fof(abstractness_v11_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_closure2(B,A) ) => ( v11_closure2(B,A) => B = g1_closure2(A,u3_msualg_1(A,B),u1_closure2(A,B)) ) ) )).
fof(abstractness_v12_aofa_a00,axiom,( ! [A] : ( l5_aofa_a00(A) => ( v12_aofa_a00(A) => A = g5_aofa_a00(u1_struct_0(A),u4_struct_0(A),u1_msualg_1(A),u2_msualg_1(A),u7_aofa_a00(A)) ) ) )).
fof(abstractness_v12_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( v12_pcs_0(A) => A = g2_pcs_0(u1_struct_0(A),u1_orders_2(A),u1_pcs_0(A)) ) ) )).
fof(abstractness_v15_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( v15_algstr_0(A) => A = g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) ) ) )).
fof(abstractness_v15_aofa_a00,axiom,( ! [A] : ( l6_aofa_a00(A) => ( v15_aofa_a00(A) => A = g6_aofa_a00(u1_struct_0(A),u4_struct_0(A),u1_msualg_1(A),u2_msualg_1(A),u8_aofa_a00(A),u7_aofa_a00(A)) ) ) )).
fof(abstractness_v1_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v1_absred_0(A) => A = g1_absred_0(u1_struct_0(A),u1_absred_0(A)) ) ) )).
fof(abstractness_v1_algstr_3,axiom,( ! [A] : ( l1_algstr_3(A) => ( v1_algstr_3(A) => A = g1_algstr_3(u1_struct_0(A),u2_struct_0(A),u3_struct_0(A),u1_algstr_3(A)) ) ) )).
fof(abstractness_v1_analmetr,axiom,( ! [A] : ( l1_analmetr(A) => ( v1_analmetr(A) => A = g1_analmetr(u1_struct_0(A),u1_analmetr(A)) ) ) )).
fof(abstractness_v1_analoaf,axiom,( ! [A] : ( l1_analoaf(A) => ( v1_analoaf(A) => A = g1_analoaf(u1_struct_0(A),u1_analoaf(A)) ) ) )).
fof(abstractness_v1_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l1_aofa_a00(B,A) ) => ( v1_aofa_a00(B,A) => B = g1_aofa_a00(A,u3_msualg_1(A,B),u4_msualg_1(A,B),u1_aofa_a00(A,B)) ) ) )).
fof(abstractness_v1_bcialg_4,axiom,( ! [A] : ( l1_bcialg_4(A) => ( v1_bcialg_4(A) => A = g1_bcialg_4(u1_struct_0(A),u1_bcialg_4(A),u1_bcialg_1(A),u2_struct_0(A)) ) ) )).
fof(abstractness_v1_bhsp_1,axiom,( ! [A] : ( l1_bhsp_1(A) => ( v1_bhsp_1(A) => A = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) ) ) )).
fof(abstractness_v1_cat_1,axiom,( ! [A] : ( l1_cat_1(A) => ( v1_cat_1(A) => A = g1_cat_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A)) ) ) )).
fof(abstractness_v1_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v1_cat_6(A) => A = g1_cat_6(u1_struct_0(A),u1_cat_6(A)) ) ) )).
fof(abstractness_v1_cayldick,axiom,( ! [A] : ( l1_cayldick(A) => ( v1_cayldick(A) => A = g1_cayldick(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_rlvect_1(A),u3_struct_0(A),u2_struct_0(A),u1_normsp_0(A),u1_cayldick(A)) ) ) )).
fof(abstractness_v1_cfuncdom,axiom,( ! [A] : ( l1_cfuncdom(A) => ( v1_cfuncdom(A) => A = g1_cfuncdom(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_clvect_1(A),u3_struct_0(A),u2_struct_0(A)) ) ) )).
fof(abstractness_v1_cgames_1,axiom,( ! [A] : ( l1_cgames_1(A) => ( v1_cgames_1(A) => A = g1_cgames_1(u1_cgames_1(A),u2_cgames_1(A)) ) ) )).
fof(abstractness_v1_clopban2,axiom,( ! [A] : ( l1_clopban2(A) => ( v1_clopban2(A) => A = g1_clopban2(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_clvect_1(A),u3_struct_0(A),u2_struct_0(A),u1_normsp_0(A)) ) ) )).
fof(abstractness_v1_clvect_1,axiom,( ! [A] : ( l1_clvect_1(A) => ( v1_clvect_1(A) => A = g1_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_clvect_1(A)) ) ) )).
fof(abstractness_v1_collsp,axiom,( ! [A] : ( l1_collsp(A) => ( v1_collsp(A) => A = g1_collsp(u1_struct_0(A),u1_collsp(A)) ) ) )).
fof(abstractness_v1_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ( v1_compos_1(A) => A = g1_compos_1(u1_compos_1(A)) ) ) )).
fof(abstractness_v1_conlat_1,axiom,( ! [A] : ( l1_conlat_1(A) => ( v1_conlat_1(A) => A = g1_conlat_1(u1_struct_0(A),u4_struct_0(A),u1_conlat_1(A)) ) ) )).
fof(abstractness_v1_csspace,axiom,( ! [A] : ( l1_csspace(A) => ( v1_csspace(A) => A = g1_csspace(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_clvect_1(A),u1_csspace(A)) ) ) )).
fof(abstractness_v1_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => ( v1_e_siec(A) => A = g1_e_siec(u1_struct_0(A),u1_e_siec(A),u2_e_siec(A)) ) ) )).
fof(abstractness_v1_extpro_1,axiom,( ! [A] : ! [B] : ( l1_extpro_1(B,A) => ( v1_extpro_1(B,A) => B = g1_extpro_1(A,u1_struct_0(B),u2_struct_0(B),u1_compos_1(B),u1_memstr_0(A,B),u2_memstr_0(A,B),u1_extpro_1(A,B)) ) ) )).
fof(abstractness_v1_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ( v1_fomodel1(A) => A = g1_fomodel1(u1_struct_0(A),u2_struct_0(A),u3_struct_0(A),u1_fomodel1(A)) ) ) )).
fof(abstractness_v1_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & l1_fsm_3(C,A,B) ) => ( v1_fsm_3(C,A,B) => C = g1_fsm_3(A,B,u1_struct_0(C),u1_rewrite3(B,C),u1_fsm_3(A,B,C)) ) ) )).
fof(abstractness_v1_funcsdom,axiom,( ! [A] : ( l1_funcsdom(A) => ( v1_funcsdom(A) => A = g1_funcsdom(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_rlvect_1(A),u3_struct_0(A),u2_struct_0(A)) ) ) )).
fof(abstractness_v1_geomtrap,axiom,( ! [A] : ( l1_geomtrap(A) => ( v1_geomtrap(A) => A = g1_geomtrap(u1_struct_0(A),u1_midsp_1(A),u1_analoaf(A)) ) ) )).
fof(abstractness_v1_graph_1,axiom,( ! [A] : ( l1_graph_1(A) => ( v1_graph_1(A) => A = g1_graph_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A)) ) ) )).
fof(abstractness_v1_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( v1_grcat_1(A) => A = g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A)) ) ) )).
fof(abstractness_v1_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ( v1_incsp_1(A) => A = g1_incsp_1(u1_incsp_1(A),u2_incsp_1(A),u3_incsp_1(A)) ) ) )).
fof(abstractness_v1_lang1,axiom,( ! [A] : ( l1_lang1(A) => ( v1_lang1(A) => A = g1_lang1(u1_struct_0(A),u1_lang1(A)) ) ) )).
fof(abstractness_v1_lattices,axiom,( ! [A] : ( l1_lattices(A) => ( v1_lattices(A) => A = g1_lattices(u1_struct_0(A),u1_lattices(A)) ) ) )).
fof(abstractness_v1_lopban_2,axiom,( ! [A] : ( l1_lopban_2(A) => ( v1_lopban_2(A) => A = g1_lopban_2(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_rlvect_1(A),u3_struct_0(A),u2_struct_0(A),u1_normsp_0(A)) ) ) )).
fof(abstractness_v1_memstr_0,axiom,( ! [A] : ! [B] : ( l1_memstr_0(B,A) => ( v1_memstr_0(B,A) => B = g1_memstr_0(A,u1_struct_0(B),u2_struct_0(B),u1_memstr_0(A,B),u2_memstr_0(A,B)) ) ) )).
fof(abstractness_v1_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( v1_metric_1(A) => A = g1_metric_1(u1_struct_0(A),u1_metric_1(A)) ) ) )).
fof(abstractness_v1_midsp_1,axiom,( ! [A] : ( l1_midsp_1(A) => ( v1_midsp_1(A) => A = g1_midsp_1(u1_struct_0(A),u1_midsp_1(A)) ) ) )).
fof(abstractness_v1_midsp_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & l1_midsp_3(B,A) ) => ( v1_midsp_3(B,A) => B = g1_midsp_3(A,u1_struct_0(B),u1_midsp_1(B),u1_midsp_3(A,B)) ) ) )).
fof(abstractness_v1_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & l1_modelc_3(B,A) ) => ( v1_modelc_3(B,A) => B = g1_modelc_3(A,u1_modelc_3(A,B),u2_modelc_3(A,B),u3_modelc_3(A,B)) ) ) )).
fof(abstractness_v1_msualg_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( v1_msualg_1(A) => A = g1_msualg_1(u1_struct_0(A),u4_struct_0(A),u1_msualg_1(A),u2_msualg_1(A)) ) ) )).
fof(abstractness_v1_normsp_1,axiom,( ! [A] : ( l1_normsp_1(A) => ( v1_normsp_1(A) => A = g1_normsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_normsp_0(A)) ) ) )).
fof(abstractness_v1_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(A) => A = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) )).
fof(abstractness_v1_parsp_1,axiom,( ! [A] : ( l1_parsp_1(A) => ( v1_parsp_1(A) => A = g1_parsp_1(u1_struct_0(A),u1_parsp_1(A)) ) ) )).
fof(abstractness_v1_petri,axiom,( ! [A] : ( l1_petri(A) => ( v1_petri(A) => A = g1_petri(u1_struct_0(A),u4_struct_0(A),u1_petri(A),u2_petri(A)) ) ) )).
fof(abstractness_v1_polyalg1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_polyalg1(B,A) ) => ( v1_polyalg1(B,A) => B = g1_polyalg1(A,u1_struct_0(B),u1_algstr_0(B),u2_algstr_0(B),u2_struct_0(B),u3_struct_0(B),u1_vectsp_1(A,B)) ) ) )).
fof(abstractness_v1_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_pre_topc(A) => A = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) ) ) )).
fof(abstractness_v1_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => ( v1_qmax_1(A) => A = g1_qmax_1(u1_qmax_1(A),u2_qmax_1(A),u3_qmax_1(A)) ) ) )).
fof(abstractness_v1_rewrite3,axiom,( ! [A] : ! [B] : ( l1_rewrite3(B,A) => ( v1_rewrite3(B,A) => B = g1_rewrite3(A,u1_struct_0(B),u1_rewrite3(A,B)) ) ) )).
fof(abstractness_v1_rlvect_1,axiom,( ! [A] : ( l1_rlvect_1(A) => ( v1_rlvect_1(A) => A = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) ) )).
fof(abstractness_v1_sgraph1,axiom,( ! [A] : ( l1_sgraph1(A) => ( v1_sgraph1(A) => A = g1_sgraph1(u1_struct_0(A),u1_sgraph1(A)) ) ) )).
fof(abstractness_v1_stacks_1,axiom,( ! [A] : ( l1_stacks_1(A) => ( v1_stacks_1(A) => A = g1_stacks_1(u1_struct_0(A),u4_struct_0(A),u1_stacks_1(A),u2_stacks_1(A),u3_stacks_1(A),u4_stacks_1(A)) ) ) )).
fof(abstractness_v1_symsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & l1_symsp_1(B,A) ) => ( v1_symsp_1(B,A) => B = g1_symsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B),u1_orders_2(B)) ) ) )).
fof(abstractness_v1_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ( v1_turing_1(A) => A = g1_turing_1(u1_turing_1(A),u2_turing_1(A),u3_turing_1(A),u4_turing_1(A),u5_turing_1(A)) ) ) )).
fof(abstractness_v1_unialg_1,axiom,( ! [A] : ( l1_unialg_1(A) => ( v1_unialg_1(A) => A = g1_unialg_1(u1_struct_0(A),u1_unialg_1(A)) ) ) )).
fof(abstractness_v1_waybel_9,axiom,( ! [A] : ( l1_waybel_9(A) => ( v1_waybel_9(A) => A = g1_waybel_9(u1_struct_0(A),u1_orders_2(A),u1_pre_topc(A)) ) ) )).
fof(abstractness_v1_zmodul01,axiom,( ! [A] : ( l1_zmodul01(A) => ( v1_zmodul01(A) => A = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) )).
fof(abstractness_v22_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ( v22_algstr_0(A) => A = g4_algstr_0(u1_struct_0(A),u2_algstr_0(A),u3_struct_0(A)) ) ) )).
fof(abstractness_v29_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v29_algstr_0(A) => A = g5_algstr_0(u1_struct_0(A),u2_algstr_0(A),u2_struct_0(A),u3_struct_0(A)) ) ) )).
fof(abstractness_v2_analmetr,axiom,( ! [A] : ( l2_analmetr(A) => ( v2_analmetr(A) => A = g2_analmetr(u1_struct_0(A),u1_analoaf(A),u1_analmetr(A)) ) ) )).
fof(abstractness_v2_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => ( v2_armstrng(A) => A = g1_armstrng(u1_armstrng(A),u2_armstrng(A),u3_armstrng(A)) ) ) )).
fof(abstractness_v2_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( v2_bcialg_1(A) => A = g2_bcialg_1(u1_struct_0(A),u1_bcialg_1(A),u2_struct_0(A)) ) ) )).
fof(abstractness_v2_cat_4,axiom,( ! [A] : ( l1_cat_4(A) => ( v2_cat_4(A) => A = g1_cat_4(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),u1_cat_4(A),u2_cat_4(A),u3_cat_4(A),u4_cat_4(A)) ) ) )).
fof(abstractness_v2_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & l2_fsm_1(C,A,B) ) => ( v2_fsm_1(C,A,B) => C = g2_fsm_1(A,B,u1_struct_0(C),u1_fsm_1(B,C),u3_fsm_1(A,B,C),u2_fsm_1(B,C)) ) ) )).
fof(abstractness_v2_gaussint,axiom,( ! [A] : ( l1_gaussint(A) => ( v2_gaussint(A) => A = g1_gaussint(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_zmodul01(A),u3_struct_0(A),u2_struct_0(A)) ) ) )).
fof(abstractness_v2_group_9,axiom,( ! [A] : ! [B] : ( l1_group_9(B,A) => ( v2_group_9(B,A) => B = g1_group_9(A,u1_struct_0(B),u2_algstr_0(B),u1_group_9(A,B)) ) ) )).
fof(abstractness_v2_lang1,axiom,( ! [A] : ( l2_lang1(A) => ( v2_lang1(A) => A = g2_lang1(u1_struct_0(A),u2_lang1(A),u1_lang1(A)) ) ) )).
fof(abstractness_v2_lattices,axiom,( ! [A] : ( l2_lattices(A) => ( v2_lattices(A) => A = g2_lattices(u1_struct_0(A),u2_lattices(A)) ) ) )).
fof(abstractness_v2_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & l1_mod_2(B,A) ) => ( v2_mod_2(B,A) => B = g1_mod_2(A,u1_mod_2(A,B),u2_mod_2(A,B),u3_mod_2(A,B)) ) ) )).
fof(abstractness_v2_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => ( v2_pcs_0(A) => A = g1_pcs_0(u1_struct_0(A),u1_pcs_0(A)) ) ) )).
fof(abstractness_v2_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( v2_ringcat1(A) => A = g1_ringcat1(u1_ringcat1(A),u2_ringcat1(A),u3_ringcat1(A)) ) ) )).
fof(abstractness_v2_robbins1,axiom,( ! [A] : ( l2_robbins1(A) => ( v2_robbins1(A) => A = g2_robbins1(u1_struct_0(A),u2_lattices(A),u1_robbins1(A)) ) ) )).
fof(abstractness_v2_vectsp_2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_vectsp_2(B,A) ) => ( v2_vectsp_2(B,A) => B = g1_vectsp_2(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ) )).
fof(abstractness_v36_algstr_0,axiom,( ! [A] : ( l6_algstr_0(A) => ( v36_algstr_0(A) => A = g6_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_algstr_0(A),u3_struct_0(A),u2_struct_0(A)) ) ) )).
fof(abstractness_v3_abcmiz_0,axiom,( ! [A] : ( l1_abcmiz_0(A) => ( v3_abcmiz_0(A) => A = g1_abcmiz_0(u1_abcmiz_0(A),u2_abcmiz_0(A)) ) ) )).
fof(abstractness_v3_conlat_1,axiom,( ! [A] : ! [B] : ( ( l5_struct_0(A) & l2_conlat_1(B,A) ) => ( v3_conlat_1(B,A) => B = g2_conlat_1(A,u2_conlat_1(A,B),u3_conlat_1(A,B)) ) ) )).
fof(abstractness_v3_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & l3_fsm_1(C,A,B) ) => ( v3_fsm_1(C,A,B) => C = g3_fsm_1(A,B,u1_struct_0(C),u1_fsm_1(B,C),u4_fsm_1(A,B,C),u2_fsm_1(B,C)) ) ) )).
fof(abstractness_v3_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & l2_fsm_3(C,A,B) ) => ( v3_fsm_3(C,A,B) => C = g2_fsm_3(A,B,u1_struct_0(C),u1_rewrite3(B,C),u1_fsm_3(A,B,C),u2_fsm_3(A,B,C)) ) ) )).
fof(abstractness_v3_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( v3_lattices(A) => A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) )).
fof(abstractness_v3_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ( v3_msualg_1(B,A) => B = g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)) ) ) )).
fof(abstractness_v3_osalg_1,axiom,( ! [A] : ( l3_osalg_1(A) => ( v3_osalg_1(A) => A = g3_osalg_1(u1_struct_0(A),u1_orders_2(A),u4_struct_0(A),u1_osalg_1(A),u1_msualg_1(A),u2_msualg_1(A)) ) ) )).
fof(abstractness_v3_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( v3_prefer_1(A) => A = g3_prefer_1(u1_struct_0(A),u1_prefer_1(A),u1_pcs_0(A),u1_orders_2(A)) ) ) )).
fof(abstractness_v3_qmax_1,axiom,( ! [A] : ( l2_qmax_1(A) => ( v3_qmax_1(A) => A = g2_qmax_1(u1_struct_0(A),u1_orders_2(A),u1_robbins1(A)) ) ) )).
fof(abstractness_v3_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l1_struct_0(B) & l2_vectsp_2(C,A,B) ) => ( v3_vectsp_2(C,A,B) => C = g2_vectsp_2(A,B,u1_struct_0(C),u1_algstr_0(C),u2_struct_0(C),u1_vectsp_1(B,C),u1_vectsp_2(B,C)) ) ) )).
fof(abstractness_v4_aofa_l00,axiom,( ! [A] : ! [B] : ( l2_aofa_l00(B,A) => ( v4_aofa_l00(B,A) => B = g2_aofa_l00(A,u1_struct_0(B),u4_struct_0(B),u1_msualg_1(B),u2_msualg_1(B),u1_aofa_l00(B),u7_aofa_a00(B),u2_aofa_l00(A,B),u3_aofa_l00(A,B)) ) ) )).
fof(abstractness_v4_robbins1,axiom,( ! [A] : ( l4_robbins1(A) => ( v4_robbins1(A) => A = g4_robbins1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_robbins1(A)) ) ) )).
fof(abstractness_v4_vectmetr,axiom,( ! [A] : ( l1_vectmetr(A) => ( v4_vectmetr(A) => A = g1_vectmetr(u1_struct_0(A),u1_metric_1(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) ) )).
fof(abstractness_v5_cat_4,axiom,( ! [A] : ( l2_cat_4(A) => ( v5_cat_4(A) => A = g2_cat_4(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),u5_cat_4(A),u6_cat_4(A),u7_cat_4(A),u8_cat_4(A)) ) ) )).
fof(abstractness_v5_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_closure1(B,A) ) => ( v5_closure1(B,A) => B = g1_closure1(A,u3_msualg_1(A,B),u1_closure1(A,B)) ) ) )).
fof(abstractness_v5_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & l1_combgras(C,A,B) ) => ( v5_combgras(C,A,B) => C = g1_combgras(A,B,u1_combgras(A,B,C),u2_combgras(A,B,C)) ) ) )).
fof(abstractness_v5_rltopsp1,axiom,( ! [A] : ( l1_rltopsp1(A) => ( v5_rltopsp1(A) => A = g1_rltopsp1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_pre_topc(A)) ) ) )).
fof(abstractness_v6_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => ( v6_altcat_1(A) => A = g2_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A)) ) ) )).
fof(abstractness_v6_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & l2_fsm_2(C,A,B) ) => ( v6_fsm_2(C,A,B) => C = g2_fsm_2(A,B,u1_struct_0(C),u1_fsm_1(B,C),u4_fsm_1(A,B,C),u2_fsm_1(B,C),u1_fsm_2(B,C)) ) ) )).
fof(abstractness_v6_robbins3,axiom,( ! [A] : ( l3_robbins3(A) => ( v6_robbins3(A) => A = g3_robbins3(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_orders_2(A)) ) ) )).
fof(abstractness_v6_waybel_0,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_waybel_0(B,A) ) => ( v6_waybel_0(B,A) => B = g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),u1_waybel_0(A,B)) ) ) )).
fof(abstractness_v7_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ( v7_abcmiz_0(A) => A = g2_abcmiz_0(u1_struct_0(A),u1_abcmiz_0(A),u1_orders_2(A),u2_abcmiz_0(A),u3_abcmiz_0(A)) ) ) )).
fof(abstractness_v7_clvect_1,axiom,( ! [A] : ( l2_clvect_1(A) => ( v7_clvect_1(A) => A = g2_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_clvect_1(A),u1_normsp_0(A)) ) ) )).
fof(abstractness_v7_modelc_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & l2_modelc_3(B,A) ) => ( v7_modelc_3(B,A) => B = g2_modelc_3(A,u1_struct_0(B),u4_modelc_3(A,B),u5_modelc_3(A,B),u6_modelc_3(A,B)) ) ) )).
fof(abstractness_v7_vectsp_1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_vectsp_1(B,A) ) => ( v7_vectsp_1(B,A) => B = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) )).
fof(abstractness_v8_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ( v8_algstr_0(A) => A = g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A)) ) ) )).
fof(abstractness_v9_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C,A,B) ) => ( v9_functor0(C,A,B) => C = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) ) ) )).
fof(abstractness_v9_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => ( v9_modelc_1(A) => A = g2_modelc_1(u1_struct_0(A),u3_modelc_1(A),u1_lattices(A),u1_robbins1(A),u4_modelc_1(A),u5_modelc_1(A),u6_modelc_1(A)) ) ) )).
fof(abstractness_v9_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => ( v9_modelc_2(A) => A = g1_modelc_2(u1_struct_0(A),u1_modelc_2(A),u1_lattices(A),u2_lattices(A),u1_robbins1(A),u2_modelc_2(A),u3_modelc_2(A),u4_modelc_2(A)) ) ) )).
fof(antisymmetry_r2_hidden,axiom,( ! [A] : ! [B] : ( r2_hidden(A,B) => ~ r2_hidden(B,A) ) )).
fof(asymmetry_r1_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_exchsort(A,B,C) => ~ r1_exchsort(A,C,B) ) ) )).
fof(asymmetry_r1_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k4_ordinal1)) & m1_subset_1(C,k4_finseq_2(A,k4_ordinal1)) ) => ( r1_polynom3(A,B,C) => ~ r1_polynom3(A,C,B) ) ) )).
fof(asymmetry_r1_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r1_pre_poly(A,B,C) => ~ r1_pre_poly(A,C,B) ) ) )).
fof(asymmetry_r2_tarski,axiom,( ! [A] : ! [B] : ( r2_tarski(A,B) => ~ r2_tarski(B,A) ) )).
fof(asymmetry_r2_xboole_0,axiom,( ! [A] : ! [B] : ( r2_xboole_0(A,B) => ~ r2_xboole_0(B,A) ) )).
fof(asymmetry_r3_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r3_pboole(A,B,C) => ~ r3_pboole(A,C,B) ) ) )).
fof(cc10_abcmiz_1,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) ) ) )).
fof(cc10_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v11_absred_0(A) => v12_absred_0(A) ) ) )).
fof(cc10_afinsq_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ( v5_ordinal1(B) & v1_finset_1(B) ) ) )).
fof(cc10_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ( v14_algstr_0(A) => ( v12_algstr_0(A) & v13_algstr_0(A) ) ) ) )).
fof(cc10_card_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) ) => v3_card_1(A,1) ) )).
fof(cc10_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( m1_subset_1(C,k4_card_3(B)) => v4_relat_1(C,A) ) ) )).
fof(cc10_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & v5_cgames_1(A) & ~ v7_cgames_1(A) ) => ( v2_cgames_1(A) & v9_cgames_1(A) ) ) )).
fof(cc10_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure2(B,A) => ( v15_closure2(B,A) => v16_closure2(B,A) ) ) ) )).
fof(cc10_cohsp_1,axiom,( ! [A] : ( v3_cohsp_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v5_cohsp_1(B) ) => ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v8_cohsp_1(B) ) ) ) )).
fof(cc10_compact1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v7_compact1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_compact1(C,A,B) ) ) ) ) )).
fof(cc10_comput_1,axiom,( ! [A] : ( v7_comput_1(A) => ( v1_relat_1(A) & v1_funct_1(A) ) ) )).
fof(cc10_dilworth,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_eqrel_1(B,u1_struct_0(A)) => v6_dilworth(B,A) ) ) )).
fof(cc10_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) => ( v3_euclid_7(B) => v1_rlvect_3(B,k10_funcsdom(k2_finseq_1(A))) ) ) ) )).
fof(cc10_exchsort,axiom,( ! [A] : ! [B] : ( ( v3_membered(B) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k9_funct_2(A,B)) => v3_valued_0(C) ) ) )).
fof(cc10_finseq_1,axiom,( ! [A] : ( v3_finseq_1(A) => ! [B] : ( m1_subset_1(B,A) => v1_finseq_1(B) ) ) )).
fof(cc10_fomodel0,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,k2_xcmplx_0(A,k5_numbers)) & v1_finseq_1(B) ) => ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) ) ) )).
fof(cc10_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v4_fomodel1(B,A) => ~ v6_fomodel1(B,A) ) ) ) )).
fof(cc10_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v3_fomodel2(C,A,B) => v4_fomodel2(C,A) ) ) ) )).
fof(cc10_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [E] : ( v9_fomodel4(E,A,B,k3_xboole_0(C,D)) => v9_fomodel4(E,A,B,C) ) ) )).
fof(cc10_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_funct_1(C,B) ) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) ) ) ) )).
fof(cc10_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_funct_2(C,A,B) => v4_funct_1(C) ) )).
fof(cc10_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => v4_glib_000(B) ) ) )).
fof(cc10_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k3_glib_002(A)) ) => ! [C] : ( m2_glib_000(C,A,B,k21_glib_000(A,B)) => v4_glib_002(C,A) ) ) )).
fof(cc10_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v4_tops_1(B,A) ) => v6_tops_1(B,A) ) ) ) )).
fof(cc10_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v19_lattices(B,A) => v21_lattices(B,A) ) ) ) )).
fof(cc10_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v2_lfuzzy_0(A) ) => ( ~ v2_struct_0(A) & v9_waybel_1(A) & v2_lfuzzy_0(A) ) ) ) )).
fof(cc10_membered,axiom,( ! [A] : ( v5_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_int_1(B) ) ) )).
fof(cc10_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v1_orders_4(A) ) => ( v2_pre_topc(A) & v1_metrizts(A) ) ) ) )).
fof(cc10_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v2_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_mod_4(C,A,B) ) ) ) ) )).
fof(cc10_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v3_group_1(A) & v13_monoid_0(A) ) => ( ~ v2_struct_0(A) & v1_group_1(A) & v16_monoid_0(A) ) ) ) )).
fof(cc10_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) => v3_trees_2(E) ) ) )).
fof(cc10_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) ) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) => v10_msafree5(E,A,B,C) ) ) ) )).
fof(cc10_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_nat_6(A,2) ) => ( v7_ordinal1(A) & v1_int_2(A) & ~ v1_abian(A) ) ) )).
fof(cc10_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_numpoly1(A) ) => ( v7_ordinal1(A) & v2_numpoly1(A,3) ) ) )).
fof(cc10_ordinal1,axiom,( ! [A] : ( v6_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v6_ordinal1(B) ) ) )).
fof(cc10_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_pcs_0(A) & v6_pcs_0(A) & v13_pcs_0(A) ) => v15_pcs_0(A) ) ) )).
fof(cc10_pre_poly,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) => ! [C] : ( m1_subset_1(C,B) => v4_relat_1(C,A) ) ) )).
fof(cc10_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_rewrite1(A) ) => ( v1_relat_1(A) & v4_rewrite1(A) ) ) )).
fof(cc10_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_ring_2(B,A) => v4_ring_2(B,A) ) ) ) )).
fof(cc10_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_isomichi(B,A) => v4_roughs_1(B,A) ) ) ) )).
fof(cc10_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ( v4_scmyciel(A) & v11_scmyciel(A) ) ) )).
fof(cc10_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v1_matroid0(A) & v3_simplex0(A) ) => v3_matroid0(A) ) ) )).
fof(cc10_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => v13_struct_0(A,1) ) ) )).
fof(cc10_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tsep_1(B,A) => v1_borsuk_1(B,A) ) ) ) )).
fof(cc10_tex_2,axiom,( ! [A] : ( ( v13_struct_0(A,1) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & ~ v1_tex_2(B,A) ) ) ) ) )).
fof(cc10_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tsep_1(B,A) & ~ v2_tex_3(B,A) ) => ~ v1_tex_3(B,A) ) ) ) )).
fof(cc10_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_topalg_6(A)) => ( v5_topalg_6(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc10_topgen_4,axiom,( ! [A] : ( v1_xboole_0(A) => v4_card_3(A) ) )).
fof(cc10_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_trees_3(B,A) => v3_trees_3(B) ) ) )).
fof(cc10_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v6_pre_topc(B) ) ) ) ) )).
fof(cc10_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tex_2(B,A) & v2_tsp_2(B,A) ) => ~ v1_borsuk_1(B,A) ) ) ) )).
fof(cc10_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_valued_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_valued_0(B) ) ) )).
fof(cc10_valued_2,axiom,( ! [A] : ( v2_valued_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_valued_2(B) ) ) )).
fof(cc10_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_waybel18(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v1_waybel25(A) ) ) ) )).
fof(cc10_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v3_waybel_3(A) ) => ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v3_waybel30(A) ) ) ) )).
fof(cc10_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v1_lattice3(A) & v24_waybel_0(A) ) => ( v3_orders_2(A) & v1_lattice3(A) & v2_yellow_0(A) ) ) ) )).
fof(cc10_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v11_waybel_1(A) ) => ( ~ v2_struct_0(A) & v9_waybel_1(A) ) ) ) )).
fof(cc10_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v1_xxreal_2(A) ) => ( v3_membered(A) & v3_xxreal_2(A) ) ) )).
fof(cc10_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v3_yellow21(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) ) => ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & v3_yellow21(B) ) ) ) ) )).
fof(cc10_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v8_yellow_0(B,A) => v6_yellow_0(B,A) ) ) ) )).
fof(cc11_abcmiz_1,axiom,( ! [A] : ( ( v12_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) ) ) )).
fof(cc11_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v11_absred_0(A) => v10_absred_0(A) ) ) )).
fof(cc11_algstr_0,axiom,( ! [A] : ( ( v12_algstr_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v9_algstr_0(B,A) ) ) )).
fof(cc11_card_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_card_1(A) ) => ! [B] : ( v3_card_1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc11_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_subset_1(B,k8_card_3(A)) => v5_funct_1(B,A) ) ) )).
fof(cc11_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & v8_cgames_1(A) ) => ( v2_cgames_1(A) & ~ v5_cgames_1(A) & ~ v6_cgames_1(A) ) ) )).
fof(cc11_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure2(B,A) => ( v13_closure2(B,A) => v17_closure2(B,A) ) ) ) )).
fof(cc11_cohsp_1,axiom,( ! [A] : ( v2_finsub_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_cohsp_1(B) & v8_cohsp_1(B) ) => ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v9_cohsp_1(B) ) ) ) )).
fof(cc11_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v7_comput_1(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v4_valued_0(A) & v2_margrel1(A) ) ) )).
fof(cc11_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_dilworth(B,A) => v1_dilworth(B,A) ) ) ) )).
fof(cc11_euclid_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) => ( v3_euclid_7(B) => v1_rlvect_3(B,k7_real_ns1(A)) ) ) ) )).
fof(cc11_exchsort,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_exchsort(B) ) => ! [C] : ( m1_exchsort(C,B) => v5_relat_1(C,A) ) ) )).
fof(cc11_finseq_1,axiom,( ! [A] : ( v3_finseq_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v3_finseq_1(B) ) ) )).
fof(cc11_fomodel0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ( v1_relat_1(B) & v1_funct_1(B) & v1_pre_poly(B) ) ) ) )).
fof(cc11_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( ( v5_fomodel1(B,A) & v8_fomodel1(B,A) ) => ( v5_fomodel1(B,A) & v6_fomodel1(B,A) ) ) ) ) )).
fof(cc11_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ! [D] : ( m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v3_fomodel2(D,A,k2_xcmplx_0(B,k3_xcmplx_0(k5_numbers,C))) => v3_fomodel2(D,A,k2_xcmplx_0(B,C)) ) ) ) )).
fof(cc11_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ! [E] : ( v9_fomodel4(E,A,B,D) => v9_fomodel4(E,A,B,C) ) ) )).
fof(cc11_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v5_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => v5_glib_000(B) ) ) )).
fof(cc11_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v3_glib_002(A) & v11_glib_000(B,A) & m1_subset_1(B,k6_glib_000(A)) ) => ! [C] : ( m2_glib_000(C,A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) => v3_glib_002(C) ) ) )).
fof(cc11_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_tops_1(B,A) => ( v4_pre_topc(B,A) & v4_tops_1(B,A) ) ) ) ) )).
fof(cc11_membered,axiom,( ! [A] : ( v6_membered(A) => ! [B] : ( m1_subset_1(B,A) => v7_ordinal1(B) ) ) )).
fof(cc11_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v7_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v3_mod_4(C,A,B) ) ) ) ) )).
fof(cc11_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => ~ v2_struct_0(B) ) ) )).
fof(cc11_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l3_msualg_1(C,A) => ( v5_msafree4(C,A,B) => v1_msafree1(C,A) ) ) ) )).
fof(cc11_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) ) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v9_msafree5(E,A,B,k1_msafree3(A,B),C,D) => ~ v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) ) ) ) )).
fof(cc11_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_nat_6(B,A) => ~ v8_ordinal1(B) ) ) )).
fof(cc11_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_numpoly1(A,4) ) => ( v7_ordinal1(A) & v1_pythtrip(A) ) ) )).
fof(cc11_ordinal1,axiom,( ! [A] : ( v8_ordinal1(A) => v7_ordinal1(A) ) )).
fof(cc11_pcs_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v16_pcs_0(A) ) => ( v1_relat_1(A) & v1_yellow_1(A) & v7_pcs_0(A) ) ) )).
fof(cc11_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) ) => ! [C] : ( m1_subset_1(C,B) => ( v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) ) ) )).
fof(cc11_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_rewrite1(A) & v4_rewrite1(A) ) => ( v1_relat_1(A) & v8_rewrite1(A) ) ) )).
fof(cc11_ring_2,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_int_3(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) ) ) ) )).
fof(cc11_robbins3,axiom,( ! [A] : ( l4_robbins1(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v8_robbins1(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) ) ) ) )).
fof(cc11_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_roughs_1(B,A) => v4_isomichi(B,A) ) ) ) )).
fof(cc11_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ( v4_scmyciel(A) & v12_scmyciel(A) ) ) )).
fof(cc11_simplex0,axiom,( ! [A] : ( ( v2_simplex0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) => v1_finset_1(B) ) ) ) )).
fof(cc11_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v13_struct_0(A,1) => ( ~ v2_struct_0(A) & v7_struct_0(A) ) ) ) )).
fof(cc11_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_borsuk_1(B,A) => v1_tsep_1(B,A) ) ) ) )).
fof(cc11_tex_2,axiom,( ! [A] : ( ( v13_struct_0(A,1) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v1_tex_2(B,A) ) => ( ~ v2_struct_0(B) & v7_struct_0(B) ) ) ) ) )).
fof(cc11_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tsep_1(B,A) ) => ( ~ v2_struct_0(B) & ~ v3_tex_3(B,A) ) ) ) ) )).
fof(cc11_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_topalg_6(A)) => ( v6_topalg_6(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc11_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => ( v5_topgen_4(B,A) & v6_topgen_4(B,A) ) ) ) ) )).
fof(cc11_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_trees_3(B,A) ) => ! [C] : ( m1_subset_1(C,B) => v5_relat_1(C,A) ) ) )).
fof(cc11_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v1_tex_2(B,A) ) => ( ~ v2_struct_0(B) & ~ v6_pre_topc(B) ) ) ) ) )).
fof(cc11_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_valued_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_valued_0(B) ) ) )).
fof(cc11_valued_2,axiom,( ! [A] : ( v3_valued_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v3_valued_2(B) ) ) )).
fof(cc11_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v3_lattice3(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) ) ) ) )).
fof(cc11_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v2_xxreal_2(A) ) => ( v3_membered(A) & v4_xxreal_2(A) ) ) )).
fof(cc11_yellow_0,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & v5_yellow_0(B,A) ) => ( ~ v2_struct_0(B) & v2_lattice3(B) & v4_yellow_0(B,A) & v5_yellow_0(B,A) ) ) ) ) )).
fof(cc12_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) => ( ( v1_xboole_0(B) & v1_funct_1(B) ) => ( v1_funct_1(B) & v15_abcmiz_1(B,A) ) ) ) ) )).
fof(cc12_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v10_absred_0(A) => v11_absred_0(A) ) ) )).
fof(cc12_algstr_0,axiom,( ! [A] : ( ( v13_algstr_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v10_algstr_0(B,A) ) ) )).
fof(cc12_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( m1_subset_1(C,k8_card_3(B)) => v4_relat_1(C,A) ) ) )).
fof(cc12_cayldick,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_cayldick)) => ( ~ v9_struct_0(A,k3_cayldick) => ( ~ v1_xboole_0(A) & ~ v9_struct_0(A,k3_cayldick) ) ) ) )).
fof(cc12_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & ~ v5_cgames_1(A) & ~ v6_cgames_1(A) ) => ( v2_cgames_1(A) & v8_cgames_1(A) ) ) )).
fof(cc12_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_cohsp_1(A) & v9_cohsp_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v10_cohsp_1(A) ) ) )).
fof(cc12_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k9_comput_1) => v7_comput_1(A) ) )).
fof(cc12_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v4_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_card_1(B,1) => v7_dilworth(B,A) ) ) ) )).
fof(cc12_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,k1_funct_2(A,C)) => v5_relat_1(D,B) ) ) )).
fof(cc12_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v5_valued_0(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) ) )).
fof(cc12_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k9_funct_2(A,k3_finseq_2(B))) => v1_pre_poly(C) ) )).
fof(cc12_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v12_fomodel1(B,A) => v3_fomodel0(B,k15_fomodel1(A)) ) ) )).
fof(cc12_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v5_fomodel2(B,A) => ~ v15_fomodel1(B,A) ) ) ) )).
fof(cc12_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v1_fomodel4(B,A) => v12_fomodel4(B,A) ) ) )).
fof(cc12_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k21_glib_000(A,B))) ) => ! [D] : ( m2_glib_000(D,A,B,C) => v2_glib_000(D) ) ) )).
fof(cc12_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) & v4_tops_1(B,A) ) => v5_tops_1(B,A) ) ) ) )).
fof(cc12_membered,axiom,( ! [A] : ( v1_xboole_0(A) => v6_membered(A) ) )).
fof(cc12_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v3_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v7_mod_4(C,A,B) ) ) ) ) )).
fof(cc12_monoid_0,axiom,( ! [A] : ( ( v1_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v1_monoid_0(B) ) ) )).
fof(cc12_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m3_pboole(B,u1_struct_0(A),k4_equation(A)) & v4_msualg_1(C,A) & v9_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( l3_msualg_1(D,A) => ( ( v4_msualg_1(D,A) & v4_msafree4(D,A,C) ) => ( v4_msualg_1(D,A) & v9_msafree4(D,A,B) ) ) ) ) )).
fof(cc12_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),D,C)) ) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,B,k1_msafree3(A,D))) => ( v11_msafree5(F,A,B,C,D,E) => ~ v1_xboole_0(F) ) ) ) )).
fof(cc12_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) ) => ! [B] : ( m1_nat_6(B,A) => v2_xxreal_0(B) ) ) )).
fof(cc12_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_pythtrip(A) ) => ( v7_ordinal1(A) & v2_numpoly1(A,4) ) ) )).
fof(cc12_ordinal1,axiom,( ! [A] : ( v8_ordinal1(A) => v1_zfmisc_1(A) ) )).
fof(cc12_pcs_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v17_pcs_0(A) ) => ( v1_relat_1(A) & v16_pcs_0(A) ) ) )).
fof(cc12_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( m1_subset_1(C,k18_pre_poly(A,B)) => v4_valued_0(C) ) ) )).
fof(cc12_rewrite1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v6_rewrite1(A) ) ) )).
fof(cc12_robbins3,axiom,( ! [A] : ( l2_qmax_1(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v6_oposet_1(A) & v7_oposet_1(A) & v10_oposet_1(A) ) ) ) )).
fof(cc12_roughs_4,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) ) => ( ~ v2_struct_0(A) & v2_roughs_1(A) & ~ v8_isomichi(A) & v31_roughs_4(A) ) ) ) )).
fof(cc12_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v12_scmyciel(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_tarski(A))) => ( v9_scmyciel(B,A) => ( v1_finset_1(B) & v9_scmyciel(B,A) ) ) ) ) )).
fof(cc12_simplex0,axiom,( ! [A] : ( ( v3_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) => v5_finset_1(B) ) ) ) )).
fof(cc12_struct_0,axiom,( ! [A] : ( l5_struct_0(A) => ( ~ v2_struct_0(A) => v14_struct_0(A) ) ) )).
fof(cc12_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) ) ) ) )).
fof(cc12_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v7_struct_0(B) ) => ( ~ v2_struct_0(B) & v1_tex_2(B,A) ) ) ) ) )).
fof(cc12_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v3_tex_3(B,A) ) => ( ~ v2_struct_0(B) & ~ v1_tsep_1(B,A) ) ) ) ) )).
fof(cc12_topgen_4,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v7_topgen_4(A) ) => ( v2_pre_topc(A) & v6_pre_topc(A) ) ) ) )).
fof(cc12_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,A,B) & v3_trees_2(C) ) ) ) ) )).
fof(cc12_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v6_pre_topc(B) ) => ( ~ v2_struct_0(B) & v1_tex_2(B,A) ) ) ) ) )).
fof(cc12_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v3_valued_0(B) ) ) )).
fof(cc12_valued_2,axiom,( ! [A] : ( v4_valued_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_valued_2(B) ) ) )).
fof(cc12_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v25_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v1_yellow_0(A) ) ) ) )).
fof(cc12_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & v5_xxreal_2(A) ) => ( v5_membered(A) & v1_finset_1(A) ) ) )).
fof(cc12_yellow_0,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & v6_yellow_0(B,A) ) => ( ~ v2_struct_0(B) & v1_lattice3(B) & v4_yellow_0(B,A) & v6_yellow_0(B,A) ) ) ) ) )).
fof(cc13_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v16_algstr_0(B,A) & v17_algstr_0(B,A) ) => v18_algstr_0(B,A) ) ) ) )).
fof(cc13_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(B)) => v1_partfun1(C,A) ) ) )).
fof(cc13_cayldick,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_cayldick)) => ( ~ v9_struct_0(A,k3_cayldick) => ( ~ v9_struct_0(A,k3_cayldick) & v18_algstr_0(A,k3_cayldick) ) ) ) )).
fof(cc13_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k9_comput_1) => ( v2_margrel1(A) & v3_margrel1(A,k4_ordinal1) ) ) )).
fof(cc13_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v2_finseq_1(A) ) ) )).
fof(cc13_fomodel0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,k2_xcmplx_0(A,1)) & v1_finseq_1(B) ) => ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) ) ) )).
fof(cc13_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v3_fomodel0(B,k15_fomodel1(A)) => v12_fomodel1(B,A) ) ) )).
fof(cc13_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k30_fomodel2(A)) => v4_fomodel2(B,A) ) ) )).
fof(cc13_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v1_fomodel4(B,A) => v12_fomodel4(B,A) ) ) )).
fof(cc13_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k1_zfmisc_1(k21_glib_000(A,k6_domain_1(k6_glib_000(A),B)))) ) => ! [D] : ( m2_glib_000(D,A,k6_domain_1(k6_glib_000(A),B),C) => v4_glib_000(D) ) ) )).
fof(cc13_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_isomichi(B,A) => ( ~ v4_isomichi(B,A) & ~ v5_isomichi(B,A) ) ) ) ) )).
fof(cc13_membered,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_membered(B) ) ) )).
fof(cc13_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v8_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v4_mod_4(C,A,B) ) ) ) ) )).
fof(cc13_monoid_0,axiom,( ! [A] : ( ( v2_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v2_monoid_0(B) ) ) )).
fof(cc13_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( l3_msualg_1(C,A) => ( v4_msafree4(C,A,B) => ( v4_msafree4(C,A,B) & v9_msafree4(C,A,k5_msafree4(A,B)) ) ) ) ) )).
fof(cc13_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_finseq_1(D,k3_card_3(B)) => ( v17_msafree5(D,A,B,C) => ~ v1_xboole_0(D) ) ) ) )).
fof(cc13_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_nat_6(B,A) => ~ v1_nat_6(B,A) ) ) )).
fof(cc13_numpoly1,axiom,( ! [A] : ( m1_subset_1(A,k8_numpoly1) => v1_numpoly1(A) ) )).
fof(cc13_ordinal1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ v8_ordinal1(A) ) )).
fof(cc13_pcs_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v17_pcs_0(A) ) => ( v1_relat_1(A) & v5_waybel_3(A) & v1_pcs_0(A) & v9_pcs_0(A) & v11_pcs_0(A) ) ) )).
fof(cc13_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => ! [C] : ( m1_finseq_1(C,k4_finseq_2(B,A)) => v1_pre_poly(C) ) ) )).
fof(cc13_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_rewrite1(A) & v9_rewrite1(A) ) => ( v1_relat_1(A) & v7_rewrite1(A) ) ) )).
fof(cc13_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v7_ring_2(B,A) => v6_ring_2(B,A) ) ) ) )).
fof(cc13_robbins3,axiom,( ! [A] : ( l3_robbins3(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v10_robbins3(A) & v11_robbins3(A) ) ) ) )).
fof(cc13_roughs_4,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) ) => ( ~ v2_struct_0(A) & v2_roughs_1(A) & v4_tdlat_3(A) & v31_roughs_4(A) ) ) ) )).
fof(cc13_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) & v12_scmyciel(A) ) => ( v1_finset_1(A) & v4_scmyciel(A) ) ) )).
fof(cc13_simplex0,axiom,( ! [A] : ( ( ~ v5_simplex0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v3_pre_topc(B,A) ) ) ) )).
fof(cc13_struct_0,axiom,( ! [A] : ( l5_struct_0(A) => ( v11_struct_0(A) => v14_struct_0(A) ) ) )).
fof(cc13_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_tdlat_3(A) ) ) ) )).
fof(cc13_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v1_tex_2(B,A) ) => ( ~ v2_struct_0(B) & ~ v7_struct_0(B) ) ) ) ) )).
fof(cc13_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tex_3(B,A) => ~ v3_tex_3(B,A) ) ) ) )).
fof(cc13_topgen_4,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v7_pre_topc(A) ) => ( v2_pre_topc(A) & v7_topgen_4(A) ) ) ) )).
fof(cc13_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v4_trees_3(A) & v5_trees_3(A) & v6_trees_3(A) ) ) )).
fof(cc13_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v5_relat_1(B,k3_numbers) ) ) )).
fof(cc13_valued_2,axiom,( ! [A] : ( v5_valued_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v5_valued_2(B) ) ) )).
fof(cc13_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & v24_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) ) ) ) )).
fof(cc13_xxreal_2,axiom,( ! [A] : ( ( v6_membered(A) & v4_xxreal_2(A) ) => ( v6_membered(A) & v1_finset_1(A) & v4_xxreal_2(A) ) ) )).
fof(cc14_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v11_absred_0(A) => v8_absred_0(A) ) ) )).
fof(cc14_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v18_algstr_0(B,A) => ( v16_algstr_0(B,A) & v17_algstr_0(B,A) ) ) ) ) )).
fof(cc14_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(B)) => v1_partfun1(C,A) ) ) )).
fof(cc14_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_cayldick(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_cayldick(B,A) ) ) )).
fof(cc14_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k2_comput_1(k4_ordinal1)) => ( v7_comput_1(A) => v3_margrel1(A,k4_ordinal1) ) ) )).
fof(cc14_fomodel0,axiom,( ! [A] : ( v3_finseq_1(A) => v5_finset_1(A) ) )).
fof(cc14_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ v1_xboole_0(B) ) ) )).
fof(cc14_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k32_fomodel2(A,B)) => ~ v5_fomodel2(C,A) ) ) )).
fof(cc14_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel4(A)) => v12_fomodel4(B,A) ) ) )).
fof(cc14_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => ! [C] : ( m2_glib_000(C,A,k6_domain_1(k6_glib_000(A),B),k1_xboole_0) => ( v2_glib_000(C) & v4_glib_000(C) ) ) ) )).
fof(cc14_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_isomichi(B,A) => ( ~ v3_isomichi(B,A) & ~ v5_isomichi(B,A) ) ) ) ) )).
fof(cc14_membered,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_membered(B) ) ) )).
fof(cc14_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v4_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v8_mod_4(C,A,B) ) ) ) ) )).
fof(cc14_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v1_group_1(B) ) ) )).
fof(cc14_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_relat_1(C) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(A),C,D)) => ( v1_relat_1(E) & v1_funct_1(E) ) ) ) )).
fof(cc14_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_finseq_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v18_msafree5(D,A,B,C) => ~ v1_xboole_0(D) ) ) ) )).
fof(cc14_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_nat_6(A) ) => ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) & ~ v1_abian(A) ) ) )).
fof(cc14_numpoly1,axiom,( ! [A] : ( m1_subset_1(A,k9_numpoly1) => v1_pythtrip(A) ) )).
fof(cc14_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => ~ v10_ordinal1(A) ) )).
fof(cc14_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v21_pcs_0(B,A) ) ) ) )).
fof(cc14_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v10_rewrite1(A) ) => ( v1_relat_1(A) & v3_rewrite1(A) & v7_rewrite1(A) ) ) )).
fof(cc14_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_ring_2(B,A) => ( ~ v9_struct_0(B,A) & ~ v1_gcd_1(B,A) ) ) ) ) )).
fof(cc14_robbins3,axiom,( ! [A] : ( l3_robbins3(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins3(A) ) => ( ~ v2_struct_0(A) & v1_lattice3(A) & v2_lattice3(A) ) ) ) )).
fof(cc14_simplex0,axiom,( ! [A] : ! [B] : ( ( v3_pencil_1(B) & m1_simplex0(B,A) ) => ! [C] : ( m2_simplex0(C,A,B) => v3_pencil_1(C) ) ) )).
fof(cc14_struct_0,axiom,( ! [A] : ( l5_struct_0(A) => ( ( v2_struct_0(A) & v14_struct_0(A) ) => v11_struct_0(A) ) ) )).
fof(cc14_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tsep_1(B,A) ) => ( ~ v2_struct_0(B) & v4_tdlat_3(B) ) ) ) ) )).
fof(cc14_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tdlat_3(B) => v2_pre_topc(B) ) ) ) )).
fof(cc14_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v3_tex_3(B,A) => ~ v2_tex_3(B,A) ) ) ) )).
fof(cc14_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,u1_struct_0(A)) & v4_prob_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(B) & v1_prob_1(B,u1_struct_0(A)) & v4_prob_1(B,u1_struct_0(A)) & v3_topgen_4(B,u1_struct_0(A)) ) ) ) ) )).
fof(cc14_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_trees_3(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v4_trees_3(A) ) ) )).
fof(cc14_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v5_relat_1(B,k4_numbers) ) ) )).
fof(cc14_valued_2,axiom,( ! [A] : ( v6_valued_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v6_valued_2(B) ) ) )).
fof(cc14_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) ) ) ) )).
fof(cc14_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v5_xxreal_2(A) ) => ( v2_membered(A) & v3_membered(A) ) ) )).
fof(cc15_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( ( v4_absred_0(A) & v7_absred_0(A) ) => v11_absred_0(A) ) ) )).
fof(cc15_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( v19_algstr_0(A) & v20_algstr_0(A) ) => v21_algstr_0(A) ) ) )).
fof(cc15_card_3,axiom,( ! [A] : ( ~ v4_card_3(A) => ~ v1_xboole_0(A) ) )).
fof(cc15_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v7_comput_1(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v2_comput_1(A) ) ) )).
fof(cc15_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k3_fomodel0(k3_finseq_2(A),k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)))) => ( ~ v1_xboole_0(B) => ~ v3_relat_1(B) ) ) ) )).
fof(cc15_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ( ( ~ v6_struct_0(A) & v11_fomodel1(A) ) => ( ~ v6_struct_0(A) & ~ v8_struct_0(A) & v11_fomodel1(A) ) ) ) )).
fof(cc15_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k33_fomodel2(A,B)) => v5_fomodel2(C,A) ) ) )).
fof(cc15_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v7_ordinal1(C) ) => ! [E] : ( v5_fomodel4(E,C,A,B,D) => v1_fomodel4(E,A) ) ) )).
fof(cc15_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) ) => ! [C] : ( m2_glib_000(C,A,B,k1_xboole_0) => v7_glib_000(C) ) ) )).
fof(cc15_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_isomichi(B,A) => ( ~ v3_isomichi(B,A) & ~ v4_isomichi(B,A) ) ) ) ) )).
fof(cc15_membered,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v3_membered(B) ) ) )).
fof(cc15_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v9_mod_4(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ringcat1(B,A,A) ) ) ) ) )).
fof(cc15_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v3_group_1(B) ) ) )).
fof(cc15_msafree4,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_xboole_0(A) & v3_rewrite1(A) & v4_rewrite1(A) ) ) )).
fof(cc15_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(B)) ) => ! [E] : ( m1_finseq_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v19_msafree5(E,A,B,C,D) => ~ v1_xboole_0(E) ) ) ) )).
fof(cc15_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_int_2(A) ) ) )).
fof(cc15_ordinal1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v9_ordinal1(A) ) ) )).
fof(cc15_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_rewrite1(A) & v7_rewrite1(A) ) => ( v1_relat_1(A) & v10_rewrite1(A) ) ) )).
fof(cc15_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_ring_2(B,A) => v6_ring_2(B,A) ) ) ) )).
fof(cc15_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => ~ v2_struct_0(B) ) ) )).
fof(cc15_simplex0,axiom,( ! [A] : ! [B] : ( ( v2_simplex0(B) & m1_simplex0(B,A) ) => ! [C] : ( m2_simplex0(C,A,B) => v2_simplex0(C) ) ) )).
fof(cc15_struct_0,axiom,( ! [A] : ( l5_struct_0(A) => ( ( ~ v11_struct_0(A) & v14_struct_0(A) ) => ~ v2_struct_0(A) ) ) )).
fof(cc15_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v5_tdlat_3(B) ) ) ) ) )).
fof(cc15_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tdlat_3(B) => v2_pre_topc(B) ) ) ) )).
fof(cc15_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v4_tex_3(B,A) => v3_tex_3(B,A) ) ) ) )).
fof(cc15_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_topgen_4(B,A) => v8_topgen_4(B,A) ) ) ) )).
fof(cc15_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_3(A) ) => ! [B] : ( m1_finseq_1(B,A) => v4_trees_3(B) ) ) )).
fof(cc15_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_valued_0(B) ) ) )).
fof(cc15_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( m1_subset_1(B,A) => v1_valued_0(B) ) ) )).
fof(cc15_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v25_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_yellow_0(A) ) ) ) )).
fof(cc15_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v1_xboole_0(A) ) => ( v2_membered(A) & v6_xxreal_2(A) ) ) )).
fof(cc16_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( v21_algstr_0(A) => ( v19_algstr_0(A) & v20_algstr_0(A) ) ) ) )).
fof(cc16_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v8_comput_1(A,1) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) ) )).
fof(cc16_fomodel0,axiom,( ! [A] : ( v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k3_finseq_2(A)) => v1_xboole_0(B) ) ) )).
fof(cc16_fomodel1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) => ( v14_fomodel1(C,A,B) => v13_fomodel1(C,B) ) ) ) )).
fof(cc16_fomodel2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) => ( ~ v3_fomodel2(C,B,A) => ~ v3_fomodel2(C,B,A) ) ) ) )).
fof(cc16_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [D] : ( v4_fomodel4(D,A,B,C) => v2_fomodel4(D,A) ) ) )).
fof(cc16_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k1_zfmisc_1(k7_glib_000(A))) ) => ! [C] : ( m2_glib_000(C,A,k6_glib_000(A),B) => v9_glib_000(C,A) ) ) )).
fof(cc16_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_isomichi(B,A) => v3_isomichi(B,A) ) ) ) )).
fof(cc16_membered,axiom,( ! [A] : ( v4_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_membered(B) ) ) )).
fof(cc16_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ringcat1(B,A,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v9_mod_4(B,A) ) ) ) ) )).
fof(cc16_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v5_group_1(B) ) ) )).
fof(cc16_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_msualg_4(C,A,B,B) => ( v3_relat_1(C) => ( v12_msafree4(C,A,B) & v13_msafree4(C,A,B) ) ) ) ) )).
fof(cc16_ordinal1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v10_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,A) => ~ v8_ordinal1(B) ) ) )).
fof(cc16_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_ring_2(B,A) => v7_ring_2(B,A) ) ) ) )).
fof(cc16_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v7_lattices(B) ) ) )).
fof(cc16_simplex0,axiom,( ! [A] : ! [B] : ( ( v4_matroid0(B) & m1_simplex0(B,A) ) => ! [C] : ( m2_simplex0(C,A,B) => v4_matroid0(C) ) ) )).
fof(cc16_struct_0,axiom,( ! [A] : ( l5_struct_0(A) => ( v11_struct_0(A) => v15_struct_0(A) ) ) )).
fof(cc16_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_pre_topc(B) => ~ v1_tdlat_3(B) ) ) ) )).
fof(cc16_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v3_tex_3(B,A) => ~ v4_tex_3(B,A) ) ) ) )).
fof(cc16_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_topgen_4(B,A) => v8_topgen_4(B,A) ) ) ) )).
fof(cc16_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_trees_3(A) ) => ! [B] : ( m1_finseq_1(B,A) => v5_trees_3(B) ) ) )).
fof(cc16_valued_0,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v1_valued_0(C) ) ) )).
fof(cc16_valued_2,axiom,( ! [A] : ( v2_valued_2(A) => ! [B] : ( m1_subset_1(B,A) => v2_valued_0(B) ) ) )).
fof(cc16_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v1_xxreal_2(A) ) => ( v2_membered(A) & ~ v1_xboole_0(A) ) ) )).
fof(cc17_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v13_absred_0(A) => ( v4_absred_0(A) & v6_absred_0(A) & v7_absred_0(A) & v8_absred_0(A) & v11_absred_0(A) & v12_absred_0(A) ) ) ) )).
fof(cc17_algstr_0,axiom,( ! [A] : ( ( v19_algstr_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v16_algstr_0(B,A) ) ) )).
fof(cc17_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v8_comput_1(A,2) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) ) )).
fof(cc17_fomodel0,axiom,( ! [A] : ( v1_setfam_1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & ~ v1_xboole_0(B) ) => ( v1_relat_1(B) & ~ v3_relat_1(B) & v5_relat_1(B,A) ) ) ) )).
fof(cc17_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k1_funct_1(k28_fomodel1(A),B)) => ~ v1_xboole_0(C) ) ) )).
fof(cc17_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k15_fomodel2(A,B)) => v4_relat_1(C,k37_fomodel1(A)) ) ) )).
fof(cc17_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ( v13_fomodel4(B,1,A) => v13_fomodel4(B,k5_numbers,A) ) ) ) )).
fof(cc17_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m2_glib_000(B,A,k6_glib_000(A),k1_xboole_0) => v9_glib_000(B,A) ) ) )).
fof(cc17_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_isomichi(B,A) => v3_isomichi(B,A) ) ) ) )).
fof(cc17_membered,axiom,( ! [A] : ( v5_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v5_membered(B) ) ) )).
fof(cc17_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v10_mod_4(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_mod_4(B,A,A) ) ) ) ) )).
fof(cc17_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v13_monoid_0(B) ) ) )).
fof(cc17_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) => ( v3_relat_1(C) => ( v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v14_msafree4(C,A,B) ) ) ) ) )).
fof(cc17_numpoly1,axiom,( ! [A] : ( v8_ordinal1(A) => ( v1_pythtrip(A) & v1_numpoly1(A) ) ) )).
fof(cc17_ordinal1,axiom,( ! [A] : ( ~ v10_ordinal1(A) => v1_setfam_1(A) ) )).
fof(cc17_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v8_ring_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ~ v9_struct_0(B,A) & ~ v1_gcd_1(B,A) ) => v6_ring_2(B,A) ) ) ) )).
fof(cc17_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_lattices(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v5_lattices(B) ) ) )).
fof(cc17_simplex0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m3_simplex0(B,A,k9_simplex0(1)) => v1_xboole_0(B) ) ) )).
fof(cc17_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( ~ v7_struct_0(A) => ~ v2_struct_0(A) ) ) )).
fof(cc17_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_pre_topc(B) => ~ v2_tdlat_3(B) ) ) ) )).
fof(cc17_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v4_tex_3(B,A) => ~ v1_tex_3(B,A) ) ) ) )).
fof(cc17_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => ! [B] : ( m1_finseq_1(B,A) => v6_trees_3(B) ) ) )).
fof(cc17_valued_0,axiom,( ! [A] : ! [B] : ( v2_membered(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v2_valued_0(C) ) ) )).
fof(cc17_valued_2,axiom,( ! [A] : ( v3_valued_2(A) => ! [B] : ( m1_subset_1(B,A) => v3_valued_0(B) ) ) )).
fof(cc17_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v2_xxreal_2(A) ) => ( v2_membered(A) & ~ v1_xboole_0(A) ) ) )).
fof(cc18_algstr_0,axiom,( ! [A] : ( ( v20_algstr_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v17_algstr_0(B,A) ) ) )).
fof(cc18_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v8_comput_1(A,3) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) ) )).
fof(cc18_fomodel0,axiom,( ! [A] : ( v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_setfam_1(B) ) ) )).
fof(cc18_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k29_fomodel1(A)) => ~ v1_xboole_0(B) ) ) )).
fof(cc18_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k15_fomodel2(A,B)) => ( v4_relat_1(C,k37_fomodel1(A)) => ( v4_relat_1(C,k37_fomodel1(A)) & v1_partfun1(C,k37_fomodel1(A)) ) ) ) ) )).
fof(cc18_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ( v13_fomodel4(B,2,A) => v13_fomodel4(B,1,A) ) ) ) )).
fof(cc18_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [C] : ( m2_glib_000(C,A,k6_glib_000(A),k6_subset_1(k7_glib_000(A),k1_tarski(B))) => v9_glib_000(C,A) ) ) )).
fof(cc18_membered,axiom,( ! [A] : ( v6_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v6_membered(B) ) ) )).
fof(cc18_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_mod_4(B,A,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v10_mod_4(B,A) ) ) ) ) )).
fof(cc18_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v16_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v16_monoid_0(B) ) ) )).
fof(cc18_ordinal1,axiom,( ! [A] : ( v10_ordinal1(A) => ~ v1_setfam_1(A) ) )).
fof(cc18_ring_2,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) & v1_vectsp_2(A) ) => ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v8_ring_2(A) ) ) ) )).
fof(cc18_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v6_lattices(B) ) ) )).
fof(cc18_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tdlat_3(B) => v3_tdlat_3(B) ) ) ) )).
fof(cc18_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tex_3(B,A) => ~ v4_tex_3(B,A) ) ) ) )).
fof(cc18_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v6_trees_3(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) ) )).
fof(cc18_valued_0,axiom,( ! [A] : ! [B] : ( v3_membered(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v3_valued_0(C) ) ) )).
fof(cc18_valued_2,axiom,( ! [A] : ( v4_valued_2(A) => ! [B] : ( m1_subset_1(B,A) => v5_relat_1(B,k3_numbers) ) ) )).
fof(cc19_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v23_algstr_0(B,A) & v24_algstr_0(B,A) ) => v25_algstr_0(B,A) ) ) ) )).
fof(cc19_fomodel0,axiom,( ! [A] : ( ( v1_int_1(A) & v2_xxreal_0(A) ) => ( v7_ordinal1(A) & v1_int_1(A) ) ) )).
fof(cc19_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v14_fomodel1(B,k5_numbers,A) => v3_card_1(B,1) ) ) ) )).
fof(cc19_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( m1_subset_1(D,k1_fomodel1(B)) => ( v7_fomodel2(D,C,B) => v7_fomodel2(D,A,B) ) ) ) )).
fof(cc19_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ( v13_fomodel4(B,k5_numbers,A) => ( ~ v1_xboole_0(B) & v13_fomodel4(B,k5_numbers,A) ) ) ) ) )).
fof(cc19_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [C] : ( m2_glib_000(C,A,k6_glib_000(A),k6_subset_1(k7_glib_000(A),B)) => v9_glib_000(C,A) ) ) )).
fof(cc19_membered,axiom,( ! [A] : ( v1_xboole_0(A) => v7_membered(A) ) )).
fof(cc19_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v17_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => v17_monoid_0(B) ) ) )).
fof(cc19_ordinal1,axiom,( ! [A] : ( v1_setfam_1(A) => ~ v10_ordinal1(A) ) )).
fof(cc19_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v4_lattices(B) ) ) )).
fof(cc19_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v3_tdlat_3(B) => ~ v1_tdlat_3(B) ) ) ) )).
fof(cc19_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_borsuk_1(B,A) & v3_tex_3(B,A) ) => v4_tex_3(B,A) ) ) ) )).
fof(cc19_valued_0,axiom,( ! [A] : ! [B] : ( v4_membered(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v5_relat_1(C,k3_numbers) ) ) )).
fof(cc19_valued_2,axiom,( ! [A] : ( v5_valued_2(A) => ! [B] : ( m1_subset_1(B,A) => v5_relat_1(B,k4_numbers) ) ) )).
fof(cc1_abcmiz_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_lattice3(A) ) ) ) )).
fof(cc1_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ~ v1_xtuple_0(C) ) ) )).
fof(cc1_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => ( v1_abcmiz_1(B) => ( v1_abcmiz_1(B) & v1_abcmiz_a(B) ) ) ) ) )).
fof(cc1_abian,axiom,( ! [A] : ( v2_setfam_1(A) => v1_zfmisc_1(A) ) )).
fof(cc1_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_absred_0(B,A) => v3_absred_0(B,A) ) ) ) )).
fof(cc1_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) ) )).
fof(cc1_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => ( v1_relat_1(A) & v4_partfun3(A) ) ) )).
fof(cc1_afvect0,axiom,( ! [A] : ( l1_analoaf(A) => ( ( ~ v2_struct_0(A) & v2_tdgroup(A) ) => ( ~ v2_struct_0(A) & v1_afvect0(A) ) ) ) )).
fof(cc1_algspec1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m2_algspec1(B,A) => ~ v2_struct_0(B) ) ) )).
fof(cc1_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v2_algstr_0(B,A) & v3_algstr_0(B,A) ) => v4_algstr_0(B,A) ) ) ) )).
fof(cc1_algstr_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v4_algstr_1(A) ) => ( ~ v2_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v2_algstr_1(A) & v3_algstr_1(A) ) ) ) )).
fof(cc1_ali2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) ) ) ) ) )).
fof(cc1_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v8_altcat_1(A) & v9_altcat_1(A) ) => ( ~ v2_struct_0(A) & v10_altcat_1(A) ) ) ) )).
fof(cc1_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v12_altcat_1(A) ) => ( ~ v2_struct_0(A) & v1_altcat_2(A) ) ) ) )).
fof(cc1_altcat_5,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k1_xboole_0) ) ) )).
fof(cc1_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_altcat_5(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ! [E] : ( m1_altcat_6(E,A,B,C,D) => v1_funcop_1(E) ) ) )).
fof(cc1_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( l1_extpro_1(B,A) => ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) ) => ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v1_ami_wstd(B,A) ) ) ) ) )).
fof(cc1_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k4_amistd_1(A))) => v4_compos_0(B,u1_compos_1(k4_amistd_1(A))) ) ) )).
fof(cc1_amistd_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => v1_amistd_2(C,A,B) ) ) )).
fof(cc1_amistd_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v1_amistd_5(C,A,B) => v3_amistd_2(C,A,B) ) ) ) )).
fof(cc1_analmetr,axiom,( ! [A] : ( l2_analmetr(A) => ( ( ~ v2_struct_0(A) & v4_analmetr(A) ) => ( ~ v2_struct_0(A) & v3_analmetr(A) ) ) ) )).
fof(cc1_anproj_2,axiom,( ! [A] : ( l1_rlvect_1(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) ) => ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) ) ) ) )).
fof(cc1_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_freealg(A,B))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc1_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l1_aofa_a00(C,A) => ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) ) => ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) ) ) ) ) )).
fof(cc1_aofa_l00,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m2_algspec1(B,A) => v2_aofa_l00(B,A) ) ) )).
fof(cc1_armstrng,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => v1_finset_1(B) ) ) )).
fof(cc1_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_arrow(A)) => v1_relat_1(B) ) ) )).
fof(cc1_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ( v3_ordinal1(A) => ( v3_ordinal1(A) & v7_ordinal1(A) ) ) ) )).
fof(cc1_asympt_0,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v3_asympt_0(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) ) ) ) )).
fof(cc1_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v20_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v13_bcialg_1(A) ) ) ) )).
fof(cc1_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) ) => ! [C] : ( m4_bcialg_2(C,A,B) => ( v1_partfun1(C,u1_struct_0(A)) & v3_relat_2(C) & v8_relat_2(C) ) ) ) )).
fof(cc1_bcialg_5,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v11_bcialg_3(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_3(A) ) ) ) )).
fof(cc1_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_2(B,A) ) ) ) ) )).
fof(cc1_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(B,A) ) ) ) ) )).
fof(cc1_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v8_ordinal1(A) ) => ( v7_ordinal1(A) & ~ v2_xxreal_0(A) ) ) )).
fof(cc1_binom,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v2_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v5_algstr_0(A) ) ) ) )).
fof(cc1_binop_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0))) => ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) ) => ( v1_funct_1(A) & v1_xboole_0(A) & v1_funct_2(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) & v1_binop_1(A,k1_xboole_0) & v2_binop_1(A,k1_xboole_0) ) ) ) )).
fof(cc1_binop_2,axiom,( ! [A] : ( m1_subset_1(A,k3_numbers) => v1_rat_1(A) ) )).
fof(cc1_bintree1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) ) => ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_2(A) ) ) )).
fof(cc1_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) ) ) )).
fof(cc1_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_borsuk_2(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_borsuk_2(D,A,B,C) => v5_pre_topc(D,k5_topmetr,A) ) ) )).
fof(cc1_borsuk_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_struct_0(A) & v2_pre_topc(A) ) => ( v2_pre_topc(A) & v1_compts_1(A) ) ) ) )).
fof(cc1_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => ( ~ v1_zfmisc_1(A) & v1_topreal2(A) ) ) ) )).
fof(cc1_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,k3_numbers) => v1_xreal_0(A) ) )).
fof(cc1_borsuk_6,axiom,( ! [A] : ( ( v3_topmetr(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_xreal_0(B) ) ) )).
fof(cc1_brouwer3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k15_euclid(B))))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k15_euclid(B))) ) => ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k15_euclid(B))) & v1_pre_poly(C) ) ) ) ) )).
fof(cc1_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_c0sp1(B,A) => ( v1_ideal_1(B,A) & v1_c0sp1(B,A) ) ) ) ) )).
fof(cc1_cantor_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) ) => ( v1_tops_2(B,A) & v1_cantor_1(B,A) & v2_cantor_1(B,A) ) ) ) ) )).
fof(cc1_card_1,axiom,( ! [A] : ( v1_card_1(A) => v3_ordinal1(A) ) )).
fof(cc1_card_2,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( v4_ordinal1(A) & v1_card_1(A) ) ) )).
fof(cc1_card_3,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) ) )).
fof(cc1_card_5,axiom,( ! [A] : ( ~ v1_finset_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc1_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ! [B] : ( m1_card_fil(B,A) => ( ( v1_card_fil(B,A) & v3_card_fil(B,A) ) => ~ v2_card_fil(B,A) ) ) ) )).
fof(cc1_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & ~ v1_finset_1(A) & v1_card_1(A) ) => ( v3_ordinal1(A) & v4_ordinal1(A) ) ) )).
fof(cc1_cat_1,axiom,( ! [A] : ( l1_cat_1(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & ~ v11_struct_0(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v3_cat_1(A) & v5_cat_1(A) ) ) ) )).
fof(cc1_cat_5,axiom,( ! [A] : ( l1_cat_1(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v1_cat_5(A) ) ) ) )).
fof(cc1_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v2_struct_0(A) => ( v4_cat_6(A) & v5_cat_6(A) & v6_cat_6(A) & v7_cat_6(A) & v8_cat_6(A) ) ) ) )).
fof(cc1_cat_7,axiom,( ! [A] : ( v3_ordinal1(A) => ~ v1_xtuple_0(A) ) )).
fof(cc1_catalan2,axiom,( ! [A] : ! [B] : ( m1_catalan2(B,A) => ! [C] : ( m1_subset_1(C,B) => ( v5_relat_1(C,A) & v5_ordinal1(C) & v1_finset_1(C) ) ) ) )).
fof(cc1_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v4_msualg_1(B,A) => ~ v1_catalg_1(B,A) ) ) ) )).
fof(cc1_cayldick,axiom,( ! [A] : ( l1_algstr_0(A) => ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v2_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v5_algstr_0(A) & v2_rlvect_1(A) ) ) ) )).
fof(cc1_cayley,axiom,( ! [A] : ( v4_matrix_1(A) => v4_funct_1(A) ) )).
fof(cc1_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) => ( ( v1_funct_1(A) & v9_ordinal1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_cfdiff_1(A,k5_numbers) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc1_cgames_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( m1_subset_1(B,k2_cgames_1(A)) => v2_cgames_1(B) ) ) )).
fof(cc1_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => v2_finset_1(B) ) ) )).
fof(cc1_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_chord(A) ) ) )).
fof(cc1_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & v3_circcmb3(B,A) ) => ( v4_msualg_1(B,A) & v4_msafree2(B,A) & v2_circcmb3(B,A) ) ) ) ) )).
fof(cc1_circcomb,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( ~ v2_struct_0(A) & v3_circcomb(A) ) => ( ~ v2_struct_0(A) & v5_circcomb(A) ) ) ) )).
fof(cc1_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C))) => ( v1_relat_1(D) & v1_funct_1(D) & v1_finset_1(D) ) ) ) )).
fof(cc1_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => ( v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) ) ) ) )).
fof(cc1_classes2,axiom,( ! [A] : ( v2_classes1(A) => v1_classes1(A) ) )).
fof(cc1_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_clopban1(A,B))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc1_clopban2,axiom,( ! [A] : ( l1_clopban2(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v6_vectsp_1(A) & v3_clopban1(A) & v2_cfuncdom(A) & v3_group_1(A) & v2_clopban2(A) & v3_clopban2(A) & v4_clopban2(A) ) ) ) )).
fof(cc1_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_clopban3(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v9_clvect_1(B,A) ) ) ) ) )).
fof(cc1_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( v4_closure1(C,A,B) => v2_closure1(C,A,B) ) ) ) )).
fof(cc1_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v2_closure2(C,A,B) => v1_closure2(C,A,B) ) ) ) )).
fof(cc1_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_coh_sp(A)) => ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) ) )).
fof(cc1_cohsp_1,axiom,( ! [A] : ( v1_cohsp_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc1_compact1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v2_compact1(B,A) ) ) ) )).
fof(cc1_compl_sp,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v2_compl_sp(B,A) ) ) ) )).
fof(cc1_compos_0,axiom,( ! [A] : ( v1_compos_0(A) => v1_relat_1(A) ) )).
fof(cc1_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v3_compos_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & ~ v2_compos_1(B,A) ) ) ) )).
fof(cc1_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v2_compts_1(B,A) ) ) ) )).
fof(cc1_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_rfunct_3(C,A,B) => ( ~ v1_xboole_0(C) => ( ~ v1_xboole_0(C) & v4_funct_1(C) ) ) ) )).
fof(cc1_comseq_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_2(A) ) ) ) )).
fof(cc1_comseq_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_series_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc1_conlat_1,axiom,( ! [A] : ( ( v2_struct_0(A) & v11_struct_0(A) & l5_struct_0(A) ) => ! [B] : ( l2_conlat_1(B,A) => v4_conlat_1(B,A) ) ) )).
fof(cc1_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_connsp_1(B,A) => v2_connsp_1(B,A) ) ) ) )).
fof(cc1_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v1_convex4(B,A) ) ) ) )).
fof(cc1_dblseq_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & v6_dblseq_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_seq_2(A) & v2_seq_2(A) ) ) ) )).
fof(cc1_descip_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_finseq_2(A,k5_margrel1)) => v1_margrel1(B) ) ) )).
fof(cc1_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_zfmisc_1(B) => v1_dilworth(B,A) ) ) ) )).
fof(cc1_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k6_dist_1(A)) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_trees_3(B,A) ) => ! [C] : ( m1_finseq_1(C,B) => v6_trees_3(C) ) ) )).
fof(cc1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_dualsp01(A))) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc1_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_dynkin(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_entropy1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => ( v1_matrprob(A) => ( ~ v1_xboole_0(A) & v4_partfun3(A) ) ) ) )).
fof(cc1_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_euclid(A)) => v3_card_1(B,A) ) ) )).
fof(cc1_euclid_7,axiom,( ! [A] : ( v1_xboole_0(A) => v1_euclid_7(A) ) )).
fof(cc1_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(A))) => v5_relat_1(B,k1_numbers) ) ) )).
fof(cc1_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) ) )).
fof(cc1_facirc_1,axiom,( ! [A] : ( v1_xtuple_0(A) => ~ v1_xboole_0(A) ) )).
fof(cc1_facirc_2,axiom,( ! [A] : ( l1_msualg_1(A) => ( v11_struct_0(A) => ( v1_circcomb(A) & v2_circcomb(A) & v3_circcomb(A) ) ) ) )).
fof(cc1_fcont_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v3_funct_1(A) ) => ( v1_funct_1(A) & v1_fcont_1(A) ) ) ) )).
fof(cc1_fcont_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_xboole_0(A) => v2_rcomp_1(A) ) ) )).
fof(cc1_fdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_fdiff_1(A,k5_numbers) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc1_fib_num2,axiom,( ! [A] : ( v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_setfam_1(B) ) ) )).
fof(cc1_filter_0,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & v3_filter_0(A) ) ) ) )).
fof(cc1_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_finseq_1(A) ) ) )).
fof(cc1_finseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k4_finseq_2(B,A)) => v3_card_1(C,B) ) ) )).
fof(cc1_finseq_4,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_eqrel_1(B,A) => v1_finset_1(B) ) ) )).
fof(cc1_finset_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_finset_1(A) ) )).
fof(cc1_finsub_1,axiom,( ! [A] : ( v4_finsub_1(A) => ( v1_finsub_1(A) & v3_finsub_1(A) ) ) )).
fof(cc1_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v4_fin_topo(B,A) ) ) ) )).
fof(cc1_fomodel0,axiom,( ! [A] : ( v1_xboole_0(A) => v2_setfam_1(A) ) )).
fof(cc1_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v9_fomodel1(B,A) => v10_fomodel1(B,A) ) ) ) )).
fof(cc1_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v8_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( m1_fomodel2(D,A,B,C) => v5_relat_1(D,B) ) ) )).
fof(cc1_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k8_eqrel_1(A,B)) => ~ v1_xboole_0(C) ) ) )).
fof(cc1_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_fomodel4(A))) => v2_fomodel4(B,A) ) ) )).
fof(cc1_frechet,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(C,A) & v1_yellow_8(C,A,B) ) => ( ~ v1_xboole_0(C) & v1_tops_2(C,A) & v1_yellow_8(C,A,B) ) ) ) ) )).
fof(cc1_funcop_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) ) ) )).
fof(cc1_funct_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_funct_1(A) ) )).
fof(cc1_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_partfun1(C,A) => v1_funct_2(C,A,B) ) ) )).
fof(cc1_funct_7,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) ) )).
fof(cc1_funct_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v2_funct_8(A) ) ) )).
fof(cc1_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ! [F] : ( m1_functor0(F,A,B,C,D,E) => v1_funcop_1(F) ) ) )).
fof(cc1_functor2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( v8_functor0(C,A,B) & v12_functor0(C,A,B) ) ) ) )).
fof(cc1_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) => ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v2_fuznum_1(B,A) ) => ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v1_fuznum_1(B,A) ) ) ) ) )).
fof(cc1_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) => ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) ) => ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v3_valued_0(B) ) ) ) ) )).
fof(cc1_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) => ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) ) => ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) ) ) ) ) )).
fof(cc1_fvaluat1,axiom,( ! [A] : ( v1_fvaluat1(A) => v1_xxreal_0(A) ) )).
fof(cc1_fvsum_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v4_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v1_algstr_1(A) ) ) ) )).
fof(cc1_gaussint,axiom,( ! [A] : ( v1_int_1(A) => ( v1_int_1(A) & v1_gaussint(A) ) ) )).
fof(cc1_gcd_1,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v6_vectsp_1(A) ) ) ) )).
fof(cc1_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v5_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_glib_000(A) ) ) )).
fof(cc1_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v5_glib_001(B,A) => v4_glib_001(B,A) ) ) ) )).
fof(cc1_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_002(A) ) ) )).
fof(cc1_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) ) )).
fof(cc1_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => ! [C] : ( m2_glib_000(C,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k21_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)))) => v1_glib_002(C) ) ) )).
fof(cc1_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) ) ) )).
fof(cc1_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v1_henmodel(B,A) => v1_goedcpuc(B,A) ) ) ) )).
fof(cc1_gr_cy_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) ) => ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) ) ) ) )).
fof(cc1_gr_cy_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_gr_cy_1(A))) => v7_ordinal1(B) ) ) )).
fof(cc1_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ( v1_xboole_0(B) => v7_graph_1(B,A) ) ) ) )).
fof(cc1_graph_2,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => v2_finseq_1(C) ) ) )).
fof(cc1_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_funct_1(C,B) ) => ( v1_relat_1(C) & v1_funct_1(C) & v5_funct_1(C,A) ) ) ) )).
fof(cc1_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_grnilp_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => v1_grnilp_1(B) ) ) )).
fof(cc1_group_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( v2_group_1(A) => v1_group_1(A) ) ) )).
fof(cc1_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => v3_group_1(B) ) ) )).
fof(cc1_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_group_1(C,A,B) & v1_group_6(C,A,B) ) ) ) ) )).
fof(cc1_group_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_group_7(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A) ) ) )).
fof(cc1_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v2_group_10(B,A) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => v1_groupp_1(C,A,B) ) ) )).
fof(cc1_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_hahnban(B,A) ) ) ) ) )).
fof(cc1_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v2_hahnban1(C,A,B) ) ) ) ) )).
fof(cc1_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) => ( ( ~ v1_xboole_0(B) & v1_hallmar1(B,A) ) => ( v2_relat_1(B) & ~ v1_xboole_0(B) ) ) ) ) )).
fof(cc1_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v1_hermitan(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v2_hahnban1(B,k1_complfld,A) ) ) ) ) )).
fof(cc1_hilbert1,axiom,( ! [A] : ( v5_hilbert1(A) => ( ~ v1_xboole_0(A) & v1_hilbert1(A) & v2_hilbert1(A) & v3_hilbert1(A) & v4_hilbert1(A) ) ) )).
fof(cc1_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k1_hilbert1) & m1_subset_1(C,k1_hilbert1) & m1_subset_1(D,k1_hilbert1) ) => ! [E] : ( m1_subset_1(E,k3_hilbert3(A,k3_hilbert1(B,k3_hilbert1(C,D)))) => v1_funcop_1(E) ) ) )).
fof(cc1_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_partit_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) ) )).
fof(cc1_hurwitz2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & v6_hurwitz2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v3_valued_0(A) & v1_polynom1(A,k1_complfld) ) ) ) )).
fof(cc1_idea_1,axiom,( ! [A] : ( m1_subset_1(A,k14_idea_1) => v1_finseq_1(A) ) )).
fof(cc1_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v2_ideal_1(B,A) ) => ( ~ v1_xboole_0(B) & v3_ideal_1(B,A) ) ) ) ) )).
fof(cc1_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v15_incsp_1(A) => ( v5_incsp_1(A) & v6_incsp_1(A) & v7_incsp_1(A) & v8_incsp_1(A) & v9_incsp_1(A) & v10_incsp_1(A) & v11_incsp_1(A) & v12_incsp_1(A) & v13_incsp_1(A) & v14_incsp_1(A) ) ) ) )).
fof(cc1_index_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) ) ) )).
fof(cc1_instalg1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k3_msualg_1(A,C,k11_msafree(A,B))) => v6_trees_3(D) ) ) )).
fof(cc1_int_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => v1_int_1(A) ) )).
fof(cc1_int_2,axiom,( ! [A] : ( ( v1_int_1(A) & v1_int_2(A) ) => ( v7_ordinal1(A) & v1_int_1(A) ) ) )).
fof(cc1_int_3,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & v1_vectsp_2(A) & v1_int_3(A) ) => ( ~ v6_struct_0(A) & v13_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) ) ) ) )).
fof(cc1_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ( v1_relat_1(A) & v2_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) ) )).
fof(cc1_integra1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v2_measure5(A) => v1_rcomp_1(A) ) ) )).
fof(cc1_intpro_1,axiom,( ! [A] : ( v7_intpro_1(A) => ( ~ v1_xboole_0(A) & v1_intpro_1(A) & v2_intpro_1(A) & v3_intpro_1(A) & v4_intpro_1(A) & v5_intpro_1(A) & v6_intpro_1(A) ) ) )).
fof(cc1_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) => v1_isomichi(B,A) ) ) ) )).
fof(cc1_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & v2_sppol_1(A) ) => v1_jordan21(A) ) ) )).
fof(cc1_jordan1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v1_convex1(B,k15_euclid(A)) => v2_connsp_1(B,k15_euclid(A)) ) ) ) )).
fof(cc1_jordan12,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v3_topreal1(A) => v1_goboard5(A) ) ) )).
fof(cc1_jordan1h,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) => ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) ) => ( v2_relat_1(A) & ~ v3_relat_1(A) & ~ v1_xboole_0(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) ) ) ) )).
fof(cc1_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_jordan21(A) => ~ v1_xboole_0(A) ) ) )).
fof(cc1_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_jordan23(A) ) ) )).
fof(cc1_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))) & v1_jordan24(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))) & v5_pre_topc(B,k3_pcomps_1(A),k3_pcomps_1(A)) ) ) ) ) )).
fof(cc1_jordan2b,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => v5_relat_1(B,k1_numbers) ) ) )).
fof(cc1_jordan2c,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v2_compts_1(B,k15_euclid(A)) => v9_rltopsp1(B,k15_euclid(A)) ) ) ) )).
fof(cc1_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_finset_1(A) => v1_rcomp_1(A) ) ) )).
fof(cc1_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => ~ v1_zfmisc_1(B) ) ) )).
fof(cc1_knaster,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v15_lattices(A) ) ) ) )).
fof(cc1_kurato_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) ) => ( ~ v1_xboole_0(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) ) ) ) )).
fof(cc1_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => ( ~ v2_struct_0(A) & v11_lattices(A) ) ) ) )).
fof(cc1_lattice2,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice2(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & v3_filter_0(A) ) ) ) )).
fof(cc1_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_lattice3(A) => ~ v2_struct_0(A) ) ) )).
fof(cc1_lattice6,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) ) ) ) )).
fof(cc1_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & v2_latticea(B,A) ) => ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(A)) & v19_lattices(B,A) & v20_lattices(B,A) ) ) ) ) )).
fof(cc1_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) ) ) ) )).
fof(cc1_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v13_glib_000(A) & v2_lexbfs(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v3_lexbfs(A) ) ) )).
fof(cc1_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_lfuzzy_0(A) => ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) ) ) ) )).
fof(cc1_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) => ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) ) => ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v3_valued_0(B) ) ) ) ) )).
fof(cc1_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc1_lopban_2,axiom,( ! [A] : ( l1_lopban_2(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_funcsdom(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_funcsdom(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v6_vectsp_1(A) & v3_lopban_1(A) & v3_group_1(A) & v2_lopban_2(A) & v3_lopban_2(A) & v4_lopban_2(A) ) ) ) )).
fof(cc1_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_lopban_3(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v3_normsp_1(B,A) ) ) ) ) )).
fof(cc1_lpspacc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_membered(B) ) => ! [C] : ( m1_subset_1(C,k3_rfunct_3(A,B)) => v1_valued_0(C) ) ) )).
fof(cc1_lpspace2,axiom,( ! [A] : ( ( v1_xreal_0(A) & v1_lpspace2(A) ) => ( v2_xxreal_0(A) & v1_xreal_0(A) ) ) )).
fof(cc1_ltlaxio4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => ! [B] : ( m1_subset_1(B,k4_ltlaxio4(A)) => v3_ltlaxio3(B) ) ) )).
fof(cc1_margrel1,axiom,( ! [A] : ( v1_xboole_0(A) => v2_card_3(A) ) )).
fof(cc1_matrix13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_prvect_1(A,B))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc1_matrix_0,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k3_finseq_2(A)) => ( v1_matrix_0(B) => ( v1_funcop_1(B) & v1_matrix_0(B) ) ) ) )).
fof(cc1_matrix_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) => ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v1_matrix_1(C,B) ) => ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v1_matrix_1(C,B) & v2_matrix_1(C,A,B) & v3_matrix_1(C,A,B) ) ) ) ) )).
fof(cc1_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) => ( v2_matrixj1(B,A) => v1_matrixj1(B,A) ) ) ) )).
fof(cc1_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) => ( v1_matrixj2(B,A) => v2_matrixj1(B,u1_struct_0(A)) ) ) ) )).
fof(cc1_matrlin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_finseq_1(B,k3_finseq_2(A)) => ( v1_matrix_0(B) => ( v1_matrix_0(B) & v1_pre_poly(B) ) ) ) ) )).
fof(cc1_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v3_pre_topc(B,A) ) ) ) )).
fof(cc1_matrprob,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) => ( ( v1_matrix_0(A) & v4_matrprob(A) ) => ( v1_matrix_0(A) & v2_matrprob(A) & v3_matrprob(A) ) ) ) )).
fof(cc1_matrtop3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_matrtop3(C,B) ) => ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_matrtop3(C,A) ) ) ) )).
fof(cc1_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_mazurulm(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_mazurulm(C,A,B) ) ) ) ) )).
fof(cc1_mcart_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => v1_xtuple_0(C) ) ) )).
fof(cc1_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( v1_finsub_1(B) & v1_prob_1(B,A) ) => v2_finsub_1(B) ) ) )).
fof(cc1_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_measure5(A) => v6_xxreal_2(A) ) ) )).
fof(cc1_measure6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( v6_ordinal1(B) & ~ v1_xboole_0(B) & v1_setfam_1(B) ) => v3_finset_1(B) ) ) )).
fof(cc1_membered,axiom,( ! [A] : ( v6_membered(A) => v5_membered(A) ) )).
fof(cc1_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc1_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) => ( ( v1_funct_1(B) & v6_supinf_2(B) ) => ( v1_funct_1(B) & v3_mesfunc5(B) ) ) ) ) )).
fof(cc1_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) ) => ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & v11_metric_1(A) ) ) ) )).
fof(cc1_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_metric_2(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_struct_0(A) & v2_pre_topc(A) ) => ( v2_pre_topc(A) & v3_pcomps_1(A) ) ) ) )).
fof(cc1_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_pre_topc(B) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) ) => ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_mfold_0(B) ) ) ) ) )).
fof(cc1_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v1_mfold_1(B,A) => v3_pre_topc(B,k15_euclid(A)) ) ) ) )).
fof(cc1_midsp_2,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_midsp_2(A) ) => ( ~ v2_struct_0(A) & v12_vectsp_1(A) ) ) ) )).
fof(cc1_mmlquer2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( v6_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) ) => v1_mmlquer2(B,A) ) ) )).
fof(cc1_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_mod_4(C,A,B) ) ) ) ) )).
fof(cc1_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => v1_finset_1(A) ) )).
fof(cc1_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k4_modcat_1(B,k3_modcat_1(A,B))) => v2_mod_2(C,B) ) ) )).
fof(cc1_moebius1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_int_2(A) => ~ v1_moebius1(A) ) ) )).
fof(cc1_moebius2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_partfun3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( m1_valued_0(B,A) => v4_partfun3(B) ) ) )).
fof(cc1_monoid_0,axiom,( ! [A] : ( ( v1_monoid_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc1_monoid_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k13_monoid_1(A))) => v5_relat_1(B,k4_ordinal1) ) )).
fof(cc1_msafree1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_prob_2(B) ) ) )).
fof(cc1_msafree2,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( ~ v2_struct_0(A) & v11_struct_0(A) ) => ( ~ v2_struct_0(A) & v2_msafree2(A) ) ) ) )).
fof(cc1_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc1_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_msaterm(A,B)) & v1_funct_1(C) ) => ( v1_relat_1(C) & v5_relat_1(C,k1_msaterm(A,B)) & v1_funct_1(C) & v2_finset_1(C) ) ) ) )).
fof(cc1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => v1_finset_1(D) ) ) )).
fof(cc1_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_msaterm(A,B)) => v1_finset_1(C) ) ) )).
fof(cc1_msscyc_1,axiom,( ! [A] : ( l1_graph_1(A) => ( ( ~ v2_struct_0(A) & v11_struct_0(A) ) => ( ~ v2_struct_0(A) & v2_msscyc_1(A) ) ) ) )).
fof(cc1_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) ) )).
fof(cc1_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k10_xtuple_0(u3_msualg_1(A,B))) => ~ v1_xboole_0(C) ) ) )).
fof(cc1_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_msualg_4(D,A,B,C) => v2_funcop_1(D) ) ) )).
fof(cc1_msualg_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v2_msualg_4(C,A,B) => v1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B)) ) ) ) )).
fof(cc1_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v4_msualg_1(B,A) => v1_msualg_6(B,A) ) ) ) )).
fof(cc1_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v1_msualg_7(B,A) => v4_lattice3(B) ) ) ) )).
fof(cc1_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k3_msualg_1(A,C,B)) => v1_finseq_1(D) ) ) )).
fof(cc1_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ( v8_struct_0(A) => v1_mycielsk(A) ) ) )).
fof(cc1_nagata_1,axiom,( ! [A] : ( ~ v4_card_3(A) => ~ v1_xboole_0(A) ) )).
fof(cc1_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v3_ordinal1(A) & v7_ordinal1(A) ) ) )).
fof(cc1_nat_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_int_2(A) ) ) )).
fof(cc1_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) ) )).
fof(cc1_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,A) => v1_xreal_0(B) ) ) )).
fof(cc1_nattra_1,axiom,( ! [A] : ( l1_cat_1(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v2_nattra_1(A) & v3_nattra_1(A) ) ) ) )).
fof(cc1_nbvectsp,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_bspace)) => v1_xboolean(A) ) )).
fof(cc1_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_prvect_2(A))) => v3_card_1(B,k3_finseq_1(A)) ) ) )).
fof(cc1_ndiff_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v1_mazurulm(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) ) ) ) ) )).
fof(cc1_neckla_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_classes1(A)) => v1_finset_1(B) ) ) )).
fof(cc1_neckla_3,axiom,( ! [A] : ! [B] : ( ( v1_zfmisc_1(A) & v1_zfmisc_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v1_zfmisc_1(C) ) ) )).
fof(cc1_necklace,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_zfmisc_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) ) )).
fof(cc1_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) ) => ( v1_funct_1(B) & v1_nfcont_3(B,A) ) ) ) ) )).
fof(cc1_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) ) => ( v1_funct_1(B) & v1_nfcont_4(B,A) ) ) ) ) )).
fof(cc1_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v3_normsp_3(C,A,B) ) => ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) ) ) ) ) )).
fof(cc1_numpoly1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ( v7_ordinal1(A) & v1_ec_pf_2(A,2) ) ) )).
fof(cc1_openlatt,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & v1_lattice2(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & v3_filter_0(A) ) ) ) )).
fof(cc1_oposet_1,axiom,( ! [A] : ( l2_qmax_1(A) => ( ( ~ v2_struct_0(A) & v4_oposet_1(A) ) => ( ~ v2_struct_0(A) & v3_oposet_1(A) ) ) ) )).
fof(cc1_ordeq_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_nfcont_2(B,A) ) ) ) ) )).
fof(cc1_orders_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_wellord1(A) & v1_orders_1(A) & v2_orders_1(A) & v3_orders_1(A) ) ) )).
fof(cc1_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_orders_2(A) => v2_orders_2(A) ) ) )).
fof(cc1_orders_3,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => v1_orders_3(A) ) ) )).
fof(cc1_orders_4,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) ) )).
fof(cc1_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_ordinal1(A) & v2_ordinal1(A) ) ) )).
fof(cc1_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) ) => ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) ) ) )).
fof(cc1_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) ) => ( v5_ordinal1(B) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & v1_ordinal2(B) ) ) ) ) )).
fof(cc1_ordinal5,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_xboole_0(A) & v1_ordinal2(A) ) ) )).
fof(cc1_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => v1_ordinal6(A) ) )).
fof(cc1_osalg_1,axiom,( ! [A] : ( l3_osalg_1(A) => ( v4_osalg_1(A) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) ) )).
fof(cc1_osalg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_2(C,A,B) => ( v12_osalg_1(C,A) => ( v12_osalg_1(C,A) & v13_osalg_1(C,A) ) ) ) ) )).
fof(cc1_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msualg_4(D,u1_struct_0(A),B,C) => ( v1_osalg_4(D,A,B,C) => v11_osalg_1(D,A) ) ) ) )).
fof(cc1_partfun1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v1_partfun1(C,A) ) ) )).
fof(cc1_partfun3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_partfun3(A) ) => ( v1_relat_1(A) & v2_relat_1(A) & v4_partfun3(A) ) ) )).
fof(cc1_partit_2,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_relat_2(A) & v5_relat_2(A) & v8_relat_2(A) ) ) )).
fof(cc1_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) ) ) )).
fof(cc1_pcs_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => v2_orders_2(A) ) ) )).
fof(cc1_pdiff_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v2_fdiff_1(A) ) => ( v1_funct_1(A) & v1_partfun1(A,k1_numbers) & v2_fdiff_1(A) ) ) ) )).
fof(cc1_pdiff_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(A),k1_euclid(B)) & v1_pdiff_6(C,B,A) & v2_pdiff_6(C,B,A) ) => ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(A),k1_euclid(B)) & v1_pdiff_6(C,B,A) & v2_pdiff_6(C,B,A) & v3_pdiff_6(C,A,B) ) ) ) ) )).
fof(cc1_pencil_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v11_pencil_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A) ) ) )).
fof(cc1_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_finseq_1(B,k2_net_1(A)) => ( v2_petri_df(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc1_polynom1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v6_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v7_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) ) ) )).
fof(cc1_polynom4,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v33_algstr_0(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_algstr_1(A) ) => ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v1_algstr_1(A) ) ) ) )).
fof(cc1_polynom8,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_vectsp_2(A) ) ) ) )).
fof(cc1_poset_1,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_poset_1(A) => v1_yellow_0(A) ) ) )).
fof(cc1_poset_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v1_orders_3(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) ) ) ) )).
fof(cc1_pralg_2,axiom,( ! [A] : ( ( v4_funct_1(A) & ~ v1_xboole_0(A) & v2_card_3(A) ) => ! [B] : ( m1_subset_1(B,A) => v4_relat_1(B,k9_card_3(A)) ) ) )).
fof(cc1_pre_circ,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k5_trees_3(A)) => v1_finset_1(B) ) ) )).
fof(cc1_pre_poly,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_finseq_2(A)) => v1_finseq_1(B) ) )).
fof(cc1_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v2_pre_topc(B) ) ) )).
fof(cc1_prefer_1,axiom,( ! [A] : ( v3_card_1(A,2) => ~ v1_xboole_0(A) ) )).
fof(cc1_prob_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) => ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) ) ) )).
fof(cc1_projdes1,axiom,( ! [A] : ( l1_collsp(A) => ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) ) => ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & v5_anproj_2(A) & ~ v7_anproj_2(A) ) ) ) )).
fof(cc1_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_prvect_1(B,A) => v1_finseq_1(B) ) ) )).
fof(cc1_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [C] : ( m1_prvect_2(C,A,B) => v1_finseq_1(C) ) ) )).
fof(cc1_pscomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_pscomp_1(A) ) ) ) )).
fof(cc1_pua2mss1,axiom,( ! [A] : ( v1_setfam_1(A) => ! [B] : ( m1_finseq_1(B,A) => v2_relat_1(B) ) ) )).
fof(cc1_pythtrip,axiom,( ! [A] : ( v1_pythtrip(A) => v7_ordinal1(A) ) )).
fof(cc1_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v1_relat_1(A) & ~ v1_xboole_0(A) ) ) )).
fof(cc1_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v1_henmodel(B,A) => v2_qc_trans(B,A,A) ) ) ) )).
fof(cc1_quantal1,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v6_quantal1(A) ) => ( ~ v2_struct_0(A) & v4_quantal1(A) & v5_quantal1(A) ) ) ) )).
fof(cc1_quatern2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k14_quatern2)) => v1_quaterni(A) ) )).
fof(cc1_quaterni,axiom,( ! [A] : ( m1_subset_1(A,k1_quaterni) => v1_quaterni(A) ) )).
fof(cc1_quofield,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) ) ) ) )).
fof(cc1_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => v1_xreal_0(A) ) )).
fof(cc1_ratfunc1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v30_algstr_0(A) & v1_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) ) ) )).
fof(cc1_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_rcomp_1(A) => v2_rcomp_1(A) ) ) )).
fof(cc1_rcomp_3,axiom,( ! [A] : ( m1_topmetr(A,k7_metric_1) => v3_topmetr(A) ) )).
fof(cc1_real_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => v1_xreal_0(A) ) )).
fof(cc1_realset2,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) ) => ( ~ v6_struct_0(A) & v1_realset2(A) ) ) ) )).
fof(cc1_relat_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_relat_1(A) ) )).
fof(cc1_relat_2,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v1_relat_2(A) & v2_relat_2(A) & v3_relat_2(A) & v4_relat_2(A) & v5_relat_2(A) & v6_relat_2(A) & v7_relat_2(A) & v8_relat_2(A) ) ) )).
fof(cc1_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v1_relat_1(C) ) )).
fof(cc1_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( m1_rewrite1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_rewrite2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_rewrite2(A) ) ) )).
fof(cc1_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_comseq_2(A) ) ) )).
fof(cc1_rfunct_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v7_valued_0(A) ) => ( v1_funct_1(A) & v1_rfunct_2(A) ) ) ) )).
fof(cc1_rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_membered(B) ) => ! [C] : ( m1_subset_1(C,k3_rfunct_3(A,B)) => v3_valued_0(C) ) ) )).
fof(cc1_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_ring_1(B,A) => ( v1_subset_1(B,u1_struct_0(A)) & v1_ring_1(B,A) ) ) ) ) )).
fof(cc1_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( l6_algstr_0(C) => ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v3_ring_2(C,B) ) => ( ~ v2_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v3_ring_2(C,A) & v3_ring_2(C,B) ) ) ) ) )).
fof(cc1_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_ringcat1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & v13_vectsp_1(C,A,B) ) ) ) ) )).
fof(cc1_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v1_rlaffin1(B,A) ) ) ) )).
fof(cc1_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_rlvect_5(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlaffin1(B,A) => ( v1_finset_1(B) & v1_rlaffin1(B,A) ) ) ) ) )).
fof(cc1_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v3_rltopsp1(B,A) ) ) ) )).
fof(cc1_rlvect_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v9_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v4_rlvect_1(A) ) ) ) )).
fof(cc1_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_rlvect_5(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => v1_rlvect_5(B) ) ) )).
fof(cc1_robbins1,axiom,( ! [A] : ( l2_robbins1(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & v7_robbins1(A) ) => ( ~ v2_struct_0(A) & v14_lattices(A) ) ) ) )).
fof(cc1_robbins2,axiom,( ! [A] : ( l2_robbins1(A) => ( ( ~ v2_struct_0(A) & v1_robbins2(A) ) => ( ~ v2_struct_0(A) & v4_lattices(A) ) ) ) )).
fof(cc1_robbins3,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v1_robbins3(A) & v2_robbins3(A) & v3_robbins3(A) ) ) ) )).
fof(cc1_robbins4,axiom,( ! [A] : ( l4_robbins1(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v3_robbins3(A) ) ) ) )).
fof(cc1_roughs_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_orders_2(A) => v2_roughs_2(A) ) ) )).
fof(cc1_rpr_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v3_card_1(B,1) => ( v1_finset_1(B) & v3_card_1(B,1) ) ) ) ) )).
fof(cc1_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => v1_rusub_4(B) ) ) )).
fof(cc1_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => v1_valued_0(A) ) )).
fof(cc1_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scm_halt(A) ) ) )).
fof(cc1_scmfsa6a,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) => v6_compos_0(A,u1_compos_1(k1_scmfsa_2)) ) ) )).
fof(cc1_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) ) )).
fof(cc1_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scmfsa6b(A) ) ) )).
fof(cc1_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scmpds_4(A) ) ) )).
fof(cc1_scmyciel,axiom,( ! [A] : ( v1_scmyciel(A) => v1_finset_1(A) ) )).
fof(cc1_seq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_comseq_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_seq_2(A) & v2_seq_2(A) ) ) )).
fof(cc1_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v7_valued_0(A) & v1_seq_2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc1_seqm_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v3_funct_1(A) ) => ( v1_funct_1(A) & v7_valued_0(A) & v8_valued_0(A) ) ) ) )).
fof(cc1_series_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_series_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_series_1(A) ) ) ) )).
fof(cc1_setfam_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) ) => ! [B] : ( m1_subset_1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_sheffer1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) ) => ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) ) ) ) )).
fof(cc1_sheffer2,axiom,( ! [A] : ( l1_sheffer1(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => ( ~ v2_struct_0(A) & v1_sheffer2(A) ) ) ) )).
fof(cc1_simplex0,axiom,( ! [A] : ( v1_xboole_0(A) => v1_classes1(A) ) )).
fof(cc1_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v4_simplex0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ! [C] : ( m1_simplex1(C,A,B) => ~ v4_simplex0(C) ) ) )).
fof(cc1_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_finset_1(B) => v6_tbsp_1(B,A) ) ) ) )).
fof(cc1_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( ~ v1_zfmisc_1(A) & v1_sppol_1(A) ) => ~ v2_sppol_1(A) ) ) )).
fof(cc1_sppol_2,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v4_topreal1(A) => ( ~ v1_zfmisc_1(A) & v2_funct_1(A) & v1_topreal1(A) & v2_topreal1(A) & v3_topreal1(A) ) ) ) )).
fof(cc1_sprect_1,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v1_sprect_1(A) => ~ v3_funct_1(A) ) ) )).
fof(cc1_sprect_3,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v1_sprect_1(A) ) => ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v1_sprect_1(A) & v1_sprect_2(A) ) ) ) )).
fof(cc1_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v2_finsub_1(B) => v1_srings_1(B,A) ) ) )).
fof(cc1_srings_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_srings_1(B,A) & v3_srings_1(B,A) & v4_srings_1(B,A) & ~ v1_setfam_1(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) ) ) )).
fof(cc1_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(k8_stacks_1(A))) => v1_finseq_1(B) ) ) )).
fof(cc1_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k5_card_1(A)) => v7_ordinal1(B) ) ) )).
fof(cc1_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v2_struct_0(A) => v7_struct_0(A) ) ) )).
fof(cc1_subset_1,axiom,( ! [A] : ( v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_xboole_0(B) ) ) )).
fof(cc1_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_substlat(A,B)) => v1_finset_1(C) ) )).
fof(cc1_supinf_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_numbers)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & v3_supinf_2(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,A,B) & v1_supinf_2(C,A,B) & v2_supinf_2(C,A,B) ) ) ) ) )).
fof(cc1_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_tbsp_1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v3_tbsp_1(B,A) ) ) ) ) )).
fof(cc1_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_tdlat_3(A) => v2_pre_topc(A) ) ) )).
fof(cc1_termord,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) => ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) ) => ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_wellord1(B) & v2_bagorder(B,A) ) ) ) ) )).
fof(cc1_tex_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v13_struct_0(A,1) & v2_pre_topc(A) ) => ( v13_struct_0(A,1) & v2_pre_topc(A) & v1_tdlat_3(A) & v2_tdlat_3(A) ) ) ) )).
fof(cc1_tex_2,axiom,( ! [A] : ( v3_card_1(A,1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_subset_1(B,A) => v1_xboole_0(B) ) ) ) )).
fof(cc1_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_borsuk_1(B,A) & v1_tex_3(B,A) ) => ~ v1_tex_2(B,A) ) ) ) )).
fof(cc1_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v4_tex_4(B,A) => v2_tdlat_3(B) ) ) ) )).
fof(cc1_tietze_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_partfun3(A) ) ) )).
fof(cc1_toler_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_relat_2(A) & v2_relat_2(A) & v3_relat_2(A) & v4_relat_2(A) & v5_relat_2(A) & v6_relat_2(A) & v7_relat_2(A) & v8_relat_2(A) ) ) )).
fof(cc1_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_borsuk_2(D,k15_euclid(A),B,C) & m1_borsuk_2(E,k15_euclid(A),B,C) ) => ! [F] : ( m1_borsuk_6(F,k15_euclid(A),B,C,D,E) => v5_pre_topc(F,k2_borsuk_1(k5_topmetr,k5_topmetr),k15_euclid(A)) ) ) )).
fof(cc1_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_pre_topc(B,k15_euclid(A)) => ( ( ~ v2_struct_0(B) & v1_topalg_2(B,A) ) => ( ~ v2_struct_0(B) & v1_borsuk_2(B) ) ) ) ) )).
fof(cc1_topalg_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_struct_0(A) => v1_connsp_1(A) ) ) )).
fof(cc1_topalg_6,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v3_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) ) ) ) ) )).
fof(cc1_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_finset_1(B) => v1_topdim_1(B,A) ) ) ) )).
fof(cc1_topdim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_finset_1(B) => v1_topdim_2(B,A) ) ) )).
fof(cc1_topgen_1,axiom,( ! [A] : ( l1_struct_0(A) => ( v8_struct_0(A) => v1_orders_4(A) ) ) )).
fof(cc1_topgen_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( v8_struct_0(A) => v1_topgen_2(A) ) ) )).
fof(cc1_topgen_4,axiom,( ! [A] : ( l1_pre_topc(A) => ( v8_struct_0(A) => v5_waybel23(A) ) ) )).
fof(cc1_topgen_5,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v1_topgen_5(A) ) => ( v2_pre_topc(A) & v9_pre_topc(A) ) ) ) )).
fof(cc1_topgen_6,axiom,( ! [A] : ( m1_pre_topc(A,k3_topmetr) => v1_metrizts(A) ) )).
fof(cc1_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_connsp_2(C,A,B) => ~ v1_xboole_0(C) ) ) )).
fof(cc1_topmetr,axiom,( ! [A] : ( ( v3_topmetr(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v3_topmetr(B) ) ) )).
fof(cc1_topreal1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v5_topreal1(A) => ~ v1_xboole_0(A) ) ) )).
fof(cc1_topreal2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) ) ) ) )).
fof(cc1_topreal5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => ( v1_topreal2(A) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) ) ) ) )).
fof(cc1_topreal6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v2_connsp_1(B,A) ) ) ) )).
fof(cc1_topreala,axiom,( ! [A] : ( ( v2_pre_topc(A) & v2_monoid_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v2_monoid_0(B) ) ) )).
fof(cc1_toprealb,axiom,( ! [A] : ( m1_pre_topc(A,k15_euclid(2)) => ( v1_toprealb(A) => ( ~ v2_struct_0(A) & v1_compts_1(A) & v1_borsuk_2(A) ) ) ) )).
fof(cc1_toprealc,axiom,( ! [A] : ( l1_struct_0(A) => ( v2_toprealc(A) => v1_toprealc(A) ) ) )).
fof(cc1_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v3_pre_topc(B,A) ) ) ) )).
fof(cc1_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m4_trees_1(B,A) => v1_finset_1(B) ) ) )).
fof(cc1_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_2(B,A) => ( v2_trees_2(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc1_trees_3,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_trees_3(A) & v2_trees_3(A) & v3_trees_3(A) ) ) )).
fof(cc1_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_finseq_1(C,B) => v6_trees_3(C) ) ) )).
fof(cc1_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_2(A) ) ) )).
fof(cc1_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => ( ~ v2_struct_0(A) & v6_pre_topc(A) ) ) ) )).
fof(cc1_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) ) => ( ~ v2_struct_0(B) & v6_pre_topc(B) ) ) ) ) )).
fof(cc1_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => v2_unialg_2(B) ) ) )).
fof(cc1_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) ) )).
fof(cc1_valued_2,axiom,( ! [A] : ( v6_valued_2(A) => v5_valued_2(A) ) )).
fof(cc1_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v2_hahnban1(C,A,B) ) ) ) ) )).
fof(cc1_vectsp_1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v5_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) ) ) ) )).
fof(cc1_vectsp_2,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( ~ v2_struct_0(A) & v6_vectsp_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v4_vectsp_1(A) ) ) ) )).
fof(cc1_vectsp_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_xboole_0(C) => v1_vectsp_7(C,A,B) ) ) ) )).
fof(cc1_vectsp_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => v1_matrlin(C,A) ) ) )).
fof(cc1_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v11_quantal1(B) & v5_orders_3(B,A,A) ) ) ) ) )).
fof(cc1_waybel11,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v1_finset_1(B) ) ) )).
fof(cc1_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v12_waybel_0(B,A) & v1_waybel_6(B,A) ) => v2_waybel_0(B,A) ) ) ) )).
fof(cc1_waybel13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v23_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & v18_waybel_0(C,A,B) ) ) ) ) )).
fof(cc1_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_waybel15(B,A) => v6_waybel_6(B,A) ) ) ) )).
fof(cc1_waybel17,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v22_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) ) ) ) ) )).
fof(cc1_waybel18,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_waybel18(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A) ) ) )).
fof(cc1_waybel19,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) & v1_waybel19(A) ) ) ) )).
fof(cc1_waybel21,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v19_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) ) ) ) ) )).
fof(cc1_waybel22,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_yellow_1(k8_waybel_0(A)))) => ~ v1_xboole_0(B) ) ) )).
fof(cc1_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_waybel23(B,A) => v1_waybel23(B,A) ) ) ) )).
fof(cc1_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v3_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) ) ) ) ) )).
fof(cc1_waybel25,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) ) => ( v2_pre_topc(A) & v6_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) ) ) )).
fof(cc1_waybel26,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => v1_relat_1(C) ) ) )).
fof(cc1_waybel27,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_waybel27(A) & v2_waybel27(A) & v3_waybel27(A) ) ) )).
fof(cc1_waybel29,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v4_waybel11(A) & v3_waybel_3(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) => ( v2_pre_topc(A) & v6_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_waybel_3(A) & v2_waybel18(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) ) ) )).
fof(cc1_waybel30,axiom,( ! [A] : ( ( v13_struct_0(A,1) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v7_struct_0(B) ) ) )).
fof(cc1_waybel31,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_waybel_8(A) & v1_lattice3(A) & v2_lattice3(A) ) ) ) )).
fof(cc1_waybel32,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) & v1_waybel32(A) ) ) ) )).
fof(cc1_waybel33,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v1_waybel33(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) ) ) ) )).
fof(cc1_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_waybel34(C,A,B) ) ) ) ) )).
fof(cc1_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v1_waybel35(B,A) => ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & v4_waybel_4(B,A) ) ) ) ) )).
fof(cc1_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => ( v1_waybel_0(B,A) & v2_waybel_0(B,A) ) ) ) ) )).
fof(cc1_waybel_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v4_waybel_1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) ) ) ) ) )).
fof(cc1_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v16_waybel_0(A) ) => ( ~ v2_struct_0(A) & v1_lattice3(A) & v2_lattice3(A) ) ) ) )).
fof(cc1_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel_0(B,A) & v2_waybel_0(B,A) ) ) ) )).
fof(cc1_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v5_waybel_4(B,A) => ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & v3_waybel_4(B,A) & v4_waybel_4(B,A) ) ) ) ) )).
fof(cc1_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,C,k7_funcop_1(A,B)) => v2_relat_1(D) ) ) )).
fof(cc1_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_orders_2(B,A) => ( v6_orders_2(B,A) & v1_waybel_0(B,A) & v2_waybel_0(B,A) ) ) ) ) )).
fof(cc1_waybel_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & v3_waybel_7(B,A) ) => ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(A)) & v2_waybel_0(B,A) & v13_waybel_0(B,A) ) ) ) ) )).
fof(cc1_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_8(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) ) ) ) )).
fof(cc1_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v8_pre_topc(B) ) ) ) ) )).
fof(cc1_wellord1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_wellord1(A) ) => ( v1_relat_1(A) & v1_relat_2(A) & v4_relat_2(A) & v6_relat_2(A) & v8_relat_2(A) & v1_wellord1(A) ) ) )).
fof(cc1_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => v7_ordinal1(A) ) )).
fof(cc1_xcmplx_0,axiom,( ! [A] : ( v7_ordinal1(A) => v1_xcmplx_0(A) ) )).
fof(cc1_xreal_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => v1_xreal_0(A) ) )).
fof(cc1_xreal_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => v1_xxreal_0(A) ) )).
fof(cc1_xtuple_0,axiom,( ! [A] : ( v2_xtuple_0(A) => v1_xtuple_0(A) ) )).
fof(cc1_xxreal_0,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => v1_xxreal_0(A) ) )).
fof(cc1_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & ~ v1_xreal_0(A) ) => ( v1_xxreal_0(A) & v2_xxreal_0(A) ) ) )).
fof(cc1_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v1_waybel_6(B,A) ) ) ) )).
fof(cc1_yellow11,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v2_waybel_1(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v1_yellow11(A) ) ) ) )).
fof(cc1_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_tops_2(B,A) & v1_cantor_1(B,A) ) ) ) ) )).
fof(cc1_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_finset_1(B) => v4_pre_topc(B,A) ) ) ) )).
fof(cc1_yellow14,axiom,( ! [A] : ( ( v1_monoid_0(A) & l1_struct_0(A) ) => ! [B] : ( l1_waybel_0(B,A) => v1_yellow14(B,A) ) ) )).
fof(cc1_yellow15,axiom,( ! [A] : ( m1_finseq_1(A,k5_margrel1) => v1_margrel1(A) ) )).
fof(cc1_yellow16,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_yellow16(A) ) => ( v1_relat_1(A) & v1_yellow_1(A) & v5_waybel_3(A) ) ) )).
fof(cc1_yellow18,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v8_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) ) => ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow18(A) ) ) ) )).
fof(cc1_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_yellow19(C,A,B) => ~ v1_xboole_0(C) ) ) )).
fof(cc1_yellow21,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v3_yellow21(A) ) => ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) ) ) ) )).
fof(cc1_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_lattice3(A) ) => ( ~ v2_struct_0(A) & v1_lattice3(A) & v2_lattice3(A) ) ) ) )).
fof(cc1_yellow_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_yellow_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A) ) ) )).
fof(cc1_yellow_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v24_waybel_0(A) & v25_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) ) ) ) )).
fof(cc1_yellow_3,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => v1_yellow_3(A) ) ) )).
fof(cc1_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ! [C] : ( m3_yellow_6(C,A,B) => v1_yellow_1(C) ) ) )).
fof(cc1_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v1_waybel_5(A) ) => ( ~ v2_struct_0(A) & v3_lattice3(A) ) ) ) )).
fof(cc1_yellow_8,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_yellow_8(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc1_yellow_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => ~ v2_struct_0(B) ) ) )).
fof(cc1_zf_lang,axiom,( ! [A] : ( m1_subset_1(A,k1_zf_lang) => v7_ordinal1(A) ) )).
fof(cc1_zfmisc_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_zfmisc_1(A) ) )).
fof(cc1_zmodul03,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v6_zmodul01(A) & v1_zmodul03(A) ) ) ) )).
fof(cc1_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => v1_zmodul03(B) ) ) )).
fof(cc1_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul03(B,A) => v1_finset_1(B) ) ) )).
fof(cc1_zmodul06,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v6_zmodul01(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v6_zmodul01(A) & v3_zmodul06(A) ) ) ) )).
fof(cc20_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => ~ v1_xboole_0(B) ) ) )).
fof(cc20_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v25_algstr_0(B,A) => ( v23_algstr_0(B,A) & v24_algstr_0(B,A) ) ) ) ) )).
fof(cc20_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_relat_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_partit_2(A) ) ) )).
fof(cc20_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k32_fomodel1(A)) => v15_fomodel1(B,A) ) ) )).
fof(cc20_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_fomodel1(C)) => ( ~ v7_fomodel2(D,k13_fomodel0(B,A),C) => ~ v7_fomodel2(D,k3_xboole_0(A,B),C) ) ) ) )).
fof(cc20_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v1_monoid_0(B) ) ) ) ) )).
fof(cc20_ordinal1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => v10_ordinal1(A) ) )).
fof(cc20_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_lattices(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v8_lattices(B) ) ) )).
fof(cc20_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tdlat_3(B) => v3_tdlat_3(B) ) ) ) )).
fof(cc20_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v3_tex_3(B,A) & ~ v4_tex_3(B,A) ) => ~ v1_borsuk_1(B,A) ) ) ) )).
fof(cc20_valued_0,axiom,( ! [A] : ! [B] : ( v5_membered(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v5_relat_1(C,k4_numbers) ) ) )).
fof(cc20_valued_2,axiom,( ! [A] : ( v6_valued_2(A) => ! [B] : ( m1_subset_1(B,A) => v4_valued_0(B) ) ) )).
fof(cc21_absred_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) ) => ! [C] : ( m1_subset_1(C,k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc21_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( v26_algstr_0(A) & v27_algstr_0(A) ) => v28_algstr_0(A) ) ) )).
fof(cc21_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( m1_subset_1(B,A) => v1_xtuple_0(B) ) ) )).
fof(cc21_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k35_fomodel1(A)) => v13_fomodel1(B,A) ) ) )).
fof(cc21_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_fomodel1(C)) => ( ( ~ v7_fomodel2(D,A,C) & ~ v7_fomodel2(D,B,C) ) => ( ~ v7_fomodel2(D,A,C) & ~ v7_fomodel2(D,k2_xboole_0(B,A),C) ) ) ) ) )).
fof(cc21_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m3_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v1_monoid_0(B) ) ) ) ) )).
fof(cc21_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_lattices(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v9_lattices(B) ) ) )).
fof(cc21_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v3_tdlat_3(B) => ~ v2_tdlat_3(B) ) ) ) )).
fof(cc21_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_borsuk_1(B,A) & ~ v4_tex_3(B,A) ) => ~ v3_tex_3(B,A) ) ) ) )).
fof(cc21_valued_0,axiom,( ! [A] : ! [B] : ( v6_membered(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v4_valued_0(C) ) ) )).
fof(cc21_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v7_valued_2(B) ) ) ) )).
fof(cc22_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => v2_margrel1(B) ) ) )).
fof(cc22_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ( v28_algstr_0(A) => ( v26_algstr_0(A) & v27_algstr_0(A) ) ) ) )).
fof(cc22_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v4_fomodel0(A) ) ) )).
fof(cc22_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( ( ~ v7_fomodel1(B,A) & v10_fomodel1(B,A) ) => ( v8_fomodel1(B,A) & v10_fomodel1(B,A) ) ) ) ) )).
fof(cc22_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v6_fomodel2(B,A) => v9_fomodel2(B,A) ) ) )).
fof(cc22_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v2_monoid_0(B) ) ) ) ) )).
fof(cc22_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_robbins3(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v9_robbins3(B) ) ) )).
fof(cc22_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tdlat_3(B) & v2_tdlat_3(B) ) => ( ~ v2_struct_0(B) & v7_struct_0(B) ) ) ) ) )).
fof(cc22_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & ~ v3_tex_3(B,A) ) ) ) ) )).
fof(cc22_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_zfmisc_1(A) & v2_valued_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v5_valued_0(A) & v6_valued_0(A) ) ) )).
fof(cc22_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v12_valued_2(A) ) => ( v1_relat_1(A) & v11_valued_2(A) ) ) )).
fof(cc23_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => v3_margrel1(B,u1_struct_0(A)) ) ) )).
fof(cc23_algstr_0,axiom,( ! [A] : ( ( v26_algstr_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v23_algstr_0(B,A) ) ) )).
fof(cc23_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_fomodel0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) ) )).
fof(cc23_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( ( ~ v4_fomodel1(B,A) & v8_fomodel1(B,A) ) => ( v6_fomodel1(B,A) & v8_fomodel1(B,A) ) ) ) ) )).
fof(cc23_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k40_fomodel2(A)) => ( v4_fomodel2(B,A) & v5_fomodel2(B,A) ) ) ) )).
fof(cc23_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m3_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v2_monoid_0(B) ) ) ) ) )).
fof(cc23_robbins3,axiom,( ! [A] : ( l3_robbins3(A) => ( ( ~ v2_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_robbins3(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) ) ) ) )).
fof(cc23_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v2_tdlat_3(B) ) => ( ~ v2_struct_0(B) & ~ v1_tdlat_3(B) ) ) ) ) )).
fof(cc23_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tex_2(B,A) => ~ v1_tex_3(B,A) ) ) ) )).
fof(cc23_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v5_valued_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v7_valued_0(A) ) ) )).
fof(cc23_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v11_valued_2(A) ) => ( v1_relat_1(A) & v10_valued_2(A) ) ) )).
fof(cc24_algstr_0,axiom,( ! [A] : ( ( v27_algstr_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v24_algstr_0(B,A) ) ) )).
fof(cc24_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_fomodel0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_fomodel0(B) ) ) )).
fof(cc24_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k16_fomodel1(A)) => v4_fomodel1(B,A) ) ) )).
fof(cc24_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k40_fomodel2(A)) => v4_fomodel2(B,A) ) ) )).
fof(cc24_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) ) => ! [B] : ( m3_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v4_vectsp_1(B) ) ) ) ) )).
fof(cc24_robbins3,axiom,( ! [A] : ( l3_robbins3(A) => ( ( ~ v2_struct_0(A) & v5_lattices(A) & v10_robbins3(A) ) => ( ~ v2_struct_0(A) & v4_orders_2(A) ) ) ) )).
fof(cc24_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v1_tdlat_3(B) ) => ( ~ v2_struct_0(B) & ~ v2_tdlat_3(B) ) ) ) ) )).
fof(cc24_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tex_3(B,A) => ~ v1_tex_2(B,A) ) ) ) )).
fof(cc24_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v6_valued_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v8_valued_0(A) ) ) )).
fof(cc24_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v10_valued_2(A) ) => ( v1_relat_1(A) & v9_valued_2(A) ) ) )).
fof(cc25_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( ( v30_algstr_0(A) & v31_algstr_0(A) ) => v32_algstr_0(A) ) ) )).
fof(cc25_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & ~ v2_abian(A) ) ) )).
fof(cc25_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ! [D] : ( m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v14_fomodel1(D,k2_xcmplx_0(B,k3_xcmplx_0(k5_numbers,C)),A) => v14_fomodel1(D,k2_xcmplx_0(B,C),A) ) ) ) )).
fof(cc25_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k40_fomodel2(A)) => v5_fomodel2(B,A) ) ) )).
fof(cc25_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v5_group_1(B) ) ) ) ) )).
fof(cc25_robbins3,axiom,( ! [A] : ( l3_robbins3(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v10_robbins3(A) ) => ( ~ v2_struct_0(A) & v5_orders_2(A) ) ) ) )).
fof(cc25_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v7_struct_0(B) & v2_pre_topc(B) ) => ( ~ v2_struct_0(B) & v1_tdlat_3(B) & v2_tdlat_3(B) ) ) ) ) )).
fof(cc25_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & ~ v4_tex_3(B,A) ) ) ) ) )).
fof(cc25_valued_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( m1_valued_0(C,B) => v5_relat_1(C,A) ) ) )).
fof(cc25_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v9_valued_2(A) ) => ( v1_relat_1(A) & v8_valued_2(A) ) ) )).
fof(cc26_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v32_algstr_0(A) => ( v30_algstr_0(A) & v31_algstr_0(A) ) ) ) )).
fof(cc26_fomodel0,axiom,( ! [A] : ( v1_xboole_0(A) => v5_fomodel0(A) ) )).
fof(cc26_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( ( ~ v5_fomodel1(B,A) & v9_fomodel1(B,A) ) => ( v4_fomodel1(B,A) & v9_fomodel1(B,A) ) ) ) ) )).
fof(cc26_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & v16_fomodel1(C,B) & l1_fomodel1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,C,A) ) => ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,B,A) ) ) ) )).
fof(cc26_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m3_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v5_group_1(B) ) ) ) ) )).
fof(cc26_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v8_robbins3(B) ) ) )).
fof(cc26_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v1_tex_2(B,A) => ( v1_borsuk_1(B,A) & v1_tsep_1(B,A) ) ) ) ) )).
fof(cc26_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tex_2(B,A) => ~ v2_tex_3(B,A) ) ) ) )).
fof(cc26_valued_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [C] : ( m1_valued_0(C,B) => v3_funct_1(C) ) ) )).
fof(cc26_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v9_valued_2(A) ) => ( v1_relat_1(A) & v7_valued_2(A) ) ) )).
fof(cc27_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( ( v33_algstr_0(A) & v34_algstr_0(A) ) => v35_algstr_0(A) ) ) )).
fof(cc27_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_fomodel0(A) ) ) )).
fof(cc27_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v13_fomodel1(B,A) => v5_relat_1(B,k5_fomodel1(A)) ) ) ) )).
fof(cc27_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k15_fomodel2(B,A)) & v10_fomodel2(D,A,B,C) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(D)) => v10_fomodel2(E,A,B,C) ) ) )).
fof(cc27_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v3_group_1(B) ) ) ) ) )).
fof(cc27_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) & l4_robbins1(A) ) => ! [B] : ( m3_robbins3(B,A) => v10_robbins1(B) ) ) )).
fof(cc27_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v1_tsep_1(B,A) => v1_tex_2(B,A) ) ) ) )).
fof(cc27_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tex_3(B,A) => ~ v1_tex_2(B,A) ) ) ) )).
fof(cc27_valued_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_setfam_1(A) & v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [C] : ( m1_valued_0(C,B) => v2_relat_1(C) ) ) )).
fof(cc27_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v12_valued_2(A) ) ) )).
fof(cc28_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v35_algstr_0(A) => ( v33_algstr_0(A) & v34_algstr_0(A) ) ) ) )).
fof(cc28_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_fomodel0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) ) )).
fof(cc28_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v15_fomodel1(B,A) => v5_relat_1(B,k17_fomodel1(A)) ) ) ) )).
fof(cc28_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m3_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v3_group_1(B) ) ) ) ) )).
fof(cc28_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v1_borsuk_1(B,A) => v1_tex_2(B,A) ) ) ) )).
fof(cc28_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v3_tex_3(B,A) ) => ( ~ v2_struct_0(B) & ~ v1_borsuk_1(B,A) ) ) ) ) )).
fof(cc28_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k2_numbers) ) => ( v1_relat_1(A) & v1_valued_0(A) ) ) )).
fof(cc28_valued_2,axiom,( ! [A] : ! [B] : ( v1_valued_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_1(C) => ( v1_funct_1(C) & v7_valued_2(C) ) ) ) ) )).
fof(cc29_fomodel0,axiom,( ! [A] : ( v1_zfmisc_1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc29_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l1_fomodel1(A) ) => ! [B] : ( l1_fomodel1(B) => ( v16_fomodel1(B,A) => ~ v6_struct_0(B) ) ) ) )).
fof(cc29_robbins3,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v8_robbins1(A) ) => ( ~ v2_struct_0(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) ) ) ) )).
fof(cc29_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v2_tdlat_3(B) ) => ( ~ v2_struct_0(B) & v7_struct_0(B) ) ) ) ) )).
fof(cc29_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_borsuk_1(B,A) ) => ( ~ v2_struct_0(B) & ~ v3_tex_3(B,A) ) ) ) ) )).
fof(cc29_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k6_numbers) ) => ( v1_relat_1(A) & v2_valued_0(A) ) ) )).
fof(cc29_valued_2,axiom,( ! [A] : ! [B] : ( v2_valued_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_1(C) => ( v1_funct_1(C) & v8_valued_2(C) ) ) ) ) )).
fof(cc2_abcmiz_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v1_abcmiz_0(A) ) ) ) )).
fof(cc2_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_finseq_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => v6_trees_3(C) ) ) )).
fof(cc2_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k2_abcmiz_1) => v1_xtuple_0(A) ) )).
fof(cc2_abian,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v1_abian(A) ) => ( ~ v8_ordinal1(A) & v1_int_1(A) ) ) )).
fof(cc2_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v5_absred_0(A) => v4_absred_0(A) ) ) )).
fof(cc2_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_card_1(B,A) ) => ( v1_relat_1(B) & v4_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) ) ) )).
fof(cc2_algspec1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m2_algspec1(B,A) => ~ v11_struct_0(B) ) ) )).
fof(cc2_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_algstr_0(B,A) => ( v2_algstr_0(B,A) & v3_algstr_0(B,A) ) ) ) ) )).
fof(cc2_algstr_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v2_algstr_1(A) & v3_algstr_1(A) ) => ( ~ v2_struct_0(A) & v4_algstr_1(A) ) ) ) )).
fof(cc2_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v10_altcat_1(A) & v12_altcat_1(A) ) => ( ~ v2_struct_0(A) & v8_altcat_1(A) & v9_altcat_1(A) ) ) ) )).
fof(cc2_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_2(B,A) ) => v2_altcat_1(B) ) ) ) )).
fof(cc2_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_altcat_5(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ! [E] : ( m1_altcat_5(E,A,B,C,D) => v1_funcop_1(E) ) ) )).
fof(cc2_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_xboole_0,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_altcat_6(D,A,C,k1_xboole_0,B) => v1_altcat_6(D,A,k1_xboole_0,B,C) ) ) )).
fof(cc2_ami_wstd,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v3_ami_wstd(C,A,B) => ~ v2_extpro_1(C,A,B) ) ) ) )).
fof(cc2_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v4_amistd_1(C,A,B) => ~ v2_extpro_1(C,A,B) ) ) ) )).
fof(cc2_amistd_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) => v4_compos_0(C,u1_compos_1(B)) ) ) ) )).
fof(cc2_amistd_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => v1_amistd_5(C,A,B) ) ) )).
fof(cc2_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_freealg(A,B))) => v3_trees_2(C) ) ) )).
fof(cc2_aofa_l00,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_aofa_l00(B) => ( v6_aofa_l00(B,A) => ~ v11_struct_0(B) ) ) ) )).
fof(cc2_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v6_armstrng(B,A) => ( v8_relat_2(B) & v3_armstrng(B,A) & v4_armstrng(B,A) & v5_armstrng(B,A) ) ) ) )).
fof(cc2_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k3_arrow(A)) => v1_relat_1(B) ) ) )).
fof(cc2_asympt_0,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & v5_asympt_0(A) ) ) ) )).
fof(cc2_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v13_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v20_bcialg_1(A) ) ) ) )).
fof(cc2_bcialg_5,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v11_bcialg_3(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v10_bcialg_3(A) ) ) ) )).
fof(cc2_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_2(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(B,A) ) ) ) ) )).
fof(cc2_binom,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v2_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v6_algstr_0(A) ) ) ) )).
fof(cc2_bintree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & v2_dtconstr(A) & v3_bintree1(A) & l1_lang1(A) ) => ! [B] : ( m1_subset_1(B,k4_dtconstr(A)) => v2_bintree1(B) ) ) )).
fof(cc2_borsuk_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_connsp_1(A) ) ) ) )).
fof(cc2_borsuk_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v1_rat_1(A) ) => ( ~ v8_ordinal1(A) & v1_xreal_0(A) ) ) )).
fof(cc2_borsuk_6,axiom,( ! [A] : ( ( v3_topmetr(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v3_topmetr(B) ) ) )).
fof(cc2_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_ideal_1(B,A) & v1_c0sp1(B,A) ) => v2_c0sp1(B,A) ) ) ) )).
fof(cc2_card_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_card_1(A) ) )).
fof(cc2_card_3,axiom,( ! [A] : ! [B] : ( v1_setfam_1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) ) => ( v2_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,A,B) ) ) ) ) )).
fof(cc2_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v4_card_fil(A) ) => ( ~ v1_finset_1(A) & v1_card_1(A) & v2_card_1(A) & v1_card_5(A) ) ) )).
fof(cc2_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_xboole_0(A) ) => ( v3_ordinal1(A) & ~ v1_finset_1(A) ) ) )).
fof(cc2_cat_1,axiom,( ! [A] : ( l1_cat_1(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v15_struct_0(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_cat_1(A) & v6_cat_1(A) ) ) ) )).
fof(cc2_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => v3_cat_5(B) ) ) )).
fof(cc2_cat_7,axiom,( ! [A] : ( l1_cat_6(A) => ( v2_struct_0(A) => v6_cat_7(A) ) ) )).
fof(cc2_catalg_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( ~ v2_struct_0(A) & v1_instalg1(A) & v2_catalg_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) ) ) ) )).
fof(cc2_cayldick,axiom,( ! [A] : ( l1_algstr_0(A) => ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v2_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v6_algstr_0(A) & v2_rlvect_1(A) ) ) ) )).
fof(cc2_cgames_1,axiom,( ! [A] : ( l1_cgames_1(A) => ( v2_cgames_1(A) => v1_cgames_1(A) ) ) )).
fof(cc2_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_chord(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_chord(A) ) ) )).
fof(cc2_circcmb3,axiom,( ! [A] : ( l1_msualg_1(A) => ( v4_circcmb3(A) => ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v1_msualg_1(A) & v1_circcomb(A) & v2_circcomb(A) ) ) ) )).
fof(cc2_circcomb,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( ~ v2_struct_0(A) & v1_circcomb(A) ) => ( ~ v2_struct_0(A) & v2_msafree2(A) ) ) ) )).
fof(cc2_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C))) => v3_trees_2(D) ) ) )).
fof(cc2_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => v3_trees_2(D) ) ) )).
fof(cc2_classes2,axiom,( ! [A] : ( v1_classes2(A) => ( v1_ordinal1(A) & v2_classes1(A) ) ) )).
fof(cc2_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc2_clopban2,axiom,( ! [A] : ( l1_clopban2(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v6_vectsp_1(A) & v3_clopban1(A) & v2_cfuncdom(A) & v3_group_1(A) & v2_clopban2(A) & v3_clopban2(A) & v4_clopban2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) ) ) ) )).
fof(cc2_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v3_clopban1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_clopban3(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_clopban3(B,A) ) ) ) ) )).
fof(cc2_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure1(B,A) => ( v7_closure1(B,A) => v6_closure1(B,A) ) ) ) )).
fof(cc2_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v4_closure2(C,A,B) => v3_closure2(C,A,B) ) ) ) )).
fof(cc2_cohsp_1,axiom,( ! [A] : ( v2_cohsp_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc2_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_waybel_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_compact1(A) ) ) ) )).
fof(cc2_compl_sp,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v3_compl_sp(B,A) ) ) ) )).
fof(cc2_compos_0,axiom,( ! [A] : ( v5_compos_0(A) => ~ v1_xboole_0(A) ) )).
fof(cc2_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_zfmisc_1(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v4_compos_1(B,A) ) ) ) )).
fof(cc2_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_compts_1(B,A) => v4_pre_topc(B,A) ) ) ) )).
fof(cc2_comput_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_margrel1(A) ) ) )).
fof(cc2_comseq_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & ~ v1_comseq_2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & ~ v2_comseq_2(A) ) ) ) )).
fof(cc2_comseq_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_series_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_series_1(A) ) ) ) )).
fof(cc2_connsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_connsp_1(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc2_dblseq_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & v7_dblseq_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_seq_2(A) & v2_seq_2(A) ) ) ) )).
fof(cc2_descip_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k2_finseq_1(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k5_card_1(A),k2_finseq_1(A)) & v1_descip_1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k5_card_1(A),k2_finseq_1(A)) & v3_funct_2(B,k5_card_1(A),k2_finseq_1(A)) & v1_descip_1(B,A) ) ) ) ) )).
fof(cc2_dilworth,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_dilworth(B,A) => v6_orders_2(B,A) ) ) ) )).
fof(cc2_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k17_dualsp01(A))) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc2_entropy1,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) => ( ( v1_matrix_0(A) & v3_matrprob(A) ) => ( ~ v3_relat_1(A) & v1_matrix_0(A) ) ) ) )).
fof(cc2_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => v1_setfam_1(B) ) )).
fof(cc2_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => v1_finseq_1(B) ) ) )).
fof(cc2_euclid_7,axiom,( ! [A] : ( v1_xboole_0(A) => v2_euclid_7(A) ) )).
fof(cc2_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(A))) => v3_card_1(B,A) ) ) )).
fof(cc2_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) ) )).
fof(cc2_facirc_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v7_ordinal1(A) & ~ v1_xtuple_0(A) ) ) )).
fof(cc2_facirc_2,axiom,( ! [A] : ( v1_xboole_0(A) => ~ v1_xtuple_0(A) ) )).
fof(cc2_fcont_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_funct_1(A) & v1_fcont_1(A) ) ) ) )).
fof(cc2_fcont_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_xboole_0(A) => v3_rcomp_1(A) ) ) )).
fof(cc2_filter_0,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v3_filter_0(A) ) ) ) )).
fof(cc2_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) ) ) )).
fof(cc2_finseq_2,axiom,( ! [A] : ! [B] : ( m1_finseq_2(B,A) => v4_funct_1(B) ) )).
fof(cc2_finset_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_finset_1(B) ) ) )).
fof(cc2_finsub_1,axiom,( ! [A] : ( ( v1_finsub_1(A) & v3_finsub_1(A) ) => v4_finsub_1(A) ) )).
fof(cc2_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_fintopo6(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v3_orders_2(B) ) ) ) ) )).
fof(cc2_fomodel0,axiom,( ! [A] : ( v2_setfam_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_setfam_1(B) ) ) )).
fof(cc2_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v7_fomodel1(B,A) => v5_fomodel1(B,A) ) ) ) )).
fof(cc2_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v4_fomodel1(B,A) => v9_fomodel1(B,A) ) ) ) )).
fof(cc2_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k37_fomodel1(A)) => v9_fomodel1(B,A) ) ) )).
fof(cc2_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel4(A)) => v1_fomodel4(B,A) ) ) )).
fof(cc2_frechet,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_frechet(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_frechet(A) ) ) ) )).
fof(cc2_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_funcop_1(A) ) ) )).
fof(cc2_funct_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) ) )).
fof(cc2_funct_2,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_2(C,A,B) => v1_partfun1(C,A) ) ) ) )).
fof(cc2_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funct_7(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_finseq_1(A) ) ) )).
fof(cc2_funct_8,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v2_funct_8(C) & v3_funct_8(C,A,B) ) => ( v1_funct_1(C) & v4_funct_8(C,A,B) ) ) ) ) )).
fof(cc2_functor0,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v12_altcat_1(A) ) => ( ~ v2_struct_0(A) & v1_altcat_2(A) ) ) ) )).
fof(cc2_functor2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( v15_functor0(C,A,B) => ( v10_functor0(C,A,B) & v13_functor0(C,A,B) ) ) ) ) )).
fof(cc2_fvaluat1,axiom,( ! [A] : ( v1_int_1(A) => v1_fvaluat1(A) ) )).
fof(cc2_gaussint,axiom,( ! [A] : ( v1_rat_1(A) => ( v1_rat_1(A) & v4_gaussint(A) ) ) )).
fof(cc2_gcd_1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v1_vectsp_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v5_vectsp_1(A) ) ) ) )).
fof(cc2_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v7_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) & v5_glib_000(A) ) ) )).
fof(cc2_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) => v5_glib_001(B,A) ) ) ) )).
fof(cc2_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) & v4_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) ) )).
fof(cc2_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => ! [C] : ( m2_glib_000(C,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) => v1_glib_002(C) ) ) )).
fof(cc2_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ( ( v2_funct_1(B) & v1_xboole_0(B) ) => ( v2_funct_1(B) & v9_graph_1(B,A) ) ) ) ) )).
fof(cc2_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ( v1_xboole_0(B) => v2_funct_1(B) ) ) ) )).
fof(cc2_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_funct_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => v5_funct_1(C,A) ) ) )).
fof(cc2_grnilp_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_grnilp_1(A) ) ) ) )).
fof(cc2_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => v5_group_1(B) ) ) )).
fof(cc2_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k12_pralg_1(k1_tarski(1),k9_finseq_1(A)))) => v1_finseq_1(B) ) ) )).
fof(cc2_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v2_group_10(B,A) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => v2_group_10(C,A) ) ) )).
fof(cc2_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v3_hahnban(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v4_hahnban(B,A) ) ) ) ) )).
fof(cc2_hahnban1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v4_hahnban1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v3_hahnban1(C,A,B) ) ) ) ) )).
fof(cc2_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m3_hallmar1(D,A,B,C) => ~ v1_xboole_0(D) ) ) )).
fof(cc2_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v4_glib_001(B,A) => v5_glib_001(B,A) ) ) ) )).
fof(cc2_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v3_hermitan(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v4_hermitan(B,A) ) ) ) ) )).
fof(cc2_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k13_finseq_1(k4_ordinal1))) => ( ( v1_hilbert1(A) & v2_hilbert1(A) & v3_hilbert1(A) & v4_hilbert1(A) ) => v5_hilbert1(A) ) ) )).
fof(cc2_hilbert3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v1_hilbert3(A) => v2_hilbert3(A) ) ) )).
fof(cc2_hurwitz2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & v6_hurwitz2(A) & v9_hurwitz2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & v6_hurwitz2(A) & v8_hurwitz2(A,k1_complfld) ) ) ) )).
fof(cc2_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v3_ideal_1(B,A) ) => ( ~ v1_xboole_0(B) & v2_ideal_1(B,A) ) ) ) ) )).
fof(cc2_instalg1,axiom,( ! [A] : ( l1_msualg_1(A) => ( ~ v2_struct_0(A) => v1_instalg1(A) ) ) )).
fof(cc2_int_1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_int_1(A) ) )).
fof(cc2_int_3,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v1_int_3(A) ) ) ) )).
fof(cc2_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v2_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) ) )).
fof(cc2_integra1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ( ~ v1_xboole_0(A) & v2_measure5(A) ) => v5_xxreal_2(A) ) ) )).
fof(cc2_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) => ( v1_isomichi(B,A) & v2_isomichi(B,A) ) ) ) ) )).
fof(cc2_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v1_xboole_0(B) => v9_rltopsp1(B,k15_euclid(A)) ) ) ) )).
fof(cc2_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => ( v1_topreal2(A) & v1_jordan21(A) ) ) ) )).
fof(cc2_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_jordan23(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_jordan23(A) ) ) )).
fof(cc2_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))) & v2_funct_2(B,u1_struct_0(k3_pcomps_1(A))) & v1_jordan24(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))) & v3_tops_2(B,k3_pcomps_1(A),k3_pcomps_1(A)) ) ) ) ) )).
fof(cc2_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => ( ~ v2_struct_0(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) ) ) ) )).
fof(cc2_lattice2,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & v3_filter_0(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice2(A) ) ) ) )).
fof(cc2_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_lattice3(A) => ~ v2_struct_0(A) ) ) )).
fof(cc2_lattice6,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice6(A) ) ) ) )).
fof(cc2_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & v2_latticea(B,A) ) => ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & v1_filter_0(B,A) ) ) ) ) )).
fof(cc2_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) ) ) ) )).
fof(cc2_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v3_lexbfs(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v13_glib_000(A) ) ) )).
fof(cc2_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => v1_lfuzzy_0(A) ) ) )).
fof(cc2_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc2_lopban_2,axiom,( ! [A] : ( l1_lopban_2(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_funcsdom(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v6_vectsp_1(A) & v3_lopban_1(A) & v3_group_1(A) & v2_lopban_2(A) & v3_lopban_2(A) & v4_lopban_2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_funcsdom(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) ) ) ) )).
fof(cc2_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_lopban_3(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_lopban_3(B,A) ) ) ) ) )).
fof(cc2_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [B] : ( m1_subset_1(B,k5_ltlaxio4(A)) => ~ v2_ltlaxio3(B) ) ) )).
fof(cc2_margrel1,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => v1_xboolean(A) ) )).
fof(cc2_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v4_matroid0(A) => v3_matroid0(A) ) ) )).
fof(cc2_matrprob,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) => ( ( v1_matrix_0(A) & v2_matrprob(A) & v3_matrprob(A) ) => ( v1_matrix_0(A) & v4_matrprob(A) ) ) ) )).
fof(cc2_matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_matrtop3(C,A) & v1_matrtop3(C,B) ) => ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_matrtop3(C,k3_xboole_0(A,B)) ) ) )).
fof(cc2_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_mazurulm(C,A,B) & v3_mazurulm(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_mazurulm(C,A,B) ) ) ) ) )).
fof(cc2_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) => v2_xtuple_0(D) ) ) )).
fof(cc2_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( v2_finsub_1(B) & v1_prob_1(B,A) ) => v1_finsub_1(B) ) ) )).
fof(cc2_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v2_measure5(A) => v6_xxreal_2(A) ) ) )).
fof(cc2_membered,axiom,( ! [A] : ( v5_membered(A) => v4_membered(A) ) )).
fof(cc2_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v4_memstr_0(C,A,B) ) ) ) )).
fof(cc2_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) => ( ( v1_funct_1(B) & v2_mesfunc5(B) ) => ( v1_funct_1(B) & v4_mesfunc5(B) ) ) ) ) )).
fof(cc2_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v3_pcomps_1(A) ) => ( v2_pre_topc(A) & v12_pre_topc(A) ) ) ) )).
fof(cc2_mfold_0,axiom,( ! [A] : ( ( v7_ordinal1(A) & v8_ordinal1(A) ) => ! [B] : ( l1_pre_topc(B) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) ) => ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) & v3_mfold_0(B) ) ) ) ) )).
fof(cc2_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_pre_topc(B) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_1(B,A) ) => ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_frechet(B) ) ) ) ) )).
fof(cc2_mmlquer2,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_relat_2(A) & v1_rewrite1(A) ) ) )).
fof(cc2_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_mod_4(C,A,B) ) ) ) ) )).
fof(cc2_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k22_pre_poly(k8_newton,k3_moebius2(A))) => v7_ordinal1(B) ) ) )).
fof(cc2_monoid_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v2_monoid_0(A) => v1_monoid_0(A) ) ) )).
fof(cc2_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) ) => ( v4_msualg_1(B,A) & v3_msafree2(B,A) ) ) ) ) )).
fof(cc2_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v1_finset_1(C) & v3_trees_2(C) ) ) ) )).
fof(cc2_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k3_equation(A)))) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc2_msafree5,axiom,( ! [A] : ( v6_membered(A) => v6_ordinal1(A) ) )).
fof(cc2_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => v1_xboole_0(B) ) ) )).
fof(cc2_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) => ! [C] : ( m3_pboole(C,A,B) => v2_finset_1(C) ) ) )).
fof(cc2_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k10_xtuple_0(k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,B)))) => ~ v1_xboole_0(C) ) ) )).
fof(cc2_msualg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ( v2_msualg_4(C,A,B) & v3_msualg_6(C,A,B) ) => ( v2_msualg_4(C,A,B) & v2_msualg_6(C,A,B) ) ) ) ) )).
fof(cc2_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v2_msualg_7(B,A) => v4_lattice3(B) ) ) ) )).
fof(cc2_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_pralg_2(D,B,A) ) => ! [E] : ( m1_subset_1(E,k1_funct_1(k10_pralg_2(B,A,D),C)) => ( v1_relat_1(E) & v1_funct_1(E) ) ) ) )).
fof(cc2_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ( v8_struct_0(A) => v2_mycielsk(A) ) ) )).
fof(cc2_nat_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ v3_xxreal_0(A) ) )).
fof(cc2_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_nat_6(B,A) ) => ( v7_ordinal1(B) & v1_ec_pf_2(B,A) ) ) ) )).
fof(cc2_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ! [B] : ( m1_subset_1(B,A) => v1_xreal_0(B) ) ) )).
fof(cc2_nattra_1,axiom,( ! [A] : ( l1_cat_1(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v2_nattra_1(A) & v3_nattra_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) ) ) ) )).
fof(cc2_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_vectsp_4(B,k2_bspace,k5_nbvectsp(A)) => v8_struct_0(B) ) ) )).
fof(cc2_neckla_2,axiom,( ! [A] : ( m1_subset_1(A,k13_classes2) => v1_finset_1(A) ) )).
fof(cc2_neckla_3,axiom,( ! [A] : ( v1_zfmisc_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v1_zfmisc_1(B) & v1_relat_2(B) & v3_relat_2(B) & v7_relat_2(B) & v8_relat_2(B) ) ) ) )).
fof(cc2_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) => ( ( v1_xboole_0(B) & v1_funct_1(B) ) => ( v1_funct_1(B) & v1_nfcont_3(B,A) ) ) ) ) )).
fof(cc2_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) => ( ( v1_xboole_0(B) & v1_funct_1(B) ) => ( v1_funct_1(B) & v1_nfcont_4(B,A) ) ) ) ) )).
fof(cc2_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v3_normsp_3(C,A,B) ) ) ) ) )).
fof(cc2_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_ec_pf_2(A,2) ) => ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) ) )).
fof(cc2_openlatt,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) ) ) ) )).
fof(cc2_oposet_1,axiom,( ! [A] : ( l2_qmax_1(A) => ( ( ~ v2_struct_0(A) & v6_oposet_1(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) ) )).
fof(cc2_ordeq_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_nfcont_2(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ordeq_01(B) ) ) ) ) )).
fof(cc2_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v6_orders_2(B,A) ) ) ) )).
fof(cc2_orders_4,axiom,( ! [A] : ( m1_orders_4(A) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) )).
fof(cc2_ordinal1,axiom,( ! [A] : ( ( v1_ordinal1(A) & v2_ordinal1(A) ) => v3_ordinal1(A) ) )).
fof(cc2_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( m1_subset_1(B,A) => v3_ordinal1(B) ) ) )).
fof(cc2_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal5(A) ) ) )).
fof(cc2_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) => ! [B] : ( m1_subset_1(B,A) => v3_ordinal1(B) ) ) )).
fof(cc2_osalg_1,axiom,( ! [A] : ( l3_osalg_1(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v6_osalg_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_osalg_1(A) ) ) ) )).
fof(cc2_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k2_osalg_4(A)) => ~ v1_xboole_0(B) ) ) )).
fof(cc2_partfun1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ~ v1_partfun1(C,A) ) ) )).
fof(cc2_partfun3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_partfun3(A) ) => ( v1_relat_1(A) & v2_relat_1(A) & v3_partfun3(A) ) ) )).
fof(cc2_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(B) & ~ v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) ) ) )).
fof(cc2_pdiff_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))) & v13_vectsp_1(C,k4_real_ns1(A),k4_real_ns1(B)) & v1_lopban_1(C,k4_real_ns1(A),k4_real_ns1(B)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))) & v13_vectsp_1(C,k4_real_ns1(A),k4_real_ns1(B)) & v1_lopban_1(C,k4_real_ns1(A),k4_real_ns1(B)) & v2_lopban_1(C,k4_real_ns1(A),k4_real_ns1(B)) ) ) ) ) )).
fof(cc2_pencil_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v14_pencil_1(A) ) => ( v1_relat_1(A) & v4_waybel_3(A) ) ) )).
fof(cc2_petri_df,axiom,( ! [A] : ( l1_petri(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v4_petri_df(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_df(A) ) ) ) )).
fof(cc2_polynom1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) => ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) ) ) )).
fof(cc2_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) ) ) ) ) )).
fof(cc2_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_poset_1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) ) ) ) ) )).
fof(cc2_poset_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v1_orders_3(A) ) => ( ~ v2_struct_0(A) & v1_orders_3(A) & v1_poset_2(A) ) ) ) )).
fof(cc2_pralg_2,axiom,( ! [A] : ( ( v4_funct_1(A) & ~ v1_xboole_0(A) & v2_card_3(A) ) => ! [B] : ( m1_subset_1(B,A) => v1_partfun1(B,k9_card_3(A)) ) ) )).
fof(cc2_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => v1_finset_1(C) ) ) )).
fof(cc2_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v4_pre_topc(B,A) ) ) ) )).
fof(cc2_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( v2_struct_0(A) => v4_prefer_1(A) ) ) )).
fof(cc2_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => v10_valued_0(C) ) ) )).
fof(cc2_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m2_prvect_1(B,A) => v1_finseq_1(B) ) ) )).
fof(cc2_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_prvect_2(A) ) ) )).
fof(cc2_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_pscomp_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_pscomp_1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v5_measure6(B,u1_struct_0(A)) & v6_measure6(B,u1_struct_0(A)) & v1_comseq_2(B) ) ) ) ) )).
fof(cc2_pua2mss1,axiom,( ! [A] : ( l1_unialg_1(A) => ( v4_unialg_1(A) => ~ v2_struct_0(A) ) ) )).
fof(cc2_pythtrip,axiom,( ! [A] : ( m1_pythtrip(A) => v1_finset_1(A) ) )).
fof(cc2_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v2_qc_trans(B,A,A) => v1_henmodel(B,A) ) ) ) )).
fof(cc2_quantal1,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v4_quantal1(A) & v5_quantal1(A) ) => ( ~ v2_struct_0(A) & v6_quantal1(A) ) ) ) )).
fof(cc2_quatern2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_quatern2)) => v1_quaterni(A) ) )).
fof(cc2_rat_1,axiom,( ! [A] : ( v1_int_1(A) => v1_rat_1(A) ) )).
fof(cc2_ratfunc1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v31_algstr_0(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) ) ) )).
fof(cc2_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_rcomp_1(B,A) => v3_rcomp_1(B) ) ) )).
fof(cc2_rcomp_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_topalg_2))) => ( v2_connsp_1(A,k2_topalg_2) => v6_xxreal_2(A) ) ) )).
fof(cc2_realset2,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_realset2(A) ) => ( ~ v6_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) ) ) ) )).
fof(cc2_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_relat_1(B) ) ) )).
fof(cc2_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_relat_2(A) & v8_relat_2(A) ) => ( v1_relat_1(A) & v1_relat_2(A) ) ) )).
fof(cc2_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v4_relat_1(C,A) & v5_relat_1(C,B) ) ) )).
fof(cc2_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_rewrite1(A) ) => ( v1_relat_1(A) & v2_relat_2(A) & v1_rewrite1(A) ) ) )).
fof(cc2_rewrite2,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k8_afinsq_1(A)) => v1_rewrite2(B) ) )).
fof(cc2_rfunct_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v8_valued_0(A) ) => ( v1_funct_1(A) & v1_rfunct_2(A) ) ) ) )).
fof(cc2_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_subset_1(B,u1_struct_0(A)) & v1_ring_1(B,A) ) => v2_ring_1(B,A) ) ) ) )).
fof(cc2_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & v13_vectsp_1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_ringcat1(C,A,B) ) ) ) ) )).
fof(cc2_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlvect_3(B,A) => v1_rlaffin1(B,A) ) ) ) )).
fof(cc2_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v2_rusub_4(B,k15_euclid(A)) => v4_pre_topc(B,k15_euclid(A)) ) ) ) )).
fof(cc2_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_rltopsp1(B,A) => v2_rltopsp1(B,A) ) ) ) )).
fof(cc2_rlvect_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v4_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v9_rlvect_1(A) ) ) ) )).
fof(cc2_robbins1,axiom,( ! [A] : ( l2_robbins1(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) ) => ( ~ v2_struct_0(A) & v7_robbins1(A) ) ) ) )).
fof(cc2_robbins2,axiom,( ! [A] : ( l2_robbins1(A) => ( ( ~ v2_struct_0(A) & v1_robbins2(A) ) => ( ~ v2_struct_0(A) & v5_lattices(A) ) ) ) )).
fof(cc2_robbins3,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v9_lattices(A) & v1_robbins3(A) & v2_robbins3(A) & v3_robbins3(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) ) ) ) )).
fof(cc2_robbins4,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) ) ) ) )).
fof(cc2_roughs_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_orders_2(A) => v2_roughs_2(A) ) ) )).
fof(cc2_roughs_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v10_roughs_4(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v8_roughs_4(B,A) ) ) ) )).
fof(cc2_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scmfsa6b(A) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scm_halt(A) ) ) )).
fof(cc2_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v3_scmyciel(B,A) => v5_finset_1(B) ) ) )).
fof(cc2_seq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_seq_2(A) & v2_seq_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_comseq_2(A) ) ) )).
fof(cc2_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v8_valued_0(A) & v2_seq_2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc2_seqm_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v7_valued_0(A) & v8_valued_0(A) ) => ( v1_funct_1(A) & v3_funct_1(A) ) ) ) )).
fof(cc2_setfam_1,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc2_sheffer1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) ) ) ) )).
fof(cc2_simplex0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc2_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ( v4_simplex0(B) => v1_simplex1(B,A) ) ) ) )).
fof(cc2_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & v1_simplex2(C,A) & m1_simplex0(C,B) ) => ! [D] : ( m2_simplex0(D,B,C) => v1_simplex2(D,A) ) ) )).
fof(cc2_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( ~ v1_zfmisc_1(A) & v2_sppol_1(A) ) => ~ v1_sppol_1(A) ) ) )).
fof(cc2_sppol_2,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( ~ v1_zfmisc_1(A) & v2_funct_1(A) & v1_topreal1(A) & v2_topreal1(A) & v3_topreal1(A) ) => v4_topreal1(A) ) ) )).
fof(cc2_sprect_1,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( ~ v1_xboole_0(A) & v1_sprect_1(A) ) => ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) ) ) ) )).
fof(cc2_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_finsub_1(B) => v2_srings_1(B,A) ) ) )).
fof(cc2_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( ~ v7_struct_0(A) => ~ v2_struct_0(A) ) ) )).
fof(cc2_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ~ v1_subset_1(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_substlat(A,B)) => v4_funct_1(C) ) )).
fof(cc2_supinf_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_numbers)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & v1_supinf_2(C,A,B) & v2_supinf_2(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,A,B) & v3_supinf_2(C,A,B) ) ) ) ) )).
fof(cc2_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v6_tbsp_1(B,A) ) ) ) )).
fof(cc2_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_tdlat_3(A) => v2_pre_topc(A) ) ) )).
fof(cc2_tex_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & v2_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v7_struct_0(A) & v2_pre_topc(A) ) ) ) )).
fof(cc2_tex_2,axiom,( ! [A] : ( v3_card_1(A,1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ~ v1_xboole_0(B) => ~ v1_subset_1(B,A) ) ) ) )).
fof(cc2_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tex_2(B,A) & v1_tex_3(B,A) ) => ~ v1_borsuk_1(B,A) ) ) ) )).
fof(cc2_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_tdlat_3(B) => ~ v4_tex_4(B,A) ) ) ) )).
fof(cc2_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_borsuk_2(E,B,C,D) & m1_borsuk_2(F,B,C,D) ) => ! [G] : ( m1_borsuk_6(G,B,C,D,E,F) => v5_pre_topc(G,k2_borsuk_1(k5_topmetr,k5_topmetr),B) ) ) )).
fof(cc2_topalg_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v2_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) ) ) ) )).
fof(cc2_topalg_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) ) => ! [B] : ( l1_pre_topc(B) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_1(B,A) ) => ( ~ v2_struct_0(B) & ~ v8_struct_0(B) & v2_pre_topc(B) ) ) ) ) )).
fof(cc2_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_xboole_0(B) => v2_topdim_1(B,A) ) ) ) )).
fof(cc2_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_card_3(B) => v1_topdim_1(B,A) ) ) ) )).
fof(cc2_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_topgen_1(B,A) => ( v4_pre_topc(B,A) & v2_topgen_1(B,A) ) ) ) ) )).
fof(cc2_topgen_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( ~ v1_topgen_2(A) => ~ v8_struct_0(A) ) ) )).
fof(cc2_topgen_4,axiom,( ! [A] : ( ~ v4_card_3(A) => ~ v1_finset_1(A) ) )).
fof(cc2_topgen_5,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v12_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topgen_5(A) ) ) ) )).
fof(cc2_topgrp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_tops_2(C,A,B) ) => ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v5_pre_topc(C,A,B) ) ) ) ) )).
fof(cc2_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ~ v1_sppol_1(A) => ~ v1_xboole_0(A) ) ) )).
fof(cc2_topreala,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_struct_0(A) & v2_pre_topc(A) ) => ( v2_pre_topc(A) & v1_tdlat_3(A) & v2_tdlat_3(A) ) ) ) )).
fof(cc2_toprealc,axiom,( ! [A] : ( ( v2_pre_topc(A) & v1_toprealc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v1_toprealc(B) ) ) )).
fof(cc2_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v2_tops_1(B,A) ) ) ) )).
fof(cc2_trees_3,axiom,( ! [A] : ( v2_trees_3(A) => v1_trees_3(A) ) )).
fof(cc2_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_2(A) ) => ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) ) ) )).
fof(cc2_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) ) ) ) )).
fof(cc2_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v6_pre_topc(B) ) => ( ~ v2_struct_0(B) & ~ v2_tsp_2(B,A) ) ) ) ) )).
fof(cc2_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) => ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) ) )).
fof(cc2_valued_2,axiom,( ! [A] : ( v5_valued_2(A) => v4_valued_2(A) ) )).
fof(cc2_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_vectmetr(B,A) ) => ( v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) ) ) ) ) )).
fof(cc2_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v2_hahnban1(C,A,B) ) ) ) ) )).
fof(cc2_vectsp_1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v5_vectsp_1(A) ) ) ) )).
fof(cc2_vectsp_2,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v4_vectsp_1(A) ) ) ) )).
fof(cc2_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v7_yellow_0(B,A) => ~ v2_struct_0(B) ) ) ) )).
fof(cc2_waybel11,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => ( v12_waybel_0(B,A) & v13_waybel_0(B,A) ) ) ) ) )).
fof(cc2_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v12_waybel_0(B,A) => v1_waybel_6(B,A) ) ) ) )).
fof(cc2_waybel17,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) ) ) ) ) )).
fof(cc2_waybel19,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_waybel19(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) ) )).
fof(cc2_waybel21,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_yellow_0(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_waybel21(C,A,B) => v19_waybel_0(C,A,B) ) ) )).
fof(cc2_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel23(B,A) => v2_waybel23(B,A) ) ) ) )).
fof(cc2_waybel25,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => ( v4_waybel11(B) => v2_waybel18(B) ) ) ) )).
fof(cc2_waybel26,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_pre_topc(k2_borsuk_1(A,B))) => v1_relat_1(C) ) ) )).
fof(cc2_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_monoid_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v1_monoid_0(B) ) ) ) ) )).
fof(cc2_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v24_waybel_0(B) ) ) )).
fof(cc2_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v4_waybel11(A) ) ) ) )).
fof(cc2_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => ( v4_waybel11(B) => v2_pre_topc(B) ) ) ) )).
fof(cc2_waybel33,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v7_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) => ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_waybel33(A) ) ) ) )).
fof(cc2_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v6_waybel34(B,A) => ( v6_yellow_0(B,A) & v7_waybel34(B,A) ) ) ) ) )).
fof(cc2_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & v4_waybel_4(B,A) ) => v1_waybel35(B,A) ) ) ) )).
fof(cc2_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v7_yellow_0(B,A) => v3_waybel_0(B,A) ) ) ) )).
fof(cc2_waybel_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_waybel_1(C,B,A) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) ) ) ) ) )).
fof(cc2_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v2_waybel_1(A) & v10_waybel_1(A) ) ) ) )).
fof(cc2_waybel_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v16_waybel_0(A) & v24_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & v16_waybel_0(A) ) ) ) )).
fof(cc2_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & v3_waybel_4(B,A) & v4_waybel_4(B,A) ) => v5_waybel_4(B,A) ) ) ) )).
fof(cc2_waybel_5,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_waybel_5(A) ) ) ) )).
fof(cc2_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v2_waybel_8(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v24_waybel_0(A) & v1_waybel_8(A) ) ) ) )).
fof(cc2_wellord1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_relat_2(A) & v4_relat_2(A) & v6_relat_2(A) & v8_relat_2(A) & v1_wellord1(A) ) => ( v1_relat_1(A) & v2_wellord1(A) ) ) )).
fof(cc2_xcmplx_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => v1_xcmplx_0(A) ) )).
fof(cc2_xreal_0,axiom,( ! [A] : ( v7_ordinal1(A) => v1_xreal_0(A) ) )).
fof(cc2_xtuple_0,axiom,( ! [A] : ( v3_xtuple_0(A) => v2_xtuple_0(A) ) )).
fof(cc2_xxreal_0,axiom,( ! [A] : ( v7_ordinal1(A) => v1_xxreal_0(A) ) )).
fof(cc2_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v1_finset_1(A) & ~ v1_xboole_0(A) ) => ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) & v2_xxreal_2(A) ) ) )).
fof(cc2_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & ~ v1_xreal_0(A) ) => ( v1_xxreal_0(A) & v3_xxreal_0(A) ) ) )).
fof(cc2_yellow11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v2_yellow11(B,A) ) => v1_waybel_0(B,A) ) ) ) )).
fof(cc2_yellow12,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(C,A) & v1_yellow_8(C,A,B) ) => ( ~ v1_xboole_0(C) & v1_tops_2(C,A) & v1_yellow_8(C,A,B) ) ) ) ) )).
fof(cc2_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) ) ) )).
fof(cc2_yellow14,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v23_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) ) ) ) ) )).
fof(cc2_yellow18,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v4_yellow18(A) ) => ( ~ v2_struct_0(A) & v2_altcat_1(A) & v9_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow18(A) & v3_yellow18(A) ) ) ) )).
fof(cc2_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v4_orders_2(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_yellow_6(C,A,B) => ( v2_yellow_6(C,A,B) => ( v4_orders_2(C) & v2_yellow_6(C,A,B) ) ) ) ) )).
fof(cc2_yellow21,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) ) => ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v4_yellow18(A) & v1_yellow21(A) ) ) ) )).
fof(cc2_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) ) ) ) )).
fof(cc2_yellow_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ~ v1_yellow_3(A) => ~ v2_struct_0(A) ) ) )).
fof(cc2_yellow_6,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m3_yellow_6(C,u1_struct_0(B),A) => v4_waybel_3(C) ) ) )).
fof(cc2_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_yellow_8(B,A) => v1_zfmisc_1(B) ) ) ) )).
fof(cc2_yellow_9,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v3_orders_2(B) ) ) )).
fof(cc2_zfmisc_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc2_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul03(B,A) => v1_finset_1(B) ) ) )).
fof(cc2_zmodul04,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v3_zmodul03(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & v3_zmodul03(A) ) ) ) )).
fof(cc2_zmodul06,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v6_zmodul01(A) & v3_zmodul06(A) ) ) ) )).
fof(cc30_fomodel0,axiom,( ! [A] : ( v1_zfmisc_1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ( v1_relat_1(B) & v1_funct_1(B) & v3_funct_1(B) ) ) ) )).
fof(cc30_fomodel1,axiom,( ! [A] : ( ( v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( l1_fomodel1(B) => ( v16_fomodel1(B,A) => v11_fomodel1(B) ) ) ) )).
fof(cc30_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) ) => ( ~ v2_struct_0(B) & ~ v2_tdlat_3(B) ) ) ) ) )).
fof(cc30_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tex_2(B,A) & v1_tex_3(B,A) ) => ~ v1_tsep_1(B,A) ) ) ) )).
fof(cc30_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) ) => ( v1_relat_1(A) & v3_valued_0(A) ) ) )).
fof(cc30_valued_2,axiom,( ! [A] : ! [B] : ( v3_valued_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_1(C) => ( v1_funct_1(C) & v9_valued_2(C) ) ) ) ) )).
fof(cc31_fomodel0,axiom,( ! [A] : ( v5_fomodel0(A) => v1_funct_1(A) ) )).
fof(cc31_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v16_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v16_monoid_0(B) ) ) ) ) )).
fof(cc31_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tdlat_3(B) ) => ( ~ v2_struct_0(B) & v7_struct_0(B) ) ) ) ) )).
fof(cc31_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tsep_1(B,A) & v1_tex_3(B,A) ) => ~ v1_tex_2(B,A) ) ) ) )).
fof(cc31_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) ) => ( v1_relat_1(A) & v4_valued_0(A) ) ) )).
fof(cc31_valued_2,axiom,( ! [A] : ! [B] : ( v4_valued_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_1(C) => ( v1_funct_1(C) & v10_valued_2(C) ) ) ) ) )).
fof(cc32_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v16_monoid_0(A) & l3_algstr_0(A) ) => ! [B] : ( m3_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v16_monoid_0(B) ) ) ) ) )).
fof(cc32_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) ) => ( ~ v2_struct_0(B) & ~ v1_tdlat_3(B) ) ) ) ) )).
fof(cc32_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tsep_1(B,A) & v1_tex_2(B,A) ) => ~ v1_tex_3(B,A) ) ) ) )).
fof(cc32_valued_2,axiom,( ! [A] : ! [B] : ( v5_valued_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_1(C) => ( v1_funct_1(C) & v11_valued_2(C) ) ) ) ) )).
fof(cc33_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v17_monoid_0(A) & l4_algstr_0(A) ) => ! [B] : ( m3_monoid_0(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v17_monoid_0(B) ) ) ) ) )).
fof(cc33_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tex_2(B,A) ) => ( ~ v2_struct_0(B) & ~ v1_borsuk_1(B,A) & ~ v1_tsep_1(B,A) & v1_tex_2(B,A) ) ) ) ) )).
fof(cc33_valued_2,axiom,( ! [A] : ! [B] : ( v6_valued_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_1(C) => ( v1_funct_1(C) & v12_valued_2(C) ) ) ) ) )).
fof(cc34_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_monoid_0(B,A) => ( ( ~ v2_struct_0(B) & v3_group_1(B) & v13_monoid_0(B) ) => ( ~ v2_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v16_monoid_0(B) ) ) ) ) )).
fof(cc34_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tdlat_3(B) ) => ( ~ v2_struct_0(B) & v7_struct_0(B) & v1_tdlat_3(B) & v1_tex_2(B,A) ) ) ) ) )).
fof(cc34_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) ) )).
fof(cc35_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v4_tex_2(B,A) ) => ( ~ v2_struct_0(B) & v1_tdlat_3(B) ) ) ) ) )).
fof(cc35_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v9_valued_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) ) )).
fof(cc36_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v1_tdlat_3(B) ) => ( ~ v2_struct_0(B) & ~ v4_tex_2(B,A) ) ) ) ) )).
fof(cc36_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v8_valued_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) ) )).
fof(cc37_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v4_tex_2(B,A) => ~ v1_tex_2(B,A) ) ) ) )).
fof(cc38_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tex_2(B,A) => ~ v4_tex_2(B,A) ) ) ) )).
fof(cc39_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v1_tex_2(B,A) => v4_tex_2(B,A) ) ) ) )).
fof(cc3_abcmiz_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_abcmiz_0(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_yellow_0(A) & v1_abcmiz_0(A) ) ) ) )).
fof(cc3_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k4_abcmiz_1) => v2_funct_1(A) ) )).
fof(cc3_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( v2_abcmiz_a(B,A) => v5_abcmiz_1(B,A,k28_abcmiz_1(A)) ) ) ) )).
fof(cc3_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v8_absred_0(A) => v6_absred_0(A) ) ) )).
fof(cc3_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_card_1(B,A) ) => ( v1_relat_1(B) & v4_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_partfun1(B,A) & v1_finset_1(B) & v3_card_1(B,A) ) ) ) )).
fof(cc3_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ( ( v5_algstr_0(A) & v6_algstr_0(A) ) => v7_algstr_0(A) ) ) )).
fof(cc3_algstr_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v4_algstr_1(A) ) => ( ~ v2_struct_0(A) & v2_algstr_1(A) ) ) ) )).
fof(cc3_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => ( v13_struct_0(A,1) => v13_altcat_1(A) ) ) )).
fof(cc3_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) ) => ( ~ v2_struct_0(B) & v11_altcat_1(B) ) ) ) ) )).
fof(cc3_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_xboole_0,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_altcat_5(D,A,C,k1_xboole_0,B) => v2_altcat_5(D,A,k1_xboole_0,B,C) ) ) )).
fof(cc3_altcat_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_xboole_0,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v4_altcat_6(C,A,k1_xboole_0,B) => v6_altcat_3(C,A) ) ) ) )).
fof(cc3_ami_wstd,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) => ~ v3_ami_wstd(C,A,B) ) ) ) )).
fof(cc3_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) => ~ v4_amistd_1(C,A,B) ) ) ) )).
fof(cc3_amistd_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v4_amistd_1(C,A,B) => v4_compos_0(C,u1_compos_1(B)) ) ) ) )).
fof(cc3_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => ! [C] : ( m1_finseq_1(C,u1_struct_0(k7_freealg(A,B))) => v6_trees_3(C) ) ) )).
fof(cc3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_relat_1(D) & m1_msafree(D,A,B) ) => ! [E] : ( m1_subset_1(E,k12_aofa_a00(A,B,C,D)) => ( v1_relat_1(E) & v1_funct_1(E) ) ) ) )).
fof(cc3_aofa_a01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_finseq_1(B,k8_afinsq_1(A)) => v1_funcop_1(B) ) ) )).
fof(cc3_aofa_l00,axiom,( ! [A] : ( v3_ordinal1(A) => ~ v1_xtuple_0(A) ) )).
fof(cc3_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( v8_relat_2(B) & v3_armstrng(B,A) & v4_armstrng(B,A) & v5_armstrng(B,A) ) => v6_armstrng(B,A) ) ) )).
fof(cc3_asympt_0,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & v5_asympt_0(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) ) ) ) )).
fof(cc3_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v20_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v17_bcialg_1(A) ) ) ) )).
fof(cc3_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(B,A) ) ) ) ) )).
fof(cc3_binom,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v6_algstr_0(A) ) ) ) )).
fof(cc3_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_c0sp1(B,A) => v2_c0sp1(B,A) ) ) ) )).
fof(cc3_card_1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_card_1(A) ) )).
fof(cc3_card_3,axiom,( ! [A] : ( v3_card_3(A) => ( v4_funct_1(A) & v2_card_3(A) ) ) )).
fof(cc3_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v5_card_fil(A) ) => ( ~ v1_finset_1(A) & v1_card_1(A) & v2_card_1(A) ) ) )).
fof(cc3_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) ) => ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) ) )).
fof(cc3_cat_7,axiom,( ! [A] : ( l1_cat_6(A) => ( ( v9_cat_6(A) & v10_cat_6(A) & v6_cat_7(A) ) => ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) ) ) ) )).
fof(cc3_catalg_1,axiom,( ! [A] : ! [B] : ( m1_catalg_1(B,A) => v2_catalg_1(B) ) )).
fof(cc3_cayldick,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v12_algstr_0(A) & v2_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) ) ) ) )).
fof(cc3_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_subset_1(B,k4_finseq_1(A)) => ( v7_ordinal1(B) & ~ v1_xboole_0(B) ) ) ) )).
fof(cc3_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_chord(A) ) => ! [C] : ( m2_glib_000(C,A,B,k21_glib_000(A,B)) => v6_chord(C) ) ) )).
fof(cc3_circcmb3,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( ~ v2_struct_0(A) & v4_circcmb3(A) ) => ( ~ v2_struct_0(A) & v5_circcomb(A) ) ) ) )).
fof(cc3_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v6_circcomb(B,A) => ( v4_msualg_1(B,A) & v4_msafree2(B,A) ) ) ) ) )).
fof(cc3_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_msaterm(C,A,B) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(k1_circtrm1(A,B,C))) => ( v1_relat_1(D) & v1_funct_1(D) & v1_finset_1(D) ) ) ) )).
fof(cc3_classes2,axiom,( ! [A] : ( ( v1_ordinal1(A) & v2_classes1(A) ) => v1_classes2(A) ) )).
fof(cc3_clopban3,axiom,( ! [A] : ( l1_clopban2(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) ) ) ) )).
fof(cc3_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure1(B,A) => ( v9_closure1(B,A) => v8_closure1(B,A) ) ) ) )).
fof(cc3_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v4_closure2(C,A,B) => v5_closure2(C,A,B) ) ) ) )).
fof(cc3_cohsp_1,axiom,( ! [A] : ( v1_classes1(A) => v2_finsub_1(A) ) )).
fof(cc3_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v9_pre_topc(A) & v5_compact1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v9_pre_topc(A) & v6_waybel_3(A) ) ) ) )).
fof(cc3_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v2_compos_1(B,A) ) ) ) )).
fof(cc3_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v8_struct_0(A) & v2_pre_topc(A) ) => ( v2_pre_topc(A) & v1_compts_1(A) ) ) ) )).
fof(cc3_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1),k4_ordinal1))) => ( v1_funct_1(A) => ( v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) ) ) ) )).
fof(cc3_comseq_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc3_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_connsp_1(B,A) => v4_pre_topc(B,A) ) ) ) )).
fof(cc3_dblseq_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_seq_2(A) & v6_dblseq_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & v2_dblseq_1(A) & v3_dblseq_1(A) ) ) ) )).
fof(cc3_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_zfmisc_1(B) => v2_dilworth(B,A) ) ) ) )).
fof(cc3_entropy1,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) => ( ( v1_matrix_0(A) & v4_matrprob(A) ) => ( ~ v3_relat_1(A) & v1_matrix_0(A) ) ) ) )).
fof(cc3_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => v3_valued_0(B) ) ) )).
fof(cc3_euclid_7,axiom,( ! [A] : ( v3_euclid_7(A) => ( v1_euclid_7(A) & v2_euclid_7(A) ) ) )).
fof(cc3_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_exchsort(A,k5_numbers) ) ) )).
fof(cc3_facirc_1,axiom,( ! [A] : ( v1_xboole_0(A) => ~ v1_facirc_1(A) ) )).
fof(cc3_facirc_2,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_facirc_1(A) ) ) )).
fof(cc3_fcont_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_funct_1(A) & v2_fcont_1(A) ) ) ) )).
fof(cc3_filter_0,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v3_filter_0(A) ) ) ) )).
fof(cc3_finseq_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => v5_relat_1(B,A) ) )).
fof(cc3_finseq_2,axiom,( ! [A] : ! [B] : ( m1_finseq_2(B,A) => v3_finseq_1(B) ) )).
fof(cc3_finset_1,axiom,( ! [A] : ! [B] : ( v1_finset_1(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,A,B) & v1_finset_1(C) ) ) ) ) )).
fof(cc3_finsub_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(A)) => v1_finset_1(B) ) )).
fof(cc3_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v3_fintopo6(B,A) ) ) ) )).
fof(cc3_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_finseq_2(1,A))) => v3_fomodel0(B,A) ) ) )).
fof(cc3_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v6_fomodel1(B,A) => v8_fomodel1(B,A) ) ) ) )).
fof(cc3_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) ) ) )).
fof(cc3_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k37_fomodel1(A)) => v10_fomodel1(B,A) ) ) )).
fof(cc3_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v3_fomodel4(B,A) => v1_finset_1(B) ) ) )).
fof(cc3_frechet,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_frechet(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_frechet(A) ) ) ) )).
fof(cc3_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) ) )).
fof(cc3_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_funct_1(B) ) ) )).
fof(cc3_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_2(C,A,B) => v1_partfun1(C,A) ) ) ) )).
fof(cc3_funct_7,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funct_7(A) ) ) )).
fof(cc3_funct_8,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v4_funct_8(C,A,B) ) => ( v1_funct_1(C) & v2_funct_8(C) & v3_funct_8(C,A,B) ) ) ) ) )).
fof(cc3_functor0,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( l1_functor0(C,A,B) => ( v10_functor0(C,A,B) => v6_functor0(C,A,B) ) ) ) )).
fof(cc3_functor2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( ( v10_functor0(C,A,B) & v13_functor0(C,A,B) ) => v15_functor0(C,A,B) ) ) ) )).
fof(cc3_fvaluat1,axiom,( ! [A] : ( ( v1_xreal_0(A) & v1_fvaluat1(A) ) => v1_int_1(A) ) )).
fof(cc3_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ( v1_xcmplx_0(A) & v1_gaussint(A) & v4_gaussint(A) ) ) )).
fof(cc3_gcd_1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_vectsp_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v5_vectsp_1(A) ) ) ) )).
fof(cc3_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) & v5_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v7_glib_000(A) ) ) )).
fof(cc3_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) => v6_glib_001(B,A) ) ) ) )).
fof(cc3_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_002(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v7_glib_000(A) ) ) )).
fof(cc3_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ( v1_xboole_0(B) => v7_graph_1(B,A) ) ) ) )).
fof(cc3_grnilp_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) ) => ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_grnilp_1(A) ) ) ) )).
fof(cc3_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => v8_struct_0(B) ) ) )).
fof(cc3_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_group_7(k1_tarski(1),k9_finseq_1(A)))) => v1_finseq_1(B) ) ) )).
fof(cc3_groupp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l3_algstr_0(B) => ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_groupp_1(B,A) ) => ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v2_group_10(B,A) & v2_groupp_1(B,A) ) ) ) ) )).
fof(cc3_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v5_hahnban(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v4_hahnban(B,A) ) ) ) ) )).
fof(cc3_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v5_hahnban1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v7_hahnban1(B,k1_complfld,A) ) ) ) ) )).
fof(cc3_hallmar1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m4_hallmar1(C,A,B) => ~ v1_xboole_0(C) ) ) )).
fof(cc3_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ( ~ v3_glib_001(B,A) & v5_glib_001(B,A) ) => ( ~ v1_glib_001(B,A) & v5_glib_001(B,A) ) ) ) ) )).
fof(cc3_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v1_bilinear(B,k1_complfld,A,A) & v3_hermitan(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v2_bilinear(B,k1_complfld,A,A) ) ) ) ) )).
fof(cc3_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => v1_finseq_1(A) ) )).
fof(cc3_instalg1,axiom,( ! [A] : ( l1_msualg_1(A) => ( v11_struct_0(A) => v1_instalg1(A) ) ) )).
fof(cc3_int_1,axiom,( ! [A] : ( v1_int_1(A) => v1_xreal_0(A) ) )).
fof(cc3_int_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_int_2(A) ) ) )).
fof(cc3_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( m1_int_6(B,A) => v5_relat_1(B,k4_numbers) ) ) )).
fof(cc3_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_subset_1(B,k1_integra1(A)) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc3_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => v1_finseq_1(A) ) )).
fof(cc3_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_isomichi(B,A) & v2_isomichi(B,A) ) => v4_tops_1(B,A) ) ) ) )).
fof(cc3_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ~ v9_rltopsp1(B,k15_euclid(A)) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc3_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_jordan23(A) ) ) )).
fof(cc3_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) ) ) ) )).
fof(cc3_lattice2,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) ) ) ) )).
fof(cc3_lattice6,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v2_lattice6(A) ) ) ) )).
fof(cc3_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & v1_filter_0(B,A) ) => ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & v2_latticea(B,A) ) ) ) ) )).
fof(cc3_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v13_lattices(A) & v14_lattices(A) ) => ( ~ v2_struct_0(A) & v15_lattices(A) ) ) ) )).
fof(cc3_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_lexbfs(B,A) => ( v4_lexbfs(B,A) => ( v13_glib_000(B) & v2_lexbfs(B) ) ) ) ) )).
fof(cc3_lfuzzy_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_xreal_0(B) ) ) )).
fof(cc3_lopban_3,axiom,( ! [A] : ( l1_lopban_2(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) ) ) ) )).
fof(cc3_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [B] : ( m1_subset_1(B,k8_ltlaxio4(A)) => ~ v2_ltlaxio3(B) ) ) )).
fof(cc3_margrel1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) => ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) ) => ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & v1_margrel1(B) ) ) ) )).
fof(cc3_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v8_struct_0(A) => v4_matroid0(A) ) ) )).
fof(cc3_matrprob,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) => ( ( v1_matrix_0(A) & v6_matrprob(A) ) => ( v1_matrix_0(A) & v2_matrprob(A) & v5_matrprob(A) ) ) ) )).
fof(cc3_matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B))))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B))) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B))) & v1_pre_poly(C) ) ) ) ) )).
fof(cc3_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => ! [E] : ( m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) => v3_xtuple_0(E) ) ) )).
fof(cc3_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( v2_finsub_1(B) & v1_prob_1(B,A) ) => v3_finsub_1(B) ) ) )).
fof(cc3_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v3_measure5(A) => v6_xxreal_2(A) ) ) )).
fof(cc3_membered,axiom,( ! [A] : ( v4_membered(A) => v3_membered(A) ) )).
fof(cc3_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => v5_topgen_4(B,A) ) ) ) )).
fof(cc3_mfold_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_mfold_1(A,k5_numbers) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) ) ) )).
fof(cc3_mmlquer2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) ) => ( v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & v1_wellord1(B) ) ) ) ) )).
fof(cc3_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_mod_4(C,A,B) ) => ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_ringcat1(C,A,B) ) ) ) ) )).
fof(cc3_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k5_moebius2(A)) => ~ v1_xboole_0(B) ) ) )).
fof(cc3_monoid_0,axiom,( ! [A] : ( ( v2_monoid_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_finseq_1(B) ) ) )).
fof(cc3_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) => ( v1_relat_1(D) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) ) ) ) )).
fof(cc3_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => v3_trees_9(C) ) ) )).
fof(cc3_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B))) ) => ! [E] : ( m1_subset_1(E,k1_funct_1(C,D)) => ( v1_relat_1(E) & v1_funct_1(E) ) ) ) )).
fof(cc3_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_msafree5(A) ) => ( v1_relat_1(A) & v2_relat_1(A) ) ) )).
fof(cc3_msscyc_1,axiom,( ! [A] : ( l1_graph_1(A) => ( ( ~ v2_struct_0(A) & v11_struct_0(A) ) => ( ~ v2_struct_0(A) & v3_msscyc_1(A) ) ) ) )).
fof(cc3_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v2_mssubfam(C,A,B) => v1_mssubfam(C,A,B) ) ) ) )).
fof(cc3_msualg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ( v2_msualg_4(C,A,B) & v2_msualg_6(C,A,B) ) => ( v2_msualg_4(C,A,B) & v3_msualg_6(C,A,B) ) ) ) ) )).
fof(cc3_mycielsk,axiom,( ! [A] : ( m1_mycielsk(A,k5_numbers) => v2_struct_0(A) ) )).
fof(cc3_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v7_ordinal1(A) & ~ v3_xxreal_0(A) ) ) )).
fof(cc3_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_ec_pf_2(B,k2_xcmplx_0(A,1)) ) => ( v7_ordinal1(B) & v1_ec_pf_2(B,A) ) ) ) )).
fof(cc3_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,k6_nat_lat) => ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) ) )).
fof(cc3_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => v4_nattra_1(B) ) ) )).
fof(cc3_neckla_3,axiom,( ! [A] : ( ( v3_necklace(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v4_yellow_0(B,A) => ( v4_yellow_0(B,A) & v3_necklace(B) ) ) ) ) )).
fof(cc3_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) => ( ( v1_xboole_0(B) & v1_funct_1(B) ) => ( v1_funct_1(B) & v2_nfcont_3(B,A) ) ) ) ) )).
fof(cc3_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) => ( ( v1_xboole_0(B) & v1_funct_1(B) ) => ( v1_funct_1(B) & v2_nfcont_4(B,A) ) ) ) ) )).
fof(cc3_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v4_normsp_3(C,A,B) ) => ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) ) ) ) ) )).
fof(cc3_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_ec_pf_2(A,4) ) => ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_ec_pf_2(A,3) ) ) )).
fof(cc3_oposet_1,axiom,( ! [A] : ( l2_qmax_1(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) => ( ~ v2_struct_0(A) & v6_oposet_1(A) ) ) ) )).
fof(cc3_orders_4,axiom,( ! [A] : ( m1_orders_4(A) => ( ~ v2_struct_0(A) => ( ~ v2_struct_0(A) & v16_waybel_0(A) ) ) ) )).
fof(cc3_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => v3_ordinal1(A) ) )).
fof(cc3_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_ordinal5(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v3_ordinal5(A) ) ) )).
fof(cc3_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v2_ordinal6(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) ) )).
fof(cc3_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => v7_osalg_1(B,A) ) ) )).
fof(cc3_osalg_4,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_orders_3(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_osalg_4(A) ) ) ) )).
fof(cc3_partfun1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_relat_2(A) & v8_relat_2(A) ) => ( v1_relat_1(A) & v1_relat_2(A) ) ) )).
fof(cc3_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => v1_funcop_1(D) ) ) )).
fof(cc3_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => ( v4_pcs_0(A) => v3_pcs_0(A) ) ) )).
fof(cc3_pencil_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v15_pencil_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v4_waybel_3(A) & v11_pencil_1(A) ) ) )).
fof(cc3_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) ) ) ) ) )).
fof(cc3_poset_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_poset_2(A) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) ) )).
fof(cc3_pre_poly,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k3_finseq_2(A)) => v1_pre_poly(B) ) )).
fof(cc3_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v11_pre_topc(A) => ( v7_pre_topc(A) & v9_pre_topc(A) ) ) ) )).
fof(cc3_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( v2_struct_0(A) => v7_prefer_1(A) ) ) )).
fof(cc3_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_prvect_1(B,A) => v1_funcop_1(B) ) ) )).
fof(cc3_pua2mss1,axiom,( ! [A] : ! [B] : ( m2_pua2mss1(B,A) => ( v2_relat_1(B) & v2_funct_1(B) ) ) )).
fof(cc3_quantal1,axiom,( ! [A] : ( l2_quantal1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v9_quantal1(A) & v10_quantal1(A) ) ) ) )).
fof(cc3_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_ratfunc1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v2_ratfunc1(B,A) ) ) ) ) )).
fof(cc3_rcomp_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_topalg_2))) => ( v6_xxreal_2(A) => v2_connsp_1(A,k2_topalg_2) ) ) )).
fof(cc3_relat_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v3_relat_1(A) ) ) )).
fof(cc3_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_2(A) & v8_relat_2(A) ) => ( v1_relat_1(A) & v5_relat_2(A) ) ) )).
fof(cc3_relset_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v1_xboole_0(C) ) ) )).
fof(cc3_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_2(A) & v1_rewrite1(A) ) => ( v1_relat_1(A) & v3_rewrite1(A) ) ) )).
fof(cc3_rfunct_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & ~ v1_rfunct_2(A) ) => ( v1_funct_1(A) & ~ v7_valued_0(A) & ~ v8_valued_0(A) ) ) ) )).
fof(cc3_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_ring_1(B,A) => ( v1_subset_1(B,u1_struct_0(A)) & v3_ring_1(B,A) ) ) ) ) )).
fof(cc3_ring_2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_gcd_1(B,A) => ( ~ v9_struct_0(B,A) & v1_gcd_1(B,A) ) ) ) ) )).
fof(cc3_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_xboole_0(B) => v2_rlaffin1(B,A) ) ) ) )).
fof(cc3_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v9_rltopsp1(B,A) ) ) ) )).
fof(cc3_rlvect_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v12_algstr_0(A) ) ) ) )).
fof(cc3_robbins1,axiom,( ! [A] : ( l2_robbins1(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v5_robbins1(A) & v9_robbins1(A) ) => ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v5_robbins1(A) & v6_robbins1(A) ) ) ) )).
fof(cc3_robbins2,axiom,( ! [A] : ( l2_robbins1(A) => ( ( ~ v2_struct_0(A) & v1_robbins2(A) ) => ( ~ v2_struct_0(A) & v5_robbins1(A) ) ) ) )).
fof(cc3_robbins3,axiom,( ! [A] : ( l2_qmax_1(A) => ( ( ~ v2_struct_0(A) & v6_oposet_1(A) & v10_oposet_1(A) ) => ( ~ v2_struct_0(A) & v1_oposet_1(A) & v6_oposet_1(A) ) ) ) )).
fof(cc3_robbins4,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) ) ) ) )).
fof(cc3_roughs_1,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_3(A) => v1_roughs_1(A) ) ) )).
fof(cc3_roughs_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_roughs_2(A) => v2_orders_2(A) ) ) )).
fof(cc3_roughs_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v12_roughs_4(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v11_roughs_4(B,A) ) ) ) )).
fof(cc3_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scm_halt(A) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) ) )).
fof(cc3_scmyciel,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_scmyciel(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => v3_scmyciel(C,A) ) ) )).
fof(cc3_seq_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v3_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc3_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_seqm_3(A) & v1_comseq_2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) ) ) ) )).
fof(cc3_seqm_3,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => v4_valued_0(A) ) )).
fof(cc3_setfam_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) ) => ~ v2_setfam_1(A) ) )).
fof(cc3_sheffer1,axiom,( ! [A] : ( l1_sheffer1(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) ) ) ) )).
fof(cc3_simplex0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) ) => ~ v1_setfam_1(A) ) )).
fof(cc3_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ( v4_simplex0(B) => v2_simplex1(B,A) ) ) ) )).
fof(cc3_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_simplex0(B,u1_struct_0(k15_euclid(A))) => ( v2_simplex2(B,A) => v1_simplex2(B,k14_euclid(A)) ) ) ) )).
fof(cc3_sppol_2,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v4_topreal1(A) => ~ v1_xboole_0(A) ) ) )).
fof(cc3_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v2_srings_1(B,A) => v3_srings_1(B,A) ) ) )).
fof(cc3_struct_0,axiom,( ! [A] : ( l4_struct_0(A) => ( ~ v6_struct_0(A) => ~ v7_struct_0(A) ) ) )).
fof(cc3_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_xboole_0(B) => v1_subset_1(B,A) ) ) ) )).
fof(cc3_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_finset_1(B) => v6_tbsp_1(B,A) ) ) ) )).
fof(cc3_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_tdlat_3(A) => v3_tdlat_3(A) ) ) )).
fof(cc3_tex_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) ) => ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v2_pre_topc(A) ) ) ) )).
fof(cc3_tex_2,axiom,( ! [A] : ( v3_card_1(A,1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ( ~ v1_xboole_0(B) & ~ v1_subset_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_zfmisc_1(B) ) ) ) ) )).
fof(cc3_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_borsuk_1(B,A) & v1_tex_2(B,A) ) => ~ v1_tex_3(B,A) ) ) ) )).
fof(cc3_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tsep_1(B,A) & v2_tdlat_3(B) ) => ( ~ v2_struct_0(B) & v4_tex_4(B,A) ) ) ) ) )).
fof(cc3_topalg_2,axiom,( ! [A] : ( m1_pre_topc(A,k2_topalg_2) => ( ( ~ v2_struct_0(A) & v2_topalg_2(A) ) => ( ~ v2_struct_0(A) & v1_borsuk_2(A) ) ) ) )).
fof(cc3_topalg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => v5_pre_topc(C,k5_topmetr,A) ) ) )).
fof(cc3_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_topalg_6(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & v1_topalg_6(A) ) ) ) )).
fof(cc3_topdim_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_struct_0(A) & v2_pre_topc(A) ) => ( v2_pre_topc(A) & v3_topdim_1(A) ) ) ) )).
fof(cc3_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) & v2_topgen_1(B,A) ) => v5_topgen_1(B,A) ) ) ) )).
fof(cc3_topgen_4,axiom,( ! [A] : ( ~ v1_finset_1(A) => ~ v1_zfmisc_1(A) ) )).
fof(cc3_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_tops_2(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_t_0topsp(C,A,B) ) ) ) ) )).
fof(cc3_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ~ v2_sppol_1(A) => ~ v1_xboole_0(A) ) ) )).
fof(cc3_topreala,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) ) ) ) ) )).
fof(cc3_toprealc,axiom,( ! [A] : ( ( v2_pre_topc(A) & v2_toprealc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v2_toprealc(B) ) ) )).
fof(cc3_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v3_tops_1(B,A) ) ) ) )).
fof(cc3_trees_3,axiom,( ! [A] : ( v1_trees_3(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_trees_3(B) ) ) )).
fof(cc3_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v2_trees_9(A) ) ) )).
fof(cc3_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) ) ) ) )).
fof(cc3_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tsp_2(B,A) => v1_tex_3(B,A) ) ) ) )).
fof(cc3_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) => ( v1_relat_1(A) & v3_valued_0(A) ) ) )).
fof(cc3_valued_2,axiom,( ! [A] : ( v4_valued_2(A) => v3_valued_2(A) ) )).
fof(cc3_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) => ( ( v1_funct_1(C) & v1_zfmisc_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) ) => ( v1_funct_1(C) & v3_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) ) ) ) ) )).
fof(cc3_vectsp_1,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v3_vectsp_1(A) & v6_vectsp_1(A) ) ) ) )).
fof(cc3_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v8_yellow_0(B,A) => ~ v2_struct_0(B) ) ) ) )).
fof(cc3_waybel11,axiom,( ! [A] : ( ( v13_struct_0(A,1) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v13_waybel_0(B,A) ) ) )).
fof(cc3_waybel17,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v22_waybel_0(C,A,B) ) ) ) ) )).
fof(cc3_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v1_yellow_0(B) ) ) )).
fof(cc3_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel23(B,A) => v2_waybel_0(B,A) ) ) ) )).
fof(cc3_waybel25,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))) & v5_pre_topc(C,k1_waybel25(A),k1_waybel25(B)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))) & v5_orders_3(C,k1_waybel25(A),k1_waybel25(B)) ) ) ) ) )).
fof(cc3_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => ( v4_waybel11(B) => v2_pre_topc(B) ) ) ) )).
fof(cc3_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v7_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) => ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) ) ) ) )).
fof(cc3_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v24_waybel_0(B) ) ) )).
fof(cc3_waybel33,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v25_waybel_0(B) ) ) )).
fof(cc3_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v8_yellow_0(B,A) => v4_waybel_0(B,A) ) ) ) )).
fof(cc3_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(B,A) ) ) ) ) )).
fof(cc3_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v1_waybel_2(A) ) ) ) )).
fof(cc3_waybel_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v13_struct_0(A,1) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v3_orders_2(A) & v2_waybel_3(A) ) ) ) )).
fof(cc3_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) ) => v8_relat_2(B) ) ) ) )).
fof(cc3_waybel_5,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_waybel_5(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) ) ) ) )).
fof(cc3_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_8(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_8(A) ) ) ) )).
fof(cc3_xcmplx_0,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => v1_xcmplx_0(A) ) )).
fof(cc3_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xcmplx_0(A) ) )).
fof(cc3_xxreal_0,axiom,( ! [A] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) ) => ( ~ v8_ordinal1(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) ) ) )).
fof(cc3_xxreal_2,axiom,( ! [A] : ( ( v6_membered(A) & ~ v1_xboole_0(A) ) => ( v6_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) ) ) )).
fof(cc3_yellow11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v2_yellow11(B,A) ) => v2_waybel_0(B,A) ) ) ) )).
fof(cc3_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v8_struct_0(A) & v2_pre_topc(A) ) => ( v2_pre_topc(A) & v1_compts_1(A) ) ) ) )).
fof(cc3_yellow14,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => v3_yellow_0(A) ) ) )).
fof(cc3_yellow18,axiom,( ! [A] : ( l2_altcat_1(A) => ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v9_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow18(A) & v3_yellow18(A) ) => ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v4_yellow18(A) ) ) ) )).
fof(cc3_yellow21,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_wellord1(A) ) => ( v1_relat_1(A) & v1_wellord1(A) & v1_relat_2(A) & v4_relat_2(A) & v6_relat_2(A) & v8_relat_2(A) ) ) )).
fof(cc3_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_lattice3(A) ) => ( ~ v2_struct_0(A) & v3_yellow_0(A) ) ) ) )).
fof(cc3_yellow_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) ) => ~ v1_yellow_3(A) ) ) )).
fof(cc3_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ! [C] : ( m3_yellow_6(C,A,B) => v4_waybel_3(C) ) ) )).
fof(cc3_yellow_9,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v4_orders_2(B) ) ) )).
fof(cc3_zmodul04,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & v3_zmodul03(A) ) ) ) )).
fof(cc3_zmodul06,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v3_zmodul06(A) ) ) ) )).
fof(cc40_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v4_tex_2(B,A) => v1_tex_2(B,A) ) ) ) )).
fof(cc41_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v4_tex_2(B,A) ) => ( ~ v2_struct_0(B) & v7_struct_0(B) ) ) ) ) )).
fof(cc42_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) ) => ( ~ v2_struct_0(B) & ~ v4_tex_2(B,A) ) ) ) ) )).
fof(cc43_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v7_struct_0(B) ) => ( ~ v2_struct_0(B) & v4_tex_2(B,A) ) ) ) ) )).
fof(cc44_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v4_tex_2(B,A) ) => ( ~ v2_struct_0(B) & ~ v7_struct_0(B) ) ) ) ) )).
fof(cc45_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v4_tex_2(B,A) ) => ( ~ v2_struct_0(B) & v1_tex_2(B,A) ) ) ) ) )).
fof(cc46_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & ~ v1_tex_2(B,A) ) => ( ~ v2_struct_0(B) & ~ v4_tex_2(B,A) ) ) ) ) )).
fof(cc47_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v2_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v4_tex_2(B,A) ) => ( ~ v2_struct_0(B) & ~ v7_struct_0(B) ) ) ) ) )).
fof(cc48_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v2_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v7_struct_0(B) ) => ( ~ v2_struct_0(B) & ~ v4_tex_2(B,A) ) ) ) ) )).
fof(cc4_abcmiz_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_abcmiz_0(A) ) ) ) )).
fof(cc4_abcmiz_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( v1_instalg1(A) & v1_abcmiz_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) ) ) ) )).
fof(cc4_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v4_abcmiz_a(B,A) => v2_abcmiz_1(B,A) ) ) ) )).
fof(cc4_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v8_absred_0(A) => v7_absred_0(A) ) ) )).
fof(cc4_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_valued_0(A) ) ) )).
fof(cc4_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ( v7_algstr_0(A) => ( v5_algstr_0(A) & v6_algstr_0(A) ) ) ) )).
fof(cc4_algstr_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) => ( ~ v2_struct_0(A) & v1_algstr_1(A) & v4_algstr_1(A) ) ) ) )).
fof(cc4_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => ( v13_altcat_1(A) => v2_altcat_1(A) ) ) )).
fof(cc4_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) ) => ( ~ v2_struct_0(B) & v12_altcat_1(B) ) ) ) ) )).
fof(cc4_altcat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_xboole_0,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v5_altcat_5(C,A,k1_xboole_0,B) => v7_altcat_3(C,A) ) ) ) )).
fof(cc4_ami_wstd,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v5_ami_wstd(C,A,B) ) ) ) )).
fof(cc4_amistd_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v4_amistd_1(C,A,B) => v3_amistd_2(C,A,B) ) ) ) )).
fof(cc4_aofa_000,axiom,( ! [A] : ( l1_unialg_1(A) => ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) ) => ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & ~ v10_aofa_000(A) & v11_aofa_000(A) ) ) ) )).
fof(cc4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_relat_1(D) & m1_msafree(D,A,B) ) => ! [E] : ( m1_subset_1(E,k12_aofa_a00(A,B,C,D)) => ( v4_relat_1(E,u1_struct_0(A)) & v1_funcop_1(E) ) ) ) )).
fof(cc4_aofa_l00,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( m1_subset_1(B,A) => v1_xtuple_0(B) ) ) )).
fof(cc4_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( v3_armstrng(B,A) & v4_armstrng(B,A) ) => v7_armstrng(B,A) ) ) )).
fof(cc4_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v13_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v16_bcialg_1(A) ) ) ) )).
fof(cc4_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_2(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(B,A) ) ) ) ) )).
fof(cc4_card_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => v1_finset_1(A) ) )).
fof(cc4_card_3,axiom,( ! [A] : ( v5_card_3(A) => ( ~ v1_finset_1(A) & v4_card_3(A) ) ) )).
fof(cc4_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v6_card_fil(A) ) => ( ~ v1_finset_1(A) & v1_card_1(A) & v1_card_5(A) & v5_card_fil(A) ) ) )).
fof(cc4_cat_7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(A) ) => ! [B] : ( l1_cat_6(B) => ( ( v9_cat_6(B) & v10_cat_6(B) & v7_cat_7(B,A) ) => ( ~ v2_struct_0(B) & v9_cat_6(B) & v10_cat_6(B) ) ) ) ) )).
fof(cc4_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_catalg_1(B,A) => ~ v2_struct_0(B) ) ) )).
fof(cc4_cayldick,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v2_vectsp_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v1_vectsp_1(A) & v5_group_1(A) ) ) ) )).
fof(cc4_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( m1_subset_1(B,k10_cgames_1(A)) => v2_cgames_1(B) ) ) )).
fof(cc4_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_chord(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc4_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( ( v4_msafree2(B,A) & v5_circcmb3(B,A) ) => ( v3_msualg_1(B,A) & v4_msualg_1(B,A) & v4_msafree2(B,A) ) ) ) ) )).
fof(cc4_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_msaterm(C,A,B) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(k1_circtrm1(A,B,C))) => v3_trees_2(D) ) ) )).
fof(cc4_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure1(B,A) => ( v9_closure1(B,A) => v10_closure1(B,A) ) ) ) )).
fof(cc4_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v5_closure2(C,A,B) => ~ v1_xboole_0(C) ) ) ) )).
fof(cc4_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & v3_cohsp_1(A) ) ) )).
fof(cc4_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_compact1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_compact1(A) ) ) ) )).
fof(cc4_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v2_compos_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v4_compos_1(B,A) ) ) ) )).
fof(cc4_compts_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_finset_1(B) => v2_compts_1(B,A) ) ) ) )).
fof(cc4_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1),k4_ordinal1))) => ( ( v1_funct_1(A) & v3_margrel1(A,k4_ordinal1) ) => ( v1_funct_1(A) & v2_comput_1(A) ) ) ) )).
fof(cc4_comseq_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_3(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) ) ) ) )).
fof(cc4_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v2_connsp_1(B,A) ) ) ) )).
fof(cc4_dblseq_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v2_seq_2(A) & v7_dblseq_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & v2_dblseq_1(A) & v3_dblseq_1(A) ) ) ) )).
fof(cc4_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ( v8_struct_0(A) => v3_dilworth(A) ) ) )).
fof(cc4_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => v3_card_1(B,A) ) ) )).
fof(cc4_euclid_7,axiom,( ! [A] : ( ( v1_euclid_7(A) & v2_euclid_7(A) ) => v3_euclid_7(A) ) )).
fof(cc4_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_exchsort(A,1) ) ) )).
fof(cc4_facirc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_facirc_1(A) ) => v1_xboole_0(A) ) )).
fof(cc4_fcont_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v3_funct_1(A) ) => ( v1_funct_1(A) & v2_fcont_1(A) ) ) ) )).
fof(cc4_filter_0,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) ) ) ) )).
fof(cc4_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_finseq_1(A) ) ) )).
fof(cc4_finset_1,axiom,( ! [A] : ( v1_zfmisc_1(A) => v1_finset_1(A) ) )).
fof(cc4_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,B) ) => ( v1_relat_1(C) & v5_relat_1(C,A) ) ) ) )).
fof(cc4_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v4_fomodel1(B,A) => v8_fomodel1(B,A) ) ) ) )).
fof(cc4_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v9_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( m1_fomodel2(D,A,B,C) => ~ v1_xboole_0(D) ) ) )).
fof(cc4_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & ~ v7_fomodel1(C,A) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( m1_fomodel2(E,A,B,C) => ( v2_fomodel3(E,A,B,C,D) => v1_fomodel3(E,k9_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C))),D) ) ) ) )).
fof(cc4_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => v3_fomodel4(C,A) ) ) )).
fof(cc4_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(A,C)))) => ( ( v1_funct_1(D) & v1_funct_2(D,B,k9_funct_2(A,C)) ) => ( v1_funct_1(D) & v1_funct_2(D,B,k9_funct_2(A,C)) & v1_funcop_1(D) ) ) ) ) )).
fof(cc4_funct_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) ) )).
fof(cc4_funct_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v1_funct_2(B,A,A) => v1_partfun1(B,A) ) ) )).
fof(cc4_funct_7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_funct_7(B,A) => ( v2_relat_1(B) & v1_funct_7(B) ) ) ) )).
fof(cc4_funct_8,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v2_funct_8(C) & v5_funct_8(C,A,B) ) => ( v1_funct_1(C) & v6_funct_8(C,A,B) ) ) ) ) )).
fof(cc4_functor0,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( l1_functor0(C,A,B) => ( v11_functor0(C,A,B) => v6_functor0(C,A,B) ) ) ) )).
fof(cc4_functor2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( v16_functor0(C,A,B) => ( v11_functor0(C,A,B) & v14_functor0(C,A,B) ) ) ) ) )).
fof(cc4_gaussint,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k11_gaussint)) => v1_rat_1(A) ) )).
fof(cc4_gcd_1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) ) ) ) )).
fof(cc4_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) & v6_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v8_glib_000(A) ) ) )).
fof(cc4_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v6_glib_001(B,A) => v5_glib_001(B,A) ) ) ) )).
fof(cc4_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_002(A) & v2_glib_002(A) ) ) )).
fof(cc4_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_glib_000(B,A) => ( ( v1_glib_003(B) & v4_glib_003(B,A) ) => ( v1_glib_003(B) & v4_glib_003(B,A) & v7_glib_003(B) ) ) ) ) )).
fof(cc4_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k4_card_3(k12_pralg_1(k2_tarski(1,2),k10_finseq_1(A,B)))) => v1_finseq_1(C) ) ) )).
fof(cc4_groupp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l3_algstr_0(B) => ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v2_group_10(B,A) & v2_groupp_1(B,A) ) => ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_groupp_1(B,A) ) ) ) ) )).
fof(cc4_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v5_hahnban(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v7_hahnban(B,A) ) ) ) ) )).
fof(cc4_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v2_bilinear(B,k1_complfld,A,A) & v3_hermitan(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v1_bilinear(B,k1_complfld,A,A) ) ) ) ) )).
fof(cc4_instalg1,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( v2_struct_0(A) & v1_instalg1(A) ) => v11_struct_0(A) ) ) )).
fof(cc4_int_1,axiom,( ! [A] : ( v7_ordinal1(A) => v2_int_1(A) ) )).
fof(cc4_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_subset_1(B,k1_integra1(A)) => ( v1_finseq_1(B) & v3_valued_0(B) ) ) ) )).
fof(cc4_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_isomichi(B,A) => v1_decomp_1(B,A) ) ) ) )).
fof(cc4_jordan,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v9_rltopsp1(B,k15_euclid(A)) => v1_subset_1(B,u1_struct_0(k15_euclid(A))) ) ) ) )).
fof(cc4_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_jordan23(A) ) ) )).
fof(cc4_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => ( ~ v2_struct_0(A) & v7_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) ) ) )).
fof(cc4_lattice2,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) ) ) ) )).
fof(cc4_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & v3_latticea(B,A) ) => ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & v1_filter_2(B,A) ) ) ) ) )).
fof(cc4_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v15_lattices(A) ) => ( ~ v2_struct_0(A) & v13_lattices(A) & v14_lattices(A) ) ) ) )).
fof(cc4_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_lfuzzy_0(A) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) ) )).
fof(cc4_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [B] : ( m1_subset_1(B,k9_ltlaxio4(A)) => ~ v2_ltlaxio3(B) ) ) )).
fof(cc4_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_tdlat_3(A) => ( v1_tdlat_3(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) ) ) ) )).
fof(cc4_matrprob,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) => ( ( v1_matrix_0(A) & v2_matrprob(A) & v5_matrprob(A) ) => ( v1_matrix_0(A) & v6_matrprob(A) ) ) ) )).
fof(cc4_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v13_vectsp_1(B,k15_euclid(A),k15_euclid(A)) & v1_topreal9(B,A) & v3_tops_2(B,k15_euclid(A),k15_euclid(A)) & v2_matrtop3(B,A) ) ) ) ) )).
fof(cc4_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( v1_prob_1(B,A) & v4_prob_1(B,A) ) => v3_measure1(B,A) ) ) )).
fof(cc4_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v4_measure5(A) => v6_xxreal_2(A) ) ) )).
fof(cc4_membered,axiom,( ! [A] : ( v3_membered(A) => v2_membered(A) ) )).
fof(cc4_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) => v6_topgen_4(B,A) ) ) ) )).
fof(cc4_mfold_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_mfold_1(A,k5_numbers) ) ) ) )).
fof(cc4_mmlquer2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) ) => ( v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & v2_wellord1(B) ) ) ) ) )).
fof(cc4_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_ringcat1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_mod_4(C,A,B) ) ) ) ) )).
fof(cc4_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_moebius2(A))) => ~ v8_ordinal1(B) ) ) )).
fof(cc4_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) ) => ( ~ v2_struct_0(A) & v13_monoid_0(A) ) ) ) )).
fof(cc4_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) => ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) ) ) ) )).
fof(cc4_msafree3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) ) )).
fof(cc4_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( l3_msualg_1(C,A) => ( v4_msafree4(C,A,B) => v4_msualg_1(C,A) ) ) ) )).
fof(cc4_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v6_msafree5(A) ) => ( v1_relat_1(A) & v5_msafree5(A) ) ) )).
fof(cc4_msscyc_1,axiom,( ! [A] : ( l1_graph_1(A) => ( ( ~ v2_struct_0(A) & ~ v3_msscyc_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) ) ) ) )).
fof(cc4_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v4_mssubfam(C,A,B) => v3_mssubfam(C,A,B) ) ) ) )).
fof(cc4_msualg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v2_msualg_4(C,A,B) => v2_relat_1(C) ) ) ) )).
fof(cc4_mycielsk,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_mycielsk(B,A) => ~ v2_struct_0(B) ) ) )).
fof(cc4_nat_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v8_ordinal1(A) ) => ( v7_ordinal1(A) & ~ v2_xxreal_0(A) ) ) )).
fof(cc4_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_nat_6(B,k2_xcmplx_0(A,1)) ) => ( v7_ordinal1(B) & v1_nat_6(B,A) ) ) ) )).
fof(cc4_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) ) )).
fof(cc4_neckla_3,axiom,( ! [A] : ( ( v1_necklace(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v4_yellow_0(B,A) => ( v4_yellow_0(B,A) & v1_necklace(B) ) ) ) ) )).
fof(cc4_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) ) => ( v1_funct_1(B) & v2_nfcont_3(B,A) ) ) ) ) )).
fof(cc4_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) => ( ( v1_funct_1(B) & v3_funct_1(B) ) => ( v1_funct_1(B) & v2_nfcont_4(B,A) ) ) ) ) )).
fof(cc4_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_ec_pf_2(A,4) ) => ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) ) )).
fof(cc4_orders_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) ) => ( ~ v2_struct_0(B) & v16_waybel_0(B) ) ) ) ) )).
fof(cc4_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => v5_ordinal1(A) ) )).
fof(cc4_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal5(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) ) )).
fof(cc4_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal6(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal2(A) & v3_ordinal2(A) ) ) )).
fof(cc4_osalg_1,axiom,( ! [A] : ( l3_osalg_1(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v6_osalg_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) ) ) ) )).
fof(cc4_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_osalg_4(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k2_osalg_4(A)) => v1_waybel_0(B,A) ) ) )).
fof(cc4_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) ) ) )).
fof(cc4_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => ( v2_struct_0(A) => ( v4_pcs_0(A) & v5_pcs_0(A) & v6_pcs_0(A) ) ) ) )).
fof(cc4_pencil_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v11_pencil_1(A) & v15_pencil_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v11_pencil_1(A) & v12_pencil_1(A) ) ) )).
fof(cc4_poset_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_2(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) ) ) ) )).
fof(cc4_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) ) )).
fof(cc4_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v7_pre_topc(A) & v9_pre_topc(A) ) => v11_pre_topc(A) ) ) )).
fof(cc4_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( v7_prefer_1(A) => v1_yellow_3(A) ) ) )).
fof(cc4_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m2_prvect_1(B,A) => v1_funcop_1(B) ) ) )).
fof(cc4_pua2mss1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_pua2mss1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc4_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v2_ratfunc1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) ) ) ) ) )).
fof(cc4_rcomp_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ! [B] : ( m1_subset_1(B,A) => v3_membered(B) ) ) )).
fof(cc4_relat_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_relat_1(A) ) ) )).
fof(cc4_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_2(A) ) => ( v1_relat_1(A) & v2_relat_2(A) & v4_relat_2(A) ) ) )).
fof(cc4_relset_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) => v1_xboole_0(C) ) ) )).
fof(cc4_rewrite1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_rewrite1(A) & v3_rewrite1(A) ) ) )).
fof(cc4_rfunct_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v7_valued_0(A) & v8_valued_0(A) ) => ( v1_funct_1(A) & v3_funct_1(A) ) ) ) )).
fof(cc4_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_subset_1(B,u1_struct_0(A)) & v3_ring_1(B,A) ) => v4_ring_1(B,A) ) ) ) )).
fof(cc4_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v9_struct_0(B,A) => ( ~ v9_struct_0(B,A) & v1_gcd_1(B,A) ) ) ) ) )).
fof(cc4_rltopsp1,axiom,( ! [A] : ( l1_rltopsp1(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) ) ) ) )).
fof(cc4_robbins1,axiom,( ! [A] : ( l2_robbins1(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v5_robbins1(A) ) => ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) ) ) ) )).
fof(cc4_robbins4,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v2_robbins4(A) ) => ( ~ v2_struct_0(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v1_robbins4(A) ) ) ) )).
fof(cc4_roughs_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ~ v1_roughs_1(A) => ~ v1_orders_3(A) ) ) )).
fof(cc4_roughs_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_orders_2(A) => v4_roughs_2(A) ) ) )).
fof(cc4_roughs_4,axiom,( ! [A] : ( l1_roughs_4(A) => ( v18_roughs_4(A) => v19_roughs_4(A) ) ) )).
fof(cc4_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(A) ) => ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scm_halt(A) ) ) )).
fof(cc4_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ( ~ v1_xboole_0(A) & v1_classes1(A) & v3_scmyciel(A,1) ) ) )).
fof(cc4_seq_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_comseq_2(A) ) ) ) )).
fof(cc4_seqm_3,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v3_valued_0(A) ) )).
fof(cc4_setfam_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ v2_setfam_1(A) ) )).
fof(cc4_sheffer1,axiom,( ! [A] : ( l2_lattices(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v4_lattices(A) & v5_lattices(A) ) ) ) )).
fof(cc4_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( ~ v5_simplex0(A) => ~ v3_pencil_1(A) ) ) )).
fof(cc4_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) ) => ! [C] : ( m2_simplex0(C,u1_struct_0(A),B) => v1_simplex1(C,A) ) ) )).
fof(cc4_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_simplex0(B,u1_struct_0(k15_euclid(A))) => ( v2_simplex0(B) => v2_simplex2(B,A) ) ) ) )).
fof(cc4_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal4(A) => ~ v1_xboole_0(A) ) ) )).
fof(cc4_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( v1_srings_1(B,A) & v3_srings_1(B,A) ) => ( v1_srings_1(B,A) & v2_srings_1(B,A) ) ) ) )).
fof(cc4_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v2_struct_0(A) => ( v2_struct_0(A) & v8_struct_0(A) ) ) ) )).
fof(cc4_subset_1,axiom,( ! [A] : ( v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ~ v1_subset_1(B,A) ) ) )).
fof(cc4_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_tdlat_3(A) => v3_tdlat_3(A) ) ) )).
fof(cc4_tex_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v2_tdlat_3(A) ) => ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v2_pre_topc(A) ) ) ) )).
fof(cc4_tex_2,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ( ~ v1_xboole_0(B) & v1_zfmisc_1(B) ) => ( ~ v1_xboole_0(B) & v1_subset_1(B,A) ) ) ) ) )).
fof(cc4_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tex_3(B,A) => v1_tex_3(B,A) ) ) ) )).
fof(cc4_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_tsep_1(B,A) & ~ v4_tex_4(B,A) ) => ( ~ v2_struct_0(B) & ~ v2_tdlat_3(B) ) ) ) ) )).
fof(cc4_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => ! [F] : ( m1_borsuk_6(F,A,B,C,D,E) => v5_pre_topc(F,k2_borsuk_1(k5_topmetr,k5_topmetr),A) ) ) )).
fof(cc4_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & v1_topalg_6(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_topalg_6(A) ) ) ) )).
fof(cc4_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_topdim_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v1_topdim_1(B,A) ) ) )).
fof(cc4_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v5_topgen_1(B,A) ) ) ) )).
fof(cc4_topgen_4,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_waybel23(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_topgen_1(A) ) ) ) )).
fof(cc4_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_topgrp_1(B,A) => v3_tops_2(B,A,A) ) ) )).
fof(cc4_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v2_topreal4(A,k15_euclid(2)) => ( v3_pre_topc(A,k15_euclid(2)) & v2_connsp_1(A,k15_euclid(2)) ) ) ) )).
fof(cc4_topreala,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_xboole_0(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) ) ) ) ) )).
fof(cc4_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_tops_1(B,A) => v2_tops_1(B,A) ) ) ) )).
fof(cc4_trees_3,axiom,( ! [A] : ( v2_trees_3(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_trees_3(B) ) ) )).
fof(cc4_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v2_trees_9(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v3_trees_9(A) ) ) )).
fof(cc4_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) ) ) ) )).
fof(cc4_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v1_tex_3(B,A) => ~ v2_tsp_2(B,A) ) ) ) )).
fof(cc4_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) => ( v1_relat_1(A) & v3_valued_0(A) ) ) )).
fof(cc4_valued_2,axiom,( ! [A] : ( v3_valued_2(A) => v1_valued_2(A) ) )).
fof(cc4_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l6_algstr_0(A) & ~ v7_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v2_hahnban1(C,A,B) & ~ v2_vectsp10(C,A,B) ) => ( v1_funct_1(C) & ~ v3_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) ) ) ) ) )).
fof(cc4_vectsp_1,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & v6_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v1_group_1(A) ) ) ) )).
fof(cc4_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => ( v2_waybel11(B,A) & v3_waybel11(B,A) ) ) ) ) )).
fof(cc4_waybel17,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v22_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) ) ) ) ) )).
fof(cc4_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v3_waybel_3(B) ) ) )).
fof(cc4_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel23(B,A) => v1_waybel_0(B,A) ) ) ) )).
fof(cc4_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_waybel25(A)))) => ( v3_pre_topc(B,k1_waybel25(A)) => v13_waybel_0(B,k1_waybel25(A)) ) ) ) )).
fof(cc4_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v3_waybel_3(A) ) => ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) ) ) )).
fof(cc4_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v12_waybel_0(B,A) => v3_waybel11(B,A) ) ) ) )).
fof(cc4_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v2_lattice3(B) ) ) )).
fof(cc4_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( ( v4_yellow_0(B,A) & v7_waybel34(B,A) ) => ( ~ v2_struct_0(B) & v1_yellow_0(B) & v4_yellow_0(B,A) ) ) ) ) )).
fof(cc4_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( l1_waybel_0(B,A) => ( ( ~ v2_struct_0(B) & v7_waybel_0(B) & v8_waybel_0(B,A) ) => ( ~ v2_struct_0(B) & v7_waybel_0(B) & v10_waybel_0(B,A) ) ) ) ) )).
fof(cc4_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(B,A) ) ) ) ) )).
fof(cc4_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v2_waybel_2(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v24_waybel_0(A) & v1_waybel_2(A) ) ) ) )).
fof(cc4_waybel_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v3_waybel_3(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v24_waybel_0(A) & v2_waybel_3(A) ) ) ) )).
fof(cc4_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_2(A) ) ) ) )).
fof(cc4_waybel_5,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_waybel_5(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v9_waybel_1(A) ) ) ) )).
fof(cc4_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v7_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_8(A) ) ) ) )).
fof(cc4_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xxreal_0(A) ) )).
fof(cc4_xxreal_0,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) ) => ( v1_xxreal_0(A) & v2_xxreal_0(A) ) ) )).
fof(cc4_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v5_xxreal_2(A) ) => ( v2_membered(A) & v3_xxreal_2(A) & v4_xxreal_2(A) ) ) )).
fof(cc4_yellow11,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v1_yellow_0(A) ) ) ) )).
fof(cc4_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) => ( v2_pre_topc(A) & v7_pre_topc(A) & v8_pre_topc(A) & v9_pre_topc(A) & v10_pre_topc(A) ) ) ) )).
fof(cc4_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => ( v13_waybel_0(B,A) & v1_waybel11(B,A) ) ) ) ) )).
fof(cc4_yellow18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow18(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( v1_relat_1(D) & v1_funct_1(D) ) ) ) )).
fof(cc4_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v3_yellow18(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) ) => ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & v3_yellow18(B) ) ) ) ) )).
fof(cc4_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_yellow_0(A) => ( v1_yellow_0(A) & v2_yellow_0(A) ) ) ) )).
fof(cc4_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( l1_waybel_0(B,A) => ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) ) => ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v3_yellow_6(B,A) ) ) ) ) )).
fof(cc4_yellow_8,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_yellow_8(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) ) ) ) )).
fof(cc4_yellow_9,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v5_orders_2(B) ) ) )).
fof(cc4_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => v2_zmodul03(B) ) ) )).
fof(cc4_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => v3_zmodul06(B) ) ) )).
fof(cc5_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( v6_abcmiz_1(B,A) => ( ~ v7_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) ) ) ) )).
fof(cc5_abcmiz_a,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( ~ v11_struct_0(A) & v1_instalg1(A) & v3_abcmiz_a(A) ) => ( ~ v11_struct_0(A) & v1_instalg1(A) & v12_abcmiz_1(A) ) ) ) )).
fof(cc5_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v7_absred_0(A) => v6_absred_0(A) ) ) )).
fof(cc5_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v4_valued_0(A) ) ) )).
fof(cc5_algstr_0,axiom,( ! [A] : ( ( v5_algstr_0(A) & l1_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_algstr_0(B,A) ) ) )).
fof(cc5_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v21_algstr_0(A) & v5_algstr_1(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v23_algstr_0(B,A) ) ) )).
fof(cc5_amistd_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) => v3_amistd_2(C,A,B) ) ) ) )).
fof(cc5_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( m1_aofa_000(D,A,B,C) => ( v13_aofa_000(D,A,B) & v14_aofa_000(D,A,B) ) ) ) )).
fof(cc5_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v4_msafree4(C,A,B) & l3_msualg_1(C,A) & v2_relat_1(D) & m1_msafree(D,A,B) ) => ! [E] : ( m1_subset_1(E,k12_aofa_a00(A,B,C,D)) => v1_partfun1(E,u1_struct_0(A)) ) ) )).
fof(cc5_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( ( v4_msualg_1(B,A) & v6_aofa_a01(B,A) ) => ( v4_msualg_1(B,A) & v1_aofa_a01(B,A) ) ) ) ) )).
fof(cc5_aofa_l00,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( l1_msualg_1(B) => ( ( v1_instalg1(B) & v2_aofa_l00(B,A) ) => ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) ) ) ) ) )).
fof(cc5_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( v8_relat_2(B) & v7_armstrng(B,A) ) => ( v3_armstrng(B,A) & v4_armstrng(B,A) ) ) ) )).
fof(cc5_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v19_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v16_bcialg_1(A) ) ) ) )).
fof(cc5_bhsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_valued_0(C,B) => v2_bhsp_3(C,A) ) ) )).
fof(cc5_card_1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(A) ) )).
fof(cc5_card_3,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v4_card_3(A) ) => v5_card_3(A) ) )).
fof(cc5_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v6_card_fil(A) ) => ( ~ v1_finset_1(A) & v1_card_1(A) & v4_card_fil(A) ) ) )).
fof(cc5_cat_7,axiom,( ! [A] : ( ( v1_xboole_0(A) & v3_ordinal1(A) ) => ! [B] : ( l1_cat_6(B) => ( ( v9_cat_6(B) & v10_cat_6(B) & v7_cat_7(B,A) ) => ( v2_struct_0(B) & v9_cat_6(B) & v10_cat_6(B) ) ) ) ) )).
fof(cc5_cayldick,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v1_vectsp_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v2_vectsp_1(A) & v5_group_1(A) ) ) ) )).
fof(cc5_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & v7_cgames_1(A) ) => ( v2_cgames_1(A) & v5_cgames_1(A) & v6_cgames_1(A) ) ) )).
fof(cc5_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & v5_circcmb3(B,A) ) => ( v4_msualg_1(B,A) & v4_msafree2(B,A) & v3_circcmb3(B,A) ) ) ) ) )).
fof(cc5_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure1(B,A) => ( v7_closure1(B,A) => v11_closure1(B,A) ) ) ) )).
fof(cc5_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v2_closure2(C,A,B) => v6_closure2(C,A,B) ) ) ) )).
fof(cc5_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_cohsp_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v6_cohsp_1(A) ) ) )).
fof(cc5_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_compact1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_compact1(A) ) ) ) )).
fof(cc5_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_struct_0(A) => v8_pre_topc(A) ) ) )).
fof(cc5_comput_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v3_comput_1(A) ) ) )).
fof(cc5_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => v1_dblseq_1(B) ) ) )).
fof(cc5_dilworth,axiom,( ! [A] : ( ( v3_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_dilworth(B,A) => ( v1_finset_1(B) & v1_dilworth(B,A) ) ) ) ) )).
fof(cc5_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ( v5_euclid_7(B,A) => ( v3_euclid_7(B) & v4_euclid_7(B,A) ) ) ) ) )).
fof(cc5_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) & v2_exchsort(A,k5_numbers) ) => ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_exchsort(A) ) ) )).
fof(cc5_fcont_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v2_fcont_1(A) ) => ( v1_funct_1(A) & v1_fcont_1(A) ) ) ) )).
fof(cc5_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finseq_1(A) ) ) )).
fof(cc5_finset_1,axiom,( ! [A] : ( ~ v1_finset_1(A) => ~ v1_zfmisc_1(A) ) )).
fof(cc5_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_2(C,A,B) => v1_partfun1(C,A) ) ) ) )).
fof(cc5_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v8_fomodel1(B,A) => v9_fomodel1(B,A) ) ) ) )).
fof(cc5_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(A,C)))) => ( ( v1_funct_1(D) & v1_funct_2(D,B,k9_funct_2(A,C)) ) => ( v1_funct_1(D) & v1_funct_2(D,B,k9_funct_2(A,C)) & v1_funcop_1(D) ) ) ) ) )).
fof(cc5_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v7_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( m1_fomodel2(E,A,B,C) => ( v2_fomodel3(E,A,B,C,D) => v1_fomodel3(E,k9_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C))),k3_fomodel2(k5_margrel1)) ) ) ) )).
fof(cc5_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [C] : ( v8_fomodel4(C,A,B) => v4_fomodel4(C,A,B,k1_xboole_0) ) ) )).
fof(cc5_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) ) => ( ~ v1_zfmisc_1(A) & v1_relat_1(A) & v1_funct_1(A) ) ) )).
fof(cc5_funct_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) => ( v1_funct_2(B,k2_zfmisc_1(A,A),A) => v1_partfun1(B,k2_zfmisc_1(A,A)) ) ) )).
fof(cc5_funct_8,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v6_funct_8(C,A,B) ) => ( v1_funct_1(C) & v2_funct_8(C) & v5_funct_8(C,A,B) ) ) ) ) )).
fof(cc5_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( v15_functor0(C,A,B) => v6_functor0(C,A,B) ) ) ) )).
fof(cc5_functor2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( ( v11_functor0(C,A,B) & v14_functor0(C,A,B) ) => v16_functor0(C,A,B) ) ) ) )).
fof(cc5_gcd_1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_group_1(A) & v3_gcd_1(A) ) ) ) )).
fof(cc5_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v8_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) & v6_glib_000(A) ) ) )).
fof(cc5_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_002(A) & v2_glib_002(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) ) )).
fof(cc5_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) ) => ! [B] : ( m1_glib_000(B,A) => ( ( v1_glib_003(B) & v4_glib_003(B,A) ) => ( v1_glib_003(B) & v4_glib_003(B,A) & v8_glib_003(B) ) ) ) ) )).
fof(cc5_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B)))) => v1_finseq_1(C) ) ) )).
fof(cc5_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v2_groupp_1(B,A) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => v2_groupp_1(C,A) ) ) )).
fof(cc5_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v6_hahnban(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v5_hahnban(B,A) ) ) ) ) )).
fof(cc5_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v4_bilinear(B,k1_complfld,A,A) & v3_hermitan(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v2_hermitan(B,A,A) ) ) ) ) )).
fof(cc5_instalg1,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( ~ v11_struct_0(A) & v1_instalg1(A) ) => ~ v2_struct_0(A) ) ) )).
fof(cc5_int_1,axiom,( ! [A] : ( v2_int_1(A) => v1_int_1(A) ) )).
fof(cc5_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_decomp_1(B,A) => v2_isomichi(B,A) ) ) ) )).
fof(cc5_jordan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v8_pre_topc(B) ) ) ) ) )).
fof(cc5_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) => ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & v5_lattad_1(A) ) ) ) )).
fof(cc5_lattice2,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v15_lattices(A) ) ) ) )).
fof(cc5_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & v1_filter_2(B,A) ) => ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & v3_latticea(B,A) ) ) ) ) )).
fof(cc5_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v17_lattices(A) ) => ( ~ v2_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) ) ) ) )).
fof(cc5_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) ) => ( ~ v2_struct_0(A) & v16_waybel_0(A) & v1_lfuzzy_0(A) ) ) ) )).
fof(cc5_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [B] : ( m1_subset_1(B,k9_ltlaxio4(A)) => v3_ltlaxio3(B) ) ) )).
fof(cc5_matroid0,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => v4_taxonom2(B) ) )).
fof(cc5_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( v1_prob_1(B,A) & v3_measure1(B,A) ) => v4_prob_1(B,A) ) ) )).
fof(cc5_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_xboole_0(A) => v1_measure5(A) ) ) )).
fof(cc5_membered,axiom,( ! [A] : ( v3_membered(A) => v1_membered(A) ) )).
fof(cc5_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v3_pcomps_1(A) & v1_metrizts(A) ) => ( v2_pre_topc(A) & v5_waybel23(A) & v3_pcomps_1(A) ) ) ) )).
fof(cc5_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_pre_topc(B) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_mfold_1(B,A) ) => ( ~ v2_struct_0(B) & v2_pre_topc(B) & v8_pre_topc(B) & v5_waybel23(B) & v2_mfold_1(B,A) ) ) ) ) )).
fof(cc5_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v4_mod_4(C,A,B) ) => ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_mod_4(C,A,B) ) ) ) ) )).
fof(cc5_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v3_group_1(A) & v13_monoid_0(A) ) => ( ~ v2_struct_0(A) & v2_group_1(A) ) ) ) )).
fof(cc5_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_msualg_6(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_2(C,A,B) => v1_msualg_6(C,A) ) ) )).
fof(cc5_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l3_msualg_1(C,A) => ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) ) => ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) ) ) ) ) )).
fof(cc5_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k3_msualg_1(A,C,k1_msafree3(A,B))) => v6_trees_3(D) ) ) )).
fof(cc5_msscyc_1,axiom,( ! [A] : ( l1_graph_1(A) => ( ( ~ v2_struct_0(A) & v3_msscyc_1(A) ) => ( ~ v2_struct_0(A) & v2_msscyc_1(A) ) ) ) )).
fof(cc5_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v4_mssubfam(C,A,B) => v5_mssubfam(C,A,B) ) ) ) )).
fof(cc5_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_mycielsk(B,A) => v8_struct_0(B) ) ) )).
fof(cc5_nat_1,axiom,( ! [A] : ( v1_xboole_0(A) => v8_ordinal1(A) ) )).
fof(cc5_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_nat_6(B,A) ) => ( v7_ordinal1(B) & v1_ec_pf_2(B,k2_xcmplx_0(A,1)) ) ) ) )).
fof(cc5_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v1_orders_2(A) ) => ( ~ v2_struct_0(A) & v1_neckla_2(A) ) ) ) )).
fof(cc5_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) => ( ( v1_funct_1(B) & v2_nfcont_3(B,A) ) => ( v1_funct_1(B) & v1_nfcont_3(B,A) ) ) ) ) )).
fof(cc5_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) => ( ( v1_funct_1(B) & v2_nfcont_4(B,A) ) => ( v1_funct_1(B) & v1_nfcont_4(B,A) ) ) ) ) )).
fof(cc5_numpoly1,axiom,( ! [A] : ( v1_numpoly1(A) => v7_ordinal1(A) ) )).
fof(cc5_orders_4,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => v8_struct_0(B) ) ) )).
fof(cc5_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( m1_subset_1(B,A) => v3_ordinal1(B) ) ) )).
fof(cc5_ordinal5,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_xboole_0(A) & v2_ordinal2(A) & v1_ordinal5(A) ) ) )).
fof(cc5_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal2(A) & v3_ordinal2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal6(A) ) ) )).
fof(cc5_osalg_1,axiom,( ! [A] : ( l3_osalg_1(A) => ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v6_osalg_1(A) & v8_osalg_1(A) ) => ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) ) ) ) )).
fof(cc5_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_osalg_4(C,A,B) => ( ( v2_msualg_4(C,A,B) & v3_osalg_4(C,A,B) ) => ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) ) ) ) ) )).
fof(cc5_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) ) ) )).
fof(cc5_pcs_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v9_pcs_0(A) & v10_pcs_0(A) & v11_pcs_0(A) ) ) )).
fof(cc5_pencil_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v11_pencil_1(A) & v15_pencil_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v11_pencil_1(A) & v14_pencil_1(A) ) ) )).
fof(cc5_poset_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_2(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) ) ) ) )).
fof(cc5_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) ) ) )).
fof(cc5_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v12_pre_topc(A) => ( v7_pre_topc(A) & v10_pre_topc(A) ) ) ) )).
fof(cc5_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( v8_prefer_1(A) => v1_yellow_3(A) ) ) )).
fof(cc5_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ( v6_ratfunc1(B,A) => v5_ratfunc1(B,A) ) ) ) )).
fof(cc5_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => v4_relat_1(C,A) ) ) )).
fof(cc5_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v7_relat_2(A) ) => ( v1_relat_1(A) & v1_relat_2(A) & v6_relat_2(A) ) ) )).
fof(cc5_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_rewrite1(A) ) => ( v1_relat_1(A) & v2_rewrite1(A) ) ) )).
fof(cc5_rfunct_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) => ( ( v1_funct_1(A) & v3_funct_1(A) ) => ( v1_funct_1(A) & v7_valued_0(A) & v8_valued_0(A) ) ) ) )).
fof(cc5_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & v4_ring_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & v2_ring_1(B,A) ) ) ) ) )).
fof(cc5_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_ring_2(B,A) => ( ~ v9_struct_0(B,A) & ~ v1_gcd_1(B,A) ) ) ) ) )).
fof(cc5_robbins1,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v10_robbins1(A) ) => ( ~ v2_struct_0(A) & v6_lattices(A) ) ) ) )).
fof(cc5_robbins4,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v1_robbins4(A) ) => ( ~ v2_struct_0(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v2_robbins4(A) ) ) ) )).
fof(cc5_roughs_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_prob_2(A) ) ) )).
fof(cc5_roughs_4,axiom,( ! [A] : ( l4_roughs_4(A) => ( ( v19_roughs_4(A) & v28_roughs_4(A) ) => ( v2_pre_topc(A) & v28_roughs_4(A) ) ) ) )).
fof(cc5_scmyciel,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v3_scmyciel(A,1) ) => v4_scmyciel(A) ) )).
fof(cc5_sheffer1,axiom,( ! [A] : ( l1_lattices(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v6_lattices(A) & v7_lattices(A) ) ) ) )).
fof(cc5_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( ~ v4_simplex0(A) => ~ v3_pencil_1(A) ) ) )).
fof(cc5_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v2_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) ) => ! [C] : ( m2_simplex0(C,u1_struct_0(A),B) => v2_simplex1(C,A) ) ) )).
fof(cc5_simplex2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_simplex2(B,A) & m1_simplex0(B,u1_struct_0(k15_euclid(A))) ) => ! [C] : ( m1_simplex1(C,k15_euclid(A),B) => v2_simplex2(C,A) ) ) )).
fof(cc5_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal4(A) => ~ v1_zfmisc_1(A) ) ) )).
fof(cc5_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( ~ v8_struct_0(A) => ( ~ v2_struct_0(A) & ~ v8_struct_0(A) ) ) ) )).
fof(cc5_subset_1,axiom,( ! [A] : ( v1_zfmisc_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_zfmisc_1(B) ) ) )).
fof(cc5_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v1_tdlat_3(B) ) ) ) )).
fof(cc5_tex_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v3_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & ~ v2_tdlat_3(A) ) ) ) )).
fof(cc5_tex_2,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ( ~ v1_xboole_0(B) & ~ v1_subset_1(B,A) ) => ( ~ v1_xboole_0(B) & ~ v1_zfmisc_1(B) ) ) ) ) )).
fof(cc5_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v1_tex_3(B,A) => ~ v2_tex_3(B,A) ) ) ) )).
fof(cc5_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v2_tdlat_3(B) & ~ v4_tex_4(B,A) ) => ( ~ v2_struct_0(B) & ~ v1_tsep_1(B,A) ) ) ) ) )).
fof(cc5_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v2_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topalg_6(A) ) ) ) )).
fof(cc5_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v6_topgen_1(B,A) ) => ~ v2_topgen_1(B,A) ) ) ) )).
fof(cc5_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & v3_topgen_4(B,A) ) ) ) )).
fof(cc5_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v1_topgrp_1(A) ) ) ) )).
fof(cc5_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( v3_pre_topc(A,k15_euclid(2)) & v2_connsp_1(A,k15_euclid(2)) ) => v2_topreal4(A,k15_euclid(2)) ) ) )).
fof(cc5_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) & v2_tops_1(B,A) ) => v3_tops_1(B,A) ) ) ) )).
fof(cc5_trees_3,axiom,( ! [A] : ( v3_trees_3(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v3_trees_3(B) ) ) )).
fof(cc5_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k5_trees_3(A))) ) => ! [C] : ( m1_subset_1(C,B) => v1_finset_1(C) ) ) )).
fof(cc5_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v7_struct_0(A) & v2_pre_topc(A) ) ) ) )).
fof(cc5_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tsep_1(B,A) & v2_tsp_2(B,A) ) => ~ v1_tex_2(B,A) ) ) ) )).
fof(cc5_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => ( v1_relat_1(A) & v2_valued_0(A) ) ) )).
fof(cc5_valued_2,axiom,( ! [A] : ( v3_valued_2(A) => v2_valued_2(A) ) )).
fof(cc5_vectsp_1,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v1_group_1(A) ) ) ) )).
fof(cc5_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v1_waybel11(B,A) ) ) )).
fof(cc5_waybel19,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) ) => ( v2_pre_topc(A) & v7_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_compts_1(A) ) ) ) )).
fof(cc5_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_waybel23(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc5_waybel25,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) => ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) ) => ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v1_yellow14(C,k3_waybel24(A,k1_waybel25(B))) ) ) ) ) )).
fof(cc5_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) ) => ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) ) ) ) )).
fof(cc5_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( ( v4_yellow_0(B,A) & v6_yellow_0(B,A) & v7_waybel34(B,A) ) => ( v4_yellow_0(B,A) & v6_waybel34(B,A) ) ) ) ) )).
fof(cc5_waybel35,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_waybel35(C,A,B) => ( v1_zfmisc_1(C) => v3_waybel35(C,A,B) ) ) ) )).
fof(cc5_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( l1_waybel_0(B,A) => ( ( ~ v2_struct_0(B) & v7_waybel_0(B) & v9_waybel_0(B,A) ) => ( ~ v2_struct_0(B) & v7_waybel_0(B) & v11_waybel_0(B,A) ) ) ) ) )).
fof(cc5_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v9_waybel_1(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) ) ) )).
fof(cc5_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v24_waybel_0(A) & v1_waybel_2(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v2_waybel_2(A) ) ) ) )).
fof(cc5_waybel_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v24_waybel_0(A) & v2_waybel_3(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) ) ) ) )).
fof(cc5_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v8_waybel_4(B,A) => v9_waybel_4(B,A) ) ) ) )).
fof(cc5_xxreal_0,axiom,( ! [A] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) ) => ( ~ v8_ordinal1(A) & v1_xxreal_0(A) & ~ v2_xxreal_0(A) ) ) )).
fof(cc5_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v3_xxreal_2(A) & v4_xxreal_2(A) ) => ( v2_membered(A) & v5_xxreal_2(A) ) ) )).
fof(cc5_yellow11,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) => ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) ) ) )).
fof(cc5_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v12_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v9_pre_topc(A) ) ) ) )).
fof(cc5_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v13_waybel_0(B,A) & v1_waybel11(B,A) ) => v3_pre_topc(B,A) ) ) ) )).
fof(cc5_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow18(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) ) => ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & v2_yellow18(B) ) ) ) ) )).
fof(cc5_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v1_yellow_0(A) & v2_yellow_0(A) ) => v3_yellow_0(A) ) ) )).
fof(cc5_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => v1_relat_1(B) ) ) )).
fof(cc5_yellow_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => v3_lattice3(B) ) ) )).
fof(cc5_zmodul06,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) ) => ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & ~ v2_zmodul06(A) & v3_zmodul06(A) ) ) ) )).
fof(cc6_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( v7_abcmiz_1(B,A) => ( ~ v6_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) ) ) ) )).
fof(cc6_abcmiz_a,axiom,( ! [A] : ( l1_msualg_1(A) => ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_a(A) ) => ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) ) ) ) )).
fof(cc6_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( ( v4_absred_0(A) & v6_absred_0(A) ) => v8_absred_0(A) ) ) )).
fof(cc6_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v1_afinsq_1(A) ) ) )).
fof(cc6_algstr_0,axiom,( ! [A] : ( ( v6_algstr_0(A) & l1_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_algstr_0(B,A) ) ) )).
fof(cc6_algstr_1,axiom,( ! [A] : ( l5_algstr_0(A) => ( ( ~ v2_struct_0(A) & v7_algstr_1(A) ) => ( ~ v2_struct_0(A) & v32_algstr_0(A) & v6_algstr_1(A) ) ) ) )).
fof(cc6_amistd_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v4_amistd_2(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => v3_amistd_2(C,A,B) ) ) )).
fof(cc6_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k3_msualg_1(A,C,B)) => ( v1_relat_1(D) & v1_funct_1(D) ) ) ) )).
fof(cc6_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v4_msualg_1(B,A) & v17_aofa_a00(B,A) & v22_aofa_a00(B,A,1,1,11) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(cc6_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_aofa_l00(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v4_msualg_1(B,A) => v17_aofa_l00(B,A) ) ) ) )).
fof(cc6_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v3_armstrng(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc6_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v15_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v16_bcialg_1(A) ) ) ) )).
fof(cc6_bhsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_valued_0(C,B) => v1_bhsp_2(C,A) ) ) )).
fof(cc6_card_1,axiom,( ! [A] : ( ( v3_ordinal1(A) & v1_finset_1(A) ) => v7_ordinal1(A) ) )).
fof(cc6_card_3,axiom,( ! [A] : ( v1_finset_1(A) => v4_card_3(A) ) )).
fof(cc6_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) ) => ( ~ v1_finset_1(A) & v1_card_1(A) & v1_card_5(A) ) ) )).
fof(cc6_cayldick,axiom,( ! [A] : ( l5_algstr_0(A) => ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v34_algstr_0(A) & v5_group_1(A) ) ) ) )).
fof(cc6_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & v5_cgames_1(A) & v6_cgames_1(A) ) => ( v2_cgames_1(A) & v7_cgames_1(A) ) ) )).
fof(cc6_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) ) => ! [C] : ( m2_circcmb3(C,A,B) => ( v4_msualg_1(C,B) & v4_circcomb(C,B) ) ) ) )).
fof(cc6_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v6_closure2(C,A,B) => ~ v1_xboole_0(C) ) ) ) )).
fof(cc6_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_cohsp_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_cohsp_1(A) ) ) )).
fof(cc6_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_compact1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_compact1(A) ) ) ) )).
fof(cc6_compts_1,axiom,( ! [A] : ( ( v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v8_pre_topc(B) ) ) )).
fof(cc6_comput_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_comput_1(A)) => v2_margrel1(B) ) )).
fof(cc6_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v2_dblseq_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => v2_dblseq_1(B) ) ) )).
fof(cc6_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ( v8_struct_0(A) => v4_dilworth(A) ) ) )).
fof(cc6_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ( ( v3_euclid_7(B) & v4_euclid_7(B,A) ) => v5_euclid_7(B,A) ) ) ) )).
fof(cc6_exchsort,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_xboole_0(B) & v1_exchsort(B) ) => ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_xboole_0(B) & v1_exchsort(B) & v5_exchsort(B,A) ) ) ) )).
fof(cc6_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) ) )).
fof(cc6_finset_1,axiom,( ! [A] : ( v1_xboole_0(A) => v5_finset_1(A) ) )).
fof(cc6_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_finseq_2(A)) => v5_relat_1(B,A) ) )).
fof(cc6_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v6_fomodel1(B,A) => v5_fomodel1(B,A) ) ) ) )).
fof(cc6_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ! [D] : ( v2_fomodel2(D,A,B,C) => v1_funct_1(D) ) ) )).
fof(cc6_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) => v1_pre_poly(B) ) ) )).
fof(cc6_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [C] : ( v4_fomodel4(C,A,B,k1_xboole_0) => v8_fomodel4(C,A,B) ) ) )).
fof(cc6_funct_1,axiom,( ! [A] : ( ( v1_zfmisc_1(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) ) )).
fof(cc6_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v3_funct_2(C,A,B) ) => ( v1_funct_1(C) & v2_funct_1(C) & v2_funct_2(C,B) ) ) ) )).
fof(cc6_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( v16_functor0(C,A,B) => v6_functor0(C,A,B) ) ) ) )).
fof(cc6_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) & v4_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) ) )).
fof(cc6_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v8_glib_001(B,A) => ( v1_glib_001(B,A) & ~ v3_glib_001(B,A) & v5_glib_001(B,A) ) ) ) ) )).
fof(cc6_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => ! [C] : ( m2_glib_000(C,A,k6_domain_1(k6_glib_000(A),B),k1_xboole_0) => v3_glib_002(C) ) ) )).
fof(cc6_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k4_card_3(k12_pralg_1(k1_enumset1(1,2,3),k11_finseq_1(A,B,C)))) => v1_finseq_1(D) ) ) )).
fof(cc6_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( l3_algstr_0(B) => ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & v2_group_10(B,A) ) => ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_groupp_1(B,A) ) ) ) ) )).
fof(cc6_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => ( ( v2_gtarski1(A) & v3_gtarski1(A) & v4_gtarski1(A) & v5_gtarski1(A) & v6_gtarski1(A) & v7_gtarski1(A) & v8_gtarski1(A) ) => v9_gtarski1(A) ) ) )).
fof(cc6_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v4_hahnban(B,A) & v7_hahnban(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v5_hahnban(B,A) ) ) ) ) )).
fof(cc6_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) => ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v2_hermitan(B,A,A) & v3_hermitan(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v4_bilinear(B,k1_complfld,A,A) ) ) ) ) )).
fof(cc6_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => v1_instalg1(B) ) ) )).
fof(cc6_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => ( v5_tops_1(B,A) & v6_tops_1(B,A) ) ) ) ) )).
fof(cc6_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & v5_lattad_1(A) ) => ( ~ v2_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) ) ) )).
fof(cc6_lattice2,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & v11_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice2(A) ) ) ) )).
fof(cc6_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & v3_latticea(B,A) ) => ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(A)) & v18_lattices(B,A) & v21_lattices(B,A) ) ) ) ) )).
fof(cc6_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) ) => ( ~ v2_struct_0(A) & v17_lattices(A) ) ) ) )).
fof(cc6_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) ) => ( ~ v2_struct_0(A) & v1_lattice3(A) & v2_lattice3(A) & v1_lfuzzy_0(A) ) ) ) )).
fof(cc6_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ! [C] : ( m1_subset_1(C,k2_relset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B)) => ~ v2_ltlaxio3(C) ) ) )).
fof(cc6_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v3_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => ( v1_finset_1(B) & v3_pre_topc(B,A) ) ) ) ) )).
fof(cc6_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) => ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) ) ) )).
fof(cc6_membered,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_xcmplx_0(B) ) ) )).
fof(cc6_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v3_pcomps_1(A) & v1_metrizts(A) ) => ( v2_pre_topc(A) & v7_topgen_1(A) & v3_pcomps_1(A) ) ) ) )).
fof(cc6_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_pre_topc(B) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v8_pre_topc(B) & v5_waybel23(B) & v2_mfold_1(B,A) ) => ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_mfold_1(B,A) ) ) ) ) )).
fof(cc6_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v4_mod_4(C,A,B) ) ) ) ) )).
fof(cc6_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v13_monoid_0(A) ) => ( ~ v2_struct_0(A) & v11_monoid_0(A) & v12_monoid_0(A) ) ) ) )).
fof(cc6_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_prob_2(B) ) => ! [C] : ( m3_pboole(C,A,B) => v1_prob_2(C) ) ) )).
fof(cc6_msafree5,axiom,( ! [A] : ( v1_trees_1(A) => v3_finseq_1(A) ) )).
fof(cc6_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v5_mssubfam(C,A,B) => v2_relat_1(C) ) ) ) )).
fof(cc6_nat_1,axiom,( ! [A] : ( ~ v8_ordinal1(A) => ~ v1_xboole_0(A) ) )).
fof(cc6_nat_6,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_ec_pf_2(B,A) ) => ( ~ v1_zfmisc_1(B) & v7_ordinal1(B) ) ) ) )).
fof(cc6_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => v1_neckla_3(A) ) ) )).
fof(cc6_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v2_numpoly1(B,A) => v1_xreal_0(B) ) ) )).
fof(cc6_oposet_1,axiom,( ! [A] : ( l2_qmax_1(A) => ( ( ~ v2_struct_0(A) & v6_oposet_1(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) ) ) )).
fof(cc6_ordinal1,axiom,( ! [A] : ( v7_ordinal1(A) => v3_ordinal1(A) ) )).
fof(cc6_ordinal5,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal5(A) ) => ( ~ v1_xboole_0(A) & v3_ordinal1(A) & v4_ordinal1(A) ) ) )).
fof(cc6_ordinal6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_ordinal1(A)))) => ( ( v1_funct_1(C) & v1_funct_2(C,B,k2_ordinal1(A)) ) => ( v1_funct_1(C) & v5_ordinal1(C) & v1_funct_2(C,B,k2_ordinal1(A)) & v1_ordinal2(C) ) ) ) ) )).
fof(cc6_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => v9_osalg_1(B,A) ) ) )).
fof(cc6_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_osalg_4(C,A,B) => ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) ) => ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & v3_osalg_4(C,A,B) ) ) ) ) )).
fof(cc6_pcs_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_pcs_0(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A) ) ) )).
fof(cc6_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v13_pencil_1(B) & v16_pencil_1(B,A) ) => ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) ) ) )).
fof(cc6_poset_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_orders_2(B,A) => ( v1_finset_1(B) & v6_orders_2(B,A) ) ) ) ) )).
fof(cc6_pre_poly,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => v1_card_3(A) ) )).
fof(cc6_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v7_pre_topc(A) & v10_pre_topc(A) ) => v12_pre_topc(A) ) ) )).
fof(cc6_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( v8_prefer_1(A) => v7_prefer_1(A) ) ) )).
fof(cc6_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => v5_relat_1(C,A) ) ) )).
fof(cc6_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v8_rewrite1(A) ) => ( v1_relat_1(A) & v7_rewrite1(A) ) ) )).
fof(cc6_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_ring_2(B,A) => ( ~ v9_struct_0(B,A) & ~ v1_gcd_1(B,A) ) ) ) ) )).
fof(cc6_robbins1,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v8_robbins1(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v6_robbins1(A) & v8_robbins1(A) ) ) ) )).
fof(cc6_robbins4,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v12_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) & v1_robbins4(A) ) ) ) )).
fof(cc6_roughs_1,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_roughs_1(A) => v3_roughs_1(A) ) ) )).
fof(cc6_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ( v4_scmyciel(A) & v6_scmyciel(A) ) ) )).
fof(cc6_sheffer1,axiom,( ! [A] : ( l3_lattices(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v8_lattices(A) & v9_lattices(A) & v17_lattices(A) ) ) ) )).
fof(cc6_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v3_pencil_1(A) & v4_simplex0(A) ) => ~ v5_simplex0(A) ) ) )).
fof(cc6_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v4_pre_topc(B,k15_euclid(A)) & v9_rltopsp1(B,k15_euclid(A)) ) => v2_compts_1(B,k15_euclid(A)) ) ) ) )).
fof(cc6_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal4(A) => ( v2_compts_1(A,k15_euclid(2)) & v1_topreal4(A) ) ) ) )).
fof(cc6_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v7_struct_0(A) => v8_struct_0(A) ) ) )).
fof(cc6_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => v2_tdlat_3(B) ) ) )).
fof(cc6_tex_2,axiom,( ! [A] : ( ( v13_struct_0(A,1) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_xboole_0(B) => ( ~ v1_xboole_0(B) & ~ v1_subset_1(B,u1_struct_0(A)) ) ) ) ) )).
fof(cc6_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v1_tex_2(B,A) => v2_tex_3(B,A) ) ) ) )).
fof(cc6_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_borsuk_1(B,A) & v2_tdlat_3(B) ) => ( ~ v2_struct_0(B) & v4_tex_4(B,A) ) ) ) ) )).
fof(cc6_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ( v3_funct_1(C) => v3_topalg_6(C,A,B) ) ) ) )).
fof(cc6_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v2_topgen_1(B,A) ) => ~ v6_topgen_1(B,A) ) ) ) )).
fof(cc6_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_topgen_4(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc6_topgrp_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) ) ) ) )).
fof(cc6_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_xboole_0(A) => v1_sppol_1(A) ) ) )).
fof(cc6_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v3_tops_1(B,A) ) => v1_xboole_0(B) ) ) ) )).
fof(cc6_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_3(A) ) => ! [B] : ( m1_subset_1(B,A) => ( ~ v1_xboole_0(B) & v1_trees_1(B) ) ) ) )).
fof(cc6_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) ) => ! [B] : ( m1_subset_1(B,k3_trees_9(A)) => v1_finset_1(B) ) ) )).
fof(cc6_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v2_tdlat_3(A) ) ) ) )).
fof(cc6_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tsep_1(B,A) & v1_tex_2(B,A) ) => ~ v2_tsp_2(B,A) ) ) ) )).
fof(cc6_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => ( v1_relat_1(A) & v1_valued_0(A) ) ) )).
fof(cc6_valued_2,axiom,( ! [A] : ( v1_xboole_0(A) => v6_valued_2(A) ) )).
fof(cc6_vectsp_1,axiom,( ! [A] : ( l4_algstr_0(A) => ( ( ~ v2_struct_0(A) & v5_group_1(A) & v6_vectsp_1(A) ) => ( ~ v2_struct_0(A) & v3_vectsp_1(A) ) ) ) )).
fof(cc6_waybel11,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v12_waybel_0(B,A) => v3_waybel11(B,A) ) ) ) )).
fof(cc6_waybel19,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & v2_waybel19(A) ) => ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) ) ) ) )).
fof(cc6_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_waybel23(B,A) => ~ v1_xboole_0(B) ) ) ) )).
fof(cc6_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v1_waybel25(A) ) ) ) )).
fof(cc6_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_waybel30(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_waybel30(A) ) ) ) )).
fof(cc6_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v4_waybel34(C,A,B) ) ) ) ) )).
fof(cc6_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v3_orders_2(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v16_waybel_0(A) ) ) ) )).
fof(cc6_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v9_waybel_1(A) ) => ( ~ v2_struct_0(A) & v2_waybel_1(A) ) ) ) )).
fof(cc6_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v9_waybel_1(A) & v3_lattice3(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v2_waybel_2(A) ) ) ) )).
fof(cc6_waybel_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & v16_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & v2_waybel_3(A) ) ) ) )).
fof(cc6_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( ( v5_waybel_4(B,A) & v6_waybel_4(B,A) & v9_waybel_4(B,A) ) => ( v5_waybel_4(B,A) & v6_waybel_4(B,A) & v8_waybel_4(B,A) ) ) ) ) )).
fof(cc6_xxreal_0,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xxreal_0(A) & ~ v2_xxreal_0(A) ) => ( v1_xxreal_0(A) & v3_xxreal_0(A) ) ) )).
fof(cc6_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v1_finset_1(A) ) => ( v3_membered(A) & v5_xxreal_2(A) ) ) )).
fof(cc6_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v11_pre_topc(A) ) => ( v2_pre_topc(A) & v8_pre_topc(A) ) ) ) )).
fof(cc6_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v9_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) ) => ( ~ v2_struct_0(B) & v2_altcat_1(B) & v9_altcat_1(B) ) ) ) ) )).
fof(cc6_yellow_0,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v4_yellow_0(B,A) => ( v3_orders_2(B) & v4_yellow_0(B,A) ) ) ) ) )).
fof(cc6_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( v8_yellow_6(B,A) => ( v4_yellow_6(B,A) & v5_yellow_6(B,A) & v6_yellow_6(B,A) & v7_yellow_6(B,A) ) ) ) ) )).
fof(cc6_yellow_9,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => ( v4_waybel11(B) => v2_pre_topc(B) ) ) ) )).
fof(cc6_zmodul06,axiom,( ! [A] : ( l1_zmodul01(A) => ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul03(A) & v3_zmodul06(A) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v3_zmodul03(A) & v3_zmodul06(A) ) ) ) )).
fof(cc7_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( ( ~ v6_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) => ( v7_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) ) ) ) )).
fof(cc7_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( ( v4_absred_0(A) & v6_absred_0(A) ) => v7_absred_0(A) ) ) )).
fof(cc7_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) ) )).
fof(cc7_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v9_algstr_0(B,A) & v10_algstr_0(B,A) ) => v11_algstr_0(B,A) ) ) ) )).
fof(cc7_algstr_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) ) ) )).
fof(cc7_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & v17_aofa_a00(B,A) & v20_aofa_a00(B,4,1,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_funct_1(u3_msualg_1(A,B),1)) => v1_int_1(C) ) ) )).
fof(cc7_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v4_msualg_1(B,A) & v17_aofa_a00(B,A) & v22_aofa_a00(B,A,1,1,11) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) => ( v5_ordinal1(C) & v1_finset_1(C) ) ) ) )).
fof(cc7_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) => ( v24_aofa_l00(D,A,B,C) => ~ v1_xboole_0(D) ) ) ) )).
fof(cc7_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v20_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v16_bcialg_1(A) ) ) ) )).
fof(cc7_bhsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_valued_0(C,B) => v1_bhsp_3(C,A) ) ) )).
fof(cc7_card_1,axiom,( ! [A] : ( v3_card_1(A,k5_ordinal1) => v1_xboole_0(A) ) )).
fof(cc7_card_3,axiom,( ! [A] : ( v4_card_3(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_card_3(B) ) ) )).
fof(cc7_cayldick,axiom,( ! [A] : ( l5_algstr_0(A) => ( ( ~ v2_struct_0(A) & v34_algstr_0(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v33_algstr_0(A) & v5_group_1(A) ) ) ) )).
fof(cc7_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & v10_cgames_1(A) ) => ( v2_cgames_1(A) & v6_cgames_1(A) & ~ v7_cgames_1(A) ) ) )).
fof(cc7_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v8_struct_0(B) & m1_circcmb3(B,A) ) => ! [C] : ( m2_circcmb3(C,A,B) => v3_circcmb3(C,B) ) ) )).
fof(cc7_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & v10_closure2(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & v8_closure2(C,A,B) ) ) ) ) )).
fof(cc7_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v8_cohsp_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_cohsp_1(A) ) ) )).
fof(cc7_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v5_compact1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v3_compact1(A) ) ) ) )).
fof(cc7_comput_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_comput_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => v2_margrel1(C) ) ) )).
fof(cc7_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v3_dblseq_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => v3_dblseq_1(B) ) ) )).
fof(cc7_dilworth,axiom,( ! [A] : ( ( v4_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_dilworth(B,A) => ( v1_finset_1(B) & v2_dilworth(B,A) ) ) ) ) )).
fof(cc7_euclid_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ( v5_euclid_7(B,A) => ( ~ v1_xboole_0(B) & v5_euclid_7(B,A) ) ) ) ) )).
fof(cc7_exchsort,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => v5_relat_1(B,A) ) )).
fof(cc7_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finseq_1(A) ) ) )).
fof(cc7_finset_1,axiom,( ! [A] : ( v5_finset_1(A) => ! [B] : ( m1_subset_1(B,A) => v1_finset_1(B) ) ) )).
fof(cc7_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_tarski(k1_xboole_0)) ) => ( v1_relat_1(A) & v3_relat_1(A) ) ) )).
fof(cc7_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v5_fomodel1(B,A) => v10_fomodel1(B,A) ) ) ) )).
fof(cc7_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k15_fomodel2(A,B)) => v1_fomodel2(C,A,B) ) ) )).
fof(cc7_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v1_xboole_0(C) ) => ! [D] : ( v4_fomodel4(D,A,B,C) => v8_fomodel4(D,A,B) ) ) )).
fof(cc7_funct_1,axiom,( ! [A] : ( v1_xboole_0(A) => v4_funct_1(A) ) )).
fof(cc7_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v2_funct_1(C) & v2_funct_2(C,B) ) => ( v1_funct_1(C) & v3_funct_2(C,A,B) ) ) ) )).
fof(cc7_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) & v6_glib_000(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) ) )).
fof(cc7_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_002(A) ) => ! [B] : ( m1_glib_000(B,A) => v2_glib_002(B) ) ) )).
fof(cc7_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_group_7(k1_enumset1(1,2,3),k11_finseq_1(A,B,C)))) => v1_finseq_1(D) ) ) )).
fof(cc7_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => ( v9_gtarski1(A) => ( v2_gtarski1(A) & v3_gtarski1(A) & v4_gtarski1(A) & v5_gtarski1(A) & v6_gtarski1(A) & v7_gtarski1(A) & v8_gtarski1(A) ) ) ) )).
fof(cc7_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tops_1(B,A) => v3_pre_topc(B,A) ) ) ) )).
fof(cc7_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) => ( ~ v2_struct_0(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) ) ) )).
fof(cc7_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v12_lattices(A) ) ) ) )).
fof(cc7_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v2_lfuzzy_0(A) ) => ( ~ v2_struct_0(A) & v3_yellow_0(A) ) ) ) )).
fof(cc7_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & v3_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ! [C] : ( m1_subset_1(C,k2_relset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B)) => v3_ltlaxio3(C) ) ) )).
fof(cc7_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_matroid0(B,A) => ( ~ v1_xboole_0(B) & v1_finset_1(B) ) ) ) ) )).
fof(cc7_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v3_measure1(B,A) ) => ( ~ v1_xboole_0(B) & v1_finsub_1(B) ) ) ) )).
fof(cc7_membered,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_xxreal_0(B) ) ) )).
fof(cc7_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v7_topgen_1(A) & v3_pcomps_1(A) ) => ( v2_pre_topc(A) & v3_pcomps_1(A) & v1_metrizts(A) ) ) ) )).
fof(cc7_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_pre_topc(B) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_mfold_1(B,A) ) => ( ~ v2_struct_0(B) & v2_pre_topc(B) & v4_mfold_1(B) ) ) ) ) )).
fof(cc7_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v1_ringcat1(C,A,B) ) ) ) ) )).
fof(cc7_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v11_monoid_0(A) & v12_monoid_0(A) ) => ( ~ v2_struct_0(A) & v13_monoid_0(A) ) ) ) )).
fof(cc7_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => ( v1_relat_1(D) & v1_funct_1(D) ) ) ) )).
fof(cc7_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),B)) => v7_msafree5(D,A,B,C) ) ) )).
fof(cc7_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v2_mssubfam(C,A,B) => v6_mssubfam(C,A,B) ) ) ) )).
fof(cc7_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_ec_pf_2(A,2) ) => ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) ) )).
fof(cc7_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v16_waybel_0(A) ) => ( ~ v2_struct_0(A) & v1_neckla_3(A) ) ) ) )).
fof(cc7_numpoly1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ! [B] : ( v2_numpoly1(B,A) => v7_ordinal1(B) ) ) )).
fof(cc7_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => v7_ordinal1(A) ) )).
fof(cc7_ordinal5,axiom,( ! [A] : ( ( v3_ordinal1(A) & v5_ordinal5(A) ) => ( ~ v1_xboole_0(A) & v3_ordinal1(A) ) ) )).
fof(cc7_ordinal6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) ) => ( v1_funct_1(C) & v5_ordinal1(C) & v1_funct_2(C,A,B) & v1_ordinal2(C) ) ) ) ) )).
fof(cc7_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_orders_3(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => v12_osalg_1(B,A) ) ) )).
fof(cc7_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( v14_pcs_0(A) => ( v3_orders_2(A) & v4_orders_2(A) & v4_pcs_0(A) & v6_pcs_0(A) & v13_pcs_0(A) ) ) ) )).
fof(cc7_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_pre_poly(A) ) ) )).
fof(cc7_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v7_pre_topc(A) => v6_pre_topc(A) ) ) )).
fof(cc7_relat_1,axiom,( ! [A] : ( v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => ( v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,A) ) ) ) )).
fof(cc7_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v7_rewrite1(A) ) => ( v1_relat_1(A) & v8_rewrite1(A) & v9_rewrite1(A) ) ) )).
fof(cc7_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_ring_2(B,A) => v5_ring_2(B,A) ) ) ) )).
fof(cc7_robbins1,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v6_robbins1(A) & v10_robbins1(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v10_robbins1(A) ) ) ) )).
fof(cc7_robbins4,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v1_robbins3(A) & v3_robbins3(A) & v1_robbins4(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v1_robbins3(A) & v3_robbins3(A) & v9_robbins3(A) & v1_robbins4(A) ) ) ) )).
fof(cc7_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_3(A) & v2_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ v4_roughs_1(B,A) ) ) )).
fof(cc7_roughs_4,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_roughs_1(A) ) ) ) )).
fof(cc7_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v3_pencil_1(A) & v1_matroid0(A) ) => ~ v5_simplex0(A) ) ) )).
fof(cc7_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( ~ v8_struct_0(A) => ~ v7_struct_0(A) ) ) )).
fof(cc7_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v1_tdlat_3(A) ) => ( v2_pre_topc(A) & v3_tdlat_3(A) ) ) ) )).
fof(cc7_tex_2,axiom,( ! [A] : ( ( v13_struct_0(A,1) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & ~ v1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(B) & v1_zfmisc_1(B) ) ) ) ) )).
fof(cc7_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_tex_3(B,A) => v1_tex_2(B,A) ) ) ) )).
fof(cc7_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v1_borsuk_1(B,A) & ~ v4_tex_4(B,A) ) => ( ~ v2_struct_0(B) & ~ v2_tdlat_3(B) ) ) ) ) )).
fof(cc7_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topalg_6(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => v3_topalg_6(C,A,B) ) ) )).
fof(cc7_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => v6_topgen_1(B,A) ) ) ) )).
fof(cc7_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_prob_1(B,u1_struct_0(A)) & v1_topgen_4(B,A) & v3_topgen_4(B,u1_struct_0(A)) ) => ( v2_topgen_4(B,A) & v4_topgen_4(B,u1_struct_0(A)) ) ) ) ) )).
fof(cc7_topgrp_1,axiom,( ! [A] : ( l1_topgrp_1(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v1_topgrp_1(A) ) ) ) )).
fof(cc7_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_xboole_0(A) => v2_sppol_1(A) ) ) )).
fof(cc7_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_trees_3(A) ) => ! [B] : ( m1_subset_1(B,A) => v1_finset_1(B) ) ) )).
fof(cc7_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v3_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) ) ) )).
fof(cc7_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tex_2(B,A) & v2_tsp_2(B,A) ) => ~ v1_tsep_1(B,A) ) ) ) )).
fof(cc7_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) ) )).
fof(cc7_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => v4_funct_1(A) ) )).
fof(cc7_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_waybel23(B,A) => v2_waybel23(B,A) ) ) )).
fof(cc7_waybel25,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => ( v4_waybel11(B) => ( v4_waybel11(B) & v1_waybel25(B) ) ) ) ) )).
fof(cc7_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_waybel30(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_waybel30(A) ) ) ) )).
fof(cc7_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v4_waybel34(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v20_waybel_0(C,A,B) & v5_waybel34(C,A,B) ) ) ) ) )).
fof(cc7_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v19_waybel_0(C,A,B) & v21_waybel_0(C,A,B) ) ) ) ) )).
fof(cc7_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v9_waybel_1(A) ) => ( ~ v2_struct_0(A) & v2_yellow_0(A) ) ) ) )).
fof(cc7_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v3_lattice3(A) & v2_waybel_2(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v9_waybel_1(A) ) ) ) )).
fof(cc7_waybel_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v1_compts_1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v9_pre_topc(A) & v10_pre_topc(A) & v6_waybel_3(A) ) ) ) )).
fof(cc7_xxreal_0,axiom,( ! [A] : ( ( v8_ordinal1(A) & v1_xxreal_0(A) ) => ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & ~ v3_xxreal_0(A) ) ) )).
fof(cc7_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & ~ v1_xboole_0(A) & v4_xxreal_2(A) ) => ( v5_membered(A) & ~ v1_xboole_0(A) & v2_xxreal_2(A) ) ) )).
fof(cc7_yellow13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_yellow13(C,A,B) => ~ v1_xboole_0(C) ) ) )).
fof(cc7_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v1_yellow21(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) ) => ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & v1_yellow21(B) ) ) ) ) )).
fof(cc7_yellow_0,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v4_yellow_0(B,A) => ( v4_orders_2(B) & v4_yellow_0(B,A) ) ) ) ) )).
fof(cc7_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( ( v4_yellow_6(B,A) & v5_yellow_6(B,A) & v6_yellow_6(B,A) & v7_yellow_6(B,A) ) => v8_yellow_6(B,A) ) ) ) )).
fof(cc7_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & l1_pre_topc(B) ) => ! [C] : ( m3_yellow_9(C,A,B) => ~ v2_struct_0(C) ) ) )).
fof(cc8_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( ( ~ v7_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) => ( v6_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) ) ) ) )).
fof(cc8_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) ) )).
fof(cc8_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v11_algstr_0(B,A) => ( v9_algstr_0(B,A) & v10_algstr_0(B,A) ) ) ) ) )).
fof(cc8_algstr_1,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) ) => ( ~ v2_struct_0(A) & v1_vectsp_1(A) & v4_vectsp_1(A) ) ) ) )).
fof(cc8_card_1,axiom,( ! [A] : ( v1_xboole_0(A) => v3_card_1(A,k5_ordinal1) ) )).
fof(cc8_card_3,axiom,( ! [A] : ( v2_card_3(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_card_3(B) ) ) )).
fof(cc8_cayldick,axiom,( ! [A] : ( l5_algstr_0(A) => ( ( ~ v2_struct_0(A) & v31_algstr_0(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v30_algstr_0(A) & v5_group_1(A) ) ) ) )).
fof(cc8_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & v6_cgames_1(A) & ~ v7_cgames_1(A) ) => ( v2_cgames_1(A) & v10_cgames_1(A) ) ) )).
fof(cc8_circcmb3,axiom,( ! [A] : ( ~ v1_facirc_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ~ v1_facirc_1(B) ) ) )).
fof(cc8_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure2(B,A) => ( v13_closure2(B,A) => v12_closure2(B,A) ) ) ) )).
fof(cc8_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v9_cohsp_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v7_cohsp_1(A) & v8_cohsp_1(A) ) ) )).
fof(cc8_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_compact1(A) ) ) ) )).
fof(cc8_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k2_comput_1(k4_ordinal1)) => ( v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v4_valued_0(A) & v2_margrel1(A) ) ) )).
fof(cc8_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_dilworth(A) & v4_dilworth(A) ) => v8_struct_0(A) ) ) )).
fof(cc8_euclid_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_real_ns1(A))) => v3_valued_0(B) ) ) )).
fof(cc8_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_exchsort(A) ) => ! [B] : ( m1_exchsort(B,A) => v3_valued_0(B) ) ) )).
fof(cc8_finseq_1,axiom,( ! [A] : ( v1_xboole_0(A) => v3_finseq_1(A) ) )).
fof(cc8_finset_1,axiom,( ! [A] : ( v5_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v5_finset_1(B) ) ) )).
fof(cc8_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_relat_1(A) ) => ( v1_relat_1(A) & v5_relat_1(A,k1_tarski(k1_xboole_0)) ) ) )).
fof(cc8_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v8_fomodel1(B,A) => ~ v7_fomodel1(B,A) ) ) ) )).
fof(cc8_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v3_fomodel2(B,A,k5_numbers) => v15_fomodel1(B,A) ) ) ) )).
fof(cc8_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [E] : ( v9_fomodel4(E,A,B,k6_subset_1(C,D)) => v9_fomodel4(E,A,B,C) ) ) )).
fof(cc8_funct_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( m1_subset_1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc8_funct_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( v1_relat_2(B) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) ) => ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) ) ) ) )).
fof(cc8_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => v2_glib_000(B) ) ) )).
fof(cc8_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ( v4_glib_002(B,A) => v1_glib_002(B) ) ) ) )).
fof(cc8_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_tops_1(B,A) => v4_pre_topc(B,A) ) ) ) )).
fof(cc8_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) => ( ~ v2_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) ) ) )).
fof(cc8_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & v3_latticea(B,A) ) => ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & v2_filter_2(B,A) ) ) ) ) )).
fof(cc8_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) => ( v18_lattices(B,A) & v19_lattices(B,A) ) ) ) ) )).
fof(cc8_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v2_lfuzzy_0(A) ) => ( ~ v2_struct_0(A) & v3_lattice3(A) & v2_lfuzzy_0(A) ) ) ) )).
fof(cc8_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) => ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) ) ) ) ) )).
fof(cc8_membered,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_xreal_0(B) ) ) )).
fof(cc8_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v5_waybel23(A) ) => ( v2_pre_topc(A) & v1_metrizts(A) ) ) ) )).
fof(cc8_mfold_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_waybel23(A) & v1_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_mfold_1(A,k5_numbers) ) ) ) )).
fof(cc8_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v1_ringcat1(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_mod_4(C,A,B) ) ) ) ) )).
fof(cc8_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v16_monoid_0(A) ) => ( ~ v2_struct_0(A) & v14_monoid_0(A) & v15_monoid_0(A) ) ) ) )).
fof(cc8_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) => ( v1_relat_1(E) & v1_funct_1(E) ) ) ) )).
fof(cc8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & v5_msafree4(D,A,B) & v6_msafree4(D,A,B) & v7_msafree4(D,A,B) & v8_msafree4(D,A,B) & l3_msualg_1(D,A) ) => ! [E] : ( m1_subset_1(E,k3_msualg_1(A,C,D)) => v5_relat_1(E,k3_card_3(u3_msualg_1(A,D))) ) ) )).
fof(cc8_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v6_mssubfam(C,A,B) => v2_relat_1(C) ) ) ) )).
fof(cc8_nat_6,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ( v7_ordinal1(A) & v1_ec_pf_2(A,2) ) ) )).
fof(cc8_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v1_neckla_3(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v16_waybel_0(A) ) ) ) )).
fof(cc8_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_ec_pf_2(A,4) & v1_numpoly1(A) ) => ( v7_ordinal1(A) & ~ v1_int_2(A) & v1_ec_pf_2(A,4) ) ) )).
fof(cc8_ordinal1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => v7_ordinal1(A) ) )).
fof(cc8_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v6_ordinal5(A) ) ) )).
fof(cc8_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,k7_osalg_1(A)) => ~ v1_xboole_0(B) ) ) )).
fof(cc8_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v4_pcs_0(A) & v6_pcs_0(A) & v13_pcs_0(A) ) => v14_pcs_0(A) ) ) )).
fof(cc8_pre_poly,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pre_poly(B) ) ) ) )).
fof(cc8_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v8_pre_topc(A) => v7_pre_topc(A) ) ) )).
fof(cc8_relat_1,axiom,( ! [A] : ( v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => ( v1_xboole_0(B) & v1_relat_1(B) & v5_relat_1(B,A) ) ) ) )).
fof(cc8_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v6_rewrite1(A) ) => ( v1_relat_1(A) & v7_rewrite1(A) ) ) )).
fof(cc8_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ v5_ring_2(B,A) ) ) )).
fof(cc8_robbins1,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v5_robbins1(A) & v10_robbins1(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) ) ) ) )).
fof(cc8_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_isomichi(B,A) => ~ v4_roughs_1(B,A) ) ) ) )).
fof(cc8_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ( v4_scmyciel(A) & v8_scmyciel(A) ) ) )).
fof(cc8_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v4_simplex0(A) => ( v1_matroid0(A) & v2_simplex0(A) ) ) ) )).
fof(cc8_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v2_struct_0(A) => v13_struct_0(A,k5_ordinal1) ) ) )).
fof(cc8_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v2_tdlat_3(A) ) => ( v2_pre_topc(A) & v3_tdlat_3(A) ) ) ) )).
fof(cc8_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v1_zfmisc_1(B) ) => ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(A)) ) ) ) ) )).
fof(cc8_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tsep_1(B,A) & v1_tex_3(B,A) ) => v2_tex_3(B,A) ) ) ) )).
fof(cc8_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( ~ v2_struct_0(B) & v2_tdlat_3(B) & ~ v4_tex_4(B,A) ) => ( ~ v2_struct_0(B) & ~ v1_borsuk_1(B,A) ) ) ) ) )).
fof(cc8_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_topalg_6(A)) => ( ( v5_topalg_6(B,A) & v6_topalg_6(B,A) ) => v7_topalg_6(B,A) ) ) ) )).
fof(cc8_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) & v4_pre_topc(B,A) ) ) ) )).
fof(cc8_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_prob_1(B,u1_struct_0(A)) & v2_topgen_4(B,A) & v4_topgen_4(B,u1_struct_0(A)) ) => ( v1_topgen_4(B,A) & v3_topgen_4(B,u1_struct_0(A)) ) ) ) ) )).
fof(cc8_topgrp_1,axiom,( ! [A] : ( l1_topgrp_1(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & v4_topgrp_1(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v9_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & v4_topgrp_1(A) ) ) ) )).
fof(cc8_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => v2_connsp_1(A,k15_euclid(2)) ) ) )).
fof(cc8_trees_3,axiom,( ! [A] : ( v3_trees_3(A) => v4_funct_1(A) ) )).
fof(cc8_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & v3_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) ) ) ) )).
fof(cc8_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_borsuk_1(B,A) & v2_tsp_2(B,A) ) => ~ v1_tex_2(B,A) ) ) ) )).
fof(cc8_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => ( v1_relat_1(A) & v3_valued_0(A) ) ) )).
fof(cc8_valued_2,axiom,( ! [A] : ( v2_valued_2(A) => v4_funct_1(A) ) )).
fof(cc8_waybel23,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_waybel23(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc8_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_waybel25(A) & l1_pre_topc(A) ) => ! [B] : ( l1_waybel_0(B,k1_waybel25(A)) => ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v10_waybel_0(B,k1_waybel25(A)) ) => ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v10_waybel_0(B,k1_waybel25(A)) & v3_yellow_6(B,k1_waybel25(A)) ) ) ) ) )).
fof(cc8_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( ~ v2_struct_0(A) & v2_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v1_waybel30(A) & v3_waybel30(A) ) ) ) )).
fof(cc8_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v20_waybel_0(C,A,B) & v22_waybel_0(C,A,B) ) ) ) ) )).
fof(cc8_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v11_waybel_1(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & v2_waybel_1(A) & v10_waybel_1(A) ) ) ) )).
fof(cc8_xxreal_0,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & ~ v3_xxreal_0(A) ) => ( v8_ordinal1(A) & v1_xxreal_0(A) ) ) )).
fof(cc8_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & ~ v1_xboole_0(A) & v3_xxreal_2(A) ) => ( v5_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) ) ) )).
fof(cc8_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m2_yellow13(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(cc8_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) ) => ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & v2_yellow21(B) ) ) ) ) )).
fof(cc8_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v4_yellow_0(B,A) => ( v5_orders_2(B) & v4_yellow_0(B,A) ) ) ) ) )).
fof(cc8_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & l1_pre_topc(B) ) => ! [C] : ( m3_yellow_9(C,B,A) => ~ v2_struct_0(C) ) ) )).
fof(cc9_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => v1_xtuple_0(B) ) ) )).
fof(cc9_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) ) )).
fof(cc9_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ( ( v12_algstr_0(A) & v13_algstr_0(A) ) => v14_algstr_0(A) ) ) )).
fof(cc9_algstr_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( v13_struct_0(A,1) => ( v13_struct_0(A,1) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) ) ) ) )).
fof(cc9_card_1,axiom,( ! [A] : ( v3_card_1(A,1) => ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) ) ) )).
fof(cc9_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(A)) => v5_funct_1(B,A) ) ) )).
fof(cc9_cayldick,axiom,( ! [A] : ( l5_algstr_0(A) => ( ( ~ v2_struct_0(A) & v30_algstr_0(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & v31_algstr_0(A) & v5_group_1(A) ) ) ) )).
fof(cc9_cgames_1,axiom,( ! [A] : ( ( v2_cgames_1(A) & v9_cgames_1(A) ) => ( v2_cgames_1(A) & v5_cgames_1(A) & ~ v7_cgames_1(A) ) ) )).
fof(cc9_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure2(B,A) => ( v15_closure2(B,A) => v14_closure2(B,A) ) ) ) )).
fof(cc9_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v10_cohsp_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v4_cohsp_1(A) & v9_cohsp_1(A) ) ) )).
fof(cc9_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_compact1(A) ) ) ) )).
fof(cc9_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k9_comput_1) => v2_margrel1(A) ) )).
fof(cc9_dilworth,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_eqrel_1(B,u1_struct_0(A)) => ( v1_xboole_0(B) => v5_dilworth(B,A) ) ) ) )).
fof(cc9_euclid_7,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k10_funcsdom(A))) => v3_valued_0(B) ) )).
fof(cc9_exchsort,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k9_funct_2(A,B)) => v5_ordinal1(C) ) ) )).
fof(cc9_finseq_1,axiom,( ! [A] : ( v3_finseq_1(A) => v4_funct_1(A) ) )).
fof(cc9_finset_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_finset_1(A) ) ) )).
fof(cc9_fomodel0,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v3_xxreal_0(A) ) => ( v7_ordinal1(A) & v1_int_1(A) ) ) )).
fof(cc9_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v4_fomodel1(B,A) => ~ v7_fomodel1(B,A) ) ) ) )).
fof(cc9_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v15_fomodel1(B,A) => v3_fomodel2(B,A,k5_numbers) ) ) ) )).
fof(cc9_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [E] : ( v9_fomodel4(E,A,B,k6_subset_1(C,D)) => v9_fomodel4(E,A,B,k2_xboole_0(C,D)) ) ) )).
fof(cc9_funct_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_funct_1(B) ) ) )).
fof(cc9_funct_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) ) => ( v1_funct_1(C) & ~ v1_xboole_0(C) & v1_funct_2(C,A,B) ) ) ) ) )).
fof(cc9_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => v3_glib_000(B) ) ) )).
fof(cc9_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => ! [C] : ( m2_glib_000(C,A,k1_glib_002(A,B),k21_glib_000(A,k1_glib_002(A,B))) => v4_glib_002(C,A) ) ) )).
fof(cc9_gtarski1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_metric_1)) => v1_xreal_0(A) ) )).
fof(cc9_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tops_1(B,A) => ( v3_pre_topc(B,A) & v4_tops_1(B,A) ) ) ) ) )).
fof(cc9_lattad_1,axiom,( ! [A] : ( l3_lattices(A) => ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) => ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & v6_lattad_1(A) ) ) ) )).
fof(cc9_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v18_lattices(B,A) => v20_lattices(B,A) ) ) ) )).
fof(cc9_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) ) => ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & v2_waybel_1(A) ) ) ) )).
fof(cc9_membered,axiom,( ! [A] : ( v4_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_rat_1(B) ) ) )).
fof(cc9_metrizts,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v9_pre_topc(A) & v1_metrizts(A) ) => ( v2_pre_topc(A) & v10_pre_topc(A) ) ) ) )).
fof(cc9_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_mod_4(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_funct_2(C,u1_struct_0(B)) & v2_mod_4(C,A,B) ) ) ) ) )).
fof(cc9_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( ( ~ v2_struct_0(A) & v14_monoid_0(A) & v15_monoid_0(A) ) => ( ~ v2_struct_0(A) & v16_monoid_0(A) ) ) ) )).
fof(cc9_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => v3_trees_2(D) ) ) )).
fof(cc9_msafree5,axiom,( ! [A] : ( v6_membered(A) => ( v5_finset_1(A) & v1_ordinal6(A) ) ) )).
fof(cc9_nat_6,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) & ~ v1_abian(A) ) => ( v7_ordinal1(A) & v1_nat_6(A,2) ) ) )).
fof(cc9_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_numpoly1(A,3) ) => ( v7_ordinal1(A) & v1_numpoly1(A) ) ) )).
fof(cc9_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => v6_ordinal1(A) ) )).
fof(cc9_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v6_ordinal5(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_ordinal5(A) ) ) )).
fof(cc9_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( v15_pcs_0(A) => ( v3_orders_2(A) & v4_orders_2(A) & v5_pcs_0(A) & v6_pcs_0(A) & v13_pcs_0(A) ) ) ) )).
fof(cc9_pre_poly,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) => v4_funct_1(B) ) )).
fof(cc9_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_struct_0(A) => v6_pre_topc(A) ) ) )).
fof(cc9_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v8_rewrite1(A) ) => ( v1_relat_1(A) & v5_rewrite1(A) ) ) )).
fof(cc9_ring_2,axiom,( ! [A] : ( l6_algstr_0(A) => ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) ) => ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) ) ) ) )).
fof(cc9_robbins1,axiom,( ! [A] : ( l4_robbins1(A) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v8_robbins1(A) ) => ( ~ v2_struct_0(A) & v10_lattices(A) & v5_robbins1(A) & v8_robbins1(A) ) ) ) )).
fof(cc9_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v4_roughs_1(B,A) => v3_isomichi(B,A) ) ) ) )).
fof(cc9_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_tarski(A))) => ( v1_zfmisc_1(B) => v9_scmyciel(B,A) ) ) ) )).
fof(cc9_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_simplex0(A) => ( v4_matroid0(A) & v3_simplex0(A) ) ) ) )).
fof(cc9_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v13_struct_0(A,k5_ordinal1) => v2_struct_0(A) ) ) )).
fof(cc9_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ~ v2_struct_0(B) => ( ~ v2_struct_0(B) & v3_tdlat_3(B) ) ) ) ) )).
fof(cc9_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & ~ v1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(B) & ~ v1_zfmisc_1(B) ) ) ) ) )).
fof(cc9_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tex_3(B,A) & ~ v2_tex_3(B,A) ) => ~ v1_tsep_1(B,A) ) ) ) )).
fof(cc9_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_topalg_6(A)) => ( v7_topalg_6(B,A) => ( v5_topalg_6(B,A) & v6_topalg_6(B,A) ) ) ) ) )).
fof(cc9_topgen_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v2_pre_topc(A) & v1_orders_4(A) ) => ( v2_pre_topc(A) & v7_topgen_1(A) ) ) ) )).
fof(cc9_topgen_4,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_xboole_0(B) => ( v1_tops_2(B,A) & v2_tops_2(B,A) ) ) ) ) )).
fof(cc9_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => ! [B] : ( m1_subset_1(B,A) => v3_trees_2(B) ) ) )).
fof(cc9_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & ~ v1_tdlat_3(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v3_tdlat_3(A) ) ) ) )).
fof(cc9_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_borsuk_1(B,A) & v1_tex_2(B,A) ) => ~ v2_tsp_2(B,A) ) ) ) )).
fof(cc9_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(A) & v4_valued_0(A) ) ) )).
fof(cc9_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_valued_2(B) ) ) )).
fof(cc9_waybel25,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_waybel25(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))) & v5_pre_topc(C,k1_waybel25(A),k1_waybel25(B)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))) & v22_waybel_0(C,k1_waybel25(A),k1_waybel25(B)) ) ) ) ) )).
fof(cc9_waybel30,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v2_waybel30(A) ) ) ) )).
fof(cc9_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v23_waybel_0(C,A,B) ) => ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) ) ) ) ) )).
fof(cc9_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & v2_waybel_1(A) & v10_waybel_1(A) ) => ( ~ v2_struct_0(A) & v11_waybel_1(A) ) ) ) )).
fof(cc9_xxreal_2,axiom,( ! [A] : ( v6_membered(A) => ( v6_membered(A) & v3_xxreal_2(A) ) ) )).
fof(cc9_yellow13,axiom,( ! [A] : ( l1_waybel_9(A) => ( ( v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) ) => ( v13_struct_0(A,1) & v2_pre_topc(A) & v2_yellow13(A) ) ) ) )).
fof(cc9_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & v4_yellow21(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v2_altcat_2(B,A) & v3_altcat_2(B,A) ) => ( ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & v4_yellow21(B) ) ) ) ) )).
fof(cc9_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v7_yellow_0(B,A) => v5_yellow_0(B,A) ) ) ) )).
fof(commutativity_k10_arytm_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_arytm_3) & m1_subset_1(B,k5_arytm_3) ) => k10_arytm_3(A,B) = k10_arytm_3(B,A) ) )).
fof(commutativity_k10_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k10_bvfunc_1(A,B,C) = k10_bvfunc_1(A,C,B) ) )).
fof(commutativity_k10_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => k10_group_2(A,B,C) = k10_group_2(A,C,B) ) )).
fof(commutativity_k10_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => k10_toprealc(A,B,C) = k10_toprealc(A,C,B) ) )).
fof(commutativity_k10_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k10_xboolean(A,B) = k10_xboolean(B,A) ) )).
fof(commutativity_k11_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k5_margrel1)) & m1_subset_1(C,k4_finseq_2(A,k5_margrel1)) ) => k11_descip_1(A,B,C) = k11_descip_1(A,C,B) ) )).
fof(commutativity_k11_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => k11_openlatt(A,B,C) = k11_openlatt(A,C,B) ) )).
fof(commutativity_k11_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_pnproc_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(B))) ) => k11_pnproc_1(A,B,C,D) = k11_pnproc_1(A,B,D,C) ) )).
fof(commutativity_k11_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k11_polynom1(A,B,C,D) = k11_polynom1(A,B,D,C) ) )).
fof(commutativity_k11_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => k11_pre_poly(A,B,C) = k11_pre_poly(A,C,B) ) )).
fof(commutativity_k11_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k11_rvsum_2(A,B) = k11_rvsum_2(B,A) ) )).
fof(commutativity_k12_fomodel0,axiom,( ! [A] : ! [B] : k12_fomodel0(A,B) = k12_fomodel0(B,A) )).
fof(commutativity_k12_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k12_ideal_1(A,B,C) = k12_ideal_1(A,C,B) ) )).
fof(commutativity_k12_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k12_lattice3(A,B,C) = k12_lattice3(A,C,B) ) )).
fof(commutativity_k12_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => k12_member_1(A,B) = k12_member_1(B,A) ) )).
fof(commutativity_k12_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => k12_openlatt(A,B,C) = k12_openlatt(A,C,B) ) )).
fof(commutativity_k12_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k12_polynom3(A,B,C) = k12_polynom3(A,C,B) ) )).
fof(commutativity_k12_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => k12_rvsum_2(A,B,C) = k12_rvsum_2(A,C,B) ) )).
fof(commutativity_k13_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k13_csspace(A,B,C) = k13_csspace(A,C,B) ) )).
fof(commutativity_k13_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k13_ideal_1(A,B,C) = k13_ideal_1(A,C,B) ) )).
fof(commutativity_k13_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k13_lattice3(A,B,C) = k13_lattice3(A,C,B) ) )).
fof(commutativity_k13_margrel1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k13_margrel1(A,B) = k13_margrel1(B,A) ) )).
fof(commutativity_k13_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => k13_member_1(A,B) = k13_member_1(B,A) ) )).
fof(commutativity_k13_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k12_seq_4(A)) ) => k13_seq_4(A,B,C) = k13_seq_4(A,C,B) ) )).
fof(commutativity_k14_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k14_csspace(A,B,C) = k14_csspace(A,C,B) ) )).
fof(commutativity_k14_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k14_rvsum_1(A,B) = k14_rvsum_1(B,A) ) )).
fof(commutativity_k15_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k15_ideal_1(A,B,C) = k15_ideal_1(A,C,B) ) )).
fof(commutativity_k15_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k15_margrel1(A,B,C) = k15_margrel1(A,C,B) ) )).
fof(commutativity_k15_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k15_mmlquery(A,B,C) = k15_mmlquery(A,C,B) ) )).
fof(commutativity_k15_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => k15_rvsum_1(A,B,C) = k15_rvsum_1(A,C,B) ) )).
fof(commutativity_k16_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => k16_aofa_i00(A,B,C) = k16_aofa_i00(A,C,B) ) )).
fof(commutativity_k16_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k16_mmlquery(A,B,C) = k16_mmlquery(A,C,B) ) )).
fof(commutativity_k17_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) & m1_group_9(D,A,B) ) => k17_group_9(A,B,C,D) = k17_group_9(A,B,D,C) ) )).
fof(commutativity_k18_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k18_valued_1(A,B) = k18_valued_1(B,A) ) )).
fof(commutativity_k19_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k19_bvfunc_1(A,B) = k19_bvfunc_1(B,A) ) )).
fof(commutativity_k19_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k19_mmlquery(A,B,C) = k19_mmlquery(A,C,B) ) )).
fof(commutativity_k19_msafree5,axiom,( ! [A] : ! [B] : k19_msafree5(A,B) = k19_msafree5(B,A) )).
fof(commutativity_k19_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k19_valued_1(A,B,C,D,E) = k19_valued_1(A,B,C,E,D) ) )).
fof(commutativity_k1_arytm_0,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k1_arytm_0(A,B) = k1_arytm_0(B,A) ) )).
fof(commutativity_k1_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_asympt_0(A,B) = k1_asympt_0(B,A) ) )).
fof(commutativity_k1_binarith,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k1_binarith(A,B) = k1_binarith(B,A) ) )).
fof(commutativity_k1_borsuk_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_topmetr)) & v1_xreal_0(B) ) => k1_borsuk_7(A,B) = k1_borsuk_7(B,A) ) )).
fof(commutativity_k1_bvfunc25,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k1_bvfunc25(A,B) = k1_bvfunc25(B,A) ) )).
fof(commutativity_k1_card_2,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v1_card_1(B) ) => k1_card_2(A,B) = k1_card_2(B,A) ) )).
fof(commutativity_k1_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v3_valued_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v3_valued_0(C) ) => k1_euclid_9(A,B,C) = k1_euclid_9(A,C,B) ) )).
fof(commutativity_k1_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k1_extreal1(A,B) = k1_extreal1(B,A) ) )).
fof(commutativity_k1_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k1_finsub_1(A,B,C) = k1_finsub_1(A,C,B) ) )).
fof(commutativity_k1_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_fuzzy_1(A,B,C) = k1_fuzzy_1(A,C,B) ) )).
fof(commutativity_k1_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k1_geomtrap(A,B,C) = k1_geomtrap(A,C,B) ) )).
fof(commutativity_k1_grnilp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => k1_grnilp_1(A,B,C) = k1_grnilp_1(A,C,B) ) )).
fof(commutativity_k1_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k1_groeb_3(A,B,C,D) = k1_groeb_3(A,B,D,C) ) )).
fof(commutativity_k1_hausdorf,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => k1_hausdorf(A,B,C) = k1_hausdorf(A,C,B) ) )).
fof(commutativity_k1_helly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k1_helly(A,B) = k1_helly(B,A) ) )).
fof(commutativity_k1_jct_misc,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => k1_jct_misc(A,B) = k1_jct_misc(B,A) ) )).
fof(commutativity_k1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_lfuzzy_1(A,B,C) = k1_lfuzzy_1(A,C,B) ) )).
fof(commutativity_k1_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k1_lpspacc1(A,B,C,D) = k1_lpspacc1(A,B,D,C) ) )).
fof(commutativity_k1_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k1_measure1(A,B,C,D) = k1_measure1(A,B,D,C) ) )).
fof(commutativity_k1_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) ) => k1_nat_1(A,B) = k1_nat_1(B,A) ) )).
fof(commutativity_k1_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => k1_normform(A,B,C,D) = k1_normform(A,B,D,C) ) )).
fof(commutativity_k1_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k1_rltopsp1(A,B,C) = k1_rltopsp1(A,C,B) ) )).
fof(commutativity_k1_series_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_membered(A) & v7_membered(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => k1_series_1(A,B,C) = k1_series_1(A,C,B) ) )).
fof(commutativity_k1_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k1_setlim_2(A,B,C) = k1_setlim_2(A,C,B) ) )).
fof(commutativity_k1_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => k1_topreal6(A,B,C) = k1_topreal6(A,C,B) ) )).
fof(commutativity_k1_tsep_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => k1_tsep_1(A,B,C) = k1_tsep_1(A,C,B) ) )).
fof(commutativity_k1_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k1_valued_1(A,B) = k1_valued_1(B,A) ) )).
fof(commutativity_k1_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k1_xxreal_3(A,B) = k1_xxreal_3(B,A) ) )).
fof(commutativity_k1_yellow20,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => k1_yellow20(A,B) = k1_yellow20(B,A) ) )).
fof(commutativity_k20_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k20_bvfunc_1(A,B) = k20_bvfunc_1(B,A) ) )).
fof(commutativity_k20_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k20_mmlquery(A,B,C) = k20_mmlquery(A,C,B) ) )).
fof(commutativity_k20_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k20_valued_1(A,B,C,D,E) = k20_valued_1(A,B,C,E,D) ) )).
fof(commutativity_k21_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k21_bvfunc_1(A,B) = k21_bvfunc_1(B,A) ) )).
fof(commutativity_k21_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => k21_quaterni(A,B) = k21_quaterni(B,A) ) )).
fof(commutativity_k22_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k22_rvsum_1(A,B) = k22_rvsum_1(B,A) ) )).
fof(commutativity_k22_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_membered(B) & v5_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k22_valued_1(A,B,C,D,E) = k22_valued_1(A,B,C,E,D) ) )).
fof(commutativity_k22_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_zmodul02(B,A) & m1_zmodul02(C,A) ) => k22_zmodul02(A,B,C) = k22_zmodul02(A,C,B) ) )).
fof(commutativity_k2_aff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k2_aff_1(A,B,C) = k2_aff_1(A,C,B) ) )).
fof(commutativity_k2_arytm_0,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k2_arytm_0(A,B) = k2_arytm_0(B,A) ) )).
fof(commutativity_k2_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => k2_arytm_3(A,B) = k2_arytm_3(B,A) ) )).
fof(commutativity_k2_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k2_bhsp_1(A,B,C) = k2_bhsp_1(A,C,B) ) )).
fof(commutativity_k2_binarith,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k2_binarith(A,B) = k2_binarith(B,A) ) )).
fof(commutativity_k2_bvfunc25,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k2_bvfunc25(A,B) = k2_bvfunc25(B,A) ) )).
fof(commutativity_k2_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k2_bvfunc_1(A,B,C) = k2_bvfunc_1(A,C,B) ) )).
fof(commutativity_k2_card_2,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v1_card_1(B) ) => k2_card_2(A,B) = k2_card_2(B,A) ) )).
fof(commutativity_k2_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_eqrel_1(A,B,C) = k2_eqrel_1(A,C,B) ) )).
fof(commutativity_k2_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => k2_euclid_4(A,B,C) = k2_euclid_4(A,C,B) ) )).
fof(commutativity_k2_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_fuzzy_1(A,B,C) = k2_fuzzy_1(A,C,B) ) )).
fof(commutativity_k2_fuzzy_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_fuzzy_2(A,B,C) = k2_fuzzy_2(A,C,B) ) )).
fof(commutativity_k2_gate_1,axiom,( ! [A] : ! [B] : k2_gate_1(A,B) = k2_gate_1(B,A) )).
fof(commutativity_k2_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => k2_groeb_2(A,B,C) = k2_groeb_2(A,C,B) ) )).
fof(commutativity_k2_int_2,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => k2_int_2(A,B) = k2_int_2(B,A) ) )).
fof(commutativity_k2_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k2_lfuzzy_0(A,B,C) = k2_lfuzzy_0(A,C,B) ) )).
fof(commutativity_k2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_lfuzzy_1(A,B,C) = k2_lfuzzy_1(A,C,B) ) )).
fof(commutativity_k2_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => k2_lopclset(A,B,C) = k2_lopclset(A,C,B) ) )).
fof(commutativity_k2_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k2_measure1(A,B,C,D) = k2_measure1(A,B,D,C) ) )).
fof(commutativity_k2_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_morph_01(A,B,C) = k2_morph_01(A,C,B) ) )).
fof(commutativity_k2_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k2_nat_1(A,B) = k2_nat_1(B,A) ) )).
fof(commutativity_k2_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => k2_normform(A,B,C,D) = k2_normform(A,B,D,C) ) )).
fof(commutativity_k2_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => k2_openlatt(A,B,C) = k2_openlatt(A,C,B) ) )).
fof(commutativity_k2_partit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => k2_partit1(A,B,C) = k2_partit1(A,C,B) ) )).
fof(commutativity_k2_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k2_pboole(A,B,C) = k2_pboole(A,C,B) ) )).
fof(commutativity_k2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k2_pcs_0(A,B,C,D,E,F) = k2_pcs_0(A,B,C,D,F,E) ) )).
fof(commutativity_k2_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => k2_pnproc_1(A,B,C) = k2_pnproc_1(A,C,B) ) )).
fof(commutativity_k2_pzfmisc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k2_pzfmisc1(A,B,C) = k2_pzfmisc1(A,C,B) ) )).
fof(commutativity_k2_setfam_1,axiom,( ! [A] : ! [B] : k2_setfam_1(A,B) = k2_setfam_1(B,A) )).
fof(commutativity_k2_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k2_setlim_2(A,B,C) = k2_setlim_2(A,C,B) ) )).
fof(commutativity_k2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_substlat(A,B)) & m1_subset_1(D,k1_substlat(A,B)) ) => k2_substlat(A,B,C,D) = k2_substlat(A,B,D,C) ) )).
fof(commutativity_k2_tarski,axiom,( ! [A] : ! [B] : k2_tarski(A,B) = k2_tarski(B,A) )).
fof(commutativity_k2_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k2_topgen_4(A,B,C) = k2_topgen_4(A,C,B) ) )).
fof(commutativity_k2_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k2_valued_1(A,B,C,D,E) = k2_valued_1(A,B,C,E,D) ) )).
fof(commutativity_k2_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) ) => k2_vectsp_5(A,B,C,D) = k2_vectsp_5(A,B,D,C) ) )).
fof(commutativity_k2_xboole_0,axiom,( ! [A] : ! [B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) )).
fof(commutativity_k2_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k2_xcmplx_0(A,B) = k2_xcmplx_0(B,A) ) )).
fof(commutativity_k2_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_yellow_4(A,B,C) = k2_yellow_4(A,C,B) ) )).
fof(commutativity_k33_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k33_aofa_i00(A,B,C,D,E,F) = k33_aofa_i00(A,B,C,D,F,E) ) )).
fof(commutativity_k34_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k34_aofa_i00(A,B,C,D,E,F) = k34_aofa_i00(A,B,C,D,F,E) ) )).
fof(commutativity_k34_gate_1,axiom,( ! [A] : ! [B] : k34_gate_1(A,B) = k34_gate_1(B,A) )).
fof(commutativity_k3_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => k3_armstrng(A,B,C) = k3_armstrng(A,C,B) ) )).
fof(commutativity_k3_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => k3_arytm_3(A,B) = k3_arytm_3(B,A) ) )).
fof(commutativity_k3_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_boolealg(A,B,C) = k3_boolealg(A,C,B) ) )).
fof(commutativity_k3_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k3_bvfunc25(A,B,C) = k3_bvfunc25(A,C,B) ) )).
fof(commutativity_k3_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k3_bvfunc_1(A,B) = k3_bvfunc_1(B,A) ) )).
fof(commutativity_k3_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => k3_closure3(A,B,C,D) = k3_closure3(A,B,D,C) ) )).
fof(commutativity_k3_complsp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => k3_complsp2(A,B,C) = k3_complsp2(A,C,B) ) )).
fof(commutativity_k3_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k3_eqrel_1(A,B,C) = k3_eqrel_1(A,C,B) ) )).
fof(commutativity_k3_finance1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k3_finance1(A,B) = k3_finance1(B,A) ) )).
fof(commutativity_k3_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k3_finsub_1(A,B,C) = k3_finsub_1(A,C,B) ) )).
fof(commutativity_k3_fuzzy_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k3_fuzzy_2(A,B,C) = k3_fuzzy_2(A,C,B) ) )).
fof(commutativity_k3_gate_1,axiom,( ! [A] : ! [B] : k3_gate_1(A,B) = k3_gate_1(B,A) )).
fof(commutativity_k3_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k3_group_2(A,B,C) = k3_group_2(A,C,B) ) )).
fof(commutativity_k3_hausdorf,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => k3_hausdorf(A,B,C) = k3_hausdorf(A,C,B) ) )).
fof(commutativity_k3_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => k3_idea_1(A,B,C) = k3_idea_1(A,C,B) ) )).
fof(commutativity_k3_int_2,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => k3_int_2(A,B) = k3_int_2(B,A) ) )).
fof(commutativity_k3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_lattices(A,B,C) = k3_lattices(A,C,B) ) )).
fof(commutativity_k3_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_lfuzzy_0(A,B,C) = k3_lfuzzy_0(A,C,B) ) )).
fof(commutativity_k3_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => k3_lopclset(A,B,C) = k3_lopclset(A,C,B) ) )).
fof(commutativity_k3_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k3_lpspacc1(A,B,C,D) = k3_lpspacc1(A,B,D,C) ) )).
fof(commutativity_k3_member_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k3_member_1(A,B) = k3_member_1(B,A) ) )).
fof(commutativity_k3_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => k3_mesfunc1(A,B,C) = k3_mesfunc1(A,C,B) ) )).
fof(commutativity_k3_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_metric_1(A,B,C) = k3_metric_1(A,C,B) ) )).
fof(commutativity_k3_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_midsp_1(A,B,C) = k3_midsp_1(A,C,B) ) )).
fof(commutativity_k3_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k3_nagata_1(A,B,C) = k3_nagata_1(A,C,B) ) )).
fof(commutativity_k3_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => k3_openlatt(A,B,C) = k3_openlatt(A,C,B) ) )).
fof(commutativity_k3_partit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => k3_partit1(A,B,C) = k3_partit1(A,C,B) ) )).
fof(commutativity_k3_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k3_pboole(A,B,C) = k3_pboole(A,C,B) ) )).
fof(commutativity_k3_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => k3_random_1(A,B,C,D) = k3_random_1(A,B,D,C) ) )).
fof(commutativity_k3_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k3_real_1(A,B) = k3_real_1(B,A) ) )).
fof(commutativity_k3_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_rlvect_1(A) & l1_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_rlvect_1(A,B,C) = k3_rlvect_1(A,C,B) ) )).
fof(commutativity_k3_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k3_rvsum_2(A,B) = k3_rvsum_2(B,A) ) )).
fof(commutativity_k3_setfam_1,axiom,( ! [A] : ! [B] : k3_setfam_1(A,B) = k3_setfam_1(B,A) )).
fof(commutativity_k3_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k3_setwiseo(A,B,C) = k3_setwiseo(A,C,B) ) )).
fof(commutativity_k3_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k3_supinf_2(A,B) = k3_supinf_2(B,A) ) )).
fof(commutativity_k3_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k3_topgen_4(A,B,C) = k3_topgen_4(A,C,B) ) )).
fof(commutativity_k3_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k3_valued_1(A,B,C,D,E) = k3_valued_1(A,B,C,E,D) ) )).
fof(commutativity_k3_vfunct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k3_vfunct_2(A,B,C,D) = k3_vfunct_2(A,B,D,C) ) )).
fof(commutativity_k3_xboole_0,axiom,( ! [A] : ! [B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) )).
fof(commutativity_k3_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k3_xcmplx_0(A,B) = k3_xcmplx_0(B,A) ) )).
fof(commutativity_k3_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k3_xxreal_0(A,B) = k3_xxreal_0(B,A) ) )).
fof(commutativity_k3_yellow_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_yellow_5(A,B,C) = k3_yellow_5(A,C,B) ) )).
fof(commutativity_k3_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => k3_zf_refle(A,B,C) = k3_zf_refle(A,C,B) ) )).
fof(commutativity_k4_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k4_bhsp_1(A,B,C) = k4_bhsp_1(A,C,B) ) )).
fof(commutativity_k4_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k4_bvfunc25(A,B,C) = k4_bvfunc25(A,C,B) ) )).
fof(commutativity_k4_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k4_bvfunc_1(A,B) = k4_bvfunc_1(B,A) ) )).
fof(commutativity_k4_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k4_catalan2(A,B) = k4_catalan2(B,A) ) )).
fof(commutativity_k4_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => k4_closure3(A,B,C,D) = k4_closure3(A,B,D,C) ) )).
fof(commutativity_k4_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k4_eqrel_1(A,B,C) = k4_eqrel_1(A,C,B) ) )).
fof(commutativity_k4_gate_1,axiom,( ! [A] : ! [B] : k4_gate_1(A,B) = k4_gate_1(B,A) )).
fof(commutativity_k4_jordan1k,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & v2_compts_1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => k4_jordan1k(A,B,C) = k4_jordan1k(A,C,B) ) )).
fof(commutativity_k4_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k4_lattices(A,B,C) = k4_lattices(A,C,B) ) )).
fof(commutativity_k4_matrix13,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k4_matrix13(A,B) = k4_matrix13(B,A) ) )).
fof(commutativity_k4_msualg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msualg_4(C,A,B) & m1_msualg_4(C,A,B,B) & v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) => k4_msualg_5(A,B,C,D) = k4_msualg_5(A,B,D,C) ) )).
fof(commutativity_k4_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k4_nat_1(A,B) = k4_nat_1(B,A) ) )).
fof(commutativity_k4_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => k4_quofield(A,B,C) = k4_quofield(A,C,B) ) )).
fof(commutativity_k4_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k4_real_1(A,B) = k4_real_1(B,A) ) )).
fof(commutativity_k4_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k4_robbins3(A,B,C) = k4_robbins3(A,C,B) ) )).
fof(commutativity_k4_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k4_rvsum_1(A,B) = k4_rvsum_1(B,A) ) )).
fof(commutativity_k4_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => k4_rvsum_2(A,B,C) = k4_rvsum_2(A,C,B) ) )).
fof(commutativity_k4_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k4_setlim_2(A,B,C) = k4_setlim_2(A,C,B) ) )).
fof(commutativity_k4_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ) )).
fof(commutativity_k4_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k4_xboolean(A,B) = k4_xboolean(B,A) ) )).
fof(commutativity_k4_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k4_xxreal_0(A,B) = k4_xxreal_0(B,A) ) )).
fof(commutativity_k4_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k4_xxreal_3(A,B) = k4_xxreal_3(B,A) ) )).
fof(commutativity_k4_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k4_yellow_4(A,B,C) = k4_yellow_4(A,C,B) ) )).
fof(commutativity_k5_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_arytm_2) & m1_subset_1(B,k1_arytm_2) ) => k5_arytm_2(A,B) = k5_arytm_2(B,A) ) )).
fof(commutativity_k5_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k5_asympt_0(A,B) = k5_asympt_0(B,A) ) )).
fof(commutativity_k5_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k5_bvfunc25(A,B,C) = k5_bvfunc25(A,C,B) ) )).
fof(commutativity_k5_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k5_bvfunc_1(A,B,C) = k5_bvfunc_1(A,C,B) ) )).
fof(commutativity_k5_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k5_classes2(A,B,C) = k5_classes2(A,C,B) ) )).
fof(commutativity_k5_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_convex4(B,A) & m1_convex4(C,A) ) => k5_convex4(A,B,C) = k5_convex4(A,C,B) ) )).
fof(commutativity_k5_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k5_eqrel_1(A,B,C) = k5_eqrel_1(A,C,B) ) )).
fof(commutativity_k5_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k5_extreal1(A,B) = k5_extreal1(B,A) ) )).
fof(commutativity_k5_gate_1,axiom,( ! [A] : ! [B] : k5_gate_1(A,B) = k5_gate_1(B,A) )).
fof(commutativity_k5_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => k5_lang1(A,B,C,D) = k5_lang1(A,B,D,C) ) )).
fof(commutativity_k5_matrixc1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => k5_matrixc1(A,B) = k5_matrixc1(B,A) ) )).
fof(commutativity_k5_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => k5_mesfunc1(A,B,C) = k5_mesfunc1(A,C,B) ) )).
fof(commutativity_k5_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k5_nat_1(A,B) = k5_nat_1(B,A) ) )).
fof(commutativity_k5_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k5_nat_d(A,B) = k5_nat_d(B,A) ) )).
fof(commutativity_k5_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k5_pboole(A,B,C) = k5_pboole(A,C,B) ) )).
fof(commutativity_k5_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k5_prob_1(A,B,C,D) = k5_prob_1(A,B,D,C) ) )).
fof(commutativity_k5_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v2_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => k5_quofield(A,B,C) = k5_quofield(A,C,B) ) )).
fof(commutativity_k5_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k5_rfunct_3(A,B,C,D) = k5_rfunct_3(A,B,D,C) ) )).
fof(commutativity_k5_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k5_rltopsp1(A,B,C) = k5_rltopsp1(A,C,B) ) )).
fof(commutativity_k5_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k5_robbins1(A,B,C) = k5_robbins1(A,C,B) ) )).
fof(commutativity_k5_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k5_robbins3(A,B,C) = k5_robbins3(A,C,B) ) )).
fof(commutativity_k5_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => k5_rvsum_1(A,B,C) = k5_rvsum_1(A,C,B) ) )).
fof(commutativity_k5_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_scmfsa_m(A,B) = k5_scmfsa_m(B,A) ) )).
fof(commutativity_k5_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => k5_setwiseo(A,B,C) = k5_setwiseo(A,C,B) ) )).
fof(commutativity_k5_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ) )).
fof(commutativity_k5_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => k5_supinf_2(A,B) = k5_supinf_2(B,A) ) )).
fof(commutativity_k5_xboole_0,axiom,( ! [A] : ! [B] : k5_xboole_0(A,B) = k5_xboole_0(B,A) )).
fof(commutativity_k5_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k5_xboolean(A,B) = k5_xboolean(B,A) ) )).
fof(commutativity_k6_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_arytm_2) & m1_subset_1(B,k1_arytm_2) ) => k6_arytm_2(A,B) = k6_arytm_2(B,A) ) )).
fof(commutativity_k6_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k6_bhsp_1(A,B,C) = k6_bhsp_1(A,C,B) ) )).
fof(commutativity_k6_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => k6_bilinear(A,B,C,D,E) = k6_bilinear(A,B,C,E,D) ) )).
fof(commutativity_k6_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k6_bvfunc25(A,B,C) = k6_bvfunc25(A,C,B) ) )).
fof(commutativity_k6_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k6_bvfunc_1(A,B,C) = k6_bvfunc_1(A,C,B) ) )).
fof(commutativity_k6_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k6_extreal1(A,B) = k6_extreal1(B,A) ) )).
fof(commutativity_k6_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k6_fuzzy_1(A,B,C) = k6_fuzzy_1(A,C,B) ) )).
fof(commutativity_k6_gate_1,axiom,( ! [A] : ! [B] : k6_gate_1(A,B) = k6_gate_1(B,A) )).
fof(commutativity_k6_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k6_nat_d(A,B) = k6_nat_d(B,A) ) )).
fof(commutativity_k6_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k6_polynom1(A,B,C,D) = k6_polynom1(A,B,D,C) ) )).
fof(commutativity_k6_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k6_prob_1(A,B,C,D) = k6_prob_1(A,B,D,C) ) )).
fof(commutativity_k6_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => k6_quaterni(A,B) = k6_quaterni(B,A) ) )).
fof(commutativity_k6_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => k6_random_1(A,B,C,D) = k6_random_1(A,B,D,C) ) )).
fof(commutativity_k6_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k6_robbins1(A,B,C) = k6_robbins1(A,C,B) ) )).
fof(commutativity_k6_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k6_vfunct_1(A,B,C,D) = k6_vfunct_1(A,B,D,C) ) )).
fof(commutativity_k6_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_zmodul01(C,A) ) => k6_zmodul01(A,B,C) = k6_zmodul01(A,C,B) ) )).
fof(commutativity_k7_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_arytm_2) & m1_subset_1(B,k2_arytm_2) ) => k7_arytm_2(A,B) = k7_arytm_2(B,A) ) )).
fof(commutativity_k7_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(k4_chain_1(A,B,C))) & m1_subset_1(E,k1_zfmisc_1(k4_chain_1(A,B,C))) ) => k7_chain_1(A,B,C,D,E) = k7_chain_1(A,B,C,E,D) ) )).
fof(commutativity_k7_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k7_classes2(A,B,C) = k7_classes2(A,C,B) ) )).
fof(commutativity_k7_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k7_domain_1(A,B,C) = k7_domain_1(A,C,B) ) )).
fof(commutativity_k7_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => k7_euclid(A,B,C) = k7_euclid(A,C,B) ) )).
fof(commutativity_k7_gate_1,axiom,( ! [A] : ! [B] : k7_gate_1(A,B) = k7_gate_1(B,A) )).
fof(commutativity_k7_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k7_rfunct_3(A,B,C,D) = k7_rfunct_3(A,B,D,C) ) )).
fof(commutativity_k7_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) ) => k7_rlvect_2(A,B,C) = k7_rlvect_2(A,C,B) ) )).
fof(commutativity_k7_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k7_rusub_4(A,B,C) = k7_rusub_4(A,C,B) ) )).
fof(commutativity_k7_seq_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => k7_seq_4(A,B) = k7_seq_4(B,A) ) )).
fof(commutativity_k7_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k7_xboolean(A,B) = k7_xboolean(B,A) ) )).
fof(commutativity_k7_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_zmodul01(C,A) ) => k7_zmodul01(A,B,C) = k7_zmodul01(A,C,B) ) )).
fof(commutativity_k8_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_arytm_2) & m1_subset_1(B,k2_arytm_2) ) => k8_arytm_2(A,B) = k8_arytm_2(B,A) ) )).
fof(commutativity_k8_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k8_bvfunc_1(A,B) = k8_bvfunc_1(B,A) ) )).
fof(commutativity_k8_group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k8_group_1(A,B,C) = k8_group_1(A,C,B) ) )).
fof(commutativity_k8_matrixc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => k8_matrixc1(A,B,C) = k8_matrixc1(A,C,B) ) )).
fof(commutativity_k8_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => k8_member_1(A,B) = k8_member_1(B,A) ) )).
fof(commutativity_k8_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => k8_ordinal3(A,B) = k8_ordinal3(B,A) ) )).
fof(commutativity_k8_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k8_polynom3(A,B,C) = k8_polynom3(A,C,B) ) )).
fof(commutativity_k8_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k8_subset_1(A,B,C) = k8_subset_1(A,C,B) ) )).
fof(commutativity_k8_topalg_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k5_topmetr)) & m1_subset_1(B,u1_struct_0(k5_topmetr)) ) => k8_topalg_7(A,B) = k8_topalg_7(B,A) ) )).
fof(commutativity_k8_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k8_xboolean(A,B) = k8_xboolean(B,A) ) )).
fof(commutativity_k9_arytm_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_arytm_3) & m1_subset_1(B,k5_arytm_3) ) => k9_arytm_3(A,B) = k9_arytm_3(B,A) ) )).
fof(commutativity_k9_margrel1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k9_margrel1(A,B) = k9_margrel1(B,A) ) )).
fof(commutativity_k9_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => k9_member_1(A,B) = k9_member_1(B,A) ) )).
fof(commutativity_k9_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => k9_ordinal3(A,B) = k9_ordinal3(B,A) ) )).
fof(commutativity_k9_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k9_subset_1(A,B,C) = k9_subset_1(A,C,B) ) )).
fof(commutativity_k9_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k9_xboolean(A,B) = k9_xboolean(B,A) ) )).
fof(connectedness_r1_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_arytm_2) & m1_subset_1(B,k2_arytm_2) ) => ( r1_arytm_2(A,B) | r1_arytm_2(B,A) ) ) )).
fof(connectedness_r1_ordinal1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( r1_ordinal1(A,B) | r1_ordinal1(B,A) ) ) )).
fof(connectedness_r1_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => ( r1_xxreal_0(A,B) | r1_xxreal_0(B,A) ) ) )).
fof(connectedness_r3_arytm_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_arytm_3) & m1_subset_1(B,k5_arytm_3) ) => ( r3_arytm_3(A,B) | r3_arytm_3(B,A) ) ) )).
fof(d10_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_abcmiz_0(A) ) => ( v9_abcmiz_0(A) <=> ( v1_funct_1(u3_abcmiz_0(A)) & v1_funct_2(u3_abcmiz_0(A),u1_struct_0(A),u1_struct_0(k7_lattice3(k2_yellow_1(u1_abcmiz_0(A))))) & v20_waybel_0(u3_abcmiz_0(A),A,k7_lattice3(k2_yellow_1(u1_abcmiz_0(A)))) & m1_subset_1(u3_abcmiz_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k7_lattice3(k2_yellow_1(u1_abcmiz_0(A))))))) ) ) ) )).
fof(d10_abcmiz_a,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v6_trees_3(D) ) => ( D = k11_abcmiz_a(A,B,C) <=> C = k4_trees_4(k1_funct_1(C,k1_xboole_0),D) ) ) ) ) ) )).
fof(d10_absred_0,axiom,( ! [A] : ( ( v1_absred_0(A) & l1_absred_0(A) ) => ( A = k2_absred_0 <=> ( u1_struct_0(A) = k1_enumset1(k5_ordinal1,1,2) & u1_absred_0(A) = k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_enumset1(k5_ordinal1,1,2)) ) ) ) )).
fof(d10_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v10_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & r2_hidden(C,B) & r2_hidden(F,B) & r1_aff_1(A,C,D,G) & r1_aff_1(A,C,E,H) & r2_analoaf(A,D,E,G,H) & r2_analoaf(A,D,F,G,I) & r2_analoaf(A,E,F,H,I) & r2_aff_1(A,D,E,B) ) => ( r2_hidden(D,B) | C = F | D = E | r2_hidden(I,B) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k8_afinsq_1(A)) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ( C = k8_afinsq_2(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),k8_afinsq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),k8_afinsq_1(A)))) & ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => k4_binop_1(k8_afinsq_1(A),D,E,F) = k15_afinsq_1(A,E,F) ) ) & C = k6_afinsq_2(k8_afinsq_1(A),B,D) ) ) ) ) )).
fof(d10_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k10_afproj(A) = k2_xboole_0(k2_zfmisc_1(k1_afproj(A),k1_tarski(1)),k2_zfmisc_1(k8_afproj(A),k1_tarski(2))) ) )).
fof(d10_afvect0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ( r4_afvect0(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & r3_afvect0(A,B,C) ) ) ) ) )).
fof(d10_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_alg_1(B,A) => k4_alg_1(A,B) = g1_unialg_1(k8_eqrel_1(u1_struct_0(A),B),k3_alg_1(A,B)) ) ) )).
fof(d10_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_algstr_0(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_algstr_0(A,C,B) = k4_struct_0(A) ) ) ) ) )).
fof(d10_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v32_algstr_0(A) & v6_algstr_1(A) & l5_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k9_algstr_0(A,B) <=> k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) ) )).
fof(d10_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_algstr_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k6_algstr_0(A,C,D),B) ) ) ) ) ) ) )).
fof(d10_altcat_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( v4_funct_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(B,A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(B,A)) & v1_funcop_1(C) & v7_altcat_1(C) ) => C = k6_altcat_1(A,B) ) ) ) )).
fof(d10_altcat_3,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v7_altcat_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_altcat_1(A,C,B)) & r2_tarski(D,k1_altcat_1(A,C,B)) & v1_zfmisc_1(k1_altcat_1(A,C,B)) ) ) ) ) ) )).
fof(d10_altcat_5,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( r2_tarski(k4_card_3(C),B) => k2_altcat_5(A,B,C) = k4_card_3(C) ) ) ) )).
fof(d10_altcat_6,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k3_altcat_6(A,B,C) <=> ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_funct_1(C,E),k3_card_3(k3_msafree(A,C))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(C,E),k3_card_3(k3_msafree(A,C))))) ) => ~ ( k1_funct_1(D,E) = F & ! [G] : ( r2_hidden(G,k1_funct_1(C,E)) => k1_funct_1(F,G) = k4_tarski(G,E) ) ) ) ) ) ) ) ) )).
fof(d10_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k9_ami_3(A,B) = k3_xtuple_0(8,k9_finseq_1(A),k9_finseq_1(B)) ) ) )).
fof(d10_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( v5_ami_wstd(C,A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_ami_wstd(A,B,E,D) => r2_tarski(E,k1_relset_1(k4_ordinal1,C)) ) ) ) ) ) ) ) ) )).
fof(d10_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ( v6_amistd_1(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) & v5_memstr_0(D,A,B,k5_numbers) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( r1_tarski(C,E) => r1_extpro_1(A,B,E,D) ) ) ) ) ) ) ) )).
fof(d10_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r5_analmetr(A,B,C,D) <=> r2_analoaf(A,B,C,B,D) ) ) ) ) ) )).
fof(d10_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ( v3_anproj_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B != D & C != D & r1_collsp(A,B,C,D) ) ) ) ) ) )).
fof(d10_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_unialg_1(A) ) => ( v3_aofa_000(A) <=> ( r2_tarski(1,k4_finseq_1(u1_unialg_1(A))) & ~ v1_xboole_0(k1_funct_1(u1_unialg_1(A),1)) & v1_funct_1(k1_funct_1(u1_unialg_1(A),1)) & v2_margrel1(k1_funct_1(u1_unialg_1(A),1)) & v3_margrel1(k1_funct_1(u1_unialg_1(A),1),u1_struct_0(A)) & v8_comput_1(k1_funct_1(u1_unialg_1(A),1),k5_numbers) & m1_subset_1(k1_funct_1(u1_unialg_1(A),1),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) ) ) )).
fof(d10_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => k7_aofa_a01(A,B,C,D) = k29_aofa_a00(A,C,D,k27_aofa_a00(A,C,D),k27_aofa_a00(A,C,D)) ) ) ) ) )).
fof(d10_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( D = k9_aofa_i00(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k4_numbers,D,E) = k3_xcmplx_0(k3_funct_2(A,k4_numbers,B,E),C) ) ) ) ) ) ) )).
fof(d10_armstrng,axiom,( ! [A] : k7_armstrng(A) = a_1_1_armstrng(A) )).
fof(d10_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( ( B = k1_xboole_0 => k8_arytm_3(A,B) = k1_xboole_0 ) & ( k4_arytm_3(B,A) = 1 => k8_arytm_3(A,B) = k4_arytm_3(A,B) ) & ~ ( B != k1_xboole_0 & k4_arytm_3(B,A) != 1 & k8_arytm_3(A,B) != k4_tarski(k4_arytm_3(A,B),k4_arytm_3(B,A)) ) ) ) ) )).
fof(d10_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k7_asympt_0(A) = a_1_1_asympt_0(A) ) )).
fof(d10_bagorder,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_partfun1(C,k15_pre_poly(k1_nat_1(A,1))) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(A,1)),k15_pre_poly(k1_nat_1(A,1))))) ) => ! [D] : ( ( v1_partfun1(D,k15_pre_poly(k7_nat_d(B,k1_nat_1(A,1)))) & v1_relat_2(D) & v4_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k7_nat_d(B,k1_nat_1(A,1))),k15_pre_poly(k7_nat_d(B,k1_nat_1(A,1)))))) ) => ! [E] : ( ( v1_partfun1(E,k15_pre_poly(B)) & v1_relat_2(E) & v4_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) ) => ( E = k8_bagorder(A,B,C,D) <=> ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & v4_valued_0(F) & v2_pre_poly(F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,B) & v1_funct_1(G) & v1_partfun1(G,B) & v4_valued_0(G) & v2_pre_poly(G) ) => ( r2_hidden(k4_tarski(F,G),E) <=> ( ( k1_bagorder(B,k5_numbers,k1_nat_1(A,1),F) != k1_bagorder(B,k5_numbers,k1_nat_1(A,1),G) & r2_hidden(k4_tarski(k1_bagorder(B,k5_numbers,k1_nat_1(A,1),F),k1_bagorder(B,k5_numbers,k1_nat_1(A,1),G)),C) ) | ( k1_bagorder(B,k5_numbers,k1_nat_1(A,1),F) = k1_bagorder(B,k5_numbers,k1_nat_1(A,1),G) & r2_hidden(k4_tarski(k1_bagorder(B,k1_nat_1(A,1),B,F),k1_bagorder(B,k1_nat_1(A,1),B,G)),D) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( m1_bcialg_1(B,A) <=> ( k4_struct_0(B) = k4_struct_0(A) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_bcialg_1(B) = k1_realset1(u1_bcialg_1(A),u1_struct_0(B)) ) ) ) ) )).
fof(d10_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( m2_bcialg_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_hidden(k4_tarski(k1_bcialg_1(A,E,C),k1_bcialg_1(A,E,D)),B) ) ) ) ) ) ) ) )).
fof(d10_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m1_bcialg_3(B,A) <=> ( r2_hidden(k4_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_hidden(k1_bcialg_1(A,k1_bcialg_1(A,C,D),E),B) & r2_hidden(E,B) ) => r2_hidden(k1_bcialg_1(A,C,k1_bcialg_1(A,D,k1_bcialg_1(A,D,C))),B) ) ) ) ) ) ) ) ) )).
fof(d10_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k8_bcialg_4(A,B) = a_2_0_bcialg_4(A,B) ) ) )).
fof(d10_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ! [C] : ( m5_bcialg_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k9_bcialg_2(A,C))) & v2_bcialg_6(D,A,k9_bcialg_2(A,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k9_bcialg_2(A,C))))) ) => ( D = k5_bcialg_6(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k9_bcialg_2(A,C)),D,E) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),C,E) ) ) ) ) ) ) )).
fof(d10_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( F = k9_bilinear(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),F,G,H) = k6_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G),k3_funct_2(u1_struct_0(C),u1_struct_0(A),E,H)) ) ) ) ) ) ) ) ) ) )).
fof(d10_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r5_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k1_binop_1(B,k1_binop_1(C,D,E),F) = k1_binop_1(C,k1_binop_1(B,D,F),k1_binop_1(B,E,F)) ) ) ) ) ) ) )).
fof(d10_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) ) => ( A = k10_binop_2 <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_binop_1(A,B,C) = k6_xcmplx_0(B,C) ) ) ) ) )).
fof(d10_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) ) => ( m1_borsuk_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => ! [D] : ( m2_connsp_2(D,A,C) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(E,A) & r1_tarski(C,E) & r1_tarski(E,D) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(F,B) => ( r1_xboole_0(F,E) | r1_tarski(F,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) => ( A = k8_borsuk_6 <=> ! [B] : ( r2_tarski(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) & ? [D] : ( m1_subset_1(D,u1_struct_0(k5_topmetr)) & B = k4_borsuk_1(k5_topmetr,k5_topmetr,C,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_xcmplx_0(2,C),1)) ) ) ) ) ) )).
fof(d10_borsuk_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_toprealb(2))) => ! [C] : ! [D] : ( m1_borsuk_2(D,k8_toprealb(2),A,B) => ( r2_tarski(C,k8_relset_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k1_tarski(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)))) ) => ( E = k16_borsuk_7(A,B,C,D) <=> ( k1_funct_1(E,k5_numbers) = C & r2_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k8_toprealb(2)),D,k1_partfun1(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),E,k12_toprealb)) & v5_pre_topc(E,k17_borsuk_1,k3_topmetr) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)))) ) => ( ( v5_pre_topc(F,k17_borsuk_1,k3_topmetr) & r2_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k8_toprealb(2)),D,k1_partfun1(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),F,k12_toprealb)) & k1_funct_1(F,k5_numbers) = C ) => r2_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr),E,F) ) ) ) ) ) ) ) ) ) )).
fof(d10_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( B = k11_bvfunc_1(A) <=> ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k5_margrel1,B,C) = k6_margrel1 ) ) ) ) )).
fof(d10_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => k7_bvfunc_2(A,B,C,D) = k17_bvfunc_1(A,B,k5_bvfunc_2(A,D,C)) ) ) ) ) )).
fof(d10_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_c0sp1(B,A) <=> ( v1_ideal_1(B,A) & v1_c0sp1(B,A) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k1_rlvect_1(A,D,C),B) ) ) ) ) ) ) ) )).
fof(d10_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r5_calcul_1(A,B,C) <=> ? [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) & r1_tarski(k2_relset_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),D)),C) & k2_calcul_1(A,D) = B & r4_calcul_1(A,D) ) ) ) ) ) )).
fof(d10_card_3,axiom,( ! [A] : ( v2_card_3(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => k9_xtuple_0(B) = k9_xtuple_0(C) ) ) ) ) )).
fof(d10_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => k4_card_fil(A) = a_1_1_card_fil(A) ) )).
fof(d10_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ( v6_cat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_cat_1(C,A,B,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( k2_cat_1(A,B,D) != k1_xboole_0 => ! [E] : ( m1_cat_1(E,A,B,D) => k1_cat_1(A,C,E) = E ) ) & ( k2_cat_1(A,D,B) != k1_xboole_0 => ! [E] : ( m1_cat_1(E,A,D,B) => k1_cat_1(A,E,C) = E ) ) ) ) ) ) ) ) )).
fof(d10_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => k12_cat_2(A,B) = k9_funct_3(u4_struct_0(A),u4_struct_0(B)) ) ) )).
fof(d10_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) ) => ! [E] : ( m2_cat_1(E,A,D) => ! [F] : ( m1_cat_1(F,A,B,C) => k9_cat_3(A,B,C,D,E,F) = k3_funct_2(u4_struct_0(A),u4_struct_0(D),E,F) ) ) ) ) ) ) ) )).
fof(d10_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_1(E,A,D,B) => ! [F] : ( m1_cat_1(F,A,D,C) => ~ ( k2_cat_1(A,D,B) != k1_xboole_0 & k2_cat_1(A,D,C) != k1_xboole_0 & ~ ! [G] : ( m1_cat_1(G,A,D,k2_cat_4(A,B,C)) => ( G = k9_cat_4(A,B,C,D,E,F) <=> ( k5_cat_1(A,D,k2_cat_4(A,B,C),B,G,k7_cat_4(A,B,C)) = E & k5_cat_1(A,D,k2_cat_4(A,B,C),C,G,k8_cat_4(A,B,C)) = F ) ) ) ) ) ) ) ) ) ) )).
fof(d10_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k10_cat_5(A,B) = k8_relset_1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),k6_domain_1(u1_struct_0(A),B)) ) ) )).
fof(d10_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v8_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( ( r1_cat_6(A,B,C) & r1_cat_6(A,C,D) & r1_cat_6(A,k2_cat_6(A,B,C),D) & r1_cat_6(A,B,k2_cat_6(A,C,D)) ) => k2_cat_6(A,B,k2_cat_6(A,C,D)) = k2_cat_6(A,k2_cat_6(A,B,C),D) ) ) ) ) ) ) )).
fof(d10_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ( r1_cat_7(A,B,C) <=> ? [D] : ( m1_cat_7(D,A,B,C) & v5_cat_7(D,A,B,C) ) ) ) ) ) )).
fof(d10_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : k7_catalg_1(A,B,C) = k4_tarski(2,k11_finseq_1(A,B,C)) )).
fof(d10_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k7_cc0sp1(A) = g1_clopban2(k2_cc0sp1(A),k2_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k1_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k1_cc0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k4_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k3_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k6_cc0sp1(A)) ) )).
fof(d10_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k9_cc0sp2(A) = g2_clvect_1(k6_cc0sp2(A),k8_csspace(k6_cfuncdom(u1_struct_0(A)),k6_cc0sp2(A)),k1_c0sp1(k6_cfuncdom(u1_struct_0(A)),k6_cc0sp2(A)),k7_csspace(k6_cfuncdom(u1_struct_0(A)),k6_cc0sp2(A)),k8_cc0sp2(A)) ) )).
fof(d10_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v3_cgames_1(A) <=> ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => v2_cgames_1(k1_funct_1(A,B)) ) ) ) )).
fof(d10_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k4_chain_1(A,B,A)) => ( C = k8_chain_1(A,B) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) & ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & C = k3_chain_1(A,D,E) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) => ( ~ r1_xxreal_0(k1_funct_1(D,F),k1_funct_1(E,F)) & m2_chain_1(k4_tarski(k1_funct_1(D,F),k1_funct_1(E,F)),k2_chain_1(A,B,F)) ) ) ) ) ) ) ) ) )).
fof(d10_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v5_chord(B,A) <=> ? [C] : ( v7_ordinal1(C) & ~ v1_abian(C) & ? [D] : ( v7_ordinal1(D) & ~ v1_abian(D) & ~ r1_xxreal_0(D,k1_nat_1(C,2)) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) != k1_funct_1(B,D) & ? [E] : r1_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,D),E) & ! [E] : ~ ( r2_hidden(E,k14_glib_001(A,B)) & r1_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,D),E) ) ) ) ) ) ) )).
fof(d10_circcmb3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_circcmb3(B,A) => ! [C] : ( ( v4_msafree2(C,B) & l3_msualg_1(C,B) ) => ( m2_circcmb3(C,A,B) <=> ( v4_circcomb(C,B) & v3_funct_1(u3_msualg_1(B,C)) & k3_funct_1(u3_msualg_1(B,C)) = A ) ) ) ) ) )).
fof(d10_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v4_circcomb(B,A) <=> ! [C] : ( r2_tarski(C,u4_struct_0(A)) => C = k4_tarski(k1_xtuple_0(C),k1_funct_1(u4_msualg_1(A,B),C)) ) ) ) ) )).
fof(d10_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( r2_circtrm1(A,B) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v2_funct_1(C) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v2_funct_1(D) & r1_circtrm1(A,B,C,D) ) ) ) ) ) )).
fof(d10_classes1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r2_classes1(A,B) <=> ! [C] : k1_card_1(k10_relat_1(A,C)) = k1_card_1(k10_relat_1(B,C)) ) ) ) )).
fof(d10_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_clopban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k12_clopban1(A,B,C) = a_3_0_clopban1(A,B,C) ) ) ) )).
fof(d10_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clopban2(A) ) => ( v3_clopban2(A) <=> k2_normsp_0(A,k5_struct_0(A)) = 1 ) ) )).
fof(d10_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) ) => ( v7_closure2(C,A,B) <=> ! [D] : ( m1_closure2(D,A,B,k6_closure2(A,B)) => r2_pboole(A,D,k7_closure2(A,B,C,D)) ) ) ) ) )).
fof(d10_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => k4_clvect_1(A) = g1_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_clvect_1(A)) ) )).
fof(d10_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_clvect_2(B,A) <=> ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A,k8_nat_1(u1_struct_0(A),B,D)),C) ) ) ) ) ) )).
fof(d10_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => ( k7_coh_sp(A,B) = k6_coh_sp(A,C) => k9_coh_sp(A,B,C) = k4_tarski(k4_tarski(k6_coh_sp(A,B),k7_coh_sp(A,C)),k3_relat_1(k2_xfamily(B),k2_xfamily(C))) ) ) ) )).
fof(d10_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v5_cohsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_xtuple_0(A))) => ( ( v1_cohsp_1(B) & r2_tarski(k3_tarski(B),k9_xtuple_0(A)) ) => k1_funct_1(A,k3_tarski(B)) = k3_tarski(k7_relat_1(A,B)) ) ) ) ) )).
fof(d10_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A))) => k4_combgras(A,B,C,D) = k7_relat_1(u1_combgras(A,B,C),D) ) ) ) ) )).
fof(d10_compl_sp,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B)))),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B)))),k1_numbers))) ) => ( D = k2_compl_sp(A,B,C) <=> ! [E] : ( m1_subset_1(E,k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B)))) => ! [F] : ( m1_subset_1(F,k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B)))) => ! [G] : ! [H] : ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( E = k4_tarski(G,I) & F = k4_tarski(H,J) ) => ( ( G = H => k2_binop_1(k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k1_numbers,D,E,F) = k1_metric_1(A,I,J) ) & ( G != H => k2_binop_1(k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k1_numbers,D,E,F) = k2_xcmplx_0(k1_metric_1(A,I,B),k1_metric_1(A,B,J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => k2_compos_1(A) = k9_compos_0(u1_compos_1(A)) ) )).
fof(d10_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( m2_rfunct_3(E,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ( E = k6_comput_1(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) & E = k8_nat_1(k2_comput_1(k4_ordinal1),F,k7_partfun1(k4_ordinal1,D,C)) & ( ( r2_tarski(C,k4_finseq_1(D)) & r2_tarski(k2_finseq_3(C,D),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k5_numbers) = k17_funcop_1(k2_funct_7(k4_ordinal1,D,C,k5_numbers),k1_recdef_1(A,k2_finseq_3(C,D))) ) & ( ~ ( r2_tarski(C,k4_finseq_1(D)) & r2_tarski(k2_finseq_3(C,D),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k5_numbers) = k1_xboole_0 ) & ! [G] : ( v7_ordinal1(G) => ( ( ( r2_tarski(C,k4_finseq_1(D)) & r2_tarski(k1_funct_7(D,C,G),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),F,G))) & r2_tarski(k7_finseq_1(k1_funct_7(D,C,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k1_funct_7(D,C,G)))),k1_relset_1(k3_finseq_2(k4_ordinal1),B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k1_nat_1(G,1)) = k1_funct_4(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k17_funcop_1(k2_funct_7(k4_ordinal1,D,C,k1_nat_1(G,1)),k1_recdef_1(B,k7_finseq_1(k1_funct_7(D,C,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k1_funct_7(D,C,G))))))) ) & ( ~ ( r2_tarski(C,k4_finseq_1(D)) & r2_tarski(k1_funct_7(D,C,G),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),F,G))) & r2_tarski(k7_finseq_1(k1_funct_7(D,C,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k1_funct_7(D,C,G)))),k1_relset_1(k3_finseq_2(k4_ordinal1),B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k1_nat_1(G,1)) = k8_nat_1(k2_comput_1(k4_ordinal1),F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( l2_conlat_1(B,A) => ( v6_conlat_1(B,A) <=> ( k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),u2_conlat_1(A,B)) = u3_conlat_1(A,B) & k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),u3_conlat_1(A,B)) = u2_conlat_1(A,B) ) ) ) ) )).
fof(d10_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => k8_convex4(A,B) = k7_convex4(A,k4_xcmplx_0(k6_complex1),B) ) ) )).
fof(d10_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => k13_cqc_sim1(A,B) = k25_qc_lang1(A,k12_cqc_sim1(A,B)) ) ) )).
fof(d10_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_cqc_the1(B,A) <=> r2_tarski(B,k4_cqc_the1(A)) ) ) ) )).
fof(d10_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) => ( v1_xboole_0(B) | k8_csspace(A,B) = k4_struct_0(A) ) ) ) ) )).
fof(d10_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => k9_csspace4(A,B) = g2_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k8_csspace4(A,B)) ) ) )).
fof(d10_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_decomp_1(A,B) = k4_subset_1(u1_struct_0(A),k1_decomp_1(A,B),k2_decomp_1(A,B)) ) ) )).
fof(d10_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( v4_dickson(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ? [C] : ( r1_dickson(A,B,C) & v1_finset_1(C) ) ) ) ) )).
fof(d10_diff_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k10_diff_1(A,B,C,D) = k7_xcmplx_0(k6_xcmplx_0(k9_diff_1(A,B,C),k9_diff_1(A,C,D)),k6_xcmplx_0(B,D)) ) ) ) ) )).
fof(d10_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v2_struct_0(A) => ( B = k6_dilworth(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> r3_waybel_4(A,k2_struct_0(A),C) ) ) ) ) & ( v2_struct_0(A) => ( B = k6_dilworth(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d10_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_matrprob(B) & m2_finseq_1(B,k1_numbers) ) => ( m1_dist_1(B,A) <=> ( k3_finseq_1(B) = k4_card_1(A) & ? [C] : ( m2_finseq_1(C,A) & k4_dist_1(A,C) = B ) ) ) ) ) )).
fof(d10_dtconstr,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_dtconstr(k5_dtconstr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_dtconstr(k5_dtconstr)))) ) => ( A = k14_dtconstr <=> ( k8_nat_1(k4_dtconstr(k5_dtconstr),A,k5_numbers) = k2_trees_4(k4_ordinal1,k5_numbers) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_dtconstr(k5_dtconstr),A,k1_nat_1(B,1)) = k13_dtconstr(k8_nat_1(k4_dtconstr(k5_dtconstr),A,B)) ) ) ) ) )).
fof(d10_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k8_dualsp01(A)))) => ( B = k11_dualsp01(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v2_hahnban(C,A) & v3_hahnban(C,A) & v1_dualsp01(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) ) )).
fof(d10_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k8_e_siec(A) = k4_xboole_0(u1_struct_0(A),k7_e_siec(A)) ) )).
fof(d10_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m2_subset_1(B,k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k3_ec_pf_1(k9_int_3(A))) => ! [C] : ( m2_subset_1(C,k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k3_ec_pf_1(k9_int_3(A))) => ( r1_ec_pf_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(A))) & D != k4_struct_0(k9_int_3(A)) & k1_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B) = k8_group_1(k9_int_3(A),D,k1_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),C)) & k2_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B) = k8_group_1(k9_int_3(A),D,k2_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),C)) & k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B) = k8_group_1(k9_int_3(A),D,k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),C)) ) ) ) ) ) )).
fof(d10_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_ens_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A),A))) ) => ( B = k9_ens_1(A) <=> ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => k3_funct_2(k2_ens_1(A),A,B,C) = k4_ens_1(A,C) ) ) ) ) )).
fof(d10_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => k7_entropy1(A) = k6_entropy1(k2_entropy1(k1_numbers,A)) ) )).
fof(d10_euclid,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k18_euclid(A) = k1_funct_1(A,2) ) )).
fof(d10_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( r1_euclid_3(A,B,C) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,D),k1_rlvect_1(k15_euclid(A),C,E)) = k4_struct_0(k15_euclid(A)) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d10_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ( C = k4_euclid_7(A,B) <=> ( k3_finseq_1(B) = k3_finseq_1(C) & k1_funct_1(B,1) = k1_funct_1(C,1) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(B),D) | k1_funct_1(C,k1_nat_1(D,1)) = k7_euclid(A,k7_partfun1(k1_euclid(A),C,D),k7_partfun1(k1_euclid(A),B,k1_nat_1(D,1))) ) ) ) ) ) ) ) ) )).
fof(d10_exchsort,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ( v5_exchsort(B,A) <=> ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(C,k9_xtuple_0(B)) & r2_tarski(D,k9_xtuple_0(B)) & r2_tarski(C,D) ) => r1_orders_2(A,k7_partfun1(u1_struct_0(A),B,C),k7_partfun1(u1_struct_0(A),B,D)) ) ) ) ) ) ) )).
fof(d10_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) ) => ( v4_extpro_1(D,A,B,C) <=> ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(B)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(C,E) & r1_tarski(C,F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(B)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(A,B)) & v1_partfun1(G,u1_struct_0(B)) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(B)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(A,B)) & v1_partfun1(H,u1_struct_0(B)) ) => ( ( r1_tarski(D,G) & r1_tarski(D,H) ) => ! [I] : ( v7_ordinal1(I) => k5_relat_1(k5_extpro_1(A,B,E,G,I),k9_xtuple_0(D)) = k5_relat_1(k5_extpro_1(A,B,F,H,I),k9_xtuple_0(D)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => k6_facirc_1(A,B,C) = k7_circcomb(2,k5_margrel1,C,k10_finseq_1(A,B)) ) )).
fof(d10_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k10_ff_siec(A) = k2_xboole_0(k1_net_1(A),k4_relat_1(k2_net_1(A))) ) )).
fof(d10_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_filter_0(A,B,C) = k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,C,B)) ) ) ) )).
fof(d10_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_filter_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(k4_lattices(A,C,D),B) <=> ( r2_tarski(C,B) | r2_tarski(D,B) ) ) ) ) ) ) ) )).
fof(d10_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k10_fin_topo(A,B) = a_2_3_fin_topo(A,B) ) ) )).
fof(d10_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : k11_finseq_1(A,B,C) = k7_finseq_1(k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),k9_finseq_1(C)) )).
fof(d10_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k7_finseq_8(A,B,C,D) <=> ( ( E != k5_numbers => ( r1_xxreal_0(D,E) & r1_tarski(C,k2_rfinseq(A,k7_nat_d(E,1),B)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(D,F) & r1_tarski(C,k2_rfinseq(A,k7_nat_d(F,1),B)) ) => ( r1_xxreal_0(F,k5_numbers) | r1_xxreal_0(E,F) ) ) ) ) ) & ~ ( E = k5_numbers & r2_finseq_8(A,B,C,D) ) ) ) ) ) ) ) ) )).
fof(d10_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k9_fintopo2(A,B) = a_2_1_fintopo2(A,B) ) ) )).
fof(d10_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_fintopo3(A,B,C) = k7_fintopo3(A,k1_fin_topo(A,C),B) ) ) ) )).
fof(d10_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( v2_fomodel0(C,A,B) <=> ! [D] : ! [E] : ! [F] : ! [G] : ( ( r2_tarski(D,k3_xboole_0(C,A)) & r2_tarski(E,k3_xboole_0(C,A)) & r2_tarski(F,A) & r2_tarski(G,A) & k1_binop_1(B,D,F) = k1_binop_1(B,E,G) ) => ( D = E & F = G ) ) ) ) ) )).
fof(d10_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k10_fomodel1(A) = k6_subset_1(k1_fomodel1(A),k1_tarski(k8_fomodel1(A))) ) )).
fof(d10_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k35_fomodel1(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),B))) ) => ( D = k9_fomodel2(A,B,C) <=> ! [E] : ( m2_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)) => k3_funct_2(k35_fomodel1(A),B,D,E) = k8_fomodel2(A,B,C,E) ) ) ) ) ) ) )).
fof(d10_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ! [E] : ( m2_fomodel2(E,A,B,C) => ( ( ~ v7_fomodel1(C,A) => ( v2_fomodel3(E,A,B,C,D) <=> v1_fomodel3(E,k9_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C))),D) ) ) & ( v7_fomodel1(C,A) => ( v2_fomodel3(E,A,B,C,D) <=> v1_fomodel3(E,k9_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C))),k3_fomodel2(k5_margrel1)) ) ) ) ) ) ) ) ) )).
fof(d10_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_freealg(B) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_funct_1(D) & v2_margrel1(D) & v3_margrel1(D,k4_dtconstr(k3_freealg(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))))) ) => ( D = k5_freealg(A,B,C) <=> ( k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),D) = k4_finseq_2(k7_partfun1(k4_ordinal1,A,C),k4_dtconstr(k3_freealg(A,B))) & ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))) => ( r2_tarski(E,k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),D)) => k1_funct_1(D,E) = k8_trees_4(u1_struct_0(k3_freealg(A,B)),k4_freealg(A,B,C),E) ) ) ) ) ) ) ) ) ) )).
fof(d10_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r5_fsm_1(A,B,C,D,E) <=> ! [F] : ( m2_finseq_1(F,A) => k4_fsm_1(A,B,C,D,F) = k4_fsm_1(A,B,C,E,F) ) ) ) ) ) ) ) )).
fof(d10_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k10_ftacell1(A,B,C,D,E) = k24_gfacirc1(A,B,C) )).
fof(d10_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)))) ) => D = k18_funcop_1(A,B,C) ) )).
fof(d10_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v3_funct_1(A) <=> ! [B] : ! [C] : ( ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) ) => k1_funct_1(A,B) = k1_funct_1(A,C) ) ) ) )).
fof(d10_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(B))) => ( E = k7_funct_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) => ( r2_tarski(F,E) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) & r2_tarski(G,D) & F = k7_relset_1(A,B,C,G) ) ) ) ) ) ) ) ) ) )).
fof(d10_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k9_funct_6(A) = k3_funct_5(k2_funct_5(A)) ) )).
fof(d10_funct_7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m2_funct_7(B,A) <=> ( k1_nat_1(k3_finseq_1(B),1) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r2_tarski(k1_funct_1(B,C),k1_funct_2(k1_funct_1(A,C),k1_funct_1(A,k1_nat_1(C,1)))) ) ) ) ) ) ) )).
fof(d10_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( l1_functor0(C,A,B) => ( v6_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),D,D) = k4_tarski(k3_functor0(A,B,C,D),k3_functor0(A,B,C,D)) ) ) ) ) ) )).
fof(d10_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => ! [C] : ( m1_fvaluat1(C,A) => ( C = k5_fvaluat1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k6_numbers,B,D) = k4_xxreal_3(k3_funct_2(u1_struct_0(A),k6_numbers,C,D),k1_fvaluat1(k2_relset_1(k6_numbers,B))) ) ) ) ) ) ) )).
fof(d10_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k10_gate_5(A,B,C,D,E,F) = k10_gate_1(k7_gate_5(A,B,C,D,E),k2_gate_1(A,F),k1_xboole_0) )).
fof(d10_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k10_gfacirc1(A,B,C) = k8_facirc_1(A,B,C,k1_facirc_1) )).
fof(d10_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_glib_000(A) <=> ( r2_tarski(k1_glib_000,k1_relset_1(k4_ordinal1,A)) & r2_tarski(k2_glib_000,k1_relset_1(k4_ordinal1,A)) & r2_tarski(k3_glib_000,k1_relset_1(k4_ordinal1,A)) & r2_tarski(k4_glib_000,k1_relset_1(k4_ordinal1,A)) & ~ v1_xboole_0(k6_glib_000(A)) & v1_funct_1(k8_glib_000(A)) & v1_funct_2(k8_glib_000(A),k7_glib_000(A),k6_glib_000(A)) & m1_subset_1(k8_glib_000(A),k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),k6_glib_000(A)))) & v1_funct_1(k9_glib_000(A)) & v1_funct_2(k9_glib_000(A),k7_glib_000(A),k6_glib_000(A)) & m1_subset_1(k9_glib_000(A),k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),k6_glib_000(A)))) ) ) ) )).
fof(d10_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( ( k4_glib_001(A,B) = k3_glib_001(A,C) => k7_glib_001(A,B,C) = k4_graph_2(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B,C) ) & ( k4_glib_001(A,B) != k3_glib_001(A,C) => k7_glib_001(A,B,C) = B ) ) ) ) ) )).
fof(d10_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( v5_glib_002(B,A) <=> ! [C] : ( m2_glib_000(C,A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) => r2_tarski(k4_glib_002(A),k4_glib_002(C)) ) ) ) ) )).
fof(d10_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( ( v1_glib_003(B) & m1_glib_000(B,A) ) => ( v4_glib_003(B,A) <=> k5_glib_003(B) = k5_relat_1(k5_glib_003(A),k25_glib_000(A,B)) ) ) ) )).
fof(d10_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_glib_005(C,A,B) => ( ( k2_glib_005(A,B,C) = k1_xboole_0 => k3_glib_005(A,B,C) = C ) & ~ ( k2_glib_005(A,B,C) != k1_xboole_0 & ~ r2_tarski(k1_funct_1(k10_glib_000(A),o_3_0_glib_005(A,B,C)),k1_relset_1(k6_glib_000(A),C)) & k3_glib_005(A,B,C) != k1_funct_4(C,k17_funcop_1(k1_funct_1(k10_glib_000(A),o_3_0_glib_005(A,B,C)),o_3_0_glib_005(A,B,C))) ) & ~ ( k2_glib_005(A,B,C) != k1_xboole_0 & ~ ( k2_glib_005(A,B,C) != k1_xboole_0 & ~ r2_tarski(k1_funct_1(k10_glib_000(A),o_3_0_glib_005(A,B,C)),k1_relset_1(k6_glib_000(A),C)) ) & k3_glib_005(A,B,C) != k1_funct_4(C,k17_funcop_1(k1_funct_1(k11_glib_000(A),o_3_0_glib_005(A,B,C)),o_3_0_glib_005(A,B,C))) ) ) ) ) ) )).
fof(d10_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( v7_ordinal1(C) => k6_goedcpuc(A,B,C) = k1_funct_1(o_2_1_goedcpuc(A,B),C) ) ) ) )).
fof(d10_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( v5_graph_1(A) <=> ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ~ ( r1_subset_1(u1_struct_0(B),u1_struct_0(C)) & r1_graph_1(A,B,C) ) ) ) ) ) )).
fof(d10_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ( B != k1_xboole_0 => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( C = k7_graph_2(A,B) <=> ( r1_graph_2(A,C,B) & k1_funct_1(C,1) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,1)) ) ) ) ) ) ) )).
fof(d10_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) => ! [C] : ( m2_finseq_2(C,u4_struct_0(A),k9_graph_3(A)) => ( r1_xboole_0(k10_xtuple_0(B),k10_xtuple_0(C)) => ( r1_xboole_0(k1_graph_3(A,k10_xtuple_0(B)),k1_graph_3(A,k10_xtuple_0(C))) | ! [D] : ( m2_finseq_2(D,u4_struct_0(A),k9_graph_3(A)) => ( D = k11_graph_3(A,B,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & E = o_3_2_graph_3(A,B,C) & D = k8_finseq_1(u4_struct_0(A),k10_graph_3(A,E,B),k10_graph_3(A,E,C)) ) ) ) ) ) ) ) ) )).
fof(d10_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => k6_graph_5(A,B) = a_2_3_graph_5(A,B) ) ) )).
fof(d10_graphsp,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( D = k14_graphsp(A,B,C) <=> ( ~ ( A != k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => ~ ( E = D & r2_tarski(E,A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,A) => r1_xxreal_0(k7_partfun1(k1_numbers,B,k2_xcmplx_0(k3_xcmplx_0(2,C),E)),k7_partfun1(k1_numbers,B,k2_xcmplx_0(k3_xcmplx_0(2,C),F))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,A) & k7_partfun1(k1_numbers,B,k2_xcmplx_0(k3_xcmplx_0(2,C),E)) = k7_partfun1(k1_numbers,B,k2_xcmplx_0(k3_xcmplx_0(2,C),F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) & ( A = k1_xboole_0 => D = k5_numbers ) ) ) ) ) ) ) )).
fof(d10_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => k8_grcat_1(A) = u2_grcat_1(A) ) )).
fof(d10_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( r6_groeb_2(A,B,C,D,E) <=> ? [F] : ( m2_ideal_1(F,k12_polynom1(A,C),E) & r4_groeb_2(A,B,C,D,E,F) ) ) ) ) ) ) ) )).
fof(d10_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_group_1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ( k5_group_1(A,B,C) = k1_group_1(A) => C = k5_numbers ) ) ) ) ) )).
fof(d10_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ( E = k10_group_10(A,B,C,D) <=> u1_struct_0(E) = a_4_0_group_10(A,B,C,D) ) ) ) ) ) ) )).
fof(d10_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ( D = k9_group_2(A,B,C) <=> u1_struct_0(D) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k8_group_2(A,B),k8_group_2(A,C)) ) ) ) ) ) )).
fof(d10_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k8_group_3(A,B) = a_2_1_group_3(A,B) ) ) )).
fof(d10_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) ) => ( B = k9_group_4(A) <=> ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => k1_binop_1(B,C,D) = k8_group_4(A,C,D) ) ) ) ) ) )).
fof(d10_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( B = k10_group_5(A) <=> u1_struct_0(B) = a_1_0_group_5(A) ) ) ) )).
fof(d10_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,B) ) => ( D = k10_group_6(A,B,C) <=> u1_struct_0(D) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(A)) ) ) ) ) ) )).
fof(d10_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ( v4_group_9(C,A,B) <=> ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,B) ) => ( D = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) => v1_group_3(D,B) ) ) ) ) ) )).
fof(d10_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v7_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( C = k8_hahnban1(A,B) <=> ( ! [D] : ( r2_tarski(D,u1_struct_0(C)) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & v1_hahnban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & v1_hahnban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(E,B,A) & v1_hahnban1(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k1_binop_1(u1_algstr_0(C),D,E) = k3_hahnban1(A,B,D,E) ) ) & k4_struct_0(C) = k7_hahnban1(A,B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & v1_hahnban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_binop_1(u1_vectsp_1(A,C),E,D) = k6_hahnban1(A,B,E,D) ) ) ) ) ) ) ) )).
fof(d10_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => k10_heyting1(A,B) = k1_zfmisc_1(B) ) )).
fof(d10_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ( v6_hilbert1(A) <=> ( r2_tarski(k2_hilbert1,A) & ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( r2_tarski(k3_hilbert1(B,k3_hilbert1(C,B)),A) & r2_tarski(k3_hilbert1(k3_hilbert1(B,k3_hilbert1(C,D)),k3_hilbert1(k3_hilbert1(B,C),k3_hilbert1(B,D))),A) & r2_tarski(k3_hilbert1(k4_hilbert1(B,C),B),A) & r2_tarski(k3_hilbert1(k4_hilbert1(B,C),C),A) & r2_tarski(k3_hilbert1(B,k3_hilbert1(C,k4_hilbert1(B,C))),A) & ( ( r2_tarski(B,A) & r2_tarski(k3_hilbert1(B,C),A) ) => r2_tarski(C,A) ) ) ) ) ) ) ) ) )).
fof(d10_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => k3_hilbert2(A) = k1_funct_1(k2_hilbert2,A) ) )).
fof(d10_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ( m1_huffman1(B,A) <=> ( r2_tarski(B,A) & ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( r2_tarski(C,A) => r1_xxreal_0(k5_huffman1(B),k5_huffman1(C)) ) ) ) ) ) ) )).
fof(d10_hurwitz,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => k8_hurwitz(A,B) = k2_normsp_1(k1_complfld,k4_polynom5(k1_complfld,A,k2_polynom4(k1_complfld,k7_hurwitz(A),B)),k4_polynom5(k1_complfld,k7_hurwitz(A),k2_polynom4(k1_complfld,A,B))) ) ) )).
fof(d10_idea_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_idea_1(A,B) & v1_int_2(k1_nat_1(k5_series_1(2,A),1)) ) => ! [C] : ( v7_ordinal1(C) => ( C = k10_idea_1(A,B) <=> ( k9_idea_1(A,B,C) = 1 & r1_idea_1(A,C) ) ) ) ) ) ) )).
fof(d10_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( m3_ideal_1(C,A,B) <=> ! [D] : ~ ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m2_subset_1(F,u1_struct_0(A),B) => k7_partfun1(u1_struct_0(A),C,D) != k6_algstr_0(A,F,E) ) ) ) ) ) ) ) )).
fof(d10_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ( v7_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),E) ) => ( B = C | D = E ) ) ) ) ) ) ) ) )).
fof(d10_index_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ? [G] : ( ~ v2_struct_0(G) & ~ v11_struct_0(G) & v2_cat_1(G) & v3_cat_1(G) & v4_cat_1(G) & v5_cat_1(G) & v6_cat_1(G) & l1_cat_1(G) & G = g1_cat_1(A,B,C,D,E) ) => ! [G] : ( m3_index_1(G,A,B,C,D) => ( m5_index_1(G,A,B,C,D,E,F) <=> ( ! [H] : ( m1_subset_1(H,A) => r1_funct_2(u4_struct_0(k2_index_1(B,k3_relat_1(C,k1_xfamily(G)),k3_funct_2(A,B,F,H))),u4_struct_0(k2_index_1(B,k3_relat_1(D,k1_xfamily(G)),k3_funct_2(A,B,F,H))),u4_struct_0(k2_index_1(A,k1_xfamily(G),H)),u4_struct_0(k2_index_1(A,k1_xfamily(G),H)),k7_index_1(B,k3_relat_1(C,k1_xfamily(G)),k3_relat_1(D,k1_xfamily(G)),k8_index_1(A,B,C,D,G),k3_funct_2(A,B,F,H)),k10_cat_1(k2_index_1(A,k1_xfamily(G),H))) ) & ! [H] : ( m1_subset_1(H,B) => ! [I] : ( m1_subset_1(I,B) => ( k3_funct_2(B,A,C,I) = k3_funct_2(B,A,D,H) => k1_funct_1(k8_index_1(A,B,C,D,G),k1_funct_1(E,k4_tarski(I,H))) = k1_partfun1(u4_struct_0(k2_index_1(B,k3_relat_1(C,k1_xfamily(G)),H)),u4_struct_0(k2_index_1(B,k3_relat_1(D,k1_xfamily(G)),H)),u4_struct_0(k2_index_1(B,k3_relat_1(C,k1_xfamily(G)),I)),u4_struct_0(k2_index_1(B,k3_relat_1(D,k1_xfamily(G)),I)),k7_index_1(B,k3_relat_1(C,k1_xfamily(G)),k3_relat_1(D,k1_xfamily(G)),k8_index_1(A,B,C,D,G),H),k7_index_1(B,k3_relat_1(C,k1_xfamily(G)),k3_relat_1(D,k1_xfamily(G)),k8_index_1(A,B,C,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ( B != k5_numbers => k5_int_1(A,B) = k6_xcmplx_0(A,k3_xcmplx_0(k4_int_1(A,B),B)) ) & ( B = k5_numbers => k5_int_1(A,B) = k5_numbers ) ) ) ) )).
fof(d10_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)))) ) => ( B = k7_int_3(A) <=> ! [C] : ( m1_subset_1(C,k5_card_1(A)) => ! [D] : ( m1_subset_1(D,k5_card_1(A)) => k4_binop_1(k5_card_1(A),B,C,D) = k2_nat_d(k3_xcmplx_0(C,D),A) ) ) ) ) ) ) )).
fof(d10_integr15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => k8_integr15(A,B,C,D) = k80_valued_2(B,B,k1_euclid(A),k1_euclid(A),C,D) ) ) ) )).
fof(d10_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_integra1(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A),k1_numbers))) ) => ( C = k8_integra1(A,B) <=> ! [D] : ( m1_integra1(D,A) => k1_funct_1(C,D) = k6_integra1(A,B,D) ) ) ) ) ) )).
fof(d10_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => k10_interva1(A,B) = k9_interva1(A,k2_interva1(A,k2_subset_1(A),k2_subset_1(A)),B) ) ) )).
fof(d10_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => k3_intpro_1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1,1),A),B) ) ) )).
fof(d10_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_isocat_1(A,B) <=> ? [C] : ( m2_cat_1(C,A,B) & ? [D] : ( m2_cat_1(D,B,A) & r3_nattra_1(A,A,k9_cat_1(A,B,A,C,D),k10_cat_1(A)) & r3_nattra_1(B,B,k9_cat_1(B,A,B,D,C),k10_cat_1(B)) ) ) ) ) ) )).
fof(d10_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,k6_cat_2(B,C)) => ! [E] : ( m2_cat_1(E,A,k6_cat_2(B,C)) => ! [F] : ( m2_nattra_1(F,A,k6_cat_2(B,C),D,E) => k12_isocat_2(A,B,C,D,E,F) = k4_isocat_1(A,k6_cat_2(B,C),C,D,E,F,k13_cat_2(B,C)) ) ) ) ) ) ) )).
fof(d10_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k10_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k19_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d10_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_jordan6(A,B,C) <=> ~ ( ~ ( r2_tarski(B,k8_jordan6(A)) & r2_tarski(C,k9_jordan6(A)) & C != k18_pscomp_1(A) ) & ~ ( r2_tarski(B,k8_jordan6(A)) & r2_tarski(C,k8_jordan6(A)) & r1_jordan5c(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B,C) ) & ~ ( r2_tarski(B,k9_jordan6(A)) & r2_tarski(C,k9_jordan6(A)) & C != k18_pscomp_1(A) & r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),B,C) ) ) ) ) ) ) )).
fof(d10_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k9_knaster(A,B) = k5_knaster(A,B,k5_lattices(A),k2_card_1(u1_struct_0(A))) ) ) )).
fof(d10_kolmog01,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( m1_kolmog01(D,A,B,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(B))) => ( E = k8_kolmog01(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) => ( r2_tarski(F,E) <=> ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(A)) & r2_tarski(F,k4_kolmog01(A,B,C,D,G)) ) ) ) ) ) ) ) ) )).
fof(d10_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v2_lang1(B) & l2_lang1(B) ) => ( B = k9_lang1(A) <=> ( u1_struct_0(B) = k1_ordinal1(A) & u2_lang1(B) = A & u1_lang1(B) = k2_xboole_0(a_1_3_lang1(A),k1_tarski(k4_tarski(A,k1_xboole_0))) ) ) ) ) )).
fof(d10_laplace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k12_laplace(A,B,C) = k4_matrix_3(A,k10_laplace(u1_struct_0(A),C),B) ) ) ) )).
fof(d10_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattad_1(A,B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k5_lattad_1(A,B,C) <=> ( r1_lattices(A,B,D) & r1_lattices(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_lattices(A,B,E) & r1_lattices(A,C,E) ) => r1_lattices(A,D,E) ) ) ) ) ) ) ) ) ) )).
fof(d10_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_lattice3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,B,E) & r1_orders_2(A,C,E) ) => r1_orders_2(A,D,E) ) ) ) ) ) ) ) )).
fof(d10_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_lattice4(C,A) => ( C = k3_lattice4(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( m2_lattice4(D,A) => ( r1_tarski(B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d10_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k5_lattice5(A),k5_lattice5(A)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_lattice5(A),k5_lattice5(A)),u1_struct_0(B)))) ) => ( E = k6_lattice5(A,B,C,D) <=> ( ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => k1_binop_1(E,F,G) = k3_lattice5(A,B,C,F,G) ) ) & k1_binop_1(E,k1_tarski(A),k1_tarski(A)) = k3_yellow_0(B) & k1_binop_1(E,k1_tarski(k1_tarski(A)),k1_tarski(k1_tarski(A))) = k3_yellow_0(B) & k1_binop_1(E,k1_tarski(k1_tarski(k1_tarski(A))),k1_tarski(k1_tarski(k1_tarski(A)))) = k3_yellow_0(B) & k1_binop_1(E,k1_tarski(k1_tarski(A)),k1_tarski(k1_tarski(k1_tarski(A)))) = k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D) & k1_binop_1(E,k1_tarski(k1_tarski(k1_tarski(A))),k1_tarski(k1_tarski(A))) = k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D) & k1_binop_1(E,k1_tarski(A),k1_tarski(k1_tarski(A))) = k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D) & k1_binop_1(E,k1_tarski(k1_tarski(A)),k1_tarski(A)) = k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D) & k1_binop_1(E,k1_tarski(A),k1_tarski(k1_tarski(k1_tarski(A)))) = k13_lattice3(B,k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,k1_tarski(k1_tarski(k1_tarski(A))),k1_tarski(A)) = k13_lattice3(B,k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & ! [F] : ( m1_subset_1(F,A) => ( k1_binop_1(E,F,k1_tarski(A)) = k13_lattice3(B,k3_lattice5(A,B,C,F,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,k1_tarski(A),F) = k13_lattice3(B,k3_lattice5(A,B,C,F,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,F,k1_tarski(k1_tarski(A))) = k13_lattice3(B,k13_lattice3(B,k3_lattice5(A,B,C,F,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,k1_tarski(k1_tarski(A)),F) = k13_lattice3(B,k13_lattice3(B,k3_lattice5(A,B,C,F,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,F,k1_tarski(k1_tarski(k1_tarski(A)))) = k13_lattice3(B,k3_lattice5(A,B,C,F,k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,k1_tarski(k1_tarski(k1_tarski(A))),F) = k13_lattice3(B,k3_lattice5(A,B,C,F,k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) ) ) ) ) ) ) ) ) ) )).
fof(d10_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(D,D),u1_struct_0(B)) & v1_lattice5(E,D,B) & v2_lattice5(E,D,B) & v3_lattice5(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,D),u1_struct_0(B)))) ) => ( r2_lattice8(A,B,C,D,E) <=> ? [F] : ( m1_lattice5(F,A,B,C) & D = k7_lattice8(A,B,C) & E = k8_lattice8(A,B,C,F) ) ) ) ) ) ) ) )).
fof(d10_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k8_latticea(A) = a_1_2_latticea(A) ) )).
fof(d10_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v10_lattices(A) <=> ( v4_lattices(A) & v5_lattices(A) & v8_lattices(A) & v6_lattices(A) & v7_lattices(A) & v9_lattices(A) ) ) ) )).
fof(d10_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( r1_xxreal_0(k39_glib_000(B),C) => ( D = k6_lexbfs(A,B,C) <=> D = o_1_0_lexbfs(A) ) ) & ( ~ r1_xxreal_0(k39_glib_000(B),C) => ( D = k6_lexbfs(A,B,C) <=> ( ~ r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & k5_lexbfs(A,B,k1_nat_1(C,1)) = k1_funct_4(k5_lexbfs(A,B,C),k17_funcop_1(D,k7_nat_d(k39_glib_000(B),C))) ) ) ) ) ) ) ) )).
fof(d10_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => k5_lfuzzy_1(A,B) = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),a_2_0_lfuzzy_1(A,B)) ) ) )).
fof(d10_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k11_lopban_1(A,B) = g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))) ) ) )).
fof(d10_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lopban_2(A) ) => ( v3_lopban_2(A) <=> k2_normsp_0(A,k5_struct_0(A)) = 1 ) ) )).
fof(d10_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k6_lopban_3(A,B,C) = k1_normsp_0(A,k5_lopban_3(A,B),C) ) ) ) )).
fof(d10_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k9_lopban_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k1_lopban_3(A,k1_lopban_4(A,C)) ) ) ) ) )).
fof(d10_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k14_lpspacc1(A,B,C) = g1_clvect_1(k13_lpspacc1(A,B,C),k10_subset_1(k4_struct_0(k12_lpspacc1(A)),k13_lpspacc1(A,B,C)),k1_ideal_1(k12_lpspacc1(A),k13_lpspacc1(A,B,C)),k6_lpspacc1(k12_lpspacc1(A),k13_lpspacc1(A,B,C))) ) ) ) )).
fof(d10_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_lpspace1(A,B,C,D,E) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) & k3_funct_2(B,k6_numbers,C,F) = k5_numbers & r2_relset_1(A,k1_numbers,k2_partfun1(A,k1_numbers,D,k3_subset_1(A,F)),k2_partfun1(A,k1_numbers,E,k3_subset_1(A,F))) ) ) ) ) ) ) ) )).
fof(d10_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k1_numbers,k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)))) ) => ( E = k9_lpspace2(A,B,C,D) <=> ! [F] : ( v1_xreal_0(F) => ! [G] : ( m2_subset_1(G,k1_zfmisc_1(k1_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_tarski(H,G) => k1_binop_1(E,F,G) = k5_lpspace2(A,B,C,k26_valued_1(A,k1_numbers,H,F),D) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( v2_ltlaxio3(A) <=> r8_ltlaxio1(k1_subset_1(k1_hilbert1),k1_ltlaxio1(k12_ltlaxio3(A))) ) ) )).
fof(d10_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => k9_ltlaxio4(A) = a_1_6_ltlaxio4(A) ) )).
fof(d10_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ( v3_relat_1(B) <=> ( k5_numbers = k3_finseq_1(B) | k5_numbers = k1_matrix_0(B) ) ) ) ) )).
fof(d10_matrix_1,axiom,( ! [A] : ( v4_matrix_1(A) <=> ? [B] : ( v7_ordinal1(B) & ! [C] : ( r2_tarski(C,A) => ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(B),k2_finseq_1(B)) & v3_funct_2(C,k2_finseq_1(B),k2_finseq_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B),k2_finseq_1(B)))) ) ) ) ) )).
fof(d10_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( D = k13_matrix_3(A,B,C) <=> ( k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k1_funct_1(D,E) = k3_matrix_0(u1_struct_0(B),C,E,E) ) ) ) ) ) ) ) ) )).
fof(d10_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ( B = k11_matrixc1(A) <=> ( k3_finseq_1(B) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k1_matrix_0(A))) => k9_matrix_5(B,C) = k17_rvsum_1(k8_matrix_0(k2_numbers,A,C)) ) ) ) ) ) ) )).
fof(d10_matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrixj1(B,u1_struct_0(A)) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ! [C] : ( ( v1_matrixj1(C,u1_struct_0(A)) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ! [D] : ( ( v1_matrixj1(D,u1_struct_0(A)) & m2_finseq_1(D,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( D = k25_matrixj1(A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k2_matrixj1(u1_struct_0(A),D,E) = k3_matrix_3(A,k2_matrixj1(u1_struct_0(A),B,E),k2_matrixj1(u1_struct_0(A),C,E)) ) ) ) ) ) ) ) ) )).
fof(d10_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( B = k10_matrixr1(A) <=> ( k1_matrix_0(B) = k3_finseq_1(A) & k3_finseq_1(B) = 1 & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k3_matrix_0(k1_numbers,B,1,C) = k1_funct_1(A,C) ) ) ) ) ) ) )).
fof(d10_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_matroid0(A,B,C) <=> ( v3_pre_topc(B,A) & r1_tarski(B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(D,A) & r1_tarski(D,C) & r1_tarski(B,D) ) => B = D ) ) ) ) ) ) ) )).
fof(d10_measure6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v2_seq_2(B) <=> v3_xxreal_2(k7_relset_1(A,k1_numbers,B,A)) ) ) )).
fof(d10_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k9_setfam_1(k1_numbers),k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_numbers),k6_numbers))) ) => ( A = k10_measure7 <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => k12_supinf_2(A,B) = k7_supinf_2(k8_measure7(B)) ) ) ) )).
fof(d10_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( m4_measure8(D,A,B,C) => ! [E] : ( m3_measure8(E,A,k5_setfam_1(A,k2_relset_1(k9_setfam_1(A),C)),B) => ( E = k8_measure8(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => k1_measure8(A,B,E,F) = k1_measure8(A,B,k3_measure8(A,B,C,D,k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),F)),k1_recdef_1(k5_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),F)) ) ) ) ) ) ) )).
fof(d10_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k13_member_1(A,B) = a_2_5_member_1(A,B) ) ) )).
fof(d10_membered,axiom,( ! [A] : ( v4_membered(A) => ! [B] : ( r1_tarski(A,B) <=> ! [C] : ( v1_rat_1(C) => ( r2_hidden(C,A) => r2_hidden(C,B) ) ) ) ) )).
fof(d10_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => k7_memstr_0(A,B,C) = k17_funcop_1(k4_struct_0(B),C) ) ) ) )).
fof(d10_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( C = k10_mesfun7c(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,k4_mesfunc5(A,k2_numbers,B,k5_numbers)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k1_funct_1(C,D) = k3_comseq_2(k9_mesfun7c(A,B,D)) ) ) ) ) ) ) ) )).
fof(d10_mesfunc1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( C = k10_mesfunc1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k9_xtuple_0(A)) & ~ r1_xxreal_0(B,k1_funct_1(A,D)) ) ) ) ) ) )).
fof(d10_mesfunc5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v9_mesfunc5(A) <=> ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(k8_nat_1(k6_numbers,A,D),B) ) ) ) ) ) ) )).
fof(d10_metric_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( B = k4_metric_1(A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( k1_binop_1(B,C,C) = k5_numbers & ( C != D => k1_binop_1(B,C,D) = 1 ) ) ) ) ) ) )).
fof(d10_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => k7_metric_2(A) = a_1_3_metric_2(A) ) )).
fof(d10_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers))) ) => ( C = k10_metric_3(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [I] : ( m1_subset_1(I,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ( ( H = k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,F) & I = k1_domain_1(u1_struct_0(A),u1_struct_0(B),E,G) ) => k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,C,H,I) = k3_square_1(k2_xcmplx_0(k1_square_1(k3_metric_1(A,D,E)),k1_square_1(k3_metric_1(B,F,G)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_midsp_1(A,B,C) = k5_midsp_1(A,k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) )).
fof(d10_midsp_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_midsp_2(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => k7_midsp_2(A,B,C) = C ) ) ) )).
fof(d10_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( ( v4_midsp_2(C,B) & l1_midsp_2(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) => k9_midsp_3(A,B,C,D,E) = k9_midsp_2(B,C,D,k4_midsp_3(A,B,D,k7_midsp_3(A,B,C,D,E))) ) ) ) ) ) )).
fof(d10_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( v7_ordinal1(D) => k10_mmlquery(A,B,C,D) = a_4_5_mmlquery(A,B,C,D) ) ) ) )).
fof(d10_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v3_mod_2(B,A) & l1_mod_2(B,A) ) => ! [C] : ( ( v3_mod_2(C,A) & l1_mod_2(C,A) ) => ( k2_mod_2(A,B) = k3_mod_2(A,C) => ! [D] : ( ( v2_mod_2(D,A) & v3_mod_2(D,A) & l1_mod_2(D,A) ) => ( D = k8_mod_2(A,B,C) <=> ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,A) & v9_vectsp_1(E,A) & v10_vectsp_1(E,A) & v11_vectsp_1(E,A) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,A) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v8_vectsp_1(F,A) & v9_vectsp_1(F,A) & v10_vectsp_1(F,A) & v11_vectsp_1(F,A) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & l1_vectsp_1(F,A) ) => ! [G] : ( ( ~ v2_struct_0(G) & v13_algstr_0(G) & v8_vectsp_1(G,A) & v9_vectsp_1(G,A) & v10_vectsp_1(G,A) & v11_vectsp_1(G,A) & v2_rlvect_1(G) & v3_rlvect_1(G) & v4_rlvect_1(G) & l1_vectsp_1(G,A) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(F),u1_struct_0(G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F),u1_struct_0(G)))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(E),u1_struct_0(F)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ( ( g1_mod_2(A,u1_mod_2(A,B),u2_mod_2(A,B),u3_mod_2(A,B)) = g1_mod_2(A,F,G,H) & g1_mod_2(A,u1_mod_2(A,C),u2_mod_2(A,C),u3_mod_2(A,C)) = g1_mod_2(A,E,F,I) ) => D = g1_mod_2(A,E,G,k1_partfun1(u1_struct_0(E),u1_struct_0(F),u1_struct_0(F),u1_struct_0(G),I,H)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => ! [B] : ( m1_subset_1(B,k6_modal_1) => k12_modal_1(A,B) = k7_trees_2(k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(2),k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers)),k14_trees_3(k5_numbers),A),k14_trees_3(1),B) ) ) )).
fof(d10_modelc_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => k10_modelc_1(A) = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,3),A) ) )).
fof(d10_modelc_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( v1_modelc_2(A) <=> m1_subset_1(A,k9_modelc_2) ) ) )).
fof(d10_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_lattices(B) & m2_nat_lat(B,k10_nat_lat) ) => ( B = k10_moebius2(A) <=> u1_struct_0(B) = k3_moebius1(A) ) ) ) )).
fof(d10_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v1_group_1(A) <=> v1_setwiseo(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d10_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_msafree(A,B,C) = a_3_0_msafree(A,B,C) ) ) ) )).
fof(d10_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( ( ~ v11_struct_0(A) => ( v3_msafree2(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) ) => ( C = A => ! [D] : ( l3_msualg_1(D,C) => ~ ( D = B & ! [E] : ( m1_msafree(E,C,D) => ~ v2_finset_1(E) ) ) ) ) ) ) ) & ( v11_struct_0(A) => ( v3_msafree2(B,A) <=> v2_finset_1(u3_msualg_1(A,B)) ) ) ) ) ) )).
fof(d10_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C)) => ( D = k4_msafree4(A,B,C) <=> ( r1_msualg_3(A,k1_msafree3(A,B),C,D) & ! [E] : ( m1_msafree(E,A,k1_msafree3(A,B)) => ( r8_pboole(u1_struct_0(A),E,k13_msafree(A,B)) => r8_pboole(u1_struct_0(A),k2_msualg_3(u1_struct_0(A),E),k1_msafree(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),E,D)) ) ) ) ) ) ) ) ) )).
fof(d10_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_catalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => ( v7_msafree5(D,A,B,C) <=> r2_tarski(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),B)) ) ) ) ) ) )).
fof(d10_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m4_msaterm(C,A,B) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ! [E] : ( m2_pboole(E,u1_struct_0(A),C,u3_msualg_1(A,B)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),D))) => ( F = k9_msaterm(A,B,C,D,E) <=> ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finset_1(G) & v3_trees_2(G) & r1_msaterm(A,B,C,D,E,G) & F = k1_funct_1(G,k1_xboole_0) ) ) ) ) ) ) ) ) )).
fof(d10_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k8_msualg_1(A) = u1_unialg_1(A) ) )).
fof(d10_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( D = k5_msualg_2(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,k9_funct_2(u1_struct_0(A),k9_setfam_1(k3_card_3(u3_msualg_1(A,B))))) & m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,B)) & ! [F] : ( m3_pboole(F,u1_struct_0(A),u3_msualg_1(A,B)) => ( F = E => ( v3_msualg_2(F,A,B) & r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),F) & r2_pboole(u1_struct_0(A),C,F) ) ) ) ) ) ) ) ) ) )).
fof(d10_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r4_msualg_3(A,B,C,D) <=> ( r2_msualg_3(A,B,C,D) & r3_msualg_3(A,B,C,D) ) ) ) ) ) ) )).
fof(d10_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_mycielsk(B,k7_nat_d(k3_xcmplx_0(3,k1_newton(2,A)),1)) => ( B = k7_mycielsk(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & B = k1_funct_1(C,A) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k5_mycielsk(2) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_mycielsk(E,k7_nat_d(k3_xcmplx_0(3,k1_newton(2,D)),1)) => ( E = k1_funct_1(C,D) => k1_funct_1(C,k2_xcmplx_0(D,1)) = k6_mycielsk(k7_nat_d(k3_xcmplx_0(3,k1_newton(2,D)),1),E) ) ) ) ) ) ) ) )).
fof(d10_nagata_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( r1_nagata_1(A,B) <=> ( v2_metric_1(B,A) & v4_metric_1(B,A) & v5_metric_1(B,A) ) ) ) )).
fof(d10_nat_lat,axiom,( k10_nat_lat = g3_lattices(k6_nat_lat,k9_nat_lat,k8_nat_lat) )).
fof(d10_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ( v1_nattra_1(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => v9_cat_1(k2_nattra_1(A,B,C,D,E,F),B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(d10_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r6_ncfcont1(A,B,C) <=> ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),D),k1_relset_1(u1_struct_0(A),B)) & v3_normsp_1(D,A) & k5_normsp_1(A,D) = C ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k2_numbers,u1_struct_0(A),D,B)) & k7_partfun1(k2_numbers,B,C) = k3_comseq_2(k8_funct_2(k4_ordinal1,k2_numbers,u1_struct_0(A),D,B)) ) ) ) ) ) ) ) ) )).
fof(d10_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( r3_ndiff_7(A,B,C,D,E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k16_lopban_1(A,C))))) ) => ( F = k9_ndiff_7(A,B,C,D,E) <=> ( k1_relset_1(u1_struct_0(k7_prvect_3(A,B)),F) = D & ! [G] : ( m1_subset_1(G,u1_struct_0(k7_prvect_3(A,B))) => ( r2_tarski(G,D) => k7_partfun1(u1_struct_0(k16_lopban_1(A,C)),F,G) = k7_ndiff_7(A,B,C,G,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r6_nfcont_1(A,B,C) <=> ( r1_tarski(B,k1_relset_1(u1_struct_0(A),C)) & ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(E,B) & r2_tarski(F,B) ) => r1_xxreal_0(k9_complex1(k5_real_1(k7_partfun1(k1_numbers,C,E),k7_partfun1(k1_numbers,C,F))),k3_xcmplx_0(D,k2_normsp_0(A,k5_algstr_0(A,E,F)))) ) ) ) ) ) ) ) ) )).
fof(d10_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => k9_normform(A,B) = a_2_0_normform(A,B) ) )).
fof(d10_numpoly1,axiom,( k8_numpoly1 = k6_numpoly1(3) )).
fof(d10_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_o_ring_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v8_o_ring_1(C,A) & B = k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)) ) ) ) ) )).
fof(d10_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)))) ) => ( B = k14_openlatt(A) <=> ! [C] : ( m1_subset_1(C,k9_openlatt(A)) => ! [D] : ( m1_subset_1(D,k9_openlatt(A)) => k4_binop_1(k9_openlatt(A),B,C,D) = k12_openlatt(A,C,D) ) ) ) ) ) )).
fof(d10_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)))) ) => ( D = k10_oppcat_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(k2_oppcat_1(A))) => k3_funct_2(u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B),D,E) = k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k6_oppcat_1(A,E)) ) ) ) ) ) ) )).
fof(d10_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r4_orders_1(A,B) <=> ! [C] : ~ ( r1_tarski(C,B) & v3_orders_1(k2_wellord1(A,C)) & ! [D] : ~ ( r2_tarski(D,B) & ! [E] : ( r2_tarski(E,C) => r2_hidden(k4_tarski(E,D),A) ) ) ) ) ) )).
fof(d10_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_orders_2(A,B,C) = k9_subset_1(u1_struct_0(A),k2_orders_2(A,k6_domain_1(u1_struct_0(A),C)),B) ) ) ) )).
fof(d10_ordinal1,axiom,( ! [A] : ! [B] : ( B = k3_ordinal1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,A) & ? [D] : ( v3_ordinal1(D) & C = D & v4_ordinal1(D) ) ) ) ) )).
fof(d10_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ( ? [B] : ( v3_ordinal1(B) & r1_ordinal2(B,A) ) => ! [B] : ( v3_ordinal1(B) => ( B = k8_ordinal2(A) <=> r1_ordinal2(B,A) ) ) ) ) )).
fof(d10_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( ( r2_tarski(1,B) & r2_tarski(k5_numbers,A) ) => ( C = k5_ordinal5(A,B) <=> ( r1_ordinal1(k12_ordinal2(B,C),A) & ! [D] : ( v3_ordinal1(D) => ( r1_ordinal1(k12_ordinal2(B,D),A) => r1_ordinal1(D,C) ) ) ) ) ) & ( ~ ( r2_tarski(1,B) & r2_tarski(k5_numbers,A) ) => ( C = k5_ordinal5(A,B) <=> C = k5_numbers ) ) ) ) ) ) )).
fof(d10_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_pboole(C,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),k3_relat_1(u2_msualg_1(A),k5_osafree(A,B))) => ( C = k7_osafree(A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),D),k1_funct_1(k3_relat_1(u2_msualg_1(A),k5_osafree(A,B)),D),k5_msualg_4(A,k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),k3_relat_1(u2_msualg_1(A),k5_osafree(A,B)),C,D),k6_osafree(A,B,D)) ) ) ) ) ) )).
fof(d10_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r4_osalg_1(A,B,C,D) <=> ( r1_osalg_1(A,B,C) & r2_osalg_1(A,D,k1_msualg_1(A,C)) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( ( r1_osalg_1(A,B,E) & r2_osalg_1(A,D,k1_msualg_1(A,E)) ) => r3_orders_2(A,k2_msualg_1(A,C),k2_msualg_1(A,E)) ) ) ) ) ) ) ) ) )).
fof(d10_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( E = k8_osalg_2(A,B,C,D) <=> ! [F] : ( r2_hidden(F,E) <=> ? [G] : ( m2_osalg_2(G,A,B) & r2_tarski(G,k5_osalg_2(A,B,C)) & F = k1_funct_1(G,D) ) ) ) ) ) ) ) )).
fof(d10_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_eqrel_1(k4_osalg_4(A,u3_msualg_1(A,B),k3_osalg_4(A,D)),k5_osalg_4(A,B,C,k3_osalg_4(A,D))))) => ( E = k6_osalg_4(A,B,C,D) <=> ! [F] : ( r2_tarski(F,E) <=> ? [G] : ( r2_tarski(G,k1_funct_1(u3_msualg_1(A,B),D)) & F = k6_eqrel_1(k4_osalg_4(A,u3_msualg_1(A,B),k3_osalg_4(A,D)),k4_osalg_4(A,u3_msualg_1(A,B),k3_osalg_4(A,D)),k5_osalg_4(A,B,C,k3_osalg_4(A,D)),G) ) ) ) ) ) ) ) ) )).
fof(d10_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k8_parsp_1(A) = k7_parsp_1(A) ) )).
fof(d10_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,B,C) <=> ! [D] : ( r2_hidden(D,A) => k1_funct_1(B,D) = k1_funct_1(C,D) ) ) ) ) )).
fof(d10_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => k9_pdiff_1(A,B,C,D,E) = k3_ndiff_1(k4_real_ns1(1),k4_real_ns1(B),k1_partfun1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),k7_pdiff_1(A,C,E),D),k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(C,A),E)) ) ) ) ) ) )).
fof(d10_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => k7_pdiff_4(A,B,C,D) = k7_euclid(3,k7_euclid(3,k9_euclid(3,k2_euclid_8,k6_xcmplx_0(k10_pdiff_1(3,2,C,D),k10_pdiff_1(3,3,B,D))),k9_euclid(3,k3_euclid_8,k6_xcmplx_0(k10_pdiff_1(3,3,A,D),k10_pdiff_1(3,1,C,D)))),k9_euclid(3,k4_euclid_8,k6_xcmplx_0(k10_pdiff_1(3,1,B,D),k10_pdiff_1(3,2,A,D)))) ) ) ) ) )).
fof(d10_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r1_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k1_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,D) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,k1_pdiff_3(1,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(1,3,A),B),J),k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(1,3,A),B),D)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,D)),k1_funct_1(I,k6_xcmplx_0(J,D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r3_pdiff_9(A,B,C,D) <=> r3_pdiff_9(A,B,C,k2_partfun1(k1_euclid(A),k1_numbers,D,B)) ) ) ) ) )).
fof(d10_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v9_pencil_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & B = k1_funct_1(D,1) & C = k1_funct_1(D,k3_finseq_1(D)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(D),E) | ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( F = k1_funct_1(D,E) & G = k1_funct_1(D,k1_nat_1(E,1)) ) => r1_pencil_1(A,F,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_petri(B,A) <=> m1_subset_1(k7_petri(A,B),k1_zfmisc_1(k6_petri(A,B))) ) ) ) )).
fof(d10_petri_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri_2(A) ) => k8_petri_2(A) = a_1_0_petri_2(A) ) )).
fof(d10_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & l1_petri_2(A) ) => k4_petri_3(A) = a_1_1_petri_3(A) ) )).
fof(d10_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m2_finseq_2(C,B,k3_finseq_2(B)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k8_pnproc_1(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_funcop_1(E) & v1_finseq_1(E) & D = k3_funct_7(k9_funct_2(A,k4_ordinal1),E) & k3_finseq_1(E) = k3_finseq_1(C) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(C)) => k1_funct_1(E,F) = k7_pnproc_1(A,k7_partfun1(B,C,F)) ) ) ) ) ) ) ) )).
fof(d10_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => k10_polyform(A) = k8_polyform(A,1) ) )).
fof(d10_polynom1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( E = k10_polynom1(A,B,C,D) <=> ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(B)) & k4_polynom1(A,B,E,F) = k4_rlvect_1(B,G) & k3_finseq_1(G) = k3_finseq_1(k21_pre_poly(A,F)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,A) & v1_funct_1(I) & v1_partfun1(I,A) & v4_valued_0(I) & v2_pre_poly(I) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,A) & v1_funct_1(J) & v1_partfun1(J,A) & v4_valued_0(J) & v2_pre_poly(J) ) => ~ ( k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,F),H) = k10_finseq_1(I,J) & k7_partfun1(u1_struct_0(B),G,H) = k6_algstr_0(B,k4_polynom1(A,B,C,I),k4_polynom1(A,B,D,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v36_algstr_0(B) & l6_algstr_0(B) ) => ( B = k13_polynom3(A) <=> ( ! [C] : ( r2_tarski(C,u1_struct_0(B)) <=> ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( C = E & D = F ) => k1_algstr_0(B,C,D) = k1_normsp_1(A,E,F) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( C = E & D = F ) => k6_algstr_0(B,C,D) = k11_polynom3(A,E,F) ) ) ) ) ) & k4_struct_0(B) = k9_polynom3(A) & k5_struct_0(B) = k10_polynom3(A) ) ) ) ) )).
fof(d10_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k7_polynom5(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> r1_polynom5(A,B,D) ) ) ) ) ) ) )).
fof(d10_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l5_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( E = k6_polynom7(A,B,C,D) <=> ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => k4_polynom1(A,B,E,F) = k6_algstr_0(B,k4_polynom1(A,B,C,F),D) ) ) ) ) ) ) )).
fof(d10_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r8_polyred(A,B,C,D,E,F) <=> r3_polyred(A,B,C,D,E,F,k3_termord(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(d10_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( D = k8_poset_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( ~ v1_xboole_0(F) & v6_orders_2(F,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( F = k7_poset_1(A,B,C,E) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,E) = k1_yellow_0(B,F) ) ) ) ) ) ) ) ) )).
fof(d10_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_poset_2(A,B,C,D) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & ! [F] : ( m1_subset_1(F,A) => ( ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,F),k5_numbers) => r2_tarski(F,B) ) & ( ~ r2_tarski(F,B) => ( ~ r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,F),k3_funct_2(A,k4_ordinal1,E,k3_funct_2(A,A,C,F))) & ~ r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,F),k3_funct_2(A,k4_ordinal1,E,k3_funct_2(A,A,D,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) ) => ( D = k10_pralg_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_funct_1(D,E) = k4_card_3(k9_pralg_2(A,B,E,C)) ) ) ) ) ) )).
fof(d10_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r2_pre_poly(A,B,C) <=> ( r1_pre_poly(A,B,C) | r6_pboole(A,B,C) ) ) ) ) ) )).
fof(d10_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v8_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v3_pre_topc(E,A) & r2_tarski(B,D) & r2_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) ) )).
fof(d10_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => k7_prefer_1(A,B) = k1_prefer_1(k2_xboole_0(k2_xboole_0(A,A),A),k3_subset_1(k2_zfmisc_1(k2_xboole_0(k2_xboole_0(A,A),A),k2_xboole_0(k2_xboole_0(A,A),A)),k2_pcs_0(k2_xboole_0(A,A),k2_xboole_0(A,A),A,A,k2_pcs_0(A,A,A,A,k2_eqrel_1(A,B,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B))),k3_relset_1(A,A,k2_eqrel_1(A,B,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B))))),k2_eqrel_1(A,B,k3_relset_1(A,A,B))))) ) )).
fof(d10_prob_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k10_prob_1(A) = k4_xxreal_1(k2_xxreal_0,A) ) )).
fof(d10_prob_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_prob_3(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( v2_prob_1(C) & r1_tarski(k2_relset_1(k9_setfam_1(A),C),B) ) => r2_tarski(k3_prob_1(A,C),B) ) ) ) ) )).
fof(d10_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) => ( B = k14_prvect_1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => k1_funct_1(B,C) = u1_struct_0(k13_prvect_1(A,C)) ) ) ) ) ) )).
fof(d10_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k9_pscomp_1(A) = k1_pscomp_1(k1_pre_topc(k15_euclid(2),A),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A)) ) )).
fof(d10_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_eqrel_1(B,u1_struct_0(A)) => ( m3_pua2mss1(B,A) <=> ! [C] : ( m1_pua2mss1(C,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => r2_pua2mss1(u1_struct_0(A),C,B) ) ) ) ) )).
fof(d10_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v1_qc_lang1(B,A) <=> ( m1_subset_1(B,k1_zfmisc_1(k13_finseq_1(k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) ) => r2_tarski(k7_finseq_1(k12_finseq_1(k8_qc_lang1(A,C),D),E),B) ) ) ) & r2_tarski(k9_finseq_1(k4_tarski(k5_numbers,k5_numbers)),B) & ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ( r2_tarski(C,B) => r2_tarski(k7_finseq_1(k9_finseq_1(k4_tarski(1,k5_numbers)),C),B) ) ) & ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ! [D] : ( m2_finseq_1(D,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(2,k5_numbers)),C),D),B) ) ) ) & ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_finseq_1(D,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ( r2_tarski(D,B) => r2_tarski(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(3,k5_numbers)),k12_finseq_1(k3_qc_lang1(A),C)),D),B) ) ) ) ) ) ) )).
fof(d10_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v1_qc_lang2(B,A) <=> ? [C] : ( m1_subset_1(C,k9_qc_lang1(A)) & ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k3_qc_lang2(A,C,D) ) ) ) ) ) )).
fof(d10_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k5_qmax_1(A)) => ! [C] : ( m1_subset_1(C,k5_qmax_1(A)) => ( r3_qmax_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,k3_qmax_1(A)) => r1_xxreal_0(k3_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(A,k6_qmax_1(A,B),D),k7_qmax_1(A,B)),k3_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(A,k6_qmax_1(A,C),D),k7_qmax_1(A,C))) ) ) ) ) ) )).
fof(d10_quatern2,axiom,( ! [A] : ( ( v36_algstr_0(A) & l6_algstr_0(A) ) => ( A = k15_quatern2 <=> ( u1_struct_0(A) = k1_quaterni & u1_algstr_0(A) = k9_quatern2 & u2_algstr_0(A) = k11_quatern2 & k5_struct_0(A) = k2_quatern2 & k4_struct_0(A) = k1_quatern2 ) ) ) )).
fof(d10_quaterni,axiom,( k10_quaterni = k5_quaterni(k5_numbers,k5_numbers,1,k5_numbers) )).
fof(d10_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( C = k13_quofield(A,B) <=> ! [D] : ( m2_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ( r2_tarski(D,C) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) & r2_tarski(E,B) & k8_group_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),D),k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) = k8_group_1(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),D),k4_algstr_0(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E))) ) ) ) ) ) ) ) )).
fof(d10_radix_1,axiom,( ! [A] : ( v1_int_1(A) => ( ( ~ r1_xxreal_0(A,2) => k11_radix_1(A) = 1 ) & ( ~ r1_xxreal_0(k4_xcmplx_0(2),A) => k11_radix_1(A) = k4_xcmplx_0(1) ) & ( ( r1_xxreal_0(A,2) & r1_xxreal_0(k4_xcmplx_0(2),A) ) => k11_radix_1(A) = k5_numbers ) ) ) )).
fof(d10_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => ( ( ~ r1_xxreal_0(A,B) => k9_radix_6(A,B,C) = k5_numbers ) & ( A = B => k9_radix_6(A,B,C) = 1 ) & ( r1_xxreal_0(A,B) => ( A = B | k9_radix_6(A,B,C) = k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)),1) ) ) ) ) ) ) ) )).
fof(d10_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( B = k5_random_3(A) <=> ( k1_funct_1(B,k5_numbers) = k1_funct_1(A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,k1_nat_1(C,1)) = k2_zfmisc_1(k1_funct_1(B,C),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(d10_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ( v5_ratfunc1(B,A) <=> ~ r2_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B)) ) ) ) )).
fof(d10_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( B = k4_relat_1(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,A) & C = D ) ) ) ) )).
fof(d10_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_relat_2(A) <=> r2_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d10_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r8_rewrite1(A,B,C) <=> ? [D] : ( ( r2_hidden(k4_tarski(D,B),A) | B = D ) & ( r2_hidden(k4_tarski(D,C),A) | C = D ) ) ) ) )).
fof(d10_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( C = k18_rfunct_3(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,B) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k1_funct_1(C,D) = k1_rfunct_3(k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(d10_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_ringcat1(D,B,C) => ! [E] : ( m1_ringcat1(E,A,B) => ( ( r1_ringcat1(A,B) & r1_ringcat1(B,C) ) => k7_ringcat1(A,B,C,D,E) = k6_ringcat1(D,E) ) ) ) ) ) ) )).
fof(d10_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rltopsp1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k3_rltopsp1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k1_algstr_0(A,B,D) ) ) ) ) ) )).
fof(d10_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v3_rlvect_1(A) & v4_rlvect_1(A) & v13_algstr_0(A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k4_algstr_0(A,B) <=> k1_algstr_0(A,B,C) = k4_struct_0(A) ) ) ) ) ) )).
fof(d10_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ! [D] : ( m1_rlvect_2(D,A) => ( D = k7_rlvect_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,E),k3_funct_2(u1_struct_0(A),k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d10_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rmod_4(D,A,B) => ! [E] : ( m1_rmod_4(E,A,B) => ( E = k7_rmod_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k6_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C) ) ) ) ) ) ) ) )).
fof(d10_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_robbins1(A) ) => ( v8_robbins1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_lattices(A,k3_robbins1(A,B),B) ) ) ) )).
fof(d10_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_robbins3(A) ) => ( v10_robbins3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) <=> k1_lattices(A,B,C) = C ) ) ) ) ) )).
fof(d10_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( D = k7_roughs_1(A,B,C) <=> ( k1_relset_1(k4_ordinal1,D) = k1_relset_1(k4_ordinal1,B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(D,E) = k3_funct_2(u1_struct_0(A),k1_numbers,k6_roughs_1(A,k1_roughs_1(u1_struct_0(A),B,E)),C) ) ) ) ) ) ) ) ) )).
fof(d10_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) => ( B = k3_roughs_2(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),B,C) = k3_roughs_1(A,C) ) ) ) ) )).
fof(d10_rsspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlsub_1(B,A) => ( v1_xboole_0(B) | k7_rsspace(A,B) = k4_struct_0(A) ) ) ) ) )).
fof(d10_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k9_rsspace4(A,B) = g1_normsp_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k8_rsspace4(A,B)) ) ) )).
fof(d10_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( v1_xcmplx_0(B) => ( B = k16_rvsum_1(A) <=> ? [C] : ( m2_finseq_1(C,k2_numbers) & C = A & B = k1_finsop_1(k2_numbers,C,k3_binop_2) ) ) ) ) )).
fof(d10_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( B = k8_rvsum_3(A) <=> ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & C = o_1_5_rvsum_3(A) & D = o_1_6_rvsum_3(A) & B = k7_rvsum_3(A,C,D,k1_rvsum_3(A),k6_xcmplx_0(k2_xcmplx_0(k1_funct_1(A,C),k1_funct_1(A,D)),k1_rvsum_3(A))) ) ) ) ) ) )).
fof(d10_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [B] : ( v7_ordinal1(B) => ( ( A = k4_tarski(k5_numbers,k5_numbers) => k13_scm_comp(A,B) = k5_afinsq_1(k3_ami_3(k10_ami_3(B),k10_ami_3(k1_nat_1(B,1)))) ) & ( A = k4_tarski(k5_numbers,1) => k13_scm_comp(A,B) = k5_afinsq_1(k4_ami_3(k10_ami_3(B),k10_ami_3(k1_nat_1(B,1)))) ) & ( A = k4_tarski(k5_numbers,2) => k13_scm_comp(A,B) = k5_afinsq_1(k5_ami_3(k10_ami_3(B),k10_ami_3(k1_nat_1(B,1)))) ) & ( A = k4_tarski(k5_numbers,3) => k13_scm_comp(A,B) = k5_afinsq_1(k6_ami_3(k10_ami_3(B),k10_ami_3(k1_nat_1(B,1)))) ) & ( A = k4_tarski(k5_numbers,4) => k13_scm_comp(A,B) = k6_afinsq_1(k6_ami_3(k10_ami_3(B),k10_ami_3(k1_nat_1(B,1))),k2_ami_3(k10_ami_3(B),k10_ami_3(k1_nat_1(B,1)))) ) ) ) ) )).
fof(d10_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( C = k8_scmfsa_2(A,B) <=> ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_ami_3)) & ? [E] : ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) & A = D & B = E & C = k4_ami_3(D,E) ) ) ) ) ) ) )).
fof(d10_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k9_scmpds_2(A,B,C) = k3_xtuple_0(6,k1_xboole_0,k11_finseq_1(A,B,C)) ) ) ) )).
fof(d10_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ( v4_scmpds_4(A) <=> ( k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 2 | ( k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 14 & ~ r1_xxreal_0(k5_compos_0(u1_compos_1(k1_scmpds_2),A),6) ) ) ) ) )).
fof(d10_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k8_scmpds_6(A,B,C) = k1_scmpds_4(k4_scmpds_4(k8_scmpds_2(A,B,2),k3_scmpds_2(k1_nat_1(k4_card_1(C),1))),C) ) ) ) )).
fof(d10_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & ? [F] : ( m2_subset_1(F,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(F,k1_xboole_0,k7_finseq_4(B,C,D,E)) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k11_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,2) ) ) ) ) ) )).
fof(d10_scmyciel,axiom,( ! [A] : k5_scmyciel(A) = a_1_3_scmyciel(A) )).
fof(d10_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k11_seq_4(A) = k4_finseqop(k2_numbers,k1_numbers,A,k6_seq_4) ) )).
fof(d10_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k10_seqfunc(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k1_funct_1(k1_seqfunc(A,k1_numbers,B,E),C) ) ) ) ) ) ) )).
fof(d10_seqm_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v3_funct_1(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => k1_funct_1(A,B) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(d10_setfam_1,axiom,( ! [A] : ( v2_setfam_1(A) <=> ! [B] : ( ~ v1_xboole_0(B) => ~ r2_tarski(B,A) ) ) )).
fof(d10_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k5_sgraph1(A,B,C,D) = a_4_0_sgraph1(A,B,C,D) ) ) ) )).
fof(d10_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ( v6_simplex0(B,A) <=> k2_struct_0(B) = A ) ) )).
fof(d10_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( D = k9_sin_cos(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,A) => k8_nat_1(k2_numbers,D,E) = k3_xcmplx_0(k3_xcmplx_0(k8_nat_1(k2_numbers,k6_sin_cos(A),E),k2_comseq_3(B,E)),k2_comseq_3(C,k7_nat_d(A,E))) ) & ( ~ r1_xxreal_0(E,A) => k8_nat_1(k2_numbers,D,E) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d10_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => ( v4_stacks_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => C = k6_stacks_1(A,k7_stacks_1(A,B,C)) ) ) ) ) )).
fof(d10_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v7_struct_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = C ) ) ) ) )).
fof(d10_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => ! [D] : ( D = k16_sublemma(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) & F = E & r2_tarski(F,k24_qc_lang1(A,B)) & F = k1_funct_1(k2_substut1(A,C),F) ) ) ) ) ) ) )).
fof(d10_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_substut1(A)) ) => k11_substut1(A,B) = a_2_2_substut1(A,B) ) ) )).
fof(d10_supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( B = k16_supinf_2(A) <=> ( k12_supinf_2(B,k5_numbers) = k12_supinf_2(A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k6_numbers) => ( D = k12_supinf_2(B,C) => k12_supinf_2(B,k1_nat_1(C,1)) = k3_supinf_2(D,k12_supinf_2(A,k1_nat_1(C,1))) ) ) ) ) ) ) ) )).
fof(d10_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)))) ) => ( B = k10_tdlat_1(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => k4_binop_1(k9_tdlat_1(A),B,C,D) = k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D))) ) ) ) ) ) )).
fof(d10_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( ( v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = k8_tmap_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = u1_struct_0(B) => C = k6_tmap_1(A,D) ) ) ) ) ) ) )).
fof(d10_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v6_topalg_6(B,A) & m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => k3_topalg_6(A,B) = k1_funct_1(B,k1_xxreal_2(k9_xtuple_0(B))) ) ) )).
fof(d10_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k4_topgen_4(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> r1_topgen_4(A,B,D) ) ) ) ) ) ) )).
fof(d10_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = k4_topreal1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,B) <=> ( k17_euclid(C) = k17_euclid(A) & r1_xxreal_0(k18_euclid(A),k18_euclid(C)) ) ) ) ) ) ) )).
fof(d10_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ! [B] : ( ( v1_pre_topc(B) & m1_pre_topc(B,k8_toprealb(2)) ) => ( B = k11_toprealb(A) <=> u1_struct_0(B) = k6_subset_1(u1_struct_0(k8_toprealb(2)),k6_domain_1(u1_struct_0(k8_toprealb(2)),A)) ) ) ) )).
fof(d10_trees_1,axiom,( ! [A] : ( v2_trees_1(A) <=> ( ! [B] : ( r2_tarski(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( r2_tarski(B,A) & r2_tarski(C,A) & B != C & r3_xboole_0(B,C) ) ) ) ) ) )).
fof(d10_trees_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( C = k5_trees_2(A,B) <=> ( k9_xtuple_0(C) = k4_trees_1(k9_xtuple_0(A),B) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r2_tarski(D,k4_trees_1(k9_xtuple_0(A),B)) => k1_funct_1(C,D) = k1_funct_1(A,k8_finseq_1(k4_ordinal1,B,D)) ) ) ) ) ) ) ) )).
fof(d10_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v5_trees_3(A) <=> v2_trees_3(k10_xtuple_0(A)) ) ) )).
fof(d10_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k11_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k9_margrel1(k9_margrel1(k8_margrel1(B),C),D) ) ) ) ) ) )).
fof(d10_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k6_unialg_2(A) = a_1_0_unialg_2(A) ) )).
fof(d10_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k13_polynom3(A))) => ( D = k8_uproots(A,B,C) <=> ( k3_finseq_1(D) = C & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)) ) ) ) ) ) ) ) ) )).
fof(d10_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k50_valued_1(A,B) = k18_valued_1(A,k35_valued_1(B)) ) ) )).
fof(d10_valued_2,axiom,( ! [A] : ! [B] : ( B = k4_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) ) )).
fof(d10_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k9_algstr_0(A,B) <=> k8_group_1(A,C,B) = k5_struct_0(A) ) ) ) ) ) )).
fof(d10_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => k7_vectsp_6(A,B,C) = k6_vectsp_6(A,B,k4_algstr_0(A,k5_struct_0(A)),C) ) ) ) )).
fof(d10_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))))) ) => ( G = k10_vsdiff_1(A,B,C,D,E,F) <=> ( r2_relset_1(u1_struct_0(C),u1_struct_0(E),k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,k5_numbers),F) & ! [H] : ( v7_ordinal1(H) => r2_relset_1(u1_struct_0(C),u1_struct_0(E),k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,k1_nat_1(H,1)),k6_vsdiff_1(A,B,C,D,E,k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,H))) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v6_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( D = k3_waybel11(A,B,C) <=> ( u1_struct_0(D) = B & r1_funct_2(u1_struct_0(D),u1_struct_0(A),B,u1_struct_0(A),u1_waybel_0(A,D),C) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( r1_orders_2(D,E,F) <=> r1_orders_2(A,k2_waybel_0(A,D,E),k2_waybel_0(A,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(d10_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(A)))) ) => ( C = k3_waybel23(A,B) <=> ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_funct_1(C,D) = k1_yellow_0(A,D) ) ) ) ) ) )).
fof(d10_waybel34,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v3_altcat_2(B,k4_waybel34(A)) & m1_altcat_2(B,k4_waybel34(A)) ) => ( B = k8_waybel34(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(k4_waybel34(A))) => m1_subset_1(C,u1_struct_0(B)) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k4_waybel34(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel34(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( E = C & F = D ) => ( k1_altcat_1(k4_waybel34(A),C,D) = k1_xboole_0 | ! [G] : ( m1_subset_1(G,k1_altcat_1(k4_waybel34(A),C,D)) => ( r2_tarski(G,k1_altcat_1(B,E,F)) <=> v22_waybel_0(k5_yellow21(k4_waybel34(A),C,D,G),k3_yellow21(k4_waybel34(A),C),k3_yellow21(k4_waybel34(A),D)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d10_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ! [D] : ( D = k5_waybel35(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> E = k1_yellow_0(A,k4_waybel35(A,B,C,E)) ) ) ) ) )).
fof(d10_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_waybel_1(C,A,B) => ( v3_waybel_1(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & C = k1_waybel_1(A,B,D,E) & v5_orders_3(D,A,B) & v5_orders_3(E,B,A) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_orders_2(B,F,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,G)) <=> r1_orders_2(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F),G) ) ) ) ) ) ) ) ) ) )).
fof(d10_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => k5_waybel_4(A,B,C) = a_3_0_waybel_4(A,B,C) ) ) ) )).
fof(d10_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => k10_weierstr(A,B,C) = k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k5_weierstr(A,B),C)) ) ) ) )).
fof(d10_xboole_0,axiom,( ! [A] : ! [B] : ( A = B <=> ( r1_tarski(A,B) & r1_tarski(B,A) ) ) )).
fof(d10_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k9_xboolean(A,B) = k3_xboolean(k5_xboolean(A,B)) ) ) )).
fof(d10_xtuple_0,axiom,( ! [A] : k7_xtuple_0(A) = k1_xtuple_0(k1_xtuple_0(k1_xtuple_0(A))) )).
fof(d10_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( r1_xxreal_0(B,A) => k4_xxreal_0(A,B) = A ) & ( ~ r1_xxreal_0(B,A) => k4_xxreal_0(A,B) = B ) ) ) ) )).
fof(d10_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ( v4_xxreal_2(A) <=> ? [B] : ( v1_xreal_0(B) & m1_xxreal_2(B,A) ) ) ) )).
fof(d10_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v3_yellow18(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k8_altcat_1(A,B) = k6_partfun1(k3_yellow18(A,B)) ) ) ) )).
fof(d10_yellow21,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ ! [B] : ( m1_subset_1(B,A) => v1_xboole_0(B) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & v2_yellow21(B) & l2_altcat_1(B) ) => ( B = k6_yellow21(A) <=> ( ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ( m1_subset_1(C,u1_struct_0(B)) <=> ( v1_orders_2(C) & v3_lattice3(C) & r2_tarski(u1_struct_0(C),A) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))) & v5_orders_3(E,k3_yellow21(B,C),k3_yellow21(B,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))))) ) => ( r2_tarski(E,k1_altcat_1(B,C,D)) <=> v22_waybel_0(E,k3_yellow21(B,C),k3_yellow21(B,D)) ) ) ) ) ) ) ) ) ) )).
fof(d10_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_yellow_0(A,B) => ( C = k2_yellow_0(A,B) <=> ( r1_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattice3(A,B,D) => r1_orders_2(A,D,C) ) ) ) ) ) ) ) )).
fof(d10_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => ! [C] : ! [D] : ( ( v6_waybel_0(D,A) & m1_yellow_6(D,A,B) ) => ( D = k4_yellow_6(A,B,C) <=> ( v4_yellow_0(D,B) & m1_yellow_0(D,B) & u1_struct_0(D) = k8_relset_1(u1_struct_0(B),u1_struct_0(A),u1_waybel_0(A,B),C) ) ) ) ) ) )).
fof(d10_zf_model,axiom,( k10_zf_model = k7_zf_lang(k2_zf_lang(k5_numbers),k12_zf_lang(k2_zf_lang(1),k7_zf_lang(k2_zf_lang(2),k11_zf_lang(k4_zf_lang(k2_zf_lang(2),k2_zf_lang(1)),k7_zf_lang(k2_zf_lang(3),k10_zf_lang(k4_zf_lang(k2_zf_lang(3),k2_zf_lang(2)),k4_zf_lang(k2_zf_lang(3),k2_zf_lang(k5_numbers)))))))) )).
fof(d10_zfmisc_1,axiom,( ! [A] : ( v1_zfmisc_1(A) <=> ! [B] : ! [C] : ( ( r2_hidden(B,A) & r2_hidden(C,A) ) => B = C ) ) )).
fof(d10_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => ( B = k3_zmodul01(A) <=> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) ) )).
fof(d10_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_zmodul01(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & l1_zmodul01(C) ) => ( C = k10_zmodul02(A,B) <=> ( u1_struct_0(C) = k6_zmodul02(A,B) & r1_funct_2(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)),u1_struct_0(C),k2_zfmisc_1(k6_zmodul02(A,B),k6_zmodul02(A,B)),k6_zmodul02(A,B),u1_algstr_0(C),k7_zmodul02(A,B)) & k4_struct_0(C) = k8_zmodul02(A,B) & r1_funct_2(k2_zfmisc_1(k4_numbers,u1_struct_0(C)),u1_struct_0(C),k2_zfmisc_1(k4_numbers,k6_zmodul02(A,B)),k6_zmodul02(A,B),u1_zmodul01(C),k9_zmodul02(A,B)) ) ) ) ) ) )).
fof(d11_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l2_abcmiz_0(A) ) => ( v9_abcmiz_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_abcmiz_0(A,k13_lattice3(A,B,C)) = k3_finsub_1(k1_zfmisc_1(u1_abcmiz_0(A)),k2_abcmiz_0(A,B),k2_abcmiz_0(A,C)) ) ) ) ) )).
fof(d11_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v2_abcmiz_1(B,A) <=> ( B != k9_abcmiz_1 & B != k10_abcmiz_1 ) ) ) ) )).
fof(d11_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( v2_abcmiz_a(B,A) <=> ( v5_abcmiz_1(B,A,k28_abcmiz_1(A)) & v2_abcmiz_1(k10_abcmiz_a(A,k28_abcmiz_1(A),B),A) & m1_subset_1(k10_abcmiz_a(A,k28_abcmiz_1(A),B),u4_struct_0(A)) ) ) ) ) )).
fof(d11_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_absred_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r1_absred_0(A,B,C) ) ) ) ) )).
fof(d11_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v11_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r5_aff_1(A,B,C) & r5_aff_1(A,B,D) & r2_hidden(E,B) & r2_hidden(H,B) & r2_hidden(F,C) & r2_hidden(I,C) & r2_hidden(G,D) & r2_hidden(J,D) & v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_analoaf(A,E,F,H,I) & r2_analoaf(A,E,G,H,J) ) => ( B = C | B = D | r2_analoaf(A,F,G,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_afinsq_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( ( v7_ordinal1(k1_funct_1(B,k5_numbers)) & r2_tarski(k1_funct_1(B,k5_numbers),k1_afinsq_1(B)) ) => ! [C] : ( m2_finseq_1(C,A) => ( C = k12_afinsq_1(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( D = k1_funct_1(B,k5_numbers) => ( k3_finseq_1(C) = D & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) ) => k1_funct_1(C,E) = k1_funct_1(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_afproj(A),k10_afproj(A)))) => ( B = k11_afproj(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ~ ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(E,A) & D = k4_tarski(E,1) & ( ( r2_hidden(C,u1_struct_0(A)) & r2_hidden(C,E) ) | C = k5_afproj(A,E) ) ) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(E,A) & v1_aff_4(F,A) & C = k5_afproj(A,E) & D = k4_tarski(k6_afproj(A,F),2) & r1_aff_4(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d11_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_alg_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k4_alg_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k4_alg_1(A,B))))) ) => ( C = k5_alg_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k4_alg_1(A,B)),C,D) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),B,D) ) ) ) ) ) )).
fof(d11_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v10_algstr_0(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_algstr_0(A,B,C) = k4_struct_0(A) ) ) ) ) )).
fof(d11_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( ( v2_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k8_algstr_4(A,B) = k1_realset1(u2_algstr_0(A),B) ) ) )).
fof(d11_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( m1_altcat_2(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A)) & r2_altcat_2(k3_zfmisc_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u2_altcat_1(B),u2_altcat_1(A)) ) ) ) ) )).
fof(d11_altcat_5,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( r2_tarski(k4_card_3(C),B) => ! [D] : ( m1_altcat_5(D,k7_altcat_1(B),k2_altcat_5(A,B,C),A,C) => ( D = k3_altcat_5(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k12_card_3(C,E) ) ) ) ) ) ) )).
fof(d11_altcat_6,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( r2_tarski(k3_card_3(k3_msafree(A,C)),B) => k4_altcat_6(A,B,C) = k3_altcat_6(A,B,C) ) ) ) )).
fof(d11_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => k10_ami_3(A) = k4_tarski(1,A) ) )).
fof(d11_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k6_ami_wstd(A,B,C) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & v6_membered(E) & E = a_3_0_ami_wstd(A,B,C) & D = k1_ami_wstd(A,B,k1_xxreal_2(E)) ) ) ) ) ) ) )).
fof(d11_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k3_analmetr(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) <=> r5_analmetr(A,B,C,E) ) ) ) ) ) ) ) )).
fof(d11_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_unialg_1(A) ) => ( v4_aofa_000(A) <=> ( r2_tarski(2,k4_finseq_1(u1_unialg_1(A))) & ~ v1_xboole_0(k1_funct_1(u1_unialg_1(A),2)) & v1_funct_1(k1_funct_1(u1_unialg_1(A),2)) & v2_margrel1(k1_funct_1(u1_unialg_1(A),2)) & v3_margrel1(k1_funct_1(u1_unialg_1(A),2),u1_struct_0(A)) & v8_comput_1(k1_funct_1(u1_unialg_1(A),2),2) & m1_subset_1(k1_funct_1(u1_unialg_1(A),2),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) ) ) )).
fof(d11_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l1_aofa_a00(C,A) ) => ( v3_aofa_a00(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),D)) => k1_msafree4(u1_struct_0(A),k10_aofa_a00(A,C,D,F),E) = a_6_0_aofa_a00(A,B,C,D,E,F) ) ) ) ) ) ) ) )).
fof(d11_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) ) => ! [F] : ( ( v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,D),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) ) => ! [G] : ( ( v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) ) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) => k8_aofa_a01(A,B,C,D,E,F,G,H) = k6_aofa_a01(A,B,C,D,E,F,G,k34_aofa_a00(A,C,G,H,k7_aofa_a01(A,B,C,G)),k26_aofa_a00(A,C,G)) ) ) ) ) ) ) ) ) )).
fof(d11_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( D = k15_aofa_i00(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k4_numbers,D,E) = k6_xcmplx_0(k3_funct_2(A,k4_numbers,B,E),k3_funct_2(A,k4_numbers,C,E)) ) ) ) ) ) ) )).
fof(d11_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v3_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => r2_tarski(k6_armstrng(A,C,C),B) ) ) ) )).
fof(d11_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => k9_arytm_3(A,B) = k8_arytm_3(k8_ordinal3(k9_ordinal3(k6_arytm_3(A),k7_arytm_3(B)),k9_ordinal3(k6_arytm_3(B),k7_arytm_3(A))),k9_ordinal3(k7_arytm_3(A),k7_arytm_3(B))) ) ) )).
fof(d11_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k8_asympt_0(A) = k3_xboole_0(k6_asympt_0(A),k7_asympt_0(A)) ) )).
fof(d11_bagorder,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ( B = k9_bagorder(A) <=> ( u1_struct_0(B) = k15_pre_poly(A) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r2_hidden(k4_tarski(C,D),u1_orders_2(B)) <=> r3_pre_poly(A,C,D) ) ) ) ) ) ) ) )).
fof(d11_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bcialg_1(A,B,C) <=> k1_bcialg_1(A,B,C) = k4_struct_0(A) ) ) ) ) )).
fof(d11_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( m3_bcialg_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_hidden(k4_tarski(k1_bcialg_1(A,C,E),k1_bcialg_1(A,D,E)),B) ) ) ) ) ) ) ) )).
fof(d11_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( v10_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,C),D) = k1_bcialg_1(A,k1_bcialg_1(A,B,D),k1_bcialg_1(A,C,D)) ) ) ) ) ) )).
fof(d11_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_1(B,A) => ! [C] : ( ( v12_bcialg_1(C,A) & m2_bcialg_1(C,A) ) => ! [D] : ( m5_bcialg_2(D,A,C) => k6_bcialg_6(A,B,C,D) = k3_tarski(a_4_0_bcialg_6(A,B,C,D)) ) ) ) ) )).
fof(d11_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r6_binop_1(A,B,C) <=> ( r4_binop_1(A,B,C) & r5_binop_1(A,B,C) ) ) ) ) )).
fof(d11_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) ) => ( A = k11_binop_2 <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_binop_1(A,B,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(d11_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_borsuk_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v4_pre_topc(C,A) ) ) ) ) ) )).
fof(d11_borsuk_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ( r3_borsuk_2(A,B,C,D,E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ( m1_borsuk_6(F,A,B,C,D,E) <=> ( v5_pre_topc(F,k2_borsuk_1(k5_topmetr,k5_topmetr),A) & ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ( k1_binop_1(F,G,k5_numbers) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),D,G) & k1_binop_1(F,G,1) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),E,G) & k1_binop_1(F,k5_numbers,G) = B & k1_binop_1(F,1,G) = C ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_borsuk_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( v1_xreal_0(E) => ( r1_borsuk_7(A,B,C,D,E) <=> ( m1_subset_1(C,u1_struct_0(k7_toprealb(A,B,E))) & m1_subset_1(D,u1_struct_0(k7_toprealb(A,B,E))) & r2_tarski(B,k1_rltopsp1(k15_euclid(A),C,D)) ) ) ) ) ) ) ) )).
fof(d11_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( B = k12_bvfunc_1(A) <=> ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k5_margrel1,B,C) = k7_margrel1 ) ) ) ) )).
fof(d11_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_c0sp1(B,A) => ( v1_xboole_0(B) | k5_c0sp1(A,B) = k2_partfun1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,B)) ) ) ) ) )).
fof(d11_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_valuat_1(D,A,C) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ( r6_calcul_1(A,B,C,D,E) <=> ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_tarski(F,B) => r1_valuat_1(A,C,F,D,E) ) ) ) ) ) ) ) ) )).
fof(d11_card_3,axiom,( ! [A] : ( v4_funct_1(A) => k9_card_3(A) = k1_setfam_1(a_1_0_card_3(A)) ) )).
fof(d11_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => k5_card_fil(A) = k1_card_fil(A,k4_card_fil(A)) ) )).
fof(d11_cat_1,axiom,( ! [A] : ! [B] : k3_cat_1(A,B) = g1_cat_1(k1_tarski(A),k1_tarski(B),k19_funcop_1(B,A),k19_funcop_1(B,A),k18_funcop_1(B,B,B)) )).
fof(d11_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => k13_cat_2(A,B) = k10_funct_3(u4_struct_0(A),u4_struct_0(B)) ) ) )).
fof(d11_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k10_cat_4(A,B) = k8_cat_4(A,k1_cat_4(A),B) ) ) )).
fof(d11_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_cat_1(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v1_cat_5(C) & l1_cat_1(C) ) => ( C = k11_cat_5(A,B) <=> ( u1_struct_0(C) = k9_cat_5(A,B) & ! [D] : ( m2_subset_1(D,u4_struct_0(A),k9_cat_5(A,B)) => ! [E] : ( m2_subset_1(E,u4_struct_0(A),k9_cat_5(A,B)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( ( k3_graph_1(A,E) = k4_graph_1(A,F) & D = k1_cat_1(A,F,E) ) => m1_subset_1(k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,D,E),F),u4_struct_0(C)) ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ? [E] : ( m2_subset_1(E,u4_struct_0(A),k9_cat_5(A,B)) & ? [F] : ( m2_subset_1(F,u4_struct_0(A),k9_cat_5(A,B)) & ? [G] : ( m1_subset_1(G,u4_struct_0(A)) & D = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,E,F),G) & k3_graph_1(A,F) = k4_graph_1(A,G) & E = k1_cat_1(A,G,F) ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ! [F] : ( m2_subset_1(F,u4_struct_0(A),k9_cat_5(A,B)) => ! [G] : ( m2_subset_1(G,u4_struct_0(A),k9_cat_5(A,B)) => ! [H] : ( m2_subset_1(H,u4_struct_0(A),k9_cat_5(A,B)) => ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ! [J] : ( m1_subset_1(J,u4_struct_0(A)) => ( ( D = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,F,G),I) & E = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,G,H),J) ) => k1_cat_1(C,D,E) = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,F,H),k1_cat_1(A,I,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v9_cat_6(A) <=> ( v6_cat_6(A) & v7_cat_6(A) ) ) ) )).
fof(d11_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ( r1_cat_7(A,B,C) <=> ( k1_cat_7(A,B,C) != k1_xboole_0 & k1_cat_7(A,C,B) != k1_xboole_0 & ? [D] : ( m1_cat_7(D,A,B,C) & ? [E] : ( m1_cat_7(E,A,C,B) & k4_cat_7(A,B,C,B,D,E) = k3_cat_7(A,B) & k4_cat_7(A,C,B,C,E,D) = k3_cat_7(A,C) ) ) ) ) ) ) ) )).
fof(d11_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_catalg_1(u1_struct_0(A))),u1_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_catalg_1(u1_struct_0(A))),u1_struct_0(k3_catalg_1(u1_struct_0(B)))))) ) => ( D = k11_catalg_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k3_catalg_1(u1_struct_0(A)))) => k3_funct_2(u1_struct_0(k3_catalg_1(u1_struct_0(A))),u1_struct_0(k3_catalg_1(u1_struct_0(B))),D,E) = k4_tarski(k5_numbers,k3_relat_1(k2_xfamily(E),k7_cat_1(A,B,C))) ) ) ) ) ) ) )).
fof(d11_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) => ( v6_cfdiff_1(A) <=> v5_cfdiff_1(k3_subset_1(k2_numbers,A)) ) ) )).
fof(d11_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v3_cgames_1(A) ) => ( v4_cgames_1(A) <=> ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ( ~ r1_xxreal_0(B,1) => r2_tarski(k1_funct_1(A,k6_xcmplx_0(B,1)),k8_cgames_1(k1_funct_1(A,B))) ) ) ) ) )).
fof(d11_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k4_chain_1(A,B,C)) => k9_chain_1(A,B,C,D) = a_4_0_chain_1(A,B,C,D) ) ) ) ) )).
fof(d11_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v6_chord(A) <=> ! [B] : ( m3_glib_001(B,A) => ( v8_glib_001(B,A) => ( r1_xxreal_0(k15_glib_001(A,B),3) | v5_chord(B,A) ) ) ) ) ) )).
fof(d11_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v6_circcmb3(A) <=> ~ v1_facirc_1(k2_msafree2(A)) ) ) )).
fof(d11_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v5_circcomb(A) <=> ? [B] : ( l3_msualg_1(B,A) & v4_circcomb(B,A) ) ) ) )).
fof(d11_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r3_circtrm1(A,B,C) <=> r1_tarski(k7_relat_1(C,k2_msafree2(A)),k2_msafree2(B)) ) ) ) ) )).
fof(d11_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k8_clopban1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_clopban1(A,B),k1_numbers))) ) => ( C = k13_clopban1(A,B) <=> ! [D] : ( r2_hidden(D,k8_clopban1(A,B)) => k1_funct_1(C,D) = k2_seq_4(k12_clopban1(A,B,k11_clopban1(A,B,D))) ) ) ) ) ) )).
fof(d11_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clopban2(A) ) => ( v4_clopban2(A) <=> ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_clvect_1(A,k6_algstr_0(A,C,D),B) = k6_algstr_0(A,C,k1_clvect_1(A,D,B)) ) ) ) ) ) )).
fof(d11_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) ) => ( v8_closure2(C,A,B) <=> ! [D] : ( m1_closure2(D,A,B,k6_closure2(A,B)) => ! [E] : ( m1_closure2(E,A,B,k6_closure2(A,B)) => ( r2_pboole(A,D,E) => r2_pboole(A,k7_closure2(A,B,C,D),k7_closure2(A,B,C,E)) ) ) ) ) ) ) )).
fof(d11_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_clvect_1(C,A) => k5_clvect_1(A,B,C) = a_3_1_clvect_1(A,B,C) ) ) ) )).
fof(d11_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ( v4_clvect_2(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_clvect_2(B,A) => v1_clvect_2(B,A) ) ) ) ) )).
fof(d11_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k5_coh_sp(A),k3_coh_sp(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A),k3_coh_sp(A)))) ) => ( B = k10_coh_sp(A) <=> ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => k3_funct_2(k5_coh_sp(A),k3_coh_sp(A),B,C) = k6_coh_sp(A,C) ) ) ) )).
fof(d11_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v6_cohsp_1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & r1_tarski(B,C) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) )).
fof(d11_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(B))) => k5_combgras(A,B,C,D) = k8_relat_1(u1_combgras(A,B,C),D) ) ) ) ) )).
fof(d11_compl_sp,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : k3_compl_sp(A,B,C) = g1_metric_1(k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k2_compl_sp(A,B,C)) ) ) )).
fof(d11_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k8_complex1(A) = k6_xcmplx_0(k3_complex1(A),k3_xcmplx_0(k4_complex1(A),k7_complex1)) ) )).
fof(d11_compos_0,axiom,( ! [A] : ( v5_compos_0(A) => k9_compos_0(A) = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) ) )).
fof(d11_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) ) => ( v2_compos_1(B,A) <=> ~ r2_tarski(k2_compos_1(A),k10_xtuple_0(B)) ) ) ) )).
fof(d11_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_rfunct_3(D,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ( D = k7_comput_1(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)))) & D = k3_card_3(E) & ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => k3_funct_2(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1),E,F) = k6_comput_1(A,B,C,F) ) ) ) ) ) ) ) )).
fof(d11_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_convex4(C,A) => k9_convex4(A,B,C) = k5_convex4(A,B,k8_convex4(A,C)) ) ) ) )).
fof(d11_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => k14_cqc_sim1(A,B) = k10_cqc_sim1(A,B,k13_cqc_sim1(A,B),k11_cqc_sim1(k3_qc_lang1(A))) ) ) )).
fof(d11_csspace,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_csspace))) => ( A = k9_csspace <=> ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,k1_csspace) & v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B)),k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B)))) ) ) ) ) )).
fof(d11_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k6_decomp_1(A) = a_1_0_decomp_1(A) ) )).
fof(d11_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( k9_xtuple_0(A) = k4_ordinal1 & r2_tarski(B,k10_xtuple_0(A)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k7_dickson(A,B) <=> ( k1_funct_1(A,C) = B & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k1_funct_1(A,D) = B => r1_xxreal_0(C,D) ) ) ) ) ) ) ) )).
fof(d11_diff_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => k11_diff_1(A,B,C,D,E) = k7_xcmplx_0(k6_xcmplx_0(k10_diff_1(A,B,C,D),k10_diff_1(A,C,D,E)),k6_xcmplx_0(B,E)) ) ) ) ) ) )).
fof(d11_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_eqrel_1(B,u1_struct_0(A)) => ( v5_dilworth(B,A) <=> ! [C] : ( r2_tarski(C,B) => ( v1_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(d11_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m3_dist_2(C,A,B) => k9_dist_2(A,B,C) = k6_dist_2(A,B,k7_dist_2(A,k6_domain_1(A,C))) ) ) ) )).
fof(d11_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(B,k4_dtconstr(A)) => ! [C] : ( m2_finseq_1(C,k1_lang1(A)) => ( C = k15_dtconstr(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_dtconstr(A),k3_finseq_2(k1_lang1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(A),k3_finseq_2(k1_lang1(A))))) & C = k1_funct_1(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,k1_lang1(A)) => k1_funct_1(D,k2_trees_4(u1_struct_0(A),E)) = k3_pre_poly(u1_struct_0(A),E) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ( r1_lang1(A,E,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),F)) => k1_funct_1(D,k8_trees_4(u1_struct_0(A),E,F)) = k5_pre_poly(k1_lang1(A),k4_finseqop(k4_dtconstr(A),k3_finseq_2(k1_lang1(A)),F,D)) ) ) ) ) ) ) ) ) ) )).
fof(d11_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k12_dualsp01(A) = g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A))) ) )).
fof(d11_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k9_e_siec(A) = k4_xboole_0(k2_xboole_0(k2_relat_1(u1_e_siec(A)),u2_e_siec(A)),k3_struct_0(A)) ) )).
fof(d11_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => k7_ec_pf_1(A) = a_1_0_ec_pf_1(A) ) )).
fof(d11_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)))) ) => ( B = k10_ens_1(A) <=> ( ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => ! [D] : ( m1_subset_1(D,k2_ens_1(A)) => ( r2_tarski(k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D),k9_xtuple_0(B)) <=> k3_ens_1(A,C) = k4_ens_1(A,D) ) ) ) & ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => ! [D] : ( m1_subset_1(D,k2_ens_1(A)) => ( k3_ens_1(A,C) = k4_ens_1(A,D) => k1_funct_1(B,k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D)) = k6_ens_1(A,D,C) ) ) ) ) ) ) ) )).
fof(d11_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k8_entropy1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k6_entropy1(k7_matrix_0(k1_numbers,A,C)) ) ) ) ) ) ) )).
fof(d11_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k20_euclid(A) = k5_finseq_2(k4_ordinal1,A,1) ) )).
fof(d11_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ( r1_euclid_3(A,k5_algstr_0(k15_euclid(A),C,B),k5_algstr_0(k15_euclid(A),D,B)) & r2_tarski(E,k9_euclid_3(A,B,C,D)) ) => ! [F] : ( v1_xreal_0(F) => ( F = k10_euclid_3(A,B,C,D,E) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & k2_xcmplx_0(k2_xcmplx_0(F,G),H) = 1 & E = k3_rlvect_1(k15_euclid(A),k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,F),k1_rlvect_1(k15_euclid(A),C,G)),k1_rlvect_1(k15_euclid(A),D,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ( ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k5_euclid_7(A,B) = k1_funct_1(k4_euclid_7(A,B),k3_finseq_1(B)) ) & ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k5_euclid_7(A,B) = k5_euclid(A) ) ) ) ) )).
fof(d11_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => k5_euclidlp(A) = a_1_1_euclidlp(A) ) )).
fof(d11_exchsort,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => k6_exchsort(A,B) = a_2_0_exchsort(A,B) ) ) )).
fof(d11_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) ) => ( v5_extpro_1(D,A,B,C) <=> ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_partfun1(E,u1_struct_0(B)) ) => ( r1_tarski(D,E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(B)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( r1_tarski(C,F) => r1_extpro_1(A,B,F,E) ) ) ) ) ) ) ) ) ) )).
fof(d11_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => k7_facirc_1(A,B,C,D) = k7_circcomb(3,k5_margrel1,D,k11_finseq_1(A,B,C)) ) )).
fof(d11_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k11_ff_siec(A) = u1_struct_0(A) ) )).
fof(d11_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( v1_relat_1(C) => ( C = k8_filter_0(A,B) <=> ( r1_tarski(k1_relat_1(C),u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E),C) <=> r2_tarski(k7_filter_0(A,D,E),B) ) ) ) ) ) ) ) ) )).
fof(d11_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k8_filter_2(A,B,C) = a_3_0_filter_2(A,B,C) ) ) ) )).
fof(d11_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k11_fin_topo(A,B) = k7_subset_1(u1_struct_0(A),B,k10_fin_topo(A,B)) ) ) )).
fof(d11_finance1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,C) & v4_prob_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,E))) ) => ! [G] : ( m1_subset_1(G,C) => k11_finance1(A,B,C,D,E,F,G) = k1_funct_1(k3_series_1(k10_finance1(C,D,E,G,F,B)),A) ) ) ) ) ) ) ) )).
fof(d11_finseq_1,axiom,( ! [A] : ! [B] : ( B = k13_finseq_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> m2_finseq_1(C,A) ) ) )).
fof(d11_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k8_finseq_8(A,B,C) = k4_finseq_8(A,B,C) ) ) ) )).
fof(d11_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k10_fintopo2(A,B) = a_2_2_fintopo2(A,B) ) ) )).
fof(d11_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k7_fomodel0(A) = k6_fomodel0(A,k2_fomodel0(A)) ) )).
fof(d11_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k11_fomodel1(A) = k4_finseq_2(1,k2_fomodel1(A)) ) )).
fof(d11_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => k10_fomodel2(A,B,C) = k1_funct_4(C,k17_funcop_1(k18_fomodel1(A),k2_fomodel2(B))) ) ) ) )).
fof(d11_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_bvfunc_1(B,A,k10_eqrel_1(A)) => ! [C] : ( m1_subset_1(C,A) => ( C = k14_fomodel3(A,B) <=> B = k6_domain_1(A,C) ) ) ) ) )).
fof(d11_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_freealg(B) ) => ! [C] : ( m2_finseq_1(C,k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B)))) => ( C = k6_freealg(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k5_freealg(A,B,D) ) ) ) ) ) ) ) )).
fof(d11_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( v7_ordinal1(F) => ( r6_fsm_1(A,B,C,D,E,F) <=> ! [G] : ( m2_finseq_1(G,A) => ( r1_xxreal_0(k3_finseq_1(G),F) => k4_fsm_1(A,B,C,D,G) = k4_fsm_1(A,B,C,E,G) ) ) ) ) ) ) ) ) ) )).
fof(d11_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k11_ftacell1(A,B,C,D,E) = k33_gfacirc1(k24_gfacirc1(A,B,C),E,D) )).
fof(d11_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( A = B <=> ( k9_xtuple_0(A) = k9_xtuple_0(B) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(d11_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,B) & v1_funct_1(E) ) => ( r1_tarski(k2_relset_1(C,D),k9_xtuple_0(E)) => k8_funct_2(A,B,C,D,E) = k3_relat_1(D,E) ) ) ) ) )).
fof(d11_funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_relat_1(C) => ( C = k8_funct_7(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))))) & C = k1_funct_1(D,B) & r2_relset_1(k1_relat_1(A),k1_relat_1(A),k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),D,k5_numbers),k6_partfun1(k1_relat_1(A))) & ! [E] : ( v7_ordinal1(E) => k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),D,k1_nat_1(E,1)) = k3_relat_1(A,k1_funct_1(D,E)) ) ) ) ) ) ) )).
fof(d11_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( l1_functor0(C,A,B) => ( v8_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_funct_1(u1_altcat_1(B),k2_binop_1(u1_struct_0(A),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),D,E)) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d11_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => k6_fvaluat1(A,B) = a_2_1_fvaluat1(A,B) ) ) )).
fof(d11_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k11_gate_5(A,B,C,D,E,F) = k35_gate_1(k7_gate_5(A,B,C,D,E),k2_gate_1(A,F),k8_gate_5(A,B,C,D,E),k2_gate_1(B,F),k1_xboole_0) )).
fof(d11_gaussint,axiom,( k8_gaussint = a_0_1_gaussint )).
fof(d11_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v3_gcd_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_gcd_1(A,D,B) & r1_gcd_1(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_gcd_1(A,E,B) & r1_gcd_1(A,E,C) ) => r1_gcd_1(A,E,D) ) ) ) ) ) ) ) )).
fof(d11_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_geomtrap(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_geomtrap(A,B,C) = k4_binop_1(u1_struct_0(A),u1_midsp_1(A),B,C) ) ) ) )).
fof(d11_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k11_gfacirc1(A,B,C) = k10_facirc_1(A,B,C,k1_facirc_1) )).
fof(d11_glib_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => k12_glib_000(A,B,C,D) = k7_finseq_4(A,B,C,D) ) ) ) )).
fof(d11_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( v1_abian(C) | v1_abian(D) | k8_glib_001(A,B,C,D) = k2_graph_2(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B,C,D) ) ) & ( ~ ( ~ v1_abian(C) & ~ v1_abian(D) & r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k8_glib_001(A,B,C,D) = B ) ) ) ) ) ) )).
fof(d11_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m2_glib_004(C,A) => ( C = k10_glib_004(A,B) <=> ( k9_glib_004(A,C,k5_numbers) = k8_glib_004(A,B) & ! [D] : ( v7_ordinal1(D) => k9_glib_004(A,C,k1_nat_1(D,1)) = k7_glib_004(A,k9_glib_004(A,C,D)) ) ) ) ) ) ) )).
fof(d11_graph_1,axiom,( ! [A] : ( l1_graph_1(A) => ( v6_graph_1(A) <=> ( v1_finset_1(u1_struct_0(A)) & v1_finset_1(u4_struct_0(A)) ) ) ) )).
fof(d11_graph_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ! [D] : ( v7_ordinal1(D) => ( D = k8_graph_2(A,B,C) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_numbers)) & E = k10_xtuple_0(k2_graph_2(k4_numbers,A,B,C)) & k1_nat_1(D,1) = k2_xcmplx_0(k4_finseq_4(k2_graph_2(k4_numbers,A,B,C),k2_xxreal_2(E)),B) ) ) ) ) ) ) ) )).
fof(d11_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( k7_graph_3(A,B,C) != k5_numbers => k12_graph_3(A,B,C) = a_3_3_graph_3(A,B,C) ) ) ) )).
fof(d11_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => k7_graph_5(A) = a_1_0_graph_5(A) ) )).
fof(d11_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_funct_2(B,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ( B = k15_graphsp(A) <=> ( k9_xtuple_0(B) = k3_finseq_2(k1_numbers) & ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => k6_graphsp(B,C) = k2_graphsp(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A)),1),k14_graphsp(k7_graphsp(C,A),C,A),C,k4_xcmplx_0(1)) ) ) ) ) ) )).
fof(d11_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => k9_grcat_1(A) = u3_grcat_1(A) ) )).
fof(d11_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( v4_group_1(B,A) => ( C = k6_group_1(A,B) <=> C = k5_numbers ) ) & ( ~ v4_group_1(B,A) => ( C = k6_group_1(A,B) <=> ( k5_group_1(A,B,C) = k1_group_1(A) & C != k5_numbers & ! [D] : ( v7_ordinal1(D) => ( k5_group_1(A,B,D) = k1_group_1(A) => ( D = k5_numbers | r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ! [D] : ( m1_subset_1(D,B) => k11_group_10(A,B,C,D) = k10_group_10(A,B,C,k6_domain_1(B,D)) ) ) ) ) )).
fof(d11_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k11_group_2(A,B,C) = k2_group_2(A,C,k8_group_2(A,B)) ) ) ) )).
fof(d11_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ( r5_group_3(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) = k6_group_3(A,C,D) ) ) ) ) ) )).
fof(d11_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) ) => ( B = k10_group_4(A) <=> ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => k1_binop_1(B,C,D) = k10_group_2(A,C,D) ) ) ) ) ) )).
fof(d11_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r1_group_6(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d11_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( C = k6_group_9(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( v2_group_9(D,A) & m1_group_9(D,A,B) ) ) ) ) )).
fof(d11_hahnban1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( v3_hahnban1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,C,k1_algstr_0(B,D,E)),k3_real_1(k3_funct_2(u1_struct_0(B),k1_numbers,C,D),k3_funct_2(u1_struct_0(B),k1_numbers,C,E))) ) ) ) ) ) ) )).
fof(d11_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => k6_hermitan(A,B,C) = k3_hermitan(A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))),k16_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))) ) ) ) )).
fof(d11_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))))) ) => ( C = k11_heyting1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k11_normform(A))) => k3_funct_2(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),C,D) = k6_subset_1(B,D) ) ) ) ) )).
fof(d11_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( B = k5_hilbert1(A) <=> ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( r2_tarski(C,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_hilbert1)) => ( ( v6_hilbert1(D) & r1_tarski(A,D) ) => r2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d11_huffman1,axiom,( ! [A] : k10_huffman1(A) = a_1_2_huffman1(A) )).
fof(d11_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( D = k11_idea_1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ( ( E = 1 => k1_recdef_1(D,E) = k9_idea_1(A,k1_recdef_1(B,1),k1_recdef_1(C,1)) ) & ( E = 2 => k1_recdef_1(D,E) = k4_idea_1(A,k1_recdef_1(B,2),k1_recdef_1(C,2)) ) & ( E = 3 => k1_recdef_1(D,E) = k4_idea_1(A,k1_recdef_1(B,3),k1_recdef_1(C,3)) ) & ( E = 4 => k1_recdef_1(D,E) = k9_idea_1(A,k1_recdef_1(B,4),k1_recdef_1(C,4)) ) & ~ ( E != 1 & E != 2 & E != 3 & E != 4 & k1_recdef_1(D,E) != k1_recdef_1(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_ideal_1(C,A,B) => ! [D] : ( m2_finseq_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ( r1_ideal_1(A,B,C,D) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( r2_tarski(E,k1_relset_1(k4_ordinal1,C)) => ( k1_funct_1(C,E) = k6_algstr_0(A,k6_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),D,E)),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),D,E))),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),D,E))) & r2_tarski(k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),D,E)),B) ) ) ) ) ) ) ) ) )).
fof(d11_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v8_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u4_incsp_1(A)) => ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & r2_incsp_1(A,C,B) ) ) ) ) )).
fof(d11_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => ! [D] : ( m2_cat_1(D,A,C) => ( D = k9_index_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k3_funct_2(u4_struct_0(A),u4_struct_0(C),D,E) = k4_tarski(k4_tarski(k2_index_1(u1_struct_0(A),k1_xfamily(B),k3_graph_1(A,E)),k2_index_1(u1_struct_0(A),k1_xfamily(B),k4_graph_1(A,E))),k7_index_1(u4_struct_0(A),k3_relat_1(u1_graph_1(A),k1_xfamily(B)),k3_relat_1(u2_graph_1(A),k1_xfamily(B)),k8_index_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B),E)) ) ) ) ) ) ) )).
fof(d11_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k5_card_1(A),k5_card_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k5_card_1(A)))) ) => ( B = k8_int_3(A) <=> ! [C] : ( m1_subset_1(C,k5_card_1(A)) => k1_funct_1(B,C) = k5_int_1(k6_xcmplx_0(A,C),A) ) ) ) ) ) )).
fof(d11_integr15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_euclid(A)))) ) => k9_integr15(A,B,C,D) = k43_valued_2(C,k1_euclid(A),D,B) ) ) ) )).
fof(d11_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_integra1(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A),k1_numbers))) ) => ( C = k9_integra1(A,B) <=> ! [D] : ( m1_integra1(D,A) => k1_funct_1(C,D) = k7_integra1(A,B,D) ) ) ) ) ) )).
fof(d11_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => k4_intpro_1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1,2),A),B) ) ) )).
fof(d11_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_isocat_1(A,B) => ! [C] : ( m2_cat_1(C,A,B) => ( m1_isocat_1(C,A,B) <=> ? [D] : ( m2_cat_1(D,B,A) & r3_nattra_1(A,A,k9_cat_1(A,B,A,C,D),k10_cat_1(A)) & r3_nattra_1(B,B,k9_cat_1(B,A,B,D,C),k10_cat_1(B)) ) ) ) ) ) ) )).
fof(d11_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,C) => ! [G] : ( m2_cat_1(G,A,C) => ( ( r1_nattra_1(A,B,D,E) & r1_nattra_1(A,C,F,G) ) => ! [H] : ( m1_nattra_1(H,A,B,D,E) => ! [I] : ( m1_nattra_1(I,A,C,F,G) => k13_isocat_2(A,B,C,D,E,F,G,H,I) = k14_funct_3(u1_struct_0(A),u4_struct_0(B),u4_struct_0(C),H,I) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k11_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k23_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d11_jordan6,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k10_jordan6(A) = k1_jordan5c(k9_jordan6(A),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k18_pscomp_1(A),k22_pscomp_1(A)) ) )).
fof(d11_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k10_knaster(A,B) = k6_knaster(A,B,k6_lattices(A),k2_card_1(u1_struct_0(A))) ) ) )).
fof(d11_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_lattad_1(A,B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k6_lattad_1(A,B,C) <=> ( r1_lattices(A,D,B) & r1_lattices(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_lattices(A,E,B) & r1_lattices(A,E,C) ) => r1_lattices(A,E,D) ) ) ) ) ) ) ) ) ) )).
fof(d11_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_lattice3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,E,B) & r1_orders_2(A,E,C) ) => r1_orders_2(A,E,D) ) ) ) ) ) ) ) )).
fof(d11_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_lattice4(A,B) = a_2_0_lattice4(A,B) ) ) )).
fof(d11_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( v1_card_1(D) => ( D = k7_lattice5(A,B,C) <=> r3_tarski(D,a_3_0_lattice5(A,B,C)) ) ) ) ) ) )).
fof(d11_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( m1_lattice8(D,A,B,C) <=> ( k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k4_tarski(A,C) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( ~ v1_xboole_0(F) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(F,F),u1_struct_0(B)) & v1_lattice5(G,F,B) & v2_lattice5(G,F,B) & v3_lattice5(G,F,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(F,F),u1_struct_0(B)))) & ? [H] : ( ~ v1_xboole_0(H) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(H,H),u1_struct_0(B)) & v1_lattice5(I,H,B) & v2_lattice5(I,H,B) & v3_lattice5(I,H,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H,H),u1_struct_0(B)))) & r2_lattice8(F,B,G,H,I) & k1_funct_1(D,E) = k4_tarski(F,G) & k1_funct_1(D,k1_nat_1(E,1)) = k4_tarski(H,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v11_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,k2_lattices(A,B,C),k2_lattices(A,B,D)) ) ) ) ) ) )).
fof(d11_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k9_lexbfs(A) = k4_tarski(k1_xboole_0,k7_funcop_1(k6_glib_000(A),k1_xboole_0)) ) )).
fof(d11_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( C != k1_xboole_0 => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( m9_lmod_7(D,A,B,C) <=> m1_subset_1(D,C) ) ) ) ) ) ) )).
fof(d11_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( r2_hidden(C,k10_lopban_1(A,B)) => k13_lopban_1(A,B,C) = C ) ) ) )).
fof(d11_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lopban_2(A) ) => ( v4_lopban_2(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_rlvect_1(A,k6_algstr_0(A,C,D),B) = k6_algstr_0(A,C,k1_rlvect_1(A,D,B)) ) ) ) ) ) )).
fof(d11_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k10_lopban_4(A,B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k9_lopban_4(A),B) ) ) )).
fof(d11_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r1_lpspacc1(A,B,C,D,E) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) & k12_supinf_2(C,F) = k5_numbers & r2_relset_1(A,k2_numbers,k2_partfun1(A,k2_numbers,D,k3_subset_1(A,F)),k2_partfun1(A,k2_numbers,E,k3_subset_1(A,F))) ) ) ) ) ) ) ) )).
fof(d11_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k11_lpspace1(A,B,C) = a_3_1_lpspace1(A,B,C) ) ) ) )).
fof(d11_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ! [E] : ( ( v1_rlvect_1(E) & l1_rlvect_1(E) ) => ( E = k10_lpspace2(A,B,C,D) <=> ( u1_struct_0(E) = k6_lpspace2(A,B,C,D) & u1_algstr_0(E) = k7_lpspace2(A,B,C,D) & k4_struct_0(E) = k8_lpspace2(A,B,C,D) & u1_rlvect_1(E) = k9_lpspace2(A,B,C,D) ) ) ) ) ) ) ) )).
fof(d11_ltlaxio1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1))) ) => ( B = k11_ltlaxio1(A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,C,k2_hilbert1)) = k5_ordinal1 & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,C,k1_hilbert2(D))) = 1 <=> r2_tarski(k1_hilbert2(D),k3_funct_2(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1),A,C)) ) ) & ! [D] : ( m1_subset_1(D,k1_hilbert1) => ! [E] : ( m1_subset_1(E,k1_hilbert1) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,C,k3_hilbert1(D,E))) = k6_xboolean(k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,C,D)),k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,C,E))) & ~ ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,C,k4_hilbert1(D,E))) = 1 & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( ~ r1_xxreal_0(F,k5_ordinal1) & k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,F),E)) = 1 & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(F,G) | k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,G),D)) = 1 ) ) ) ) ) ) & ( ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(F,k5_ordinal1) & k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,F),E)) = 1 & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(F,G) | k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,G),D)) = 1 ) ) ) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,B,k1_domain_1(k4_ordinal1,k1_hilbert1,C,k4_hilbert1(D,E))) = 1 ) ) ) ) ) ) ) ) ) )).
fof(d11_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( v3_ltlaxio3(A) <=> k5_ltlaxio3(k10_ltlaxio3(A)) = k10_ltlaxio3(A) ) ) )).
fof(d11_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & v1_funct_1(B) & v3_trees_2(B) & v3_trees_9(B) ) => ( m3_ltlaxio4(B,A) <=> ( k1_funct_1(B,k1_xboole_0) = A & ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( D = k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,C) => k2_trees_9(B,C) = o_1_7_ltlaxio4(D) ) ) ) ) ) ) ) )).
fof(d11_margrel1,axiom,( k5_margrel1 = k2_tarski(k5_numbers,1) )).
fof(d11_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : k10_matrix_0(A,B,C) = k2_finseq_2(A,k2_finseq_2(B,C)) ) ) )).
fof(d11_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k7_matrix_1(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & r2_tarski(C,A) & B = k3_finseq_1(C) ) ) ) ) )).
fof(d11_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k12_matrixc1(A) = k17_rvsum_1(k10_matrixc1(A)) ) )).
fof(d11_matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrixj1(B,u1_struct_0(A)) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ! [C] : ( ( v1_matrixj1(C,u1_struct_0(A)) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ! [D] : ( ( v1_matrixj1(D,u1_struct_0(A)) & m2_finseq_1(D,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( D = k26_matrixj1(A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k2_matrixj1(u1_struct_0(A),D,E) = k4_matrix_3(A,k2_matrixj1(u1_struct_0(A),B,E),k2_matrixj1(u1_struct_0(A),C,E)) ) ) ) ) ) ) ) ) )).
fof(d11_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k11_matrixr1(A,B) = k8_matrix_0(k1_numbers,k6_matrixr1(A,k9_matrixr1(B)),1) ) ) )).
fof(d11_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_matroid0(A,B) = k3_tarski(a_2_1_matroid0(A,B)) ) ) )).
fof(d11_measure6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_seq_2(B) <=> v4_xxreal_2(k7_relset_1(A,k1_numbers,B,A)) ) ) )).
fof(d11_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [B] : ( m2_measure7(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) ) => ( k11_funcop_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,C) = k2_zfmisc_1(k4_ordinal1,k4_ordinal1) => ! [D] : ( m1_measure7(D,k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),A))) => ( D = k11_measure7(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => k2_measure7(k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),A)),D,E) = k2_measure7(k8_nat_1(k9_setfam_1(k1_numbers),A,k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,C),E)),k4_measure7(A,B,k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,C),E)),k1_recdef_1(k5_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,C),E)) ) ) ) ) ) ) ) )).
fof(d11_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k14_member_1(A,B) = k12_member_1(A,k6_member_1(B)) ) ) )).
fof(d11_membered,axiom,( ! [A] : ( v5_membered(A) => ! [B] : ( r1_tarski(A,B) <=> ! [C] : ( v1_int_1(C) => ( r2_hidden(C,A) => r2_hidden(C,B) ) ) ) ) )).
fof(d11_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) ) => ( v5_memstr_0(D,A,B,C) <=> ( r2_tarski(k4_struct_0(B),k9_xtuple_0(D)) & k5_memstr_0(A,B,D) = C ) ) ) ) ) ) )).
fof(d11_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( C = k11_mesfun7c(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,D)) = k1_relset_1(A,k4_mesfunc5(A,k2_numbers,B,D)) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,D))) => k12_supinf_2(k4_mesfunc5(A,k1_numbers,C,D),E) = k12_supinf_2(k7_comseq_3(k9_mesfun7c(A,B,E)),D) ) ) ) ) ) ) ) ) )).
fof(d11_mesfunc1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( C = k11_mesfunc1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k9_xtuple_0(A)) & r1_xxreal_0(k1_funct_1(A,D),B) ) ) ) ) ) )).
fof(d11_mesfunc5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v10_mesfunc5(A) <=> ~ ( ~ v7_mesfunc5(A) & ~ v8_mesfunc5(A) & ~ v9_mesfunc5(A) ) ) ) )).
fof(d11_metric_1,axiom,( ! [A] : k5_metric_1(A) = g1_metric_1(A,k4_metric_1(A)) )).
fof(d11_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => k8_metric_2(A) = a_1_4_metric_2(A) ) )).
fof(d11_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ( m2_midsp_3(B,A) <=> v2_midsp_3(B,A) ) ) ) )).
fof(d11_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ( D = k10_mmlquer2(A,B,C) <=> ( k2_relset_1(A,D) = C & v2_funct_1(D) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k1_relset_1(k4_ordinal1,D)) & r2_tarski(F,k1_relset_1(k4_ordinal1,D)) ) => ( r1_xxreal_0(E,F) <=> r1_mmlquery(k1_funct_1(D,E),k1_funct_1(D,F),B) ) ) ) ) ) ) ) ) ) )).
fof(d11_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( v7_ordinal1(D) => k11_mmlquery(A,B,C,D) = a_4_6_mmlquery(A,B,C,D) ) ) ) )).
fof(d11_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( m1_mod_2(E,A,C,D) => ! [F] : ( m1_mod_2(F,A,B,C) => k9_mod_2(A,B,C,D,E,F) = k8_mod_2(A,E,F) ) ) ) ) ) ) )).
fof(d11_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_modcat_1(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A,B),B))) ) => ( C = k8_modcat_1(A,B) <=> ! [D] : ( m4_modcat_1(D,A,k4_modcat_1(A,B)) => k3_funct_2(k4_modcat_1(A,B),B,C,D) = k5_modcat_1(A,B,D) ) ) ) ) ) )).
fof(d11_modelc_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k11_modelc_1(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,4),A),B) ) ) )).
fof(d11_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => ( v3_modelc_3(B,A) <=> u2_modelc_3(A,B) = k1_xboole_0 ) ) ) )).
fof(d11_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v5_group_1(A) <=> v1_binop_1(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d11_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( C = k8_msafree(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k7_msafree(A,B,D) ) ) ) ) ) )).
fof(d11_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v4_msafree2(B,A) <=> v2_finset_1(u3_msualg_1(A,B)) ) ) ) )).
fof(d11_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m3_pboole(B,u1_struct_0(A),k4_equation(A)) => ! [C] : ( l3_msualg_1(C,A) => ( v9_msafree4(C,A,B) <=> r2_equation(A,C,B) ) ) ) ) )).
fof(d11_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v1_catalg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_msafree1(B,A) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k3_msafree5(A,B,C) <=> r2_tarski(C,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) ) ) ) ) ) ) )).
fof(d11_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k9_msualg_1(A) = g3_msualg_1(k6_msualg_1(A),k7_msualg_1(A),k8_msualg_1(A)) ) )).
fof(d11_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( C = k6_msualg_2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k9_funct_2(u1_struct_0(A),k9_setfam_1(k3_card_3(u3_msualg_1(A,B))))) & m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) & ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,B)) => ( E = D => v3_msualg_2(E,A,B) ) ) ) ) ) ) ) )).
fof(d11_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ( r5_msualg_3(A,B,C) <=> ? [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & r4_msualg_3(A,B,C,D) ) ) ) ) ) )).
fof(d11_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ! [D] : ( ( v3_msualg_6(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( D = k6_msualg_6(A,B,C) <=> ( r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( ( v3_msualg_6(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( r2_pboole(u1_struct_0(A),C,E) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) ) ) ) )).
fof(d11_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => k11_nat_lat(A) = A ) )).
fof(d11_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r3_nattra_1(A,B,C,D) <=> ( r2_nattra_1(A,B,C,D) & ? [E] : ( m2_nattra_1(E,A,B,C,D) & v1_nattra_1(E,A,B,C,D) ) ) ) ) ) ) ) )).
fof(d11_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( r7_ncfcont1(A,B,C,D) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) => r1_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) )).
fof(d11_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( r4_ndiff_7(A,B,C,D,E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k16_lopban_1(B,C))))) ) => ( F = k10_ndiff_7(A,B,C,D,E) <=> ( k1_relset_1(u1_struct_0(k7_prvect_3(A,B)),F) = D & ! [G] : ( m1_subset_1(G,u1_struct_0(k7_prvect_3(A,B))) => ( r2_tarski(G,D) => k7_partfun1(u1_struct_0(k16_lopban_1(B,C)),F,G) = k8_ndiff_7(A,B,C,G,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(A))) => k10_normform(A,B,C) = k8_subset_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A),a_3_0_normform(A,B,C)) ) ) )).
fof(d11_numpoly1,axiom,( k9_numpoly1 = k6_numpoly1(4) )).
fof(d11_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => k15_openlatt(A) = g3_lattices(k9_openlatt(A),k13_openlatt(A),k14_openlatt(A)) ) )).
fof(d11_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(A),u4_struct_0(k2_oppcat_1(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(k2_oppcat_1(B))))) ) => ( D = k11_oppcat_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k3_funct_2(u4_struct_0(A),u4_struct_0(k2_oppcat_1(B)),D,E) = k5_oppcat_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(d11_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r5_orders_1(A,B) <=> ! [C] : ~ ( r1_tarski(C,B) & v3_orders_1(k2_wellord1(A,C)) & ! [D] : ~ ( r2_tarski(D,B) & ! [E] : ( r2_tarski(E,C) => r2_hidden(k4_tarski(D,E),A) ) ) ) ) ) )).
fof(d11_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( B != k1_xboole_0 => ( m1_orders_2(C,A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,B) & C = k3_orders_2(A,B,D) ) ) ) & ( B = k1_xboole_0 => ( m1_orders_2(C,A,B) <=> C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d11_ordinal1,axiom,( ! [A] : ( A = k4_ordinal1 <=> ( r2_tarski(k1_xboole_0,A) & v4_ordinal1(A) & v3_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(k1_xboole_0,B) & v4_ordinal1(B) ) => r1_tarski(A,B) ) ) ) ) )).
fof(d11_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( v6_ordinal5(A) <=> ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k9_xtuple_0(A)) => v5_ordinal5(k1_funct_1(A,B)) ) ) & ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r2_tarski(k5_ordinal5(k1_funct_1(A,C),k4_ordinal1),k5_ordinal5(k1_funct_1(A,B),k4_ordinal1)) ) ) ) ) ) ) )).
fof(d11_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal6(A) ) => k7_ordinal6(A) = k2_ordinal6(a_1_1_ordinal6(A)) ) )).
fof(d11_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k8_osafree(A,B) = g3_msualg_1(A,k5_osafree(A,B),k7_osafree(A,B)) ) ) )).
fof(d11_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r5_osalg_1(A,B,C,D) <=> ( r3_osalg_1(A,B,C,D) & r4_osalg_1(A,B,C,D) ) ) ) ) ) ) )).
fof(d11_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ! [D] : ( m2_osalg_2(D,A,B) => ( D = k9_osalg_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = k1_setfam_1(k8_osalg_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(d11_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v11_osalg_1(D,A) ) => ( D = k7_osalg_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = k6_osalg_4(A,B,C,E) ) ) ) ) ) ) )).
fof(d11_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k9_parsp_1(A) = g1_parsp_1(k5_parsp_1(A),k8_parsp_1(A)) ) )).
fof(d11_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r7_pboole(A,B,C) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r1_pboole(A,D,B) => r1_pboole(A,D,C) ) ) ) ) ) )).
fof(d11_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r3_pdiff_1(A,B,C,D) <=> r1_fdiff_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,D),C),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(B,A),D)) ) ) ) ) ) )).
fof(d11_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r2_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k2_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,E) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,k1_pdiff_3(1,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(1,3,A),B),J),k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(1,3,A),B),E)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,E)),k1_funct_1(I,k6_xcmplx_0(J,E))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( r5_pdiff_9(A,B,C,D) <=> ! [E] : ( ( ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( r1_xxreal_0(k3_finseq_1(E),C) & r1_tarski(k1_rvsum_1(E),k2_finseq_1(A)) ) => r4_pdiff_9(A,D,E,B) ) ) ) ) ) ) )).
fof(d11_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v10_pencil_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_pencil_1(C,A) & v2_pencil_1(C,A) & ! [D] : ( m2_finseq_1(D,k9_setfam_1(u1_struct_0(A))) => ~ ( C = k1_funct_1(D,1) & r2_tarski(B,k1_funct_1(D,k3_finseq_1(D))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,k10_xtuple_0(D)) => ( v1_pencil_1(E,A) & v2_pencil_1(E,A) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(D),E) | r1_ordinal1(2,k1_card_1(k3_xboole_0(k1_funct_1(D,E),k1_funct_1(D,k1_nat_1(E,1))))) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_petri_2(D,u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)))) ) => ( r2_petri_3(A,B,C,D,E) <=> ( k1_funct_1(u2_petri_2(A),k1_domain_1(u4_struct_0(A),k1_zfmisc_1(k9_funct_2(k8_petri(A,k6_domain_1(u4_struct_0(A),C)),u1_petri_2(A))),C,D)) != k1_xboole_0 & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D)) => r1_xxreal_0(1,k6_petri_3(A,k5_petri_3(A,B,F),k1_funct_1(E,F))) ) ) ) ) ) ) ) ) ) )).
fof(d11_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_petri_df(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k7_relset_1(u1_struct_0(A),k4_ordinal1,B,k8_petri(A,k6_domain_1(u4_struct_0(A),C)))) & r1_xxreal_0(D,k5_numbers) ) ) ) ) ) ) )).
fof(d11_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => k11_polyform(A) = k8_polyform(A,2) ) )).
fof(d11_polynom1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v36_algstr_0(C) & l6_algstr_0(C) ) => ( C = k12_polynom1(A,B) <=> ( ! [D] : ( r2_tarski(D,u1_struct_0(C)) <=> ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( D = F & E = G ) => k1_algstr_0(C,D,E) = k5_polynom1(A,B,F,G) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( D = F & E = G ) => k6_algstr_0(C,D,E) = k10_polynom1(A,B,F,G) ) ) ) ) ) & k4_struct_0(C) = k8_polynom1(A,B) & k5_struct_0(C) = k9_polynom1(A,B) ) ) ) ) ) )).
fof(d11_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k8_polynom5(A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),C,D) = k12_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),B,D),k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1))) ) ) ) ) ) )).
fof(d11_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r9_polyred(A,B,C,D,E) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & r8_polyred(A,B,C,D,E,F) ) ) ) ) ) ) ) )).
fof(d11_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => k9_poset_1(A,B) = k6_struct_0(A,B,k3_yellow_0(B)) ) ) )).
fof(d11_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [F] : ! [G] : ! [H] : ( ( r2_hidden(F,C) => k10_poset_2(A,B,C,D,E,F,G,H) = k1_funct_1(D,F) ) & ( ( r2_hidden(F,A) & r2_hidden(G,B) & r2_hidden(H,B) ) => ( r2_hidden(F,C) | k10_poset_2(A,B,C,D,E,F,G,H) = k1_funct_1(E,k3_xtuple_0(F,G,H)) ) ) & ~ ( ~ r2_hidden(F,C) & ~ ( ~ r2_hidden(F,C) & r2_hidden(F,A) & r2_hidden(G,B) & r2_hidden(H,B) ) & k10_poset_2(A,B,C,D,E,F,G,H) != B ) ) ) ) ) ) ) )).
fof(d11_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_funcop_1(D) ) => ( ( A != k1_xboole_0 => ( D = k11_pralg_2(A,B,C) <=> ! [E] : ~ ( r2_tarski(E,A) & ! [F] : ( l3_msualg_1(F,B) => ~ ( F = k1_funct_1(C,E) & k1_funct_1(D,E) = u4_msualg_1(B,F) ) ) ) ) ) & ( A = k1_xboole_0 => ( D = k11_pralg_2(A,B,C) <=> D = k1_xboole_0 ) ) ) ) ) ) )).
fof(d11_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r3_pre_poly(A,B,C) <=> ! [D] : r1_xxreal_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) )).
fof(d11_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v9_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v4_pre_topc(C,A) & r2_tarski(B,k3_subset_1(u1_struct_0(A),C)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v3_pre_topc(E,A) & r2_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) ) )).
fof(d11_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( ( v3_prefer_1(C) & l3_prefer_1(C) ) => ( C = k8_prefer_1(A,B) <=> ( u1_struct_0(C) = A & u1_prefer_1(C) = k2_eqrel_1(A,B,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B))) & u1_pcs_0(C) = k2_eqrel_1(A,B,k3_relset_1(A,A,B)) & u1_orders_2(C) = k7_prefer_1(A,B) ) ) ) ) )).
fof(d11_prob_1,axiom,( k11_prob_1 = a_0_0_prob_1 )).
fof(d11_prob_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( ( v2_prob_3(C,A) & v3_prob_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( C = k10_prob_3(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( ( r1_tarski(B,D) & v2_prob_3(D,A) & v3_prob_3(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => r1_tarski(C,D) ) ) ) ) ) ) )).
fof(d11_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => ! [B] : ( m1_prvect_1(B,k14_prvect_1(A)) => ( B = k16_prvect_1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(k14_prvect_1(A)) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(k14_prvect_1(A))) => r1_funct_2(k2_zfmisc_1(k1_funct_1(k14_prvect_1(A),C),k1_funct_1(k14_prvect_1(A),C)),k1_funct_1(k14_prvect_1(A),C),k2_zfmisc_1(u1_struct_0(k15_prvect_1(A,C)),u1_struct_0(k15_prvect_1(A,C))),u1_struct_0(k15_prvect_1(A,C)),k9_prvect_1(k14_prvect_1(A),B,C),u1_algstr_0(k15_prvect_1(A,C))) ) ) ) ) ) )).
fof(d11_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k4_prvect_2(A))) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(k3_finseq_1(A))) => ( C = k12_prvect_2(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(A)) => k1_funct_1(C,D) = k1_funct_1(u1_normsp_0(k11_prvect_2(A,D)),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d11_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k10_pscomp_1(A) = k19_euclid(k6_pscomp_1(A),k9_pscomp_1(A)) ) )).
fof(d11_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m2_pua2mss1(B,u1_struct_0(A)) => ( m4_pua2mss1(B,A) <=> m3_pua2mss1(k3_pua2mss1(u1_struct_0(A),B),A) ) ) ) )).
fof(d11_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( B = k9_qc_lang1(A) <=> ( v1_qc_lang1(B,A) & ! [C] : ( ~ v1_xboole_0(C) => ( v1_qc_lang1(C,A) => r1_tarski(B,C) ) ) ) ) ) ) )).
fof(d11_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_qc_lang2(B,A) <=> ? [C] : ( m1_subset_1(C,k9_qc_lang1(A)) & ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k2_qc_lang2(A,C,D) ) ) ) ) ) )).
fof(d11_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k5_qmax_1(A)) => ! [C] : ( m1_subset_1(C,k5_qmax_1(A)) => ( r4_qmax_1(A,B,C) <=> ( r3_qmax_1(A,B,C) & r3_qmax_1(A,C,B) ) ) ) ) ) )).
fof(d11_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k17_quatern2(A,B) = k22_quaterni(A,k26_quaterni(B)) ) ) )).
fof(d11_quaterni,axiom,( k11_quaterni = k5_quaterni(k5_numbers,k5_numbers,k5_numbers,1) )).
fof(d11_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( B != k11_quofield(A) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( C = k14_quofield(A,B) <=> ! [D] : ( m2_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ( r2_tarski(D,C) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) & r2_tarski(E,B) & k8_group_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),D),k2_domain_1(u1_struct_0(A),u1_struct_0(A),E)) = k8_group_1(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),D),k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) ) ) ) ) ) ) ) ) )).
fof(d11_radix_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v7_ordinal1(B) => k12_radix_1(A,B) = k6_xcmplx_0(A,k3_xcmplx_0(k11_radix_1(A),k1_radix_1(B))) ) ) )).
fof(d11_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(C)) ) => ( D = k10_radix_6(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k2_finseq_1(A)) => k4_radix_1(E,C,A,D) = k9_radix_6(E,B,C) ) ) ) ) ) ) ) )).
fof(d11_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => k6_random_3(A,B,C) = C ) ) ) )).
fof(d11_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ( v6_ratfunc1(B,A) <=> ( v5_ratfunc1(B,A) & v3_ratfunc1(k5_ratfunc1(A,B),A) ) ) ) ) )).
fof(d11_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( v1_relat_1(C) => ( C = k5_relat_1(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,B) & r2_hidden(k4_tarski(D,E),A) ) ) ) ) ) )).
fof(d11_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_relat_2(A) <=> r3_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d11_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r9_rewrite1(A,B) <=> ? [C] : r4_rewrite1(A,B,C) ) ) )).
fof(d11_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( C = k19_rfunct_3(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,B) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k1_funct_1(C,D) = k2_rfunct_3(k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(d11_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) ) => ( r1_ring_2(A,B,C) <=> ( B = k3_group_4(A,C) & ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(C)) => v5_ring_2(k1_ring_2(u1_struct_0(A),C,D),A) ) ) ) ) ) ) )).
fof(d11_rlvect_1,axiom,( ! [A] : ( l2_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_algstr_0(A,B,C) = k1_algstr_0(A,B,k4_algstr_0(A,C)) ) ) ) )).
fof(d11_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_rlvect_2(C,A) => ! [D] : ( m1_rlvect_2(D,A) => ( D = k8_rlvect_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_xcmplx_0(B,k3_funct_2(u1_struct_0(A),k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d11_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => k8_rmod_4(A,B,C) = k7_rmod_4(A,B,k4_algstr_0(A,k1_group_1(A)),C) ) ) ) )).
fof(d11_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( ( v4_robbins1(B) & l4_robbins1(B) ) => ( B = k8_robbins1(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & u2_lattices(B) = u2_lattices(A) & u1_robbins1(B) = u1_robbins1(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_binop_1(u1_lattices(B),C,D) = k4_robbins1(A,C,D) ) ) ) ) ) ) )).
fof(d11_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_roughs_1(A,B,C) <=> r1_tarski(k3_roughs_1(A,B),k3_roughs_1(A,C)) ) ) ) ) )).
fof(d11_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) => ( B = k4_roughs_2(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),B,C) = k4_roughs_1(A,C) ) ) ) ) )).
fof(d11_rsspace,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k4_rsspace))) => ( A = k8_rsspace <=> ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,k1_rsspace) & v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(B),k2_rsspace(B))) ) ) ) ) )).
fof(d11_rvsum_1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k17_rvsum_1(A) = k1_finsop_1(k2_numbers,A,k3_binop_2) ) )).
fof(d11_scm_comp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3)))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3)))))) ) => ( A = k14_scm_comp <=> ( ! [B] : ( m2_subset_1(B,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))))) & C = k3_funct_2(k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))),A,k3_scm_comp(B)) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k5_afinsq_1(k2_ami_3(k10_ami_3(D),k4_scm_comp(B))) ) ) ) & ! [B] : ( m2_subset_1(B,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_scm_comp)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_scm_comp)) => ~ ( E = k1_bintree1(u1_struct_0(k1_scm_comp),C) & F = k1_bintree1(u1_struct_0(k1_scm_comp),D) & r1_lang1(k1_scm_comp,B,k4_pre_poly(u1_struct_0(k1_scm_comp),E,F)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))))) ) => ~ ( G = k3_funct_2(k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))),A,k2_scm_comp(B,C,D)) & H = k3_funct_2(k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))),A,C) & I = k3_funct_2(k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))),A,D) & ! [J] : ( v7_ordinal1(J) => k1_funct_1(G,J) = k1_ordinal4(k15_afinsq_1(u1_compos_1(k1_ami_3),k3_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3)),H,k10_subset_1(J,k4_ordinal1)),k3_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3)),I,k10_subset_1(k1_nat_1(J,1),k4_ordinal1))),k13_scm_comp(B,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( C = k9_scmfsa_2(A,B) <=> ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_ami_3)) & ? [E] : ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) & A = D & B = E & C = k5_ami_3(D,E) ) ) ) ) ) ) )).
fof(d11_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k10_scmpds_2(A,B,C) = k3_xtuple_0(7,k1_xboole_0,k11_finseq_1(A,B,C)) ) ) ) )).
fof(d11_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k9_scmpds_6(A,B,C) = k2_scmpds_4(k9_scmpds_2(A,B,k1_nat_1(k4_card_1(C),1)),C) ) ) ) )).
fof(d11_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & ? [F] : ( m2_subset_1(F,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(F,k1_xboole_0,k7_finseq_4(B,C,D,E)) ) ) ) ) ) => ! [B] : ( v1_int_1(B) => ( B = k12_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,3) ) ) ) ) ) )).
fof(d11_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => k6_scmyciel(A) = k6_subset_1(k5_scmyciel(k3_tarski(A)),k1_scmyciel(A)) ) )).
fof(d11_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => k12_seq_4(A) = k4_finseq_2(A,k2_numbers) ) )).
fof(d11_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( r2_seqfunc(A,B,C) <=> ( r1_seqfunc(A,k1_numbers,B,C) & ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & C = k1_relset_1(A,D) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,C) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ? [H] : ( v7_ordinal1(H) & r1_xxreal_0(G,H) & r1_xxreal_0(F,k9_complex1(k6_xcmplx_0(k1_funct_1(k1_seqfunc(A,k1_numbers,B,H),E),k1_funct_1(D,E)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_setfam_1,axiom,( ! [A] : ! [B] : ( m1_setfam_1(B,A) <=> r1_tarski(A,k3_tarski(B)) ) )).
fof(d11_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ! [C] : ( r4_sgraph1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & r2_tarski(C,k5_sgraph1(A,B,D,D)) ) ) ) )).
fof(d11_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,C) = k4_binop_1(u1_struct_0(A),u1_sheffer1(A),B,C) ) ) ) )).
fof(d11_simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k5_simplex0(A,B) = g1_pre_topc(A,k2_simplex0(A,B)) ) )).
fof(d11_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( D = k10_sin_cos(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,A) => k8_nat_1(k2_numbers,D,E) = k3_xcmplx_0(k8_nat_1(k2_numbers,k3_sin_cos(B),E),k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(C)),k7_nat_d(A,E))) ) & ( ~ r1_xxreal_0(E,A) => k8_nat_1(k2_numbers,D,E) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d11_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => ( v5_stacks_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = k5_stacks_1(A,k7_stacks_1(A,B,C)) ) ) ) ) )).
fof(d11_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v8_struct_0(A) <=> v1_finset_1(u1_struct_0(A)) ) ) )).
fof(d11_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_substut1(A)) ) => k12_substut1(A,B,C) = k6_subset_1(k4_ordinal1,k4_subset_1(k1_qc_lang1(A),k10_substut1(A,B),k11_substut1(A,C))) ) ) ) )).
fof(d11_supinf_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v6_supinf_2(A) <=> v5_supinf_2(k10_xtuple_0(A)) ) ) )).
fof(d11_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)))) ) => ( B = k11_tdlat_1(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => k4_binop_1(k9_tdlat_1(A),B,C,D) = k9_subset_1(u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(d11_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_tex_4(A,B) = k3_tarski(a_2_5_tex_4(A,B)) ) ) )).
fof(d11_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))))) ) => ( C = k9_tmap_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = u1_struct_0(B) => r1_funct_2(u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B)),u1_struct_0(A),u1_struct_0(k6_tmap_1(A,D)),C,k7_tmap_1(A,D)) ) ) ) ) ) ) )).
fof(d11_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v7_topalg_6(B,A) & m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [C] : ( ( v7_topalg_6(C,A) & m2_subset_1(C,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ( r1_topalg_6(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_borsuk_2(F,A,D,E) & ? [G] : ( m1_borsuk_2(G,A,D,E) & F = k3_relat_1(k1_borsuk_6(k5_numbers,1,k2_xxreal_2(k9_xtuple_0(B)),k1_xxreal_2(k9_xtuple_0(B))),B) & G = k3_relat_1(k1_borsuk_6(k5_numbers,1,k2_xxreal_2(k9_xtuple_0(C)),k1_xxreal_2(k9_xtuple_0(C))),C) & r3_borsuk_2(A,D,E,F,G) ) ) ) ) ) ) ) ) )).
fof(d11_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_prob_1(B,u1_struct_0(A)) & v1_topgen_4(B,A) & v3_topgen_4(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( B = k5_topgen_4(A) <=> ! [C] : ( ( v1_prob_1(C,u1_struct_0(A)) & v1_topgen_4(C,A) & v3_topgen_4(C,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => r1_tarski(B,C) ) ) ) ) )).
fof(d11_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = k5_topreal1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,B) <=> ( r1_xxreal_0(k17_euclid(A),k17_euclid(C)) & k18_euclid(C) = k18_euclid(A) ) ) ) ) ) ) )).
fof(d11_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2))))) ) => ( A = k12_toprealb <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k19_euclid(k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),k17_sin_cos(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) ) ) ) )).
fof(d11_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v7_transgeo(B,A) <=> ( v6_transgeo(B,A) & ( r2_funct_2(u1_struct_0(A),u1_struct_0(A),B,k6_partfun1(u1_struct_0(A))) | ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => C != k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) ) ) ) ) ) ) )).
fof(d11_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( v2_trees_1(B) => ( m4_trees_1(B,A) <=> r1_tarski(B,A) ) ) ) )).
fof(d11_trees_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(B,k9_xtuple_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) => ( D = k7_trees_2(A,B,C) <=> ( k9_xtuple_0(D) = k5_trees_1(k9_xtuple_0(A),B,k9_xtuple_0(C)) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k5_trees_1(k9_xtuple_0(A),B,k9_xtuple_0(C))) & ~ ( ~ r1_tarski(B,E) & k1_funct_1(D,E) = k1_funct_1(A,E) ) & ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k9_xtuple_0(C)) & r2_relset_1(k4_ordinal1,k4_ordinal1,E,k8_finseq_1(k4_ordinal1,B,F)) & k1_funct_1(D,E) = k1_funct_1(C,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v6_trees_3(A) <=> v3_trees_3(k10_xtuple_0(A)) ) ) )).
fof(d11_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => k9_trees_9(A) = a_1_2_trees_9(A) ) )).
fof(d11_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( C = k1_tsp_2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)) ) ) ) ) ) )).
fof(d11_turing_1,axiom,( k12_turing_1 = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k11_turing_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(5),k7_domain_1(k4_ordinal1,k5_numbers,1)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k5_numbers),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,1),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,1,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,1,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,2,1),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,1,1))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers),k3_xtuple_0(3,k5_numbers,k4_xcmplx_0(1)))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,3,1),k3_xtuple_0(4,k5_numbers,k4_xcmplx_0(1)))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,4,1),k3_xtuple_0(4,1,k4_xcmplx_0(1)))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,4,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,5,k5_numbers,k5_numbers))) )).
fof(d11_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k12_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k9_margrel1(k9_margrel1(k8_margrel1(B),k8_margrel1(C)),D) ) ) ) ) ) )).
fof(d11_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v2_unialg_2(A) <=> ? [B] : ( m5_margrel1(B,u1_struct_0(A),k1_unialg_2(A)) & k18_margrel1(B) = k5_numbers ) ) ) )).
fof(d11_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k9_uproots(A,B) <=> ? [D] : ( m2_finseq_1(D,k3_finseq_2(u1_struct_0(k13_polynom3(A)))) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & k3_finseq_1(D) = k4_card_1(k22_pre_poly(u1_struct_0(A),B)) & E = k19_finseq_1(k22_pre_poly(u1_struct_0(A),B)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(D)) => k1_funct_1(D,F) = k8_uproots(A,k7_partfun1(u1_struct_0(A),E,F),k1_recdef_1(B,k7_partfun1(u1_struct_0(A),E,F))) ) ) & C = k3_group_4(k13_polynom3(A),k5_pre_poly(u1_struct_0(k13_polynom3(A)),D)) ) ) ) ) ) ) )).
fof(d11_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( B = k54_valued_1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k9_complex1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d11_valued_2,axiom,( ! [A] : ! [B] : ( B = k5_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) ) )).
fof(d11_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( D = k9_vectsp10(A,B,C) <=> u1_struct_0(D) = k8_vectsp10(B,A,C) ) ) ) ) ) )).
fof(d11_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_vectsp_1(A,B,C,D) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_vectsp_1(A,B),C,D) ) ) ) ) )).
fof(d11_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_vectsp_6(D,A,B) => k8_vectsp_6(A,B,C,D) = k5_vectsp_6(A,B,C,k7_vectsp_6(A,B,D)) ) ) ) ) )).
fof(d11_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))))) ) => ( G = k11_vsdiff_1(A,B,C,D,E,F) <=> ( r2_relset_1(u1_struct_0(C),u1_struct_0(E),k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,k5_numbers),F) & ! [H] : ( v7_ordinal1(H) => r2_relset_1(u1_struct_0(C),u1_struct_0(E),k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,k1_nat_1(H,1)),k7_vsdiff_1(A,B,C,D,E,k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,H))) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v6_waybel_0(C,A) & l1_waybel_0(C,A) ) => ( C = k4_waybel11(A,B) <=> ( u1_struct_0(C) = k6_domain_1(u1_struct_0(A),B) & u1_orders_2(C) = k6_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,B)) & r1_funct_2(u1_struct_0(C),u1_struct_0(A),k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),B),u1_waybel_0(A,C),k6_partfun1(k6_domain_1(u1_struct_0(A),B))) ) ) ) ) ) )).
fof(d11_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) => ( C = k4_waybel23(A,B) <=> ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & D = E & k1_funct_1(C,D) = k3_waybel_0(A,E) ) ) ) ) ) ) )).
fof(d11_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v3_altcat_2(B,k5_waybel34(A)) & m1_altcat_2(B,k5_waybel34(A)) ) => ( B = k9_waybel34(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(k5_waybel34(A))) => m1_subset_1(C,u1_struct_0(B)) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k5_waybel34(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_waybel34(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( E = C & F = D ) => ( k1_altcat_1(k5_waybel34(A),C,D) = k1_xboole_0 | ! [G] : ( m1_subset_1(G,k1_altcat_1(k5_waybel34(A),C,D)) => ( r2_tarski(G,k1_altcat_1(B,E,F)) <=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,G)),k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d11_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( r1_waybel_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,D,E) => r2_tarski(k2_waybel_0(A,B,E),C) ) ) ) ) ) ) )).
fof(d11_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v4_waybel_1(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) )).
fof(d11_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => k6_waybel_4(A,B,C) = a_3_1_waybel_4(A,B,C) ) ) ) )).
fof(d11_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k10_xboolean(A,B) = k3_xboolean(k7_xboolean(A,B)) ) ) )).
fof(d11_xtuple_0,axiom,( ! [A] : k8_xtuple_0(A) = k2_xtuple_0(k1_xtuple_0(k1_xtuple_0(A))) )).
fof(d11_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ! [D] : ( ( ~ r1_xxreal_0(A,B) => k5_xxreal_0(A,B,C,D) = C ) & ( r1_xxreal_0(A,B) => k5_xxreal_0(A,B,C,D) = D ) ) ) ) )).
fof(d11_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ( v5_xxreal_2(A) <=> ( v3_xxreal_2(A) & v4_xxreal_2(A) ) ) ) )).
fof(d11_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v2_altcat_2(B,k6_yellow21(A)) & v3_altcat_2(B,k6_yellow21(A)) & m1_altcat_2(B,k6_yellow21(A)) ) => ( B = k7_yellow21(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k6_yellow21(A))) => ( m1_subset_1(C,u1_struct_0(B)) <=> v3_waybel_3(k4_yellow21(k6_yellow21(A),C)) ) ) ) ) ) )).
fof(d11_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => k3_yellow_0(A) = k1_yellow_0(A,k1_xboole_0) ) )).
fof(d11_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( B = k5_yellow_6(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( ~ v2_struct_0(D) & v4_orders_2(D) & v6_waybel_0(D,A) & v7_waybel_0(D) & l1_waybel_0(D,A) & D = C & r2_tarski(u1_struct_0(D),k1_yellow_6(u1_struct_0(A))) ) ) ) ) )).
fof(d11_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => k11_zf_model(A) = k10_zf_lang(k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(A,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers)))))),k7_zf_lang(k2_zf_lang(1),k12_zf_lang(k2_zf_lang(2),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(k4_zf_lang(k2_zf_lang(4),k2_zf_lang(2)),k12_zf_lang(k2_zf_lang(3),k6_zf_lang(k4_zf_lang(k2_zf_lang(3),k2_zf_lang(1)),A))))))) ) )).
fof(d11_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k4_zmodul01(A) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) )).
fof(d11_zmodul02,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))))) ) => ( C = k11_zmodul02(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(A))) => ! [E] : ( v1_int_1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))) => ( D = k5_int_1(E,A) => k2_binop_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A))),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A))),C,D,F) = k1_zmodul01(k10_zmodul02(B,k5_zmodul02(B,A)),F,k5_int_1(E,A)) ) ) ) ) ) ) ) ) )).
fof(d12_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k3_abcmiz_0(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D = E & r2_tarski(B,k2_abcmiz_0(A,E)) ) ) ) ) ) ) )).
fof(d12_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ( v3_abcmiz_1(A) <=> ? [B] : ( m1_subset_1(B,u4_struct_0(A)) & ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & k2_msualg_1(A,B) = k6_abcmiz_1 & k1_msualg_1(A,B) = k1_xboole_0 & k2_msualg_1(A,C) = k7_abcmiz_1 & k1_msualg_1(A,C) = k1_xboole_0 ) ) ) ) )).
fof(d12_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r9_absred_0(A,B,C) <=> ( v2_absred_0(B,A) & r3_absred_0(A,C,B) ) ) ) ) ) )).
fof(d12_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v12_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r5_aff_1(A,B,C) & r2_hidden(E,B) & r2_hidden(H,B) & r2_hidden(F,C) & r2_hidden(I,C) & r2_hidden(G,D) & r2_hidden(J,D) & v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_analoaf(A,E,F,H,I) & r2_analoaf(A,E,G,H,J) & r2_analoaf(A,F,G,I,J) ) => ( B = C | B = D | r1_aff_1(A,E,F,G) | G = J | r5_aff_1(A,B,D) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_afinsq_1(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => ( r1_xxreal_0(C,B) | r2_tarski(B,k9_xtuple_0(A)) ) ) ) ) ) ) )).
fof(d12_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k7_afproj(A),k8_afproj(A)))) => ( B = k12_afproj(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & C = k5_afproj(A,E) & D = k6_afproj(A,F) & v1_aff_1(E,A) & v1_aff_4(F,A) & r1_aff_4(A,E,F) ) ) ) ) ) ) )).
fof(d12_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) => ! [D] : ( m1_alg_1(D,A) => ( D = k6_alg_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_hidden(k4_tarski(E,F),D) <=> k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F) ) ) ) ) ) ) ) ) ) )).
fof(d12_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v15_algstr_0(C) & m1_algstr_4(C,A) ) => ( C = k9_algstr_4(A,B) <=> ( r1_tarski(B,u1_struct_0(C)) & ! [D] : ( ( v15_algstr_0(D) & m1_algstr_4(D,A) ) => ( r1_tarski(B,u1_struct_0(D)) => m1_algstr_4(C,D) ) ) ) ) ) ) ) )).
fof(d12_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ( v9_altcat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,B,D) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) & ? [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & E = G & F = H & k5_altcat_1(A,B,C,D,E,F) != k3_relat_1(G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v6_altcat_1(C) & m1_altcat_2(C,A) ) => ( C = k6_altcat_2(A,B) <=> ( u1_struct_0(C) = k6_domain_1(u1_struct_0(A),B) & u1_altcat_1(C) = k18_funcop_1(B,B,k1_altcat_1(A,B,B)) & u2_altcat_1(C) = k17_funcop_1(k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,B,B),k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,B,B)) ) ) ) ) ) )).
fof(d12_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( v9_altcat_3(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( v8_altcat_3(E,A) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,B,E)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,E,C)) => D = k5_altcat_1(A,B,E,C,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d12_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_analmetr(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C != D & B = k3_analmetr(A,C,D) ) ) ) ) ) )).
fof(d12_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( v5_anproj_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,C,D,K) & r1_collsp(A,F,G,K) & r1_collsp(A,D,E,I) & r1_collsp(A,G,H,I) & r1_collsp(A,C,E,J) & r1_collsp(A,F,H,J) & r1_collsp(A,B,C,F) & r1_collsp(A,B,D,G) & r1_collsp(A,B,E,H) ) => ( B = F | C = F | B = G | D = G | B = H | E = H | r1_collsp(A,B,C,D) | r1_collsp(A,B,C,E) | r1_collsp(A,B,D,E) | r1_collsp(A,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_unialg_1(A) ) => ( v5_aofa_000(A) <=> ( r2_tarski(3,k4_finseq_1(u1_unialg_1(A))) & ~ v1_xboole_0(k1_funct_1(u1_unialg_1(A),3)) & v1_funct_1(k1_funct_1(u1_unialg_1(A),3)) & v2_margrel1(k1_funct_1(u1_unialg_1(A),3)) & v3_margrel1(k1_funct_1(u1_unialg_1(A),3),u1_struct_0(A)) & v8_comput_1(k1_funct_1(u1_unialg_1(A),3),3) & m1_subset_1(k1_funct_1(u1_unialg_1(A),3),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) ) ) )).
fof(d12_aofa_a00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m3_aofa_a00(C,A,B) <=> ! [D] : ( r2_tarski(D,A) => m1_subset_1(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(d12_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) ) => ! [F] : ( ( v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,D),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) ) => ! [G] : ( ( v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) ) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) => k9_aofa_a01(A,B,C,D,E,F,G,H) = k5_aofa_a01(A,B,C,D,E,F,G,k34_aofa_a00(A,C,G,H,k7_aofa_a01(A,B,C,G)),k26_aofa_a00(A,C,G)) ) ) ) ) ) ) ) ) )).
fof(d12_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l4_aofa_l00(C,A,B) => ( m3_pboole(B,u1_struct_0(A),u3_msualg_1(A,C)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) => ! [F] : ( m1_subset_1(F,k3_card_3(B)) => ! [G] : ( m1_subset_1(G,k3_card_3(B)) => ( ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(F,k1_msafree4(u1_struct_0(A),B,H)) & r2_tarski(G,k1_msafree4(u1_struct_0(A),B,H)) ) => k6_aofa_l00(A,B,C,D,E,F,G) = k1_funct_1(u5_aofa_l00(A,B,C),k4_tarski(E,k4_tarski(F,G))) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v4_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( ( r2_tarski(k6_armstrng(A,C,D),B) & r3_armstrng(A,k6_armstrng(A,C,D),k6_armstrng(A,E,F)) ) => r2_tarski(k6_armstrng(A,E,F),B) ) ) ) ) ) ) ) )).
fof(d12_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => k10_arytm_3(A,B) = k8_arytm_3(k9_ordinal3(k6_arytm_3(A),k6_arytm_3(B)),k9_ordinal3(k7_arytm_3(A),k7_arytm_3(B))) ) ) )).
fof(d12_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : k9_asympt_0(A,B) = a_2_0_asympt_0(A,B) ) )).
fof(d12_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => k4_bcialg_1(A) = a_1_0_bcialg_1(A) ) )).
fof(d12_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( m4_bcialg_2(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_tarski(k1_bcialg_1(A,D,E),B) & r2_tarski(k1_bcialg_1(A,E,D),B) ) ) ) ) ) ) ) ) )).
fof(d12_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( v11_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,C,B)) = B ) ) ) ) )).
fof(d12_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bcialg_4(A) ) => ( v5_bcialg_4(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_bcialg_4(A,B,B) = B ) ) ) )).
fof(d12_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_1(B,A) => ! [C] : ( ( v12_bcialg_1(C,A) & m2_bcialg_1(C,A) ) => ! [D] : ( m5_bcialg_2(D,A,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k6_bcialg_6(A,B,C,D),k6_bcialg_6(A,B,C,D)),k6_bcialg_6(A,B,C,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_bcialg_6(A,B,C,D),k6_bcialg_6(A,B,C,D)),k6_bcialg_6(A,B,C,D)))) ) => ( E = k7_bcialg_6(A,B,C,D) <=> ! [F] : ( m2_subset_1(F,u1_struct_0(A),k6_bcialg_6(A,B,C,D)) => ! [G] : ( m2_subset_1(G,u1_struct_0(A),k6_bcialg_6(A,B,C,D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( F = H & G = I ) => k4_binop_1(k6_bcialg_6(A,B,C,D),E,F,G) = k1_bcialg_1(A,H,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r7_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k1_funct_1(B,k1_binop_1(C,D,E)) = k1_binop_1(C,k1_funct_1(B,D),k1_funct_1(B,E)) ) ) ) ) ) )).
fof(d12_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_borsuk_1(B,A) => ( v2_borsuk_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v2_compts_1(C,A) ) ) ) ) ) )).
fof(d12_borsuk_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r2_borsuk_7(A,B,C,D,E,F) <=> ( r1_borsuk_7(A,B,C,D,E) & r2_tarski(C,k9_xtuple_0(F)) & r2_tarski(D,k9_xtuple_0(F)) & k1_funct_1(F,C) = k1_funct_1(F,D) ) ) ) ) ) ) ) ) )).
fof(d12_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ( k3_funct_2(A,k5_margrel1,B,D) = k7_margrel1 => k3_funct_2(A,k5_margrel1,C,D) = k7_margrel1 ) ) ) ) ) ) )).
fof(d12_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r7_calcul_1(A,B,C) <=> ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_valuat_1(E,A,D) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),D,k2_valuat_1(A,D)) => ( r6_calcul_1(A,B,D,E,F) => r1_valuat_1(A,D,C,E,F) ) ) ) ) ) ) ) ) )).
fof(d12_card_3,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k10_card_3(A) <=> ( k9_xtuple_0(B) = k9_card_3(A) & ! [C] : ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k5_card_3(C,A) ) ) ) ) ) )).
fof(d12_card_fil,axiom,( r3_card_fil <=> ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => k2_card_1(A) = k3_card_2(2,A) ) )).
fof(d12_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_cat_1(C,A,B,B) => ( C = k4_cat_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( k2_cat_1(A,B,D) != k1_xboole_0 => ! [E] : ( m1_cat_1(E,A,B,D) => k1_cat_1(A,C,E) = E ) ) & ( k2_cat_1(A,D,B) != k1_xboole_0 => ! [E] : ( m1_cat_1(E,A,D,B) => k1_cat_1(A,E,C) = E ) ) ) ) ) ) ) ) )).
fof(d12_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k11_cat_4(A,B) = k9_cat_4(A,k1_cat_4(A),B,B,k6_cat_4(A,B),k4_cat_1(A,B)) ) ) )).
fof(d12_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_cat_1(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v1_cat_5(C) & l1_cat_1(C) ) => ( C = k12_cat_5(A,B) <=> ( u1_struct_0(C) = k10_cat_5(A,B) & ! [D] : ( m2_subset_1(D,u4_struct_0(A),k10_cat_5(A,B)) => ! [E] : ( m2_subset_1(E,u4_struct_0(A),k10_cat_5(A,B)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( ( k3_graph_1(A,F) = k4_graph_1(A,D) & k1_cat_1(A,D,F) = E ) => m1_subset_1(k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,D,E),F),u4_struct_0(C)) ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ? [E] : ( m2_subset_1(E,u4_struct_0(A),k10_cat_5(A,B)) & ? [F] : ( m2_subset_1(F,u4_struct_0(A),k10_cat_5(A,B)) & ? [G] : ( m1_subset_1(G,u4_struct_0(A)) & D = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,E,F),G) & k3_graph_1(A,G) = k4_graph_1(A,E) & k1_cat_1(A,E,G) = F ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ! [F] : ( m2_subset_1(F,u4_struct_0(A),k10_cat_5(A,B)) => ! [G] : ( m2_subset_1(G,u4_struct_0(A),k10_cat_5(A,B)) => ! [H] : ( m2_subset_1(H,u4_struct_0(A),k10_cat_5(A,B)) => ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ! [J] : ( m1_subset_1(J,u4_struct_0(A)) => ( ( D = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,F,G),I) & E = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,G,H),J) ) => k1_cat_1(C,D,E) = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,F,H),k1_cat_1(A,I,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v10_cat_6(A) <=> ( v4_cat_6(A) & v5_cat_6(A) ) ) ) )).
fof(d12_cat_7,axiom,( ! [A] : ( l1_cat_6(A) => ( v6_cat_7(A) <=> ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ! [E] : ( m1_subset_1(E,k1_cat_6(A)) => ( ( r2_tarski(D,k1_cat_7(A,B,C)) & r2_tarski(E,k1_cat_7(A,B,C)) ) => D = E ) ) ) ) ) ) ) )).
fof(d12_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(k3_catalg_1(u1_struct_0(A))),u4_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k3_catalg_1(u1_struct_0(A))),u4_struct_0(k3_catalg_1(u1_struct_0(B)))))) ) => ( D = k12_catalg_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(k3_catalg_1(u1_struct_0(A)))) => k3_funct_2(u4_struct_0(k3_catalg_1(u1_struct_0(A))),u4_struct_0(k3_catalg_1(u1_struct_0(B))),D,E) = k4_tarski(k1_xfamily(E),k3_relat_1(k2_xfamily(E),k7_cat_1(A,B,C))) ) ) ) ) ) ) )).
fof(d12_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( r2_cfdiff_1(A,B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( C = k3_cfdiff_1(A,B) <=> ( k1_relset_1(k2_numbers,C) = B & ! [D] : ( v1_xcmplx_0(D) => ( r2_hidden(D,B) => k7_partfun1(k2_numbers,C,D) = k2_cfdiff_1(A,D) ) ) ) ) ) ) ) )).
fof(d12_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( B = k10_cgames_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finseq_1(D) & v3_cgames_1(D) & v4_cgames_1(D) & k1_funct_1(D,1) = C & k1_funct_1(D,k3_finseq_1(D)) = A ) ) ) ) )).
fof(d12_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_chain_1(A,B,k1_nat_1(C,1)))) => k10_chain_1(A,B,C,D) = a_4_1_chain_1(A,B,C,D) ) ) ) ) )).
fof(d12_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m2_finseq_1(B,k6_glib_000(A)) => ( m3_chord(B,A) <=> ( v2_funct_1(B) & k10_xtuple_0(B) = k6_glib_000(A) ) ) ) ) )).
fof(d12_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v4_msualg_1(E,A) & l3_msualg_1(E,A) ) => ! [F] : ( ( v4_msualg_1(F,B) & l3_msualg_1(F,B) ) => ( r4_circtrm1(A,B,C,D,E,F) <=> ( v2_funct_1(C) & v2_funct_1(D) & r3_pua2mss1(A,B,C,D) & u3_msualg_1(A,E) = k3_relat_1(C,u3_msualg_1(B,F)) & u4_msualg_1(A,E) = k3_relat_1(D,u4_msualg_1(B,F)) ) ) ) ) ) ) ) ) )).
fof(d12_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => k14_clopban1(A,B) = g2_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k13_clopban1(A,B)) ) ) )).
fof(d12_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,B,B) => ! [D] : ( m3_pboole(D,A,B) => ( D = k5_closure1(A,B,C) <=> ! [E] : ! [F] : ( r2_hidden(F,A) => ( r2_tarski(E,k1_funct_1(D,F)) <=> ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & G = k1_funct_1(C,F) & r2_tarski(E,k9_xtuple_0(G)) & k1_funct_1(G,E) = E ) ) ) ) ) ) ) )).
fof(d12_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) ) => ( v9_closure2(C,A,B) <=> ! [D] : ( m1_closure2(D,A,B,k6_closure2(A,B)) => r6_pboole(A,k7_closure2(A,B,C,D),k7_closure2(A,B,C,k7_closure2(A,B,C,D))) ) ) ) ) )).
fof(d12_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_clvect_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m2_clvect_1(C,A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k5_clvect_1(A,D,B) ) ) ) ) ) )).
fof(d12_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k5_coh_sp(A),k3_coh_sp(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A),k3_coh_sp(A)))) ) => ( B = k11_coh_sp(A) <=> ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => k3_funct_2(k5_coh_sp(A),k3_coh_sp(A),B,C) = k7_coh_sp(A,C) ) ) ) )).
fof(d12_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v7_cohsp_1(A) <=> ! [B] : ! [C] : ( r2_cohsp_1(k9_xtuple_0(A),B,C) => k1_funct_1(A,k3_xboole_0(B,C)) = k3_xboole_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) )).
fof(d12_combgras,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => k6_combgras(A,B) = a_2_2_combgras(A,B) ) )).
fof(d12_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k9_complex1(A) = k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A)))) ) )).
fof(d12_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) & v5_compos_0(A) ) => ! [B] : ( m1_subset_1(B,A) => ( v6_compos_0(B,A) <=> B != k9_compos_0(A) ) ) ) )).
fof(d12_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) ) => ! [C] : ( r1_compos_1(A,B,C) <=> ( r2_tarski(C,k9_xtuple_0(B)) & k1_funct_1(B,C) = k2_compos_1(A) ) ) ) ) )).
fof(d12_comput_1,axiom,( ! [A] : ( v4_comput_1(A) <=> ! [B] : ( m2_rfunct_3(B,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ! [C] : ( ( v3_comput_1(C) & m2_finseq_1(C,k2_comput_1(k4_ordinal1)) ) => ( ( r2_tarski(B,A) & k18_margrel1(B) = k3_finseq_1(C) & r1_tarski(k10_xtuple_0(C),A) ) => r2_tarski(k3_relat_1(k5_funct_6(C),B),A) ) ) ) ) )).
fof(d12_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( B = k10_convex4(A) <=> ! [C] : ( r2_tarski(C,B) <=> m1_convex4(C,A) ) ) ) )).
fof(d12_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))))) => ( r1_cqc_sim1(A,B,C) <=> ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k1_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),B,k13_cqc_sim1(A,B),k1_setwiseo(k3_qc_lang1(A)),k11_cqc_sim1(k3_qc_lang1(A))),C) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k6_cqc_lang(A,D),E,F,G),C) => r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),D,E,F,G),C) ) ) ) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_subset_1(F,k1_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k3_qc_lang1(A))) => ! [H] : ( m2_funct_2(H,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k7_cqc_lang(A,D,E),F,G,H),C) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),D,F,G,H),C) & r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),E,k30_qc_lang1(A,F,k7_cqc_sim1(A,D)),G,H),C) ) ) ) ) ) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k1_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k3_qc_lang1(A))) => ! [H] : ( m2_funct_2(H,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k11_cqc_lang(A,E,D),F,G,H),C) => r2_hidden(k6_xtuple_0(D,k28_qc_lang1(A,F),k2_xboole_0(G,k6_domain_1(k3_qc_lang1(A),E)),k1_funct_4(H,k17_funcop_1(E,k2_qc_lang3(A,F)))),C) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_csspace(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),k2_numbers,u1_csspace(A),B,C) ) ) ) )).
fof(d12_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k7_decomp_1(A) = a_1_1_decomp_1(A) ) )).
fof(d12_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ? [E] : ( m1_subset_1(E,k4_ordinal1) & ~ r1_xxreal_0(E,D) & k8_nat_1(u1_struct_0(A),B,E) = C ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k8_dickson(A,B,C,D) <=> ( k8_nat_1(u1_struct_0(A),B,E) = C & ~ r1_xxreal_0(E,D) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( k8_nat_1(u1_struct_0(A),B,F) = C => ( r1_xxreal_0(F,D) | r1_xxreal_0(E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_eqrel_1(B,u1_struct_0(A)) => ( v6_dilworth(B,A) <=> ! [C] : ( r2_tarski(C,B) => ( v2_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(d12_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) => ( B = k10_dist_1(A) <=> ! [C] : ( m2_finseq_1(C,A) => ( r2_tarski(C,B) <=> v1_dist_1(C,A) ) ) ) ) ) )).
fof(d12_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(B,k4_dtconstr(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( C = k16_dtconstr(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_dtconstr(A),k3_finseq_2(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(A),k3_finseq_2(u1_struct_0(A))))) & C = k1_funct_1(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,k1_lang1(A)) => k1_funct_1(D,k2_trees_4(u1_struct_0(A),E)) = k3_pre_poly(u1_struct_0(A),E) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ( ( G = k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),F) & r1_lang1(A,E,G) ) => ! [H] : ( m2_finseq_1(H,k3_finseq_2(u1_struct_0(A))) => ( H = k4_finseqop(k4_dtconstr(A),k3_finseq_2(u1_struct_0(A)),F,D) => k1_funct_1(D,k8_trees_4(u1_struct_0(A),E,F)) = k1_pre_poly(u1_struct_0(A),k3_pre_poly(u1_struct_0(A),E),k5_pre_poly(u1_struct_0(A),H)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : k14_dualsp01(A,B) = k10_subset_1(B,k11_dualsp01(A)) ) )).
fof(d12_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k10_e_siec(A) = k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))) ) )).
fof(d12_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => k8_ec_pf_1(A,B,C) = k9_subset_1(k2_zfmisc_1(k6_ec_pf_1(A,B,C),k6_ec_pf_1(A,B,C)),k7_ec_pf_1(A),k1_eqrel_1(k6_ec_pf_1(A,B,C))) ) ) ) )).
fof(d12_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k22_euclid(A) = k21_euclid(A) ) )).
fof(d12_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ( r1_euclid_3(A,k5_algstr_0(k15_euclid(A),C,B),k5_algstr_0(k15_euclid(A),D,B)) & r2_tarski(E,k9_euclid_3(A,B,C,D)) ) => ! [F] : ( v1_xreal_0(F) => ( F = k11_euclid_3(A,B,C,D,E) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & k2_xcmplx_0(k2_xcmplx_0(G,F),H) = 1 & E = k3_rlvect_1(k15_euclid(A),k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,G),k1_rlvect_1(k15_euclid(A),C,F)),k1_rlvect_1(k15_euclid(A),D,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ( C = k7_euclid_7(A,B) <=> ( k3_finseq_1(C) = A & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => k1_funct_1(C,D) = k9_euclid(A,k6_euclid_7(A,D),k22_rvsum_1(B,k6_euclid_7(A,D))) ) ) ) ) ) ) ) )).
fof(d12_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ( r7_euclidlp(A,B,C) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) & ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) & r1_tarski(B,k4_euclidlp(A,D,E,F)) & r1_tarski(C,k4_euclidlp(A,D,E,F)) ) ) ) ) ) ) ) )).
fof(d12_exchsort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => k6_exchsort(A,B) = a_2_1_exchsort(A,B) ) ) )).
fof(d12_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) => ( m1_extpro_1(D,A,B,C) <=> ( v4_extpro_1(D,A,B,C) & v5_extpro_1(D,A,B,C) ) ) ) ) ) ) )).
fof(d12_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => k8_facirc_1(A,B,C,D) = k2_circcomb(k5_circcomb(D,k10_finseq_1(A,B)),k5_circcomb(D,k10_finseq_1(k4_tarski(k10_finseq_1(A,B),D),C))) ) )).
fof(d12_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k12_ff_siec(A) = u4_struct_0(A) ) )).
fof(d12_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_filter_0(A,B,C,D) <=> r2_tarski(k7_filter_0(A,C,D),B) ) ) ) ) ) )).
fof(d12_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_lattices(A,B,C) => k9_filter_2(A,B,C) = a_3_2_filter_2(A,B,C) ) ) ) ) )).
fof(d12_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k12_fin_topo(A,B) = a_2_4_fin_topo(A,B) ) ) )).
fof(d12_finance1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,C) & v4_prob_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,E))) ) => ! [G] : ( m1_subset_1(G,C) => k12_finance1(A,B,C,D,E,F,G) = k1_funct_1(k3_series_1(k7_nat_1(k1_numbers,k10_finance1(C,D,E,G,F,B),1)),k6_xcmplx_0(A,1)) ) ) ) ) ) ) ) )).
fof(d12_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_finseq_1(A) <=> ? [B] : ( v7_ordinal1(B) & r1_tarski(k9_xtuple_0(A),k2_finseq_1(B)) ) ) ) )).
fof(d12_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r5_finseq_8(A,B,C) <=> ( ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) => ( r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(B)) & k7_finseq_8(A,B,C,1) = k7_nat_d(k1_nat_1(k3_finseq_1(B),1),k3_finseq_1(C)) ) ) ) ) ) ) )).
fof(d12_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k11_fintopo2(A,B) = a_2_3_fintopo2(A,B) ) ) )).
fof(d12_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k8_fomodel0(A) = k1_funct_4(k17_funcop_1(k1_xboole_0,k1_xboole_0),k6_fomodel0(k3_finseq_2(A),k11_monoid_0(A))) ) )).
fof(d12_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k10_eqrel_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k10_eqrel_1(A),A))) ) => ( B = k15_fomodel3(A) <=> ! [C] : ( m1_bvfunc_1(C,A,k10_eqrel_1(A)) => k3_funct_2(k10_eqrel_1(A),A,B,C) = k14_fomodel3(A,C) ) ) ) ) )).
fof(d12_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_freealg(B) ) => k7_freealg(A,B) = g1_unialg_1(k4_dtconstr(k3_freealg(A,B)),k6_freealg(A,B)) ) ) )).
fof(d12_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_partfun1(E,u1_struct_0(C)) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( E = k6_fsm_1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_tarski(k1_domain_1(u1_struct_0(C),u1_struct_0(C),F,G),E) <=> r6_fsm_1(A,B,C,F,G,D) ) ) ) ) ) ) ) ) ) )).
fof(d12_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k12_ftacell1(A,B,C,D,E) = k36_gfacirc1(k24_gfacirc1(A,B,C),E,D) )).
fof(d12_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v3_funct_1(A) => ( v1_xboole_0(A) | ! [B] : ( B = k3_funct_1(A) <=> ? [C] : ( r2_tarski(C,k9_xtuple_0(A)) & B = k1_funct_1(A,C) ) ) ) ) ) )).
fof(d12_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ( m1_funct_2(C,A,B) <=> ! [D] : ( m1_subset_1(D,C) => ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) ) )).
fof(d12_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) ) => k9_funct_7(A,B,C) = k1_funct_7(k1_funct_7(A,B,k1_funct_1(A,C)),C,k1_funct_1(A,B)) ) & ( ~ ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) ) => k9_funct_7(A,B,C) = A ) ) ) )).
fof(d12_functor0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( l1_functor0(C,A,B) => ( v10_functor0(C,A,B) <=> v1_functor0(u1_functor0(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d12_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v36_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ( C = k7_fvaluat1(A,B) <=> ( u1_struct_0(C) = k6_fvaluat1(A,B) & u1_algstr_0(C) = k2_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_algstr_0(A),k2_zfmisc_1(k6_fvaluat1(A,B),k6_fvaluat1(A,B))) & u2_algstr_0(C) = k2_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u2_algstr_0(A),k2_zfmisc_1(k6_fvaluat1(A,B),k6_fvaluat1(A,B))) & u2_struct_0(C) = k4_struct_0(A) & u3_struct_0(C) = k5_struct_0(A) ) ) ) ) ) ) )).
fof(d12_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => k12_gate_1(A,B,C) = k1_gate_1(k1_xboole_0) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & k12_gate_1(A,B,C) != k1_xboole_0 ) ) )).
fof(d12_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k12_gate_5(A,B,C,D,E,F) = k37_gate_1(k7_gate_5(A,B,C,D,E),k2_gate_1(A,F),k8_gate_5(A,B,C,D,E),k2_gate_1(B,F),k9_gate_5(A,B,C,D,E),k2_gate_1(C,F),k1_xboole_0) )).
fof(d12_gaussint,axiom,( k9_gaussint = k1_realset1(k3_binop_2,k8_gaussint) )).
fof(d12_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v3_gcd_1(A) & l4_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E = k5_gcd_1(A,B,C,D) <=> ( r2_tarski(E,B) & r2_gcd_1(A,E,C) & r2_gcd_1(A,E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_gcd_1(A,F,C) & r2_gcd_1(A,F,D) ) => r2_gcd_1(A,F,E) ) ) ) ) ) ) ) ) ) )).
fof(d12_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_geomtrap(A) ) => ( v2_geomtrap(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( k8_geomtrap(A,B,C) = k8_geomtrap(A,C,B) & k8_geomtrap(A,B,B) = B & k8_geomtrap(A,k8_geomtrap(A,B,C),k8_geomtrap(A,D,E)) = k8_geomtrap(A,k8_geomtrap(A,B,D),k8_geomtrap(A,C,E)) & ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & k8_geomtrap(A,L,B) = C ) & ( k8_geomtrap(A,B,C) = k8_geomtrap(A,B,D) => C = D ) & ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,B,C,k8_geomtrap(A,B,D),k8_geomtrap(A,C,E)) ) & ~ ( r2_analoaf(A,B,C,D,E) & ~ r2_analoaf(A,B,C,k8_geomtrap(A,B,E),k8_geomtrap(A,C,D)) & ~ r2_analoaf(A,B,C,k8_geomtrap(A,C,D),k8_geomtrap(A,B,E)) ) & ( ( r2_analoaf(A,B,C,D,E) & k8_geomtrap(A,B,F) = J & k8_geomtrap(A,C,G) = J & k8_geomtrap(A,D,H) = J & k8_geomtrap(A,E,I) = J ) => r2_analoaf(A,F,G,H,I) ) & ( ( r2_analoaf(A,J,K,B,F) & r2_analoaf(A,J,K,C,G) & r2_analoaf(A,J,K,D,H) & r2_analoaf(A,J,K,E,I) & r2_analoaf(A,B,C,D,E) ) => ( J = K | r2_analoaf(A,F,G,H,I) ) ) & ( r2_analoaf(A,B,C,C,D) => ( B = C & C = D ) ) & ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,C,H,I) ) => ( B = C | r2_analoaf(A,F,G,H,I) ) ) & ( r2_analoaf(A,B,C,D,E) => ( r2_analoaf(A,D,E,B,C) & r2_analoaf(A,C,B,E,D) ) ) & ~ ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ~ r2_analoaf(A,B,C,D,L) & ~ r2_analoaf(A,B,C,L,D) ) ) & ~ ( r2_analoaf(A,B,C,D,J) & r2_analoaf(A,B,C,D,K) & B != C & J != K ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k12_gfacirc1(A,B,C) = k9_facirc_1(A,B,C,k1_facirc_1) )).
fof(d12_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : k13_glib_000(A,B,C) = k1_funct_4(A,k17_funcop_1(B,C)) ) ) )).
fof(d12_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => ( v1_abian(C) | v1_abian(D) | k9_glib_001(A,B,C,D) = k7_glib_001(A,k8_glib_001(A,B,1,C),k8_glib_001(A,B,D,k3_finseq_1(B))) ) ) & ( ~ ( ~ v1_abian(C) & ~ v1_abian(D) & r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => k9_glib_001(A,B,C,D) = B ) ) ) ) ) ) )).
fof(d12_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k11_glib_004(A,B) = k40_glib_000(k10_glib_004(A,B)) ) ) )).
fof(d12_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m2_glib_005(D,A,B) => ( D = k5_glib_005(A,B,C) <=> ( k4_glib_005(A,B,D,k5_numbers) = k17_funcop_1(C,1) & ! [E] : ( v7_ordinal1(E) => r2_relset_1(k6_glib_000(A),k2_xboole_0(k6_domain_1(k4_ordinal1,1),k7_glib_000(A)),k4_glib_005(A,B,D,k1_nat_1(E,1)),k3_glib_005(A,B,k4_glib_005(A,B,D,E))) ) ) ) ) ) ) ) )).
fof(d12_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( r2_graph_1(A,B,C,D) <=> ( ( k1_funct_1(u1_graph_1(A),D) = B & k1_funct_1(u2_graph_1(A),D) = C ) | ( k1_funct_1(u1_graph_1(A),D) = C & k1_funct_1(u2_graph_1(A),D) = B ) ) ) ) ) ) )).
fof(d12_graph_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r3_graph_2(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(B,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,C) ) => r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(A,E)) ) ) ) ) ) ) ) )).
fof(d12_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => v1_abian(k7_graph_3(A,D,C)) ) => ( k7_graph_3(A,B,C) = k5_numbers | k13_graph_3(A,B,C) = a_3_4_graph_3(A,B,C) ) ) ) ) )).
fof(d12_graph_5,axiom,( k8_graph_5 = a_0_0_graph_5 )).
fof(d12_graphsp,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k3_finseq_2(k1_numbers)) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k16_graphsp(A,B,C) = k3_real_1(k7_partfun1(k1_numbers,A,k2_xcmplx_0(k3_xcmplx_0(2,B),k7_partfun1(k1_numbers,A,k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B,B),k3_xcmplx_0(3,B)),1)))),k7_partfun1(k1_numbers,A,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),k3_xcmplx_0(B,k7_partfun1(k1_numbers,A,k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B,B),k3_xcmplx_0(3,B)),1)))),C))) ) ) ) )).
fof(d12_group_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( v5_group_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) ) ) ) ) )).
fof(d12_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ! [D] : ( m1_subset_1(D,B) => ( r1_group_10(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => D = k1_funct_1(k1_group_10(A,B,C,E),D) ) ) ) ) ) )).
fof(d12_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k12_group_2(A,B,C) = k2_group_2(A,k8_group_2(A,B),C) ) ) ) )).
fof(d12_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_group_3(A))) => ( C = k9_group_3(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v15_algstr_0(E) & m1_group_2(E,A) & D = E & r5_group_3(A,B,E) ) ) ) ) ) ) )).
fof(d12_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k11_group_4(A) = g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A)) ) )).
fof(d12_hahnban1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( v4_hahnban1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),k1_numbers,C,k1_algstr_0(B,D,E)) = k3_real_1(k3_funct_2(u1_struct_0(B),k1_numbers,C,D),k3_funct_2(u1_struct_0(B),k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d12_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)) & v1_bilinear(D,k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_bilinear(D,k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v4_bilinear(D,k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_hermitan(D,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)))) ) => ( D = k7_hermitan(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( E = k3_vectsp_4(k1_complfld,A,G,k13_bilinear(k1_complfld,A,B,C)) & F = k3_vectsp_4(k1_complfld,B,H,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))) ) => k2_binop_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))),u1_struct_0(k1_complfld),D,E,F) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(k1_complfld),C,G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_hilbert1,axiom,( k6_hilbert1 = k5_hilbert1(k1_subset_1(k1_hilbert1)) )).
fof(d12_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( m1_trees_4(C,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r1_huffman1(A,B,C,D) <=> ( k1_funct_1(C,1) = k4_huffman1(A,B) & k3_finseq_1(C) = k4_card_1(A) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(k3_finseq_1(C),E) & ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [H] : ( m1_huffman1(H,F) => ! [I] : ( m1_huffman1(I,G) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k1_huffman1) & v1_funct_1(J) & v1_finset_1(J) & v3_trees_2(J) & v2_bintree1(J) ) => ~ ( k1_funct_1(C,E) = F & G = k7_subset_1(k2_huffman1(k1_huffman1),F,k1_tarski(H)) & r2_tarski(J,k2_tarski(k8_huffman1(I,H,k1_nat_1(k9_huffman1(F),1)),k8_huffman1(H,I,k1_nat_1(k9_huffman1(F),1)))) & k1_funct_1(C,k1_nat_1(E,1)) = k2_xboole_0(k7_subset_1(k2_huffman1(k1_huffman1),F,k2_tarski(I,H)),k1_tarski(J)) ) ) ) ) ) ) ) ) & ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k1_huffman1) & v1_funct_1(E) & v1_finset_1(E) & v3_trees_2(E) & v2_bintree1(E) & k1_tarski(E) = k1_funct_1(C,k3_finseq_1(C)) ) & k4_finseq_1(D) = k2_finseq_1(k4_card_1(A)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k4_card_1(A))) => ( k1_funct_1(D,E) = k1_card_1(k1_funct_1(C,E)) & k1_funct_1(D,E) != k5_numbers ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k4_card_1(A),E) => k1_funct_1(D,k1_nat_1(E,1)) = k6_xcmplx_0(k1_funct_1(D,1),E) ) ) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k4_card_1(A),E) | r1_xxreal_0(2,k1_funct_1(D,E)) ) ) ) ) ) ) ) ) ) )).
fof(d12_idea_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( D = k12_idea_1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ( ( E = 1 => k1_recdef_1(D,E) = k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,1)),k1_binari_3(A,k9_idea_1(A,k4_idea_1(A,k9_idea_1(A,k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,1)),k1_binari_3(A,k1_recdef_1(B,3)))),k1_recdef_1(C,5)),k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,2)),k1_binari_3(A,k1_recdef_1(B,4))))),k1_recdef_1(C,6))))) ) & ( E = 2 => k1_recdef_1(D,E) = k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,2)),k1_binari_3(A,k4_idea_1(A,k9_idea_1(A,k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,1)),k1_binari_3(A,k1_recdef_1(B,3)))),k1_recdef_1(C,5)),k9_idea_1(A,k4_idea_1(A,k9_idea_1(A,k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,1)),k1_binari_3(A,k1_recdef_1(B,3)))),k1_recdef_1(C,5)),k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,2)),k1_binari_3(A,k1_recdef_1(B,4))))),k1_recdef_1(C,6)))))) ) & ( E = 3 => k1_recdef_1(D,E) = k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,3)),k1_binari_3(A,k9_idea_1(A,k4_idea_1(A,k9_idea_1(A,k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,1)),k1_binari_3(A,k1_recdef_1(B,3)))),k1_recdef_1(C,5)),k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,2)),k1_binari_3(A,k1_recdef_1(B,4))))),k1_recdef_1(C,6))))) ) & ( E = 4 => k1_recdef_1(D,E) = k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,4)),k1_binari_3(A,k4_idea_1(A,k9_idea_1(A,k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,1)),k1_binari_3(A,k1_recdef_1(B,3)))),k1_recdef_1(C,5)),k9_idea_1(A,k4_idea_1(A,k9_idea_1(A,k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,1)),k1_binari_3(A,k1_recdef_1(B,3)))),k1_recdef_1(C,5)),k6_binarith(A,k3_idea_1(A,k1_binari_3(A,k1_recdef_1(B,2)),k1_binari_3(A,k1_recdef_1(B,4))))),k1_recdef_1(C,6)))))) ) & ~ ( E != 1 & E != 2 & E != 3 & E != 4 & k1_recdef_1(D,E) != k1_recdef_1(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_ideal_1(C,A,B) => ! [D] : ( m2_finseq_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( r2_ideal_1(A,B,C,D) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( r2_tarski(E,k1_relset_1(k4_ordinal1,C)) => ( k1_funct_1(C,E) = k6_algstr_0(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E)),k3_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E))) & r2_tarski(k3_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E)),B) ) ) ) ) ) ) ) ) )).
fof(d12_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v8_incproj(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,C,I) & ~ r1_incsp_1(A,D,I) & ~ r1_incsp_1(A,B,J) & ~ r1_incsp_1(A,E,J) & ~ r1_incsp_1(A,B,K) & ~ r1_incsp_1(A,D,K) & ~ r1_incsp_1(A,C,L) & ~ r1_incsp_1(A,E,L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,B,E),I) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,C,D),J) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,C,E),K) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,B,D),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,B,C),M) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,D,E),N) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),F,G),O) & r1_incsp_1(A,H,O) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v9_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ? [E] : ( m1_subset_1(E,u4_incsp_1(A)) & r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) ) ) ) ) ) ) )).
fof(d12_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( ( v1_cat_1(C) & m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) ) => ( C = k10_index_1(A,B) <=> ! [D] : ( m4_index_1(D,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => C = k4_cat_5(A,D,k9_index_1(A,B,D)) ) ) ) ) ) )).
fof(d12_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => k9_int_3(A) = g6_algstr_0(k5_card_1(A),k3_gr_cy_1(A),k7_int_3(A),k10_subset_1(1,k5_card_1(A)),k10_subset_1(k5_numbers,k5_card_1(A))) ) )).
fof(d12_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( B = k7_integr10(A) <=> ( k1_relset_1(k1_numbers,B) = k3_limfunc1(k5_numbers) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k1_relset_1(k1_numbers,B)) => k1_funct_1(B,C) = k3_integr10(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,k6_integr10(C)),k5_numbers) ) ) ) ) ) ) )).
fof(d12_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( v1_integr15(C,A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k2_finseq_1(A)) => v1_comseq_2(k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A))) ) ) ) ) ) ) )).
fof(d12_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_integra1(B,A) <=> v3_xxreal_2(k1_rvsum_1(k8_integra1(A,B))) ) ) ) )).
fof(d12_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => k5_intpro_1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1,3),A),B) ) ) )).
fof(d12_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u4_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(A)))) ) => ( B = k7_isocat_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u4_struct_0(A),B,C) = k4_cat_1(A,C) ) ) ) ) )).
fof(d12_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,C) => ! [G] : ( m2_cat_1(G,A,C) => ( ( r2_nattra_1(A,B,D,E) & r2_nattra_1(A,C,F,G) ) => ! [H] : ( m2_nattra_1(H,A,B,D,E) => ! [I] : ( m2_nattra_1(I,A,C,F,G) => k14_isocat_2(A,B,C,D,E,F,G,H,I) = k13_isocat_2(A,B,C,D,E,F,G,H,I) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k12_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k22_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d12_jordan6,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k11_jordan6(A) = k1_jordan5c(k8_jordan6(A),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k18_pscomp_1(A),k22_pscomp_1(A)) ) )).
fof(d12_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => k7_lattad_1(A) = g1_orders_2(u1_struct_0(A),k2_lattad_1(A)) ) )).
fof(d12_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_lattice3(A) <=> ! [B] : ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_lattice3(A,B,D) => r1_orders_2(A,C,D) ) ) ) ) ) )).
fof(d12_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k5_lattice4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k7_lattices(A,C) ) ) ) ) )).
fof(d12_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k8_lattice5(A,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_numbers) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k5_lattice5(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_numbers | k1_funct_1(D,E) = k3_tarski(k2_relset_1(k10_xtuple_0(D),k5_relat_1(D,E))) ) ) ) ) ) ) ) )).
fof(d12_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v12_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattices(A,B,D) => k1_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k1_lattices(A,B,C),D) ) ) ) ) ) ) )).
fof(d12_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( ( k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B)) = k6_glib_000(A) => ( C = k10_lexbfs(A,B) <=> C = o_1_0_lexbfs(A) ) ) & ( k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B)) != k6_glib_000(A) => ( C = k10_lexbfs(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k4_ordinal1))) & ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k15_pre_poly(k4_ordinal1))) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & D = k10_xtuple_0(F) & F = k5_relset_1(k6_glib_000(A),k5_finsub_1(k4_ordinal1),k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),B),k6_subset_1(k6_glib_000(A),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B)))) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k4_ordinal1)) ) => ( r2_tarski(G,D) => r2_tarski(k1_uproots(k4_ordinal1,G,1),E) ) ) & ! [G] : ~ ( r2_tarski(G,E) & ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r2_tarski(H,D) & G = k1_uproots(k4_ordinal1,H,1) ) ) ) & C = o_2_0_lexbfs(E,F) ) ) ) ) ) ) ) ) ) )).
fof(d12_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v3_limfunc1(A) => ! [B] : ( v1_xreal_0(B) => ( B = k4_limfunc1(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_limfunc1(C) & r1_tarski(k10_xtuple_0(C),k1_relset_1(k1_numbers,A)) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) = B ) ) ) ) ) ) ) )).
fof(d12_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( D = k7_lmod_7(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = k3_vectsp_4(A,B,F,C) ) ) ) ) ) ) )).
fof(d12_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k14_lopban_1(A,B,C) = a_3_0_lopban_1(A,B,C) ) ) ) )).
fof(d12_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k15_lpspacc1(A,B,C) = a_3_1_lpspacc1(A,B,C) ) ) ) )).
fof(d12_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k12_lpspace1(A,B,C) = g1_rlvect_1(k11_lpspace1(A,B,C),k10_subset_1(k4_struct_0(k10_lpspace1(A,B,C)),k11_lpspace1(A,B,C)),k1_ideal_1(k10_lpspace1(A,B,C),k11_lpspace1(A,B,C)),k1_lpspace1(k10_lpspace1(A,B,C),k11_lpspace1(A,B,C))) ) ) ) )).
fof(d12_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k10_lpspace2(A,B,C,D)),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_lpspace2(A,B,C,D)),k1_numbers))) ) => ( E = k11_lpspace2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k10_lpspace2(A,B,C,D))) => ? [G] : ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & r2_tarski(G,F) & ? [H] : ( v1_xreal_0(H) & H = k1_mesfunc6(A,B,C,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,G))) & k3_funct_2(u1_struct_0(k10_lpspace2(A,B,C,D)),k1_numbers,E,F) = k2_power(H,k2_extreal1(1,D)) ) ) ) ) ) ) ) ) ) )).
fof(d12_ltlaxio1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( r1_ltlaxio1(A,B) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,C,B)) = 1 ) ) ) ) )).
fof(d12_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m3_ltlaxio4(B,A) => k11_ltlaxio4(A,B) = a_2_0_ltlaxio4(A,B) ) ) )).
fof(d12_margrel1,axiom,( ! [A] : ( v1_xboolean(A) <=> r2_hidden(A,k5_margrel1) ) )).
fof(d12_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k12_matrix_0(A,B,C,D) = k10_finseq_1(k10_finseq_1(A,B),k10_finseq_1(C,D)) )).
fof(d12_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( B = k9_matrix_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(C,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) ) ) ) )).
fof(d12_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k2_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(C) & k3_finseq_1(B) = k1_matrix_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(k2_numbers)) ) => ( D = k13_matrixc1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(A) & k1_matrix_0(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) => k3_matrix_0(k2_numbers,D,E,F) = k3_xcmplx_0(k3_xcmplx_0(k9_matrix_5(A,E),k3_matrix_0(k2_numbers,C,E,F)),k8_complex1(k9_matrix_5(B,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k12_matrixr1(A,B) = k7_matrix_0(k1_numbers,k6_matrixr1(k10_matrixr1(B),A),1) ) ) )).
fof(d12_mcart_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k11_mcart_1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k1_xtuple_0(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d12_measure6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_measure6(B,A) <=> v2_xxreal_2(k7_relset_1(A,k1_numbers,B,A)) ) ) )).
fof(d12_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v2_measure1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,k6_numbers) & v10_valued_0(E) & v6_supinf_2(E) & v4_measure1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r1_measure8(A,B,C,D,E) <=> ! [F] : ( r2_tarski(F,B) => k12_supinf_2(E,F) = k12_supinf_2(D,F) ) ) ) ) ) ) )).
fof(d12_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k15_member_1(A,B) = k13_member_1(A,k7_member_1(B)) ) ) )).
fof(d12_membered,axiom,( ! [A] : ( v6_membered(A) => ! [B] : ( r1_tarski(A,B) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,A) => r2_tarski(C,B) ) ) ) ) )).
fof(d12_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( v5_memstr_0(D,A,B,C) <=> k5_memstr_0(A,B,D) = C ) ) ) ) ) )).
fof(d12_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( C = k12_mesfun7c(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,D)) = k1_relset_1(A,k4_mesfunc5(A,k2_numbers,B,D)) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,D))) => k12_supinf_2(k4_mesfunc5(A,k1_numbers,C,D),E) = k12_supinf_2(k8_comseq_3(k9_mesfun7c(A,B,E)),D) ) ) ) ) ) ) ) ) )).
fof(d12_mesfunc1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( C = k12_mesfunc1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k9_xtuple_0(A)) & ~ r1_xxreal_0(k1_funct_1(A,D),B) ) ) ) ) ) )).
fof(d12_mesfunc5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v10_mesfunc5(A) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( B = k2_mesfunc5(A) <=> ~ ( ! [C] : ( v1_xreal_0(C) => ~ ( B = C & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k3_extreal1(k4_supinf_2(k8_nat_1(k6_numbers,A,F),B))) ) ) ) ) & v7_mesfunc5(A) ) ) & ~ ( B = k1_supinf_1 & v8_mesfunc5(A) ) & ~ ( B = k2_supinf_1 & v9_mesfunc5(A) ) ) ) ) ) ) )).
fof(d12_metric_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) ) => ( A = k6_metric_1 <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_binop_1(A,B,C) = k9_complex1(k6_xcmplx_0(B,C)) ) ) ) ) )).
fof(d12_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => k9_metric_2(A) = a_1_5_metric_2(A) ) )).
fof(d12_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => k10_midsp_1(A) = a_1_1_midsp_1(A) ) )).
fof(d12_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) ) => ! [B] : ( l1_midsp_2(B,A) => ( v4_midsp_2(B,A) <=> ( v2_midsp_2(u1_midsp_2(A,B)) & v3_rlvect_1(u1_midsp_2(A,B)) & v4_rlvect_1(u1_midsp_2(A,B)) & v13_algstr_0(u1_midsp_2(A,B)) & v2_rlvect_1(u1_midsp_2(A,B)) & v1_midsp_2(u2_midsp_2(A,B),A,u1_midsp_2(A,B)) & r1_midsp_2(u1_struct_0(A),u1_midsp_2(A,B),u2_midsp_2(A,B)) ) ) ) ) )).
fof(d12_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_midsp_3(B,A) => ! [C] : ( ( v4_midsp_2(C,B) & l1_midsp_2(C,B) ) => ! [D] : ( m2_finseq_2(D,u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(u1_midsp_2(B,C))) => ( E = k10_midsp_3(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => E = k9_midsp_3(A,B,C,F,D) ) ) ) ) ) ) ) )).
fof(d12_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( v7_ordinal1(D) => k12_mmlquery(A,B,C,D) = a_4_7_mmlquery(A,B,C,D) ) ) ) )).
fof(d12_mod_2,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) => ( ( A = k5_numbers => k10_mod_2(A) = k5_numbers ) & ( A = 1 => k10_mod_2(A) = 2 ) & ( A = 2 => k10_mod_2(A) = 1 ) ) ) )).
fof(d12_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_mod_4(C,A,B) <=> ( v3_mod_4(C,A,B) & v2_funct_2(C,u1_struct_0(B)) ) ) ) ) ) )).
fof(d12_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_modcat_1(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A,B),B))) ) => ( C = k9_modcat_1(A,B) <=> ! [D] : ( m4_modcat_1(D,A,k4_modcat_1(A,B)) => k3_funct_2(k4_modcat_1(A,B),B,C,D) = k6_modcat_1(A,B,D) ) ) ) ) ) )).
fof(d12_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( A = k12_modelc_1 <=> ( ! [B] : ( r2_tarski(B,A) => m2_finseq_1(B,k4_ordinal1) ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => r2_tarski(k6_modelc_1(B),A) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => r2_tarski(k7_modelc_1(B),A) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k8_modelc_1(B,C),A) ) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => r2_tarski(k9_modelc_1(B),A) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => r2_tarski(k10_modelc_1(B),A) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k11_modelc_1(B,C),A) ) ) ) & ! [B] : ( ~ v1_xboole_0(B) => ( ( ! [C] : ( r2_tarski(C,B) => m2_finseq_1(C,k4_ordinal1) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => r2_tarski(k6_modelc_1(C),B) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) => r2_tarski(k7_modelc_1(C),B) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k8_modelc_1(C,D),B) ) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) => r2_tarski(k9_modelc_1(C),B) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) => r2_tarski(k10_modelc_1(C),B) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k11_modelc_1(C,D),B) ) ) ) ) => r1_tarski(A,B) ) ) ) ) ) )).
fof(d12_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v3_group_1(A) <=> v2_binop_1(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d12_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k8_msafree(A,B)),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k8_msafree(A,B)),C)))) ) => ( D = k9_msafree(A,B,C) <=> ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k4_dtconstr(k5_msafree(A,B))) => ( r1_lang1(k5_msafree(A,B),k6_msafree(A,B,C),k1_dtconstr(u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),E)) => k1_funct_1(D,E) = k8_trees_4(u1_struct_0(k5_msafree(A,B)),k6_msafree(A,B,C),E) ) ) ) ) ) ) ) )).
fof(d12_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v3_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( B = k7_msafree2(A) <=> r8_pboole(u1_struct_0(A),u3_msualg_1(A,B),k7_funcop_1(u1_struct_0(A),k1_tarski(k5_ordinal1))) ) ) ) )).
fof(d12_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),k4_equation(A)) => ! [D] : ( m1_msafree(D,A,B) => ( v10_msafree4(D,A,B,C) <=> ! [E] : ( ( v4_msualg_1(E,A) & v9_msafree4(E,A,C) & l3_msualg_1(E,A) ) => ! [F] : ( m2_pboole(F,u1_struct_0(A),D,u3_msualg_1(A,E)) => ? [G] : ( m2_pboole(G,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,E)) & r1_msualg_3(A,B,E,G) & r8_pboole(u1_struct_0(A),k1_msafree(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,E),D,G),F) ) ) ) ) ) ) ) ) )).
fof(d12_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( v1_msafree1(B,A) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,B))) => k4_msafree5(A,B,C,D,E) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,k3_msafree5(A,B,E)),E) ) ) ) ) ) ) )).
fof(d12_msualg_1,axiom,( ! [A] : ( ( v13_struct_0(A,1) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( C = k10_msualg_1(A,B) <=> m1_subset_1(C,k10_xtuple_0(u3_msualg_1(A,B))) ) ) ) )).
fof(d12_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => ! [E] : ( ( v3_msualg_1(E,A) & v4_msualg_1(E,A) & m1_msualg_2(E,A,C) ) => ( E = k6_msualg_3(A,B,C,D) <=> r8_pboole(u1_struct_0(A),u3_msualg_1(A,E),k9_pboole(u1_struct_0(A),u3_msualg_1(A,B),D)) ) ) ) ) ) ) ) )).
fof(d12_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)))) ) => ( E = k11_msualg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k3_msualg_1(A,B,C)) => ( r2_tarski(k6_msualg_4(A,B,C,D,F),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,C,D))),B)) => k1_funct_1(E,k6_msualg_4(A,B,C,D,F)) = k1_funct_1(k1_partfun1(k3_msualg_1(A,B,C),k4_msualg_1(A,B,C),k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B),k5_msualg_1(A,B,C),k7_msualg_4(A,B,C,D)),F) ) ) ) ) ) ) ) ) )).
fof(d12_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ! [D] : ( ( v4_msualg_6(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( D = k7_msualg_6(A,B,C) <=> ( r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( ( v4_msualg_6(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( r2_pboole(u1_struct_0(A),C,E) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) ) ) ) )).
fof(d12_nat_lat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( m2_nat_lat(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u2_lattices(B) = k1_realset1(u2_lattices(A),u1_struct_0(B)) & u1_lattices(B) = k1_realset1(u1_lattices(A),u1_struct_0(B)) ) ) ) ) )).
fof(d12_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r1_nattra_1(A,B,C,D) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ( v1_nattra_1(E,A,B,C,D) => ! [F] : ( m1_nattra_1(F,A,B,D,C) => ( F = k6_nattra_1(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k2_nattra_1(A,B,D,C,F,G) = k6_cat_1(B,k8_cat_1(A,B,C,G),k8_cat_1(A,B,D,G),k2_nattra_1(A,B,C,D,E,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( r8_ncfcont1(A,B,C,D) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) => r2_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) )).
fof(d12_normform,axiom,( ! [A] : ! [B] : ( ( v3_lattices(B) & l3_lattices(B) ) => ( B = k11_normform(A) <=> ( u1_struct_0(B) = k8_normform(A) & ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ! [D] : ( m2_subset_1(D,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ( k1_binop_1(u2_lattices(B),C,D) = k9_normform(A,k5_setwiseo(k7_normform(A),C,D)) & k1_binop_1(u1_lattices(B),C,D) = k9_normform(A,k10_normform(A,C,D)) ) ) ) ) ) ) )).
fof(d12_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => k10_normsp_3(A,B) = k4_dualsp01(k6_vectsp10(k2_vectsp_1,k2_dualsp01(A),k9_normsp_3(A,B))) ) ) )).
fof(d12_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v11_o_ring_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v10_o_ring_1(C,A) & B = k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)) ) ) ) ) )).
fof(d12_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) ) => ! [B] : ( ( v1_pre_topc(B) & l1_pre_topc(B) ) => ( B = k17_openlatt(A) <=> ( u1_struct_0(B) = k7_openlatt(A) & u1_pre_topc(B) = a_1_1_openlatt(A) ) ) ) ) )).
fof(d12_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v4_oposet_1(A) <=> ( v3_orders_2(A) & v4_orders_2(A) ) ) ) )).
fof(d12_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k12_oppcat_1(A) = k11_oppcat_1(A,A,k10_cat_1(A)) ) )).
fof(d12_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r6_orders_1(A,B) <=> ( r2_tarski(B,k1_relat_1(A)) & ! [C] : ~ ( r2_tarski(C,k1_relat_1(A)) & C != B & r2_hidden(k4_tarski(B,C),A) ) ) ) ) )).
fof(d12_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m2_orders_1(B,k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) => ! [C] : ( ( v6_orders_2(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( m2_orders_2(C,A,B) <=> ( C != k1_xboole_0 & r2_wellord1(u1_orders_2(A),C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => k1_funct_1(B,k1_orders_2(A,k3_orders_2(A,C,D))) = D ) ) ) ) ) ) ) )).
fof(d12_ordinal1,axiom,( ! [A] : ( v7_ordinal1(A) <=> r2_hidden(A,k4_ordinal1) ) )).
fof(d12_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ( v2_ordinal2(A) <=> ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r2_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d12_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal6(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( B = k8_ordinal6(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(k1_funct_1(A,k5_numbers)) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k3_tarski(a_2_0_ordinal6(A,C)) ) ) ) ) ) ) )).
fof(d12_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k10_osafree(A,B,C) <=> ( r2_tarski(C,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),E)) => r3_orders_2(A,D,E) ) ) ) ) ) ) ) ) )).
fof(d12_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v9_osalg_1(B,A) <=> ( v7_osalg_1(B,A) & ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( r2_osalg_1(A,C,k1_msualg_1(A,B)) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ~ r3_osalg_1(A,B,D,C) ) ) ) ) ) ) ) )).
fof(d12_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ! [D] : ( ( v3_msualg_1(D,A) & v12_osalg_1(D,A) & m1_msualg_2(D,A,B) ) => ( D = k10_osalg_2(A,B,C) <=> ( m2_osalg_2(C,A,D) & ! [E] : ( ( v12_osalg_1(E,A) & m1_msualg_2(E,A,B) ) => ( m2_osalg_2(C,A,E) => ( v12_osalg_1(D,A) & m1_msualg_2(D,A,E) ) ) ) ) ) ) ) ) ) )).
fof(d12_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) => k8_osalg_4(A,B,C,D,E) = k6_eqrel_1(k4_osalg_4(A,u3_msualg_1(A,B),k3_osalg_4(A,D)),k4_osalg_4(A,u3_msualg_1(A,B),k3_osalg_4(A,D)),k5_osalg_4(A,B,C,k3_osalg_4(A,D)),E) ) ) ) ) ) )).
fof(d12_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_parsp_1(A) ) => ( v2_parsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r1_parsp_1(A,B,C,C,B) & r1_parsp_1(A,B,C,D,D) & ~ ( r1_parsp_1(A,B,C,F,G) & r1_parsp_1(A,B,C,H,I) & ~ r1_parsp_1(A,F,G,H,I) & B != C ) & ( r1_parsp_1(A,B,C,B,D) => r1_parsp_1(A,C,B,C,D) ) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r1_parsp_1(A,B,C,D,J) & r1_parsp_1(A,B,D,C,J) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v3_relat_1(B) <=> ! [C] : ( r2_hidden(C,A) => v1_xboole_0(k1_funct_1(B,C)) ) ) ) )).
fof(d12_pcs_0,axiom,( k5_pcs_0 = g1_pcs_0(k1_xboole_0,k1_partit_2(k1_xboole_0,k1_xboole_0)) )).
fof(d12_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k10_pdiff_1(A,B,C,D) = k1_fdiff_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,D),C),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(B,A),D)) ) ) ) ) )).
fof(d12_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r3_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k3_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,F) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,k1_pdiff_3(1,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(1,3,A),B),J),k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(1,3,A),B),F)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,F)),k1_funct_1(I,k6_xcmplx_0(J,F))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r3_pdiff_9(A,B,C,D) <=> r4_pdiff_9(A,B,k12_finseq_1(k4_ordinal1,C),D) ) ) ) ) )).
fof(d12_pencil_1,axiom,( ! [A] : ( ( v8_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_pencil_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_pre_topc(A)) & r1_tarski(k2_tarski(B,C),D) ) ) ) ) ) )).
fof(d12_petri,axiom,( ! [A] : ( l1_petri(A) => k11_petri(A) = g1_petri(u1_struct_0(A),u4_struct_0(A),k3_relset_1(u4_struct_0(A),u1_struct_0(A),u2_petri(A)),k3_relset_1(u1_struct_0(A),u4_struct_0(A),u1_petri(A))) ) )).
fof(d12_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => k7_petri_3(A,B,C) = a_3_2_petri_3(A,B,C) ) ) ) )).
fof(d12_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m2_funct_2(D,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ( ( r1_petri_df(A,B,C) => ( D = k6_petri_df(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(E,k8_petri(A,k6_domain_1(u4_struct_0(A),C))) => ( r2_tarski(E,k9_petri(A,k6_domain_1(u4_struct_0(A),C))) | k3_funct_2(u1_struct_0(A),k4_ordinal1,D,E) = k6_xcmplx_0(k3_funct_2(u1_struct_0(A),k4_ordinal1,B,E),1) ) ) & ( r2_tarski(E,k9_petri(A,k6_domain_1(u4_struct_0(A),C))) => ( r2_tarski(E,k8_petri(A,k6_domain_1(u4_struct_0(A),C))) | k3_funct_2(u1_struct_0(A),k4_ordinal1,D,E) = k1_nat_1(k3_funct_2(u1_struct_0(A),k4_ordinal1,B,E),1) ) ) & ( ( ( r2_tarski(E,k8_petri(A,k6_domain_1(u4_struct_0(A),C))) & r2_tarski(E,k9_petri(A,k6_domain_1(u4_struct_0(A),C))) ) | ( ~ r2_tarski(E,k8_petri(A,k6_domain_1(u4_struct_0(A),C))) & ~ r2_tarski(E,k9_petri(A,k6_domain_1(u4_struct_0(A),C))) ) ) => k3_funct_2(u1_struct_0(A),k4_ordinal1,D,E) = k3_funct_2(u1_struct_0(A),k4_ordinal1,B,E) ) ) ) ) ) & ( ~ r1_petri_df(A,B,C) => ( D = k6_petri_df(A,B,C) <=> r2_relset_1(u1_struct_0(A),k4_ordinal1,D,B) ) ) ) ) ) ) ) )).
fof(d12_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(B))) => k10_pnproc_1(A,B,C,D) = a_4_0_pnproc_1(A,B,C,D) ) ) ) )).
fof(d12_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k8_polyform(A,B)) ) => k12_polyform(A,B,C) = k1_funct_1(k7_polyform(A,B),C) ) ) ) ) )).
fof(d12_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( D = k9_polynom5(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,E) = k6_algstr_0(A,B,k1_polynom5(A,E,C)) ) ) ) ) ) ) )).
fof(d12_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r10_polyred(A,B,C,D,E) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & r2_tarski(F,E) & r9_polyred(A,B,C,D,F) ) ) ) ) ) ) ) )).
fof(d12_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)))) ) => ( B = k10_poset_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k6_poset_1(A,A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = D => k3_funct_2(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A),B,C) = k3_poset_1(A,D) ) ) ) ) ) ) )).
fof(d12_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [H] : ! [I] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(H,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) & v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(I,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(J,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ( J = k11_poset_2(A,B,C,D,E,F,G,H,I) <=> ! [K] : ( m1_subset_1(K,u1_struct_0(k4_poset_2(A))) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(L,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(M,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ( ( H = L & I = M ) => k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B)),J,K) = k10_poset_2(A,B,C,D,E,K,k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B)),L,k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(A)),k6_poset_2(A,A,F),K)),k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B)),M,k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(A)),k6_poset_2(A,A,G),K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => k12_pralg_2(A,B,C,D) = k1_funct_1(k9_funct_6(k11_pralg_2(A,B,C)),D) ) ) ) )).
fof(d12_pre_poly,axiom,( ! [A] : ! [B] : ( B = k14_pre_poly(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) ) ) )).
fof(d12_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v10_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) ) )).
fof(d12_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1)) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => ( m1_prelamb(B,A) <=> ( v1_finset_1(k9_xtuple_0(B)) & ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => v2_prelamb(C,A,B) ) ) ) ) ) )).
fof(d12_prob_1,axiom,( k12_prob_1 = k9_prob_1(k1_numbers,k11_prob_1) )).
fof(d12_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_card_3(k4_prvect_2(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k4_prvect_2(A)),k1_numbers))) ) => ( B = k13_prvect_2(A) <=> ! [C] : ( m1_subset_1(C,k4_card_3(k4_prvect_2(A))) => k3_funct_2(k4_card_3(k4_prvect_2(A)),k1_numbers,B,C) = k12_euclid(k12_prvect_2(A,C)) ) ) ) ) )).
fof(d12_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k11_pscomp_1(A) = k19_euclid(k6_pscomp_1(A),k7_pscomp_1(A)) ) )).
fof(d12_pua2mss1,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( l1_msualg_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r3_pua2mss1(A,B,C,D) <=> ( k9_xtuple_0(C) = u1_struct_0(A) & k9_xtuple_0(D) = u4_struct_0(A) & r1_tarski(k10_xtuple_0(C),u1_struct_0(B)) & r1_tarski(k10_xtuple_0(D),u4_struct_0(B)) & k3_relat_1(u2_msualg_1(A),C) = k3_relat_1(D,u2_msualg_1(B)) & ! [E] : ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( ( r2_tarski(E,u4_struct_0(A)) & F = k1_funct_1(u1_msualg_1(A),E) ) => k3_relat_1(F,C) = k1_funct_1(u1_msualg_1(B),k1_funct_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(d12_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k6_qc_lang1(A)) => ! [C] : ( m2_finseq_1(C,k2_qc_lang1(A)) => ( k7_qc_lang1(A,B) = k3_finseq_1(C) => k10_qc_lang1(A,B,C) = k7_finseq_1(k12_finseq_1(k6_qc_lang1(A),B),C) ) ) ) ) )).
fof(d12_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v3_qc_lang2(B,A) <=> ? [C] : ( m1_subset_1(C,k9_qc_lang1(A)) & ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k4_qc_lang2(A,C,D) ) ) ) ) ) )).
fof(d12_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,k5_qmax_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_qmax_1(A),k5_qmax_1(A)))) ) => ( B = k9_qmax_1(A) <=> ! [C] : ( m1_subset_1(C,k5_qmax_1(A)) => ! [D] : ( m1_subset_1(D,k5_qmax_1(A)) => ( r2_tarski(k1_domain_1(k5_qmax_1(A),k5_qmax_1(A),C,D),B) <=> r4_qmax_1(A,C,D) ) ) ) ) ) ) )).
fof(d12_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v14_quantal1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattices(A,C,D) => r1_lattices(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)) ) ) ) ) ) ) )).
fof(d12_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( ( r2_tarski(A,k2_numbers) => ( B = k12_quaterni(A) <=> ? [C] : ( v1_xcmplx_0(C) & A = C & B = k3_complex1(C) ) ) ) & ( ~ r2_tarski(A,k2_numbers) => ( B = k12_quaterni(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,4,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(4,k1_numbers))) & A = C & B = k1_funct_1(C,k5_numbers) ) ) ) ) ) )).
fof(d12_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)))) ) => ( B = k15_quofield(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k4_binop_1(k7_quofield(A),B,C,D) = k8_quofield(A,C,D) ) ) ) ) ) )).
fof(d12_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_radix_1(A,B,C) <=> ~ r1_xxreal_0(k1_newton(k1_radix_1(C),A),B) ) ) ) ) )).
fof(d12_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(B,2)) & m2_finseq_1(D,k3_radix_1(C)) ) => ( r2_radix_6(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(E,A) => k4_radix_1(E,C,k2_xcmplx_0(B,2),D) = k5_numbers ) ) ) ) ) ) ) )).
fof(d12_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => k6_ratfunc1(A,B) = k3_ratfunc1(A,k4_polynom5(A,k4_ratfunc1(A,B),k12_algstr_0(A,k5_struct_0(A),k2_ratfunc1(A,k5_ratfunc1(A,B)))),k4_polynom5(A,k5_ratfunc1(A,B),k12_algstr_0(A,k5_struct_0(A),k2_ratfunc1(A,k5_ratfunc1(A,B))))) ) ) )).
fof(d12_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( C = k6_relat_1(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(E,A) & r2_hidden(k4_tarski(D,E),B) ) ) ) ) ) )).
fof(d12_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_relat_2(A) <=> r4_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d12_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( ( r9_rewrite1(A,B) & ! [C] : ! [D] : ( ( r4_rewrite1(A,B,C) & r4_rewrite1(A,B,D) ) => C = D ) ) => ! [C] : ( C = k2_rewrite1(A,B) <=> r4_rewrite1(A,B,C) ) ) ) )).
fof(d12_rfunct_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r2_rfunct_3(A,B) <=> ( r1_tarski(B,k1_relset_1(k1_numbers,A)) & ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_hidden(D,B) & r2_hidden(E,B) & r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)),B) ) => r1_xxreal_0(k1_funct_1(A,k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E))),k2_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(A,D)),k3_xcmplx_0(k6_xcmplx_0(1,C),k1_funct_1(A,E)))) ) ) ) ) ) ) ) ) )).
fof(d12_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_ring_2(B,A) <=> ? [C] : ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) & r1_ring_2(A,B,C) ) ) ) ) )).
fof(d12_ringcat1,axiom,( ! [A] : ( v5_ringcat1(A) <=> ! [B] : ( r2_hidden(B,A) => ( v2_ringcat1(B) & v3_ringcat1(B) & l1_ringcat1(B) ) ) ) )).
fof(d12_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v9_rltopsp1(B,A) <=> ! [C] : ( m1_connsp_2(C,A,k4_struct_0(A)) => ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ( ~ r1_xxreal_0(E,D) => r1_tarski(B,k1_convex1(A,C,E)) ) ) ) ) ) ) ) )).
fof(d12_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k4_rlvect_1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & C = k8_nat_1(u1_struct_0(A),D,k3_finseq_1(B)) & k8_nat_1(u1_struct_0(A),D,k5_numbers) = k4_struct_0(A) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F = k1_funct_1(B,k1_nat_1(E,1)) => ( r1_xxreal_0(k3_finseq_1(B),E) | k8_nat_1(u1_struct_0(A),D,k1_nat_1(E,1)) = k1_algstr_0(A,k8_nat_1(u1_struct_0(A),D,E),F) ) ) ) ) ) ) ) ) ) )).
fof(d12_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => k9_rlvect_2(A,B) = k8_rlvect_2(A,k4_xcmplx_0(1),B) ) ) )).
fof(d12_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => ! [D] : ( m1_rmod_4(D,A,B) => k9_rmod_4(A,B,C,D) = k6_rmod_4(A,B,C,k8_rmod_4(A,B,D)) ) ) ) ) )).
fof(d12_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_robbins1(A) ) => ( v6_robbins1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_robbins1(A,k3_robbins1(A,k5_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C))),k3_robbins1(A,k5_robbins1(A,B,k3_robbins1(A,C)))) = C ) ) ) ) )).
fof(d12_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_roughs_1(A,B,C) <=> r1_tarski(k4_roughs_1(A,B),k4_roughs_1(A,C)) ) ) ) ) )).
fof(d12_rsspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k8_rsspace,k8_rsspace),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_rsspace,k8_rsspace),k1_numbers))) ) => ( A = k9_rsspace <=> ! [B] : ! [C] : ( ( r2_hidden(B,k8_rsspace) & r2_hidden(C,k8_rsspace) ) => k1_binop_1(A,B,C) = k4_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(B),k2_rsspace(C))) ) ) ) )).
fof(d12_rvsum_1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k18_rvsum_1(A) = k1_finsop_1(k1_numbers,A,k9_binop_2) ) )).
fof(d12_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( v7_ordinal1(B) => k15_scm_comp(A,B) = k1_funct_1(k3_funct_2(k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3))),k14_scm_comp,A),B) ) ) )).
fof(d12_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( C = k10_scmfsa_2(A,B) <=> ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_ami_3)) & ? [E] : ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) & A = D & B = E & C = k6_ami_3(D,E) ) ) ) ) ) ) )).
fof(d12_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k11_scmpds_2(A,B,C) = k3_xtuple_0(8,k1_xboole_0,k11_finseq_1(A,B,C)) ) ) ) )).
fof(d12_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k10_scmpds_6(A,B,C) = k1_scmpds_4(k4_scmpds_4(k9_scmpds_2(A,B,2),k3_scmpds_2(k1_nat_1(k4_card_1(C),1))),C) ) ) ) )).
fof(d12_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & ? [F] : ( m2_subset_1(F,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(F,k1_xboole_0,k7_finseq_4(B,C,D,E)) ) ) ) ) ) => ! [B] : ( v1_int_1(B) => ( B = k13_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,4) ) ) ) ) ) )).
fof(d12_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : k7_scmyciel(A,B) = k3_xboole_0(A,k1_zfmisc_1(B)) ) )).
fof(d12_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => k14_seq_4(A) = k5_finseq_2(k2_numbers,A,k5_complex1) ) )).
fof(d12_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( r3_seqfunc(A,B,C) <=> ( r1_seqfunc(A,k1_numbers,B,C) & ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & C = k1_relset_1(A,D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ? [G] : ( v7_ordinal1(G) & ? [H] : ( m1_subset_1(H,A) & r1_xxreal_0(F,G) & r2_tarski(H,C) & r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(k1_funct_1(k1_seqfunc(A,k1_numbers,B,G),H),k1_funct_1(D,H)))) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_setfam_1(B,A) <=> ~ r2_tarski(A,B) ) ) )).
fof(d12_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_sheffer1(A) ) => ( v9_sheffer1(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_sheffer1(A,B,B) = k3_robbins1(A,B) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,B,C) = k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,C)) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,C) = k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C)) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,C) = k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C)) ) ) ) ) ) )).
fof(d12_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( v1_xxreal_0(B) => ( ( v4_matroid0(A) => ( v3_pencil_1(A) | ( B = k6_simplex0(A) <=> ( ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_pre_topc(C,A) => r1_xxreal_0(k4_card_1(C),k1_xxreal_3(B,1)) ) ) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(C,A) & k1_card_1(C) = k1_xxreal_3(B,1) ) ) ) ) ) & ( v3_pencil_1(A) => ( B = k6_simplex0(A) <=> B = k2_xxreal_3(1) ) ) & ~ ( ~ ( ~ v3_pencil_1(A) & v4_matroid0(A) ) & ~ v3_pencil_1(A) & ~ ( B = k6_simplex0(A) <=> B = k1_xxreal_0 ) ) ) ) ) )).
fof(d12_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => ( v6_stacks_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r1_stacks_1(A,k7_stacks_1(A,B,C)) ) ) ) ) )).
fof(d12_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_struct_0(B,A) <=> B = k4_struct_0(A) ) ) ) )).
fof(d12_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_substut1(A)) ) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k13_substut1(A,B,C) = o_3_0_substut1(A,B,C) ) ) ) )).
fof(d12_supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => k17_supinf_2(A) = k8_supinf_2(k15_supinf_2(k16_supinf_2(A))) ) )).
fof(d12_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k12_tdlat_1(A) = g3_lattices(k9_tdlat_1(A),k10_tdlat_1(A),k11_tdlat_1(A)) ) )).
fof(d12_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r1_tsep_1(C,D) | r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) => ( G = k10_tmap_1(A,B,C,D,E,F) <=> ( r2_funct_2(u1_struct_0(C),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,G),E) & r2_funct_2(u1_struct_0(D),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,G),F) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => ! [C] : ( m2_subset_1(C,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => ( ( m2_subset_1(k2_xboole_0(B,C),k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => k4_topalg_6(A,B,C) = k2_xboole_0(B,C) ) & ( ~ m2_subset_1(k2_xboole_0(B,C),k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => k4_topalg_6(A,B,C) = k1_xboole_0 ) ) ) ) ) )).
fof(d12_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_card_1(B) => ( B = k4_topgen_1(A) <=> ( ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_tops_1(C,A) & B = k1_card_1(C) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(C,A) => r1_ordinal1(B,k1_card_1(C)) ) ) ) ) ) ) )).
fof(d12_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = k6_topreal1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,B) <=> ( k17_euclid(C) = k17_euclid(A) & r1_xxreal_0(k18_euclid(C),k18_euclid(A)) ) ) ) ) ) ) )).
fof(d12_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_topalg_2)) => k13_toprealb(A) = k2_partfun1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k2_rcomp_1(A,k2_xcmplx_0(A,1))) ) )).
fof(d12_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v8_transgeo(B,A) <=> r2_transgeo(u1_struct_0(A),B,u1_analoaf(A)) ) ) ) )).
fof(d12_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k6_trees_1(A) <=> ( ? [C] : ( m2_finseq_1(C,k4_ordinal1) & r2_tarski(C,A) & k3_finseq_1(C) = B ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,A) => r1_xxreal_0(k3_finseq_1(C),B) ) ) ) ) ) ) )).
fof(d12_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => k8_trees_2(A,B) = k4_card_1(k1_trees_2(A,B)) ) ) )).
fof(d12_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v3_trees_2(C) ) => k8_trees_3(A,B,C) = k3_relat_1(C,k6_trees_3(A,B)) ) ) ) )).
fof(d12_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => ! [B] : k12_trees_9(A,B) = a_2_1_trees_9(A,B) ) )).
fof(d12_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( C = k1_tsp_2(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = u1_struct_0(B) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A),D,k3_tex_4(A,E)) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,E) ) ) ) ) ) ) ) )).
fof(d12_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( r1_turing_1(A,B,C,D) <=> ( k1_funct_1(B,C) = k5_numbers & k1_funct_1(B,D) = k5_numbers & ! [E] : ( v1_int_1(E) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(D,E) & k1_funct_1(B,E) != 1 ) ) ) ) ) ) ) ) )).
fof(d12_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k13_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k8_margrel1(k9_margrel1(k9_margrel1(B,C),D)) ) ) ) ) ) )).
fof(d12_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ ( k6_unialg_2(A) = k1_xboole_0 & B = k1_xboole_0 ) => ! [C] : ( ( v1_unialg_1(C) & m1_unialg_2(C,A) ) => ( C = k7_unialg_2(A,B) <=> ( r1_tarski(B,u1_struct_0(C)) & ! [D] : ( m1_unialg_2(D,A) => ( r1_tarski(B,u1_struct_0(D)) => m1_unialg_2(C,D) ) ) ) ) ) ) ) ) )).
fof(d12_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_valued_0(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => v7_ordinal1(k1_funct_1(A,B)) ) ) ) )).
fof(d12_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k61_valued_1(A,B) <=> ( k9_xtuple_0(C) = a_2_0_valued_1(A,B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(A)) => k1_funct_1(C,k2_xcmplx_0(D,B)) = k1_funct_1(A,D) ) ) ) ) ) ) ) )).
fof(d12_valued_2,axiom,( ! [A] : ! [B] : ( B = k6_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) )).
fof(d12_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( r1_tarski(u1_struct_0(C),k8_vectsp10(B,A,D)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k6_vectsp10(A,B,C)),u1_struct_0(A)) & v13_vectsp_1(E,k6_vectsp10(A,B,C),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,C)),u1_struct_0(A)))) ) => ( E = k10_vectsp10(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k6_vectsp10(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( F = k3_vectsp_4(A,B,G,C) => k3_funct_2(u1_struct_0(k6_vectsp10(A,B,C)),u1_struct_0(A),E,F) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k4_vectsp_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k4_algstr_0(A,C) ) ) ) ) )).
fof(d12_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => k5_waybel11(A) = u1_pre_topc(k12_yellow_6(A,k2_waybel11(A))) ) )).
fof(d12_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v6_waybel23(B,A) & m1_waybel23(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))))) ) => ( C = k5_waybel23(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))),C,D) = k9_subset_1(u1_struct_0(A),k1_waybel_3(A,D),B) ) ) ) ) ) )).
fof(d12_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v2_altcat_2(B,k8_waybel34(A)) & v3_altcat_2(B,k8_waybel34(A)) & m1_altcat_2(B,k8_waybel34(A)) ) => ( B = k10_waybel34(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k8_waybel34(A))) => ( m1_subset_1(C,u1_struct_0(B)) <=> v3_waybel_3(k4_yellow21(k8_waybel34(A),C)) ) ) ) ) ) )).
fof(d12_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( r2_waybel_0(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,D,E) & r2_tarski(k2_waybel_0(A,B,E),C) ) ) ) ) ) )).
fof(d12_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v5_waybel_1(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) ) ) ) )).
fof(d12_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_waybel_4(B,A) & v3_waybel_4(B,A) & v4_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) => ( C = k7_waybel_4(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),C,D) = k5_waybel_4(A,D,B) ) ) ) ) ) )).
fof(d12_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k11_xboolean(A,B) = k4_xboolean(A,k3_xboolean(B)) ) ) )).
fof(d12_xtuple_0,axiom,( ! [A] : ! [B] : ( B = k9_xtuple_0(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : r2_hidden(k4_tarski(C,D),A) ) ) )).
fof(d12_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ( v6_xxreal_2(A) <=> ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r2_hidden(B,A) & r2_hidden(C,A) ) => r1_tarski(k1_xxreal_1(B,C),A) ) ) ) ) ) )).
fof(d12_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & v4_yellow18(B) & l2_altcat_1(B) ) => ( B = k4_yellow18(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( r2_tarski(D,k3_yellow18(B,C)) <=> ( r2_tarski(D,k3_card_3(k2_card_3(u1_altcat_1(A)))) & C = k16_mcart_1(D) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_binop_1(u1_altcat_1(B),C,D)) <=> ( r2_tarski(E,k1_funct_2(k3_yellow18(B,C),k3_yellow18(B,D))) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(A,F,G)) & F = C & G = D & k1_altcat_1(A,F,G) != k1_xboole_0 & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( k1_altcat_1(A,I,F) != k1_xboole_0 => ! [J] : ( m1_subset_1(J,k1_altcat_1(A,I,F)) => k1_funct_1(E,k4_tarski(J,k4_tarski(I,F))) = k4_tarski(k5_altcat_1(A,I,F,G,J,H),k4_tarski(I,G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d12_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v2_altcat_2(B,k7_yellow21(A)) & v3_altcat_2(B,k7_yellow21(A)) & m1_altcat_2(B,k7_yellow21(A)) ) => ( B = k8_yellow21(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k7_yellow21(A))) => ( m1_subset_1(C,u1_struct_0(B)) <=> v2_waybel_8(k4_yellow21(k7_yellow21(A),C)) ) ) ) ) ) )).
fof(d12_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => k4_yellow_0(A) = k2_yellow_0(A,k1_xboole_0) ) )).
fof(d12_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m3_yellow_6(C,A,B) <=> ! [D] : ( r2_tarski(D,k10_xtuple_0(C)) => ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,B) ) ) ) ) ) )).
fof(d12_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_zf_lang(A) <=> ? [B] : ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & A = k5_zf_lang(B) ) ) ) )).
fof(d12_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_zf_model(A) <=> ( v1_ordinal1(A) & r2_zf_model(A,k7_zf_model) & r2_zf_model(A,k8_zf_model) & r2_zf_model(A,k9_zf_model) & r2_zf_model(A,k10_zf_model) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(B)) => r2_zf_model(A,k11_zf_model(B)) ) ) ) ) ) )).
fof(d12_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_zmodul01(C,A) => k5_zmodul01(A,B,C) = a_3_1_zmodul01(A,B,C) ) ) ) )).
fof(d12_zmodul02,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => k12_zmodul02(A,B) = g1_vectsp_1(k9_int_3(A),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A))),u1_algstr_0(k10_zmodul02(B,k5_zmodul02(B,A))),u2_struct_0(k10_zmodul02(B,k5_zmodul02(B,A))),k11_zmodul02(A,B)) ) ) )).
fof(d13_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_abcmiz_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k4_abcmiz_0(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ! [E] : ( m1_subset_1(E,u1_abcmiz_0(A)) => ( r2_tarski(E,B) => r2_tarski(D,k3_abcmiz_0(A,E)) ) ) ) ) ) ) ) ) )).
fof(d13_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => k12_abcmiz_1(A) = k6_abcmiz_1 ) )).
fof(d13_abcmiz_a,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v4_abcmiz_a(B,A) <=> k1_msualg_1(A,B) = k1_xboole_0 ) ) ) )).
fof(d13_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_absred_0(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r9_absred_0(A,C,B) ) ) ) ) )).
fof(d13_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v13_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & r2_hidden(D,B) & r2_hidden(E,B) & r2_hidden(F,B) & r5_aff_1(A,B,C) & r2_hidden(G,C) & r2_hidden(H,C) & r2_hidden(I,C) & r2_analoaf(A,D,H,E,G) & r2_analoaf(A,E,I,F,H) ) => ( B = C | r2_analoaf(A,D,I,F,G) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k13_afproj(A) = g1_incsp_1(k9_afproj(A),k10_afproj(A),k11_afproj(A)) ) )).
fof(d13_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_alg_1(A,k6_alg_1(A,B,C))),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_alg_1(A,k6_alg_1(A,B,C))),u1_struct_0(B)))) ) => ( D = k7_alg_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k6_alg_1(A,B,C),E)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) ) ) ) ) ) ) ) )).
fof(d13_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v9_algstr_0(B,A) & v3_algstr_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k4_algstr_0(A,B) <=> k1_algstr_0(A,C,B) = k4_struct_0(A) ) ) ) ) ) )).
fof(d13_algstr_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1)))))) ) => ( B = k10_algstr_4(A) <=> ( k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),B,k5_numbers) = k1_xboole_0 & k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),B,1) = A & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(2,C) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( k3_finseq_1(D) = k6_xcmplx_0(C,1) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k6_xcmplx_0(C,1)) ) => k1_funct_1(D,E) = k2_zfmisc_1(k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),B,E),k1_funct_1(B,k6_xcmplx_0(C,E))) ) ) & k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),B,C) = k3_card_3(k2_card_3(D)) ) ) ) ) ) ) ) )).
fof(d13_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ( v10_altcat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,C,D) = k5_relat_1(k6_altcat_1(k1_funct_2(B,C),k1_funct_2(C,D)),k2_zfmisc_1(k1_altcat_1(A,C,D),k1_altcat_1(A,B,C))) ) ) ) ) ) )).
fof(d13_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( m1_altcat_2(B,A) => ( v2_altcat_2(B,A) <=> u1_altcat_1(B) = k1_realset1(u1_altcat_1(A),u1_struct_0(B)) ) ) ) )).
fof(d13_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r6_analmetr(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & E != F & D = k3_analmetr(A,E,F) & r4_analmetr(A,B,C,E,F) ) ) ) ) ) ) ) )).
fof(d13_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( v6_anproj_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,D) & r1_collsp(A,B,C,E) & r1_collsp(A,B,F,G) & r1_collsp(A,B,F,H) & r1_collsp(A,C,G,K) & r1_collsp(A,F,D,K) & r1_collsp(A,C,H,J) & r1_collsp(A,E,F,J) & r1_collsp(A,D,H,I) & r1_collsp(A,E,G,I) ) => ( B = D | B = E | D = E | C = D | C = E | B = G | B = H | G = H | F = G | F = H | r1_collsp(A,B,C,F) | r1_collsp(A,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_unialg_1(A) ) => ( v6_aofa_000(A) <=> ( r2_tarski(4,k4_finseq_1(u1_unialg_1(A))) & ~ v1_xboole_0(k1_funct_1(u1_unialg_1(A),4)) & v1_funct_1(k1_funct_1(u1_unialg_1(A),4)) & v2_margrel1(k1_funct_1(u1_unialg_1(A),4)) & v3_margrel1(k1_funct_1(u1_unialg_1(A),4),u1_struct_0(A)) & v8_comput_1(k1_funct_1(u1_unialg_1(A),4),2) & m1_subset_1(k1_funct_1(u1_unialg_1(A),4),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) ) ) )).
fof(d13_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) ) => ( v5_aofa_a01(E,A,B,C,D) <=> r1_tarski(k10_xtuple_0(u3_aofa_a00(A,C,u4_aofa_a00(A,B,C,D),E)),k18_aofa_000(E)) ) ) ) ) ) ) )).
fof(d13_aofa_i00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k17_aofa_i00(A,B,C) <=> ( ? [E] : ( ! [F] : ( r2_tarski(F,E) <=> ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & r2_tarski(G,k9_xtuple_0(B)) & r2_tarski(F,k10_xtuple_0(G)) ) ) & ! [F] : ( r2_tarski(F,k9_xtuple_0(D)) <=> ( r2_tarski(F,k1_funct_2(A,E)) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & F = G & r2_tarski(k3_relat_1(C,G),k9_xtuple_0(B)) ) ) ) ) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k1_funct_1(B,k3_relat_1(C,E)) ) ) ) ) ) ) ) )).
fof(d13_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l4_aofa_l00(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) => ( k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,k3_card_3(B)) => ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,C))) => ( ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(F,k1_msafree4(u1_struct_0(A),B,H)) & r2_tarski(G,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),H)) ) => k7_aofa_l00(A,B,C,D,E,F,G) = k1_funct_1(u5_aofa_l00(A,B,C),k4_tarski(E,k4_tarski(F,G))) ) ) ) ) ) ) ) ) ) )).
fof(d13_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v5_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( ( r2_tarski(k6_armstrng(A,C,D),B) & r2_tarski(k6_armstrng(A,E,F),B) ) => r2_tarski(k6_armstrng(A,k4_subset_1(A,C,E),k4_subset_1(A,D,F)),B) ) ) ) ) ) ) ) )).
fof(d13_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => ( r3_arytm_3(A,B) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & B = k9_arytm_3(A,C) ) ) ) ) )).
fof(d13_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : k10_asympt_0(A,B) = a_2_1_asympt_0(A,B) ) )).
fof(d13_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k11_bagorder(A,B) <=> ( r2_tarski(C,B) & r2_waybel_4(B,C,u1_orders_2(A)) ) ) ) ) ) ) )).
fof(d13_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( B = k3_bcialg_2(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( m2_bcialg_1(D,A) & m4_bcialg_2(C,A,D) ) ) ) ) )).
fof(d13_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bcialg_4(A) ) => ( v6_bcialg_4(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_4(A,B,C) = k1_bcialg_4(A,C,B) ) ) ) ) )).
fof(d13_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_1(B,A) => ! [C] : ( ( v12_bcialg_1(C,A) & m2_bcialg_1(C,A) ) => ! [D] : ( m5_bcialg_2(D,A,C) => k8_bcialg_6(A,B,C,D) = k4_struct_0(A) ) ) ) ) )).
fof(d13_borsuk_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( A = k17_borsuk_1 <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k7_metric_1)))) => ( B = k1_rcomp_1(k5_numbers,1) => A = k1_pre_topc(k3_pcomps_1(k7_metric_1),B) ) ) ) ) )).
fof(d13_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k5_margrel1,B,C) = k7_margrel1 ) => k13_bvfunc_1(A,B) = k12_bvfunc_1(A) ) & ( ~ ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k5_margrel1,B,C) = k7_margrel1 ) => k13_bvfunc_1(A,B) = k11_bvfunc_1(A) ) ) ) ) )).
fof(d13_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k6_c0sp1(A) = a_1_0_c0sp1(A) ) )).
fof(d13_card_3,axiom,( ! [A] : ( v3_card_3(A) <=> ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & A = k4_card_3(B) ) ) )).
fof(d13_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( v4_card_fil(A) <=> ( v1_card_5(A) & v2_card_1(A) ) ) ) )).
fof(d13_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & k5_cat_1(A,B,C,D,E,F) != k1_cat_1(A,E,F) ) ) ) ) ) ) ) )).
fof(d13_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u4_struct_0(A)))) ) => ( m1_cat_3(D,A,B,C) <=> r2_funct_2(C,u1_struct_0(A),k2_cat_3(A,C,D),k8_funcop_1(u1_struct_0(A),C,B)) ) ) ) ) )).
fof(d13_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k12_cat_4(A,B) = k7_cat_4(A,B,k1_cat_4(A)) ) ) )).
fof(d13_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m2_cat_1(C,k11_cat_5(A,k3_graph_1(A,B)),k11_cat_5(A,k4_graph_1(A,B))) => ( C = k19_cat_5(A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(k11_cat_5(A,k3_graph_1(A,B)))) => k3_funct_2(u4_struct_0(k11_cat_5(A,k3_graph_1(A,B))),u4_struct_0(k11_cat_5(A,k4_graph_1(A,B))),C,D) = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,k1_cat_1(A,k14_cat_5(A,k3_graph_1(A,B),D),B),k1_cat_1(A,k15_cat_5(A,k3_graph_1(A,B),D),B)),k13_cat_5(A,k3_graph_1(A,B),D)) ) ) ) ) ) )).
fof(d13_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => k4_cat_6(A) = g1_cat_6(u1_struct_0(A),k3_cat_6(u1_struct_0(A),u1_cat_6(A))) ) )).
fof(d13_cat_7,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => k5_cat_7(A) = a_1_0_cat_7(A) ) )).
fof(d13_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( v3_msualg_1(B,k3_catalg_1(u1_struct_0(A))) & l3_msualg_1(B,k3_catalg_1(u1_struct_0(A))) ) => ( B = k13_catalg_1(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(u3_msualg_1(k3_catalg_1(u1_struct_0(A)),B),k9_catalg_1(u1_struct_0(A),C,D)) = k2_cat_1(A,C,D) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)),k8_catalg_1(u1_struct_0(A),C),B),k1_xboole_0) = k4_cat_1(A,C) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ( ( k3_graph_1(A,F) = C & k4_graph_1(A,F) = D & k3_graph_1(A,G) = D & k4_graph_1(A,G) = E ) => k1_funct_1(k5_msualg_1(k3_catalg_1(u1_struct_0(A)),k10_catalg_1(u1_struct_0(A),C,D,E),B),k2_finseq_4(u4_struct_0(A),G,F)) = k1_cat_1(A,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => k11_cgames_1(A) = k6_subset_1(k10_cgames_1(A),k1_tarski(A)) ) )).
fof(d13_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_chord(B,A) => ( v7_chord(B,A) <=> ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ! [D] : ( m2_glib_000(D,A,k4_chord(A,B,C),k21_glib_000(A,k4_chord(A,B,C))) => ! [E] : ( m1_subset_1(E,k6_glib_000(D)) => ( E = k1_funct_1(B,C) => v3_chord(E,D) ) ) ) ) ) ) ) ) )).
fof(d13_circcomb,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ! [E] : ( ( v3_msualg_1(E,k5_circcomb(C,D)) & v4_msualg_1(E,k5_circcomb(C,D)) & l3_msualg_1(E,k5_circcomb(C,D)) ) => ( E = k7_circcomb(A,B,C,D) <=> ( r8_pboole(u1_struct_0(k5_circcomb(C,D)),u3_msualg_1(k5_circcomb(C,D),E),k7_funcop_1(u1_struct_0(k5_circcomb(C,D)),B)) & k1_funct_1(u4_msualg_1(k5_circcomb(C,D),E),k4_tarski(D,C)) = C ) ) ) ) ) ) ) )).
fof(d13_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v4_msualg_1(E,A) & l3_msualg_1(E,A) ) => ! [F] : ( ( v4_msualg_1(F,B) & l3_msualg_1(F,B) ) => ( r5_circtrm1(A,B,C,D,E,F) <=> ( r4_circtrm1(A,B,C,D,E,F) & r4_circtrm1(B,A,k2_funct_1(C),k2_funct_1(D),F,E) ) ) ) ) ) ) ) ) )).
fof(d13_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( v3_clopban1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_csspace3(B,A) => v9_clvect_1(B,A) ) ) ) ) )).
fof(d13_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_closure1(C,u1_struct_0(A),B) & v2_closure1(C,u1_struct_0(A),B) & v3_closure1(C,u1_struct_0(A),B) & m2_pboole(C,u1_struct_0(A),k5_mssubfam(u1_struct_0(A),B),k5_mssubfam(u1_struct_0(A),B)) ) => ! [D] : ( ( v9_closure1(D,A) & l1_closure1(D,A) ) => ( D = k6_closure1(A,B,C) <=> ? [E] : ( m3_pboole(E,u1_struct_0(A),k1_mboolean(u1_struct_0(A),B)) & r6_pboole(u1_struct_0(A),E,k5_closure1(u1_struct_0(A),k5_mssubfam(u1_struct_0(A),B),C)) & D = g1_closure1(A,B,E) ) ) ) ) ) ) )).
fof(d13_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) ) => ( v10_closure2(C,A,B) <=> ! [D] : ( m1_closure2(D,A,B,k6_closure2(A,B)) => ! [E] : ( m1_closure2(E,A,B,k6_closure2(A,B)) => k1_funct_1(C,k2_pboole(A,D,E)) = k2_pboole(A,k7_closure2(A,B,C,D),k7_closure2(A,B,C,E)) ) ) ) ) ) )).
fof(d13_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_clvect_1(A) ) => ( v8_clvect_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xcmplx_0(D) => ( k2_normsp_0(A,k1_clvect_1(A,B,D)) = k3_xcmplx_0(k9_complex1(D),k2_normsp_0(A,B)) & r1_xxreal_0(k2_normsp_0(A,k1_algstr_0(A,B,C)),k2_xcmplx_0(k2_normsp_0(A,B),k2_normsp_0(A,C))) ) ) ) ) ) ) )).
fof(d13_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A),k5_coh_sp(A)),k5_coh_sp(A)))) ) => ( B = k12_coh_sp(A) <=> ( ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => ! [D] : ( m1_subset_1(D,k5_coh_sp(A)) => ( r2_hidden(k4_tarski(C,D),k1_relset_1(k2_zfmisc_1(k5_coh_sp(A),k5_coh_sp(A)),B)) <=> k6_coh_sp(A,C) = k7_coh_sp(A,D) ) ) ) & ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => ! [D] : ( m1_subset_1(D,k5_coh_sp(A)) => ( k6_coh_sp(A,C) = k7_coh_sp(A,D) => k1_funct_1(B,k4_tarski(C,D)) = k9_coh_sp(A,D,C) ) ) ) ) ) ) )).
fof(d13_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v8_cohsp_1(A) <=> ( v3_cohsp_1(k9_xtuple_0(A)) & v5_cohsp_1(A) ) ) ) )).
fof(d13_combgras,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | ! [C] : ( v1_finset_1(C) => ( k4_card_1(C) = k6_xcmplx_0(A,1) => k7_combgras(A,B,C) = k6_combgras(B,C) ) ) ) ) ) ) )).
fof(d13_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( v7_ordinal1(C) => ( r1_compos_1(A,B,C) <=> k3_compos_1(A,B,C) = k2_compos_1(A) ) ) ) ) )).
fof(d13_comput_1,axiom,( ! [A] : ( v5_comput_1(A) <=> ! [B] : ( m2_rfunct_3(B,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ! [C] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ! [D] : ( m2_rfunct_3(D,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_comput_1(B,C,D,E) & r2_tarski(C,A) & r2_tarski(D,A) ) => r2_tarski(B,A) ) ) ) ) ) ) )).
fof(d13_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & v7_conlat_1(B,A) & l2_conlat_1(B,A) ) => ( B = k5_conlat_1(A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(A))) & B = g2_conlat_1(A,C,D) & C = k1_funct_1(k2_conlat_1(A),k1_xboole_0) & D = k1_funct_1(k1_conlat_1(A),k1_funct_1(k2_conlat_1(A),k1_xboole_0)) ) ) ) ) ) )).
fof(d13_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k10_convex4(A)) => k11_convex4(A,B) = B ) ) )).
fof(d13_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))))) => ( C = k15_cqc_sim1(A,B) <=> ( r1_cqc_sim1(A,B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))))) => ( r1_cqc_sim1(A,B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d13_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_csspace(A) ) => ( v2_csspace(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xcmplx_0(E) => ( ( k10_csspace(A,B,B) = k5_numbers => B = k4_struct_0(A) ) & ( B = k4_struct_0(A) => k10_csspace(A,B,B) = k5_numbers ) & r1_xxreal_0(k5_numbers,k3_complex1(k10_csspace(A,B,B))) & k5_numbers = k4_complex1(k10_csspace(A,B,B)) & k10_csspace(A,B,C) = k8_complex1(k10_csspace(A,C,B)) & k10_csspace(A,k1_algstr_0(A,B,C),D) = k2_xcmplx_0(k10_csspace(A,B,D),k10_csspace(A,C,D)) & k10_csspace(A,k1_clvect_1(A,B,E),C) = k3_xcmplx_0(E,k10_csspace(A,B,C)) ) ) ) ) ) ) ) )).
fof(d13_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k8_decomp_1(A) = a_1_2_decomp_1(A) ) )).
fof(d13_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_dickson(A) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( C = k9_dickson(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> r1_dickson(A,B,D) ) ) ) ) ) ) )).
fof(d13_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_dilworth(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( v5_dilworth(D,k5_yellow_0(A,C)) & m1_eqrel_1(D,u1_struct_0(k5_yellow_0(A,C))) & r1_xxreal_0(k4_card_1(D),k2_dilworth(A)) & ? [E] : ( r2_tarski(E,D) & r1_tarski(k9_subset_1(u1_struct_0(A),C,B),E) & ! [F] : ( r2_tarski(F,D) => ( F = E | k8_subset_1(u1_struct_0(A),B,F) = k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(d13_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => k11_dist_1(A) = k4_dist_1(A,k19_finseq_1(A)) ) )).
fof(d13_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m4_dist_2(C,A,B) => k10_dist_2(A,B,C) = k6_dist_2(A,B,k7_dist_2(A,C)) ) ) ) )).
fof(d13_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(B,k4_dtconstr(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( C = k17_dtconstr(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_dtconstr(A),k3_finseq_2(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(A),k3_finseq_2(u1_struct_0(A))))) & C = k1_funct_1(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,k1_lang1(A)) => k1_funct_1(D,k2_trees_4(u1_struct_0(A),E)) = k3_pre_poly(u1_struct_0(A),E) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ( ( G = k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),F) & r1_lang1(A,E,G) ) => ! [H] : ( m2_finseq_1(H,k3_finseq_2(u1_struct_0(A))) => ( H = k4_finseqop(k4_dtconstr(A),k3_finseq_2(u1_struct_0(A)),F,D) => k1_funct_1(D,k8_trees_4(u1_struct_0(A),E,F)) = k1_pre_poly(u1_struct_0(A),k5_pre_poly(u1_struct_0(A),H),k3_pre_poly(u1_struct_0(A),E)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k15_dualsp01(A,B) = a_2_0_dualsp01(A,B) ) ) )).
fof(d13_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k11_e_siec(A) = k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))) ) )).
fof(d13_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k11_ens_1(A) = g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A)) ) )).
fof(d13_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ( r1_euclid_3(A,k5_algstr_0(k15_euclid(A),C,B),k5_algstr_0(k15_euclid(A),D,B)) & r2_tarski(E,k9_euclid_3(A,B,C,D)) ) => ! [F] : ( v1_xreal_0(F) => ( F = k12_euclid_3(A,B,C,D,E) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & k2_xcmplx_0(k2_xcmplx_0(G,H),F) = 1 & E = k3_rlvect_1(k15_euclid(A),k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,G),k1_rlvect_1(k15_euclid(A),C,H)),k1_rlvect_1(k15_euclid(A),D,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => k8_euclid_7(A) = a_1_0_euclid_7(A) ) )).
fof(d13_exchsort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ! [C] : ! [D] : k7_exchsort(A,B,C,D) = k1_funct_4(k15_funct_3(k9_funct_7(k6_partfun1(k9_xtuple_0(B)),C,D),k9_funct_7(k6_partfun1(k9_xtuple_0(B)),C,D)),k6_partfun1(k2_xboole_0(k2_zfmisc_1(k1_tarski(C),k6_subset_1(k1_ordinal1(D),C)),k2_zfmisc_1(k6_subset_1(k1_ordinal1(D),C),k1_tarski(D))))) ) ) )).
fof(d13_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) => ( m1_extpro_1(D,A,B,C) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_finset_1(E) ) => ( E = k7_extpro_1(A,B,C,D) <=> ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(B)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( r1_tarski(C,F) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(B)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(A,B)) & v1_partfun1(G,u1_struct_0(B)) ) => ( r1_tarski(D,G) => E = k5_relat_1(k6_extpro_1(A,B,F,G),k9_xtuple_0(D)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => k9_facirc_1(A,B,C,D) = k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A,B),D),C),D) ) )).
fof(d13_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k13_ff_siec(A) = k5_relat_1(k1_net_1(A),u4_struct_0(A)) ) )).
fof(d13_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_fin_topo(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_fin_topo(A,B)) => r2_tarski(B,k1_fin_topo(A,C)) ) ) ) ) ) )).
fof(d13_finseq_1,axiom,( ! [A] : ( ? [B] : ( v7_ordinal1(B) & r1_tarski(A,k2_finseq_1(B)) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( B = k14_finseq_1(A) <=> ( k10_xtuple_0(B) = A & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(D,k3_finseq_1(B)) & E = k1_funct_1(B,C) & F = k1_funct_1(B,D) & r1_xxreal_0(F,E) ) ) ) ) ) ) ) ) ) )).
fof(d13_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k12_fintopo2(A,B) = k7_subset_1(u1_struct_0(A),B,k11_fintopo2(A,B)) ) ) )).
fof(d13_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ! [D] : ( ( v15_fomodel1(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k12_fomodel2(A,B,C,D) = k1_funct_1(k11_fomodel2(A,B,C,k10_fomodel2(A,B,C),k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D)),k3_relat_1(k34_fomodel1(A,D),k9_fomodel2(A,B,C))) ) ) ) ) )).
fof(d13_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k8_eqrel_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k8_eqrel_1(A,B)))) ) => ( C = k17_fomodel3(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k3_funct_2(A,k8_eqrel_1(A,B),C,D) = k9_eqrel_1(A,B,D) ) ) ) ) ) )).
fof(d13_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_freealg(B) ) => k8_freealg(A,B) = a_2_0_freealg(A,B) ) ) )).
fof(d13_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( v7_ordinal1(D) => k7_fsm_1(A,B,C,D) = k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,D)) ) ) ) ) )).
fof(d13_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k13_ftacell1(A,B,C,D,E) = k2_circcomb(k37_gfacirc1(A,B,C),k25_gfacirc1(k36_gfacirc1(A,B,C),E,D)) )).
fof(d13_funct_1,axiom,( ! [A] : ( v4_funct_1(A) <=> ! [B] : ( r2_hidden(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(d13_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( r2_tarski(D,A) => k10_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ) ) ) )).
fof(d13_funct_7,axiom,( ! [A] : ! [B] : k10_funct_7(A,B) = k1_funct_7(k7_funcop_1(k4_ordinal1,B),k5_numbers,A) )).
fof(d13_functor0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( l1_functor0(C,A,B) => ( v11_functor0(C,A,B) <=> v2_functor0(u1_functor0(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d13_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => k8_fvaluat1(A,B) = a_2_2_fvaluat1(A,B) ) ) ) )).
fof(d13_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & k13_gate_1(A,B,C) != k1_gate_1(k1_xboole_0) ) & ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) ) => k13_gate_1(A,B,C) = k1_xboole_0 ) ) )).
fof(d13_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k13_gate_5(A,B,C,D,E,F) = k38_gate_1(k7_gate_5(A,B,C,D,E),k2_gate_1(A,F),k8_gate_5(A,B,C,D,E),k2_gate_1(B,F),k9_gate_5(A,B,C,D,E),k2_gate_1(C,F),k1_xboole_0) )).
fof(d13_gaussint,axiom,( k10_gaussint = k1_realset1(k5_binop_2,k8_gaussint) )).
fof(d13_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v3_gcd_1(A) & l4_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r5_gcd_1(A,B,C,D) <=> k5_gcd_1(A,B,C,D) = k5_struct_0(A) ) ) ) ) ) )).
fof(d13_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v3_geomtrap(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,C,D) => ( B = C & C = D ) ) & ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,C,H,I) ) => ( B = C | r2_analoaf(A,F,G,H,I) ) ) & ( r2_analoaf(A,B,C,D,E) => ( r2_analoaf(A,D,E,B,C) & r2_analoaf(A,C,B,E,D) ) ) & ~ ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ~ r2_analoaf(A,B,C,D,L) & ~ r2_analoaf(A,B,C,L,D) ) ) & ~ ( r2_analoaf(A,B,C,D,J) & r2_analoaf(A,B,C,D,K) & B != C & J != K ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k13_gfacirc1(A,B,C) = k2_circcomb(k10_gfacirc1(A,B,C),k7_gfacirc1(A,B,C)) )).
fof(d13_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,B,C,D) <=> ( r2_hidden(D,k7_glib_000(A)) & ( ( k1_funct_1(k10_glib_000(A),D) = B & k1_funct_1(k11_glib_000(A),D) = C ) | ( k1_funct_1(k10_glib_000(A),D) = C & k1_funct_1(k11_glib_000(A),D) = B ) ) ) ) ) )).
fof(d13_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : k10_glib_001(A,B,C) = k7_glib_001(A,B,k2_glib_001(A,k4_glib_001(A,B),k29_glib_000(A,k4_glib_001(A,B),C),C)) ) ) )).
fof(d13_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k7_glib_000(A))) => ( C = k12_glib_004(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r3_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B),k6_subset_1(k6_glib_000(A),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B)),D) & ! [E] : ( r3_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B),k6_subset_1(k6_glib_000(A),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B)),E) => r1_xxreal_0(k1_funct_1(k5_glib_003(A),D),k1_funct_1(k5_glib_003(A),E)) ) ) ) ) ) ) ) )).
fof(d13_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => k6_glib_005(A,B,C) = k40_glib_000(k5_glib_005(A,B,C)) ) ) ) )).
fof(d13_graph_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( v7_ordinal1(B) => ( r4_graph_2(A,B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,B) & r1_xxreal_0(D,k3_finseq_1(A)) ) => ( r1_xxreal_0(D,B) | r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,D)) ) ) ) ) ) ) ) )).
fof(d13_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) => ~ ( k10_xtuple_0(B) != u4_struct_0(A) & ~ v1_xboole_0(B) & ~ ! [C] : ( m2_finseq_2(C,u4_struct_0(A),k9_graph_3(A)) => ( C = k14_graph_3(A,B) <=> ? [D] : ( m2_finseq_2(D,u4_struct_0(A),k9_graph_3(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & E = o_2_1_graph_3(A,B) & D = o_3_5_graph_3(A,B,E) & C = k11_graph_3(A,B,D) ) ) ) ) ) ) ) )).
fof(d13_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r5_graph_5(A,B) <=> ( v1_funct_1(B) & v1_funct_2(B,u4_struct_0(A),k8_graph_5) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k8_graph_5))) ) ) ) ) )).
fof(d13_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ( r1_graphsp(A,B,C) <=> ( ~ ( k1_funct_1(C,k2_xcmplx_0(A,B)) != k4_xcmplx_0(1) & r1_xxreal_0(k7_partfun1(k1_numbers,C,k2_xcmplx_0(k3_xcmplx_0(2,A),B)),k16_graphsp(C,A,B)) ) & r1_xxreal_0(k5_numbers,k7_partfun1(k1_numbers,C,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,A),k3_xcmplx_0(A,k7_partfun1(k1_numbers,C,k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A)),1)))),B))) & k1_funct_1(C,B) != k4_xcmplx_0(1) ) ) ) ) ) )).
fof(d13_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( v2_grcat_1(A) <=> v13_vectsp_1(k9_grcat_1(A),k7_grcat_1(A),k8_grcat_1(A)) ) ) )).
fof(d13_group_1,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( l3_algstr_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v6_group_1(C,A,B) <=> k1_funct_1(C,k1_group_1(A)) = k1_group_1(B) ) ) ) ) )).
fof(d13_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ( ( ~ v1_xboole_0(B) => k12_group_10(A,B,C) = a_3_0_group_10(A,B,C) ) & ( v1_xboole_0(B) => k12_group_10(A,B,C) = k1_subset_1(B) ) ) ) ) )).
fof(d13_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k13_group_2(A,B,C) = k4_group_2(A,C,k8_group_2(A,B)) ) ) ) )).
fof(d13_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( v1_group_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_group_3(A,B,C) = g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) ) ) ) ) )).
fof(d13_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ( v6_group_9(B,A) <=> ( ~ v7_struct_0(B) & ! [C] : ( ( v2_group_9(C,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ~ ( C != k5_group_9(A,B) & C != k4_group_9(A,B) ) ) ) ) ) )).
fof(d13_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v5_hahnban1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k3_vectsp_1(k1_complfld,A,k1_hahnban1(D,k5_numbers),C)) = k3_xcmplx_0(D,k3_funct_2(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) )).
fof(d13_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( m2_huffman1(C,A,B) <=> ? [D] : ( m1_trees_4(D,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) & ? [E] : ( m2_finseq_1(E,k4_ordinal1) & r1_huffman1(A,B,D,E) & k1_tarski(C) = k1_funct_1(D,k3_finseq_1(D)) ) ) ) ) ) ) )).
fof(d13_idea_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( B = k13_idea_1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k1_recdef_1(B,C) = k16_funcop_1(k4_ordinal1,C,2,k1_recdef_1(A,3),k16_funcop_1(k4_ordinal1,C,3,k1_recdef_1(A,2),k1_recdef_1(A,C))) ) ) ) ) ) ) )).
fof(d13_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m3_ideal_1(C,A,B) => ! [D] : ( m2_finseq_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( r3_ideal_1(A,B,C,D) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( r2_tarski(E,k1_relset_1(k4_ordinal1,C)) => ( k1_funct_1(C,E) = k6_algstr_0(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E)),k3_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E))) & r2_tarski(k2_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E)),B) ) ) ) ) ) ) ) ) )).
fof(d13_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v9_incproj(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u1_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u1_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(A)) => ! [R] : ( m1_subset_1(R,u2_incsp_1(A)) => ! [S] : ( m1_subset_1(S,u2_incsp_1(A)) => ! [T] : ( m1_subset_1(T,u2_incsp_1(A)) => ~ ( r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,F,E),M) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,H,G),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,F,K),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,I,D),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,J,D),Q) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),K,E,G),R) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,I,G),S) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,J,E),T) & r1_zfmisc_1(L,M,N) & B != D & B != F & B != H & B != C & B != E & B != G & D != C & F != E & H != G & ! [U] : ( m1_subset_1(U,u2_incsp_1(A)) => ~ r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),I,J,K),U) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v10_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u4_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u4_incsp_1(A)) => ( ( r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) & r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),F) ) => ( v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A) | E = F ) ) ) ) ) ) ) ) ) )).
fof(d13_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v2_integra1(B,A) <=> v4_xxreal_2(k1_rvsum_1(k9_integra1(A,B))) ) ) ) )).
fof(d13_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))),k8_mcart_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)))) => m2_interva1(B,A) ) ) )).
fof(d13_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => k6_intpro_1(A) = k7_finseq_1(k12_finseq_1(k4_ordinal1,6),A) ) )).
fof(d13_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k13_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k25_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d13_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_finseq_2(A),k3_finseq_2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(B)))) ) => ( D = k12_lang1(A,B,C) <=> ! [E] : ( m2_finseq_2(E,A,k3_finseq_2(A)) => k3_funct_2(k3_finseq_2(A),k3_finseq_2(B),D,E) = k11_lang1(A,B,E,C) ) ) ) ) ) ) )).
fof(d13_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v5_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,B,E) & r1_orders_2(A,C,E) ) => r1_orders_2(A,D,E) ) ) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k10_lattice3(A,B,C) <=> ( r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,B,E) & r1_orders_2(A,C,E) ) => r1_orders_2(A,D,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) & v1_funct_1(D) & v5_ordinal1(D) ) => ( m1_lattice5(D,A,B,C) <=> ( v1_card_1(k9_xtuple_0(D)) & v2_funct_1(D) & k2_relset_1(k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B)),D) = a_3_0_lattice5(A,B,C) ) ) ) ) ) ) )).
fof(d13_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v8_lattice6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & C = k15_lattice3(A,D) ) ) ) ) ) )).
fof(d13_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ( v13_lattices(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_lattices(A,B,C) = B & k2_lattices(A,C,B) = B ) ) ) ) ) )).
fof(d13_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( v7_ordinal1(D) => k11_lexbfs(A,B,C,D) = k4_tarski(k1_funct_4(k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B),k17_funcop_1(C,k7_nat_d(k15_glib_000(A),D))),k1_lexbfs(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),B),k4_rfunct_3(k6_glib_000(A),k1_zfmisc_1(k4_ordinal1),k2_finsub_1(k1_zfmisc_1(k6_glib_000(A)),k2_chord(A,k6_domain_1(k6_glib_000(A),C)),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B))),k6_domain_1(k4_ordinal1,k7_nat_d(k15_glib_000(A),D))))) ) ) ) ) )).
fof(d13_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v6_limfunc1(A) => ! [B] : ( v1_xreal_0(B) => ( B = k5_limfunc1(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_limfunc1(C) & r1_tarski(k10_xtuple_0(C),k1_relset_1(k1_numbers,A)) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) = B ) ) ) ) ) ) ) )).
fof(d13_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k8_lmod_7(A,B,C,D) = k3_vectsp_4(A,B,D,C) ) ) ) ) )).
fof(d13_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k10_lopban_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A,B),k1_numbers))) ) => ( C = k15_lopban_1(A,B) <=> ! [D] : ( r2_hidden(D,k10_lopban_1(A,B)) => k1_funct_1(C,D) = k2_seq_4(k14_lopban_1(A,B,k13_lopban_1(A,B,D))) ) ) ) ) ) )).
fof(d13_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k16_lpspacc1(A,B,C) = g1_clvect_1(k15_lpspacc1(A,B,C),k10_subset_1(k4_struct_0(k14_lpspacc1(A,B,C)),k15_lpspacc1(A,B,C)),k1_ideal_1(k14_lpspacc1(A,B,C),k15_lpspacc1(A,B,C)),k6_lpspacc1(k14_lpspacc1(A,B,C),k15_lpspacc1(A,B,C))) ) ) ) )).
fof(d13_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k13_lpspace1(A,B,C,D) = a_4_0_lpspace1(A,B,C,D) ) ) ) ) )).
fof(d13_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => k12_lpspace2(A,B,C,D) = g1_normsp_1(u1_struct_0(k10_lpspace2(A,B,C,D)),u2_struct_0(k10_lpspace2(A,B,C,D)),u1_algstr_0(k10_lpspace2(A,B,C,D)),u1_rlvect_1(k10_lpspace2(A,B,C,D)),k11_lpspace2(A,B,C,D)) ) ) ) ) )).
fof(d13_ltlaxio1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( r2_ltlaxio1(A,B) <=> ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( r2_tarski(C,B) => r1_ltlaxio1(A,C) ) ) ) ) ) )).
fof(d13_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [B] : ( m3_ltlaxio4(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_xtuple_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_xtuple_0(B)))) ) => ( m4_ltlaxio4(C,A,B) <=> ( k3_funct_2(k4_ordinal1,k9_xtuple_0(B),C,k5_numbers) = k1_xboole_0 & ! [D] : ( v7_ordinal1(D) => r2_tarski(k3_funct_2(k4_ordinal1,k9_xtuple_0(B),C,k1_nat_1(D,1)),k1_trees_2(k9_xtuple_0(B),k8_nat_1(k9_xtuple_0(B),C,D))) ) ) ) ) ) ) )).
fof(d13_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(B)) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(B)) ) => ( D = k16_matrix_0(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => k1_funct_1(D,E) = k2_finseq_3(A,k7_matrix_0(B,C,E)) ) ) ) ) ) ) ) ) )).
fof(d13_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v15_algstr_0(B) & l3_algstr_0(B) ) => ( B = k10_matrix_1(A) <=> ( u1_struct_0(B) = k9_matrix_1(A) & ! [C] : ( m1_matrix_1(C,k9_matrix_1(A)) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(A)) => k1_binop_1(u2_algstr_0(B),C,D) = k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),C,D) ) ) ) ) ) ) )).
fof(d13_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m1_matroid0(B,A) <=> r1_matroid0(A,B,k2_struct_0(A)) ) ) ) )).
fof(d13_mcart_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k12_mcart_1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k2_xtuple_0(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d13_measure6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v6_measure6(B,A) <=> v1_xxreal_2(k7_relset_1(A,k1_numbers,B,A)) ) ) )).
fof(d13_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k16_member_1(A,B) = k8_member_1(k1_tarski(B),A) ) ) )).
fof(d13_membered,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ( A = B <=> ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) <=> r2_hidden(C,B) ) ) ) ) ) )).
fof(d13_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => k8_memstr_0(A,B,C) = k1_funct_4(C,k7_memstr_0(A,B,k5_numbers)) ) ) ) )).
fof(d13_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r1_mesfun7c(A,B,C) <=> ? [D] : ( v1_prob_2(D) & m2_finseq_1(D,B) & k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(E,k4_finseq_1(D)) & r2_tarski(F,k1_funct_1(D,E)) & r2_tarski(G,k1_funct_1(D,E)) ) => k1_funct_1(C,F) = k1_funct_1(C,G) ) ) ) ) ) ) ) ) ) )).
fof(d13_mesfunc1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( C = k13_mesfunc1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k9_xtuple_0(A)) & r1_xxreal_0(B,k1_funct_1(A,D)) ) ) ) ) ) )).
fof(d13_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( D = k3_mesfunc5(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k6_numbers,D,E) = k12_supinf_2(k1_seqfunc(A,k6_numbers,B,E),C) ) ) ) ) ) ) )).
fof(d13_metric_1,axiom,( k7_metric_1 = g1_metric_1(k1_numbers,k6_metric_1) )).
fof(d13_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_metric_2(A),k2_metric_2(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_metric_2(A),k2_metric_2(A)),k1_numbers))) ) => ( B = k10_metric_2(A) <=> ! [C] : ( m1_subset_1(C,k2_metric_2(A)) => ! [D] : ( m1_subset_1(D,k2_metric_2(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(E,C) & r2_tarski(F,D) ) => k2_binop_1(k2_metric_2(A),k2_metric_2(A),k1_numbers,B,C,D) = k3_metric_1(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d13_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers))) ) => ( D = k13_metric_3(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ! [K] : ( m1_subset_1(K,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ! [L] : ( m1_subset_1(L,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ( ( K = k4_domain_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,G,I) & L = k4_domain_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),F,H,J) ) => k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,D,K,L) = k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k3_metric_1(A,E,F)),k1_square_1(k3_metric_1(B,G,H))),k1_square_1(k3_metric_1(C,I,J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k10_midsp_1(A)) => ! [C] : ( m1_subset_1(C,k10_midsp_1(A)) => ! [D] : ( m1_subset_1(D,k10_midsp_1(A)) => ( D = k11_midsp_1(A,B,C) <=> ! [E] : ( m1_midsp_1(E,A) => ! [F] : ( m1_midsp_1(F,A) => ( ( B = E & C = F ) => D = k7_midsp_1(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d13_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( l1_midsp_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k9_midsp_2(A,B,C,D) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(u1_midsp_2(A,B)),u2_midsp_2(A,B),C,D) ) ) ) ) )).
fof(d13_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( v7_ordinal1(D) => k13_mmlquery(A,B,C,D) = a_4_8_mmlquery(A,B,C,D) ) ) ) )).
fof(d13_mod_2,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) => ! [B] : ( m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) => ( ( A = k5_numbers => k11_mod_2(A,B) = B ) & ( B = k5_numbers => k11_mod_2(A,B) = A ) & ( ( A = 1 & B = 1 ) => k11_mod_2(A,B) = 2 ) & ( ( A = 1 & B = 2 ) => k11_mod_2(A,B) = k5_numbers ) & ( ( A = 2 & B = 1 ) => k11_mod_2(A,B) = k5_numbers ) & ( ( A = 2 & B = 2 ) => k11_mod_2(A,B) = 1 ) ) ) ) )).
fof(d13_modelc_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( v1_modelc_1(A) <=> m1_subset_1(A,k12_modelc_1) ) ) )).
fof(d13_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => k7_modelc_3(A) = k1_xboole_0 ) )).
fof(d13_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v10_monoid_0(A) <=> v3_binop_1(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d13_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_pboole(C,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),k3_relat_1(u2_msualg_1(A),k8_msafree(A,B))) => ( C = k10_msafree(A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => r6_pboole(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),D),k1_msualg_3(u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),k3_relat_1(u2_msualg_1(A),k8_msafree(A,B)),C,D),k9_msafree(A,B,D)) ) ) ) ) ) )).
fof(d13_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v5_msafree2(A) <=> ! [B] : ( ( v4_msualg_1(B,A) & v3_msafree2(B,A) & l3_msualg_1(B,A) ) => v4_msafree2(B,A) ) ) ) )).
fof(d13_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m3_pboole(B,u1_struct_0(A),k4_equation(A)) => ! [C] : ( l3_msualg_1(C,A) => ( v11_msafree4(C,A,B) <=> ? [D] : ( m1_msafree(D,A,C) & v10_msafree4(D,A,C,B) ) ) ) ) ) )).
fof(d13_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ( ? [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & r1_msualg_3(A,B,C,D) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( m1_msafree5(D,A,B,C) <=> r1_msualg_3(A,B,C,D) ) ) ) ) ) ) )).
fof(d13_msualg_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k11_msualg_1(A,B) = u4_msualg_1(A,B) ) ) )).
fof(d13_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( E = k8_msualg_2(A,B,C,D) <=> ! [F] : ( r2_hidden(F,E) <=> ? [G] : ( m3_pboole(G,u1_struct_0(A),u3_msualg_1(A,B)) & r2_tarski(G,k5_msualg_2(A,B,C)) & F = k1_funct_1(G,D) ) ) ) ) ) ) ) )).
fof(d13_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( m2_pboole(D,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,B,C))),k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,B,C))) => ( D = k12_msualg_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,B,C))),E),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,B,C)),E),k5_msualg_4(A,k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,B,C))),k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,B,C)),D,E),k11_msualg_4(A,E,B,C)) ) ) ) ) ) ) )).
fof(d13_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ! [D] : ( ( v3_msualg_6(D,A,B) & v4_msualg_6(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( D = k8_msualg_6(A,B,C) <=> ( r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( ( v3_msualg_6(E,A,B) & v4_msualg_6(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( r2_pboole(u1_struct_0(A),C,E) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) ) ) ) )).
fof(d13_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_nattra_1(E,A,B,C,D) => ( ( r2_nattra_1(A,B,C,D) & v1_nattra_1(E,A,B,C,D) ) => k7_nattra_1(A,B,C,D,E) = k6_nattra_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d13_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( r9_ncfcont1(A,B,C,D) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) => r3_ncfcont1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) )).
fof(d13_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ! [C] : ( C = k10_net_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r1_tarski(D,k2_net_1(A)) & ? [E] : ( m1_subset_1(E,k2_net_1(A)) & r2_tarski(E,B) & D = k5_net_1(A,E) ) ) ) ) ) )).
fof(d13_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => k11_normsp_3(A,B) = a_2_0_normsp_3(A,B) ) ) )).
fof(d13_numpoly1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k10_numpoly1 <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k7_xcmplx_0(1,k1_numpoly1(B)) ) ) ) )).
fof(d13_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v12_o_ring_1(B,A) <=> ( k3_finseq_1(B) != k5_numbers & ! [C] : ( v7_ordinal1(C) => ~ ( C != k5_numbers & r1_xxreal_0(C,k3_finseq_1(B)) & ~ v9_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ( k7_partfun1(u1_struct_0(A),B,C) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),B,D),k7_partfun1(u1_struct_0(A),B,E)) | k7_partfun1(u1_struct_0(A),B,C) = k1_algstr_0(A,k7_partfun1(u1_struct_0(A),B,D),k7_partfun1(u1_struct_0(A),B,E)) ) & D != k5_numbers & ~ r1_xxreal_0(C,D) & E != k5_numbers & ~ r1_xxreal_0(C,E) ) ) ) ) ) ) ) ) ) )).
fof(d13_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k13_oppcat_1(A) = k10_oppcat_1(A,A,k10_cat_1(A)) ) )).
fof(d13_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r7_orders_1(A,B) <=> ( r2_tarski(B,k1_relat_1(A)) & ! [C] : ~ ( r2_tarski(C,k1_relat_1(A)) & C != B & r2_hidden(k4_tarski(C,B),A) ) ) ) ) )).
fof(d13_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m2_orders_1(B,k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) => ! [C] : ( C = k4_orders_2(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> m2_orders_2(D,A,B) ) ) ) ) )).
fof(d13_ordinal1,axiom,( k5_ordinal1 = k1_xboole_0 )).
fof(d13_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ( v3_ordinal2(A) <=> ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(B,k9_xtuple_0(A)) & v4_ordinal1(B) & C = k1_funct_1(A,B) ) => ( B = k5_ordinal1 | r1_ordinal2(C,k5_relat_1(A,B)) ) ) ) ) ) ) )).
fof(d13_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_trees_4(C,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [D] : ( m2_finseq_2(D,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( D = k11_osafree(A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ( m1_dtconstr(F,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ~ ( F = k1_funct_1(C,E) & k1_funct_1(D,E) = k10_osafree(A,B,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & l3_osalg_1(A) ) => ( v10_osalg_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => v9_osalg_1(B,A) ) ) ) )).
fof(d13_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v12_osalg_1(C,A) & m1_msualg_2(C,A,B) ) => ! [D] : ( ( v12_osalg_1(D,A) & m1_msualg_2(D,A,B) ) => ! [E] : ( ( v3_msualg_1(E,A) & v12_osalg_1(E,A) & m1_msualg_2(E,A,B) ) => ( E = k11_osalg_2(A,B,C,D) <=> ! [F] : ( m2_osalg_2(F,A,B) => ( r8_pboole(u1_struct_0(A),F,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D))) => E = k10_osalg_2(A,B,F) ) ) ) ) ) ) ) ) )).
fof(d13_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_osalg_4(D,A,C) ) => ! [E] : ( m1_subset_1(E,k3_msualg_1(A,B,C)) => ! [F] : ( m1_subset_1(F,k4_card_3(k3_relat_1(k1_msualg_1(A,B),k7_osalg_4(A,C,D)))) => ( F = k9_osalg_4(A,B,C,D,E) <=> ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(k1_msualg_1(A,B))) & ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),G))) => ~ ( H = k1_funct_1(E,G) & k1_funct_1(F,G) = k8_osalg_4(A,C,D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),G),H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v2_relat_1(B) <=> ! [C] : ~ ( r2_hidden(C,A) & v1_xboole_0(k1_funct_1(B,C)) ) ) ) )).
fof(d13_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r4_pdiff_1(A,B,C,D,E) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & ? [G] : ( m1_subset_1(G,u1_struct_0(k4_real_ns1(A))) & D = F & E = G & r2_pdiff_1(B,A,C,F,G) ) ) ) ) ) ) ) ) )).
fof(d13_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r4_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k4_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,D) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,k1_pdiff_3(2,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(2,3,A),B),J),k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(2,3,A),B),D)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,D)),k1_funct_1(I,k6_xcmplx_0(J,D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k12_petri(A,B) = B ) ) )).
fof(d13_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_petri_2(D,u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_petri_3(A,B,C,D,E) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_petri_2(A),k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) => ( G = k8_petri_3(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_petri_2(A)) => ( ( ( r2_tarski(F,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D)) & H = k1_funct_1(E,F) ) => k6_petri_3(A,G,H) = k6_xcmplx_0(k6_petri_3(A,k5_petri_3(A,B,F),H),1) ) & ( ~ ( r2_tarski(F,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D)) & H = k1_funct_1(E,F) ) => k6_petri_3(A,G,H) = k6_petri_3(A,k5_petri_3(A,B,F),H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ( r2_petri_df(A,B,C) <=> ~ ( C != k1_xboole_0 & ! [D] : ( m2_finseq_1(D,k4_petri_df(A)) => ~ ( k3_finseq_1(C) = k3_finseq_1(D) & r1_petri_df(A,B,k7_partfun1(u4_struct_0(A),C,1)) & k7_partfun1(k4_petri_df(A),D,1) = k6_petri_df(A,B,k7_partfun1(u4_struct_0(A),C,1)) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),E) & ~ r1_xxreal_0(E,k5_numbers) & ~ ( r1_petri_df(A,k7_partfun1(k4_petri_df(A),D,E),k7_partfun1(u4_struct_0(A),C,k1_nat_1(E,1))) & k7_partfun1(k4_petri_df(A),D,k1_nat_1(E,1)) = k6_petri_df(A,k7_partfun1(k4_petri_df(A),D,E),k7_partfun1(u4_struct_0(A),C,k1_nat_1(E,1))) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(B))) => k11_pnproc_1(A,B,C,D) = a_4_1_pnproc_1(A,B,C,D) ) ) ) )).
fof(d13_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,k5_polyform(A,k6_xcmplx_0(B,1))) => ! [D] : ( m1_subset_1(D,k5_polyform(A,B)) => ( ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,k4_polyform(A)) ) => k13_polyform(A,B,C,D) = k1_binop_1(k6_polyform(A,B),C,D) ) ) ) ) ) )).
fof(d13_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k10_polynom5(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k2_polynom4(A,B,D) ) ) ) ) ) )).
fof(d13_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C))))) => ( E = k3_polyred(A,B,C,D) <=> ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_hidden(k4_tarski(F,G),E) <=> r5_polyred(A,B,C,F,G,D) ) ) ) ) ) ) ) ) ) )).
fof(d13_pralg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( C = k12_pralg_1(A,B) <=> ! [D] : ~ ( r2_tarski(D,A) & ! [E] : ( l1_struct_0(E) => ~ ( E = k1_funct_1(B,D) & k1_funct_1(C,D) = u1_struct_0(E) ) ) ) ) ) ) )).
fof(d13_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m2_pboole(D,u4_struct_0(B),k3_relat_1(u1_msualg_1(B),k6_finseq_2(u1_struct_0(B),k10_pralg_2(A,B,C))),k3_relat_1(u2_msualg_1(B),k10_pralg_2(A,B,C))) => ( ( A != k1_xboole_0 => ( D = k13_pralg_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => k1_funct_1(D,E) = k15_funcop_1(k1_msualg_1(B,E),k1_xboole_0,k9_funct_6(k12_pralg_2(A,B,C,E)),k1_pralg_2(k2_pralg_2(k12_pralg_2(A,B,C,E)))) ) ) ) & ( A = k1_xboole_0 => D = k13_pralg_2(A,B,C) ) ) ) ) ) )).
fof(d13_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_normsp_1(B) & l1_normsp_1(B) ) => ( B = k14_prvect_2(A) <=> ( g1_rlvect_1(u1_struct_0(B),u2_struct_0(B),u1_algstr_0(B),u1_rlvect_1(B)) = k10_prvect_2(A) & r1_funct_2(u1_struct_0(B),k1_numbers,k4_card_3(k4_prvect_2(A)),k1_numbers,u1_normsp_0(B),k13_prvect_2(A)) ) ) ) ) )).
fof(d13_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k12_pscomp_1(A) = k19_euclid(k8_pscomp_1(A),k7_pscomp_1(A)) ) )).
fof(d13_pua2mss1,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( l1_msualg_1(B) => ( r4_pua2mss1(A,B) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & r3_pua2mss1(B,A,C,D) & k10_xtuple_0(C) = u1_struct_0(A) & k10_xtuple_0(D) = u4_struct_0(A) ) ) ) ) ) )).
fof(d13_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k11_qc_lang1(A,B) = B ) ) )).
fof(d13_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v4_qc_lang2(B,A) <=> ? [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) & ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k5_qc_lang2(A,C,D) ) ) ) ) ) )).
fof(d13_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A)),k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))))) => ( B = k10_qmax_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k5_qmax_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k5_qmax_1(A))) => ( r2_tarski(k1_domain_1(k1_zfmisc_1(k5_qmax_1(A)),k1_zfmisc_1(k5_qmax_1(A)),C,D),B) <=> ( r2_tarski(C,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) & r2_tarski(D,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) & ! [E] : ( m1_subset_1(E,k5_qmax_1(A)) => ! [F] : ( m1_subset_1(F,k5_qmax_1(A)) => ( ( r2_tarski(E,C) & r2_tarski(F,D) ) => r3_qmax_1(A,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d13_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v15_quantal1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_lattices(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,C)),k15_lattice3(A,a_3_4_quantal1(A,B,C))) ) ) ) ) )).
fof(d13_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( ( r2_tarski(A,k2_numbers) => ( B = k13_quaterni(A) <=> ? [C] : ( v1_xcmplx_0(C) & A = C & B = k4_complex1(C) ) ) ) & ( ~ r2_tarski(A,k2_numbers) => ( B = k13_quaterni(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,4,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(4,k1_numbers))) & A = C & B = k1_funct_1(C,1) ) ) ) ) ) )).
fof(d13_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)))) ) => ( B = k16_quofield(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k4_binop_1(k7_quofield(A),B,C,D) = k9_quofield(A,C,D) ) ) ) ) ) )).
fof(d13_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(A)) ) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k3_radix_1(A)) ) => ( ( r2_tarski(B,k2_finseq_1(C)) & r1_xxreal_0(2,A) ) => k13_radix_1(A,B,C,D,E) = k2_xcmplx_0(k12_radix_1(k2_xcmplx_0(k4_radix_1(B,A,C,D),k4_radix_1(B,A,C,E)),A),k11_radix_1(k2_xcmplx_0(k4_radix_1(k7_nat_d(B,1),A,C,D),k4_radix_1(k7_nat_d(B,1),A,C,E)))) ) ) ) ) ) ) )).
fof(d13_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( C = k9_random_3(A,B) <=> ( k1_funct_1(C,k5_numbers) = k8_random_3(A,B,k5_numbers) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k1_nat_1(D,1)) = k2_random_2(k1_funct_1(k5_random_3(A),D),k1_funct_1(A,k1_nat_1(D,1)),k6_random_3(k1_funct_1(k5_random_3(A),D),k1_random_1(k1_funct_1(k5_random_3(A),D)),k1_funct_1(C,D)),k8_random_3(A,B,k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(d13_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l5_algstr_0(A) ) => k7_ratfunc1(A) = k3_ratfunc1(A,k9_polynom3(A),k10_polynom3(A)) ) )).
fof(d13_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( C = k7_relat_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( r2_hidden(k4_tarski(E,D),A) & r2_hidden(E,B) ) ) ) ) )).
fof(d13_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v5_relat_2(A) <=> r5_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d13_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_finset_1(k1_relset_1(A,k2_partfun1(A,k1_numbers,B,C))) => ! [D] : ( ( v8_valued_0(D) & m2_finseq_1(D,k1_numbers) ) => ( D = k20_rfunct_3(A,B,C) <=> r2_classes1(k2_partfun1(A,k1_numbers,B,C),D) ) ) ) ) ) )).
fof(d13_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v5_ringcat1(C) ) => ( m4_ringcat1(C,A,B) <=> ! [D] : ( m3_ringcat1(D,C) => m1_ringcat1(D,A,B) ) ) ) ) ) )).
fof(d13_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rltopsp1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k4_rltopsp1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k1_rlvect_1(A,D,B) ) ) ) ) ) )).
fof(d13_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => k10_rlvect_2(A,B,C) = k7_rlvect_2(A,B,k9_rlvect_2(A,C)) ) ) ) )).
fof(d13_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_rmod_4(C,A,B) <=> ! [D] : ( m2_rmod_4(D,A,B,C) => ( k5_rmod_4(A,B,D) = k4_struct_0(B) => k2_rmod_4(A,B,D) = k1_xboole_0 ) ) ) ) ) ) )).
fof(d13_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r3_roughs_1(A,B,C) <=> ( r1_roughs_1(A,B,C) & r2_roughs_1(A,B,C) ) ) ) ) ) )).
fof(d13_rsspace,axiom,( k10_rsspace = g1_bhsp_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace),k9_rsspace) )).
fof(d13_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( v1_xcmplx_0(B) => ( B = k19_rvsum_1(A) <=> ? [C] : ( m2_finseq_1(C,k2_numbers) & C = A & B = k1_finsop_1(k2_numbers,C,k5_binop_2) ) ) ) ) )).
fof(d13_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k16_scm_comp(A) <=> k10_ami_3(B) = A ) ) ) )).
fof(d13_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => k11_scmfsa_2(A) = k7_ami_3(A) ) )).
fof(d13_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k12_scmpds_2(A,B,C,D) = k3_xtuple_0(9,k1_xboole_0,k7_finseq_4(A,B,C,D)) ) ) ) ) )).
fof(d13_scmpds_i,axiom,( k14_scmpds_i = k5_numbers )).
fof(d13_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ( v5_scmyciel(A) <=> A = k5_scmyciel(k3_tarski(A)) ) ) )).
fof(d13_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k20_seq_4(A) = k3_square_1(k18_rvsum_1(k12_rvsum_1(k11_seq_4(A)))) ) )).
fof(d13_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( r2_seqfunc(A,B,C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k11_seqfunc(A,B,C) <=> ( k1_relset_1(A,D) = C & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k1_funct_1(D,E) = k1_seq_2(k10_seqfunc(A,B,E)) ) ) ) ) ) ) ) ) )).
fof(d13_sgraph1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_sgraph1(B,k4_ordinal1) => ( B = k7_sgraph1(A) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_sgraph1(k2_finseq_1(A)))) & C = a_1_2_sgraph1(A) & B = g1_sgraph1(k2_finseq_1(A),C) ) ) ) ) )).
fof(d13_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) ) => ( v10_sheffer1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)) = B ) ) ) )).
fof(d13_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ! [C] : ( ( v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,A) ) => ( m2_simplex0(C,A,B) <=> ( r1_tarski(k2_struct_0(C),k2_struct_0(B)) & r1_tarski(u1_pre_topc(C),u1_pre_topc(B)) ) ) ) ) )).
fof(d13_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( D = k12_sin_cos(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,C) => k8_nat_1(k2_numbers,D,E) = k3_xcmplx_0(k8_nat_1(k2_numbers,k3_sin_cos(A),E),k6_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(B)),C),k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(B)),k7_nat_d(C,E)))) ) & ( ~ r1_xxreal_0(E,C) => k8_nat_1(k2_numbers,D,E) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d13_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( C = k9_stacks_1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(A),k3_finseq_2(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k3_finseq_2(u1_struct_0(A))))) & C = k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),D,B) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( r1_stacks_1(A,E) => k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),D,E) = k1_xboole_0 ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),D,k7_stacks_1(A,E,F)) = k7_finseq_1(k12_finseq_1(u1_struct_0(A),F),k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),D,E)) ) ) ) ) ) ) ) )).
fof(d13_struct_0,axiom,( ! [A] : ( l5_struct_0(A) => ( v11_struct_0(A) <=> v1_xboole_0(u4_struct_0(A)) ) ) )).
fof(d13_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_substut1(A)) ) => ( ? [E] : ( m1_subset_1(E,k1_substut1(A)) & D = k7_substut1(A,B,k15_qc_lang1(A,B,C),E) ) => ( ( r2_tarski(B,k10_xtuple_0(D)) => k14_substut1(A,B,C,D) = k2_xboole_0(D,k6_domain_1(k2_zfmisc_1(k3_qc_lang1(A),k3_qc_lang1(A)),k1_domain_1(k3_qc_lang1(A),k3_qc_lang1(A),B,k2_qc_lang3(A,k13_substut1(A,D,C))))) ) & ( ~ r2_tarski(B,k10_xtuple_0(D)) => k14_substut1(A,B,C,D) = k2_xboole_0(D,k6_domain_1(k2_zfmisc_1(k3_qc_lang1(A),k3_qc_lang1(A)),k1_domain_1(k3_qc_lang1(A),k3_qc_lang1(A),B,B))) ) ) ) ) ) ) ) )).
fof(d13_supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v7_supinf_2(A) <=> r2_tarski(k17_supinf_2(A),k1_numbers) ) ) )).
fof(d13_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_finseq_1(B,k1_topalg_6(A)) => ! [C] : ( m2_finseq_1(C,k1_topalg_6(A)) => ( C = k5_topalg_6(A,B) <=> ( k3_finseq_1(B) = k3_finseq_1(C) & k1_funct_1(B,1) = k1_funct_1(C,1) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(B),D) | k1_funct_1(C,k1_nat_1(D,1)) = k4_topalg_6(A,k7_partfun1(k1_topalg_6(A),C,D),k7_partfun1(k1_topalg_6(A),B,k1_nat_1(D,1))) ) ) ) ) ) ) ) ) )).
fof(d13_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v7_topgen_1(A) <=> r1_ordinal1(k4_topgen_1(A),k4_ordinal1) ) ) )).
fof(d13_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = k7_topreal1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,B) <=> ( r1_xxreal_0(k17_euclid(C),k17_euclid(A)) & k18_euclid(C) = k18_euclid(A) ) ) ) ) ) ) )).
fof(d13_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k11_toprealb(k9_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_toprealb(k9_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))))) ) => ( A = k14_toprealb <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k11_toprealb(k9_toprealb))) => ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k19_euclid(C,D) & ( r1_xxreal_0(k5_numbers,D) => k3_funct_2(u1_struct_0(k11_toprealb(k9_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))),A,B) = k7_xcmplx_0(k4_sin_cos6(C),k3_xcmplx_0(2,k28_sin_cos)) ) & ( r1_xxreal_0(D,k5_numbers) => k3_funct_2(u1_struct_0(k11_toprealb(k9_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))),A,B) = k6_xcmplx_0(1,k7_xcmplx_0(k4_sin_cos6(C),k3_xcmplx_0(2,k28_sin_cos))) ) ) ) ) ) ) )).
fof(d13_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k7_trees_1(A) <=> ? [C] : ( m4_trees_1(C,A) & B = k4_card_1(C) & ! [D] : ( m4_trees_1(D,A) => r1_xxreal_0(k4_card_1(D),k4_card_1(C)) ) ) ) ) ) )).
fof(d13_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v3_trees_2(C) ) => k9_trees_3(A,B,C) = k3_relat_1(C,k7_trees_3(A,B)) ) ) ) )).
fof(d13_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => ( ! [B] : ( m1_subset_1(B,A) => v1_finset_1(B) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_trees_9(A,B),k3_finseq_2(k9_trees_9(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_trees_9(A,B),k3_finseq_2(k9_trees_9(A))))) ) => ( C = k13_trees_9(A,B) <=> ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) => ( r2_tarski(D,k12_trees_9(A,B)) => ! [E] : ( m2_finseq_1(E,k9_trees_9(A)) => ( E = k1_funct_1(C,D) => D = k4_trees_4(k1_funct_1(D,k1_xboole_0),E) ) ) ) ) ) ) ) ) )).
fof(d13_turing_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_valued_0(A) ) => ! [B] : ( l1_turing_1(B) => ! [C] : ( m2_funct_2(C,k4_numbers,u1_turing_1(B),k9_funct_2(k4_numbers,u1_turing_1(B))) => ( r2_turing_1(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(A),D) | r1_turing_1(B,C,k2_xcmplx_0(k16_rvsum_1(k16_finseq_1(D,A)),k3_xcmplx_0(2,k6_xcmplx_0(D,1))),k2_xcmplx_0(k16_rvsum_1(k16_finseq_1(k1_nat_1(D,1),A)),k3_xcmplx_0(2,D))) ) ) ) ) ) ) ) )).
fof(d13_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k14_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k8_margrel1(k9_margrel1(k9_margrel1(k8_margrel1(B),C),D)) ) ) ) ) ) )).
fof(d13_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m1_unialg_2(C,A) => ! [D] : ( ( v1_unialg_1(D) & m1_unialg_2(D,A) ) => ( D = k8_unialg_2(A,B,C) <=> ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( E = k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) => D = k7_unialg_2(A,E) ) ) ) ) ) ) ) )).
fof(d13_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ( v5_valued_0(A) <=> ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d13_valued_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_membered(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( v5_valued_0(B) <=> ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(A,B,k1_nat_1(C,1)),k8_nat_1(A,B,C)) ) ) ) ) )).
fof(d13_valued_2,axiom,( ! [A] : ! [B] : ( B = k7_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) )).
fof(d13_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k11_vectsp10(A,B,C) = k10_vectsp10(A,B,k9_vectsp10(A,B,C),C) ) ) ) )).
fof(d13_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v8_vectsp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_vectsp_1(A,B,C,k1_algstr_0(B,D,E)) = k1_algstr_0(B,k3_vectsp_1(A,B,C,D),k3_vectsp_1(A,B,C,E)) ) ) ) ) ) ) )).
fof(d13_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v2_altcat_2(B,k9_waybel34(A)) & v3_altcat_2(B,k9_waybel34(A)) & m1_altcat_2(B,k9_waybel34(A)) ) => ( B = k11_waybel34(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k9_waybel34(A))) => ( m1_subset_1(C,u1_struct_0(B)) <=> v3_waybel_3(k4_yellow21(k9_waybel34(A),C)) ) ) ) ) ) )).
fof(d13_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v10_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_waybel_0(A,B,a_3_0_waybel_0(A,B,C)) ) ) ) ) )).
fof(d13_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v6_waybel_1(B,A) <=> ( v11_quantal1(B) & v5_orders_3(B,A,A) ) ) ) ) )).
fof(d13_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ( B = k8_waybel_4(A) <=> ! [C] : ( ~ ( r2_tarski(C,u1_struct_0(B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) => ~ ( C = D & v5_orders_3(D,A,k1_yellow_1(k7_waybel_0(A))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),D,E),k5_waybel_0(A,E)) ) ) ) ) & ( ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) & C = D & v5_orders_3(D,A,k1_yellow_1(k7_waybel_0(A))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),D,E),k5_waybel_0(A,E)) ) ) => r2_tarski(C,u1_struct_0(B)) ) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),u1_orders_2(B)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) & D = F & E = G & r2_hidden(D,u1_struct_0(B)) & r2_hidden(E,u1_struct_0(B)) & r1_yellow_2(u1_struct_0(A),k1_yellow_1(k7_waybel_0(A)),F,G) ) ) ) ) ) ) ) )).
fof(d13_xtuple_0,axiom,( ! [A] : ! [B] : ( B = k10_xtuple_0(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : r2_hidden(k4_tarski(D,C),A) ) ) )).
fof(d13_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( m1_yellow_0(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & r1_tarski(u1_orders_2(B),u1_orders_2(A)) ) ) ) ) )).
fof(d13_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m3_yellow_6(C,u1_struct_0(B),A) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v6_waybel_0(D,A) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ( D = k7_yellow_6(A,B,C) <=> ( g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = k3_yellow_3(B,k4_yellow_1(u1_struct_0(B),C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( ( r2_tarski(E,u1_struct_0(B)) & r2_tarski(F,u1_struct_0(k4_yellow_1(u1_struct_0(B),C))) ) => k1_binop_1(u1_waybel_0(A,D),E,F) = k1_funct_1(u1_waybel_0(A,k6_yellow_6(u1_struct_0(B),A,C,E)),k1_funct_1(F,E)) ) ) ) ) ) ) ) ) ) )).
fof(d13_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v5_zf_lang(A) <=> ? [B] : ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k6_zf_lang(B,C) ) ) ) ) )).
fof(d13_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m2_zmodul01(C,A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k5_zmodul01(A,D,B) ) ) ) ) ) )).
fof(d13_zmodul02,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k13_zmodul02(A,B,C) = k5_zmodul01(B,C,k5_zmodul02(B,A)) ) ) ) )).
fof(d14_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ( v10_abcmiz_0(A) <=> ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => ~ v1_xboole_0(k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k3_abcmiz_0(A,B),k3_abcmiz_0(A,k1_abcmiz_0(A,B)))) ) ) ) )).
fof(d14_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => k13_abcmiz_1(A) = k7_abcmiz_1 ) )).
fof(d14_abcmiz_a,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v5_abcmiz_a(B,A) <=> k3_finseq_1(k1_msualg_1(A,B)) = 1 ) ) ) )).
fof(d14_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v4_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_absred_0(B,A) ) ) ) )).
fof(d14_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_2(D,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [E] : ( m2_finseq_2(E,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [F] : ( m2_finseq_2(F,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ( F = k16_aescip_1(A,B,C,D,E) <=> ? [G] : ( m2_finseq_1(G,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & k3_finseq_1(G) = k6_xcmplx_0(k2_xcmplx_0(7,C),1) & ? [H] : ( m2_finseq_2(H,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & H = k1_funct_1(k1_aescip_1(k2_xcmplx_0(7,C),4,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,C),E),1) & k1_funct_1(G,1) = k2_aescip_1(4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k8_aescip_1,D,H) ) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & ~ r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(7,C),1),H) & ! [I] : ( m2_finseq_2(I,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ~ ( I = k1_funct_1(k1_aescip_1(k2_xcmplx_0(7,C),4,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,C),E),k1_nat_1(H,1)) & k1_funct_1(G,k1_nat_1(H,1)) = k1_binop_1(k8_aescip_1,k1_funct_1(k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_aescip_1(A),k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k6_aescip_1,B)),k1_funct_1(G,H)),I) ) ) ) ) & ? [H] : ( m2_finseq_2(H,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & H = k1_funct_1(k1_aescip_1(k2_xcmplx_0(7,C),4,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,C),E),k2_xcmplx_0(7,C)) & F = k1_binop_1(k8_aescip_1,k1_funct_1(k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_aescip_1(A),k6_aescip_1),k1_funct_1(G,k6_xcmplx_0(k2_xcmplx_0(7,C),1))),H) ) ) ) ) ) ) ) ) ) )).
fof(d14_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v14_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & r2_hidden(D,B) & r2_hidden(E,B) & r2_hidden(F,B) & r5_aff_1(A,B,C) & r2_hidden(G,C) & r2_hidden(H,C) & r2_analoaf(A,D,H,E,G) & r2_analoaf(A,E,I,F,H) & r2_analoaf(A,D,I,F,G) ) => ( B = C | G = H | r2_hidden(I,C) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k16_afinsq_1(A,B,C,D) = k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(A),k5_afinsq_1(B)),k5_afinsq_1(C)),k5_afinsq_1(D)) )).
fof(d14_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k14_afproj(A) = g1_incsp_1(k7_afproj(A),k8_afproj(A),k12_afproj(A)) ) )).
fof(d14_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_algstr_0(A,B,C) = k1_algstr_0(A,B,k4_algstr_0(A,C)) ) ) ) )).
fof(d14_algstr_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => k11_algstr_4(A,B) = k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),k10_algstr_4(A),B) ) )).
fof(d14_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v6_altcat_1(B) & v10_altcat_1(B) & l2_altcat_1(B) ) => ( B = k7_altcat_1(A) <=> ( u1_struct_0(B) = A & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_altcat_1(B,C,D) = k1_funct_2(C,D) ) ) ) ) ) ) )).
fof(d14_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( ~ v2_struct_0(B) => ( v3_altcat_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( C = D => r2_tarski(k8_altcat_1(A,D),k1_altcat_1(B,C,C)) ) ) ) ) ) & ( v2_struct_0(B) => v3_altcat_2(B,A) ) ) ) ) )).
fof(d14_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ( ( ? [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) & ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(1,k1_xboole_0,k10_finseq_1(C,D)) ) ) => k8_ami_2(A,B) = k6_ami_2(k7_ami_2(B,k4_scm_inst(A),k1_funct_1(B,k5_scm_inst(A))),k2_xcmplx_0(k5_ami_2(B),1)) ) & ( ? [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) & ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(2,k1_xboole_0,k10_finseq_1(C,D)) ) ) => k8_ami_2(A,B) = k6_ami_2(k7_ami_2(B,k4_scm_inst(A),k2_xcmplx_0(k1_funct_1(B,k4_scm_inst(A)),k1_funct_1(B,k5_scm_inst(A)))),k2_xcmplx_0(k5_ami_2(B),1)) ) & ( ? [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) & ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(3,k1_xboole_0,k10_finseq_1(C,D)) ) ) => k8_ami_2(A,B) = k6_ami_2(k7_ami_2(B,k4_scm_inst(A),k6_xcmplx_0(k1_funct_1(B,k4_scm_inst(A)),k1_funct_1(B,k5_scm_inst(A)))),k2_xcmplx_0(k5_ami_2(B),1)) ) & ( ? [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) & ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(4,k1_xboole_0,k10_finseq_1(C,D)) ) ) => k8_ami_2(A,B) = k6_ami_2(k7_ami_2(B,k4_scm_inst(A),k3_xcmplx_0(k1_funct_1(B,k4_scm_inst(A)),k1_funct_1(B,k5_scm_inst(A)))),k2_xcmplx_0(k5_ami_2(B),1)) ) & ( ? [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) & ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(5,k1_xboole_0,k10_finseq_1(C,D)) ) ) => k8_ami_2(A,B) = k6_ami_2(k7_ami_2(k7_ami_2(B,k4_scm_inst(A),k4_int_1(k1_funct_1(B,k4_scm_inst(A)),k1_funct_1(B,k5_scm_inst(A)))),k5_scm_inst(A),k5_int_1(k1_funct_1(B,k4_scm_inst(A)),k1_funct_1(B,k5_scm_inst(A)))),k2_xcmplx_0(k5_ami_2(B),1)) ) & ( ? [C] : ( v7_ordinal1(C) & A = k3_xtuple_0(6,k9_finseq_1(C),k1_xboole_0) ) => k8_ami_2(A,B) = k6_ami_2(B,k6_scm_inst(A)) ) & ( ? [C] : ( v7_ordinal1(C) & ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(7,k9_finseq_1(C),k12_finseq_1(k2_ami_2,D)) ) ) => k8_ami_2(A,B) = k6_ami_2(B,k15_funcop_1(k1_funct_1(B,k8_scm_inst(A)),k5_numbers,k7_scm_inst(A),k2_xcmplx_0(k5_ami_2(B),1))) ) & ( ? [C] : ( v7_ordinal1(C) & ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(8,k9_finseq_1(C),k12_finseq_1(k2_ami_2,D)) ) ) => k8_ami_2(A,B) = k6_ami_2(B,k5_xxreal_0(k1_funct_1(B,k8_scm_inst(A)),k5_numbers,k7_scm_inst(A),k2_xcmplx_0(k5_ami_2(B),1))) ) & ( ( ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => A != k3_xtuple_0(1,k1_xboole_0,k10_finseq_1(C,D)) ) ) & ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => A != k3_xtuple_0(2,k1_xboole_0,k10_finseq_1(C,D)) ) ) & ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => A != k3_xtuple_0(3,k1_xboole_0,k10_finseq_1(C,D)) ) ) & ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => A != k3_xtuple_0(4,k1_xboole_0,k10_finseq_1(C,D)) ) ) & ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => A != k3_xtuple_0(5,k1_xboole_0,k10_finseq_1(C,D)) ) ) & ! [C] : ( v7_ordinal1(C) => A != k3_xtuple_0(6,k9_finseq_1(C),k1_xboole_0) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => A != k3_xtuple_0(7,k9_finseq_1(C),k12_finseq_1(k2_ami_2,D)) ) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => A != k3_xtuple_0(8,k9_finseq_1(C),k12_finseq_1(k2_ami_2,D)) ) ) ) => k8_ami_2(A,B) = B ) ) ) ) )).
fof(d14_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v7_ordinal1(D) => k7_ami_wstd(A,B,C,D) = k1_ami_wstd(A,B,k7_nat_d(k3_ami_wstd(A,B,C),D)) ) ) ) ) )).
fof(d14_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r7_analmetr(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D != E & B = k3_analmetr(A,D,E) & r6_analmetr(A,D,E,C) ) ) ) ) ) ) )).
fof(d14_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( v7_anproj_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_collsp(A,B,C,F) & r1_collsp(A,D,E,F) ) ) ) ) ) ) ) )).
fof(d14_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_unialg_1(A) ) => ( v7_aofa_000(A) <=> ( ~ v1_xboole_0(k1_funct_1(u1_unialg_1(A),2)) & v1_funct_1(k1_funct_1(u1_unialg_1(A),2)) & v2_margrel1(k1_funct_1(u1_unialg_1(A),2)) & v3_margrel1(k1_funct_1(u1_unialg_1(A),2),u1_struct_0(A)) & v8_comput_1(k1_funct_1(u1_unialg_1(A),2),2) & v1_aofa_000(k1_funct_1(u1_unialg_1(A),2)) & m1_subset_1(k1_funct_1(u1_unialg_1(A),2),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) ) ) )).
fof(d14_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(C,k4_numbers))) => ! [E] : ( m1_aofa_000(E,A,k9_funct_2(C,k4_numbers),D) => ( r1_aofa_i00(A,B,C,D,E) <=> ( r2_tarski(B,k18_aofa_000(A)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_funct_2(C,k4_numbers),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(C,k4_numbers),C))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k9_funct_2(C,k4_numbers),k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(C,k4_numbers),k4_numbers))) & ! [H] : ( m2_funct_2(H,C,k4_numbers,k9_funct_2(C,k4_numbers)) => k2_binop_1(k9_funct_2(C,k4_numbers),u1_struct_0(A),k9_funct_2(C,k4_numbers),E,H,B) = k14_funct_7(C,k4_numbers,H,k3_funct_2(k9_funct_2(C,k4_numbers),C,F,H),k3_funct_2(k9_funct_2(C,k4_numbers),k4_numbers,G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & l4_aofa_l00(C,A,B) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,C)),k3_msualg_1(A,D,C)) => ! [F] : ( m1_subset_1(F,k3_card_3(B)) => ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,C))) => ! [H] : ( m1_msafree4(H,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,C)),k3_msualg_1(A,D,C)) => ( H = k8_aofa_l00(A,B,C,D,E,F,G) <=> ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(k1_msualg_1(A,D))) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( J = k1_funct_1(k1_msualg_1(A,D),I) & ? [K] : ( m1_msafree4(K,u1_struct_0(A),u3_msualg_1(A,C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),J)) & K = k1_funct_1(E,I) & k1_funct_1(H,I) = k7_aofa_l00(A,B,C,J,K,F,G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v6_armstrng(B,A) <=> ( v3_armstrng(B,A) & v8_relat_2(B) & v4_armstrng(B,A) & v5_armstrng(B,A) ) ) ) )).
fof(d14_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : k11_asympt_0(A,B) = a_2_2_asympt_0(A,B) ) )).
fof(d14_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A))))))) ) => ( B = k12_bagorder(A) <=> ( k1_relset_1(k4_ordinal1,B) = k4_ordinal1 & k8_nat_1(k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)))),B,k5_numbers) = a_1_0_bagorder(A) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)))),B,k1_nat_1(C,1)) = a_3_0_bagorder(A,B,C) ) ) ) ) ) )).
fof(d14_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => k4_bcialg_2(A) = a_1_0_bcialg_2(A) ) )).
fof(d14_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bcialg_4(A) ) => ( v7_bcialg_4(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_4(A,k1_bcialg_1(A,B,C),C) = k1_bcialg_4(A,B,C) ) ) ) ) )).
fof(d14_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_1(B,A) => ! [C] : ( ( v12_bcialg_1(C,A) & m2_bcialg_1(C,A) ) => ! [D] : ( m5_bcialg_2(D,A,C) => k9_bcialg_6(A,B,C,D) = g2_bcialg_1(k6_bcialg_6(A,B,C,D),k7_bcialg_6(A,B,C,D),k8_bcialg_6(A,B,C,D)) ) ) ) ) )).
fof(d14_borsuk_1,axiom,( k18_borsuk_1 = k5_numbers )).
fof(d14_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k5_margrel1,B,C) = k6_margrel1 ) => k14_bvfunc_1(A,B) = k11_bvfunc_1(A) ) & ( ~ ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k5_margrel1,B,C) = k6_margrel1 ) => k14_bvfunc_1(A,B) = k12_bvfunc_1(A) ) ) ) ) )).
fof(d14_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k7_c0sp1(A) = g1_funcsdom(k6_c0sp1(A),k2_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k1_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k5_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k4_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k3_c0sp1(k12_funcsdom(A),k6_c0sp1(A))) ) )).
fof(d14_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_valuat_1(D,A,C) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ( r9_calcul_1(A,B,C,D,E) <=> r6_calcul_1(A,k2_relset_1(k3_cqc_lang(A),B),C,D,E) ) ) ) ) ) ) )).
fof(d14_card_3,axiom,( ! [A] : ( v4_card_3(A) <=> r1_ordinal1(k1_card_1(A),k4_ordinal1) ) )).
fof(d14_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( v5_card_fil(A) <=> ! [B] : ( v1_card_1(B) => ( r2_tarski(B,A) => r2_tarski(k3_card_2(2,B),A) ) ) ) ) )).
fof(d14_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v7_cat_1(D,A,B,C) <=> ( k2_cat_1(A,B,C) != k1_xboole_0 & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k2_cat_1(A,E,B) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,A,E,B) => ! [G] : ( m1_cat_1(G,A,E,B) => ( k5_cat_1(A,E,B,C,F,D) = k5_cat_1(A,E,B,C,G,D) => F = G ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u4_struct_0(A)))) ) => ( r1_cat_3(A,B,C,D) <=> ( m1_cat_3(D,A,B,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_cat_3(F,A,E,C) => ~ ( r2_funct_2(C,u1_struct_0(A),k3_cat_3(A,C,D),k3_cat_3(A,C,F)) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ~ ( r2_tarski(G,k2_cat_1(A,E,B)) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ( r2_tarski(H,k2_cat_1(A,E,B)) => ( ! [I] : ( r2_tarski(I,C) => k1_cat_1(A,H,k7_partfun1(u4_struct_0(A),D,I)) = k7_partfun1(u4_struct_0(A),F,I) ) <=> G = H ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k13_cat_4(A,B) = k9_cat_4(A,B,k1_cat_4(A),B,k4_cat_1(A,B),k6_cat_4(A,B)) ) ) )).
fof(d14_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m2_cat_1(C,k12_cat_5(A,k4_graph_1(A,B)),k12_cat_5(A,k3_graph_1(A,B))) => ( C = k20_cat_5(A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(k12_cat_5(A,k4_graph_1(A,B)))) => k3_funct_2(u4_struct_0(k12_cat_5(A,k4_graph_1(A,B))),u4_struct_0(k12_cat_5(A,k3_graph_1(A,B))),C,D) = k8_cat_2(k6_cat_2(A,A),A,k8_cat_2(A,A,k1_cat_1(A,B,k17_cat_5(A,k4_graph_1(A,B),D)),k1_cat_1(A,B,k18_cat_5(A,k4_graph_1(A,B),D))),k16_cat_5(A,k4_graph_1(A,B),D)) ) ) ) ) ) )).
fof(d14_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( v11_cat_6(B,A) <=> ( v2_cat_6(B,A) & v3_cat_6(B,A) ) ) ) ) )).
fof(d14_cat_7,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( v7_cat_7(B,A) <=> r4_wellord1(k5_cat_7(B),k1_wellord2(A)) ) ) ) )).
fof(d14_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( B = k13_cgames_1(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k10_cgames_1(A) & B = k1_funct_1(C,A) & ! [D] : ( v2_cgames_1(D) => ( r2_tarski(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = g1_cgames_1(a_2_1_cgames_1(C,D),a_2_2_cgames_1(C,D)) ) ) ) ) ) )).
fof(d14_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_chain_1(A,B,C))) => ( m3_chain_1(D,A,B,C) <=> ~ ( ~ ( C = k5_numbers & v1_abian(k4_card_1(D)) ) & ! [E] : ( v7_ordinal1(E) => ~ ( C = k1_nat_1(E,1) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k4_chain_1(A,B,k1_nat_1(E,1)))) & F = D & k10_chain_1(A,B,E,F) = k5_chain_1(A,B,E) ) ) ) ) ) ) ) ) ) )).
fof(d14_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v6_circcomb(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(u3_msualg_1(A,B),C) = k5_margrel1 ) ) ) ) )).
fof(d14_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,B) & l3_msualg_1(D,B) ) => ( r6_circtrm1(A,B,C,D) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & r5_circtrm1(A,B,E,F,C,D) ) ) ) ) ) ) ) )).
fof(d14_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v9_closure1(B,A) & l1_closure1(B,A) ) => ! [C] : ( ( v1_closure1(C,u1_struct_0(A),u3_msualg_1(A,B)) & v2_closure1(C,u1_struct_0(A),u3_msualg_1(A,B)) & v3_closure1(C,u1_struct_0(A),u3_msualg_1(A,B)) & m2_pboole(C,u1_struct_0(A),k5_mssubfam(u1_struct_0(A),u3_msualg_1(A,B)),k5_mssubfam(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( C = k7_closure1(A,B) <=> ! [D] : ( m1_pboole(D,u1_struct_0(A),k5_mssubfam(u1_struct_0(A),u3_msualg_1(A,B))) => ! [E] : ( ( v2_relat_1(E) & m3_pboole(E,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(A)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(A)) ) => ( r1_pboole(u1_struct_0(A),F,E) <=> ( r1_pboole(u1_struct_0(A),F,u1_closure1(A,B)) & r2_pboole(u1_struct_0(A),D,F) ) ) ) => r6_pboole(u1_struct_0(A),k2_closure1(u1_struct_0(A),u3_msualg_1(A,B),C,D),k4_mssubfam(u1_struct_0(A),u3_msualg_1(A,B),E)) ) ) ) ) ) ) ) )).
fof(d14_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k6_clvect_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k1_clvect_1(A,k1_normsp_0(A,B,E),C) ) ) ) ) ) ) )).
fof(d14_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v9_cohsp_1(A) <=> ( v2_finsub_1(k9_xtuple_0(A)) & v8_cohsp_1(A) & v7_cohsp_1(A) ) ) ) )).
fof(d14_combgras,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,B) & v3_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( ( v5_combgras(D,k1_combgras(A,B),k1_combgras(A,B)) & l1_combgras(D,k1_combgras(A,B),k1_combgras(A,B)) ) => ( D = k8_combgras(A,B,C) <=> ( ! [E] : ( m1_subset_1(E,u1_incsp_1(k1_combgras(A,B))) => k2_combgras(k1_combgras(A,B),k1_combgras(A,B),D,E) = k7_relat_1(C,E) ) & ! [E] : ( m1_subset_1(E,u2_incsp_1(k1_combgras(A,B))) => k3_combgras(k1_combgras(A,B),k1_combgras(A,B),D,E) = k7_relat_1(C,E) ) ) ) ) ) ) ) ) ) )).
fof(d14_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ( v3_compos_1(B,A) <=> k1_funct_1(B,k62_valued_1(B)) = k2_compos_1(A) ) ) ) )).
fof(d14_comput_1,axiom,( ! [A] : ( v6_comput_1(A) <=> ( r2_tarski(k3_comput_1(k5_numbers,k5_numbers),A) & r2_tarski(k4_comput_1(1,1),A) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) => r2_tarski(k5_comput_1(B,C),A) ) ) ) & v4_comput_1(A) & v5_comput_1(A) ) ) )).
fof(d14_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & v8_conlat_1(B,A) & l2_conlat_1(B,A) ) => ( B = k6_conlat_1(A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(A))) & B = g2_conlat_1(A,C,D) & C = k1_funct_1(k2_conlat_1(A),k1_funct_1(k1_conlat_1(A),k1_xboole_0)) & D = k1_funct_1(k1_conlat_1(A),k1_xboole_0) ) ) ) ) ) )).
fof(d14_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => k12_convex4(A,B) = B ) ) )).
fof(d14_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_cqc_sim1(A,B,C) <=> k14_cqc_sim1(A,B) = k14_cqc_sim1(A,C) ) ) ) ) )).
fof(d14_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_csspace(A,B,C) <=> k10_csspace(A,B,C) = k5_numbers ) ) ) ) )).
fof(d14_dblseq_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A))) ) => ( m1_dblseq_1(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_ordinal1) & v5_valued_0(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => k1_binop_1(C,F,G) = k2_binop_1(k4_ordinal1,k4_ordinal1,A,B,k8_nat_1(k4_ordinal1,D,F),k8_nat_1(k4_ordinal1,E,G)) ) ) ) ) ) ) ) ) )).
fof(d14_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_decomp_1(A) = a_1_3_decomp_1(A) ) )).
fof(d14_dickson,axiom,( k10_dickson = a_0_0_dickson )).
fof(d14_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m4_dist_2(C,A,B) => ! [D] : ( ( v1_setfam_1(D) & m2_subset_1(D,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ( D = k11_dist_2(A,B,C) <=> ? [E] : ( m1_dist_2(E,A,B) & ? [F] : ( m2_finseq_1(F,A) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(k4_finseq_1(E))) & G = k8_relset_1(k4_ordinal1,A,E,C) & F = k5_dist_2(A,E,G) & r2_tarski(F,D) ) ) ) ) ) ) ) ) )).
fof(d14_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & l1_lang1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k18_dtconstr(A,B) = a_2_0_dtconstr(A,B) ) ) )).
fof(d14_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k11_dualsp01(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k11_dualsp01(A),k1_numbers))) ) => ( B = k16_dualsp01(A) <=> ! [C] : ( r2_hidden(C,k11_dualsp01(A)) => k1_funct_1(B,C) = k2_seq_4(k15_dualsp01(A,k14_dualsp01(A,C))) ) ) ) ) )).
fof(d14_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k12_e_siec(A) = u1_struct_0(A) ) )).
fof(d14_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => k12_ens_1(A,B) = B ) ) )).
fof(d14_exchsort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_exchsort(C) ) => ( m2_exchsort(C,A,B) <=> ( k1_funct_1(C,k1_exchsort(C)) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(C)) => ( v1_relat_1(k1_funct_1(C,D)) & v5_relat_1(k1_funct_1(C,D),u1_struct_0(A)) & v1_funct_1(k1_funct_1(C,D)) & v1_exchsort(k1_funct_1(C,D)) ) ) ) & ! [D] : ( v3_ordinal1(D) => ~ ( r2_tarski(D,k9_xtuple_0(C)) & r2_tarski(k1_ordinal1(D),k9_xtuple_0(C)) & ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v1_exchsort(E) ) => ! [F] : ! [G] : ~ ( r2_hidden(k4_tarski(F,G),k6_exchsort(A,E)) & k1_funct_1(C,D) = E & k1_funct_1(C,k1_ordinal1(D)) = k9_funct_7(E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d14_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_extpro_1(A,B,C,D,E) <=> ! [F] : ~ ( r2_tarski(F,k9_xtuple_0(E)) & ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(B)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(A,B)) & v1_finset_1(G) ) => ~ ( F = G & m1_extpro_1(k1_funct_4(D,G),A,B,C) & r1_tarski(k1_funct_1(E,G),k7_extpro_1(A,B,C,k1_funct_4(D,G))) ) ) ) ) ) ) ) ) ) )).
fof(d14_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => k10_facirc_1(A,B,C,D) = k3_circcomb(k5_circcomb(D,k10_finseq_1(A,B)),k5_circcomb(D,k10_finseq_1(k4_tarski(k10_finseq_1(A,B),D),C)),k6_facirc_1(A,B,D),k6_facirc_1(k4_tarski(k10_finseq_1(A,B),D),C,D)) ) )).
fof(d14_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k14_ff_siec(A) = k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)) ) )).
fof(d14_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_nat_lat(C,A) => ( C = k10_filter_2(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & D = k1_realset1(u2_lattices(A),B) & E = k1_realset1(u1_lattices(A),B) & C = g3_lattices(B,D,E) ) ) ) ) ) ) )).
fof(d14_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => k15_finseq_1(A) = k3_relat_1(k14_finseq_1(k9_xtuple_0(A)),A) ) )).
fof(d14_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k13_fintopo2(A,B) = k9_subset_1(u1_struct_0(A),B,k8_fintopo2(A,B)) ) ) )).
fof(d14_fomodel0,axiom,( k4_numbers = k2_xboole_0(k4_ordinal1,k6_subset_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),k4_ordinal1),k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers)))) )).
fof(d14_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v4_fomodel1(B,A) <=> r2_tarski(B,k2_fomodel1(A)) ) ) ) )).
fof(d14_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => k14_fomodel2(A,B) = a_2_0_fomodel2(A,B) ) ) )).
fof(d14_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k18_fomodel3(A,B,C) = k4_relset_1(k4_finseq_2(B,k8_eqrel_1(A,C)),k4_finseq_2(B,A),k4_finseq_2(B,A),k8_eqrel_1(k4_finseq_2(B,A),k13_fomodel3(A,C,B)),k8_fomodel3(k8_eqrel_1(A,C),A,k3_relset_1(A,k8_eqrel_1(A,C),k17_fomodel3(A,C)),B),k17_fomodel3(k4_finseq_2(B,A),k13_fomodel3(A,C,B))) ) ) ) )).
fof(d14_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ! [D] : ( v9_fomodel4(D,A,B,C) <=> ? [E] : ( r1_tarski(k1_xfamily(E),C) & k2_xfamily(E) = D & v8_fomodel4(k1_tarski(E),A,B) ) ) ) ) )).
fof(d14_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_freealg(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_freealg(A,B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_freealg(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_freealg(A,B),C))) ) => ( r2_tarski(D,k6_dtconstr(k3_freealg(A,B))) => k10_freealg(A,B,C,D,E) = k1_funct_1(E,k2_trees_4(u1_struct_0(k3_freealg(A,B)),D)) ) ) ) ) ) ) )).
fof(d14_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k14_ftacell1(A,B,C,D,E) = k3_circcomb(k37_gfacirc1(A,B,C),k25_gfacirc1(k36_gfacirc1(A,B,C),E,D),k38_gfacirc1(A,B,C),k26_gfacirc1(k36_gfacirc1(A,B,C),E,D)) )).
fof(d14_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v5_funct_1(B,A) <=> ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) ) ) )).
fof(d14_funct_7,axiom,( ! [A] : ! [B] : ! [C] : k12_funct_7(A,B,C) = k1_funct_4(k7_funcop_1(k4_ordinal1,C),k4_funct_4(k5_numbers,1,A,B)) )).
fof(d14_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( l1_altcat_1(B) => ! [C] : ( l2_functor0(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k4_functor0(A,B,C,D,E) = k1_binop_1(u2_functor0(A,B,C),D,E) ) ) ) ) ) )).
fof(d14_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v3_fvaluat1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A,B)))) ) => k9_fvaluat1(A,B,C) = k13_ideal_1(A,k8_relset_1(u1_struct_0(A),k6_numbers,B,k6_domain_1(k6_numbers,k7_supinf_2(k7_relset_1(u1_struct_0(A),k6_numbers,B,C)))),C) ) ) ) ) )).
fof(d14_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & k14_gate_1(A,B,C,D) != k1_gate_1(k1_xboole_0) ) & ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => k14_gate_1(A,B,C,D) = k1_xboole_0 ) ) )).
fof(d14_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k14_gate_5(A,B,C,D,E) = k10_gate_1(C,D,k11_gate_1(A,B,E)) )).
fof(d14_gaussint,axiom,( k11_gaussint = g6_algstr_0(k3_numbers,k15_binop_2,k17_binop_2,k10_subset_1(1,k3_numbers),k10_subset_1(k5_numbers,k3_numbers)) )).
fof(d14_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k14_gfacirc1(A,B,C) = k3_circcomb(k10_gfacirc1(A,B,C),k7_gfacirc1(A,B,C),k11_gfacirc1(A,B,C),k8_gfacirc1(A,B,C)) )).
fof(d14_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r2_glib_000(A,B,C,D) <=> ( r2_hidden(D,k7_glib_000(A)) & k1_funct_1(k10_glib_000(A),D) = B & k1_funct_1(k11_glib_000(A),D) = C ) ) ) )).
fof(d14_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_glib_001(C,A) => ( C = k11_glib_001(A,B) <=> ( k1_nat_1(k3_finseq_1(B),1) = k2_nat_1(2,k3_finseq_1(C)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => k1_funct_1(C,D) = k1_funct_1(B,k6_xcmplx_0(k3_xcmplx_0(2,D),1)) ) ) ) ) ) ) ) )).
fof(d14_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ( v8_glib_003(A) <=> r1_tarski(k10_xtuple_0(k5_glib_003(A)),k8_graph_5) ) ) )).
fof(d14_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => k13_glib_004(A) = k4_tarski(k6_domain_1(k6_glib_000(A),o_1_0_glib_004(A)),k1_xboole_0) ) )).
fof(d14_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ! [E] : ( ( v5_glib_001(E,A) & v6_glib_001(E,A) & m3_glib_001(E,A) ) => ( ( r2_tarski(D,k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,C))) => ( E = k7_glib_005(A,B,C,D) <=> ( r1_glib_001(A,C,D,E) & r5_glib_005(A,B,E) & ! [F] : ( ( v7_ordinal1(F) & v1_abian(F) ) => ( r2_tarski(F,k1_relset_1(k4_ordinal1,E)) => k1_funct_1(E,F) = k1_funct_1(k6_glib_005(A,B,C),k1_funct_1(E,k1_nat_1(F,1))) ) ) ) ) ) & ( ~ r2_tarski(D,k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,C))) => ( E = k7_glib_005(A,B,C,D) <=> r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),E,k1_glib_001(A,C)) ) ) ) ) ) ) ) ) )).
fof(d14_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m1_graph_1(B,A) <=> ( ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r2_tarski(k1_funct_1(B,C),u4_struct_0(A)) ) ) & ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k1_nat_1(k3_finseq_1(B),1) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r2_tarski(k1_funct_1(C,D),u1_struct_0(A)) ) ) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( E = k1_funct_1(C,D) & F = k1_funct_1(C,k1_nat_1(D,1)) & r2_graph_1(A,E,F,k1_funct_1(B,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v2_funct_1(B) & m2_graph_1(B,A) ) => ( v1_graph_3(B,A) <=> k10_xtuple_0(B) = u4_struct_0(A) ) ) ) )).
fof(d14_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r6_graph_5(A,B) <=> ( v1_funct_1(B) & v1_funct_2(B,u4_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k1_numbers))) ) ) ) ) )).
fof(d14_graphsp,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k3_finseq_2(k1_numbers)) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ( C = k17_graphsp(A,B) <=> ( k4_finseq_1(C) = k4_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => ( ( r1_xxreal_0(D,k3_xcmplx_0(2,B)) => ( r1_xxreal_0(D,B) | ( ( r1_graphsp(B,k7_nat_d(D,B),A) => k1_funct_1(C,D) = k7_partfun1(k1_numbers,A,k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B,B),k3_xcmplx_0(3,B)),1)) ) & ( ~ r1_graphsp(B,k7_nat_d(D,B),A) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) ) & ( r1_xxreal_0(D,k3_xcmplx_0(3,B)) => ( r1_xxreal_0(D,k3_xcmplx_0(2,B)) | ( ( r1_graphsp(B,k7_nat_d(D,k3_xcmplx_0(2,B)),A) => k1_funct_1(C,D) = k16_graphsp(A,B,k7_nat_d(D,k3_xcmplx_0(2,B))) ) & ( ~ r1_graphsp(B,k7_nat_d(D,k3_xcmplx_0(2,B)),A) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) ) & ( ~ ( ~ r1_xxreal_0(D,B) & r1_xxreal_0(D,k3_xcmplx_0(3,B)) ) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) ) ) ) ) ) ) )).
fof(d14_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v2_grcat_1(C) & l1_grcat_1(C) ) => ( m1_grcat_1(C,A,B) <=> ( k7_grcat_1(C) = A & k8_grcat_1(C) = B ) ) ) ) ) )).
fof(d14_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ( r2_group_10(A,B,C,D,E) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & E = k1_funct_1(k1_group_10(A,B,C,F),D) ) ) ) ) ) ) )).
fof(d14_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k14_group_2(A,B,C) = k5_group_2(A,C,k8_group_2(A,B)) ) ) ) )).
fof(d14_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( C = k10_group_3(A,B) <=> u1_struct_0(C) = a_2_3_group_3(A,B) ) ) ) ) )).
fof(d14_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ! [D] : ( D = k7_group_9(A,B,C) <=> ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,B) & m1_group_2(E,B) ) => ( E = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) => D = k15_group_2(B,E) ) ) ) ) ) )).
fof(d14_gtarski1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r5_gtarski1(A,B,C,D) <=> k1_metric_1(A,B,D) = k2_xcmplx_0(k1_metric_1(A,B,C),k1_metric_1(A,C,D)) ) ) ) ) ) )).
fof(d14_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v6_hahnban1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k3_vectsp_1(k1_complfld,A,D,C)) = k3_xcmplx_0(k9_complex1(D),k3_funct_2(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) )).
fof(d14_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v2_bilinear(B,k1_complfld,A,A) & v4_bilinear(B,k1_complfld,A,A) & v3_hermitan(B,A) & v5_hermitan(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) ) => k8_hermitan(A,B) = k7_hermitan(A,A,B) ) ) )).
fof(d14_idea_1,axiom,( k14_idea_1 = k3_finseq_2(k4_ordinal1) )).
fof(d14_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k7_ideal_1(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v1_ideal_1(D,A) & v2_ideal_1(D,A) & v3_ideal_1(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) ) )).
fof(d14_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v10_incproj(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u1_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u1_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(A)) => ! [R] : ( m1_subset_1(R,u2_incsp_1(A)) => ! [S] : ( m1_subset_1(S,u2_incsp_1(A)) => ! [T] : ( m1_subset_1(T,u2_incsp_1(A)) => ( ( r2_zfmisc_1(B,C,D,E) & r2_zfmisc_1(B,F,G,H) & r1_incsp_1(A,B,N) & r1_incsp_1(A,B,Q) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,H,I),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),E,F,J),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,G,K),R) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,H,J),M) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),E,G,I),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,F,K),S) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,G,H),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,D,E),Q) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),I,J),T) ) => ( N = Q | r1_incsp_1(A,K,T) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v11_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u4_incsp_1(A)) => ( ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & D != E & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,E),B) & r5_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,E),C) ) ) => r3_incsp_1(A,B,C) ) ) ) ) ) )).
fof(d14_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( D = k10_integr15(A,B,C) <=> ( k4_finseq_1(D) = k2_finseq_1(A) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k2_finseq_1(A)) => k1_funct_1(D,E) = k12_integra1(B,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(E,A))) ) ) ) ) ) ) ) ) )).
fof(d14_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k10_integra1(A,B) = k3_seq_4(k1_rvsum_1(k8_integra1(A,B))) ) ) )).
fof(d14_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ( v8_intpro_1(A) <=> ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => ! [D] : ( m1_subset_1(D,k1_intpro_1) => ( r2_tarski(k3_intpro_1(B,k3_intpro_1(C,B)),A) & r2_tarski(k3_intpro_1(k3_intpro_1(B,k3_intpro_1(C,D)),k3_intpro_1(k3_intpro_1(B,C),k3_intpro_1(B,D))),A) & r2_tarski(k3_intpro_1(k4_intpro_1(B,C),B),A) & r2_tarski(k3_intpro_1(k4_intpro_1(B,C),C),A) & r2_tarski(k3_intpro_1(B,k3_intpro_1(C,k4_intpro_1(B,C))),A) & r2_tarski(k3_intpro_1(B,k5_intpro_1(B,C)),A) & r2_tarski(k3_intpro_1(C,k5_intpro_1(B,C)),A) & r2_tarski(k3_intpro_1(k3_intpro_1(B,D),k3_intpro_1(k3_intpro_1(C,D),k3_intpro_1(k5_intpro_1(B,C),D))),A) & r2_tarski(k3_intpro_1(k2_intpro_1,B),A) & ( ( r2_tarski(B,A) & r2_tarski(k3_intpro_1(B,C),A) ) => r2_tarski(C,A) ) ) ) ) ) ) ) )).
fof(d14_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k14_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k24_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d14_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v6_lattad_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k8_lattad_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,C) = B ) ) ) ) ) )).
fof(d14_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v5_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,E,B) & r1_orders_2(A,E,C) ) => r1_orders_2(A,E,D) ) ) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k11_lattice3(A,B,C) <=> ( r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,E,B) & r1_orders_2(A,E,C) ) => r1_orders_2(A,E,D) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k9_xtuple_0(D)) => k9_lattice5(A,B,C,D,E) = k1_funct_1(D,E) ) ) ) ) ) ) )).
fof(d14_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v9_lattice6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & C = k16_lattice3(A,D) ) ) ) ) ) )).
fof(d14_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ( v14_lattices(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,B,C) = B & k1_lattices(A,C,B) = B ) ) ) ) ) )).
fof(d14_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) => ( ( r1_xxreal_0(k15_glib_000(A),k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B)))) => k12_lexbfs(A,B) = B ) & ( ~ r1_xxreal_0(k15_glib_000(A),k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B)))) => k12_lexbfs(A,B) = k11_lexbfs(A,B,k10_lexbfs(A,B),k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),B)))) ) ) ) ) )).
fof(d14_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k16_lopban_1(A,B) = g1_normsp_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k15_lopban_1(A,B)) ) ) )).
fof(d14_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k17_lpspacc1(A,B,C,D) = a_4_0_lpspacc1(A,B,C,D) ) ) ) ) )).
fof(d14_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k14_lpspace1(A,B,C) = a_3_2_lpspace1(A,B,C) ) ) ) )).
fof(d14_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( r3_ltlaxio1(A,B) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( r2_ltlaxio1(C,A) => r1_ltlaxio1(C,B) ) ) ) ) ) )).
fof(d14_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,C) & m2_finseq_1(E,k3_finseq_2(D)) ) => k18_matrix_0(A,B,C,D,E) = k16_matrix_0(B,D,k17_matrix_0(D,A,E)) ) ) ) ) ) )).
fof(d14_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(B,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) => ( v5_matrix_1(B,A) <=> ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & r2_tarski(C,k9_xtuple_0(B)) & r2_tarski(D,k9_xtuple_0(B)) & C != D & k1_funct_1(B,C) = D & k1_funct_1(B,D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k9_xtuple_0(B)) => ( E = C | E = D | k1_funct_1(B,E) = E ) ) ) ) ) ) ) ) )).
fof(d14_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_matroid0(A,B,C) <=> k4_matroid0(A,k4_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B))) = k4_matroid0(A,C) ) ) ) ) )).
fof(d14_mcart_1,axiom,( ! [A] : k13_mcart_1(A) = k1_xtuple_0(k1_xtuple_0(A)) )).
fof(d14_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k17_member_1(A,B) = k9_member_1(k1_tarski(B),A) ) ) )).
fof(d14_membered,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ( A = B <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) <=> r2_hidden(C,B) ) ) ) ) ) )).
fof(d14_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ! [D] : ( v7_ordinal1(D) => k9_memstr_0(A,B,C,D) = k1_funct_4(C,k7_memstr_0(A,B,k2_xcmplx_0(k5_memstr_0(A,B,C),D))) ) ) ) ) )).
fof(d14_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( r2_mesfun7c(A,B,C,D,E) <=> ( k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,D)) & k4_finseq_1(D) = k4_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => ! [G] : ( r2_tarski(G,k1_funct_1(D,F)) => k12_supinf_2(C,G) = k12_supinf_2(E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_mesfunc1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( C = k10_relat_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k9_xtuple_0(A)) & k12_supinf_2(A,D) = B ) ) ) ) ) )).
fof(d14_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( k1_relset_1(A,D) != k1_xboole_0 => k5_mesfunc5(A,B,C,D) = k1_mesfunc3(A,B,C,D) ) & ( k1_relset_1(A,D) = k1_xboole_0 => k5_mesfunc5(A,B,C,D) = k1_supinf_2 ) ) ) ) ) ) )).
fof(d14_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v2_struct_0(A) => ( D = k8_metric_1(A,B,C) <=> D = a_3_0_metric_1(A,B,C) ) ) & ( v2_struct_0(A) => ( D = k8_metric_1(A,B,C) <=> v1_xboole_0(D) ) ) ) ) ) ) ) )).
fof(d14_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k10_midsp_1(A),k10_midsp_1(A)),k10_midsp_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A),k10_midsp_1(A)),k10_midsp_1(A)))) ) => ( B = k12_midsp_1(A) <=> ! [C] : ( m1_subset_1(C,k10_midsp_1(A)) => ! [D] : ( m1_subset_1(D,k10_midsp_1(A)) => k4_binop_1(k10_midsp_1(A),B,C,D) = k11_midsp_1(A,C,D) ) ) ) ) ) )).
fof(d14_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( l1_midsp_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(u1_midsp_2(A,B))) => k10_midsp_2(A,B,C,D) = k2_midsp_2(u1_struct_0(A),u1_midsp_2(A,B),u2_midsp_2(A,B),C,D) ) ) ) ) )).
fof(d14_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( v7_ordinal1(D) => k14_mmlquery(A,B,C,D) = a_4_9_mmlquery(A,B,C,D) ) ) ) )).
fof(d14_mod_2,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) => ! [B] : ( m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) => ( ( B = k5_numbers => k12_mod_2(A,B) = k5_numbers ) & ( A = k5_numbers => k12_mod_2(A,B) = k5_numbers ) & ( B = 1 => k12_mod_2(A,B) = A ) & ( A = 1 => k12_mod_2(A,B) = B ) & ( ( A = 2 & B = 2 ) => k12_mod_2(A,B) = 1 ) ) ) ) )).
fof(d14_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k3_modal_1) => k16_modal_1(A) = k8_funcop_1(k3_modal_1,k2_trees_1(k5_numbers),A) ) )).
fof(d14_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A,B),k4_modcat_1(A,B)),k4_modcat_1(A,B)))) ) => ( C = k10_modcat_1(A,B) <=> ( ! [D] : ( m4_modcat_1(D,A,k4_modcat_1(A,B)) => ! [E] : ( m4_modcat_1(E,A,k4_modcat_1(A,B)) => ( r2_hidden(k4_tarski(D,E),k1_relset_1(k2_zfmisc_1(k4_modcat_1(A,B),k4_modcat_1(A,B)),C)) <=> k5_modcat_1(A,B,D) = k6_modcat_1(A,B,E) ) ) ) & ! [D] : ( m4_modcat_1(D,A,k4_modcat_1(A,B)) => ! [E] : ( m4_modcat_1(E,A,k4_modcat_1(A,B)) => ( r2_hidden(k4_tarski(D,E),k1_relset_1(k2_zfmisc_1(k4_modcat_1(A,B),k4_modcat_1(A,B)),C)) => k1_binop_1(C,D,E) = k8_mod_2(A,D,E) ) ) ) ) ) ) ) ) )).
fof(d14_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => k8_modelc_3(A) = k1_tarski(A) ) )).
fof(d14_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v11_monoid_0(A) <=> v3_monoid_0(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d14_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k11_msafree(A,B) = g3_msualg_1(A,k8_msafree(A,B),k10_msafree(A,B)) ) ) )).
fof(d14_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) => ! [E] : ( v7_ordinal1(E) => ( E = k8_msafree2(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finset_1(F) & v3_trees_2(F) & ? [G] : ( ~ v1_xboole_0(G) & v1_finset_1(G) & v1_trees_1(G) & F = D & G = k9_xtuple_0(F) & E = k6_trees_1(G) ) ) ) ) ) ) ) ) )).
fof(d14_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),k4_equation(A)) => ( C = k5_msafree4(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_msafree4(u1_struct_0(A),C,D) = a_3_0_msafree4(A,B,D) ) ) ) ) ) )).
fof(d14_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) => k6_msafree5(A,B,C,D) = k2_trees_4(k2_zfmisc_1(k1_msafree4(u1_struct_0(A),B,C),u1_struct_0(A)),k1_domain_1(k1_msafree4(u1_struct_0(A),B,C),u1_struct_0(A),D,C)) ) ) ) ) )).
fof(d14_msualg_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k12_msualg_1(A,B) = g1_unialg_1(k10_msualg_1(A,B),k11_msualg_1(A,B)) ) ) )).
fof(d14_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( D = k9_msualg_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = k1_setfam_1(k8_msualg_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(d14_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => k13_msualg_4(A,B,C) = g3_msualg_1(A,k4_msualg_4(A,B,C),k12_msualg_4(A,B,C)) ) ) ) )).
fof(d14_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => k9_msualg_6(A,B,C) = k3_msualg_5(u1_struct_0(A),u3_msualg_1(A,B),C) ) ) ) )).
fof(d14_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r3_nattra_1(A,B,C,D) => ! [E] : ( m2_nattra_1(E,A,B,C,D) => ( m3_nattra_1(E,A,B,C,D) <=> v1_nattra_1(E,A,B,C,D) ) ) ) ) ) ) ) )).
fof(d14_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( r10_ncfcont1(A,B,C) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r4_ncfcont1(A,k2_partfun1(u1_struct_0(A),k2_numbers,B,C),D) ) ) ) ) ) ) )).
fof(d14_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ! [C] : ( C = k11_net_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r1_tarski(D,k2_net_1(A)) & ? [E] : ( m1_subset_1(E,k2_net_1(A)) & r2_tarski(E,B) & D = k6_net_1(A,E) ) ) ) ) ) )).
fof(d14_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => k12_normsp_3(A,B) = u1_struct_0(B) ) ) )).
fof(d14_numpoly1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k11_numpoly1 <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k6_xcmplx_0(2,k7_xcmplx_0(2,k2_xcmplx_0(B,1))) ) ) ) )).
fof(d14_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v13_o_ring_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v12_o_ring_1(C,A) & B = k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)) ) ) ) ) )).
fof(d14_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r8_orders_1(A,B) <=> ( r2_tarski(B,k1_relat_1(A)) & ! [C] : ( r2_tarski(C,k1_relat_1(A)) => ( C = B | r2_hidden(k4_tarski(C,B),A) ) ) ) ) ) )).
fof(d14_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k10_ordinal2(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k1_ordinal1(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k4_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(d14_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r1_lang1(k2_osafree(A,B),k9_osafree(A,B,k2_osalg_1(A,C,k11_osafree(A,B,D))),k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),D)) => k12_osafree(A,B,C,D) = k8_trees_4(u1_struct_0(k2_osafree(A,B)),k9_osafree(A,B,k2_osalg_1(A,C,k11_osafree(A,B,D))),D) ) ) ) ) ) )).
fof(d14_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r2_osalg_1(A,C,k1_msualg_1(A,B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( D = k2_osalg_1(A,B,C) <=> r3_osalg_1(A,B,D,C) ) ) ) ) ) ) )).
fof(d14_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( C = k12_osalg_2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( v3_msualg_1(D,A) & v12_osalg_1(D,A) & m1_msualg_2(D,A,B) ) ) ) ) ) )).
fof(d14_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_osalg_4(D,A,C) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)))) ) => ( E = k10_osalg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),k2_msualg_1(A,B))) => k1_funct_1(E,F) = k8_osalg_4(A,C,D,k2_msualg_1(A,B),F) ) ) ) ) ) ) ) )).
fof(d14_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m1_pboole(C,A,B) <=> ! [D] : ( r2_hidden(D,A) => m1_subset_1(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(d14_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r4_pdiff_1(A,B,C,D,E) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(B)) => ( F = k11_pdiff_1(A,B,C,D,E) <=> ? [G] : ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & ? [H] : ( m1_subset_1(H,u1_struct_0(k4_real_ns1(A))) & D = G & E = H & F = k1_funct_1(k9_pdiff_1(A,B,C,G,H),k12_finseq_1(k4_ordinal1,1)) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r5_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k5_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,E) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,k1_pdiff_3(2,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(2,3,A),B),J),k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(2,3,A),B),E)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,E)),k1_funct_1(I,k6_xcmplx_0(J,E))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k13_petri(A,B) = B ) ) )).
fof(d14_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_petri_2(D,u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_petri_2(A),k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) => ( G = k9_petri_3(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_petri_2(A)) => ( ( ( r2_tarski(F,k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),D)) & H = k1_funct_1(E,F) ) => k6_petri_3(A,G,H) = k1_nat_1(k6_petri_3(A,k5_petri_3(A,B,F),H),1) ) & ( ~ ( r2_tarski(F,k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),D)) & H = k1_funct_1(E,F) ) => k6_petri_3(A,G,H) = k6_petri_3(A,k5_petri_3(A,B,F),H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ! [D] : ( m2_funct_2(D,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ( ( C = k1_xboole_0 => ( D = k7_petri_df(A,B,C) <=> r2_relset_1(u1_struct_0(A),k4_ordinal1,D,B) ) ) & ( C != k1_xboole_0 => ( D = k7_petri_df(A,B,C) <=> ? [E] : ( m2_finseq_1(E,k4_petri_df(A)) & k3_finseq_1(C) = k3_finseq_1(E) & D = k7_partfun1(k4_petri_df(A),E,k3_finseq_1(E)) & k7_partfun1(k4_petri_df(A),E,1) = k6_petri_df(A,B,k7_partfun1(u4_struct_0(A),C,1)) & ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),F) & ~ r1_xxreal_0(F,k5_numbers) & k7_partfun1(k4_petri_df(A),E,k1_nat_1(F,1)) != k6_petri_df(A,k7_partfun1(k4_petri_df(A),E,F),k7_partfun1(u4_struct_0(A),C,k1_nat_1(F,1))) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => k12_pnproc_1(A,B) = k6_domain_1(k3_finseq_2(B),k2_pre_poly(B)) ) )).
fof(d14_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => k14_polyform(A,B) = k7_bspace(k5_polyform(A,B)) ) ) )).
fof(d14_polyred,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r11_polyred(A,B,C,D) <=> r2_tarski(k5_algstr_0(A,C,D),B) ) ) ) ) ) )).
fof(d14_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => k14_pralg_2(A,B,C) = g3_msualg_1(B,k10_pralg_2(A,B,C),k13_pralg_2(A,B,C)) ) ) )).
fof(d14_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( B = k17_pre_poly(A) <=> ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r2_hidden(k4_tarski(C,D),B) <=> r2_pre_poly(A,C,D) ) ) ) ) ) ) )).
fof(d14_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => k19_prvect_1(A) = g2_algstr_0(k4_card_3(k14_prvect_1(A)),k12_prvect_1(k14_prvect_1(A),k16_prvect_1(A)),k18_prvect_1(A)) ) )).
fof(d14_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k13_pscomp_1(A) = k19_euclid(k8_pscomp_1(A),k9_pscomp_1(A)) ) )).
fof(d14_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m3_pua2mss1(B,A) => ! [C] : ( ( v1_msualg_1(C) & l1_msualg_1(C) ) => ( C = k11_pua2mss1(A,B) <=> ( u1_struct_0(C) = B & u4_struct_0(C) = a_2_2_pua2mss1(A,B) & ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [E] : ( m2_finseq_2(E,B,k3_finseq_2(B)) => ( ~ r2_subset_1(k4_card_3(E),k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,D))) => ( k1_funct_1(u1_msualg_1(C),k4_tarski(D,E)) = E & r1_tarski(k7_relset_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k2_pua2mss1(A,D),k4_card_3(E)),k1_funct_1(u2_msualg_1(C),k4_tarski(D,E))) ) ) ) ) ) ) ) ) ) )).
fof(d14_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => k12_qc_lang1(A) = k9_finseq_1(k4_tarski(k5_numbers,k5_numbers)) ) )).
fof(d14_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k10_qc_lang2(A,B) = k18_qc_lang1(A,k19_qc_lang1(A,k18_qc_lang1(A,B))) ) ) )).
fof(d14_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A)),k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A)),k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))))) ) => ( B = k11_qmax_1(A) <=> ! [C] : ( m1_subset_1(C,k5_qmax_1(A)) => k1_funct_1(B,k6_eqrel_1(k5_qmax_1(A),k5_qmax_1(A),k9_qmax_1(A),C)) = k6_eqrel_1(k5_qmax_1(A),k5_qmax_1(A),k9_qmax_1(A),k8_qmax_1(A,C)) ) ) ) ) )).
fof(d14_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( ( r2_tarski(A,k2_numbers) => ( B = k14_quaterni(A) <=> B = k5_numbers ) ) & ( ~ r2_tarski(A,k2_numbers) => ( B = k14_quaterni(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,4,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(4,k1_numbers))) & A = C & B = k1_funct_1(C,2) ) ) ) ) ) )).
fof(d14_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k7_quofield(A),k7_quofield(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)))) ) => ( B = k17_quofield(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k3_funct_2(k7_quofield(A),k7_quofield(A),B,C) = k13_quofield(A,C) ) ) ) ) )).
fof(d14_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(B)) ) => ! [E] : ( ( v3_card_1(E,A) & m2_finseq_1(E,k3_radix_1(B)) ) => ( E = k14_radix_1(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(A)) => k4_radix_1(F,B,A,E) = k13_radix_1(B,F,A,C,D) ) ) ) ) ) ) ) ) )).
fof(d14_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l5_algstr_0(A) ) => k8_ratfunc1(A) = k3_ratfunc1(A,k10_polynom3(A),k10_polynom3(A)) ) )).
fof(d14_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( C = k8_relat_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( r2_hidden(k4_tarski(D,E),A) & r2_hidden(E,B) ) ) ) ) )).
fof(d14_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v6_relat_2(A) <=> r6_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d14_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_rewrite1(A) <=> ! [B] : ( r2_hidden(B,k1_relat_1(A)) => r9_rewrite1(A,B) ) ) ) )).
fof(d14_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : k21_rfunct_3(A,B,C) = k18_rvsum_1(k20_rfunct_3(A,B,C)) ) ) )).
fof(d14_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_rltopsp1(A,B,C) = a_3_2_rltopsp1(A,B,C) ) ) ) )).
fof(d14_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( B = k11_rlvect_2(A) <=> ! [C] : ( r2_tarski(C,B) <=> m1_rlvect_2(C,A) ) ) ) )).
fof(d14_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( ( v2_vectsp_2(D,A) & m1_rmod_2(D,A,B) ) => ( D = k10_rmod_4(A,B,C) <=> u1_struct_0(D) = a_3_1_rmod_4(A,B,C) ) ) ) ) ) )).
fof(d14_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k9_robbins1(A,B,C) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),C)) ) ) ) )).
fof(d14_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( C = k5_roughs_2(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),C,D) = k3_subset_1(A,k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,k3_subset_1(A,D))) ) ) ) ) )).
fof(d14_rvsum_1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k20_rvsum_1(A) = k1_finsop_1(k2_numbers,A,k5_binop_2) ) )).
fof(d14_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k17_scm_comp(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_dtconstr(k1_scm_comp),k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k1_scm_comp),k4_ordinal1))) & B = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,C,A) & ! [D] : ( m2_subset_1(D,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,C,k3_scm_comp(D)) = k16_scm_comp(D) ) & ! [D] : ( m2_subset_1(D,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k1_scm_comp)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_scm_comp)) => ( ( G = k1_bintree1(u1_struct_0(k1_scm_comp),E) & H = k1_bintree1(u1_struct_0(k1_scm_comp),F) & r1_lang1(k1_scm_comp,D,k4_pre_poly(u1_struct_0(k1_scm_comp),G,H)) ) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( ( I = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,C,E) & J = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,C,F) ) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,C,k2_scm_comp(D,E,F)) = k5_nat_1(I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d14_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( C = k12_scmfsa_2(A,B) <=> ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_ami_3)) & B = D & C = k8_ami_3(A,D) ) ) ) ) ) )).
fof(d14_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k13_scmpds_2(A,B,C,D) = k3_xtuple_0(10,k1_xboole_0,k7_finseq_4(A,B,C,D)) ) ) ) ) )).
fof(d14_scmpds_i,axiom,( k15_scmpds_i = 1 )).
fof(d14_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ! [C] : ( m1_subset_1(C,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => ( ( ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & ? [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) & B = k3_xtuple_0(1,k1_xboole_0,k10_finseq_1(D,E)) ) ) => k7_scmring1(A,B,C) = k3_scmring1(A,k4_scmring1(A,C,k2_scmringi(A,B),k5_scmring1(A,C,k3_scmringi(A,B))),k2_xcmplx_0(k2_scmring1(A,C),1)) ) & ( ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & ? [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) & B = k3_xtuple_0(2,k1_xboole_0,k10_finseq_1(D,E)) ) ) => k7_scmring1(A,B,C) = k3_scmring1(A,k4_scmring1(A,C,k2_scmringi(A,B),k1_algstr_0(A,k5_scmring1(A,C,k2_scmringi(A,B)),k5_scmring1(A,C,k3_scmringi(A,B)))),k2_xcmplx_0(k2_scmring1(A,C),1)) ) & ( ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & ? [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) & B = k3_xtuple_0(3,k1_xboole_0,k10_finseq_1(D,E)) ) ) => k7_scmring1(A,B,C) = k3_scmring1(A,k4_scmring1(A,C,k2_scmringi(A,B),k5_algstr_0(A,k5_scmring1(A,C,k2_scmringi(A,B)),k5_scmring1(A,C,k3_scmringi(A,B)))),k2_xcmplx_0(k2_scmring1(A,C),1)) ) & ( ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & ? [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) & B = k3_xtuple_0(4,k1_xboole_0,k10_finseq_1(D,E)) ) ) => k7_scmring1(A,B,C) = k3_scmring1(A,k4_scmring1(A,C,k2_scmringi(A,B),k6_algstr_0(A,k5_scmring1(A,C,k2_scmringi(A,B)),k5_scmring1(A,C,k3_scmringi(A,B)))),k2_xcmplx_0(k2_scmring1(A,C),1)) ) & ( ? [D] : ( m1_subset_1(D,k4_ordinal1) & B = k3_xtuple_0(6,k12_finseq_1(k4_ordinal1,D),k1_xboole_0) ) => k7_scmring1(A,B,C) = k3_scmring1(A,C,k4_scmringi(A,B)) ) & ( ? [D] : ( m1_subset_1(D,k4_ordinal1) & ? [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) & B = k3_xtuple_0(7,k12_finseq_1(k4_ordinal1,D),k12_finseq_1(k2_ami_2,E)) ) ) => k7_scmring1(A,B,C) = k3_scmring1(A,C,k15_funcop_1(k5_scmring1(A,C,k6_scmringi(A,B)),k4_struct_0(A),k5_scmringi(A,B),k2_xcmplx_0(k2_scmring1(A,C),1))) ) & ( ? [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & B = k3_xtuple_0(5,k1_xboole_0,k6_scmring1(A,D,E)) ) ) => k7_scmring1(A,B,C) = k3_scmring1(A,k4_scmring1(A,C,k8_scmringi(A,B),k9_scmringi(A,B)),k2_xcmplx_0(k2_scmring1(A,C),1)) ) & ( ( ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => ! [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) => B != k3_xtuple_0(1,k1_xboole_0,k10_finseq_1(D,E)) ) ) & ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => ! [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) => B != k3_xtuple_0(2,k1_xboole_0,k10_finseq_1(D,E)) ) ) & ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => ! [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) => B != k3_xtuple_0(3,k1_xboole_0,k10_finseq_1(D,E)) ) ) & ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => ! [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) => B != k3_xtuple_0(4,k1_xboole_0,k10_finseq_1(D,E)) ) ) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => B != k3_xtuple_0(6,k12_finseq_1(k4_ordinal1,D),k1_xboole_0) ) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) => B != k3_xtuple_0(7,k12_finseq_1(k4_ordinal1,D),k12_finseq_1(k2_ami_2,E)) ) ) & ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => B != k3_xtuple_0(5,k1_xboole_0,k6_scmring1(A,D,E)) ) ) ) => k7_scmring1(A,B,C) = C ) ) ) ) ) )).
fof(d14_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ( v1_seq_4(B,A) <=> ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(A)) => ( ~ r1_xxreal_0(D,k20_seq_4(E)) => r2_tarski(k13_seq_4(A,C,E),B) ) ) ) ) ) ) ) ) ) )).
fof(d14_sgraph1,axiom,( k8_sgraph1 = k7_sgraph1(3) )).
fof(d14_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) ) => ( v11_sheffer1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,C,C))) = k5_sheffer1(A,B,B) ) ) ) ) )).
fof(d14_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ! [C] : ( m2_simplex0(C,A,B) => ( v7_simplex0(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( r2_tarski(D,u1_pre_topc(B)) => v3_pre_topc(D,C) ) ) ) ) ) )).
fof(d14_sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k13_sin_cos <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k11_comseq_3(k3_sin_cos(B)) ) ) ) )).
fof(d14_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_stacks_1(A,B,C) <=> k9_stacks_1(A,B) = k9_stacks_1(A,C) ) ) ) ) )).
fof(d14_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k6_struct_0(A,B,C) = k8_funcop_1(u1_struct_0(B),u1_struct_0(A),C) ) ) ) )).
fof(d14_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => ! [D] : ( r1_substut1(A,B,C,D) <=> ( ( v5_qc_lang1(B,A) => D = k14_substut1(A,k21_qc_lang1(A,B),k22_qc_lang1(A,B),k7_substut1(A,k21_qc_lang1(A,B),B,C)) ) & ( ~ v5_qc_lang1(B,A) => D = k1_xboole_0 ) ) ) ) ) ) )).
fof(d14_supinf_2,axiom,( k18_supinf_2 = 1 )).
fof(d14_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_finseq_1(B,k1_topalg_6(A)) => ( ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k6_topalg_6(A,B) = k1_funct_1(k5_topalg_6(A,B),k3_finseq_1(B)) ) & ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k6_topalg_6(A,B) = k1_xboole_0 ) ) ) ) )).
fof(d14_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k11_toprealb(k10_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_toprealb(k10_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))))))) ) => ( A = k15_toprealb <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k11_toprealb(k10_toprealb))) => ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k19_euclid(C,D) & ( r1_xxreal_0(k5_numbers,D) => k3_funct_2(u1_struct_0(k11_toprealb(k10_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2))))),A,B) = k2_xcmplx_0(1,k7_xcmplx_0(k4_sin_cos6(C),k3_xcmplx_0(2,k28_sin_cos))) ) & ( r1_xxreal_0(D,k5_numbers) => k3_funct_2(u1_struct_0(k11_toprealb(k10_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2))))),A,B) = k6_xcmplx_0(1,k7_xcmplx_0(k4_sin_cos6(C),k3_xcmplx_0(2,k28_sin_cos))) ) ) ) ) ) ) )).
fof(d14_trees_1,axiom,( k8_trees_1 = a_0_0_trees_1 )).
fof(d14_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( m4_trees_3(B,A) <=> ! [C] : ( m1_trees_1(C,B) => ~ ( ~ r2_tarski(C,A) & ! [D] : ( m3_trees_3(D,A) => ~ r2_xboole_0(D,C) ) ) ) ) ) ) )).
fof(d14_turing_1,axiom,( ! [A] : ( ( v1_turing_1(A) & l1_turing_1(A) ) => ( A = k13_turing_1 <=> ( u1_turing_1(A) = k7_domain_1(k4_ordinal1,k5_numbers,1) & u2_turing_1(A) = k3_turing_1(5) & r1_funct_2(k2_zfmisc_1(u2_turing_1(A),u1_turing_1(A)),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(5),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(5),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),u3_turing_1(A),k12_turing_1) & u4_turing_1(A) = k5_numbers & u5_turing_1(A) = 5 ) ) ) )).
fof(d14_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k15_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k8_margrel1(k9_margrel1(k9_margrel1(k8_margrel1(B),k8_margrel1(C)),D)) ) ) ) ) ) )).
fof(d14_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( B = k9_unialg_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_unialg_1(C) & m1_unialg_2(C,A) ) ) ) ) )).
fof(d14_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ( v6_valued_0(A) <=> ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d14_valued_2,axiom,( ! [A] : ! [B] : ( B = k8_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_numbers))) ) ) ) )).
fof(d14_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v9_vectsp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_vectsp_1(A,B,k1_algstr_0(A,C,D),E) = k1_algstr_0(B,k3_vectsp_1(A,B,C,E),k3_vectsp_1(A,B,D,E)) ) ) ) ) ) ) )).
fof(d14_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_waybel34(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v1_waybel_3(D,A) => v1_waybel_3(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(d14_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v11_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_waybel_0(A,B,a_3_1_waybel_0(A,B,C)) ) ) ) ) )).
fof(d14_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v7_waybel_1(B,A) <=> ( v6_waybel_1(B,A) & r1_yellow_2(u1_struct_0(A),A,k3_struct_0(A),B) ) ) ) ) )).
fof(d14_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_yellow_1(k3_waybel_4(A))),u1_struct_0(k8_waybel_4(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k3_waybel_4(A))),u1_struct_0(k8_waybel_4(A))))) ) => ( B = k9_waybel_4(A) <=> ! [C] : ( ( v5_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k1_funct_1(B,C) = k7_waybel_4(A,C) ) ) ) ) )).
fof(d14_xtuple_0,axiom,( ! [A] : k11_xtuple_0(A) = k9_xtuple_0(k9_xtuple_0(A)) )).
fof(d14_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_yellow_0(B,A) => ( v4_yellow_0(B,A) <=> u1_orders_2(B) = k1_toler_1(u1_orders_2(A),u1_struct_0(B)) ) ) ) )).
fof(d14_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k8_yellow_6(A,B) = k7_lattice3(k1_yellow_1(a_2_0_yellow_6(A,B))) ) ) )).
fof(d14_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v6_zf_lang(A) <=> ? [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) & ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k7_zf_lang(B,C) ) ) ) ) )).
fof(d14_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,A) ) => ( D = k6_zmodul01(A,B,C) <=> u1_struct_0(D) = a_3_2_zmodul01(A,B,C) ) ) ) ) ) )).
fof(d14_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k14_zmodul02(A) = u1_zmodul01(A) ) )).
fof(d15_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ( r1_abcmiz_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,k3_abcmiz_0(A,C)) & r1_orders_2(A,D,B) ) ) ) ) ) )).
fof(d15_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => k14_abcmiz_1(A) = k8_abcmiz_1 ) )).
fof(d15_abcmiz_a,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v6_abcmiz_a(B,A) <=> k3_finseq_1(k1_msualg_1(A,B)) = 2 ) ) ) )).
fof(d15_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v5_absred_0(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ! [C] : ( v7_ordinal1(C) => r1_absred_0(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,k1_nat_1(C,1))) ) ) ) ) )).
fof(d15_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_2(D,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [E] : ( m2_finseq_2(E,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [F] : ( m2_finseq_2(F,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ( F = k17_aescip_1(A,B,C,D,E) <=> ? [G] : ( m2_finseq_1(G,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & k3_finseq_1(G) = k6_xcmplx_0(k2_xcmplx_0(7,C),1) & ? [H] : ( m2_finseq_2(H,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & H = k1_funct_1(k1_descip_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k2_xcmplx_0(7,C),k1_aescip_1(k2_xcmplx_0(7,C),4,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,C),E)),1) & k1_funct_1(G,1) = k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k7_aescip_1,k5_aescip_1(A)),k2_aescip_1(4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k8_aescip_1,D,H)) ) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & ~ r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(7,C),1),H) & ! [I] : ( m2_finseq_2(I,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ~ ( I = k1_funct_1(k1_descip_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k2_xcmplx_0(7,C),k1_aescip_1(k2_xcmplx_0(7,C),4,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,C),E)),k1_nat_1(H,1)) & k1_funct_1(G,k1_nat_1(H,1)) = k1_funct_1(k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k2_funct_2(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),B),k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k7_aescip_1,k5_aescip_1(A))),k1_binop_1(k8_aescip_1,k1_funct_1(G,H),I)) ) ) ) ) & ? [H] : ( m2_finseq_2(H,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & H = k1_funct_1(k1_descip_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k2_xcmplx_0(7,C),k1_aescip_1(k2_xcmplx_0(7,C),4,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,C),E)),k2_xcmplx_0(7,C)) & F = k1_binop_1(k8_aescip_1,k1_funct_1(G,k6_xcmplx_0(k2_xcmplx_0(7,C),1)),H) ) ) ) ) ) ) ) ) ) )).
fof(d15_algstr_4,axiom,( ! [A] : k12_algstr_4(A) = k3_card_3(k2_card_3(k2_partfun1(k4_ordinal1,k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),k10_algstr_4(A),k6_nat_lat))) )).
fof(d15_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ( v11_altcat_1(A) <=> v3_altcat_1(u2_altcat_1(A),u1_struct_0(A),u1_altcat_1(A)) ) ) )).
fof(d15_ami_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k3_scm_inst,k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k3_scm_inst,k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)))))) ) => ( A = k9_ami_2 <=> ! [B] : ( m1_subset_1(B,k3_scm_inst) => ! [C] : ( m1_subset_1(C,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => k1_funct_1(k3_funct_2(k3_scm_inst,k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))),A,B),C) = k8_ami_2(B,C) ) ) ) ) )).
fof(d15_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r8_analmetr(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & D != E & F != G & B = k3_analmetr(A,D,E) & C = k3_analmetr(A,F,G) & r2_analoaf(A,D,E,F,G) ) ) ) ) ) ) ) ) )).
fof(d15_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & l1_unialg_1(A) ) => ( v8_aofa_000(A) <=> ? [B] : ( ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,u1_struct_0(A)) & v8_comput_1(B,2) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) & B = k1_funct_1(u1_unialg_1(A),2) & r1_aofa_000(B,k1_funct_1(k2_pua2mss1(A,k10_subset_1(1,k4_finseq_1(u1_unialg_1(A)))),k1_xboole_0)) ) ) ) )).
fof(d15_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),D)) => ( F = k10_aofa_a01(A,B,C,D,E) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)))) & F = k1_funct_1(G,E) & k1_funct_1(G,k5_numbers) = k26_aofa_a00(A,C,D) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,C),D)) => ( k1_funct_1(G,H) = I => ( k1_funct_1(G,k2_xcmplx_0(H,1)) = k29_aofa_a00(A,C,D,I,k27_aofa_a00(A,C,D)) & k1_funct_1(G,k4_xcmplx_0(k2_xcmplx_0(H,1))) = k28_aofa_a00(A,C,D,k29_aofa_a00(A,C,D,I,k27_aofa_a00(A,C,D))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(B,k4_numbers),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k9_funct_2(B,k4_numbers),k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),k4_numbers))) ) => ( r2_aofa_i00(A,B,C,D,E,F) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,k18_aofa_000(A)) & ! [H] : ( m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) => k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,G) = k14_funct_7(B,k4_numbers,H,k3_funct_2(k9_funct_2(B,k4_numbers),B,E,H),k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(d15_aofa_l00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v2_relat_1(C) & m3_pboole(C,A,B) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_msafree4(E,A,C,k1_msafree4(A,C,D)) => k9_aofa_l00(A,B,C,D,E) = E ) ) ) ) ) )).
fof(d15_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v7_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r1_tarski(D,C) => r2_tarski(k6_armstrng(A,C,D),B) ) ) ) ) ) )).
fof(d15_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k12_asympt_0(A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => k8_nat_1(k1_numbers,C,D) = k8_nat_1(k1_numbers,A,k3_xcmplx_0(B,D)) ) ) ) ) ) )).
fof(d15_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => k13_bagorder(A) = k3_tarski(k10_xtuple_0(k12_bagorder(A))) ) )).
fof(d15_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => k5_bcialg_1(A) = a_1_1_bcialg_1(A) ) )).
fof(d15_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => k5_bcialg_2(A) = a_1_1_bcialg_2(A) ) )).
fof(d15_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_1(B,A) => ! [C] : ( ( v12_bcialg_1(C,A) & m2_bcialg_1(C,A) ) => ! [D] : ( m5_bcialg_2(D,A,C) => ! [E] : ( m2_subset_1(E,u1_struct_0(A),k6_bcialg_6(A,B,C,D)) => ! [F] : ( m2_subset_1(F,u1_struct_0(A),k6_bcialg_6(A,B,C,D)) => k10_bcialg_6(A,B,C,D,E,F) = k4_binop_1(k6_bcialg_6(A,B,C,D),k7_bcialg_6(A,B,C,D),E,F) ) ) ) ) ) ) )).
fof(d15_bilinear,axiom,( ! [A] : ( l2_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => k10_bilinear(A,B,C,D) = a_4_0_bilinear(A,B,C,D) ) ) ) ) )).
fof(d15_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers))) ) => ( A = k15_binop_2 <=> ! [B] : ( v1_rat_1(B) => ! [C] : ( v1_rat_1(C) => k1_binop_1(A,B,C) = k2_xcmplx_0(B,C) ) ) ) ) )).
fof(d15_borsuk_1,axiom,( k19_borsuk_1 = 1 )).
fof(d15_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_eqrel_1(C,A) => ( r2_bvfunc_1(A,B,C) <=> ! [D] : ( r2_tarski(D,C) => ! [E] : ! [F] : ( ( r2_tarski(E,D) & r2_tarski(F,D) ) => k1_funct_1(B,E) = k1_funct_1(B,F) ) ) ) ) ) ) )).
fof(d15_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( r2_hidden(B,k6_c0sp1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( C = k8_c0sp1(A,B) <=> ( C = B & v1_comseq_2(k2_partfun1(A,k1_numbers,C,A)) ) ) ) ) ) )).
fof(d15_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r10_calcul_1(A,B,C) <=> ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_valuat_1(E,A,D) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),D,k2_valuat_1(A,D)) => ( r9_calcul_1(A,B,D,E,F) => r1_valuat_1(A,D,C,E,F) ) ) ) ) ) ) ) ) )).
fof(d15_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( v6_card_fil(A) <=> ( v1_card_5(A) & v5_card_fil(A) ) ) ) )).
fof(d15_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v8_cat_1(D,A,B,C) <=> ( k2_cat_1(A,B,C) != k1_xboole_0 & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k2_cat_1(A,C,E) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,A,C,E) => ! [G] : ( m1_cat_1(G,A,C,E) => ( k5_cat_1(A,B,C,E,D,F) = k5_cat_1(A,B,C,E,D,G) => F = G ) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( r2_cat_3(A,B,C,D) <=> ( k3_graph_1(A,C) = B & k3_graph_1(A,D) = B & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ~ ( r2_tarski(F,k2_cat_1(A,E,k4_graph_1(A,C))) & r2_tarski(G,k2_cat_1(A,E,k4_graph_1(A,D))) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ~ ( r2_tarski(H,k2_cat_1(A,E,B)) & ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ( r2_tarski(I,k2_cat_1(A,E,B)) => ( ( k1_cat_1(A,I,C) = F & k1_cat_1(A,I,D) = G ) <=> H = I ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k14_cat_4(A,B,C) = k9_cat_4(A,C,B,k2_cat_4(A,B,C),k8_cat_4(A,B,C),k7_cat_4(A,B,C)) ) ) ) )).
fof(d15_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v12_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => v11_cat_6(B,A) ) ) ) )).
fof(d15_cat_7,axiom,( ! [A] : ( v3_ordinal1(A) => k6_cat_7(A) = o_1_2_cat_7(A) ) )).
fof(d15_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m3_chain_1(D,A,B,k1_nat_1(C,1)) => k10_chain_1(A,B,C,D) = k5_chain_1(A,B,C) ) ) ) ) )).
fof(d15_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,C))) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_msafree2(E) & l1_msualg_1(E) ) => ! [F] : ( ( v4_msualg_1(F,E) & v4_msafree2(F,E) & l3_msualg_1(F,E) ) => ( r7_circtrm1(A,B,C,D,E,F) <=> ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & r4_circtrm1(k1_circtrm1(A,C,D),E,G,H,k6_circtrm1(A,C,D,B),F) & r3_circtrm1(k1_circtrm1(A,C,D),E,G) ) ) ) ) ) ) ) ) ) )).
fof(d15_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v9_clvect_1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,F),C))) ) ) ) ) ) ) ) ) )).
fof(d15_coh_sp,axiom,( ! [A] : k13_coh_sp(A) = g1_cat_1(k3_coh_sp(A),k5_coh_sp(A),k10_coh_sp(A),k11_coh_sp(A),k12_coh_sp(A)) )).
fof(d15_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v10_cohsp_1(A) <=> ( v9_cohsp_1(A) & v4_cohsp_1(A) ) ) ) )).
fof(d15_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ( v4_compos_1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ( ( k1_funct_1(B,C) = k2_compos_1(A) & r2_tarski(C,k9_xtuple_0(B)) ) => C = k62_valued_1(B) ) ) ) ) ) )).
fof(d15_comput_1,axiom,( k9_comput_1 = k1_setfam_1(a_0_0_comput_1) )).
fof(d15_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ( m1_conlat_1(B,A) <=> ! [C] : ( r2_tarski(C,B) => ( ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) ) ) ) ) )).
fof(d15_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k10_convex4(A),k10_convex4(A)),k10_convex4(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_convex4(A),k10_convex4(A)),k10_convex4(A)))) ) => ( B = k13_convex4(A) <=> ! [C] : ( m1_subset_1(C,k10_convex4(A)) => ! [D] : ( m1_subset_1(D,k10_convex4(A)) => k4_binop_1(k10_convex4(A),B,C,D) = k5_convex4(A,k11_convex4(A,C),k11_convex4(A,D)) ) ) ) ) ) )).
fof(d15_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k11_csspace(A,B) = k3_square_1(k9_complex1(k10_csspace(A,B,B))) ) ) )).
fof(d15_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k10_decomp_1(A) = a_1_4_decomp_1(A) ) )).
fof(d15_descip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)))) ) => ( A = k25_descip_1 <=> ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => k3_funct_2(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),A,B) = k24_descip_1(B) ) ) ) )).
fof(d15_dickson,axiom,( k11_dickson = g1_orders_2(k4_ordinal1,k10_dickson) )).
fof(d15_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m4_dist_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k12_dist_2(A,B,C,D) = k6_dist_2(A,k11_dist_2(A,B,C),D) ) ) ) ) )).
fof(d15_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k17_dualsp01(A) = g1_normsp_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k16_dualsp01(A)) ) )).
fof(d15_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k13_e_siec(A) = k2_relat_1(k2_xboole_0(u1_e_siec(A),u2_e_siec(A))) ) )).
fof(d15_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_ens_1(A))) => k13_ens_1(A,B) = B ) ) )).
fof(d15_exchsort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ! [C] : ( m2_exchsort(C,A,B) => ( v6_exchsort(C,A,B) <=> v5_exchsort(k4_exchsort(C),A) ) ) ) ) )).
fof(d15_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r1_extpro_1(A,B,C,D) => ! [E] : ( v7_ordinal1(E) => ( E = k8_extpro_1(A,B,C,D) <=> ( k3_extpro_1(A,B,C,k5_extpro_1(A,B,C,D,E)) = k2_compos_1(B) & ! [F] : ( v7_ordinal1(F) => ( k3_extpro_1(A,B,C,k5_extpro_1(A,B,C,D,F)) = k2_compos_1(B) => r1_xxreal_0(E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k12_facirc_1(A,B,C) = k9_facirc_1(A,B,C,k1_facirc_1) )).
fof(d15_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k15_ff_siec(A) = k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))) ) )).
fof(d15_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_fin_topo(B,A) <=> B = k9_fin_topo(A,B) ) ) ) )).
fof(d15_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k16_finseq_1(A,B) = k5_relat_1(B,k2_finseq_1(A)) ) ) )).
fof(d15_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k14_fintopo2(A,B) = k9_subset_1(u1_struct_0(A),k3_subset_1(u1_struct_0(A),B),k8_fintopo2(A,B)) ) ) )).
fof(d15_fomodel0,axiom,( ! [A] : ! [B] : k13_fomodel0(A,B) = B )).
fof(d15_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel2(A,B),k32_fomodel1(A)),k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel2(A,B),k32_fomodel1(A)),k5_margrel1))) ) => ( C = k16_fomodel2(A,B) <=> ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [E] : ( m2_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k32_fomodel1(A)) => k2_binop_1(k15_fomodel2(A,B),k32_fomodel1(A),k5_margrel1,C,D,E) = k13_fomodel2(A,B,D,E) ) ) ) ) ) ) )).
fof(d15_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( m2_fomodel2(E,A,B,C) => ( ( ~ v7_fomodel1(C,A) => k20_fomodel3(A,B,C,D,E) = k4_relset_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),k8_eqrel_1(B,D)),k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k13_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C)))),k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k13_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C)))),k8_eqrel_1(B,D),k19_fomodel3(B,k1_int_2(k19_fomodel1(A,C)),D),k12_fomodel3(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),B,k13_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C))),D,E)) ) & ( v7_fomodel1(C,A) => k20_fomodel3(A,B,C,D,E) = k4_relset_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),k8_eqrel_1(B,D)),k8_eqrel_1(k5_margrel1,k3_fomodel2(k5_margrel1)),k10_eqrel_1(k5_margrel1),k5_margrel1,k4_relset_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),k8_eqrel_1(B,D)),k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k13_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C)))),k8_eqrel_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k13_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C)))),k8_eqrel_1(k5_margrel1,k3_fomodel2(k5_margrel1)),k19_fomodel3(B,k1_int_2(k19_fomodel1(A,C)),D),k12_fomodel3(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k5_margrel1,k13_fomodel3(B,D,k1_int_2(k19_fomodel1(A,C))),k3_fomodel2(k5_margrel1),E)),k15_fomodel3(k5_margrel1)) ) ) ) ) ) ) ) )).
fof(d15_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( v10_fomodel4(C,A,B) <=> ? [D] : ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ? [E] : ( v4_fomodel2(E,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v9_fomodel4(D,A,B,C) & v9_fomodel4(k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),D),E),A,B,C) ) ) ) ) ) )).
fof(d15_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k3_freealg(A,B))) => ( ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(k3_freealg(A,B),C,D) ) => k11_freealg(A,B,C) = C ) ) ) )).
fof(d15_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_eqrel_1(D,u1_struct_0(C)) => ( D = k8_fsm_1(A,B,C) <=> v4_fsm_1(D,A,B,C) ) ) ) ) ) )).
fof(d15_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k15_ftacell1(A,B,C,D,E) = k33_gfacirc1(A,B,C) )).
fof(d15_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( ( v10_functor0(C,A,B) & l2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) != k1_xboole_0 & ~ ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => k6_functor0(A,B,C,D,E,F) = k1_funct_1(k5_functor0(A,B,C,D,E),F) ) ) ) ) ) ) ) )).
fof(d15_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_rmod_2(C,A,k3_vectsp_2(A)) => ( m2_fvaluat1(C,A,B) <=> u1_struct_0(C) = B ) ) ) ) )).
fof(d15_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) ) => k15_gate_1(A,B,C,D) = k1_gate_1(k1_xboole_0) ) & ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & k15_gate_1(A,B,C,D) != k1_xboole_0 ) ) )).
fof(d15_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k15_gate_5(A,B,C,D,E) = k3_gate_1(k2_gate_1(C,D),k2_gate_1(k3_gate_1(C,D),k11_gate_1(A,B,E))) )).
fof(d15_gaussint,axiom,( k12_gaussint = k2_partfun1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers,k5_binop_2,k2_zfmisc_1(u1_struct_0(k11_gaussint),k8_gaussint)) )).
fof(d15_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v3_gcd_1(A) & l5_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r8_gcd_1(A,B,C,D) <=> ( k5_gcd_1(A,B,C,D) = k5_struct_0(A) & r2_tarski(D,B) & D != k4_struct_0(A) ) ) ) ) ) ) )).
fof(d15_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r3_glib_000(A,B,C,D) <=> ( r2_hidden(D,k7_glib_000(A)) & ( ( r2_tarski(k1_funct_1(k10_glib_000(A),D),B) & r2_tarski(k1_funct_1(k11_glib_000(A),D),C) ) | ( r2_tarski(k1_funct_1(k10_glib_000(A),D),C) & r2_tarski(k1_funct_1(k11_glib_000(A),D),B) ) ) ) ) ) )).
fof(d15_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m2_glib_001(C,A) => ( C = k12_glib_001(A,B) <=> ( k3_finseq_1(B) = k1_nat_1(k2_nat_1(2,k3_finseq_1(C)),1) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => k1_funct_1(C,D) = k1_funct_1(B,k3_xcmplx_0(2,D)) ) ) ) ) ) ) ) )).
fof(d15_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) => ( ( k12_glib_004(A,B) = k1_xboole_0 => k14_glib_004(A,B) = B ) & ( r2_tarski(k1_funct_1(k10_glib_000(A),o_2_1_glib_004(A,B)),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B)) => ( k12_glib_004(A,B) = k1_xboole_0 | k14_glib_004(A,B) = k4_tarski(k2_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B),k1_tarski(k1_funct_1(k11_glib_000(A),o_2_1_glib_004(A,B)))),k2_xboole_0(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B),k1_tarski(o_2_1_glib_004(A,B)))) ) ) & ~ ( k12_glib_004(A,B) != k1_xboole_0 & ~ ( k12_glib_004(A,B) != k1_xboole_0 & r2_tarski(k1_funct_1(k10_glib_000(A),o_2_1_glib_004(A,B)),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B)) ) & k14_glib_004(A,B) != k4_tarski(k2_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B),k1_tarski(k1_funct_1(k10_glib_000(A),o_2_1_glib_004(A,B)))),k2_xboole_0(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),B),k1_tarski(o_2_1_glib_004(A,B)))) ) ) ) ) )).
fof(d15_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m3_glib_001(C,A) => ( r5_glib_005(A,B,C) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( D = k8_glib_005(A,B,C) <=> ( k1_relset_1(k4_ordinal1,D) = k1_relset_1(k4_ordinal1,k12_glib_001(A,C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,D)) => ( ( r2_glib_000(A,k1_funct_1(C,k6_xcmplx_0(k3_xcmplx_0(2,E),1)),k1_funct_1(C,k1_nat_1(k3_xcmplx_0(2,E),1)),k1_funct_1(C,k3_xcmplx_0(2,E))) => k1_funct_1(D,E) = k6_xcmplx_0(k1_funct_1(k5_glib_003(A),k1_funct_1(C,k3_xcmplx_0(2,E))),k1_funct_1(B,k1_funct_1(C,k3_xcmplx_0(2,E)))) ) & ( ~ r2_glib_000(A,k1_funct_1(C,k6_xcmplx_0(k3_xcmplx_0(2,E),1)),k1_funct_1(C,k1_nat_1(k3_xcmplx_0(2,E),1)),k1_funct_1(C,k3_xcmplx_0(2,E))) => k1_funct_1(D,E) = k1_funct_1(B,k1_funct_1(C,k3_xcmplx_0(2,E))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_graph_1(B,A) => ( v7_graph_1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(B),C) | k1_funct_1(u1_graph_1(A),k1_funct_1(B,k1_nat_1(C,1))) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,C)) ) ) ) ) ) ) )).
fof(d15_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r6_graph_5(A,C) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( D = k9_graph_5(A,B,C) <=> ( k4_finseq_1(B) = k4_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => k1_funct_1(D,E) = k1_funct_1(C,k1_funct_1(B,E)) ) ) ) ) ) ) ) ) ) )).
fof(d15_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_funct_2(B,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ( B = k18_graphsp(A) <=> ( k9_xtuple_0(B) = k3_finseq_2(k1_numbers) & ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => k6_graphsp(B,C) = k17_graphsp(C,A) ) ) ) ) ) )).
fof(d15_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => k11_grcat_1(A) = g1_grcat_1(A,A,k3_struct_0(A)) ) )).
fof(d15_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ! [D] : ( m1_subset_1(D,B) => k13_group_10(A,B,C,D) = a_4_1_group_10(A,B,C,D) ) ) ) ) )).
fof(d15_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k15_group_2(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D = k13_group_2(A,B,E) ) ) ) ) ) ) ) )).
fof(d15_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => k11_group_3(A,B) = k10_group_3(A,k8_group_2(A,B)) ) ) )).
fof(d15_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k7_group_9(A,B,C),k7_group_9(A,B,C)),k7_group_9(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_group_9(A,B,C),k7_group_9(A,B,C)),k7_group_9(A,B,C)))) ) => ( D = k8_group_9(A,B,C) <=> ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,B) & m1_group_2(E,B) ) => ( E = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) => D = k4_group_6(B,E) ) ) ) ) ) ) )).
fof(d15_idea_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k14_idea_1,k14_idea_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) => ( C = k15_idea_1(A,B) <=> ! [D] : ( m2_finseq_1(D,k4_ordinal1) => k1_funct_1(C,D) = k11_idea_1(A,k13_idea_1(k12_idea_1(A,D,B)),B) ) ) ) ) ) )).
fof(d15_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k8_ideal_1(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v1_ideal_1(D,A) & v2_ideal_1(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) ) )).
fof(d15_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v12_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u4_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u4_incsp_1(A)) => ~ ( r2_incsp_1(A,B,C) & r2_incsp_1(A,B,D) & ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ~ ( B != E & r2_incsp_1(A,E,C) & r2_incsp_1(A,E,D) ) ) ) ) ) ) ) ) )).
fof(d15_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => k13_index_1(A,B,C) = k4_tarski(k7_cat_1(A,B,C),k12_mcart_1(C)) ) ) ) )).
fof(d15_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v3_integr15(B,A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k2_finseq_1(A)) => v1_comseq_2(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,B,k1_pdiff_1(C,A))) ) ) ) ) ) )).
fof(d15_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k11_integra1(A,B) = k2_seq_4(k1_rvsum_1(k9_integra1(A,B))) ) ) )).
fof(d15_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_interva1(B,A) => k14_interva1(A,B) = k1_xtuple_0(B) ) ) )).
fof(d15_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_intpro_1)) => ( B = k7_intpro_1(A) <=> ! [C] : ( m1_subset_1(C,k1_intpro_1) => ( r2_tarski(C,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_intpro_1)) => ( ( v8_intpro_1(D) & r1_tarski(A,D) ) => r2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d15_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k15_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k20_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d15_lattad_1,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(1,2,3)) => ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ( ( ( B = 1 | ( B = 2 & ( A = 1 | A = 3 ) ) ) => k9_lattad_1(A,B) = 1 ) & ( ( A = 2 & B = 2 ) => k9_lattad_1(A,B) = 2 ) & ( B = 3 => k9_lattad_1(A,B) = 3 ) ) ) ) )).
fof(d15_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_lattices(B) & v10_lattices(B) & l3_lattices(B) ) => ( B = k14_lattice3(A) <=> g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k3_lattice3(B) ) ) ) ) )).
fof(d15_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => k10_lattice5(A,B,C) = C ) ) ) )).
fof(d15_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => k5_lattice6(A) = a_1_0_lattice6(A) ) )).
fof(d15_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v15_lattices(A) <=> ( v13_lattices(A) & v14_lattices(A) ) ) ) )).
fof(d15_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k7_lmod_7(A,B,C)) => ! [E] : ( m1_subset_1(E,k7_lmod_7(A,B,C)) => ! [F] : ( m1_subset_1(F,k7_lmod_7(A,B,C)) => ( F = k10_lmod_7(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( D = k8_lmod_7(A,B,C,G) & E = k8_lmod_7(A,B,C,H) ) => F = k8_lmod_7(A,B,C,k3_rlvect_1(B,G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v3_lopban_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_rsspace3(B,A) => v3_normsp_1(B,A) ) ) ) ) )).
fof(d15_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k18_lpspacc1(A,B,C) = a_3_2_lpspacc1(A,B,C) ) ) ) )).
fof(d15_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k14_lpspace1(A,B,C),k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_lpspace1(A,B,C),k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)))) ) => ( D = k15_lpspace1(A,B,C) <=> ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k9_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k9_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r2_tarski(G,E) & r2_tarski(H,F) ) => k4_binop_1(k14_lpspace1(A,B,C),D,E,F) = k13_lpspace1(A,B,C,k3_valued_1(A,k1_numbers,k1_numbers,G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_ltlaxio1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_hilbert1,k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_hilbert1,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( B = k12_ltlaxio1(A) <=> ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k3_funct_2(k1_hilbert1,k5_margrel1,B,k2_hilbert1) = k5_ordinal1 & k3_funct_2(k1_hilbert1,k5_margrel1,B,k1_hilbert2(E)) = k3_funct_2(k1_hilbert1,k5_margrel1,A,k1_hilbert2(E)) & k3_funct_2(k1_hilbert1,k5_margrel1,B,k3_hilbert1(C,D)) = k6_xboolean(k3_funct_2(k1_hilbert1,k5_margrel1,B,C),k3_funct_2(k1_hilbert1,k5_margrel1,B,D)) & k3_funct_2(k1_hilbert1,k5_margrel1,B,k4_hilbert1(C,D)) = k3_funct_2(k1_hilbert1,k5_margrel1,A,k4_hilbert1(C,D)) ) ) ) ) ) ) ) )).
fof(d15_margrel1,axiom,( ! [A] : ( ( ~ r2_tarski(k6_margrel1,A) => k10_margrel1(A) = k7_margrel1 ) & ( r2_tarski(k6_margrel1,A) => k10_margrel1(A) = k6_margrel1 ) ) )).
fof(d15_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(B,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) => ( v6_matrix_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(k10_matrix_1(A))) & k4_nat_d(k3_finseq_1(C),2) = k5_numbers & B = k3_group_4(k10_matrix_1(A),C) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(C)) & ! [E] : ( m1_matrix_1(E,k9_matrix_1(A)) => ~ ( k1_funct_1(C,D) = E & v5_matrix_1(E,k8_matrix_1(k9_matrix_1(A))) ) ) ) ) ) ) ) ) )).
fof(d15_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_matroid0(A,B) = a_2_2_matroid0(A,B) ) ) )).
fof(d15_mcart_1,axiom,( ! [A] : k14_mcart_1(A) = k2_xtuple_0(k1_xtuple_0(A)) )).
fof(d15_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k18_member_1(A,B) = k10_member_1(k1_tarski(B),A) ) ) )).
fof(d15_membered,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( v3_membered(B) => ( A = B <=> ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) <=> r2_hidden(C,B) ) ) ) ) ) )).
fof(d15_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ! [D] : ( v7_ordinal1(D) => k10_memstr_0(A,B,C,D) = k1_funct_4(C,k7_memstr_0(A,B,k7_nat_d(k5_memstr_0(A,B,C),D))) ) ) ) ) )).
fof(d15_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k2_numbers) => ( r3_mesfun7c(A,B,C,D,E) <=> ( k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,D)) & k4_finseq_1(D) = k4_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => ! [G] : ( r2_tarski(G,k1_funct_1(D,F)) => k1_funct_1(C,G) = k1_funct_1(E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_mesfunc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_mesfunc1(A,B,C,D) <=> ! [E] : ( v1_xreal_0(E) => r2_tarski(k9_subset_1(A,D,k14_mesfunc1(A,C,E)),B) ) ) ) ) ) ) )).
fof(d15_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v6_supinf_2(D) => ( ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ~ ( E = k1_relset_1(A,D) & r1_mesfunc1(A,B,D,E) ) ) | ! [E] : ( m1_subset_1(E,k6_numbers) => ( E = k6_mesfunc5(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [H] : ( v7_ordinal1(H) => ( r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,F,H)) & k1_relset_1(A,k4_mesfunc5(A,k6_numbers,F,H)) = k1_relset_1(A,D) ) ) & ! [H] : ( v7_ordinal1(H) => v6_supinf_2(k4_mesfunc5(A,k6_numbers,F,H)) ) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(H,I) => ! [J] : ( m1_subset_1(J,A) => ( r2_tarski(J,k1_relset_1(A,D)) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,F,H),J),k12_supinf_2(k4_mesfunc5(A,k6_numbers,F,I),J)) ) ) ) ) ) & ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,k1_relset_1(A,D)) => ( v10_mesfunc5(k3_mesfunc5(A,F,H)) & k2_mesfunc5(k3_mesfunc5(A,F,H)) = k12_supinf_2(D,H) ) ) ) & ! [H] : ( v7_ordinal1(H) => k8_nat_1(k6_numbers,G,H) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,F,H)) ) & v10_mesfunc5(G) & E = k2_mesfunc5(G) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v2_struct_0(A) => ( D = k9_metric_1(A,B,C) <=> D = a_3_1_metric_1(A,B,C) ) ) & ( v2_struct_0(A) => ( D = k9_metric_1(A,B,C) <=> v1_xboole_0(D) ) ) ) ) ) ) ) )).
fof(d15_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k10_midsp_1(A),k10_midsp_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A),k10_midsp_1(A)))) ) => ( B = k13_midsp_1(A) <=> ! [C] : ( m1_subset_1(C,k10_midsp_1(A)) => k11_midsp_1(A,C,k3_funct_2(k10_midsp_1(A),k10_midsp_1(A),B,C)) = k6_midsp_1(A) ) ) ) ) )).
fof(d15_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( ( v4_midsp_2(B,A) & l1_midsp_2(B,A) ) => k11_midsp_2(A,B) = k4_struct_0(u1_midsp_2(A,B)) ) ) )).
fof(d15_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( C = k18_mmlquery(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k2_mmlquery(A,C,D) = k3_tarski(a_3_2_mmlquery(A,B,D)) ) ) ) ) )).
fof(d15_mod_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)))) ) => ( A = k13_mod_2 <=> ! [B] : ( m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) => ! [C] : ( m1_subset_1(C,k1_enumset1(k5_numbers,1,2)) => k4_binop_1(k1_enumset1(k5_numbers,1,2),A,B,C) = k11_mod_2(B,C) ) ) ) ) )).
fof(d15_modal_1,axiom,( k17_modal_1 = k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(k5_numbers),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers)) )).
fof(d15_modcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => k11_modcat_1(A,B) = g1_cat_1(k3_modcat_1(A,B),k4_modcat_1(B,k3_modcat_1(A,B)),k8_modcat_1(B,k3_modcat_1(A,B)),k9_modcat_1(B,k3_modcat_1(A,B)),k10_modcat_1(B,k3_modcat_1(A,B))) ) ) )).
fof(d15_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => k9_modelc_3(A) = g1_modelc_3(A,k7_modelc_3(A),k7_modelc_3(A),k7_modelc_3(A)) ) )).
fof(d15_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v12_monoid_0(A) <=> v4_monoid_0(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d15_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(k8_msafree(A,B),C))) => ( D = k12_msafree(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( r2_tarski(F,k1_funct_1(B,C)) & E = k1_trees_4(k4_tarski(F,C)) ) ) ) ) ) ) ) )).
fof(d15_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k3_equation(A)))) => ( E = k6_msafree4(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k1_msaterm(A,B)) & v1_funct_1(F) & v1_partfun1(F,k1_msaterm(A,B)) & E = k1_funct_1(F,D) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_msafree4(H,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,G)) => k1_funct_1(F,k1_trees_4(k4_tarski(H,G))) = k1_trees_4(k4_tarski(k3_funct_2(k1_msafree4(u1_struct_0(A),B,G),k1_funct_1(k7_funcop_1(u1_struct_0(A),k4_ordinal1),G),k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,G),H),G)) ) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_msaterm(H,A,B,k2_msaterm(A,B,G)) => k1_msafree4(k1_msaterm(A,B),F,k6_msaterm(A,B,k2_msaterm(A,B,G),H)) = k4_trees_4(k2_msaterm(A,k7_funcop_1(u1_struct_0(A),k4_ordinal1),G),k3_relat_1(H,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msafree4(D,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,C,k1_msafree3(A,B))) => k7_msafree5(A,B,C,D) = k4_trees_4(k4_tarski(C,u1_struct_0(A)),D) ) ) ) ) )).
fof(d15_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( v3_msualg_2(C,A,B) => k10_msualg_2(A,B,C) = g3_msualg_1(A,C,k4_msualg_2(A,B,C)) ) ) ) ) )).
fof(d15_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(k4_msualg_4(A,B,C),D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(k4_msualg_4(A,B,C),D)))) ) => ( E = k14_msualg_4(A,B,C,D) <=> ! [F] : ( r2_tarski(F,k1_funct_1(u3_msualg_1(A,B),D)) => k1_funct_1(E,F) = k6_eqrel_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k2_msualg_4(A,B,C,D),F) ) ) ) ) ) ) ) )).
fof(d15_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ! [D] : ( ( v2_msualg_4(D,A,B) & v3_msualg_6(D,A,B) & v4_msualg_6(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( D = k10_msualg_6(A,B,C) <=> ( r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_6(E,A,B) & v4_msualg_6(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( r2_pboole(u1_struct_0(A),C,E) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) ) ) ) )).
fof(d15_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ( m4_nattra_1(C,A,B) <=> ! [D] : ~ ( r2_tarski(D,C) & ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m2_nattra_1(G,A,B,E,F) => ~ ( D = k4_tarski(k4_tarski(E,F),G) & r2_nattra_1(A,B,E,F) ) ) ) ) ) ) ) ) ) )).
fof(d15_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( r11_ncfcont1(A,B,C) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r5_ncfcont1(A,k2_partfun1(u1_struct_0(A),k1_numbers,B,C),D) ) ) ) ) ) ) )).
fof(d15_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : k12_net_1(A,B) = k3_tarski(k10_net_1(A,B)) ) )).
fof(d15_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B))) & v13_vectsp_1(C,A,k10_normsp_3(A,B)) & v1_lopban_1(C,A,k10_normsp_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B))))) ) => ( C = k13_normsp_3(A,B) <=> ( v2_funct_2(C,u1_struct_0(k10_normsp_3(A,B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B)),C,D) = k3_rlsub_1(A,D,B) ) ) ) ) ) ) )).
fof(d15_numpoly1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k12_numpoly1(A,B) <=> ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k7_xcmplx_0(A,k2_xcmplx_0(D,B)) ) ) ) ) ) )).
fof(d15_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r9_orders_1(A,B) <=> ( r2_tarski(B,k1_relat_1(A)) & ! [C] : ( r2_tarski(C,k1_relat_1(A)) => ( C = B | r2_hidden(k4_tarski(B,C),A) ) ) ) ) ) )).
fof(d15_ordinal1,axiom,( ! [A] : ( v1_relat_1(A) => ( v9_ordinal1(A) <=> ~ r2_tarski(k5_ordinal1,k10_xtuple_0(A)) ) ) )).
fof(d15_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k11_ordinal2(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(A) & k1_funct_1(D,k5_ordinal1) = k5_ordinal1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(A)) => k1_funct_1(D,k1_ordinal1(E)) = k10_ordinal2(k1_funct_1(D,E),B) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(A)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_tarski(k4_ordinal2(k5_relat_1(D,E))) ) ) ) ) ) ) ) ) )).
fof(d15_ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v3_ordinal6(B) ) => ( B = k11_ordinal6(A) <=> ( k9_xtuple_0(B) = k2_ordinal1(A) & k1_funct_1(B,k5_numbers) = k6_ordinal6(A,k4_ordinal1) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(k1_ordinal1(C),k2_ordinal1(A)) => k1_funct_1(B,k1_ordinal1(C)) = k3_ordinal6(k1_funct_1(B,C)) ) ) & ! [C] : ( ( v3_ordinal1(C) & v4_ordinal1(C) & ~ v1_xboole_0(C) ) => ( r2_tarski(C,k2_ordinal1(A)) => k1_funct_1(B,C) = k7_ordinal6(k5_relat_1(B,C)) ) ) ) ) ) ) )).
fof(d15_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(k2_osafree(A,B),C,D) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( D = k13_osafree(A,B,C) <=> k4_tarski(D,u1_struct_0(A)) = C ) ) ) ) ) ) )).
fof(d15_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => k3_osalg_1(A,B) = k7_funcop_1(u1_struct_0(A),B) ) ) )).
fof(d15_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)))) ) => ( C = k14_osalg_2(A,B) <=> ! [D] : ( m2_subset_1(D,k14_msualg_2(A,B),k13_osalg_2(A,B)) => ! [E] : ( m2_subset_1(E,k14_msualg_2(A,B),k13_osalg_2(A,B)) => ! [F] : ( ( v3_msualg_1(F,A) & v12_osalg_1(F,A) & m1_msualg_2(F,A,B) ) => ! [G] : ( ( v3_msualg_1(G,A) & v12_osalg_1(G,A) & m1_msualg_2(G,A,B) ) => ( ( D = F & E = G ) => k4_binop_1(k13_osalg_2(A,B),C,D,E) = k11_osalg_2(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d15_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( m2_pboole(D,A,B,C) <=> ! [E] : ( r2_hidden(E,A) => ( v1_funct_1(k1_funct_1(D,E)) & v1_funct_2(k1_funct_1(D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) ) ) ) ) ) )).
fof(d15_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(A))) => ( r5_pdiff_1(A,B,C,D,E,F) <=> r1_ndiff_1(k4_real_ns1(1),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k7_pdiff_1(A,C,F),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),E,k4_pdiff_1(D,B))),k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(C,A),F)) ) ) ) ) ) ) ) )).
fof(d15_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r6_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k6_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,F) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,k1_pdiff_3(2,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(2,3,A),B),J),k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(2,3,A),B),F)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,F)),k1_funct_1(I,k6_xcmplx_0(J,F))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_petri_2(D,u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C))) => ! [E] : ( m1_petri_2(E,u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E),u1_petri_2(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E),u1_petri_2(A)))) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( ( r2_petri_3(A,B,C,D,F) & r2_tarski(H,k7_subset_1(k8_petri(A,k6_domain_1(u4_struct_0(A),C)),k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E))) ) => k10_petri_3(A,B,C,D,E,F,G,H) = k8_petri_3(A,B,C,D,F,H) ) & ( ( r2_petri_3(A,B,C,D,F) & r2_tarski(H,k7_subset_1(k9_petri(A,k6_domain_1(u4_struct_0(A),C)),k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E),k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D))) ) => k10_petri_3(A,B,C,D,E,F,G,H) = k9_petri_3(A,B,C,E,G,H) ) & ~ ( ~ ( r2_petri_3(A,B,C,D,F) & r2_tarski(H,k7_subset_1(k8_petri(A,k6_domain_1(u4_struct_0(A),C)),k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E))) ) & ~ ( r2_petri_3(A,B,C,D,F) & r2_tarski(H,k7_subset_1(k9_petri(A,k6_domain_1(u4_struct_0(A),C)),k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E),k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D))) ) & k10_petri_3(A,B,C,D,E,F,G,H) != k5_petri_3(A,B,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => k15_polyform(A,B) = k1_zfmisc_1(k5_polyform(A,B)) ) ) )).
fof(d15_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(A,k4_ordinal1))) => ( C = k18_pre_poly(A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) ) => ( r2_tarski(D,C) <=> ! [E] : ( r2_tarski(E,A) => r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(B,E)) ) ) ) ) ) ) )).
fof(d15_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k14_pscomp_1(A) = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k10_pscomp_1(A),k11_pscomp_1(A)),A) ) )).
fof(d15_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,B) => ! [D] : ( m2_pua2mss1(D,u4_struct_0(B)) => ( r6_pua2mss1(A,B,C,D) <=> ( m4_pua2mss1(u3_msualg_1(B,C),A) & k9_xtuple_0(D) = k4_finseq_1(u1_unialg_1(A)) & ! [E] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => m2_pua2mss1(k5_relat_1(u4_msualg_1(B,C),k1_funct_1(D,E)),k2_pua2mss1(A,E)) ) ) ) ) ) ) ) )).
fof(d15_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k13_qc_lang1(A,B) = k7_finseq_1(k9_finseq_1(k4_tarski(1,k5_numbers)),k11_qc_lang1(A,B)) ) ) )).
fof(d15_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k11_qc_lang2(A,B) = k18_qc_lang1(A,k20_qc_lang1(A,k18_qc_lang1(A,B))) ) ) )).
fof(d15_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_quantal1(A,B,C) = k15_lattice3(A,a_3_6_quantal1(A,B,C)) ) ) ) )).
fof(d15_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( ( r2_tarski(A,k2_numbers) => ( B = k15_quaterni(A) <=> B = k5_numbers ) ) & ( ~ r2_tarski(A,k2_numbers) => ( B = k15_quaterni(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,4,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(4,k1_numbers))) & A = C & B = k1_funct_1(C,3) ) ) ) ) ) )).
fof(d15_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k7_quofield(A),k7_quofield(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)))) ) => ( B = k18_quofield(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k3_funct_2(k7_quofield(A),k7_quofield(A),B,C) = k14_quofield(A,C) ) ) ) ) )).
fof(d15_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ! [C] : ( m1_ratfunc1(C,A) => k9_ratfunc1(A,B,C) = k3_ratfunc1(A,k1_normsp_1(A,k11_polynom3(A,k4_ratfunc1(A,B),k5_ratfunc1(A,C)),k11_polynom3(A,k5_ratfunc1(A,B),k4_ratfunc1(A,C))),k11_polynom3(A,k5_ratfunc1(A,B),k5_ratfunc1(A,C))) ) ) ) )).
fof(d15_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_relat_1(A) <=> r1_tarski(k10_xtuple_0(A),k1_tarski(k1_xboole_0)) ) ) )).
fof(d15_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v7_relat_2(A) <=> r7_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d15_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_rewrite1(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ~ ! [C] : ( v7_ordinal1(C) => r2_hidden(k4_tarski(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,1))),A) ) ) ) ) )).
fof(d15_ringcat1,axiom,( ! [A] : ! [B] : ( r2_ringcat1(A,B) <=> ? [C] : ? [D] : ? [E] : ? [F] : ? [G] : ? [H] : ( A = k3_xtuple_0(k6_xtuple_0(C,D,E,F),G,H) & ? [I] : ( ~ v2_struct_0(I) & v13_algstr_0(I) & v36_algstr_0(I) & v2_rlvect_1(I) & v3_rlvect_1(I) & v4_rlvect_1(I) & v3_group_1(I) & v4_vectsp_1(I) & v5_vectsp_1(I) & l6_algstr_0(I) & B = I & C = u1_struct_0(I) & D = u1_algstr_0(I) & E = k4_vectsp_1(I) & F = k4_struct_0(I) & G = u2_algstr_0(I) & H = k5_struct_0(I) ) ) ) )).
fof(d15_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v10_rltopsp1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B = k5_rltopsp1(A,C,D) ) ) ) ) ) )).
fof(d15_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k11_rlvect_2(A)) => k12_rlvect_2(A,B) = B ) ) )).
fof(d15_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_robbins1(A,B,C) = k9_robbins1(A,k1_lattices(A,B,C),k9_robbins1(A,B,C)) ) ) ) )).
fof(d15_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) => ( B = k6_roughs_2(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),B,C) = k2_pre_topc(A,C) ) ) ) ) )).
fof(d15_roughs_4,axiom,( ! [A] : ( l1_roughs_4(A) => ( v18_roughs_4(A) <=> v12_roughs_4(u1_roughs_4(A),u1_struct_0(A)) ) ) )).
fof(d15_rvsum_1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k21_rvsum_1(A) = k1_finsop_1(k1_numbers,A,k11_binop_2) ) )).
fof(d15_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => k10_scmfsa_1(A) = k1_funct_1(A,k4_ordinal1) ) )).
fof(d15_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( C = k13_scmfsa_2(A,B) <=> ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_ami_3)) & B = D & C = k9_ami_3(A,D) ) ) ) ) ) )).
fof(d15_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k14_scmpds_2(A,B,C,D) = k3_xtuple_0(11,k1_xboole_0,k7_finseq_4(A,B,C,D)) ) ) ) ) )).
fof(d15_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_scmringi(A),k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_scmringi(A),k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))))))) ) => ( B = k8_scmring1(A) <=> ! [C] : ( m1_subset_1(C,k1_scmringi(A)) => ! [D] : ( m1_subset_1(D,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => k1_funct_1(k3_funct_2(k1_scmringi(A),k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))),B,C),D) = k7_scmring1(A,C,D) ) ) ) ) ) )).
fof(d15_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k8_scmyciel(A) <=> ( ? [C] : ( v1_finset_1(C) & v4_scmyciel(C) & v5_scmyciel(C) & m1_subset_1(C,k1_zfmisc_1(A)) & k2_scmyciel(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v4_scmyciel(C) & v5_scmyciel(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => r1_xxreal_0(k2_scmyciel(C),B) ) ) ) ) ) )).
fof(d15_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ( v2_seq_4(B,A) <=> ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(A)) => ~ ( ~ r1_xxreal_0(D,k20_seq_4(E)) & r2_tarski(k13_seq_4(A,C,E),B) ) ) ) ) => r2_tarski(C,B) ) ) ) ) ) )).
fof(d15_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) ) => ( v12_sheffer1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,C,D))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),B),k5_sheffer1(A,k5_sheffer1(A,D,D),B)) ) ) ) ) ) )).
fof(d15_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => k14_sin_cos(A) = k1_funct_1(k13_sin_cos,A) ) )).
fof(d15_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v7_stacks_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_stacks_1(A,B,C) => B = C ) ) ) ) ) )).
fof(d15_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k15_substut1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & ? [E] : ( m1_subset_1(E,k1_substut1(A)) & ? [F] : ( C = k4_tarski(k1_domain_1(k9_qc_lang1(A),k1_substut1(A),D,E),F) & r1_substut1(A,D,E,F) ) ) ) ) ) ) ) )).
fof(d15_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_tex_4(A,B) = k8_subset_1(u1_struct_0(A),k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)),k1_setfam_1(a_2_4_tex_4(A,B))) ) ) )).
fof(d15_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v4_trees_3(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( B = k11_trees_3(A) <=> ! [C] : ( r2_hidden(C,B) <=> ~ ( C != k1_xboole_0 & ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(A),D) & r2_tarski(E,k1_funct_1(A,k1_nat_1(D,1))) & C = k7_finseq_1(k9_finseq_1(D),E) ) ) ) ) ) ) ) ) ) )).
fof(d15_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r3_turing_1(A,B) <=> ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ! [D] : ( m2_funct_2(D,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( ( r2_tarski(F,k9_xtuple_0(B)) & C = k4_domain_1(u2_turing_1(A),k4_ordinal1,k9_funct_2(k4_numbers,u1_turing_1(A)),u4_turing_1(A),E,D) & r2_turing_1(k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,E),F),A,D) ) => ( v2_turing_1(C,A) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & k2_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k10_turing_1(A,C)) = G & H = k1_funct_1(B,F) & r2_turing_1(k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,G),k12_finseq_1(k4_ordinal1,H)),A,k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k10_turing_1(A,C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k16_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k1_binarith(k1_binarith(k8_margrel1(B),C),D) ) ) ) ) ) )).
fof(d15_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)))) ) => ( B = k10_unialg_2(A) <=> ! [C] : ( m1_subset_1(C,k9_unialg_2(A)) => ! [D] : ( m1_subset_1(D,k9_unialg_2(A)) => ! [E] : ( ( v1_unialg_1(E) & m1_unialg_2(E,A) ) => ! [F] : ( ( v1_unialg_1(F) & m1_unialg_2(F,A) ) => ( ( C = E & D = F ) => k4_binop_1(k9_unialg_2(A),B,C,D) = k8_unialg_2(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d15_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ( v7_valued_0(A) <=> ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) & r1_xxreal_0(B,C) ) => r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d15_valued_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_membered(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( v7_valued_0(B) <=> ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(A,B,C),k8_nat_1(A,B,k1_nat_1(C,1))) ) ) ) ) )).
fof(d15_valued_2,axiom,( ! [A] : ! [B] : ( B = k9_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,A,k3_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_numbers))) ) ) ) )).
fof(d15_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v10_vectsp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_vectsp_1(A,B,k6_algstr_0(A,C,D),E) = k3_vectsp_1(A,B,C,k3_vectsp_1(A,B,D,E)) ) ) ) ) ) ) )).
fof(d15_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v4_waybel34(C,A,B) <=> ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => r4_waybel_0(A,B,C,D) ) ) ) ) ) )).
fof(d15_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k3_waybel_0(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_orders_2(A,D,E) & r2_tarski(E,B) ) ) ) ) ) ) ) )).
fof(d15_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v8_waybel_1(B,A) <=> ( v6_waybel_1(B,A) & r1_yellow_2(u1_struct_0(A),A,B,k3_struct_0(A)) ) ) ) ) )).
fof(d15_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k8_waybel_4(A)),u1_struct_0(k1_yellow_1(k3_waybel_4(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_waybel_4(A)),u1_struct_0(k1_yellow_1(k3_waybel_4(A)))))) ) => ( B = k10_waybel_4(A) <=> ! [C] : ~ ( r2_hidden(C,u1_struct_0(k8_waybel_4(A))) & ! [D] : ( ( v5_waybel_4(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( D = k1_funct_1(B,C) & ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) & G = E & H = F & I = C & r2_tarski(G,k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),I,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d15_xtuple_0,axiom,( ! [A] : k12_xtuple_0(A) = k10_xtuple_0(k9_xtuple_0(A)) )).
fof(d15_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_orders_2(C) & v4_yellow_0(C,A) & m1_yellow_0(C,A) ) => ( C = k5_yellow_0(A,B) <=> u1_struct_0(C) = B ) ) ) ) )).
fof(d15_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k9_yellow_6(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ! [E] : ( m1_connsp_2(E,A,D) => r1_waybel_0(A,B,E) ) ) ) ) ) ) ) )).
fof(d15_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_zf_lang(A) <=> ( v2_zf_lang(A) | v3_zf_lang(A) ) ) ) )).
fof(d15_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,A) ) => ( D = k7_zmodul01(A,B,C) <=> u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) ) ) ) ) )).
fof(d15_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k15_zmodul02(A) = g1_vectsp_1(k1_int_3,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k14_zmodul02(A)) ) )).
fof(d16_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_abcmiz_0(A))) => ( r2_abcmiz_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_tarski(C,k2_abcmiz_0(A,D)) & r1_orders_2(A,D,B) ) ) ) ) ) )).
fof(d16_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => k15_abcmiz_1(A) = k10_abcmiz_1 ) )).
fof(d16_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => k14_abcmiz_a(A) = A ) )).
fof(d16_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ( v13_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v10_algstr_0(B,A) ) ) ) )).
fof(d16_algstr_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k12_algstr_4(A),k12_algstr_4(A)),k12_algstr_4(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_algstr_4(A),k12_algstr_4(A)),k12_algstr_4(A)))) ) => ( ( ~ v1_xboole_0(A) => ( B = k13_algstr_4(A) <=> ! [C] : ( m1_subset_1(C,k12_algstr_4(A)) => ! [D] : ( m1_subset_1(D,k12_algstr_4(A)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( E = k2_xfamily(C) & F = k2_xfamily(D) ) => k4_binop_1(k12_algstr_4(A),B,C,D) = k4_tarski(k4_tarski(k4_tarski(k1_xfamily(C),k1_xfamily(D)),k2_xfamily(C)),k2_xcmplx_0(E,F)) ) ) ) ) ) ) ) & ( v1_xboole_0(A) => ( B = k13_algstr_4(A) <=> B = k1_xboole_0 ) ) ) ) )).
fof(d16_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ( v12_altcat_1(A) <=> ( v5_altcat_1(u2_altcat_1(A),u1_struct_0(A),u1_altcat_1(A)) & v4_altcat_1(u2_altcat_1(A),u1_struct_0(A),u1_altcat_1(A)) ) ) ) )).
fof(d16_ami_2,axiom,( ! [A] : ( v1_ami_2(A) <=> r2_tarski(A,k2_ami_2) ) )).
fof(d16_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & v3_aofa_000(A) & l1_unialg_1(A) ) => k12_aofa_000(A) = k1_funct_1(k2_pua2mss1(A,k10_subset_1(1,k4_finseq_1(u1_unialg_1(A)))),k1_xboole_0) ) )).
fof(d16_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ! [E] : ( ( v19_aofa_a00(E,A) & m1_subset_1(E,u1_struct_0(A)) ) => ! [F] : ( ( v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),k36_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,D),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),k36_aofa_a00(A))) ) => ! [G] : ( v1_int_1(G) => k11_aofa_a01(A,B,C,D,E,F,G) = k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,D),k36_aofa_a00(A),F),E,k10_aofa_a01(A,B,C,E,G)) ) ) ) ) ) ) ) )).
fof(d16_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) => ( ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_aofa_i00(A,E,B,C,D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(B,k4_numbers),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),B))) ) => ( m2_aofa_i00(E,A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_funct_2(B,k4_numbers),k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),k4_numbers))) & r2_aofa_i00(A,B,C,D,E,F) ) ) ) ) ) ) ) ) )).
fof(d16_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => k8_armstrng(A,B) = k1_armstrng(B,k7_armstrng(A)) ) )).
fof(d16_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( r2_asympt_0(A,B) <=> ( v6_asympt_0(A) & r2_tarski(k12_asympt_0(A,B),k6_asympt_0(A)) ) ) ) ) )).
fof(d16_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => k14_bagorder(A) = g1_orders_2(k5_finsub_1(u1_struct_0(A)),k13_bagorder(A)) ) )).
fof(d16_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => k6_bcialg_2(A) = a_1_2_bcialg_2(A) ) )).
fof(d16_bilinear,axiom,( ! [A] : ( l2_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => k11_bilinear(A,B,C,D) = a_4_1_bilinear(A,B,C,D) ) ) ) ) )).
fof(d16_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r1_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => k1_binop_1(C,B,D) = D ) ) ) ) )).
fof(d16_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,u1_struct_0(B)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = D ) ) ) ) ) ) )).
fof(d16_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k16_bvfunc_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ( ( ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k15_bvfunc_1(A,E,C)) => k3_funct_2(A,k5_margrel1,B,F) = k7_margrel1 ) ) => k3_funct_2(A,k5_margrel1,D,E) = k7_margrel1 ) & ( ? [F] : ( m1_subset_1(F,A) & r2_tarski(F,k15_bvfunc_1(A,E,C)) & k3_funct_2(A,k5_margrel1,B,F) != k7_margrel1 ) => k3_funct_2(A,k5_margrel1,D,E) = k6_margrel1 ) ) ) ) ) ) ) ) )).
fof(d16_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k9_c0sp1(A,B) = a_2_0_c0sp1(A,B) ) ) )).
fof(d16_calcul_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r1_calcul_1(A,B) <=> ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k1_relset_1(k4_ordinal1,A)) & k1_funct_1(A,C) = B ) ) ) )).
fof(d16_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k12_card_3(A,B) <=> ( k9_xtuple_0(C) = k4_card_3(A) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k1_funct_1(D,B) ) ) ) ) ) ) )).
fof(d16_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v9_cat_1(D,A,B,C) <=> ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,B) != k1_xboole_0 & ? [E] : ( m1_cat_1(E,A,C,B) & k5_cat_1(A,C,B,C,E,D) = k4_cat_1(A,C) & k5_cat_1(A,B,C,B,D,E) = k4_cat_1(A,B) ) ) ) ) ) ) ) )).
fof(d16_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u4_struct_0(A)))) ) => ( m2_cat_3(D,A,B,C) <=> r2_funct_2(C,u1_struct_0(A),k3_cat_3(A,C,D),k8_funcop_1(u1_struct_0(A),C,B)) ) ) ) ) )).
fof(d16_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k15_cat_4(A,B) = k9_cat_4(A,B,B,B,k4_cat_1(A,B),k4_cat_1(A,B)) ) ) )).
fof(d16_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k6_cat_7(2)),u1_struct_0(A)) & v16_cat_6(C,k6_cat_7(2),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(2)),u1_struct_0(A)))) ) => ( C = k7_cat_7(A,B) <=> ! [D] : ( m1_subset_1(D,k1_cat_6(k6_cat_7(2))) => ( ~ v11_cat_6(D,k6_cat_7(2)) => k10_cat_6(k6_cat_7(2),A,C,D) = B ) ) ) ) ) ) )).
fof(d16_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & v8_algstr_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l2_algstr_0(D) ) => ( D = k15_chain_1(A,B,C) <=> ( u1_struct_0(D) = k1_chain_1(k1_zfmisc_1(k1_euclid(A)),k4_chain_1(A,B,C)) & k4_struct_0(D) = k11_chain_1(A,B,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k4_chain_1(A,B,C))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k4_chain_1(A,B,C))) => ( ( E = G & F = H ) => k3_rlvect_1(D,E,F) = k7_chain_1(A,B,C,G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,C))) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_msafree2(E) & l1_msualg_1(E) ) => ! [F] : ( ( v4_msualg_1(F,E) & v4_msafree2(F,E) & l3_msualg_1(F,E) ) => ( r8_circtrm1(A,B,C,D,E,F) <=> r6_circtrm1(E,k1_circtrm1(A,C,D),F,k6_circtrm1(A,C,D,B)) ) ) ) ) ) ) ) )).
fof(d16_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v9_clvect_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k7_clvect_1(A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,F),C))) ) ) ) ) ) ) ) ) ) )).
fof(d16_coh_sp,axiom,( ! [A] : ! [B] : ( B = k14_coh_sp(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v1_partfun1(C,A) & v1_relat_2(C) & v3_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) )).
fof(d16_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k5_cohsp_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( v1_finset_1(D) & ? [E] : ( C = k4_tarski(D,E) & r2_tarski(D,k9_xtuple_0(A)) & r2_tarski(E,k1_funct_1(A,D)) ) ) ) ) ) )).
fof(d16_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => k4_compos_1(A) = k3_afinsq_1(k2_compos_1(A)) ) )).
fof(d16_comput_1,axiom,( ! [A] : ( v7_comput_1(A) <=> r2_tarski(A,k9_comput_1) ) )).
fof(d16_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => ! [C] : ( ( ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) => ( r2_conlat_1(A,B,C) <=> r1_tarski(u2_conlat_1(A,B),u2_conlat_1(A,C)) ) ) ) ) )).
fof(d16_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_numbers,k10_convex4(A)),k10_convex4(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k10_convex4(A)),k10_convex4(A)))) ) => ( B = k14_convex4(A) <=> ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m1_subset_1(D,k10_convex4(A)) => k1_funct_1(B,k4_tarski(C,D)) = k7_convex4(A,C,k11_convex4(A,D)) ) ) ) ) ) )).
fof(d16_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_csspace(A,B,C) = k11_csspace(A,k5_algstr_0(A,B,C)) ) ) ) )).
fof(d16_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k11_decomp_1(A) = a_1_5_decomp_1(A) ) )).
fof(d16_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( m1_dualsp01(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & k4_struct_0(B) = k4_struct_0(A) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u1_rlvect_1(B) = k5_relat_1(u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B))) & u1_normsp_0(B) = k5_relat_1(u1_normsp_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d16_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k14_e_siec(A) = k2_xboole_0(k2_xboole_0(k2_relat_1(u1_e_siec(A)),u2_e_siec(A)),k4_relat_1(u1_struct_0(A))) ) )).
fof(d16_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => k14_ens_1(A,B) = B ) ) )).
fof(d16_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k13_facirc_1(A,B,C) = k10_facirc_1(A,B,C,k1_facirc_1) )).
fof(d16_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k16_ff_siec(A) = k2_xboole_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))) ) )).
fof(d16_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_fin_topo(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B = k4_subset_1(u1_struct_0(A),C,D) & C != k1_xboole_0 & D != k1_xboole_0 & r1_xboole_0(C,D) & r1_xboole_0(k9_fin_topo(A,C),D) ) ) ) ) ) ) )).
fof(d16_finseq_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( B = k18_finseq_1(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,k1_relat_1(A)) & r2_hidden(D,k1_relat_1(A)) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & r1_xxreal_0(1,k3_finseq_1(E)) & k1_funct_1(E,1) = C & k1_funct_1(E,k3_finseq_1(E)) = D & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,1))),A) ) ) ) ) ) ) ) ) ) )).
fof(d16_fomodel0,axiom,( ! [A] : ! [B] : k14_fomodel0(A,B) = k6_subset_1(A,B) )).
fof(d16_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v6_fomodel1(B,A) <=> r2_tarski(B,k3_fomodel1(A)) ) ) ) )).
fof(d16_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) => ! [E] : ( m2_subset_1(E,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( ( ? [F] : ( m1_subset_1(F,B) & ? [G] : ( v4_fomodel1(G,A) & m1_subset_1(G,k1_fomodel1(A)) & k1_funct_1(E,1) = G & k1_binop_1(D,k5_fomodel2(C,G,F),k1_rfinseq(1,E)) = k7_margrel1 ) ) => k17_fomodel2(A,B,C,D,E) = k7_margrel1 ) & ( ! [F] : ( m1_subset_1(F,B) => ! [G] : ( ( v4_fomodel1(G,A) & m1_subset_1(G,k1_fomodel1(A)) ) => ~ ( k1_funct_1(E,1) = G & k1_binop_1(D,k5_fomodel2(C,G,F),k1_rfinseq(1,E)) = k7_margrel1 ) ) ) => k17_fomodel2(A,B,C,D,E) = k6_margrel1 ) ) ) ) ) ) ) )).
fof(d16_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : k7_fomodel4(A,B,C) = a_3_0_fomodel4(A,B,C) ) ) )).
fof(d16_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( v1_freealg(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_funct_1(D) & v2_margrel1(D) & v3_margrel1(D,k4_dtconstr(k3_freealg(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))))) ) => ( D = k13_freealg(A,B,C) <=> ( k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),D) = k4_finseq_2(k7_partfun1(k4_ordinal1,A,C),k4_dtconstr(k3_freealg(A,B))) & ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))) => ( r2_tarski(E,k1_relset_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),D)) => k1_funct_1(D,E) = k8_trees_4(u1_struct_0(k3_freealg(A,B)),k4_freealg(A,B,C),E) ) ) ) ) ) ) ) ) ) )).
fof(d16_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k16_ftacell1(A,B,C,D,E) = k36_gfacirc1(A,B,C) )).
fof(d16_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( ( v11_functor0(C,A,B) & l2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D)) != k1_xboole_0 & ~ ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => k8_functor0(A,B,C,D,E,F) = k1_funct_1(k7_functor0(A,B,C,D,E),F) ) ) ) ) ) ) ) )).
fof(d16_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => k16_gate_1(A,B,C,D) = k1_gate_1(k1_xboole_0) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & k16_gate_1(A,B,C,D) != k1_xboole_0 ) ) )).
fof(d16_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k16_gate_5(A,B,C,D,E,F,G) = k10_gate_1(E,F,k15_gate_5(A,B,C,D,G)) )).
fof(d16_gaussint,axiom,( k13_gaussint = g1_vectsp_1(k11_gaussint,k8_gaussint,k9_gaussint,k10_subset_1(k5_numbers,k8_gaussint),k12_gaussint) )).
fof(d16_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r7_gcd_1(A,C,D) & r7_gcd_1(A,E,F) & D = k4_gcd_1(A,B,D) & F = k4_gcd_1(A,B,F) ) => ( ( C = k4_struct_0(A) => k6_gcd_1(A,B,C,D,E,F) = E ) & ( E = k4_struct_0(A) => k6_gcd_1(A,B,C,D,E,F) = C ) & ( k5_gcd_1(A,B,D,F) = k5_struct_0(A) => k6_gcd_1(A,B,C,D,E,F) = k3_rlvect_1(A,k8_group_1(A,C,F),k8_group_1(A,D,E)) ) & ( k3_rlvect_1(A,k8_group_1(A,C,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k8_group_1(A,E,k1_gcd_1(A,D,k5_gcd_1(A,B,D,F)))) = k4_struct_0(A) => k6_gcd_1(A,B,C,D,E,F) = k4_struct_0(A) ) & ~ ( C != k4_struct_0(A) & E != k4_struct_0(A) & k5_gcd_1(A,B,D,F) != k5_struct_0(A) & k3_rlvect_1(A,k8_group_1(A,C,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k8_group_1(A,E,k1_gcd_1(A,D,k5_gcd_1(A,B,D,F)))) != k4_struct_0(A) & k6_gcd_1(A,B,C,D,E,F) != k1_gcd_1(A,k3_rlvect_1(A,k8_group_1(A,C,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k8_group_1(A,E,k1_gcd_1(A,D,k5_gcd_1(A,B,D,F)))),k5_gcd_1(A,B,k3_rlvect_1(A,k8_group_1(A,C,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k8_group_1(A,E,k1_gcd_1(A,D,k5_gcd_1(A,B,D,F)))),k5_gcd_1(A,B,D,F))) ) ) ) ) ) ) ) ) ) )).
fof(d16_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r4_glib_000(A,B,C,D) <=> ( r2_hidden(D,k7_glib_000(A)) & r2_tarski(k1_funct_1(k10_glib_000(A),D),B) & r2_tarski(k1_funct_1(k11_glib_000(A),D),C) ) ) ) )).
fof(d16_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k13_glib_001(A,B) = k2_relset_1(k6_glib_000(A),k11_glib_001(A,B)) ) ) )).
fof(d16_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m3_glib_001(C,A) => ( r5_glib_005(A,B,C) => ! [D] : ( v7_ordinal1(D) => ( ( ~ v3_glib_001(C,A) => ( D = k9_glib_005(A,B,C) <=> ( r2_tarski(D,k2_relset_1(k4_ordinal1,k8_glib_005(A,B,C))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k2_relset_1(k4_ordinal1,k8_glib_005(A,B,C))) => r1_xxreal_0(D,E) ) ) ) ) ) & ( v3_glib_001(C,A) => ( D = k9_glib_005(A,B,C) <=> D = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d16_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_graph_1(B,A) => ( v2_funct_1(B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(d16_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k10_graph_5(A,B,C) = k18_rvsum_1(k9_graph_5(A,B,C)) ) ) ) )).
fof(d16_graphsp,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k3_finseq_2(k1_numbers)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_graphsp(A,B,C,D) <=> ( k4_finseq_1(A) = k4_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(A)) & r1_xxreal_0(C,E) & r1_xxreal_0(E,D) ) => k1_funct_1(A,E) = k1_funct_1(B,E) ) ) ) ) ) ) ) ) )).
fof(d16_grcat_1,axiom,( ! [A] : ( ( v2_grcat_1(A) & l1_grcat_1(A) ) => ! [B] : ( ( v2_grcat_1(B) & l1_grcat_1(B) ) => ( k7_grcat_1(A) = k8_grcat_1(B) => ! [C] : ( ( v1_grcat_1(C) & v2_grcat_1(C) & l1_grcat_1(C) ) => ( C = k13_grcat_1(A,B) <=> ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l2_algstr_0(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l2_algstr_0(E) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & l2_algstr_0(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( ( g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A)) = g1_grcat_1(E,F,G) & g1_grcat_1(u1_grcat_1(B),u2_grcat_1(B),u3_grcat_1(B)) = g1_grcat_1(D,E,H) ) => C = g1_grcat_1(D,F,k1_partfun1(u1_struct_0(D),u1_struct_0(E),u1_struct_0(E),u1_struct_0(F),H,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => k14_group_10(A,B,C) = a_3_1_group_10(A,B,C) ) ) ) )).
fof(d16_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k16_group_2(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D = k14_group_2(A,B,E) ) ) ) ) ) ) ) )).
fof(d16_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(k7_group_9(A,B,C),k7_group_9(A,B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(k7_group_9(A,B,C),k7_group_9(A,B,C))))) ) => ( ( ~ v1_xboole_0(A) => ( D = k9_group_9(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k1_funct_1(D,E) = a_4_0_group_9(A,B,C,E) ) ) ) & ( v1_xboole_0(A) => ( D = k9_group_9(A,B,C) <=> D = k2_zfmisc_1(k1_xboole_0,k1_tarski(k6_partfun1(k7_group_9(A,B,C)))) ) ) ) ) ) ) )).
fof(d16_idea_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k14_idea_1,k14_idea_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) => ( C = k16_idea_1(A,B) <=> ! [D] : ( m2_finseq_1(D,k4_ordinal1) => k1_funct_1(C,D) = k12_idea_1(A,k11_idea_1(A,k13_idea_1(D),B),B) ) ) ) ) ) )).
fof(d16_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k9_ideal_1(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v1_ideal_1(D,A) & v3_ideal_1(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) ) )).
fof(d16_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v13_incsp_1(A) <=> ~ ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => v4_incsp_1(k9_domain_1(u1_incsp_1(A),B,C,D,E),A) ) ) ) ) ) ) )).
fof(d16_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m5_index_1(E,u1_struct_0(C),u4_struct_0(C),u1_graph_1(C),u2_graph_1(C),u1_cat_1(C),k7_isocat_1(C)) => ( m3_cat_2(k4_cat_5(A,B,D),C) => ! [F] : ( m5_index_1(F,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ( F = k14_index_1(A,B,C,D,E) <=> ! [G] : ( m2_cat_1(G,A,C) => ( r1_funct_2(u4_struct_0(A),u4_struct_0(C),u4_struct_0(A),u4_struct_0(B),G,D) => F = k13_index_1(A,k10_index_1(C,E),k9_cat_1(A,C,k10_index_1(C,E),G,k9_index_1(C,E,k10_index_1(C,E)))) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_integr15(A,B,C) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k2_finseq_1(A)) => r1_integra5(B,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A))) ) ) ) ) ) ) )).
fof(d16_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v3_integra1(B,A) <=> ( v1_integra1(B,A) & v2_integra1(B,A) & k10_integra1(A,B) = k11_integra1(A,B) ) ) ) ) )).
fof(d16_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_interva1(B,A) => k15_interva1(A,B) = k2_xtuple_0(B) ) ) )).
fof(d16_intpro_1,axiom,( k8_intpro_1 = k7_intpro_1(k1_subset_1(k1_intpro_1)) )).
fof(d16_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k16_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k21_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d16_lattad_1,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(1,2,3)) => ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ( ( A = 1 => ( ( B != 1 & B != 3 ) | k10_lattad_1(A,B) = 1 ) ) & ( ( A = 2 | ( A = 1 & B = 2 ) ) => k10_lattad_1(A,B) = 2 ) & ( A = 3 => k10_lattad_1(A,B) = 3 ) ) ) ) )).
fof(d16_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( r3_lattice3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r1_lattices(A,B,D) ) ) ) ) ) )).
fof(d16_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => ! [F] : ( F = k11_lattice5(A,B,C,D,E) <=> ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v5_ordinal1(G) & F = k1_ordinal2(G) & k9_xtuple_0(G) = k1_ordinal1(E) & k1_funct_1(G,k5_numbers) = C & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(k1_ordinal1(H),k1_ordinal1(E)) => k1_funct_1(G,k1_ordinal1(H)) = k6_lattice5(k8_lattice5(A,H),B,k10_lattice5(k8_lattice5(A,H),B,k1_funct_1(G,H)),k9_lattice5(A,B,C,D,H)) ) ) & ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(H,k1_ordinal1(E)) & v4_ordinal1(H) ) => ( H = k5_numbers | k1_funct_1(G,H) = k3_tarski(k2_relset_1(k10_xtuple_0(G),k5_relat_1(G,H))) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => k6_lattice6(A) = a_1_1_lattice6(A) ) )).
fof(d16_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ( v13_lattices(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k5_lattices(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_lattices(A,B,C) = B & k2_lattices(A,C,B) = B ) ) ) ) ) ) )).
fof(d16_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m2_lexbfs(B,A) => ! [C] : ( m1_lexbfs(C,A) => ( C = k15_lexbfs(A,B) <=> ! [D] : ( v7_ordinal1(D) => r2_relset_1(k6_glib_000(A),k4_ordinal1,k5_lexbfs(A,C,D),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,B,D))) ) ) ) ) ) )).
fof(d16_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k18_lpspacc1(A,B,C),k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_lpspacc1(A,B,C),k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)))) ) => ( D = k19_lpspacc1(A,B,C) <=> ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k13_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k13_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( r2_tarski(G,E) & r2_tarski(H,F) ) => k4_binop_1(k18_lpspacc1(A,B,C),D,E,F) = k17_lpspacc1(A,B,C,k2_valued_1(A,k2_numbers,k2_numbers,G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k9_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) => ( D = k16_lpspace1(A,B,C) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & r2_relset_1(A,k1_numbers,E,k8_lpspace1(A,k5_numbers)) & r2_tarski(E,k9_lpspace1(A,B,C)) & D = k13_lpspace1(A,B,C,E) ) ) ) ) ) ) )).
fof(d16_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v1_ltlaxio1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_hilbert1,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),A) = 1 ) ) ) )).
fof(d16_matrix_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(B)) => ( ( v6_matrix_1(D,k8_matrix_1(k9_matrix_1(B))) => k11_matrix_1(A,B,C,D) = C ) & ( ~ v6_matrix_1(D,k8_matrix_1(k9_matrix_1(B))) => k11_matrix_1(A,B,C,D) = k4_algstr_0(A,C) ) ) ) ) ) ) )).
fof(d16_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_matroid0(B,A) <=> ( ~ v3_pre_topc(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => v3_pre_topc(k7_subset_1(u1_struct_0(A),B,k1_tarski(C)),A) ) ) ) ) ) ) )).
fof(d16_mcart_1,axiom,( ! [A] : k15_mcart_1(A) = k1_xtuple_0(k2_xtuple_0(A)) )).
fof(d16_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k19_member_1(A,B) = k11_member_1(k1_tarski(B),A) ) ) )).
fof(d16_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v2_memstr_0(B,A) & l1_memstr_0(B,A) ) => k11_memstr_0(A,B) = a_2_0_memstr_0(A,B) ) ) )).
fof(d16_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => k7_mesfunc5(A,B,C,D) = k4_supinf_2(k6_mesfunc5(A,B,C,k1_mesfunc2(A,D)),k6_mesfunc5(A,B,C,k2_mesfunc2(A,D))) ) ) ) ) )).
fof(d16_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v2_struct_0(A) => ( D = k10_metric_1(A,B,C) <=> D = a_3_2_metric_1(A,B,C) ) ) & ( v2_struct_0(A) => ( D = k10_metric_1(A,B,C) <=> v1_xboole_0(D) ) ) ) ) ) ) ) )).
fof(d16_metric_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers))) ) => ( A = k16_metric_3 <=> ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ! [E] : ( m1_subset_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(k1_numbers,k1_numbers)) => ( ( F = k1_domain_1(k1_numbers,k1_numbers,B,D) & G = k1_domain_1(k1_numbers,k1_numbers,C,E) ) => k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,A,F,G) = k3_real_1(k4_binop_1(k1_numbers,k6_metric_1,B,C),k4_binop_1(k1_numbers,k6_metric_1,D,E)) ) ) ) ) ) ) ) ) ) )).
fof(d16_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => k14_midsp_1(A) = k6_midsp_1(A) ) )).
fof(d16_mod_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)))) ) => ( A = k14_mod_2 <=> ! [B] : ( m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) => ! [C] : ( m1_subset_1(C,k1_enumset1(k5_numbers,1,2)) => k4_binop_1(k1_enumset1(k5_numbers,1,2),A,B,C) = k12_mod_2(B,C) ) ) ) ) )).
fof(d16_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k7_mod_4(A,B,C) = C ) ) ) )).
fof(d16_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => ( v1_modal_1(A) <=> ? [B] : ( m1_subset_1(B,k3_modal_1) & A = k16_modal_1(B) ) ) ) )).
fof(d16_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( ( v1_modelc_3(A,B) & l1_modelc_3(A,B) ) => k10_modelc_3(A,B) = A ) & ( ~ ( v1_modelc_3(A,B) & l1_modelc_3(A,B) ) => k10_modelc_3(A,B) = g1_modelc_3(B,k7_modelc_3(B),k7_modelc_3(B),k7_modelc_3(B)) ) ) ) )).
fof(d16_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v13_monoid_0(A) <=> v5_monoid_0(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d16_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_msafree(C,A,k11_msafree(A,B)) => ( C = k13_msafree(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k12_msafree(A,B,D) ) ) ) ) ) )).
fof(d16_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_msualg_4(C,A,B,B) => ( v12_msafree4(C,A,B) <=> ! [D] : ( r2_tarski(D,A) => v3_rewrite1(k7_msafree4(A,B,B,C,D)) ) ) ) ) )).
fof(d16_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => k10_msafree5(A,B,C,D) = k4_card_1(k8_relat_1(D,k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))))) ) ) ) ) )).
fof(d16_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m1_msualg_2(D,A,B) => ! [E] : ( ( v3_msualg_1(E,A) & m1_msualg_2(E,A,B) ) => ( E = k11_msualg_2(A,B,C,D) <=> ( r8_pboole(u1_struct_0(A),u3_msualg_1(A,E),k3_pboole(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D))) & ! [F] : ( m3_pboole(F,u1_struct_0(A),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),F,u3_msualg_1(A,E)) => ( v3_msualg_2(F,A,B) & r8_pboole(u4_struct_0(A),u4_msualg_1(A,E),k4_msualg_2(A,B,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k13_msualg_4(A,B,C))) => ( D = k15_msualg_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,C)),E),k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(k4_msualg_4(A,B,C),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k13_msualg_4(A,B,C)),D,E),k14_msualg_4(A,B,C,E)) ) ) ) ) ) ) )).
fof(d16_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m4_nattra_1(C,A,B) => ( C = k8_nattra_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( m2_cat_1(E,A,B) & ? [F] : ( m2_cat_1(F,A,B) & ? [G] : ( m2_nattra_1(G,A,B,E,F) & D = k4_tarski(k4_tarski(E,F),G) & r2_nattra_1(A,B,E,F) ) ) ) ) ) ) ) ) )).
fof(d16_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( r12_ncfcont1(A,B,C) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r6_ncfcont1(A,k2_partfun1(u1_struct_0(A),k2_numbers,B,C),D) ) ) ) ) ) ) )).
fof(d16_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : k13_net_1(A,B) = k3_tarski(k11_net_1(A,B)) ) )).
fof(d16_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k10_normsp_3(A,k5_normsp_3(A,B,C))),u1_struct_0(k7_normsp_3(A,B,C))) & v13_vectsp_1(D,k10_normsp_3(A,k5_normsp_3(A,B,C)),k7_normsp_3(A,B,C)) & v1_lopban_1(D,k10_normsp_3(A,k5_normsp_3(A,B,C)),k7_normsp_3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_normsp_3(A,k5_normsp_3(A,B,C))),u1_struct_0(k7_normsp_3(A,B,C))))) ) => ( D = k14_normsp_3(A,B,C) <=> ( v3_normsp_3(D,k10_normsp_3(A,k5_normsp_3(A,B,C)),k7_normsp_3(A,B,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k10_normsp_3(A,k5_normsp_3(A,B,C)))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( E = k3_rlsub_1(A,F,k5_normsp_3(A,B,C)) => k3_funct_2(u1_struct_0(k10_normsp_3(A,k5_normsp_3(A,B,C))),u1_struct_0(k7_normsp_3(A,B,C)),D,E) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F) ) ) ) ) ) ) ) ) ) )).
fof(d16_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k12_ordinal2(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = 1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k11_ordinal2(A,k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k8_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(d16_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => k12_ordinal6(A,B) = k1_funct_1(k1_funct_1(k11_ordinal6(k1_classes1(k2_xboole_0(k2_xboole_0(A,B),k4_ordinal1))),A),B) ) ) )).
fof(d16_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(C,k6_dtconstr(k2_osafree(A,B))) => k14_osafree(A,B,C) = k2_trees_4(u1_struct_0(k2_osafree(A,B)),C) ) ) ) ) )).
fof(d16_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v11_osalg_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,C,D) => r1_tarski(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d16_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)))) ) => ( C = k15_osalg_2(A,B) <=> ! [D] : ( m2_subset_1(D,k14_msualg_2(A,B),k13_osalg_2(A,B)) => ! [E] : ( m2_subset_1(E,k14_msualg_2(A,B),k13_osalg_2(A,B)) => ! [F] : ( ( v3_msualg_1(F,A) & v12_osalg_1(F,A) & m1_msualg_2(F,A,B) ) => ! [G] : ( ( v3_msualg_1(G,A) & v12_osalg_1(G,A) & m1_msualg_2(G,A,B) ) => ( ( D = F & E = G ) => k4_binop_1(k13_osalg_2(A,B),C,D,E) = k11_msualg_2(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d16_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k6_pboole(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d16_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(A))) => k12_pdiff_1(A,B,C,D,E,F) = k3_ndiff_1(k4_real_ns1(1),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k7_pdiff_1(A,C,F),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),E,k4_pdiff_1(D,B))),k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(C,A),F)) ) ) ) ) ) ) )).
fof(d16_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r7_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k7_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,D) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,k1_pdiff_3(3,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(3,3,A),B),J),k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(3,3,A),B),D)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,D)),k1_funct_1(I,k6_xcmplx_0(J,D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_pencil_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v13_pencil_1(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => v1_zfmisc_1(B) ) ) ) )).
fof(d16_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_petri(A))) => k15_petri(A,B) = B ) ) )).
fof(d16_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,k5_polyform(A,k6_xcmplx_0(B,1))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_polyform(A,B))) => ! [E] : ( m2_finseq_1(E,u1_struct_0(k2_bspace)) => ( E = k16_polyform(A,B,C,D) <=> ( ( v1_xboole_0(k5_polyform(A,k6_xcmplx_0(B,1))) => E = k2_pre_poly(k1_xboole_0) ) & ( ~ v1_xboole_0(k5_polyform(A,k6_xcmplx_0(B,1))) => ( k3_finseq_1(E) = k8_polyform(A,B) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k8_polyform(A,B)) ) => k1_funct_1(E,F) = k8_group_1(k2_bspace,k3_bspace(D,k12_polyform(A,B,F)),k13_polyform(A,B,C,k12_polyform(A,B,F))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d16_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( m2_finseq_1(C,k15_pre_poly(A)) => ( C = k20_pre_poly(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k15_pre_poly(A))) & C = k7_pre_poly(k15_pre_poly(A),D,k17_pre_poly(A)) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_tarski(E,D) <=> r3_pre_poly(A,E,B) ) ) ) ) ) ) ) )).
fof(d16_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k15_pscomp_1(A) = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k11_pscomp_1(A),k12_pscomp_1(A)),A) ) )).
fof(d16_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ( r7_pua2mss1(A,B) <=> ? [C] : ( l3_msualg_1(C,B) & ? [D] : ( m2_pua2mss1(D,u4_struct_0(B)) & r6_pua2mss1(A,B,C,D) ) ) ) ) ) )).
fof(d16_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k14_qc_lang1(A,B,C) = k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(2,k5_numbers)),k11_qc_lang1(A,B)),k11_qc_lang1(A,C)) ) ) ) )).
fof(d16_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k12_qc_lang2(A,B) = k19_qc_lang1(A,k18_qc_lang1(A,B)) ) ) )).
fof(d16_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_quantal1(A,B,C) = k15_lattice3(A,a_3_7_quantal1(A,B,C)) ) ) ) )).
fof(d16_quaterni,axiom,( k16_quaterni = k5_numbers )).
fof(d16_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => k19_quofield(A) = g6_algstr_0(k7_quofield(A),k15_quofield(A),k16_quofield(A),k12_quofield(A),k11_quofield(A)) ) )).
fof(d16_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ! [C] : ( m1_ratfunc1(C,A) => k10_ratfunc1(A,B,C) = k3_ratfunc1(A,k11_polynom3(A,k4_ratfunc1(A,B),k4_ratfunc1(A,C)),k11_polynom3(A,k5_ratfunc1(A,B),k5_ratfunc1(A,C))) ) ) ) )).
fof(d16_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : k9_relat_1(A,B) = k7_relat_1(A,k1_tarski(B)) ) )).
fof(d16_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v8_relat_2(A) <=> r8_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d16_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_rewrite1(A) <=> ! [B] : ~ ( r1_tarski(B,k1_relat_1(A)) & B != k1_xboole_0 & ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,B) & C != D & r2_hidden(k4_tarski(C,D),A) ) ) ) ) ) )).
fof(d16_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B != k9_polynom3(A) => k8_ring_2(A,B) = k2_hurwitz(A,B) ) & ( B = k9_polynom3(A) => k8_ring_2(A,B) = k5_numbers ) ) ) ) )).
fof(d16_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( B = k9_ringcat1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_tarski(D,A) & r2_ringcat1(D,C) ) ) ) ) )).
fof(d16_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_rltopsp1(A,B,C,D) <=> ? [E] : ( v10_rltopsp1(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(B,E) & r2_tarski(C,E) & r2_tarski(D,E) ) ) ) ) ) ) )).
fof(d16_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => k13_rlvect_2(A,B) = B ) ) )).
fof(d16_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k11_robbins1(A,B) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),B)) ) ) )).
fof(d16_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) => ( B = k7_roughs_2(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),B,C) = k1_tops_1(A,C) ) ) ) ) )).
fof(d16_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k22_rvsum_1(A,B) = k18_rvsum_1(k14_rvsum_1(A,B)) ) ) )).
fof(d16_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [C] : ( m1_subset_1(C,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ( ( r1_xxreal_0(k3_xfamily(A),8) => ( C = k11_scmfsa_1(A,B) <=> ? [D] : ( m1_subset_1(D,k3_scm_inst) & ? [E] : ( m1_subset_1(E,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) & A = D & E = k11_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1),B,k1_ami_2) & C = k1_funct_4(B,k8_ami_2(D,E)) ) ) ) ) & ( k3_xfamily(A) = 9 => ( C = k11_scmfsa_1(A,B) <=> ? [D] : ( v1_int_1(D) & ? [E] : ( v7_ordinal1(E) & E = k1_int_2(k1_funct_1(B,k4_scmfsa_i(A))) & D = k7_partfun1(k4_numbers,k9_scmfsa_1(B,k5_scmfsa_i(A)),E) & C = k6_scmfsa_1(k7_scmfsa_1(B,k3_scmfsa_i(A),D),k2_xcmplx_0(k10_scmfsa_1(B),1)) ) ) ) ) & ( k3_xfamily(A) = 10 => ( C = k11_scmfsa_1(A,B) <=> ? [D] : ( m2_finseq_1(D,k4_numbers) & ? [E] : ( v7_ordinal1(E) & E = k1_int_2(k1_funct_1(B,k4_scmfsa_i(A))) & D = k1_funct_7(k9_scmfsa_1(B,k5_scmfsa_i(A)),E,k1_funct_1(B,k3_scmfsa_i(A))) & C = k6_scmfsa_1(k8_scmfsa_1(B,k5_scmfsa_i(A),D),k2_xcmplx_0(k10_scmfsa_1(B),1)) ) ) ) ) & ( k3_xfamily(A) = 11 => ( C = k11_scmfsa_1(A,B) <=> C = k6_scmfsa_1(k7_scmfsa_1(B,k7_scmfsa_i(A),k3_finseq_1(k9_scmfsa_1(B,k8_scmfsa_i(A)))),k2_xcmplx_0(k10_scmfsa_1(B),1)) ) ) & ( k3_xfamily(A) = 12 => ( C = k11_scmfsa_1(A,B) <=> ? [D] : ( m2_finseq_1(D,k4_numbers) & ? [E] : ( v7_ordinal1(E) & E = k1_int_2(k1_funct_1(B,k7_scmfsa_i(A))) & D = k5_finseq_2(k4_ordinal1,E,k5_numbers) & C = k6_scmfsa_1(k8_scmfsa_1(B,k8_scmfsa_i(A),D),k2_xcmplx_0(k10_scmfsa_1(B),1)) ) ) ) ) & ( k3_xfamily(A) = 13 => ( C = k11_scmfsa_1(A,B) <=> ? [D] : ( v1_int_1(D) & D = 1 & C = k6_scmfsa_1(k7_scmfsa_1(B,k6_scmfsa_i(A),D),k2_xcmplx_0(k10_scmfsa_1(B),1)) ) ) ) & ~ ( ~ r1_xxreal_0(k3_xfamily(A),8) & k3_xfamily(A) != 9 & k3_xfamily(A) != 10 & k3_xfamily(A) != 11 & k3_xfamily(A) != 12 & k3_xfamily(A) != 13 & ~ ( C = k11_scmfsa_1(A,B) <=> C = B ) ) ) ) ) ) )).
fof(d16_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_scmfsa_2(C) => k14_scmfsa_2(A,B,C) = k3_xtuple_0(9,k1_xboole_0,k11_finseq_1(A,C,B)) ) ) ) )).
fof(d16_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k15_scmpds_2(A,B,C,D) = k3_xtuple_0(12,k1_xboole_0,k7_finseq_4(A,B,C,D)) ) ) ) ) )).
fof(d16_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( m1_eqrel_1(B,k3_tarski(A)) => ( v7_scmyciel(B,A) <=> ! [C] : ( r2_tarski(C,B) => ( v4_scmyciel(k7_scmyciel(A,C)) & v5_scmyciel(k7_scmyciel(A,C)) & m1_subset_1(k7_scmyciel(A,C),k1_zfmisc_1(A)) ) ) ) ) ) )).
fof(d16_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( v1_xreal_0(C) => k21_seq_4(A,B,C) = a_3_0_seq_4(A,B,C) ) ) ) )).
fof(d16_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_sheffer1(A,B) = k5_sheffer1(A,B,B) ) ) )).
fof(d16_simplex0,axiom,( ! [A] : ! [B] : ( ( v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( ( v1_pre_topc(D) & v7_simplex0(D,A,B) & m2_simplex0(D,A,B) ) => ( D = k7_simplex0(A,B,C) <=> k2_struct_0(D) = C ) ) ) ) )).
fof(d16_sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k16_sin_cos <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k4_complex1(k11_comseq_3(k3_sin_cos(k3_xcmplx_0(B,k7_complex1)))) ) ) ) )).
fof(d16_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)))) => ( B = k10_stacks_1(A) <=> ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( r2_tarski(k1_domain_1(u4_struct_0(A),u4_struct_0(A),C,D),B) <=> r2_stacks_1(A,C,D) ) ) ) ) ) ) )).
fof(d16_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => k7_struct_0(A) = k1_card_1(u1_struct_0(A)) ) )).
fof(d16_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v1_substut1(B,A) <=> ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))),k1_substut1(A)))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) ) => ! [F] : ( m1_subset_1(F,k1_substut1(A)) => r2_hidden(k4_tarski(k7_finseq_1(k12_finseq_1(k8_qc_lang1(A,C),D),E),F),B) ) ) ) ) & ! [C] : ( m1_subset_1(C,k1_substut1(A)) => r2_tarski(k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1))),k1_substut1(A),k12_finseq_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers)),C),B) ) & ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ( r2_tarski(k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A)))),k1_substut1(A),C,D),B) => r2_hidden(k4_tarski(k7_finseq_1(k12_finseq_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers)),C),D),B) ) ) ) & ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ! [D] : ( m2_finseq_1(D,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ! [E] : ( m1_subset_1(E,k1_substut1(A)) => ( ( r2_tarski(k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A)))),k1_substut1(A),C,E),B) & r2_tarski(k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A)))),k1_substut1(A),D,E),B) ) => r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers)),C),D),E),B) ) ) ) ) & ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_finseq_1(D,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => ! [E] : ( m1_subset_1(E,k1_substut1(A)) => ( r2_hidden(k4_tarski(D,k1_funct_1(k15_substut1(A),k4_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,3,k5_numbers)),k12_finseq_1(k3_qc_lang1(A),C)),D),E))),B) => r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(k12_finseq_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,3,k5_numbers)),k12_finseq_1(k3_qc_lang1(A),C)),D),E),B) ) ) ) ) ) ) ) )).
fof(d16_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => k12_trees_3(A) = k11_trees_3(k9_finseq_1(A)) ) )).
fof(d16_turing_1,axiom,( k14_turing_1 = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k11_turing_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k5_numbers),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,1,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,1,1))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers),k3_xtuple_0(3,k5_numbers,k4_xcmplx_0(1)))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,2,1),k3_xtuple_0(3,k5_numbers,k4_xcmplx_0(1)))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,3,1),k3_xtuple_0(3,1,k4_xcmplx_0(1)))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,3,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,4,k5_numbers,k5_numbers))) )).
fof(d16_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k17_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k1_binarith(k1_binarith(k8_margrel1(B),k8_margrel1(C)),D) ) ) ) ) ) )).
fof(d16_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)))) ) => ( B = k11_unialg_2(A) <=> ! [C] : ( m1_subset_1(C,k9_unialg_2(A)) => ! [D] : ( m1_subset_1(D,k9_unialg_2(A)) => ! [E] : ( ( v1_unialg_1(E) & m1_unialg_2(E,A) ) => ! [F] : ( ( v1_unialg_1(F) & m1_unialg_2(F,A) ) => ( ( C = E & D = F ) => k4_binop_1(k9_unialg_2(A),B,C,D) = k5_unialg_2(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d16_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ( v8_valued_0(A) <=> ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) & r1_xxreal_0(B,C) ) => r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d16_valued_2,axiom,( ! [A] : ! [B] : ( B = k10_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) ) )).
fof(d16_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v11_vectsp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k3_vectsp_1(A,B,k5_struct_0(A),C) = C ) ) ) ) )).
fof(d16_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k4_waybel_0(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_orders_2(A,E,D) & r2_tarski(E,B) ) ) ) ) ) ) ) )).
fof(d16_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k2_waybel_1(A,B,C) = k6_relset_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(k1_yellow_2(A,B,C)),C) ) ) ) )).
fof(d16_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) => ( C = k11_waybel_4(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_orders_2(A,D,k1_yellow_0(A,B)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),C,D) = k9_subset_1(u1_struct_0(A),k5_waybel_0(A,D),B) ) & ( ~ r3_orders_2(A,D,k1_yellow_0(A,B)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),C,D) = k5_waybel_0(A,D) ) ) ) ) ) ) ) )).
fof(d16_xtuple_0,axiom,( ! [A] : k13_xtuple_0(A) = k9_xtuple_0(k11_xtuple_0(A)) )).
fof(d16_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v5_yellow_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,u1_struct_0(B)) & r2_tarski(D,u1_struct_0(B)) & r2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)) ) => r2_tarski(k2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(d16_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( v3_yellow_6(B,A) <=> k9_yellow_6(A,B) != k1_xboole_0 ) ) ) )).
fof(d16_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k9_zf_lang(A,B) = k5_zf_lang(k6_zf_lang(k5_zf_lang(A),k5_zf_lang(B))) ) ) )).
fof(d16_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( B = k8_zmodul01(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_zmodul01(C) & m1_zmodul01(C,A) ) ) ) ) )).
fof(d16_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_int_3) & v9_vectsp_1(A,k1_int_3) & v10_vectsp_1(A,k1_int_3) & v11_vectsp_1(A,k1_int_3) & l1_vectsp_1(A,k1_int_3) ) => k16_zmodul02(A) = u1_vectsp_1(k1_int_3,A) ) )).
fof(d17_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => k5_abcmiz_0(A,B,C) = k1_yellow_0(A,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k3_abcmiz_0(A,C),k5_waybel_0(A,B))) ) ) ) )).
fof(d17_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => k16_abcmiz_1(A) = k9_abcmiz_1 ) )).
fof(d17_abcmiz_a,axiom,( k16_abcmiz_a = k40_abcmiz_1(k27_abcmiz_1,k1_subset_1(k38_abcmiz_1(k27_abcmiz_1)),k13_abcmiz_a(k27_abcmiz_1,k15_abcmiz_a(k8_abcmiz_a))) )).
fof(d17_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v7_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_absred_0(B,A) & v2_absred_0(C,A) & r7_absred_0(A,B,C) ) => B = C ) ) ) ) ) )).
fof(d17_algstr_4,axiom,( ! [A] : k14_algstr_4(A) = g3_algstr_0(k12_algstr_4(A),k13_algstr_4(A)) )).
fof(d17_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_altcat_1(A,B,B)) => ( C = k8_altcat_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_altcat_1(A,B,D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,B,D)) => k5_altcat_1(A,B,B,D,C,E) = E ) ) ) ) ) ) ) )).
fof(d17_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & v4_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k13_aofa_000(A,B,C) = k1_funct_1(k2_pua2mss1(A,k10_subset_1(2,k4_finseq_1(u1_unialg_1(A)))),k2_finseq_4(u1_struct_0(A),B,C)) ) ) ) )).
fof(d17_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_relat_1(C) & m1_msafree(C,A,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & l3_aofa_a00(D,A,B,C) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => k11_aofa_a00(A,B,C,D,E,F,G) = k1_funct_1(u3_aofa_a00(A,B,C,D),k4_tarski(F,G)) ) ) ) ) ) ) ) )).
fof(d17_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) => ( ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_aofa_i00(A,E,B,C,D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(B,k4_numbers),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),k4_numbers))) ) => ( m3_aofa_i00(E,A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_funct_2(B,k4_numbers),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),B))) & r2_aofa_i00(A,B,C,D,F,E) ) ) ) ) ) ) ) ) )).
fof(d17_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ! [C] : ! [D] : ( r4_armstrng(A,B,C,D) <=> r2_hidden(k4_tarski(C,D),k8_armstrng(A,B)) ) ) )).
fof(d17_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ( ( v1_wellfnd1(A) & r1_tarski(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k15_bagorder(A,B) <=> ( r2_tarski(C,B) & r4_waybel_4(B,C,u1_orders_2(A)) ) ) ) ) ) ) )).
fof(d17_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => k7_bcialg_1(A,B) = a_2_0_bcialg_1(A,B) ) ) )).
fof(d17_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_2(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),B),k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),B),k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)))) ) => ( C = k7_bcialg_2(A,B) <=> ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k8_eqrel_1(u1_struct_0(A),B)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k8_eqrel_1(u1_struct_0(A),B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( D = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),B,F) & E = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),B,G) ) => k4_binop_1(k8_eqrel_1(u1_struct_0(A),B),C,D,E) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),B,k1_bcialg_1(A,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(d17_bilinear,axiom,( ! [A] : ( l2_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => k12_bilinear(A,B,C) = a_3_0_bilinear(A,B,C) ) ) ) )).
fof(d17_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r2_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => k1_binop_1(C,D,B) = D ) ) ) ) )).
fof(d17_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers))) ) => ( A = k17_binop_2 <=> ! [B] : ( v1_rat_1(B) => ! [C] : ( v1_rat_1(C) => k1_binop_1(A,B,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(d17_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ( r1_borsuk_1(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_borsuk_1(C,A,B) ) ) ) ) )).
fof(d17_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k17_bvfunc_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ( ( ? [F] : ( m1_subset_1(F,A) & r2_tarski(F,k15_bvfunc_1(A,E,C)) & k3_funct_2(A,k5_margrel1,B,F) = k7_margrel1 ) => k3_funct_2(A,k5_margrel1,D,E) = k7_margrel1 ) & ( ! [F] : ( m1_subset_1(F,A) => ~ ( r2_tarski(F,k15_bvfunc_1(A,E,C)) & k3_funct_2(A,k5_margrel1,B,F) = k7_margrel1 ) ) => k3_funct_2(A,k5_margrel1,D,E) = k6_margrel1 ) ) ) ) ) ) ) ) )).
fof(d17_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k6_c0sp1(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k6_c0sp1(A),k1_numbers))) ) => ( B = k10_c0sp1(A) <=> ! [C] : ( r2_hidden(C,k6_c0sp1(A)) => k1_funct_1(B,C) = k2_seq_4(k9_c0sp1(A,k8_c0sp1(A,C))) ) ) ) ) )).
fof(d17_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) & v1_partfun1(C,A) ) => k13_card_3(A,B,C) = C ) ) )).
fof(d17_card_fil,axiom,( ! [A] : ( ( v1_card_1(A) & ~ v2_card_1(A) ) => ! [B] : ( v1_card_1(B) => ( B = k6_card_fil(A) <=> A = k2_card_1(B) ) ) ) )).
fof(d17_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v9_cat_1(D,A,B,C) => ! [E] : ( m1_cat_1(E,A,C,B) => ( E = k6_cat_1(A,B,C,D) <=> ( k5_cat_1(A,C,B,C,E,D) = k4_cat_1(A,C) & k5_cat_1(A,B,C,B,D,E) = k4_cat_1(A,B) ) ) ) ) ) ) ) ) )).
fof(d17_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u4_struct_0(A)))) ) => ( r3_cat_3(A,B,C,D) <=> ( m2_cat_3(D,A,B,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m2_cat_3(F,A,E,C) => ~ ( r2_funct_2(C,u1_struct_0(A),k2_cat_3(A,C,D),k2_cat_3(A,C,F)) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ~ ( r2_tarski(G,k2_cat_1(A,B,E)) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ( r2_tarski(H,k2_cat_1(A,B,E)) => ( ! [I] : ( r2_tarski(I,C) => k1_cat_1(A,k7_partfun1(u4_struct_0(A),D,I),H) = k7_partfun1(u4_struct_0(A),F,I) ) <=> G = H ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k16_cat_4(A,B,C,D) = k9_cat_4(A,B,k2_cat_4(A,C,D),k2_cat_4(A,k2_cat_4(A,B,C),D),k5_cat_1(A,k2_cat_4(A,k2_cat_4(A,B,C),D),k2_cat_4(A,B,C),B,k7_cat_4(A,k2_cat_4(A,B,C),D),k7_cat_4(A,B,C)),k9_cat_4(A,C,D,k2_cat_4(A,k2_cat_4(A,B,C),D),k5_cat_1(A,k2_cat_4(A,k2_cat_4(A,B,C),D),k2_cat_4(A,B,C),C,k7_cat_4(A,k2_cat_4(A,B,C),D),k8_cat_4(A,B,C)),k8_cat_4(A,k2_cat_4(A,B,C),D))) ) ) ) ) )).
fof(d17_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => k6_cat_6(A) = a_1_0_cat_6(A) ) )).
fof(d17_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k6_cat_6(A)) => ! [E] : ( m1_subset_1(E,k6_cat_6(A)) => ! [F] : ( m1_cat_7(F,A,C,B) => ( k1_cat_7(A,C,B) != k1_xboole_0 => ! [G] : ( m1_cat_7(G,A,D,B) => ( k1_cat_7(A,D,B) != k1_xboole_0 => ! [H] : ( m1_cat_7(H,A,E,C) => ( k1_cat_7(A,E,C) != k1_xboole_0 => ! [I] : ( m1_cat_7(I,A,E,D) => ( k1_cat_7(A,E,D) != k1_xboole_0 => ( r2_cat_7(A,B,C,D,E,F,G,H,I) <=> ( k4_cat_7(A,E,C,B,H,F) = k4_cat_7(A,E,D,B,I,G) & ! [J] : ( m1_subset_1(J,k6_cat_6(A)) => ! [K] : ( m1_cat_7(K,A,J,C) => ! [L] : ( m1_cat_7(L,A,J,D) => ( k4_cat_7(A,J,C,B,K,F) = k4_cat_7(A,J,D,B,L,G) => ( k1_cat_7(A,J,C) = k1_xboole_0 | k1_cat_7(A,J,D) = k1_xboole_0 | ( k1_cat_7(A,J,E) != k1_xboole_0 & ? [M] : ( m1_cat_7(M,A,J,E) & k4_cat_7(A,J,E,C,M,H) = K & k4_cat_7(A,J,E,D,M,I) = L & ! [N] : ( m1_cat_7(N,A,J,E) => ( ( k4_cat_7(A,J,E,C,N,H) = K & k4_cat_7(A,J,E,D,N,I) = L ) => M = N ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_msafree2(E) & l1_msualg_1(E) ) => ! [F] : ( ( v4_msualg_1(F,E) & v4_msafree2(F,E) & l3_msualg_1(F,E) ) => ( r7_circtrm1(A,C,B,D,E,F) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v2_funct_1(G) ) => ( m2_circtrm1(G,A,B,C,D,E,F) <=> ( r3_circtrm1(k1_circtrm1(A,B,D),E,G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & r4_circtrm1(k1_circtrm1(A,B,D),E,G,H,k6_circtrm1(A,B,D,C),F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_coh_sp,axiom,( ! [A] : k15_coh_sp(A) = k3_tarski(a_1_3_coh_sp(A)) )).
fof(d17_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k7_cohsp_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ? [E] : ( C = k4_tarski(D,E) & r2_tarski(D,k9_xtuple_0(A)) & r2_tarski(E,k1_funct_1(A,D)) & ! [F] : ( ( r2_tarski(F,k9_xtuple_0(A)) & r1_tarski(F,D) & r2_tarski(E,k1_funct_1(A,F)) ) => D = F ) ) ) ) ) )).
fof(d17_comput_1,axiom,( k10_comput_1 = k2_xboole_0(k2_tarski(k3_comput_1(k5_numbers,k5_numbers),k4_comput_1(1,1)),a_0_1_comput_1) )).
fof(d17_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k7_conlat_1(A) = a_1_0_conlat_1(A) ) )).
fof(d17_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => k15_convex4(A) = g1_clvect_1(k10_convex4(A),k12_convex4(A,k2_convex4(A)),k13_convex4(A),k14_convex4(A)) ) )).
fof(d17_csspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k9_csspace,k9_csspace),k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_csspace,k9_csspace),k2_numbers))) ) => ( A = k15_csspace <=> ! [B] : ! [C] : ( ( r2_hidden(B,k9_csspace) & r2_hidden(C,k9_csspace) ) => k1_binop_1(A,B,C) = k11_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(B),k2_comseq_2(k4_ordinal1,k2_csspace(C)))) ) ) ) )).
fof(d17_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k12_decomp_1(A) = a_1_6_decomp_1(A) ) )).
fof(d17_descip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)))) ) => ( A = k27_descip_1 <=> ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => k3_funct_2(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),A,B) = k26_descip_1(B) ) ) ) )).
fof(d17_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k15_e_siec(A) = k2_xboole_0(k2_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))),k4_relat_1(k4_xboole_0(u1_struct_0(A),k10_xtuple_0(u2_e_siec(A))))) ) )).
fof(d17_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(k11_ens_1(A))) => k15_ens_1(A,B) = B ) ) )).
fof(d17_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k14_facirc_1(A,B,C) = k2_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C))),k5_circcomb(k3_facirc_1,k10_finseq_1(C,A))) )).
fof(d17_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k17_ff_siec(A) = k2_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))),k4_relat_1(u4_struct_0(A))) ) )).
fof(d17_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( A = B <=> ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) ) ) )).
fof(d17_fomodel0,axiom,( ! [A] : ! [B] : k15_fomodel0(A,B) = A )).
fof(d17_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v7_fomodel1(B,A) <=> r2_tarski(B,k4_fomodel1(A)) ) ) ) )).
fof(d17_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_rfunct_3(C,k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) => ( D = k18_fomodel2(A,B,C) <=> ( ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [F] : ( m2_subset_1(F,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),E,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),D)) <=> ? [G] : ( v4_fomodel1(G,A) & m1_subset_1(G,k1_fomodel1(A)) & ? [H] : ( m2_subset_1(H,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),E,H),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),C)) & F = k42_fomodel1(A,k43_fomodel1(A,G),H) ) ) ) ) ) & ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [F] : ( m2_subset_1(F,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),E,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),D)) => k1_binop_1(D,E,F) = k17_fomodel2(A,B,E,C,F) ) ) ) ) ) ) ) ) ) )).
fof(d17_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k22_fomodel3(A,B,C,D) <=> ( k9_xtuple_0(E) = k37_fomodel1(A) & ! [F] : ( m2_subset_1(F,k15_fomodel1(A),k37_fomodel1(A)) => k1_funct_1(E,F) = k20_fomodel3(A,B,F,C,k4_fomodel2(A,B,D,F)) ) ) ) ) ) ) ) ) )).
fof(d17_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( v11_fomodel4(C,A,B) <=> ! [D] : ( v9_fomodel4(D,A,B,C) => r1_tarski(k1_tarski(D),C) ) ) ) ) )).
fof(d17_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( v1_freealg(B) => ! [C] : ( m2_finseq_1(C,k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B)))) => ( C = k14_freealg(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k13_freealg(A,B,D) ) ) ) ) ) ) ) )).
fof(d17_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k17_ftacell1(A,B,C,D,E) = k21_gfacirc1(k36_gfacirc1(A,B,C),E,D) )).
fof(d17_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k1_altcat_1(B,C,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_altcat_1(B,C,C)) => ! [E] : ( ( v9_functor0(E,A,B) & l2_functor0(E,A,B) ) => ( E = k9_functor0(A,B,C,D) <=> ( r8_pboole(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_functor0(A,B,E),k7_funcop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k4_tarski(C,C))) & u2_functor0(A,B,E) = a_4_0_functor0(A,B,C,D) ) ) ) ) ) ) ) ) )).
fof(d17_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & k17_gate_1(A,B,C,D) != k1_gate_1(k1_xboole_0) ) & ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) ) => k17_gate_1(A,B,C,D) = k1_xboole_0 ) ) )).
fof(d17_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k17_gate_5(A,B,C,D,E,F,G) = k9_gate_1(k2_gate_1(E,F),k2_gate_1(k3_gate_1(E,F),k2_gate_1(C,D)),k8_gate_1(k3_gate_1(E,F),k3_gate_1(C,D),k11_gate_1(A,B,G))) )).
fof(d17_gaussint,axiom,( k14_gaussint = g6_algstr_0(k8_gaussint,k9_gaussint,k10_gaussint,k10_subset_1(1,k8_gaussint),k10_subset_1(k5_numbers,k8_gaussint)) )).
fof(d17_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r7_gcd_1(A,C,D) & r7_gcd_1(A,E,F) & D = k4_gcd_1(A,B,D) & F = k4_gcd_1(A,B,F) ) => ( ( C = k4_struct_0(A) => k7_gcd_1(A,B,C,D,E,F) = F ) & ( E = k4_struct_0(A) => k7_gcd_1(A,B,C,D,E,F) = D ) & ( k5_gcd_1(A,B,D,F) = k5_struct_0(A) => k7_gcd_1(A,B,C,D,E,F) = k8_group_1(A,D,F) ) & ( k3_rlvect_1(A,k8_group_1(A,C,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k8_group_1(A,E,k1_gcd_1(A,D,k5_gcd_1(A,B,D,F)))) = k4_struct_0(A) => k7_gcd_1(A,B,C,D,E,F) = k5_struct_0(A) ) & ~ ( C != k4_struct_0(A) & E != k4_struct_0(A) & k5_gcd_1(A,B,D,F) != k5_struct_0(A) & k3_rlvect_1(A,k8_group_1(A,C,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k8_group_1(A,E,k1_gcd_1(A,D,k5_gcd_1(A,B,D,F)))) != k4_struct_0(A) & k7_gcd_1(A,B,C,D,E,F) != k1_gcd_1(A,k8_group_1(A,D,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k5_gcd_1(A,B,k3_rlvect_1(A,k8_group_1(A,C,k1_gcd_1(A,F,k5_gcd_1(A,B,D,F))),k8_group_1(A,E,k1_gcd_1(A,D,k5_gcd_1(A,B,D,F)))),k5_gcd_1(A,B,D,F))) ) ) ) ) ) ) ) ) ) )).
fof(d17_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k17_gfacirc1(A,B,C) = k2_circcomb(k2_circcomb(k5_circcomb(k3_gfacirc1,k10_finseq_1(A,B)),k5_circcomb(k2_twoscomp,k10_finseq_1(B,C))),k5_circcomb(k3_facirc_1,k10_finseq_1(C,A))) )).
fof(d17_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k14_glib_001(A,B) = k2_relset_1(k7_glib_000(A),k12_glib_001(A,B)) ) ) )).
fof(d17_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_004(B,A) => ( B = k16_glib_004(A) <=> ( k15_glib_004(A,B,k5_numbers) = k13_glib_004(A) & ! [C] : ( v7_ordinal1(C) => k15_glib_004(A,B,k1_nat_1(C,1)) = k14_glib_004(A,k15_glib_004(A,B,C)) ) ) ) ) ) )).
fof(d17_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( ( v5_glib_001(C,A) & m3_glib_001(C,A) ) => ( r5_glib_005(A,B,C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k7_glib_000(A)) & v1_funct_1(D) & v1_partfun1(D,k7_glib_000(A)) & v4_valued_0(D) ) => ( D = k10_glib_005(A,B,C) <=> ( ! [E] : ( r2_tarski(E,k7_glib_000(A)) => ( r2_tarski(E,k14_glib_001(A,C)) | k1_funct_1(D,E) = k1_funct_1(B,E) ) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => ( ~ r1_xxreal_0(k3_finseq_1(C),E) => ( ( r2_glib_000(A,k1_funct_1(C,E),k1_funct_1(C,k1_nat_1(E,2)),k1_funct_1(C,k1_nat_1(E,1))) => k1_funct_1(D,k1_funct_1(C,k1_nat_1(E,1))) = k2_xcmplx_0(k1_funct_1(B,k1_funct_1(C,k1_nat_1(E,1))),k9_glib_005(A,B,C)) ) & ( ~ r2_glib_000(A,k1_funct_1(C,E),k1_funct_1(C,k1_nat_1(E,2)),k1_funct_1(C,k1_nat_1(E,1))) => k1_funct_1(D,k1_funct_1(C,k1_nat_1(E,1))) = k6_xcmplx_0(k1_funct_1(B,k1_funct_1(C,k1_nat_1(E,1))),k9_glib_005(A,B,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v7_graph_1(D,A) & m2_graph_1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r7_graph_5(A,B,C,D,E) <=> ( r1_graph_5(A,D,B,C) & ! [F] : ( ( v7_graph_1(F,A) & m2_graph_1(F,A) ) => ( r1_graph_5(A,F,B,C) => r1_xxreal_0(k10_graph_5(A,D,E),k10_graph_5(A,F,E)) ) ) ) ) ) ) ) ) ) )).
fof(d17_graphsp,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r3_graphsp(A,B,C,D) <=> ( k1_funct_1(A,k3_finseq_1(A)) = C & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(A),E) | k1_funct_1(A,k6_xcmplx_0(k3_finseq_1(A),E)) = k1_funct_1(B,k1_nat_1(D,k7_partfun1(k4_ordinal1,A,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),E),1)))) ) ) ) ) ) ) ) ) ) )).
fof(d17_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( v2_group_10(B,A) <=> ? [C] : ( v7_ordinal1(C) & k7_struct_0(B) = k1_newton(A,C) ) ) ) ) )).
fof(d17_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => k17_group_2(A,B) = k1_card_1(k15_group_2(A,B)) ) ) )).
fof(d17_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => k10_group_9(A,B,C) = g1_group_9(A,k7_group_9(A,B,C),k8_group_9(A,B,C),k9_group_9(A,B,C)) ) ) )).
fof(d17_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_rlvect_1(B) & l1_rlvect_1(B) ) => ( B = k10_hahnban1(A) <=> ( g2_algstr_0(u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B)) = g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A)) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_binop_1(u1_rlvect_1(B),C,D) = k3_vectsp_1(k1_complfld,A,k1_hahnban1(C,k5_numbers),D) ) ) ) ) ) ) )).
fof(d17_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,k4_ordinal1,B,6) & m2_finseq_1(D,k3_finseq_2(k4_ordinal1)) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( E = k17_idea_1(A,B,C,D) <=> ( k3_finseq_1(E) = A & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k15_idea_1(C,k7_matrix_0(k4_ordinal1,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(d17_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ( v14_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u4_incsp_1(A)) => ( ( r1_incsp_1(A,B,C) & r3_incsp_1(A,C,D) ) => r2_incsp_1(A,B,D) ) ) ) ) ) ) )).
fof(d17_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) ) => ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & v3_cat_5(D) & l1_cat_1(D) ) => ! [E] : ( m2_cat_1(E,C,D) => ! [F] : ( m5_index_1(F,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ( F = k15_index_1(A,B,C,D,E) <=> ! [G] : ( m4_index_1(G,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => ! [H] : ( m2_cat_1(H,G,D) => ( ( G = C & r1_funct_2(u4_struct_0(G),u4_struct_0(D),u4_struct_0(C),u4_struct_0(D),H,E) ) => F = k13_index_1(A,D,k9_cat_1(A,G,D,k9_index_1(A,B,G),H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( D = k11_integr15(A,B,C) <=> ( k4_finseq_1(D) = k2_finseq_1(A) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k2_finseq_1(A)) => k1_funct_1(D,E) = k2_integra5(B,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(E,A))) ) ) ) ) ) ) ) ) )).
fof(d17_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k12_integra1(A,B) = k10_integra1(A,B) ) ) )).
fof(d17_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_interva1(B,A) => ! [C] : ( m2_interva1(C,A) => ( r2_interva1(A,B,C) <=> ( k14_interva1(A,B) = k14_interva1(A,C) & k15_interva1(A,B) = k15_interva1(A,C) ) ) ) ) ) )).
fof(d17_lattad_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) ) => ( A = k11_lattad_1 <=> ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ! [C] : ( m1_subset_1(C,k1_enumset1(1,2,3)) => k4_binop_1(k1_enumset1(1,2,3),A,B,C) = k10_lattad_1(B,C) ) ) ) ) )).
fof(d17_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( r4_lattice3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r1_lattices(A,D,B) ) ) ) ) ) )).
fof(d17_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => k13_lattice5(A,B,C) = k8_lattice5(A,k7_lattice5(A,B,C)) ) ) ) )).
fof(d17_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ( v14_lattices(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k6_lattices(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,B,C) = B & k1_lattices(A,C,B) = B ) ) ) ) ) ) )).
fof(d17_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m2_lexbfs(B,A) => ( B = k16_lexbfs(A) <=> ( k13_lexbfs(A,B,k5_numbers) = k9_lexbfs(A) & ! [C] : ( v7_ordinal1(C) => k13_lexbfs(A,B,k1_nat_1(C,1)) = k12_lexbfs(A,k13_lexbfs(A,B,C)) ) ) ) ) ) )).
fof(d17_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k7_lmod_7(A,B,C),k7_lmod_7(A,B,C)),k7_lmod_7(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_lmod_7(A,B,C),k7_lmod_7(A,B,C)),k7_lmod_7(A,B,C)))) ) => ( D = k12_lmod_7(A,B,C) <=> ! [E] : ( m1_subset_1(E,k7_lmod_7(A,B,C)) => ! [F] : ( m1_subset_1(F,k7_lmod_7(A,B,C)) => k4_binop_1(k7_lmod_7(A,B,C),D,E,F) = k10_lmod_7(A,B,C,E,F) ) ) ) ) ) ) ) )).
fof(d17_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k20_lpspacc1(A,B,C) = k17_lpspacc1(A,B,C,k8_funcop_1(k2_numbers,A,k5_complex1)) ) ) ) )).
fof(d17_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)))) ) => ( D = k17_lpspace1(A,B,C) <=> ! [E] : ( v1_xreal_0(E) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k9_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_tarski(G,F) => k1_binop_1(D,E,F) = k13_lpspace1(A,B,C,k26_valued_1(A,k1_numbers,G,E)) ) ) ) ) ) ) ) ) ) )).
fof(d17_ltlaxio1,axiom,( ! [A] : ( v2_ltlaxio1(A) <=> ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( ( v1_ltlaxio1(B) => r2_tarski(B,A) ) & r2_tarski(k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(B)),k2_ltlaxio1(k1_ltlaxio1(B))),A) & r2_tarski(k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(B)),k1_ltlaxio1(k2_ltlaxio1(B))),A) & r2_tarski(k3_hilbert1(k2_ltlaxio1(k3_hilbert1(B,C)),k3_hilbert1(k2_ltlaxio1(B),k2_ltlaxio1(C))),A) & r2_tarski(k3_hilbert1(k6_ltlaxio1(B),k4_ltlaxio1(B,k2_ltlaxio1(k6_ltlaxio1(B)))),A) & r2_tarski(k3_hilbert1(k4_hilbert1(B,C),k5_ltlaxio1(k2_ltlaxio1(C),k2_ltlaxio1(k4_ltlaxio1(B,k4_hilbert1(B,C))))),A) & r2_tarski(k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(C),k2_ltlaxio1(k4_ltlaxio1(B,k4_hilbert1(B,C)))),k4_hilbert1(B,C)),A) & r2_tarski(k3_hilbert1(k4_hilbert1(B,C),k2_ltlaxio1(k7_ltlaxio1(C))),A) ) ) ) ) )).
fof(d17_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( B = k12_margrel1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k3_xboolean(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d17_mcart_1,axiom,( ! [A] : k16_mcart_1(A) = k2_xtuple_0(k2_xtuple_0(A)) )).
fof(d17_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k20_member_1(A,B) = k10_member_1(A,k1_tarski(B)) ) ) )).
fof(d17_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(A,B),k11_memstr_0(A,B)))) ) => ( v6_memstr_0(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) ) => ( r2_tarski(D,k9_xtuple_0(C)) => ( v4_memstr_0(D,A,B) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) ) => ( E = k1_funct_1(C,D) => v4_memstr_0(E,A,B) ) ) ) ) ) ) ) ) ) )).
fof(d17_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfunc5(A,B,C,D) <=> ( ? [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) & E = k1_relset_1(A,D) & r1_mesfunc1(A,B,D,E) ) & ~ r1_xxreal_0(k1_supinf_1,k6_mesfunc5(A,B,C,k1_mesfunc2(A,D))) & ~ r1_xxreal_0(k1_supinf_1,k6_mesfunc5(A,B,C,k2_mesfunc2(A,D))) ) ) ) ) ) ) )).
fof(d17_metric_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v10_metric_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ~ ( C != D & r1_xxreal_0(k2_binop_1(A,A,k1_numbers,B,C,D),k5_numbers) ) ) ) ) ) ) )).
fof(d17_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => k15_midsp_1(A) = g2_algstr_0(k10_midsp_1(A),k12_midsp_1(A),k14_midsp_1(A)) ) )).
fof(d17_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( m1_mod_4(F,A,B,C,D,E) <=> ( ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => k3_funct_2(u1_struct_0(D),u1_struct_0(E),F,k3_rlvect_1(D,G,H)) = k3_rlvect_1(E,k3_funct_2(u1_struct_0(D),u1_struct_0(E),F,G),k3_funct_2(u1_struct_0(D),u1_struct_0(E),F,H)) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => k3_funct_2(u1_struct_0(D),u1_struct_0(E),F,k3_vectsp_1(A,D,G,H)) = k3_vectsp_1(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,G),k3_funct_2(u1_struct_0(D),u1_struct_0(E),F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => ( v2_modal_1(A) <=> ? [B] : ( m1_subset_1(B,k6_modal_1) & A = k10_modal_1(B) ) ) ) )).
fof(d17_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => k11_modelc_3(A) = g1_modelc_3(A,k7_modelc_3(A),k7_modelc_3(A),k8_modelc_3(A)) ) )).
fof(d17_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v14_monoid_0(A) <=> v6_monoid_0(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d17_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k12_msafree(A,B,C),k1_funct_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k12_msafree(A,B,C),k1_funct_1(B,C)))) ) => ( D = k14_msafree(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(A,B))) => ( r2_tarski(k2_trees_4(u1_struct_0(k5_msafree(A,B)),E),k12_msafree(A,B,C)) => k1_funct_1(D,k2_trees_4(u1_struct_0(k5_msafree(A,B)),E)) = k1_xtuple_0(E) ) ) ) ) ) ) ) )).
fof(d17_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => k11_msafree5(A,B,C,D) = k6_trees_1(k9_xtuple_0(D)) ) ) ) ) )).
fof(d17_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( ( v3_msualg_1(D,A) & m1_msualg_2(D,A,B) ) => ( D = k12_msualg_2(A,B,C) <=> ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,D)) & ! [E] : ( m1_msualg_2(E,A,B) => ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,E)) => m1_msualg_2(D,A,E) ) ) ) ) ) ) ) ) )).
fof(d17_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v3_relat_2(F) & v8_relat_2(F) & v1_partfun1(F,k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),E)))) ) => ( F = k16_msualg_4(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(G,H),F) <=> k3_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),G) = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),H) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_cat_1(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ( C = k9_nattra_1(A,B) <=> ( u1_struct_0(C) = k4_cat_2(A,B) & u4_struct_0(C) = k8_nattra_1(A,B) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ( k3_graph_1(C,D) = k1_xtuple_0(k1_xtuple_0(D)) & k4_graph_1(C,D) = k2_xtuple_0(k1_xtuple_0(D)) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ( k3_graph_1(C,E) = k4_graph_1(C,D) => r2_tarski(k8_cat_2(C,C,E,D),k9_xtuple_0(u1_cat_1(C))) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ~ ( r2_tarski(k8_cat_2(C,C,E,D),k9_xtuple_0(u1_cat_1(C))) & ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m2_cat_1(G,A,B) => ! [H] : ( m2_cat_1(H,A,B) => ! [I] : ( m2_nattra_1(I,A,B,F,G) => ! [J] : ( m2_nattra_1(J,A,B,G,H) => ~ ( D = k4_tarski(k4_tarski(F,G),I) & E = k4_tarski(k4_tarski(G,H),J) & k1_funct_1(u1_cat_1(C),k8_cat_2(C,C,E,D)) = k4_tarski(k4_tarski(F,H),k5_nattra_1(A,B,F,G,H,I,J)) ) ) ) ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m2_cat_1(E,A,B) => ( E = D => k4_cat_1(C,D) = k4_tarski(k4_tarski(E,E),k4_nattra_1(A,B,E)) ) ) ) ) ) ) ) ) )).
fof(d17_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r13_ncfcont1(A,B,C,D) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(F,C) & r2_tarski(G,C) ) => r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),D,F),k7_partfun1(u1_struct_0(B),D,G))),k3_xcmplx_0(E,k2_normsp_0(A,k5_algstr_0(A,F,G)))) ) ) ) ) ) ) ) ) ) )).
fof(d17_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k15_normsp_3(A,B,C) = a_3_0_normsp_3(A,B,C) ) ) ) )).
fof(d17_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v9_oposet_1(B,A) <=> ( v1_partit_2(B) & v5_waybel_0(B,A,A) ) ) ) ) )).
fof(d17_ordinal1,axiom,( ! [A] : k6_ordinal1(A) = A )).
fof(d17_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_ordinal2(A,B) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & r1_tarski(k10_xtuple_0(C),A) & v2_ordinal2(C) & A = k4_ordinal2(C) ) ) ) ) )).
fof(d17_ordinal6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => k13_ordinal6(A,B) = k1_funct_1(k1_funct_1(k11_ordinal6(k1_classes1(k2_xboole_0(B,k4_ordinal1))),A),B) ) ) )).
fof(d17_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v2_msualg_4(C,A,k8_osafree(A,B)) & v3_msualg_4(C,A,k8_osafree(A,B)) & v3_osalg_4(C,A,k8_osafree(A,B)) & m1_osalg_4(C,A,k8_osafree(A,B)) ) => ( C = k15_osafree(A,B) <=> ! [D] : ( ( v2_msualg_4(D,A,k8_osafree(A,B)) & v3_msualg_4(D,A,k8_osafree(A,B)) & v3_osalg_4(D,A,k8_osafree(A,B)) & m1_osalg_4(D,A,k8_osafree(A,B)) ) => r2_pboole(u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(d17_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v12_osalg_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,C,D) => r1_tarski(k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D)) ) ) ) ) ) ) )).
fof(d17_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => k16_osalg_2(A,B) = g3_lattices(k13_osalg_2(A,B),k14_osalg_2(A,B),k15_osalg_2(A,B)) ) ) )).
fof(d17_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k7_pboole(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k1_funct_2(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d17_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r6_pdiff_1(A,B,C,D,E,F) <=> r1_fdiff_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,C,F),k1_partfun1(k1_euclid(A),k1_euclid(B),k1_euclid(B),k1_numbers,E,k1_pdiff_1(D,B))),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(C,A),F)) ) ) ) ) ) ) ) )).
fof(d17_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r8_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k8_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,E) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,k1_pdiff_3(3,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(3,3,A),B),J),k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(3,3,A),B),E)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,E)),k1_funct_1(I,k6_xcmplx_0(J,E))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d17_pencil_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v14_pencil_1(A) <=> ! [B] : ( l1_struct_0(B) => ~ ( r2_tarski(B,k10_xtuple_0(A)) & v7_struct_0(B) ) ) ) ) )).
fof(d17_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_polyform(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1)))) => ( D = k17_polyform(A,B,C) <=> ( ( v1_xboole_0(k5_polyform(A,k6_xcmplx_0(B,1))) => D = k4_struct_0(k14_polyform(A,k6_xcmplx_0(B,1))) ) & ( ~ v1_xboole_0(k5_polyform(A,k6_xcmplx_0(B,1))) => ! [E] : ( m1_subset_1(E,k5_polyform(A,k6_xcmplx_0(B,1))) => ( r2_tarski(E,D) <=> k4_rlvect_1(k2_bspace,k16_polyform(A,B,E,C)) = k5_struct_0(k2_bspace) ) ) ) ) ) ) ) ) ) )).
fof(d17_pralg_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k15_pralg_1(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_tarski(D,k9_xtuple_0(A)) => k1_funct_1(C,D) = k1_funct_1(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d17_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( m2_finseq_1(C,k4_finseq_2(2,k15_pre_poly(A))) => ( C = k21_pre_poly(A,B) <=> ( k4_finseq_1(C) = k4_finseq_1(k20_pre_poly(A,B)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( ( r2_tarski(D,k4_finseq_1(C)) & r6_pboole(A,E,k7_partfun1(k15_pre_poly(A),k20_pre_poly(A,B),D)) ) => k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),C,D) = k10_finseq_1(E,k12_pre_poly(A,B,E)) ) ) ) ) ) ) ) ) )).
fof(d17_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_prelamb(A,B,C) <=> r2_tarski(k6_prelamb(A,B,C),u4_prelamb(A)) ) ) ) ) )).
fof(d17_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k16_pscomp_1(A) = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k13_pscomp_1(A),k12_pscomp_1(A)),A) ) )).
fof(d17_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k15_qc_lang1(A,B,C) = k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(3,k5_numbers)),k12_finseq_1(k3_qc_lang1(A),B)),k11_qc_lang1(A,C)) ) ) ) )).
fof(d17_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k13_qc_lang2(A,B) = k12_qc_lang2(A,k19_qc_lang1(A,B)) ) ) )).
fof(d17_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v17_quantal1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_quantal1(A,k1_quantal1(A,C,B),B) = C & k1_quantal1(A,k2_quantal1(A,C,B),B) = C ) ) ) ) ) )).
fof(d17_quaterni,axiom,( k17_quaterni = 1 )).
fof(d17_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k20_quofield(A,B,C) = k8_group_1(A,B,k9_algstr_0(A,C)) ) ) ) )).
fof(d17_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ! [C] : ( m1_ratfunc1(C,A) => ( ( ~ v4_ratfunc1(B,A) => ( C = k11_ratfunc1(A,B) <=> ? [D] : ( m1_ratfunc1(D,A) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & ~ v1_ratfunc1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & B = k3_ratfunc1(A,k12_polynom3(A,E,k4_ratfunc1(A,D)),k12_polynom3(A,E,k5_ratfunc1(A,D))) & v5_ratfunc1(D,A) & C = k6_ratfunc1(A,D) & ? [F] : ( m2_finseq_1(F,u1_struct_0(k13_polynom3(A))) & E = k3_group_4(k13_polynom3(A),F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( r2_tarski(G,k4_finseq_1(F)) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),H) & k1_funct_1(F,G) = k3_hurwitz(A,H,1) ) ) ) ) ) ) ) ) ) & ( v4_ratfunc1(B,A) => ( C = k11_ratfunc1(A,B) <=> C = k7_ratfunc1(A) ) ) ) ) ) ) )).
fof(d17_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : k10_relat_1(A,B) = k8_relat_1(A,k1_tarski(B)) ) )).
fof(d17_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r10_rewrite1(A,B) <=> ! [C] : ! [D] : ! [E] : ~ ( r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(C,E),B) & ! [F] : ~ ( r1_rewrite1(B,D,F) & r1_rewrite1(A,E,F) ) ) ) ) ) )).
fof(d17_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k13_polynom3(A)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)),k4_ordinal1))) ) => ( B = k9_ring_2(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_funct_1(B,C) = k8_ring_2(A,C) ) ) ) ) )).
fof(d17_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v5_ringcat1(B) ) => ( B = k10_ringcat1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( m2_ringcat1(D,A) & ? [E] : ( m2_ringcat1(E,A) & r1_ringcat1(D,E) & m1_ringcat1(C,D,E) ) ) ) ) ) ) )).
fof(d17_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_rltopsp1(A,B,C,D,E) <=> ? [F] : ( v10_rltopsp1(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(B,F) & r2_tarski(C,F) & r2_tarski(D,F) & r2_tarski(E,F) ) ) ) ) ) ) ) )).
fof(d17_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k11_rlvect_2(A),k11_rlvect_2(A)),k11_rlvect_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_rlvect_2(A),k11_rlvect_2(A)),k11_rlvect_2(A)))) ) => ( B = k14_rlvect_2(A) <=> ! [C] : ( m1_subset_1(C,k11_rlvect_2(A)) => ! [D] : ( m1_subset_1(D,k11_rlvect_2(A)) => k4_binop_1(k11_rlvect_2(A),B,C,D) = k7_rlvect_2(A,k12_rlvect_2(A,C),k12_rlvect_2(A,D)) ) ) ) ) ) )).
fof(d17_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k12_robbins1(A,B) = k1_lattices(A,B,B) ) ) )).
fof(d17_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( r1_rvsum_1(A,B) <=> k22_rvsum_1(A,B) = k5_numbers ) ) ) )).
fof(d17_scmfsa_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_scmfsa_i,k1_funct_2(k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_scmfsa_i,k1_funct_2(k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)))))) ) => ( A = k12_scmfsa_1 <=> ! [B] : ( m1_subset_1(B,k2_scmfsa_i) => ! [C] : ( m1_subset_1(C,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => k1_funct_1(k3_funct_2(k2_scmfsa_i,k1_funct_2(k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))),A,B),C) = k11_scmfsa_1(B,C) ) ) ) ) )).
fof(d17_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_scmfsa_2(C) => k15_scmfsa_2(A,B,C) = k3_xtuple_0(10,k1_xboole_0,k11_finseq_1(A,C,B)) ) ) ) )).
fof(d17_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k16_scmpds_2(A,B,C,D) = k3_xtuple_0(13,k1_xboole_0,k7_finseq_4(A,B,C,D)) ) ) ) ) )).
fof(d17_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ! [D] : ( v1_xreal_0(D) => ( D = k22_seq_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_numbers)) => ( E = a_3_1_seq_4(A,B,C) => D = k3_seq_4(E) ) ) ) ) ) ) ) )).
fof(d17_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ! [C] : ( v2_int_1(C) => k8_simplex0(A,B,C) = k5_simplex0(u1_struct_0(B),k3_simplex0(u1_struct_0(B),u1_pre_topc(B),k5_card_1(k1_xxreal_3(C,1)))) ) ) )).
fof(d17_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => k17_sin_cos(A) = k1_funct_1(k16_sin_cos,A) ) )).
fof(d17_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) => ( C = k11_stacks_1(A,B) <=> ( r2_tarski(B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( r2_tarski(E,C) => ( r2_tarski(k7_stacks_1(A,E,D),C) & ( ~ r1_stacks_1(A,E) => r2_tarski(k5_stacks_1(A,E),C) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(A))) => ( ( r2_tarski(B,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( r2_tarski(F,D) => ( r2_tarski(k7_stacks_1(A,F,E),D) & ( ~ r1_stacks_1(A,F) => r2_tarski(k5_stacks_1(A,F),D) ) ) ) ) ) ) => r1_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d17_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => k8_struct_0(A) = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_tarski(k4_struct_0(A))) ) )).
fof(d17_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( B = k16_substut1(A) <=> ( v1_substut1(B,A) & ! [C] : ( ~ v1_xboole_0(C) => ( v1_substut1(C,A) => r1_tarski(B,C) ) ) ) ) ) ) )).
fof(d17_tex_4,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_pre_topc(C) & m1_pre_topc(C,A) ) => ( C = k5_tex_4(A,B) <=> u1_struct_0(C) = k2_tex_4(A,B) ) ) ) ) )).
fof(d17_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => k13_trees_3(A,B) = k11_trees_3(k10_finseq_1(A,B)) ) ) )).
fof(d17_turing_1,axiom,( ! [A] : ( ( v1_turing_1(A) & l1_turing_1(A) ) => ( A = k15_turing_1 <=> ( u1_turing_1(A) = k7_domain_1(k4_ordinal1,k5_numbers,1) & u2_turing_1(A) = k3_turing_1(4) & r1_funct_2(k2_zfmisc_1(u2_turing_1(A),u1_turing_1(A)),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),u3_turing_1(A),k14_turing_1) & u4_turing_1(A) = k5_numbers & u5_turing_1(A) = 4 ) ) ) )).
fof(d17_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k18_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k8_margrel1(k1_binarith(k1_binarith(B,C),D)) ) ) ) ) ) )).
fof(d17_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => k12_unialg_2(A) = g3_lattices(k9_unialg_2(A),k10_unialg_2(A),k11_unialg_2(A)) ) )).
fof(d17_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( m1_valued_0(B,A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & v5_valued_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & B = k3_relat_1(C,A) ) ) ) ) )).
fof(d17_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) => k62_valued_1(A) = k1_xxreal_2(k1_relset_1(k4_ordinal1,A)) ) )).
fof(d17_valued_2,axiom,( ! [A] : ! [B] : ( B = k11_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) ) )).
fof(d17_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v12_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k1_algstr_0(A,B,B) = k4_struct_0(A) => B = k4_struct_0(A) ) ) ) ) )).
fof(d17_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_waybel34(C,A,B) <=> k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_yellow_0(A)) = k3_yellow_0(B) ) ) ) ) )).
fof(d17_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_waybel_0(A,B) = k3_waybel_0(A,k6_domain_1(u1_struct_0(A),B)) ) ) )).
fof(d17_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k3_waybel_1(A,B,C) = k3_struct_0(k1_yellow_2(A,B,C)) ) ) ) )).
fof(d17_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v6_waybel_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => C = k1_yellow_0(A,k5_waybel_4(A,C,B)) ) ) ) ) )).
fof(d17_xtuple_0,axiom,( ! [A] : k14_xtuple_0(A) = k10_xtuple_0(k11_xtuple_0(A)) )).
fof(d17_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v6_yellow_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,u1_struct_0(B)) & r2_tarski(D,u1_struct_0(B)) & r1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)) ) => r2_tarski(k1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(d17_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v3_yellow_6(B,A) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k10_yellow_6(A,B) <=> r2_tarski(C,k9_yellow_6(A,B)) ) ) ) ) )).
fof(d17_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k10_zf_lang(A,B) = k5_zf_lang(k6_zf_lang(A,k5_zf_lang(B))) ) ) )).
fof(d17_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( r1_zmodul01(A,B,C) <=> ( g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) = k6_zmodul01(A,B,C) & k7_zmodul01(A,B,C) = k3_zmodul01(A) ) ) ) ) ) )).
fof(d17_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_int_3) & v9_vectsp_1(A,k1_int_3) & v10_vectsp_1(A,k1_int_3) & v11_vectsp_1(A,k1_int_3) & l1_vectsp_1(A,k1_int_3) ) => k17_zmodul02(A) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k16_zmodul02(A)) ) )).
fof(d18_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_abcmiz_0(A))) => k6_abcmiz_0(A,B,C) = k1_yellow_0(A,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k4_abcmiz_0(A,C),k5_waybel_0(A,B))) ) ) ) )).
fof(d18_abcmiz_1,axiom,( k17_abcmiz_1 = k2_zfmisc_1(k1_tarski(k6_abcmiz_1),k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) )).
fof(d18_abcmiz_a,axiom,( ! [A] : ( m2_finseq_1(A,k2_abcmiz_1) => ! [B] : ( m1_trees_4(B,k3_card_3(u3_msualg_1(k27_abcmiz_1,k1_msafree3(k27_abcmiz_1,k28_abcmiz_1(k27_abcmiz_1)))),k34_abcmiz_1(k27_abcmiz_1)) => ( B = k17_abcmiz_a(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k1_funct_1(B,C) = k35_abcmiz_1(k7_partfun1(k2_abcmiz_1,A,C),k27_abcmiz_1) ) ) ) ) ) ) )).
fof(d18_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v8_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_absred_0(B,A) & r7_absred_0(A,B,C) ) => r3_absred_0(A,C,B) ) ) ) ) ) )).
fof(d18_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) = k4_binop_1(u1_struct_0(A),u2_algstr_0(A),B,C) ) ) ) )).
fof(d18_algstr_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k14_algstr_4(A))) => ( ( ~ v1_xboole_0(A) => k15_algstr_4(A,B) = k2_xfamily(B) ) & ( v1_xboole_0(A) => k15_algstr_4(A,B) = k5_numbers ) ) ) )).
fof(d18_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => ( v13_altcat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_altcat_1(A,B,C) != k1_xboole_0 => B = C ) ) ) ) ) )).
fof(d18_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & v5_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k14_aofa_000(A,B,C,D) = k1_funct_1(k2_pua2mss1(A,k10_subset_1(3,k4_finseq_1(u1_unialg_1(A)))),k3_finseq_4(u1_struct_0(A),B,C,D)) ) ) ) ) )).
fof(d18_aofa_a01,axiom,( k12_aofa_a01 = k1_lfuzzy_0(k4_numbers) )).
fof(d18_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) => ( C = k22_aofa_i00(A,B) <=> ! [D] : ( m2_funct_2(D,A,k4_numbers,k9_funct_2(A,k4_numbers)) => k3_funct_2(k9_funct_2(A,k4_numbers),k4_numbers,C,D) = k21_aofa_i00(A,k4_numbers,D,B) ) ) ) ) ) )).
fof(d18_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v8_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) & r3_armstrng(A,k6_armstrng(A,D,E),k6_armstrng(A,C,C)) & r2_tarski(k6_armstrng(A,D,E),B) ) ) ) ) ) )).
fof(d18_asympt_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_funct_2(B,A,k1_numbers) => ! [C] : ( m1_funct_2(C,A,k1_numbers) => k13_asympt_0(A,B,C) = a_3_0_asympt_0(A,B,C) ) ) ) )).
fof(d18_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m2_bcialg_1(B,A) <=> ( r2_tarski(k4_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(k1_bcialg_1(A,C,D),B) & r2_tarski(D,B) ) => r2_tarski(C,B) ) ) ) ) ) ) ) )).
fof(d18_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_2(B,A) => k8_bcialg_2(A,B) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),B,k4_struct_0(A)) ) ) )).
fof(d18_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( ~ v2_struct_0(E) & v7_vectsp_1(E,A) & m1_vectsp_4(E,A,B) ) => ( E = k13_bilinear(A,B,C,D) <=> u1_struct_0(E) = k10_bilinear(A,B,C,D) ) ) ) ) ) ) )).
fof(d18_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r4_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(A,A,A,B,D,k2_binop_1(A,A,A,C,E,F)) = k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,E),k2_binop_1(A,A,A,B,D,F)) ) ) ) ) ) ) ) )).
fof(d18_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ( r2_borsuk_1(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,k17_borsuk_1)),u1_struct_0(A)) & v5_pre_topc(C,k2_borsuk_1(A,k17_borsuk_1),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k17_borsuk_1)),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(k2_borsuk_1(A,k17_borsuk_1)),u1_struct_0(A),C,k4_borsuk_1(A,k17_borsuk_1,D,k18_borsuk_1)) = D & r2_tarski(k3_funct_2(u1_struct_0(k2_borsuk_1(A,k17_borsuk_1)),u1_struct_0(A),C,k4_borsuk_1(A,k17_borsuk_1,D,k19_borsuk_1)),u1_struct_0(B)) & ( r2_tarski(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k17_borsuk_1)) => k3_funct_2(u1_struct_0(k2_borsuk_1(A,k17_borsuk_1)),u1_struct_0(A),C,k4_borsuk_1(A,k17_borsuk_1,D,E)) = D ) ) ) ) ) ) ) ) )).
fof(d18_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k18_bvfunc_1(A,B) = k6_subset_1(k2_tarski(a_2_0_bvfunc_1(A,B),a_2_1_bvfunc_1(A,B)),k1_tarski(k1_xboole_0)) ) ) )).
fof(d18_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k11_c0sp1(A) = g1_lopban_2(k6_c0sp1(A),k2_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k1_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k5_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k4_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k3_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),k10_c0sp1(A)) ) )).
fof(d18_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)))) ) => ( r4_card_fil(A,B) <=> ( ! [C] : ( m1_subset_1(C,k6_card_fil(A)) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( D != E => v1_xboole_0(k9_subset_1(A,k2_binop_1(k6_card_fil(A),A,k9_setfam_1(A),B,C,D),k2_binop_1(k6_card_fil(A),A,k9_setfam_1(A),B,C,E))) ) ) ) ) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k6_card_fil(A)) => ! [E] : ( m1_subset_1(E,k6_card_fil(A)) => ( D != E => v1_xboole_0(k9_subset_1(A,k2_binop_1(k6_card_fil(A),A,k9_setfam_1(A),B,D,C),k2_binop_1(k6_card_fil(A),A,k9_setfam_1(A),B,E,C))) ) ) ) ) & ! [C] : ( m1_subset_1(C,k6_card_fil(A)) => r1_ordinal1(k1_card_1(k6_subset_1(A,k3_tarski(a_3_2_card_fil(A,B,C)))),k6_card_fil(A)) ) & ! [C] : ( m1_subset_1(C,A) => r1_ordinal1(k1_card_1(k6_subset_1(A,k3_tarski(a_3_3_card_fil(A,B,C)))),k6_card_fil(A)) ) ) ) ) ) )).
fof(d18_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v10_cat_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,C,B) != k1_xboole_0 & ? [D] : ( m1_cat_1(D,A,C,B) & ! [E] : ( m1_cat_1(E,A,C,B) => D = E ) ) ) ) ) ) ) )).
fof(d18_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( r4_cat_3(A,B,C,D) <=> ( k4_graph_1(A,C) = B & k4_graph_1(A,D) = B & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ~ ( r2_tarski(F,k2_cat_1(A,k3_graph_1(A,C),E)) & r2_tarski(G,k2_cat_1(A,k3_graph_1(A,D),E)) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ~ ( r2_tarski(H,k2_cat_1(A,B,E)) & ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ( r2_tarski(I,k2_cat_1(A,B,E)) => ( ( k1_cat_1(A,C,I) = F & k1_cat_1(A,D,I) = G ) <=> H = I ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d18_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k17_cat_4(A,B,C,D) = k9_cat_4(A,k2_cat_4(A,B,C),D,k2_cat_4(A,B,k2_cat_4(A,C,D)),k9_cat_4(A,B,C,k2_cat_4(A,B,k2_cat_4(A,C,D)),k7_cat_4(A,B,k2_cat_4(A,C,D)),k5_cat_1(A,k2_cat_4(A,B,k2_cat_4(A,C,D)),k2_cat_4(A,C,D),C,k8_cat_4(A,B,k2_cat_4(A,C,D)),k7_cat_4(A,C,D))),k5_cat_1(A,k2_cat_4(A,B,k2_cat_4(A,C,D)),k2_cat_4(A,C,D),D,k8_cat_4(A,B,k2_cat_4(A,C,D)),k8_cat_4(A,C,D))) ) ) ) ) )).
fof(d18_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ( ( ~ v2_struct_0(A) => ( C = k7_cat_6(A,B) <=> ? [D] : ( m1_subset_1(D,k1_cat_6(A)) & C = D & r1_cat_6(A,B,D) & v11_cat_6(D,A) ) ) ) & ( v2_struct_0(A) => ( C = k7_cat_6(A,B) <=> C = o_1_1_cat_6(A) ) ) ) ) ) ) )).
fof(d18_coh_sp,axiom,( ! [A] : k16_coh_sp(A) = a_1_4_coh_sp(A) )).
fof(d18_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ! [C] : ( C = k9_cohsp_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,B) & v9_cohsp_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & D = k8_cohsp_1(A,B,E) ) ) ) ) ) )).
fof(d18_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => k11_comput_1(A) = k2_xboole_0(A,a_1_3_comput_1(A)) ) )).
fof(d18_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)))) ) => ( B = k9_conlat_1(A) <=> ! [C] : ( ( v3_conlat_1(C,A) & ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) => ! [D] : ( ( v3_conlat_1(D,A) & ~ v4_conlat_1(D,A) & v6_conlat_1(D,A) & l2_conlat_1(D,A) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u4_struct_0(A))) & k1_binop_1(B,C,D) = g2_conlat_1(A,E,F) & E = k9_subset_1(u1_struct_0(A),u2_conlat_1(A,C),u2_conlat_1(A,D)) & F = k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k4_subset_1(u4_struct_0(A),u3_conlat_1(A,C),u3_conlat_1(A,D)))) ) ) ) ) ) ) ) )).
fof(d18_csspace,axiom,( k16_csspace = g1_csspace(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace),k15_csspace) )).
fof(d18_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k13_decomp_1(A) = a_1_7_decomp_1(A) ) )).
fof(d18_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k16_e_siec(A) = k2_xboole_0(k2_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))),k4_relat_1(k4_xboole_0(u1_struct_0(A),k10_xtuple_0(u1_e_siec(A))))) ) )).
fof(d18_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k16_ens_1(A) = a_1_3_ens_1(A) ) )).
fof(d18_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k15_facirc_1(A,B,C) = k2_circcomb(k14_facirc_1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)))) )).
fof(d18_finseq_1,axiom,( ! [A] : ( v3_finseq_1(A) <=> ! [B] : ( r2_hidden(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) )).
fof(d18_fomodel0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k16_fomodel0 <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k2_xcmplx_0(B,1) ) ) ) )).
fof(d18_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v8_fomodel1(B,A) <=> r2_tarski(B,k5_fomodel1(A)) ) ) ) )).
fof(d18_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [E] : ( m2_subset_1(E,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( ( ? [F] : ( m2_subset_1(F,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) & ? [G] : ( m2_subset_1(G,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) & r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),D,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),C)) & k1_binop_1(C,D,F) = k6_margrel1 & k1_binop_1(C,D,G) = k6_margrel1 & E = k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),F),G) ) ) => k19_fomodel2(A,B,C,D,E) = k7_margrel1 ) & ( ! [F] : ( m2_subset_1(F,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ! [G] : ( m2_subset_1(G,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),D,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),C)) & k1_binop_1(C,D,F) = k6_margrel1 & k1_binop_1(C,D,G) = k6_margrel1 & E = k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),F),G) ) ) ) => k19_fomodel2(A,B,C,D,E) = k6_margrel1 ) ) ) ) ) ) ) )).
fof(d18_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k22_fomodel3(A,B,C,D) <=> ( k9_xtuple_0(E) = k37_fomodel1(A) & ! [F] : ( ( v9_fomodel1(F,A) & m1_subset_1(F,k1_fomodel1(A)) ) => k1_funct_1(E,F) = k20_fomodel3(A,B,F,C,k4_fomodel2(A,B,D,F)) ) ) ) ) ) ) ) ) )).
fof(d18_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( v11_fomodel4(C,A,B) <=> ! [D] : ( v9_fomodel4(D,A,B,C) => r2_tarski(D,C) ) ) ) ) )).
fof(d18_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( v1_freealg(B) => k15_freealg(A,B) = g1_unialg_1(k4_dtconstr(k3_freealg(A,B)),k14_freealg(A,B)) ) ) )).
fof(d18_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( ( v2_fsm_1(D,A,B) & l2_fsm_1(D,A,B) ) => ( D = k11_fsm_1(A,B,C) <=> ( u1_struct_0(D) = k8_fsm_1(A,B,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_tarski(G,E) => ( r2_tarski(k2_binop_1(u1_struct_0(C),A,u1_struct_0(C),u1_fsm_1(A,C),G,F),k1_binop_1(u1_fsm_1(A,D),E,F)) & k2_binop_1(u1_struct_0(C),A,B,u3_fsm_1(A,B,C),G,F) = k1_binop_1(u3_fsm_1(A,B,D),E,F) ) ) ) ) ) & r2_tarski(u2_fsm_1(A,C),u2_fsm_1(A,D)) ) ) ) ) ) ) )).
fof(d18_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k18_ftacell1(A,B,C,D,E) = k24_gfacirc1(k36_gfacirc1(A,B,C),E,D) )).
fof(d18_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( ( v10_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v8_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d18_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & k18_gate_1(A,B,C,D,E) != k1_gate_1(k1_xboole_0) ) & ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) ) => k18_gate_1(A,B,C,D,E) = k1_xboole_0 ) ) )).
fof(d18_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ! [B] : ( ( v1_xcmplx_0(B) & v1_gaussint(B) ) => ( r1_gaussint(A,B) <=> ? [C] : ( v1_xcmplx_0(C) & v1_gaussint(C) & B = k3_xcmplx_0(A,C) ) ) ) ) )).
fof(d18_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( ( C = k4_struct_0(A) | E = k4_struct_0(A) ) => k8_gcd_1(A,B,C,D,E,F) = k4_struct_0(A) ) & ( ( D = k5_struct_0(A) & F = k5_struct_0(A) ) => k8_gcd_1(A,B,C,D,E,F) = k8_group_1(A,C,E) ) & ( D = k5_struct_0(A) => ( F = k4_struct_0(A) | k8_gcd_1(A,B,C,D,E,F) = k1_gcd_1(A,k8_group_1(A,C,E),k5_gcd_1(A,B,C,F)) ) ) & ( F = k5_struct_0(A) => ( D = k4_struct_0(A) | k8_gcd_1(A,B,C,D,E,F) = k1_gcd_1(A,k8_group_1(A,C,E),k5_gcd_1(A,B,E,D)) ) ) & ~ ( C != k4_struct_0(A) & E != k4_struct_0(A) & ~ ( D = k5_struct_0(A) & F = k5_struct_0(A) ) & ~ ( F != k4_struct_0(A) & D = k5_struct_0(A) ) & ~ ( D != k4_struct_0(A) & F = k5_struct_0(A) ) & k8_gcd_1(A,B,C,D,E,F) != k8_group_1(A,k1_gcd_1(A,C,k5_gcd_1(A,B,C,F)),k1_gcd_1(A,E,k5_gcd_1(A,B,E,D))) ) ) ) ) ) ) ) ) )).
fof(d18_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k18_gfacirc1(A,B,C) = k3_circcomb(k2_circcomb(k5_circcomb(k3_gfacirc1,k10_finseq_1(A,B)),k5_circcomb(k2_twoscomp,k10_finseq_1(B,C))),k5_circcomb(k3_facirc_1,k10_finseq_1(C,A)),k3_circcomb(k5_circcomb(k3_gfacirc1,k10_finseq_1(A,B)),k5_circcomb(k2_twoscomp,k10_finseq_1(B,C)),k6_facirc_1(A,B,k3_gfacirc1),k6_facirc_1(B,C,k2_twoscomp)),k6_facirc_1(C,A,k3_facirc_1)) )).
fof(d18_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v3_glib_000(A) <=> ! [B] : ~ ( r2_hidden(B,k7_glib_000(A)) & k1_funct_1(k10_glib_000(A),B) = k1_funct_1(k11_glib_000(A),B) ) ) ) )).
fof(d18_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k15_glib_001(A,B) = k3_finseq_1(k12_glib_001(A,B)) ) ) )).
fof(d18_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k8_glib_003(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(k12_glib_001(A,B)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => k1_funct_1(C,D) = k1_funct_1(k5_glib_003(A),k1_funct_1(k12_glib_001(A,B),D)) ) ) ) ) ) ) ) )).
fof(d18_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => k17_glib_004(A) = k40_glib_000(k16_glib_004(A)) ) )).
fof(d18_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ( ( r2_tarski(C,k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,D))) => k11_glib_005(A,B,C,D) = k10_glib_005(A,B,k7_glib_005(A,B,D,C)) ) & ( ~ r2_tarski(C,k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,D))) => k11_glib_005(A,B,C,D) = B ) ) ) ) ) ) )).
fof(d18_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( m3_graph_1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & r1_tarski(u4_struct_0(B),u4_struct_0(A)) & ! [C] : ( r2_tarski(C,u4_struct_0(B)) => ( k1_funct_1(u1_graph_1(B),C) = k1_funct_1(u1_graph_1(A),C) & k1_funct_1(u2_graph_1(B),C) = k1_funct_1(u2_graph_1(A),C) & r2_tarski(k1_funct_1(u1_graph_1(A),C),u1_struct_0(B)) & r2_tarski(k1_funct_1(u2_graph_1(A),C),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(d18_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v7_graph_1(D,A) & m2_graph_1(D,A) ) => ! [E] : ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r8_graph_5(A,B,C,D,E,F) <=> ( r2_graph_5(A,B,C,D,E) & ! [G] : ( ( v7_graph_1(G,A) & m2_graph_1(G,A) ) => ( r2_graph_5(A,B,C,G,E) => r1_xxreal_0(k10_graph_5(A,D,F),k10_graph_5(A,G,F)) ) ) ) ) ) ) ) ) ) )).
fof(d18_graphsp,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r4_graphsp(A,B,C,D) <=> ( k1_funct_1(A,1) = 1 & ~ r1_xxreal_0(k3_finseq_1(A),1) & r3_graphsp(A,B,C,D) & v2_funct_1(A) ) ) ) ) ) ) )).
fof(d18_grcat_1,axiom,( ! [A] : ( v4_grcat_1(A) <=> ! [B] : ( r2_hidden(B,A) => ( v1_grcat_1(B) & v2_grcat_1(B) & l1_grcat_1(B) ) ) ) )).
fof(d18_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => ( r3_group_10(A,B,C) <=> ( v2_group_10(C,A) & ~ r1_nat_d(A,k18_group_2(B,C)) ) ) ) ) ) )).
fof(d18_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( v1_finset_1(k15_group_2(A,B)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k18_group_2(A,B) <=> ? [D] : ( v1_finset_1(D) & D = k15_group_2(A,B) & C = k4_card_1(D) ) ) ) ) ) ) )).
fof(d18_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v7_group_9(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k3_funct_2(u1_struct_0(B),u1_struct_0(B),k3_group_9(A,B,E),F)) = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k3_group_9(A,C,E),k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F)) ) ) ) ) ) ) )).
fof(d18_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r7_gtarski1(A,B,C,D) <=> ( B != C & ~ ( ~ r1_gtarski1(A,B,C,D) & ~ r1_gtarski1(A,C,D,B) & ~ r1_gtarski1(A,D,B,C) ) ) ) ) ) ) ) )).
fof(d18_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k10_hahnban1(A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) => ( C = k11_hahnban1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k3_complex1(k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),B,D)) ) ) ) ) ) )).
fof(d18_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,k4_ordinal1,B,6) & m2_finseq_1(D,k3_finseq_2(k4_ordinal1)) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( E = k18_idea_1(A,B,C,D) <=> ( k3_finseq_1(E) = A & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k16_idea_1(C,k7_matrix_0(k4_ordinal1,D,k1_nat_1(k7_nat_d(A,F),1))) ) ) ) ) ) ) ) ) ) )).
fof(d18_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_ideal_1(A,B,C) = a_3_1_ideal_1(A,B,C) ) ) ) )).
fof(d18_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m5_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [D] : ( m5_index_1(D,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B),k7_isocat_1(B)) => k16_index_1(A,B,C,D) = k14_index_1(A,k10_index_1(A,C),B,k9_index_1(A,C,k10_index_1(A,C)),D) ) ) ) ) )).
fof(d18_integr15,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(C)))) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(C)) => ( E = k12_integr15(A,B,C,D) <=> ( k4_finseq_1(E) = k2_finseq_1(C) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k2_finseq_1(C)) => k1_funct_1(E,F) = k4_integra5(A,B,k1_partfun1(k1_numbers,k1_euclid(C),k1_euclid(C),k1_numbers,D,k1_pdiff_1(F,C))) ) ) ) ) ) ) ) ) ) )).
fof(d18_integra1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_integra1(A,B) <=> ( r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(B)) & r1_tarski(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) ) ) )).
fof(d18_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_interva1(B,A) => ! [C] : ( m2_interva1(C,A) => k16_interva1(A,B,C) = k4_tarski(k4_subset_1(u1_struct_0(A),k14_interva1(A,B),k14_interva1(A,C)),k4_subset_1(u1_struct_0(A),k15_interva1(A,B),k15_interva1(A,C))) ) ) ) )).
fof(d18_intpro_1,axiom,( k10_intpro_1 = k3_intpro_1(k2_intpro_1,k2_intpro_1) )).
fof(d18_lattad_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) ) => ( A = k12_lattad_1 <=> ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ! [C] : ( m1_subset_1(C,k1_enumset1(1,2,3)) => k4_binop_1(k1_enumset1(1,2,3),A,B,C) = k9_lattad_1(B,C) ) ) ) ) )).
fof(d18_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v4_lattice3(A) <=> ! [B] : ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r4_lattice3(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r4_lattice3(A,D,B) => r1_lattices(A,C,D) ) ) ) ) ) )).
fof(d18_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => k14_lattice5(A,B,C,D) = k12_lattice5(A,B,C,D,k7_lattice5(A,B,C)) ) ) ) ) )).
fof(d18_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_lattices(A,B,C) <=> ( k1_lattices(A,B,C) = k6_lattices(A) & k1_lattices(A,C,B) = k6_lattices(A) & k2_lattices(A,B,C) = k5_lattices(A) & k2_lattices(A,C,B) = k5_lattices(A) ) ) ) ) ) )).
fof(d18_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => k13_lmod_7(A,B,C) = g2_algstr_0(k7_lmod_7(A,B,C),k12_lmod_7(A,B,C),k8_lmod_7(A,B,C,k4_struct_0(B))) ) ) ) )).
fof(d18_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)))) ) => ( D = k21_lpspacc1(A,B,C) <=> ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k13_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r2_tarski(G,F) => k1_binop_1(D,E,F) = k17_lpspacc1(A,B,C,k25_valued_1(A,k2_numbers,G,E)) ) ) ) ) ) ) ) ) ) )).
fof(d18_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v1_rlvect_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & l1_rlvect_1(D) ) => ( D = k18_lpspace1(A,B,C) <=> ( u1_struct_0(D) = k14_lpspace1(A,B,C) & r1_funct_2(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(D)),u1_struct_0(D),k2_zfmisc_1(k14_lpspace1(A,B,C),k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C),u1_algstr_0(D),k15_lpspace1(A,B,C)) & k4_struct_0(D) = k16_lpspace1(A,B,C) & r1_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(D)),u1_struct_0(D),k2_zfmisc_1(k1_numbers,k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C),u1_rlvect_1(D),k17_lpspace1(A,B,C)) ) ) ) ) ) ) )).
fof(d18_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ( A = k13_ltlaxio1 <=> ( v2_ltlaxio1(A) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( v2_ltlaxio1(B) => r1_tarski(A,B) ) ) ) ) ) )).
fof(d18_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_margrel1(C) ) => ( C = k13_margrel1(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k4_xboolean(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d18_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k21_member_1(A,B) = k11_member_1(A,k1_tarski(B)) ) ) )).
fof(d18_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_card_3(k2_memstr_0(A,B)),k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(A,B)),k4_ordinal1))) ) => ( v7_memstr_0(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_partfun1(E,u1_struct_0(B)) ) => ( k6_memstr_0(A,B,D) = k6_memstr_0(A,B,E) => k1_funct_1(C,D) = k1_funct_1(C,E) ) ) ) ) ) ) ) )).
fof(d18_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => k8_mesfunc5(A,B,C,D,E) = k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,E)) ) ) ) ) ) )).
fof(d18_metric_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers))) ) => ( A = k18_metric_3 <=> ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ! [E] : ( m1_subset_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(k1_numbers,k1_numbers)) => ( ( F = k1_domain_1(k1_numbers,k1_numbers,B,D) & G = k1_domain_1(k1_numbers,k1_numbers,C,E) ) => k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,A,F,G) = k3_square_1(k2_xcmplx_0(k1_square_1(k4_binop_1(k1_numbers,k6_metric_1,B,C)),k1_square_1(k4_binop_1(k1_numbers,k6_metric_1,D,E)))) ) ) ) ) ) ) ) ) ) )).
fof(d18_mod_2,axiom,( k16_mod_2 = 1 )).
fof(d18_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => ( v3_modal_1(A) <=> ? [B] : ( m1_subset_1(B,k6_modal_1) & A = k11_modal_1(B) ) ) ) )).
fof(d18_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v3_modelc_2(A) | v6_modelc_2(A) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v3_modelc_2(A) => ( B = k10_modelc_2(A) <=> k3_modelc_2(B) = A ) ) & ( ~ v3_modelc_2(A) => ( B = k10_modelc_2(A) <=> k6_modelc_2(B) = A ) ) ) ) ) ) )).
fof(d18_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => k12_modelc_3(A,B) = g1_modelc_3(A,k7_modelc_3(A),u3_modelc_3(A,B),k7_modelc_3(A)) ) ) )).
fof(d18_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v15_monoid_0(A) <=> v7_monoid_0(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d18_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_pboole(C,u1_struct_0(A),k13_msafree(A,B),B) => ( C = k15_msafree(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_funct_2(k1_funct_1(k13_msafree(A,B),D),k1_funct_1(B,D),k12_msafree(A,B,D),k1_funct_1(B,D),k1_msualg_3(u1_struct_0(A),k13_msafree(A,B),B,C,D),k14_msafree(A,B,D)) ) ) ) ) ) )).
fof(d18_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( v7_ordinal1(D) => k13_msafree5(A,B,C,D) = a_4_2_msafree5(A,B,C,D) ) ) ) ) )).
fof(d18_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m1_msualg_2(D,A,B) => ! [E] : ( ( v3_msualg_1(E,A) & m1_msualg_2(E,A,B) ) => ( E = k13_msualg_2(A,B,C,D) <=> ! [F] : ( m3_pboole(F,u1_struct_0(A),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),F,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D))) => E = k12_msualg_2(A,B,F) ) ) ) ) ) ) ) ) )).
fof(d18_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( E = k17_msualg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r2_relset_1(k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),F),k2_msualg_4(A,B,E,F),k16_msualg_4(A,B,C,D,F)) ) ) ) ) ) ) ) ) )).
fof(d18_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v2_nattra_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => B = C ) ) ) ) ) )).
fof(d18_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r14_ncfcont1(A,B,C,D) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(F,C) & r2_tarski(G,C) ) => r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),D,F),k7_partfun1(u1_struct_0(B),D,G))),k3_xcmplx_0(E,k2_normsp_0(A,k5_algstr_0(A,F,G)))) ) ) ) ) ) ) ) ) ) )).
fof(d18_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_qmax_1(A) ) => ( v10_oposet_1(A) <=> v9_oposet_1(u1_robbins1(A),A) ) ) )).
fof(d18_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k16_osafree(A,B) = k16_osalg_4(A,k8_osafree(A,B),k15_osafree(A,B)) ) ) )).
fof(d18_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_pboole(C,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k3_osalg_1(A,B))),k3_relat_1(u2_msualg_1(A),k3_osalg_1(A,B))) => ! [D] : ( ( v3_msualg_1(D,A) & v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ( D = k4_osalg_1(A,B,C) <=> ( r8_pboole(u1_struct_0(A),u3_msualg_1(A,D),k3_osalg_1(A,B)) & r8_pboole(u4_struct_0(A),u4_msualg_1(A,D),C) ) ) ) ) ) ) )).
fof(d18_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_osalg_4(D,A,C) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)))) ) => ( E = k14_osalg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k3_msualg_1(A,B,C)) => ( r2_tarski(k9_osalg_4(A,B,C,D,F),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,C,D))),B)) => k1_funct_1(E,k9_osalg_4(A,B,C,D,F)) = k1_funct_1(k1_partfun1(k3_msualg_1(A,B,C),k4_msualg_1(A,B,C),k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B),k5_msualg_1(A,B,C),k10_osalg_4(A,B,C,D)),F) ) ) ) ) ) ) ) ) )).
fof(d18_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m3_pboole(C,A,B) <=> r2_pboole(A,C,B) ) ) ) )).
fof(d18_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => k13_pdiff_1(A,B,C,D,E,F) = k1_fdiff_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,C,F),k1_partfun1(k1_euclid(A),k1_euclid(B),k1_euclid(B),k1_numbers,E,k1_pdiff_1(D,B))),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(C,A),F)) ) ) ) ) ) ) )).
fof(d18_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r9_pdiff_5(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k9_pdiff_5(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k11_finseq_1(D,E,F) & ? [G] : ( m1_rcomp_1(G,F) & r1_tarski(G,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,k1_pdiff_3(3,3,A),B))) & ? [H] : ( v1_funct_1(H) & v3_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & v2_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(H,1) & ! [J] : ( v1_xreal_0(J) => ( r2_hidden(J,G) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(3,3,A),B),J),k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(3,3,A),B),F)) = k2_xcmplx_0(k1_funct_1(H,k6_xcmplx_0(J,F)),k1_funct_1(I,k6_xcmplx_0(J,F))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d18_pencil_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A) ) => ( v14_pencil_1(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => ( ~ v7_struct_0(B) & l1_struct_0(B) ) ) ) ) )).
fof(d18_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k14_polyform(A,B)),u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_polyform(A,B)),u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1)))))) ) => ( C = k18_polyform(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k14_polyform(A,B))) => k3_funct_2(u1_struct_0(k14_polyform(A,B)),u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1))),C,D) = k17_polyform(A,B,D) ) ) ) ) ) )).
fof(d18_pralg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k16_pralg_1(A,B,C) <=> ( k9_xtuple_0(D) = A & ! [E] : ( r2_tarski(E,A) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( F = k1_funct_1(B,E) => k1_funct_1(D,E) = k1_funct_1(F,k1_funct_1(C,E)) ) ) ) ) ) ) ) ) )).
fof(d18_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_prelamb(A) ) => ( v10_prelamb(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_prelamb(A,k12_finseq_1(u1_struct_0(A),B),B) ) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_prelamb(A,k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),D)),C) => r2_prelamb(A,B,k2_prelamb(A,C,D)) ) ) ) ) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),D),B),C) => r2_prelamb(A,B,k1_prelamb(A,D,C)) ) ) ) ) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_prelamb(A,B,F) & r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),E)),D),G) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,E,F))),B),D),G) ) ) ) ) ) ) ) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_prelamb(A,B,F) & r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),E)),D),G) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,B),k12_finseq_1(u1_struct_0(A),k1_prelamb(A,F,E))),D),G) ) ) ) ) ) ) ) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),D)),k12_finseq_1(u1_struct_0(A),E)),C),F) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),k3_prelamb(A,D,E))),C),F) ) ) ) ) ) ) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_prelamb(A,B,D) & r2_prelamb(A,C,E) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),B,C),k3_prelamb(A,D,E)) ) ) ) ) ) ) ) ) )).
fof(d18_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k17_pscomp_1(A) = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k10_pscomp_1(A),k13_pscomp_1(A)),A) ) )).
fof(d18_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_qc_lang1(B,A) <=> ? [C] : ( v7_ordinal1(C) & ? [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) & ? [E] : ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) & B = k10_qc_lang1(A,D,E) ) ) ) ) ) ) )).
fof(d18_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k14_qc_lang2(A,B) = k11_qc_lang2(A,k19_qc_lang1(A,B)) ) ) )).
fof(d18_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v18_quantal1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_quantal1(A,C,B) = k2_quantal1(A,C,B) ) ) ) ) )).
fof(d18_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( C = k18_quaterni(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & B = k5_quaterni(D,E,F,G) & C = k5_quaterni(k2_xcmplx_0(A,D),E,F,G) ) ) ) ) ) ) ) )).
fof(d18_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => k12_ratfunc1(A,B) = k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,k11_ratfunc1(A,B))),k2_hurwitz(A,k5_ratfunc1(A,k11_ratfunc1(A,B)))) ) ) )).
fof(d18_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v4_relat_1(B,A) <=> r1_tarski(k9_xtuple_0(B),A) ) ) )).
fof(d18_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r11_rewrite1(A,B) <=> ! [C] : ! [D] : ! [E] : ~ ( r1_rewrite1(A,C,D) & r1_rewrite1(B,C,E) & ! [F] : ~ ( r1_rewrite1(B,D,F) & r1_rewrite1(A,E,F) ) ) ) ) ) )).
fof(d18_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( m2_ringcat1(B,A) => k13_ringcat1(A,B) = k5_ringcat1(B) ) ) )).
fof(d18_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k11_rlvect_2(A)),k11_rlvect_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k11_rlvect_2(A)),k11_rlvect_2(A)))) ) => ( B = k15_rlvect_2(A) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k11_rlvect_2(A)) => k1_funct_1(B,k4_tarski(C,D)) = k8_rlvect_2(A,C,k12_rlvect_2(A,D)) ) ) ) ) ) )).
fof(d18_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k13_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),B) ) ) )).
fof(d18_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( m1_scmfsa_2(B) => k16_scmfsa_2(A,B) = k3_xtuple_0(11,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d18_scmpds_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k17_scmpds_2(A,B) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & D = k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) & C = k1_int_2(k2_xcmplx_0(D,B)) ) ) ) ) ) )).
fof(d18_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v8_scmyciel(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k9_scmyciel(A) <=> ( ? [C] : ( v1_finset_1(C) & v7_scmyciel(C,A) & m1_eqrel_1(C,k3_tarski(A)) & k4_card_1(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v7_scmyciel(C,A) & m1_eqrel_1(C,k3_tarski(A)) ) => r1_xxreal_0(B,k4_card_1(C)) ) ) ) ) ) )).
fof(d18_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ! [C] : ( v1_xreal_0(C) => k23_seq_4(A,B,C) = a_3_2_seq_4(A,B,C) ) ) ) )).
fof(d18_simplex0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ( v1_int_1(B) => ! [C] : ( ( v1_finset_1(C) & v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ( r1_xxreal_0(k9_simplex0(1),B) & r1_xxreal_0(B,k6_simplex0(A)) ) => ( m3_simplex0(C,A,B) <=> k4_card_1(C) = k1_xxreal_3(B,1) ) ) & ( ~ ( r1_xxreal_0(k9_simplex0(1),B) & r1_xxreal_0(B,k6_simplex0(A)) ) => ( m3_simplex0(C,A,B) <=> v1_xboole_0(C) ) ) ) ) ) ) ) )).
fof(d18_sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k18_sin_cos <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k3_complex1(k11_comseq_3(k3_sin_cos(k3_xcmplx_0(B,k7_complex1)))) ) ) ) )).
fof(d18_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)))) => ( B = k12_stacks_1(A) <=> ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( r2_tarski(k1_domain_1(u4_struct_0(A),u4_struct_0(A),C,D),B) <=> ~ ( ~ ( ~ r1_stacks_1(A,C) & D = k5_stacks_1(A,C) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => D != k7_stacks_1(A,C,E) ) ) ) ) ) ) ) ) )).
fof(d18_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ( v7_struct_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => B = k4_struct_0(A) ) ) ) )).
fof(d18_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k6_qc_lang1(A)) => ! [C] : ( m2_finseq_1(C,k2_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ( k7_qc_lang1(A,B) = k3_finseq_1(C) => k17_substut1(A,B,C,D) = k1_domain_1(k9_qc_lang1(A),k1_substut1(A),k10_qc_lang1(A,B,C),D) ) ) ) ) ) )).
fof(d18_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_pre_topc(C) & m1_pre_topc(C,A) ) => ( C = k6_tex_4(A,B) <=> u1_struct_0(C) = k3_tex_4(A,B) ) ) ) ) )).
fof(d18_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v6_trees_3(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( B = k15_trees_3(A) <=> ( k1_relset_1(k4_ordinal1,B) = k1_relset_1(k4_ordinal1,A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r2_tarski(C,k1_relset_1(k4_ordinal1,A)) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) => ~ ( D = k1_funct_1(A,C) & k1_funct_1(B,C) = k1_funct_1(D,k1_xboole_0) ) ) ) ) ) ) ) ) ) )).
fof(d18_turing_1,axiom,( k16_turing_1 = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k11_turing_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),1),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,1,1))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers),k3_xtuple_0(3,k5_numbers,k4_xcmplx_0(1)))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,2,1),k3_xtuple_0(3,k5_numbers,k4_xcmplx_0(1)))),k17_funcop_1(k1_domain_1(k4_ordinal1,k4_ordinal1,3,1),k3_xtuple_0(4,1,k4_xcmplx_0(1)))) )).
fof(d18_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k19_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k8_margrel1(k1_binarith(k1_binarith(k8_margrel1(B),C),D)) ) ) ) ) ) )).
fof(d18_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( v3_funct_1(B) <=> ? [C] : ( m1_subset_1(C,A) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(A,B,D) = C ) ) ) ) ) )).
fof(d18_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) => k63_valued_1(A) = k6_subset_1(A,k17_funcop_1(k62_valued_1(A),k1_funct_1(A,k62_valued_1(A)))) ) )).
fof(d18_valued_2,axiom,( ! [A] : ! [B] : ( B = k12_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) ) )).
fof(d18_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( v12_vectsp_1(A) <=> k1_algstr_0(A,k5_struct_0(A),k5_struct_0(A)) != k4_struct_0(A) ) ) )).
fof(d18_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_waybel_0(A,B) = k4_waybel_0(A,k6_domain_1(u1_struct_0(A),B)) ) ) )).
fof(d18_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k4_waybel_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k11_lattice3(A,B,D) ) ) ) ) ) )).
fof(d18_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v7_yellow_0(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r2_yellow_0(A,C) => r2_tarski(k2_yellow_0(A,C),u1_struct_0(B)) ) ) ) ) ) )).
fof(d18_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) <=> r1_tarski(B,k2_zfmisc_1(k5_yellow_6(A),u1_struct_0(A))) ) ) )).
fof(d18_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k11_zf_lang(A,B) = k6_zf_lang(k10_zf_lang(A,B),k10_zf_lang(B,A)) ) ) )).
fof(d18_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_numbers,k9_funct_2(u1_struct_0(A),k4_numbers)) => ( m1_zmodul02(B,A) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r2_tarski(D,C) => k3_funct_2(u1_struct_0(A),k4_numbers,B,D) = k5_numbers ) ) ) ) ) ) )).
fof(d19_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_abcmiz_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k7_abcmiz_0(A,B,C) <=> ( k3_finseq_1(D) = k1_nat_1(k3_finseq_1(C),1) & k1_funct_1(D,1) = B & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,u1_abcmiz_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(E,k4_finseq_1(C)) & F = k1_funct_1(C,E) & G = k1_funct_1(D,E) ) => k1_funct_1(D,k1_nat_1(E,1)) = k5_abcmiz_0(A,G,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d19_abcmiz_1,axiom,( k18_abcmiz_1 = k2_zfmisc_1(k1_tarski(k7_abcmiz_1),k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) )).
fof(d19_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r9_absred_0(A,C,B) & r9_absred_0(A,D,B) ) => C = D ) ) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r9_absred_0(A,C,B) ) | ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k3_absred_0(A,B) <=> r9_absred_0(A,C,B) ) ) ) ) ) ) )).
fof(d19_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => k21_aescip_1(A,B,C,D) = k1_funct_1(k2_funct_1(k3_aescip_1),k16_aescip_1(A,B,4,k1_aescip_1(4,4,k4_finseq_2(128,k5_margrel1),k4_finseq_2(8,k5_margrel1),k3_aescip_1,C),k18_aescip_1(D))) ) ) ) ) )).
fof(d19_algstr_0,axiom,( k7_algstr_0 = g3_algstr_0(k1_tarski(k5_ordinal1),k9_funct_5) )).
fof(d19_algstr_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k11_algstr_4(A,B),u1_struct_0(k14_algstr_4(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,B),u1_struct_0(k14_algstr_4(A))))) ) => ( ( ~ r1_xxreal_0(B,k5_numbers) => ( C = k16_algstr_4(A,B) <=> ! [D] : ( r2_tarski(D,k1_relset_1(k11_algstr_4(A,B),C)) => k1_funct_1(C,D) = k4_tarski(D,B) ) ) ) & ( r1_xxreal_0(B,k5_numbers) => ( C = k16_algstr_4(A,B) <=> C = k1_xboole_0 ) ) ) ) ) )).
fof(d19_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => ( v14_altcat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_zfmisc_1(k1_altcat_1(A,B,B)) ) ) ) )).
fof(d19_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & v3_aofa_000(A) & v5_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k15_aofa_000(A,B,C) = k14_aofa_000(A,B,C,k12_aofa_000(A)) ) ) ) )).
fof(d19_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,A,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,C),E)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k12_aofa_a00(A,B,C,D))) => ( H = k13_aofa_a00(A,B,C,D,E,F,G) <=> ! [I] : ( m2_pboole(I,u1_struct_0(A),D,u3_msualg_1(A,C)) => ( r2_tarski(I,H) <=> ( r2_tarski(I,k12_aofa_a00(A,B,C,D)) & k1_msafree4(k1_msafree4(u1_struct_0(A),D,E),k2_msafree4(u1_struct_0(A),D,u3_msualg_1(A,C),I,E),F) != G ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d19_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & v5_aofa_a01(E,A,B,C,D) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,C),F)) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),F)) => ( r2_tarski(G,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),F)) => k13_aofa_a01(A,B,C,D,E,F,G,H) = k1_funct_1(u3_aofa_a00(A,C,u4_aofa_a00(A,B,C,D),E),k4_tarski(G,H)) ) ) ) ) ) ) ) ) ) )).
fof(d19_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_funct_2(A,k4_numbers),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) => ( C = k23_aofa_i00(A,B) <=> ! [D] : ( m2_funct_2(D,A,k4_numbers,k9_funct_2(A,k4_numbers)) => k3_funct_2(k9_funct_2(A,k4_numbers),k4_numbers,C,D) = k21_aofa_i00(A,k4_numbers,D,k3_funct_2(k9_funct_2(A,k4_numbers),A,B,D)) ) ) ) ) ) )).
fof(d19_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( l3_msualg_1(D,B) => ( v15_aofa_l00(D,A,B,C) <=> k2_instalg1(B,A,D) = g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C)) ) ) ) ) ) )).
fof(d19_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v9_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( ( r2_tarski(k6_armstrng(A,C,D),B) & r2_tarski(k6_armstrng(A,E,F),B) & r3_armstrng(A,k6_armstrng(A,C,D),k6_armstrng(A,E,F)) ) => ( C = E & D = F ) ) ) ) ) ) ) ) )).
fof(d19_asympt_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_funct_2(B,A,k1_numbers) => ! [C] : ( m1_funct_2(C,A,k1_numbers) => k14_asympt_0(A,B,C) = a_3_1_asympt_0(A,B,C) ) ) ) )).
fof(d19_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( v12_bcialg_1(B,A) <=> ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => r2_tarski(k2_bcialg_1(A,C),B) ) ) ) ) )).
fof(d19_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_2(B,A) => k9_bcialg_2(A,B) = g2_bcialg_1(k8_eqrel_1(u1_struct_0(A),B),k7_bcialg_2(A,B),k8_bcialg_2(A,B)) ) ) )).
fof(d19_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( ~ v2_struct_0(E) & v7_vectsp_1(E,A) & m1_vectsp_4(E,A,C) ) => ( E = k14_bilinear(A,B,C,D) <=> u1_struct_0(E) = k11_bilinear(A,B,C,D) ) ) ) ) ) ) )).
fof(d19_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r5_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),F) = k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,F),k2_binop_1(A,A,A,B,E,F)) ) ) ) ) ) ) ) )).
fof(d19_bvfunc_1,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k7_xboolean(A,B) = k3_xboolean(k10_xboolean(A,B)) ) ) )).
fof(d19_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v11_cat_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 & ? [D] : ( m1_cat_1(D,A,B,C) & ! [E] : ( m1_cat_1(E,A,B,C) => D = E ) ) ) ) ) ) ) )).
fof(d19_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_cat_1(F,A,B,C) => ! [G] : ( m1_cat_1(G,A,D,E) => k18_cat_4(A,B,C,D,E,F,G) = k9_cat_4(A,C,E,k2_cat_4(A,B,D),k5_cat_1(A,k2_cat_4(A,B,D),B,C,k7_cat_4(A,B,D),F),k5_cat_1(A,k2_cat_4(A,B,D),D,E,k8_cat_4(A,B,D),G)) ) ) ) ) ) ) ) )).
fof(d19_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ( ( ~ v2_struct_0(A) => ( C = k8_cat_6(A,B) <=> ? [D] : ( m1_subset_1(D,k1_cat_6(A)) & C = D & r1_cat_6(A,D,B) & v11_cat_6(D,A) ) ) ) & ( v2_struct_0(A) => ( C = k8_cat_6(A,B) <=> C = o_1_1_cat_6(A) ) ) ) ) ) ) )).
fof(d19_coh_sp,axiom,( ! [A] : k19_coh_sp(A) = k3_tarski(a_1_5_coh_sp(A)) )).
fof(d19_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k10_cohsp_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ? [E] : ( C = k4_tarski(D,E) & r2_hidden(k4_tarski(k1_tarski(D),E),k7_cohsp_1(A)) ) ) ) ) )).
fof(d19_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => k12_comput_1(A) = k2_xboole_0(A,a_1_4_comput_1(A)) ) )).
fof(d19_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)))) ) => ( B = k10_conlat_1(A) <=> ! [C] : ( ( v3_conlat_1(C,A) & ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) => ! [D] : ( ( v3_conlat_1(D,A) & ~ v4_conlat_1(D,A) & v6_conlat_1(D,A) & l2_conlat_1(D,A) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u4_struct_0(A))) & k1_binop_1(B,C,D) = g2_conlat_1(A,E,F) & E = k3_funct_2(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k4_subset_1(u1_struct_0(A),u2_conlat_1(A,C),u2_conlat_1(A,D)))) & F = k9_subset_1(u4_struct_0(A),u3_conlat_1(A,C),u3_conlat_1(A,D)) ) ) ) ) ) ) ) )).
fof(d19_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_clvect_1(B,A) => k17_convex4(A,B) = u1_struct_0(B) ) ) )).
fof(d19_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k14_decomp_1(A) = a_1_8_decomp_1(A) ) )).
fof(d19_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k17_e_siec(A) = k2_xboole_0(k4_xboole_0(k2_xboole_0(u1_e_siec(A),u2_e_siec(A)),k4_relat_1(u1_struct_0(A))),k4_relat_1(k4_xboole_0(u1_struct_0(A),k10_xtuple_0(u1_e_siec(A))))) ) )).
fof(d19_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_cat_1(A,B,k3_graph_1(A,C)),k2_cat_1(A,B,k4_graph_1(A,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,B,k3_graph_1(A,C)),k2_cat_1(A,B,k4_graph_1(A,C))))) ) => ( D = k17_ens_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( r2_tarski(E,k2_cat_1(A,B,k3_graph_1(A,C))) => k1_funct_1(D,E) = k1_cat_1(A,E,C) ) ) ) ) ) ) ) )).
fof(d19_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k16_facirc_1(A,B,C) = k3_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C))),k5_circcomb(k3_facirc_1,k10_finseq_1(C,A)),k3_circcomb(k5_circcomb(k3_facirc_1,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C)),k6_facirc_1(A,B,k3_facirc_1),k6_facirc_1(B,C,k3_facirc_1)),k6_facirc_1(C,A,k3_facirc_1)) )).
fof(d19_finseq_1,axiom,( ! [A] : ( v1_finset_1(A) => k19_finseq_1(A) = o_1_1_finseq_1(A) ) )).
fof(d19_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_fomodel0(B,A) <=> ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,A) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,A) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ( r2_tarski(C,B) & r2_tarski(E,B) & k7_finseq_1(C,D) = k7_finseq_1(E,F) ) => ( C = E & D = F ) ) ) ) ) ) ) ) )).
fof(d19_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v9_fomodel1(B,A) <=> r2_tarski(B,k9_fomodel1(A)) ) ) ) )).
fof(d19_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_rfunct_3(C,k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) => ( D = k20_fomodel2(A,B,C) <=> ( ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [F] : ( m2_subset_1(F,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),E,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),D)) <=> ? [G] : ( m2_subset_1(G,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) & ? [H] : ( m2_subset_1(H,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) & F = k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),G),H) & r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),E,G),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),C)) & r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),E,H),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),C)) ) ) ) ) ) & ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [F] : ( m2_subset_1(F,k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),E,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),D)) => k1_binop_1(D,E,F) = k19_fomodel2(A,B,C,E,F) ) ) ) ) ) ) ) ) ) )).
fof(d19_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( m2_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)) => ! [D] : ( ( v15_fomodel1(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k26_fomodel3(A,B,C,D) = k7_finseq_1(k43_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D)),k1_funct_1(k21_fomodel1(A),k3_relat_1(k34_fomodel1(A,D),k9_fomodel2(A,k35_fomodel1(A),k34_fomodel2(A,k35_fomodel1(A),k7_fomodel3(A,k1_xboole_0),B,C))))) ) ) ) ) )).
fof(d19_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( v1_freealg(B) => k16_freealg(A,B) = a_2_1_freealg(A,B) ) ) )).
fof(d19_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => ( r7_fsm_1(A,B,C,D) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v3_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,u2_fsm_1(A,C)) = u2_fsm_1(A,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,A) => ( k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,k2_binop_1(u1_struct_0(C),A,u1_struct_0(C),u1_fsm_1(A,C),F,G)) = k2_binop_1(u1_struct_0(D),A,u1_struct_0(D),u1_fsm_1(A,D),k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,F),G) & k2_binop_1(u1_struct_0(C),A,B,u3_fsm_1(A,B,C),F,G) = k2_binop_1(u1_struct_0(D),A,B,u3_fsm_1(A,B,D),k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,F),G) ) ) ) ) ) ) ) ) ) )).
fof(d19_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k19_ftacell1(A,B,C,D,E) = k2_circcomb(k49_gfacirc1(A,B,C),k49_gfacirc1(k48_gfacirc1(A,B,C),E,D)) )).
fof(d19_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( ( v11_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v8_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D)) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d19_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) ) => k19_gate_1(A,B,C,D,E) = k1_gate_1(k1_xboole_0) ) & ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & k19_gate_1(A,B,C,D,E) != k1_xboole_0 ) ) )).
fof(d19_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => k16_gaussint(A) = k3_xcmplx_0(A,k15_gaussint(A)) ) )).
fof(d19_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r7_gcd_1(A,C,D) & r7_gcd_1(A,E,F) & D = k4_gcd_1(A,B,D) & F = k4_gcd_1(A,B,F) ) => ( ( ( C = k4_struct_0(A) | E = k4_struct_0(A) ) => k9_gcd_1(A,B,C,D,E,F) = k5_struct_0(A) ) & ( ( D = k5_struct_0(A) & F = k5_struct_0(A) ) => k9_gcd_1(A,B,C,D,E,F) = k5_struct_0(A) ) & ( D = k5_struct_0(A) => ( F = k4_struct_0(A) | k9_gcd_1(A,B,C,D,E,F) = k1_gcd_1(A,F,k5_gcd_1(A,B,C,F)) ) ) & ( F = k5_struct_0(A) => ( D = k4_struct_0(A) | k9_gcd_1(A,B,C,D,E,F) = k1_gcd_1(A,D,k5_gcd_1(A,B,E,D)) ) ) & ~ ( C != k4_struct_0(A) & E != k4_struct_0(A) & ~ ( D = k5_struct_0(A) & F = k5_struct_0(A) ) & ~ ( F != k4_struct_0(A) & D = k5_struct_0(A) ) & ~ ( D != k4_struct_0(A) & F = k5_struct_0(A) ) & k9_gcd_1(A,B,C,D,E,F) != k8_group_1(A,k1_gcd_1(A,D,k5_gcd_1(A,B,E,D)),k1_gcd_1(A,F,k5_gcd_1(A,B,C,F))) ) ) ) ) ) ) ) ) ) )).
fof(d19_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k19_gfacirc1(A,B,C) = k2_circcomb(k17_gfacirc1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_gfacirc1),k4_tarski(k10_finseq_1(B,C),k2_twoscomp),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)))) )).
fof(d19_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v4_glib_000(A) <=> k1_card_1(k6_glib_000(A)) = 1 ) ) )).
fof(d19_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r2_tarski(C,k13_glib_001(A,B)) => ( D = k16_glib_001(A,B,C) <=> ( r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,D) = C & ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => ( ( r1_xxreal_0(E,k3_finseq_1(B)) & k1_funct_1(B,E) = C ) => r1_xxreal_0(D,E) ) ) ) ) ) & ( ~ r2_tarski(C,k13_glib_001(A,B)) => ( D = k16_glib_001(A,B,C) <=> D = k3_finseq_1(B) ) ) ) ) ) ) )).
fof(d19_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => k10_glib_003(A,B) = k18_rvsum_1(k9_glib_003(A,B)) ) ) )).
fof(d19_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & m1_glib_000(B,A) ) => ( v1_glib_004(B,A) <=> ! [C] : ( ( v9_glib_000(C,A) & v3_glib_002(C) & v1_glib_003(C) & v4_glib_003(C,A) & m1_glib_000(C,A) ) => r1_xxreal_0(k4_glib_004(B),k4_glib_004(C)) ) ) ) ) )).
fof(d19_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k6_graph_1(A) <=> ? [C] : ( v1_finset_1(C) & C = u1_struct_0(A) & B = k4_card_1(C) ) ) ) ) )).
fof(d19_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r9_graph_5(A,B,C,D,E) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,C) & F != D & ! [G] : ( ( v7_graph_1(G,A) & m2_graph_1(G,A) ) => ~ ( r8_graph_5(A,D,F,G,C,E) & r1_xxreal_0(k10_graph_5(A,G,E),k10_graph_5(A,B,E)) ) ) ) ) ) ) ) ) ) )).
fof(d19_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r5_graphsp(A,B,C) <=> ( k3_finseq_1(C) = k1_nat_1(k3_finseq_1(B),1) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( k1_funct_1(u1_graph_1(A),k1_funct_1(B,D)) = k1_funct_1(C,D) & k1_funct_1(u2_graph_1(A),k1_funct_1(B,D)) = k1_funct_1(C,k1_nat_1(D,1)) ) ) ) ) ) ) ) ) )).
fof(d19_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v4_grcat_1(C) ) => ( m4_grcat_1(C,A,B) <=> ! [D] : ( m3_grcat_1(D,C) => ( v1_grcat_1(D) & m1_grcat_1(D,A,B) ) ) ) ) ) ) )).
fof(d19_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => k15_group_10(A,B) = a_2_1_group_10(A,B) ) ) )).
fof(d19_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ( r2_group_9(A,B,C) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v3_funct_2(D,u1_struct_0(B),u1_struct_0(C)) ) ) ) ) )).
fof(d19_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r8_gtarski1(A,B,C,D,E) <=> ( B != C & D != E & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r7_gtarski1(A,B,C,F) <=> r7_gtarski1(A,D,E,F) ) ) ) ) ) ) ) ) ) )).
fof(d19_idea_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k14_idea_1,k14_idea_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) => ( C = k19_idea_1(A,B) <=> ! [D] : ( m2_finseq_1(D,k4_ordinal1) => k1_funct_1(C,D) = k11_idea_1(B,D,A) ) ) ) ) ) )).
fof(d19_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k11_ideal_1(A,B,C) = a_3_2_ideal_1(A,B,C) ) ) ) )).
fof(d19_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ( B != C => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( D = k1_incsp_1(A,B,C) <=> r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) ) ) ) ) ) ) )).
fof(d19_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( v7_ordinal1(D) => ( r1_integra1(B,C) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r2_tarski(D,k4_finseq_1(B)) => ( E = k13_integra1(A,B,C,D) <=> ( r2_tarski(E,k4_finseq_1(C)) & k1_funct_1(B,D) = k1_funct_1(C,E) ) ) ) & ( ~ r2_tarski(D,k4_finseq_1(B)) => ( E = k13_integra1(A,B,C,D) <=> E = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(d19_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_interva1(B,A) => ! [C] : ( m2_interva1(C,A) => k17_interva1(A,B,C) = k4_tarski(k9_subset_1(u1_struct_0(A),k14_interva1(A,B),k14_interva1(A,C)),k9_subset_1(u1_struct_0(A),k15_interva1(A,B),k15_interva1(A,C))) ) ) ) )).
fof(d19_lattad_1,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(1,2,3)) => ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ( ( ( A = 1 & B = 1 ) => k13_lattad_1(A,B) = 1 ) & ( ( B = 2 | ( B = 1 & ( A = 2 | A = 3 ) ) ) => k13_lattad_1(A,B) = 2 ) & ( B = 3 => k13_lattad_1(A,B) = 3 ) ) ) ) )).
fof(d19_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v5_lattice3(A) <=> ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r4_lattice3(A,C,B) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r4_lattice3(A,F,B) => r1_lattices(A,C,F) ) ) & r4_lattice3(A,E,a_3_0_lattice3(A,B,D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r4_lattice3(A,F,a_3_0_lattice3(A,B,D)) => r1_lattices(A,E,F) ) ) ) => r1_lattices(A,k2_lattices(A,D,C),E) ) ) ) ) ) ) )).
fof(d19_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(D,D),u1_struct_0(B)) & v1_lattice5(E,D,B) & v2_lattice5(E,D,B) & v3_lattice5(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,D),u1_struct_0(B)))) ) => ( r2_lattice5(A,B,C,D,E) <=> ? [F] : ( m1_lattice5(F,A,B,C) & D = k13_lattice5(A,B,C) & r1_funct_2(k2_zfmisc_1(D,D),u1_struct_0(B),k2_zfmisc_1(k13_lattice5(A,B,C),k13_lattice5(A,B,C)),u1_struct_0(B),E,k15_lattice5(A,B,C,F)) ) ) ) ) ) ) ) )).
fof(d19_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v16_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_lattices(A,C,B) ) ) ) ) )).
fof(d19_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => k18_lexbfs(A) = k4_tarski(k1_xboole_0,k8_funcop_1(k4_ordinal1,k6_glib_000(A),k5_numbers)) ) )).
fof(d19_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k14_lmod_7(A,B,C,D) = k8_lmod_7(A,B,C,D) ) ) ) ) )).
fof(d19_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_clvect_1(D) & v2_clvect_1(D) & v3_clvect_1(D) & v4_clvect_1(D) & v5_clvect_1(D) & l1_clvect_1(D) ) => ( D = k22_lpspacc1(A,B,C) <=> ( u1_struct_0(D) = k18_lpspacc1(A,B,C) & r1_funct_2(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(D)),u1_struct_0(D),k2_zfmisc_1(k18_lpspacc1(A,B,C),k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C),u1_algstr_0(D),k19_lpspacc1(A,B,C)) & k4_struct_0(D) = k20_lpspacc1(A,B,C) & r1_funct_2(k2_zfmisc_1(k2_numbers,u1_struct_0(D)),u1_struct_0(D),k2_zfmisc_1(k2_numbers,k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C),u1_clvect_1(D),k21_lpspacc1(A,B,C)) ) ) ) ) ) ) )).
fof(d19_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k18_lpspace1(A,B,C)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_lpspace1(A,B,C)),k1_numbers))) ) => ( D = k19_lpspace1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k18_lpspace1(A,B,C))) => ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & r2_tarski(F,E) & k3_funct_2(u1_struct_0(k18_lpspace1(A,B,C)),k1_numbers,D,E) = k1_mesfunc6(A,B,C,k56_valued_1(A,k1_numbers,F)) ) ) ) ) ) ) ) )).
fof(d19_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( r4_ltlaxio1(A,B) <=> B = k2_ltlaxio1(A) ) ) ) )).
fof(d19_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( C = k14_margrel1(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k3_funct_2(A,k5_margrel1,C,D) = k8_margrel1(k3_funct_2(A,k5_margrel1,B,D)) ) ) ) ) ) )).
fof(d19_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k22_member_1(A,B) = k12_member_1(k1_tarski(B),A) ) ) )).
fof(d19_membered,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ( r1_xboole_0(A,B) <=> ! [C] : ( v1_xcmplx_0(C) => ~ ( r2_hidden(C,A) & r2_hidden(C,B) ) ) ) ) ) )).
fof(d19_mod_2,axiom,( k17_mod_2 = k5_numbers )).
fof(d19_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => ( v4_modal_1(A) <=> ? [B] : ( m1_subset_1(B,k6_modal_1) & ? [C] : ( m1_subset_1(C,k6_modal_1) & A = k12_modal_1(B,C) ) ) ) ) )).
fof(d19_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v4_modelc_2(A) => ( B = k11_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k4_modelc_2(B,C) = A ) ) ) & ( v5_modelc_2(A) => ( B = k11_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k5_modelc_2(B,C) = A ) ) ) & ( v7_modelc_2(A) => ( B = k11_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k7_modelc_2(B,C) = A ) ) ) & ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ ( B = k11_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k8_modelc_2(B,C) = A ) ) ) ) ) ) ) )).
fof(d19_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r5_modelc_3(A,B) <=> ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(B),C) & ! [D] : ( ( v1_modelc_3(D,A) & l1_modelc_3(D,A) ) => ! [E] : ( ( v1_modelc_3(E,A) & l1_modelc_3(E,A) ) => ~ ( D = k1_funct_1(B,C) & E = k1_funct_1(B,k1_nat_1(C,1)) & r4_modelc_3(A,D,E) ) ) ) ) ) ) ) ) )).
fof(d19_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v16_monoid_0(A) <=> v8_monoid_0(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d19_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),k13_msafree(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(A,B))) => ( r2_tarski(E,k6_dtconstr(k5_msafree(A,B))) => ! [F] : ( m1_subset_1(F,k3_card_3(C)) => ( F = k16_msafree(A,B,C,D,E) <=> ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = k1_funct_1(D,k2_xtuple_0(E)) => F = k1_funct_1(G,k2_trees_4(u1_struct_0(k5_msafree(A,B)),E)) ) ) ) ) ) ) ) ) ) ) )).
fof(d19_msafree4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v12_msafree4(C,A,B) & v13_msafree4(C,A,B) & m1_msualg_4(C,A,B,B) ) => ! [D] : ( ( v2_relat_1(D) & m3_pboole(D,A,B) ) => ( D = k9_msafree4(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k1_msafree4(A,D,E) = a_4_0_msafree4(A,B,C,E) ) ) ) ) ) ) )).
fof(d19_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( v7_ordinal1(D) => k14_msafree5(A,B,C,D) = a_4_3_msafree5(A,B,C,D) ) ) ) ) )).
fof(d19_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( C = k14_msualg_2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( v3_msualg_1(D,A) & m1_msualg_2(D,A,B) ) ) ) ) ) )).
fof(d19_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_msualg_3(A,B,C,D) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)))) ) => ( F = k18_msualg_4(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => k1_funct_1(F,k6_eqrel_1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),E),k16_msualg_4(A,B,C,D,E),G)) = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),G) ) ) ) ) ) ) ) ) ) )).
fof(d19_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r15_ncfcont1(A,B,C,D) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(F,C) & r2_tarski(G,C) ) => r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),D,F),k7_partfun1(u1_struct_0(B),D,G))),k3_xcmplx_0(E,k2_normsp_0(A,k5_algstr_0(A,F,G)))) ) ) ) ) ) ) ) ) ) )).
fof(d19_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_oposet_1(A,B) <=> ( v9_oposet_1(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) & r2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) ) ) ) ) ) ) )).
fof(d19_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => k17_osafree(A,B,C) = a_3_1_osafree(A,B,C) ) ) ) )).
fof(d19_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m2_pboole(D,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,B,C))),k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,B,C))) => ( D = k15_osalg_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => r2_funct_2(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,B,C))),E),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,B,C)),E),k5_msualg_4(A,k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,B,C))),k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,B,C)),D,E),k14_osalg_4(A,E,B,C)) ) ) ) ) ) ) )).
fof(d19_pboole,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k8_pboole(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k3_relat_1(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d19_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( r7_pdiff_1(A,B,C,D,E) <=> ( r1_tarski(E,k1_relset_1(u1_struct_0(k4_real_ns1(A)),D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(A))) => ( r2_tarski(F,E) => r2_pdiff_1(B,A,C,k2_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),D,E),F) ) ) ) ) ) ) ) ) )).
fof(d19_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => k19_polyform(A,B) = k1_ranknull(k2_bspace,k14_polyform(A,B),k14_polyform(A,k6_xcmplx_0(B,1)),k18_polyform(A,B)) ) ) )).
fof(d19_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_prelamb(A,B,C) <=> ( r2_prelamb(A,k12_finseq_1(u1_struct_0(A),B),C) & r2_prelamb(A,k12_finseq_1(u1_struct_0(A),C),B) ) ) ) ) ) )).
fof(d19_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k18_pscomp_1(A) = k19_euclid(k6_pscomp_1(A),k1_pscomp_1(k1_pre_topc(k15_euclid(2),k14_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k14_pscomp_1(A)))) ) )).
fof(d19_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v3_qc_lang1(B,A) <=> ? [C] : ( m1_subset_1(C,k9_qc_lang1(A)) & B = k13_qc_lang1(A,C) ) ) ) ) )).
fof(d19_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r1_qc_lang2(A,B,C) <=> ~ ( C != k13_qc_lang1(A,B) & ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( C != k14_qc_lang1(A,B,D) & C != k14_qc_lang1(A,D,B) ) ) & ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => C != k15_qc_lang1(A,D,B) ) ) ) ) ) ) )).
fof(d19_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_quantal1(A) ) => ( v20_quantal1(A) <=> v18_quantal1(u1_quantal1(A),A) ) ) )).
fof(d19_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_quaterni(B) => k19_quaterni(A,B) = k18_quaterni(A,k7_quaterni(B)) ) ) )).
fof(d19_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k13_ratfunc1(A,B,C) = k12_algstr_0(A,k2_polynom4(A,k4_ratfunc1(A,B),C),k2_polynom4(A,k5_ratfunc1(A,B),C)) ) ) ) )).
fof(d19_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v5_relat_1(B,A) <=> r1_tarski(k10_xtuple_0(B),A) ) ) )).
fof(d19_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_rewrite1(A) <=> ! [B] : ! [C] : ( ( r3_rewrite1(A,B) & r3_rewrite1(A,C) & r2_rewrite1(A,B,C) ) => B = C ) ) ) )).
fof(d19_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k16_rlvect_2(A) = g1_rlvect_1(k11_rlvect_2(A),k13_rlvect_2(A,k4_rlvect_2(A)),k14_rlvect_2(A),k15_rlvect_2(A)) ) )).
fof(d19_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k14_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),k12_robbins1(A,B)) ) ) )).
fof(d19_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( m1_scmfsa_2(B) => k17_scmfsa_2(A,B) = k3_xtuple_0(12,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d19_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_tarski(A))) => ( v9_scmyciel(B,A) <=> ! [C] : ! [D] : ~ ( C != D & r2_tarski(C,B) & r2_tarski(D,B) & r2_hidden(k2_tarski(C,D),A) ) ) ) ) )).
fof(d19_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ! [D] : ( v1_xreal_0(D) => ( D = k24_seq_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_numbers)) => ( E = a_3_3_seq_4(A,B,C) => D = k3_seq_4(E) ) ) ) ) ) ) ) )).
fof(d19_simplex0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ( ( v1_int_1(B) & r1_xxreal_0(B,k6_simplex0(A)) ) => ! [C] : ( m3_simplex0(C,A,B) => ! [D] : ( m3_simplex0(D,A,k4_xxreal_0(k3_xxreal_3(B,1),k9_simplex0(1))) => ( m4_simplex0(D,A,B,C) <=> r1_tarski(D,C) ) ) ) ) ) ) )).
fof(d19_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => k19_sin_cos(A) = k1_funct_1(k18_sin_cos,A) ) )).
fof(d19_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k13_stacks_1(A,B) <=> ( r1_stacks_1(A,C) & ? [D] : ( v5_relat_1(D,u4_struct_0(A)) & m1_rewrite1(D,k12_stacks_1(A)) & k1_funct_1(D,1) = B & k1_funct_1(D,k3_finseq_1(D)) = C & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(D),E) | ( ~ r1_stacks_1(A,k7_partfun1(u4_struct_0(A),D,E)) & k7_partfun1(u4_struct_0(A),D,k1_nat_1(E,1)) = k5_stacks_1(A,k7_partfun1(u4_struct_0(A),D,E)) ) ) ) ) ) ) ) ) ) ) )).
fof(d19_struct_0,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ( v13_struct_0(B,A) <=> v3_card_1(u1_struct_0(B),A) ) ) )).
fof(d19_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v2_substut1(B,A) <=> ? [C] : ( m1_subset_1(C,k1_substut1(A)) & B = k1_domain_1(k3_cqc_lang(A),k1_substut1(A),k5_cqc_lang(A),C) ) ) ) ) )).
fof(d19_turing_1,axiom,( ! [A] : ( ( v1_turing_1(A) & l1_turing_1(A) ) => ( A = k17_turing_1 <=> ( u1_turing_1(A) = k7_domain_1(k4_ordinal1,k5_numbers,1) & u2_turing_1(A) = k3_turing_1(4) & r1_funct_2(k2_zfmisc_1(u2_turing_1(A),u1_turing_1(A)),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),u3_turing_1(A),k16_turing_1) & u4_turing_1(A) = k5_numbers & u5_turing_1(A) = 4 ) ) ) )).
fof(d19_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k20_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k8_margrel1(k1_binarith(k1_binarith(k8_margrel1(B),k8_margrel1(C)),D)) ) ) ) ) ) )).
fof(d19_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ( v10_valued_0(A) <=> k1_funct_1(A,k1_xboole_0) = k5_numbers ) ) )).
fof(d19_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => k64_valued_1(A) = k2_xxreal_2(k1_relset_1(k4_ordinal1,A)) ) )).
fof(d19_valued_2,axiom,( ! [A] : ! [B] : ( B = k13_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) ) )).
fof(d19_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v13_vectsp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_algstr_0(A,D,E)) = k1_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(d19_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v7_waybel34(B,A) <=> r2_tarski(k3_yellow_0(A),u1_struct_0(B)) ) ) ) )).
fof(d19_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v12_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r1_orders_2(A,D,C) ) => r2_tarski(D,B) ) ) ) ) ) ) )).
fof(d19_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v9_waybel_1(A) <=> ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v5_waybel_1(k4_waybel_1(A,B),A,A) ) ) ) ) )).
fof(d19_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( B = k12_waybel_4(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v5_waybel_4(C,A) & v6_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) ) )).
fof(d19_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v8_yellow_0(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r1_yellow_0(A,C) => r2_tarski(k1_yellow_0(A,C),u1_struct_0(B)) ) ) ) ) ) )).
fof(d19_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( B = k11_yellow_6(A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_tarski(C,k5_yellow_6(A)) & r2_tarski(D,k9_yellow_6(A,C)) ) ) ) ) ) ) ) )).
fof(d19_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k12_zf_lang(A,B) = k5_zf_lang(k7_zf_lang(A,k5_zf_lang(B))) ) ) )).
fof(d19_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ( v8_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( m3_zmodul01(C,A,B) <=> r1_zmodul01(A,C,B) ) ) ) ) ) )).
fof(d19_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_zmodul02(B,A) => k18_zmodul02(A,B) = a_2_2_zmodul02(A,B) ) ) )).
fof(d1_abcmiz_1,axiom,( ! [A] : ! [B] : ( B = k1_abcmiz_1(A) <=> ( r1_tarski(A,B) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) => r1_tarski(C,B) ) & ! [C] : ( ( r1_tarski(A,C) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) => r1_tarski(D,C) ) ) => r1_tarski(B,C) ) ) ) )).
fof(d1_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ( v1_abcmiz_a(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v2_abcmiz_1(B,A) => ( r2_tarski(B,k20_abcmiz_1) & k1_xfamily(B) = k2_msualg_1(A,B) & k1_card_1(k1_xfamily(k2_xfamily(B))) = k3_finseq_1(k1_msualg_1(A,B)) ) ) ) ) ) )).
fof(d1_abian,axiom,( ! [A] : ( v1_int_1(A) => ( v1_abian(A) <=> r1_int_1(2,A) ) ) )).
fof(d1_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_absred_0(A,B,C) <=> r2_hidden(k4_tarski(B,C),u1_absred_0(A)) ) ) ) ) )).
fof(d1_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,A) => k9_complex1(A) = A ) & ( ~ r1_xxreal_0(k5_numbers,A) => k9_complex1(A) = k4_xcmplx_0(A) ) ) ) )).
fof(d1_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(128,k5_margrel1),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(128,k5_margrel1),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ( A = k3_aescip_1 <=> ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k2_finseq_1(4)) & r2_tarski(D,k2_finseq_1(4)) ) => k1_funct_1(k1_funct_1(k1_aescip_1(4,4,k4_finseq_2(128,k5_margrel1),k4_finseq_2(8,k5_margrel1),A,B),C),D) = k3_finseq_6(k5_margrel1,B,k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(C,1),8)),k2_nat_1(k7_nat_d(D,1),32)),k1_nat_1(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(C,1),8)),k2_nat_1(k7_nat_d(D,1),32)),7)) ) ) ) ) ) ) )).
fof(d1_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_aff_1(A,B,C,D) <=> r2_analoaf(A,B,C,B,D) ) ) ) ) ) )).
fof(d1_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v1_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & r2_hidden(D,B) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,C) & r2_hidden(H,C) & r2_hidden(I,C) & r2_analoaf(A,D,H,E,G) & r2_analoaf(A,E,I,F,H) ) => r2_analoaf(A,D,I,F,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v1_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,B) & r2_hidden(E,C) & r2_hidden(H,C) & r2_hidden(I,C) & r2_hidden(E,D) & r2_hidden(J,D) & r2_hidden(K,D) & r1_aff_1(A,H,F,L) & r1_aff_1(A,I,G,L) & r1_aff_1(A,H,J,M) & r1_aff_1(A,I,K,M) & r2_analoaf(A,F,J,G,K) ) => ( C = B | C = D | B = D | E = F | E = H | E = J | L = M | r1_aff_1(A,H,F,J) | r1_aff_1(A,I,G,K) | F = G | r2_analoaf(A,F,J,L,M) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_aff_4(A,B,C) = a_3_0_aff_4(A,B,C) ) ) ) )).
fof(d1_afinsq_1,axiom,( ! [A] : k3_afinsq_1(A) = k17_funcop_1(k5_numbers,A) )).
fof(d1_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( B = k1_afinsq_2(A) <=> ( k1_afinsq_1(B) = k1_afinsq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(B,C) = k1_funct_1(A,k6_xcmplx_0(k1_afinsq_1(A),k1_nat_1(C,1))) ) ) ) ) ) ) )).
fof(d1_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k1_afproj(A) = a_1_0_afproj(A) ) )).
fof(d1_afvect0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v1_afvect0(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,D) => B = C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,D,E,F,G) ) => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,C,D,E) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) ) => r2_analoaf(A,C,D,F,G) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_analoaf(A,B,D,D,C) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,B,D,C,E) ) ) ) ) ) ) ) ) )).
fof(d1_afvect01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v1_afvect01(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,C,B) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_analoaf(A,B,C,B,B) => B = C ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,D,E,F,G) ) => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_analoaf(A,B,D,D,C) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_analoaf(A,F,B,F,C) & r2_analoaf(A,F,D,F,E) ) => ( B = C | D = E | r2_analoaf(A,B,D,C,E) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( B != D & r2_analoaf(A,B,C,C,D) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( E != F & r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,E,E,C) & r2_analoaf(A,B,F,F,C) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,C,G) & r2_analoaf(A,C,D,E,F) & r2_analoaf(A,C,E,E,D) & r2_analoaf(A,C,F,F,D) ) => r2_analoaf(A,B,D,D,G) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != E & C != D & r2_analoaf(A,B,C,C,E) & r2_analoaf(A,B,D,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( F != G & r2_analoaf(A,C,D,F,G) & r2_analoaf(A,C,F,F,D) & r2_analoaf(A,C,G,G,D) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,G,H) & r2_analoaf(A,B,E,E,C) & r2_analoaf(A,B,G,G,D) & r2_analoaf(A,B,F,F,C) & r2_analoaf(A,B,H,H,D) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_analoaf(A,C,D,I,J) & r2_analoaf(A,C,I,I,D) & r2_analoaf(A,C,J,J,D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) <=> ( r1_unialg_2(A,B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(u1_unialg_1(A))) => ! [E] : ( m5_margrel1(E,u1_struct_0(A),k1_unialg_2(A)) => ! [F] : ( m5_margrel1(F,u1_struct_0(B),k1_unialg_2(B)) => ( ( E = k1_funct_1(u1_unialg_1(A),D) & F = k1_funct_1(u1_unialg_1(B),D) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( r2_tarski(G,k1_relset_1(k3_finseq_2(u1_struct_0(A)),E)) => k1_funct_1(C,k1_funct_1(E,G)) = k1_funct_1(F,k4_finseqop(u1_struct_0(A),u1_struct_0(B),G,C)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_polynom1(B,A) <=> ? [C] : ( v7_ordinal1(C) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => k1_funct_1(B,D) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(d1_algspec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k1_algspec1(A,B) = k1_funct_4(k6_partfun1(A),k5_relat_1(B,A)) ) )).
fof(d1_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,B,C) = k4_binop_1(u1_struct_0(A),u1_algstr_0(A),B,C) ) ) ) )).
fof(d1_algstr_1,axiom,( ! [A] : k1_algstr_1(A) = A )).
fof(d1_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v3_algstr_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k1_algstr_2(A,B) <=> k1_algstr_0(A,B,C) = k4_struct_0(A) ) ) ) ) )).
fof(d1_algstr_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_algstr_3(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_algstr_3(A,B,C,D) = k2_multop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_algstr_3(A),B,C,D) ) ) ) ) )).
fof(d1_ali2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_ali2(B,A) <=> ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_xxreal_0(k3_metric_1(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,E)),k3_xcmplx_0(C,k3_metric_1(A,D,E))) ) ) ) ) ) ) )).
fof(d1_altcat_1,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_altcat_1(A,B,C) = k1_binop_1(u1_altcat_1(A),B,C) ) ) ) )).
fof(d1_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,B)) => ( r1_altcat_3(A,B,C,D,E) <=> k5_altcat_1(A,C,B,C,E,D) = k8_altcat_1(A,C) ) ) ) ) ) ) )).
fof(d1_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & m1_altcat_2(B,A) ) => ( B = k1_altcat_4(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,D)) => ( r2_tarski(E,k1_binop_1(u1_altcat_1(B),C,D)) <=> ( k1_altcat_1(A,C,D) != k1_xboole_0 & v4_altcat_3(E,A,C,D) ) ) ) ) ) ) ) ) ) )).
fof(d1_altcat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) ) => ( m1_altcat_6(E,A,B,C,D) <=> ! [F] : ~ ( r2_hidden(F,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( G = k1_funct_1(D,F) & m1_subset_1(k1_funct_1(E,F),k1_altcat_1(A,G,B)) ) ) ) ) ) ) ) ) )).
fof(d1_ami_2,axiom,( k1_ami_2 = k2_xboole_0(k1_tarski(k4_ordinal1),k2_scm_inst) )).
fof(d1_ami_3,axiom,( k1_ami_3 = g1_extpro_1(k5_card_1(2),k1_ami_2,k10_subset_1(k4_ordinal1,k1_ami_2),k3_scm_inst,k3_ami_2,k4_ami_2,k9_ami_2) )).
fof(d1_ami_4,axiom,( k1_ami_4 = k1_funct_4(k17_funcop_1(k5_numbers,k2_ami_3(k10_ami_3(2),k10_ami_3(1))),k1_funct_4(k17_funcop_1(1,k6_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1))),k1_funct_4(k17_funcop_1(2,k2_ami_3(k10_ami_3(k5_numbers),k10_ami_3(2))),k1_funct_4(k17_funcop_1(3,k9_ami_3(k5_numbers,k10_ami_3(1))),k17_funcop_1(4,k2_compos_1(k1_ami_3)))))) )).
fof(d1_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_ami_wstd(A,B,C,D) <=> ? [E] : ( ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) & k7_partfun1(k4_ordinal1,E,1) = C & k7_partfun1(k4_ordinal1,E,k3_finseq_1(E)) = D & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | r2_tarski(k7_partfun1(k4_ordinal1,E,k1_nat_1(F,1)),k3_amistd_1(A,B,k7_partfun1(k4_ordinal1,E,F))) ) ) ) ) ) ) ) ) ) )).
fof(d1_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_compos_0(u1_compos_1(B))) => ( v1_amistd_1(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_compos_1(B)) => ( ( k5_compos_0(u1_compos_1(B),F) = C & r2_tarski(E,k8_struct_0(B)) ) => k1_funct_1(k2_extpro_1(A,B,F,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(d1_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v1_amistd_2(C,A,B) <=> k2_amistd_1(A,B,C) = k10_xtuple_0(k2_compos_0(C)) ) ) ) ) )).
fof(d1_amistd_3,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_ordinal1) & v5_ordinal1(D) & v1_funct_1(D) ) => ( D = k1_amistd_3(A,B,C) <=> ( k9_xtuple_0(D) = k1_card_1(C) & ! [E] : ( r2_tarski(E,k1_card_1(C)) => k1_funct_1(D,E) = k1_funct_1(k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(C))),k1_wellord2(C)),E) ) ) ) ) ) ) ) )).
fof(d1_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v1_amistd_5(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => r6_pboole(u1_struct_0(B),k2_extpro_1(A,B,k8_compos_0(u1_compos_1(B),C,k2_xcmplx_0(D,E)),k9_memstr_0(A,B,F,E)),k9_memstr_0(A,B,k2_extpro_1(A,B,k8_compos_0(u1_compos_1(B),C,D),F),E)) ) ) ) ) ) ) ) )).
fof(d1_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & D = k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)) ) ) ) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(d1_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analoaf(A,B,C,D,E) <=> ~ ( B != C & D != E & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(G,k5_numbers) & k1_rlvect_1(A,k5_algstr_0(A,C,B),F) = k1_rlvect_1(A,k5_algstr_0(A,E,D),G) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_analort(A,B,C,D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k2_geomtrap(A,B,C,D)),k1_rlvect_1(A,C,k4_xcmplx_0(k3_geomtrap(A,B,C,D)))) ) ) ) ) )).
fof(d1_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_anproj_1(A,B,C) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & k1_rlvect_1(A,B,D) = k1_rlvect_1(A,C,E) & D != k5_numbers & E != k5_numbers ) ) ) ) ) ) )).
fof(d1_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_anproj_2(A,B,C,D) <=> ( ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ~ v9_struct_0(D,A) ) ) ) ) ) ) )).
fof(d1_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) => ! [B] : ( r1_aofa_000(A,B) <=> ! [C] : ! [D] : ( ( r2_tarski(k10_finseq_1(C,D),k9_xtuple_0(A)) | r2_tarski(k10_finseq_1(D,C),k9_xtuple_0(A)) ) => ( r2_tarski(k10_finseq_1(B,C),k9_xtuple_0(A)) & k1_funct_1(A,k10_finseq_1(B,C)) = C & r2_tarski(k10_finseq_1(C,B),k9_xtuple_0(A)) & k1_funct_1(A,k10_finseq_1(C,B)) = C ) ) ) ) )).
fof(d1_aofa_a00,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ! [C] : k2_aofa_a00(A,B,C) = k1_aofa_a00(A,k1_pboole(A),B,k1_tarski(C)) ) )).
fof(d1_aofa_i00,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) ) => ! [B] : ! [C] : k1_aofa_i00(A,B,C) = a_3_0_aofa_i00(A,B,C) ) )).
fof(d1_aofa_l00,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v1_aofa_l00(B,A) <=> r1_partfun1(A,B) ) ) ) )).
fof(d1_armstrng,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( C = k1_armstrng(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> r2_waybel_4(A,D,B) ) ) ) ) )).
fof(d1_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( B = k2_arrow(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_hidden(k4_tarski(D,E),C) | r2_hidden(k4_tarski(E,D),C) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( ( r2_hidden(k4_tarski(D,E),C) & r2_hidden(k4_tarski(E,F),C) ) => r2_hidden(k4_tarski(D,F),C) ) ) ) ) ) ) ) ) )).
fof(d1_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ( ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_arytm_2) ) => ( C = k1_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = D & B = E & C = k7_arytm_2(D,E) ) ) ) ) & ( ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) => ( C = k1_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = D & B = k4_tarski(k5_numbers,E) & C = k2_arytm_1(D,E) ) ) ) ) & ( ( r2_tarski(B,k2_arytm_2) & r2_tarski(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) => ( C = k1_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = k4_tarski(k5_numbers,D) & B = E & C = k2_arytm_1(E,D) ) ) ) ) & ~ ( ~ ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_arytm_2) ) & ~ ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) & ~ ( r2_tarski(B,k2_arytm_2) & r2_tarski(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) & ~ ( C = k1_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = k4_tarski(k5_numbers,D) & B = k4_tarski(k5_numbers,E) & C = k4_tarski(k5_numbers,k7_arytm_2(D,E)) ) ) ) ) ) ) ) ) )).
fof(d1_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(B,A) => ( C = k1_arytm_1(A,B) <=> k7_arytm_2(C,B) = A ) ) & ( ~ r1_arytm_2(B,A) => ( C = k1_arytm_1(A,B) <=> C = k11_arytm_3 ) ) ) ) ) ) )).
fof(d1_arytm_2,axiom,( k1_arytm_2 = k6_subset_1(a_0_0_arytm_2,k1_tarski(k5_arytm_3)) )).
fof(d1_arytm_3,axiom,( k1_arytm_3 = 1 )).
fof(d1_asympt_0,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_asympt_0(A) <=> ( ~ r1_xxreal_0(A,k5_numbers) & A != 1 ) ) ) )).
fof(d1_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k1_asympt_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => k8_nat_1(k1_numbers,D,E) = k2_power(A,k2_xcmplx_0(k3_xcmplx_0(B,E),C)) ) ) ) ) ) ) )).
fof(d1_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) => ( B = k1_autalg_1(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_tarski(C,B) <=> r4_alg_1(A,A,C) ) ) ) ) ) )).
fof(d1_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) => ( B = k1_autgroup(A) <=> ( ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),B) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_tarski(C,B) <=> ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(A)) ) ) ) ) ) ) ) )).
fof(d1_bagorder,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k7_nat_d(C,B)) & v1_funct_1(E) & v1_partfun1(E,k7_nat_d(C,B)) ) => ( E = k1_bagorder(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k7_nat_d(C,B)) => k1_funct_1(E,F) = k1_funct_1(D,k1_nat_1(B,F)) ) ) ) ) ) ) ) ) )).
fof(d1_ballot_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k4_finseq_2(k2_xcmplx_0(B,D),k2_tarski(A,C)))) => ( E = k1_ballot_1(A,B,C,D) <=> ! [F] : ( m2_finseq_2(F,k2_tarski(A,C),k4_finseq_2(k2_xcmplx_0(B,D),k2_tarski(A,C))) => ( r2_tarski(F,E) <=> k4_card_1(k8_relset_1(k4_ordinal1,k2_tarski(A,C),F,k1_tarski(A))) = B ) ) ) ) ) ) )).
fof(d1_bcialg_1,axiom,( ! [A] : ( l1_bcialg_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,C) = k4_binop_1(u1_struct_0(A),u1_bcialg_1(A),B,C) ) ) ) )).
fof(d1_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E = k1_bcialg_2(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & E = k8_nat_1(u1_struct_0(A),F,D) & k3_funct_2(k4_ordinal1,u1_struct_0(A),F,k5_numbers) = B & ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(D,G) => k3_funct_2(k4_ordinal1,u1_struct_0(A),F,k1_nat_1(G,1)) = k1_bcialg_1(A,k8_nat_1(u1_struct_0(A),F,G),C) ) ) ) ) ) ) ) ) ) )).
fof(d1_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v1_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)) = k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)) ) ) ) ) )).
fof(d1_bcialg_4,axiom,( ! [A] : ( l1_bcialg_4(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_4(A,B,C) = k4_binop_1(u1_struct_0(A),u1_bcialg_4(A),B,C) ) ) ) )).
fof(d1_bcialg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k1_bcialg_5(A,B,C,D,E) = k1_bcialg_2(A,k1_bcialg_2(A,B,k1_bcialg_1(A,B,C),k1_nat_1(D,1)),k1_bcialg_1(A,C,B),E) ) ) ) ) ) )).
fof(d1_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) => ( B = k1_bcialg_6(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k9_nat_1(u1_struct_0(A),B,C,k5_numbers) = k4_struct_0(A) & ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),B,C,k1_nat_1(D,1)) = k1_bcialg_1(A,C,k2_bcialg_1(A,k9_nat_1(u1_struct_0(A),B,C,D))) ) ) ) ) ) ) )).
fof(d1_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_bciideal(A,B) = a_2_0_bciideal(A,B) ) ) )).
fof(d1_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bhsp_1(A,B,C) = k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,u1_bhsp_1(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) )).
fof(d1_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k4_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,F),C)) ) ) ) ) ) ) ) ) )).
fof(d1_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k4_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,E),k8_nat_1(u1_struct_0(A),B,F))) ) ) ) ) ) ) ) ) )).
fof(d1_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k1_bhsp_4(A,B) <=> ( k3_funct_2(k4_ordinal1,u1_struct_0(A),C,k5_numbers) = k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k5_numbers) & ! [D] : ( v7_ordinal1(D) => k3_funct_2(k4_ordinal1,u1_struct_0(A),C,k1_nat_1(D,1)) = k1_algstr_0(A,k8_nat_1(u1_struct_0(A),C,D),k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(d1_bhsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A),u1_struct_0(A)) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k1_bhsp_6(A,B) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(D) & k2_relset_1(u1_struct_0(A),D) = B & C = k1_finsop_1(u1_struct_0(A),D,u1_algstr_0(A)) ) ) ) ) ) ) )).
fof(d1_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( l1_vectsp_1(B,A) => ! [C] : ( l1_vectsp_1(C,A) => k1_bilinear(A,B,C) = k8_funcop_1(u1_struct_0(A),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),k4_struct_0(A)) ) ) ) )).
fof(d1_binari_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ( B = k1_binari_2(A) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,B,C) = k16_funcop_1(k5_margrel1,C,1,k7_margrel1,k6_margrel1) ) ) ) ) ) )).
fof(d1_binari_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( C = k1_binari_3(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( r2_hidden(D,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,C,D) = k16_funcop_1(k5_margrel1,k4_nat_d(k3_nat_d(B,k5_series_1(2,k7_nat_d(D,1))),2),k5_numbers,k6_margrel1,k7_margrel1) ) ) ) ) ) ) )).
fof(d1_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k1_binari_4(A,B) <=> ( r1_xxreal_0(B,k5_series_1(2,C)) & r1_xxreal_0(A,C) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(B,k5_series_1(2,D)) & r1_xxreal_0(A,D) ) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) )).
fof(d1_binarith,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( C = k3_binarith(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( r2_hidden(D,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,C,D) = k8_margrel1(k7_partfun1(k5_margrel1,B,D)) ) ) ) ) ) ) )).
fof(d1_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k1_binom(A,B,C) <=> ( k1_relset_1(k4_ordinal1,D) = k1_relset_1(k4_ordinal1,B) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => k7_partfun1(u1_struct_0(A),D,E) = k1_algstr_0(A,k7_partfun1(u1_struct_0(A),B,E),k7_partfun1(u1_struct_0(A),C,E)) ) ) ) ) ) ) ) ) )).
fof(d1_binop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C)) ) )).
fof(d1_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k1_binop_2 <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k4_xcmplx_0(B) ) ) ) )).
fof(d1_bintree1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => k1_bintree1(A,B) = k1_funct_1(B,k1_xboole_0) ) ) )).
fof(d1_birkhoff,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),B,u3_msualg_1(A,C)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B)),u3_msualg_1(A,C)) => ( E = k1_birkhoff(A,B,C,D) <=> ( r1_msualg_3(A,k11_msafree(A,B),C,E) & r8_pboole(u1_struct_0(A),k1_msafree(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B)),u3_msualg_1(A,C),k13_msafree(A,B),E),k3_msualg_3(u1_struct_0(A),k13_msafree(A,B),B,u3_msualg_1(A,C),k15_msafree(A,B),D)) ) ) ) ) ) ) ) )).
fof(d1_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_boolealg(A,B,C) = k4_lattices(A,B,k7_lattices(A,C)) ) ) ) )).
fof(d1_boolmark,axiom,( ! [A] : ( l1_petri(A) => k1_boolmark(A) = k9_funct_2(u1_struct_0(A),k5_margrel1) ) )).
fof(d1_bor_cant,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k2_bor_cant(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k4_series_1(k4_sin_cos(k4_xcmplx_0(k1_funct_1(A,C)))) ) ) ) ) )).
fof(d1_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_connsp_2(E,B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) => ? [F] : ( m1_connsp_2(F,A,D) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) )).
fof(d1_borsuk_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_borsuk_2(A,B,C) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) & v5_pre_topc(D,k5_topmetr,A) & k1_funct_1(D,k5_numbers) = B & k1_funct_1(D,1) = C ) ) ) ) ) )).
fof(d1_borsuk_4,axiom,( ! [A] : ( ( v1_pre_topc(A) & m1_pre_topc(A,k5_topmetr) ) => ( A = k1_borsuk_4 <=> u1_struct_0(A) = k2_rcomp_1(k5_numbers,1) ) ) )).
fof(d1_borsuk_5,axiom,( k1_borsuk_5 = k6_subset_1(k1_numbers,k3_numbers) )).
fof(d1_borsuk_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_borsuk_6(A,B,C,D) = k1_partfun1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(C,D)),k4_treal_1(A,B,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1)),k3_treal_1(C,D,k1_treal_1(C,D),k2_treal_1(C,D))) ) ) ) ) )).
fof(d1_borsuk_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_borsuk_7(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(k30_valued_1(B),k9_xtuple_0(A)) & C = k1_funct_1(A,B) ) => k1_funct_1(A,k30_valued_1(B)) = k30_valued_1(C) ) ) ) ) ) )).
fof(d1_brouwer,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => k1_brouwer(A,B) = a_2_0_brouwer(A,B) ) ) )).
fof(d1_bspace,axiom,( ! [A] : ( l1_struct_0(A) => k1_bspace(A) = k6_finseq_1(k2_struct_0(A)) ) )).
fof(d1_bvfunc_1,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( r1_xxreal_0(A,B) <=> k6_xboolean(A,B) = k7_margrel1 ) ) ) )).
fof(d1_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ( C = k2_bvfunc_2(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A))) & k9_xtuple_0(E) = B & k10_xtuple_0(E) = F & ! [G] : ( r2_tarski(G,B) => r2_tarski(k1_funct_1(E,G),G) ) & D = k8_setfam_1(A,F) & D != k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d1_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_c0sp1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k4_algstr_0(A,C),B) ) ) ) ) ) )).
fof(d1_c0sp2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( v1_xreal_0(B) => k1_c0sp2(A,B) = k7_funcop_1(u1_struct_0(A),B) ) ) )).
fof(d1_calcul_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => ( C = k1_calcul_1(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( k3_finseq_1(B) = k1_nat_1(D,1) => r2_relset_1(k4_ordinal1,A,C,k2_partfun1(k4_ordinal1,A,B,k2_finseq_1(D))) ) ) ) ) & ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) => ( C = k1_calcul_1(A,B) <=> C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d1_calcul_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k1_calcul_2(A,B) = a_2_0_calcul_2(A,B) ) ) )).
fof(d1_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = k1_cantor_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) & r1_tarski(E,B) & D = k5_setfam_1(A,E) ) ) ) ) ) ) )).
fof(d1_card_1,axiom,( ! [A] : ( v1_card_1(A) <=> ? [B] : ( v3_ordinal1(B) & A = B & ! [C] : ( v3_ordinal1(C) => ( r2_wellord2(C,B) => r1_ordinal1(B,C) ) ) ) ) )).
fof(d1_card_2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => k1_card_2(A,B) = k1_card_1(k10_ordinal2(A,B)) ) ) )).
fof(d1_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_card_3(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => v1_card_1(k1_funct_1(A,B)) ) ) ) )).
fof(d1_card_5,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ( B = k1_card_5(A) <=> ( r2_ordinal2(A,B) & ! [C] : ( v1_card_1(C) => ( r2_ordinal2(A,C) => r1_ordinal1(B,C) ) ) ) ) ) ) )).
fof(d1_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( m1_card_fil(B,A) <=> ( ~ r2_tarski(k1_xboole_0,B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k9_subset_1(A,C,D),B) ) & ( ( r2_tarski(C,B) & r1_tarski(C,D) ) => r2_tarski(D,B) ) ) ) ) ) ) ) ) )).
fof(d1_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(A,k2_tarski(C,D)))) => ( E = k1_card_fin(A,B,C,D) <=> ! [F] : ( r2_tarski(F,E) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,A,k2_tarski(C,D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k2_tarski(C,D)))) & G = F & k4_card_1(k8_relset_1(A,k2_tarski(C,D),G,k1_tarski(C))) = B ) ) ) ) ) ) )).
fof(d1_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( r1_card_lar(A,B) <=> ( r1_tarski(B,A) & k3_ordinal2(B) = A ) ) ) )).
fof(d1_cardfin2,axiom,( ! [A] : ( v1_xreal_0(A) => k1_cardfin2(A) = k1_int_1(k2_xcmplx_0(A,k7_xcmplx_0(1,2))) ) )).
fof(d1_cat_1,axiom,( ! [A] : ( l1_cat_1(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_hidden(k4_tarski(C,B),k9_xtuple_0(u1_cat_1(A))) => k1_cat_1(A,B,C) = k1_binop_1(u1_cat_1(A),C,B) ) ) ) ) )).
fof(d1_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k1_cat_2(A,B,C) = k8_funcop_1(u4_struct_0(B),u4_struct_0(A),k4_cat_1(B,C)) ) ) ) )).
fof(d1_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( D = k2_cat_3(A,B,C) <=> ! [E] : ( r2_tarski(E,B) => k7_partfun1(u1_struct_0(A),D,E) = k3_graph_1(A,k7_partfun1(u4_struct_0(A),C,E)) ) ) ) ) ) )).
fof(d1_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_cat_1(A,B,C) <=> ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,B) != k1_xboole_0 & ? [D] : ( m1_cat_1(D,A,B,C) & ? [E] : ( m1_cat_1(E,A,C,B) & k5_cat_1(A,C,B,C,E,D) = k4_cat_1(A,C) & k5_cat_1(A,B,C,B,D,E) = k4_cat_1(A,B) ) ) ) ) ) ) ) )).
fof(d1_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ( v1_cat_5(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ? [C] : B = k4_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k3_graph_1(A,B),k4_graph_1(A,B)),C) ) ) ) )).
fof(d1_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => k1_cat_6(A) = u1_struct_0(A) ) )).
fof(d1_cat_7,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => k1_cat_7(A,B,C) = a_3_0_cat_7(A,B,C) ) ) ) )).
fof(d1_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_catalan1(A) = k7_xcmplx_0(k4_newton(k7_nat_d(A,1),k7_nat_d(k3_xcmplx_0(2,A),2)),A) ) )).
fof(d1_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( v1_catalan2(A) <=> ( r1_tarski(k2_relset_1(k4_ordinal1,A),k7_domain_1(k4_ordinal1,k5_numbers,1)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k1_relset_1(k4_ordinal1,A)) => r1_xxreal_0(k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(A,B))),B) ) ) ) ) ) )).
fof(d1_catalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_funcop_1(D) ) => ( D = k1_catalg_1(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k5_relat_1(C,k1_funct_1(B,E)) ) ) ) ) ) )).
fof(d1_cayley,axiom,( ! [A] : k1_cayley(A) = a_1_0_cayley(A) )).
fof(d1_cc0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v2_cfuncdom(B) & l1_cfuncdom(B) ) => ( m1_cc0sp1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) & u1_clvect_1(B) = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(B))) & k5_struct_0(B) = k5_struct_0(A) & k4_struct_0(B) = k4_struct_0(A) ) ) ) ) )).
fof(d1_cc0sp2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ( v1_cc0sp2(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_numbers)) => ( v5_cfdiff_1(C) => v4_pre_topc(k8_relset_1(u1_struct_0(A),k2_numbers,B,C),A) ) ) ) ) ) )).
fof(d1_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( v1_xcmplx_0(B) => ( r1_cfcont_1(A,B) <=> ( r2_hidden(B,k1_relset_1(k2_numbers,A)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( r1_tarski(k2_relset_1(k2_numbers,C),k1_relset_1(k2_numbers,A)) & v2_comseq_2(C) & k3_comseq_2(C) = B ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,C,A)) & k7_partfun1(k2_numbers,A,B) = k3_comseq_2(k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,C,A)) ) ) ) ) ) ) ) )).
fof(d1_cfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_cfdiff_1(B,A) <=> ( v2_comseq_2(B) & k3_comseq_2(B) = A ) ) ) ) )).
fof(d1_cfuncdom,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)))) ) => ( B = k1_cfuncdom(A) <=> ! [C] : ( m2_funct_2(C,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [D] : ( m2_funct_2(D,A,k2_numbers,k9_funct_2(A,k2_numbers)) => r2_funct_2(A,k2_numbers,k1_funcsdom(A,k2_numbers,B,C,D),k3_funcsdom(k2_numbers,A,k3_binop_2,C,D)) ) ) ) ) )).
fof(d1_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( D = k1_cfunct_1(A,B,C) <=> ( k1_relset_1(A,D) = k9_subset_1(A,k1_relset_1(A,B),k7_subset_1(A,k1_relset_1(A,C),k8_relset_1(A,k2_numbers,C,k1_tarski(k5_numbers)))) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k7_partfun1(k2_numbers,D,E) = k3_xcmplx_0(k7_partfun1(k2_numbers,B,E),k5_xcmplx_0(k7_partfun1(k2_numbers,C,E))) ) ) ) ) ) ) ) ) )).
fof(d1_cgames_1,axiom,( k1_cgames_1 = g1_cgames_1(k1_xboole_0,k1_xboole_0) )).
fof(d1_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => k1_chord(A,B) = k10_xtuple_0(k1_graph_2(A,B,k3_finseq_1(A))) ) ) )).
fof(d1_circcomb,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( l1_msualg_1(B) => ( r1_circcomb(A,B) <=> ( r1_partfun1(u1_msualg_1(A),u1_msualg_1(B)) & r1_partfun1(u2_msualg_1(A),u2_msualg_1(B)) ) ) ) ) )).
fof(d1_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_rltopsp1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k9_complex1(D),1) & r2_tarski(C,B) ) => r2_tarski(k1_rlvect_1(A,C,D),B) ) ) ) ) ) ) )).
fof(d1_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => k1_circtrm1(A,B,C) = g1_msualg_1(k9_trees_9(C),k12_trees_9(C,k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))),k13_trees_9(C,k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))),k6_funct_3(k9_trees_9(C),k12_trees_9(C,k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))))) ) ) ) )).
fof(d1_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k1_msafree2(A)) & v1_funct_1(C) & v1_partfun1(C,k1_msafree2(A)) ) => ( C = k1_circuit1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_relset_1(k1_msafree2(A),C)) => r2_tarski(k1_funct_1(C,D),k1_msualg_2(A,B,D)) ) ) ) ) ) ) )).
fof(d1_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msafree2(C,A,B) => ! [D] : ( m2_pboole(D,u1_struct_0(A),k13_msafree(A,u3_msualg_1(A,B)),u3_msualg_1(A,k5_msafree2(A,B))) => ( D = k2_circuit2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(E,k2_msafree2(A)) => r1_funct_2(k1_funct_1(k13_msafree(A,u3_msualg_1(A,B)),E),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),E),k12_msafree(A,u3_msualg_1(A,B),E),k1_tarski(k1_trees_4(k4_tarski(k1_funct_1(C,E),E))),k1_msualg_3(u1_struct_0(A),k13_msafree(A,u3_msualg_1(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),D,E),k7_funcop_1(k12_msafree(A,u3_msualg_1(A,B),E),k1_trees_4(k4_tarski(k1_funct_1(C,E),E)))) ) & ( r2_tarski(E,k1_msafree2(A)) => r1_funct_2(k1_funct_1(k13_msafree(A,u3_msualg_1(A,B)),E),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),E),k12_msafree(A,u3_msualg_1(A,B),E),k1_tarski(k1_trees_4(k4_tarski(k4_msafree2(A,E),u1_struct_0(A)))),k1_msualg_3(u1_struct_0(A),k13_msafree(A,u3_msualg_1(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),D,E),k7_funcop_1(k12_msafree(A,u3_msualg_1(A,B),E),k1_trees_4(k4_tarski(k4_msafree2(A,E),u1_struct_0(A))))) ) & ( r2_tarski(E,k7_subset_1(u1_struct_0(A),k3_msafree2(A),k1_msafree2(A))) => k1_msualg_3(u1_struct_0(A),k13_msafree(A,u3_msualg_1(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),D,E) = k6_partfun1(k12_msafree(A,u3_msualg_1(A,B),E)) ) ) ) ) ) ) ) ) )).
fof(d1_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( r1_ckspace1(A,B,C,D) <=> ( r1_tarski(D,k1_relset_1(k1_euclid(A),B)) & r5_pdiff_9(A,B,C,D) & ! [E] : ( ( ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( r1_xxreal_0(k3_finseq_1(E),C) & r1_tarski(k2_relset_1(k4_ordinal1,E),k2_finseq_1(A)) ) => r1_pdiff_9(A,D,k5_pdiff_9(A,D,E,B)) ) ) ) ) ) ) ) )).
fof(d1_classes1,axiom,( ! [A] : ( v1_classes1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r1_tarski(C,B) ) => r2_tarski(C,A) ) ) )).
fof(d1_clopban1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))))) ) => ( C = k2_clopban1(A,B) <=> ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( m2_funct_2(E,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,A) => k1_funct_1(k1_funct_1(C,k4_tarski(D,E)),F) = k1_clvect_1(B,k3_funct_2(A,u1_struct_0(B),E,F),D) ) ) ) ) ) ) ) )).
fof(d1_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => k2_clopban2(A,B,C) = k4_binop_1(k8_clopban1(A,A),k6_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),B,C) ) ) ) )).
fof(d1_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clopban3(B,A) <=> v9_clvect_1(k1_bhsp_4(A,B),A) ) ) ) )).
fof(d1_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k1_clopban4(A,B) <=> ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,C,D) = k1_clvect_1(A,k3_clopban3(A,B,D),k7_xcmplx_0(k6_complex1,k2_newton(D))) ) ) ) ) ) )).
fof(d1_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( v1_closure1(C,A,B) <=> ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => r2_pboole(A,D,k2_closure1(A,B,C,D)) ) ) ) ) )).
fof(d1_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( C = k1_closure2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> m3_pboole(D,A,B) ) ) ) )).
fof(d1_closure3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k1_closure3(A,B) = a_2_0_closure3(A,B) ) ) )).
fof(d1_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xcmplx_0(C) => k1_clvect_1(A,B,C) = k1_funct_1(u1_clvect_1(A),k4_tarski(C,B)) ) ) ) )).
fof(d1_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k13_csspace(A,k8_nat_1(u1_struct_0(A),B,F),C)) ) ) ) ) ) ) ) ) )).
fof(d1_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_3(B,A) <=> v1_clvect_2(k1_bhsp_4(A,B),A) ) ) ) )).
fof(d1_coh_sp,axiom,( ! [A] : ( v1_coh_sp(A) <=> ! [B] : ( ( r1_tarski(B,A) & ! [C] : ! [D] : ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k2_xboole_0(C,D),A) ) ) => r2_tarski(k3_tarski(B),A) ) ) )).
fof(d1_cohsp_1,axiom,( ! [A] : ( v1_coh_sp(A) <=> ! [B] : ( ! [C] : ! [D] : ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k2_xboole_0(C,D),A) ) => r2_tarski(k3_tarski(B),A) ) ) )).
fof(d1_collsp,axiom,( ! [A] : ! [B] : ( m1_collsp(B,A) <=> r1_tarski(B,k3_zfmisc_1(A,A,A)) ) )).
fof(d1_combgras,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | ! [C] : ( ( v1_incsp_1(C) & v5_incsp_1(C) & v7_incsp_1(C) & l1_incsp_1(C) ) => ( C = k1_combgras(A,B) <=> ( u1_incsp_1(C) = a_2_0_combgras(A,B) & u2_incsp_1(C) = a_2_1_combgras(A,B) & u3_incsp_1(C) = k3_xboole_0(k1_wellord2(k9_setfam_1(B)),k2_zfmisc_1(u1_incsp_1(C),u2_incsp_1(C))) ) ) ) ) ) ) ) )).
fof(d1_commacat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,C) => ! [E] : ( m2_cat_1(E,B,C) => ( ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( m1_subset_1(H,u4_struct_0(C)) & r2_tarski(H,k2_cat_1(C,k8_cat_1(A,C,D,F),k8_cat_1(B,C,E,G))) ) ) ) => k1_commacat(A,B,C,D,E) = a_5_0_commacat(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d1_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v1_compl_sp(B,A) <=> ! [C] : ( v7_ordinal1(C) => v6_tbsp_1(k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(d1_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( r2_hidden(A,k1_numbers) => ( B = k1_complex1(A) <=> B = A ) ) & ( ~ r2_hidden(A,k1_numbers) => ( B = k1_complex1(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,2,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(2,k1_numbers))) & A = C & B = k1_funct_1(C,k5_numbers) ) ) ) ) ) )).
fof(d1_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k1_complex2(A,B) = k3_xcmplx_0(A,k8_complex1(B)) ) ) )).
fof(d1_complfld,axiom,( ! [A] : ( ( v36_algstr_0(A) & l6_algstr_0(A) ) => ( A = k1_complfld <=> ( u1_struct_0(A) = k2_numbers & u1_algstr_0(A) = k3_binop_2 & u2_algstr_0(A) = k5_binop_2 & k5_struct_0(A) = k6_complex1 & k4_struct_0(A) = k5_complex1 ) ) ) )).
fof(d1_complsp1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k1_complsp1(A) = g1_pre_topc(k12_seq_4(A),k25_seq_4(A)) ) )).
fof(d1_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ( B = k1_complsp2(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k9_matrix_5(B,C) = k8_complex1(k9_matrix_5(A,C)) ) ) ) ) ) ) )).
fof(d1_compos_0,axiom,( ! [A] : ( v1_compos_0(A) <=> ? [B] : ( ~ v1_xboole_0(B) & r1_tarski(A,k3_zfmisc_1(k4_ordinal1,k13_finseq_1(k4_ordinal1),k13_finseq_1(B))) ) ) )).
fof(d1_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => k1_compos_2(A,B,C) = k8_compos_1(A,k11_compos_1(A,B),C) ) ) ) )).
fof(d1_comptrig,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( A != k5_numbers => ( B = k1_comptrig(A) <=> ( A = k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A),k19_sin_cos(B)),k3_xcmplx_0(k3_xcmplx_0(k9_complex1(A),k17_sin_cos(B)),k7_complex1)) & r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),B) ) ) ) & ( A = k5_numbers => ( B = k1_comptrig(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d1_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_compts_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( m1_setfam_1(B,u1_struct_0(A)) & v1_tops_2(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(C,B) & m1_setfam_1(C,u1_struct_0(A)) & v1_finset_1(C) ) ) ) ) ) ) )).
fof(d1_comput_1,axiom,( ! [A] : ( v1_comput_1(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r1_partfun1(B,C) ) ) ) ) )).
fof(d1_comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( B = k1_comseq_3(A) <=> ( k8_nat_1(k2_numbers,B,k5_numbers) = k6_complex1 & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,B,k1_nat_1(C,1)) = k3_xcmplx_0(k8_nat_1(k2_numbers,B,C),A) ) ) ) ) ) )).
fof(d1_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v1_conaffm(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r5_analmetr(A,B,C,D) & r5_analmetr(A,B,E,F) & r5_analmetr(A,B,G,H) & r2_analoaf(A,C,E,D,F) & r2_analoaf(A,C,G,D,H) ) => ( B = C | B = D | B = E | B = F | B = G | B = H | r5_analmetr(A,E,F,C) | r5_analmetr(A,C,D,G) | r2_analoaf(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => k1_conlat_2(A,B) = B ) ) )).
fof(d1_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v1_conmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_hidden(B,I) & r2_hidden(C,I) & r2_hidden(D,I) & r2_hidden(E,I) & r2_hidden(B,J) & r2_hidden(F,J) & r2_hidden(G,J) & r2_hidden(H,J) & r10_analmetr(A,I,J) & r2_analoaf(A,E,G,D,F) & r2_analoaf(A,E,H,C,F) ) => ( r2_hidden(G,I) | r2_hidden(E,J) | B = C | B = D | B = E | B = F | B = G | B = H | r2_analoaf(A,C,G,D,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_connsp_1(A,B,C) <=> ( r1_xboole_0(k2_pre_topc(A,B),C) & r1_xboole_0(B,k2_pre_topc(A,C)) ) ) ) ) ) )).
fof(d1_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m1_connsp_2(C,A,B) <=> r2_tarski(B,k1_tops_1(A,C)) ) ) ) ) )).
fof(d1_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_connsp_3(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) <=> ( v2_connsp_1(E,A) & r1_tarski(B,E) ) ) ) & k5_setfam_1(u1_struct_0(A),D) = C ) ) ) ) ) )).
fof(d1_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => k1_convex1(A,B,C) = a_3_0_convex1(A,B,C) ) ) ) )).
fof(d1_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( B = k1_convex3(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v2_convex1(C,A) & m1_rlvect_2(C,A) ) ) ) ) )).
fof(d1_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k2_numbers,k9_funct_2(u1_struct_0(A),k2_numbers)) => ( m1_convex4(B,A) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r2_tarski(D,C) => k3_funct_2(u1_struct_0(A),k2_numbers,B,D) = k5_numbers ) ) ) ) ) ) )).
fof(d1_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) => ( C = k1_convfun1(A,B) <=> ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ( ( D = k1_domain_1(u1_struct_0(A),u1_struct_0(B),F,H) & E = k1_domain_1(u1_struct_0(A),u1_struct_0(B),G,I) ) => k4_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),C,D,E) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_algstr_0(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),F,G)),k3_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B),u1_algstr_0(B),k1_domain_1(u1_struct_0(B),u1_struct_0(B),H,I))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_qc_lang1(A)) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A),k2_qc_lang1(A)))) ) => ! [D] : ( m2_finseq_1(D,k2_qc_lang1(A)) => ( D = k1_cqc_lang(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ( ( r2_tarski(k1_funct_1(B,E),k9_xtuple_0(C)) => k1_funct_1(D,E) = k1_funct_1(C,k1_funct_1(B,E)) ) & ( ~ r2_tarski(k1_funct_1(B,E),k9_xtuple_0(C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v1_cqc_the1(B,A) <=> ( r2_tarski(k5_cqc_lang(A),B) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,C),C),C),B) & r2_tarski(k8_cqc_lang(A,C,k8_cqc_lang(A,k6_cqc_lang(A,C),D)),B) & r2_tarski(k8_cqc_lang(A,k8_cqc_lang(A,C,D),k8_cqc_lang(A,k6_cqc_lang(A,k7_cqc_lang(A,D,E)),k6_cqc_lang(A,k7_cqc_lang(A,C,E)))),B) & r2_tarski(k8_cqc_lang(A,k7_cqc_lang(A,C,D),k7_cqc_lang(A,D,C)),B) & ( ( r2_tarski(C,B) & r2_tarski(k8_cqc_lang(A,C,D),B) ) => r2_tarski(D,B) ) & r2_tarski(k8_cqc_lang(A,k11_cqc_lang(A,G,C),C),B) & ( r2_tarski(k8_cqc_lang(A,C,D),B) => ( r2_tarski(G,k24_qc_lang1(A,C)) | r2_tarski(k8_cqc_lang(A,C,k11_cqc_lang(A,G,D)),B) ) ) & ( ( r2_tarski(k13_cqc_lang(A,F,G),k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A,F,H),k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A,F,G),B) ) => ( r2_tarski(G,k24_qc_lang1(A,F)) | r2_tarski(k13_cqc_lang(A,F,H),B) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_cqc_the3(A,B,C) <=> r3_cqc_the1(A,k6_domain_1(k3_cqc_lang(A),B),C) ) ) ) ) )).
fof(d1_csspace,axiom,( k1_csspace = k9_funct_2(k4_ordinal1,k2_numbers) )).
fof(d1_csspace3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_csspace))) => ( A = k1_csspace3 <=> ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,k1_csspace) & v2_comseq_3(k2_csspace(B)) ) ) ) ) )).
fof(d1_csspace4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_csspace))) => ( A = k1_csspace4 <=> ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,k1_csspace) & v1_comseq_2(k2_csspace(B)) ) ) ) ) )).
fof(d1_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_decomp_1(B,A) <=> r1_tarski(B,k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,B)))) ) ) ) )).
fof(d1_descip_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k6_descip_1(A) = k7_finseq_1(k1_rfinseq(1,A),k9_finseq_1(k1_funct_1(A,1))) ) )).
fof(d1_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( C = k1_diff_1(A,B) <=> ( k1_relset_1(k1_numbers,C) = k1_measure6(k1_relset_1(k1_numbers,A),k4_xcmplx_0(B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k1_measure6(k1_relset_1(k1_numbers,A),k4_xcmplx_0(B))) => k1_funct_1(C,D) = k1_funct_1(A,k2_xcmplx_0(D,B)) ) ) ) ) ) ) ) )).
fof(d1_diff_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k1_diff_2(A,B,C,D,E,F) = k7_xcmplx_0(k6_xcmplx_0(k11_diff_1(A,B,C,D,E),k11_diff_1(A,C,D,E,F)),k6_xcmplx_0(B,F)) ) ) ) ) ) ) )).
fof(d1_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_dilworth(B,A) <=> r6_relat_2(u1_orders_2(A),B) ) ) ) )).
fof(d1_diraf,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( C = k1_diraf(A,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(k1_domain_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A),k1_domain_1(A,A,D,E),k1_domain_1(A,A,F,G)),C) <=> ( r2_tarski(k1_domain_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A),k1_domain_1(A,A,D,E),k1_domain_1(A,A,F,G)),B) | r2_tarski(k1_domain_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A),k1_domain_1(A,A,D,E),k1_domain_1(A,A,G,F)),B) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analmetr(A) ) => ( v1_dirort(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r4_analmetr(A,B,B,D,F) & r4_analmetr(A,B,D,F,F) & ~ ( r4_analmetr(A,B,D,C,E) & r4_analmetr(A,B,D,E,C) & B != D & C != E ) & ~ ( r4_analmetr(A,B,D,C,E) & r4_analmetr(A,B,D,C,F) & ~ r4_analmetr(A,B,D,E,F) & ~ r4_analmetr(A,B,D,F,E) ) & ( r4_analmetr(A,B,D,C,E) => r4_analmetr(A,D,B,E,C) ) & ( ( r4_analmetr(A,B,D,C,E) & r4_analmetr(A,B,D,E,F) ) => r4_analmetr(A,B,D,C,F) ) & ~ ( r4_analmetr(A,B,C,D,E) & ~ r4_analmetr(A,D,E,B,C) & ~ r4_analmetr(A,D,E,C,B) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D != E & r4_analmetr(A,D,E,B,C) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D != E & r4_analmetr(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(d1_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : k2_dist_1(A,B,C) = k4_card_1(k1_dist_1(A,B,C)) ) ) )).
fof(d1_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,A) => k1_dist_2(A,B) = k4_finseq_4(k19_finseq_1(A),B) ) ) )).
fof(d1_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_trees_3(u1_struct_0(A)))) => ( B = k4_dtconstr(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_lang1(A)) => r2_tarski(k2_trees_4(u1_struct_0(A),C),B) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(A)),B) => ( r1_lang1(A,C,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),D)) => r2_tarski(k8_trees_4(u1_struct_0(A),C,D),B) ) ) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k5_trees_3(u1_struct_0(A)))) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_lang1(A)) => r2_tarski(k2_trees_4(u1_struct_0(A),D),C) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(A)),C) => ( r1_lang1(A,D,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),E)) => r2_tarski(k8_trees_4(u1_struct_0(A),D,E),C) ) ) ) ) => r1_tarski(B,C) ) ) ) ) ) ) )).
fof(d1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k1_dualsp01(A) = u1_rlvect_1(A) ) )).
fof(d1_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) => ( C = k1_dualsp02(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k17_dualsp01(A))) => k18_dualsp01(k17_dualsp01(A),C,D) = k18_dualsp01(A,D,B) ) ) ) ) ) )).
fof(d1_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k2_dynkin(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => k8_nat_1(k9_setfam_1(A),D,E) = k9_subset_1(A,C,k8_nat_1(k9_setfam_1(A),B,E)) ) ) ) ) ) ) )).
fof(d1_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => ( v2_e_siec(A) <=> ( r1_tarski(u1_e_siec(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & r1_tarski(u2_e_siec(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & k3_relat_1(u1_e_siec(A),u1_e_siec(A)) = u1_e_siec(A) & k3_relat_1(u1_e_siec(A),u2_e_siec(A)) = u1_e_siec(A) & k3_relat_1(u2_e_siec(A),u2_e_siec(A)) = u2_e_siec(A) & k3_relat_1(u2_e_siec(A),u1_e_siec(A)) = u2_e_siec(A) ) ) ) )).
fof(d1_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( m1_ec_pf_1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) & k5_struct_0(B) = k5_struct_0(A) & k4_struct_0(B) = k4_struct_0(A) ) ) ) ) )).
fof(d1_ec_pf_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( v1_ec_pf_2(B,A) <=> r1_xxreal_0(A,B) ) ) ) )).
fof(d1_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) => ( B = k1_endalg(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_tarski(C,B) <=> r1_alg_1(A,A,C) ) ) ) ) ) )).
fof(d1_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_ens_1(A) = k3_tarski(a_1_0_ens_1(A)) ) )).
fof(d1_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v4_partfun3(A) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => r1_xxreal_0(k5_numbers,k1_funct_1(A,B)) ) ) ) ) )).
fof(d1_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( D = k1_enumset1(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ~ ( E != A & E != B & E != C ) ) ) )).
fof(d1_eqrel_1,axiom,( ! [A] : k1_eqrel_1(A) = k2_zfmisc_1(A,A) )).
fof(d1_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k1_equation(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k8_relat_1(k1_funct_1(C,E),k1_funct_1(B,E)) ) ) ) ) ) )).
fof(d1_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k1_euclid(A) = k4_finseq_2(A,k1_numbers) ) )).
fof(d1_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k1_euclid10(A,B,C) = k7_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,B)),k12_euclid(k5_algstr_0(k15_euclid(2),B,C))),k12_euclid(k5_algstr_0(k15_euclid(2),C,A))),2),k1_euclid_6(A,B,C)) ) ) ) )).
fof(d1_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k1_euclid_3(A) = k19_euclid(k3_complex1(A),k4_complex1(A)) ) )).
fof(d1_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k1_euclid_4(A,B,C) = a_3_0_euclid_4(A,B,C) ) ) ) )).
fof(d1_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => k1_euclid_5(A) = k1_funct_1(A,1) ) )).
fof(d1_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k1_euclid_6(A,B,C) = k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k17_euclid(A),k18_euclid(B)),k3_xcmplx_0(k17_euclid(B),k18_euclid(A))),k6_xcmplx_0(k3_xcmplx_0(k17_euclid(B),k18_euclid(C)),k3_xcmplx_0(k17_euclid(C),k18_euclid(B)))),k6_xcmplx_0(k3_xcmplx_0(k17_euclid(C),k18_euclid(A)),k3_xcmplx_0(k17_euclid(A),k18_euclid(C)))),2) ) ) ) )).
fof(d1_euclid_8,axiom,( k2_euclid_8 = k1_euclid_8(1,k5_numbers,k5_numbers) )).
fof(d1_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v3_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v3_valued_0(C) ) => k1_euclid_9(A,B,C) = o_3_0_euclid_9(A,B,C) ) ) ) )).
fof(d1_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ( r1_euclidlp(A,B,C) <=> ( B != k5_euclid(A) & C != k5_euclid(A) & ? [D] : ( v1_xreal_0(D) & B = k9_euclid(A,C,D) ) ) ) ) ) ) )).
fof(d1_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_euler_1(A) = k1_card_1(a_1_0_euler_1(A)) ) )).
fof(d1_euler_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( C = k2_euler_2(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => k1_recdef_1(C,D) = k4_nat_d(k1_recdef_1(A,D),B) ) ) ) ) ) ) ) )).
fof(d1_exchsort,axiom,( ! [A] : ( v1_exchsort(A) <=> ? [B] : ( v3_ordinal1(B) & ? [C] : ( v3_ordinal1(C) & k9_xtuple_0(A) = k6_subset_1(B,C) ) ) ) )).
fof(d1_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v1_extpro_1(B,A) & l1_extpro_1(B,A) ) => ( B = k1_extpro_1(A) <=> ( u1_struct_0(B) = k6_domain_1(k4_ordinal1,k5_numbers) & u2_struct_0(B) = k5_numbers & u1_compos_1(B) = k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)) & u1_memstr_0(A,B) = k17_funcop_1(k5_numbers,k5_numbers) & u2_memstr_0(A,B) = k7_funcop_1(A,k4_ordinal1) & u1_extpro_1(A,B) = k17_funcop_1(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k6_partfun1(k4_card_3(k3_relat_1(k17_funcop_1(k5_numbers,k5_numbers),k7_funcop_1(A,k4_ordinal1))))) ) ) ) ) )).
fof(d1_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( ( r1_xxreal_0(k5_numbers,A) => k3_extreal1(A) = A ) & ( ~ r1_xxreal_0(k5_numbers,A) => k3_extreal1(A) = k2_xxreal_3(A) ) ) ) )).
fof(d1_facirc_2,axiom,( ! [A] : ! [B] : ( ( v11_struct_0(B) & v1_msualg_1(B) & l1_msualg_1(B) ) => ( B = k1_facirc_2(A) <=> u1_struct_0(B) = k1_tarski(A) ) ) )).
fof(d1_fcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_fcont_1(A,B) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_tarski(k2_relset_1(k1_numbers,C),k1_relset_1(k1_numbers,A)) & v2_comseq_2(C) & k1_seq_2(C) = B ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) & k1_funct_1(A,B) = k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d1_fcont_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_fcont_2(A) <=> ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(D,k1_relset_1(k1_numbers,A)) & r2_hidden(E,k1_relset_1(k1_numbers,A)) & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,E))) & r1_xxreal_0(B,k9_complex1(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,E)))) ) ) ) ) ) ) ) ) ) )).
fof(d1_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_fdiff_1(B,A) <=> ( v2_comseq_2(B) & k1_seq_2(B) = A ) ) ) ) )).
fof(d1_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_fdiff_3(A,B) <=> ( r2_hidden(B,k1_relset_1(k1_numbers,A)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_tarski(k10_xtuple_0(C),k9_subset_1(k1_numbers,k10_prob_1(B),k1_relset_1(k1_numbers,A))) & v2_comseq_2(C) & k1_seq_2(C) = B ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) & k1_funct_1(A,B) = k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) ) )).
fof(d1_fdiff_9,axiom,( k1_fdiff_9 = k6_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos) )).
fof(d1_ff_siec,axiom,( ! [A] : ! [B] : ( r1_xboole_0(A,B) => k1_ff_siec(A,B) = g1_petri(A,B,k1_partit_2(A,B),k1_partit_2(B,A)) ) )).
fof(d1_fib_fusc,axiom,( k1_fib_fusc = k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(k9_ami_3(2,k10_ami_3(1))),k5_afinsq_1(k2_compos_1(k1_ami_3))),k5_afinsq_1(k2_ami_3(k10_ami_3(3),k10_ami_3(k5_numbers)))),k5_afinsq_1(k4_ami_3(k10_ami_3(1),k10_ami_3(k5_numbers)))),k5_afinsq_1(k8_ami_3(1,k10_ami_3(1)))),k5_afinsq_1(k2_ami_3(k10_ami_3(4),k10_ami_3(2)))),k5_afinsq_1(k2_ami_3(k10_ami_3(2),k10_ami_3(3)))),k5_afinsq_1(k3_ami_3(k10_ami_3(3),k10_ami_3(4)))),k5_afinsq_1(k7_ami_3(3))) )).
fof(d1_fib_num,axiom,( k1_fib_num = k7_xcmplx_0(k2_xcmplx_0(1,k3_square_1(5)),2) )).
fof(d1_fib_num2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [B] : ( ( v1_finset_1(B) & v1_setfam_1(B) & v6_membered(B) ) => k1_fib_num2(A,B) = k15_finseq_1(k5_relat_1(A,B)) ) ) )).
fof(d1_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k1_fib_num3(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & B = k2_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,A)) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,k5_numbers) = k1_domain_1(k4_ordinal1,k4_ordinal1,2,1) & ! [D] : ( v7_ordinal1(D) => k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,k1_nat_1(D,1)) = k1_domain_1(k4_ordinal1,k4_ordinal1,k3_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,D)),k1_nat_1(k2_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,D)),k3_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,D)))) ) ) ) ) ) )).
fof(d1_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_finseq_1(B,A) => ! [C] : ( m1_finseq_1(C,A) => ! [D] : ( m1_finseq_1(D,A) => ( r1_filerec1(A,B,C,D) <=> ( ( r2_finseq_8(A,k8_finseq_8(A,C,D),k8_finseq_1(A,D,B),1) | r1_tarski(B,k8_finseq_8(A,C,D)) ) & r5_finseq_8(A,B,D) ) ) ) ) ) ) )).
fof(d1_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k1_filter_0(A) = u1_struct_0(A) ) )).
fof(d1_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( m1_filter_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(k1_domain_1(A,A,D,E),B) => r2_tarski(k1_domain_1(A,A,k3_funct_2(A,A,C,D),k3_funct_2(A,A,C,E)),B) ) ) ) ) ) ) ) )).
fof(d1_filter_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_filter_2(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,B) <=> r2_tarski(D,C) ) ) ) ) ) ) )).
fof(d1_fin_topo,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_fin_topo(A,B) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),B) ) ) )).
fof(d1_finance1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( C = k2_finance1(A,B) <=> ( k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),C,k5_numbers) = k1_finance1(A,k2_xcmplx_0(B,1)) & ! [D] : ( v7_ordinal1(D) => k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),C,k1_nat_1(D,1)) = k1_finance1(A,k2_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(D,1)))) ) ) ) ) ) ) )).
fof(d1_finance2,axiom,( k1_finance2 = a_0_0_finance2 )).
fof(d1_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_finseq_1(A) = a_1_0_finseq_1(A) ) )).
fof(d1_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => k1_finseq_2(A) = k6_partfun1(k1_finseq_1(A)) ) )).
fof(d1_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : k1_finseq_3(A,B) = k3_relat_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k1_relset_1(k4_ordinal1,A),k8_relat_1(A,B))),A) ) )).
fof(d1_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r1_finseq_4(A,B) <=> k8_relat_1(A,k9_relat_1(A,B)) = k1_tarski(B) ) ) )).
fof(d1_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : k1_finseq_5(A,B,C) = k17_finseq_1(A,k4_finseq_4(B,C),B) ) ) )).
fof(d1_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v1_finseq_6(B,A) <=> k7_partfun1(A,B,1) = k7_partfun1(A,B,k3_finseq_1(B)) ) ) ) )).
fof(d1_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,A) => ( ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => k1_finseq_7(A,B,C,D) = k8_finseq_1(A,k8_finseq_1(A,k17_finseq_1(A,k7_nat_d(C,1),B),k12_finseq_1(A,D)),k2_rfinseq(A,C,B)) ) & ( ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => k1_finseq_7(A,B,C,D) = B ) ) ) ) ) ) )).
fof(d1_finseq_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_finseq_8(A,B,C) = k16_finseq_1(k7_nat_d(k1_nat_1(C,1),B),k1_rfinseq(k7_nat_d(B,1),A)) ) ) ) )).
fof(d1_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r1_finseqop(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ( k4_binop_1(A,C,D,k3_funct_2(A,A,B,D)) = k3_binop_1(A,C) & k4_binop_1(A,C,k3_funct_2(A,A,B,D),D) = k3_binop_1(A,C) ) ) ) ) ) ) )).
fof(d1_finset_1,axiom,( ! [A] : ( v1_finset_1(A) <=> ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k10_xtuple_0(B) = A & r2_tarski(k9_xtuple_0(B),k4_ordinal1) ) ) )).
fof(d1_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_setwiseo(C,A) | r1_xxreal_0(1,k3_finseq_1(B)) ) => ! [D] : ( m1_subset_1(D,A) => ( ( ( v1_setwiseo(C,A) & k3_finseq_1(B) = k5_numbers ) => ( D = k1_finsop_1(A,B,C) <=> D = k3_binop_1(A,C) ) ) & ( ~ ( v1_setwiseo(C,A) & k3_finseq_1(B) = k5_numbers ) => ( D = k1_finsop_1(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & k8_nat_1(A,E,1) = k1_funct_1(B,1) & ! [F] : ( v7_ordinal1(F) => ~ ( k5_numbers != F & ~ r1_xxreal_0(k3_finseq_1(B),F) & k8_nat_1(A,E,k1_nat_1(F,1)) != k1_binop_1(C,k8_nat_1(A,E,F),k1_funct_1(B,k1_nat_1(F,1))) ) ) & D = k8_nat_1(A,E,k3_finseq_1(B)) ) ) ) ) ) ) ) ) ) )).
fof(d1_finsub_1,axiom,( ! [A] : ( v1_finsub_1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k2_xboole_0(B,C),A) ) ) )).
fof(d1_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( ( r2_tarski(C,k1_fin_topo(A,B)) & r2_tarski(C,D) ) => k1_fintopo2(A,B,C,D) = k7_margrel1 ) & ( ~ ( r2_tarski(C,k1_fin_topo(A,B)) & r2_tarski(C,D) ) => k1_fintopo2(A,B,C,D) = k6_margrel1 ) ) ) ) ) ) )).
fof(d1_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_fintopo3(A,B) = a_2_0_fintopo3(A,B) ) ) )).
fof(d1_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_fintopo4(A,B,C) <=> ( r1_xboole_0(k9_fin_topo(A,B),C) & r1_xboole_0(B,k9_fin_topo(A,C)) ) ) ) ) ) )).
fof(d1_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_fintopo6(A) <=> v4_fin_topo(k2_struct_0(A),A) ) ) )).
fof(d1_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => ( D = k6_flang_1(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( m1_subset_1(F,k3_catalan2(A)) & ? [G] : ( m1_subset_1(G,k3_catalan2(A)) & r2_tarski(F,B) & r2_tarski(G,C) & E = k1_flang_1(A,F,G) ) ) ) ) ) ) ) )).
fof(d1_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_flang_2(A,B,C,D) = k3_tarski(a_4_0_flang_2(A,B,C,D)) ) ) ) )).
fof(d1_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k1_flang_3(A,B,C) = k3_tarski(a_3_0_flang_3(A,B,C)) ) ) )).
fof(d1_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k1_fomodel1(A) = u1_struct_0(A) ) )).
fof(d1_fomodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k2_fomodel2(A) = k10_fomodel0(k7_relset_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A),k11_monoid_0(A),k6_partfun1(k4_finseq_2(1,A))),k4_finseq_2(2,A)) ) )).
fof(d1_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ! [C] : ( m2_subset_1(C,k3_finseq_2(k3_finseq_2(k1_fomodel1(A))),k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) => k1_fomodel3(A,B,C) = k7_finseq_1(k43_fomodel1(A,B),k3_funct_2(k3_finseq_2(k3_finseq_2(k1_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),C)) ) ) ) )).
fof(d1_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k1_fomodel4(A) = a_1_0_fomodel4(A) ) )).
fof(d1_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_pcomps_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) => ( C = k1_frechet(A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & D = B & C = a_2_0_frechet(A,D) ) ) ) ) ) )).
fof(d1_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_frechet2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_tarski(k2_relset_1(u1_struct_0(A),E),B) & r2_tarski(D,k2_frechet(A,E)) ) ) ) ) ) ) ) )).
fof(d1_freealg,axiom,( ! [A] : ( v1_freealg(A) <=> r1_xboole_0(A,k4_ordinal1) ) )).
fof(d1_friends1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( m1_subset_1(B,k1_relat_1(A)) => ( v1_friends1(B,A) <=> ! [C] : ( r2_hidden(C,k6_subset_1(k1_relat_1(A),k1_tarski(B))) => r2_hidden(k4_tarski(B,C),A) ) ) ) ) )).
fof(d1_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k1_fscirc_1(A,B,C) = k9_facirc_1(A,B,C,k1_facirc_1) )).
fof(d1_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_fsm_1(A,B,C,D) = k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,D,C)) ) ) ) ) )).
fof(d1_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( v1_fsm_2(B,A) <=> ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m2_finseq_1(E,A) => ( ( k1_funct_1(D,1) = k1_funct_1(E,1) & r1_xxreal_0(C,k1_nat_1(k3_finseq_1(D),1)) & r1_xxreal_0(C,k1_nat_1(k3_finseq_1(E),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),D),C) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),E),C) ) ) ) ) ) ) ) )).
fof(d1_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ! [D] : ( ( v1_rewrite3(D,k9_flang_1(A)) & l1_rewrite3(D,k9_flang_1(A)) ) => ( D = k1_fsm_3(A,B,C) <=> ( u1_struct_0(D) = k1_zfmisc_1(u1_struct_0(C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) => ( r2_tarski(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)),k8_afinsq_1(A)),k1_zfmisc_1(u1_struct_0(C)),k1_domain_1(k1_zfmisc_1(u1_struct_0(C)),k8_afinsq_1(A),E,F),G),u1_rewrite3(k9_flang_1(A),D)) <=> ( k1_afinsq_1(F) = 1 & G = k3_rewrite3(A,B,C,F,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k1_ftacell1(A,B,C,D,E) = k2_circcomb(k13_gfacirc1(A,B,C),k13_gfacirc1(k12_gfacirc1(A,B,C),E,D)) )).
fof(d1_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k1_funcop_1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => ( ! [D] : ! [E] : ( k1_funct_1(A,C) = k4_tarski(D,E) => k1_funct_1(B,C) = k4_tarski(E,D) ) & ~ ( k1_funct_1(A,C) != k1_funct_1(B,C) & ! [D] : ! [E] : k1_funct_1(A,C) != k4_tarski(D,E) ) ) ) ) ) ) ) )).
fof(d1_funcsdom,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) => ( B = k5_funcsdom(A) <=> ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,B,C,D),k3_funcsdom(k1_numbers,A,k9_binop_2,C,D)) ) ) ) ) )).
fof(d1_funct_1,axiom,( ! [A] : ( v1_funct_1(A) <=> ! [B] : ! [C] : ! [D] : ( ( r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(B,D),A) ) => C = D ) ) )).
fof(d1_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( B != k1_xboole_0 => ( v1_funct_2(C,A,B) <=> A = k1_relset_1(A,C) ) ) & ( B = k1_xboole_0 => ( v1_funct_2(C,A,B) <=> C = k1_xboole_0 ) ) ) ) )).
fof(d1_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k1_funct_3(A) <=> ( k9_xtuple_0(B) = k1_zfmisc_1(k9_xtuple_0(A)) & ! [C] : ( r1_tarski(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k7_relat_1(A,C) ) ) ) ) ) )).
fof(d1_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k1_funct_4(A,B) <=> ( k9_xtuple_0(C) = k2_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k2_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => ( ( r2_hidden(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) & ( ~ r2_hidden(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) ) ) ) ) ) )).
fof(d1_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k1_funct_5(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(k9_xtuple_0(A)) & ! [C] : ~ ( r2_hidden(C,k9_xtuple_0(k9_xtuple_0(A))) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ~ ( k1_funct_1(B,C) = D & k9_xtuple_0(D) = k10_xtuple_0(k3_xboole_0(k9_xtuple_0(A),k2_zfmisc_1(k1_tarski(C),k10_xtuple_0(k9_xtuple_0(A))))) & ! [E] : ( r2_hidden(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k1_binop_1(A,C,E) ) ) ) ) ) ) ) ) )).
fof(d1_funct_8,axiom,( ! [A] : ( v1_funct_8(A) <=> ! [B] : ( v1_xcmplx_0(B) => ( r2_hidden(B,A) => r2_hidden(k4_xcmplx_0(B),A) ) ) ) )).
fof(d1_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v1_funct_9(B,A) <=> ( A != k5_numbers & ! [C] : ( v1_xreal_0(C) => ( ( r2_hidden(C,k9_xtuple_0(B)) => r2_tarski(k2_xcmplx_0(C,A),k9_xtuple_0(B)) ) & ( r2_tarski(k2_xcmplx_0(C,A),k9_xtuple_0(B)) => r2_hidden(C,k9_xtuple_0(B)) ) & ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k1_funct_1(B,k2_xcmplx_0(C,A)) ) ) ) ) ) ) ) )).
fof(d1_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)))) ) => ( v1_functor0(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & r8_binop_1(A,A,k2_zfmisc_1(B,B),C,k16_funct_3(A,A,B,B,D,D)) ) ) ) )).
fof(d1_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ! [D] : ( m2_functor0(D,A,B) => ( r1_functor2(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,D,E)) != k1_xboole_0 ) ) ) ) ) ) )).
fof(d1_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( m1_functor2(F,A,B,D,E) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ( r1_functor2(A,B,D,E) => ! [H] : ( m1_functor2(H,A,C,k1_functor3(A,B,C,D,G),k1_functor3(A,B,C,E,G)) => ( H = k5_functor3(A,B,C,D,E,F,G) <=> ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k1_funct_1(H,I) = k6_functor0(B,C,G,k3_functor0(A,B,D,I),k3_functor0(A,B,E,I),k2_functor2(A,B,D,E,F,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_fuzzy_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( r1_fuzzy_1(A,B) <=> ( r1_tarski(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [C] : ( r2_tarski(C,k9_xtuple_0(A)) => r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(d1_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_fuzzy_2(A,B,C) = k1_fuzzy_1(A,B,k3_fuzzy_1(A,C)) ) ) ) )).
fof(d1_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ( D = k1_fuzzy_4(A,B,C) <=> ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),k2_zfmisc_1(A,B)) => k1_binop_1(D,E,F) = k1_binop_1(C,F,E) ) ) ) ) ) ) )).
fof(d1_fvaluat1,axiom,( ! [A] : ( v1_fvaluat1(A) <=> ( v1_int_1(A) | A = k1_xxreal_0 ) ) )).
fof(d1_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_fvsum_1(A,B) = k10_funcop_1(u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A),B,k6_partfun1(u1_struct_0(A))) ) ) )).
fof(d1_gate_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) => k1_gate_1(A) = k1_xboole_0 ) & ( v1_xboole_0(A) => k1_gate_1(A) = k1_tarski(k1_xboole_0) ) ) )).
fof(d1_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k1_gate_5(A,B,C,D) = k2_gate_1(A,C) )).
fof(d1_gaussint,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( v1_gaussint(A) <=> ( r2_tarski(k3_complex1(A),k4_numbers) & r2_tarski(k4_complex1(A),k4_numbers) ) ) ) )).
fof(d1_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_gcd_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k6_algstr_0(A,B,D) ) ) ) ) ) )).
fof(d1_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_finseq_1(B,k3_card_3(A)) => ( m1_genealg1(B,A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => r2_tarski(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) ) ) ) ) )).
fof(d1_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_geomtrap(A,B,C,D,E) <=> ( r1_analoaf(A,B,C,D,E) | r1_analoaf(A,B,C,E,D) ) ) ) ) ) ) ) )).
fof(d1_gfacirc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(1,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1,k5_margrel1),k5_margrel1))) ) => ( A = k1_gfacirc1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => k1_funct_1(A,k10_binarith(k5_margrel1,B)) = k8_margrel1(B) ) ) ) )).
fof(d1_glib_000,axiom,( k1_glib_000 = 1 )).
fof(d1_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m2_finseq_1(B,k6_glib_000(A)) => ( m1_glib_001(B,A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(B),C) & ! [D] : ~ r1_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,1)),D) ) ) ) ) ) )).
fof(d1_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_glib_002(A) <=> ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ? [D] : ( m3_glib_001(D,A) & r1_glib_001(A,B,C,D) ) ) ) ) ) )).
fof(d1_glib_003,axiom,( k2_glib_003 = 5 )).
fof(d1_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_glib_003(B) & v4_glib_003(B,A) & m1_glib_000(B,A) ) => ! [C] : ( r1_glib_004(A,B,C) <=> ( v3_glib_002(B) & ! [D] : ( m1_subset_1(D,k6_glib_000(B)) => ? [E] : ( v2_glib_001(E,B) & v5_glib_001(E,B) & m3_glib_001(E,B) & r1_glib_001(B,C,D,E) & ! [F] : ( ( v2_glib_001(F,A) & v5_glib_001(F,A) & m3_glib_001(F,A) ) => ( r1_glib_001(A,C,D,F) => r1_xxreal_0(k10_glib_003(B,E),k10_glib_003(A,F)) ) ) ) ) ) ) ) ) )).
fof(d1_goboard1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k1_goboard1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,C)) ) ) ) ) ) ) )).
fof(d1_goboard2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( A != k1_xboole_0 => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( C = k1_goboard2(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & k1_matrix_0(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(k15_euclid(2)),C,D,E) = k19_euclid(k1_funct_1(A,D),k1_funct_1(B,E)) ) ) ) ) ) ) ) ) ) )).
fof(d1_goboard4,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_goboard4(A,B,C) <=> r1_tarski(k10_xtuple_0(A),k1_xxreal_1(B,C)) ) ) ) ) )).
fof(d1_goboard5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | k1_goboard5(A,B) = a_2_0_goboard5(A,B) ) ) & ( r1_xxreal_0(k3_finseq_1(A),B) => k1_goboard5(A,B) = a_2_1_goboard5(A,B) ) & ~ ( ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(A),B) ) & ~ r1_xxreal_0(k3_finseq_1(A),B) & k1_goboard5(A,B) != a_2_2_goboard5(A,B) ) ) ) ) )).
fof(d1_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = k2_goboard9(A) <=> ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),B) & r1_tarski(k1_tops_1(k15_euclid(2),k5_goboard5(A,1)),B) ) ) ) ) )).
fof(d1_gobrd10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_gobrd10(A,B) <=> ( B = k1_nat_1(A,1) | A = k1_nat_1(B,1) ) ) ) ) )).
fof(d1_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v1_goedcpuc(B,A) <=> ? [C] : ( ~ v1_xboole_0(C) & ? [D] : ( m1_valuat_1(D,A,C) & ? [E] : ( m2_funct_2(E,k3_qc_lang1(A),C,k2_valuat_1(A,C)) & r6_calcul_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d1_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v1_goedelcp(B,A) <=> ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_henmodel(A,B,C) | r1_henmodel(A,B,k6_cqc_lang(A,C)) ) ) ) ) ) )).
fof(d1_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_gr_cy_3(A) <=> ? [B] : ( v7_ordinal1(B) & v1_int_2(B) & k1_nat_1(k3_xcmplx_0(2,B),1) = A ) ) ) )).
fof(d1_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ( D = k1_graph_2(A,B,C) <=> ( k2_xcmplx_0(k3_finseq_1(D),B) = k1_nat_1(C,1) & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k3_finseq_1(D),E) => k1_funct_1(D,k1_nat_1(E,1)) = k1_funct_1(A,k2_xcmplx_0(B,E)) ) ) ) ) ) & ( ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ( D = k1_graph_2(A,B,C) <=> D = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d1_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(A))) => ( D = k2_graph_3(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,u4_struct_0(A)) & r2_tarski(E,C) & k1_funct_1(u2_graph_1(A),E) = B ) ) ) ) ) ) )).
fof(d1_graph_3a,axiom,( k1_graph_3a = k2_enumset1(k5_numbers,1,2,3) )).
fof(d1_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( r1_graph_4(A,B,C,D) <=> ( k1_funct_1(u1_graph_1(A),D) = B & k1_funct_1(u2_graph_1(A),D) = C ) ) ) ) ) )).
fof(d1_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k1_graph_5(A,B) = k2_tarski(k1_funct_1(u1_graph_1(A),B),k1_funct_1(u2_graph_1(A),B)) ) ) )).
fof(d1_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( v1_xreal_0(D) => k2_graphsp(A,B,C,D) = k1_graphsp(k1_graphsp(C,A,B),B,D) ) ) ) ) )).
fof(d1_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_grcat_1(A,B) = k3_tarski(a_2_0_grcat_1(A,B)) ) ) )).
fof(d1_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( B = k2_grnilp_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v15_algstr_0(C) & v1_group_3(C,A) & m1_group_2(C,A) ) ) ) ) )).
fof(d1_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => k2_groeb_1(A,B,C,D) = a_4_0_groeb_1(A,B,C,D) ) ) ) ) )).
fof(d1_groeb_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r3_pre_poly(A,C,B) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( D = k1_groeb_2(A,B,C) <=> r6_pboole(A,k11_pre_poly(A,C,D),B) ) ) ) ) ) )).
fof(d1_groeb_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k15_pre_poly(A))) => k2_groeb_3(A,B,C,D) = k1_funct_4(C,k8_funcop_1(u1_struct_0(B),k4_xboole_0(k3_polynom1(k15_pre_poly(A),B,C),D),k4_struct_0(B))) ) ) ) )).
fof(d1_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ( v1_group_10(C,A,B) <=> ( r2_funct_2(B,B,k1_group_10(A,B,C,k1_group_1(A)),k6_partfun1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_funct_2(B,B,k1_group_10(A,B,C,k6_algstr_0(A,D,E)),k1_partfun1(B,B,B,B,k1_group_10(A,B,C,E),k1_group_10(A,B,C,D))) ) ) ) ) ) ) )).
fof(d1_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_group_2(C,A) => k1_group_11(A,B,C) = a_3_0_group_11(A,B,C) ) ) ) )).
fof(d1_group_12,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_group_7(A,B)))) => ( D = k1_group_12(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k1_group_7(A,B,C))) & E = k1_funct_7(k1_group_1(k2_group_7(A,B)),C,F) ) ) ) ) ) ) ) )).
fof(d1_group_14,axiom,( ! [A] : ( v7_ordinal1(A) => k2_group_14(A) = g2_algstr_0(u1_struct_0(k9_int_3(A)),u1_algstr_0(k9_int_3(A)),u2_struct_0(k9_int_3(A))) ) )).
fof(d1_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k1_group_17(A,B,C) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & D = k3_group_4(A,E) & E = k3_relat_1(k19_finseq_1(B),C) ) ) ) ) ) ) )).
fof(d1_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k1_group_18(A) = a_1_0_group_18(A) ) )).
fof(d1_group_19,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( D = k3_group_19(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ( k1_funct_1(C,E) != k1_group_1(k2_group_19(A,B,E)) & r2_hidden(E,A) ) ) ) ) ) ) )).
fof(d1_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_group_2(A,B) = a_2_0_group_2(A,B) ) ) )).
fof(d1_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( B = k1_group_3(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v15_algstr_0(C) & m1_group_2(C,A) ) ) ) ) )).
fof(d1_group_4,axiom,( ! [A] : ( v1_int_1(A) => k2_group_4(A) = A ) )).
fof(d1_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k1_group_5(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => k1_funct_1(D,E) = k2_group_3(A,k7_partfun1(u1_struct_0(A),B,E),C) ) ) ) ) ) ) ) ) )).
fof(d1_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( m1_group_6(g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)),A,B) => k1_group_6(A,B,C) = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) ) ) ) ) )).
fof(d1_group_7,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_group_7(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => ( ~ v2_struct_0(B) & l3_algstr_0(B) ) ) ) ) )).
fof(d1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ! [D] : ( r1_group_9(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( ( r2_tarski(E,A) & F = k1_funct_1(C,E) ) => r1_tarski(k7_relset_1(B,B,F,D),D) ) ) ) ) ) )).
fof(d1_groupp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( v1_groupp_1(C,A,B) <=> ? [D] : ( v7_ordinal1(D) & k6_group_1(B,C) = k1_newton(A,D) ) ) ) ) ) )).
fof(d1_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_grsolv_1(A) <=> ? [B] : ( m2_finseq_1(B,k1_group_3(A)) & ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & k1_funct_1(B,1) = k7_group_2(A) & k1_funct_1(B,k3_finseq_1(B)) = k6_group_2(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(B)) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ( ( D = k1_funct_1(B,C) & E = k1_funct_1(B,k1_nat_1(C,1)) ) => ( v15_algstr_0(E) & v1_group_3(E,D) & m1_group_6(E,A,D) & ! [F] : ( ( v1_group_3(F,D) & m1_group_6(F,A,D) ) => ( F = E => v5_group_1(k5_group_6(D,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_gtarski1(A,B,C,D) <=> r2_hidden(k4_tarski(k4_tarski(B,C),D),u1_gtarski1(A)) ) ) ) ) ) )).
fof(d1_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_hahnban(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,B,k3_rlvect_1(A,C,D)),k3_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,C),k3_funct_2(u1_struct_0(A),k1_numbers,B,D))) ) ) ) ) ) )).
fof(d1_hahnban1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_hahnban1(A,B) = k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1)) ) ) )).
fof(d1_hallmar1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ! [D] : ( D = k1_hallmar1(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( r2_tarski(F,C) & r2_tarski(F,k4_finseq_1(B)) & r2_hidden(E,k1_funct_1(B,F)) ) ) ) ) )).
fof(d1_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => k1_hausdorf(A,B,C) = k4_xxreal_0(k8_weierstr(A,B,C),k8_weierstr(A,C,B)) ) ) ) )).
fof(d1_heine,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k1_heine(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(B,k8_nat_1(k1_numbers,A,D)) ) ) ) ) ) )).
fof(d1_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k1_helly(A,B) <=> ( r1_tarski(C,A) & r1_tarski(C,B) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( r1_tarski(D,A) & r1_tarski(D,B) ) => r1_tarski(D,C) ) ) ) ) ) ) ) )).
fof(d1_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_henmodel(A,B,C) <=> ? [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) & r1_tarski(k2_relset_1(k3_cqc_lang(A),D),B) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),C))) ) ) ) ) ) )).
fof(d1_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_hermitan(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),B,k3_vectsp_1(k1_complfld,A,D,C)) = k8_group_1(k1_complfld,k2_complfld(D),k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),B,C)) ) ) ) ) ) )).
fof(d1_heyting1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k5_finsub_1(A)) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ( r1_heyting1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,B) => r2_tarski(D,C) ) ) ) ) ) ) )).
fof(d1_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( D = k1_heyting2(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finset_1(F) & r2_tarski(F,C) & r2_hidden(E,k9_xtuple_0(F)) ) ) ) ) ) )).
fof(d1_heyting3,axiom,( ! [A] : ! [B] : k1_heyting3(A,B) = k3_lattice3(k5_substlat(A,B)) )).
fof(d1_hilbasis,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( m2_subset_1(D,k14_pre_poly(k1_nat_1(A,1)),k15_pre_poly(k1_nat_1(A,1))) => ( D = k1_hilbasis(A,B,C) <=> ( k5_relat_1(D,A) = C & k1_recdef_1(D,A) = B ) ) ) ) ) ) )).
fof(d1_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k1_hilbert2(A) = k14_trees_3(k1_nat_1(3,A)) ) )).
fof(d1_hilbert3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(A,B),k9_funct_2(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,B),k9_funct_2(A,B)))) ) => ( E = k1_hilbert3(A,B,C,D) <=> ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k1_funct_1(E,F) = k1_partfun1(A,A,A,B,k2_funct_2(A,C),k1_partfun1(A,B,B,B,F,D)) ) ) ) ) ) ) ) )).
fof(d1_hilbert4,axiom,( ! [A] : k1_hilbert4(A) = a_1_0_hilbert4(A) )).
fof(d1_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_homothet(A,B,C) <=> ( v8_transgeo(B,A) & v1_aff_1(C,A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D) = D ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_aff_1(A,D,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D),C) ) ) ) ) ) ) )).
fof(d1_huffman1,axiom,( k1_huffman1 = k2_zfmisc_1(k4_ordinal1,k1_numbers) )).
fof(d1_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k1_hurwitz(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( F = k1_funct_1(B,E) & k1_funct_1(D,E) = k8_nat_1(u1_struct_0(A),F,C) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k1_hurwitz2(A,B) <=> ! [D] : ( ( v7_ordinal1(D) & v1_abian(D) ) => ( k8_nat_1(u1_struct_0(A),C,D) = k8_nat_1(u1_struct_0(A),B,D) & ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => k8_nat_1(u1_struct_0(A),C,E) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(d1_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_idea_1(A) = k5_finseq_2(k5_margrel1,A,k6_margrel1) ) )).
fof(d1_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_ideal_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k1_algstr_0(A,C,D),B) ) ) ) ) ) ) )).
fof(d1_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => k1_incproj(A) = a_1_0_incproj(A) ) )).
fof(d1_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ( r1_incsp_1(A,B,C) <=> r2_tarski(k1_domain_1(u1_incsp_1(A),u2_incsp_1(A),B,C),u3_incsp_1(A)) ) ) ) ) )).
fof(d1_instalg1,axiom,( ! [A] : ( l1_msualg_1(A) => ( v1_instalg1(A) <=> ( u1_struct_0(A) = k1_xboole_0 => u4_struct_0(A) = k1_xboole_0 ) ) ) )).
fof(d1_int_1,axiom,( ! [A] : ( A = k4_numbers <=> ! [B] : ( r2_hidden(B,A) <=> ~ ! [C] : ( v7_ordinal1(C) => ( B != C & B != k4_xcmplx_0(C) ) ) ) ) )).
fof(d1_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k2_int_2(A,B) <=> ( r1_int_1(A,C) & r1_int_1(B,C) & ! [D] : ( v1_int_1(D) => ( ( r1_int_1(A,D) & r1_int_1(B,D) ) => r1_int_1(C,D) ) ) ) ) ) ) ) )).
fof(d1_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers))) => ( B = k1_int_4(A) <=> ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( r2_hidden(k4_tarski(C,D),B) <=> r2_int_1(C,D,A) ) ) ) ) ) ) )).
fof(d1_int_5,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_numbers,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers))) ) => ( B = k1_int_5(A) <=> ! [C] : ( m1_subset_1(C,k4_numbers) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = k3_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k3_xcmplx_0(k1_funct_1(A,E),k1_newton(C,k7_nat_d(E,1))) ) ) & k3_funct_2(k4_numbers,k4_numbers,B,C) = k1_gr_cy_1(D) ) ) ) ) ) )).
fof(d1_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v2_relat_1(A) <=> ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & k1_funct_1(A,B) = k5_numbers ) ) ) ) )).
fof(d1_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ( v1_int_7(A) <=> ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( r2_tarski(B,k22_pre_poly(k8_newton,A)) & ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & k1_recdef_1(A,B) = k1_newton(B,C) ) ) ) ) ) ) )).
fof(d1_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => k1_int_8(A) = a_1_0_int_8(A) ) )).
fof(d1_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_integr10(A,B,C) <=> ( ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(B,D) => ( r1_xxreal_0(C,D) | ( r1_integra5(k3_integra5(B,D),A) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,A,k3_integra5(B,D))) ) ) ) ) & ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,D) = k3_rcomp_1(B,C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k1_relset_1(k1_numbers,D)) => k1_funct_1(D,E) = k4_integra5(B,E,A) ) ) & r1_limfunc2(D,C) ) ) ) ) ) ) )).
fof(d1_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( m1_integr15(D,A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ( m1_subset_1(F,k1_numbers) => ~ ( r2_tarski(F,k1_rvsum_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,C,E)))) & k1_funct_1(D,E) = k3_xcmplx_0(F,k3_integra1(k2_integra1(A,C,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m2_finseq_1(D,k2_numbers) => ( m1_integr16(D,A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ( m1_subset_1(F,k2_numbers) => ~ ( r2_tarski(F,k2_relset_1(k2_numbers,k2_partfun1(A,k2_numbers,B,k2_integra1(A,C,E)))) & k1_funct_1(D,E) = k3_xcmplx_0(F,k3_integra1(k2_integra1(A,C,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( m1_integr18(E,A,B,C,D) <=> ( k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,k2_relset_1(u1_struct_0(A),k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,D,F)))) & k1_funct_1(E,F) = k1_rlvect_1(A,G,k3_integra1(k2_integra1(B,D,F))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_integr19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( v1_integr19(C,A,B) <=> ? [D] : ( v1_xreal_0(D) & ! [E] : ~ ( r2_tarski(E,k1_relset_1(B,C)) & r1_xxreal_0(D,k2_normsp_0(A,k7_partfun1(u1_struct_0(A),C,E))) ) ) ) ) ) ) )).
fof(d1_integr1c,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_numbers))) ) => ( A = k1_integr1c <=> ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ( ( C = k1_xtuple_0(B) & D = k2_xtuple_0(B) ) => k1_funct_1(A,k4_tarski(C,D)) = k2_xcmplx_0(C,k3_xcmplx_0(D,k7_complex1)) ) ) ) ) ) ) )).
fof(d1_integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_integr20(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( r2_hidden(E,k1_relset_1(k1_numbers,B)) & r2_hidden(F,k1_relset_1(k1_numbers,B)) & ~ r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(E,F))) & r1_xxreal_0(C,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,E),k7_partfun1(u1_struct_0(A),B,F)))) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_integra2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v7_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) ) => r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,k1_nat_1(B,1))) ) ) ) ) )).
fof(d1_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => k1_integra3(A,B) = k1_xxreal_2(k1_rvsum_1(k4_integra1(A,k7_rfunct_1(A,A),B))) ) ) )).
fof(d1_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r1_integra4(A,B,C) <=> ( k3_finseq_1(B) = C & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k1_funct_1(B,D) = k2_xcmplx_0(k3_seq_4(A),k3_xcmplx_0(k7_xcmplx_0(k3_integra1(A),k3_finseq_1(B)),D)) ) ) ) ) ) ) ) )).
fof(d1_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_integra5(A,B) <=> v3_integra1(k1_integra5(B,A),A) ) ) ) )).
fof(d1_integra7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( C = k1_integra7(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & D = E & r2_fdiff_1(E,A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(E,A),k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) ) )).
fof(d1_integra8,axiom,( ! [A] : ( v1_xreal_0(A) => k1_integra8(A) = k7_funcop_1(k1_numbers,A) ) )).
fof(d1_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_integra9(A,B,C) = k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) )).
fof(d1_interva1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k1_interva1(A,B,C) = a_3_0_interva1(A,B,C) ) ) )).
fof(d1_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k1_irrat_1(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k7_xcmplx_0(k6_xcmplx_0(C,A),C) ) ) ) ) )).
fof(d1_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( m2_cat_1(C,A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,D)) = k4_cat_1(B,E) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,k3_graph_1(A,D))) = k4_cat_1(B,k3_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D))) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,k4_graph_1(A,D))) = k4_cat_1(B,k4_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D))) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( k3_graph_1(A,E) = k4_graph_1(A,D) => k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k1_cat_1(A,D,E)) = k1_cat_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D),k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,E)) ) ) ) ) ) ) ) ) )).
fof(d1_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_cat_1(D,k9_nattra_1(A,B),B) => ( D = k2_isocat_2(A,B,C) <=> ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m2_nattra_1(G,A,B,E,F) => ( r2_nattra_1(A,B,E,F) => k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)) = k2_nattra_1(A,B,E,F,G,C) ) ) ) ) ) ) ) ) ) )).
fof(d1_isomichi,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_isomichi(B,A) <=> k1_tops_1(A,k2_pre_topc(A,B)) = k1_tops_1(A,B) ) ) ) )).
fof(d1_jct_misc,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( v1_xreal_0(C) => ( C = k1_jct_misc(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) & D = a_2_0_jct_misc(A,B) & C = k3_seq_4(D) ) ) ) ) ) )).
fof(d1_jgraph_1,axiom,( ! [A] : k1_jgraph_1(A) = g1_graph_1(A,k2_zfmisc_1(A,A),k9_funct_3(A,A),k10_funct_3(A,A)) )).
fof(d1_jgraph_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k8_struct_0(k15_euclid(2)),k8_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k15_euclid(2)),k8_struct_0(k15_euclid(2))))) ) => ( A = k1_jgraph_2 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( B != k4_struct_0(k15_euclid(2)) => ( ( ( ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) => k1_funct_1(A,B) = k19_euclid(k7_xcmplx_0(1,k17_euclid(B)),k7_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k17_euclid(B)),k17_euclid(B))) ) & ~ ( ~ ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) & ~ ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) & k1_funct_1(A,B) != k19_euclid(k7_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k18_euclid(B)),k18_euclid(B)),k7_xcmplx_0(1,k18_euclid(B))) ) ) ) ) ) ) )).
fof(d1_jgraph_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ( A = k1_jgraph_3 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( B = k4_struct_0(k15_euclid(2)) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),A,B) = B ) & ~ ( ( ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) & B != k4_struct_0(k15_euclid(2)) & k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),A,B) != k19_euclid(k7_xcmplx_0(k17_euclid(B),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k18_euclid(B),k17_euclid(B)))))),k7_xcmplx_0(k18_euclid(B),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k18_euclid(B),k17_euclid(B))))))) ) & ~ ( ~ ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) & ~ ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) & B != k4_struct_0(k15_euclid(2)) & k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),A,B) != k19_euclid(k7_xcmplx_0(k17_euclid(B),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k17_euclid(B),k18_euclid(B)))))),k7_xcmplx_0(k18_euclid(B),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k17_euclid(B),k18_euclid(B))))))) ) ) ) ) ) )).
fof(d1_jgraph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ( B = k1_jgraph_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,C) = k12_euclid(C) ) ) ) ) )).
fof(d1_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_jgraph_6(A,B,C,D) = a_4_0_jgraph_6(A,B,C,D) ) ) ) ) )).
fof(d1_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) => ( B = k3_jordan(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers,B,C) = k6_xcmplx_0(k17_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),C)),k17_euclid(A)) ) ) ) ) )).
fof(d1_jordan1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_convex1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r1_tarski(k1_rltopsp1(A,C,D),B) ) ) ) ) ) ) )).
fof(d1_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_jordan10(A) = a_1_0_jordan10(A) ) )).
fof(d1_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k1_jordan11(A) <=> ( r1_jordan1h(A,B) & ! [C] : ( v7_ordinal1(C) => ( r1_jordan1h(A,C) => r1_xxreal_0(B,C) ) ) ) ) ) ) )).
fof(d1_jordan12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(A))) => ( r1_jordan12(A,B,C) <=> ( r1_xboole_0(k3_topreal1(A,B),k10_xtuple_0(C)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(C),D) | v1_zfmisc_1(k9_subset_1(u1_struct_0(k15_euclid(A)),k3_topreal1(A,B),k2_topreal1(A,C,D))) ) ) ) ) ) ) ) ) )).
fof(d1_jordan13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & v1_sprect_2(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( C = k1_jordan13(A,B) <=> ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k3_jordan1h(A,B),k3_jordan11(A,B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,2) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),k3_jordan11(A,B)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(C)) ) => ( ( ( r1_xboole_0(k3_gobrd13(C,k1_jordan8(A,B),D),A) & r1_xboole_0(k4_gobrd13(C,k1_jordan8(A,B),D),A) ) => r2_gobrd13(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B),D) ) & ( r1_xboole_0(k3_gobrd13(C,k1_jordan8(A,B),D),A) => ( r1_xboole_0(k4_gobrd13(C,k1_jordan8(A,B),D),A) | r3_gobrd13(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B),D) ) ) & ( ~ r1_xboole_0(k3_gobrd13(C,k1_jordan8(A,B),D),A) => r1_gobrd13(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B),D) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k1_jordan14(A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k3_jordan1h(A,B),k3_jordan11(A,B)) ) ) )).
fof(d1_jordan17,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r1_jordan17(A,B,C,D,E) <=> ~ ( ~ ( r1_jordan6(A,B,C) & r1_jordan6(A,C,D) & r1_jordan6(A,D,E) ) & ~ ( r1_jordan6(A,C,D) & r1_jordan6(A,D,E) & r1_jordan6(A,E,B) ) & ~ ( r1_jordan6(A,D,E) & r1_jordan6(A,E,B) & r1_jordan6(A,B,C) ) & ~ ( r1_jordan6(A,E,B) & r1_jordan6(A,B,C) & r1_jordan6(A,C,D) ) ) ) ) ) ) ) ) )).
fof(d1_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k1_jordan18(A,B) = k19_euclid(k17_euclid(A),k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),B,k4_topreal1(A))))) ) ) )).
fof(d1_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))))) ) => ( B = k1_jordan19(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k8_jordan6(k3_topreal1(2,k1_jordan9(A,C))) ) ) ) ) )).
fof(d1_jordan1a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k1_jordan1a(A) = k1_nat_1(k3_nat_d(k3_finseq_1(A),2),1) ) )).
fof(d1_jordan1e,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k1_jordan1e(A,B) = k1_finseq_5(u1_struct_0(k15_euclid(2)),k1_finseq_6(u1_struct_0(k15_euclid(2)),k1_jordan9(A,B),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))) ) ) )).
fof(d1_jordan1h,axiom,( k1_jordan1h = a_0_0_jordan1h )).
fof(d1_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( v1_xreal_0(D) => ( D = k1_jordan1k(A,B,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) & B = E & C = F & D = k7_weierstr(k14_euclid(A),E,F) ) ) ) ) ) ) ) )).
fof(d1_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ( r1_jordan20(A,B,C,D,E) <=> ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & k17_euclid(D) = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & ~ r1_xxreal_0(E,k17_euclid(F)) & r1_jordan5c(A,B,C,F,D) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan5c(A,B,C,F,G) & r1_jordan5c(A,B,C,G,D) ) => r1_xxreal_0(k17_euclid(G),E) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_jordan21(A) <=> ~ r1_xboole_0(A,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2))) ) ) )).
fof(d1_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_jordan23(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,B) = k1_funct_1(A,C) ) => ( ( B = 1 & C = k3_finseq_1(A) ) | ( B = k3_finseq_1(A) & C = 1 ) | B = C ) ) ) ) ) ) )).
fof(d1_jordan24,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( r1_jordan24(A,B,C,D) <=> ( r2_tarski(C,B) & r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( ( r2_tarski(E,B) & r2_tarski(F,B) ) => r1_xxreal_0(k1_topreal6(A,E,F),k1_topreal6(A,C,D)) ) ) ) ) ) ) ) ) ) )).
fof(d1_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k1_jordan3(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & C = k4_seq_4(D) & D = a_2_0_jordan3(A,B) ) ) ) ) ) ) )).
fof(d1_jordan4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( k4_nat_d(A,k7_nat_d(k3_finseq_1(B),1)) != k5_numbers => k1_jordan4(A,B) = k4_nat_d(A,k7_nat_d(k3_finseq_1(B),1)) ) & ( k4_nat_d(A,k7_nat_d(k3_finseq_1(B),1)) = k5_numbers => k1_jordan4(A,B) = k7_nat_d(k3_finseq_1(B),1) ) ) ) ) )).
fof(d1_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),A,B),k15_euclid(2)) & r1_topreal1(k15_euclid(2),C,D,A) ) => ( r1_xboole_0(A,B) | ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k1_jordan5c(A,B,C,D) <=> ( r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(2)),A,B)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [G] : ( v1_xreal_0(G) => ( ( v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D & k1_funct_1(F,G) = E & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) ) => ! [H] : ( v1_xreal_0(H) => ~ ( r1_xxreal_0(k5_numbers,H) & ~ r1_xxreal_0(G,H) & r2_tarski(k1_funct_1(F,H),B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k1_jordan5d(A) <=> ( r2_hidden(k4_tarski(1,B),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,B) = k18_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d1_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( D = k1_jordan6(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( E = a_2_0_jordan6(B,C) => D = k1_jordan5c(A,E,B,C) ) ) ) ) ) ) ) )).
fof(d1_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( C != k18_pscomp_1(A) => k1_jordan7(A,B,C) = a_3_0_jordan7(A,B,C) ) & ( C = k18_pscomp_1(A) => k1_jordan7(A,B,C) = a_2_0_jordan7(A,B) ) ) ) ) ) )).
fof(d1_jordan8,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( C = k1_jordan8(A,B) <=> ( k3_finseq_1(C) = k1_nat_1(k1_newton(2,B),3) & k3_finseq_1(C) = k1_matrix_0(C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(k15_euclid(2)),C,D,E) = k19_euclid(k2_xcmplx_0(k6_pscomp_1(A),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),k1_newton(2,B)),k6_xcmplx_0(D,2))),k2_xcmplx_0(k9_pscomp_1(A),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A)),k1_newton(2,B)),k6_xcmplx_0(E,2)))) ) ) ) ) ) ) ) ) )).
fof(d1_jordan9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( v2_connsp_1(A,k15_euclid(2)) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & v1_sprect_2(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( C = k1_jordan9(A,B) <=> ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B)) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k1_jordan8(A,B))) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),D,k1_matrix_0(k1_jordan8(A,B))) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,2) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_nat_1(D,1),k1_matrix_0(k1_jordan8(A,B))) & r2_tarski(k20_pscomp_1(A),k3_goboard5(k1_jordan8(A,B),D,k7_nat_d(k1_matrix_0(k1_jordan8(A,B)),1))) & k20_pscomp_1(A) != k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),D,k7_nat_d(k1_matrix_0(k1_jordan8(A,B)),1)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(C)) ) => ( ( ( r1_xboole_0(k4_gobrd13(C,k1_jordan8(A,B),D),A) & r1_xboole_0(k3_gobrd13(C,k1_jordan8(A,B),D),A) ) => r1_gobrd13(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B),D) ) & ( r1_xboole_0(k4_gobrd13(C,k1_jordan8(A,B),D),A) => ( r1_xboole_0(k3_gobrd13(C,k1_jordan8(A,B),D),A) | r3_gobrd13(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B),D) ) ) & ( ~ r1_xboole_0(k4_gobrd13(C,k1_jordan8(A,B),D),A) => r2_gobrd13(u1_struct_0(k15_euclid(2)),C,k1_jordan8(A,B),D) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_knaster,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v6_cohsp_1(C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r1_tarski(D,E) => r1_tarski(k3_funct_2(A,B,C,D),k3_funct_2(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(d1_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m2_prob_1(D,A,B) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( E = k1_kolmog01(A,B,C,D) <=> ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( r2_tarski(F,E) <=> ! [G] : ( m1_subset_1(G,C) => k1_funct_1(D,k8_subset_1(A,F,G)) = k3_xcmplx_0(k3_funct_2(B,k1_numbers,D,F),k1_funct_1(D,G)) ) ) ) ) ) ) ) ) ) )).
fof(d1_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_kurato_1(A,B) = k5_enumset1(B,k2_pre_topc(A,B),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))))))) ) ) )).
fof(d1_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_kurato_2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ! [E] : ( m1_connsp_2(E,A,D) => ? [F] : ( v7_ordinal1(F) & ! [G] : ( v7_ordinal1(G) => ~ ( ~ r1_xxreal_0(G,F) & r1_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,G),E) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_lang1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_lang1(A,B,C) <=> r2_hidden(k4_tarski(B,C),u1_lang1(A)) ) ) ) ) )).
fof(d1_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),C,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => ( ( r2_tarski(A,k2_finseq_1(C)) & r2_tarski(B,k2_finseq_1(C)) ) => k2_laplace(A,B,C,D,E) = k18_matrix_0(A,B,C,u1_struct_0(D),E) ) ) ) ) ) ) )).
fof(d1_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_group_3(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_group_3(A),k9_setfam_1(u1_struct_0(A))))) ) => ( B = k1_latsubgr(A) <=> ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => k1_funct_1(B,C) = u1_struct_0(C) ) ) ) ) )).
fof(d1_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( r1_latsum_1(A,B) <=> ! [C] : ! [D] : ( ( r2_tarski(C,k3_xboole_0(u1_struct_0(A),u1_struct_0(B))) & r2_tarski(D,k3_xboole_0(u1_struct_0(A),u1_struct_0(B))) ) => ( r2_hidden(k4_tarski(C,D),u1_orders_2(A)) <=> r2_hidden(k4_tarski(C,D),u1_orders_2(B)) ) ) ) ) ) )).
fof(d1_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v1_lattad_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_lattices(A,k1_lattices(A,B,C),D) = k1_lattices(A,k2_lattices(A,B,D),k2_lattices(A,C,D)) ) ) ) ) ) )).
fof(d1_lattice2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r1_lattice2(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k4_binop_1(A,B,D,k4_binop_1(A,C,D,E)) = D ) ) ) ) ) ) )).
fof(d1_lattice3,axiom,( ! [A] : ! [B] : ( ( v3_lattices(B) & l3_lattices(B) ) => ( B = k1_lattice3(A) <=> ( u1_struct_0(B) = k9_setfam_1(A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( k1_binop_1(u2_lattices(B),C,D) = k4_subset_1(A,C,D) & k1_binop_1(u1_lattices(B),C,D) = k9_subset_1(A,C,D) ) ) ) ) ) ) )).
fof(d1_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( m1_lattice4(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_lattices(A,D,E)) = k3_lattices(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_lattices(A,D,E)) = k4_lattices(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(d1_lattice5,axiom,( ! [A] : k1_lattice5(A) = k3_lattice3(k2_msualg_5(A)) )).
fof(d1_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_lattice6(A,B) = a_2_0_lattice6(A,B) ) ) )).
fof(d1_lattice7,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_lattice7(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(D,C) ) ) ) ) ) ) )).
fof(d1_lattice8,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_lattice8(A) <=> ? [B] : ( ~ v1_xboole_0(B) & ! [C] : ( r2_hidden(C,u1_struct_0(A)) => ( v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( ( v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( ( v1_partfun1(E,B) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [F] : ! [G] : ~ ( r2_tarski(D,u1_struct_0(A)) & r2_tarski(E,u1_struct_0(A)) & r2_hidden(k4_tarski(F,G),k5_eqrel_1(B,D,E)) & ! [H] : ( ( ~ v1_xboole_0(H) & m2_finseq_1(H,B) ) => ~ ( k3_finseq_1(H) = C & r1_lattice5(B,H,F,G,D,E) ) ) ) ) ) ) ) ) ) )).
fof(d1_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,B,C) = k4_binop_1(u1_struct_0(A),u2_lattices(A),B,C) ) ) ) )).
fof(d1_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_lfuzzy_0(A) <=> ( r1_tarski(u1_struct_0(A),k1_numbers) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r2_hidden(B,u1_struct_0(A)) & r2_hidden(C,u1_struct_0(A)) ) => ( r2_hidden(k4_tarski(B,C),u1_orders_2(A)) <=> r1_xxreal_0(B,C) ) ) ) ) ) ) ) )).
fof(d1_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ( r1_lfuzzy_1(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,B) => r1_xxreal_0(k8_lfuzzy_0(A,B,C,E,F),k8_lfuzzy_0(A,B,D,E,F)) ) ) ) ) ) ) ) )).
fof(d1_limfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => k1_limfunc1(A) = k3_xxreal_1(k2_xxreal_0,A) ) )).
fof(d1_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_limfunc2(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,C) & ~ r1_xxreal_0(B,D) & r2_hidden(D,k1_relset_1(k1_numbers,A)) ) ) ) ) & ? [C] : ( v1_xreal_0(C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = B & r1_tarski(k2_relset_1(k1_numbers,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) = C ) ) ) ) ) ) ) ) )).
fof(d1_limfunc3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_limfunc3(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,C) & ~ r1_xxreal_0(D,B) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(B,E) & r2_hidden(E,k9_xtuple_0(A)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,B) & r2_hidden(F,k9_xtuple_0(A)) ) ) ) ) ) ) & ? [C] : ( v1_xreal_0(C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = B & r1_tarski(k10_xtuple_0(D),k6_subset_1(k9_xtuple_0(A),k1_tarski(B))) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) = C ) ) ) ) ) ) ) ) )).
fof(d1_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v7_struct_0(A) <=> k4_struct_0(A) = k1_group_1(A) ) ) )).
fof(d1_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k9_funct_2(A,u1_struct_0(B)),k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,u1_struct_0(B)),k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))))) ) => ( C = k2_lopban_1(A,B) <=> ! [D] : ( m2_funct_2(D,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [E] : ( m2_funct_2(E,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => r2_funct_2(A,u1_struct_0(B),k1_funcsdom(A,u1_struct_0(B),C,D,E),k3_funcsdom(u1_struct_0(B),A,u1_algstr_0(B),D,E)) ) ) ) ) ) ) )).
fof(d1_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => k2_lopban_2(A,B,C) = k4_binop_1(k10_lopban_1(A,A),k5_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),B,C) ) ) ) )).
fof(d1_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_lopban_3(B,A) <=> v3_normsp_1(k1_bhsp_4(A,B),A) ) ) ) )).
fof(d1_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lopban_4(A,B,C) <=> k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) ) ) ) ) )).
fof(d1_lopban_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k1_lopban_5(A,B,C) = a_3_0_lopban_5(A,B,C) ) ) ) )).
fof(d1_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k3_lopban_7(A,B,C) = C ) ) ) )).
fof(d1_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => k1_lopclset(A) = a_1_0_lopclset(A) ) )).
fof(d1_lp_space,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k1_lp_space(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k9_complex1(k8_nat_1(k1_numbers,A,D)),B) ) ) ) ) ) )).
fof(d1_lpspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_lpspace2(A) <=> r1_xxreal_0(1,A) ) ) )).
fof(d1_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => k1_ltlaxio1(A) = k3_hilbert1(A,k2_hilbert1) ) )).
fof(d1_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k1_ltlaxio2(A,B) = k5_ltlaxio1(B,k4_ltlaxio1(A,k4_hilbert1(A,B))) ) ) )).
fof(d1_margrel1,axiom,( ! [A] : ( v3_finseq_1(A) => ( v2_card_3(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => k3_finseq_1(B) = k3_finseq_1(C) ) ) ) ) ) )).
fof(d1_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_mathmorp(A,B,C) = a_3_0_mathmorp(A,B,C) ) ) ) )).
fof(d1_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))),u1_struct_0(B)))) ) => ( D = k1_matrix11(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k2_finseq_1(k1_nat_1(A,2))) & r2_tarski(F,k2_finseq_1(k1_nat_1(A,2))) ) => ( r1_xxreal_0(F,E) | ( ( ~ r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(C,E)) => k1_funct_1(D,k2_tarski(E,F)) = k1_group_1(B) ) & ( ~ r1_xxreal_0(k1_funct_1(C,E),k1_funct_1(C,F)) => k1_funct_1(D,k2_tarski(E,F)) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(C),A,B) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(C))) ) => ( G = k1_matrix12(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(H,k4_finseq_1(D)) & r2_tarski(I,k2_finseq_1(k1_matrix_0(D))) ) => ( ( H = E => k3_matrix_0(u1_struct_0(C),G,H,I) = k3_matrix_0(u1_struct_0(C),D,F,I) ) & ( H = F => k3_matrix_0(u1_struct_0(C),G,H,I) = k3_matrix_0(u1_struct_0(C),D,E,I) ) & ~ ( H != E & H != F & k3_matrix_0(u1_struct_0(C),G,H,I) != k3_matrix_0(u1_struct_0(C),D,H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(C,k4_ordinal1)) => ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(D,k4_ordinal1)) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,A,C,D) & m2_finseq_1(G,k3_finseq_2(A)) ) => ( G = k1_matrix13(A,B,C,D,E,F) <=> ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( r2_hidden(k4_tarski(H,I),k2_matrix_0(G)) => k3_matrix_0(A,G,H,I) = k3_matrix_0(A,B,k1_funct_1(E,H),k1_funct_1(F,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_matrix14(A,B) = k5_finseq_2(u1_struct_0(A),B,k4_struct_0(A)) ) ) )).
fof(d1_matrix15,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => k2_matrix15(A,B) = k10_laplace(A,B) ) ) )).
fof(d1_matrix16,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_matrix16(A,B,C) <=> ( k3_finseq_1(C) = k1_matrix_0(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) => k3_matrix_0(A,B,D,E) = k1_funct_1(C,k2_xcmplx_0(k5_int_1(k6_xcmplx_0(E,D),k3_finseq_1(C)),1)) ) ) ) ) ) ) ) )).
fof(d1_matrix_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_matrix_0(A) <=> ? [B] : ( v7_ordinal1(B) & ! [C] : ~ ( r2_hidden(C,k10_xtuple_0(A)) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( D = C & k3_finseq_1(D) = B ) ) ) ) ) ) )).
fof(d1_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_matrix_3(A,B,C) = k5_finseq_2(k4_finseq_2(C,u1_struct_0(A)),B,k5_finseq_2(u1_struct_0(A),C,k4_struct_0(A))) ) ) ) )).
fof(d1_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => k1_matrix_4(A,B,C) = k3_matrix_3(A,B,k2_matrix_3(A,C)) ) ) ) )).
fof(d1_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k1_matrix_5(A) = A ) )).
fof(d1_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r1_matrix_6(A,B,C,D) <=> k4_matrix_3(B,C,D) = k4_matrix_3(B,D,C) ) ) ) ) ) )).
fof(d1_matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r2_hidden(A,B) => k2_matrix_7(A,B,C,D) = C ) & ( ~ r2_hidden(A,B) => k2_matrix_7(A,B,C,D) = D ) ) )).
fof(d1_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_matrix_1(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A),u1_struct_0(B)))) ) => ( D = k1_matrix_9(A,B,C) <=> ! [E] : ( m1_matrix_1(E,k9_matrix_1(A)) => k3_funct_2(k9_matrix_1(A),u1_struct_0(B),D,E) = k1_finsop_1(u1_struct_0(B),k10_matrix_3(A,B,C,E),u2_algstr_0(B)) ) ) ) ) ) ) )).
fof(d1_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( B = k1_matrixc1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & k1_matrix_0(B) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(A)) => k3_matrix_0(k2_numbers,B,C,D) = k8_complex1(k3_matrix_0(k2_numbers,A,C,D)) ) ) ) ) ) ) ) )).
fof(d1_matrixj1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(k1_wsierp_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k1_matrixj1(A,B) <=> ( r1_xxreal_0(B,k1_wsierp_1(k17_finseq_1(k4_ordinal1,C,A))) & r2_tarski(C,k4_finseq_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(B,k1_wsierp_1(k17_finseq_1(k4_ordinal1,D,A))) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) )).
fof(d1_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( D = k1_matrixj2(A,B,C) <=> ( k3_finseq_1(D) = C & k1_matrix_0(D) = C & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => ( ( E = F => k3_matrix_0(u1_struct_0(A),D,E,F) = B ) & ( k1_nat_1(E,1) = F => k3_matrix_0(u1_struct_0(A),D,E,F) = k1_group_1(A) ) & ~ ( E != F & k1_nat_1(E,1) != F & k3_matrix_0(u1_struct_0(A),D,E,F) != k4_struct_0(A) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => k1_matrixr1(A) = A ) )).
fof(d1_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k3_matrixr2(A,B) = k12_matrix_3(A,k2_vectsp_1,k2_matrixr2(A,B)) ) ) )).
fof(d1_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_matrlin(B,A) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v2_vectsp_7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) )).
fof(d1_matrlin2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( v1_relat_1(B) => k2_matrlin2(A,B) = k5_relat_1(B,u1_struct_0(A)) ) ) )).
fof(d1_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => k1_matroid0(A) = u1_pre_topc(A) ) )).
fof(d1_matrprob,axiom,( ! [A] : ( m2_finseq_1(A,k3_finseq_2(k1_numbers)) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k3_matrprob(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k18_rvsum_1(k1_matrprob(k1_numbers,A,C)) ) ) ) ) ) ) )).
fof(d1_matrtop1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k1_matrtop1(A) = A ) )).
fof(d1_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_mazurulm(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E))) = k2_normsp_0(A,k5_algstr_0(A,D,E)) ) ) ) ) ) ) )).
fof(d1_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( C = k1_mboolean(A,B) <=> ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k1_zfmisc_1(k1_funct_1(B,D)) ) ) ) ) )).
fof(d1_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_prob_1(B,A) <=> ! [C] : ( r2_tarski(C,B) => r2_tarski(k6_subset_1(A,C),B) ) ) ) )).
fof(d1_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( m1_measure2(C,A,B) <=> r1_tarski(C,B) ) ) ) )).
fof(d1_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( r1_measure3(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( ( r2_tarski(E,B) & r1_tarski(D,E) & k12_supinf_2(C,E) = k1_supinf_2 ) => r2_tarski(D,B) ) ) ) ) ) )).
fof(d1_measure4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k6_numbers))) ) => ( m1_measure4(B,A) <=> ( v6_supinf_2(B) & v10_valued_0(B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r1_tarski(C,D) => ( r1_xxreal_0(k12_supinf_2(B,C),k12_supinf_2(B,D)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r1_xxreal_0(k12_supinf_2(B,k5_setfam_1(A,k2_relset_1(k9_setfam_1(A),E))),k17_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,E,B))) ) ) ) ) ) ) ) ) )).
fof(d1_measure5,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( C = k1_measure5(A,B) <=> ! [D] : ( m1_subset_1(D,k6_numbers) => ( r2_tarski(D,C) <=> ( ~ r1_xxreal_0(D,A) & ~ r1_xxreal_0(B,D) ) ) ) ) ) ) ) )).
fof(d1_measure7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( C = k1_measure7(A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r2_tarski(D,A) => k12_supinf_2(C,D) = k12_supinf_2(B,D) ) & ( ~ r2_tarski(D,A) => k12_supinf_2(C,D) = k1_supinf_2 ) ) ) ) ) ) ) )).
fof(d1_member_1,axiom,( ! [A] : ( v2_membered(A) => k4_member_1(A) = a_1_0_member_1(A) ) )).
fof(d1_membered,axiom,( ! [A] : ( v1_membered(A) <=> ! [B] : ( r2_hidden(B,A) => v1_xcmplx_0(B) ) ) )).
fof(d1_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v1_memstr_0(B,A) & l1_memstr_0(B,A) ) => ( B = k1_memstr_0(A) <=> ( u1_struct_0(B) = k6_domain_1(k4_ordinal1,k5_numbers) & u2_struct_0(B) = k5_numbers & u1_memstr_0(A,B) = k17_funcop_1(k5_numbers,k5_numbers) & u2_memstr_0(A,B) = k7_funcop_1(A,k4_ordinal1) ) ) ) ) )).
fof(d1_menelaus,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r1_menelaus(A,B,C) <=> ~ ( ~ ( r1_xboole_0(A,B) & r1_xboole_0(B,C) & r1_xboole_0(C,A) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,A) & r2_tarski(D,B) & r2_tarski(D,C) ) ) ) ) ) ) ) )).
fof(d1_mesfun10,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_mesfun10(B,A) <=> ? [C] : ( v1_xreal_0(C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers))) => r1_xxreal_0(k3_extreal1(k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,D),E)),C) ) ) ) ) ) )).
fof(d1_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_mesfun6c(A,B,C,D) <=> ( r1_mesfunc6(A,B,k5_comseq_3(A,C),D) & r1_mesfunc6(A,B,k6_comseq_3(A,C),D) ) ) ) ) ) ) )).
fof(d1_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k1_mesfun7c(A,B) = B ) ) )).
fof(d1_mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) => ( E = k1_mesfun9c(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,B,k4_mesfunc5(A,B,E,F),k2_partfun1(A,B,k4_mesfunc5(A,B,C,F),D)) ) ) ) ) )).
fof(d1_mesfunc1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( A = k1_mesfunc1 <=> ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & B = k4_xcmplx_0(C) ) ) ) ) ) )).
fof(d1_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v3_valued_0(B) <=> ! [C] : ( m1_subset_1(C,A) => ~ ( r2_tarski(C,k1_relset_1(A,B)) & r1_xxreal_0(k1_supinf_1,k3_extreal1(k12_supinf_2(B,C))) ) ) ) ) ) )).
fof(d1_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ( r1_mesfunc3(A,B,C,D,E) <=> ( k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,D)) & k4_finseq_1(D) = k4_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => ! [G] : ( r2_hidden(G,k1_funct_1(D,F)) => k1_funct_1(C,G) = k12_supinf_2(E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_mesfunc5,axiom,( ! [A] : ( v1_mesfunc5(A) <=> ! [B] : ( m1_subset_1(B,k6_numbers) => ( r2_tarski(B,A) => r1_xxreal_0(B,k5_numbers) ) ) ) )).
fof(d1_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_mesfunc6(A,B,C,D) <=> r1_mesfunc1(A,B,k1_mesfunc5(A,C),D) ) ) ) ) ) )).
fof(d1_mesfunc7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k6_numbers,k6_numbers),k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_numbers,k6_numbers),k6_numbers))) ) => ( A = k1_mesfunc7 <=> ! [B] : ( m1_subset_1(B,k6_numbers) => ! [C] : ( m1_subset_1(C,k6_numbers) => k4_binop_1(k6_numbers,A,B,C) = k1_extreal1(B,C) ) ) ) ) )).
fof(d1_mesfunc9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( B = k1_mesfunc9(A) <=> ( k12_supinf_2(B,k5_numbers) = k12_supinf_2(A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => k12_supinf_2(B,k1_nat_1(C,1)) = k3_supinf_2(k12_supinf_2(B,C),k12_supinf_2(A,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(d1_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_metric_1(A,B,C) = k1_binop_1(u1_metric_1(A),B,C) ) ) ) )).
fof(d1_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers))) ) => ( C = k1_metric_3(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [I] : ( m1_subset_1(I,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ( ( H = k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,F) & I = k1_domain_1(u1_struct_0(A),u1_struct_0(B),E,G) ) => k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,C,H,I) = k2_xcmplx_0(k3_metric_1(A,D,E),k3_metric_1(B,F,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_metric_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( C = k1_metric_6(A,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k2_binop_1(A,A,k1_numbers,C,D,E) = k7_xcmplx_0(k2_binop_1(A,A,k1_numbers,B,D,E),k2_xcmplx_0(1,k2_binop_1(A,A,k1_numbers,B,D,E))) ) ) ) ) ) ) )).
fof(d1_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( r1_metrizts(A,B,C,D) <=> r1_borsuk_3(k1_pre_topc(A,C),k1_pre_topc(B,D)) ) ) ) ) ) )).
fof(d1_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_mfold_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_connsp_2(C,A,B) & ? [D] : ( v7_ordinal1(D) & r2_borsuk_3(k1_pre_topc(A,C),k2_brouwer(D,k4_struct_0(k15_euclid(D)),1)) ) ) ) ) ) )).
fof(d1_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v1_mfold_1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) & ? [D] : ( v1_xreal_0(D) & B = k1_topreal9(A,C,D) ) ) ) ) ) )).
fof(d1_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ( C = k1_mfold_2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),C,D) = k22_rvsum_1(B,D) ) ) ) ) ) )).
fof(d1_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_midsp_1(A,B,C) = k4_binop_1(u1_struct_0(A),u1_midsp_1(A),B,C) ) ) ) )).
fof(d1_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_midsp_2(A,B) = k1_algstr_0(A,B,B) ) ) )).
fof(d1_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => k4_midsp_3(A,B,C,D) = k1_funct_1(u1_midsp_3(k1_nat_1(A,2),B),k3_midsp_3(A,B,1,k1_nat_1(A,1),k2_midsp_3(A,B,C),D)) ) ) ) ) )).
fof(d1_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( r1_mmlquery(A,B,C) <=> r2_hidden(k4_tarski(A,B),C) ) )).
fof(d1_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k1_mod_2(A) = g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers))) ) )).
fof(d1_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => k2_mod_4(A) = g6_algstr_0(u1_struct_0(A),u1_algstr_0(A),k1_mod_4(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A)),k5_struct_0(A),k4_struct_0(A)) ) )).
fof(d1_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => k1_modal_1(A) = k1_xboole_0 ) )).
fof(d1_modelc_2,axiom,( ! [A] : ( ( v7_ordinal1(A) => k1_modelc_2(A) = A ) & ( ~ v7_ordinal1(A) => k1_modelc_2(A) = k5_numbers ) ) )).
fof(d1_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v4_modelc_2(A) => k2_modelc_3(A) = k2_tarski(k11_modelc_2(A),k12_modelc_2(A)) ) & ( v5_modelc_2(A) => k2_modelc_3(A) = k1_tarski(k11_modelc_2(A)) ) & ( v6_modelc_2(A) => k2_modelc_3(A) = k1_xboole_0 ) & ( v7_modelc_2(A) => k2_modelc_3(A) = k1_tarski(k11_modelc_2(A)) ) & ( v8_modelc_2(A) => k2_modelc_3(A) = k1_tarski(k12_modelc_2(A)) ) & ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v6_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) & k2_modelc_3(A) != k1_xboole_0 ) ) ) )).
fof(d1_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_moebius1(A) <=> ? [B] : ( v7_ordinal1(B) & v1_int_2(B) & r1_nat_d(k1_newton(B,2),A) ) ) ) )).
fof(d1_moebius2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k1_moebius2 <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k7_xcmplx_0(1,k10_newton(B)) ) ) ) )).
fof(d1_monoid_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v1_monoid_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) ) )).
fof(d1_monoid_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : k1_monoid_1(A,B,C,D) = k4_funct_6(A,k4_tarski(B,C),D) ) )).
fof(d1_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_morph_01(A,B,C) = a_3_0_morph_01(A,B,C) ) ) ) )).
fof(d1_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m3_pboole(D,A,B) => ! [E] : ( m2_pboole(E,A,B,C) => ! [F] : ( m2_pboole(F,A,D,C) => ( F = k1_msafree(A,B,C,D,E) <=> ! [G] : ( r2_tarski(G,A) => k1_funct_1(F,G) = k5_relat_1(k1_funct_1(E,G),k1_funct_1(D,G)) ) ) ) ) ) ) ) )).
fof(d1_msafree1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_prob_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_card_3(B),k3_card_3(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_card_3(B),k3_card_3(C)))) ) => ( E = k1_msafree1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,A) => ! [G] : ( r2_tarski(G,k1_funct_1(B,F)) => k1_funct_1(E,G) = k1_funct_1(k1_msualg_3(A,B,C,D,F),G) ) ) ) ) ) ) ) ) )).
fof(d1_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( ( ~ v11_struct_0(A) => k1_msafree2(A) = a_1_0_msafree2(A) ) & ( v11_struct_0(A) => k1_msafree2(A) = k1_xboole_0 ) ) ) )).
fof(d1_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v3_msualg_1(C,A) & l3_msualg_1(C,A) ) => ( C = k1_msafree3(A,B) <=> ? [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))) & C = k12_msualg_2(A,k11_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))),D) & r8_pboole(u1_struct_0(A),D,k1_equation(u1_struct_0(A),B,k15_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))) ) ) ) ) ) )).
fof(d1_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => k1_msafree5(A,B,C,D) = D ) ) ) ) )).
fof(d1_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k1_msaterm(A,B) = k4_dtconstr(k5_msafree(A,B)) ) ) )).
fof(d1_msinst_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v6_altcat_1(B) & l2_altcat_1(B) ) => ( B = k1_msinst_1(A) <=> ( u1_struct_0(B) = k4_msalimit(A) & ! [C] : ( m3_msalimit(C,k4_msalimit(A)) => ! [D] : ( m3_msalimit(D,k4_msalimit(A)) => k1_binop_1(u1_altcat_1(B),C,D) = k5_msalimit(C,D) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( r2_tarski(C,k4_msalimit(A)) & r2_tarski(D,k4_msalimit(A)) & r2_tarski(E,k4_msalimit(A)) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ( ( r2_hidden(k4_tarski(F,G),k1_binop_1(u1_altcat_1(B),C,D)) & r2_hidden(k4_tarski(H,I),k1_binop_1(u1_altcat_1(B),D,E)) ) => k1_binop_1(k4_altcat_1(u1_struct_0(B),u1_altcat_1(B),u2_altcat_1(B),C,D,E),k4_tarski(H,I),k4_tarski(F,G)) = k4_tarski(k3_relat_1(F,H),k3_relat_1(G,I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m1_graph_1(B,A) <=> ( m2_finseq_1(B,u4_struct_0(A)) & ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & r1_graph_2(A,C,B) ) ) ) ) ) )).
fof(d1_msscyc_2,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( B = k1_msscyc_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ? [E] : ( C = k4_tarski(D,E) & r2_tarski(D,u4_struct_0(A)) & r2_tarski(E,u1_struct_0(A)) & ? [F] : ( v7_ordinal1(F) & ? [G] : ( m1_subset_1(G,k13_finseq_1(u1_struct_0(A))) & k1_funct_1(u1_msualg_1(A),D) = G & r2_tarski(F,k4_finseq_1(G)) & k1_funct_1(G,F) = E ) ) ) ) ) ) )).
fof(d1_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k3_mssubfam(A,B,C) <=> ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,E)))) => ~ ( F = k1_funct_1(C,E) & k1_funct_1(D,E) = k8_setfam_1(k1_funct_1(B,E),F) ) ) ) ) ) ) ) )).
fof(d1_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k1_msualg_1(A,B) = k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),u1_msualg_1(A),B) ) ) )).
fof(d1_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_msualg_2(B,A) <=> ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & k1_funct_1(u1_msualg_1(A),C) = k1_xboole_0 & k1_funct_1(u2_msualg_1(A),C) = B ) ) ) ) )).
fof(d1_msualg_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,B,B) => ( C = k2_msualg_3(A,B) <=> ! [D] : ( r2_tarski(D,A) => k1_funct_1(C,D) = k6_partfun1(k1_funct_1(B,D)) ) ) ) ) )).
fof(d1_msualg_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( m1_msualg_4(D,A,B,C) <=> ! [E] : ( r2_tarski(E,A) => m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) ) ) ) ) )).
fof(d1_msualg_5,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( C = k1_msualg_5(A,B) <=> ( r1_relset_1(A,A,B,C) & ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_relset_1(A,A,B,D) => r1_relset_1(A,A,C,D) ) ) ) ) ) ) )).
fof(d1_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v1_msualg_6(B,A) <=> ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ~ ( k3_msualg_1(A,C,B) != k1_xboole_0 & k4_msualg_1(A,C,B) = k1_xboole_0 ) ) ) ) ) )).
fof(d1_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)))) => k1_msualg_8(A,B,C) = k16_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),a_3_0_msualg_8(A,B,C)) ) ) ) )).
fof(d1_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,k6_pboole(A,C,D)) => ! [F] : ( m2_pboole(F,A,B,C) => ( F = k1_msualg_9(A,B,C,D,E) <=> ! [G] : ( r2_tarski(G,A) => k1_funct_1(F,G) = k11_mcart_1(k1_funct_1(E,G)) ) ) ) ) ) ) ) )).
fof(d1_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( r1_msuhom_1(A,B) <=> ( r1_tarski(u1_struct_0(A),u1_struct_0(B)) & r1_tarski(u4_struct_0(A),u4_struct_0(B)) & k2_partfun1(u4_struct_0(B),k3_finseq_2(u1_struct_0(B)),u1_msualg_1(B),u4_struct_0(A)) = u1_msualg_1(A) & k2_partfun1(u4_struct_0(B),u1_struct_0(B),u2_msualg_1(B),u4_struct_0(A)) = u2_msualg_1(A) ) ) ) ) )).
fof(d1_multop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : k1_multop_1(A,B,C,D) = k1_funct_1(A,k3_xtuple_0(B,C,D)) ) )).
fof(d1_mycielsk,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k1_mycielsk(A,B,C) = a_3_0_mycielsk(A,B,C) ) ) )).
fof(d1_nagata_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_nagata_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(C,D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(E,B) & r2_tarski(F,B) ) => ( r1_xboole_0(D,E) | r1_xboole_0(D,F) | E = F ) ) ) ) ) ) ) ) ) )).
fof(d1_nagata_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) ) => ( A = k1_nagata_2 <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(A,k4_tarski(B,C)) = k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,B),k1_nat_1(k3_xcmplx_0(2,C),1)),1) ) ) ) ) )).
fof(d1_nat_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => ( B = k3_nat_1(A) <=> ( r2_tarski(B,A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,A) => r1_xxreal_0(B,C) ) ) ) ) ) & ( ~ ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => ( B = k3_nat_1(A) <=> B = k5_numbers ) ) ) ) )).
fof(d1_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_zfmisc_1(A) <=> ( A = k5_numbers | A = 1 ) ) ) )).
fof(d1_nat_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k1_nat_3(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_newton(k1_funct_1(A,D),B) ) ) ) ) ) ) )).
fof(d1_nat_4,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( C = k1_nat_4(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( r2_tarski(D,k4_finseq_1(C)) => k1_recdef_1(C,D) = k11_nat_3(k1_recdef_1(A,D),B) ) ) ) ) ) ) )).
fof(d1_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( B = k2_nat_5(A) <=> ! [C] : ( v7_ordinal1(C) => k1_recdef_1(B,C) = k1_newton(C,A) ) ) ) ) )).
fof(d1_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( v1_nat_6(B,A) <=> ~ r1_xxreal_0(B,A) ) ) ) )).
fof(d1_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k1_nat_d(A,B) <=> ~ ( ! [D] : ( v7_ordinal1(D) => ~ ( A = k2_xcmplx_0(k3_xcmplx_0(B,C),D) & ~ r1_xxreal_0(B,D) ) ) & ~ ( C = k5_numbers & B = k5_numbers ) ) ) ) ) ) )).
fof(d1_nat_lat,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) ) => ( A = k1_nat_lat <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(A,C,B) = k6_nat_d(C,B) ) ) ) ) )).
fof(d1_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)))) ) => ( B = k1_nbvectsp(A) <=> ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => k4_binop_1(k4_finseq_2(A,k5_margrel1),B,C,D) = k11_descip_1(A,C,D) ) ) ) ) ) )).
fof(d1_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m1_ncfcont1(C,A,B) <=> ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(a_3_0_ncfcont1(A,B,D),C) ) ) ) ) ) )).
fof(d1_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r1_ncfcont2(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),D)) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( r2_tarski(G,A) & r2_tarski(H,A) & ~ r1_xxreal_0(F,k2_normsp_0(B,k5_algstr_0(B,G,H))) & r1_xxreal_0(E,k2_normsp_0(C,k5_algstr_0(C,k7_partfun1(u1_struct_0(C),D,G),k7_partfun1(u1_struct_0(C),D,H)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_ndiff_3(B,A) <=> ( v1_partfun1(B,k1_numbers) & ! [C] : ( ( v9_ordinal1(C) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v3_normsp_1(k1_ndiff_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,C,B),k37_valued_1(k4_ordinal1,k1_numbers,C)),A) & k5_normsp_1(A,k1_ndiff_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,C,B),k37_valued_1(k4_ordinal1,k1_numbers,C))) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(d1_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_ndiff_4(A,B,C) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & B = D & r1_ndiff_3(k4_real_ns1(A),D,C) ) ) ) ) ) )).
fof(d1_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k1_ndiff_6(A) = A ) )).
fof(d1_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k7_prvect_3(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k7_prvect_3(A,B))))) ) => ( D = k1_ndiff_7(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k7_prvect_3(A,B)),D,E) = k4_tarski(E,k2_xtuple_0(C)) ) ) ) ) ) ) )).
fof(d1_neckla_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_neckla_2(A) <=> ~ r1_necklace(k4_necklace(4),A) ) ) )).
fof(d1_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( r1_necklace(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v2_funct_1(C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_hidden(k4_tarski(D,E),u1_orders_2(A)) <=> r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),u1_orders_2(B)) ) ) ) ) ) ) ) )).
fof(d1_net_1,axiom,( ! [A] : ( l1_petri(A) => k1_net_1(A) = k2_xboole_0(u1_petri(A),u2_petri(A)) ) )).
fof(d1_newton,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v7_ordinal1(B) => k1_newton(A,B) = k19_rvsum_1(k2_finseq_2(B,A)) ) ) )).
fof(d1_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m1_nfcont_1(C,A,B) <=> ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(a_3_0_nfcont_1(A,B,D),C) ) ) ) ) ) )).
fof(d1_nfcont_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r1_nfcont_2(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),D)) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( r2_tarski(G,A) & r2_tarski(H,A) & ~ r1_xxreal_0(F,k2_normsp_0(B,k5_algstr_0(B,G,H))) & r1_xxreal_0(E,k2_normsp_0(C,k5_algstr_0(C,k7_partfun1(u1_struct_0(C),D,G),k7_partfun1(u1_struct_0(C),D,H)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_nfcont_3(A,B,C) <=> ( r2_hidden(C,k1_relset_1(k1_numbers,B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_tarski(k2_relset_1(k1_numbers,D),k1_relset_1(k1_numbers,B)) & v2_comseq_2(D) & k1_seq_2(D) = C ) => ( v3_normsp_1(k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,D,B),A) & k7_partfun1(u1_struct_0(A),B,C) = k5_normsp_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,D,B)) ) ) ) ) ) ) ) ) )).
fof(d1_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_nfcont_4(A,B,C) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & B = D & r1_nfcont_3(k4_real_ns1(A),D,C) ) ) ) ) ) )).
fof(d1_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => ( r1_normform(A,B,C,D) <=> ( r1_tarski(k2_domain_1(A,B,C),k2_domain_1(A,B,D)) & r1_tarski(k3_domain_1(A,B,C),k3_domain_1(A,B,D)) ) ) ) ) ) ) )).
fof(d1_normsp_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_normsp_0(A,B) = k3_funct_2(u1_struct_0(A),k1_numbers,u1_normsp_0(A),B) ) ) )).
fof(d1_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ( v2_normsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( k2_normsp_0(A,k1_rlvect_1(A,B,D)) = k3_xcmplx_0(k9_complex1(D),k2_normsp_0(A,B)) & r1_xxreal_0(k2_normsp_0(A,k1_algstr_0(A,B,C)),k2_xcmplx_0(k2_normsp_0(A,B),k2_normsp_0(A,C))) ) ) ) ) ) ) )).
fof(d1_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) => ( B = k1_normsp_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),k1_numbers,B,C,D) = k2_normsp_0(A,k5_algstr_0(A,C,D)) ) ) ) ) ) )).
fof(d1_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_normsp_3(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) & D = B & C = k2_pre_topc(k4_normsp_2(A),D) ) ) ) ) ) )).
fof(d1_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k1_ntalgo_1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k8_nat_1(k4_ordinal1,D,k5_numbers) = k1_int_2(A) & k8_nat_1(k4_ordinal1,E,k5_numbers) = k1_int_2(B) & ! [F] : ( v7_ordinal1(F) => ( k8_nat_1(k4_ordinal1,D,k1_nat_1(F,1)) = k8_nat_1(k4_ordinal1,E,F) & k8_nat_1(k4_ordinal1,E,k1_nat_1(F,1)) = k4_nat_d(k8_nat_1(k4_ordinal1,D,F),k8_nat_1(k4_ordinal1,E,F)) ) ) & C = k8_nat_1(k4_ordinal1,D,k3_nat_1(a_1_0_ntalgo_1(E))) ) ) ) ) ) ) )).
fof(d1_numbers,axiom,( k1_numbers = k6_subset_1(k2_xboole_0(k2_arytm_2,k2_zfmisc_1(k1_tarski(k5_ordinal1),k2_arytm_2)),k1_tarski(k4_tarski(k5_ordinal1,k5_ordinal1))) )).
fof(d1_numeral1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k1_numeral1(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) & k1_relset_1(k4_ordinal1,D) = k1_relset_1(k4_ordinal1,A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,D)) => k1_recdef_1(D,E) = k3_xcmplx_0(k1_recdef_1(A,E),k1_newton(B,E)) ) ) & C = k7_afinsq_2(D) ) ) ) ) ) )).
fof(d1_numeral2,axiom,( k3_fib_num2 = a_0_0_numeral2 )).
fof(d1_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_numpoly1(A) = k16_rvsum_1(k1_finseq_2(A)) ) )).
fof(d1_openlatt,axiom,( ! [A] : ( l1_pre_topc(A) => k1_openlatt(A) = u1_pre_topc(A) ) )).
fof(d1_oposet_1,axiom,( k1_oposet_1 = g2_qmax_1(k1_tarski(k5_ordinal1),k6_partfun1(k1_tarski(k5_ordinal1)),k8_funct_5) )).
fof(d1_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k2_oppcat_1(A) = g1_cat_1(u1_struct_0(A),u4_struct_0(A),u2_graph_1(A),u1_graph_1(A),k1_oppcat_1(u4_struct_0(A),u4_struct_0(A),u4_struct_0(A),u1_cat_1(A))) ) )).
fof(d1_ordeq_01,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_ordeq_01(A) <=> ? [B] : ( r1_abian(B,A) & ! [C] : ( r1_abian(C,A) => B = C ) ) ) ) )).
fof(d1_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r1_xxreal_0(D,E) & r3_nfcont_1(A,A,C,k1_relset_1(u1_struct_0(A),C)) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A)),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A)),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A))))) ) => ( F = k1_ordeq_02(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A))) => ? [H] : ( v1_funct_1(H) & v1_nfcont_3(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ? [I] : ( v1_funct_1(I) & v1_nfcont_3(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ? [J] : ( v1_funct_1(J) & v1_nfcont_3(J,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & G = H & k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A)),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A)),F,G) = I & k1_relset_1(k1_numbers,H) = k3_integra5(D,E) & k1_relset_1(k1_numbers,I) = k3_integra5(D,E) & r2_relset_1(k1_numbers,u1_struct_0(A),J,k1_partfun1(k1_numbers,u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H,C)) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,k3_integra5(D,E)) => k7_partfun1(u1_struct_0(A),I,K) = k3_rlvect_1(A,B,k6_integr18(A,J,D,K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_orders_3,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_3(A) <=> r2_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),k6_partfun1(u1_struct_0(A))) ) ) )).
fof(d1_orders_4,axiom,( ! [A] : ( l1_orders_2(A) => ( m1_orders_4(A) <=> ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) | v2_struct_0(A) ) ) ) )).
fof(d1_ordinal1,axiom,( ! [A] : k1_ordinal1(A) = k2_xboole_0(A,k1_tarski(A)) )).
fof(d1_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => k1_ordinal2(A) = k1_funct_1(A,k3_tarski(k9_xtuple_0(A))) ) )).
fof(d1_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( C = k1_ordinal3(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(B) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k10_ordinal2(A,k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(d1_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) ) => ( C = k1_ordinal4(A,B) <=> ( k9_xtuple_0(C) = k10_ordinal2(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(A)) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(B)) => k1_funct_1(C,k10_ordinal2(k9_xtuple_0(A),D)) = k1_funct_1(B,D) ) ) ) ) ) ) ) )).
fof(d1_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) ) => ( v1_ordinal5(A) <=> ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r2_tarski(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d1_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) <=> ? [B] : ( v3_ordinal1(B) & r1_tarski(A,B) ) ) )).
fof(d1_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_symsp_1(B,A) ) => ( v1_ortsp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ~ ( C != k4_struct_0(B) & D != k4_struct_0(B) & E != k4_struct_0(B) & F != k4_struct_0(B) & ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,I,C) & ~ r1_orders_2(B,I,D) & ~ r1_orders_2(B,I,E) & ~ r1_orders_2(B,I,F) ) ) ) & ( r1_orders_2(B,C,D) => r1_orders_2(B,k3_vectsp_1(A,B,H,C),D) ) & ( ( r1_orders_2(B,D,C) & r1_orders_2(B,E,C) ) => r1_orders_2(B,k3_rlvect_1(B,D,E),C) ) & ~ ( ~ r1_orders_2(B,D,C) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ r1_orders_2(B,k5_algstr_0(B,G,k3_vectsp_1(A,B,I,D)),C) ) ) & ( ( r1_orders_2(B,C,k5_algstr_0(B,D,E)) & r1_orders_2(B,D,k5_algstr_0(B,E,C)) ) => r1_orders_2(B,E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( m1_osafree(C,A,B) <=> ! [D] : ( m2_osalg_2(D,A,B) => ( r8_pboole(u1_struct_0(A),D,k2_osalg_2(A,C)) => r8_pboole(u1_struct_0(A),u3_msualg_1(A,k10_osalg_2(A,B,D)),u3_msualg_1(A,B)) ) ) ) ) ) ) )).
fof(d1_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funcop_1(B) ) => ( v1_osalg_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,C,D) => ! [E] : ( r2_tarski(E,k9_xtuple_0(k1_funct_1(B,C))) => ( r2_tarski(E,k9_xtuple_0(k1_funct_1(B,D))) & k1_funct_1(k1_funct_1(B,C),E) = k1_funct_1(k1_funct_1(B,D),E) ) ) ) ) ) ) ) ) )).
fof(d1_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msualg_4(D,u1_struct_0(A),B,C) => ( v1_osalg_4(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r3_orders_2(A,E,F) => ! [G] : ! [H] : ( ( r2_tarski(G,k1_funct_1(B,E)) & r2_tarski(H,k1_funct_1(C,E)) ) => ( r2_hidden(k4_tarski(G,H),k1_msualg_4(u1_struct_0(A),B,C,D,E)) <=> r2_hidden(k4_tarski(G,H),k1_msualg_4(u1_struct_0(A),B,C,D,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_papdesaf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v1_translac(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) & r2_analoaf(A,B,E,C,D) ) => r2_analoaf(A,B,C,B,D) ) ) ) ) ) ) ) )).
fof(d1_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))))) ) => ( B = k1_parsp_1(A) <=> ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => k4_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),B,C,D) = k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k3_rlvect_1(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D)),k3_rlvect_1(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D)),k3_rlvect_1(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D))) ) ) ) ) ) )).
fof(d1_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ( v1_parsp_2(A) <=> ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_parsp_1(A,B,C,B,D) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_parsp_1(A,C,D,B,E) & r1_parsp_1(A,B,C,D,E) & r1_parsp_1(A,B,D,C,E) ) => r1_parsp_1(A,B,C,B,D) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_parsp_1(A,B,E,C,F) & r1_parsp_1(A,B,E,D,G) & r1_parsp_1(A,B,C,E,F) & r1_parsp_1(A,B,D,E,G) ) => ( r1_parsp_1(A,B,E,B,C) | r1_parsp_1(A,B,E,B,D) | r1_parsp_1(A,C,D,F,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_partfun1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k3_partfun1(A,B,C) = k5_relat_1(k6_relat_1(C,A),B) ) )).
fof(d1_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_1(C) <=> ? [D] : ( m1_subset_1(D,B) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,C)) => k1_funct_1(C,E) = D ) ) ) ) ) ) ) )).
fof(d1_partfun3,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_partfun3(A) <=> ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,k10_xtuple_0(A)) & r1_xxreal_0(B,k5_numbers) ) ) ) ) )).
fof(d1_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( r1_partit1(A,B,C) <=> ? [D] : ( r1_tarski(D,B) & D != k1_xboole_0 & C = k3_tarski(D) ) ) ) ) )).
fof(d1_partit_2,axiom,( ! [A] : ! [B] : k1_partit_2(A,B) = k1_xboole_0 )).
fof(d1_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pboole(A,B,C) <=> ! [D] : ( r2_hidden(D,A) => r2_tarski(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) )).
fof(d1_pcomps_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_pcomps_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(C,D) & v3_pre_topc(D,A) & v1_finset_1(a_3_0_pcomps_1(A,B,D)) ) ) ) ) ) )).
fof(d1_pcomps_2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( m1_subset_1(C,A) => k1_pcomps_2(A,B,C) = k3_tarski(k1_wellord1(B,C)) ) ) )).
fof(d1_pcs_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( C = k12_pralg_1(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = u1_struct_0(k10_pralg_1(A,B,D)) ) ) ) ) ) )).
fof(d1_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_numbers))) ) => ( C = k1_pdiff_1(A,B) <=> ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => k3_funct_2(k1_euclid(B),k1_numbers,C,D) = k1_funct_1(D,A) ) ) ) ) ) )).
fof(d1_pdiff_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k1_pdiff_2(A,B,C,D) = k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,D),C) ) ) ) ) )).
fof(d1_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( r1_pdiff_4(A,B) <=> ( r1_tarski(B,k1_relset_1(k1_euclid(3),A)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ( r2_tarski(C,B) => r3_pdiff_1(3,1,k2_partfun1(k1_euclid(3),k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d1_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r1_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,C) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,k1_pdiff_3(1,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(1,3,A),B),I),k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(1,3,A),B),C)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,C)),k1_funct_1(H,k6_xcmplx_0(I,C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ( v1_pdiff_6(C,A,B) <=> ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) => k3_funct_2(k1_euclid(B),k1_euclid(A),C,k7_euclid(B,D,E)) = k7_euclid(A,k3_funct_2(k1_euclid(B),k1_euclid(A),C,D),k3_funct_2(k1_euclid(B),k1_euclid(A),C,E)) ) ) ) ) ) ) )).
fof(d1_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ( r1_pdiff_7(A,B,C) <=> r1_pdiff_1(A,1,k3_pdiff_1(A,B),C) ) ) ) ) )).
fof(d1_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( r1_tarski(C,k1_relset_1(k1_euclid(A),D)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k9_funct_2(k1_euclid(A),k1_euclid(B))))) ) => ( E = k1_pdiff_9(A,B,C,D) <=> ( k1_relset_1(k1_euclid(A),E) = C & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_tarski(F,C) => k7_partfun1(k9_funct_2(k1_euclid(A),k1_euclid(B)),E,F) = k8_pdiff_1(A,B,D,F) ) ) ) ) ) ) ) ) ) )).
fof(d1_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_pencil_1(A,B,C) <=> ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_pre_topc(A)) => ~ r1_tarski(k2_tarski(B,C),D) ) ) ) ) ) ) )).
fof(d1_pencil_2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_pencil_2(A,B,C,D) = k8_finseq_1(A,k17_finseq_1(A,k7_nat_d(C,1),B),k2_rfinseq(A,D,B)) ) ) ) )).
fof(d1_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k1_pencil_3(A,B,C) = k1_card_1(a_3_0_pencil_3(A,B,C)) ) ) ) )).
fof(d1_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k3_vectsp_5(A,B))) => ( ( m1_vectsp_4(C,A,D) => ( E = k1_pencil_4(A,B,C,D) <=> ! [F] : ( ( v7_vectsp_1(F,A) & m1_vectsp_4(F,A,B) ) => ( r2_tarski(F,E) <=> ( m1_vectsp_4(C,A,F) & m1_vectsp_4(F,A,D) ) ) ) ) ) & ( ~ m1_vectsp_4(C,A,D) => ( E = k1_pencil_4(A,B,C,D) <=> E = k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(d1_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_pepin(A,B,C) = k4_nat_d(k1_newton(B,A),C) ) ) ) )).
fof(d1_petri_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( r1_tarski(C,B) => k1_petri_2(A,B,C,D) = a_4_0_petri_2(A,B,C,D) ) ) ) )).
fof(d1_petri_df,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( m2_finseq_1(E,B) => ( ( ~ v1_xboole_0(C) => ( m1_petri_df(E,A,B,C,D) <=> ( k3_finseq_1(E) = k3_finseq_1(o_2_0_petri_df(A,C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(D,k1_funct_1(o_2_0_petri_df(A,C),F)) ) ) ) ) ) & ( v1_xboole_0(C) => ( m1_petri_df(E,A,B,C,D) <=> E = k6_finseq_1(B) ) ) ) ) ) ) ) )).
fof(d1_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r1_pnproc_1(A,B,C) <=> ! [D] : ( r2_hidden(D,A) => k1_funct_1(B,D) = k1_funct_1(C,D) ) ) ) ) )).
fof(d1_polyeq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k1_polyeq_1(A,B,C) = k2_xcmplx_0(k3_xcmplx_0(A,C),B) ) ) ) )).
fof(d1_polyeq_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => k1_polyeq_2(A,B,C,D,E,F) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_newton(F,4)),k3_xcmplx_0(B,k1_newton(F,3))),k3_xcmplx_0(C,k1_square_1(F))),k3_xcmplx_0(D,F)),E) ) ) ) ) ) ) )).
fof(d1_polyeq_4,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => k1_polyeq_4(A,B,C,D,E,F,G) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_newton(G,5)),k3_xcmplx_0(B,k1_newton(G,4))),k3_xcmplx_0(C,k1_newton(G,3))),k3_xcmplx_0(D,k1_square_1(G))),k3_xcmplx_0(E,G)),F) ) ) ) ) ) ) ) )).
fof(d1_polyeq_5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_xcmplx_0(B) => k1_polyeq_5(A,B) = k3_xcmplx_0(k1_power(A,k9_complex1(B)),k2_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k1_comptrig(B),A)),k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k1_comptrig(B),A)),k7_complex1))) ) ) )).
fof(d1_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k9_fvsum_1(A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(B) & ! [E] : ( r2_hidden(E,k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A),D,E) = k6_algstr_0(A,C,k7_partfun1(u1_struct_0(A),B,E)) ) ) ) ) ) ) ) )).
fof(d1_polynom3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ( r1_polynom3(A,B,C) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & r2_tarski(D,k2_finseq_1(A)) & ~ r1_xxreal_0(k1_recdef_1(C,D),k1_recdef_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(D,E) | k1_recdef_1(B,E) = k1_recdef_1(C,E) ) ) ) ) ) ) ) ) )).
fof(d1_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k1_polynom4(A,B) <=> ( k8_nat_1(u1_struct_0(A),C,k7_nat_d(k1_algseq_1(A,B),1)) = k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D != k7_nat_d(k1_algseq_1(A,B),1) => k8_nat_1(u1_struct_0(A),C,D) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(d1_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k1_polynom5(A,B,C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C) ) ) ) )).
fof(d1_polynom6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) => ! [D] : ( m2_subset_1(D,k14_pre_poly(B),k15_pre_poly(B)) => ! [E] : ( m2_subset_1(E,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) => ( E = k1_polynom6(A,B,C,D) <=> ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(F,A) => k1_funct_1(E,F) = k1_funct_1(C,F) ) & ( r2_tarski(F,k6_subset_1(k10_ordinal2(A,B),A)) => k1_funct_1(E,F) = k1_funct_1(D,k5_ordinal3(F,A)) ) ) ) ) ) ) ) ) ) )).
fof(d1_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_polynom7(C,A,B) <=> C != k8_polynom1(A,B) ) ) ) )).
fof(d1_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_polynom8(A,B) = k5_binom(A,k5_struct_0(A),B) ) ) )).
fof(d1_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( E = k1_polyred(A,B,C,D) <=> ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ( r3_pre_poly(A,B,F) => ( k4_polynom1(A,C,E,F) = k4_polynom1(A,C,D,k12_pre_poly(A,F,B)) & ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( ~ r3_pre_poly(A,B,G) => k4_polynom1(A,C,E,G) = k4_struct_0(C) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_poset_1,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_poset_1(A) <=> ( v1_yellow_0(A) & ! [B] : ( ( v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(B) => r1_yellow_0(A,B) ) ) ) ) ) )).
fof(d1_poset_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_poset_2(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_orders_2(A,C,D) <=> ( C = B | C = D ) ) ) ) ) ) ) )).
fof(d1_power,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( ( ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(1,A) ) => k1_power(A,B) = k2_prepower(A,B) ) & ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ v1_abian(A) & k1_power(A,B) != k4_xcmplx_0(k2_prepower(A,k4_xcmplx_0(B))) ) ) ) ) )).
fof(d1_pralg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m2_finseq_1(D,A) => ( D = k1_pralg_1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_xtuple_0(k1_funct_1(C,E)) ) ) ) ) ) ) ) ) )).
fof(d1_pralg_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k1_pralg_2(A) <=> ( ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & r2_tarski(D,k9_xtuple_0(A)) & C = k9_funct_6(D) ) ) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k1_funct_1(A,k9_funct_6(C)) ) ) ) ) ) ) )).
fof(d1_pralg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => k1_pralg_3(A,B,C) = k1_funct_1(k5_msualg_1(A,C,B),k1_xboole_0) ) ) ) )).
fof(d1_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k1_pre_ff(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & B = k2_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,A)) & k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,k5_numbers) = k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,1) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,k1_nat_1(D,1)) = k1_domain_1(k4_ordinal1,k4_ordinal1,k3_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,D)),k1_nat_1(k2_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,D)),k3_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,D)))) ) ) ) ) ) )).
fof(d1_pre_poly,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k3_finseq_2(A)) => ! [C] : ( m2_finseq_2(C,A,k3_finseq_2(A)) => ( C = k5_pre_poly(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)))) & ! [E] : ( m2_finseq_2(E,A,k3_finseq_2(A)) => ! [F] : ( m2_finseq_2(F,A,k3_finseq_2(A)) => k4_binop_1(k3_finseq_2(A),D,E,F) = k1_pre_poly(A,E,F) ) ) & C = k1_finsop_1(k3_finseq_2(A),B,D) ) ) ) ) )).
fof(d1_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_pre_topc(A) <=> ( r2_tarski(u1_struct_0(A),u1_pre_topc(A)) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( r1_tarski(B,u1_pre_topc(A)) => r2_tarski(k5_setfam_1(u1_struct_0(A),B),u1_pre_topc(A)) ) ) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,u1_pre_topc(A)) & r2_tarski(C,u1_pre_topc(A)) ) => r2_tarski(k9_subset_1(u1_struct_0(A),B,C),u1_pre_topc(A)) ) ) ) ) ) ) )).
fof(d1_prefer_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_prefer_1(A,B,C) <=> ( r1_xboole_0(A,B) & r1_xboole_0(B,C) & r1_xboole_0(A,C) ) ) )).
fof(d1_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_prelamb(A,B,C) = k4_binop_1(u1_struct_0(A),u1_prelamb(A),B,C) ) ) ) )).
fof(d1_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k1_prepower(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k1_newton(A,C) ) ) ) ) )).
fof(d1_prgcor_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_xxreal_0(k5_numbers,A) => ( r1_xxreal_0(B,k5_numbers) | ! [C] : ( v1_int_1(C) => ( C = k1_prgcor_1(A,B) <=> ? [D] : ( m2_finseq_1(D,k4_numbers) & ? [E] : ( m2_finseq_1(E,k4_numbers) & ? [F] : ( m2_finseq_1(F,k4_numbers) & k3_finseq_1(D) = k2_xcmplx_0(A,1) & k3_finseq_1(E) = k2_xcmplx_0(A,1) & k3_finseq_1(F) = k2_xcmplx_0(A,1) & ( ~ r1_xxreal_0(B,A) => C = k5_numbers ) & ( r1_xxreal_0(B,A) => ( k1_funct_1(D,1) = B & ? [G] : ( v1_int_1(G) & r1_xxreal_0(1,G) & r1_xxreal_0(G,A) & ! [H] : ( v1_int_1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(G,H) | ( k1_funct_1(D,k2_xcmplx_0(H,1)) = k3_xcmplx_0(k1_funct_1(D,H),2) & r1_xxreal_0(k1_funct_1(D,k2_xcmplx_0(H,1)),A) ) ) ) ) & k1_funct_1(D,k2_xcmplx_0(G,1)) = k3_xcmplx_0(k1_funct_1(D,G),2) & ~ r1_xxreal_0(k1_funct_1(D,k2_xcmplx_0(G,1)),A) & k1_funct_1(F,k2_xcmplx_0(G,1)) = k5_numbers & k1_funct_1(E,k2_xcmplx_0(G,1)) = A & ! [H] : ( v1_int_1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,G) ) => ( ( r1_xxreal_0(k1_funct_1(D,k6_xcmplx_0(k2_xcmplx_0(G,1),H)),k1_funct_1(E,k6_xcmplx_0(k2_xcmplx_0(G,1),k6_xcmplx_0(H,1)))) => ( k1_funct_1(E,k6_xcmplx_0(k2_xcmplx_0(G,1),H)) = k6_xcmplx_0(k1_funct_1(E,k6_xcmplx_0(k2_xcmplx_0(G,1),k6_xcmplx_0(H,1))),k1_funct_1(D,k6_xcmplx_0(k2_xcmplx_0(G,1),H))) & k1_funct_1(F,k6_xcmplx_0(k2_xcmplx_0(G,1),H)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(F,k6_xcmplx_0(k2_xcmplx_0(G,1),k6_xcmplx_0(H,1))),2),1) ) ) & ( ~ r1_xxreal_0(k1_funct_1(D,k6_xcmplx_0(k2_xcmplx_0(G,1),H)),k1_funct_1(E,k6_xcmplx_0(k2_xcmplx_0(G,1),k6_xcmplx_0(H,1)))) => ( k1_funct_1(E,k6_xcmplx_0(k2_xcmplx_0(G,1),H)) = k1_funct_1(E,k6_xcmplx_0(k2_xcmplx_0(G,1),k6_xcmplx_0(H,1))) & k1_funct_1(F,k6_xcmplx_0(k2_xcmplx_0(G,1),H)) = k3_xcmplx_0(k1_funct_1(F,k6_xcmplx_0(k2_xcmplx_0(G,1),k6_xcmplx_0(H,1))),2) ) ) ) ) ) & C = k1_funct_1(F,1) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_prgcor_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( m2_finseq_1(C,A) => ( r1_prgcor_2(A,B,C) <=> ( r1_tarski(k4_ordinal1,A) & k1_funct_1(B,k5_numbers) = k3_finseq_1(C) & ~ r1_xxreal_0(k1_afinsq_1(B),k3_finseq_1(C)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => k1_funct_1(B,D) = k1_funct_1(C,D) ) ) ) ) ) ) ) )).
fof(d1_prob_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_prob_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) => r2_tarski(k3_subset_1(A,C),B) ) ) ) ) )).
fof(d1_prob_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k2_prob_2(A,B,C) = k3_prob_1(A,C) ) ) )).
fof(d1_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( C = k1_prob_3(A,B) <=> ( k1_prob_2(A,k9_setfam_1(A),C,k5_numbers) = k1_prob_2(A,k9_setfam_1(A),B,k5_numbers) & ! [D] : ( v7_ordinal1(D) => k1_prob_2(A,k9_setfam_1(A),C,k1_nat_1(D,1)) = k5_prob_1(A,k9_setfam_1(A),k1_prob_2(A,k9_setfam_1(A),C,D),k1_prob_2(A,k9_setfam_1(A),B,k1_nat_1(D,1))) ) ) ) ) ) )).
fof(d1_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => k2_prob_4(A,B,C) = C ) ) ) )).
fof(d1_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_projdes1(A,B,C,D,E) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_collsp(A,B,C,F) & r1_collsp(A,D,E,F) ) ) ) ) ) ) ) )).
fof(d1_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( r1_projpl_1(A,B,C,D) <=> ( ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,C,D) ) ) ) ) ) ) )).
fof(d1_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,D,B) & ~ r1_incsp_1(A,D,C) & ~ ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u1_incsp_1(A)))) ) => ( E = k1_projred1(A,B,C,D) <=> ( r1_tarski(k1_relset_1(u1_incsp_1(A),E),u1_incsp_1(A)) & ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ( r2_tarski(F,k1_relset_1(u1_incsp_1(A),E)) <=> r1_incsp_1(A,F,B) ) ) & ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ( ( r1_incsp_1(A,F,B) & r1_incsp_1(A,G,C) ) => ( k1_funct_1(E,F) = G <=> ? [H] : ( m1_subset_1(H,u2_incsp_1(A)) & r1_incsp_1(A,D,H) & r1_incsp_1(A,F,H) & r1_incsp_1(A,G,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( r1_projred2(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & r1_incsp_1(A,E,B) & r1_incsp_1(A,E,C) & r1_incsp_1(A,E,D) ) ) ) ) ) ) )).
fof(d1_prvect_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)),k4_finseq_2(C,A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)),k4_finseq_2(C,A)))) ) => ( D = k2_prvect_1(A,B,C) <=> ! [E] : ( m2_finseq_2(E,A,k4_finseq_2(C,A)) => ! [F] : ( m2_finseq_2(F,A,k4_finseq_2(C,A)) => k4_binop_1(k4_finseq_2(C,A),D,E,F) = k1_prvect_1(A,C,B,E,F) ) ) ) ) ) ) ) )).
fof(d1_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( m1_prvect_2(C,A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_tarski(D,k9_xtuple_0(A)) => ( v1_funct_1(k1_funct_1(C,D)) & v1_funct_2(k1_funct_1(C,D),k2_zfmisc_1(B,k1_funct_1(A,D)),k1_funct_1(A,D)) & m1_subset_1(k1_funct_1(C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,k1_funct_1(A,D)),k1_funct_1(A,D)))) ) ) ) ) ) ) )).
fof(d1_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) => ( C = k1_prvect_3(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k4_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),C,k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,F),k1_domain_1(u1_struct_0(A),u1_struct_0(B),E,G)) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k1_algstr_0(A,D,E),k1_algstr_0(B,F,G)) ) ) ) ) ) ) ) ) )).
fof(d1_pscomp_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k1_pscomp_1(A,B) = k3_seq_4(k7_relset_1(u1_struct_0(A),k1_numbers,B,u1_struct_0(A))) ) ) )).
fof(d1_pua2mss1,axiom,( ! [A] : ( ( v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => k2_pua2mss1(A,B) = k1_funct_1(u1_unialg_1(A),B) ) ) )).
fof(d1_pythtrip,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) <=> ! [C] : ( v7_ordinal1(C) => ( ( r1_nat_d(C,A) & r1_nat_d(C,B) ) => C = 1 ) ) ) ) ) )).
fof(d1_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( C = k1_pzfmisc1(A,B) <=> ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k1_tarski(k1_funct_1(B,D)) ) ) ) ) )).
fof(d1_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) <=> ( ~ v1_xboole_0(A) & ? [B] : ( r1_tarski(k4_ordinal1,B) & A = k2_zfmisc_1(k4_ordinal1,B) ) ) ) )).
fof(d1_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => k1_qc_lang2(A) = k13_qc_lang1(A,k12_qc_lang1(A)) ) )).
fof(d1_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_qc_lang1(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_qc_lang1(A))) ) => k1_qc_lang3(A,B,C) = a_3_0_qc_lang3(A,B,C) ) ) ) )).
fof(d1_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( ( ( B = k12_qc_lang1(A) | v2_qc_lang1(B,A) ) => k1_qc_lang4(A,B) = k6_finseq_1(k9_qc_lang1(A)) ) & ( v3_qc_lang1(B,A) => k1_qc_lang4(A,B) = k12_finseq_1(k9_qc_lang1(A),k18_qc_lang1(A,B)) ) & ( v4_qc_lang1(B,A) => k1_qc_lang4(A,B) = k2_finseq_4(k9_qc_lang1(A),k19_qc_lang1(A,B),k20_qc_lang1(A,B)) ) & ~ ( B != k12_qc_lang1(A) & ~ v2_qc_lang1(B,A) & ~ v3_qc_lang1(B,A) & ~ v4_qc_lang1(B,A) & k1_qc_lang4(A,B) != k12_finseq_1(k9_qc_lang1(A),k22_qc_lang1(A,B)) ) ) ) ) )).
fof(d1_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_qc_lang1(B) => ( v1_qc_trans(B,A) <=> r1_tarski(A,B) ) ) ) )).
fof(d1_qmax_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( C = k1_qmax_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> m2_prob_1(D,A,B) ) ) ) ) )).
fof(d1_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_quantal1(B,A) <=> ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_lattices(A,k15_lattice3(A,C),D) & r2_tarski(D,B) ) ) ) ) ) )).
fof(d1_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( C = k4_quatern2(A,B) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & ? [E] : ( m1_subset_1(E,k1_numbers) & ? [F] : ( m1_subset_1(F,k1_numbers) & ? [G] : ( m1_subset_1(G,k1_numbers) & ? [H] : ( m1_subset_1(H,k1_numbers) & ? [I] : ( m1_subset_1(I,k1_numbers) & ? [J] : ( m1_subset_1(J,k1_numbers) & ? [K] : ( m1_subset_1(K,k1_numbers) & A = k5_quaterni(D,E,F,G) & B = k5_quaterni(H,I,J,K) & C = k5_quaterni(k7_xcmplx_0(k3_real_1(k3_real_1(k3_real_1(k4_real_1(H,D),k4_real_1(I,E)),k4_real_1(J,F)),k4_real_1(K,G)),k1_square_1(k27_quaterni(B))),k7_xcmplx_0(k3_real_1(k5_real_1(k5_real_1(k4_real_1(H,E),k4_real_1(I,D)),k4_real_1(J,G)),k4_real_1(K,F)),k1_square_1(k27_quaterni(B))),k7_xcmplx_0(k5_real_1(k5_real_1(k3_real_1(k4_real_1(H,F),k4_real_1(I,G)),k4_real_1(J,D)),k4_real_1(K,E)),k1_square_1(k27_quaterni(B))),k7_xcmplx_0(k5_real_1(k3_real_1(k5_real_1(k4_real_1(H,G),k4_real_1(I,F)),k4_real_1(J,E)),k4_real_1(K,D)),k1_square_1(k27_quaterni(B)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k1_quatern3(A) = k22_quaterni(A,A) ) )).
fof(d1_quaterni,axiom,( k1_quaterni = k2_xboole_0(k6_subset_1(k9_funct_2(4,k1_numbers),a_0_0_quaterni),k2_numbers) )).
fof(d1_quin_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k1_quin_1(A,B,C) = k6_xcmplx_0(k1_square_1(B),k3_xcmplx_0(k3_xcmplx_0(4,A),C)) ) ) ) )).
fof(d1_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( B = k1_quofield(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & C = k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E) & E != k4_struct_0(A) ) ) ) ) ) ) )).
fof(d1_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_radix_1(A) = k2_power(2,A) ) )).
fof(d1_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_radix_3(A) = a_1_0_radix_3(A) ) )).
fof(d1_radix_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k4_radix_3(C)) ) => ! [E] : ( ( v3_card_1(E,B) & m2_finseq_1(E,k4_radix_3(C)) ) => ( ( r2_tarski(A,k2_finseq_1(B)) & r1_xxreal_0(2,C) ) => k1_radix_4(A,B,C,D,E) = k2_xcmplx_0(k6_radix_3(k2_xcmplx_0(k7_radix_3(A,C,B,D),k7_radix_3(A,C,B,E)),C),k5_radix_3(k2_xcmplx_0(k7_radix_3(k7_nat_d(A,1),C,B,D),k7_radix_3(k7_nat_d(A,1),C,B,E)),C)) ) ) ) ) ) ) )).
fof(d1_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => ( ( r1_xxreal_0(1,A) => ( r1_xxreal_0(B,A) | k1_radix_5(A,B,C) = k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)),1) ) ) & ( ~ ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(B,A) ) => k1_radix_5(A,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d1_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(B,2)) & m2_finseq_1(D,k3_radix_1(C)) ) => ( r2_hidden(A,k2_finseq_1(k2_xcmplx_0(B,2))) => ( ( r1_xxreal_0(B,A) => k1_radix_6(A,B,C,D) = k1_funct_1(D,A) ) & ( ~ r1_xxreal_0(B,A) => k1_radix_6(A,B,C,D) = k5_numbers ) ) ) ) ) ) ) )).
fof(d1_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_eqrel_1(D,k3_group_10(A,B)) => ( r1_ramsey_1(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,D) & r1_tarski(k3_group_10(C,B),E) ) ) ) ) )).
fof(d1_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ( B = k2_random_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_numbers,B,C) = k1_rpr_1(A,C) ) ) ) ) )).
fof(d1_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_random_1(D,A,B) => ( ( r1_random_1(A,B,D,C) & r3_mesfunc6(A,B,k2_prob_4(A,B,C),k2_mesfun6c(2,A,k7_random_1(A,B,D))) ) => ! [E] : ( v1_xreal_0(E) => ( E = k1_random_2(A,B,C,D) <=> ? [F] : ( m1_random_1(F,A,B) & ? [G] : ( m1_random_1(G,A,B) & r1_funct_2(A,k1_numbers,A,k1_tarski(k8_random_1(A,B,C,D)),G,k7_funcop_1(A,k8_random_1(A,B,C,D))) & r2_funct_2(A,k1_numbers,F,k4_random_1(A,B,D,G)) & r1_random_1(A,B,F,C) & r3_mesfunc6(A,B,k2_prob_4(A,B,C),k2_mesfun6c(2,A,k7_random_1(A,B,F))) & E = k1_mesfunc6(A,B,k2_prob_4(A,B,C),k2_mesfun6c(2,A,k7_random_1(A,B,F))) ) ) ) ) ) ) ) ) ) )).
fof(d1_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_random_3(E,A,B,C,D) <=> r1_finance1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d1_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v7_vectsp_1(E,A) & m1_vectsp_4(E,A,B) ) => ( E = k1_ranknull(A,B,C,D) <=> k2_struct_0(E) = a_4_0_ranknull(A,B,C,D) ) ) ) ) ) ) )).
fof(d1_rat_1,axiom,( ! [A] : ( A = k3_numbers <=> ! [B] : ( r2_hidden(B,A) <=> ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & B = k7_xcmplx_0(C,D) ) ) ) ) )).
fof(d1_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_ratfunc1(B,A) <=> r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k9_polynom3(A)) ) ) ) )).
fof(d1_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_rcomp_1(A,B) = a_2_0_rcomp_1(A,B) ) ) )).
fof(d1_rcomp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_rcomp_3(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v2_connsp_1(C,A) ) ) ) ) ) )).
fof(d1_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( C = k1_real_3(A,B) <=> ( k8_nat_1(k4_ordinal1,C,k5_numbers) = k4_nat_d(A,B) & k8_nat_1(k4_ordinal1,C,1) = k4_nat_d(B,k4_nat_d(A,B)) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k4_ordinal1,C,k1_nat_1(D,2)) = k4_nat_d(k8_nat_1(k4_ordinal1,C,D),k8_nat_1(k4_ordinal1,C,k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(d1_real_lat,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) ) => ( A = k1_real_lat <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_binop_1(A,B,C) = k3_xxreal_0(B,C) ) ) ) ) )).
fof(d1_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)))) ) => ( B = k1_real_ns1(A) <=> ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k4_binop_1(k1_euclid(A),B,C,D) = k7_euclid(A,C,D) ) ) ) ) ) )).
fof(d1_realset1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( m1_realset1(C,A,B) <=> ! [D] : ( r2_tarski(D,k2_zfmisc_1(C,C)) => r2_tarski(k1_funct_1(B,D),C) ) ) ) ) )).
fof(d1_realset2,axiom,( k1_realset2 = k1_funct_4(k1_funct_4(k1_funct_4(k13_funcop_1(k5_numbers,k5_numbers,k5_numbers),k13_funcop_1(k5_numbers,1,1)),k13_funcop_1(1,k5_numbers,1)),k13_funcop_1(1,1,k5_numbers)) )).
fof(d1_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) => ( B = k1_realset3(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),B,C,D) = k4_binop_1(u1_struct_0(A),u1_algstr_0(A),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),k4_vectsp_1(A),D)) ) ) ) ) ) )).
fof(d1_rearran1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_rearran1(A) <=> ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) ) => ! [C] : ( v1_finset_1(C) => ( C = k1_funct_1(A,B) => k4_card_1(C) = B ) ) ) ) ) ) )).
fof(d1_relat_1,axiom,( ! [A] : ( v1_relat_1(A) <=> ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ! [D] : B != k4_tarski(C,D) ) ) )).
fof(d1_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_relat_2(A,B) <=> ! [C] : ( r2_hidden(C,B) => r2_hidden(k4_tarski(C,C),A) ) ) ) )).
fof(d1_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [D] : ( r1_relset_1(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,B) => ( r2_hidden(k4_tarski(E,F),C) => r2_hidden(k4_tarski(E,F),D) ) ) ) ) ) )).
fof(d1_relset_2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_relset_2(A,B) <=> ( k9_xtuple_0(C) = k9_setfam_1(A) & ! [D] : ( r1_tarski(D,A) => k1_funct_1(C,D) = k7_relat_1(B,D) ) ) ) ) ) )).
fof(d1_revrot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v3_funct_1(B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(B)) ) => k7_partfun1(A,B,C) = k7_partfun1(A,B,D) ) ) ) ) ) ) )).
fof(d1_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( ( A = k1_xboole_0 | B = k1_xboole_0 ) => ( C = k1_rewrite1(A,B) <=> C = k7_finseq_1(A,B) ) ) & ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ~ ( C = k1_rewrite1(A,B) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(A) = k1_nat_1(D,1) & E = k5_relat_1(A,k2_finseq_1(D)) & C = k7_finseq_1(E,B) ) ) ) ) ) ) ) ) )).
fof(d1_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( l1_rewrite3(C,B) => ( v2_rewrite3(C,A,B) <=> ( v1_relat_1(u1_rewrite3(B,C)) & v1_funct_1(u1_rewrite3(B,C)) & ~ r2_tarski(k2_flang_1(A),k10_xtuple_0(k9_xtuple_0(u1_rewrite3(B,C)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ( ( r2_hidden(k4_tarski(D,E),k9_xtuple_0(u1_rewrite3(B,C))) & r2_hidden(k4_tarski(D,F),k9_xtuple_0(u1_rewrite3(B,C))) ) => ( E = F | ! [G] : ( m1_subset_1(G,k8_afinsq_1(A)) => ( k1_flang_1(A,E,G) != F & k1_flang_1(A,F,G) != E ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_rfinseq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(A,k3_finseq_1(B)) => ( C = k1_rfinseq(A,B) <=> ( k3_finseq_1(C) = k6_xcmplx_0(k3_finseq_1(B),A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,k2_xcmplx_0(D,A)) ) ) ) ) ) & ( ~ r1_xxreal_0(A,k3_finseq_1(B)) => ( C = k1_rfinseq(A,B) <=> C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d1_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ( B = k1_rfinseq2(A) <=> ( ( k3_finseq_1(A) = k5_numbers => B = k5_numbers ) & ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(C,k4_finseq_1(A)) & D = k1_funct_1(A,C) & E = k1_funct_1(A,B) ) => r1_xxreal_0(D,E) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,C) = k1_funct_1(A,B) ) => r1_xxreal_0(B,C) ) ) ) ) ) ) ) ) )).
fof(d1_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k1_rfunct_1(A,B) <=> ( k9_xtuple_0(C) = k9_subset_1(k9_xtuple_0(B),k9_xtuple_0(A),k6_subset_1(k9_xtuple_0(B),k8_relat_1(B,k1_tarski(k5_numbers)))) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k3_xcmplx_0(k1_funct_1(A,D),k5_xcmplx_0(k1_funct_1(B,D))) ) ) ) ) ) ) )).
fof(d1_rfunct_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v5_valued_0(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(B,k1_relset_1(k1_numbers,A)) & r2_hidden(C,k1_relset_1(k1_numbers,A)) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d1_rfunct_3,axiom,( ! [A] : ( v1_xreal_0(A) => k1_rfunct_3(A) = k4_xxreal_0(A,k5_numbers) ) )).
fof(d1_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r1_rfunct_4(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,B) & r2_hidden(E,B) & r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)),B) & D != E & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(A,D)),k3_xcmplx_0(k6_xcmplx_0(1,C),k1_funct_1(A,E))),k1_funct_1(A,k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)))) ) ) ) ) ) ) ) )).
fof(d1_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_rinfsup1(A) = k2_seq_4(k2_relset_1(k1_numbers,A)) ) )).
fof(d1_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => k1_rinfsup2(A) = k8_supinf_2(k15_supinf_2(A)) ) )).
fof(d1_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_ring_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(k6_algstr_0(A,C,D),B) & ~ r2_tarski(C,B) & ~ r2_tarski(D,B) ) ) ) ) ) ) )).
fof(d1_ring_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( v1_ring_2(B,A) <=> ! [C] : ( v7_ordinal1(C) => r1_tarski(k8_nat_1(A,B,C),k8_nat_1(A,B,k1_nat_1(C,1))) ) ) ) ) )).
fof(d1_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_ringcat1(C,A,B) <=> ( v13_vectsp_1(C,A,B) & v1_group_6(C,A,B) & v6_group_1(C,A,B) ) ) ) ) ) )).
fof(d1_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rlvect_2(D,A) => ( D = k1_rlaffin1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_funct_2(u1_struct_0(A),k1_numbers,B,k5_algstr_0(A,E,C)) ) ) ) ) ) ) )).
fof(d1_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_rlaffin2(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k3_convex1(A,B)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_xboole_0(E,B) & r2_tarski(D,k3_convex1(A,E)) ) ) ) ) ) ) ) ) )).
fof(d1_rlaffin3,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) & v1_finseq_1(B) ) => ( m1_rlaffin3(B,A) <=> k10_xtuple_0(B) = A ) ) ) )).
fof(d1_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlsub_1(B,A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k3_rlvect_1(A,C,D),B) ) ) ) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k1_rlvect_1(A,D,C),B) ) ) ) ) ) ) ) )).
fof(d1_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( ( v1_rlvect_1(D) & m1_rlsub_1(D,A) ) => ( D = k1_rlsub_2(A,B,C) <=> u1_struct_0(D) = a_3_0_rlsub_2(A,B,C) ) ) ) ) ) )).
fof(d1_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_convex1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) & r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k3_rlvect_1(A,k1_rlvect_1(A,C,E),k1_rlvect_1(A,D,k6_xcmplx_0(1,E))),B) ) ) ) ) ) ) ) )).
fof(d1_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k1_rlvect_1(A,B,C) = k1_binop_1(u1_rlvect_1(A),C,B) ) ) ) )).
fof(d1_rlvect_2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( r1_struct_0(A,B) => k1_rlvect_2(A,B) = B ) ) )).
fof(d1_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlvect_3(B,A) <=> ! [C] : ( m2_rlvect_2(C,A,B) => ( k6_rlvect_2(A,C) = k4_struct_0(A) => k3_rlvect_2(A,C) = k1_xboole_0 ) ) ) ) ) )).
fof(d1_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_rlvect_5(A) <=> ? [B] : ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_rlvect_3(B,A) ) ) ) )).
fof(d1_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_rlvect_2(C,A) => ! [D] : ( m1_rlvect_2(D,A) => ( D = k1_rlvect_x(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_xcmplx_0(B,k3_funct_2(u1_struct_0(A),k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d1_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_rmod_2(C,A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => r2_tarski(k3_rlvect_1(B,D,E),C) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r2_tarski(k4_vectsp_2(A,B,D,E),C) ) ) ) ) ) ) ) ) )).
fof(d1_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( ( v2_vectsp_2(E,A) & m1_rmod_2(E,A,B) ) => ( E = k1_rmod_3(A,B,C,D) <=> u1_struct_0(E) = a_4_0_rmod_3(A,B,C,D) ) ) ) ) ) ) )).
fof(d1_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( D = k1_rmod_4(A,B,C) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & k10_xtuple_0(E) = C & v2_funct_1(E) & D = k4_rlvect_1(B,E) ) ) ) ) ) ) )).
fof(d1_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ( v1_robbins2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),D)),k3_robbins1(A,k1_lattices(A,B,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,D),k3_robbins1(A,k1_lattices(A,D,E)))))))) = D ) ) ) ) ) ) )).
fof(d1_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ( v1_robbins3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,C,k1_lattices(A,B,D)) ) ) ) ) ) )).
fof(d1_robbins4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_robbins1(A) ) => ( v1_robbins4(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,B,C) => C = k1_lattices(A,B,k2_lattices(A,k3_robbins1(A,B),C)) ) ) ) ) ) )).
fof(d1_roughs_1,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_roughs_1(A) <=> r1_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),k6_partfun1(u1_struct_0(A))) ) ) )).
fof(d1_roughs_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_roughs_2(A,B) <=> ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) ) ) ) ) )).
fof(d1_rpr_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k1_rpr_1(A,B) = k7_xcmplx_0(k4_card_1(B),k4_card_1(A)) ) ) )).
fof(d1_rsspace,axiom,( k1_rsspace = k9_funct_2(k4_ordinal1,k1_numbers) )).
fof(d1_rsspace3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k4_rsspace))) => ( A = k1_rsspace3 <=> ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,k1_rsspace) & v2_series_1(k2_rsspace(B)) ) ) ) ) )).
fof(d1_rsspace4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k4_rsspace))) => ( A = k1_rsspace4 <=> ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,k1_rsspace) & v1_comseq_2(k2_rsspace(B)) ) ) ) ) )).
fof(d1_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ( m1_rusub_1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & k4_struct_0(B) = k4_struct_0(A) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u1_rlvect_1(B) = k5_relat_1(u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B))) & u1_bhsp_1(B) = k1_realset1(u1_bhsp_1(A),u1_struct_0(B)) ) ) ) ) )).
fof(d1_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( ( v1_bhsp_1(D) & m1_rusub_1(D,A) ) => ( D = k1_rusub_2(A,B,C) <=> u1_struct_0(D) = a_3_0_rusub_2(A,B,C) ) ) ) ) ) )).
fof(d1_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => ( C = k1_rusub_3(A,B) <=> u1_struct_0(C) = a_2_0_rusub_3(A,B) ) ) ) ) )).
fof(d1_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v1_rusub_4(A) <=> ? [B] : ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_rusub_3(B,A) ) ) ) )).
fof(d1_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v2_rusub_4(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_rusub_5(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B = k6_rusub_4(A,C,k6_domain_1(u1_struct_0(A),D)) ) ) ) ) ) )).
fof(d1_rvsum_1,axiom,( k10_binop_2 = k7_finseqop(k1_numbers,k9_binop_2,k6_partfun1(k1_numbers),k7_binop_2) )).
fof(d1_rvsum_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k2_rvsum_2 <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k1_square_1(B) ) ) ) )).
fof(d1_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ( v1_partfun3(A) <=> ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A,B),k5_numbers) ) ) ) ) )).
fof(d1_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) ) => ( m1_scm_1(B,A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(k1_afinsq_1(A),C) => k1_funct_1(B,k10_ami_3(C)) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(d1_scm_comp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_lang1(A) & v1_dtconstr(A) & v2_dtconstr(A) & v3_dtconstr(A) & v3_bintree1(A) & l1_lang1(A) ) => ( A = k1_scm_comp <=> ( k6_dtconstr(A) = k2_ami_2 & k7_dtconstr(A) = k2_zfmisc_1(1,5) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lang1(A,B,k4_pre_poly(u1_struct_0(A),C,D)) <=> r2_tarski(B,k2_zfmisc_1(1,5)) ) ) ) ) ) ) ) )).
fof(d1_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_scm_halt(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_tarski(A,C) => r1_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B) ) ) ) ) ) ) )).
fof(d1_scm_inst,axiom,( k2_scm_inst = k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),k4_ordinal1) )).
fof(d1_scmbsort,axiom,( ! [A] : ( m1_scmfsa_2(A) => k1_scmbsort(A) = k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(k5_numbers)),k6_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(k4_scmfsa_2(4),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(1),A)),k1_scmfsa8c(k4_scmfsa_2(1),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(1)),k8_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(3),A)),k1_scmfsa8c(k4_scmfsa_2(2),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(4),k4_scmfsa_2(3)),k8_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(3),A)),k14_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(4),A)),k8_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(5))),k2_scmfsa8b(k4_scmfsa_2(6),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(4),A),k15_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(3),A)),k15_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(4),A)),k4_compos_1(k1_scmfsa_2))))))) ) )).
fof(d1_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => k1_scmfsa6a(A) = k6_funct_4(A,k2_compos_1(k1_scmfsa_2),k11_scmfsa_2(k4_card_1(A))) ) )).
fof(d1_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => k1_scmfsa6b(A,B,C) = k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k1_scmfsa_m(B)) ) ) ) )).
fof(d1_scmfsa7b,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( r1_scmfsa7b(A,B) <=> ~ ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_scmfsa_2(E) => ( k6_scmfsa_2(C,B) != A & k7_scmfsa_2(C,B) != A & k8_scmfsa_2(C,B) != A & k9_scmfsa_2(C,B) != A & k10_scmfsa_2(C,B) != A & k10_scmfsa_2(B,C) != A & k12_scmfsa_2(D,B) != A & k13_scmfsa_2(D,B) != A & k14_scmfsa_2(C,B,E) != A & k15_scmfsa_2(B,C,E) != A & k15_scmfsa_2(C,B,E) != A & k17_scmfsa_2(B,E) != A ) ) ) ) ) ) ) )).
fof(d1_scmfsa8a,axiom,( ! [A] : ( v7_ordinal1(A) => k1_scmfsa8a(A) = k9_compos_1(k1_scmfsa_2,k11_scmfsa_2(A)) ) )).
fof(d1_scmfsa8b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => k1_scmfsa8b(A,B,C) = k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(k3_scmfsa6a(k12_scmfsa_2(k1_nat_1(k4_card_1(C),3),A),C),k1_scmfsa8a(k1_nat_1(k4_card_1(B),1))),B),k4_compos_1(k1_scmfsa_2)) ) ) ) )).
fof(d1_scmfsa8c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_scmfsa8c(A,B) = k4_scmfsa_x(A,k4_scmfsa6a(B,k8_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))) ) ) )).
fof(d1_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( r1_scmfsa9a(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(B,D,C,A),E),C) = k5_numbers => r5_scmfsa7b(D,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(B,D,C,A),E),k1_funct_4(A,k3_scmfsa_x(C,D))) ) ) ) ) ) ) ) )).
fof(d1_scmfsa_2,axiom,( k1_scmfsa_2 = g1_extpro_1(k5_card_1(3),k1_scmfsa_1,k10_subset_1(k4_ordinal1,k1_scmfsa_1),k2_scmfsa_i,k4_scmfsa_1,k5_scmfsa_1,k12_scmfsa_1) )).
fof(d1_scmfsa_7,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) ) => ( ( ~ r1_xxreal_0(B,k5_numbers) => ( C = k1_scmfsa_7(A,B) <=> ? [D] : ( v7_ordinal1(D) & k1_nat_1(D,1) = B & C = k1_ordinal4(k1_ordinal4(k5_afinsq_1(k6_scmfsa_2(A,k4_scmfsa_2(k5_numbers))),k8_funcop_1(u1_compos_1(k1_scmfsa_2),D,k7_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))),k4_compos_1(k1_scmfsa_2)) ) ) ) & ( r1_xxreal_0(B,k5_numbers) => ( C = k1_scmfsa_7(A,B) <=> ? [D] : ( v7_ordinal1(D) & k2_xcmplx_0(D,B) = 1 & C = k1_ordinal4(k1_ordinal4(k5_afinsq_1(k6_scmfsa_2(A,k4_scmfsa_2(k5_numbers))),k8_funcop_1(u1_compos_1(k1_scmfsa_2),D,k8_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))),k4_compos_1(k1_scmfsa_2)) ) ) ) ) ) ) ) )).
fof(d1_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) => ( E = k1_scmfsa_9(A,B,C,D) <=> ( r6_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,k5_numbers),A) & ! [F] : ( v7_ordinal1(F) => r6_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,k1_nat_1(F,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k3_scmfsa_x(C,B)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,F)),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(D,k3_scmfsa_x(C,B)),B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,F))),2))) ) ) ) ) ) ) ) ) )).
fof(d1_scmfsa_i,axiom,( k1_scmfsa_i = k6_subset_1(k4_numbers,k4_ordinal1) )).
fof(d1_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) => k1_scmfsa_m(A) = k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))) ) )).
fof(d1_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_scmfsa_x(A,B) = k2_scmfsa6a(k2_scmfsa6a(k3_scmfsa6a(k12_scmfsa_2(3,A),k1_scmfsa8a(k1_nat_1(k4_card_1(B),1))),B),k4_compos_1(k1_scmfsa_2)) ) ) )).
fof(d1_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) => ( E = k1_scmisort(A,B,C,D) <=> ( r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,k5_numbers),A) & ! [F] : ( v7_ordinal1(F) => r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,k1_nat_1(F,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k4_scmfsa_x(C,B)),k1_scmfsa_m(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,F)),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(D,k4_scmfsa_x(C,B)),B),k1_scmfsa_m(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,F))),2))) ) ) ) ) ) ) ) ) )).
fof(d1_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => k1_scmp_gcd(A) = k10_ami_3(A) ) )).
fof(d1_scmpds_2,axiom,( k1_scmpds_2 = g1_extpro_1(k5_card_1(2),k1_ami_2,k10_subset_1(k4_ordinal1,k1_ami_2),k1_scmpds_i,k3_ami_2,k4_ami_2,k6_scmpds_1) )).
fof(d1_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k1_scmpds_4(A,B) = k1_funct_4(A,k61_valued_1(B,k4_card_1(A))) ) ) )).
fof(d1_scmpds_6,axiom,( ! [A] : ( v1_int_1(A) => k1_scmpds_6(A) = k9_compos_1(k1_scmpds_2,k3_scmpds_2(A)) ) )).
fof(d1_scmpds_7,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k1_scmpds_7(A,B,C,D) = k3_scmpds_4(k3_scmpds_4(k2_scmpds_4(k9_scmpds_2(A,B,k1_nat_1(k4_card_1(D),3)),D),k11_scmpds_2(A,B,C)),k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(D),2)))) ) ) ) ) )).
fof(d1_scmpds_i,axiom,( k1_scmpds_i = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)),a_0_0_scmpds_i),a_0_1_scmpds_i),a_0_2_scmpds_i),a_0_3_scmpds_i),a_0_4_scmpds_i) )).
fof(d1_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_extpro_1(B,k5_card_1(2)) & l1_extpro_1(B,k5_card_1(2)) ) => ( B = k1_scmring2(A) <=> ( u1_struct_0(B) = k1_ami_2 & u2_struct_0(B) = k4_ordinal1 & u1_compos_1(B) = k1_scmringi(A) & u1_memstr_0(k5_card_1(2),B) = k3_ami_2 & u2_memstr_0(k5_card_1(2),B) = k1_scmring1(A) & u1_extpro_1(k5_card_1(2),B) = k8_scmring1(A) ) ) ) ) )).
fof(d1_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => k2_scmring3(A,B) = k10_ami_3(B) ) ) )).
fof(d1_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => k1_scmringi(A) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)),a_0_0_scmringi),a_0_1_scmringi),a_0_2_scmringi),a_1_0_scmringi(A)) ) )).
fof(d1_scmyciel,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( B = k1_scmyciel(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,A) & k1_card_1(C) = 2 ) ) ) ) )).
fof(d1_scpinvar,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_scpinvar(A,B) = k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k5_scmpds_2(k1_scmp_gcd(1),k5_numbers)),k5_scmpds_2(k1_scmp_gcd(2),k4_xcmplx_0(A))),k5_scmpds_2(k1_scmp_gcd(3),k1_nat_1(B,1))),k1_scmpds_8(k2_scmp_gcd,2,k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1)))) ) ) )).
fof(d1_scpisort,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v7_ordinal1(C) => ( r1_scpisort(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) ) => k1_funct_1(A,D) = k1_funct_1(B,k1_scmp_gcd(k2_xcmplx_0(C,D))) ) ) ) ) ) ) )).
fof(d1_scpqsort,axiom,( k1_scpqsort = k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(2),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(2),k2_scmp_gcd,k5_numbers,6)) )).
fof(d1_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v1_semi_af1(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,C,B) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_analoaf(A,B,C,D,D) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,C,F,G) ) => ( B = C | r2_analoaf(A,D,E,F,G) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_analoaf(A,B,C,B,D) => r2_analoaf(A,C,B,C,D) ) ) ) ) & ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_analoaf(A,B,C,B,D) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_analoaf(A,B,C,B,D) & ~ ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_analoaf(A,B,D,B,E) & ~ ( r2_analoaf(A,B,F,B,G) & r2_analoaf(A,D,F,E,G) ) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,B,D) & r2_analoaf(A,B,E,B,F) & r2_analoaf(A,B,G,B,H) & r2_analoaf(A,C,E,D,F) & r2_analoaf(A,C,G,D,H) ) => ( r2_analoaf(A,B,C,B,E) | r2_analoaf(A,B,C,B,G) | r2_analoaf(A,E,G,F,H) ) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,D,C,E) & r2_analoaf(A,B,F,C,G) ) => ( r2_analoaf(A,B,C,B,D) | r2_analoaf(A,B,C,B,F) | r2_analoaf(A,D,F,E,G) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,B,D) & r2_analoaf(A,E,F,E,G) & r2_analoaf(A,B,F,C,E) & r2_analoaf(A,C,G,D,F) ) => r2_analoaf(A,D,E,B,G) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r2_analoaf(A,B,C,B,D) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) & r2_analoaf(A,B,E,C,D) ) ) ) ) ) ) ) ) )).
fof(d1_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => k1_seq_1(A) = k7_funcop_1(k4_ordinal1,A) ) )).
fof(d1_seq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_seq_2(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ~ ( r2_hidden(C,k9_xtuple_0(A)) & r1_xxreal_0(B,k1_funct_1(A,C)) ) ) ) ) )).
fof(d1_seq_4,axiom,( ! [A] : ( v3_membered(A) => ( v4_xxreal_2(A) => ( v1_xboole_0(A) | ! [B] : ( v1_xreal_0(B) => ( B = k2_seq_4(A) <=> ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(C,B) ) ) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,A) & ~ r1_xxreal_0(D,k6_xcmplx_0(B,C)) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( D = k2_seqfunc(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,D,E),k26_valued_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,B,E),C)) ) ) ) ) ) ) )).
fof(d1_seqm_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v3_valued_0(A) ) => ( v5_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d1_series_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_valued_0(B) ) => ( B = k2_series_1(A) <=> ( k1_funct_1(B,k5_numbers) = k1_funct_1(A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,k1_nat_1(C,1)) = k2_xcmplx_0(k1_funct_1(B,C),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(d1_series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k1_series_3(A) <=> ( k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers) = k3_funct_2(k4_ordinal1,k1_numbers,A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => k3_funct_2(k4_ordinal1,k1_numbers,B,k1_nat_1(C,1)) = k4_real_1(k8_nat_1(k1_numbers,B,C),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(d1_setfam_1,axiom,( ! [A] : ! [B] : ( ( A != k1_xboole_0 => ( B = k1_setfam_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ! [D] : ( r2_tarski(D,A) => r2_hidden(C,D) ) ) ) ) & ( A = k1_xboole_0 => ( B = k1_setfam_1(A) <=> B = k1_xboole_0 ) ) ) )).
fof(d1_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_setlim_1(B,A) <=> ( v3_prob_1(B) | v2_prob_1(B) ) ) ) )).
fof(d1_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k1_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k9_subset_1(A,k8_nat_1(k9_setfam_1(A),B,E),k8_nat_1(k9_setfam_1(A),C,E)) ) ) ) ) ) )).
fof(d1_setwiseo,axiom,( ! [A] : k1_setwiseo(A) = k1_xboole_0 )).
fof(d1_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => k1_setwop_2(A,B,C) = k2_finsop_1(A,k8_funcop_1(A,k4_ordinal1,C),B) ) ) ) )).
fof(d1_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( m1_subset_1(B,k5_finsub_1(k2_scmfsa_2)) => ( ( r2_tarski(k5_compos_0(u1_compos_1(k1_scmfsa_2),A),k3_enumset1(1,2,3,4,5)) => ( B = k1_sf_mastr(A) <=> ? [C] : ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & ~ ( A != k6_scmfsa_2(C,D) & A != k7_scmfsa_2(C,D) & A != k8_scmfsa_2(C,D) & A != k9_scmfsa_2(C,D) & A != k10_scmfsa_2(C,D) ) & B = k5_scmfsa_m(C,D) ) ) ) ) & ( ( k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 7 | k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 8 ) => ( B = k1_sf_mastr(A) <=> ? [C] : ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & ? [D] : ( v7_ordinal1(D) & ( A = k12_scmfsa_2(D,C) | A = k13_scmfsa_2(D,C) ) & B = k4_scmfsa_m(C) ) ) ) ) & ( ( k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 9 | k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 10 ) => ( B = k1_sf_mastr(A) <=> ? [C] : ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & ? [E] : ( m1_scmfsa_2(E) & ( A = k14_scmfsa_2(D,C,E) | A = k15_scmfsa_2(D,C,E) ) & B = k5_scmfsa_m(C,D) ) ) ) ) ) & ( ( k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 11 | k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 12 ) => ( B = k1_sf_mastr(A) <=> ? [C] : ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & ? [D] : ( m1_scmfsa_2(D) & ( A = k16_scmfsa_2(C,D) | A = k17_scmfsa_2(C,D) ) & B = k4_scmfsa_m(C) ) ) ) ) & ~ ( ~ r2_tarski(k5_compos_0(u1_compos_1(k1_scmfsa_2),A),k3_enumset1(1,2,3,4,5)) & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 7 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 8 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 9 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 10 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 11 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 12 & ~ ( B = k1_sf_mastr(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d1_sfmastr2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_sfmastr2(A,B) = k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(A),k3_sf_mastr(B))),k4_scmfsa6a(B,k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(A),k3_sf_mastr(B))),k4_scmfsa_2(k5_numbers)))) ) ) )).
fof(d1_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(F,u1_struct_0(k1_scmfsa_2)) ) => k1_sfmastr3(A,B,C,D,E,F) = k2_scmfsa_9(k1_funct_7(k1_funct_7(F,k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(E))),k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(F,D),k1_funct_1(F,C)),1)),B,k1_funct_1(F,C)),k4_scmfsa6a(k4_scmfsa6a(E,k7_scmfsa_2(B,k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(E))),k4_scmfsa_2(k5_numbers))),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(E))),A) ) ) ) ) ) ) )).
fof(d1_sgraph1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k1_sgraph1(A,B) = a_2_0_sgraph1(A,B) ) ) )).
fof(d1_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) ) => ( v1_sheffer2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B))) = C ) ) ) ) ) )).
fof(d1_simplex0,axiom,( ! [A] : ! [B] : ( v1_classes1(B) => ( B = k1_simplex0(A) <=> ( r1_tarski(A,B) & ! [C] : ( ( r1_tarski(A,C) & v1_classes1(C) ) => r1_tarski(B,C) ) ) ) ) )).
fof(d1_simplex1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => k1_simplex1(A,B,C) = C ) ) ) )).
fof(d1_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v1_compts_1(k3_pcomps_1(A)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) => ( ( v1_tops_2(B,k3_pcomps_1(A)) & m1_setfam_1(B,u1_struct_0(k3_pcomps_1(A))) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ( m1_simplex2(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & r2_tarski(E,B) & r1_tarski(k8_metric_1(A,D,C),E) ) ) ) ) ) ) ) ) )).
fof(d1_sin_cos2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k1_sin_cos2 <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k22_sin_cos,k4_xcmplx_0(B))),2) ) ) ) )).
fof(d1_sin_cos3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k1_sin_cos3 <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k7_xcmplx_0(k6_xcmplx_0(k15_sin_cos(k3_xcmplx_0(k7_complex1,B)),k15_sin_cos(k4_xcmplx_0(k3_xcmplx_0(k7_complex1,B)))),k3_xcmplx_0(2,k7_complex1)) ) ) ) )).
fof(d1_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => k1_sin_cos4(A) = k7_xcmplx_0(k17_sin_cos(A),k19_sin_cos(A)) ) )).
fof(d1_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_sin_cos5(A) = k7_xcmplx_0(k4_sin_cos2(A),k2_sin_cos2(A)) ) )).
fof(d1_sin_cos6,axiom,( k1_sin_cos6 = k2_partfun2(k1_numbers,k1_numbers,k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(d1_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => k1_sin_cos7(A) = k3_power(k4_power,k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),1)))) ) )).
fof(d1_sin_cos9,axiom,( k1_sin_cos9 = k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(d1_sincos10,axiom,( k1_sincos10 = k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(d1_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r1_sppol_1(A,B,C) <=> ( r2_tarski(B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ~ ( r2_tarski(B,k1_rltopsp1(k15_euclid(A),D,E)) & r1_tarski(k1_rltopsp1(k15_euclid(A),D,E),C) & B != D & B != E ) ) ) ) ) ) ) ) )).
fof(d1_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r1_sppol_2(A,B,C) <=> ( A != B & ? [D] : ( v4_topreal1(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) & ? [E] : ( v4_topreal1(E) & m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & A = k7_partfun1(u1_struct_0(k15_euclid(2)),D,1) & A = k7_partfun1(u1_struct_0(k15_euclid(2)),E,1) & B = k7_partfun1(u1_struct_0(k15_euclid(2)),D,k3_finseq_1(D)) & B = k7_partfun1(u1_struct_0(k15_euclid(2)),E,k3_finseq_1(E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,D),k3_topreal1(2,E)) = k2_tarski(A,B) & C = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,D),k3_topreal1(2,E)) ) ) ) ) ) ) ) )).
fof(d1_sprect_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k1_sprect_1(A) = k8_finseq_1(u1_struct_0(k15_euclid(2)),k3_finseq_4(u1_struct_0(k15_euclid(2)),k11_pscomp_1(A),k12_pscomp_1(A),k13_pscomp_1(A)),k2_finseq_4(u1_struct_0(k15_euclid(2)),k10_pscomp_1(A),k11_pscomp_1(A))) ) )).
fof(d1_sprect_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_sprect_2(A,B) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ( r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,A)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C))) & r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)),k8_pscomp_1(k3_topreal1(2,A))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,A)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)),k7_pscomp_1(k3_topreal1(2,A))) ) ) ) ) ) ) )).
fof(d1_square_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k1_square_1(A) = k3_xcmplx_0(A,A) ) )).
fof(d1_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_srings_1(B,A) <=> ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ~ ( ~ v1_xboole_0(k3_xboole_0(C,D)) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ~ m1_eqrel_1(E,k3_xboole_0(C,D)) ) ) ) ) ) ) )).
fof(d1_srings_2,axiom,( k1_srings_2 = k6_enumset1(k2_enumset1(1,2,3,4),k1_enumset1(1,2,3),k1_enumset1(2,3,4),k1_tarski(1),k1_tarski(2),k1_tarski(3),k1_tarski(4),k1_xboole_0) )).
fof(d1_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v1_relat_1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ( m1_stacks_1(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,B) => ( r2_tarski(k1_domain_1(B,B,F,G),C) => r2_tarski(k1_domain_1(B,B,k2_binop_1(A,B,B,D,E,F),k2_binop_1(A,B,B,D,E,G)),C) ) ) ) ) ) ) ) ) ) )).
fof(d1_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(A),k5_card_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k5_card_1(B)))) ) => ( v1_stirl2_1(C,A,B) <=> ( ( A = k5_numbers => B = k5_numbers ) & ( B = k5_numbers => A = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k2_relset_1(k5_card_1(B),C)) & r2_tarski(E,k2_relset_1(k5_card_1(B),C)) & ~ r1_xxreal_0(E,D) & r1_xxreal_0(k3_nat_1(k1_stirl2_1(A,k5_card_1(B),C,k1_seq_4(E))),k3_nat_1(k1_stirl2_1(A,k5_card_1(B),C,k1_seq_4(D)))) ) ) ) ) ) ) ) ) )).
fof(d1_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v2_struct_0(A) <=> v1_xboole_0(u1_struct_0(A)) ) ) )).
fof(d1_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => k3_sublemma(A,B,C,D) = k4_relset_1(k3_qc_lang1(A),k3_qc_lang1(A),k3_qc_lang1(A),C,k2_substut1(A,k19_substut1(A,B)),D) ) ) ) ) )).
fof(d1_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) => ( m1_subset_1(B,A) <=> r2_tarski(B,A) ) ) & ( v1_xboole_0(A) => ( m1_subset_1(B,A) <=> v1_xboole_0(B) ) ) ) )).
fof(d1_substlat,axiom,( ! [A] : ! [B] : k1_substlat(A,B) = a_2_0_substlat(A,B) )).
fof(d1_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => k1_substut1(A) = k4_partfun1(k3_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(d1_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => k4_substut2(A,B,C,D) = k39_substut1(A,k2_substut2(A,B,k3_substut2(A,C,D))) ) ) ) ) )).
fof(d1_supinf_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ( B = k3_supinf_1(A) <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,B) <=> m1_xxreal_2(C,A) ) ) ) ) ) )).
fof(d1_supinf_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => k10_supinf_2(A,B,C,D) = k8_supinf_2(k2_relset_1(C,D)) ) ) ) )).
fof(d1_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_symsp_1(B,A) ) => ( v2_symsp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ~ ( C != k4_struct_0(B) & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => r1_orders_2(B,H,C) ) ) & ( r1_orders_2(B,C,D) => r1_orders_2(B,k3_vectsp_1(A,B,G,C),D) ) & ( ( r1_orders_2(B,D,C) & r1_orders_2(B,E,C) ) => r1_orders_2(B,k3_rlvect_1(B,D,E),C) ) & ~ ( ~ r1_orders_2(B,D,C) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ r1_orders_2(B,k5_algstr_0(B,F,k3_vectsp_1(A,B,H,D)),C) ) ) & ( ( r1_orders_2(B,C,k3_rlvect_1(B,D,E)) & r1_orders_2(B,D,k3_rlvect_1(B,E,C)) ) => r1_orders_2(B,E,k3_rlvect_1(B,C,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_sysrel,axiom,( ! [A] : ( v1_relat_1(A) => k1_sysrel(A) = k3_xboole_0(A,k4_relat_1(k9_xtuple_0(A))) ) )).
fof(d1_t_0topsp,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( r1_t_0topsp(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_tops_2(C,A,B) ) ) ) ) )).
fof(d1_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k1_t_1topsp(A) = a_1_0_t_1topsp(A) ) )).
fof(d1_tarski,axiom,( ! [A] : ! [B] : ( B = k1_tarski(A) <=> ! [C] : ( r2_hidden(C,B) <=> C = A ) ) )).
fof(d1_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ( m1_taxonom1(B,A) <=> ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ~ ( r2_tarski(C,B) & r2_tarski(D,B) & ~ r1_setfam_1(C,D) & ~ r1_setfam_1(D,C) ) ) ) ) ) ) )).
fof(d1_taxonom2,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_taxonom2(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & r8_orders_1(u1_orders_2(A),B) ) ) ) )).
fof(d1_taylor_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( B = k1_taylor_1(A) <=> ! [C] : ( v1_xreal_0(C) => k1_funct_1(B,C) = k3_prepower(C,A) ) ) ) ) )).
fof(d1_taylor_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( v1_xreal_0(C) => k1_taylor_2(A,B,C) = k6_taylor_1(A,B,k5_numbers,C) ) ) ) )).
fof(d1_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ( v1_tbsp_1(A) <=> ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_finset_1(C) & u1_struct_0(A) = k5_setfam_1(u1_struct_0(A),C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => D != k8_metric_1(A,E,B) ) ) ) ) ) ) ) ) ) )).
fof(d1_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_tdgroup(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_algstr_0(A,C,C) = B ) ) ) ) )).
fof(d1_tdlat_1,axiom,( ! [A] : ( l1_pre_topc(A) => k1_tdlat_1(A) = a_1_0_tdlat_1(A) ) )).
fof(d1_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k1_tdlat_2(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & D = k1_tops_1(A,E) & r2_tarski(E,B) ) ) ) ) ) ) ) )).
fof(d1_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_tdlat_3(A) <=> u1_pre_topc(A) = k9_setfam_1(u1_struct_0(A)) ) ) )).
fof(d1_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ( v7_struct_0(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & u1_struct_0(A) = k6_domain_1(u1_struct_0(A),B) ) ) ) )).
fof(d1_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tex_2(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v1_subset_1(C,u1_struct_0(A)) ) ) ) ) ) )).
fof(d1_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tex_3(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v1_tops_1(C,A) ) ) ) ) ) )).
fof(d1_tietze,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( r1_tietze(A,B,C) <=> ! [D] : ( r2_tarski(D,k3_xboole_0(C,k9_xtuple_0(A))) => r1_xxreal_0(k9_complex1(k1_funct_1(A,D)),B) ) ) ) ) )).
fof(d1_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_pre_topc(D,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( D = k2_tietze_2(A,B,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) & B = E & D = k4_euclid_9(A,E,C) ) ) ) ) ) ) )).
fof(d1_tmap_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( k2_partfun1(C,B,E,k9_subset_1(A,C,D)) = k2_partfun1(D,B,F,k9_subset_1(A,C,D)) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_subset_1(A,C,D),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_subset_1(A,C,D),B))) ) => ( G = k1_tmap_1(A,B,C,D,E,F) <=> ( k2_partfun1(k4_subset_1(A,C,D),B,G,C) = E & k2_partfun1(k4_subset_1(A,C,D),B,G,D) = F ) ) ) ) ) ) ) ) ) ) )).
fof(d1_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_toler_1(C,A,B) <=> ! [D] : ! [E] : ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => r2_hidden(k4_tarski(D,E),B) ) ) ) )).
fof(d1_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( D = k1_topalg_1(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> m1_borsuk_2(E,A,B,C) ) ) ) ) ) )).
fof(d1_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(D,A,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))))) ) => ( E = k3_topalg_3(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topalg_1(A,C))) => ? [G] : ( m1_borsuk_2(G,A,C,C) & F = k6_eqrel_1(k2_topalg_1(A,C),k2_topalg_1(A,C),k4_topalg_1(A,C),G) & k3_funct_2(u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C))),E,F) = k6_eqrel_1(k2_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)),k2_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)),k4_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)),k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),G,D)) ) ) ) ) ) ) ) ) ) )).
fof(d1_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l3_algstr_0(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & l3_algstr_0(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(C,D)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(C,D)))))) ) => ( G = k1_topalg_4(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B)))) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(B)) & H = k5_group_7(A,B,I,J) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(C,D))),G,H) = k5_group_7(C,D,k3_funct_2(u1_struct_0(A),u1_struct_0(C),E,I),k3_funct_2(u1_struct_0(B),u1_struct_0(D),F,J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)))) ) => ( B = k1_topalg_5(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),B,C) = k3_xcmplx_0(A,C) ) ) ) ) )).
fof(d1_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_topalg_6(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v7_struct_0(k5_topalg_1(A,B)) ) ) ) )).
fof(d1_topalg_7,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_topalg_7(B,A) <=> B = k1_group_1(A) ) ) ) )).
fof(d1_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))))) ) => ( B = k1_topdim_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ( k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,k5_numbers) = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_struct_0(A)) & ~ ( r2_tarski(C,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(D,1))) & ~ r2_tarski(C,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,D)) & ? [E] : ( m1_subset_1(E,u1_struct_0(k1_pre_topc(A,C))) & ? [F] : ( v3_pre_topc(F,k1_pre_topc(A,C)) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)))) & r2_tarski(E,F) & ! [G] : ( ( v3_pre_topc(G,k1_pre_topc(A,C)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)))) ) => ~ ( r2_tarski(E,G) & r1_tarski(G,F) & r2_tarski(k2_tops_1(k1_pre_topc(A,C),G),k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,D)) ) ) ) ) ) & ( ( r2_tarski(C,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,D)) | ! [E] : ( m1_subset_1(E,u1_struct_0(k1_pre_topc(A,C))) => ! [F] : ( ( v3_pre_topc(F,k1_pre_topc(A,C)) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)))) ) => ~ ( r2_tarski(E,F) & ! [G] : ( ( v3_pre_topc(G,k1_pre_topc(A,C)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)))) ) => ~ ( r2_tarski(E,G) & r1_tarski(G,F) & r2_tarski(k2_tops_1(k1_pre_topc(A,C),G),k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,D)) ) ) ) ) ) ) => r2_tarski(C,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(D,1))) ) ) ) ) ) ) ) )).
fof(d1_topdim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_topdim_2(B,A) <=> ? [C] : ( v7_ordinal1(C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( r1_tarski(D,B) & r2_tarski(C,k1_card_1(D)) ) => v1_xboole_0(k6_setfam_1(A,D)) ) ) ) ) ) )).
fof(d1_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k1_topgen_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & D = k2_tops_1(A,E) & r2_tarski(E,B) ) ) ) ) ) ) ) )).
fof(d1_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_card_1(C) => ( C = k1_topgen_2(A,B) <=> ( ? [D] : ( v1_tops_2(D,A) & v1_yellow_8(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & C = k1_card_1(D) ) & ! [D] : ( ( v1_tops_2(D,A) & v1_yellow_8(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => r1_ordinal1(C,k1_card_1(D)) ) ) ) ) ) ) )).
fof(d1_topgen_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_topgen_3(B,A) <=> ! [C] : ! [D] : ! [E] : ~ ( r2_tarski(D,B) & r2_tarski(E,B) & r2_tarski(C,k3_xboole_0(D,E)) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ~ ( r2_tarski(F,B) & r2_tarski(C,F) & r1_tarski(F,k3_xboole_0(D,E)) ) ) ) ) ) )).
fof(d1_topgen_4,axiom,( ! [A] : ( l1_struct_0(A) => k1_topgen_4(A) = k1_zfmisc_1(u1_struct_0(A)) ) )).
fof(d1_topgen_5,axiom,( k1_topgen_5 = a_0_0_topgen_5 )).
fof(d1_topgen_6,axiom,( k1_topgen_6 = k2_borsuk_1(k2_topgen_3,k2_topgen_3) )).
fof(d1_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k1_topgrp_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k6_algstr_0(A,B,D) ) ) ) ) ) )).
fof(d1_topmetr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( m1_topmetr(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_binop_1(u1_metric_1(B),C,D) = k1_binop_1(u1_metric_1(A),C,D) ) ) ) ) ) ) )).
fof(d1_topreal1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_topreal1(A,B,C,D) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(A,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(A,D))))) & v3_tops_2(E,k5_topmetr,k1_pre_topc(A,D)) & k1_funct_1(E,k5_numbers) = B & k1_funct_1(E,1) = C ) ) ) ) ) ) )).
fof(d1_topreal2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) <=> ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_pre_topc(k15_euclid(2),k1_topreal1)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k1_topreal1)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) & v3_tops_2(B,k1_pre_topc(k15_euclid(2),k1_topreal1),k1_pre_topc(k15_euclid(2),A)) ) ) ) )).
fof(d1_topreal4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal4(A,B,C) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) & v4_topreal1(D) & A = k3_topreal1(2,D) & B = k7_partfun1(u1_struct_0(k15_euclid(2)),D,1) & C = k7_partfun1(u1_struct_0(k15_euclid(2)),D,k3_finseq_1(D)) ) ) ) ) ) )).
fof(d1_topreal6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( v1_xreal_0(D) => ( D = k1_topreal6(A,B,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) & ? [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(A))) & E = B & F = C & D = k3_metric_1(k14_euclid(A),E,F) ) ) ) ) ) ) ) )).
fof(d1_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_metric_1(C) & l1_metric_1(C) ) => ( C = k1_topreal7(A,B) <=> ( u1_struct_0(C) = k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & ? [I] : ( m1_subset_1(I,u1_struct_0(B)) & D = k1_domain_1(u1_struct_0(A),u1_struct_0(B),F,H) & E = k1_domain_1(u1_struct_0(A),u1_struct_0(B),G,I) & k1_binop_1(u1_metric_1(C),D,E) = k4_xxreal_0(k2_binop_1(u1_struct_0(A),u1_struct_0(A),k1_numbers,u1_metric_1(A),F,G),k2_binop_1(u1_struct_0(B),u1_struct_0(B),k1_numbers,u1_metric_1(B),H,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => k1_topreal9(A,B,C) = a_3_0_topreal9(A,B,C) ) ) ) )).
fof(d1_topreala,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_topreala(A,B,C,D) = k1_pre_topc(k15_euclid(2),k2_jgraph_6(A,B,C,D)) ) ) ) ) )).
fof(d1_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_toprealb(A,B) = a_2_0_toprealb(A,B) ) ) )).
fof(d1_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_tops_1(A,B) = k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))) ) ) )).
fof(d1_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_pre_topc(C,A) ) ) ) ) ) )).
fof(d1_tops_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tops_1(B,A) <=> k1_tops_1(A,B) = k1_xboole_0 ) ) ) )).
fof(d1_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_transgeo(A,B,C) = k1_transgeo(A,k2_funct_2(A,C),k1_transgeo(A,B,C)) ) ) ) )).
fof(d1_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v1_translac(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) & r2_analoaf(A,B,E,C,D) ) => r1_aff_1(A,B,C,D) ) ) ) ) ) ) ) )).
fof(d1_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => k1_treal_1(A,B) = A ) ) ) )).
fof(d1_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_tarski(A,B) <=> ? [C] : ( v7_ordinal1(C) & A = k5_relat_1(B,k2_finseq_1(C)) ) ) ) ) )).
fof(d1_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( A = B <=> ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,A) <=> r2_tarski(C,B) ) ) ) ) ) )).
fof(d1_trees_3,axiom,( ! [A] : ( A = k1_trees_3 <=> ! [B] : ( r2_hidden(B,A) <=> ( ~ v1_xboole_0(B) & v1_trees_1(B) ) ) ) )).
fof(d1_trees_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( A = B <=> ( k9_xtuple_0(A) = k9_xtuple_0(B) & ! [C] : ( m1_trees_1(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(d1_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ( v1_zfmisc_1(A) <=> k9_xtuple_0(A) = k2_trees_1(k5_numbers) ) ) )).
fof(d1_trees_a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( m4_trees_1(C,A) => ( C != k1_xboole_0 => ! [D] : ( ( ~ v1_xboole_0(D) & v1_trees_1(D) ) => ( D = k1_trees_a(A,B,C) <=> ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( r2_tarski(E,D) <=> ~ ( ~ ( r2_tarski(E,A) & ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ~ ( r2_tarski(F,C) & r2_xboole_0(F,E) ) ) ) & ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ~ ( r2_tarski(F,C) & r2_tarski(G,B) & E = k8_finseq_1(k4_ordinal1,F,G) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_triang_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => k1_triang_1(A) = a_1_0_triang_1(A) ) )).
fof(d1_tsep_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ( v1_tsep_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v3_pre_topc(C,A) ) ) ) ) ) )).
fof(d1_tsep_2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tsep_2(A,B,C) <=> ( r1_xboole_0(B,C) & k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) ) ) ) ) ) )).
fof(d1_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( m1_pre_topc(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(C,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & C = k8_subset_1(u1_struct_0(A),D,u1_struct_0(B)) ) ) ) ) ) ) ) )).
fof(d1_turing_1,axiom,( ! [A] : ( v7_ordinal1(A) => k3_turing_1(A) = a_1_0_turing_1(A) ) )).
fof(d1_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k2_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k9_margrel1(k8_margrel1(B),C) ) ) ) ) )).
fof(d1_unialg_1,axiom,( ! [A] : ( l1_unialg_1(A) => ( v2_unialg_1(A) <=> v4_margrel1(u1_unialg_1(A),u1_struct_0(A)) ) ) )).
fof(d1_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) <=> k1_unialg_1(A) = k1_unialg_1(B) ) ) ) )).
fof(d1_uniform1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_uniform1(C,A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(E,k1_metric_1(A,F,G)) & r1_xxreal_0(D,k1_metric_1(B,k10_funct_2(u1_struct_0(A),u1_struct_0(B),C,F),k10_funct_2(u1_struct_0(A),u1_struct_0(B),C,G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( B = k1_uniroots(A) <=> ( u1_struct_0(B) = k8_struct_0(A) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d1_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = k1_urysohn1(A) <=> ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) <=> ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(D,k1_newton(2,A)) & C = k7_xcmplx_0(D,k1_newton(2,A)) ) ) ) ) ) ) )).
fof(d1_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ( ( v10_pre_topc(A) & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) ) => ( B = k1_xboole_0 | ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_urysohn1(D),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A))))) ) => ( m1_urysohn3(E,A,B,C,D) <=> ( r1_tarski(B,k1_funct_1(E,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(E,1)) & ! [F] : ( m2_subset_1(F,k1_numbers,k1_urysohn1(D)) => ! [G] : ( m2_subset_1(G,k1_numbers,k1_urysohn1(D)) => ( ~ r1_xxreal_0(G,F) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,F),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,G),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,F)),k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,G)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : k1_valuat_1(A,B) = k1_funct_2(k3_qc_lang1(A),B) ) )).
fof(d1_valued_0,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_valued_0(A) <=> r1_tarski(k10_xtuple_0(A),k2_numbers) ) ) )).
fof(d1_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k1_valued_1(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k2_xcmplx_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d1_valued_2,axiom,( ! [A] : ( v4_funct_1(A) => k1_valued_2(A) = k3_tarski(a_1_0_valued_2(A)) ) )).
fof(d1_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( v1_vectsp11(C,A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D != k4_struct_0(B) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) = k3_vectsp_1(A,B,E,D) ) ) ) ) ) ) )).
fof(d1_vectsp_1,axiom,( k1_vectsp_1 = g2_algstr_0(k1_numbers,k9_binop_2,k10_subset_1(k5_numbers,k1_numbers)) )).
fof(d1_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ( v1_vectsp_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k6_algstr_0(A,B,C) = k4_struct_0(A) & B != k4_struct_0(A) & C != k4_struct_0(A) ) ) ) ) ) )).
fof(d1_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_vectsp_4(C,A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => r2_tarski(k1_algstr_0(B,D,E),C) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r2_tarski(k3_vectsp_1(A,B,D,E),C) ) ) ) ) ) ) ) ) )).
fof(d1_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( ( v7_vectsp_1(E,A) & m1_vectsp_4(E,A,B) ) => ( E = k1_vectsp_5(A,B,C,D) <=> u1_struct_0(E) = a_4_0_vectsp_5(A,B,C,D) ) ) ) ) ) ) )).
fof(d1_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_funct_2(C,u1_struct_0(B),u1_struct_0(A),k9_funct_2(u1_struct_0(B),u1_struct_0(A))) => ( m1_vectsp_6(C,A,B) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r2_tarski(E,D) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(d1_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_vectsp_7(C,A,B) <=> ! [D] : ( m2_vectsp_6(D,A,B,C) => ( k4_vectsp_6(A,B,D) = k4_struct_0(B) => k1_vectsp_6(A,B,D) = k1_xboole_0 ) ) ) ) ) ) )).
fof(d1_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k1_vectsp_8(A,B) = g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B)) ) ) )).
fof(d1_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_matrlin(B,A) => ! [C] : ( v7_ordinal1(C) => ( C = k1_vectsp_9(A,B) <=> ! [D] : ( ( v2_vectsp_7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => C = k1_card_1(D) ) ) ) ) ) ) )).
fof(d1_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( E = k1_vfunct_1(A,B,C,D) <=> ( k1_relset_1(A,E) = k9_subset_1(A,k1_relset_1(A,C),k1_relset_1(A,D)) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_relset_1(A,E)) => k7_partfun1(u1_struct_0(B),E,F) = k1_algstr_0(B,k7_partfun1(u1_struct_0(B),C,F),k7_partfun1(u1_struct_0(B),D,F)) ) ) ) ) ) ) ) ) ) )).
fof(d1_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( E = k1_vfunct_2(A,B,C,D) <=> ( k1_relset_1(A,E) = k9_subset_1(A,k1_relset_1(A,C),k1_relset_1(A,D)) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_relset_1(A,E)) => k7_partfun1(u1_struct_0(B),E,F) = k1_clvect_1(B,k7_partfun1(u1_struct_0(B),D,F),k7_partfun1(k2_numbers,C,F)) ) ) ) ) ) ) ) ) ) )).
fof(d1_vsdiff_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ( F = k1_vsdiff_1(A,B,C,D,E) <=> ( k1_relset_1(A,F) = k1_relset_1(A,D) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,k1_relset_1(A,F)) => k7_partfun1(u1_struct_0(C),F,G) = k3_vectsp_1(B,C,E,k7_partfun1(u1_struct_0(C),D,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v4_yellow_0(B,k6_yellow_1(A,A)) & m1_yellow_0(B,k6_yellow_1(A,A)) ) => ( B = k2_waybel10(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( m1_subset_1(C,u1_struct_0(B)) <=> v7_waybel_1(C,A) ) ) ) ) ) )).
fof(d1_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel11(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(k1_yellow_0(A,C),B) & r1_xboole_0(C,B) ) ) ) ) ) )).
fof(d1_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)))) ) => ( v1_waybel14(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ~ ( g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k12_yellow_6(A,k2_waybel11(A)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(C,C)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(C,C)),u1_struct_0(C)))) ) => ~ ( r1_funct_2(u1_struct_0(k2_borsuk_1(C,C)),u1_struct_0(C),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A),D,B) & v5_pre_topc(D,k2_borsuk_1(C,C),C) ) ) ) ) ) ) ) )).
fof(d1_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( m1_waybel16(C,A,B) <=> ( v22_waybel_0(C,A,B) & v17_waybel_0(C,A,B) ) ) ) ) ) )).
fof(d1_waybel17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( D = k1_waybel17(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( ? [F] : ( m1_subset_1(F,k4_ordinal1) & E = k2_nat_1(2,F) ) => k3_funct_2(k4_ordinal1,A,D,E) = B ) & ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => E != k2_nat_1(2,F) ) => k3_funct_2(k4_ordinal1,A,D,E) = C ) ) ) ) ) ) ) ) )).
fof(d1_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_waybel_9(A) ) => ( v1_waybel19(A) <=> ( v1_tops_2(a_1_0_waybel19(A),A) & v2_cantor_1(a_1_0_waybel19(A),A) & m1_subset_1(a_1_0_waybel19(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(d1_waybel20,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) => ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k2_waybel20(A,B) = B ) ) ) )).
fof(d1_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( ( v2_yellow_0(A) => v2_yellow_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( m1_waybel21(C,A,B) <=> ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => r3_waybel_0(A,B,C,D) ) ) ) ) ) ) )).
fof(d1_waybel22,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( r1_waybel22(A,B) <=> ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v3_lattice3(C) & v3_waybel_3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ? [E] : ( m1_waybel16(E,A,C) & k2_partfun1(u1_struct_0(A),u1_struct_0(C),E,B) = D & ! [F] : ( m1_waybel16(F,A,C) => ( k2_partfun1(u1_struct_0(A),u1_struct_0(C),F,B) = D => r2_funct_2(u1_struct_0(A),u1_struct_0(C),F,E) ) ) ) ) ) ) ) )).
fof(d1_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel23(B,A) <=> v5_yellow_0(k5_yellow_0(A,B),A) ) ) ) )).
fof(d1_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_waybel24(A,B,C,D,E) = k1_funct_1(k1_funct_5(D),E) ) ) ) ) ) )).
fof(d1_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r1_waybel18(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v5_pre_topc(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D),k3_struct_0(A)) ) ) ) ) ) )).
fof(d1_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => k1_waybel26(A,B) = k3_waybel24(A,k1_waybel25(B)) ) ) )).
fof(d1_waybel27,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_waybel27(A) <=> ( ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_1(A,B) = k2_funct_5(B) ) ) ) ) ) )).
fof(d1_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_waybel28(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_orders_2(A,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) ) )).
fof(d1_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_9(B) & v4_waybel11(B) & m1_yellow_9(B,A) ) => B = k1_waybel29(A) ) ) )).
fof(d1_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_waybel30(A,B) = a_2_1_waybel30(A,B) ) ) )).
fof(d1_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => k1_waybel31(A) = k1_setfam_1(a_1_0_waybel31(A)) ) )).
fof(d1_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_waybel_9(A) ) => ( v1_waybel32(A) <=> ( v1_tops_2(a_1_0_waybel32(A),A) & v2_cantor_1(a_1_0_waybel32(A),A) & m1_subset_1(a_1_0_waybel32(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(d1_waybel33,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => k1_waybel33(A,B,C) = k1_yellow_0(A,a_3_0_waybel33(A,B,C)) ) ) ) )).
fof(d1_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_lattice3(A) & v17_waybel_0(C,A,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( D = k1_waybel34(A,B,C) <=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ) )).
fof(d1_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r1_orders_2(A,C,E) & r1_orders_2(A,D,E) ) ) ) ) ) ) ) ) )).
fof(d1_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_funct_1(C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) => D = E ) ) ) ) ) ) ) )).
fof(d1_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( l1_waybel_0(B,A) => k1_waybel_2(A,B) = k4_yellow_2(A,u1_waybel_0(A,B)) ) ) )).
fof(d1_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_waybel_3(A,B,C) <=> ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r3_orders_2(A,C,k1_yellow_0(A,D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,D) & r3_orders_2(A,B,E) ) ) ) ) ) ) ) ) )).
fof(d1_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( B = k1_waybel_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),C,D),B) <=> r1_waybel_3(A,C,D) ) ) ) ) ) ) )).
fof(d1_waybel_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_xtuple_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B),u1_struct_0(A)))) ) => ( C = k4_waybel_5(A,B) <=> ! [D] : ( r2_hidden(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k4_yellow_2(A,k1_funct_1(B,D)) ) ) ) ) ) )).
fof(d1_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r1_waybel_3(A,D,C) ) ) ) ) ) ) ) )).
fof(d1_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_waybel_7(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(k12_lattice3(A,C,D),B) & ~ r2_tarski(C,B) & ~ r2_tarski(D,B) ) ) ) ) ) ) )).
fof(d1_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_orders_2(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( B = k1_waybel_8(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,u1_struct_0(B)) <=> v1_waybel_3(C,A) ) ) ) ) ) )).
fof(d1_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_orders_2(A,D,E) => r1_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) ) ) )).
fof(d1_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( C = k1_weddwitt(A,B) <=> u1_struct_0(C) = a_2_0_weddwitt(A,B) ) ) ) ) )).
fof(d1_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => k1_weierstr(A) = A ) )).
fof(d1_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v12_waybel_0(B,A) <=> ! [C] : ! [D] : ( ( r2_hidden(C,B) & r2_hidden(k4_tarski(D,C),u1_orders_2(A)) ) => r2_hidden(D,B) ) ) ) ) )).
fof(d1_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : k1_wellord1(A,B) = k6_subset_1(k10_relat_1(A,B),k1_tarski(B)) ) )).
fof(d1_wellord2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( B = k1_wellord2(A) <=> ( k1_relat_1(B) = A & ! [C] : ! [D] : ( ( r2_tarski(C,A) & r2_tarski(D,A) ) => ( r2_hidden(k4_tarski(C,D),B) <=> r1_tarski(C,D) ) ) ) ) ) )).
fof(d1_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( ~ r2_tarski(A,k4_finseq_1(B)) => ( C = k2_finseq_3(A,B) <=> C = B ) ) & ( r2_tarski(A,k4_finseq_1(B)) => ( C = k2_finseq_3(A,B) <=> ( k1_nat_1(k3_finseq_1(C),1) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(A,D) => k1_funct_1(C,D) = k1_funct_1(B,D) ) & ( r1_xxreal_0(A,D) => k1_funct_1(C,D) = k1_funct_1(B,k1_nat_1(D,1)) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_xboole_0,axiom,( ! [A] : ( v1_xboole_0(A) <=> ! [B] : ~ r2_hidden(B,A) ) )).
fof(d1_xboolean,axiom,( k1_xboolean = k5_numbers )).
fof(d1_xcmplx_0,axiom,( k1_xcmplx_0 = k5_funct_4(k4_ordinal1,k5_numbers,1,k5_numbers,1) )).
fof(d1_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) <=> r2_hidden(A,k1_numbers) ) )).
fof(d1_xtuple_0,axiom,( ! [A] : ( v1_xtuple_0(A) <=> ? [B] : ? [C] : A = k4_tarski(B,C) ) )).
fof(d1_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) <=> r2_hidden(A,k6_numbers) ) )).
fof(d1_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k1_xxreal_1(A,B) = a_2_0_xxreal_1(A,B) ) ) )).
fof(d1_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ( m1_xxreal_2(B,A) <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(C,B) ) ) ) ) ) )).
fof(d1_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( ( r2_hidden(A,k1_numbers) & r2_hidden(B,k1_numbers) ) => ( r1_xxreal_0(A,B) <=> ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( m1_subset_1(D,k1_numbers) & C = A & D = B & r1_xxreal_0(C,D) ) ) ) ) & ( ~ ( r2_hidden(A,k1_numbers) & r2_hidden(B,k1_numbers) ) => ( r1_xxreal_0(A,B) <=> ( A = k2_xxreal_0 | B = k1_xxreal_0 ) ) ) ) ) ) )).
fof(d1_yellow11,axiom,( k1_yellow11 = k1_yellow_1(k3_enumset1(k5_numbers,k6_subset_1(3,1),2,k6_subset_1(3,2),3)) )).
fof(d1_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( m1_yellow13(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,k1_tops_1(A,D)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,C) & r2_tarski(B,k1_tops_1(A,E)) & r1_tarski(E,D) ) ) ) ) ) ) ) ) )).
fof(d1_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(C,A,B) <=> ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => r4_waybel_0(A,B,C,D) ) ) ) ) ) )).
fof(d1_yellow15,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => ! [C] : ( m2_finseq_1(C,k5_margrel1) => ! [D] : ( m2_finseq_1(D,k9_setfam_1(A)) => ( D = k1_yellow15(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => k1_funct_1(D,E) = k15_funcop_1(k1_funct_1(C,E),k7_margrel1,k1_funct_1(B,E),k6_subset_1(A,k1_funct_1(B,E))) ) ) ) ) ) ) ) )).
fof(d1_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_yellow16(A,B,C) <=> ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v22_waybel_0(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k5_relat_1(C,u1_struct_0(A)) = k3_struct_0(A) & v4_yellow_0(A,B) & v4_waybel_0(A,B) & m1_yellow_0(A,B) ) ) ) ) ) )).
fof(d1_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_yellow19(A,B) = a_2_0_yellow19(A,B) ) ) )).
fof(d1_yellow20,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( r1_yellow20(A,B) <=> ! [C] : ! [D] : ! [E] : r1_partfun1(k1_funct_1(u2_altcat_1(A),k3_xtuple_0(C,D,E)),k1_funct_1(u2_altcat_1(B),k3_xtuple_0(C,D,E))) ) ) ) )).
fof(d1_yellow21,axiom,( ! [A] : ( ( l1_struct_0(A) => k1_yellow21(A) = A ) & ( ~ l1_struct_0(A) => k1_yellow21(A) = o_0_0_yellow21 ) ) )).
fof(d1_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_orders_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_orders_2(A,B,B) ) ) ) )).
fof(d1_yellow_1,axiom,( ! [A] : k1_yellow_1(A) = g1_orders_2(A,k2_orders_1(A)) )).
fof(d1_yellow_2,axiom,( ! [A] : ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( r1_yellow_2(A,B,C,D) <=> ! [E] : ~ ( r2_tarski(E,A) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( F = k1_funct_1(C,E) & G = k1_funct_1(D,E) & r1_orders_2(B,F,G) ) ) ) ) ) ) ) ) )).
fof(d1_yellow_3,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( C = k1_yellow_3(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ? [F] : ? [G] : ? [H] : ? [I] : ( D = k4_tarski(F,G) & E = k4_tarski(H,I) & r2_hidden(k4_tarski(F,H),A) & r2_hidden(k4_tarski(G,I),B) ) ) ) ) ) ) )).
fof(d1_yellow_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_yellow_4(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,C) & r1_orders_2(A,D,E) ) ) ) ) ) ) ) ) )).
fof(d1_yellow_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_yellow_5(A,B,C) = k11_lattice3(A,B,k7_waybel_1(A,C)) ) ) ) )).
fof(d1_yellow_6,axiom,( ! [A] : k1_yellow_6(A) = k1_classes1(k5_classes1(A)) )).
fof(d1_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_yellow_8(C,A,B) <=> ( r2_tarski(B,k8_setfam_1(u1_struct_0(A),C)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r2_tarski(B,D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,C) & r1_tarski(E,D) ) ) ) ) ) ) ) ) ) )).
fof(d1_yellow_9,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) => k1_yellow_9(A,B) = k6_partfun1(u1_struct_0(B)) ) ) ) )).
fof(d1_yoneda_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k1_yoneda_1(A) = k11_ens_1(k16_ens_1(A)) ) )).
fof(d1_zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k1_zf_colla(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = a_2_0_zf_colla(A,D) & k9_xtuple_0(D) = B & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,B) => k1_funct_1(D,E) = a_3_0_zf_colla(A,D,E) ) ) ) ) ) ) )).
fof(d1_zf_fund2,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ( r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(A)) => k1_zf_fund2(A,B,C) = a_3_0_zf_fund2(A,B,C) ) & ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(A)) => k1_zf_fund2(A,B,C) = k1_xboole_0 ) ) ) ) ) )).
fof(d1_zf_lang,axiom,( k1_zf_lang = a_0_0_zf_lang )).
fof(d1_zf_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r1_tarski(B,C) => k1_zf_lang1(A,B,C,D) = D ) ) ) ) ) )).
fof(d1_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( B = k1_zf_model(A) <=> ? [C] : ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( r2_hidden(k4_tarski(k3_zf_lang(D,E),k2_tarski(D,E)),C) & r2_hidden(k4_tarski(k4_zf_lang(D,E),k2_tarski(D,E)),C) ) ) ) & r2_hidden(k4_tarski(A,B),C) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( r2_hidden(k4_tarski(D,E),C) => ( ( v2_zf_lang(D) => E = k2_tarski(k17_zf_lang(D),k18_zf_lang(D)) ) & ( v3_zf_lang(D) => E = k2_tarski(k17_zf_lang(D),k18_zf_lang(D)) ) & ~ ( v4_zf_lang(D) & ! [F] : ~ ( E = F & r2_hidden(k4_tarski(k19_zf_lang(D),F),C) ) ) & ~ ( v5_zf_lang(D) & ! [F] : ! [G] : ~ ( E = k3_tarski(k2_tarski(F,G)) & r2_hidden(k4_tarski(k20_zf_lang(D),F),C) & r2_hidden(k4_tarski(k21_zf_lang(D),G),C) ) ) & ~ ( v6_zf_lang(D) & ! [F] : ~ ( E = k6_subset_1(F,k1_tarski(k22_zf_lang(D))) & r2_hidden(k4_tarski(k23_zf_lang(D),F),C) ) ) ) ) ) ) ) ) )).
fof(d1_zf_refle,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ! [C] : ( ( v3_ordinal1(C) & m1_subset_1(C,B) ) => k1_zf_refle(A,B,C) = k3_card_3(k6_relat_1(B,k5_relat_1(A,k4_classes1(C)))) ) ) ) )).
fof(d1_zfmisc_1,axiom,( ! [A] : ! [B] : ( B = k1_zfmisc_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> r1_tarski(C,A) ) ) )).
fof(d1_zfmodel1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( r1_zf_model(B,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(A,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) => ( r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(A)) | ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( D = k1_zfmodel1(A,B,C) <=> ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,B,E,F) != k3_funct_2(k1_zf_lang,B,C,F) & k2_zf_lang(k5_numbers) != F & k2_zf_lang(3) != F & k2_zf_lang(4) != F ) ) => ( r1_zf_model(B,E,A) <=> k3_funct_2(B,B,D,k3_funct_2(k1_zf_lang,B,E,k2_zf_lang(3))) = k3_funct_2(k1_zf_lang,B,E,k2_zf_lang(4)) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_zfrefle1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_zf_lang)) => ( r1_zfrefle1(A,B) <=> ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_tarski(C,B) => r2_zf_model(A,C) ) ) ) ) ) )).
fof(d1_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => k1_zmodul01(A,B,C) = k1_binop_1(u1_zmodul01(A),C,B) ) ) ) )).
fof(d1_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => k1_zmodul02(A,B) = a_2_0_zmodul02(A,B) ) ) )).
fof(d1_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul03(A) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_zmodul02(B,A) & k33_zmodul02(A,B) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) ) )).
fof(d1_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) => ! [B] : ( ( v1_partfun1(B,k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))))) ) => ( B = k1_zmodul04(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))) & r2_hidden(D,k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( v1_int_1(G) & ? [H] : ( v1_int_1(H) & C = k4_tarski(E,G) & D = k4_tarski(F,H) & G != k5_numbers & H != k5_numbers & k1_zmodul01(A,E,H) = k1_zmodul01(A,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d1_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( C = k1_zmodul05(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v1_zmodul01(E) & v1_zmodul03(E) & m1_zmodul01(E,A) & E = D & k1_zmodul03(E) = B ) ) ) ) ) )).
fof(d20_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_abcmiz_0(A)) => k8_abcmiz_0(A,B,C) = k1_funct_1(k7_abcmiz_0(A,B,C),k1_nat_1(k3_finseq_1(C),1)) ) ) ) )).
fof(d20_abcmiz_1,axiom,( k19_abcmiz_1 = k2_zfmisc_1(k1_tarski(k8_abcmiz_1),k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) )).
fof(d20_abcmiz_a,axiom,( ! [A] : ( m3_abcmiz_1(A,k27_abcmiz_1) => k19_abcmiz_a(A) = k2_xboole_0(k9_abcmiz_a(k27_abcmiz_1,k42_abcmiz_1(k27_abcmiz_1,A)),k3_tarski(a_1_1_abcmiz_a(A))) ) )).
fof(d20_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r10_absred_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r3_absred_0(A,D,B) & r3_absred_0(A,D,C) ) ) ) ) ) )).
fof(d20_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => k22_aescip_1(A,B,C,D) = k1_funct_1(k2_funct_1(k3_aescip_1),k17_aescip_1(A,B,4,k1_aescip_1(4,4,k4_finseq_2(128,k5_margrel1),k4_finseq_2(8,k5_margrel1),k3_aescip_1,C),k18_aescip_1(D))) ) ) ) ) )).
fof(d20_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v16_algstr_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,B,D) => C = D ) ) ) ) ) ) )).
fof(d20_algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k11_algstr_4(A,C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k11_algstr_4(A,D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,D),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),k11_algstr_4(A,D)),k1_tarski(C)),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),k11_algstr_4(A,D)),k1_tarski(C)),u1_struct_0(B)))) ) => ( G = k17_algstr_4(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),k11_algstr_4(A,D)),k1_tarski(C))) => ! [I] : ( m1_subset_1(I,k11_algstr_4(A,C)) => ! [J] : ( m1_subset_1(J,k11_algstr_4(A,D)) => ( ( I = k1_xfamily(k1_xfamily(H)) & J = k2_xfamily(k1_xfamily(H)) ) => k3_funct_2(k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),k11_algstr_4(A,D)),k1_tarski(C)),u1_struct_0(B),G,H) = k6_algstr_0(B,k3_funct_2(k11_algstr_4(A,C),u1_struct_0(B),E,I),k3_funct_2(k11_algstr_4(A,D),u1_struct_0(B),F,J)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v6_altcat_1(B) & v13_altcat_1(B) & l2_altcat_1(B) ) => ( B = k9_altcat_1(A) <=> ( u1_struct_0(B) = A & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k1_altcat_1(B,C,C) = k1_tarski(k4_relat_1(C)) ) ) ) ) ) )).
fof(d20_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k16_aofa_000(A,B,C) = k1_funct_1(k2_pua2mss1(A,k10_subset_1(4,k4_finseq_1(u1_unialg_1(A)))),k2_finseq_4(u1_struct_0(A),B,C)) ) ) ) )).
fof(d20_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree4(D,A,C) & l3_msualg_1(D,A) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),E)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_funcop_1(G) ) => ( ? [H] : ( m2_pboole(H,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) & ? [I] : ( m1_msafree(I,A,C) & r1_msualg_3(A,C,D,H) & I = k1_funct_6(G) & G = k1_msafree(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D),I,H) ) ) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,D),E)) => ( H = k14_aofa_a00(A,B,C,D,E,F,G) <=> ? [I] : ( m2_pboole(I,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) & ? [J] : ( m1_msafree(J,A,C) & r1_msualg_3(A,C,D,I) & J = k1_funct_6(G) & G = k1_msafree(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D),J,I) & H = k1_msafree4(k1_funct_1(u3_msualg_1(A,C),E),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D),I,E),F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => k24_aofa_i00(A,B) = k8_funcop_1(A,k9_funct_2(A,k4_numbers),B) ) ) )).
fof(d20_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v10_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( ( r2_tarski(k6_armstrng(A,C,D),B) & r2_tarski(k6_armstrng(A,E,F),B) & r1_tarski(E,D) ) => r1_tarski(F,D) ) ) ) ) ) ) ) )).
fof(d20_asympt_0,axiom,( ! [A] : ( m1_funct_2(A,k4_ordinal1,k1_numbers) => ! [B] : ( m1_funct_2(B,k4_ordinal1,k1_numbers) => k15_asympt_0(A,B) = a_2_3_asympt_0(A,B) ) ) )).
fof(d20_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v13_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,C),D) = k1_bcialg_1(A,B,k1_bcialg_1(A,C,D)) ) ) ) ) ) )).
fof(d20_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(E,A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & v4_bilinear(E,A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(C)),u1_struct_0(A)))) ) => ( E = k15_bilinear(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( F = k3_vectsp_4(A,B,H,k13_bilinear(A,B,C,D)) => k2_binop_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(C),u1_struct_0(A),E,F,G) = k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,H,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r7_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,A,B,k2_binop_1(A,A,A,C,D,E)) = k2_binop_1(A,A,A,C,k3_funct_2(A,A,B,D),k3_funct_2(A,A,B,E)) ) ) ) ) ) ) )).
fof(d20_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers))) ) => ( A = k20_binop_2 <=> ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k1_binop_1(A,B,C) = k2_xcmplx_0(B,C) ) ) ) ) )).
fof(d20_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_cat_1(A,B,C) <=> ? [D] : ( m1_cat_1(D,A,B,C) & v9_cat_1(D,A,B,C) ) ) ) ) ) )).
fof(d20_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v4_cat_4(A) <=> ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m2_cat_3(E,A,D,B) & r2_funct_2(B,u1_struct_0(A),k2_cat_3(A,B,E),C) & r3_cat_3(A,D,B,E) ) ) ) ) ) ) )).
fof(d20_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => k9_cat_6(A,B) = B ) ) )).
fof(d20_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) ) => ! [D] : ( ( v8_cat_6(D) & v9_cat_6(D) & v10_cat_6(D) & l1_cat_6(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v16_cat_6(E,B,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v16_cat_6(F,C,A) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( v16_cat_6(G,D,B) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(D),u1_struct_0(C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(C)))) ) => ( v16_cat_6(H,D,C) => ( r3_cat_7(A,B,C,D,E,F,G,H) <=> ( r2_relset_1(u1_struct_0(D),u1_struct_0(A),k12_cat_6(D,B,A,G,E),k12_cat_6(D,C,A,H,F)) & ! [I] : ( ( v8_cat_6(I) & v9_cat_6(I) & v10_cat_6(I) & l1_cat_6(I) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(I),u1_struct_0(B)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I),u1_struct_0(B)))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(I),u1_struct_0(C)) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I),u1_struct_0(C)))) ) => ~ ( v16_cat_6(J,I,B) & v16_cat_6(K,I,C) & r2_relset_1(u1_struct_0(I),u1_struct_0(A),k12_cat_6(I,B,A,J,E),k12_cat_6(I,C,A,K,F)) & ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,u1_struct_0(I),u1_struct_0(D)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I),u1_struct_0(D)))) ) => ~ ( v16_cat_6(L,I,D) & r2_relset_1(u1_struct_0(I),u1_struct_0(B),k12_cat_6(I,D,B,L,G),J) & r2_relset_1(u1_struct_0(I),u1_struct_0(C),k12_cat_6(I,D,C,L,H),K) & ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(I),u1_struct_0(D)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I),u1_struct_0(D)))) ) => ( ( v16_cat_6(M,I,D) & r2_relset_1(u1_struct_0(I),u1_struct_0(B),k12_cat_6(I,D,B,M,G),J) & r2_relset_1(u1_struct_0(I),u1_struct_0(C),k12_cat_6(I,D,C,M,H),K) ) => r2_relset_1(u1_struct_0(I),u1_struct_0(D),L,M) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_coh_sp,axiom,( ! [A] : k20_coh_sp(A) = a_1_6_coh_sp(A) )).
fof(d20_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ! [C] : ( C = k12_cohsp_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,B) & v10_cohsp_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & D = k11_cohsp_1(A,B,E) ) ) ) ) ) )).
fof(d20_comput_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k2_comput_1(k4_ordinal1))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_comput_1(k4_ordinal1))))) ) => ( A = k13_comput_1 <=> ( k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),A,k5_numbers) = k10_comput_1 & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),A,k1_nat_1(B,1)) = k4_subset_1(k2_comput_1(k4_ordinal1),k11_comput_1(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),A,B)),k12_comput_1(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),A,B))) ) ) ) ) )).
fof(d20_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k11_conlat_1(A) = g3_lattices(k8_conlat_1(A),k10_conlat_1(A),k9_conlat_1(A)) ) )).
fof(d20_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k15_decomp_1(A) = a_1_9_decomp_1(A) ) )).
fof(d20_descip_1,axiom,( ! [A] : ( m2_finseq_2(A,k5_margrel1,k4_finseq_2(48,k5_margrel1)) => ! [B] : ( m2_finseq_2(B,k4_finseq_2(6,k5_margrel1),k4_finseq_2(8,k4_finseq_2(6,k5_margrel1))) => ( B = k30_descip_1(A) <=> ( k1_funct_1(B,1) = k2_descip_1(k5_margrel1,6,A) & k1_funct_1(B,2) = k2_descip_1(k5_margrel1,6,k3_descip_1(k5_margrel1,6,A)) & k1_funct_1(B,3) = k2_descip_1(k5_margrel1,6,k3_descip_1(k5_margrel1,12,A)) & k1_funct_1(B,4) = k2_descip_1(k5_margrel1,6,k3_descip_1(k5_margrel1,18,A)) & k1_funct_1(B,5) = k2_descip_1(k5_margrel1,6,k3_descip_1(k5_margrel1,24,A)) & k1_funct_1(B,6) = k2_descip_1(k5_margrel1,6,k3_descip_1(k5_margrel1,30,A)) & k1_funct_1(B,7) = k2_descip_1(k5_margrel1,6,k3_descip_1(k5_margrel1,36,A)) & k1_funct_1(B,8) = k3_descip_1(k5_margrel1,42,A) ) ) ) ) )).
fof(d20_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => k18_e_siec(A) = k2_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) ) )).
fof(d20_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_cat_1(A,k4_graph_1(A,C),B),k2_cat_1(A,k3_graph_1(A,C),B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,k4_graph_1(A,C),B),k2_cat_1(A,k3_graph_1(A,C),B)))) ) => ( D = k18_ens_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( r2_tarski(E,k2_cat_1(A,k4_graph_1(A,C),B)) => k1_funct_1(D,E) = k1_cat_1(A,C,E) ) ) ) ) ) ) ) )).
fof(d20_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k17_facirc_1(A,B,C) = k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)),k4_facirc_1) )).
fof(d20_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => k17_fomodel0(A,B,C) = k6_funct_4(C,A,B) ) )).
fof(d20_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ( v10_fomodel1(B,A) <=> r2_tarski(B,k10_fomodel1(A)) ) ) ) )).
fof(d20_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)))) ) => ( C = k21_fomodel2(A,B) <=> ( k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1),C,k5_numbers) = k16_fomodel2(A,B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1),C,k1_nat_1(D,1)) = k1_funct_4(k7_funct_4(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1,k18_fomodel2(A,B,k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1),C,D)),k20_fomodel2(A,B,k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1),C,D))),k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1),C,D)) ) ) ) ) ) ) )).
fof(d20_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_pre_poly(E) ) => ! [F] : ( ( v4_fomodel2(F,A) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( ( k29_fomodel2(A,F) = k1_nat_1(D,1) => ( v5_fomodel2(F,A) | k28_fomodel3(A,B,C,D,E,F) = k7_finseq_1(k7_finseq_1(k43_fomodel1(A,k1_fomodel2(A)),k1_funct_1(E,k37_fomodel2(A,F))),k1_funct_1(E,k38_fomodel2(A,F))) ) ) & ( ( k29_fomodel2(A,F) = k1_nat_1(D,1) & v5_fomodel2(F,A) ) => ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),F) = B | k28_fomodel3(A,B,C,D,E,F) = k7_finseq_1(k43_fomodel1(A,o_4_1_fomodel3(A,B,C,F)),k1_funct_1(E,k24_fomodel3(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),F),o_4_1_fomodel3(A,B,C,F),k37_fomodel2(A,F)))) ) ) & ~ ( ~ ( k29_fomodel2(A,F) = k1_nat_1(D,1) & ~ v5_fomodel2(F,A) ) & ~ ( k29_fomodel2(A,F) = k1_nat_1(D,1) & v5_fomodel2(F,A) & k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),F) != B ) & k28_fomodel3(A,B,C,D,E,F) != k1_funct_1(E,F) ) ) ) ) ) ) ) ) )).
fof(d20_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ! [D] : ( v9_fomodel4(D,A,B,C) <=> ? [E] : ? [F] : ( v7_ordinal1(F) & r1_tarski(E,C) & v5_fomodel4(k4_tarski(E,D),F,A,B,k1_xboole_0) ) ) ) ) )).
fof(d20_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( v1_freealg(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_freealg(A,B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k17_freealg(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k17_freealg(A,B),C))) ) => ( r2_tarski(D,k1_lang1(k3_freealg(A,B))) => k18_freealg(A,B,C,D,E) = k1_funct_1(E,k2_trees_4(u1_struct_0(k3_freealg(A,B)),D)) ) ) ) ) ) ) )).
fof(d20_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ( v5_fsm_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ~ ( D != E & r5_fsm_1(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(d20_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k20_ftacell1(A,B,C,D,E) = k3_circcomb(k49_gfacirc1(A,B,C),k49_gfacirc1(k48_gfacirc1(A,B,C),E,D),k50_gfacirc1(A,B,C),k50_gfacirc1(k48_gfacirc1(A,B,C),E,D)) )).
fof(d20_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ( v12_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(k4_functor0(A,B,C,D,D),k8_altcat_1(A,D)) = k8_altcat_1(B,k3_functor0(A,B,C,D)) ) ) ) ) ) )).
fof(d20_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) ) => k20_gate_1(A,B,C,D,E) = k1_gate_1(k1_xboole_0) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & k20_gate_1(A,B,C,D,E) != k1_xboole_0 ) ) )).
fof(d20_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ( v5_gaussint(A) <=> k16_gaussint(A) = 1 ) ) )).
fof(d20_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k20_gfacirc1(A,B,C) = k3_circcomb(k17_gfacirc1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_gfacirc1),k4_tarski(k10_finseq_1(B,C),k2_twoscomp),k4_tarski(k10_finseq_1(C,A),k3_facirc_1))),k18_gfacirc1(A,B,C),k7_facirc_1(k4_tarski(k10_finseq_1(A,B),k3_gfacirc1),k4_tarski(k10_finseq_1(B,C),k2_twoscomp),k4_tarski(k10_finseq_1(C,A),k3_facirc_1),k4_facirc_1)) )).
fof(d20_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v5_glib_000(A) <=> ! [B] : ! [C] : ! [D] : ! [E] : ( ( r1_glib_000(A,D,E,B) & r1_glib_000(A,D,E,C) ) => B = C ) ) ) )).
fof(d20_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => ( v1_abian(C) | ( D = k17_glib_001(A,B,C) <=> ( r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,D) = k1_funct_1(B,C) & ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => ( ( r1_xxreal_0(E,k3_finseq_1(B)) & k1_funct_1(B,E) = k1_funct_1(B,C) ) => r1_xxreal_0(D,E) ) ) ) ) ) ) & ( ~ ( ~ v1_abian(C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( D = k17_glib_001(A,B,C) <=> D = k3_finseq_1(B) ) ) ) ) ) ) ) )).
fof(d20_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => k11_glib_003(A) = k9_xtuple_0(k6_glib_003(A)) ) )).
fof(d20_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m3_glib_005(D,A) => ( D = k12_glib_005(A,B,C) <=> ( r6_pboole(k7_glib_000(A),k1_funct_1(D,k5_numbers),k8_funcop_1(k4_ordinal1,k7_glib_000(A),k5_numbers)) & ! [E] : ( v7_ordinal1(E) => r6_pboole(k7_glib_000(A),k1_funct_1(D,k1_nat_1(E,1)),k11_glib_005(A,k1_funct_1(D,E),C,B)) ) ) ) ) ) ) ) )).
fof(d20_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k7_graph_1(A) <=> ? [C] : ( v1_finset_1(C) & C = u4_struct_0(A) & B = k4_card_1(C) ) ) ) ) )).
fof(d20_graphsp,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k3_finseq_2(k1_numbers)) => ! [B] : ( ( ~ v2_struct_0(B) & v2_graph_1(B) & l1_graph_1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(B),k8_graph_5) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B),k8_graph_5))) ) => ( r6_graphsp(A,B,C,D) <=> ( k3_finseq_1(A) = k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(C,C),k3_xcmplx_0(3,C)),1) & k2_finseq_1(C) = u1_struct_0(B) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,C) ) => ( k1_funct_1(A,E) = 1 & k1_funct_1(A,k2_xcmplx_0(k3_xcmplx_0(2,C),E)) = k5_numbers ) ) ) & k1_funct_1(A,k1_nat_1(C,1)) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(2,E) & r1_xxreal_0(E,C) ) => k1_funct_1(A,k2_xcmplx_0(C,E)) = k4_xcmplx_0(1) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( G = E & H = F ) => k1_funct_1(A,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,C),k3_xcmplx_0(C,G)),H)) = k11_graphsp(B,E,F,D) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_group_10(A,B),k15_group_10(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_group_10(A,B),k15_group_10(A,B)))) ) => ( E = k16_group_10(A,B,C,D) <=> ! [F] : ( m2_subset_1(F,k1_group_3(A),k15_group_10(A,B)) => ? [G] : ( m2_subset_1(G,k1_group_3(A),k15_group_10(A,B)) & ? [H] : ( v15_algstr_0(H) & m1_group_2(H,A) & ? [I] : ( v15_algstr_0(I) & m1_group_2(I,A) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & G = k3_funct_2(k15_group_10(A,B),k15_group_10(A,B),E,F) & F = H & G = I & k2_group_1(C,D) = J & r1_group_2(A,I,k6_group_3(A,H,J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k10_group_9(A,B,C))) & v1_group_6(D,B,k10_group_9(A,B,C)) & v7_group_9(D,A,B,k10_group_9(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k10_group_9(A,B,C))))) ) => ( D = k12_group_9(A,B,C) <=> ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,B) & m1_group_2(E,B) ) => ( E = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) => r1_funct_2(u1_struct_0(B),u1_struct_0(k10_group_9(A,B,C)),u1_struct_0(B),u1_struct_0(k5_group_6(B,E)),D,k8_group_6(B,E)) ) ) ) ) ) ) )).
fof(d20_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) => k13_hahnban1(A,B) = B ) ) )).
fof(d20_idea_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k14_idea_1,k14_idea_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) => ( C = k20_idea_1(A,B) <=> ! [D] : ( m2_finseq_1(D,k4_ordinal1) => k1_funct_1(C,D) = k11_idea_1(B,D,A) ) ) ) ) ) )).
fof(d20_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k13_ideal_1(A,B,C) = a_3_3_ideal_1(A,B,C) ) ) ) )).
fof(d20_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( ~ v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A) => ! [E] : ( m1_subset_1(E,u4_incsp_1(A)) => ( E = k2_incsp_1(A,B,C,D) <=> r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) ) ) ) ) ) ) ) )).
fof(d20_integra1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k14_integra1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k1_funct_1(B,C) = k18_rvsum_1(k17_finseq_1(k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d20_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( B = k18_interva1(A) <=> ! [C] : ( r2_tarski(C,B) <=> m2_interva1(C,A) ) ) ) )).
fof(d20_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_intpro_1)) => ( B = k11_intpro_1(A) <=> ! [C] : ( m1_subset_1(C,k1_intpro_1) => ( r2_tarski(C,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_intpro_1)) => ( ( v9_intpro_1(D) & r1_tarski(A,D) ) => r2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d20_lattad_1,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(1,2,3)) => ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ( ( ( A = 1 | ( A = 2 & B = 1 ) ) => k14_lattad_1(A,B) = 1 ) & ( A = 2 => ( ( B != 2 & B != 3 ) | k14_lattad_1(A,B) = 2 ) ) & ( A = 3 => k14_lattad_1(A,B) = 3 ) ) ) ) )).
fof(d20_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v6_lattice3(A) <=> ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r3_lattice3(A,C,B) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r3_lattice3(A,F,B) => r1_lattices(A,F,C) ) ) & r3_lattice3(A,E,a_3_1_lattice3(A,B,D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r3_lattice3(A,F,a_3_1_lattice3(A,B,D)) => r1_lattices(A,F,E) ) ) ) => r1_lattices(A,E,k1_lattices(A,D,C)) ) ) ) ) ) ) )).
fof(d20_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( m2_lattice5(D,A,B,C) <=> ( k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k4_tarski(A,C) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( ~ v1_xboole_0(F) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(F,F),u1_struct_0(B)) & v1_lattice5(G,F,B) & v2_lattice5(G,F,B) & v3_lattice5(G,F,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(F,F),u1_struct_0(B)))) & ? [H] : ( ~ v1_xboole_0(H) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(H,H),u1_struct_0(B)) & v1_lattice5(I,H,B) & v2_lattice5(I,H,B) & v3_lattice5(I,H,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H,H),u1_struct_0(B)))) & r2_lattice5(F,B,G,H,I) & k1_funct_1(D,E) = k4_tarski(F,G) & k1_funct_1(D,k1_nat_1(E,1)) = k4_tarski(H,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v17_lattices(A) <=> ( v15_lattices(A) & v16_lattices(A) & v11_lattices(A) ) ) ) )).
fof(d20_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( ( k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B)) = k6_glib_000(A) => ( C = k19_lexbfs(A,B) <=> C = o_1_0_lexbfs(A) ) ) & ( k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B)) != k6_glib_000(A) => ( C = k19_lexbfs(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v6_membered(D) & v1_finset_1(D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & D = k10_xtuple_0(E) & E = k5_relset_1(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k4_ordinal1,k6_glib_000(A),B),k6_subset_1(k6_glib_000(A),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B)))) & C = o_2_1_lexbfs(D,E) ) ) ) ) ) ) ) ) )).
fof(d20_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k13_lmod_7(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k13_lmod_7(A,B,C))) => ( F = k15_lmod_7(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( E = k14_lmod_7(A,B,C,G) => F = k14_lmod_7(A,B,C,k3_vectsp_1(A,B,D,G)) ) ) ) ) ) ) ) ) ) )).
fof(d20_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k22_lpspacc1(A,B,C)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k22_lpspacc1(A,B,C)),k1_numbers))) ) => ( D = k23_lpspacc1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k22_lpspacc1(A,B,C))) => ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & r2_tarski(F,E) & k12_supinf_2(D,E) = k1_mesfunc6(A,B,C,k56_valued_1(A,k2_numbers,F)) ) ) ) ) ) ) ) )).
fof(d20_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k20_lpspace1(A,B,C) = g1_normsp_1(u1_struct_0(k18_lpspace1(A,B,C)),u2_struct_0(k18_lpspace1(A,B,C)),u1_algstr_0(k18_lpspace1(A,B,C)),u1_rlvect_1(k18_lpspace1(A,B,C)),k19_lpspace1(A,B,C)) ) ) ) )).
fof(d20_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( r5_ltlaxio1(A,B,C) <=> B = k3_hilbert1(A,C) ) ) ) ) )).
fof(d20_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k15_margrel1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k5_margrel1,D,E) = k9_margrel1(k3_funct_2(A,k5_margrel1,B,E),k3_funct_2(A,k5_margrel1,C,E)) ) ) ) ) ) ) )).
fof(d20_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k23_member_1(A,B) = k13_member_1(k1_tarski(B),A) ) ) )).
fof(d20_membered,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ( r1_xboole_0(A,B) <=> ! [C] : ( v1_xxreal_0(C) => ~ ( r2_hidden(C,A) & r2_hidden(C,B) ) ) ) ) ) )).
fof(d20_metric_1,axiom,( k11_metric_1 = k8_funcop_1(k4_ordinal1,k2_zfmisc_1(2,2),k5_numbers) )).
fof(d20_metric_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers))) ) => ( A = k20_metric_3 <=> ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ! [E] : ( m1_subset_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k1_numbers) => ! [G] : ( m1_subset_1(G,k1_numbers) => ! [H] : ( m1_subset_1(H,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)) => ! [I] : ( m1_subset_1(I,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)) => ( ( H = k4_domain_1(k1_numbers,k1_numbers,k1_numbers,B,D,F) & I = k4_domain_1(k1_numbers,k1_numbers,k1_numbers,C,E,G) ) => k2_binop_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k1_numbers,A,H,I) = k3_real_1(k3_real_1(k4_binop_1(k1_numbers,k6_metric_1,B,C),k4_binop_1(k1_numbers,k6_metric_1,D,E)),k4_binop_1(k1_numbers,k6_metric_1,F,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( D = k23_mmlquery(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => k2_mmlquery(A,D,E) = k3_tarski(a_4_13_mmlquery(A,B,C,E)) ) ) ) ) ) )).
fof(d20_mod_2,axiom,( k18_mod_2 = g6_algstr_0(k1_enumset1(k5_numbers,1,2),k13_mod_2,k14_mod_2,k16_mod_2,k17_mod_2) )).
fof(d20_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => k13_modelc_1(A,B) = k7_modelc_1(k8_modelc_1(k7_modelc_1(A),k7_modelc_1(B))) ) ) )).
fof(d20_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v4_modelc_2(A) => ( B = k12_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k4_modelc_2(C,B) = A ) ) ) & ( v5_modelc_2(A) => ( B = k12_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k5_modelc_2(C,B) = A ) ) ) & ( v7_modelc_2(A) => ( B = k12_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k7_modelc_2(C,B) = A ) ) ) & ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ ( B = k12_modelc_2(A) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & k8_modelc_2(C,B) = A ) ) ) ) ) ) ) )).
fof(d20_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ! [C] : ( ( v1_modelc_3(C,A) & l1_modelc_3(C,A) ) => ( r6_modelc_3(A,B,C) <=> ( v3_modelc_3(B,A) & v3_modelc_3(C,A) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_xxreal_0(1,k3_finseq_1(D)) & r5_modelc_3(A,D) & k1_funct_1(D,1) = k12_modelc_3(A,B) & k1_funct_1(D,k3_finseq_1(D)) = C ) ) ) ) ) ) )).
fof(d20_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v17_monoid_0(A) <=> v9_monoid_0(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(d20_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_msafree(A,B))) => ( ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(k5_msafree(A,B),C,D) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( D = k17_msafree(A,B,C) <=> k4_tarski(D,u1_struct_0(A)) = C ) ) ) ) ) ) )).
fof(d20_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ! [D] : ( ( v3_msualg_1(D,A) & v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ( D = k10_msafree4(A,B,C) <=> ( r8_pboole(u1_struct_0(A),u3_msualg_1(A,D),k9_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),C)) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,E,D)) => k3_funct_2(k3_msualg_1(A,E,D),k4_msualg_1(A,E,D),k5_msualg_1(A,E,D),F) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k2_msualg_1(A,E)),k1_funct_1(k5_msualg_1(A,E,k1_msafree3(A,B)),F)) ) ) ) ) ) ) ) ) )).
fof(d20_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,C))) => ( v8_msafree5(F,A,B,C,D,E) <=> k4_card_1(k10_relat_1(F,k1_domain_1(k1_msafree4(u1_struct_0(A),B,D),u1_struct_0(A),E,D))) = 1 ) ) ) ) ) ) ) )).
fof(d20_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)))) ) => ( C = k15_msualg_2(A,B) <=> ! [D] : ( m1_subset_1(D,k14_msualg_2(A,B)) => ! [E] : ( m1_subset_1(E,k14_msualg_2(A,B)) => ! [F] : ( ( v3_msualg_1(F,A) & m1_msualg_2(F,A,B) ) => ! [G] : ( ( v3_msualg_1(G,A) & m1_msualg_2(G,A,B) ) => ( ( D = F & E = G ) => k4_binop_1(k14_msualg_2(A,B),C,D,E) = k13_msualg_2(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d20_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),u3_msualg_1(A,C)) => ( E = k19_msualg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r2_funct_2(k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),F),k1_funct_1(u3_msualg_1(A,C),F),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),u3_msualg_1(A,C),E,F),k18_msualg_4(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(d20_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_normsp_1(C) ) => ( C = k18_normsp_3(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & D = u1_struct_0(k1_rlvect_3(A,B)) & C = g1_normsp_1(k1_normsp_3(A,D),k7_rsspace(A,k1_normsp_3(A,D)),k5_rsspace(A,k1_normsp_3(A,D)),k6_rsspace(A,k1_normsp_3(A,D)),k2_normsp_3(A,k1_normsp_3(A,D))) ) ) ) ) ) )).
fof(d20_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [D] : ( m2_finseq_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) => k18_osafree(A,B,C,D) = a_4_0_osafree(A,B,C,D) ) ) ) ) )).
fof(d20_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r6_osalg_1(A,B,C) <=> ( r1_osalg_1(A,B,C) & r2_osalg_1(A,k1_msualg_1(A,B),k1_msualg_1(A,C)) & r3_orders_2(A,k2_msualg_1(A,B),k2_msualg_1(A,C)) ) ) ) ) ) )).
fof(d20_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => k16_osalg_4(A,B,C) = g3_msualg_1(A,k7_osalg_4(A,B,C),k15_osalg_4(A,B,C)) ) ) ) )).
fof(d20_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k9_pboole(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k7_relat_1(k1_funct_1(C,E),k1_funct_1(B,E)) ) ) ) ) ) )).
fof(d20_pcs_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( C = k7_pcs_0(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = u1_pcs_0(k6_pcs_0(A,B,D)) ) ) ) ) ) )).
fof(d20_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( r7_pdiff_1(A,B,C,D,E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)))))) ) => ( F = k14_pdiff_1(A,B,C,D,E) <=> ( k1_relset_1(u1_struct_0(k4_real_ns1(A)),F) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(k4_real_ns1(A))) => ( r2_tarski(G,E) => k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B))),F,G) = k9_pdiff_1(A,B,C,D,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_pencil_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v16_pencil_1(B,A) <=> ? [C] : ( m1_subset_1(C,A) & ! [D] : ( m1_subset_1(D,A) => ( C != D => v3_card_1(k1_funct_1(B,D),1) ) ) ) ) ) )).
fof(d20_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => k20_polyform(A,B) = k2_struct_0(k19_polyform(A,B)) ) ) )).
fof(d20_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k19_pscomp_1(A) = k19_euclid(k6_pscomp_1(A),k2_pscomp_1(k1_pre_topc(k15_euclid(2),k14_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k14_pscomp_1(A)))) ) )).
fof(d20_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v4_qc_lang1(B,A) <=> ? [C] : ( m1_subset_1(C,k9_qc_lang1(A)) & ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k14_qc_lang1(A,C,D) ) ) ) ) ) )).
fof(d20_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r2_qc_lang2(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & r1_xxreal_0(1,D) & k3_finseq_1(E) = D & k1_funct_1(E,1) = B & k1_funct_1(E,D) = C & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & ~ r1_xxreal_0(D,F) & ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ! [H] : ( m1_subset_1(H,k9_qc_lang1(A)) => ~ ( k1_funct_1(E,F) = G & k1_funct_1(E,k1_nat_1(F,1)) = H & r1_qc_lang2(A,G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d20_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_quantal1(A) ) => ( v21_quantal1(A) <=> v17_quantal1(u1_quantal1(A),A) ) ) )).
fof(d20_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( C = k20_quaterni(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & B = k5_quaterni(D,E,F,G) & C = k5_quaterni(k3_xcmplx_0(A,D),k3_xcmplx_0(A,E),k3_xcmplx_0(A,F),k3_xcmplx_0(A,G)) ) ) ) ) ) ) ) )).
fof(d20_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v5_rewrite1(A) <=> ! [B] : ! [C] : ( ( r3_rewrite1(A,B) & r2_rewrite1(A,B,C) ) => r1_rewrite1(A,C,B) ) ) ) )).
fof(d20_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k10_ringcat1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A),A))) ) => ( B = k14_ringcat1(A) <=> ! [C] : ( m3_ringcat1(C,k10_ringcat1(A)) => k3_funct_2(k10_ringcat1(A),A,B,C) = k11_ringcat1(A,C) ) ) ) ) )).
fof(d20_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k15_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),k1_lattices(A,k12_robbins1(A,B),B)) ) ) )).
fof(d20_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( m1_eqrel_1(B,k3_tarski(A)) => ( v10_scmyciel(B,A) <=> ! [C] : ( r2_tarski(C,B) => ( v9_scmyciel(C,A) & m1_subset_1(C,k1_zfmisc_1(k3_tarski(A))) ) ) ) ) ) )).
fof(d20_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => k25_seq_4(A) = a_1_0_seq_4(A) ) )).
fof(d20_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_pre_topc(D) & m1_simplex0(D,A) ) => ( D = k11_simplex0(A,B,C) <=> ( k2_struct_0(D) = k2_struct_0(B) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) => ( v3_pre_topc(E,D) <=> ? [F] : ( v6_ordinal1(F) & v1_finset_1(F) & v1_tops_2(F,B) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & E = k7_relat_1(C,F) ) ) ) ) ) ) ) ) )).
fof(d20_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k20_sin_cos(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),C),k2_comseq_3(A,k1_nat_1(k3_xcmplx_0(2,C),1))),k2_newton(k1_nat_1(k3_xcmplx_0(2,C),1))) ) ) ) ) )).
fof(d20_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( ( v1_stacks_1(B) & l1_stacks_1(B) ) => ( B = k14_stacks_1(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & u4_struct_0(B) = k8_eqrel_1(u4_struct_0(A),k10_stacks_1(A)) & u1_stacks_1(B) = k6_domain_1(k1_zfmisc_1(u4_struct_0(A)),u1_stacks_1(A)) & u2_stacks_1(B) = k3_stacks_1(u1_struct_0(A),u4_struct_0(A),k10_stacks_1(A),u2_stacks_1(A)) & u3_stacks_1(B) = k2_filter_1(u4_struct_0(A),k10_stacks_1(A),k4_stacks_1(u4_struct_0(A),u4_struct_0(A),u1_stacks_1(A),u1_stacks_1(A),u3_stacks_1(A),k6_partfun1(u1_stacks_1(A)))) & ! [C] : ( m2_orders_1(C,k8_eqrel_1(u4_struct_0(A),k10_stacks_1(A)),k6_partfun1(k8_eqrel_1(u4_struct_0(A),k10_stacks_1(A)))) => u4_stacks_1(B) = k1_funct_7(k3_relat_1(C,u4_stacks_1(A)),u1_stacks_1(A),o_1_1_stacks_1(A)) ) ) ) ) ) )).
fof(d20_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => k20_substut1(A,B) = k1_domain_1(k9_qc_lang1(A),k1_substut1(A),k13_qc_lang1(A,k18_substut1(A,B)),k19_substut1(A,B)) ) ) )).
fof(d20_turing_1,axiom,( k18_turing_1 = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k11_turing_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(3),k7_domain_1(k4_ordinal1,k5_numbers,1)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k5_numbers),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,2,1),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,k5_numbers,1))),k2_turing_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_zfmisc_1(k4_ordinal1,k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,3,k5_numbers,k5_numbers))) )).
fof(d20_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k21_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k2_binarith(k2_binarith(B,C),D) ) ) ) ) ) )).
fof(d20_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v3_funct_1(A) <=> ? [B] : ! [C] : ( v7_ordinal1(C) => k1_funct_1(A,C) = B ) ) ) )).
fof(d20_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v13_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r1_orders_2(A,C,D) ) => r2_tarski(D,B) ) ) ) ) ) ) )).
fof(d20_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_waybel_1(A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k5_waybel_1(A,B) <=> v3_waybel_1(k1_waybel_1(A,A,C,k4_waybel_1(A,B)),A,A) ) ) ) ) ) )).
fof(d20_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v8_waybel_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_hidden(k4_tarski(C,D),B) & C != D & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_hidden(k4_tarski(C,E),B) & r2_hidden(k4_tarski(E,D),B) & C != E ) ) ) ) ) ) ) ) )).
fof(d20_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( v4_yellow_6(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v1_yellow_6(C,A) & l1_waybel_0(C,A) ) => ( r2_tarski(C,k5_yellow_6(A)) => r2_hidden(k4_tarski(C,k3_yellow_6(A,C)),B) ) ) ) ) ) )).
fof(d20_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v8_zf_lang(A) <=> ? [B] : ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k9_zf_lang(B,C) ) ) ) ) )).
fof(d20_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( r1_zmodul01(A,C,D) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( E = k9_zmodul01(A,B,C,D) <=> ( B = k3_rlvect_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E),k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) & r1_struct_0(C,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E)) & r1_struct_0(D,k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) ) ) ) ) ) ) ) ) )).
fof(d20_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_zmodul02(B,A) => ( B = k19_zmodul02(A) <=> k18_zmodul02(A,B) = k1_xboole_0 ) ) ) )).
fof(d21_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_abcmiz_0(A)) => ( r3_abcmiz_0(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_abcmiz_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(D,k4_finseq_1(C)) & E = k1_funct_1(C,D) & F = k1_funct_1(k7_abcmiz_0(A,B,C),D) ) => r1_abcmiz_0(A,F,E) ) ) ) ) ) ) ) ) )).
fof(d21_abcmiz_1,axiom,( k20_abcmiz_1 = k2_xboole_0(k2_xboole_0(k17_abcmiz_1,k18_abcmiz_1),k19_abcmiz_1) )).
fof(d21_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( r1_abcmiz_a(A,B,C) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & B = k56_abcmiz_1(A,D,C) ) ) ) ) ) )).
fof(d21_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r11_absred_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r3_absred_0(A,B,D) & r3_absred_0(A,C,D) ) ) ) ) ) )).
fof(d21_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(192,k5_margrel1)) => k23_aescip_1(A,B,C,D) = k1_funct_1(k2_funct_1(k3_aescip_1),k16_aescip_1(A,B,6,k1_aescip_1(4,4,k4_finseq_2(128,k5_margrel1),k4_finseq_2(8,k5_margrel1),k3_aescip_1,C),k19_aescip_1(D))) ) ) ) ) )).
fof(d21_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v17_algstr_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = k6_algstr_0(A,D,B) => C = D ) ) ) ) ) ) )).
fof(d21_algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B))))) ) => ( D = k18_algstr_4(A,B,C) <=> ( v1_group_6(D,k14_algstr_4(A),k14_algstr_4(B)) & r1_algstr_4(D,k3_relat_1(k2_funct_1(k16_algstr_4(A,1)),k1_partfun1(A,B,k11_algstr_4(B,1),u1_struct_0(k14_algstr_4(B)),C,k16_algstr_4(B,1)))) ) ) ) ) ) ) )).
fof(d21_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k17_aofa_000(A,B,C,D,E) = k13_aofa_000(A,B,k16_aofa_000(A,C,k13_aofa_000(A,D,E))) ) ) ) ) ) )).
fof(d21_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( l4_aofa_a00(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),E)) => ( m4_aofa_a00(F,A,B,C,D,E) <=> r2_tarski(F,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),E)) ) ) ) ) ) ) ) )).
fof(d21_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_int_1(B) => k25_aofa_i00(A,B) = k7_funcop_1(k9_funct_2(A,k4_numbers),B) ) ) )).
fof(d21_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => k9_armstrng(A,B) = a_2_4_armstrng(A,B) ) )).
fof(d21_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)) & v1_bilinear(E,A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v3_bilinear(E,A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)))) ) => ( E = k16_bilinear(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ( F = k3_vectsp_4(A,C,H,k14_bilinear(A,B,C,D)) => k2_binop_1(u1_struct_0(B),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D))),u1_struct_0(A),E,G,F) = k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d21_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( r8_binop_1(A,B,C,D,E) <=> ! [F] : ! [G] : ( ( r2_tarski(F,A) & r2_tarski(G,B) ) => k1_binop_1(D,F,G) = k1_binop_1(E,F,G) ) ) ) ) )).
fof(d21_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( m2_cat_1(C,A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,D)) = k4_cat_1(B,E) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,k3_graph_1(A,D))) = k4_cat_1(B,k3_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D))) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,k4_graph_1(A,D))) = k4_cat_1(B,k4_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D))) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( r2_hidden(k4_tarski(E,D),k9_xtuple_0(u1_cat_1(A))) => k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k1_cat_1(A,D,E)) = k1_cat_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D),k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,E)) ) ) ) ) ) ) ) ) )).
fof(d21_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) ) => k19_cat_4(A) = u5_cat_4(A) ) )).
fof(d21_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( ( ~ v2_struct_0(A) => k10_cat_6(A,B,C,D) = k1_funct_1(C,D) ) & ( v2_struct_0(A) => k10_cat_6(A,B,C,D) = o_1_2_cat_6(B) ) ) ) ) ) ) )).
fof(d21_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v16_cat_6(D,B,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v16_cat_6(E,C,A) => ! [F] : ( v2_xtuple_0(F) => ( m2_cat_7(F,A,B,C,D,E) <=> ? [G] : ( v1_cat_6(G) & v8_cat_6(G) & v9_cat_6(G) & v10_cat_6(G) & l1_cat_6(G) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(G),u1_struct_0(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(G),u1_struct_0(B)))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(G),u1_struct_0(C)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(G),u1_struct_0(C)))) & F = k3_xtuple_0(G,H,I) & v16_cat_6(H,G,B) & v16_cat_6(I,G,C) & r3_cat_7(A,B,C,G,D,E,H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d21_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(u1_struct_0(A),B),k6_closure2(u1_struct_0(A),B)) & v7_closure2(C,u1_struct_0(A),B) & v8_closure2(C,u1_struct_0(A),B) & v9_closure2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A),B),k6_closure2(u1_struct_0(A),B)))) ) => ! [D] : ( ( v11_closure2(D,A) & l1_closure2(D,A) ) => ( D = k10_closure2(A,B,C) <=> ( r6_pboole(u1_struct_0(A),u3_msualg_1(A,D),B) & u1_closure2(A,D) = a_3_0_closure2(A,B,C) ) ) ) ) ) ) )).
fof(d21_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k20_coh_sp(A)) => k21_coh_sp(A,B) = k1_xfamily(k1_xfamily(B)) ) )).
fof(d21_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => k13_cohsp_1(A) = a_1_0_cohsp_1(A) ) )).
fof(d21_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(A)) & v1_funct_1(D) & v1_finset_1(D) ) => ( D = k5_compos_1(A,B,C) <=> ( k9_xtuple_0(D) = k9_xtuple_0(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k9_xtuple_0(B)) => k1_funct_1(D,E) = k8_compos_0(u1_compos_1(A),k7_partfun1(u1_compos_1(A),B,E),C) ) ) ) ) ) ) ) ) )).
fof(d21_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_margrel1(B) ) => ( v8_comput_1(B,A) <=> k17_margrel1(B) = A ) ) )).
fof(d21_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_conlat_1(A))) => k12_conlat_1(A,B) = B ) ) )).
fof(d21_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => k18_convex4(A) = g1_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_clvect_1(A)) ) )).
fof(d21_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k16_decomp_1(A) = a_1_10_decomp_1(A) ) )).
fof(d21_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => k19_e_siec(A) = k2_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) ) )).
fof(d21_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),k2_ens_1(k16_ens_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k2_ens_1(k16_ens_1(A))))) ) => ( C = k19_ens_1(A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k3_funct_2(u4_struct_0(A),k2_ens_1(k16_ens_1(A)),C,D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)),k1_zfmisc_1(u4_struct_0(A))),k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,B,k3_graph_1(A,D)),k2_cat_1(A,B,k4_graph_1(A,D)))),k1_domain_1(k1_zfmisc_1(u4_struct_0(A)),k1_zfmisc_1(u4_struct_0(A)),k2_cat_1(A,B,k3_graph_1(A,D)),k2_cat_1(A,B,k4_graph_1(A,D))),k17_ens_1(A,B,D)) ) ) ) ) ) )).
fof(d21_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k18_facirc_1(A,B,C) = k3_circcomb(k14_facirc_1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1))),k16_facirc_1(A,B,C),k7_facirc_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1),k4_facirc_1)) )).
fof(d21_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => k18_fomodel0(A,B,C,D) = k3_relat_1(D,k1_funct_7(k6_partfun1(A),B,C)) ) )).
fof(d21_fomodel1,axiom,( ! [A] : ( l4_struct_0(A) => ! [B] : ( m1_subset_1(B,k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A)))) => ( ( B = u2_struct_0(A) => k12_fomodel1(A,B) = k4_xcmplx_0(2) ) & ( B != u2_struct_0(A) => k12_fomodel1(A,B) = k5_numbers ) ) ) ) )).
fof(d21_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_rfunct_3(D,k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) => ( D = k22_fomodel2(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( B = E => D = k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1),k21_fomodel2(A,C),E) ) ) ) ) ) ) ) )).
fof(d21_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_funct_2(E,k30_fomodel2(A),k30_fomodel2(A),k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) => ! [F] : ( m2_funct_2(F,k30_fomodel2(A),k30_fomodel2(A),k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) => ( F = k31_fomodel3(A,B,C,D,E) <=> ! [G] : ( ( v4_fomodel2(G,A) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k1_funct_1(F,G) = k29_fomodel3(A,B,C,D,E,G) ) ) ) ) ) ) ) ) )).
fof(d21_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r1_fomodel4(A,B,C) <=> r2_tarski(k2_xfamily(C),k1_xfamily(C)) ) ) ) )).
fof(d21_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k21_ftacell1(A,B,C,D,E) = k45_gfacirc1(A,B,C) )).
fof(d21_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ( v13_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(A,E,F) != k1_xboole_0 & ? [G] : ( m1_subset_1(G,k1_altcat_1(A,D,E)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(A,E,F)) & ! [I] : ( m1_subset_1(I,k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E))) => ! [J] : ( m1_subset_1(J,k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,F))) => ~ ( I = k1_funct_1(k4_functor0(A,B,C,D,E),G) & J = k1_funct_1(k4_functor0(A,B,C,E,F),H) & k1_funct_1(k4_functor0(A,B,C,D,F),k5_altcat_1(A,D,E,F,G,H)) = k5_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E),k3_functor0(A,B,C,F),I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d21_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & k21_gate_1(A,B,C,D,E) != k1_gate_1(k1_xboole_0) ) & ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) ) => k21_gate_1(A,B,C,D,E) = k1_xboole_0 ) ) )).
fof(d21_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ! [B] : ( ( v1_xcmplx_0(B) & v1_gaussint(B) ) => ( r2_gaussint(A,B) <=> ( r1_gaussint(A,B) & r1_gaussint(B,A) ) ) ) ) )).
fof(d21_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k21_gfacirc1(A,B,C) = k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_gfacirc1),k4_tarski(k10_finseq_1(B,C),k2_twoscomp),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)),k4_facirc_1) )).
fof(d21_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r2_tarski(C,k13_glib_001(A,B)) => ( D = k18_glib_001(A,B,C) <=> ( r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,D) = C & ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ( ( r1_xxreal_0(E,k3_finseq_1(B)) & k1_funct_1(B,E) = C ) => r1_xxreal_0(E,D) ) ) ) ) ) & ( ~ r2_tarski(C,k13_glib_001(A,B)) => ( D = k18_glib_001(A,B,C) <=> D = k3_finseq_1(B) ) ) ) ) ) ) )).
fof(d21_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => ! [B] : ! [C] : ( ( r2_hidden(B,k7_glib_000(A)) => k12_glib_003(A,B,C) = k13_glib_000(A,k3_glib_003,k1_funct_4(k6_glib_003(A),k17_funcop_1(B,C))) ) & ( ~ r2_hidden(B,k7_glib_000(A)) => k12_glib_003(A,B,C) = A ) ) ) )).
fof(d21_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => k13_glib_005(A,B,C) = k40_glib_000(k12_glib_005(A,C,B)) ) ) ) )).
fof(d21_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k8_graph_1(A,B) <=> ? [D] : ( v1_finset_1(D) & ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,u4_struct_0(A)) & k1_funct_1(u2_graph_1(A),E) = B ) ) & C = k4_card_1(D) ) ) ) ) ) )).
fof(d21_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => k19_graphsp(A) = k9_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A)),A) ) )).
fof(d21_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k1_funct_2(k15_group_10(A,B),k15_group_10(A,B))) & v1_group_10(D,C,k15_group_10(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(k15_group_10(A,B),k15_group_10(A,B))))) ) => ( D = k17_group_10(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k1_funct_2(k15_group_10(A,B),k15_group_10(A,B)),D,E) = k16_group_10(A,B,C,E) ) ) ) ) ) ) )).
fof(d21_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v2_group_9(E,A) & m1_group_9(E,A,B) ) => ( E = k13_group_9(A,B,C,D) <=> u1_struct_0(E) = a_4_1_group_9(A,B,C,D) ) ) ) ) ) )).
fof(d21_idea_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k14_idea_1,k14_idea_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) => ( C = k21_idea_1(A,B) <=> ! [D] : ( m2_finseq_1(D,k4_ordinal1) => k1_funct_1(C,D) = k11_idea_1(A,k12_idea_1(A,D,B),B) ) ) ) ) ) )).
fof(d21_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k14_ideal_1(A,B,C) = a_3_4_ideal_1(A,B,C) ) ) ) )).
fof(d21_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ( ~ r1_incsp_1(A,B,C) => ! [D] : ( m1_subset_1(D,u4_incsp_1(A)) => ( D = k3_incsp_1(A,B,C) <=> ( r2_incsp_1(A,B,D) & r3_incsp_1(A,C,D) ) ) ) ) ) ) ) )).
fof(d21_intpro_1,axiom,( k12_intpro_1 = k11_intpro_1(k1_subset_1(k1_intpro_1)) )).
fof(d21_lattad_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) ) => ( A = k15_lattad_1 <=> ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ! [C] : ( m1_subset_1(C,k1_enumset1(1,2,3)) => k4_binop_1(k1_enumset1(1,2,3),A,B,C) = k14_lattad_1(B,C) ) ) ) ) )).
fof(d21_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k15_lattice3(A,B) <=> ( r4_lattice3(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r4_lattice3(A,D,B) => r1_lattices(A,C,D) ) ) ) ) ) ) ) )).
fof(d21_lattice5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_lattice5(B,u1_struct_0(A),A) & v2_lattice5(B,u1_struct_0(A),A) & v3_lattice5(B,u1_struct_0(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) => ( B = k16_lattice5(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( C != D => k3_lattice5(u1_struct_0(A),A,B,C,D) = k13_lattice3(A,C,D) ) & ( C = D => k3_lattice5(u1_struct_0(A),A,B,C,D) = k3_yellow_0(A) ) ) ) ) ) ) ) )).
fof(d21_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v16_lattices(A) & l3_lattices(A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k7_lattices(A,B) <=> r2_lattices(A,C,B) ) ) ) ) ) )).
fof(d21_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) => ! [C] : k20_lexbfs(A,B,C) = k4_tarski(k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B),k3_lexbfs(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k4_ordinal1,k6_glib_000(A),B),k2_finsub_1(k1_zfmisc_1(k6_glib_000(A)),k2_chord(A,k1_tarski(C)),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B))),1)) ) ) )).
fof(d21_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k13_lmod_7(A,B,C))),u1_struct_0(k13_lmod_7(A,B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k13_lmod_7(A,B,C))),u1_struct_0(k13_lmod_7(A,B,C))))) ) => ( D = k16_lmod_7(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k13_lmod_7(A,B,C))) => k2_binop_1(u1_struct_0(A),u1_struct_0(k13_lmod_7(A,B,C)),u1_struct_0(k13_lmod_7(A,B,C)),D,E,F) = k15_lmod_7(A,B,C,E,F) ) ) ) ) ) ) ) )).
fof(d21_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k24_lpspacc1(A,B,C) = g2_clvect_1(u1_struct_0(k22_lpspacc1(A,B,C)),u2_struct_0(k22_lpspacc1(A,B,C)),u1_algstr_0(k22_lpspacc1(A,B,C)),u1_clvect_1(k22_lpspacc1(A,B,C)),k23_lpspacc1(A,B,C)) ) ) ) )).
fof(d21_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( r6_ltlaxio1(A,B,C) <=> ? [D] : ( m1_subset_1(D,k1_hilbert1) & ? [E] : ( m1_subset_1(E,k1_hilbert1) & A = k3_hilbert1(D,E) & B = k3_hilbert1(D,k2_ltlaxio1(D)) & C = k3_hilbert1(D,k6_ltlaxio1(E)) ) ) ) ) ) ) )).
fof(d21_margrel1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_margrel1(A) <=> v2_card_3(k9_xtuple_0(A)) ) ) )).
fof(d21_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k24_member_1(A,B) = k14_member_1(k1_tarski(B),A) ) ) )).
fof(d21_membered,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( v3_membered(B) => ( r1_xboole_0(A,B) <=> ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(C,A) & r2_hidden(C,B) ) ) ) ) ) )).
fof(d21_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v1_mmlquery(B,A) <=> r1_relset_1(A,A,B,k4_relat_1(A)) ) ) )).
fof(d21_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v3_modelc_1(A) & ~ v5_modelc_1(A) & ~ v6_modelc_1(A) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v3_modelc_1(A) => ( B = k14_modelc_1(A) <=> k7_modelc_1(B) = A ) ) & ( v5_modelc_1(A) => ( B = k14_modelc_1(A) <=> k9_modelc_1(B) = A ) ) & ~ ( ~ v3_modelc_1(A) & ~ v5_modelc_1(A) & ~ ( B = k14_modelc_1(A) <=> k10_modelc_1(B) = A ) ) ) ) ) ) )).
fof(d21_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r1_modelc_2(A,B) <=> ~ ( B != k3_modelc_2(A) & B != k6_modelc_2(A) & ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( B != k4_modelc_2(A,C) & B != k4_modelc_2(C,A) & B != k5_modelc_2(A,C) & B != k5_modelc_2(C,A) & B != k7_modelc_2(A,C) & B != k7_modelc_2(C,A) & B != k8_modelc_2(A,C) & B != k8_modelc_2(C,A) ) ) ) ) ) ) )).
fof(d21_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_modelc_3(A))) => k13_modelc_3(A,B) = B ) ) )).
fof(d21_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v4_vectsp_1(A) <=> r3_binop_1(u1_struct_0(A),k5_struct_0(A),u2_algstr_0(A)) ) ) )).
fof(d21_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( r2_tarski(D,k3_msualg_1(A,C,B)) => k18_msafree(A,B,C,D) = k1_funct_1(k5_msualg_1(A,C,B),D) ) ) ) ) ) )).
fof(d21_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,C))) => ( v9_msafree5(F,A,B,C,D,E) <=> k10_relat_1(F,k1_domain_1(k1_msafree4(u1_struct_0(A),B,D),u1_struct_0(A),E,D)) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d21_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)))) ) => ( C = k16_msualg_2(A,B) <=> ! [D] : ( m1_subset_1(D,k14_msualg_2(A,B)) => ! [E] : ( m1_subset_1(E,k14_msualg_2(A,B)) => ! [F] : ( ( v3_msualg_1(F,A) & m1_msualg_2(F,A,B) ) => ! [G] : ( ( v3_msualg_1(G,A) & m1_msualg_2(G,A,B) ) => ( ( D = F & E = G ) => k4_binop_1(k14_msualg_2(A,B),C,D,E) = k11_msualg_2(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d21_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( v1_cat_1(B) & m3_cat_2(B,A) ) => ( B = k10_nattra_1(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & u4_struct_0(B) = a_1_0_nattra_1(A) ) ) ) ) )).
fof(d21_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r17_ncfcont1(A,B,C) <=> ( r1_tarski(B,k1_relset_1(u1_struct_0(A),C)) & ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(E,B) & r2_tarski(F,B) ) => r1_xxreal_0(k9_complex1(k5_real_1(k7_partfun1(k1_numbers,C,E),k7_partfun1(k1_numbers,C,F))),k3_xcmplx_0(D,k2_normsp_0(A,k5_algstr_0(A,E,F)))) ) ) ) ) ) ) ) ) )).
fof(d21_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_oposet_1(A,B) <=> ( v9_oposet_1(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) & r2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) & r4_waybel_1(A,k1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))),u1_struct_0(A)) & r3_waybel_1(A,k2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))),u1_struct_0(A)) ) ) ) ) ) ) )).
fof(d21_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))))) ) => ( C = k19_osafree(A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(D,k6_dtconstr(k2_osafree(A,B))) => k1_funct_1(C,k2_trees_4(u1_struct_0(k2_osafree(A,B)),D)) = k17_osafree(A,B,D) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B))) => ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r1_lang1(k2_osafree(A,B),D,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),E)) => k1_funct_1(C,k8_trees_4(u1_struct_0(k2_osafree(A,B)),D,E)) = k18_osafree(A,B,D,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),E,C)) ) ) ) ) ) ) ) ) )).
fof(d21_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( v13_osalg_1(B,A) <=> ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( r6_osalg_1(A,C,D) => k2_partfun1(k3_msualg_1(A,D,B),k4_msualg_1(A,D,B),k5_msualg_1(A,D,B),k3_msualg_1(A,C,B)) = k5_msualg_1(A,C,B) ) ) ) ) ) ) )).
fof(d21_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(u3_msualg_1(A,B),D),k6_osalg_4(A,B,C,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k6_osalg_4(A,B,C,D)))) ) => ( E = k17_osalg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),D)) => k3_funct_2(k1_funct_1(u3_msualg_1(A,B),D),k6_osalg_4(A,B,C,D),E,F) = k8_osalg_4(A,B,C,D,F) ) ) ) ) ) ) ) )).
fof(d21_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r8_pboole(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => k1_funct_1(B,D) = k1_funct_1(C,D) ) ) ) ) ) )).
fof(d21_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => ! [B] : ( l1_pcs_0(B) => k8_pcs_0(A,B) = g1_pcs_0(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k3_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_pcs_0(A),u1_pcs_0(B))) ) ) )).
fof(d21_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v13_pencil_1(B) & v16_pencil_1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ( C = k3_pencil_1(A,B) <=> ~ v1_zfmisc_1(k1_funct_1(B,C)) ) ) ) ) )).
fof(d21_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => k21_polyform(A,B) = k3_ranknull(k2_bspace,k14_polyform(A,k2_xcmplx_0(B,1)),k14_polyform(A,k6_xcmplx_0(k2_xcmplx_0(B,1),1)),k18_polyform(A,k2_xcmplx_0(B,1))) ) ) )).
fof(d21_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k20_pscomp_1(A) = k19_euclid(k1_pscomp_1(k1_pre_topc(k15_euclid(2),k15_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k15_pscomp_1(A))),k7_pscomp_1(A)) ) )).
fof(d21_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v5_qc_lang1(B,A) <=> ? [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) & ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k15_qc_lang1(A,C,D) ) ) ) ) ) )).
fof(d21_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r3_qc_lang2(A,B,C) <=> ( r2_qc_lang2(A,B,C) & B != C ) ) ) ) ) )).
fof(d21_quantal1,axiom,( ! [A] : ( l3_quantal1(A) => k3_quantal1(A) = u1_quantal1(A) ) )).
fof(d21_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k25_quaterni(A) = k21_quaterni(k21_quaterni(k18_quaterni(k12_quaterni(A),k20_quaterni(k4_xcmplx_0(k13_quaterni(A)),k1_xcmplx_0)),k20_quaterni(k4_xcmplx_0(k14_quaterni(A)),k10_quaterni)),k20_quaterni(k4_xcmplx_0(k15_quaterni(A)),k11_quaterni)) ) )).
fof(d21_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v6_rewrite1(A) <=> ! [B] : ! [C] : ! [D] : ( ( r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(B,D),A) ) => r7_rewrite1(A,C,D) ) ) ) )).
fof(d21_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k10_ringcat1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A),A))) ) => ( B = k15_ringcat1(A) <=> ! [C] : ( m3_ringcat1(C,k10_ringcat1(A)) => k3_funct_2(k10_ringcat1(A),A,B,C) = k12_ringcat1(A,C) ) ) ) ) )).
fof(d21_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k16_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),k1_lattices(A,k12_robbins1(A,B),k12_robbins1(A,B))) ) ) )).
fof(d21_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( ( v5_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( B = k26_seq_4(A) <=> ( k1_rvsum_1(B) = k1_rvsum_1(A) & k3_finseq_1(B) = k4_card_1(k1_rvsum_1(A)) ) ) ) ) )).
fof(d21_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_simplex0(E,A) => ( E = k12_simplex0(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k1_funct_1(F,k5_numbers) = B & k1_funct_1(F,D) = E & k9_xtuple_0(F) = k4_ordinal1 & ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_simplex0(H,A) => ( H = k1_funct_1(F,G) => k1_funct_1(F,k1_nat_1(G,1)) = k11_simplex0(A,H,C) ) ) ) ) ) ) ) ) ) )).
fof(d21_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k21_sin_cos(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),C),k2_comseq_3(A,k3_xcmplx_0(2,C))),k2_newton(k3_xcmplx_0(2,C))) ) ) ) ) )).
fof(d21_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_stacks_1(B) & v3_stacks_1(B) & v4_stacks_1(B) & v5_stacks_1(B) & v6_stacks_1(B) & l1_stacks_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r3_stacks_1(A,B,C,D) <=> ( k9_xtuple_0(C) = u1_struct_0(A) & k10_xtuple_0(C) = u1_struct_0(B) & v2_funct_1(C) & k9_xtuple_0(D) = u4_struct_0(A) & k10_xtuple_0(D) = u4_struct_0(B) & v2_funct_1(D) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ( F = k1_funct_1(D,E) => ( ( r1_stacks_1(A,E) => r1_stacks_1(B,F) ) & ( r1_stacks_1(B,F) => r1_stacks_1(A,E) ) & ( ~ r1_stacks_1(A,E) => ( k5_stacks_1(B,F) = k1_funct_1(D,k5_stacks_1(A,E)) & k6_stacks_1(B,F) = k1_funct_1(C,k6_stacks_1(A,E)) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( H = k1_funct_1(C,G) => k7_stacks_1(B,F,H) = k1_funct_1(D,k7_stacks_1(A,E,G)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d21_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => k21_substut1(A,B,C) = k1_domain_1(k9_qc_lang1(A),k1_substut1(A),k14_qc_lang1(A,k18_substut1(A,B),k18_substut1(A,C)),k19_substut1(A,B)) ) ) ) ) )).
fof(d21_turing_1,axiom,( ! [A] : ( ( v1_turing_1(A) & l1_turing_1(A) ) => ( A = k19_turing_1 <=> ( u1_turing_1(A) = k7_domain_1(k4_ordinal1,k5_numbers,1) & u2_turing_1(A) = k3_turing_1(3) & r1_funct_2(k2_zfmisc_1(u2_turing_1(A),u1_turing_1(A)),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(3),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(3),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),u3_turing_1(A),k18_turing_1) & u4_turing_1(A) = k5_numbers & u5_turing_1(A) = 3 ) ) ) )).
fof(d21_twoscomp,axiom,( ! [A] : ! [B] : k22_twoscomp(A,B) = k5_circcomb(k8_twoscomp,k10_finseq_1(A,B)) )).
fof(d21_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v14_waybel_0(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_tarski(C,B) & r2_lattice3(A,B,C) ) ) ) ) )).
fof(d21_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_waybel_1(A,B,C) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k5_waybel_1(A,B),C) ) ) ) )).
fof(d21_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v9_waybel_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_hidden(k4_tarski(C,D),B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_hidden(k4_tarski(C,E),B) & r2_hidden(k4_tarski(E,D),B) ) ) ) ) ) ) ) ) )).
fof(d21_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( v5_yellow_6(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( m2_yellow_6(D,A,C) => ( r2_tarski(D,k5_yellow_6(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,E),B) => r2_hidden(k4_tarski(D,E),B) ) ) ) ) ) ) ) ) )).
fof(d21_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v9_zf_lang(A) <=> ? [B] : ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k10_zf_lang(B,C) ) ) ) ) )).
fof(d21_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)))) ) => ( B = k10_zmodul01(A) <=> ! [C] : ( m1_subset_1(C,k8_zmodul01(A)) => ! [D] : ( m1_subset_1(D,k8_zmodul01(A)) => ! [E] : ( m1_zmodul01(E,A) => ! [F] : ( m1_zmodul01(F,A) => ( ( C = E & D = F ) => k4_binop_1(k8_zmodul01(A),B,C,D) = k6_zmodul01(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d21_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_zmodul02(C,A) => ( m2_zmodul02(C,A,B) <=> r1_tarski(k18_zmodul02(A,C),B) ) ) ) ) )).
fof(d22_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => k25_abcmiz_1(A) = k21_abcmiz_1(k24_abcmiz_1(A)) ) )).
fof(d22_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k38_abcmiz_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) => ( r2_abcmiz_a(A,B,C) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & r1_tarski(k63_abcmiz_1(A,D,C),B) ) ) ) ) ) )).
fof(d22_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r12_absred_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_absred_0(A,D,B) & r2_absred_0(A,D,C) ) ) ) ) ) )).
fof(d22_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(192,k5_margrel1)) => k24_aescip_1(A,B,C,D) = k1_funct_1(k2_funct_1(k3_aescip_1),k17_aescip_1(A,B,6,k1_aescip_1(4,4,k4_finseq_2(128,k5_margrel1),k4_finseq_2(8,k5_margrel1),k3_aescip_1,C),k19_aescip_1(D))) ) ) ) ) )).
fof(d22_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => k18_aofa_000(A) = k7_subset_1(u1_struct_0(A),k7_subset_1(u1_struct_0(A),k7_subset_1(u1_struct_0(A),k6_subset_1(u1_struct_0(A),k1_tarski(k12_aofa_000(A))),k2_relset_1(u1_struct_0(A),k2_pua2mss1(A,k10_subset_1(3,k4_finseq_1(u1_unialg_1(A)))))),k2_relset_1(u1_struct_0(A),k2_pua2mss1(A,k10_subset_1(4,k4_finseq_1(u1_unialg_1(A)))))),a_1_1_aofa_000(A)) ) )).
fof(d22_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( l4_aofa_a00(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k15_aofa_a00(A,B,C,D,E) = k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),E) ) ) ) ) ) )).
fof(d22_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) => ( v1_aofa_i00(D,A,B,C) <=> ( ! [E] : ( m2_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => r2_aofa_i00(A,B,C,D,E,F) ) ) & ! [E] : ( v1_int_1(E) => m3_aofa_i00(k25_aofa_i00(B,E),A,B,C,D) ) & ! [E] : ( m2_aofa_i00(E,A,B,C,D) => m3_aofa_i00(k23_aofa_i00(B,E),A,B,C,D) ) & ! [E] : ( m1_subset_1(E,B) => m2_aofa_i00(k24_aofa_i00(B,E),A,B,C,D) ) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_numbers,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,B))) & v2_funct_1(k2_partfun1(k4_numbers,B,E,k1_card_1(B))) & ! [F] : ( m3_aofa_i00(F,A,B,C,D) => m2_aofa_i00(k1_partfun1(k9_funct_2(B,k4_numbers),k4_numbers,k4_numbers,B,F,E),A,B,C,D) ) ) & ! [E] : ( m3_aofa_i00(E,A,B,C,D) => m3_aofa_i00(k34_valued_1(k9_funct_2(B,k4_numbers),k4_numbers,E),A,B,C,D) ) & ! [E] : ( m3_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => ( m3_aofa_i00(k22_valued_1(k9_funct_2(B,k4_numbers),k4_numbers,k4_numbers,E,F),A,B,C,D) & m3_aofa_i00(k16_aofa_i00(k9_funct_2(B,k4_numbers),E,F),A,B,C,D) & m3_aofa_i00(k10_aofa_i00(k9_funct_2(B,k4_numbers),E,F),A,B,C,D) & m3_aofa_i00(k11_aofa_i00(k9_funct_2(B,k4_numbers),E,F),A,B,C,D) & m3_aofa_i00(k12_aofa_i00(k9_funct_2(B,k4_numbers),E,F),A,B,C,D) & m3_aofa_i00(k13_aofa_i00(k9_funct_2(B,k4_numbers),E,F),A,B,C,D) ) ) ) ) ) ) ) ) ) )).
fof(d22_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => k11_aofa_l00(A,B,C) = k1_funct_1(k5_msualg_1(B,k10_subset_1(k1_funct_1(u7_aofa_a00(B),k2_xcmplx_0(A,5)),u4_struct_0(B)),C),k1_xboole_0) ) ) ) )).
fof(d22_armstrng,axiom,( ! [A] : ! [B] : k10_armstrng(A,B) = a_2_5_armstrng(A,B) )).
fof(d22_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)) & v1_bilinear(E,A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v2_bilinear(E,A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v3_bilinear(E,A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v4_bilinear(E,A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)))) ) => ( E = k17_bilinear(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ( ( F = k3_vectsp_4(A,B,H,k13_bilinear(A,B,C,D)) & G = k3_vectsp_4(A,C,I,k14_bilinear(A,B,C,D)) ) => k2_binop_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D))),u1_struct_0(A),E,F,G) = k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,H,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d22_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers))) ) => ( A = k22_binop_2 <=> ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k1_binop_1(A,B,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(d22_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,D)) = k4_cat_1(B,E) ) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( D = k7_cat_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,E)) = k4_cat_1(B,F) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,E) = F ) ) ) ) ) ) ) ) ) )).
fof(d22_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k20_cat_4(A,B,C) = k4_binop_1(u1_struct_0(A),u6_cat_4(A),B,C) ) ) ) )).
fof(d22_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v13_cat_6(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( v11_cat_6(D,A) => v11_cat_6(k10_cat_6(A,B,C,D),B) ) ) ) ) ) ) )).
fof(d22_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v16_cat_6(D,B,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v16_cat_6(E,C,A) => k8_cat_7(A,B,C,D,E) = k4_xtuple_0(o_5_1_cat_7(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(d22_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v15_closure2(B,A) & l1_closure2(B,A) ) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( m1_closure2(D,u1_struct_0(A),u3_msualg_1(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) => ( D = k11_closure2(A,B,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) & r6_pboole(u1_struct_0(A),D,k4_mssubfam(u1_struct_0(A),u3_msualg_1(A,B),k5_closure2(u1_struct_0(A),u3_msualg_1(A,B),E))) & E = a_3_1_closure2(A,B,C) ) ) ) ) ) ) )).
fof(d22_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k20_coh_sp(A)) => k22_coh_sp(A,B) = k2_xfamily(k1_xfamily(B)) ) )).
fof(d22_cohsp_1,axiom,( ! [A] : ! [B] : k14_cohsp_1(A,B) = k3_card_3(k2_card_3(k10_finseq_1(A,B))) )).
fof(d22_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( v7_ordinal1(C) => k6_compos_1(A,B,C) = k61_valued_1(k5_compos_1(A,B,C),C) ) ) ) )).
fof(d22_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k14_comput_1(A) = k3_relat_1(k5_funct_6(k10_finseq_1(k5_comput_1(3,1),k5_comput_1(3,3))),A) ) )).
fof(d22_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xcmplx_0(C) => k19_convex4(A,B,C) = a_3_0_convex4(A,B,C) ) ) ) )).
fof(d22_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k17_decomp_1(A) = a_1_11_decomp_1(A) ) )).
fof(d22_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),k2_ens_1(k16_ens_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k2_ens_1(k16_ens_1(A))))) ) => ( C = k20_ens_1(A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k3_funct_2(u4_struct_0(A),k2_ens_1(k16_ens_1(A)),C,D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)),k1_zfmisc_1(u4_struct_0(A))),k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,k4_graph_1(A,D),B),k2_cat_1(A,k3_graph_1(A,D),B))),k1_domain_1(k1_zfmisc_1(u4_struct_0(A)),k1_zfmisc_1(u4_struct_0(A)),k2_cat_1(A,k4_graph_1(A,D),B),k2_cat_1(A,k3_graph_1(A,D),B)),k18_ens_1(A,B,D)) ) ) ) ) ) )).
fof(d22_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k19_facirc_1(A,B,C) = k2_circcomb(k8_facirc_1(A,B,C,k1_facirc_1),k15_facirc_1(A,B,C)) )).
fof(d22_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_finseq_2(A),k3_finseq_2(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)))) ) => ( D = k20_fomodel0(A,B,C) <=> ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,A) & v1_funct_1(E) & v1_finseq_1(E) ) => k1_funct_1(D,E) = k19_fomodel0(A,B,C,E) ) ) ) ) ) )).
fof(d22_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l4_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k6_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),u3_struct_0(A))),k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),u3_struct_0(A))),k4_numbers))) ) => ( B = k14_fomodel1(A) <=> ! [C] : ( m2_subset_1(C,u1_struct_0(A),k6_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),u3_struct_0(A)))) => k3_funct_2(k6_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),u3_struct_0(A))),k4_numbers,B,C) = k13_fomodel1(A,C) ) ) ) ) )).
fof(d22_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => k23_fomodel2(A,B,C,D) = k1_funct_1(k1_funct_5(k22_fomodel2(A,C,B)),D) ) ) ) ) )).
fof(d22_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m2_funct_2(D,k30_fomodel2(A),k30_fomodel2(A),k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))))) ) => ( E = k32_fomodel3(A,B,C,D) <=> ( k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),E,k5_numbers) = D & ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),E,k1_nat_1(F,1)) = k31_fomodel3(A,B,C,F,k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),E,F)) ) ) ) ) ) ) ) ) )).
fof(d22_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r2_fomodel4(A,B,C) <=> ? [D] : ( r2_tarski(D,A) & r1_tarski(k1_xfamily(D),k1_xfamily(C)) & k2_xfamily(C) = k2_xfamily(D) ) ) ) ) )).
fof(d22_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ( v7_fsm_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => v6_fsm_1(D,A,B,C) ) ) ) ) ) )).
fof(d22_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k22_ftacell1(A,B,C,D,E) = k48_gfacirc1(A,B,C) )).
fof(d22_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ( v14_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(A,E,F) != k1_xboole_0 & ? [G] : ( m1_subset_1(G,k1_altcat_1(A,D,E)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(A,E,F)) & ! [I] : ( m1_subset_1(I,k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D))) => ! [J] : ( m1_subset_1(J,k1_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,C,E))) => ~ ( I = k1_funct_1(k4_functor0(A,B,C,D,E),G) & J = k1_funct_1(k4_functor0(A,B,C,E,F),H) & k1_funct_1(k4_functor0(A,B,C,D,F),k5_altcat_1(A,D,E,F,G,H)) = k5_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,C,E),k3_functor0(A,B,C,D),J,I) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d22_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & k22_gate_1(A,B,C,D,E,F) != k1_gate_1(k1_xboole_0) ) & ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) ) => k22_gate_1(A,B,C,D,E,F) = k1_xboole_0 ) ) )).
fof(d22_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k22_gfacirc1(A,B,C) = k8_facirc_1(A,B,C,k4_gfacirc1) )).
fof(d22_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => ( v1_abian(C) | ( D = k19_glib_001(A,B,C) <=> ( r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,D) = k1_funct_1(B,C) & ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ( ( r1_xxreal_0(E,k3_finseq_1(B)) & k1_funct_1(B,E) = k1_funct_1(B,C) ) => r1_xxreal_0(E,D) ) ) ) ) ) ) & ( ~ ( ~ v1_abian(C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( D = k19_glib_001(A,B,C) <=> D = k3_finseq_1(B) ) ) ) ) ) ) ) )).
fof(d22_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => ! [B] : ! [C] : ( ( r2_hidden(B,k6_glib_000(A)) => k13_glib_003(A,B,C) = k13_glib_000(A,k4_glib_003,k1_funct_4(k7_glib_003(A),k17_funcop_1(B,C))) ) & ( ~ r2_hidden(B,k6_glib_000(A)) => k13_glib_003(A,B,C) = A ) ) ) )).
fof(d22_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k9_graph_1(A,B) <=> ? [D] : ( v1_finset_1(D) & ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,u4_struct_0(A)) & k1_funct_1(u1_graph_1(A),E) = B ) ) & C = k4_card_1(D) ) ) ) ) ) )).
fof(d22_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v2_group_9(E,A) & m1_group_9(E,A,C) ) => ( E = k14_group_9(A,B,C,D) <=> u1_struct_0(E) = k7_relset_1(u1_struct_0(B),u1_struct_0(C),D,u1_struct_0(B)) ) ) ) ) ) )).
fof(d22_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( C = k15_hahnban1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k3_funct_2(u1_struct_0(A),k1_numbers,B,k3_vectsp_1(k1_complfld,A,k2_hahnban1,D)) ) ) ) ) ) )).
fof(d22_idea_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k14_idea_1,k14_idea_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) => ( C = k22_idea_1(A,B) <=> ! [D] : ( m2_finseq_1(D,k4_ordinal1) => k1_funct_1(C,D) = k12_idea_1(A,k11_idea_1(A,D,B),B) ) ) ) ) ) )).
fof(d22_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r4_ideal_1(A,B,C) <=> k11_ideal_1(A,B,C) = u1_struct_0(A) ) ) ) ) )).
fof(d22_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ~ ( B != C & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & r1_incsp_1(A,D,B) & r1_incsp_1(A,D,C) ) & ~ ! [D] : ( m1_subset_1(D,u4_incsp_1(A)) => ( D = k4_incsp_1(A,B,C) <=> ( r3_incsp_1(A,B,D) & r3_incsp_1(A,C,D) ) ) ) ) ) ) ) )).
fof(d22_lattad_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) ) => ( A = k16_lattad_1 <=> ! [B] : ( m1_subset_1(B,k1_enumset1(1,2,3)) => ! [C] : ( m1_subset_1(C,k1_enumset1(1,2,3)) => k4_binop_1(k1_enumset1(1,2,3),A,B,C) = k13_lattad_1(B,C) ) ) ) ) )).
fof(d22_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : k16_lattice3(A,B) = k15_lattice3(A,a_2_1_lattice3(A,B)) ) )).
fof(d22_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v18_lattices(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_lattices(A,C,D) & r2_tarski(D,B) ) => r2_tarski(C,B) ) ) ) ) ) ) )).
fof(d22_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) => ( E = k21_lexbfs(A,B,C,D) <=> ? [F] : ( m1_subset_1(F,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) & F = k4_tarski(k1_funct_4(k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B),k17_funcop_1(C,k7_nat_d(k15_glib_000(A),D))),k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k4_ordinal1,k6_glib_000(A),B)) & E = k20_lexbfs(A,F,C) ) ) ) ) ) ) ) )).
fof(d22_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => k17_lmod_7(A,B,C) = g1_vectsp_1(A,u1_struct_0(k13_lmod_7(A,B,C)),u1_algstr_0(k13_lmod_7(A,B,C)),k14_lmod_7(A,B,C,k4_struct_0(B)),k16_lmod_7(A,B,C)) ) ) ) )).
fof(d22_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v3_ltlaxio1(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & A = k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(B)),k2_ltlaxio1(k1_ltlaxio1(B))) ) ) ) )).
fof(d22_margrel1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ( v3_margrel1(B,A) <=> ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & r2_tarski(C,k9_xtuple_0(B)) ) => r2_tarski(D,k9_xtuple_0(B)) ) ) ) ) ) )).
fof(d22_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k25_member_1(A,B) = k15_member_1(k1_tarski(B),A) ) ) )).
fof(d22_membered,axiom,( ! [A] : ( v4_membered(A) => ! [B] : ( v4_membered(B) => ( r1_xboole_0(A,B) <=> ! [C] : ( v1_rat_1(C) => ~ ( r2_hidden(C,A) & r2_hidden(C,B) ) ) ) ) ) )).
fof(d22_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_metric_1(A,B,C,D) <=> ( B != C & B != D & C != D & k1_metric_1(A,B,D) = k2_xcmplx_0(k1_metric_1(A,B,C),k1_metric_1(A,C,D)) ) ) ) ) ) ) )).
fof(d22_metric_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers))) ) => ( A = k22_metric_3 <=> ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ! [E] : ( m1_subset_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k1_numbers) => ! [G] : ( m1_subset_1(G,k1_numbers) => ! [H] : ( m1_subset_1(H,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)) => ! [I] : ( m1_subset_1(I,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)) => ( ( H = k4_domain_1(k1_numbers,k1_numbers,k1_numbers,B,D,F) & I = k4_domain_1(k1_numbers,k1_numbers,k1_numbers,C,E,G) ) => k2_binop_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k1_numbers,A,H,I) = k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k4_binop_1(k1_numbers,k6_metric_1,B,C)),k1_square_1(k4_binop_1(k1_numbers,k6_metric_1,D,E))),k1_square_1(k4_binop_1(k1_numbers,k6_metric_1,F,G)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d22_mmlquery,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : k24_mmlquery(A,B) = k1_card_1(a_2_0_mmlquery(A,B)) ) )).
fof(d22_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v4_modelc_1(A) | v7_modelc_1(A) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v4_modelc_1(A) => ( B = k15_modelc_1(A) <=> ? [C] : ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) & k8_modelc_1(B,C) = A ) ) ) & ( ~ v4_modelc_1(A) => ( B = k15_modelc_1(A) <=> ? [C] : ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) & k11_modelc_1(B,C) = A ) ) ) ) ) ) ) )).
fof(d22_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_modelc_2(A,B) <=> ? [C] : ( v7_ordinal1(C) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_xxreal_0(1,C) & k3_finseq_1(D) = C & k1_funct_1(D,1) = A & k1_funct_1(D,C) = B & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(C,E) & ! [F] : ( ( v1_modelc_2(F) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_modelc_2(G) & m2_finseq_1(G,k4_ordinal1) ) => ~ ( k1_funct_1(D,E) = F & k1_funct_1(D,k1_nat_1(E,1)) = G & r1_modelc_2(F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d22_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => k14_modelc_3(A,B) = k2_xboole_0(k4_subset_1(k1_modelc_3(A),u1_modelc_3(A,B),u2_modelc_3(A,B)),k48_modelc_2(k13_modelc_3(A,u3_modelc_3(A,B)))) ) ) )).
fof(d22_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( l4_algstr_0(B) => ( m1_monoid_0(B,A) <=> g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) = g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) ) ) ) )).
fof(d22_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => k15_msafree5(A,B,C,D) = k9_xtuple_0(k3_xboole_0(k10_xtuple_0(D),k2_zfmisc_1(k3_card_3(B),u1_struct_0(A)))) ) ) ) ) )).
fof(d22_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k17_msualg_2(A,B) = g3_lattices(k14_msualg_2(A,B),k15_msualg_2(A,B),k16_msualg_2(A,B)) ) ) )).
fof(d22_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_qmax_1(A) ) => ( v12_oposet_1(A) <=> ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),B,u1_robbins1(A)) & r2_oposet_1(A,B) ) ) ) )).
fof(d22_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v2_msualg_4(C,A,k8_osafree(A,B)) & m1_osalg_4(C,A,k8_osafree(A,B)) ) => ( C = k20_osafree(A,B) <=> ! [D] : ( r2_tarski(D,u1_struct_0(A)) => k1_funct_1(C,D) = a_3_2_osafree(A,B,D) ) ) ) ) ) )).
fof(d22_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v3_msualg_1(D,A) & v12_osalg_1(D,A) & l3_msualg_1(D,A) ) => ( D = k6_osalg_1(A,B,C) <=> ( r8_pboole(u1_struct_0(A),u3_msualg_1(A,D),k3_osalg_1(A,B)) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k5_msualg_1(A,E,D) = k8_funcop_1(B,k3_msualg_1(A,E,D),C) ) ) ) ) ) ) ) )).
fof(d22_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k16_osalg_4(A,B,C))) => ( D = k18_osalg_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,C)),E),k1_funct_1(u3_msualg_1(A,B),E),k6_osalg_4(A,B,C,E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k16_osalg_4(A,B,C)),D,E),k17_osalg_4(A,B,C,E)) ) ) ) ) ) ) )).
fof(d22_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( v13_pcs_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_pcs_0(A,B,D) & r1_orders_2(A,C,B) & r1_orders_2(A,E,D) ) => r1_pcs_0(A,C,E) ) ) ) ) ) ) ) )).
fof(d22_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k4_card_3(k12_pralg_1(A,B))))) => ( C = k4_pencil_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) & D = k4_card_3(E) & ? [F] : ( m1_subset_1(F,A) & m1_subset_1(k1_funct_1(E,F),u1_pre_topc(k1_pencil_1(A,B,F))) ) ) ) ) ) ) ) )).
fof(d22_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => k22_polyform(A,B) = k2_struct_0(k21_polyform(A,B)) ) ) )).
fof(d22_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k21_pscomp_1(A) = k19_euclid(k2_pscomp_1(k1_pre_topc(k15_euclid(2),k15_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k15_pscomp_1(A))),k7_pscomp_1(A)) ) )).
fof(d22_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_qc_lang1(B,A) => ! [C] : ( m1_subset_1(C,k6_qc_lang1(A)) => ( C = k16_qc_lang1(A,B) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( v3_card_1(E,D) & m2_finseq_1(E,k2_qc_lang1(A)) & ? [F] : ( m2_subset_1(F,k6_qc_lang1(A),k8_qc_lang1(A,D)) & C = F & B = k10_qc_lang1(A,F,E) ) ) ) ) ) ) ) ) )).
fof(d22_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( C = k15_qc_lang2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( m1_subset_1(E,k9_qc_lang1(A)) & E = D & r2_qc_lang2(A,E,B) ) ) ) ) ) )).
fof(d22_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_quantal1(A) ) => k4_quantal1(A) = k1_quantal1(A,k3_quantal1(A),k3_quantal1(A)) ) )).
fof(d22_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k27_quaterni(A) = k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)),k1_square_1(k13_quaterni(A))),k1_square_1(k14_quaterni(A))),k1_square_1(k15_quaterni(A)))) ) )).
fof(d22_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ( r1_quofield(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_mod_4(C,A,B) ) ) ) ) )).
fof(d22_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v7_rewrite1(A) <=> ! [B] : ! [C] : ( r6_rewrite1(A,B,C) => r5_rewrite1(A,B,C) ) ) ) )).
fof(d22_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v5_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k17_robbins1(A,B) = k5_robbins1(A,k5_robbins1(A,k3_robbins1(A,k5_robbins1(A,k13_robbins1(A,B),k15_robbins1(A,B))),B),k3_robbins1(A,k15_robbins1(A,B))) ) ) )).
fof(d22_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k10_scmyciel(A) <=> ( ? [C] : ( v1_finset_1(C) & v10_scmyciel(C,A) & m1_eqrel_1(C,k3_tarski(A)) & k4_card_1(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v10_scmyciel(C,A) & m1_eqrel_1(C,k3_tarski(A)) ) => r1_xxreal_0(B,k4_card_1(C)) ) ) ) ) ) )).
fof(d22_sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k22_sin_cos <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k4_series_1(k4_sin_cos(B)) ) ) ) )).
fof(d22_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_stacks_1(B) & v3_stacks_1(B) & v4_stacks_1(B) & v5_stacks_1(B) & v6_stacks_1(B) & l1_stacks_1(B) ) => ( r4_stacks_1(A,B) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & r3_stacks_1(A,B,C,D) ) ) ) ) ) )).
fof(d22_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) => ( v3_substut1(B,A) <=> ? [C] : ( m1_subset_1(C,k1_substut1(A)) & k19_substut1(A,k22_substut1(A,B)) = k1_funct_1(k15_substut1(A),k1_domain_1(k9_qc_lang1(A),k1_substut1(A),k15_qc_lang1(A,k23_substut1(A,B),k18_substut1(A,k22_substut1(A,B))),C)) ) ) ) ) )).
fof(d22_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => k20_turing_1(A,B) = k2_xboole_0(k2_zfmisc_1(u2_turing_1(A),k6_domain_1(u2_turing_1(B),u4_turing_1(B))),k2_zfmisc_1(k6_domain_1(u2_turing_1(A),u5_turing_1(A)),u2_turing_1(B))) ) ) )).
fof(d22_twoscomp,axiom,( ! [A] : ! [B] : k23_twoscomp(A,B) = k6_facirc_1(A,B,k8_twoscomp) )).
fof(d22_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v15_waybel_0(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_tarski(C,B) & r1_lattice3(A,B,C) ) ) ) ) )).
fof(d22_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_waybel_1(A,B) = k6_waybel_1(A,B,k3_yellow_0(A)) ) ) )).
fof(d22_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( r1_waybel_4(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r2_tarski(E,B) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,B) & r2_hidden(k4_tarski(D,F),C) & r2_hidden(k4_tarski(E,F),C) ) ) ) ) ) ) ) ) ) )).
fof(d22_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( v6_yellow_6(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(C,k5_yellow_6(A)) & ~ r2_hidden(k4_tarski(C,D),B) & ! [E] : ( m2_yellow_6(E,A,C) => ~ ( r2_tarski(E,k5_yellow_6(A)) & ! [F] : ( m2_yellow_6(F,A,E) => ~ r2_hidden(k4_tarski(F,D),B) ) ) ) ) ) ) ) ) ) )).
fof(d22_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v10_zf_lang(A) <=> ? [B] : ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k11_zf_lang(B,C) ) ) ) ) )).
fof(d22_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)))) ) => ( B = k11_zmodul01(A) <=> ! [C] : ( m1_subset_1(C,k8_zmodul01(A)) => ! [D] : ( m1_subset_1(D,k8_zmodul01(A)) => ! [E] : ( m1_zmodul01(E,A) => ! [F] : ( m1_zmodul01(F,A) => ( ( C = E & D = F ) => k4_binop_1(k8_zmodul01(A),B,C,D) = k7_zmodul01(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d22_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k20_zmodul02(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_zmodul01(A,k7_partfun1(u1_struct_0(A),B,E),k3_funct_2(u1_struct_0(A),k4_numbers,C,k7_partfun1(u1_struct_0(A),B,E))) ) ) ) ) ) ) ) ) )).
fof(d23_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => k10_abcmiz_0(A,B) = k3_funct_2(u1_abcmiz_0(A),u1_struct_0(A),u4_abcmiz_0(A),B) ) ) )).
fof(d23_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => k26_abcmiz_1(A) = k22_abcmiz_1(k24_abcmiz_1(A)) ) )).
fof(d23_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => ! [C] : ( m3_abcmiz_1(C,A) => ( r3_abcmiz_a(A,B,C) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & r1_tarski(k63_abcmiz_1(A,D,k41_abcmiz_1(A,C)),k41_abcmiz_1(A,B)) & k62_abcmiz_1(A,D,k42_abcmiz_1(A,C)) = k42_abcmiz_1(A,B) ) ) ) ) ) )).
fof(d23_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r13_absred_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_absred_0(A,B,D) & r2_absred_0(A,C,D) ) ) ) ) ) )).
fof(d23_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(256,k5_margrel1)) => k25_aescip_1(A,B,C,D) = k1_funct_1(k2_funct_1(k3_aescip_1),k16_aescip_1(A,B,8,k1_aescip_1(4,4,k4_finseq_2(128,k5_margrel1),k4_finseq_2(8,k5_margrel1),k3_aescip_1,C),k20_aescip_1(D))) ) ) ) ) )).
fof(d23_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( v19_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v16_algstr_0(B,A) ) ) ) )).
fof(d23_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( l4_aofa_a00(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m4_aofa_a00(F,A,B,C,D,E) => k16_aofa_a00(A,B,C,D,E,F) = k1_funct_1(k2_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),k13_msafree(A,B),u5_aofa_a00(A,B,C,D),E),F) ) ) ) ) ) ) )).
fof(d23_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => k12_aofa_l00(A,B,C,D) = k1_funct_1(k5_msualg_1(B,k10_subset_1(k1_funct_1(u7_aofa_a00(B),A),u4_struct_0(B)),C),k9_finseq_1(D)) ) ) ) ) )).
fof(d23_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => k11_armstrng(A,B) = a_2_6_armstrng(A,B) ) )).
fof(d23_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v16_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,C),D) = k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,D),D),k1_bcialg_1(A,C,D)) ) ) ) ) ) )).
fof(d23_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) ) => ( A = k23_binop_2 <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(A,B,C) = k2_xcmplx_0(B,C) ) ) ) ) )).
fof(d23_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k8_cat_1(A,B,C,D) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),k7_cat_1(A,B,C),D) ) ) ) ) )).
fof(d23_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k21_cat_4(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u7_cat_4(A),B,C) ) ) ) )).
fof(d23_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v14_cat_6(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ! [E] : ( m1_subset_1(E,k1_cat_6(A)) => ( r1_cat_6(A,D,E) => ( r1_cat_6(B,k10_cat_6(A,B,C,D),k10_cat_6(A,B,C,E)) & k10_cat_6(A,B,C,k2_cat_6(A,D,E)) = k2_cat_6(B,k10_cat_6(A,B,C,D),k10_cat_6(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(d23_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v16_cat_6(D,B,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v16_cat_6(E,C,A) => k9_cat_7(A,B,C,D,E) = k5_xtuple_0(o_5_1_cat_7(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(d23_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v15_closure2(B,A) & l1_closure2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_closure2(u1_struct_0(A),u3_msualg_1(A,B)),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) & v7_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & v8_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & v9_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A),u3_msualg_1(A,B)),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))))) ) => ( C = k12_closure2(A,B) <=> ! [D] : ( m1_closure2(D,u1_struct_0(A),u3_msualg_1(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) => r6_pboole(u1_struct_0(A),k7_closure2(u1_struct_0(A),u3_msualg_1(A,B),C,D),k11_closure2(A,B,D)) ) ) ) ) ) )).
fof(d23_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k16_coh_sp(A)) => k23_coh_sp(A,B) = k4_tarski(k4_tarski(B,B),k6_partfun1(k17_coh_sp(A,B))) ) )).
fof(d23_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => k15_cohsp_1(A,B) = a_2_0_cohsp_1(A,B) ) ) )).
fof(d23_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) ) => k7_compos_1(A,B,C) = k1_funct_4(k63_valued_1(B),k6_compos_1(A,C,k7_nat_d(k4_card_1(B),1))) ) ) ) )).
fof(d23_comput_1,axiom,( k15_comput_1 = k7_comput_1(k5_comput_1(1,1),k4_comput_1(3,3),2) )).
fof(d23_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_convex4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xcmplx_0(E) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( ! [F] : ( v1_xreal_0(F) => ~ ( E = F & ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(1,F) ) ) | r2_tarski(k1_algstr_0(A,k1_clvect_1(A,C,E),k1_clvect_1(A,D,k6_xcmplx_0(k6_complex1,E))),B) ) ) ) ) ) ) ) ) )).
fof(d23_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k18_decomp_1(A) = a_1_12_decomp_1(A) ) )).
fof(d23_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_cat_1(A,k4_graph_1(A,B),k3_graph_1(A,C)),k2_cat_1(A,k3_graph_1(A,B),k4_graph_1(A,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,k4_graph_1(A,B),k3_graph_1(A,C)),k2_cat_1(A,k3_graph_1(A,B),k4_graph_1(A,C))))) ) => ( D = k21_ens_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( r2_tarski(E,k2_cat_1(A,k4_graph_1(A,B),k3_graph_1(A,C))) => k1_funct_1(D,E) = k1_cat_1(A,B,k1_cat_1(A,E,C)) ) ) ) ) ) ) ) )).
fof(d23_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : k20_facirc_1(A,B,C) = k3_circcomb(k8_facirc_1(A,B,C,k1_facirc_1),k15_facirc_1(A,B,C),k13_facirc_1(A,B,C),k18_facirc_1(A,B,C)) )).
fof(d23_fomodel0,axiom,( ! [A] : ( v4_funct_1(A) => k21_fomodel0(A) = k3_tarski(a_1_3_fomodel0(A)) ) )).
fof(d23_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ( v11_fomodel1(A) <=> ( ~ v1_finset_1(k2_fomodel1(A)) & k1_funct_1(u1_fomodel1(A),k7_fomodel1(A)) = k4_xcmplx_0(2) ) ) ) )).
fof(d23_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) => ( C = k24_fomodel2(A,B) <=> ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(A,D)) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( B = F => C = k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k23_fomodel2(A,D,F,E)) ) ) ) ) ) ) ) ) )).
fof(d23_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r3_fomodel4(A,B,C) <=> ( v1_xboole_0(k1_xfamily(C)) & ? [D] : ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & k2_xfamily(C) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),D),D) ) ) ) ) ) )).
fof(d23_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => k12_fsm_1(A,B,C) = a_3_0_fsm_1(A,B,C) ) ) ) )).
fof(d23_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k23_ftacell1(A,B,C,D,E) = k45_gfacirc1(k48_gfacirc1(A,B,C),E,D) )).
fof(d23_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( v8_functor0(C,A,B) & v10_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v13_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(A,E,F) != k1_xboole_0 & ~ ! [G] : ( m1_subset_1(G,k1_altcat_1(A,D,E)) => ! [H] : ( m1_subset_1(H,k1_altcat_1(A,E,F)) => k6_functor0(A,B,C,D,F,k5_altcat_1(A,D,E,F,G,H)) = k5_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E),k3_functor0(A,B,C,F),k6_functor0(A,B,C,D,E,G),k6_functor0(A,B,C,E,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d23_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) ) => k23_gate_1(A,B,C,D,E,F) = k1_gate_1(k1_xboole_0) ) & ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & k23_gate_1(A,B,C,D,E,F) != k1_xboole_0 ) ) )).
fof(d23_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k23_gfacirc1(A,B,C) = k10_facirc_1(A,B,C,k4_gfacirc1) )).
fof(d23_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( m3_glib_001(D,A) => ( r1_glib_001(A,B,C,D) <=> ( k3_glib_001(A,D) = B & k4_glib_001(A,D) = C ) ) ) ) )).
fof(d23_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => k14_glib_003(A) = k9_xtuple_0(k7_glib_003(A)) ) )).
fof(d23_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k10_graph_1(A,B) = k1_nat_1(k8_graph_1(A,B),k9_graph_1(A,B)) ) ) )).
fof(d23_grcat_1,axiom,( ! [A] : ! [B] : ( r1_grcat_1(A,B) <=> ? [C] : ? [D] : ? [E] : ? [F] : ( A = k6_xtuple_0(C,D,E,F) & ? [G] : ( ~ v2_struct_0(G) & v8_algstr_0(G) & v13_algstr_0(G) & v3_rlvect_1(G) & v4_rlvect_1(G) & l2_algstr_0(G) & B = G & C = u1_struct_0(G) & D = u1_algstr_0(G) & E = k4_vectsp_1(G) & F = k4_struct_0(G) ) ) ) )).
fof(d23_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => k15_group_9(A,B,C) = u1_struct_0(C) ) ) )).
fof(d23_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( C = k16_hahnban1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),C,D) = k1_hahnban1(k3_funct_2(u1_struct_0(A),k1_numbers,k13_hahnban1(A,B),D),k1_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,k15_hahnban1(A,k13_hahnban1(A,B)),D))) ) ) ) ) ) )).
fof(d23_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k16_ideal_1(A,B,C) = a_3_5_ideal_1(A,B,C) ) ) ) )).
fof(d23_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_lattices(B) & l3_lattices(B) ) => ( B = k21_interva1(A) <=> ( u1_struct_0(B) = k18_interva1(A) & ! [C] : ( m1_subset_1(C,k18_interva1(A)) => ! [D] : ( m1_subset_1(D,k18_interva1(A)) => ! [E] : ( m2_interva1(E,A) => ! [F] : ( m2_interva1(F,A) => ( ( C = E & D = F ) => ( k1_binop_1(u2_lattices(B),C,D) = k16_interva1(A,E,F) & k1_binop_1(u1_lattices(B),C,D) = k17_interva1(A,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d23_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_intpro_1)) => ( B = k13_intpro_1(A) <=> ! [C] : ( m1_subset_1(C,k1_intpro_1) => ( r2_tarski(C,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_intpro_1)) => ( ( v10_intpro_1(D) & r1_tarski(A,D) ) => r2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d23_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( l3_lattices(B) => ( m1_lattad_1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u2_lattices(B) = k1_realset1(u2_lattices(A),u1_struct_0(B)) & u1_lattices(B) = k1_realset1(u1_lattices(A),u1_struct_0(B)) ) ) ) ) )).
fof(d23_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v19_lattices(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_lattices(A,C,D) & r2_tarski(C,B) ) => r2_tarski(D,B) ) ) ) ) ) ) )).
fof(d23_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) => ( ( r1_xxreal_0(k15_glib_000(A),k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B)))) => k22_lexbfs(A,B) = B ) & ( ~ r1_xxreal_0(k15_glib_000(A),k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B)))) => k22_lexbfs(A,B) = k21_lexbfs(A,B,k19_lexbfs(A,B),k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),B)))) ) ) ) ) )).
fof(d23_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k18_lmod_7(A,B,C,D) = k14_lmod_7(A,B,C,D) ) ) ) ) )).
fof(d23_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v4_ltlaxio1(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & A = k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(B)),k1_ltlaxio1(k2_ltlaxio1(B))) ) ) ) )).
fof(d23_margrel1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) => ( v4_margrel1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ( ( r2_tarski(C,k4_finseq_1(B)) & D = k1_funct_1(B,C) ) => v2_margrel1(D) ) ) ) ) ) )).
fof(d23_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k26_member_1(A,B) = k14_member_1(A,k1_tarski(B)) ) ) )).
fof(d23_membered,axiom,( ! [A] : ( v5_membered(A) => ! [B] : ( v5_membered(B) => ( r1_xboole_0(A,B) <=> ! [C] : ( v1_int_1(C) => ~ ( r2_hidden(C,A) & r2_hidden(C,B) ) ) ) ) ) )).
fof(d23_metric_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k13_metric_1(A,B,C) = a_3_6_metric_1(A,B,C) ) ) ) )).
fof(d23_mmlquery,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k25_mmlquery(A) <=> ( ! [C] : r1_xxreal_0(k24_mmlquery(A,C),B) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : r1_xxreal_0(k24_mmlquery(A,D),C) => r1_xxreal_0(B,C) ) ) ) ) ) ) )).
fof(d23_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v4_modelc_1(A) | v7_modelc_1(A) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v4_modelc_1(A) => ( B = k16_modelc_1(A) <=> ? [C] : ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) & k8_modelc_1(C,B) = A ) ) ) & ( ~ v4_modelc_1(A) => ( B = k16_modelc_1(A) <=> ? [C] : ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) & k11_modelc_1(C,B) = A ) ) ) ) ) ) ) )).
fof(d23_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r3_modelc_2(A,B) <=> ( r2_modelc_2(A,B) & A != B ) ) ) ) )).
fof(d23_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( l3_algstr_0(B) => ( m2_monoid_0(B,A) <=> r1_tarski(u2_algstr_0(B),u2_algstr_0(A)) ) ) ) )).
fof(d23_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),C))) => ( D = k21_osafree(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( r2_hidden(F,k1_funct_1(B,C)) & E = k1_trees_4(k4_tarski(F,C)) ) ) ) ) ) ) ) )).
fof(d23_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => k7_osalg_1(A) = k8_eqrel_1(u4_struct_0(A),u1_osalg_1(A)) ) )).
fof(d23_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) => k19_osalg_4(A,B,C,D) = k17_msualg_4(A,B,C,D) ) ) ) ) ) )).
fof(d23_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => k5_pencil_1(A,B) = g1_pre_topc(k4_card_3(k12_pralg_1(A,B)),k4_pencil_1(A,B)) ) ) )).
fof(d23_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k22_pscomp_1(A) = k19_euclid(k8_pscomp_1(A),k2_pscomp_1(k1_pre_topc(k15_euclid(2),k16_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k16_pscomp_1(A)))) ) )).
fof(d23_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_qc_lang1(B,A) => ! [C] : ( m2_finseq_1(C,k2_qc_lang1(A)) => ( C = k17_qc_lang1(A,B) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_subset_1(E,k6_qc_lang1(A),k8_qc_lang1(A,D)) & ? [F] : ( v3_card_1(F,D) & m2_finseq_1(F,k2_qc_lang1(A)) & C = F & B = k10_qc_lang1(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d23_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_quantal1(A,B) = k1_quantal1(A,B,k3_quantal1(A)) ) ) )).
fof(d23_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ( r2_quofield(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v7_mod_4(C,A,B) ) ) ) ) )).
fof(d23_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v8_rewrite1(A) <=> ! [B] : ! [C] : ( r2_rewrite1(A,B,C) => r5_rewrite1(A,B,C) ) ) ) )).
fof(d23_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A),k10_ringcat1(A)),k10_ringcat1(A)))) ) => ( B = k16_ringcat1(A) <=> ( ! [C] : ( m3_ringcat1(C,k10_ringcat1(A)) => ! [D] : ( m3_ringcat1(D,k10_ringcat1(A)) => ( r2_hidden(k4_tarski(C,D),k1_relset_1(k2_zfmisc_1(k10_ringcat1(A),k10_ringcat1(A)),B)) <=> k11_ringcat1(A,C) = k12_ringcat1(A,D) ) ) ) & ! [C] : ( m3_ringcat1(C,k10_ringcat1(A)) => ! [D] : ( m3_ringcat1(D,k10_ringcat1(A)) => ( r2_hidden(k4_tarski(C,D),k1_relset_1(k2_zfmisc_1(k10_ringcat1(A),k10_ringcat1(A)),B)) => k1_binop_1(B,C,D) = k6_ringcat1(C,D) ) ) ) ) ) ) ) )).
fof(d23_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_robbins1(A) ) => ( v10_robbins1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,C) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) ) )).
fof(d23_roughs_4,axiom,( ! [A] : ( l4_roughs_4(A) => ( v28_roughs_4(A) <=> ! [B] : ( r2_hidden(B,u1_pre_topc(A)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & k3_subset_1(u1_struct_0(A),C) = B & v20_roughs_4(C,A) ) ) ) ) )).
fof(d23_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => k23_sin_cos(A) = k1_funct_1(k22_sin_cos,A) ) )).
fof(d23_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) => ( v3_substut1(B,A) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => ( m1_substut1(C,A,B) <=> k19_substut1(A,k22_substut1(A,B)) = k1_funct_1(k15_substut1(A),k1_domain_1(k9_qc_lang1(A),k1_substut1(A),k15_qc_lang1(A,k23_substut1(A,B),k18_substut1(A,k22_substut1(A,B))),C)) ) ) ) ) ) )).
fof(d23_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) => k21_turing_1(A,B,C) = k4_domain_1(k2_zfmisc_1(u2_turing_1(A),u2_turing_1(B)),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k1_domain_1(u2_turing_1(A),u2_turing_1(B),k1_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),C),u4_turing_1(B)),k2_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),C),k3_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),C)) ) ) ) )).
fof(d23_twoscomp,axiom,( ! [A] : ! [B] : k24_twoscomp(A,B) = k4_tarski(k10_finseq_1(A,B),k8_twoscomp) )).
fof(d23_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => k7_waybel_0(A) = a_1_0_waybel_0(A) ) )).
fof(d23_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r6_waybel_1(A,B,C) <=> ( k10_lattice3(A,B,C) = k4_yellow_0(A) & k11_lattice3(A,B,C) = k3_yellow_0(A) ) ) ) ) ) )).
fof(d23_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_waybel_4(A,B,C) <=> ( r2_hidden(B,A) & ! [D] : ~ ( r2_tarski(D,A) & D != B & r2_hidden(k4_tarski(B,D),C) ) ) ) ) )).
fof(d23_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( v7_yellow_6(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) => ! [E] : ( m3_yellow_6(E,u1_struct_0(C),A) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => r2_hidden(k4_tarski(k6_yellow_6(u1_struct_0(C),A,E,F),k2_waybel_0(A,C,F)),B) ) => r2_hidden(k4_tarski(k7_yellow_6(A,C,E),D),B) ) ) ) ) ) ) ) ) )).
fof(d23_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v11_zf_lang(A) <=> ? [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) & ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k12_zf_lang(B,C) ) ) ) ) )).
fof(d23_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)))) ) => ( B = k12_zmodul01(A) <=> ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_xxreal_0(k5_numbers,C) => k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),B,C,D) = k1_binop_1(k3_binom(A),C,D) ) & ( ~ r1_xxreal_0(k5_numbers,C) => k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),B,C,D) = k1_binop_1(k3_binom(A),k4_xcmplx_0(C),k4_algstr_0(A,D)) ) ) ) ) ) ) ) )).
fof(d23_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k21_zmodul02(A,B) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(D) & k2_relset_1(u1_struct_0(A),D) = k18_zmodul02(A,B) & C = k4_rlvect_1(A,k20_zmodul02(A,D,B)) ) ) ) ) ) )).
fof(d24_abcmiz_1,axiom,( ! [A] : ( ( v1_msualg_1(A) & v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ( A = k27_abcmiz_1 <=> ( u4_struct_0(A) = k2_xboole_0(k2_tarski(k9_abcmiz_1,k10_abcmiz_1),k20_abcmiz_1) & ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v2_abcmiz_1(B,A) => ( k3_funct_2(u4_struct_0(A),u1_struct_0(A),u2_msualg_1(A),B) = k1_xfamily(B) & k4_card_1(k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),u1_msualg_1(A),B)) = k1_card_1(k1_xfamily(k2_xfamily(B))) ) ) ) ) ) ) )).
fof(d24_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( r4_abcmiz_a(A,B,C,D) <=> k56_abcmiz_1(A,D,B) = k56_abcmiz_1(A,D,C) ) ) ) ) ) )).
fof(d24_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v9_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r12_absred_0(A,B,C) => r13_absred_0(A,B,C) ) ) ) ) ) )).
fof(d24_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(128,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(256,k5_margrel1)) => k26_aescip_1(A,B,C,D) = k1_funct_1(k2_funct_1(k3_aescip_1),k17_aescip_1(A,B,8,k1_aescip_1(4,4,k4_finseq_2(128,k5_margrel1),k4_finseq_2(8,k5_margrel1),k3_aescip_1,C),k20_aescip_1(D))) ) ) ) ) )).
fof(d24_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( v20_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v17_algstr_0(B,A) ) ) ) )).
fof(d24_aofa_i00,axiom,( k26_aofa_i00 = k2_zfmisc_1(k9_funct_2(k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1),k9_funct_2(k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers)) )).
fof(d24_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => k13_aofa_l00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(B,k10_subset_1(k1_funct_1(u7_aofa_a00(B),k2_xcmplx_0(A,1)),u4_struct_0(B)),C),k10_finseq_1(D,E)) ) ) ) ) ) )).
fof(d24_armstrng,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ! [C] : ( ( v6_armstrng(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => ( C = k12_armstrng(A,B) <=> ( r1_relset_1(k9_setfam_1(A),k9_setfam_1(A),B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( r1_relset_1(k9_setfam_1(A),k9_setfam_1(A),B,D) & v6_armstrng(D,A) ) => r1_relset_1(k9_setfam_1(A),k9_setfam_1(A),C,D) ) ) ) ) ) ) ) )).
fof(d24_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v17_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),k1_bcialg_1(A,C,B)) = k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)) ) ) ) ) )).
fof(d24_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) ) => ( A = k24_binop_2 <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(A,B,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(d24_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k10_cat_1(A) = k6_partfun1(u4_struct_0(A)) ) )).
fof(d24_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k22_cat_4(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u8_cat_4(A),B,C) ) ) ) )).
fof(d24_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v16_cat_6(D,B,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v16_cat_6(E,C,A) => k10_cat_7(A,B,C,D,E) = k2_xtuple_0(o_5_1_cat_7(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(d24_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k20_coh_sp(A)) => ! [C] : ( m1_subset_1(C,k20_coh_sp(A)) => ( k22_coh_sp(A,B) = k21_coh_sp(A,C) => k24_coh_sp(A,B,C) = k4_tarski(k4_tarski(k21_coh_sp(A,B),k22_coh_sp(A,C)),k3_relat_1(k2_xfamily(B),k2_xfamily(C))) ) ) ) )).
fof(d24_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => k16_cohsp_1(A,B) = k2_xboole_0(a_1_1_cohsp_1(A),a_1_2_cohsp_1(B)) ) ) )).
fof(d24_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k10_compos_1(A,B) = k1_ordinal4(B,k4_compos_1(A)) ) ) )).
fof(d24_comput_1,axiom,( k16_comput_1 = k7_comput_1(k3_comput_1(1,k5_numbers),k14_comput_1(k15_comput_1),2) )).
fof(d24_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k19_decomp_1(A) = a_1_13_decomp_1(A) ) )).
fof(d24_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u4_struct_0(k6_cat_2(A,A)),k2_ens_1(k16_ens_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k6_cat_2(A,A)),k2_ens_1(k16_ens_1(A))))) ) => ( B = k22_ens_1(A) <=> ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k3_funct_2(u4_struct_0(k6_cat_2(A,A)),k2_ens_1(k16_ens_1(A)),B,k8_cat_2(A,A,C,D)) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)),k1_zfmisc_1(u4_struct_0(A))),k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,k4_graph_1(A,C),k3_graph_1(A,D)),k2_cat_1(A,k3_graph_1(A,C),k4_graph_1(A,D)))),k1_domain_1(k1_zfmisc_1(u4_struct_0(A)),k1_zfmisc_1(u4_struct_0(A)),k2_cat_1(A,k4_graph_1(A,C),k3_graph_1(A,D)),k2_cat_1(A,k3_graph_1(A,C),k4_graph_1(A,D))),k21_ens_1(A,C,D)) ) ) ) ) ) )).
fof(d24_fomodel0,axiom,( ! [A] : ( v4_funct_1(A) => k21_fomodel0(A) = k3_tarski(a_1_4_fomodel0(A)) ) )).
fof(d24_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => k19_fomodel1(A,B) = k1_funct_1(u1_fomodel1(A),B) ) ) )).
fof(d24_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v3_fomodel2(C,A,B) <=> r2_tarski(C,k24_fomodel2(A,B)) ) ) ) ) )).
fof(d24_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k34_fomodel3(A,B,C) = k1_funct_4(k3_fomodel2(k30_fomodel2(A)),k33_fomodel3(A,B,C)) ) ) ) )).
fof(d24_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r4_fomodel4(A,B,C) <=> ? [D] : ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [E] : ( v13_fomodel1(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [F] : ( v13_fomodel1(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & C = k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),D),E),k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),E),F)),k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),D),F)) ) ) ) ) ) ) )).
fof(d24_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => ! [E] : ( ( v2_fsm_1(E,A,B) & l2_fsm_1(E,A,B) ) => ( E = k13_fsm_1(A,B,C,D) <=> ( u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) & u1_fsm_1(A,E) = k1_funct_4(u1_fsm_1(A,C),u1_fsm_1(A,D)) & u3_fsm_1(A,B,E) = k1_funct_4(u3_fsm_1(A,B,C),u3_fsm_1(A,B,D)) & u2_fsm_1(A,E) = u2_fsm_1(A,C) ) ) ) ) ) ) )).
fof(d24_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k24_ftacell1(A,B,C,D,E) = k48_gfacirc1(k48_gfacirc1(A,B,C),E,D) )).
fof(d24_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( v8_functor0(C,A,B) & v11_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v14_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & k1_altcat_1(A,E,F) != k1_xboole_0 & ~ ! [G] : ( m1_subset_1(G,k1_altcat_1(A,D,E)) => ! [H] : ( m1_subset_1(H,k1_altcat_1(A,E,F)) => k8_functor0(A,B,C,D,F,k5_altcat_1(A,D,E,F,G,H)) = k5_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,C,E),k3_functor0(A,B,C,D),k8_functor0(A,B,C,E,F,H),k8_functor0(A,B,C,D,E,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d24_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) ) => k24_gate_1(A,B,C,D,E,F) = k1_gate_1(k1_xboole_0) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & k24_gate_1(A,B,C,D,E,F) != k1_xboole_0 ) ) )).
fof(d24_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k24_gfacirc1(A,B,C) = k9_facirc_1(A,B,C,k4_gfacirc1) )).
fof(d24_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k14_glib_000(A) = k1_card_1(k6_glib_000(A)) ) )).
fof(d24_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v1_glib_001(B,A) <=> k3_glib_001(A,B) = k4_glib_001(A,B) ) ) ) )).
fof(d24_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( r4_graph_1(A,B) <=> m3_graph_1(A,B) ) ) ) )).
fof(d24_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( B = k17_grcat_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_hidden(D,A) & r1_grcat_1(D,C) ) ) ) ) )).
fof(d24_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => k16_group_9(A,B,C,D) = k2_group_2(B,k15_group_9(A,B,C),k15_group_9(A,B,D)) ) ) ) )).
fof(d24_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k17_ideal_1(A,B) = a_2_1_ideal_1(A,B) ) ) )).
fof(d24_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => k22_interva1(A) = k4_tarski(k1_xboole_0,k1_xboole_0) ) )).
fof(d24_intpro_1,axiom,( k14_intpro_1 = k13_intpro_1(k1_subset_1(k1_intpro_1)) )).
fof(d24_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v20_lattices(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k4_lattices(A,C,D),B) ) ) ) ) ) ) )).
fof(d24_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v5_ltlaxio1(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k3_hilbert1(k2_ltlaxio1(k3_hilbert1(B,C)),k3_hilbert1(k2_ltlaxio1(B),k2_ltlaxio1(C))) ) ) ) ) )).
fof(d24_margrel1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) => ( v5_margrel1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ( ( r2_tarski(C,k4_finseq_1(B)) & D = k1_funct_1(B,C) ) => v3_margrel1(D,A) ) ) ) ) ) )).
fof(d24_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k27_member_1(A,B) = k15_member_1(A,k1_tarski(B)) ) ) )).
fof(d24_membered,axiom,( ! [A] : ( v6_membered(A) => ! [B] : ( v6_membered(B) => ( r1_xboole_0(A,B) <=> ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,A) & r2_tarski(C,B) ) ) ) ) ) )).
fof(d24_metric_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k14_metric_1(A,B,C) = k2_xboole_0(a_3_6_metric_1(A,B,C),k2_tarski(B,C)) ) ) ) )).
fof(d24_mmlquery,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => ! [C] : ( v7_ordinal1(C) => ( A != k1_xboole_0 => k26_mmlquery(A,B,C) = a_3_3_mmlquery(A,B,C) ) ) ) )).
fof(d24_modelc_1,axiom,( ! [A] : ( ( r2_hidden(A,k12_modelc_1) => k17_modelc_1(A) = A ) & ( ~ r2_hidden(A,k12_modelc_1) => k17_modelc_1(A) = k6_modelc_1(k5_numbers) ) ) )).
fof(d24_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( B = k13_modelc_2(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) & D = C & r2_modelc_2(D,A) ) ) ) ) )).
fof(d24_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k16_modelc_3(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(k1_funct_1(C,E),B) => k8_nat_1(k1_numbers,D,E) = k3_finseq_1(k14_modelc_2(k1_funct_1(C,E))) ) & ( ~ r2_tarski(k1_funct_1(C,E),B) => k8_nat_1(k1_numbers,D,E) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d24_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( l4_algstr_0(B) => ( m3_monoid_0(B,A) <=> ( r1_tarski(u2_algstr_0(B),u2_algstr_0(A)) & ! [C] : ( l4_algstr_0(C) => ( A = C => k5_struct_0(B) = k5_struct_0(C) ) ) ) ) ) ) )).
fof(d24_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,C)) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,B,k1_msafree3(A,D))) => ( v11_msafree5(F,A,B,C,D,E) <=> ? [G] : ( v7_ordinal1(G) & r2_tarski(G,k4_finseq_1(F)) & v8_msafree5(k1_funct_1(F,G),A,D,k1_msafree3(A,D),C,E) & m1_subset_1(k1_funct_1(F,G),k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) => ( ( r2_tarski(H,k4_finseq_1(F)) & I = k1_funct_1(F,H) ) => ( H = G | v9_msafree5(I,A,D,k1_msafree3(A,D),C,E) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d24_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B))) => ( C = k22_osafree(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k21_osafree(A,B,D) ) ) ) ) ) )).
fof(d24_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k8_osalg_1(A,B) = k6_eqrel_1(u4_struct_0(A),u4_struct_0(A),u1_osalg_1(A),B) ) ) )).
fof(d24_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)))) ) => ( F = k20_osalg_4(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => k1_funct_1(F,k8_osalg_4(A,B,k19_osalg_4(A,B,C,D),E,G)) = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),G) ) ) ) ) ) ) ) ) ) )).
fof(d24_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k23_pscomp_1(A) = k19_euclid(k8_pscomp_1(A),k1_pscomp_1(k1_pre_topc(k15_euclid(2),k16_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k16_pscomp_1(A)))) ) )).
fof(d24_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v3_qc_lang1(B,A) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( C = k18_qc_lang1(A,B) <=> B = k13_qc_lang1(A,C) ) ) ) ) ) )).
fof(d24_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k21_quofield(A,B,C) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C) ) ) ) ) )).
fof(d24_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( v9_rewrite1(A) <=> ! [B] : ! [C] : ! [D] : ( ( r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(B,D),A) ) => r5_rewrite1(A,C,D) ) ) ) )).
fof(d24_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k17_ringcat1(A) = g1_cat_1(k9_ringcat1(A),k10_ringcat1(k9_ringcat1(A)),k14_ringcat1(k9_ringcat1(A)),k15_ringcat1(k9_ringcat1(A)),k16_ringcat1(k9_ringcat1(A))) ) )).
fof(d24_roughs_4,axiom,( ! [A] : ( l5_roughs_4(A) => ( v29_roughs_4(A) <=> ! [B] : ( r2_hidden(B,u1_pre_topc(A)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = B & v22_roughs_4(C,A) ) ) ) ) )).
fof(d24_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v12_scmyciel(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k11_scmyciel(A) <=> ( ? [C] : ( v1_finset_1(C) & v9_scmyciel(C,A) & m1_subset_1(C,k1_zfmisc_1(k3_tarski(A))) & k4_card_1(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v9_scmyciel(C,A) & m1_subset_1(C,k1_zfmisc_1(k3_tarski(A))) ) => r1_xxreal_0(k4_card_1(C),B) ) ) ) ) ) )).
fof(d24_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( B = k24_sin_cos(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,B,C) = k7_xcmplx_0(k2_comseq_3(A,k1_nat_1(C,1)),k2_newton(k1_nat_1(C,2))) ) ) ) ) )).
fof(d24_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) => ! [C] : ( m1_substut1(C,A,B) => ( v3_substut1(B,A) => k24_substut1(A,B,C) = k1_domain_1(k9_qc_lang1(A),k1_substut1(A),k15_qc_lang1(A,k23_substut1(A,B),k18_substut1(A,k22_substut1(A,B))),C) ) ) ) ) )).
fof(d24_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u2_turing_1(B),u1_turing_1(B),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) => k22_turing_1(A,B,C) = k4_domain_1(k2_zfmisc_1(u2_turing_1(A),u2_turing_1(B)),u1_turing_1(B),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),k1_mcart_1(u2_turing_1(B),u1_turing_1(B),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),C)),k2_mcart_1(u2_turing_1(B),u1_turing_1(B),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),C),k3_mcart_1(u2_turing_1(B),u1_turing_1(B),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),C)) ) ) ) )).
fof(d24_twoscomp,axiom,( ! [A] : ! [B] : k25_twoscomp(A,B) = k5_circcomb(k2_twoscomp,k10_finseq_1(A,B)) )).
fof(d24_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => k8_waybel_0(A) = a_1_1_waybel_0(A) ) )).
fof(d24_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v10_waybel_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r6_waybel_1(A,B,C) ) ) ) ) )).
fof(d24_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_waybel_4(A,B,C) <=> r2_waybel_4(B,C,u1_orders_2(A)) ) ) ) )).
fof(d24_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ! [C] : ( ( v1_pre_topc(C) & l1_pre_topc(C) ) => ( C = k12_yellow_6(A,B) <=> ( u1_struct_0(C) = u1_struct_0(A) & u1_pre_topc(C) = a_2_1_yellow_6(A,B) ) ) ) ) ) )).
fof(d24_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => k13_zf_lang(A,B,C) = k7_zf_lang(A,k7_zf_lang(B,C)) ) ) ) )).
fof(d24_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_zmodul02(C,A) => ( r1_zmodul02(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k4_numbers,B,D) = k3_funct_2(u1_struct_0(A),k4_numbers,C,D) ) ) ) ) ) )).
fof(d25_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( B = k28_abcmiz_1(A) <=> ( k1_funct_1(B,k6_abcmiz_1) = k1_xboole_0 & k1_funct_1(B,k7_abcmiz_1) = k1_xboole_0 & k1_funct_1(B,k8_abcmiz_1) = k2_abcmiz_1 ) ) ) ) )).
fof(d25_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( r5_abcmiz_a(A,B,C) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & r4_abcmiz_a(A,B,C,D) ) ) ) ) ) )).
fof(d25_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v10_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r10_absred_0(A,B,C) => r11_absred_0(A,B,C) ) ) ) ) ) )).
fof(d25_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ( v11_aofa_000(A) <=> m1_freealg(k18_aofa_000(A),A) ) ) )).
fof(d25_aofa_i00,axiom,( ! [A] : ( m1_aofa_000(A,k7_freealg(k19_aofa_000,k26_aofa_i00),k9_funct_2(k4_ordinal1,k4_numbers),k1_aofa_i00(k9_funct_2(k4_ordinal1,k4_numbers),k5_numbers,k5_numbers)) => ( m4_aofa_i00(A) <=> ! [B] : ( m2_funct_2(B,k4_ordinal1,k4_numbers,k9_funct_2(k4_ordinal1,k4_numbers)) => ! [C] : ( m2_funct_2(C,k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1,k9_funct_2(k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1)) => ! [D] : ( m2_funct_2(D,k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers,k9_funct_2(k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers)) => k1_binop_1(A,B,k1_trees_4(k4_tarski(C,D))) = k14_funct_7(k4_ordinal1,k4_numbers,B,k21_aofa_i00(k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1,C,B),k21_aofa_i00(k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers,D,B)) ) ) ) ) ) )).
fof(d25_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => k14_aofa_l00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(B,k10_subset_1(k1_funct_1(u7_aofa_a00(B),k2_xcmplx_0(A,2)),u4_struct_0(B)),C),k10_finseq_1(D,E)) ) ) ) ) ) )).
fof(d25_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( r5_armstrng(A,B,C) <=> ( r1_tarski(B,C) & C = a_2_11_armstrng(A,B) ) ) ) )).
fof(d25_bilinear,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_vectsp_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ( v7_bilinear(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_binop_1(C,D,E) = k1_binop_1(C,E,D) ) ) ) ) ) ) )).
fof(d25_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v12_cat_1(C,A,B) <=> ( v2_funct_1(C) & k10_xtuple_0(C) = u4_struct_0(B) & k10_xtuple_0(k7_cat_1(A,B,C)) = u1_struct_0(B) ) ) ) ) ) )).
fof(d25_cat_4,axiom,( ! [A] : ! [B] : k23_cat_4(A,B) = g2_cat_4(k1_tarski(A),k1_tarski(B),k19_funcop_1(B,A),k19_funcop_1(B,A),k18_funcop_1(B,B,B),k1_algstr_1(A),k18_funcop_1(A,A,A),k18_funcop_1(A,A,B),k18_funcop_1(A,A,B)) )).
fof(d25_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v16_cat_6(C,A,B) <=> ( v13_cat_6(C,A,B) & v14_cat_6(C,A,B) ) ) ) ) ) )).
fof(d25_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k20_coh_sp(A),k16_coh_sp(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A),k16_coh_sp(A)))) ) => ( B = k25_coh_sp(A) <=> ! [C] : ( m1_subset_1(C,k20_coh_sp(A)) => k3_funct_2(k20_coh_sp(A),k16_coh_sp(A),B,C) = k21_coh_sp(A,C) ) ) ) )).
fof(d25_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => k17_cohsp_1(A,B) = k3_tarski(a_2_1_cohsp_1(A,B)) ) ) )).
fof(d25_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(A)) => k11_compos_1(A,B) = k10_compos_1(A,k9_compos_1(A,B)) ) ) )).
fof(d25_comput_1,axiom,( k17_comput_1 = k7_comput_1(k3_comput_1(k5_numbers,1),k3_relat_1(k5_funct_6(k10_finseq_1(k3_relat_1(k5_funct_6(k9_finseq_1(k5_comput_1(2,1))),k4_comput_1(1,1)),k5_comput_1(2,2))),k16_comput_1),1) )).
fof(d25_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k20_convex4(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ( v2_convex4(D,A) & r1_tarski(B,D) ) ) ) ) ) ) ) )).
fof(d25_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k20_decomp_1(A) = a_1_14_decomp_1(A) ) )).
fof(d25_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r1_tarski(k16_ens_1(B),A) => k23_ens_1(A,B,C) = k19_ens_1(B,C) ) ) ) ) )).
fof(d25_fomodel0,axiom,( ! [A] : k22_fomodel0(A) = A )).
fof(d25_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k20_fomodel1(A) = k11_monoid_0(k15_fomodel1(A)) ) )).
fof(d25_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v4_fomodel2(B,A) <=> ? [C] : ( v7_ordinal1(C) & v3_fomodel2(B,A,C) ) ) ) ) )).
fof(d25_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k37_fomodel3(A,B,C,D) = k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,k36_fomodel3(A,B,C)),k29_fomodel2(A,D)),D) ) ) ) ) )).
fof(d25_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r5_fomodel4(A,B,C) <=> ? [D] : ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [E] : ( v13_fomodel1(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & k1_xfamily(C) = k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),D),E)) & k2_xfamily(C) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),E),D) ) ) ) ) ) )).
fof(d25_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ( m2_functor0(C,A,B) <=> ( v8_functor0(C,A,B) & v12_functor0(C,A,B) & ( ( v10_functor0(C,A,B) & v13_functor0(C,A,B) ) | ( v11_functor0(C,A,B) & v14_functor0(C,A,B) ) ) ) ) ) ) ) )).
fof(d25_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & k25_gate_1(A,B,C,D,E,F) != k1_gate_1(k1_xboole_0) ) & ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) ) => k25_gate_1(A,B,C,D,E,F) = k1_xboole_0 ) ) )).
fof(d25_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k25_gfacirc1(A,B,C) = k2_circcomb(k22_gfacirc1(A,B,C),k19_gfacirc1(A,B,C)) )).
fof(d25_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k16_glib_000(A) = k1_card_1(k7_glib_000(A)) ) )).
fof(d25_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v2_glib_001(B,A) <=> ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => k1_funct_1(k10_glib_000(A),k1_funct_1(B,k1_nat_1(C,1))) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(d25_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( B = k11_graph_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_graph_1(C) & m3_graph_1(C,A) ) ) ) ) )).
fof(d25_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_grcat_1(B) ) => ( B = k18_grcat_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( v8_algstr_0(D) & m2_grcat_1(D,A) & ? [E] : ( v8_algstr_0(E) & m2_grcat_1(E,A) & v1_grcat_1(C) & m1_grcat_1(C,D,E) ) ) ) ) ) ) )).
fof(d25_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ! [E] : ( ( v2_group_9(E,A) & m1_group_9(E,A,B) ) => ( E = k17_group_9(A,B,C,D) <=> u1_struct_0(E) = k9_subset_1(u1_struct_0(B),k15_group_9(A,B,C),k15_group_9(A,B,D)) ) ) ) ) ) )).
fof(d25_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v5_ideal_1(B,A) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k7_ideal_1(A,C) ) ) ) ) )).
fof(d25_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => k23_interva1(A) = k4_tarski(k2_struct_0(A),k2_struct_0(A)) ) )).
fof(d25_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v21_lattices(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k3_lattices(A,C,D),B) ) ) ) ) ) ) )).
fof(d25_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_lexbfs(B,A) => ! [C] : ( m1_lexbfs(C,A) => ( C = k25_lexbfs(A,B) <=> ! [D] : ( v7_ordinal1(D) => r2_relset_1(k6_glib_000(A),k4_ordinal1,k5_lexbfs(A,C,D),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,B,D))) ) ) ) ) ) )).
fof(d25_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v6_ltlaxio1(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & A = k3_hilbert1(k6_ltlaxio1(B),k4_ltlaxio1(B,k2_ltlaxio1(k6_ltlaxio1(B)))) ) ) ) )).
fof(d25_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_margrel1(A) ) => ! [B] : ( v7_ordinal1(B) => ( ( ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & r2_tarski(C,k9_xtuple_0(A)) ) => ( B = k17_margrel1(A) <=> ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(C,k9_xtuple_0(A)) => B = k3_finseq_1(C) ) ) ) ) & ( ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ r2_tarski(C,k9_xtuple_0(A)) ) => ( B = k17_margrel1(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d25_mmlquery,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( A != k1_xboole_0 => k27_mmlquery(A,B,C,D) = a_4_14_mmlquery(A,B,C,D) ) ) ) ) )).
fof(d25_modelc_1,axiom,( k18_modelc_1 = a_0_0_modelc_1 )).
fof(d25_modelc_2,axiom,( ! [A] : ( ( r2_hidden(A,k9_modelc_2) => k14_modelc_2(A) = A ) & ( ~ r2_hidden(A,k9_modelc_2) => k14_modelc_2(A) = k2_modelc_2(k5_numbers) ) ) )).
fof(d25_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => k17_modelc_3(A,B,C) = k6_series_1(k16_modelc_3(A,B,C),k3_finseq_1(C)) ) ) ) )).
fof(d25_monoid_0,axiom,( ! [A] : ( l4_algstr_0(A) => ! [B] : ( l4_algstr_0(B) => ( m3_monoid_0(B,A) <=> ( r1_tarski(u2_algstr_0(B),u2_algstr_0(A)) & k5_struct_0(B) = k5_struct_0(A) ) ) ) ) )).
fof(d25_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,k16_osafree(A,B)),C))) => ( D = k23_osafree(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( r2_hidden(F,k1_funct_1(B,C)) & E = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k16_osalg_4(A,k8_osafree(A,B),k15_osafree(A,B))),k18_osalg_4(A,k8_osafree(A,B),k15_osafree(A,B)),C),k1_trees_4(k4_tarski(F,C))) ) ) ) ) ) ) ) )).
fof(d25_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),u3_msualg_1(A,C)) => ( E = k21_osalg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r2_funct_2(k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),F),k1_funct_1(u3_msualg_1(A,C),F),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),u3_msualg_1(A,C),E,F),k20_osalg_4(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(d25_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k24_pscomp_1(A) = k19_euclid(k2_pscomp_1(k1_pre_topc(k15_euclid(2),k17_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k17_pscomp_1(A))),k9_pscomp_1(A)) ) )).
fof(d25_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v4_qc_lang1(B,A) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( C = k19_qc_lang1(A,B) <=> ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k14_qc_lang1(A,C,D) ) ) ) ) ) ) )).
fof(d25_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k19_quofield(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k19_quofield(A))))) ) => ( B = k22_quofield(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k19_quofield(A)),B,C) = k10_quofield(A,k21_quofield(A,C,k5_struct_0(A))) ) ) ) ) )).
fof(d25_roughs_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = k1_roughs_4(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) & E = D & v1_roughs_4(E,B) ) ) ) ) ) )).
fof(d25_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => k12_scmyciel(A) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k1_xboole_0),a_1_4_scmyciel(A)),k1_scmyciel(A)),a_1_5_scmyciel(A)),a_1_6_scmyciel(A)) ) )).
fof(d25_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)))) => k25_turing_1(A,B,C) = k23_turing_1(A,B,k2_domain_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),C)) ) ) ) )).
fof(d25_twoscomp,axiom,( ! [A] : ! [B] : k26_twoscomp(A,B) = k6_facirc_1(A,B,k2_twoscomp) )).
fof(d25_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r4_waybel_4(A,B,C) <=> ( r2_hidden(B,A) & ! [D] : ~ ( r2_tarski(D,A) & D != B & r2_hidden(k4_tarski(D,B),C) ) ) ) ) )).
fof(d25_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( v8_yellow_6(B,A) <=> ( v4_yellow_6(B,A) & v5_yellow_6(B,A) & v6_yellow_6(B,A) & v7_yellow_6(B,A) ) ) ) ) )).
fof(d25_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => k14_zf_lang(A,B,C) = k12_zf_lang(A,k12_zf_lang(B,C)) ) ) ) )).
fof(d25_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_zmodul02(C,A) => ! [D] : ( m1_zmodul02(D,A) => ( D = k22_zmodul02(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k4_numbers,D,E) = k2_xcmplx_0(k3_funct_2(u1_struct_0(A),k4_numbers,B,E),k3_funct_2(u1_struct_0(A),k4_numbers,C,E)) ) ) ) ) ) ) )).
fof(d26_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v4_abcmiz_1(C,A,B) <=> k3_card_3(k2_msafree3(A,C)) = k1_xboole_0 ) ) ) ) )).
fof(d26_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( r6_abcmiz_a(A,B,C) <=> ? [D] : ( v1_funct_1(D) & v2_funct_1(D) & v15_abcmiz_1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & r1_tarski(k45_abcmiz_1(A,C),k1_relset_1(k2_abcmiz_1,D)) & r5_abcmiz_a(A,B,k56_abcmiz_1(A,D,C)) ) ) ) ) ) )).
fof(d26_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v11_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r7_absred_0(A,B,C) => r11_absred_0(A,B,C) ) ) ) ) ) )).
fof(d26_algstr_0,axiom,( k8_algstr_0 = g4_algstr_0(k1_tarski(k5_ordinal1),k9_funct_5,k5_funct_5) )).
fof(d26_aofa_000,axiom,( k19_aofa_000 = k8_finseq_1(k4_ordinal1,k2_finseq_4(k4_ordinal1,k5_numbers,2),k2_finseq_4(k4_ordinal1,3,2)) )).
fof(d26_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => k15_aofa_l00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(B,k10_subset_1(k1_funct_1(u7_aofa_a00(B),k2_xcmplx_0(A,3)),u4_struct_0(B)),C),k10_finseq_1(D,E)) ) ) ) ) ) )).
fof(d26_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => k13_armstrng(A,B) = a_2_12_armstrng(A,B) ) )).
fof(d26_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)) = C ) ) ) ) )).
fof(d26_bilinear,axiom,( ! [A] : ( l2_struct_0(A) => ! [B] : ( l1_vectsp_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ( v8_bilinear(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_binop_1(C,D,D) = k4_struct_0(A) ) ) ) ) ) )).
fof(d26_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v13_cat_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k2_cat_1(B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E)) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E)) => ( k2_cat_1(A,D,E) != k1_xboole_0 & ? [G] : ( m1_cat_1(G,A,D,E) & F = k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d26_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l2_cat_4(A) ) => ( v6_cat_4(A) <=> ( v11_cat_1(u5_cat_4(A),A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_graph_1(A,k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u7_cat_4(A),B,C)) = B & k3_graph_1(A,k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u8_cat_4(A),B,C)) = C & r4_cat_3(A,k4_binop_1(u1_struct_0(A),u6_cat_4(A),B,C),k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u7_cat_4(A),B,C),k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u8_cat_4(A),B,C)) ) ) ) ) ) ) )).
fof(d26_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k20_coh_sp(A),k16_coh_sp(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A),k16_coh_sp(A)))) ) => ( B = k26_coh_sp(A) <=> ! [C] : ( m1_subset_1(C,k20_coh_sp(A)) => k3_funct_2(k20_coh_sp(A),k16_coh_sp(A),B,C) = k22_coh_sp(A,C) ) ) ) )).
fof(d26_comput_1,axiom,( k18_comput_1 = k7_comput_1(k3_comput_1(1,1),k14_comput_1(k16_comput_1),2) )).
fof(d26_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k21_convex4(A,B) = k6_setfam_1(u1_struct_0(A),k20_convex4(A,B)) ) ) )).
fof(d26_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k7_decomp_1(A)) ) ) ) ) ) ) )).
fof(d26_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r1_tarski(k16_ens_1(B),A) => k24_ens_1(A,B,C) = k20_ens_1(B,C) ) ) ) ) )).
fof(d26_fomodel0,axiom,( ! [A] : k23_fomodel0(A) = k2_zfmisc_1(k4_ordinal1,k6_domain_1(k7_subset_1(k1_zfmisc_1(k10_xtuple_0(A)),k9_setfam_1(k10_xtuple_0(A)),k10_xtuple_0(A)),o_1_5_fomodel0(A))) )).
fof(d26_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k21_fomodel1(A) = k9_fomodel0(k15_fomodel1(A)) ) )).
fof(d26_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ( E = k25_fomodel2(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( v3_fomodel2(D,A,F) => E = k1_funct_1(k23_fomodel2(A,B,F,C),D) ) ) ) ) ) ) ) ) )).
fof(d26_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r6_fomodel4(A,B,C) <=> ? [D] : ( v5_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) & ? [E] : ( v3_card_1(E,k1_int_2(k19_fomodel1(B,D))) & m2_subset_1(E,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & ? [F] : ( v3_card_1(F,k1_int_2(k19_fomodel1(B,D))) & m2_subset_1(F,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & v6_fomodel1(D,B) & k1_xfamily(C) = a_4_0_fomodel4(B,D,E,F) & k2_xfamily(C) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),k1_fomodel3(B,D,E)),k1_fomodel3(B,D,F)) ) ) ) ) ) ) )).
fof(d26_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( v15_functor0(C,A,B) <=> ( v10_functor0(C,A,B) & v13_functor0(C,A,B) ) ) ) ) ) )).
fof(d26_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & k26_gate_1(A,B,C,D,E,F,G) != k1_gate_1(k1_xboole_0) ) & ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) ) => k26_gate_1(A,B,C,D,E,F,G) = k1_xboole_0 ) ) )).
fof(d26_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k26_gfacirc1(A,B,C) = k3_circcomb(k22_gfacirc1(A,B,C),k19_gfacirc1(A,B,C),k23_gfacirc1(A,B,C),k20_gfacirc1(A,B,C)) )).
fof(d26_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k7_glib_000(A))) => ( C = k18_glib_000(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k7_glib_000(A)) & r2_tarski(k1_funct_1(k11_glib_000(A),D),B) ) ) ) ) ) )).
fof(d26_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) <=> k15_glib_001(A,B) = k5_numbers ) ) ) )).
fof(d26_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ! [B] : ( m2_grcat_1(B,A) => k21_grcat_1(A,B) = k11_grcat_1(B) ) ) )).
fof(d26_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( ( v2_group_9(D,A) & m1_group_9(D,A,B) ) => ( D = k18_group_9(A,B,C) <=> ( r1_tarski(C,u1_struct_0(D)) & ! [E] : ( ( v2_group_9(E,A) & m1_group_9(E,A,B) ) => ( r1_tarski(C,u1_struct_0(E)) => m1_group_9(D,A,E) ) ) ) ) ) ) ) )).
fof(d26_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v6_ideal_1(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v5_ideal_1(B,A) ) ) ) )).
fof(d26_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( v7_lattad_1(B,A) & v8_lattad_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v3_lattices(C) & m1_lattad_1(C,A) ) => ( C = k17_lattad_1(A,B) <=> u1_struct_0(C) = B ) ) ) ) )).
fof(d26_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_lexbfs(B,A) => ( B = k26_lexbfs(A) <=> ( k23_lexbfs(A,B,k5_numbers) = k18_lexbfs(A) & ! [C] : ( v7_ordinal1(C) => k23_lexbfs(A,B,k1_nat_1(C,1)) = k22_lexbfs(A,k23_lexbfs(A,B,C)) ) ) ) ) ) )).
fof(d26_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v7_ltlaxio1(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k3_hilbert1(k4_hilbert1(B,C),k5_ltlaxio1(k2_ltlaxio1(C),k2_ltlaxio1(k4_ltlaxio1(B,k4_hilbert1(B,C))))) ) ) ) ) )).
fof(d26_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ( r1_modelc_1(A,B,C) <=> ! [D] : ( ( v1_modelc_1(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ( v2_modelc_1(D) => k1_funct_1(C,D) = k1_funct_1(B,D) ) & ( v3_modelc_1(D) => k1_funct_1(C,D) = k1_funct_1(u1_robbins1(A),k1_funct_1(C,k14_modelc_1(D))) ) & ( v4_modelc_1(D) => k1_funct_1(C,D) = k1_binop_1(u1_lattices(A),k1_funct_1(C,k15_modelc_1(D)),k1_funct_1(C,k16_modelc_1(D))) ) & ( v5_modelc_1(D) => k1_funct_1(C,D) = k1_funct_1(u4_modelc_1(A),k1_funct_1(C,k14_modelc_1(D))) ) & ( v6_modelc_1(D) => k1_funct_1(C,D) = k1_funct_1(u5_modelc_1(A),k1_funct_1(C,k14_modelc_1(D))) ) & ( v7_modelc_1(D) => k1_funct_1(C,D) = k1_binop_1(u6_modelc_1(A),k1_funct_1(C,k15_modelc_1(D)),k1_funct_1(C,k16_modelc_1(D))) ) ) ) ) ) ) ) )).
fof(d26_modelc_2,axiom,( k15_modelc_2 = a_0_0_modelc_2 )).
fof(d26_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ! [C] : ( v1_xreal_0(C) => ( C = k18_modelc_3(A,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k10_xtuple_0(D) = k1_modelc_3(A) & v2_funct_1(D) & C = k17_modelc_3(A,B,D) ) ) ) ) ) )).
fof(d26_monoid_0,axiom,( k2_monoid_0 = g3_algstr_0(k1_numbers,k9_binop_2) )).
fof(d26_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,C)) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,B,k1_msafree3(A,D))) => ( v11_msafree5(F,A,B,C,D,E) => ! [G] : ( v7_ordinal1(G) => ( G = k16_msafree5(A,B,C,D,E,F) <=> ( v8_msafree5(k1_funct_1(F,G),A,D,k1_msafree3(A,D),C,E) & m1_subset_1(k1_funct_1(F,G),k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) ) ) ) ) ) ) ) ) ) )).
fof(d26_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_osafree(C,A,k16_osafree(A,B)) => ( C = k24_osafree(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k23_osafree(A,B,D) ) ) ) ) ) )).
fof(d26_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( v3_osalg_4(C,A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( r6_osalg_1(A,D,E) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,D,B)) => ! [G] : ( m1_subset_1(G,k3_msualg_1(A,E,B)) => ( ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k9_xtuple_0(F)) => r2_hidden(k4_tarski(k1_funct_1(F,H),k1_funct_1(G,H)),k2_msualg_4(A,B,C,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),H))) ) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,D,B),k4_msualg_1(A,D,B),k5_msualg_1(A,D,B),F),k3_funct_2(k3_msualg_1(A,E,B),k4_msualg_1(A,E,B),k5_msualg_1(A,E,B),G)),k2_msualg_4(A,B,C,k2_msualg_1(A,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(d26_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( B = k25_polyform(A) <=> ( k3_finseq_1(B) = k2_xcmplx_0(k4_polyform(A),2) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k2_xcmplx_0(k4_polyform(A),2)) ) => k1_funct_1(B,C) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),C),k8_polyform(A,k6_xcmplx_0(C,2))) ) ) ) ) ) ) )).
fof(d26_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k25_pscomp_1(A) = k19_euclid(k1_pscomp_1(k1_pre_topc(k15_euclid(2),k17_pscomp_1(A)),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k17_pscomp_1(A))),k9_pscomp_1(A)) ) )).
fof(d26_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v4_qc_lang1(B,A) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( C = k20_qc_lang1(A,B) <=> ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k14_qc_lang1(A,D,C) ) ) ) ) ) ) )).
fof(d26_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r3_quofield(A,B,C) <=> ( v3_mod_4(C,A,B) & ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & l6_algstr_0(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(D)))) ) => ~ ( v3_mod_4(E,A,D) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ~ ( v1_ringcat1(F,B,D) & r2_funct_2(u1_struct_0(A),u1_struct_0(D),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(D),C,F),E) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( ( v1_ringcat1(G,B,D) & r2_funct_2(u1_struct_0(A),u1_struct_0(D),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(D),C,G),E) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(D),G,F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d26_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r12_rewrite1(A,B) <=> ! [C] : ! [D] : ( r2_rewrite1(A,C,D) <=> r2_rewrite1(B,C,D) ) ) ) ) )).
fof(d26_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( B = k13_scmyciel(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & B = C & k1_funct_1(C,k5_numbers) = A & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v4_scmyciel(E) => ( E = k1_funct_1(C,D) => k1_funct_1(C,k1_nat_1(D,1)) = k12_scmyciel(E) ) ) ) ) ) ) ) )).
fof(d26_sin_cos,axiom,( k26_sin_cos = k3_rfunct_1(k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos) )).
fof(d26_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v5_substut1(B,A) <=> ? [C] : ( m1_subset_1(C,k16_substut1(A)) & B = k20_substut1(A,C) ) ) ) ) )).
fof(d26_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)))) => k26_turing_1(A,B,C) = k24_turing_1(A,B,k2_domain_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),C)) ) ) ) )).
fof(d26_twoscomp,axiom,( ! [A] : ! [B] : k27_twoscomp(A,B) = k4_tarski(k10_finseq_1(A,B),k2_twoscomp) )).
fof(d26_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r5_waybel_4(A,B,C) <=> r4_waybel_4(B,C,u1_orders_2(A)) ) ) ) )).
fof(d26_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => k15_zf_lang(A,B,C,D) = k7_zf_lang(A,k13_zf_lang(B,C,D)) ) ) ) ) )).
fof(d26_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_zmodul02(D,A) => ( D = k23_zmodul02(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k4_numbers,D,E) = k3_xcmplx_0(C,k3_funct_2(u1_struct_0(A),k4_numbers,B,E)) ) ) ) ) ) ) )).
fof(d27_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ( r4_abcmiz_0(A,B,C) <=> ( r1_orders_2(A,B,k10_abcmiz_0(A,C)) & r1_abcmiz_0(A,B,C) ) ) ) ) ) )).
fof(d27_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v5_abcmiz_1(C,A,B) <=> r2_tarski(k1_funct_1(C,k1_xboole_0),k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))) ) ) ) ) )).
fof(d27_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( r7_abcmiz_a(A,B,C,D) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & r4_abcmiz_a(A,C,D,E) & B = k56_abcmiz_1(A,E,C) ) ) ) ) ) ) )).
fof(d27_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v12_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r12_absred_0(A,B,C) => r11_absred_0(A,B,C) ) ) ) ) ) )).
fof(d27_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v23_algstr_0(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) )).
fof(d27_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v12_aofa_000(A) <=> k1_unialg_1(A) = k19_aofa_000 ) ) )).
fof(d27_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree4(D,A,C) & l3_msualg_1(D,A) ) => ! [E] : ( l4_aofa_a00(E,A,B,C) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & l3_aofa_a00(F,A,C,u4_aofa_a00(A,B,C,E)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,D),G)) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(k9_funct_2(k2_zfmisc_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) => ( J = k19_aofa_a00(A,B,C,D,E,F,G,H,I) <=> ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k2_zfmisc_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) ) => ( r2_tarski(K,J) <=> ( m1_aofa_000(K,F,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),G,H,I)) & ! [L] : ( m2_subset_1(L,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( m1_msafree4(N,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),M)) => ! [O] : ( m4_aofa_a00(O,A,B,C,E,M) => ( O = N => ! [P] : ( m1_subset_1(P,k1_funct_1(u3_msualg_1(A,C),M)) => r8_pboole(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),K,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,M,N,P)),k18_aofa_a00(A,B,C,D,E,L,M,k14_aofa_a00(A,B,C,D,M,P,L),O)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d27_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => k16_aofa_l00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(B,k10_subset_1(k1_funct_1(u7_aofa_a00(B),k2_xcmplx_0(A,4)),u4_struct_0(B)),C),k10_finseq_1(D,E)) ) ) ) ) ) )).
fof(d27_armstrng,axiom,( ! [A] : ( v11_armstrng(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) & r1_tarski(B,C) ) => B = C ) ) )).
fof(d27_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v14_cat_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k2_cat_1(A,D,E) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,A,D,E) => ! [G] : ( m1_cat_1(G,A,D,E) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,F) = k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,G) => F = G ) ) ) ) ) ) ) ) ) ) )).
fof(d27_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v10_cat_6(C) & l1_cat_6(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ~ ( ( v16_cat_6(D,A,B) | v17_cat_6(D,A,B) ) & ( v16_cat_6(E,B,C) | v17_cat_6(E,B,C) ) & k12_cat_6(A,B,C,D,E) != k4_relset_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E) ) ) ) ) ) ) )).
fof(d27_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A),k20_coh_sp(A)),k20_coh_sp(A)))) ) => ( B = k27_coh_sp(A) <=> ( ! [C] : ( m1_subset_1(C,k20_coh_sp(A)) => ! [D] : ( m1_subset_1(D,k20_coh_sp(A)) => ( r2_hidden(k4_tarski(C,D),k1_relset_1(k2_zfmisc_1(k20_coh_sp(A),k20_coh_sp(A)),B)) <=> k21_coh_sp(A,C) = k22_coh_sp(A,D) ) ) ) & ! [C] : ( m1_subset_1(C,k20_coh_sp(A)) => ! [D] : ( m1_subset_1(D,k20_coh_sp(A)) => ( k21_coh_sp(A,C) = k22_coh_sp(A,D) => k1_funct_1(B,k4_tarski(C,D)) = k24_coh_sp(A,D,C) ) ) ) ) ) ) )).
fof(d27_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) ) => ( v2_compos_1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k9_xtuple_0(B)) & k1_funct_1(B,C) = k2_compos_1(A) ) ) ) ) ) )).
fof(d27_comput_1,axiom,( k19_comput_1 = k7_comput_1(k3_comput_1(k5_numbers,k5_numbers),k5_comput_1(2,1),1) )).
fof(d27_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v6_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k8_decomp_1(A)) ) ) ) ) ) ) )).
fof(d27_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r1_tarski(k16_ens_1(B),A) => k25_ens_1(A,B) = k22_ens_1(B) ) ) ) )).
fof(d27_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k24_fomodel0(A,B) = k5_relat_1(B,A) ) )).
fof(d27_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k22_fomodel1(A) = k7_fomodel0(k15_fomodel1(A)) ) )).
fof(d27_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k26_fomodel2(A) = a_1_0_fomodel2(A) ) )).
fof(d27_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r7_fomodel4(A,B,C) <=> ? [D] : ( v7_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) & ? [E] : ( v3_card_1(E,k1_int_2(k19_fomodel1(B,D))) & m2_subset_1(E,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & ? [F] : ( v3_card_1(F,k1_int_2(k19_fomodel1(B,D))) & m2_subset_1(F,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & k1_xfamily(C) = k2_xboole_0(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k1_fomodel3(B,D,E)),a_4_1_fomodel4(B,D,E,F)) & k2_xfamily(C) = k1_fomodel3(B,D,F) ) ) ) ) ) ) )).
fof(d27_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ( v16_functor0(C,A,B) <=> ( v11_functor0(C,A,B) & v14_functor0(C,A,B) ) ) ) ) ) )).
fof(d27_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) ) => k27_gate_1(A,B,C,D,E,F,G) = k1_gate_1(k1_xboole_0) ) & ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) & k27_gate_1(A,B,C,D,E,F,G) != k1_xboole_0 ) ) )).
fof(d27_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k7_glib_000(A))) => ( C = k19_glib_000(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k7_glib_000(A)) & r2_tarski(k1_funct_1(k10_glib_000(A),D),B) ) ) ) ) ) )).
fof(d27_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v4_glib_001(B,A) <=> v2_funct_1(k12_glib_001(A,B)) ) ) ) )).
fof(d27_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_grcat_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A),A))) ) => ( B = k22_grcat_1(A) <=> ! [C] : ( m3_grcat_1(C,k18_grcat_1(A)) => k3_funct_2(k18_grcat_1(A),A,B,C) = k19_grcat_1(A,C) ) ) ) ) )).
fof(d27_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => k19_group_9(A,B,C,D) = k18_group_9(A,B,k4_subset_1(u1_struct_0(B),k15_group_9(A,B,C),k15_group_9(A,B,D))) ) ) ) )).
fof(d27_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v7_ideal_1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B = k7_ideal_1(A,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(d27_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v8_ltlaxio1(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(C),k2_ltlaxio1(k4_ltlaxio1(B,k4_hilbert1(B,C)))),k4_hilbert1(B,C)) ) ) ) ) )).
fof(d27_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k29_mmlquery(A,B,C) = C ) ) )).
fof(d27_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ! [D] : ( v7_ordinal1(D) => ( r2_modelc_1(A,B,C,D) <=> ! [E] : ( ( v1_modelc_1(E) & m2_finseq_1(E,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(E),D) => ( ( v2_modelc_1(E) => k1_funct_1(C,E) = k1_funct_1(B,E) ) & ( v3_modelc_1(E) => k1_funct_1(C,E) = k1_funct_1(u1_robbins1(A),k1_funct_1(C,k14_modelc_1(E))) ) & ( v4_modelc_1(E) => k1_funct_1(C,E) = k1_binop_1(u1_lattices(A),k1_funct_1(C,k15_modelc_1(E)),k1_funct_1(C,k16_modelc_1(E))) ) & ( v5_modelc_1(E) => k1_funct_1(C,E) = k1_funct_1(u4_modelc_1(A),k1_funct_1(C,k14_modelc_1(E))) ) & ( v6_modelc_1(E) => k1_funct_1(C,E) = k1_funct_1(u5_modelc_1(A),k1_funct_1(C,k14_modelc_1(E))) ) & ( v7_modelc_1(E) => k1_funct_1(C,E) = k1_binop_1(u6_modelc_1(A),k1_funct_1(C,k15_modelc_1(E)),k1_funct_1(C,k16_modelc_1(E))) ) ) ) ) ) ) ) ) ) )).
fof(d27_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ( r4_modelc_2(A,B,C) <=> ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ( v2_modelc_2(D) => k1_funct_1(C,D) = k1_funct_1(B,D) ) & ( v3_modelc_2(D) => k1_funct_1(C,D) = k1_funct_1(u1_robbins1(A),k1_funct_1(C,k10_modelc_2(D))) ) & ( v4_modelc_2(D) => k1_funct_1(C,D) = k1_binop_1(u1_lattices(A),k1_funct_1(C,k11_modelc_2(D)),k1_funct_1(C,k12_modelc_2(D))) ) & ( v5_modelc_2(D) => k1_funct_1(C,D) = k1_binop_1(u2_lattices(A),k1_funct_1(C,k11_modelc_2(D)),k1_funct_1(C,k12_modelc_2(D))) ) & ( v6_modelc_2(D) => k1_funct_1(C,D) = k1_funct_1(u2_modelc_2(A),k1_funct_1(C,k10_modelc_2(D))) ) & ( v7_modelc_2(D) => k1_funct_1(C,D) = k1_binop_1(u3_modelc_2(A),k1_funct_1(C,k11_modelc_2(D)),k1_funct_1(C,k12_modelc_2(D))) ) & ( v8_modelc_2(D) => k1_funct_1(C,D) = k1_binop_1(u4_modelc_2(A),k1_funct_1(C,k11_modelc_2(D)),k1_funct_1(C,k12_modelc_2(D))) ) ) ) ) ) ) ) )).
fof(d27_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_tarski(B,k1_modelc_3(A)) => k19_modelc_3(A,B) = k2_modelc_3(B) ) ) ) )).
fof(d27_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v17_monoid_0(A) & m5_monoid_0(A,k2_monoid_0,k3_monoid_0) ) => ( A = k4_monoid_0 <=> u1_struct_0(A) = k4_ordinal1 ) ) )).
fof(d27_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,C)) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,B,k1_msafree3(A,D))) => ( v11_msafree5(F,A,B,C,D,E) => ! [G] : ( ( v8_msafree5(G,A,D,k1_msafree3(A,D),C,E) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( G = k17_msafree5(A,B,C,D,E,F) <=> r2_tarski(G,k10_xtuple_0(F)) ) ) ) ) ) ) ) ) ) )).
fof(d27_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v2_msualg_4(C,A,k8_osafree(A,B)) & v3_msualg_4(C,A,k8_osafree(A,B)) & m1_osalg_4(C,A,k8_osafree(A,B)) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [E] : ( m1_subset_1(E,k6_osalg_4(A,k8_osafree(A,B),C,k10_osafree(A,B,D))) => ( E = k25_osafree(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),F)) => ( D = G => E = k8_osalg_4(A,k8_osafree(A,B),C,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d27_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_osalg_4(E,A,B) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) & r2_pboole(u1_struct_0(A),E,k19_osalg_4(A,B,C,D)) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,E)),F),k1_funct_1(u3_msualg_1(A,C),F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,E)),F),k1_funct_1(u3_msualg_1(A,C),F)))) ) => ( G = k22_osalg_4(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,B),F)) => k1_funct_1(G,k8_osalg_4(A,B,E,F,H)) = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,C),F),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,F),H) ) ) ) ) ) ) ) ) ) ) )).
fof(d27_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( B = k26_polyform(A) <=> ( k3_finseq_1(B) = k4_polyform(A) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k4_polyform(A)) ) => k1_funct_1(B,C) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k2_xcmplx_0(C,1)),k8_polyform(A,k6_xcmplx_0(C,1))) ) ) ) ) ) ) )).
fof(d27_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v5_qc_lang1(B,A) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( C = k21_qc_lang1(A,B) <=> ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k15_qc_lang1(A,C,D) ) ) ) ) ) ) )).
fof(d27_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k9_quantal1(A,B,C) = k5_quantal1(A,k6_algstr_0(A,k5_quantal1(A,B),k5_quantal1(A,C))) ) ) ) )).
fof(d27_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r13_rewrite1(A,B,C) <=> ( r8_rewrite1(A,B,C) & ~ r5_rewrite1(A,B,C) ) ) ) )).
fof(d27_sin_cos,axiom,( k27_sin_cos = k3_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos,k16_sin_cos) )).
fof(d27_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v6_substut1(B,A) <=> ? [C] : ( m1_subset_1(C,k16_substut1(A)) & ? [D] : ( m1_subset_1(D,k16_substut1(A)) & B = k21_substut1(A,C,D) & k19_substut1(A,C) = k19_substut1(A,D) ) ) ) ) ) )).
fof(d27_turing_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,k2_xboole_0(B,C))) => ( ? [E] : ? [F] : ( m1_subset_1(F,B) & D = k4_tarski(E,F) ) => k27_turing_1(A,B,C,D) = k3_domain_1(A,k2_xboole_0(B,C),D) ) ) ) ) ) )).
fof(d27_twoscomp,axiom,( ! [A] : ! [B] : k28_twoscomp(A,B) = k2_circcomb(k22_twoscomp(A,B),k25_twoscomp(A,B)) )).
fof(d27_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k11_waybel_0(A,B) = a_2_2_waybel_0(A,B) ) ) )).
fof(d27_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => k16_zf_lang(A,B,C,D) = k12_zf_lang(A,k14_zf_lang(B,C,D)) ) ) ) ) )).
fof(d27_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => k24_zmodul02(A,B) = k23_zmodul02(A,B,k4_xcmplx_0(1)) ) ) )).
fof(d28_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_abcmiz_0(A)) => ( r5_abcmiz_0(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_abcmiz_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(D,k4_finseq_1(C)) & E = k1_funct_1(C,D) & F = k1_funct_1(k7_abcmiz_0(A,B,C),D) ) => r4_abcmiz_0(A,F,E) ) ) ) ) ) ) ) ) )).
fof(d28_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( m1_abcmiz_1(C,A,B) <=> r2_tarski(C,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))),B)) ) ) ) ) )).
fof(d28_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ( v13_aofa_000(C,A,B) <=> ! [D] : ( m1_subset_1(D,B) => k2_binop_1(B,u1_struct_0(A),B,C,D,k12_aofa_000(A)) = D ) ) ) ) ) )).
fof(d28_aofa_a00,axiom,( ! [A] : ( l5_aofa_a00(A) => ( v13_aofa_a00(A) <=> v2_funct_1(u7_aofa_a00(A)) ) ) )).
fof(d28_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,k1_card_1(A)) & v2_funct_2(C,k1_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) => ( r1_tarski(k2_relset_1(k1_card_1(A),C),k4_ordinal1) => ! [D] : ( m1_aofa_000(D,k7_freealg(k19_aofa_000,k26_aofa_i00),k9_funct_2(A,k4_numbers),B) => ( m6_aofa_i00(D,A,B,C) <=> ! [E] : ( m2_funct_2(E,A,k4_numbers,k9_funct_2(A,k4_numbers)) => ! [F] : ( m2_funct_2(F,k9_funct_2(A,k4_numbers),A,k9_funct_2(k9_funct_2(A,k4_numbers),A)) => ! [G] : ( m2_funct_2(G,k9_funct_2(A,k4_numbers),k4_numbers,k9_funct_2(k9_funct_2(A,k4_numbers),k4_numbers)) => k1_binop_1(D,E,k1_trees_4(k4_tarski(k17_aofa_i00(k4_ordinal1,k1_partfun1(k9_funct_2(A,k4_numbers),A,A,k1_card_1(A),F,C),C),k17_aofa_i00(k4_ordinal1,G,C)))) = k14_funct_7(A,k4_numbers,E,k21_aofa_i00(k9_funct_2(A,k4_numbers),A,F,E),k21_aofa_i00(k9_funct_2(A,k4_numbers),k4_numbers,G,E)) ) ) ) ) ) ) ) ) ) )).
fof(d28_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) ) => ! [G] : ( ( v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => k17_aofa_l00(A,B,C,D,E,F,G,H,I) = k1_funct_1(k5_msualg_1(E,k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B,C,D),E),1,I),u4_struct_0(E)),G),k12_finseq_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E)),H)) ) ) ) ) ) ) ) ) ) )).
fof(d28_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v12_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( ( r2_tarski(k6_armstrng(A,C,D),B) & r2_tarski(k6_armstrng(A,C,E),B) ) => r2_tarski(k6_armstrng(A,C,k4_subset_1(A,D,E)),B) ) ) ) ) ) ) )).
fof(d28_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k11_cat_1(A,B,C,D,E) = k2_partfun1(u4_struct_0(A),u4_struct_0(B),C,k2_cat_1(A,D,E)) ) ) ) ) ) )).
fof(d28_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_1(E,A,B,D) => ! [F] : ( m1_cat_1(F,A,C,D) => ~ ( k2_cat_1(A,B,D) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & ~ ! [G] : ( m1_cat_1(G,A,k20_cat_4(A,B,C),D) => ( G = k29_cat_4(A,B,C,D,E,F) <=> ( k5_cat_1(A,B,k20_cat_4(A,B,C),D,k27_cat_4(A,B,C),G) = E & k5_cat_1(A,C,k20_cat_4(A,B,C),D,k28_cat_4(A,B,C),G) = F ) ) ) ) ) ) ) ) ) ) )).
fof(d28_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ( r2_cat_6(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v16_cat_6(C,A,B) & v16_cat_6(D,B,A) & r2_relset_1(u1_struct_0(A),u1_struct_0(A),k12_cat_6(A,B,A,C,D),k13_cat_6(A)) & r2_relset_1(u1_struct_0(B),u1_struct_0(B),k12_cat_6(B,A,B,D,C),k13_cat_6(B)) ) ) ) ) ) )).
fof(d28_comput_1,axiom,( k20_comput_1 = k7_comput_1(k5_comput_1(1,1),k14_comput_1(k3_relat_1(k5_funct_6(k9_finseq_1(k5_comput_1(2,2))),k19_comput_1)),2) )).
fof(d28_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k6_decomp_1(A)) ) ) ) ) ) ) )).
fof(d28_fomodel0,axiom,( ! [A] : ! [B] : k25_fomodel0(A,B) = k3_xboole_0(B,k2_zfmisc_1(A,k10_xtuple_0(B))) )).
fof(d28_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) => ( C = k24_fomodel2(A,B) <=> ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(A,D)) => C = k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k23_fomodel2(A,D,B,E)) ) ) ) ) ) ) )).
fof(d28_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r8_fomodel4(A,B,C) <=> ? [D] : ( v4_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) & ? [E] : ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [F] : ( v13_fomodel1(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & k1_xfamily(C) = k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k37_fomodel3(B,D,F,E)) & k2_xfamily(C) = k42_fomodel1(B,k43_fomodel1(B,D),E) ) ) ) ) ) ) )).
fof(d28_functor0,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( m1_altcat_2(B,A) => ! [C] : ( ( v9_functor0(C,B,A) & l2_functor0(C,B,A) ) => ( C = k10_functor0(A,B) <=> ( u1_functor0(B,A,C) = k6_partfun1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & r6_pboole(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u2_functor0(B,A,C),k2_msualg_3(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_altcat_1(B))) ) ) ) ) ) )).
fof(d28_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) ) => k28_gate_1(A,B,C,D,E,F,G) = k1_gate_1(k1_xboole_0) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & k28_gate_1(A,B,C,D,E,F,G) != k1_xboole_0 ) ) )).
fof(d28_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : k20_glib_000(A,B) = k4_subset_1(k7_glib_000(A),k18_glib_000(A,B),k19_glib_000(A,B)) ) )).
fof(d28_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v5_glib_001(B,A) <=> ( v4_glib_001(B,A) & ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => ( r1_xxreal_0(D,C) | ( C = 1 & D = k3_finseq_1(B) ) ) ) ) ) ) ) ) ) )).
fof(d28_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_grcat_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A),A))) ) => ( B = k23_grcat_1(A) <=> ! [C] : ( m3_grcat_1(C,k18_grcat_1(A)) => k3_funct_2(k18_grcat_1(A),A,B,C) = k20_grcat_1(A,C) ) ) ) ) )).
fof(d28_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m2_finseq_1(C,k6_group_9(A,B)) => ( v8_group_9(C,A,B) <=> ( k1_funct_1(C,1) = k5_group_9(A,B) & k1_funct_1(C,k3_finseq_1(C)) = k4_group_9(A,B) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(C)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) ) => ! [E] : ( m1_group_9(E,A,B) => ! [F] : ( m1_group_9(F,A,B) => ( ( E = k1_funct_1(C,D) & F = k1_funct_1(C,k1_nat_1(D,1)) ) => ( v4_group_9(F,A,E) & m1_group_9(F,A,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d28_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v8_ideal_1(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v7_ideal_1(B,A) ) ) ) )).
fof(d28_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v9_ltlaxio1(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k3_hilbert1(k4_hilbert1(B,C),k2_ltlaxio1(k7_ltlaxio1(C))) ) ) ) ) )).
fof(d28_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k30_mmlquery(A,B) = k1_mmlquery(u1_struct_0(A),k29_mmlquery(u1_struct_0(A),u1_mmlquery(A),u2_mmlquery(A)),B) ) ) )).
fof(d28_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_modelc_1(F) & m2_finseq_1(F,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(k3_finseq_1(F),k1_nat_1(E,1)) => k19_modelc_1(A,B,C,D,E,F) = k1_funct_1(C,F) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v2_modelc_1(F) ) => k19_modelc_1(A,B,C,D,E,F) = k1_funct_1(B,F) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v3_modelc_1(F) ) => k19_modelc_1(A,B,C,D,E,F) = k1_funct_1(u1_robbins1(A),k1_funct_1(D,k14_modelc_1(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v4_modelc_1(F) ) => k19_modelc_1(A,B,C,D,E,F) = k1_binop_1(u1_lattices(A),k1_funct_1(D,k15_modelc_1(F)),k1_funct_1(D,k16_modelc_1(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v5_modelc_1(F) ) => k19_modelc_1(A,B,C,D,E,F) = k1_funct_1(u4_modelc_1(A),k1_funct_1(D,k14_modelc_1(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v6_modelc_1(F) ) => k19_modelc_1(A,B,C,D,E,F) = k1_funct_1(u5_modelc_1(A),k1_funct_1(D,k14_modelc_1(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v7_modelc_1(F) ) => k19_modelc_1(A,B,C,D,E,F) = k1_binop_1(u6_modelc_1(A),k1_funct_1(D,k15_modelc_1(F)),k1_funct_1(D,k16_modelc_1(F))) ) & ( ~ r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(F)) => k19_modelc_1(A,B,C,D,E,F) = k1_funct_1(D,F) ) & ( ( r1_xxreal_0(k3_finseq_1(F),k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(F)) ) => ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v2_modelc_1(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v3_modelc_1(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v4_modelc_1(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v5_modelc_1(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v6_modelc_1(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v7_modelc_1(F) ) | k19_modelc_1(A,B,C,D,E,F) = k1_xboole_0 ) ) ) ) ) ) ) ) ) )).
fof(d28_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ! [D] : ( v7_ordinal1(D) => ( r5_modelc_2(A,B,C,D) <=> ! [E] : ( ( v1_modelc_2(E) & m2_finseq_1(E,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(E),D) => ( ( v2_modelc_2(E) => k1_funct_1(C,E) = k1_funct_1(B,E) ) & ( v3_modelc_2(E) => k1_funct_1(C,E) = k1_funct_1(u1_robbins1(A),k1_funct_1(C,k10_modelc_2(E))) ) & ( v4_modelc_2(E) => k1_funct_1(C,E) = k1_binop_1(u1_lattices(A),k1_funct_1(C,k11_modelc_2(E)),k1_funct_1(C,k12_modelc_2(E))) ) & ( v5_modelc_2(E) => k1_funct_1(C,E) = k1_binop_1(u2_lattices(A),k1_funct_1(C,k11_modelc_2(E)),k1_funct_1(C,k12_modelc_2(E))) ) & ( v6_modelc_2(E) => k1_funct_1(C,E) = k1_funct_1(u2_modelc_2(A),k1_funct_1(C,k10_modelc_2(E))) ) & ( v7_modelc_2(E) => k1_funct_1(C,E) = k1_binop_1(u3_modelc_2(A),k1_funct_1(C,k11_modelc_2(E)),k1_funct_1(C,k12_modelc_2(E))) ) & ( v8_modelc_2(E) => k1_funct_1(C,E) = k1_binop_1(u4_modelc_2(A),k1_funct_1(C,k11_modelc_2(E)),k1_funct_1(C,k12_modelc_2(E))) ) ) ) ) ) ) ) ) ) )).
fof(d28_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_tarski(B,k1_modelc_3(A)) => k20_modelc_3(A,B) = k3_modelc_3(B) ) ) ) )).
fof(d28_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) => ! [E] : ( ( v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( k3_msafree5(A,k1_msafree3(A,B),F) = C => k18_msafree5(A,B,C,D,E,F) = k9_trees_4(E,F,k1_domain_1(k1_msafree4(u1_struct_0(A),B,C),u1_struct_0(A),D,C)) ) ) ) ) ) ) ) )).
fof(d28_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),k22_osafree(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(E,k6_dtconstr(k2_osafree(A,B))) => ! [F] : ( m1_subset_1(F,k3_card_3(C)) => ( F = k26_osafree(A,B,C,D,E) <=> ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = k1_funct_1(D,k2_xtuple_0(E)) => F = k1_funct_1(G,k2_trees_4(u1_struct_0(k2_osafree(A,B)),E)) ) ) ) ) ) ) ) ) ) ) )).
fof(d28_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_osalg_4(E,A,B) ) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,k16_osalg_4(A,B,E)),u3_msualg_1(A,C)) => ( F = k23_osalg_4(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => r2_funct_2(k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,E)),G),k1_funct_1(u3_msualg_1(A,C),G),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k16_osalg_4(A,B,E)),u3_msualg_1(A,C),F,G),k22_osalg_4(A,B,C,D,E,G)) ) ) ) ) ) ) ) ) )).
fof(d28_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( B = k27_polyform(A) <=> ( k3_finseq_1(B) = k2_xcmplx_0(k4_polyform(A),1) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k2_xcmplx_0(k4_polyform(A),1)) ) => k1_funct_1(B,C) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k2_xcmplx_0(C,1)),k8_polyform(A,k6_xcmplx_0(C,1))) ) ) ) ) ) ) )).
fof(d28_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v5_qc_lang1(B,A) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( C = k22_qc_lang1(A,B) <=> ? [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) & B = k15_qc_lang1(A,D,C) ) ) ) ) ) ) )).
fof(d28_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( ( v1_relat_1(B) & v10_rewrite1(B) ) => ( m2_rewrite1(B,A) <=> ! [C] : ! [D] : ( r2_rewrite1(A,C,D) <=> r5_rewrite1(B,C,D) ) ) ) ) )).
fof(d28_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( A = k28_sin_cos <=> ( k1_funct_1(k26_sin_cos,k7_xcmplx_0(A,4)) = 1 & r2_hidden(A,k2_rcomp_1(k5_numbers,4)) ) ) ) )).
fof(d28_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v7_substut1(B,A) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) & ? [D] : ( m1_substut1(D,A,C) & B = k24_substut1(A,C,D) & v3_substut1(C,A) ) ) ) ) ) )).
fof(d28_turing_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,k2_xboole_0(B,C))) => ( ? [E] : ? [F] : ( m1_subset_1(F,C) & D = k4_tarski(E,F) ) => k28_turing_1(A,B,C,D) = k3_domain_1(A,k2_xboole_0(B,C),D) ) ) ) ) ) )).
fof(d28_twoscomp,axiom,( ! [A] : ! [B] : k29_twoscomp(A,B) = k3_circcomb(k22_twoscomp(A,B),k25_twoscomp(A,B),k23_twoscomp(A,B),k26_twoscomp(A,B)) )).
fof(d28_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k12_waybel_0(A,B) = a_2_3_waybel_0(A,B) ) ) )).
fof(d28_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_zf_lang(A) => k17_zf_lang(A) = k1_funct_1(A,2) ) ) )).
fof(d28_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_zmodul02(C,A) => k25_zmodul02(A,B,C) = k22_zmodul02(A,B,k24_zmodul02(A,C)) ) ) ) )).
fof(d29_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_abcmiz_0(A))) => ( r6_abcmiz_0(A,B,C) <=> ? [D] : ( m2_finseq_1(D,u1_abcmiz_0(A)) & k2_relset_1(u1_abcmiz_0(A),D) = C & r5_abcmiz_0(A,B,D) ) ) ) ) ) )).
fof(d29_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v2_abcmiz_1(B,A) & m1_subset_1(B,u4_struct_0(A)) ) => ( k3_finseq_1(k1_msualg_1(A,B)) = k5_numbers => k29_abcmiz_1(A,B) = k4_trees_4(k4_tarski(B,u1_struct_0(A)),k1_xboole_0) ) ) ) )).
fof(d29_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_unialg_1(A) ) => ( v15_absred_0(A) <=> ( r1_tarski(k2_finseq_1(3),k4_finseq_1(u1_unialg_1(A))) & ! [B] : ( ( ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) => ( ( B = k1_funct_1(u1_unialg_1(A),1) => k18_margrel1(B) = k5_ordinal1 ) & ( B = k1_funct_1(u1_unialg_1(A),2) => k18_margrel1(B) = 1 ) & ( B = k1_funct_1(u1_unialg_1(A),3) => k18_margrel1(B) = 2 ) ) ) ) ) ) )).
fof(d29_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ( v14_aofa_000(C,A,B) <=> ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k2_binop_1(B,u1_struct_0(A),B,C,D,k13_aofa_000(A,E,F)) = k2_binop_1(B,u1_struct_0(A),B,C,k2_binop_1(B,u1_struct_0(A),B,C,D,E),F) ) ) ) ) ) ) ) )).
fof(d29_aofa_a00,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l5_aofa_a00(B) => ( v14_aofa_a00(B,A) <=> k3_finseq_1(u7_aofa_a00(B)) = A ) ) ) )).
fof(d29_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m3_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => ! [G] : ( m3_aofa_i00(G,A,B,C,D) => ( G = k35_aofa_i00(A,B,C,D,E,F) <=> ! [H] : ( m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) => k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,G,H) = k4_int_1(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,E,H),k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(d29_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) ) => ! [G] : ( ( v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => k18_aofa_l00(A,B,C,D,E,F,G,H,I) = k1_funct_1(k5_msualg_1(E,k10_subset_1(k1_binop_1(u3_aofa_l00(k4_aofa_l00(B,C,D),E),2,I),u4_struct_0(E)),G),k12_finseq_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E)),H)) ) ) ) ) ) ) ) ) ) )).
fof(d29_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v13_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( ( r2_tarski(k6_armstrng(A,C,D),B) & r2_tarski(k6_armstrng(A,k4_subset_1(A,D,E),F),B) ) => r2_tarski(k6_armstrng(A,k4_subset_1(A,C,E),F),B) ) ) ) ) ) ) ) )).
fof(d29_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k30_cat_4(A,B) = k29_cat_4(A,B,B,B,k4_cat_1(A,B),k4_cat_1(A,B)) ) ) )).
fof(d29_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => k14_cat_6(A) = u1_cat_6(A) ) )).
fof(d29_coh_sp,axiom,( ! [A] : k28_coh_sp(A) = g1_cat_1(k16_coh_sp(A),k20_coh_sp(A),k25_coh_sp(A),k26_coh_sp(A),k27_coh_sp(A)) )).
fof(d29_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v8_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k10_decomp_1(A)) ) ) ) ) ) ) )).
fof(d29_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k26_fomodel0(A,B) = k2_xboole_0(k6_subset_1(A,k2_zfmisc_1(k9_xtuple_0(B),k10_xtuple_0(A))),B) ) ) )).
fof(d29_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : k23_fomodel1(A,B,C) = a_3_0_fomodel1(A,B,C) ) ) )).
fof(d29_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v7_ordinal1(B) => k27_fomodel2(A,B) = a_2_1_fomodel2(A,B) ) ) )).
fof(d29_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r9_fomodel4(A,B,C) <=> ? [D] : ( v4_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) & ? [E] : ( v4_fomodel1(E,B) & m1_subset_1(E,k1_fomodel1(B)) & ? [F] : ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k1_xfamily(C) = k2_xboole_0(F,k1_tarski(k7_finseq_1(k43_fomodel1(B,D),G))) & ~ v7_fomodel2(E,k2_xboole_0(k2_xboole_0(F,k1_tarski(G)),k1_tarski(k2_xfamily(C))),B) & r2_hidden(k4_tarski(k2_xboole_0(F,k1_tarski(k1_funct_1(k20_fomodel0(k1_fomodel1(B),D,E),G))),k2_xfamily(C)),A) ) ) ) ) ) ) )).
fof(d29_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( ( v9_functor0(B,A,A) & l2_functor0(B,A,A) ) => ( B = k11_functor0(A) <=> ( r8_binop_1(u1_struct_0(A),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_functor0(A,A,B),k6_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & r6_pboole(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u2_functor0(A,A,B),k2_msualg_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(A))) ) ) ) ) )).
fof(d29_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) & k29_gate_1(A,B,C,D,E,F,G) != k1_gate_1(k1_xboole_0) ) & ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) ) => k29_gate_1(A,B,C,D,E,F,G) = k1_xboole_0 ) ) )).
fof(d29_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k29_gfacirc1(A,B,C) = k2_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k3_gfacirc1,k10_finseq_1(B,C))),k5_circcomb(k6_twoscomp,k10_finseq_1(C,A))) )).
fof(d29_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : k21_glib_000(A,B) = k9_subset_1(k7_glib_000(A),k18_glib_000(A,B),k19_glib_000(A,B)) ) )).
fof(d29_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v6_glib_001(B,A) <=> ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => C = D ) ) ) ) ) ) )).
fof(d29_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A),k18_grcat_1(A)),k18_grcat_1(A)))) ) => ( B = k24_grcat_1(A) <=> ( ! [C] : ( m3_grcat_1(C,k18_grcat_1(A)) => ! [D] : ( m3_grcat_1(D,k18_grcat_1(A)) => ( r2_hidden(k4_tarski(C,D),k9_xtuple_0(B)) <=> k19_grcat_1(A,C) = k20_grcat_1(A,D) ) ) ) & ! [C] : ( m3_grcat_1(C,k18_grcat_1(A)) => ! [D] : ( m3_grcat_1(D,k18_grcat_1(A)) => ( r2_hidden(k4_tarski(C,D),k9_xtuple_0(B)) => k1_binop_1(B,C,D) = k13_grcat_1(C,D) ) ) ) ) ) ) ) )).
fof(d29_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ( r4_group_9(A,B,C,D) <=> ? [E] : ( r1_tarski(E,k4_finseq_1(C)) & r2_relset_1(k4_ordinal1,k6_group_9(A,B),D,k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k6_group_9(A,B),k14_finseq_1(E),C)) ) ) ) ) ) )).
fof(d29_ltlaxio1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_hilbert1)) => ( r7_ltlaxio1(A,B,C) <=> ~ ( ~ r2_tarski(k1_funct_1(B,A),k13_ltlaxio1) & ~ r2_tarski(k1_funct_1(B,A),C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & ~ r1_xxreal_0(A,D) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(A,E) & ( r5_ltlaxio1(k7_partfun1(k1_hilbert1,B,D),k7_partfun1(k1_hilbert1,B,E),k7_partfun1(k1_hilbert1,B,A)) | r6_ltlaxio1(k7_partfun1(k1_hilbert1,B,D),k7_partfun1(k1_hilbert1,B,E),k7_partfun1(k1_hilbert1,B,A)) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & ~ r1_xxreal_0(A,D) & r4_ltlaxio1(k7_partfun1(k1_hilbert1,B,D),k7_partfun1(k1_hilbert1,B,A)) ) ) ) ) ) ) ) )).
fof(d29_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k31_mmlquery(A,B) = k1_mmlquery(u1_struct_0(A),k3_relset_1(u1_struct_0(A),u1_struct_0(A),k29_mmlquery(u1_struct_0(A),u1_mmlquery(A),u2_mmlquery(A))),B) ) ) )).
fof(d29_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_modelc_2(F) & m2_finseq_1(F,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(k3_finseq_1(F),k1_nat_1(E,1)) => k16_modelc_2(A,B,C,D,E,F) = k1_funct_1(C,F) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v2_modelc_2(F) ) => k16_modelc_2(A,B,C,D,E,F) = k1_funct_1(B,F) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v3_modelc_2(F) ) => k16_modelc_2(A,B,C,D,E,F) = k1_funct_1(u1_robbins1(A),k1_funct_1(D,k10_modelc_2(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v4_modelc_2(F) ) => k16_modelc_2(A,B,C,D,E,F) = k1_binop_1(u1_lattices(A),k1_funct_1(D,k11_modelc_2(F)),k1_funct_1(D,k12_modelc_2(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v5_modelc_2(F) ) => k16_modelc_2(A,B,C,D,E,F) = k1_binop_1(u2_lattices(A),k1_funct_1(D,k11_modelc_2(F)),k1_funct_1(D,k12_modelc_2(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v6_modelc_2(F) ) => k16_modelc_2(A,B,C,D,E,F) = k1_funct_1(u2_modelc_2(A),k1_funct_1(D,k10_modelc_2(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v7_modelc_2(F) ) => k16_modelc_2(A,B,C,D,E,F) = k1_binop_1(u3_modelc_2(A),k1_funct_1(D,k11_modelc_2(F)),k1_funct_1(D,k12_modelc_2(F))) ) & ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v8_modelc_2(F) ) => k16_modelc_2(A,B,C,D,E,F) = k1_binop_1(u4_modelc_2(A),k1_funct_1(D,k11_modelc_2(F)),k1_funct_1(D,k12_modelc_2(F))) ) & ( ~ r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(F)) => k16_modelc_2(A,B,C,D,E,F) = k1_funct_1(D,F) ) & ( ( r1_xxreal_0(k3_finseq_1(F),k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(F)) ) => ( ( k3_finseq_1(F) = k1_nat_1(E,1) & v2_modelc_2(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v3_modelc_2(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v4_modelc_2(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v5_modelc_2(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v6_modelc_2(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v7_modelc_2(F) ) | ( k3_finseq_1(F) = k1_nat_1(E,1) & v8_modelc_2(F) ) | k16_modelc_2(A,B,C,D,E,F) = k1_xboole_0 ) ) ) ) ) ) ) ) ) )).
fof(d29_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => k21_modelc_3(A,B) = k1_int_1(k18_modelc_3(A,u2_modelc_3(A,B))) ) ) )).
fof(d29_monoid_0,axiom,( k23_binop_2 = u2_algstr_0(k4_monoid_0) )).
fof(d29_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C)) => ( v13_msafree5(F,A,B,C,D,E) <=> ( k4_msafree5(A,k1_msafree3(A,B),C,F,k6_msafree5(A,B,D,E)) = k6_msafree5(A,B,D,E) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_msafree4(H,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,G)) => ( ~ ( H = E & D = G ) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,B),C,F,k6_msafree5(A,B,G,H)),A,B,C,D,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d29_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_qc_lang1(A)) => k23_qc_lang1(A,B) = a_2_1_qc_lang1(A,B) ) ) )).
fof(d29_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v4_substut1(B,A) => ! [C] : ( m2_finseq_1(C,k2_qc_lang1(A)) => ( C = k26_substut1(A,B) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_subset_1(E,k6_qc_lang1(A),k8_qc_lang1(A,D)) & ? [F] : ( v3_card_1(F,D) & m2_finseq_1(F,k2_qc_lang1(A)) & ? [G] : ( m1_subset_1(G,k1_substut1(A)) & r2_relset_1(k4_ordinal1,k2_qc_lang1(A),C,F) & B = k17_substut1(A,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d29_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)))) => ( ( ? [D] : ( m1_subset_1(D,u2_turing_1(A)) & ? [E] : ( m1_subset_1(E,u1_turing_1(A)) & C = k1_domain_1(k2_zfmisc_1(u2_turing_1(A),u2_turing_1(B)),u1_turing_1(A),k1_domain_1(u2_turing_1(A),u2_turing_1(B),D,u4_turing_1(B)),E) & D != u5_turing_1(A) ) ) => k29_turing_1(A,B,C) = k21_turing_1(A,B,k3_funct_2(k2_zfmisc_1(u2_turing_1(A),u1_turing_1(A)),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),u3_turing_1(A),k1_domain_1(u2_turing_1(A),u1_turing_1(A),k25_turing_1(A,B,C),k27_turing_1(k20_turing_1(A,B),u1_turing_1(A),u1_turing_1(B),C)))) ) & ( ? [D] : ( m1_subset_1(D,u2_turing_1(B)) & ? [E] : ( m1_subset_1(E,u1_turing_1(B)) & C = k1_domain_1(k2_zfmisc_1(u2_turing_1(A),u2_turing_1(B)),u1_turing_1(B),k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),D),E) ) ) => k29_turing_1(A,B,C) = k22_turing_1(A,B,k3_funct_2(k2_zfmisc_1(u2_turing_1(B),u1_turing_1(B)),k3_zfmisc_1(u2_turing_1(B),u1_turing_1(B),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),u3_turing_1(B),k1_domain_1(u2_turing_1(B),u1_turing_1(B),k26_turing_1(A,B,C),k28_turing_1(k20_turing_1(A,B),u1_turing_1(A),u1_turing_1(B),C)))) ) & ( ( ! [D] : ( m1_subset_1(D,u2_turing_1(A)) => ! [E] : ( m1_subset_1(E,u1_turing_1(A)) => ~ ( C = k1_domain_1(k2_zfmisc_1(u2_turing_1(A),u2_turing_1(B)),u1_turing_1(A),k1_domain_1(u2_turing_1(A),u2_turing_1(B),D,u4_turing_1(B)),E) & D != u5_turing_1(A) ) ) ) & ! [D] : ( m1_subset_1(D,u2_turing_1(B)) => ! [E] : ( m1_subset_1(E,u1_turing_1(B)) => C != k1_domain_1(k2_zfmisc_1(u2_turing_1(A),u2_turing_1(B)),u1_turing_1(B),k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),D),E) ) ) ) => k29_turing_1(A,B,C) = k3_xtuple_0(k2_domain_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),C),k3_domain_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),C),k4_xcmplx_0(1)) ) ) ) ) ) )).
fof(d29_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v16_waybel_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) | r1_orders_2(A,C,B) ) ) ) ) ) )).
fof(d29_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_zf_lang(A) => k18_zf_lang(A) = k1_funct_1(A,3) ) ) )).
fof(d29_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( B = k26_zmodul02(A) <=> ! [C] : ( r2_tarski(C,B) <=> m1_zmodul02(C,A) ) ) ) )).
fof(d2_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_abcmiz_0(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r2_orders_2(A,C,D) ) ) ) ) ) ) )).
fof(d2_abcmiz_1,axiom,( ! [A] : ( A = k2_abcmiz_1 <=> ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & A = k3_card_3(B) & k1_funct_1(B,k5_numbers) = a_0_0_abcmiz_1 & ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,k1_nat_1(C,1)) = a_2_0_abcmiz_1(B,C) ) ) ) )).
fof(d2_abian,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_abian(A) <=> ? [B] : ( v7_ordinal1(B) & A = k3_xcmplx_0(2,B) ) ) ) )).
fof(d2_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_absred_0(A,B,C) <=> ( B = C | r1_absred_0(A,B,C) ) ) ) ) ) )).
fof(d2_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(A,k5_numbers) => k1_absvalue(A) = 1 ) & ( ~ r1_xxreal_0(k5_numbers,A) => k1_absvalue(A) = k4_xcmplx_0(1) ) & ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,A) ) => k1_absvalue(A) = k5_numbers ) ) ) )).
fof(d2_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ( B = k4_aescip_1(A) <=> ! [C] : ( m2_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k2_finseq_1(4)) & r2_tarski(E,k2_finseq_1(4)) & ! [F] : ( m2_finseq_2(F,k5_margrel1,k4_finseq_2(8,k5_margrel1)) => ~ ( F = k1_funct_1(k1_funct_1(C,D),E) & k1_funct_1(k1_funct_1(k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),B,C),D),E) = k3_funct_2(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1),A,F) ) ) ) ) ) ) ) ) ) )).
fof(d2_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k1_aff_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) <=> r1_aff_1(A,B,C,E) ) ) ) ) ) ) ) )).
fof(d2_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v2_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & r2_hidden(D,B) & r2_hidden(D,C) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,B) & r2_hidden(H,C) & r2_hidden(I,C) & r2_hidden(J,C) & r2_analoaf(A,E,I,F,H) & r2_analoaf(A,F,J,G,I) ) => ( B = C | D = E | D = H | D = F | D = I | D = G | D = J | r2_analoaf(A,E,J,G,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v2_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,B) & r2_hidden(E,C) & r2_hidden(H,C) & r2_hidden(I,C) & r2_hidden(E,D) & r2_hidden(J,D) & r2_hidden(K,D) & r1_aff_1(A,H,F,L) & r1_aff_1(A,I,G,L) & r1_aff_1(A,H,J,M) & r1_aff_1(A,I,K,M) & r2_analoaf(A,F,J,L,M) ) => ( C = B | C = D | B = D | E = F | E = H | E = J | L = M | J = M | r1_aff_1(A,H,F,J) | r1_aff_1(A,I,G,K) | r2_analoaf(A,F,J,G,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_aff_4(B,A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_aff_1(C,A) & v1_aff_1(D,A) & ~ r5_aff_1(A,C,D) & B = k1_aff_4(A,C,D) ) ) ) ) ) )).
fof(d2_afinsq_1,axiom,( ! [A] : k4_afinsq_1(A) = k1_xboole_0 )).
fof(d2_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( C = k2_afinsq_2(A,B) <=> ( k1_afinsq_1(C) = k7_nat_d(k1_afinsq_1(A),B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,D) = k1_funct_1(A,k2_xcmplx_0(D,B)) ) ) ) ) ) ) ) )).
fof(d2_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k2_afproj(A) = a_1_1_afproj(A) ) )).
fof(d2_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_afvect0(A,B,C) <=> ( r2_analoaf(A,B,C,C,B) & B != C ) ) ) ) ) )).
fof(d2_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect01(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_afvect01(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D != E & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,D,C) & r2_analoaf(A,B,E,E,C) ) ) ) ) ) ) )).
fof(d2_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r2_alg_1(A,B,C) <=> ( r1_alg_1(A,B,C) & v2_funct_1(C) ) ) ) ) ) )).
fof(d2_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ( r1_algseq_1(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => k1_funct_1(B,D) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(d2_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( m1_algspec1(B,A) <=> ( k9_xtuple_0(B) = k10_xtuple_0(A) & k3_relat_1(B,A) = k6_partfun1(k10_xtuple_0(A)) ) ) ) ) )).
fof(d2_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_algstr_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_0(A,k4_struct_0(A),B) = B ) ) ) )).
fof(d2_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v3_algstr_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_algstr_2(A,B,C) = k1_algstr_0(A,B,k1_algstr_2(A,C)) ) ) ) )).
fof(d2_algstr_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k1_numbers))) ) => ( A = k2_algstr_3 <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_multop_1(A,B,C,D) = k2_xcmplx_0(k3_xcmplx_0(B,C),D) ) ) ) ) ) )).
fof(d2_algstr_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_algstr_4(A,B) <=> ( r1_tarski(k9_xtuple_0(B),k9_xtuple_0(A)) & r1_partfun1(A,B) ) ) ) ) )).
fof(d2_altcat_1,axiom,( ! [A] : ( l1_altcat_1(A) => ( v2_altcat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,B,D) = k1_xboole_0 ) ) ) ) ) ) )).
fof(d2_altcat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( r2_altcat_2(A,B,C,D) <=> ( r1_tarski(A,B) & ! [E] : ( r2_tarski(E,A) => r1_tarski(k1_funct_1(C,E),k1_funct_1(D,E)) ) ) ) ) ) )).
fof(d2_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( v1_altcat_3(D,A,B,C) <=> ? [E] : ( m1_subset_1(E,k1_altcat_1(A,C,B)) & r1_altcat_3(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d2_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & m1_altcat_2(B,A) ) => ( B = k2_altcat_4(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,D)) => ( r2_tarski(E,k1_binop_1(u1_altcat_1(B),C,D)) <=> ( k1_altcat_1(A,C,D) != k1_xboole_0 & v5_altcat_3(E,A,C,D) ) ) ) ) ) ) ) ) ) )).
fof(d2_altcat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) ) => ( m1_altcat_5(E,A,B,C,D) <=> ! [F] : ~ ( r2_hidden(F,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( G = k1_funct_1(D,F) & m1_subset_1(k1_funct_1(E,F),k1_altcat_1(A,B,G)) ) ) ) ) ) ) ) ) )).
fof(d2_ami_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(k5_card_1(2),k1_ami_3),k11_memstr_0(k5_card_1(2),k1_ami_3)))) ) => ( A = k2_ami_4 <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(C) ) => ( r2_hidden(k4_tarski(B,C),A) <=> ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & B = k12_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1),D,E) & C = k11_ami_3(k10_ami_3(k5_numbers),k3_int_2(D,E)) ) ) ) ) ) ) ) )).
fof(d2_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ( v1_ami_wstd(B,A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_ami_wstd(A,B,C,D) & r1_ami_wstd(A,B,D,C) ) => C = D ) ) ) ) ) ) )).
fof(d2_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_amistd_1(C,A,B) <=> v1_amistd_1(k5_compos_0(u1_compos_1(B),C),A,B) ) ) ) ) )).
fof(d2_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analmetr(A,B,C,D,E) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & B = k3_rlvect_1(A,k1_rlvect_1(A,D,F),k1_rlvect_1(A,E,G)) & C = k3_rlvect_1(A,k1_rlvect_1(A,D,H),k1_rlvect_1(A,E,I)) & k2_xcmplx_0(k3_xcmplx_0(F,H),k3_xcmplx_0(G,I)) = k5_numbers ) ) ) ) ) ) ) ) ) ) )).
fof(d2_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) <=> r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E)),u1_analoaf(A)) ) ) ) ) ) ) )).
fof(d2_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_analort(A,B,C,D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_geomtrap(A,B,C,D)),k1_rlvect_1(A,C,k4_xcmplx_0(k2_geomtrap(A,B,C,D)))) ) ) ) ) )).
fof(d2_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_anproj_1(A,B,C,D) <=> ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),k1_rlvect_1(A,D,G)) = k4_struct_0(A) & ~ ( E = k5_numbers & F = k5_numbers & G = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(d2_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_anproj_2(A,B,C,D,E,F,G) <=> ( r2_anproj_1(A,B,C,G) & r2_anproj_1(A,B,D,F) & r2_anproj_1(A,C,D,E) ) ) ) ) ) ) ) ) ) )).
fof(d2_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) => ( v1_aofa_000(A) <=> ! [B] : ! [C] : ! [D] : ( ( r2_tarski(k10_finseq_1(B,C),k9_xtuple_0(A)) & r2_tarski(k10_finseq_1(C,D),k9_xtuple_0(A)) & r2_tarski(k10_finseq_1(k1_funct_1(A,k10_finseq_1(B,C)),D),k9_xtuple_0(A)) & r2_tarski(k10_finseq_1(B,k1_funct_1(A,k10_finseq_1(C,D))),k9_xtuple_0(A)) ) => k1_funct_1(A,k10_finseq_1(k1_funct_1(A,k10_finseq_1(B,C)),D)) = k1_funct_1(A,k10_finseq_1(B,k1_funct_1(A,k10_finseq_1(C,D)))) ) ) ) )).
fof(d2_aofa_a00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ! [E] : ( r2_tarski(E,A) => ! [F] : ( r2_tarski(F,k1_funct_1(B,E)) => ! [G] : ( r2_tarski(G,k1_funct_1(C,E)) => ! [H] : ( m2_pboole(H,A,B,C) => ( H = k3_aofa_a00(A,B,C,D,E,F,G) <=> ( k2_msafree4(A,B,C,H,E) = k1_funct_7(k2_msafree4(A,B,C,D,E),F,G) & ! [I] : ( r2_tarski(I,A) => ( I = E | r2_funct_2(k1_funct_1(B,I),k1_funct_1(C,I),k2_msafree4(A,B,C,H,I),k2_msafree4(A,B,C,D,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) ) => k1_aofa_a01(A,B,C) = k13_msafree(A,B) ) ) ) )).
fof(d2_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k9_funct_2(A,k4_numbers),B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),B),C))) ) => ! [E] : ( m1_subset_1(E,A) => m1_aofa_i00(E,A,B,C,D) ) ) )).
fof(d2_aofa_l00,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ( v2_aofa_l00(B,A) <=> m1_instalg1(A,B) ) ) ) )).
fof(d2_armstrng,axiom,( ! [A] : ! [B] : ( r1_armstrng(A,B) <=> ( r2_tarski(A,B) & ! [C] : ! [D] : ~ ( r2_tarski(C,B) & r2_tarski(D,B) & A = k3_xboole_0(C,D) & A != C & A != D ) ) ) )).
fof(d2_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_arrow(A))) => ( B = k3_arrow(A) <=> ! [C] : ( m1_subset_1(C,k2_arrow(A)) => ( r2_tarski(C,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ( r2_hidden(k4_tarski(D,E),C) & r2_hidden(k4_tarski(E,D),C) ) => D = E ) ) ) ) ) ) ) ) )).
fof(d2_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ( ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_arytm_2) ) => ( C = k2_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = D & B = E & C = k8_arytm_2(D,E) ) ) ) ) & ( ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) => ( A = k5_numbers | ( C = k2_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = D & B = k4_tarski(k5_numbers,E) & C = k4_tarski(k5_numbers,k8_arytm_2(D,E)) ) ) ) ) ) & ( ( r2_tarski(B,k2_arytm_2) & r2_tarski(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) => ( B = k5_numbers | ( C = k2_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = k4_tarski(k5_numbers,D) & B = E & C = k4_tarski(k5_numbers,k8_arytm_2(E,D)) ) ) ) ) ) & ( ( r2_tarski(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & r2_tarski(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) => ( C = k2_arytm_0(A,B) <=> ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & A = k4_tarski(k5_numbers,D) & B = k4_tarski(k5_numbers,E) & C = k8_arytm_2(E,D) ) ) ) ) & ~ ( ~ ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_arytm_2) ) & ~ ( r2_tarski(A,k2_arytm_2) & r2_tarski(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & A != k5_numbers ) & ~ ( r2_tarski(B,k2_arytm_2) & r2_tarski(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & B != k5_numbers ) & ~ ( r2_tarski(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & r2_tarski(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) & ~ ( C = k2_arytm_0(A,B) <=> C = k5_numbers ) ) ) ) ) ) )).
fof(d2_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( ( r1_arytm_2(B,A) => k2_arytm_1(A,B) = k1_arytm_1(A,B) ) & ( ~ r1_arytm_2(B,A) => k2_arytm_1(A,B) = k4_tarski(k11_arytm_3,k1_arytm_1(B,A)) ) ) ) ) )).
fof(d2_arytm_2,axiom,( k2_arytm_2 = k6_subset_1(k2_xboole_0(k5_arytm_3,k1_arytm_2),a_0_1_arytm_2) )).
fof(d2_arytm_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r1_arytm_3(A,B) <=> ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( ( A = k11_ordinal2(C,D) & B = k11_ordinal2(C,E) ) => C = 1 ) ) ) ) ) ) ) )).
fof(d2_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_asympt_0(A) <=> ? [B] : ( v7_ordinal1(B) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,C)) ) ) ) ) ) )).
fof(d2_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k2_asympt_1 <=> ( k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(B,k5_numbers) => k8_nat_1(k1_numbers,A,B) = k3_power(2,B) ) ) ) ) ) )).
fof(d2_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_autalg_1(A),k1_autalg_1(A)),k1_autalg_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autalg_1(A),k1_autalg_1(A)),k1_autalg_1(A)))) ) => ( B = k2_autalg_1(A) <=> ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),k1_autalg_1(A)) => ! [D] : ( m2_funct_2(D,u1_struct_0(A),u1_struct_0(A),k1_autalg_1(A)) => k4_binop_1(k1_autalg_1(A),B,C,D) = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(d2_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)))) ) => ( B = k2_autgroup(A) <=> ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) => ! [D] : ( m2_funct_2(D,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) => k4_binop_1(k1_autgroup(A),B,C,D) = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,C) ) ) ) ) ) )).
fof(d2_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_bcialg_1(A,B) = k1_bcialg_1(A,k4_struct_0(A),B) ) ) )).
fof(d2_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_bcialg_2(B,A) <=> r1_bcialg_1(A,k4_struct_0(A),B) ) ) ) )).
fof(d2_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bcialg_4(A) ) => ( v2_bcialg_4(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,C),D) = k1_bcialg_1(A,B,k1_bcialg_4(A,C,D)) ) ) ) ) ) )).
fof(d2_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(k5_numbers,C) => k2_bcialg_6(A,B,C) = k9_nat_1(u1_struct_0(A),k1_bcialg_6(A),B,k1_int_2(C)) ) & ( ~ r1_xxreal_0(k5_numbers,C) => k2_bcialg_6(A,B,C) = k9_nat_1(u1_struct_0(A),k1_bcialg_6(A),k2_bcialg_1(A,B),k1_int_2(C)) ) ) ) ) ) )).
fof(d2_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bhsp_1(A) ) => ( v2_bhsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ( ( k1_bhsp_1(A,B,B) = k5_numbers => B = k4_struct_0(A) ) & ( B = k4_struct_0(A) => k1_bhsp_1(A,B,B) = k5_numbers ) & r1_xxreal_0(k5_numbers,k1_bhsp_1(A,B,B)) & k1_bhsp_1(A,B,C) = k1_bhsp_1(A,C,B) & k1_bhsp_1(A,k1_algstr_0(A,B,C),D) = k2_xcmplx_0(k1_bhsp_1(A,B,D),k1_bhsp_1(A,C,D)) & k1_bhsp_1(A,k1_rlvect_1(A,B,E),C) = k3_xcmplx_0(E,k1_bhsp_1(A,B,C)) ) ) ) ) ) ) ) )).
fof(d2_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k1_bhsp_2(A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k4_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,F),C)) ) ) ) ) ) ) ) ) ) )).
fof(d2_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_bhsp_3(A,B,C) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k4_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,F),k8_nat_1(u1_struct_0(A),C,F))) ) ) ) ) ) ) ) ) )).
fof(d2_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_4(B,A) <=> v1_bhsp_2(k1_bhsp_4(A,B),A) ) ) ) )).
fof(d2_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( F = k2_bilinear(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),F,G,H) = k1_algstr_0(A,k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,G,H),k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),E,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(d2_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => k2_binari_2(A,B) = k7_binarith(A,k3_binarith(A,B),k1_binari_2(A)) ) ) )).
fof(d2_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( ( ~ r1_xxreal_0(k5_numbers,B) => k2_binari_4(A,B) = k1_binari_3(A,k1_int_2(k2_xcmplx_0(k5_series_1(2,k1_binari_4(A,k1_int_2(B))),B))) ) & ( r1_xxreal_0(k5_numbers,B) => k2_binari_4(A,B) = k1_binari_3(A,k1_int_2(B)) ) ) ) ) )).
fof(d2_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k5_margrel1) ) => ( D = k4_binarith(A,B,C) <=> ( k7_partfun1(k5_margrel1,D,1) = k6_margrel1 & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(A,E) | k7_partfun1(k5_margrel1,D,k1_nat_1(E,1)) = k1_binarith(k1_binarith(k9_margrel1(k7_partfun1(k5_margrel1,B,E),k7_partfun1(k5_margrel1,C,E)),k9_margrel1(k7_partfun1(k5_margrel1,B,E),k7_partfun1(k5_margrel1,D,E))),k9_margrel1(k7_partfun1(k5_margrel1,C,E),k7_partfun1(k5_margrel1,D,E))) ) ) ) ) ) ) ) ) ) )).
fof(d2_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k2_binom(A,B,C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C) ) ) ) )).
fof(d2_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => k1_binop_1(B,C,D) = k1_binop_1(B,D,C) ) ) ) ) )).
fof(d2_bintree1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( v1_bintree1(A) <=> ! [B] : ( m1_trees_1(B,A) => ( ~ r2_tarski(B,k3_trees_1(A)) => k1_trees_2(A,B) = k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1)),k8_finseq_1(k4_ordinal1,B,k14_trees_3(k5_numbers)),k8_finseq_1(k4_ordinal1,B,k14_trees_3(1))) ) ) ) ) )).
fof(d2_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( v1_bintree2(A) <=> A = k3_finseq_2(k7_domain_1(k4_ordinal1,k5_numbers,1)) ) ) )).
fof(d2_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_boolealg(A,B,C) = k3_lattices(A,k1_boolealg(A,B,C),k1_boolealg(A,C,B)) ) ) ) )).
fof(d2_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_boolmark(A,B,C) <=> r1_tarski(k7_relat_1(B,k8_petri(A,k6_domain_1(u4_struct_0(A),C))),k6_domain_1(k5_margrel1,k7_margrel1)) ) ) ) ) )).
fof(d2_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = k2_borsuk_1(A,B) <=> ( u1_struct_0(C) = k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)) & u1_pre_topc(C) = a_3_0_borsuk_1(A,B,C) ) ) ) ) ) )).
fof(d2_borsuk_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_borsuk_2(A,B,C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ( m1_borsuk_2(D,A,B,C) <=> ( v5_pre_topc(D,k5_topmetr,A) & k1_funct_1(D,k5_numbers) = B & k1_funct_1(D,1) = C ) ) ) ) ) ) ) )).
fof(d2_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_borsuk_5(A,B) = k9_subset_1(k1_numbers,k3_numbers,k2_rcomp_1(A,B)) ) ) )).
fof(d2_borsuk_7,axiom,( k7_borsuk_7 = k4_euclid_5(1,k5_numbers,k5_numbers) )).
fof(d2_brouwer,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => k2_brouwer(A,B,C) = k1_pre_topc(k15_euclid(A),k2_topreal9(A,B,C)) ) ) ) )).
fof(d2_bspace,axiom,( k2_bspace = k9_int_3(2) )).
fof(d2_bvfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_margrel1(C) ) => ( C = k3_bvfunc_1(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k5_xboolean(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d2_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( r1_bvfunc_2(A,B,C) <=> ( ! [D] : ( m1_eqrel_1(D,A) => ( r2_tarski(D,B) => r1_partit1(A,D,C) ) ) & ! [D] : ( ( r1_tarski(D,C) & ! [E] : ( m1_eqrel_1(E,A) => ( r2_tarski(E,B) => r1_partit1(A,E,D) ) ) ) => D = C ) ) ) ) ) )).
fof(d2_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k2_c0sp2(A) = a_1_0_c0sp2(A) ) )).
fof(d2_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ( ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k2_calcul_1(A,B) = k1_funct_1(B,k3_finseq_1(B)) ) & ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k2_calcul_1(A,B) = k5_cqc_lang(A) ) ) ) ) )).
fof(d2_calcul_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => k3_calcul_2(A,B,C) = k4_relset_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B),k4_ordinal1,A,C,B) ) ) ) )).
fof(d2_cantor_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_cantor_1(B,A) <=> r1_tarski(u1_pre_topc(A),k1_cantor_1(u1_struct_0(A),B)) ) ) ) )).
fof(d2_card_1,axiom,( ! [A] : ! [B] : ( v1_card_1(B) => ( B = k1_card_1(A) <=> r2_wellord2(A,B) ) ) )).
fof(d2_card_2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => k2_card_2(A,B) = k1_card_1(k2_zfmisc_1(A,B)) ) ) )).
fof(d2_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) ) => ( B = k1_card_3(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d2_card_5,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_card_3(C) ) => ( C = k2_card_5(A,B) <=> ( ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) <=> ( r2_hidden(D,A) & v1_card_1(D) ) ) & ! [D] : ( v1_card_1(D) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k3_card_2(D,B) ) ) ) ) ) ) ) )).
fof(d2_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( m2_card_fil(B,A) <=> ( ~ r2_tarski(A,B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k4_subset_1(A,C,D),B) ) & ( ( r2_tarski(C,B) & r1_tarski(D,C) ) => r2_tarski(D,B) ) ) ) ) ) ) ) ) )).
fof(d2_card_fin,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_tarski(k10_xtuple_0(A)))) => ( D = k2_card_fin(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k3_tarski(k10_xtuple_0(A))) & ! [F] : ( ( r2_tarski(F,k9_xtuple_0(B)) & k1_funct_1(B,F) = C ) => r2_tarski(E,k1_funct_1(A,F)) ) ) ) ) ) ) ) )).
fof(d2_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( r2_card_lar(A,B) <=> ( r1_tarski(B,A) & ! [C] : ( ( v3_ordinal1(C) & v4_ordinal1(C) & ~ v1_finset_1(C) ) => ( ( r2_tarski(C,A) & k3_ordinal2(k3_xboole_0(B,C)) = C ) => r2_tarski(C,B) ) ) ) ) ) )).
fof(d2_cardfin2,axiom,( ! [A] : k2_cardfin2(A) = a_1_0_cardfin2(A) )).
fof(d2_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( C = k2_cat_2(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> m2_cat_1(D,A,B) ) ) ) ) )).
fof(d2_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( D = k3_cat_3(A,B,C) <=> ! [E] : ( r2_tarski(E,B) => k7_partfun1(u1_struct_0(A),D,E) = k4_graph_1(A,k7_partfun1(u4_struct_0(A),C,E)) ) ) ) ) ) )).
fof(d2_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v1_cat_4(A) <=> ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_cat_3(E,A,D,B) & r2_funct_2(B,u1_struct_0(A),k3_cat_3(A,B,E),C) & r1_cat_3(A,D,B,E) ) ) ) ) ) ) )).
fof(d2_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ~ ( ? [C] : ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m3_cat_2(A,C) & m3_cat_2(B,C) ) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(B)) ) & ~ ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_cat_1(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ( C = k3_cat_5(A,B) <=> ( u1_struct_0(C) = k3_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u4_struct_0(C) = k3_xboole_0(u4_struct_0(A),u4_struct_0(B)) & u1_graph_1(C) = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),u4_struct_0(B)) & u2_graph_1(C) = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),u4_struct_0(B)) & u1_cat_1(C) = k1_realset1(u1_cat_1(A),u4_struct_0(B)) ) ) ) ) ) ) )).
fof(d2_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ( r1_cat_6(A,B,C) <=> r2_hidden(k4_tarski(B,C),k1_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_cat_6(A))) ) ) ) ) )).
fof(d2_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => k2_cat_7(A,B,C) = a_3_1_cat_7(A,B,C) ) ) ) )).
fof(d2_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(k7_domain_1(k4_ordinal1,k5_numbers,1)))) => ( C = k2_catalan2(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v5_ordinal1(E) & v1_finset_1(E) & E = D & v1_catalan2(E) & k1_relset_1(k4_ordinal1,E) = A & k7_afinsq_2(E) = B ) ) ) ) ) ) )).
fof(d2_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v1_catalg_1(B,A) <=> v3_relat_1(u3_msualg_1(A,B)) ) ) ) )).
fof(d2_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_cayldick(A,B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),u1_cayldick(A),B) ) ) )).
fof(d2_cayley,axiom,( ! [A] : ! [B] : ( ( v15_algstr_0(B) & v1_monoid_0(B) & l3_algstr_0(B) ) => ( B = k2_cayley(A) <=> ( u1_struct_0(B) = k1_cayley(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k6_algstr_0(B,C,D) = k3_relat_1(C,D) ) ) ) ) ) )).
fof(d2_cc0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_cc0sp1(B,A) <=> ( v1_ideal_1(B,A) & v1_c0sp1(B,A) & ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k1_clvect_1(A,D,C),B) ) ) ) ) ) ) ) )).
fof(d2_cc0sp2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( v1_xcmplx_0(B) => k1_cc0sp2(A,B) = k7_funcop_1(u1_struct_0(A),B) ) ) )).
fof(d2_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( r2_cfcont_1(A,B) <=> ( r1_tarski(B,k1_relset_1(k2_numbers,A)) & ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,B) => r1_cfcont_1(k5_relset_1(k2_numbers,k2_numbers,A,B),C) ) ) ) ) ) )).
fof(d2_cfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( B = k1_cfdiff_1(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,B,C) = k7_xcmplx_0(1,k2_xcmplx_0(C,A)) ) ) ) ) )).
fof(d2_cfuncdom,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)))) ) => ( B = k2_cfuncdom(A) <=> ! [C] : ( m2_funct_2(C,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [D] : ( m2_funct_2(D,A,k2_numbers,k9_funct_2(A,k2_numbers)) => r2_funct_2(A,k2_numbers,k1_funcsdom(A,k2_numbers,B,C,D),k3_funcsdom(k2_numbers,A,k5_binop_2,C,D)) ) ) ) ) )).
fof(d2_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( C = k2_cfunct_1(A,B) <=> ( k1_relset_1(A,C) = k7_subset_1(A,k1_relset_1(A,B),k8_relset_1(A,k2_numbers,B,k1_tarski(k5_numbers))) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k7_partfun1(k2_numbers,C,D) = k5_xcmplx_0(k7_partfun1(k2_numbers,B,D)) ) ) ) ) ) ) ) )).
fof(d2_cgames_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k2_cgames_1(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & r2_tarski(A,k9_xtuple_0(C)) & k1_funct_1(C,A) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = a_2_0_cgames_1(C,D) ) ) ) ) ) )).
fof(d2_chain_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v8_ordinal1(A) <=> ~ r1_xxreal_0(1,A) ) ) )).
fof(d2_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v1_chord(B,A) <=> ! [C] : ( m3_glib_001(C,A) => ( r1_glib_001(A,k3_glib_001(A,B),k4_glib_001(A,B),C) => r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) ) )).
fof(d2_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ( v2_circcmb3(B,A) <=> ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => v1_circcmb3(C,A,B) ) ) ) ) )).
fof(d2_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_msualg_1(C) & l1_msualg_1(C) ) => ( C = k2_circcomb(A,B) <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u4_struct_0(C) = k2_xboole_0(u4_struct_0(A),u4_struct_0(B)) & u1_msualg_1(C) = k1_funct_4(u1_msualg_1(A),u1_msualg_1(B)) & u2_msualg_1(C) = k1_funct_4(u2_msualg_1(A),u2_msualg_1(B)) ) ) ) ) ) )).
fof(d2_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k1_circled1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ( v3_rltopsp1(D,A) & r1_tarski(B,D) ) ) ) ) ) ) ) )).
fof(d2_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C))) => ! [E] : ( l3_msualg_1(E,A) => ! [F] : ( F = k2_circtrm1(A,B,C,D,E) <=> ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( G = D => F = k1_funct_1(u3_msualg_1(A,E),k7_msaterm(A,B,G)) ) ) ) ) ) ) ) ) )).
fof(d2_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ( v1_msafree2(A) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ! [D] : ( v7_ordinal1(D) => k2_circuit1(A,B,C,D) = k1_funct_1(k9_funct_6(C),D) ) ) ) ) ) )).
fof(d2_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msafree2(C,A,B) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B))) => ( D = k3_circuit2(A,B,C) <=> ( r1_msualg_3(A,k5_msafree2(A,B),k5_msafree2(A,B),D) & r2_pboole(u1_struct_0(A),k2_circuit2(A,B,C),D) ) ) ) ) ) ) )).
fof(d2_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => k1_ckspace1(A,B,C) = a_3_0_ckspace1(A,B,C) ) ) ) )).
fof(d2_classes1,axiom,( ! [A] : ( v2_classes1(A) <=> ( v1_classes1(A) & ! [B] : ( r2_tarski(B,A) => r2_tarski(k9_setfam_1(B),A) ) & ! [B] : ~ ( r1_tarski(B,A) & ~ r3_tarski(B,A) & ~ r2_tarski(B,A) ) ) ) )).
fof(d2_classes2,axiom,( k13_classes2 = k1_classes1(k1_xboole_0) )).
fof(d2_clopban1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => k3_clopban1(A,B) = g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)) ) ) )).
fof(d2_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => k3_clopban2(A,B,C) = k1_clopban2(A,k11_clopban1(A,A,B),k11_clopban1(A,A,C)) ) ) ) )).
fof(d2_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_clopban3(A,B) = k7_clvect_1(A,k1_bhsp_4(A,B)) ) ) )).
fof(d2_clopban4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & v2_cfuncdom(B) & v5_clopban2(B) & l1_clopban2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( E = k2_clopban4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,A) => k1_normsp_0(B,E,F) = k6_algstr_0(B,k1_clvect_1(B,k3_clopban3(B,C,F),k8_nat_1(k2_numbers,k5_sin_cos(A),F)),k3_clopban3(B,D,k7_nat_d(A,F))) ) & ( ~ r1_xxreal_0(F,A) => k1_normsp_0(B,E,F) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(d2_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( v2_closure1(C,A,B) <=> ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => ! [E] : ( m1_pboole(E,A,k5_mssubfam(A,B)) => ( r2_pboole(A,D,E) => r2_pboole(A,k2_closure1(A,B,C,D),k2_closure1(A,B,C,E)) ) ) ) ) ) ) )).
fof(d2_closure2,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( A != k1_xboole_0 => ( B = k3_closure2(A) <=> ? [C] : ( ~ v1_xboole_0(C) & v4_funct_1(C) & C = A & k9_xtuple_0(B) = k1_setfam_1(a_1_0_closure2(C)) & ! [D] : ( r2_tarski(D,k9_xtuple_0(B)) => k1_funct_1(B,D) = a_2_0_closure2(C,D) ) ) ) ) & ( A = k1_xboole_0 => ( B = k3_closure2(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d2_closure3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ! [D] : ( m3_pboole(D,A,B) => ( D = k2_closure3(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k3_tarski(a_4_0_closure3(A,B,C,E)) ) ) ) ) ) )).
fof(d2_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( v2_clvect_1(A) <=> ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_clvect_1(A,k1_algstr_0(A,C,D),B) = k1_algstr_0(A,k1_clvect_1(A,C,B),k1_clvect_1(A,D,B)) ) ) ) ) ) )).
fof(d2_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k1_clvect_2(A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k13_csspace(A,k8_nat_1(u1_struct_0(A),B,F),C)) ) ) ) ) ) ) ) ) ) )).
fof(d2_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_clvect_3(A,B) = k1_clvect_2(A,k1_bhsp_4(A,B)) ) ) )).
fof(d2_coh_sp,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( v1_partfun1(B,k3_tarski(A)) & v1_relat_2(B) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(A)))) ) => ( B = k1_coh_sp(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ? [E] : ( r2_tarski(E,A) & r2_hidden(C,E) & r2_hidden(D,E) ) ) ) ) ) )).
fof(d2_cohsp_1,axiom,( ! [A] : k1_cohsp_1(A) = k2_coh_sp(A,k6_partfun1(A)) )).
fof(d2_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_collsp(A,B,C,D) <=> r2_tarski(k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,C,D),u1_collsp(A)) ) ) ) ) ) )).
fof(d2_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A))) => ( v1_combgras(B,A) <=> ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ~ ( r2_tarski(C,B) & r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ~ r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),C,D),E) ) ) ) ) ) ) ) )).
fof(d2_commacat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,C) => ! [E] : ( m2_cat_1(E,B,C) => ( ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( m1_subset_1(H,u4_struct_0(C)) & r2_tarski(H,k2_cat_1(C,k8_cat_1(A,C,D,F),k8_cat_1(B,C,E,G))) ) ) ) => k2_commacat(A,B,C,D,E) = a_5_1_commacat(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d2_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k1_compl_sp(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_tbsp_1(A,k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,D)) ) ) ) ) ) )).
fof(d2_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( r2_hidden(A,k1_numbers) => ( B = k2_complex1(A) <=> B = k5_numbers ) ) & ( ~ r2_hidden(A,k1_numbers) => ( B = k2_complex1(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,2,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(2,k1_numbers))) & A = C & B = k1_funct_1(C,1) ) ) ) ) ) )).
fof(d2_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xreal_0(B) => k2_complex2(A,B) = k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A),k19_sin_cos(k2_xcmplx_0(B,k1_comptrig(A)))),k3_xcmplx_0(k3_xcmplx_0(k9_complex1(A),k17_sin_cos(k2_xcmplx_0(B,k1_comptrig(A)))),k7_complex1)) ) ) )).
fof(d2_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_complfld)) => ( m1_complfld(C,A,B) <=> k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),C,B) = A ) ) ) ) )).
fof(d2_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k6_complsp2(A) = k10_seq_4(k7_seq_4(A,k1_complsp2(A)),k7_xcmplx_0(1,2)) ) )).
fof(d2_compos_0,axiom,( ! [A] : ( v1_compos_0(A) => k4_compos_0(A) = k11_xtuple_0(A) ) )).
fof(d2_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => k2_compos_2(A,B,C) = k8_compos_1(A,B,k11_compos_1(A,C)) ) ) ) )).
fof(d2_comptrig,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v1_xcmplx_0(C) => ( m1_comptrig(C,A,B) <=> k1_newton(C,B) = A ) ) ) ) )).
fof(d2_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v9_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & v4_pre_topc(C,A) & r2_tarski(B,k3_subset_1(u1_struct_0(A),C)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v3_pre_topc(E,A) & r2_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) ) )).
fof(d2_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) ) => ( v2_comput_1(A) <=> ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & r2_tarski(B,k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) => r2_tarski(C,k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) ) ) ) ) )).
fof(d2_comseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( C = k2_comseq_2(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k3_funct_2(A,k2_numbers,C,D) = k8_complex1(k3_funct_2(A,k2_numbers,B,D)) ) ) ) ) ) )).
fof(d2_comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v7_ordinal1(B) => k2_comseq_3(A,B) = k8_nat_1(k2_numbers,k1_comseq_3(A),B) ) ) )).
fof(d2_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v2_conaffm(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r4_analmetr(A,B,C,B,D) & r4_analmetr(A,B,E,B,F) & r4_analmetr(A,B,G,B,H) & r4_analmetr(A,C,E,D,F) & r2_analoaf(A,B,C,E,G) & r4_analmetr(A,C,G,D,H) ) => ( r2_analoaf(A,B,G,B,C) | r2_analoaf(A,B,C,B,E) | r4_analmetr(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_conlat_1(A,B,C) <=> r2_hidden(k4_tarski(B,C),u1_conlat_1(A)) ) ) ) ) )).
fof(d2_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) => k2_conlat_2(A,B) = k16_lattice3(k11_conlat_1(A),B) ) ) )).
fof(d2_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v2_conmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ( ( v5_analmetr(I,A) & v5_analmetr(J,A) & r2_hidden(B,I) & r2_hidden(C,I) & r2_hidden(D,I) & r2_hidden(E,I) & r2_hidden(B,J) & r2_hidden(F,J) & r2_hidden(G,J) & r2_hidden(H,J) & r2_analoaf(A,E,G,D,F) & r2_analoaf(A,E,H,C,F) ) => ( r2_hidden(G,I) | r2_hidden(E,J) | B = C | B = D | B = E | B = F | B = G | B = H | r2_analoaf(A,C,G,D,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_connsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k2_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & r1_connsp_1(A,B,C) & B != k1_struct_0(A) & C != k1_struct_0(A) ) ) ) ) ) )).
fof(d2_connsp_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m2_connsp_2(C,A,B) <=> r1_tarski(B,k1_tops_1(A,C)) ) ) ) ) )).
fof(d2_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_connsp_3(B,A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) => v3_connsp_1(D,A) ) ) & B = k5_setfam_1(u1_struct_0(A),C) ) ) ) ) )).
fof(d2_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_convex1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( r1_xxreal_0(E,k5_numbers) | r1_xxreal_0(1,E) | r2_tarski(k1_algstr_0(A,k1_rlvect_1(A,C,E),k1_rlvect_1(A,D,k6_xcmplx_0(1,E))),B) ) ) ) ) ) ) ) ) )).
fof(d2_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k2_numbers,k9_funct_2(u1_struct_0(A),k2_numbers)) => k1_convex4(A,B) = a_2_0_convex4(A,B) ) ) )).
fof(d2_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) => ( C = k2_convfun1(A,B) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( E = k1_domain_1(u1_struct_0(A),u1_struct_0(B),F,G) => k1_binop_1(C,D,E) = k4_tarski(k1_funct_1(u1_rlvect_1(A),k4_tarski(D,F)),k1_funct_1(u1_rlvect_1(B),k4_tarski(D,G))) ) ) ) ) ) ) ) ) ) )).
fof(d2_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => k3_cqc_lang(A) = a_1_0_cqc_lang(A) ) )).
fof(d2_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k3_cqc_lang(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k3_cqc_lang(A)))) ) => ! [D] : ( m2_funct_2(D,B,k3_cqc_lang(A),k9_funct_2(B,k3_cqc_lang(A))) => ( D = k2_cqc_sim1(A,B,C) <=> ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ( F = k3_funct_2(B,k3_cqc_lang(A),C,E) => k3_funct_2(B,k3_cqc_lang(A),D,E) = k6_cqc_lang(A,F) ) ) ) ) ) ) ) ) )).
fof(d2_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( C = k1_cqc_the1(A,B) <=> ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_tarski(D,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(A))) => ( ( v1_cqc_the1(E,A) & r1_tarski(B,E) ) => r2_tarski(D,E) ) ) ) ) ) ) ) ) )).
fof(d2_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r2_cqc_the3(A,B,C) <=> ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_tarski(D,C) => r3_cqc_the1(A,B,D) ) ) ) ) ) ) )).
fof(d2_csspace3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_csspace3,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_csspace3,k1_numbers))) ) => ( A = k2_csspace3 <=> ! [B] : ( r2_hidden(B,k1_csspace3) => k1_funct_1(A,B) = k4_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B))) ) ) ) )).
fof(d2_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_csspace4,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_csspace4,k1_numbers))) ) => ( A = k2_csspace4 <=> ! [B] : ( r2_hidden(B,k1_csspace4) => k1_funct_1(A,B) = k2_seq_4(k2_relset_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B)))) ) ) ) )).
fof(d2_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_dblseq_1(A) => ! [B] : ( v1_xreal_0(B) => ( B = k1_dblseq_1(A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_binop_1(A,E,F),B))) ) ) ) ) ) ) ) ) ) )).
fof(d2_dblseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,A),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) ) => ( E = k1_dblseq_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,A) => k2_binop_1(B,A,C,E,F,G) = k2_binop_1(A,B,C,D,G,F) ) ) ) ) ) ) ) ) )).
fof(d2_descip_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k7_descip_1(A) = k16_finseq_1(k3_finseq_1(A),k7_finseq_1(k9_finseq_1(k1_funct_1(A,k3_finseq_1(A))),A)) ) )).
fof(d2_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_dickson(B,A) <=> ! [C] : ( v7_ordinal1(C) => r2_hidden(k4_tarski(k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,k1_nat_1(C,1))),u1_orders_2(A)) ) ) ) ) )).
fof(d2_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( C = k2_diff_1(A,B) <=> ! [D] : ( v1_xreal_0(D) => k1_funct_1(C,D) = k1_funct_1(A,k2_xcmplx_0(D,B)) ) ) ) ) ) )).
fof(d2_diff_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => k2_diff_2(A,B,C,D,E,F,G) = k7_xcmplx_0(k6_xcmplx_0(k1_diff_2(A,B,C,D,E,F),k1_diff_2(A,C,D,E,F,G)),k6_xcmplx_0(B,G)) ) ) ) ) ) ) ) )).
fof(d2_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_dilworth(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( C = D | ( ~ r1_orders_2(A,C,D) & ~ r1_orders_2(A,D,C) ) ) ) ) ) ) ) ) )).
fof(d2_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => k2_diraf(A) = g1_analoaf(u1_struct_0(A),k1_diraf(u1_struct_0(A),u1_analoaf(A))) ) )).
fof(d2_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : k3_dist_1(A,B,C) = k7_xcmplx_0(k2_dist_1(A,B,C),k3_finseq_1(B)) ) ) )).
fof(d2_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => k2_dist_2(A,B) = k3_funct_2(k6_dist_1(A),k3_finseq_2(k1_numbers),k7_dist_1(A),B) ) ) )).
fof(d2_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_lang1(A) & l1_lang1(A) ) => ( A = k5_dtconstr <=> ( u1_struct_0(A) = k7_domain_1(k4_ordinal1,k5_numbers,1) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( r1_lang1(A,B,C) <=> ( B = 1 & ( C = k3_pre_poly(k4_ordinal1,k5_numbers) | C = k3_pre_poly(k4_ordinal1,1) ) ) ) ) ) ) ) ) )).
fof(d2_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k2_dualsp01(A) = g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A)) ) )).
fof(d2_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A)))))) ) => ( B = k2_dualsp02(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A))),B,C) = k1_dualsp02(A,C) ) ) ) ) )).
fof(d2_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => ( v3_e_siec(A) <=> ( k3_relat_1(u1_e_siec(A),k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(u2_e_siec(A),k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 ) ) ) )).
fof(d2_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) ) => k1_ec_pf_2(A) = a_1_0_ec_pf_2(A) ) )).
fof(d2_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_endalg(A),k1_endalg(A)),k1_endalg(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_endalg(A),k1_endalg(A)),k1_endalg(A)))) ) => ( B = k2_endalg(A) <=> ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),k1_endalg(A)) => ! [D] : ( m2_funct_2(D,u1_struct_0(A),u1_struct_0(A),k1_endalg(A)) => k4_binop_1(k1_endalg(A),B,C,D) = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(d2_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k2_ens_1(A) = a_1_1_ens_1(A) ) )).
fof(d2_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ( r1_entropy1(A,B) <=> ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => ( C = B | k1_funct_1(A,C) = k5_numbers ) ) ) ) ) ) ) )).
fof(d2_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( E = k2_enumset1(A,B,C,D) <=> ! [F] : ( r2_hidden(F,E) <=> ~ ( F != A & F != B & F != C & F != D ) ) ) )).
fof(d2_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( D = k5_eqrel_1(A,B,C) <=> ( r1_relset_1(A,A,k3_eqrel_1(A,B,C),D) & ! [E] : ( ( v3_relat_2(E) & v8_relat_2(E) & v1_partfun1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_relset_1(A,A,k3_eqrel_1(A,B,C),E) => r1_relset_1(A,A,D,E) ) ) ) ) ) ) ) )).
fof(d2_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( D = k2_equation(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( v3_msualg_1(F,A) & m1_msualg_2(F,A,B) & E = F & m1_msualg_2(C,A,F) ) ) ) ) ) ) )).
fof(d2_euclid,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k2_euclid <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k9_complex1(B) ) ) ) )).
fof(d2_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k2_euclid_3(A) = k2_xcmplx_0(k17_euclid(A),k3_xcmplx_0(k18_euclid(A),k7_complex1)) ) )).
fof(d2_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => k2_euclid_5(A) = k1_funct_1(A,2) ) )).
fof(d2_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k2_euclid_6(A,B,C) = k2_xcmplx_0(k2_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,A)),k12_euclid(k5_algstr_0(k15_euclid(2),C,B))),k12_euclid(k5_algstr_0(k15_euclid(2),A,C))) ) ) ) )).
fof(d2_euclid_7,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => k2_euclid_7(A,B,C) = k1_partfun1(k4_finseq_1(B),k4_finseq_1(B),k4_ordinal1,A,C,B) ) ) )).
fof(d2_euclid_8,axiom,( k3_euclid_8 = k1_euclid_8(k5_numbers,1,k5_numbers) )).
fof(d2_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(A))) => k2_euclid_9(A,B) = B ) ) )).
fof(d2_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ( r3_euclidlp(A,B,C) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k7_euclid(A,k9_euclid(A,B,D),k9_euclid(A,C,E)) = k5_euclid(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d2_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) ) => ( v2_euclmetr(A) <=> v2_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(d2_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v2_exchsort(B,A) <=> ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => ( r2_tarski(A,k9_xtuple_0(B)) & r1_ordinal1(A,C) ) ) ) ) ) )).
fof(d2_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v2_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k2_extpro_1(A,B,C,D) = k1_funct_1(k3_funct_2(u1_compos_1(B),k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B))),k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B)))),u1_extpro_1(A,B),C),D) ) ) ) ) )).
fof(d2_extreal1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( B = k4_extreal1(A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & B = k12_supinf_2(C,k3_finseq_1(A)) & k12_supinf_2(C,k5_numbers) = k1_supinf_2 & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(A),D) => k12_supinf_2(C,k1_nat_1(D,1)) = k3_supinf_2(k12_supinf_2(C,D),k12_supinf_2(A,k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(d2_facirc_1,axiom,( ! [A] : ( v1_facirc_1(A) <=> ? [B] : ( v1_xtuple_0(B) & r2_hidden(B,A) ) ) )).
fof(d2_fcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_fcont_1(A) <=> ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k1_relset_1(k1_numbers,A)) => r1_fcont_1(A,B) ) ) ) ) )).
fof(d2_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v2_fdiff_1(A) <=> ( v1_partfun1(A,k1_numbers) & ! [B] : ( ( v1_funct_1(B) & v9_ordinal1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,B),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,B,A))) & k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,B),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,B,A))) = k5_numbers ) ) ) ) ) )).
fof(d2_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r2_fdiff_3(A,B) <=> ( r2_hidden(B,k1_relset_1(k1_numbers,A)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_tarski(k10_xtuple_0(C),k9_subset_1(k1_numbers,k3_limfunc1(B),k1_relset_1(k1_numbers,A))) & v2_comseq_2(C) & k1_seq_2(C) = B ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) & k1_funct_1(A,B) = k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) ) )).
fof(d2_fdiff_9,axiom,( k2_fdiff_9 = k6_rfunct_1(k1_numbers,k1_numbers,k16_sin_cos) )).
fof(d2_ff_siec,axiom,( ! [A] : k2_ff_siec(A) = k1_ff_siec(A,k1_xboole_0) )).
fof(d2_fib_fusc,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k2_fib_fusc(A) <=> ~ ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( A = C & B = k2_pre_ff(C) ) ) & ~ ( ~ m1_subset_1(A,k4_ordinal1) & B = k5_numbers ) ) ) ) ) )).
fof(d2_fib_num,axiom,( k2_fib_num = k7_xcmplx_0(k6_xcmplx_0(1,k3_square_1(5)),2) )).
fof(d2_fib_num2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( A = k2_fib_num2 <=> ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_funct_2(k4_ordinal1,k4_ordinal1,A,B) = k1_pre_ff(B) ) ) ) )).
fof(d2_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k3_fib_num3(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & D = k2_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),E,C)) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),E,k5_numbers) = k2_fib_num3(A,B) & ! [F] : ( v7_ordinal1(F) => k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),E,k1_nat_1(F,1)) = k2_fib_num3(k3_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),E,F)),k1_nat_1(k2_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),E,F)),k3_domain_1(k4_ordinal1,k4_ordinal1,k8_nat_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),E,F)))) ) ) ) ) ) ) ) )).
fof(d2_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_filter_0(A,B) = a_2_0_filter_0(A,B) ) ) )).
fof(d2_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( m2_filter_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(k1_domain_1(A,A,D,E),B) & r2_tarski(k1_domain_1(A,A,F,G),B) ) => r2_tarski(k1_domain_1(A,A,k4_binop_1(A,C,D,F),k4_binop_1(A,C,E,G)),B) ) ) ) ) ) ) ) ) ) )).
fof(d2_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_filter_2(A,B) = B ) ) )).
fof(d2_fin_topo,axiom,( ! [A] : k3_fin_topo(A) = k1_tarski(k4_tarski(A,A)) )).
fof(d2_finance2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( C = k2_finance2(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k9_setfam_1(k1_numbers),C,D) = k1_seq_4(k3_xcmplx_0(k3_xcmplx_0(B,A),k5_xcmplx_0(k1_nat_1(D,1)))) ) ) ) ) ) )).
fof(d2_finseq_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_finseq_1(A) <=> ? [B] : ( v7_ordinal1(B) & k9_xtuple_0(A) = k2_finseq_1(B) ) ) ) )).
fof(d2_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : k2_finseq_2(A,B) = k7_funcop_1(k1_finseq_1(A),B) ) )).
fof(d2_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k2_finseq_3(A,B) = k3_relat_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k1_relset_1(k4_ordinal1,B),k1_tarski(A))),B) ) ) )).
fof(d2_finseq_4,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r2_finseq_4(A,B) <=> k1_card_1(k10_relat_1(A,B)) = 1 ) ) )).
fof(d2_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => k2_finseq_5(A,B,C) = k8_finseq_1(A,k12_finseq_1(A,C),k2_rfinseq(A,k4_finseq_4(B,C),B)) ) ) ) )).
fof(d2_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( ( r2_tarski(C,k10_xtuple_0(B)) => k1_finseq_6(A,B,C) = k8_finseq_1(A,k2_finseq_5(A,B,C),k2_rfinseq(A,1,k1_finseq_5(A,B,C))) ) & ( ~ r2_tarski(C,k10_xtuple_0(B)) => k1_finseq_6(A,B,C) = B ) ) ) ) ) )).
fof(d2_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k2_finseq_7(A,B,C,D) = k1_finseq_7(A,k1_finseq_7(A,B,C,k7_partfun1(A,B,D)),D,k7_partfun1(A,B,C)) ) & ( ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k2_finseq_7(A,B,C,D) = B ) ) ) ) ) ) )).
fof(d2_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( D = k3_finseq_8(A,B,C) <=> ( r1_xxreal_0(k3_finseq_1(D),k3_finseq_1(C)) & D = k2_finseq_8(A,C,1,k3_finseq_1(D)) & D = k2_finseq_8(A,B,k1_nat_1(k7_nat_d(k3_finseq_1(B),k3_finseq_1(D)),1),k3_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(C)) & k2_finseq_8(A,C,1,E) = k2_finseq_8(A,B,k1_nat_1(k7_nat_d(k3_finseq_1(B),E),1),k3_finseq_1(B)) ) => r1_xxreal_0(E,k3_finseq_1(D)) ) ) ) ) ) ) ) ) )).
fof(d2_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_finseqop(B,A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & r1_finseqop(A,C,B) ) ) ) ) )).
fof(d2_finset_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_finset_1(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => v1_finset_1(B) ) ) ) )).
fof(d2_finsub_1,axiom,( ! [A] : ( v2_finsub_1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k3_xboole_0(B,C),A) ) ) )).
fof(d2_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( ( r2_tarski(C,k1_fin_topo(A,B)) & r2_tarski(C,k3_subset_1(u1_struct_0(A),D)) ) => k2_fintopo2(A,B,C,D) = k7_margrel1 ) & ( ~ ( r2_tarski(C,k1_fin_topo(A,B)) & r2_tarski(C,k3_subset_1(u1_struct_0(A),D)) ) => k2_fintopo2(A,B,C,D) = k6_margrel1 ) ) ) ) ) ) )).
fof(d2_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ( C = k2_fintopo3(A,B) <=> ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = k1_funct_1(C,D) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k1_nat_1(D,1)) = k9_fin_topo(A,E) ) ) ) & k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k5_numbers) = B ) ) ) ) ) )).
fof(d2_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( v7_ordinal1(D) => ( r2_fintopo4(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r2_tarski(E,u1_struct_0(A)) & F = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) ) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k10_fintopo3(A,k5_numbers,E)),k10_fintopo3(B,D,F)) ) ) ) ) ) ) ) ) )).
fof(d2_fintopo5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B))))) => ( C = k2_fintopo5(A,B) <=> ! [D] : ( r2_tarski(D,k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B))) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( D = k4_tarski(E,F) => k1_fintopo5(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),C,D) = k2_zfmisc_1(k1_fintopo5(k2_finseq_1(A),k2_finseq_1(A),k1_fintopo4(A),E),k1_fintopo5(k2_finseq_1(B),k2_finseq_1(B),k1_fintopo4(B),F)) ) ) ) ) ) ) ) ) )).
fof(d2_fintopo6,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( m1_fintopo6(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r2_tarski(C,u1_struct_0(B)) => k1_fin_topo(B,C) = k3_xboole_0(k9_relat_1(u1_orders_2(A),C),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(d2_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => ( D = k7_flang_1(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(k3_catalan2(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k3_catalan2(A))))) & D = k5_flang_1(k3_catalan2(A),E,C) & k5_flang_1(k3_catalan2(A),E,k5_numbers) = k4_flang_1(A,k2_flang_1(A)) & ! [F] : ( v7_ordinal1(F) => k5_flang_1(k3_catalan2(A),E,k1_nat_1(F,1)) = k6_flang_1(A,k5_flang_1(k3_catalan2(A),E,F),B) ) ) ) ) ) ) )).
fof(d2_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A,B) = k3_tarski(a_2_0_flang_2(A,B)) ) )).
fof(d2_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_3(A,B) = k3_tarski(a_2_0_flang_3(A,B)) ) )).
fof(d2_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( v2_fomodel0(C,A,B) <=> v1_fomodel0(B,k2_zfmisc_1(C,A)) ) ) ) )).
fof(d2_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k2_fomodel1(A) = k8_relset_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers,u1_fomodel1(A),k6_domain_1(k4_ordinal1,k5_numbers)) ) )).
fof(d2_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v7_fomodel1(C,A) => ( m1_fomodel2(D,A,B,C) <=> ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k5_margrel1))) ) ) ) & ( ~ v7_fomodel1(C,A) => ( m1_fomodel2(D,A,B,C) <=> ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),B))) ) ) ) ) ) ) ) )).
fof(d2_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))))) ) => ( C = k2_fomodel3(A,B) <=> ! [D] : ( m2_subset_1(D,k3_finseq_2(k3_finseq_2(k1_fomodel1(A))),k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) => k3_funct_2(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),C,D) = k1_fomodel3(A,B,D) ) ) ) ) ) )).
fof(d2_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v1_fomodel4(B,A) <=> r2_hidden(B,k1_fomodel4(A)) ) ) )).
fof(d2_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( v1_frechet(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( v1_tops_2(C,A) & v1_yellow_8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v4_card_3(C) ) ) ) ) )).
fof(d2_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k2_frechet(A,B) = k6_domain_1(u1_struct_0(A),C) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k2_frechet2(A,B) <=> r1_frechet(A,B,C) ) ) ) ) ) )).
fof(d2_freealg,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_relat_1(A) <=> ~ r2_tarski(k5_numbers,k10_xtuple_0(A)) ) ) )).
fof(d2_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k2_fscirc_1(A,B,C) = k10_facirc_1(A,B,C,k1_facirc_1) )).
fof(d2_fscirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v3_msualg_1(D,k1_fscirc_2(A,B,C)) & v4_msafree2(D,k1_fscirc_2(A,B,C)) & v4_circcomb(D,k1_fscirc_2(A,B,C)) & v6_circcomb(D,k1_fscirc_2(A,B,C)) & l3_msualg_1(D,k1_fscirc_2(A,B,C)) ) => ( D = k2_fscirc_2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & ? [G] : ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & k1_fscirc_2(A,B,C) = k1_funct_1(E,A) & D = k1_funct_1(F,A) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(G,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ( ( I = k1_funct_1(E,H) & J = k1_funct_1(F,H) & K = k1_funct_1(G,H) ) => ( k1_funct_1(E,k1_nat_1(H,1)) = k2_circcomb(I,k8_fscirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(F,k1_nat_1(H,1)) = k3_circcomb(I,k8_fscirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K),J,k9_fscirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(G,k1_nat_1(H,1)) = k6_fscirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( E = k2_fsm_1(A,B,C,D) <=> ( k1_funct_1(E,1) = C & k3_finseq_1(E) = k1_nat_1(k3_finseq_1(D),1) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(D)) & ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ~ ( G = k1_funct_1(D,F) & H = k1_funct_1(E,F) & I = k1_funct_1(E,k1_nat_1(F,1)) & k1_fsm_1(A,B,G,H) = I ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,A) => ( r1_fsm_2(A,B,C,D) <=> ? [E] : ( m2_finseq_1(E,A) & r1_fsm_1(A,B,k8_finseq_1(A,k12_finseq_1(A,D),E),u2_fsm_1(A,B),C) ) ) ) ) ) ) )).
fof(d2_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k2_ftacell1(A,B,C,D,E) = k3_circcomb(k13_gfacirc1(A,B,C),k13_gfacirc1(k12_gfacirc1(A,B,C),E,D),k14_gfacirc1(A,B,C),k14_gfacirc1(k12_gfacirc1(A,B,C),E,D)) )).
fof(d2_funcop_1,axiom,( ! [A] : ! [B] : k2_funcop_1(A,B) = k2_zfmisc_1(A,k1_tarski(B)) )).
fof(d2_funcsdom,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) => ( B = k6_funcsdom(A) <=> ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,B,C,D),k3_funcsdom(k1_numbers,A,k11_binop_2,C,D)) ) ) ) ) )).
fof(d2_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( r2_hidden(B,k9_xtuple_0(A)) => ( C = k1_funct_1(A,B) <=> r2_hidden(k4_tarski(B,C),A) ) ) & ( ~ r2_hidden(B,k9_xtuple_0(A)) => ( C = k1_funct_1(A,B) <=> C = k1_xboole_0 ) ) ) ) )).
fof(d2_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( C = k1_funct_2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & D = E & k9_xtuple_0(E) = A & r1_tarski(k10_xtuple_0(E),B) ) ) ) )).
fof(d2_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k3_funct_3(A) <=> ( k9_xtuple_0(B) = k1_zfmisc_1(k10_xtuple_0(A)) & ! [C] : ( r1_tarski(C,k10_xtuple_0(A)) => k1_funct_1(B,C) = k8_relat_1(A,C) ) ) ) ) ) )).
fof(d2_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k2_funct_4(A) <=> ( ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) <=> ? [D] : ? [E] : ( C = k4_tarski(E,D) & r2_hidden(k4_tarski(D,E),k9_xtuple_0(A)) ) ) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),k9_xtuple_0(A)) => k1_binop_1(B,D,C) = k1_binop_1(A,C,D) ) ) ) ) ) )).
fof(d2_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k2_funct_5(A) <=> ( ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) <=> ? [D] : ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ? [F] : ( C = k4_tarski(D,F) & r2_hidden(D,k9_xtuple_0(A)) & E = k1_funct_1(A,D) & r2_hidden(F,k9_xtuple_0(E)) ) ) ) & ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_hidden(C,k9_xtuple_0(B)) & D = k1_funct_1(A,k1_xtuple_0(C)) ) => k1_funct_1(B,C) = k1_funct_1(D,k2_xtuple_0(C)) ) ) ) ) ) ) )).
fof(d2_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k1_funct_6(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k9_xtuple_0(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d2_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( r1_funct_7(A,B,C) <=> k5_relat_1(A,k6_subset_1(k9_xtuple_0(A),C)) = k5_relat_1(B,k6_subset_1(k9_xtuple_0(B),C)) ) ) ) )).
fof(d2_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)))) ) => ( v2_functor0(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & r8_binop_1(A,A,k2_zfmisc_1(B,B),C,k1_functor0(A,A,k2_zfmisc_1(B,B),k16_funct_3(A,A,B,B,D,D))) ) ) ) )).
fof(d2_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ! [D] : ( m2_functor0(D,A,B) => ( r1_functor2(A,B,C,D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(A)) ) => ( m1_functor2(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => m1_subset_1(k1_funct_1(E,F),k1_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,D,F))) ) ) ) ) ) ) ) ) )).
fof(d2_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,B,C) & m2_functor0(D,B,C) ) => ! [E] : ( ( v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => ! [F] : ( ( v15_functor0(F,A,B) & m2_functor0(F,A,B) ) => ! [G] : ( m1_functor2(G,B,C,D,E) => ( r1_functor2(B,C,D,E) => ! [H] : ( m1_functor2(H,A,C,k1_functor3(A,B,C,F,D),k1_functor3(A,B,C,F,E)) => ( H = k6_functor3(A,B,C,D,E,F,G) <=> ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k1_funct_1(H,I) = k2_functor2(B,C,D,E,G,k3_functor0(A,B,F,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_fuzzy_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => r1_xxreal_0(k3_funct_2(A,k1_numbers,B,D),k3_funct_2(A,k1_numbers,C,D)) ) ) ) ) ) )).
fof(d2_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k2_fuzzy_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k1_numbers,D,E) = k4_real_1(k3_funct_2(A,k1_numbers,B,E),k3_funct_2(A,k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d2_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ! [G] : ( ( r2_hidden(F,A) & r2_hidden(G,C) ) => ! [H] : ( ( v5_relat_1(H,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(H) & v1_funct_2(H,B,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( H = k2_fuzzy_4(A,B,C,D,E,F,G) <=> ! [I] : ( m1_subset_1(I,B) => k1_funct_1(H,I) = k3_xxreal_0(k1_funct_1(D,k4_tarski(F,I)),k1_funct_1(E,k4_tarski(I,G))) ) ) ) ) ) ) ) ) ) )).
fof(d2_fvaluat1,axiom,( ! [A] : ( v2_membered(A) => ( ? [B] : ( v2_xxreal_0(B) & v1_fvaluat1(B) & r2_hidden(B,A) ) => ! [B] : ( ( v2_xxreal_0(B) & v1_fvaluat1(B) ) => ( B = k1_fvaluat1(A) <=> ( r2_hidden(B,A) & ! [C] : ( ( v2_xxreal_0(C) & v1_fvaluat1(C) ) => ( r2_hidden(C,A) => r1_xxreal_0(B,C) ) ) ) ) ) ) ) )).
fof(d2_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => k2_fvsum_1(A) = k7_finseqop(u1_struct_0(A),u1_algstr_0(A),k6_partfun1(u1_struct_0(A)),k4_vectsp_1(A)) ) )).
fof(d2_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_gate_5(A,B,C,D) = k10_gate_1(k2_gate_1(B,C),k2_gate_1(A,D),k1_xboole_0) )).
fof(d2_gaussint,axiom,( k1_gaussint = a_0_0_gaussint )).
fof(d2_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_gcd_1(B,A) <=> r1_gcd_1(A,B,k5_struct_0(A)) ) ) ) )).
fof(d2_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_finseq_1(B,k3_card_3(A)) => ! [C] : ( m2_finseq_1(C,k3_card_3(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_genealg1(A,B,C,D) = k8_finseq_1(k3_card_3(A),k17_finseq_1(k3_card_3(A),D,B),k2_rfinseq(k3_card_3(A),D,C)) ) ) ) ) )).
fof(d2_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k1_geomtrap(A,B,C) <=> k3_rlvect_1(A,D,D) = k3_rlvect_1(A,B,C) ) ) ) ) ) )).
fof(d2_gfacirc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(1,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1,k5_margrel1),k5_margrel1))) ) => ( A = k2_gfacirc1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => k1_funct_1(A,k10_binarith(k5_margrel1,B)) = B ) ) ) )).
fof(d2_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v3_msualg_1(D,k1_gfacirc2(A,B,C)) & v4_msafree2(D,k1_gfacirc2(A,B,C)) & v4_circcomb(D,k1_gfacirc2(A,B,C)) & v6_circcomb(D,k1_gfacirc2(A,B,C)) & l3_msualg_1(D,k1_gfacirc2(A,B,C)) ) => ( D = k2_gfacirc2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & ? [G] : ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & k1_gfacirc2(A,B,C) = k1_funct_1(E,A) & D = k1_funct_1(F,A) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(G,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ( ( I = k1_funct_1(E,H) & J = k1_funct_1(F,H) & K = k1_funct_1(G,H) ) => ( k1_funct_1(E,k1_nat_1(H,1)) = k2_circcomb(I,k13_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(F,k1_nat_1(H,1)) = k3_circcomb(I,k13_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K),J,k14_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(G,k1_nat_1(H,1)) = k9_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_glib_000,axiom,( k2_glib_000 = 2 )).
fof(d2_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m2_finseq_1(B,k7_glib_000(A)) => ( m2_glib_001(B,A) <=> ? [C] : ( m2_finseq_1(C,k6_glib_000(A)) & k3_finseq_1(C) = k1_nat_1(k3_finseq_1(B),1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => r1_glib_000(A,k1_funct_1(C,D),k1_funct_1(C,k1_nat_1(D,1)),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d2_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v2_glib_002(A) <=> ! [B] : ( m3_glib_001(B,A) => ~ v8_glib_001(B,A) ) ) ) )).
fof(d2_glib_003,axiom,( k3_glib_003 = 6 )).
fof(d2_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v2_glib_001(B,A) & v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ! [D] : ( r2_glib_004(A,B,C,D) <=> ( r1_glib_001(A,C,D,B) & ! [E] : ( ( v2_glib_001(E,A) & v5_glib_001(E,A) & m3_glib_001(E,A) ) => ( r1_glib_001(A,C,D,E) => r1_xxreal_0(k10_glib_003(A,B),k10_glib_003(A,E)) ) ) ) ) ) ) )).
fof(d2_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : ( r1_glib_005(A,B,C,D) <=> ( m1_subset_1(C,k6_glib_000(A)) & m1_subset_1(D,k6_glib_000(A)) & ! [E] : ( r2_tarski(E,k7_glib_000(A)) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,E)) & r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(k5_glib_003(A),E)) ) ) & ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ~ ( E != C & E != D & k2_uproots(k26_glib_000(A,E),k5_relat_1(B,k26_glib_000(A,E))) != k2_uproots(k27_glib_000(A,E),k5_relat_1(B,k27_glib_000(A,E))) ) ) ) ) ) ) )).
fof(d2_goboard1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k2_goboard1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,C)) ) ) ) ) ) ) )).
fof(d2_goboard2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k2_goboard2(A) = k1_goboard2(k26_seq_4(k1_goboard1(A)),k26_seq_4(k2_goboard1(A))) ) )).
fof(d2_goboard4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_goboard4(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => ( r1_xxreal_0(B,k1_funct_1(A,D)) & r1_xxreal_0(k1_funct_1(A,D),C) ) ) ) ) ) ) ) )).
fof(d2_goboard5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) => ( r1_xxreal_0(k1_matrix_0(A),B) | k2_goboard5(A,B) = a_2_3_goboard5(A,B) ) ) & ( r1_xxreal_0(k1_matrix_0(A),B) => k2_goboard5(A,B) = a_2_4_goboard5(A,B) ) & ~ ( ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k1_matrix_0(A),B) ) & ~ r1_xxreal_0(k1_matrix_0(A),B) & k2_goboard5(A,B) != a_2_5_goboard5(A,B) ) ) ) ) )).
fof(d2_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = k3_goboard9(A) <=> ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),B) & r1_tarski(k1_tops_1(k15_euclid(2),k4_goboard5(A,1)),B) ) ) ) ) )).
fof(d2_gobrd10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_gobrd10(A,B,C,D) <=> ( ( r1_gobrd10(A,C) & B = D ) | ( A = C & r1_gobrd10(B,D) ) ) ) ) ) ) ) )).
fof(d2_gobrd13,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( D = k1_gobrd13(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(B)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,F) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,G,H) & ~ ( E = G & k1_nat_1(F,1) = H & D = k3_goboard5(B,E,F) ) & ~ ( k1_nat_1(E,1) = G & F = H & D = k3_goboard5(B,E,k7_nat_d(F,1)) ) & ~ ( E = k1_nat_1(G,1) & F = H & D = k3_goboard5(B,G,H) ) & ~ ( E = G & F = k1_nat_1(H,1) & D = k3_goboard5(B,k7_nat_d(E,1),H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_goedcpuc(B,A) <=> ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ r2_hidden(k4_tarski(B,k1_domain_1(k3_qc_lang1(A),k3_cqc_lang(A),D,C)),k1_qc_lang1(A)) ) ) ) ) )).
fof(d2_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v2_goedelcp(B,A) <=> ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ? [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) & r1_henmodel(A,B,k9_cqc_lang(A,k6_cqc_lang(A,k12_cqc_lang(A,C,D)),k4_substut2(A,D,C,E))) ) ) ) ) ) ) )).
fof(d2_gr_cy_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => k1_gr_cy_1(A) = k1_finsop_1(k4_numbers,A,k20_binop_2) ) )).
fof(d2_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_gr_cy_3(A) <=> ( v7_ordinal1(k1_nat_1(k3_xcmplx_0(2,A),1)) & v1_int_2(k1_nat_1(k3_xcmplx_0(2,A),1)) ) ) ) )).
fof(d2_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k3_graph_2(A,B) = k7_finseq_1(A,k1_graph_2(B,2,k3_finseq_1(B))) ) ) )).
fof(d2_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(A))) => ( D = k3_graph_3(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,u4_struct_0(A)) & r2_tarski(E,C) & k1_funct_1(u1_graph_1(A),E) = B ) ) ) ) ) ) )).
fof(d2_graph_3a,axiom,( k2_graph_3a = k5_enumset1(10,20,30,40,50,60,70) )).
fof(d2_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => k2_graph_5(A,B) = a_2_2_graph_5(A,B) ) ) )).
fof(d2_graphsp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_funct_2(A,A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_funct_2(A,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_funct_2(A,A)))) ) => ( C = k5_graphsp(A,B) <=> ( k8_nat_1(k1_funct_2(A,A),C,k5_numbers) = k11_cqc_sim1(A) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_funct_2(A,A),C,k1_nat_1(D,1)) = k3_graphsp(A,k8_nat_1(k1_funct_2(A,A),C,D),B) ) ) ) ) ) )).
fof(d2_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k2_grcat_1(A,B) = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),k1_grcat_1(A,B)) ) ) )).
fof(d2_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_grnilp_1(A) <=> ? [B] : ( m2_finseq_1(B,k2_grnilp_1(A)) & ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & k1_funct_1(B,1) = k7_group_2(A) & k1_funct_1(B,k3_finseq_1(B)) = k6_group_2(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k2_xcmplx_0(C,1),k4_finseq_1(B)) ) => ! [D] : ( ( v15_algstr_0(D) & v1_group_3(D,A) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,A) & m1_group_2(E,A) ) => ( ( D = k1_funct_1(B,C) & E = k1_funct_1(B,k2_xcmplx_0(C,1)) ) => ( m1_group_6(E,A,D) & m1_group_6(k5_group_6(D,k1_group_6(A,D,E)),k5_group_6(A,E),k10_group_5(k5_group_6(A,E))) ) ) ) ) ) ) ) ) ) )).
fof(d2_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) => k3_groeb_1(A,B) = a_2_0_groeb_1(A,B) ) ) )).
fof(d2_groeb_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( D = k2_groeb_2(A,B,C) <=> ! [E] : k1_funct_1(D,E) = k4_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) )).
fof(d2_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) => ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k15_pre_poly(A))) ) => ( F = k3_groeb_3(A,B,C,D,E) <=> ( r1_tarski(F,k3_polynom1(k15_pre_poly(A),C,D)) & k4_card_1(F) = E & ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & v4_valued_0(H) & v2_pre_poly(H) ) => ( ( r2_tarski(G,F) & r2_tarski(H,k3_polynom1(k15_pre_poly(A),C,D)) & r1_termord(A,B,G,H) ) => r2_tarski(H,F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_group_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( v2_group_1(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = C & k6_algstr_0(A,B,C) = C & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,C,D) = B & k6_algstr_0(A,D,C) = B ) ) ) ) ) ) )).
fof(d2_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_funct_2(u1_struct_0(A),u1_struct_0(A))) & v1_group_10(B,A,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(u1_struct_0(A),u1_struct_0(A))))) ) => ( B = k2_group_10(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_funct_2(u1_struct_0(A),u1_struct_0(A)),B,C) = k1_topgrp_1(A,C) ) ) ) ) )).
fof(d2_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_group_2(C,A) => k2_group_11(A,B,C) = a_3_1_group_11(A,B,C) ) ) ) )).
fof(d2_group_12,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,k2_group_7(A,B)) ) => ( D = k2_group_12(A,B,C) <=> u1_struct_0(D) = k1_group_12(A,B,C) ) ) ) ) ) )).
fof(d2_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( D = k4_group_19(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ( k1_funct_1(C,E) != k1_group_1(B) & r2_hidden(E,A) ) ) ) ) ) ) )).
fof(d2_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(A,B,C) = a_3_0_group_2(A,B,C) ) ) ) )).
fof(d2_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_3(A,B,C) = k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,C),B),C) ) ) ) )).
fof(d2_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k3_group_4(A,B) = k1_finsop_1(u1_struct_0(A),B,u2_algstr_0(A)) ) ) )).
fof(d2_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_5(A,B,C) = k6_algstr_0(A,k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,B),k2_group_1(A,C)),B),C) ) ) ) )).
fof(d2_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ( v7_struct_0(A) <=> ? [B] : u1_struct_0(A) = k1_tarski(B) ) ) )).
fof(d2_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ! [C] : ( ( v15_algstr_0(C) & l3_algstr_0(C) ) => ( C = k2_group_7(A,B) <=> ( u1_struct_0(C) = k4_card_3(k12_pralg_1(A,B)) & ! [D] : ( m1_subset_1(D,k4_card_3(k12_pralg_1(A,B))) => ! [E] : ( m1_subset_1(E,k4_card_3(k12_pralg_1(A,B))) => ! [F] : ~ ( r2_tarski(F,A) & ! [G] : ( ( ~ v2_struct_0(G) & l3_algstr_0(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ~ ( G = k1_funct_1(B,F) & H = k1_binop_1(u2_algstr_0(C),D,E) & k1_funct_1(H,F) = k1_binop_1(u2_algstr_0(G),k1_funct_1(D,F),k1_funct_1(E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( E = k1_group_9(A,B,C,D) <=> ( r1_tarski(D,E) & r1_group_9(A,B,C,E) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) => ( ( r1_group_9(A,B,C,F) & r1_tarski(D,F) ) => r1_tarski(E,F) ) ) ) ) ) ) ) )).
fof(d2_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( v2_group_10(B,A) => ! [C] : ( v7_ordinal1(C) => ( C = k1_groupp_1(A,B) <=> k7_struct_0(B) = k1_newton(A,C) ) ) ) ) ) )).
fof(d2_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_group_2(D,A) => k1_grsolv_1(A,B,C,D) = k5_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D)) ) ) ) ) )).
fof(d2_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_gtarski1(A,B,C,D,E) <=> r2_hidden(k4_tarski(k4_tarski(B,C),k4_tarski(D,E)),u2_gtarski1(A)) ) ) ) ) ) ) )).
fof(d2_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v2_hahnban(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k3_rlvect_1(A,C,D)) = k3_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,C),k3_funct_2(u1_struct_0(A),k1_numbers,B,D)) ) ) ) ) ) )).
fof(d2_hahnban1,axiom,( k2_hahnban1 = k7_complex1 )).
fof(d2_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ! [E] : ( m2_finseq_1(E,k1_zfmisc_1(A)) => ( E = k2_hallmar1(A,B,C,D) <=> ( k4_finseq_1(E) = k4_finseq_1(B) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(E)) => ( ( C = F => k1_funct_1(E,F) = k6_subset_1(k1_funct_1(B,F),k1_tarski(D)) ) & ( C != F => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( ( v5_glib_001(D,A) & m3_glib_001(D,A) ) => ( D = k2_helly(A,B,C) <=> r1_glib_001(A,B,C,D) ) ) ) ) ) )).
fof(d2_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v1_henmodel(B,A) <=> ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( r1_henmodel(A,B,C) & r1_henmodel(A,B,k6_cqc_lang(A,C)) ) ) ) ) ) )).
fof(d2_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( C = k1_hermitan(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),C,D) = k2_complfld(k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),B,D)) ) ) ) ) ) )).
fof(d2_heyting1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_heyting1(A) = A ) )).
fof(d2_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => k2_heyting2(A,B,C) = a_3_0_heyting2(A,B,C) ) ) )).
fof(d2_heyting3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k4_partfun1(k4_ordinal1,k1_tarski(B))) => ( C = k2_heyting3(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ~ ( ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( r1_xxreal_0(E,k3_xcmplx_0(2,A)) & k4_tarski(E,B) = D ) ) & k4_tarski(k3_xcmplx_0(2,A),B) != D ) ) ) ) ) ) )).
fof(d2_hilbasis,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => k2_hilbasis(A,B) = k1_funct_7(k16_pre_poly(A),B,1) ) )).
fof(d2_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k1_hilbert1) & v1_funct_1(B) & v1_partfun1(B,k1_hilbert1) ) => ( B = k2_hilbert3(A) <=> ( k1_funct_1(B,k2_hilbert1) = 1 & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k1_funct_1(B,k1_hilbert2(C)) = k1_funct_1(A,C) ) & ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( k1_funct_1(B,k4_hilbert1(C,D)) = k2_zfmisc_1(k1_funct_1(B,C),k1_funct_1(B,D)) & k1_funct_1(B,k3_hilbert1(C,D)) = k1_funct_2(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(d2_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k2_hilbert4(A) = a_1_1_hilbert4(A) ) )).
fof(d2_huffman1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_trees_3(B,A) => ( B = k2_huffman1(A) <=> ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) => ( ( v1_finset_1(k9_xtuple_0(C)) & v2_bintree1(C) ) <=> r2_tarski(C,B) ) ) ) ) ) )).
fof(d2_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_hurwitz(A,B) = k6_xcmplx_0(k1_algseq_1(A,B),1) ) ) )).
fof(d2_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k2_hurwitz2(A,B) <=> ! [D] : ( ( v7_ordinal1(D) & v1_abian(D) ) => ( k8_nat_1(u1_struct_0(A),C,D) = k4_struct_0(A) & ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => k8_nat_1(u1_struct_0(A),C,E) = k8_nat_1(u1_struct_0(A),B,E) ) ) ) ) ) ) ) )).
fof(d2_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_ideal_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k6_algstr_0(A,C,D),B) ) ) ) ) ) ) )).
fof(d2_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_incproj(A)))) => ( B = k2_incproj(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,u1_struct_0(A)) & r2_hidden(D,k1_incproj(A)) & ? [E] : ( D = E & r2_hidden(C,E) ) ) ) ) ) ) )).
fof(d2_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u4_incsp_1(A)) => ( r2_incsp_1(A,B,C) <=> r2_tarski(k1_domain_1(u1_incsp_1(A),u4_incsp_1(A),B,C),u5_incsp_1(A)) ) ) ) ) )).
fof(d2_index_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_index_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) ) => ( B = k3_index_1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) ) => ( D = k1_funct_1(A,C) => k1_funct_1(B,C) = u1_struct_0(D) ) ) ) ) ) ) ) )).
fof(d2_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( l1_msualg_1(B) => ( m1_instalg1(B,A) <=> r3_pua2mss1(B,A,k6_partfun1(u1_struct_0(B)),k6_partfun1(u4_struct_0(B))) ) ) ) )).
fof(d2_int_1,axiom,( ! [A] : ( v1_int_1(A) <=> r2_hidden(A,k4_numbers) ) )).
fof(d2_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k3_int_2(A,B) <=> ( r1_int_1(C,A) & r1_int_1(C,B) & ! [D] : ( v1_int_1(D) => ( ( r1_int_1(D,A) & r1_int_1(D,B) ) => r1_int_1(D,C) ) ) ) ) ) ) ) )).
fof(d2_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( r1_int_4(A,B) <=> ? [C] : ( m2_finseq_1(C,k4_numbers) & B = k1_rvsum_1(C) & k3_finseq_1(C) = A & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => r2_tarski(k1_funct_1(C,D),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),k7_nat_d(D,1))) ) ) ) ) ) )).
fof(d2_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_5(A,B) <=> ? [C] : ( v1_int_1(C) & k5_int_1(k6_xcmplx_0(k1_pepin(C),A),B) = k5_numbers ) ) ) ) )).
fof(d2_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_int_6(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => ( B = C | r1_int_2(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) ) )).
fof(d2_int_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => k1_int_7(A) = k7_subset_1(k4_ordinal1,k5_card_1(A),k6_domain_1(k4_ordinal1,k5_numbers)) ) ) )).
fof(d2_int_8,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r1_int_8(A,B) <=> ? [C] : ( m2_finseq_1(C,k4_numbers) & k3_finseq_1(C) = k3_finseq_1(k14_finseq_1(k2_int_8(B))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => r2_tarski(k1_funct_1(C,D),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(B),k1_funct_1(k14_finseq_1(k2_int_8(B)),D))) ) ) & A = k2_relset_1(k4_numbers,C) ) ) ) )).
fof(d2_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r2_integr10(A,B,C) <=> ( ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(D,C) => ( r1_xxreal_0(D,B) | ( r1_integra5(k3_integra5(D,C),A) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,A,k3_integra5(D,C))) ) ) ) ) & ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,D) = k4_rcomp_1(B,C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k1_relset_1(k1_numbers,D)) => k1_funct_1(D,E) = k4_integra5(E,C,A) ) ) & r4_limfunc2(D,B) ) ) ) ) ) ) )).
fof(d2_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m1_integr15(D,A,B,C) => k1_integr15(A,B,C,D) = k18_rvsum_1(D) ) ) ) ) )).
fof(d2_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m1_integr16(D,A,B,C) => k3_integr16(A,B,C,D) = k17_rvsum_1(D) ) ) ) ) )).
fof(d2_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( m1_integr18(E,A,B,C,D) => k1_integr18(A,B,C,D,E) = k4_rlvect_1(A,E) ) ) ) ) ) )).
fof(d2_integr1c,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_numbers)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [G] : ( v1_xcmplx_0(G) => ( G = k2_integr1c(A,B,C,D,E,F) <=> ? [H] : ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [I] : ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & H = k3_relat_1(k13_funct_3(C,D),k1_partfun1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_numbers,k2_numbers,k1_numbers,k1_integr1c,k5_comseq_3(k2_numbers,F))) & I = k3_relat_1(k13_funct_3(C,D),k1_partfun1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_numbers,k2_numbers,k1_numbers,k1_integr1c,k6_comseq_3(k2_numbers,F))) & G = k2_xcmplx_0(k4_integra5(A,B,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k2_fdiff_1(C,E)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k2_fdiff_1(D,E)))),k3_xcmplx_0(k4_integra5(A,B,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k2_fdiff_1(C,E)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k2_fdiff_1(D,E)))),k7_complex1)) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_integr20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ( v1_xboole_0(A) => k1_integr20(A) = k5_numbers ) & ( ~ v1_xboole_0(A) => k1_integr20(A) = k3_integra1(A) ) ) ) )).
fof(d2_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v5_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( m1_integra1(B,A) <=> ( r1_tarski(k1_rvsum_1(B),A) & k1_funct_1(B,k3_finseq_1(B)) = k2_seq_4(A) ) ) ) ) )).
fof(d2_integra2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k3_integra2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k6_integra1(A,B,k2_integra2(A,C,E)) ) ) ) ) ) ) )).
fof(d2_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k2_integra3(A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k1_integra3(A,k2_integra2(A,B,D)) ) ) ) ) ) )).
fof(d2_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k2_integra5(A,B) = k12_integra1(A,k1_integra5(B,A)) ) ) )).
fof(d2_integra7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_integra7(A,B,C) <=> r2_tarski(B,k1_integra7(A,C)) ) ) ) )).
fof(d2_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_integra9(A,B,C) <=> k1_integra9(A,B,C) = k5_numbers ) ) ) ) )).
fof(d2_interva1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( m1_interva1(B,A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & B = k1_interva1(A,C,D) ) ) ) ) )).
fof(d2_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k2_irrat_1(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k3_xcmplx_0(k4_newton(A,C),k2_power(C,k4_xcmplx_0(A))) ) ) ) ) )).
fof(d2_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v12_cat_1(C,A,B) => k1_isocat_1(A,B,C) = k2_funct_1(C) ) ) ) ) )).
fof(d2_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k3_isocat_2(A,B,C,D,E) = k1_funct_1(k1_funct_5(D),E) ) ) ) ) ) )).
fof(d2_isomichi,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_isomichi(B,A) <=> k2_pre_topc(A,k1_tops_1(A,B)) = k2_pre_topc(A,B) ) ) ) )).
fof(d2_jgraph_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( B = k2_jgraph_1(A) <=> ( k3_finseq_1(B) = k7_nat_d(k3_finseq_1(A),1) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(A),C) | k1_funct_1(B,C) = k4_tarski(k1_funct_1(A,C),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) ) ) )).
fof(d2_jgraph_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ( E = k2_jgraph_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),E,F) = k19_euclid(k2_xcmplx_0(k3_xcmplx_0(A,k17_euclid(F)),B),k2_xcmplx_0(k3_xcmplx_0(C,k18_euclid(F)),D)) ) ) ) ) ) ) ) )).
fof(d2_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) => ( r1_xxreal_0(k5_numbers,k17_euclid(B)) | k2_jgraph_4(A,B) = k1_rlvect_1(k15_euclid(2),k19_euclid(k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A)))))),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A))),k12_euclid(B)) ) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k5_numbers,k17_euclid(B)) & k2_jgraph_4(A,B) != k1_rlvect_1(k15_euclid(2),k19_euclid(k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A)))))),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A))),k12_euclid(B)) ) & ~ ( ~ ( r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k5_numbers,k17_euclid(B)) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k5_numbers,k17_euclid(B)) ) & k2_jgraph_4(A,B) != B ) ) ) ) )).
fof(d2_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k2_jgraph_6(A,B,C,D) = a_4_1_jgraph_6(A,B,C,D) ) ) ) ) )).
fof(d2_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) => ( B = k4_jordan(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers,B,C) = k6_xcmplx_0(k18_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),C)),k18_euclid(A)) ) ) ) ) )).
fof(d2_jordan1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_jordan1(A) <=> ( k3_subset_1(u1_struct_0(k15_euclid(2)),A) != k1_xboole_0 & ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & k3_subset_1(u1_struct_0(k15_euclid(2)),A) = k4_subset_1(u1_struct_0(k15_euclid(2)),B,C) & r1_xboole_0(B,C) & k7_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),B),B) = k7_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),C),C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A))))) => ( ( D = B & E = C ) => ( v3_connsp_1(D,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A))) & v3_connsp_1(E,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A))) ) ) ) ) ) ) ) ) ) )).
fof(d2_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k2_jordan10(A) = a_1_1_jordan10(A) ) )).
fof(d2_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k2_jordan11(A) <=> ( ~ r1_xxreal_0(k1_matrix_0(k1_jordan8(A,k1_jordan11(A))),B) & r1_tarski(k3_goboard5(k1_jordan8(A,k1_jordan11(A)),k7_nat_d(k3_jordan1h(A,k1_jordan11(A)),1),B),k1_jordan2c(2,A)) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k3_goboard5(k1_jordan8(A,k1_jordan11(A)),k7_nat_d(k3_jordan1h(A,k1_jordan11(A)),1),C),k1_jordan2c(2,A)) => ( r1_xxreal_0(k1_matrix_0(k1_jordan8(A,k1_jordan11(A))),C) | r1_xxreal_0(B,C) ) ) ) ) ) ) ) )).
fof(d2_jordan12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(A))) => ( r2_jordan12(A,B,C) <=> ( r1_jordan12(A,B,C) & r1_jordan12(A,C,B) ) ) ) ) ) )).
fof(d2_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k2_jordan18(A,B) = k19_euclid(k17_euclid(A),k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),B,k6_topreal1(A))))) ) ) )).
fof(d2_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))))) ) => ( B = k2_jordan19(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k9_jordan6(k3_topreal1(2,k1_jordan9(A,C))) ) ) ) ) )).
fof(d2_jordan1e,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k2_jordan1e(A,B) = k2_finseq_5(u1_struct_0(k15_euclid(2)),k1_finseq_6(u1_struct_0(k15_euclid(2)),k1_jordan9(A,B),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))) ) ) )).
fof(d2_jordan1h,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k3_jordan1h(A,B) = k1_nat_1(k11_newton(2,k7_nat_d(B,1)),2) ) ) )).
fof(d2_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k5_jordan1k(A,B,C) = k1_jordan1k(A,k6_domain_1(u1_struct_0(k15_euclid(A)),B),C) ) ) ) )).
fof(d2_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ( r2_jordan20(A,B,C,D,E) <=> ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & k17_euclid(D) = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & ~ r1_xxreal_0(k17_euclid(F),E) & r1_jordan5c(A,B,C,F,D) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan5c(A,B,C,F,G) & r1_jordan5c(A,B,C,G,D) ) => r1_xxreal_0(E,k17_euclid(G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k1_jordan21(A) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),2),k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),A,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),2)))))) ) )).
fof(d2_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v2_jordan23(A) <=> ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(A),B) & k1_funct_1(A,B) = k1_funct_1(A,k1_nat_1(B,1)) ) ) ) ) )).
fof(d2_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r1_jordan2c(A,B,C) <=> ( r3_connsp_1(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B),C) & v9_rltopsp1(C,k15_euclid(A)) ) ) ) ) ) )).
fof(d2_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_jordan3(A,B,C) <=> ( v4_topreal1(A) & k1_funct_1(A,1) = B & k1_funct_1(A,k3_finseq_1(A)) = C ) ) ) ) ) )).
fof(d2_jordan4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_jordan4(A,B,C,D) <=> ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(A,D) & r1_xxreal_0(1,k3_finseq_1(B)) & ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_funct_1(B,E) = k1_funct_1(A,k1_jordan4(k7_nat_d(k2_xcmplx_0(C,E),1),A)) ) ) ) ) ) ) ) ) )).
fof(d2_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),A,B),k15_euclid(2)) & r1_topreal1(k15_euclid(2),C,D,A) ) => ( r1_xboole_0(A,B) | ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k2_jordan5c(A,B,C,D) <=> ( r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(2)),A,B)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [G] : ( v1_xreal_0(G) => ( ( v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D & k1_funct_1(F,G) = E & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) ) => ! [H] : ( v1_xreal_0(H) => ~ ( r1_xxreal_0(H,1) & ~ r1_xxreal_0(H,G) & r2_tarski(k1_funct_1(F,H),B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k2_jordan5d(A) <=> ( r2_hidden(k4_tarski(1,B),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,B) = k19_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d2_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( D = k2_jordan6(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( E = a_2_1_jordan6(B,C) => D = k1_jordan5c(A,E,B,C) ) ) ) ) ) ) ) )).
fof(d2_knaster,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v6_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => k1_knaster(A,B) = k1_setfam_1(a_2_0_knaster(A,B)) ) )).
fof(d2_kolmog01,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(C)))) ) => ( m1_kolmog01(D,A,B,C) <=> ! [E] : ( r2_tarski(E,A) => ( ~ v1_xboole_0(k13_prob_1(B,A,C,D,E)) & v1_prob_1(k13_prob_1(B,A,C,D,E),B) & v4_prob_1(k13_prob_1(B,A,C,D,E),B) & m1_subset_1(k13_prob_1(B,A,C,D,E),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ) ) ) ) )).
fof(d2_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( C = k4_kurato_0(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & C = k2_kurato_0(A,D) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k1_kurato_0(A,k7_nat_1(k9_setfam_1(A),B,E)) ) ) ) ) ) )).
fof(d2_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_kurato_1(A,B) = k2_xboole_0(k5_enumset1(B,k2_pre_topc(A,B),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))))))),k5_enumset1(k3_subset_1(u1_struct_0(A),B),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)))))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))))))) ) ) )).
fof(d2_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k2_kurato_2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( m2_valued_0(E,k9_setfam_1(u1_struct_0(A)),B) & r2_hidden(D,k1_kurato_2(A,E)) ) ) ) ) ) ) )).
fof(d2_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_numbers,k6_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k6_ordinal1(A)))) ) => ( B = k1_lagra4sq(A) <=> ! [C] : ( m1_subset_1(C,k4_numbers) => k3_funct_2(k4_numbers,k6_ordinal1(A),B,C) = k5_int_1(C,A) ) ) ) ) )).
fof(d2_lang1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => k1_lang1(A) = a_1_0_lang1(A) ) )).
fof(d2_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,B,C) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( m2_finseq_1(F,D) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,D,B,C) & m2_finseq_1(G,k3_finseq_2(D)) ) => ( ( k3_finseq_1(F) = k3_finseq_1(E) => ( G = k3_laplace(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = k3_finseq_1(E) & k1_matrix_0(G) = k1_matrix_0(E) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( r2_hidden(k4_tarski(H,I),k2_matrix_0(E)) => ( ( I != A => k3_matrix_0(D,G,H,I) = k3_matrix_0(D,E,H,I) ) & ( I = A => k3_matrix_0(D,G,H,A) = k1_funct_1(F,H) ) ) ) ) ) ) ) ) & ( k3_finseq_1(F) != k3_finseq_1(E) => ( G = k3_laplace(A,B,C,D,E,F) <=> G = E ) ) ) ) ) ) ) ) ) ) )).
fof(d2_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( C = k2_latsubgr(A,B) <=> u1_struct_0(C) = k6_setfam_1(u1_struct_0(A),k7_relset_1(k1_group_3(A),k9_setfam_1(u1_struct_0(A)),k1_latsubgr(A),B)) ) ) ) ) )).
fof(d2_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( C = k1_latsum_1(A,B) <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u1_orders_2(C) = k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k4_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))) ) ) ) ) ) )).
fof(d2_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v2_lattad_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,k1_lattices(A,B,C),C) = C ) ) ) ) )).
fof(d2_lattice2,axiom,( ! [A] : ( l3_lattices(A) => k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) ) )).
fof(d2_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k3_lattice3(A) = g1_orders_2(u1_struct_0(A),k2_lattice3(A)) ) )).
fof(d2_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r1_filter_1(A,B) <=> ? [C] : ( m1_lattice4(C,A,B) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d2_lattice5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_lattice3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattice3(A,B,D) => r1_orders_2(A,D,C) ) ) ) ) ) ) )).
fof(d2_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) => k2_lattice6(A,B) = a_2_1_lattice6(A,B) ) ) )).
fof(d2_lattice7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => ! [D] : ( ( ~ v1_xboole_0(D) & v6_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( m1_lattice7(D,A,B,C) <=> ( r2_tarski(B,D) & r2_tarski(C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) => ( r3_orders_2(A,B,E) & r3_orders_2(A,E,C) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_lattice8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_lattice8(A,B) <=> ? [C] : ( ~ v1_zfmisc_1(C) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k1_lattice5(C))) & v19_waybel_0(D,A,k1_lattice5(C)) & v20_waybel_0(D,A,k1_lattice5(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_lattice5(C))))) & v2_funct_1(D) & v1_lattice8(k1_yellow_2(A,k1_lattice5(C),D)) & ? [E] : ( v1_partfun1(E,C) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,C))) & r2_tarski(E,u1_struct_0(k1_yellow_2(A,k1_lattice5(C),D))) & E != k6_partfun1(C) ) & r1_xxreal_0(k2_lattice5(C,k1_yellow_2(A,k1_lattice5(C),D)),B) ) ) ) ) ) )).
fof(d2_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k1_latticea(A) = a_1_0_latticea(A) ) )).
fof(d2_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,C) = k4_binop_1(u1_struct_0(A),u1_lattices(A),B,C) ) ) ) )).
fof(d2_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k1_lexbfs(A,B) <=> ( k9_xtuple_0(C) = k2_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k2_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => k1_funct_1(C,D) = k2_xboole_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d2_lfuzzy_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_lfuzzy_0(A) <=> ( v1_lfuzzy_0(A) & ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & r1_xxreal_0(B,C) & u1_struct_0(A) = k1_rcomp_1(B,C) ) ) ) ) ) )).
fof(d2_limfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => k2_limfunc1(A) = k2_xxreal_1(A,k1_xxreal_0) ) )).
fof(d2_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r2_limfunc2(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,C) & ~ r1_xxreal_0(B,D) & r2_hidden(D,k1_relset_1(k1_numbers,A)) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(C) & k1_seq_2(C) = B & r1_tarski(k2_relset_1(k1_numbers,C),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) => v1_limfunc1(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d2_limfunc3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r2_limfunc3(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,C) & ~ r1_xxreal_0(D,B) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(B,E) & r2_hidden(E,k9_xtuple_0(A)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,B) & r2_hidden(F,k9_xtuple_0(A)) ) ) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(C) & k1_seq_2(C) = B & r1_tarski(k10_xtuple_0(C),k6_subset_1(k9_xtuple_0(A),k1_tarski(B))) ) => v1_limfunc1(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d2_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) ) => k1_lmod_6(A,B,C) = C ) ) ) )).
fof(d2_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k1_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))))) ) => ( C = k3_lopban_1(A,B) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_funct_2(E,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,A) => k1_funct_1(k1_funct_1(C,k4_tarski(D,E)),F) = k1_rlvect_1(B,k3_funct_2(A,u1_struct_0(B),E,F),D) ) ) ) ) ) ) ) )).
fof(d2_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => k3_lopban_2(A,B,C) = k1_lopban_2(A,k13_lopban_1(A,A,B),k13_lopban_1(A,A,C)) ) ) ) )).
fof(d2_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_lopban_3(A,B) = k5_normsp_1(A,k1_bhsp_4(A,B)) ) ) )).
fof(d2_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k1_lopban_4(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),C,D) = k1_rlvect_1(A,k6_lopban_3(A,B,D),k7_xcmplx_0(1,k2_newton(D))) ) ) ) ) ) )).
fof(d2_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k4_lopban_7(A,B,C) = k17_funct_3(u1_struct_0(k7_prvect_3(A,B)),k1_numbers,u1_normsp_0(k7_prvect_3(A,B)),k3_lopban_7(A,B,C)) ) ) ) )).
fof(d2_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))) ) => ( B = k4_lopclset(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) => k4_binop_1(k1_lopclset(A),B,C,D) = k2_lopclset(A,C,D) ) ) ) ) ) )).
fof(d2_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k4_rsspace))) ) => ( B = k2_lp_space(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k1_rsspace) & v1_series_1(k1_lp_space(k2_rsspace(C),A)) ) ) ) ) ) ) )).
fof(d2_lpspacc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_lpspacc1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k6_lpspacc1(A,B) = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k2_zfmisc_1(k2_numbers,B)) ) ) )).
fof(d2_lpspace1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_lpspace1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_lpspace1(A,B) = k2_partfun1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,B)) ) ) )).
fof(d2_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => k1_lpspace2(A,B,C,D) = a_4_0_lpspace2(A,B,C,D) ) ) ) ) )).
fof(d2_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => k2_ltlaxio1(A) = k4_hilbert1(k2_hilbert1,A) ) )).
fof(d2_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( B = k2_ltlaxio2(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & k1_funct_1(B,1) = k1_funct_1(A,1) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(A),C) | k1_funct_1(B,k1_nat_1(C,1)) = k4_ltlaxio1(k7_partfun1(k1_hilbert1,B,C),k7_partfun1(k1_hilbert1,A,k1_nat_1(C,1))) ) ) ) ) ) ) & ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( B = k2_ltlaxio2(A) <=> B = k12_finseq_1(k1_hilbert1,k3_ltlaxio1) ) ) ) ) ) )).
fof(d2_ltlaxio3,axiom,( ! [A] : ! [B] : ( B = k1_ltlaxio3(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v2_funct_1(C) & m2_finseq_1(C,A) ) ) ) )).
fof(d2_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_mathmorp(A,B) = a_2_0_mathmorp(A,B) ) ) )).
fof(d2_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => k2_matrix11(A,B,C) = k7_setwiseo(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))),u1_struct_0(B),u2_algstr_0(B),k6_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),k1_matrix11(A,B,C)) ) ) ) )).
fof(d2_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(C),A,B) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(C))) ) => ( G = k2_matrix12(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(H,k4_finseq_1(D)) & r2_tarski(I,k2_finseq_1(k1_matrix_0(D))) ) => ( ( H = E => k3_matrix_0(u1_struct_0(C),G,H,I) = k8_group_1(C,F,k3_matrix_0(u1_struct_0(C),D,E,I)) ) & ( H != E => k3_matrix_0(u1_struct_0(C),G,H,I) = k3_matrix_0(u1_struct_0(C),D,H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => k6_matrix13(A,B,C,D) = k1_matrix13(A,B,k4_card_1(C),k4_card_1(D),k5_matrix13(C),k5_matrix13(D)) ) ) ) ) )).
fof(d2_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k3_matrix14(A,B,C) = k1_finseq_7(u1_struct_0(A),k5_finseq_2(u1_struct_0(A),B,k4_struct_0(A)),C,k5_struct_0(A)) ) ) ) )).
fof(d2_matrix15,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => k3_matrix15(A,B) = k4_matrix_0(A,k10_laplace(A,B)) ) ) )).
fof(d2_matrix16,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ( v1_matrix16(B,A) <=> ? [C] : ( m2_finseq_1(C,A) & k3_finseq_1(C) = k1_matrix_0(B) & r1_matrix16(A,B,C) ) ) ) )).
fof(d2_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ( v2_matrix_0(D,A,B,C) <=> ( k3_finseq_1(D) = B & ! [E] : ( m2_finseq_1(E,A) => ( r2_tarski(E,k10_xtuple_0(D)) => k3_finseq_1(E) = C ) ) ) ) ) ) ) ) )).
fof(d2_matrix_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => k2_matrix_1(A,B) = k5_finseq_2(k4_finseq_2(B,u1_struct_0(A)),B,k5_finseq_2(u1_struct_0(A),B,k4_struct_0(A))) ) ) )).
fof(d2_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( C = k2_matrix_3(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & k1_matrix_0(C) = k1_matrix_0(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) => k3_matrix_0(u1_struct_0(A),C,D,E) = k4_algstr_0(A,k3_matrix_0(u1_struct_0(A),B,D,E)) ) ) ) ) ) ) ) ) )).
fof(d2_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k1_complfld))) ) => k2_matrix_5(A) = A ) )).
fof(d2_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r2_matrix_6(A,B,C,D) <=> ( k4_matrix_3(B,C,D) = k4_matrix_3(B,D,C) & k4_matrix_3(B,C,D) = k3_matrix_1(B,A) ) ) ) ) ) ) )).
fof(d2_matrix_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_1(C,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(A)) & r2_tarski(E,k2_finseq_1(A)) ) => ( D = E | k3_matrix_0(u1_struct_0(B),C,D,E) = k4_struct_0(B) ) ) ) ) ) ) ) ) )).
fof(d2_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => k2_matrix_9(A,B,C) = k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),k6_finsub_1(k9_matrix_1(A)),k1_matrix_9(A,B,C)) ) ) ) )).
fof(d2_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k2_matrixc1(A) = k1_matrixc1(k4_matrix_0(k2_numbers,A)) ) )).
fof(d2_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) => ( v1_matrixj1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ( v1_matrix_0(k1_funct_1(B,C)) & m2_finseq_1(k1_funct_1(B,C),k3_finseq_2(A)) ) ) ) ) ) ) )).
fof(d2_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) => ( v1_matrixj2(B,A) <=> ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(B,C) != k2_matrixj2(A,D,E) ) ) ) ) ) ) ) )).
fof(d2_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => k2_matrixr1(A) = A ) )).
fof(d2_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => k4_matrixr2(A) = k2_matrixr1(k3_matrix_1(k2_vectsp_1,A)) ) )).
fof(d2_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ( m1_matrlin(C,A,B) <=> ( v2_funct_1(C) & v2_vectsp_7(k10_xtuple_0(C),A,B) & m1_subset_1(k10_xtuple_0(C),k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(d2_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ! [F] : ( m1_matrlin(F,A,C) => ( k3_finseq_1(E) = k3_finseq_1(F) => k3_matrlin2(A,B,C,D,E,F) = k1_matrlin2(A,B,C,D,E,F) ) ) ) ) ) ) ) )).
fof(d2_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> r2_tarski(B,k1_matroid0(A)) ) ) ) )).
fof(d2_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k4_matrprob(A) <=> ( k3_finseq_1(B) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k1_matrix_0(A))) => k1_funct_1(B,C) = k18_rvsum_1(k8_matrix_0(k1_numbers,A,C)) ) ) ) ) ) ) )).
fof(d2_matrtop1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k2_vectsp_1)) => k2_matrtop1(A) = A ) )).
fof(d2_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(A)) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,A) & v1_matrix_6(C,A,k2_vectsp_1) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( C = k1_matrtop3(A,B) <=> ( k3_matrix_0(u1_struct_0(k2_vectsp_1),C,B,B) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => ( ( D = E => ( D = B | k3_matrix_0(u1_struct_0(k2_vectsp_1),C,D,D) = k5_struct_0(k2_vectsp_1) ) ) & ( D != E => k3_matrix_0(u1_struct_0(k2_vectsp_1),C,D,E) = k4_struct_0(k2_vectsp_1) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_mazurulm(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,1) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_algstr_0(A,k1_rlvect_1(A,D,k3_xxreal_3(1,F)),k1_rlvect_1(A,E,F))) = k1_algstr_0(B,k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_xxreal_3(1,F)),k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),F)) ) ) ) ) ) ) ) ) )).
fof(d2_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( C = k2_mboolean(A,B) <=> ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k3_tarski(k1_funct_1(B,D)) ) ) ) ) )).
fof(d2_measure1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v6_supinf_2(B) <=> ! [C] : ( m1_subset_1(C,A) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(B,C)) ) ) ) ) )).
fof(d2_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_measure2(C,A,B) => ( v1_measure2(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & C = k4_measure1(A,B,D) & ! [E] : ( v7_ordinal1(E) => r1_tarski(k8_nat_1(B,D,E),k8_nat_1(B,D,k1_nat_1(E,1))) ) ) ) ) ) )).
fof(d2_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( m1_measure3(D,A,B,C) <=> ? [E] : ( r2_tarski(E,B) & r1_tarski(D,E) & k12_supinf_2(C,E) = k1_supinf_2 ) ) ) ) ) )).
fof(d2_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( C = k1_measure4(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r2_tarski(D,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( ( r1_tarski(E,D) & r1_tarski(F,k6_subset_1(A,D)) ) => r1_xxreal_0(k3_supinf_2(k12_supinf_2(B,E),k12_supinf_2(B,F)),k12_supinf_2(B,k4_subset_1(A,E,F))) ) ) ) ) ) ) ) ) )).
fof(d2_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_measure5(A) <=> ? [B] : ( m1_subset_1(B,k6_numbers) & ? [C] : ( m1_subset_1(C,k6_numbers) & A = k1_measure5(B,C) ) ) ) ) )).
fof(d2_measure6,axiom,( ! [A] : ( v1_setfam_1(A) <=> ~ r2_tarski(k5_numbers,A) ) )).
fof(d2_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( m1_measure7(B,A) <=> ( r1_tarski(A,k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),B))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v6_xxreal_2(k8_nat_1(k9_setfam_1(k1_numbers),B,C)) & m1_subset_1(k8_nat_1(k9_setfam_1(k1_numbers),B,C),k1_zfmisc_1(k1_numbers)) ) ) ) ) ) ) )).
fof(d2_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( m2_measure8(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => r2_tarski(k8_nat_1(k9_setfam_1(A),C,D),B) ) ) ) ) )).
fof(d2_member_1,axiom,( ! [A] : ( v1_membered(A) => k5_member_1(A) = a_1_1_member_1(A) ) )).
fof(d2_membered,axiom,( ! [A] : ( v2_membered(A) <=> ! [B] : ( r2_hidden(B,A) => v1_xxreal_0(B) ) ) )).
fof(d2_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( l1_memstr_0(B,A) => k2_memstr_0(A,B) = k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B)) ) ) )).
fof(d2_mesfun10,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfun10(A,B,C) <=> ( v1_mesfunc8(B,A,k6_numbers) & k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) = k1_relset_1(A,C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & ? [G] : ( r1_xxreal_0(E,F) & r2_tarski(G,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers))) & r1_xxreal_0(D,k3_extreal1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,F),G),k12_supinf_2(C,G)))) ) ) ) ) ) ) ) ) ) )).
fof(d2_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r2_mesfun6c(A,B,C,D) <=> ( r3_mesfunc6(A,B,C,k5_comseq_3(A,D)) & r3_mesfunc6(A,B,C,k6_comseq_3(A,D)) ) ) ) ) ) ) )).
fof(d2_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k2_mesfun7c(A,B) = k1_mesfunc8(A,k1_mesfun7c(A,B)) ) ) )).
fof(d2_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( C = k2_mesfun9c(A,B) <=> ( r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,C,k5_numbers),k4_mesfunc5(A,k1_numbers,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,C,k1_nat_1(D,1)),k3_valued_1(A,k1_numbers,k1_numbers,k4_mesfunc5(A,k1_numbers,C,D),k4_mesfunc5(A,k1_numbers,B,k1_nat_1(D,1)))) ) ) ) ) ) ) )).
fof(d2_mesfunc1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_numbers)) => ( B = k2_mesfunc1(A) <=> ! [C] : ( v1_rat_1(C) => ( r2_hidden(C,B) <=> ? [D] : ( v1_int_1(D) & C = k2_extreal1(D,A) ) ) ) ) ) ) )).
fof(d2_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k1_mesfunc2(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,B) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k12_supinf_2(C,D) = k5_extreal1(k12_supinf_2(B,D),k1_supinf_2) ) ) ) ) ) ) ) )).
fof(d2_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc2(A,B,D) & v6_supinf_2(D) ) => ! [E] : ( m1_subset_1(E,k6_numbers) => ( E = k1_mesfunc3(A,B,C,D) <=> ? [F] : ( v1_prob_2(F) & m2_finseq_1(F,B) & ? [G] : ( m2_finseq_1(G,k6_numbers) & ? [H] : ( m2_finseq_1(H,k6_numbers) & r1_mesfunc3(A,B,D,F,G) & k12_supinf_2(G,1) = k1_supinf_2 & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(2,I) & r2_tarski(I,k4_finseq_1(G)) ) => ( ~ r1_xxreal_0(k12_supinf_2(G,I),k1_supinf_2) & ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(G,I)) ) ) ) & k4_finseq_1(H) = k4_finseq_1(F) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k12_supinf_2(H,I) = k1_extreal1(k12_supinf_2(G,I),k12_supinf_2(k4_finseqop(B,k6_numbers,F,C),I)) ) ) & E = k4_extreal1(H) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_mesfunc5,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_mesfunc5(A) <=> v1_mesfunc5(k10_xtuple_0(A)) ) ) )).
fof(d2_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_mesfunc6(A,B,C) <=> ? [D] : ( v1_prob_2(D) & m2_finseq_1(D,B) & k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(E,k4_finseq_1(D)) & r2_tarski(F,k1_funct_1(D,E)) & r2_tarski(G,k1_funct_1(D,E)) ) => k12_supinf_2(C,F) = k12_supinf_2(C,G) ) ) ) ) ) ) ) ) ) )).
fof(d2_mesfunc7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_valued_0(A) ) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( B = k2_mesfunc7(A) <=> ? [C] : ( m2_finseq_1(C,k6_numbers) & C = A & B = k1_finsop_1(k6_numbers,C,k1_mesfunc7) ) ) ) ) )).
fof(d2_mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) => ( v1_mesfunc8(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k1_relset_1(A,k4_mesfunc5(A,B,C,D)) = k1_relset_1(A,k4_mesfunc5(A,B,C,E)) ) ) ) ) )).
fof(d2_metric_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v2_metric_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => k1_binop_1(B,C,C) = k5_numbers ) ) ) )).
fof(d2_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_metric_2(A,B) = a_2_0_metric_2(A,B) ) ) )).
fof(d2_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_metric_6(A,B,C) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k1_metric_1(A,k8_nat_1(u1_struct_0(A),B,F),C)) ) ) ) ) ) ) ) ) )).
fof(d2_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_metrizts(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_tops_2(B,A) & m1_setfam_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(C,B) & m1_setfam_1(C,u1_struct_0(A)) & v4_card_3(C) ) ) ) ) ) ) )).
fof(d2_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_mfold_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_connsp_2(D,B,C) & r2_borsuk_3(k1_pre_topc(B,D),k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)) ) ) ) ) ) )).
fof(d2_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => k1_mfold_1(A,B,C) = k1_pre_topc(k15_euclid(A),k1_topreal9(A,B,C)) ) ) ) )).
fof(d2_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k2_mfold_2(A,B,C) = a_3_0_mfold_2(A,B,C) ) ) ) )).
fof(d2_midsp_1,axiom,( k2_midsp_1 = g1_midsp_1(k1_tarski(k5_ordinal1),k9_funct_5) )).
fof(d2_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(B)))) ) => ( v1_midsp_2(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k1_midsp_1(A,D,E) = F <=> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),C,D,F) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),C,F,E) ) ) ) ) ) ) ) ) )).
fof(d2_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( m1_midsp_3(B,A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_nat_1(A,1)) ) ) ) ) )).
fof(d2_mmlquer2,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_relat_2(A) <=> ! [B] : ! [C] : ( ( r1_mmlquery(B,C,A) & r1_mmlquery(C,B,A) ) => B = C ) ) ) )).
fof(d2_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k2_mmlquery(A,B,C) = k3_tarski(a_3_0_mmlquery(A,B,C)) ) ) )).
fof(d2_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_mod_2(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k3_vectsp_1(A,B,E,F)) = k3_vectsp_1(A,C,E,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F)) ) ) ) ) ) ) ) )).
fof(d2_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_mod_3(C,A,B) <=> ( v1_vectsp_7(C,A,B) & k1_vectsp_7(A,B,C) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) ) ) ) )).
fof(d2_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v2_vectsp_2(C,k2_mod_4(A)) & l1_vectsp_2(C,k2_mod_4(A)) ) => ( C = k3_mod_4(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k2_mod_4(A))),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k2_mod_4(A))),u1_struct_0(B)))) ) => ( r1_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k2_mod_4(A))),u1_struct_0(B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B),D,k1_mod_4(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_vectsp_1(A,B))) => C = g1_vectsp_2(k2_mod_4(A),u1_struct_0(B),u1_algstr_0(B),k4_struct_0(B),D) ) ) ) ) ) ) )).
fof(d2_modal_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => k2_modal_1(A,B) = k3_trees_2(A,B,k1_modal_1(k9_xtuple_0(B))) ) ) )).
fof(d2_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ( m3_modcat_1(B,A) <=> ! [C] : ( m1_subset_1(C,B) => ( v2_mod_2(C,A) & v3_mod_2(C,A) & l1_mod_2(C,A) ) ) ) ) ) )).
fof(d2_modelc_1,axiom,( ! [A] : ( ( r2_hidden(A,k4_ordinal1) => k2_modelc_1(A) = A ) & ( ~ r2_hidden(A,k4_ordinal1) => k2_modelc_1(A) = k5_numbers ) ) )).
fof(d2_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_modelc_2(A) = k9_finseq_1(k2_xcmplx_0(6,A)) ) )).
fof(d2_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v4_modelc_2(A) => k3_modelc_3(A) = k1_xboole_0 ) & ( v5_modelc_2(A) => k3_modelc_3(A) = k1_tarski(k12_modelc_2(A)) ) & ( v6_modelc_2(A) => k3_modelc_3(A) = k1_xboole_0 ) & ( v7_modelc_2(A) => k3_modelc_3(A) = k1_tarski(k12_modelc_2(A)) ) & ( v8_modelc_2(A) => k3_modelc_3(A) = k2_tarski(k11_modelc_2(A),k12_modelc_2(A)) ) & ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v6_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) & k3_modelc_3(A) != k1_xboole_0 ) ) ) )).
fof(d2_moebius1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ( A = k1_moebius1 <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,A) <=> ~ v1_moebius1(B) ) ) ) ) )).
fof(d2_moebius2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k2_moebius2 <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k7_xcmplx_0(1,B) ) ) ) )).
fof(d2_monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k9_funct_2(E,A),k9_funct_2(E,B)),k9_funct_2(E,C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(E,A),k9_funct_2(E,B)),k9_funct_2(E,C)))) ) => ( F = k8_monoid_1(A,B,C,D,E) <=> ! [G] : ( m2_funct_2(G,E,A,k9_funct_2(E,A)) => ! [H] : ( m2_funct_2(H,E,B,k9_funct_2(E,B)) => k2_binop_1(k9_funct_2(E,A),k9_funct_2(E,B),k9_funct_2(E,C),F,G,H) = k3_monoid_1(E,A,B,C,D,G,H) ) ) ) ) ) ) ) ) )).
fof(d2_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) => ( C = k3_morph_01(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)),C,D) = k2_morph_01(A,D,B) ) ) ) ) ) )).
fof(d2_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( r2_hidden(C,A) => ! [D] : ( D = k2_msafree(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( r2_tarski(F,k1_funct_1(B,C)) & E = k4_tarski(F,C) ) ) ) ) ) )).
fof(d2_msafree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v1_msafree1(B,A) <=> v1_prob_2(u3_msualg_1(A,B)) ) ) ) )).
fof(d2_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => k2_msafree2(A) = k6_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),u2_msualg_1(A))) ) )).
fof(d2_msafree3,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( C = k2_msafree3(A,B) <=> ! [D] : ( r2_hidden(D,u1_struct_0(A)) => k1_funct_1(C,D) = a_2_0_msafree3(B,D) ) ) ) ) ) )).
fof(d2_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( r1_msafree5(A,B,C) <=> r2_hidden(C,k3_card_3(u3_msualg_1(A,B))) ) ) ) )).
fof(d2_msalimit,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_msalimit(C,A,B) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_orders_2(A)) & v1_funct_1(D) & v1_partfun1(D,u1_orders_2(A)) & v1_funcop_1(D) ) => ( m2_msalimit(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_orders_2(A,F,E) & r1_orders_2(A,G,F) & ! [H] : ( m2_pboole(H,u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,E)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F))) => ! [I] : ( m2_pboole(I,u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,G))) => ~ ( H = k1_binop_1(D,F,E) & I = k1_binop_1(D,G,F) & k1_binop_1(D,G,E) = k3_msualg_3(u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,E)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,G)),H,I) & r1_msualg_3(B,k5_pralg_2(u1_struct_0(A),B,C,E),k5_pralg_2(u1_struct_0(A),B,C,F),H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_subset_1(C,u1_struct_0(k5_msafree(A,B)),k7_dtconstr(k5_msafree(A,B))) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( m1_msaterm(D,A,B,C) <=> m2_dtconstr(D,k5_msafree(A,B),C) ) ) ) ) ) )).
fof(d2_msinst_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( C = k2_msinst_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v3_msualg_1(E,A) & v1_msualg_6(E,A) & l3_msualg_1(E,A) & D = E & ! [F] : ( m1_subset_1(F,k10_xtuple_0(u3_msualg_1(A,E))) => r1_tarski(F,B) ) ) ) ) ) ) )).
fof(d2_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ( v1_msscyc_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & r1_graph_2(A,C,B) & k1_funct_1(C,1) = k1_funct_1(C,k3_finseq_1(C)) ) ) ) ) )).
fof(d2_msscyc_2,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_msscyc_2(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A),u1_struct_0(A)))) ) => ( B = k2_msscyc_2(A) <=> ! [C] : ( r2_hidden(C,k1_msscyc_2(A)) => k1_funct_1(B,C) = k2_xtuple_0(C) ) ) ) ) )).
fof(d2_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v1_mssubfam(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ( r1_pboole(A,D,C) & r1_pboole(A,E,C) ) => r1_pboole(A,k2_pboole(A,D,E),C) ) ) ) ) ) ) )).
fof(d2_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k2_msualg_1(A,B) = k3_funct_2(u4_struct_0(A),u1_struct_0(A),u2_msualg_1(A),B) ) ) )).
fof(d2_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v2_msualg_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_msualg_2(B,A) ) ) ) )).
fof(d2_msualg_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_msualg_3(A) <=> ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(B,k9_xtuple_0(A)) & k1_funct_1(A,B) = C ) => v2_funct_1(C) ) ) ) ) )).
fof(d2_msualg_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_msualg_4(C,A,B,B) => ( v1_msualg_4(C,A,B) <=> ! [D] : ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,D),k1_funct_1(B,D)))) => ( ( r2_tarski(D,A) & k1_funct_1(C,D) = E ) => ( v3_relat_2(E) & v8_relat_2(E) & v1_partfun1(E,k1_funct_1(B,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,D),k1_funct_1(B,D)))) ) ) ) ) ) ) )).
fof(d2_msualg_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_lattices(B) & v10_lattices(B) & l3_lattices(B) ) => ( B = k2_msualg_5(A) <=> ( u1_struct_0(B) = a_1_0_msualg_5(A) & ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( k1_binop_1(u1_lattices(B),C,D) = k4_eqrel_1(A,C,D) & k1_binop_1(u2_lattices(B),C,D) = k5_eqrel_1(A,C,D) ) ) ) ) ) ) )).
fof(d2_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m2_pboole(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( m1_msualg_6(C,A,B) <=> r1_msualg_3(A,B,B,C) ) ) ) ) )).
fof(d2_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v1_msualg_7(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => r2_tarski(k16_lattice3(A,C),u1_struct_0(B)) ) ) ) ) )).
fof(d2_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))))) => k2_msualg_8(A,B,C) = k16_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),a_3_1_msualg_8(A,B,C)) ) ) ) )).
fof(d2_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,k6_pboole(A,C,D)) => ! [F] : ( m2_pboole(F,A,B,D) => ( F = k2_msualg_9(A,B,C,D,E) <=> ! [G] : ( r2_tarski(G,A) => k1_funct_1(F,G) = k12_mcart_1(k1_funct_1(E,G)) ) ) ) ) ) ) ) )).
fof(d2_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_msualg_1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v3_msualg_1(C,B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ( r1_msuhom_1(A,B) => ! [D] : ( ( v3_msualg_1(D,A) & v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ( D = k1_msuhom_1(A,B,C) <=> ( u3_msualg_1(A,D) = k5_relat_1(u3_msualg_1(B,C),u1_struct_0(A)) & u4_msualg_1(A,D) = k5_relat_1(u4_msualg_1(B,C),u4_struct_0(A)) ) ) ) ) ) ) ) )).
fof(d2_multop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ! [E] : k3_multop_1(A,B,C,D,E) = k1_funct_1(A,k6_xtuple_0(B,C,D,E)) ) )).
fof(d2_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( v2_nagata_1(B,A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => v1_nagata_1(k1_nagata_1(A,B,C),A) ) ) ) ) )).
fof(d2_nagata_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k2_nagata_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k1_funct_1(D,E) = k1_binop_1(B,C,E) ) ) ) ) ) )).
fof(d2_nat_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( C = k6_nat_1(A,B) <=> ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k1_funct_1(A,k2_xcmplx_0(D,B)) ) ) ) ) ) )).
fof(d2_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k4_nat_3(A,B,C) <=> ! [E] : k1_funct_1(D,E) = k3_xcmplx_0(C,k1_funct_1(B,E)) ) ) ) ) )).
fof(d2_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( B != k5_numbers => ( C = k3_nat_5(A,B) <=> ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( B = D => C = k2_uproots(k3_moebius1(D),k1_nat_5(k4_ordinal1,k2_nat_5(A),k3_moebius1(D))) ) ) ) ) & ( B = k5_numbers => ( C = k3_nat_5(A,B) <=> C = k5_numbers ) ) ) ) ) ) )).
fof(d2_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( m1_nat_6(B,A) <=> r1_nat_d(B,A) ) ) ) )).
fof(d2_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k2_nat_d(A,B) <=> ~ ( ! [D] : ( v7_ordinal1(D) => ~ ( A = k2_xcmplx_0(k3_xcmplx_0(B,D),C) & ~ r1_xxreal_0(B,C) ) ) & ~ ( C = k5_numbers & B = k5_numbers ) ) ) ) ) ) )).
fof(d2_nat_lat,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) ) => ( A = k2_nat_lat <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(A,C,B) = k5_nat_d(C,B) ) ) ) ) )).
fof(d2_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r1_nattra_1(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_cat_1(B,k8_cat_1(A,B,C,E),k8_cat_1(A,B,D,E)) != k1_xboole_0 ) ) ) ) ) ) )).
fof(d2_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => k2_nbvectsp(A) = k5_finseq_2(k4_ordinal1,A,k5_numbers) ) )).
fof(d2_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_ncfcont1(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( m2_valued_0(D,u1_struct_0(A),C) & v9_clvect_1(D,A) & r2_tarski(k7_clvect_1(A,D),B) ) ) ) ) ) ) ) )).
fof(d2_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r2_ncfcont2(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(C),D)) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ~ ( r2_tarski(G,A) & r2_tarski(H,A) & ~ r1_xxreal_0(F,k2_normsp_0(C,k5_algstr_0(C,G,H))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),D,G),k7_partfun1(u1_struct_0(B),D,H)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k1_ndiff_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k1_rlvect_1(A,k1_normsp_0(A,B,E),k8_nat_1(k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d2_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k16_lopban_1(B,C))) => k2_ndiff_2(A,B,C,D,E) = k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k13_lopban_1(A,B,D),k13_lopban_1(B,C,E)) ) ) ) ) ) )).
fof(d2_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v2_ndiff_3(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => k7_partfun1(u1_struct_0(A),B,D) = k1_rlvect_1(A,C,D) ) ) ) ) ) )).
fof(d2_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( D = k1_ndiff_4(A,B,C) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & B = E & D = k1_ndiff_3(k4_real_ns1(A),E,C) ) ) ) ) ) ) )).
fof(d2_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_ndiff_5(A,B,C) = k7_subset_1(u1_struct_0(A),k1_rltopsp1(A,B,C),k2_tarski(B,C)) ) ) ) )).
fof(d2_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k2_ndiff_6(A,B) <=> ( k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = B & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k2_xcmplx_0(D,1)) = k16_lopban_1(A,k1_ndiff_6(k1_funct_1(C,D))) ) ) ) ) ) ) )).
fof(d2_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k7_prvect_3(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k7_prvect_3(A,B))))) ) => ( D = k2_ndiff_7(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(k7_prvect_3(A,B)),D,E) = k4_tarski(k1_xtuple_0(C),E) ) ) ) ) ) ) )).
fof(d2_neckla_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( C = k1_neckla_2(A,B) <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u1_orders_2(C) = k2_xboole_0(u1_orders_2(A),u1_orders_2(B)) ) ) ) ) ) )).
fof(d2_necklace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r3_necklace(A,B) <=> ( r2_necklace(B,A) & r2_necklace(A,B) ) ) ) ) )).
fof(d2_net_1,axiom,( ! [A] : ( l1_petri(A) => ( v1_net_1(A) <=> ( r1_xboole_0(u1_struct_0(A),u4_struct_0(A)) & r1_tarski(k1_net_1(A),k2_xboole_0(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(A)),k2_zfmisc_1(u4_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(d2_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k2_newton(A) = k19_rvsum_1(k1_finseq_2(A)) ) )).
fof(d2_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_nfcont_1(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( m2_valued_0(D,u1_struct_0(A),C) & v3_normsp_1(D,A) & r2_tarski(k5_normsp_1(A,D),B) ) ) ) ) ) ) ) )).
fof(d2_nfcont_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( r2_nfcont_2(A,B,C) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),C)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(F,A) & r2_tarski(G,A) & ~ r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,F,G))) & r1_xxreal_0(D,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,C,F),k7_partfun1(k1_numbers,C,G)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_nfcont_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k1_relset_1(k1_numbers,B)) => r1_nfcont_3(A,B,C) ) ) ) ) ) )).
fof(d2_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( D = k1_nfcont_4(A,B,C) <=> ( k1_relset_1(B,D) = k1_relset_1(B,C) & ! [E] : ( r2_tarski(E,k1_relset_1(B,D)) => k7_partfun1(k1_numbers,D,E) = k12_euclid(k7_partfun1(k1_euclid(A),C,E)) ) ) ) ) ) ) )).
fof(d2_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => k1_normform(A,B,C,D) = k1_domain_1(A,B,k1_finsub_1(A,k2_domain_1(A,B,C),k2_domain_1(A,B,D)),k1_finsub_1(B,k3_domain_1(A,B,C),k3_domain_1(A,B,D))) ) ) ) ) )).
fof(d2_normsp_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_normsp_0(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(B) & ! [D] : ( r2_tarski(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) ) ) ) )).
fof(d2_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k1_normsp_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k1_algstr_0(A,k1_normsp_0(A,B,E),k1_normsp_0(A,C,E)) ) ) ) ) ) ) )).
fof(d2_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k2_normsp_2(A) = g1_metric_1(u1_struct_0(A),k1_normsp_2(A)) ) )).
fof(d2_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k3_zfmisc_1(k4_numbers,k4_numbers,k4_numbers)) => ( C = k2_ntalgo_1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k4_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k4_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k4_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k4_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [L] : ( v7_ordinal1(L) & k8_nat_1(k4_numbers,H,k5_numbers) = 1 & k8_nat_1(k4_numbers,I,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,D,k5_numbers) = A & k8_nat_1(k4_numbers,F,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,K,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,J,k5_numbers) = 1 & k8_nat_1(k4_numbers,E,k5_numbers) = B & k8_nat_1(k4_numbers,G,k5_numbers) = k5_numbers & ! [M] : ( v7_ordinal1(M) => ( k8_nat_1(k4_numbers,F,k1_nat_1(M,1)) = k4_int_1(k8_nat_1(k4_numbers,D,M),k8_nat_1(k4_numbers,E,M)) & k8_nat_1(k4_numbers,G,k1_nat_1(M,1)) = k5_int_1(k8_nat_1(k4_numbers,D,M),k8_nat_1(k4_numbers,E,M)) & k8_nat_1(k4_numbers,H,k1_nat_1(M,1)) = k8_nat_1(k4_numbers,K,M) & k8_nat_1(k4_numbers,I,k1_nat_1(M,1)) = k8_nat_1(k4_numbers,J,M) & k8_nat_1(k4_numbers,D,k1_nat_1(M,1)) = k8_nat_1(k4_numbers,E,M) & k8_nat_1(k4_numbers,K,k1_nat_1(M,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,H,M),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k1_nat_1(M,1)),k8_nat_1(k4_numbers,K,M))) & k8_nat_1(k4_numbers,J,k1_nat_1(M,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,I,M),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k1_nat_1(M,1)),k8_nat_1(k4_numbers,J,M))) & k8_nat_1(k4_numbers,E,k1_nat_1(M,1)) = k8_nat_1(k4_numbers,G,k1_nat_1(M,1)) ) ) & L = k3_nat_1(a_1_1_ntalgo_1(E)) & ( r1_xxreal_0(k5_numbers,k8_nat_1(k4_numbers,D,L)) => C = k3_xtuple_0(k8_nat_1(k4_numbers,H,L),k8_nat_1(k4_numbers,I,L),k8_nat_1(k4_numbers,D,L)) ) & ( ~ r1_xxreal_0(k5_numbers,k8_nat_1(k4_numbers,D,L)) => C = k3_xtuple_0(k4_xcmplx_0(k8_nat_1(k4_numbers,H,L)),k4_xcmplx_0(k8_nat_1(k4_numbers,I,L)),k4_xcmplx_0(k8_nat_1(k4_numbers,D,L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_numbers,axiom,( k2_numbers = k2_xboole_0(k6_subset_1(k9_funct_2(k2_tarski(k5_ordinal1,1),k1_numbers),a_0_0_numbers),k1_numbers) )).
fof(d2_numeral1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,1) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( ( A != k5_numbers => ( C = k2_numeral1(A,B) <=> ( k1_numeral1(C,B) = A & k1_recdef_1(C,k6_xcmplx_0(k1_afinsq_1(C),1)) != k5_numbers & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => ( r1_xxreal_0(k5_numbers,k1_recdef_1(C,D)) & ~ r1_xxreal_0(B,k1_recdef_1(C,D)) ) ) ) ) ) ) & ( A = k5_numbers => ( C = k2_numeral1(A,B) <=> C = k5_afinsq_1(k5_numbers) ) ) ) ) ) ) ) )).
fof(d2_numeral2,axiom,( k4_fib_num2 = a_0_1_numeral2 )).
fof(d2_numpoly1,axiom,( ! [A] : ( v1_numpoly1(A) <=> ? [B] : ( v7_ordinal1(B) & A = k1_numpoly1(B) ) ) )).
fof(d2_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)))) ) => ( B = k4_openlatt(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_openlatt(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_openlatt(A)) => k4_binop_1(k1_openlatt(A),B,C,D) = k2_openlatt(A,C,D) ) ) ) ) ) )).
fof(d2_oposet_1,axiom,( k2_oposet_1 = g2_qmax_1(k1_tarski(k5_ordinal1),k1_partit_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)),k8_funct_5) )).
fof(d2_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_oppcat_1(A,B) = B ) ) )).
fof(d2_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_rsspace4(A,B)))) => ( C = k1_ordeq_01(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_funct_1(E) & v1_nfcont_3(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) & D = E & k1_relset_1(k1_numbers,E) = A ) ) ) ) ) ) )).
fof(d2_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m2_orders_1(C,A,B) <=> ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = o_3_0_orders_1(A,B,D) ) ) ) ) )).
fof(d2_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_orders_2(A) <=> r1_relat_2(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(d2_orders_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_orders_3(B,A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & C != k1_xboole_0 & D != k1_xboole_0 & B = k4_subset_1(u1_struct_0(A),C,D) & r1_xboole_0(C,D) & u1_orders_2(A) = k2_xboole_0(k2_wellord1(u1_orders_2(A),C),k2_wellord1(u1_orders_2(A),D)) ) ) ) ) ) )).
fof(d2_orders_4,axiom,( ! [A] : ( l1_struct_0(A) => ( v1_orders_4(A) <=> v4_card_3(u1_struct_0(A)) ) ) )).
fof(d2_ordinal1,axiom,( ! [A] : ( v1_ordinal1(A) <=> ! [B] : ( r2_tarski(B,A) => r1_tarski(B,A) ) ) )).
fof(d2_ordinal2,axiom,( ! [A] : k2_ordinal2(A) = k1_setfam_1(k2_ordinal1(A)) )).
fof(d2_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k2_ordinal4(A) = k1_xboole_0 ) )).
fof(d2_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) ) => ( v2_ordinal5(A) <=> ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d2_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F = k1_ortsp_1(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_orders_2(B,k5_algstr_0(B,E,k3_vectsp_1(A,B,G,D)),C) => F = G ) ) ) ) ) ) ) ) ) ) )).
fof(d2_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_osafree(C,A,B) => ( v1_osafree(C,A,B) <=> ! [D] : ( ( v4_msualg_1(D,A) & v12_osalg_1(D,A) & v13_osalg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),C,u3_msualg_1(A,D)) => ? [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,D)) & r1_msualg_3(A,B,D,F) & v1_osalg_3(F,A) & r8_pboole(u1_struct_0(A),k1_msafree(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,D),C,F),E) ) ) ) ) ) ) ) )).
fof(d2_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_osalg_1(A,B,C) <=> r2_hidden(k4_tarski(B,C),u1_osalg_1(A)) ) ) ) ) )).
fof(d2_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( m2_osalg_2(C,A,B) <=> ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v11_osalg_1(C,A) ) ) ) ) ) )).
fof(d2_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ( r1_osalg_3(A,B,C) <=> ? [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & r4_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) ) ) ) ) )).
fof(d2_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( m1_osalg_4(C,A,B) <=> v1_osalg_4(C,A,u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) ) )).
fof(d2_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => k2_parsp_1(A,B,C) = k4_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k1_parsp_1(A),B,C) ) ) ) )).
fof(d2_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_parsp_2(A,B,C,D) <=> r1_parsp_1(A,B,C,B,D) ) ) ) ) ) )).
fof(d2_partfun1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => ( v1_partfun1(B,A) <=> k1_relset_1(A,B) = A ) ) )).
fof(d2_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( r2_partit1(A,B,C,D) <=> ( r1_partit1(A,B,D) & r1_partit1(A,C,D) & ! [E] : ( ( r1_tarski(E,D) & r1_partit1(A,B,E) & r1_partit1(A,C,E) ) => E = D ) ) ) ) ) ) )).
fof(d2_partit_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_partit_2(A) <=> ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_1(A,k1_funct_1(A,B)) = B ) ) ) )).
fof(d2_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) <=> ! [D] : ( r2_hidden(D,A) => r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) )).
fof(d2_pcomps_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k1_pcomps_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & D = k2_pre_topc(A,E) & r2_tarski(E,B) ) ) ) ) ) ) ) )).
fof(d2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) => ( G = k3_pcs_0(A,B,C,D,E,F) <=> ! [H] : ! [I] : ( r2_hidden(k4_tarski(H,I),G) <=> ? [J] : ? [K] : ? [L] : ? [M] : ( H = k4_tarski(J,K) & I = k4_tarski(L,M) & r2_tarski(J,A) & r2_tarski(K,C) & r2_tarski(L,B) & r2_tarski(M,D) & ( r2_hidden(k4_tarski(J,L),E) | r2_hidden(k4_tarski(K,M),F) ) ) ) ) ) ) ) )).
fof(d2_pdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k2_pdiff_1(A) = k3_relat_1(k1_pdiff_1(1,1),k3_relat_1(A,k2_funct_1(k1_pdiff_1(1,1)))) ) )).
fof(d2_pdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( r1_pdiff_2(A,B) <=> ( r1_tarski(B,k1_relset_1(k1_euclid(2),A)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(2)) => ( r2_tarski(C,B) => r3_pdiff_1(2,1,k2_partfun1(k1_euclid(2),k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d2_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r1_pdiff_3(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k10_finseq_1(C,D) & ? [E] : ( m1_rcomp_1(E,C) & r1_tarski(E,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B))) & ? [F] : ( v1_funct_1(F) & v3_fdiff_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [G] : ( v1_funct_1(G) & v2_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B),H),k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B),C)) = k2_xcmplx_0(k1_funct_1(F,k6_xcmplx_0(H,C)),k1_funct_1(G,k6_xcmplx_0(H,C))) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( r2_pdiff_4(A,B) <=> ( r1_tarski(B,k1_relset_1(k1_euclid(3),A)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ( r2_tarski(C,B) => r3_pdiff_1(3,2,k2_partfun1(k1_euclid(3),k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d2_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r2_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,D) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,k1_pdiff_3(1,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(1,3,A),B),I),k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(1,3,A),B),D)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,D)),k1_funct_1(H,k6_xcmplx_0(I,D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ( v2_pdiff_6(C,A,B) <=> ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => ! [E] : ( v1_xreal_0(E) => k3_funct_2(k1_euclid(B),k1_euclid(A),C,k9_euclid(B,D,E)) = k9_euclid(A,k3_funct_2(k1_euclid(B),k1_euclid(A),C,D),E) ) ) ) ) ) ) )).
fof(d2_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k1_pdiff_7(A,B,C) = k1_partfun1(k1_euclid(A),k1_euclid(1),k1_euclid(1),k1_numbers,k8_pdiff_1(A,1,k3_pdiff_1(A,B),C),k1_pdiff_1(1,1)) ) ) ) )).
fof(d2_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r1_pdiff_9(A,B,C) <=> ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r2_tarski(D,B) => r2_nfcont_4(A,k2_partfun1(k1_euclid(A),k1_numbers,C,B),D) ) ) ) ) ) )).
fof(d2_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_pencil_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_pre_topc(A)) => ( r1_ordinal1(2,k1_card_1(k9_subset_1(u1_struct_0(A),C,B))) => r1_tarski(C,B) ) ) ) ) ) )).
fof(d2_pencil_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & v14_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ( m1_pencil_2(C,A,B) <=> ? [D] : ( ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) & C = k4_card_3(D) & k1_funct_1(D,k3_pencil_1(A,D)) = k2_struct_0(k1_pencil_1(A,B,k3_pencil_1(A,D))) ) ) ) ) ) )).
fof(d2_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_pencil_2(C,A,B) => ! [D] : ( m1_pencil_2(D,A,B) => ( r1_pencil_3(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k5_pencil_1(A,B))) => ~ ( r2_tarski(E,C) & ! [F] : ( m1_subset_1(F,u1_struct_0(k5_pencil_1(A,B))) => ~ ( r2_tarski(F,D) & r1_pencil_1(k5_pencil_1(A,B),E,F) ) ) ) ) ) ) ) ) ) )).
fof(d2_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => k2_pencil_4(A,B,C,D) = k7_subset_1(k3_vectsp_5(A,B),k1_pencil_4(A,B,C,D),k2_tarski(k2_vectsp_4(A,C),k2_vectsp_4(A,D))) ) ) ) ) )).
fof(d2_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) => ( r1_xxreal_0(B,1) | ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k3_pepin(A,B) <=> ( ~ r1_xxreal_0(C,k5_numbers) & k4_nat_d(k1_newton(A,C),B) = 1 & ! [D] : ( v7_ordinal1(D) => ( k4_nat_d(k1_newton(A,D),B) = 1 => ( r1_xxreal_0(D,k5_numbers) | ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_petri_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,A))) ) => ( m1_petri_2(C,A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,A))) & v1_finset_1(D) & C = k1_petri_2(A,B,D,E) ) ) ) ) ) )).
fof(d2_petri_df,axiom,( k1_petri_df = g1_petri(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,1),k2_partit_2(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,1)),k2_partit_2(k6_domain_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,k5_numbers))) )).
fof(d2_pnproc_1,axiom,( ! [A] : k1_pnproc_1(A) = k8_funcop_1(k4_ordinal1,A,k5_numbers) )).
fof(d2_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_polyalg1(B,A) & l1_polyalg1(B,A) ) => ( B = k1_polyalg1(A) <=> ( ! [C] : ( r2_tarski(C,u1_struct_0(B)) <=> ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( C = E & D = F ) => k1_algstr_0(B,C,D) = k1_normsp_1(A,E,F) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( C = E & D = F ) => k6_algstr_0(B,C,D) = k11_polynom3(A,E,F) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = E => k3_vectsp_1(A,B,C,D) = k4_polynom5(A,E,C) ) ) ) ) & k4_struct_0(B) = k9_polynom3(A) & k5_struct_0(B) = k10_polynom3(A) ) ) ) ) )).
fof(d2_polyeq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k2_polyeq_1(A,B,C,D) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C) ) ) ) ) )).
fof(d2_polyeq_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k2_polyeq_2(A,B,C,D,E,F) = k3_xcmplx_0(A,k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(F,B),k6_xcmplx_0(F,C)),k6_xcmplx_0(F,D)),k6_xcmplx_0(F,E))) ) ) ) ) ) ) )).
fof(d2_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( ( k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)) = k5_numbers => ( D = k2_polyeq_5(A,B,C) <=> ? [E] : ( v1_xcmplx_0(E) & ? [F] : ( v1_xcmplx_0(F) & E = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,C),B),k3_xcmplx_0(2,k1_newton(C,3))),k3_xcmplx_0(27,A)),54) & F = k1_polyeq_5(3,k3_xcmplx_0(2,E)) & D = k6_xcmplx_0(F,k7_xcmplx_0(C,3)) ) ) ) ) & ( k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)) != k5_numbers => ( D = k2_polyeq_5(A,B,C) <=> ? [E] : ( v1_xcmplx_0(E) & ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & ? [I] : ( v1_xcmplx_0(I) & E = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)),9) & F = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,C),B),k3_xcmplx_0(2,k1_newton(C,3))),k3_xcmplx_0(27,A)),54) & G = k1_polyeq_5(2,k2_xcmplx_0(k1_newton(E,3),k1_newton(F,2))) & H = k1_polyeq_5(3,k2_xcmplx_0(F,G)) & I = k4_xcmplx_0(k7_xcmplx_0(E,H)) & D = k6_xcmplx_0(k2_xcmplx_0(H,I),k7_xcmplx_0(C,3)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k1_polynom1(A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(B) & ! [E] : ( r2_hidden(E,k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A),D,E) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),B,E),C) ) ) ) ) ) ) ) )).
fof(d2_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( ~ v7_struct_0(C) & v4_vectsp_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( E = k1_polynom2(A,B,C,D) <=> ? [F] : ( m2_finseq_1(F,u1_struct_0(C)) & k3_finseq_1(F) = k3_finseq_1(k7_pre_poly(A,k22_pre_poly(A,B),k2_orders_1(A))) & E = k3_group_4(C,F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(F)) ) => k7_partfun1(u1_struct_0(C),F,G) = k9_nat_1(u1_struct_0(C),k4_group_1(C),k7_partfun1(u1_struct_0(C),k1_partfun1(k4_ordinal1,A,A,u1_struct_0(C),k7_pre_poly(A,k22_pre_poly(A,B),k2_orders_1(A)),D),G),k7_partfun1(k4_ordinal1,k23_pre_poly(A,k7_pre_poly(A,k22_pre_poly(A,B),k2_orders_1(A)),B),G)) ) ) ) ) ) ) ) ) ) )).
fof(d2_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_2(B,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ( r2_polynom3(A,B,C) <=> ( r1_polynom3(A,B,C) | B = C ) ) ) ) ) )).
fof(d2_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k2_polynom4(A,B,C) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & D = k4_rlvect_1(A,E) & k3_finseq_1(E) = k1_algseq_1(A,B) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k6_algstr_0(A,k8_nat_1(u1_struct_0(A),B,k7_nat_d(F,1)),k9_nat_1(u1_struct_0(A),k4_group_1(A),C,k7_nat_d(F,1))) ) ) ) ) ) ) ) ) )).
fof(d2_polynom5,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k2_polynom5(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => k7_partfun1(k1_numbers,B,C) = k9_complex1(k7_partfun1(u1_struct_0(k1_complfld),A,C)) ) ) ) ) ) ) )).
fof(d2_polynom6,axiom,( ! [A] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( v3_ordinal1(B) & ~ v1_xboole_0(B) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))) & v1_polynom1(D,k12_polynom1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)))) ) => ( E = k2_polynom6(A,B,C,D) <=> ! [F] : ( m2_subset_1(F,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) => ? [G] : ( m2_subset_1(G,k14_pre_poly(A),k15_pre_poly(A)) & ? [H] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(I,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & I = k4_polynom1(A,k12_polynom1(B,C),D,G) & r8_pboole(k10_ordinal2(A,B),F,k1_polynom6(A,B,G,H)) & k4_polynom1(k10_ordinal2(A,B),C,E,F) = k4_polynom1(B,C,I,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_polyred(A,B,C,D,E) <=> r2_hidden(k4_tarski(k3_polynom1(k15_pre_poly(A),C,D),k3_polynom1(k15_pre_poly(A),C,E)),k13_bagorder(g1_orders_2(k15_pre_poly(A),B))) ) ) ) ) ) ) )).
fof(d2_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_poset_1(A,B,C) = a_3_0_poset_1(A,B,C) ) ) ) )).
fof(d2_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_poset_2(A) = k2_xboole_0(k2_xboole_0(k1_tarski(k4_tarski(A,A)),k2_zfmisc_1(k1_tarski(A),A)),k6_partfun1(A)) ) )).
fof(d2_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( ~ r1_xxreal_0(A,k5_numbers) => ( C = k2_power(A,B) <=> C = k6_prepower(A,B) ) ) & ( A = k5_numbers => ( r1_xxreal_0(B,k5_numbers) | ( C = k2_power(A,B) <=> C = k5_numbers ) ) ) & ( v1_int_1(B) => ( C = k2_power(A,B) <=> ? [D] : ( v1_int_1(D) & D = B & C = k3_prepower(A,D) ) ) ) ) ) ) ) )).
fof(d2_pralg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m2_finseq_1(D,B) => ( D = k2_pralg_1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k2_xtuple_0(k1_funct_1(C,E)) ) ) ) ) ) ) ) ) )).
fof(d2_pralg_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_card_3(k1_funct_6(A))) & v1_funct_1(B) & v1_partfun1(B,k4_card_3(k1_funct_6(A))) & v1_funcop_1(B) ) => ( B = k2_pralg_2(A) <=> ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(C,k4_card_3(k1_funct_6(A))) => k1_funct_1(B,C) = k15_pralg_1(A,C) ) ) ) ) ) )).
fof(d2_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m2_pboole(E,u1_struct_0(B),u3_msualg_1(B,k14_pralg_2(A,B,C)),u3_msualg_1(B,k5_pralg_2(A,B,C,D))) => ( E = k2_pralg_3(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k1_msualg_3(u1_struct_0(B),u3_msualg_1(B,k14_pralg_2(A,B,C)),u3_msualg_1(B,k5_pralg_2(A,B,C,D)),E,F) = k12_card_3(k9_pralg_2(A,B,F,C),D) ) ) ) ) ) ) ) )).
fof(d2_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( A = k5_numbers => ( B = k2_pre_ff(A) <=> B = k5_numbers ) ) & ( A != k5_numbers => ( B = k2_pre_ff(A) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k4_ordinal1)))) & k1_nat_1(C,1) = A & B = k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,C),A) & k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,k5_numbers) = k12_finseq_1(k4_ordinal1,1) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( k1_nat_1(E,2) = k3_xcmplx_0(2,F) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,k1_nat_1(E,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,E),k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,E),F))) ) ) & ! [F] : ( v7_ordinal1(F) => ( k1_nat_1(E,2) = k1_nat_1(k3_xcmplx_0(2,F),1) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,k1_nat_1(E,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,E),k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,E),F),k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),D,E),k1_nat_1(F,1))))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r3_orders_1(C,B) => ! [D] : ( m2_finseq_1(D,A) => ( D = k7_pre_poly(A,B,C) <=> ( k2_relset_1(A,D) = B & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k4_finseq_1(D)) & r2_tarski(F,k4_finseq_1(D)) ) => ( r1_xxreal_0(F,E) | ( k7_partfun1(A,D,E) != k7_partfun1(A,D,F) & r2_hidden(k4_tarski(k7_partfun1(A,D,E),k7_partfun1(A,D,F)),C) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> r2_tarski(B,u1_pre_topc(A)) ) ) ) )).
fof(d2_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => k1_prefer_1(A,B) = k2_pcs_0(A,A,A,A,B,k3_relset_1(A,A,B)) ) )).
fof(d2_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_prelamb(A,B,C) = k4_binop_1(u1_struct_0(A),u2_prelamb(A),B,C) ) ) ) )).
fof(d2_prepower,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(1,A) => ! [C] : ( v1_xreal_0(C) => ( ( ~ r1_xxreal_0(B,k5_numbers) => ( C = k2_prepower(A,B) <=> ( k1_newton(C,A) = B & ~ r1_xxreal_0(C,k5_numbers) ) ) ) & ( B = k5_numbers => ( C = k2_prepower(A,B) <=> C = k5_numbers ) ) ) ) ) ) ) )).
fof(d2_prgcor_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( C = k2_prgcor_1(A,B) <=> ? [D] : ( v1_int_1(D) & ( B = k5_numbers => C = k5_numbers ) & ( B != k5_numbers => ( ( r1_xxreal_0(k5_numbers,A) => ( r1_xxreal_0(B,k5_numbers) | C = k1_prgcor_1(A,B) ) ) & ( ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) ) => ( ( r1_xxreal_0(k5_numbers,A) => ( r1_xxreal_0(k5_numbers,B) | ( D = k1_prgcor_1(A,k4_xcmplx_0(B)) & ( k3_xcmplx_0(k4_xcmplx_0(B),D) = A => C = k4_xcmplx_0(D) ) & ( k3_xcmplx_0(k4_xcmplx_0(B),D) != A => C = k6_xcmplx_0(k4_xcmplx_0(D),1) ) ) ) ) & ( ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k5_numbers,B) ) => ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & ~ ( D = k1_prgcor_1(k4_xcmplx_0(A),B) & ( k3_xcmplx_0(B,D) = k4_xcmplx_0(A) => C = k4_xcmplx_0(D) ) & ( k3_xcmplx_0(B,D) != k4_xcmplx_0(A) => C = k6_xcmplx_0(k4_xcmplx_0(D),1) ) ) ) & ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) ) => C = k1_prgcor_1(k4_xcmplx_0(A),k4_xcmplx_0(B)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_prgcor_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( r2_hidden(A,B) => k1_prgcor_2(A,B,C,D,E) = C ) & ( A = B => k1_prgcor_2(A,B,C,D,E) = D ) & ~ ( ~ r2_hidden(A,B) & A != B & k1_prgcor_2(A,B,C,D,E) != E ) ) )).
fof(d2_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( C = k2_prob_1(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k9_setfam_1(A),C,D) = k3_subset_1(A,k8_nat_1(k9_setfam_1(A),B,D)) ) ) ) ) )).
fof(d2_prob_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_prob_2(A) <=> ! [B] : ! [C] : ( B != C => r1_xboole_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) )).
fof(d2_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( C = k2_prob_3(A,B) <=> ( k1_prob_2(A,k9_setfam_1(A),C,k5_numbers) = k1_prob_2(A,k9_setfam_1(A),B,k5_numbers) & ! [D] : ( v7_ordinal1(D) => k1_prob_2(A,k9_setfam_1(A),C,k1_nat_1(D,1)) = k6_prob_1(A,k9_setfam_1(A),k1_prob_2(A,k9_setfam_1(A),C,D),k1_prob_2(A,k9_setfam_1(A),B,k1_nat_1(D,1))) ) ) ) ) ) )).
fof(d2_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( k1_funct_1(C,A) = 1 => k3_prob_4(A,B,C) = C ) ) ) ) )).
fof(d2_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_projdes1(A,B,C,D,E) <=> ( ~ r1_collsp(A,C,D,E) & ~ r1_collsp(A,B,C,D) & ~ r1_collsp(A,B,D,E) & ~ r1_collsp(A,B,E,C) ) ) ) ) ) ) ) )).
fof(d2_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( r2_projpl_1(A,B,C,D) <=> ( r1_incsp_1(A,B,C) & r1_incsp_1(A,B,D) ) ) ) ) ) ) )).
fof(d2_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => k1_projred2(A,B) = a_2_0_projred2(A,B) ) ) )).
fof(d2_prvect_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(C,A),k4_finseq_2(C,A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)))) ) => ( D = k3_prvect_1(A,B,C) <=> ! [E] : ( m2_finseq_2(E,A,k4_finseq_2(C,A)) => k3_funct_2(k4_finseq_2(C,A),k4_finseq_2(C,A),D,E) = k4_finseqop(A,A,E,B) ) ) ) ) ) ) )).
fof(d2_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_prvect_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,k4_card_3(A)),k4_card_3(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,k4_card_3(A)),k4_card_3(A)))) ) => ( D = k2_prvect_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,k4_card_3(A)) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(A)) => k8_prvect_1(A,k2_binop_1(B,k4_card_3(A),k4_card_3(A),D,E,F),G) = k2_binop_1(B,k1_funct_1(A,G),k1_funct_1(A,G),k1_prvect_2(A,B,C,G),E,k8_prvect_1(A,F,G)) ) ) ) ) ) ) ) ) )).
fof(d2_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) => ( C = k2_prvect_3(A,B) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k1_binop_1(C,D,k1_domain_1(u1_struct_0(A),u1_struct_0(B),E,F)) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k1_rlvect_1(A,E,D),k1_rlvect_1(B,F,D)) ) ) ) ) ) ) ) )).
fof(d2_pscomp_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k2_pscomp_1(A,B) = k2_seq_4(k7_relset_1(u1_struct_0(A),k1_numbers,B,u1_struct_0(A))) ) ) )).
fof(d2_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( m2_pua2mss1(B,A) <=> ( m1_eqrel_1(k10_xtuple_0(B),A) & v2_funct_1(B) ) ) ) )).
fof(d2_pythtrip,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) <=> ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ~ ( r1_nat_d(C,A) & r1_nat_d(C,B) ) ) ) ) ) )).
fof(d2_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k2_pzfmisc1(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k2_tarski(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d2_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => k1_qc_lang1(A) = k10_xtuple_0(A) ) )).
fof(d2_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k2_qc_lang2(A,B,C) = k13_qc_lang1(A,k14_qc_lang1(A,B,k13_qc_lang1(A,C))) ) ) ) )).
fof(d2_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => k2_qc_lang3(A,B) = k4_tarski(4,B) ) ) )).
fof(d2_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k9_qc_lang1(A)) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) ) => ( C = k2_qc_lang4(A,B) <=> ( k1_funct_1(C,k1_xboole_0) = B & ! [D] : ( m1_trees_1(D,k9_xtuple_0(C)) => k2_trees_9(C,D) = k1_qc_lang4(A,k3_trees_2(k9_qc_lang1(A),C,D)) ) ) ) ) ) ) )).
fof(d2_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_qc_lang1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( v2_qc_trans(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(B))) => ( C = D => v1_henmodel(D,B) ) ) ) ) ) ) )).
fof(d2_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => k2_qmax_1(A) = u1_qmax_1(A) ) )).
fof(d2_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v4_quantal1(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) = B ) ) ) ) )).
fof(d2_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => k6_quatern2(A) = k5_quatern2(k2_quatern2,A) ) )).
fof(d2_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k3_quatern3(A) = k22_quaterni(k22_quaterni(A,A),A) ) )).
fof(d2_quaterni,axiom,( ! [A] : ( v1_quaterni(A) <=> r2_tarski(A,k1_quaterni) ) )).
fof(d2_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ! [C] : ( m2_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => k2_quofield(A,B,C) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),k1_algstr_0(A,k6_algstr_0(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),B),k3_domain_1(u1_struct_0(A),u1_struct_0(A),C)),k6_algstr_0(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),C),k3_domain_1(u1_struct_0(A),u1_struct_0(A),B))),k6_algstr_0(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),B),k3_domain_1(u1_struct_0(A),u1_struct_0(A),C))) ) ) ) )).
fof(d2_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => k2_radix_1(A) = a_1_0_radix_1(A) ) )).
fof(d2_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => k2_radix_3(A) = a_1_1_radix_3(A) ) )).
fof(d2_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(C)) ) => ( D = k2_radix_5(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k4_radix_1(E,C,A,D) = k1_radix_5(E,B,C) ) ) ) ) ) ) ) )).
fof(d2_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,2)) & m2_finseq_1(D,k3_radix_1(B)) ) => ( D = k2_radix_6(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k2_finseq_1(k2_xcmplx_0(A,2))) => k4_radix_1(E,B,k2_xcmplx_0(A,2),D) = k1_radix_6(E,A,B,C) ) ) ) ) ) ) ) )).
fof(d2_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( v2_funct_1(D) & r1_ordinal1(k4_card_1(A),k1_card_1(B)) ) => ( v1_xboole_0(B) | v1_xboole_0(C) | ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_group_10(B,A),k3_group_10(C,A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(B,A),k3_group_10(C,A)))) ) => ( E = k1_ramsey_1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k3_group_10(B,A)) => k1_funct_1(E,F) = k7_relat_1(D,F) ) ) ) ) ) ) ) )).
fof(d2_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( m1_random_1(C,A,B) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) & D = A & r1_mesfunc6(A,B,C,D) ) ) ) ) ) )).
fof(d2_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( m2_prob_1(E,k2_zfmisc_1(A,B),k1_random_1(k2_zfmisc_1(A,B))) => ( E = k2_random_2(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,B) ) => k1_binop_1(F,G,H) = k1_extreal1(k12_supinf_2(C,k1_tarski(G)),k12_supinf_2(D,k1_tarski(H))) ) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(E,G) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,G,F) ) ) ) ) ) ) ) ) )).
fof(d2_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v7_vectsp_1(E,A) & m1_vectsp_4(E,A,C) ) => ( E = k3_ranknull(A,B,C,D) <=> k2_struct_0(E) = k2_ranknull(B,C,D,k2_struct_0(B)) ) ) ) ) ) ) )).
fof(d2_rat_1,axiom,( ! [A] : ( v1_rat_1(A) <=> r2_hidden(A,k3_numbers) ) )).
fof(d2_rcomp_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k2_rcomp_1(A,B) = a_2_1_rcomp_1(A,B) ) ) )).
fof(d2_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) => ( ( m1_setfam_1(C,u1_struct_0(k4_topmetr(A,B))) & v1_tops_2(C,k4_topmetr(A,B)) & v1_rcomp_3(C,k4_topmetr(A,B)) & r1_xxreal_0(A,B) ) => ! [D] : ( m2_finseq_1(D,k9_setfam_1(k1_numbers)) => ( m1_rcomp_3(D,A,B,C) <=> ( r1_tarski(k2_relset_1(k9_setfam_1(k1_numbers),D),C) & k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),D)) = k1_rcomp_1(A,B) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( ~ ( r1_xxreal_0(E,k3_finseq_1(D)) & v1_xboole_0(k7_partfun1(k9_setfam_1(k1_numbers),D,E)) ) & ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(D)) => ( r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,E)),k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,k1_nat_1(E,1)))) & r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,E)),k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,k1_nat_1(E,1)))) & ~ r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,E)),k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,k1_nat_1(E,1)))) ) ) & ( r1_xxreal_0(k1_nat_1(E,2),k3_finseq_1(D)) => r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,E)),k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,k1_nat_1(E,2)))) ) ) ) ) & ( r2_tarski(k1_rcomp_1(A,B),C) => D = k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)) ) & ( ~ r2_tarski(k1_rcomp_1(A,B),C) => ( ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,A) & r1_xxreal_0(E,B) & k1_funct_1(D,1) = k3_rcomp_1(A,E) ) & ? [E] : ( v1_xreal_0(E) & r1_xxreal_0(A,E) & ~ r1_xxreal_0(B,E) & k1_funct_1(D,k3_finseq_1(D)) = k4_rcomp_1(E,B) ) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(E,1) & ~ r1_xxreal_0(k3_finseq_1(D),E) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( r1_xxreal_0(A,F) & ~ r1_xxreal_0(G,F) & r1_xxreal_0(G,B) & k1_funct_1(D,E) = k2_rcomp_1(F,G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( C = k2_real_3(A,B) <=> ( k8_nat_1(k4_ordinal1,C,k5_numbers) = k3_nat_d(A,B) & k8_nat_1(k4_ordinal1,C,1) = k3_nat_d(B,k4_nat_d(A,B)) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k4_ordinal1,C,k1_nat_1(D,2)) = k3_nat_d(k8_nat_1(k4_ordinal1,k1_real_3(A,B),D),k8_nat_1(k4_ordinal1,k1_real_3(A,B),k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(d2_real_lat,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) ) => ( A = k2_real_lat <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_binop_1(A,B,C) = k4_xxreal_0(B,C) ) ) ) ) )).
fof(d2_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k1_euclid(A)),k1_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)),k1_euclid(A)))) ) => ( B = k2_real_ns1(A) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k1_binop_1(B,C,D) = k9_euclid(A,D,C) ) ) ) ) ) )).
fof(d2_realset1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : k1_realset1(A,B) = k5_relat_1(A,k2_zfmisc_1(B,B)) ) )).
fof(d2_realset2,axiom,( k2_realset2 = k1_funct_4(k1_funct_4(k1_funct_4(k13_funcop_1(k5_numbers,k5_numbers,k5_numbers),k13_funcop_1(k5_numbers,1,k5_numbers)),k13_funcop_1(1,k5_numbers,k5_numbers)),k13_funcop_1(1,1,1)) )).
fof(d2_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k8_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k8_struct_0(A)),u1_struct_0(A)))) ) => ( B = k2_realset3(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),k8_struct_0(A)) => k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),B,C,D) = k1_binop_1(k4_realset2(A),C,k3_funct_2(k8_struct_0(A),k8_struct_0(A),k5_realset2(A),D)) ) ) ) ) ) )).
fof(d2_rearran1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v2_rearran1(A) <=> ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k6_xcmplx_0(k3_finseq_1(A),1)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k1_nat_1(B,1))) ) ) ) ) )).
fof(d2_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( A = B <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),A) <=> r2_hidden(k4_tarski(C,D),B) ) ) ) ) )).
fof(d2_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r2_relat_2(A,B) <=> ! [C] : ~ ( r2_hidden(C,B) & r2_hidden(k4_tarski(C,C),A) ) ) ) )).
fof(d2_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( r2_relset_1(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,B) => ( r2_hidden(k4_tarski(E,F),C) <=> r2_hidden(k4_tarski(E,F),D) ) ) ) ) ) ) )).
fof(d2_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k5_relset_2(A,B,C,D) = k8_setfam_1(B,k7_relset_1(k9_setfam_1(A),k9_setfam_1(B),k4_relset_2(B,A,D),k10_eqrel_1(C))) ) ) )).
fof(d2_revrot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( r1_revrot_1(A,B,C) <=> ? [D] : ( r2_tarski(D,k4_finseq_1(B)) & C = k7_partfun1(A,B,D) & ! [E] : ~ ( r2_tarski(E,k4_finseq_1(B)) & E != D & k7_partfun1(A,B,E) = C ) ) ) ) ) )).
fof(d2_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m1_rewrite1(B,A) <=> ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(B)) ) => r2_hidden(k4_tarski(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,1))),A) ) ) ) ) ) ) )).
fof(d2_rewrite2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_rewrite2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_rewrite2(C) ) => ( C = k1_rewrite2(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(B) & ! [D] : ( r2_tarski(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k1_ordinal4(A,k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d2_rewrite3,axiom,( ! [A] : ! [B] : ( l1_rewrite3(B,A) => ! [C] : ! [D] : ! [E] : ( r1_rewrite3(A,B,C,D,E) <=> r2_hidden(k4_tarski(k4_tarski(C,D),E),u1_rewrite3(A,B)) ) ) )).
fof(d2_rfinseq,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k3_rfinseq(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(A,k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k6_xcmplx_0(k3_finseq_1(B),1)) ) => k1_funct_1(B,C) = k6_xcmplx_0(k1_funct_1(A,C),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) ) )).
fof(d2_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ( B = k2_rfinseq2(A) <=> ( ( k3_finseq_1(A) = k5_numbers => B = k5_numbers ) & ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(C,k4_finseq_1(A)) & D = k1_funct_1(A,C) & E = k1_funct_1(A,B) ) => r1_xxreal_0(E,D) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,C) = k1_funct_1(A,B) ) => r1_xxreal_0(B,C) ) ) ) ) ) ) ) ) )).
fof(d2_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k4_rfunct_1(A) <=> ( k9_xtuple_0(B) = k6_subset_1(k9_xtuple_0(A),k8_relat_1(A,k1_tarski(k5_numbers))) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k5_xcmplx_0(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d2_rfunct_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v6_valued_0(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(B,k1_relset_1(k1_numbers,A)) & r2_hidden(C,k1_relset_1(k1_numbers,A)) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d2_rfunct_3,axiom,( ! [A] : ( v1_xreal_0(A) => k2_rfunct_3(A) = k4_xxreal_0(k4_xcmplx_0(A),k5_numbers) ) )).
fof(d2_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r2_rfunct_4(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,B) & r2_hidden(E,B) & r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)),B) & ~ r1_xxreal_0(k1_funct_1(A,k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E))),k4_xxreal_0(k1_funct_1(A,D),k1_funct_1(A,E))) ) ) ) ) ) ) ) )).
fof(d2_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k2_rinfsup1(A) = k3_seq_4(k2_relset_1(k1_numbers,A)) ) )).
fof(d2_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => k2_rinfsup2(A) = k7_supinf_2(k15_supinf_2(A)) ) )).
fof(d2_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_ring_1(B,A) <=> ( v1_subset_1(B,u1_struct_0(A)) & v1_ring_1(B,A) ) ) ) ) )).
fof(d2_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => k1_ringcat1(A) = u1_ringcat1(A) ) )).
fof(d2_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_rlvect_2(D,A) => ( ( C != k5_numbers => ( D = k2_rlaffin1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_rlvect_1(A,E,k5_xcmplx_0(C))) ) ) ) & ( C = k5_numbers => ( D = k2_rlaffin1(A,B,C) <=> r1_rlvect_2(A,D,k4_rlvect_2(A)) ) ) ) ) ) ) ) )).
fof(d2_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_orders_1(u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A)))) ) => ( B = k2_rlaffin2(A) <=> ( ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k1_funct_1(B,C) = k1_rlvect_1(A,k2_rlvect_2(A,C),k7_xcmplx_0(1,k4_card_1(C))) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_finset_1(C) => k1_funct_1(B,C) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(d2_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_rlaffin3(C,A,B) => ! [D] : k1_rlaffin3(A,B,C,D) = k4_finseqop(u1_struct_0(A),k1_numbers,C,k5_rlaffin1(A,B,D)) ) ) ) )).
fof(d2_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( m1_rlsub_1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & k4_struct_0(B) = k4_struct_0(A) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u1_rlvect_1(B) = k5_relat_1(u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B))) ) ) ) ) )).
fof(d2_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( ( v1_rlvect_1(D) & m1_rlsub_1(D,A) ) => ( D = k2_rlsub_2(A,B,C) <=> u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) ) ) ) ) )).
fof(d2_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_rltopsp1(A,B,C) = a_3_1_rltopsp1(A,B,C) ) ) ) )).
fof(d2_rlvect_1,axiom,( ! [A] : ( l1_algstr_0(A) => ( v2_rlvect_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,B,C) = k1_algstr_0(A,C,B) ) ) ) ) )).
fof(d2_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k2_rlvect_2(A,B) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & k2_relset_1(u1_struct_0(A),D) = B & v2_funct_1(D) & C = k4_rlvect_1(A,D) ) ) ) ) ) ) )).
fof(d2_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => ( C = k1_rlvect_3(A,B) <=> u1_struct_0(C) = a_2_0_rlvect_3(A,B) ) ) ) ) )).
fof(d2_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_rlvect_5(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k1_rlvect_5(A) <=> ! [C] : ( m1_rlvect_3(C,A) => B = k1_card_1(C) ) ) ) ) ) )).
fof(d2_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_rlvect_x(A,B) = a_2_0_rlvect_x(A,B) ) ) )).
fof(d2_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,A) & l1_vectsp_2(C,A) ) => ( m1_rmod_2(C,A,B) <=> ( r1_tarski(u1_struct_0(C),u1_struct_0(B)) & k4_struct_0(C) = k4_struct_0(B) & u1_algstr_0(C) = k5_relat_1(u1_algstr_0(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C))) & u1_vectsp_2(A,C) = k5_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A))) ) ) ) ) ) )).
fof(d2_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( ( v2_vectsp_2(E,A) & m1_rmod_2(E,A,B) ) => ( E = k2_rmod_3(A,B,C,D) <=> u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) ) ) ) ) ) ) )).
fof(d2_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m2_funct_2(C,u1_struct_0(B),u1_struct_0(A),k9_funct_2(u1_struct_0(B),u1_struct_0(A))) => ( m1_rmod_4(C,A,B) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r2_tarski(E,D) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(d2_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ( v2_robbins3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,C,k2_lattices(A,B,D)) ) ) ) ) ) )).
fof(d2_roughs_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v2_finsub_1(B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k9_subset_1(A,C,D),B) ) ) ) ) ) )).
fof(d2_rpr_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k2_rpr_1(A,B,C) = k7_xcmplx_0(k1_rpr_1(A,k9_subset_1(A,C,B)),k1_rpr_1(A,B)) ) ) ) )).
fof(d2_rsspace3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_rsspace3,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_rsspace3,k1_numbers))) ) => ( A = k2_rsspace3 <=> ! [B] : ( r2_hidden(B,k1_rsspace3) => k1_funct_1(A,B) = k4_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(B))) ) ) ) )).
fof(d2_rsspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_rsspace4,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_rsspace4,k1_numbers))) ) => ( A = k2_rsspace4 <=> ! [B] : ( r2_hidden(B,k1_rsspace4) => k1_funct_1(A,B) = k2_seq_4(k2_relset_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(B)))) ) ) ) )).
fof(d2_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_bhsp_1(B) & m1_rusub_1(B,A) ) => ( B = k1_rusub_1(A) <=> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) ) )).
fof(d2_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( ( v1_bhsp_1(D) & m1_rusub_1(D,A) ) => ( D = k2_rusub_2(A,B,C) <=> u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) ) ) ) ) )).
fof(d2_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_rusub_3(B,A) <=> ( v1_rlvect_3(B,A) & k1_rusub_3(A,B) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) ) ) ) ) )).
fof(d2_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v1_rusub_4(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k1_rusub_4(A) <=> ! [C] : ( m1_rusub_3(C,A) => B = k1_card_1(C) ) ) ) ) ) )).
fof(d2_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_rusub_5(A,B,C) = a_3_0_rusub_5(A,B,C) ) ) ) )).
fof(d2_rvsum_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k2_rvsum_1 <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k1_square_1(B) ) ) ) )).
fof(d2_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k3_rvsum_2(A,B) = k3_funcop_1(k3_binop_2,A,B) ) ) )).
fof(d2_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k1_rvsum_3(A) = k7_xcmplx_0(k16_rvsum_1(A),k3_finseq_1(A)) ) )).
fof(d2_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => k4_scm_comp(A) = A ) )).
fof(d2_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v2_scm_halt(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_tarski(A,C) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,D),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) )).
fof(d2_scm_inst,axiom,( k3_scm_inst = k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k3_xtuple_0(k1_scm_inst,k1_xboole_0,k1_xboole_0)),a_0_0_scm_inst),a_0_1_scm_inst),a_0_2_scm_inst) )).
fof(d2_scmbsort,axiom,( k2_scmbsort = k1_scmbsort(k5_scmfsa_2(k5_numbers)) )).
fof(d2_scmfsa6c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k1_scmfsa6c(A,B) = k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k7_sf_mastr(k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(A,B))),A),k6_scmfsa_2(A,B)),k6_scmfsa_2(B,k7_sf_mastr(k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(A,B))))) ) ) )).
fof(d2_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( r2_scmfsa7b(A,B) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & r2_tarski(C,k10_xtuple_0(A)) & r1_scmfsa7b(C,B) ) ) ) ) )).
fof(d2_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r1_scmfsa8a(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),D)) = k4_card_1(C) & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E)),k2_afinsq_1(C)) ) ) ) ) ) ) ) )).
fof(d2_scmfsa8b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => k2_scmfsa8b(A,B,C) = k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(k3_scmfsa6a(k13_scmfsa_2(k1_nat_1(k4_card_1(C),3),A),C),k1_scmfsa8a(k1_nat_1(k4_card_1(B),1))),B),k4_compos_1(k1_scmfsa_2)) ) ) ) )).
fof(d2_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( r2_scmfsa9a(A,B,C,D) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(B,D,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(B,D,C,A),k1_nat_1(F,1)))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(B,D,C,A),F),C) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d2_scmfsa_1,axiom,( k1_scmfsa_1 = k2_xboole_0(k1_ami_2,k1_scmfsa_i) )).
fof(d2_scmfsa_7,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( ( ~ r1_xxreal_0(B,k5_numbers) => ( C = k2_scmfsa_7(A,B) <=> ? [D] : ( v7_ordinal1(D) & k1_nat_1(D,1) = B & C = k1_ordinal4(k5_afinsq_1(k6_scmfsa_2(A,k4_scmfsa_2(k5_numbers))),k8_funcop_1(u1_compos_1(k1_scmfsa_2),D,k7_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))) ) ) ) & ( r1_xxreal_0(B,k5_numbers) => ( C = k2_scmfsa_7(A,B) <=> ? [D] : ( v7_ordinal1(D) & k2_xcmplx_0(D,B) = 1 & C = k1_ordinal4(k5_afinsq_1(k6_scmfsa_2(A,k4_scmfsa_2(k5_numbers))),k8_funcop_1(u1_compos_1(k1_scmfsa_2),D,k8_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))) ) ) ) ) ) ) ) )).
fof(d2_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) => ( E = k2_scmfsa_9(A,B,C,D) <=> ( r6_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,k5_numbers),A) & ! [F] : ( v7_ordinal1(F) => r6_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,k1_nat_1(F,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k4_scmfsa_x(C,B)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,F)),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(D,k4_scmfsa_x(C,B)),B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),E,F))),2))) ) ) ) ) ) ) ) ) )).
fof(d2_scmfsa_i,axiom,( k2_scmfsa_i = k2_xboole_0(k2_xboole_0(k3_scm_inst,a_0_0_scmfsa_i),a_0_1_scmfsa_i) )).
fof(d2_scmfsa_m,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ( v1_scmfsa_m(A) <=> A = k4_scmfsa_2(k5_numbers) ) ) )).
fof(d2_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k2_scmfsa_x(A,B) = k2_scmfsa6a(k2_scmfsa6a(k3_scmfsa6a(k13_scmfsa_2(3,A),k1_scmfsa8a(k1_nat_1(k4_card_1(B),1))),B),k4_compos_1(k1_scmfsa_2)) ) ) )).
fof(d2_scmisort,axiom,( ! [A] : ( m1_scmfsa_2(A) => k2_scmisort(A) = k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(k5_numbers)),k6_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(k4_scmfsa_2(4),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(1),A)),k8_scmfsa_2(k4_scmfsa_2(1),k4_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(1),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(2),A),k8_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(1))),k6_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(2))),k7_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(3),A)),k8_scmfsa_2(k4_scmfsa_2(4),k4_scmfsa_2(4))),k4_scmfsa_x(k4_scmfsa_2(2),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(2),A),k8_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(6))),k2_scmfsa8b(k4_scmfsa_2(5),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(2))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(4),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(4),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(3)),k8_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(2),A)),k14_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(3),A)),k15_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(2),A)),k15_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(3),A)))))) ) )).
fof(d2_scmp_gcd,axiom,( k2_scmp_gcd = k1_scmp_gcd(k5_numbers) )).
fof(d2_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k2_scmpds_4(A,B) = k1_scmpds_4(k9_compos_1(k1_scmpds_2,A),B) ) ) )).
fof(d2_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_scmpds_6(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C,k10_compos_1(k1_scmpds_2,A)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),D)),k9_xtuple_0(k10_compos_1(k1_scmpds_2,A))) ) ) ) ) ) )).
fof(d2_scmpds_7,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k2_scmpds_7(A,B,C,D) = k3_scmpds_4(k3_scmpds_4(k2_scmpds_4(k8_scmpds_2(A,B,k1_nat_1(k4_card_1(D),3)),D),k11_scmpds_2(A,B,k4_xcmplx_0(C))),k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(D),2)))) ) ) ) ) )).
fof(d2_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k1_scmpds_8(A,B,C) = k3_scmpds_4(k2_scmpds_4(k9_scmpds_2(A,B,k1_nat_1(k4_card_1(C),2)),C),k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C),1)))) ) ) ) )).
fof(d2_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m2_subset_1(C,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(C,k1_xboole_0,k12_finseq_1(k2_scm_inst,B)) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k3_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_scm_inst) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_scm_inst,C,1) ) ) ) ) ) )).
fof(d2_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,k2_scm_inst) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(8)) & B = k3_xtuple_0(E,k1_xboole_0,k2_finseq_4(k2_scm_inst,C,D)) ) ) ) => ! [C] : ( m1_subset_1(C,k2_scm_inst) => ( C = k2_scmringi(A,B) <=> ? [D] : ( m2_finseq_1(D,k2_scm_inst) & D = k2_xtuple_0(B) & C = k7_partfun1(k2_scm_inst,D,1) ) ) ) ) ) ) )).
fof(d2_scpinvar,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k2_scpinvar(A) = k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k5_scmpds_2(k1_scmp_gcd(1),k5_numbers)),k5_scmpds_2(k1_scmp_gcd(2),1)),k5_scmpds_2(k1_scmp_gcd(3),A)),k2_scmpds_8(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1))))) ) )).
fof(d2_scpisort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k1_scpisort(A,B) = k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k10_scmpds_2(k2_scmp_gcd,1,k5_numbers)),k10_scmpds_2(k2_scmp_gcd,2,k6_xcmplx_0(A,1))),k10_scmpds_2(k2_scmp_gcd,3,B)),k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))))))) ) ) )).
fof(d2_scpqsort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k2_scpqsort(A,B) = k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k5_scmpds_2(k3_scmp_gcd,1)),k10_scmpds_2(k3_scmp_gcd,k2_xcmplx_0(B,A),k1_nat_1(B,1))),k10_scmpds_2(k3_scmp_gcd,k1_nat_1(k2_xcmplx_0(B,A),1),k2_xcmplx_0(B,A))),k2_scmpds_8(k2_scmp_gcd,1,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k3_scmp_gcd,2,k1_nat_1(k2_xcmplx_0(B,A),1)),k13_scmpds_2(k2_scmp_gcd,k3_scmp_gcd,2,k2_xcmplx_0(B,A))),k3_scmpds_6(k2_scmp_gcd,2,k1_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k3_scmp_gcd,2,k2_xcmplx_0(B,A)),k16_scmpds_2(k2_scmp_gcd,k3_scmp_gcd,4,k1_nat_1(k2_xcmplx_0(B,A),1))),k1_scpqsort),k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,k1_nat_1(k2_xcmplx_0(B,A),3),k1_nat_1(k2_xcmplx_0(B,A),1)),k16_scmpds_2(k3_scmp_gcd,k2_scmp_gcd,k1_nat_1(k2_xcmplx_0(B,A),1),4)),k16_scmpds_2(k3_scmp_gcd,k2_scmp_gcd,k1_nat_1(k2_xcmplx_0(B,A),2),4)),k11_scmpds_2(k3_scmp_gcd,k1_nat_1(k2_xcmplx_0(B,A),1),k4_xcmplx_0(1))),k11_scmpds_2(k3_scmp_gcd,k1_nat_1(k2_xcmplx_0(B,A),2),1)),k11_scmpds_2(k2_scmp_gcd,1,2))),k9_compos_1(k1_scmpds_2,k11_scmpds_2(k2_scmp_gcd,1,k4_xcmplx_0(2))))))) ) ) )).
fof(d2_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_semi_af1(A,B,C,D) <=> r2_analoaf(A,B,C,B,D) ) ) ) ) ) )).
fof(d2_seq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v2_seq_2(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ~ ( r2_hidden(C,k9_xtuple_0(A)) & r1_xxreal_0(k1_funct_1(A,C),B) ) ) ) ) )).
fof(d2_seq_4,axiom,( ! [A] : ( v3_membered(A) => ( v3_xxreal_2(A) => ( v1_xboole_0(A) | ! [B] : ( v1_xreal_0(B) => ( B = k3_seq_4(A) <=> ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(B,C) ) ) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,A) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),D) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( C = k3_seqfunc(A,B) <=> ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,C,D),k6_rfunct_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,B,D))) ) ) ) ) ) )).
fof(d2_seqm_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v3_valued_0(A) ) => ( v6_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d2_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_series_1(A) <=> v2_comseq_2(k3_series_1(A)) ) ) )).
fof(d2_setfam_1,axiom,( ! [A] : ! [B] : ( r1_setfam_1(A,B) <=> ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ~ ( r2_tarski(D,B) & r1_tarski(C,D) ) ) ) )).
fof(d2_setlim_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k1_setlim_1(A) <=> ( k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k1_setfam_1(a_2_1_setlim_1(A,C)) ) ) ) ) ) )).
fof(d2_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k2_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k4_subset_1(A,k8_nat_1(k9_setfam_1(A),B,E),k8_nat_1(k9_setfam_1(A),C,E)) ) ) ) ) ) )).
fof(d2_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_setwiseo(B,A) <=> ? [C] : ( m1_subset_1(C,A) & r3_binop_1(A,C,B) ) ) ) ) )).
fof(d2_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v2_binop_1(C,A) & v1_binop_1(C,A) ) => ( ( ~ v1_setwiseo(C,A) & ~ r1_xxreal_0(1,k3_finseq_1(B)) ) | k1_finsop_1(A,B,C) = k7_setwiseo(k4_ordinal1,A,C,k3_finsop_1(B),k1_setwop_2(A,B,k3_binop_1(A,C))) ) ) ) ) ) )).
fof(d2_sf_mastr,axiom,( ! [A] : k2_sf_mastr(A) = k3_tarski(a_1_0_sf_mastr(A)) )).
fof(d2_sfmastr2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k2_sfmastr2(A,B) = k3_scmfsa6a(k6_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(A),k3_sf_mastr(B))),A),k1_sfmastr2(A,B)) ) ) )).
fof(d2_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(F,u1_struct_0(k1_scmfsa_2)) ) => ( r1_sfmastr3(A,B,C,D,E,F) <=> ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(F,D),k1_funct_1(F,C)),1),G) => r5_scmfsa7b(E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(A,B,C,D,E,F),G),k1_funct_4(A,k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(E))),k4_scmfsa6a(k4_scmfsa6a(E,k7_scmfsa_2(B,k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(E))),k4_scmfsa_2(k5_numbers)))))) ) ) ) ) ) ) ) ) ) )).
fof(d2_sgraph1,axiom,( ! [A] : k2_sgraph1(A) = a_1_0_sgraph1(A) )).
fof(d2_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v1_sheffer1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k1_sheffer1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_lattices(A,B,C) = C & k2_lattices(A,C,B) = C ) ) ) ) ) ) )).
fof(d2_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ( D = k3_simplex0(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( r2_tarski(E,D) <=> ( r2_tarski(E,B) & r1_tarski(k1_card_1(E),C) ) ) ) ) ) )).
fof(d2_simplex1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => k2_simplex1(A,B,C) = C ) ) ) )).
fof(d2_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( l1_pre_topc(B) => ( v1_simplex2(B,A) <=> ? [C] : ( v1_xreal_0(C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,u1_pre_topc(B)) => ( v6_tbsp_1(D,A) & r1_xxreal_0(k2_tbsp_1(A,D),C) ) ) ) ) ) ) ) )).
fof(d2_sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k2_sin_cos <=> ( k8_nat_1(k1_numbers,A,k5_numbers) = 1 & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,k1_nat_1(B,1)) = k3_xcmplx_0(k8_nat_1(k1_numbers,A,B),k1_nat_1(B,1)) ) ) ) ) )).
fof(d2_sin_cos2,axiom,( ! [A] : k2_sin_cos2(A) = k1_funct_1(k1_sin_cos2,A) )).
fof(d2_sin_cos3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k2_sin_cos3 <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k7_xcmplx_0(k2_xcmplx_0(k15_sin_cos(k3_xcmplx_0(k7_complex1,B)),k15_sin_cos(k4_xcmplx_0(k3_xcmplx_0(k7_complex1,B)))),2) ) ) ) )).
fof(d2_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => k2_sin_cos4(A) = k7_xcmplx_0(k19_sin_cos(A),k17_sin_cos(A)) ) )).
fof(d2_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k2_sin_cos5(A) = k7_xcmplx_0(1,k4_sin_cos2(A)) ) )).
fof(d2_sin_cos6,axiom,( ! [A] : k2_sin_cos6(A) = k1_funct_1(k1_sin_cos6,A) )).
fof(d2_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => k2_sin_cos7(A) = k3_power(k4_power,k2_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1)))) ) )).
fof(d2_sin_cos9,axiom,( k2_sin_cos9 = k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(d2_sincos10,axiom,( k2_sincos10 = k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(d2_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_sppol_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => k18_euclid(B) = k18_euclid(C) ) ) ) ) ) )).
fof(d2_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal4(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & r1_sppol_2(B,C,A) ) ) ) ) )).
fof(d2_sprect_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v1_sprect_1(A) <=> ? [B] : ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = k1_sprect_1(B) ) ) ) )).
fof(d2_sprect_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_sprect_2(A,B) <=> ( r1_sprect_2(A,B) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) = k6_pscomp_1(k3_topreal1(2,A)) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) = k8_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d2_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k5_numbers,A) => ! [B] : ( v1_xreal_0(B) => ( B = k3_square_1(A) <=> ( r1_xxreal_0(k5_numbers,B) & k1_square_1(B) = A ) ) ) ) ) )).
fof(d2_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v2_srings_1(B,A) <=> ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ~ ( ~ v1_xboole_0(k6_subset_1(C,D)) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ~ m1_eqrel_1(E,k6_subset_1(C,D)) ) ) ) ) ) ) )).
fof(d2_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ( m1_stacks_1(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,k8_eqrel_1(B,C)),k8_eqrel_1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,k8_eqrel_1(B,C)),k8_eqrel_1(B,C)))) ) => ( E = k3_stacks_1(A,B,C,D) <=> ! [F] : ! [G] : ! [H] : ( ( r2_tarski(F,A) & r2_tarski(G,k8_eqrel_1(B,C)) & r2_tarski(H,G) ) => k1_binop_1(E,F,G) = k6_eqrel_1(B,B,C,k1_binop_1(D,F,H)) ) ) ) ) ) ) ) ) )).
fof(d2_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k3_stirl2_1(A,B) = k1_card_1(a_2_0_stirl2_1(A,B)) ) ) )).
fof(d2_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => k1_struct_0(A) = k1_xboole_0 ) )).
fof(d2_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ! [E] : ( m1_valuat_1(E,A,C) => ( r1_sublemma(A,B,C,D,E) <=> r1_valuat_1(A,C,k2_sublemma(A,B),E,D) ) ) ) ) ) ) )).
fof(d2_subset_1,axiom,( ! [A] : k1_subset_1(A) = k1_xboole_0 )).
fof(d2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => k3_substlat(A,B,C) = a_3_0_substlat(A,B,C) ) )).
fof(d2_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_substut1(A)) => k2_substut1(A,B) = B ) ) )).
fof(d2_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => k6_substut2(A) = k5_relat_1(k15_substut1(A),k38_substut1(A)) ) )).
fof(d2_supinf_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ( B = k4_supinf_1(A) <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,B) <=> m2_xxreal_2(C,A) ) ) ) ) ) )).
fof(d2_supinf_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => k11_supinf_2(A,B,C,D) = k7_supinf_2(k2_relset_1(C,D)) ) ) ) )).
fof(d2_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F = k1_symsp_1(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_orders_2(B,k5_algstr_0(B,E,k3_vectsp_1(A,B,G,D)),C) => F = G ) ) ) ) ) ) ) ) ) ) )).
fof(d2_t_0topsp,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_t_0topsp(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(D,A) => v3_pre_topc(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(d2_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k2_t_1topsp(A) = k11_borsuk_1(A,k12_eqrel_1(u1_struct_0(A),k1_t_1topsp(A))) ) )).
fof(d2_tarski,axiom,( ! [A] : ! [B] : ! [C] : ( C = k2_tarski(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( D = A | D = B ) ) ) )).
fof(d2_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ( m2_taxonom1(B,A) <=> ( m1_taxonom1(B,A) & r2_tarski(k1_tarski(A),B) & r2_tarski(k10_eqrel_1(A),B) ) ) ) ) )).
fof(d2_taxonom2,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_taxonom2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,D,B) & r1_orders_2(A,D,C) ) & ~ r1_orders_2(A,B,C) & ~ r1_orders_2(A,C,B) ) ) ) ) ) )).
fof(d2_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( B = k2_taylor_1(A) <=> ( k1_relset_1(k1_numbers,B) = k3_limfunc1(k5_numbers) & ! [C] : ( m2_subset_1(C,k1_numbers,k3_limfunc1(k5_numbers)) => k1_funct_1(B,C) = k3_power(A,C) ) ) ) ) ) )).
fof(d2_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_tbsp_1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k1_metric_1(A,k8_nat_1(u1_struct_0(A),B,F),C)) ) ) ) ) ) ) ) ) )).
fof(d2_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) => ( B = k1_tdgroup(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_hidden(k4_tarski(k4_tarski(C,D),k4_tarski(E,F)),B) <=> k1_algstr_0(A,C,F) = k1_algstr_0(A,D,E) ) ) ) ) ) ) ) ) )).
fof(d2_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)))) ) => ( B = k2_tdlat_1(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_tdlat_1(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_tdlat_1(A)) => k4_binop_1(k1_tdlat_1(A),B,C,D) = k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D))),k4_subset_1(u1_struct_0(A),C,D)) ) ) ) ) ) )).
fof(d2_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_tdlat_3(A) <=> u1_pre_topc(A) = k2_tarski(k1_xboole_0,u1_struct_0(A)) ) ) )).
fof(d2_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r1_termord(A,B,C,D) <=> r2_hidden(k4_tarski(C,D),B) ) ) ) ) ) )).
fof(d2_tex_1,axiom,( ! [A] : k1_tex_1(A) = k2_tarski(k1_xboole_0,A) )).
fof(d2_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) ) => ( C = k1_tex_2(A,B) <=> u1_struct_0(C) = k6_domain_1(u1_struct_0(A),B) ) ) ) ) )).
fof(d2_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tex_3(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v1_tops_3(C,A) ) ) ) ) ) )).
fof(d2_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tex_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(D,A) & r2_tarski(C,D) & r2_tarski(C,B) ) => r1_tarski(B,D) ) ) ) ) ) ) )).
fof(d2_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( D = k3_tietze_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( r2_tarski(E,D) <=> ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(A)) => r2_tarski(k1_funct_1(E,F),k1_rcomp_1(k6_xcmplx_0(k1_funct_1(B,F),k1_funct_1(C,F)),k2_xcmplx_0(k1_funct_1(B,F),k1_funct_1(C,F)))) ) ) ) ) ) ) ) ) ) )).
fof(d2_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_tmap_1(A,B,C,D) <=> ! [E] : ( m1_connsp_2(E,B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) => ? [F] : ( m1_connsp_2(F,A,D) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) )).
fof(d2_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_toler_1(C,A,B) => ( v1_toler_1(C,A,B) <=> ! [D] : ~ ( ~ r2_tarski(D,C) & r2_tarski(D,A) & ! [E] : ~ ( r2_tarski(E,C) & ~ r2_hidden(k4_tarski(D,E),B) ) ) ) ) ) )).
fof(d2_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_topalg_1(A,B) = k1_topalg_1(A,B,B) ) ) )).
fof(d2_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(B)))) ) => ( E = k1_topalg_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(A))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(A))) => ( ( H = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),C,F) & I = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),D,F) ) => k1_binop_1(E,F,G) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),H,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(A),I,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D))))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D))))))) ) => ( E = k11_topalg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D)))) => ? [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D),k4_borsuk_1(A,B,C,D)) & F = k6_eqrel_1(k2_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D)),k2_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D)),k4_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D)),G) & k3_funct_2(u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D)))),E,F) = k10_finseq_1(k6_eqrel_1(k2_topalg_1(A,C),k2_topalg_1(A,C),k4_topalg_1(A,C),k9_topalg_4(A,B,C,D,G)),k6_eqrel_1(k2_topalg_1(B,D),k2_topalg_1(B,D),k4_topalg_1(B,D),k10_topalg_4(A,B,C,D,G))) ) ) ) ) ) ) ) ) )).
fof(d2_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( F = k3_topalg_5(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(C),F,G) = k1_binop_1(D,G,E) ) ) ) ) ) ) ) ) )).
fof(d2_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_topalg_6(A) <=> ( v1_topalg_6(A) & v1_borsuk_2(A) ) ) ) )).
fof(d2_topalg_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( E = k2_topalg_7(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,A) => k3_funct_2(A,u1_struct_0(B),E,F) = k6_algstr_0(B,k3_funct_2(A,u1_struct_0(B),C,F),k3_funct_2(A,u1_struct_0(B),D,F)) ) ) ) ) ) ) ) )).
fof(d2_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_topdim_1(B,A) <=> ? [C] : ( v7_ordinal1(C) & r2_tarski(B,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),C)) ) ) ) ) )).
fof(d2_topdim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( v1_xxreal_0(C) => ( ( v1_topdim_2(B,A) => ( C = k1_topdim_2(A,B) <=> ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( r2_hidden(k1_xxreal_3(C,1),k1_card_1(D)) & r1_tarski(D,B) ) => v1_xboole_0(k6_setfam_1(A,D)) ) ) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & r1_tarski(D,B) & k1_card_1(D) = k1_xxreal_3(C,1) & ~ ( v1_xboole_0(k6_setfam_1(A,D)) & ~ v1_xboole_0(D) ) ) ) ) ) & ( ~ v1_topdim_2(B,A) => ( C = k1_topdim_2(A,B) <=> C = k1_xxreal_0 ) ) ) ) ) )).
fof(d2_topgen_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r1_topgen_1(A,B,C) <=> r2_hidden(C,k2_pre_topc(A,k7_subset_1(u1_struct_0(A),B,k1_tarski(C)))) ) ) ) )).
fof(d2_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( v1_card_1(B) => ( B = k2_topgen_2(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_ordinal1(k1_topgen_2(A,C),B) ) & ! [C] : ( v1_card_1(C) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_ordinal1(k1_topgen_2(A,D),C) ) => r1_ordinal1(B,C) ) ) ) ) ) ) )).
fof(d2_topgen_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( A = k2_topgen_3 <=> ( u1_struct_0(A) = k1_numbers & ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) & u1_pre_topc(A) = k1_cantor_1(k1_numbers,B) & B = a_0_0_topgen_3 ) ) ) ) )).
fof(d2_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_topgen_4(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(C,A) => r2_tarski(C,B) ) ) ) ) ) )).
fof(d2_topgen_5,axiom,( k2_topgen_5 = a_0_1_topgen_5 )).
fof(d2_topgen_6,axiom,( k2_topgen_6 = a_0_0_topgen_6 )).
fof(d2_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k2_topgrp_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k6_algstr_0(A,D,B) ) ) ) ) ) )).
fof(d2_topmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_metric_1(C) & m1_topmetr(C,A) ) => ( C = k1_topmetr(A,B) <=> u1_struct_0(C) = B ) ) ) ) )).
fof(d2_topreal1,axiom,( k1_topreal1 = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,1),k19_euclid(1,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(k5_numbers,k5_numbers)))) )).
fof(d2_topreal4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal4(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & B != C & r2_tarski(B,A) & r2_tarski(C,A) & r1_topreal4(D,B,C) & r1_topreal4(E,B,C) & k9_subset_1(u1_struct_0(k15_euclid(2)),D,E) = k2_tarski(B,C) & A = k4_subset_1(u1_struct_0(k15_euclid(2)),D,E) ) ) ) ) ) ) )).
fof(d2_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => k2_topreal9(A,B,C) = a_3_1_topreal9(A,B,C) ) ) ) )).
fof(d2_topreala,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k15_euclid(2))))) ) => ( A = k2_topreala <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_funct_1(A,k4_tarski(B,C)) = k10_finseq_1(B,C) ) ) ) ) )).
fof(d2_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => k4_toprealb(A) = A ) )).
fof(d2_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k1_toprns_1(A,B,C) = k1_vfunct_1(k4_ordinal1,k15_euclid(A),B,C) ) ) ) )).
fof(d2_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_tops_1(A,B) = k9_subset_1(u1_struct_0(A),k2_pre_topc(A,B),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))) ) ) )).
fof(d2_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_tops_2(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v4_pre_topc(C,A) ) ) ) ) ) )).
fof(d2_tops_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(B,A) <=> k2_pre_topc(A,B) = u1_struct_0(A) ) ) ) )).
fof(d2_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( r1_transgeo(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => r2_hidden(k4_tarski(k4_tarski(D,E),k4_tarski(k3_funct_2(A,A,B,D),k3_funct_2(A,A,B,E))),C) ) ) ) ) ) ) )).
fof(d2_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => k2_treal_1(A,B) = B ) ) ) )).
fof(d2_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( B = k1_trees_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & C = D & r2_xboole_0(D,A) ) ) ) ) )).
fof(d2_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( v1_trees_2(A) <=> ? [B] : ( v7_ordinal1(B) & ! [C] : ( m1_trees_1(C,A) => ~ r2_tarski(k7_finseq_1(C,k9_finseq_1(B)),A) ) ) ) ) )).
fof(d2_trees_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_trees_3)) => ( A = k2_trees_3 <=> ! [B] : ( r2_hidden(B,A) <=> ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) ) ) ) )).
fof(d2_trees_4,axiom,( ! [A] : k1_trees_4(A) = k7_funcop_1(k2_trees_1(k5_numbers),A) )).
fof(d2_trees_a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( m4_trees_1(B,k9_xtuple_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( B != k1_xboole_0 => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) => ( D = k3_trees_a(A,B,C) <=> ( k9_xtuple_0(D) = k1_trees_a(k9_xtuple_0(A),k9_xtuple_0(C),B) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k1_trees_a(k9_xtuple_0(A),k9_xtuple_0(C),B)) & ? [F] : ( m2_finseq_1(F,k4_ordinal1) & r2_tarski(F,B) & ~ ( ~ r1_tarski(F,E) & k1_funct_1(D,E) = k1_funct_1(A,E) ) ) & ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ~ ( r2_tarski(F,B) & r2_tarski(G,k9_xtuple_0(C)) & E = k8_finseq_1(k4_ordinal1,F,G) & k1_funct_1(D,E) = k1_funct_1(C,G) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_pre_topc(D) & m1_pre_topc(D,A) ) => ( D = k1_tsep_1(A,B,C) <=> u1_struct_0(D) = k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) ) ) ) ) )).
fof(d2_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_pre_topc(C,A) => ( r3_tsep_2(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = u1_struct_0(B) & E = u1_struct_0(C) ) => r2_tsep_2(A,D,E) ) ) ) ) ) ) ) )).
fof(d2_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( m1_pre_topc(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v4_pre_topc(C,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(D,A) & C = k8_subset_1(u1_struct_0(A),D,u1_struct_0(B)) ) ) ) ) ) ) ) )).
fof(d2_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_turing_1(A)) => k4_turing_1(A,B,C,D) = k1_funct_4(B,k17_funcop_1(C,D)) ) ) ) ) )).
fof(d2_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k3_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k8_margrel1(k9_margrel1(B,C)) ) ) ) ) )).
fof(d2_unialg_1,axiom,( ! [A] : ( l1_unialg_1(A) => ( v3_unialg_1(A) <=> v5_margrel1(u1_unialg_1(A),u1_struct_0(A)) ) ) )).
fof(d2_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k1_unialg_2(A) = k10_xtuple_0(u1_unialg_1(A)) ) )).
fof(d2_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => k2_uniroots(A) = a_1_0_uniroots(A) ) )).
fof(d2_uproots,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k1_uproots(A,B,C) = k1_funct_4(k16_pre_poly(A),k8_funcop_1(k4_ordinal1,B,C)) ) ) )).
fof(d2_urysohn1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( A = k2_urysohn1 <=> ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) <=> ? [C] : ( v7_ordinal1(C) & r2_hidden(B,k1_urysohn1(C)) ) ) ) ) ) )).
fof(d2_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v10_pre_topc(A) & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) ) => ( B = k1_xboole_0 | ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A)))))) ) => ( m2_urysohn3(D,A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( m1_urysohn3(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,E),A,B,C,E) & ! [F] : ( m1_subset_1(F,k9_xtuple_0(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,E))) => k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,E),F) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(E,1)),F) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_funct_2(D,k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ! [E] : ( m2_funct_2(E,k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ( E = k3_valuat_1(A,B,C,D) <=> ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,E,F) = k11_margrel1(a_5_0_valuat_1(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(d2_valued_0,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_valued_0(A) <=> r1_tarski(k10_xtuple_0(A),k6_numbers) ) ) )).
fof(d2_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k7_valued_1(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k2_xcmplx_0(B,k1_funct_1(A,D)) ) ) ) ) ) ) )).
fof(d2_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => k2_vectsp10(A,B,C) = a_3_0_vectsp10(A,B,C) ) ) ) )).
fof(d2_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( v1_vectsp11(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( m1_vectsp11(D,A,B,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & E != k4_struct_0(B) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) = k3_vectsp_1(A,B,D,E) ) ) ) ) ) ) ) )).
fof(d2_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v1_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,k1_algstr_0(A,C,D)) = k1_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) ) ) ) ) ) )).
fof(d2_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k9_algstr_0(A,B) <=> k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) ) )).
fof(d2_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ( m1_vectsp_4(C,A,B) <=> ( r1_tarski(u1_struct_0(C),u1_struct_0(B)) & k4_struct_0(C) = k4_struct_0(B) & u1_algstr_0(C) = k1_realset1(u1_algstr_0(B),u1_struct_0(C)) & u1_vectsp_1(A,C) = k5_relat_1(u1_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C))) ) ) ) ) ) )).
fof(d2_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( ( v7_vectsp_1(E,A) & m1_vectsp_4(E,A,B) ) => ( E = k2_vectsp_5(A,B,C,D) <=> u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) ) ) ) ) ) ) )).
fof(d2_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => k1_vectsp_6(A,B,C) = a_3_0_vectsp_6(A,B,C) ) ) ) )).
fof(d2_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( D = k1_vectsp_7(A,B,C) <=> u1_struct_0(D) = a_3_0_vectsp_7(A,B,C) ) ) ) ) ) )).
fof(d2_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( D = k2_vectsp_9(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( v7_vectsp_1(F,A) & m1_vectsp_4(F,A,B) & F = E & k1_vectsp_9(A,F) = C ) ) ) ) ) ) )).
fof(d2_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( E = k2_vfunct_1(A,B,C,D) <=> ( k1_relset_1(A,E) = k9_subset_1(A,k1_relset_1(A,C),k1_relset_1(A,D)) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_relset_1(A,E)) => k7_partfun1(u1_struct_0(B),E,F) = k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,F),k7_partfun1(u1_struct_0(B),D,F)) ) ) ) ) ) ) ) ) ) )).
fof(d2_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( E = k2_vfunct_2(A,B,C,D) <=> ( k1_relset_1(A,E) = k1_relset_1(A,C) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_relset_1(A,E)) => k7_partfun1(u1_struct_0(B),E,F) = k1_clvect_1(B,k7_partfun1(u1_struct_0(B),C,F),D) ) ) ) ) ) ) ) ) ) )).
fof(d2_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => k2_vsdiff_1(A,B,C,D) = a_4_0_vsdiff_1(A,B,C,D) ) ) ) ) )).
fof(d2_waybel10,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & l1_orders_2(B) ) => ( B = k3_waybel10(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(B)) <=> ( v1_orders_2(C) & m1_yellow_0(C,A) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_orders_2(B,C,D) <=> ? [E] : ( l1_orders_2(E) & D = E & m1_yellow_0(C,E) ) ) ) ) ) ) ) ) )).
fof(d2_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel11(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(C,B) => r2_tarski(k1_yellow_0(A,C),B) ) ) ) ) ) )).
fof(d2_waybel15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k1_waybel15(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> v1_waybel15(C,A) ) ) ) ) ) )).
fof(d2_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_orders_2(C) & v4_yellow_0(C,k6_yellow_1(A,B)) & m1_yellow_0(C,k6_yellow_1(A,B)) ) => ( C = k2_waybel17(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r2_tarski(D,u1_struct_0(C)) <=> v5_pre_topc(D,A,B) ) ) ) ) ) ) )).
fof(d2_waybel18,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k4_card_3(k12_pralg_1(A,B))))) => ( C = k2_waybel18(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_card_3(k12_pralg_1(A,B)))) => ( r2_tarski(D,C) <=> ? [E] : ? [F] : ( l1_pre_topc(F) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(F))) & r2_tarski(E,A) & v3_pre_topc(G,F) & F = k1_funct_1(B,E) & D = k4_card_3(k1_funct_7(k12_pralg_1(A,B),E,G)) ) ) ) ) ) ) ) )).
fof(d2_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k1_waybel19(A) <=> ! [C] : ( ( v2_pre_topc(C) & v1_waybel19(C) & m1_yellow_9(C,A) ) => B = u1_pre_topc(C) ) ) ) ) )).
fof(d2_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) => ( v1_waybel20(B,A) <=> ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v2_struct_0(k5_yellow_0(k3_yellow_3(A,A),B)) & v4_yellow_0(k5_yellow_0(k3_yellow_3(A,A),B),k3_yellow_3(A,A)) & v7_yellow_0(k5_yellow_0(k3_yellow_3(A,A),B),k3_yellow_3(A,A)) & v4_waybel_0(k5_yellow_0(k3_yellow_3(A,A),B),k3_yellow_3(A,A)) & m1_yellow_0(k5_yellow_0(k3_yellow_3(A,A),B),k3_yellow_3(A,A)) ) ) ) ) )).
fof(d2_waybel22,axiom,( ! [A] : k1_waybel22(A) = a_1_0_waybel22(A) )).
fof(d2_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel23(B,A) <=> v6_yellow_0(k5_yellow_0(A,B),A) ) ) ) )).
fof(d2_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k2_waybel24(A,B,C,D,E) = k1_funct_1(k3_funct_5(D),E) ) ) ) ) ) )).
fof(d2_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_waybel_9(B) & l1_waybel_9(B) ) => ( B = k1_waybel25(A) <=> ( g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_orders_2(B,C,D) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = k1_tarski(D) & r2_tarski(C,k2_pre_topc(A,E)) ) ) ) ) ) ) ) ) )).
fof(d2_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_waybel26(A,B)),u1_struct_0(k1_waybel26(A,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel26(A,B)),u1_struct_0(k1_waybel26(A,C))))) ) => ( E = k3_waybel26(A,B,C,D) <=> ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k1_funct_1(E,F) = k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),F,D) ) ) ) ) ) ) ) )).
fof(d2_waybel27,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_waybel27(A) <=> ( ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(k9_xtuple_0(B)) ) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_1(A,B) = k1_funct_5(B) ) ) ) ) ) )).
fof(d2_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v6_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( D = k1_waybel28(A,B,C) <=> ( g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & r1_funct_2(u1_struct_0(D),u1_struct_0(A),u1_struct_0(B),u1_struct_0(A),u1_waybel_0(A,D),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,u1_waybel_0(A,B))) ) ) ) ) ) ) )).
fof(d2_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k2_waybel29(A,B,C) = C ) ) ) )).
fof(d2_waybel31,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_waybel31(A,B,C) = k7_subset_1(u1_struct_0(A),k2_waybel_3(A,C),k4_waybel_0(A,B)) ) ) ) )).
fof(d2_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & l1_waybel_9(A) ) => ( v2_waybel32(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k5_waybel_0(A,B) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)) & ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v10_waybel_0(C,A) & l1_waybel_0(C,A) ) => ( B = k1_waybel_2(A,C) => ! [D] : ( m1_connsp_2(D,A,B) => r1_waybel_0(A,C,D) ) ) ) ) ) ) ) )).
fof(d2_waybel33,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_waybel_9(A) ) => ( v1_waybel33(A) <=> u1_pre_topc(A) = k4_waybel28(A) ) ) )).
fof(d2_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( v3_lattice3(B) & v18_waybel_0(C,B,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( D = k2_waybel34(A,B,C) <=> v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) ) ) ) ) )).
fof(d2_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r1_orders_2(A,E,C) & r1_orders_2(A,E,D) ) ) ) ) ) ) ) ) )).
fof(d2_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_orders_2(A,D,E) => r1_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(d2_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ( D = k2_waybel_2(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(B),u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k5_finsub_1(B)) => ( k3_funct_2(k5_finsub_1(B),u1_struct_0(A),E,F) = k1_yellow_0(A,k7_relset_1(B,u1_struct_0(A),C,F)) & D = g1_waybel_0(A,k5_finsub_1(B),k2_orders_1(k5_finsub_1(B)),E) ) ) ) ) ) ) ) )).
fof(d2_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_waybel_3(B,A) <=> r1_waybel_3(A,B,B) ) ) ) )).
fof(d2_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => k2_waybel_4(A) = u1_orders_2(A) ) )).
fof(d2_waybel_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_xtuple_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B),u1_struct_0(A)))) ) => ( C = k5_waybel_5(A,B) <=> ! [D] : ( r2_hidden(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k5_yellow_2(A,k1_funct_1(B,D)) ) ) ) ) ) )).
fof(d2_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B = k11_lattice3(A,C,D) & C != B & D != B ) ) ) ) ) ) )).
fof(d2_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_waybel_7(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(k13_lattice3(A,C,D),B) & ~ r2_tarski(C,B) & ~ r2_tarski(D,B) ) ) ) ) ) ) )).
fof(d2_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_waybel_8(A,B) = a_2_0_waybel_8(A,B) ) ) )).
fof(d2_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( l1_waybel_0(B,A) => k1_waybel_9(A,B) = k5_yellow_2(A,u1_waybel_0(A,B)) ) ) )).
fof(d2_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k7_group_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k7_group_3(A,B)))) ) => ( C = k2_weddwitt(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k7_group_3(A,B),C,D) = k2_group_3(A,B,D) ) ) ) ) ) )).
fof(d2_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => k2_weierstr(A) = k2_seq_4(k1_weierstr(A)) ) )).
fof(d2_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_wellfnd1(A) <=> r1_wellord1(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(d2_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_wellord1(A) <=> ! [B] : ~ ( r1_tarski(B,k1_relat_1(A)) & B != k1_xboole_0 & ! [C] : ~ ( r2_hidden(C,B) & r1_xboole_0(k1_wellord1(A,C),B) ) ) ) ) )).
fof(d2_wellord2,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_wellord1(A) => ! [B] : ( v3_ordinal1(B) => ( B = k2_wellord2(A) <=> r4_wellord1(A,k1_wellord2(B)) ) ) ) ) )).
fof(d2_xboole_0,axiom,( k1_xboole_0 = o_0_0_xboole_0 )).
fof(d2_xboolean,axiom,( k2_xboolean = 1 )).
fof(d2_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) <=> r2_hidden(A,k2_numbers) ) )).
fof(d2_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(A,B)) => k1_xreal_0(A,B) = k6_xcmplx_0(A,B) ) & ( ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(A,B)) => k1_xreal_0(A,B) = k5_numbers ) ) ) ) )).
fof(d2_xtuple_0,axiom,( ! [A] : ( v1_xtuple_0(A) => ! [B] : ( B = k1_xtuple_0(A) <=> ! [C] : ! [D] : ( A = k4_tarski(C,D) => B = C ) ) ) )).
fof(d2_xxreal_0,axiom,( k1_xxreal_0 = k1_numbers )).
fof(d2_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k2_xxreal_1(A,B) = a_2_1_xxreal_1(A,B) ) ) )).
fof(d2_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ( m2_xxreal_2(B,A) <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(d2_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( C = k1_xxreal_3(A,B) <=> ? [D] : ( v1_xcmplx_0(D) & ? [E] : ( v1_xcmplx_0(E) & A = D & B = E & C = k2_xcmplx_0(D,E) ) ) ) ) & ( ( ( A = k1_xxreal_0 & B != k2_xxreal_0 ) | ( B = k1_xxreal_0 & A != k2_xxreal_0 ) ) => ( C = k1_xxreal_3(A,B) <=> C = k1_xxreal_0 ) ) & ( ( ( A = k2_xxreal_0 & B != k1_xxreal_0 ) | ( B = k2_xxreal_0 & A != k1_xxreal_0 ) ) => ( C = k1_xxreal_3(A,B) <=> C = k2_xxreal_0 ) ) & ~ ( ~ ( v1_xreal_0(A) & v1_xreal_0(B) ) & ~ ( A = k1_xxreal_0 & B != k2_xxreal_0 ) & ~ ( B = k1_xxreal_0 & A != k2_xxreal_0 ) & ~ ( A = k2_xxreal_0 & B != k1_xxreal_0 ) & ~ ( B = k2_xxreal_0 & A != k1_xxreal_0 ) & ~ ( C = k1_xxreal_3(A,B) <=> C = k5_numbers ) ) ) ) ) ) )).
fof(d2_yellow11,axiom,( k2_yellow11 = k1_yellow_1(k3_enumset1(k5_numbers,1,k6_subset_1(2,1),k6_subset_1(3,2),3)) )).
fof(d2_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( m1_yellow13(C,A,B) <=> ! [D] : ( m1_connsp_2(D,A,B) => ? [E] : ( m1_connsp_2(E,A,B) & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) ) ) ) )).
fof(d2_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = k2_yellow15(A,B) <=> ? [D] : ( m2_finseq_1(D,k9_setfam_1(A)) & k3_finseq_1(D) = k4_card_1(B) & k2_relset_1(k9_setfam_1(A),D) = B & C = a_2_0_yellow15(A,D) ) ) ) ) )).
fof(d2_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_yellow16(A,B,C) <=> ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v22_waybel_0(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v22_waybel_0(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & k3_relat_1(D,C) = k3_struct_0(A) ) ) ) ) ) ) )).
fof(d2_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r1_yellow18(A,B) <=> ? [C] : ( v15_functor0(C,A,B) & m2_functor0(C,A,B) & ? [D] : ( v15_functor0(D,B,A) & m2_functor0(D,B,A) & r1_functor3(A,A,k1_functor3(A,B,A,C,D),k12_functor0(A)) & r1_functor3(B,B,k1_functor3(B,A,B,D,C),k12_functor0(B)) ) ) ) ) ) )).
fof(d2_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m1_yellow19(C,A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & C = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k4_waybel_9(A,B,D))) ) ) ) ) ) )).
fof(d2_yellow20,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k1_yellow20(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => k1_funct_1(C,D) = k3_xboole_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d2_yellow21,axiom,( ! [A] : ! [B] : ( B = k2_yellow21(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_orders_2(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) & r2_tarski(u1_struct_0(k1_yellow21(C)),A) ) ) ) )).
fof(d2_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v4_orders_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_orders_2(A,B,C) & r1_orders_2(A,C,D) ) => r1_orders_2(A,B,D) ) ) ) ) ) ) )).
fof(d2_yellow_1,axiom,( ! [A] : k2_yellow_1(A) = k3_lattice3(k1_lattice3(A)) )).
fof(d2_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k1_yellow_2(A,B,C) = k5_yellow_0(B,k2_relset_1(u1_struct_0(B),C)) ) ) ) )).
fof(d2_yellow_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( C = k3_yellow_3(A,B) <=> ( u1_struct_0(C) = k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)) & u1_orders_2(C) = k2_yellow_3(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)) ) ) ) ) ) )).
fof(d2_yellow_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_yellow_4(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r1_orders_2(A,E,D) ) ) ) ) ) ) ) ) )).
fof(d2_yellow_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_yellow_5(A,B,C) = k10_lattice3(A,k1_yellow_5(A,B,C),k1_yellow_5(A,C,B)) ) ) ) )).
fof(d2_yellow_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A) ) => ( v4_waybel_3(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => ( ~ v2_struct_0(B) & l1_struct_0(B) ) ) ) ) )).
fof(d2_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_yellow_8(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v4_card_3(B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v1_tops_3(C,A) ) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C = k8_setfam_1(u1_struct_0(A),B) & v1_tops_1(C,A) ) ) ) ) ) ) )).
fof(d2_yellow_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k2_yellow_9(A,B) = k6_waybel_9(k5_yellow_0(A,B),A,k1_yellow_9(A,k5_yellow_0(A,B)),k2_waybel_9(k5_yellow_0(A,B))) ) ) )).
fof(d2_yoneda_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_yoneda_1(A,B) = k19_ens_1(A,B) ) ) )).
fof(d2_zf_colla,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r1_zf_colla(A,B,C) <=> ( k9_xtuple_0(A) = B & k10_xtuple_0(A) = C & v2_funct_1(A) & ! [D] : ! [E] : ( ( r2_hidden(D,B) & r2_hidden(E,B) ) => ( ~ ( ? [F] : ( F = E & r2_hidden(D,F) ) & ! [F] : ~ ( k1_funct_1(A,E) = F & r2_tarski(k1_funct_1(A,D),F) ) ) & ~ ( ? [F] : ( k1_funct_1(A,E) = F & r2_tarski(k1_funct_1(A,D),F) ) & ! [F] : ~ ( F = E & r2_hidden(D,F) ) ) ) ) ) ) ) )).
fof(d2_zf_fund1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zf_lang) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zf_lang))) ) => ( A = k2_zf_fund1 <=> ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_zf_lang,A,B) = k2_zf_lang(k4_card_1(B)) ) ) ) )).
fof(d2_zf_fund2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_zf_fund2(A) <=> ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r2_tarski(C,A) => r2_tarski(k1_zf_fund2(B,C,D),A) ) ) ) ) ) ) )).
fof(d2_zf_lang,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k2_zf_lang(A) = k1_nat_1(5,A) ) )).
fof(d2_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => k3_zf_lang1(A) = k6_subset_1(k10_xtuple_0(A),k3_enumset1(k5_numbers,1,2,3,4)) ) )).
fof(d2_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_zf_model(A) = k9_funct_2(k1_zf_lang,A) ) )).
fof(d2_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) ) => ( v1_zf_refle(B,A) <=> k9_xtuple_0(B) = k2_ordinal1(A) ) ) ) )).
fof(d2_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( C = k2_zfmisc_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ? [F] : ( r2_hidden(E,A) & r2_hidden(F,B) & D = k4_tarski(E,F) ) ) ) )).
fof(d2_zfmodel1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ( ( r1_tarski(k2_zf_model(A),k2_tarski(k2_zf_lang(3),k2_zf_lang(4))) & r2_zf_model(B,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(A,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( C = k2_zfmodel1(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( r1_zf_model(B,D,A) <=> k3_funct_2(B,B,C,k3_funct_2(k1_zf_lang,B,D,k2_zf_lang(3))) = k3_funct_2(k1_zf_lang,B,D,k2_zf_lang(4)) ) ) ) ) ) ) ) )).
fof(d2_zfrefle1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ( r2_zfrefle1(A,B) <=> ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( k2_zf_model(C) = k1_xboole_0 => ( r2_zf_model(A,C) <=> r2_zf_model(B,C) ) ) ) ) ) ) )).
fof(d2_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_zmodul01(A) ) => ( v2_zmodul01(A) <=> ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_zmodul01(A,k1_algstr_0(A,C,D),B) = k1_algstr_0(A,k1_zmodul01(A,C,B),k1_zmodul01(A,D,B)) ) ) ) ) ) )).
fof(d2_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => k2_zmodul02(A,B) = k4_struct_0(A) ) ) )).
fof(d2_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_zmodul03(B,A) <=> ( v1_zmodul02(B,A) & k33_zmodul02(A,B) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) ) ) )).
fof(d2_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))))) ) => ( B = k2_zmodul04(A) <=> ! [C] : ! [D] : ( ( r2_hidden(C,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) & r2_hidden(D,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( v1_int_1(G) => ! [H] : ( v1_int_1(H) => ( ( C = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k4_tarski(E,G)) & D = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k4_tarski(F,H)) ) => ( G = k5_numbers | H = k5_numbers | k1_binop_1(B,C,D) = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k4_tarski(k3_rlvect_1(A,k1_zmodul01(A,E,H),k1_zmodul01(A,F,G)),k3_xcmplx_0(G,H))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d2_zmodul05,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_numbers)) ) => ! [B] : ( m1_subset_1(B,k4_numbers) => ( B = k2_zmodul05(A) <=> ? [C] : ( m2_finseq_1(C,k4_numbers) & k1_rvsum_1(C) = A & v2_funct_1(C) & B = k1_gr_cy_1(C) ) ) ) ) )).
fof(d30_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) ) => ( v14_abcmiz_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_abcmiz_0(A)) => ~ ( r4_abcmiz_0(A,B,D) & r3_orders_2(A,k5_abcmiz_0(A,B,D),C) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_abcmiz_0(A))) ) => ~ ( r6_abcmiz_0(A,k10_lattice3(A,B,C),E) & k6_abcmiz_0(A,k10_lattice3(A,B,C),E) = C ) ) ) ) ) ) ) ) )).
fof(d30_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( k3_finseq_1(k1_msualg_1(A,B)) = 1 => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & D = k1_funct_1(k1_msualg_1(A,B),1) & m1_abcmiz_1(C,A,D) ) => k30_abcmiz_1(A,B,C) = k4_trees_4(k4_tarski(B,u1_struct_0(A)),k3_pre_poly(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C)) ) ) ) ) ) )).
fof(d30_abcmiz_a,axiom,( ! [A] : ( m2_finseq_2(A,k2_abcmiz_1,k4_abcmiz_1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k4_abcmiz_a))) ) => ( m2_abcmiz_a(B,A) <=> ( k1_relset_1(k2_abcmiz_1,B) = k2_relset_1(k2_abcmiz_1,A) & v7_abcmiz_a(B) ) ) ) ) )).
fof(d30_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_unialg_1(A) & l2_absred_0(A) ) => ( v16_absred_0(A) <=> ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [C] : ( m2_subset_1(C,k3_finseq_2(u1_struct_0(A)),k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,B))) => ! [D] : ( m2_subset_1(D,k3_finseq_2(u1_struct_0(A)),k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,B))) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( F = k1_funct_1(C,E) & D = k1_funct_7(C,E,G) & r1_absred_0(A,F,G) ) => r1_absred_0(A,k4_absred_0(A,k2_pua2mss1(A,B),C),k4_absred_0(A,k2_pua2mss1(A,B),D)) ) ) ) ) ) ) ) ) ) ) )).
fof(d30_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v23_algstr_0(B,A) & v17_algstr_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k9_algstr_0(A,B) <=> k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) ) )).
fof(d30_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ( r2_aofa_000(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r2_tarski(k2_binop_1(B,u1_struct_0(A),B,D,E,F),C) => k2_binop_1(B,u1_struct_0(A),B,D,E,k14_aofa_000(A,F,G,H)) = k2_binop_1(B,u1_struct_0(A),B,D,k2_binop_1(B,u1_struct_0(A),B,D,E,F),G) ) & ( ~ r2_hidden(k2_binop_1(B,u1_struct_0(A),B,D,E,F),C) => k2_binop_1(B,u1_struct_0(A),B,D,E,k14_aofa_000(A,F,G,H)) = k2_binop_1(B,u1_struct_0(A),B,D,k2_binop_1(B,u1_struct_0(A),B,D,E,F),H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d30_aofa_a00,axiom,( ! [A] : ( l6_aofa_a00(A) => ( v16_aofa_a00(A) <=> ( r1_xxreal_0(3,k3_finseq_1(u7_aofa_a00(A))) & r1_aofa_a00(A,k1_funct_1(u7_aofa_a00(A),1),k1_xboole_0,u8_aofa_a00(A)) & r1_aofa_a00(A,k1_funct_1(u7_aofa_a00(A),2),k9_finseq_1(u8_aofa_a00(A)),u8_aofa_a00(A)) & r1_aofa_a00(A,k1_funct_1(u7_aofa_a00(A),3),k10_finseq_1(u8_aofa_a00(A),u8_aofa_a00(A)),u8_aofa_a00(A)) ) ) ) )).
fof(d30_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m3_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => ! [G] : ( m3_aofa_i00(G,A,B,C,D) => ( G = k36_aofa_i00(A,B,C,D,E,F) <=> ! [H] : ( m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) => k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,G,H) = k5_int_1(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,E,H),k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(d30_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) ) => ! [G] : ( ( v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => k19_aofa_l00(A,B,C,D,E,F,G,H,I,J) = k17_aofa_l00(A,B,C,D,E,F,G,k17_aofa_l00(A,B,C,D,E,F,G,H,J),I) ) ) ) ) ) ) ) ) ) ) )).
fof(d30_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v14_armstrng(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( r2_tarski(k6_armstrng(A,C,D),B) => r2_tarski(k6_armstrng(A,k4_subset_1(A,C,E),D),B) ) ) ) ) ) ) )).
fof(d30_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_cat_1(F,A,B,D) => ! [G] : ( m1_cat_1(G,A,C,E) => k31_cat_4(A,B,C,D,E,F,G) = k29_cat_4(A,B,C,k20_cat_4(A,D,E),k5_cat_1(A,B,D,k20_cat_4(A,D,E),F,k27_cat_4(A,D,E)),k5_cat_1(A,C,E,k20_cat_4(A,D,E),G,k28_cat_4(A,D,E))) ) ) ) ) ) ) ) )).
fof(d30_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_cat_6(A),k6_cat_6(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A),k6_cat_6(A)))) ) => ( ( ~ v2_struct_0(A) => ( B = k15_cat_6(A) <=> ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => k1_funct_1(B,C) = k7_cat_6(A,C) ) ) ) & ( v2_struct_0(A) => ( B = k15_cat_6(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d30_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v9_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k9_decomp_1(A)) ) ) ) ) ) ) )).
fof(d30_descip_1,axiom,( ! [A] : ( m2_finseq_2(A,k4_finseq_2(48,k5_margrel1),k4_finseq_2(16,k4_finseq_2(48,k5_margrel1))) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_finseq_2(32,k5_margrel1),k4_finseq_2(48,k5_margrel1)),k4_finseq_2(32,k5_margrel1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32,k5_margrel1),k4_finseq_2(48,k5_margrel1)),k4_finseq_2(32,k5_margrel1)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & v3_funct_2(C,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)))) ) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => ! [E] : ( m2_finseq_2(E,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => ( E = k40_descip_1(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(k2_nat_1(2,32),k5_margrel1),k4_finseq_2(k2_nat_1(2,32),k5_margrel1)) & v3_funct_2(F,k4_finseq_2(k2_nat_1(2,32),k5_margrel1),k4_finseq_2(k2_nat_1(2,32),k5_margrel1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2,32),k5_margrel1),k4_finseq_2(k2_nat_1(2,32),k5_margrel1)))) & ? [G] : ( m2_finseq_2(G,k5_margrel1,k4_finseq_2(k2_nat_1(2,32),k5_margrel1)) & r1_funct_2(k4_finseq_2(k2_nat_1(2,32),k5_margrel1),k4_finseq_2(k2_nat_1(2,32),k5_margrel1),k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),F,C) & G = D & E = k39_descip_1(32,48,16,A,B,F,G) ) ) ) ) ) ) ) ) )).
fof(d30_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k27_fomodel0(A,B) = k2_xboole_0(k5_relat_1(A,k6_subset_1(k9_xtuple_0(A),k9_xtuple_0(B))),B) ) ) )).
fof(d30_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k25_fomodel1(A) <=> ( k9_xtuple_0(B) = k4_ordinal1 & k1_funct_1(B,k5_numbers) = k11_fomodel1(A) & ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,k2_xcmplx_0(C,1)) = k2_xboole_0(k3_tarski(a_3_1_fomodel1(A,B,C)),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(d30_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v7_ordinal1(B) => k28_fomodel2(A,B) = a_2_2_fomodel2(A,B) ) ) )).
fof(d30_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r10_fomodel4(A,B,C) <=> ? [D] : ? [E] : ? [F] : ( v4_fomodel2(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [G] : ( v4_fomodel2(G,B) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & r2_tarski(D,A) & r2_tarski(E,A) & k1_xfamily(D) = k1_xfamily(E) & k1_xfamily(E) = k1_xfamily(C) & k2_xfamily(D) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),F),F) & k2_xfamily(E) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),G),G) & k2_xfamily(C) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),F),G) ) ) ) ) ) )).
fof(d30_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( l1_altcat_1(B) => ! [C] : ( l2_functor0(C,A,B) => ( v17_functor0(C,A,B) <=> v1_msualg_3(u2_functor0(A,B,C)) ) ) ) ) )).
fof(d30_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & ~ v1_xboole_0(H) & k30_gate_1(A,B,C,D,E,F,G,H) != k1_gate_1(k1_xboole_0) ) & ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & ~ v1_xboole_0(H) ) => k30_gate_1(A,B,C,D,E,F,G,H) = k1_xboole_0 ) ) )).
fof(d30_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k30_gfacirc1(A,B,C) = k3_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k3_gfacirc1,k10_finseq_1(B,C))),k5_circcomb(k6_twoscomp,k10_finseq_1(C,A)),k3_circcomb(k5_circcomb(k2_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k3_gfacirc1,k10_finseq_1(B,C)),k6_facirc_1(A,B,k2_twoscomp),k6_facirc_1(B,C,k3_gfacirc1)),k6_facirc_1(C,A,k6_twoscomp)) )).
fof(d30_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k7_glib_000(A))) => ( D = k22_glib_000(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> r3_glib_000(A,B,C,E) ) ) ) ) )).
fof(d30_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k25_grcat_1(A) = g1_cat_1(k17_grcat_1(A),k18_grcat_1(k17_grcat_1(A)),k22_grcat_1(k17_grcat_1(A)),k23_grcat_1(k17_grcat_1(A)),k24_grcat_1(k17_grcat_1(A))) ) )).
fof(d30_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( r8_ltlaxio1(A,B) <=> ? [C] : ( m2_finseq_1(C,k1_hilbert1) & k1_funct_1(C,k3_finseq_1(C)) = B & r1_xxreal_0(1,k3_finseq_1(C)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r7_ltlaxio1(D,C,A) ) ) ) ) ) ) )).
fof(d30_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ( B = k22_modelc_3(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( v1_modelc_3(D,A) & l1_modelc_3(D,A) & C = D ) ) ) ) ) )).
fof(d30_monoid_0,axiom,( k6_monoid_0 = g3_algstr_0(k1_numbers,k11_binop_2) )).
fof(d30_msafree5,axiom,( ! [A] : ! [B] : k19_msafree5(A,B) = k2_tarski(k4_tarski(A,B),k4_tarski(B,A)) )).
fof(d30_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ( C = k24_qc_lang1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & C = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,B) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k12_qc_lang1(A)) = k1_xboole_0 & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = a_2_2_qc_lang1(A,E) ) & ( v3_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k18_qc_lang1(A,E)) ) & ( v4_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k4_subset_1(k3_qc_lang1(A),k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k19_qc_lang1(A,E)),k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k20_qc_lang1(A,E))) ) & ( v5_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k7_subset_1(k3_qc_lang1(A),k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k22_qc_lang1(A,E)),k1_tarski(k21_qc_lang1(A,E))) ) ) ) ) ) ) ) ) )).
fof(d30_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v5_substut1(B,A) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( C = k27_substut1(A,B) <=> B = k20_substut1(A,C) ) ) ) ) ) )).
fof(d30_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B))),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B))),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) ) => ( C = k30_turing_1(A,B) <=> ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)))) => k3_funct_2(k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B))),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),C,D) = k29_turing_1(A,B,D) ) ) ) ) ) )).
fof(d30_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r3_waybel_0(A,B,C,D) <=> ( r2_yellow_0(A,D) => ( r2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) & k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_yellow_0(A,D)) ) ) ) ) ) ) ) )).
fof(d30_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_zf_lang(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( B = k19_zf_lang(A) <=> k5_zf_lang(B) = A ) ) ) ) )).
fof(d30_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k26_zmodul02(A)) => k27_zmodul02(A,B) = B ) ) )).
fof(d31_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( B = k11_abcmiz_0(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),C,D),B) <=> ? [E] : ( m1_subset_1(E,u1_abcmiz_0(A)) & ~ r2_tarski(E,k2_abcmiz_0(A,D)) & r4_abcmiz_0(A,D,E) & k5_abcmiz_0(A,D,E) = C ) ) ) ) ) ) ) )).
fof(d31_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( k3_finseq_1(k1_msualg_1(A,B)) = 2 => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & E = k1_funct_1(k1_msualg_1(A,B),1) & F = k1_funct_1(k1_msualg_1(A,B),2) & m1_abcmiz_1(C,A,E) & m1_abcmiz_1(D,A,F) ) ) => k31_abcmiz_1(A,B,C,D) = k4_trees_4(k4_tarski(B,u1_struct_0(A)),k4_pre_poly(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,D)) ) ) ) ) ) ) )).
fof(d31_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ( r3_aofa_000(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(k2_binop_1(B,u1_struct_0(A),B,D,E,F),C) => k2_binop_1(B,u1_struct_0(A),B,D,E,k16_aofa_000(A,F,G)) = k2_binop_1(B,u1_struct_0(A),B,D,k2_binop_1(B,u1_struct_0(A),B,D,k2_binop_1(B,u1_struct_0(A),B,D,E,F),G),k16_aofa_000(A,F,G)) ) & ( ~ r2_hidden(k2_binop_1(B,u1_struct_0(A),B,D,E,F),C) => k2_binop_1(B,u1_struct_0(A),B,D,E,k16_aofa_000(A,F,G)) = k2_binop_1(B,u1_struct_0(A),B,D,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d31_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l6_aofa_a00(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v17_aofa_a00(B,A) <=> ( k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),u8_aofa_a00(A)) = k5_margrel1 & k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),1),u4_struct_0(A)),B),k1_xboole_0) = k7_margrel1 & ! [C] : ( v1_xboolean(C) => ! [D] : ( v1_xboolean(D) => ( k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),2),u4_struct_0(A)),B),k9_finseq_1(C)) = k3_xboolean(C) & k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),3),u4_struct_0(A)),B),k10_finseq_1(C,D)) = k4_xboolean(C,D) ) ) ) ) ) ) ) )).
fof(d31_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m3_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => ! [G] : ( m3_aofa_i00(G,A,B,C,D) => ( G = k37_aofa_i00(A,B,C,D,E,F) <=> ! [H] : ( m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) => k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,G,H) = k5_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,E,H),k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,F,H),k5_numbers,1) ) ) ) ) ) ) ) ) ) )).
fof(d31_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) ) => ! [G] : ( ( v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => k20_aofa_l00(A,B,C,D,E,F,G,H,I,J) = k18_aofa_l00(A,B,C,D,E,F,G,k18_aofa_l00(A,B,C,D,E,F,G,H,J),I) ) ) ) ) ) ) ) ) ) ) )).
fof(d31_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => k14_armstrng(A,B) = a_2_14_armstrng(A,B) ) )).
fof(d31_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_cat_6(A),k6_cat_6(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A),k6_cat_6(A)))) ) => ( ( ~ v2_struct_0(A) => ( B = k16_cat_6(A) <=> ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => k1_funct_1(B,C) = k8_cat_6(A,C) ) ) ) & ( v2_struct_0(A) => ( B = k16_cat_6(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d31_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v10_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k11_decomp_1(A)) ) ) ) ) ) ) )).
fof(d31_descip_1,axiom,( ! [A] : ( m2_finseq_2(A,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => k41_descip_1(A,B) = k40_descip_1(k38_descip_1(B),k34_descip_1,k25_descip_1,A) ) ) )).
fof(d31_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k28_fomodel0(A,B) = k2_xboole_0(k6_subset_1(k5_relat_1(A,k9_xtuple_0(A)),k5_relat_1(A,k9_xtuple_0(B))),B) ) ) )).
fof(d31_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k27_fomodel1(A) = k3_tarski(k10_xtuple_0(k25_fomodel1(A))) ) )).
fof(d31_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( v7_ordinal1(C) => ( C = k29_fomodel2(A,B) <=> ( v3_fomodel2(B,A,C) & ! [D] : ( v7_ordinal1(D) => ( v3_fomodel2(B,A,D) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) )).
fof(d31_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r11_fomodel4(A,B,C) <=> ? [D] : ? [E] : ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [F] : ( v4_fomodel2(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & r2_tarski(D,A) & k1_xfamily(D) = k1_xfamily(C) & k2_xfamily(D) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),E),F) & k2_xfamily(C) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),F),E) ) ) ) ) ) )).
fof(d31_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) & v1_xboole_0(H) ) => k31_gate_1(A,B,C,D,E,F,G,H) = k1_gate_1(k1_xboole_0) ) & ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) & v1_xboole_0(H) & k31_gate_1(A,B,C,D,E,F,G,H) != k1_xboole_0 ) ) )).
fof(d31_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k31_gfacirc1(A,B,C) = k2_circcomb(k29_gfacirc1(A,B,C),k5_circcomb(k18_twoscomp,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)))) )).
fof(d31_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k7_glib_000(A))) => ( D = k23_glib_000(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> r4_glib_000(A,B,C,E) ) ) ) ) )).
fof(d31_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v8_glib_001(B,A) <=> ( v1_glib_001(B,A) & v5_glib_001(B,A) & ~ v3_glib_001(B,A) ) ) ) ) )).
fof(d31_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k26_grcat_1(A) = a_1_0_grcat_1(A) ) )).
fof(d31_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => ! [B] : ( m2_finseq_1(B,u1_mmlquery(A)) => ( u1_struct_0(A) != k1_xboole_0 => k32_mmlquery(A,B) = a_2_1_mmlquery(A,B) ) ) ) )).
fof(d31_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k21_modelc_1(A,B,C) = a_3_0_modelc_1(A,B,C) ) ) ) )).
fof(d31_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => k23_modelc_3(A) = a_1_0_modelc_3(A) ) )).
fof(d31_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v17_monoid_0(A) & m2_monoid_0(A,k6_monoid_0) ) => ( A = k7_monoid_0 <=> u1_struct_0(A) = k4_ordinal1 ) ) )).
fof(d31_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => ! [G] : ( m1_msualg_6(G,A,C) => ( G = k22_msafree5(A,B,C,D,E,F) <=> ( k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C),G,D),k6_msafree5(A,B,D,E)) = k6_msafree5(A,B,D,F) & k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C),G,D),k6_msafree5(A,B,D,F)) = k6_msafree5(A,B,D,E) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,H)) => ( ~ ( H = D & ~ ( I != E & I != F ) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C),G,H),k6_msafree5(A,B,H,I)) = k6_msafree5(A,B,H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d31_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B))))) ) => ( C = k29_osafree(A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(D,k6_dtconstr(k2_osafree(A,B))) => k1_funct_1(C,k2_trees_4(u1_struct_0(k2_osafree(A,B)),D)) = k14_osafree(A,B,D) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B))) => ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r1_lang1(k2_osafree(A,B),D,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),E)) => k1_funct_1(C,k8_trees_4(u1_struct_0(k2_osafree(A,B)),D,E)) = k12_osafree(A,B,k13_osafree(A,B,D),k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),E,C)) ) ) ) ) ) ) ) ) )).
fof(d31_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v6_qc_lang1(B,A) <=> k24_qc_lang1(A,B) = k1_xboole_0 ) ) ) )).
fof(d31_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v6_substut1(B,A) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( C = k28_substut1(A,B) <=> ? [D] : ( m1_subset_1(D,k16_substut1(A)) & B = k21_substut1(A,C,D) & k19_substut1(A,C) = k19_substut1(A,D) ) ) ) ) ) ) )).
fof(d31_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( l1_turing_1(B) => ! [C] : ( ( v1_turing_1(C) & l1_turing_1(C) ) => ( C = k31_turing_1(A,B) <=> ( u1_turing_1(C) = k2_xboole_0(u1_turing_1(A),u1_turing_1(B)) & u2_turing_1(C) = k20_turing_1(A,B) & r1_funct_2(k2_zfmisc_1(u2_turing_1(C),u1_turing_1(C)),k3_zfmisc_1(u2_turing_1(C),u1_turing_1(C),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B))),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1)),u3_turing_1(C),k30_turing_1(A,B)) & u4_turing_1(C) = k1_domain_1(u2_turing_1(A),u2_turing_1(B),u4_turing_1(A),u4_turing_1(B)) & u5_turing_1(C) = k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),u5_turing_1(B)) ) ) ) ) ) )).
fof(d31_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r4_waybel_0(A,B,C,D) <=> ( r1_yellow_0(A,D) => ( r1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) & k1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_yellow_0(A,D)) ) ) ) ) ) ) ) )).
fof(d31_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v5_zf_lang(A) | v8_zf_lang(A) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v5_zf_lang(A) => ( B = k20_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & k6_zf_lang(B,C) = A ) ) ) & ( ~ v5_zf_lang(A) => ( B = k20_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & k9_zf_lang(B,C) = A ) ) ) ) ) ) ) )).
fof(d31_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => k28_zmodul02(A,B) = B ) ) )).
fof(d32_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & v14_abcmiz_0(A) & l3_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k12_abcmiz_0(A,B) = k2_rewrite1(k11_abcmiz_0(A),B) ) ) )).
fof(d32_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & k2_msualg_1(A,C) = B ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( m2_abcmiz_1(C,A,B) <=> k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(d32_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ( m1_aofa_000(D,A,B,C) <=> ( v13_aofa_000(D,A,B) & v14_aofa_000(D,A,B) & r2_aofa_000(A,B,C,D) & r3_aofa_000(A,B,C,D) ) ) ) ) ) ) )).
fof(d32_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k20_aofa_a00(A,B) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),1),u4_struct_0(A)),B),k1_xboole_0) ) ) )).
fof(d32_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m3_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => ! [G] : ( m3_aofa_i00(G,A,B,C,D) => ( G = k38_aofa_i00(A,B,C,D,E,F) <=> ! [H] : ( m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) => k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,G,H) = k5_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,E,H),k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,F,H),1,k5_numbers) ) ) ) ) ) ) ) ) ) )).
fof(d32_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( r6_armstrng(A,B,C) <=> ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r1_tarski(B,D) => ( D = A | r2_tarski(D,k14_armstrng(A,C)) ) ) ) & ! [D] : ~ ( r2_xboole_0(D,B) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ~ ( r1_tarski(D,E) & E != A & ~ r2_tarski(E,k14_armstrng(A,C)) ) ) ) ) ) ) )).
fof(d32_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k6_cat_6(A),k1_cat_6(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k6_cat_6(A),k1_cat_6(A)))) ) => ( ( ~ v2_struct_0(A) => ( B = k17_cat_6(A) <=> ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => k1_funct_1(B,C) = k9_cat_6(A,C) ) ) ) & ( v2_struct_0(A) => ( B = k17_cat_6(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d32_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v11_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k13_decomp_1(A)) ) ) ) ) ) ) )).
fof(d32_descip_1,axiom,( ! [A] : ( m2_finseq_2(A,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => k42_descip_1(A,B) = k40_descip_1(k1_descip_1(k4_finseq_2(48,k5_margrel1),16,k38_descip_1(B)),k34_descip_1,k25_descip_1,A) ) ) )).
fof(d32_fomodel0,axiom,( ! [A] : ! [B] : k29_fomodel0(A,B) = k2_xboole_0(k1_tarski(A),k1_tarski(B)) )).
fof(d32_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v13_fomodel1(B,A) <=> r2_tarski(B,k27_fomodel1(A)) ) ) ) )).
fof(d32_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v5_fomodel2(B,A) <=> v4_fomodel1(k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B),A) ) ) ) )).
fof(d32_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v12_fomodel4(C,B) => ( r12_fomodel4(A,B,C) <=> ? [D] : ? [E] : ? [F] : ( v4_fomodel2(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [G] : ( v4_fomodel2(G,B) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & ? [H] : ( v4_fomodel2(H,B) & m2_subset_1(H,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & r2_tarski(D,A) & r2_tarski(E,A) & k1_xfamily(D) = k1_xfamily(E) & k2_xfamily(D) = G & k2_xfamily(E) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),G),H) & k2_xboole_0(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),F),k1_xfamily(C)) = k1_xfamily(D) & k2_xfamily(C) = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),F),F) ) ) ) ) ) ) )).
fof(d32_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ( v18_functor0(C,A,B) <=> ? [D] : ( m2_pboole(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(A),k3_relat_1(u1_functor0(A,B,C),u1_altcat_1(B))) & r6_pboole(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,u2_functor0(A,B,C)) & v2_msualg_3(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(A),k3_relat_1(u1_functor0(A,B,C),u1_altcat_1(B))) ) ) ) ) ) )).
fof(d32_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & ~ v1_xboole_0(H) ) => k32_gate_1(A,B,C,D,E,F,G,H) = k1_gate_1(k1_xboole_0) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & ~ v1_xboole_0(H) & k32_gate_1(A,B,C,D,E,F,G,H) != k1_xboole_0 ) ) )).
fof(d32_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k32_gfacirc1(A,B,C) = k3_circcomb(k29_gfacirc1(A,B,C),k5_circcomb(k18_twoscomp,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k4_tarski(k10_finseq_1(C,A),k6_twoscomp))),k30_gfacirc1(A,B,C),k7_facirc_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k4_tarski(k10_finseq_1(C,A),k6_twoscomp),k18_twoscomp)) )).
fof(d32_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( m1_glib_000(B,A) <=> ( r1_tarski(k6_glib_000(B),k6_glib_000(A)) & r1_tarski(k7_glib_000(B),k7_glib_000(A)) & ! [C] : ( r2_tarski(C,k7_glib_000(B)) => ( k1_funct_1(k10_glib_000(B),C) = k1_funct_1(k10_glib_000(A),C) & k1_funct_1(k11_glib_000(B),C) = k1_funct_1(k11_glib_000(A),C) ) ) ) ) ) ) )).
fof(d32_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( m4_glib_001(C,A,B) <=> ( r1_glib_001(A,k3_glib_001(A,B),k4_glib_001(A,B),C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k12_glib_001(A,B))) & k12_glib_001(A,C) = k15_finseq_1(D) ) ) ) ) ) ) )).
fof(d32_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k27_grcat_1(A) = k5_grcat_1(k25_grcat_1(A),k26_grcat_1(A)) ) )).
fof(d32_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ! [E] : ( ( v8_group_9(E,A,C) & m2_finseq_1(E,k6_group_9(A,C)) ) => ( r5_group_9(A,B,C,D,E) <=> ( k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ~ ( k1_nat_1(F,1) = k3_finseq_1(D) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(F),k2_finseq_1(F)) & v3_funct_2(G,k2_finseq_1(F),k2_finseq_1(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(F),k2_finseq_1(F)))) ) => ? [H] : ( m1_group_9(H,A,B) & ? [I] : ( m1_group_9(I,A,C) & ? [J] : ( v4_group_9(J,A,H) & m1_group_9(J,A,H) & ? [K] : ( v4_group_9(K,A,I) & m1_group_9(K,A,I) & ? [L] : ( v7_ordinal1(L) & ? [M] : ( v7_ordinal1(M) & r1_xxreal_0(1,L) & r1_xxreal_0(L,F) & M = k1_funct_1(G,L) & H = k1_funct_1(D,L) & I = k1_funct_1(E,M) & J = k1_funct_1(D,k1_nat_1(L,1)) & K = k1_funct_1(E,k1_nat_1(M,1)) & ~ r3_group_9(A,k10_group_9(A,H,J),k10_group_9(A,I,K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d32_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => ! [B] : ( m2_finseq_1(B,u1_mmlquery(A)) => ( u1_struct_0(A) != k1_xboole_0 => k33_mmlquery(A,B) = a_2_2_mmlquery(A,B) ) ) ) )).
fof(d32_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( r2_tarski(C,k9_funct_2(k12_modelc_1,u1_struct_0(A))) => k22_modelc_1(A,B,C) = C ) & ( ~ r2_tarski(C,k9_funct_2(k12_modelc_1,u1_struct_0(A))) => k22_modelc_1(A,B,C) = k8_funcop_1(u1_struct_0(A),k12_modelc_1,B) ) ) ) ) )).
fof(d32_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( v7_ordinal1(C) => k18_modelc_2(A,B,C) = a_3_0_modelc_2(A,B,C) ) ) ) )).
fof(d32_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k25_modelc_2(k43_modelc_2)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r7_modelc_3(A,B,C) <=> ! [D] : ( ( r2_tarski(D,k22_modelc_3(A)) & r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(D,A))) ) => ( v3_modelc_3(k10_modelc_3(D,A),A) | ( r4_modelc_3(A,k10_modelc_3(D,A),k10_modelc_3(k1_funct_1(C,D),A)) & r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(C,D),A))) ) ) ) ) ) ) ) )).
fof(d32_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( v14_msafree5(C,A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,C)),k3_msualg_1(A,D,C)) => ( k1_msafree4(k3_msualg_1(A,D,C),k5_msualg_1(A,D,C),E) = k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),E) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,F)) => ! [H] : ( m1_msafree4(H,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,F)) => k1_msafree4(k3_msualg_1(A,D,C),k5_msualg_1(A,D,C),k5_msualg_3(A,C,C,D,k22_msafree5(A,B,C,F,G,H),E)) = k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),k5_msualg_3(A,C,C,D,k22_msafree5(A,B,C,F,G,H),E)) ) ) ) ) ) ) ) ) ) ) )).
fof(d32_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( m2_osafree(C,A,B) <=> k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),C) = C ) ) ) ) )).
fof(d32_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v1_relat_1(B) => ( m2_qc_lang1(B,A) <=> r2_wellord1(B,k6_subset_1(k1_qc_lang1(A),k4_ordinal1)) ) ) ) )).
fof(d32_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v6_substut1(B,A) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( C = k29_substut1(A,B) <=> ? [D] : ( m1_subset_1(D,k16_substut1(A)) & B = k21_substut1(A,D,C) & k19_substut1(A,D) = k19_substut1(A,C) ) ) ) ) ) ) )).
fof(d32_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( v1_xcmplx_0(B) => k14_valued_2(A,B) = k24_valued_1(A,k7_xcmplx_0(1,B)) ) ) )).
fof(d32_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v17_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r3_waybel_0(A,B,C,D) ) ) ) ) ) )).
fof(d32_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v5_zf_lang(A) | v8_zf_lang(A) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v5_zf_lang(A) => ( B = k21_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & k6_zf_lang(C,B) = A ) ) ) & ( ~ v5_zf_lang(A) => ( B = k21_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & k9_zf_lang(C,B) = A ) ) ) ) ) ) ) )).
fof(d32_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k26_zmodul02(A),k26_zmodul02(A)),k26_zmodul02(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k26_zmodul02(A),k26_zmodul02(A)),k26_zmodul02(A)))) ) => ( B = k29_zmodul02(A) <=> ! [C] : ( m1_subset_1(C,k26_zmodul02(A)) => ! [D] : ( m1_subset_1(D,k26_zmodul02(A)) => k4_binop_1(k26_zmodul02(A),B,C,D) = k22_zmodul02(A,k27_zmodul02(A,C),k27_zmodul02(A,D)) ) ) ) ) ) )).
fof(d33_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => k34_abcmiz_1(A) = k1_funct_1(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))),k14_abcmiz_1(A)) ) )).
fof(d33_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & l2_absred_0(A) ) => k6_absred_0(A) = k1_funct_1(k2_pua2mss1(A,k10_subset_1(1,k4_finseq_1(u1_unialg_1(A)))),k1_xboole_0) ) )).
fof(d33_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ! [F] : ( m1_aofa_000(F,A,C,E) => ( r4_aofa_000(A,B,C,D,E,F) <=> ? [G] : ( ~ v1_xboole_0(G) & m2_finseq_1(G,C) & k1_funct_1(G,1) = D & ~ r2_hidden(k1_funct_1(G,k3_finseq_1(G)),E) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(G),H) | ( r2_tarski(k1_funct_1(G,H),E) & k1_funct_1(G,k1_nat_1(H,1)) = k1_binop_1(F,k1_funct_1(G,H),B) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d33_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) => k21_aofa_a00(A,B,C) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),2),u4_struct_0(A)),B),k12_finseq_1(k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A)),C)) ) ) ) )).
fof(d33_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => k18_cat_6(A) = g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A)) ) )).
fof(d33_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v12_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k12_decomp_1(A)) ) ) ) ) ) ) )).
fof(d33_fomodel0,axiom,( ! [A] : ! [B] : k30_fomodel0(A,B) = k10_xtuple_0(k25_fomodel0(B,A)) )).
fof(d33_fomodel1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) => ( v14_fomodel1(C,A,B) <=> r2_tarski(C,k1_funct_1(k25_fomodel1(B),A)) ) ) ) ) )).
fof(d33_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => k35_fomodel2(A,B) = k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),B) ) ) )).
fof(d33_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( l1_altcat_1(B) => ! [C] : ( l2_functor0(C,A,B) => ( v19_functor0(C,A,B) <=> ( v4_functor0(C,A,B) & v17_functor0(C,A,B) ) ) ) ) ) )).
fof(d33_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) & v1_xboole_0(H) & k33_gate_1(A,B,C,D,E,F,G,H) != k1_gate_1(k1_xboole_0) ) & ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) & v1_xboole_0(F) & v1_xboole_0(G) & v1_xboole_0(H) ) => k33_gate_1(A,B,C,D,E,F,G,H) = k1_xboole_0 ) ) )).
fof(d33_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k33_gfacirc1(A,B,C) = k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)),k18_twoscomp) )).
fof(d33_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ( v9_glib_000(B,A) <=> k24_glib_000(A,B) = k6_glib_000(A) ) ) ) )).
fof(d33_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k28_grcat_1(A) = a_1_1_grcat_1(A) ) )).
fof(d33_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( ~ r1_xxreal_0(k3_finseq_1(C),1) => ( D = k20_group_9(A,B,C) <=> ( k3_finseq_1(C) = k1_nat_1(k3_finseq_1(D),1) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ! [F] : ( m1_group_9(F,A,B) => ! [G] : ( ( v4_group_9(G,A,F) & m1_group_9(G,A,F) ) => ( ( F = k1_funct_1(C,E) & G = k1_funct_1(C,k1_nat_1(E,1)) ) => k1_funct_1(D,E) = k10_group_9(A,F,G) ) ) ) ) ) ) ) ) & ( r1_xxreal_0(k3_finseq_1(C),1) => ( D = k20_group_9(A,B,C) <=> D = k1_xboole_0 ) ) ) ) ) ) )).
fof(d33_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => ! [B] : ( m2_finseq_1(B,u1_mmlquery(A)) => ( u1_struct_0(A) != k1_xboole_0 => k34_mmlquery(A,B) = a_2_3_mmlquery(A,B) ) ) ) )).
fof(d33_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ~ v1_xboole_0(C) => ( C = k23_modelc_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(k9_funct_2(k12_modelc_1,u1_struct_0(A)))) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & D = k21_modelc_1(A,B,E) ) ) ) ) ) ) ) )).
fof(d33_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( r2_tarski(C,k9_funct_2(k9_modelc_2,u1_struct_0(A))) => k19_modelc_2(A,B,C) = C ) & ( ~ r2_tarski(C,k9_funct_2(k9_modelc_2,u1_struct_0(A))) => k19_modelc_2(A,B,C) = k8_funcop_1(u1_struct_0(A),k9_modelc_2,B) ) ) ) ) )).
fof(d33_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k25_modelc_2(k43_modelc_2)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r8_modelc_3(A,B,C) <=> ! [D] : ( ( r2_tarski(D,k22_modelc_3(A)) & r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(D,A))) ) => ( v3_modelc_3(k10_modelc_3(D,A),A) | r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(C,D),A))) ) ) ) ) ) ) )).
fof(d33_monoid_0,axiom,( k24_binop_2 = u2_algstr_0(k7_monoid_0) )).
fof(d33_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v15_msafree5(C,A,B) <=> r1_rewrite1(k3_msualg_6(A),B,C) ) ) ) ) )).
fof(d33_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k30_osafree(A,B) = k10_xtuple_0(k29_osafree(A,B)) ) ) )).
fof(d33_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( ( ( r2_tarski(B,k4_ordinal1) & r2_tarski(C,k4_ordinal1) ) => ( r1_qc_lang1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & D = B & E = C & r1_xxreal_0(D,E) ) ) ) ) & ~ ( ~ r2_tarski(B,k4_ordinal1) & ~ r2_tarski(C,k4_ordinal1) & ~ ( r1_qc_lang1(A,B,C) <=> r2_hidden(k4_tarski(B,C),o_1_1_qc_lang1(A)) ) ) & ~ ( ~ ( r2_tarski(B,k4_ordinal1) & r2_tarski(C,k4_ordinal1) ) & ~ ( ~ r2_tarski(B,k4_ordinal1) & ~ r2_tarski(C,k4_ordinal1) ) & ~ ( r1_qc_lang1(A,B,C) <=> r2_tarski(C,k4_ordinal1) ) ) ) ) ) ) )).
fof(d33_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v7_substut1(B,A) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( C = k30_substut1(A,B) <=> ? [D] : ( m1_subset_1(D,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) & ? [E] : ( m1_substut1(E,A,D) & B = k24_substut1(A,D,E) & k23_substut1(A,D) = C & v3_substut1(D,A) ) ) ) ) ) ) ) )).
fof(d33_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k15_valued_2(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k30_valued_1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d33_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v18_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r4_waybel_0(A,B,C,D) ) ) ) ) ) )).
fof(d33_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v6_zf_lang(A) | v11_zf_lang(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ( ( v6_zf_lang(A) => ( B = k22_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & k7_zf_lang(B,C) = A ) ) ) & ( ~ v6_zf_lang(A) => ( B = k22_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & k12_zf_lang(B,C) = A ) ) ) ) ) ) ) )).
fof(d33_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_numbers,k26_zmodul02(A)),k26_zmodul02(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k26_zmodul02(A)),k26_zmodul02(A)))) ) => ( B = k30_zmodul02(A) <=> ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,k26_zmodul02(A)) => k1_funct_1(B,k4_tarski(C,D)) = k23_zmodul02(A,k27_zmodul02(A,D),C) ) ) ) ) ) )).
fof(d34_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_abcmiz_1) => ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => k35_abcmiz_1(A,B) = k1_trees_4(k4_tarski(A,k8_abcmiz_1)) ) ) )).
fof(d34_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_absred_0(A,B) = k1_funct_1(k2_pua2mss1(A,k10_subset_1(2,k4_finseq_1(u1_unialg_1(A)))),k12_finseq_1(u1_struct_0(A),B)) ) ) )).
fof(d34_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ! [F] : ( m1_aofa_000(F,A,C,E) => ! [G] : ( m1_subset_1(G,k6_numbers) => ( ( r4_aofa_000(A,B,C,D,E,F) => ( G = k20_aofa_000(A,B,C,D,E,F) <=> ? [H] : ( ~ v1_xboole_0(H) & m2_finseq_1(H,C) & G = k6_xcmplx_0(k3_finseq_1(H),1) & k1_funct_1(H,1) = D & ~ r2_hidden(k1_funct_1(H,k3_finseq_1(H)),E) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(1,I) => ( r1_xxreal_0(k3_finseq_1(H),I) | ( r2_tarski(k1_funct_1(H,I),E) & k1_funct_1(H,k1_nat_1(I,1)) = k1_binop_1(F,k1_funct_1(H,I),B) ) ) ) ) ) ) ) & ( ~ r4_aofa_000(A,B,C,D,E,F) => ( G = k20_aofa_000(A,B,C,D,E,F) <=> G = k1_supinf_1 ) ) ) ) ) ) ) ) ) ) )).
fof(d34_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) => k22_aofa_a00(A,B,C,D) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),3),u4_struct_0(A)),B),k2_finseq_4(k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A)),C,D)) ) ) ) ) )).
fof(d34_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m2_aofa_i00(E,A,B,C,D) => k40_aofa_i00(A,B,C,D,E) = k23_aofa_i00(B,E) ) ) ) ) ) )).
fof(d34_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k19_cat_6(A) = g1_cat_6(u4_struct_0(A),u1_cat_1(A)) ) )).
fof(d34_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v13_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k14_decomp_1(A)) ) ) ) ) ) ) )).
fof(d34_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k30_fomodel1(A,B) = k19_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)) ) ) )).
fof(d34_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k10_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r1_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d34_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( l1_altcat_1(B) => ! [C] : ( l2_functor0(C,A,B) => ( v20_functor0(C,A,B) <=> ( v18_functor0(C,A,B) & v5_functor0(C,A,B) ) ) ) ) ) )).
fof(d34_gate_1,axiom,( ! [A] : ! [B] : ( ~ ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) & k34_gate_1(A,B) != k1_gate_1(k1_xboole_0) ) & ( ~ ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) ) => k34_gate_1(A,B) = k1_xboole_0 ) ) )).
fof(d34_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k34_gfacirc1(A,B,C) = k8_facirc_1(A,B,C,k4_gfacirc1) )).
fof(d34_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( r5_glib_000(A,B) <=> ( k6_glib_000(A) = k6_glib_000(B) & k7_glib_000(A) = k7_glib_000(B) & r1_funct_2(k7_glib_000(A),k6_glib_000(A),k7_glib_000(B),k6_glib_000(B),k10_glib_000(A),k10_glib_000(B)) & r1_funct_2(k7_glib_000(A),k6_glib_000(A),k7_glib_000(B),k6_glib_000(B),k11_glib_000(A),k11_glib_000(B)) ) ) ) ) )).
fof(d34_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k29_grcat_1(A) = k5_grcat_1(k27_grcat_1(A),k28_grcat_1(A)) ) )).
fof(d34_group_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( r6_group_9(A,B,C,D) <=> ( k3_finseq_1(B) = k3_finseq_1(C) & ! [E] : ( ( ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & v3_group_9(E,A) & l1_group_9(E,A) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_group_1(F) & v3_group_1(F) & v3_group_9(F,A) & l1_group_9(F,A) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(G,k4_finseq_1(B)) & H = k1_funct_1(k2_funct_2(k4_finseq_1(B),D),G) & E = k1_funct_1(B,G) & F = k1_funct_1(C,H) ) => r3_group_9(A,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d34_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => ! [B] : ( m2_finseq_1(B,u1_mmlquery(A)) => ! [C] : ( v7_ordinal1(C) => ( u1_struct_0(A) != k1_xboole_0 => k35_mmlquery(A,B,C) = a_3_4_mmlquery(A,B,C) ) ) ) ) )).
fof(d34_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k24_modelc_1(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & r1_modelc_1(A,B,E) & D = k1_funct_1(E,C) ) ) ) ) ) ) )).
fof(d34_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( ~ v1_xboole_0(C) => ( C = k20_modelc_2(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(k9_funct_2(k9_modelc_2,u1_struct_0(A)))) & ? [E] : ( v7_ordinal1(E) & D = k18_modelc_2(A,B,E) ) ) ) ) ) ) ) )).
fof(d34_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_orders_1(B,k1_orders_1(k1_modelc_3(A)),k6_partfun1(k1_orders_1(k1_modelc_3(A)))) => ! [C] : ( ( v1_modelc_3(C,A) & l1_modelc_3(C,A) ) => ( ~ v3_modelc_3(C,A) => k24_modelc_3(A,B,C) = k1_funct_1(B,u2_modelc_3(A,C)) ) ) ) ) )).
fof(d34_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v1_group_1(B) & v3_group_1(B) & v2_monoid_0(B) & v16_monoid_0(B) & v17_monoid_0(B) & l3_algstr_0(B) ) => ( B = k9_monoid_0(A) <=> ( u1_struct_0(B) = k3_finseq_2(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k6_algstr_0(B,C,D) = k7_finseq_1(C,D) ) ) ) ) ) ) )).
fof(d34_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) => ! [E] : ( ( v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( v16_msafree5(E,A,B,C,D) <=> ? [F] : ( m1_subset_1(F,u4_struct_0(A)) & ? [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,F,k1_msafree3(A,B))) & E = k7_msafree5(A,B,F,G) & k17_msafree5(A,F,C,B,D,G) = k6_msafree5(A,B,C,D) ) ) ) ) ) ) ) ) )).
fof(d34_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => ( r3_pcs_0(A,B) <=> ( r1_tarski(u1_struct_0(A),u1_struct_0(B)) & r1_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),u1_orders_2(B)) & r1_relset_1(u1_struct_0(A),u1_struct_0(A),u1_pcs_0(A),u1_pcs_0(B)) ) ) ) ) )).
fof(d34_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( r2_qc_lang1(A,B,C) <=> ( r1_qc_lang1(A,B,C) & B != C ) ) ) ) ) )).
fof(d34_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v7_substut1(B,A) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( C = k31_substut1(A,B) <=> ? [D] : ( m1_subset_1(D,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) & ? [E] : ( m1_substut1(E,A,D) & B = k24_substut1(A,D,E) & k22_substut1(A,D) = C & v3_substut1(D,A) ) ) ) ) ) ) ) )).
fof(d34_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k20_valued_2(A,B,C) <=> ( k9_xtuple_0(D) = k1_relset_1(A,C) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_valued_0(E) ) => ( r2_tarski(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k1_funct_1(C,k30_valued_1(E)) ) ) ) ) ) ) ) )).
fof(d34_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v19_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r3_waybel_0(A,B,C,k7_domain_1(u1_struct_0(A),D,E)) ) ) ) ) ) ) )).
fof(d34_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v6_zf_lang(A) | v11_zf_lang(A) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v6_zf_lang(A) => ( B = k23_zf_lang(A) <=> ? [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) & k7_zf_lang(C,B) = A ) ) ) & ( ~ v6_zf_lang(A) => ( B = k23_zf_lang(A) <=> ? [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) & k12_zf_lang(C,B) = A ) ) ) ) ) ) ) )).
fof(d34_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k31_zmodul02(A) = g1_zmodul01(k26_zmodul02(A),k28_zmodul02(A,k19_zmodul02(A)),k29_zmodul02(A),k30_zmodul02(A)) ) )).
fof(d35_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v2_abcmiz_1(B,A) & m1_subset_1(B,u4_struct_0(A)) ) => ! [C] : ( m1_trees_4(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => ( k3_finseq_1(C) = k3_finseq_1(k1_msualg_1(A,B)) => k36_abcmiz_1(A,B,C) = k4_trees_4(k4_tarski(B,u1_struct_0(A)),C) ) ) ) ) )).
fof(d35_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_absred_0(A,B,C) = k1_funct_1(k2_pua2mss1(A,k10_subset_1(3,k4_finseq_1(u1_unialg_1(A)))),k2_finseq_4(u1_struct_0(A),B,C)) ) ) ) )).
fof(d35_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v30_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => v16_algstr_0(B,A) ) ) ) ) )).
fof(d35_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) => ( E = k21_aofa_000(A,B,C,D) <=> ( r1_tarski(k2_zfmisc_1(B,k18_aofa_000(A)),E) & r1_tarski(k2_zfmisc_1(B,k1_tarski(k12_aofa_000(A))),E) & ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( ( r2_hidden(k4_tarski(F,H),E) & r2_hidden(k4_tarski(k2_binop_1(B,u1_struct_0(A),B,D,F,H),I),E) ) => r2_hidden(k4_tarski(F,k13_aofa_000(A,H,I)),E) ) & ( ( r2_hidden(k4_tarski(F,G),E) & r2_hidden(k4_tarski(k2_binop_1(B,u1_struct_0(A),B,D,F,G),H),E) & r2_tarski(k2_binop_1(B,u1_struct_0(A),B,D,F,G),C) ) => r2_hidden(k4_tarski(F,k14_aofa_000(A,G,H,I)),E) ) & ( ( r2_hidden(k4_tarski(F,G),E) & r2_hidden(k4_tarski(k2_binop_1(B,u1_struct_0(A),B,D,F,G),I),E) ) => ( r2_hidden(k2_binop_1(B,u1_struct_0(A),B,D,F,G),C) | r2_hidden(k4_tarski(F,k14_aofa_000(A,G,H,I)),E) ) ) & ( r2_hidden(k4_tarski(F,G),E) => ( ! [J] : ( ( ~ v1_xboole_0(J) & m2_finseq_1(J,B) ) => ~ ( k1_funct_1(J,1) = k2_binop_1(B,u1_struct_0(A),B,D,F,G) & ~ r2_hidden(k1_funct_1(J,k3_finseq_1(J)),C) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(1,K) => ( r1_xxreal_0(k3_finseq_1(J),K) | ( r2_tarski(k1_funct_1(J,K),C) & r2_hidden(k4_tarski(k1_funct_1(J,K),k13_aofa_000(A,H,G)),E) & k1_funct_1(J,k1_nat_1(K,1)) = k1_binop_1(D,k1_funct_1(J,K),k13_aofa_000(A,H,G)) ) ) ) ) ) ) | r2_hidden(k4_tarski(F,k16_aofa_000(A,G,H)),E) ) ) ) ) ) ) ) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) => ( ( r1_tarski(k2_zfmisc_1(B,k18_aofa_000(A)),F) & r1_tarski(k2_zfmisc_1(B,k1_tarski(k12_aofa_000(A))),F) & ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( ( r2_hidden(k4_tarski(G,I),F) & r2_hidden(k4_tarski(k2_binop_1(B,u1_struct_0(A),B,D,G,I),J),F) ) => r2_hidden(k4_tarski(G,k13_aofa_000(A,I,J)),F) ) & ( ( r2_hidden(k4_tarski(G,H),F) & r2_hidden(k4_tarski(k2_binop_1(B,u1_struct_0(A),B,D,G,H),I),F) & r2_tarski(k2_binop_1(B,u1_struct_0(A),B,D,G,H),C) ) => r2_hidden(k4_tarski(G,k14_aofa_000(A,H,I,J)),F) ) & ( ( r2_hidden(k4_tarski(G,H),F) & r2_hidden(k4_tarski(k2_binop_1(B,u1_struct_0(A),B,D,G,H),J),F) ) => ( r2_hidden(k2_binop_1(B,u1_struct_0(A),B,D,G,H),C) | r2_hidden(k4_tarski(G,k14_aofa_000(A,H,I,J)),F) ) ) & ( r2_hidden(k4_tarski(G,H),F) => ( ! [K] : ( ( ~ v1_xboole_0(K) & m2_finseq_1(K,B) ) => ~ ( k1_funct_1(K,1) = k2_binop_1(B,u1_struct_0(A),B,D,G,H) & ~ r2_hidden(k1_funct_1(K,k3_finseq_1(K)),C) & ! [L] : ( v7_ordinal1(L) => ( r1_xxreal_0(1,L) => ( r1_xxreal_0(k3_finseq_1(K),L) | ( r2_tarski(k1_funct_1(K,L),C) & r2_hidden(k4_tarski(k1_funct_1(K,L),k13_aofa_000(A,I,H)),F) & k1_funct_1(K,k1_nat_1(L,1)) = k1_binop_1(D,k1_funct_1(K,L),k13_aofa_000(A,I,H)) ) ) ) ) ) ) | r2_hidden(k4_tarski(G,k16_aofa_000(A,H,I)),F) ) ) ) ) ) ) ) ) => r1_relset_1(B,u1_struct_0(A),E,F) ) ) ) ) ) ) ) ) ) )).
fof(d35_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_subset_1(E,B) => k41_aofa_i00(A,B,C,D,E) = k24_aofa_i00(B,E) ) ) ) ) ) )).
fof(d35_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v14_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k15_decomp_1(A)) ) ) ) ) ) ) )).
fof(d35_fomodel0,axiom,( ! [A] : k32_fomodel0(A) = k9_xtuple_0(k9_subset_1(k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(A)),A,k6_partfun1(k9_xtuple_0(A)))) )).
fof(d35_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( v15_fomodel1(B,A) <=> ? [C] : ( v7_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & ? [D] : ( v3_card_1(D,k1_int_2(k19_fomodel1(A,C))) & m2_subset_1(D,k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k29_fomodel1(A))) & B = k7_finseq_1(k12_finseq_1(k1_fomodel1(A),C),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),D)) ) ) ) ) ) )).
fof(d35_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( ( ~ v15_fomodel1(B,A) => ( C = k36_fomodel2(A,B) <=> ? [D] : ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v5_relat_1(E,k1_fomodel1(A)) & C = k4_tarski(D,E) & B = k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)),D),E) ) ) ) ) & ( v15_fomodel1(B,A) => ( C = k36_fomodel2(A,B) <=> C = k4_tarski(B,k1_xboole_0) ) ) ) ) ) )).
fof(d35_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k11_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r2_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d35_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( l1_altcat_1(B) => ! [C] : ( l2_functor0(C,A,B) => ( v21_functor0(C,A,B) <=> ( v19_functor0(C,A,B) & v20_functor0(C,A,B) ) ) ) ) ) )).
fof(d35_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k35_gate_1(A,B,C,D,E) = k10_gate_1(C,D,k11_gate_1(A,B,E)) )).
fof(d35_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k35_gfacirc1(A,B,C) = k10_facirc_1(A,B,C,k4_gfacirc1) )).
fof(d35_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( r6_glib_000(A,B) <=> m1_glib_000(A,B) ) ) ) )).
fof(d35_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),1) & ~ r1_xxreal_0(k3_finseq_1(D),1) & ~ ! [E] : ( ( v8_group_9(E,A,B) & m2_finseq_1(E,k6_group_9(A,B)) ) => ( E = k21_group_9(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_group_9(I,A,B) => ! [J] : ( m1_group_9(J,A,B) => ! [K] : ( m1_group_9(K,A,B) => ( ( ( F = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(G,1),k6_xcmplx_0(k3_finseq_1(D),1)),H) & r1_xxreal_0(1,G) & r1_xxreal_0(G,k6_xcmplx_0(k3_finseq_1(C),1)) & r1_xxreal_0(1,H) & r1_xxreal_0(H,k6_xcmplx_0(k3_finseq_1(D),1)) & I = k1_funct_1(C,k1_nat_1(G,1)) & J = k1_funct_1(C,G) & K = k1_funct_1(D,H) ) => k1_funct_1(E,F) = k19_group_9(A,B,I,k17_group_9(A,B,J,K)) ) & ( F = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C),1),k6_xcmplx_0(k3_finseq_1(D),1)),1) => k1_funct_1(E,F) = k4_group_9(A,B) ) & k3_finseq_1(E) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C),1),k6_xcmplx_0(k3_finseq_1(D),1)),1) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d35_mmlquery,axiom,( ! [A] : ( ( v3_mmlquery(A) & l1_mmlquery(A) ) => ! [B] : ( m2_finseq_1(B,u1_mmlquery(A)) => ! [C] : ( v7_ordinal1(C) => ( u1_struct_0(A) != k1_xboole_0 => k36_mmlquery(A,B,C) = a_3_5_mmlquery(A,B,C) ) ) ) ) )).
fof(d35_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k25_modelc_1(A,B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),u4_modelc_1(A),B) ) ) )).
fof(d35_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k21_modelc_2(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & r4_modelc_2(A,B,E) & D = k1_funct_1(E,C) ) ) ) ) ) ) )).
fof(d35_modelc_3,axiom,( ! [A] : ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) => ! [D] : ( ( v1_modelc_3(D,B) & l1_modelc_3(D,B) ) => ( ( ( ( ~ v7_modelc_2(k24_modelc_3(B,C,D)) & r8_modelc_2(A,k14_modelc_3(B,k5_modelc_3(B,D,k24_modelc_3(B,C,D)))) ) | ( v7_modelc_2(k24_modelc_3(B,C,D)) & ~ r7_modelc_2(A,k12_modelc_2(k24_modelc_3(B,C,D))) ) ) => k25_modelc_3(A,B,C,D) = k5_modelc_3(B,D,k24_modelc_3(B,C,D)) ) & ~ ( ~ ( ~ v7_modelc_2(k24_modelc_3(B,C,D)) & r8_modelc_2(A,k14_modelc_3(B,k5_modelc_3(B,D,k24_modelc_3(B,C,D)))) ) & ~ ( v7_modelc_2(k24_modelc_3(B,C,D)) & ~ r7_modelc_2(A,k12_modelc_2(k24_modelc_3(B,C,D))) ) & k25_modelc_3(A,B,C,D) != k6_modelc_3(B,D,k24_modelc_3(B,C,D)) ) ) ) ) ) ) )).
fof(d35_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) => ! [E] : ( ( v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k3_msafree5(A,k1_msafree3(A,B),E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k3_msafree5(A,k1_msafree3(A,B),E))))) ) => ( F = k24_msafree5(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( k3_msafree5(A,k1_msafree3(A,B),G) = C => k1_funct_1(F,G) = k18_msafree5(A,B,C,D,E,G) ) ) ) ) ) ) ) ) ) )).
fof(d35_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_qc_lang1(A))) ) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( C = k25_qc_lang1(A,B) <=> ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,k1_qc_lang1(A)) => ( r2_tarski(D,B) => r1_qc_lang1(A,C,D) ) ) ) ) ) ) ) )).
fof(d35_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => k32_substut1(A,B) = B ) ) )).
fof(d35_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k21_valued_2(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k35_valued_1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d35_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v20_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r4_waybel_0(A,B,C,k7_domain_1(u1_struct_0(A),D,E)) ) ) ) ) ) ) )).
fof(d35_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v9_zf_lang(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( B = k24_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k10_zf_lang(B,C) ) ) ) ) ) )).
fof(d36_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( ( ? [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) & B = k30_abcmiz_1(A,k32_abcmiz_1(A),C) ) => k37_abcmiz_1(A,B) = k5_trees_2(B,k3_pre_poly(k4_ordinal1,k5_numbers)) ) & ( ! [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) => B != k30_abcmiz_1(A,k32_abcmiz_1(A),C) ) => k37_abcmiz_1(A,B) = k30_abcmiz_1(A,k32_abcmiz_1(A),B) ) ) ) ) )).
fof(d36_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v31_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => v17_algstr_0(B,A) ) ) ) ) )).
fof(d36_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v15_aofa_000(B,A) <=> ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ! [F] : ( m1_aofa_000(F,A,C,E) => r2_hidden(k4_tarski(D,B),k21_aofa_000(A,C,E,F)) ) ) ) ) ) ) ) )).
fof(d36_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k42_aofa_i00(A,B,C,D,E) = k40_aofa_i00(A,B,C,D,k41_aofa_i00(A,B,C,D,E)) ) ) ) ) ) )).
fof(d36_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v15_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k16_decomp_1(A)) ) ) ) ) ) ) )).
fof(d36_fomodel0,axiom,( ! [A] : k33_fomodel0(A) = k9_xtuple_0(k9_subset_1(k2_zfmisc_1(k3_xboole_0(k9_xtuple_0(A),k10_xtuple_0(A)),k3_xboole_0(k9_xtuple_0(A),k10_xtuple_0(A))),A,k6_partfun1(k3_xboole_0(k9_xtuple_0(A),k10_xtuple_0(A))))) )).
fof(d36_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k31_fomodel1(A) = a_1_0_fomodel1(A) ) )).
fof(d36_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k37_fomodel2(A,B) = k1_xfamily(k36_fomodel2(A,B)) ) ) )).
fof(d36_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k12_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r3_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d36_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) ) => ! [D] : ( ( v8_functor0(D,A,B) & l2_functor0(D,A,B) ) => ! [E] : ( l2_functor0(E,B,C) => ! [F] : ( ( v9_functor0(F,A,C) & l2_functor0(F,A,C) ) => ( F = k13_functor0(A,B,C,D,E) <=> ( r8_binop_1(u1_struct_0(A),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)),u1_functor0(A,C,F),k1_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)),u1_functor0(A,B,D),u1_functor0(B,C,E))) & r8_pboole(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u2_functor0(A,C,F),k8_pboole(u2_functor0(A,B,D),k3_relat_1(u1_functor0(A,B,D),u2_functor0(B,C,E)))) ) ) ) ) ) ) ) ) )).
fof(d36_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k36_gate_1(A,B,C,D,E) = k11_gate_1(C,D,k11_gate_1(A,B,E)) )).
fof(d36_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k36_gfacirc1(A,B,C) = k9_facirc_1(A,B,C,k4_gfacirc1) )).
fof(d36_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( r7_glib_000(A,B) <=> ( r6_glib_000(A,B) & ~ r5_glib_000(A,B) ) ) ) ) )).
fof(d36_mmlquery,axiom,( ! [A] : ( ( v3_mmlquery(A) & l1_mmlquery(A) ) => ! [B] : ( m2_finseq_1(B,u1_mmlquery(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( u1_struct_0(A) != k1_xboole_0 => k37_mmlquery(A,B,C,D) = a_4_15_mmlquery(A,B,C,D) ) ) ) ) ) )).
fof(d36_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k26_modelc_1(A,B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),u5_modelc_1(A),B) ) ) )).
fof(d36_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k22_modelc_2(A,B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),u2_modelc_2(A),B) ) ) )).
fof(d36_modelc_3,axiom,( ! [A] : ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k22_modelc_3(B),k22_modelc_3(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(B),k22_modelc_3(B)))) ) => ( D = k26_modelc_3(A,B,C) <=> ! [E] : ( r2_tarski(E,k22_modelc_3(B)) => k1_funct_1(D,E) = k25_modelc_3(A,B,C,k10_modelc_3(E,B)) ) ) ) ) ) ) )).
fof(d36_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k11_monoid_0(A) = u2_algstr_0(k9_monoid_0(A)) ) )).
fof(d36_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,k3_card_3(B)) => ( v17_msafree5(D,A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => r2_tarski(k1_funct_1(D,E),k1_funct_1(B,k1_funct_1(C,E))) ) ) ) ) ) ) ) ) )).
fof(d36_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) ) => ! [C] : ( ( v12_pcs_0(C) & l2_pcs_0(C) ) => ( C = k17_pcs_0(A,B) <=> ( u1_struct_0(C) = k3_card_3(k12_pralg_1(A,B)) & u1_orders_2(C) = k3_card_3(k4_pcs_0(A,B)) & u1_pcs_0(C) = k3_card_3(k7_pcs_0(A,B)) ) ) ) ) )).
fof(d36_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ( B = k26_qc_lang1(A) <=> ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => r1_qc_lang1(A,B,C) ) ) ) ) )).
fof(d36_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) => ( ( r2_tarski(k21_qc_lang1(A,k33_substut1(A,B)),k10_xtuple_0(k7_substut1(A,k21_qc_lang1(A,k33_substut1(A,B)),k33_substut1(A,B),k34_substut1(A,B)))) => k35_substut1(A,B) = k2_qc_lang3(A,k13_substut1(A,k7_substut1(A,k21_qc_lang1(A,k33_substut1(A,B)),k33_substut1(A,B),k34_substut1(A,B)),k22_qc_lang1(A,k33_substut1(A,B)))) ) & ( ~ r2_tarski(k21_qc_lang1(A,k33_substut1(A,B)),k10_xtuple_0(k7_substut1(A,k21_qc_lang1(A,k33_substut1(A,B)),k33_substut1(A,B),k34_substut1(A,B)))) => k35_substut1(A,B) = k21_qc_lang1(A,k33_substut1(A,B)) ) ) ) ) )).
fof(d36_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k25_valued_2(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k54_valued_1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d36_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v21_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel_0(D,A) => ( v1_xboole_0(D) | r3_waybel_0(A,B,C,D) ) ) ) ) ) ) ) )).
fof(d36_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v9_zf_lang(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( B = k25_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k10_zf_lang(C,B) ) ) ) ) ) )).
fof(d36_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_zmodul02(B,A) <=> ! [C] : ( m2_zmodul02(C,A,B) => ( k21_zmodul02(A,C) = k4_struct_0(A) => k18_zmodul02(A,C) = k1_xboole_0 ) ) ) ) ) )).
fof(d37_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( v6_abcmiz_1(B,A) <=> ! [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) => B != k30_abcmiz_1(A,k32_abcmiz_1(A),C) ) ) ) ) )).
fof(d37_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v32_algstr_0(A) <=> ( v30_algstr_0(A) & v31_algstr_0(A) ) ) ) )).
fof(d37_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_aofa_000(E,A,B,C) => ( r5_aofa_000(A,B,C,D,E) <=> ! [F] : ( m1_subset_1(F,B) => r2_hidden(k4_tarski(F,D),k21_aofa_000(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(d37_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( v1_int_1(E) => k43_aofa_i00(A,B,C,D,E) = k25_aofa_i00(B,E) ) ) ) ) ) )).
fof(d37_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v16_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k17_decomp_1(A)) ) ) ) ) ) ) )).
fof(d37_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( m2_subset_1(C,k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k29_fomodel1(A))) => ( C = k33_fomodel1(A,B) <=> ( v3_card_1(C,k1_int_2(k19_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)))) & B = k7_finseq_1(k12_finseq_1(k15_fomodel1(A),k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),C)) ) ) ) ) ) )).
fof(d37_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k38_fomodel2(A,B) = k2_xfamily(k36_fomodel2(A,B)) ) ) )).
fof(d37_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k13_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r4_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d37_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_altcat_2(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_altcat_2(C,A) ) => ! [D] : ( l2_functor0(D,A,B) => k14_functor0(A,B,C,D) = k13_functor0(C,A,B,k10_functor0(A,C),D) ) ) ) ) )).
fof(d37_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k37_gate_1(A,B,C,D,E,F,G) = k10_gate_1(E,F,k36_gate_1(A,B,C,D,G)) )).
fof(d37_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k37_gfacirc1(A,B,C) = k2_circcomb(k34_gfacirc1(A,B,C),k31_gfacirc1(A,B,C)) )).
fof(d37_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( m1_glib_000(D,A) => ( ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & r1_tarski(C,k21_glib_000(A,B)) ) => ( m2_glib_000(D,A,B,C) <=> ( k24_glib_000(A,D) = B & k25_glib_000(A,D) = C ) ) ) & ( ~ ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & r1_tarski(C,k21_glib_000(A,B)) ) => ( m2_glib_000(D,A,B,C) <=> r5_glib_000(D,A) ) ) ) ) ) )).
fof(d37_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k27_modelc_1(A,B,C) = k4_binop_1(u1_struct_0(A),u6_modelc_1(A),B,C) ) ) ) )).
fof(d37_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k23_modelc_2(A,B,C) = k4_binop_1(u1_struct_0(A),u3_modelc_2(A),B,C) ) ) ) )).
fof(d37_monoid_0,axiom,( ! [A] : ! [B] : ( ( v15_algstr_0(B) & v1_monoid_0(B) & l3_algstr_0(B) ) => ( B = k12_monoid_0(A) <=> ( u1_struct_0(B) = k4_partfun1(A,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k6_algstr_0(B,C,D) = k3_relat_1(C,D) ) ) ) ) ) )).
fof(d37_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v18_msafree5(D,A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => r2_tarski(k1_funct_1(D,E),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),k1_funct_1(C,E))) ) ) ) ) ) ) ) ) )).
fof(d37_pcs_0,axiom,( ! [A] : ! [B] : k18_pcs_0(A,B) = k6_afinsq_1(A,B) )).
fof(d37_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => k27_qc_lang1(A,B) = a_2_3_qc_lang1(A,B) ) ) )).
fof(d37_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k36_substut1(A,B,C) = k15_qc_lang1(A,k35_substut1(A,k32_substut1(A,B)),C) ) ) ) )).
fof(d37_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k30_valued_2(A,B,C) <=> ( k9_xtuple_0(D) = k9_xtuple_0(B) & ! [E] : ( r2_hidden(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k7_valued_1(k1_funct_1(B,E),C) ) ) ) ) ) ) ) )).
fof(d37_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel_0(D,A) => ( v1_xboole_0(D) | r4_waybel_0(A,B,C,D) ) ) ) ) ) ) ) )).
fof(d37_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v10_zf_lang(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( B = k26_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k11_zf_lang(B,C) ) ) ) ) ) )).
fof(d37_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => ( C = k33_zmodul02(A,B) <=> u1_struct_0(C) = a_2_4_zmodul02(A,B) ) ) ) ) )).
fof(d38_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( v7_abcmiz_1(B,A) <=> ? [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) & v6_abcmiz_1(C,A) & B = k30_abcmiz_1(A,k32_abcmiz_1(A),C) ) ) ) ) )).
fof(d38_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v33_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => v23_algstr_0(B,A) ) ) ) ) )).
fof(d38_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_aofa_000(E,A,B,C) => ! [F] : ( r6_aofa_000(A,B,C,D,E,F) <=> ! [G] : ( m1_subset_1(G,B) => ( r2_tarski(G,F) => r2_hidden(k4_tarski(G,D),k21_aofa_000(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(d38_aofa_a00,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( l6_aofa_a00(C) => ( v18_aofa_a00(C,A,B) <=> ( r1_xxreal_0(k2_xcmplx_0(A,6),k3_finseq_1(u7_aofa_a00(C))) & ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & D = B & D != u8_aofa_a00(C) & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),A),k1_xboole_0,D) & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,1)),k1_xboole_0,D) & k1_funct_1(u7_aofa_a00(C),A) != k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,1)) & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,2)),k9_finseq_1(D),D) & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,3)),k10_finseq_1(D,D),D) & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,4)),k10_finseq_1(D,D),D) & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,5)),k10_finseq_1(D,D),D) & k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,3)) != k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,4)) & k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,3)) != k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,5)) & k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,4)) != k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,5)) & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,6)),k10_finseq_1(D,D),u8_aofa_a00(C)) ) ) ) ) ) )).
fof(d38_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m2_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => k44_aofa_i00(A,B,C,D,E,F) = o_6_0_aofa_i00(A,B,C,D,E,F) ) ) ) ) ) ) )).
fof(d38_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v17_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k19_decomp_1(A)) ) ) ) ) ) ) )).
fof(d38_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v15_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( ( v3_card_1(C,k1_int_2(k19_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)))) & m2_subset_1(C,k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k29_fomodel1(A))) ) => ( C = k34_fomodel1(A,B) <=> B = k7_finseq_1(k12_finseq_1(k15_fomodel1(A),k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),C)) ) ) ) ) )).
fof(d38_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_fomodel1(B)) => ( v7_fomodel2(C,A,B) <=> r2_tarski(C,k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(B)),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),A))) ) ) ) )).
fof(d38_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k14_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r5_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d38_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ( v21_functor0(C,A,B) => ! [D] : ( ( v9_functor0(D,B,A) & l2_functor0(D,B,A) ) => ( D = k15_functor0(A,B,C) <=> ( u1_functor0(B,A,D) = k2_funct_1(u1_functor0(A,B,C)) & ? [E] : ( m2_pboole(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(A),k3_relat_1(u1_functor0(A,B,C),u1_altcat_1(B))) & r8_pboole(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),E,u2_functor0(A,B,C)) & u2_functor0(B,A,D) = k3_relat_1(k2_funct_1(u1_functor0(A,B,C)),k4_msualg_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(A),k3_relat_1(u1_functor0(A,B,C),u1_altcat_1(B)),E)) ) ) ) ) ) ) ) ) )).
fof(d38_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k38_gate_1(A,B,C,D,E,F,G) = k11_gate_1(E,F,k36_gate_1(A,B,C,D,G)) )).
fof(d38_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k38_gfacirc1(A,B,C) = k3_circcomb(k34_gfacirc1(A,B,C),k31_gfacirc1(A,B,C),k35_gfacirc1(A,B,C),k32_gfacirc1(A,B,C)) )).
fof(d38_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k26_glib_000(A,B) = k18_glib_000(A,k6_domain_1(k6_glib_000(A),B)) ) ) )).
fof(d38_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k28_modelc_1(A,B,C) = k3_robbins1(A,k2_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) )).
fof(d38_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k24_modelc_2(A,B,C) = k4_binop_1(u1_struct_0(A),u4_modelc_2(A),B,C) ) ) ) )).
fof(d38_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) ) => ! [D] : ( ( v17_msafree5(D,A,B,C) & m2_finseq_1(D,k3_card_3(B)) ) => ! [E] : ( m2_finseq_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( v19_msafree5(E,A,B,C,D) <=> ( k4_finseq_1(E) = k4_finseq_1(C) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(C)) => ( v8_msafree5(k1_funct_1(E,F),A,B,k1_msafree3(A,B),k25_msafree5(A,C,F),k26_msafree5(A,B,C,D,F)) & m1_subset_1(k1_funct_1(E,F),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) ) ) ) ) ) ) ) ) )).
fof(d38_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => k28_qc_lang1(A,B) = k25_qc_lang1(A,k27_qc_lang1(A,B)) ) ) )).
fof(d38_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( C = k37_substut1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k16_substut1(A),k9_qc_lang1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k16_substut1(A),k9_qc_lang1(A)))) & C = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,B) & ! [E] : ( m1_subset_1(E,k16_substut1(A)) => ( ( v2_substut1(E,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,E) = k5_cqc_lang(A) ) & ( v4_substut1(E,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,E) = k10_qc_lang1(A,k16_qc_lang1(A,k18_substut1(A,E)),k3_substut1(A,k26_substut1(A,E),k19_substut1(A,E))) ) & ( v5_substut1(E,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,E) = k13_qc_lang1(A,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,k27_substut1(A,E))) ) & ( v6_substut1(E,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,E) = k14_qc_lang1(A,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,k28_substut1(A,E)),k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,k29_substut1(A,E))) ) & ( v7_substut1(E,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,E) = k36_substut1(A,E,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),D,k31_substut1(A,E))) ) ) ) ) ) ) ) ) )).
fof(d38_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( v1_xcmplx_0(C) => k36_valued_2(A,B,C) = k30_valued_2(A,B,k4_xcmplx_0(C)) ) ) ) )).
fof(d38_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ ( ~ v2_struct_0(A) & ~ v2_struct_0(B) & ~ ( v23_waybel_0(C,A,B) <=> ( v2_funct_1(C) & v5_orders_3(C,A,B) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & D = k2_funct_1(C) & v5_orders_3(D,B,A) ) ) ) ) & ( ~ ( ~ v2_struct_0(A) & ~ v2_struct_0(B) ) => ( v23_waybel_0(C,A,B) <=> ( v2_struct_0(A) & v2_struct_0(B) ) ) ) ) ) ) ) )).
fof(d38_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v10_zf_lang(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( B = k27_zf_lang(A) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & A = k11_zf_lang(C,B) ) ) ) ) ) )).
fof(d39_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ( v8_abcmiz_1(B,A) <=> ( v6_abcmiz_1(B,A) | v7_abcmiz_1(B,A) ) ) ) ) )).
fof(d39_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( v34_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => v24_algstr_0(B,A) ) ) ) ) )).
fof(d39_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_aofa_000(E,A,B,C) => ! [F] : ( r7_aofa_000(A,B,C,D,E,F) <=> ! [G] : ( m1_subset_1(G,B) => ( r2_tarski(G,F) => r2_tarski(k2_binop_1(B,u1_struct_0(A),B,E,G,D),F) ) ) ) ) ) ) ) ) )).
fof(d39_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l6_aofa_a00(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v19_aofa_a00(B,A) <=> B = 1 ) ) ) )).
fof(d39_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => k24_aofa_l00(A,B,C,D,E,F,G,H) = k1_funct_1(k5_msualg_1(E,k10_subset_1(k1_funct_1(u7_aofa_a00(E),k2_xcmplx_0(A,6)),u4_struct_0(E)),F),k10_finseq_1(H,G)) ) ) ) ) ) ) ) ) )).
fof(d39_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v18_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k18_decomp_1(A)) ) ) ) ) ) ) )).
fof(d39_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k35_fomodel1(A),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))))) ) => ( B = k36_fomodel1(A) <=> ! [C] : ( m2_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)) => k3_funct_2(k35_fomodel1(A),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)),B,C) = k33_fomodel1(A,C) ) ) ) ) )).
fof(d39_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k15_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r6_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d39_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r1_functor0(A,B) <=> ? [C] : ( m2_functor0(C,A,B) & v21_functor0(C,A,B) & v15_functor0(C,A,B) ) ) ) ) )).
fof(d39_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : k39_gate_1(A,B,C,D,E,F,G,H,I) = k10_gate_1(G,H,k38_gate_1(A,B,C,D,E,F,I)) )).
fof(d39_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k27_glib_000(A,B) = k19_glib_000(A,k6_domain_1(k6_glib_000(A),B)) ) ) )).
fof(d39_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( m1_modelc_1(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => r2_hidden(k4_tarski(k1_funct_1(C,D),k3_funct_2(k4_ordinal1,A,C,k1_nat_1(D,1))),B) ) ) ) ) ) )).
fof(d39_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k25_modelc_2(A) = k9_funct_2(k4_ordinal1,A) ) )).
fof(d39_modelc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( l2_modelc_3(B,A) => ! [C] : ( m1_subset_1(C,k25_modelc_2(A)) => ( r9_modelc_3(A,B,C) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & r2_tarski(k8_nat_1(u1_struct_0(B),D,k5_numbers),u5_modelc_3(A,B)) & ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(k4_tarski(k8_nat_1(u1_struct_0(B),D,E),k8_nat_1(A,k27_modelc_2(A,C),E)),k8_nat_1(u1_struct_0(B),D,k1_nat_1(E,1))),u4_modelc_3(A,B)) & ! [F] : ( r2_tarski(F,u6_modelc_3(A,B)) => ~ v1_finset_1(a_4_0_modelc_3(A,B,D,F)) ) ) ) ) ) ) ) ) )).
fof(d39_monoid_0,axiom,( ! [A] : k14_monoid_0(A) = u2_algstr_0(k12_monoid_0(A)) )).
fof(d39_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) ) => ! [D] : ( ( v17_msafree5(D,A,B,C) & m2_finseq_1(D,k3_card_3(B)) ) => ! [E] : ( ( v17_msafree5(E,A,B,C) & m2_finseq_1(E,k3_card_3(B)) ) => ( v20_msafree5(E,A,B,C,D) <=> r1_subset_1(k10_xtuple_0(D),k10_xtuple_0(E)) ) ) ) ) ) ) )).
fof(d39_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => k19_pcs_0(A,B) = k17_pcs_0(k7_domain_1(k4_ordinal1,k5_numbers,1),k18_pcs_0(A,B)) ) ) )).
fof(d39_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => k38_substut1(A) = a_1_0_substut1(A) ) )).
fof(d39_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k41_valued_2(A,B,C) <=> ( k9_xtuple_0(D) = k9_xtuple_0(B) & ! [E] : ( r2_hidden(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k24_valued_1(k1_funct_1(B,E),C) ) ) ) ) ) ) ) )).
fof(d39_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v24_waybel_0(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_lattice3(A,B,D) => r3_orders_2(A,C,D) ) ) ) ) ) ) )).
fof(d39_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r1_zf_lang(A,B) <=> ~ ( B != k5_zf_lang(A) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( B != k6_zf_lang(A,C) & B != k6_zf_lang(C,A) ) ) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => B != k7_zf_lang(C,A) ) ) ) ) ) )).
fof(d3_abcmiz_1,axiom,( ! [A] : ( m1_finseq_2(A,k2_abcmiz_1) => ( A = k4_abcmiz_1 <=> ! [B] : ( m2_finseq_1(B,k2_abcmiz_1) => ( r2_tarski(B,A) <=> ( v2_funct_1(B) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_tarski(k1_xfamily(k1_funct_1(B,C)),k2_relset_1(k2_abcmiz_1,k5_relat_1(B,C))) ) ) ) ) ) ) ) )).
fof(d3_abian,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_abian(A,B) <=> ( r2_hidden(A,k9_xtuple_0(B)) & A = k1_funct_1(B,A) ) ) ) )).
fof(d3_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_absred_0(A,B,C) <=> r1_rewrite1(u1_absred_0(A),B,C) ) ) ) ) )).
fof(d3_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ( B = k5_aescip_1(A) <=> ! [C] : ( m2_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k2_finseq_1(4)) & r2_tarski(E,k2_finseq_1(4)) & ! [F] : ( m2_finseq_2(F,k5_margrel1,k4_finseq_2(8,k5_margrel1)) => ~ ( F = k1_funct_1(k1_funct_1(C,D),E) & k1_funct_1(k1_funct_1(k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),B,C),D),E) = k3_funct_2(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1),k2_funct_2(k4_finseq_2(8,k5_margrel1),A),F) ) ) ) ) ) ) ) ) ) )).
fof(d3_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_aff_1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C != D & B = k2_aff_1(A,C,D) ) ) ) ) ) )).
fof(d3_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v3_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & r2_hidden(D,B) & r2_hidden(D,C) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,B) & r2_hidden(I,C) & r2_hidden(J,C) & r2_analoaf(A,E,I,F,H) & r2_analoaf(A,F,J,G,I) & r2_analoaf(A,E,J,G,H) ) => ( B = C | D = E | D = H | D = F | D = I | D = G | D = J | F = G | r2_hidden(H,C) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v3_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,B) & r2_hidden(E,C) & r2_hidden(H,C) & r2_hidden(I,C) & r2_hidden(J,D) & r2_hidden(K,D) & r1_aff_1(A,H,F,L) & r1_aff_1(A,I,G,L) & r1_aff_1(A,H,J,M) & r1_aff_1(A,I,K,M) & r2_analoaf(A,F,J,G,K) & r2_analoaf(A,F,J,L,M) ) => ( C = B | C = D | B = D | E = F | E = H | E = J | L = M | r1_aff_1(A,H,F,J) | r1_aff_1(A,I,G,K) | J = K | r2_hidden(E,D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_aff_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k2_aff_4(A,B,C) <=> ( r2_tarski(B,D) & r5_aff_1(A,C,D) ) ) ) ) ) ) ) )).
fof(d3_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) ) => ( C = k1_ordinal4(A,B) <=> ( k9_xtuple_0(C) = k1_nat_1(k1_afinsq_1(A),k1_afinsq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_afinsq_1(A)) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_afinsq_1(B)) => k1_funct_1(C,k2_xcmplx_0(k1_afinsq_1(A),D)) = k1_funct_1(B,D) ) ) ) ) ) ) ) )).
fof(d3_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k3_afinsq_2(A,B,C) = k2_afinsq_2(k5_relat_1(A,C),k7_nat_d(B,1)) ) ) ) )).
fof(d3_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k3_afproj(A) = a_1_2_afproj(A) ) )).
fof(d3_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_afvect0(A,B,C,D) <=> r2_analoaf(A,B,C,C,D) ) ) ) ) ) )).
fof(d3_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r3_alg_1(A,B,C) <=> ( r1_alg_1(A,B,C) & k2_relset_1(u1_struct_0(B),C) = u1_struct_0(B) ) ) ) ) ) )).
fof(d3_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k1_algseq_1(A,B) <=> ( r1_algseq_1(A,B,C) & ! [D] : ( v7_ordinal1(D) => ( r1_algseq_1(A,B,D) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) )).
fof(d3_algspec1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_algspec1(A,B,C) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( k1_funct_1(k1_funct_4(k6_partfun1(u4_struct_0(A)),C),D) = k1_funct_1(k1_funct_4(k6_partfun1(u4_struct_0(A)),C),E) => ( k3_relat_1(k1_msualg_1(A,D),k1_funct_4(k6_partfun1(u1_struct_0(A)),B)) = k3_relat_1(k1_msualg_1(A,E),k1_funct_4(k6_partfun1(u1_struct_0(A)),B)) & k1_funct_1(k1_funct_4(k6_partfun1(u1_struct_0(A)),B),k2_msualg_1(A,D)) = k1_funct_1(k1_funct_4(k6_partfun1(u1_struct_0(A)),B),k2_msualg_1(A,E)) ) ) ) ) ) ) ) ) )).
fof(d3_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_algstr_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_algstr_0(A,B,C) = k1_algstr_0(A,B,D) => C = D ) ) ) ) ) ) )).
fof(d3_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v2_algstr_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k1_algstr_0(A,D,B) = C ) ) ) ) ) )).
fof(d3_algstr_3,axiom,( k3_algstr_3 = g1_algstr_3(k1_numbers,k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers),k2_algstr_3) )).
fof(d3_altcat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k3_zfmisc_1(A,A,A)) & v1_funct_1(C) & v1_partfun1(C,k3_zfmisc_1(A,A,A)) ) => ( C = k2_altcat_1(A,B) <=> ! [D] : ! [E] : ! [F] : ( ( r2_hidden(D,A) & r2_hidden(E,A) & r2_hidden(F,A) ) => k1_multop_1(C,D,E,F) = k1_binop_1(B,D,F) ) ) ) ) )).
fof(d3_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => ( B = k2_altcat_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_binop_1(B,C,D) = k2_cat_1(A,C,D) ) ) ) ) ) )).
fof(d3_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( v2_altcat_3(D,A,B,C) <=> ? [E] : ( m1_subset_1(E,k1_altcat_1(A,C,B)) & r1_altcat_3(A,C,B,E,D) ) ) ) ) ) ) )).
fof(d3_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & m1_altcat_2(B,A) ) => ( B = k3_altcat_4(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,D)) => ( r2_tarski(E,k1_binop_1(u1_altcat_1(B),C,D)) <=> ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & v1_altcat_3(E,A,C,D) ) ) ) ) ) ) ) ) ) )).
fof(d3_altcat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_altcat_6(E,A,D,B,C) => ( v1_altcat_6(E,A,B,C,D) <=> ! [F] : ~ ( r2_tarski(F,B) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( G = k1_funct_1(C,F) & r2_tarski(k1_funct_1(E,F),k1_altcat_1(A,G,D)) ) ) ) ) ) ) ) ) )).
fof(d3_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k2_ami_3(A,B) = k3_xtuple_0(1,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d3_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ( v2_ami_wstd(B,A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v3_funct_2(C,k4_ordinal1,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(D,E) <=> r1_ami_wstd(A,B,k3_funct_2(k4_ordinal1,k4_ordinal1,C,D),k3_funct_2(k4_ordinal1,k4_ordinal1,C,E)) ) ) ) ) ) ) ) )).
fof(d3_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_compos_1(B)) => k1_amistd_1(A,B,C,D) = a_4_0_amistd_1(A,B,C,D) ) ) ) ) )).
fof(d3_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v3_amistd_2(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => k2_xcmplx_0(k5_memstr_0(A,B,k2_extpro_1(A,B,k8_compos_0(u1_compos_1(B),C,D),F)),E) = k5_memstr_0(A,B,k2_extpro_1(A,B,k8_compos_0(u1_compos_1(B),C,k2_xcmplx_0(D,E)),k9_memstr_0(A,B,F,E))) ) ) ) ) ) ) ) )).
fof(d3_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( D = k2_amistd_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,D) <=> ~ ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => k1_funct_1(F,E) = k1_funct_1(k2_extpro_1(A,B,C,F),E) ) ) ) ) ) ) ) ) )).
fof(d3_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ( v3_amistd_5(B,A) <=> ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) & v4_extpro_1(D,A,B,C) ) => ( ~ v1_xboole_0(D) => r2_tarski(k4_struct_0(B),k9_xtuple_0(D)) ) ) ) ) ) ) )).
fof(d3_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r3_analmetr(A,B,C,D,E,F,G) <=> r2_analmetr(A,k5_algstr_0(A,C,B),k5_algstr_0(A,E,D),F,G) ) ) ) ) ) ) ) ) )).
fof(d3_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) => ( B = k1_analoaf(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & C = k1_domain_1(u1_struct_0(A),u1_struct_0(A),E,F) & D = k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,H) & r1_analoaf(A,E,F,G,H) ) ) ) ) ) ) ) ) )).
fof(d3_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_analort(A,B,C,D,E,F,G) <=> r1_analoaf(A,k2_analort(A,B,C,D),k2_analort(A,B,C,E),F,G) ) ) ) ) ) ) ) ) )).
fof(d3_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,k8_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A),k8_struct_0(A)))) ) => ( B = k1_anproj_1(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,k8_struct_0(A)) & r2_hidden(D,k8_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & C = E & D = F & r1_anproj_1(A,E,F) ) ) ) ) ) ) ) )).
fof(d3_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r3_anproj_2(A,B,C,D,E,F,G,H) <=> ( r2_anproj_1(A,B,C,F) & r2_anproj_1(A,B,D,G) & r2_anproj_1(A,B,E,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k4_aofa_a00(A,B,C,D,E,F) = k7_finseq_1(k8_finseq_4(A,B,C,D,E),k9_finseq_1(F)) )).
fof(d3_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_msafree(D,A,C) => ( v2_aofa_a01(D,A,B,C) <=> r2_pboole(u1_struct_0(A),k1_aofa_a01(A,B,C),D) ) ) ) ) ) )).
fof(d3_aofa_l00,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k2_aofa_l00(A,B,C) = k1_funct_4(k7_funcop_1(B,C),k5_relat_1(A,B)) ) )).
fof(d3_armstrng,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( B = k2_armstrng(A) <=> ! [C] : ( r2_tarski(C,B) <=> r1_armstrng(C,A) ) ) ) ) )).
fof(d3_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( B = k3_arytm_0(A) <=> k1_arytm_0(A,B) = k5_numbers ) ) ) )).
fof(d3_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ( ( r2_tarski(A,k5_arytm_3) => ( B = k3_arytm_2(A) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & A = C & B = a_1_0_arytm_2(C) ) ) ) & ( ~ r2_tarski(A,k5_arytm_3) => ( B = k3_arytm_2(A) <=> B = A ) ) ) ) ) )).
fof(d3_arytm_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_arytm_3(A,B) <=> ? [C] : ( v3_ordinal1(C) & B = k11_ordinal2(A,C) ) ) ) ) )).
fof(d3_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v3_asympt_0(A) <=> ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k5_numbers) ) ) ) )).
fof(d3_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k3_asympt_1(A) <=> ( k8_nat_1(k1_numbers,B,k5_numbers) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,B,C) = k2_power(C,A) ) ) ) ) ) ) )).
fof(d3_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k3_autalg_1(A) = g3_algstr_0(k1_autalg_1(A),k2_autalg_1(A)) ) )).
fof(d3_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k3_autgroup(A) = g3_algstr_0(k1_autgroup(A),k2_autgroup(A)) ) )).
fof(d3_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bagorder(B,A) <=> ! [C] : ( v7_ordinal1(C) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,k1_nat_1(C,1)),k8_nat_1(u1_struct_0(A),B,C)),u1_orders_2(A)) ) ) ) ) )).
fof(d3_ballot_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_ballot_1(A,B,C,D))) => ( E = k2_ballot_1(A,B,C,D) <=> ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( r2_tarski(F,E) <=> v1_ballot_1(F,A,B,C,D) ) ) ) ) ) ) )).
fof(d3_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v3_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,D,C)),k1_bcialg_1(A,B,D)) = k4_struct_0(A) ) ) ) ) ) )).
fof(d3_bcialg_4,axiom,( k2_bcialg_4 = g1_bcialg_4(k1_tarski(k5_numbers),k9_funct_5,k9_funct_5,k5_funct_5) )).
fof(d3_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & v3_bcialg_1(E) & v4_bcialg_1(E) & v5_bcialg_1(E) & v7_bcialg_1(E) & l2_bcialg_1(E) ) => ( m1_bcialg_5(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => k1_bcialg_5(E,F,G,A,B) = k1_bcialg_5(E,G,F,C,D) ) ) ) ) ) ) ) ) )).
fof(d3_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,B,C) = k1_binop_1(k1_bcialg_6(A),B,C) ) ) ) )).
fof(d3_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bhsp_1(A,B,C) <=> k2_bhsp_1(A,B,C) = k5_numbers ) ) ) ) )).
fof(d3_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k2_bhsp_2(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,D)) ) ) ) ) ) )).
fof(d3_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_bhsp_3(B,A) <=> ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,D)),C) ) ) ) ) ) )).
fof(d3_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_bhsp_4(A,B) = k1_bhsp_2(A,k1_bhsp_4(A,B)) ) ) )).
fof(d3_bhsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_bhsp_6(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k2_bhsp_6(A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(E) & r1_tarski(E,B) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(E,F) & r1_tarski(F,B) & r1_xxreal_0(D,k3_bhsp_1(A,k5_algstr_0(A,C,k1_bhsp_6(A,F)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( F = k3_bilinear(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),F,G,H) = k6_algstr_0(A,E,k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(d3_binari_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ( ( k7_partfun1(k5_margrel1,B,A) = k6_margrel1 => k3_binari_2(A,B) = k6_binarith(A,B) ) & ( k7_partfun1(k5_margrel1,B,A) != k6_margrel1 => k3_binari_2(A,B) = k6_xcmplx_0(k6_binarith(A,B),k5_series_1(2,A)) ) ) ) ) )).
fof(d3_binarith,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k4_ordinal1) ) => ( C = k5_binarith(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( r2_hidden(D,k2_finseq_1(A)) => k7_partfun1(k4_ordinal1,C,D) = k16_funcop_1(k4_ordinal1,k7_partfun1(k5_margrel1,B,D),k6_margrel1,k5_numbers,k5_series_1(2,k7_nat_d(D,1))) ) ) ) ) ) ) )).
fof(d3_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)),u1_struct_0(A)))) ) => ( B = k3_binom(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k10_nat_1(u1_struct_0(A),B,k5_numbers,C) = k4_struct_0(A) & ! [D] : ( v7_ordinal1(D) => k10_nat_1(u1_struct_0(A),B,k1_nat_1(D,1),C) = k1_algstr_0(A,C,k10_nat_1(u1_struct_0(A),B,D,C)) ) ) ) ) ) ) )).
fof(d3_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k1_binop_1(B,C,k1_binop_1(B,D,E)) = k1_binop_1(B,k1_binop_1(B,C,D),E) ) ) ) ) ) )).
fof(d3_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers))) ) => ( A = k3_binop_2 <=> ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k1_binop_1(A,B,C) = k2_xcmplx_0(B,C) ) ) ) ) )).
fof(d3_bintree1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ( v2_bintree1(A) <=> v1_bintree1(k9_xtuple_0(A)) ) ) )).
fof(d3_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k2_bintree2(A,B) = k2_funct_1(k1_bintree2(A,B)) ) ) )).
fof(d3_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_boolealg(A,B,C) <=> ( r3_lattices(A,B,C) & r3_lattices(A,C,B) ) ) ) ) ) )).
fof(d3_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => k2_boolmark(A,B,C) = k1_funct_4(k1_funct_4(B,k8_funcop_1(k5_margrel1,k8_petri(A,k6_domain_1(u4_struct_0(A),C)),k6_margrel1)),k8_funcop_1(k5_margrel1,k9_petri(A,k6_domain_1(u4_struct_0(A),C)),k7_margrel1)) ) ) ) )).
fof(d3_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => k7_borsuk_1(A,B,C) = a_3_1_borsuk_1(A,B,C) ) ) ) )).
fof(d3_borsuk_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_borsuk_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_borsuk_2(A,B,C) ) ) ) ) )).
fof(d3_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k3_borsuk_5(A,B) = k9_subset_1(k1_numbers,k1_borsuk_5,k2_rcomp_1(A,B)) ) ) )).
fof(d3_borsuk_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,C,B) => ( E = k2_borsuk_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),E,F) = k1_funct_1(D,k6_xcmplx_0(1,F)) ) ) ) ) ) ) ) )).
fof(d3_borsuk_7,axiom,( k8_borsuk_7 = k4_euclid_5(k4_xcmplx_0(1),k5_numbers,k5_numbers) )).
fof(d3_brouwer,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( ( v1_xreal_0(E) & ~ v3_xxreal_0(E) ) => ( ( m1_subset_1(C,u1_struct_0(k2_brouwer(A,B,E))) & m1_subset_1(D,u1_struct_0(k2_brouwer(A,B,E))) ) => ( C = D | ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( F = k3_brouwer(A,B,C,D,E) <=> ( r2_tarski(F,k9_subset_1(u1_struct_0(k15_euclid(A)),k4_topreal9(k15_euclid(A),C,D),k3_topreal9(A,B,E))) & F != C ) ) ) ) ) ) ) ) ) ) )).
fof(d3_bspace,axiom,( ! [A] : ! [B] : ( ( r2_hidden(B,A) => k3_bspace(A,B) = k5_struct_0(k2_bspace) ) & ( ~ r2_hidden(B,A) => k3_bspace(A,B) = k4_struct_0(k2_bspace) ) ) )).
fof(d3_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k3_bvfunc25(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k5_margrel1,D,E) = k19_bvfunc_1(k3_funct_2(A,k5_margrel1,B,E),k3_funct_2(A,k5_margrel1,C,E)) ) ) ) ) ) ) )).
fof(d3_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ( ( B != k1_xboole_0 => ( C = k3_bvfunc_2(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> r1_bvfunc_2(A,B,D) ) ) ) & ( B = k1_xboole_0 => ( C = k3_bvfunc_2(A,B) <=> C = k10_eqrel_1(A) ) ) ) ) ) ) )).
fof(d3_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( m1_c0sp1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) & k5_struct_0(B) = k5_struct_0(A) & k4_struct_0(B) = k4_struct_0(A) ) ) ) ) )).
fof(d3_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k3_c0sp2(A) = g1_funcsdom(k2_c0sp2(A),k2_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k1_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k5_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k4_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k3_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A))) ) )).
fof(d3_calcul_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_calcul_1(A,B) <=> r2_tarski(B,k10_xtuple_0(A)) ) ) )).
fof(d3_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r1_xxreal_0(1,k3_finseq_1(B)) => ( C = k4_calcul_2(A,B) <=> C = k1_funct_1(B,1) ) ) & ( ~ r1_xxreal_0(1,k3_finseq_1(B)) => ( C = k4_calcul_2(A,B) <=> C = k5_cqc_lang(A) ) ) ) ) ) ) )).
fof(d3_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = k2_cantor_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) & r1_tarski(E,B) & v1_finset_1(E) & D = k8_setfam_1(A,E) ) ) ) ) ) ) )).
fof(d3_card_1,axiom,( ! [A] : ! [B] : ( v1_card_1(B) => ( B = k2_card_1(A) <=> ( r2_tarski(k1_card_1(A),B) & ! [C] : ( v1_card_1(C) => ( r2_tarski(k1_card_1(A),C) => r1_ordinal1(B,C) ) ) ) ) ) )).
fof(d3_card_2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => k3_card_2(A,B) = k1_card_1(k1_funct_2(B,A)) ) ) )).
fof(d3_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k2_card_3(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k2_zfmisc_1(k1_funct_1(A,C),k1_tarski(C)) ) ) ) ) ) )).
fof(d3_card_5,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( v1_card_5(A) <=> k1_card_5(A) = A ) ) )).
fof(d3_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_card_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_card_fil(A,B,C) <=> ! [D] : ( ~ v1_xboole_0(D) => ( ( r1_tarski(D,C) & r2_tarski(k1_card_1(D),B) ) => r2_tarski(k1_setfam_1(D),C) ) ) ) ) ) ) )).
fof(d3_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( r3_card_lar(A,B) <=> ( r2_card_lar(A,B) & r1_card_lar(A,B) ) ) ) )).
fof(d3_cardfin2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( A = k3_cardfin2 <=> ( k8_nat_1(k4_numbers,A,k5_numbers) = 1 & k8_nat_1(k4_numbers,A,1) = k5_numbers & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_numbers,A,k1_nat_1(B,2)) = k3_xcmplx_0(k1_nat_1(B,1),k2_xcmplx_0(k8_nat_1(k4_numbers,A,B),k8_nat_1(k4_numbers,A,k1_nat_1(B,1)))) ) ) ) ) )).
fof(d3_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u4_struct_0(k2_oppcat_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(k2_oppcat_1(A))))) ) => ( D = k4_cat_3(A,B,C) <=> ! [E] : ( r2_tarski(E,B) => k7_partfun1(u4_struct_0(k2_oppcat_1(A)),D,E) = k5_oppcat_1(A,k7_partfun1(u4_struct_0(A),C,E)) ) ) ) ) ) )).
fof(d3_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) ) => k1_cat_4(A) = u1_cat_4(A) ) )).
fof(d3_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( ( v1_cat_1(D) & m3_cat_2(D,B) ) => ( D = k4_cat_5(A,B,C) <=> ( u1_struct_0(D) = k2_relset_1(u1_struct_0(B),k7_cat_1(A,B,C)) & r1_tarski(k2_relset_1(u4_struct_0(B),C),u4_struct_0(D)) & ! [E] : ( m3_cat_2(E,B) => ( ( u1_struct_0(E) = k2_relset_1(u1_struct_0(B),k7_cat_1(A,B,C)) & r1_tarski(k2_relset_1(u4_struct_0(B),C),u4_struct_0(E)) ) => m3_cat_2(D,E) ) ) ) ) ) ) ) ) )).
fof(d3_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ( r1_cat_6(A,B,C) => k2_cat_6(A,B,C) = k1_binop_1(u1_cat_6(A),B,C) ) ) ) ) )).
fof(d3_cat_7,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ( k1_cat_7(A,B,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( m1_cat_7(D,A,B,C) <=> r2_tarski(D,k1_cat_7(A,B,C)) ) ) ) ) ) ) )).
fof(d3_catalg_1,axiom,( ! [A] : ! [B] : ( ( v1_msualg_1(B) & l1_msualg_1(B) ) => ( B = k2_catalg_1(A) <=> ( u1_struct_0(B) = k2_zfmisc_1(k1_tarski(k5_numbers),k4_finseq_2(2,A)) & u4_struct_0(B) = k2_xboole_0(k2_zfmisc_1(k1_tarski(1),k4_finseq_2(1,A)),k2_zfmisc_1(k1_tarski(2),k4_finseq_2(3,A))) & ! [C] : ( r2_tarski(C,A) => ( k1_funct_1(u1_msualg_1(B),k4_tarski(1,k9_finseq_1(C))) = k1_xboole_0 & k1_funct_1(u2_msualg_1(B),k4_tarski(1,k9_finseq_1(C))) = k4_tarski(k5_numbers,k10_finseq_1(C,C)) ) ) & ! [C] : ! [D] : ! [E] : ( ( r2_tarski(C,A) & r2_tarski(D,A) & r2_tarski(E,A) ) => ( k1_funct_1(u1_msualg_1(B),k4_tarski(2,k11_finseq_1(C,D,E))) = k10_finseq_1(k4_tarski(k5_numbers,k10_finseq_1(D,E)),k4_tarski(k5_numbers,k10_finseq_1(C,D))) & k1_funct_1(u2_msualg_1(B),k4_tarski(2,k11_finseq_1(C,D,E))) = k4_tarski(k5_numbers,k10_finseq_1(C,E)) ) ) ) ) ) )).
fof(d3_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ~ v9_struct_0(B,A) => ( v2_cayldick(B,A) <=> k6_algstr_0(A,k2_cayldick(A,B),B) = k1_rlvect_1(A,k5_struct_0(A),k1_square_1(k2_normsp_0(A,B))) ) ) & ( v9_struct_0(B,A) => ( v2_cayldick(B,A) <=> v9_struct_0(k2_cayldick(A,B),A) ) ) ) ) ) )).
fof(d3_cayley,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => ( A = k1_xboole_0 | B = k1_xboole_0 | ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_cayley(A)),u1_struct_0(k2_cayley(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_cayley(A)),u1_struct_0(k2_cayley(B))))) ) => ( D = k3_cayley(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k2_cayley(A))) => k3_funct_2(u1_struct_0(k2_cayley(A)),u1_struct_0(k2_cayley(B)),D,E) = k3_relat_1(k2_funct_1(C),k3_relat_1(E,C)) ) ) ) ) ) ) )).
fof(d3_cc0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_cc0sp1(B,A) => ( v1_xboole_0(B) | k1_cc0sp1(A,B) = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k2_zfmisc_1(k2_numbers,B)) ) ) ) ) )).
fof(d3_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k2_cc0sp2(A) = a_1_0_cc0sp2(A) ) )).
fof(d3_cfcont_1,axiom,( ! [A] : ( v1_cfcont_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ~ ( r1_tarski(k2_relset_1(k2_numbers,B),A) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ~ ( m2_valued_0(C,k2_numbers,B) & v2_comseq_2(C) & r2_hidden(k3_comseq_2(C),A) ) ) ) ) ) )).
fof(d3_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v2_cfdiff_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v9_ordinal1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v1_cfdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k36_valued_1(k4_ordinal1,k2_numbers,B),k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,B,A))) & k3_comseq_2(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k36_valued_1(k4_ordinal1,k2_numbers,B),k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,B,A))) = k5_numbers ) ) ) ) )).
fof(d3_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_numbers,k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)))) ) => ( B = k3_cfuncdom(A) <=> ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m2_funct_2(D,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [E] : ( m1_subset_1(E,A) => k1_funct_1(k1_funct_1(B,k4_tarski(C,D)),E) = k3_xcmplx_0(C,k3_funct_2(A,k2_numbers,D,E)) ) ) ) ) ) ) )).
fof(d3_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) <=> ? [B] : ( v3_ordinal1(B) & r2_tarski(A,k2_cgames_1(B)) ) ) )).
fof(d3_chain_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_finseq_2(B,k1_numbers) => ( B = k1_euclid(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) ) ) ) ) ) )).
fof(d3_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( r1_chord(A,B,C) <=> ? [D] : r1_glib_000(A,B,C,D) ) ) ) ) )).
fof(d3_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ( v3_circcmb3(B,A) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => v1_circuit2(k5_facirc_1(A,B,D,C),A,B) ) ) ) ) ) )).
fof(d3_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( l3_msualg_1(D,B) => ( r2_circcomb(A,B,C,D) <=> ( r1_circcomb(A,B) & r1_partfun1(u3_msualg_1(A,C),u3_msualg_1(B,D)) & r1_partfun1(u4_msualg_1(A,C),u4_msualg_1(B,D)) ) ) ) ) ) ) )).
fof(d3_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_circled1(A,B) = k6_setfam_1(u1_struct_0(A),k1_circled1(A,B)) ) ) )).
fof(d3_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ( m3_msaterm(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(k1_circtrm1(A,B,C))) => ! [E] : ( l3_msualg_1(E,A) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( F = k3_circtrm1(A,B,C,D,E) <=> ! [G] : ( m3_msaterm(G,A,B) => ( G = C => ! [H] : ( m1_subset_1(H,u4_struct_0(k1_circtrm1(A,B,G))) => ( H = D => F = k1_funct_1(u4_msualg_1(A,E),k1_xtuple_0(k1_funct_1(H,k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k3_circuit1(A,B,C,D) = k3_relat_1(k1_msualg_1(A,D),C) ) ) ) ) )).
fof(d3_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree2(D,A,B) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => ( E = k4_circuit2(A,B,C,D) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) & k4_card_1(F) = k4_circuit1(A,B,C) & E = k3_funct_2(k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),k3_circuit2(A,B,D),C),F) ) ) ) ) ) ) ) )).
fof(d3_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => k2_ckspace1(A,B,C) = g1_funcsdom(k1_ckspace1(A,B,C),k2_c0sp1(k12_funcsdom(C),k1_ckspace1(A,B,C)),k1_c0sp1(k12_funcsdom(C),k1_ckspace1(A,B,C)),k5_c0sp1(k12_funcsdom(C),k1_ckspace1(A,B,C)),k4_c0sp1(k12_funcsdom(C),k1_ckspace1(A,B,C)),k3_c0sp1(k12_funcsdom(C),k1_ckspace1(A,B,C))) ) ) ) )).
fof(d3_classes1,axiom,( ! [A] : ! [B] : ( r1_classes1(A,B) <=> ( r2_tarski(A,B) & v2_classes1(B) ) ) )).
fof(d3_classes2,axiom,( k14_classes2 = k1_classes1(k13_classes2) )).
fof(d3_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_clopban1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xcmplx_0(E) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_clvect_1(A,D,E)) = k1_clvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) )).
fof(d3_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [C] : ( v1_xcmplx_0(C) => k4_clopban2(A,B,C) = k1_binop_1(k7_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),C,B) ) ) ) )).
fof(d3_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_clopban3(B,A) <=> v1_series_1(k5_normsp_0(A,B)) ) ) ) )).
fof(d3_clopban4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & v2_cfuncdom(B) & v5_clopban2(B) & l1_clopban2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( E = k3_clopban4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,A) => k1_normsp_0(B,E,F) = k6_algstr_0(B,k1_clvect_1(B,k3_clopban3(B,C,F),k8_nat_1(k2_numbers,k6_sin_cos(A),F)),k3_clopban3(B,D,k7_nat_d(A,F))) ) & ( ~ r1_xxreal_0(F,A) => k1_normsp_0(B,E,F) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(d3_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( v3_closure1(C,A,B) <=> ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => r6_pboole(A,k2_closure1(A,B,C,D),k2_closure1(A,B,C,k2_closure1(A,B,C,D))) ) ) ) ) )).
fof(d3_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( ( C != k1_xboole_0 => k4_closure2(A,B,C) = k3_closure2(C) ) & ( C = k1_xboole_0 => k4_closure2(A,B,C) = k1_pboole(A) ) ) ) ) )).
fof(d3_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( v3_clvect_1(A) <=> ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_clvect_1(A,D,k2_xcmplx_0(B,C)) = k1_algstr_0(A,k1_clvect_1(A,D,B),k1_clvect_1(A,D,C)) ) ) ) ) ) )).
fof(d3_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k2_clvect_2(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k11_csspace(A,k8_nat_1(u1_struct_0(A),B,D)) ) ) ) ) ) )).
fof(d3_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => k2_clvect_3(A,B,C) = k1_normsp_0(A,k1_bhsp_4(A,B),C) ) ) ) )).
fof(d3_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_classes1(C) & v1_coh_sp(C) ) => ( C = k2_coh_sp(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ! [E] : ! [F] : ( ( r2_tarski(E,D) & r2_tarski(F,D) ) => r2_hidden(k4_tarski(E,F),B) ) ) ) ) ) )).
fof(d3_cohsp_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( B = k2_cohsp_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,A) & v1_finset_1(C) ) ) ) ) )).
fof(d3_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ( v2_collsp(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( B != C & B != D & C != D ) => r2_tarski(k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,C,D),u1_collsp(A)) ) ) ) ) ) ) )).
fof(d3_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( A = B <=> ( k3_complex1(A) = k3_complex1(B) & k4_complex1(A) = k4_complex1(B) ) ) ) ) )).
fof(d3_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ( ~ ( k1_comptrig(A) != k5_numbers & B = k5_numbers ) => k3_complex2(A,B) = k1_comptrig(k2_complex2(B,k4_xcmplx_0(k1_comptrig(A)))) ) & ~ ( k1_comptrig(A) != k5_numbers & B = k5_numbers & k3_complex2(A,B) != k6_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_comptrig(A)) ) ) ) ) )).
fof(d3_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k7_complsp2(A) = k10_seq_4(k8_seq_4(A,k1_complsp2(A)),k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k7_complex1))) ) )).
fof(d3_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(A)) => k6_compos_0(A,B) = a_2_0_compos_0(A,B) ) ) )).
fof(d3_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => k3_compos_2(A,B,C) = k8_compos_1(A,k11_compos_1(A,B),k11_compos_1(A,C)) ) ) ) )).
fof(d3_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v10_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B != k1_xboole_0 & C != k1_xboole_0 & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) ) )).
fof(d3_comput_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_comput_1(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(B,k10_xtuple_0(A)) & r2_tarski(C,k10_xtuple_0(A)) ) => ( ~ ( v1_xboole_0(B) & ~ v1_xboole_0(C) & k9_xtuple_0(C) != k1_tarski(k1_xboole_0) ) & ~ ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( ~ v1_xboole_0(E) => ~ ( r1_tarski(k9_xtuple_0(B),k4_finseq_2(D,E)) & r1_tarski(k9_xtuple_0(C),k4_finseq_2(D,E)) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_comseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_comseq_2(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ~ ( r2_tarski(C,k9_xtuple_0(A)) & r1_xxreal_0(B,k9_complex1(k1_funct_1(A,C))) ) ) ) ) )).
fof(d3_comseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k3_comseq_3(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k3_complex1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d3_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v3_conaffm(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r5_analmetr(A,B,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r4_analmetr(A,E,B,C,D) & r4_analmetr(A,E,C,B,D) & r4_analmetr(A,E,D,B,C) ) ) ) ) ) ) ) ) )).
fof(d3_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A))))) ) => ( B = k1_conlat_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),B,C) = a_2_0_conlat_1(A,C) ) ) ) ) )).
fof(d3_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) => k3_conlat_2(A,B) = k15_lattice3(k11_conlat_1(A),B) ) ) )).
fof(d3_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_connsp_1(B,A) <=> v1_connsp_1(k1_pre_topc(A,B)) ) ) ) )).
fof(d3_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_connsp_2(A,B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( m1_connsp_2(C,A,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( m1_connsp_2(D,A,B) & v2_connsp_1(D,A) & r1_tarski(D,C) ) ) ) ) ) ) ) )).
fof(d3_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => k2_connsp_3(A,B,C) = C ) ) ) ) )).
fof(d3_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ( v2_convex1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v2_funct_1(C) & k10_xtuple_0(C) = k3_rlvect_2(A,B) & ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(C) & k18_rvsum_1(D) = 1 & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ( k1_funct_1(D,E) = k1_funct_1(B,k1_funct_1(C,E)) & r1_xxreal_0(k5_numbers,k1_funct_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(d3_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_convex3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => ( r1_xxreal_0(C,k5_numbers) | r2_tarski(k1_rlvect_1(A,D,C),B) ) ) ) ) ) ) ) )).
fof(d3_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_convex4(B,A) => ( B = k2_convex4(A) <=> k1_convex4(A,B) = k1_xboole_0 ) ) ) )).
fof(d3_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => k3_convfun1(A,B) = g1_rlvect_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_struct_0(A),k4_struct_0(B)),k1_convfun1(A,B),k2_convfun1(A,B)) ) ) )).
fof(d3_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( D = k13_cqc_lang(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k9_qc_lang1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k9_qc_lang1(A)))) & D = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,B) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ( k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,k5_cqc_lang(A)) = k5_cqc_lang(A) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,F) = k10_qc_lang1(A,k16_qc_lang1(A,F),k1_cqc_lang(A,k17_qc_lang1(A,F),k2_cqc_lang(A,k3_qc_lang3(A,k5_numbers),C))) ) & ( v3_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,F) = k13_qc_lang1(A,k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,k18_qc_lang1(A,F))) ) & ( v4_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,F) = k14_qc_lang1(A,k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,k19_qc_lang1(A,F)),k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,k20_qc_lang1(A,F))) ) & ( v5_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,F) = k16_funcop_1(k9_qc_lang1(A),k21_qc_lang1(A,F),C,F,k15_qc_lang1(A,k21_qc_lang1(A,F),k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),E,k22_qc_lang1(A,F)))) ) ) ) ) ) ) ) ) ) )).
fof(d3_cqc_the1,axiom,( k2_cqc_the1 = a_0_0_cqc_the1 )).
fof(d3_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( r3_cqc_the3(A,B) <=> ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_tarski(C,B) => v2_cqc_the1(C,A) ) ) ) ) ) )).
fof(d3_csspace3,axiom,( k3_csspace3 = g2_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3),k2_csspace3) )).
fof(d3_csspace4,axiom,( k3_csspace4 = g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4) )).
fof(d3_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( B = k2_dblseq_2(A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k1_binop_1(B,C,k5_numbers) = k1_binop_1(A,C,k5_numbers) & k1_binop_1(B,C,k1_nat_1(D,1)) = k2_xcmplx_0(k1_binop_1(B,C,D),k1_binop_1(A,C,k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(d3_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v1_int_1(C) => ( r1_xxreal_0(1,k3_finseq_1(B)) => ! [D] : ( m2_finseq_1(D,A) => ( D = k8_descip_1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(B))) => k1_funct_1(D,E) = k1_funct_1(B,k2_xcmplx_0(k5_int_1(k2_xcmplx_0(k6_xcmplx_0(E,1),C),k3_finseq_1(B)),1)) ) ) ) ) ) ) ) ) ) )).
fof(d3_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_dickson(A) <=> ( v3_orders_2(A) & v4_orders_2(A) ) ) ) )).
fof(d3_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => k3_diff_1(A,B) = k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_diff_1(A,B),A) ) ) )).
fof(d3_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_diraf(A,B,C,D) <=> r2_analoaf(A,B,C,C,D) ) ) ) ) ) )).
fof(d3_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_dirort(A,B,C,D,E) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & F != G & r4_analmetr(A,F,G,B,C) & r4_analmetr(A,F,G,D,E) ) ) ) ) ) ) ) ) )).
fof(d3_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( C = k4_dist_1(A,B) <=> ( k4_finseq_1(C) = k2_finseq_1(k4_card_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k3_dist_1(A,B,k1_funct_1(k19_finseq_1(A),D)) ) ) ) ) ) ) ) )).
fof(d3_dist_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k5_margrel1) & v1_funct_1(A) ) => k3_dist_2(A) = k8_relat_1(A,k6_domain_1(k5_margrel1,k7_margrel1)) ) )).
fof(d3_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ( v1_dtconstr(A) <=> k1_lang1(A) != k1_xboole_0 ) ) )).
fof(d3_dualsp01,axiom,( ! [A] : ( l1_vectsp_1(A,k2_vectsp_1) => k3_dualsp01(A) = u1_vectsp_1(k2_vectsp_1,A) ) )).
fof(d3_dualsp02,axiom,( k3_dualsp02 = g1_normsp_1(k1_numbers,k10_subset_1(k5_numbers,k1_numbers),k9_binop_2,k11_binop_2,k2_euclid) )).
fof(d3_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( v7_ordinal1(C) => k3_dynkin(A,B,C) = k7_subset_1(A,k8_nat_1(k9_setfam_1(A),B,C),k3_tarski(k10_xtuple_0(k5_relat_1(B,C)))) ) ) ) )).
fof(d3_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ! [D] : ( m2_subset_1(D,k3_ec_pf_1(k9_int_3(A)),k6_ec_pf_1(A,B,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(A))) => ( E = k4_ec_pf_2(A,B,C,D) <=> ! [F] : ! [G] : ! [H] : ( D = k3_xtuple_0(F,G,H) => E = F ) ) ) ) ) ) ) )).
fof(d3_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v22_algstr_0(B) & l4_algstr_0(B) ) => ( B = k3_endalg(A) <=> ( u1_struct_0(B) = k1_endalg(A) & u2_algstr_0(B) = k2_endalg(A) & k5_struct_0(B) = k6_partfun1(u1_struct_0(A)) ) ) ) ) )).
fof(d3_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => k3_ens_1(A,B) = k1_xfamily(k1_xfamily(B)) ) ) )).
fof(d3_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( F = k3_enumset1(A,B,C,D,E) <=> ! [G] : ( r2_hidden(G,F) <=> ~ ( G != A & G != B & G != C & G != D & G != E ) ) ) )).
fof(d3_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = k7_eqrel_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r2_tarski(D,C) <=> ? [E] : ( r2_hidden(E,A) & D = k6_eqrel_1(A,A,B,E) ) ) ) ) ) ) )).
fof(d3_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => k3_equation(A) = k11_msafree(A,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) ) )).
fof(d3_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k3_euclid(A) = k3_relat_1(A,k2_euclid) ) )).
fof(d3_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k3_euclid_3(A) = k1_comptrig(k2_euclid_3(A)) ) )).
fof(d3_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => k3_euclid_5(A) = k1_funct_1(A,3) ) )).
fof(d3_euclid_7,axiom,( ! [A] : ( v1_euclid_7(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => ( B = C | k22_rvsum_1(B,C) = k5_numbers ) ) ) ) ) )).
fof(d3_euclid_8,axiom,( k4_euclid_8 = k1_euclid_8(k5_numbers,k5_numbers,1) )).
fof(d3_euclid_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_euclid_9(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(A)) => k1_funct_1(C,D) = k2_rcomp_1(k6_xcmplx_0(k1_funct_1(A,D),B),k2_xcmplx_0(k1_funct_1(A,D),B)) ) ) ) ) ) ) )).
fof(d3_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ( r4_euclidlp(A,B,C) <=> ( B != k5_euclid(A) & C != k5_euclid(A) & r1_rvsum_1(B,C) ) ) ) ) ) )).
fof(d3_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) ) => ( v3_euclmetr(A) <=> v4_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(d3_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_exchsort(B,A) <=> A = k3_ordinal2(k9_xtuple_0(B)) ) ) )).
fof(d3_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v2_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k2_extpro_1(A,B,C,D) = D ) ) ) ) ) )).
fof(d3_facirc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_facirc_1(A) <=> ! [B] : ~ ( r2_tarski(B,k9_xtuple_0(A)) & v1_xtuple_0(k1_funct_1(A,B)) ) ) ) )).
fof(d3_fcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v2_fcont_1(A) <=> ? [B] : ( v1_xreal_0(B) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,k1_relset_1(k1_numbers,A)) & r2_hidden(D,k1_relset_1(k1_numbers,A)) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(A,C),k1_funct_1(A,D))),k3_xcmplx_0(B,k9_complex1(k6_xcmplx_0(C,D)))) ) ) ) ) ) ) )).
fof(d3_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v3_fdiff_1(A) <=> ( v1_partfun1(A,k1_numbers) & ? [B] : ( v1_xreal_0(B) & ! [C] : ( v1_xreal_0(C) => k1_funct_1(A,C) = k3_xcmplx_0(B,C) ) ) ) ) ) )).
fof(d3_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r3_fdiff_3(A,B) <=> ( ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & r1_tarski(k1_rcomp_1(B,k2_xcmplx_0(B,C)),k1_relset_1(k1_numbers,A)) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v9_ordinal1(C) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k10_xtuple_0(D) = k1_tarski(B) & r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D)),k1_relset_1(k1_numbers,A)) & ! [E] : ( v7_ordinal1(E) => ~ r1_xxreal_0(k1_funct_1(C,E),k5_numbers) ) ) => v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,C),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)))) ) ) ) ) ) ) ) )).
fof(d3_ff_siec,axiom,( ! [A] : k3_ff_siec(A) = k1_ff_siec(k1_xboole_0,A) )).
fof(d3_fib_fusc,axiom,( k3_fib_fusc = k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(k8_ami_3(8,k10_ami_3(1))),k5_afinsq_1(k2_ami_3(k10_ami_3(4),k10_ami_3(k5_numbers)))),k5_afinsq_1(k6_ami_3(k10_ami_3(1),k10_ami_3(4)))),k5_afinsq_1(k8_ami_3(6,k10_ami_3(4)))),k5_afinsq_1(k3_ami_3(k10_ami_3(3),k10_ami_3(2)))),k5_afinsq_1(k7_ami_3(k5_numbers))),k5_afinsq_1(k3_ami_3(k10_ami_3(2),k10_ami_3(3)))),k5_afinsq_1(k7_ami_3(k5_numbers))),k5_afinsq_1(k2_compos_1(k1_ami_3))) )).
fof(d3_fib_num2,axiom,( k3_fib_num2 = a_0_0_fib_num2 )).
fof(d3_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_filter_0(B,A) <=> ( B != u1_struct_0(A) & ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,C) => ( C = u1_struct_0(A) | B = C ) ) ) ) ) ) ) )).
fof(d3_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( m1_filter_1(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)))) ) => ( D = k2_filter_1(A,B,C) <=> ! [E] : ! [F] : ( ( r2_tarski(E,k8_eqrel_1(A,B)) & r2_tarski(F,E) ) => k1_funct_1(D,E) = k6_eqrel_1(A,A,B,k1_funct_1(C,F)) ) ) ) ) ) ) ) )).
fof(d3_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_lattice2(A))) => k2_filter_2(A,B) = B ) ) )).
fof(d3_fin_topo,axiom,( k4_fin_topo = g1_orders_2(k6_domain_1(k4_ordinal1,k5_numbers),k3_fin_topo(k5_numbers)) )).
fof(d3_finance1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k4_finance1(A,B,C) = k1_funct_1(k3_series_1(k3_finance1(B,C)),A) ) ) ) )).
fof(d3_finance2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( C = k4_finance2(A,B) <=> ( k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),C,k5_numbers) = k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),k3_finance2(A,B),k5_numbers) & ! [D] : ( v7_ordinal1(D) => k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),C,k1_nat_1(D,1)) = k1_finsub_1(k9_setfam_1(k1_numbers),k8_nat_1(k9_setfam_1(k1_numbers),C,D),k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),k3_finance2(A,B),k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(d3_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k3_finseq_1(A) <=> k2_finseq_1(B) = k9_xtuple_0(A) ) ) ) )).
fof(d3_finseq_2,axiom,( ! [A] : ! [B] : ( m1_finseq_2(B,A) <=> ! [C] : ( r2_hidden(C,B) => m2_finseq_1(C,A) ) ) )).
fof(d3_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)))) => ( C = k3_finseq_3(A,B) <=> ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m2_finseq_1(E,A) => ( r2_hidden(k4_tarski(D,E),C) <=> ( k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k1_relset_1(k4_ordinal1,D)) => r2_hidden(k4_tarski(k1_funct_1(D,F),k1_funct_1(E,F)),B) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_finseq_4(A,B) => ! [C] : ( C = k1_finseq_4(A,B) <=> ( r2_tarski(C,k9_xtuple_0(A)) & k1_funct_1(A,C) = B ) ) ) ) )).
fof(d3_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( B = k3_finseq_5(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_funct_1(A,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),C),1)) ) ) ) ) ) ) )).
fof(d3_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,C) => k2_finseq_6(A,B,C) = k16_finseq_1(k1_nat_1(k7_nat_d(C,B),1),k1_rfinseq(k7_nat_d(B,1),A)) ) & ( ~ r1_xxreal_0(B,C) => k2_finseq_6(A,B,C) = k3_finseq_5(k16_finseq_1(k1_nat_1(k7_nat_d(B,C),1),k1_rfinseq(k7_nat_d(C,1),A))) ) ) ) ) ) )).
fof(d3_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k4_finseq_8(A,B,C) = k8_finseq_1(A,B,k2_rfinseq(A,k3_finseq_1(k3_finseq_8(A,B,C)),C)) ) ) ) )).
fof(d3_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_setwiseo(B,A) & v2_binop_1(B,A) & v1_finseqop(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( C = k5_finseqop(A,B) <=> r1_finseqop(A,C,B) ) ) ) ) ) )).
fof(d3_finset_1,axiom,( ! [A] : ( v3_finset_1(A) <=> ( A != k1_xboole_0 & ! [B] : ~ ( B != k1_xboole_0 & r1_tarski(B,A) & v1_finset_1(B) & k1_setfam_1(B) = k1_xboole_0 ) ) ) )).
fof(d3_finsub_1,axiom,( ! [A] : ( v3_finsub_1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k6_subset_1(B,C),A) ) ) )).
fof(d3_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r2_tarski(C,k1_fin_topo(A,B)) => k3_fintopo2(A,B,C) = k7_margrel1 ) & ( ~ r2_tarski(C,k1_fin_topo(A,B)) => k3_fintopo2(A,B,C) = k6_margrel1 ) ) ) ) ) )).
fof(d3_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => k3_fintopo3(A,B,C) = k1_funct_1(k2_fintopo3(A,B),C) ) ) ) )).
fof(d3_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) => ( B = k1_fintopo4(A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k2_finseq_1(A)) => k9_relat_1(B,C) = k1_enumset1(C,k5_nat_1(k7_nat_d(C,1),1),k3_xxreal_0(k1_nat_1(C,1),A)) ) ) ) ) ) )).
fof(d3_fintopo5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k3_fintopo5(A,B) = g1_orders_2(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k2_fintopo5(A,B)) ) ) )).
fof(d3_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_orders_2(C) & m1_fintopo6(C,A) ) => ( C = k1_fintopo6(A,B) <=> k2_struct_0(C) = B ) ) ) ) )).
fof(d3_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => k8_flang_1(A,B) = k3_tarski(a_2_0_flang_1(A,B)) ) )).
fof(d3_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_fomodel0(B,A) <=> v2_fomodel0(B,k3_finseq_2(A),k11_monoid_0(A)) ) ) )).
fof(d3_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k3_fomodel1(A) = k8_relset_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers,u1_fomodel1(A),k6_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers))) ) )).
fof(d3_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( m3_fomodel2(C,A,B) <=> ! [D] : ( ( v9_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => m2_fomodel2(k1_funct_1(C,D),A,B,D) ) ) ) ) ) )).
fof(d3_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( ~ v7_fomodel1(B,A) => k3_fomodel3(A,B,C) = k2_partfun1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k2_fomodel3(A,B),k4_finseq_2(k1_int_2(k19_fomodel1(A,B)),k35_fomodel1(A))) ) & ( v7_fomodel1(B,A) => k3_fomodel3(A,B,C) = k3_relat_1(k2_partfun1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k2_fomodel3(A,B),k4_finseq_2(k1_int_2(k19_fomodel1(A,B)),k35_fomodel1(A))),k10_fomodel0(C,k32_fomodel1(A))) ) ) ) ) )).
fof(d3_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v2_fomodel4(B,A) <=> r1_tarski(B,k1_fomodel4(A)) ) ) )).
fof(d3_frechet,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_frechet(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r2_tarski(C,D) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & ~ r2_tarski(k1_funct_1(B,F),D) ) ) ) ) ) ) ) ) )).
fof(d3_frechet2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_frechet2(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v7_ordinal1(E) => ~ ( v3_pre_topc(D,A) & r2_tarski(C,D) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(E,F) & r2_tarski(k8_nat_1(u1_struct_0(A),B,F),D) ) ) ) ) ) ) ) ) ) )).
fof(d3_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(u1_unialg_1(A))) => k1_freealg(A,B) = k1_funct_1(u1_unialg_1(A),B) ) ) ) )).
fof(d3_friends1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_friends1(A) <=> ! [B] : ! [C] : ~ ( r2_hidden(B,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) & B != C & ! [D] : k3_xboole_0(k9_relat_1(A,B),k10_relat_1(A,C)) != k1_tarski(D) ) ) ) )).
fof(d3_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k3_fscirc_1(A,B,C) = k2_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C))),k5_circcomb(k2_twoscomp,k10_finseq_1(A,C))) )).
fof(d3_fscirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m2_subset_1(D,u1_struct_0(k1_fscirc_2(A,B,C)),k3_msafree2(k1_fscirc_2(A,B,C))) => ( D = k3_fscirc_2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & D = k1_funct_1(E,A) & k1_funct_1(E,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,k1_nat_1(F,1)) = k6_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),k1_funct_1(E,F)) ) ) ) ) ) ) ) )).
fof(d3_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_fsm_1(A,B,C,D,E) <=> k1_funct_1(k2_fsm_1(A,B,D,C),k1_nat_1(k3_finseq_1(C),1)) = E ) ) ) ) ) ) )).
fof(d3_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_fsm_3(C,A,B) ) => ! [D] : ( ( v1_fsm_3(D,A,k9_flang_1(A)) & l1_fsm_3(D,A,k9_flang_1(A)) ) => ( D = k2_fsm_3(A,B,C) <=> ( g1_rewrite3(k9_flang_1(A),u1_struct_0(D),u1_rewrite3(k9_flang_1(A),D)) = k1_fsm_3(A,B,g1_rewrite3(B,u1_struct_0(C),u1_rewrite3(B,C))) & u1_fsm_3(A,k9_flang_1(A),D) = k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(A,B,C,k2_flang_1(A),u1_fsm_3(A,B,C))) ) ) ) ) ) ) )).
fof(d3_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k3_ftacell1(A,B,C,D,E) = k9_gfacirc1(A,B,C) )).
fof(d3_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k3_funcop_1(A,B,C) = k3_relat_1(k13_funct_3(B,C),A) ) ) ) )).
fof(d3_funcsdom,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) => ( B = k7_funcsdom(A) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => k1_binop_1(B,C,D) = k5_funcop_1(k11_binop_2,C,D) ) ) ) ) )).
fof(d3_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k10_xtuple_0(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_hidden(D,k9_xtuple_0(A)) & C = k1_funct_1(A,D) ) ) ) ) )).
fof(d3_funct_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => ( v2_funct_2(B,A) <=> k2_relset_1(A,B) = A ) ) )).
fof(d3_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k4_funct_3(A,B) <=> ( k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ( ( r2_hidden(D,A) => k1_funct_1(C,D) = 1 ) & ( ~ r2_hidden(D,A) => k1_funct_1(C,D) = k5_ordinal1 ) ) ) ) ) ) )).
fof(d3_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_funct_4(A,B) <=> ( ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) <=> ? [E] : ? [F] : ? [G] : ? [H] : ( D = k4_tarski(k4_tarski(E,G),k4_tarski(F,H)) & r2_hidden(k4_tarski(E,F),k9_xtuple_0(A)) & r2_hidden(k4_tarski(G,H),k9_xtuple_0(B)) ) ) & ! [D] : ! [E] : ! [F] : ! [G] : ( ( r2_hidden(k4_tarski(D,E),k9_xtuple_0(A)) & r2_hidden(k4_tarski(F,G),k9_xtuple_0(B)) ) => k1_binop_1(C,k4_tarski(D,F),k4_tarski(E,G)) = k4_tarski(k1_binop_1(A,D,E),k1_binop_1(B,F,G)) ) ) ) ) ) ) )).
fof(d3_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k3_funct_5(A) = k1_funct_5(k2_funct_4(A)) ) )).
fof(d3_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k2_funct_6(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k10_xtuple_0(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d3_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( r2_hidden(B,k9_xtuple_0(A)) => k1_funct_7(A,B,C) = k1_funct_4(A,k17_funcop_1(B,C)) ) & ( ~ r2_hidden(B,k9_xtuple_0(A)) => k1_funct_7(A,B,C) = A ) ) ) )).
fof(d3_funct_8,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_8(C,A,B) <=> ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(D,k1_relset_1(A,C)) & r2_hidden(k4_xcmplx_0(D),k1_relset_1(A,C)) ) => k1_funct_1(C,k4_xcmplx_0(D)) = k1_funct_1(C,D) ) ) ) ) ) ) )).
fof(d3_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ( ( B != k1_xboole_0 => ( m1_functor0(F,A,B,C,D,E) <=> ? [G] : ( ~ v1_xboole_0(G) & ? [H] : ( v1_relat_1(H) & v4_relat_1(H,G) & v1_funct_1(H) & v1_partfun1(H,G) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,A,G) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,G))) & C = I & E = H & m2_pboole(F,A,D,k3_relat_1(I,H)) ) ) ) ) ) & ( B = k1_xboole_0 => ( m1_functor0(F,A,B,C,D,E) <=> r6_pboole(A,F,k1_pboole(A)) ) ) ) ) ) ) ) )).
fof(d3_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ! [D] : ( m1_functor2(D,A,B,C,C) => ( D = k1_functor2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = k8_altcat_1(B,k3_functor0(A,B,C,E)) ) ) ) ) ) ) )).
fof(d3_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ! [H] : ( m1_functor2(H,A,B,D,E) => ! [I] : ( m1_functor2(I,B,C,F,G) => k7_functor3(A,B,C,D,E,F,G,H,I) = k3_functor2(A,C,k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,E,F),k1_functor3(A,B,C,E,G),k5_functor3(A,B,C,D,E,H,F),k6_functor3(A,B,C,F,G,E,I)) ) ) ) ) ) ) ) ) ) )).
fof(d3_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => k1_fuznum_1(A,B,C) = a_3_0_fuznum_1(A,B,C) ) ) ) )).
fof(d3_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k1_fuzzy_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k1_numbers,D,E) = k3_xxreal_0(k3_funct_2(A,k1_numbers,B,E),k3_funct_2(A,k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d3_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k3_fuzzy_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k1_numbers,D,E) = k5_real_1(k3_real_1(k3_funct_2(A,k1_numbers,B,E),k3_funct_2(A,k1_numbers,C,E)),k4_real_1(k3_funct_2(A,k1_numbers,B,E),k3_funct_2(A,k1_numbers,C,E))) ) ) ) ) ) ) )).
fof(d3_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,C),k1_numbers))) ) => ( F = k3_fuzzy_4(A,B,C,D,E) <=> ! [G] : ! [H] : ( r2_hidden(k4_tarski(G,H),k2_zfmisc_1(A,C)) => k1_binop_1(F,G,H) = k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,G,H))) ) ) ) ) ) ) ) ) )).
fof(d3_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k3_fvsum_1(A,B,C) = k1_finseqop(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_algstr_0(A),B,C) ) ) ) )).
fof(d3_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k3_gate_5(A,B,C,D) = k35_gate_1(k2_gate_1(B,C),k2_gate_1(A,D),k1_xboole_0,k2_gate_1(B,D),k1_xboole_0) )).
fof(d3_gaussint,axiom,( k2_gaussint = k1_realset1(k3_binop_2,k1_gaussint) )).
fof(d3_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_gcd_1(A,B,C) <=> ( r1_gcd_1(A,B,C) & r1_gcd_1(A,C,B) ) ) ) ) ) )).
fof(d3_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_finseq_1(B,k3_card_3(A)) => ! [C] : ( m2_finseq_1(C,k3_card_3(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => k2_genealg1(A,B,C,D,E) = k1_genealg1(A,k1_genealg1(A,B,C,D),k1_genealg1(A,C,B,D),E) ) ) ) ) ) )).
fof(d3_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_geomtrap(A,B,C,D,E,F,G) <=> ( r1_analoaf(A,D,E,F,G) & r3_analmetr(A,D,E,k1_geomtrap(A,D,E),k1_geomtrap(A,F,G),B,C) & r3_analmetr(A,F,G,k1_geomtrap(A,D,E),k1_geomtrap(A,F,G),B,C) ) ) ) ) ) ) ) ) ) )).
fof(d3_gfacirc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k3_gfacirc1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k9_margrel1(B,k8_margrel1(C)) ) ) ) ) )).
fof(d3_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m2_subset_1(D,u1_struct_0(k1_gfacirc2(A,B,C)),k3_msafree2(k1_gfacirc2(A,B,C))) => ( D = k3_gfacirc2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & D = k1_funct_1(E,A) & k1_funct_1(E,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,k1_nat_1(F,1)) = k9_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),k1_funct_1(E,F)) ) ) ) ) ) ) ) )).
fof(d3_glib_000,axiom,( k3_glib_000 = 3 )).
fof(d3_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m2_finseq_1(B,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) => ( m3_glib_001(B,A) <=> ( ~ v1_abian(k3_finseq_1(B)) & r2_tarski(k1_funct_1(B,1),k6_glib_000(A)) & ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => r1_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,2)),k1_funct_1(B,k1_nat_1(C,1))) ) ) ) ) ) ) )).
fof(d3_glib_003,axiom,( k4_glib_003 = 7 )).
fof(d3_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ! [C] : ! [D] : ( v1_xreal_0(D) => ( ( ? [E] : ( v2_glib_001(E,A) & m3_glib_001(E,A) & r1_glib_001(A,B,C,E) ) => ( D = k1_glib_004(A,B,C) <=> ? [E] : ( v2_glib_001(E,A) & v5_glib_001(E,A) & m3_glib_001(E,A) & r2_glib_004(A,E,B,C) & D = k10_glib_003(A,E) ) ) ) & ( ! [E] : ( ( v2_glib_001(E,A) & m3_glib_001(E,A) ) => ~ r1_glib_001(A,B,C,E) ) => ( D = k1_glib_004(A,B,C) <=> D = k5_numbers ) ) ) ) ) )).
fof(d3_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : k1_glib_005(A,B,C,D) = k6_xcmplx_0(k2_uproots(k18_glib_000(A,k1_tarski(D)),k5_relat_1(B,k18_glib_000(A,k1_tarski(D)))),k2_uproots(k19_glib_000(A,k1_tarski(D)),k5_relat_1(B,k19_glib_000(A,k1_tarski(D))))) ) ) )).
fof(d3_goboard5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k3_goboard5(A,B,C) = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_goboard5(A,B),k2_goboard5(A,C)) ) ) ) )).
fof(d3_gobrd13,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( D = k2_gobrd13(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(B)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,F) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,G,H) & ~ ( E = G & k1_nat_1(F,1) = H & D = k3_goboard5(B,k7_nat_d(E,1),F) ) & ~ ( k1_nat_1(E,1) = G & F = H & D = k3_goboard5(B,E,F) ) & ~ ( E = k1_nat_1(G,1) & F = H & D = k3_goboard5(B,G,k7_nat_d(H,1)) ) & ~ ( E = G & F = k1_nat_1(H,1) & D = k3_goboard5(B,E,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => k1_goedcpuc(A) = k2_zfmisc_1(k4_ordinal1,k2_xboole_0(k1_qc_lang1(A),a_1_0_goedcpuc(A))) ) )).
fof(d3_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( B = k1_goedelcp(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) & ? [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) & C = k12_cqc_lang(A,D,E) ) ) ) ) ) ) )).
fof(d3_gr_cy_1,axiom,( k2_gr_cy_1 = g3_algstr_0(k4_numbers,k20_binop_2) )).
fof(d3_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_gr_cy_3(A) = k6_xcmplx_0(k1_newton(2,A),1) ) )).
fof(d3_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k3_graph_1(A,B) = k3_funct_2(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),B) ) ) )).
fof(d3_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_graph_2(A) <=> k4_card_1(k10_xtuple_0(A)) = 2 ) ) )).
fof(d3_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : k4_graph_3(A,B,C) = k4_subset_1(u4_struct_0(A),k2_graph_3(A,B,C),k3_graph_3(A,B,C)) ) ) )).
fof(d3_graph_3a,axiom,( k3_graph_3a = k5_enumset1(k4_tarski(10,k5_numbers),k4_tarski(20,k5_numbers),k4_tarski(30,k5_numbers),k4_tarski(40,1),k4_tarski(50,1),k4_tarski(60,2),k4_tarski(70,2)) )).
fof(d3_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : k1_graph_4(A,B) = a_2_0_graph_4(A,B) ) )).
fof(d3_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_graph_5(A,B,C,D) <=> ( B != k1_xboole_0 & k1_funct_1(u1_graph_1(A),k1_funct_1(B,1)) = C & k1_funct_1(u2_graph_1(A),k1_funct_1(B,k3_finseq_1(B))) = D ) ) ) ) ) ) )).
fof(d3_graphsp,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k3_finseq_2(k1_numbers)) => ! [B] : ( v7_ordinal1(B) => k7_graphsp(A,B) = a_2_0_graphsp(A,B) ) ) )).
fof(d3_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k3_grcat_1(A,B) = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),k1_grcat_1(A,B)) ) ) )).
fof(d3_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r1_groeb_1(A,B,C,D) <=> v9_rewrite1(k3_polyred(A,B,C,D)) ) ) ) ) ) )).
fof(d3_groeb_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r1_groeb_2(A,B,C) <=> ! [D] : ( k1_funct_1(B,D) = k5_numbers | k1_funct_1(C,D) = k5_numbers ) ) ) ) )).
fof(d3_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( v7_ordinal1(E) => k4_groeb_3(A,B,C,D,E) = k4_xboole_0(k3_polynom1(k15_pre_poly(A),C,D),k3_groeb_3(A,B,C,D,E)) ) ) ) ) ) )).
fof(d3_group_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( v3_group_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) ) ) )).
fof(d3_group_10,axiom,( ! [A] : ! [B] : k3_group_10(A,B) = a_2_0_group_10(A,B) )).
fof(d3_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => k3_group_11(A,B,C) = a_3_2_group_11(A,B,C) ) ) ) )).
fof(d3_group_12,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))) & v1_group_6(D,k1_group_7(A,B,C),k2_group_12(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))))) ) => ( D = k3_group_12(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k1_group_7(A,B,C))) => k3_funct_2(u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C)),D,E) = k1_funct_7(k1_group_1(k2_group_7(A,B)),C,E) ) ) ) ) ) ) )).
fof(d3_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_group_19(C,A,B) <=> v1_finset_1(k4_group_19(A,B,C)) ) ) ) )).
fof(d3_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_group_2(A,B,C) = k2_group_2(A,k6_domain_1(u1_struct_0(A),B),C) ) ) ) )).
fof(d3_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_group_3(A,B,C) = a_3_0_group_3(A,B,C) ) ) ) )).
fof(d3_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k4_group_4(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => k1_funct_1(D,E) = k5_group_1(A,k7_partfun1(u1_struct_0(A),C,E),k2_group_4(k7_partfun1(k4_numbers,B,E))) ) ) ) ) ) ) ) ) )).
fof(d3_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_group_5(A,B,C,D) = k2_group_5(A,k2_group_5(A,B,C),D) ) ) ) ) )).
fof(d3_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k15_group_2(A,B),k15_group_2(A,B)),k15_group_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k15_group_2(A,B),k15_group_2(A,B)),k15_group_2(A,B)))) ) => ( C = k4_group_6(A,B) <=> ! [D] : ( m1_subset_1(D,k15_group_2(A,B)) => ! [E] : ( m1_subset_1(E,k15_group_2(A,B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = F & E = G ) => k4_binop_1(k15_group_2(A,B),C,D,E) = k2_group_2(A,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d3_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( v2_group_7(B,A) <=> ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ( ( ~ v2_struct_0(D) & v2_group_1(D) & l3_algstr_0(D) ) => D != k1_funct_1(B,C) ) ) ) ) )).
fof(d3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( ( k3_finseq_1(D) = k5_numbers => ( E = k2_group_9(A,B,C,D) <=> r2_funct_2(B,B,E,k6_partfun1(B)) ) ) & ( k3_finseq_1(D) != k5_numbers => ( E = k2_group_9(A,B,C,D) <=> ? [F] : ( m2_finseq_1(F,k1_funct_2(B,B)) & E = k1_funct_1(F,k3_finseq_1(D)) & k3_finseq_1(F) = k3_finseq_1(D) & k1_funct_1(F,1) = k1_funct_1(C,k1_funct_1(D,1)) & ! [G] : ( v7_ordinal1(G) => ~ ( G != k5_numbers & ~ r1_xxreal_0(k3_finseq_1(D),G) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,B,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,B,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ~ ( H = k1_funct_1(F,G) & I = k1_funct_1(C,k1_funct_1(D,k1_nat_1(G,1))) & k1_funct_1(F,k1_nat_1(G,1)) = k1_partfun1(B,B,B,B,I,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_groupp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( v2_groupp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k5_group_1(B,k6_algstr_0(B,C,D),A) = k6_algstr_0(B,k5_group_1(B,C,A),k5_group_1(B,D,A)) ) ) ) ) ) )).
fof(d3_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_group_2(D,A) => k2_grsolv_1(A,B,C,D) = k10_group_6(D,B,k1_grsolv_1(A,B,C,D)) ) ) ) ) )).
fof(d3_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r3_gtarski1(A,B,C,D,E,F,G) <=> ( r2_gtarski1(A,B,C,E,F) & r2_gtarski1(A,B,D,E,G) & r2_gtarski1(A,C,D,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d3_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v3_hahnban(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_rlvect_1(A,C,D)) = k3_xcmplx_0(D,k3_funct_2(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) )).
fof(d3_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( E = k3_hahnban1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k1_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) ) ) ) ) ) ) ) )).
fof(d3_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( r1_hallmar1(A,B,C) <=> ? [D] : ( m2_finseq_1(D,A) & D = C & k4_finseq_1(B) = k4_finseq_1(D) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => r2_tarski(k1_funct_1(D,E),k1_funct_1(B,E)) ) ) & v2_funct_1(D) ) ) ) ) )).
fof(d3_hausdorf,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( v1_xreal_0(D) => ( D = k3_hausdorf(A,B,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) & B = E & C = F & D = k1_hausdorf(k14_euclid(A),E,F) ) ) ) ) ) ) ) )).
fof(d3_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ( E = k3_helly(A,B,C,D) <=> k9_subset_1(k6_glib_000(A),k9_subset_1(k6_glib_000(A),k13_glib_001(A,k2_helly(A,B,C)),k13_glib_001(A,k2_helly(A,C,D))),k13_glib_001(A,k2_helly(A,D,B))) = k1_tarski(E) ) ) ) ) ) ) )).
fof(d3_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(B,A,k1_complfld) & v1_hermitan(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => k2_hermitan(A,B) = k10_vectsp10(k1_complfld,A,k9_vectsp10(k1_complfld,A,k1_hermitan(A,B)),B) ) ) )).
fof(d3_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => k3_heyting1(A,B) = B ) )).
fof(d3_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => k3_heyting2(A,B,C,D) = k3_xboole_0(k4_partfun1(A,B),a_4_0_heyting2(A,B,C,D)) ) ) ) )).
fof(d3_heyting3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k4_partfun1(k4_ordinal1,k1_tarski(B))) => ( C = k3_heyting3(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(E,k1_nat_1(k3_xcmplx_0(2,A),1)) & k4_tarski(E,B) = D ) ) ) ) ) ) )).
fof(d3_hilbasis,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & v1_group_1(C) & l5_algstr_0(C) ) => k3_hilbasis(A,B,C) = k14_funct_7(k15_pre_poly(A),u1_struct_0(C),k8_polynom1(A,C),k2_hilbasis(A,B),k1_group_1(C)) ) ) )).
fof(d3_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k3_hilbert3(A,B) = k1_funct_1(k2_hilbert3(A),B) ) ) )).
fof(d3_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k3_hilbert4(A) = k6_subset_1(k1_relat_1(A),k10_xtuple_0(k1_hilbert4(k2_hilbert4(A)))) ) )).
fof(d3_huffman1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_huffman1(A) = a_1_0_huffman1(A) ) )).
fof(d3_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_hurwitz(A,B,C) = k1_funct_4(k9_polynom3(A),k5_funct_4(u1_struct_0(A),k5_numbers,C,k4_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C)),k1_group_1(A))) ) ) ) )).
fof(d3_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_hurwitz2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k4_algstr_0(A,C)) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) ) ) ) ) )).
fof(d3_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_idea_1(A,B) <=> ~ r1_xxreal_0(k5_series_1(2,A),B) ) ) ) )).
fof(d3_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_ideal_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k6_algstr_0(A,D,C),B) ) ) ) ) ) ) )).
fof(d3_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => k3_incproj(A) = g1_incsp_1(u1_struct_0(A),k1_incproj(A),k2_incproj(A)) ) )).
fof(d3_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u4_incsp_1(A)) => ( r3_incsp_1(A,B,C) <=> r2_tarski(k1_domain_1(u2_incsp_1(A),u4_incsp_1(A),B,C),u6_incsp_1(A)) ) ) ) ) )).
fof(d3_index_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_index_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) ) => ( B = k4_index_1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) ) => ( D = k1_funct_1(A,C) => k1_funct_1(B,C) = u4_struct_0(D) ) ) ) ) ) ) ) )).
fof(d3_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r3_pua2mss1(A,B,D,E) => ! [F] : ( ( v3_msualg_1(F,A) & l3_msualg_1(F,A) ) => ( F = k1_instalg1(A,B,C,D,E) <=> ( u3_msualg_1(A,F) = k3_relat_1(D,u3_msualg_1(B,C)) & u4_msualg_1(A,F) = k3_relat_1(E,u4_msualg_1(B,C)) ) ) ) ) ) ) ) ) ) )).
fof(d3_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) <=> ? [C] : ( v1_int_1(C) & B = k3_xcmplx_0(A,C) ) ) ) ) )).
fof(d3_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_2(A,B) <=> k3_int_2(A,B) = 1 ) ) ) )).
fof(d3_int_3,axiom,( k1_int_3 = g6_algstr_0(k4_numbers,k20_binop_2,k22_binop_2,k10_subset_1(1,k4_numbers),k10_subset_1(k5_numbers,k4_numbers)) )).
fof(d3_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( ( r1_int_5(A,B) => ( k5_int_1(A,B) = k5_numbers | k2_int_5(A,B) = 1 ) ) & ( ( r1_int_5(A,B) & k5_int_1(A,B) = k5_numbers ) => k2_int_5(A,B) = k5_numbers ) & ~ ( ~ ( r1_int_5(A,B) & k5_int_1(A,B) != k5_numbers ) & ~ ( r1_int_5(A,B) & k5_int_1(A,B) = k5_numbers ) & k2_int_5(A,B) != k4_xcmplx_0(1) ) ) ) ) )).
fof(d3_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k1_int_6(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k5_int_1(A,k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(d3_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => k2_int_7(A) = k1_realset1(k7_int_3(A),k1_int_7(A)) ) )).
fof(d3_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_int_8(A,B) <=> k3_pepin(A,B) = k1_euler_1(B) ) ) ) )).
fof(d3_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_integr10(A,B,C) => ! [D] : ( v1_xreal_0(D) => ( D = k1_integr10(A,B,C) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,E) = k3_rcomp_1(B,C) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k1_relset_1(k1_numbers,E)) => k1_funct_1(E,F) = k4_integra5(B,F,A) ) ) & r1_limfunc2(E,C) & D = k1_limfunc2(E,C) ) ) ) ) ) ) ) )).
fof(d3_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) => ( m2_integr15(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => m1_integr15(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),A,B,k2_integra2(A,C,E)) ) ) ) ) ) ) )).
fof(d3_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k2_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k2_numbers)))) ) => ( m2_integr16(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => m1_integr16(k8_finseq_2(k2_numbers,k3_finseq_2(k2_numbers),D,E),A,B,k2_integra2(A,C,E)) ) ) ) ) ) ) )).
fof(d3_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) ) => ( m2_integr18(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k4_ordinal1) => m1_integr18(k8_finseq_2(u1_struct_0(A),k3_finseq_2(u1_struct_0(A)),E,F),A,B,C,k2_integra2(B,D,F)) ) ) ) ) ) ) ) )).
fof(d3_integr1c,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( v1_integr1c(A) <=> ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_numbers)) & r1_xxreal_0(B,C) & k1_rcomp_1(B,C) = k1_relset_1(k1_numbers,A) & r1_tarski(k1_rcomp_1(B,C),k1_relset_1(k1_numbers,D)) & r1_tarski(k1_rcomp_1(B,C),k1_relset_1(k1_numbers,E)) & v3_rcomp_1(F) & r1_tarski(k1_rcomp_1(B,C),F) & r2_fdiff_1(D,F) & r2_fdiff_1(E,F) & v1_fcont_1(k2_fdiff_1(D,F)) & v1_fcont_1(k2_fdiff_1(E,F)) & r2_relset_1(k1_numbers,k2_numbers,A,k2_partfun1(k1_numbers,k2_numbers,k2_valued_1(k1_numbers,k1_numbers,k2_numbers,D,k25_valued_1(k1_numbers,k1_numbers,E,k7_complex1)),k1_rcomp_1(B,C))) ) ) ) ) ) ) ) )).
fof(d3_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( B = k1_integra1(A) <=> ! [C] : ( r2_tarski(C,B) <=> m1_integra1(C,A) ) ) ) )).
fof(d3_integra2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k4_integra2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k7_integra1(A,B,k2_integra2(A,C,E)) ) ) ) ) ) ) )).
fof(d3_integra5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => k3_integra5(A,B) = k1_rcomp_1(A,B) ) ) ) )).
fof(d3_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k2_integra9(A,B) = k3_square_1(k1_integra9(A,B,B)) ) ) )).
fof(d3_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => k3_interva1(A,B,C) = k3_setfam_1(B,C) ) ) ) )).
fof(d3_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k3_irrat_1(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k3_xcmplx_0(k4_newton(C,A),k2_power(A,k4_xcmplx_0(C))) ) ) ) ) )).
fof(d3_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v12_cat_1(C,A,B) <=> ( v2_funct_1(C) & k2_relset_1(u4_struct_0(B),C) = u4_struct_0(B) ) ) ) ) ) )).
fof(d3_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k4_isocat_2(A,B,C,D,E) = k1_partfun1(u1_struct_0(B),u4_struct_0(B),u4_struct_0(B),u4_struct_0(C),k7_isocat_1(B),k3_isocat_2(A,B,C,D,E)) ) ) ) ) ) )).
fof(d3_jgraph_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_jgraph_1(A,B,C) <=> ( k1_funct_1(B,1) = k1_funct_1(C,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(C,k3_finseq_1(C)) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_jgraph_1(A,B))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & ? [F] : ( v7_graph_1(F,k1_jgraph_1(A)) & v3_graph_2(F,k1_jgraph_1(A)) & m2_graph_1(F,k1_jgraph_1(A)) & ? [G] : ( m2_finseq_1(G,u1_struct_0(k1_jgraph_1(A))) & k15_finseq_1(D) = F & k15_finseq_1(E) = C & G = C & r3_graph_4(k1_jgraph_1(A),G,F) ) ) ) ) ) ) ) ) ) )).
fof(d3_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ( B = k3_jgraph_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,C) = k2_jgraph_4(A,C) ) ) ) ) )).
fof(d3_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k3_jgraph_6(A,B,C,D) = a_4_2_jgraph_6(A,B,C,D) ) ) ) ) )).
fof(d3_jordan,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) => ( A = k5_jordan <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers,A,B) = k6_xcmplx_0(k17_euclid(k1_jordan(k15_euclid(2),k15_euclid(2),B)),k17_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B))) ) ) ) )).
fof(d3_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k3_jordan11(A,B) <=> ( r1_xxreal_0(C,k1_matrix_0(k1_jordan8(A,B))) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k1_nat_1(k2_nat_1(k11_newton(2,k7_nat_d(B,k1_jordan11(A))),k7_nat_d(k2_jordan11(A),2)),2)) ) => r1_tarski(k3_goboard5(k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),D),k1_jordan2c(2,A)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k1_matrix_0(k1_jordan8(A,B))) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_nat_1(k2_nat_1(k11_newton(2,k7_nat_d(B,k1_jordan11(A))),k7_nat_d(k2_jordan11(A),2)),2)) ) => r1_tarski(k3_goboard5(k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),E),k1_jordan2c(2,A)) ) ) ) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) )).
fof(d3_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( r1_jordan18(A,B,C,D,E,F) <=> ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ~ ( r1_topreal1(k15_euclid(A),C,D,G) & r1_tarski(G,B) & r1_xboole_0(G,k2_tarski(E,F)) ) ) ) ) ) ) ) ) ) )).
fof(d3_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k3_jordan19(A) = k1_kurato_2(k15_euclid(2),k1_jordan19(A)) ) )).
fof(d3_jordan1h,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) <=> ? [C] : ( v7_ordinal1(C) & ~ r1_xxreal_0(k1_matrix_0(k1_jordan8(A,B)),C) & r1_tarski(k3_goboard5(k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),C),k1_jordan2c(2,A)) ) ) ) ) )).
fof(d3_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ( r3_jordan20(A,B,C,D,E) <=> ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & k17_euclid(D) = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & ~ r1_xxreal_0(E,k17_euclid(F)) & r1_jordan5c(A,B,C,D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan5c(A,B,C,G,F) & r1_jordan5c(A,B,C,D,G) ) => r1_xxreal_0(k17_euclid(G),E) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k2_jordan21(A) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),2),k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),A,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),2)))))) ) )).
fof(d3_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( k3_finseq_1(A) != 2 => ( v3_jordan23(A) <=> ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(A),B) & k1_funct_1(A,B) = k1_funct_1(A,k1_nat_1(B,1)) ) ) ) ) & ( k3_finseq_1(A) = 2 => v3_jordan23(A) ) ) ) )).
fof(d3_jordan24,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ( B = k1_jordan24(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,C) = k19_euclid(k3_complex1(k2_complex2(k2_xcmplx_0(k17_euclid(C),k3_xcmplx_0(k18_euclid(C),k1_xcmplx_0)),A)),k4_complex1(k2_complex2(k2_xcmplx_0(k17_euclid(C),k3_xcmplx_0(k18_euclid(C),k1_xcmplx_0)),A))) ) ) ) ) )).
fof(d3_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r2_jordan2c(A,B,C) <=> ( r3_connsp_1(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B),C) & ~ v9_rltopsp1(C,k15_euclid(A)) ) ) ) ) ) )).
fof(d3_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( B != k1_funct_1(A,k1_nat_1(k1_jordan3(A,B),1)) => k2_jordan3(A,B) = k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),B),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,B),1),k3_finseq_1(A))) ) & ( B = k1_funct_1(A,k1_nat_1(k1_jordan3(A,B),1)) => k2_jordan3(A,B) = k3_finseq_6(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,B),1),k3_finseq_1(A)) ) ) ) ) )).
fof(d3_jordan4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_jordan4(A,B,C,D) <=> ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(A,D) & r1_xxreal_0(1,k3_finseq_1(B)) & ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_funct_1(B,E) = k1_funct_1(A,k1_jordan4(k7_nat_d(k2_xcmplx_0(k3_finseq_1(A),C),E),A)) ) ) ) ) ) ) ) ) )).
fof(d3_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r1_jordan5c(A,B,C,D,E) <=> ( r2_tarski(D,A) & r2_tarski(E,A) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = B & k1_funct_1(F,1) = C & k1_funct_1(F,G) = D & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) & k1_funct_1(F,H) = E & r1_xxreal_0(k5_numbers,H) & r1_xxreal_0(H,1) ) => r1_xxreal_0(G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k3_jordan5d(A) <=> ( r2_hidden(k4_tarski(k3_finseq_1(k2_goboard2(A)),B),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),B) = k23_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d3_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => k3_jordan6(A,B,C,D) = a_4_0_jordan6(A,B,C,D) ) ) ) ) )).
fof(d3_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( m1_jordan_a(B,A) <=> ( k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) = k18_pscomp_1(A) & v2_funct_1(B) & r1_xxreal_0(8,k3_finseq_1(B)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),A) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(B),C) | r1_jordan6(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1))) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(B),k1_nat_1(C,1)) | k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,2)))) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1))) ) ) ) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k7_partfun1(u1_struct_0(k15_euclid(2)),B,2))) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,k7_nat_d(k3_finseq_1(B),1)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) & r1_xboole_0(k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,k7_nat_d(k3_finseq_1(B),1)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k7_partfun1(u1_struct_0(k15_euclid(2)),B,2))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(D,C) | r1_xxreal_0(k3_finseq_1(B),D) | r1_gobrd10(C,D) | r1_xboole_0(k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(D,1)))) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(B),k1_nat_1(C,1)) & ~ r1_xboole_0(k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1)))) ) ) ) ) ) ) )).
fof(d3_knaster,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v6_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => k2_knaster(A,B) = k3_tarski(a_2_1_knaster(A,B)) ) )).
fof(d3_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( r1_kolmog01(A,B,C,D,E) <=> ! [F] : ( ( v2_funct_1(F) & m2_finseq_1(F,D) ) => ( F != k1_xboole_0 => k21_rvsum_1(k4_finseqop(D,k1_numbers,F,k1_partfun1(D,B,B,k1_numbers,E,C))) = k1_funct_1(C,k1_setfam_1(k2_relset_1(B,k4_finseqop(D,B,F,E)))) ) ) ) ) ) ) ) )).
fof(d3_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v2_prob_1(B) <=> ! [C] : ( v7_ordinal1(C) => r1_tarski(k3_funct_2(k4_ordinal1,k9_setfam_1(A),B,k1_nat_1(C,1)),k1_funct_1(B,C)) ) ) ) )).
fof(d3_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_kurato_1(A,B) = k4_enumset1(k2_pre_topc(A,B),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))))) ) ) )).
fof(d3_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( B = k2_lagra4sq(A) <=> ( k3_finseq_1(B) = A & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_pepin(k6_xcmplx_0(C,1)) ) ) ) ) ) ) )).
fof(d3_lang1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => k2_lang1(A) = a_1_1_lang1(A) ) )).
fof(d3_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(B,1))) => ( r2_tarski(A,k2_finseq_1(k1_nat_1(B,1))) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(B)) => ( D = k4_laplace(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(B)) => ( ( ~ r1_xxreal_0(A,E) => ( ( ~ r1_xxreal_0(k1_funct_1(C,A),k1_funct_1(C,E)) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ( r1_xxreal_0(k1_funct_1(C,A),k1_funct_1(C,E)) => k1_funct_1(D,E) = k6_xcmplx_0(k1_funct_1(C,E),1) ) ) ) & ( r1_xxreal_0(A,E) => ( ( ~ r1_xxreal_0(k1_funct_1(C,A),k1_funct_1(C,k1_nat_1(E,1))) => k1_funct_1(D,E) = k1_funct_1(C,k1_nat_1(E,1)) ) & ( r1_xxreal_0(k1_funct_1(C,A),k1_funct_1(C,k1_nat_1(E,1))) => k1_funct_1(D,E) = k6_xcmplx_0(k1_funct_1(C,k1_nat_1(E,1)),1) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))))) ) => ( D = k3_latsubgr(A,B,C) <=> ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( F = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E)) => k1_funct_1(D,E) = k5_group_4(B,F) ) ) ) ) ) ) ) ) )).
fof(d3_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v3_lattad_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,k1_lattices(A,B,C),B) = B ) ) ) ) )).
fof(d3_lattice2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_lattice2(A,B,C,D) = k7_setwiseo(A,u1_struct_0(B),u2_lattices(B),C,D) ) ) ) ) )).
fof(d3_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_lattice3(A,B) = B ) ) )).
fof(d3_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,A,B) => ( r1_lattice4(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_filter_0(A,D,E)) = k4_filter_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(d3_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ! [D] : ! [E] : ( v1_relat_1(E) => ! [F] : ( v1_relat_1(F) => ( r1_lattice5(A,B,C,D,E,F) <=> ( k1_funct_1(B,1) = C & k1_funct_1(B,k3_finseq_1(B)) = D & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(k3_finseq_1(B),G) | ( ( ~ v1_abian(G) => r2_hidden(k4_tarski(k1_funct_1(B,G),k1_funct_1(B,k1_nat_1(G,1))),E) ) & ( v1_abian(G) => r2_hidden(k4_tarski(k1_funct_1(B,G),k1_funct_1(B,k1_nat_1(G,1))),F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_lattice6(A) <=> v1_wellfnd1(k3_lattice3(A)) ) ) )).
fof(d3_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k1_lattice7(A,B) <=> ( ? [D] : ( m1_lattice7(D,A,k3_yellow_0(A),B) & C = k4_card_1(D) ) & ! [D] : ( m1_lattice7(D,A,k3_yellow_0(A),B) => r1_xxreal_0(k4_card_1(D),C) ) ) ) ) ) ) )).
fof(d3_lattice8,axiom,( ! [A] : k1_lattice8(A) = k2_xboole_0(A,k2_tarski(k1_tarski(A),k1_tarski(k1_tarski(A)))) )).
fof(d3_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,B,C) <=> k1_lattices(A,B,C) = C ) ) ) ) )).
fof(d3_lfuzzy_0,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( ( v1_orders_2(B) & v1_lfuzzy_0(B) & l1_orders_2(B) ) => ( B = k1_lfuzzy_0(A) <=> u1_struct_0(B) = A ) ) ) )).
fof(d3_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v1_lfuzzy_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => k8_lfuzzy_0(A,A,B,C,C) = 1 ) ) ) ) )).
fof(d3_limfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_limfunc1(A) = k4_xxreal_1(A,k1_xxreal_0) ) )).
fof(d3_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r3_limfunc2(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,C) & ~ r1_xxreal_0(B,D) & r2_hidden(D,k1_relset_1(k1_numbers,A)) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(C) & k1_seq_2(C) = B & r1_tarski(k2_relset_1(k1_numbers,C),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) => v2_limfunc1(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d3_limfunc3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r3_limfunc3(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,C) & ~ r1_xxreal_0(D,B) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(B,E) & r2_hidden(E,k9_xtuple_0(A)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,B) & r2_hidden(F,k9_xtuple_0(A)) ) ) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(C) & k1_seq_2(C) = B & r1_tarski(k10_xtuple_0(C),k6_subset_1(k9_xtuple_0(A),k1_tarski(B))) ) => v2_limfunc1(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d3_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => k2_lmod_6(A,B,C,D) = D ) ) ) ) )).
fof(d3_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => k4_lopban_1(A,B) = k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) ) )).
fof(d3_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [C] : ( v1_xreal_0(C) => k4_lopban_2(A,B,C) = k1_binop_1(k6_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),C,B) ) ) ) )).
fof(d3_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_lopban_3(B,A) <=> v1_series_1(k5_normsp_0(A,B)) ) ) ) )).
fof(d3_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k2_lopban_4(A) <=> ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,A) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k2_newton(A),k3_xcmplx_0(k2_newton(C),k2_newton(k7_nat_d(A,C)))) ) & ( ~ r1_xxreal_0(C,A) => k8_nat_1(k1_numbers,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d3_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))) ) => ( B = k5_lopclset(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) => k4_binop_1(k1_lopclset(A),B,C,D) = k3_lopclset(A,C,D) ) ) ) ) ) )).
fof(d3_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_lp_space(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_lp_space(A),k1_numbers))) ) => ( B = k3_lp_space(A) <=> ! [C] : ( r2_hidden(C,k2_lp_space(A)) => k1_funct_1(B,C) = k2_power(k4_series_1(k1_lp_space(k2_rsspace(C),A)),k7_xcmplx_0(1,A)) ) ) ) ) )).
fof(d3_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)))) ) => ( B = k7_lpspacc1(A) <=> ! [C] : ( m2_rfunct_3(C,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => r2_relset_1(A,k2_numbers,k2_lpspace1(A,k2_numbers,B,C,D),k3_lpspacc1(A,k2_numbers,C,D)) ) ) ) ) ) )).
fof(d3_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)))) ) => ( B = k3_lpspace1(A) <=> ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,B,C,D),k7_rfunct_3(A,k1_numbers,C,D)) ) ) ) ) ) )).
fof(d3_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => k2_lpspace2(A,B,C,D) = g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D))) ) ) ) ) )).
fof(d3_ltlaxio1,axiom,( k3_ltlaxio1 = k1_ltlaxio1(k2_hilbert1) )).
fof(d3_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m2_finseq_1(C,k1_hilbert1) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( C = k3_ltlaxio2(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & k1_funct_1(C,1) = k3_hilbert1(k6_ltlaxio1(k7_partfun1(k1_hilbert1,A,1)),B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(A),D) | k1_funct_1(C,k1_nat_1(D,1)) = k3_hilbert1(k6_ltlaxio1(k7_partfun1(k1_hilbert1,A,k1_nat_1(D,1))),k7_partfun1(k1_hilbert1,C,D)) ) ) ) ) ) ) & ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( C = k3_ltlaxio2(A,B) <=> C = k6_finseq_1(k1_hilbert1) ) ) ) ) ) ) )).
fof(d3_ltlaxio3,axiom,( ! [A] : ! [B] : ( ( v2_funct_1(B) & m2_finseq_1(B,A) ) => ! [C] : ( ( v2_funct_1(C) & m2_finseq_1(C,A) ) => ( r1_xboole_0(k2_relset_1(A,B),k2_relset_1(A,C)) => k3_ltlaxio3(A,B,C) = k8_finseq_1(A,B,C) ) ) ) )).
fof(d3_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => k3_ltlaxio4(A) = a_1_0_ltlaxio4(A) ) )).
fof(d3_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A,B,C) = a_3_1_mathmorp(A,B,C) ) ) ) )).
fof(d3_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,B,C) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( m2_finseq_1(F,D) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,D,B,C) & m2_finseq_1(G,k3_finseq_2(D)) ) => ( ( k3_finseq_1(F) = k1_matrix_0(E) => ( G = k3_matrix11(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = k3_finseq_1(E) & k1_matrix_0(G) = k1_matrix_0(E) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( r2_hidden(k4_tarski(H,I),k2_matrix_0(E)) => ( ( H != A => k3_matrix_0(D,G,H,I) = k3_matrix_0(D,E,H,I) ) & ( H = A => k3_matrix_0(D,G,A,I) = k1_funct_1(F,I) ) ) ) ) ) ) ) ) & ( k3_finseq_1(F) != k1_matrix_0(E) => ( G = k3_matrix11(A,B,C,D,E,F) <=> G = E ) ) ) ) ) ) ) ) ) ) )).
fof(d3_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_tarski(F,k4_finseq_1(D)) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(C),A,B) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(C))) ) => ( H = k3_matrix12(A,B,C,D,E,F,G) <=> ( k3_finseq_1(H) = k3_finseq_1(D) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(I,k4_finseq_1(D)) & r2_tarski(J,k2_finseq_1(k1_matrix_0(D))) ) => ( ( I = E => k3_matrix_0(u1_struct_0(C),H,I,J) = k1_algstr_0(C,k8_group_1(C,G,k3_matrix_0(u1_struct_0(C),D,F,J)),k3_matrix_0(u1_struct_0(C),D,E,J)) ) & ( I != E => k3_matrix_0(u1_struct_0(C),H,I,J) = k3_matrix_0(u1_struct_0(C),D,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( k4_card_1(C) = k4_card_1(D) => k7_matrix13(A,B,C,D) = k6_matrix13(A,B,C,D) ) ) ) ) ) )).
fof(d3_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v7_ordinal1(C) => k4_matrix14(A,B,C) = k2_finseq_7(k3_finseq_2(u1_struct_0(A)),k3_matrix_1(A,B),1,C) ) ) ) )).
fof(d3_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => k4_matrix15(A,B,C) = a_3_0_matrix15(A,B,C) ) ) ) )).
fof(d3_matrix16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v2_matrix16(B,A) <=> ? [C] : ( v1_matrix_0(C) & v2_matrix_0(C,A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(C,k3_finseq_2(A)) & r1_matrix16(A,C,B) ) ) ) ) )).
fof(d3_matrix_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_matrix_0(A) ) => ! [B] : ( v7_ordinal1(B) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( B = k1_matrix_0(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & r2_tarski(C,k10_xtuple_0(A)) & k3_finseq_1(C) = B ) ) ) & ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( B = k1_matrix_0(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d3_matrix_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( C = k3_matrix_1(A,B) <=> ( ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(D,D),k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(A),C,D,D) = k5_struct_0(A) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => ( D = E | k3_matrix_0(u1_struct_0(A),C,D,E) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(d3_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( D = k3_matrix_3(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & k1_matrix_0(D) = k1_matrix_0(B) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(B)) => k3_matrix_0(u1_struct_0(A),D,E,F) = k3_rlvect_1(A,k3_matrix_0(u1_struct_0(A),B,E,F),k3_matrix_0(u1_struct_0(A),C,E,F)) ) ) ) ) ) ) ) ) ) )).
fof(d3_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => k3_matrix_5(A,B) = k2_matrix_5(k3_matrix_3(k1_complfld,k1_matrix_5(A),k1_matrix_5(B))) ) ) )).
fof(d3_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_6(C,A,B) <=> ? [D] : ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) & r2_matrix_6(A,B,C,D) ) ) ) ) ) )).
fof(d3_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrixj1(B,A) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( C = k8_matrixj1(A,B) <=> ( k4_finseq_1(C) = k4_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k3_finseq_1(k2_matrixj1(A,B,D)) ) ) ) ) ) ) ) )).
fof(d3_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_matrixj2(C,A) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( m1_matrixj2(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => k14_matrixj1(u1_struct_0(A),C,D) != k2_matrixj2(A,B,E) ) ) ) ) ) ) ) )).
fof(d3_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k3_matrixr1(A,B) = k2_matrixr1(k3_matrix_3(k2_vectsp_1,k1_matrixr1(A),k1_matrixr1(B))) ) ) )).
fof(d3_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => k5_matrixr2(A) = k8_matrixr1(A,A) ) )).
fof(d3_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( F = k3_matrlin(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),F,G) = k1_algstr_0(C,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,G),k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,G)) ) ) ) ) ) ) ) ) )).
fof(d3_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_matrlin(D,A,B) => ! [E] : ( m2_finseq_1(E,u1_struct_0(C)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(E)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( G = k4_matrlin2(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),G,H) = k4_rlvect_1(C,k5_matrlin(A,C,k7_matrix_0(u1_struct_0(A),k4_matrix_3(A,k2_matrix15(u1_struct_0(A),k9_matrlin(A,B,D,H)),F),1),E)) ) ) ) ) ) ) ) ) ) )).
fof(d3_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_matroid0(A) <=> v1_classes1(k1_matroid0(A)) ) ) )).
fof(d3_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => k5_matrprob(A) = k18_rvsum_1(k3_matrprob(A)) ) )).
fof(d3_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(D,A) ) => ( r1_xxreal_0(D,C) | ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,A) & v1_matrix_6(E,A,k2_vectsp_1) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( E = k2_matrtop3(A,B,C,D) <=> ( k3_matrix_0(u1_struct_0(k2_vectsp_1),E,C,C) = k19_sin_cos(B) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,D,D) = k19_sin_cos(B) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,C,D) = k17_sin_cos(B) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,D,C) = k4_xcmplx_0(k17_sin_cos(B)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( r2_hidden(k4_tarski(F,G),k2_matrix_0(E)) => ( ( F = G => ( F = C | F = D | k3_matrix_0(u1_struct_0(k2_vectsp_1),E,F,F) = k5_struct_0(k2_vectsp_1) ) ) & ~ ( F != G & k4_matrix13(F,G) != k4_matrix13(C,D) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,F,G) != k4_struct_0(k2_vectsp_1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_mazurulm(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_rlvect_1(A,k1_algstr_0(A,D,E),k6_xxreal_3(1,2))) = k1_rlvect_1(B,k1_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)),k6_xxreal_3(1,2)) ) ) ) ) ) ) )).
fof(d3_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v2_measure1(C,A,B) <=> ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( r1_xboole_0(D,E) => k12_supinf_2(C,k1_finsub_1(B,D,E)) = k3_supinf_2(k12_supinf_2(C,D),k12_supinf_2(C,E)) ) ) ) ) ) ) )).
fof(d3_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( D = k2_measure3(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( r2_tarski(F,B) & ? [G] : ( m1_measure3(G,A,B,C) & E = k2_xboole_0(F,G) ) ) ) ) ) ) ) )).
fof(d3_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_measure4(A,B),k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A,B),k6_numbers))) ) => ( C = k3_measure4(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r2_tarski(D,k1_measure4(A,B)) => k12_supinf_2(C,D) = k12_supinf_2(B,D) ) ) ) ) ) )).
fof(d3_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v2_measure5(A) <=> ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & A = k1_rcomp_1(B,C) ) ) ) ) )).
fof(d3_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_setfam_1(B),k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(A)))) ) => ( D = k2_measure6(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => k3_funct_2(k1_zfmisc_1(B),k9_setfam_1(A),D,E) = k8_relset_1(A,B,C,E) ) ) ) ) )).
fof(d3_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))))) ) => ( m2_measure7(B,A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => m1_measure7(k8_nat_1(k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers)),B,C),k8_nat_1(k9_setfam_1(k1_numbers),A,C)) ) ) ) ) )).
fof(d3_measure8,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v2_finsub_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m2_measure8(D,A,C) => ( m3_measure8(D,A,B,C) <=> r1_tarski(B,k5_setfam_1(A,k2_relset_1(k9_setfam_1(A),D))) ) ) ) ) )).
fof(d3_member_1,axiom,( ! [A] : ( v2_membered(A) => k6_member_1(A) = a_1_2_member_1(A) ) )).
fof(d3_membered,axiom,( ! [A] : ( v3_membered(A) <=> ! [B] : ( r2_hidden(B,A) => v1_xreal_0(B) ) ) )).
fof(d3_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r2_mesfun6c(A,B,C,D) => ! [E] : ( v1_xcmplx_0(E) => ( E = k1_mesfun6c(A,B,C,D) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & F = k1_mesfunc6(A,B,C,k5_comseq_3(A,D)) & G = k1_mesfunc6(A,B,C,k6_comseq_3(A,D)) & E = k2_xcmplx_0(F,k3_xcmplx_0(G,k7_complex1)) ) ) ) ) ) ) ) ) ) )).
fof(d3_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k3_mesfun7c(A,B) = k2_mesfunc8(A,k1_mesfun7c(A,B)) ) ) )).
fof(d3_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( C = k3_mesfun9c(A,B) <=> ( r2_relset_1(A,k2_numbers,k4_mesfunc5(A,k2_numbers,C,k5_numbers),k4_mesfunc5(A,k2_numbers,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k2_numbers,k4_mesfunc5(A,k2_numbers,C,k1_nat_1(D,1)),k2_valued_1(A,k2_numbers,k2_numbers,k4_mesfunc5(A,k2_numbers,C,D),k4_mesfunc5(A,k2_numbers,B,k1_nat_1(D,1)))) ) ) ) ) ) ) )).
fof(d3_mesfunc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( D = k3_mesfunc1(A,B,C) <=> ( k9_xtuple_0(D) = k6_subset_1(k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)),k2_xboole_0(k3_xboole_0(k8_relat_1(B,k1_tarski(k2_supinf_1)),k8_relat_1(C,k1_tarski(k1_supinf_1))),k3_xboole_0(k8_relat_1(B,k1_tarski(k1_supinf_1)),k8_relat_1(C,k1_tarski(k2_supinf_1))))) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k9_xtuple_0(D)) => k12_supinf_2(D,E) = k3_supinf_2(k12_supinf_2(B,E),k12_supinf_2(C,E)) ) ) ) ) ) ) ) ) )).
fof(d3_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k2_mesfunc2(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,B) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k12_supinf_2(C,D) = k5_extreal1(k2_supinf_2(k12_supinf_2(B,D)),k1_supinf_2) ) ) ) ) ) ) ) )).
fof(d3_mesfunc5,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_mesfunc5(A) <=> ~ r2_tarski(k2_supinf_1,k10_xtuple_0(A)) ) ) )).
fof(d3_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_mesfunc6(A,B,C,D) = k7_mesfunc5(A,B,C,k1_mesfunc5(A,D)) ) ) ) ) )).
fof(d3_mesfunc7,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( v7_ordinal1(B) => k3_mesfunc7(A,B) = k2_mesfunc7(k5_finseq_2(k6_numbers,B,A)) ) ) )).
fof(d3_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k1_mesfunc8(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k12_supinf_2(C,D) = k2_rinfsup2(k3_mesfunc5(A,B,D)) ) ) ) ) ) ) ) )).
fof(d3_mesfunc9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => k2_mesfunc9(A) = k2_mesfunc5(k1_mesfunc9(A)) ) )).
fof(d3_metric_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v3_metric_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( k1_binop_1(B,C,D) = k5_numbers => C = D ) ) ) ) ) )).
fof(d3_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_metric_2(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B = k1_metric_2(A,C) ) ) ) ) )).
fof(d3_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tbsp_1(B,A) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ~ r1_xxreal_0(C,k5_numbers) & r1_tarski(B,k8_metric_1(A,D,C)) ) ) ) ) ) )).
fof(d3_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_metrizts(A,B,C,D) <=> ? [E] : ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ? [F] : ( v3_pre_topc(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(B,E) & r1_tarski(C,F) & r1_xboole_0(E,F) & D = k3_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),E,F)) ) ) ) ) ) ) ) )).
fof(d3_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k1_mfold_0(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> ? [D] : ( m1_connsp_2(D,A,C) & ? [E] : ( v7_ordinal1(E) & r2_borsuk_3(k1_pre_topc(A,D),k1_mfold_1(E,k4_struct_0(k15_euclid(E)),1)) ) ) ) ) ) ) ) )).
fof(d3_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => k2_mfold_1(A) = k1_mfold_1(A,k4_struct_0(k15_euclid(A)),1) ) )).
fof(d3_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k3_mfold_2(A,B,C) = k1_pre_topc(k15_euclid(A),k2_mfold_2(A,B,C)) ) ) ) )).
fof(d3_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) ) => ( v2_midsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k1_midsp_1(A,B,B) = B & k1_midsp_1(A,B,C) = k1_midsp_1(A,C,B) & k1_midsp_1(A,k1_midsp_1(A,B,C),k1_midsp_1(A,D,E)) = k1_midsp_1(A,k1_midsp_1(A,B,D),k1_midsp_1(A,C,E)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k1_midsp_1(A,F,B) = C ) ) ) ) ) ) ) ) )).
fof(d3_midsp_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( r1_midsp_2(A,B,C) <=> ( ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m1_subset_1(F,A) & k2_binop_1(A,A,u1_struct_0(B),C,D,F) = E ) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( k2_binop_1(A,A,u1_struct_0(B),C,D,E) = k2_binop_1(A,A,u1_struct_0(B),C,D,F) => E = F ) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k1_algstr_0(B,k2_binop_1(A,A,u1_struct_0(B),C,D,E),k2_binop_1(A,A,u1_struct_0(B),C,E,F)) = k2_binop_1(A,A,u1_struct_0(B),C,D,F) ) ) ) ) ) ) ) ) )).
fof(d3_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ( v2_midsp_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ( ! [G] : ( m1_midsp_3(G,A) => k3_midsp_1(B,C,k5_midsp_3(A,u1_struct_0(B),F,G)) = k3_midsp_1(B,D,k5_midsp_3(A,u1_struct_0(B),E,G)) ) => k3_midsp_1(B,C,k4_midsp_3(A,B,D,F)) = k3_midsp_1(B,D,k4_midsp_3(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(d3_mmlquer2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k1_mmlquer2(A,B) = k2_xboole_0(A,k6_subset_1(B,k2_relat_1(A))) ) ) )).
fof(d3_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k3_mmlquery(A,B,C) = k1_setfam_1(a_3_0_mmlquery(A,B,C)) ) ) )).
fof(d3_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( l1_mod_2(B,A) => k2_mod_2(A,B) = u1_mod_2(A,B) ) ) )).
fof(d3_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)))) ) => k4_mod_4(A,B,C) = k1_mod_4(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),C) ) ) ) )).
fof(d3_modal_1,axiom,( k3_modal_1 = k2_zfmisc_1(k6_domain_1(k4_ordinal1,3),k4_ordinal1) )).
fof(d3_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m3_modcat_1(D,A) => ( m5_modcat_1(D,A,B,C) <=> ! [E] : ( m4_modcat_1(E,A,D) => ( v2_mod_2(E,A) & m1_mod_2(E,A,B,C) ) ) ) ) ) ) ) )).
fof(d3_modelc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( r2_tarski(B,k9_xtuple_0(A)) => k3_modelc_1(A,B,C) = k1_funct_1(A,B) ) & ( ~ r2_tarski(B,k9_xtuple_0(A)) => k3_modelc_1(A,B,C) = C ) ) ) )).
fof(d3_modelc_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => k3_modelc_2(A) = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,k5_numbers),A) ) )).
fof(d3_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v4_modelc_2(A) => k4_modelc_3(A) = k1_xboole_0 ) & ( v5_modelc_2(A) => k4_modelc_3(A) = k1_xboole_0 ) & ( v6_modelc_2(A) => k4_modelc_3(A) = k1_tarski(k10_modelc_2(A)) ) & ( v7_modelc_2(A) => k4_modelc_3(A) = k1_tarski(A) ) & ( v8_modelc_2(A) => k4_modelc_3(A) = k1_tarski(A) ) & ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v6_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) & k4_modelc_3(A) != k1_xboole_0 ) ) ) )).
fof(d3_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( ( v1_moebius1(A) => ( B = k2_moebius1(A) <=> B = k5_numbers ) ) & ( ~ v1_moebius1(A) => ( B = k2_moebius1(A) <=> ? [C] : ( v7_ordinal1(C) & ~ v8_ordinal1(C) & C = A & B = k1_newton(k4_xcmplx_0(1),k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(C)))) ) ) ) ) ) ) )).
fof(d3_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) ) => ( B = k3_moebius2(A) <=> ( k13_pre_poly(B) = k22_pre_poly(k8_newton,k12_nat_3(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k22_pre_poly(k8_newton,k12_nat_3(A))) => k1_funct_1(B,C) = k1_newton(C,k3_nat_d(k11_nat_3(A,C),2)) ) ) ) ) ) ) )).
fof(d3_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v3_monoid_0(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & k4_binop_1(A,B,E,C) = D ) ) ) ) ) ) )).
fof(d3_monoid_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_1(A) => k9_monoid_1(A,B) = g4_algstr_0(k9_funct_2(B,u1_struct_0(A)),k8_monoid_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A),B),k5_monoid_1(u1_struct_0(A),B,k3_binop_1(u1_struct_0(A),u2_algstr_0(A)))) ) & ( ~ v1_group_1(A) => k9_monoid_1(A,B) = g3_algstr_0(k9_funct_2(B,u1_struct_0(A)),k8_monoid_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A),B)) ) ) ) )).
fof(d3_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) => ( C = k4_morph_01(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)),C,D) = k1_morph_01(A,D,B) ) ) ) ) ) )).
fof(d3_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_msafree(A,B) <=> ( k9_xtuple_0(C) = A & ! [D] : ( r2_tarski(D,A) => k1_funct_1(C,D) = k2_msafree(A,B,D) ) ) ) ) ) )).
fof(d3_msafree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v3_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( B = k2_msafree1(A) <=> ! [C] : ( r2_tarski(C,u1_struct_0(A)) => k1_funct_1(u3_msualg_1(A,B),C) = k1_tarski(C) ) ) ) ) )).
fof(d3_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => k3_msafree2(A) = k2_relset_1(u1_struct_0(A),u2_msualg_1(A)) ) )).
fof(d3_msafree3,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) ) => k3_msafree3(A,B,C) = k3_pboole(u1_struct_0(A),B,k2_msafree3(A,C)) ) ) ) )).
fof(d3_msalimit,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_msalimit(C,A,B) => ! [D] : ( m2_msalimit(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_orders_2(A,F,E) => k1_msalimit(A,B,C,D,E,F) = k1_binop_1(D,F,E) ) ) ) ) ) ) ) )).
fof(d3_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) => k4_msaterm(A,B,C,D,E) = k1_trees_4(k4_tarski(E,D)) ) ) ) ) ) )).
fof(d3_msscyc_2,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_msscyc_2(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A),u1_struct_0(A)))) ) => ( B = k3_msscyc_2(A) <=> ! [C] : ( r2_hidden(C,k1_msscyc_2(A)) => k1_funct_1(B,C) = k1_funct_1(u2_msualg_1(A),k1_xtuple_0(C)) ) ) ) ) )).
fof(d3_msualg_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l2_msualg_1(B,A) => ( v4_msualg_1(B,A) <=> v2_relat_1(u3_msualg_1(A,B)) ) ) ) )).
fof(d3_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),C))) => ( ( k1_funct_1(u3_msualg_1(A,B),C) != k1_xboole_0 => ( D = k1_msualg_2(A,B,C) <=> ? [E] : ( ~ v1_xboole_0(E) & E = k1_funct_1(u3_msualg_1(A,B),C) & D = a_4_0_msualg_2(A,B,C,E) ) ) ) & ( k1_funct_1(u3_msualg_1(A,B),C) = k1_xboole_0 => ( D = k1_msualg_2(A,B,C) <=> D = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d3_msualg_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( v2_msualg_3(D,A,B,C) <=> ! [E] : ( r2_tarski(E,A) => k10_xtuple_0(k1_funct_1(D,E)) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(d3_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v2_msualg_4(C,A,B) <=> v1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B)) ) ) ) ) )).
fof(d3_msualg_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_msualg_4(C,A,B,B) => ! [D] : ( ( v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) => ( D = k3_msualg_5(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => r2_relset_1(k1_funct_1(B,E),k1_funct_1(B,E),k1_msualg_4(A,B,B,D,E),k1_msualg_5(k1_funct_1(B,E),k1_msualg_4(A,B,B,C,E))) ) ) ) ) ) ) )).
fof(d3_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( B = k3_msualg_6(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(A)) & k2_msualg_1(A,E) = D & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r2_tarski(F,k4_finseq_1(k1_msualg_1(A,E))) & k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),F) = C ) ) ) ) ) ) ) ) )).
fof(d3_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v2_msualg_7(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => r2_tarski(k15_lattice3(A,C),u1_struct_0(B)) ) ) ) ) )).
fof(d3_msualg_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_msualg_5(A,B)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k2_msualg_5(k1_funct_1(B,C))))) => ( E = k3_msualg_8(A,B,C,D) <=> ! [F] : ( r2_tarski(F,E) <=> ? [G] : ( v1_msualg_4(G,A,B) & m1_msualg_4(G,A,B,B) & F = k1_msualg_4(A,B,B,G,C) & r2_tarski(G,D) ) ) ) ) ) ) ) ) )).
fof(d3_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k6_msualg_1(A) = k6_msualg_1(B) => k2_msuhom_1(A,B,C) = k17_funcop_1(k5_numbers,C) ) ) ) ) )).
fof(d3_mycielsk,axiom,( ! [A] : ( ( v1_mycielsk(A) & l1_orders_2(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k2_mycielsk(A) <=> ( ? [C] : ( v1_finset_1(C) & v6_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) & k4_card_1(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v6_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) ) => r1_xxreal_0(B,k4_card_1(C)) ) ) ) ) ) )).
fof(d3_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( v3_nagata_1(B,A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => v1_pcomps_1(k1_nagata_1(A,B,C),A) ) ) ) ) )).
fof(d3_nagata_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k3_nagata_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k1_numbers,D,E) = k3_seq_4(k7_relset_1(A,k1_numbers,k2_nagata_2(A,B,E),C)) ) ) ) ) ) ) )).
fof(d3_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k5_nat_3(A,B,C) <=> ! [E] : ( ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) & ( ~ r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) => k1_funct_1(D,E) = k1_funct_1(C,E) ) ) ) ) ) ) )).
fof(d3_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( B = k4_nat_5(A) <=> ! [C] : ( v7_ordinal1(C) => k1_recdef_1(B,C) = k3_nat_5(A,C) ) ) ) ) )).
fof(d3_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( ( ( k3_int_2(B,A) = 1 & r1_int_5(B,A) ) => ( A = 1 | k1_nat_6(A,B) = 1 ) ) & ( r1_int_1(A,B) => k1_nat_6(A,B) = k5_numbers ) & ( k3_int_2(B,A) = 1 => ( r1_int_5(B,A) | A = 1 | k1_nat_6(A,B) = k4_xcmplx_0(1) ) ) ) ) ) )).
fof(d3_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_nat_d(A,B) <=> ? [C] : ( v7_ordinal1(C) & B = k3_xcmplx_0(A,C) ) ) ) ) )).
fof(d3_nat_lat,axiom,( k3_nat_lat = g3_lattices(k4_ordinal1,k2_nat_lat,k1_nat_lat) )).
fof(d3_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r1_nattra_1(A,B,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u4_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(B)))) ) => ( m1_nattra_1(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => m1_cat_1(k3_funct_2(u1_struct_0(A),u4_struct_0(B),E,F),B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,D,F)) ) ) ) ) ) ) ) ) )).
fof(d3_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_ncfcont1(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & v9_clvect_1(C,A) ) => r2_tarski(k7_clvect_1(A,C),B) ) ) ) ) ) )).
fof(d3_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r3_ncfcont2(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),D)) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( r2_tarski(G,A) & r2_tarski(H,A) & ~ r1_xxreal_0(F,k2_normsp_0(B,k5_algstr_0(B,G,H))) & r1_xxreal_0(E,k2_normsp_0(C,k5_algstr_0(C,k7_partfun1(u1_struct_0(C),D,G),k7_partfun1(u1_struct_0(C),D,H)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k2_ndiff_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k1_rlvect_1(A,B,k8_nat_1(k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d3_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_ndiff_2(A,B,C,D,E) <=> ? [F] : ( m1_nfcont_1(F,A,D) & r1_tarski(F,k1_relset_1(u1_struct_0(A),C)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ! [H] : ( v1_xreal_0(H) => ~ ( ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v1_xreal_0(I) => ~ ( ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( v1_xreal_0(J) => ~ ( ~ r1_xxreal_0(I,k9_complex1(J)) & J != k5_numbers & r2_tarski(k3_rlvect_1(A,k1_rlvect_1(A,E,J),D),F) & r1_xxreal_0(H,k2_normsp_0(B,k5_algstr_0(B,k1_rlvect_1(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_rlvect_1(A,k1_rlvect_1(A,E,J),D)),k7_partfun1(u1_struct_0(B),C,D)),k5_xcmplx_0(J)),G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_ndiff_3(A,B,C) <=> ? [D] : ( m1_rcomp_1(D,C) & r1_tarski(D,k1_relset_1(k1_numbers,B)) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,u1_struct_0(A)) & v2_ndiff_3(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ? [F] : ( v1_funct_1(F) & v1_ndiff_3(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,G),k7_partfun1(u1_struct_0(A),B,C)) = k3_rlvect_1(A,k10_funct_2(k1_numbers,u1_struct_0(A),E,k6_xcmplx_0(G,C)),k7_partfun1(u1_struct_0(A),F,k6_xcmplx_0(G,C))) ) ) ) ) ) ) ) ) ) )).
fof(d3_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( r2_ndiff_4(A,B,C) <=> ( r1_tarski(C,k1_relset_1(k1_numbers,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => r1_ndiff_4(A,k2_partfun1(k1_numbers,k1_euclid(A),B,C),D) ) ) ) ) ) ) )).
fof(d3_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,B))))) ) => ( C = k3_ndiff_5(A,B) <=> ! [D] : ( m1_subset_1(D,k4_card_3(k4_prvect_2(A))) => k1_funct_1(C,D) = k1_ndiff_5(A,D,B) ) ) ) ) ) )).
fof(d3_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( v7_ordinal1(C) => k3_ndiff_6(A,B,C) = k1_funct_1(k2_ndiff_6(A,B),C) ) ) ) )).
fof(d3_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v13_vectsp_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_lopban_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))))) ) => ( C = k3_ndiff_7(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_binop_1(C,D,E) = k10_finseq_1(D,E) ) ) ) ) ) ) )).
fof(d3_neckla_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( C = k2_neckla_2(A,B) <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u1_orders_2(C) = k2_xboole_0(k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A))) ) ) ) ) ) )).
fof(d3_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_neckla_3(A,B) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_msualg_5(u1_struct_0(A),u1_orders_2(A)),B) ) ) )).
fof(d3_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_necklace(A) <=> r3_relat_2(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(d3_net_1,axiom,( ! [A] : ( l1_petri(A) => k2_net_1(A) = k2_xboole_0(u1_struct_0(A),u4_struct_0(A)) ) )).
fof(d3_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( r1_xxreal_0(A,B) => ( C = k3_newton(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( D = k6_xcmplx_0(B,A) => C = k7_xcmplx_0(k2_newton(B),k3_xcmplx_0(k2_newton(A),k2_newton(D))) ) ) ) ) & ( ~ r1_xxreal_0(A,B) => ( C = k3_newton(A,B) <=> C = k5_numbers ) ) ) ) ) )).
fof(d3_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_nfcont_1(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & v3_normsp_1(C,A) ) => r2_tarski(k5_normsp_1(A,C),B) ) ) ) ) ) )).
fof(d3_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v2_nfcont_3(B,A) <=> ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_hidden(D,k1_relset_1(k1_numbers,B)) & r2_hidden(E,k1_relset_1(k1_numbers,B)) ) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,D),k7_partfun1(u1_struct_0(A),B,E))),k3_xcmplx_0(C,k9_complex1(k6_xcmplx_0(D,E)))) ) ) ) ) ) ) ) )).
fof(d3_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( D = k2_nfcont_4(A,B,C) <=> ( k1_relset_1(B,D) = k1_relset_1(B,C) & ! [E] : ( r2_tarski(E,k1_relset_1(B,D)) => k7_partfun1(k1_euclid(A),D,E) = k6_euclid(A,k7_partfun1(k1_euclid(A),C,E)) ) ) ) ) ) ) ) )).
fof(d3_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => k2_normform(A,B,C,D) = k1_domain_1(A,B,k3_finsub_1(A,k2_domain_1(A,B,C),k2_domain_1(A,B,D)),k3_finsub_1(B,k3_domain_1(A,B,C),k3_domain_1(A,B,D))) ) ) ) ) )).
fof(d3_normsp_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_0(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k4_normsp_0(A,B,C) <=> ( k9_xtuple_0(D) = k9_xtuple_0(C) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k2_normsp_0(B,k7_partfun1(u1_struct_0(B),C,E)) ) ) ) ) ) ) ) ) )).
fof(d3_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k2_normsp_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k5_algstr_0(A,k1_normsp_0(A,B,E),k1_normsp_0(A,C,E)) ) ) ) ) ) ) )).
fof(d3_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k3_normsp_2(A) = k3_pcomps_1(k2_normsp_2(A)) ) )).
fof(d3_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => ( C = k3_ntalgo_1(A,B) <=> ! [D] : ( m1_subset_1(D,k4_numbers) => ( D = k5_int_1(A,B) => ( ( k3_mcart_1(k4_numbers,k4_numbers,k4_numbers,k2_ntalgo_1(B,D)) = 1 => ( ~ ( ~ r1_xxreal_0(k5_numbers,k2_mcart_1(k4_numbers,k4_numbers,k4_numbers,k2_ntalgo_1(B,D))) & ! [E] : ( m1_subset_1(E,k4_numbers) => ~ ( E = k2_mcart_1(k4_numbers,k4_numbers,k4_numbers,k2_ntalgo_1(B,D)) & C = k2_xcmplx_0(B,E) ) ) ) & ( r1_xxreal_0(k5_numbers,k2_mcart_1(k4_numbers,k4_numbers,k4_numbers,k2_ntalgo_1(B,D))) => C = k2_mcart_1(k4_numbers,k4_numbers,k4_numbers,k2_ntalgo_1(B,D)) ) ) ) & ( k3_mcart_1(k4_numbers,k4_numbers,k4_numbers,k2_ntalgo_1(B,D)) != 1 => C = k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(d3_numbers,axiom,( k3_numbers = k6_subset_1(k2_xboole_0(k5_arytm_3,k2_zfmisc_1(k1_tarski(k5_ordinal1),k5_arytm_3)),k1_tarski(k4_tarski(k5_ordinal1,k5_ordinal1))) )).
fof(d3_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k2_numpoly1(A,B) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_pepin(B),k6_xcmplx_0(A,2)),k3_xcmplx_0(B,k6_xcmplx_0(A,4))),2) ) ) )).
fof(d3_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)))) ) => ( B = k5_openlatt(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_openlatt(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_openlatt(A)) => k4_binop_1(k1_openlatt(A),B,C,D) = k3_openlatt(A,C,D) ) ) ) ) ) )).
fof(d3_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_qmax_1(A) ) => ( v1_oposet_1(A) <=> ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),B,u1_robbins1(A)) & v1_partit_2(B) ) ) ) )).
fof(d3_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_oppcat_1(A))) => k4_oppcat_1(A,B) = k3_oppcat_1(k2_oppcat_1(A),B) ) ) )).
fof(d3_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k2_ordeq_01(A,B) = g1_rlvect_1(k1_ordeq_01(A,B),k7_rsspace(k5_rsspace4(A,B),k1_ordeq_01(A,B)),k5_rsspace(k5_rsspace4(A,B),k1_ordeq_01(A,B)),k6_rsspace(k5_rsspace4(A,B),k1_ordeq_01(A,B))) ) ) )).
fof(d3_orders_1,axiom,( ! [A] : k1_orders_1(A) = k7_subset_1(k1_zfmisc_1(A),k9_setfam_1(A),k1_tarski(k1_xboole_0)) )).
fof(d3_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v4_orders_2(A) <=> r8_relat_2(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(d3_orders_3,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_orders_3(A) <=> v2_orders_3(k2_struct_0(A),A) ) ) )).
fof(d3_orders_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( r1_orders_4(A,B,C) <=> ( k2_xboole_0(B,C) = u1_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,C) ) => r2_orders_2(A,D,E) ) ) ) ) ) ) )).
fof(d3_ordinal1,axiom,( ! [A] : ( v2_ordinal1(A) <=> ! [B] : ! [C] : ~ ( r2_tarski(B,A) & r2_tarski(C,A) & ~ r2_tarski(B,C) & B != C & ~ r2_tarski(C,B) ) ) )).
fof(d3_ordinal2,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( B = k3_ordinal2(A) <=> ( r1_tarski(k2_ordinal1(A),B) & ! [C] : ( v3_ordinal1(C) => ( r1_tarski(k2_ordinal1(A),C) => r1_ordinal1(B,C) ) ) ) ) ) )).
fof(d3_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => k3_ordinal4(A) = 1 ) )).
fof(d3_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ~ r1_orders_2(B,F,E) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & ~ r1_orders_2(B,H,E) & ~ r1_orders_2(B,H,C) ) => ( G = k2_ortsp_1(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,H,E) & ~ r1_orders_2(B,H,C) & G != k8_group_1(A,k8_group_1(A,k1_ortsp_1(A,B,E,F,H),k1_ortsp_1(A,B,H,E,C)),k1_ortsp_1(A,B,C,H,D)) ) ) ) ) & ( ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,H,E) & ~ r1_orders_2(B,H,C) ) ) => ( G = k2_ortsp_1(A,B,C,D,E,F) <=> G = k4_struct_0(A) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( v2_osafree(B,A) <=> ? [C] : ( m1_osafree(C,A,B) & v1_osafree(C,A,B) ) ) ) ) )).
fof(d3_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_osalg_1(A) ) => ( v5_osalg_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( ( r1_osalg_1(A,B,C) & k1_msualg_1(A,B) = k1_msualg_1(A,C) & k2_msualg_1(A,B) = k2_msualg_1(A,C) ) => B = C ) ) ) ) ) )).
fof(d3_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_osalg_2(A,B,C) = k3_tarski(a_3_0_osalg_2(A,B,C)) ) ) ) )).
fof(d3_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k1_osalg_4(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,u1_struct_0(A)) & r2_hidden(D,u1_struct_0(A)) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & ~ r1_xxreal_0(k3_finseq_1(E),1) & k1_funct_1(E,1) = C & k1_funct_1(E,k3_finseq_1(E)) = D & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(2,F) & r1_xxreal_0(F,k3_finseq_1(E)) & ~ r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k6_xcmplx_0(F,1))),u1_orders_2(A)) & ~ r2_hidden(k4_tarski(k1_funct_1(E,k6_xcmplx_0(F,1)),k1_funct_1(E,F)),u1_orders_2(A)) ) ) ) ) ) ) ) ) )).
fof(d3_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))))) ) => ( B = k3_parsp_1(A) <=> ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => k3_funct_2(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),B,C) = k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k4_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)),k4_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)),k4_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C))) ) ) ) ) )).
fof(d3_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_parsp_2(A,B,C,D,E) <=> ( ~ r1_parsp_2(A,B,C,D) & r1_parsp_1(A,B,C,D,E) & r1_parsp_1(A,B,D,C,E) ) ) ) ) ) ) ) )).
fof(d3_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( C = k4_partfun1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & D = E & r1_tarski(k9_xtuple_0(E),A) & r1_tarski(k10_xtuple_0(E),B) ) ) ) )).
fof(d3_partit1,axiom,( ! [A] : ! [B] : ( B = k1_partit1(A) <=> ! [C] : ( r2_tarski(C,B) <=> m1_eqrel_1(C,A) ) ) )).
fof(d3_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_partit_2(B) <=> ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,A,B,k3_funct_2(A,A,B,C)) = C ) ) ) ) )).
fof(d3_pboole,axiom,( ! [A] : k1_pboole(A) = k7_funcop_1(A,k1_xboole_0) )).
fof(d3_pcomps_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_pcomps_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( m1_setfam_1(B,u1_struct_0(A)) & v1_tops_2(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_tops_2(C,A) & m1_setfam_1(C,u1_struct_0(A)) & r1_setfam_1(C,B) & v1_pcomps_1(C,A) ) ) ) ) ) ) )).
fof(d3_pcs_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) => ( G = k3_pcs_0(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,B) => ! [J] : ( m1_subset_1(J,C) => ! [K] : ( m1_subset_1(K,D) => ( r2_tarski(k1_domain_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D),k1_domain_1(A,C,H,J),k1_domain_1(B,D,I,K)),G) <=> ( r2_tarski(k1_domain_1(A,B,H,I),E) | r2_tarski(k1_domain_1(C,D,J,K),F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => k3_pdiff_1(A,B) = k3_relat_1(B,k2_funct_1(k1_pdiff_1(1,1))) ) ) )).
fof(d3_pdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( r2_pdiff_2(A,B) <=> ( r1_tarski(B,k1_relset_1(k1_euclid(2),A)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(2)) => ( r2_tarski(C,B) => r3_pdiff_1(2,2,k2_partfun1(k1_euclid(2),k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d3_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r2_pdiff_3(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k10_finseq_1(C,D) & ? [E] : ( m1_rcomp_1(E,D) & r1_tarski(E,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B))) & ? [F] : ( v1_funct_1(F) & v3_fdiff_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [G] : ( v1_funct_1(G) & v2_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B),H),k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B),D)) = k2_xcmplx_0(k1_funct_1(F,k6_xcmplx_0(H,D)),k1_funct_1(G,k6_xcmplx_0(H,D))) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( r3_pdiff_4(A,B) <=> ( r1_tarski(B,k1_relset_1(k1_euclid(3),A)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ( r2_tarski(C,B) => r3_pdiff_1(3,3,k2_partfun1(k1_euclid(3),k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d3_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r3_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,E) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,k1_pdiff_3(1,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(1,3,A),B),I),k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(1,3,A),B),E)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,E)),k1_funct_1(H,k6_xcmplx_0(I,E))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_pdiff_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_numbers))) ) => ( r2_pdiff_9(A,B,C) <=> ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => ( r2_tarski(D,A) => r1_pdiff_7(B,k2_partfun1(k1_euclid(B),k1_numbers,C,A),D) ) ) ) ) ) )).
fof(d3_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_pencil_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r1_pencil_1(A,C,D) ) ) ) ) ) ) )).
fof(d3_pencil_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_pencil_2(A,B,C) <=> ? [D] : ( m2_finseq_1(D,k1_zfmisc_1(u1_struct_0(A))) & B = k1_funct_1(D,1) & C = k1_funct_1(D,k3_finseq_1(D)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,k2_relset_1(k1_zfmisc_1(u1_struct_0(A)),D)) => ( v1_pencil_1(E,A) & v2_pencil_1(E,A) ) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(D),E) | r1_tarski(2,k1_card_1(k3_xboole_0(k1_funct_1(D,E),k1_funct_1(D,k1_nat_1(E,1))))) ) ) ) ) ) ) ) ) )).
fof(d3_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,A) & v3_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( D = k2_pencil_3(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( k3_funct_2(A,A,D,E) = F <=> ! [G] : ( m1_pencil_2(G,A,B) => ! [H] : ( ( ~ v13_pencil_1(H) & v16_pencil_1(H,A) & m3_pboole(H,A,k12_pralg_1(A,B)) ) => ! [I] : ( ( ~ v13_pencil_1(I) & v16_pencil_1(I,A) & m3_pboole(I,A,k12_pralg_1(A,B)) ) => ( ( G = k4_card_3(H) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,G) = k4_card_3(I) & k3_pencil_1(A,H) = E ) => k3_pencil_1(A,I) = F ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( v7_ordinal1(E) => k3_pencil_4(A,B,C,D,E) = k8_subset_1(k3_vectsp_5(A,B),k2_pencil_4(A,B,C,D),k2_vectsp_9(A,B,E)) ) ) ) ) ) )).
fof(d3_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => k4_pepin(A) = k1_nat_1(k1_newton(2,k1_newton(2,A)),1) ) )).
fof(d3_petri_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : k2_petri_2(A,B) = a_2_0_petri_2(A,B) ) )).
fof(d3_petri_3,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => k2_petri_3(A) = a_1_0_petri_3(A) ) )).
fof(d3_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_finseq_1(B,k2_net_1(A)) => k2_petri_df(A,B) = a_2_1_petri_df(A,B) ) ) )).
fof(d3_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r2_pnproc_1(A,B,C) <=> ! [D] : ( r2_tarski(D,A) => r1_xxreal_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) )).
fof(d3_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_polyalg1(B,A) => ! [C] : ( l1_polyalg1(C,A) => ( m1_polyalg1(C,A,B) <=> ( r1_tarski(u1_struct_0(C),u1_struct_0(B)) & k5_struct_0(C) = k5_struct_0(B) & k4_struct_0(C) = k4_struct_0(B) & u1_algstr_0(C) = k1_realset1(u1_algstr_0(B),u1_struct_0(C)) & u2_algstr_0(C) = k1_realset1(u2_algstr_0(B),u1_struct_0(C)) & u1_vectsp_1(A,C) = k2_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),u1_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C))) ) ) ) ) ) )).
fof(d3_polyeq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k3_polyeq_1(A,B,C,D) = k3_xcmplx_0(A,k3_xcmplx_0(k6_xcmplx_0(B,C),k6_xcmplx_0(B,D))) ) ) ) ) )).
fof(d3_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_polyeq_3(A) = k3_xcmplx_0(k1_square_1(A),A) ) )).
fof(d3_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( ( k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)) = k5_numbers => ( D = k3_polyeq_5(A,B,C) <=> ? [E] : ( v1_xcmplx_0(E) & ? [F] : ( v1_xcmplx_0(F) & E = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,C),B),k3_xcmplx_0(2,k1_newton(C,3))),k3_xcmplx_0(27,A)),54) & F = k1_polyeq_5(3,k3_xcmplx_0(2,E)) & D = k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(F,2)),k7_xcmplx_0(C,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(F,k1_polyeq_5(2,3)),k7_complex1),2)) ) ) ) ) & ( k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)) != k5_numbers => ( D = k3_polyeq_5(A,B,C) <=> ? [E] : ( v1_xcmplx_0(E) & ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & ? [I] : ( v1_xcmplx_0(I) & E = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)),9) & F = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,C),B),k3_xcmplx_0(2,k1_newton(C,3))),k3_xcmplx_0(27,A)),54) & G = k1_polyeq_5(2,k2_xcmplx_0(k1_newton(E,3),k1_newton(F,2))) & H = k1_polyeq_5(3,k2_xcmplx_0(F,G)) & I = k4_xcmplx_0(k7_xcmplx_0(E,H)) & D = k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(H,I),2)),k7_xcmplx_0(C,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(H,I),k1_polyeq_5(2,3)),k7_complex1),2)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_polyform,axiom,( ! [A] : ( l1_polyform(A) => ( v4_polyform(A) <=> ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(u1_polyform(A))) ) => ( ~ v1_xboole_0(k1_funct_1(u1_polyform(A),B)) & v2_funct_1(k1_funct_1(u1_polyform(A),B)) ) ) ) ) ) )).
fof(d3_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k4_finseq_2(A,k4_ordinal1)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,k4_ordinal1),k4_finseq_2(A,k4_ordinal1)))) ) => ( B = k5_polynom3(A) <=> ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ! [D] : ( m2_finseq_2(D,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ( r2_hidden(k4_tarski(C,D),B) <=> r2_polynom3(A,C,D) ) ) ) ) ) ) )).
fof(d3_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => k3_polynom5(A,B,C) = k1_binop_1(k4_group_1(k13_polynom3(A)),B,C) ) ) ) )).
fof(d3_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v3_polynom7(C,A,B) <=> ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( E != D => k4_polynom1(A,B,C,E) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(d3_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(k5_numbers,C) => k2_polynom8(A,B,C) = k1_binop_1(k4_group_1(A),B,C) ) & ( ~ r1_xxreal_0(k5_numbers,C) => k2_polynom8(A,B,C) = k9_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k1_int_2(C))) ) ) ) ) ) )).
fof(d3_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_polyred(A,B,C,D,E) <=> ( r1_polyred(A,B,C,D,E) & k3_polynom1(k15_pre_poly(A),C,D) != k3_polynom1(k15_pre_poly(A),C,E) ) ) ) ) ) ) ) )).
fof(d3_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k2_poset_1(A,B) = k1_poset_1(A,B,k3_yellow_0(A)) ) ) )).
fof(d3_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_poset_2(A) = g1_orders_2(k1_ordinal1(A),k3_poset_2(A)) ) )).
fof(d3_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & A != 1 & ~ r1_xxreal_0(B,k5_numbers) & ~ ! [C] : ( v1_xreal_0(C) => ( C = k3_power(A,B) <=> k2_power(A,C) = B ) ) ) ) ) )).
fof(d3_pralg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & ~ v1_xboole_0(C) & v2_margrel1(C) & v3_margrel1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [D] : ( ( v1_funct_1(D) & ~ v1_xboole_0(D) & v2_margrel1(D) & v3_margrel1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B),B))) ) => ( k18_margrel1(C) = k18_margrel1(D) => ! [E] : ( ( v1_funct_1(E) & ~ v1_xboole_0(E) & v2_margrel1(E) & v3_margrel1(E,k2_zfmisc_1(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) ) => ( E = k3_pralg_1(A,B,C,D) <=> ( k9_xtuple_0(E) = k4_finseq_2(k18_margrel1(C),k2_zfmisc_1(A,B)) & ! [F] : ( m2_finseq_1(F,k2_zfmisc_1(A,B)) => ( r2_tarski(F,k9_xtuple_0(E)) => k1_funct_1(E,F) = k4_tarski(k1_funct_1(C,k1_pralg_1(A,B,F)),k1_funct_1(D,k2_pralg_1(A,B,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_pre_poly(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) & v1_finseq_1(k1_funct_1(A,B)) ) ) ) ) )).
fof(d3_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) <=> v3_pre_topc(k7_subset_1(u1_struct_0(A),k2_struct_0(A),B),A) ) ) ) )).
fof(d3_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( v4_prefer_1(A) <=> ( v5_relat_2(u1_prefer_1(A)) & v1_partfun1(u1_pcs_0(A),u1_struct_0(A)) & v1_relat_2(u1_pcs_0(A)) & v3_relat_2(u1_pcs_0(A)) & m1_subset_1(u1_pcs_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v2_relat_2(u1_orders_2(A)) & v3_relat_2(u1_orders_2(A)) & r1_prefer_1(u1_prefer_1(A),u1_pcs_0(A),u1_orders_2(A)) & k2_pcs_0(k2_xboole_0(k2_xboole_0(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)),k2_xboole_0(k2_xboole_0(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k2_pcs_0(k2_xboole_0(u1_struct_0(A),u1_struct_0(A)),k2_xboole_0(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k2_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_prefer_1(A),k3_relset_1(u1_struct_0(A),u1_struct_0(A),u1_prefer_1(A))),u1_pcs_0(A)),u1_orders_2(A)) = k1_eqrel_1(u1_struct_0(A)) ) ) ) )).
fof(d3_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_prelamb(A,B,C) = k4_binop_1(u1_struct_0(A),u3_prelamb(A),B,C) ) ) ) )).
fof(d3_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(k5_numbers,B) => k3_prepower(A,B) = k1_newton(A,k1_int_2(B)) ) & ( ~ r1_xxreal_0(k5_numbers,B) => k3_prepower(A,B) = k5_xcmplx_0(k1_newton(A,k1_int_2(B))) ) ) ) ) )).
fof(d3_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k3_prob_1(A,B) = k3_subset_1(A,k1_prob_1(A,k2_prob_1(A,B))) ) )).
fof(d3_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( C = k3_prob_3(A,B) <=> ( k1_prob_2(A,k9_setfam_1(A),C,k5_numbers) = k1_prob_2(A,k9_setfam_1(A),B,k5_numbers) & ! [D] : ( v7_ordinal1(D) => k1_prob_2(A,k9_setfam_1(A),C,k1_nat_1(D,1)) = k7_prob_1(A,k9_setfam_1(A),k1_prob_2(A,k9_setfam_1(A),B,k1_nat_1(D,1)),k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),D)) ) ) ) ) ) )).
fof(d3_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ( r1_prob_4(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( ( r2_tarski(E,B) & r1_tarski(D,E) & k1_funct_1(C,E) = k5_numbers ) => r2_tarski(D,B) ) ) ) ) ) ) )).
fof(d3_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( r3_projpl_1(A,B,C,D,E) <=> ( r1_incsp_1(A,B,C) & r1_incsp_1(A,B,D) & r1_incsp_1(A,B,E) ) ) ) ) ) ) ) )).
fof(d3_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u1_incsp_1(A)))) ) => ( m1_projred2(B,A) <=> ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u2_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u2_incsp_1(A)) & ~ r1_incsp_1(A,C,D) & ~ r1_incsp_1(A,C,E) & B = k1_projred1(A,D,E,C) ) ) ) ) ) ) )).
fof(d3_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ( ( v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v13_algstr_0(A) ) => k4_prvect_1(A,B) = g2_algstr_0(k4_finseq_2(B,u1_struct_0(A)),k2_prvect_1(u1_struct_0(A),u1_algstr_0(A),B),k5_finseq_2(u1_struct_0(A),B,k4_struct_0(A))) ) ) ) )).
fof(d3_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => k3_prvect_3(A,B) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_struct_0(A),k4_struct_0(B)) ) ) )).
fof(d3_pscomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( v2_rcomp_1(C) => v4_pre_topc(k8_relset_1(u1_struct_0(A),k1_numbers,B,C),A) ) ) ) ) ) )).
fof(d3_pua2mss1,axiom,( ! [A] : ! [B] : ( m2_pua2mss1(B,A) => ! [C] : ( r2_hidden(C,A) => ! [D] : ( D = k5_pua2mss1(A,B,C) <=> ( r2_tarski(D,k9_xtuple_0(B)) & r2_hidden(C,k1_funct_1(B,D)) ) ) ) ) )).
fof(d3_pythtrip,axiom,( ! [A] : ( v1_pythtrip(A) <=> ? [B] : ( v7_ordinal1(B) & A = k1_pepin(B) ) ) )).
fof(d3_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pzfmisc1(A,B,C) <=> ! [D] : ( ( r2_tarski(D,A) & k1_funct_1(C,D) = k1_xboole_0 ) => k1_funct_1(B,D) = k1_xboole_0 ) ) ) ) )).
fof(d3_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => k2_qc_lang1(A) = k2_xboole_0(k2_zfmisc_1(k1_tarski(6),k4_ordinal1),k2_zfmisc_1(k2_tarski(4,5),k1_qc_lang1(A))) ) )).
fof(d3_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k3_qc_lang2(A,B,C) = k13_qc_lang1(A,k14_qc_lang1(A,k13_qc_lang1(A,B),k13_qc_lang1(A,C))) ) ) ) )).
fof(d3_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => k3_qc_lang3(A,B) = k4_tarski(6,B) ) ) )).
fof(d3_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m4_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ( D = k3_qc_lang4(A,B,C) <=> ! [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(A,B))) => ( r2_tarski(E,D) <=> k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),E) = C ) ) ) ) ) ) ) )).
fof(d3_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => k1_qc_trans(A,B,C) = C ) ) ) )).
fof(d3_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => k3_qmax_1(A) = u2_qmax_1(A) ) )).
fof(d3_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v5_quantal1(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,C,B) = B ) ) ) ) )).
fof(d3_quaterni,axiom,( k3_quaterni = k2_quaterni(k4_ordinal1,k5_numbers,1,2,3,k5_numbers,k5_numbers,1,k5_numbers) )).
fof(d3_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ! [C] : ( m2_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => k3_quofield(A,B,C) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),k6_algstr_0(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),B),k2_domain_1(u1_struct_0(A),u1_struct_0(A),C)),k6_algstr_0(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),B),k3_domain_1(u1_struct_0(A),u1_struct_0(A),C))) ) ) ) )).
fof(d3_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(B)) ) => ( ( r2_tarski(A,k2_finseq_1(C)) => k4_radix_1(A,B,C,D) = k1_funct_1(D,A) ) & ( A = k5_numbers => k4_radix_1(A,B,C,D) = k5_numbers ) ) ) ) ) ) )).
fof(d3_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k4_ordinal1) ) => k3_radix_2(A,B,C) = k1_wsierp_1(k2_radix_2(A,B,C)) ) ) ) )).
fof(d3_radix_3,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k1_radix_1(k7_nat_d(B,1)),A) => k5_radix_3(A,B) = 1 ) & ( ~ r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B,1))),A) => k5_radix_3(A,B) = k4_xcmplx_0(1) ) & ( r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B,1))),A) => ( r1_xxreal_0(k1_radix_1(k7_nat_d(B,1)),A) | k5_radix_3(A,B) = k5_numbers ) ) ) ) ) )).
fof(d3_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => ( ( r1_xxreal_0(1,A) => ( r1_xxreal_0(B,A) | k3_radix_5(A,B,C) = k6_xcmplx_0(k1_radix_1(C),1) ) ) & ( ~ ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(B,A) ) => k3_radix_5(A,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d3_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(B,2)) & m2_finseq_1(D,k3_radix_1(C)) ) => ( ( r1_xxreal_0(2,C) & r2_hidden(A,k2_finseq_1(k2_xcmplx_0(B,2))) ) => ( ( r1_xxreal_0(B,A) => k3_radix_6(A,B,C,D) = k1_funct_1(D,A) ) & ( ~ r1_xxreal_0(B,A) => k3_radix_6(A,B,C,D) = k6_xcmplx_0(k1_radix_1(C),1) ) ) ) ) ) ) ) )).
fof(d3_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ! [D] : ( m2_prob_1(D,A,B) => ( r1_random_1(A,B,C,D) <=> r3_mesfunc6(A,B,k2_prob_4(A,B,D),C) ) ) ) ) ) )).
fof(d3_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k3_random_2(A,B) = a_2_0_random_2(A,B) ) ) )).
fof(d3_ranknull,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_ranknull(A,B) = k7_subset_1(u1_struct_0(A),k2_struct_0(A),B) ) ) )).
fof(d3_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( v7_ordinal1(B) => ( B = k1_rat_1(A) <=> ( B != k5_numbers & ? [C] : ( v1_int_1(C) & A = k7_xcmplx_0(C,B) ) & ! [C] : ( v1_int_1(C) => ! [D] : ( v7_ordinal1(D) => ( A = k7_xcmplx_0(C,D) => ( D = k5_numbers | r1_xxreal_0(B,D) ) ) ) ) ) ) ) ) )).
fof(d3_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ratfunc1(A,B,C,D) <=> ( r1_polynom5(A,B,D) & r1_polynom5(A,C,D) ) ) ) ) ) ) )).
fof(d3_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_rcomp_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r1_tarski(k10_xtuple_0(B),A) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( m2_valued_0(C,k1_numbers,B) & v2_comseq_2(C) & r2_hidden(k1_seq_2(C),A) ) ) ) ) ) ) )).
fof(d3_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) => ! [D] : ( m1_rcomp_3(D,A,B,C) => ( ( m1_setfam_1(C,u1_struct_0(k4_topmetr(A,B))) & v1_tops_2(C,k4_topmetr(A,B)) & v1_rcomp_3(C,k4_topmetr(A,B)) & r1_xxreal_0(A,B) ) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( m2_rcomp_3(E,A,B,C,D) <=> ( k3_finseq_1(E) = k1_nat_1(k3_finseq_1(D),1) & k1_funct_1(E,1) = A & k1_funct_1(E,k3_finseq_1(E)) = B & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),k1_nat_1(F,1)) | r2_tarski(k1_funct_1(E,k1_nat_1(F,1)),k2_rcomp_1(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,k1_nat_1(F,1))),k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),D,F)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k3_real_3(A) <=> ( k8_nat_1(k1_numbers,B,k5_numbers) = A & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,k1_nat_1(C,1)) = k7_xcmplx_0(1,k3_int_1(k8_nat_1(k1_numbers,B,C))) ) ) ) ) ) )).
fof(d3_real_lat,axiom,( k3_real_lat = g3_lattices(k1_numbers,k2_real_lat,k1_real_lat) )).
fof(d3_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_euclid(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( B = k3_real_ns1(A) <=> ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k3_funct_2(k1_euclid(A),k1_numbers,B,C) = k12_euclid(C) ) ) ) ) )).
fof(d3_rearran1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ( v3_rearran1(B,A) <=> ? [C] : ( v1_finset_1(C) & C = k3_tarski(A) & k3_finseq_1(B) = k4_card_1(C) ) ) ) )).
fof(d3_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_tarski(A,B) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),A) => r2_hidden(k4_tarski(C,D),B) ) ) ) )).
fof(d3_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r3_relat_2(A,B) <=> ! [C] : ! [D] : ( ( r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) ) => r2_hidden(k4_tarski(D,C),A) ) ) ) )).
fof(d3_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) <=> ? [D] : ( m1_rewrite1(D,A) & k1_funct_1(D,1) = B & k1_funct_1(D,k3_finseq_1(D)) = C ) ) ) )).
fof(d3_rewrite2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_rewrite2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_rewrite2(C) ) => ( C = k2_rewrite2(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(B) & ! [D] : ( r2_tarski(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k1_ordinal4(k1_funct_1(B,D),A) ) ) ) ) ) ) )).
fof(d3_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( l1_rewrite3(C,B) => ! [D] : ! [E] : ! [F] : ! [G] : ( r2_rewrite3(A,B,C,D,E,F,G) <=> ? [H] : ( m1_subset_1(H,k8_afinsq_1(A)) & ? [I] : ( m1_subset_1(I,k8_afinsq_1(A)) & H = G & r1_rewrite3(B,C,D,I,F) & E = k1_flang_1(A,I,H) ) ) ) ) ) ) )).
fof(d3_rfinseq,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ( v8_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) ) => r1_xxreal_0(k1_funct_1(A,k1_nat_1(B,1)),k1_funct_1(A,B)) ) ) ) ) )).
fof(d3_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k3_rfinseq2(A) = k1_funct_1(A,k1_rfinseq2(A)) ) )).
fof(d3_rfunct_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v7_valued_0(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,A)) & r2_hidden(C,k1_relset_1(k1_numbers,A)) ) => ( r1_xxreal_0(C,B) | r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) ) )).
fof(d3_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_rfunct_3(C,A,B) <=> ! [D] : ( m1_subset_1(D,C) => ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) )).
fof(d3_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r3_rfunct_4(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,B) & r2_hidden(E,B) & r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)),B) & k1_funct_1(A,D) != k1_funct_1(A,E) & r1_xxreal_0(k4_xxreal_0(k1_funct_1(A,D),k1_funct_1(A,E)),k1_funct_1(A,k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)))) ) ) ) ) ) ) ) )).
fof(d3_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v4_partfun3(A) <=> ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k1_funct_1(A,B)) ) ) ) )).
fof(d3_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v1_rinfsup2(A) <=> v3_xxreal_2(k15_supinf_2(A)) ) ) )).
fof(d3_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_ring_1(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(B,C) & C != B & v1_subset_1(C,u1_struct_0(A)) ) ) ) ) ) )).
fof(d3_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k2_ring_2(A) = a_1_0_ring_2(A) ) )).
fof(d3_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => k2_ringcat1(A) = u2_ringcat1(A) ) )).
fof(d3_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( v1_xreal_0(C) => ( C = k3_rlaffin1(A,B) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(D) & k10_xtuple_0(D) = k3_rlvect_2(A,B) & C = k18_rvsum_1(k4_finseqop(u1_struct_0(A),k1_numbers,D,B)) ) ) ) ) ) )).
fof(d3_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( D = k2_rlaffin3(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),D,E) = k1_funct_1(k5_rlaffin1(A,B,E),C) ) ) ) ) ) )).
fof(d3_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_rlvect_1(B) & m1_rlsub_1(B,A) ) => ( B = k1_rlsub_1(A) <=> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) ) )).
fof(d3_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( B = k3_rlsub_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_rlvect_1(C) & m1_rlsub_1(C,A) ) ) ) ) )).
fof(d3_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_rltopsp1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v1_convex1(C,A) ) ) ) ) ) )).
fof(d3_rlvect_1,axiom,( ! [A] : ( l1_algstr_0(A) => ( v3_rlvect_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_algstr_0(A,k1_algstr_0(A,B,C),D) = k1_algstr_0(A,B,k1_algstr_0(A,C,D)) ) ) ) ) ) )).
fof(d3_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k1_numbers,k9_funct_2(u1_struct_0(A),k1_numbers)) => ( m1_rlvect_2(B,A) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r2_tarski(D,C) => k3_funct_2(u1_struct_0(A),k1_numbers,B,D) = k5_numbers ) ) ) ) ) ) )).
fof(d3_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_rlvect_3(B,A) <=> ( v1_rlvect_3(B,A) & k1_rlvect_3(A,B) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) ) ) ) )).
fof(d3_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_rlvect_5(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( C = k2_rlvect_5(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v1_rlvect_1(E) & m1_rlsub_1(E,A) & E = D & k1_rlvect_5(E) = B ) ) ) ) ) )).
fof(d3_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k3_rlvect_x(A,B) = a_2_1_rlvect_x(A,B) ) ) )).
fof(d3_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v2_vectsp_2(C,A) & m1_rmod_2(C,A,B) ) => ( C = k1_rmod_2(A,B) <=> u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k4_struct_0(B)) ) ) ) ) )).
fof(d3_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( C = k3_rmod_3(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v2_vectsp_2(E,A) & m1_rmod_2(E,A,B) & E = D ) ) ) ) ) )).
fof(d3_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => k2_rmod_4(A,B,C) = a_3_0_rmod_4(A,B,C) ) ) ) )).
fof(d3_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_robbins1(A,B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),u1_robbins1(A),B) ) ) )).
fof(d3_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v3_robbins3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,B,k2_lattices(A,B,C)) = B ) ) ) ) )).
fof(d3_robbins4,axiom,( k1_robbins4 = k1_yellow_1(k4_enumset1(k5_numbers,1,k6_subset_1(3,1),2,k6_subset_1(3,2),3)) )).
fof(d3_roughs_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_roughs_2(A) <=> r1_roughs_2(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(d3_rpr_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_rpr_1(A,B,C) <=> k1_rpr_1(A,k9_subset_1(A,B,C)) = k3_xcmplx_0(k1_rpr_1(A,B),k1_rpr_1(A,C)) ) ) ) ) )).
fof(d3_rsspace3,axiom,( k3_rsspace3 = g1_normsp_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3),k2_rsspace3) )).
fof(d3_rsspace4,axiom,( k3_rsspace4 = g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4) )).
fof(d3_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => k2_rusub_1(A) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) ) )).
fof(d3_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( B = k3_rusub_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) ) ) ) )).
fof(d3_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( C = k2_rusub_4(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v1_bhsp_1(E) & m1_rusub_1(E,A) & E = D & k1_rusub_4(E) = B ) ) ) ) ) )).
fof(d3_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => ( C = k2_rusub_5(A,B) <=> u1_struct_0(C) = a_2_1_rusub_5(A,B) ) ) ) ) )).
fof(d3_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_rvsum_1(A) = k5_funcop_1(k11_binop_2,A,k6_partfun1(k1_numbers)) ) )).
fof(d3_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => k5_rvsum_2(A) = k3_relat_1(A,k1_binop_2) ) )).
fof(d3_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => k2_rvsum_3(A) = k1_power(k3_finseq_1(A),k19_rvsum_1(A)) ) )).
fof(d3_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => k5_scm_comp(A,B) = k6_trees_4(k4_tarski(k5_numbers,k5_numbers),A,B) ) ) )).
fof(d3_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_scm_halt(A,B,C) <=> r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k1_scmfsa_m(B)) ) ) ) ) )).
fof(d3_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(9)) & A = k3_xtuple_0(D,k1_xboole_0,k2_finseq_4(k2_scm_inst,B,C)) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k4_scm_inst(A) <=> ? [C] : ( m2_finseq_1(C,k2_scm_inst) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_scm_inst,C,1) ) ) ) ) ) )).
fof(d3_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k2_scmfsa6a(A,B) = k7_compos_1(k1_scmfsa_2,k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A)),B) ) ) )).
fof(d3_scmfsa7b,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( r3_scmfsa7b(A,B) <=> ~ ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( m1_scmfsa_2(D) => ( k6_scmfsa_2(B,C) != A & k7_scmfsa_2(B,C) != A & k8_scmfsa_2(B,C) != A & k9_scmfsa_2(B,C) != A & k10_scmfsa_2(B,C) != A & k10_scmfsa_2(C,B) != A & k14_scmfsa_2(B,C,D) != A & k16_scmfsa_2(B,D) != A ) ) ) ) ) ) )).
fof(d3_scmfsa8b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => k3_scmfsa8b(A,B,C,D) = k3_scmfsa6a(k8_scmfsa_2(A,B),k1_scmfsa8b(A,C,D)) ) ) ) ) )).
fof(d3_scmfsa_2,axiom,( k3_scmfsa_2 = k3_scmfsa_1 )).
fof(d3_scmfsa_7,axiom,( ! [A] : ( m1_scmfsa_2(A) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( C = k3_scmfsa_7(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k8_afinsq_1(u1_compos_1(k1_scmfsa_2))) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) & k1_afinsq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(k1_afinsq_1(D),E) & ! [F] : ( v1_int_1(F) => ~ ( F = k1_funct_1(B,k1_nat_1(E,1)) & k1_funct_1(D,E) = k1_ordinal4(k1_ordinal4(k2_scmfsa_7(k4_scmfsa_2(1),k1_nat_1(E,1)),k2_scmfsa_7(k4_scmfsa_2(2),F)),k5_afinsq_1(k15_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(1),A))) ) ) ) ) & C = k8_afinsq_2(u1_compos_1(k1_scmfsa_2),D) ) ) ) ) ) )).
fof(d3_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k1_scmfsa_i) & ? [D] : ( m1_subset_1(D,k2_scm_inst) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(13)) & A = k3_xtuple_0(E,k1_xboole_0,k11_finseq_1(B,C,D)) ) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k3_scmfsa_i(A) <=> ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,k1_scmfsa_i) & ? [E] : ( m1_subset_1(E,k2_scm_inst) & k11_finseq_1(C,D,E) = k2_xtuple_0(A) & B = C ) ) ) ) ) ) ) )).
fof(d3_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( B = k2_scmfsa_m(A) <=> ? [C] : ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & B = k4_scmfsa_2(k4_seq_4(C)) & C = a_1_0_scmfsa_m(A) ) ) ) ) )).
fof(d3_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k3_scmfsa_x(A,B) = k1_funct_7(k1_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(B),2),k11_scmfsa_2(k5_numbers)) ) ) )).
fof(d3_scmisort,axiom,( k3_scmisort = k2_scmisort(k5_scmfsa_2(k5_numbers)) )).
fof(d3_scmp_gcd,axiom,( k3_scmp_gcd = k1_scmp_gcd(1) )).
fof(d3_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k2_scmpds_2(A,B) = k4_tarski(1,k1_int_2(k2_xcmplx_0(A,B))) ) ) )).
fof(d3_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => k3_scmpds_4(A,B) = k1_scmpds_4(A,k9_compos_1(k1_scmpds_2,B)) ) ) )).
fof(d3_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r2_scmpds_6(A,B,C) <=> r1_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C,k10_compos_1(k1_scmpds_2,A)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B)) ) ) ) ) )).
fof(d3_scmpds_7,axiom,( ! [A] : ( v7_ordinal1(A) => k3_scmpds_7(A) = k1_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k10_scmpds_2(k2_scmp_gcd,2,A)),k10_scmpds_2(k2_scmp_gcd,3,k5_numbers)),k2_scmpds_7(k2_scmp_gcd,2,1,k9_compos_1(k1_scmpds_2,k11_scmpds_2(k2_scmp_gcd,3,1)))) ) )).
fof(d3_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k2_scmpds_8(A,B,C) = k3_scmpds_4(k2_scmpds_4(k8_scmpds_2(A,B,k1_nat_1(k4_card_1(C),2)),C),k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C),1)))) ) ) ) )).
fof(d3_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( v1_int_1(B) & ? [C] : ( m2_subset_1(C,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(C,k1_xboole_0,k9_finseq_1(B)) ) ) => ! [B] : ( v1_int_1(B) => ( B = k4_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k4_numbers) & C = k2_xtuple_0(A) & B = k7_partfun1(k4_numbers,C,1) ) ) ) ) ) )).
fof(d3_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => k1_scmring1(A) = k6_afinsq_1(k4_ordinal1,u1_struct_0(A)) ) )).
fof(d3_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => k3_scmring2(A,B,C) = k3_xtuple_0(1,k1_xboole_0,k10_finseq_1(B,C)) ) ) ) )).
fof(d3_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,k2_scm_inst) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(8)) & B = k3_xtuple_0(E,k1_xboole_0,k2_finseq_4(k2_scm_inst,C,D)) ) ) ) => ! [C] : ( m1_subset_1(C,k2_scm_inst) => ( C = k3_scmringi(A,B) <=> ? [D] : ( m2_finseq_1(D,k2_scm_inst) & D = k2_xtuple_0(B) & C = k7_partfun1(k2_scm_inst,D,2) ) ) ) ) ) ) )).
fof(d3_scpinvar,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k3_scpinvar(A,B,C) = k3_scmpds_4(k1_scmpds_4(k4_scmpds_4(k7_scmpds_2(A,B,2),k3_scmpds_2(k1_nat_1(k4_card_1(C),2))),C),k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C),2)))) ) ) ) )).
fof(d3_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_semi_af1(A,B,C,D,E) <=> ( ~ r1_semi_af1(A,B,C,D) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) ) ) ) ) ) ) )).
fof(d3_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_seq_2(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(B,k1_funct_1(A,C)) ) ) ) ) )).
fof(d3_seq_4,axiom,( k4_binop_2 = k7_finseqop(k2_numbers,k3_binop_2,k6_partfun1(k2_numbers),k1_binop_2) )).
fof(d3_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( C = k4_seqfunc(A,B) <=> ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,C,D),k32_valued_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,B,D))) ) ) ) ) ) )).
fof(d3_seqm_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v3_valued_0(A) ) => ( v7_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & r1_xxreal_0(B,C) ) => r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d3_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k4_series_1(A) = k1_seq_2(k3_series_1(A)) ) )).
fof(d3_setfam_1,axiom,( ! [A] : ! [B] : ( r2_setfam_1(A,B) <=> ! [C] : ~ ( r2_tarski(C,B) & ! [D] : ~ ( r2_tarski(D,A) & r1_tarski(D,C) ) ) ) )).
fof(d3_setlim_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k3_setlim_1(A) <=> ( k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k3_tarski(a_2_1_setlim_1(A,C)) ) ) ) ) ) )).
fof(d3_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k3_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k7_subset_1(A,k8_nat_1(k9_setfam_1(A),B,E),k8_nat_1(k9_setfam_1(A),C,E)) ) ) ) ) ) )).
fof(d3_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(C,B) & v2_binop_1(C,B) ) => ( ( D = k1_xboole_0 & ~ v1_setwiseo(C,B) ) | ! [F] : ( m1_subset_1(F,B) => ( F = k7_setwiseo(A,B,C,D,E) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k5_finsub_1(A),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),B))) & F = k3_funct_2(k5_finsub_1(A),B,G,D) & ! [H] : ( m1_subset_1(H,B) => ( r3_binop_1(B,H,C) => k1_funct_1(G,k1_xboole_0) = H ) ) & ! [H] : ( m1_subset_1(H,A) => k1_funct_1(G,k1_tarski(H)) = k3_funct_2(A,B,E,H) ) & ! [H] : ( m1_subset_1(H,k5_finsub_1(A)) => ( r1_tarski(H,D) => ( H = k1_xboole_0 | ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k6_setwiseo(A,D,H)) => k1_funct_1(G,k2_xboole_0(H,k1_tarski(I))) = k4_binop_1(B,C,k3_funct_2(k5_finsub_1(A),B,G,H),k3_funct_2(A,B,E,I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k3_sf_mastr(A) = k2_sf_mastr(k10_xtuple_0(A)) ) )).
fof(d3_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => k3_sfmastr2(A,B,C,D) = k2_scmfsa_9(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(D),k3_sf_mastr(C))),D),k1_scmfsa_m(B)),k4_scmfsa6a(C,k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(D),k3_sf_mastr(C))),k4_scmfsa_2(k5_numbers))),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(D),k3_sf_mastr(C))),A) ) ) ) ) )).
fof(d3_sfmastr3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => k2_sfmastr3(A,B,C,D) = k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,B,C),k3_sf_mastr(D))),C),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,B,C),k3_sf_mastr(D))),B)),k7_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,B,C),k3_sf_mastr(D))),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(A,B)),k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,B,C),k3_sf_mastr(D))),k4_scmfsa6a(k4_scmfsa6a(D,k7_scmfsa_2(A,k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,B,C),k3_sf_mastr(D))),k4_scmfsa_2(k5_numbers))))) ) ) ) ) )).
fof(d3_sgraph1,axiom,( ! [A] : k3_sgraph1(A) = a_1_1_sgraph1(A) )).
fof(d3_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k3_simplex1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & v3_pre_topc(E,B) & r2_tarski(D,k3_convex1(A,k1_simplex1(A,B,E))) ) ) ) ) ) ) )).
fof(d3_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( l1_pre_topc(B) => ( v1_simplex2(B,A) => ! [C] : ( v1_xreal_0(C) => ( ( ~ r1_xboole_0(u1_pre_topc(B),k9_setfam_1(k2_struct_0(A))) => ( C = k1_simplex2(A,B) <=> ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,u1_pre_topc(B)) => r1_xxreal_0(k2_tbsp_1(A,D),C) ) ) & ! [D] : ( v1_xreal_0(D) => ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,u1_pre_topc(B)) => r1_xxreal_0(k2_tbsp_1(A,E),D) ) ) => r1_xxreal_0(C,D) ) ) ) ) ) & ( r1_xboole_0(u1_pre_topc(B),k9_setfam_1(k2_struct_0(A))) => ( C = k1_simplex2(A,B) <=> C = k5_numbers ) ) ) ) ) ) ) )).
fof(d3_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => k2_newton(A) = k8_nat_1(k1_numbers,k2_sin_cos,A) ) )).
fof(d3_sin_cos2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k3_sin_cos2 <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k7_xcmplx_0(k2_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k22_sin_cos,k4_xcmplx_0(B))),2) ) ) ) )).
fof(d3_sin_cos3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k3_sin_cos3 <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k7_xcmplx_0(k6_xcmplx_0(k15_sin_cos(B),k15_sin_cos(k4_xcmplx_0(B))),2) ) ) ) )).
fof(d3_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => k3_sin_cos4(A) = k7_xcmplx_0(1,k17_sin_cos(A)) ) )).
fof(d3_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k3_sin_cos5(A) = k7_xcmplx_0(1,k2_sin_cos2(A)) ) )).
fof(d3_sin_cos6,axiom,( k3_sin_cos6 = k2_partfun2(k1_numbers,k1_numbers,k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(d3_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => k3_sin_cos7(A) = k4_xcmplx_0(k3_power(k4_power,k2_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1))))) ) )).
fof(d3_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => k3_sin_cos9(A) = k1_funct_1(k1_sin_cos9,A) ) )).
fof(d3_sincos10,axiom,( k3_sincos10 = k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(d3_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v2_sppol_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => k17_euclid(B) = k17_euclid(C) ) ) ) ) ) )).
fof(d3_sppol_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_sppol_2(A,B,C,D) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(A,C),k19_euclid(A,D)),k1_rltopsp1(k15_euclid(2),k19_euclid(A,D),k19_euclid(B,D))),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(B,D),k19_euclid(B,C)),k1_rltopsp1(k15_euclid(2),k19_euclid(B,C),k19_euclid(A,C)))) ) ) ) ) )).
fof(d3_sprect_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_jordan1(A) <=> ( k3_subset_1(u1_struct_0(k15_euclid(2)),A) != k1_xboole_0 & ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & k3_subset_1(u1_struct_0(k15_euclid(2)),A) = k4_subset_1(u1_struct_0(k15_euclid(2)),B,C) & r1_xboole_0(B,C) & k7_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),B),B) = k7_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),C),C) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A),B) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A),C) ) ) ) ) ) )).
fof(d3_sprect_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r3_sprect_2(A,B) <=> ( r1_sprect_2(A,B) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) = k9_pscomp_1(k3_topreal1(2,A)) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) = k7_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d3_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_srings_1(B,A) <=> ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ~ ( r1_tarski(D,C) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ~ m1_eqrel_1(E,k6_subset_1(C,D)) ) ) ) ) ) ) )).
fof(d3_stacks_1,axiom,( ! [A] : ( l1_stacks_1(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( r1_stacks_1(A,B) <=> r2_tarski(B,u1_stacks_1(A)) ) ) ) )).
fof(d3_stirl2_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v2_stirl2_1(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k2_relset_1(B,C)) & r2_tarski(E,k2_relset_1(B,C)) & ~ r1_xxreal_0(E,D) & r1_xxreal_0(k3_nat_1(k8_relset_1(A,B,C,k1_seq_4(E))),k3_nat_1(k8_relset_1(A,B,C,k1_seq_4(D)))) ) ) ) ) ) ) ) )).
fof(d3_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => k2_struct_0(A) = u1_struct_0(A) ) )).
fof(d3_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( m2_subset_1(C,k16_substut1(A),k38_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => k6_sublemma(A,B,C) = k21_substut1(A,B,C) ) ) ) ) )).
fof(d3_subset_1,axiom,( ! [A] : k2_subset_1(A) = A )).
fof(d3_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => k4_substlat(A,B,C,D) = a_4_0_substlat(A,B,C,D) ) ) )).
fof(d3_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => ! [D] : ( m2_finseq_1(D,k2_qc_lang1(A)) => ( D = k3_substut1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ( ( r2_tarski(k1_funct_1(B,E),k9_xtuple_0(C)) => k1_funct_1(D,E) = k1_funct_1(C,k1_funct_1(B,E)) ) & ( ~ r2_tarski(k1_funct_1(B,E),k9_xtuple_0(C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k7_substut2(A,B,C,D) = k7_sublemma(A,k2_substut2(A,B,k3_funct_2(k38_substut1(A),k1_substut1(A),k6_substut2(A),k2_substut2(A,k11_cqc_lang(A,C,B),D))),C) ) ) ) ) )).
fof(d3_supinf_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k6_numbers))) ) => ! [B] : ( v2_membered(B) => ( B = k5_supinf_1(A) <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v2_membered(D) & r2_hidden(D,A) & C = k1_xxreal_2(D) ) ) ) ) ) ) )).
fof(d3_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_supinf_2(B,C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_supinf_2(B,C)))) ) => ( F = k13_supinf_2(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,A) => k12_supinf_2(F,G) = k3_supinf_2(k12_supinf_2(D,G),k12_supinf_2(E,G)) ) ) ) ) ) ) ) ) )).
fof(d3_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,F,E) & k3_rlvect_1(A,k1_group_1(A),k1_group_1(A)) != k4_struct_0(A) & ~ ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & ~ r1_orders_2(B,H,E) & ~ r1_orders_2(B,H,C) ) => ( G = k2_symsp_1(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,H,E) & ~ r1_orders_2(B,H,C) & G != k8_group_1(A,k8_group_1(A,k1_symsp_1(A,B,E,F,H),k1_symsp_1(A,B,H,E,C)),k1_symsp_1(A,B,C,H,D)) ) ) ) ) & ( ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,H,E) & ~ r1_orders_2(B,H,C) ) ) => ( G = k2_symsp_1(A,B,C,D,E,F) <=> G = k4_struct_0(A) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k1_t_0topsp(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(E,A) => ( r2_tarski(C,E) <=> r2_tarski(D,E) ) ) ) ) ) ) ) ) ) )).
fof(d3_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k3_t_1topsp(A) = k12_borsuk_1(A,k12_eqrel_1(u1_struct_0(A),k1_t_1topsp(A))) ) )).
fof(d3_tarski,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) <=> ! [C] : ( r2_hidden(C,A) => r2_hidden(C,B) ) ) )).
fof(d3_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( D = k1_taxonom1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( r2_hidden(k4_tarski(E,F),D) <=> r1_xxreal_0(k1_binop_1(B,E,F),C) ) ) ) ) ) ) ) ) )).
fof(d3_taxonom2,axiom,( ! [A] : ( v3_taxonom2(A) <=> ! [B] : ! [C] : ~ ( r2_tarski(B,A) & r2_tarski(C,A) & ~ r1_tarski(B,C) & ~ r1_tarski(C,B) & ~ r1_xboole_0(B,C) ) ) )).
fof(d3_taylor_1,axiom,( k3_taylor_1 = k2_taylor_1(k4_power) )).
fof(d3_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_tbsp_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k1_tbsp_1(A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k3_metric_1(A,k8_nat_1(u1_struct_0(A),B,F),C)) ) ) ) ) ) ) ) ) ) )).
fof(d3_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => k2_tdgroup(A) = g1_analoaf(u1_struct_0(A),k1_tdgroup(A)) ) )).
fof(d3_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)))) ) => ( B = k3_tdlat_1(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_tdlat_1(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_tdlat_1(A)) => k4_binop_1(k1_tdlat_1(A),B,C,D) = k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),C,D))),k9_subset_1(u1_struct_0(A),C,D)) ) ) ) ) ) )).
fof(d3_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v3_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,u1_pre_topc(A)) => r2_tarski(k6_subset_1(u1_struct_0(A),B),u1_pre_topc(A)) ) ) ) ) )).
fof(d3_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r2_termord(A,B,C,D) <=> ( r1_termord(A,B,C,D) & C != D ) ) ) ) ) ) )).
fof(d3_tex_1,axiom,( ! [A] : k2_tex_1(A) = g1_pre_topc(A,k1_tex_1(A)) )).
fof(d3_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tex_2(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(C,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & k9_subset_1(u1_struct_0(A),B,D) = C ) ) ) ) ) ) ) )).
fof(d3_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v3_tex_3(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v2_tops_1(C,A) ) ) ) ) ) )).
fof(d3_tmap_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( l1_struct_0(D) => ( r1_tarski(u1_struct_0(D),u1_struct_0(A)) => k2_tmap_1(A,B,C,D) = k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D)) ) ) ) ) ) )).
fof(d3_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( C = k3_toler_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> m1_toler_1(D,A,B) ) ) ) )).
fof(d3_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_borsuk_6(A,B,C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_topalg_1(A,B,C),k1_topalg_1(A,B,C)))) => ( D = k3_topalg_1(A,B,C) <=> ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ( r2_hidden(k4_tarski(E,F),D) <=> r3_borsuk_2(A,B,C,E,F) ) ) ) ) ) ) ) ) ) )).
fof(d3_topalg_2,axiom,( ! [A] : ( ( v3_topmetr(A) & l1_pre_topc(A) ) => ( v2_topalg_2(A) <=> v6_xxreal_2(k2_struct_0(A)) ) ) )).
fof(d3_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( F = k4_topalg_5(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),F,G) = k1_binop_1(D,E,G) ) ) ) ) ) ) ) ) )).
fof(d3_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ( v3_topalg_6(C,A,B) <=> ? [D] : ( v3_funct_1(D) & m1_borsuk_2(D,A,B,B) & r3_borsuk_2(A,B,B,C,D) ) ) ) ) ) )).
fof(d3_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_topgrp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => k4_topalg_7(A,B,C,D) = k2_topalg_7(u1_struct_0(k5_topmetr),A,C,D) ) ) ) ) )).
fof(d3_topgen_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k2_topgen_1(A,B) <=> ! [D] : ( r2_tarski(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> r1_topgen_1(A,B,D) ) ) ) ) ) ) )).
fof(d3_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( m1_topgen_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_tops_2(k1_funct_1(B,C),A) & v1_yellow_8(k1_funct_1(B,C),A,C) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) )).
fof(d3_topgen_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r1_topgen_3(A,B) <=> ( r2_hidden(B,A) & ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(B,C) & r1_xboole_0(k2_rcomp_1(C,B),A) ) ) ) ) )).
fof(d3_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_topgen_4(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(C,A) => r2_tarski(C,B) ) ) ) ) ) )).
fof(d3_topgen_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( A = k3_topgen_5 <=> ( u1_struct_0(A) = k2_topgen_5 & ? [B] : ( m1_topgen_2(B,A) & ! [C] : ( v1_xreal_0(C) => k1_funct_1(B,k19_euclid(C,k5_numbers)) = a_1_0_topgen_5(C) ) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => k1_funct_1(B,k19_euclid(C,D)) = a_2_0_topgen_5(C,D) ) ) ) ) ) ) ) )).
fof(d3_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ! [C] : ( ( ~ v2_struct_0(C) & v1_metric_1(C) & m1_topmetr(C,k7_metric_1) ) => ( C = k2_topmetr(A,B) <=> ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k7_metric_1))) ) => ( D = k1_rcomp_1(A,B) => C = k1_topmetr(k7_metric_1,D) ) ) ) ) ) ) ) )).
fof(d3_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => k2_topreal1(A,B,C) = k1_rltopsp1(k15_euclid(A),k7_partfun1(u1_struct_0(k15_euclid(A)),B,C),k7_partfun1(u1_struct_0(k15_euclid(A)),B,k1_nat_1(C,1))) ) & ( ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => k2_topreal1(A,B,C) = k1_xboole_0 ) ) ) ) ) )).
fof(d3_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => k3_topreal9(A,B,C) = a_3_2_topreal9(A,B,C) ) ) ) )).
fof(d3_toprealb,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => k5_toprealb(A) = A ) )).
fof(d3_toprealc,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( v1_valued_2(B) => ( B = k2_toprealc(A) <=> ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ( r2_tarski(k30_valued_1(C),B) <=> r2_tarski(C,A) ) ) ) ) ) )).
fof(d3_toprns_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(B))))) ) => k2_toprns_1(A,B,C) = k4_vfunct_1(k4_ordinal1,k15_euclid(B),C,A) ) ) ) )).
fof(d3_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(B,A) <=> k2_pre_topc(A,B) = k2_struct_0(A) ) ) ) )).
fof(d3_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B))))) => ( D = k1_tops_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ( r2_tarski(E,D) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(F,C) & k9_subset_1(u1_struct_0(A),F,B) = E ) ) ) ) ) ) ) ) )).
fof(d3_tops_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_tops_1(B,A) <=> k1_tops_1(A,k2_pre_topc(A,B)) = k1_xboole_0 ) ) ) )).
fof(d3_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( r2_transgeo(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( r2_hidden(k4_tarski(k4_tarski(D,E),k4_tarski(F,G)),C) <=> r2_hidden(k4_tarski(k4_tarski(k3_funct_2(A,A,B,D),k3_funct_2(A,A,B,E)),k4_tarski(k3_funct_2(A,A,B,F),k3_funct_2(A,A,B,G))),C) ) ) ) ) ) ) ) ) ) )).
fof(d3_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_topmetr(A,B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B))))) ) => ( E = k3_treal_1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k4_topmetr(k5_numbers,1))) => k3_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),E,F) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,F),C),k3_xcmplx_0(F,D)) ) ) ) ) ) ) ) ) )).
fof(d3_trees_1,axiom,( ! [A] : ( v1_trees_1(A) <=> ( r1_tarski(A,k3_finseq_2(k4_ordinal1)) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => r1_tarski(k1_trees_1(B),A) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(k7_finseq_1(B,k9_finseq_1(C)),A) & r1_xxreal_0(D,C) ) => r2_tarski(k7_finseq_1(B,k9_finseq_1(D)),A) ) ) ) ) ) ) )).
fof(d3_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( m1_trees_2(B,A) <=> ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r3_xboole_0(C,D) ) ) ) ) ) ) )).
fof(d3_trees_3,axiom,( ! [A] : ( v1_trees_3(A) <=> ! [B] : ( r2_hidden(B,A) => ( ~ v1_xboole_0(B) & v1_trees_1(B) ) ) ) )).
fof(d3_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( C = k3_trees_4(A,B) <=> ( k9_xtuple_0(C) = k2_trees_1(k3_finseq_1(B)) & k1_funct_1(C,k1_xboole_0) = A & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(B),D) => k1_funct_1(C,k14_trees_3(D)) = k1_funct_1(B,k1_nat_1(D,1)) ) ) ) ) ) ) )).
fof(d3_tsep_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ( r1_tsep_1(A,B) <=> r1_xboole_0(u1_struct_0(A),u1_struct_0(B)) ) ) ) )).
fof(d3_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v6_pre_topc(A) <=> ( v2_struct_0(A) | ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r2_tarski(B,D) & ~ r2_tarski(C,D) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & ~ r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) ) ) ) )).
fof(d3_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) => k5_turing_1(A,B) = k3_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),B) ) ) )).
fof(d3_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k4_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k8_margrel1(k9_margrel1(k8_margrel1(B),C)) ) ) ) ) )).
fof(d3_unialg_1,axiom,( ! [A] : ( l1_unialg_1(A) => ( v4_unialg_1(A) <=> ( u1_unialg_1(A) != k1_xboole_0 & v2_relat_1(u1_unialg_1(A)) ) ) ) )).
fof(d3_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m5_margrel1(C,u1_struct_0(A),k1_unialg_2(A)) => ( r2_unialg_2(A,B,C) <=> ! [D] : ( m2_finseq_1(D,B) => ( k3_finseq_1(D) = k18_margrel1(C) => r2_tarski(k1_funct_1(C,D),B) ) ) ) ) ) ) )).
fof(d3_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( B = k3_uniroots(A) <=> ( u1_struct_0(B) = k2_uniroots(A) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(k1_complfld),k2_uniroots(A)) ) ) ) ) )).
fof(d3_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( v1_xreal_0(C) => ( C = k2_uproots(A,B) <=> ? [D] : ( m2_finseq_1(D,k1_numbers) & C = k18_rvsum_1(D) & D = k3_relat_1(k19_finseq_1(k13_pre_poly(B)),B) ) ) ) ) )).
fof(d3_urysohn1,axiom,( k3_urysohn1 = k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k10_prob_1(k5_numbers),k2_urysohn1),k3_limfunc1(1)) )).
fof(d3_urysohn3,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k2_urysohn1) => ! [B] : ( v7_ordinal1(B) => ( B = k1_urysohn3(A) <=> ( ( r2_hidden(A,k1_urysohn1(k5_numbers)) => B = k5_numbers ) & ( B = k5_numbers => r2_hidden(A,k1_urysohn1(k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( r2_hidden(A,k1_urysohn1(k1_nat_1(C,1))) => ( r2_hidden(A,k1_urysohn1(C)) | B = k1_nat_1(C,1) ) ) ) ) ) ) ) ) )).
fof(d3_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [F] : ( m2_finseq_1(F,B) => ( F = k4_valuat_1(A,B,C,D,E) <=> ( k3_finseq_1(F) = C & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,C) ) => k1_funct_1(F,G) = k1_funct_1(E,k1_funct_1(D,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_valued_0,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_valued_0(A) <=> r1_tarski(k10_xtuple_0(A),k1_numbers) ) ) )).
fof(d3_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( v1_xcmplx_0(B) => k13_valued_1(A,B) = k7_valued_1(A,k4_xcmplx_0(B)) ) ) )).
fof(d3_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v3_vectmetr(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_metric_1(A,C,D) = k1_metric_1(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)) ) ) ) ) ) )).
fof(d3_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_vectsp10(A,B,C),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_vectsp10(A,B,C),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)))) ) => ( D = k3_vectsp10(A,B,C) <=> ! [E] : ( m2_subset_1(E,k1_zfmisc_1(u1_struct_0(B)),k2_vectsp10(A,B,C)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(u1_struct_0(B)),k2_vectsp10(A,B,C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( E = k3_vectsp_4(A,B,G,C) & F = k3_vectsp_4(A,B,H,C) ) => k4_binop_1(k2_vectsp10(A,B,C),D,E,F) = k3_vectsp_4(A,B,k3_rlvect_1(B,G,H),C) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( v1_vectsp11(C,A,B) & m1_vectsp11(D,A,B,C) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( m2_vectsp11(E,A,B,C,D) <=> k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) = k3_vectsp_1(A,B,D,E) ) ) ) ) ) ) ) )).
fof(d3_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v2_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k1_algstr_0(A,C,D),B) = k1_algstr_0(A,k6_algstr_0(A,C,B),k6_algstr_0(A,D,B)) ) ) ) ) ) )).
fof(d3_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) ) => ( C = k1_vectsp_4(A,B) <=> u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k4_struct_0(B)) ) ) ) ) )).
fof(d3_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( C = k3_vectsp_5(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v7_vectsp_1(E,A) & m1_vectsp_4(E,A,B) & E = D ) ) ) ) ) )).
fof(d3_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ( C = k2_vectsp_6(A,B) <=> k1_vectsp_6(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(d3_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v2_vectsp_7(C,A,B) <=> ( v1_vectsp_7(C,A,B) & k1_vectsp_7(A,B,C) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) ) ) ) )).
fof(d3_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( E = k3_vfunct_1(A,B,C,D) <=> ( k1_relset_1(A,E) = k9_subset_1(A,k1_relset_1(A,C),k1_relset_1(A,D)) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_relset_1(A,E)) => k7_partfun1(u1_struct_0(B),E,F) = k1_rlvect_1(B,k7_partfun1(u1_struct_0(B),D,F),k1_funct_1(C,F)) ) ) ) ) ) ) ) ) ) )).
fof(d3_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( r1_vfunct_2(A,B,C,D) <=> ? [E] : ( v1_xreal_0(E) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k9_subset_1(A,D,k1_relset_1(A,C))) => r1_xxreal_0(k2_normsp_0(B,k7_partfun1(u1_struct_0(B),C,F)),E) ) ) ) ) ) ) ) )).
fof(d3_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( G = k3_vsdiff_1(A,B,C,D,E,F) <=> ( k1_relset_1(u1_struct_0(C),G) = k2_vsdiff_1(A,C,k4_algstr_0(C,F),k1_relset_1(u1_struct_0(C),E)) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ( r2_tarski(H,k2_vsdiff_1(A,C,k4_algstr_0(C,F),k1_relset_1(u1_struct_0(C),E))) => k1_funct_1(G,H) = k1_funct_1(E,k3_rlvect_1(C,H,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v4_yellow_0(B,k3_waybel10(A)) & m1_yellow_0(B,k3_waybel10(A)) ) => ( B = k4_waybel10(A) <=> ! [C] : ( ( v1_orders_2(C) & m1_yellow_0(C,A) ) => ( m1_subset_1(C,u1_struct_0(B)) <=> ( v7_yellow_0(C,A) & v4_yellow_0(C,A) ) ) ) ) ) ) )).
fof(d3_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_waybel11(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(k1_yellow_0(A,C),B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(E,C) & r1_orders_2(A,D,E) ) => r2_tarski(E,B) ) ) ) ) ) ) ) ) ) )).
fof(d3_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m1_waybel12(C,A,B) <=> B = k4_waybel_0(A,k12_waybel_0(A,C)) ) ) ) ) )).
fof(d3_waybel17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & v6_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( D = k3_waybel17(A,B,C) <=> ( u1_struct_0(D) = k4_ordinal1 & r1_funct_2(u1_struct_0(D),u1_struct_0(A),k4_ordinal1,u1_struct_0(A),u1_waybel_0(A,D),k1_waybel17(u1_struct_0(A),B,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( E = G & F = H ) => ( r1_orders_2(D,E,F) <=> r1_xxreal_0(G,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_waybel18,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( ( v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = k3_waybel18(A,B) <=> ( u1_struct_0(C) = k4_card_3(k12_pralg_1(A,B)) & v1_tops_2(k2_waybel18(A,B),C) & v2_cantor_1(k2_waybel18(A,B),C) & m1_subset_1(k2_waybel18(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) ) ) ) )).
fof(d3_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_waybel_9(A) ) => ( v2_waybel19(A) <=> ( v1_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_waybel19(A),k5_waybel11(A)),A) & v2_cantor_1(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_waybel19(A),k5_waybel11(A)),A) & m1_subset_1(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_waybel19(A),k5_waybel11(A)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(d3_waybel20,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => ( v1_waybel20(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k3_waybel20(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k2_yellow_0(A,k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k2_waybel20(A,B),D)) ) ) ) ) ) ) )).
fof(d3_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_waybel_0(C,A) ) => ( m2_yellow_6(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( m2_waybel21(D,A,B,C) <=> ( r2_relset_1(u1_struct_0(C),u1_struct_0(A),u1_waybel_0(A,C),k1_partfun1(u1_struct_0(C),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),D,u1_waybel_0(A,B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r1_orders_2(C,F,G) => r1_orders_2(B,E,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_waybel22,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B)))) ) => ( D = k2_waybel22(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A))))) => k3_funct_2(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B),D,E) = k1_yellow_0(B,a_4_0_waybel22(A,B,C,E)) ) ) ) ) ) )).
fof(d3_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_waybel23(B,A) <=> v7_yellow_0(k5_yellow_0(A,B),A) ) ) ) )).
fof(d3_waybel24,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( C = k3_waybel24(A,B) <=> ( v4_yellow_0(C,k5_yellow_1(u1_struct_0(A),B)) & m1_yellow_0(C,k5_yellow_1(u1_struct_0(A),B)) & ! [D] : ( r2_tarski(D,u1_struct_0(C)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & D = E & v5_pre_topc(E,A,B) ) ) ) ) ) ) ) )).
fof(d3_waybel25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,C) ) => ! [E] : ( m1_subset_1(E,A) => ( r1_tarski(u1_struct_0(C),u1_struct_0(k5_yellow_1(A,B))) => ! [F] : ( ( ~ v2_struct_0(F) & v4_orders_2(F) & v6_waybel_0(F,B) & v7_waybel_0(F) & l1_waybel_0(F,B) ) => ( F = k2_waybel25(A,B,C,D,E) <=> ( g1_orders_2(u1_struct_0(F),u1_orders_2(F)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) & u1_waybel_0(B,F) = k1_funct_1(k9_funct_6(u1_waybel_0(C,D)),E) ) ) ) ) ) ) ) ) ) )).
fof(d3_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_waybel26(C,A)),u1_struct_0(k1_waybel26(B,A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel26(C,A)),u1_struct_0(k1_waybel26(B,A))))) ) => ( E = k4_waybel26(A,B,C,D) <=> ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(A)) & v5_pre_topc(F,C,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => k1_funct_1(E,F) = k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(A),D,F) ) ) ) ) ) ) ) )).
fof(d3_waybel27,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v3_waybel27(A) <=> ( ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_1(A,B) = k9_funct_6(B) ) ) ) ) ) )).
fof(d3_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( B = k3_waybel28(A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( r2_tarski(C,k5_yellow_6(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) <=> ! [E] : ( m2_yellow_6(E,A,C) => D = k1_waybel11(A,E) ) ) ) ) ) ) ) ) )).
fof(d3_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_yellow_1(u1_pre_topc(k2_borsuk_1(A,B)))),u1_struct_0(k3_waybel24(A,k1_waybel29(k1_yellow_1(u1_pre_topc(B)))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(u1_pre_topc(k2_borsuk_1(A,B)))),u1_struct_0(k3_waybel24(A,k1_waybel29(k1_yellow_1(u1_pre_topc(B)))))))) ) => ( C = k3_waybel29(A,B) <=> ! [D] : ( ( v3_pre_topc(D,k2_borsuk_1(A,B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) => k1_funct_1(C,D) = k6_waybel26(D,u1_struct_0(A)) ) ) ) ) ) )).
fof(d3_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_waybel_9(A) ) => ( v2_waybel30(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_yellow13(C,A,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) => ( v5_yellow_0(k5_yellow_0(A,D),A) & v2_compts_1(D,A) ) ) ) ) ) ) ) )).
fof(d3_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v6_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( D = k1_waybel32(A,B,C) <=> ( g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & r1_funct_2(u1_struct_0(D),u1_struct_0(A),u1_struct_0(B),u1_struct_0(A),u1_waybel_0(A,D),C) ) ) ) ) ) ) )).
fof(d3_waybel34,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k3_waybel34(A,B,C) = C ) ) ) )).
fof(d3_waybel35,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m1_waybel35(C,A,B) <=> ! [D] : ! [E] : ~ ( r2_tarski(D,C) & r2_tarski(E,C) & ~ r2_hidden(k4_tarski(D,E),B) & D != E & ~ r2_hidden(k4_tarski(E,D),B) ) ) ) ) ) )).
fof(d3_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v3_waybel_0(B,A) <=> ! [C] : ( ( v2_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_yellow_0(A,C) => ( C = k1_xboole_0 | r2_tarski(k2_yellow_0(A,C),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(d3_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v2_waybel_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k11_lattice3(A,B,k10_lattice3(A,C,D)) = k10_lattice3(A,k11_lattice3(A,B,C),k11_lattice3(A,B,D)) ) ) ) ) ) )).
fof(d3_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( ( v6_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( D = k3_waybel_2(A,B,C) <=> ( g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = g1_orders_2(u1_struct_0(C),u1_orders_2(C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & F = k1_funct_1(u1_waybel_0(A,C),E) & k1_funct_1(u1_waybel_0(A,D),E) = k11_lattice3(A,B,F) ) ) ) ) ) ) ) ) )).
fof(d3_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_waybel_3(A,B) = a_2_0_waybel_3(A,B) ) ) )).
fof(d3_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v1_waybel_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) => r1_orders_2(A,C,D) ) ) ) ) ) ) )).
fof(d3_waybel_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_waybel_5(A) <=> ( v3_lattice3(A) & ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) => k5_yellow_2(A,k4_waybel_5(A,D)) = k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),C,D))) ) ) ) ) ) ) )).
fof(d3_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B = k10_lattice3(A,C,D) & C != B & D != B ) ) ) ) ) ) )).
fof(d3_waybel_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_waybel_7(B,A) <=> ( v1_subset_1(B,u1_struct_0(A)) & ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,A) & v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(B,C) & B != C & C != u1_struct_0(A) ) ) ) ) ) ) )).
fof(d3_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_waybel_8(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => B = k1_yellow_0(A,k2_waybel_8(A,B)) ) ) ) )).
fof(d3_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_waybel_0(B,A) => ( r1_waybel_9(A,B) <=> r1_yellow_0(A,k2_relset_1(u1_struct_0(A),u1_waybel_0(A,B))) ) ) ) )).
fof(d3_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k3_weddwitt(A) = a_1_0_weddwitt(A) ) )).
fof(d3_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => k3_weierstr(A) = k3_seq_4(k1_weierstr(A)) ) )).
fof(d3_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_wellfnd1(B,A) <=> r1_wellord1(u1_orders_2(A),B) ) ) ) )).
fof(d3_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_wellord1(A,B) <=> ! [C] : ~ ( r1_tarski(C,B) & C != k1_xboole_0 & ! [D] : ~ ( r2_hidden(D,C) & r1_xboole_0(k1_wellord1(A,D),C) ) ) ) ) )).
fof(d3_xboole_0,axiom,( ! [A] : ! [B] : ! [C] : ( C = k2_xboole_0(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,A) | r2_hidden(D,B) ) ) ) )).
fof(d3_xboolean,axiom,( ! [A] : ( v1_xboolean(A) <=> ( A = k1_xboolean | A = k2_xboolean ) ) )).
fof(d3_xtuple_0,axiom,( ! [A] : ( v1_xtuple_0(A) => ! [B] : ( B = k2_xtuple_0(A) <=> ! [C] : ! [D] : ( A = k4_tarski(C,D) => B = D ) ) ) )).
fof(d3_xxreal_0,axiom,( k2_xxreal_0 = k4_tarski(k5_numbers,k1_numbers) )).
fof(d3_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k3_xxreal_1(A,B) = a_2_2_xxreal_1(A,B) ) ) )).
fof(d3_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ( B = k1_xxreal_2(A) <=> ( m1_xxreal_2(B,A) & ! [C] : ( m1_xxreal_2(C,A) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(d3_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( v1_xreal_0(A) => ( B = k2_xxreal_3(A) <=> ? [C] : ( v1_xcmplx_0(C) & A = C & B = k4_xcmplx_0(C) ) ) ) & ( A = k1_xxreal_0 => ( B = k2_xxreal_3(A) <=> B = k2_xxreal_0 ) ) & ~ ( ~ v1_xreal_0(A) & A != k1_xxreal_0 & ~ ( B = k2_xxreal_3(A) <=> B = k1_xxreal_0 ) ) ) ) ) )).
fof(d3_yellow11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_yellow11(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_orders_2(A,B,D) => k10_lattice3(A,B,k11_lattice3(A,C,D)) = k11_lattice3(A,k10_lattice3(A,B,C),D) ) ) ) ) ) ) )).
fof(d3_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_yellow13(C,A,B) => ( v1_yellow13(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> r2_tarski(B,k1_tops_1(A,D)) ) ) ) ) ) ) )).
fof(d3_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r3_yellow16(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & r1_yellow16(A,B,C) ) ) ) ) )).
fof(d3_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) <=> ( u1_struct_0(B) = u1_struct_0(A) & u1_altcat_1(B) = k2_funct_4(u1_altcat_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( F = C & G = D & H = E ) => k4_altcat_1(u1_struct_0(B),u1_altcat_1(B),u2_altcat_1(B),F,G,H) = k1_functor0(k1_binop_1(u1_altcat_1(A),D,C),k1_binop_1(u1_altcat_1(A),E,D),k1_binop_1(u1_altcat_1(A),E,C),k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),E,D,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d3_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => k2_yellow19(A,B) = a_2_1_yellow19(A,B) ) ) )).
fof(d3_yellow20,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( r1_yellow20(A,B) => ! [C] : ( ( v6_altcat_1(C) & l2_altcat_1(C) ) => ( C = k2_yellow20(A,B) <=> ( u1_struct_0(C) = k3_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u1_altcat_1(C) = k1_yellow20(u1_altcat_1(A),u1_altcat_1(B)) & u2_altcat_1(C) = k1_yellow20(u2_altcat_1(A),u2_altcat_1(B)) ) ) ) ) ) ) )).
fof(d3_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v1_yellow21(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( l1_struct_0(C) & B = C & k3_yellow18(A,B) = u1_struct_0(C) ) ) ) ) )).
fof(d3_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v5_orders_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r1_orders_2(A,B,C) & r1_orders_2(A,C,B) ) => B = C ) ) ) ) ) )).
fof(d3_yellow_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_yellow_1(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => l1_orders_2(B) ) ) ) )).
fof(d3_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)))) ) => ( B = k2_yellow_2(A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k1_funct_1(B,C) = k1_yellow_0(A,C) ) ) ) ) )).
fof(d3_yellow_3,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_yellow_3(A) <=> v1_xboole_0(u1_orders_2(A)) ) ) )).
fof(d3_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_yellow_4(A,B,C) = a_3_0_yellow_4(A,B,C) ) ) ) )).
fof(d3_yellow_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_yellow_5(A,B,C) <=> k11_lattice3(A,B,C) != k3_yellow_0(A) ) ) ) ) )).
fof(d3_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v7_waybel_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,B,D) & r1_orders_2(A,C,D) ) ) ) ) ) )).
fof(d3_yellow_8,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_yellow_8(B,A) <=> ( ~ v1_xboole_0(B) & v4_pre_topc(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v4_pre_topc(C,A) & v4_pre_topc(D,A) & B = k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,D) & C != B & D != B ) ) ) ) ) ) ) )).
fof(d3_yellow_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k3_yellow_9(A,B) = k6_waybel_9(k5_yellow_0(A,B),A,k1_yellow_9(A,k5_yellow_0(A,B)),k3_waybel_9(k5_yellow_0(A,B))) ) ) )).
fof(d3_zf_colla,axiom,( ! [A] : ! [B] : ( r2_zf_colla(A,B) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & r1_zf_colla(C,A,B) ) ) )).
fof(d3_zf_fund1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k3_zf_fund1(A) <=> k2_zf_lang(B) = A ) ) ) )).
fof(d3_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k3_zf_lang(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k14_trees_3(k5_numbers),k14_trees_3(A)),k14_trees_3(B)) ) ) )).
fof(d3_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k5_zf_lang1(A,B,C) <=> ( k9_xtuple_0(D) = k4_finseq_1(A) & ! [E] : ( r2_hidden(E,k4_finseq_1(A)) => ( ( k1_funct_1(A,E) = B => k1_funct_1(D,E) = C ) & ( k1_funct_1(A,E) != B => k1_funct_1(D,E) = k1_funct_1(A,E) ) ) ) ) ) ) ) ) ) )).
fof(d3_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( C = k4_zf_model(A,B) <=> ? [D] : ( ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( r2_hidden(k4_tarski(k3_zf_lang(E,F),a_3_0_zf_model(B,E,F)),D) & r2_hidden(k4_tarski(k4_zf_lang(E,F),a_3_1_zf_model(B,E,F)),D) ) ) ) & r2_hidden(k4_tarski(A,C),D) & ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ! [F] : ( r2_hidden(k4_tarski(E,F),D) => ( ( v2_zf_lang(E) => F = a_2_0_zf_model(B,E) ) & ( v3_zf_lang(E) => F = a_2_1_zf_model(B,E) ) & ~ ( v4_zf_lang(E) & ! [G] : ~ ( F = k6_subset_1(k3_zf_model(B),G) & r2_hidden(k4_tarski(k19_zf_lang(E),G),D) ) ) & ~ ( v5_zf_lang(E) & ! [G] : ! [H] : ~ ( F = k3_xboole_0(G,H) & r2_hidden(k4_tarski(k20_zf_lang(E),G),D) & r2_hidden(k4_tarski(k21_zf_lang(E),H),D) ) ) & ~ ( v6_zf_lang(E) & ! [G] : ~ ( F = a_3_2_zf_model(B,E,G) & r2_hidden(k4_tarski(k23_zf_lang(E),G),D) ) ) ) ) ) ) ) ) ) )).
fof(d3_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : k3_zfmisc_1(A,B,C) = k2_zfmisc_1(k2_zfmisc_1(A,B),C) )).
fof(d3_zfmodel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_zfmodel1(A,B) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & r1_tarski(k2_zf_model(C),k2_tarski(k2_zf_lang(3),k2_zf_lang(4))) & r2_zf_model(B,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(C,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & A = k2_zfmodel1(C,B) ) ) ) ) )).
fof(d3_zfrefle1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ( r3_zfrefle1(A,B) <=> ( r1_tarski(A,B) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( r1_zf_model(A,D,C) <=> r1_zf_model(B,k1_zf_lang1(k1_zf_lang,A,B,D),C) ) ) ) ) ) ) ) )).
fof(d3_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_zmodul01(A) ) => ( v3_zmodul01(A) <=> ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_zmodul01(A,D,k2_xcmplx_0(B,C)) = k1_algstr_0(A,k1_zmodul01(A,D,B),k1_zmodul01(A,D,C)) ) ) ) ) ) )).
fof(d3_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => k3_zmodul02(A,B) = k2_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_algstr_0(A),k2_zfmisc_1(k1_zmodul02(A,B),k1_zmodul02(A,B))) ) ) )).
fof(d3_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ( v2_zmodul03(A) <=> ? [B] : ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_zmodul03(B,A) ) ) ) )).
fof(d3_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) => ( B = k3_zmodul04(A) <=> ! [C] : ( v1_int_1(C) => ( C != k5_numbers => r2_relset_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)),B,k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k4_tarski(k4_struct_0(A),C))) ) ) ) ) ) ) )).
fof(d3_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_zmodul05(C,A,B) <=> ! [D] : ( v1_int_1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_zmodul01(A,E,D)) = k1_zmodul01(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),D) ) ) ) ) ) ) )).
fof(d3_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v3_zmodul06(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & v1_zmodul06(B,A) ) ) ) ) )).
fof(d40_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => k38_abcmiz_1(A) = a_1_1_abcmiz_1(A) ) )).
fof(d40_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => k26_aofa_a00(A,B,C) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),4),u4_struct_0(A)),B),k1_xboole_0) ) ) ) )).
fof(d40_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => k25_aofa_l00(A,B,C,D,E,F,G,H) = k1_funct_1(k5_msualg_1(E,k10_subset_1(k1_funct_1(u7_aofa_a00(E),k2_xcmplx_0(A,7)),u4_struct_0(E)),F),k10_finseq_1(H,G)) ) ) ) ) ) ) ) ) )).
fof(d40_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v19_decomp_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(D,B) => r2_tarski(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k20_decomp_1(A)) ) ) ) ) ) ) )).
fof(d40_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( v7_ordinal1(C) => ( C = k38_fomodel1(A,B) <=> ( v14_fomodel1(B,C,A) & ! [D] : ( v7_ordinal1(D) => ( v14_fomodel1(B,D,A) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) )).
fof(d40_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v9_fomodel2(B,A) <=> ! [C] : ( ( v4_fomodel2(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( r2_tarski(C,B) | r2_tarski(k35_fomodel2(A,C),B) ) ) ) ) )).
fof(d40_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k16_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r7_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d40_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_functor0(A,B) <=> ? [C] : ( m2_functor0(C,A,B) & v21_functor0(C,A,B) & v16_functor0(C,A,B) ) ) ) ) )).
fof(d40_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : k40_gate_1(A,B,C,D,E,F,G,H,I) = k11_gate_1(G,H,k38_gate_1(A,B,C,D,E,F,I)) )).
fof(d40_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k28_glib_000(A,B) = k20_glib_000(A,k6_domain_1(k6_glib_000(A),B)) ) ) )).
fof(d40_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k30_modelc_1(A) = k9_funct_2(A,k5_margrel1) ) )).
fof(d40_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => k26_modelc_2(A,B) = B ) ) )).
fof(d40_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => k27_modelc_3(A,B) = a_2_0_modelc_3(A,B) ) ) )).
fof(d40_monoid_0,axiom,( ! [A] : ! [B] : ( ( v15_algstr_0(B) & m2_monoid_0(B,k12_monoid_0(A)) ) => ( B = k15_monoid_0(A) <=> u1_struct_0(B) = k1_funct_2(A,A) ) ) )).
fof(d40_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) ) => ! [D] : ( ( v17_msafree5(D,A,B,C) & m2_finseq_1(D,k3_card_3(B)) ) => ! [E] : ( ( v17_msafree5(E,A,B,C) & m2_finseq_1(E,k3_card_3(B)) ) => ! [F] : ( ( v18_msafree5(F,A,B,C) & m2_finseq_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ! [G] : ( ( v19_msafree5(G,A,B,C,E) & m2_finseq_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( v21_msafree5(G,A,B,C,D,E,F) <=> ! [H] : ( m2_subset_1(H,k4_ordinal1,k4_finseq_1(C)) => ! [I] : ( m2_subset_1(I,k4_ordinal1,k4_finseq_1(C)) => ( k2_xcmplx_0(H,1) = I => k18_msafree5(A,B,k25_msafree5(A,C,I),k26_msafree5(A,B,C,E,I),k28_msafree5(A,B,C,E,G,I),k6_msafree5(A,B,k25_msafree5(A,C,I),k26_msafree5(A,B,C,D,I))) = k18_msafree5(A,B,k25_msafree5(A,C,H),k26_msafree5(A,B,C,E,H),k28_msafree5(A,B,C,E,G,H),k27_msafree5(A,B,C,F,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d40_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ! [C] : ( ( v12_pcs_0(C) & l2_pcs_0(C) ) => ( C = k20_pcs_0(A,B) <=> ( u1_struct_0(C) = k2_xboole_0(k1_tarski(B),u1_struct_0(A)) & u1_orders_2(C) = k2_xboole_0(k2_zfmisc_1(k1_tarski(B),u1_struct_0(C)),u1_orders_2(A)) & u1_pcs_0(C) = k2_xboole_0(k2_xboole_0(k2_zfmisc_1(k1_tarski(B),u1_struct_0(C)),k2_zfmisc_1(u1_struct_0(C),k1_tarski(B))),u1_pcs_0(A)) ) ) ) ) )).
fof(d40_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_qc_lang1(A)) => ( D = k30_qc_lang1(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_qc_lang1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A)))) & D = k8_nat_1(k1_qc_lang1(A),E,C) & k3_funct_2(k4_ordinal1,k1_qc_lang1(A),E,k5_numbers) = B & ! [F] : ( v7_ordinal1(F) => k3_funct_2(k4_ordinal1,k1_qc_lang1(A),E,k1_nat_1(F,1)) = k28_qc_lang1(A,k8_nat_1(k1_qc_lang1(A),E,F)) ) ) ) ) ) ) ) )).
fof(d40_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( v1_xcmplx_0(C) => k47_valued_2(A,B,C) = k41_valued_2(A,B,k5_xcmplx_0(C)) ) ) ) )).
fof(d40_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v25_waybel_0(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattice3(A,B,D) => r1_orders_2(A,D,C) ) ) ) ) ) ) )).
fof(d40_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_zf_lang(A,B) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_xxreal_0(1,C) & k3_finseq_1(D) = C & k1_funct_1(D,1) = A & k1_funct_1(D,C) = B & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(C,E) & ! [F] : ( ( v1_zf_lang(F) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_zf_lang(G) & m2_finseq_1(G,k4_ordinal1) ) => ~ ( k1_funct_1(D,E) = F & k1_funct_1(D,k1_nat_1(E,1)) = G & r1_zf_lang(F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d41_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k12_abcmiz_1(A)) => ( v9_abcmiz_1(B,A) <=> ! [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) => ! [D] : ( m1_abcmiz_1(D,A,k12_abcmiz_1(A)) => B != k31_abcmiz_1(A,k33_abcmiz_1(A),C,D) ) ) ) ) ) )).
fof(d41_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => k27_aofa_a00(A,B,C) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),5),u4_struct_0(A)),B),k1_xboole_0) ) ) ) )).
fof(d41_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => k47_aofa_i00(A,B,C,D,E,F) = k44_aofa_i00(A,B,C,D,k41_aofa_i00(A,B,C,D,E),F) ) ) ) ) ) ) )).
fof(d41_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => k26_aofa_l00(A,B,C,D,E,F,G,H) = k1_funct_1(k5_msualg_1(E,k10_subset_1(k1_funct_1(u7_aofa_a00(E),k2_xcmplx_0(A,8)),u4_struct_0(E)),F),k10_finseq_1(H,G)) ) ) ) ) ) ) ) ) )).
fof(d41_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ! [B] : ( l1_fomodel1(B) => ( v16_fomodel1(B,A) <=> ( r1_relset_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers,u1_fomodel1(A),u1_fomodel1(B)) & k7_fomodel1(A) = k7_fomodel1(B) & k8_fomodel1(A) = k8_fomodel1(B) ) ) ) ) )).
fof(d41_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k40_fomodel2(A) = a_1_2_fomodel2(A) ) )).
fof(d41_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k17_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r8_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d41_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k41_gfacirc1(A,B,C) = k2_circcomb(k2_circcomb(k5_circcomb(k6_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k6_twoscomp,k10_finseq_1(B,C))),k5_circcomb(k6_twoscomp,k10_finseq_1(C,A))) )).
fof(d41_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( ( ( r2_hidden(C,k7_glib_000(A)) & k1_funct_1(k11_glib_000(A),C) = B ) => k29_glib_000(A,B,C) = k1_funct_1(k10_glib_000(A),C) ) & ( ( r2_hidden(C,k7_glib_000(A)) & k1_funct_1(k10_glib_000(A),C) = B ) => ( k1_funct_1(k11_glib_000(A),C) = B | k29_glib_000(A,B,C) = k1_funct_1(k11_glib_000(A),C) ) ) & ~ ( ~ ( r2_hidden(C,k7_glib_000(A)) & k1_funct_1(k11_glib_000(A),C) = B ) & ~ ( r2_hidden(C,k7_glib_000(A)) & k1_funct_1(k10_glib_000(A),C) = B & k1_funct_1(k11_glib_000(A),C) != B ) & k29_glib_000(A,B,C) != B ) ) ) ) )).
fof(d41_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( r2_hidden(B,k30_modelc_1(A)) => k31_modelc_1(A,B) = B ) & ( ~ r2_hidden(B,k30_modelc_1(A)) => k31_modelc_1(A,B) = k8_funcop_1(k5_margrel1,A,k6_margrel1) ) ) ) )).
fof(d41_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k25_modelc_2(A)) => k27_modelc_2(A,B) = B ) ) )).
fof(d41_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => k28_modelc_3(A,B) = a_2_1_modelc_3(A,B) ) ) )).
fof(d41_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( ( v12_pcs_0(B) & l2_pcs_0(B) ) => ( B = k21_pcs_0(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & u1_orders_2(B) = k3_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A)) & u1_pcs_0(B) = k3_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_pcs_0(A)) ) ) ) ) )).
fof(d41_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_qc_lang1(A))) ) => k31_qc_lang1(A,B) = o_1_2_qc_lang1(B) ) & ( ~ ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_qc_lang1(A))) ) => k31_qc_lang1(A,B) = k26_qc_lang1(A) ) ) ) )).
fof(d41_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k51_valued_2(A,B,C) <=> ( k9_xtuple_0(D) = k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) & ! [E] : ( r2_hidden(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k7_valued_1(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) ) ) )).
fof(d41_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r3_zf_lang(A,B) <=> ( r2_zf_lang(A,B) & A != B ) ) ) ) )).
fof(d42_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => k39_abcmiz_1(A) = a_1_2_abcmiz_1(A) ) )).
fof(d42_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_algstr_0(A,B,C) = k6_algstr_0(A,B,k9_algstr_0(A,C)) ) ) ) )).
fof(d42_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => k28_aofa_a00(A,B,C,D) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),6),u4_struct_0(A)),B),k12_finseq_1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C),D)) ) ) ) ) )).
fof(d42_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k48_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k42_aofa_i00(A,B,C,D,F)) ) ) ) ) ) ) )).
fof(d42_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) => ( v24_aofa_l00(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ( r2_tarski(k15_aofa_l00(A,B,C,E,k15_aofa_l00(A,B,C,F,E)),D) & r2_tarski(k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,E,k15_aofa_l00(A,B,C,F,G)),k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,E,F),k15_aofa_l00(A,B,C,E,G))),D) & r2_tarski(k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,k12_aofa_l00(A,B,C,E),k12_aofa_l00(A,B,C,F)),k15_aofa_l00(A,B,C,F,E)),D) & r2_tarski(k15_aofa_l00(A,B,C,E,k14_aofa_l00(A,B,C,E,F)),D) & r2_tarski(k15_aofa_l00(A,B,C,E,k14_aofa_l00(A,B,C,F,E)),D) & r2_tarski(k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,E,G),k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,F,G),k15_aofa_l00(A,B,C,k14_aofa_l00(A,B,C,E,F),G))),D) & r2_tarski(k15_aofa_l00(A,B,C,k13_aofa_l00(A,B,C,E,F),E),D) & r2_tarski(k15_aofa_l00(A,B,C,k13_aofa_l00(A,B,C,E,F),F),D) & r2_tarski(k15_aofa_l00(A,B,C,E,k15_aofa_l00(A,B,C,F,k13_aofa_l00(A,B,C,E,F))),D) & r2_tarski(k15_aofa_l00(A,B,C,k13_aofa_l00(A,B,C,E,k12_aofa_l00(A,B,C,E)),F),D) & r2_tarski(k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,E,F),k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,E,k12_aofa_l00(A,B,C,F)),k12_aofa_l00(A,B,C,E))),D) & r2_tarski(k14_aofa_l00(A,B,C,E,k12_aofa_l00(A,B,C,E)),D) & r2_tarski(k15_aofa_l00(A,B,C,k16_aofa_l00(A,B,C,E,F),k15_aofa_l00(A,B,C,E,F)),D) & r2_tarski(k15_aofa_l00(A,B,C,k16_aofa_l00(A,B,C,E,F),k15_aofa_l00(A,B,C,F,E)),D) & r2_tarski(k15_aofa_l00(A,B,C,k13_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,E,F),k15_aofa_l00(A,B,C,F,E)),k16_aofa_l00(A,B,C,E,F)),D) & r2_tarski(k11_aofa_l00(A,B,C),D) & r2_tarski(k16_aofa_l00(A,B,C,k13_aofa_l00(A,B,C,k11_aofa_l00(A,B,C),E),E),D) & r2_tarski(k16_aofa_l00(A,B,C,k14_aofa_l00(A,B,C,k11_aofa_l00(A,B,C),E),k11_aofa_l00(A,B,C)),D) & ( ( r2_tarski(E,D) & r2_tarski(k15_aofa_l00(A,B,C,E,F),D) ) => r2_tarski(F,D) ) ) ) ) ) ) ) ) ) ) )).
fof(d42_fomodel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fomodel1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_fomodel1(C) & l1_fomodel1(C) ) => ( C = k40_fomodel1(A,B) <=> ( u1_fomodel1(C) = k1_funct_4(k5_relat_1(A,k6_subset_1(k9_xtuple_0(A),k6_domain_1(u1_struct_0(B),u3_struct_0(B)))),u1_fomodel1(B)) & u2_struct_0(C) = u2_struct_0(B) & u3_struct_0(C) = u3_struct_0(B) ) ) ) ) ) )).
fof(d42_fomodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m2_subset_1(C,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [D] : ( v10_fomodel2(D,A,B,C) <=> ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( r2_tarski(E,D) => k25_fomodel2(B,A,C,E) = 1 ) ) ) ) ) ) )).
fof(d42_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k18_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r9_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d42_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k42_gfacirc1(A,B,C) = k3_circcomb(k2_circcomb(k5_circcomb(k6_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k6_twoscomp,k10_finseq_1(B,C))),k5_circcomb(k6_twoscomp,k10_finseq_1(C,A)),k3_circcomb(k5_circcomb(k6_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k6_twoscomp,k10_finseq_1(B,C)),k6_facirc_1(A,B,k6_twoscomp),k6_facirc_1(B,C,k6_twoscomp)),k6_facirc_1(C,A,k6_twoscomp)) )).
fof(d42_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k30_glib_000(A,B) = k1_card_1(k26_glib_000(A,B)) ) ) )).
fof(d42_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k30_modelc_1(A)) => ( C = k32_modelc_1(A,B) <=> ! [D] : ( r2_tarski(D,A) => ( k3_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(A,B),D))) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(A,C),D) = k7_margrel1 ) ) ) ) ) )).
fof(d42_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( v7_ordinal1(C) => k28_modelc_2(A,B,C) = k26_modelc_2(A,k7_nat_1(A,k27_modelc_2(A,B),C)) ) ) )).
fof(d42_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => k29_modelc_3(A,B) = a_2_2_modelc_3(A,B) ) ) )).
fof(d42_monoid_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & m5_monoid_0(B,k12_monoid_0(A),k15_monoid_0(A)) ) => ( B = k17_monoid_0(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_monoid_0(A))) => ( r2_tarski(C,u1_struct_0(B)) <=> ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) ) ) )).
fof(d42_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( m2_msafree5(D,A,B,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v2_funct_1(E) & v1_finseq_1(E) & k10_xtuple_0(E) = a_3_5_msafree5(A,B,C) & k4_finseq_1(D) = k4_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => k1_funct_1(D,F) = k1_funct_1(C,k1_funct_1(E,F)) ) ) ) ) ) ) ) ) )).
fof(d42_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => k22_pcs_0(A,B) = g2_pcs_0(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_yellow_3(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)),k3_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_pcs_0(A),u1_pcs_0(B))) ) ) )).
fof(d42_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k57_valued_2(A,B,C) = k51_valued_2(A,B,k30_valued_1(C)) ) ) ) )).
fof(d42_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( B = k28_zf_lang(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) & D = C & r2_zf_lang(D,A) ) ) ) ) )).
fof(d43_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) <=> r2_tarski(B,k39_abcmiz_1(A)) ) ) )).
fof(d43_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => k29_aofa_a00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),7),u4_struct_0(A)),B),k2_finseq_4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C),D,E)) ) ) ) ) ) )).
fof(d43_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) => ( v25_aofa_l00(G,A,B,C,D,E,F) <=> ! [H] : ( m1_msafree4(H,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_msafree4(I,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ! [L] : ( m1_subset_1(L,k3_card_3(u3_msualg_1(E,F))) => ( ( r2_tarski(J,k1_funct_1(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),K)) & r2_tarski(L,k1_funct_1(u3_msualg_1(E,F),K)) ) => ! [M] : ( m1_subset_1(M,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ( J = M => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,u1_aofa_l00(E),H,M,L)),G) ) ) ) ) & ( r2_tarski(J,k1_msafree4(u1_struct_0(B),D,K)) => ( r2_hidden(J,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),H),K)) | r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),k15_aofa_l00(A,E,F,H,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) & r2_tarski(k16_aofa_l00(A,E,F,k12_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J)),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),J)),G) & r2_tarski(k16_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),J),k12_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J))),G) & ( r2_tarski(H,G) => r2_tarski(k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d43_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v4_funct_1(B) => k41_fomodel1(A,B) = k40_fomodel1(k8_funcop_1(k4_ordinal1,k23_fomodel0(k2_xboole_0(k15_fomodel1(A),k21_fomodel0(B))),k5_numbers),A) ) ) )).
fof(d43_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k19_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r10_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d43_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k43_gfacirc1(A,B,C) = k2_circcomb(k41_gfacirc1(A,B,C),k5_circcomb(k18_twoscomp,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)))) )).
fof(d43_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k31_glib_000(A,B) = k1_card_1(k27_glib_000(A,B)) ) ) )).
fof(d43_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( B = k33_modelc_1(A) <=> ! [C] : ( r2_hidden(C,k30_modelc_1(A)) => k1_funct_1(B,C) = k32_modelc_1(A,C) ) ) ) ) )).
fof(d43_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k25_modelc_2(A)) => ! [C] : ( v7_ordinal1(C) => k29_modelc_2(A,B,C) = k28_modelc_2(A,B,C) ) ) ) )).
fof(d43_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => k30_modelc_3(A) = a_1_1_modelc_3(A) ) )).
fof(d43_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => k23_pcs_0(A,B) = k22_pcs_0(k21_pcs_0(A),B) ) ) )).
fof(d43_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k62_valued_2(A,B,C) <=> ( k9_xtuple_0(D) = k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) & ! [E] : ( r2_hidden(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k24_valued_1(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) ) ) )).
fof(d44_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => ! [C] : ( ( v8_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => k43_abcmiz_1(A,B,C) = k4_tarski(k2_xboole_0(k6_domain_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C),k41_abcmiz_1(A,B)),k42_abcmiz_1(A,B)) ) ) ) )).
fof(d44_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => k30_aofa_a00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),8),u4_struct_0(A)),B),k2_finseq_4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C),D,E)) ) ) ) ) ) )).
fof(d44_fomodel1,axiom,( ! [A] : ( l4_struct_0(A) => ( v6_struct_0(A) <=> u2_struct_0(A) = u3_struct_0(A) ) ) )).
fof(d44_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v12_fomodel2(B,A) <=> ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(A,C)) => ! [E] : ( v10_fomodel2(E,C,A,D) => ! [F] : ( ( v4_fomodel2(F,A) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( r2_hidden(k4_tarski(E,F),B) => k25_fomodel2(A,C,D,F) = 1 ) ) ) ) ) ) ) )).
fof(d44_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k20_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r11_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d44_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k44_gfacirc1(A,B,C) = k3_circcomb(k41_gfacirc1(A,B,C),k5_circcomb(k18_twoscomp,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp))),k42_gfacirc1(A,B,C),k7_facirc_1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp),k18_twoscomp)) )).
fof(d44_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k34_glib_000(A,B) = k1_card_2(k30_glib_000(A,B),k31_glib_000(A,B)) ) ) )).
fof(d44_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( r2_hidden(D,A) => ( ! [E] : ( m1_modelc_1(E,A,B) => ~ ( k3_funct_2(k4_ordinal1,A,E,k5_numbers) = D & k3_funct_2(A,k5_margrel1,C,k3_funct_2(k4_ordinal1,A,E,1)) = k7_margrel1 ) ) | k34_modelc_1(A,B,C,D) = k7_margrel1 ) ) & ( ~ ( r2_hidden(D,A) & ? [E] : ( m1_modelc_1(E,A,B) & k3_funct_2(k4_ordinal1,A,E,k5_numbers) = D & k3_funct_2(A,k5_margrel1,C,k3_funct_2(k4_ordinal1,A,E,1)) = k7_margrel1 ) ) => k34_modelc_1(A,B,C,D) = k6_margrel1 ) ) ) ) ) )).
fof(d44_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k30_modelc_1(k25_modelc_2(A))) => ( C = k30_modelc_2(A,B) <=> ! [D] : ( r2_tarski(D,k25_modelc_2(A)) => ( k3_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(k25_modelc_2(A),B),D))) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A),C),D) = k7_margrel1 ) ) ) ) ) )).
fof(d44_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => k31_modelc_3(A) = k1_tarski(k11_modelc_3(A)) ) )).
fof(d44_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k68_valued_2(A,B,C) = k62_valued_2(A,B,k35_valued_1(C)) ) ) ) )).
fof(d45_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k9_setfam_1(k1_funct_1(B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k9_setfam_1(k1_funct_1(B,C))))) ) => ( D = k44_abcmiz_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k9_setfam_1(k1_funct_1(B,C)),D,E) = k1_funct_1(k2_msafree3(A,E),C) ) ) ) ) ) ) )).
fof(d45_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => k31_aofa_a00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),9),u4_struct_0(A)),B),k2_finseq_4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C),D,E)) ) ) ) ) ) )).
fof(d45_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k51_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k43_aofa_i00(A,B,C,D,F)) ) ) ) ) ) ) )).
fof(d45_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( B = k21_fomodel4(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => ! [D] : ( m1_subset_1(D,k1_fomodel4(A)) => ( r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A),C,D),B) <=> r12_fomodel4(C,A,D) ) ) ) ) ) ) )).
fof(d45_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k45_gfacirc1(A,B,C) = k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)),k18_twoscomp) )).
fof(d45_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k35_glib_000(A,B) = k1_nat_1(k32_glib_000(A,B),k33_glib_000(A,B)) ) ) )).
fof(d45_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ( m1_subset_1(D,k30_modelc_1(A)) => ( D = k35_modelc_1(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => ( k34_modelc_1(A,B,k31_modelc_1(A,C),E) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(A,D),E) = k7_margrel1 ) ) ) ) ) ) )).
fof(d45_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ( B = k31_modelc_2(A) <=> ! [C] : ( r2_hidden(C,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B,C) = k30_modelc_2(A,C) ) ) ) ) )).
fof(d45_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => k32_modelc_3(A,B) = a_2_3_modelc_3(A,B) ) ) )).
fof(d45_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( v1_valued_2(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k72_valued_2(A,B,C,D) <=> ( k9_xtuple_0(E) = k3_xboole_0(k9_xtuple_0(C),k9_xtuple_0(D)) & ! [F] : ( r2_hidden(F,k9_xtuple_0(E)) => k1_funct_1(E,F) = k1_valued_1(k1_funct_1(C,F),k1_funct_1(D,F)) ) ) ) ) ) ) ) ) )).
fof(d46_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => k45_abcmiz_1(A,B) = k1_funct_1(k2_msafree3(A,B),k14_abcmiz_1(A)) ) ) )).
fof(d46_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => k32_aofa_a00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),10),u4_struct_0(A)),B),k2_finseq_4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C),D,E)) ) ) ) ) ) )).
fof(d46_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) => ( v28_aofa_l00(G,A,B,C,D,E,F) <=> ( ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(B,C))) => r2_tarski(k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,H),G) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ! [I] : ( m1_msafree4(I,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),H)) => ! [J] : ( m1_msafree4(J,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),H)) => ! [K] : ( m1_subset_1(K,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ( r2_tarski(K,k1_funct_1(D,H)) => ( ! [L] : ( m1_subset_1(L,u1_struct_0(E)) => ( r2_tarski(L,u1_struct_0(B)) => ! [M] : ( m1_msafree4(M,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),L)) => r2_tarski(k15_aofa_l00(A,E,F,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J),k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,L,M,K,I),k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,L,M,K,J))),G) ) ) ) & ! [L] : ( m1_subset_1(L,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => r2_tarski(k15_aofa_l00(A,E,F,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J),k15_aofa_l00(A,E,F,k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,u1_aofa_l00(E),L,K,I),k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,u1_aofa_l00(E),L,K,J))),G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d46_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k46_gfacirc1(A,B,C) = k8_facirc_1(A,B,C,k1_facirc_1) )).
fof(d46_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k36_glib_000(A,B) = k7_relset_1(k7_glib_000(A),k6_glib_000(A),k10_glib_000(A),k26_glib_000(A,B)) ) ) )).
fof(d46_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( C = k36_modelc_1(A,B) <=> ! [D] : ( r2_hidden(D,k30_modelc_1(A)) => k1_funct_1(C,D) = k35_modelc_1(A,B,D) ) ) ) ) ) )).
fof(d46_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k25_modelc_2(A),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A),k5_margrel1))) ) => ! [C] : ( ( ( m1_subset_1(C,k25_modelc_2(A)) & k3_funct_2(k25_modelc_2(A),k5_margrel1,B,k28_modelc_2(A,C,1)) = k7_margrel1 ) => k32_modelc_2(A,B,C) = k7_margrel1 ) & ( ~ ( m1_subset_1(C,k25_modelc_2(A)) & k3_funct_2(k25_modelc_2(A),k5_margrel1,B,k28_modelc_2(A,C,1)) = k7_margrel1 ) => k32_modelc_2(A,B,C) = k6_margrel1 ) ) ) ) )).
fof(d46_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => k33_modelc_3(A) = a_1_2_modelc_3(A) ) )).
fof(d46_pcs_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( C = k24_pcs_0(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_tarski(D,B) & r2_tarski(E,B) & ! [F] : ~ ( r2_tarski(F,D) & ! [G] : ~ ( r2_tarski(G,E) & r2_hidden(k4_tarski(F,G),u1_orders_2(A)) ) ) ) ) ) ) ) )).
fof(d46_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( v1_valued_2(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k78_valued_2(A,B,C,D) <=> ( k9_xtuple_0(E) = k3_xboole_0(k9_xtuple_0(C),k9_xtuple_0(D)) & ! [F] : ( r2_hidden(F,k9_xtuple_0(E)) => k1_funct_1(E,F) = k45_valued_1(k1_funct_1(C,F),k1_funct_1(D,F)) ) ) ) ) ) ) ) ) )).
fof(d47_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => k46_abcmiz_1(A,B) = k1_abcmiz_1(k45_abcmiz_1(A,B)) ) ) )).
fof(d47_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),C)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),C)) => k33_aofa_a00(A,B,C,D,E) = k29_aofa_a00(A,B,C,D,k28_aofa_a00(A,B,C,E)) ) ) ) ) ) )).
fof(d47_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => k53_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k33_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),F)) ) ) ) ) ) ) )).
fof(d47_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) => ( v29_aofa_l00(H,A,B,C,D,E,F,G) <=> ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ( ! [K] : ( m1_subset_1(K,u1_struct_0(F)) => ( r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,k13_aofa_l00(A,E,F,I,J),K),k13_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,I,K),k24_aofa_l00(A,B,C,D,E,F,J,K))),H) & r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,k14_aofa_l00(A,E,F,I,J),K),k14_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,I,K),k24_aofa_l00(A,B,C,D,E,F,J,K))),H) & r2_tarski(k16_aofa_l00(A,E,F,k25_aofa_l00(A,B,C,D,E,F,I,K),k14_aofa_l00(A,E,F,I,k25_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,I,K),K))),H) & r2_tarski(k16_aofa_l00(A,E,F,k26_aofa_l00(A,B,C,D,E,F,I,K),k13_aofa_l00(A,E,F,I,k26_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,I,K),K))),H) & ( r2_tarski(k15_aofa_l00(A,E,F,I,J),H) => ( r2_tarski(k15_aofa_l00(A,E,F,k25_aofa_l00(A,B,C,D,E,F,I,K),k25_aofa_l00(A,B,C,D,E,F,J,K)),H) & r2_tarski(k15_aofa_l00(A,E,F,k26_aofa_l00(A,B,C,D,E,F,I,K),k26_aofa_l00(A,B,C,D,E,F,J,K)),H) ) ) ) ) & ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ! [L] : ( m1_msafree4(L,u1_struct_0(B),D,k1_msafree4(u1_struct_0(B),D,K)) => ! [M] : ( m1_subset_1(M,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ( L = M => ! [N] : ( m1_msafree4(N,u1_struct_0(B),u3_msualg_1(B,C),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),K)) => ! [O] : ( m1_subset_1(O,k3_card_3(u3_msualg_1(E,F))) => ( O = N => ( r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,I,k11_aofa_a00(B,C,D,F,K,L,N)),k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,u1_aofa_l00(E),I,M,O)),H) & ! [P] : ( m1_msafree4(P,u1_struct_0(B),D,k1_msafree4(u1_struct_0(B),D,K)) => ( ~ r2_hidden(P,k1_msafree4(u1_struct_0(B),k10_aofa_a00(B,C,K,N),K)) => ! [Q] : ( m1_subset_1(Q,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ( P = Q => r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,L),k11_aofa_a00(B,C,D,F,K,L,N)),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,k6_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,u1_aofa_l00(E),I,M,Q),k11_aofa_a00(B,C,D,F,K,P,k9_aofa_l00(u1_struct_0(B),u3_msualg_1(B,C),D,K,L))),k11_aofa_a00(B,C,D,F,K,L,N)),P)),H) ) ) ) ) & r2_tarski(k15_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,I,k11_aofa_a00(B,C,D,F,K,L,N)),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,L)),H) ) ) ) ) ) ) ) ) & ! [K] : ( m1_subset_1(K,u1_struct_0(F)) => ! [L] : ( m1_subset_1(L,u1_struct_0(F)) => ! [M] : ( m1_subset_1(M,u1_struct_0(F)) => ( r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,I,k13_aofa_000(F,K,L)),k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,I,L),K)),H) & r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,I,k14_aofa_000(F,K,L,M)),k14_aofa_l00(A,E,F,k13_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,G,K),k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,I,L),K)),k13_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,k12_aofa_l00(A,E,F,G),K),k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,I,M),K)))),H) & r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,I,k16_aofa_000(F,K,L)),k14_aofa_l00(A,E,F,k13_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,k12_aofa_l00(A,E,F,G),K),I),k13_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,G,K),k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,I,k16_aofa_000(F,K,L)),L),K)))),H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d47_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ! [C] : ( m2_funct_2(C,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) => ( C = k23_fomodel4(A,B) <=> ! [D] : ( r2_tarski(D,k9_setfam_1(k1_fomodel4(A))) => k1_funct_1(C,D) = a_3_1_fomodel4(A,B,D) ) ) ) ) ) )).
fof(d47_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k47_gfacirc1(A,B,C) = k10_facirc_1(A,B,C,k1_facirc_1) )).
fof(d47_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k37_glib_000(A,B) = k7_relset_1(k7_glib_000(A),k6_glib_000(A),k11_glib_000(A),k27_glib_000(A,B)) ) ) )).
fof(d47_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( r2_tarski(D,A) => ( ! [E] : ( m1_modelc_1(E,A,B) => ~ ( k3_funct_2(k4_ordinal1,A,E,k5_numbers) = D & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(A,k5_margrel1,C,k3_funct_2(k4_ordinal1,A,E,F)) = k7_margrel1 ) ) ) | k37_modelc_1(A,B,C,D) = k7_margrel1 ) ) & ( ~ ( r2_tarski(D,A) & ? [E] : ( m1_modelc_1(E,A,B) & k3_funct_2(k4_ordinal1,A,E,k5_numbers) = D & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(A,k5_margrel1,C,k3_funct_2(k4_ordinal1,A,E,F)) = k7_margrel1 ) ) ) => k37_modelc_1(A,B,C,D) = k6_margrel1 ) ) ) ) ) )).
fof(d47_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k30_modelc_1(k25_modelc_2(A))) => ( C = k33_modelc_2(A,B) <=> ! [D] : ( r2_tarski(D,k25_modelc_2(A)) => ( k32_modelc_2(A,k31_modelc_1(k25_modelc_2(A),B),D) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A),C),D) = k7_margrel1 ) ) ) ) ) )).
fof(d47_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => k34_modelc_3(A) = g2_modelc_3(k43_modelc_2,k23_modelc_3(A),k30_modelc_3(A),k31_modelc_3(A),k33_modelc_3(A)) ) )).
fof(d47_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( C = k25_pcs_0(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_tarski(D,B) & r2_tarski(E,B) & ! [F] : ! [G] : ( ( r2_tarski(F,D) & r2_tarski(G,E) ) => r2_hidden(k4_tarski(F,G),u1_pcs_0(A)) ) ) ) ) ) ) )).
fof(d47_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( v1_valued_2(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k83_valued_2(A,B,C,D) <=> ( k9_xtuple_0(E) = k3_xboole_0(k9_xtuple_0(C),k9_xtuple_0(D)) & ! [F] : ( r2_hidden(F,k9_xtuple_0(E)) => k1_funct_1(E,F) = k18_valued_1(k1_funct_1(C,F),k1_funct_1(D,F)) ) ) ) ) ) ) ) ) )).
fof(d48_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => k47_abcmiz_1(A,B) = k2_xboole_0(k5_setfam_1(k1_funct_1(k28_abcmiz_1(A),k14_abcmiz_1(A)),k7_relset_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k9_setfam_1(k1_funct_1(k28_abcmiz_1(A),k14_abcmiz_1(A))),k44_abcmiz_1(A,k28_abcmiz_1(A),k14_abcmiz_1(A)),k41_abcmiz_1(A,B))),k45_abcmiz_1(A,k42_abcmiz_1(A,B))) ) ) )).
fof(d48_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),C)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),C)) => k34_aofa_a00(A,B,C,D,E) = k29_aofa_a00(A,B,C,D,k28_aofa_a00(A,B,C,k30_aofa_a00(A,B,C,k31_aofa_a00(A,B,C,D,E),E))) ) ) ) ) ) )).
fof(d48_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => k54_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k34_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),F)) ) ) ) ) ) ) )).
fof(d48_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k24_fomodel4(A) = k23_fomodel4(A,k10_fomodel4(A)) ) )).
fof(d48_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k48_gfacirc1(A,B,C) = k9_facirc_1(A,B,C,k1_facirc_1) )).
fof(d48_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k38_glib_000(A,B) = k4_subset_1(k6_glib_000(A),k36_glib_000(A,B),k37_glib_000(A,B)) ) ) )).
fof(d48_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ( m1_subset_1(D,k30_modelc_1(A)) => ( D = k38_modelc_1(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => ( k37_modelc_1(A,B,k31_modelc_1(A,C),E) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(A,D),E) = k7_margrel1 ) ) ) ) ) ) )).
fof(d48_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ( B = k34_modelc_2(A) <=> ! [C] : ( r2_hidden(C,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B,C) = k33_modelc_2(A,C) ) ) ) ) )).
fof(d48_modelc_3,axiom,( ! [A] : ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) => ! [B] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) => ! [D] : ( ( v1_modelc_3(D,B) & l1_modelc_3(D,B) ) => ( r8_modelc_2(A,k14_modelc_3(B,D)) => ( v3_modelc_3(D,B) | ! [E] : ( v7_ordinal1(E) => ( E = k35_modelc_3(A,B,C,D) <=> ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => ( ~ v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(A,B,C),F),D),B),B) & r4_modelc_3(B,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(A,B,C),F),D),B),k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(A,B,C),k1_nat_1(F,1)),D),B)) ) ) ) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(A,B,C),E),D),B),B) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => r8_modelc_2(A,k14_modelc_3(B,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(A,B,C),F),D),B))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d48_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : k26_pcs_0(A,B) = g2_pcs_0(B,k24_pcs_0(A,B),k25_pcs_0(A,B)) ) )).
fof(d48_valued_2,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( v1_valued_2(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k89_valued_2(A,B,C,D) <=> ( k9_xtuple_0(E) = k3_xboole_0(k9_xtuple_0(C),k9_xtuple_0(D)) & ! [F] : ( r2_hidden(F,k9_xtuple_0(E)) => k1_funct_1(E,F) = k50_valued_1(k1_funct_1(C,F),k1_funct_1(D,F)) ) ) ) ) ) ) ) ) )).
fof(d49_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => k48_abcmiz_1(A,B) = k1_abcmiz_1(k47_abcmiz_1(A,B)) ) ) )).
fof(d49_aofa_a00,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v16_aofa_a00(C) & l6_aofa_a00(C) ) => ! [D] : ( ( v17_aofa_a00(D,C) & l3_msualg_1(D,C) ) => ( v20_aofa_a00(D,A,B,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & E = B & r1_aofa_a00(C,k1_funct_1(u7_aofa_a00(C),A),k1_xboole_0,E) & k1_msafree4(u1_struct_0(C),u3_msualg_1(C,D),E) = k4_numbers & k1_funct_1(k5_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),A),u4_struct_0(C)),D),k1_xboole_0) = k5_numbers & k1_funct_1(k5_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,1)),u4_struct_0(C)),D),k1_xboole_0) = 1 & ! [F] : ( v1_int_1(F) => ! [G] : ( v1_int_1(G) => ( k1_funct_1(k5_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,2)),u4_struct_0(C)),D),k9_finseq_1(F)) = k4_xcmplx_0(F) & k1_funct_1(k5_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,3)),u4_struct_0(C)),D),k10_finseq_1(F,G)) = k2_xcmplx_0(F,G) & k1_funct_1(k5_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,4)),u4_struct_0(C)),D),k10_finseq_1(F,G)) = k3_xcmplx_0(F,G) & ( G != k5_numbers => k1_funct_1(k5_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,5)),u4_struct_0(C)),D),k10_finseq_1(F,G)) = k4_int_1(F,G) ) & k1_funct_1(k5_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,6)),u4_struct_0(C)),D),k10_finseq_1(F,G)) = k5_xxreal_0(F,G,k6_margrel1,k7_margrel1) ) ) ) ) ) ) ) ) )).
fof(d49_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => k55_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k36_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),F)) ) ) ) ) ) ) )).
fof(d49_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k25_fomodel4(A) = k23_fomodel4(A,k11_fomodel4(A)) ) )).
fof(d49_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k49_gfacirc1(A,B,C) = k2_circcomb(k46_gfacirc1(A,B,C),k43_gfacirc1(A,B,C)) )).
fof(d49_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( v10_glib_000(B,A) <=> k28_glib_000(A,B) = k1_xboole_0 ) ) ) )).
fof(d49_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( C = k39_modelc_1(A,B) <=> ! [D] : ( r2_hidden(D,k30_modelc_1(A)) => k1_funct_1(C,D) = k38_modelc_1(A,B,D) ) ) ) ) ) )).
fof(d49_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ( D = k35_modelc_2(A,B,C) <=> ! [E] : ( r2_tarski(E,k25_modelc_2(A)) => ( k4_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(k25_modelc_2(A),B),E)),k4_modelc_1(k1_funct_1(k31_modelc_1(k25_modelc_2(A),C),E))) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A),D),E) = k7_margrel1 ) ) ) ) ) )).
fof(d49_modelc_3,axiom,( ! [A] : ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) => ! [B] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) => ! [D] : ( ( v1_modelc_3(D,B) & l1_modelc_3(D,B) ) => ( r8_modelc_2(A,k14_modelc_3(B,k12_modelc_3(B,D))) => ( ( ~ v3_modelc_3(k12_modelc_3(B,D),B) => k36_modelc_3(A,B,C,D) = k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(A,B,C),k35_modelc_3(A,B,C,k12_modelc_3(B,D))),k12_modelc_3(B,D)),B) ) & ( v3_modelc_3(k12_modelc_3(B,D),B) => k36_modelc_3(A,B,C,D) = k9_modelc_3(B) ) ) ) ) ) ) ) )).
fof(d49_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => k27_pcs_0(A) = a_1_0_pcs_0(A) ) )).
fof(d4_abcmiz_0,axiom,( ! [A] : ( l1_abcmiz_0(A) => ( v4_abcmiz_0(A) <=> v1_xboole_0(u1_abcmiz_0(A)) ) ) )).
fof(d4_abcmiz_1,axiom,( k6_abcmiz_1 = k5_numbers )).
fof(d4_abian,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_abian(A,B,C) <=> B = k3_funct_2(A,A,C,B) ) ) ) ) )).
fof(d4_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_absred_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_absred_0(A,B,D) & r3_absred_0(A,D,C) ) ) ) ) ) )).
fof(d4_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ( A = k6_aescip_1 <=> ! [B] : ( m2_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(4)) & ! [D] : ( m2_finseq_2(D,k4_finseq_2(8,k5_margrel1),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))) => ~ ( D = k1_funct_1(B,C) & k1_funct_1(k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),A,B),C) = k8_descip_1(k4_finseq_2(8,k5_margrel1),D,k6_xcmplx_0(5,C)) ) ) ) ) ) ) ) )).
fof(d4_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_aff_1(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & E != F & D = k2_aff_1(A,E,F) & r2_analoaf(A,B,C,E,F) ) ) ) ) ) ) ) )).
fof(d4_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v4_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_hidden(E,B) & r2_hidden(E,C) & r2_hidden(E,D) & r2_hidden(F,B) & r2_hidden(I,B) & r2_hidden(G,C) & r2_hidden(J,C) & r2_hidden(H,D) & r2_hidden(K,D) & v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_analoaf(A,F,G,I,J) & r2_analoaf(A,F,H,I,K) ) => ( E = F | E = G | E = H | B = C | B = D | r2_analoaf(A,G,H,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v4_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,B) & r2_hidden(H,C) & r2_hidden(I,C) & r2_hidden(E,D) & r2_hidden(J,D) & r2_hidden(K,D) & r1_aff_1(A,H,F,L) & r1_aff_1(A,I,G,L) & r1_aff_1(A,H,J,M) & r1_aff_1(A,I,K,M) & r2_analoaf(A,F,J,G,K) & r2_analoaf(A,F,J,L,M) ) => ( C = B | C = D | B = D | E = F | E = H | E = J | L = M | r1_aff_1(A,H,F,J) | r1_aff_1(A,I,G,K) | H = I | F = G | r2_hidden(E,C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_aff_4(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(D,C) & v1_aff_1(E,A) & r1_tarski(E,B) ) => r1_tarski(k2_aff_4(A,D,E),C) ) ) ) ) ) ) ) )).
fof(d4_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k5_afinsq_1(A) <=> ( k9_xtuple_0(B) = 1 & k1_funct_1(B,k5_numbers) = A ) ) ) )).
fof(d4_afinsq_2,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( B = k4_afinsq_2(A) <=> ( k2_relset_1(k4_ordinal1,B) = A & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(D,C) & ~ r1_xxreal_0(k1_afinsq_1(B),D) & E = k1_recdef_1(B,C) & F = k1_recdef_1(B,D) & r1_xxreal_0(F,E) ) ) ) ) ) ) ) ) ) )).
fof(d4_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k4_afproj(A) = a_1_3_afproj(A) ) )).
fof(d4_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k1_afvect0(A,B,C) <=> r2_afvect0(A,C,B,D) ) ) ) ) ) )).
fof(d4_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r4_alg_1(A,B,C) <=> ( r2_alg_1(A,B,C) & r3_alg_1(A,B,C) ) ) ) ) ) )).
fof(d4_algspec1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_algspec1(A,B,C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v1_msualg_1(D) & l1_msualg_1(D) ) => ( D = k2_algspec1(A,B,C) <=> ( r3_pua2mss1(A,D,k1_algspec1(u1_struct_0(A),B),k1_algspec1(u4_struct_0(A),C)) & u1_struct_0(D) = k10_xtuple_0(k1_algspec1(u1_struct_0(A),B)) & u4_struct_0(D) = k10_xtuple_0(k1_algspec1(u4_struct_0(A),C)) ) ) ) ) ) ) ) )).
fof(d4_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_algstr_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_algstr_0(A,C,B) = k1_algstr_0(A,D,B) => C = D ) ) ) ) ) ) )).
fof(d4_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v3_algstr_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k1_algstr_0(A,B,D) = C ) ) ) ) ) )).
fof(d4_altcat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,A)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k3_zfmisc_1(A,A,A)) & v1_funct_1(D) & v1_partfun1(D,k3_zfmisc_1(A,A,A)) ) => ( D = k3_altcat_1(A,B,C) <=> ! [E] : ! [F] : ! [G] : ( ( r2_hidden(E,A) & r2_hidden(F,A) & r2_hidden(G,A) ) => k1_multop_1(D,E,F,G) = k2_zfmisc_1(k1_binop_1(C,F,G),k1_binop_1(B,E,F)) ) ) ) ) ) )).
fof(d4_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m2_pboole(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_altcat_1(u1_struct_0(A),k2_altcat_2(A),k2_altcat_2(A)),k2_altcat_1(u1_struct_0(A),k2_altcat_2(A))) => ( B = k3_altcat_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k4_altcat_1(u1_struct_0(A),k2_altcat_2(A),B,C,D,E) = k2_partfun1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)),u4_struct_0(A),u1_cat_1(A),k2_zfmisc_1(k1_binop_1(k2_altcat_2(A),D,E),k1_binop_1(k2_altcat_2(A),C,D))) ) ) ) ) ) ) )).
fof(d4_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,B) != k1_xboole_0 & ? [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) & v1_altcat_3(D,A,B,C) & v2_altcat_3(D,A,B,C) & ~ ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,B)) => ( E = k1_altcat_3(A,B,C,D) <=> ( r1_altcat_3(A,C,B,E,D) & r1_altcat_3(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(d4_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & m1_altcat_2(B,A) ) => ( B = k4_altcat_4(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,D)) => ( r2_tarski(E,k1_binop_1(u1_altcat_1(B),C,D)) <=> ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & v2_altcat_3(E,A,C,D) ) ) ) ) ) ) ) ) ) )).
fof(d4_altcat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_altcat_5(E,A,D,B,C) => ( v2_altcat_5(E,A,B,C,D) <=> ! [F] : ~ ( r2_tarski(F,B) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( G = k1_funct_1(C,F) & r2_tarski(k1_funct_1(E,F),k1_altcat_1(A,D,G)) ) ) ) ) ) ) ) ) )).
fof(d4_altcat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_altcat_6(E,A,D,B,C) => ( v1_altcat_6(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,B) => r2_tarski(k1_altcat_6(A,D,B,C,E,F),k1_altcat_1(A,k3_funct_2(B,u1_struct_0(A),C,F),D)) ) ) ) ) ) ) ) )).
fof(d4_ami_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_ami_2,k5_card_1(2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ami_2,k5_card_1(2)))) ) => ( A = k3_ami_2 <=> ! [B] : ( m1_subset_1(B,k1_ami_2) => ( ( B = k4_ordinal1 => k3_funct_2(k1_ami_2,k5_card_1(2),A,B) = k5_numbers ) & ( r2_tarski(B,k2_ami_2) => k3_funct_2(k1_ami_2,k5_card_1(2),A,B) = 1 ) ) ) ) ) )).
fof(d4_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k3_ami_3(A,B) = k3_xtuple_0(2,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d4_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k1_ami_wstd(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v3_funct_2(E,k4_ordinal1,k4_ordinal1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(F,G) <=> r1_ami_wstd(A,B,k3_funct_2(k4_ordinal1,k4_ordinal1,E,F),k3_funct_2(k4_ordinal1,k4_ordinal1,E,G)) ) ) ) & D = k1_funct_1(E,C) ) ) ) ) ) ) )).
fof(d4_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => k2_amistd_1(A,B,C) = k1_setfam_1(a_3_0_amistd_1(A,B,C)) ) ) ) )).
fof(d4_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( D = k3_amistd_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,D) <=> ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => ! [G] : ( m1_subset_1(G,k4_memstr_0(A,B,E)) => k2_extpro_1(A,B,C,F) = k2_extpro_1(A,B,C,k1_amistd_4(A,B,F,E,G)) ) ) ) ) ) ) ) ) ) )).
fof(d4_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ( v4_amistd_5(B,A) <=> ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & ~ v1_xboole_0(D) & v1_finset_1(D) & v4_extpro_1(D,A,B,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_partfun1(E,u1_struct_0(B)) ) => ( r1_tarski(D,E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(B)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( r1_tarski(C,F) => ! [G] : ( v7_ordinal1(G) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,F,E,G)),k9_xtuple_0(C)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) => ( D = k1_analmetr(A,B,C) <=> ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & E = k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,H) & F = k1_domain_1(u1_struct_0(A),u1_struct_0(A),I,J) & r3_analmetr(A,G,H,I,J,B,C) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k2_analoaf(A) = g1_analoaf(u1_struct_0(A),k1_analoaf(A)) ) )).
fof(d4_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_analort(A,B,C,D,E,F,G) <=> r1_analoaf(A,k1_analort(A,B,C,D),k1_analort(A,B,C,E),F,G) ) ) ) ) ) ) ) ) )).
fof(d4_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_anproj_1(A,B) = k6_eqrel_1(k8_struct_0(A),k8_struct_0(A),k1_anproj_1(A),B) ) ) )).
fof(d4_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r4_anproj_2(A,B,C,D,E,F,G,H) <=> ( ~ r2_anproj_1(A,B,C,F) & r2_anproj_1(A,B,C,D) & r2_anproj_1(A,B,C,E) & r2_anproj_1(A,B,F,G) & r2_anproj_1(A,B,F,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : k2_aofa_000(A,B,C) = k1_funct_4(B,k5_relat_1(A,C)) ) ) )).
fof(d4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k6_aofa_a00(A,B,C,D,E,F,G) = k7_finseq_1(k8_finseq_4(A,B,C,D,E),k10_finseq_1(F,G)) )).
fof(d4_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_msafree(D,A,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(A),D,E)) => ( v3_aofa_a01(F,A,B,C,D,E) <=> r2_tarski(F,k1_msafree4(u1_struct_0(A),k1_aofa_a01(A,B,C),E)) ) ) ) ) ) ) ) )).
fof(d4_aofa_l00,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_aofa_l00(B) => ( v6_aofa_l00(B,A) <=> ( r1_xxreal_0(k2_xcmplx_0(A,5),k3_finseq_1(u7_aofa_a00(B))) & v2_funct_1(k2_partfun1(k4_ordinal1,u4_struct_0(B),u7_aofa_a00(B),k4_enumset1(A,k2_xcmplx_0(A,1),k2_xcmplx_0(A,2),k2_xcmplx_0(A,3),k2_xcmplx_0(A,4),k2_xcmplx_0(A,5)))) & r1_aofa_a00(B,k1_funct_1(u7_aofa_a00(B),A),k9_finseq_1(u1_aofa_l00(B)),u1_aofa_l00(B)) & r1_aofa_a00(B,k1_funct_1(u7_aofa_a00(B),k2_xcmplx_0(A,5)),k1_xboole_0,u1_aofa_l00(B)) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,4) & ~ r1_aofa_a00(B,k1_funct_1(u7_aofa_a00(B),k2_xcmplx_0(A,C)),k10_finseq_1(u1_aofa_l00(B),u1_aofa_l00(B)),u1_aofa_l00(B)) ) ) ) ) ) ) )).
fof(d4_arrow,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_arrow(A,B,C) <=> r2_hidden(k4_tarski(B,C),A) ) ) )).
fof(d4_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( ( A != k5_numbers => ( B = k4_arytm_0(A) <=> k2_arytm_0(A,B) = 1 ) ) & ( A = k5_numbers => ( B = k4_arytm_0(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d4_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( ( ? [C] : ( m1_subset_1(C,k5_arytm_3) & ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( r2_tarski(D,A) <=> ~ r3_arytm_3(C,D) ) ) ) => ( B = k4_arytm_2(A) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & B = C & ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( r2_tarski(D,A) <=> ~ r3_arytm_3(C,D) ) ) ) ) ) & ( ! [C] : ( m1_subset_1(C,k5_arytm_3) => ~ ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( r2_tarski(D,A) <=> ~ r3_arytm_3(C,D) ) ) ) => ( B = k4_arytm_2(A) <=> B = A ) ) ) ) ) )).
fof(d4_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k2_arytm_3(A,B) <=> ( r2_arytm_3(A,C) & r2_arytm_3(B,C) & ! [D] : ( ( v3_ordinal1(D) & v7_ordinal1(D) ) => ( ( r2_arytm_3(A,D) & r2_arytm_3(B,D) ) => r2_arytm_3(C,D) ) ) ) ) ) ) ) )).
fof(d4_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v4_asympt_0(A) <=> ? [B] : ( v7_ordinal1(B) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(B,C) & r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k5_numbers) ) ) ) ) ) )).
fof(d4_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pzfmisc1(A,B,C) => k4_autalg_1(A,B,C) = k4_card_3(k7_pboole(A,B,C)) ) ) ) )).
fof(d4_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) => ( B = k4_autgroup(A) <=> ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),k9_funct_2(u1_struct_0(A),u1_struct_0(A))) => ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,E) = k2_group_3(A,E,D) ) ) ) ) ) ) ) )).
fof(d4_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( v7_ordinal1(C) => ( C = k3_bagorder(A,B) <=> ? [D] : ( m2_finseq_1(D,k4_ordinal1) & C = k1_wsierp_1(D) & D = k23_pre_poly(A,k7_pre_poly(A,k22_pre_poly(A,B),k2_orders_1(A)),B) ) ) ) ) ) )).
fof(d4_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v4_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,C),D),k1_bcialg_1(A,k1_bcialg_1(A,B,D),C)) = k4_struct_0(A) ) ) ) ) ) )).
fof(d4_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v4_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_bcialg_1(A,B,C) = k4_struct_0(A) => B = k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)) ) ) ) ) ) )).
fof(d4_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_bcialg_4(A,B,C) = a_3_0_bcialg_4(A,B,C) ) ) ) )).
fof(d4_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_5(A,B,C,D) = k3_xxreal_0(k3_xxreal_0(A,B),k3_xxreal_0(C,D)) ) ) ) ) )).
fof(d4_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m1_bciideal(B,A) <=> ( r2_tarski(k4_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,C,D),E),B) & r2_tarski(k1_bcialg_1(A,D,E),B) ) => r2_tarski(C,B) ) ) ) ) ) ) ) ) )).
fof(d4_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_bhsp_1(A,B) = k3_square_1(k2_bhsp_1(A,B,B)) ) ) )).
fof(d4_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k3_bhsp_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k4_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,E),C) ) ) ) ) ) ) )).
fof(d4_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v3_bhsp_3(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_3(B,A) => v1_bhsp_2(B,A) ) ) ) ) )).
fof(d4_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => k3_bhsp_4(A,B,C) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C) ) ) ) )).
fof(d4_bhsp_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [D] : ( m2_finseq_1(D,B) => k4_bhsp_5(A,B,C,D) = k3_relat_1(D,C) ) ) ) ) )).
fof(d4_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( E = k4_bilinear(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),E,F,G) = k4_algstr_0(A,k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,F,G)) ) ) ) ) ) ) ) ) )).
fof(d4_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => k4_binari_2(A,B,C) = k9_margrel1(k9_margrel1(k8_margrel1(k7_partfun1(k5_margrel1,B,A)),k8_margrel1(k7_partfun1(k5_margrel1,C,A))),k7_partfun1(k5_margrel1,k4_binarith(A,B,C),A)) ) ) ) )).
fof(d4_binarith,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => k6_binarith(A,B) = k1_finsop_1(k4_ordinal1,k5_binarith(A,B),k23_binop_2) ) ) )).
fof(d4_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) => ( B = k4_binom(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k9_nat_1(u1_struct_0(A),B,C,k5_numbers) = k4_struct_0(A) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k9_nat_1(u1_struct_0(A),B,C,k1_nat_1(D,1)) = k1_algstr_0(A,k9_nat_1(u1_struct_0(A),B,C,D),C) ) ) ) ) ) ) )).
fof(d4_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v3_binop_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => k1_binop_1(B,C,C) = C ) ) ) )).
fof(d4_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers))) ) => ( A = k4_binop_2 <=> ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k1_binop_1(A,B,C) = k6_xcmplx_0(B,C) ) ) ) ) )).
fof(d4_bintree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ( v3_bintree1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( r1_lang1(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => C != k4_pre_poly(u1_struct_0(A),D,E) ) ) ) ) ) ) ) )).
fof(d4_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_boolealg(A,B,C) <=> k4_lattices(A,B,C) != k5_lattices(A) ) ) ) ) )).
fof(d4_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ( r2_boolmark(A,B,C) <=> ~ ( C != k1_xboole_0 & ! [D] : ( m2_finseq_1(D,k1_boolmark(A)) => ~ ( k3_finseq_1(C) = k3_finseq_1(D) & r1_boolmark(A,B,k7_partfun1(u4_struct_0(A),C,1)) & k7_partfun1(k1_boolmark(A),D,1) = k2_boolmark(A,B,k7_partfun1(u4_struct_0(A),C,1)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),E) & ~ r1_xxreal_0(E,k5_numbers) & ~ ( r1_boolmark(A,k7_partfun1(k1_boolmark(A),D,E),k7_partfun1(u4_struct_0(A),C,k1_nat_1(E,1))) & k7_partfun1(k1_boolmark(A),D,k1_nat_1(E,1)) = k2_boolmark(A,k7_partfun1(k1_boolmark(A),D,E),k7_partfun1(u4_struct_0(A),C,k1_nat_1(E,1))) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => k8_borsuk_1(A,B) = k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B))) ) ) )).
fof(d4_borsuk_2,axiom,( ! [A] : ( ( v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ( m1_borsuk_2(D,A,B,C) <=> ( v5_pre_topc(D,k5_topmetr,A) & k1_funct_1(D,k5_numbers) = B & k1_funct_1(D,1) = C ) ) ) ) ) ) )).
fof(d4_borsuk_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & v5_pre_topc(E,k5_topmetr,k5_topmetr) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) ) => ( ( k1_funct_1(E,k5_numbers) = k5_numbers & k1_funct_1(E,1) = 1 & r1_borsuk_6(A,B,C) ) => k2_borsuk_6(A,B,C,D,E) = k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),u1_struct_0(A),E,D) ) ) ) ) ) ) )).
fof(d4_borsuk_7,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => ! [B] : ( v1_xreal_0(B) => k9_borsuk_7(A,B) = k2_tmap_1(k15_euclid(2),k15_euclid(2),k1_jordan24(B),k7_toprealb(2,k4_struct_0(k15_euclid(2)),A)) ) ) )).
fof(d4_brouwer,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_brouwer(A,B,C))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_brouwer(A,B,C)),u1_struct_0(k2_brouwer(A,B,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A,B,C)),u1_struct_0(k2_brouwer(A,B,C))))) ) => ( ~ r2_abian(u1_struct_0(k2_brouwer(A,B,C)),D,E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_toprealb(A,B,C))) => ( F = k4_brouwer(A,B,C,D,E) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) & ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(A))) & G = D & H = k3_funct_2(u1_struct_0(k2_brouwer(A,B,C)),u1_struct_0(k2_brouwer(A,B,C)),E,D) & F = k3_brouwer(A,B,H,G,C) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_bspace)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ( B = k5_struct_0(k2_bspace) => k4_bspace(A,B,C) = C ) & ( B = k4_struct_0(k2_bspace) => k4_bspace(A,B,C) = k1_subset_1(A) ) ) ) ) )).
fof(d4_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k4_bvfunc25(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k5_margrel1,D,E) = k20_bvfunc_1(k3_funct_2(A,k5_margrel1,B,E),k3_funct_2(A,k5_margrel1,C,E)) ) ) ) ) ) ) )).
fof(d4_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k5_bvfunc_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k5_margrel1,D,E) = k5_xboolean(k3_funct_2(A,k5_margrel1,B,E),k3_funct_2(A,k5_margrel1,C,E)) ) ) ) ) ) ) )).
fof(d4_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_c0sp1(B,A) <=> ( r2_tarski(k5_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k6_algstr_0(A,C,D),B) ) ) ) ) ) ) ) )).
fof(d4_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k4_c0sp2(A) = k2_partfun1(k6_c0sp1(u1_struct_0(A)),k1_numbers,k10_c0sp1(u1_struct_0(A)),k2_c0sp2(A)) ) )).
fof(d4_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ( r2_calcul_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & r1_relset_1(k4_ordinal1,k3_cqc_lang(A),B,k15_finseq_1(k2_partfun1(k4_ordinal1,k3_cqc_lang(A),C,D))) ) ) ) ) ) )).
fof(d4_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ( r1_xxreal_0(1,k3_finseq_1(B)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( C = k5_calcul_2(A,B) <=> ? [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) & C = k1_funct_1(D,k3_finseq_1(B)) & k3_finseq_1(D) = k3_finseq_1(B) & ( k1_funct_1(D,1) = k4_calcul_2(A,B) | k3_finseq_1(B) = k5_numbers ) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(k3_finseq_1(B),E) & ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( F = k1_funct_1(B,k1_nat_1(E,1)) & G = k1_funct_1(D,E) & k1_funct_1(D,k1_nat_1(E,1)) = k8_cqc_lang(A,F,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_cantor_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_cantor_1(B,A) <=> ? [C] : ( v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & r1_tarski(C,k2_cantor_1(u1_struct_0(A),B)) ) ) ) ) )).
fof(d4_card_1,axiom,( ! [A] : ( v1_card_1(A) => ( v2_card_1(A) <=> ! [B] : ( v1_card_1(B) => A != k2_card_1(B) ) ) ) )).
fof(d4_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k3_card_3(A) = k3_tarski(k10_xtuple_0(A)) ) )).
fof(d4_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_card_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r2_card_fil(A,B,C) <=> ! [D] : ( ~ v1_xboole_0(D) => ( ( r1_tarski(D,C) & r2_tarski(k1_card_1(D),B) ) => r2_tarski(k3_tarski(D),C) ) ) ) ) ) ) )).
fof(d4_card_fin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finset_1(B) ) => ( v1_finset_1(k9_xtuple_0(B)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k3_card_fin(A,B) <=> ! [D] : ! [E] : ! [F] : ( v1_finset_1(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_card_1(k1_card_fin(F,A,D,E)),k1_card_fin(F,A,D,E)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(k1_card_fin(F,A,D,E)),k1_card_fin(F,A,D,E)))) ) => ~ ( k9_xtuple_0(B) = F & v2_funct_1(G) & D != E & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_ordinal1) & v5_ordinal1(H) & v1_funct_1(H) & v1_finset_1(H) ) => ~ ( k1_relset_1(k4_ordinal1,H) = k1_relset_1(k4_card_1(k1_card_fin(F,A,D,E)),G) & ! [I] : ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) ) => ( ( r2_tarski(I,k1_relset_1(k4_ordinal1,H)) & J = k1_funct_1(G,I) ) => k1_recdef_1(H,I) = k1_card_1(k2_card_fin(B,J,D)) ) ) & C = k7_afinsq_2(H) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_cardfin2,axiom,( ! [A] : ! [B] : k4_cardfin2(A,B) = a_2_0_cardfin2(A,B) )).
fof(d4_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_cat_1(A,B,C) = a_3_0_cat_1(A,B,C) ) ) ) )).
fof(d4_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( m3_cat_2(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( C = E & D = F ) => r1_tarski(k2_cat_1(B,C,D),k2_cat_1(A,E,F)) ) ) ) ) ) & r1_tarski(u1_cat_1(B),u1_cat_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( C = D => k4_cat_1(B,C) = k4_cat_1(A,D) ) ) ) ) ) ) ) )).
fof(d4_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(k2_oppcat_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(k2_oppcat_1(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( D = k5_cat_3(A,B,C) <=> ! [E] : ( r2_tarski(E,B) => k7_partfun1(u4_struct_0(A),D,E) = k6_oppcat_1(A,k7_partfun1(u4_struct_0(k2_oppcat_1(A)),C,E)) ) ) ) ) ) )).
fof(d4_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_cat_4(A,B,C) = k4_binop_1(u1_struct_0(A),u2_cat_4(A),B,C) ) ) ) )).
fof(d4_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( v2_cat_6(B,A) <=> ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ( r1_cat_6(A,B,C) => k2_cat_6(A,B,C) = C ) ) ) ) ) )).
fof(d4_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k6_cat_6(A)) => ! [E] : ( m1_cat_7(E,A,B,C) => ! [F] : ( m1_cat_7(F,A,C,D) => ~ ( k1_cat_7(A,B,C) != k1_xboole_0 & k1_cat_7(A,C,D) != k1_xboole_0 & k4_cat_7(A,B,C,D,E,F) != k2_cat_6(A,F,E) ) ) ) ) ) ) ) )).
fof(d4_catalan2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k4_catalan2(A,B) <=> ! [D] : ( v7_ordinal1(D) => ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k1_numbers) & v1_funct_1(E) & v5_ordinal1(E) & v1_finset_1(E) & k1_relset_1(k4_ordinal1,E) = k1_nat_1(D,1) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k1_nat_1(D,1)) => k1_funct_1(E,F) = k4_real_1(k8_nat_1(k1_numbers,A,F),k3_funct_2(k4_ordinal1,k1_numbers,B,k7_nat_d(D,F))) ) ) & k7_afinsq_2(E) = k8_nat_1(k1_numbers,C,D) ) ) ) ) ) ) )).
fof(d4_catalg_1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ( v2_catalg_1(A) <=> ? [B] : ( m1_instalg1(k2_catalg_1(B),A) & u1_struct_0(A) = k2_zfmisc_1(k1_tarski(k5_numbers),k4_finseq_2(2,B)) ) ) ) )).
fof(d4_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k2_cc0sp1(A) = a_1_0_cc0sp1(A) ) )).
fof(d4_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k3_cc0sp2(A) = g1_cfuncdom(k2_cc0sp2(A),k2_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k1_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k1_cc0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k4_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k3_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A))) ) )).
fof(d4_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v3_cfdiff_1(A) <=> ? [B] : ( v1_xcmplx_0(B) & ! [C] : ( v1_xcmplx_0(C) => k7_partfun1(k2_numbers,A,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(d4_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_cfuncdom(A) = k7_funcop_1(A,k5_numbers) ) )).
fof(d4_cgames_1,axiom,( k4_cgames_1 = g1_cgames_1(k1_tarski(k3_cgames_1),k1_xboole_0) )).
fof(d4_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : k2_chord(A,B) = a_2_0_chord(A,B) ) )).
fof(d4_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ( v1_circcmb3(C,A,B) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ( D = k1_circcmb3(A,B,C) <=> ( v1_circuit2(D,A,B) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & r8_pboole(u1_struct_0(A),D,k5_facirc_1(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(d4_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,B) & l3_msualg_1(D,B) ) => ( r1_partfun1(u3_msualg_1(A,C),u3_msualg_1(B,D)) => ! [E] : ( ( v3_msualg_1(E,k2_circcomb(A,B)) & v4_msualg_1(E,k2_circcomb(A,B)) & l3_msualg_1(E,k2_circcomb(A,B)) ) => ( E = k3_circcomb(A,B,C,D) <=> ( u3_msualg_1(k2_circcomb(A,B),E) = k1_funct_4(u3_msualg_1(A,C),u3_msualg_1(B,D)) & u4_msualg_1(k2_circcomb(A,B),E) = k1_circcomb(u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,C))),k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),u4_struct_0(B),k3_relat_1(u1_msualg_1(B),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,D))),k3_relat_1(u2_msualg_1(B),u3_msualg_1(B,D)),u4_msualg_1(A,C),u4_msualg_1(B,D)) ) ) ) ) ) ) ) ) )).
fof(d4_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ( v1_circled1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v2_funct_1(C) & k10_xtuple_0(C) = k3_rlvect_2(A,B) & ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(C) & k18_rvsum_1(D) = 1 & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ( k1_funct_1(D,E) = k1_funct_1(B,k1_funct_1(C,E)) & r1_xxreal_0(k5_numbers,k1_funct_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(d4_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( l3_msualg_1(D,A) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_circtrm1(A,B,C))) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(k1_circtrm1(A,B,C))) ) => ( E = k4_circtrm1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k1_circtrm1(A,B,C))) => k1_funct_1(E,F) = k2_circtrm1(A,B,C,F,D) ) ) ) ) ) ) ) )).
fof(d4_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ( D = k4_circuit1(A,B,C) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) & E = a_3_0_circuit1(A,B,C) & D = k1_xxreal_2(E) ) ) ) ) ) ) )).
fof(d4_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree2(D,A,B) => k5_circuit2(A,B,C,D) = k3_funct_2(k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C),k1_funct_1(u3_msualg_1(A,B),C),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,B),k6_msafree2(A,B),C),k4_circuit2(A,B,C,D)) ) ) ) ) )).
fof(d4_classes1,axiom,( ! [A] : ! [B] : ( B = k1_classes1(A) <=> ( r1_classes1(A,B) & ! [C] : ( r1_classes1(A,C) => r1_tarski(B,C) ) ) ) )).
fof(d4_classes2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ( B = k15_classes2(A) <=> ( r1_tarski(A,B) & ! [C] : ( ( ~ v1_xboole_0(C) & v1_classes2(C) ) => ( r1_tarski(A,C) => r1_tarski(B,C) ) ) ) ) ) )).
fof(d4_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_clopban1(u1_struct_0(A),B)))) => ( C = k5_clopban1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_clopban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(d4_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k8_clopban1(A,A),k8_clopban1(A,A)),k8_clopban1(A,A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_clopban1(A,A),k8_clopban1(A,A)),k8_clopban1(A,A)))) ) => ( B = k5_clopban2(A) <=> ! [C] : ( m2_subset_1(C,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => k4_binop_1(k8_clopban1(A,A),B,C,D) = k3_clopban2(A,D,C) ) ) ) ) ) )).
fof(d4_clopban4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & v2_cfuncdom(B) & v5_clopban2(B) & l1_clopban2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( E = k4_clopban4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,A) => k1_normsp_0(B,E,F) = k6_algstr_0(B,k1_normsp_0(B,k1_clopban4(B,C),F),k1_normsp_0(B,k1_bhsp_4(B,k1_clopban4(B,D)),k7_nat_d(A,F))) ) & ( ~ r1_xxreal_0(F,A) => k1_normsp_0(B,E,F) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(d4_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( v4_closure1(C,A,B) <=> ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => ! [E] : ( m1_pboole(E,A,k5_mssubfam(A,B)) => r6_pboole(A,k16_pralg_1(A,C,k2_pboole(A,D,E)),k2_pboole(A,k2_closure1(A,B,C,D),k2_closure1(A,B,C,E))) ) ) ) ) ) )).
fof(d4_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( v4_clvect_1(A) <=> ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_clvect_1(A,D,k3_xcmplx_0(B,C)) = k1_clvect_1(A,k1_clvect_1(A,D,C),B) ) ) ) ) ) )).
fof(d4_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k3_clvect_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k13_csspace(A,k8_nat_1(u1_struct_0(A),B,E),C) ) ) ) ) ) ) )).
fof(d4_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k3_clvect_3(A,B,C,D) = k5_algstr_0(A,k2_clvect_3(A,B,C),k2_clvect_3(A,B,D)) ) ) ) ) )).
fof(d4_coh_sp,axiom,( ! [A] : k3_coh_sp(A) = a_1_0_coh_sp(A) )).
fof(d4_cohsp_1,axiom,( ! [A] : ( v1_cohsp_1(A) <=> ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ? [C] : ( r1_tarski(k3_tarski(B),C) & r2_tarski(C,A) ) ) ) )).
fof(d4_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ( v3_collsp(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,C,D),u1_collsp(A)) & r2_tarski(k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,C,E),u1_collsp(A)) & r2_tarski(k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,C,F),u1_collsp(A)) ) => ( B = C | r2_tarski(k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,E,F),u1_collsp(A)) ) ) ) ) ) ) ) ) ) )).
fof(d4_complex1,axiom,( k6_complex1 = 1 )).
fof(d4_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C,B)),k1_comptrig(k6_xcmplx_0(A,B)))) => k4_complex2(A,B,C) = k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C,B)),k1_comptrig(k6_xcmplx_0(A,B))) ) & ( ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C,B)),k1_comptrig(k6_xcmplx_0(A,B)))) => k4_complex2(A,B,C) = k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(k1_comptrig(k6_xcmplx_0(C,B)),k1_comptrig(k6_xcmplx_0(A,B)))) ) ) ) ) ) )).
fof(d4_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => k8_complsp2(A,B) = k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(k6_complsp2(A),k6_complsp2(B)),k3_xcmplx_0(k7_complex1,k22_rvsum_1(k6_complsp2(A),k7_complsp2(B)))),k3_xcmplx_0(k7_complex1,k22_rvsum_1(k7_complsp2(A),k6_complsp2(B)))),k22_rvsum_1(k7_complsp2(A),k7_complsp2(B))) ) ) )).
fof(d4_compos_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( r1_compos_2(A,B) <=> r1_tarski(k63_valued_1(A),B) ) ) )).
fof(d4_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_compts_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( m1_setfam_1(C,B) & v1_tops_2(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(D,C) & m1_setfam_1(D,B) & v1_finset_1(D) ) ) ) ) ) ) ) )).
fof(d4_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_comput_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v2_margrel1(C) & r2_tarski(C,k10_xtuple_0(A)) ) => ( B = k1_comput_1(A) <=> ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_margrel1(C) ) => ( r2_tarski(C,k10_xtuple_0(A)) => B = k18_margrel1(C) ) ) ) ) & ( ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_margrel1(C) ) => ~ r2_tarski(C,k10_xtuple_0(A)) ) => ( B = k1_comput_1(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d4_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_comseq_2(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(B,k9_complex1(k8_nat_1(k2_numbers,A,C))) ) ) ) ) )).
fof(d4_comseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k4_comseq_3(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k4_complex1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d4_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v4_conaffm(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r4_analmetr(A,B,C,B,D) & r4_analmetr(A,B,E,B,F) & r4_analmetr(A,B,G,B,H) & r4_analmetr(A,C,E,D,F) & r4_analmetr(A,C,G,D,H) ) => ( r2_analoaf(A,B,G,B,C) | r2_analoaf(A,B,C,B,E) | r4_analmetr(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) => ( B = k2_conlat_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),B,C) = a_2_1_conlat_1(A,C) ) ) ) ) )).
fof(d4_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k11_conlat_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k11_conlat_1(A))))) ) => ( B = k4_conlat_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u4_struct_0(A))) & k3_funct_2(u1_struct_0(A),u1_struct_0(k11_conlat_1(A)),B,C) = g2_conlat_1(A,D,E) & D = k3_funct_2(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k6_domain_1(u1_struct_0(A),C))) & E = k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k6_domain_1(u1_struct_0(A),C)) ) ) ) ) ) ) )).
fof(d4_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_connsp_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v2_connsp_1(D,A) & r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) )).
fof(d4_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_connsp_2(A,B) ) ) ) )).
fof(d4_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k2_convex1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ( v1_convex1(D,A) & r1_tarski(B,D) ) ) ) ) ) ) ) )).
fof(d4_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_convex4(C,A) => ( m2_convex4(C,A,B) <=> r1_tarski(k1_convex4(A,C),B) ) ) ) ) )).
fof(d4_convfun1,axiom,( k4_convfun1 = g1_rlvect_1(k1_numbers,k10_subset_1(k5_numbers,k1_numbers),k9_binop_2,k11_binop_2) )).
fof(d4_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => ( ( k2_xtuple_0(k1_funct_1(B,C)) = k5_numbers => ( r1_cqc_the1(A,B,C,D) <=> r2_hidden(k1_xtuple_0(k1_funct_1(B,C)),D) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 1 => ( r1_cqc_the1(A,B,C,D) <=> k1_xtuple_0(k1_funct_1(B,C)) = k5_cqc_lang(A) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 2 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B,C)) = k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,E),E),E) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 3 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B,C)) = k8_cqc_lang(A,E,k8_cqc_lang(A,k6_cqc_lang(A,E),F)) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 4 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B,C)) = k8_cqc_lang(A,k8_cqc_lang(A,E,F),k8_cqc_lang(A,k6_cqc_lang(A,k7_cqc_lang(A,F,G)),k6_cqc_lang(A,k7_cqc_lang(A,E,G)))) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 5 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B,C)) = k8_cqc_lang(A,k7_cqc_lang(A,E,F),k7_cqc_lang(A,F,E)) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 6 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) & k1_xtuple_0(k1_funct_1(B,C)) = k8_cqc_lang(A,k11_cqc_lang(A,F,E),E) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 7 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & ? [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(C,E) & r1_xxreal_0(1,F) & ~ r1_xxreal_0(E,F) & G = k1_xtuple_0(k1_funct_1(B,F)) & H = k1_xtuple_0(k1_funct_1(B,C)) & k1_xtuple_0(k1_funct_1(B,E)) = k8_cqc_lang(A,G,H) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 8 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( v7_ordinal1(E) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(C,E) & k1_xtuple_0(k1_funct_1(B,E)) = k8_cqc_lang(A,F,G) & ~ r2_tarski(H,k24_qc_lang1(A,F)) & k1_xtuple_0(k1_funct_1(B,C)) = k8_cqc_lang(A,F,k11_cqc_lang(A,H,G)) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 9 => ( r1_cqc_the1(A,B,C,D) <=> ? [E] : ( v7_ordinal1(E) & ? [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) & ? [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) & ? [H] : ( m1_subset_1(H,k9_qc_lang1(A)) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(C,E) & r2_tarski(k13_cqc_lang(A,H,F),k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A,H,G),k3_cqc_lang(A)) & ~ r2_tarski(F,k24_qc_lang1(A,H)) & k13_cqc_lang(A,H,F) = k1_xtuple_0(k1_funct_1(B,E)) & k13_cqc_lang(A,H,G) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r4_cqc_the3(A,B,C) <=> ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r3_cqc_the1(A,B,D) <=> r3_cqc_the1(A,C,D) ) ) ) ) ) ) )).
fof(d4_csspace3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_csspace3(A,B,C) = k2_normsp_0(A,k5_algstr_0(A,B,C)) ) ) ) )).
fof(d4_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_csspace4(C,A,B) <=> ? [D] : ( v1_xreal_0(D) & r1_xxreal_0(k5_numbers,D) & ! [E] : ( m1_subset_1(E,A) => r1_xxreal_0(k2_normsp_0(B,k3_funct_2(A,u1_struct_0(B),C,E)),D) ) ) ) ) ) ) )).
fof(d4_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( B = k3_dblseq_2(A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k1_binop_1(B,k5_numbers,D) = k1_binop_1(A,k5_numbers,D) & k1_binop_1(B,k1_nat_1(C,1),D) = k2_xcmplx_0(k1_binop_1(B,C,D),k1_binop_1(A,k1_nat_1(C,1),D)) ) ) ) ) ) ) )).
fof(d4_descip_1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ( D = k11_descip_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k10_descip_1(A,D,E) = k2_binarith(k10_descip_1(A,B,E),k10_descip_1(A,C,E)) ) ) ) ) ) ) ) )).
fof(d4_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_dickson(A) => k1_dickson(A) = k2_eqrel_1(u1_struct_0(A),u1_orders_2(A),k3_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(d4_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => k4_diff_1(A,B) = k47_valued_1(k1_numbers,k1_numbers,k1_numbers,A,k1_diff_1(A,k4_xcmplx_0(B))) ) ) )).
fof(d4_dilworth,axiom,( ! [A] : ( ( v3_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k1_dilworth(A) <=> ( ? [C] : ( v1_finset_1(C) & v1_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & k4_card_1(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v1_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_xxreal_0(k4_card_1(C),B) ) ) ) ) ) )).
fof(d4_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_diraf(A,B,C,D,E) <=> ( r2_analoaf(A,B,C,D,E) | r2_analoaf(A,B,C,E,D) ) ) ) ) ) ) ) )).
fof(d4_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_dist_1(A,B,C) <=> ! [D] : k3_dist_1(A,B,D) = k3_dist_1(A,C,D) ) ) ) ) )).
fof(d4_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k4_dist_2(A,B,C,D) = k7_xcmplx_0(k4_card_1(k3_dist_2(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,C,D))),k3_finseq_1(C)) ) ) ) ) )).
fof(d4_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ( v2_dtconstr(A) <=> k2_lang1(A) != k1_xboole_0 ) ) )).
fof(d4_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k2_vectsp_1) & v9_vectsp_1(A,k2_vectsp_1) & v10_vectsp_1(A,k2_vectsp_1) & v11_vectsp_1(A,k2_vectsp_1) & l1_vectsp_1(A,k2_vectsp_1) ) => k4_dualsp01(A) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k3_dualsp01(A)) ) )).
fof(d4_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( C = k4_dynkin(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k9_setfam_1(A),C,D) = k3_dynkin(A,B,D) ) ) ) ) ) )).
fof(d4_e_siec,axiom,( ! [A] : k2_e_siec(A) = g1_e_siec(A,k4_relat_1(A),k4_relat_1(A)) )).
fof(d4_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ! [D] : ( m2_subset_1(D,k3_ec_pf_1(k9_int_3(A)),k6_ec_pf_1(A,B,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(A))) => ( E = k5_ec_pf_2(A,B,C,D) <=> ! [F] : ! [G] : ! [H] : ( D = k3_xtuple_0(F,G,H) => E = G ) ) ) ) ) ) ) )).
fof(d4_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_autalg_1(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)))) ) => ( C = k4_endalg(A,B) <=> ( ! [D] : ( m1_autalg_1(D,u1_struct_0(A),u3_msualg_1(A,B),C) => m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) & ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( r2_tarski(D,C) <=> r1_msualg_3(A,B,B,D) ) ) ) ) ) ) ) )).
fof(d4_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => k4_ens_1(A,B) = k2_xfamily(k1_xfamily(B)) ) ) )).
fof(d4_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,k3_finseq_1(A),k3_finseq_1(A)) & v1_entropy1(B,k3_finseq_1(A)) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( B = k1_entropy1(A) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k3_matrix_0(k1_numbers,B,C,C) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(d4_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( G = k4_enumset1(A,B,C,D,E,F) <=> ! [H] : ( r2_hidden(H,G) <=> ~ ( H != A & H != B & H != C & H != D & H != E & H != F ) ) ) )).
fof(d4_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( m1_eqrel_1(B,A) <=> ( k5_setfam_1(A,B) = A & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) => ( C != k1_xboole_0 & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,B) & C != D & ~ r1_xboole_0(C,D) ) ) ) ) ) ) ) ) )).
fof(d4_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => k4_equation(A) = k6_pboole(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,k3_equation(A))) ) )).
fof(d4_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k4_euclid(A) = k5_finseq_2(k1_numbers,A,k10_subset_1(k5_numbers,k1_numbers)) ) )).
fof(d4_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k4_euclid_3(A,B,C) = k4_complex2(k2_euclid_3(A),k2_euclid_3(B),k2_euclid_3(C)) ) ) ) )).
fof(d4_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => k5_euclid_5(A,B) = k4_euclid_5(k6_xcmplx_0(k3_xcmplx_0(k2_euclid_5(A),k3_euclid_5(B)),k3_xcmplx_0(k3_euclid_5(A),k2_euclid_5(B))),k6_xcmplx_0(k3_xcmplx_0(k3_euclid_5(A),k1_euclid_5(B)),k3_xcmplx_0(k1_euclid_5(A),k3_euclid_5(B))),k6_xcmplx_0(k3_xcmplx_0(k1_euclid_5(A),k2_euclid_5(B)),k3_xcmplx_0(k2_euclid_5(A),k1_euclid_5(B)))) ) ) )).
fof(d4_euclid_7,axiom,( ! [A] : ( v2_euclid_7(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( r2_tarski(B,A) => k12_euclid(B) = 1 ) ) ) )).
fof(d4_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => k5_euclid_8(A,B) = k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,2),k1_funct_1(B,3)),k3_xcmplx_0(k1_funct_1(A,3),k1_funct_1(B,2))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,3),k1_funct_1(B,1)),k3_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,3))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,2)),k3_xcmplx_0(k1_funct_1(A,2),k1_funct_1(B,1)))) ) ) )).
fof(d4_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(A))) => ! [C] : ( v1_xreal_0(C) => k4_euclid_9(A,B,C) = k4_card_3(k3_euclid_9(B,C)) ) ) ) )).
fof(d4_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => k1_euclidlp(A) = a_1_0_euclidlp(A) ) )).
fof(d4_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) ) => ( v4_euclmetr(A) <=> v1_translac(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(d4_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v3_ordinal1(B) => ( ( ? [C] : ( v3_ordinal1(C) & r2_tarski(C,k9_xtuple_0(A)) ) => ( B = k1_exchsort(A) <=> v2_exchsort(A,B) ) ) & ( ! [C] : ( v3_ordinal1(C) => ~ r2_tarski(C,k9_xtuple_0(A)) ) => ( B = k1_exchsort(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d4_facirc_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k1_facirc_1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k2_binarith(B,C) ) ) ) ) )).
fof(d4_facirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v3_msualg_1(D,k3_facirc_2(A,B,C)) & v4_msafree2(D,k3_facirc_2(A,B,C)) & v4_circcomb(D,k3_facirc_2(A,B,C)) & v6_circcomb(D,k3_facirc_2(A,B,C)) & l3_msualg_1(D,k3_facirc_2(A,B,C)) ) => ( D = k4_facirc_2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & ? [G] : ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & k3_facirc_2(A,B,C) = k1_funct_1(E,A) & D = k1_funct_1(F,A) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(G,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ( ( I = k1_funct_1(E,H) & J = k1_funct_1(F,H) & K = k1_funct_1(G,H) ) => ( k1_funct_1(E,k1_nat_1(H,1)) = k2_circcomb(I,k19_facirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(F,k1_nat_1(H,1)) = k3_circcomb(I,k19_facirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K),J,k20_facirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(G,k1_nat_1(H,1)) = k17_facirc_1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_fcont_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( C = k1_fcont_1(A,B) <=> ! [D] : ( v1_xreal_0(D) => k1_funct_1(C,D) = k2_xcmplx_0(k3_xcmplx_0(A,D),B) ) ) ) ) ) )).
fof(d4_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_fdiff_1(A,B) <=> ? [C] : ( m1_rcomp_1(C,B) & r1_tarski(C,k1_relset_1(k1_numbers,A)) & ? [D] : ( v1_funct_1(D) & v3_fdiff_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [E] : ( v1_funct_1(E) & v2_fdiff_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => k6_xcmplx_0(k1_funct_1(A,F),k1_funct_1(A,B)) = k2_xcmplx_0(k1_funct_1(D,k6_xcmplx_0(F,B)),k1_funct_1(E,k6_xcmplx_0(F,B))) ) ) ) ) ) ) ) ) )).
fof(d4_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r4_fdiff_3(A,B) <=> ( ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(B,C),B),k1_relset_1(k1_numbers,A)) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v9_ordinal1(C) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k10_xtuple_0(D) = k1_tarski(B) & r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D)),k1_relset_1(k1_numbers,A)) & ! [E] : ( v7_ordinal1(E) => ~ r1_xxreal_0(k5_numbers,k1_funct_1(C,E)) ) ) => v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,C),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)))) ) ) ) ) ) ) ) )).
fof(d4_ff_siec,axiom,( ! [A] : k4_ff_siec(A) = k1_ff_siec(k1_xboole_0,k1_tarski(A)) )).
fof(d4_fib_num2,axiom,( k4_fib_num2 = a_0_1_fib_num2 )).
fof(d4_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k3_filter_0(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d4_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( m2_filter_1(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)))) ) => ( D = k3_filter_1(A,B,C) <=> ! [E] : ! [F] : ! [G] : ! [H] : ( ( r2_tarski(E,k8_eqrel_1(A,B)) & r2_tarski(F,k8_eqrel_1(A,B)) & r2_tarski(G,E) & r2_tarski(H,F) ) => k1_binop_1(D,E,F) = k6_eqrel_1(A,A,B,k1_binop_1(C,G,H)) ) ) ) ) ) ) ) )).
fof(d4_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_filter_2(A,B) = B ) ) )).
fof(d4_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_orders_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(B,k1_fin_topo(A,B)) ) ) ) )).
fof(d4_finance1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k5_finance1(A,B,C) = k1_funct_1(k3_series_1(k7_nat_1(k1_numbers,k3_finance1(B,C),1)),k6_xcmplx_0(A,1)) ) ) ) )).
fof(d4_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( B = k6_finance2(A) <=> ( k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),B,k5_numbers) = k1_prob_1(k1_numbers,k5_finance2(k5_numbers,A)) & ! [C] : ( v7_ordinal1(C) => k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),B,k1_nat_1(C,1)) = k1_finsub_1(k1_zfmisc_1(k1_numbers),k8_nat_1(k9_setfam_1(k1_numbers),B,C),k1_prob_1(k1_numbers,k5_finance2(k1_nat_1(C,1),A))) ) ) ) ) ) )).
fof(d4_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m1_finseq_1(B,A) <=> r1_tarski(k10_xtuple_0(B),A) ) ) )).
fof(d4_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : k4_finseq_2(A,B) = a_2_0_finseq_2(A,B) ) )).
fof(d4_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m2_finseq_1(C,k8_eqrel_1(A,B)) => ! [D] : ( m2_finseq_1(D,A) => ( r1_finseq_3(A,B,C,D) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,D)) => k6_eqrel_1(A,A,B,k1_funct_1(D,E)) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(d4_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : k4_finseq_4(A,B) = k1_funct_1(k14_finseq_1(k8_relat_1(A,k1_tarski(B))),1) ) )).
fof(d4_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( v7_ordinal1(D) => k5_finseq_5(A,B,C,D) = k8_finseq_1(A,k8_finseq_1(A,k17_finseq_1(A,D,B),k12_finseq_1(A,C)),k2_rfinseq(A,D,B)) ) ) ) ) )).
fof(d4_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k5_finseq_8(A,B,C) = k17_finseq_1(A,k7_nat_d(k3_finseq_1(B),k3_finseq_1(k3_finseq_8(A,B,C))),B) ) ) ) )).
fof(d4_finseqop,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k6_finseqop(A,B,C) = k3_relat_1(k15_funct_3(B,C),A) ) ) ) )).
fof(d4_finset_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_finset_1(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => v1_finset_1(k1_funct_1(A,B)) ) ) ) )).
fof(d4_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,C) => k4_fintopo2(A,B,C) = k7_margrel1 ) & ( ~ r2_tarski(B,C) => k4_fintopo2(A,B,C) = k6_margrel1 ) ) ) ) ) )).
fof(d4_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ( C = k4_fintopo3(A,B) <=> ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = k1_funct_1(C,D) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k1_nat_1(D,1)) = k8_fin_topo(A,E) ) ) ) & k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k5_numbers) = B ) ) ) ) ) )).
fof(d4_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k2_fintopo4(A) = g1_orders_2(k2_finseq_1(A),k1_fintopo4(A)) ) ) )).
fof(d4_fintopo5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B))))) => ( C = k4_fintopo5(A,B) <=> ! [D] : ( r2_tarski(D,k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B))) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( D = k4_tarski(E,F) => k1_fintopo5(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),C,D) = k2_xboole_0(k2_zfmisc_1(k1_tarski(E),k1_fintopo5(k2_finseq_1(B),k2_finseq_1(B),k1_fintopo4(B),F)),k2_zfmisc_1(k1_fintopo5(k2_finseq_1(A),k2_finseq_1(A),k1_fintopo4(A),E),k1_tarski(F))) ) ) ) ) ) ) ) ) )).
fof(d4_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r1_fintopo6(A,B) <=> ( v4_fin_topo(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_fin_topo(C,A) & r1_tarski(B,C) ) => B = C ) ) ) ) ) ) )).
fof(d4_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( B = k9_flang_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,A) & r2_tarski(D,A) & C = k5_afinsq_1(D) ) ) ) ) )).
fof(d4_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k1_fomodel0(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_tarski(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k1_funct_1(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d4_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k4_fomodel1(A) = k8_relset_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers,u1_fomodel1(A),k6_subset_1(k4_numbers,k4_ordinal1)) ) )).
fof(d4_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k5_fomodel3(A,B) <=> ( k9_xtuple_0(C) = k37_fomodel1(A) & ! [D] : ( ( v9_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => k1_funct_1(C,D) = k4_fomodel3(A,D,B) ) ) ) ) ) )).
fof(d4_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v3_fomodel4(B,A) <=> ( r1_tarski(B,k30_fomodel2(A)) & v1_finset_1(B) ) ) ) )).
fof(d4_frechet,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_frechet(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_frechet(A,B,C) ) ) ) ) )).
fof(d4_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_freealg(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_unialg_2(C,A) & r1_tarski(B,C) ) => C = u1_struct_0(A) ) ) ) ) ) )).
fof(d4_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k4_fscirc_1(A,B,C) = k2_circcomb(k3_fscirc_1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)))) )).
fof(d4_fscirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m2_subset_1(E,u1_struct_0(k1_fscirc_2(B,C,D)),k3_msafree2(k1_fscirc_2(B,C,D))) => ( E = k4_fscirc_2(A,B,C,D) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k1_nat_1(F,1) & E = k1_fscirc_1(k1_funct_1(C,A),k1_funct_1(D,A),k3_fscirc_2(F,C,D)) ) ) ) ) ) ) ) ) )).
fof(d4_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( r2_fsm_1(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & E = k1_funct_1(D,1) & k2_fsm_1(A,B,E,C) = D ) ) ) ) ) ) )).
fof(d4_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_fsm_3(C,A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => k3_fsm_3(A,B,C,D) = a_4_0_fsm_3(A,B,C,D) ) ) ) ) )).
fof(d4_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k4_ftacell1(A,B,C,D,E) = k12_gfacirc1(A,B,C) )).
fof(d4_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : k4_funcop_1(A,B,C) = k3_relat_1(k13_funct_3(B,k2_funcop_1(k9_xtuple_0(B),C)),A) ) ) )).
fof(d4_funcsdom,axiom,( ! [A] : k8_funcsdom(A) = k8_funcop_1(k4_ordinal1,A,k5_numbers) )).
fof(d4_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_funct_1(A) <=> ! [B] : ! [C] : ( ( r2_hidden(B,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(A)) & k1_funct_1(A,B) = k1_funct_1(A,C) ) => B = C ) ) ) )).
fof(d4_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) ) => ( v3_funct_2(C,A,B) <=> ( v2_funct_1(C) & v2_funct_2(C,B) ) ) ) )).
fof(d4_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k7_funct_3(A,B) <=> ( k9_xtuple_0(C) = k2_zfmisc_1(A,B) & ! [D] : ! [E] : ( ( r2_hidden(D,A) & r2_hidden(E,B) ) => k1_binop_1(C,D,E) = D ) ) ) ) )).
fof(d4_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k4_funct_4(A,B,C,D) = k1_funct_4(k17_funcop_1(A,C),k17_funcop_1(B,D)) )).
fof(d4_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k4_funct_5(A) = k2_funct_4(k2_funct_5(A)) ) )).
fof(d4_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k3_funct_6(A) = k1_setfam_1(k10_xtuple_0(A)) ) )).
fof(d4_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_funct_7(A,B) <=> ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_funcop_1(D) & C = k1_funct_1(D,k3_finseq_1(B)) & k1_funct_1(D,k5_numbers) = k6_partfun1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(B)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( ( F = k1_funct_1(D,E) & G = k1_funct_1(B,k1_nat_1(E,1)) ) => k1_funct_1(D,k1_nat_1(E,1)) = k3_relat_1(F,G) ) ) ) ) ) ) ) ) ) )).
fof(d4_functor0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ( m1_functor0(F,A,B,C,D,E) <=> m2_pboole(F,A,D,k3_relat_1(C,E)) ) ) ) ) ) ) )).
fof(d4_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ! [D] : ( m2_functor0(D,A,B) => ( r1_functor2(A,B,C,D) => ! [E] : ( m1_functor2(E,A,B,C,D) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,D,F))) => ( G = k2_functor2(A,B,C,D,E,F) <=> G = k1_funct_1(E,F) ) ) ) ) ) ) ) ) ) )).
fof(d4_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( r1_functor3(A,B,C,D) <=> ( r2_functor2(A,B,C,D) & r1_functor2(A,B,D,C) & ? [E] : ( m2_functor2(E,A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => v3_altcat_3(k2_functor2(A,B,C,D,E,F),B,k3_functor0(A,B,C,F),k3_functor0(A,B,D,F)) ) ) ) ) ) ) ) ) )).
fof(d4_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_fuznum_1(A,B) = a_2_0_fuznum_1(A,B) ) ) )).
fof(d4_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k2_fuzzy_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k1_numbers,D,E) = k4_xxreal_0(k3_funct_2(A,k1_numbers,B,E),k3_funct_2(A,k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d4_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => k4_fuzzy_2(A,B) = k5_funct_3(k1_xboole_0,k2_zfmisc_1(A,B)) ) ) )).
fof(d4_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ( C = k4_fuzzy_4(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),k2_zfmisc_1(A,B)) => ( ( D = E => k1_binop_1(C,D,E) = 1 ) & ( D != E => k1_binop_1(C,D,E) = k5_numbers ) ) ) ) ) ) ) )).
fof(d4_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( C = k5_numbers => ( D = k2_fvaluat1(A,B,C) <=> D = u1_struct_0(A) ) ) & ( C != k5_numbers => ( D = k2_fvaluat1(A,B,C) <=> ? [E] : ( m2_finseq_1(E,k1_zfmisc_1(u1_struct_0(A))) & D = k1_funct_1(E,k3_finseq_1(E)) & k3_finseq_1(E) = C & k1_funct_1(E,1) = B & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(E)) & r2_tarski(k2_xcmplx_0(F,1),k4_finseq_1(E)) ) => k1_funct_1(E,k2_xcmplx_0(F,1)) = k14_ideal_1(A,B,k7_partfun1(k1_zfmisc_1(u1_struct_0(A)),E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k5_fvsum_1(A,B) = k4_finseqop(u1_struct_0(A),u1_struct_0(A),B,k4_vectsp_1(A)) ) ) )).
fof(d4_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k4_gate_5(A,B,C,D) = k36_gate_1(k2_gate_1(B,C),k2_gate_1(A,D),k1_xboole_0,k2_gate_1(B,D),k1_xboole_0) )).
fof(d4_gaussint,axiom,( k3_gaussint = k1_realset1(k5_binop_2,k1_gaussint) )).
fof(d4_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_gcd_1(A,C,B) => ( C = k4_struct_0(A) | ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k1_gcd_1(A,B,C) <=> k8_group_1(A,D,C) = B ) ) ) ) ) ) ) )).
fof(d4_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_finseq_1(B,k3_card_3(A)) => ! [C] : ( m2_finseq_1(C,k3_card_3(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_genealg1(A,B,C,D,E,F) = k1_genealg1(A,k2_genealg1(A,B,C,D,E),k2_genealg1(A,C,B,D,E),F) ) ) ) ) ) ) )).
fof(d4_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ! [E] : ( v1_xreal_0(E) => ( E = k2_geomtrap(A,B,C,D) <=> ? [F] : ( v1_xreal_0(F) & D = k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)) ) ) ) ) ) ) ) ) )).
fof(d4_gfacirc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k4_gfacirc1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k2_binarith(B,k8_margrel1(C)) ) ) ) ) )).
fof(d4_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m2_subset_1(E,u1_struct_0(k1_gfacirc2(B,C,D)),k3_msafree2(k1_gfacirc2(B,C,D))) => ( E = k4_gfacirc2(A,B,C,D) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(F,1) & E = k12_gfacirc1(k1_funct_1(C,A),k1_funct_1(D,A),k3_gfacirc2(F,C,D)) ) ) ) ) ) ) ) ) )).
fof(d4_glib_000,axiom,( k4_glib_000 = 4 )).
fof(d4_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k1_glib_001(A,B) = k12_finseq_1(k6_glib_000(A),B) ) ) )).
fof(d4_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( r1_glib_002(A,B) <=> ( v3_glib_002(A) & ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ? [D] : ( v2_glib_001(D,A) & m3_glib_001(D,A) & r1_glib_001(A,B,C,D) ) ) ) ) ) )).
fof(d4_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_glib_003(A) <=> ( r2_tarski(k2_glib_003,k1_relset_1(k4_ordinal1,A)) & v1_relat_1(k1_funct_1(A,k2_glib_003)) & v4_relat_1(k1_funct_1(A,k2_glib_003),k7_glib_000(A)) & v1_funct_1(k1_funct_1(A,k2_glib_003)) & v1_partfun1(k1_funct_1(A,k2_glib_003),k7_glib_000(A)) ) ) ) )).
fof(d4_glib_004,axiom,( k2_glib_004 = k10_domain_1(k4_ordinal1,k1_glib_000,k2_glib_000,k3_glib_000,k4_glib_000,k2_glib_003) )).
fof(d4_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : ( r2_glib_005(A,B,C,D) <=> ( r1_glib_005(A,B,C,D) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k7_glib_000(A)) & v1_funct_1(E) & v1_partfun1(E,k7_glib_000(A)) & v4_valued_0(E) ) => ( r1_glib_005(A,E,C,D) => r1_xxreal_0(k1_glib_005(A,E,C,D),k1_glib_005(A,B,C,D)) ) ) ) ) ) ) )).
fof(d4_goboard1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v1_goboard1(A) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => v3_funct_1(k1_goboard1(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) ) )).
fof(d4_goboard5,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v1_goboard5(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k1_nat_1(B,1)) & ~ ( ~ ( ~ r1_xxreal_0(B,1) & ~ r1_xxreal_0(k3_finseq_1(A),C) ) & r1_xxreal_0(k3_finseq_1(A),k1_nat_1(C,1)) ) & ~ r1_xboole_0(k2_topreal1(2,A,B),k2_topreal1(2,A,C)) ) ) ) ) ) )).
fof(d4_gobrd13,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( D = k3_gobrd13(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(B)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,F) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,G,H) & ~ ( E = G & k1_nat_1(F,1) = H & D = k3_goboard5(B,G,H) ) & ~ ( k1_nat_1(E,1) = G & F = H & D = k3_goboard5(B,G,k7_nat_d(H,1)) ) & ~ ( E = k1_nat_1(G,1) & F = H & D = k3_goboard5(B,k7_nat_d(G,1),H) ) & ~ ( E = G & F = k1_nat_1(H,1) & D = k3_goboard5(B,k7_nat_d(G,1),k7_nat_d(H,1)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => k2_goedcpuc(A,B,C) = k4_tarski(4,k4_tarski(o_1_1_goedcpuc(A),k1_domain_1(k3_qc_lang1(A),k3_cqc_lang(A),C,B))) ) ) ) )).
fof(d4_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v4_qc_lang2(B,A) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( C = k2_goedelcp(A,B) <=> ? [D] : ( m1_subset_1(D,k9_qc_lang1(A)) & B = k5_qc_lang2(A,C,D) ) ) ) ) ) ) )).
fof(d4_gr_cy_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)))) ) => ( B = k3_gr_cy_1(A) <=> ! [C] : ( m1_subset_1(C,k5_card_1(A)) => ! [D] : ( m1_subset_1(D,k5_card_1(A)) => k4_binop_1(k5_card_1(A),B,C,D) = k2_nat_d(k2_xcmplx_0(C,D),A) ) ) ) ) ) ) )).
fof(d4_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k4_graph_1(A,B) = k3_funct_2(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),B) ) ) )).
fof(d4_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v2_graph_2(A) <=> ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k1_funct_1(A,k1_nat_1(B,1)) ) ) ) ) )).
fof(d4_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_graph_3(A,B) = k2_graph_3(A,B,u4_struct_0(A)) ) ) )).
fof(d4_graph_3a,axiom,( k4_graph_3a = k5_enumset1(k4_tarski(10,1),k4_tarski(20,2),k4_tarski(30,3),k4_tarski(40,2),k4_tarski(50,2),k4_tarski(60,3),k4_tarski(70,3)) )).
fof(d4_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : k2_graph_4(A,B) = a_2_1_graph_4(A,B) ) )).
fof(d4_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v7_graph_1(D,A) & m2_graph_1(D,A) ) => ! [E] : ( r2_graph_5(A,B,C,D,E) <=> ( r1_graph_5(A,D,B,C) & r1_tarski(k7_subset_1(u1_struct_0(A),k2_graph_5(A,D),k1_tarski(C)),E) ) ) ) ) ) ) )).
fof(d4_graphsp,axiom,( ! [A] : ( m2_funct_2(A,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ! [B] : ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) => ! [C] : ( v7_ordinal1(C) => ( ? [D] : ( v7_ordinal1(D) & k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),A),D),B),C) = k1_xboole_0 ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k8_graphsp(A,B,C) <=> ( k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),A),D),B),C) = k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => ( k7_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),A),E),B),C) = k1_xboole_0 => r1_xxreal_0(D,E) ) ) ) ) ) ) ) ) ) )).
fof(d4_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_grcat_1(A,B) = k1_realset1(u1_cat_1(A),k1_grcat_1(A,B)) ) ) )).
fof(d4_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r2_groeb_1(A,B,C,D,E) <=> ( k7_ideal_1(k12_polynom1(A,C),D) = E & v9_rewrite1(k3_polyred(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(d4_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k3_groeb_2(A,B,C,D,E) = k7_polynom1(A,C,k5_polynom7(A,C,k1_polyred(A,k1_groeb_2(A,k2_groeb_2(A,k3_termord(A,B,C,D),k3_termord(A,B,C,E)),k3_termord(A,B,C,D)),C,D),k4_termord(A,B,C,E)),k5_polynom7(A,C,k1_polyred(A,k1_groeb_2(A,k2_groeb_2(A,k3_termord(A,B,C,D),k3_termord(A,B,C,E)),k3_termord(A,B,C,E)),C,E),k4_termord(A,B,C,D))) ) ) ) ) ) )).
fof(d4_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( v7_ordinal1(E) => k5_groeb_3(A,B,C,D,E) = k2_groeb_3(A,C,D,k3_groeb_3(A,B,C,D,E)) ) ) ) ) ) )).
fof(d4_group_1,axiom,( ! [A] : ( l3_algstr_0(A) => ( v1_group_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k1_group_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = C & k6_algstr_0(A,B,C) = C ) ) ) ) ) ) )).
fof(d4_group_10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),k1_funct_2(A,A)) & v1_group_10(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(A,A)))) ) => ( r1_ordinal1(k4_card_1(B),k1_card_1(A)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k3_group_10(A,B),k3_group_10(A,B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(A,B),k3_group_10(A,B)))) ) => ( F = k4_group_10(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k3_group_10(A,B)) => k1_funct_1(F,G) = k7_relset_1(A,A,k1_group_10(C,A,E,D),G) ) ) ) ) ) ) ) ) ) )).
fof(d4_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => k4_group_11(A,B,C) = a_3_3_group_11(A,B,C) ) ) ) )).
fof(d4_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_group_19(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k5_group_19(A,B,C) = k1_group_17(B,k4_group_19(A,B,C),k17_funct_3(A,u1_struct_0(B),C,k4_group_19(A,B,C))) ) ) )).
fof(d4_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k5_group_2(A,B,C) = k2_group_2(A,C,k6_domain_1(u1_struct_0(A),B)) ) ) ) )).
fof(d4_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_group_3(A,B,C) = k3_group_3(A,B,k6_domain_1(u1_struct_0(A),C)) ) ) ) )).
fof(d4_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( C = k5_group_4(A,B) <=> ( r1_tarski(B,u1_struct_0(C)) & ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ( r1_tarski(B,u1_struct_0(D)) => m1_group_2(C,D) ) ) ) ) ) ) ) )).
fof(d4_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_group_5(A,B,C) = a_3_0_group_5(A,B,C) ) ) ) )).
fof(d4_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => k5_group_6(A,B) = g3_algstr_0(k15_group_2(A,B),k4_group_6(A,B)) ) ) )).
fof(d4_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( v3_group_7(B,A) <=> ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ( ( ~ v2_struct_0(D) & v3_group_1(D) & l3_algstr_0(D) ) => D != k1_funct_1(B,C) ) ) ) ) )).
fof(d4_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r4_gtarski1(A,B,C,D,E) <=> ( r1_gtarski1(A,B,C,D) & r1_gtarski1(A,B,C,E) & r1_gtarski1(A,B,D,E) & r1_gtarski1(A,C,D,E) ) ) ) ) ) ) ) )).
fof(d4_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v4_hahnban(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_rlvect_1(A,C,D)) = k3_xcmplx_0(D,k3_funct_2(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) ) )).
fof(d4_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( D = k4_hahnban1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = k4_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)) ) ) ) ) ) ) )).
fof(d4_helly,axiom,( ! [A] : ( v1_helly(A) <=> ! [B] : ( ~ v1_xboole_0(B) => ~ ( r1_tarski(B,A) & ! [C] : ! [D] : ~ ( r2_tarski(C,B) & r2_tarski(D,B) & r1_xboole_0(C,D) ) & k1_setfam_1(B) = k1_xboole_0 ) ) ) )).
fof(d4_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => k1_henmodel(A) = k3_qc_lang1(A) ) )).
fof(d4_heyting1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k7_normform(A),u1_struct_0(k11_normform(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k7_normform(A),u1_struct_0(k11_normform(A))))) ) => ( B = k4_heyting1(A) <=> ! [C] : ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => k3_funct_2(k7_normform(A),u1_struct_0(k11_normform(A)),B,C) = k2_heyting1(A,C) ) ) ) )).
fof(d4_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))))) ) => ( C = k4_heyting2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ! [E] : ( m2_subset_1(E,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ( E = D => k3_funct_2(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),C,D) = k3_substlat(A,B,k2_heyting2(A,B,E)) ) ) ) ) ) ) )).
fof(d4_heyting3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(k4_ordinal1,k1_tarski(B)))) => ( C = k4_heyting3(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ~ ( ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( r1_xxreal_0(E,A) & D = k2_heyting3(E,B) ) ) & D != k3_heyting3(A,B) ) ) ) ) ) ) )).
fof(d4_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k13_polynom3(A)))) ) => k4_hilbasis(A,B) = a_2_0_hilbasis(A,B) ) ) )).
fof(d4_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( m1_hilbert3(B,A) <=> ( k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v1_funct_1(k1_funct_1(B,C)) & v1_funct_2(k1_funct_1(B,C),k1_funct_1(A,C),k1_funct_1(A,C)) & v3_funct_2(k1_funct_1(B,C),k1_funct_1(A,C),k1_funct_1(A,C)) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)))) ) ) ) ) ) ) )).
fof(d4_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k4_hilbert4(A) = k7_subset_1(k1_relat_1(A),k6_subset_1(k1_relat_1(A),k32_fomodel0(A)),k3_hilbert4(A)) ) )).
fof(d4_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => k4_huffman1(A,B) = a_2_0_huffman1(A,B) ) ) )).
fof(d4_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k4_hurwitz(A,B,C) <=> ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(C,E) => k8_nat_1(u1_struct_0(A),D,E) = k1_binop_1(k4_group_1(A),B,k6_xcmplx_0(k6_xcmplx_0(C,E),1)) ) ) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(C,E) => k8_nat_1(u1_struct_0(A),D,E) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(d4_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k4_idea_1(A,B,C) = k4_nat_d(k2_xcmplx_0(B,C),k5_series_1(2,A)) ) ) ) )).
fof(d4_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v1_incproj(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ~ ( r1_incsp_1(A,B,D) & r1_incsp_1(A,C,D) & r1_incsp_1(A,B,E) & r1_incsp_1(A,C,E) & B != C & D != E ) ) ) ) ) ) ) )).
fof(d4_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ( r4_incsp_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( r2_tarski(D,B) => r1_incsp_1(A,D,C) ) ) ) ) ) ) )).
fof(d4_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) <=> ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ? [E] : ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) & C = k4_tarski(D,E) ) ) ) )).
fof(d4_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,A) => k2_instalg1(A,B,C) = k1_instalg1(B,A,C,k6_partfun1(u1_struct_0(B)),k6_partfun1(u4_struct_0(B))) ) ) ) )).
fof(d4_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r2_int_1(A,B,C) <=> r1_int_1(C,k6_xcmplx_0(A,B)) ) ) ) ) )).
fof(d4_int_2,axiom,( ! [A] : ( v1_int_1(A) => ( v1_int_2(A) <=> ( ~ r1_xxreal_0(A,1) & ! [B] : ( v7_ordinal1(B) => ~ ( r1_int_1(B,A) & B != 1 & B != A ) ) ) ) ) )).
fof(d4_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m1_int_6(B,A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ~ ( E = k7_xcmplx_0(k19_rvsum_1(A),k1_funct_1(A,C)) & r2_int_1(k3_xcmplx_0(D,E),1,k1_funct_1(A,C)) & k1_funct_1(B,C) = k3_xcmplx_0(D,k7_xcmplx_0(k19_rvsum_1(A),k1_funct_1(A,C))) ) ) ) ) ) ) ) ) ) )).
fof(d4_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => k3_int_7(A) = g3_algstr_0(k1_int_7(A),k2_int_7(A)) ) )).
fof(d4_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r2_integr10(A,B,C) => ! [D] : ( v1_xreal_0(D) => ( D = k2_integr10(A,B,C) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,E) = k4_rcomp_1(B,C) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k1_relset_1(k1_numbers,E)) => k1_funct_1(E,F) = k4_integra5(F,C,A) ) ) & r4_limfunc2(E,B) & D = k2_limfunc2(E,B) ) ) ) ) ) ) ) )).
fof(d4_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( m2_integr15(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( E = k3_integr15(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,E,F) = k1_integr15(A,B,k2_integra2(A,C,F),k2_integr15(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(d4_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( m2_integr16(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( E = k5_integr16(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k2_numbers,E,F) = k3_integr16(A,B,k2_integra2(A,C,F),k4_integr16(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(d4_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( m2_integr18(E,A,B,C,D) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( F = k3_integr18(A,B,C,D,E) <=> ! [G] : ( v7_ordinal1(G) => k1_normsp_0(A,F,G) = k1_integr18(A,B,C,k2_integra2(B,D,G),k2_integr18(A,B,C,D,E,G)) ) ) ) ) ) ) ) ) )).
fof(d4_integr1c,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_integr1c(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( r1_tarski(k2_relset_1(k2_numbers,B),k1_relset_1(k2_numbers,A)) => ! [C] : ( v1_xcmplx_0(C) => ( C = k3_integr1c(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [G] : ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_numbers)) & r1_xxreal_0(D,E) & k1_rcomp_1(D,E) = k1_relset_1(k1_numbers,B) & r1_tarski(k1_rcomp_1(D,E),k1_relset_1(k1_numbers,F)) & r1_tarski(k1_rcomp_1(D,E),k1_relset_1(k1_numbers,G)) & v3_rcomp_1(H) & r1_tarski(k1_rcomp_1(D,E),H) & r2_fdiff_1(F,H) & r2_fdiff_1(G,H) & v1_fcont_1(k2_fdiff_1(F,H)) & v1_fcont_1(k2_fdiff_1(G,H)) & r2_relset_1(k1_numbers,k2_numbers,B,k2_partfun1(k1_numbers,k2_numbers,k2_valued_1(k1_numbers,k1_numbers,k2_numbers,F,k25_valued_1(k1_numbers,k1_numbers,G,k7_complex1)),k1_rcomp_1(D,E))) & C = k2_integr1c(D,E,F,G,H,A) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ! [D] : ( ( ~ v1_xboole_0(D) & v2_measure5(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( C = 1 => ( D = k2_integra1(A,B,C) <=> ( k3_seq_4(D) = k3_seq_4(A) & k2_seq_4(D) = k1_funct_1(B,C) ) ) ) & ( C != 1 => ( D = k2_integra1(A,B,C) <=> ( k3_seq_4(D) = k1_funct_1(B,k6_xcmplx_0(C,1)) & k2_seq_4(D) = k1_funct_1(B,C) ) ) ) ) ) ) ) ) ) )).
fof(d4_integra5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) => k4_integra5(A,B,C) = k2_integra5(k3_integra5(A,B),C) ) & ( ~ r1_xxreal_0(A,B) => k4_integra5(A,B,C) = k4_xcmplx_0(k2_integra5(k3_integra5(B,A),C)) ) ) ) ) ) )).
fof(d4_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => k4_interva1(A,B,C) = k2_setfam_1(B,C) ) ) ) )).
fof(d4_irrat_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k4_irrat_1 <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k2_power(k2_xcmplx_0(1,k7_xcmplx_0(1,B)),B) ) ) ) )).
fof(d4_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r1_isocat_1(A,B) <=> ? [C] : ( m2_cat_1(C,A,B) & v12_cat_1(C,A,B) ) ) ) ) )).
fof(d4_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m2_cat_1(E,A,k9_nattra_1(B,C)) => ( E = k5_isocat_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => k3_funct_2(u4_struct_0(A),u4_struct_0(k9_nattra_1(B,C)),E,F) = k4_tarski(k4_tarski(k10_cat_2(A,B,C,D,k3_graph_1(A,F)),k10_cat_2(A,B,C,D,k4_graph_1(A,F))),k4_isocat_2(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(d4_isomichi,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_tops_1(A,B) = k7_subset_1(u1_struct_0(A),k2_pre_topc(A,B),k1_tops_1(A,B)) ) ) )).
fof(d4_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) => ( r1_xxreal_0(k18_euclid(B),k5_numbers) | k4_jgraph_4(A,B) = k1_rlvect_1(k15_euclid(2),k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A)),k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A)))))),k12_euclid(B)) ) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k18_euclid(B),k5_numbers) & k4_jgraph_4(A,B) != k1_rlvect_1(k15_euclid(2),k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A)),k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A)))))),k12_euclid(B)) ) & ~ ( ~ ( r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k18_euclid(B),k5_numbers) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k18_euclid(B),k5_numbers) ) & k4_jgraph_4(A,B) != B ) ) ) ) )).
fof(d4_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k4_jgraph_6(A,B,C,D) = a_4_3_jgraph_6(A,B,C,D) ) ) ) ) )).
fof(d4_jordan,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) => ( A = k6_jordan <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers,A,B) = k6_xcmplx_0(k18_euclid(k1_jordan(k15_euclid(2),k15_euclid(2),B)),k18_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B))) ) ) ) )).
fof(d4_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k4_jordan19(A) = k1_kurato_2(k15_euclid(2),k2_jordan19(A)) ) )).
fof(d4_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ( r4_jordan20(A,B,C,D,E) <=> ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & k17_euclid(D) = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & ~ r1_xxreal_0(k17_euclid(F),E) & r1_jordan5c(A,B,C,D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan5c(A,B,C,G,F) & r1_jordan5c(A,B,C,D,G) ) => r1_xxreal_0(E,k17_euclid(G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_jordan24,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_jordan24(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(D,A) => v4_pre_topc(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(d4_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k1_jordan2c(A,B) = k3_tarski(a_2_0_jordan2c(A,B)) ) ) )).
fof(d4_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( B != k1_funct_1(A,1) => k3_jordan3(A,B) = k8_finseq_1(u1_struct_0(k15_euclid(2)),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,1,k1_jordan3(A,B)),k12_finseq_1(u1_struct_0(k15_euclid(2)),B)) ) & ( B = k1_funct_1(A,1) => k3_jordan3(A,B) = k12_finseq_1(u1_struct_0(k15_euclid(2)),B) ) ) ) ) )).
fof(d4_jordan4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r3_jordan4(A,B,C,D) <=> ( r1_jordan4(A,B,C,D) | r2_jordan4(A,B,C,D) ) ) ) ) ) ) )).
fof(d4_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k4_jordan5d(A) <=> ( r2_hidden(k4_tarski(k3_finseq_1(k2_goboard2(A)),B),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),B) = k22_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d4_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => k4_jordan6(A,B,C,D) = a_4_1_jordan6(A,B,C,D) ) ) ) ) )).
fof(d4_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_jordan_a(C,A) => ( ( r1_xxreal_0(1,B) => ( r1_xxreal_0(k3_finseq_1(C),B) | k2_jordan_a(A,B,C) = k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,B),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1))) ) ) & ( ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(C),B) ) => k2_jordan_a(A,B,C) = k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,1)) ) ) ) ) ) )).
fof(d4_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k3_knaster(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v5_ordinal1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_numbers) = C & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_funct_1(B,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_numbers | k1_funct_1(F,G) = k15_lattice3(A,k2_relset_1(k10_xtuple_0(F),k5_relat_1(F,G))) ) ) ) ) ) ) ) ) ) )).
fof(d4_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) => ! [E] : ( m1_kolmog01(E,C,A,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( m2_kolmog01(F,A,B,C,D,E) <=> ! [G] : ( r2_tarski(G,D) => r2_tarski(k1_funct_1(F,G),k13_prob_1(A,C,B,E,G)) ) ) ) ) ) ) ) )).
fof(d4_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) <=> ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_funct_1(B,C),k3_funct_2(k4_ordinal1,k9_setfam_1(A),B,k1_nat_1(C,1))) ) ) ) )).
fof(d4_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_kurato_1(A,B) = k4_enumset1(k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)))))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)))))))) ) ) )).
fof(d4_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( B = k3_lagra4sq(A) <=> ( k3_finseq_1(B) = A & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k6_xcmplx_0(k4_xcmplx_0(1),k1_pepin(k6_xcmplx_0(C,1))) ) ) ) ) ) ) )).
fof(d4_lang1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( m2_finseq_2(B,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r2_lang1(A,B,C) <=> ? [D] : ( m2_finseq_2(D,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) & ? [E] : ( m2_finseq_2(E,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) & ? [F] : ( m2_finseq_2(F,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_relset_1(k4_ordinal1,u1_struct_0(A),B,k1_pre_poly(u1_struct_0(A),k1_pre_poly(u1_struct_0(A),D,k3_pre_poly(u1_struct_0(A),G)),E)) & r2_relset_1(k4_ordinal1,u1_struct_0(A),C,k1_pre_poly(u1_struct_0(A),k1_pre_poly(u1_struct_0(A),D,F),E)) & r1_lang1(A,G,F) ) ) ) ) ) ) ) ) )).
fof(d4_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),C,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => k5_laplace(A,B,C,D,E) = k12_matrix_3(k7_nat_d(C,1),D,k2_laplace(A,B,C,D,E)) ) ) ) ) ) )).
fof(d4_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v4_lattad_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k1_lattices(A,B,C),k1_lattices(A,B,D)) ) ) ) ) ) )).
fof(d4_lattice2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k3_lattice2(A,B,C,D) = k7_setwiseo(A,u1_struct_0(B),u1_lattices(B),C,D) ) ) ) ) )).
fof(d4_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_lattice3(A))) => k5_lattice3(A,B) = B ) ) )).
fof(d4_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,A,B) => ( r2_lattice4(A,B,C) <=> k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_lattices(A)) = k6_lattices(B) ) ) ) ) )).
fof(d4_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_yellow_0(B,k1_lattice5(A)) & v6_yellow_0(B,k1_lattice5(A)) & m1_yellow_0(B,k1_lattice5(A)) ) => ~ ( ? [C] : ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & r2_tarski(C,u1_struct_0(B)) & C != k6_partfun1(A) ) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( ( v1_partfun1(E,A) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [F] : ! [G] : ~ ( r2_tarski(D,u1_struct_0(B)) & r2_tarski(E,u1_struct_0(B)) & r2_hidden(k4_tarski(F,G),k5_eqrel_1(A,D,E)) & ! [H] : ( ( ~ v1_xboole_0(H) & m2_finseq_1(H,A) ) => ~ ( k3_finseq_1(H) = C & r1_lattice5(A,H,F,G,D,E) ) ) ) ) ) ) & ~ ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k2_lattice5(A,B) <=> ( ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( ( v1_partfun1(E,A) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [F] : ! [G] : ~ ( r2_tarski(D,u1_struct_0(B)) & r2_tarski(E,u1_struct_0(B)) & r2_hidden(k4_tarski(F,G),k5_eqrel_1(A,D,E)) & ! [H] : ( ( ~ v1_xboole_0(H) & m2_finseq_1(H,A) ) => ~ ( k3_finseq_1(H) = k1_nat_1(C,2) & r1_lattice5(A,H,F,G,D,E) ) ) ) ) ) & ? [D] : ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ? [E] : ( v1_partfun1(E,A) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ? [F] : ? [G] : ( r2_tarski(D,u1_struct_0(B)) & r2_tarski(E,u1_struct_0(B)) & r2_hidden(k4_tarski(F,G),k5_eqrel_1(A,D,E)) & ! [H] : ( ( ~ v1_xboole_0(H) & m2_finseq_1(H,A) ) => ~ ( k3_finseq_1(H) = k1_nat_1(C,1) & r1_lattice5(A,H,F,G,D,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v2_lattice6(A) <=> v1_wellfnd1(k7_lattice3(k3_lattice3(A))) ) ) )).
fof(d4_lattice7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_lattice7(A,B,C) <=> ( r2_orders_2(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_orders_2(A,B,D) & r2_orders_2(A,D,C) ) ) ) ) ) ) ) )).
fof(d4_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k1_lattice8(A),k1_lattice8(A)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lattice8(A),k1_lattice8(A)),u1_struct_0(B)))) ) => ( E = k2_lattice8(A,B,C,D) <=> ( ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => k1_binop_1(E,F,G) = k3_lattice5(A,B,C,F,G) ) ) & k1_binop_1(E,k1_tarski(A),k1_tarski(A)) = k3_yellow_0(B) & k1_binop_1(E,k1_tarski(k1_tarski(A)),k1_tarski(k1_tarski(A))) = k3_yellow_0(B) & k1_binop_1(E,k1_tarski(A),k1_tarski(k1_tarski(A))) = k12_lattice3(B,k13_lattice3(B,k3_lattice5(A,B,C,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,k1_tarski(k1_tarski(A)),k1_tarski(A)) = k12_lattice3(B,k13_lattice3(B,k3_lattice5(A,B,C,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & ! [F] : ( m1_subset_1(F,A) => ( k1_binop_1(E,F,k1_tarski(A)) = k13_lattice3(B,k3_lattice5(A,B,C,F,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,k1_tarski(A),F) = k13_lattice3(B,k3_lattice5(A,B,C,F,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,F,k1_tarski(k1_tarski(A))) = k13_lattice3(B,k3_lattice5(A,B,C,F,k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) & k1_binop_1(E,k1_tarski(k1_tarski(A)),F) = k13_lattice3(B,k3_lattice5(A,B,C,F,k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)) ) ) ) ) ) ) ) ) ) )).
fof(d4_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ( v4_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(d4_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v4_valued_0(D) ) => ( D = k3_lexbfs(A,B,C) <=> ( k9_xtuple_0(D) = k9_xtuple_0(A) & ! [E] : ( ( ( r2_hidden(E,B) & r2_hidden(E,k9_xtuple_0(A)) ) => k1_funct_1(D,E) = k2_xcmplx_0(k1_funct_1(A,E),C) ) & ( ~ r2_hidden(E,B) => k1_funct_1(D,E) = k1_funct_1(A,E) ) ) ) ) ) ) ) )).
fof(d4_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_lfuzzy_0(A) = k5_yellow_1(A,k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1))) ) )).
fof(d4_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_limfunc1(A) <=> ! [B] : ( v1_xreal_0(B) => ? [C] : ( v7_ordinal1(C) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(C,D) & r1_xxreal_0(k1_funct_1(A,D),B) ) ) ) ) ) ) )).
fof(d4_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r4_limfunc2(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,D) & ~ r1_xxreal_0(D,B) & r2_hidden(D,k1_relset_1(k1_numbers,A)) ) ) ) ) & ? [C] : ( v1_xreal_0(C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = B & r1_tarski(k2_relset_1(k1_numbers,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) = C ) ) ) ) ) ) ) ) )).
fof(d4_limfunc3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_limfunc3(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k1_limfunc3(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = B & r1_tarski(k10_xtuple_0(D),k6_subset_1(k9_xtuple_0(A),k1_tarski(B))) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) = C ) ) ) ) ) ) ) ) )).
fof(d4_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => k5_lopban_1(A,B) = g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B)) ) ) )).
fof(d4_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k10_lopban_1(A,A),k10_lopban_1(A,A)),k10_lopban_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A,A),k10_lopban_1(A,A)),k10_lopban_1(A,A)))) ) => ( B = k5_lopban_2(A) <=> ! [C] : ( m2_subset_1(C,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => k4_binop_1(k10_lopban_1(A,A),B,C,D) = k3_lopban_2(A,D,C) ) ) ) ) ) )).
fof(d4_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v25_algstr_0(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k6_algstr_0(A,B,C) = k5_struct_0(A) & k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) )).
fof(d4_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k3_lopban_4(A) <=> ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,A) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(1,k3_xcmplx_0(k2_newton(C),k2_newton(k7_nat_d(A,C)))) ) & ( ~ r1_xxreal_0(C,A) => k8_nat_1(k1_numbers,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d4_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k5_lopban_7(A,B,C) = g1_normsp_1(k3_lopban_7(A,B,C),k7_rsspace(k7_prvect_3(A,B),k3_lopban_7(A,B,C)),k5_rsspace(k7_prvect_3(A,B),k3_lopban_7(A,B,C)),k6_rsspace(k7_prvect_3(A,B),k3_lopban_7(A,B,C)),k4_lopban_7(A,B,C)) ) ) ) )).
fof(d4_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k6_lopclset(A) = g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)) ) )).
fof(d4_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_numbers,k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)))) ) => ( B = k8_lpspacc1(A) <=> ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m2_rfunct_3(D,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => k1_binop_1(B,C,D) = k5_lpspacc1(A,k2_numbers,D,C) ) ) ) ) ) )).
fof(d4_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)))) ) => ( B = k4_lpspace1(A) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_rfunct_3(D,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => k1_binop_1(B,C,D) = k12_rfunct_3(A,k1_numbers,D,C) ) ) ) ) ) )).
fof(d4_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => k3_lpspace2(A,B,C,D) = a_4_1_lpspace2(A,B,C,D) ) ) ) ) )).
fof(d4_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k4_ltlaxio1(A,B) = k1_ltlaxio1(k3_hilbert1(A,k1_ltlaxio1(B))) ) ) )).
fof(d4_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ( B = k4_ltlaxio2(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(B,C) = k1_ltlaxio1(k7_partfun1(k1_hilbert1,A,C)) ) ) ) ) ) ) )).
fof(d4_ltlaxio3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_hilbert1,k9_setfam_1(k1_hilbert1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k9_setfam_1(k1_hilbert1)))) ) => ( A = k4_ltlaxio3 <=> ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k2_hilbert1) = k6_domain_1(k1_hilbert1,k2_hilbert1) & k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k1_hilbert2(D)) = k6_domain_1(k1_hilbert1,k1_hilbert2(D)) & k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k3_hilbert1(B,C)) = k4_subset_1(k1_hilbert1,k4_subset_1(k1_hilbert1,k6_domain_1(k1_hilbert1,k3_hilbert1(B,C)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,B)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,C)) & k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k4_hilbert1(B,C)) = k6_domain_1(k1_hilbert1,k4_hilbert1(B,C)) ) ) ) ) ) ) )).
fof(d4_ltlaxio4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => k4_ltlaxio4(A) = a_1_1_ltlaxio4(A) ) )).
fof(d4_margrel1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_finseq_1(B) & v2_card_3(B) ) => ( m1_margrel1(B,A) <=> ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(C,B) => k3_finseq_1(C) = A ) ) ) ) ) )).
fof(d4_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_mathmorp(A,B,C) = k6_rusub_4(A,k3_mathmorp(A,B,C),C) ) ) ) )).
fof(d4_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,C,A,B) & m2_finseq_1(E,k3_finseq_2(C)) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,C,A,B) & m2_finseq_1(F,k3_finseq_2(C)) ) => ( F = k4_matrix11(A,B,C,D,E) <=> ( k3_finseq_1(F) = k3_finseq_1(E) & k1_matrix_0(F) = k1_matrix_0(E) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_hidden(k4_tarski(G,H),k2_matrix_0(E)) & k1_funct_1(D,G) = I ) => k3_matrix_0(C,F,G,H) = k3_matrix_0(C,E,I,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k2_finseq_1(k1_matrix_0(D))) & r2_tarski(F,k2_finseq_1(k1_matrix_0(D))) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(B,k5_numbers) | ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(C),A,B) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(C))) ) => ( G = k4_matrix12(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(H,k4_finseq_1(D)) & r2_tarski(I,k2_finseq_1(k1_matrix_0(D))) ) => ( ( I = E => k3_matrix_0(u1_struct_0(C),G,H,I) = k3_matrix_0(u1_struct_0(C),D,H,F) ) & ( I = F => k3_matrix_0(u1_struct_0(C),G,H,I) = k3_matrix_0(u1_struct_0(C),D,H,E) ) & ~ ( I != E & I != F & k3_matrix_0(u1_struct_0(C),G,H,I) != k3_matrix_0(u1_struct_0(C),D,H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k8_matrix13(A,B) <=> ( ? [D] : ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & ? [E] : ( v1_finset_1(E) & v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) & r1_tarski(k2_zfmisc_1(D,E),k2_matrix_0(B)) & k4_card_1(D) = k4_card_1(E) & k4_card_1(D) = C & k12_matrix_3(k4_card_1(D),A,k7_matrix13(u1_struct_0(A),B,D,E)) != k4_struct_0(A) ) ) & ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ! [E] : ( ( v1_finset_1(E) & v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ( ( r1_tarski(k2_zfmisc_1(D,E),k2_matrix_0(B)) & k4_card_1(D) = k4_card_1(E) ) => ( k12_matrix_3(k4_card_1(D),A,k7_matrix13(u1_struct_0(A),B,D,E)) = k4_struct_0(A) | r1_xxreal_0(k4_card_1(D),C) ) ) ) ) ) ) ) ) ) )).
fof(d4_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k5_matrix15(A,B,C) = a_3_2_matrix15(A,B,C) ) ) ) )).
fof(d4_matrix16,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_matrix16(A,B,C) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) => k3_matrix_0(A,B,D,E) = k1_funct_1(C,k2_xcmplx_0(k5_int_1(k6_xcmplx_0(D,E),k3_finseq_1(C)),1)) ) ) ) ) ) ) ) )).
fof(d4_matrix17,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_matrix17(A,B,C) <=> ( k3_finseq_1(C) = k1_matrix_0(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) => ( k2_xcmplx_0(D,E) = k2_xcmplx_0(k3_finseq_1(C),1) | k3_matrix_0(A,B,D,E) = k1_funct_1(C,k5_int_1(k6_xcmplx_0(k2_xcmplx_0(D,E),1),k3_finseq_1(C))) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & k2_xcmplx_0(D,E) = k2_xcmplx_0(k3_finseq_1(C),1) ) => k3_matrix_0(A,B,D,E) = k1_funct_1(C,k3_finseq_1(C)) ) ) ) ) ) ) ) )).
fof(d4_matrix_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_matrix_0(A) ) => k2_matrix_0(A) = k2_zfmisc_1(k4_finseq_1(A),k2_finseq_1(k1_matrix_0(A))) ) )).
fof(d4_matrix_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( D = k4_matrix_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(A),D,E,F) = k4_algstr_0(A,k3_matrix_0(u1_struct_0(A),C,E,F)) ) ) ) ) ) ) ) ) )).
fof(d4_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( k1_matrix_0(B) = k3_finseq_1(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( D = k4_matrix_3(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & k1_matrix_0(D) = k1_matrix_0(C) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(A),D,E,F) = k13_fvsum_1(A,k7_matrix_0(u1_struct_0(A),B,E),k8_matrix_0(u1_struct_0(A),C,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k4_matrix_5(A) = k2_matrix_5(k2_matrix_3(k1_complfld,k1_matrix_5(A))) ) )).
fof(d4_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_6(C,A,B) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( D = k1_matrix_6(A,B,C) <=> r2_matrix_6(A,B,D,C) ) ) ) ) ) ) )).
fof(d4_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( C = k4_matrix_7(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A),C,D) = k2_group_1(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) ) ) ) ) )).
fof(d4_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrixj1(B,A) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( C = k9_matrixj1(A,B) <=> ( k4_finseq_1(C) = k4_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_matrix_0(k2_matrixj1(A,B,D)) ) ) ) ) ) ) ) )).
fof(d4_matrixj2,axiom,( ! [A] : ( l6_algstr_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( v2_matrixj2(C,A,B) <=> ? [D] : ( v7_ordinal1(D) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,D),E) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(d4_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => k4_matrixr1(A) = k2_matrixr1(k2_matrix_3(k2_vectsp_1,k1_matrixr1(A))) ) )).
fof(d4_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k6_matrixr2(A,B) = k2_funct_7(k4_ordinal1,k5_finseq_2(k4_ordinal1,A,k5_numbers),B,1) ) ) )).
fof(d4_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( F = k4_matrlin(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),F,G) = k3_vectsp_1(A,C,E,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,G)) ) ) ) ) ) ) ) ) )).
fof(d4_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_matroid0(A) <=> ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(B,k1_matroid0(A)) & r2_tarski(C,k1_matroid0(A)) & k4_card_1(C) = k1_nat_1(k4_card_1(B),1) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k7_subset_1(u1_struct_0(A),C,B)) & r2_tarski(k2_xboole_0(B,k1_tarski(D)),k1_matroid0(A)) ) ) ) ) ) ) ) )).
fof(d4_matrprob,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(C) & k3_finseq_1(B) = k1_matrix_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(k1_numbers)) ) => ( D = k6_matrprob(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(A) & k1_matrix_0(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) => k3_matrix_0(k1_numbers,D,E,F) = k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,E),k3_matrix_0(k1_numbers,C,E,F)),k1_funct_1(B,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v2_matrtop3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k12_euclid(C) = k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),B,C)) ) ) ) ) )).
fof(d4_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k1_mazurulm(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k5_algstr_0(A,k1_rlvect_1(A,B,2),D) ) ) ) ) ) )).
fof(d4_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( m1_measure1(D,A,B,C) <=> k12_supinf_2(C,D) = k1_supinf_2 ) ) ) ) )).
fof(d4_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),k2_measure3(A,B,C)) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( E = k3_measure3(A,B,C,D) <=> ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,B) & r1_tarski(F,D) & m1_measure3(k7_subset_1(A,D,F),A,B,C) ) ) ) ) ) ) ) )).
fof(d4_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v3_measure5(A) <=> ? [B] : ( v1_xreal_0(B) & ? [C] : ( m1_subset_1(C,k6_numbers) & A = k3_rcomp_1(B,C) ) ) ) ) )).
fof(d4_measure6,axiom,( ! [A] : ( v3_membered(A) => ( v2_xxreal_2(A) <=> ( v4_xxreal_2(A) & r2_hidden(k2_seq_4(A),A) ) ) ) )).
fof(d4_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_measure7(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( C = k3_measure7(A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => k12_supinf_2(C,D) = k2_measure5(k2_measure7(A,B,D)) ) ) ) ) ) )).
fof(d4_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))))) ) => ( m4_measure8(D,A,B,C) <=> ! [E] : ( v7_ordinal1(E) => m3_measure8(k8_nat_1(k9_funct_2(k4_ordinal1,k9_setfam_1(A)),D,E),A,k8_nat_1(k9_setfam_1(A),C,E),B) ) ) ) ) ) )).
fof(d4_member_1,axiom,( ! [A] : ( v1_membered(A) => k7_member_1(A) = a_1_3_member_1(A) ) )).
fof(d4_membered,axiom,( ! [A] : ( v4_membered(A) <=> ! [B] : ( r2_hidden(B,A) => v1_rat_1(B) ) ) )).
fof(d4_mesfun6c,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( D = k2_mesfun6c(A,B,C) <=> ( k1_relset_1(B,D) = k1_relset_1(B,C) & ! [E] : ( m1_subset_1(E,B) => ( r2_tarski(E,k1_relset_1(B,D)) => k12_supinf_2(D,E) = k2_power(k12_supinf_2(C,E),A) ) ) ) ) ) ) ) ) )).
fof(d4_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k4_mesfun7c(A,B) = k3_mesfunc8(A,k1_mesfun7c(A,B)) ) ) )).
fof(d4_mesfunc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( D = k4_mesfunc1(A,B,C) <=> ( k9_xtuple_0(D) = k6_subset_1(k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)),k2_xboole_0(k3_xboole_0(k8_relat_1(B,k1_tarski(k1_supinf_1)),k8_relat_1(C,k1_tarski(k1_supinf_1))),k3_xboole_0(k8_relat_1(B,k1_tarski(k2_supinf_1)),k8_relat_1(C,k1_tarski(k2_supinf_1))))) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k9_xtuple_0(D)) => k12_supinf_2(D,E) = k4_supinf_2(k12_supinf_2(B,E),k12_supinf_2(C,E)) ) ) ) ) ) ) ) ) )).
fof(d4_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfunc2(A,B,C) <=> ( v3_valued_0(C) & ? [D] : ( v1_prob_2(D) & m2_finseq_1(D,B) & k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(E,k4_finseq_1(D)) & r2_tarski(F,k1_funct_1(D,E)) & r2_tarski(G,k1_funct_1(D,E)) ) => k12_supinf_2(C,F) = k12_supinf_2(C,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r3_mesfunc6(A,B,C,D) <=> r1_mesfunc5(A,B,C,k1_mesfunc5(A,D)) ) ) ) ) ) )).
fof(d4_mesfunc7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( D = k5_mesfunc7(A,B,C) <=> ( k1_relset_1(B,D) = k1_relset_1(B,C) & ! [E] : ( m1_subset_1(E,B) => ( r2_tarski(E,k1_relset_1(B,D)) => k12_supinf_2(D,E) = k4_mesfunc7(k12_supinf_2(C,E),A) ) ) ) ) ) ) ) ) )).
fof(d4_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k2_mesfunc8(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k12_supinf_2(C,D) = k1_rinfsup2(k3_mesfunc5(A,B,D)) ) ) ) ) ) ) ) )).
fof(d4_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( C = k3_mesfunc9(A,B) <=> ( r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,C,k5_numbers),k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,C,k1_nat_1(D,1)),k3_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,D),k4_mesfunc5(A,k6_numbers,B,k1_nat_1(D,1)))) ) ) ) ) ) ) )).
fof(d4_metric_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v4_metric_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => k1_binop_1(B,C,D) = k1_binop_1(B,D,C) ) ) ) ) )).
fof(d4_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => k2_metric_2(A) = a_1_0_metric_2(A) ) )).
fof(d4_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers))) ) => ( D = k4_metric_3(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ! [K] : ( m1_subset_1(K,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ! [L] : ( m1_subset_1(L,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ( ( K = k4_domain_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,G,I) & L = k4_domain_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),F,H,J) ) => k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,D,K,L) = k2_xcmplx_0(k2_xcmplx_0(k3_metric_1(A,E,F),k3_metric_1(B,G,H)),k3_metric_1(C,I,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => k2_mfold_0(A) = k3_subset_1(u1_struct_0(A),k1_mfold_0(A)) ) )).
fof(d4_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_mfold_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_connsp_2(D,B,C) & ? [E] : ( v3_pre_topc(E,k15_euclid(A)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & r1_metrizts(B,k15_euclid(A),D,E) ) ) ) ) ) ) )).
fof(d4_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => k4_mfold_2(A) = k8_toprealb(k2_xcmplx_0(A,1)) ) )).
fof(d4_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_midsp_1(A,B,C,D,E) <=> k3_midsp_1(A,B,E) = k3_midsp_1(A,C,D) ) ) ) ) ) ) )).
fof(d4_midsp_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_midsp_2(A,B,C) => ! [F] : ( m1_subset_1(F,A) => ( F = k2_midsp_2(A,B,C,D,E) <=> k2_binop_1(A,A,u1_struct_0(B),C,D,F) = E ) ) ) ) ) ) ) ) )).
fof(d4_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_midsp_1(C) & l1_midsp_3(C,k1_nat_1(A,2)) ) => ( r1_midsp_3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(C),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(C))) => k4_midsp_3(A,C,D,k6_midsp_3(A,C,E,B,D)) = D ) ) ) ) ) ) )).
fof(d4_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k4_mmlquery(A,B,C) = a_3_1_mmlquery(A,B,C) ) ) )).
fof(d4_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( l1_mod_2(B,A) => k3_mod_2(A,B) = u2_mod_2(A,B) ) ) )).
fof(d4_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( m1_mod_3(C,A,B) <=> v1_mod_3(C,A,B) ) ) ) ) )).
fof(d4_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v7_vectsp_1(C,k2_mod_4(A)) & l1_vectsp_1(C,k2_mod_4(A)) ) => ( C = k5_mod_4(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(k2_mod_4(A)),u1_struct_0(B)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_mod_4(A)),u1_struct_0(B)),u1_struct_0(B)))) ) => ( r1_funct_2(k2_zfmisc_1(u1_struct_0(k2_mod_4(A)),u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),D,k1_mod_4(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B))) => C = g1_vectsp_1(k2_mod_4(A),u1_struct_0(B),u1_algstr_0(B),k4_struct_0(B),D) ) ) ) ) ) ) )).
fof(d4_modal_1,axiom,( k4_modal_1 = k2_zfmisc_1(k8_domain_1(k4_ordinal1,k5_numbers,1,2),k4_ordinal1) )).
fof(d4_modelc_1,axiom,( ! [A] : ( ( v1_xboolean(A) => k4_modelc_1(A) = A ) & ( ~ v1_xboolean(A) => k4_modelc_1(A) = k6_margrel1 ) ) )).
fof(d4_modelc_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k4_modelc_2(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,1),A),B) ) ) )).
fof(d4_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_tarski(C,u2_modelc_3(A,B)) => ! [D] : ( ( v1_modelc_3(D,A) & l1_modelc_3(D,A) ) => ( D = k5_modelc_3(A,B,C) <=> ( u1_modelc_3(A,D) = k2_xboole_0(u1_modelc_3(A,B),k1_tarski(C)) & u2_modelc_3(A,D) = k2_xboole_0(k7_subset_1(k1_modelc_3(A),u2_modelc_3(A,B),k1_tarski(C)),k7_subset_1(k1_modelc_3(C),k2_modelc_3(C),u1_modelc_3(A,B))) & u3_modelc_3(A,D) = k2_xboole_0(u3_modelc_3(A,B),k4_modelc_3(C)) ) ) ) ) ) ) ) )).
fof(d4_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => k3_moebius1(A) = a_1_0_moebius1(A) ) )).
fof(d4_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k4_moebius2(A) = k8_nat_3(k8_newton,k3_moebius2(A)) ) )).
fof(d4_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v4_monoid_0(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & k4_binop_1(A,B,C,E) = D ) ) ) ) ) ) )).
fof(d4_monoid_1,axiom,( ! [A] : k13_monoid_1(A) = k12_monoid_1(k5_monoid_0,A) )).
fof(d4_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( m1_msafree(C,A,B) <=> r8_pboole(u1_struct_0(A),u3_msualg_1(A,k12_msualg_2(A,B,C)),u3_msualg_1(A,B)) ) ) ) ) )).
fof(d4_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => k4_msafree3(A,B,C) = k2_msafree3(A,C) ) ) ) )).
fof(d4_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( l3_msualg_1(C,A) => ( v4_msafree4(C,A,B) <=> ? [D] : ( v4_msualg_1(D,A) & l3_msualg_1(D,A) & ? [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,D)) & r1_msualg_3(A,B,D,E) & g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C)) = k6_msualg_3(A,B,D,E) ) ) ) ) ) ) )).
fof(d4_msalimit,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_msalimit(C,A,B) => ! [D] : ( m2_msalimit(D,A,B,C) => ( v1_msalimit(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_binop_1(D,E,E) = k2_msualg_3(u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,E))) ) ) ) ) ) ) )).
fof(d4_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(C,D)) => k5_msaterm(A,B,C,D,E) = k1_trees_4(k4_tarski(E,D)) ) ) ) ) ) )).
fof(d4_msinst_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v6_altcat_1(C) & l2_altcat_1(C) ) => ( C = k4_msinst_1(A,B) <=> ( u1_struct_0(C) = k2_msinst_1(A,B) & ! [D] : ( m1_subset_1(D,k2_msinst_1(A,B)) => ! [E] : ( m1_subset_1(E,k2_msinst_1(A,B)) => k1_binop_1(u1_altcat_1(C),D,E) = k3_msinst_1(A,B,D,E) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_funcop_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_funcop_1(H) ) => ( ( r2_tarski(G,k1_binop_1(u1_altcat_1(C),D,E)) & r2_tarski(H,k1_binop_1(u1_altcat_1(C),E,F)) ) => k1_binop_1(k4_altcat_1(u1_struct_0(C),u1_altcat_1(C),u2_altcat_1(C),D,E,F),H,G) = k8_pboole(G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( v3_msscyc_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( v7_ordinal1(C) & ! [D] : ( ( v7_graph_1(D,A) & m1_graph_1(D,A) ) => ( k1_funct_1(k7_graph_2(A,D),k1_nat_1(k3_finseq_1(D),1)) = B => ( v1_xboole_0(D) | r1_xxreal_0(k3_finseq_1(D),C) ) ) ) ) ) ) ) )).
fof(d4_msscyc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => k4_msscyc_2(A) = g1_graph_1(u1_struct_0(A),k1_msscyc_2(A),k2_msscyc_2(A),k3_msscyc_2(A)) ) )).
fof(d4_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v3_mssubfam(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ( r1_pboole(A,D,C) & r1_pboole(A,E,C) ) => r1_pboole(A,k3_pboole(A,D,E),C) ) ) ) ) ) ) )).
fof(d4_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( l3_msualg_1(C,A) => k3_msualg_1(A,B,C) = k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,C))),B) ) ) ) )).
fof(d4_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( C = k2_msualg_2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k1_msualg_2(A,B,D) ) ) ) ) ) )).
fof(d4_msualg_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( ( v1_msualg_3(D) & v2_msualg_3(D,A,B,C) ) => ! [E] : ( m2_pboole(E,A,C,B) => ( E = k4_msualg_3(A,B,C,D) <=> ! [F] : ( r2_tarski(F,A) => k1_funct_1(E,F) = k2_funct_1(k1_funct_1(D,F)) ) ) ) ) ) ) ) )).
fof(d4_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v3_msualg_4(C,A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(A,D,B)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,D,B)) => ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k9_xtuple_0(E)) => r2_hidden(k4_tarski(k1_funct_1(E,G),k1_funct_1(F,G)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,D),G))) ) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,D,B),k4_msualg_1(A,D,B),k5_msualg_1(A,D,B),E),k3_funct_2(k3_msualg_1(A,D,B),k4_msualg_1(A,D,B),k5_msualg_1(A,D,B),F)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,k2_msualg_1(A,D))) ) ) ) ) ) ) ) ) )).
fof(d4_msualg_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_msualg_4(C,A,B) & m1_msualg_4(C,A,B,B) ) => ! [D] : ( ( v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) => ! [E] : ( ( v1_msualg_4(E,A,B) & m1_msualg_4(E,A,B,B) ) => ( E = k4_msualg_5(A,B,C,D) <=> ? [F] : ( m1_msualg_4(F,A,B,B) & r8_pboole(A,F,k2_pboole(A,C,D)) & r8_pboole(A,E,k3_msualg_5(A,B,F)) ) ) ) ) ) ) ) )).
fof(d4_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( l3_msualg_1(D,A) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( F = k4_msualg_6(A,B,C,D,E) <=> ( k9_xtuple_0(F) = k1_funct_1(u3_msualg_1(A,D),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),C)) & ! [G] : ( r2_hidden(G,k1_funct_1(u3_msualg_1(A,D),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),C))) => k1_funct_1(F,G) = k1_funct_1(k5_msualg_1(A,B,D),k1_funct_7(E,C,G)) ) ) ) ) ) ) ) ) ) )).
fof(d4_msualg_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ! [C] : ( ( ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) ) => ( C = k1_msualg_7(A,B) <=> ( u1_struct_0(C) = k1_rcomp_1(A,B) & u2_lattices(C) = k1_realset1(k2_real_lat,k1_rcomp_1(A,B)) & u1_lattices(C) = k1_realset1(k1_real_lat,k1_rcomp_1(A,B)) ) ) ) ) ) ) )).
fof(d4_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k6_nat_3(A,B,C) <=> ! [E] : ( ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ( ~ r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) ) ) ) )).
fof(d4_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => k5_nat_5(A) = k3_nat_5(1,A) ) )).
fof(d4_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v1_int_1(B) => ( ( ( k3_int_2(B,A) = 1 & r1_int_5(B,A) ) => k1_nat_6(A,B) = 1 ) & ( r1_int_1(A,B) => k1_nat_6(A,B) = k5_numbers ) & ( k3_int_2(B,A) = 1 => ( r1_int_5(B,A) | k1_nat_6(A,B) = k4_xcmplx_0(1) ) ) ) ) ) )).
fof(d4_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k2_int_2(A,B) <=> ( r1_nat_d(A,C) & r1_nat_d(B,C) & ! [D] : ( v7_ordinal1(D) => ( ( r1_nat_d(A,D) & r1_nat_d(B,D) ) => r1_nat_d(C,D) ) ) ) ) ) ) ) )).
fof(d4_nat_lat,axiom,( k4_nat_lat = 1 )).
fof(d4_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_nattra_1(D,A,B,C,C) => ( D = k1_nattra_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u4_struct_0(B),D,E) = k4_cat_1(B,k8_cat_1(A,B,C,E)) ) ) ) ) ) ) )).
fof(d4_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k2_bspace),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)))) ) => ( B = k4_nbvectsp(A) <=> ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ! [E] : ( r2_tarski(E,k2_finseq_1(A)) => k1_funct_1(k1_binop_1(B,C,D),E) = k4_xboolean(C,k1_funct_1(D,E)) ) ) ) ) ) ) )).
fof(d4_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) ) => ( r4_ncfcont2(A,B,C) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),C)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(F,A) & r2_tarski(G,A) & ~ r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,F,G))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,C,F),k7_partfun1(k2_numbers,C,G)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_ndiff_1(C,A,B) <=> ( v3_normsp_1(C,A) & k5_normsp_1(A,C) = B ) ) ) ) ) )).
fof(d4_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_ndiff_2(A,B,C,D,E) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( F = k3_ndiff_2(A,B,C,D,E) <=> ? [G] : ( m1_nfcont_1(G,A,D) & r1_tarski(G,k1_relset_1(u1_struct_0(A),C)) & ! [H] : ( v1_xreal_0(H) => ~ ( ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v1_xreal_0(I) => ~ ( ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( v1_xreal_0(J) => ~ ( ~ r1_xxreal_0(I,k9_complex1(J)) & J != k5_numbers & r2_tarski(k3_rlvect_1(A,k1_rlvect_1(A,E,J),D),G) & r1_xxreal_0(H,k2_normsp_0(B,k5_algstr_0(B,k1_rlvect_1(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_rlvect_1(A,k1_rlvect_1(A,E,J),D)),k7_partfun1(u1_struct_0(B),C,D)),k5_xcmplx_0(J)),F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_ndiff_3(A,B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k1_ndiff_3(A,B,C) <=> ? [E] : ( m1_rcomp_1(E,C) & r1_tarski(E,k1_relset_1(k1_numbers,B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,u1_struct_0(A)) & v2_ndiff_3(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ? [G] : ( v1_funct_1(G) & v1_ndiff_3(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & D = k10_funct_2(k1_numbers,u1_struct_0(A),F,1) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,E) => k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,H),k7_partfun1(u1_struct_0(A),B,C)) = k3_rlvect_1(A,k10_funct_2(k1_numbers,u1_struct_0(A),F,k6_xcmplx_0(H,C)),k7_partfun1(u1_struct_0(A),G,k6_xcmplx_0(H,C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( r2_ndiff_4(A,B,C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( D = k2_ndiff_4(A,B,C) <=> ( k1_relset_1(k1_numbers,D) = C & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(D,E) = k1_ndiff_4(A,B,E) ) ) ) ) ) ) ) ) )).
fof(d4_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A))))) ) => ( D = k4_ndiff_5(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k11_prvect_2(A,B))) => k3_funct_2(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A)),D,E) = k1_funct_7(C,B,E) ) ) ) ) ) ) )).
fof(d4_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k4_ndiff_6(A,B,C) = C ) ) ) )).
fof(d4_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( r1_ndiff_7(A,B,C,D,E) <=> r1_ndiff_1(A,C,k1_partfun1(u1_struct_0(A),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C),k1_ndiff_7(A,B,D),E),k5_ndiff_7(A,B,D)) ) ) ) ) ) ) )).
fof(d4_neckla_2,axiom,( ! [A] : ( A = k3_neckla_2 <=> ! [B] : ( r2_hidden(B,A) <=> ? [C] : ( v1_orders_2(C) & l1_orders_2(C) & B = C & r2_tarski(u1_struct_0(C),k13_classes2) ) ) ) )).
fof(d4_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_necklace(A) <=> v5_relat_2(u1_orders_2(A)) ) ) )).
fof(d4_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ! [C] : ( r1_net_1(A,B,C) <=> ( r2_hidden(k4_tarski(C,B),k1_net_1(A)) & r2_tarski(B,u4_struct_0(A)) ) ) ) )).
fof(d4_newton,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( D = k5_newton(A,B,C) <=> ( k3_finseq_1(D) = k1_nat_1(C,1) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(E,k4_finseq_1(D)) & G = k6_xcmplx_0(E,1) & F = k6_xcmplx_0(C,G) ) => k1_funct_1(D,E) = k3_xcmplx_0(k3_xcmplx_0(k3_newton(G,C),k1_newton(A,F)),k1_newton(B,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_nfcont_1(B,A) <=> v2_nfcont_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(d4_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_euclid(A)) => ( r2_nfcont_4(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(A))) & ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) & C = D & B = E & r2_nfcont_1(k4_real_ns1(A),E,D) ) ) ) ) ) ) )).
fof(d4_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => k3_normform(A,B,C,D) = k1_domain_1(A,B,k2_finsub_1(A,k2_domain_1(A,B,C),k2_domain_1(A,B,D)),k2_finsub_1(B,k3_domain_1(A,B,C),k3_domain_1(A,B,D))) ) ) ) ) )).
fof(d4_normsp_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k5_normsp_0(A,B) <=> ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k2_normsp_0(A,k1_normsp_0(A,B,D)) ) ) ) ) ) )).
fof(d4_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k3_normsp_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k5_algstr_0(A,k1_normsp_0(A,B,E),C) ) ) ) ) ) ) )).
fof(d4_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_rltopsp1(B) & l1_rltopsp1(B) ) => ( B = k4_normsp_2(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & k4_struct_0(B) = k4_struct_0(A) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_algstr_0(B),u1_algstr_0(A)) & r1_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(B),u1_rlvect_1(A)) & u1_pre_topc(B) = u1_pre_topc(k3_normsp_2(A)) ) ) ) ) )).
fof(d4_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( r1_tarski(B,u1_struct_0(A)) => k2_normsp_3(A,B) = k2_partfun1(u1_struct_0(A),k1_numbers,u1_normsp_0(A),B) ) ) )).
fof(d4_ntalgo_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => ! [B] : ( m1_subset_1(B,k4_numbers) => ( B = k4_ntalgo_1(A) <=> ( ( k3_finseq_1(A) = 1 => B = k1_xtuple_0(k1_funct_1(A,1)) ) & ~ ( k3_finseq_1(A) != 1 & ! [C] : ( m2_finseq_1(C,k4_numbers) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ! [F] : ( m2_finseq_1(F,k4_numbers) => ! [G] : ( m1_subset_1(G,k4_numbers) => ! [H] : ( m1_subset_1(H,k4_numbers) => ~ ( k3_finseq_1(C) = k3_finseq_1(A) & k3_finseq_1(D) = k3_finseq_1(A) & k3_finseq_1(E) = k6_xcmplx_0(k3_finseq_1(A),1) & k3_finseq_1(F) = k6_xcmplx_0(k3_finseq_1(A),1) & k1_funct_1(C,1) = 1 & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k6_xcmplx_0(k3_finseq_1(C),1)) & ! [J] : ( m1_subset_1(J,k4_numbers) => ! [K] : ( m1_subset_1(K,k4_numbers) => ! [L] : ( m1_subset_1(L,k4_numbers) => ~ ( K = k2_xtuple_0(k1_funct_1(A,I)) & k1_funct_1(C,k1_nat_1(I,1)) = k3_xcmplx_0(k1_funct_1(C,I),K) & L = k1_funct_1(C,k1_nat_1(I,1)) & J = k2_xtuple_0(k1_funct_1(A,k1_nat_1(I,1))) & k1_funct_1(F,I) = k3_ntalgo_1(L,J) & k1_funct_1(E,I) = L ) ) ) ) ) ) & G = k2_xtuple_0(k1_funct_1(A,k3_finseq_1(C))) & H = k3_xcmplx_0(k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(C),1)),G) & k1_funct_1(D,1) = k1_xtuple_0(k1_funct_1(A,1)) & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k6_xcmplx_0(k3_finseq_1(C),1)) & ! [J] : ( m1_subset_1(J,k4_numbers) => ! [K] : ( m1_subset_1(K,k4_numbers) => ! [L] : ( m1_subset_1(L,k4_numbers) => ~ ( K = k1_xtuple_0(k1_funct_1(A,k1_nat_1(I,1))) & L = k2_xtuple_0(k1_funct_1(A,k1_nat_1(I,1))) & J = k5_int_1(k3_xcmplx_0(k6_xcmplx_0(K,k1_funct_1(D,I)),k1_funct_1(F,I)),L) & k1_funct_1(D,k1_nat_1(I,1)) = k2_xcmplx_0(k1_funct_1(D,I),k3_xcmplx_0(J,k1_funct_1(E,I))) ) ) ) ) ) ) & B = k5_int_1(k1_funct_1(D,k3_finseq_1(C)),H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_numbers,axiom,( k4_numbers = k6_subset_1(k2_xboole_0(k4_ordinal1,k2_zfmisc_1(k1_tarski(k5_ordinal1),k4_ordinal1)),k1_tarski(k4_tarski(k5_ordinal1,k5_ordinal1))) )).
fof(d4_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v2_numpoly1(B,A) <=> ? [C] : ( v7_ordinal1(C) & B = k2_numpoly1(A,C) ) ) ) )).
fof(d4_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_o_ring_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v2_o_ring_1(C,A) & B = k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)) ) ) ) ) )).
fof(d4_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k6_openlatt(A) = g3_lattices(k1_openlatt(A),k4_openlatt(A),k5_openlatt(A)) ) )).
fof(d4_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v2_oposet_1(A) <=> v1_relat_2(u1_orders_2(A)) ) ) )).
fof(d4_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k5_oppcat_1(A,B) = B ) ) )).
fof(d4_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k3_ordeq_01(A,B) = k2_partfun1(k4_rsspace4(A,B),k1_numbers,k8_rsspace4(A,B),k1_ordeq_01(A,B)) ) ) )).
fof(d4_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_orders_1(A) <=> ( v1_relat_2(A) & v8_relat_2(A) ) ) ) )).
fof(d4_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v5_orders_2(A) <=> r4_relat_2(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(d4_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_ordinal2(A) <=> ? [B] : ( v3_ordinal1(B) & r1_tarski(k10_xtuple_0(A),B) ) ) ) )).
fof(d4_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( C = k4_ordinal3(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(B) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k11_ordinal2(k1_funct_1(B,D),A) ) ) ) ) ) ) ) )).
fof(d4_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k1_ordinal5(A,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k1_xboole_0) = 1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k12_ordinal2(A,k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k1_xboole_0 | k1_funct_1(D,E) = k8_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(d4_ordinal6,axiom,( ! [A] : k1_ordinal6(A) = k2_wellord2(k1_wellord2(k2_ordinal1(A))) )).
fof(d4_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))))))) => ( C = k1_osafree(A,B) <=> ! [D] : ( m1_subset_1(D,k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B)))) => ! [E] : ( m2_finseq_2(E,k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))))) => ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_tarski(D,k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( k4_tarski(F,u1_struct_0(A)) = D => ( k3_finseq_1(E) = k3_finseq_1(k1_msualg_1(A,F)) & ! [G] : ( r2_tarski(G,k4_finseq_1(E)) => ( ( r2_tarski(k1_funct_1(E,G),k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))) => ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ( k4_tarski(H,u1_struct_0(A)) = k1_funct_1(E,G) => r3_orders_2(A,k2_msualg_1(A,H),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,F),G)) ) ) ) & ~ ( r2_tarski(k1_funct_1(E,G),k3_card_3(k3_msafree(u1_struct_0(A),B))) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r3_orders_2(A,H,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,F),G)) & r2_tarski(k1_funct_1(E,G),k2_msafree(u1_struct_0(A),B,H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_osalg_1(A) ) => ( v6_osalg_1(A) <=> r2_relset_1(u4_struct_0(A),u4_struct_0(A),u1_osalg_1(A),k6_partfun1(u4_struct_0(A))) ) ) )).
fof(d4_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v11_osalg_1(C,A) ) => ( C = k2_osalg_2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k3_tarski(a_3_1_osalg_2(A,B,D)) ) ) ) ) ) )).
fof(d4_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_osalg_4(A,B,C) <=> r2_hidden(k4_tarski(B,C),k1_osalg_4(A)) ) ) ) ) )).
fof(d4_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => k4_parsp_1(A,B) = k3_funct_2(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_parsp_1(A),B) ) ) )).
fof(d4_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_parsp_2(A,B,C,D,E) <=> ~ ( ~ ( B = C & D = E ) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_parsp_2(A,F,G,B,C) & r2_parsp_2(A,F,G,D,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_partfun1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_partfun1(A,B) <=> ! [C] : ( r2_hidden(C,k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) )).
fof(d4_partfun3,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_partfun3(A) <=> ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k10_xtuple_0(A)) => r1_xxreal_0(k5_numbers,B) ) ) ) ) )).
fof(d4_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => k2_partit1(A,B,C) = k6_subset_1(k3_setfam_1(B,C),k1_tarski(k1_xboole_0)) ) ) ) )).
fof(d4_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k2_pboole(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k2_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d4_pcomps_1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k2_pcomps_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & r1_tarski(k8_metric_1(A,D,E),C) ) ) ) ) ) ) ) ) ) )).
fof(d4_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1))))) ) => ( C = k4_pdiff_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(B))) => k3_funct_2(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,D) = k9_finseq_1(k1_funct_1(k1_pdiff_1(A,B),D)) ) ) ) ) ) )).
fof(d4_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r3_pdiff_3(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k10_finseq_1(C,D) & ? [E] : ( m1_rcomp_1(E,C) & r1_tarski(E,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B))) & ? [F] : ( v1_funct_1(F) & v3_fdiff_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [G] : ( v1_funct_1(G) & v2_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B),H),k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B),C)) = k2_xcmplx_0(k1_funct_1(F,k6_xcmplx_0(H,C)),k1_funct_1(G,k6_xcmplx_0(H,C))) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r4_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,C) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,k1_pdiff_3(2,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(2,3,A),B),I),k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(2,3,A),B),C)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,C)),k1_funct_1(H,k6_xcmplx_0(I,C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_pdiff_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(C),k1_euclid(B)))) ) => ( r1_pdiff_6(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(k1_euclid(C),D)) & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(C)) => ( r2_tarski(E,A) => r1_pdiff_1(C,B,k2_partfun1(k1_euclid(C),k1_euclid(B),D,A),E) ) ) ) ) ) ) ) )).
fof(d4_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( r2_pdiff_7(A,B,C,D,E) <=> ( r1_tarski(E,k1_relset_1(k1_euclid(A),D)) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_tarski(F,E) => r4_pdiff_1(A,B,C,k2_partfun1(k1_euclid(A),k1_euclid(B),D,E),F) ) ) ) ) ) ) ) ) )).
fof(d4_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r1_tarski(B,k1_relset_1(k1_euclid(A),C)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k9_funct_2(k1_euclid(A),k1_numbers)))) ) => ( D = k2_pdiff_9(A,B,C) <=> ( k1_relset_1(k1_euclid(A),D) = B & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r2_tarski(E,B) => k7_partfun1(k9_funct_2(k1_euclid(A),k1_numbers),D,E) = k1_pdiff_7(A,C,E) ) ) ) ) ) ) ) ) )).
fof(d4_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v3_pencil_1(A) <=> v1_xboole_0(u1_pre_topc(A)) ) ) )).
fof(d4_pencil_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_pencil_2(C,A,B) <=> ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_t_0topsp(C,A,B) & v3_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),u1_struct_0(B),u1_struct_0(A)) & v1_t_0topsp(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) ) )).
fof(d4_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ! [D] : ( ( ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) ) => ( m1_pencil_2(k4_card_3(D),A,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D))))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D))))))) ) => ( E = k3_pencil_3(A,B,C,D) <=> ( v1_pencil_2(E,k2_pencil_1(A,B,k3_pencil_1(A,D)),k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D)))) & ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ( ( m1_subset_1(F,u1_struct_0(k5_pencil_1(A,B))) & r2_tarski(F,k4_card_3(D)) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) ) => ( G = k1_funct_1(C,F) => k1_funct_1(G,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D))) = k1_funct_1(E,k1_funct_1(F,k3_pencil_1(A,D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A,B,C)))) => ( D = k4_pencil_4(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( m1_vectsp_4(F,A,B) & ? [G] : ( m1_vectsp_4(G,A,B) & m1_vectsp_4(F,A,G) & k1_nat_1(k1_vectsp_9(A,F),1) = C & k1_vectsp_9(A,G) = k1_nat_1(C,1) & E = k3_pencil_4(A,B,F,G,C) ) ) ) ) ) ) ) ) )).
fof(d4_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_petri(A,B) = a_2_0_petri(A,B) ) ) )).
fof(d4_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_finseq_1(B,k2_net_1(A)) => k3_petri_df(A,B) = a_2_2_petri_df(A,B) ) ) )).
fof(d4_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( D = k2_pnproc_1(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k2_xcmplx_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d4_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v3_polyalg1(C,A,B) <=> ( v1_vectsp_4(C,A,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => r2_tarski(k6_algstr_0(B,D,E),C) ) ) ) & r2_tarski(k5_struct_0(B),C) & r2_tarski(k4_struct_0(B),C) ) ) ) ) ) )).
fof(d4_polyeq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => k4_polyeq_1(A,B,C,D,E) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_newton(E,3)),k3_xcmplx_0(B,k1_square_1(E))),k3_xcmplx_0(C,E)),D) ) ) ) ) ) )).
fof(d4_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => k4_polyeq_1(A,B,C,D,E) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k3_polyeq_3(E)),k3_xcmplx_0(B,k1_square_1(E))),k3_xcmplx_0(C,E)),D) ) ) ) ) ) )).
fof(d4_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( ( k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)) = k5_numbers => ( D = k4_polyeq_5(A,B,C) <=> ? [E] : ( v1_xcmplx_0(E) & ? [F] : ( v1_xcmplx_0(F) & E = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,C),B),k3_xcmplx_0(2,k1_newton(C,3))),k3_xcmplx_0(27,A)),54) & F = k1_polyeq_5(3,k3_xcmplx_0(2,E)) & D = k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(F,2)),k7_xcmplx_0(C,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(F,k1_polyeq_5(2,3)),k7_complex1),2)) ) ) ) ) & ( k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)) != k5_numbers => ( D = k4_polyeq_5(A,B,C) <=> ? [E] : ( v1_xcmplx_0(E) & ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & ? [I] : ( v1_xcmplx_0(I) & E = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,B),k1_newton(C,2)),9) & F = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,C),B),k3_xcmplx_0(2,k1_newton(C,3))),k3_xcmplx_0(27,A)),54) & G = k1_polyeq_5(2,k2_xcmplx_0(k1_newton(E,3),k1_newton(F,2))) & H = k1_polyeq_5(3,k2_xcmplx_0(F,G)) & I = k4_xcmplx_0(k7_xcmplx_0(E,H)) & D = k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(H,I),2)),k7_xcmplx_0(C,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(H,I),k1_polyeq_5(2,3)),k7_complex1),2)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => k4_polyform(A) = k3_finseq_1(u1_polyform(A)) ) )).
fof(d4_polynom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( D = k3_polynom1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,D) <=> k3_funct_2(A,u1_struct_0(B),C,E) != k4_struct_0(B) ) ) ) ) ) ) ) )).
fof(d4_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E = k2_polynom2(A,B,C,D) <=> ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & k3_finseq_1(F) = k3_finseq_1(k7_pre_poly(k15_pre_poly(A),k3_polynom1(k15_pre_poly(A),B,C),k17_pre_poly(A))) & E = k4_rlvect_1(B,F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(F)) ) => k7_partfun1(u1_struct_0(B),F,G) = k6_algstr_0(B,k7_partfun1(u1_struct_0(B),k1_partfun1(k4_ordinal1,k15_pre_poly(A),k15_pre_poly(A),u1_struct_0(B),k7_pre_poly(k15_pre_poly(A),k3_polynom1(k15_pre_poly(A),B,C),k17_pre_poly(A)),C),G),k1_polynom2(A,k7_partfun1(k15_pre_poly(A),k7_pre_poly(k15_pre_poly(A),k3_polynom1(k15_pre_poly(A),B,C),k17_pre_poly(A)),G),B,D)) ) ) ) ) ) ) ) ) ) )).
fof(d4_polynom3,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_finseq_2(A,k4_ordinal1)) => ( C = k6_polynom3(A,B) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_finseq_2(A,k4_ordinal1))) & C = k7_pre_poly(k4_finseq_2(A,k4_ordinal1),D,k5_polynom3(A)) & ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ( r2_tarski(E,D) <=> k1_wsierp_1(E) = B ) ) ) ) ) ) ) )).
fof(d4_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k4_polynom5(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E) = k6_algstr_0(A,C,k3_funct_2(k4_ordinal1,u1_struct_0(A),B,E)) ) ) ) ) ) ) )).
fof(d4_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => k1_polynom7(A,B,C,D) = k14_funct_7(k15_pre_poly(A),u1_struct_0(B),k8_polynom1(A,B),D,C) ) ) ) )).
fof(d4_polynom8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,1) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( D = k3_polynom8(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) ) => k3_matrix_0(u1_struct_0(B),D,E,1) = k1_funct_1(C,k6_xcmplx_0(E,1)) ) ) ) ) ) ) ) )).
fof(d4_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k2_polyred(A,B,C,D) = k3_polynom1(k15_pre_poly(A),C,D) ) ) ) ) )).
fof(d4_pralg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) => ! [C] : ( m2_finseq_1(C,k4_partfun1(k3_finseq_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) => ( C = k4_pralg_1(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(u1_unialg_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => ! [E] : ( ( v1_funct_1(E) & ~ v1_xboole_0(E) & v2_margrel1(E) & v3_margrel1(E,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & ~ v1_xboole_0(F) & v2_margrel1(F) & v3_margrel1(F,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(B)),u1_struct_0(B)))) ) => ( ( E = k1_funct_1(u1_unialg_1(A),D) & F = k1_funct_1(u1_unialg_1(B),D) ) => k1_funct_1(C,D) = k3_pralg_1(u1_struct_0(A),u1_struct_0(B),E,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( ( v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( m1_pralg_3(E,k8_eqrel_1(A,D),k6_partfun1(k8_eqrel_1(A,D)),B) => ( E = k3_pralg_3(A,B,C,D) <=> ! [F] : ( r2_tarski(F,k8_eqrel_1(A,D)) => k1_funct_1(E,F) = k5_relat_1(C,F) ) ) ) ) ) ) ) )).
fof(d4_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k8_pre_poly(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_tarski(D,k9_xtuple_0(C)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ( E = k1_funct_1(A,D) & F = k1_funct_1(B,D) ) => k1_funct_1(C,D) = k7_finseq_1(E,F) ) ) ) ) ) ) ) ) ) )).
fof(d4_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( m1_pre_topc(B,A) <=> ( r1_tarski(k2_struct_0(B),k2_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(C,u1_pre_topc(B)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(D,u1_pre_topc(A)) & C = k9_subset_1(u1_struct_0(B),D,k2_struct_0(B)) ) ) ) ) ) ) ) )).
fof(d4_prefer_1,axiom,( ! [A] : k2_prefer_1(A) = g3_prefer_1(A,k1_partit_2(A,A),k1_eqrel_1(A),k1_partit_2(A,A)) )).
fof(d4_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1)) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ( ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k5_numbers => ( v2_prelamb(C,A,B) <=> ( k8_trees_2(k9_xtuple_0(B),C) = k5_numbers & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(k12_finseq_1(u1_struct_0(A),D),D) ) ) ) ) & ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 1 => ( v2_prelamb(C,A,B) <=> ( k8_trees_2(k9_xtuple_0(B),C) = 1 & ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(D,k2_prelamb(A,E,F)) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),D,k12_finseq_1(u1_struct_0(A),F)),E) ) ) ) ) ) ) & ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 2 => ( v2_prelamb(C,A,B) <=> ( k8_trees_2(k9_xtuple_0(B),C) = 1 & ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(D,k1_prelamb(A,F,E)) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),F),D),E) ) ) ) ) ) ) & ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 3 => ( v2_prelamb(C,A,B) <=> ( k8_trees_2(k9_xtuple_0(B),C) = 2 & ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,G,H))),D),F),I) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)))) = k4_tarski(D,H) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,1)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),G)),F),I) ) ) ) ) ) ) ) ) ) & ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 4 => ( v2_prelamb(C,A,B) <=> ( k8_trees_2(k9_xtuple_0(B),C) = 2 & ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,D),k12_finseq_1(u1_struct_0(A),k1_prelamb(A,H,G))),F),I) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)))) = k4_tarski(D,H) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,1)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),G)),F),I) ) ) ) ) ) ) ) ) ) & ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 5 => ( v2_prelamb(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k8_trees_2(k9_xtuple_0(B),C) = 1 & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m2_finseq_1(H,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),k3_prelamb(A,F,G))),H),D) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),F)),k12_finseq_1(u1_struct_0(A),G)),H),D) ) ) ) ) ) ) ) ) & ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 6 => ( v2_prelamb(C,A,B) <=> ( k8_trees_2(k9_xtuple_0(B),C) = 2 & ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),D,E),k3_prelamb(A,F,G)) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)))) = k4_tarski(D,F) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,1)))) = k4_tarski(E,G) ) ) ) ) ) ) ) & ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 7 => ( v2_prelamb(C,A,B) <=> ( k8_trees_2(k9_xtuple_0(B),C) = 2 & ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,D),F),H) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)))) = k4_tarski(D,G) & k1_xtuple_0(k1_funct_1(B,k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,1)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),G)),F),H) ) ) ) ) ) ) ) ) & ~ ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != k5_numbers & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != 1 & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != 2 & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != 3 & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != 4 & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != 5 & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != 6 & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) != 7 & ~ ( v2_prelamb(C,A,B) <=> ~ $true ) ) ) ) ) ) )).
fof(d4_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_rat_1(B) => k4_prepower(A,B) = k2_prepower(k1_rat_1(B),k3_prepower(A,k2_rat_1(B))) ) ) )).
fof(d4_prgcor_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_int_1(D) => ( r2_prgcor_2(A,B,C,D) <=> ( k1_afinsq_1(B) = D & k1_afinsq_1(A) = D & ? [E] : ( v1_int_1(E) & k1_funct_1(B,k5_numbers) = k1_funct_1(A,k5_numbers) & E = k1_funct_1(A,k5_numbers) & ( E != k5_numbers => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) => k1_funct_1(B,F) = k3_xcmplx_0(C,k1_funct_1(A,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_prob_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_prob_1(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_tarski(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d4_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ( r1_prob_2(A,B,C,D,E) <=> k3_funct_2(B,k1_numbers,C,k5_prob_1(A,B,D,E)) = k4_real_1(k3_funct_2(B,k1_numbers,C,D),k3_funct_2(B,k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d4_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_prob_2(B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( C != D => r1_xboole_0(k1_prob_2(A,k9_setfam_1(A),B,C),k1_prob_2(A,k9_setfam_1(A),B,D)) ) ) ) ) ) )).
fof(d4_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( m1_prob_4(D,A,B,C) <=> ? [E] : ( r2_tarski(E,B) & r1_tarski(D,E) & k1_funct_1(C,E) = k5_numbers ) ) ) ) ) ) )).
fof(d4_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),k4_finseq_2(B,u1_struct_0(A))),k4_finseq_2(B,u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_finseq_2(B,u1_struct_0(A))),k4_finseq_2(B,u1_struct_0(A))))) ) => ( C = k5_prvect_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(A),k4_finseq_2(B,u1_struct_0(A))) => k2_binop_1(u1_struct_0(A),k4_finseq_2(B,u1_struct_0(A)),k4_finseq_2(B,u1_struct_0(A)),C,D,E) = k3_finseqop(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A),D,E) ) ) ) ) ) ) )).
fof(d4_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) => ( B = k4_prvect_2(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => k1_funct_1(B,C) = u1_struct_0(k3_prvect_2(A,C)) ) ) ) ) ) )).
fof(d4_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => k4_prvect_3(A,B) = g2_algstr_0(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_prvect_3(A,B),k3_prvect_3(A,B)) ) ) )).
fof(d4_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( B = k6_pua2mss1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) <=> ! [E] : ( m1_pua2mss1(E,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ( r2_tarski(k7_finseq_1(k7_finseq_1(F,k12_finseq_1(u1_struct_0(A),C)),G),k1_relset_1(k3_finseq_2(u1_struct_0(A)),E)) <=> r2_tarski(k7_finseq_1(k7_finseq_1(F,k12_finseq_1(u1_struct_0(A),D)),G),k1_relset_1(k3_finseq_2(u1_struct_0(A)),E)) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ( m1_pythtrip(A) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( m1_subset_1(D,k4_ordinal1) & k1_nat_1(k1_pepin(B),k1_pepin(C)) = k1_pepin(D) & A = k8_domain_1(k4_ordinal1,B,C,D) ) ) ) ) ) )).
fof(d4_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => k3_qc_lang1(A) = k2_zfmisc_1(k1_tarski(4),k1_qc_lang1(A)) ) )).
fof(d4_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k4_qc_lang2(A,B,C) = k14_qc_lang1(A,k2_qc_lang2(A,B,C),k2_qc_lang2(A,C,B)) ) ) ) )).
fof(d4_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) ) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ( D = k4_qc_lang3(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(B)))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(B)) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = k1_subset_1(B) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = k1_qc_lang3(A,k17_qc_lang1(A,F),B) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = k4_subset_1(B,G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = G ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( m1_qc_lang4(C,A,B) <=> r2_qc_lang2(A,C,B) ) ) ) ) )).
fof(d4_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => k2_qc_trans(A,B,C) = C ) ) ) )).
fof(d4_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => ! [B] : ( m1_subset_1(B,k2_qmax_1(A)) => ! [C] : ( m1_subset_1(C,k3_qmax_1(A)) => k4_qmax_1(A,B,C) = k1_funct_1(u3_qmax_1(A),k1_domain_1(k2_qmax_1(A),k3_qmax_1(A),B,C)) ) ) ) )).
fof(d4_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v6_quantal1(A) <=> ( v4_quantal1(A) & v5_quantal1(A) ) ) ) )).
fof(d4_quaterni,axiom,( k4_quaterni = k2_quaterni(k4_ordinal1,k5_numbers,1,2,3,k5_numbers,k5_numbers,k5_numbers,1) )).
fof(d4_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_quofield(A))) => ( C = k6_quofield(A,B) <=> ! [D] : ( m2_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ( r2_tarski(D,C) <=> k6_algstr_0(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),D),k3_domain_1(u1_struct_0(A),u1_struct_0(A),B)) = k6_algstr_0(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),D),k2_domain_1(u1_struct_0(A),u1_struct_0(A),B)) ) ) ) ) ) ) )).
fof(d4_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(B)) ) => k5_radix_1(A,B,C,D) = k4_radix_1(A,B,C,D) ) ) ) ) )).
fof(d4_radix_3,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v7_ordinal1(B) => k6_radix_3(A,B) = k6_xcmplx_0(A,k3_xcmplx_0(k1_radix_1(B),k5_radix_3(A,B))) ) ) )).
fof(d4_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(C)) ) => ( D = k4_radix_5(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k4_radix_1(E,C,A,D) = k3_radix_5(E,B,C) ) ) ) ) ) ) ) )).
fof(d4_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,2)) & m2_finseq_1(D,k3_radix_1(B)) ) => ( D = k4_radix_6(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k2_finseq_1(k2_xcmplx_0(A,2))) => k4_radix_1(E,B,k2_xcmplx_0(A,2),D) = k3_radix_6(E,A,B,C) ) ) ) ) ) ) ) )).
fof(d4_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_random_1(D,A,B) => ( r1_random_1(A,B,D,C) => k8_random_1(A,B,C,D) = k1_mesfunc6(A,B,k2_prob_4(A,B,C),D) ) ) ) ) ) )).
fof(d4_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => k6_ranknull(A,B,C,D) = k1_funct_4(k2_partfun1(u1_struct_0(B),u1_struct_0(A),C,D),k8_funcop_1(u1_struct_0(A),k4_ranknull(B,D),k4_struct_0(A))) ) ) ) ) )).
fof(d4_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => k2_rat_1(A) = k3_xcmplx_0(k1_rat_1(A),A) ) )).
fof(d4_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_ratfunc1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_ratfunc1(A,B,C,D) ) ) ) ) ) )).
fof(d4_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v2_rcomp_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_tarski(k10_xtuple_0(B),A) & v2_comseq_2(B) ) => r2_hidden(k1_seq_2(B),A) ) ) ) ) )).
fof(d4_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k4_real_3(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k1_int_1(k8_nat_1(k1_numbers,k3_real_3(A),C)) ) ) ) ) )).
fof(d4_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) => ( B = k4_real_lat(A) <=> ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,B,C,D),k3_funcsdom(k1_numbers,A,k2_real_lat,C,D)) ) ) ) ) ) )).
fof(d4_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_normsp_1(B) & l1_normsp_1(B) ) => ( B = k4_real_ns1(A) <=> ( u1_struct_0(B) = k1_euclid(A) & k4_struct_0(B) = k5_euclid(A) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A),u1_algstr_0(B),k1_real_ns1(A)) & r1_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(k1_numbers,k1_euclid(A)),k1_euclid(A),u1_rlvect_1(B),k2_real_ns1(A)) & r1_funct_2(u1_struct_0(B),k1_numbers,k1_euclid(A),k1_numbers,u1_normsp_0(B),k3_real_ns1(A)) ) ) ) ) )).
fof(d4_realset1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( m2_realset1(C,A,B) <=> ! [D] : ( r2_tarski(D,k2_zfmisc_1(B,B)) => r2_tarski(k1_funct_1(C,D),B) ) ) ) ) )).
fof(d4_realset2,axiom,( ! [A] : ( l6_algstr_0(A) => ( v1_realset2(A) <=> ( m3_realset1(u2_algstr_0(A),u1_struct_0(A),k4_struct_0(A)) & ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( m1_subset_1(D,B) => ( ( B = k8_struct_0(A) & D = k5_struct_0(A) & C = k1_realset1(u2_algstr_0(A),k8_struct_0(A)) ) => ( ~ v2_struct_0(g2_algstr_0(B,C,D)) & v13_algstr_0(g2_algstr_0(B,C,D)) & v2_rlvect_1(g2_algstr_0(B,C,D)) & v3_rlvect_1(g2_algstr_0(B,C,D)) & v4_rlvect_1(g2_algstr_0(B,C,D)) & l2_algstr_0(g2_algstr_0(B,C,D)) ) ) ) ) ) ) ) ) )).
fof(d4_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r4_relat_2(A,B) <=> ! [C] : ! [D] : ( ( r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,C),A) ) => C = D ) ) ) )).
fof(d4_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r2_rewrite1(A,B,C) <=> r1_rewrite1(k2_xboole_0(A,k2_relat_1(A)),B,C) ) ) )).
fof(d4_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( r1_rewrite2(A,B,C,D) <=> r2_tarski(k1_domain_1(k8_afinsq_1(A),k8_afinsq_1(A),C,D),B) ) ) ) ) )).
fof(d4_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k8_afinsq_1(A)),k2_zfmisc_1(u1_struct_0(C),k8_afinsq_1(A))))) => ( D = k1_rewrite3(A,B,C) <=> ! [E] : ! [F] : ! [G] : ! [H] : ( r2_hidden(k4_tarski(k4_tarski(E,F),k4_tarski(G,H)),D) <=> r2_rewrite3(A,B,C,E,F,G,H) ) ) ) ) ) ) )).
fof(d4_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k4_rfinseq2(A) = k1_funct_1(A,k2_rfinseq2(A)) ) )).
fof(d4_rfunct_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v8_valued_0(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,A)) & r2_hidden(C,k1_relset_1(k1_numbers,A)) ) => ( r1_xxreal_0(C,B) | r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) ) )).
fof(d4_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)))) ) => ( B = k13_rfunct_3(A) <=> ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => k4_binop_1(k3_rfunct_3(A,k1_numbers),B,C,D) = k5_rfunct_3(A,k1_numbers,C,D) ) ) ) ) ) )).
fof(d4_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r4_rfunct_4(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,B) & r2_hidden(E,B) & r2_tarski(k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)),B) & D != E & r1_xxreal_0(k4_xxreal_0(k1_funct_1(A,D),k1_funct_1(A,E)),k1_funct_1(A,k2_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(k6_xcmplx_0(1,C),E)))) ) ) ) ) ) ) ) )).
fof(d4_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k3_rinfsup1(A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( D = a_2_0_rinfsup1(A,C) => k1_funct_1(B,C) = k3_seq_4(D) ) ) ) ) ) ) )).
fof(d4_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v2_rinfsup2(A) <=> v4_xxreal_2(k15_supinf_2(A)) ) ) )).
fof(d4_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_ring_1(B,A) <=> ( v1_subset_1(B,u1_struct_0(A)) & v3_ring_1(B,A) ) ) ) ) )).
fof(d4_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => k3_ringcat1(A) = u3_ringcat1(A) ) )).
fof(d4_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlaffin1(B,A) <=> ~ ( ~ v1_xboole_0(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & v1_rlvect_3(k7_subset_1(u1_struct_0(A),k5_rusub_4(A,B,k4_algstr_0(A,C)),k6_domain_1(u1_struct_0(A),k4_struct_0(A))),A) ) ) ) ) ) ) )).
fof(d4_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k2_rlsub_1(A) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) )).
fof(d4_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ( r1_rlsub_2(A,B,C) <=> ( g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlsub_2(A,B,C) & k2_rlsub_2(A,B,C) = k1_rlsub_1(A) ) ) ) ) ) )).
fof(d4_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_rltopsp1(A,B) = k1_convex1(A,B,k4_xcmplx_0(1)) ) ) )).
fof(d4_rlvect_1,axiom,( ! [A] : ( l2_algstr_0(A) => ( v4_rlvect_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_0(A,B,k4_struct_0(A)) = B ) ) ) )).
fof(d4_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k1_numbers,k9_funct_2(u1_struct_0(A),k1_numbers)) => k3_rlvect_2(A,B) = a_2_0_rlvect_2(A,B) ) ) )).
fof(d4_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => k2_rmod_2(A,B) = g1_vectsp_2(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ) )).
fof(d4_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ( r1_rmod_3(A,B,C,D) <=> ( g1_vectsp_2(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,C,D) & k2_rmod_3(A,B,C,D) = k1_rmod_2(A,B) ) ) ) ) ) ) )).
fof(d4_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => ( C = k3_rmod_4(A,B) <=> k2_rmod_4(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(d4_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_robbins1(A,B,C) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) )).
fof(d4_robbins3,axiom,( k1_robbins3 = g3_robbins3(k1_tarski(k5_ordinal1),k9_funct_5,k9_funct_5,k6_partfun1(k1_tarski(k5_ordinal1))) )).
fof(d4_robbins4,axiom,( ! [A] : ( ( v4_robbins1(A) & l4_robbins1(A) ) => ( A = k2_robbins4 <=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = k14_lattice3(k1_robbins4) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(3)) => ( B = C => k1_funct_1(u1_robbins1(A),B) = k3_subset_1(3,C) ) ) ) ) ) ) )).
fof(d4_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A,B) = a_2_0_roughs_1(A,B) ) ) )).
fof(d4_rsspace3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_rsspace3(A,B,C) = k2_normsp_0(A,k5_algstr_0(A,B,C)) ) ) ) )).
fof(d4_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_rsspace4(C,A,B) <=> ? [D] : ( v1_xreal_0(D) & r1_xxreal_0(k5_numbers,D) & ! [E] : ( m1_subset_1(E,A) => r1_xxreal_0(k2_normsp_0(B,k3_funct_2(A,u1_struct_0(B),C,E)),D) ) ) ) ) ) ) )).
fof(d4_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rusub_1(C,A) => k3_rusub_1(A,B,C) = a_3_0_rusub_1(A,B,C) ) ) ) )).
fof(d4_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( r1_rusub_2(A,B,C) <=> ( g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_2(A,B,C) & k2_rusub_2(A,B,C) = k1_rusub_1(A) ) ) ) ) ) )).
fof(d4_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_rusub_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k1_algstr_0(A,k1_rlvect_1(A,C,k6_xcmplx_0(1,E)),k1_rlvect_1(A,D,E)),B) ) ) ) ) ) ) ) )).
fof(d4_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => ( C = k3_rusub_5(A,B) <=> u1_struct_0(C) = a_2_2_rusub_5(A,B) ) ) ) ) )).
fof(d4_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k4_rvsum_1(A,B) = k3_funcop_1(k9_binop_2,A,B) ) ) )).
fof(d4_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k7_rvsum_2(A,B) = k3_funcop_1(k4_binop_2,A,B) ) ) )).
fof(d4_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k3_rvsum_3(A) = a_1_0_rvsum_3(A) ) )).
fof(d4_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => k6_scm_comp(A,B) = k6_trees_4(k4_tarski(k5_numbers,1),A,B) ) ) )).
fof(d4_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(9)) & A = k3_xtuple_0(D,k1_xboole_0,k2_finseq_4(k2_scm_inst,B,C)) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k5_scm_inst(A) <=> ? [C] : ( m2_finseq_1(C,k2_scm_inst) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_scm_inst,C,2) ) ) ) ) ) )).
fof(d4_scmfsa6a,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k3_scmfsa6a(A,B) = k2_scmfsa6a(k11_compos_1(k1_scmfsa_2,A),B) ) ) )).
fof(d4_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_scmfsa6b(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_tarski(A,C) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,D),k4_scmfsa_2(k5_numbers)) = k1_funct_1(B,k4_scmfsa_2(k5_numbers)) ) ) ) ) ) ) )).
fof(d4_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( r4_scmfsa7b(A,B) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & r2_tarski(C,k10_xtuple_0(A)) & r3_scmfsa7b(C,B) ) ) ) ) )).
fof(d4_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r1_scmfsa8a(A,B,C) => ! [D] : ( v7_ordinal1(D) => ( D = k2_scmfsa8a(A,B,C) <=> ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),D)) = k4_card_1(C) & ! [E] : ( v7_ordinal1(E) => ( ~ r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E)),k2_afinsq_1(C)) => r1_xxreal_0(D,E) ) ) ) ) ) ) ) ) ) )).
fof(d4_scmfsa8b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => k4_scmfsa8b(A,B,C,D) = k3_scmfsa6a(k8_scmfsa_2(A,B),k2_scmfsa8b(A,C,D)) ) ) ) ) )).
fof(d4_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( r3_scmfsa9a(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),E),C),k5_numbers) => r5_scmfsa7b(D,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),E),k1_funct_4(A,k4_scmfsa_x(C,D))) ) ) ) ) ) ) ) )).
fof(d4_scmfsa_1,axiom,( k4_scmfsa_1 = k1_funct_4(k8_funcop_1(k4_ordinal1,k1_scmfsa_1,2),k3_ami_2) )).
fof(d4_scmfsa_7,axiom,( ! [A] : ( m1_scmfsa_2(A) => ! [B] : ( m2_finseq_1(B,k4_numbers) => k4_scmfsa_7(A,B) = k1_ordinal4(k1_ordinal4(k1_ordinal4(k2_scmfsa_7(k4_scmfsa_2(1),k3_finseq_1(B)),k5_afinsq_1(k17_scmfsa_2(k4_scmfsa_2(1),A))),k3_scmfsa_7(A,B)),k4_compos_1(k1_scmfsa_2)) ) ) )).
fof(d4_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k1_scmfsa_i) & ? [D] : ( m1_subset_1(D,k2_scm_inst) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(13)) & A = k3_xtuple_0(E,k1_xboole_0,k11_finseq_1(B,C,D)) ) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k4_scmfsa_i(A) <=> ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,k1_scmfsa_i) & ? [E] : ( m1_subset_1(E,k2_scm_inst) & k11_finseq_1(C,D,E) = k2_xtuple_0(A) & B = E ) ) ) ) ) ) ) )).
fof(d4_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k3_scmfsa_2)) ) => ! [B] : ( m1_scmfsa_2(B) => ( B = k3_scmfsa_m(A) <=> ? [C] : ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & B = k5_scmfsa_2(k4_seq_4(C)) & C = a_1_1_scmfsa_m(A) ) ) ) ) )).
fof(d4_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k4_scmfsa_x(A,B) = k1_funct_7(k2_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(B),2),k11_scmfsa_2(k5_numbers)) ) ) )).
fof(d4_scmp_gcd,axiom,( k4_scmp_gcd = k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k5_scmpds_2(k3_scmp_gcd,7)),k6_scmpds_2(k3_scmp_gcd,k15_scmpds_i)),k3_scmpds_2(2)),k2_compos_1(k1_scmpds_2)),k8_scmpds_2(k3_scmp_gcd,3,9)),k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,6,3)),k15_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,2,3)),k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,7,3)),k16_scmpds_2(k3_scmp_gcd,k2_scmp_gcd,k1_nat_1(4,k14_scmpds_i),1)),k11_scmpds_2(k2_scmp_gcd,1,4)),k6_scmpds_2(k3_scmp_gcd,k15_scmpds_i)),k3_scmpds_2(k4_xcmplx_0(7))),k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,2,6)),k4_scmpds_2(k3_scmp_gcd)) )).
fof(d4_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => k3_scmpds_2(A) = k3_xtuple_0(14,k1_xboole_0,k9_finseq_1(A)) ) )).
fof(d4_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => k4_scmpds_4(A,B) = k1_scmpds_4(k9_compos_1(k1_scmpds_2,A),k9_compos_1(k1_scmpds_2,B)) ) ) )).
fof(d4_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k2_scmpds_6(A,B,C,D) = k1_scmpds_4(k1_scmpds_4(k2_scmpds_4(k7_scmpds_2(A,B,k1_nat_1(k4_card_1(C),2)),C),k1_scmpds_6(k1_nat_1(k4_card_1(D),1))),D) ) ) ) ) )).
fof(d4_scmpds_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k4_scmpds_7(A,B,C,D,E) = k1_scmpds_4(k4_scmpds_4(k10_scmpds_2(k1_scmp_gcd(A),C,k5_numbers),k5_scmpds_2(k1_scmp_gcd(D),E)),k2_scmpds_7(k1_scmp_gcd(A),B,1,k4_scmpds_4(k12_scmpds_2(k1_scmp_gcd(A),k1_scmp_gcd(E),C,k5_numbers),k11_scmpds_2(k1_scmp_gcd(D),k5_numbers,1)))) ) ) ) ) ) )).
fof(d4_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( v1_int_1(C) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(D,k1_xboole_0,k2_scmpds_i(B,C)) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k5_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,1) ) ) ) ) ) )).
fof(d4_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => k2_scmring1(A,B) = k1_funct_1(B,k4_ordinal1) ) ) )).
fof(d4_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => k4_scmring2(A,B,C) = k3_xtuple_0(2,k1_xboole_0,k10_finseq_1(B,C)) ) ) ) )).
fof(d4_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(8)) & B = k3_xtuple_0(D,k12_finseq_1(k4_ordinal1,C),k1_xboole_0) ) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k4_scmringi(A,B) <=> ? [D] : ( m2_finseq_1(D,k4_ordinal1) & D = k5_xtuple_0(B) & C = k7_partfun1(k4_ordinal1,D,1) ) ) ) ) ) ) )).
fof(d4_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v3_scmyciel(B,A) <=> ! [C] : ( r2_tarski(C,B) => r1_ordinal1(k1_card_1(C),k1_nat_1(A,1)) ) ) ) )).
fof(d4_scpinvar,axiom,( k4_scpinvar = k1_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)))) )).
fof(d4_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_semi_af1(A,B,C,D,E) <=> ~ ( ~ ( B = C & D = E ) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_semi_af1(A,F,G,B,C) & r2_semi_af1(A,F,G,D,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_seq_2(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k1_funct_1(A,C),B) ) ) ) ) )).
fof(d4_seq_4,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_seq_4(A) = k5_funcop_1(k5_binop_2,A,k6_partfun1(k2_numbers)) ) )).
fof(d4_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( C = k5_seqfunc(A,B) <=> ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,C,D),k56_valued_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,B,D))) ) ) ) ) ) )).
fof(d4_seqm_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v3_valued_0(A) ) => ( v8_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & r1_xxreal_0(B,C) ) => r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d4_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_series_1(A) <=> v1_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)) ) ) )).
fof(d4_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ( C = k2_setfam_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ? [F] : ( r2_tarski(E,A) & r2_tarski(F,B) & D = k2_xboole_0(E,F) ) ) ) )).
fof(d4_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k3_kurato_0(A,B) = k1_kurato_0(A,k2_setlim_1(A,B)) ) )).
fof(d4_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k4_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k5_subset_1(A,k8_nat_1(k9_setfam_1(A),B,E),k8_nat_1(k9_setfam_1(A),C,E)) ) ) ) ) ) )).
fof(d4_setwiseo,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)))) ) => ( B = k9_setwiseo(A) <=> ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => k4_binop_1(k5_finsub_1(A),B,C,D) = k5_setwiseo(A,C,D) ) ) ) ) )).
fof(d4_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( m1_subset_1(B,k5_finsub_1(k3_scmfsa_2)) => ( ( ( k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 9 | k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 10 ) => ( B = k4_sf_mastr(A) <=> ? [C] : ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & ? [E] : ( m1_scmfsa_2(E) & ( A = k14_scmfsa_2(D,C,E) | A = k15_scmfsa_2(D,C,E) ) & B = k1_tarski(E) ) ) ) ) ) & ( ( k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 11 | k5_compos_0(u1_compos_1(k1_scmfsa_2),A) = 12 ) => ( B = k4_sf_mastr(A) <=> ? [C] : ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & ? [D] : ( m1_scmfsa_2(D) & ( A = k16_scmfsa_2(C,D) | A = k17_scmfsa_2(C,D) ) & B = k1_tarski(D) ) ) ) ) & ~ ( k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 9 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 10 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 11 & k5_compos_0(u1_compos_1(k1_scmfsa_2),A) != 12 & ~ ( B = k4_sf_mastr(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d4_sfmastr1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => k1_sfmastr1(A,B) = k9_scmfsa_m(A,k3_sf_mastr(B)) ) ) )).
fof(d4_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( r1_sfmastr2(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_funct_1(B,C),E) => r5_scmfsa7b(D,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(A,B,D,C),E),k1_funct_4(A,k1_sfmastr2(C,D))) ) ) ) ) ) ) ) )).
fof(d4_sfmastr3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( m1_scmfsa_2(D) => k3_sfmastr3(A,B,C,D) = k3_scmfsa6a(k6_scmfsa_2(C,A),k2_sfmastr3(k9_scmfsa_m(3,k6_scmfsa_m(A,B,C)),A,B,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(A,B,C)),k9_scmfsa_m(3,k6_scmfsa_m(A,B,C)),D),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(A,B,C)),C,D)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(A,B,C)),k9_scmfsa_m(1,k6_scmfsa_m(A,B,C)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,k9_scmfsa_m(3,k6_scmfsa_m(A,B,C)))),k4_compos_1(k1_scmfsa_2))))) ) ) ) ) )).
fof(d4_sgraph1,axiom,( ! [A] : ! [B] : ( ( v1_sgraph1(B) & l1_sgraph1(B) ) => ( m1_sgraph1(B,A) <=> m1_subset_1(B,k3_sgraph1(A)) ) ) )).
fof(d4_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v2_sheffer1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k2_sheffer1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,B,C) = C & k1_lattices(A,C,B) = C ) ) ) ) ) ) )).
fof(d4_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k4_simplex0(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> v1_simplex0(C,A) ) ) ) ) ) )).
fof(d4_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ! [C] : ( m1_simplex0(C,u1_struct_0(A)) => ( m1_simplex1(C,A,B) <=> ( r1_tarski(k3_simplex1(A,B),k3_simplex1(A,C)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ~ ( v3_pre_topc(D,C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v3_pre_topc(E,B) & r1_tarski(k3_convex1(A,k1_simplex1(A,C,D)),k3_convex1(A,k1_simplex1(A,B,E))) ) ) ) ) ) ) ) ) ) )).
fof(d4_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v1_simplex2(B,A) & l1_pre_topc(B) ) => ! [C] : ( v1_xreal_0(C) => ( C = k1_simplex2(A,B) <=> ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => r1_xxreal_0(k2_tbsp_1(A,D),C) ) ) & ! [D] : ( v1_xreal_0(D) => ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => r1_xxreal_0(k2_tbsp_1(A,E),D) ) ) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) )).
fof(d4_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( B = k3_sin_cos(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,B,C) = k7_xcmplx_0(k2_comseq_3(A,C),k2_newton(C)) ) ) ) ) )).
fof(d4_sin_cos2,axiom,( ! [A] : k4_sin_cos2(A) = k1_funct_1(k3_sin_cos2,A) )).
fof(d4_sin_cos3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( A = k4_sin_cos3 <=> ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(A,B) = k7_xcmplx_0(k2_xcmplx_0(k15_sin_cos(B),k15_sin_cos(k4_xcmplx_0(B))),2) ) ) ) )).
fof(d4_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => k4_sin_cos4(A) = k7_xcmplx_0(1,k19_sin_cos(A)) ) )).
fof(d4_sin_cos6,axiom,( ! [A] : k4_sin_cos6(A) = k1_funct_1(k3_sin_cos6,A) )).
fof(d4_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => k4_sin_cos7(A) = k3_xcmplx_0(k7_xcmplx_0(1,2),k3_power(k4_power,k7_xcmplx_0(k2_xcmplx_0(1,A),k6_xcmplx_0(1,A)))) ) )).
fof(d4_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => k4_sin_cos9(A) = k1_funct_1(k2_sin_cos9,A) ) )).
fof(d4_sincos10,axiom,( k4_sincos10 = k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(d4_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v4_srings_1(B,A) <=> ? [C] : ( v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_setfam_1(C,A) ) ) ) )).
fof(d4_stacks_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k5_stacks_1(A,B) = k3_funct_2(u4_struct_0(A),u4_struct_0(A),u3_stacks_1(A),B) ) ) )).
fof(d4_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => k3_struct_0(A) = k6_partfun1(u1_struct_0(A)) ) )).
fof(d4_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k3_subset_1(A,B) = k4_xboole_0(A,B) ) )).
fof(d4_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_lattices(C) & l3_lattices(C) ) => ( C = k5_substlat(A,B) <=> ( u1_struct_0(C) = k1_substlat(A,B) & ! [D] : ( m2_subset_1(D,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [E] : ( m2_subset_1(E,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ( k1_binop_1(u2_lattices(C),D,E) = k3_substlat(A,B,k2_substlat(A,B,D,E)) & k1_binop_1(u1_lattices(C),D,E) = k3_substlat(A,B,k4_substlat(A,B,D,E)) ) ) ) ) ) ) )).
fof(d4_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k8_substut2(A,B,C,D) = D ) ) ) ) )).
fof(d4_supinf_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k6_numbers))) ) => ! [B] : ( v2_membered(B) => ( B = k6_supinf_1(A) <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v2_membered(D) & r2_hidden(D,A) & C = k2_xxreal_2(D) ) ) ) ) ) ) )).
fof(d4_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k6_supinf_2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_supinf_2(B)))) ) => ( D = k14_supinf_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k12_supinf_2(D,E) = k2_supinf_2(k12_supinf_2(C,E)) ) ) ) ) ) ) )).
fof(d4_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => k2_t_0topsp(A) = k8_eqrel_1(u1_struct_0(A),k1_t_0topsp(A)) ) )).
fof(d4_tarski,axiom,( ! [A] : ! [B] : ( B = k3_tarski(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_hidden(C,D) & r2_hidden(D,A) ) ) ) )).
fof(d4_taxonom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( m1_taxonom2(B,A) <=> v3_taxonom2(B) ) ) )).
fof(d4_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( B = k4_taylor_1(A) <=> ( k1_relset_1(k1_numbers,B) = k3_limfunc1(k5_numbers) & ! [C] : ( m2_subset_1(C,k1_numbers,k3_limfunc1(k5_numbers)) => k1_funct_1(B,C) = k6_prepower(C,A) ) ) ) ) ) )).
fof(d4_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_tbsp_1(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k1_metric_1(A,k8_nat_1(u1_struct_0(A),B,E),k8_nat_1(u1_struct_0(A),B,F))) ) ) ) ) ) ) ) ) )).
fof(d4_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_tdgroup(A,B,C,D,E) <=> r2_hidden(k4_tarski(k4_tarski(B,C),k4_tarski(D,E)),u1_analoaf(k2_tdgroup(A))) ) ) ) ) ) ) )).
fof(d4_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k4_tdlat_1(A) = g3_lattices(k1_tdlat_1(A),k2_tdlat_1(A),k3_tdlat_1(A)) ) )).
fof(d4_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( ( r1_termord(A,B,C,D) => k1_termord(A,B,C,D) = C ) & ( ~ r1_termord(A,B,C,D) => k1_termord(A,B,C,D) = D ) ) ) ) ) ) )).
fof(d4_tex_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => k3_tex_1(A,B) = g1_pre_topc(A,k7_subset_1(k1_zfmisc_1(A),k9_setfam_1(A),a_2_0_tex_1(A,B))) ) )).
fof(d4_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v4_tex_3(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v3_tops_1(C,A) ) ) ) ) ) )).
fof(d4_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_pre_topc(D,A) => k2_tmap_1(A,B,C,D) = k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D)) ) ) ) ) )).
fof(d4_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( C = k4_toler_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( v1_toler_1(D,A,B) & m1_toler_1(D,A,B) ) ) ) ) )).
fof(d4_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_topalg_1(A,B) = k3_topalg_1(A,B,B) ) ) )).
fof(d4_topalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ( D = k3_topalg_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k5_topmetr)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => k1_binop_1(D,E,F) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,F),k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),B,E)),k3_xcmplx_0(F,k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),C,E))) ) ) ) ) ) ) ) )).
fof(d4_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2))))) ) => ( B = k5_topalg_5(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),B,C) = k19_euclid(k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A),C)),k17_sin_cos(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A),C))) ) ) ) ) )).
fof(d4_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(A)))) ) => ( v4_topalg_6(B,A) <=> ( v6_xxreal_2(k1_relset_1(u1_struct_0(k2_topalg_2),B)) & m1_subset_1(k1_relset_1(u1_struct_0(k2_topalg_2),B),k1_zfmisc_1(k1_numbers)) & ? [C] : ( m1_pre_topc(C,k2_topalg_2) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) & B = D & C = k1_pre_topc(k2_topalg_2,k1_relset_1(u1_struct_0(k2_topalg_2),B)) & v5_pre_topc(D,C,A) ) ) ) ) ) ) )).
fof(d4_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & l1_topgrp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => k6_topalg_7(A,B,C) = k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,k3_group_1(A)) ) ) ) )).
fof(d4_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_topdim_1(A) <=> v1_topdim_1(k2_struct_0(A),A) ) ) )).
fof(d4_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r2_topgen_1(A,B,C) <=> ( r2_tarski(C,B) & ~ r1_topgen_1(A,B,C) ) ) ) ) )).
fof(d4_topgen_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_topgen_2(A) <=> v1_finset_1(k2_waybel23(A)) ) ) )).
fof(d4_topgen_3,axiom,( k3_topgen_3 = k1_card_1(k1_numbers) )).
fof(d4_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_topgen_4(B,A) <=> ! [C] : ( ( v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_tarski(C,B) => r2_tarski(k5_setfam_1(A,C),B) ) ) ) ) )).
fof(d4_topgen_5,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_topgen_5(A) <=> ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,k3_subset_1(u1_struct_0(A),B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k5_topmetr)) & v5_pre_topc(D,A,k5_topmetr) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_topmetr)))) ) => ~ ( k1_funct_1(D,C) = k5_numbers & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(k5_topmetr),D,B),k6_domain_1(k4_ordinal1,1)) ) ) ) ) ) ) ) )).
fof(d4_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( m2_topgrp_1(B,A) <=> v3_tops_2(B,A,A) ) ) ) )).
fof(d4_topmetr,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_topmetr(B,A) <=> ! [C] : ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => C != k8_metric_1(A,D,E) ) ) ) ) ) ) )).
fof(d4_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => k3_topreal1(A,B) = k3_tarski(a_2_0_topreal1(A,B)) ) ) )).
fof(d4_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k6_toprealb(A) = A ) )).
fof(d4_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v3_membered(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(k15_euclid(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(k15_euclid(A))))) ) => ( E = k14_toprealc(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,B) => k3_funct_2(B,u1_struct_0(k15_euclid(A)),E,F) = k2_finseq_2(A,k3_funct_2(B,C,D,F)) ) ) ) ) ) ) ) )).
fof(d4_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k3_toprns_1(A,B) = k5_vfunct_1(k4_ordinal1,k15_euclid(A),B) ) ) )).
fof(d4_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tops_1(B,A) <=> v1_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(d4_tops_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => k2_tops_2(A,B,C) = k2_funct_1(C) ) ) )).
fof(d4_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r3_transgeo(A,B) <=> r1_transgeo(u1_struct_0(A),B,u1_analoaf(A)) ) ) ) )).
fof(d4_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(k5_numbers,1))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_topmetr(k5_numbers,1))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1))))) ) => ( E = k4_treal_1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k4_topmetr(A,B))) => k3_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),E,F) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B,F),C),k3_xcmplx_0(k6_xcmplx_0(F,A),D)),k6_xcmplx_0(B,A)) ) ) ) ) ) ) ) ) )).
fof(d4_trees_1,axiom,( ! [A] : ( v7_ordinal1(A) => k2_trees_1(A) = k2_xboole_0(a_1_0_trees_1(A),k1_tarski(k1_xboole_0)) ) )).
fof(d4_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( m2_trees_2(B,A) <=> ? [C] : ( v7_ordinal1(C) & B = a_2_0_trees_2(A,C) ) ) ) ) )).
fof(d4_trees_3,axiom,( ! [A] : ( v2_trees_3(A) <=> ! [B] : ( r2_hidden(B,A) => ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) ) ) )).
fof(d4_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v6_trees_3(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( C = k4_trees_4(A,B) <=> ( ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v6_trees_3(D) & B = D & k9_xtuple_0(C) = k11_trees_3(k1_funct_6(D)) ) & k1_funct_1(C,k1_xboole_0) = A & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(B),D) => k5_trees_2(C,k14_trees_3(D)) = k1_funct_1(B,k1_nat_1(D,1)) ) ) ) ) ) ) ) )).
fof(d4_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( ~ r1_tsep_1(B,C) => ! [D] : ( ( ~ v2_struct_0(D) & v1_pre_topc(D) & m1_pre_topc(D,A) ) => ( D = k2_tsep_1(A,B,C) <=> u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) ) ) ) ) ) )).
fof(d4_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => k6_turing_1(A,B) = k2_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),B) ) ) )).
fof(d4_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k5_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k1_binarith(k8_margrel1(B),C) ) ) ) ) )).
fof(d4_unialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( B = k1_unialg_1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(u1_unialg_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ! [D] : ( ( v1_funct_1(D) & ~ v1_xboole_0(D) & v2_margrel1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) => ( D = k1_funct_1(u1_unialg_1(A),C) => k1_funct_1(B,C) = k18_margrel1(D) ) ) ) ) ) ) ) ) )).
fof(d4_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_unialg_2(B,A) <=> ! [C] : ( m5_margrel1(C,u1_struct_0(A),k1_unialg_2(A)) => r2_unialg_2(A,B,C) ) ) ) ) )).
fof(d4_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_unialg_3(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_unialg_3(A),k9_setfam_1(u1_struct_0(A))))) ) => ( B = k3_unialg_3(A) <=> ! [C] : ( m2_unialg_3(C,A,k1_unialg_3(A)) => ! [D] : ( m1_unialg_2(D,A) => ( C = D => k3_funct_2(k1_unialg_3(A),k9_setfam_1(u1_struct_0(A)),B,C) = u1_struct_0(D) ) ) ) ) ) ) )).
fof(d4_uniroots,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_vectsp_1(B) & l6_algstr_0(B) ) => k4_uniroots(A,B) = k14_funct_7(k4_ordinal1,u1_struct_0(B),k14_funct_7(k4_ordinal1,u1_struct_0(B),k9_polynom3(B),k5_numbers,k4_algstr_0(B,k1_group_1(B))),A,k1_group_1(B)) ) ) )).
fof(d4_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k3_uproots(A,B) <=> ? [D] : ( m2_finseq_1(D,k4_ordinal1) & C = k1_wsierp_1(D) & D = k3_relat_1(k19_finseq_1(k22_pre_poly(A,B)),B) ) ) ) ) )).
fof(d4_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( B = k4_urysohn1(A) <=> ( k4_finseq_1(B) = k2_finseq_1(k1_nat_1(k1_newton(2,A),1)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k7_xcmplx_0(k6_xcmplx_0(C,1),k1_newton(2,A)) ) ) ) ) ) ) )).
fof(d4_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v10_pre_topc(A) & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) ) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_urysohn1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_urysohn1,k9_setfam_1(u1_struct_0(A))))) ) => ( E = k2_urysohn3(A,B,C,D) <=> ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k3_urysohn1) => ( ( r2_hidden(F,k10_prob_1(k5_numbers)) => k1_funct_1(E,F) = k1_xboole_0 ) & ( r2_hidden(F,k3_limfunc1(1)) => k1_funct_1(E,F) = u1_struct_0(A) ) & ( r2_hidden(F,k2_urysohn1) => ! [G] : ( v7_ordinal1(G) => ( r2_hidden(F,k1_urysohn1(G)) => k1_funct_1(E,F) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,G),F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m1_subset_1(E,k2_margrel1(B)) => ! [F] : ( m2_funct_2(F,k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ( F = k5_valuat_1(A,B,C,D,E) <=> ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( ( r2_tarski(k4_valuat_1(A,B,C,D,G),E) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,F,G) = k7_margrel1 ) & ( k3_funct_2(k2_valuat_1(A,B),k5_margrel1,F,G) = k7_margrel1 => r2_tarski(k4_valuat_1(A,B,C,D,G),E) ) & ( ~ r2_tarski(k4_valuat_1(A,B,C,D,G),E) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,F,G) = k6_margrel1 ) & ~ ( k3_funct_2(k2_valuat_1(A,B),k5_margrel1,F,G) = k6_margrel1 & r2_tarski(k4_valuat_1(A,B,C,D,G),E) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k18_valued_1(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k3_xcmplx_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d4_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( B = k1_vectmetr(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(C,u1_struct_0(A)) & v3_vectmetr(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) ) )).
fof(d4_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => k4_vectsp10(A,B,C) = u1_struct_0(C) ) ) ) )).
fof(d4_vectsp11,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( D = k1_vectsp11(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k15_monoid_0(u1_struct_0(A)))) => ( E = B => D = k3_group_4(k15_monoid_0(u1_struct_0(A)),k5_finseq_2(u1_struct_0(k15_monoid_0(u1_struct_0(A))),C,E)) ) ) ) ) ) ) ) )).
fof(d4_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v3_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) ) ) )).
fof(d4_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k2_vectsp_2(A) = g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A)) ) )).
fof(d4_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k2_vectsp_4(A,B) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) )).
fof(d4_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( r1_vectsp_5(A,B,C,D) <=> ( g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_5(A,B,C,D) & k2_vectsp_5(A,B,C,D) = k1_vectsp_4(A,B) ) ) ) ) ) ) )).
fof(d4_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_vectsp_6(D,A,B) => ( m2_vectsp_6(D,A,B,C) <=> r1_tarski(k1_vectsp_6(A,B,D),C) ) ) ) ) ) )).
fof(d4_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_vectsp_8(A,B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_vectsp_8(A,B),k9_setfam_1(u1_struct_0(B))))) ) => ( C = k4_vectsp_8(A,B) <=> ! [D] : ( m2_vectsp_8(D,A,B,k2_vectsp_8(A,B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( D = E => k3_funct_2(k2_vectsp_8(A,B),k9_setfam_1(u1_struct_0(B)),C,D) = u1_struct_0(E) ) ) ) ) ) ) ) )).
fof(d4_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( E = k4_vfunct_1(A,B,C,D) <=> ( k1_relset_1(A,E) = k1_relset_1(A,C) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_relset_1(A,E)) => k7_partfun1(u1_struct_0(B),E,F) = k1_rlvect_1(B,k7_partfun1(u1_struct_0(B),C,F),D) ) ) ) ) ) ) ) ) ) )).
fof(d4_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( G = k4_vsdiff_1(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(D),G,H) = k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,k3_rlvect_1(C,H,F)) ) ) ) ) ) ) ) ) ) )).
fof(d4_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_waybel10(A)),u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_waybel10(A)),u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A)))))) ) => ( B = k5_waybel10(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k1_funct_1(B,C) = k1_yellow_2(A,A,C) ) ) ) ) )).
fof(d4_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_waybel_9(A) ) => ( v4_waybel11(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> ( v1_waybel11(B,A) & v13_waybel_0(B,A) ) ) ) ) ) )).
fof(d4_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_waybel12(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( C != k3_yellow_0(A) & k11_lattice3(A,B,C) = k3_yellow_0(A) ) ) ) ) ) )).
fof(d4_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k1_waybel16(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> v1_waybel16(C,A) ) ) ) ) ) )).
fof(d4_waybel17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_waybel17(A,B) = g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),k17_funct_3(u1_struct_0(A),u1_struct_0(A),k6_partfun1(u1_struct_0(A)),B)) ) ) )).
fof(d4_waybel18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => k6_waybel18(A,B,C) = k12_card_3(k12_pralg_1(A,B),C) ) ) ) )).
fof(d4_waybel19,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k2_waybel19(A) <=> ! [C] : ( ( v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,A) ) => B = u1_pre_topc(C) ) ) ) ) )).
fof(d4_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k4_waybel20(A,B) = k8_relset_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(k3_yellow_3(A,A)),k1_waybel20(A,A,A,A,B,B),k6_partfun1(u1_struct_0(A))) ) ) )).
fof(d4_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_waybel21(C,A,B) <=> ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_waybel11(A,D)) = k1_waybel11(B,k6_waybel_9(A,B,C,D)) ) ) ) ) ) )).
fof(d4_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel23(B,A) <=> v8_yellow_0(k5_yellow_0(A,B),A) ) ) ) )).
fof(d4_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_waybel25(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,k1_waybel25(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_waybel25(A)))) ) => ( r1_yellow_0(k1_waybel25(A),B) & ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(k1_yellow_0(k1_waybel25(A),B),C) & r1_xboole_0(B,C) ) ) ) ) ) ) )).
fof(d4_waybel26,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k5_waybel26(A) = k2_relat_1(k3_card_3(k2_card_3(A))) ) )).
fof(d4_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( C = k2_waybel27(A,B) <=> ( v4_yellow_0(C,k5_yellow_1(u1_struct_0(A),B)) & m1_yellow_0(C,k5_yellow_1(u1_struct_0(A),B)) & ! [D] : ( r2_tarski(D,u1_struct_0(C)) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v22_waybel_0(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) ) )).
fof(d4_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => k4_waybel28(A) = u1_pre_topc(k12_yellow_6(A,k3_waybel28(A))) ) )).
fof(d4_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_waybel26(A,k9_waybel18)),u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel26(A,k9_waybel18)),u1_struct_0(k1_yellow_1(u1_pre_topc(A)))))) ) => ( B = k4_waybel29(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k9_waybel18)) & v5_pre_topc(C,A,k9_waybel18) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k9_waybel18)))) ) => k1_funct_1(B,C) = k8_relset_1(u1_struct_0(A),u1_struct_0(k9_waybel18),C,k1_tarski(1)) ) ) ) ) )).
fof(d4_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_waybel_9(A) ) => ( v3_waybel30(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( v1_tops_2(C,A) & v1_yellow_8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) => v5_yellow_0(k5_yellow_0(A,D),A) ) ) ) ) ) ) )).
fof(d4_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_waybel_0(C,A) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( C = k2_waybel32(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & C = k1_waybel32(A,B,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = k2_yellow_0(A,a_3_1_waybel32(A,B,E)) ) ) ) ) ) ) )).
fof(d4_waybel34,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ ! [B] : ( m1_subset_1(B,A) => v1_xboole_0(B) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & v2_yellow21(B) & l2_altcat_1(B) ) => ( B = k4_waybel34(A) <=> ( ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ( m1_subset_1(C,u1_struct_0(B)) <=> ( v1_orders_2(C) & v3_lattice3(C) & r2_tarski(u1_struct_0(C),A) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))) & v5_orders_3(E,k3_yellow21(B,C),k3_yellow21(B,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))))) ) => ( r2_tarski(E,k1_altcat_1(B,C,D)) <=> v17_waybel_0(E,k3_yellow21(B,C),k3_yellow21(B,D)) ) ) ) ) ) ) ) ) ) )).
fof(d4_waybel35,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ( m1_waybel35(C,A,B) => ( v2_waybel35(C,A,B) <=> ! [D] : ( m1_waybel35(D,A,B) => ( r1_lattice7(A,C,D) => C = D ) ) ) ) ) ) )).
fof(d4_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ( v4_waybel_0(B,A) <=> ! [C] : ( ( v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r1_yellow_0(A,C) => ( C = k1_xboole_0 | r2_tarski(k1_yellow_0(A,C),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(d4_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( r1_waybel_1(A,B) <=> ( r2_yellow_0(A,B) & r2_tarski(k2_yellow_0(A,B),B) ) ) ) )).
fof(d4_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)))) ) => ( B = k4_waybel_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_binop_1(B,C,D) = k11_lattice3(A,C,D) ) ) ) ) ) )).
fof(d4_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_waybel_3(A,B) = a_2_1_waybel_3(A,B) ) ) )).
fof(d4_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v2_waybel_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_orders_2(A,F,C) & r2_hidden(k4_tarski(C,D),B) & r1_orders_2(A,D,E) ) => r2_hidden(k4_tarski(F,E),B) ) ) ) ) ) ) ) ) )).
fof(d4_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k2_waybel_6(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> v2_waybel_6(C,A) ) ) ) ) ) )).
fof(d4_waybel_7,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ! [C] : ( r1_waybel_7(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(D,A) & r2_hidden(C,D) ) => ! [E] : ~ ( r2_tarski(E,B) & r1_xboole_0(D,E) ) ) ) ) ) )).
fof(d4_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v2_waybel_8(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_xboole_0(k2_waybel_8(A,B)) & v1_waybel_0(k2_waybel_8(A,B),A) ) ) & v24_waybel_0(A) & v1_waybel_8(A) ) ) ) )).
fof(d4_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_waybel_0(B,A) => ( r2_waybel_9(A,B) <=> r2_yellow_0(A,k2_relset_1(u1_struct_0(A),u1_waybel_0(A,B))) ) ) ) )).
fof(d4_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v36_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ( B = k4_weddwitt(A) <=> ( u1_struct_0(B) = a_1_1_weddwitt(A) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) & k4_struct_0(B) = k4_struct_0(A) & k5_struct_0(B) = k5_struct_0(A) ) ) ) ) )).
fof(d4_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)))) ) => ( C = k4_weierstr(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k3_metric_1(A,D,B) ) ) ) ) ) )).
fof(d4_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k1_wellfnd1(A) <=> B = k3_tarski(a_1_0_wellfnd1(A)) ) ) ) )).
fof(d4_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_wellord1(A) <=> ( v1_relat_2(A) & v8_relat_2(A) & v4_relat_2(A) & v6_relat_2(A) & v1_wellord1(A) ) ) ) )).
fof(d4_wellord2,axiom,( ! [A] : ! [B] : ( r2_wellord2(A,B) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v2_funct_1(C) & k9_xtuple_0(C) = A & k10_xtuple_0(C) = B ) ) )).
fof(d4_xboole_0,axiom,( ! [A] : ! [B] : ! [C] : ( C = k3_xboole_0(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,A) & r2_hidden(D,B) ) ) ) )).
fof(d4_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k3_xboolean(A) = k6_xcmplx_0(1,A) ) )).
fof(d4_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( C = k3_xcmplx_0(A,B) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & ? [E] : ( m1_subset_1(E,k1_numbers) & ? [F] : ( m1_subset_1(F,k1_numbers) & ? [G] : ( m1_subset_1(G,k1_numbers) & A = k5_arytm_0(D,E) & B = k5_arytm_0(F,G) & C = k5_arytm_0(k1_arytm_0(k2_arytm_0(D,F),k3_arytm_0(k2_arytm_0(E,G))),k1_arytm_0(k2_arytm_0(D,G),k2_arytm_0(E,F))) ) ) ) ) ) ) ) )).
fof(d4_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : k3_xtuple_0(A,B,C) = k4_tarski(k4_tarski(A,B),C) )).
fof(d4_xxreal_0,axiom,( k6_numbers = k2_xboole_0(k1_numbers,k2_tarski(k1_xxreal_0,k2_xxreal_0)) )).
fof(d4_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k4_xxreal_1(A,B) = a_2_3_xxreal_1(A,B) ) ) )).
fof(d4_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ( B = k2_xxreal_2(A) <=> ( m2_xxreal_2(B,A) & ! [C] : ( m2_xxreal_2(C,A) => r1_xxreal_0(C,B) ) ) ) ) ) )).
fof(d4_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k3_xxreal_3(A,B) = k1_xxreal_3(A,k2_xxreal_3(B)) ) ) )).
fof(d4_yellow11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k3_yellow11(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) <=> ( r1_orders_2(A,B,E) & r1_orders_2(A,E,C) ) ) ) ) ) ) ) ) )).
fof(d4_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( m2_yellow13(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => m1_yellow13(B,A,C) ) ) ) ) )).
fof(d4_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r4_yellow16(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & r2_yellow16(A,B,C) ) ) ) ) )).
fof(d4_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & l2_altcat_1(B) ) => ( B = k1_yellow18(A) <=> r2_yellow18(A,B) ) ) ) )).
fof(d4_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v6_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( D = k3_yellow19(A,B,C) <=> ( u1_struct_0(D) = a_3_0_yellow19(A,B,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( r1_orders_2(D,E,F) <=> r1_tarski(k2_xfamily(F),k2_xfamily(E)) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => k2_waybel_0(A,D,E) = k1_xfamily(E) ) ) ) ) ) ) ) )).
fof(d4_yellow20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v11_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_altcat_1(E) & v11_altcat_1(E) & v12_altcat_1(E) & l2_altcat_1(E) ) => ( r2_yellow20(A,B,C,D,E) <=> ( v2_altcat_1(D) & v3_altcat_2(D,A) & m1_altcat_2(D,A) & v2_altcat_1(E) & v3_altcat_2(E,B) & m1_altcat_2(E,B) & ? [F] : ( v15_functor0(F,D,E) & m2_functor0(F,D,E) & v21_functor0(F,D,E) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( G = H => k3_functor0(D,E,F,G) = k3_functor0(A,B,C,H) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( G = I & H = J ) => ( k1_altcat_1(D,G,H) = k1_xboole_0 | ! [K] : ( m1_subset_1(K,k1_altcat_1(D,G,H)) => ! [L] : ( m1_subset_1(L,k1_altcat_1(A,I,J)) => ( K = L => k6_functor0(D,E,F,G,H,K) = k1_funct_1(k4_functor0(A,B,C,I,J),L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v2_yellow21(A) <=> ( v9_altcat_1(A) & v3_yellow18(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_orders_2(D) & v4_orders_2(D) & v5_orders_2(D) & v1_lattice3(D) & v2_lattice3(D) & l1_orders_2(D) ) => ! [E] : ( ( v3_orders_2(E) & v4_orders_2(E) & v5_orders_2(E) & v1_lattice3(E) & v2_lattice3(E) & l1_orders_2(E) ) => ( ( D = B & E = C ) => r1_tarski(k1_altcat_1(A,B,C),k1_orders_3(D,E)) ) ) ) ) ) ) ) ) )).
fof(d4_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_yellow_0(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & r1_lattice3(A,u1_struct_0(A),B) ) ) ) )).
fof(d4_yellow_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( C = k4_yellow_1(A,B) <=> ( u1_struct_0(C) = k4_card_3(k12_pralg_1(A,B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r2_tarski(D,k4_card_3(k12_pralg_1(A,B))) => ( r1_orders_2(C,D,E) <=> ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & F = D & G = E & ! [H] : ~ ( r2_hidden(H,A) & ! [I] : ( l1_orders_2(I) => ! [J] : ( m1_subset_1(J,u1_struct_0(I)) => ! [K] : ( m1_subset_1(K,u1_struct_0(I)) => ~ ( I = k1_funct_1(B,H) & J = k1_funct_1(F,H) & K = k1_funct_1(G,H) & r1_orders_2(I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) => ( B = k3_yellow_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),B,C) = k5_waybel_0(A,C) ) ) ) ) )).
fof(d4_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_yellow_4(A,B,C) = a_3_2_yellow_4(A,B,C) ) ) ) )).
fof(d4_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => ( v1_yellow_6(B,A) <=> v3_funct_1(u1_waybel_0(A,B)) ) ) ) )).
fof(d4_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_yellow_8(A,B,C) <=> ( r2_tarski(C,B) & r1_tarski(B,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C))) ) ) ) ) ) )).
fof(d4_yellow_9,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_waybel_9(B) => ( m1_yellow_9(B,A) <=> g1_orders_2(u1_struct_0(B),u1_orders_2(B)) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) ) )).
fof(d4_zf_fund1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zf_lang)) => k4_zf_fund1(A) = k7_relat_1(k2_funct_1(k2_zf_fund1),A) ) )).
fof(d4_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k4_zf_lang(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k14_trees_3(1),k14_trees_3(A)),k14_trees_3(B)) ) ) )).
fof(d4_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r1_zf_model(A,B,C) <=> r2_tarski(B,k5_zf_model(C,A)) ) ) ) ) )).
fof(d4_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k4_zfmisc_1(A,B,C,D) = k2_zfmisc_1(k3_zfmisc_1(A,B,C),D) )).
fof(d4_zfmodel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ( r2_zfmodel1(A,B) <=> ? [C] : ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) & r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(C)) & r1_zf_model(B,D,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(C,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & A = k1_zfmodel1(C,B,D) ) ) ) ) ) )).
fof(d4_zfrefle1,axiom,( ! [A] : ( A = k1_zfrefle1 <=> ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,k8_zf_lang) & ~ ( B != k6_zf_model & B != k7_zf_model & B != k8_zf_model & B != k9_zf_model & B != k10_zf_model & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ~ ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(C)) & B = k11_zf_model(C) ) ) ) ) ) ) )).
fof(d4_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_zmodul01(A) ) => ( v4_zmodul01(A) <=> ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_zmodul01(A,D,k3_xcmplx_0(B,C)) = k1_zmodul01(A,k1_zmodul01(A,D,C),B) ) ) ) ) ) )).
fof(d4_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => k4_zmodul02(A,B) = k2_partfun1(k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A),u1_zmodul01(A),k2_zfmisc_1(k4_numbers,k1_zmodul02(A,B))) ) ) )).
fof(d4_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v3_zmodul03(A) <=> ? [B] : ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & k33_zmodul02(A,B) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) ) )).
fof(d4_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k11_gaussint),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))))) ) => ( B = k4_zmodul04(A) <=> ! [C] : ! [D] : ( ( r2_hidden(C,k3_numbers) & r2_hidden(D,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ! [G] : ( v1_int_1(G) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( C = k7_xcmplx_0(E,F) & D = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k4_tarski(H,G)) ) => ( F = k5_numbers | G = k5_numbers | k1_binop_1(B,C,D) = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k4_tarski(k1_zmodul01(A,H,E),k3_xcmplx_0(F,G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d4_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,A) ) => ( D = k3_zmodul05(A,B,C) <=> k2_struct_0(D) = a_3_0_zmodul05(A,B,C) ) ) ) ) ) )).
fof(d50_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => ( v10_abcmiz_1(B,A) <=> k47_abcmiz_1(A,B) = k1_xboole_0 ) ) ) )).
fof(d50_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ! [D] : ( l5_aofa_a00(D) => ( v21_aofa_a00(D,A,B,C) <=> ( r1_xxreal_0(k2_xcmplx_0(C,3),k3_finseq_1(u7_aofa_a00(D))) & ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & ? [G] : ( m1_subset_1(G,u1_struct_0(D)) & G = A & F = B & E != G & E != F & r1_aofa_a00(D,k1_funct_1(u7_aofa_a00(D),C),k10_finseq_1(E,F),G) & r1_aofa_a00(D,k1_funct_1(u7_aofa_a00(D),k2_xcmplx_0(C,1)),k11_finseq_1(E,F,G),E) & r1_aofa_a00(D,k1_funct_1(u7_aofa_a00(D),k2_xcmplx_0(C,2)),k9_finseq_1(E),F) & r1_aofa_a00(D,k1_funct_1(u7_aofa_a00(D),k2_xcmplx_0(C,3)),k10_finseq_1(F,G),E) ) ) ) ) ) ) ) )).
fof(d50_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => k56_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k35_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),F)) ) ) ) ) ) ) )).
fof(d50_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k26_fomodel4(A) = k23_fomodel4(A,k12_fomodel4(A)) ) )).
fof(d50_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k50_gfacirc1(A,B,C) = k3_circcomb(k46_gfacirc1(A,B,C),k43_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),k44_gfacirc1(A,B,C)) )).
fof(d50_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( v10_glib_000(B,A) <=> k35_glib_000(A,B) = k5_numbers ) ) ) )).
fof(d50_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k30_modelc_1(A)) => ( D = k40_modelc_1(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => ( k4_xboolean(k4_modelc_1(k1_funct_1(k31_modelc_1(A,B),E)),k4_modelc_1(k1_funct_1(k31_modelc_1(A,C),E))) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(A,D),E) = k7_margrel1 ) ) ) ) ) )).
fof(d50_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( B = k36_modelc_2(A) <=> ! [C] : ! [D] : ( ( r2_tarski(C,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,C,D) = k35_modelc_2(A,C,D) ) ) ) ) )).
fof(d50_modelc_3,axiom,( ! [A] : ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) => ! [B] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k23_modelc_3(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k23_modelc_3(B)))) ) => ( D = k37_modelc_3(A,B,C) <=> ( k8_nat_1(k23_modelc_3(B),D,k5_numbers) = k11_modelc_3(B) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k23_modelc_3(B),D,k1_nat_1(E,1)) = k36_modelc_3(k29_modelc_2(k43_modelc_2,A,E),B,C,k10_modelc_3(k8_nat_1(k23_modelc_3(B),D,E),B)) ) ) ) ) ) ) ) )).
fof(d51_abcmiz_1,axiom,( k49_abcmiz_1 = k7_lattice3(k1_yellow_1(a_0_2_abcmiz_1)) )).
fof(d51_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l5_aofa_a00(A) ) => ! [B] : ! [C] : ! [D] : ( v7_ordinal1(D) => ! [E] : ( l3_msualg_1(E,A) => ( v22_aofa_a00(E,A,B,C,D) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & G = B & r1_aofa_a00(A,k1_funct_1(u7_aofa_a00(A),D),k10_finseq_1(F,C),G) & k1_msafree4(u1_struct_0(A),u3_msualg_1(A,E),F) = k8_afinsq_1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,E),G)) & k1_funct_1(u3_msualg_1(A,E),C) = k4_numbers & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,E),G)) & v1_funct_1(H) & v1_finset_1(H) & v1_exchsort(H) & v2_exchsort(H,k5_numbers) ) => ( ! [I] : ( v1_int_1(I) => ( r2_hidden(I,k2_afinsq_1(H)) => ( k1_funct_1(k5_msualg_1(A,k7_partfun1(u4_struct_0(A),u7_aofa_a00(A),D),E),k10_finseq_1(H,I)) = k1_funct_1(H,I) & ! [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,E),G)) => k1_funct_1(k5_msualg_1(A,k7_partfun1(u4_struct_0(A),u7_aofa_a00(A),k2_xcmplx_0(D,1)),E),k11_finseq_1(H,I,J)) = k1_funct_7(H,I,J) ) ) ) ) & k1_funct_1(k5_msualg_1(A,k7_partfun1(u4_struct_0(A),u7_aofa_a00(A),k2_xcmplx_0(D,2)),E),k9_finseq_1(H)) = k4_card_1(H) ) ) & ! [H] : ( v1_int_1(H) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,E),G)) => ( r1_xxreal_0(k5_numbers,H) => k1_funct_1(k5_msualg_1(A,k7_partfun1(u4_struct_0(A),u7_aofa_a00(A),k2_xcmplx_0(D,3)),E),k10_finseq_1(H,I)) = k7_funcop_1(k6_ordinal1(H),I) ) ) ) ) ) ) ) ) ) )).
fof(d51_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k57_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k29_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),F)) ) ) ) ) ) ) )).
fof(d51_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k27_fomodel4(A) = k23_fomodel4(A,k13_fomodel4(A)) ) )).
fof(d51_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( v11_glib_000(B,A) <=> ? [C] : ( k28_glib_000(A,B) = k1_tarski(C) & ~ r1_glib_000(A,B,B,C) ) ) ) ) )).
fof(d51_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ( B = k41_modelc_1(A) <=> ! [C] : ! [D] : ( ( r2_tarski(C,k30_modelc_1(A)) & r2_tarski(D,k30_modelc_1(A)) ) => k1_binop_1(B,C,D) = k40_modelc_1(A,C,D) ) ) ) ) )).
fof(d51_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k25_modelc_2(A),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A),k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k25_modelc_2(A),k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A),k5_margrel1))) ) => ! [D] : ( ( m1_subset_1(D,k25_modelc_2(A)) => ( ! [E] : ( v7_ordinal1(E) => ~ ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => k3_funct_2(k25_modelc_2(A),k5_margrel1,B,k28_modelc_2(A,D,F)) = k7_margrel1 ) ) & k3_funct_2(k25_modelc_2(A),k5_margrel1,C,k28_modelc_2(A,D,E)) = k7_margrel1 ) ) | k37_modelc_2(A,B,C,D) = k7_margrel1 ) ) & ( ~ ( m1_subset_1(D,k25_modelc_2(A)) & ? [E] : ( v7_ordinal1(E) & ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => k3_funct_2(k25_modelc_2(A),k5_margrel1,B,k28_modelc_2(A,D,F)) = k7_margrel1 ) ) & k3_funct_2(k25_modelc_2(A),k5_margrel1,C,k28_modelc_2(A,D,E)) = k7_margrel1 ) ) => k37_modelc_2(A,B,C,D) = k6_margrel1 ) ) ) ) ) )).
fof(d52_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_aofa_a00(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l5_aofa_a00(B) ) => ! [C] : ( ( v15_aofa_a00(C) & l6_aofa_a00(C) ) => ( C = k35_aofa_a00(A,B) <=> ( g1_msualg_1(u1_struct_0(C),u4_struct_0(C),u1_msualg_1(C),u2_msualg_1(C)) = k2_circcomb(A,B) & u8_aofa_a00(C) = u8_aofa_a00(A) & u7_aofa_a00(C) = k7_finseq_1(u7_aofa_a00(A),u7_aofa_a00(B)) ) ) ) ) ) )).
fof(d52_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k58_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k31_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),F)) ) ) ) ) ) ) )).
fof(d52_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k28_fomodel4(A) = k23_fomodel4(A,k14_fomodel4(A)) ) )).
fof(d52_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( v11_glib_000(B,A) <=> k35_glib_000(A,B) = 1 ) ) ) )).
fof(d52_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( r2_tarski(E,A) => ( ! [F] : ( m1_modelc_1(F,A,B) => ~ ( k3_funct_2(k4_ordinal1,A,F,k5_numbers) = E & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ~ r1_xxreal_0(G,H) => k3_funct_2(A,k5_margrel1,C,k3_funct_2(k4_ordinal1,A,F,H)) = k7_margrel1 ) ) & k3_funct_2(A,k5_margrel1,D,k3_funct_2(k4_ordinal1,A,F,G)) = k7_margrel1 ) ) ) | k42_modelc_1(A,B,C,D,E) = k7_margrel1 ) ) & ( ~ ( r2_tarski(E,A) & ? [F] : ( m1_modelc_1(F,A,B) & k3_funct_2(k4_ordinal1,A,F,k5_numbers) = E & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ~ r1_xxreal_0(G,H) => k3_funct_2(A,k5_margrel1,C,k3_funct_2(k4_ordinal1,A,F,H)) = k7_margrel1 ) ) & k3_funct_2(A,k5_margrel1,D,k3_funct_2(k4_ordinal1,A,F,G)) = k7_margrel1 ) ) ) => k42_modelc_1(A,B,C,D,E) = k6_margrel1 ) ) ) ) ) ) )).
fof(d52_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ( D = k38_modelc_2(A,B,C) <=> ! [E] : ( r2_tarski(E,k25_modelc_2(A)) => ( k37_modelc_2(A,k31_modelc_1(k25_modelc_2(A),B),k31_modelc_1(k25_modelc_2(A),C),E) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(k25_modelc_2(A),D),E) = k7_margrel1 ) ) ) ) ) )).
fof(d53_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k59_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k36_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),k43_aofa_i00(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(d53_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k29_fomodel4(A) = k23_fomodel4(A,k15_fomodel4(A)) ) )).
fof(d53_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k30_modelc_1(A)) => ( E = k43_modelc_1(A,B,C,D) <=> ! [F] : ( r2_tarski(F,A) => ( k42_modelc_1(A,B,k31_modelc_1(A,C),k31_modelc_1(A,D),F) = k7_margrel1 <=> k1_funct_1(k31_modelc_1(A,E),F) = k7_margrel1 ) ) ) ) ) ) )).
fof(d53_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( B = k39_modelc_2(A) <=> ! [C] : ! [D] : ( ( r2_tarski(C,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,C,D) = k38_modelc_2(A,C,D) ) ) ) ) )).
fof(d54_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) ) => k36_aofa_a00(A) = k1_funct_1(u2_msualg_1(A),k1_funct_1(u7_aofa_a00(A),12)) ) )).
fof(d54_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k60_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k35_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),k43_aofa_i00(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(d54_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k30_fomodel4(A) = k23_fomodel4(A,k16_fomodel4(A)) ) )).
fof(d54_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ( C = k44_modelc_1(A,B) <=> ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(A)) & r2_tarski(E,k30_modelc_1(A)) ) => k1_binop_1(C,D,E) = k43_modelc_1(A,B,D,E) ) ) ) ) ) )).
fof(d54_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( B = k40_modelc_2(A) <=> ! [C] : ! [D] : ( ( r2_tarski(C,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,C,D) = k1_funct_1(k31_modelc_2(A),k1_binop_1(k36_modelc_2(A),k1_funct_1(k31_modelc_2(A),C),k1_funct_1(k31_modelc_2(A),D))) ) ) ) ) )).
fof(d55_abcmiz_1,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v13_abcmiz_1(B,A) <=> r1_tarski(k8_relat_1(B,k1_tarski(k1_xboole_0)),k2_relset_1(u1_struct_0(A),u2_msualg_1(A))) ) ) ) )).
fof(d55_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msafree4(C,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) => ! [D] : ( ( v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => k37_aofa_a00(A,B,C,D) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),13),u4_struct_0(A)),B),k12_finseq_1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A)),C)) ) ) ) ) )).
fof(d55_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k31_fomodel4(A) = k23_fomodel4(A,k17_fomodel4(A)) ) )).
fof(d55_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( v13_glib_000(A) => ( B = k39_glib_000(A) <=> ( k1_funct_1(A,B) = k1_funct_1(A,k1_nat_1(B,1)) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(A,C) = k1_funct_1(A,k1_nat_1(C,1)) => r1_xxreal_0(B,C) ) ) ) ) ) & ( ~ v13_glib_000(A) => ( B = k39_glib_000(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d55_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ( D = k45_modelc_1(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,B) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & F = E & k1_funct_1(F,C) = k7_margrel1 ) ) ) ) ) ) ) )).
fof(d55_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( B = k41_modelc_2(A) <=> ! [C] : ! [D] : ( ( r2_tarski(C,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,C,D) = k1_funct_1(k31_modelc_2(A),k1_binop_1(k39_modelc_2(A),k1_funct_1(k31_modelc_2(A),C),k1_funct_1(k31_modelc_2(A),D))) ) ) ) ) )).
fof(d56_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))))) ) => ( m4_abcmiz_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_tarski(k7_relset_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),C,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D)),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D)) ) ) ) ) ) )).
fof(d56_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msafree4(C,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) => ! [D] : ( ( v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) => k38_aofa_a00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),11),u4_struct_0(A)),B),k2_finseq_4(k3_card_3(u3_msualg_1(A,B)),C,E)) ) ) ) ) ) )).
fof(d56_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k32_fomodel4(A) = k23_fomodel4(A,k18_fomodel4(A)) ) )).
fof(d56_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => k40_glib_000(A) = k1_funct_1(A,k39_glib_000(A)) ) )).
fof(d56_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B)))) ) => ( C = k46_modelc_1(A,B) <=> ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k45_modelc_1(A,B,D) ) ) ) ) ) )).
fof(d56_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))) ) => k42_modelc_2(A,B) = g1_modelc_2(k30_modelc_1(k25_modelc_2(A)),B,k36_modelc_2(A),k40_modelc_2(A),k31_modelc_2(A),k34_modelc_2(A),k39_modelc_2(A),k41_modelc_2(A)) ) ) )).
fof(d57_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msafree4(C,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) => ! [D] : ( ( v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) => k39_aofa_a00(A,B,C,D,E,F) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),12),u4_struct_0(A)),B),k3_finseq_4(k3_card_3(u3_msualg_1(A,B)),C,E,F)) ) ) ) ) ) ) )).
fof(d57_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k33_fomodel4(A) = k23_fomodel4(A,k19_fomodel4(A)) ) )).
fof(d57_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))) ) => ! [C] : ( m1_subset_1(C,k25_modelc_2(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k42_modelc_2(A,B))) => ( r6_modelc_2(A,B,C,D) <=> k3_funct_2(k25_modelc_2(A),k5_margrel1,k31_modelc_1(k25_modelc_2(A),D),C) = k7_margrel1 ) ) ) ) ) )).
fof(d58_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( v15_abcmiz_1(B,A) <=> ! [C] : ( m1_subset_1(C,k2_abcmiz_1) => ~ ( r2_tarski(C,k1_relset_1(k2_abcmiz_1,B)) & ! [D] : ( m1_subset_1(D,k2_abcmiz_1) => k1_funct_1(B,C) != k35_abcmiz_1(D,A) ) ) ) ) ) ) )).
fof(d58_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) => k40_aofa_a00(A,B,C,D,E) = k1_funct_1(k5_msualg_1(A,k10_subset_1(k1_funct_1(u7_aofa_a00(A),14),u4_struct_0(A)),B),k2_finseq_4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C),D,E)) ) ) ) ) ) )).
fof(d58_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k34_fomodel4(A) = k23_fomodel4(A,k20_fomodel4(A)) ) )).
fof(d58_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => k48_modelc_1(A,B,C) = g2_modelc_1(k30_modelc_1(A),C,k41_modelc_1(A),k33_modelc_1(A),k36_modelc_1(A,B),k39_modelc_1(A,B),k44_modelc_1(A,B)) ) ) ) )).
fof(d58_modelc_2,axiom,( k43_modelc_2 = k1_zfmisc_1(k15_modelc_2) )).
fof(d59_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) => k54_abcmiz_1(A,B) = a_2_7_abcmiz_1(A,B) ) ) )).
fof(d59_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_aofa_a00(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l5_aofa_a00(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,B) & l3_msualg_1(D,B) ) => k41_aofa_a00(A,B,C,D) = k3_circcomb(A,B,C,D) ) ) ) ) )).
fof(d59_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) => k65_aofa_i00(A,B,C,D,E) = k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,C,k36_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,k43_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,2))) ) ) ) ) ) )).
fof(d59_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k35_fomodel4(A) = k23_fomodel4(A,k21_fomodel4(A)) ) )).
fof(d59_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) => ( r3_modelc_1(A,B,C,D,E) <=> k3_funct_2(A,k5_margrel1,k31_modelc_1(A,E),D) = k7_margrel1 ) ) ) ) ) ) )).
fof(d59_modelc_2,axiom,( ! [A] : ! [B] : ( ( ( r2_hidden(B,k25_modelc_2(k43_modelc_2)) & r2_hidden(A,k8_nat_1(k43_modelc_2,k27_modelc_2(k43_modelc_2,B),k5_numbers)) ) => k44_modelc_2(A,B) = k7_margrel1 ) & ( ~ ( r2_hidden(B,k25_modelc_2(k43_modelc_2)) & r2_hidden(A,k8_nat_1(k43_modelc_2,k27_modelc_2(k43_modelc_2,B),k5_numbers)) ) => k44_modelc_2(A,B) = k6_margrel1 ) ) )).
fof(d5_abcmiz_0,axiom,( ! [A] : ( l1_abcmiz_0(A) => ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => k1_abcmiz_0(A,B) = k1_funct_1(u2_abcmiz_0(A),B) ) ) )).
fof(d5_abcmiz_1,axiom,( k7_abcmiz_1 = 1 )).
fof(d5_abcmiz_a,axiom,( k4_abcmiz_a = k39_abcmiz_1(k27_abcmiz_1) )).
fof(d5_abian,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_abian(A) <=> ? [B] : r1_abian(B,A) ) ) )).
fof(d5_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r5_absred_0(A,B,C) <=> ( r1_absred_0(A,B,C) | r1_absred_0(A,C,B) ) ) ) ) ) )).
fof(d5_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ( A = k7_aescip_1 <=> ! [B] : ( m2_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(4)) & ! [D] : ( m2_finseq_2(D,k4_finseq_2(8,k5_margrel1),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))) => ~ ( D = k1_funct_1(B,C) & k1_funct_1(k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),A,B),C) = k8_descip_1(k4_finseq_2(8,k5_margrel1),D,k6_xcmplx_0(C,1)) ) ) ) ) ) ) ) )).
fof(d5_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r3_aff_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & B = k2_aff_1(A,D,E) & D != E & r2_aff_1(A,D,E,C) ) ) ) ) ) ) )).
fof(d5_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v5_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_hidden(E,B) & r2_hidden(E,C) & r2_hidden(F,B) & r2_hidden(I,B) & r2_hidden(G,C) & r2_hidden(J,C) & r2_hidden(H,D) & r2_hidden(K,D) & v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_analoaf(A,F,G,I,J) & r2_analoaf(A,F,H,I,K) & r2_analoaf(A,G,H,J,K) ) => ( E = F | E = G | E = H | B = C | B = D | r1_aff_1(A,F,G,H) | H = K | r2_hidden(E,D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v5_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,C) & r2_hidden(H,C) & r2_hidden(I,D) & r2_hidden(J,D) & r5_aff_1(A,B,C) & r5_aff_1(A,B,D) & r1_aff_1(A,G,E,K) & r1_aff_1(A,H,F,K) & r1_aff_1(A,G,I,L) & r1_aff_1(A,H,J,L) & r2_analoaf(A,E,I,F,J) ) => ( B = C | B = D | C = D | r1_aff_1(A,G,E,I) | r1_aff_1(A,H,F,J) | K = L | E = F | r2_analoaf(A,E,I,K,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_aff_4(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(B,E) & r1_tarski(C,E) & r1_tarski(D,E) & v1_aff_4(E,A) ) ) ) ) ) ) )).
fof(d5_afinsq_1,axiom,( ! [A] : ! [B] : k6_afinsq_1(A,B) = k1_ordinal4(k5_afinsq_1(A),k5_afinsq_1(B)) )).
fof(d5_afinsq_2,axiom,( ! [A] : ! [B] : ( r1_afinsq_2(A,B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(C,A) & r2_tarski(D,B) & r1_xxreal_0(D,C) ) ) ) ) )).
fof(d5_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_afproj(A,B) = k6_eqrel_1(k1_afproj(A),k1_afproj(A),k3_afproj(A),B) ) ) )).
fof(d5_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E = k2_afvect0(A,B,C,D) <=> r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d5_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r5_alg_1(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & r4_alg_1(A,B,C) ) ) ) ) )).
fof(d5_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k2_algseq_1(A,B) <=> ( r1_xxreal_0(k1_algseq_1(A,C),1) & k3_funct_2(k4_ordinal1,u1_struct_0(A),C,k5_numbers) = B ) ) ) ) ) )).
fof(d5_algspec1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ( m2_algspec1(B,A) <=> m1_instalg1(A,B) ) ) ) )).
fof(d5_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v4_algstr_1(A) <=> ( v5_algstr_0(A) & v6_algstr_0(A) & v2_algstr_1(A) & v3_algstr_1(A) ) ) ) )).
fof(d5_algstr_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_algstr_3(A) ) => ( v2_algstr_3(A) <=> ( k4_struct_0(A) != k5_struct_0(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_3(A,B,k5_struct_0(A),k4_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_3(A,k5_struct_0(A),B,k4_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_3(A,B,k4_struct_0(A),C) = C ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_3(A,k4_struct_0(A),B,C) = C ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k1_algstr_3(A,B,C,E) = D ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k1_algstr_3(A,B,C,D) = k1_algstr_3(A,B,C,E) => D = E ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != C => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & k1_algstr_3(A,F,B,G) = D & k1_algstr_3(A,F,C,G) = E ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != C => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k1_algstr_3(A,B,F,D) = k1_algstr_3(A,C,F,E) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( k1_algstr_3(A,D,B,F) = k1_algstr_3(A,E,B,G) & k1_algstr_3(A,D,C,F) = k1_algstr_3(A,E,C,G) & B != C & D != E ) ) ) ) ) ) ) ) ) ) )).
fof(d5_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k4_algstr_4(A,B) = g3_algstr_0(k8_eqrel_1(u1_struct_0(A),B),k3_algstr_4(A,B)) ) ) )).
fof(d5_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ! [C] : ( m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) => ( v3_altcat_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ! [I] : ! [J] : ( ( r2_tarski(H,k1_binop_1(B,D,E)) & r2_tarski(I,k1_binop_1(B,E,F)) & r2_tarski(J,k1_binop_1(B,F,G)) ) => k1_binop_1(k4_altcat_1(A,B,C,D,F,G),J,k1_binop_1(k4_altcat_1(A,B,C,D,E,F),I,H)) = k1_binop_1(k4_altcat_1(A,B,C,D,E,G),k1_binop_1(k4_altcat_1(A,B,C,E,F,G),J,I),H) ) ) ) ) ) ) ) ) ) )).
fof(d5_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k4_altcat_2(A) = g2_altcat_1(u1_struct_0(A),k2_altcat_2(A),k3_altcat_2(A)) ) )).
fof(d5_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( v3_altcat_3(D,A,B,C) <=> ( k5_altcat_1(A,C,B,C,k1_altcat_3(A,B,C,D),D) = k8_altcat_1(A,C) & k5_altcat_1(A,B,C,B,D,k1_altcat_3(A,B,C,D)) = k8_altcat_1(A,B) ) ) ) ) ) ) )).
fof(d5_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & m1_altcat_2(B,A) ) => ( B = k5_altcat_4(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,D)) => ( r2_tarski(E,k1_binop_1(u1_altcat_1(B),C,D)) <=> ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & v3_altcat_3(E,A,C,D) ) ) ) ) ) ) ) ) ) )).
fof(d5_altcat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_altcat_5(E,A,D,B,C) => ( v2_altcat_5(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,B) => r2_tarski(k1_altcat_5(A,D,B,C,E,F),k1_altcat_1(A,D,k3_funct_2(B,u1_struct_0(A),C,F))) ) ) ) ) ) ) ) )).
fof(d5_altcat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_altcat_6(E,A,D,B,C) => ( v2_altcat_6(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_altcat_6(G,A,F,B,C) => ~ ( v1_altcat_6(G,A,B,C,F) & ! [H] : ( m1_subset_1(H,k1_altcat_1(A,D,F)) => ~ ( r2_tarski(H,k1_altcat_1(A,D,F)) & ! [I] : ~ ( r2_tarski(I,B) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,k1_altcat_1(A,J,D)) => ~ ( J = k1_funct_1(C,I) & K = k1_funct_1(E,I) & k1_funct_1(G,I) = k5_altcat_1(A,J,D,F,K,H) ) ) ) ) & ! [I] : ( m1_subset_1(I,k1_altcat_1(A,D,F)) => ( ! [J] : ~ ( r2_tarski(J,B) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,k1_altcat_1(A,K,D)) => ~ ( K = k1_funct_1(C,J) & L = k1_funct_1(E,J) & k1_funct_1(G,J) = k5_altcat_1(A,K,D,F,L,I) ) ) ) ) => H = I ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_ami_2,axiom,( k4_ami_2 = k6_afinsq_1(k4_ordinal1,k4_numbers) )).
fof(d5_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k4_ami_3(A,B) = k3_xtuple_0(3,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d5_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( D = k2_ami_wstd(A,B,C) <=> k1_ami_wstd(A,B,D) = C ) ) ) ) ) )).
fof(d5_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => k3_amistd_1(A,B,C) = k3_tarski(a_3_1_amistd_1(A,B,C)) ) ) ) )).
fof(d5_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( D = k4_amistd_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,D) <=> ~ ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => ! [G] : ( m1_subset_1(G,k4_memstr_0(A,B,E)) => k2_extpro_1(A,B,C,k1_amistd_4(A,B,F,E,G)) = k1_amistd_4(A,B,k2_extpro_1(A,B,C,F),E,G) ) ) ) ) ) ) ) ) ) )).
fof(d5_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) ) => ( v5_amistd_5(B,A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & ~ v2_compos_1(D,B) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & ~ v1_xboole_0(E) & v1_finset_1(E) & v4_extpro_1(E,A,B,D) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(B)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(A,B)) & v1_partfun1(G,u1_struct_0(B)) ) => ( ( r1_tarski(E,F) & r1_tarski(k9_memstr_0(A,B,E,C),G) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(B)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(B)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( r1_tarski(D,H) & r1_tarski(k6_compos_1(B,D,C),I) ) => ! [J] : ( v7_ordinal1(J) => k8_compos_0(u1_compos_1(B),k3_extpro_1(A,B,H,k5_extpro_1(A,B,H,F,J)),C) = k3_extpro_1(A,B,I,k5_extpro_1(A,B,I,G,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_analmetr,axiom,( ! [A] : ( l1_analmetr(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r4_analmetr(A,B,C,D,E) <=> r2_hidden(k4_tarski(k4_tarski(B,C),k4_tarski(D,E)),u1_analmetr(A)) ) ) ) ) ) ) )).
fof(d5_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v2_analoaf(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,D) & ( r2_analoaf(A,B,C,C,B) => B = C ) & ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,C,H,I) ) => ( B = C | r2_analoaf(A,F,G,H,I) ) ) & ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,C,B,E,D) ) & ( r2_analoaf(A,B,C,C,D) => r2_analoaf(A,B,C,B,D) ) & ~ ( r2_analoaf(A,B,C,B,D) & ~ r2_analoaf(A,B,C,C,D) & ~ r2_analoaf(A,B,D,D,C) ) ) ) ) ) ) ) ) ) ) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ~ r2_analoaf(A,B,C,D,E) & ~ r2_analoaf(A,B,C,E,D) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) & C != E ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != D & r2_analoaf(A,D,B,B,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_analoaf(A,C,B,B,F) & r2_analoaf(A,C,D,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) => ( D = k3_analort(A,B,C) <=> ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & E = k4_tarski(G,H) & F = k4_tarski(I,J) & r1_analort(A,B,C,G,H,I,J) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( B = k3_anproj_1(A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k8_struct_0(A)))) & C = k8_eqrel_1(k8_struct_0(A),k1_anproj_1(A)) & B = C ) ) ) )).
fof(d5_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r5_anproj_2(A,B,C,D,E,F,G,H) <=> ( ~ r1_anproj_1(A,B,D) & ~ r1_anproj_1(A,B,E) & ~ r1_anproj_1(A,B,G) & ~ r1_anproj_1(A,B,H) & ~ r1_anproj_1(A,C,D) & ~ r1_anproj_1(A,C,E) & ~ r1_anproj_1(A,F,G) & ~ r1_anproj_1(A,F,H) & ~ r1_anproj_1(A,D,E) & ~ r1_anproj_1(A,G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : k5_aofa_000(A,B) = a_2_0_aofa_000(A,B) ) )).
fof(d5_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k8_aofa_a00(A,B,C,D,E,F,G,H) = k7_finseq_1(k8_finseq_4(A,B,C,D,E),k11_finseq_1(F,G,H)) )).
fof(d5_aofa_l00,axiom,( ! [A] : ! [B] : ( l2_aofa_l00(B,A) => ( v7_aofa_l00(B,A) <=> ( u2_aofa_l00(A,B) = k2_tarski(1,2) & v2_funct_1(u3_aofa_l00(A,B)) & r1_xboole_0(k2_relset_1(u4_struct_0(B),u3_aofa_l00(A,B)),k2_relset_1(u4_struct_0(B),u7_aofa_a00(B))) & ! [C] : ! [D] : ( ( r2_hidden(C,u2_aofa_l00(A,B)) & r2_hidden(D,A) ) => r1_aofa_a00(B,k1_binop_1(u3_aofa_l00(A,B),C,D),k9_finseq_1(u1_aofa_l00(B)),u1_aofa_l00(B)) ) ) ) ) )).
fof(d5_armstrng,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k5_margrel1) ) => ( D = k3_armstrng(A,B,C) <=> ! [E] : ( r2_tarski(E,k2_finseq_1(A)) => k1_funct_1(D,E) = k9_margrel1(k7_partfun1(k5_margrel1,B,E),k7_partfun1(k5_margrel1,C,E)) ) ) ) ) ) ) )).
fof(d5_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( ( B = k5_numbers => k5_arytm_0(A,B) = A ) & ( B != k5_numbers => k5_arytm_0(A,B) = k5_funct_4(k1_numbers,k5_numbers,1,A,B) ) ) ) ) )).
fof(d5_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( ( ( r2_tarski(A,k5_arytm_3) & r2_tarski(B,k5_arytm_3) ) => ( r1_arytm_2(A,B) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & ? [D] : ( m1_subset_1(D,k5_arytm_3) & A = C & B = D & r3_arytm_3(C,D) ) ) ) ) & ( r2_tarski(A,k5_arytm_3) => ( r2_tarski(B,k5_arytm_3) | ( r1_arytm_2(A,B) <=> r2_tarski(A,B) ) ) ) & ( r2_tarski(B,k5_arytm_3) => ( r2_tarski(A,k5_arytm_3) | ( r1_arytm_2(A,B) <=> ~ r2_tarski(B,A) ) ) ) & ~ ( ~ ( r2_tarski(A,k5_arytm_3) & r2_tarski(B,k5_arytm_3) ) & ~ ( r2_tarski(A,k5_arytm_3) & ~ r2_tarski(B,k5_arytm_3) ) & ~ ( ~ r2_tarski(A,k5_arytm_3) & r2_tarski(B,k5_arytm_3) ) & ~ ( r1_arytm_2(A,B) <=> r1_tarski(A,B) ) ) ) ) ) )).
fof(d5_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k3_arytm_3(A,B) <=> ( r2_arytm_3(C,A) & r2_arytm_3(C,B) & ! [D] : ( ( v3_ordinal1(D) & v7_ordinal1(D) ) => ( ( r2_arytm_3(D,A) & r2_arytm_3(D,B) ) => r2_arytm_3(D,C) ) ) ) ) ) ) ) )).
fof(d5_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k4_asympt_1(A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(k1_numbers,B,C) = k7_newton(k1_nat_1(C,A)) ) ) ) ) )).
fof(d5_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_autalg_1(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)))) ) => ( C = k5_autalg_1(A,B) <=> ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( r2_tarski(D,C) <=> r4_msualg_3(A,B,B,D) ) ) ) ) ) ) )).
fof(d5_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & v1_group_3(B,k3_autgroup(A)) & m1_group_2(B,k3_autgroup(A)) ) => ( B = k5_autgroup(A) <=> u1_struct_0(B) = k4_autgroup(A) ) ) ) )).
fof(d5_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( v2_bagorder(B,A) <=> ( r7_relat_2(B,k15_pre_poly(A)) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => r2_hidden(k4_tarski(k16_pre_poly(A),C),B) ) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_hidden(k4_tarski(C,D),B) => r2_hidden(k4_tarski(k11_pre_poly(A,C,E),k11_pre_poly(A,D,E)),B) ) ) ) ) ) ) ) ) )).
fof(d5_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v5_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_bcialg_1(A,B,B) = k4_struct_0(A) ) ) ) )).
fof(d5_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_bcialg_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_bcialg_1(A,C,B) ) ) ) ) )).
fof(d5_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v5_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),k1_bcialg_1(A,k4_struct_0(A),k1_bcialg_1(A,B,C))) = k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)) ) ) ) ) )).
fof(d5_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k3_bcialg_5(A,B,C,D) = k4_xxreal_0(k4_xxreal_0(A,B),k4_xxreal_0(C,D)) ) ) ) ) )).
fof(d5_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_bcialg_6(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k3_bcialg_6(A,B) <=> ( r2_tarski(k2_bcialg_6(A,B,C),k4_bcialg_1(A)) & C != k5_numbers & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(k2_bcialg_6(A,B,D),k4_bcialg_1(A)) => ( D = k5_numbers | r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) ) )).
fof(d5_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m2_bciideal(B,A) <=> ( r2_tarski(k4_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,C,E),k1_bcialg_1(A,D,E)),B) & r2_tarski(D,B) ) => r2_tarski(C,B) ) ) ) ) ) ) ) ) )).
fof(d5_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_bhsp_1(A,B,C) = k3_bhsp_1(A,k5_algstr_0(A,B,C)) ) ) ) )).
fof(d5_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k4_bhsp_2(A,B,C) = a_3_0_bhsp_2(A,B,C) ) ) ) )).
fof(d5_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k4_bhsp_4(A,B,C,D) = k5_algstr_0(A,k3_bhsp_4(A,B,C),k3_bhsp_4(A,B,D)) ) ) ) ) )).
fof(d5_bhsp_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_binop_1(C,A) & v2_binop_1(C,A) & v1_setwiseo(C,A) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( r1_tarski(D,k9_xtuple_0(E)) => ! [F] : ( m1_subset_1(F,A) => ( F = k5_bhsp_5(A,B,C,D,E) <=> ? [G] : ( m2_finseq_1(G,B) & v2_funct_1(G) & k10_xtuple_0(G) = D & F = k1_finsop_1(A,k4_bhsp_5(A,B,E,G),C) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v6_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => k4_bilinear(A,B,C,D) = k3_bilinear(A,B,C,D,k4_algstr_0(A,k5_struct_0(A))) ) ) ) ) )).
fof(d5_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => k5_binari_2(A,B,C) = k9_margrel1(k9_margrel1(k7_partfun1(k5_margrel1,B,A),k7_partfun1(k5_margrel1,C,A)),k8_margrel1(k7_partfun1(k5_margrel1,k4_binarith(A,B,C),A))) ) ) ) )).
fof(d5_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k5_margrel1) ) => ( D = k7_binarith(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,D,E) = k2_binarith(k2_binarith(k7_partfun1(k5_margrel1,B,E),k7_partfun1(k5_margrel1,C,E)),k7_partfun1(k5_margrel1,k4_binarith(A,B,C),E)) ) ) ) ) ) ) ) )).
fof(d5_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k5_binom(A,B,C) = k10_nat_1(u1_struct_0(A),k3_binom(A),C,B) ) ) ) )).
fof(d5_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r1_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => k1_binop_1(C,B,D) = D ) ) ) )).
fof(d5_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers))) ) => ( A = k5_binop_2 <=> ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k1_binop_1(A,B,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(d5_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ! [D] : ( m2_funct_2(D,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ( ( C = k1_xboole_0 => ( D = k3_boolmark(A,B,C) <=> r2_funct_2(u1_struct_0(A),k5_margrel1,D,B) ) ) & ( C != k1_xboole_0 => ( D = k3_boolmark(A,B,C) <=> ? [E] : ( m2_finseq_1(E,k1_boolmark(A)) & k3_finseq_1(C) = k3_finseq_1(E) & D = k7_partfun1(k1_boolmark(A),E,k3_finseq_1(E)) & k7_partfun1(k1_boolmark(A),E,1) = k2_boolmark(A,B,k7_partfun1(u4_struct_0(A),C,1)) & ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),F) & ~ r1_xxreal_0(F,k5_numbers) & k7_partfun1(k1_boolmark(A),E,k1_nat_1(F,1)) != k2_boolmark(A,k7_partfun1(k1_boolmark(A),E,F),k7_partfun1(u4_struct_0(A),C,k1_nat_1(F,1))) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => k9_borsuk_1(A,B) = k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B))) ) ) )).
fof(d5_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,C,D) => ( ( r2_borsuk_2(A,B,C) & r2_borsuk_2(A,C,D) ) => ! [G] : ( m1_borsuk_2(G,A,B,D) => ( G = k1_borsuk_2(A,B,C,D,E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ( ( r1_xxreal_0(H,k7_xcmplx_0(1,2)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),G,H) = k1_funct_1(E,k3_xcmplx_0(2,H)) ) & ( r1_xxreal_0(k7_xcmplx_0(1,2),H) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),G,H) = k1_funct_1(F,k6_xcmplx_0(k3_xcmplx_0(2,H),1)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_borsuk_6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) ) => ( A = k3_borsuk_6 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ( ( r1_xxreal_0(B,k7_xcmplx_0(1,2)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) = k3_xcmplx_0(2,B) ) & ( ~ r1_xxreal_0(B,k7_xcmplx_0(1,2)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) = 1 ) ) ) ) ) )).
fof(d5_borsuk_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,B,C))))) ) => ( D = k10_borsuk_7(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k8_toprealb(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( E = F => k3_funct_2(u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,B,C)),D,E) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),F,C),B) ) ) ) ) ) ) ) ) )).
fof(d5_brouwer,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_xreal_0(B) & ~ v3_xxreal_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k2_brouwer(A,C,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k2_brouwer(A,C,B))))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k7_toprealb(A,C,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k7_toprealb(A,C,B))))) ) => ( E = k5_brouwer(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k2_brouwer(A,C,B))) => k3_funct_2(u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k7_toprealb(A,C,B)),E,F) = k4_brouwer(A,C,B,F,D) ) ) ) ) ) ) ) )).
fof(d5_bspace,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)),k1_zfmisc_1(A)))) ) => ( B = k5_bspace(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k4_binop_1(k1_zfmisc_1(A),B,C,D) = k5_subset_1(A,C,D) ) ) ) ) )).
fof(d5_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k6_bvfunc_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k5_margrel1,D,E) = k10_xboolean(k3_funct_2(A,k5_margrel1,B,E),k3_funct_2(A,k5_margrel1,C,E)) ) ) ) ) ) ) )).
fof(d5_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ( v2_bvfunc_2(B,A) <=> ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ~ ( k9_xtuple_0(C) = B & k10_xtuple_0(C) = D & ! [E] : ( r2_tarski(E,B) => r2_tarski(k1_funct_1(C,E),E) ) & k8_setfam_1(A,D) = k1_xboole_0 ) ) ) ) ) ) )).
fof(d5_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_ideal_1(B,A) => ( v1_xboole_0(B) | k1_c0sp1(A,B) = k1_realset1(u1_algstr_0(A),B) ) ) ) ) )).
fof(d5_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k5_c0sp2(A) = g1_lopban_2(k2_c0sp2(A),k2_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k1_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k5_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k4_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k3_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),k4_c0sp2(A)) ) )).
fof(d5_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ( C = k3_calcul_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v7_ordinal1(E) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & r2_tarski(E,k1_relset_1(k4_ordinal1,B)) & F = k1_funct_1(B,E) & r2_hidden(D,k24_qc_lang1(A,F)) ) ) ) ) ) ) ) )).
fof(d5_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k3_card_1(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_card_1(k4_ordinal1) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k2_card_1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k1_card_1(k4_ordinal2(k5_relat_1(C,D))) ) ) ) ) ) ) )).
fof(d5_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k4_card_3(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & C = D & k9_xtuple_0(D) = k9_xtuple_0(A) & ! [E] : ( r2_hidden(E,k9_xtuple_0(A)) => r2_tarski(k1_funct_1(D,E),k1_funct_1(A,E)) ) ) ) ) ) )).
fof(d5_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_card_fil(B,A) => ( v1_card_fil(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) => k1_card_1(C) = k1_card_1(A) ) ) ) ) ) )).
fof(d5_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v2_card_lar(B,A) <=> ! [C] : ( ( v3_ordinal1(C) & v4_ordinal1(C) & ~ v1_finset_1(C) ) => ( ( r2_tarski(C,A) & k3_ordinal2(k8_subset_1(A,B,C)) = C ) => r2_tarski(C,B) ) ) ) ) ) )).
fof(d5_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( m1_cat_1(D,A,B,C) <=> r2_tarski(D,k2_cat_1(A,B,C)) ) ) ) ) ) ) )).
fof(d5_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => k5_cat_2(A,B) = k10_cat_1(B) ) ) )).
fof(d5_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,u4_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( E = k6_cat_3(A,B,C,D) <=> ! [F] : ( r2_tarski(F,B) => k7_partfun1(u4_struct_0(A),E,F) = k1_cat_1(A,D,k7_partfun1(u4_struct_0(A),C,F)) ) ) ) ) ) ) )).
fof(d5_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_cat_4(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u3_cat_4(A),B,C) ) ) ) )).
fof(d5_cat_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_cat_5(A) <=> ! [B] : ( m1_subset_1(B,A) => ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) ) ) ) )).
fof(d5_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( v3_cat_6(B,A) <=> ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ( r1_cat_6(A,C,B) => k2_cat_6(A,C,B) = C ) ) ) ) ) )).
fof(d5_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_cat_7(D,A,B,C) => ( v1_cat_7(D,A,B,C) <=> ( k1_cat_7(A,B,C) != k1_xboole_0 & ! [E] : ( m1_subset_1(E,k6_cat_6(A)) => ( k1_cat_7(A,E,B) != k1_xboole_0 => ! [F] : ( m1_cat_7(F,A,E,B) => ! [G] : ( m1_cat_7(G,A,E,B) => ( k4_cat_7(A,E,B,C,F,D) = k4_cat_7(A,E,B,C,G,D) => F = G ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_catalg_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ( m1_catalg_1(B,A) <=> ( m1_instalg1(k2_catalg_1(A),B) & u1_struct_0(B) = k2_zfmisc_1(k1_tarski(k5_numbers),k4_finseq_2(2,A)) ) ) ) )).
fof(d5_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k4_cc0sp2(A) = k2_partfun1(k2_cc0sp1(u1_struct_0(A)),k1_numbers,k6_cc0sp1(u1_struct_0(A)),k2_cc0sp2(A)) ) )).
fof(d5_cfdiff_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_numbers)) => ( m1_cfdiff_1(B,A) <=> ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & r1_tarski(a_2_0_cfdiff_1(A,C),B) ) ) ) ) )).
fof(d5_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k5_cfuncdom(A) = k8_funcop_1(k2_numbers,A,k6_complex1) ) )).
fof(d5_cgames_1,axiom,( k5_cgames_1 = g1_cgames_1(k1_tarski(k3_cgames_1),k1_tarski(k3_cgames_1)) )).
fof(d5_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => ( m2_chain_1(B,A) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k4_tarski(C,D) & r2_hidden(C,A) & r2_hidden(D,A) & ( ( ~ r1_xxreal_0(D,C) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,A) & ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(D,E) ) ) ) | ( ~ r1_xxreal_0(C,D) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => ( r1_xxreal_0(E,C) & r1_xxreal_0(D,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ( m1_glib_000(C,A) => ( m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) => ( m1_chord(C,A,B) <=> m2_glib_000(C,A,k2_chord(A,B),k21_glib_000(A,k2_chord(A,B))) ) ) ) ) )).
fof(d5_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ( v1_circcmb3(C,A,B) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k2_circcmb3(A,B,C) <=> ( v1_circuit2(k5_facirc_1(A,B,C,D),A,B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( ~ r1_xxreal_0(D,E) & v1_circuit2(k5_facirc_1(A,B,C,E),A,B) ) ) ) ) ) ) ) ) ) )).
fof(d5_circcomb,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ! [D] : ( ( ~ v11_struct_0(D) & v1_msualg_1(D) & l1_msualg_1(D) ) => ( D = k4_circcomb(A,B,C) <=> ( u1_struct_0(D) = k2_xboole_0(k10_xtuple_0(B),k1_tarski(C)) & u4_struct_0(D) = k1_tarski(k4_tarski(B,A)) & k1_funct_1(u1_msualg_1(D),k4_tarski(B,A)) = B & k1_funct_1(u2_msualg_1(D),k4_tarski(B,A)) = C ) ) ) ) )).
fof(d5_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u4_struct_0(k1_circtrm1(A,B,C)),k3_relat_1(u1_msualg_1(k1_circtrm1(A,B,C)),k6_finseq_2(u1_struct_0(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))),k3_relat_1(u2_msualg_1(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))) => ( E = k5_circtrm1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u4_struct_0(k1_circtrm1(A,B,C))) => ( r2_tarski(F,u4_struct_0(k1_circtrm1(A,B,C))) => k1_funct_1(E,F) = k3_circtrm1(A,B,C,F,D) ) ) ) ) ) ) ) ) )).
fof(d5_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k5_circuit1(A,B,C,D) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,k11_msafree(A,u3_msualg_1(A,B))),C)) & D = F & E = k8_msafree2(A,u3_msualg_1(A,B),C,F) ) ) ) ) ) ) ) )).
fof(d5_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ( D = k6_circuit2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(E,k2_msafree2(A)) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ( r2_tarski(E,k3_msafree2(A)) => k1_funct_1(D,E) = k3_funct_2(k3_msualg_1(A,k4_msafree2(A,E),B),k4_msualg_1(A,k4_msafree2(A,E),B),k5_msualg_1(A,k4_msafree2(A,E),B),k3_circuit1(A,B,C,k4_msafree2(A,E))) ) ) ) ) ) ) ) ) )).
fof(d5_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k2_classes1(A,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = k1_tarski(A) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k2_xboole_0(k2_xboole_0(a_3_0_classes1(A,D,E),a_3_1_classes1(A,D,E)),k8_subset_1(k1_zfmisc_1(k1_funct_1(D,E)),k9_setfam_1(k1_funct_1(D,E)),k1_classes1(A))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_xboole_0(k3_tarski(k10_xtuple_0(k5_relat_1(D,E))),k1_classes1(A)) ) ) ) ) ) ) )).
fof(d5_classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k16_classes2(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_numbers) = k13_classes2 & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k1_classes1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_numbers | k1_funct_1(C,D) = k15_classes2(k3_card_3(k5_relat_1(C,D))) ) ) ) ) ) ) )).
fof(d5_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => k6_clopban1(A,B) = g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))) ) ) )).
fof(d5_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k6_clopban2(A) = k6_partfun1(u1_struct_0(A)) ) )).
fof(d5_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( E = k5_clopban4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,D) => k1_normsp_0(A,E,F) = k6_algstr_0(A,k1_normsp_0(A,k1_clopban4(A,B),F),k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,C)),D),k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,C)),k7_nat_d(D,F)))) ) & ( ~ r1_xxreal_0(F,D) => k1_normsp_0(A,E,F) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(d5_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v2_closure2(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => ( r1_tarski(D,C) => r2_tarski(k2_mboolean(A,k5_closure2(A,B,D)),C) ) ) ) ) ) )).
fof(d5_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( v5_clvect_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_clvect_1(A,B,k6_complex1) = B ) ) ) )).
fof(d5_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k4_clvect_2(A,B,C) = a_3_0_clvect_2(A,B,C) ) ) ) )).
fof(d5_coh_sp,axiom,( ! [A] : k4_coh_sp(A) = k3_tarski(a_1_1_coh_sp(A)) )).
fof(d5_cohsp_1,axiom,( ! [A] : ( v2_cohsp_1(A) <=> ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ? [C] : ( ! [D] : ( r2_tarski(D,B) => r1_tarski(C,D) ) & r2_tarski(C,A) ) ) ) )).
fof(d5_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_collsp(A,B,C) = a_3_0_collsp(A,B,C) ) ) ) )).
fof(d5_compl_sp,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v4_compl_sp(B,A) <=> ! [C] : ( v7_ordinal1(C) => v3_pre_topc(k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(d5_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) ) => ( v2_compos_0(A) <=> ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( k5_compos_0(A,B) = k5_compos_0(A,C) => k4_finseq_1(k2_compos_0(B)) = k4_finseq_1(k2_compos_0(C)) ) ) ) ) ) )).
fof(d5_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_compos_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_compos_1(A)) => ( r2_tarski(C,k10_xtuple_0(B)) => r1_tarski(k10_xtuple_0(k2_compos_0(C)),k9_xtuple_0(B)) ) ) ) ) ) )).
fof(d5_compts_1,axiom,( ! [A] : k1_compts_1(A) = g1_pre_topc(A,k2_subset_1(k9_setfam_1(A))) )).
fof(d5_comput_1,axiom,( ! [A] : k2_comput_1(A) = a_1_2_comput_1(A) )).
fof(d5_comseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_valued_0(A) ) => ( v2_comseq_2(A) <=> ? [B] : ( v1_xcmplx_0(B) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),B))) ) ) ) ) ) ) ) )).
fof(d5_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k7_comseq_3(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k3_complex1(k8_nat_1(k2_numbers,A,C)) ) ) ) ) )).
fof(d5_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v5_conaffm(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r4_analmetr(A,B,G,B,H) & r4_analmetr(A,B,C,B,D) & r4_analmetr(A,B,E,B,F) & r5_analmetr(A,B,C,E) & r5_analmetr(A,B,D,F) & r4_analmetr(A,C,G,D,H) & r4_analmetr(A,E,G,F,H) ) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = E | r5_analmetr(A,B,G,C) | r2_analoaf(A,C,D,E,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k3_conlat_1(A) = k1_conlat_1(A) ) )).
fof(d5_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u4_struct_0(A),u1_struct_0(k11_conlat_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u1_struct_0(k11_conlat_1(A))))) ) => ( B = k5_conlat_2(A) <=> ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u4_struct_0(A))) & k3_funct_2(u4_struct_0(A),u1_struct_0(k11_conlat_1(A)),B,C) = g2_conlat_1(A,D,E) & D = k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k6_domain_1(u4_struct_0(A),C)) & E = k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k6_domain_1(u4_struct_0(A),C))) ) ) ) ) ) ) )).
fof(d5_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v5_conmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r5_analmetr(A,B,C,D) & r5_analmetr(A,B,E,F) & r5_analmetr(A,B,G,H) & r2_analoaf(A,C,E,D,F) & r2_analoaf(A,C,E,B,G) & r2_analoaf(A,E,G,F,H) ) => ( B = C | B = D | B = E | B = F | B = G | B = H | r5_analmetr(A,E,F,C) | r5_analmetr(A,E,F,G) | r2_analoaf(A,C,G,D,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_connsp_1(B,A) <=> ( v2_connsp_1(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(C,A) & r1_tarski(B,C) ) => B = C ) ) ) ) ) ) )).
fof(d5_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_connsp_2(A,B,C) <=> ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( B = D & ! [E] : ( m1_subset_1(E,u1_struct_0(k1_pre_topc(A,D))) => ~ ( E = C & r1_connsp_2(k1_pre_topc(A,D),E) ) ) ) ) ) ) ) ) )).
fof(d5_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_connsp_3(A,B,C) = k9_subset_1(u1_struct_0(A),B,C) ) ) ) )).
fof(d5_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_convex1(A,B) = k6_setfam_1(u1_struct_0(A),k2_convex1(A,B)) ) ) )).
fof(d5_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k3_convex4(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_clvect_1(A,k7_partfun1(u1_struct_0(A),B,E),k3_funct_2(u1_struct_0(A),k2_numbers,C,k7_partfun1(u1_struct_0(A),B,E))) ) ) ) ) ) ) ) ) )).
fof(d5_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_numbers))) ) => k5_convfun1(A,B) = a_2_0_convfun1(A,B) ) ) )).
fof(d5_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m2_funct_2(E,k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) => ( E = k6_cqc_sim1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_qc_lang1(A)) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => k2_binop_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k3_cqc_lang(A),E,F,G) = k4_cqc_lang(B,A,C,k5_cqc_sim1(A,B,D,G)) ) ) ) ) ) ) ) ) )).
fof(d5_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) => ( r2_cqc_the1(A,B,C) <=> ( C != k1_xboole_0 & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r1_cqc_the1(A,C,D,B) ) ) ) ) ) ) ) )).
fof(d5_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r5_cqc_the3(A,B,C) <=> ( r1_cqc_the3(A,B,C) & r1_cqc_the3(A,C,B) ) ) ) ) ) )).
fof(d5_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_clopban1(A,B)))) => ( C = k4_csspace4(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & v1_csspace4(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(d5_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k2_dblseq_1(A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(k1_numbers,B,C) = k1_seq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,C)) ) ) ) ) )).
fof(d5_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => k4_dblseq_2(A) = k2_dblseq_2(k3_dblseq_2(A)) ) )).
fof(d5_descip_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k5_card_1(A),k2_finseq_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k2_finseq_1(A)))) ) => ( v1_descip_1(B,A) <=> ! [C] : ( m2_subset_1(C,k4_ordinal1,k5_card_1(A)) => k3_funct_2(k5_card_1(A),k2_finseq_1(A),B,C) = k15_descip_1(A,C) ) ) ) ) )).
fof(d5_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),k1_dickson(A)),k8_eqrel_1(u1_struct_0(A),k1_dickson(A))))) => ( B = k2_dickson(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & C = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_dickson(A),E) & D = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_dickson(A),F) & r1_orders_2(A,E,F) ) ) ) ) ) ) )).
fof(d5_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => k5_diff_1(A,B) = k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_diff_1(A,k7_xcmplx_0(B,2)),k1_diff_1(A,k4_xcmplx_0(k7_xcmplx_0(B,2)))) ) ) )).
fof(d5_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_diraf(A,B,C,D) <=> r2_diraf(A,B,C,B,D) ) ) ) ) ) )).
fof(d5_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => k5_dist_1(A,B) = a_2_0_dist_1(A,B) ) ) )).
fof(d5_dist_2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k4_finseq_1(B))) => k5_dist_2(A,B,C) = k1_partfun1(k4_ordinal1,C,k4_ordinal1,A,k19_finseq_1(C),B) ) ) )).
fof(d5_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ( v3_dtconstr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( r2_tarski(B,k2_lang1(A)) & ! [C] : ( m1_trees_4(C,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ~ r1_lang1(A,B,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),C)) ) ) ) ) ) )).
fof(d5_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v1_rlvect_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( B = k5_dualsp01(A) <=> ? [C] : ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,k2_vectsp_1) & v9_vectsp_1(C,k2_vectsp_1) & v10_vectsp_1(C,k2_vectsp_1) & v11_vectsp_1(C,k2_vectsp_1) & l1_vectsp_1(C,k2_vectsp_1) & C = k2_dualsp01(A) & B = k4_dualsp01(k8_hahnban1(k2_vectsp_1,C)) ) ) ) ) )).
fof(d5_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( m1_dynkin(B,A) <=> ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( r1_tarski(k10_xtuple_0(C),B) & v1_prob_2(C) ) => r2_tarski(k1_prob_1(A,C),B) ) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) => r2_tarski(k3_subset_1(A,C),B) ) ) & r2_tarski(k1_xboole_0,B) ) ) ) ) )).
fof(d5_e_siec,axiom,( ! [A] : k3_e_siec(A) = g1_e_siec(A,k1_xboole_0,k1_xboole_0) )).
fof(d5_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ( ( B = k5_numbers => k2_ec_pf_1(A,B) = k5_numbers ) & ( v2_ec_pf_1(B,A) => k2_ec_pf_1(A,B) = 1 ) & ~ ( B != k5_numbers & ~ v2_ec_pf_1(B,A) & k2_ec_pf_1(A,B) != k4_xcmplx_0(1) ) ) ) ) )).
fof(d5_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ! [D] : ( m2_subset_1(D,k3_ec_pf_1(k9_int_3(A)),k6_ec_pf_1(A,B,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(A))) => ( E = k6_ec_pf_2(A,B,C,D) <=> ! [F] : ! [G] : ! [H] : ( D = k3_xtuple_0(F,G,H) => E = H ) ) ) ) ) ) ) )).
fof(d5_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_endalg(A,B),k4_endalg(A,B)),k4_endalg(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_endalg(A,B),k4_endalg(A,B)),k4_endalg(A,B)))) ) => ( C = k5_endalg(A,B) <=> ! [D] : ( m1_autalg_1(D,u1_struct_0(A),u3_msualg_1(A,B),k4_endalg(A,B)) => ! [E] : ( m1_autalg_1(E,u1_struct_0(A),u3_msualg_1(A,B),k4_endalg(A,B)) => k4_binop_1(k4_endalg(A,B),C,D,E) = k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E) ) ) ) ) ) ) )).
fof(d5_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => k5_ens_1(A,B) = k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,B)),k1_domain_1(A,A,B,B),k6_partfun1(B)) ) ) )).
fof(d5_entropy1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( m2_finseq_1(C,A) => ( ( k3_finseq_1(B) = k5_numbers => ( C = k2_entropy1(A,B) <=> C = k1_xboole_0 ) ) & ( k3_finseq_1(B) != k5_numbers => ( C = k2_entropy1(A,B) <=> ? [D] : ( m2_finseq_1(D,k3_finseq_2(A)) & C = k1_matrprob(A,D,k3_finseq_1(B)) & k3_finseq_1(D) = k3_finseq_1(B) & k1_matrprob(A,D,1) = k1_matrprob(A,B,1) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(B),E) | k1_matrprob(A,D,k1_nat_1(E,1)) = k8_finseq_1(A,k1_matrprob(A,D,E),k1_matrprob(A,B,k1_nat_1(E,1))) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( H = k5_enumset1(A,B,C,D,E,F,G) <=> ! [I] : ( r2_hidden(I,H) <=> ~ ( I != A & I != B & I != C & I != D & I != E & I != F & I != G ) ) ) )).
fof(d5_eqrel_1,axiom,( ! [A] : k10_eqrel_1(A) = k8_eqrel_1(A,k6_partfun1(A)) )).
fof(d5_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(k4_equation(A),C)) => ( r1_equation(A,B,C,D) <=> ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,B)) => ( r1_msualg_3(A,k3_equation(A),B,E) => k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,B),E,C),k1_xtuple_0(D)) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,B),E,C),k2_xtuple_0(D)) ) ) ) ) ) ) ) )).
fof(d5_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k12_euclid(A) = k3_square_1(k18_rvsum_1(k12_rvsum_1(A))) ) )).
fof(d5_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k5_euclid_3(A,B,C,D) = k4_subset_1(u1_struct_0(k15_euclid(A)),k4_subset_1(u1_struct_0(k15_euclid(A)),k1_rltopsp1(k15_euclid(A),B,C),k1_rltopsp1(k15_euclid(A),C,D)),k1_rltopsp1(k15_euclid(A),D,B)) ) ) ) ) )).
fof(d5_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(3))) => k6_euclid_5(A,B,C) = k22_rvsum_1(A,k5_euclid_5(B,C)) ) ) ) )).
fof(d5_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_euclid(3)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(3)))) ) => ( D = k6_euclid_8(A,B,C) <=> ! [E] : ( v1_xreal_0(E) => k1_funct_1(D,E) = k1_euclid_8(k1_funct_1(A,E),k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) ) )).
fof(d5_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(A))) => k5_euclid_9(A,B) = a_2_0_euclid_9(A,B) ) ) )).
fof(d5_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => k2_euclidlp(A,B,C) = a_3_0_euclidlp(A,B,C) ) ) ) )).
fof(d5_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) ) => ( v5_euclmetr(A) <=> v7_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(d5_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v3_ordinal1(B) => ( ( ? [C] : ( v3_ordinal1(C) & r2_tarski(C,k9_xtuple_0(A)) ) => ( B = k2_exchsort(A) <=> v3_exchsort(A,B) ) ) & ( ! [C] : ( v3_ordinal1(C) => ~ r2_tarski(C,k9_xtuple_0(A)) ) => ( B = k2_exchsort(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d5_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k3_extpro_1(A,B,C,D) = k7_partfun1(u1_compos_1(B),C,k5_memstr_0(A,B,D)) ) ) ) ) )).
fof(d5_facirc_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k2_facirc_1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k1_binarith(B,C) ) ) ) ) )).
fof(d5_facirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m2_subset_1(D,u1_struct_0(k3_facirc_2(A,B,C)),k3_msafree2(k3_facirc_2(A,B,C))) => ( D = k5_facirc_2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & D = k1_funct_1(E,A) & k1_funct_1(E,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( G = k1_funct_1(E,F) => k1_funct_1(E,k1_nat_1(F,1)) = k17_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),G) ) ) ) ) ) ) ) ) )).
fof(d5_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_fdiff_1(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k1_fdiff_1(A,B) <=> ? [D] : ( m1_rcomp_1(D,B) & r1_tarski(D,k1_relset_1(k1_numbers,A)) & ? [E] : ( v1_funct_1(E) & v3_fdiff_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [F] : ( v1_funct_1(F) & v2_fdiff_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(E,1) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k6_xcmplx_0(k1_funct_1(A,G),k1_funct_1(A,B)) = k2_xcmplx_0(k1_funct_1(E,k6_xcmplx_0(G,B)),k1_funct_1(F,k6_xcmplx_0(G,B))) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_fdiff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r4_fdiff_3(B,A) => ! [C] : ( v1_xreal_0(C) => ( C = k1_fdiff_3(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v9_ordinal1(D) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k10_xtuple_0(E) = k1_tarski(A) & r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),k1_relset_1(k1_numbers,B)) & ! [F] : ( v7_ordinal1(F) => ~ r1_xxreal_0(k5_numbers,k1_funct_1(D,F)) ) ) => C = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),B),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,B)))) ) ) ) ) ) ) ) ) )).
fof(d5_ff_siec,axiom,( ! [A] : k5_ff_siec(A) = k1_ff_siec(k1_tarski(A),k1_xboole_0) )).
fof(d5_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => k5_fib_num2(A) = k1_fib_num2(k2_fib_num2,k3_xboole_0(k3_fib_num2,k2_finseq_1(A))) ) )).
fof(d5_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_filter_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(k3_lattices(A,C,D),B) <=> ( r2_tarski(C,B) | r2_tarski(D,B) ) ) ) ) ) ) ) )).
fof(d5_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) ) => ( C = k4_filter_1(A,B) <=> ! [D] : ( ( v1_partfun1(D,u1_struct_0(A)) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( D = k8_filter_0(A,B) => C = g3_lattices(k8_eqrel_1(u1_struct_0(A),D),k3_filter_1(u1_struct_0(A),D,u2_lattices(A)),k3_filter_1(u1_struct_0(A),D,u1_lattices(A))) ) ) ) ) ) ) ) )).
fof(d5_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) => k4_filter_2(A,B) = B ) ) )).
fof(d5_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A,B) = a_2_0_fin_topo(A,B) ) ) )).
fof(d5_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r1_finance1(A,B,C,D,E) <=> ! [F] : ( r2_tarski(F,D) => r2_tarski(k8_relat_1(E,F),C) ) ) ) ) ) )).
fof(d5_finseq_1,axiom,( ! [A] : k5_finseq_1(A) = k1_tarski(k4_tarski(1,A)) )).
fof(d5_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k3_finseq_2(A)) & v1_funct_1(C) & v1_partfun1(C,k3_finseq_2(A)) ) => ( C = k6_finseq_2(A,B) <=> ! [D] : ( m2_finseq_2(D,A,k3_finseq_2(A)) => k1_funct_1(C,D) = k4_card_3(k3_relat_1(D,B)) ) ) ) ) )).
fof(d5_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k5_finseq_4(A,B) <=> ? [D] : ( v7_ordinal1(D) & D = k6_xcmplx_0(k4_finseq_4(A,B),1) & C = k5_relat_1(A,k2_finseq_1(D)) ) ) ) ) ) )).
fof(d5_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k6_finseq_8(A,B,C) = k2_rfinseq(A,k3_finseq_1(k3_finseq_8(A,B,C)),C) ) ) ) )).
fof(d5_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ( v2_finset_1(B) <=> ! [C] : ( r2_hidden(C,A) => v1_finset_1(k1_funct_1(B,C)) ) ) ) )).
fof(d5_finsub_1,axiom,( ! [A] : ! [B] : ( v4_finsub_1(B) => ( B = k5_finsub_1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( r1_tarski(C,A) & v1_finset_1(C) ) ) ) ) )).
fof(d5_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( B = C => k5_fintopo2(A,B,C) = k7_margrel1 ) & ( B != C => k5_fintopo2(A,B,C) = k6_margrel1 ) ) ) ) ) )).
fof(d5_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => k5_fintopo3(A,B,C) = k1_funct_1(k4_fintopo3(A,B),C) ) ) ) )).
fof(d5_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) => ( B = k3_fintopo4(A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k2_finseq_1(A)) => ( ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(A,C) & k9_relat_1(B,C) != k1_enumset1(C,k7_nat_d(C,1),k1_nat_1(C,1)) ) & ( C = 1 => ( r1_xxreal_0(A,C) | k9_relat_1(B,C) = k1_enumset1(C,A,k1_nat_1(C,1)) ) ) & ( C = A => ( r1_xxreal_0(C,1) | k9_relat_1(B,C) = k1_enumset1(C,k7_nat_d(C,1),1) ) ) & ( ( C = 1 & C = A ) => k9_relat_1(B,C) = k1_tarski(C) ) ) ) ) ) ) ) )).
fof(d5_fintopo5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k5_fintopo5(A,B) = g1_orders_2(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k4_fintopo5(A,B)) ) ) )).
fof(d5_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_fintopo6(A,B,C) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_fintopo6(A,B)))) & D = C & r1_fintopo6(k1_fintopo6(A,B),D) ) ) ) ) ) )).
fof(d5_fomodel0,axiom,( ! [A] : k2_fomodel0(A) = k9_funct_3(A,A) )).
fof(d5_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k5_fomodel1(A) = k8_relset_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers,u1_fomodel1(A),k4_ordinal1) ) )).
fof(d5_fomodel2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k5_fomodel2(A,B,C) = k1_funct_4(A,k17_funcop_1(B,k17_funcop_1(k1_xboole_0,C))) ) )).
fof(d5_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [D] : ( v7_ordinal1(D) => k8_fomodel3(A,B,C,D) = a_4_0_fomodel3(A,B,C,D) ) ) ) ) )).
fof(d5_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( m2_funct_2(C,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) => ( C = k4_fomodel4(A,B) <=> ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) => k3_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),C,D) = k3_tarski(k7_relat_1(k3_tarski(B),k6_domain_1(k9_setfam_1(k1_fomodel4(A)),D))) ) ) ) ) ) )).
fof(d5_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k2_frechet(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> r1_frechet(A,B,D) ) ) ) ) ) ) )).
fof(d5_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_freealg(B,A) => ( v2_freealg(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) ) => ( r1_unialg_2(A,C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & r1_alg_1(A,C,E) & k2_partfun1(u1_struct_0(A),u1_struct_0(C),E,B) = D ) ) ) ) ) ) ) )).
fof(d5_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k5_fscirc_1(A,B,C) = k3_circcomb(k2_circcomb(k5_circcomb(k2_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C))),k5_circcomb(k2_twoscomp,k10_finseq_1(A,C)),k3_circcomb(k5_circcomb(k2_twoscomp,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C)),k6_facirc_1(A,B,k2_twoscomp),k6_facirc_1(B,C,k3_facirc_1)),k6_facirc_1(A,C,k2_twoscomp)) )).
fof(d5_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E = k3_fsm_1(A,B,C,D) <=> r1_fsm_1(A,B,D,C,E) ) ) ) ) ) ) )).
fof(d5_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & l1_fsm_2(C,A) ) => ( r2_fsm_2(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & r1_fsm_2(A,C,D,B) & r2_tarski(D,u1_fsm_2(A,C)) ) ) ) ) ) )).
fof(d5_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k5_ftacell1(A,B,C,D,E) = k9_gfacirc1(k12_gfacirc1(A,B,C),E,D) )).
fof(d5_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k5_funcop_1(A,B,C) = k3_relat_1(k13_funct_3(k2_funcop_1(k9_xtuple_0(C),B),C),A) ) ) )).
fof(d5_funcsdom,axiom,( ! [A] : k9_funcsdom(A) = k8_funcop_1(k4_ordinal1,A,1) )).
fof(d5_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_funct_1(A) => k2_funct_1(A) = k2_relat_1(A) ) ) )).
fof(d5_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( E = k4_funct_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,A) => k3_funct_2(A,B,E,F) = k1_xtuple_0(k3_funct_2(A,k2_zfmisc_1(B,C),D,F)) ) ) ) ) ) ) ) )).
fof(d5_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k8_funct_3(A,B) <=> ( k9_xtuple_0(C) = k2_zfmisc_1(A,B) & ! [D] : ! [E] : ( ( r2_hidden(D,A) & r2_hidden(E,B) ) => k1_binop_1(C,D,E) = E ) ) ) ) )).
fof(d5_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k6_funct_4(A,B,C) = k1_funct_4(A,k3_relat_1(A,k17_funcop_1(B,C))) ) )).
fof(d5_funct_5,axiom,( k6_funct_5 = k17_funcop_1(k5_ordinal1,k5_ordinal1) )).
fof(d5_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k4_funct_6(A,B,C) = k1_binop_1(k2_funct_5(A),B,C) ) )).
fof(d5_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_finseq_1(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k4_funct_7(A,B) <=> ( k3_finseq_1(C) = k1_nat_1(k3_finseq_1(A),1) & k1_funct_1(C,1) = B & ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( r2_tarski(D,k4_finseq_1(A)) & E = k1_funct_1(A,D) ) => k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(E,k1_funct_1(C,D)) ) ) ) ) ) ) ) )).
fof(d5_funct_8,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r1_funct_8(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(B,D)) & v4_funct_8(k5_relset_1(B,C,D,A),B,C) ) ) ) ) ) )).
fof(d5_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( l1_functor0(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_functor0(A,B,C,D) = k1_xtuple_0(k2_binop_1(u1_struct_0(A),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),D,D)) ) ) ) ) )).
fof(d5_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => ! [D] : ( m2_functor0(D,A,B) => ! [E] : ( m2_functor0(E,A,B) => ( ( r1_functor2(A,B,C,D) & r1_functor2(A,B,D,E) ) => ! [F] : ( m1_functor2(F,A,B,C,D) => ! [G] : ( m1_functor2(G,A,B,D,E) => ! [H] : ( m1_functor2(H,A,B,C,E) => ( H = k3_functor2(A,B,C,D,E,F,G) <=> ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k2_functor2(A,B,C,E,H,I) = k5_altcat_1(B,k3_functor0(A,B,C,I),k3_functor0(A,B,D,I),k3_functor0(A,B,E,I),k2_functor2(A,B,C,D,F,I),k2_functor2(A,B,D,E,G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( r1_functor3(A,B,C,D) => ! [E] : ( m2_functor2(E,A,B,C,D) => ( m1_functor3(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => v3_altcat_3(k2_functor2(A,B,C,D,E,F),B,k3_functor0(A,B,C,F),k3_functor0(A,B,D,F)) ) ) ) ) ) ) ) ) )).
fof(d5_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( C = k3_fuzzy_1(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k3_funct_2(A,k1_numbers,C,D) = k6_xcmplx_0(1,k3_funct_2(A,k1_numbers,B,D)) ) ) ) ) ) )).
fof(d5_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => k5_fuzzy_2(A,B) = k5_funct_3(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)) ) ) )).
fof(d5_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(k5_numbers,C) => k3_fvaluat1(A,B,C) = k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,k1_int_2(C)) ) & ( ~ r1_xxreal_0(k5_numbers,C) => k3_fvaluat1(A,B,C) = k9_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,k1_int_2(C))) ) ) ) ) ) )).
fof(d5_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k7_fvsum_1(A,B,C) = k1_finseqop(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k2_fvsum_1(A),B,C) ) ) ) )).
fof(d5_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k5_gate_5(A,B,C,D,E) = k2_gate_1(A,D) )).
fof(d5_gaussint,axiom,( k4_gaussint = k2_partfun1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers,k5_binop_2,k2_zfmisc_1(k4_numbers,k1_gaussint)) )).
fof(d5_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k2_gcd_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> r3_gcd_1(A,D,B) ) ) ) ) ) ) )).
fof(d5_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_finseq_1(B,k3_card_3(A)) => ! [C] : ( m2_finseq_1(C,k3_card_3(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => k4_genealg1(A,B,C,D,E,F,G) = k1_genealg1(A,k3_genealg1(A,B,C,D,E,F),k3_genealg1(A,C,B,D,E,F),G) ) ) ) ) ) ) ) )).
fof(d5_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ! [E] : ( v1_xreal_0(E) => ( E = k3_geomtrap(A,B,C,D) <=> ? [F] : ( v1_xreal_0(F) & D = k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,E)) ) ) ) ) ) ) ) ) )).
fof(d5_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k5_gfacirc1(A,B,C) = k2_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C))),k5_circcomb(k3_facirc_1,k10_finseq_1(C,A))) )).
fof(d5_glib_000,axiom,( k5_glib_000 = k9_domain_1(k4_ordinal1,k1_glib_000,k2_glib_000,k3_glib_000,k4_glib_000) )).
fof(d5_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( ( r1_glib_000(A,B,C,D) => k2_glib_001(A,B,C,D) = k11_finseq_1(B,D,C) ) & ( ~ r1_glib_000(A,B,C,D) => k2_glib_001(A,B,C,D) = k1_glib_001(A,o_1_0_glib_001(A)) ) ) ) )).
fof(d5_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_glib_000(A))) ) => ( C = k1_glib_002(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( m3_glib_001(E,A) & r1_glib_001(A,B,D,E) ) ) ) ) ) ) )).
fof(d5_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ( v2_glib_003(A) <=> ( r2_tarski(k3_glib_003,k1_relset_1(k4_ordinal1,A)) & ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k1_funct_1(A,k3_glib_003) = B & r1_tarski(k9_xtuple_0(B),k7_glib_000(A)) ) ) ) ) )).
fof(d5_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ( B = k3_glib_004(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( v1_glib_003(D) & v4_glib_003(D,A) & m1_glib_000(D,A) & C = D & k1_relset_1(k4_ordinal1,D) = k2_glib_004 ) ) ) ) ) )).
fof(d5_goboard1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v2_goboard1(A) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(k1_matrix_0(A))) => v3_funct_1(k2_goboard1(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) ) )).
fof(d5_goboard5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( v2_goboard5(A) <=> r1_goboard1(u1_struct_0(k15_euclid(2)),A,k2_goboard2(A)) ) ) )).
fof(d5_gobrd13,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( D = k4_gobrd13(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(B)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,F) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,G,H) & ~ ( E = G & k1_nat_1(F,1) = H & D = k3_goboard5(B,k7_nat_d(G,1),H) ) & ~ ( k1_nat_1(E,1) = G & F = H & D = k3_goboard5(B,G,H) ) & ~ ( E = k1_nat_1(G,1) & F = H & D = k3_goboard5(B,k7_nat_d(G,1),k7_nat_d(H,1)) ) & ~ ( E = G & F = k1_nat_1(H,1) & D = k3_goboard5(B,G,k7_nat_d(H,1)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => k3_goedcpuc(A,B,C) = k9_cqc_lang(k1_goedcpuc(A),k6_cqc_lang(k1_goedcpuc(A),k12_cqc_lang(k1_goedcpuc(A),k2_qc_trans(A,k1_goedcpuc(A),C),k1_qc_trans(A,k1_goedcpuc(A),B))),k4_substut2(k1_goedcpuc(A),k1_qc_trans(A,k1_goedcpuc(A),B),k2_qc_trans(A,k1_goedcpuc(A),C),k2_goedcpuc(A,B,C))) ) ) ) )).
fof(d5_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v4_qc_lang2(B,A) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( C = k3_goedelcp(A,B) <=> ? [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) & B = k12_cqc_lang(A,D,C) ) ) ) ) ) ) )).
fof(d5_gr_cy_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k4_gr_cy_1(A) = g3_algstr_0(k5_card_1(A),k3_gr_cy_1(A)) ) )).
fof(d5_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ( r1_partfun1(u1_graph_1(A),u1_graph_1(B)) & r1_partfun1(u2_graph_1(A),u2_graph_1(B)) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_graph_1(C) & l1_graph_1(C) ) => ( C = k5_graph_1(A,B) <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u4_struct_0(C) = k2_xboole_0(u4_struct_0(A),u4_struct_0(B)) & ! [D] : ( r2_tarski(D,u4_struct_0(A)) => ( k1_funct_1(u1_graph_1(C),D) = k1_funct_1(u1_graph_1(A),D) & k1_funct_1(u2_graph_1(C),D) = k1_funct_1(u2_graph_1(A),D) ) ) & ! [D] : ( r2_tarski(D,u4_struct_0(B)) => ( k1_funct_1(u1_graph_1(C),D) = k1_funct_1(u1_graph_1(B),D) & k1_funct_1(u2_graph_1(C),D) = k1_funct_1(u2_graph_1(B),D) ) ) ) ) ) ) ) ) )).
fof(d5_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : k5_graph_2(A,B) = a_2_2_graph_2(A,B) ) )).
fof(d5_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_graph_3(A,B) = k3_graph_3(A,B,u4_struct_0(A)) ) ) )).
fof(d5_graph_3a,axiom,( k5_graph_3a = g1_graph_1(k1_graph_3a,k2_graph_3a,k3_graph_3a,k4_graph_3a) )).
fof(d5_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r3_graph_4(A,B,C) <=> ( k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),1) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r1_graph_4(A,k7_partfun1(u1_struct_0(A),B,D),k7_partfun1(u1_struct_0(A),B,k1_nat_1(D,1)),k1_funct_1(C,D)) ) ) ) ) ) ) ) )).
fof(d5_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_graph_5(A,B,C) = a_3_0_graph_5(A,B,C) ) ) ) )).
fof(d5_graphsp,axiom,( ! [A] : ( m2_funct_2(A,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_funct_2(C,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ( C = k9_graphsp(A,B) <=> ( k9_xtuple_0(C) = k3_finseq_2(k1_numbers) & ! [D] : ( m2_finseq_2(D,k1_numbers,k3_finseq_2(k1_numbers)) => k6_graphsp(C,D) = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),A),k8_graphsp(A,D,B)),D) ) ) ) ) ) ) )).
fof(d5_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( B = k4_groeb_1(A) <=> ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r2_hidden(k4_tarski(C,D),B) <=> r3_pre_poly(A,C,D) ) ) ) ) ) ) )).
fof(d5_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( v7_ordinal1(E) => k6_groeb_3(A,B,C,D,E) = k2_groeb_3(A,C,D,k4_groeb_3(A,B,C,D,E)) ) ) ) ) ) )).
fof(d5_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k2_group_1(A,B) <=> ( k6_algstr_0(A,B,C) = k1_group_1(A) & k6_algstr_0(A,C,B) = k1_group_1(A) ) ) ) ) ) )).
fof(d5_group_10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k1_funct_2(A,A)) & v1_group_10(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(A,A)))) ) => ( r1_ordinal1(k4_card_1(B),k1_card_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),k1_funct_2(k3_group_10(A,B),k3_group_10(A,B))) & v1_group_10(E,C,k3_group_10(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(k3_group_10(A,B),k3_group_10(A,B))))) ) => ( E = k5_group_10(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k1_funct_2(k3_group_10(A,B),k3_group_10(A,B)),E,F) = k4_group_10(A,B,C,F,D) ) ) ) ) ) ) ) ) )).
fof(d5_group_19,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) ) => ( ( k9_xtuple_0(A) = k9_xtuple_0(B) & k9_xtuple_0(B) = k9_xtuple_0(C) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => ( v1_funct_1(k1_funct_1(C,D)) & v1_funct_2(k1_funct_1(C,D),k1_funct_1(A,D),k1_funct_1(B,D)) & m1_subset_1(k1_funct_1(C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,D),k1_funct_1(B,D)))) ) ) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_card_3(A),k4_card_3(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(B)))) ) => ( D = k6_group_19(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_card_3(A)) => ! [F] : ~ ( r2_hidden(F,k9_xtuple_0(C)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_funct_1(A,F),k1_funct_1(B,F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,F),k1_funct_1(B,F)))) ) => ~ ( G = k1_funct_1(C,F) & k1_funct_1(k3_funct_2(k4_card_3(A),k4_card_3(B),D,E),F) = k1_funct_1(G,k1_funct_1(E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & l3_algstr_0(B) ) => ( m1_group_2(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d5_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_group_3(A,B,C) = k3_group_3(A,k6_domain_1(u1_struct_0(A),C),B) ) ) ) )).
fof(d5_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => k5_group_5(A,B,C) = k4_group_5(A,k8_group_2(A,B),k8_group_2(A,C)) ) ) ) )).
fof(d5_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_group_6(A,B))) => k6_group_6(A,B,C) = C ) ) ) )).
fof(d5_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_group_9(B,A) ) => ( v3_group_9(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(u1_struct_0(C),u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(u1_struct_0(C),u1_struct_0(C))))) ) => ( ( r1_funct_2(A,k1_funct_2(u1_struct_0(C),u1_struct_0(C)),A,k1_funct_2(u1_struct_0(B),u1_struct_0(B)),D,u1_group_9(A,B)) & g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) = g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) ) => v1_group_9(D,A,C) ) ) ) ) ) )).
fof(d5_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k5_hahnban1(A,B,C,D) = k3_hahnban1(A,B,C,k4_hahnban1(A,B,D)) ) ) ) ) )).
fof(d5_hallmar1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k1_zfmisc_1(A)) => ( m1_hallmar1(D,A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(B)) => ( E = C | k1_funct_1(B,E) = k1_funct_1(D,E) ) ) ) & r1_tarski(k1_funct_1(D,C),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(d5_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m1_valuat_1(C,A,k1_henmodel(A)) => ( m1_henmodel(C,A,B) <=> ! [D] : ( m1_subset_1(D,k6_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k2_margrel1(k1_henmodel(A))) => ( r1_margrel1(k1_henmodel(A),k3_funct_2(k6_qc_lang1(A),k2_margrel1(k1_henmodel(A)),C,D),E) => ! [F] : ( r2_tarski(F,E) <=> ? [G] : ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,k7_qc_lang1(A,D)) & m2_finseq_1(G,k2_qc_lang1(A)) & F = G & r1_henmodel(A,B,k2_henmodel(A,D,G)) ) ) ) ) ) ) ) ) ) )).
fof(d5_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) ) => ( v3_hermitan(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(k1_complfld),B,C,D) = k2_complfld(k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(k1_complfld),B,D,C)) ) ) ) ) ) )).
fof(d5_heyting1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) => ( B = k5_heyting1(A) <=> ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => k4_binop_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),B,C,D) = k3_normform(k5_finsub_1(A),k5_finsub_1(A),C,D) ) ) ) ) )).
fof(d5_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))),u1_struct_0(k5_substlat(A,B))))) ) => ( C = k5_heyting2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_substlat(A,B))) => ! [F] : ( m2_subset_1(F,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [G] : ( m2_subset_1(G,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ( ( F = D & G = E ) => k4_binop_1(u1_struct_0(k5_substlat(A,B)),C,D,E) = k3_substlat(A,B,k3_heyting2(A,B,F,G)) ) ) ) ) ) ) ) ) )).
fof(d5_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_heyting3(k4_ordinal1,k6_domain_1(k4_ordinal1,A))))) => ( B = k5_heyting3(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) & C = k4_heyting3(D,A) ) ) ) ) ) )).
fof(d5_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k5_hilbasis(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( ( E = B => k8_nat_1(u1_struct_0(A),D,E) = C ) & ( E != B => k8_nat_1(u1_struct_0(A),D,E) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(d5_hilbert1,axiom,( ! [A] : ( v5_hilbert1(A) <=> ( r1_tarski(A,k13_finseq_1(k4_ordinal1)) & v1_hilbert1(A) & v2_hilbert1(A) & v3_hilbert1(A) & v4_hilbert1(A) ) ) )).
fof(d5_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_hilbert3(B,A) => ! [C] : ( m2_pboole(C,k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A)) => ( C = k4_hilbert3(A,B) <=> ( k1_msualg_3(k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A),C,k2_hilbert1) = k6_partfun1(1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_msualg_3(k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A),C,k1_hilbert2(D)) = k1_funct_1(B,D) ) & ! [D] : ( m1_subset_1(D,k1_hilbert1) => ! [E] : ( m1_subset_1(E,k1_hilbert1) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k3_hilbert3(A,D),k3_hilbert3(A,D)) & v3_funct_2(F,k3_hilbert3(A,D),k3_hilbert3(A,D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A,D),k3_hilbert3(A,D)))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k3_hilbert3(A,E),k3_hilbert3(A,E)) & v3_funct_2(G,k3_hilbert3(A,E),k3_hilbert3(A,E)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A,E),k3_hilbert3(A,E)))) & F = k1_msualg_3(k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A),C,D) & G = k1_msualg_3(k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A),C,E) & k1_msualg_3(k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A),C,k4_hilbert1(D,E)) = k16_funct_3(k3_hilbert3(A,D),k3_hilbert3(A,E),k3_hilbert3(A,D),k3_hilbert3(A,E),F,G) & k1_msualg_3(k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A),C,k3_hilbert1(D,E)) = k1_hilbert3(k3_hilbert3(A,D),k3_hilbert3(A,E),F,G) ) ) ) ) ) ) ) ) ) )).
fof(d5_hilbert4,axiom,( ! [A] : k5_hilbert4(A) = k1_funct_4(k1_funct_4(k6_partfun1(1),k3_relat_1(k2_zfmisc_1(1,k1_funct_2(A,k1_xboole_0)),k2_zfmisc_1(k1_funct_2(A,k1_xboole_0),k6_domain_1(k4_ordinal1,1)))),k3_relat_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),k1_funct_2(A,k1_xboole_0)),k2_zfmisc_1(k1_funct_2(A,k1_xboole_0),k6_domain_1(k4_ordinal1,k5_numbers)))) )).
fof(d5_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v3_trees_2(A) ) => k5_huffman1(A) = k2_xtuple_0(k1_funct_1(A,k1_xboole_0)) ) )).
fof(d5_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C != k9_polynom3(A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k5_hurwitz(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k8_polynom3(A,k12_polynom3(A,D,C),E)) & ~ r1_xxreal_0(k2_hurwitz(A,C),k2_hurwitz(A,E)) ) ) ) ) ) ) ) )).
fof(d5_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_hurwitz2(B,A) <=> v1_hurwitz2(k10_polynom5(A,B),A) ) ) ) )).
fof(d5_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_idea_1(A,B) => k5_idea_1(A,B) = k6_xcmplx_0(k5_series_1(2,A),B) ) ) ) )).
fof(d5_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_ideal_1(A,B) = k1_realset1(u1_algstr_0(A),B) ) ) )).
fof(d5_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v6_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u2_incsp_1(A)) & r1_incsp_1(A,B,D) & r1_incsp_1(A,C,D) ) ) ) ) ) )).
fof(d5_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A))) => ! [C] : ( m1_subset_1(C,u4_incsp_1(A)) => ( r5_incsp_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( r2_tarski(D,B) => r2_incsp_1(A,D,C) ) ) ) ) ) ) )).
fof(d5_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) => ( v2_index_1(C,A,B) <=> v1_index_1(k1_xfamily(C)) ) ) )).
fof(d5_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r3_pua2mss1(A,B,D,E) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E))) => ( F = k3_instalg1(A,B,C,D,E) <=> ( r1_msualg_3(A,k11_msafree(A,k3_relat_1(D,C)),k1_instalg1(A,B,k11_msafree(B,C),D,E),F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_funct_1(k3_relat_1(D,C),G)) => k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),F,G),k1_trees_4(k4_tarski(H,G))) = k1_trees_4(k4_tarski(H,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r2_int_1(A,B,C) <=> ? [D] : ( v1_int_1(D) & k3_xcmplx_0(C,D) = k6_xcmplx_0(A,B) ) ) ) ) ) )).
fof(d5_int_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k1_int_3),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3),k4_ordinal1))) ) => ( A = k3_int_3 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k1_int_3)) => k3_funct_2(u1_struct_0(k1_int_3),k4_ordinal1,A,B) = k1_funct_1(k2_euclid,B) ) ) ) )).
fof(d5_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_partfun3(B) & v1_int_6(B) ) => ( k3_finseq_1(B) = k3_finseq_1(A) => ! [C] : ( v1_int_1(C) => ( C = k2_int_6(A,B) <=> ! [D] : ( m1_int_6(D,B) => C = k5_int_1(k16_rvsum_1(k18_valued_1(A,D)),k19_rvsum_1(B)) ) ) ) ) ) ) )).
fof(d5_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r3_integr10(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,C) => ( r1_integra5(k3_integra5(B,C),A) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,A,k3_integra5(B,C))) ) ) ) & ? [C] : ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,C) = k2_limfunc1(B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k1_relset_1(k1_numbers,C)) => k1_funct_1(C,D) = k4_integra5(B,D,A) ) ) & v3_limfunc1(C) ) ) ) ) ) )).
fof(d5_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( m2_finseq_1(E,k1_euclid(A)) => ( m3_integr15(E,A,B,C,D) <=> ( k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(D)) & ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) => ~ ( r2_tarski(G,k2_relset_1(k1_euclid(A),k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,D,F)))) & k1_funct_1(E,F) = k9_euclid(A,G,k3_integra1(k2_integra1(B,D,F))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_integr1c,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_integr1c(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( r1_integr1c(A,B) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_numbers)) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(C,D) & k1_rcomp_1(C,D) = k1_relset_1(k1_numbers,B) & r1_tarski(k1_rcomp_1(C,D),k1_relset_1(k1_numbers,E)) & r1_tarski(k1_rcomp_1(C,D),k1_relset_1(k1_numbers,F)) & v3_rcomp_1(G) & r1_tarski(k1_rcomp_1(C,D),G) & r2_fdiff_1(E,G) & r2_fdiff_1(F,G) & v1_fcont_1(k2_fdiff_1(E,G)) & v1_fcont_1(k2_fdiff_1(F,G)) & r2_relset_1(k1_numbers,k2_numbers,B,k2_partfun1(k1_numbers,k2_numbers,k2_valued_1(k1_numbers,k1_numbers,k2_numbers,E,k25_valued_1(k1_numbers,k1_numbers,F,k7_complex1)),k1_rcomp_1(C,D))) ) => ( r1_integra5(k3_integra5(C,D),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k2_fdiff_1(E,G)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k2_fdiff_1(F,G)))) & r1_integra5(k3_integra5(C,D),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k2_fdiff_1(E,G)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k2_fdiff_1(F,G)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_integra1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => k3_integra1(A) = k6_xcmplx_0(k2_seq_4(A),k3_seq_4(A)) ) )).
fof(d5_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( C = k5_interva1(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & B = k2_interva1(A,C,D) ) ) ) ) ) )).
fof(d5_irrat_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( A = k5_irrat_1 <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k7_xcmplx_0(1,k7_newton(B)) ) ) ) )).
fof(d5_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( r1_nattra_1(A,B,D,E) => ! [F] : ( m1_nattra_1(F,A,B,D,E) => ! [G] : ( m2_cat_1(G,B,C) => k2_isocat_1(A,B,C,D,E,F,G) = k1_partfun1(u1_struct_0(A),u4_struct_0(B),u4_struct_0(B),u4_struct_0(C),F,G) ) ) ) ) ) ) ) ) )).
fof(d5_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m2_cat_1(E,k6_cat_2(A,B),C) => ( r2_nattra_1(k6_cat_2(A,B),C,D,E) => ! [F] : ( m2_nattra_1(F,k6_cat_2(A,B),C,D,E) => ! [G] : ( m2_nattra_1(G,A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) => ( G = k6_isocat_2(A,B,C,D,E,F) <=> ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)))) ) => ( r1_funct_2(u1_struct_0(k6_cat_2(A,B)),u4_struct_0(C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F,H) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k2_nattra_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I) = k4_tarski(k7_cat_2(k9_nattra_1(B,C),k9_nattra_1(B,C),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k10_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),k9_funct_2(u1_struct_0(B),u4_struct_0(C)),k11_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),H),I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_isomichi,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_isomichi(A,B) = k1_tops_1(A,k2_tops_1(A,B)) ) ) )).
fof(d5_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ( B = k5_jgraph_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,C) = k4_jgraph_4(A,C) ) ) ) ) )).
fof(d5_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k5_jgraph_6(A,B,C) = a_3_0_jgraph_6(A,B,C) ) ) ) )).
fof(d5_jordan,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) => ( A = k7_jordan <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers,A,B) = k17_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)) ) ) ) )).
fof(d5_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ( r5_jordan20(A,B,C,D,E) <=> ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & k17_euclid(D) = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & r1_jordan5c(A,B,C,F,D) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan5c(A,B,C,F,G) & r1_jordan5c(A,B,C,G,D) ) => k17_euclid(G) = E ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( r1_jordan5c(A,B,C,G,F) => ( G = F | ( ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) & r1_jordan5c(A,B,C,G,H) & r1_jordan5c(A,B,C,H,F) & ~ r1_xxreal_0(k17_euclid(H),E) ) & ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) & r1_jordan5c(A,B,C,G,H) & r1_jordan5c(A,B,C,H,F) & ~ r1_xxreal_0(E,k17_euclid(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k2_jordan2c(A,B) = k3_tarski(a_2_1_jordan2c(A,B)) ) ) )).
fof(d5_jordan3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_jordan3(A,B,C,D) <=> ( r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,B)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) & C = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(2),B,E)) & r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,1) & D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(2),B,F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) ) ) ) ) )).
fof(d5_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k5_jordan5d(A) <=> ( r2_hidden(k4_tarski(B,1),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,1) = k25_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d5_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => k5_jordan6(A,B,C,D,E) = k9_subset_1(u1_struct_0(k15_euclid(2)),k4_jordan6(A,B,C,D),k3_jordan6(A,B,C,E)) ) ) ) ) ) )).
fof(d5_jordan_a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( v1_xreal_0(C) => ( C = k3_jordan_a(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) & D = B & C = k2_tbsp_1(k14_euclid(A),D) ) ) ) ) ) )).
fof(d5_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k4_knaster(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v5_ordinal1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_numbers) = C & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_funct_1(B,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_numbers | k1_funct_1(F,G) = k16_lattice3(A,k2_relset_1(k10_xtuple_0(F),k5_relat_1(F,G))) ) ) ) ) ) ) ) ) ) )).
fof(d5_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ! [E] : ( m1_kolmog01(E,D,A,B) => ( r2_kolmog01(A,B,C,D,E) <=> ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) ) => ! [G] : ( m2_kolmog01(G,A,B,D,F,E) => r1_kolmog01(A,B,C,F,G) ) ) ) ) ) ) ) )).
fof(d5_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_kurato_0(B,A) <=> k4_kurato_0(A,B) = k3_kurato_0(A,B) ) ) )).
fof(d5_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_kurato_1(A,B) = k5_enumset1(B,k1_tops_1(A,B),k2_pre_topc(A,B),k1_tops_1(A,k2_pre_topc(A,B)),k2_pre_topc(A,k1_tops_1(A,B)),k2_pre_topc(A,k1_tops_1(A,k2_pre_topc(A,B))),k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,B)))) ) ) )).
fof(d5_lang1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( m2_finseq_2(B,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r3_lang1(A,B,C) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_xxreal_0(1,k3_finseq_1(D)) & k1_funct_1(D,1) = B & k1_funct_1(D,k3_finseq_1(D)) = C & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(k3_finseq_1(D),E) & ! [F] : ( m2_finseq_2(F,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [G] : ( m2_finseq_2(G,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( k1_funct_1(D,E) = F & k1_funct_1(D,k1_nat_1(E,1)) = G & r2_lang1(A,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),C,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => k6_laplace(A,B,C,D,E) = k8_group_1(D,k1_laplace(D,k4_group_1(D),k4_algstr_0(D,k1_group_1(D)),k2_xcmplx_0(A,B)),k5_laplace(A,B,C,D,E)) ) ) ) ) ) )).
fof(d5_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v5_lattad_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,k1_lattices(A,C,B)) = B ) ) ) ) )).
fof(d5_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => k7_lattice3(A) = g1_orders_2(u1_struct_0(A),k3_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))) ) )).
fof(d5_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,A,B) => ( r3_lattice4(A,B,C) <=> k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_lattices(A)) = k5_lattices(B) ) ) ) ) )).
fof(d5_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v1_lattice5(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k3_lattice5(A,B,C,D,E) = k3_lattice5(A,B,C,E,D) ) ) ) ) ) ) )).
fof(d5_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattice6(A,B,C) <=> ( B != C & r3_lattices(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r3_lattices(A,C,D) & r3_lattices(A,D,B) & D != B & D != C ) ) ) ) ) ) ) )).
fof(d5_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k2_lattice7(A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r3_orders_2(A,D,C) ) ) & r2_tarski(C,B) ) ) ) ) ) )).
fof(d5_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k3_lattice8(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_numbers) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k1_lattice8(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_numbers | k1_funct_1(D,E) = k3_tarski(k2_relset_1(k10_xtuple_0(D),k5_relat_1(D,E))) ) ) ) ) ) ) ) )).
fof(d5_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k2_latticea(A) <=> ( k9_xtuple_0(B) = u1_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(B,C) = a_2_0_latticea(A,C) ) ) ) ) ) )).
fof(d5_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ( v5_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,k1_lattices(A,B,C),D) ) ) ) ) ) )).
fof(d5_lexbfs,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k15_pre_poly(A))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( D = k4_lexbfs(A,B,C) <=> ( r2_tarski(D,C) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_tarski(E,C) => r1_termord(A,B,E,D) ) ) ) ) ) ) ) ) )).
fof(d5_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) => k5_lfuzzy_0(A,B) = B ) ) )).
fof(d5_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v2_lfuzzy_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => k8_lfuzzy_0(A,A,B,C,D) = k8_lfuzzy_0(A,A,B,D,C) ) ) ) ) ) )).
fof(d5_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_limfunc1(A) <=> ! [B] : ( v1_xreal_0(B) => ? [C] : ( v7_ordinal1(C) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(C,D) & r1_xxreal_0(B,k1_funct_1(A,D)) ) ) ) ) ) ) )).
fof(d5_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r5_limfunc2(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,D) & ~ r1_xxreal_0(D,B) & r2_hidden(D,k1_relset_1(k1_numbers,A)) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(C) & k1_seq_2(C) = B & r1_tarski(k2_relset_1(k1_numbers,C),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) => v1_limfunc1(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d5_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( r1_lmod_6(A,B,C) <=> m1_vectsp_4(B,A,C) ) ) ) ) )).
fof(d5_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_lopban_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_rlvect_1(A,D,E)) = k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) )).
fof(d5_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k6_lopban_2(A) = k6_partfun1(u1_struct_0(A)) ) )).
fof(d5_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k2_lopban_3(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k6_algstr_0(A,C,k1_normsp_0(A,B,E)) ) ) ) ) ) ) )).
fof(d5_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k4_lopban_4(A,B) <=> ( k8_nat_1(u1_struct_0(A),C,k5_numbers) = k4_struct_0(A) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),C,k1_nat_1(D,1)) = k8_nat_1(u1_struct_0(A),B,D) ) ) ) ) ) ) )).
fof(d5_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => k7_lopclset(A) = a_1_1_lopclset(A) ) )).
fof(d5_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)))) ) => ( B = k9_lpspacc1(A) <=> ! [C] : ( m2_rfunct_3(C,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => r2_relset_1(A,k2_numbers,k2_lpspace1(A,k2_numbers,B,C,D),k1_lpspacc1(A,k2_numbers,C,D)) ) ) ) ) ) )).
fof(d5_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k5_lpspace1(A) = k8_funcop_1(k4_ordinal1,A,k5_numbers) ) )).
fof(d5_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => k4_lpspace2(A,B,C,D) = g1_rlvect_1(k3_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k2_lpspace2(A,B,C,D)),k3_lpspace2(A,B,C,D)),k1_ideal_1(k2_lpspace2(A,B,C,D),k3_lpspace2(A,B,C,D)),k1_lpspace1(k2_lpspace2(A,B,C,D),k3_lpspace2(A,B,C,D))) ) ) ) ) )).
fof(d5_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k5_ltlaxio1(A,B) = k1_ltlaxio1(k4_ltlaxio1(k1_ltlaxio1(A),k1_ltlaxio1(B))) ) ) )).
fof(d5_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ( B = k5_ltlaxio2(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(B,C) = k2_ltlaxio1(k7_partfun1(k1_hilbert1,A,C)) ) ) ) ) ) ) )).
fof(d5_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( B = k5_ltlaxio3(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,k1_hilbert1) & r2_tarski(D,A) & r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,D)) ) ) ) ) ) )).
fof(d5_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( r1_ltlaxio4(A,B) <=> ( r1_tarski(k2_relset_1(k1_hilbert1,k8_ltlaxio3(A)),k2_relset_1(k1_hilbert1,k8_ltlaxio3(B))) & r1_tarski(k2_relset_1(k1_hilbert1,k9_ltlaxio3(A)),k2_relset_1(k1_hilbert1,k9_ltlaxio3(B))) & k5_ltlaxio3(k10_ltlaxio3(A)) = k10_ltlaxio3(B) ) ) ) ) )).
fof(d5_margrel1,axiom,( ! [A] : ! [B] : ( ( v3_finseq_1(B) & v2_card_3(B) ) => ( m2_margrel1(B,A) <=> ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(C,B) => r1_tarski(k10_xtuple_0(C),A) ) ) ) ) )).
fof(d5_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k5_mathmorp(A,B,C) = k3_mathmorp(A,k6_rusub_4(A,B,C),C) ) ) ) )).
fof(d5_matrix10,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( r1_matrix10(A,B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_hidden(k4_tarski(C,D),k2_matrix_0(A)) & r1_xxreal_0(k3_matrix_0(k1_numbers,B,C,D),k3_matrix_0(k1_numbers,A,C,D)) ) ) ) ) ) ) )).
fof(d5_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),k3_finseq_2(u1_struct_0(A))),k3_finseq_2(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),k3_finseq_2(u1_struct_0(A))),k3_finseq_2(u1_struct_0(A))))) ) => ( B = k5_matrix11(A) <=> ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [D] : ( m2_finseq_2(D,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => k4_binop_1(k3_finseq_2(u1_struct_0(A)),B,C,D) = k3_fvsum_1(A,C,D) ) ) ) ) ) )).
fof(d5_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( r2_tarski(E,k2_finseq_1(k1_matrix_0(D))) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(B,k5_numbers) | ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(C),A,B) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(C))) ) => ( G = k5_matrix12(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(H,k4_finseq_1(D)) & r2_tarski(I,k2_finseq_1(k1_matrix_0(D))) ) => ( ( I = E => k3_matrix_0(u1_struct_0(C),G,H,I) = k8_group_1(C,F,k3_matrix_0(u1_struct_0(C),D,H,E)) ) & ( I != E => k3_matrix_0(u1_struct_0(C),G,H,I) = k3_matrix_0(u1_struct_0(C),D,H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k6_prvect_1(A,B))) => k10_matrix13(A,B,C) = C ) ) ) )).
fof(d5_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ( ( k1_matrix_0(B) = k5_numbers => k3_finseq_1(B) = k5_numbers ) => ! [C] : ( ( v7_vectsp_1(C,A) & m1_vectsp_4(C,A,k6_prvect_1(A,k1_matrix_0(B))) ) => ( C = k7_matrix15(A,B) <=> u1_struct_0(C) = k6_matrix15(A,B,k5_finseq_2(u1_struct_0(A),k3_finseq_1(B),k4_struct_0(A))) ) ) ) ) ) )).
fof(d5_matrix16,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ( v3_matrix16(B,A) <=> ? [C] : ( m2_finseq_1(C,A) & k3_finseq_1(C) = k3_finseq_1(B) & r2_matrix16(A,B,C) ) ) ) )).
fof(d5_matrix17,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ( v4_matrix17(B,A) <=> ? [C] : ( m2_finseq_1(C,A) & k3_finseq_1(C) = k1_matrix_0(B) & r1_matrix17(A,B,C) ) ) ) )).
fof(d5_matrix_0,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) => ! [E] : ( m1_subset_1(E,A) => ( E = k3_matrix_0(A,B,C,D) <=> ? [F] : ( m2_finseq_1(F,A) & F = k1_funct_1(B,C) & E = k1_funct_1(F,D) ) ) ) ) ) ) ) )).
fof(d5_matrix_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),B,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => ( E = k5_matrix_1(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( r2_hidden(k4_tarski(F,G),k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(A),E,F,G) = k1_algstr_0(A,k3_matrix_0(u1_struct_0(A),C,F,G),k3_matrix_0(u1_struct_0(A),D,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(d5_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( D = k6_matrix_3(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & k1_matrix_0(D) = k1_matrix_0(B) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(B)) => k3_matrix_0(u1_struct_0(A),D,E,F) = k8_group_1(A,C,k3_matrix_0(u1_struct_0(A),B,E,F)) ) ) ) ) ) ) ) ) ) )).
fof(d5_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => k5_matrix_5(A,B) = k2_matrix_5(k1_matrix_4(k1_complfld,k1_matrix_5(A),k1_matrix_5(B))) ) ) )).
fof(d5_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v2_matrix_6(C,A,B) <=> k4_matrix_0(u1_struct_0(B),C) = C ) ) ) ) )).
fof(d5_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r1_matrix_8(A,B,C,D) <=> ? [E] : ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) & v1_matrix_6(E,A,B) & C = k4_matrix_3(B,k4_matrix_3(B,k1_matrix_6(A,B,E),D),E) ) ) ) ) ) ) )).
fof(d5_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => k5_matrixc1(A,B) = k1_finseqop(k2_numbers,k2_numbers,k2_numbers,k5_binop_2,A,B) ) ) )).
fof(d5_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_matrixj1(C,A) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ( D = k12_matrixj1(A,B,C) <=> ( k3_finseq_1(D) = k1_wsierp_1(k10_matrixj1(A,C)) & k1_matrix_0(D) = k1_wsierp_1(k11_matrixj1(A,C)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => ( ( ~ ( ~ r1_xxreal_0(F,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(k1_matrixj1(k10_matrixj1(A,C),E),1),k11_matrixj1(A,C)))) & r1_xxreal_0(F,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k1_matrixj1(k10_matrixj1(A,C),E),k11_matrixj1(A,C)))) ) => k3_matrix_0(A,D,E,F) = B ) & ( r1_xxreal_0(F,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k1_matrixj1(k10_matrixj1(A,C),E),k11_matrixj1(A,C)))) => ( r1_xxreal_0(F,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(k1_matrixj1(k10_matrixj1(A,C),E),1),k11_matrixj1(A,C)))) | k3_matrix_0(A,D,E,F) = k3_matrix_0(A,k2_matrixj1(A,C,k1_matrixj1(k10_matrixj1(A,C),E)),k7_nat_d(E,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(k1_matrixj1(k10_matrixj1(A,C),E),1),k10_matrixj1(A,C)))),k7_nat_d(F,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(k1_matrixj1(k10_matrixj1(A,C),E),1),k11_matrixj1(A,C))))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_matrixj2,axiom,( ! [A] : ( l6_algstr_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( v7_ordinal1(D) => ( D = k9_matrixj2(A,B,C) <=> ( r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,D),k6_grcat_1(B,B)) & ! [E] : ( v7_ordinal1(E) => ( r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,E),k6_grcat_1(B,B)) => r1_xxreal_0(D,E) ) ) ) ) ) ) ) ) )).
fof(d5_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k5_matrixr1(A,B) = k2_matrixr1(k1_matrix_4(k2_vectsp_1,k1_matrixr1(A),k1_matrixr1(B))) ) ) )).
fof(d5_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => k5_matrlin(A,B,C,D) = k1_finseqop(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_vectsp_1(A,B),C,D) ) ) ) ) )).
fof(d5_matrprob,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v1_matrprob(A) <=> ( ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => r1_xxreal_0(k5_numbers,k1_funct_1(A,B)) ) ) & k18_rvsum_1(A) = 1 ) ) ) )).
fof(d5_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v3_matrtop3(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A))))) & B = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),C) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v1_xreal_0(G) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(F,E) & r1_xxreal_0(F,A) & k1_funct_1(C,D) = k3_matrtop1(A,A,k2_matrtop3(A,G,E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_mcart_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) => ! [E] : ( m1_subset_1(E,A) => ( E = k1_mcart_1(A,B,C,D) <=> ! [F] : ! [G] : ! [H] : ( D = k3_xtuple_0(F,G,H) => E = F ) ) ) ) ) ) ) )).
fof(d5_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_measure1(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_tarski(C,B) => r2_tarski(k5_setfam_1(A,C),B) ) ) ) ) )).
fof(d5_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_measure3(A,B,C),k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,k2_measure3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_measure3(A,B,C),k6_numbers))) ) => ( D = k4_measure3(A,B,C) <=> ! [E] : ( r2_tarski(E,B) => ! [F] : ( m1_measure3(F,A,B,C) => k12_supinf_2(D,k2_xboole_0(E,F)) = k12_supinf_2(C,E) ) ) ) ) ) ) )).
fof(d5_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v4_measure5(A) <=> ? [B] : ( m1_subset_1(B,k6_numbers) & ? [C] : ( v1_xreal_0(C) & A = k4_rcomp_1(B,C) ) ) ) ) )).
fof(d5_measure6,axiom,( ! [A] : ( v3_membered(A) => ( v1_xxreal_2(A) <=> ( v3_xxreal_2(A) & r2_hidden(k3_seq_4(A),A) ) ) ) )).
fof(d5_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_measure8(D,A,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( E = k2_measure8(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => k8_nat_1(k6_numbers,E,F) = k12_supinf_2(C,k1_measure8(A,B,D,F)) ) ) ) ) ) ) )).
fof(d5_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k8_member_1(A,B) = a_2_0_member_1(A,B) ) ) )).
fof(d5_membered,axiom,( ! [A] : ( v5_membered(A) <=> ! [B] : ( r2_hidden(B,A) => v1_int_1(B) ) ) )).
fof(d5_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_memstr_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k4_memstr_0(A,B,C) = k1_funct_1(k2_memstr_0(A,B),C) ) ) ) )).
fof(d5_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => k3_mesfun6c(A,B,C,D,E) = k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,E)) ) ) ) ) ) )).
fof(d5_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k5_mesfun7c(A,B) = k4_mesfunc8(A,k1_mesfun7c(A,B)) ) ) )).
fof(d5_mesfun9c,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_mesfun9c(A,B,C) <=> ( v1_mesfunc8(B,A,k1_numbers) & k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers)) = k1_relset_1(A,C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & ? [G] : ( m1_subset_1(G,A) & r1_xxreal_0(E,F) & r2_tarski(G,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers))) & r1_xxreal_0(D,k9_complex1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A,k1_numbers,B,F),G),k12_supinf_2(C,G)))) ) ) ) ) ) ) ) ) ) )).
fof(d5_mesfunc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( D = k5_mesfunc1(A,B,C) <=> ( k9_xtuple_0(D) = k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k9_xtuple_0(D)) => k12_supinf_2(D,E) = k1_extreal1(k12_supinf_2(B,E),k12_supinf_2(C,E)) ) ) ) ) ) ) ) ) )).
fof(d5_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v3_mesfunc5(B) <=> ! [C] : ~ r1_xxreal_0(k1_funct_1(B,C),k2_supinf_1) ) ) ) )).
fof(d5_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => k2_mesfunc6(A,B,C,D,E) = k1_mesfunc6(A,B,C,k2_partfun1(A,k1_numbers,D,E)) ) ) ) ) ) )).
fof(d5_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( C = k3_mesfunc8(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,D)) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,D))) => k12_supinf_2(k4_mesfunc5(A,k6_numbers,C,D),E) = k8_nat_1(k6_numbers,k3_rinfsup2(k3_mesfunc5(A,B,E)),D) ) ) ) ) ) ) ) ) )).
fof(d5_mesfunc9,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v2_mesfunc9(B,A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( C != D => ! [E] : ~ ( r2_tarski(E,k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,C)),k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,D)))) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,C),E) = k1_supinf_1 & k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,D),E) = k2_supinf_1 ) ) ) ) ) ) )).
fof(d5_metric_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v5_metric_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => r1_xxreal_0(k1_binop_1(B,C,E),k2_xcmplx_0(k1_binop_1(B,C,D),k1_binop_1(B,D,E))) ) ) ) ) ) )).
fof(d5_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k2_metric_2(A)) => ! [C] : ( m1_subset_1(C,k2_metric_2(A)) => ! [D] : ( v1_xreal_0(D) => ( r4_metric_2(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(E,B) & r2_tarski(F,C) ) => k1_metric_1(A,E,F) = D ) ) ) ) ) ) ) ) )).
fof(d5_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_metric_6(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(D,E) => r2_tarski(k8_nat_1(u1_struct_0(A),C,E),B) ) ) ) ) ) ) ) )).
fof(d5_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ( v3_mfold_0(A) <=> k1_mfold_0(A) = u1_struct_0(A) ) ) )).
fof(d5_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_pre_topc(C,k15_euclid(A)) => ( r2_tarski(B,k3_topreal9(A,k4_struct_0(k15_euclid(A)),1)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))))))) ) => ( D = k5_mfold_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( r1_struct_0(C,E) => k1_funct_1(D,E) = k1_rlvect_1(k15_euclid(A),k5_algstr_0(k15_euclid(A),E,k1_rlvect_1(k15_euclid(A),B,k22_rvsum_1(E,B))),k7_xcmplx_0(1,k6_xcmplx_0(1,k22_rvsum_1(E,B)))) ) ) ) ) ) ) ) ) )).
fof(d5_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( r2_midsp_1(A,B,C) <=> r1_midsp_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),B),k3_domain_1(u1_struct_0(A),u1_struct_0(A),B),k2_domain_1(u1_struct_0(A),u1_struct_0(A),C),k3_domain_1(u1_struct_0(A),u1_struct_0(A),C)) ) ) ) ) )).
fof(d5_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_midsp_1(C) & l1_midsp_3(C,k1_nat_1(A,2)) ) => ( r2_midsp_3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m2_finseq_2(F,u1_struct_0(C),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(C))) => ( k1_funct_1(F,B) = E => k4_midsp_3(A,C,D,k6_midsp_3(A,C,F,B,k3_midsp_1(C,D,E))) = k3_midsp_1(C,D,k4_midsp_3(A,C,D,F)) ) ) ) ) ) ) ) ) )).
fof(d5_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( C = k3_mmlquer2(A,B) <=> ! [D] : ! [E] : ( r1_mmlquery(D,E,C) <=> ( r2_tarski(D,A) & r2_tarski(E,A) & ~ r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(B,D)) ) ) ) ) ) )).
fof(d5_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( l1_mod_2(B,A) => k4_mod_2(A,B) = u3_mod_2(A,B) ) ) )).
fof(d5_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))) ) => k6_mod_4(A,B,C) = k1_mod_4(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),C) ) ) ) )).
fof(d5_modal_1,axiom,( ! [A] : ( m1_trees_3(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) => ( A = k6_modal_1 <=> ( ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(B,A) => v1_finset_1(B) ) ) & ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => ( r2_tarski(B,A) <=> ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ( r1_xxreal_0(k5_modal_1(k9_xtuple_0(B),C),2) & ~ ( k5_modal_1(k9_xtuple_0(B),C) = k5_numbers & k3_trees_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),B,C) != k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers) & ! [D] : ( v7_ordinal1(D) => k3_trees_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),B,C) != k4_tarski(3,D) ) ) & ~ ( k5_modal_1(k9_xtuple_0(B),C) = 1 & k3_trees_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),B,C) != k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers) & k3_trees_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),B,C) != k1_domain_1(k4_ordinal1,k4_ordinal1,1,1) ) & ( k5_modal_1(k9_xtuple_0(B),C) = 2 => k3_trees_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),B,C) = k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers) ) ) ) ) ) ) ) ) )).
fof(d5_modcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_group_1(C) & l6_algstr_0(C) ) => ( r1_modcat_1(A,B,C) <=> ? [D] : ? [E] : ( A = k4_tarski(D,E) & ? [F] : ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v7_vectsp_1(F,C) & v8_vectsp_1(F,C) & v9_vectsp_1(F,C) & v10_vectsp_1(F,C) & v11_vectsp_1(F,C) & l1_vectsp_1(F,C) & B = F & D = g2_algstr_0(u1_struct_0(F),u1_algstr_0(F),u2_struct_0(F)) & E = u1_vectsp_1(C,F) ) ) ) ) )).
fof(d5_modelc_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k5_modelc_2(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,2),A),B) ) ) )).
fof(d5_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_tarski(C,u2_modelc_3(A,B)) => ! [D] : ( ( v1_modelc_3(D,A) & l1_modelc_3(D,A) ) => ( D = k6_modelc_3(A,B,C) <=> ( u1_modelc_3(A,D) = k2_xboole_0(u1_modelc_3(A,B),k1_tarski(C)) & u2_modelc_3(A,D) = k2_xboole_0(k7_subset_1(k1_modelc_3(A),u2_modelc_3(A,B),k1_tarski(C)),k7_subset_1(k1_modelc_3(C),k3_modelc_3(C),u1_modelc_3(A,B))) & u3_modelc_3(A,D) = u3_modelc_3(A,B) ) ) ) ) ) ) ) )).
fof(d5_moebius1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( B = k4_moebius1(A) <=> ( k13_pre_poly(B) = k9_subset_1(k4_ordinal1,A,k1_moebius1) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k13_pre_poly(B)) => k1_funct_1(B,C) = k2_moebius1(C) ) ) ) ) ) )).
fof(d5_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) => ( B = k5_moebius2(A) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,B) <=> ( ~ v1_moebius1(C) & ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ( r1_nat_d(D,C) => r1_xxreal_0(D,A) ) ) ) ) ) ) ) ) )).
fof(d5_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v5_monoid_0(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & ? [F] : ( m1_subset_1(F,A) & k4_binop_1(A,B,C,E) = D & k4_binop_1(A,B,F,C) = D ) ) ) ) ) ) ) )).
fof(d5_monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => k16_monoid_1(A,B) = k14_monoid_1(k6_domain_1(A,B),A) ) ) )).
fof(d5_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msafree(C,A,B) => ( v1_msafree(C,A,B) <=> ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),C,u3_msualg_1(A,D)) => ? [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,D)) & r1_msualg_3(A,B,D,F) & r8_pboole(u1_struct_0(A),k1_msafree(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,D),C,F),E) ) ) ) ) ) ) ) )).
fof(d5_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_msafree2(A)) & v1_funct_1(C) & v1_partfun1(C,k2_msafree2(A)) ) => ( m1_msafree2(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k2_msafree2(A)) => r2_tarski(k1_funct_1(C,D),k1_funct_1(u3_msualg_1(A,B),D)) ) ) ) ) ) ) )).
fof(d5_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B))) => ( D = k5_msafree3(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = a_4_0_msafree3(A,B,C,E) ) ) ) ) ) ) )).
fof(d5_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ( v4_msafree4(C,A,B) <=> ? [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & r2_msualg_3(A,B,C,D) ) ) ) ) ) )).
fof(d5_msalimit,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_msalimit(C,A,B) => ! [D] : ( m2_msalimit(D,A,B,C) => ! [E] : ( m2_msalimit(E,A,B,C) => ( E = k2_msalimit(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_orders_2(A,G,F) => k1_binop_1(E,G,F) = k15_funcop_1(G,F,k2_msualg_3(u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F))),k3_msualg_3(u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,G)),k2_msualg_3(u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F))),k1_msalimit(A,B,C,D,F,G))) ) ) ) ) ) ) ) ) ) )).
fof(d5_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k7_msaterm(A,B,C) <=> r2_tarski(C,k7_msafree(A,B,D)) ) ) ) ) ) )).
fof(d5_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ( v4_msscyc_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_finset_1(a_2_0_msscyc_1(A,B)) ) ) ) )).
fof(d5_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v4_mssubfam(C,A,B) <=> ! [D] : ( m3_pboole(D,A,k1_mboolean(A,B)) => ( r2_pboole(A,D,C) => r1_pboole(A,k4_mssubfam(A,B,D),C) ) ) ) ) ) )).
fof(d5_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( l3_msualg_1(C,A) => k4_msualg_1(A,B,C) = k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B) ) ) ) )).
fof(d5_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( r1_msualg_2(A,B,C,D) <=> r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A,C,B),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),D)),C))),k1_funct_1(k3_relat_1(u2_msualg_1(A),D),C)) ) ) ) ) ) )).
fof(d5_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,D,B)) => ~ ( k3_msualg_1(A,D,B) != k1_xboole_0 & k3_msualg_1(A,D,C) != k1_xboole_0 & k5_msualg_3(A,B,C,D,E,F) != k1_funct_1(k2_pralg_2(k3_relat_1(k1_msualg_1(A,D),E)),F) ) ) ) ) ) ) ) )).
fof(d5_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) => k3_msualg_4(A,B,C,D,E) = k6_eqrel_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k2_msualg_4(A,B,C,D),E) ) ) ) ) ) )).
fof(d5_msualg_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) ) => ( C = k5_msualg_5(A,B) <=> ( ! [D] : ( r2_tarski(D,u1_struct_0(C)) <=> ( v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) ) & ! [D] : ( ( v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) => ! [E] : ( ( v1_msualg_4(E,A,B) & m1_msualg_4(E,A,B,B) ) => ( k1_binop_1(u1_lattices(C),D,E) = k3_pboole(A,D,E) & k1_binop_1(u2_lattices(C),D,E) = k4_msualg_5(A,B,D,E) ) ) ) ) ) ) ) ) )).
fof(d5_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( l3_msualg_1(D,A) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r1_msualg_6(A,B,C,D,E) <=> ? [F] : ( m1_subset_1(F,u4_struct_0(A)) & k2_msualg_1(A,F) = C & ? [G] : ( m1_subset_1(G,k4_ordinal1) & r2_tarski(G,k4_finseq_1(k1_msualg_1(A,F))) & k7_partfun1(u1_struct_0(A),k1_msualg_1(A,F),G) = B & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & r2_tarski(H,k3_msualg_1(A,F,D)) & E = k4_msualg_6(A,F,G,D,H) ) ) ) ) ) ) ) ) ) )).
fof(d5_mycielsk,axiom,( ! [A] : ( ( v2_mycielsk(A) & l1_orders_2(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k3_mycielsk(A) <=> ( ? [C] : ( v1_finset_1(C) & v5_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) & k4_card_1(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v5_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) ) => r1_xxreal_0(B,k4_card_1(C)) ) ) ) ) ) )).
fof(d5_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( v5_nagata_1(B,A) <=> ( v2_nagata_1(B,A) & v1_tops_2(k2_nagata_1(A,B),A) & v1_cantor_1(k2_nagata_1(A,B),A) & m1_subset_1(k2_nagata_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(d5_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( v1_xcmplx_0(C) => ( C = k7_nat_3(A,B) <=> ? [D] : ( m2_finseq_1(D,k2_numbers) & C = k20_rvsum_1(D) & D = k3_relat_1(k19_finseq_1(k13_pre_poly(B)),B) ) ) ) ) )).
fof(d5_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_nat_6(A) <=> ? [B] : ( v7_ordinal1(B) & ~ v1_abian(B) & ? [C] : ( v7_ordinal1(C) & v2_xxreal_0(C) & ~ r1_xxreal_0(k1_newton(2,C),B) & A = k2_xcmplx_0(k3_xcmplx_0(B,k1_newton(2,C)),1) ) ) ) ) )).
fof(d5_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k3_int_2(A,B) <=> ( r1_nat_d(C,A) & r1_nat_d(C,B) & ! [D] : ( v7_ordinal1(D) => ( ( r1_nat_d(D,A) & r1_nat_d(D,B) ) => r1_nat_d(D,C) ) ) ) ) ) ) ) )).
fof(d5_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r1_nattra_1(A,B,C,D) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k2_nattra_1(A,B,C,D,E,F) = k3_funct_2(u1_struct_0(A),u4_struct_0(B),E,F) ) ) ) ) ) ) ) )).
fof(d5_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => k5_nbvectsp(A) = g1_vectsp_1(k2_bspace,k4_finseq_2(A,k5_margrel1),k1_nbvectsp(A),k2_nbvectsp(A),k4_nbvectsp(A)) ) )).
fof(d5_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ncfcont1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),E),k1_relset_1(u1_struct_0(A),C)) & v9_clvect_1(E,A) & k7_clvect_1(A,E) = D ) => ( v9_clvect_1(k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),B) & k7_partfun1(u1_struct_0(B),C,D) = k7_clvect_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C)) ) ) ) ) ) ) ) ) ) )).
fof(d5_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( r5_ncfcont2(A,B,C) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),C)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(F,A) & r2_tarski(G,A) & ~ r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,F,G))) & r1_xxreal_0(D,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,C,F),k7_partfun1(k1_numbers,C,G)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_ndiff_1(C,A,B) <=> ( v1_partfun1(C,u1_struct_0(A)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_ndiff_1(D,A,k4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v12_struct_0(D,k4_ordinal1,A) => ( v3_normsp_1(k1_ndiff_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C),k37_valued_1(k4_ordinal1,k1_numbers,k5_normsp_0(A,D))),B) & k5_normsp_1(B,k1_ndiff_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C),k37_valued_1(k4_ordinal1,k1_numbers,k5_normsp_0(A,D)))) = k4_struct_0(B) ) ) ) ) ) ) ) ) )).
fof(d5_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( r2_ndiff_3(A,B,C) <=> ( r1_tarski(C,k1_relset_1(k1_numbers,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => r1_ndiff_3(A,k2_partfun1(k1_numbers,u1_struct_0(A),B,C),D) ) ) ) ) ) ) )).
fof(d5_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_ndiff_4(B,A) <=> r2_ndiff_4(A,B,k1_relset_1(k1_numbers,B)) ) ) ) )).
fof(d5_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k5_ndiff_6(A,B,C,D) <=> ( k9_xtuple_0(E) = k4_ordinal1 & k1_funct_1(E,k5_numbers) = k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,k2_xcmplx_0(F,1)) = k4_ndiff_1(A,k3_ndiff_6(A,B,F),k4_ndiff_6(A,k3_ndiff_6(A,B,F),k1_funct_1(E,F)),D) ) ) ) ) ) ) ) ) )).
fof(d5_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( r2_ndiff_7(A,B,C,D,E) <=> r1_ndiff_1(B,C,k1_partfun1(u1_struct_0(B),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C),k2_ndiff_7(A,B,D),E),k6_ndiff_7(A,B,D)) ) ) ) ) ) ) )).
fof(d5_neckla_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k3_neckla_2)) => ( A = k4_neckla_2 <=> ( ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ( ( v3_card_1(u1_struct_0(B),1) & r2_tarski(u1_struct_0(B),k13_classes2) ) => r2_tarski(B,A) ) ) & ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( ( r1_xboole_0(u1_struct_0(B),u1_struct_0(C)) & r2_tarski(B,A) & r2_tarski(C,A) ) => ( r2_tarski(k1_neckla_2(B,C),A) & r2_tarski(k2_neckla_2(B,C),A) ) ) ) ) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_neckla_2)) => ( ( ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ( ( v3_card_1(u1_struct_0(C),1) & r2_tarski(u1_struct_0(C),k13_classes2) ) => r2_tarski(C,B) ) ) & ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_orders_2(D) & l1_orders_2(D) ) => ( ( r1_xboole_0(u1_struct_0(C),u1_struct_0(D)) & r2_tarski(C,B) & r2_tarski(D,B) ) => ( r2_tarski(k1_neckla_2(C,D),B) & r2_tarski(k2_neckla_2(C,D),B) ) ) ) ) ) => r1_tarski(A,B) ) ) ) ) ) )).
fof(d5_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_necklace(A) <=> ! [B] : ~ ( r2_tarski(B,u1_struct_0(A)) & r2_hidden(k4_tarski(B,B),u1_orders_2(A)) ) ) ) )).
fof(d5_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ! [C] : ( r2_net_1(A,B,C) <=> ( r2_hidden(k4_tarski(B,C),k1_net_1(A)) & r2_tarski(B,u4_struct_0(A)) ) ) ) )).
fof(d5_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k6_newton(A) <=> ( k3_finseq_1(B) = k1_nat_1(A,1) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & D = k6_xcmplx_0(C,1) ) => k1_funct_1(B,C) = k3_newton(D,A) ) ) ) ) ) ) ) )).
fof(d5_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_nfcont_1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),E),k1_relset_1(u1_struct_0(A),C)) & v3_normsp_1(E,A) & k5_normsp_1(A,E) = D ) => ( v3_normsp_1(k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),B) & k7_partfun1(u1_struct_0(B),C,D) = k5_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C)) ) ) ) ) ) ) ) ) ) )).
fof(d5_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_nfcont_4(B,A) <=> ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k1_relset_1(k1_numbers,B)) => r1_nfcont_4(A,B,C) ) ) ) ) ) )).
fof(d5_normsp_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_normsp_0(A) ) => ( v3_normsp_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k2_normsp_0(A,B) = k5_numbers => B = k4_struct_0(A) ) ) ) ) )).
fof(d5_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k4_normsp_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k1_rlvect_1(A,k1_normsp_0(A,B,E),C) ) ) ) ) ) ) )).
fof(d5_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_normsp_3(A,B) = g1_normsp_1(u1_struct_0(k1_rlvect_3(A,B)),k4_struct_0(k1_rlvect_3(A,B)),u1_algstr_0(k1_rlvect_3(A,B)),u1_rlvect_1(k1_rlvect_3(A,B)),k2_normsp_3(A,u1_struct_0(k1_rlvect_3(A,B)))) ) ) )).
fof(d5_numbers,axiom,( k6_numbers = k2_xboole_0(k1_numbers,k2_tarski(k1_numbers,k4_tarski(k5_numbers,k1_numbers))) )).
fof(d5_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => k7_openlatt(A) = a_1_0_openlatt(A) ) )).
fof(d5_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k2_oppcat_1(A))) => k6_oppcat_1(A,B) = k5_oppcat_1(k2_oppcat_1(A),B) ) ) )).
fof(d5_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( r2_tarski(C,k1_ordeq_01(A,B)) => ! [D] : ( ( v1_funct_1(D) & v1_nfcont_3(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( D = k4_ordeq_01(A,B,C) <=> ( D = C & k1_relset_1(k1_numbers,D) = A ) ) ) ) ) ) )).
fof(d5_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_orders_1(A) <=> ( v1_relat_2(A) & v8_relat_2(A) & v4_relat_2(A) ) ) ) )).
fof(d5_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) <=> r2_hidden(k4_tarski(B,C),u1_orders_2(A)) ) ) ) ) )).
fof(d5_orders_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_orders_2(A,D,E) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( F = k1_funct_1(C,D) & G = k1_funct_1(C,E) ) => r1_orders_2(B,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r1_ordinal1(A,B) <=> ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => r2_tarski(C,B) ) ) ) ) ) )).
fof(d5_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => k4_ordinal2(A) = k3_ordinal2(k10_xtuple_0(A)) ) )).
fof(d5_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(B,A) => ( C = k5_ordinal3(A,B) <=> A = k10_ordinal2(B,C) ) ) & ( ~ r1_ordinal1(B,A) => ( C = k5_ordinal3(A,B) <=> C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d5_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( v4_ordinal5(A) <=> k12_ordinal2(k4_ordinal1,A) = A ) ) )).
fof(d5_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) => k1_ordinal6(A) = k2_wellord2(k1_wellord2(A)) ) )).
fof(d5_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k2_osafree(A,B) = g1_lang1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k1_osafree(A,B)) ) ) )).
fof(d5_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v3_osalg_1(B) & v4_osalg_1(B) & l3_osalg_1(B) ) => ( B = k1_osalg_1(A) <=> ( u1_struct_0(A) = u1_struct_0(B) & k6_partfun1(u1_struct_0(A)) = u1_orders_2(B) & u4_struct_0(A) = u4_struct_0(B) & k6_partfun1(u4_struct_0(A)) = u1_osalg_1(B) & r1_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),u4_struct_0(B),k3_finseq_2(u1_struct_0(B)),u1_msualg_1(A),u1_msualg_1(B)) & r1_funct_2(u4_struct_0(A),u1_struct_0(A),u4_struct_0(B),u1_struct_0(B),u2_msualg_1(A),u2_msualg_1(B)) ) ) ) ) )).
fof(d5_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ( C = k3_osalg_2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k1_osalg_2(A,B,D) ) ) ) ) ) )).
fof(d5_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => k2_osalg_4(A) = k8_eqrel_1(u1_struct_0(A),k1_osalg_4(A)) ) )).
fof(d5_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( D = k5_partfun1(A,B,C) <=> ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & F = E & v1_partfun1(F,A) & r1_partfun1(C,F) ) ) ) ) )).
fof(d5_partfun3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k1_partfun3(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k3_square_1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d5_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ( D = k3_partit1(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> r2_partit1(A,B,C,E) ) ) ) ) ) ) )).
fof(d5_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k3_pboole(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d5_pcomps_1,axiom,( ! [A] : ( l1_metric_1(A) => k3_pcomps_1(A) = g1_pre_topc(u1_struct_0(A),k2_pcomps_1(A)) ) )).
fof(d5_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k5_pdiff_1(A,B) <=> ( k9_xtuple_0(C) = k1_numbers & ! [D] : ( m1_subset_1(D,k1_numbers) => k1_funct_1(C,D) = k1_finseq_7(k1_numbers,B,A,D) ) ) ) ) ) ) )).
fof(d5_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r4_pdiff_3(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k10_finseq_1(C,D) & ? [E] : ( m1_rcomp_1(E,D) & r1_tarski(E,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B))) & ? [F] : ( v1_funct_1(F) & v3_fdiff_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [G] : ( v1_funct_1(G) & v2_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B),H),k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B),D)) = k2_xcmplx_0(k1_funct_1(F,k6_xcmplx_0(H,D)),k1_funct_1(G,k6_xcmplx_0(H,D))) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r5_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,D) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,k1_pdiff_3(2,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(2,3,A),B),I),k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(2,3,A),B),D)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,D)),k1_funct_1(H,k6_xcmplx_0(I,D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( r2_pdiff_7(A,B,C,D,E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( F = k2_pdiff_7(A,B,C,D,E) <=> ( k1_relset_1(k1_euclid(A),F) = E & ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) => ( r2_tarski(G,E) => k7_partfun1(k1_euclid(B),F,G) = k11_pdiff_1(A,B,C,D,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r3_pdiff_9(A,B,C,D) <=> ( r1_tarski(B,k1_relset_1(k1_euclid(A),D)) & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r2_tarski(E,B) => r3_pdiff_1(A,C,k2_partfun1(k1_euclid(A),k1_numbers,D,B),E) ) ) ) ) ) ) ) )).
fof(d5_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v4_pencil_1(A) <=> m1_subset_1(u1_struct_0(A),u1_pre_topc(A)) ) ) )).
fof(d5_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_pencil_1(A,B,D)),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),D)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A,B,D)),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),D)))))) ) => ( E = k4_pencil_3(A,B,C,D) <=> ! [F] : ( ( ~ v13_pencil_1(F) & v16_pencil_1(F,A) & m3_pboole(F,A,k12_pralg_1(A,B)) ) => ( ( m1_pencil_2(k4_card_3(F),A,B) & k3_pencil_1(A,F) = D ) => r1_funct_2(u1_struct_0(k2_pencil_1(A,B,D)),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),D))),u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,F))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,F)))),E,k3_pencil_3(A,B,C,F)) ) ) ) ) ) ) ) ) ) )).
fof(d5_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => k5_pencil_4(A,B,C) = g1_pre_topc(k2_vectsp_9(A,B,C),k4_pencil_4(A,B,C)) ) ) ) )).
fof(d5_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k7_petri(A,B) = a_2_1_petri(A,B) ) ) )).
fof(d5_petri_3,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) ) => ! [C] : ( m1_petri_3(C,A,B) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k2_petri_3(A)) & v1_funct_1(D) & v1_partfun1(D,k2_petri_3(A)) ) => ( m2_petri_3(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ~ ( E != F & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k8_petri_2(k1_petri_3(A,B,E)),u1_struct_0(k1_petri_3(A,B,F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(k1_petri_3(A,B,E)),u1_struct_0(k1_petri_3(A,B,F))))) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ~ ( H = k1_funct_1(D,k1_domain_1(A,A,E,F)) & G = k1_funct_1(C,k1_domain_1(A,A,E,F)) & k9_xtuple_0(H) = k8_petri_2(k1_petri_3(A,B,E)) & ! [I] : ( m1_subset_1(I,u4_struct_0(k1_petri_3(A,B,E))) => ( v2_petri_2(I,k1_petri_3(A,B,E)) => ( v1_funct_1(k1_funct_1(H,I)) & v1_funct_2(k1_funct_1(H,I),k2_petri_2(u1_petri_2(k1_petri_3(A,B,E)),k8_petri(k1_petri_3(A,B,E),k6_domain_1(u4_struct_0(k1_petri_3(A,B,E)),I))),k2_petri_2(u1_petri_2(k1_petri_3(A,B,E)),k1_relset_2(k8_petri_2(k1_petri_3(A,B,E)),u1_struct_0(k1_petri_3(A,B,F)),G,I))) & m1_subset_1(k1_funct_1(H,I),k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(k1_petri_3(A,B,E)),k8_petri(k1_petri_3(A,B,E),k6_domain_1(u4_struct_0(k1_petri_3(A,B,E)),I))),k2_petri_2(u1_petri_2(k1_petri_3(A,B,E)),k1_relset_2(k8_petri_2(k1_petri_3(A,B,E)),u1_struct_0(k1_petri_3(A,B,F)),G,I))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_petri_df,axiom,( ! [A] : ( l1_petri(A) => k4_petri_df(A) = k9_funct_2(u1_struct_0(A),k4_ordinal1) ) )).
fof(d5_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r2_pnproc_1(A,C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( D = k3_pnproc_1(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k6_xcmplx_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) ) )).
fof(d5_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_polyalg1(D,A) & m1_polyalg1(D,A,B) ) => ( D = k2_polyalg1(A,B,C) <=> ( r1_tarski(C,u1_struct_0(D)) & ! [E] : ( m1_polyalg1(E,A,B) => ( r1_tarski(C,u1_struct_0(E)) => r1_tarski(u1_struct_0(D),u1_struct_0(E)) ) ) ) ) ) ) ) ) )).
fof(d5_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) = k5_numbers => ( E = k5_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & H = k1_polyeq_5(2,k6_xcmplx_0(k1_newton(F,2),G)) & E = k6_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k6_xcmplx_0(F,H)))),k7_xcmplx_0(D,4)) ) ) ) ) ) & ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) != k5_numbers => ( E = k5_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & ? [I] : ( v1_xcmplx_0(I) & ? [J] : ( v1_xcmplx_0(J) & ? [K] : ( v1_xcmplx_0(K) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)),64) & H = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & I = k1_polyeq_5(2,k2_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & J = k1_polyeq_5(2,k3_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & K = k4_xcmplx_0(k7_xcmplx_0(G,k3_xcmplx_0(I,J))) & E = k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(I,J),K),k7_xcmplx_0(D,4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_finset_1(C) => ( C = k5_polyform(A,B) <=> ( ( ~ r1_xxreal_0(k4_xcmplx_0(1),B) => C = k1_xboole_0 ) & ( B = k4_xcmplx_0(1) => C = k1_tarski(k1_xboole_0) ) & ~ ( ~ r1_xxreal_0(B,k4_xcmplx_0(1)) & ~ r1_xxreal_0(k4_polyform(A),B) & C != k10_xtuple_0(k1_funct_1(u1_polyform(A),k2_xcmplx_0(B,1))) ) & ( B = k4_polyform(A) => C = k1_tarski(A) ) & ( ~ r1_xxreal_0(B,k4_polyform(A)) => C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d5_polynom1,axiom,( ! [A] : ( l2_struct_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) ) => ( v1_polynom1(B,A) <=> v1_finset_1(k2_polynom1(A,B)) ) ) ) )).
fof(d5_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)))) ) => ( D = k3_polynom2(A,B,C) <=> ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k1_funct_1(D,E) = k2_polynom2(A,B,E,C) ) ) ) ) ) ) )).
fof(d5_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( m2_finseq_1(E,k4_finseq_2(3,k4_ordinal1)) => ! [F] : ( m2_finseq_2(F,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( F = k7_polynom3(A,B,C,D,E) <=> ( k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(E)) => k1_funct_1(F,G) = k6_algstr_0(A,k6_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k7_partfun1(k4_ordinal1,k9_pre_poly(k4_ordinal1,k4_ordinal1,k4_finseq_2(3,k4_ordinal1),E,G),1)),k3_funct_2(k4_ordinal1,u1_struct_0(A),C,k7_partfun1(k4_ordinal1,k9_pre_poly(k4_ordinal1,k4_ordinal1,k4_finseq_2(3,k4_ordinal1),E,G),2))),k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k7_partfun1(k4_ordinal1,k9_pre_poly(k4_ordinal1,k4_ordinal1,k4_finseq_2(3,k4_ordinal1),E,G),3))) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_polynom5(A,B,C) = k14_funct_7(k4_ordinal1,u1_struct_0(A),k14_funct_7(k4_ordinal1,u1_struct_0(A),k9_polynom3(A),k5_numbers,B),1,C) ) ) ) )).
fof(d5_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( D = k2_polynom7(A,B,C) <=> ~ ( k4_polynom1(A,B,C,D) = k4_struct_0(B) & ~ ( k3_polynom1(k15_pre_poly(A),B,C) = k1_xboole_0 & D = k16_pre_poly(A) ) ) ) ) ) ) )).
fof(d5_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k4_polynom8(A,B) <=> ( ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(B),D) => k8_nat_1(u1_struct_0(A),C,D) = k3_matrix_0(u1_struct_0(A),B,k1_nat_1(D,1),1) ) ) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_finseq_1(B),D) => k8_nat_1(u1_struct_0(A),C,D) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(d5_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( r3_polyred(A,B,C,D,E,F,G) <=> ( D != k8_polynom1(A,C) & E != k8_polynom1(A,C) & r2_tarski(G,k3_polynom1(k15_pre_poly(A),C,D)) & ? [H] : ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & v4_valued_0(H) & v2_pre_poly(H) & k11_pre_poly(A,H,k3_termord(A,B,C,E)) = G & r2_funct_2(k15_pre_poly(A),u1_struct_0(C),F,k7_polynom1(A,C,D,k5_polynom7(A,C,k1_polyred(A,H,C,E),k12_algstr_0(C,k4_polynom1(A,C,D,G),k4_termord(A,B,C,E))))) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v2_poset_1(B,A,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k3_poset_1(A,B) <=> ( r2_abian(u1_struct_0(A),C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_abian(u1_struct_0(A),D,B) => r3_orders_2(A,C,D) ) ) ) ) ) ) ) ) )).
fof(d5_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ( D = k6_poset_2(A,B,C) <=> ( k1_funct_1(D,A) = B & ! [E] : ( m1_subset_1(E,u1_struct_0(k4_poset_2(A))) => ( E != A => k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B)),D,E) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(d5_pralg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) => k5_pralg_1(A,B) = g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B)) ) ) ) )).
fof(d5_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m1_pralg_2(C,A,B) <=> ! [D] : ( r2_hidden(D,A) => ( v4_msualg_1(k1_funct_1(C,D),B) & l3_msualg_1(k1_funct_1(C,D),B) ) ) ) ) ) )).
fof(d5_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_pralg_3(D,A,C,B) => ! [E] : ( m1_pralg_2(E,A,B) => ( E = k4_pralg_3(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,A) => ~ ( r2_tarski(F,A) & ! [G] : ( ~ v1_xboole_0(G) => ! [H] : ( m1_pralg_2(H,G,B) => ~ ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & k5_pralg_2(A,B,E,F) = k14_pralg_2(G,B,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k11_pre_poly(A,B,C) <=> ! [E] : k1_funct_1(D,E) = k2_xcmplx_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) )).
fof(d5_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_pre_topc(C) & m1_pre_topc(C,A) ) => ( C = k1_pre_topc(A,B) <=> k2_struct_0(C) = B ) ) ) ) )).
fof(d5_prefer_1,axiom,( ! [A] : ! [B] : ( ( v3_prefer_1(B) & l3_prefer_1(B) ) => ( B = k3_prefer_1(A) <=> ( u1_struct_0(B) = A & u1_prefer_1(B) = k1_xboole_0 & u1_pcs_0(B) = k6_partfun1(A) & u1_orders_2(B) = k1_xboole_0 ) ) ) )).
fof(d5_prgcor_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( v1_int_1(C) => ( r3_prgcor_2(A,B,C) <=> ( k1_afinsq_1(B) = C & k1_afinsq_1(A) = C & ? [D] : ( v1_int_1(D) & k1_funct_1(B,k5_numbers) = k1_funct_1(A,k5_numbers) & D = k1_funct_1(A,k5_numbers) & ( D != k5_numbers => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) ) => k1_funct_1(B,E) = k4_xcmplx_0(k1_funct_1(A,E)) ) ) ) ) ) ) ) ) ) )).
fof(d5_prob_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v3_prob_1(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d5_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ! [F] : ( m1_prob_1(F,A,B) => ( r2_prob_2(A,B,C,D,E,F) <=> ( k3_funct_2(B,k1_numbers,C,k5_prob_1(A,B,k5_prob_1(A,B,D,E),F)) = k4_real_1(k4_real_1(k3_funct_2(B,k1_numbers,C,D),k3_funct_2(B,k1_numbers,C,E)),k3_funct_2(B,k1_numbers,C,F)) & k3_funct_2(B,k1_numbers,C,k5_prob_1(A,B,D,E)) = k4_real_1(k3_funct_2(B,k1_numbers,C,D),k3_funct_2(B,k1_numbers,C,E)) & k3_funct_2(B,k1_numbers,C,k5_prob_1(A,B,D,F)) = k4_real_1(k3_funct_2(B,k1_numbers,C,D),k3_funct_2(B,k1_numbers,C,F)) & k3_funct_2(B,k1_numbers,C,k5_prob_1(A,B,E,F)) = k4_real_1(k3_funct_2(B,k1_numbers,C,E),k3_funct_2(B,k1_numbers,C,F)) ) ) ) ) ) ) ) ) )).
fof(d5_prob_3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => ! [C] : ( m2_finseq_1(C,k9_setfam_1(A)) => ( C = k6_prob_3(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => k4_prob_3(A,C,D) = k3_subset_1(A,k4_prob_3(A,B,D)) ) ) ) ) ) ) )).
fof(d5_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( D = k4_prob_4(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( r2_tarski(F,B) & ? [G] : ( m1_prob_4(G,A,B,C) & E = k2_xboole_0(F,G) ) ) ) ) ) ) ) ) )).
fof(d5_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( r4_projpl_1(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,u2_incsp_1(A)) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) ) ) ) ) ) ) )).
fof(d5_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( C = k6_prvect_1(A,B) <=> ( g2_algstr_0(u1_struct_0(C),u1_algstr_0(C),u2_struct_0(C)) = k4_prvect_1(A,B) & u1_vectsp_1(A,C) = k5_prvect_1(A,B) ) ) ) ) ) )).
fof(d5_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( m1_prvect_1(B,k4_prvect_2(A)) => ( B = k6_prvect_2(A) <=> ( k3_finseq_1(B) = k3_finseq_1(k4_prvect_2(A)) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(k4_prvect_2(A))) => r1_funct_2(k2_zfmisc_1(k1_funct_1(k4_prvect_2(A),C),k1_funct_1(k4_prvect_2(A),C)),k1_funct_1(k4_prvect_2(A),C),k2_zfmisc_1(u1_struct_0(k5_prvect_2(A,C)),u1_struct_0(k5_prvect_2(A,C))),u1_struct_0(k5_prvect_2(A,C)),k9_prvect_1(k4_prvect_2(A),B,C),u1_algstr_0(k5_prvect_2(A,C))) ) ) ) ) ) )).
fof(d5_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => k5_prvect_3(A,B) = g1_rlvect_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k3_prvect_3(A,B),k1_prvect_3(A,B),k2_prvect_3(A,B)) ) ) )).
fof(d5_pscomp_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k15_euclid(2)),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),k1_numbers))) ) => ( A = k4_pscomp_1 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,A,B) = k17_euclid(B) ) ) ) )).
fof(d5_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( C = k7_pua2mss1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(k4_tarski(D,E),B) & ! [F] : ( m1_pua2mss1(F,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ( r2_tarski(k7_finseq_1(k7_finseq_1(G,k12_finseq_1(u1_struct_0(A),D)),H),k1_relset_1(k3_finseq_2(u1_struct_0(A)),F)) & r2_tarski(k7_finseq_1(k7_finseq_1(G,k12_finseq_1(u1_struct_0(A),E)),H),k1_relset_1(k3_finseq_2(u1_struct_0(A)),F)) ) => r2_hidden(k4_tarski(k1_funct_1(F,k7_finseq_1(k7_finseq_1(G,k12_finseq_1(u1_struct_0(A),D)),H)),k1_funct_1(F,k7_finseq_1(k7_finseq_1(G,k12_finseq_1(u1_struct_0(A),E)),H))),B) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ( m1_pythtrip(A) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( m1_subset_1(D,k4_ordinal1) & r1_xxreal_0(C,D) & A = k1_enumset1(k3_xcmplx_0(B,k6_xcmplx_0(k1_pepin(D),k1_pepin(C))),k2_nat_1(B,k2_nat_1(k2_nat_1(2,C),D)),k2_nat_1(B,k1_nat_1(k1_pepin(D),k1_pepin(C)))) ) ) ) ) ) )).
fof(d5_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => k4_qc_lang1(A) = k2_zfmisc_1(k1_tarski(5),k1_qc_lang1(A)) ) )).
fof(d5_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k5_qc_lang2(A,B,C) = k13_qc_lang1(A,k15_qc_lang1(A,B,k13_qc_lang1(A,C))) ) ) ) )).
fof(d5_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k5_qc_lang3(A,B) = k4_qc_lang3(A,k5_qc_lang1(A),B) ) ) )).
fof(d5_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_qc_lang4(C,A,B) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ( m2_qc_lang4(D,A,B,C) <=> k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),D) = C ) ) ) ) ) )).
fof(d5_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => k3_qc_trans(A,B,C,D) = D ) ) ) ) )).
fof(d5_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) ) => ( v7_quantal1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : k6_algstr_0(A,B,k15_lattice3(A,C)) = k15_lattice3(A,a_3_0_quantal1(A,B,C)) ) ) ) )).
fof(d5_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k1_quaterni) => ( ( ( C = k5_numbers & D = k5_numbers ) => ( E = k5_quaterni(A,B,C,D) <=> ? [F] : ( m1_subset_1(F,k1_numbers) & ? [G] : ( m1_subset_1(G,k1_numbers) & F = A & G = B & E = k5_arytm_0(F,G) ) ) ) ) & ( ~ ( C = k5_numbers & D = k5_numbers ) => ( E = k5_quaterni(A,B,C,D) <=> E = k10_funct_4(k5_numbers,1,2,3,A,B,C,D) ) ) ) ) ) ) ) ) )).
fof(d5_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k1_quofield(A)))) => ( B = k7_quofield(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_quofield(A))) => ( r2_tarski(C,B) <=> ? [D] : ( m2_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) & C = k6_quofield(A,D) ) ) ) ) ) ) )).
fof(d5_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(B)) ) => k6_radix_1(A,B,C,D) = k3_xcmplx_0(k11_newton(k1_radix_1(B),k7_nat_d(A,1)),k5_radix_1(A,B,C,D)) ) ) ) ) )).
fof(d5_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k4_radix_3(B)) ) => ( ( r2_tarski(A,k2_finseq_1(C)) => k7_radix_3(A,B,C,D) = k1_funct_1(D,A) ) & ( A = k5_numbers => k7_radix_3(A,B,C,D) = k5_numbers ) ) ) ) ) ) )).
fof(d5_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => ( ( A = B => k5_radix_5(A,B,C) = 1 ) & ( A != B => k5_radix_5(A,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d5_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(B,2)) & m2_finseq_1(D,k3_radix_1(C)) ) => ( ( r1_xxreal_0(2,C) & r2_hidden(A,k2_finseq_1(k2_xcmplx_0(B,2))) ) => ( ( r1_xxreal_0(B,A) => k5_radix_6(A,B,C,D) = k1_funct_1(D,A) ) & ( ~ r1_xxreal_0(B,A) => k5_radix_6(A,B,C,D) = k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)),1) ) ) ) ) ) ) ) )).
fof(d5_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_vectsp_6(D,A,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [F] : ( m1_vectsp_6(F,A,C) => ( F = k8_ranknull(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(A),F,G) = k2_rlvect_2(A,k5_ranknull(A,B,D,k7_ranknull(B,C,E,k6_domain_1(u1_struct_0(C),G)))) ) ) ) ) ) ) ) ) )).
fof(d5_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v3_rcomp_1(A) <=> v2_rcomp_1(k3_subset_1(k1_numbers,A)) ) ) )).
fof(d5_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k5_real_3(A) <=> ( k8_nat_1(k1_numbers,B,k5_numbers) = k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers) & k8_nat_1(k1_numbers,B,1) = k2_xcmplx_0(k4_real_1(k8_nat_1(k1_numbers,k4_real_3(A),1),k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)),1) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,k1_nat_1(C,2)) = k3_real_1(k4_real_1(k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(C,2)),k8_nat_1(k1_numbers,B,k1_nat_1(C,1))),k8_nat_1(k1_numbers,B,C)) ) ) ) ) ) )).
fof(d5_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) => ( B = k5_real_lat(A) <=> ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,B,C,D),k3_funcsdom(k1_numbers,A,k1_real_lat,C,D)) ) ) ) ) ) )).
fof(d5_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers))) ) => ( B = k6_real_ns1(A) <=> ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k2_binop_1(k1_euclid(A),k1_euclid(A),k1_numbers,B,C,D) = k18_rvsum_1(k14_rvsum_1(C,D)) ) ) ) ) ) )).
fof(d5_realset2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => k4_realset2(A) = u2_algstr_0(A) ) )).
fof(d5_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_rearran1(C) & v2_rearran1(C) & v3_rearran1(C,k1_zfmisc_1(B)) & m2_finseq_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k3_rearran1(A,B,C,D) = k14_rfunct_3(B,k16_rfunct_3(B,k15_rfunct_3(B,C),k3_rfinseq(k20_rfunct_3(A,D,A)))) ) ) ) ) )).
fof(d5_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r5_relat_2(A,B) <=> ! [C] : ! [D] : ~ ( r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,C),A) ) ) ) )).
fof(d5_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r3_rewrite1(A,B) <=> ! [C] : ~ r2_hidden(k4_tarski(B,C),A) ) ) )).
fof(d5_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( r2_rewrite2(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,k8_afinsq_1(A)) & ? [F] : ( m1_subset_1(F,k8_afinsq_1(A)) & ? [G] : ( m1_subset_1(G,k8_afinsq_1(A)) & ? [H] : ( m1_subset_1(H,k8_afinsq_1(A)) & C = k1_flang_1(A,k1_flang_1(A,E,G),F) & D = k1_flang_1(A,k1_flang_1(A,E,H),F) & r1_rewrite2(A,B,G,H) ) ) ) ) ) ) ) ) )).
fof(d5_rewrite3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( ( ? [C] : ? [D] : ( m1_subset_1(D,k8_afinsq_1(B)) & A = k4_tarski(C,D) ) => k2_rewrite3(A,B) = k2_xtuple_0(A) ) & ( ! [C] : ! [D] : ( m1_subset_1(D,k8_afinsq_1(B)) => A != k4_tarski(C,D) ) => k2_rewrite3(A,B) = k1_xboole_0 ) ) ) )).
fof(d5_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( B = k5_rfinseq2(A) <=> r2_classes1(A,B) ) ) ) )).
fof(d5_rfunct_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_rfunct_2(A) <=> ( v7_valued_0(A) | v8_valued_0(A) ) ) ) )).
fof(d5_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => k14_rfunct_3(A,B) = k1_finsop_1(k3_rfunct_3(A,k1_numbers),B,k13_rfunct_3(A)) ) ) )).
fof(d5_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r5_rfunct_4(A,B) <=> ( r2_hidden(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,k9_xtuple_0(A)) & ~ r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(E,B))) & r1_xxreal_0(C,k6_xcmplx_0(k1_funct_1(A,B),k1_funct_1(A,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k4_rinfsup1(A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( D = a_2_0_rinfsup1(A,C) => k1_funct_1(B,C) = k2_seq_4(D) ) ) ) ) ) ) )).
fof(d5_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( C = k1_ring_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E),C) <=> r2_tarski(k5_algstr_0(A,D,E),B) ) ) ) ) ) ) ) )).
fof(d5_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k2_ring_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_ring_1(A,B))))) ) => ( C = k3_ring_2(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k2_ring_1(A,B)),C,D) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),D) ) ) ) ) ) )).
fof(d5_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( v3_ringcat1(A) <=> v1_ringcat1(k3_ringcat1(A),u1_ringcat1(A),u2_ringcat1(A)) ) ) )).
fof(d5_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_rlaffin1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v1_rlaffin1(C,A) ) ) ) ) ) )).
fof(d5_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => k3_rlsub_1(A,B,C) = a_3_1_rlsub_1(A,B,C) ) ) ) )).
fof(d5_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ( m1_rlsub_2(C,A,B) <=> r1_rlsub_2(A,C,B) ) ) ) ) )).
fof(d5_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_rltopsp1(B,A) <=> B = k2_rltopsp1(A,B) ) ) ) )).
fof(d5_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ( v5_rlvect_1(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_rlvect_1(A,k1_algstr_0(A,C,D),B) = k1_algstr_0(A,k1_rlvect_1(A,C,B),k1_rlvect_1(A,D,B)) ) ) ) ) ) )).
fof(d5_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ( B = k4_rlvect_2(A) <=> k3_rlvect_2(A,B) = k1_xboole_0 ) ) ) )).
fof(d5_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_rmod_2(D,A,B) => k3_rmod_2(A,B,C,D) = a_4_1_rmod_2(A,B,C,D) ) ) ) ) )).
fof(d5_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => ( r1_rmod_3(A,B,D,E) => ! [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) => ( F = k4_rmod_3(A,B,C,D,E) <=> ( C = k3_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_struct_0(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_struct_0(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) ) ) ) ) ) ) ) ) ) )).
fof(d5_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_rmod_4(D,A,B) => ( m2_rmod_4(D,A,B,C) <=> r1_tarski(k2_rmod_4(A,B,D),C) ) ) ) ) ) )).
fof(d5_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ( v5_robbins1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),k3_robbins1(A,k1_lattices(A,B,k3_robbins1(A,C))))) = B ) ) ) ) )).
fof(d5_robbins4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) & l4_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_robbins4(A,B,C) <=> r3_lattices(A,B,k3_robbins1(A,C)) ) ) ) ) )).
fof(d5_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A,B) = a_2_1_roughs_1(A,B) ) ) )).
fof(d5_roughs_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r2_roughs_2(A,B) <=> ! [C] : ! [D] : ~ ( r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & ! [E] : ~ ( r2_hidden(E,B) & r2_hidden(k4_tarski(C,E),A) & r2_hidden(k4_tarski(E,D),A) ) ) ) ) )).
fof(d5_rsspace3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_rsspace3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k4_rsspace3(A,k1_normsp_0(A,B,E),k1_normsp_0(A,B,F))) ) ) ) ) ) ) ) ) )).
fof(d5_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_lopban_1(A,B)))) => ( C = k4_rsspace4(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & v1_rsspace4(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(d5_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m2_rusub_1(C,A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k3_rusub_1(A,D,B) ) ) ) ) ) )).
fof(d5_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( m1_rusub_2(C,A,B) <=> r1_rusub_2(A,C,B) ) ) ) ) )).
fof(d5_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => k3_rusub_4(A,B) = u1_struct_0(B) ) ) )).
fof(d5_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k4_rusub_5(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & r1_tarski(k4_bhsp_2(A,D,E),C) ) ) ) ) ) ) ) ) ) )).
fof(d5_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k6_rvsum_1(A) = k3_relat_1(A,k7_binop_2) ) )).
fof(d5_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( v1_xcmplx_0(B) => k9_rvsum_2(A,B) = k3_relat_1(A,k5_seq_4(B)) ) ) )).
fof(d5_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k4_rvsum_3(A) = k4_card_1(k3_rvsum_3(A)) ) )).
fof(d5_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => k7_scm_comp(A,B) = k6_trees_4(k4_tarski(k5_numbers,2),A,B) ) ) )).
fof(d5_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( m2_subset_1(C,k4_ordinal1,k5_card_1(9)) & A = k3_xtuple_0(C,k9_finseq_1(B),k1_xboole_0) ) ) => ! [B] : ( v7_ordinal1(B) => ( B = k6_scm_inst(A) <=> ? [C] : ( m2_finseq_1(C,k4_ordinal1) & C = k5_xtuple_0(A) & B = k7_partfun1(k4_ordinal1,C,1) ) ) ) ) ) )).
fof(d5_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => k4_scmfsa6a(A,B) = k2_scmfsa6a(A,k11_compos_1(k1_scmfsa_2,B)) ) ) )).
fof(d5_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) ) => ( v1_scmfsa7b(A) <=> ~ r4_scmfsa7b(A,k4_scmfsa_2(k5_numbers)) ) ) )).
fof(d5_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( r4_scmfsa9a(A,B,C,D) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k1_nat_1(F,1)))) & ~ r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F),C),k5_numbers) ) ) ) ) ) ) ) ) )).
fof(d5_scmfsa_1,axiom,( k5_scmfsa_1 = k7_afinsq_1(k4_ordinal1,k4_numbers,k3_finseq_2(k4_numbers)) )).
fof(d5_scmfsa_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) => ( m1_scmfsa_2(A) <=> r2_tarski(A,k3_scmfsa_1) ) ) )).
fof(d5_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k1_scmfsa_i) & ? [D] : ( m1_subset_1(D,k2_scm_inst) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(13)) & A = k3_xtuple_0(E,k1_xboole_0,k11_finseq_1(B,C,D)) ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_scmfsa_i) => ( B = k5_scmfsa_i(A) <=> ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,k1_scmfsa_i) & ? [E] : ( m1_subset_1(E,k2_scm_inst) & k11_finseq_1(C,D,E) = k2_xtuple_0(A) & B = D ) ) ) ) ) ) ) )).
fof(d5_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k4_ordinal1)))) ) => ( B = k8_scmfsa_m(A) <=> ( k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),B,k5_numbers) = a_1_2_scmfsa_m(A) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( k8_nat_1(k1_zfmisc_1(k4_ordinal1),B,C) = D => k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),B,k1_nat_1(C,1)) = k7_subset_1(k4_ordinal1,D,k6_domain_1(k4_ordinal1,k4_seq_4(D))) ) ) ) & ! [C] : ( v7_ordinal1(C) => ~ v1_finset_1(k8_nat_1(k1_zfmisc_1(k4_ordinal1),B,C)) ) ) ) ) ) )).
fof(d5_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k5_scmfsa_x(A,B) = k2_scmfsa6a(k3_scmfsa6a(k12_scmfsa_2(k1_nat_1(k4_card_1(B),4),A),k3_scmfsa6a(k13_scmfsa_2(k1_nat_1(k4_card_1(B),2),A),B)),k4_compos_1(k1_scmfsa_2)) ) ) )).
fof(d5_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => k4_scmpds_2(A) = k3_xtuple_0(1,k1_xboole_0,k9_finseq_1(A)) ) )).
fof(d5_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => k6_scmpds_4(A,B,C) = k6_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C,k10_compos_1(k1_scmpds_2,A)),B) ) ) ) )).
fof(d5_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k3_scmpds_6(A,B,C,D) = k1_scmpds_4(k1_scmpds_4(k2_scmpds_4(k8_scmpds_2(A,B,k1_nat_1(k4_card_1(C),2)),C),k1_scmpds_6(k1_nat_1(k4_card_1(D),1))),D) ) ) ) ) )).
fof(d5_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( v1_int_1(C) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(D,k1_xboole_0,k2_scmpds_i(B,C)) ) ) ) => ! [B] : ( v1_int_1(B) => ( B = k6_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,2) ) ) ) ) ) )).
fof(d5_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => ! [C] : ( v7_ordinal1(C) => k3_scmring1(A,B,C) = k1_funct_4(B,k17_funcop_1(k4_ordinal1,C)) ) ) ) )).
fof(d5_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => k5_scmring2(A,B,C) = k3_xtuple_0(3,k1_xboole_0,k10_finseq_1(B,C)) ) ) ) )).
fof(d5_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( m1_subset_1(D,k2_scm_inst) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(8)) & B = k3_xtuple_0(E,k12_finseq_1(k4_ordinal1,C),k12_finseq_1(k2_scm_inst,D)) ) ) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k5_scmringi(A,B) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & k12_finseq_1(k4_ordinal1,D) = k5_xtuple_0(B) & C = k7_partfun1(k4_ordinal1,k12_finseq_1(k4_ordinal1,D),1) ) ) ) ) ) ) )).
fof(d5_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E = k1_semi_af1(A,B,C,D) <=> r3_semi_af1(A,D,B,C,E) ) ) ) ) ) ) )).
fof(d5_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k1_numbers))) ) => ( A = k6_seq_4 <=> ! [B] : ( m1_subset_1(B,k2_numbers) => k3_funct_2(k2_numbers,k1_numbers,A,B) = k9_complex1(B) ) ) ) )).
fof(d5_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( D = k6_seqfunc(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,D,E),k3_valued_1(A,k1_numbers,k1_numbers,k1_seqfunc(A,k1_numbers,B,E),k1_seqfunc(A,k1_numbers,C,E))) ) ) ) ) ) ) )).
fof(d5_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_seqm_3(A) <=> ( v7_valued_0(A) | v8_valued_0(A) ) ) ) )).
fof(d5_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => k6_series_1(A,B) = k8_nat_1(k1_numbers,k3_series_1(A),B) ) ) )).
fof(d5_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ( C = k3_setfam_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ? [F] : ( r2_tarski(E,A) & r2_tarski(F,B) & D = k3_xboole_0(E,F) ) ) ) )).
fof(d5_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k4_kurato_0(A,B) = k3_prob_1(A,k4_setlim_1(A,B)) ) )).
fof(d5_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k5_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k9_subset_1(A,C,k8_nat_1(k9_setfam_1(A),B,E)) ) ) ) ) ) )).
fof(d5_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => k10_setwiseo(A,B,C,D) = k7_setwiseo(A,k5_finsub_1(B),k9_setwiseo(B),C,D) ) ) ) )).
fof(d5_sf_mastr,axiom,( ! [A] : k5_sf_mastr(A) = k3_tarski(a_1_1_sf_mastr(A)) )).
fof(d5_sfmastr2,axiom,( ! [A] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => k4_sfmastr2(A) = k2_sfmastr2(A,k4_scmfsa6a(k3_scmfsa_x(A,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(A,A))),k8_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))) ) )).
fof(d5_sfmastr3,axiom,( ! [A] : ( m1_scmfsa_2(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => k4_sfmastr3(A,B,C) = k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k5_scmfsa_m(B,C)),B,A),k14_scmfsa_2(k9_scmfsa_m(2,k5_scmfsa_m(B,C)),C,A)),k15_scmfsa_2(k9_scmfsa_m(2,k5_scmfsa_m(B,C)),B,A)),k15_scmfsa_2(k9_scmfsa_m(1,k5_scmfsa_m(B,C)),C,A)) ) ) ) )).
fof(d5_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v3_sheffer1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k1_lattices(A,B,C),k1_lattices(A,B,D)) ) ) ) ) ) )).
fof(d5_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( r1_tarski(k3_simplex1(A,B),k2_struct_0(B)) => k4_simplex1(A,B) = k11_simplex0(u1_struct_0(A),B,k2_rlaffin2(A)) ) ) ) )).
fof(d5_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k4_sin_cos(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k2_comseq_3(A,C),k2_newton(C)) ) ) ) ) )).
fof(d5_sin_cos2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k5_sin_cos2 <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k22_sin_cos,k4_xcmplx_0(B))),k2_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k22_sin_cos,k4_xcmplx_0(B)))) ) ) ) )).
fof(d5_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => k5_sin_cos7(A) = k3_xcmplx_0(k7_xcmplx_0(1,2),k3_power(k4_power,k7_xcmplx_0(k2_xcmplx_0(A,1),k6_xcmplx_0(A,1)))) ) )).
fof(d5_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => k5_sincos10(A) = k1_funct_1(k1_sincos10,A) ) )).
fof(d5_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r2_sppol_1(A,B,C) <=> ( v3_sppol_1(A) & v4_topreal1(A) & v3_sppol_1(B) & v4_topreal1(B) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) & v3_sppol_1(k3_finseq_4(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),B,2))) & v3_sppol_1(k3_finseq_4(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k6_xcmplx_0(k3_finseq_1(A),1)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k6_xcmplx_0(k3_finseq_1(B),1)))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k3_topreal1(2,B)) = k7_domain_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) & C = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k3_topreal1(2,B)) ) ) ) ) ) )).
fof(d5_stacks_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k6_stacks_1(A,B) = k3_funct_2(u4_struct_0(A),u1_struct_0(A),u4_stacks_1(A),B) ) ) )).
fof(d5_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( r1_struct_0(A,B) <=> r2_hidden(B,u1_struct_0(A)) ) ) )).
fof(d5_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_sublemma(B,A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => ! [C] : ( m1_substut1(C,A,B) => ( v3_substut1(B,A) => k9_sublemma(A,B,C) = k24_substut1(A,B,C) ) ) ) ) )).
fof(d5_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r2_qc_lang2(A,B,C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( m1_substut2(D,A,B,C) <=> ( r1_xxreal_0(1,k3_finseq_1(D)) & k1_funct_1(D,1) = B & k1_funct_1(D,k3_finseq_1(D)) = C & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(k3_finseq_1(D),E) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ~ ( k1_funct_1(D,E) = F & k1_funct_1(D,k1_nat_1(E,1)) = G & r1_qc_lang2(A,F,G) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_supinf_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_numbers)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_supinf_2(C,A,B) <=> ~ r1_xxreal_0(k1_supinf_1,k10_supinf_2(k6_numbers,A,B,C)) ) ) ) )).
fof(d5_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k3_t_0topsp(A) = k11_borsuk_1(A,k2_t_0topsp(A)) ) )).
fof(d5_tarski,axiom,( ! [A] : ! [B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)) )).
fof(d5_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_partit1(A))) => ( C = k2_taxonom1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( ~ v3_xxreal_0(E) & v1_xreal_0(E) & ? [F] : ( v1_partfun1(F,A) & v3_relat_2(F) & v8_relat_2(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & r2_relset_1(A,A,F,k13_lang1(A,k1_taxonom1(A,B,E))) & k8_eqrel_1(A,F) = D ) ) ) ) ) ) ) )).
fof(d5_taxonom2,axiom,( ! [A] : ( v4_taxonom2(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => ( B = C | r1_xboole_0(B,C) ) ) ) )).
fof(d5_taylor_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) => ( C = k5_taylor_1(A,B) <=> ( r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k5_numbers),k2_partfun1(k1_numbers,k1_numbers,A,B)) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k1_nat_1(D,1)),k2_fdiff_1(k1_seqfunc(k1_numbers,k1_numbers,C,D),B)) ) ) ) ) ) ) )).
fof(d5_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ( v4_tbsp_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_tbsp_1(B,A) => v2_tbsp_1(B,A) ) ) ) ) )).
fof(d5_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v2_tdgroup(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,D) => B = C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,D,E,F,G) ) => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,C,D,E) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) ) => r2_analoaf(A,C,D,F,G) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_analoaf(A,B,D,D,C) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,C,D) & r2_analoaf(A,B,E,E,D) ) => C = E ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,B,D,C,E) ) ) ) ) ) ) ) ) )).
fof(d5_tdlat_1,axiom,( ! [A] : ( l1_pre_topc(A) => k5_tdlat_1(A) = a_1_1_tdlat_1(A) ) )).
fof(d5_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( ( r1_termord(A,B,D,C) => k2_termord(A,B,C,D) = C ) & ( ~ r1_termord(A,B,D,C) => k2_termord(A,B,C,D) = D ) ) ) ) ) ) )).
fof(d5_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_tdlat_3(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v2_tops_1(B,A) ) ) ) )).
fof(d5_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_pre_topc(C,A) => ! [D] : ( m1_pre_topc(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( m1_pre_topc(D,C) => k3_tmap_1(A,B,C,D,E) = k2_partfun1(u1_struct_0(C),u1_struct_0(B),E,u1_struct_0(D)) ) ) ) ) ) ) )).
fof(d5_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v15_algstr_0(C) & l3_algstr_0(C) ) => ( C = k5_topalg_1(A,B) <=> ( u1_struct_0(C) = k8_eqrel_1(k2_topalg_1(A,B),k4_topalg_1(A,B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ? [F] : ( m1_borsuk_2(F,A,B,B) & ? [G] : ( m1_borsuk_2(G,A,B,B) & D = k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),F) & E = k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),G) & k4_binop_1(u1_struct_0(C),u2_algstr_0(C),D,E) = k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),k1_borsuk_2(A,B,B,B,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(d5_topalg_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_gr_cy_1),u1_struct_0(k5_topalg_1(k8_toprealb(2),k9_toprealb))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_gr_cy_1),u1_struct_0(k5_topalg_1(k8_toprealb(2),k9_toprealb))))) ) => ( A = k7_topalg_5 <=> ! [B] : ( v1_int_1(B) => k1_funct_1(A,B) = k6_eqrel_1(k2_topalg_1(k8_toprealb(2),k9_toprealb),k2_topalg_1(k8_toprealb(2),k9_toprealb),k4_topalg_1(k8_toprealb(2),k9_toprealb),k6_topalg_5(B)) ) ) ) )).
fof(d5_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => k1_topalg_6(A) = a_1_0_topalg_6(A) ) )).
fof(d5_topalg_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k3_topmetr)))) ) => ( A = k9_topalg_7 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k3_topmetr)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_topmetr)) => k1_topalg_7(k3_topmetr,k3_topmetr,u1_struct_0(k3_topmetr),A,B,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(d5_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_topdim_1(B,A) => ! [C] : ( v1_int_1(C) => ( C = k2_topdim_1(A,B) <=> ( r2_tarski(B,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),k2_xcmplx_0(C,1))) & ~ r2_tarski(B,k1_funct_1(k1_topdim_1(A),C)) ) ) ) ) ) ) )).
fof(d5_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_pre_topc(C) & l1_pre_topc(C) ) => ( C = k5_topgen_2(A,B) <=> ( u1_struct_0(C) = A & u1_pre_topc(C) = k2_xboole_0(a_2_0_topgen_2(A,B),a_1_1_topgen_2(A)) ) ) ) )).
fof(d5_topgen_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k4_topgen_3(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,A) & k8_nat_1(k1_numbers,C,D) = k1_newton(B,D) ) | ( ~ r2_tarski(D,A) & k8_nat_1(k1_numbers,C,D) = k5_numbers ) ) ) ) ) ) )).
fof(d5_topgen_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)))) ) => ( C = k4_topgen_5(A,B) <=> ( k1_funct_1(C,k19_euclid(A,k5_numbers)) = k5_numbers & ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_xreal_0(E) & ~ v3_xxreal_0(E) ) => ( ~ ( ~ ( D = A & E = k5_numbers ) & ~ r2_tarski(k19_euclid(D,E),k1_topreal9(2,k19_euclid(A,B),B)) & k1_funct_1(C,k19_euclid(D,E)) != 1 ) & ( r2_tarski(k19_euclid(D,E),k1_topreal9(2,k19_euclid(A,B),B)) => k1_funct_1(C,k19_euclid(D,E)) = k7_xcmplx_0(k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),k19_euclid(A,k5_numbers),k19_euclid(D,E)))),k3_xcmplx_0(k3_xcmplx_0(2,B),E)) ) ) ) ) ) ) ) ) ) )).
fof(d5_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v15_algstr_0(B) & l3_algstr_0(B) ) => ( B = k5_topgrp_1(A) <=> ! [C] : ( ( r2_tarski(C,u1_struct_0(B)) => m3_topgrp_1(C,A) ) & ( m3_topgrp_1(C,A) => r2_tarski(C,u1_struct_0(B)) ) & ! [D] : ( m3_topgrp_1(D,A) => ! [E] : ( m3_topgrp_1(E,A) => k1_binop_1(u2_algstr_0(B),D,E) = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,E) ) ) ) ) ) ) )).
fof(d5_topmetr,axiom,( ! [A] : ( l1_metric_1(A) => ( v2_topmetr(A) <=> v1_compts_1(k3_pcomps_1(A)) ) ) )).
fof(d5_topreal1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v1_topreal1(A) <=> ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)) != k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)) != k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))) ) ) ) ) )).
fof(d5_topreal9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_topreal9(A,B,C) = a_3_3_topreal9(A,B,C) ) ) ) )).
fof(d5_toprealb,axiom,( ! [A] : ( m1_pre_topc(A,k15_euclid(2)) => ( v1_toprealb(A) <=> ( v1_topreal2(u1_struct_0(A)) & m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) ) )).
fof(d5_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(A))),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(A))),u1_struct_0(k15_euclid(A))))) ) => ( B = k15_toprealc(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k5_toprealc(k15_euclid(A),k15_euclid(A),k15_euclid(A),B,C,D) = k10_toprealc(A,C,D) ) ) ) ) ) )).
fof(d5_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k4_toprns_1(A,B,C) = k1_toprns_1(A,B,k3_toprns_1(A,C)) ) ) ) )).
fof(d5_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(C,A,B) <=> ( k1_relset_1(u1_struct_0(A),C) = k2_struct_0(A) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) & v2_funct_1(C) & v5_pre_topc(C,A,B) & v5_pre_topc(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) ) )).
fof(d5_tops_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_3(B,A) <=> k2_pre_topc(A,k1_tops_1(A,B)) = u1_struct_0(A) ) ) ) )).
fof(d5_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v1_transgeo(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,F,G,D,E) ) => ( F = G | r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_analoaf(A,B,B,C,D) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,D,E,B,C) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,B,C) ) ) ) ) ) )).
fof(d5_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( B = k3_trees_1(A) <=> ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) <=> ( r2_tarski(C,A) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ~ ( r2_tarski(D,A) & r2_xboole_0(C,D) ) ) ) ) ) ) ) ) )).
fof(d5_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => k1_trees_2(A,B) = a_2_1_trees_2(A,B) ) ) )).
fof(d5_trees_3,axiom,( ! [A] : ( v3_trees_3(A) <=> ! [B] : ( r2_hidden(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) ) ) )).
fof(d5_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => k5_trees_4(A,B) = k4_trees_4(A,k9_finseq_1(B)) ) )).
fof(d5_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) ) => ! [B] : ( m1_trees_1(B,A) => ! [C] : ( ( v2_funct_1(C) & m2_finseq_1(C,A) ) => ( C = k1_trees_9(A,B) <=> ( k3_finseq_1(C) = k4_card_1(k1_trees_2(A,B)) & k2_relset_1(A,C) = k1_trees_2(A,B) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(C),D) => k1_funct_1(C,k1_nat_1(D,1)) = k8_finseq_1(k4_ordinal1,B,k14_trees_3(D)) ) ) ) ) ) ) ) )).
fof(d5_tsep_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_1(A,B,C) <=> r1_connsp_1(A,k7_subset_1(u1_struct_0(A),B,C),k7_subset_1(u1_struct_0(A),C,B)) ) ) ) ) )).
fof(d5_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v6_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(d5_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => k7_turing_1(A,B) = k1_funct_1(u3_turing_1(A),k4_tarski(k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),B),k1_funct_1(k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),B),k6_turing_1(A,B)))) ) ) )).
fof(d5_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k6_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k8_margrel1(k1_binarith(B,C)) ) ) ) ) )).
fof(d5_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m5_margrel1(C,u1_struct_0(A),k1_unialg_2(A)) => ( r2_unialg_2(A,B,C) => k2_unialg_2(A,B,C) = k2_partfun1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),C,k4_finseq_2(k18_margrel1(C),B)) ) ) ) ) )).
fof(d5_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_unialg_3(A))) ) => ! [C] : ( ( v1_unialg_1(C) & m1_unialg_2(C,A) ) => ( C = k4_unialg_3(A,B) <=> u1_struct_0(C) = k6_setfam_1(u1_struct_0(A),k7_relset_1(k1_unialg_3(A),k9_setfam_1(u1_struct_0(A)),k3_unialg_3(A),B)) ) ) ) ) )).
fof(d5_uniroots,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(B,k1_complfld) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( B = k5_uniroots(A) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_complfld))) & C = a_1_3_uniroots(A) & r2_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),B,k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),C,1))) ) ) ) ) )).
fof(d5_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_uproots(B,A) <=> B != k9_polynom3(A) ) ) ) )).
fof(d5_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(A)) => ! [C] : ( v7_ordinal1(C) => ( C = k5_urysohn1(A,B) <=> B = k7_xcmplx_0(C,k1_newton(2,A)) ) ) ) ) )).
fof(d5_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k6_numbers)) => ( F = k3_urysohn3(A,B,C,D,E) <=> ! [G] : ( r2_tarski(G,F) <=> ( r2_tarski(G,k2_urysohn1) & ! [H] : ( v1_xreal_0(H) => ~ ( H = G & r2_tarski(E,k1_funct_1(k2_urysohn3(A,B,C,D),H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_qc_lang1(A),k2_margrel1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_qc_lang1(A),k2_margrel1(B)))) ) => ( m1_valuat_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k6_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k2_margrel1(B)) => ~ ( r1_margrel1(B,k3_funct_2(k6_qc_lang1(A),k2_margrel1(B),C,D),E) & ~ r1_margrel1(B,E,k3_margrel1(B)) & k7_qc_lang1(A,D) != k4_margrel1(B,E) ) ) ) ) ) ) ) )).
fof(d5_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k24_valued_1(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k3_xcmplx_0(B,k1_funct_1(A,D)) ) ) ) ) ) ) )).
fof(d5_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectmetr(A) ) => ( v5_vectmetr(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_metric_1(A,k1_rlvect_1(A,C,B),k1_rlvect_1(A,D,B)) = k3_xcmplx_0(k9_complex1(B),k1_metric_1(A,C,D)) ) ) ) ) ) )).
fof(d5_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)))) ) => ( D = k5_vectsp10(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(u1_struct_0(B)),k2_vectsp10(A,B,C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( F = k3_vectsp_4(A,B,G,C) => k2_binop_1(u1_struct_0(A),k2_vectsp10(A,B,C),k2_vectsp10(A,B,C),D,E,F) = k3_vectsp_4(A,B,k3_vectsp_1(A,B,E,G),C) ) ) ) ) ) ) ) ) ) )).
fof(d5_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( D = k2_vectsp11(A,B,C) <=> u1_struct_0(D) = a_3_0_vectsp11(A,B,C) ) ) ) ) ) )).
fof(d5_vectsp_1,axiom,( k2_vectsp_1 = g6_algstr_0(k1_numbers,k9_binop_2,k11_binop_2,k10_subset_1(1,k1_numbers),k10_subset_1(k5_numbers,k1_numbers)) )).
fof(d5_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k3_vectsp_2(A) = g1_vectsp_2(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A)) ) )).
fof(d5_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => k3_vectsp_4(A,B,C,D) = a_4_1_vectsp_4(A,B,C,D) ) ) ) ) )).
fof(d5_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( m1_vectsp_5(D,A,B,C) <=> r1_vectsp_5(A,B,D,C) ) ) ) ) ) )).
fof(d5_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( E = k3_vectsp_6(A,B,C,D) <=> ( k3_finseq_1(E) = k3_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k9_xtuple_0(E)) => k1_funct_1(E,F) = k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,k7_partfun1(u1_struct_0(B),C,F)),k7_partfun1(u1_struct_0(B),C,F)) ) ) ) ) ) ) ) ) ) )).
fof(d5_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_vectsp_8(A,B))) ) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( D = k5_vectsp_8(A,B,C) <=> u1_struct_0(D) = k6_setfam_1(u1_struct_0(B),k7_relset_1(k2_vectsp_8(A,B),k9_setfam_1(u1_struct_0(B)),k4_vectsp_8(A,B),C)) ) ) ) ) ) )).
fof(d5_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( D = k5_vfunct_1(A,B,C) <=> ( k1_relset_1(A,D) = k1_relset_1(A,C) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k7_partfun1(u1_struct_0(B),D,E) = k4_algstr_0(B,k7_partfun1(u1_struct_0(B),C,E)) ) ) ) ) ) ) ) ) )).
fof(d5_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => k5_vsdiff_1(A,B,C,D,E,F) = k2_vfunct_1(u1_struct_0(C),E,k3_vsdiff_1(A,B,C,E,F,D),F) ) ) ) ) ) ) )).
fof(d5_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_0(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k6_waybel10(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k2_yellow_0(A,k8_subset_1(u1_struct_0(A),k6_waybel_0(A,D),u1_struct_0(B))) ) ) ) ) ) )).
fof(d5_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_waybel_9(A) ) => ( v4_waybel11(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> v13_waybel_0(B,A) ) ) ) ) )).
fof(d5_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_waybel12(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => v2_waybel12(C,A) ) ) ) ) ) )).
fof(d5_waybel18,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_waybel18(A) <=> ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v5_pre_topc(C,B,A) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ~ ( m1_pre_topc(B,D) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(D),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(A)))) ) => ~ ( v5_pre_topc(E,D,A) & k2_partfun1(u1_struct_0(D),u1_struct_0(A),E,u1_struct_0(B)) = C ) ) ) ) ) ) ) ) ) )).
fof(d5_waybel20,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => ( v1_waybel20(B,A) => ! [C] : ( ( v1_orders_2(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v3_waybel_3(C) & l1_orders_2(C) ) => ( C = k5_waybel20(A,B) <=> ( u1_struct_0(C) = k8_eqrel_1(u1_struct_0(A),k2_waybel20(A,B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r3_orders_2(C,D,E) <=> r3_orders_2(A,k2_yellow_0(A,D),k2_yellow_0(A,E)) ) ) ) ) ) ) ) ) ) )).
fof(d5_waybel23,axiom,( ! [A] : ( l1_pre_topc(A) => k2_waybel23(A) = k1_setfam_1(a_1_0_waybel23(A)) ) )).
fof(d5_waybel26,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k6_waybel26(A,B) <=> ( k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => k1_funct_1(C,D) = k9_relat_1(A,D) ) ) ) ) ) )).
fof(d5_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v3_orders_2(D) & v5_orders_2(D) & l1_orders_2(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(E,A,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v22_waybel_0(F,C,D) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_waybel27(B,C)),u1_struct_0(k2_waybel27(A,D))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_waybel27(B,C)),u1_struct_0(k2_waybel27(A,D))))) ) => ( G = k4_waybel27(A,B,C,D,E,F) <=> ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(B),u1_struct_0(C)) & v22_waybel_0(H,B,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k1_funct_1(G,H) = k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(D),E,k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),H,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_waybel34,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ ! [B] : ( m1_subset_1(B,A) => v1_xboole_0(B) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & v2_yellow21(B) & l2_altcat_1(B) ) => ( B = k5_waybel34(A) <=> ( ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ( m1_subset_1(C,u1_struct_0(B)) <=> ( v1_orders_2(C) & v3_lattice3(C) & r2_tarski(u1_struct_0(C),A) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))) & v5_orders_3(E,k3_yellow21(B,C),k3_yellow21(B,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))))) ) => ( r2_tarski(E,k1_altcat_1(B,C,D)) <=> v18_waybel_0(E,k3_yellow21(B,C),k3_yellow21(B,D)) ) ) ) ) ) ) ) ) ) )).
fof(d5_waybel35,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ! [D] : ( D = k2_waybel35(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ( m1_waybel35(E,A,B) & r1_tarski(C,E) ) ) ) ) ) )).
fof(d5_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_orders_2(A,D,E) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( F = k1_funct_1(C,D) & G = k1_funct_1(C,E) ) => r1_orders_2(B,G,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( r2_waybel_1(A,B) <=> ( r1_yellow_0(A,B) & r2_tarski(k1_yellow_0(A,B),B) ) ) ) )).
fof(d5_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)))) ) => ( B = k5_waybel_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_binop_1(B,C,D) = k10_lattice3(A,C,D) ) ) ) ) ) )).
fof(d5_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v2_waybel_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => B = k1_yellow_0(A,k1_waybel_3(A,B)) ) ) ) )).
fof(d5_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v3_waybel_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),C,E),B) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E),B) ) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k10_lattice3(A,C,D),E),B) ) ) ) ) ) ) ) )).
fof(d5_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_yellow_0(A,k9_subset_1(u1_struct_0(A),k6_waybel_0(A,C),B)) & C = k2_yellow_0(A,k9_subset_1(u1_struct_0(A),k6_waybel_0(A,C),B)) ) ) ) ) ) )).
fof(d5_waybel_7,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ! [C] : ( r2_waybel_7(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(D,A) & r2_hidden(C,D) ) => r2_tarski(D,B) ) ) ) ) )).
fof(d5_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v3_waybel_8(A) <=> ( v2_waybel_8(A) & v5_yellow_0(k1_waybel_8(A),A) ) ) ) )).
fof(d5_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v6_waybel_0(B,A) & l1_waybel_0(B,A) ) => ( B = k2_waybel_9(A) <=> ( g1_orders_2(u1_struct_0(B),u1_orders_2(B)) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) & u1_waybel_0(A,B) = k3_struct_0(A) ) ) ) ) )).
fof(d5_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v36_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_group_1(C) & l6_algstr_0(C) ) => ( C = k5_weddwitt(A,B) <=> ( u1_struct_0(C) = a_2_3_weddwitt(A,B) & u1_algstr_0(C) = k1_realset1(u1_algstr_0(A),u1_struct_0(C)) & u2_algstr_0(C) = k1_realset1(u2_algstr_0(A),u1_struct_0(C)) & k4_struct_0(C) = k4_struct_0(A) & k5_struct_0(C) = k5_struct_0(A) ) ) ) ) ) )).
fof(d5_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)))) ) => ( C = k5_weierstr(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,D),B)) ) ) ) ) ) )).
fof(d5_wellfnd1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r1_wellfnd1(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = k1_binop_1(C,E,k5_relat_1(D,k1_wellord1(u1_orders_2(A),E))) ) ) ) ) ) ) )).
fof(d5_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r2_wellord1(A,B) <=> ( r1_relat_2(A,B) & r8_relat_2(A,B) & r4_relat_2(A,B) & r6_relat_2(A,B) & r1_wellord1(A,B) ) ) ) )).
fof(d5_xboole_0,axiom,( ! [A] : ! [B] : ! [C] : ( C = k4_xboole_0(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,A) & ~ r2_hidden(D,B) ) ) ) )).
fof(d5_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(A,B) = k3_xcmplx_0(A,B) ) ) )).
fof(d5_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B = k4_xcmplx_0(A) <=> k2_xcmplx_0(A,B) = k5_numbers ) ) ) )).
fof(d5_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( ( r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2) ) => ( r1_xxreal_0(A,B) <=> ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = C & B = D & r1_arytm_2(C,D) ) ) ) ) & ( ( r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & r2_hidden(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) => ( r1_xxreal_0(A,B) <=> ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = k4_tarski(k5_numbers,C) & B = k4_tarski(k5_numbers,D) & r1_arytm_2(D,C) ) ) ) ) & ~ ( ~ ( r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2) ) & ~ ( r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & r2_hidden(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) & ~ ( r1_xxreal_0(A,B) <=> ~ ( ~ ( r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) & A != k2_xxreal_0 & B != k1_xxreal_0 ) ) ) ) ) ) )).
fof(d5_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ( v1_xxreal_2(A) <=> r2_hidden(k2_xxreal_2(A),A) ) ) )).
fof(d5_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( C = k4_xxreal_3(A,B) <=> ? [D] : ( v1_xcmplx_0(D) & ? [E] : ( v1_xcmplx_0(E) & A = D & B = E & C = k3_xcmplx_0(D,E) ) ) ) ) & ~ ( ~ ( v1_xreal_0(A) & v1_xreal_0(B) ) & ( ( v2_xxreal_0(A) & v2_xxreal_0(B) ) | ( v3_xxreal_0(A) & v3_xxreal_0(B) ) ) & ~ ( C = k4_xxreal_3(A,B) <=> C = k1_xxreal_0 ) ) & ~ ( ~ ( v1_xreal_0(A) & v1_xreal_0(B) ) & ( ( v2_xxreal_0(A) & v3_xxreal_0(B) ) | ( v3_xxreal_0(A) & v2_xxreal_0(B) ) ) & ~ ( C = k4_xxreal_3(A,B) <=> C = k2_xxreal_0 ) ) & ~ ( ~ ( v1_xreal_0(A) & v1_xreal_0(B) ) & ~ ( ~ ( v1_xreal_0(A) & v1_xreal_0(B) ) & ( ( v2_xxreal_0(A) & v2_xxreal_0(B) ) | ( v3_xxreal_0(A) & v3_xxreal_0(B) ) ) ) & ~ ( ~ ( v1_xreal_0(A) & v1_xreal_0(B) ) & ( ( v2_xxreal_0(A) & v3_xxreal_0(B) ) | ( v3_xxreal_0(A) & v2_xxreal_0(B) ) ) ) & ~ ( C = k4_xxreal_3(A,B) <=> C = k5_numbers ) ) ) ) ) ) )).
fof(d5_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_waybel_9(A) ) => ( v2_yellow13(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),u1_struct_0(A)))) ) => ( r1_funct_2(u1_struct_0(k2_borsuk_1(A,A)),u1_struct_0(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A),B,k4_waybel_2(A)) => v5_pre_topc(B,k2_borsuk_1(A,A),A) ) ) ) ) )).
fof(d5_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => ! [C] : ( ( v9_functor0(C,A,B) & v16_functor0(C,A,B) & m2_functor0(C,A,B) ) => ( C = k2_yellow18(A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_functor0(A,B,C,D) = D ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k1_altcat_1(A,D,E) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => k8_functor0(A,B,C,D,E,F) = F ) ) ) ) ) ) ) ) ) ) )).
fof(d5_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v1_yellow19(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_waybel_0(A,B,C) | r1_waybel_0(A,B,k3_subset_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(d5_yellow20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v11_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_altcat_1(E) & v11_altcat_1(E) & v12_altcat_1(E) & l2_altcat_1(E) ) => ( r3_yellow20(A,B,C,D,E) <=> ( v2_altcat_1(D) & v3_altcat_2(D,A) & m1_altcat_2(D,A) & v2_altcat_1(E) & v3_altcat_2(E,B) & m1_altcat_2(E,B) & ? [F] : ( v16_functor0(F,D,E) & m2_functor0(F,D,E) & v21_functor0(F,D,E) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( G = H => k3_functor0(D,E,F,G) = k3_functor0(A,B,C,H) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( G = I & H = J ) => ( k1_altcat_1(D,G,H) = k1_xboole_0 | ! [K] : ( m1_subset_1(K,k1_altcat_1(D,G,H)) => ! [L] : ( m1_subset_1(L,k1_altcat_1(A,I,J)) => ( K = L => k8_functor0(D,E,F,G,H,K) = k1_funct_1(k4_functor0(A,B,C,I,J),L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d5_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_yellow_0(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & r2_lattice3(A,u1_struct_0(A),B) ) ) ) )).
fof(d5_yellow_1,axiom,( ! [A] : ! [B] : ( l1_orders_2(B) => k5_yellow_1(A,B) = k4_yellow_1(A,k7_funcop_1(A,B)) ) )).
fof(d5_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( v1_relat_1(B) => k4_yellow_2(A,B) = k1_yellow_0(A,k10_xtuple_0(B)) ) ) )).
fof(d5_yellow_6,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v6_waybel_0(D,B) & l1_waybel_0(D,B) ) => ( D = k2_yellow_6(A,B,C) <=> ( g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) & r2_funct_2(u1_struct_0(D),u1_struct_0(B),u1_waybel_0(B,D),k8_funcop_1(u1_struct_0(B),u1_struct_0(D),C)) ) ) ) ) ) ) )).
fof(d5_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v4_yellow_8(A) <=> ! [B] : ( ( v3_yellow_8(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_yellow_8(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_yellow_8(A,B,D) => C = D ) ) ) ) ) ) )).
fof(d5_yellow_9,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( m2_yellow_9(B,A) <=> ( u1_struct_0(A) = u1_struct_0(B) & r1_tarski(u1_pre_topc(A),u1_pre_topc(B)) ) ) ) ) )).
fof(d5_zf_fund1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( C = k5_zf_fund1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) & D = k2_partfun1(k4_ordinal1,B,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,B,k2_zf_fund1,E),k4_zf_fund1(k2_zf_model(A))) & r2_tarski(E,k5_zf_model(A,B)) ) ) ) ) ) )).
fof(d5_zf_lang,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => k5_zf_lang(A) = k8_finseq_1(k4_ordinal1,k14_trees_3(2),A) ) )).
fof(d5_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_zf_model(A,B) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => r1_zf_model(A,C,B) ) ) ) ) )).
fof(d5_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_zfmisc_1(A,B,C) <=> ( A != B & A != C & B != C ) ) )).
fof(d5_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_zmodul01(A) ) => ( v5_zmodul01(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_zmodul01(A,B,1) = B ) ) ) )).
fof(d5_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => k5_zmodul02(A,B) = g1_zmodul01(k1_zmodul02(A,B),k2_zmodul02(A,B),k3_zmodul02(A,B),k4_zmodul02(A,B)) ) ) )).
fof(d5_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k1_zmodul03(A) <=> ! [C] : ( m1_zmodul03(C,A) => B = k4_card_1(C) ) ) ) ) )).
fof(d5_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) => k5_zmodul04(A) = g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A)) ) ) )).
fof(d5_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,B) ) => ( D = k4_zmodul05(A,B,C) <=> k2_struct_0(D) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_struct_0(A)) ) ) ) ) ) )).
fof(d60_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m4_abcmiz_1(C,A,k28_abcmiz_1(A)) => ( C = k55_abcmiz_1(A,B) <=> ( ! [D] : ( m1_subset_1(D,k2_abcmiz_1) => ( ( r2_tarski(D,k1_relset_1(k2_abcmiz_1,B)) => k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,k35_abcmiz_1(D,A)) = k1_funct_1(B,D) ) & ( ~ r2_tarski(D,k1_relset_1(k2_abcmiz_1,B)) => k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,k35_abcmiz_1(D,A)) = k35_abcmiz_1(D,A) ) ) ) & ! [D] : ( ( v2_abcmiz_1(D,A) & m1_subset_1(D,u4_struct_0(A)) ) => ! [E] : ( m1_trees_4(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => ! [F] : ( m1_trees_4(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => ( ( k3_finseq_1(E) = k3_finseq_1(k1_msualg_1(A,D)) & F = k11_lang1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),E,C) ) => k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,k36_abcmiz_1(A,D,E)) = k36_abcmiz_1(A,D,F) ) ) ) ) & ! [D] : ( m1_abcmiz_1(D,A,k13_abcmiz_1(A)) => k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,k30_abcmiz_1(A,k32_abcmiz_1(A),D)) = k30_abcmiz_1(A,k32_abcmiz_1(A),k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,D)) ) & ! [D] : ( m1_abcmiz_1(D,A,k13_abcmiz_1(A)) => ! [E] : ( m1_abcmiz_1(E,A,k12_abcmiz_1(A)) => k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,k31_abcmiz_1(A,k33_abcmiz_1(A),D,E)) = k31_abcmiz_1(A,k33_abcmiz_1(A),k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,D),k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,E)) ) ) ) ) ) ) ) )).
fof(d60_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) => k66_aofa_i00(A,B,C,D,E) = k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,C,k36_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k29_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,1),k43_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,2))) ) ) ) ) ) )).
fof(d60_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k36_fomodel4(A) = k23_fomodel4(A,k22_fomodel4(A)) ) )).
fof(d60_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k18_modelc_1,u3_modelc_1(k48_modelc_1(A,B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(A,B,C))))) ) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( ( v1_modelc_1(F) & m2_finseq_1(F,k4_ordinal1) ) => ( r4_modelc_1(A,B,C,D,E,F) <=> r3_modelc_1(A,B,C,E,k24_modelc_1(k48_modelc_1(A,B,C),D,F)) ) ) ) ) ) ) ) )).
fof(d60_modelc_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k30_modelc_1(k25_modelc_2(k43_modelc_2))) => ( B = k45_modelc_2(A) <=> ! [C] : ( r2_tarski(C,k25_modelc_2(k43_modelc_2)) => k1_funct_1(k31_modelc_1(k25_modelc_2(k43_modelc_2),B),C) = k44_modelc_2(A,C) ) ) ) )).
fof(d61_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => k56_abcmiz_1(A,B,C) = k3_funct_2(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k55_abcmiz_1(A,B),C) ) ) ) )).
fof(d61_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) => ! [F] : ( m3_aofa_i00(F,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) => k67_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,C,k37_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)) ) ) ) ) ) ) )).
fof(d61_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v3_card_1(C,B) & m2_subset_1(C,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => ! [D] : ( ( v3_card_1(D,B) & m2_subset_1(D,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => k37_fomodel4(A,B,C,D) = a_4_2_fomodel4(A,B,C,D) ) ) ) ) )).
fof(d61_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_modelc_1(D,A,B) => ! [E] : ( ( E = k5_numbers => k49_modelc_1(A,B,C,D,E) = C ) & ( E != k5_numbers => k49_modelc_1(A,B,C,D,E) = k3_funct_2(k4_ordinal1,A,D,k2_modelc_1(k6_xcmplx_0(k2_modelc_1(E),1))) ) ) ) ) ) ) )).
fof(d61_modelc_2,axiom,( k46_modelc_2 = a_0_1_modelc_2 )).
fof(d62_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) => ! [F] : ( m3_aofa_i00(F,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) => k68_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,C,k38_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)) ) ) ) ) ) ) )).
fof(d62_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( A = k5_numbers => ( v13_fomodel4(C,A,B) <=> ( r2_tarski(k24_fomodel4(B),C) & r2_tarski(k26_fomodel4(B),C) & r2_tarski(k27_fomodel4(B),C) & r2_tarski(k28_fomodel4(B),C) ) ) ) & ( A = 1 => ( v13_fomodel4(C,A,B) <=> ( r2_tarski(k24_fomodel4(B),C) & r2_tarski(k26_fomodel4(B),C) & r2_tarski(k27_fomodel4(B),C) & r2_tarski(k28_fomodel4(B),C) & r2_tarski(k29_fomodel4(B),C) & r2_tarski(k30_fomodel4(B),C) ) ) ) & ( A = 2 => ( v13_fomodel4(C,A,B) <=> ( r2_tarski(k24_fomodel4(B),C) & r2_tarski(k25_fomodel4(B),C) & r2_tarski(k26_fomodel4(B),C) & r2_tarski(k27_fomodel4(B),C) & r2_tarski(k28_fomodel4(B),C) & r2_tarski(k29_fomodel4(B),C) & r2_tarski(k30_fomodel4(B),C) & r2_tarski(k31_fomodel4(B),C) & r2_tarski(k32_fomodel4(B),C) & r2_tarski(k33_fomodel4(B),C) & r2_tarski(k34_fomodel4(B),C) & r2_tarski(k35_fomodel4(B),C) ) ) ) & ~ ( A != k5_numbers & A != 1 & A != 2 & ~ ( v13_fomodel4(C,A,B) <=> C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d62_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k50_modelc_1(A,B,C) = a_3_1_modelc_1(A,B,C) ) ) ) )).
fof(d62_modelc_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k15_modelc_2,u1_modelc_2(k42_modelc_2(k43_modelc_2,k46_modelc_2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(k42_modelc_2(k43_modelc_2,k46_modelc_2))))) ) => ( A = k47_modelc_2 <=> ! [B] : ( r2_tarski(B,k15_modelc_2) => k1_funct_1(A,B) = k45_modelc_2(B) ) ) ) )).
fof(d63_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_trees_4(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => k58_abcmiz_1(A,B,C) = k11_lang1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),C,k55_abcmiz_1(A,B)) ) ) ) )).
fof(d63_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k39_fomodel4(A) = k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k13_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A),k25_fomodel4(A),k26_fomodel4(A),k27_fomodel4(A),k28_fomodel4(A),k29_fomodel4(A),k30_fomodel4(A),k31_fomodel4(A)),k9_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k32_fomodel4(A),k33_fomodel4(A),k34_fomodel4(A),k35_fomodel4(A))) ) )).
fof(d63_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => k51_modelc_1(A,B,C,D) = a_4_0_modelc_1(A,B,C,D) ) ) ) ) )).
fof(d63_modelc_2,axiom,( ! [A] : ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r7_modelc_2(A,B) <=> r6_modelc_2(k43_modelc_2,k46_modelc_2,A,k21_modelc_2(k42_modelc_2(k43_modelc_2,k46_modelc_2),k47_modelc_2,B)) ) ) ) )).
fof(d64_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) => k63_abcmiz_1(A,B,C) = a_3_0_abcmiz_1(A,B,C) ) ) ) )).
fof(d64_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel4(B,k5_numbers,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [C] : ( v11_fomodel4(C,A,B) => k40_fomodel4(A,B,C) = k22_fomodel3(A,k35_fomodel1(A),k8_fomodel4(A,B,C),k7_fomodel3(A,C)) ) ) ) )).
fof(d64_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) => ( E = k52_modelc_1(A,B,C,D) <=> ! [F] : ( r2_tarski(F,A) => k1_funct_1(k31_modelc_1(A,E),F) = k1_funct_1(k5_funct_3(D,A),F) ) ) ) ) ) ) ) )).
fof(d64_modelc_2,axiom,( ! [A] : ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_modelc_2)) => ( r8_modelc_2(A,B) <=> ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_tarski(C,B) => r7_modelc_2(A,C) ) ) ) ) ) )).
fof(d65_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m3_abcmiz_1(C,A) => k64_abcmiz_1(A,B,C) = k40_abcmiz_1(A,k63_abcmiz_1(A,B,k41_abcmiz_1(A,C)),k62_abcmiz_1(A,B,k42_abcmiz_1(A,C))) ) ) ) )).
fof(d65_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) => k53_modelc_1(A,B,C,D,E) = k2_lattices(k48_modelc_1(A,B,C),D,k25_modelc_1(k48_modelc_1(A,B,C),E)) ) ) ) ) ) )).
fof(d65_modelc_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k9_modelc_2)) => k48_modelc_2(A) = a_1_0_modelc_2(A) ) )).
fof(d66_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( D = k65_abcmiz_1(A,B,C) <=> ( k1_relset_1(k2_abcmiz_1,D) = k4_subset_1(k2_abcmiz_1,k1_relset_1(k2_abcmiz_1,B),k1_relset_1(k2_abcmiz_1,C)) & ! [E] : ( m1_subset_1(E,k2_abcmiz_1) => ( r2_tarski(E,k1_relset_1(k2_abcmiz_1,D)) => k1_funct_1(D,E) = k59_abcmiz_1(A,C,k59_abcmiz_1(A,B,k35_abcmiz_1(E,A))) ) ) ) ) ) ) ) ) )).
fof(d66_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k72_aofa_i00(A,B,C,D,E) = k65_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E)) ) ) ) ) ) )).
fof(d66_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( v4_funct_1(C) => ! [D] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k40_fomodel2(A)) => ( ~ ( ~ v10_fomodel4(k2_xboole_0(C,k6_domain_1(k40_fomodel2(A),D)),A,B) & k7_subset_1(k15_fomodel1(A),k16_fomodel1(A),k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k2_xboole_0(C,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k37_fomodel2(A,D)))))) != k1_xboole_0 & k42_fomodel4(A,B,C,D) != k2_xboole_0(C,k1_tarski(k17_fomodel0(k3_funct_2(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D),o_3_2_fomodel4(A,C,D),k37_fomodel2(A,D)))) ) & ( ~ ( ~ v10_fomodel4(k2_xboole_0(C,k6_domain_1(k40_fomodel2(A),D)),A,B) & k7_subset_1(k15_fomodel1(A),k16_fomodel1(A),k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k2_xboole_0(C,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k37_fomodel2(A,D)))))) != k1_xboole_0 ) => k42_fomodel4(A,B,C,D) = C ) ) ) ) ) ) )).
fof(d66_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => k54_modelc_1(A,B,C,D,E) = k51_modelc_1(A,B,C,k53_modelc_1(A,B,C,D,k52_modelc_1(A,B,C,E))) ) ) ) ) ) )).
fof(d67_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k73_aofa_i00(A,B,C,D,E) = k66_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E)) ) ) ) ) ) )).
fof(d67_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_modelc_1(C,A,B) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_modelc_1(E,A,B) => ( E = k55_modelc_1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,A,E,F) = k3_funct_2(k4_ordinal1,A,C,k1_nat_1(F,D)) ) ) ) ) ) ) ) )).
fof(d68_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k74_aofa_i00(A,B,C,D,E,F) = k67_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F)) ) ) ) ) ) ) )).
fof(d68_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_funct_2(B,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) => ( v16_fomodel4(B,A) <=> ! [C] : ( v12_fomodel2(C,A) => v12_fomodel2(k1_funct_1(B,C),A) ) ) ) ) )).
fof(d68_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_modelc_1(C,A,B) => ! [D] : ( m1_modelc_1(D,A,B) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(F,E) => k56_modelc_1(A,B,C,D,E,F) = k1_funct_1(C,E) ) & ( r1_xxreal_0(F,E) => k56_modelc_1(A,B,C,D,E,F) = k1_funct_1(D,k6_xcmplx_0(E,F)) ) ) ) ) ) ) ) ) )).
fof(d69_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k75_aofa_i00(A,B,C,D,E,F) = k68_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F)) ) ) ) ) ) ) )).
fof(d69_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_modelc_1(C,A,B) => ! [D] : ( m1_modelc_1(D,A,B) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( F = k57_modelc_1(A,B,C,D,E) <=> ! [G] : ( v7_ordinal1(G) => k1_funct_1(F,G) = k56_modelc_1(A,B,C,D,G,E) ) ) ) ) ) ) ) ) )).
fof(d6_abcmiz_0,axiom,( ! [A] : ( l1_abcmiz_0(A) => ( v5_abcmiz_0(A) <=> ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => k1_abcmiz_0(A,k1_abcmiz_0(A,B)) = B ) ) ) )).
fof(d6_abcmiz_1,axiom,( k8_abcmiz_1 = 2 )).
fof(d6_abcmiz_a,axiom,( k8_abcmiz_a = k4_tarski(k6_abcmiz_1,k4_tarski(k1_xboole_0,k5_numbers)) )).
fof(d6_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r6_absred_0(A,B,C) <=> ( B = C | r5_absred_0(A,B,C) ) ) ) ) ) )).
fof(d6_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) => ( A = k8_aescip_1 <=> ! [B] : ( m2_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [C] : ( m2_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k2_finseq_1(4)) & r2_tarski(E,k2_finseq_1(4)) & ! [F] : ( m2_finseq_2(F,k5_margrel1,k4_finseq_2(8,k5_margrel1)) => ! [G] : ( m2_finseq_2(G,k5_margrel1,k4_finseq_2(8,k5_margrel1)) => ~ ( F = k1_funct_1(k1_funct_1(B,D),E) & G = k1_funct_1(k1_funct_1(C,D),E) & k1_funct_1(k1_funct_1(k2_aescip_1(4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),A,B,C),D),E) = k11_descip_1(8,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v6_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,C) & r2_hidden(H,C) & r2_hidden(I,D) & r2_hidden(J,D) & r5_aff_1(A,B,C) & r5_aff_1(A,B,D) & r1_aff_1(A,G,E,K) & r1_aff_1(A,H,F,K) & r1_aff_1(A,G,I,L) & r1_aff_1(A,H,J,L) & r2_analoaf(A,E,I,K,L) ) => ( B = C | B = D | C = D | r1_aff_1(A,G,E,I) | r1_aff_1(A,H,F,J) | K = L | r2_analoaf(A,E,I,F,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_aff_4(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k3_aff_4(A,B,C) <=> ( r2_tarski(B,D) & r1_aff_4(A,C,D) & v1_aff_4(D,A) ) ) ) ) ) ) ) )).
fof(d6_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : k7_afinsq_1(A,B,C) = k1_ordinal4(k1_ordinal4(k5_afinsq_1(A),k5_afinsq_1(B)),k5_afinsq_1(C)) )).
fof(d6_afinsq_2,axiom,( ! [A] : ! [B] : ( r2_afinsq_2(A,B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,A) & r2_tarski(D,B) ) => r1_xxreal_0(C,D) ) ) ) ) )).
fof(d6_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_afproj(A,B) = k6_eqrel_1(k2_afproj(A),k2_afproj(A),k4_afproj(A),B) ) ) )).
fof(d6_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) => ( C = k3_afvect0(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),C,D,E) = k2_afvect0(A,B,D,E) ) ) ) ) ) ) )).
fof(d6_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) => ! [D] : ( ( v1_unialg_1(D) & m1_unialg_2(D,B) ) => ( D = k1_alg_1(A,B,C) <=> u1_struct_0(D) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(A)) ) ) ) ) ) ) )).
fof(d6_algspec1,axiom,( ! [A] : ( m3_algspec1(A) <=> ? [B] : ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_msualg_6(A,B) & l3_msualg_1(A,B) ) ) )).
fof(d6_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ( v5_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_algstr_0(B,A) ) ) ) )).
fof(d6_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v5_algstr_1(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,B,D) = C ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,D,B) = C ) ) ) ) ) ) )).
fof(d6_algstr_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k4_algstr_4(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k4_algstr_4(A,B))))) ) => ( C = k5_algstr_4(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k4_algstr_4(A,B)),C,D) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),B,D) ) ) ) ) ) )).
fof(d6_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ! [C] : ( m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) => ( v4_altcat_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => ? [E] : ( r2_tarski(E,k1_binop_1(B,D,D)) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( r2_tarski(G,k1_binop_1(B,D,F)) => k1_binop_1(k4_altcat_1(A,B,C,D,D,F),G,E) = G ) ) ) ) ) ) ) ) )).
fof(d6_altcat_2,axiom,( ! [A] : ( l1_altcat_1(A) => ( v1_altcat_2(A) <=> ! [B] : ~ ( r2_tarski(B,u1_struct_0(A)) & k1_binop_1(u1_altcat_1(A),B,B) = k1_xboole_0 ) ) ) )).
fof(d6_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_altcat_3(A,B,C) <=> ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,B) != k1_xboole_0 & ? [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) & v3_altcat_3(D,A,B,C) ) ) ) ) ) ) )).
fof(d6_altcat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_altcat_5(E,A,D,B,C) => ( v3_altcat_5(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_altcat_5(G,A,F,B,C) => ~ ( v2_altcat_5(G,A,B,C,F) & ! [H] : ( m1_subset_1(H,k1_altcat_1(A,F,D)) => ~ ( r2_tarski(H,k1_altcat_1(A,F,D)) & ! [I] : ~ ( r2_tarski(I,B) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,k1_altcat_1(A,D,J)) => ~ ( J = k1_funct_1(C,I) & K = k1_funct_1(E,I) & k1_funct_1(G,I) = k5_altcat_1(A,F,D,J,H,K) ) ) ) ) & ! [I] : ( m1_subset_1(I,k1_altcat_1(A,F,D)) => ( ! [J] : ~ ( r2_tarski(J,B) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,k1_altcat_1(A,D,K)) => ~ ( K = k1_funct_1(C,J) & L = k1_funct_1(E,J) & k1_funct_1(G,J) = k5_altcat_1(A,F,D,K,I,L) ) ) ) ) => H = I ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => k5_ami_2(A) = k1_funct_1(A,k4_ordinal1) ) )).
fof(d6_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k5_ami_3(A,B) = k3_xtuple_0(4,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d6_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v7_ordinal1(D) => k4_ami_wstd(A,B,C,D) = k1_ami_wstd(A,B,k2_xcmplx_0(k3_ami_wstd(A,B,C),D)) ) ) ) ) )).
fof(d6_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ( v3_amistd_1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) <=> ? [E] : ( ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) & k7_partfun1(k4_ordinal1,E,1) = C & k7_partfun1(k4_ordinal1,E,k3_finseq_1(E)) = D & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | r2_tarski(k7_partfun1(k4_ordinal1,E,k1_nat_1(F,1)),k3_amistd_1(A,B,k7_partfun1(k4_ordinal1,E,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => k5_amistd_4(A,B,C) = k7_subset_1(u1_struct_0(B),k4_amistd_4(A,B,C),k3_amistd_4(A,B,C)) ) ) ) )).
fof(d6_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) ) => ( v6_amistd_5(B,A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & ~ v2_compos_1(D,B) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & ~ v1_xboole_0(E) & v1_finset_1(E) & v4_extpro_1(E,A,B,D) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(B)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(A,B)) & v1_partfun1(G,u1_struct_0(B)) ) => ( ( r1_tarski(E,F) & r1_tarski(k9_memstr_0(A,B,E,C),G) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(B)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(B)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( r1_tarski(D,H) & r1_tarski(k6_compos_1(B,D,C),I) ) => ! [J] : ( v7_ordinal1(J) => k5_relat_1(k5_extpro_1(A,B,H,F,J),k9_xtuple_0(k6_memstr_0(A,B,E))) = k5_relat_1(k5_extpro_1(A,B,I,G,J),k9_xtuple_0(k6_memstr_0(A,B,E))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_analmetr(A,B,C) = g2_analmetr(u1_struct_0(A),k1_diraf(u1_struct_0(A),k1_analoaf(A)),k1_analmetr(A,B,C)) ) ) ) )).
fof(d6_analoaf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ( v3_analoaf(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r2_analoaf(A,B,C,D,E) & ~ r2_analoaf(A,B,C,E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ( r2_analoaf(A,B,C,B,F) | r2_analoaf(A,B,C,F,B) ) & ( r2_analoaf(A,D,E,D,F) | r2_analoaf(A,D,E,F,D) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) => ( D = k4_analort(A,B,C) <=> ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & E = k4_tarski(G,H) & F = k4_tarski(I,J) & r2_analort(A,B,C,G,H,I,J) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_collsp(B,k3_anproj_1(A)) => ( B = k4_anproj_1(A) <=> ! [C] : ! [D] : ! [E] : ( r2_hidden(k3_xtuple_0(C,D,E),B) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & C = k2_anproj_1(A,F) & D = k2_anproj_1(A,G) & E = k2_anproj_1(A,H) & ~ v9_struct_0(F,A) & ~ v9_struct_0(G,A) & ~ v9_struct_0(H,A) & r2_anproj_1(A,F,G,H) ) ) ) ) ) ) ) )).
fof(d6_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_anproj_2(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),k1_rlvect_1(A,D,G)) = k4_struct_0(A) => ( E = k5_numbers & F = k5_numbers & G = k5_numbers ) ) ) ) ) ) ) ) ) ) )).
fof(d6_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k2_aofa_a01(A,B) = k21_aofa_a00(A,B,k20_aofa_a00(A,B)) ) ) )).
fof(d6_armstrng,axiom,( ! [A] : k4_armstrng(A) = k8_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A)) )).
fof(d6_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k5_arytm_2(A,B) = a_2_0_arytm_2(A,B) ) ) )).
fof(d6_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => k4_arytm_3(A,B) = k6_ordinal3(A,k3_arytm_3(A,B)) ) ) )).
fof(d6_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v6_asympt_0(A) <=> ? [B] : ( v7_ordinal1(B) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(d6_asympt_1,axiom,( k5_asympt_1 = a_0_0_asympt_1 )).
fof(d6_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k5_autalg_1(A,B),k5_autalg_1(A,B)),k5_autalg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_autalg_1(A,B),k5_autalg_1(A,B)),k5_autalg_1(A,B)))) ) => ( C = k6_autalg_1(A,B) <=> ! [D] : ( m1_autalg_1(D,u1_struct_0(A),u3_msualg_1(A,B),k5_autalg_1(A,B)) => ! [E] : ( m1_autalg_1(E,u1_struct_0(A),u3_msualg_1(A,B),k5_autalg_1(A,B)) => k4_binop_1(k5_autalg_1(A,B),C,D,E) = k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E) ) ) ) ) ) ) )).
fof(d6_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => ( C = k6_autgroup(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k2_group_3(A,D,B) ) ) ) ) ) )).
fof(d6_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( B = k4_bagorder(A) <=> ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r2_hidden(k4_tarski(C,D),B) <=> ~ ( C != D & ! [E] : ( v3_ordinal1(E) => ~ ( r2_tarski(E,A) & ~ r1_xxreal_0(k1_recdef_1(D,E),k1_recdef_1(C,E)) & ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(E,F) & r2_tarski(F,A) ) => k1_recdef_1(C,F) = k1_recdef_1(D,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v6_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,C),B) = k4_struct_0(A) ) ) ) ) )).
fof(d6_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_bcialg_2(B,A) <=> ? [C] : ( v7_ordinal1(C) & ~ v8_ordinal1(C) & k1_bcialg_2(A,k4_struct_0(A),B,C) = k4_struct_0(A) ) ) ) ) )).
fof(d6_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) => ( B = k5_bcialg_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k9_nat_1(u1_struct_0(A),B,C,k5_numbers) = k4_struct_0(A) & ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),B,C,k1_nat_1(D,1)) = k1_bcialg_4(A,k9_nat_1(u1_struct_0(A),B,C,D),C) ) ) ) ) ) ) )).
fof(d6_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_bcialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_bcialg_6(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_bcialg_1(A,D,E)) = k1_bcialg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(d6_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( v3_bciideal(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,C,D),E),B) & r2_tarski(E,B) ) => r2_tarski(k1_bcialg_1(A,C,k1_bcialg_1(A,D,k1_bcialg_1(A,D,C))),B) ) ) ) ) ) ) ) )).
fof(d6_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k5_bhsp_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(u1_struct_0(A),D,E) = k1_algstr_0(A,k8_nat_1(u1_struct_0(A),B,E),C) ) ) ) ) ) ) )).
fof(d6_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k5_bhsp_2(A,B,C) = a_3_1_bhsp_2(A,B,C) ) ) ) )).
fof(d6_bhsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r1_bhsp_6(A,B,C) <=> ? [D] : ( v1_xreal_0(D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(F) & r1_tarski(F,B) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(F,G) & r1_tarski(G,B) & r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(D,k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,G,C)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => k5_bilinear(A,B,C,D,E) = k2_bilinear(A,B,C,D,k4_bilinear(A,B,C,E)) ) ) ) ) ) )).
fof(d6_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k5_margrel1) ) => ( D = k6_binari_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,D,E) = k2_binarith(k2_binarith(k7_partfun1(k5_margrel1,B,E),k7_partfun1(k5_margrel1,k2_binari_2(A,C),E)),k7_partfun1(k5_margrel1,k4_binarith(A,B,k2_binari_2(A,C)),E)) ) ) ) ) ) ) ) )).
fof(d6_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => k8_binarith(A,B,C) = k1_binarith(k1_binarith(k9_margrel1(k7_partfun1(k5_margrel1,B,A),k7_partfun1(k5_margrel1,C,A)),k9_margrel1(k7_partfun1(k5_margrel1,B,A),k7_partfun1(k5_margrel1,k4_binarith(A,B,C),A))),k9_margrel1(k7_partfun1(k5_margrel1,C,A),k7_partfun1(k5_margrel1,k4_binarith(A,B,C),A))) ) ) ) )).
fof(d6_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k6_binom(A,B,C) = k9_nat_1(u1_struct_0(A),k4_binom(A),B,C) ) ) ) )).
fof(d6_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r2_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => k1_binop_1(C,D,B) = D ) ) ) )).
fof(d6_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r1_bor_cant(A,B,C,D) <=> ! [E] : ( ( v5_relat_1(E,B) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v2_funct_1(F) & ! [G] : ( v7_ordinal1(G) => k1_prob_2(A,B,D,k1_funct_1(F,G)) = k1_prob_2(A,B,E,G) ) ) => ! [F] : ( v7_ordinal1(F) => k1_funct_1(k1_series_3(k8_prob_1(A,B,E,C)),F) = k3_funct_2(B,k1_numbers,C,k1_prob_2(A,B,k1_prob_3(A,E),F)) ) ) ) ) ) ) ) ) )).
fof(d6_borsuk_1,axiom,( ! [A] : ( l1_struct_0(A) => k10_borsuk_1(A) = k8_eqrel_1(u1_struct_0(A),k6_partfun1(u1_struct_0(A))) ) )).
fof(d6_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ( r2_borsuk_2(A,B,C) => ! [E] : ( m1_borsuk_2(E,A,C,B) => ( E = k2_borsuk_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),E,F) = k1_funct_1(D,k6_xcmplx_0(1,F)) ) ) ) ) ) ) ) ) )).
fof(d6_borsuk_6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) ) => ( A = k4_borsuk_6 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ( ( r1_xxreal_0(B,k7_xcmplx_0(1,2)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) = k5_numbers ) & ( ~ r1_xxreal_0(B,k7_xcmplx_0(1,2)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) = k6_xcmplx_0(k3_xcmplx_0(2,B),1) ) ) ) ) ) )).
fof(d6_borsuk_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k8_toprealb(3))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k8_toprealb(3))))) ) => ( A = k11_borsuk_7 <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k4_euclid_5(k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),k17_sin_cos(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),k5_numbers) ) ) ) )).
fof(d6_bspace,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k2_bspace),k1_zfmisc_1(A)),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace),k1_zfmisc_1(A)),k1_zfmisc_1(A)))) ) => ( B = k6_bspace(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k2_bspace)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k2_binop_1(u1_struct_0(k2_bspace),k1_zfmisc_1(A),k1_zfmisc_1(A),B,C,D) = k4_bspace(A,C,D) ) ) ) ) )).
fof(d6_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_c0sp1(B,A) => ( v1_xboole_0(B) | k2_c0sp1(A,B) = k1_realset1(u2_algstr_0(A),B) ) ) ) ) )).
fof(d6_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k6_c0sp2(A) = a_1_1_c0sp2(A) ) )).
fof(d6_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( B = k4_calcul_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> m2_finseq_1(C,k3_cqc_lang(A)) ) ) ) )).
fof(d6_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( C = k5_card_3(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & r2_tarski(E,B) & D = k1_funct_1(E,A) ) ) ) )).
fof(d6_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( v3_ordinal1(C) => ( ( v1_card_lar(B,A) & r2_tarski(C,A) ) => k1_card_lar(A,B,C) = k2_ordinal2(a_3_1_card_lar(A,B,C)) ) ) ) ) )).
fof(d6_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ( v2_cat_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_hidden(k4_tarski(C,B),k9_xtuple_0(u1_cat_1(A))) <=> k3_graph_1(A,C) = k4_graph_1(A,B) ) ) ) ) ) )).
fof(d6_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ( v1_cat_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( C = E & D = F ) => k2_cat_1(B,C,D) = k2_cat_1(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d6_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,u4_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( E = k7_cat_3(A,B,C,D) <=> ! [F] : ( r2_tarski(F,B) => k7_partfun1(u4_struct_0(A),E,F) = k1_cat_1(A,k7_partfun1(u4_struct_0(A),C,F),D) ) ) ) ) ) ) )).
fof(d6_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_cat_4(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u4_cat_4(A),B,C) ) ) ) )).
fof(d6_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v3_cat_5(A) <=> ( v2_cat_5(u1_struct_0(A)) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ( B = C => k4_cat_1(A,B) = k4_tarski(k4_tarski(C,C),k10_cat_1(C)) ) ) ) & ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) ) => ~ ( C = k3_graph_1(A,B) & D = k4_graph_1(A,B) & ! [E] : ( m2_cat_1(E,C,D) => B != k4_tarski(k4_tarski(C,D),E) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_cat_1(E) & v3_cat_1(E) & v4_cat_1(E) & v5_cat_1(E) & v6_cat_1(E) & l1_cat_1(E) ) => ! [F] : ( ( ~ v2_struct_0(F) & ~ v11_struct_0(F) & v2_cat_1(F) & v3_cat_1(F) & v4_cat_1(F) & v5_cat_1(F) & v6_cat_1(F) & l1_cat_1(F) ) => ! [G] : ( m2_cat_1(G,D,E) => ! [H] : ( m2_cat_1(H,E,F) => ( ( B = k4_tarski(k4_tarski(D,E),G) & C = k4_tarski(k4_tarski(E,F),H) ) => k1_cat_1(A,B,C) = k4_tarski(k4_tarski(D,F),k9_cat_1(D,E,F,G,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v4_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ~ ( r2_tarski(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ~ ( r1_cat_6(A,C,B) & v2_cat_6(C,A) ) ) ) ) ) ) )).
fof(d6_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_cat_7(D,A,B,C) => ( v2_cat_7(D,A,B,C) <=> ( k1_cat_7(A,B,C) != k1_xboole_0 & ! [E] : ( m1_subset_1(E,k6_cat_6(A)) => ( k1_cat_7(A,C,E) != k1_xboole_0 => ! [F] : ( m1_cat_7(F,A,C,E) => ! [G] : ( m1_cat_7(G,A,C,E) => ( k4_cat_7(A,B,C,E,D,F) = k4_cat_7(A,B,C,E,D,G) => F = G ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_catalg_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( ! [B] : ( r2_hidden(B,k10_xtuple_0(k2_xboole_0(u1_struct_0(A),u4_struct_0(A)))) => ( v1_relat_1(B) & v1_funct_1(B) ) ) => ! [B] : ( B = k4_catalg_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & r2_hidden(k4_tarski(D,E),k2_xboole_0(u1_struct_0(A),u4_struct_0(A))) & r2_hidden(C,k10_xtuple_0(E)) ) ) ) ) ) )).
fof(d6_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_cc0sp1(A) = g1_cfuncdom(k2_cc0sp1(A),k2_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k1_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k1_cc0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k4_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k3_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A))) ) )).
fof(d6_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k5_cc0sp2(A) = g1_clopban2(k2_cc0sp2(A),k2_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k1_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k1_cc0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k4_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k3_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k4_cc0sp2(A)) ) )).
fof(d6_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( v1_xcmplx_0(B) => ( r1_cfdiff_1(A,B) <=> ? [C] : ( m1_cfdiff_1(C,B) & r1_tarski(C,k1_relset_1(k2_numbers,A)) & ? [D] : ( v1_funct_1(D) & v1_partfun1(D,k2_numbers) & v3_cfdiff_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & ? [E] : ( v1_funct_1(E) & v1_partfun1(E,k2_numbers) & v2_cfdiff_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & ! [F] : ( v1_xcmplx_0(F) => ( r2_hidden(F,C) => k6_xcmplx_0(k7_partfun1(k2_numbers,A,F),k7_partfun1(k2_numbers,A,B)) = k2_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,D,k6_xcmplx_0(F,B)),k10_funct_2(k2_numbers,k2_numbers,E,k6_xcmplx_0(F,B))) ) ) ) ) ) ) ) ) )).
fof(d6_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k6_cfuncdom(A) = g1_clvect_1(k9_funct_2(A,k2_numbers),k4_cfuncdom(A),k1_cfuncdom(A),k3_cfuncdom(A)) ) )).
fof(d6_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( B = k6_cgames_1(A) <=> ? [C] : ( l1_cgames_1(C) & A = C & B = u1_cgames_1(C) ) ) ) )).
fof(d6_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k3_chain_1(A,B,C) = a_3_0_chain_1(A,B,C) ) ) ) )).
fof(d6_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v2_chord(A) <=> ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( B != C => r1_chord(A,B,C) ) ) ) ) ) )).
fof(d6_circcmb3,axiom,( ! [A] : ( l1_msualg_1(A) => ( v4_circcmb3(A) <=> ? [B] : ( ~ v1_xboole_0(B) & v1_finset_1(B) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,C) & v1_finseq_1(D) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_finseq_2(C,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,B),B))) & A = k5_circcomb(E,D) ) ) ) ) ) ) )).
fof(d6_circcomb,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( ~ v11_struct_0(C) & v1_msualg_1(C) & l1_msualg_1(C) ) => ( C = k5_circcomb(A,B) <=> ( u1_struct_0(C) = k2_xboole_0(k10_xtuple_0(B),k1_tarski(k4_tarski(B,A))) & u4_struct_0(C) = k1_tarski(k4_tarski(B,A)) & k1_funct_1(u1_msualg_1(C),k4_tarski(B,A)) = B & k1_funct_1(u2_msualg_1(C),k4_tarski(B,A)) = k4_tarski(B,A) ) ) ) ) )).
fof(d6_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => k6_circtrm1(A,B,C,D) = g3_msualg_1(k1_circtrm1(A,B,C),k4_circtrm1(A,B,C,D),k5_circtrm1(A,B,C,D)) ) ) ) ) )).
fof(d6_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ( D = k6_circuit1(A,B,C) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) & E = a_3_1_circuit1(A,B,C) & D = k1_xxreal_2(E) ) ) ) ) ) ) )).
fof(d6_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ( v1_circuit2(C,A,B) <=> r8_pboole(u1_struct_0(A),C,k6_circuit2(A,B,C)) ) ) ) ) )).
fof(d6_classes1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k4_classes1(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_xboole_0 & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k9_setfam_1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k3_tarski(k10_xtuple_0(k5_relat_1(C,D))) ) ) ) ) ) ) )).
fof(d6_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_clopban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_clopban1(C,A,B) <=> ? [D] : ( v1_xreal_0(D) & r1_xxreal_0(k5_numbers,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)),k3_xcmplx_0(D,k2_normsp_0(A,E))) ) ) ) ) ) ) )).
fof(d6_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k7_clopban2(A) = g6_algstr_0(k8_clopban1(A,A),k6_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),k5_clopban2(A),k6_clopban2(A),k8_csspace(k6_clopban1(A,A),k8_clopban1(A,A))) ) )).
fof(d6_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k6_clopban4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k1_clopban3(A,k1_clopban4(A,C)) ) ) ) ) )).
fof(d6_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k5_clvect_2(A,B,C) = a_3_1_clvect_2(A,B,C) ) ) ) )).
fof(d6_coh_sp,axiom,( ! [A] : k5_coh_sp(A) = a_1_2_coh_sp(A) )).
fof(d6_cohsp_1,axiom,( ! [A] : ( v3_cohsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_cohsp_1(B) => r2_tarski(k3_tarski(B),A) ) ) ) )).
fof(d6_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ( v4_collsp(A) <=> ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_collsp(A,B,C,D) ) ) ) ) ) )).
fof(d6_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => k2_combgras(A,B,C,D) = k3_funct_2(u1_incsp_1(A),u1_incsp_1(B),u1_combgras(A,B,C),D) ) ) ) ) )).
fof(d6_compact1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v5_compact1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_connsp_2(C,A,B) & v2_compts_1(C,A) ) ) ) ) )).
fof(d6_compl_sp,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v5_compl_sp(B,A) <=> ! [C] : ( v7_ordinal1(C) => v4_pre_topc(k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(d6_comput_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k3_comput_1(A,B) = k7_funcop_1(k4_finseq_2(A,k4_ordinal1),B) ) ) )).
fof(d6_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(A) => ! [B] : ( v1_xcmplx_0(B) => ( B = k3_comseq_2(A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers,A,E),B))) ) ) ) ) ) ) ) ) )).
fof(d6_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k8_comseq_3(A) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k4_complex1(k8_nat_1(k2_numbers,A,C)) ) ) ) ) )).
fof(d6_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v6_conaffm(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r4_analmetr(A,B,G,B,H) & r4_analmetr(A,B,C,B,D) & r4_analmetr(A,B,E,B,F) & r5_analmetr(A,B,C,E) & r5_analmetr(A,B,D,F) & r4_analmetr(A,C,G,D,H) & r2_analoaf(A,C,D,E,F) ) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = E | r5_analmetr(A,B,G,C) | r4_analmetr(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k4_conlat_1(A) = k2_conlat_1(A) ) )).
fof(d6_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k6_conlat_2(A) = g1_conlat_1(u1_struct_0(A),u1_struct_0(A),k2_lattice3(A)) ) )).
fof(d6_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v6_conmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ( ( v5_analmetr(J,A) & v5_analmetr(K,A) & r2_hidden(B,J) & r2_hidden(D,J) & r2_hidden(F,J) & r2_hidden(H,J) & r2_hidden(C,K) & r2_hidden(E,K) & r2_hidden(G,K) & r2_hidden(I,K) & r2_analoaf(A,D,C,H,G) & r2_analoaf(A,C,B,G,F) & r2_analoaf(A,B,E,F,I) ) => ( r2_hidden(E,J) | r2_hidden(C,J) | r2_hidden(G,J) | r2_hidden(I,J) | r2_hidden(B,K) | r2_hidden(D,K) | r2_hidden(F,K) | r2_hidden(H,K) | r2_analoaf(A,D,E,H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r3_connsp_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) & D = C & v3_connsp_1(D,k1_pre_topc(A,B)) ) ) ) ) ) )).
fof(d6_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => k5_connsp_3(A,B,C) = C ) ) ) )).
fof(d6_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k4_convex4(A,B) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(D) & k2_relset_1(u1_struct_0(A),D) = k1_convex4(A,B) & C = k4_rlvect_1(A,k3_convex4(A,D,B)) ) ) ) ) ) )).
fof(d6_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k7_cqc_sim1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k3_cqc_lang(A),k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k4_ordinal1))) & C = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,B) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k5_cqc_lang(A)) = k5_numbers & ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v5_relat_1(I,k3_qc_lang1(A)) & v3_card_1(I,H) & m2_finseq_1(I,k2_qc_lang1(A)) ) => ! [J] : ( m2_subset_1(J,k6_qc_lang1(A),k8_qc_lang1(A,H)) => ( k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k4_cqc_lang(H,A,J,I)) = k5_numbers & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k6_cqc_lang(A,E)) = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,E) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k7_cqc_lang(A,E,F)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,E),k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,F)) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k11_cqc_lang(A,G,E)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,E),1) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) => ( B != k1_xboole_0 => k3_cqc_the1(A,B) = k1_xtuple_0(k1_funct_1(B,k3_finseq_1(B))) ) ) ) )).
fof(d6_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r6_cqc_the3(A,B,C) <=> ( v6_qc_lang1(B,A) & ? [D] : ( m1_subset_1(D,k4_ordinal1) & r1_xxreal_0(1,D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = D & k1_funct_1(E,1) = C & k1_funct_1(E,D) = B & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & ~ r1_xxreal_0(D,F) & ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( H = k1_funct_1(E,F) & k1_funct_1(E,k1_nat_1(F,1)) = k11_cqc_lang(A,G,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_csspace,axiom,( k4_csspace = k8_funcop_1(k2_numbers,k4_ordinal1,k5_complex1) )).
fof(d6_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => k5_csspace4(A,B) = g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B))) ) ) )).
fof(d6_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k3_dblseq_1(A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(k1_numbers,B,C) = k1_seq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,C)) ) ) ) ) )).
fof(d6_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_decomp_1(A,B) = k9_subset_1(u1_struct_0(A),B,k2_pre_topc(A,k1_tops_1(A,B))) ) ) )).
fof(d6_dickson,axiom,( ! [A] : ( v1_relat_1(A) => k3_dickson(A) = k6_subset_1(A,k2_relat_1(A)) ) )).
fof(d6_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) => ( C = k6_diff_1(A,B) <=> ( r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k5_numbers),A) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k1_nat_1(D,1)),k3_diff_1(k1_seqfunc(k1_numbers,k1_numbers,C,D),B)) ) ) ) ) ) ) )).
fof(d6_dilworth,axiom,( ! [A] : ( ( v4_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( v7_ordinal1(B) => ( B = k2_dilworth(A) <=> ( ? [C] : ( v1_finset_1(C) & v2_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & k4_card_1(C) = B ) & ! [C] : ( ( v1_finset_1(C) & v2_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_xxreal_0(k4_card_1(C),B) ) ) ) ) ) )).
fof(d6_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v1_diraf(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_analoaf(A,B,C,C,B) & r2_analoaf(A,B,C,D,D) & ( ( r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,C,F,G) ) => ( B = C | r2_analoaf(A,D,E,F,G) ) ) & ( r2_analoaf(A,B,C,B,D) => r2_analoaf(A,C,B,C,D) ) ) ) ) ) ) ) ) & ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_analoaf(A,B,C,B,D) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,D,C,E) & C != E ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_analoaf(A,D,B,B,E) & B != D & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_analoaf(A,C,B,B,F) & r2_analoaf(A,C,D,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k3_finseq_2(A)))) => ( B = k6_dist_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(A))) => ( r2_tarski(C,B) <=> ? [D] : ( m2_finseq_1(D,A) & C = k5_dist_1(A,D) ) ) ) ) ) ) )).
fof(d6_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( v1_xreal_0(D) => ( D = k6_dist_2(A,B,C) <=> ! [E] : ( m1_dist_2(E,A,B) => D = k4_dist_2(A,B,E,C) ) ) ) ) ) ) )).
fof(d6_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & v3_dtconstr(A) & l1_lang1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k7_dtconstr(A)) => ! [C] : ( m1_trees_4(C,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ( m2_dtconstr(C,A,B) <=> r1_lang1(A,B,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),C)) ) ) ) ) )).
fof(d6_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k10_funcsdom(u1_struct_0(A))))) => ( B = k7_dualsp01(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v2_hahnban(C,A) & v3_hahnban(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) ) )).
fof(d6_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_dynkin(C,A) => ( C = k5_dynkin(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( m1_dynkin(D,A) => ( r1_tarski(B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d6_e_siec,axiom,( ! [A] : k4_e_siec(A) = g1_e_siec(k1_tarski(A),k4_relat_1(k1_tarski(A)),k4_relat_1(k1_tarski(A))) )).
fof(d6_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => k3_ec_pf_1(A) = k6_subset_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k6_domain_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k4_struct_0(A),k4_struct_0(A),k4_struct_0(A)))) ) )).
fof(d6_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m2_subset_1(B,k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k3_ec_pf_1(k9_int_3(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A))))) ) => ( r1_ec_pf_2(A,B,C) <=> k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A)),C,B) = k4_struct_0(k9_int_3(A)) ) ) ) ) )).
fof(d6_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v22_algstr_0(C) & l4_algstr_0(C) ) => ( C = k6_endalg(A,B) <=> ( u1_struct_0(C) = k4_endalg(A,B) & u2_algstr_0(C) = k5_endalg(A,B) & k5_struct_0(C) = k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)) ) ) ) ) ) )).
fof(d6_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => ( k4_ens_1(A,B) = k3_ens_1(A,C) => k6_ens_1(A,B,C) = k4_tarski(k1_domain_1(A,A,k3_ens_1(A,B),k4_ens_1(A,C)),k3_relat_1(k2_xfamily(B),k2_xfamily(C))) ) ) ) ) )).
fof(d6_entropy1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( v4_partfun3(B) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( C = k3_entropy1(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => ( ( ~ r1_xxreal_0(k1_funct_1(B,D),k5_numbers) => k1_funct_1(C,D) = k3_power(A,k1_funct_1(B,D)) ) & ( k1_funct_1(B,D) = k5_numbers => k1_funct_1(C,D) = k5_numbers ) ) ) ) ) ) ) ) ) ) )).
fof(d6_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( I = k6_enumset1(A,B,C,D,E,F,G,H) <=> ! [J] : ( r2_hidden(J,I) <=> ~ ( J != A & J != B & J != C & J != D & J != E & J != F & J != G & J != H ) ) ) )).
fof(d6_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( D = k11_eqrel_1(A,B,C) <=> ( r2_tarski(B,D) & r2_tarski(D,C) ) ) ) ) ) ) )).
fof(d6_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),k4_equation(A)) => ( r2_equation(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(k4_equation(A),D)) => ( r2_tarski(E,k1_funct_1(C,D)) => r1_equation(A,B,D,E) ) ) ) ) ) ) ) )).
fof(d6_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers))) ) => ( B = k13_euclid(A) <=> ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k2_binop_1(k1_euclid(A),k1_euclid(A),k1_numbers,B,C,D) = k12_euclid(k8_euclid(A,C,D)) ) ) ) ) ) )).
fof(d6_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k6_euclid_3(A,B,C,D) = a_4_0_euclid_3(A,B,C,D) ) ) ) ) )).
fof(d6_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ( v4_euclid_7(B,A) <=> ! [C] : ( ( v3_euclid_7(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ( r1_tarski(B,C) => C = B ) ) ) ) ) )).
fof(d6_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => k7_euclid_8(A,B,C) = k22_rvsum_1(A,k5_euclid_8(B,C)) ) ) ) )).
fof(d6_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => k3_euclidlp(A,B,C) = k3_seq_4(k2_euclidlp(A,B,C)) ) ) ) )).
fof(d6_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) ) => ( v6_euclmetr(A) <=> v11_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(d6_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k3_exchsort(A) = k5_ordinal3(k2_exchsort(A),k1_exchsort(A)) ) )).
fof(d6_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) ) => k4_extpro_1(A,B,C,D) = k2_extpro_1(A,B,k3_extpro_1(A,B,D,C),C) ) ) ) ) )).
fof(d6_facirc_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k3_facirc_1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k9_margrel1(B,C) ) ) ) ) )).
fof(d6_facirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m2_subset_1(E,u1_struct_0(k3_facirc_2(B,C,D)),k3_msafree2(k3_facirc_2(B,C,D))) => ( E = k6_facirc_2(A,B,C,D) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k1_nat_1(F,1) & E = k12_facirc_1(k1_funct_1(C,A),k1_funct_1(D,A),k5_facirc_2(F,C,D)) ) ) ) ) ) ) ) ) )).
fof(d6_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r2_fdiff_1(A,B) <=> ( r1_tarski(B,k1_relset_1(k1_numbers,A)) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => r1_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d6_fdiff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r3_fdiff_3(B,A) => ! [C] : ( v1_xreal_0(C) => ( C = k2_fdiff_3(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v9_ordinal1(D) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k10_xtuple_0(E) = k1_tarski(A) & r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),k1_relset_1(k1_numbers,B)) & ! [F] : ( v7_ordinal1(F) => ~ r1_xxreal_0(k1_funct_1(D,F),k5_numbers) ) ) => C = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),B),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,B)))) ) ) ) ) ) ) ) ) )).
fof(d6_ff_siec,axiom,( k6_ff_siec = k1_ff_siec(k1_xboole_0,k1_xboole_0) )).
fof(d6_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => k6_fib_num2(A) = k1_fib_num2(k2_fib_num2,k3_xboole_0(k4_fib_num2,k2_finseq_1(A))) ) )).
fof(d6_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v3_filter_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_lattices(A,k2_lattices(A,B,D),C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_lattices(A,k2_lattices(A,B,E),C) => r1_lattices(A,E,D) ) ) ) ) ) ) ) )).
fof(d6_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_filter_1(A,B))) => ( D = k5_filter_1(A,B,C) <=> ! [E] : ( ( v1_partfun1(E,u1_struct_0(A)) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( E = k8_filter_0(A,B) => D = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),E,C) ) ) ) ) ) ) ) ) )).
fof(d6_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k5_filter_2(A) = u1_struct_0(A) ) )).
fof(d6_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_fin_topo(A,B) = k9_subset_1(u1_struct_0(A),B,k5_fin_topo(A,B)) ) ) )).
fof(d6_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => k6_finance1(A,B,C,D) = a_4_0_finance1(A,B,C,D) ) ) )).
fof(d6_finseq_1,axiom,( ! [A] : k6_finseq_1(A) = k1_xboole_0 )).
fof(d6_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_finseq_2(k1_tarski(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_tarski(A))))) ) => ( B = k7_finseq_2(A) <=> ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k2_finseq_2(C,A) ) ) ) )).
fof(d6_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k6_finseq_4(A,B) <=> ( k3_finseq_1(C) = k6_xcmplx_0(k3_finseq_1(A),k4_finseq_4(A,B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(A,k1_nat_1(D,k4_finseq_4(A,B))) ) ) ) ) ) ) ) )).
fof(d6_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_finseq_8(A,B) <=> ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(k7_nat_d(k1_nat_1(E,k3_finseq_1(B)),1),k3_finseq_1(C)) & k2_finseq_8(A,C,D,k7_nat_d(k1_nat_1(D,k3_finseq_1(B)),1)) = k2_finseq_8(A,C,E,k7_nat_d(k1_nat_1(E,k3_finseq_1(B)),1)) & k2_finseq_8(A,C,D,k7_nat_d(k1_nat_1(D,k3_finseq_1(B)),1)) = B ) => ( r1_xxreal_0(E,D) | r1_xxreal_0(k3_finseq_1(B),k7_nat_d(E,D)) ) ) ) ) ) ) ) ) )).
fof(d6_finset_1,axiom,( ! [A] : ( v5_finset_1(A) <=> ! [B] : ( r2_tarski(B,A) => v1_finset_1(B) ) ) )).
fof(d6_finsub_1,axiom,( ! [A] : ( v1_finset_1(A) => k6_finsub_1(A) = A ) )).
fof(d6_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_fintopo2(A,B) = k3_funct_2(u1_struct_0(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),u1_fintopo2(A),B) ) ) )).
fof(d6_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ( C = k6_fintopo3(A,B) <=> ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = k1_funct_1(C,D) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k1_nat_1(D,1)) = k12_fin_topo(A,E) ) ) ) & k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k5_numbers) = B ) ) ) ) ) )).
fof(d6_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k4_fintopo4(A) = g1_orders_2(k2_finseq_1(A),k3_fintopo4(A)) ) ) )).
fof(d6_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v2_fintopo6(B,A) <=> ( r1_xxreal_0(1,k3_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_xxreal_0(1,C) & D = k1_funct_1(B,C) ) => ( r1_xxreal_0(k3_finseq_1(B),C) | r2_tarski(k1_funct_1(B,k1_nat_1(C,1)),k1_fin_topo(A,D)) ) ) ) ) ) ) ) ) )).
fof(d6_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k6_fomodel1(A) = k8_relset_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers,u1_fomodel1(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))) ) )).
fof(d6_fomodel2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k6_fomodel2(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_tarski(D,k9_xtuple_0(A)) => k1_funct_1(C,D) = k3_relat_1(k1_funct_1(A,D),B) ) ) ) ) ) ) )).
fof(d6_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( v7_ordinal1(C) => k9_fomodel3(A,B,C) = k8_fomodel3(A,A,B,C) ) ) ) )).
fof(d6_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( v7_ordinal1(C) => k5_fomodel4(A,B,C) = k8_funct_7(k4_fomodel4(A,B),C) ) ) ) )).
fof(d6_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( v3_frechet(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,k2_pre_topc(A,B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),D),B) & r2_tarski(C,k2_frechet(A,D)) ) ) ) ) ) ) ) )).
fof(d6_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k6_fscirc_1(A,B,C) = k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)),k4_facirc_1) )).
fof(d6_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_1(E,A) => ! [F] : ( m2_finseq_1(F,B) => ( F = k4_fsm_1(A,B,C,D,E) <=> ( k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(E)) => k1_funct_1(F,G) = k1_funct_1(u3_fsm_1(A,B,C),k4_tarski(k1_funct_1(k2_fsm_1(A,C,D,E),G),k1_funct_1(E,G))) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_2(B,A) ) => ( v5_fsm_2(B,A) <=> ! [C] : ( m1_subset_1(C,A) => r2_fsm_2(A,C,B) ) ) ) ) )).
fof(d6_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => ! [D] : ( ( v3_fsm_3(D,A,k9_flang_1(A)) & l2_fsm_3(D,A,k9_flang_1(A)) ) => ( D = k4_fsm_3(A,B,C) <=> ( g1_fsm_3(A,k9_flang_1(A),u1_struct_0(D),u1_rewrite3(k9_flang_1(A),D),u1_fsm_3(A,k9_flang_1(A),D)) = k2_fsm_3(A,B,g1_fsm_3(A,B,u1_struct_0(C),u1_rewrite3(B,C),u1_fsm_3(A,B,C))) & u2_fsm_3(A,k9_flang_1(A),D) = a_4_1_fsm_3(A,B,C,D) ) ) ) ) ) ) )).
fof(d6_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k6_ftacell1(A,B,C,D,E) = k12_gfacirc1(k12_gfacirc1(A,B,C),E,D) )).
fof(d6_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_funcop_1(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) ) ) ) ) )).
fof(d6_funcsdom,axiom,( ! [A] : k10_funcsdom(A) = g1_rlvect_1(k9_funct_2(A,k1_numbers),k8_funcsdom(A),k5_funcsdom(A),k7_funcsdom(A)) )).
fof(d6_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( C = k7_relat_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( r2_hidden(E,k9_xtuple_0(A)) & r2_hidden(E,B) & D = k1_funct_1(A,E) ) ) ) ) )).
fof(d6_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( E = k5_funct_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,A) => k3_funct_2(A,C,E,F) = k2_xtuple_0(k3_funct_2(A,k2_zfmisc_1(B,C),D,F)) ) ) ) ) ) ) ) )).
fof(d6_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k11_funct_3(A) <=> ( k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k4_tarski(C,C) ) ) ) ) )).
fof(d6_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k9_funct_4(A,B,C,D,E,F) = k1_funct_4(k4_funct_4(A,B,D,E),k17_funcop_1(C,F)) )).
fof(d6_funct_5,axiom,( k7_funct_5 = k18_funcop_1(k5_ordinal1,k5_ordinal1,k5_ordinal1) )).
fof(d6_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => k5_funct_6(A) = k1_funct_5(k5_relat_1(k4_funct_5(A),k2_zfmisc_1(k3_funct_6(k1_funct_6(A)),k9_xtuple_0(A)))) ) )).
fof(d6_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_xboole_0(A) => ( B = k5_funct_7(A) <=> v1_xboole_0(B) ) ) & ( ~ v1_xboole_0(A) => ( B = k5_funct_7(A) <=> B = k9_xtuple_0(k1_funct_1(A,1)) ) ) ) ) )).
fof(d6_funct_8,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v5_funct_8(C,A,B) <=> ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(D,k1_relset_1(A,C)) & r2_hidden(k4_xcmplx_0(D),k1_relset_1(A,C)) ) => k1_funct_1(C,k4_xcmplx_0(D)) = k4_xcmplx_0(k1_funct_1(C,D)) ) ) ) ) ) ) )).
fof(d6_functor0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( l1_functor0(C,A,B) => ( v4_functor0(C,A,B) <=> v2_funct_1(u1_functor0(A,B,C)) ) ) ) ) )).
fof(d6_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( r2_functor2(A,B,C,D) <=> ( r1_functor2(A,B,C,D) & ? [E] : ( m1_functor2(E,A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k1_altcat_1(A,F,G) != k1_xboole_0 => ! [H] : ( m1_subset_1(H,k1_altcat_1(A,F,G)) => k5_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,C,G),k3_functor0(A,B,D,G),k6_functor0(A,B,C,F,G,H),k2_functor2(A,B,C,D,E,G)) = k5_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,D,F),k3_functor0(A,B,D,G),k2_functor2(A,B,C,D,E,F),k6_functor0(A,B,D,F,G,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_functor3(E,A,B,C,D) => ( r1_functor3(A,B,C,D) => ! [F] : ( m1_functor3(F,A,B,D,C) => ( F = k8_functor3(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k1_funct_1(F,G) = k1_altcat_3(B,k3_functor0(A,B,C,G),k3_functor0(A,B,D,G),k2_functor2(A,B,C,D,E,G)) ) ) ) ) ) ) ) ) ) )).
fof(d6_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k3_fuznum_1(A,B) = k1_xxreal_2(k2_relset_1(k1_numbers,B)) ) ) )).
fof(d6_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_fuzzy_1(A) = k7_rfunct_1(k1_xboole_0,A) ) )).
fof(d6_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k3_fvaluat1(A,B,C) = k1_binop_1(k4_group_1(A),B,C) ) ) ) )).
fof(d6_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k9_fvsum_1(A,B,C) = k4_finseqop(u1_struct_0(A),u1_struct_0(A),B,k1_fvsum_1(A,C)) ) ) ) )).
fof(d6_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k6_gate_5(A,B,C,D,E) = k10_gate_1(k2_gate_1(B,D),k2_gate_1(A,E),k1_xboole_0) )).
fof(d6_gaussint,axiom,( k5_gaussint = g1_zmodul01(k1_gaussint,k10_subset_1(k5_numbers,k1_gaussint),k2_gaussint,k4_gaussint) )).
fof(d6_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k3_gcd_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k2_gcd_1(A,D) ) ) ) ) ) ) )).
fof(d6_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_finseq_1(B,k3_card_3(A)) => ! [C] : ( m2_finseq_1(C,k3_card_3(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k5_genealg1(A,B,C,D,E,F,G,H) = k1_genealg1(A,k4_genealg1(A,B,C,D,E,F,G),k4_genealg1(A,C,B,D,E,F,G),H) ) ) ) ) ) ) ) ) )).
fof(d6_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k4_geomtrap(A,B,C,D,E) = k2_xcmplx_0(k3_xcmplx_0(k2_geomtrap(A,B,C,D),k2_geomtrap(A,B,C,E)),k3_xcmplx_0(k3_geomtrap(A,B,C,D),k3_geomtrap(A,B,C,E))) ) ) ) ) ) )).
fof(d6_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k6_gfacirc1(A,B,C) = k3_circcomb(k2_circcomb(k5_circcomb(k3_facirc_1,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C))),k5_circcomb(k3_facirc_1,k10_finseq_1(C,A)),k3_circcomb(k5_circcomb(k3_facirc_1,k10_finseq_1(A,B)),k5_circcomb(k3_facirc_1,k10_finseq_1(B,C)),k6_facirc_1(A,B,k3_facirc_1),k6_facirc_1(B,C,k3_facirc_1)),k6_facirc_1(C,A,k3_facirc_1)) )).
fof(d6_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v3_msualg_1(D,k5_gfacirc2(A,B,C)) & v4_msafree2(D,k5_gfacirc2(A,B,C)) & v4_circcomb(D,k5_gfacirc2(A,B,C)) & v6_circcomb(D,k5_gfacirc2(A,B,C)) & l3_msualg_1(D,k5_gfacirc2(A,B,C)) ) => ( D = k6_gfacirc2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & ? [G] : ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & k5_gfacirc2(A,B,C) = k1_funct_1(E,A) & D = k1_funct_1(F,A) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(G,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ( ( I = k1_funct_1(E,H) & J = k1_funct_1(F,H) & K = k1_funct_1(G,H) ) => ( k1_funct_1(E,k1_nat_1(H,1)) = k2_circcomb(I,k25_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(F,k1_nat_1(H,1)) = k3_circcomb(I,k25_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K),J,k26_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K)) & k1_funct_1(G,k1_nat_1(H,1)) = k21_gfacirc1(k1_funct_1(B,k1_nat_1(H,1)),k1_funct_1(C,k1_nat_1(H,1)),K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => k6_glib_000(A) = k1_funct_1(A,k1_glib_000) ) )).
fof(d6_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k3_glib_001(A,B) = k1_funct_1(B,1) ) ) )).
fof(d6_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_glib_000(A))) ) => ( C = k2_glib_002(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v2_glib_001(E,A) & m3_glib_001(E,A) & r1_glib_001(A,B,D,E) ) ) ) ) ) ) )).
fof(d6_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ( v3_glib_003(A) <=> ( r2_tarski(k4_glib_003,k1_relset_1(k4_ordinal1,A)) & ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k1_funct_1(A,k4_glib_003) = B & r1_tarski(k9_xtuple_0(B),k6_glib_000(A)) ) ) ) ) )).
fof(d6_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => k4_glib_004(A) = k2_uproots(k7_glib_000(A),k5_glib_003(A)) ) )).
fof(d6_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_glib_005(C,A,B) => ! [D] : ( r3_glib_005(A,B,C,D) <=> ( r2_tarski(D,k7_glib_000(A)) & r2_tarski(k1_funct_1(k10_glib_000(A),D),k1_relset_1(k6_glib_000(A),C)) & ~ r2_tarski(k1_funct_1(k11_glib_000(A),D),k1_relset_1(k6_glib_000(A),C)) & ~ r1_xxreal_0(k1_funct_1(k5_glib_003(A),D),k1_funct_1(B,D)) ) ) ) ) ) )).
fof(d6_goboard1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v3_goboard1(A) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => v5_valued_0(k2_goboard1(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) ) )).
fof(d6_goboard5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( C = k4_goboard5(A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(k2_goboard2(A))) & r2_hidden(k4_tarski(F,G),k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,E) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),F,G) & ~ ( D = F & k1_nat_1(E,1) = G & C = k3_goboard5(k2_goboard2(A),D,E) ) & ~ ( k1_nat_1(D,1) = F & E = G & C = k3_goboard5(k2_goboard2(A),D,k7_nat_d(E,1)) ) & ~ ( D = k1_nat_1(F,1) & E = G & C = k3_goboard5(k2_goboard2(A),F,G) ) & ~ ( D = F & E = k1_nat_1(G,1) & C = k3_goboard5(k2_goboard2(A),k7_nat_d(D,1),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_gobrd13,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( v7_ordinal1(D) => ( r1_gobrd13(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(C)) & k7_partfun1(A,B,D) = k3_matrix_0(A,C,E,F) & k7_partfun1(A,B,k1_nat_1(D,1)) = k3_matrix_0(A,C,G,H) & ~ ( E = G & k1_nat_1(F,1) = H & r2_hidden(k4_tarski(k1_nat_1(G,1),H),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,k1_nat_1(G,1),H) ) & ~ ( k1_nat_1(E,1) = G & F = H & r2_hidden(k4_tarski(G,k7_nat_d(H,1)),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,G,k7_nat_d(H,1)) ) & ~ ( E = k1_nat_1(G,1) & F = H & r2_hidden(k4_tarski(G,k1_nat_1(H,1)),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,G,k1_nat_1(H,1)) ) & ~ ( E = G & F = k1_nat_1(H,1) & r2_hidden(k4_tarski(k7_nat_d(G,1),H),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,k7_nat_d(G,1),H) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => k4_goedcpuc(A) = a_1_2_goedcpuc(A) ) )).
fof(d6_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( D = k4_goedelcp(A,B,C) <=> ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( E = k8_nat_1(k3_cqc_lang(A),B,C) => D = k2_goedelcp(A,E) ) ) ) ) ) ) ) )).
fof(d6_gr_cy_1,axiom,( ! [A] : ( v1_int_1(A) => k5_gr_cy_1(A) = A ) )).
fof(d6_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( r1_graph_1(A,B,C) <=> ( r1_partfun1(u2_graph_1(B),u2_graph_1(C)) & r1_partfun1(u1_graph_1(B),u1_graph_1(C)) & g1_graph_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A)) = k5_graph_1(B,C) ) ) ) ) ) )).
fof(d6_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_graph_2(A,B,C) <=> ( k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),1) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r2_graph_1(A,k7_partfun1(u1_struct_0(A),B,D),k7_partfun1(u1_struct_0(A),B,k1_nat_1(D,1)),k1_funct_1(C,D)) ) ) ) ) ) ) ) )).
fof(d6_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : k7_graph_3(A,B,C) = k1_nat_1(k4_card_1(k2_graph_3(A,B,C)),k4_card_1(k3_graph_3(A,B,C))) ) ) )).
fof(d6_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_graph_5(A,B,C,D) <=> ( v1_graph_4(B,A) & r1_graph_5(A,B,C,D) ) ) ) ) ) ) )).
fof(d6_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( r2_tarski(D,u4_struct_0(A)) & r1_graph_4(A,B,C,D) ) => ! [D] : ( D = k10_graphsp(A,B,C) <=> ? [E] : ( D = E & r2_tarski(E,u4_struct_0(A)) & r1_graph_4(A,B,C,E) ) ) ) ) ) ) )).
fof(d6_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k5_grcat_1(A,B) = g1_cat_1(B,k1_grcat_1(A,B),k2_grcat_1(A,B),k3_grcat_1(A,B),k4_grcat_1(A,B)) ) ) )).
fof(d6_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l5_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r3_groeb_1(A,B,C,D) <=> k4_termord(A,B,C,D) = k5_struct_0(C) ) ) ) ) ) )).
fof(d6_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) ) => ! [E] : ( m2_ideal_1(E,k12_polynom1(A,B),D) => ( r2_groeb_2(A,B,C,D,E) <=> ( k4_rlvect_1(k12_polynom1(A,B),E) = C & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ~ ( r2_tarski(H,D) & k7_partfun1(u1_struct_0(k12_polynom1(A,B)),E,F) = k10_polynom1(A,B,G,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k3_group_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k2_group_1(A,C) ) ) ) ) )).
fof(d6_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),C),k2_zfmisc_1(u1_struct_0(A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),C),k2_zfmisc_1(u1_struct_0(A),C)))) ) => ( D = k6_group_10(A,B,C) <=> ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),C)) => ? [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(A),C)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,C) & F = k3_funct_2(k2_zfmisc_1(u1_struct_0(A),C),k2_zfmisc_1(u1_struct_0(A),C),D,E) & H = k6_algstr_0(A,B,G) & E = k1_domain_1(u1_struct_0(A),C,G,I) & F = k1_domain_1(u1_struct_0(A),C,H,I) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) ) => ( ( A = k9_xtuple_0(D) & ! [E] : ( r2_hidden(E,A) => ( v1_funct_1(k1_funct_1(D,E)) & v1_funct_2(k1_funct_1(D,E),u1_struct_0(k2_group_19(A,B,E)),u1_struct_0(k2_group_19(A,C,E))) & v1_group_6(k1_funct_1(D,E),k2_group_19(A,B,E),k2_group_19(A,C,E)) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A,B,E)),u1_struct_0(k2_group_19(A,C,E))))) ) ) ) => k7_group_19(A,B,C,D) = k6_group_19(k12_pralg_1(A,B),k12_pralg_1(A,C),D) ) ) ) ) ) )).
fof(d6_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( r1_group_2(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_struct_0(B,D) <=> r1_struct_0(C,D) ) ) ) ) ) ) )).
fof(d6_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ( D = k6_group_3(A,B,C) <=> u1_struct_0(D) = k4_group_3(A,k8_group_2(A,B),C) ) ) ) ) ) )).
fof(d6_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( v2_group_4(B,A) <=> ( g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) != g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) & ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( m1_group_2(B,C) => ( g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) = C | C = g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) ) ) ) ) ) ) ) )).
fof(d6_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k6_group_5(A) = k5_group_5(A,k7_group_2(A),k7_group_2(A)) ) )).
fof(d6_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_group_6(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_algstr_0(A,D,E)) = k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(d6_group_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( v2_group_7(B,A) <=> ! [C] : ( m1_subset_1(C,A) => v2_group_1(k1_group_7(A,B,C)) ) ) ) ) )).
fof(d6_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ( ( r2_tarski(C,A) => k3_group_9(A,B,C) = k1_funct_1(u1_group_9(A,B),C) ) & ( ~ r2_tarski(C,A) => k3_group_9(A,B,C) = k6_partfun1(u1_struct_0(B)) ) ) ) ) )).
fof(d6_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v6_hahnban(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_rlvect_1(A,C,D)) = k3_xcmplx_0(k9_complex1(D),k3_funct_2(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) )).
fof(d6_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( E = k6_hahnban1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k6_algstr_0(A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) ) ) ) ) ) ) ) )).
fof(d6_hallmar1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m2_finseq_1(C,k1_zfmisc_1(A)) => ( m2_hallmar1(C,A,B) <=> ( k4_finseq_1(C) = k4_finseq_1(B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => r1_tarski(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d6_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => k3_henmodel(A) = k11_cqc_sim1(k3_qc_lang1(A)) ) )).
fof(d6_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) ) => ( v4_hermitan(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_complex1(k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(k1_complfld),B,C,C)) = k5_numbers ) ) ) ) )).
fof(d6_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => k6_heyting1(A,B) = k8_subset_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A),a_2_0_heyting1(A,B)) ) )).
fof(d6_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => k6_heyting2(A,B,C) = k1_zfmisc_1(C) ) ) )).
fof(d6_hilbasis,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))))) ) => ( C = k6_hilbasis(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k12_polynom1(B,A))) & v1_polynom1(D,k12_polynom1(B,A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k12_polynom1(B,A))))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(k1_nat_1(B,1)),u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(B,1)),u1_struct_0(A)))) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k1_nat_1(B,1)) & v1_funct_1(G) & v1_partfun1(G,k1_nat_1(B,1)) & v4_valued_0(G) & v2_pre_poly(G) ) => ( ( F = k1_funct_1(C,D) & E = k3_funct_2(k4_ordinal1,u1_struct_0(k12_polynom1(B,A)),D,k1_recdef_1(G,B)) ) => k4_polynom1(k1_nat_1(B,1),A,F,G) = k1_funct_1(E,k5_relat_1(G,B)) ) ) ) ) ) ) ) ) ) )).
fof(d6_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v1_hilbert2(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k4_hilbert1(B,C) ) ) ) ) )).
fof(d6_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_hilbert3(B,A) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => k5_hilbert3(A,B,C) = k1_msualg_3(k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A),k4_hilbert3(A,B),C) ) ) ) )).
fof(d6_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k6_hilbert4(A) = a_1_2_hilbert4(A) ) )).
fof(d6_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v3_trees_2(A) ) => k6_huffman1(A) = k1_xtuple_0(k1_funct_1(A,k1_xboole_0)) ) )).
fof(d6_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k6_hurwitz(A,B,C) = k2_normsp_1(A,B,k12_polynom3(A,k5_hurwitz(A,B,C),C)) ) ) ) )).
fof(d6_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v4_hurwitz2(B,A) <=> v2_hurwitz2(k10_polynom5(A,B),A) ) ) ) )).
fof(d6_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k6_idea_1(A,B) = k4_nat_d(k5_idea_1(A,B),k5_series_1(2,A)) ) ) )).
fof(d6_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v2_incproj(A) <=> ~ ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => r1_incsp_1(A,B,C) ) ) ) ) )).
fof(d6_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A))) => ( v3_incsp_1(B,A) <=> ? [C] : ( m1_subset_1(C,u2_incsp_1(A)) & r4_incsp_1(A,B,C) ) ) ) ) )).
fof(d6_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( B = k1_int_1(A) <=> ( r1_xxreal_0(B,A) & ~ r1_xxreal_0(B,k6_xcmplx_0(A,1)) ) ) ) ) )).
fof(d6_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r4_integr10(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(C,B) => ( r1_integra5(k3_integra5(C,B),A) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,A,k3_integra5(C,B))) ) ) ) & ? [C] : ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,C) = k1_limfunc1(B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k1_relset_1(k1_numbers,C)) => k1_funct_1(C,D) = k4_integra5(D,B,A) ) ) & v6_limfunc1(C) ) ) ) ) ) )).
fof(d6_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( m3_integr15(E,A,B,C,D) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( F = k4_integr15(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( r2_tarski(G,k2_finseq_1(A)) & ! [H] : ( m2_finseq_1(H,k1_numbers) => ~ ( H = k4_finseqop(k1_euclid(A),k1_numbers,E,k1_pdiff_1(G,A)) & k1_funct_1(F,G) = k18_rvsum_1(H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k6_integr16(A,B) = k2_xcmplx_0(k12_integra1(A,k5_comseq_3(A,B)),k3_xcmplx_0(k12_integra1(A,k6_comseq_3(A,B)),k7_complex1)) ) ) )).
fof(d6_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( v1_integr18(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k4_integr18(A,B,C) <=> ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [F] : ( m2_integr18(F,A,B,C,E) => ( ( v2_comseq_2(k2_integra3(B,E)) & k1_seq_2(k2_integra3(B,E)) = k5_numbers ) => ( v3_normsp_1(k3_integr18(A,B,C,E,F),A) & k5_normsp_1(A,k3_integr18(A,B,C,E,F)) = D ) ) ) ) ) ) ) ) ) ) )).
fof(d6_integr1c,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_integr1c(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( r2_integr1c(A,B) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_numbers)) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(C,D) & k1_rcomp_1(C,D) = k1_relset_1(k1_numbers,B) & r1_tarski(k1_rcomp_1(C,D),k1_relset_1(k1_numbers,E)) & r1_tarski(k1_rcomp_1(C,D),k1_relset_1(k1_numbers,F)) & v3_rcomp_1(G) & r1_tarski(k1_rcomp_1(C,D),G) & r2_fdiff_1(E,G) & r2_fdiff_1(F,G) & v1_fcont_1(k2_fdiff_1(E,G)) & v1_fcont_1(k2_fdiff_1(F,G)) & r2_relset_1(k1_numbers,k2_numbers,B,k2_partfun1(k1_numbers,k2_numbers,k2_valued_1(k1_numbers,k1_numbers,k2_numbers,E,k25_valued_1(k1_numbers,k1_numbers,F,k7_complex1)),k1_rcomp_1(C,D))) ) => ( v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k2_fdiff_1(E,G)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k2_fdiff_1(F,G))),k3_integra5(C,D))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k2_fdiff_1(E,G)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k2_fdiff_1(F,G))),k3_integra5(C,D))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( D = k4_integra1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => k1_funct_1(D,E) = k3_xcmplx_0(k2_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,C,E)))),k3_integra1(k2_integra1(A,C,E))) ) ) ) ) ) ) ) ) )).
fof(d6_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( C = k6_interva1(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & B = k2_interva1(A,D,C) ) ) ) ) ) )).
fof(d6_irrat_1,axiom,( k4_power = k4_series_1(k5_irrat_1) )).
fof(d6_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,B,C) => ! [E] : ( m2_cat_1(E,B,C) => ( r1_nattra_1(B,C,D,E) => ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m1_nattra_1(G,B,C,D,E) => k3_isocat_1(A,B,C,D,E,F,G) = k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u4_struct_0(C),k7_cat_1(A,B,F),G) ) ) ) ) ) ) ) ) )).
fof(d6_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) => ( r1_xxreal_0(k17_euclid(B),k5_numbers) | k6_jgraph_4(A,B) = k1_rlvect_1(k15_euclid(2),k19_euclid(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A))))),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A))),k12_euclid(B)) ) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k17_euclid(B),k5_numbers) & k6_jgraph_4(A,B) != k1_rlvect_1(k15_euclid(2),k19_euclid(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A))))),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A))),k12_euclid(B)) ) & ~ ( ~ ( r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k17_euclid(B),k5_numbers) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k17_euclid(B),k5_numbers) ) & k6_jgraph_4(A,B) != B ) ) ) ) )).
fof(d6_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k6_jgraph_6(A,B,C) = a_3_1_jgraph_6(A,B,C) ) ) ) )).
fof(d6_jordan,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) => ( A = k8_jordan <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) => k3_funct_2(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers,A,B) = k18_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)) ) ) ) )).
fof(d6_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ( r6_jordan20(A,B,C,D,E) <=> ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & k17_euclid(D) = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & r1_jordan5c(A,B,C,D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan5c(A,B,C,G,F) & r1_jordan5c(A,B,C,D,G) ) => k17_euclid(G) = E ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( r1_jordan5c(A,B,C,F,G) => ( G = F | ( ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) & r1_jordan5c(A,B,C,H,G) & r1_jordan5c(A,B,C,F,H) & ~ r1_xxreal_0(k17_euclid(H),E) ) & ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) & r1_jordan5c(A,B,C,H,G) & r1_jordan5c(A,B,C,F,H) & ~ r1_xxreal_0(E,k17_euclid(H)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_jordan3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r3_jordan3(A,B,C,D) <=> ( r2_jordan3(A,B,C,D) & C != D ) ) ) ) ) ) )).
fof(d6_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k6_jordan5d(A) <=> ( r2_hidden(k4_tarski(B,1),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,1) = k24_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d6_jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => k6_jordan6(A) = a_1_2_jordan6(A) ) )).
fof(d6_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => ! [C] : ( v1_xreal_0(C) => ( C = k4_jordan_a(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) & D = a_2_0_jordan_a(A,B) & C = k1_xxreal_2(D) ) ) ) ) ) )).
fof(d6_kolmog01,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( m1_kolmog01(D,A,B,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => k4_kolmog01(A,B,C,D,E) = k9_prob_1(B,k3_kolmog01(A,E,B,C,k2_kolmog01(A,B,C,D,E))) ) ) ) ) )).
fof(d6_kurato_1,axiom,( k6_kurato_1 = k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k1_seq_4(1),k2_borsuk_5(2,4)),k2_rcomp_1(4,5)),k2_rcomp_1(5,k1_xxreal_0)) )).
fof(d6_lang1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lang1(A) ) => k3_lang1(A) = a_1_2_lang1(A) ) )).
fof(d6_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( D = k7_laplace(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(B),D,E,F) = k6_laplace(E,F,A,B,C) ) ) ) ) ) ) ) ) )).
fof(d6_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => k1_lattad_1(A) = a_1_0_lattad_1(A) ) )).
fof(d6_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k8_lattice3(A,B) = B ) ) )).
fof(d6_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,A,B) => ( r4_lattice4(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k7_lattices(A,D)) = k7_lattices(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) )).
fof(d6_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v2_lattice5(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => k3_lattice5(A,B,C,D,D) = k3_yellow_0(B) ) ) ) ) ) )).
fof(d6_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_lattice6(A,B) = k16_lattice3(A,a_2_2_lattice6(A,B)) ) ) )).
fof(d6_lattice7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => k3_lattice7(A) = a_1_0_lattice7(A) ) )).
fof(d6_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k9_xtuple_0(D)) => k4_lattice8(A,B,C,D,E) = k1_funct_1(D,E) ) ) ) ) ) ) )).
fof(d6_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => k4_latticea(A) = k2_relset_1(k9_setfam_1(k1_latticea(A)),k3_latticea(A)) ) )).
fof(d6_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ( v6_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,C) = k2_lattices(A,C,B) ) ) ) ) )).
fof(d6_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v2_lexbfs(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(A,B) = k1_funct_1(A,C) => k1_funct_1(A,k1_nat_1(B,1)) = k1_funct_1(A,k1_nat_1(C,1)) ) ) ) ) ) )).
fof(d6_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k6_lfuzzy_0(A,B) = B ) ) )).
fof(d6_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r6_limfunc2(A,B) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,D) & ~ r1_xxreal_0(D,B) & r2_hidden(D,k1_relset_1(k1_numbers,A)) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(C) & k1_seq_2(C) = B & r1_tarski(k2_relset_1(k1_numbers,C),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) => v2_limfunc1(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)) ) ) ) ) ) ) )).
fof(d6_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_lopban_1(u1_struct_0(A),B)))) => ( C = k7_lopban_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_lopban_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(d6_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k7_lopban_2(A) = g6_algstr_0(k10_lopban_1(A,A),k5_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),k5_lopban_2(A),k6_lopban_2(A),k7_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A))) ) )).
fof(d6_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k3_lopban_3(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k6_algstr_0(A,k1_normsp_0(A,B,E),C) ) ) ) ) ) ) )).
fof(d6_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_lopban_2(B) & l1_lopban_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( E = k5_lopban_4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,A) => k8_nat_1(u1_struct_0(B),E,F) = k6_algstr_0(B,k1_rlvect_1(B,k6_lopban_3(B,C,F),k8_nat_1(k1_numbers,k2_lopban_4(A),F)),k6_lopban_3(B,D,k7_nat_d(A,F))) ) & ( ~ r1_xxreal_0(F,A) => k8_nat_1(u1_struct_0(B),E,F) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(d6_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k8_lopclset(A) <=> ( k9_xtuple_0(B) = u1_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(B,C) = a_2_0_lopclset(A,C) ) ) ) ) ) )).
fof(d6_lpspacc1,axiom,( ! [A] : k10_lpspacc1(A) = k8_funcop_1(k2_numbers,A,k5_complex1) )).
fof(d6_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k6_lpspace1(A) = k8_funcop_1(k4_ordinal1,A,1) ) )).
fof(d6_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v2_xxreal_0(E) & v1_xreal_0(E) ) => k5_lpspace2(A,B,C,D,E) = a_5_0_lpspace2(A,B,C,D,E) ) ) ) ) ) )).
fof(d6_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => k6_ltlaxio1(A) = k1_ltlaxio1(k5_ltlaxio1(k1_ltlaxio1(A),k4_hilbert1(k3_ltlaxio1,k1_ltlaxio1(A)))) ) )).
fof(d6_ltlaxio3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_hilbert1,k9_setfam_1(k1_hilbert1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k9_setfam_1(k1_hilbert1)))) ) => ( A = k6_ltlaxio3 <=> ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k2_hilbert1) = k6_domain_1(k1_hilbert1,k2_hilbert1) & k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k1_hilbert2(D)) = k6_domain_1(k1_hilbert1,k1_hilbert2(D)) & k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k3_hilbert1(B,C)) = k4_subset_1(k1_hilbert1,k4_subset_1(k1_hilbert1,k6_domain_1(k1_hilbert1,k3_hilbert1(B,C)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,B)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,C)) & k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,k4_hilbert1(B,C)) = k4_subset_1(k1_hilbert1,k4_subset_1(k1_hilbert1,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_ltlaxio2(B,C)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,B)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),A,C)) ) ) ) ) ) ) )).
fof(d6_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => k5_ltlaxio4(A) = a_1_2_ltlaxio4(A) ) )).
fof(d6_mathmorp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => k6_mathmorp(A,B,C) = a_3_2_mathmorp(A,B,C) ) ) ) )).
fof(d6_matrix10,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( r2_matrix10(A,B) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(A)) => r1_xxreal_0(k3_matrix_0(k1_numbers,A,C,D),k3_matrix_0(k1_numbers,B,C,D)) ) ) ) ) ) ) )).
fof(d6_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( ( r2_tarski(E,k2_finseq_1(k1_matrix_0(D))) & r2_tarski(F,k2_finseq_1(k1_matrix_0(D))) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(B,k5_numbers) | ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(C),A,B) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(C))) ) => ( H = k6_matrix12(A,B,C,D,E,F,G) <=> ( k3_finseq_1(H) = k3_finseq_1(D) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(I,k4_finseq_1(D)) & r2_tarski(J,k2_finseq_1(k1_matrix_0(D))) ) => ( ( J = E => k3_matrix_0(u1_struct_0(C),H,I,J) = k1_algstr_0(C,k8_group_1(C,G,k3_matrix_0(u1_struct_0(C),D,I,F)),k3_matrix_0(u1_struct_0(C),D,I,E)) ) & ( J != E => k3_matrix_0(u1_struct_0(C),H,I,J) = k3_matrix_0(u1_struct_0(C),D,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,C) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => k11_matrix13(A,B,C,D) = D ) ) ) ) )).
fof(d6_matrix16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v4_matrix16(B,A) <=> ? [C] : ( v1_matrix_0(C) & v2_matrix_0(C,A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(C,k3_finseq_2(A)) & r2_matrix16(A,C,B) ) ) ) ) )).
fof(d6_matrix17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v5_matrix17(B,A) <=> ? [C] : ( v1_matrix_0(C) & v2_matrix_0(C,A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(C,k3_finseq_2(A)) & r1_matrix17(A,C,B) ) ) ) ) )).
fof(d6_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( C = k4_matrix_0(A,B) <=> ( k3_finseq_1(C) = k1_matrix_0(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) <=> r2_hidden(k4_tarski(E,D),k2_matrix_0(B)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(E,D),k2_matrix_0(B)) => k3_matrix_0(A,C,D,E) = k3_matrix_0(A,B,E,D) ) ) ) ) ) ) ) ) )).
fof(d6_matrix_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ( v1_matrix_1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) => ( k3_matrix_0(u1_struct_0(A),B,C,D) = k4_struct_0(A) | C = D ) ) ) ) ) ) ) )).
fof(d6_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => k6_matrix_5(A,B) = k2_matrix_5(k4_matrix_3(k1_complfld,k1_matrix_5(A),k1_matrix_5(B))) ) ) )).
fof(d6_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r2_matrix_8(A,B,C,D) <=> ? [E] : ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) & v1_matrix_6(E,A,B) & C = k4_matrix_3(B,k4_matrix_3(B,k4_matrix_0(u1_struct_0(B),E),D),E) ) ) ) ) ) ) )).
fof(d6_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ! [C] : ( m2_finseq_1(C,k2_numbers) => ( C = k6_matrixc1(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) => k9_matrix_5(C,D) = k17_rvsum_1(k5_matrixc1(k7_matrix_0(k2_numbers,A,D),B)) ) ) ) ) ) ) ) )).
fof(d6_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) => ( v2_matrixj1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ~ ( v1_matrix_0(k1_funct_1(B,C)) & v2_matrix_0(k1_funct_1(B,C),A,D,D) & m2_finseq_1(k1_funct_1(B,C),k3_finseq_2(A)) ) ) ) ) ) ) ) )).
fof(d6_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k6_matrixr1(A,B) = k2_matrixr1(k4_matrix_3(k2_vectsp_1,k1_matrixr1(A),k1_matrixr1(B))) ) ) )).
fof(d6_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrixr2(B,A) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( C = k7_matrixr2(A,B) <=> ( k1_matrixr2(A,C,B) = k4_matrixr2(A) & k1_matrixr2(A,B,C) = k4_matrixr2(A) ) ) ) ) ) ) )).
fof(d6_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( C = k6_matrlin(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(C)) => k7_partfun1(u1_struct_0(A),C,D) = k4_rlvect_1(A,k9_pre_poly(u1_struct_0(A),k4_ordinal1,k3_finseq_2(u1_struct_0(A)),B,D)) ) ) ) ) ) ) ) )).
fof(d6_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v3_matroid0(A) <=> v5_finset_1(k1_matroid0(A)) ) ) )).
fof(d6_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v2_matrprob(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(B,C),k2_matrix_0(A)) => r1_xxreal_0(k5_numbers,k3_matrix_0(k1_numbers,A,B,C)) ) ) ) ) ) )).
fof(d6_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v13_vectsp_1(B,k15_euclid(A),k15_euclid(A)) & v1_topreal9(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( C = k3_matrtop3(A,B) <=> r2_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),B,k3_matrtop1(A,A,C)) ) ) ) ) )).
fof(d6_mcart_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) => ! [E] : ( m1_subset_1(E,B) => ( E = k2_mcart_1(A,B,C,D) <=> ! [F] : ! [G] : ! [H] : ( D = k3_xtuple_0(F,G,H) => E = G ) ) ) ) ) ) ) )).
fof(d6_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v4_measure1(C,A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & v1_prob_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => k17_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)) = k12_supinf_2(C,k5_setfam_1(A,k4_measure1(A,B,D))) ) ) ) ) )).
fof(d6_measure5,axiom,( ! [A] : ( v2_membered(A) => ( ( A != k1_xboole_0 => k2_measure5(A) = k4_supinf_2(k8_supinf_2(A),k7_supinf_2(A)) ) & ( A = k1_xboole_0 => k2_measure5(A) = k1_supinf_2 ) ) ) )).
fof(d6_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_measure7(B,A) => k6_measure7(A,B) = k17_supinf_2(k3_measure7(A,B)) ) ) )).
fof(d6_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v2_measure1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [E] : ( m4_measure8(E,A,B,C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( F = k4_measure8(A,B,C,D,E) <=> ! [G] : ( v7_ordinal1(G) => k8_nat_1(k6_numbers,F,G) = k17_supinf_2(k2_measure8(A,B,D,k3_measure8(A,B,C,E,G))) ) ) ) ) ) ) ) )).
fof(d6_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k9_member_1(A,B) = a_2_1_member_1(A,B) ) ) )).
fof(d6_membered,axiom,( ! [A] : ( v6_membered(A) <=> ! [B] : ( r2_hidden(B,A) => v7_ordinal1(B) ) ) )).
fof(d6_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_memstr_0(B,A) ) => ( v3_memstr_0(B,A) <=> k4_memstr_0(A,B,k4_struct_0(B)) = k4_ordinal1 ) ) ) )).
fof(d6_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k6_mesfun7c(A,B) = k5_mesfunc8(A,k1_mesfun7c(A,B)) ) ) )).
fof(d6_mesfunc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( D = k6_mesfunc1(A,B,C) <=> ( k9_xtuple_0(D) = k9_xtuple_0(B) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k9_xtuple_0(D)) => k12_supinf_2(D,E) = k4_xxreal_3(C,k12_supinf_2(B,E)) ) ) ) ) ) ) ) ) )).
fof(d6_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( C = k4_mesfunc8(A,B) <=> ! [D] : ( v7_ordinal1(D) => ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,D)) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,D))) => k12_supinf_2(k4_mesfunc5(A,k6_numbers,C,D),E) = k8_nat_1(k6_numbers,k4_rinfsup2(k3_mesfunc5(A,B,E)),D) ) ) ) ) ) ) ) ) )).
fof(d6_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( F = k5_mesfunc9(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,B) => k3_funct_2(B,C,F,G) = k2_binop_1(A,B,C,D,E,G) ) ) ) ) ) ) ) ) )).
fof(d6_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( v6_metric_1(A) <=> v2_metric_1(u1_metric_1(A),u1_struct_0(A)) ) ) )).
fof(d6_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k2_metric_2(A)) => ! [C] : ( m1_subset_1(C,k2_metric_2(A)) => k3_metric_2(A,B,C) = a_3_0_metric_2(A,B,C) ) ) ) )).
fof(d6_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k2_metric_6(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k3_metric_1(A,k8_nat_1(u1_struct_0(A),B,E),C) ) ) ) ) ) ) )).
fof(d6_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => k4_midsp_1(A,B) = a_2_0_midsp_1(A,B) ) ) )).
fof(d6_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_midsp_2(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k3_midsp_2(A,B) <=> k1_midsp_2(A,C) = B ) ) ) ) )).
fof(d6_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_midsp_1(C) & l1_midsp_3(C,k1_nat_1(A,2)) ) => ( r3_midsp_3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m2_finseq_2(G,u1_struct_0(C),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(C))) => ( k1_funct_1(G,B) = E => k4_midsp_3(A,C,D,k6_midsp_3(A,C,G,B,k3_midsp_1(C,E,F))) = k3_midsp_1(C,k4_midsp_3(A,C,D,G),k4_midsp_3(A,C,D,k6_midsp_3(A,C,G,B,F))) ) ) ) ) ) ) ) ) ) )).
fof(d6_mmlquer2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( C = k4_mmlquer2(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k4_card_1(k1_mmlquery(A,B,D)) ) ) ) ) ) )).
fof(d6_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => k6_mmlquery(A,B,C,D) = a_4_1_mmlquery(A,B,C,D) ) ) ) )).
fof(d6_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_mod_4(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_algstr_0(A,D,E)) = k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) ) )).
fof(d6_modcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( C = k2_modcat_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( r2_tarski(E,a_2_1_modcat_1(A,B)) & r1_modcat_1(E,D,B) ) ) ) ) ) )).
fof(d6_modelc_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k6_modelc_1(A) = k12_finseq_1(k4_ordinal1,k1_nat_1(5,A)) ) )).
fof(d6_modelc_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => k6_modelc_2(A) = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,3),A) ) )).
fof(d6_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => ! [C] : ( l1_modelc_3(C,A) => ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r1_modelc_3(A,B,C,D) <=> ( r2_tarski(D,u2_modelc_3(A,B)) & ( C = k5_modelc_3(A,B,D) | ( ~ ( ~ v5_modelc_2(D) & ~ v7_modelc_2(D) & ~ v8_modelc_2(D) ) & C = k6_modelc_3(A,B,D) ) ) ) ) ) ) ) ) )).
fof(d6_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) ) => ( B = k5_moebius1(A) <=> ( k13_pre_poly(B) = k22_pre_poly(k8_newton,k12_nat_3(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k22_pre_poly(k8_newton,k12_nat_3(A))) => k1_funct_1(B,C) = C ) ) ) ) ) ) )).
fof(d6_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => k6_moebius2(A) = k9_funct_2(k9_subset_1(k4_ordinal1,k2_finseq_1(A),k8_newton),2) ) )).
fof(d6_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v6_monoid_0(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( k4_binop_1(A,B,C,D) = k4_binop_1(A,B,C,E) => D = E ) ) ) ) ) ) ) )).
fof(d6_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v22_algstr_0(B) & m3_monoid_0(B,k13_monoid_1(A)) ) => ( B = k17_monoid_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k13_monoid_1(A))) => ( r2_tarski(C,u1_struct_0(B)) <=> v1_finset_1(k8_relat_1(C,k6_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers)))) ) ) ) ) )).
fof(d6_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v2_msafree(B,A) <=> ? [C] : ( m1_msafree(C,A,B) & v1_msafree(C,A,B) ) ) ) ) )).
fof(d6_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v2_msafree2(A) <=> ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ( B = A => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ( k2_msualg_1(B,C) = k2_msualg_1(B,D) => C = D ) ) ) ) ) ) ) )).
fof(d6_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l3_msualg_1(C,A) => ( v5_msafree4(C,A,B) <=> m3_pboole(u3_msualg_1(A,C),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) ) ) ) ) )).
fof(d6_msalimit,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_msalimit(C,A,B) => ! [D] : ( m2_msalimit(D,A,B,C) => ! [E] : ( ( v3_msualg_1(E,B) & m1_msualg_2(E,B,k14_pralg_2(u1_struct_0(A),B,C)) ) => ( E = k3_msalimit(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,k1_funct_1(k10_pralg_2(u1_struct_0(A),B,C),F)) => ( r2_tarski(G,k1_funct_1(u3_msualg_1(B,E),F)) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r1_orders_2(A,I,H) => k1_funct_1(k1_msualg_3(u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,H)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,I)),k1_msalimit(A,B,C,D,H,I),F),k1_funct_1(G,H)) = k1_funct_1(G,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( m2_msaterm(C,A,B) <=> r2_tarski(k1_funct_1(C,k1_xboole_0),k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))) ) ) ) ) )).
fof(d6_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) => ( v5_mssubfam(C,A,B) <=> r1_pboole(A,B,C) ) ) ) )).
fof(d6_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( l3_msualg_1(C,A) => k5_msualg_1(A,B,C) = k1_funct_1(u4_msualg_1(A,C),B) ) ) ) )).
fof(d6_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( v3_msualg_2(C,A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => r1_msualg_2(A,B,D,C) ) ) ) ) ) )).
fof(d6_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,D,B)) => ! [G] : ( m1_subset_1(G,k3_msualg_1(A,D,C)) => ( G = k5_msualg_3(A,B,C,D,E,F) <=> ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k9_xtuple_0(F)) => k1_funct_1(G,H) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),E,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,D),H)),k1_funct_1(F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) ) => ( D = k4_msualg_4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = k8_eqrel_1(k1_funct_1(u3_msualg_1(A,B),E),k2_msualg_4(A,B,C,E)) ) ) ) ) ) ) )).
fof(d6_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v3_lattices(C) & m2_nat_lat(C,k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( C = k6_msualg_5(A,B) <=> ! [D] : ( r2_tarski(D,u1_struct_0(C)) <=> ( v2_msualg_4(D,A,B) & v3_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) ) ) ) )).
fof(d6_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D)))) ) => ( m2_msualg_6(E,A,B,C,D) <=> ? [F] : ( m1_rewrite1(F,k3_msualg_6(A)) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & v1_funcop_1(G) & E = k3_funct_7(k1_funct_1(u3_msualg_1(A,B),C),G) & k3_finseq_1(F) = k1_nat_1(k3_finseq_1(G),1) & C = k1_funct_1(F,1) & D = k1_funct_1(F,k3_finseq_1(F)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_tarski(H,k4_finseq_1(G)) & I = k1_funct_1(G,H) & J = k1_funct_1(F,H) & K = k1_funct_1(F,k1_nat_1(H,1)) ) => r1_msualg_6(A,J,K,B,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k4_mycielsk(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ( r2_orders_2(A,D,B) | r2_orders_2(A,B,D) ) ) ) ) ) ) ) )).
fof(d6_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( v6_nagata_1(B,A) <=> ( v3_nagata_1(B,A) & v1_tops_2(k2_nagata_1(A,B),A) & v1_cantor_1(k2_nagata_1(A,B),A) & m1_subset_1(k2_nagata_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(d6_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k9_nat_3(A,B,C) <=> ( k13_pre_poly(D) = k13_pre_poly(B) & ! [E] : k1_funct_1(D,E) = k1_newton(k1_funct_1(B,E),C) ) ) ) ) ) )).
fof(d6_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ( A = k6_nat_lat <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,A) <=> ~ r1_xxreal_0(B,k5_numbers) ) ) ) ) )).
fof(d6_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( ( r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) ) => ! [F] : ( m1_nattra_1(F,A,B,C,D) => ! [G] : ( m1_nattra_1(G,A,B,D,E) => ! [H] : ( m1_nattra_1(H,A,B,C,E) => ( H = k3_nattra_1(A,B,C,D,E,F,G) <=> ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k2_nattra_1(A,B,C,E,H,I) = k5_cat_1(B,k8_cat_1(A,B,C,I),k8_cat_1(A,B,D,I),k8_cat_1(A,B,E,I),k2_nattra_1(A,B,C,D,F,I),k2_nattra_1(A,B,D,E,G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_ncfcont1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),E),k1_relset_1(u1_struct_0(A),C)) & v9_clvect_1(E,A) & k7_clvect_1(A,E) = D ) => ( v3_normsp_1(k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),B) & k7_partfun1(u1_struct_0(B),C,D) = k5_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C)) ) ) ) ) ) ) ) ) ) )).
fof(d6_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) ) => ( r6_ncfcont2(A,B,C) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),C)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(F,A) & r2_tarski(G,A) & ~ r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,F,G))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,C,F),k7_partfun1(k2_numbers,C,G)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ndiff_1(A,B,C,D) <=> ? [E] : ( m1_nfcont_1(E,A,D) & r1_tarski(E,k1_relset_1(u1_struct_0(A),C)) & ? [F] : ( m1_subset_1(F,u1_struct_0(k16_lopban_1(A,B))) & ? [G] : ( v1_funct_1(G) & v2_ndiff_1(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,E) => k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,H),k7_partfun1(u1_struct_0(B),C,D)) = k3_rlvect_1(B,k17_lopban_1(A,B,F,k5_algstr_0(A,H,D)),k7_partfun1(u1_struct_0(B),G,k5_algstr_0(A,H,D))) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( r2_ndiff_3(A,B,C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( D = k2_ndiff_3(A,B,C) <=> ( k1_relset_1(k1_numbers,D) = C & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(D,E) = k1_ndiff_3(A,B,E) ) ) ) ) ) ) ) ) )).
fof(d6_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) => ( r3_ndiff_4(A,B,C) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & B = D & C = E & r1_pdiff_7(A,D,E) ) ) ) ) ) ) )).
fof(d6_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_prvect_2(A))) => ( r1_ndiff_5(A,B,C,D,E) <=> r1_ndiff_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B,k1_partfun1(u1_struct_0(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A)))),u1_struct_0(k14_prvect_2(A)),u1_struct_0(k14_prvect_2(A)),u1_struct_0(B),k4_ndiff_5(A,k10_subset_1(C,k4_finseq_1(A)),E),D),k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A)))),k3_ndiff_5(A,k10_subset_1(C,k4_finseq_1(A))),E)) ) ) ) ) ) )).
fof(d6_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v7_ordinal1(E) => k6_ndiff_6(A,B,C,D,E) = k1_funct_1(k5_ndiff_6(A,B,C,D),E) ) ) ) ) ) )).
fof(d6_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => k7_ndiff_7(A,B,C,D,E) = k3_ndiff_1(A,C,k1_partfun1(u1_struct_0(A),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C),k1_ndiff_7(A,B,D),E),k5_ndiff_7(A,B,D)) ) ) ) ) ) )).
fof(d6_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ( B = k1_necklace(A) <=> ( u1_struct_0(B) = A & u1_orders_2(B) = a_1_0_necklace(A) ) ) ) ) )).
fof(d6_net_1,axiom,( ! [A] : ( l1_petri(A) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ! [C] : ( C = k3_net_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k2_net_1(A)) & r2_hidden(k4_tarski(D,B),k1_net_1(A)) ) ) ) ) ) )).
fof(d6_newton,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ( A = k8_newton <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,A) <=> v1_int_2(B) ) ) ) ) )).
fof(d6_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_nfcont_1(A,B,C) <=> ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),D),k1_relset_1(u1_struct_0(A),B)) & v3_normsp_1(D,A) & k5_normsp_1(A,D) = C ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,u1_struct_0(A),D,B)) & k7_partfun1(k1_numbers,B,C) = k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,u1_struct_0(A),D,B)) ) ) ) ) ) ) ) ) )).
fof(d6_normform,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) => ( B = k5_normform(A) <=> ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => k4_binop_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),B,C,D) = k1_normform(k5_finsub_1(A),k5_finsub_1(A),C,D) ) ) ) ) )).
fof(d6_normsp_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_normsp_0(A) ) => ( v4_normsp_0(A) <=> k2_normsp_0(A,k4_struct_0(A)) = k5_numbers ) ) )).
fof(d6_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_normsp_1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,F),C))) ) ) ) ) ) ) ) ) )).
fof(d6_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k5_normsp_3(A,B,C) = k1_rlvect_3(A,k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),k4_struct_0(B)))) ) ) ) )).
fof(d6_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v2_numpoly1(B,A) => k3_numpoly1(A,B) = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,A),16),B),k1_pepin(k6_xcmplx_0(A,4)))),A),4),k6_xcmplx_0(k3_xcmplx_0(2,A),4)) ) ) )).
fof(d6_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v4_o_ring_1(C,A) & B = k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)) ) ) ) ) )).
fof(d6_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k8_openlatt(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k9_xtuple_0(B) = u1_struct_0(A) & k1_funct_1(B,C) = a_2_0_openlatt(A,C) ) ) ) ) ) )).
fof(d6_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,A,B,C) => k7_oppcat_1(A,B,C,D) = D ) ) ) ) ) )).
fof(d6_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k5_ordeq_01(A,B) = g1_normsp_1(k1_ordeq_01(A,B),k7_rsspace(k5_rsspace4(A,B),k1_ordeq_01(A,B)),k5_rsspace(k5_rsspace4(A,B),k1_ordeq_01(A,B)),k6_rsspace(k5_rsspace4(A,B),k1_ordeq_01(A,B)),k3_ordeq_01(A,B)) ) ) )).
fof(d6_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_orders_1(A) <=> ( v1_relat_2(A) & v8_relat_2(A) & v4_relat_2(A) & v6_relat_2(A) ) ) ) )).
fof(d6_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_orders_2(A,B,C) <=> ( r1_orders_2(A,B,C) & B != C ) ) ) ) ) )).
fof(d6_orders_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( C = k1_orders_3(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & D = E & r2_tarski(E,k1_funct_2(u1_struct_0(A),u1_struct_0(B))) & v5_orders_3(E,A,B) ) ) ) ) ) )).
fof(d6_ordinal1,axiom,( ! [A] : ( v4_ordinal1(A) <=> A = k3_tarski(A) ) )).
fof(d6_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => k5_ordinal2(A) = k2_ordinal2(k10_xtuple_0(A)) ) )).
fof(d6_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( B != k1_xboole_0 => ( C = k6_ordinal3(A,B) <=> ? [D] : ( v3_ordinal1(D) & A = k10_ordinal2(k11_ordinal2(C,B),D) & r2_tarski(D,B) ) ) ) & ( B = k1_xboole_0 => ( C = k6_ordinal3(A,B) <=> C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d6_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v3_ordinal1(B) & v4_ordinal5(B) ) => ( B = k2_ordinal5(A) <=> ( r2_tarski(A,B) & ! [C] : ( ( v3_ordinal1(C) & v4_ordinal5(C) ) => ( r2_tarski(A,C) => r1_ordinal1(B,C) ) ) ) ) ) ) )).
fof(d6_ordinal6,axiom,( ! [A] : k2_ordinal6(A) = k3_wellord1(k1_wellord2(k1_ordinal6(A)),k1_wellord2(k2_ordinal1(A))) )).
fof(d6_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => k3_osafree(A,B,C) = k4_tarski(C,u1_struct_0(A)) ) ) ) )).
fof(d6_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m2_finseq_2(B,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r2_osalg_1(A,B,C) <=> ( k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( r2_tarski(D,k4_finseq_1(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( E = k1_funct_1(B,D) & F = k1_funct_1(C,D) ) => r3_orders_2(A,E,F) ) ) ) ) ) ) ) ) ) )).
fof(d6_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_osalg_4(A,B) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_osalg_4(A),B) ) ) )).
fof(d6_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_parsp_1(A,B,C,D,E) <=> r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E)),u1_parsp_1(A)) ) ) ) ) ) ) )).
fof(d6_partfun1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k7_partfun1(A,B,C) = k1_funct_1(B,C) ) ) )).
fof(d6_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( C = k4_partit1(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) & r2_tarski(F,B) & r2_hidden(D,F) & r2_hidden(E,F) ) ) ) ) ) ) )).
fof(d6_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k4_pboole(A,B,C) <=> ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k6_subset_1(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d6_pcomps_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( r1_pcomps_1(A,B) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ( k1_binop_1(B,C,D) = k5_numbers => C = D ) & ( C = D => k1_binop_1(B,C,D) = k5_numbers ) & k1_binop_1(B,C,D) = k1_binop_1(B,D,C) & r1_xxreal_0(k1_binop_1(B,C,E),k2_xcmplx_0(k1_binop_1(B,C,D),k1_binop_1(B,D,E))) ) ) ) ) ) ) )).
fof(d6_pcs_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( C = k4_pcs_0(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = u1_orders_2(k3_waybel_3(A,B,D)) ) ) ) ) ) )).
fof(d6_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A))))) ) => ( D = k7_pdiff_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(1))) => ? [F] : ( m1_subset_1(F,k1_numbers) & ? [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) & E = k12_finseq_1(k1_numbers,F) & G = C & k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),D,E) = k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,B,G),F) ) ) ) ) ) ) ) ) )).
fof(d6_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r1_pdiff_3(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k2_pdiff_3(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k10_finseq_1(D,E) & ? [F] : ( m1_rcomp_1(F,D) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(G,1) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B),I),k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B),D)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,D)),k1_funct_1(H,k6_xcmplx_0(I,D))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r6_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,E) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,k1_pdiff_3(2,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(2,3,A),B),I),k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(2,3,A),B),E)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,E)),k1_funct_1(H,k6_xcmplx_0(I,E))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r3_pdiff_7(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) & ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & D = E & C = F & r1_nfcont_1(k4_real_ns1(A),k4_real_ns1(B),F,E) ) ) ) ) ) ) ) )).
fof(d6_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r3_pdiff_9(A,B,C,D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( E = k3_pdiff_9(A,B,C,D) <=> ( k1_relset_1(k1_euclid(A),E) = B & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_tarski(F,B) => k7_partfun1(k1_numbers,E,F) = k10_pdiff_1(A,C,D,F) ) ) ) ) ) ) ) ) ) )).
fof(d6_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v5_pencil_1(A) <=> ! [B] : ( m1_subset_1(B,u1_pre_topc(A)) => r1_ordinal1(2,k1_card_1(B)) ) ) ) )).
fof(d6_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A,B,C)))) => ( E = k6_pencil_4(A,B,C,D) <=> ! [F] : ( r2_tarski(F,E) <=> ? [G] : ( m1_vectsp_4(G,A,B) & k1_vectsp_9(A,G) = D & F = k2_vectsp_9(A,G,C) ) ) ) ) ) ) ) ) )).
fof(d6_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) => k8_petri(A,B) = a_2_4_petri(A,B) ) ) )).
fof(d6_petri_df,axiom,( ! [A] : ( l1_petri(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_funct_2(C,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => k5_petri_df(A,B,C) = k1_wsierp_1(o_3_0_petri_df(A,B,C)) ) ) ) )).
fof(d6_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_polyalg1(B,A) & l1_polyalg1(B,A) ) => ( B = k3_polyalg1(A) <=> ? [C] : ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_polyalg1(A)))) & C = u1_struct_0(k13_polynom3(A)) & B = k2_polyalg1(A,k1_polyalg1(A),C) ) ) ) ) )).
fof(d6_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) = k5_numbers => ( E = k6_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & H = k1_polyeq_5(2,k6_xcmplx_0(k1_newton(F,2),G)) & E = k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k6_xcmplx_0(F,H))))),k7_xcmplx_0(D,4)) ) ) ) ) ) & ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) != k5_numbers => ( E = k6_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & ? [I] : ( v1_xcmplx_0(I) & ? [J] : ( v1_xcmplx_0(J) & ? [K] : ( v1_xcmplx_0(K) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)),64) & H = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & I = k1_polyeq_5(2,k2_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & J = k1_polyeq_5(2,k3_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & K = k4_xcmplx_0(k7_xcmplx_0(G,k3_xcmplx_0(I,J))) & E = k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(I),J),K),k7_xcmplx_0(D,4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m2_funct_2(C,k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(B,1)),k5_polyform(A,B)),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)),k9_funct_2(k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(B,1)),k5_polyform(A,B)),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)))) => ( C = k6_polyform(A,B) <=> ( ( ~ r1_xxreal_0(k5_numbers,B) => C = k1_xboole_0 ) & ( B = k5_numbers => r1_funct_2(k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(B,1)),k5_polyform(A,B)),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)),k2_zfmisc_1(k1_tarski(k1_xboole_0),k5_polyform(A,k5_numbers)),u1_struct_0(k2_bspace),C,k8_funcop_1(u1_struct_0(k2_bspace),k2_zfmisc_1(k1_tarski(k1_xboole_0),k5_polyform(A,k5_numbers)),k5_struct_0(k2_bspace))) ) & ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k4_polyform(A),B) & C != k1_funct_1(u2_polyform(A),B) ) & ( B = k4_polyform(A) => r1_funct_2(k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(B,1)),k5_polyform(A,B)),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)),k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(k4_polyform(A),1)),k1_tarski(A)),u1_struct_0(k2_bspace),C,k8_funcop_1(u1_struct_0(k2_bspace),k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(k4_polyform(A),1)),k1_tarski(A)),k5_struct_0(k2_bspace))) ) & ( ~ r1_xxreal_0(B,k4_polyform(A)) => C = k1_xboole_0 ) ) ) ) ) ) )).
fof(d6_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k5_polynom1(A,B,C,D) = k1_vfunct_1(k15_pre_poly(A),B,C,D) ) ) ) )).
fof(d6_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_normsp_1(A,B,C) = k1_normsp_1(A,B,k5_vfunct_1(k4_ordinal1,A,C)) ) ) ) )).
fof(d6_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k6_polynom5(A,B,C) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) & D = k4_rlvect_1(k13_polynom3(A),E) & k3_finseq_1(E) = k1_algseq_1(A,B) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k4_polynom5(A,k3_polynom5(A,C,k7_nat_d(F,1)),k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k7_nat_d(F,1))) ) ) ) ) ) ) ) ) )).
fof(d6_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k3_polynom7(A,B,C) = k4_polynom1(A,B,C,k2_polynom7(A,B,C)) ) ) )).
fof(d6_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_polynom8(A,B,C) <=> ( C != k5_numbers & k2_binom(A,B,C) = k5_struct_0(A) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(C,D) & k2_binom(A,B,D) = k5_struct_0(A) ) ) ) ) ) ) ) )).
fof(d6_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r4_polyred(A,B,C,D,E,F) <=> ? [G] : ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) & r3_polyred(A,B,C,D,E,F,G) ) ) ) ) ) ) ) ) )).
fof(d6_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => k4_poset_1(A,B) = a_2_0_poset_1(A,B) ) ) )).
fof(d6_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => k7_poset_2(A,B) = k6_poset_1(k4_poset_2(A),k4_poset_2(B)) ) ) )).
fof(d6_pralg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)))) ) => ( C = k6_pralg_1(A,B) <=> ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => k3_funct_2(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A),C,D) = k1_domain_1(B,A,k3_domain_1(A,B,D),k2_domain_1(A,B,D)) ) ) ) ) ) )).
fof(d6_pralg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => k6_pralg_2(A,B) = k3_tarski(k10_xtuple_0(u3_msualg_1(A,B))) ) ) )).
fof(d6_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( D = k12_pre_poly(A,B,C) <=> ! [E] : k1_funct_1(D,E) = k7_nat_d(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) )).
fof(d6_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v4_pre_topc(D,B) => v4_pre_topc(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),A) ) ) ) ) ) ) )).
fof(d6_prefer_1,axiom,( ! [A] : ( v3_card_1(A,2) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v3_prefer_1(D) & l3_prefer_1(D) ) => ( D = k4_prefer_1(A,B,C) <=> ( u1_struct_0(D) = A & u1_prefer_1(D) = k6_domain_1(k2_zfmisc_1(A,A),k1_domain_1(A,A,B,C)) & u1_pcs_0(D) = k7_domain_1(k2_zfmisc_1(A,A),k1_domain_1(A,A,B,B),k1_domain_1(A,A,C,C)) & u1_orders_2(D) = k1_xboole_0 ) ) ) ) ) ) )).
fof(d6_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v5_relat_1(B,k3_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k5_prepower(A,B) <=> ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k4_prepower(A,k1_funct_1(B,D)) ) ) ) ) ) )).
fof(d6_prgcor_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_numbers) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [D] : ( v1_int_1(D) => ( r4_prgcor_2(A,B,C,D) <=> ( k1_afinsq_1(C) = D & k1_afinsq_1(A) = D & k1_afinsq_1(B) = D & ? [E] : ( v1_int_1(E) & k1_funct_1(C,k5_numbers) = k1_funct_1(B,k5_numbers) & E = k1_funct_1(B,k5_numbers) & ( E != k5_numbers => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) => k1_funct_1(C,F) = k2_xcmplx_0(k1_funct_1(A,F),k1_funct_1(B,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_prob_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v4_prob_1(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r1_tarski(k10_xtuple_0(C),B) => r2_tarski(k3_prob_1(A,C),B) ) ) ) ) )).
fof(d6_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ( ~ r1_xxreal_0(k3_funct_2(B,k1_numbers,C,D),k5_numbers) => ! [E] : ( m2_prob_1(E,A,B) => ( E = k3_prob_2(A,B,C,D) <=> ! [F] : ( m1_prob_1(F,A,B) => k3_funct_2(B,k1_numbers,E,F) = k6_real_1(k3_funct_2(B,k1_numbers,C,k5_prob_1(A,B,F,D)),k3_funct_2(B,k1_numbers,C,D)) ) ) ) ) ) ) ) ) )).
fof(d6_prob_3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => ( ( B != k1_xboole_0 => k7_prob_3(A,B) = k3_subset_1(A,k5_prob_3(A,k6_prob_3(A,B))) ) & ( B = k1_xboole_0 => k7_prob_3(A,B) = k1_xboole_0 ) ) ) )).
fof(d6_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),k4_prob_4(A,B,C)) => k5_prob_4(A,B,C,D) = D ) ) ) ) )).
fof(d6_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ( r5_projpl_1(A,B,C,D,E) <=> ( ~ r4_projpl_1(A,B,C,D) & ~ r4_projpl_1(A,C,D,E) & ~ r4_projpl_1(A,D,E,B) & ~ r4_projpl_1(A,E,B,C) ) ) ) ) ) ) ) )).
fof(d6_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( m1_prvect_1(B,A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( m1_subset_1(C,k9_xtuple_0(A)) => ( v1_funct_1(k1_funct_1(B,C)) & v1_funct_2(k1_funct_1(B,C),k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)),k1_funct_1(A,C)) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)),k1_funct_1(A,C)))) ) ) ) ) ) ) )).
fof(d6_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers))) ) => ( C = k6_prvect_3(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(2)) & F = k10_finseq_1(k2_normsp_0(A,D),k2_normsp_0(B,E)) & k2_binop_1(u1_struct_0(A),u1_struct_0(B),k1_numbers,C,D,E) = k12_euclid(F) ) ) ) ) ) ) ) )).
fof(d6_pscomp_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k15_euclid(2)),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),k1_numbers))) ) => ( A = k5_pscomp_1 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,A,B) = k18_euclid(B) ) ) ) )).
fof(d6_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( D = k8_pua2mss1(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & D = k1_funct_1(E,C) & k1_funct_1(E,k5_numbers) = B & ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( G = k1_funct_1(E,F) => k1_funct_1(E,k1_nat_1(F,1)) = k7_pua2mss1(A,G) ) ) ) ) ) ) ) ) ) )).
fof(d6_pythtrip,axiom,( ! [A] : ( m1_pythtrip(A) => ( v2_pythtrip(A) <=> r2_tarski(k5_numbers,A) ) ) )).
fof(d6_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => k5_qc_lang1(A) = k2_zfmisc_1(k1_tarski(6),k4_ordinal1) ) )).
fof(d6_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => k6_qc_lang2(A,B,C,D) = k15_qc_lang1(A,B,k15_qc_lang1(A,C,D)) ) ) ) ) )).
fof(d6_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k6_qc_lang3(A,B) = k4_qc_lang3(A,k4_qc_lang1(A),B) ) ) )).
fof(d6_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_qc_lang4(C,A,B) => k4_qc_lang4(A,B,C) = k3_qc_lang4(A,B,C) ) ) ) )).
fof(d6_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(A)) ) => k4_qc_trans(A,B,C,D) = D ) ) ) ) )).
fof(d6_qmax_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_qmax_1(A,B) <=> ! [C] : ( m1_subset_1(C,A) => k1_funct_1(B,k1_funct_1(B,C)) = C ) ) ) )).
fof(d6_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) ) => ( v8_quantal1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : k6_algstr_0(A,k15_lattice3(A,C),B) = k15_lattice3(A,a_3_1_quantal1(A,B,C)) ) ) ) )).
fof(d6_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( C = k6_quaterni(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & A = k5_quaterni(D,E,F,G) & B = k5_quaterni(H,I,J,K) & C = k5_quaterni(k2_xcmplx_0(D,H),k2_xcmplx_0(E,I),k2_xcmplx_0(F,J),k2_xcmplx_0(G,K)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( D = k8_quofield(A,B,C) <=> ! [E] : ( m2_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ( r2_tarski(E,D) <=> ? [F] : ( m2_subset_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) & ? [G] : ( m2_subset_1(G,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) & r2_tarski(F,B) & r2_tarski(G,C) & k8_group_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E),k8_group_1(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),F),k3_domain_1(u1_struct_0(A),u1_struct_0(A),G))) = k8_group_1(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),E),k3_rlvect_1(A,k8_group_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),F),k3_domain_1(u1_struct_0(A),u1_struct_0(A),G)),k8_group_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),G),k3_domain_1(u1_struct_0(A),u1_struct_0(A),F)))) ) ) ) ) ) ) ) ) ) )).
fof(d6_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k4_numbers) ) => ( D = k7_radix_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k7_partfun1(k4_numbers,D,E) = k6_radix_1(E,B,A,C) ) ) ) ) ) ) ) )).
fof(d6_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(B)) ) => ( ( r2_tarski(A,k2_finseq_1(C)) => k8_radix_3(A,B,C,D) = k2_xcmplx_0(k6_radix_3(k4_radix_1(A,B,C,D),B),k5_radix_3(k4_radix_1(k7_nat_d(A,1),B,C,D),B)) ) & ( A = k2_xcmplx_0(C,1) => k8_radix_3(A,B,C,D) = k5_radix_3(k4_radix_1(k7_nat_d(A,1),B,C,D),B) ) & ~ ( ~ r2_tarski(A,k2_finseq_1(C)) & A != k2_xcmplx_0(C,1) & k8_radix_3(A,B,C,D) != k5_numbers ) ) ) ) ) ) )).
fof(d6_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(C)) ) => ( D = k6_radix_5(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k4_radix_1(E,C,A,D) = k5_radix_5(E,B,C) ) ) ) ) ) ) ) )).
fof(d6_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,2)) & m2_finseq_1(D,k3_radix_1(B)) ) => ( D = k6_radix_6(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k2_finseq_1(k2_xcmplx_0(A,2))) => k4_radix_1(E,B,k2_xcmplx_0(A,2),D) = k5_radix_6(E,A,B,C) ) ) ) ) ) ) ) )).
fof(d6_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,k6_numbers) & v10_valued_0(E) & v6_supinf_2(E) & v2_measure1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,D,k6_numbers) & v10_valued_0(G) & v6_supinf_2(G) & v2_measure1(G,B,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(D,k6_numbers))) ) => ( G = k1_random_3(A,B,C,D,E,F) <=> ! [H] : ( m2_subset_1(H,k1_zfmisc_1(B),D) => k12_supinf_2(G,H) = k12_supinf_2(E,k8_relset_1(A,B,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(d6_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [F] : ( m2_vectsp_6(F,A,C,k2_ranknull(B,C,E,D)) => ( v2_funct_1(k2_partfun1(u1_struct_0(B),u1_struct_0(C),E,D)) => k9_ranknull(A,B,C,D,E,F) = k1_funct_4(k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(A),E,F),k8_funcop_1(u1_struct_0(A),k4_ranknull(B,D),k4_struct_0(A))) ) ) ) ) ) ) ) )).
fof(d6_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_ratfunc1(A,B) = k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)) ) ) )).
fof(d6_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( m1_rcomp_1(B,A) <=> ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & B = k2_rcomp_1(k6_xcmplx_0(A,C),k2_xcmplx_0(A,C)) ) ) ) ) )).
fof(d6_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k6_real_3(A) <=> ( k8_nat_1(k1_numbers,B,k5_numbers) = 1 & k8_nat_1(k1_numbers,B,1) = k8_nat_1(k1_numbers,k4_real_3(A),1) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,k1_nat_1(C,2)) = k3_real_1(k4_real_1(k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(C,2)),k8_nat_1(k1_numbers,B,k1_nat_1(C,1))),k8_nat_1(k1_numbers,B,C)) ) ) ) ) ) )).
fof(d6_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k6_real_lat(A) = g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)) ) )).
fof(d6_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_bhsp_1(B) & l1_bhsp_1(B) ) => ( B = k7_real_ns1(A) <=> ( u1_struct_0(B) = k1_euclid(A) & k4_struct_0(B) = k5_euclid(A) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A),u1_algstr_0(B),k1_real_ns1(A)) & r1_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(k1_numbers,k1_euclid(A)),k1_euclid(A),u1_rlvect_1(B),k2_real_ns1(A)) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k1_numbers,k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers,u1_bhsp_1(B),k6_real_ns1(A)) ) ) ) ) )).
fof(d6_realset1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( m3_realset1(C,A,B) <=> ! [D] : ( r2_tarski(D,k2_zfmisc_1(k6_subset_1(A,k1_tarski(B)),k6_subset_1(A,k1_tarski(B)))) => r2_tarski(k1_funct_1(C,D),k6_subset_1(A,k1_tarski(B))) ) ) ) ) )).
fof(d6_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k8_struct_0(A),k8_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A),k8_struct_0(A)))) ) => ( B = k5_realset2(A) <=> ! [C] : ( m2_subset_1(C,u1_struct_0(A),k8_struct_0(A)) => k1_binop_1(k4_realset2(A),C,k3_funct_2(k8_struct_0(A),k8_struct_0(A),B,C)) = k5_struct_0(A) ) ) ) ) )).
fof(d6_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_rearran1(C) & v2_rearran1(C) & v3_rearran1(C,k1_zfmisc_1(B)) & m2_finseq_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k4_rearran1(A,B,C,D) = k14_rfunct_3(B,k16_rfunct_3(B,k15_rfunct_3(B,k2_rearran1(B,C)),k3_rfinseq(k20_rfunct_3(A,D,A)))) ) ) ) ) )).
fof(d6_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k1_relat_1(A) = k2_xboole_0(k9_xtuple_0(A),k10_xtuple_0(A)) ) )).
fof(d6_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r6_relat_2(A,B) <=> ! [C] : ! [D] : ~ ( r2_hidden(C,B) & r2_hidden(D,B) & C != D & ~ r2_hidden(k4_tarski(C,D),A) & ~ r2_hidden(k4_tarski(D,C),A) ) ) ) )).
fof(d6_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r4_rewrite1(A,B,C) <=> ( r3_rewrite1(A,C) & r1_rewrite1(A,B,C) ) ) ) )).
fof(d6_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ( C = k7_rewrite2(A,B) <=> ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ( r2_tarski(k1_domain_1(k8_afinsq_1(A),k8_afinsq_1(A),D,E),C) <=> r2_rewrite2(A,B,D,E) ) ) ) ) ) ) )).
fof(d6_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ! [D] : ! [E] : ! [F] : ! [G] : ( r3_rewrite3(A,B,C,D,E,F,G) <=> r1_rewrite1(k1_rewrite3(A,B,C),k4_tarski(D,E),k4_tarski(F,G)) ) ) ) ) )).
fof(d6_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( ( v7_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( B = k6_rfinseq2(A) <=> r2_classes1(A,B) ) ) ) )).
fof(d6_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( m2_finseq_1(C,k3_rfunct_3(A,k1_numbers)) => ( C = k15_rfunct_3(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k7_rfunct_1(k1_funct_1(B,D),A) ) ) ) ) ) ) ) )).
fof(d6_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r6_rfunct_4(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => r5_rfunct_4(k2_partfun1(k1_numbers,k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d6_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k5_rinfsup1(A) = k2_rinfsup1(k4_rinfsup1(A)) ) )).
fof(d6_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( B = k3_rinfsup2(A) <=> ! [C] : ( v7_ordinal1(C) => ? [D] : ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k6_numbers)) & D = a_2_0_rinfsup2(A,C) & k12_supinf_2(B,C) = k7_supinf_2(D) ) ) ) ) ) )).
fof(d6_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v36_algstr_0(C) & l6_algstr_0(C) ) => ( C = k2_ring_1(A,B) <=> ( u1_struct_0(C) = k8_eqrel_1(u1_struct_0(A),k1_ring_1(A,B)) & k5_struct_0(C) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k5_struct_0(A)) & k4_struct_0(C) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k4_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & D = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),F) & E = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),G) & k4_binop_1(u1_struct_0(C),u1_algstr_0(C),D,E) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k3_rlvect_1(A,F,G)) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & D = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),F) & E = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),G) & k4_binop_1(u1_struct_0(C),u2_algstr_0(C),D,E) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k6_algstr_0(A,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(d6_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v36_algstr_0(D) & l6_algstr_0(D) ) => ( D = k4_ring_2(A,B,C) <=> ( u1_struct_0(D) = k2_relset_1(u1_struct_0(B),C) & u1_algstr_0(D) = k1_realset1(u1_algstr_0(B),k2_relset_1(u1_struct_0(B),C)) & u2_algstr_0(D) = k1_realset1(u2_algstr_0(B),k2_relset_1(u1_struct_0(B),C)) & u3_struct_0(D) = k5_struct_0(B) & u2_struct_0(D) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(d6_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => k4_ringcat1(A) = g1_ringcat1(A,A,k3_struct_0(A)) ) )).
fof(d6_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_rlaffin1(A,B) = k1_setfam_1(a_2_0_rlaffin1(A,B)) ) ) )).
fof(d6_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( m2_rlsub_1(C,A,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k3_rlsub_1(A,D,B) ) ) ) ) ) )).
fof(d6_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ( r1_rlsub_2(A,C,D) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( E = k4_rlsub_2(A,B,C,D) <=> ( B = k3_rlvect_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E),k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) & r1_struct_0(C,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E)) & r1_struct_0(D,k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) ) ) ) ) ) ) ) ) )).
fof(d6_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_rltopsp1(B,A) <=> ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k9_complex1(C),1) => r1_tarski(k1_convex1(A,B,C),B) ) ) ) ) ) )).
fof(d6_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ( v6_rlvect_1(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_rlvect_1(A,D,k2_xcmplx_0(B,C)) = k1_algstr_0(A,k1_rlvect_1(A,D,B),k1_rlvect_1(A,D,C)) ) ) ) ) ) )).
fof(d6_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_rlvect_2(C,A) => ( m2_rlvect_2(C,A,B) <=> r1_tarski(k3_rlvect_2(A,C),B) ) ) ) ) )).
fof(d6_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( m2_rmod_2(D,A,B,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k3_rmod_2(A,B,E,C) ) ) ) ) ) ) )).
fof(d6_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)))) ) => ( C = k5_rmod_3(A,B) <=> ! [D] : ( m1_subset_1(D,k3_rmod_3(A,B)) => ! [E] : ( m1_subset_1(E,k3_rmod_3(A,B)) => ! [F] : ( m1_rmod_2(F,A,B) => ! [G] : ( m1_rmod_2(G,A,B) => ( ( D = F & E = G ) => k4_binop_1(k3_rmod_3(A,B),C,D,E) = k1_rmod_3(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d6_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( E = k4_rmod_4(A,B,C,D) <=> ( k3_finseq_1(E) = k3_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k9_xtuple_0(E)) => k1_funct_1(E,F) = k4_vectsp_2(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,k7_partfun1(u1_struct_0(B),C,F)),k7_partfun1(u1_struct_0(B),C,F)) ) ) ) ) ) ) ) ) ) )).
fof(d6_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ( v6_robbins1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))),k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),C))) = B ) ) ) ) )).
fof(d6_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_robbins1(A) ) => ( v8_robbins3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_robbins1(A,k3_robbins1(A,B)) = B ) ) ) )).
fof(d6_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_roughs_1(A,B) = k7_subset_1(u1_struct_0(A),k4_roughs_1(A,B),k3_roughs_1(A,B)) ) ) )).
fof(d6_rsspace,axiom,( k3_rsspace = k1_seq_1(k5_numbers) )).
fof(d6_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k5_rsspace4(A,B) = g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B))) ) ) )).
fof(d6_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => ( r1_rusub_2(A,C,D) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( E = k4_rusub_2(A,B,C,D) <=> ( B = k3_rlvect_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E),k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) & r1_struct_0(C,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E)) & r1_struct_0(D,k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) ) ) ) ) ) ) ) ) )).
fof(d6_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => k4_rusub_4(A,B) = u1_struct_0(B) ) ) )).
fof(d6_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => k5_rusub_5(A) = g1_pre_topc(u1_struct_0(A),k4_rusub_5(A)) ) )).
fof(d6_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k8_rvsum_1(A,B) = k3_funcop_1(k10_binop_2,A,B) ) ) )).
fof(d6_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k11_rvsum_2(A,B) = k3_funcop_1(k5_binop_2,A,B) ) ) )).
fof(d6_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( r1_rvsum_3(A,B) <=> ( k3_finseq_1(A) = k3_finseq_1(B) & k1_rvsum_3(A) = k1_rvsum_3(B) ) ) ) ) )).
fof(d6_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => k8_scm_comp(A,B) = k6_trees_4(k4_tarski(k5_numbers,3),A,B) ) ) )).
fof(d6_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(9)) & A = k3_xtuple_0(D,k9_finseq_1(B),k12_finseq_1(k2_scm_inst,C)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( B = k7_scm_inst(A) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & k12_finseq_1(k4_ordinal1,C) = k5_xtuple_0(A) & B = k7_partfun1(k4_ordinal1,k12_finseq_1(k4_ordinal1,C),1) ) ) ) ) ) )).
fof(d6_scmfsa6a,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => k5_scmfsa6a(A,B) = k2_scmfsa6a(k11_compos_1(k1_scmfsa_2,A),k11_compos_1(k1_scmfsa_2,B)) ) ) )).
fof(d6_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r5_scmfsa7b(A,B,C) <=> r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B)) ) ) ) ) )).
fof(d6_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( r4_scmfsa9a(A,B,C,D) => ( ( ~ r3_scmfsa9a(A,B,C,D) & ~ v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) | ! [E] : ( v7_ordinal1(E) => ( E = k2_scmfsa9a(A,B,C,D) <=> ? [F] : ( v7_ordinal1(F) & E = F & r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F),C),k5_numbers) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),G),C),k5_numbers) => r1_xxreal_0(F,G) ) ) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)) ) ) ) ) ) ) ) ) ) )).
fof(d6_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( v7_ordinal1(B) => k6_scmfsa_1(A,B) = k1_funct_4(A,k17_funcop_1(k4_ordinal1,B)) ) ) )).
fof(d6_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => k4_scmfsa_2(A) = k10_ami_3(A) ) )).
fof(d6_scmfsa_m,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_scmfsa_2)) ) => k9_scmfsa_m(A,B) = k4_scmfsa_2(k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(B),A))) ) ) )).
fof(d6_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k6_scmfsa_x(A,B) = k1_funct_7(k5_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(B),1),k11_scmfsa_2(k5_numbers)) ) ) )).
fof(d6_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => k5_scmpds_2(A,B) = k3_xtuple_0(2,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d6_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_scmpds_4(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( r1_tarski(k10_compos_1(k1_scmpds_2,A),D) => r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,C)),k2_afinsq_1(k10_compos_1(k1_scmpds_2,A))) ) ) ) ) ) ) )).
fof(d6_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k4_scmpds_6(A,B,C,D) = k1_scmpds_4(k1_scmpds_4(k2_scmpds_4(k9_scmpds_2(A,B,k1_nat_1(k4_card_1(C),2)),C),k1_scmpds_6(k1_nat_1(k4_card_1(D),1))),D) ) ) ) ) )).
fof(d6_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(E,k1_xboole_0,k11_finseq_1(B,C,D)) ) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k7_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,1) ) ) ) ) ) )).
fof(d6_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_scmring1(A,B,C,D) = k1_funct_4(B,k17_funcop_1(C,D)) ) ) ) ) )).
fof(d6_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => k6_scmring2(A,B,C) = k3_xtuple_0(4,k1_xboole_0,k10_finseq_1(B,C)) ) ) ) )).
fof(d6_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( m1_subset_1(D,k2_scm_inst) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(8)) & B = k3_xtuple_0(E,k12_finseq_1(k4_ordinal1,C),k12_finseq_1(k2_scm_inst,D)) ) ) ) => ! [C] : ( m1_subset_1(C,k2_scm_inst) => ( C = k6_scmringi(A,B) <=> ? [D] : ( m1_subset_1(D,k2_scm_inst) & k12_finseq_1(k2_scm_inst,D) = k2_xtuple_0(B) & C = k7_partfun1(k2_scm_inst,k12_finseq_1(k2_scm_inst,D),1) ) ) ) ) ) ) )).
fof(d6_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v5_finset_1(A) ) => k2_scmyciel(A) = k4_card_1(k3_tarski(A)) ) )).
fof(d6_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k2_semi_af1(A,B,C) <=> k1_semi_af1(A,B,D,C) = C ) ) ) ) ) )).
fof(d6_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),B))) ) ) ) ) ) ) ) )).
fof(d6_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => k7_seq_4(A,B) = k1_finseqop(k2_numbers,k2_numbers,k2_numbers,k3_binop_2,A,B) ) ) )).
fof(d6_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k7_seqfunc(A,B,C) = k6_seqfunc(A,B,k4_seqfunc(A,C)) ) ) ) )).
fof(d6_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v5_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,B)) ) ) ) )).
fof(d6_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k7_series_1(A,B,C) = k6_xcmplx_0(k6_series_1(A,B),k6_series_1(A,C)) ) ) ) )).
fof(d6_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ( C = k4_setfam_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ? [F] : ( r2_tarski(E,A) & r2_tarski(F,B) & D = k6_subset_1(E,F) ) ) ) )).
fof(d6_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k6_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k4_subset_1(A,C,k8_nat_1(k9_setfam_1(A),B,E)) ) ) ) ) ) )).
fof(d6_setwiseo,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_finsub_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(A)))) ) => ( B = k11_setwiseo(A) <=> ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_tarski(C) ) ) ) )).
fof(d6_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k6_sf_mastr(A) = k5_sf_mastr(k10_xtuple_0(A)) ) )).
fof(d6_sfmastr3,axiom,( ! [A] : ( m1_scmfsa_2(A) => k5_sfmastr3(A) = k3_scmfsa6a(k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(A,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),A),k2_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(A,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(A,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),A),k4_sfmastr3(A,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))))) ) )).
fof(d6_sgraph1,axiom,( ! [A] : ! [B] : ( r2_sgraph1(A,B) <=> ( r2_tarski(g1_sgraph1(k1_xboole_0,k1_subset_1(k2_sgraph1(k1_xboole_0))),B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_sgraph1(C))) => ! [E] : ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_sgraph1(k2_xboole_0(C,k1_tarski(E))))) ) => ( ( r2_tarski(g1_sgraph1(C,D),B) & r2_tarski(E,A) ) => ( r2_tarski(E,C) | r2_tarski(g1_sgraph1(k2_xboole_0(C,k1_tarski(E)),F),B) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_sgraph1(C))) => ! [E] : ! [F] : ~ ( r2_tarski(g1_sgraph1(C,D),B) & r2_tarski(E,C) & r2_tarski(F,C) & E != F & ~ r2_tarski(k2_tarski(E,F),D) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_sgraph1(C))) ) => ~ ( G = k2_xboole_0(D,k1_tarski(k2_tarski(E,F))) & r2_tarski(g1_sgraph1(C,G),B) ) ) ) ) ) ) ) )).
fof(d6_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_sheffer1(A,B,C) <=> ( k1_lattices(A,C,B) = k1_sheffer1(A) & k1_lattices(A,B,C) = k1_sheffer1(A) & k2_lattices(A,C,B) = k2_sheffer1(A) & k2_lattices(A,B,C) = k2_sheffer1(A) ) ) ) ) ) )).
fof(d6_simplex1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ( r1_tarski(k3_simplex1(B,C),k2_struct_0(C)) => k5_simplex1(A,B,C) = k12_simplex0(u1_struct_0(B),C,k2_rlaffin2(B),A) ) ) ) ) )).
fof(d6_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_simplex0(B,u1_struct_0(k15_euclid(A))) => k2_simplex2(A,B) = k1_simplex2(k14_euclid(A),B) ) ) )).
fof(d6_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( B = k5_sin_cos(A) <=> ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,A) => k8_nat_1(k2_numbers,B,C) = k7_xcmplx_0(k2_newton(A),k3_xcmplx_0(k2_newton(C),k2_newton(k7_nat_d(A,C)))) ) & ( ~ r1_xxreal_0(C,A) => k8_nat_1(k2_numbers,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d6_sin_cos2,axiom,( ! [A] : k6_sin_cos2(A) = k1_funct_1(k5_sin_cos2,A) )).
fof(d6_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => k6_sin_cos7(A) = k3_power(k4_power,k7_xcmplx_0(k2_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(A)))),A)) ) )).
fof(d6_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => k6_sincos10(A) = k1_funct_1(k2_sincos10,A) ) )).
fof(d6_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_stacks_1(A,B,C) = k2_binop_1(u1_struct_0(A),u4_struct_0(A),u4_struct_0(A),u2_stacks_1(A),C,B) ) ) ) )).
fof(d6_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => k4_struct_0(A) = u2_struct_0(A) ) )).
fof(d6_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ( v7_substut1(B,A) => k10_sublemma(A,B) = k31_substut1(A,B) ) ) ) )).
fof(d6_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_subset_1(B,A) <=> B != A ) ) )).
fof(d6_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k7_substut1(A,B,C,D) = k6_substut1(A,D,a_4_0_substut1(A,B,C,D)) ) ) ) ) )).
fof(d6_supinf_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_numbers)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v2_supinf_2(C,A,B) <=> ~ r1_xxreal_0(k11_supinf_2(k6_numbers,A,B,C),k2_supinf_1) ) ) ) )).
fof(d6_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k4_t_0topsp(A) = k12_borsuk_1(A,k2_t_0topsp(A)) ) )).
fof(d6_tarski,axiom,( ! [A] : ! [B] : ( r3_tarski(A,B) <=> ? [C] : ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ( r2_hidden(E,B) & r2_hidden(k4_tarski(D,E),C) ) ) & ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,A) & r2_hidden(k4_tarski(E,D),C) ) ) & ! [D] : ! [E] : ! [F] : ! [G] : ( ( r2_hidden(k4_tarski(D,E),C) & r2_hidden(k4_tarski(F,G),C) ) => ( D = F <=> E = G ) ) ) ) )).
fof(d6_taxonom1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_taxonom1(A,B,C,D) <=> r1_xxreal_0(k1_metric_1(A,C,D),B) ) ) ) ) ) )).
fof(d6_taxonom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v5_taxonom2(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) => ! [D] : ( m1_subset_1(D,A) => ~ ( ~ r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,E) & r2_tarski(E,B) & r1_xboole_0(C,E) ) ) ) ) ) ) ) ) )).
fof(d6_taylor_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( r1_taylor_1(A,B,C) <=> ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k6_xcmplx_0(B,1)) => r2_fdiff_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,C),D),C) ) ) ) ) ) ) )).
fof(d6_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ( v5_tbsp_1(A) <=> ? [B] : ( v1_xreal_0(B) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k1_metric_1(A,C,D),B) ) ) ) ) ) )).
fof(d6_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)))) ) => ( B = k6_tdlat_1(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k5_tdlat_1(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k5_tdlat_1(A)) => k4_binop_1(k5_tdlat_1(A),B,C,D) = k4_subset_1(u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(d6_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m2_subset_1(E,k14_pre_poly(A),k15_pre_poly(A)) => ( E = k3_termord(A,B,C,D) <=> ( ( k3_polynom1(k15_pre_poly(A),C,D) = k1_xboole_0 & r6_pboole(A,E,k16_pre_poly(A)) ) | ( r2_tarski(E,k3_polynom1(k15_pre_poly(A),C,D)) & ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ( r2_tarski(F,k3_polynom1(k15_pre_poly(A),C,D)) => r1_termord(A,B,F,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_tdlat_3(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v3_tops_1(B,A) ) ) ) )).
fof(d6_tex_4,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_tex_4(A,B) = a_2_3_tex_4(A,B) ) ) )).
fof(d6_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => k4_tmap_1(A,B) = k2_tmap_1(A,A,k3_struct_0(A),B) ) ) )).
fof(d6_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ( r1_borsuk_6(A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(A,B))))) ) => ( E = k6_topalg_1(A,B,C,D) <=> ! [F] : ( m1_borsuk_2(F,A,C,C) => k1_funct_1(E,k6_eqrel_1(k2_topalg_1(A,C),k2_topalg_1(A,C),k4_topalg_1(A,C),F)) = k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),k1_borsuk_2(A,B,C,B,k1_borsuk_2(A,B,C,C,D,F),k2_borsuk_2(A,B,C,D))) ) ) ) ) ) ) ) ) )).
fof(d6_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => ( v5_topalg_6(B,A) <=> v1_xxreal_2(k9_xtuple_0(B)) ) ) ) )).
fof(d6_topalg_7,axiom,( k10_topalg_7 = k1_realset1(k9_topalg_7,k5_toprealb(k1_rcomp_1(k5_numbers,1))) )).
fof(d6_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_topdim_1(B,A) => ! [C] : ( v1_int_1(C) => ( C = k3_topdim_1(A,B) <=> ( r1_tarski(B,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),k2_xcmplx_0(C,1))) & r1_xxreal_0(k4_xcmplx_0(1),C) & ! [D] : ( v1_int_1(D) => ( ( r1_xxreal_0(k4_xcmplx_0(1),D) & r1_tarski(B,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),k2_xcmplx_0(D,1))) ) => r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) )).
fof(d6_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k3_topgen_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & D = k2_topgen_1(A,E) & r2_tarski(E,B) ) ) ) ) ) ) ) )).
fof(d6_topgen_3,axiom,( ! [A] : ! [B] : ( ( v1_pre_topc(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( B = k5_topgen_3(A) <=> ( u1_struct_0(B) = A & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v4_pre_topc(C,B) <=> ( v1_finset_1(C) | C = A ) ) ) ) ) ) )).
fof(d6_topgen_4,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_topgen_4(B,A) <=> ? [C] : ( v4_card_3(C) & v2_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & B = k5_setfam_1(u1_struct_0(A),C) ) ) ) ) )).
fof(d6_topgen_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)))) ) => ( D = k5_topgen_5(A,B,C) <=> ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_xreal_0(F) & ~ v3_xxreal_0(F) ) => ( ( ~ r2_tarski(k19_euclid(E,F),k1_topreal9(2,k19_euclid(A,B),C)) => k1_funct_1(D,k19_euclid(E,F)) = 1 ) & ( r2_tarski(k19_euclid(E,F),k1_topreal9(2,k19_euclid(A,B),C)) => k1_funct_1(D,k19_euclid(E,F)) = k7_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),k19_euclid(A,B),k19_euclid(E,F))),C) ) ) ) ) ) ) ) ) ) )).
fof(d6_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_topgrp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m3_topgrp_1(D,A) & k1_funct_1(D,B) = C ) ) ) ) ) )).
fof(d6_topmetr,axiom,( k3_topmetr = k3_pcomps_1(k7_metric_1) )).
fof(d6_topreal1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v2_topreal1(A) <=> ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,A,B),k2_topreal1(2,A,k1_nat_1(B,1))) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))) ) ) ) ) )).
fof(d6_toprealb,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => k7_toprealb(A,B,C) = k1_pre_topc(k15_euclid(A),k3_topreal9(A,B,C)) ) ) ) )).
fof(d6_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ( C = k16_toprealc(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),C,D) = k7_partfun1(k1_numbers,D,B) ) ) ) ) ) )).
fof(d6_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k5_toprns_1(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k12_euclid(k8_nat_1(u1_struct_0(k15_euclid(A)),B,D)) ) ) ) ) ) )).
fof(d6_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) <=> ( r1_tarski(k1_tops_1(A,k2_pre_topc(A,B)),B) & r1_tarski(B,k2_pre_topc(A,k1_tops_1(A,B))) ) ) ) ) )).
fof(d6_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_trees_1(C) ) => ( C = k4_trees_1(A,B) <=> ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r2_tarski(D,C) <=> r2_tarski(k8_finseq_1(k4_ordinal1,B,D),A) ) ) ) ) ) ) ) )).
fof(d6_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( v7_ordinal1(B) => k2_trees_2(A,B) = a_2_0_trees_2(A,B) ) ) )).
fof(d6_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ( m1_trees_3(B,A) <=> ! [C] : ( r2_hidden(C,B) => ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) ) ) ) ) )).
fof(d6_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => k6_trees_4(A,B,C) = k4_trees_4(A,k10_finseq_1(B,C)) ) ) )).
fof(d6_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v3_trees_9(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_tarski(B,k9_xtuple_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k2_trees_9(A,B) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(A)) & D = B & C = k3_relat_1(k1_trees_9(k9_xtuple_0(A),D),A) ) ) ) ) ) ) )).
fof(d6_tsep_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_pre_topc(C,A) => ( r3_tsep_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = u1_struct_0(B) & E = u1_struct_0(C) ) => r1_connsp_1(A,D,E) ) ) ) ) ) ) ) )).
fof(d6_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v6_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & r2_tarski(B,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C))) & r2_tarski(C,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B))) ) ) ) ) ) )).
fof(d6_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ( ( k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),B) != u5_turing_1(A) => k8_turing_1(A,B) = k3_xtuple_0(k1_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(A,B)),k2_xcmplx_0(k6_turing_1(A,B),k5_turing_1(A,k7_turing_1(A,B))),k4_turing_1(A,k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),B),k6_turing_1(A,B),k2_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(A,B)))) ) & ( k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),B) = u5_turing_1(A) => k8_turing_1(A,B) = B ) ) ) ) )).
fof(d6_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k7_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k8_margrel1(k1_binarith(k8_margrel1(B),C)) ) ) ) ) )).
fof(d6_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,k4_partfun1(k3_finseq_2(B),B)) => ( C = k3_unialg_2(A,B) <=> ( k4_finseq_1(C) = k4_finseq_1(u1_unialg_1(A)) & ! [D] : ! [E] : ( m5_margrel1(E,u1_struct_0(A),k1_unialg_2(A)) => ( ( r2_tarski(D,k4_finseq_1(C)) & E = k1_funct_1(u1_unialg_1(A),D) ) => k1_funct_1(C,D) = k2_unialg_2(A,B,E) ) ) ) ) ) ) ) )).
fof(d6_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v2_unialg_2(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k12_unialg_2(A)),u1_struct_0(k12_unialg_2(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_unialg_2(A)),u1_struct_0(k12_unialg_2(B))))) ) => ( D = k5_unialg_3(A,B,C) <=> ! [E] : ( ( v1_unialg_1(E) & m1_unialg_2(E,A) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( F = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E)) => k1_funct_1(D,E) = k7_unialg_2(B,F) ) ) ) ) ) ) ) ) )).
fof(d6_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k4_uproots(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(u1_struct_0(A),D,E) = k8_nat_1(u1_struct_0(A),B,k2_xcmplx_0(C,E)) ) ) ) ) ) ) )).
fof(d6_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( E = k4_urysohn3(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( k3_urysohn3(A,B,C,D,F) = k1_xboole_0 => k12_supinf_2(E,F) = k5_numbers ) & ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(k6_numbers)) ) => ( G = k3_urysohn3(A,B,C,D,F) => k12_supinf_2(E,F) = k8_supinf_2(G) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_valuat_1(C,A,B) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_funct_2(E,k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ( E = k8_valuat_1(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)))) & r2_funct_2(k2_valuat_1(A,B),k5_margrel1,E,k6_valuat_1(A,B,F,D)) & r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k6_valuat_1(A,B,F,k5_cqc_lang(A)),k8_funcop_1(k5_margrel1,k2_valuat_1(A,B),k7_margrel1)) & ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [I] : ( m2_subset_1(I,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v5_relat_1(K,k3_qc_lang1(A)) & v3_card_1(K,J) & m2_finseq_1(K,k2_qc_lang1(A)) ) => ! [L] : ( m2_subset_1(L,k6_qc_lang1(A),k8_qc_lang1(A,J)) => ( r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k6_valuat_1(A,B,F,k4_cqc_lang(J,A,L,K)),k5_valuat_1(A,B,J,K,k7_valuat_1(A,B,J,C,L))) & r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k6_valuat_1(A,B,F,k6_cqc_lang(A,G)),k14_margrel1(k2_valuat_1(A,B),k6_valuat_1(A,B,F,G))) & r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k6_valuat_1(A,B,F,k7_cqc_lang(A,G,H)),k15_margrel1(k2_valuat_1(A,B),k6_valuat_1(A,B,F,G),k6_valuat_1(A,B,F,H))) & r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k6_valuat_1(A,B,F,k11_cqc_lang(A,I,G)),k3_valuat_1(A,B,I,k6_valuat_1(A,B,F,G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d6_valued_0,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_valued_0(A) <=> r1_tarski(k10_xtuple_0(A),k4_ordinal1) ) ) )).
fof(d6_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k30_valued_1(A) = k24_valued_1(A,k4_xcmplx_0(1)) ) )).
fof(d6_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectmetr(A) ) => ( v6_vectmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_metric_1(A,D,C) = k1_metric_1(A,k1_algstr_0(A,D,B),k1_algstr_0(A,C,B)) ) ) ) ) ) )).
fof(d6_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v7_vectsp_1(D,A) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & l1_vectsp_1(D,A) ) => ( D = k6_vectsp10(A,B,C) <=> ( u1_struct_0(D) = k2_vectsp10(A,B,C) & r1_funct_2(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(D)),u1_struct_0(D),k2_zfmisc_1(k2_vectsp10(A,B,C),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C),u1_algstr_0(D),k3_vectsp10(A,B,C)) & k4_struct_0(D) = k4_vectsp10(A,B,C) & r1_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(D)),u1_struct_0(D),k2_zfmisc_1(u1_struct_0(A),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C),u1_vectsp_1(A,D),k5_vectsp10(A,B,C)) ) ) ) ) ) ) )).
fof(d6_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v4_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k6_algstr_0(A,B,k5_struct_0(A)) = B & k6_algstr_0(A,k5_struct_0(A),B) = B ) ) ) ) )).
fof(d6_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k4_vectsp_2(A,B,C,D) = k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B),D,C) ) ) ) ) )).
fof(d6_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( m2_vectsp_4(D,A,B,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k3_vectsp_4(A,B,E,C) ) ) ) ) ) ) )).
fof(d6_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( r1_vectsp_5(A,B,D,E) => ! [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) => ( F = k4_vectsp_5(A,B,C,D,E) <=> ( C = k3_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_struct_0(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_struct_0(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) ) ) ) ) ) ) ) ) ) )).
fof(d6_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ( ( v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v13_algstr_0(B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( D = k4_vectsp_6(A,B,C) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & v2_funct_1(E) & k10_xtuple_0(E) = k1_vectsp_6(A,B,C) & D = k4_rlvect_1(B,k3_vectsp_6(A,B,E,C)) ) ) ) ) ) ) ) )).
fof(d6_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v4_lattice3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r3_lattice3(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattice3(A,D,B) => r1_lattices(A,D,C) ) ) ) ) ) ) )).
fof(d6_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( r1_vfunct_1(A,B,C,D) <=> ? [E] : ( v1_xreal_0(E) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k9_subset_1(A,D,k1_relset_1(A,C))) => r1_xxreal_0(k2_normsp_0(B,k7_partfun1(u1_struct_0(B),C,F)),E) ) ) ) ) ) ) ) )).
fof(d6_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => k6_vsdiff_1(A,B,C,D,E,F) = k2_vfunct_1(u1_struct_0(C),E,F,k3_vsdiff_1(A,B,C,E,F,k4_algstr_0(C,D))) ) ) ) ) ) ) )).
fof(d6_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v4_yellow_0(B,k2_waybel10(A)) & m1_yellow_0(B,k2_waybel10(A)) ) => ( B = k7_waybel10(A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( m1_subset_1(C,u1_struct_0(B)) <=> v22_waybel_0(C,A,A) ) ) ) ) ) )).
fof(d6_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => k1_waybel11(A,B) = k1_yellow_0(A,a_2_0_waybel11(A,B)) ) ) )).
fof(d6_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_yellow_8(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v4_card_3(B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => ( v3_pre_topc(C,A) & v1_tops_1(C,A) ) ) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C = k8_setfam_1(u1_struct_0(A),B) & v1_tops_1(C,A) ) ) ) ) ) ) )).
fof(d6_waybel18,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k7_waybel18(A,B,C) = k1_pre_topc(B,k2_relset_1(u1_struct_0(B),C)) ) ) ) )).
fof(d6_waybel23,axiom,( ! [A] : ( l1_pre_topc(A) => ( v5_waybel23(A) <=> r1_ordinal1(k2_waybel23(A),k4_ordinal1) ) ) )).
fof(d6_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v9_functor0(B,k4_waybel34(A),k5_waybel34(A)) & v16_functor0(B,k4_waybel34(A),k5_waybel34(A)) & m2_functor0(B,k4_waybel34(A),k5_waybel34(A)) ) => ( B = k6_waybel34(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(k4_waybel34(A))) => k3_functor0(k4_waybel34(A),k5_waybel34(A),B,C) = k4_yellow21(k4_waybel34(A),C) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k4_waybel34(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel34(A))) => ( k1_altcat_1(k4_waybel34(A),C,D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_altcat_1(k4_waybel34(A),C,D)) => k8_functor0(k4_waybel34(A),k5_waybel34(A),B,C,D,E) = k1_waybel34(k3_yellow21(k4_waybel34(A),C),k3_yellow21(k4_waybel34(A),D),k5_yellow21(k4_waybel34(A),C,D,E)) ) ) ) ) ) ) ) ) )).
fof(d6_waybel35,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( r1_waybel35(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r2_tarski(E,B) & r2_hidden(k4_tarski(D,E),C) & D != E & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,B) & r2_hidden(k4_tarski(D,F),C) & r2_hidden(k4_tarski(F,E),C) & D != F ) ) ) ) ) ) ) ) )).
fof(d6_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v7_waybel_0(A) <=> v1_waybel_0(k2_struct_0(A),A) ) ) )).
fof(d6_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( r3_waybel_1(A,B,C) <=> ( r2_yellow_0(A,C) & B = k2_yellow_0(A,C) & r2_tarski(k2_yellow_0(A,C),C) ) ) ) ) )).
fof(d6_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_waybel_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k11_lattice3(A,B,k1_yellow_0(A,C)) = k1_yellow_0(A,k3_yellow_4(A,k6_domain_1(u1_struct_0(A),B),C)) ) ) ) ) )).
fof(d6_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_xboole_0(k1_waybel_3(A,B)) & v1_waybel_0(k1_waybel_3(A,B),A) ) ) & v24_waybel_0(A) & v2_waybel_3(A) ) ) ) )).
fof(d6_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v4_waybel_4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k3_yellow_0(A),C),B) ) ) ) ) )).
fof(d6_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_orders_2(A,k11_lattice3(A,C,D),B) & ~ r1_orders_2(A,C,B) & ~ r1_orders_2(A,D,B) ) ) ) ) ) ) )).
fof(d6_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_waybel_7(B,A) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & v1_waybel_7(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k1_yellow_0(A,C) ) ) ) ) )).
fof(d6_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v6_waybel_0(B,A) & l1_waybel_0(B,A) ) => ( B = k3_waybel_9(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & u1_orders_2(B) = k3_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A)) & u1_waybel_0(A,B) = k3_struct_0(A) ) ) ) ) )).
fof(d6_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B,k4_weddwitt(A)) & v8_vectsp_1(B,k4_weddwitt(A)) & v9_vectsp_1(B,k4_weddwitt(A)) & v10_vectsp_1(B,k4_weddwitt(A)) & v11_vectsp_1(B,k4_weddwitt(A)) & l1_vectsp_1(B,k4_weddwitt(A)) ) => ( B = k6_weddwitt(A) <=> ( g2_algstr_0(u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B)) = g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A)) & u1_vectsp_1(k4_weddwitt(A),B) = k2_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(k4_weddwitt(A)),u1_struct_0(A))) ) ) ) ) )).
fof(d6_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)))) ) => ( C = k6_weierstr(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k3_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,D),B)) ) ) ) ) ) )).
fof(d6_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_wellfnd1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ( k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k1_nat_1(C,1)) != k8_nat_1(u1_struct_0(A),B,C) & r2_hidden(k4_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k1_nat_1(C,1)),k8_nat_1(u1_struct_0(A),B,C)),u1_orders_2(A)) ) ) ) ) ) )).
fof(d6_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : k2_wellord1(A,B) = k3_xboole_0(A,k2_zfmisc_1(B,B)) ) )).
fof(d6_xboole_0,axiom,( ! [A] : ! [B] : k5_xboole_0(A,B) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)) )).
fof(d6_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k5_xboolean(A,B) = k3_xboolean(k4_xboolean(k3_xboolean(A),k3_xboolean(B))) ) ) )).
fof(d6_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ( A != k5_numbers => ( B = k5_xcmplx_0(A) <=> k3_xcmplx_0(A,B) = 1 ) ) & ( A = k5_numbers => ( B = k5_xcmplx_0(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d6_xtuple_0,axiom,( ! [A] : k4_xtuple_0(A) = k1_xtuple_0(k1_xtuple_0(A)) )).
fof(d6_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ( v2_xxreal_0(A) <=> ~ r1_xxreal_0(A,k5_numbers) ) ) )).
fof(d6_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ( v2_xxreal_2(A) <=> r2_hidden(k1_xxreal_2(A),A) ) ) )).
fof(d6_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( v1_xreal_0(A) => ( B = k5_xxreal_3(A) <=> ? [C] : ( v1_xcmplx_0(C) & A = C & B = k5_xcmplx_0(C) ) ) ) & ( ~ v1_xreal_0(A) => ( B = k5_xxreal_3(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d6_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( r5_yellow16(A,B,C) <=> ( r1_yellow_0(B,C) => r2_tarski(k1_yellow_0(B,C),u1_struct_0(A)) ) ) ) ) )).
fof(d6_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r3_yellow18(A,B) <=> r1_yellow18(A,k1_yellow18(B)) ) ) ) )).
fof(d6_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_yellow21(A,B) = B ) ) )).
fof(d6_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ( v3_yellow_0(A) <=> ( v1_yellow_0(A) & v2_yellow_0(A) ) ) ) )).
fof(d6_yellow_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( v1_orders_2(C) & v4_yellow_0(C,k5_yellow_1(u1_struct_0(A),B)) & m1_yellow_0(C,k5_yellow_1(u1_struct_0(A),B)) ) => ( C = k6_yellow_1(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r2_tarski(D,u1_struct_0(C)) <=> ( r2_tarski(D,k1_funct_2(u1_struct_0(A),u1_struct_0(B))) & v5_orders_3(D,A,B) ) ) ) ) ) ) ) )).
fof(d6_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( v1_relat_1(B) => k5_yellow_2(A,B) = k2_yellow_0(A,k10_xtuple_0(B)) ) ) )).
fof(d6_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => ! [C] : ( l1_waybel_0(C,A) => ( m1_yellow_6(C,A,B) <=> ( m1_yellow_0(C,B) & u1_waybel_0(A,C) = k2_partfun1(u1_struct_0(B),u1_struct_0(A),u1_waybel_0(A,B),u1_struct_0(C)) ) ) ) ) ) )).
fof(d6_yellow_8,axiom,( ! [A] : ! [B] : ( ( v1_pre_topc(B) & l1_pre_topc(B) ) => ( B = k1_yellow_8(A) <=> ( u1_struct_0(B) = A & k7_setfam_1(u1_struct_0(B),u1_pre_topc(B)) = k2_xboole_0(k1_tarski(A),k5_finsub_1(A)) ) ) ) )).
fof(d6_yellow_9,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v2_pre_topc(C) & l1_pre_topc(C) ) => ( m3_yellow_9(C,A,B) <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) & v1_tops_2(k2_xboole_0(u1_pre_topc(A),u1_pre_topc(B)),C) & v2_cantor_1(k2_xboole_0(u1_pre_topc(A),u1_pre_topc(B)),C) & m1_subset_1(k2_xboole_0(u1_pre_topc(A),u1_pre_topc(B)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) ) ) ) ) )).
fof(d6_zf_lang,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k6_zf_lang(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k14_trees_3(3),A),B) ) ) )).
fof(d6_zf_model,axiom,( k6_zf_model = k13_zf_lang(k2_zf_lang(k5_numbers),k2_zf_lang(1),k10_zf_lang(k7_zf_lang(k2_zf_lang(2),k11_zf_lang(k4_zf_lang(k2_zf_lang(2),k2_zf_lang(k5_numbers)),k4_zf_lang(k2_zf_lang(2),k2_zf_lang(1)))),k3_zf_lang(k2_zf_lang(k5_numbers),k2_zf_lang(1)))) )).
fof(d6_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_zfmisc_1(A,B,C,D) <=> ( A != B & A != C & A != D & B != C & B != D & C != D ) ) )).
fof(d6_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => k6_zmodul02(A,B) = a_2_1_zmodul02(A,B) ) ) )).
fof(d6_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k5_zmodul04(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A))))) ) => ( B = k6_zmodul04(A) <=> ( v2_funct_1(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,C) = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k1_domain_1(u1_struct_0(A),k4_ordinal1,C,1)) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,k3_rlvect_1(A,C,D)) = k3_rlvect_1(k5_zmodul04(A),k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,D)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_int_1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_gaussint)) => ( D = E => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,k1_zmodul01(A,C,D)) = k3_vectsp_1(k11_gaussint,k5_zmodul04(A),E,k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,C)) ) ) ) ) & k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,k4_struct_0(A)) = k4_struct_0(k5_zmodul04(A)) ) ) ) ) ) )).
fof(d6_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k5_zmodul05(A,B,C) = k1_funct_4(k2_partfun1(u1_struct_0(A),k4_numbers,B,C),k8_funcop_1(k4_ordinal1,k3_subset_1(u1_struct_0(A),C),k5_numbers)) ) ) ) )).
fof(d70_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k76_aofa_i00(A,B,C,D,E,F) = k67_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k43_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F)) ) ) ) ) ) ) )).
fof(d70_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zfmisc_1(A),k1_zfmisc_1(A)) & v6_cohsp_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( E = k58_modelc_1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),E,F) = k54_modelc_1(A,B,C,D,F) ) ) ) ) ) ) ) )).
fof(d71_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k77_aofa_i00(A,B,C,D,E,F) = k67_aofa_i00(A,B,C,D,k43_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E)) ) ) ) ) ) ) )).
fof(d71_fomodel4,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k40_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))))) ) => ( E = k44_fomodel4(A,B,C,D) <=> ( k8_nat_1(k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B))),E,k5_numbers) = A & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k8_nat_1(k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B))),E,k2_xcmplx_0(F,1)) = k43_fomodel4(B,C,k8_nat_1(k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B))),E,F),k8_nat_1(k40_fomodel2(B),D,F)) ) ) ) ) ) ) ) ) )).
fof(d71_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k48_modelc_1(A,B,C))) => k59_modelc_1(A,B,C,D,E,F) = k28_modelc_1(k48_modelc_1(A,B,C),E,k53_modelc_1(A,B,C,D,F)) ) ) ) ) ) ) )).
fof(d72_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k78_aofa_i00(A,B,C,D,E,F) = k68_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k43_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F)) ) ) ) ) ) ) )).
fof(d72_fomodel4,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k40_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(B)))) ) => k45_fomodel4(A,B,C,D) = k3_tarski(k10_xtuple_0(k44_fomodel4(A,B,C,D))) ) ) ) ) )).
fof(d72_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => k60_modelc_1(A,B,C,D,E,F) = k51_modelc_1(A,B,C,k59_modelc_1(A,B,C,D,E,k52_modelc_1(A,B,C,F))) ) ) ) ) ) ) )).
fof(d73_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( v1_int_1(F) => k79_aofa_i00(A,B,C,D,E,F) = k68_aofa_i00(A,B,C,D,k43_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E)) ) ) ) ) ) ) )).
fof(d73_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k30_fomodel2(B)) => ( ( ~ v9_fomodel4(k35_fomodel2(B,D),B,C,A) => k46_fomodel4(A,B,C,D) = k2_xboole_0(A,k6_domain_1(k30_fomodel2(B),D)) ) & ( v9_fomodel4(k35_fomodel2(B,D),B,C,A) => k46_fomodel4(A,B,C,D) = k2_xboole_0(A,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel2(B,D))) ) ) ) ) ) )).
fof(d73_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zfmisc_1(A),k1_zfmisc_1(A)) & v6_cohsp_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( F = k61_modelc_1(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),F,G) = k60_modelc_1(A,B,C,D,E,G) ) ) ) ) ) ) ) ) )).
fof(d74_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))))) ) => ( E = k48_fomodel4(A,B,C,D) <=> ( k8_nat_1(k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B))),E,k5_numbers) = A & ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B))),E,k2_xcmplx_0(F,1)) = k47_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B))),E,F),B,C,k8_nat_1(k30_fomodel2(B),D,F)) ) ) ) ) ) ) ) )).
fof(d75_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k81_aofa_i00(A,B,C,D,E,F) = k53_aofa_i00(A,B,C,D,E,k42_aofa_i00(A,B,C,D,F)) ) ) ) ) ) ) )).
fof(d75_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => k49_fomodel4(A,B,C,D) = k3_tarski(k10_xtuple_0(k48_fomodel4(A,B,C,D))) ) ) ) )).
fof(d76_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k82_aofa_i00(A,B,C,D,E,F) = k54_aofa_i00(A,B,C,D,E,k42_aofa_i00(A,B,C,D,F)) ) ) ) ) ) ) )).
fof(d76_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k50_fomodel4(A) = a_1_1_fomodel4(A) ) )).
fof(d77_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k83_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k36_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),k42_aofa_i00(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(d78_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => k84_aofa_i00(A,B,C,D,E,F) = k47_aofa_i00(A,B,C,D,E,k35_aofa_i00(A,B,C,D,k42_aofa_i00(A,B,C,D,E),k42_aofa_i00(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(d7_abcmiz_0,axiom,( ! [A] : ( l1_abcmiz_0(A) => ( v6_abcmiz_0(A) <=> ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => k1_abcmiz_0(A,B) != B ) ) ) )).
fof(d7_abcmiz_1,axiom,( k9_abcmiz_1 = k5_numbers )).
fof(d7_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( m1_abcmiz_a(C,A,B) <=> r2_tarski(C,k3_trees_9(B)) ) ) ) ) )).
fof(d7_abian,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( C = k2_abian(A,B) <=> ! [D] : ! [E] : ( ( r2_tarski(D,A) & r2_tarski(E,A) ) => ( r2_hidden(k4_tarski(D,E),C) <=> ? [F] : ( v7_ordinal1(F) & ? [G] : ( v7_ordinal1(G) & k1_funct_1(k1_abian(A,B,F),D) = k1_funct_1(k1_abian(A,B,G),E) ) ) ) ) ) ) ) )).
fof(d7_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r7_absred_0(A,B,C) <=> r2_rewrite1(u1_absred_0(A),B,C) ) ) ) ) )).
fof(d7_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v7_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & r2_hidden(C,B) & r2_hidden(F,B) & r2_hidden(I,B) & r1_aff_1(A,C,D,G) & r1_aff_1(A,C,E,H) & r2_analoaf(A,D,E,G,H) & r2_analoaf(A,D,F,G,I) & r2_aff_1(A,D,E,B) ) => ( r2_hidden(D,B) | C = F | D = E | r2_analoaf(A,E,F,H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v7_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,C) & r2_hidden(H,C) & r2_hidden(I,D) & r2_hidden(J,D) & r5_aff_1(A,B,D) & r1_aff_1(A,G,E,K) & r1_aff_1(A,H,F,K) & r1_aff_1(A,G,I,L) & r1_aff_1(A,H,J,L) & r2_analoaf(A,E,I,F,J) & r2_analoaf(A,E,I,K,L) ) => ( B = C | B = D | C = D | r1_aff_1(A,G,E,I) | r1_aff_1(A,H,F,J) | K = L | E = F | r5_aff_1(A,B,C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_afinsq_1,axiom,( ! [A] : ! [B] : ( B = k8_afinsq_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) ) ) )).
fof(d7_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : k5_afinsq_2(A,B) = k3_relat_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k5_card_1(k1_afinsq_1(A)))),A) ) )).
fof(d7_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k7_afproj(A) = k8_eqrel_1(k1_afproj(A),k3_afproj(A)) ) )).
fof(d7_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( C = k4_afvect0(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k1_afvect0(A,B,D) ) ) ) ) ) )).
fof(d7_algspec1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_algspec1(B) => ( m4_algspec1(B,A) <=> ? [C] : ( ~ v11_struct_0(C) & m2_algspec1(C,A) & v1_msualg_6(B,C) & l3_msualg_1(B,C) ) ) ) ) )).
fof(d7_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ( v6_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_algstr_0(B,A) ) ) ) )).
fof(d7_algstr_1,axiom,( k2_algstr_1 = g5_algstr_0(k1_numbers,k11_binop_2,k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers)) )).
fof(d7_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(B) ) => k6_algstr_4(A,B) = k1_setfam_1(a_2_0_algstr_4(A,B)) ) ) )).
fof(d7_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ! [C] : ( m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) => ( v5_altcat_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => ? [E] : ( r2_tarski(E,k1_binop_1(B,D,D)) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( r2_tarski(G,k1_binop_1(B,F,D)) => k1_binop_1(k4_altcat_1(A,B,C,F,D,D),E,G) = G ) ) ) ) ) ) ) ) )).
fof(d7_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ( v1_altcat_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_altcat_1(A,B,B) != k1_xboole_0 ) ) ) )).
fof(d7_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( v4_altcat_3(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k1_altcat_1(A,E,B) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,E,B)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,E,B)) => ( k5_altcat_1(A,E,B,C,F,D) = k5_altcat_1(A,E,B,C,G,D) => F = G ) ) ) ) ) ) ) ) ) ) )).
fof(d7_altcat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v3_altcat_6(A) <=> ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_altcat_6(E,A,D,B,C) & v1_altcat_6(E,A,B,C,D) & v2_altcat_6(E,A,B,C,D) ) ) ) ) ) )).
fof(d7_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( v7_ordinal1(B) => k6_ami_2(A,B) = k1_funct_4(A,k17_funcop_1(k4_ordinal1,B)) ) ) )).
fof(d7_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k6_ami_3(A,B) = k3_xtuple_0(5,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d7_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k5_ami_wstd(A,B,C) = k4_ami_wstd(A,B,C,1) ) ) ) )).
fof(d7_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v1_extpro_1(B,A) & l1_extpro_1(B,A) ) => ( B = k4_amistd_1(A) <=> ( u1_struct_0(B) = k6_domain_1(k4_ordinal1,k5_numbers) & k4_struct_0(B) = k5_numbers & u1_compos_1(B) = k2_tarski(k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers,k5_numbers),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,k5_numbers)) & u1_memstr_0(A,B) = k17_funcop_1(k5_numbers,k5_numbers) & r8_pboole(A,u2_memstr_0(A,B),k7_funcop_1(A,k4_ordinal1)) & ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_card_3(k2_memstr_0(A,B)),k4_card_3(k2_memstr_0(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(A,B)),k4_card_3(k2_memstr_0(A,B))))) & ! [D] : ( m1_subset_1(D,k4_card_3(k2_memstr_0(A,B))) => k1_funct_1(C,D) = k1_funct_4(D,k17_funcop_1(k5_numbers,k1_nat_1(k10_subset_1(k1_funct_1(D,k5_numbers),k4_ordinal1),1))) ) & u1_extpro_1(A,B) = k1_funct_4(k17_funcop_1(k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,k5_numbers),C),k17_funcop_1(k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers,k5_numbers),k6_partfun1(k4_card_3(k2_memstr_0(A,B))))) ) ) ) ) ) )).
fof(d7_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_analort(A,B,C) = g1_analmetr(u1_struct_0(A),k3_analort(A,B,C)) ) ) ) )).
fof(d7_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k5_anproj_1(A) = g1_collsp(k3_anproj_1(A),k4_anproj_1(A)) ) )).
fof(d7_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ( v2_collsp(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_collsp(A,B,C,B) & r1_collsp(A,B,B,C) & r1_collsp(A,B,C,C) ) ) ) ) ) ) )).
fof(d7_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k7_aofa_000(A,B,C) <=> ( k9_xtuple_0(D) = k9_xtuple_0(A) & ! [E] : ( r2_tarski(E,k9_xtuple_0(A)) => ( ( r1_tarski(k5_aofa_000(A,E),B) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(F,G) => r2_tarski(k1_funct_1(k8_funct_7(A,G),E),B) ) ) => ( r2_hidden(k1_funct_1(k8_funct_7(A,F),E),B) | k1_funct_1(D,E) = k1_funct_1(k8_funct_7(A,F),E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_relat_1(C) & m1_msafree(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,D)) => k4_aofa_a01(A,B,C,D,E) = E ) ) ) ) ) )).
fof(d7_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_armstrng(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_armstrng(A))) => ( r2_armstrng(A,B,C) <=> ! [D] : ( m1_subset_1(D,u3_armstrng(A)) => ! [E] : ( m1_subset_1(E,u3_armstrng(A)) => ( k5_relat_1(D,B) = k5_relat_1(E,B) => k5_relat_1(D,C) = k5_relat_1(E,C) ) ) ) ) ) ) ) )).
fof(d7_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k6_arytm_2(A,B) = a_2_1_arytm_2(A,B) ) ) )).
fof(d7_arytm_3,axiom,( k5_arytm_3 = k2_xboole_0(k6_subset_1(a_0_0_arytm_3,a_0_1_arytm_3),k4_ordinal1) )).
fof(d7_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k5_asympt_0(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k4_xxreal_0(k8_nat_1(k1_numbers,A,D),k8_nat_1(k1_numbers,B,D)) ) ) ) ) ) )).
fof(d7_asympt_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( A != k5_numbers => ( B = k6_asympt_1(A) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & r1_xxreal_0(k7_newton(C),A) & ~ r1_xxreal_0(k7_newton(k1_nat_1(C,1)),A) & B = k7_newton(C) ) ) ) & ( A = k5_numbers => ( B = k6_asympt_1(A) <=> B = k5_numbers ) ) ) ) ) )).
fof(d7_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k7_autalg_1(A,B) = g3_algstr_0(k5_autalg_1(A,B),k6_autalg_1(A,B)) ) ) )).
fof(d7_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_hidden(k4_tarski(C,D),B) => r2_hidden(k4_tarski(k11_pre_poly(A,C,E),k11_pre_poly(A,D,E)),B) ) ) ) ) => ! [C] : ( ( v1_partfun1(C,k15_pre_poly(A)) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( C = k5_bagorder(A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_hidden(k4_tarski(D,E),C) <=> ~ ( r1_xxreal_0(k3_bagorder(A,E),k3_bagorder(A,D)) & ~ ( k3_bagorder(A,D) = k3_bagorder(A,E) & r2_hidden(k4_tarski(D,E),B) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v7_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( k1_bcialg_1(A,B,C) = k4_struct_0(A) & k1_bcialg_1(A,C,B) = k4_struct_0(A) ) => B = C ) ) ) ) ) )).
fof(d7_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v6_bcialg_3(A) & l2_bcialg_1(A) ) => ( v7_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_bcialg_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)) = C ) ) ) ) ) )).
fof(d7_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k6_bcialg_4(A,B,C) = k9_nat_1(u1_struct_0(A),k5_bcialg_4(A),B,C) ) ) ) )).
fof(d7_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m3_bciideal(B,A) <=> ( r2_tarski(k4_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,C,k1_bcialg_1(A,D,C)),E),B) & r2_tarski(E,B) ) => r2_tarski(C,B) ) ) ) ) ) ) ) ) )).
fof(d7_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k6_bhsp_2(A,B,C) = a_3_2_bhsp_2(A,B,C) ) ) ) )).
fof(d7_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k5_bhsp_4(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(u1_struct_0(A),D,E) = k1_rlvect_1(A,k8_nat_1(u1_struct_0(A),B,E),k8_nat_1(k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d7_bhsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r1_bhsp_6(A,B,C) => ! [D] : ( v1_xreal_0(D) => ( D = k3_bhsp_6(A,B,C) <=> ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(F) & r1_tarski(F,B) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(F,G) & r1_tarski(G,B) & r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(D,k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,G,C)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( F = k5_bilinear(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),F,G,H) = k5_algstr_0(A,k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,G,H),k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),E,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(d7_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( r1_binarith(A,B,C) <=> k8_binarith(A,B,C) = k6_margrel1 ) ) ) ) )).
fof(d7_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( E = k7_binom(A,B,C,D) <=> ( k3_finseq_1(E) = k1_nat_1(D,1) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(F,k1_relset_1(k4_ordinal1,E)) & H = k6_xcmplx_0(F,1) & G = k6_xcmplx_0(D,H) ) => k7_partfun1(u1_struct_0(A),E,F) = k6_algstr_0(A,k5_binom(A,k2_binom(A,B,G),k4_newton(H,D)),k2_binom(A,C,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r3_binop_1(A,B,C) <=> ( r1_binop_1(A,B,C) & r2_binop_1(A,B,C) ) ) ) )).
fof(d7_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k7_binop_2 <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k4_xcmplx_0(B) ) ) ) )).
fof(d7_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_eqrel_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = k11_borsuk_1(A,B) <=> ( u1_struct_0(C) = B & u1_pre_topc(C) = a_2_1_borsuk_1(A,B) ) ) ) ) ) )).
fof(d7_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ( r3_borsuk_2(A,B,C,D,E) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) & v5_pre_topc(F,k2_borsuk_1(k5_topmetr,k5_topmetr),A) & ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ( k1_binop_1(F,G,k5_numbers) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),D,G) & k1_binop_1(F,G,1) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),E,G) & k1_binop_1(F,k5_numbers,G) = B & k1_binop_1(F,1,G) = C ) ) ) ) ) ) ) ) ) )).
fof(d7_borsuk_6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) ) => ( A = k5_borsuk_6 <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ( ( r1_xxreal_0(B,k7_xcmplx_0(1,2)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) = k3_xcmplx_0(k7_xcmplx_0(1,2),B) ) & ( r1_xxreal_0(B,k7_xcmplx_0(3,4)) => ( r1_xxreal_0(B,k7_xcmplx_0(1,2)) | k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) = k6_xcmplx_0(B,k7_xcmplx_0(1,4)) ) ) & ( ~ r1_xxreal_0(B,k7_xcmplx_0(3,4)) => k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) = k6_xcmplx_0(k3_xcmplx_0(2,B),1) ) ) ) ) ) )).
fof(d7_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k17_borsuk_1),u1_struct_0(k8_toprealb(3))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k8_toprealb(3))))) ) => ( B = k12_borsuk_7(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k17_borsuk_1)) => k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k8_toprealb(3)),B,C) = k4_euclid_5(k19_sin_cos(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A),C)),k17_sin_cos(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A),C)),k5_numbers) ) ) ) ) )).
fof(d7_bspace,axiom,( ! [A] : k7_bspace(A) = g1_vectsp_1(k2_bspace,k1_zfmisc_1(A),k5_bspace(A),k1_subset_1(A),k6_bspace(A)) )).
fof(d7_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => k5_bvfunc_2(A,B,C) = k2_bvfunc_2(A,k7_subset_1(k1_bvfunc_2(A),C,k4_bvfunc_2(A,B))) ) ) ) )).
fof(d7_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_ideal_1(B,A) & v1_c0sp1(B,A) ) => ( v1_xboole_0(B) | k3_c0sp1(A,B) = k4_struct_0(A) ) ) ) ) )).
fof(d7_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k7_c0sp2(A) = g1_rlvect_1(k6_c0sp2(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k6_c0sp2(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k6_c0sp2(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k6_c0sp2(A))) ) )).
fof(d7_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_zfmisc_1(k4_calcul_1(A),k2_cqc_the1)) => ! [C] : ( v7_ordinal1(C) => ( ( k2_xtuple_0(k1_funct_1(B,C)) = k5_numbers => ( r3_calcul_1(A,B,C) <=> ? [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) & r1_calcul_1(k1_calcul_1(k3_cqc_lang(A),D),k2_calcul_1(A,D)) & k1_xtuple_0(k1_funct_1(B,C)) = D ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 1 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) & k1_xtuple_0(k1_funct_1(B,C)) = k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),k5_cqc_lang(A))) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 2 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_finseq_1(E,k3_cqc_lang(A)) & ? [F] : ( m2_finseq_1(F,k3_cqc_lang(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & r2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),E),k1_calcul_1(k3_cqc_lang(A),F)) & k2_calcul_1(A,E) = k2_calcul_1(A,F) & k1_xtuple_0(k1_funct_1(B,D)) = E & k1_xtuple_0(k1_funct_1(B,C)) = F ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 3 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( m2_finseq_1(F,k3_cqc_lang(A)) & ? [G] : ( m2_finseq_1(G,k3_cqc_lang(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(k3_finseq_1(F),1) & ~ r1_xxreal_0(k3_finseq_1(G),1) & r2_relset_1(k4_ordinal1,k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),F)),k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),G))) & k6_cqc_lang(A,k2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),F))) = k2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),G)) & k2_calcul_1(A,F) = k2_calcul_1(A,G) & F = k1_xtuple_0(k1_funct_1(B,E)) & G = k1_xtuple_0(k1_funct_1(B,D)) & k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),F)),k12_finseq_1(k3_cqc_lang(A),k2_calcul_1(A,F))) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 4 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( m2_finseq_1(F,k3_cqc_lang(A)) & ? [G] : ( m2_finseq_1(G,k3_cqc_lang(A)) & ? [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(k3_finseq_1(F),1) & r2_relset_1(k4_ordinal1,k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),F),k1_calcul_1(k3_cqc_lang(A),G)) & k2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),F)) = k6_cqc_lang(A,H) & k6_cqc_lang(A,k2_calcul_1(A,F)) = k2_calcul_1(A,G) & F = k1_xtuple_0(k1_funct_1(B,E)) & G = k1_xtuple_0(k1_funct_1(B,D)) & k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),F)),k12_finseq_1(k3_cqc_lang(A),H)) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 5 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( m2_finseq_1(F,k3_cqc_lang(A)) & ? [G] : ( m2_finseq_1(G,k3_cqc_lang(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(D,E) & r2_relset_1(k4_ordinal1,k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),F),k1_calcul_1(k3_cqc_lang(A),G)) & F = k1_xtuple_0(k1_funct_1(B,E)) & G = k1_xtuple_0(k1_funct_1(B,D)) & k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),F),k12_finseq_1(k3_cqc_lang(A),k7_cqc_lang(A,k2_calcul_1(A,F),k2_calcul_1(A,G)))) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 6 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_finseq_1(E,k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & k7_cqc_lang(A,F,G) = k2_calcul_1(A,E) & E = k1_xtuple_0(k1_funct_1(B,D)) & k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),E),k12_finseq_1(k3_cqc_lang(A),F)) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 7 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_finseq_1(E,k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & k7_cqc_lang(A,F,G) = k2_calcul_1(A,E) & E = k1_xtuple_0(k1_funct_1(B,D)) & k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),E),k12_finseq_1(k3_cqc_lang(A),G)) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 8 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_finseq_1(E,k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) & ? [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & k2_calcul_1(A,E) = k11_cqc_lang(A,G,F) & E = k1_xtuple_0(k1_funct_1(B,D)) & k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),E),k12_finseq_1(k3_cqc_lang(A),k4_substut2(A,F,G,H))) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) ) & ( k2_xtuple_0(k1_funct_1(B,C)) = 9 => ( r3_calcul_1(A,B,C) <=> ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_finseq_1(E,k3_cqc_lang(A)) & ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & ? [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) & ? [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & k2_calcul_1(A,E) = k4_substut2(A,F,G,H) & ~ r2_tarski(H,k3_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),E))) & ~ r2_tarski(H,k24_qc_lang1(A,k11_cqc_lang(A,G,F))) & E = k1_xtuple_0(k1_funct_1(B,D)) & k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),E),k12_finseq_1(k3_cqc_lang(A),k11_cqc_lang(A,G,F))) = k1_xtuple_0(k1_funct_1(B,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) => k6_card_3(A) = k1_card_1(k3_card_3(k2_card_3(A))) ) )).
fof(d7_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_card_fil(B,A) => ( v3_card_fil(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) | r2_tarski(k6_subset_1(A,C),B) ) ) ) ) ) )).
fof(d7_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v3_card_lar(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ~ ( v2_card_lar(C,A) & v1_card_lar(C,A) & v1_xboole_0(k9_subset_1(A,B,C)) ) ) ) ) ) )).
fof(d7_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ( v3_cat_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k3_graph_1(A,C) = k4_graph_1(A,B) => ( k3_graph_1(A,k1_cat_1(A,B,C)) = k3_graph_1(A,B) & k4_graph_1(A,k1_cat_1(A,B,C)) = k4_graph_1(A,C) ) ) ) ) ) ) )).
fof(d7_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => k6_cat_2(A,B) = g1_cat_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)),k16_funct_3(u4_struct_0(A),u4_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_graph_1(A),u1_graph_1(B)),k16_funct_3(u4_struct_0(A),u4_struct_0(B),u1_struct_0(A),u1_struct_0(B),u2_graph_1(A),u2_graph_1(B)),k8_funct_4(u4_struct_0(A),u4_struct_0(B),u1_cat_1(A),u1_cat_1(B))) ) ) )).
fof(d7_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,u4_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( E = k8_cat_3(A,B,C,D) <=> ! [F] : ( r2_tarski(F,B) => k7_partfun1(u4_struct_0(A),E,F) = k1_cat_1(A,k7_partfun1(u4_struct_0(A),D,F),k7_partfun1(u4_struct_0(A),C,F)) ) ) ) ) ) ) )).
fof(d7_cat_4,axiom,( ! [A] : ! [B] : k5_cat_4(A,B) = g1_cat_4(k1_tarski(A),k1_tarski(B),k19_funcop_1(B,A),k19_funcop_1(B,A),k18_funcop_1(B,B,B),k1_algstr_1(A),k18_funcop_1(A,A,A),k18_funcop_1(A,A,B),k18_funcop_1(A,A,B)) )).
fof(d7_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => k7_cat_5(A) = A ) )).
fof(d7_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v5_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ~ ( r2_tarski(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ~ ( r1_cat_6(A,B,C) & v3_cat_6(C,A) ) ) ) ) ) ) )).
fof(d7_catalg_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( v3_catalg_1(A) <=> ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ! [C] : ~ ( r2_hidden(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( C = k4_tarski(D,E) & k3_finseq_1(E) = k3_funct_2(k4_ordinal1,k4_ordinal1,B,D) & r1_tarski(k2_zfmisc_1(k1_tarski(D),k4_finseq_2(k3_funct_2(k4_ordinal1,k4_ordinal1,B,D),k4_catalg_1(A))),u1_struct_0(A)) ) ) ) ) & ! [C] : ~ ( r2_hidden(C,u4_struct_0(A)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( C = k4_tarski(D,E) & k3_finseq_1(E) = k3_funct_2(k4_ordinal1,k4_ordinal1,B,D) & r1_tarski(k2_zfmisc_1(k1_tarski(D),k4_finseq_2(k3_funct_2(k4_ordinal1,k4_ordinal1,B,D),k4_catalg_1(A))),u4_struct_0(A)) ) ) ) ) ) ) ) )).
fof(d7_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( r2_hidden(B,k2_cc0sp1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( C = k4_cc0sp1(A,B) <=> ( C = B & v1_comseq_2(k2_partfun1(A,k2_numbers,C,A)) ) ) ) ) ) )).
fof(d7_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k6_cc0sp2(A) = a_1_1_cc0sp2(A) ) )).
fof(d7_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( v1_xcmplx_0(B) => ( r1_cfdiff_1(A,B) => ! [C] : ( m1_subset_1(C,k2_numbers) => ( C = k2_cfdiff_1(A,B) <=> ? [D] : ( m1_cfdiff_1(D,B) & r1_tarski(D,k1_relset_1(k2_numbers,A)) & ? [E] : ( v1_funct_1(E) & v1_partfun1(E,k2_numbers) & v3_cfdiff_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & ? [F] : ( v1_funct_1(F) & v1_partfun1(F,k2_numbers) & v2_cfdiff_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & C = k10_funct_2(k2_numbers,k2_numbers,E,k6_complex1) & ! [G] : ( v1_xcmplx_0(G) => ( r2_hidden(G,D) => k6_xcmplx_0(k7_partfun1(k2_numbers,A,G),k7_partfun1(k2_numbers,A,B)) = k2_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,E,k6_xcmplx_0(G,B)),k10_funct_2(k2_numbers,k2_numbers,F,k6_xcmplx_0(G,B))) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k7_cfuncdom(A) = g6_algstr_0(k9_funct_2(A,k2_numbers),k1_cfuncdom(A),k2_cfuncdom(A),k5_cfuncdom(A),k4_cfuncdom(A)) ) )).
fof(d7_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( B = k7_cgames_1(A) <=> ? [C] : ( l1_cgames_1(C) & A = C & B = u2_cgames_1(C) ) ) ) )).
fof(d7_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,A) => k4_chain_1(A,B,C) = a_3_1_chain_1(A,B,C) ) ) ) ) )).
fof(d7_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( v3_chord(B,A) <=> ( k2_chord(A,k6_domain_1(k6_glib_000(A),B)) != k1_xboole_0 => ! [C] : ( m1_chord(C,A,k6_domain_1(k6_glib_000(A),B)) => v2_chord(C) ) ) ) ) ) )).
fof(d7_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v5_circcmb3(B,A) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_finset_1(C) & ? [D] : ( m1_subset_1(D,k4_ordinal1) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v3_card_1(E,D) & v1_finseq_1(E) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(D,C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(D,C),C))) & A = k5_circcomb(F,E) & B = k7_circcomb(D,C,F,E) ) ) ) ) ) ) ) )).
fof(d7_circcomb,axiom,( ! [A] : ( l1_msualg_1(A) => ( v1_circcomb(A) <=> u2_msualg_1(A) = k6_partfun1(u4_struct_0(A)) ) ) )).
fof(d7_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m4_msaterm(C,A,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) => ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),C,u3_msualg_1(A,B)) => ! [F] : ( F = k7_circtrm1(A,B,C,D,E) <=> ? [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & G = D & F = k9_msaterm(A,B,C,G,E) ) ) ) ) ) ) ) ) )).
fof(d7_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( C = k7_circuit1(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & D = a_2_0_circuit1(A,B) & C = k1_xxreal_2(D) ) ) ) ) ) )).
fof(d7_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_msafree2(D,A,B) => k7_circuit2(A,B,C,D) = k6_circuit2(A,B,k1_circuit2(A,B,C,D)) ) ) ) ) )).
fof(d7_classes1,axiom,( ! [A] : ! [B] : ( B = k5_classes1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & r2_hidden(C,k1_funct_1(D,E)) & k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_ordinal1) = A & ! [F] : ( v7_ordinal1(F) => k1_funct_1(D,k1_ordinal1(F)) = k3_tarski(k1_funct_1(D,F)) ) ) ) ) ) )).
fof(d7_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_clopban1(A,B)))) => ( C = k8_clopban1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_clopban1(D,A,B) & v2_clopban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(d7_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k8_clopban2(A) = g1_cfuncdom(k8_clopban1(A,A),k5_clopban2(A),k6_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),k7_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),k6_clopban2(A),k8_csspace(k6_clopban1(A,A),k8_clopban1(A,A))) ) )).
fof(d7_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k2_clopban3(A,B) <=> ( k1_normsp_0(A,C,k5_numbers) = k5_struct_0(A) & ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,C,k1_nat_1(D,1)) = k6_algstr_0(A,k1_normsp_0(A,C,D),B) ) ) ) ) ) ) )).
fof(d7_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_clopban4(A,B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k6_clopban4(A),B) ) ) )).
fof(d7_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v4_closure2(C,A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => ( r1_tarski(D,C) => r2_tarski(k4_mssubfam(A,B,k5_closure2(A,B,D)),C) ) ) ) ) ) )).
fof(d7_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k3_rlvect_1(A,C,D),B) ) ) ) & ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k1_clvect_1(A,D,C),B) ) ) ) ) ) ) ) )).
fof(d7_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k6_clvect_2(A,B,C) = a_3_2_clvect_2(A,B,C) ) ) ) )).
fof(d7_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => k6_coh_sp(A,B) = k1_xfamily(k1_xfamily(B)) ) )).
fof(d7_cohsp_1,axiom,( ! [A] : ! [B] : ( r1_cohsp_1(A,B) <=> ! [C] : ! [D] : ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( r2_tarski(k3_xboole_0(C,D),A) & r2_tarski(k2_xboole_0(C,D),A) ) ) ) )).
fof(d7_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m2_collsp(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C != D & B = k1_collsp(A,C,D) ) ) ) ) )).
fof(d7_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => k3_combgras(A,B,C,D) = k3_funct_2(u2_incsp_1(A),u2_incsp_1(B),u2_combgras(A,B,C),D) ) ) ) ) )).
fof(d7_compact1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v6_compact1(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k1_pre_topc(B,k2_relset_1(u1_struct_0(B),C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_pre_topc(B,k2_relset_1(u1_struct_0(B),C)))))) & D = C & v3_tops_2(D,A,k1_pre_topc(B,k2_relset_1(u1_struct_0(B),C))) ) ) ) ) ) )).
fof(d7_compl_sp,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v6_compl_sp(B,A) <=> ! [C] : ( v7_ordinal1(C) => v2_compl_sp(k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(d7_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k3_finseq_2(k4_ordinal1)) & v1_funct_1(C) & v4_valued_0(C) & v2_margrel1(C) ) => ( C = k4_comput_1(A,B) <=> ( k1_relset_1(k3_finseq_2(k4_ordinal1),C) = k4_finseq_2(A,k4_ordinal1) & ! [D] : ( m2_finseq_2(D,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => k1_recdef_1(C,D) = k1_nat_1(k7_partfun1(k4_ordinal1,D,B),1) ) ) ) ) ) ) )).
fof(d7_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k11_comseq_3(A) = k3_comseq_2(k10_comseq_3(A)) ) )).
fof(d7_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v7_conaffm(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r2_analoaf(A,C,D,E,F) & r4_analmetr(A,B,C,B,D) & r4_analmetr(A,B,E,B,F) & r5_analmetr(A,B,C,E) & r5_analmetr(A,B,D,F) & r4_analmetr(A,C,G,D,H) & r4_analmetr(A,E,G,F,H) ) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = E | r5_analmetr(A,B,G,C) | r4_analmetr(A,B,G,B,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k7_conlat_2(A) = g1_conlat_1(u4_struct_0(A),u1_struct_0(A),k3_relset_1(u1_struct_0(A),u4_struct_0(A),u1_conlat_1(A))) ) )).
fof(d7_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v7_conmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ( ( r10_analmetr(A,J,K) & r2_hidden(B,J) & r2_hidden(D,J) & r2_hidden(F,J) & r2_hidden(H,J) & r2_hidden(C,K) & r2_hidden(E,K) & r2_hidden(G,K) & r2_hidden(I,K) & r2_analoaf(A,D,C,H,G) & r2_analoaf(A,C,B,G,F) & r2_analoaf(A,B,E,F,I) ) => ( r2_hidden(E,J) | r2_hidden(C,J) | r2_hidden(G,J) | r2_hidden(I,J) | r2_hidden(B,K) | r2_hidden(D,K) | r2_hidden(F,K) | r2_hidden(H,K) | r2_analoaf(A,D,E,H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_connsp_1(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) <=> ( v2_connsp_1(E,A) & r2_tarski(B,E) ) ) ) & k5_setfam_1(u1_struct_0(A),D) = C ) ) ) ) ) )).
fof(d7_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_connsp_2(A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) <=> ( v3_pre_topc(E,A) & v4_pre_topc(E,A) & r2_tarski(B,E) ) ) ) & k6_setfam_1(u1_struct_0(A),D) = C ) ) ) ) ) )).
fof(d7_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k6_connsp_3(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k1_pre_topc(A,B))) => ( E = C => D = k1_connsp_1(k1_pre_topc(A,B),E) ) ) ) ) ) ) ) ) )).
fof(d7_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_convex4(C,A) => ( r1_convex4(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,B,D) = k3_funct_2(u1_struct_0(A),k2_numbers,C,D) ) ) ) ) ) )).
fof(d7_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))))) ) => ( B = k9_cqc_sim1(A) <=> ( r8_binop_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k3_cqc_lang(A),k8_cqc_sim1(A,B,k5_cqc_lang(A)),k8_funcop_1(k3_cqc_lang(A),k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k5_cqc_lang(A))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m2_subset_1(E,k6_qc_lang1(A),k8_qc_lang1(A,C)) => r8_binop_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k3_cqc_lang(A),k8_cqc_sim1(A,B,k4_cqc_lang(C,A,E,D)),k6_cqc_sim1(A,C,E,D)) ) ) ) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r8_binop_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k3_cqc_lang(A),k8_cqc_sim1(A,B,k6_cqc_lang(A,C)),k2_cqc_sim1(A,k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k8_cqc_sim1(A,B,C))) & r8_binop_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k3_cqc_lang(A),k8_cqc_sim1(A,B,k7_cqc_lang(A,C,D)),k3_cqc_sim1(A,k8_cqc_sim1(A,B,C),k8_cqc_sim1(A,B,D),k7_cqc_sim1(A,C))) & r8_binop_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k3_cqc_lang(A),k8_cqc_sim1(A,B,k11_cqc_lang(A,E,C)),k4_cqc_sim1(A,k8_cqc_sim1(A,B,C),E)) ) ) ) ) ) ) ) ) )).
fof(d7_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => k4_cqc_the1(A) = k1_cqc_the1(A,k1_subset_1(k3_cqc_lang(A))) ) )).
fof(d7_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r7_cqc_the3(A,B,C) <=> v2_cqc_the1(k10_cqc_lang(A,B,C),A) ) ) ) ) )).
fof(d7_csspace,axiom,( k5_csspace = k6_cfuncdom(k4_ordinal1) )).
fof(d7_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( r2_hidden(C,k4_csspace4(A,B)) => k6_csspace4(A,B,C) = C ) ) ) )).
fof(d7_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v2_comseq_2(k2_dblseq_1(A)) => ! [B] : ( v1_xreal_0(B) => ( B = k4_dblseq_1(A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers,k2_dblseq_1(A),E),B))) ) ) ) ) ) ) ) ) )).
fof(d7_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_decomp_1(A,B) = k9_subset_1(u1_struct_0(A),B,k1_tops_1(A,k2_pre_topc(A,B))) ) ) )).
fof(d7_dickson,axiom,( ! [A] : ( l1_orders_2(A) => k5_dickson(A) = g1_orders_2(u1_struct_0(A),k4_dickson(u1_struct_0(A),u1_orders_2(A))) ) )).
fof(d7_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) => ( C = k7_diff_1(A,B) <=> ( r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k5_numbers),A) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k1_nat_1(D,1)),k4_diff_1(k1_seqfunc(k1_numbers,k1_numbers,C,D),B)) ) ) ) ) ) ) )).
fof(d7_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_dilworth(A,B) = k4_subset_1(u1_struct_0(A),B,k3_waybel_0(A,B)) ) ) )).
fof(d7_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v2_diraf(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r2_analoaf(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_analoaf(A,B,C,B,F) & r2_analoaf(A,D,E,D,F) ) ) ) ) ) ) ) ) ) )).
fof(d7_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k6_dist_1(A),k3_finseq_2(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k6_dist_1(A),k3_finseq_2(k1_numbers)))) ) => ( B = k7_dist_1(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) => ? [D] : ( m2_finseq_1(D,A) & r2_tarski(D,C) & k3_funct_2(k6_dist_1(A),k3_finseq_2(k1_numbers),B,C) = k4_dist_1(A,D) ) ) ) ) ) )).
fof(d7_dist_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k7_dist_2(A,B) = k5_funct_3(B,A) ) )).
fof(d7_dtconstr,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => k11_dtconstr(A) = k1_nat_1(k1_funct_1(A,1),1) ) )).
fof(d7_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k8_dualsp01(A) = g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A))) ) )).
fof(d7_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ( D = k6_dynkin(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( r2_tarski(E,D) <=> r2_tarski(k9_subset_1(A,E,C),B) ) ) ) ) ) ) )).
fof(d7_e_siec,axiom,( ! [A] : k5_e_siec(A) = g1_e_siec(k1_tarski(A),k1_xboole_0,k1_xboole_0) )).
fof(d7_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(A))) => ( D = k4_ec_pf_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(A))) => ( ( E = k4_nat_d(4,A) & F = k4_nat_d(27,A) ) => D = k3_rlvect_1(k9_int_3(A),k8_group_1(k9_int_3(A),E,k2_binom(k9_int_3(A),B,3)),k8_group_1(k9_int_3(A),F,k2_binom(k9_int_3(A),C,2))) ) ) ) ) ) ) ) ) )).
fof(d7_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m2_subset_1(B,k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k3_ec_pf_1(k9_int_3(A))) => ( ( k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B) != k5_numbers => k7_ec_pf_2(A,B) = k4_domain_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),k4_ordinal1,k8_group_1(k9_int_3(A),k1_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B),k9_algstr_0(k9_int_3(A),k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B))),k8_group_1(k9_int_3(A),k2_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B),k9_algstr_0(k9_int_3(A),k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B))),1) ) & ( k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),B) = k5_numbers => k7_ec_pf_2(A,B) = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k5_numbers,1,k5_numbers) ) ) ) ) )).
fof(d7_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_vectsp_1(B) & l4_algstr_0(B) ) => ( r1_endalg(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d7_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => k7_ens_1(A,B,C) = a_3_0_ens_1(A,B,C) ) ) ) )).
fof(d7_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k4_entropy1(A) = k14_rvsum_1(A,k3_entropy1(2,A)) ) )).
fof(d7_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( J = k7_enumset1(A,B,C,D,E,F,G,H,I) <=> ! [K] : ( r2_hidden(K,J) <=> ~ ( K != A & K != B & K != C & K != D & K != E & K != F & K != G & K != H & K != I ) ) ) )).
fof(d7_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) => ( v1_eqrel_1(B,A) <=> ! [C] : ( r2_tarski(C,B) => m1_eqrel_1(C,A) ) ) ) )).
fof(d7_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k14_euclid(A) = g1_metric_1(k1_euclid(A),k13_euclid(A)) ) )).
fof(d7_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k7_euclid_3(A,B,C,D) = k7_subset_1(u1_struct_0(k15_euclid(A)),k6_euclid_3(A,B,C,D),k5_euclid_3(A,B,C,D)) ) ) ) ) )).
fof(d7_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( v1_xreal_0(D) => k8_euclid_8(A,B,C,D) = k1_euclid_8(k1_fdiff_1(A,D),k1_fdiff_1(B,D),k1_fdiff_1(C,D)) ) ) ) ) )).
fof(d7_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ( r5_euclidlp(A,B,C) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) & ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) & ? [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) & B = k2_euclid_4(A,D,E) & C = k2_euclid_4(A,F,G) & r2_euclidlp(A,k8_euclid(A,E,D),k8_euclid(A,G,F)) ) ) ) ) ) ) ) ) )).
fof(d7_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => k4_exchsort(A) = k1_funct_1(A,k3_tarski(k9_xtuple_0(A))) ) )).
fof(d7_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => ( F = k5_extpro_1(A,B,C,D,E) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_card_3(k2_memstr_0(A,B))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(A,B))))) & F = k8_nat_1(k4_card_3(k2_memstr_0(A,B)),G,E) & k3_funct_2(k4_ordinal1,k4_card_3(k2_memstr_0(A,B)),G,k5_numbers) = D & ! [H] : ( v7_ordinal1(H) => k3_funct_2(k4_ordinal1,k4_card_3(k2_memstr_0(A,B)),G,k1_nat_1(H,1)) = k4_extpro_1(A,B,k8_nat_1(k4_card_3(k2_memstr_0(A,B)),G,H),C) ) ) ) ) ) ) ) ) ) )).
fof(d7_facirc_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k4_facirc_1 <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k1_binarith(k1_binarith(B,C),D) ) ) ) ) ) )).
fof(d7_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r2_fdiff_1(A,B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( C = k2_fdiff_1(A,B) <=> ( k1_relset_1(k1_numbers,C) = B & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k1_fdiff_1(A,D) ) ) ) ) ) ) ) )).
fof(d7_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k7_ff_siec(A) = k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k4_relat_1(u1_struct_0(A))) ) )).
fof(d7_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k4_filter_0(A,B,C) <=> ( r3_lattices(A,k4_lattices(A,B,D),C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_lattices(A,k4_lattices(A,B,E),C) => r3_lattices(A,E,D) ) ) ) ) ) ) ) ) ) )).
fof(d7_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => k7_filter_1(A,B) = g3_lattices(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k6_filter_1(u1_struct_0(A),u1_struct_0(B),u2_lattices(A),u2_lattices(B)),k6_filter_1(u1_struct_0(A),u1_struct_0(B),u1_lattices(A),u1_lattices(B))) ) ) )).
fof(d7_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_filter_2(A,B) = a_2_0_filter_2(A,B) ) ) )).
fof(d7_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k7_fin_topo(A,B) = k9_subset_1(u1_struct_0(A),k3_subset_1(u1_struct_0(A),B),k5_fin_topo(A,B)) ) ) )).
fof(d7_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k7_finseq_1(A,B) <=> ( k4_finseq_1(C) = k2_finseq_1(k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k1_funct_1(C,k2_xcmplx_0(k3_finseq_1(A),D)) = k1_funct_1(B,D) ) ) ) ) ) ) ) )).
fof(d7_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k7_finseq_4(A,B,C,D) = k7_finseq_1(k11_finseq_1(A,B,C),k9_finseq_1(D)) )).
fof(d7_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_finseq_8(A,B,C,D) <=> ~ ( ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(B)) & k3_finseq_6(A,B,E,k1_nat_1(k7_nat_d(E,1),k3_finseq_1(C))) = C ) ) ) ) ) ) ) ) )).
fof(d7_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => k7_fintopo3(A,B,C) = k1_funct_1(k6_fintopo3(A,B),C) ) ) ) )).
fof(d7_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k4_fomodel0(A,B,C) <=> ( k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k1_funct_1(C,1) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,k2_xcmplx_0(E,1)) = k1_binop_1(B,k1_funct_1(D,E),k1_funct_1(C,k2_xcmplx_0(E,2))) ) ) ) ) ) ) ) )).
fof(d7_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k7_fomodel1(A) = u2_struct_0(A) ) )).
fof(d7_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( ( v7_ordinal1(C) & v8_ordinal1(C) ) => k10_fomodel3(A,B,C) = k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)) ) ) ) )).
fof(d7_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ! [D] : ( v4_fomodel4(D,A,B,C) <=> r1_tarski(D,k5_setfam_1(k1_fomodel4(A),k7_relset_1(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k13_lang1(k9_setfam_1(k1_fomodel4(A)),k4_fomodel4(A,B)),k1_tarski(C)))) ) ) ) )).
fof(d7_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( v4_frechet(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_frechet(C,A) & r1_tarski(k2_relset_1(u1_struct_0(A),C),B) ) => r1_tarski(k2_frechet(A,C),B) ) ) ) ) ) ) )).
fof(d7_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k4_finseq_1(A),B),k3_finseq_2(k2_xboole_0(k4_finseq_1(A),B))))) => ( C = k2_freealg(A,B) <=> ! [D] : ( m1_subset_1(D,k2_xboole_0(k4_finseq_1(A),B)) => ! [E] : ( m2_finseq_2(E,k2_xboole_0(k4_finseq_1(A),B),k3_finseq_2(k2_xboole_0(k4_finseq_1(A),B))) => ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_tarski(D,k4_finseq_1(A)) & k1_funct_1(A,D) = k3_finseq_1(E) ) ) ) ) ) ) ) )).
fof(d7_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k7_fscirc_1(A,B,C) = k3_circcomb(k3_fscirc_1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp))),k5_fscirc_1(A,B,C),k7_facirc_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp),k4_facirc_1)) )).
fof(d7_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l3_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_1(E,A) => ! [F] : ( m2_finseq_1(F,B) => ( F = k5_fsm_1(A,B,C,D,E) <=> ( k3_finseq_1(F) = k1_nat_1(k3_finseq_1(E),1) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(F,G) = k1_funct_1(u4_fsm_1(A,B,C),k1_funct_1(k2_fsm_1(A,C,D,E),G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_tarski(C,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C,D),B))) ) => ! [F] : ( ( ~ v2_struct_0(F) & v6_fsm_2(F,A,B) & l2_fsm_2(F,A,B) ) => ( F = k1_fsm_2(A,B,C,D,E) <=> ( u1_struct_0(F) = k2_tarski(C,D) & r1_funct_2(k2_zfmisc_1(u1_struct_0(F),A),u1_struct_0(F),k2_zfmisc_1(k2_tarski(C,D),A),k1_tarski(D),u1_fsm_1(A,F),k7_funcop_1(k2_zfmisc_1(k2_tarski(C,D),A),D)) & r1_funct_2(u1_struct_0(F),B,k2_tarski(C,D),B,u4_fsm_1(A,B,F),E) & u2_fsm_1(A,F) = C & u1_fsm_2(A,F) = k1_tarski(D) ) ) ) ) ) ) )).
fof(d7_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => k5_fsm_3(A,B,C,D) = a_4_2_fsm_3(A,B,C,D) ) ) ) ) )).
fof(d7_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k7_ftacell1(A,B,C,D,E) = k2_circcomb(k25_gfacirc1(A,B,C),k37_gfacirc1(k24_gfacirc1(A,B,C),E,D)) )).
fof(d7_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : k13_funcop_1(A,B,C) = k7_funcop_1(k1_tarski(k4_tarski(A,B)),C) )).
fof(d7_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k11_funcsdom(A) = g6_algstr_0(k9_funct_2(A,k1_numbers),k5_funcsdom(A),k6_funcsdom(A),k9_funcsdom(A),k8_funcsdom(A)) ) )).
fof(d7_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( C = k8_relat_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k9_xtuple_0(A)) & r2_tarski(k1_funct_1(A,D),B) ) ) ) ) )).
fof(d7_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( r1_funct_2(A,B,C,D,E,F) <=> ( A = C & ! [G] : ( m1_subset_1(G,A) => k1_funct_1(E,G) = k1_funct_1(F,G) ) ) ) ) ) ) ) )).
fof(d7_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k13_funct_3(A,B) <=> ( k9_xtuple_0(C) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k4_tarski(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(d7_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k10_funct_4(A,B,C,D,E,F,G,H) = k1_funct_4(k4_funct_4(A,B,E,F),k4_funct_4(C,D,G,H)) )).
fof(d7_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k6_funct_6(A) <=> ( k9_xtuple_0(B) = k4_card_3(k1_funct_6(A)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ~ ( r2_tarski(C,k4_card_3(k1_funct_6(A))) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ~ ( k1_funct_1(B,C) = D & k9_xtuple_0(D) = k9_xtuple_0(A) & ! [E] : ( r2_hidden(E,k9_xtuple_0(D)) => k1_funct_1(D,E) = k1_binop_1(k2_funct_5(A),E,k1_funct_1(C,E)) ) ) ) ) ) ) ) ) ) )).
fof(d7_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_xboole_0(A) => ( B = k6_funct_7(A) <=> v1_xboole_0(B) ) ) & ( ~ v1_xboole_0(A) => ( B = k6_funct_7(A) <=> B = k10_xtuple_0(k1_funct_1(A,k3_finseq_1(A))) ) ) ) ) )).
fof(d7_functor0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( l1_functor0(C,A,B) => ( v5_functor0(C,A,B) <=> v2_funct_2(u1_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) ) ) ) ) )).
fof(d7_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( r2_functor2(A,B,C,D) => ! [E] : ( m1_functor2(E,A,B,C,D) => ( m2_functor2(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k1_altcat_1(A,F,G) != k1_xboole_0 => ! [H] : ( m1_subset_1(H,k1_altcat_1(A,F,G)) => k5_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,C,G),k3_functor0(A,B,D,G),k6_functor0(A,B,C,F,G,H),k2_functor2(A,B,C,D,E,G)) = k5_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,D,F),k3_functor0(A,B,D,G),k2_functor2(A,B,C,D,E,F),k6_functor0(A,B,D,F,G,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,B) & k4_fuznum_1(A,B,C) != k7_funct_4(k1_numbers,k1_numbers,k7_funct_4(k1_numbers,k1_numbers,k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k5_numbers,k5_numbers),k6_subset_1(k1_numbers,k2_rcomp_1(A,C))),k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(A,k6_xcmplx_0(B,A)))),k1_rcomp_1(A,B))),k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k6_xcmplx_0(C,B))),k7_xcmplx_0(C,k6_xcmplx_0(C,B))),k1_rcomp_1(B,C))) ) ) ) ) )).
fof(d7_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k5_fuzzy_1(A) = k7_rfunct_1(A,A) ) )).
fof(d7_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k11_fvsum_1(A,B,C) = k1_finseqop(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A),B,C) ) ) ) )).
fof(d7_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k7_gate_5(A,B,C,D,E) = k35_gate_1(k2_gate_1(B,D),k2_gate_1(A,E),k2_gate_1(C,D),k2_gate_1(B,E),k1_xboole_0) )).
fof(d7_gaussint,axiom,( k6_gaussint = g6_algstr_0(k1_gaussint,k2_gaussint,k3_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint)) )).
fof(d7_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m1_gcd_1(B,A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m2_subset_1(D,u1_struct_0(A),B) & r4_gcd_1(A,D,C) ) ) & ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => ~ ( C != D & r3_gcd_1(A,C,D) ) ) ) ) ) ) ) )).
fof(d7_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_finseq_1(B,k3_card_3(A)) => ! [C] : ( m2_finseq_1(C,k3_card_3(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => k6_genealg1(A,B,C,D,E,F,G,H,I) = k1_genealg1(A,k5_genealg1(A,B,C,D,E,F,G,H),k5_genealg1(A,C,B,D,E,F,G,H),I) ) ) ) ) ) ) ) ) ) )).
fof(d7_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) => ( D = k5_geomtrap(A,B,C) <=> ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & E = k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,H) & F = k1_domain_1(u1_struct_0(A),u1_struct_0(A),I,J) & r2_geomtrap(A,B,C,G,H,I,J) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k7_gfacirc1(A,B,C) = k2_circcomb(k5_gfacirc1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)))) )).
fof(d7_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m2_subset_1(D,u1_struct_0(k5_gfacirc2(A,B,C)),k3_msafree2(k5_gfacirc2(A,B,C))) => ( D = k7_gfacirc2(A,B,C) <=> ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & D = k1_funct_1(E,A) & k1_funct_1(E,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,k1_nat_1(F,1)) = k21_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),k1_funct_1(E,F)) ) ) ) ) ) ) ) )).
fof(d7_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => k7_glib_000(A) = k1_funct_1(A,k2_glib_000) ) )).
fof(d7_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k4_glib_001(A,B) = k1_funct_1(B,k3_finseq_1(B)) ) ) )).
fof(d7_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ( v4_glib_002(B,A) <=> ( v1_glib_002(B) & ! [C] : ( ( v1_glib_002(C) & m1_glib_000(C,A) ) => ~ r7_glib_000(B,C) ) ) ) ) ) )).
fof(d7_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => k5_glib_003(A) = k1_funct_1(A,k2_glib_003) ) )).
fof(d7_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k7_glib_000(A))) => ( C = k6_glib_004(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( r4_glib_000(A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B)),k6_subset_1(k6_glib_000(A),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B))),D) & ! [E] : ( r4_glib_000(A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B)),k6_subset_1(k6_glib_000(A),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B))),E) => r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B),k1_funct_1(k10_glib_000(A),D)),k1_funct_1(k5_glib_003(A),D)),k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B),k1_funct_1(k10_glib_000(A),E)),k1_funct_1(k5_glib_003(A),E))) ) ) ) ) ) ) ) )).
fof(d7_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_glib_005(C,A,B) => ! [D] : ( r4_glib_005(A,B,C,D) <=> ( r2_tarski(D,k7_glib_000(A)) & r2_tarski(k1_funct_1(k11_glib_000(A),D),k1_relset_1(k6_glib_000(A),C)) & ~ r2_tarski(k1_funct_1(k10_glib_000(A),D),k1_relset_1(k6_glib_000(A),C)) & ~ r1_xxreal_0(k1_funct_1(B,D),k5_numbers) ) ) ) ) ) )).
fof(d7_goboard1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v4_goboard1(A) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(k1_matrix_0(A))) => v5_valued_0(k1_goboard1(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) ) )).
fof(d7_goboard5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( C = k5_goboard5(A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(k2_goboard2(A))) & r2_hidden(k4_tarski(F,G),k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,E) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),F,G) & ~ ( D = F & k1_nat_1(E,1) = G & C = k3_goboard5(k2_goboard2(A),k7_nat_d(D,1),E) ) & ~ ( k1_nat_1(D,1) = F & E = G & C = k3_goboard5(k2_goboard2(A),D,E) ) & ~ ( D = k1_nat_1(F,1) & E = G & C = k3_goboard5(k2_goboard2(A),F,k7_nat_d(G,1)) ) & ~ ( D = F & E = k1_nat_1(G,1) & C = k3_goboard5(k2_goboard2(A),D,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_gobrd13,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( v7_ordinal1(D) => ( r2_gobrd13(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(C)) & k7_partfun1(A,B,D) = k3_matrix_0(A,C,E,F) & k7_partfun1(A,B,k1_nat_1(D,1)) = k3_matrix_0(A,C,G,H) & ~ ( E = G & k1_nat_1(F,1) = H & r2_hidden(k4_tarski(k7_nat_d(G,1),H),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,k7_nat_d(G,1),H) ) & ~ ( k1_nat_1(E,1) = G & F = H & r2_hidden(k4_tarski(G,k1_nat_1(H,1)),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,G,k1_nat_1(H,1)) ) & ~ ( E = k1_nat_1(G,1) & F = H & r2_hidden(k4_tarski(G,k7_nat_d(H,1)),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,G,k7_nat_d(H,1)) ) & ~ ( E = G & F = k1_nat_1(H,1) & r2_hidden(k4_tarski(k1_nat_1(G,1),H),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,k1_nat_1(G,1),H) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,k1_nat_1(B,1)) & v1_finseq_1(C) ) => ( m2_goedcpuc(C,A,B) <=> ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k1_nat_1(B,1)) & r1_xxreal_0(1,D) ) => m1_qc_lang1(k1_funct_1(C,D)) ) ) & k1_funct_1(C,1) = A & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(k1_nat_1(B,1),D) & r1_xxreal_0(1,D) & ! [E] : ( m1_qc_lang1(E) => ~ ( k1_funct_1(C,D) = E & k1_funct_1(C,k1_nat_1(D,1)) = k1_goedcpuc(E) ) ) ) ) ) ) ) ) ) )).
fof(d7_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( D = k5_goedelcp(A,B,C) <=> ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( E = k8_nat_1(k3_cqc_lang(A),B,C) => D = k3_goedelcp(A,E) ) ) ) ) ) ) ) )).
fof(d7_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_gr_cy_1(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) = k5_group_4(A,k6_domain_1(u1_struct_0(A),B)) ) ) ) )).
fof(d7_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( v2_graph_1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,u4_struct_0(A)) & r2_tarski(C,u4_struct_0(A)) & k1_funct_1(u1_graph_1(A),B) = k1_funct_1(u1_graph_1(A),C) & k1_funct_1(u2_graph_1(A),B) = k1_funct_1(u2_graph_1(A),C) ) => B = C ) ) ) )).
fof(d7_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_graph_2(A,B) <=> ( r1_xxreal_0(1,k3_finseq_1(B)) & k1_card_1(k5_graph_2(A,k10_xtuple_0(B))) = 2 & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & k1_funct_1(u1_graph_1(A),k1_funct_1(B,C)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,C)) ) ) ) ) ) ) )).
fof(d7_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & v1_graph_1(D) & l1_graph_1(D) ) => ( D = k8_graph_3(A,B,C) <=> ( u1_struct_0(D) = u1_struct_0(A) & u4_struct_0(D) = k2_xboole_0(u4_struct_0(A),k1_tarski(u4_struct_0(A))) & u1_graph_1(D) = k1_funct_4(u1_graph_1(A),k17_funcop_1(u4_struct_0(A),B)) & u2_graph_1(D) = k1_funct_4(u2_graph_1(A),k17_funcop_1(u4_struct_0(A),C)) ) ) ) ) ) ) )).
fof(d7_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ( v1_graph_4(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & r3_graph_4(A,C,B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(E,k3_finseq_1(C)) & k1_funct_1(C,D) = k1_funct_1(C,E) ) => ( r1_xxreal_0(E,D) | ( D = 1 & E = k3_finseq_1(C) ) ) ) ) ) ) ) ) ) )).
fof(d7_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( r4_graph_5(A,B,C,D,E) <=> ( v1_graph_4(B,A) & r2_graph_5(A,C,D,B,E) ) ) ) ) ) ) )).
fof(d7_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( ? [E] : ( r2_tarski(E,u4_struct_0(A)) & r1_graph_4(A,B,C,E) ) => k11_graphsp(A,B,C,D) = k1_funct_1(D,k10_graphsp(A,B,C)) ) & ( ! [E] : ~ ( r2_tarski(E,u4_struct_0(A)) & r1_graph_4(A,B,C,E) ) => k11_graphsp(A,B,C,D) = k4_xcmplx_0(1) ) ) ) ) ) ) )).
fof(d7_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => k6_grcat_1(A,B) = k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)) ) ) )).
fof(d7_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r4_groeb_1(A,B,C,D) <=> ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(E,D) => ( r3_groeb_1(A,B,C,E) & ~ r7_polyred(A,B,C,E,k7_subset_1(u1_struct_0(k12_polynom1(A,C)),D,k1_groeb_1(A,C,E))) ) ) ) ) ) ) ) ) )).
fof(d7_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [F] : ( m2_ideal_1(F,k12_polynom1(A,C),E) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( r3_groeb_2(A,B,C,D,E,F,G) <=> ( k4_rlvect_1(k12_polynom1(A,C),F) = D & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(F)) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(I,A,C) & v3_polynom7(I,A,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(J,A,C) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_tarski(J,E) & k7_partfun1(u1_struct_0(k12_polynom1(A,C)),F,H) = k10_polynom1(A,C,I,J) & r1_termord(A,B,k3_termord(A,B,C,k10_polynom1(A,C,I,J)),G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) => ( B = k4_group_1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k9_nat_1(u1_struct_0(A),B,C,k5_numbers) = k1_group_1(A) & ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),B,C,k1_nat_1(D,1)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),B,C,D),C) ) ) ) ) ) ) )).
fof(d7_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(k2_zfmisc_1(u1_struct_0(A),B),k2_zfmisc_1(u1_struct_0(A),B))) & v1_group_10(C,A,k2_zfmisc_1(u1_struct_0(A),B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(k2_zfmisc_1(u1_struct_0(A),B),k2_zfmisc_1(u1_struct_0(A),B))))) ) => ( C = k7_group_10(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_funct_2(k2_zfmisc_1(u1_struct_0(A),B),k2_zfmisc_1(u1_struct_0(A),B)),C,D) = k6_group_10(A,D,B) ) ) ) ) ) )).
fof(d7_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) ) => ( ( A = k9_xtuple_0(D) & ! [E] : ( r2_hidden(E,A) => ( v1_funct_1(k1_funct_1(D,E)) & v1_funct_2(k1_funct_1(D,E),u1_struct_0(k2_group_19(A,B,E)),u1_struct_0(k2_group_19(A,C,E))) & v1_group_6(k1_funct_1(D,E),k2_group_19(A,B,E),k2_group_19(A,C,E)) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(A,B,E)),u1_struct_0(k2_group_19(A,C,E))))) ) ) ) => k9_group_19(A,B,C,D) = k1_grsolv_1(k2_group_7(A,B),k2_group_7(A,C),k7_group_19(A,B,C,D),k3_group_7(A,B)) ) ) ) ) ) )).
fof(d7_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( B = k6_group_2(A) <=> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) ) ) ) )).
fof(d7_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_group_3(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B = k2_group_3(A,C,D) ) ) ) ) ) )).
fof(d7_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( ? [C] : ( v15_algstr_0(C) & m1_group_2(C,A) & v2_group_4(C,A) ) => ( B = k6_group_4(A) <=> u1_struct_0(B) = k1_setfam_1(a_1_0_group_4(A)) ) ) & ( ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ~ v2_group_4(C,A) ) => ( B = k6_group_4(A) <=> B = g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) ) ) ) ) ) )).
fof(d7_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k7_group_5(A,B,C) = k5_group_4(A,k4_group_5(A,B,C)) ) ) ) )).
fof(d7_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => k7_group_6(A,B) = k6_struct_0(A,B,k1_group_1(B)) ) ) )).
fof(d7_group_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( v3_group_7(B,A) <=> ! [C] : ( m1_subset_1(C,A) => v3_group_1(k1_group_7(A,B,C)) ) ) ) ) )).
fof(d7_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ( m1_group_9(C,A,B) <=> ( m1_group_2(C,B) & ! [D] : ( m1_subset_1(D,A) => k3_group_9(A,C,D) = k2_partfun1(u1_struct_0(B),u1_struct_0(B),k3_group_9(A,B,D),u1_struct_0(C)) ) ) ) ) ) )).
fof(d7_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( l1_vectsp_1(B,A) => k7_hahnban1(A,B) = k8_funcop_1(u1_struct_0(A),k2_struct_0(B),k4_struct_0(A)) ) ) )).
fof(d7_hallmar1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ( k1_funct_1(B,C) = k1_xboole_0 | ! [D] : ( m2_hallmar1(D,A,B) => ( m3_hallmar1(D,A,B,C) <=> k1_card_1(k1_funct_1(D,C)) = 1 ) ) ) ) ) ) )).
fof(d7_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) ) => ( v5_hermitan(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k5_numbers,k3_complex1(k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(k1_complfld),B,C,C))) ) ) ) ) )).
fof(d7_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(A))) => k7_heyting1(A,B,C) = k8_subset_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A),a_3_2_heyting1(A,B,C)) ) ) )).
fof(d7_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))))) ) => ( D = k7_heyting2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k5_substlat(A,B))) => k3_funct_2(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),D,E) = k6_subset_1(C,E) ) ) ) ) ) )).
fof(d7_hilbasis,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k12_polynom1(k1_nat_1(B,1),A)),u1_struct_0(k13_polynom3(k12_polynom1(B,A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(k1_nat_1(B,1),A)),u1_struct_0(k13_polynom3(k12_polynom1(B,A)))))) ) => ( C = k7_hilbasis(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(k1_nat_1(B,1)),u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(B,1)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k12_polynom1(B,A))) & v1_polynom1(F,k12_polynom1(B,A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k12_polynom1(B,A))))) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,B) & v1_funct_1(H) & v1_partfun1(H,B) & v4_valued_0(H) & v2_pre_poly(H) ) => ( ( F = k1_funct_1(C,D) & E = k3_funct_2(k4_ordinal1,u1_struct_0(k12_polynom1(B,A)),F,G) ) => k4_polynom1(B,A,E,H) = k4_polynom1(k1_nat_1(B,1),A,D,k1_hilbasis(B,G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_hilbert1,axiom,( k2_hilbert1 = k12_finseq_1(k4_ordinal1,k5_numbers) )).
fof(d7_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v2_hilbert2(A) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k3_hilbert1(B,C) ) ) ) ) )).
fof(d7_hilbert3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v1_hilbert3(A) <=> ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ? [C] : ! [D] : ( m1_hilbert3(D,B) => r1_abian(C,k5_hilbert3(B,D,A)) ) ) ) ) )).
fof(d7_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k7_hilbert4(A) = a_1_3_hilbert4(A) ) )).
fof(d7_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v2_bintree1(A) ) => ! [B] : ( m1_trees_1(B,k9_xtuple_0(A)) => k7_huffman1(A,B) = k2_xtuple_0(k3_trees_2(k1_huffman1,A,B)) ) ) )).
fof(d7_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_hurwitz(A,B,C) <=> r2_funct_2(k4_ordinal1,u1_struct_0(A),k6_hurwitz(A,B,C),k9_polynom3(A)) ) ) ) ) )).
fof(d7_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( B = k5_numbers => k7_idea_1(A,B) = k5_series_1(2,A) ) & ( B != k5_numbers => k7_idea_1(A,B) = B ) ) ) ) )).
fof(d7_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v3_incproj(A) <=> ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & C != D & D != E & E != C & r1_incsp_1(A,C,B) & r1_incsp_1(A,D,B) & r1_incsp_1(A,E,B) ) ) ) ) ) ) )).
fof(d7_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A))) => ( v4_incsp_1(B,A) <=> ? [C] : ( m1_subset_1(C,u4_incsp_1(A)) & r5_incsp_1(A,B,C) ) ) ) ) )).
fof(d7_index_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_index_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_funcop_1(D) ) => ( m2_index_1(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => m2_cat_1(k1_funct_1(D,E),k2_index_1(A,B,E),k2_index_1(A,C,E)) ) ) ) ) ) ) )).
fof(d7_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( B = k2_int_1(A) <=> ( r1_xxreal_0(A,B) & ~ r1_xxreal_0(k2_xcmplx_0(A,1),B) ) ) ) ) )).
fof(d7_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r3_integr10(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k3_integr10(A,B) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,D) = k2_limfunc1(B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k1_relset_1(k1_numbers,D)) => k1_funct_1(D,E) = k4_integra5(B,E,A) ) ) & v3_limfunc1(D) & C = k4_limfunc1(D) ) ) ) ) ) ) )).
fof(d7_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_euclid(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_euclid(A))))) ) => ( m4_integr15(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k4_ordinal1) => m3_integr15(k8_finseq_2(k1_euclid(A),k3_finseq_2(k1_euclid(A)),E,F),A,B,C,k2_integra2(B,D,F)) ) ) ) ) ) ) ) )).
fof(d7_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( r1_integr16(A,B) <=> ( r1_integra5(A,k5_comseq_3(k1_numbers,B)) & r1_integra5(A,k6_comseq_3(k1_numbers,B)) ) ) ) ) )).
fof(d7_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r1_integr18(A,B,C) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & D = k2_partfun1(k1_numbers,u1_struct_0(A),C,B) & v1_integr18(D,A,B) ) ) ) ) ) )).
fof(d7_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( D = k5_integra1(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => k1_funct_1(D,E) = k3_xcmplx_0(k3_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,C,E)))),k3_integra1(k2_integra1(A,C,E))) ) ) ) ) ) ) ) ) )).
fof(d7_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ( r1_interva1(A,B,C) <=> ( k5_interva1(A,B) = k5_interva1(A,C) & k6_interva1(A,B) = k6_interva1(A,C) ) ) ) ) ) )).
fof(d7_irrat_1,axiom,( k4_power = k23_sin_cos(1) )).
fof(d7_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( r2_nattra_1(A,B,D,E) => ! [F] : ( m2_nattra_1(F,A,B,D,E) => ! [G] : ( m2_cat_1(G,B,C) => k4_isocat_1(A,B,C,D,E,F,G) = k2_isocat_1(A,B,C,D,E,F,G) ) ) ) ) ) ) ) ) )).
fof(d7_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,k6_cat_2(B,C)) => k9_isocat_2(A,B,C,D) = k9_cat_1(A,k6_cat_2(B,C),B,D,k12_cat_2(B,C)) ) ) ) ) )).
fof(d7_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ( B = k7_jgraph_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,C) = k6_jgraph_4(A,C) ) ) ) ) )).
fof(d7_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k7_jgraph_6(A,B,C) = a_3_2_jgraph_6(A,B,C) ) ) ) )).
fof(d7_jordan,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ( m1_subset_1(C,u1_struct_0(k2_brouwer(A,B,D))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),k2_topreal9(A,B,D),k6_domain_1(u1_struct_0(k15_euclid(A)),C)))),u1_struct_0(k7_toprealb(A,B,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),k2_topreal9(A,B,D),k6_domain_1(u1_struct_0(k15_euclid(A)),C)))),u1_struct_0(k7_toprealb(A,B,D))))) ) => ( E = k9_jordan(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k1_pre_topc(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),k2_topreal9(A,B,D),k6_domain_1(u1_struct_0(k15_euclid(A)),C))))) => ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) & F = G & k3_funct_2(u1_struct_0(k1_pre_topc(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),k2_topreal9(A,B,D),k6_domain_1(u1_struct_0(k15_euclid(A)),C)))),u1_struct_0(k7_toprealb(A,B,D)),E,F) = k3_brouwer(A,B,C,G,D) ) ) ) ) ) ) ) ) ) )).
fof(d7_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & ~ r1_xxreal_0(k1_jordan3(A,C),k1_jordan3(A,B)) ) | ( k1_jordan3(A,B) = k1_jordan3(A,C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_jordan3(A,B)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,B),1)),B,C) ) ) => k4_jordan3(A,B,C) = k3_jordan3(k2_jordan3(A,B),C) ) & ~ ( ~ ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & ~ r1_xxreal_0(k1_jordan3(A,C),k1_jordan3(A,B)) ) & ~ ( k1_jordan3(A,B) = k1_jordan3(A,C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_jordan3(A,B)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,B),1)),B,C) ) & k4_jordan3(A,B,C) != k4_finseq_5(u1_struct_0(k15_euclid(2)),k3_jordan3(k2_jordan3(A,C),B)) ) ) ) ) ) )).
fof(d7_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k7_jordan5d(A) <=> ( r2_hidden(k4_tarski(B,k1_matrix_0(k2_goboard2(A))),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,k1_matrix_0(k2_goboard2(A))) = k20_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d7_jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => k7_jordan6(A) = a_1_5_jordan6(A) ) )).
fof(d7_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => ! [C] : ( v1_xreal_0(C) => ( C = k5_jordan_a(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) & ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) & D = a_2_1_jordan_a(A,B) & E = a_2_2_jordan_a(A,B) & C = k3_xxreal_0(k2_xxreal_2(D),k2_xxreal_2(E)) ) ) ) ) ) ) )).
fof(d7_kolmog01,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( m1_kolmog01(D,A,B,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B)))) => ( E = k5_kolmog01(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r2_tarski(F,E) <=> ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(A)) & F = k4_kolmog01(A,B,C,D,k6_subset_1(A,G)) ) ) ) ) ) ) ) ) )).
fof(d7_lang1,axiom,( ! [A] : ! [B] : ( ( v2_lang1(B) & l2_lang1(B) ) => ( B = k6_lang1(A) <=> ( u1_struct_0(B) = k1_tarski(A) & u1_lang1(B) = k1_tarski(k4_tarski(A,k1_xboole_0)) ) ) ) )).
fof(d7_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(C)) => ( E = k8_laplace(A,B,C,D) <=> ( k3_finseq_1(E) = A & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k8_group_1(C,k3_matrix_0(u1_struct_0(C),D,B,F),k6_laplace(B,F,A,C,D)) ) ) ) ) ) ) ) ) ) )).
fof(d7_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => k3_lattad_1(A) = a_1_1_lattad_1(A) ) )).
fof(d7_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lattice3(A))) => k9_lattice3(A,B) = B ) ) )).
fof(d7_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => k1_lattice4(A,B) = k2_lattice2(u1_struct_0(A),A,B,k3_struct_0(A)) ) ) )).
fof(d7_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v3_lattice5(C,A,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => r1_orders_2(B,k3_lattice5(A,B,C,D,F),k13_lattice3(B,k3_lattice5(A,B,C,D,E),k3_lattice5(A,B,C,E,F))) ) ) ) ) ) ) ) )).
fof(d7_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_lattice6(A,B) = k15_lattice3(A,a_2_3_lattice6(A,B)) ) ) )).
fof(d7_lattice7,axiom,( ! [A] : ( l1_orders_2(A) => k4_lattice7(A) = a_1_1_lattice7(A) ) )).
fof(d7_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => ! [F] : ( F = k5_lattice8(A,B,C,D,E) <=> ? [G] : ( v1_relat_1(G) & v5_ordinal1(G) & v1_funct_1(G) & F = k1_ordinal2(G) & k9_xtuple_0(G) = k1_ordinal1(E) & k1_funct_1(G,k5_numbers) = C & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(k1_ordinal1(H),k1_ordinal1(E)) => k1_funct_1(G,k1_ordinal1(H)) = k2_lattice8(k3_lattice8(A,H),B,k10_lattice5(k3_lattice8(A,H),B,k1_funct_1(G,H)),k4_lattice8(A,B,C,D,H)) ) ) & ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(H,k1_ordinal1(E)) & v4_ordinal1(H) ) => ( H = k5_numbers | k1_funct_1(G,H) = k3_tarski(k2_relset_1(k10_xtuple_0(G),k5_relat_1(G,H))) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ( v7_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k2_lattices(A,B,C),D) ) ) ) ) ) )).
fof(d7_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v3_lexbfs(A) <=> ? [B] : ( v7_ordinal1(B) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => k1_funct_1(A,B) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(d7_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v3_lfuzzy_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => r1_orders_2(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,C,D)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,D,E))),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,C,E))) ) ) ) ) ) ) )).
fof(d7_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_limfunc2(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k1_limfunc2(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = B & r1_tarski(k2_relset_1(k1_numbers,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) = C ) ) ) ) ) ) ) ) )).
fof(d7_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => k8_lopban_1(A,B) = g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))) ) ) )).
fof(d7_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k8_lopban_2(A) = g1_funcsdom(k10_lopban_1(A,A),k5_lopban_2(A),k5_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),k6_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),k6_lopban_2(A),k7_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A))) ) )).
fof(d7_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k4_lopban_3(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k6_algstr_0(A,k1_normsp_0(A,B,E),k1_normsp_0(A,C,E)) ) ) ) ) ) ) )).
fof(d7_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_lopban_2(B) & l1_lopban_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( E = k6_lopban_4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,A) => k8_nat_1(u1_struct_0(B),E,F) = k6_algstr_0(B,k1_rlvect_1(B,k6_lopban_3(B,C,F),k8_nat_1(k1_numbers,k3_lopban_4(A),F)),k6_lopban_3(B,D,k7_nat_d(A,F))) ) & ( ~ r1_xxreal_0(F,A) => k8_nat_1(u1_struct_0(B),E,F) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(d7_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => k10_lopclset(A) = k2_relset_1(k9_setfam_1(k7_lopclset(A)),k9_lopclset(A)) ) )).
fof(d7_lpspacc1,axiom,( ! [A] : k11_lpspacc1(A) = k8_funcop_1(k2_numbers,A,k6_complex1) )).
fof(d7_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k7_lpspace1(A) = g1_rlvect_1(k3_rfunct_3(A,k1_numbers),k5_lpspace1(A),k13_rfunct_3(A),k4_lpspace1(A)) ) )).
fof(d7_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => k6_lpspace2(A,B,C,D) = a_4_2_lpspace2(A,B,C,D) ) ) ) ) )).
fof(d7_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => k7_ltlaxio1(A) = k1_ltlaxio1(k6_ltlaxio1(k1_ltlaxio1(A))) ) )).
fof(d7_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => k7_ltlaxio3(A) = a_1_1_ltlaxio3(A) ) )).
fof(d7_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => k6_ltlaxio4(A) = k3_tarski(a_1_3_ltlaxio4(A)) ) )).
fof(d7_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( B = k2_margrel1(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( r1_tarski(C,k3_finseq_2(A)) & ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m2_finseq_1(E,A) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => k3_finseq_1(D) = k3_finseq_1(E) ) ) ) ) ) ) ) )).
fof(d7_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k7_mathmorp(A,B,C,D) = k9_subset_1(u1_struct_0(A),k3_mathmorp(A,B,C),k3_mathmorp(A,k3_subset_1(u1_struct_0(A),B),D)) ) ) ) ) )).
fof(d7_matrix10,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( B = k1_matrix10(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & k1_matrix_0(B) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(A)) => k3_matrix_0(k1_numbers,B,C,D) = k9_complex1(k3_matrix_0(k1_numbers,A,C,D)) ) ) ) ) ) ) ) )).
fof(d7_matrix16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v2_matrix16(B,A) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( C = k1_matrix16(A,B) <=> r1_matrix16(A,C,B) ) ) ) ) ) )).
fof(d7_matrix17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v5_matrix17(B,A) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( C = k1_matrix17(A,B) <=> r1_matrix17(A,C,B) ) ) ) ) ) )).
fof(d7_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,A) => ( D = k5_matrix_0(A,B,C) <=> ( k3_finseq_1(D) = k1_matrix_0(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k1_matrix_0(B))) => k1_funct_1(D,E) = k3_matrix_0(A,B,C,E) ) ) ) ) ) ) ) ) )).
fof(d7_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( E = k10_matrix_3(A,B,C,D) <=> ( k3_finseq_1(E) = A & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(F,k4_finseq_1(E)) & G = k1_funct_1(D,F) ) => k1_funct_1(E,F) = k3_matrix_0(u1_struct_0(B),C,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_matrix_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k2_numbers)) ) => ( C = k7_matrix_5(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => ( D = A => C = k2_matrix_5(k6_matrix_3(k1_complfld,k1_matrix_5(B),D)) ) ) ) ) ) ) )).
fof(d7_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v4_matrix_6(C,A,B) <=> ( v1_matrix_6(C,A,B) & k4_matrix_0(u1_struct_0(B),C) = k1_matrix_6(A,B,C) ) ) ) ) ) )).
fof(d7_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => k1_matrix_8(A,B,C) = k4_rlvect_1(B,k13_matrix_3(A,B,C)) ) ) ) )).
fof(d7_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( v1_xcmplx_0(B) => k7_matrixc1(A,B) = k7_matrix_5(B,A) ) ) )).
fof(d7_matrixr1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( C = k7_matrixr1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k2_vectsp_1)) => ( D = A => C = k2_matrixr1(k6_matrix_3(k2_vectsp_1,k1_matrixr1(B),D)) ) ) ) ) ) ) )).
fof(d7_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( E = k9_matrlin(A,B,C,D) <=> ( k3_finseq_1(E) = k3_finseq_1(C) & ? [F] : ( m1_vectsp_6(F,A,B) & D = k4_vectsp_6(A,B,F) & r1_tarski(k1_vectsp_6(A,B,F),k10_xtuple_0(C)) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(E)) ) => k7_partfun1(u1_struct_0(A),E,G) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,k7_partfun1(u1_struct_0(B),C,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v4_matroid0(A) <=> ( v3_matroid0(A) & ? [B] : ( v7_ordinal1(B) & ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_pre_topc(C,A) => r1_xxreal_0(k4_card_1(C),B) ) ) ) ) ) ) )).
fof(d7_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v3_matrprob(A) <=> k5_matrprob(A) = 1 ) ) )).
fof(d7_mcart_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) => ! [E] : ( m1_subset_1(E,C) => ( E = k3_mcart_1(A,B,C,D) <=> ! [F] : ! [G] : ! [H] : ( D = k3_xtuple_0(F,G,H) => E = H ) ) ) ) ) ) ) )).
fof(d7_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( m2_measure1(D,A,B,C) <=> k12_supinf_2(C,D) = k1_supinf_2 ) ) ) ) )).
fof(d7_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [B] : ( m2_measure7(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( C = k7_measure7(A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => k12_supinf_2(C,D) = k6_measure7(k8_nat_1(k9_setfam_1(k1_numbers),A,D),k4_measure7(A,B,D)) ) ) ) ) ) )).
fof(d7_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k6_numbers)) => ( E = k5_measure8(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k6_numbers) => ( r2_tarski(F,E) <=> ? [G] : ( m3_measure8(G,A,D,B) & F = k17_supinf_2(k2_measure8(A,B,C,G)) ) ) ) ) ) ) ) ) )).
fof(d7_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k10_member_1(A,B) = k8_member_1(A,k4_member_1(B)) ) ) )).
fof(d7_membered,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( r1_tarski(A,B) <=> ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) => r2_hidden(C,B) ) ) ) ) )).
fof(d7_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => k5_memstr_0(A,B,C) = k1_funct_1(C,k4_struct_0(B)) ) ) ) )).
fof(d7_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k7_mesfun7c(A,B) = k6_mesfunc8(A,k1_mesfun7c(A,B)) ) ) )).
fof(d7_mesfun9c,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r2_mesfun9c(A,B,C) <=> ( v1_mesfunc8(B,A,k2_numbers) & k1_relset_1(A,k4_mesfunc5(A,k2_numbers,B,k5_numbers)) = k1_relset_1(A,C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & ? [G] : ( m1_subset_1(G,A) & r1_xxreal_0(E,F) & r2_tarski(G,k1_relset_1(A,k4_mesfunc5(A,k2_numbers,B,k5_numbers))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(k4_mesfunc5(A,k2_numbers,B,F),G),k1_funct_1(C,G)))) ) ) ) ) ) ) ) ) ) )).
fof(d7_mesfunc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k7_mesfunc1(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(B) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k9_xtuple_0(C)) => k12_supinf_2(C,D) = k2_supinf_2(k12_supinf_2(B,D)) ) ) ) ) ) ) ) )).
fof(d7_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_mesfunc5(A,B) = B ) ) )).
fof(d7_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k5_mesfunc8(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k12_supinf_2(C,D) = k6_rinfsup2(k3_mesfunc5(A,B,D)) ) ) ) ) ) ) ) )).
fof(d7_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( F = k6_mesfunc9(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,A) => k3_funct_2(A,C,F,G) = k2_binop_1(A,B,C,D,G,E) ) ) ) ) ) ) ) ) )).
fof(d7_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( v7_metric_1(A) <=> v3_metric_1(u1_metric_1(A),u1_struct_0(A)) ) ) )).
fof(d7_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => k4_metric_2(A,B) = a_2_1_metric_2(A,B) ) ) )).
fof(d7_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D)),k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D))),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D)),k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D))),k1_numbers))) ) => ( E = k7_metric_3(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => ! [L] : ( m1_subset_1(L,u1_struct_0(D)) => ! [M] : ( m1_subset_1(M,u1_struct_0(D)) => ! [N] : ( m1_subset_1(N,k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D))) => ! [O] : ( m1_subset_1(O,k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D))) => ( ( N = k5_domain_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D),F,H,J,L) & O = k5_domain_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D),G,I,K,M) ) => k2_binop_1(k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D)),k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D)),k1_numbers,E,N,O) = k2_xcmplx_0(k2_xcmplx_0(k3_metric_1(A,F,G),k3_metric_1(B,H,I)),k2_xcmplx_0(k3_metric_1(C,J,K),k3_metric_1(D,L,M))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( D = k3_metric_6(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k3_metric_1(A,k8_nat_1(u1_struct_0(A),B,E),k8_nat_1(u1_struct_0(A),C,E)) ) ) ) ) ) ) )).
fof(d7_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( m1_midsp_1(B,A) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & B = k4_midsp_1(A,C) ) ) ) ) )).
fof(d7_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_midsp_1(C) & l1_midsp_3(C,k1_nat_1(A,2)) ) => ( r4_midsp_3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(C),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( k1_funct_1(E,B) = F => k4_midsp_3(A,C,D,k6_midsp_3(A,C,E,k1_nat_1(B,1),F)) = D ) ) ) ) ) ) ) ) )).
fof(d7_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => k7_mmlquery(A,B,C,D) = a_4_2_mmlquery(A,B,C,D) ) ) ) )).
fof(d7_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( l1_mod_2(B,A) => ( v3_mod_2(B,A) <=> ( v13_vectsp_1(k4_mod_2(A,B),k2_mod_2(A,B),k3_mod_2(A,B)) & v1_mod_2(k4_mod_2(A,B),A,k2_mod_2(A,B),k3_mod_2(A,B)) ) ) ) ) )).
fof(d7_modal_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r2_tarski(D,k9_xtuple_0(B)) => k9_modal_1(A,B,C,D) = k7_trees_2(B,D,C) ) ) ) ) ) )).
fof(d7_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( m3_modcat_1(C,A) => ( C = k4_modcat_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v7_vectsp_1(E,A) & m2_modcat_1(E,A,B) & ? [F] : ( v7_vectsp_1(F,A) & m2_modcat_1(F,A,B) & v2_mod_2(D,A) & m1_mod_2(D,A,E,F) ) ) ) ) ) ) ) )).
fof(d7_modelc_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => k7_modelc_1(A) = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,k5_numbers),A) ) )).
fof(d7_modelc_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k7_modelc_2(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,4),A),B) ) ) )).
fof(d7_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => ! [C] : ( l1_modelc_3(C,A) => ( r2_modelc_3(A,B,C) <=> ? [D] : ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) & r2_tarski(D,u2_modelc_3(A,B)) & C = k5_modelc_3(A,B,D) ) ) ) ) ) )).
fof(d7_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k6_moebius1(A) = k8_nat_3(k8_newton,k5_moebius1(A)) ) )).
fof(d7_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v7_monoid_0(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( k4_binop_1(A,B,D,C) = k4_binop_1(A,B,E,C) => D = E ) ) ) ) ) ) ) )).
fof(d7_monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k13_monoid_1(A))) => ( C = k18_monoid_1(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k1_recdef_1(C,D) = k4_card_1(k1_relset_1(k4_ordinal1,k6_relset_1(k4_ordinal1,A,k6_domain_1(A,D),B))) ) ) ) ) ) )).
fof(d7_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))))))) => ( C = k4_msafree(A,B) <=> ! [D] : ( m1_subset_1(D,k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B)))) => ! [E] : ( m2_finseq_2(E,k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))))) => ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_tarski(D,k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( k4_tarski(F,u1_struct_0(A)) = D => ( k3_finseq_1(E) = k3_finseq_1(k1_msualg_1(A,F)) & ! [G] : ( r2_tarski(G,k4_finseq_1(E)) => ( ( r2_tarski(k1_funct_1(E,G),k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))) => ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ( k4_tarski(H,u1_struct_0(A)) = k1_funct_1(E,G) => k2_msualg_1(A,H) = k1_funct_1(k1_msualg_1(A,F),G) ) ) ) & ( r2_tarski(k1_funct_1(E,G),k3_card_3(k3_msafree(u1_struct_0(A),B))) => r2_tarski(k1_funct_1(E,G),k2_msafree(u1_struct_0(A),B,k1_funct_1(k1_msualg_1(A,F),G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k3_msafree2(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k4_msafree2(A,B) <=> k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(d7_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( v6_msafree4(C,A,B) <=> m3_pboole(k13_msafree(A,B),u1_struct_0(A),u3_msualg_1(A,C)) ) ) ) ) )).
fof(d7_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ( m3_msaterm(C,A,B) <=> ? [D] : ( m2_msaterm(D,A,B) & r2_tarski(D,C) ) ) ) ) ) )).
fof(d7_msualg_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( v5_msualg_1(A) <=> ? [B] : ( v7_ordinal1(B) & u4_struct_0(A) = k2_finseq_1(B) ) ) ) )).
fof(d7_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( r1_msualg_2(A,B,C,D) => k3_msualg_2(A,B,C,D) = k5_relat_1(k5_msualg_1(A,C,B),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),D)),C)) ) ) ) ) ) )).
fof(d7_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( k3_msualg_1(A,E,B) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,E,B)) => k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,k2_msualg_1(A,E)),k1_funct_1(k5_msualg_1(A,E,B),F)) = k1_funct_1(k5_msualg_1(A,E,C),k5_msualg_3(A,B,C,E,D,F)) ) ) ) ) ) ) ) ) )).
fof(d7_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) ) => ! [E] : ( m1_subset_1(E,k3_msualg_1(A,B,C)) => ! [F] : ( m1_subset_1(F,k4_card_3(k3_relat_1(k1_msualg_1(A,B),k4_msualg_4(A,C,D)))) => ( F = k6_msualg_4(A,B,C,D,E) <=> ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(k1_msualg_1(A,B))) => k1_funct_1(F,G) = k6_eqrel_1(k1_funct_1(u3_msualg_1(A,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),G)),k1_funct_1(u3_msualg_1(A,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),G)),k2_msualg_4(A,C,D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),G)),k1_funct_1(E,G)) ) ) ) ) ) ) ) ) ) )).
fof(d7_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v2_msualg_6(C,A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( ( r2_tarski(E,k3_msualg_1(A,D,B)) & r2_tarski(F,k3_msualg_1(A,D,B)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(k1_msualg_1(A,D))) => r2_hidden(k4_tarski(k1_funct_1(E,G),k1_funct_1(F,G)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,D),G))) ) ) ) => r2_hidden(k4_tarski(k1_funct_1(k5_msualg_1(A,D,B),E),k1_funct_1(k5_msualg_1(A,D,B),F)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,k2_msualg_1(A,D))) ) ) ) ) ) ) ) ) )).
fof(d7_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ( m1_mycielsk(B,A) <=> u1_struct_0(B) = A ) ) ) )).
fof(d7_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( D = k3_nagata_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,E),k3_funct_2(u1_struct_0(A),k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(d7_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( B != 1 & A != k5_numbers & ~ ! [C] : ( v7_ordinal1(C) => ( C = k10_nat_3(A,B) <=> ( r1_nat_d(k1_newton(B,C),A) & ~ r1_nat_d(k1_newton(B,k2_xcmplx_0(C,1)),A) ) ) ) ) ) ) )).
fof(d7_nat_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( A = k6_nat_5 <=> ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_recdef_1(A,B) = k1_euler_1(B) ) ) ) )).
fof(d7_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r2_nattra_1(A,B,C,D) <=> ( r1_nattra_1(A,B,C,D) & ? [E] : ( m1_nattra_1(E,A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k2_cat_1(A,F,G) != k1_xboole_0 => ! [H] : ( m1_cat_1(H,A,F,G) => k5_cat_1(B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,C,G),k8_cat_1(A,B,D,G),k9_cat_3(A,F,G,B,C,H),k2_nattra_1(A,B,C,D,E,G)) = k5_cat_1(B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,D,F),k8_cat_1(A,B,D,G),k2_nattra_1(A,B,C,D,E,F),k9_cat_3(A,F,G,B,D,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_ncfcont1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),E),k1_relset_1(u1_struct_0(A),C)) & v3_normsp_1(E,A) & k5_normsp_1(A,E) = D ) => ( v9_clvect_1(k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),B) & k7_partfun1(u1_struct_0(B),C,D) = k7_clvect_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C)) ) ) ) ) ) ) ) ) ) )).
fof(d7_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ndiff_1(A,B,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k16_lopban_1(A,B))) => ( E = k3_ndiff_1(A,B,C,D) <=> ? [F] : ( m1_nfcont_1(F,A,D) & r1_tarski(F,k1_relset_1(u1_struct_0(A),C)) & ? [G] : ( v1_funct_1(G) & v2_ndiff_1(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,F) => k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,H),k7_partfun1(u1_struct_0(B),C,D)) = k3_rlvect_1(B,k17_lopban_1(A,B,E,k5_algstr_0(A,H,D)),k7_partfun1(u1_struct_0(B),G,k5_algstr_0(A,H,D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v3_ndiff_3(B,A) <=> r2_ndiff_3(A,B,k1_relset_1(k1_numbers,B)) ) ) ) )).
fof(d7_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_real_ns1(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) ) => ( D = k3_ndiff_4(A,B,C) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) & B = E & C = F & r1_funct_2(u1_struct_0(k4_real_ns1(A)),k1_numbers,k1_euclid(A),k1_numbers,D,k1_pdiff_7(A,E,F)) ) ) ) ) ) ) ) )).
fof(d7_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_prvect_2(A))) => k5_ndiff_5(A,B,C,D,E) = k3_ndiff_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B,k1_partfun1(u1_struct_0(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A)))),u1_struct_0(k14_prvect_2(A)),u1_struct_0(k14_prvect_2(A)),u1_struct_0(B),k4_ndiff_5(A,k10_subset_1(C,k4_finseq_1(A)),E),D),k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A)))),k3_ndiff_5(A,k10_subset_1(C,k4_finseq_1(A))),E)) ) ) ) ) )).
fof(d7_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v7_ordinal1(E) => ( r1_ndiff_6(A,B,C,D,E) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(E,1)) => r2_ndiff_1(D,A,k3_ndiff_6(A,B,F),k4_ndiff_6(A,k3_ndiff_6(A,B,F),k1_funct_1(k5_ndiff_6(A,B,C,D),F))) ) ) ) ) ) ) ) ) ) )).
fof(d7_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => k8_ndiff_7(A,B,C,D,E) = k3_ndiff_1(B,C,k1_partfun1(u1_struct_0(B),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C),k2_ndiff_7(A,B,D),E),k6_ndiff_7(A,B,D)) ) ) ) ) ) )).
fof(d7_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ( B = k2_necklace(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & u1_orders_2(B) = k4_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_orders_2(A),k3_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))) ) ) ) ) )).
fof(d7_net_1,axiom,( ! [A] : ( l1_petri(A) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ! [C] : ( C = k4_net_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k2_net_1(A)) & r2_hidden(k4_tarski(B,D),k1_net_1(A)) ) ) ) ) ) )).
fof(d7_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) => ( B = k9_newton(A) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,B) <=> ( ~ r1_xxreal_0(A,C) & v1_int_2(C) ) ) ) ) ) ) )).
fof(d7_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( r3_nfcont_1(A,B,C,D) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) => r1_nfcont_1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) )).
fof(d7_normform,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B))))) ) => k6_normform(A,B,C,D) = k7_setwiseo(A,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k5_normform(B),C,D) ) ) ) )).
fof(d7_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_normsp_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k5_normsp_1(A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,F),C))) ) ) ) ) ) ) ) ) ) )).
fof(d7_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k4_numpoly1(A,B) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,B),2),k6_xcmplx_0(B,1)),1) ) ) )).
fof(d7_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => k9_openlatt(A) = k10_xtuple_0(k8_openlatt(A)) ) )).
fof(d7_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,B),k3_oppcat_1(A,C)) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,k2_oppcat_1(A),k3_oppcat_1(A,B),k3_oppcat_1(A,C)) => k8_oppcat_1(A,B,C,D) = D ) ) ) ) ) )).
fof(d7_ordeq_01,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A))))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r1_xxreal_0(D,E) & r3_nfcont_1(k4_real_ns1(A),k4_real_ns1(A),C,k1_relset_1(u1_struct_0(k4_real_ns1(A)),C)) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A)))))) ) => ( F = k6_ordeq_01(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A)))) => ? [H] : ( v1_funct_1(H) & v1_nfcont_3(H,k4_real_ns1(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & ? [I] : ( v1_funct_1(I) & v1_nfcont_3(I,k4_real_ns1(A)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & ? [J] : ( v1_funct_1(J) & v1_nfcont_3(J,k4_real_ns1(A)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & G = H & k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A))),F,G) = I & k1_relset_1(k1_numbers,H) = k3_integra5(D,E) & k1_relset_1(k1_numbers,I) = k3_integra5(D,E) & r2_relset_1(k1_numbers,u1_struct_0(k4_real_ns1(A)),J,k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),H,C)) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,k3_integra5(D,E)) => k1_funct_1(I,K) = k3_rlvect_1(k4_real_ns1(A),B,k6_integr18(k4_real_ns1(A),J,D,K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_orders_1(A,B) <=> ( r1_relat_2(A,B) & r8_relat_2(A,B) ) ) ) )).
fof(d7_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_orders_2(B,A) <=> r7_relat_2(u1_orders_2(A),B) ) ) ) )).
fof(d7_orders_3,axiom,( ! [A] : ! [B] : ( B = k2_orders_3(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( l1_struct_0(D) & r2_tarski(D,A) & C = u1_struct_0(D) ) ) ) )).
fof(d7_ordinal1,axiom,( ! [A] : ( v5_ordinal1(A) <=> ( v1_ordinal1(k9_xtuple_0(A)) & v2_ordinal1(k9_xtuple_0(A)) ) ) )).
fof(d7_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => k7_ordinal3(A,B) = k5_ordinal3(A,k11_ordinal2(k6_ordinal3(A,B),B)) ) ) )).
fof(d7_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( B = k3_ordinal5(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k1_xboole_0) = k1_ordinal5(k4_ordinal1,k4_ordinal1) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k1_ordinal5(k1_funct_1(C,D),k4_ordinal1) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k1_xboole_0 | k1_funct_1(C,D) = k8_ordinal2(k5_relat_1(C,D)) ) ) ) ) ) ) ) )).
fof(d7_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => k3_ordinal6(A) = k2_ordinal6(a_1_0_ordinal6(A)) ) )).
fof(d7_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_osafree(A,B,C) = a_3_0_osafree(A,B,C) ) ) ) )).
fof(d7_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( v7_osalg_1(B,A) <=> ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( ( r1_osalg_1(A,B,C) & r2_osalg_1(A,k1_msualg_1(A,B),k1_msualg_1(A,C)) ) => r3_orders_2(A,k2_msualg_1(A,B),k2_msualg_1(A,C)) ) ) ) ) ) )).
fof(d7_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => k5_osalg_2(A,B,C) = a_3_2_osalg_2(A,B,C) ) ) ) )).
fof(d7_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k2_osalg_4(A)) => k4_osalg_4(A,B,C) = k3_tarski(a_3_0_osalg_4(A,B,C)) ) ) ) )).
fof(d7_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k5_parsp_1(A) = k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)) ) )).
fof(d7_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r4_pboole(A,B,C) <=> ! [D] : ~ ( r2_hidden(D,A) & r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) )).
fof(d7_pcomps_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( r1_pcomps_1(A,B) => k4_pcomps_1(A,B) = g1_metric_1(A,B) ) ) )).
fof(d7_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_pcs_0(A,B,C) <=> r2_hidden(k4_tarski(B,C),u1_pcs_0(A)) ) ) ) ) )).
fof(d7_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r1_pdiff_1(A,B,C,D) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & ? [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(A))) & C = E & D = F & r1_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),E,F) ) ) ) ) ) ) ) )).
fof(d7_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r2_pdiff_3(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k3_pdiff_3(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k10_finseq_1(D,E) & ? [F] : ( m1_rcomp_1(F,E) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(G,1) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B),I),k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B),E)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,E)),k1_funct_1(H,k6_xcmplx_0(I,E))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => k4_pdiff_4(A,B) = k7_euclid(3,k7_euclid(3,k9_euclid(3,k2_euclid_8,k10_pdiff_1(3,1,A,B)),k9_euclid(3,k3_euclid_8,k10_pdiff_1(3,2,A,B))),k9_euclid(3,k4_euclid_8,k10_pdiff_1(3,3,A,B))) ) ) )).
fof(d7_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r7_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,C) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,k1_pdiff_3(3,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(3,3,A),B),I),k1_funct_1(k1_pdiff_2(3,1,k1_pdiff_3(3,3,A),B),C)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,C)),k1_funct_1(H,k6_xcmplx_0(I,C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( r4_pdiff_7(A,B,C,D) <=> ( r1_tarski(D,k1_relset_1(k1_euclid(A),C)) & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r2_tarski(E,D) => r3_pdiff_7(A,B,k2_partfun1(k1_euclid(A),k1_euclid(B),C,D),E) ) ) ) ) ) ) ) )).
fof(d7_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(k1_euclid(A),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_euclid(A),k1_numbers)))) ) => ( E = k4_pdiff_9(A,B,C,D) <=> ( r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,E,k5_numbers),k2_partfun1(k1_euclid(A),k1_numbers,D,B)) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,E,k1_nat_1(F,1)),k3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,E,F))) ) ) ) ) ) ) ) )).
fof(d7_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v6_pencil_1(A) <=> ! [B] : ( m1_subset_1(B,u1_pre_topc(A)) => ! [C] : ( m1_subset_1(C,u1_pre_topc(A)) => ( r1_ordinal1(2,k1_card_1(k3_xboole_0(B,C))) => B = C ) ) ) ) ) )).
fof(d7_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k7_pencil_4(A,B,C,D) = g1_pre_topc(k2_vectsp_9(A,B,C),k6_pencil_4(A,B,C,D)) ) ) ) ) )).
fof(d7_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) => k9_petri(A,B) = a_2_5_petri(A,B) ) ) )).
fof(d7_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ( v1_petri_df(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & r2_tarski(k1_domain_1(u4_struct_0(A),u1_struct_0(A),C,B),u2_petri(A)) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( ( r2_tarski(k1_domain_1(u4_struct_0(A),u1_struct_0(A),C,B),u2_petri(A)) & r2_tarski(k1_domain_1(u4_struct_0(A),u1_struct_0(A),D,B),u2_petri(A)) ) => C = D ) ) ) & ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & r2_tarski(k1_domain_1(u1_struct_0(A),u4_struct_0(A),B,C),u1_petri(A)) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( ( r2_tarski(k1_domain_1(u1_struct_0(A),u4_struct_0(A),B,C),u1_petri(A)) & r2_tarski(k1_domain_1(u1_struct_0(A),u4_struct_0(A),B,D),u1_petri(A)) ) => C = D ) ) ) ) ) ) ) )).
fof(d7_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( m1_pnproc_1(C,A) => ( ( r2_pnproc_1(A,k4_pnproc_1(A,C),B) => k6_pnproc_1(A,B,C) = k2_pnproc_1(A,k3_pnproc_1(A,B,k4_pnproc_1(A,C)),k5_pnproc_1(A,C)) ) & ( ~ r2_pnproc_1(A,k4_pnproc_1(A,C),B) => k6_pnproc_1(A,B,C) = B ) ) ) ) )).
fof(d7_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) = k5_numbers => ( E = k7_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & H = k1_polyeq_5(2,k6_xcmplx_0(k1_newton(F,2),G)) & E = k6_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k2_xcmplx_0(F,H)))),k7_xcmplx_0(D,4)) ) ) ) ) ) & ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) != k5_numbers => ( E = k7_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & ? [I] : ( v1_xcmplx_0(I) & ? [J] : ( v1_xcmplx_0(J) & ? [K] : ( v1_xcmplx_0(K) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)),64) & H = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & I = k1_polyeq_5(2,k2_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & J = k1_polyeq_5(2,k3_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & K = k4_xcmplx_0(k7_xcmplx_0(G,k3_xcmplx_0(I,J))) & E = k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(I),J),K),k7_xcmplx_0(D,4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k7_polyform(A,B) <=> ( ( ~ r1_xxreal_0(k4_xcmplx_0(1),B) => C = k2_pre_poly(k1_xboole_0) ) & ( B = k4_xcmplx_0(1) => C = k1_polyform(k1_xboole_0) ) & ~ ( ~ r1_xxreal_0(B,k4_xcmplx_0(1)) & ~ r1_xxreal_0(k4_polyform(A),B) & C != k1_funct_1(u1_polyform(A),k2_xcmplx_0(B,1)) ) & ( B = k4_polyform(A) => C = k9_finseq_1(A) ) & ( ~ r1_xxreal_0(B,k4_polyform(A)) => C = k2_pre_poly(k1_xboole_0) ) ) ) ) ) ) )).
fof(d7_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k7_polynom1(A,B,C,D) = k5_polynom1(A,B,C,k5_vfunct_1(k15_pre_poly(A),B,D)) ) ) ) )).
fof(d7_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => k9_polynom3(A) = k8_funcop_1(u1_struct_0(A),k4_ordinal1,k4_struct_0(A)) ) )).
fof(d7_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_polynom5(A,B,C) <=> k2_polynom4(A,B,C) = k4_struct_0(A) ) ) ) ) )).
fof(d7_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v4_polynom7(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( D != k16_pre_poly(A) => k4_polynom1(A,B,C,D) = k4_struct_0(B) ) ) ) ) ) )).
fof(d7_polynom8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( E = k5_polynom8(A,B,C,D) <=> ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(A,F) => k8_nat_1(u1_struct_0(B),E,F) = k2_polynom4(B,C,k2_binom(B,D,F)) ) ) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(A,F) => k8_nat_1(u1_struct_0(B),E,F) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(d7_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r5_polyred(A,B,C,D,E,F) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & r2_tarski(G,F) & r4_polyred(A,B,C,D,G,E) ) ) ) ) ) ) ) ) )).
fof(d7_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_poset_1(A,B),k4_poset_1(A,B)))) => ( C = k5_poset_1(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_tarski(D,k4_poset_1(A,B)) & r2_tarski(E,k4_poset_1(A,B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & D = F & E = G & r1_yellow_2(u1_struct_0(A),B,F,G) ) ) ) ) ) ) ) ) )).
fof(d7_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_poset_2(A,B,C) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & ! [E] : ( m1_subset_1(E,A) => ( ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,D,E),k5_numbers) => r2_tarski(E,B) ) & ~ ( ~ r2_tarski(E,B) & r1_xxreal_0(k3_funct_2(A,k4_ordinal1,D,E),k3_funct_2(A,k4_ordinal1,D,k3_funct_2(A,A,C,E))) ) ) ) ) ) ) ) ) )).
fof(d7_pralg_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => k7_pralg_2(A,B,C) = k3_tarski(a_3_0_pralg_2(A,B,C)) ) ) ) )).
fof(d7_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k13_pre_poly(A) <=> ! [C] : ( r2_hidden(C,B) <=> k1_funct_1(A,C) != k5_numbers ) ) ) )).
fof(d7_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k2_pre_topc(A,B) <=> ! [D] : ( r2_tarski(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(E,A) & r2_tarski(D,E) & r1_xboole_0(B,E) ) ) ) ) ) ) ) ) )).
fof(d7_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v3_prefer_1(D) & l3_prefer_1(D) ) => ( D = k5_prefer_1(A,B,C) <=> ( u1_struct_0(D) = A & u1_prefer_1(D) = k1_xboole_0 & u1_pcs_0(D) = k7_domain_1(k2_zfmisc_1(A,A),k1_domain_1(A,A,B,B),k1_domain_1(A,A,C,C)) & u1_orders_2(D) = k7_domain_1(k2_zfmisc_1(A,A),k1_domain_1(A,A,B,C),k1_domain_1(A,A,C,B)) ) ) ) ) ) ) )).
fof(d7_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [C] : ( v1_xreal_0(C) => ( C = k6_prepower(A,B) <=> ? [D] : ( v5_relat_1(D,k3_numbers) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v2_comseq_2(D) & k1_seq_2(D) = B & v2_comseq_2(k5_prepower(A,D)) & k1_seq_2(k5_prepower(A,D)) = C ) ) ) ) ) ) )).
fof(d7_prgcor_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_numbers) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [D] : ( v1_int_1(D) => ( r5_prgcor_2(A,B,C,D) <=> ( k1_afinsq_1(C) = D & k1_afinsq_1(A) = D & k1_afinsq_1(B) = D & ? [E] : ( v1_int_1(E) & k1_funct_1(C,k5_numbers) = k1_funct_1(B,k5_numbers) & E = k1_funct_1(B,k5_numbers) & ( E != k5_numbers => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) => k1_funct_1(C,F) = k6_xcmplx_0(k1_funct_1(A,F),k1_funct_1(B,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k4_prob_1(A,B) = A ) )).
fof(d7_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),k4_prob_4(A,B,C)) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( E = k6_prob_4(A,B,C,D) <=> ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,B) & r1_tarski(F,D) & m1_prob_4(k7_subset_1(A,D,F),A,B,C) ) ) ) ) ) ) ) ) )).
fof(d7_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( m2_prvect_1(B,A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( m1_subset_1(C,k9_xtuple_0(A)) => ( v1_funct_1(k1_funct_1(B,C)) & v1_funct_2(k1_funct_1(B,C),k1_funct_1(A,C),k1_funct_1(A,C)) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)))) ) ) ) ) ) ) )).
fof(d7_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k4_prvect_2(A))) => ( B = k8_prvect_2(A) <=> ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(k4_prvect_2(A))) => k8_prvect_1(k4_prvect_2(A),B,C) = u2_struct_0(k5_prvect_2(A,C)) ) ) ) ) )).
fof(d7_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => k7_prvect_3(A,B) = g1_normsp_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k3_prvect_3(A,B),k1_prvect_3(A,B),k2_prvect_3(A,B),k6_prvect_3(A,B)) ) ) )).
fof(d7_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k6_pscomp_1(A) = k1_pscomp_1(k1_pre_topc(k15_euclid(2),A),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A)) ) )).
fof(d7_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( B = k9_pua2mss1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => r2_hidden(k4_tarski(C,D),k8_pua2mss1(A,k6_pua2mss1(A),E)) ) ) ) ) ) ) ) )).
fof(d7_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => k6_qc_lang1(A) = a_1_0_qc_lang1(A) ) )).
fof(d7_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => k7_qc_lang2(A,B,C,D) = k5_qc_lang2(A,B,k5_qc_lang2(A,C,D)) ) ) ) ) )).
fof(d7_qmax_1,axiom,( ! [A] : ( l2_qmax_1(A) => ( r2_qmax_1(A) <=> ( r2_orders_1(u1_orders_2(A),u1_struct_0(A)) & r1_qmax_1(u1_struct_0(A),u1_robbins1(A)) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_hidden(k4_tarski(B,C),u1_orders_2(A)) => r2_hidden(k4_tarski(k1_funct_1(u1_robbins1(A),C),k1_funct_1(u1_robbins1(A),B)),u1_orders_2(A)) ) ) ) ) ) ) )).
fof(d7_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ( B = k7_quaterni(A) <=> k6_quaterni(A,B) = k5_numbers ) ) ) )).
fof(d7_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( D = k9_quofield(A,B,C) <=> ! [E] : ( m2_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ( r2_tarski(E,D) <=> ? [F] : ( m2_subset_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) & ? [G] : ( m2_subset_1(G,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) & r2_tarski(F,B) & r2_tarski(G,C) & k8_group_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E),k8_group_1(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),F),k3_domain_1(u1_struct_0(A),u1_struct_0(A),G))) = k8_group_1(A,k3_domain_1(u1_struct_0(A),u1_struct_0(A),E),k8_group_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),F),k2_domain_1(u1_struct_0(A),u1_struct_0(A),G))) ) ) ) ) ) ) ) ) ) )).
fof(d7_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => k8_radix_1(A,B,C) = k1_gr_cy_1(k7_radix_1(A,B,C)) ) ) ) )).
fof(d7_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(B)) ) => ( ( r1_xxreal_0(2,B) & r2_tarski(A,k2_finseq_1(k2_xcmplx_0(C,1))) ) => k9_radix_3(A,B,C,D) = k8_radix_3(A,B,C,D) ) ) ) ) ) )).
fof(d7_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => ( ( A = B => k7_radix_5(A,B,C) = k6_xcmplx_0(k1_radix_1(C),1) ) & ( A != B => k7_radix_5(A,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d7_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ( r1_radix_6(A,B,C) <=> ( ~ r1_xxreal_0(k1_newton(k1_radix_1(B),A),C) & r1_xxreal_0(k11_newton(k1_radix_1(B),k7_nat_d(A,1)),C) ) ) ) ) ) )).
fof(d7_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( m2_prob_1(E,A,C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k2_random_3(A,B,C,D,E,F) = k3_prob_4(B,D,k1_random_3(A,B,C,D,k2_prob_4(A,C,E),F)) ) ) ) ) ) ) )).
fof(d7_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k10_ranknull(A,B,C,D) = k1_vectsp_9(A,k3_ranknull(A,B,C,D)) ) ) ) ) )).
fof(d7_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k3_rcomp_1(A,B) = a_2_2_rcomp_1(A,B) ) ) )).
fof(d7_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => k7_real_3(A) = k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k5_real_3(A),k6_real_3(A)) ) )).
fof(d7_realset1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m3_realset1(C,A,B) => k4_realset1(A,B,C) = k1_realset1(C,k6_subset_1(A,k6_domain_1(A,B))) ) ) ) )).
fof(d7_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( B = k2_relat_1(A) <=> ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> r2_hidden(k4_tarski(D,C),A) ) ) ) ) )).
fof(d7_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r7_relat_2(A,B) <=> ! [C] : ! [D] : ~ ( r2_hidden(C,B) & r2_hidden(D,B) & ~ r2_hidden(k4_tarski(C,D),A) & ~ r2_hidden(k4_tarski(D,C),A) ) ) ) )).
fof(d7_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r5_rewrite1(A,B,C) <=> ? [D] : ( r1_rewrite1(A,B,D) & r1_rewrite1(A,C,D) ) ) ) )).
fof(d7_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( r3_rewrite2(A,B,C,D) <=> r1_rewrite1(k7_rewrite2(A,B),C,D) ) ) ) ) )).
fof(d7_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ! [D] : ! [E] : ! [F] : ( r4_rewrite3(A,B,C,D,E,F) <=> r3_rewrite3(A,B,C,D,E,F,k2_flang_1(A)) ) ) ) ) )).
fof(d7_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k3_rfunct_3(A,k1_numbers)) => ( D = k16_rfunct_3(A,B,C) <=> ( k3_finseq_1(D) = k4_nat_1(k3_finseq_1(C),k3_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [G] : ( v1_xreal_0(G) => ( ( G = k1_funct_1(C,E) & F = k1_funct_1(B,E) ) => k1_funct_1(D,E) = k26_valued_1(A,k1_numbers,F,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r7_rfunct_4(A,B) <=> ( r2_hidden(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,k9_xtuple_0(A)) & ~ r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(E,B))) & r1_xxreal_0(C,k6_xcmplx_0(k1_funct_1(A,E),k1_funct_1(A,B))) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k6_rinfsup1(A) = k1_rinfsup1(k3_rinfsup1(A)) ) )).
fof(d7_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( B = k4_rinfsup2(A) <=> ! [C] : ( v7_ordinal1(C) => ? [D] : ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k6_numbers)) & D = a_2_0_rinfsup2(A,C) & k12_supinf_2(B,C) = k8_supinf_2(D) ) ) ) ) ) )).
fof(d7_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ( r1_ringcat1(A,B) <=> ? [C] : ( v3_ringcat1(C) & l1_ringcat1(C) & k1_ringcat1(C) = A & k2_ringcat1(C) = B ) ) ) ) )).
fof(d7_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlaffin1(B,A) => ! [C] : ( r2_hidden(C,k4_rlaffin1(A,B)) => ! [D] : ( m2_rlvect_2(D,A,B) => ( D = k5_rlaffin1(A,B,C) <=> ( k6_rlvect_2(A,D) = C & k3_rlaffin1(A,D) = 1 ) ) ) ) ) ) ) )).
fof(d7_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)))) ) => ( B = k5_rlsub_2(A) <=> ! [C] : ( m1_subset_1(C,k3_rlsub_2(A)) => ! [D] : ( m1_subset_1(D,k3_rlsub_2(A)) => ! [E] : ( m1_rlsub_1(E,A) => ! [F] : ( m1_rlsub_1(F,A) => ( ( C = E & D = F ) => k4_binop_1(k3_rlsub_2(A),B,C,D) = k1_rlsub_2(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d7_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v4_rltopsp1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_rltopsp1(C,A) ) ) ) ) ) )).
fof(d7_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ( v7_rlvect_1(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_rlvect_1(A,D,k3_xcmplx_0(B,C)) = k1_rlvect_1(A,k1_rlvect_1(A,D,C),B) ) ) ) ) ) )).
fof(d7_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k5_rlvect_2(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,D)) => k1_funct_1(D,E) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),B,E),k3_funct_2(u1_struct_0(A),k1_numbers,C,k7_partfun1(u1_struct_0(A),B,E))) ) ) ) ) ) ) ) ) )).
fof(d7_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)))) ) => ( C = k6_rmod_3(A,B) <=> ! [D] : ( m1_subset_1(D,k3_rmod_3(A,B)) => ! [E] : ( m1_subset_1(E,k3_rmod_3(A,B)) => ! [F] : ( m1_rmod_2(F,A,B) => ! [G] : ( m1_rmod_2(G,A,B) => ( ( D = F & E = G ) => k4_binop_1(k3_rmod_3(A,B),C,D,E) = k2_rmod_3(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d7_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( D = k5_rmod_4(A,B,C) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & v2_funct_1(E) & k10_xtuple_0(E) = k2_rmod_4(A,B,C) & D = k4_rlvect_1(B,k4_rmod_4(A,B,E,C)) ) ) ) ) ) ) )).
fof(d7_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ( v7_robbins1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_lattices(A,B,B) = B ) ) ) )).
fof(d7_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ( v9_robbins3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,B,k3_robbins1(A,B)) = k1_lattices(A,C,k3_robbins1(A,C)) ) ) ) ) )).
fof(d7_roughs_2,axiom,( ! [A] : ( l1_orders_2(A) => ( v4_roughs_2(A) <=> r2_roughs_2(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(d7_rsspace,axiom,( k4_rsspace = k10_funcsdom(k4_ordinal1) )).
fof(d7_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( r2_hidden(C,k4_rsspace4(A,B)) => k6_rsspace4(A,B,C) = C ) ) ) )).
fof(d7_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)))) ) => ( B = k5_rusub_2(A) <=> ! [C] : ( m1_subset_1(C,k3_rusub_2(A)) => ! [D] : ( m1_subset_1(D,k3_rusub_2(A)) => ! [E] : ( m1_rusub_1(E,A) => ! [F] : ( m1_rusub_1(F,A) => ( ( C = E & D = F ) => k4_binop_1(k3_rusub_2(A),B,C,D) = k1_rusub_2(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d7_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_rusub_4(B,A) <=> ( r2_tarski(k4_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( r2_tarski(k1_algstr_0(A,C,D),B) & r2_tarski(k1_rlvect_1(A,C,E),B) ) ) ) ) ) ) ) ) ) )).
fof(d7_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( v1_xreal_0(B) => k10_rvsum_1(A,B) = k3_relat_1(A,k3_rvsum_1(B)) ) ) )).
fof(d7_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k5_rvsum_3(A) = a_1_1_rvsum_3(A) ) )).
fof(d7_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => k9_scm_comp(A,B) = k6_trees_4(k4_tarski(k5_numbers,4),A,B) ) ) )).
fof(d7_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(9)) & A = k3_xtuple_0(D,k9_finseq_1(B),k12_finseq_1(k2_scm_inst,C)) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k8_scm_inst(A) <=> ? [C] : ( m1_subset_1(C,k2_scm_inst) & k12_finseq_1(k2_scm_inst,C) = k2_xtuple_0(A) & B = k7_partfun1(k2_scm_inst,k12_finseq_1(k2_scm_inst,C),1) ) ) ) ) ) )).
fof(d7_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( m2_subset_1(B,k1_scmfsa_1,k2_scmfsa_1) => ! [C] : ( v1_int_1(C) => k7_scmfsa_1(A,B,C) = k1_funct_4(A,k17_funcop_1(B,C)) ) ) ) )).
fof(d7_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => k5_scmfsa_2(A) = k4_xcmplx_0(k1_nat_1(A,1)) ) )).
fof(d7_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k1_scmfsa_i) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(13)) & A = k3_xtuple_0(D,k1_xboole_0,k10_finseq_1(B,C)) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k7_scmfsa_i(A) <=> ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,k1_scmfsa_i) & k10_finseq_1(C,D) = k2_xtuple_0(A) & B = C ) ) ) ) ) ) )).
fof(d7_scmfsa_m,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(k5_card_1(3),k1_scmfsa_2),k11_memstr_0(k5_card_1(3),k1_scmfsa_2)))) ) => ( A = k10_scmfsa_m <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(C) ) => ( r2_hidden(k4_tarski(B,C),A) <=> ? [D] : ( m2_finseq_1(D,k4_numbers) & ? [E] : ( m2_finseq_1(E,k1_numbers) & r2_classes1(D,E) & m2_finseq_1(E,k4_numbers) & v8_valued_0(E) & B = k17_funcop_1(k5_scmfsa_2(k5_numbers),D) & C = k17_funcop_1(k5_scmfsa_2(k5_numbers),E) ) ) ) ) ) ) ) )).
fof(d7_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => k6_scmpds_2(A,B) = k3_xtuple_0(3,k1_xboole_0,k10_finseq_1(A,B)) ) ) )).
fof(d7_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v2_scmpds_4(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_tarski(k10_compos_1(k1_scmpds_2,A),C) => r1_extpro_1(k5_card_1(2),k1_scmpds_2,C,B) ) ) ) ) ) )).
fof(d7_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k5_scmpds_6(A,B,C) = k2_scmpds_4(k7_scmpds_2(A,B,k1_nat_1(k4_card_1(C),1)),C) ) ) ) )).
fof(d7_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(E,k1_xboole_0,k11_finseq_1(B,C,D)) ) ) ) ) => ! [B] : ( v1_int_1(B) => ( B = k8_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,2) ) ) ) ) ) )).
fof(d7_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_scmring2(A,B,C) = k3_xtuple_0(5,k1_xboole_0,k10_finseq_1(B,C)) ) ) ) )).
fof(d7_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(8)) & B = k3_xtuple_0(E,k1_xboole_0,k7_scmringi(A,C,D)) ) ) ) => ! [C] : ( m1_subset_1(C,k2_scm_inst) => ( C = k8_scmringi(A,B) <=> ? [D] : ( m2_finseq_1(D,k2_xboole_0(k2_scm_inst,u1_struct_0(A))) & D = k2_xtuple_0(B) & C = k7_partfun1(k2_xboole_0(k2_scm_inst,u1_struct_0(A)),D,1) ) ) ) ) ) ) )).
fof(d7_scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => k3_scmyciel(A) = k4_card_1(k1_scmyciel(A)) ) )).
fof(d7_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_semi_af1(A,B,C,D) = k1_semi_af1(A,B,k2_semi_af1(A,C,D),D) ) ) ) ) )).
fof(d7_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) => ! [B] : ( v1_xreal_0(B) => ( B = k1_seq_2(A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),B))) ) ) ) ) ) ) ) ) )).
fof(d7_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => k8_seq_4(A,B) = k1_finseqop(k2_numbers,k2_numbers,k2_numbers,k4_binop_2,A,B) ) ) )).
fof(d7_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( D = k8_seqfunc(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k1_numbers,k1_seqfunc(A,k1_numbers,D,E),k20_valued_1(A,k1_numbers,k1_numbers,k1_seqfunc(A,k1_numbers,B,E),k1_seqfunc(A,k1_numbers,C,E))) ) ) ) ) ) ) )).
fof(d7_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v6_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) )).
fof(d7_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = k7_setfam_1(A,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r2_tarski(D,C) <=> r2_tarski(k3_subset_1(A,D),B) ) ) ) ) ) )).
fof(d7_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k7_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k7_subset_1(A,C,k8_nat_1(k9_setfam_1(A),B,E)) ) ) ) ) ) )).
fof(d7_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( B = k7_sf_mastr(A) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_scmfsa_2)) & C = k4_subset_1(k2_scmfsa_2,k3_sf_mastr(A),k4_scmfsa_m(k4_scmfsa_2(k5_numbers))) & B = k2_scmfsa_m(C) ) ) ) ) )).
fof(d7_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v4_sheffer1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_sheffer1(A,C,B) ) ) ) ) )).
fof(d7_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ( v1_simplex1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(C,B) => v1_rlaffin1(k1_simplex1(A,B,C),A) ) ) ) ) ) )).
fof(d7_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( B = k6_sin_cos(A) <=> ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,A) => k8_nat_1(k2_numbers,B,C) = k7_xcmplx_0(k6_complex1,k3_xcmplx_0(k2_newton(C),k2_newton(k7_nat_d(A,C)))) ) & ( ~ r1_xxreal_0(C,A) => k8_nat_1(k2_numbers,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(d7_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => k7_sin_cos7(A) = k4_xcmplx_0(k3_power(k4_power,k7_xcmplx_0(k2_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(A)))),A))) ) )).
fof(d7_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => k7_sincos10(A) = k1_funct_1(k3_sincos10,A) ) )).
fof(d7_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_stacks_1(B) & l1_stacks_1(B) ) => ( B = k8_stacks_1(A) <=> ( u1_struct_0(B) = A & u4_struct_0(B) = k3_finseq_2(A) & ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ( ( r1_stacks_1(B,C) => v1_xboole_0(C) ) & ( v1_xboole_0(C) => r1_stacks_1(B,C) ) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( D = C => ( ( ~ r1_stacks_1(B,C) => ( k6_stacks_1(B,C) = k1_funct_1(D,1) & k5_stacks_1(B,C) = k2_finseq_3(1,D) ) ) & ( r1_stacks_1(B,C) => ( k6_stacks_1(B,C) = o_1_0_stacks_1(B) & k5_stacks_1(B,C) = k1_xboole_0 ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k7_stacks_1(B,C,E) = k7_finseq_1(k12_finseq_1(u1_struct_0(B),E),D) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_struct_0,axiom,( ! [A] : ( l3_struct_0(A) => k5_struct_0(A) = u3_struct_0(A) ) )).
fof(d7_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v7_substut1(B,A) & C = k39_substut1(A,k10_sublemma(A,B)) ) => k11_sublemma(A,B,C) = k36_substut1(A,B,C) ) ) ) ) )).
fof(d7_subset_1,axiom,( ! [A] : ( v1_zfmisc_1(A) <=> ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => B = C ) ) ) )).
fof(d7_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_qc_lang1(A)) => k8_substut1(A,B) = a_2_0_substut1(A,B) ) ) )).
fof(d7_t_0topsp,axiom,( ! [A] : ( l1_pre_topc(A) => ( v6_pre_topc(A) <=> ( v2_struct_0(A) | ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & ( ( r2_tarski(B,D) & ~ r2_tarski(C,D) ) | ( r2_tarski(C,D) & ~ r2_tarski(B,D) ) ) ) ) ) ) ) ) ) ) )).
fof(d7_taxonom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( C = k3_taxonom1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_hidden(k4_tarski(D,E),C) <=> r1_taxonom1(A,B,D,E) ) ) ) ) ) ) ) )).
fof(d7_taylor_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( E = k6_taylor_1(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => k8_nat_1(k1_numbers,E,F) = k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),F),C),k1_newton(k6_xcmplx_0(D,C),F)),k2_newton(F)) ) ) ) ) ) ) ) )).
fof(d7_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tbsp_1(B,A) <=> ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,B) ) => r1_xxreal_0(k1_metric_1(A,D,E),C) ) ) ) ) ) ) ) )).
fof(d7_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)))) ) => ( B = k7_tdlat_1(A) <=> ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k5_tdlat_1(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k5_tdlat_1(A)) => k4_binop_1(k5_tdlat_1(A),B,C,D) = k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),C,D))) ) ) ) ) ) )).
fof(d7_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k4_termord(A,B,C,D) = k4_polynom1(A,C,D,k3_termord(A,B,C,D)) ) ) ) ) )).
fof(d7_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_tmap_1(A,B) = a_2_0_tmap_1(A,B) ) ) )).
fof(d7_topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(k17_borsuk_1,k17_borsuk_1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k17_borsuk_1,k17_borsuk_1)),u1_struct_0(k15_euclid(A))))) ) => ( D = k7_topalg_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k17_borsuk_1)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k17_borsuk_1)) => k1_binop_1(D,E,F) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A)),B,E),k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(A),k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A)),C,E),F)) ) ) ) ) ) ) ) )).
fof(d7_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => ( v6_topalg_6(B,A) <=> v2_xxreal_2(k9_xtuple_0(B)) ) ) ) )).
fof(d7_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ( D = k11_topalg_7(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(k5_topmetr)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => k1_topalg_7(k5_topmetr,k5_topmetr,u1_struct_0(A),D,E,F) = k6_algstr_0(A,k1_topalg_7(k5_topmetr,k5_topmetr,u1_struct_0(A),B,E,F),k1_topalg_7(k5_topmetr,k5_topmetr,u1_struct_0(A),C,E,F)) ) ) ) ) ) ) ) )).
fof(d7_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k4_topdim_1(A) = k2_topdim_1(A,k2_struct_0(A)) ) )).
fof(d7_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_topgen_1(B,A) <=> r1_tarski(B,k2_topgen_1(A,B)) ) ) ) )).
fof(d7_topgen_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = k6_topgen_3(A,B) <=> ( u1_struct_0(C) = A & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => k2_pre_topc(C,D) = k15_funcop_1(D,k11_arytm_3,D,k2_xboole_0(D,k3_xboole_0(k1_tarski(B),A))) ) ) ) ) )).
fof(d7_topgen_4,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_topgen_4(B,A) <=> ? [C] : ( v4_card_3(C) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & B = k6_setfam_1(u1_struct_0(A),C) ) ) ) ) )).
fof(d7_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l1_topgrp_1(A) ) => ( v3_topgrp_1(A) <=> v5_pre_topc(k3_group_1(A),A,A) ) ) )).
fof(d7_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k4_topmetr(A,B) = k3_pcomps_1(k2_topmetr(A,B)) ) ) )).
fof(d7_topreal1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v3_topreal1(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k1_nat_1(B,1)) => r1_xboole_0(k2_topreal1(2,A,B),k2_topreal1(2,A,C)) ) ) ) ) ) )).
fof(d7_toprealb,axiom,( ! [A] : ( v7_ordinal1(A) => k8_toprealb(A) = k7_toprealb(A,k4_struct_0(k15_euclid(A)),1) ) )).
fof(d7_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_tops_1(B,A) <=> B = k2_pre_topc(A,k1_tops_1(A,B)) ) ) ) )).
fof(d7_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v3_transgeo(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_analoaf(A,C,D,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) ) ) )).
fof(d7_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_2(B,A) => ( v2_trees_2(B,A) <=> ( ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) => r1_tarski(k1_trees_1(C),B) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ~ ( r2_tarski(C,A) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r2_tarski(D,B) => r2_xboole_0(D,C) ) ) ) ) ) ) ) ) )).
fof(d7_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_trees_3(B,A) => ( B = k4_trees_3(A) <=> ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) => r2_tarski(C,B) ) ) ) ) )).
fof(d7_trees_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) => ( D = k9_trees_4(A,B,C) <=> ( ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( r2_tarski(E,k9_xtuple_0(D)) <=> ~ ( ~ r2_tarski(E,k9_xtuple_0(A)) & ! [F] : ( m1_trees_1(F,k9_xtuple_0(A)) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(B)) => ~ ( r2_tarski(F,k3_trees_1(k9_xtuple_0(A))) & k1_funct_1(A,F) = C & E = k8_finseq_1(k4_ordinal1,F,G) ) ) ) ) ) ) & ! [E] : ( m1_trees_1(E,k9_xtuple_0(A)) => ( ~ ( r2_tarski(E,k3_trees_1(k9_xtuple_0(A))) & k1_funct_1(A,E) = C ) => k1_funct_1(D,E) = k1_funct_1(A,E) ) ) & ! [E] : ( m1_trees_1(E,k9_xtuple_0(A)) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(B)) => ( ( r2_tarski(E,k3_trees_1(k9_xtuple_0(A))) & k1_funct_1(A,E) = C ) => k1_funct_1(D,k8_finseq_1(k4_ordinal1,E,F)) = k1_funct_1(B,F) ) ) ) ) ) ) ) ) )).
fof(d7_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => k3_trees_9(A) = a_1_0_trees_9(A) ) )).
fof(d7_tsep_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_pre_topc(C,A) => ( r4_tsep_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = u1_struct_0(B) & E = u1_struct_0(C) ) => r2_tsep_1(A,D,E) ) ) ) ) ) ) ) )).
fof(d7_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))))) ) => ( C = k9_turing_1(A,B) <=> ( k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),C,k5_numbers) = B & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),C,k1_nat_1(D,1)) = k8_turing_1(A,k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),C,D)) ) ) ) ) ) ) )).
fof(d7_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k8_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k2_binarith(k8_margrel1(B),C) ) ) ) ) )).
fof(d7_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_unialg_2(B,A) <=> ( m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = u1_struct_0(B) => ( u1_unialg_1(B) = k3_unialg_2(A,C) & v1_unialg_2(C,A) ) ) ) ) ) ) ) )).
fof(d7_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_polynom5(A,C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ~ r1_xxreal_0(k1_algseq_1(A,C),k5_numbers) => ( D = k5_uproots(A,B,C) <=> ( k1_nat_1(k1_algseq_1(A,D),1) = k1_algseq_1(A,C) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(u1_struct_0(A),D,E) = k2_polynom4(A,k4_uproots(A,C,k1_nat_1(E,1)),B) ) ) ) ) & ( r1_xxreal_0(k1_algseq_1(A,C),k5_numbers) => ( D = k5_uproots(A,B,C) <=> r2_funct_2(k4_ordinal1,u1_struct_0(A),D,k9_polynom3(A)) ) ) ) ) ) ) ) ) )).
fof(d7_urysohn1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v7_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v3_pre_topc(E,A) & r2_tarski(B,D) & ~ r2_tarski(C,D) & r2_tarski(C,E) & ~ r2_tarski(B,E) ) ) ) ) ) ) ) ) )).
fof(d7_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_valuat_1(D,A,B) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,C,D,E) <=> k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,D,C),E) = k7_margrel1 ) ) ) ) ) ) )).
fof(d7_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( B = k35_valued_1(A) <=> ( k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k5_xcmplx_0(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(d7_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_vectmetr(A,B) = k1_metric_1(A,k4_struct_0(A),B) ) ) )).
fof(d7_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v5_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,B,k1_algstr_0(A,C,D)) = k1_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) & k6_algstr_0(A,k1_algstr_0(A,C,D),B) = k1_algstr_0(A,k6_algstr_0(A,C,B),k6_algstr_0(A,D,B)) ) ) ) ) ) ) )).
fof(d7_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => k5_vectsp_2(A,B) = g2_vectsp_2(A,B,k1_tarski(k5_ordinal1),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_ordinal1)),k9_funct_3(k1_tarski(k5_ordinal1),u1_struct_0(B))) ) ) )).
fof(d7_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)))) ) => ( C = k5_vectsp_5(A,B) <=> ! [D] : ( m1_subset_1(D,k3_vectsp_5(A,B)) => ! [E] : ( m1_subset_1(E,k3_vectsp_5(A,B)) => ! [F] : ( m1_vectsp_4(F,A,B) => ! [G] : ( m1_vectsp_4(G,A,B) => ( ( D = F & E = G ) => k4_binop_1(k3_vectsp_5(A,B),C,D,E) = k1_vectsp_5(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d7_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_vectsp_6(D,A,B) => ( r1_vectsp_6(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) ) ) ) ) ) ) )).
fof(d7_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_vectsp_8(A,B)),u1_struct_0(k1_vectsp_8(A,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_vectsp_8(A,B)),u1_struct_0(k1_vectsp_8(A,C))))) ) => ( E = k6_vectsp_8(A,B,C,D) <=> ! [F] : ( ( v7_vectsp_1(F,A) & m1_vectsp_4(F,A,B) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) => ( G = k7_relset_1(u1_struct_0(B),u1_struct_0(C),D,u1_struct_0(F)) => k1_funct_1(E,F) = k1_vectsp_7(A,C,G) ) ) ) ) ) ) ) ) ) )).
fof(d7_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => k7_vsdiff_1(A,B,C,D,E,F) = k2_vfunct_1(u1_struct_0(C),E,k3_vsdiff_1(A,B,C,E,F,k3_vectsp_1(A,C,k9_algstr_0(A,k5_binom(A,k5_struct_0(A),2)),D)),k3_vsdiff_1(A,B,C,E,F,k4_algstr_0(C,k3_vectsp_1(A,C,k9_algstr_0(A,k5_binom(A,k5_struct_0(A),2)),D)))) ) ) ) ) ) ) )).
fof(d7_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v4_yellow_0(B,k4_waybel10(A)) & m1_yellow_0(B,k4_waybel10(A)) ) => ( B = k8_waybel10(A) <=> ! [C] : ( ( v1_orders_2(C) & v4_yellow_0(C,A) & v7_yellow_0(C,A) & m1_yellow_0(C,A) ) => ( m1_subset_1(C,u1_struct_0(B)) <=> v4_waybel_0(C,A) ) ) ) ) ) )).
fof(d7_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_waybel11(A,B,C) <=> r3_orders_2(A,C,k1_waybel11(A,B)) ) ) ) ) )).
fof(d7_waybel18,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k8_waybel18(A,B,C) = C ) ) ) )).
fof(d7_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_waybel23(B,A) <=> ( v2_waybel23(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => C = k1_yellow_0(A,k9_subset_1(u1_struct_0(A),k1_waybel_3(A,C),B)) ) ) ) ) ) )).
fof(d7_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v9_functor0(B,k5_waybel34(A),k4_waybel34(A)) & v16_functor0(B,k5_waybel34(A),k4_waybel34(A)) & m2_functor0(B,k5_waybel34(A),k4_waybel34(A)) ) => ( B = k7_waybel34(A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(k5_waybel34(A))) => k3_functor0(k5_waybel34(A),k4_waybel34(A),B,C) = k4_yellow21(k5_waybel34(A),C) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k5_waybel34(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_waybel34(A))) => ( k1_altcat_1(k5_waybel34(A),C,D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_altcat_1(k5_waybel34(A),C,D)) => k8_functor0(k5_waybel34(A),k4_waybel34(A),B,C,D,E) = k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,E)) ) ) ) ) ) ) ) ) )).
fof(d7_waybel35,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ( m1_waybel35(C,A,B) => ( v3_waybel35(C,A,B) <=> r1_waybel35(A,C,B) ) ) ) ) )).
fof(d7_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => k1_waybel_0(A,B) = u1_waybel_0(A,B) ) ) )).
fof(d7_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( r4_waybel_1(A,B,C) <=> ( r1_yellow_0(A,C) & B = k1_yellow_0(A,C) & r2_tarski(k1_yellow_0(A,C),C) ) ) ) ) )).
fof(d7_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v2_waybel_2(A) <=> ( v24_waybel_0(A) & v1_waybel_2(A) ) ) ) )).
fof(d7_waybel_3,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_waybel_3(A) <=> ! [B] : ( l1_struct_0(B) => ~ ( r2_tarski(B,k10_xtuple_0(A)) & v2_struct_0(B) ) ) ) ) )).
fof(d7_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k3_waybel_6(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> v5_waybel_6(C,A) ) ) ) ) ) )).
fof(d7_waybel_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( v5_waybel_7(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k7_yellow_3(A,A,C,D),B) & r2_tarski(k7_yellow_3(A,A,C,E),B) ) => r2_tarski(k7_yellow_3(A,A,C,k11_lattice3(A,D,E)),B) ) ) ) ) ) ) ) )).
fof(d7_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v6_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( D = k4_waybel_9(A,B,C) <=> ( ! [E] : ( r2_hidden(E,u1_struct_0(D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & F = E & r1_orders_2(B,C,F) ) ) & r2_relset_1(u1_struct_0(D),u1_struct_0(D),u1_orders_2(D),k1_toler_1(u1_orders_2(B),u1_struct_0(D))) & u1_waybel_0(A,D) = k2_partfun1(u1_struct_0(B),u1_struct_0(A),u1_waybel_0(A,B),u1_struct_0(D)) ) ) ) ) ) ) )).
fof(d7_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v7_vectsp_1(C,k4_weddwitt(A)) & v8_vectsp_1(C,k4_weddwitt(A)) & v9_vectsp_1(C,k4_weddwitt(A)) & v10_vectsp_1(C,k4_weddwitt(A)) & v11_vectsp_1(C,k4_weddwitt(A)) & l1_vectsp_1(C,k4_weddwitt(A)) ) => ( C = k7_weddwitt(A,B) <=> ( g2_algstr_0(u1_struct_0(C),u1_algstr_0(C),u2_struct_0(C)) = g2_algstr_0(u1_struct_0(k5_weddwitt(A,B)),u1_algstr_0(k5_weddwitt(A,B)),u2_struct_0(k5_weddwitt(A,B))) & u1_vectsp_1(k4_weddwitt(A),C) = k2_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(k4_weddwitt(A)),u1_struct_0(k5_weddwitt(A,B)))) ) ) ) ) ) )).
fof(d7_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => k7_weierstr(A,B,C) = k3_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k6_weierstr(A,B),C)) ) ) ) )).
fof(d7_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r3_wellord1(A,B,C) <=> ( k9_xtuple_0(C) = k1_relat_1(A) & k10_xtuple_0(C) = k1_relat_1(B) & v2_funct_1(C) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),A) <=> ( r2_hidden(D,k1_relat_1(A)) & r2_hidden(E,k1_relat_1(A)) & r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) ) ) ) ) ) ) ) )).
fof(d7_xboole_0,axiom,( ! [A] : ! [B] : ( r1_xboole_0(A,B) <=> k3_xboole_0(A,B) = k1_xboole_0 ) )).
fof(d7_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k6_xboolean(A,B) = k5_xboolean(k3_xboolean(A),B) ) ) )).
fof(d7_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(A,B) = k2_xcmplx_0(A,k4_xcmplx_0(B)) ) ) )).
fof(d7_xtuple_0,axiom,( ! [A] : k5_xtuple_0(A) = k2_xtuple_0(k1_xtuple_0(A)) )).
fof(d7_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ( v3_xxreal_0(A) <=> ~ r1_xxreal_0(k5_numbers,A) ) ) )).
fof(d7_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v1_xxreal_2(A) ) => ! [B] : ( v1_xxreal_0(B) => ( B = k2_xxreal_2(A) <=> ( r2_hidden(B,A) & ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(B,C) ) ) ) ) ) ) )).
fof(d7_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k6_xxreal_3(A,B) = k4_xxreal_3(A,k5_xxreal_3(B)) ) ) )).
fof(d7_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( r6_yellow16(A,B,C) <=> ( r2_yellow_0(B,C) => r2_tarski(k2_yellow_0(B,C),u1_struct_0(A)) ) ) ) ) )).
fof(d7_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v2_yellow18(A) <=> ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_tarski(k1_altcat_1(A,C,D),k1_funct_2(k1_funct_1(B,C),k1_funct_1(B,D))) ) ) ) ) ) )).
fof(d7_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_altcat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => k5_yellow21(A,B,C,D) = D ) ) ) ) ) )).
fof(d7_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( r1_yellow_0(A,B) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_lattice3(A,B,D) => r1_orders_2(A,C,D) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_lattice3(A,B,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_lattice3(A,B,E) => r1_orders_2(A,D,E) ) ) ) => D = C ) ) ) ) ) )).
fof(d7_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => ! [C] : ( m1_yellow_6(C,A,B) => ( v2_yellow_6(C,A,B) <=> ( v4_yellow_0(C,B) & m1_yellow_0(C,B) ) ) ) ) ) )).
fof(d7_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k7_zf_lang(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k14_trees_3(4),k14_trees_3(A)),B) ) ) )).
fof(d7_zf_model,axiom,( k7_zf_model = k13_zf_lang(k2_zf_lang(k5_numbers),k2_zf_lang(1),k12_zf_lang(k2_zf_lang(2),k7_zf_lang(k2_zf_lang(3),k11_zf_lang(k4_zf_lang(k2_zf_lang(3),k2_zf_lang(2)),k9_zf_lang(k3_zf_lang(k2_zf_lang(3),k2_zf_lang(k5_numbers)),k3_zf_lang(k2_zf_lang(3),k2_zf_lang(1))))))) )).
fof(d7_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r3_zfmisc_1(A,B,C,D,E) <=> ( A != B & A != C & A != D & A != E & B != C & B != D & B != E & C != D & C != E & D != E ) ) )).
fof(d7_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) <=> ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k1_zmodul01(A,C,B) = k4_struct_0(A) & B != k5_numbers & C != k4_struct_0(A) ) ) ) ) ) )).
fof(d7_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_zmodul02(A,B),k6_zmodul02(A,B)),k6_zmodul02(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_zmodul02(A,B),k6_zmodul02(A,B)),k6_zmodul02(A,B)))) ) => ( C = k7_zmodul02(A,B) <=> ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k6_zmodul02(A,B)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k6_zmodul02(A,B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( D = k5_zmodul01(A,F,B) & E = k5_zmodul01(A,G,B) ) => k4_binop_1(k6_zmodul02(A,B),C,D,E) = k5_zmodul01(A,k3_rlvect_1(A,F,G),B) ) ) ) ) ) ) ) ) ) )).
fof(d7_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_zmodul02(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_zmodul05(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k6_zmodul05(A,B,C,D,E) = k1_partfun1(k4_ordinal1,k9_subset_1(u1_struct_0(A),k8_relset_1(u1_struct_0(A),u1_struct_0(B),D,k6_domain_1(u1_struct_0(B),E)),k18_zmodul02(A,C)),u1_struct_0(A),k4_numbers,k19_finseq_1(k9_subset_1(u1_struct_0(A),k8_relset_1(u1_struct_0(A),u1_struct_0(B),D,k6_domain_1(u1_struct_0(B),E)),k18_zmodul02(A,C))),C) ) ) ) ) ) )).
fof(d8_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_abcmiz_0(A,B) = k1_funct_1(u3_abcmiz_0(A),B) ) ) )).
fof(d8_abcmiz_1,axiom,( k10_abcmiz_1 = 1 )).
fof(d8_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => k9_abcmiz_a(A,B) = k3_xboole_0(k9_xtuple_0(k10_xtuple_0(B)),a_1_0_abcmiz_a(A)) ) ) )).
fof(d8_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r8_absred_0(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r5_absred_0(A,B,D) & r7_absred_0(A,D,C) ) ) ) ) ) )).
fof(d8_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v8_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & r2_hidden(C,B) & r2_hidden(F,B) & r2_hidden(I,B) & r1_aff_1(A,C,D,G) & r2_analoaf(A,D,E,G,H) & r2_analoaf(A,E,F,H,I) & r2_analoaf(A,D,F,G,I) & r2_aff_1(A,D,E,B) ) => ( r2_hidden(D,B) | C = F | D = E | r1_aff_1(A,C,E,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v8_aff_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r2_hidden(E,B) & r2_hidden(F,B) & r2_hidden(G,C) & r2_hidden(H,C) & r2_hidden(I,D) & r2_hidden(J,D) & r5_aff_1(A,B,C) & r1_aff_1(A,G,E,K) & r1_aff_1(A,H,F,K) & r1_aff_1(A,G,I,L) & r1_aff_1(A,H,J,L) & r2_analoaf(A,E,I,F,J) & r2_analoaf(A,E,I,K,L) ) => ( B = C | B = D | C = D | r1_aff_1(A,G,E,I) | r1_aff_1(A,H,F,J) | K = L | I = J | r5_aff_1(A,B,D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_afinsq_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( C = k9_afinsq_1(A,B) <=> ( k1_afinsq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(B),D) => k1_funct_1(B,k1_nat_1(D,1)) = k1_funct_1(C,D) ) ) ) ) ) ) )).
fof(d8_afinsq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( v5_relat_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_setwiseo(C,A) | r1_xxreal_0(1,k1_afinsq_1(B)) ) => ! [D] : ( m1_subset_1(D,A) => ( ( ( v1_setwiseo(C,A) & k1_afinsq_1(B) = k5_numbers ) => ( D = k6_afinsq_2(A,B,C) <=> D = k3_binop_1(A,C) ) ) & ( ~ ( v1_setwiseo(C,A) & k1_afinsq_1(B) = k5_numbers ) => ( D = k6_afinsq_2(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & k3_funct_2(k4_ordinal1,A,E,k5_numbers) = k1_funct_1(B,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(k1_afinsq_1(B),k1_nat_1(F,1)) => k3_funct_2(k4_ordinal1,A,E,k1_nat_1(F,1)) = k1_binop_1(C,k8_nat_1(A,E,F),k1_funct_1(B,k1_nat_1(F,1))) ) ) & D = k1_funct_1(E,k6_xcmplx_0(k1_afinsq_1(B),1)) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k8_afproj(A) = k8_eqrel_1(k2_afproj(A),k4_afproj(A)) ) )).
fof(d8_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_afvect0(A,B) = g2_algstr_0(u1_struct_0(A),k3_afvect0(A,B),B) ) ) )).
fof(d8_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_alg_1(B,A) => ! [C] : ( m5_margrel1(C,u1_struct_0(A),k1_unialg_2(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_funct_1(D) & v2_margrel1(D) & v3_margrel1(D,k8_eqrel_1(u1_struct_0(A),B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)))) ) => ( D = k2_alg_1(A,B,C) <=> ( k1_relset_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A),B)),D) = k4_finseq_2(k18_margrel1(C),k8_eqrel_1(u1_struct_0(A),B)) & ! [E] : ( m2_finseq_1(E,k8_eqrel_1(u1_struct_0(A),B)) => ( r2_tarski(E,k1_relset_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A),B)),D)) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( r1_finseq_3(u1_struct_0(A),B,E,F) => k1_funct_1(D,E) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),B,k1_funct_1(C,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ( v6_algstr_1(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,D) != C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,B) != C ) ) ) ) ) ) ) )).
fof(d8_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( D = k7_algstr_4(A,B,C) <=> ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ( r2_hidden(E,A) & r2_hidden(F,A) & k1_funct_1(C,E) = k1_funct_1(C,F) ) ) ) ) ) )).
fof(d8_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & ~ ! [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) => k5_altcat_1(A,B,C,D,E,F) = k1_binop_1(k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,C,D),F,E) ) ) ) ) ) ) ) )).
fof(d8_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( v5_altcat_3(D,A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k1_altcat_1(A,C,E) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,C,E)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,C,E)) => ( k5_altcat_1(A,B,C,E,D,F) = k5_altcat_1(A,B,C,E,D,G) => F = G ) ) ) ) ) ) ) ) ) ) )).
fof(d8_altcat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v4_altcat_5(A) <=> ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_altcat_5(E,A,D,B,C) & v2_altcat_5(E,A,B,C,D) & v3_altcat_5(E,A,B,C,D) ) ) ) ) ) )).
fof(d8_altcat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v4_altcat_6(D,A,B,C) <=> ? [E] : ( m1_altcat_6(E,A,D,B,C) & v1_altcat_6(E,A,B,C,D) & v2_altcat_6(E,A,B,C,D) ) ) ) ) ) )).
fof(d8_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( m2_subset_1(B,k1_ami_2,k2_ami_2) => ! [C] : ( v1_int_1(C) => k7_ami_2(A,B,C) = k1_funct_4(A,k17_funcop_1(B,C)) ) ) ) )).
fof(d8_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => k7_ami_3(A) = k3_xtuple_0(6,k9_finseq_1(A),k1_xboole_0) ) )).
fof(d8_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v3_ami_wstd(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k1_funct_1(k2_extpro_1(A,B,C,D),k4_struct_0(B)) = k5_ami_wstd(A,B,k5_memstr_0(A,B,D)) ) ) ) ) ) )).
fof(d8_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v4_amistd_1(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k1_funct_1(k2_extpro_1(A,B,C,D),k4_struct_0(B)) = k1_nat_1(k5_memstr_0(A,B,D),1) ) ) ) ) ) )).
fof(d8_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ( v3_analmetr(A) <=> ( ~ v7_struct_0(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_diraf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & l1_analoaf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( r4_analmetr(A,B,C,B,C) => B = C ) & r4_analmetr(A,B,C,D,D) & ( r4_analmetr(A,B,C,D,E) => ( r4_analmetr(A,B,C,E,D) & r4_analmetr(A,D,E,B,C) ) ) & ~ ( r4_analmetr(A,B,C,F,G) & r2_analoaf(A,B,C,H,I) & ~ r4_analmetr(A,F,G,H,I) & B != C ) & ( ( r4_analmetr(A,B,C,F,G) & r4_analmetr(A,B,C,F,I) ) => r4_analmetr(A,B,C,G,I) ) ) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B != C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_analoaf(A,B,C,B,E) & r4_analmetr(A,B,C,E,D) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r4_analmetr(A,B,C,D,E) & D != E ) ) ) ) ) ) ) )).
fof(d8_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_analort(A,B,C) = g1_analmetr(u1_struct_0(A),k4_analort(A,B,C)) ) ) ) )).
fof(d8_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ( v3_collsp(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,D) & r1_collsp(A,B,C,E) & r1_collsp(A,B,C,F) ) => ( B = C | r1_collsp(A,D,E,F) ) ) ) ) ) ) ) ) ) )).
fof(d8_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k9_aofa_000(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & D = k8_nat_1(k9_setfam_1(u1_struct_0(A)),E,C) & k8_nat_1(k9_setfam_1(u1_struct_0(A)),E,k5_numbers) = B & ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),E,k1_nat_1(F,1)) = k2_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(A)),E,F),a_3_0_aofa_000(A,E,F)) ) ) ) ) ) ) ) )).
fof(d8_aofa_a00,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_aofa_a00(A,B,C,D) <=> ( k1_funct_1(u1_msualg_1(A),B) = C & k1_funct_1(u2_msualg_1(A),B) = D ) ) ) ) )).
fof(d8_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) ) => ! [F] : ( ( v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,D),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) ) => ! [G] : ( ( v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) ) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,C),G)) => k5_aofa_a01(A,B,C,D,E,F,G,H,I) = k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,D),E,u8_aofa_a00(A),F,k32_aofa_a00(A,C,G,H,I)) ) ) ) ) ) ) ) ) ) )).
fof(d8_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( D = k7_aofa_i00(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k4_numbers,D,E) = k2_xcmplx_0(k3_funct_2(A,k4_numbers,B,E),C) ) ) ) ) ) ) )).
fof(d8_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_aofa_l00(C,A,B) <=> ? [D] : ( m1_msafree(D,A,B) & C = k3_card_3(D) ) ) ) ) )).
fof(d8_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => k5_armstrng(A) = a_1_0_armstrng(A) ) )).
fof(d8_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( ( B = k11_arytm_3 => k7_arytm_2(A,B) = A ) & ( A = k11_arytm_3 => k7_arytm_2(A,B) = B ) & ~ ( B != k11_arytm_3 & A != k11_arytm_3 & k7_arytm_2(A,B) != k4_arytm_2(k5_arytm_2(k3_arytm_2(A),k3_arytm_2(B))) ) ) ) ) )).
fof(d8_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( r2_tarski(A,k4_ordinal1) => ( B = k6_arytm_3(A) <=> B = A ) ) & ( ~ r2_tarski(A,k4_ordinal1) => ( B = k6_arytm_3(A) <=> ? [C] : ( v3_ordinal1(C) & v7_ordinal1(C) & A = k4_tarski(B,C) ) ) ) ) ) ) )).
fof(d8_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r1_asympt_0(A,B) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(C,D) => r1_xxreal_0(k8_nat_1(k1_numbers,A,D),k8_nat_1(k1_numbers,B,D)) ) ) ) ) ) ) )).
fof(d8_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => k6_bagorder(A) = k5_bagorder(A,k17_pre_poly(A)) ) )).
fof(d8_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v8_bcialg_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_bcialg_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(d8_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_bcialg_2(B,A) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( C = k2_bcialg_2(A,B) <=> ( k1_bcialg_2(A,k4_struct_0(A),B,C) = k4_struct_0(A) & ! [D] : ( v7_ordinal1(D) => ( k1_bcialg_2(A,k4_struct_0(A),B,D) = k4_struct_0(A) => ( D = k5_numbers | r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) ) )).
fof(d8_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bcialg_4(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k7_bcialg_4(A,B) = k1_finsop_1(u1_struct_0(A),B,u1_bcialg_4(A)) ) ) )).
fof(d8_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k4_bcialg_6(A,B,C) = a_3_0_bcialg_6(A,B,C) ) ) ) )).
fof(d8_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m4_bciideal(B,A) <=> ( r2_tarski(k4_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,C,D),E),B) & r2_tarski(k1_bcialg_1(A,D,E),B) ) => r2_tarski(k1_bcialg_1(A,C,E),B) ) ) ) ) ) ) ) ) )).
fof(d8_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_bhsp_5(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( C = D | k2_bhsp_1(A,C,D) = k5_numbers ) ) ) ) ) ) ) )).
fof(d8_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k7_bilinear(A,B,C,D,E) = k10_funct_5(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),k9_funct_2(u1_struct_0(C),u1_struct_0(A)),k11_funct_5(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D),E) ) ) ) ) ) )).
fof(d8_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ? [C] : ( m1_subset_1(C,A) & r3_binop_1(A,C,B) ) => ! [C] : ( m1_subset_1(C,A) => ( C = k3_binop_1(A,B) <=> r3_binop_1(A,C,B) ) ) ) ) )).
fof(d8_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) ) => k12_borsuk_1(A,B) = k13_eqrel_1(u1_struct_0(A),B) ) ) )).
fof(d8_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) => ( A = k6_borsuk_6 <=> ! [B] : ( r2_tarski(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) & ? [D] : ( m1_subset_1(D,u1_struct_0(k5_topmetr)) & B = k4_borsuk_1(k5_topmetr,k5_topmetr,C,D) & r1_xxreal_0(D,k6_xcmplx_0(1,k3_xcmplx_0(2,C))) ) ) ) ) ) )).
fof(d8_borsuk_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ( B != k4_struct_0(k15_euclid(A)) => k14_borsuk_7(A,B) = k9_toprealc(A,B,k12_euclid(B)) ) ) ) )).
fof(d8_bspace,axiom,( ! [A] : k8_bspace(A) = a_1_0_bspace(A) )).
fof(d8_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k9_bvfunc_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k5_margrel1,D,E) = k5_xboolean(k8_margrel1(k3_funct_2(A,k5_margrel1,B,E)),k3_funct_2(A,k5_margrel1,C,E)) ) ) ) ) ) ) )).
fof(d8_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ( r3_bvfunc_2(A,B,C,D) <=> r2_bvfunc_1(A,B,k5_bvfunc_2(A,D,C)) ) ) ) ) ) )).
fof(d8_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_c0sp1(B,A) => ( v1_xboole_0(B) | k4_c0sp1(A,B) = k5_struct_0(A) ) ) ) ) )).
fof(d8_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k8_c0sp2(A) = k2_partfun1(k6_c0sp1(u1_struct_0(A)),k1_numbers,k10_c0sp1(u1_struct_0(A)),k6_c0sp2(A)) ) )).
fof(d8_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_zfmisc_1(k4_calcul_1(A),k2_cqc_the1)) => ( v1_calcul_1(B,A) <=> ( B != k1_xboole_0 & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r3_calcul_1(A,B,C) ) ) ) ) ) ) )).
fof(d8_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) => k7_card_3(A) = k1_card_1(k4_card_3(A)) ) )).
fof(d8_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_card_fil(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k2_card_fil(A,B,C) = a_3_0_card_fil(A,B,C) ) ) ) )).
fof(d8_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( r4_card_lar(A,B) <=> ( r1_tarski(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ~ ( v2_card_lar(C,A) & v1_card_lar(C,A) & v1_xboole_0(k9_subset_1(A,B,C)) ) ) ) ) ) )).
fof(d8_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ( v4_cat_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( ( k3_graph_1(A,D) = k4_graph_1(A,C) & k3_graph_1(A,C) = k4_graph_1(A,B) ) => k1_cat_1(A,k1_cat_1(A,B,C),D) = k1_cat_1(A,B,k1_cat_1(A,C,D)) ) ) ) ) ) ) )).
fof(d8_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k10_cat_2(A,B,C,D,E) = k1_funct_1(k1_funct_5(D),k4_cat_1(A,E)) ) ) ) ) ) )).
fof(d8_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v1_cat_3(D,A,B,C) <=> ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,B) != k1_xboole_0 & ? [E] : ( m1_cat_1(E,A,C,B) & k5_cat_1(A,C,B,C,E,D) = k4_cat_1(A,C) ) ) ) ) ) ) ) )).
fof(d8_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_4(A) ) => ( v3_cat_4(A) <=> ( v10_cat_1(u1_cat_4(A),A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k4_graph_1(A,k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u3_cat_4(A),B,C)) = B & k4_graph_1(A,k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u4_cat_4(A),B,C)) = C & r2_cat_3(A,k4_binop_1(u1_struct_0(A),u2_cat_4(A),B,C),k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u3_cat_4(A),B,C),k2_binop_1(u1_struct_0(A),u1_struct_0(A),u4_struct_0(A),u4_cat_4(A),B,C)) ) ) ) ) ) ) )).
fof(d8_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ( v4_cat_5(A) <=> ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ( ( m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m2_cat_1(D,B,C) => m1_subset_1(k4_tarski(k4_tarski(B,C),D),u4_struct_0(A)) ) ) ) ) ) ) )).
fof(d8_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v6_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( r1_cat_6(A,C,D) => ( r1_cat_6(A,k2_cat_6(A,C,D),B) <=> r1_cat_6(A,D,B) ) ) ) ) ) ) ) )).
fof(d8_catalg_1,axiom,( ! [A] : k5_catalg_1(A) = k4_tarski(1,k9_finseq_1(A)) )).
fof(d8_cayldick,axiom,( k3_cayldick = g1_cayldick(k1_numbers,k11_binop_2,k9_binop_2,k11_binop_2,k10_subset_1(1,k1_numbers),k10_subset_1(k5_numbers,k1_numbers),k2_euclid,k6_partfun1(k1_numbers)) )).
fof(d8_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k5_cc0sp1(A,B) = a_2_0_cc0sp1(A,B) ) ) )).
fof(d8_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k7_cc0sp2(A) = g1_clvect_1(k6_cc0sp2(A),k8_csspace(k6_cfuncdom(u1_struct_0(A)),k6_cc0sp2(A)),k1_c0sp1(k6_cfuncdom(u1_struct_0(A)),k6_cc0sp2(A)),k7_csspace(k6_cfuncdom(u1_struct_0(A)),k6_cc0sp2(A))) ) )).
fof(d8_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v4_cfdiff_1(A) <=> ! [B] : ( v1_xcmplx_0(B) => ( r2_hidden(B,k1_relset_1(k2_numbers,A)) => r1_cfdiff_1(A,B) ) ) ) ) )).
fof(d8_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k8_cfuncdom(A) = g1_cfuncdom(k9_funct_2(A,k2_numbers),k2_cfuncdom(A),k1_cfuncdom(A),k3_cfuncdom(A),k5_cfuncdom(A),k4_cfuncdom(A)) ) )).
fof(d8_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => k8_cgames_1(A) = k2_xboole_0(k6_cgames_1(A),k7_cgames_1(A)) ) )).
fof(d8_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ! [C] : ( v7_ordinal1(C) => k5_chain_1(A,B,C) = k1_xboole_0 ) ) ) )).
fof(d8_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ~ ( B != C & ~ r1_chord(A,B,C) & ~ ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k6_glib_000(A))) => ( m2_chord(D,A,B,C) <=> ( ~ r2_tarski(B,D) & ~ r2_tarski(C,D) & ! [E] : ( m2_glib_000(E,A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) => ! [F] : ( m3_glib_001(F,E) => ~ r1_glib_001(E,B,C,F) ) ) ) ) ) ) ) ) ) )).
fof(d8_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => k3_circcmb3(A) = k3_tarski(u4_struct_0(A)) ) )).
fof(d8_circcomb,axiom,( ! [A] : ( l1_msualg_1(A) => ( v2_circcomb(A) <=> ! [B] : ( r2_tarski(B,u4_struct_0(A)) => B = k4_tarski(k1_funct_1(u1_msualg_1(A),B),k2_xtuple_0(B)) ) ) ) )).
fof(d8_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m3_msaterm(C,A,B) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D)))) => ! [F] : ( m2_pboole(F,u1_struct_0(A),B,u3_msualg_1(A,D)) => ( m1_circtrm1(F,A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_funct_1(B,G)) => ( r2_tarski(k1_trees_4(k4_tarski(H,G)),k9_trees_9(C)) => k1_funct_1(k1_funct_1(F,G),H) = k1_funct_1(E,k1_trees_4(k4_tarski(H,G))) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => k8_circuit2(A,B,C,D) = k1_funct_4(k1_circuit2(A,B,D,k2_circuit1(A,B,C,k5_numbers)),k1_circuit1(A,B)) ) ) ) ) )).
fof(d8_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => k9_clopban1(A,B) = g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B))) ) ) )).
fof(d8_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k9_clopban2(A) = g1_clopban2(k8_clopban1(A,A),k5_clopban2(A),k6_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),k7_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),k6_clopban2(A),k8_csspace(k6_clopban1(A,A),k8_clopban1(A,A)),k13_clopban1(A,A)) ) )).
fof(d8_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k3_clopban3(A,B,C) = k1_normsp_0(A,k2_clopban3(A,B),C) ) ) ) )).
fof(d8_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v5_closure2(C,A,B) <=> r2_tarski(B,C) ) ) ) )).
fof(d8_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( m1_clvect_1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & k4_struct_0(B) = k4_struct_0(A) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u1_clvect_1(B) = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(B))) ) ) ) ) )).
fof(d8_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v2_clvect_2(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k13_csspace(A,k8_nat_1(u1_struct_0(A),B,E),k8_nat_1(u1_struct_0(A),B,F))) ) ) ) ) ) ) ) ) )).
fof(d8_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k6_clvect_3(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_normsp_0(A,D,E) = k1_clvect_1(A,k1_normsp_0(A,B,E),k8_nat_1(k2_numbers,C,E)) ) ) ) ) ) ) )).
fof(d8_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => k7_coh_sp(A,B) = k2_xfamily(k1_xfamily(B)) ) )).
fof(d8_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_cohsp_1(A,B,C) <=> r1_cohsp_1(A,k2_tarski(B,C)) ) )).
fof(d8_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ( v6_combgras(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( r1_incsp_1(A,D,E) <=> r1_incsp_1(B,k2_combgras(A,B,C,D),k3_combgras(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(d8_compact1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_compact1(C,A,B) <=> ( v6_compact1(C,A,B) & v1_compts_1(B) & v1_tops_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_struct_0(A)),B) ) ) ) ) ) )).
fof(d8_compl_sp,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v7_compl_sp(B,A) <=> ! [C] : ( v7_ordinal1(C) => v3_compl_sp(k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(d8_compos_0,axiom,( ! [A] : ( v1_compos_0(A) => ! [B] : ( m1_subset_1(B,A) => ( v4_compos_0(B,A) <=> v1_xboole_0(k2_compos_0(B)) ) ) ) )).
fof(d8_compos_1,axiom,( ! [A] : ( ( v1_compos_1(A) & l1_compos_1(A) ) => ( A = k1_compos_1 <=> u1_compos_1(A) = k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)) ) ) )).
fof(d8_comput_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k5_comput_1(A,B) = k12_card_3(k2_finseq_2(A,k4_ordinal1),B) ) ) )).
fof(d8_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_comseq_3(A) <=> v2_comseq_2(k10_comseq_3(A)) ) ) )).
fof(d8_conlat_1,axiom,( ! [A] : ( l5_struct_0(A) => ! [B] : ( l2_conlat_1(B,A) => ( v4_conlat_1(B,A) <=> ( v1_xboole_0(u2_conlat_1(A,B)) & v1_xboole_0(u3_conlat_1(A,B)) ) ) ) ) )).
fof(d8_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( l2_conlat_1(B,A) => ! [C] : ( ( v3_conlat_1(C,k7_conlat_2(A)) & l2_conlat_1(C,k7_conlat_2(A)) ) => ( C = k8_conlat_2(A,B) <=> ( u2_conlat_1(k7_conlat_2(A),C) = u3_conlat_1(A,B) & u3_conlat_1(k7_conlat_2(A),C) = u2_conlat_1(A,B) ) ) ) ) ) )).
fof(d8_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v8_conmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,D,C,E) & r2_analoaf(A,B,F,C,G) ) => ( r5_analmetr(A,B,C,D) | r5_analmetr(A,B,C,F) | r2_analoaf(A,D,F,E,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_convex4(C,A) => ! [D] : ( m1_convex4(D,A) => ( D = k5_convex4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,D,E) = k2_xcmplx_0(k3_funct_2(u1_struct_0(A),k2_numbers,B,E),k3_funct_2(u1_struct_0(A),k2_numbers,C,E)) ) ) ) ) ) ) )).
fof(d8_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => k10_cqc_sim1(A,B,C,D) = k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A),k8_cqc_sim1(A,k9_cqc_sim1(A),B),k1_domain_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),C,D)) ) ) ) ) )).
fof(d8_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r3_cqc_the1(A,B,C) <=> r2_tarski(C,k1_cqc_the1(A,B)) ) ) ) ) )).
fof(d8_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) => k6_csspace(A,B) = k1_realset1(u1_algstr_0(A),B) ) ) ) )).
fof(d8_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k7_csspace4(A,B,C) = a_3_0_csspace4(A,B,C) ) ) ) )).
fof(d8_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v2_comseq_2(k3_dblseq_1(A)) => ! [B] : ( v1_xreal_0(B) => ( B = k5_dblseq_1(A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers,k3_dblseq_1(A),E),B))) ) ) ) ) ) ) ) ) )).
fof(d8_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_decomp_1(A,B) = k9_subset_1(u1_struct_0(A),B,k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,B)))) ) ) )).
fof(d8_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k6_dickson(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_dickson(A))) & r4_waybel_4(B,E,u1_orders_2(k5_dickson(A))) & D = k9_subset_1(u1_struct_0(A),k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_dickson(A),E),B) ) ) ) ) ) ) )).
fof(d8_diff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) => ( C = k8_diff_1(A,B) <=> ( r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k5_numbers),A) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,C,k1_nat_1(D,1)),k5_diff_1(k1_seqfunc(k1_numbers,k1_numbers,C,D),B)) ) ) ) ) ) ) )).
fof(d8_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_dilworth(A,B) = k4_subset_1(u1_struct_0(A),B,k4_waybel_0(A,B)) ) ) )).
fof(d8_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( v1_matrprob(B) & m2_finseq_1(B,k1_numbers) ) => ( ? [C] : ( m2_finseq_1(C,A) & k4_dist_1(A,C) = B ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) => ( C = k8_dist_1(A,B) <=> k3_funct_2(k6_dist_1(A),k3_finseq_2(k1_numbers),k7_dist_1(A),C) = B ) ) ) ) ) )).
fof(d8_dtconstr,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_dtconstr(k5_dtconstr),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k5_dtconstr),k4_ordinal1))) ) => ( A = k12_dtconstr <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(k5_dtconstr)) => ( r2_tarski(B,k6_dtconstr(k5_dtconstr)) => k1_funct_1(A,k2_trees_4(u1_struct_0(k5_dtconstr),B)) = k5_numbers ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k5_dtconstr)) => ! [C] : ( m1_trees_4(C,k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => ( r1_lang1(k5_dtconstr,B,k1_dtconstr(u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),C)) => k1_funct_1(A,k8_trees_4(u1_struct_0(k5_dtconstr),B,C)) = k11_dtconstr(k4_finseqop(k4_dtconstr(k5_dtconstr),k4_ordinal1,C,A)) ) ) ) ) ) ) )).
fof(d8_dualsp01,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( C = k10_dualsp01(A,B) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k6_xcmplx_0(k8_nat_1(k1_numbers,A,D),B) ) ) ) ) ) )).
fof(d8_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A))))) ) => ( D = k5_ec_pf_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)))) => k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A)),D,E) = k5_algstr_0(k9_int_3(A),k8_group_1(k9_int_3(A),k2_binom(k9_int_3(A),k2_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),E),2),k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),E)),k3_rlvect_1(k9_int_3(A),k3_rlvect_1(k9_int_3(A),k2_binom(k9_int_3(A),k1_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),E),3),k8_group_1(k9_int_3(A),k8_group_1(k9_int_3(A),B,k1_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),E)),k2_binom(k9_int_3(A),k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),E),2))),k8_group_1(k9_int_3(A),C,k2_binom(k9_int_3(A),k3_mcart_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),E),3)))) ) ) ) ) ) ) )).
fof(d8_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) ) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k1_ec_pf_2(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))))) ) => ( C = k8_ec_pf_2(A,B) <=> ! [D] : ( m2_subset_1(D,k3_ec_pf_1(k9_int_3(A)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) => k3_funct_2(k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),C,D) = k4_domain_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),k4_ec_pf_2(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B),D),k4_algstr_0(k9_int_3(A),k5_ec_pf_2(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B),D)),k6_ec_pf_2(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B),D)) ) ) ) ) ) )).
fof(d8_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => ( v1_ens_1(B,A) <=> k10_xtuple_0(k2_xfamily(B)) = k4_ens_1(A,B) ) ) ) )).
fof(d8_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v2_matrprob(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( B = k5_entropy1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & k1_matrix_0(B) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_matrprob(k1_numbers,B,C) = k14_rvsum_1(k7_matrix_0(k1_numbers,A,C),k3_entropy1(2,k7_matrix_0(k1_numbers,A,C))) ) ) ) ) ) ) ) )).
fof(d8_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ( K = k8_enumset1(A,B,C,D,E,F,G,H,I,J) <=> ! [L] : ( r2_hidden(L,K) <=> ~ ( L != A & L != B & L != C & L != D & L != E & L != F & L != G & L != H & L != I & L != J ) ) ) )).
fof(d8_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_eqrel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_eqrel_1(C,A) ) => ( C = k12_eqrel_1(A,B) <=> ! [D] : ( m1_subset_1(D,A) => k11_eqrel_1(A,D,C) = k1_setfam_1(a_3_0_eqrel_1(A,B,D)) ) ) ) ) ) )).
fof(d8_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v5_rltopsp1(B) & l1_rltopsp1(B) ) => ( B = k15_euclid(A) <=> ( g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k3_pcomps_1(k14_euclid(A)) & g1_rlvect_1(u1_struct_0(B),u2_struct_0(B),u1_algstr_0(B),u1_rlvect_1(B)) = k10_funcsdom(k2_finseq_1(A)) ) ) ) ) )).
fof(d8_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k8_euclid_3(A,B,C,D) = a_4_1_euclid_3(A,B,C,D) ) ) ) ) )).
fof(d8_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ( v6_euclid_7(B,A) <=> ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m1_subset_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k1_numbers) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k7_euclid(A,k9_euclid(A,C,E),k9_euclid(A,D,F)),B) ) ) ) ) ) ) ) ) )).
fof(d8_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ( r6_euclidlp(A,B,C) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) & ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) & ? [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) & B = k2_euclid_4(A,D,E) & C = k2_euclid_4(A,F,G) & r4_euclidlp(A,k8_euclid(A,E,D),k8_euclid(A,G,F)) ) ) ) ) ) ) ) ) )).
fof(d8_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_exchsort(A) <=> ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & r2_tarski(B,C) ) => r2_xboole_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(d8_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r1_extpro_1(A,B,C,D) <=> ? [E] : ( v7_ordinal1(E) & r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E)),k9_xtuple_0(C)) & k3_extpro_1(A,B,C,k5_extpro_1(A,B,C,D,E)) = k2_compos_1(B) ) ) ) ) ) ) )).
fof(d8_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(A,B))) => ( E = k5_facirc_1(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(u3_msualg_1(A,B))))) & E = k8_nat_1(k4_card_3(u3_msualg_1(A,B)),F,D) & k8_nat_1(k4_card_3(u3_msualg_1(A,B)),F,k5_numbers) = C & ! [G] : ( v7_ordinal1(G) => k8_nat_1(k4_card_3(u3_msualg_1(A,B)),F,k1_nat_1(G,1)) = k6_circuit2(A,B,k8_nat_1(k4_card_3(u3_msualg_1(A,B)),F,G)) ) ) ) ) ) ) ) ) )).
fof(d8_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v4_fdiff_1(A) <=> r2_fdiff_1(A,k1_relset_1(k1_numbers,A)) ) ) )).
fof(d8_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k8_ff_siec(A) = k2_xboole_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k4_relat_1(u1_struct_0(A))) ) )).
fof(d8_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k5_filter_0(A,B,C) = a_3_0_filter_0(A,B,C) ) ) ) )).
fof(d8_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k8_filter_1(A) = a_1_0_filter_1(A) ) )).
fof(d8_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_filter_2(B,A) <=> ( B != u1_struct_0(A) & ! [C] : ( ( ~ v1_xboole_0(C) & v18_lattices(C,A) & v21_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,C) => ( C = u1_struct_0(A) | r1_filter_2(u1_struct_0(A),B,C) ) ) ) ) ) ) ) )).
fof(d8_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k8_fin_topo(A,B) = a_2_1_fin_topo(A,B) ) ) )).
fof(d8_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k9_finseq_1(A) <=> ( k9_xtuple_0(B) = k2_finseq_1(1) & k1_funct_1(B,1) = A ) ) ) )).
fof(d8_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k8_finseq_4(A,B,C,D,E) = k7_finseq_1(k11_finseq_1(A,B,C),k10_finseq_1(D,E)) )).
fof(d8_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r3_finseq_8(A,B,C) <=> ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => ( r1_xxreal_0(1,k3_finseq_1(C)) & k3_finseq_6(A,C,1,k3_finseq_1(B)) = B ) ) ) ) ) ) )).
fof(d8_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ( C = k8_fintopo3(A,B) <=> ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = k1_funct_1(C,D) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k1_nat_1(D,1)) = k1_fintopo3(A,E) ) ) ) & k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),C,k5_numbers) = B ) ) ) ) ) )).
fof(d8_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_fintopo6(A,B,C,D,E) <=> ( v2_fintopo6(B,A) & r1_tarski(k2_relset_1(u1_struct_0(A),B),C) & k1_funct_1(B,1) = D & k1_funct_1(B,k3_finseq_1(B)) = E & ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( v2_fintopo6(F,A) & r1_tarski(k2_relset_1(u1_struct_0(A),F),C) & k1_funct_1(F,1) = D & k1_funct_1(F,k3_finseq_1(F)) = E ) => r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(F)) ) ) ) ) ) ) ) ) ) )).
fof(d8_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m2_subset_1(C,k3_finseq_2(A),k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0))) => k5_fomodel0(A,B,C) = k4_fomodel0(A,B,C) ) ) ) )).
fof(d8_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k8_fomodel1(A) = u3_struct_0(A) ) )).
fof(d8_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_funct_2(k35_fomodel1(A),B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k35_fomodel1(A),B)))) ) => ( E = k7_fomodel2(A,B,C,D) <=> ( r2_relset_1(k35_fomodel1(A),B,k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),E,k5_numbers),k8_funcop_1(B,k35_fomodel1(A),C)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),E,k1_nat_1(F,1)) = k1_fomodel0(k3_relat_1(k22_fomodel1(A),D),k6_fomodel2(k36_fomodel1(A),k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),E,F))) ) ) ) ) ) ) ) ) )).
fof(d8_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( v1_relat_1(E) => k11_fomodel3(A,B,C,D,E) = a_5_0_fomodel3(A,B,C,D,E) ) ) ) ) ) )).
fof(d8_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( A = k3_frechet <=> ( u1_struct_0(A) = k2_xboole_0(k6_subset_1(k1_numbers,k4_ordinal1),k1_tarski(k1_numbers)) & ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_topmetr),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(A)))) & B = k1_funct_4(k6_partfun1(k1_numbers),k7_funcop_1(k4_ordinal1,k1_numbers)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(C,A) <=> v4_pre_topc(k8_relset_1(u1_struct_0(k3_topmetr),u1_struct_0(A),B,C),k3_topmetr) ) ) ) ) ) ) )).
fof(d8_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : k3_freealg(A,B) = g1_lang1(k2_xboole_0(k4_finseq_1(A),B),k2_freealg(A,B)) ) )).
fof(d8_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k8_fscirc_1(A,B,C) = k2_circcomb(k8_facirc_1(A,B,C,k1_facirc_1),k4_fscirc_1(A,B,C)) )).
fof(d8_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & l3_fsm_1(D,A,B) ) => ( r3_fsm_1(A,B,C,D) <=> ! [E] : ( m2_finseq_1(E,A) => k8_finseq_1(B,k12_finseq_1(B,k3_funct_2(u1_struct_0(D),B,u4_fsm_1(A,B,D),u2_fsm_1(A,D))),k4_fsm_1(A,B,C,u2_fsm_1(A,C),E)) = k5_fsm_1(A,B,D,u2_fsm_1(A,D),E) ) ) ) ) ) ) )).
fof(d8_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_2(C,A,B) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( r3_fsm_2(A,B,C,D,E) <=> ? [F] : ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) & ! [G] : ( m2_finseq_1(G,A) => ( k1_funct_1(G,1) = D => ( ( r1_xxreal_0(F,k1_nat_1(k3_finseq_1(G),1)) => ( E = k1_funct_1(u4_fsm_1(A,B,C),k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),F)) & r2_tarski(k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),F),u1_fsm_2(A,C)) ) ) & ! [H] : ( ( ~ v8_ordinal1(H) & m1_subset_1(H,k4_ordinal1) ) => ~ ( ~ r1_xxreal_0(F,H) & r1_xxreal_0(H,k1_nat_1(k3_finseq_1(G),1)) & r2_tarski(k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),H),u1_fsm_2(A,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => k6_fsm_3(A,B,C) = a_3_0_fsm_3(A,B,C) ) ) ) )).
fof(d8_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k8_ftacell1(A,B,C,D,E) = k3_circcomb(k25_gfacirc1(A,B,C),k37_gfacirc1(k24_gfacirc1(A,B,C),E,D),k26_gfacirc1(A,B,C),k38_gfacirc1(k24_gfacirc1(A,B,C),E,D)) )).
fof(d8_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( A = B => k14_funcop_1(A,B,C,D) = C ) & ( A != B => k14_funcop_1(A,B,C,D) = D ) ) )).
fof(d8_funcsdom,axiom,( ! [A] : k12_funcsdom(A) = g1_funcsdom(k9_funct_2(A,k1_numbers),k6_funcsdom(A),k5_funcsdom(A),k7_funcsdom(A),k9_funcsdom(A),k8_funcsdom(A)) )).
fof(d8_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v3_relat_1(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => v1_xboole_0(k1_funct_1(A,B)) ) ) ) )).
fof(d8_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_funct_2(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,A) => k1_funct_1(C,E) = k1_funct_1(D,E) ) ) ) ) )).
fof(d8_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k15_funct_3(A,B) <=> ( k9_xtuple_0(C) = k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [D] : ! [E] : ( ( r2_hidden(D,k9_xtuple_0(A)) & r2_hidden(E,k9_xtuple_0(B)) ) => k1_binop_1(C,D,E) = k4_tarski(k1_funct_1(A,D),k1_funct_1(B,E)) ) ) ) ) ) ) )).
fof(d8_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k7_funct_6(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(A)) => k1_funct_1(C,D) = k1_funct_2(k1_funct_1(A,D),B) ) ) ) ) ) )).
fof(d8_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_funct_7(A) <=> ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k1_nat_1(k3_finseq_1(A),1) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => r2_tarski(k1_funct_1(A,C),k1_funct_2(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,1)))) ) ) ) ) ) )).
fof(d8_funct_8,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_funct_8(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(B,D)) & v6_funct_8(k5_relset_1(B,C,D,A),B,C) ) ) ) ) ) )).
fof(d8_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ( ( r2_functor2(A,B,C,D) & r2_functor2(A,B,D,E) ) => ! [F] : ( m2_functor2(F,A,B,C,D) => ! [G] : ( m2_functor2(G,A,B,D,E) => ! [H] : ( m2_functor2(H,A,B,C,E) => ( H = k5_functor2(A,B,C,D,E,F,G) <=> r8_pboole(u1_struct_0(A),H,k3_functor2(A,B,C,D,E,F,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,B) & ~ r1_xxreal_0(D,C) & k5_fuznum_1(A,B,C,D) != k7_funct_4(k1_numbers,k1_numbers,k7_funct_4(k1_numbers,k1_numbers,k7_funct_4(k1_numbers,k1_numbers,k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k5_numbers,k5_numbers),k6_subset_1(k1_numbers,k2_rcomp_1(A,D))),k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(A,k6_xcmplx_0(B,A)))),k1_rcomp_1(A,B))),k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k5_numbers,1),k1_rcomp_1(B,C))),k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k6_xcmplx_0(D,C))),k7_xcmplx_0(D,k6_xcmplx_0(D,C))),k1_rcomp_1(C,D))) ) ) ) ) ) )).
fof(d8_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k6_fuzzy_1(A,B,C) = k2_fuzzy_1(A,k1_fuzzy_1(A,B,k3_fuzzy_1(A,C)),k1_fuzzy_1(A,k3_fuzzy_1(A,B),C)) ) ) ) )).
fof(d8_fvaluat1,axiom,( ! [A] : ( l6_algstr_0(A) => ( v3_fvaluat1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k6_numbers) & v2_fvaluat1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_numbers))) ) => ( m1_fvaluat1(B,A) <=> ( k1_funct_1(B,k4_struct_0(A)) = k1_xxreal_0 & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => r2_tarski(k1_funct_1(B,C),k4_numbers) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(B,k6_algstr_0(A,C,D)) = k1_xxreal_3(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,C)) => r1_xxreal_0(k5_numbers,k1_funct_1(B,k1_algstr_0(A,k5_struct_0(A),C))) ) ) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_funct_1(B,C) != k5_numbers & k1_funct_1(B,C) != k1_xxreal_0 ) ) ) ) ) ) )).
fof(d8_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k4_rlvect_1(A,B) = k1_finsop_1(u1_struct_0(A),B,u1_algstr_0(A)) ) ) )).
fof(d8_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k8_gate_5(A,B,C,D,E) = k37_gate_1(k2_gate_1(B,D),k2_gate_1(A,E),k2_gate_1(C,D),k2_gate_1(B,E),k1_xboole_0,k2_gate_1(C,E),k1_xboole_0) )).
fof(d8_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m2_gcd_1(B,A) <=> ( m1_gcd_1(B,A) & r2_tarski(k5_struct_0(A),B) ) ) ) ) )).
fof(d8_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) => ( B = k6_geomtrap(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),B,C,D) = k1_geomtrap(A,C,D) ) ) ) ) ) )).
fof(d8_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k8_gfacirc1(A,B,C) = k3_circcomb(k5_gfacirc1(A,B,C),k5_circcomb(k4_facirc_1,k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1))),k6_gfacirc1(A,B,C),k7_facirc_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1),k4_facirc_1)) )).
fof(d8_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m2_subset_1(E,u1_struct_0(k5_gfacirc2(B,C,D)),k3_msafree2(k5_gfacirc2(B,C,D))) => ( E = k8_gfacirc2(A,B,C,D) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(F,1) & E = k24_gfacirc1(k1_funct_1(C,A),k1_funct_1(D,A),k7_gfacirc2(F,C,D)) ) ) ) ) ) ) ) ) )).
fof(d8_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => k8_glib_000(A) = k1_funct_1(A,k3_glib_000) ) )).
fof(d8_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => ( v1_abian(C) | k5_glib_001(A,B,C) = k1_funct_1(B,C) ) ) & ( ~ ( ~ v1_abian(C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => k5_glib_001(A,B,C) = k3_glib_001(A,B) ) ) ) ) ) )).
fof(d8_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)))) ) => ( B = k3_glib_002(A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,k6_glib_000(A)) & C = k1_glib_002(A,D) ) ) ) ) ) )).
fof(d8_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => k6_glib_003(A) = k1_funct_1(A,k3_glib_003) ) )).
fof(d8_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) => ( ( k6_glib_004(A,B) = k1_xboole_0 => k7_glib_004(A,B) = B ) & ( k6_glib_004(A,B) != k1_xboole_0 => k7_glib_004(A,B) = k4_tarski(k1_funct_4(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B),k17_funcop_1(k1_funct_1(k11_glib_000(A),o_2_0_glib_004(A,B)),k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B),k1_funct_1(k10_glib_000(A),o_2_0_glib_004(A,B))),k1_funct_1(k5_glib_003(A),o_2_0_glib_004(A,B))))),k2_xboole_0(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),B),k1_tarski(o_2_0_glib_004(A,B)))) ) ) ) ) )).
fof(d8_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m3_glib_001(C,A) => ( r5_glib_005(A,B,C) <=> ! [D] : ( ( v7_ordinal1(D) & ~ v1_abian(D) ) => ( ~ r1_xxreal_0(k3_finseq_1(C),D) => ( ~ ( r2_glib_000(A,k1_funct_1(C,D),k1_funct_1(C,k1_nat_1(D,2)),k1_funct_1(C,k1_nat_1(D,1))) & r1_xxreal_0(k1_funct_1(k5_glib_003(A),k1_funct_1(C,k1_nat_1(D,1))),k1_funct_1(B,k1_funct_1(C,k1_nat_1(D,1)))) ) & ~ ( ~ r2_glib_000(A,k1_funct_1(C,D),k1_funct_1(C,k1_nat_1(D,2)),k1_funct_1(C,k1_nat_1(D,1))) & r1_xxreal_0(k1_funct_1(B,k1_funct_1(C,k1_nat_1(D,1))),k5_numbers) ) ) ) ) ) ) ) ) )).
fof(d8_gobrd13,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( v7_ordinal1(D) => ( r3_gobrd13(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(C)) & k7_partfun1(A,B,D) = k3_matrix_0(A,C,E,F) & k7_partfun1(A,B,k1_nat_1(D,1)) = k3_matrix_0(A,C,G,H) & ~ ( E = G & k1_nat_1(F,1) = H & r2_hidden(k4_tarski(G,k1_nat_1(H,1)),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,G,k1_nat_1(H,1)) ) & ~ ( k1_nat_1(E,1) = G & F = H & r2_hidden(k4_tarski(k1_nat_1(G,1),H),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,k1_nat_1(G,1),H) ) & ~ ( E = k1_nat_1(G,1) & F = H & r2_hidden(k4_tarski(k7_nat_d(G,1),H),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,k7_nat_d(G,1),H) ) & ~ ( E = G & F = k1_nat_1(H,1) & r2_hidden(k4_tarski(G,k7_nat_d(H,1)),k2_matrix_0(C)) & k7_partfun1(A,B,k1_nat_1(D,2)) = k3_matrix_0(A,C,G,k7_nat_d(H,1)) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => k5_goedcpuc(A,B) = k1_funct_1(o_2_0_goedcpuc(A,B),k1_nat_1(B,1)) ) ) )).
fof(d8_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => k6_goedelcp(A,B) = k3_tarski(a_2_0_goedelcp(A,B)) ) ) )).
fof(d8_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( v3_graph_1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,u4_struct_0(A)) & r2_tarski(C,u4_struct_0(A)) ) => ( ( ~ ( k1_funct_1(u1_graph_1(A),B) = k1_funct_1(u1_graph_1(A),C) & k1_funct_1(u2_graph_1(A),B) = k1_funct_1(u2_graph_1(A),C) ) & ~ ( k1_funct_1(u1_graph_1(A),B) = k1_funct_1(u2_graph_1(A),C) & k1_funct_1(u1_graph_1(A),C) = k1_funct_1(u2_graph_1(A),B) ) ) | B = C ) ) ) ) )).
fof(d8_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_graph_1(B,A) => ( ( k1_card_1(u1_struct_0(A)) = 1 | ( B != k1_xboole_0 & ~ r2_graph_2(A,B) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( C = k6_graph_2(A,B) <=> r1_graph_2(A,C,B) ) ) ) ) ) )).
fof(d8_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_finseq_2(B,u4_struct_0(A)) => ( B = k9_graph_3(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v2_funct_1(C) & v1_msscyc_1(C,A) & m2_graph_1(C,A) ) ) ) ) ) )).
fof(d8_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_graph_5(A,B,C) = a_3_1_graph_5(A,B,C) ) ) ) )).
fof(d8_graphsp,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k3_finseq_2(k1_numbers)) => ! [B] : ( v7_ordinal1(B) => k12_graphsp(A,B) = a_2_1_graphsp(A,B) ) ) )).
fof(d8_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [F] : ( m2_ideal_1(F,k12_polynom1(A,C),E) => ( r4_groeb_2(A,B,C,D,E,F) <=> r3_groeb_2(A,B,C,D,E,F,k3_termord(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(d8_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(k5_numbers,C) => k5_group_1(A,B,C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k1_int_2(C)) ) & ( ~ r1_xxreal_0(k5_numbers,C) => k5_group_1(A,B,C) = k2_group_1(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k1_int_2(C))) ) ) ) ) ) )).
fof(d8_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_group_2(A,C),k15_group_2(A,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_group_2(A,C),k15_group_2(A,C)))) ) => ( E = k8_group_10(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k15_group_2(A,C)) => ? [G] : ( m1_subset_1(G,k15_group_2(A,C)) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & G = k1_funct_1(E,F) & I = k4_group_2(A,J,H) & H = F & I = G & J = D ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ( m1_group_19(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)) & v1_group_6(D,k3_group_7(A,C),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)))) & v3_funct_2(D,u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)) ) ) ) ) ) )).
fof(d8_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k7_group_2(A) = g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) ) )).
fof(d8_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_group_3(A,B) = k5_group_3(A,k8_group_2(A,k7_group_2(A)),B) ) ) )).
fof(d8_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => k7_group_4(A,B,C) = k2_group_2(A,k8_group_2(A,B),k8_group_2(A,C)) ) ) ) )).
fof(d8_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => k8_group_5(A,B,C) = k7_group_5(A,k8_group_2(A,B),k8_group_2(A,C)) ) ) ) )).
fof(d8_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k5_group_6(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_group_6(A,B))))) ) => ( C = k8_group_6(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_group_6(A,B)),C,D) = k13_group_2(A,B,D) ) ) ) ) ) )).
fof(d8_group_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( v4_group_7(B,A) <=> ! [C] : ( m1_subset_1(C,A) => v5_group_1(k1_group_7(A,B,C)) ) ) ) ) )).
fof(d8_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v2_group_9(C,A) & m1_group_9(C,A,B) ) => ( C = k4_group_9(A,B) <=> u1_struct_0(C) = k1_tarski(k1_group_1(B)) ) ) ) )).
fof(d8_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_hahnban1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,k3_vectsp_1(A,B,E,D)) = k6_algstr_0(A,E,k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,D)) ) ) ) ) ) ) )).
fof(d8_hallmar1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ( v2_relat_1(B) => ! [C] : ( m2_hallmar1(C,A,B) => ( m4_hallmar1(C,A,B) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => k1_card_1(k1_funct_1(C,D)) = 1 ) ) ) ) ) ) ) )).
fof(d8_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( D = k3_hermitan(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(k1_complfld),D,E,F) = k2_complfld(k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(k1_complfld),C,E,F)) ) ) ) ) ) ) ) )).
fof(d8_heyting1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))))) ) => ( B = k8_heyting1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => k3_funct_2(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),B,C) = k9_normform(A,k6_heyting1(A,k3_heyting1(A,C))) ) ) ) )).
fof(d8_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B))))) ) => ( C = k8_heyting2(A,B) <=> ! [D] : ( m1_subset_1(D,k4_partfun1(A,B)) => k3_funct_2(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B)),C,D) = k3_substlat(A,B,k2_setwiseo(k4_partfun1(A,B),D)) ) ) ) ) )).
fof(d8_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k3_hilbert1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1,1),A),B) ) ) )).
fof(d8_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v3_hilbert2(A) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k1_hilbert2(B) ) ) ) )).
fof(d8_hilbert3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v2_hilbert3(A) <=> ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( m1_hilbert3(C,B) => ? [D] : r1_abian(D,k5_hilbert3(B,C,A)) ) ) ) ) )).
fof(d8_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k1_hilbert1) & v1_funct_1(B) & v1_partfun1(B,k1_hilbert1) ) => ( B = k9_hilbert4(A) <=> ( k1_funct_1(B,k2_hilbert1) = 1 & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k1_funct_1(B,k1_hilbert2(C)) = k1_funct_1(A,C) ) & ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( k1_funct_1(B,k4_hilbert1(C,D)) = k2_zfmisc_1(k1_funct_1(B,C),k1_funct_1(B,D)) & k1_funct_1(B,k3_hilbert1(C,D)) = k1_funct_2(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(d8_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v2_bintree1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ! [C] : ( v7_ordinal1(C) => k8_huffman1(A,B,C) = k6_trees_4(k4_tarski(C,k2_xcmplx_0(k5_huffman1(A),k5_huffman1(B))),A,B) ) ) ) )).
fof(d8_hurwitz,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( v1_hurwitz(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ~ ( r1_polynom5(k1_complfld,A,B) & r1_xxreal_0(k5_numbers,k3_complex1(B)) ) ) ) ) )).
fof(d8_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( B = k5_series_1(2,A) => k8_idea_1(A,B) = k5_numbers ) & ( B != k5_series_1(2,A) => k8_idea_1(A,B) = B ) ) ) ) )).
fof(d8_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( m1_ideal_1(C,A,B) <=> ! [D] : ~ ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m2_subset_1(G,u1_struct_0(A),B) => k7_partfun1(u1_struct_0(A),C,D) != k6_algstr_0(A,k6_algstr_0(A,E,G),F) ) ) ) ) ) ) ) ) )).
fof(d8_incproj,axiom,( ! [A] : ( l1_incsp_1(A) => ( v4_incproj(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ~ ( r1_incsp_1(A,B,H) & r1_incsp_1(A,C,H) & r1_incsp_1(A,D,I) & r1_incsp_1(A,E,I) & r1_incsp_1(A,F,H) & r1_incsp_1(A,F,I) & r1_incsp_1(A,B,J) & r1_incsp_1(A,D,J) & r1_incsp_1(A,C,K) & r1_incsp_1(A,E,K) & ~ r1_incsp_1(A,F,J) & ~ r1_incsp_1(A,F,K) & H != I & ! [L] : ( m1_subset_1(L,u1_incsp_1(A)) => ~ ( r1_incsp_1(A,L,J) & r1_incsp_1(A,L,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ( v5_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & C != D & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),C,D),B) ) ) ) ) ) )).
fof(d8_index_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ( ( v2_index_1(E,A,B) & m1_index_1(E,A,B) ) => ( m3_index_1(E,A,B,C,D) <=> m2_index_1(k2_xfamily(E),B,k3_relat_1(C,k1_xfamily(E)),k3_relat_1(D,k1_xfamily(E))) ) ) ) ) ) ) )).
fof(d8_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_int_1(A) = k6_xcmplx_0(A,k1_int_1(A)) ) )).
fof(d8_int_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v1_int_3(A) <=> ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( D != k4_struct_0(A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( C = k1_algstr_0(A,k6_algstr_0(A,E,D),F) & ~ ( F != k4_struct_0(A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k4_ordinal1,B,D),k3_funct_2(u1_struct_0(A),k4_ordinal1,B,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r4_integr10(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k4_integr10(A,B) <=> ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,D) = k1_limfunc1(B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k1_relset_1(k1_numbers,D)) => k1_funct_1(D,E) = k4_integra5(E,B,A) ) ) & v6_limfunc1(D) & C = k5_limfunc1(D) ) ) ) ) ) ) )).
fof(d8_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( m4_integr15(E,A,B,C,D) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) => ( F = k6_integr15(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k4_ordinal1) => k1_normsp_0(k4_real_ns1(A),F,G) = k4_integr15(A,B,C,k2_integra2(B,D,G),k5_integr15(A,B,C,D,E,G)) ) ) ) ) ) ) ) ) )).
fof(d8_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => k7_integr16(A,B) = k2_xcmplx_0(k2_integra5(A,k5_comseq_3(k1_numbers,B)),k3_xcmplx_0(k2_integra5(A,k6_comseq_3(k1_numbers,B)),k7_complex1)) ) ) )).
fof(d8_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r1_tarski(B,k1_relset_1(k1_numbers,C)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k5_integr18(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & E = k2_partfun1(k1_numbers,u1_struct_0(A),C,B) & D = k4_integr18(A,B,E) ) ) ) ) ) ) ) )).
fof(d8_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => k6_integra1(A,B,C) = k18_rvsum_1(k4_integra1(A,B,C)) ) ) ) )).
fof(d8_interva1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_interva1(B,A) <=> ? [C] : ? [D] : ( r2_tarski(C,B) & r2_tarski(D,B) & ! [E] : ( r2_tarski(E,B) <=> ( r1_tarski(C,E) & r1_tarski(E,D) ) ) ) ) ) )).
fof(d8_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,B,C) => ! [E] : ( m2_cat_1(E,B,C) => ( r2_nattra_1(B,C,D,E) => ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m2_nattra_1(G,B,C,D,E) => k5_isocat_1(A,B,C,D,E,F,G) = k3_isocat_1(A,B,C,D,E,F,G) ) ) ) ) ) ) ) ) )).
fof(d8_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,k6_cat_2(B,C)) => k10_isocat_2(A,B,C,D) = k9_cat_1(A,k6_cat_2(B,C),C,D,k13_cat_2(B,C)) ) ) ) ) )).
fof(d8_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) => ( r1_xxreal_0(k5_numbers,k18_euclid(B)) | k8_jgraph_4(A,B) = k1_rlvect_1(k15_euclid(2),k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A)),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k6_xcmplx_0(1,A))))))),k12_euclid(B)) ) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k5_numbers,k18_euclid(B)) & k8_jgraph_4(A,B) != k1_rlvect_1(k15_euclid(2),k19_euclid(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A)),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(B),k12_euclid(B)),A),k2_xcmplx_0(1,A))))))),k12_euclid(B)) ) & ~ ( ~ ( r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k5_numbers,k18_euclid(B)) ) & ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k5_numbers,k18_euclid(B)) ) & k8_jgraph_4(A,B) != B ) ) ) ) )).
fof(d8_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k8_jgraph_6(A,B,C) = a_3_3_jgraph_6(A,B,C) ) ) ) )).
fof(d8_jordan,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ( r2_tarski(C,k1_topreal9(A,B,D)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k7_toprealb(A,B,D)),u1_struct_0(k7_toprealb(A,B,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(A,B,D)),u1_struct_0(k7_toprealb(A,B,D))))) ) => ( E = k10_jordan(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k7_toprealb(A,B,D))) => ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) & F = G & k3_funct_2(u1_struct_0(k7_toprealb(A,B,D)),u1_struct_0(k7_toprealb(A,B,D)),E,F) = k3_brouwer(A,B,G,C,D) ) ) ) ) ) ) ) ) ) )).
fof(d8_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k8_jordan5d(A) <=> ( r2_hidden(k4_tarski(B,k1_matrix_0(k2_goboard2(A))),k2_matrix_0(k2_goboard2(A))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,k1_matrix_0(k2_goboard2(A))) = k21_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d8_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( B = k8_jordan6(A) <=> ( r1_topreal1(k15_euclid(2),k18_pscomp_1(A),k22_pscomp_1(A),B) & ? [C] : ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r1_topreal1(k15_euclid(2),k22_pscomp_1(A),k18_pscomp_1(A),C) & k9_subset_1(u1_struct_0(k15_euclid(2)),B,C) = k2_tarski(k18_pscomp_1(A),k22_pscomp_1(A)) & k4_subset_1(u1_struct_0(k15_euclid(2)),B,C) = A & ~ r1_xxreal_0(k18_euclid(k1_jordan5c(B,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k18_pscomp_1(A),k22_pscomp_1(A))),k18_euclid(k2_jordan5c(C,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k22_pscomp_1(A),k18_pscomp_1(A)))) ) ) ) ) ) ) )).
fof(d8_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_knaster(B,A) & v3_knaster(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) ) => ( C = k7_knaster(A,B) <=> ( u1_struct_0(C) = B & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & D = F & E = G & ( r3_lattices(C,D,E) => r3_lattices(A,F,G) ) & ( r3_lattices(A,F,G) => r3_lattices(C,D,E) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_kolmog01,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( m1_kolmog01(D,A,B,C) => k6_kolmog01(A,B,C,D) = k6_setfam_1(k9_setfam_1(B),k5_kolmog01(A,B,C,D)) ) ) ) )).
fof(d8_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_lang1(C) & l2_lang1(C) ) => ( C = k7_lang1(A,B) <=> ( u1_struct_0(C) = k2_tarski(A,B) & u2_lang1(C) = A & u1_lang1(C) = k1_tarski(k4_tarski(A,k9_finseq_1(B))) ) ) ) )).
fof(d8_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(C)) => ( E = k9_laplace(A,B,C,D) <=> ( k3_finseq_1(E) = A & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k8_group_1(C,k3_matrix_0(u1_struct_0(C),D,F,B),k6_laplace(F,B,A,C,D)) ) ) ) ) ) ) ) ) ) )).
fof(d8_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattad_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_lattices(A,B,D) & r1_lattices(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_lattices(A,B,E) & r1_lattices(A,C,E) ) => r1_lattices(A,D,E) ) ) ) ) ) ) ) )).
fof(d8_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattice3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r1_orders_2(A,C,D) ) ) ) ) ) )).
fof(d8_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => k2_lattice4(A,B) = k3_lattice2(u1_struct_0(A),A,B,k3_struct_0(A)) ) ) )).
fof(d8_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k1_lattice5(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k1_lattice5(A))))) ) => ( D = k4_lattice5(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( v1_partfun1(F,A) & v3_relat_2(F) & v8_relat_2(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & F = k3_funct_2(u1_struct_0(B),u1_struct_0(k1_lattice5(A)),D,E) & ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(k1_domain_1(A,A,G,H),F) <=> r3_orders_2(B,k3_lattice5(A,B,C,G,H),E) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_lattice6(B,A) <=> k3_lattice6(A,B) != B ) ) ) )).
fof(d8_lattice7,axiom,( ! [A] : ( m2_lattice7(A) <=> r1_cohsp_1(A,A) ) )).
fof(d8_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => k7_lattice8(A,B,C) = k3_lattice8(A,k7_lattice5(A,B,C)) ) ) ) )).
fof(d8_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_latticea(A,B) = a_2_2_latticea(A,B) ) ) )).
fof(d8_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v8_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,k2_lattices(A,B,C),C) = C ) ) ) ) )).
fof(d8_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v4_lfuzzy_1(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ~ ( k8_lfuzzy_0(A,A,B,C,D) != k5_numbers & k8_lfuzzy_0(A,A,B,D,C) != k5_numbers & C != D ) ) ) ) ) ) )).
fof(d8_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r4_limfunc2(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k2_limfunc2(A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = B & r1_tarski(k2_relset_1(k1_numbers,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) & k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,A)) = C ) ) ) ) ) ) ) ) )).
fof(d8_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_lopban_1(C,A,B) <=> ? [D] : ( v1_xreal_0(D) & r1_xxreal_0(k5_numbers,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)),k3_xcmplx_0(D,k2_normsp_0(A,E))) ) ) ) ) ) ) )).
fof(d8_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k9_lopban_2(A) = g1_lopban_2(k10_lopban_1(A,A),k5_lopban_2(A),k5_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),k6_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),k6_lopban_2(A),k7_rsspace(k8_lopban_1(A,A),k10_lopban_1(A,A)),k15_lopban_1(A,A)) ) )).
fof(d8_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v25_algstr_0(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k9_algstr_0(A,B) <=> ( k6_algstr_0(A,B,C) = k5_struct_0(A) & k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) ) ) )).
fof(d8_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_lopban_2(B) & l1_lopban_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( E = k7_lopban_4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,A) => k8_nat_1(u1_struct_0(B),E,F) = k6_algstr_0(B,k8_nat_1(u1_struct_0(B),k1_lopban_4(B,C),F),k8_nat_1(u1_struct_0(B),k1_bhsp_4(B,k1_lopban_4(B,D)),k7_nat_d(A,F))) ) & ( ~ r1_xxreal_0(F,A) => k8_nat_1(u1_struct_0(B),E,F) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(d8_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_pre_topc(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( B = k11_lopclset(A) <=> ( u1_struct_0(B) = k7_lopclset(A) & u1_pre_topc(B) = a_1_2_lopclset(A) ) ) ) ) )).
fof(d8_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k12_lpspacc1(A) = g1_clvect_1(k3_rfunct_3(A,k2_numbers),k10_lpspacc1(A),k9_lpspacc1(A),k8_lpspacc1(A)) ) )).
fof(d8_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k9_lpspace1(A,B,C) = a_3_0_lpspace1(A,B,C) ) ) ) )).
fof(d8_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k6_lpspace2(A,B,C,D),k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_lpspace2(A,B,C,D),k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)))) ) => ( E = k7_lpspace2(A,B,C,D) <=> ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) => ! [G] : ( m2_subset_1(G,k1_zfmisc_1(k1_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r2_tarski(H,F) & r2_tarski(I,G) ) => k4_binop_1(k6_lpspace2(A,B,C,D),E,F,G) = k5_lpspace2(A,B,C,k3_valued_1(A,k1_numbers,k1_numbers,H,I),D) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k8_ltlaxio1(A,B) = k5_ltlaxio1(B,k4_ltlaxio1(A,k4_hilbert1(A,B))) ) ) )).
fof(d8_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => k10_ltlaxio3(A) = k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k8_ltlaxio3(A)),k2_relset_1(k1_hilbert1,k9_ltlaxio3(A))) ) )).
fof(d8_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => k7_ltlaxio4(A) = a_1_4_ltlaxio4(A) ) )).
fof(d8_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k8_mathmorp(A,B,C,D) = k4_subset_1(u1_struct_0(A),B,k7_mathmorp(A,B,C,D)) ) ) ) ) )).
fof(d8_matrix16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v4_matrix16(B,A) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( C = k2_matrix16(A,B) <=> r2_matrix16(A,C,B) ) ) ) ) ) )).
fof(d8_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,A) => ( D = k6_matrix_0(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => k1_funct_1(D,E) = k3_matrix_0(A,B,E,C) ) ) ) ) ) ) ) ) )).
fof(d8_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v2_matrix_1(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => ( r1_xxreal_0(D,E) | k3_matrix_0(u1_struct_0(B),C,D,E) = k4_struct_0(B) ) ) ) ) ) ) ) ) )).
fof(d8_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_matrix_1(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A),u1_struct_0(B)))) ) => ( D = k11_matrix_3(A,B,C) <=> ! [E] : ( m1_matrix_1(E,k9_matrix_1(A)) => k3_funct_2(k9_matrix_1(A),u1_struct_0(B),D,E) = k11_matrix_1(B,A,k1_finsop_1(u1_struct_0(B),k10_matrix_3(A,B,C,E),u2_algstr_0(B)),E) ) ) ) ) ) ) )).
fof(d8_matrix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_matrix_5(A,B) = k2_matrix_5(k1_matrix_3(k1_complfld,A,B)) ) ) )).
fof(d8_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k9_matrixc1(A) = A ) )).
fof(d8_matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v2_matrixj1(C,u1_struct_0(A)) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( C = k23_matrixj1(A,B) <=> ( k4_finseq_1(C) = k4_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k14_matrixj1(u1_struct_0(A),C,D) = k3_matrix_1(A,k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(d8_matrixr1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_matrixr1(A,B) = k2_matrixr1(k1_matrix_3(k2_vectsp_1,A,B)) ) ) )).
fof(d8_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ! [F] : ( m1_matrlin(F,A,C) => ! [G] : ( ( v1_matrix_0(G) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(A))) ) => ( G = k10_matrlin(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = k3_finseq_1(E) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k9_xtuple_0(E)) => k9_pre_poly(u1_struct_0(A),k4_ordinal1,k3_finseq_2(u1_struct_0(A)),G,H) = k9_matrlin(A,C,F,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k7_partfun1(u1_struct_0(B),E,H))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_matroid0,axiom,( ! [A] : ! [B] : ( ( v1_pre_topc(B) & l1_pre_topc(B) ) => ( B = k2_matroid0(A) <=> ( u1_struct_0(B) = k3_tarski(A) & k1_matroid0(B) = a_1_0_matroid0(A) ) ) ) )).
fof(d8_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => k4_measure6(A) = a_1_0_measure6(A) ) )).
fof(d8_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_numbers)) => ( B = k8_measure7(A) <=> ! [C] : ( m1_subset_1(C,k6_numbers) => ( r2_tarski(C,B) <=> ? [D] : ( m1_measure7(D,A) & C = k6_measure7(A,D) ) ) ) ) ) ) )).
fof(d8_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_setfam_1(A),k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k6_numbers))) ) => ( D = k6_measure8(A,B,C) <=> ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => k12_supinf_2(D,E) = k7_supinf_2(k5_measure8(A,B,C,E)) ) ) ) ) ) )).
fof(d8_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k11_member_1(A,B) = k9_member_1(A,k5_member_1(B)) ) ) )).
fof(d8_membered,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( r1_tarski(A,B) <=> ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r2_hidden(C,B) ) ) ) ) )).
fof(d8_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( l1_memstr_0(B,A) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => k6_memstr_0(A,B,C) = k5_relat_1(C,k8_struct_0(B)) ) ) ) )).
fof(d8_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k8_mesfun7c(A,B) = k7_mesfunc8(A,k1_mesfun7c(A,B)) ) ) )).
fof(d8_mesfunc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( D = k8_mesfunc1(A,B,C) <=> ( k9_xtuple_0(D) = k6_subset_1(k9_xtuple_0(B),k8_relat_1(B,k1_tarski(k1_supinf_2))) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k9_xtuple_0(D)) => k12_supinf_2(D,E) = k2_extreal1(C,k12_supinf_2(B,E)) ) ) ) ) ) ) ) ) )).
fof(d8_mesfunc5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v7_mesfunc5(A) <=> ? [B] : ( v1_xreal_0(B) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k3_extreal1(k3_xxreal_3(k8_nat_1(k6_numbers,A,E),B))) ) ) ) ) ) ) ) )).
fof(d8_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k6_mesfunc8(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k12_supinf_2(C,D) = k5_rinfsup2(k3_mesfunc5(A,B,D)) ) ) ) ) ) ) ) )).
fof(d8_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( v8_metric_1(A) <=> v4_metric_1(u1_metric_1(A),u1_struct_0(A)) ) ) )).
fof(d8_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => k5_metric_2(A) = a_1_1_metric_2(A) ) )).
fof(d8_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => k6_midsp_1(A) = a_1_0_midsp_1(A) ) )).
fof(d8_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k15_midsp_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k15_midsp_1(A))))) ) => ( B = k5_midsp_2(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(k15_midsp_1(A)),B,C,D) = k8_midsp_1(A,C,D) ) ) ) ) ) )).
fof(d8_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( ( v4_midsp_2(C,B) & l1_midsp_2(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ( F = k7_midsp_3(A,B,C,D,E) <=> ! [G] : ( m1_midsp_3(G,A) => k5_midsp_3(A,u1_struct_0(B),F,G) = k10_midsp_2(B,C,D,k5_midsp_3(A,u1_struct_0(u1_midsp_2(B,C)),E,G)) ) ) ) ) ) ) ) ) )).
fof(d8_mmlquer2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : k6_mmlquer2(A,B) = k1_setfam_1(k8_relat_1(A,k1_tarski(B))) ) )).
fof(d8_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => k8_mmlquery(A,B,C,D) = a_4_3_mmlquery(A,B,C,D) ) ) ) )).
fof(d8_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v3_mod_2(D,A) & l1_mod_2(D,A) ) => ( m1_mod_2(D,A,B,C) <=> ( k2_mod_2(A,D) = B & k3_mod_2(A,D) = C ) ) ) ) ) ) )).
fof(d8_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_mod_4(C,A,B) <=> ( v1_ringcat1(C,A,B) & v2_funct_1(C) ) ) ) ) ) )).
fof(d8_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => k10_modal_1(A) = k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers)),k14_trees_3(k5_numbers),A) ) )).
fof(d8_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( m4_modcat_1(C,A,k4_modcat_1(A,B)) => k5_modcat_1(A,B,C) = k2_mod_2(A,C) ) ) ) )).
fof(d8_modelc_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k8_modelc_1(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,1),A),B) ) ) )).
fof(d8_modelc_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k8_modelc_2(A,B) = k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,5),A),B) ) ) )).
fof(d8_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => ! [C] : ( l1_modelc_3(C,A) => ( r3_modelc_3(A,B,C) <=> ? [D] : ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) & r2_tarski(D,u2_modelc_3(A,B)) & ~ ( ~ v5_modelc_2(D) & ~ v7_modelc_2(D) & ~ v8_modelc_2(D) ) & C = k6_modelc_3(A,B,D) ) ) ) ) ) )).
fof(d8_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) ) => ( B = k8_moebius2(A) <=> ( k13_pre_poly(B) = k22_pre_poly(k8_newton,k12_nat_3(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k22_pre_poly(k8_newton,k12_nat_3(A))) => k1_funct_1(B,C) = k1_newton(C,k2_nat_1(2,k3_nat_d(k11_nat_3(A,C),2))) ) ) ) ) ) ) )).
fof(d8_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v8_monoid_0(B,A) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ( k4_binop_1(A,B,C,D) = k4_binop_1(A,B,C,E) | k4_binop_1(A,B,D,C) = k4_binop_1(A,B,E,C) ) => D = E ) ) ) ) ) ) ) )).
fof(d8_monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(C)))) ) => ( E = k19_monoid_1(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B))) => k3_funct_2(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(C),E,F) = k7_relset_1(k2_zfmisc_1(A,B),C,D,k2_zfmisc_1(k2_domain_1(k1_zfmisc_1(A),k1_zfmisc_1(B),F),k3_domain_1(k1_zfmisc_1(A),k1_zfmisc_1(B),F))) ) ) ) ) ) ) ) )).
fof(d8_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k5_msafree(A,B) = g1_lang1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k4_msafree(A,B)) ) ) )).
fof(d8_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k5_msafree2(A,B) = k11_msafree(A,u3_msualg_1(A,B)) ) ) )).
fof(d8_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( v7_msafree4(C,A,B) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( r2_tarski(E,k3_msualg_1(A,D,k1_msafree3(A,B))) & r2_tarski(k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),E),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),k2_msualg_1(A,D))) ) => ( r2_tarski(E,k3_msualg_1(A,D,C)) & k1_funct_1(k5_msualg_1(A,D,C),E) = k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),E) ) ) ) ) ) ) ) ) )).
fof(d8_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( m4_msaterm(C,A,B) <=> r5_pboole(u1_struct_0(A),C,u3_msualg_1(A,B)) ) ) ) ) )).
fof(d8_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v7_struct_0(B) & ~ v11_struct_0(B) & v1_msualg_1(B) & v5_msualg_1(B) & l1_msualg_1(B) ) => ( B = k6_msualg_1(A) <=> ( u1_struct_0(B) = k1_tarski(k5_numbers) & u4_struct_0(B) = k4_finseq_1(k1_unialg_1(A)) & u1_msualg_1(B) = k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k3_finseq_2(k1_tarski(k5_numbers)),k1_unialg_1(A),k7_finseq_2(k5_numbers)) & u2_msualg_1(B) = k8_funcop_1(k4_ordinal1,k4_finseq_1(k1_unialg_1(A)),k5_numbers) ) ) ) ) )).
fof(d8_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( m2_pboole(D,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),C)),k3_relat_1(u2_msualg_1(A),C)) => ( D = k4_msualg_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k1_funct_1(D,E) = k3_msualg_2(A,B,E,C) ) ) ) ) ) ) )).
fof(d8_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r2_msualg_3(A,B,C,D) <=> ( r1_msualg_3(A,B,C,D) & v2_msualg_3(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) ) ) ) ) ) )).
fof(d8_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)))) ) => ( E = k7_msualg_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),k2_msualg_1(A,B))) => k1_funct_1(E,F) = k3_msualg_4(A,C,D,k2_msualg_1(A,B),F) ) ) ) ) ) ) ) )).
fof(d8_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v3_msualg_6(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r1_msualg_6(A,D,E,B,F) => ! [G] : ! [H] : ( r2_hidden(k4_tarski(G,H),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D)) => r2_hidden(k4_tarski(k1_funct_1(F,G),k1_funct_1(F,H)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E)) ) ) ) ) ) ) ) ) ) )).
fof(d8_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_mycielsk(B,A) => ( B = k5_mycielsk(A) <=> u1_orders_2(B) = k6_subset_1(k2_zfmisc_1(A,A),k4_relat_1(A)) ) ) ) )).
fof(d8_nagata_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k9_funct_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(A,B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( D = k4_nagata_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,B,D,E) = k1_funct_1(k3_funct_2(A,k9_funct_2(A,B),C,E),E) ) ) ) ) ) ) )).
fof(d8_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) ) => ( B = k12_nat_3(A) <=> ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => k1_funct_1(B,C) = k11_nat_3(A,C) ) ) ) ) )).
fof(d8_nat_lat,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat))) ) => ( A = k8_nat_lat <=> ! [B] : ( m2_subset_1(B,k4_ordinal1,k6_nat_lat) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k6_nat_lat) => k4_binop_1(k6_nat_lat,A,B,C) = k6_nat_d(B,C) ) ) ) ) )).
fof(d8_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r2_nattra_1(A,B,C,D) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ( m2_nattra_1(E,A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k2_cat_1(A,F,G) != k1_xboole_0 => ! [H] : ( m1_cat_1(H,A,F,G) => k5_cat_1(B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,C,G),k8_cat_1(A,B,D,G),k9_cat_3(A,F,G,B,C,H),k2_nattra_1(A,B,C,D,E,G)) = k5_cat_1(B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,D,F),k8_cat_1(A,B,D,G),k2_nattra_1(A,B,C,D,E,F),k9_cat_3(A,F,G,B,D,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_ncfcont1(A,B,C) <=> ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),D),k1_relset_1(u1_struct_0(A),B)) & v9_clvect_1(D,A) & k7_clvect_1(A,D) = C ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k2_numbers,u1_struct_0(A),D,B)) & k7_partfun1(k2_numbers,B,C) = k3_comseq_2(k8_funct_2(k4_ordinal1,k2_numbers,u1_struct_0(A),D,B)) ) ) ) ) ) ) ) ) )).
fof(d8_ndiff_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_ndiff_1(A,B,C,D) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,A) => r1_ndiff_1(B,C,k2_partfun1(u1_struct_0(B),u1_struct_0(C),D,A),E) ) ) ) ) ) ) ) )).
fof(d8_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( r2_ndiff_5(A,B,C,D,E) <=> ( r1_tarski(E,k1_relset_1(u1_struct_0(k14_prvect_2(A)),D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k14_prvect_2(A))) => ( r2_tarski(F,E) => r1_ndiff_5(A,B,C,k2_partfun1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B),D,E),F) ) ) ) ) ) ) ) )).
fof(d8_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( r3_ndiff_7(A,B,C,D,E) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(k7_prvect_3(A,B)),E)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k7_prvect_3(A,B))) => ( r2_tarski(F,D) => r1_ndiff_7(A,B,C,F,k2_partfun1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C),E,D)) ) ) ) ) ) ) ) ) )).
fof(d8_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_orders_2(B) & l1_orders_2(B) ) => ( B = k3_necklace(A) <=> ( u1_struct_0(B) = u1_struct_0(A) & u1_orders_2(B) = k7_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k3_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_orders_2(A)),k6_partfun1(u1_struct_0(A))) ) ) ) ) )).
fof(d8_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ( k2_net_1(A) != k1_xboole_0 => ! [C] : ( C = k5_net_1(A,B) <=> ( ( r2_tarski(B,u1_struct_0(A)) => C = k1_tarski(B) ) & ( r2_tarski(B,u4_struct_0(A)) => C = k3_net_1(A,B) ) ) ) ) ) ) )).
fof(d8_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_int_2(B) & m1_subset_1(B,k4_ordinal1) ) => ( B = k10_newton(A) <=> A = k4_card_1(k9_newton(B)) ) ) ) )).
fof(d8_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( r4_nfcont_1(A,B,C) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r2_nfcont_1(A,k2_partfun1(u1_struct_0(A),k1_numbers,B,C),D) ) ) ) ) ) ) )).
fof(d8_normform,axiom,( ! [A] : k7_normform(A) = a_1_0_normform(A) )).
fof(d8_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k7_normsp_3(A,B,C) = k1_rlvect_3(B,k2_relset_1(u1_struct_0(B),C)) ) ) ) )).
fof(d8_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( C = k5_numpoly1(A,B) <=> ( k4_finseq_1(C) = k2_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_newton(D,A) ) ) ) ) ) ) ) )).
fof(d8_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v7_o_ring_1(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & v6_o_ring_1(C,A) & B = k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)) ) ) ) ) )).
fof(d8_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k10_openlatt(A,B) = a_2_1_openlatt(A,B) ) ) )).
fof(d8_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( D = k9_oppcat_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k3_funct_2(u4_struct_0(A),u4_struct_0(B),D,E) = k3_funct_2(u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B),C,k5_oppcat_1(A,E)) ) ) ) ) ) ) )).
fof(d8_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r2_orders_1(A,B) <=> ( r1_relat_2(A,B) & r8_relat_2(A,B) & r4_relat_2(A,B) ) ) ) )).
fof(d8_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_orders_2(A,B) = a_2_0_orders_2(A,B) ) ) )).
fof(d8_ordinal1,axiom,( ! [A] : ( v6_ordinal1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r3_xboole_0(B,C) ) ) )).
fof(d8_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( B = k4_ordinal5(A) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(k2_afinsq_1(A)) & k1_funct_1(C,k5_numbers) = k5_numbers & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_afinsq_1(A)) => k1_funct_1(C,k1_nat_1(D,1)) = k10_ordinal2(k1_funct_1(C,D),k1_funct_1(A,D)) ) ) ) ) ) ) )).
fof(d8_ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ( C = k6_ordinal6(A,B) <=> ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => k4_ordinal6(A,k2_ordinal1(A),C,D) = k12_ordinal2(B,D) ) ) ) ) ) ) )).
fof(d8_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v11_osalg_1(C,A) ) => ( C = k5_osafree(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k4_osafree(A,B,D) ) ) ) ) ) )).
fof(d8_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ( v8_osalg_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => v7_osalg_1(B,A) ) ) ) )).
fof(d8_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => k6_osalg_2(A,B) = a_2_0_osalg_2(A,B) ) ) )).
fof(d8_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v2_osalg_4(A) <=> ! [B] : ( m2_subset_1(B,k1_zfmisc_1(u1_struct_0(A)),k2_osalg_4(A)) => v1_waybel_0(B,A) ) ) ) )).
fof(d8_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k6_parsp_1(A) = k2_zfmisc_1(k2_zfmisc_1(k5_parsp_1(A),k5_parsp_1(A)),k2_zfmisc_1(k5_parsp_1(A),k5_parsp_1(A))) ) )).
fof(d8_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k6_partit1(A) = k1_tarski(A) ) )).
fof(d8_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r5_pboole(A,B,C) <=> ! [D] : ( r2_hidden(D,A) => r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) )).
fof(d8_pcomps_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v3_pcomps_1(A) <=> ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r1_pcomps_1(u1_struct_0(A),B) & k2_pcomps_1(k4_pcomps_1(u1_struct_0(A),B)) = u1_pre_topc(A) ) ) ) )).
fof(d8_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r1_pdiff_1(A,B,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_euclid(A),k1_euclid(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( E = k8_pdiff_1(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & ? [G] : ( m1_subset_1(G,u1_struct_0(k4_real_ns1(A))) & C = F & D = G & E = k3_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),F,G) ) ) ) ) ) ) ) ) ) )).
fof(d8_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r3_pdiff_3(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k4_pdiff_3(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k10_finseq_1(D,E) & ? [F] : ( m1_rcomp_1(F,D) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(G,1) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B),I),k1_funct_1(k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B),D)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,D)),k1_funct_1(H,k6_xcmplx_0(I,D))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_pdiff_4,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => k5_pdiff_4(A) = k1_euclid_8(k7_xcmplx_0(k1_funct_1(A,1),k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A,1)),k1_square_1(k1_funct_1(A,2))),k1_square_1(k1_funct_1(A,3))))),k7_xcmplx_0(k1_funct_1(A,2),k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A,1)),k1_square_1(k1_funct_1(A,2))),k1_square_1(k1_funct_1(A,3))))),k7_xcmplx_0(k1_funct_1(A,3),k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k1_funct_1(A,1)),k1_square_1(k1_funct_1(A,2))),k1_square_1(k1_funct_1(A,3)))))) ) )).
fof(d8_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r8_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,D) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,k1_pdiff_3(3,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(3,3,A),B),I),k1_funct_1(k1_pdiff_2(3,2,k1_pdiff_3(3,3,A),B),D)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,D)),k1_funct_1(H,k6_xcmplx_0(I,D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r4_pdiff_9(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k6_xcmplx_0(k3_finseq_1(C),1)) => r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(E,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),E)) ) ) ) ) ) ) )).
fof(d8_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v7_pencil_1(A) <=> ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_pencil_1(A,B,C) ) ) ) ) )).
fof(d8_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_petri(B,A) <=> m1_subset_1(k6_petri(A,B),k1_zfmisc_1(k7_petri(A,B))) ) ) ) )).
fof(d8_petri_3,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_zfmisc_1(k10_xtuple_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(k10_xtuple_0(B))))) ) => ! [D] : ( m1_petri_3(D,A,B) => ( r1_petri_3(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,A) => k1_msafree4(A,C,E) = a_4_0_petri_3(A,B,D,E) ) ) ) ) ) ) )).
fof(d8_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_finseq_1(B,k2_net_1(A)) => ( v2_petri_df(B,A) <=> ( r1_xxreal_0(3,k3_finseq_1(B)) & k4_nat_d(k3_finseq_1(B),2) = 1 & ! [C] : ( v7_ordinal1(C) => ( k4_nat_d(C,2) = 1 => ( r1_xxreal_0(k3_finseq_1(B),k1_nat_1(C,1)) | ( r2_hidden(k4_tarski(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,1))),u1_petri(A)) & r2_hidden(k4_tarski(k1_funct_1(B,k1_nat_1(C,1)),k1_funct_1(B,k1_nat_1(C,2))),u2_petri(A)) ) ) ) ) & r2_tarski(k1_funct_1(B,k3_finseq_1(B)),u1_struct_0(A)) ) ) ) ) )).
fof(d8_pnproc_1,axiom,( ! [A] : ! [B] : ( m1_pnproc_1(B,A) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k7_pnproc_1(A,B) <=> ( k9_xtuple_0(C) = k9_funct_2(A,k4_ordinal1) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => k1_funct_1(C,D) = k6_pnproc_1(A,D,B) ) ) ) ) ) )).
fof(d8_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) = k5_numbers => ( E = k8_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & H = k1_polyeq_5(2,k6_xcmplx_0(k1_newton(F,2),G)) & E = k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k2_xcmplx_0(F,H))))),k7_xcmplx_0(D,4)) ) ) ) ) ) & ( k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)) != k5_numbers => ( E = k8_polyeq_5(A,B,C,D) <=> ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & ? [I] : ( v1_xcmplx_0(I) & ? [J] : ( v1_xcmplx_0(J) & ? [K] : ( v1_xcmplx_0(K) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(3,k1_newton(D,2))),32) & G = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,B),k3_xcmplx_0(k3_xcmplx_0(4,C),D)),k1_newton(D,3)),64) & H = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,A),k3_xcmplx_0(k3_xcmplx_0(64,D),B)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(D,2)),C)),k3_xcmplx_0(3,k1_newton(D,4))),1024) & I = k1_polyeq_5(2,k2_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & J = k1_polyeq_5(2,k3_polyeq_5(k4_xcmplx_0(k1_newton(G,2)),k6_xcmplx_0(k1_newton(F,2),H),k3_xcmplx_0(2,F))) & K = k4_xcmplx_0(k7_xcmplx_0(G,k3_xcmplx_0(I,J))) & E = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(I,J),K),k7_xcmplx_0(D,4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => k8_polyform(A,B) = k4_card_1(k5_polyform(A,B)) ) ) )).
fof(d8_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => k8_polynom1(A,B) = k8_funcop_1(u1_struct_0(B),k15_pre_poly(A),k4_struct_0(B)) ) )).
fof(d8_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => k10_polynom3(A) = k14_funct_7(k4_ordinal1,u1_struct_0(A),k9_polynom3(A),k5_numbers,k5_struct_0(A)) ) )).
fof(d8_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_polynom5(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_polynom5(A,B,C) ) ) ) ) )).
fof(d8_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k4_polynom7(A,B,C) = k14_funct_7(k15_pre_poly(A),u1_struct_0(B),k8_polynom1(A,B),k16_pre_poly(A),C) ) ) )).
fof(d8_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( D = k6_polynom8(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,B) & r1_xxreal_0(1,F) & r1_xxreal_0(F,B) ) => k3_matrix_0(u1_struct_0(A),D,E,F) = k2_polynom8(A,C,k3_xcmplx_0(k6_xcmplx_0(E,1),k6_xcmplx_0(F,1))) ) ) ) ) ) ) ) ) )).
fof(d8_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r6_polyred(A,B,C,D,E) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & r4_polyred(A,B,C,D,E,F) ) ) ) ) ) ) ) )).
fof(d8_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => k6_poset_1(A,B) = g1_orders_2(k4_poset_1(A,B),k5_poset_1(A,B)) ) ) )).
fof(d8_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ! [G] : ( ( r2_hidden(F,C) => k8_poset_2(A,B,C,D,E,F,G) = k1_funct_1(D,F) ) & ( ( r2_hidden(F,A) & r2_hidden(G,B) ) => ( r2_hidden(F,C) | k8_poset_2(A,B,C,D,E,F,G) = k1_funct_1(E,k4_tarski(F,G)) ) ) & ~ ( ~ r2_hidden(F,C) & ~ ( ~ r2_hidden(F,C) & r2_hidden(F,A) & r2_hidden(G,B) ) & k8_poset_2(A,B,C,D,E,F,G) != B ) ) ) ) ) ) ) )).
fof(d8_pralg_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_partfun1(k3_finseq_2(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0))) => ( B = k8_pralg_1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ! [D] : ( v7_ordinal1(D) => ( D = k1_funct_1(A,C) => k1_funct_1(B,C) = k7_pralg_1(D) ) ) ) ) ) ) ) ) )).
fof(d8_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_pre_poly(A) <=> v1_finset_1(k13_pre_poly(A)) ) ) )).
fof(d8_prefer_1,axiom,( ! [A] : ( l2_prefer_1(A) => k6_prefer_1(A) = k2_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_prefer_1(A),u1_pcs_0(A)) ) )).
fof(d8_prob_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( m2_prob_1(C,A,B) <=> ( ! [D] : ( m1_prob_1(D,A,B) => r1_xxreal_0(k5_numbers,k3_funct_2(B,k1_numbers,C,D)) ) & k1_funct_1(C,A) = 1 & ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ( r1_xboole_0(D,E) => k3_funct_2(B,k1_numbers,C,k6_prob_1(A,B,D,E)) = k3_real_1(k3_funct_2(B,k1_numbers,C,D),k3_funct_2(B,k1_numbers,C,E)) ) ) ) & ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v2_prob_1(D) => ( v2_comseq_2(k8_prob_1(A,B,D,C)) & k1_seq_2(k8_prob_1(A,B,D,C)) = k1_funct_1(C,k3_prob_1(A,D)) ) ) ) ) ) ) ) ) )).
fof(d8_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m2_prob_1(D,A,k4_prob_4(A,B,C)) => ( D = k7_prob_4(A,B,C) <=> ! [E] : ( r2_tarski(E,B) => ! [F] : ( m2_prob_4(F,A,B,C) => k1_funct_1(D,k2_xboole_0(E,F)) = k1_funct_1(C,E) ) ) ) ) ) ) ) )).
fof(d8_projpl_1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ( B != C => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( D = k1_projpl_1(A,B,C) <=> r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) ) ) ) ) ) ) )).
fof(d8_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_prvect_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)))) ) => ( C = k12_prvect_1(A,B) <=> ! [D] : ( m1_subset_1(D,k4_card_3(A)) => ! [E] : ( m1_subset_1(E,k4_card_3(A)) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(A)) => k8_prvect_1(A,k4_binop_1(k4_card_3(A),C,D,E),F) = k4_binop_1(k1_funct_1(A,F),k9_prvect_1(A,B,F),k8_prvect_1(A,D,F),k8_prvect_1(A,E,F)) ) ) ) ) ) ) ) )).
fof(d8_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( m1_prvect_2(B,k4_prvect_2(A),k1_numbers) => ( B = k9_prvect_2(A) <=> ( k3_finseq_1(B) = k3_finseq_1(k4_prvect_2(A)) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(k4_prvect_2(A))) => r1_funct_2(k2_zfmisc_1(k1_numbers,k1_funct_1(k4_prvect_2(A),C)),k1_funct_1(k4_prvect_2(A),C),k2_zfmisc_1(k1_numbers,u1_struct_0(k5_prvect_2(A,C))),u1_struct_0(k5_prvect_2(A,C)),k1_prvect_2(k4_prvect_2(A),k1_numbers,B,C),u1_rlvect_1(k5_prvect_2(A,C))) ) ) ) ) ) )).
fof(d8_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k7_pscomp_1(A) = k2_pscomp_1(k1_pre_topc(k15_euclid(2),A),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A)) ) )).
fof(d8_pua2mss1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [C] : ( m1_eqrel_1(C,A) => ( r1_pua2mss1(A,B,C) <=> ! [D] : ( m2_finseq_1(D,C) => ? [E] : ( m2_subset_1(E,k1_zfmisc_1(A),C) & r1_tarski(k7_relset_1(k3_finseq_2(A),A,B,k4_card_3(D)),E) ) ) ) ) ) ) )).
fof(d8_pythtrip,axiom,( ! [A] : ( m1_pythtrip(A) => ( v3_pythtrip(A) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & r2_tarski(B,A) & r2_tarski(C,A) & r1_int_2(B,C) ) ) ) ) )).
fof(d8_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k6_qc_lang1(A)) => ! [C] : ( v7_ordinal1(C) => ( C = k7_qc_lang1(A,B) <=> k1_xtuple_0(B) = k2_xcmplx_0(7,C) ) ) ) ) )).
fof(d8_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => k8_qc_lang2(A,B,C,D,E) = k15_qc_lang1(A,B,k6_qc_lang2(A,C,D,E)) ) ) ) ) ) )).
fof(d8_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => k5_qmax_1(A) = k2_zfmisc_1(k2_qmax_1(A),k12_prob_1) ) )).
fof(d8_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k8_quaterni(A,B) = k6_quaterni(A,k7_quaterni(B)) ) ) )).
fof(d8_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( B = k11_quofield(A) <=> ! [C] : ( m2_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ( r2_tarski(C,B) <=> k2_domain_1(u1_struct_0(A),u1_struct_0(A),C) = k4_struct_0(A) ) ) ) ) ) )).
fof(d8_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k9_radix_1(A,B,C) = k3_nat_d(k4_nat_d(C,k1_newton(k1_radix_1(B),A)),k11_newton(k1_radix_1(B),k7_nat_d(A,1))) ) ) ) )).
fof(d8_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,1)) & m2_finseq_1(D,k4_radix_3(B)) ) => ( D = k10_radix_3(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k2_xcmplx_0(A,1))) => k7_radix_3(E,B,k2_xcmplx_0(A,1),D) = k9_radix_3(E,B,A,C) ) ) ) ) ) ) ) )).
fof(d8_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(C)) ) => ( D = k8_radix_5(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k4_radix_1(E,C,A,D) = k7_radix_5(E,B,C) ) ) ) ) ) ) ) )).
fof(d8_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(B,2)) & m2_finseq_1(D,k3_radix_1(C)) ) => ( r2_hidden(A,k2_finseq_1(k2_xcmplx_0(B,2))) => ( ( ~ r1_xxreal_0(B,A) => k7_radix_6(A,B,C,D) = k1_funct_1(D,A) ) & ( r1_xxreal_0(B,A) => k7_radix_6(A,B,C,D) = k5_numbers ) ) ) ) ) ) ) )).
fof(d8_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k11_ranknull(A,B,C,D) = k1_vectsp_9(A,k1_ranknull(A,B,C,D)) ) ) ) ) )).
fof(d8_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & B = k4_tarski(C,D) ) ) ) ) )).
fof(d8_rcomp_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xreal_0(B) => k4_rcomp_1(A,B) = a_2_3_rcomp_1(A,B) ) ) )).
fof(d8_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( B = k8_real_3(A) <=> ( k8_nat_1(k1_numbers,B,k5_numbers) = k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,k1_nat_1(C,1)) = k2_xcmplx_0(k7_xcmplx_0(1,k8_nat_1(k1_numbers,B,C)),k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(C,1))) ) ) ) ) ) )).
fof(d8_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( C = k3_relat_1(A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ? [F] : ( r2_hidden(k4_tarski(D,F),A) & r2_hidden(k4_tarski(F,E),B) ) ) ) ) )).
fof(d8_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r8_relat_2(A,B) <=> ! [C] : ! [D] : ! [E] : ( ( r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(E,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,E),A) ) => r2_hidden(k4_tarski(C,E),A) ) ) ) )).
fof(d8_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r6_rewrite1(A,B,C) <=> ? [D] : ( r1_rewrite1(A,D,B) & r1_rewrite1(A,D,C) ) ) ) )).
fof(d8_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => k8_rewrite2(A,B,C) = a_3_0_rewrite2(A,B,C) ) ) )).
fof(d8_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ! [D] : ! [E] : k3_rewrite3(A,B,C,D,E) = a_5_0_rewrite3(A,B,C,D,E) ) ) ) )).
fof(d8_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( D = k17_rfunct_3(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(k1_funct_1(B,E),C) ) ) ) ) ) ) ) ) )).
fof(d8_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r8_rfunct_4(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => r7_rfunct_4(k2_partfun1(k1_numbers,k1_numbers,A,B),C) ) ) ) ) ) )).
fof(d8_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => k5_rinfsup2(A) = k2_rinfsup2(k4_rinfsup2(A)) ) )).
fof(d8_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ( r1_ringcat1(A,B) => ! [C] : ( ( v2_ringcat1(C) & v3_ringcat1(C) & l1_ringcat1(C) ) => ( m1_ringcat1(C,A,B) <=> ( k1_ringcat1(C) = A & k2_ringcat1(C) = B ) ) ) ) ) ) )).
fof(d8_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)))) ) => ( B = k6_rlsub_2(A) <=> ! [C] : ( m1_subset_1(C,k3_rlsub_2(A)) => ! [D] : ( m1_subset_1(D,k3_rlsub_2(A)) => ! [E] : ( m1_rlsub_1(E,A) => ! [F] : ( m1_rlsub_1(F,A) => ( ( C = E & D = F ) => k4_binop_1(k3_rlsub_2(A),B,C,D) = k2_rlsub_2(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d8_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rltopsp1(A) ) => ( v6_rltopsp1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r2_tarski(k1_algstr_0(A,B,C),D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(E,A) & v3_pre_topc(F,A) & r2_tarski(B,E) & r2_tarski(C,F) & r1_tarski(k6_rusub_4(A,E,F),D) ) ) ) ) ) ) ) ) ) )).
fof(d8_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ( v8_rlvect_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_rlvect_1(A,B,1) = B ) ) ) )).
fof(d8_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k6_rlvect_2(A,B) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(D) & k2_relset_1(u1_struct_0(A),D) = k3_rlvect_2(A,B) & C = k4_rlvect_1(A,k5_rlvect_2(A,D,B)) ) ) ) ) ) )).
fof(d8_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => ! [D] : ( m1_rmod_4(D,A,B) => ( r1_rmod_4(A,B,C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) ) ) ) ) ) ) )).
fof(d8_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & v7_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k6_lattices(A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B = k5_robbins1(A,C,k3_robbins1(A,C)) ) ) ) ) )).
fof(d8_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_roughs_2(A,B) = k3_subset_1(u1_struct_0(A),k3_roughs_1(A,k3_subset_1(u1_struct_0(A),B))) ) ) )).
fof(d8_rsspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlsub_1(B,A) => ( v1_xboole_0(B) | k5_rsspace(A,B) = k1_realset1(u1_algstr_0(A),B) ) ) ) ) )).
fof(d8_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k7_rsspace4(A,B,C) = a_3_0_rsspace4(A,B,C) ) ) ) )).
fof(d8_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)))) ) => ( B = k6_rusub_2(A) <=> ! [C] : ( m1_subset_1(C,k3_rusub_2(A)) => ! [D] : ( m1_subset_1(D,k3_rusub_2(A)) => ! [E] : ( m1_rusub_1(E,A) => ! [F] : ( m1_rusub_1(F,A) => ( ( C = E & D = F ) => k4_binop_1(k3_rusub_2(A),B,C,D) = k2_rusub_2(A,E,F) ) ) ) ) ) ) ) ) )).
fof(d8_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_rusub_4(A,B,C) = a_3_0_rusub_4(A,B,C) ) ) ) )).
fof(d8_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k12_rvsum_1(A) = k3_relat_1(A,k2_rvsum_1) ) )).
fof(d8_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k6_rvsum_3(A) = a_1_2_rvsum_3(A) ) )).
fof(d8_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( A = k4_tarski(k5_numbers,k5_numbers) => k10_scm_comp(A,B,C) = k2_xcmplx_0(B,C) ) & ( A = k4_tarski(k5_numbers,1) => k10_scm_comp(A,B,C) = k6_xcmplx_0(B,C) ) & ( A = k4_tarski(k5_numbers,2) => k10_scm_comp(A,B,C) = k3_xcmplx_0(B,C) ) & ( A = k4_tarski(k5_numbers,3) => k10_scm_comp(A,B,C) = k4_int_1(B,C) ) & ( A = k4_tarski(k5_numbers,4) => k10_scm_comp(A,B,C) = k5_int_1(B,C) ) ) ) ) ) )).
fof(d8_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => k4_scmfsa9a(A,B,C,D) = k2_scmfsa_9(k1_scmfsa_m(B),k4_scmfsa6a(C,k8_scmfsa_2(D,k4_scmfsa_2(k5_numbers))),D,A) ) ) ) ) )).
fof(d8_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( m2_subset_1(B,k1_scmfsa_1,k3_scmfsa_1) => ! [C] : ( m2_finseq_1(C,k4_numbers) => k8_scmfsa_1(A,B,C) = k1_funct_4(A,k17_funcop_1(B,C)) ) ) ) )).
fof(d8_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( C = k6_scmfsa_2(A,B) <=> ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_ami_3)) & ? [E] : ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) & A = D & B = E & C = k2_ami_3(D,E) ) ) ) ) ) ) )).
fof(d8_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k1_scmfsa_i) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k5_card_1(13)) & A = k3_xtuple_0(D,k1_xboole_0,k10_finseq_1(B,C)) ) ) ) => ! [B] : ( m1_subset_1(B,k1_scmfsa_i) => ( B = k8_scmfsa_i(A) <=> ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,k1_scmfsa_i) & k10_finseq_1(C,D) = k2_xtuple_0(A) & B = D ) ) ) ) ) ) )).
fof(d8_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k7_scmpds_2(A,B,C) = k3_xtuple_0(4,k1_xboole_0,k11_finseq_1(A,B,C)) ) ) ) )).
fof(d8_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( v7_ordinal1(B) => ( r1_scmpds_4(A,B) <=> ( ~ ( k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 14 & ! [C] : ( v1_int_1(C) => ~ ( A = k3_scmpds_2(C) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(B,C)) ) ) ) & ~ ( k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 4 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ~ ( A = k7_scmpds_2(C,D,E) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(B,E)) ) ) ) ) ) & ~ ( k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 5 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ~ ( A = k8_scmpds_2(C,D,E) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(B,E)) ) ) ) ) ) & ~ ( k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 6 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ~ ( A = k9_scmpds_2(C,D,E) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(B,E)) ) ) ) ) ) ) ) ) ) )).
fof(d8_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k6_scmpds_6(A,B,C) = k1_scmpds_4(k4_scmpds_4(k7_scmpds_2(A,B,2),k3_scmpds_2(k1_nat_1(k4_card_1(C),1))),C) ) ) ) )).
fof(d8_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(E,k1_xboole_0,k11_finseq_1(B,C,D)) ) ) ) ) => ! [B] : ( v1_int_1(B) => ( B = k9_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,3) ) ) ) ) ) )).
fof(d8_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => k8_scmring2(A,B) = k3_xtuple_0(6,k9_finseq_1(B),k1_xboole_0) ) ) )).
fof(d8_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(8)) & B = k3_xtuple_0(E,k1_xboole_0,k7_scmringi(A,C,D)) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k9_scmringi(A,B) <=> ? [D] : ( m2_finseq_1(D,k2_xboole_0(k2_scm_inst,u1_struct_0(A))) & D = k2_xtuple_0(B) & C = k7_partfun1(k2_xboole_0(k2_scm_inst,u1_struct_0(A)),D,2) ) ) ) ) ) ) )).
fof(d8_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( m1_subset_1(B,k3_tarski(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_tarski(A))) => ( C = k4_scmyciel(A,B) <=> ! [D] : ( m1_subset_1(D,k3_tarski(A)) => ( r2_tarski(D,C) <=> r2_tarski(k2_tarski(B,D),k1_scmyciel(A)) ) ) ) ) ) ) )).
fof(d8_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r4_semi_af1(A,B,C,D,E,F) <=> ( ~ r1_semi_af1(A,F,B,D) & r1_semi_af1(A,F,B,C) & r1_semi_af1(A,F,D,E) & r2_analoaf(A,B,D,C,E) ) ) ) ) ) ) ) ) )).
fof(d8_seq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_comseq_2(A) <=> ( v1_seq_2(A) & v2_seq_2(A) ) ) ) )).
fof(d8_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k9_seq_4(A) = k4_finseqop(k2_numbers,k2_numbers,A,k1_binop_2) ) )).
fof(d8_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k9_seqfunc(A,B,C) = k8_seqfunc(A,C,k3_seqfunc(A,B)) ) ) ) )).
fof(d8_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v7_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) )).
fof(d8_setfam_1,axiom,( ! [A] : ( v1_setfam_1(A) <=> ~ r2_tarski(k1_xboole_0,A) ) )).
fof(d8_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k8_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k7_subset_1(A,k8_nat_1(k9_setfam_1(A),B,E),C) ) ) ) ) ) )).
fof(d8_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ! [C] : ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k4_sgraph1(A,B,C) <=> ? [E] : ( v1_finset_1(E) & ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,u1_sgraph1(B)) & r2_tarski(C,F) ) ) & D = k4_card_1(E) ) ) ) ) )).
fof(d8_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v4_sheffer1(A) & v11_lattices(A) & v1_sheffer1(A) & v6_lattices(A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C = k3_sheffer1(A,B) <=> r1_sheffer1(A,C,B) ) ) ) ) ) )).
fof(d8_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ( v2_simplex1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( v3_pre_topc(C,B) & v3_pre_topc(D,B) ) => k9_subset_1(u1_struct_0(A),k3_convex1(A,k1_simplex1(A,B,C)),k3_convex1(A,k1_simplex1(A,B,D))) = k3_convex1(A,k1_simplex1(A,B,k9_subset_1(u1_struct_0(B),C,D))) ) ) ) ) ) ) )).
fof(d8_sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( B = k7_sin_cos(A) <=> ( k8_nat_1(k2_numbers,B,k5_numbers) = k5_numbers & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,B,k1_nat_1(C,1)) = k8_nat_1(k2_numbers,A,C) ) ) ) ) ) )).
fof(d8_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(A,k5_numbers) => k8_sin_cos7(A) = k3_power(k4_power,k7_xcmplx_0(k2_xcmplx_0(1,k3_square_1(k2_xcmplx_0(1,k1_square_1(A)))),A)) ) & ( ~ r1_xxreal_0(k5_numbers,A) => k8_sin_cos7(A) = k3_power(k4_power,k7_xcmplx_0(k6_xcmplx_0(1,k3_square_1(k2_xcmplx_0(1,k1_square_1(A)))),A)) ) ) ) )).
fof(d8_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => k8_sincos10(A) = k1_funct_1(k4_sincos10,A) ) )).
fof(d8_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => ( v2_stacks_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u4_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u4_struct_0(A)))) ) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( m1_subset_1(D,u4_struct_0(A)) & k8_nat_1(u4_struct_0(A),B,C) = D & ~ ( ~ r1_stacks_1(A,D) & k8_nat_1(u4_struct_0(A),B,k1_nat_1(C,1)) = k5_stacks_1(A,D) ) ) ) ) ) ) )).
fof(d8_struct_0,axiom,( ! [A] : ( l4_struct_0(A) => ( v6_struct_0(A) <=> k4_struct_0(A) = k5_struct_0(A) ) ) )).
fof(d8_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_substut1(D,A,k7_sublemma(A,B,C)) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),E,k2_valuat_1(A,E)) => k13_sublemma(A,B,C,D,E,F) = k4_relset_1(k3_qc_lang1(A),k3_qc_lang1(A),k3_qc_lang1(A),E,k2_substut1(A,k7_substut1(A,C,k11_cqc_lang(A,C,k2_sublemma(A,B)),D)),F) ) ) ) ) ) ) )).
fof(d8_subset_1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,B) => k10_subset_1(A,B) = A ) )).
fof(d8_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ( C = k9_substut1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & C = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,B) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k3_qc_lang1(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( E = k5_cqc_lang(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k8_substut1(A,k17_qc_lang1(A,E)) ) & ( ( v3_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k18_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = F ) & ( ( v4_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k19_qc_lang1(A,E)) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k20_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k4_subset_1(k3_qc_lang1(A),F,G) ) & ( ( v5_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k22_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k4_subset_1(k3_qc_lang1(A),F,k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v4_card_3(B) <=> ~ ( ~ v1_xboole_0(B) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => B != k2_relset_1(A,C) ) ) ) ) ) )).
fof(d8_taxonom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(u1_struct_0(A)))) => ( B = k4_taxonom1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( ~ v3_xxreal_0(D) & v1_xreal_0(D) & ? [E] : ( v1_partfun1(E,u1_struct_0(A)) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & r2_relset_1(u1_struct_0(A),u1_struct_0(A),E,k13_lang1(u1_struct_0(A),k3_taxonom1(A,D))) & k8_eqrel_1(u1_struct_0(A),E) = C ) ) ) ) ) ) )).
fof(d8_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tbsp_1(B,A) => ! [C] : ( v1_xreal_0(C) => ( ( B != k1_xboole_0 => ( C = k2_tbsp_1(A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,B) ) => r1_xxreal_0(k1_metric_1(A,D,E),C) ) ) ) & ! [D] : ( v1_xreal_0(D) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(E,B) & r2_tarski(F,B) ) => r1_xxreal_0(k1_metric_1(A,E,F),D) ) ) ) => r1_xxreal_0(C,D) ) ) ) ) ) & ( B = k1_xboole_0 => ( C = k2_tbsp_1(A,B) <=> C = k5_numbers ) ) ) ) ) ) ) )).
fof(d8_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k8_tdlat_1(A) = g3_lattices(k5_tdlat_1(A),k6_tdlat_1(A),k7_tdlat_1(A)) ) )).
fof(d8_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k5_termord(A,B,C,D) = k1_polynom7(A,C,k4_termord(A,B,C,D),k3_termord(A,B,C,D)) ) ) ) ) )).
fof(d8_tex_4,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_tex_4(A,B) = k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B)) ) ) )).
fof(d8_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_tmap_1(A,B) = g1_pre_topc(u1_struct_0(A),k5_tmap_1(A,B)) ) ) )).
fof(d8_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & l1_topgrp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ( E = k12_topalg_7(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => k1_topalg_7(k5_topmetr,k5_topmetr,u1_struct_0(A),E,F,G) = k6_algstr_0(A,k6_algstr_0(A,k6_algstr_0(A,k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k6_topalg_7(A,B,C),k8_topalg_7(F,G)),k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),C,F)),k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),D,F)),k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),C,k8_topalg_7(F,G))) ) ) ) ) ) ) ) ) )).
fof(d8_topgen_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = k7_topgen_3(A,B) <=> ( u1_struct_0(C) = A & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => k1_tops_1(C,D) = k16_funcop_1(k1_zfmisc_1(u1_struct_0(C)),D,A,D,k8_subset_1(u1_struct_0(C),D,B)) ) ) ) ) )).
fof(d8_topgrp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_topgrp_1(A) ) => ( v4_topgrp_1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),u1_struct_0(A)))) ) => ( B = u2_algstr_0(A) => v5_pre_topc(B,k2_borsuk_1(A,A),A) ) ) ) ) )).
fof(d8_topmetr,axiom,( ! [A] : ( l1_struct_0(A) => ( v3_topmetr(A) <=> v3_membered(u1_struct_0(A)) ) ) )).
fof(d8_topreal1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v4_topreal1(A) <=> ( v2_funct_1(A) & r1_xxreal_0(2,k3_finseq_1(A)) & v2_topreal1(A) & v3_topreal1(A) & v1_topreal1(A) ) ) ) )).
fof(d8_toprealb,axiom,( k9_toprealb = k19_euclid(1,k5_numbers) )).
fof(d8_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v3_toprns_1(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(A),k8_nat_1(u1_struct_0(k15_euclid(A)),B,F),C))) ) ) ) ) ) ) ) ) )).
fof(d8_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tops_1(B,A) <=> B = k1_tops_1(A,k2_pre_topc(A,B)) ) ) ) )).
fof(d8_trees_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_trees_2(A) <=> ( ~ v1_xboole_0(k9_xtuple_0(A)) & v1_trees_1(k9_xtuple_0(A)) ) ) ) )).
fof(d8_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_trees_3(B,A) => ( B = k5_trees_3(A) <=> ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_finset_1(k9_xtuple_0(C)) <=> r2_tarski(C,B) ) ) ) ) ) )).
fof(d8_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => k6_trees_9(A) = a_1_1_trees_9(A) ) )).
fof(d8_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( A = k9_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k10_finseq_1(B,C)) = k2_binarith(k8_margrel1(B),k8_margrel1(C)) ) ) ) ) )).
fof(d8_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_unialg_2(B,A) => k4_unialg_2(A,B) = g1_unialg_1(B,k3_unialg_2(A,B)) ) ) ) )).
fof(d8_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v1_uproots(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k6_uproots(A,B,C) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) & E = a_3_0_uproots(A,B,C) & D = k1_xxreal_2(E) ) ) ) ) ) ) )).
fof(d8_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v10_pre_topc(A) & v3_pre_topc(B,A) & v3_pre_topc(C,A) & r1_tarski(k2_pre_topc(A,B),C) ) => ( B = k1_xboole_0 | ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( m1_urysohn1(D,A,B,C) <=> ( D != k1_xboole_0 & v3_pre_topc(D,A) & r1_tarski(k2_pre_topc(A,B),D) & r1_tarski(k2_pre_topc(A,D),C) ) ) ) ) ) ) ) ) )).
fof(d8_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_valuat_1(C,A,B) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_valuat_1(A,B,C,D) <=> ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => r1_valuat_1(A,B,D,C,E) ) ) ) ) ) ) )).
fof(d8_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k39_valued_1(A) = k18_valued_1(A,A) ) )).
fof(d8_valued_2,axiom,( ! [A] : ! [B] : ( B = k2_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) ) )).
fof(d8_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v4_vectmetr(B) & v5_vectmetr(B) & v6_vectmetr(B) & l1_vectmetr(B) ) => ( B = k4_vectmetr(A) <=> ( u1_struct_0(B) = k1_euclid(A) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k1_numbers,k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers,u1_metric_1(B),k13_euclid(A)) & k4_struct_0(B) = k5_euclid(A) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k1_binop_1(u1_algstr_0(B),C,D) = k7_euclid(A,C,D) ) ) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m1_subset_1(D,k1_numbers) => k1_binop_1(u1_rlvect_1(B),D,C) = k9_euclid(A,C,D) ) ) ) ) ) ) )).
fof(d8_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_5(D,A,B,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))) => ( C != k4_struct_0(B) => ! [E] : ( ( v1_funct_1(E) & ~ v3_funct_1(E) & ~ v1_zfmisc_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(E,B,A) & v1_hahnban1(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( E = k7_vectsp10(A,B,C,D) <=> ( k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C) = k1_group_1(A) & k5_relset_1(u1_struct_0(B),u1_struct_0(A),E,u1_struct_0(D)) = k7_hahnban1(A,D) ) ) ) ) ) ) ) ) )).
fof(d8_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v6_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k5_struct_0(A),B) = B ) ) ) )).
fof(d8_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => ( v4_vectsp_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( k4_vectsp_2(A,B,C,k1_algstr_0(B,E,F)) = k1_algstr_0(B,k4_vectsp_2(A,B,C,E),k4_vectsp_2(A,B,C,F)) & k4_vectsp_2(A,B,k1_algstr_0(A,C,D),E) = k1_algstr_0(B,k4_vectsp_2(A,B,C,E),k4_vectsp_2(A,B,D,E)) & k4_vectsp_2(A,B,k6_algstr_0(A,D,C),E) = k4_vectsp_2(A,B,C,k4_vectsp_2(A,B,D,E)) & k4_vectsp_2(A,B,k1_group_1(A),E) = E ) ) ) ) ) ) ) ) )).
fof(d8_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)))) ) => ( C = k6_vectsp_5(A,B) <=> ! [D] : ( m1_subset_1(D,k3_vectsp_5(A,B)) => ! [E] : ( m1_subset_1(E,k3_vectsp_5(A,B)) => ! [F] : ( m1_vectsp_4(F,A,B) => ! [G] : ( m1_vectsp_4(G,A,B) => ( ( D = F & E = G ) => k4_binop_1(k3_vectsp_5(A,B),C,D,E) = k2_vectsp_5(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(d8_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_vectsp_6(D,A,B) => k5_vectsp_6(A,B,C,D) = k1_vfunct_1(u1_struct_0(B),A,C,D) ) ) ) ) )).
fof(d8_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( m3_vectsp_8(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_lattices(A,D,E)) = k4_lattices(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(d8_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))))) ) => ( G = k8_vsdiff_1(A,B,C,D,E,F) <=> ( r2_relset_1(u1_struct_0(C),u1_struct_0(E),k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,k5_numbers),F) & ! [H] : ( v7_ordinal1(H) => r2_relset_1(u1_struct_0(C),u1_struct_0(E),k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,k1_nat_1(H,1)),k5_vsdiff_1(A,B,C,D,E,k1_seqfunc(u1_struct_0(C),u1_struct_0(E),G,H))) ) ) ) ) ) ) ) ) ) ) )).
fof(d8_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m4_yellow_6(B,A) => ( B = k2_waybel11(A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,A) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( r2_tarski(C,k5_yellow_6(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k4_tarski(C,D),B) <=> r1_waybel11(A,C,D) ) ) ) ) ) ) ) )).
fof(d8_waybel18,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( r1_waybel18(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v5_pre_topc(C,B,B) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),C,C),C) & r1_t_0topsp(k7_waybel18(B,B,C),A) ) ) ) ) )).
fof(d8_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_waybel23(B,A) <=> r2_tarski(k3_yellow_0(A),B) ) ) ) )).
fof(d8_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_waybel34(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_waybel_3(A,D,E) => r1_waybel_3(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(d8_waybel35,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : k3_waybel35(A,B,C) = k3_xboole_0(k8_relat_1(A,k1_tarski(C)),B) ) )).
fof(d8_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_waybel_0(A,B,C) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),u1_waybel_0(A,B),C) ) ) ) )).
fof(d8_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( r5_waybel_1(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v23_waybel_0(C,A,B) ) ) ) ) )).
fof(d8_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( B = k3_waybel_4(A) <=> ! [C] : ( r2_tarski(C,B) <=> ( v5_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) ) )).
fof(d8_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_waybel_6(B,A) <=> v5_waybel_6(k8_lattice3(A,B),k7_lattice3(A)) ) ) ) )).
fof(d8_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( l1_waybel_0(D,A) => ! [E] : ( ( v6_waybel_0(E,B) & l1_waybel_0(E,B) ) => ( E = k6_waybel_9(A,B,C,D) <=> ( g1_orders_2(u1_struct_0(E),u1_orders_2(E)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) & u1_waybel_0(B,E) = k1_partfun1(u1_struct_0(D),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_waybel_0(A,D),C) ) ) ) ) ) ) ) )).
fof(d8_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => k8_weierstr(A,B,C) = k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k6_weierstr(A,B),C)) ) ) ) )).
fof(d8_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r4_wellord1(A,B) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & r3_wellord1(A,B,C) ) ) ) ) )).
fof(d8_xboole_0,axiom,( ! [A] : ! [B] : ( r2_xboole_0(A,B) <=> ( r1_tarski(A,B) & A != B ) ) )).
fof(d8_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k7_xboolean(A,B) = k4_xboolean(k6_xboolean(A,B),k6_xboolean(B,A)) ) ) )).
fof(d8_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(A,B) = k3_xcmplx_0(A,k5_xcmplx_0(B)) ) ) )).
fof(d8_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k6_xtuple_0(A,B,C,D) = k4_tarski(k3_xtuple_0(A,B,C),D) )).
fof(d8_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v2_xxreal_2(A) ) => ! [B] : ( v1_xxreal_0(B) => ( B = k1_xxreal_2(A) <=> ( r2_hidden(B,A) & ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(C,B) ) ) ) ) ) ) )).
fof(d8_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & l2_altcat_1(A) ) => ( v4_yellow21(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow21(A,B)),u1_struct_0(k3_yellow21(A,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow21(A,B)),u1_struct_0(k3_yellow21(A,C))))) ) => ( v23_waybel_0(D,k3_yellow21(A,B),k3_yellow21(A,C)) => r2_tarski(D,k1_altcat_1(A,B,C)) ) ) ) ) ) ) )).
fof(d8_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( r2_yellow_0(A,B) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattice3(A,B,D) => r1_orders_2(A,D,C) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_lattice3(A,B,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_lattice3(A,B,E) => r1_orders_2(A,E,D) ) ) ) => D = C ) ) ) ) ) )).
fof(d8_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( l1_waybel_0(B,A) => ( v1_yellow_6(B,A) => ( v2_struct_0(B) | k3_yellow_6(A,B) = k3_funct_1(u1_waybel_0(A,B)) ) ) ) ) )).
fof(d8_zf_lang,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( A = k8_zf_lang <=> ( ! [B] : ( r2_tarski(B,A) => m2_finseq_1(B,k4_ordinal1) ) & ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k3_zf_lang(B,C),A) & r2_tarski(k4_zf_lang(B,C),A) ) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => r2_tarski(k5_zf_lang(B),A) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k6_zf_lang(B,C),A) ) ) ) & ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,A) => r2_tarski(k7_zf_lang(B,C),A) ) ) ) & ! [B] : ( ~ v1_xboole_0(B) => ( ( ! [C] : ( r2_tarski(C,B) => m2_finseq_1(C,k4_ordinal1) ) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k3_zf_lang(C,D),B) & r2_tarski(k4_zf_lang(C,D),B) ) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) => r2_tarski(k5_zf_lang(C),B) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k6_zf_lang(C,D),B) ) ) ) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r2_tarski(D,B) => r2_tarski(k7_zf_lang(C,D),B) ) ) ) ) => r1_tarski(A,B) ) ) ) ) ) )).
fof(d8_zf_model,axiom,( k8_zf_model = k7_zf_lang(k2_zf_lang(k5_numbers),k12_zf_lang(k2_zf_lang(1),k7_zf_lang(k2_zf_lang(2),k11_zf_lang(k4_zf_lang(k2_zf_lang(2),k2_zf_lang(1)),k12_zf_lang(k2_zf_lang(3),k6_zf_lang(k4_zf_lang(k2_zf_lang(2),k2_zf_lang(3)),k4_zf_lang(k2_zf_lang(3),k2_zf_lang(k5_numbers)))))))) )).
fof(d8_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( r4_zfmisc_1(A,B,C,D,E,F) <=> ( A != B & A != C & A != D & A != E & A != F & B != C & B != D & B != E & B != F & C != D & C != E & C != F & D != E & D != F & E != F ) ) )).
fof(d8_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_zmodul01(B,A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k3_rlvect_1(A,C,D),B) ) ) ) & ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k1_zmodul01(A,D,C),B) ) ) ) ) ) ) ) )).
fof(d8_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => k8_zmodul02(A,B) = u1_struct_0(B) ) ) )).
fof(d8_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_zmodul02(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_zmodul05(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( m1_zmodul02(E,B) => ( E = k7_zmodul05(A,B,C,D) <=> ( r1_tarski(k18_zmodul02(B,E),k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,k18_zmodul02(A,C))) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),k4_numbers,E,F) = k16_rvsum_1(k6_zmodul05(A,B,C,D,F)) ) ) ) ) ) ) ) ) )).
fof(d9_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ( v8_abcmiz_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ~ ( r2_tarski(C,k2_abcmiz_0(A,B)) & r2_tarski(k1_abcmiz_0(A,C),k2_abcmiz_0(A,B)) ) ) ) ) ) )).
fof(d9_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ( v1_abcmiz_1(A) <=> ( u1_struct_0(A) = k1_enumset1(k6_abcmiz_1,k7_abcmiz_1,k8_abcmiz_1) & r1_tarski(k2_tarski(k9_abcmiz_1,k10_abcmiz_1),u4_struct_0(A)) & k1_funct_1(u1_msualg_1(A),k9_abcmiz_1) = k10_finseq_1(k7_abcmiz_1,k6_abcmiz_1) & k1_funct_1(u1_msualg_1(A),k10_abcmiz_1) = k9_finseq_1(k7_abcmiz_1) & k1_funct_1(u2_msualg_1(A),k9_abcmiz_1) = k6_abcmiz_1 & k1_funct_1(u2_msualg_1(A),k10_abcmiz_1) = k7_abcmiz_1 & ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ~ ( B != k9_abcmiz_1 & B != k10_abcmiz_1 & ~ r2_tarski(k1_funct_1(u1_msualg_1(A),B),k3_finseq_2(k1_tarski(k8_abcmiz_1))) ) ) ) ) ) )).
fof(d9_abcmiz_a,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( ( v5_abcmiz_1(C,A,B) => k10_abcmiz_a(A,B,C) = k1_xfamily(k1_funct_1(C,k1_xboole_0)) ) & ( ~ v5_abcmiz_1(C,A,B) => k10_abcmiz_a(A,B,C) = k1_xboole_0 ) ) ) ) ) )).
fof(d9_absred_0,axiom,( ! [A] : ( ( v1_absred_0(A) & l1_absred_0(A) ) => ( A = k1_absred_0 <=> ( u1_struct_0(A) = k2_tarski(k5_ordinal1,1) & u1_absred_0(A) = k2_zfmisc_1(k1_tarski(k5_ordinal1),k2_tarski(k5_ordinal1,1)) ) ) ) )).
fof(d9_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v9_aff_2(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & r2_hidden(C,B) & r2_hidden(F,B) & r2_hidden(I,B) & r1_aff_1(A,C,D,G) & r1_aff_1(A,C,E,H) & r2_analoaf(A,E,F,H,I) & r2_analoaf(A,D,F,G,I) & r2_aff_1(A,D,E,B) ) => ( r2_hidden(D,B) | C = F | D = E | r2_analoaf(A,D,E,G,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( m2_finseq_1(C,A) => ( C = k10_afinsq_1(A,B) <=> ( k3_finseq_1(C) = k1_afinsq_1(B) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_afinsq_1(B)) ) => k1_funct_1(B,k7_nat_d(D,1)) = k1_funct_1(C,D) ) ) ) ) ) ) )).
fof(d9_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => k7_afinsq_2(A) = k6_afinsq_2(k2_numbers,A,k3_binop_2) ) )).
fof(d9_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => k9_afproj(A) = k2_xboole_0(u1_struct_0(A),k7_afproj(A)) ) )).
fof(d9_afvect0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r3_afvect0(A,B,C) <=> ( v2_funct_1(C) & k10_xtuple_0(C) = u1_struct_0(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_algstr_0(A,D,E)) = k1_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_algstr_0(A,D)) = k4_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) ) ) ) )).
fof(d9_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_alg_1(B,A) => ! [C] : ( m2_finseq_1(C,k4_partfun1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B))) => ( C = k3_alg_1(A,B) <=> ( k3_finseq_1(C) = k3_finseq_1(u1_unialg_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => ! [E] : ( m5_margrel1(E,u1_struct_0(A),k1_unialg_2(A)) => ( k1_funct_1(u1_unialg_1(A),D) = E => k1_funct_1(C,D) = k2_alg_1(A,B,E) ) ) ) ) ) ) ) ) ) )).
fof(d9_algstr_0,axiom,( k3_algstr_0 = g2_algstr_0(k1_tarski(k5_ordinal1),k9_funct_5,k5_funct_5) )).
fof(d9_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( l3_algstr_0(B) => ( m1_algstr_4(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d9_altcat_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v7_altcat_1(A) <=> ! [B] : ~ ( r2_hidden(B,k9_xtuple_0(A)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ~ ( B = k4_tarski(D,C) & k1_funct_1(A,B) = k3_relat_1(C,D) ) ) ) ) ) ) )).
fof(d9_altcat_3,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_altcat_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) & r2_tarski(D,k1_altcat_1(A,B,C)) & v1_zfmisc_1(k1_altcat_1(A,B,C)) ) ) ) ) ) )).
fof(d9_altcat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v5_altcat_5(D,A,B,C) <=> ? [E] : ( m1_altcat_5(E,A,D,B,C) & v2_altcat_5(E,A,B,C,D) & v3_altcat_5(E,A,B,C,D) ) ) ) ) ) )).
fof(d9_altcat_6,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( r2_tarski(k3_card_3(k3_msafree(A,C)),B) => k2_altcat_6(A,B,C) = k3_card_3(k3_msafree(A,C)) ) ) ) )).
fof(d9_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k8_ami_3(A,B) = k3_xtuple_0(7,k9_finseq_1(A),k9_finseq_1(B)) ) ) )).
fof(d9_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( v5_amistd_1(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => r1_tarski(k1_amistd_1(A,B,D,k7_partfun1(u1_compos_1(B),C,D)),k1_relset_1(k4_ordinal1,C)) ) ) ) ) ) ) )).
fof(d9_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ( v4_analmetr(A) <=> ( ~ v7_struct_0(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_diraf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v2_diraf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & l1_analoaf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( r4_analmetr(A,B,C,B,C) => B = C ) & r4_analmetr(A,B,C,D,D) & ( r4_analmetr(A,B,C,D,E) => ( r4_analmetr(A,B,C,E,D) & r4_analmetr(A,D,E,B,C) ) ) & ~ ( r4_analmetr(A,B,C,F,G) & r2_analoaf(A,B,C,H,I) & ~ r4_analmetr(A,F,G,H,I) & B != C ) & ~ ( r4_analmetr(A,B,C,F,G) & r4_analmetr(A,B,C,H,I) & ~ r2_analoaf(A,F,G,H,I) & B != C ) ) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r4_analmetr(A,B,C,D,E) & D != E ) ) ) ) ) ) ) )).
fof(d9_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_collsp(A) ) => ( v2_anproj_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_collsp(A,B,C,E) & r1_collsp(A,C,D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_collsp(A,B,D,G) & r1_collsp(A,E,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k10_aofa_000(A) = k6_subset_1(u1_struct_0(A),k3_tarski(a_1_0_aofa_000(A))) ) )).
fof(d9_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l1_aofa_a00(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),C)) => k10_aofa_a00(A,B,C,D) = k1_funct_1(k1_msafree4(u1_struct_0(A),u1_aofa_a00(A,B),C),D) ) ) ) ) )).
fof(d9_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) ) => ! [F] : ( ( v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,D),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) ) => ! [G] : ( ( v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) ) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,C),G)) => k6_aofa_a01(A,B,C,D,E,F,G,H,I) = k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,D),E,u8_aofa_a00(A),F,k21_aofa_a00(A,C,k32_aofa_a00(A,C,G,H,I))) ) ) ) ) ) ) ) ) ) )).
fof(d9_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_armstrng(A)) => ! [C] : ( m1_subset_1(C,k4_armstrng(A)) => ( r3_armstrng(A,B,C) <=> ( r1_tarski(k1_xfamily(B),k1_xfamily(C)) & r1_tarski(k2_xfamily(C),k2_xfamily(B)) ) ) ) ) )).
fof(d9_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => k8_arytm_2(A,B) = k4_arytm_2(k6_arytm_2(k3_arytm_2(A),k3_arytm_2(B))) ) ) )).
fof(d9_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( r2_tarski(A,k4_ordinal1) => ( B = k7_arytm_3(A) <=> B = 1 ) ) & ( ~ r2_tarski(A,k4_ordinal1) => ( B = k7_arytm_3(A) <=> ? [C] : ( v3_ordinal1(C) & v7_ordinal1(C) & A = k4_tarski(C,B) ) ) ) ) ) ) )).
fof(d9_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k6_asympt_0(A) = a_1_0_asympt_0(A) ) )).
fof(d9_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => k7_bagorder(A) = k5_bagorder(A,k4_bagorder(A)) ) )).
fof(d9_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( m1_bcialg_2(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_hidden(k4_tarski(C,D),B) & r2_hidden(k4_tarski(E,F),B) ) => r2_hidden(k4_tarski(k1_bcialg_1(A,C,E),k1_bcialg_1(A,D,F)),B) ) ) ) ) ) ) ) ) )).
fof(d9_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ( v3_bcialg_4(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)) = k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)) ) ) ) ) )).
fof(d9_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( r1_bcialg_6(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(d9_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m2_bhsp_5(B,A) <=> ( m1_bhsp_5(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => k2_bhsp_1(A,C,C) = 1 ) ) ) ) ) ) )).
fof(d9_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k8_bilinear(A,B,C,D,E) = k10_funct_5(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k9_funct_2(u1_struct_0(B),u1_struct_0(A)),k12_funct_5(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D),E) ) ) ) ) ) )).
fof(d9_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r4_binop_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k1_binop_1(B,D,k1_binop_1(C,E,F)) = k1_binop_1(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F)) ) ) ) ) ) ) )).
fof(d9_binop_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) ) => ( A = k9_binop_2 <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_binop_1(A,B,C) = k2_xcmplx_0(B,C) ) ) ) ) )).
fof(d9_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) ) => k13_borsuk_1(A,B,C) = k2_xboole_0(C,a_2_2_borsuk_1(A,B)) ) ) ) )).
fof(d9_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) => ( A = k7_borsuk_6 <=> ! [B] : ( r2_tarski(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) & ? [D] : ( m1_subset_1(D,u1_struct_0(k5_topmetr)) & B = k4_borsuk_1(k5_topmetr,k5_topmetr,C,D) & r1_xxreal_0(k6_xcmplx_0(1,k3_xcmplx_0(2,C)),D) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2,C),1),D) ) ) ) ) ) )).
fof(d9_borsuk_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k8_toprealb(k1_nat_1(A,1))),u1_struct_0(k8_toprealb(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(k1_nat_1(A,1))),u1_struct_0(k8_toprealb(A))))) ) => ( C = k15_borsuk_7(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1))) => ( E = k30_valued_1(D) => k1_funct_1(C,D) = k14_borsuk_7(A,k5_algstr_0(k15_euclid(A),k3_funct_2(u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A)),B,D),k3_funct_2(u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A)),B,E))) ) ) ) ) ) ) ) )).
fof(d9_bspace,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k7_bspace(A))) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k2_bspace)) => ( D = k11_bspace(A,B,C) <=> ( k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_funct_1(D,E) = k3_bspace(k1_funct_1(B,E),C) ) ) ) ) ) ) ) ) )).
fof(d9_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( D = k10_bvfunc_1(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k5_margrel1,D,E) = k3_xboolean(k10_xboolean(k3_funct_2(A,k5_margrel1,B,E),k3_funct_2(A,k5_margrel1,C,E))) ) ) ) ) ) ) )).
fof(d9_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => k6_bvfunc_2(A,B,C,D) = k16_bvfunc_1(A,B,k5_bvfunc_2(A,D,C)) ) ) ) ) )).
fof(d9_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l1_funcsdom(B) ) => ( m2_c0sp1(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) & u1_rlvect_1(B) = k2_partfun1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B))) & k5_struct_0(B) = k5_struct_0(A) & k4_struct_0(B) = k4_struct_0(A) ) ) ) ) )).
fof(d9_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k9_c0sp2(A) = g1_normsp_1(k6_c0sp2(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k6_c0sp2(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k6_c0sp2(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k6_c0sp2(A)),k8_c0sp2(A)) ) )).
fof(d9_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ( r4_calcul_1(A,B) <=> ? [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_calcul_1(A),k2_cqc_the1)) & v1_calcul_1(C,A) & B = k1_xtuple_0(k1_funct_1(C,k3_finseq_1(C))) ) ) ) ) )).
fof(d9_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k8_card_3(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & C = D & r1_tarski(k9_xtuple_0(D),k9_xtuple_0(A)) & ! [E] : ( r2_hidden(E,k9_xtuple_0(D)) => r2_tarski(k1_funct_1(D,E),k1_funct_1(A,E)) ) ) ) ) ) )).
fof(d9_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_card_fil(A) = a_1_0_card_fil(A) ) )).
fof(d9_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k2_card_lar(A,B) = a_2_0_card_lar(A,B) ) ) )).
fof(d9_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ( v5_cat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_cat_1(A,B,B) != k1_xboole_0 ) ) ) )).
fof(d9_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k11_cat_2(A,B,C,D,E) = k1_funct_1(k3_funct_5(D),k4_cat_1(B,E)) ) ) ) ) ) )).
fof(d9_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v2_cat_3(D,A,B,C) <=> ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,B) != k1_xboole_0 & ? [E] : ( m1_cat_1(E,A,C,B) & k5_cat_1(A,B,C,B,D,E) = k4_cat_1(A,B) ) ) ) ) ) ) ) )).
fof(d9_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k9_cat_5(A,B) = k8_relset_1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),k6_domain_1(u1_struct_0(A),B)) ) ) )).
fof(d9_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v7_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( r1_cat_6(A,C,D) => ( r1_cat_6(A,B,k2_cat_6(A,C,D)) <=> r1_cat_6(A,B,C) ) ) ) ) ) ) ) )).
fof(d9_catalg_1,axiom,( ! [A] : ! [B] : k6_catalg_1(A,B) = k4_tarski(k5_numbers,k10_finseq_1(A,B)) )).
fof(d9_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( ( v1_cayldick(B) & l1_cayldick(B) ) => ( B = k4_cayldick(A) <=> ( u1_struct_0(B) = k4_card_3(k6_afinsq_1(u1_struct_0(A),u1_struct_0(A))) & u2_struct_0(B) = k6_afinsq_1(k4_struct_0(A),k4_struct_0(A)) & u3_struct_0(B) = k6_afinsq_1(k5_struct_0(A),k4_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k1_binop_1(u1_algstr_0(B),k6_afinsq_1(C,E),k6_afinsq_1(D,F)) = k6_afinsq_1(k1_algstr_0(A,C,D),k1_algstr_0(A,E,F)) & k1_binop_1(u2_algstr_0(B),k6_afinsq_1(C,E),k6_afinsq_1(D,F)) = k6_afinsq_1(k5_algstr_0(A,k6_algstr_0(A,C,D),k6_algstr_0(A,k2_cayldick(A,F),E)),k1_algstr_0(A,k6_algstr_0(A,F,C),k6_algstr_0(A,E,k2_cayldick(A,D)))) ) ) ) ) ) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_binop_1(u1_rlvect_1(B),C,k6_afinsq_1(D,E)) = k6_afinsq_1(k1_rlvect_1(A,D,C),k1_rlvect_1(A,E,C)) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_funct_1(u1_normsp_0(B),k6_afinsq_1(C,D)) = k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(A,C)),k1_square_1(k2_normsp_0(A,D)))) & k1_funct_1(u1_cayldick(B),k6_afinsq_1(C,D)) = k6_afinsq_1(k2_cayldick(A,C),k4_algstr_0(A,D)) ) ) ) ) ) ) ) )).
fof(d9_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_cc0sp1(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_cc0sp1(A),k1_numbers))) ) => ( B = k6_cc0sp1(A) <=> ! [C] : ( r2_hidden(C,k2_cc0sp1(A)) => k1_funct_1(B,C) = k2_seq_4(k5_cc0sp1(A,k4_cc0sp1(A,C))) ) ) ) ) )).
fof(d9_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k8_cc0sp2(A) = k2_partfun1(k2_cc0sp1(u1_struct_0(A)),k1_numbers,k6_cc0sp1(u1_struct_0(A)),k6_cc0sp2(A)) ) )).
fof(d9_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( r2_cfdiff_1(A,B) <=> ( r1_tarski(B,k1_relset_1(k2_numbers,A)) & v4_cfdiff_1(k5_relset_1(k2_numbers,k2_numbers,A,B)) ) ) ) )).
fof(d9_cfuncdom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cfuncdom(A) ) => ( v2_cfuncdom(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xcmplx_0(D) => k1_clvect_1(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,k1_clvect_1(A,B,D),C) ) ) ) ) ) )).
fof(d9_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( v3_ordinal1(B) => ( B = k9_cgames_1(A) <=> ( r2_tarski(A,k2_cgames_1(B)) & ! [C] : ( v3_ordinal1(C) => ~ ( r2_tarski(C,B) & r2_tarski(A,k2_cgames_1(C)) ) ) ) ) ) ) )).
fof(d9_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => k6_chain_1(A,B) = k4_chain_1(A,B,A) ) ) )).
fof(d9_circcmb3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & v5_circcomb(B) & l1_msualg_1(B) ) => ( m1_circcmb3(B,A) <=> ? [C] : ( v4_msafree2(C,B) & l3_msualg_1(C,B) & v3_funct_1(u3_msualg_1(B,C)) & k3_funct_1(u3_msualg_1(B,C)) = A & v4_circcomb(C,B) ) ) ) ) )).
fof(d9_circcomb,axiom,( ! [A] : ( l1_msualg_1(A) => ( v3_circcomb(A) <=> ! [B] : ( r2_tarski(B,u4_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( C = k1_funct_1(u1_msualg_1(A),B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(k3_finseq_1(C),k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k3_finseq_1(C),k5_margrel1),k5_margrel1))) ) => B != k4_tarski(k1_xtuple_0(B),D) ) ) ) ) ) ) )).
fof(d9_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r1_circtrm1(A,B,C,D) <=> ( v2_funct_1(C) & v2_funct_1(D) & r3_pua2mss1(A,B,C,D) & r3_pua2mss1(B,A,k2_funct_1(C),k2_funct_1(D)) ) ) ) ) ) ) )).
fof(d9_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(u3_msualg_1(A,B))))) ) => ( E = k9_circuit2(A,B,C,D) <=> ( r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),E,k5_numbers),k8_circuit2(A,B,C,D)) & ! [F] : ( v7_ordinal1(F) => r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),E,k1_nat_1(F,1)),k7_circuit2(A,B,k8_nat_1(k4_card_3(u3_msualg_1(A,B)),E,F),k2_circuit1(A,B,C,k1_nat_1(F,1)))) ) ) ) ) ) ) ) ) )).
fof(d9_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( B = k6_classes1(A) <=> ( r1_tarski(A,k4_classes1(B)) & ! [C] : ( v3_ordinal1(C) => ( r1_tarski(A,k4_classes1(C)) => r1_ordinal1(B,C) ) ) ) ) ) )).
fof(d9_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( r2_hidden(C,k8_clopban1(A,B)) => k11_clopban1(A,B,C) = C ) ) ) )).
fof(d9_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clopban2(A) ) => ( v2_clopban2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k6_algstr_0(A,B,C)),k3_xcmplx_0(k2_normsp_0(A,B),k2_normsp_0(A,C))) ) ) ) ) )).
fof(d9_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( v6_closure2(C,A,B) <=> r2_tarski(k1_pboole(A),C) ) ) ) )).
fof(d9_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( v1_clvect_1(B) & m1_clvect_1(B,A) ) => ( B = k3_clvect_1(A) <=> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) ) )).
fof(d9_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_clvect_2(A,B,C) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k13_csspace(A,k8_nat_1(u1_struct_0(A),B,F),k8_nat_1(u1_struct_0(A),C,F))) ) ) ) ) ) ) ) ) )).
fof(d9_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_coh_sp(A)) => k8_coh_sp(A,B) = k4_tarski(k4_tarski(B,B),k6_partfun1(k3_tarski(B))) ) )).
fof(d9_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_cohsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_xtuple_0(A))) => ( r2_tarski(k3_tarski(B),k9_xtuple_0(A)) => k1_funct_1(A,k3_tarski(B)) = k3_tarski(k7_relat_1(A,B)) ) ) ) ) )).
fof(d9_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_pre_topc(B) & l1_pre_topc(B) ) => ( B = k1_compact1(A) <=> ( u1_struct_0(B) = k1_ordinal1(k2_struct_0(A)) & u1_pre_topc(B) = k2_xboole_0(u1_pre_topc(A),a_1_0_compact1(A)) ) ) ) ) )).
fof(d9_compl_sp,axiom,( ! [A] : ( l1_pre_topc(A) => ( v8_compl_sp(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( m1_setfam_1(B,u1_struct_0(A)) & v1_tops_2(B,A) & v4_card_3(B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(C,B) & m1_setfam_1(C,u1_struct_0(A)) & v1_finset_1(C) ) ) ) ) ) ) )).
fof(d9_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,A) => ( D = k8_compos_0(A,B,C) <=> ( k5_compos_0(A,D) = k5_compos_0(A,B) & k3_compos_0(D) = k3_compos_0(B) & k2_compos_0(D) = k7_valued_1(k2_compos_0(B),C) ) ) ) ) ) ) )).
fof(d9_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k3_finseq_2(k4_ordinal1)) & v1_funct_1(C) & v4_valued_0(C) & v2_margrel1(C) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_comput_1(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_tarski(k1_relset_1(k3_finseq_2(k4_ordinal1),A),k4_finseq_2(E,k4_ordinal1)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & k1_nat_1(k18_margrel1(B),1) = E & k1_nat_1(E,1) = k18_margrel1(C) & ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( k3_finseq_1(F) = E => ( ( r2_tarski(k2_funct_7(k4_ordinal1,F,D,k5_numbers),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) => r2_tarski(k2_finseq_3(D,F),k1_relset_1(k3_finseq_2(k4_ordinal1),B)) ) & ( r2_tarski(k2_finseq_3(D,F),k1_relset_1(k3_finseq_2(k4_ordinal1),B)) => r2_tarski(k2_funct_7(k4_ordinal1,F,D,k5_numbers),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) & ( r2_tarski(k2_funct_7(k4_ordinal1,F,D,k5_numbers),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) => k1_recdef_1(A,k2_funct_7(k4_ordinal1,F,D,k5_numbers)) = k1_recdef_1(B,k2_finseq_3(D,F)) ) & ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(k2_funct_7(k4_ordinal1,F,D,k1_nat_1(G,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) => ( r2_tarski(k1_funct_7(F,D,G),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) & r2_tarski(k7_finseq_1(k1_funct_7(F,D,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(A,k1_funct_7(F,D,G)))),k1_relset_1(k3_finseq_2(k4_ordinal1),C)) ) ) & ( ( r2_tarski(k1_funct_7(F,D,G),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) & r2_tarski(k7_finseq_1(k1_funct_7(F,D,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(A,k1_funct_7(F,D,G)))),k1_relset_1(k3_finseq_2(k4_ordinal1),C)) ) => r2_tarski(k2_funct_7(k4_ordinal1,F,D,k1_nat_1(G,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) & ( r2_tarski(k2_funct_7(k4_ordinal1,F,D,k1_nat_1(G,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) => k1_recdef_1(A,k2_funct_7(k4_ordinal1,F,D,k1_nat_1(G,1))) = k1_recdef_1(C,k7_finseq_1(k1_funct_7(F,D,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(A,k1_funct_7(F,D,G))))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_3(A) <=> v1_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)) ) ) )).
fof(d9_conlat_1,axiom,( ! [A] : ( l5_struct_0(A) => ! [B] : ( l2_conlat_1(B,A) => ( v5_conlat_1(B,A) <=> ( v1_xboole_0(u2_conlat_1(A,B)) | v1_xboole_0(u3_conlat_1(A,B)) ) ) ) ) )).
fof(d9_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_lattice4(B,k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) => ( B = k9_conlat_2(A) <=> ! [C] : ( ( v3_conlat_1(C,A) & ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) => k1_funct_1(B,C) = k8_conlat_2(A,C) ) ) ) ) )).
fof(d9_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_convex4(C,A) => ! [D] : ( m1_convex4(D,A) => ( D = k7_convex4(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,D,E) = k3_xcmplx_0(B,k3_funct_2(u1_struct_0(A),k2_numbers,C,E)) ) ) ) ) ) ) )).
fof(d9_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => k12_cqc_sim1(A,B) = a_2_0_cqc_sim1(A,B) ) ) )).
fof(d9_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_cqc_the1(B,A) <=> r3_cqc_the1(A,k1_subset_1(k3_cqc_lang(A)),B) ) ) ) )).
fof(d9_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) => k7_csspace(A,B) = k5_relat_1(u1_clvect_1(A),k2_zfmisc_1(k2_numbers,B)) ) ) ) )).
fof(d9_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_csspace4(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_csspace4(A,B),k1_numbers))) ) => ( C = k8_csspace4(A,B) <=> ! [D] : ( r2_hidden(D,k4_csspace4(A,B)) => k1_funct_1(C,D) = k2_seq_4(k7_csspace4(A,B,k6_csspace4(A,B,D))) ) ) ) ) ) )).
fof(d9_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_decomp_1(A,B) = k9_subset_1(u1_struct_0(A),B,k2_pre_topc(A,k1_tops_1(A,k2_pre_topc(A,B)))) ) ) )).
fof(d9_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r1_dickson(A,B,C) <=> ( r1_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,C) & r1_orders_2(A,E,D) ) ) ) ) ) ) ) ) )).
fof(d9_diff_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k9_diff_1(A,B,C) = k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,B),k1_funct_1(A,C)),k6_xcmplx_0(B,C)) ) ) ) )).
fof(d9_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v2_struct_0(A) => ( B = k5_dilworth(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> r5_waybel_4(A,k2_struct_0(A),C) ) ) ) ) & ( v2_struct_0(A) => ( B = k5_dilworth(A) <=> B = k1_xboole_0 ) ) ) ) ) )).
fof(d9_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( C = k9_dist_1(A,B) <=> ( k4_finseq_1(C) = k2_finseq_1(k4_card_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k3_xcmplx_0(k3_finseq_1(B),k1_funct_1(k4_dist_1(A,B),D)) ) ) ) ) ) ) ) )).
fof(d9_dtconstr,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => k13_dtconstr(A) = k4_trees_4(1,k3_pre_poly(k4_dtconstr(k5_dtconstr),A)) ) )).
fof(d9_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_dualsp01(B,A) <=> ? [C] : ( v1_xreal_0(C) & r1_xxreal_0(k5_numbers,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k3_funct_2(u1_struct_0(A),k1_numbers,B,D)),k3_xcmplx_0(C,k2_normsp_0(A,D))) ) ) ) ) ) )).
fof(d9_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k7_e_siec(A) = k10_xtuple_0(u1_e_siec(A)) ) )).
fof(d9_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => k6_ec_pf_1(A,B,C) = a_3_0_ec_pf_1(A,B,C) ) ) ) )).
fof(d9_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_ens_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A),A))) ) => ( B = k8_ens_1(A) <=> ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => k3_funct_2(k2_ens_1(A),A,B,C) = k3_ens_1(A,C) ) ) ) ) )).
fof(d9_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k6_entropy1(A) = k4_xcmplx_0(k18_rvsum_1(k4_entropy1(A))) ) )).
fof(d9_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( C = k13_eqrel_1(A,B) <=> ! [D] : ( m1_subset_1(D,A) => r2_tarski(D,k3_funct_2(A,B,C,D)) ) ) ) ) ) )).
fof(d9_euclid,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k17_euclid(A) = k1_funct_1(A,1) ) )).
fof(d9_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k9_euclid_3(A,B,C,D) = k4_subset_1(u1_struct_0(k15_euclid(A)),k8_euclid_3(A,B,C,D),k6_euclid_3(A,B,C,D)) ) ) ) ) )).
fof(d9_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k4_euclidlp(A,B,C,D) = a_4_1_euclidlp(A,B,C,D) ) ) ) ) )).
fof(d9_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_exchsort(B) ) => ( m1_exchsort(B,A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k9_xtuple_0(A),k9_xtuple_0(A)) & v3_funct_2(C,k9_xtuple_0(A),k9_xtuple_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(A)))) & B = k3_relat_1(C,A) ) ) ) ) )).
fof(d9_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r1_extpro_1(A,B,C,D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_partfun1(E,u1_struct_0(B)) ) => ( E = k6_extpro_1(A,B,C,D) <=> ? [F] : ( v7_ordinal1(F) & E = k5_extpro_1(A,B,C,D,F) & k3_extpro_1(A,B,C,E) = k2_compos_1(B) ) ) ) ) ) ) ) ) )).
fof(d9_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( r1_facirc_1(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => k1_funct_1(k5_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) ) ) ) ) ) )).
fof(d9_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => k9_ff_siec(A) = k2_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))),k4_relat_1(u1_struct_0(A))) ) )).
fof(d9_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v10_lattices(C) & l3_lattices(C) ) => ( C = k6_filter_0(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & D = k1_realset1(u2_lattices(A),B) & E = k1_realset1(u1_lattices(A),B) & C = g3_lattices(B,D,E) ) ) ) ) ) ) )).
fof(d9_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r1_filter_1(A,B) <=> r4_wellord1(k8_filter_1(A),k8_filter_1(B)) ) ) ) )).
fof(d9_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v18_lattices(C,A) & v21_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k7_filter_2(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v18_lattices(D,A) & v21_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,D) => r1_tarski(C,D) ) ) ) ) ) ) ) )).
fof(d9_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k9_fin_topo(A,B) = a_2_2_fin_topo(A,B) ) ) )).
fof(d9_finseq_1,axiom,( ! [A] : ! [B] : k10_finseq_1(A,B) = k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)) )).
fof(d9_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r4_finseq_8(A,B,C) <=> r1_tarski(k4_finseq_5(A,C),k4_finseq_5(A,B)) ) ) ) ) )).
fof(d9_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k8_fintopo2(A,B) = a_2_0_fintopo2(A,B) ) ) )).
fof(d9_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => k9_fintopo3(A,B,C) = k1_funct_1(k8_fintopo3(A,B),C) ) ) ) )).
fof(d9_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v4_fintopo6(B,A) <=> ( r1_xxreal_0(1,k3_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & E = k1_funct_1(B,C) & C != D & r2_tarski(k1_funct_1(B,D),k1_fin_topo(A,E)) & C != k1_nat_1(D,1) & D != k1_nat_1(C,1) ) ) ) ) ) ) ) ) )).
fof(d9_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A))) ) => ( C = k6_fomodel0(A,B) <=> ! [D] : ( m2_subset_1(D,k3_finseq_2(A),k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0))) => k3_funct_2(k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A,C,D) = k1_funct_1(k5_fomodel0(A,B,D),k6_xcmplx_0(k3_finseq_1(D),1)) ) ) ) ) ) )).
fof(d9_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => k9_fomodel1(A) = k6_subset_1(u1_struct_0(A),k2_tarski(u2_struct_0(A),u3_struct_0(A))) ) )).
fof(d9_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ! [D] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)) => ! [E] : ( m1_subset_1(E,B) => ( E = k8_fomodel2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(D,k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),G)) => E = k3_funct_2(k35_fomodel1(A),B,k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),k7_fomodel2(A,B,F,C),k1_nat_1(G,1)),D) ) ) ) ) ) ) ) ) ) )).
fof(d9_fomodel3,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( v1_fomodel3(C,A,B) <=> ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),A) => r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) ) ) ) ) ) )).
fof(d9_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => k6_fomodel4(A,B) = a_2_0_fomodel4(A,B) ) ) )).
fof(d9_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k4_freealg(A,B,C) = C ) ) ) )).
fof(d9_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : k9_fscirc_1(A,B,C) = k3_circcomb(k8_facirc_1(A,B,C,k1_facirc_1),k4_fscirc_1(A,B,C),k2_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)) )).
fof(d9_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => ( r4_fsm_1(A,B,C,D) <=> ! [E] : ( m2_finseq_1(E,A) => k4_fsm_1(A,B,C,u2_fsm_1(A,C),E) = k4_fsm_1(A,B,D,u2_fsm_1(A,D),E) ) ) ) ) ) ) )).
fof(d9_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v1_fsm_2(C,A) & v5_fsm_2(C,A) & l2_fsm_2(C,A,B) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ( E = k2_fsm_2(A,B,C,D) <=> r3_fsm_2(A,B,C,D,E) ) ) ) ) ) ) )).
fof(d9_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( ( ? [E] : ( m1_subset_1(E,k8_afinsq_1(A)) & k1_flang_1(A,E,C) = B ) => ( D = k7_fsm_3(A,B,C) <=> ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ( k1_flang_1(A,E,C) = B => D = E ) ) ) ) & ( ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => k1_flang_1(A,E,C) != B ) => ( D = k7_fsm_3(A,B,C) <=> D = B ) ) ) ) ) ) ) )).
fof(d9_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k9_ftacell1(A,B,C,D,E) = k21_gfacirc1(A,B,C) )).
fof(d9_funcop_1,axiom,( ! [A] : ! [B] : k17_funcop_1(A,B) = k7_funcop_1(k1_tarski(A),B) )).
fof(d9_funcsdom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_funcsdom(A) ) => ( v2_funcsdom(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => k1_rlvect_1(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,k1_rlvect_1(A,B,D),C) ) ) ) ) ) )).
fof(d9_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_relat_1(A) <=> ! [B] : ~ ( r2_hidden(B,k9_xtuple_0(A)) & v1_xboole_0(k1_funct_1(A,B)) ) ) ) )).
fof(d9_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) => ( E = k6_funct_2(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( r2_tarski(F,E) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) & r2_tarski(G,D) & F = k8_relset_1(A,B,C,G) ) ) ) ) ) ) ) ) ) )).
fof(d9_funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k8_funct_6(A,B) <=> ( k9_xtuple_0(C) = k9_xtuple_0(B) & ! [D] : ( r2_hidden(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k1_funct_2(A,k1_funct_1(B,D)) ) ) ) ) ) )).
fof(d9_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(B) => v1_xboole_0(A) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) ) => ( m1_funct_7(C,A,B) <=> ( k5_funct_7(C) = A & r1_tarski(k6_funct_7(C),B) ) ) ) ) )).
fof(d9_funct_8,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A = k1_funct_8 <=> ! [B] : ( v1_xreal_0(B) => k1_funct_1(A,B) = k1_absvalue(B) ) ) ) )).
fof(d9_functor0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( l1_functor0(C,A,B) => ( v7_functor0(C,A,B) <=> r1_relset_1(u1_struct_0(B),u1_struct_0(B),k6_partfun1(u1_struct_0(B)),k7_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),k6_partfun1(u1_struct_0(A)))) ) ) ) ) )).
fof(d9_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => k4_fvaluat1(A,B) = o_2_0_fvaluat1(A,B) ) ) ) )).
fof(d9_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k13_fvsum_1(A,B,C) = k4_rlvect_1(A,k11_fvsum_1(A,B,C)) ) ) ) )).
fof(d9_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k9_gate_5(A,B,C,D,E) = k38_gate_1(k2_gate_1(B,D),k2_gate_1(A,E),k2_gate_1(C,D),k2_gate_1(B,E),k1_xboole_0,k2_gate_1(C,E),k1_xboole_0) )).
fof(d9_gaussint,axiom,( k7_gaussint = k19_quofield(k6_gaussint) )).
fof(d9_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k4_gcd_1(A,B,C) <=> ( r2_tarski(D,B) & r4_gcd_1(A,D,C) ) ) ) ) ) ) )).
fof(d9_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_geomtrap(A,B,C) = g1_geomtrap(u1_struct_0(A),k6_geomtrap(A),k5_geomtrap(A,B,C)) ) ) ) )).
fof(d9_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k9_gfacirc1(A,B,C) = k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)),k4_facirc_1) )).
fof(d9_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => k9_glib_000(A) = k1_funct_1(A,k4_glib_000) ) )).
fof(d9_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k6_glib_001(A,B) = k4_finseq_5(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B) ) ) )).
fof(d9_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k4_glib_002(A) = k1_card_1(k3_glib_002(A)) ) )).
fof(d9_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => k7_glib_003(A) = k1_funct_1(A,k4_glib_003) ) )).
fof(d9_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k8_glib_004(A,B) = k4_tarski(k17_funcop_1(B,k5_numbers),k1_xboole_0) ) ) )).
fof(d9_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_glib_005(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k7_glib_000(A))) => ( D = k2_glib_005(A,B,C) <=> ! [E] : ( r2_tarski(E,D) <=> ( r3_glib_005(A,B,C,E) | r4_glib_005(A,B,C,E) ) ) ) ) ) ) ) )).
fof(d9_goboard1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( r1_goboard1(A,B,C) <=> ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) & k7_partfun1(A,B,D) = k3_matrix_0(A,C,E,F) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(B)) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(C)) & k7_partfun1(A,B,D) = k3_matrix_0(A,C,E,F) & k7_partfun1(A,B,k1_nat_1(D,1)) = k3_matrix_0(A,C,G,H) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(E,G)),k9_complex1(k6_xcmplx_0(F,H))) = 1 ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( m3_goedcpuc(C,A,B) <=> ( k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = B & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k1_nat_1(D,1)) = k2_xboole_0(k1_funct_1(C,D),k4_goedcpuc(k5_goedcpuc(A,D))) ) ) ) ) ) ) )).
fof(d9_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( v4_graph_1(A) <=> ! [B] : ~ ( r2_tarski(B,u4_struct_0(A)) & k1_funct_1(u1_graph_1(A),B) = k1_funct_1(u2_graph_1(A),B) ) ) ) )).
fof(d9_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_graph_1(B,A) => ( v3_graph_2(B,A) <=> ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & r1_graph_2(A,C,B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(E,k3_finseq_1(C)) & k1_funct_1(C,D) = k1_funct_1(C,E) ) => ( r1_xxreal_0(E,D) | ( D = 1 & E = k3_finseq_1(C) ) ) ) ) ) ) ) ) ) )).
fof(d9_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_2(C,u4_struct_0(A),k9_graph_3(A)) => ( r2_tarski(B,k1_graph_3(A,k10_xtuple_0(C))) => k10_graph_3(A,B,C) = o_3_1_graph_3(A,B,C) ) ) ) ) )).
fof(d9_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : k5_graph_5(A,B,C,D) = a_4_0_graph_5(A,B,C,D) ) ) ) )).
fof(d9_graphsp,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k3_finseq_2(k1_numbers)) => ! [B] : ( v7_ordinal1(B) => k13_graphsp(A,B) = a_2_2_graphsp(A,B) ) ) )).
fof(d9_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => k7_grcat_1(A) = u1_grcat_1(A) ) )).
fof(d9_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k5_group_1(A,B,C) = k1_binop_1(k4_group_1(A),B,C) ) ) ) )).
fof(d9_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(k15_group_2(A,C),k15_group_2(A,C))) & v1_group_10(D,B,k15_group_2(A,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(k15_group_2(A,C),k15_group_2(A,C))))) ) => ( D = k9_group_10(A,B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),k1_funct_2(k15_group_2(A,C),k15_group_2(A,C)),D,E) = k8_group_10(A,B,C,E) ) ) ) ) ) ) )).
fof(d9_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_19(C,A,B) => ( v2_group_19(C,A,B) <=> ( ! [D] : ( m1_subset_1(D,A) => m1_group_2(k2_group_19(A,C,D),B) ) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)) & v1_group_6(D,k3_group_7(A,C),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)))) & v3_funct_2(D,u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & v1_group_19(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( r1_struct_0(k3_group_7(A,C),E) => k1_funct_1(D,E) = k5_group_19(A,B,E) ) ) ) ) ) ) ) ) )).
fof(d9_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => k8_group_2(A,B) = u1_struct_0(B) ) ) )).
fof(d9_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r3_group_3(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B = k4_group_3(A,C,D) ) ) ) ) ) )).
fof(d9_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => k8_group_4(A,B,C) = k5_group_4(A,k4_subset_1(u1_struct_0(A),k8_group_2(A,B),k8_group_2(A,C))) ) ) ) )).
fof(d9_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k9_group_5(A) = k8_group_5(A,k7_group_2(A),k7_group_2(A)) ) )).
fof(d9_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ( D = k9_group_6(A,B,C) <=> u1_struct_0(D) = a_3_0_group_6(A,B,C) ) ) ) ) ) )).
fof(d9_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,k2_group_7(A,B)) ) => ( C = k3_group_7(A,B) <=> ! [D] : ( r2_hidden(D,u1_struct_0(C)) <=> ? [E] : ( m1_subset_1(E,k4_card_3(k12_pralg_1(A,B))) & ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(A)) & ? [G] : ( v1_relat_1(G) & v4_relat_1(G,F) & v1_funct_1(G) & v1_partfun1(G,F) & E = k1_group_1(k2_group_7(A,B)) & D = k1_funct_4(E,G) & ! [H] : ~ ( r2_tarski(H,F) & ! [I] : ( ( ~ v2_struct_0(I) & v2_group_1(I) & l3_algstr_0(I) ) => ~ ( I = k1_funct_1(B,H) & r2_tarski(k1_funct_1(G,H),u1_struct_0(I)) & k1_funct_1(G,H) != k1_group_1(I) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => k5_group_9(A,B) = g1_group_9(A,u1_struct_0(B),u2_algstr_0(B),u1_group_9(A,B)) ) )).
fof(d9_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v2_hahnban1(C,A,B) <=> k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_struct_0(B)) = k4_struct_0(A) ) ) ) ) )).
fof(d9_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_hermitan(A,B,C) = k3_complex1(k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(k1_complfld),B,C,C)) ) ) ) )).
fof(d9_heyting1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))),u1_struct_0(k11_normform(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))),u1_struct_0(k11_normform(A))))) ) => ( B = k9_heyting1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_normform(A))) => k4_binop_1(u1_struct_0(k11_normform(A)),B,C,D) = k9_normform(A,k7_heyting1(A,k3_heyting1(A,C),k3_heyting1(A,D))) ) ) ) ) )).
fof(d9_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k4_hilbert1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k4_ordinal1,2),A),B) ) ) )).
fof(d9_hilbert2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k1_hilbert1) & v1_funct_1(A) & v1_partfun1(A,k1_hilbert1) ) => ( A = k2_hilbert2 <=> ( k1_funct_1(A,k2_hilbert1) = k2_trees_4(k1_hilbert1,k2_hilbert1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_funct_1(A,k1_hilbert2(B)) = k2_trees_4(k1_hilbert1,k1_hilbert2(B)) ) & ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k1_hilbert1) & v1_funct_1(D) & v3_trees_2(D) & ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k1_hilbert1) & v1_funct_1(E) & v3_trees_2(E) & D = k1_funct_1(A,B) & E = k1_funct_1(A,C) & k1_funct_1(A,k4_hilbert1(B,C)) = k6_trees_4(k4_hilbert1(B,C),D,E) & k1_funct_1(A,k3_hilbert1(B,C)) = k6_trees_4(k3_hilbert1(B,C),D,E) ) ) ) ) ) ) ) )).
fof(d9_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k10_hilbert4(A,B) = k1_funct_1(k9_hilbert4(A),B) ) ) )).
fof(d9_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k9_huffman1(A) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & C = a_1_1_huffman1(A) & B = k1_xxreal_2(C) ) ) ) ) )).
fof(d9_hurwitz,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(B,k1_complfld) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( B = k7_hurwitz(A) <=> ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(u1_struct_0(k1_complfld),B,C) = k8_group_1(k1_complfld,k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),k4_algstr_0(k1_complfld,k1_group_1(k1_complfld)),C),k2_complfld(k8_nat_1(u1_struct_0(k1_complfld),A,C))) ) ) ) ) )).
fof(d9_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k9_idea_1(A,B,C) = k8_idea_1(A,k4_nat_d(k3_xcmplx_0(k7_idea_1(A,B),k7_idea_1(A,C)),k1_nat_1(k5_series_1(2,A),1))) ) ) ) )).
fof(d9_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( m2_ideal_1(C,A,B) <=> ! [D] : ~ ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m2_subset_1(F,u1_struct_0(A),B) => k7_partfun1(u1_struct_0(A),C,D) != k6_algstr_0(A,E,F) ) ) ) ) ) ) ) )).
fof(d9_incproj,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ( v5_incproj(A) <=> ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & r1_incsp_1(A,D,B) & r1_incsp_1(A,D,C) ) ) ) ) ) )).
fof(d9_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ( v6_incsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u2_incsp_1(A)) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) ) ) ) ) ) )).
fof(d9_index_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ( m3_index_1(E,A,B,C,D) => ! [F] : ( ( ~ v2_struct_0(F) & ~ v11_struct_0(F) & v2_cat_1(F) & v3_cat_1(F) & v4_cat_1(F) & v5_cat_1(F) & v6_cat_1(F) & v3_cat_5(F) & l1_cat_1(F) ) => ( m4_index_1(F,A,B,C,D,E) <=> ( ! [G] : ( m1_subset_1(G,A) => m1_subset_1(k2_index_1(A,k1_xfamily(E),G),u1_struct_0(F)) ) & ! [G] : ( m1_subset_1(G,B) => m1_subset_1(k4_tarski(k4_tarski(k2_index_1(A,k1_xfamily(E),k3_funct_2(B,A,C,G)),k2_index_1(A,k1_xfamily(E),k3_funct_2(B,A,D,G))),k7_index_1(B,k3_relat_1(C,k1_xfamily(E)),k3_relat_1(D,k1_xfamily(E)),k8_index_1(A,B,C,D,E),G)),u4_struct_0(F)) ) ) ) ) ) ) ) ) ) )).
fof(d9_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k4_int_1(A,B) = k1_int_1(k7_xcmplx_0(A,B)) ) ) )).
fof(d9_int_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_int_3(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1))) ) => ( m1_int_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( D != k4_struct_0(A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( C = k1_algstr_0(A,k6_algstr_0(A,E,D),F) & ~ ( F != k4_struct_0(A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k4_ordinal1,B,D),k3_funct_2(u1_struct_0(A),k4_ordinal1,B,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_integr15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => k7_integr15(A,B,C,D) = k74_valued_2(B,B,k1_euclid(A),k1_euclid(A),C,D) ) ) ) )).
fof(d9_integr16,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => k8_integr16(A,B,C) = k2_xcmplx_0(k4_integra5(A,B,k5_comseq_3(k1_numbers,C)),k3_xcmplx_0(k4_integra5(A,B,k6_comseq_3(k1_numbers,C)),k7_complex1)) ) ) ) )).
fof(d9_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(C,D) => k6_integr18(A,B,C,D) = k5_integr18(A,k3_integra5(C,D),B) ) & ( ~ r1_xxreal_0(C,D) => k6_integr18(A,B,C,D) = k4_algstr_0(A,k5_integr18(A,k3_integra5(D,C),B)) ) ) ) ) ) ) )).
fof(d9_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => k7_integra1(A,B,C) = k18_rvsum_1(k5_integra1(A,B,C)) ) ) ) )).
fof(d9_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => k9_interva1(A,B,C) = k4_setfam_1(B,C) ) ) ) )).
fof(d9_intpro_1,axiom,( k2_intpro_1 = k12_finseq_1(k4_ordinal1,k5_numbers) )).
fof(d9_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,B,C) => ! [G] : ( m2_cat_1(G,B,C) => ! [H] : ( m2_nattra_1(H,A,B,D,E) => ! [I] : ( m2_nattra_1(I,B,C,F,G) => k6_isocat_1(A,B,C,D,E,F,G,H,I) = k5_nattra_1(A,C,k9_cat_1(A,B,C,D,F),k9_cat_1(A,B,C,E,F),k9_cat_1(A,B,C,E,G),k4_isocat_1(A,B,C,D,E,H,F),k5_isocat_1(A,B,C,F,G,E,I)) ) ) ) ) ) ) ) ) ) )).
fof(d9_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,k6_cat_2(B,C)) => ! [E] : ( m2_cat_1(E,A,k6_cat_2(B,C)) => ! [F] : ( m2_nattra_1(F,A,k6_cat_2(B,C),D,E) => k11_isocat_2(A,B,C,D,E,F) = k4_isocat_1(A,k6_cat_2(B,C),B,D,E,F,k12_cat_2(B,C)) ) ) ) ) ) ) )).
fof(d9_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ( B = k9_jgraph_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,C) = k8_jgraph_4(A,C) ) ) ) ) )).
fof(d9_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k9_jgraph_6(A,B,C) = a_3_4_jgraph_6(A,B,C) ) ) ) )).
fof(d9_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( B = k9_jordan5d(A) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k18_pscomp_1(k3_topreal1(2,A)) ) ) ) ) )).
fof(d9_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( B = k9_jordan6(A) <=> ( r1_topreal1(k15_euclid(2),k22_pscomp_1(A),k18_pscomp_1(A),B) & k9_subset_1(u1_struct_0(k15_euclid(2)),k8_jordan6(A),B) = k2_tarski(k18_pscomp_1(A),k22_pscomp_1(A)) & k4_subset_1(u1_struct_0(k15_euclid(2)),k8_jordan6(A),B) = A & ~ r1_xxreal_0(k18_euclid(k1_jordan5c(k8_jordan6(A),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k18_pscomp_1(A),k22_pscomp_1(A))),k18_euclid(k2_jordan5c(B,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k22_pscomp_1(A),k18_pscomp_1(A)))) ) ) ) ) ) )).
fof(d9_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v14_quantal1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) ) => ( C = k8_knaster(A,B) <=> ? [D] : ( ~ v1_xboole_0(D) & v2_knaster(D,A) & v3_knaster(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & D = a_2_2_knaster(A,B) & C = k7_knaster(A,D) ) ) ) ) ) ) )).
fof(d9_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ! [E] : ( m1_kolmog01(E,C,A,B) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A))) => ( F = k7_kolmog01(A,B,C,D,E) <=> ! [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) => ( r2_tarski(G,F) <=> ? [H] : ( ~ v1_xboole_0(H) & v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(C)) & ? [I] : ( m2_kolmog01(I,A,B,C,H,E) & r1_tarski(H,D) & G = k1_setfam_1(k2_relset_1(B,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_lang1(C) & l2_lang1(C) ) => ( C = k8_lang1(A,B) <=> ( u1_struct_0(C) = k2_tarski(A,B) & u2_lang1(C) = A & u1_lang1(C) = k2_tarski(k4_tarski(A,k10_finseq_1(B,A)),k4_tarski(A,k1_xboole_0)) ) ) ) )).
fof(d9_laplace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k11_laplace(A,B,C) = k4_matrix_3(A,B,k4_matrix_0(u1_struct_0(A),k10_laplace(u1_struct_0(A),C))) ) ) ) )).
fof(d9_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_lattad_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_lattices(A,D,B) & r1_lattices(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_lattices(A,E,B) & r1_lattices(A,E,C) ) => r1_lattices(A,E,D) ) ) ) ) ) ) ) )).
fof(d9_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_lattice3(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r1_orders_2(A,D,C) ) ) ) ) ) )).
fof(d9_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m2_lattice4(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( r2_tarski(k4_lattices(A,C,D),B) & r2_tarski(k7_lattices(A,C),B) ) ) ) ) ) ) ) )).
fof(d9_lattice5,axiom,( ! [A] : k5_lattice5(A) = k2_xboole_0(A,k1_enumset1(k1_tarski(A),k1_tarski(k1_tarski(A)),k1_tarski(k1_tarski(k1_tarski(A))))) )).
fof(d9_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => k8_lattice8(A,B,C,D) = k6_lattice8(A,B,C,D,k7_lattice5(A,B,C)) ) ) ) ) )).
fof(d9_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_latticea(A,B) = a_2_3_latticea(A,B) ) ) )).
fof(d9_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( v9_lattices(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,k1_lattices(A,B,C)) = B ) ) ) ) )).
fof(d9_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_lexbfs(B,A) => ( v4_lexbfs(B,A) <=> ( k5_lexbfs(A,B,k5_numbers) = k1_xboole_0 & v2_lexbfs(B) & v13_glib_000(B) & k39_glib_000(B) = k15_glib_000(A) & ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(k39_glib_000(B),C) & ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ~ ( ~ r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & k5_lexbfs(A,B,k1_nat_1(C,1)) = k1_funct_4(k5_lexbfs(A,B,C),k17_funcop_1(D,k7_nat_d(k39_glib_000(B),C))) ) ) ) ) ) ) ) ) )).
fof(d9_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( D = k4_lfuzzy_1(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_funct_2(k2_zfmisc_1(A,A),k1_rcomp_1(k5_numbers,1))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k2_zfmisc_1(A,A),k1_rcomp_1(k5_numbers,1))))) & D = k8_nat_1(k9_funct_2(k2_zfmisc_1(A,A),k1_rcomp_1(k5_numbers,1)),E,C) & k8_nat_1(k9_funct_2(k2_zfmisc_1(A,A),k1_rcomp_1(k5_numbers,1)),E,k5_numbers) = k4_fuzzy_4(A,A) & ! [F] : ( v7_ordinal1(F) => ? [G] : ( v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & k8_nat_1(k9_funct_2(k2_zfmisc_1(A,A),k1_rcomp_1(k5_numbers,1)),E,F) = G & k8_nat_1(k9_funct_2(k2_zfmisc_1(A,A),k1_rcomp_1(k5_numbers,1)),E,k1_nat_1(F,1)) = k3_fuzzy_4(A,A,A,G,B) ) ) ) ) ) ) ) ) )).
fof(d9_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k8_lopban_1(A,B)))) => ( C = k10_lopban_1(A,B) <=> ! [D] : ( r2_tarski(D,C) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_lopban_1(D,A,B) & v2_lopban_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(d9_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lopban_2(A) ) => ( v2_lopban_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k6_algstr_0(A,B,C)),k3_xcmplx_0(k2_normsp_0(A,B),k2_normsp_0(A,C))) ) ) ) ) )).
fof(d9_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k5_lopban_3(A,B) <=> ( k1_normsp_0(A,C,k5_numbers) = k5_struct_0(A) & ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,C,k1_nat_1(D,1)) = k6_algstr_0(A,k1_normsp_0(A,C,D),B) ) ) ) ) ) ) )).
fof(d9_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( E = k8_lopban_4(A,B,C,D) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,D) => k8_nat_1(u1_struct_0(A),E,F) = k6_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),F),k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,C)),D),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,C)),k7_nat_d(D,F)))) ) & ( ~ r1_xxreal_0(F,D) => k8_nat_1(u1_struct_0(A),E,F) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(d9_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ) )).
fof(d9_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k13_lpspacc1(A,B,C) = a_3_0_lpspacc1(A,B,C) ) ) ) )).
fof(d9_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k10_lpspace1(A,B,C) = g1_rlvect_1(k9_lpspace1(A,B,C),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k9_lpspace1(A,B,C)),k1_ideal_1(k7_lpspace1(A),k9_lpspace1(A,B,C)),k1_lpspace1(k7_lpspace1(A),k9_lpspace1(A,B,C))) ) ) ) )).
fof(d9_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => k8_lpspace2(A,B,C,D) = k5_lpspace2(A,B,C,k8_lpspace1(A,k5_numbers),D) ) ) ) ) )).
fof(d9_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k9_ltlaxio1(A,B) = k1_ltlaxio1(k8_ltlaxio1(k1_ltlaxio1(A),k1_ltlaxio1(B))) ) ) )).
fof(d9_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => k12_ltlaxio3(A) = k4_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k8_ltlaxio3(A)),k3_finseq_1(k2_ltlaxio2(k8_ltlaxio3(A)))),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(k9_ltlaxio3(A))),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(k9_ltlaxio3(A)))))) ) )).
fof(d9_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => k8_ltlaxio4(A) = a_1_5_ltlaxio4(A) ) )).
fof(d9_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_margrel1(A)) => ( B = k3_margrel1(A) <=> ! [C] : ( m2_finseq_1(C,A) => ~ r2_tarski(C,B) ) ) ) ) )).
fof(d9_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k9_mathmorp(A,B,C,D) = k7_subset_1(u1_struct_0(A),B,k7_mathmorp(A,B,C,D)) ) ) ) ) )).
fof(d9_matrix16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( r3_matrix16(A,B,C) <=> ( k3_finseq_1(C) = k1_matrix_0(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & r1_xxreal_0(D,E) ) => k3_matrix_0(u1_struct_0(A),B,D,E) = k1_funct_1(C,k2_xcmplx_0(k5_int_1(k6_xcmplx_0(E,D),k3_finseq_1(C)),1)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & r1_xxreal_0(E,D) ) => k3_matrix_0(u1_struct_0(A),B,D,E) = k1_funct_1(k5_fvsum_1(A,C),k2_xcmplx_0(k5_int_1(k6_xcmplx_0(E,D),k3_finseq_1(C)),1)) ) ) ) ) ) ) ) ) )).
fof(d9_matrix_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => k9_matrix_0(A) = k3_card_3(k2_funct_6(A)) ) )).
fof(d9_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v3_matrix_1(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => ( r1_xxreal_0(E,D) | k3_matrix_0(u1_struct_0(B),C,D,E) = k4_struct_0(B) ) ) ) ) ) ) ) ) )).
fof(d9_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => k12_matrix_3(A,B,C) = k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),k6_finsub_1(k9_matrix_1(A)),k11_matrix_3(A,B,C)) ) ) ) )).
fof(d9_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ( B = k10_matrixc1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => k9_matrix_5(B,C) = k17_rvsum_1(k7_matrix_0(k2_numbers,A,C)) ) ) ) ) ) ) )).
fof(d9_matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrixj1(B,u1_struct_0(A)) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_matrixj1(D,u1_struct_0(A)) & m2_finseq_1(D,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( D = k24_matrixj1(A,B,C) <=> ( k4_finseq_1(D) = k4_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k2_matrixj1(u1_struct_0(A),D,E) = k6_matrix_3(A,k2_matrixj1(u1_struct_0(A),B,E),k7_partfun1(u1_struct_0(A),C,E)) ) ) ) ) ) ) ) ) )).
fof(d9_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( B = k9_matrixr1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & k1_matrix_0(B) = 1 & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k1_funct_1(B,C) = k9_finseq_1(k1_funct_1(A,C)) ) ) ) ) ) ) ) )).
fof(d9_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_pre_topc(C) & l1_pre_topc(C) ) => ( C = k3_matroid0(A,B) <=> ( u1_struct_0(C) = u1_struct_0(B) & k1_matroid0(C) = a_2_0_matroid0(A,B) ) ) ) ) ) )).
fof(d9_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v5_matrprob(A) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => k18_rvsum_1(k1_matrprob(k1_numbers,A,B)) = 1 ) ) ) ) )).
fof(d9_measure6,axiom,( ! [A] : ( v3_membered(A) => k5_measure6(A) = k1_setfam_1(a_1_1_measure6(A)) ) )).
fof(d9_measure8,axiom,( k7_measure8 = k2_funct_1(k1_nagata_2) )).
fof(d9_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k12_member_1(A,B) = a_2_4_member_1(A,B) ) ) )).
fof(d9_membered,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( r1_tarski(A,B) <=> ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r2_hidden(C,B) ) ) ) ) )).
fof(d9_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( l1_memstr_0(B,A) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( v4_memstr_0(C,A,B) <=> r1_xboole_0(k9_xtuple_0(C),k1_tarski(k4_struct_0(B))) ) ) ) ) )).
fof(d9_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( D = k9_mesfun7c(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k1_funct_1(k4_mesfunc5(A,k2_numbers,B,E),C) ) ) ) ) ) ) )).
fof(d9_mesfunc5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v8_mesfunc5(A) <=> ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(B,k8_nat_1(k6_numbers,A,D)) ) ) ) ) ) ) )).
fof(d9_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( C = k7_mesfunc8(A,B) <=> ( k1_relset_1(A,C) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) => k12_supinf_2(C,D) = k2_mesfunc5(k3_mesfunc5(A,B,D)) ) ) ) ) ) ) ) )).
fof(d9_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( v9_metric_1(A) <=> v5_metric_1(u1_metric_1(A),u1_struct_0(A)) ) ) )).
fof(d9_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => k6_metric_2(A) = a_1_2_metric_2(A) ) )).
fof(d9_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_midsp_1(B,A) => ! [C] : ( m1_midsp_1(C,A) => ! [D] : ( m1_midsp_1(D,A) => ( D = k7_midsp_1(A,B,C) <=> ? [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & B = k5_midsp_1(A,E) & C = k5_midsp_1(A,F) & k3_domain_1(u1_struct_0(A),u1_struct_0(A),E) = k2_domain_1(u1_struct_0(A),u1_struct_0(A),F) & D = k5_midsp_1(A,k1_domain_1(u1_struct_0(A),u1_struct_0(A),k2_domain_1(u1_struct_0(A),u1_struct_0(A),E),k3_domain_1(u1_struct_0(A),u1_struct_0(A),F))) ) ) ) ) ) ) ) )).
fof(d9_midsp_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_midsp_2(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( r1_midsp_2(A,B,C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( D = k6_midsp_2(A,B,C) <=> ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(A,A,u1_struct_0(B),C,E,k4_binop_1(A,D,E,F)) = k2_binop_1(A,A,u1_struct_0(B),C,k4_binop_1(A,D,E,F),F) ) ) ) ) ) ) ) ) )).
fof(d9_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( ( v4_midsp_2(C,B) & l1_midsp_2(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) => ( F = k8_midsp_3(A,B,C,D,E) <=> ! [G] : ( m1_midsp_3(G,A) => k5_midsp_3(A,u1_struct_0(u1_midsp_2(B,C)),F,G) = k9_midsp_2(B,C,D,k5_midsp_3(A,u1_struct_0(B),E,G)) ) ) ) ) ) ) ) ) )).
fof(d9_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => k9_mmlquery(A,B,C,D) = a_4_4_mmlquery(A,B,C,D) ) ) ) )).
fof(d9_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k6_mod_2(A,B) = g1_mod_2(A,B,B,k3_struct_0(B)) ) ) )).
fof(d9_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => k11_modal_1(A) = k7_trees_2(k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1)),k14_trees_3(k5_numbers),A) ) )).
fof(d9_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( m4_modcat_1(C,A,k4_modcat_1(A,B)) => k6_modcat_1(A,B,C) = k3_mod_2(A,C) ) ) ) )).
fof(d9_modelc_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => k9_modelc_1(A) = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,2),A) ) )).
fof(d9_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( A = k9_modelc_2 <=> ( ! [B] : ( r2_tarski(B,A) => m2_finseq_1(B,k4_ordinal1) ) & ! [B] : ( v7_ordinal1(B) => r2_tarski(k2_modelc_2(B),A) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => r2_tarski(k3_modelc_2(B),A) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k4_modelc_2(B,C),A) ) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k5_modelc_2(B,C),A) ) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => r2_tarski(k6_modelc_2(B),A) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k7_modelc_2(B,C),A) ) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k8_modelc_2(B,C),A) ) ) ) & ! [B] : ( ~ v1_xboole_0(B) => ( ( ! [C] : ( r2_tarski(C,B) => m2_finseq_1(C,k4_ordinal1) ) & ! [C] : ( v7_ordinal1(C) => r2_tarski(k2_modelc_2(C),B) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) => r2_tarski(k3_modelc_2(C),B) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k4_modelc_2(C,D),B) ) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k5_modelc_2(C,D),B) ) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,B) => r2_tarski(k6_modelc_2(C),B) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k7_modelc_2(C,D),B) ) ) ) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k8_modelc_2(C,D),B) ) ) ) ) => r1_tarski(A,B) ) ) ) ) ) )).
fof(d9_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( l1_modelc_3(B,A) => ! [C] : ( l1_modelc_3(C,A) => ( r4_modelc_3(A,B,C) <=> ( r2_modelc_3(A,B,C) | r3_modelc_3(A,B,C) ) ) ) ) ) )).
fof(d9_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k9_moebius2(A) = k8_nat_3(k8_newton,k8_moebius2(A)) ) )).
fof(d9_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v9_monoid_0(B,A) <=> ( v1_setwiseo(B,A) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( k4_binop_1(A,B,C,D) = k3_binop_1(A,B) => ( C = D & D = k3_binop_1(A,B) ) ) ) ) ) ) ) ) )).
fof(d9_monoid_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( ( v1_group_1(A) => k20_monoid_1(A) = g4_algstr_0(k1_zfmisc_1(u1_struct_0(A)),k19_monoid_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A)),k6_domain_1(u1_struct_0(A),k3_binop_1(u1_struct_0(A),u2_algstr_0(A)))) ) & ( ~ v1_group_1(A) => k20_monoid_1(A) = g3_algstr_0(k1_zfmisc_1(u1_struct_0(A)),k19_monoid_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A))) ) ) ) )).
fof(d9_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => k6_msafree(A,B,C) = k4_tarski(C,u1_struct_0(A)) ) ) ) )).
fof(d9_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,B)) => ( C = k6_msafree2(A,B) <=> ( r1_msualg_3(A,k5_msafree2(A,B),B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ! [F] : ( ( r2_tarski(F,k7_msafree(A,u3_msualg_1(A,B),D)) & F = k1_trees_4(k4_tarski(E,D)) & r2_tarski(E,k1_funct_1(u3_msualg_1(A,B),D)) ) => k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,B),C,D),F) = E ) ) ) ) ) ) ) )).
fof(d9_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( v8_msafree4(C,A,B) <=> ! [D] : ( m2_pboole(D,u1_struct_0(A),k13_msafree(A,B),u3_msualg_1(A,C)) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ~ ( r8_pboole(u1_struct_0(A),E,k13_msafree(A,B)) & ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) => ~ ( r1_msualg_3(A,C,C,F) & r8_pboole(u1_struct_0(A),D,k1_msafree(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C),E,F)) ) ) ) ) ) ) ) ) ) )).
fof(d9_msafree5,axiom,( ! [A] : ( v3_finseq_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k2_msafree5(A,B) = a_2_0_msafree5(A,B) ) ) )).
fof(d9_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ! [E] : ( m2_pboole(E,u1_struct_0(A),C,u3_msualg_1(A,B)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finset_1(F) & v3_trees_2(F) ) => ( r1_msaterm(A,B,C,D,E,F) <=> ( k9_xtuple_0(F) = k9_xtuple_0(D) & ! [G] : ( m1_trees_1(G,k9_xtuple_0(F)) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k1_funct_1(C,H)) => ( k1_funct_1(D,G) = k4_tarski(I,H) => k1_funct_1(F,G) = k3_funct_2(k1_funct_1(C,H),k1_funct_1(u3_msualg_1(A,B),H),k1_msualg_3(u1_struct_0(A),C,u3_msualg_1(A,B),E,H),I) ) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,B),H)) => ( k1_funct_1(D,G) = k4_tarski(I,H) => k1_funct_1(F,G) = I ) ) ) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ( k1_funct_1(D,G) = k4_tarski(H,u1_struct_0(A)) => k1_funct_1(F,G) = k1_funct_1(k5_msualg_1(A,H,B),k2_trees_9(F,G)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k7_msualg_1(A) = k17_funcop_1(k5_numbers,u1_struct_0(A)) ) )).
fof(d9_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ( m1_msualg_2(C,A,B) <=> ( m3_pboole(u3_msualg_1(A,C),u1_struct_0(A),u3_msualg_1(A,B)) & ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),D,u3_msualg_1(A,C)) => ( v3_msualg_2(D,A,B) & r8_pboole(u4_struct_0(A),u4_msualg_1(A,C),k4_msualg_2(A,B,D)) ) ) ) ) ) ) ) ) )).
fof(d9_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r3_msualg_3(A,B,C,D) <=> ( r1_msualg_3(A,B,C,D) & v1_msualg_3(D) ) ) ) ) ) ) )).
fof(d9_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v4_msualg_6(C,A,B) <=> ! [D] : ( m1_msualg_6(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ! [G] : ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E)) => r2_hidden(k4_tarski(k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E),F),k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E),G)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E)) ) ) ) ) ) ) ) )).
fof(d9_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_mycielsk(B,A) => ! [C] : ( m1_mycielsk(C,k2_xcmplx_0(k3_xcmplx_0(2,A),1)) => ( C = k6_mycielsk(A,B) <=> u1_orders_2(C) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(u1_orders_2(B),a_2_0_mycielsk(A,B)),a_2_1_mycielsk(A,B)),k2_zfmisc_1(k1_tarski(k3_xcmplx_0(2,A)),k6_subset_1(k3_xcmplx_0(2,A),A))),k2_zfmisc_1(k6_subset_1(k3_xcmplx_0(2,A),A),k1_tarski(k3_xcmplx_0(2,A)))) ) ) ) ) )).
fof(d9_nagata_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( D = k5_nagata_1(A,B,C) <=> ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k3_xxreal_0(B,k1_funct_1(C,E)) ) ) ) ) ) )).
fof(d9_nat_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) ) => ( B = k13_nat_3(A) <=> ( k13_pre_poly(B) = k22_pre_poly(k8_newton,k12_nat_3(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k22_pre_poly(k8_newton,k12_nat_3(A))) => k1_funct_1(B,C) = k1_newton(C,k11_nat_3(A,C)) ) ) ) ) ) ) )).
fof(d9_nat_lat,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat))) ) => ( A = k9_nat_lat <=> ! [B] : ( m2_subset_1(B,k4_ordinal1,k6_nat_lat) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k6_nat_lat) => k4_binop_1(k6_nat_lat,A,B,C) = k5_nat_d(B,C) ) ) ) ) )).
fof(d9_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( ( r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) ) => ! [F] : ( m2_nattra_1(F,A,B,C,D) => ! [G] : ( m2_nattra_1(G,A,B,D,E) => k5_nattra_1(A,B,C,D,E,F,G) = k3_nattra_1(A,B,C,D,E,F,G) ) ) ) ) ) ) ) ) )).
fof(d9_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r5_ncfcont1(A,B,C) <=> ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),D),k1_relset_1(u1_struct_0(A),B)) & v9_clvect_1(D,A) & k7_clvect_1(A,D) = C ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,u1_struct_0(A),D,B)) & k7_partfun1(k1_numbers,B,C) = k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,u1_struct_0(A),D,B)) ) ) ) ) ) ) ) ) )).
fof(d9_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( r2_ndiff_1(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k16_lopban_1(A,B))))) ) => ( E = k4_ndiff_1(A,B,C,D) <=> ( k1_relset_1(u1_struct_0(A),E) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,D) => k7_partfun1(u1_struct_0(k16_lopban_1(A,B)),E,F) = k3_ndiff_1(A,B,C,F) ) ) ) ) ) ) ) ) ) )).
fof(d9_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( r2_ndiff_5(A,B,C,D,E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B))))) ) => ( F = k6_ndiff_5(A,B,C,D,E) <=> ( k1_relset_1(u1_struct_0(k14_prvect_2(A)),F) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(k14_prvect_2(A))) => ( r2_tarski(G,E) => k7_partfun1(u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B)),F,G) = k5_ndiff_5(A,B,C,D,G) ) ) ) ) ) ) ) ) ) )).
fof(d9_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( r4_ndiff_7(A,B,C,D,E) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(k7_prvect_3(A,B)),E)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k7_prvect_3(A,B))) => ( r2_tarski(F,D) => r2_ndiff_7(A,B,C,F,k2_partfun1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C),E,D)) ) ) ) ) ) ) ) ) )).
fof(d9_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => k4_necklace(A) = k2_necklace(k1_necklace(A)) ) )).
fof(d9_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ( k2_net_1(A) != k1_xboole_0 => ! [C] : ( C = k6_net_1(A,B) <=> ( ( r2_tarski(B,u1_struct_0(A)) => C = k1_tarski(B) ) & ( r2_tarski(B,u4_struct_0(A)) => C = k4_net_1(A,B) ) ) ) ) ) ) )).
fof(d9_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r5_nfcont_1(A,B,C,D) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(F,C) & r2_tarski(G,C) ) => r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),D,F),k7_partfun1(u1_struct_0(B),D,G))),k3_xcmplx_0(E,k2_normsp_0(A,k5_algstr_0(A,F,G)))) ) ) ) ) ) ) ) ) ) )).
fof(d9_normform,axiom,( ! [A] : k8_normform(A) = a_1_1_normform(A) )).
fof(d9_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k8_normsp_3(A,B,C) = k4_normsp_3(B,k2_relset_1(u1_struct_0(B),C)) ) ) ) )).
fof(d9_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => k6_numpoly1(A) = a_1_0_numpoly1(A) ) )).
fof(d9_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)))) ) => ( B = k13_openlatt(A) <=> ! [C] : ( m1_subset_1(C,k9_openlatt(A)) => ! [D] : ( m1_subset_1(D,k9_openlatt(A)) => k4_binop_1(k9_openlatt(A),B,C,D) = k11_openlatt(A,C,D) ) ) ) ) ) )).
fof(d9_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( m1_oppcat_1(C,A,B) <=> ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,D)) = k4_cat_1(B,E) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,k3_graph_1(A,D))) = k4_cat_1(B,k4_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D))) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k4_cat_1(A,k4_graph_1(A,D))) = k4_cat_1(B,k3_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D))) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( k3_graph_1(A,E) = k4_graph_1(A,D) => k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k1_cat_1(A,D,E)) = k1_cat_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,E),k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,D)) ) ) ) ) ) ) ) ) )).
fof(d9_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r3_orders_1(A,B) <=> ( r1_relat_2(A,B) & r8_relat_2(A,B) & r4_relat_2(A,B) & r6_relat_2(A,B) ) ) ) )).
fof(d9_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_orders_2(A,B) = a_2_1_orders_2(A,B) ) ) )).
fof(d9_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ! [B] : ( ( v6_altcat_1(B) & l2_altcat_1(B) ) => ( B = k4_orders_3(A) <=> ( u1_struct_0(B) = A & ! [C] : ( m1_orders_3(C,A) => ! [D] : ( m1_orders_3(D,A) => ( k1_binop_1(u1_altcat_1(B),C,D) = k1_orders_3(C,D) & ! [E] : ( m1_orders_3(E,A) => ! [F] : ( m1_orders_3(F,A) => ! [G] : ( m1_orders_3(G,A) => k1_multop_1(u2_altcat_1(B),E,F,G) = k6_altcat_1(k1_orders_3(E,F),k1_orders_3(F,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_ordinal1,axiom,( ! [A] : ! [B] : ( B = k2_ordinal1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,A) & v3_ordinal1(C) ) ) ) )).
fof(d9_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( ( A = k5_ordinal1 => ( r1_ordinal2(A,B) <=> ? [C] : ( v3_ordinal1(C) & r2_tarski(C,k9_xtuple_0(B)) & ! [D] : ( v3_ordinal1(D) => ( ( r1_ordinal1(C,D) & r2_tarski(D,k9_xtuple_0(B)) ) => k1_funct_1(B,D) = k5_ordinal1 ) ) ) ) ) & ( A != k5_ordinal1 => ( r1_ordinal2(A,B) <=> ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ~ ( r2_tarski(C,A) & r2_tarski(A,D) & ! [E] : ( v3_ordinal1(E) => ~ ( r2_tarski(E,k9_xtuple_0(B)) & ! [F] : ( v3_ordinal1(F) => ( ( r1_ordinal1(E,F) & r2_tarski(F,k9_xtuple_0(B)) ) => ( r2_tarski(C,k1_funct_1(B,F)) & r2_tarski(k1_funct_1(B,F),D) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( v5_ordinal5(A) <=> ? [B] : ( v3_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & r2_tarski(k5_numbers,k5_card_1(C)) & A = k11_ordinal2(C,k12_ordinal2(k4_ordinal1,B)) ) ) ) ) )).
fof(d9_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k5_osafree(A,B)),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k5_osafree(A,B)),C)))) ) => ( D = k6_osafree(A,B,C) <=> ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r1_lang1(k2_osafree(A,B),k3_osafree(A,B,C),k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),E)) => k1_funct_1(D,E) = k8_trees_4(u1_struct_0(k2_osafree(A,B)),k3_osafree(A,B,C),E) ) ) ) ) ) ) ) )).
fof(d9_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r3_osalg_1(A,B,C,D) <=> ( r1_osalg_1(A,B,C) & r2_osalg_1(A,D,k1_msualg_1(A,C)) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( ( r1_osalg_1(A,B,E) & r2_osalg_1(A,D,k1_msualg_1(A,E)) ) => r2_osalg_1(A,k1_msualg_1(A,C),k1_msualg_1(A,E)) ) ) ) ) ) ) ) ) )).
fof(d9_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k2_osalg_4(A)) => ! [E] : ( ( v1_partfun1(E,k4_osalg_4(A,u3_msualg_1(A,B),D)) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_osalg_4(A,u3_msualg_1(A,B),D),k4_osalg_4(A,u3_msualg_1(A,B),D)))) ) => ( E = k5_osalg_4(A,B,C,D) <=> ! [F] : ! [G] : ( r2_hidden(k4_tarski(F,G),E) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & r2_hidden(k4_tarski(F,G),k2_msualg_4(A,B,C,H)) ) ) ) ) ) ) ) ) )).
fof(d9_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( B = k7_parsp_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k6_parsp_1(A)) & ? [D] : ( m1_subset_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & ? [G] : ( m1_subset_1(G,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & C = k1_domain_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k1_domain_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),D,E),k1_domain_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),F,G)) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)),k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G))),k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)),k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)))) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G))),k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)))) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G))),k8_group_1(A,k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)))) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(d9_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k5_pboole(A,B,C) = k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)) ) ) )).
fof(d9_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(B))) => ( r2_pdiff_1(A,B,C,D,E) <=> r1_ndiff_1(k4_real_ns1(1),k4_real_ns1(A),k1_partfun1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(B,C,E),D),k3_funct_2(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(C,B),E)) ) ) ) ) ) ) )).
fof(d9_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r4_pdiff_3(A,B) => ! [C] : ( v1_xreal_0(C) => ( C = k5_pdiff_3(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k10_finseq_1(D,E) & ? [F] : ( m1_rcomp_1(F,E) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(G,1) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B),I),k1_funct_1(k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B),E)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,E)),k1_funct_1(H,k6_xcmplx_0(I,E))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => k6_pdiff_4(A,B,C) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k10_pdiff_1(3,1,A,B),k1_funct_1(k5_pdiff_4(C),1)),k3_xcmplx_0(k10_pdiff_1(3,2,A,B),k1_funct_1(k5_pdiff_4(C),2))),k3_xcmplx_0(k10_pdiff_1(3,3,A,B),k1_funct_1(k5_pdiff_4(C),3))) ) ) ) )).
fof(d9_pdiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r9_pdiff_5(A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,E) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,k1_pdiff_3(3,3,A),B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(3,3,A),B),I),k1_funct_1(k1_pdiff_2(3,3,k1_pdiff_3(3,3,A),B),E)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,E)),k1_funct_1(H,k6_xcmplx_0(I,E))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => k5_pdiff_9(A,B,C,D) = k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),k3_finseq_1(C)) ) ) ) )).
fof(d9_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v8_pencil_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_pre_topc(A)) & r2_tarski(B,C) ) ) ) ) )).
fof(d9_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => k9_polyform(A) = k8_polyform(A,k5_numbers) ) )).
fof(d9_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_vectsp_1(B) & l5_algstr_0(B) ) => k9_polynom1(A,B) = k14_funct_7(k15_pre_poly(A),u1_struct_0(B),k8_polynom1(A,B),k16_pre_poly(A),k5_struct_0(B)) ) )).
fof(d9_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k11_polynom3(A,B,C) <=> ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & k3_finseq_1(F) = k1_nat_1(E,1) & k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E) = k4_rlvect_1(A,F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k6_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k7_nat_d(G,1)),k3_funct_2(k4_ordinal1,u1_struct_0(A),C,k7_nat_d(k1_nat_1(E,1),G))) ) ) ) ) ) ) ) ) ) )).
fof(d9_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ( v2_polynom5(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ~ r1_xxreal_0(k1_algseq_1(A,B),1) => v1_polynom5(B,A) ) ) ) ) )).
fof(d9_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l5_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( E = k5_polynom7(A,B,C,D) <=> ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => k4_polynom1(A,B,E,F) = k6_algstr_0(B,D,k4_polynom1(A,B,C,F)) ) ) ) ) ) ) )).
fof(d9_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r7_polyred(A,B,C,D,E) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & r5_polyred(A,B,C,D,F,E) ) ) ) ) ) ) ) )).
fof(d9_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k7_poset_1(A,B,C,D) = a_4_0_poset_1(A,B,C,D) ) ) ) ) )).
fof(d9_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(G,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(H,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ( H = k9_poset_2(A,B,C,D,E,F,G) <=> ! [I] : ( m1_subset_1(I,u1_struct_0(k4_poset_2(A))) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(J,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ( G = J => k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B)),H,I) = k8_poset_2(A,B,C,D,E,I,k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B)),J,k3_funct_2(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(A)),k6_poset_2(A,A,F),I))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_pralg_2(D,A,B) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ( A != k1_xboole_0 => ( E = k9_pralg_2(A,B,C,D) <=> ! [F] : ~ ( r2_tarski(F,A) & ! [G] : ( l3_msualg_1(G,B) => ~ ( G = k1_funct_1(D,F) & k1_funct_1(E,F) = k1_funct_1(u3_msualg_1(B,G),C) ) ) ) ) ) & ( A = k1_xboole_0 => ( E = k9_pralg_2(A,B,C,D) <=> E = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(d9_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r1_pre_poly(A,B,C) <=> ? [D] : ( v3_ordinal1(D) & ~ r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(B,D)) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => k1_funct_1(B,E) = k1_funct_1(C,E) ) ) ) ) ) ) ) )).
fof(d9_prob_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( C = k9_prob_1(A,B) <=> ( r1_tarski(B,C) & ! [D] : ( ( r1_tarski(B,D) & ~ v1_xboole_0(D) & v1_prob_1(D,A) & v4_prob_1(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => r1_tarski(C,D) ) ) ) ) ) ) )).
fof(d9_prob_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v2_prob_3(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( v3_prob_1(C) & r1_tarski(k2_relset_1(k9_setfam_1(A),C),B) ) => r2_tarski(k1_kurato_0(A,C),B) ) ) ) ) )).
fof(d9_projpl_1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ( B != C => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( D = k2_projpl_1(A,B,C) <=> r2_projpl_1(A,D,B,C) ) ) ) ) ) ) )).
fof(d9_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => k10_prvect_2(A) = g1_rlvect_1(k4_card_3(k4_prvect_2(A)),k8_prvect_2(A),k12_prvect_1(k4_prvect_2(A),k6_prvect_2(A)),k2_prvect_2(k4_prvect_2(A),k1_numbers,k9_prvect_2(A))) ) )).
fof(d9_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k8_pscomp_1(A) = k2_pscomp_1(k1_pre_topc(k15_euclid(2),A),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A)) ) )).
fof(d9_pua2mss1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [C] : ( m1_eqrel_1(C,A) => ( r2_pua2mss1(A,B,C) <=> ( r1_pua2mss1(A,B,C) & ! [D] : ( m2_finseq_1(D,C) => ( ~ r1_xboole_0(k4_card_3(D),k1_relset_1(k3_finseq_2(A),B)) => r1_tarski(k4_card_3(D),k1_relset_1(k3_finseq_2(A),B)) ) ) ) ) ) ) ) )).
fof(d9_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => k8_qc_lang1(A,B) = a_2_0_qc_lang1(A,B) ) ) )).
fof(d9_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => k9_qc_lang2(A,B,C,D,E) = k5_qc_lang2(A,B,k7_qc_lang2(A,C,D,E)) ) ) ) ) ) )).
fof(d9_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k5_qmax_1(A)) => k8_qmax_1(A,B) = k1_domain_1(k2_qmax_1(A),k1_zfmisc_1(k1_numbers),k6_qmax_1(A,B),k3_subset_1(k1_numbers,k7_qmax_1(A,B))) ) ) )).
fof(d9_quantal1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v11_quantal1(A) <=> k3_relat_1(A,A) = A ) ) )).
fof(d9_quatern2,axiom,( ! [A] : ( ( v8_algstr_0(A) & l2_algstr_0(A) ) => ( A = k14_quatern2 <=> ( u1_struct_0(A) = k1_quaterni & u1_algstr_0(A) = k9_quatern2 & k4_struct_0(A) = k1_quatern2 ) ) ) )).
fof(d9_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( C = k9_quaterni(A,B) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & A = k5_quaterni(D,E,F,G) & B = k5_quaterni(H,I,J,K) & C = k5_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(D,H),k3_xcmplx_0(E,I)),k3_xcmplx_0(F,J)),k3_xcmplx_0(G,K)),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D,I),k3_xcmplx_0(E,H)),k3_xcmplx_0(F,K)),k3_xcmplx_0(G,J)),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D,J),k3_xcmplx_0(H,F)),k3_xcmplx_0(I,G)),k3_xcmplx_0(K,E)),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D,K),k3_xcmplx_0(G,H)),k3_xcmplx_0(E,J)),k3_xcmplx_0(F,I))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( B = k12_quofield(A) <=> ! [C] : ( m2_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ( r2_tarski(C,B) <=> k2_domain_1(u1_struct_0(A),u1_struct_0(A),C) = k3_domain_1(u1_struct_0(A),u1_struct_0(A),C) ) ) ) ) ) )).
fof(d9_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k3_radix_1(A)) ) => ( D = k10_radix_1(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(B)) => k4_radix_1(E,A,B,D) = k9_radix_1(E,A,C) ) ) ) ) ) ) ) )).
fof(d9_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,2)) & m2_finseq_1(D,k3_radix_1(B)) ) => ( D = k8_radix_6(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k2_finseq_1(k2_xcmplx_0(A,2))) => k4_radix_1(E,B,k2_xcmplx_0(A,2),D) = k7_radix_6(E,A,B,C) ) ) ) ) ) ) ) )).
fof(d9_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ( v4_ratfunc1(B,A) <=> r2_funct_2(k4_ordinal1,u1_struct_0(A),k4_ratfunc1(A,B),k9_polynom3(A)) ) ) ) )).
fof(d9_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_relat_1(A) <=> ~ r2_tarski(k1_xboole_0,k10_xtuple_0(A)) ) ) )).
fof(d9_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_relat_2(A) <=> r1_relat_2(A,k1_relat_1(A)) ) ) )).
fof(d9_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r7_rewrite1(A,B,C) <=> ? [D] : ( ( r2_hidden(k4_tarski(B,D),A) | B = D ) & ( r2_hidden(k4_tarski(C,D),A) | C = D ) ) ) ) )).
fof(d9_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( r4_rewrite2(A,B,C,D) <=> k8_rewrite2(A,B,D) = k8_rewrite2(A,C,D) ) ) ) ) )).
fof(d9_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,k3_rfunct_3(A,B)) => ! [D] : ( m1_subset_1(D,A) => ( r1_rfunct_3(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => r2_tarski(D,k9_xtuple_0(k1_funct_1(C,E))) ) ) ) ) ) ) ) )).
fof(d9_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => k6_rinfsup2(A) = k1_rinfsup2(k3_rinfsup2(A)) ) )).
fof(d9_ringcat1,axiom,( ! [A] : ( ( v3_ringcat1(A) & l1_ringcat1(A) ) => ! [B] : ( ( v3_ringcat1(B) & l1_ringcat1(B) ) => ( k1_ringcat1(A) = k2_ringcat1(B) => ! [C] : ( ( v2_ringcat1(C) & v3_ringcat1(C) & l1_ringcat1(C) ) => ( C = k6_ringcat1(A,B) <=> ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & l6_algstr_0(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v3_group_1(E) & v4_vectsp_1(E) & v5_vectsp_1(E) & l6_algstr_0(E) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v3_group_1(F) & v4_vectsp_1(F) & v5_vectsp_1(F) & l6_algstr_0(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( ( g1_ringcat1(u1_ringcat1(A),u2_ringcat1(A),u3_ringcat1(A)) = g1_ringcat1(E,F,G) & g1_ringcat1(u1_ringcat1(B),u2_ringcat1(B),u3_ringcat1(B)) = g1_ringcat1(D,E,H) ) => C = g1_ringcat1(D,F,k1_partfun1(u1_struct_0(D),u1_struct_0(E),u1_struct_0(E),u1_struct_0(F),H,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rltopsp1(A) ) => ( v7_rltopsp1(A) <=> ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r2_tarski(k1_rlvect_1(A,C,B),D) & ! [E] : ( ( v2_xxreal_0(E) & v1_xreal_0(E) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(F,A) & r2_tarski(C,F) & ! [G] : ( v1_xreal_0(G) => ( ~ r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(G,B))) => r1_tarski(k1_convex1(A,F,G),D) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ( r1_rlvect_2(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,B,D) = k3_funct_2(u1_struct_0(A),k1_numbers,C,D) ) ) ) ) ) )).
fof(d9_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => ! [D] : ( m1_rmod_4(D,A,B) => ! [E] : ( m1_rmod_4(E,A,B) => ( E = k6_rmod_4(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k3_rlvect_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) ) ) ) ) ) ) ) )).
fof(d9_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & v7_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k7_robbins1(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_robbins1(A,B,C) = B ) ) ) ) )).
fof(d9_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( C = k6_roughs_1(A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k7_xcmplx_0(k4_card_1(k9_subset_1(u1_struct_0(A),B,k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),D))),k4_card_1(k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),D))) ) ) ) ) ) )).
fof(d9_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_roughs_2(A,B) = k3_subset_1(u1_struct_0(A),k4_roughs_1(A,k3_subset_1(u1_struct_0(A),B))) ) ) )).
fof(d9_rsspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlsub_1(B,A) => ( v1_xboole_0(B) | k6_rsspace(A,B) = k2_partfun1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,B)) ) ) ) ) )).
fof(d9_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_rsspace4(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_rsspace4(A,B),k1_numbers))) ) => ( C = k8_rsspace4(A,B) <=> ! [D] : ( r2_hidden(D,k4_rsspace4(A,B)) => k1_funct_1(C,D) = k2_seq_4(k7_rsspace4(A,B,k6_rsspace4(A,B,D))) ) ) ) ) ) )).
fof(d9_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A,B,C) = a_3_1_rusub_4(A,B,C) ) ) ) )).
fof(d9_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k14_rvsum_1(A,B) = k3_funcop_1(k11_binop_2,A,B) ) ) )).
fof(d9_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ! [E] : k7_rvsum_3(A,B,C,D,E) = k1_funct_7(k1_funct_7(A,B,D),C,E) ) ) ) )).
fof(d9_scm_comp,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [C] : ( v1_int_1(C) => ( C = k12_scm_comp(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_dtconstr(k1_scm_comp),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k1_scm_comp),k4_numbers))) & C = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_numbers,D,B) & ! [E] : ( m2_subset_1(E,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_numbers,D,k3_scm_comp(E)) = k1_funct_1(A,E) ) & ! [E] : ( m2_subset_1(E,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [G] : ( m1_dtconstr(G,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_scm_comp)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k1_scm_comp)) => ( ( H = k1_bintree1(u1_struct_0(k1_scm_comp),F) & I = k1_bintree1(u1_struct_0(k1_scm_comp),G) & r1_lang1(k1_scm_comp,E,k4_pre_poly(u1_struct_0(k1_scm_comp),H,I)) ) => ! [J] : ( m1_subset_1(J,k4_numbers) => ! [K] : ( m1_subset_1(K,k4_numbers) => ( ( J = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_numbers,D,F) & K = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_numbers,D,G) ) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_numbers,D,k2_scm_comp(E,F,G)) = k10_scm_comp(E,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( r5_scmfsa9a(A,B,C,D) <=> ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_funct_1(B,C),E) => r5_scmfsa7b(D,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(A,B,D,C),E),k1_funct_4(A,k1_scmfsa8c(C,D))) ) ) ) ) ) ) ) )).
fof(d9_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( C = k7_scmfsa_2(A,B) <=> ? [D] : ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_ami_3)) & ? [E] : ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) & A = D & B = E & C = k3_ami_3(D,E) ) ) ) ) ) ) )).
fof(d9_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k8_scmpds_2(A,B,C) = k3_xtuple_0(5,k1_xboole_0,k11_finseq_1(A,B,C)) ) ) ) )).
fof(d9_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ( v3_scmpds_4(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmpds_2)) => ( ( r2_tarski(B,k9_xtuple_0(A)) & C = k1_funct_1(A,B) ) => ( k5_compos_0(u1_compos_1(k1_scmpds_2),C) != 1 & k5_compos_0(u1_compos_1(k1_scmpds_2),C) != 3 & r1_scmpds_4(C,B) ) ) ) ) ) ) )).
fof(d9_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k7_scmpds_6(A,B,C) = k2_scmpds_4(k8_scmpds_2(A,B,k1_nat_1(k4_card_1(C),1)),C) ) ) ) )).
fof(d9_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ? [B] : ( m1_subset_1(B,k2_scm_inst) & ? [C] : ( m1_subset_1(C,k2_scm_inst) & ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & ? [F] : ( m2_subset_1(F,k4_ordinal1,k5_card_1(15)) & A = k3_xtuple_0(F,k1_xboole_0,k7_finseq_4(B,C,D,E)) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ( B = k10_scmpds_i(A) <=> ? [C] : ( m2_finseq_1(C,k2_xboole_0(k2_scm_inst,k4_numbers)) & C = k2_xtuple_0(A) & B = k7_partfun1(k2_xboole_0(k2_scm_inst,k4_numbers),C,1) ) ) ) ) ) )).
fof(d9_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => k9_scmring2(A,B,C) = k3_xtuple_0(7,k9_finseq_1(B),k12_finseq_1(u1_struct_0(k1_scmring2(A)),C)) ) ) ) )).
fof(d9_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r5_semi_af1(A,B,C) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_semi_af1(A,B,C,D) & ~ ( r1_semi_af1(A,B,E,F) & r2_analoaf(A,C,E,D,F) ) ) ) ) ) ) ) ) ) )).
fof(d9_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( v1_xcmplx_0(B) => k10_seq_4(A,B) = k4_finseqop(k2_numbers,k2_numbers,A,k5_seq_4(B)) ) ) )).
fof(d9_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) => ! [D] : ( r1_seqfunc(A,B,C,D) <=> ( D != k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => r1_tarski(D,k1_relset_1(A,k1_seqfunc(A,B,C,E))) ) ) ) ) )).
fof(d9_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v8_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,B)) ) ) ) )).
fof(d9_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( B != k1_xboole_0 => k8_setfam_1(A,B) = k6_setfam_1(A,B) ) & ( B = k1_xboole_0 => k8_setfam_1(A,B) = A ) ) ) )).
fof(d9_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( D = k9_setlim_2(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(A),D,E) = k5_subset_1(A,C,k8_nat_1(k9_setfam_1(A),B,E)) ) ) ) ) ) )).
fof(d9_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( m1_scmfsa_2(B) => ( B = k8_sf_mastr(A) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k3_scmfsa_2)) & C = k6_sf_mastr(A) & B = k3_scmfsa_m(C) ) ) ) ) )).
fof(d9_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( r3_sgraph1(A,B,C,D,E) <=> ( k1_funct_1(E,1) = C & k1_funct_1(E,k3_finseq_1(E)) = D & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | r2_tarski(k2_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,1))),u1_sgraph1(B)) ) ) ) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | r1_xxreal_0(G,F) | r1_xxreal_0(k3_finseq_1(E),G) | ( k1_funct_1(E,F) != k1_funct_1(E,G) & k2_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,1))) != k2_tarski(k1_funct_1(E,G),k1_funct_1(E,k1_nat_1(G,1))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ( v5_sheffer1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_lattices(A,B,B) = B ) ) ) )).
fof(d9_simplex0,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ( m1_simplex0(B,A) <=> r1_tarski(k2_struct_0(B),A) ) ) )).
fof(d9_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( D = k8_sin_cos(A,B,C) <=> ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,A) => k8_nat_1(k2_numbers,D,E) = k3_xcmplx_0(k3_xcmplx_0(k8_nat_1(k2_numbers,k5_sin_cos(A),E),k2_comseq_3(B,E)),k2_comseq_3(C,k7_nat_d(A,E))) ) & ( ~ r1_xxreal_0(E,A) => k8_nat_1(k2_numbers,D,E) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(d9_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => ( v3_stacks_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( ~ r1_stacks_1(A,B) => B = k7_stacks_1(A,k5_stacks_1(A,B),k6_stacks_1(A,B)) ) ) ) ) )).
fof(d9_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( C = k15_sublemma(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) & E = D & ~ r2_tarski(E,k24_qc_lang1(A,B)) ) ) ) ) ) )).
fof(d9_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k10_substut1(A,B) = a_2_1_substut1(A,B) ) ) )).
fof(d9_supinf_2,axiom,( ! [A] : ( v5_supinf_2(A) <=> ! [B] : ( v1_xxreal_0(B) => ( r2_hidden(B,A) => r1_xxreal_0(k1_supinf_2,B) ) ) ) )).
fof(d9_tdlat_1,axiom,( ! [A] : ( l1_pre_topc(A) => k9_tdlat_1(A) = a_1_2_tdlat_1(A) ) )).
fof(d9_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k6_termord(A,B,C,D) = k7_polynom1(A,C,D,k5_termord(A,B,C,D)) ) ) ) ) )).
fof(d9_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k7_tmap_1(A,B) = k6_partfun1(u1_struct_0(A)) ) ) )).
fof(d9_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v5_topalg_6(B,A) & m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => k2_topalg_6(A,B) = k1_funct_1(B,k2_xxreal_2(k9_xtuple_0(B))) ) ) )).
fof(d9_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_topgen_4(A,B,C) <=> ! [D] : ( m1_connsp_2(D,A,C) => ~ v4_card_3(k9_subset_1(u1_struct_0(A),D,B)) ) ) ) ) ) )).
fof(d9_topreal1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v5_topreal1(A) <=> ? [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v4_topreal1(B) & A = k3_topreal1(2,B) ) ) ) )).
fof(d9_toprealb,axiom,( k10_toprealb = k19_euclid(k4_xcmplx_0(1),k5_numbers) )).
fof(d9_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v3_toprns_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( C = k6_toprns_1(A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(A),k8_nat_1(u1_struct_0(k15_euclid(A)),B,F),C))) ) ) ) ) ) ) ) ) ) )).
fof(d9_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_trees_1(C) ) => ( r2_tarski(B,A) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_trees_1(D) ) => ( D = k5_trees_1(A,B,C) <=> ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( r2_tarski(E,D) <=> ~ ( ~ ( r2_tarski(E,A) & ~ r2_xboole_0(B,E) ) & ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ~ ( r2_tarski(F,C) & E = k8_finseq_1(k4_ordinal1,B,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_trees_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => k4_trees_2(A) = k7_relat_1(A,k3_trees_1(k9_xtuple_0(A))) ) )).
fof(d9_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_trees_3(A) <=> v1_trees_3(k10_xtuple_0(A)) ) ) )).
fof(d9_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : k7_trees_9(A,B) = a_2_0_trees_9(A,B) ) )).
fof(d9_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( C = k1_tsp_2(A,B) <=> v3_borsuk_1(C,A,B) ) ) ) ) )).
fof(d9_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ( v2_turing_1(B,A) => ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ( C = k10_turing_1(A,B) <=> ? [D] : ( v7_ordinal1(D) & C = k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),D) & k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),D)) = u5_turing_1(A) ) ) ) ) ) ) )).
fof(d9_twoscomp,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( A = k10_twoscomp <=> ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ! [D] : ( m1_subset_1(D,k5_margrel1) => k1_funct_1(A,k11_finseq_1(B,C,D)) = k9_margrel1(k9_margrel1(B,C),D) ) ) ) ) ) )).
fof(d9_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m1_unialg_2(C,A) => ( ~ r2_subset_1(u1_struct_0(B),u1_struct_0(C)) => ! [D] : ( ( v1_unialg_1(D) & m1_unialg_2(D,A) ) => ( D = k5_unialg_2(A,B,C) <=> ( u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) & ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( E = u1_struct_0(D) => ( u1_unialg_1(D) = k3_unialg_2(A,E) & v1_unialg_2(E,A) ) ) ) ) ) ) ) ) ) ) )).
fof(d9_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v4_valued_0(C) & v2_pre_poly(C) ) => ( C = k7_uproots(A,B) <=> ( k22_pre_poly(u1_struct_0(A),C) = k7_polynom5(A,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_recdef_1(C,D) = k6_uproots(A,D,B) ) ) ) ) ) ) )).
fof(d9_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k45_valued_1(A,B) = k1_valued_1(A,k30_valued_1(B)) ) ) )).
fof(d9_valued_2,axiom,( ! [A] : ! [B] : ( B = k3_valued_2(A) <=> ! [C] : ( r2_hidden(C,B) <=> ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) ) )).
fof(d9_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v15_algstr_0(B) & l3_algstr_0(B) ) => ( B = k5_vectmetr(A) <=> ( u1_struct_0(B) = k2_vectmetr(k4_vectmetr(A)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_tarski(C,k2_vectmetr(k4_vectmetr(A))) & r2_tarski(D,k2_vectmetr(k4_vectmetr(A))) ) => k1_binop_1(u2_algstr_0(B),C,D) = k3_relat_1(D,C) ) ) ) ) ) ) ) )).
fof(d9_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( l2_struct_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k8_vectsp10(A,B,C) = a_3_1_vectsp10(A,B,C) ) ) ) )).
fof(d9_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ( v33_algstr_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,C,B) != k5_struct_0(A) ) ) ) ) ) )).
fof(d9_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_vectsp_2(C,A,B) ) => ( v5_vectsp_2(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k3_vectsp_1(A,C,D,k4_vectsp_2(B,C,E,F)) = k4_vectsp_2(B,C,E,k3_vectsp_1(A,C,D,F)) ) ) ) ) ) ) ) )).
fof(d9_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_vectsp_6(D,A,B) => ! [E] : ( m1_vectsp_6(E,A,B) => ( E = k6_vectsp_6(A,B,C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k6_algstr_0(A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) ) ) ) ) ) ) ) )).
fof(d9_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( m4_vectsp_8(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_lattices(A,D,E)) = k3_lattices(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(d9_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v8_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_orders_2(B,C,D) => r3_orders_2(A,k2_waybel_0(A,B,C),k2_waybel_0(A,B,D)) ) ) ) ) ) ) )).
fof(d9_waybel18,axiom,( ! [A] : ( ( v1_pre_topc(A) & l1_pre_topc(A) ) => ( A = k9_waybel18 <=> ( u1_struct_0(A) = k2_tarski(k5_numbers,1) & u1_pre_topc(A) = k1_enumset1(k1_xboole_0,k1_tarski(1),k2_tarski(k5_numbers,1)) ) ) ) )).
fof(d9_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_waybel23(B,A) <=> r2_tarski(k4_yellow_0(A),B) ) ) ) )).
fof(d9_waybel34,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_waybel34(C,A,B) <=> ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_pre_topc(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k1_pre_topc(B,k2_relset_1(u1_struct_0(B),C))) & m1_subset_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k1_zfmisc_1(u1_struct_0(k1_pre_topc(B,k2_relset_1(u1_struct_0(B),C))))) ) ) ) ) ) ) )).
fof(d9_waybel35,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel35(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r1_yellow_0(A,C) => k1_yellow_0(A,C) = k1_yellow_0(k5_yellow_0(A,B),C) ) ) ) ) ) )).
fof(d9_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v8_waybel_0(B,A) <=> v5_orders_3(k1_waybel_0(A,B),B,A) ) ) ) )).
fof(d9_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_waybel_1(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & C = k4_tarski(D,E) ) ) ) ) ) )).
fof(d9_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v6_waybel_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,C) & v3_pre_topc(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,k1_tops_1(A,D)) & r1_tarski(D,C) & v2_compts_1(D,A) ) ) ) ) ) ) ) )).
fof(d9_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( B = k4_waybel_4(A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),C,D),B) <=> C = k3_yellow_0(A) ) ) ) ) ) ) )).
fof(d9_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_waybel_9(A,B,C) <=> ! [D] : ( m1_connsp_2(D,A,C) => r2_waybel_0(A,B,D) ) ) ) ) ) )).
fof(d9_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => k9_weierstr(A,B,C) = k3_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k5_weierstr(A,B),C)) ) ) ) )).
fof(d9_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( ( v2_wellord1(A) & r4_wellord1(A,B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_wellord1(A,B) <=> r3_wellord1(A,B,C) ) ) ) ) ) )).
fof(d9_xboole_0,axiom,( ! [A] : ! [B] : ( r3_xboole_0(A,B) <=> ( r1_tarski(A,B) | r1_tarski(B,A) ) ) )).
fof(d9_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k8_xboolean(A,B) = k3_xboolean(k4_xboolean(A,B)) ) ) )).
fof(d9_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( r1_xxreal_0(A,B) => k3_xxreal_0(A,B) = A ) & ( ~ r1_xxreal_0(A,B) => k3_xxreal_0(A,B) = B ) ) ) ) )).
fof(d9_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ( v3_xxreal_2(A) <=> ? [B] : ( v1_xreal_0(B) & m2_xxreal_2(B,A) ) ) ) )).
fof(d9_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_yellow18(A,B) = k9_xtuple_0(k8_altcat_1(A,B)) ) ) )).
fof(d9_yellow21,axiom,( ! [A] : ( v1_relat_1(A) => ( v5_yellow21(A) <=> ? [B] : ! [C] : ( r2_tarski(C,k1_relat_1(A)) => r2_hidden(k4_tarski(C,B),A) ) ) ) )).
fof(d9_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_yellow_0(A,B) => ( C = k1_yellow_0(A,B) <=> ( r2_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_lattice3(A,B,D) => r1_orders_2(A,C,D) ) ) ) ) ) ) ) )).
fof(d9_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( m2_yellow_6(C,A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & r2_funct_2(u1_struct_0(C),u1_struct_0(A),u1_waybel_0(A,C),k1_partfun1(u1_struct_0(C),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),D,u1_waybel_0(A,B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r1_orders_2(C,F,G) => r1_orders_2(B,E,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,G)) ) ) ) ) ) ) ) ) ) )).
fof(d9_zf_lang,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( v1_zf_lang(A) <=> m1_subset_1(A,k8_zf_lang) ) ) )).
fof(d9_zf_model,axiom,( k9_zf_model = k14_zf_lang(k2_zf_lang(k5_numbers),k2_zf_lang(1),k6_zf_lang(k4_zf_lang(k2_zf_lang(1),k2_zf_lang(k5_numbers)),k7_zf_lang(k2_zf_lang(2),k10_zf_lang(k4_zf_lang(k2_zf_lang(2),k2_zf_lang(k5_numbers)),k12_zf_lang(k2_zf_lang(3),k6_zf_lang(k6_zf_lang(k4_zf_lang(k2_zf_lang(3),k2_zf_lang(k5_numbers)),k5_zf_lang(k3_zf_lang(k2_zf_lang(3),k2_zf_lang(2)))),k7_zf_lang(k2_zf_lang(4),k10_zf_lang(k4_zf_lang(k2_zf_lang(4),k2_zf_lang(2)),k4_zf_lang(k2_zf_lang(4),k2_zf_lang(3)))))))))) )).
fof(d9_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( r5_zfmisc_1(A,B,C,D,E,F,G) <=> ( A != B & A != C & A != D & A != E & A != F & A != G & B != C & B != D & B != E & B != F & B != G & C != D & C != E & C != F & C != G & D != E & D != F & D != G & E != F & E != G & F != G ) ) )).
fof(d9_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ( m1_zmodul01(B,A) <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & k4_struct_0(B) = k4_struct_0(A) & u1_algstr_0(B) = k1_realset1(u1_algstr_0(A),u1_struct_0(B)) & u1_zmodul01(B) = k2_partfun1(k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A),u1_zmodul01(A),k2_zfmisc_1(k4_numbers,u1_struct_0(B))) ) ) ) ) )).
fof(d9_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_numbers,k6_zmodul02(A,B)),k6_zmodul02(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k6_zmodul02(A,B)),k6_zmodul02(A,B)))) ) => ( C = k9_zmodul02(A,B) <=> ! [D] : ( v1_int_1(D) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k6_zmodul02(A,B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( E = k5_zmodul01(A,F,B) => k1_binop_1(C,D,E) = k5_zmodul01(A,k1_zmodul01(A,F,D),B) ) ) ) ) ) ) ) ) )).
fof(d9_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_zmodul05(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( m2_zmodul02(E,B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) => ( v2_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C)) => k8_zmodul05(A,B,C,D,E) = k1_funct_4(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),k4_numbers,D,E),k8_funcop_1(k4_ordinal1,k3_subset_1(u1_struct_0(A),C),k5_numbers)) ) ) ) ) ) ) )).
fof(dt_g1_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_abcmiz_0(g1_abcmiz_0(A,B)) & l1_abcmiz_0(g1_abcmiz_0(A,B)) ) ) )).
fof(dt_g1_absred_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v1_absred_0(g1_absred_0(A,B)) & l1_absred_0(g1_absred_0(A,B)) ) ) )).
fof(dt_g1_algstr_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k3_zfmisc_1(A,A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,A,A),A))) ) => ( v1_algstr_3(g1_algstr_3(A,B,C,D)) & l1_algstr_3(g1_algstr_3(A,B,C,D)) ) ) )).
fof(dt_g1_analmetr,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( v1_analmetr(g1_analmetr(A,B)) & l1_analmetr(g1_analmetr(A,B)) ) ) )).
fof(dt_g1_analoaf,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( v1_analoaf(g1_analoaf(A,B)) & l1_analoaf(g1_analoaf(A,B)) ) ) )).
fof(dt_g1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u4_struct_0(A),k3_msafree4(k3_finseq_2(u1_struct_0(A)),u4_struct_0(A),u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),B)),k3_msafree4(u1_struct_0(A),u4_struct_0(A),u2_msualg_1(A),B)) & m2_aofa_a00(D,u1_struct_0(A),u1_struct_0(A),B,B) ) => ( v1_aofa_a00(g1_aofa_a00(A,B,C,D),A) & l1_aofa_a00(g1_aofa_a00(A,B,C,D),A) ) ) )).
fof(dt_g1_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k4_card_3(B))) ) => ( v2_armstrng(g1_armstrng(A,B,C)) & l1_armstrng(g1_armstrng(A,B,C)) ) ) )).
fof(dt_g1_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) ) => ( v1_bcialg_4(g1_bcialg_4(A,B,C,D)) & l1_bcialg_4(g1_bcialg_4(A,B,C,D)) ) ) )).
fof(dt_g1_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v1_bhsp_1(g1_bhsp_1(A,B,C,D,E)) & l1_bhsp_1(g1_bhsp_1(A,B,C,D,E)) ) ) )).
fof(dt_g1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v1_cat_1(g1_cat_1(A,B,C,D,E)) & l1_cat_1(g1_cat_1(A,B,C,D,E)) ) ) )).
fof(dt_g1_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,A),B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) & v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(A,A),B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) ) => ( v2_cat_4(g1_cat_4(A,B,C,D,E,F,G,H,I)) & l1_cat_4(g1_cat_4(A,B,C,D,E,F,G,H,I)) ) ) )).
fof(dt_g1_cat_6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_cat_6(g1_cat_6(A,B)) & l1_cat_6(g1_cat_6(A,B)) ) ) )).
fof(dt_g1_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_cayldick(g1_cayldick(A,B,C,D,E,F,G,H)) & l1_cayldick(g1_cayldick(A,B,C,D,E,F,G,H)) ) ) )).
fof(dt_g1_cfuncdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ( v1_cfuncdom(g1_cfuncdom(A,B,C,D,E,F)) & l1_cfuncdom(g1_cfuncdom(A,B,C,D,E,F)) ) ) )).
fof(dt_g1_cgames_1,axiom,( ! [A] : ! [B] : ( v1_cgames_1(g1_cgames_1(A,B)) & l1_cgames_1(g1_cgames_1(A,B)) ) )).
fof(dt_g1_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_clopban2(g1_clopban2(A,B,C,D,E,F,G)) & l1_clopban2(g1_clopban2(A,B,C,D,E,F,G)) ) ) )).
fof(dt_g1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),B)) ) => ( v5_closure1(g1_closure1(A,B,C),A) & l1_closure1(g1_closure1(A,B,C),A) ) ) )).
fof(dt_g1_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),B))) ) => ( v11_closure2(g1_closure2(A,B,C),A) & l1_closure2(g1_closure2(A,B,C),A) ) ) )).
fof(dt_g1_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) ) => ( v1_clvect_1(g1_clvect_1(A,B,C,D)) & l1_clvect_1(g1_clvect_1(A,B,C,D)) ) ) )).
fof(dt_g1_collsp,axiom,( ! [A] : ! [B] : ( m1_collsp(B,A) => ( v1_collsp(g1_collsp(A,B)) & l1_collsp(g1_collsp(A,B)) ) ) )).
fof(dt_g1_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_incsp_1(A),u1_incsp_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u1_incsp_1(B)))) & v1_funct_1(D) & v1_funct_2(D,u2_incsp_1(A),u2_incsp_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A),u2_incsp_1(B)))) ) => ( v5_combgras(g1_combgras(A,B,C,D),A,B) & l1_combgras(g1_combgras(A,B,C,D),A,B) ) ) )).
fof(dt_g1_compos_1,axiom,( ! [A] : ( ( v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) & v5_compos_0(A) ) => ( v1_compos_1(g1_compos_1(A)) & l1_compos_1(g1_compos_1(A)) ) ) )).
fof(dt_g1_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_conlat_1(g1_conlat_1(A,B,C)) & l1_conlat_1(g1_conlat_1(A,B,C)) ) ) )).
fof(dt_g1_csspace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_numbers))) ) => ( v1_csspace(g1_csspace(A,B,C,D,E)) & l1_csspace(g1_csspace(A,B,C,D,E)) ) ) )).
fof(dt_g1_e_siec,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_relat_1(C) ) => ( v1_e_siec(g1_e_siec(A,B,C)) & l1_e_siec(g1_e_siec(A,B,C)) ) ) )).
fof(dt_g1_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(C,B) & v1_compos_0(D) & v2_compos_0(D) & v3_compos_0(D) & v5_compos_0(D) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v1_funct_1(G) & v1_funct_2(G,D,k1_funct_2(k4_card_3(k3_relat_1(E,F)),k4_card_3(k3_relat_1(E,F)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(D,k1_funct_2(k4_card_3(k3_relat_1(E,F)),k4_card_3(k3_relat_1(E,F)))))) ) => ( v1_extpro_1(g1_extpro_1(A,B,C,D,E,F,G),A) & l1_extpro_1(g1_extpro_1(A,B,C,D,E,F,G),A) ) ) )).
fof(dt_g1_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k6_subset_1(A,k1_tarski(C)),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(A,k1_tarski(C)),k4_numbers))) ) => ( v1_fomodel1(g1_fomodel1(A,B,C,D)) & l1_fomodel1(g1_fomodel1(A,B,C,D)) ) ) )).
fof(dt_g1_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,B),C))) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( v1_fsm_3(g1_fsm_3(A,B,C,D,E),A,B) & l1_fsm_3(g1_fsm_3(A,B,C,D,E),A,B) ) ) )).
fof(dt_g1_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ( v1_funcsdom(g1_funcsdom(A,B,C,D,E,F)) & l1_funcsdom(g1_funcsdom(A,B,C,D,E,F)) ) ) )).
fof(dt_g1_gaussint,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k4_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ( v2_gaussint(g1_gaussint(A,B,C,D,E,F)) & l1_gaussint(g1_gaussint(A,B,C,D,E,F)) ) ) )).
fof(dt_g1_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) ) => ( v1_geomtrap(g1_geomtrap(A,B,C)) & l1_geomtrap(g1_geomtrap(A,B,C)) ) ) )).
fof(dt_g1_graph_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_graph_1(g1_graph_1(A,B,C,D)) & l1_graph_1(g1_graph_1(A,B,C,D)) ) ) )).
fof(dt_g1_grcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_grcat_1(g1_grcat_1(A,B,C)) & l1_grcat_1(g1_grcat_1(A,B,C)) ) ) )).
fof(dt_g1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ( v2_group_9(g1_group_9(A,B,C,D),A) & l1_group_9(g1_group_9(A,B,C,D),A) ) ) )).
fof(dt_g1_incsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_incsp_1(g1_incsp_1(A,B,C)) & l1_incsp_1(g1_incsp_1(A,B,C)) ) ) )).
fof(dt_g1_lang1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k3_finseq_2(A)))) => ( v1_lang1(g1_lang1(A,B)) & l1_lang1(g1_lang1(A,B)) ) ) )).
fof(dt_g1_lattices,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_lattices(g1_lattices(A,B)) & l1_lattices(g1_lattices(A,B)) ) ) )).
fof(dt_g1_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_lopban_2(g1_lopban_2(A,B,C,D,E,F,G)) & l1_lopban_2(g1_lopban_2(A,B,C,D,E,F,G)) ) ) )).
fof(dt_g1_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( v1_memstr_0(g1_memstr_0(A,B,C,D,E),A) & l1_memstr_0(g1_memstr_0(A,B,C,D,E),A) ) ) )).
fof(dt_g1_metric_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v1_metric_1(g1_metric_1(A,B)) & l1_metric_1(g1_metric_1(A,B)) ) ) )).
fof(dt_g1_midsp_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_midsp_1(g1_midsp_1(A,B)) & l1_midsp_1(g1_midsp_1(A,B)) ) ) )).
fof(dt_g1_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) ) => ( v1_midsp_3(g1_midsp_3(A,B,C,D),A) & l1_midsp_3(g1_midsp_3(A,B,C,D),A) ) ) )).
fof(dt_g1_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v2_mod_2(g1_mod_2(A,B,C,D),A) & l1_mod_2(g1_mod_2(A,B,C,D),A) ) ) )).
fof(dt_g1_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,A),A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v9_modelc_2(g1_modelc_2(A,B,C,D,E,F,G,H)) & l1_modelc_2(g1_modelc_2(A,B,C,D,E,F,G,H)) ) ) )).
fof(dt_g1_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k1_modelc_3(A))) & m1_subset_1(C,k1_zfmisc_1(k1_modelc_3(A))) & m1_subset_1(D,k1_zfmisc_1(k1_modelc_3(A))) ) => ( v1_modelc_3(g1_modelc_3(A,B,C,D),A) & l1_modelc_3(g1_modelc_3(A,B,C,D),A) ) ) )).
fof(dt_g1_msualg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k3_finseq_2(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k3_finseq_2(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_msualg_1(g1_msualg_1(A,B,C,D)) & l1_msualg_1(g1_msualg_1(A,B,C,D)) ) ) )).
fof(dt_g1_normsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_normsp_1(g1_normsp_1(A,B,C,D,E)) & l1_normsp_1(g1_normsp_1(A,B,C,D,E)) ) ) )).
fof(dt_g1_orders_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v1_orders_2(g1_orders_2(A,B)) & l1_orders_2(g1_orders_2(A,B)) ) ) )).
fof(dt_g1_parsp_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( v1_parsp_1(g1_parsp_1(A,B)) & l1_parsp_1(g1_parsp_1(A,B)) ) ) )).
fof(dt_g1_pcs_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v2_pcs_0(g1_pcs_0(A,B)) & l1_pcs_0(g1_pcs_0(A,B)) ) ) )).
fof(dt_g1_petri,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_petri(g1_petri(A,B,C,D)) & l1_petri(g1_petri(A,B,C,D)) ) ) )).
fof(dt_g1_polyalg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(E,B) & m1_subset_1(F,B) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) ) => ( v1_polyalg1(g1_polyalg1(A,B,C,D,E,F,G),A) & l1_polyalg1(g1_polyalg1(A,B,C,D,E,F,G),A) ) ) )).
fof(dt_g1_pre_topc,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_pre_topc(g1_pre_topc(A,B)) & l1_pre_topc(g1_pre_topc(A,B)) ) ) )).
fof(dt_g1_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_qmax_1(k1_numbers,k12_prob_1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_qmax_1(k1_numbers,k12_prob_1)))) ) => ( v1_qmax_1(g1_qmax_1(A,B,C)) & l1_qmax_1(g1_qmax_1(A,B,C)) ) ) )).
fof(dt_g1_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),B))) => ( v1_rewrite3(g1_rewrite3(A,B,C),A) & l1_rewrite3(g1_rewrite3(A,B,C),A) ) ) )).
fof(dt_g1_ringcat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_ringcat1(g1_ringcat1(A,B,C)) & l1_ringcat1(g1_ringcat1(A,B,C)) ) ) )).
fof(dt_g1_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v5_rltopsp1(g1_rltopsp1(A,B,C,D,E)) & l1_rltopsp1(g1_rltopsp1(A,B,C,D,E)) ) ) )).
fof(dt_g1_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) ) => ( v1_rlvect_1(g1_rlvect_1(A,B,C,D)) & l1_rlvect_1(g1_rlvect_1(A,B,C,D)) ) ) )).
fof(dt_g1_sgraph1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_sgraph1(A))) => ( v1_sgraph1(g1_sgraph1(A,B)) & l1_sgraph1(g1_sgraph1(A,B)) ) ) )).
fof(dt_g1_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & v1_funct_1(E) & v1_funct_2(E,B,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_stacks_1(g1_stacks_1(A,B,C,D,E,F)) & l1_stacks_1(g1_stacks_1(A,B,C,D,E,F)) ) ) )).
fof(dt_g1_symsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_symsp_1(g1_symsp_1(A,B,C,D,E,F),A) & l1_symsp_1(g1_symsp_1(A,B,C,D,E,F),A) ) ) )).
fof(dt_g1_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,A),k3_zfmisc_1(B,A,k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),k3_zfmisc_1(B,A,k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) & m1_subset_1(D,B) & m1_subset_1(E,B) ) => ( v1_turing_1(g1_turing_1(A,B,C,D,E)) & l1_turing_1(g1_turing_1(A,B,C,D,E)) ) ) )).
fof(dt_g1_unialg_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) => ( v1_unialg_1(g1_unialg_1(A,B)) & l1_unialg_1(g1_unialg_1(A,B)) ) ) )).
fof(dt_g1_vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) ) => ( v4_vectmetr(g1_vectmetr(A,B,C,D,E)) & l1_vectmetr(g1_vectmetr(A,B,C,D,E)) ) ) )).
fof(dt_g1_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) ) => ( v7_vectsp_1(g1_vectsp_1(A,B,C,D,E),A) & l1_vectsp_1(g1_vectsp_1(A,B,C,D,E),A) ) ) )).
fof(dt_g1_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ( v2_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) & l1_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) ) ) )).
fof(dt_g1_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( v6_waybel_0(g1_waybel_0(A,B,C,D),A) & l1_waybel_0(g1_waybel_0(A,B,C,D),A) ) ) )).
fof(dt_g1_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v1_waybel_9(g1_waybel_9(A,B,C)) & l1_waybel_9(g1_waybel_9(A,B,C)) ) ) )).
fof(dt_g1_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k4_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,A),A))) ) => ( v1_zmodul01(g1_zmodul01(A,B,C,D)) & l1_zmodul01(g1_zmodul01(A,B,C,D)) ) ) )).
fof(dt_g2_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(E) & v1_funct_2(E,A,k5_finsub_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => ( v7_abcmiz_0(g2_abcmiz_0(A,B,C,D,E)) & l2_abcmiz_0(g2_abcmiz_0(A,B,C,D,E)) ) ) )).
fof(dt_g2_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( v8_algstr_0(g2_algstr_0(A,B,C)) & l2_algstr_0(g2_algstr_0(A,B,C)) ) ) )).
fof(dt_g2_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) ) => ( v6_altcat_1(g2_altcat_1(A,B,C)) & l2_altcat_1(g2_altcat_1(A,B,C)) ) ) )).
fof(dt_g2_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) ) => ( v2_analmetr(g2_analmetr(A,B,C)) & l2_analmetr(g2_analmetr(A,B,C)) ) ) )).
fof(dt_g2_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k3_finseq_2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k3_finseq_2(B)))) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & m1_subset_1(F,B) & m1_finseq_1(G,C) & v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(H,A),C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H,A),C))) ) => ( v4_aofa_l00(g2_aofa_l00(A,B,C,D,E,F,G,H,I),A) & l2_aofa_l00(g2_aofa_l00(A,B,C,D,E,F,G,H,I),A) ) ) )).
fof(dt_g2_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( v2_bcialg_1(g2_bcialg_1(A,B,C)) & l2_bcialg_1(g2_bcialg_1(A,B,C)) ) ) )).
fof(dt_g2_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,A),B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) & v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(A,A),B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) ) => ( v5_cat_4(g2_cat_4(A,B,C,D,E,F,G,H,I)) & l2_cat_4(g2_cat_4(A,B,C,D,E,F,G,H,I)) ) ) )).
fof(dt_g2_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v7_clvect_1(g2_clvect_1(A,B,C,D,E)) & l2_clvect_1(g2_clvect_1(A,B,C,D,E)) ) ) )).
fof(dt_g2_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l5_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) ) => ( v3_conlat_1(g2_conlat_1(A,B,C),A) & l2_conlat_1(g2_conlat_1(A,B,C),A) ) ) )).
fof(dt_g2_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),B))) & m1_subset_1(F,C) ) => ( v2_fsm_1(g2_fsm_1(A,B,C,D,E,F),A,B) & l2_fsm_1(g2_fsm_1(A,B,C,D,E,F),A,B) ) ) )).
fof(dt_g2_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & m1_subset_1(F,C) & m1_subset_1(G,k1_zfmisc_1(C)) ) => ( v6_fsm_2(g2_fsm_2(A,B,C,D,E,F,G),A,B) & l2_fsm_2(g2_fsm_2(A,B,C,D,E,F,G),A,B) ) ) )).
fof(dt_g2_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,B),C))) & m1_subset_1(E,k1_zfmisc_1(C)) & m1_subset_1(F,k1_zfmisc_1(C)) ) => ( v3_fsm_3(g2_fsm_3(A,B,C,D,E,F),A,B) & l2_fsm_3(g2_fsm_3(A,B,C,D,E,F),A,B) ) ) )).
fof(dt_g2_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_altcat_1(A) & l1_altcat_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))))) & m1_functor0(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),C,u1_altcat_1(A),u1_altcat_1(B)) ) => ( v9_functor0(g2_functor0(A,B,C,D),A,B) & l2_functor0(g2_functor0(A,B,C,D),A,B) ) ) )).
fof(dt_g2_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_finseq_2(A)))) ) => ( v2_lang1(g2_lang1(A,B,C)) & l2_lang1(g2_lang1(A,B,C)) ) ) )).
fof(dt_g2_lattices,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_lattices(g2_lattices(A,B)) & l2_lattices(g2_lattices(A,B)) ) ) )).
fof(dt_g2_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(E) & v1_funct_2(E,A,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v9_modelc_1(g2_modelc_1(A,B,C,D,E,F,G)) & l2_modelc_1(g2_modelc_1(A,B,C,D,E,F,G)) ) ) )).
fof(dt_g2_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),B))) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( v7_modelc_3(g2_modelc_3(A,B,C,D,E),A) & l2_modelc_3(g2_modelc_3(A,B,C,D,E),A) ) ) )).
fof(dt_g2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v12_pcs_0(g2_pcs_0(A,B,C)) & l2_pcs_0(g2_pcs_0(A,B,C)) ) ) )).
fof(dt_g2_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_qmax_1(g2_qmax_1(A,B,C)) & l2_qmax_1(g2_qmax_1(A,B,C)) ) ) )).
fof(dt_g2_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v2_robbins1(g2_robbins1(A,B,C)) & l2_robbins1(g2_robbins1(A,B,C)) ) ) )).
fof(dt_g2_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) & m1_subset_1(E,C) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),C),C))) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(B)),C))) ) => ( v3_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) & l2_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) ) ) )).
fof(dt_g3_algstr_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v15_algstr_0(g3_algstr_0(A,B)) & l3_algstr_0(g3_algstr_0(A,B)) ) ) )).
fof(dt_g3_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & m1_subset_1(F,C) ) => ( v3_fsm_1(g3_fsm_1(A,B,C,D,E,F),A,B) & l3_fsm_1(g3_fsm_1(A,B,C,D,E,F),A,B) ) ) )).
fof(dt_g3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)) ) ) )).
fof(dt_g3_msualg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),B)),k3_relat_1(u2_msualg_1(A),B)) ) => ( v3_msualg_1(g3_msualg_1(A,B,C),A) & l3_msualg_1(g3_msualg_1(A,B,C),A) ) ) )).
fof(dt_g3_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,C))) & v1_funct_1(E) & v1_funct_2(E,C,k3_finseq_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k3_finseq_2(A)))) & v1_funct_1(F) & v1_funct_2(F,C,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( v3_osalg_1(g3_osalg_1(A,B,C,D,E,F)) & l3_osalg_1(g3_osalg_1(A,B,C,D,E,F)) ) ) )).
fof(dt_g3_prefer_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_prefer_1(g3_prefer_1(A,B,C,D)) & l3_prefer_1(g3_prefer_1(A,B,C,D)) ) ) )).
fof(dt_g3_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v6_robbins3(g3_robbins3(A,B,C,D)) & l3_robbins3(g3_robbins3(A,B,C,D)) ) ) )).
fof(dt_g4_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( v22_algstr_0(g4_algstr_0(A,B,C)) & l4_algstr_0(g4_algstr_0(A,B,C)) ) ) )).
fof(dt_g4_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v4_robbins1(g4_robbins1(A,B,C,D)) & l4_robbins1(g4_robbins1(A,B,C,D)) ) ) )).
fof(dt_g5_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ( v29_algstr_0(g5_algstr_0(A,B,C,D)) & l5_algstr_0(g5_algstr_0(A,B,C,D)) ) ) )).
fof(dt_g5_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k13_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k13_finseq_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_finseq_1(E,B) ) => ( v12_aofa_a00(g5_aofa_a00(A,B,C,D,E)) & l5_aofa_a00(g5_aofa_a00(A,B,C,D,E)) ) ) )).
fof(dt_g6_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( v36_algstr_0(g6_algstr_0(A,B,C,D,E)) & l6_algstr_0(g6_algstr_0(A,B,C,D,E)) ) ) )).
fof(dt_g6_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k13_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k13_finseq_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_subset_1(E,A) & m1_finseq_1(F,B) ) => ( v15_aofa_a00(g6_aofa_a00(A,B,C,D,E,F)) & l6_aofa_a00(g6_aofa_a00(A,B,C,D,E,F)) ) ) )).
fof(dt_k10_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) & m1_subset_1(B,u1_abcmiz_0(A)) ) => m1_subset_1(k10_abcmiz_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k10_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => m2_finseq_1(k10_afinsq_1(A,B),A) ) )).
fof(dt_k10_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ~ v1_xboole_0(k10_afproj(A)) ) )).
fof(dt_k10_algstr_4,axiom,( ! [A] : ( v1_funct_1(k10_algstr_4(A)) & v1_funct_2(k10_algstr_4(A),k4_ordinal1,k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1)))) & m1_subset_1(k10_algstr_4(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1)))))) ) )).
fof(dt_k10_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_ami_2(k10_ami_3(A)) & m1_subset_1(k10_ami_3(A),u1_struct_0(k1_ami_3)) ) ) )).
fof(dt_k10_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m1_subset_1(k10_aofa_000(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k10_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l1_aofa_a00(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),C)) ) => m3_pboole(k10_aofa_a00(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(dt_k10_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) & v1_int_1(E) ) => m1_subset_1(k10_aofa_a01(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,C),D)) ) )).
fof(dt_k10_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( v1_funct_1(k10_aofa_i00(A,B,C)) & v1_funct_2(k10_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k10_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k10_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( v1_funct_1(k10_aofa_l00(A,B,C,D,E)) & v1_funct_2(k10_aofa_l00(A,B,C,D,E),A,C) & m1_subset_1(k10_aofa_l00(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,C))) ) ) )).
fof(dt_k10_armstrng,axiom,( ! [A] : ! [B] : m1_subset_1(k10_armstrng(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) )).
fof(dt_k10_arytm_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_arytm_3) & m1_subset_1(B,k5_arytm_3) ) => m1_subset_1(k10_arytm_3(A,B),k5_arytm_3) ) )).
fof(dt_k10_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => m1_funct_2(k10_asympt_0(A,B),k4_ordinal1,k1_numbers) ) )).
fof(dt_k10_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m4_bcialg_2(D,A,C) & m1_subset_1(E,k6_bcialg_6(A,B,C,D)) & m1_subset_1(F,k6_bcialg_6(A,B,C,D)) ) => m2_subset_1(k10_bcialg_6(A,B,C,D,E,F),u1_struct_0(A),k6_bcialg_6(A,B,C,D)) ) )).
fof(dt_k10_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => m1_subset_1(k10_bilinear(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k10_binarith,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( v3_card_1(k10_binarith(A,B),1) & m2_finseq_1(k10_binarith(A,B),A) ) ) )).
fof(dt_k10_binop_2,axiom,( v1_funct_1(k10_binop_2) & v1_funct_2(k10_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(k10_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) )).
fof(dt_k10_borsuk_1,axiom,( ! [A] : ( l1_struct_0(A) => m1_eqrel_1(k10_borsuk_1(A),u1_struct_0(A)) ) )).
fof(dt_k10_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ( v1_funct_1(k10_borsuk_7(A,B,C)) & v1_funct_2(k10_borsuk_7(A,B,C),u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,B,C))) & m1_subset_1(k10_borsuk_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,B,C))))) ) ) )).
fof(dt_k10_bspace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k10_bspace(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k10_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k10_bvfunc_1(A,B,C)) & v1_funct_2(k10_bvfunc_1(A,B,C),A,k5_margrel1) & m1_subset_1(k10_bvfunc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k10_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k10_c0sp1(A)) & v1_funct_2(k10_c0sp1(A),k6_c0sp1(A),k1_numbers) & m1_subset_1(k10_c0sp1(A),k1_zfmisc_1(k2_zfmisc_1(k6_c0sp1(A),k1_numbers))) ) ) )).
fof(dt_k10_card_3,axiom,( ! [A] : ( v4_funct_1(A) => ( v1_relat_1(k10_card_3(A)) & v1_funct_1(k10_card_3(A)) ) ) )).
fof(dt_k10_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => m2_cat_1(k10_cat_1(A),A,A) ) )).
fof(dt_k10_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m1_subset_1(E,u1_struct_0(A)) ) => m2_cat_1(k10_cat_2(A,B,C,D,E),B,C) ) )).
fof(dt_k10_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k10_cat_3(A,B,C),A,B,C) ) )).
fof(dt_k10_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k10_cat_4(A,B),A,k2_cat_4(A,k1_cat_4(A),B),B) ) )).
fof(dt_k10_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k10_cat_5(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k10_cat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v10_cat_6(A) & l1_cat_6(A) & v10_cat_6(B) & l1_cat_6(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_cat_6(A)) ) => m1_subset_1(k10_cat_6(A,B,C,D),k1_cat_6(B)) ) )).
fof(dt_k10_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k10_cat_7(A,B,C,D,E)) & v1_funct_2(k10_cat_7(A,B,C,D,E),u1_struct_0(k8_cat_7(A,B,C,D,E)),u1_struct_0(C)) & m1_subset_1(k10_cat_7(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_7(A,B,C,D,E)),u1_struct_0(C)))) ) ) )).
fof(dt_k10_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => m1_subset_1(k10_catalg_1(A,B,C,D),u4_struct_0(k3_catalg_1(A))) ) )).
fof(dt_k10_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(k4_chain_1(A,B,k1_nat_1(C,1)))) ) => m1_subset_1(k10_chain_1(A,B,C,D),k1_zfmisc_1(k4_chain_1(A,B,C))) ) )).
fof(dt_k10_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & m1_subset_1(C,u1_struct_0(k9_clopban1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k10_clopban1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k10_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k6_closure2(u1_struct_0(A),B),k6_closure2(u1_struct_0(A),B)) & v7_closure2(C,u1_struct_0(A),B) & v8_closure2(C,u1_struct_0(A),B) & v9_closure2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A),B),k6_closure2(u1_struct_0(A),B)))) ) => ( v11_closure2(k10_closure2(A,B,C),A) & l1_closure2(k10_closure2(A,B,C),A) ) ) )).
fof(dt_k10_coh_sp,axiom,( ! [A] : ( v1_funct_1(k10_coh_sp(A)) & v1_funct_2(k10_coh_sp(A),k5_coh_sp(A),k3_coh_sp(A)) & m1_subset_1(k10_coh_sp(A),k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A),k3_coh_sp(A)))) ) )).
fof(dt_k10_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( v1_relat_1(k10_compos_1(A,B)) & v4_relat_1(k10_compos_1(A,B),k4_ordinal1) & v5_relat_1(k10_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k10_compos_1(A,B)) & v1_finset_1(k10_compos_1(A,B)) ) ) )).
fof(dt_k10_comput_1,axiom,( m1_subset_1(k10_comput_1,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) )).
fof(dt_k10_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k10_comseq_3(A)) & v1_funct_2(k10_comseq_3(A),k4_ordinal1,k2_numbers) & m1_subset_1(k10_comseq_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k10_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k10_conlat_1(A)) & v1_funct_2(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) & m1_subset_1(k10_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)))) ) ) )).
fof(dt_k10_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k10_cqc_lang(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k10_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k1_qc_lang1(A)) & m1_subset_1(D,k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) ) => m2_subset_1(k10_cqc_sim1(A,B,C,D),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k10_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xcmplx_0(k10_csspace(A,B,C)) ) )).
fof(dt_k10_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k10_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k10_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k5_margrel1)) & v7_ordinal1(C) ) => m1_subset_1(k10_descip_1(A,B,C),k5_margrel1) ) )).
fof(dt_k10_dickson,axiom,( m1_subset_1(k10_dickson,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) )).
fof(dt_k10_diff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => v1_xreal_0(k10_diff_1(A,B,C,D)) ) )).
fof(dt_k10_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => m2_subset_1(k10_dist_1(A),k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) )).
fof(dt_k10_dist_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) & m4_dist_2(C,A,B) ) => v1_xreal_0(k10_dist_2(A,B,C)) ) )).
fof(dt_k10_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => m1_subset_1(k10_domain_1(A,B,C,D,E,F),k1_zfmisc_1(A)) ) )).
fof(dt_k10_dualsp01,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k10_dualsp01(A,B)) & v1_funct_2(k10_dualsp01(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k10_dualsp01(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k10_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k10_e_siec(A)) ) )).
fof(dt_k10_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k10_ens_1(A)) & m1_subset_1(k10_ens_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)))) ) ) )).
fof(dt_k10_eqrel_1,axiom,( ! [A] : m1_eqrel_1(k10_eqrel_1(A),A) )).
fof(dt_k10_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => m2_finseq_2(k10_euclid(A,B),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k10_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) & m1_subset_1(E,u1_struct_0(k15_euclid(A))) ) => v1_xreal_0(k10_euclid_3(A,B,C,D,E)) ) )).
fof(dt_k10_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( v3_msualg_1(k10_facirc_1(A,B,C,D),k8_facirc_1(A,B,C,D)) & v4_msafree2(k10_facirc_1(A,B,C,D),k8_facirc_1(A,B,C,D)) & v4_circcomb(k10_facirc_1(A,B,C,D),k8_facirc_1(A,B,C,D)) & v6_circcomb(k10_facirc_1(A,B,C,D),k8_facirc_1(A,B,C,D)) & l3_msualg_1(k10_facirc_1(A,B,C,D),k8_facirc_1(A,B,C,D)) ) ) )).
fof(dt_k10_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k10_ff_siec(A)) ) )).
fof(dt_k10_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_relat_2(k10_filter_0(A,B)) & v8_relat_2(k10_filter_0(A,B)) & v1_partfun1(k10_filter_0(A,B),u1_struct_0(A)) & m1_subset_1(k10_filter_0(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k10_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_nat_lat(k10_filter_2(A,B),A) ) )).
fof(dt_k10_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k10_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k10_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(C) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k10_finance1(A,B,C,D,E,F)) & v1_funct_2(k10_finance1(A,B,C,D,E,F),k4_ordinal1,k1_numbers) & m1_subset_1(k10_finance1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k10_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => m2_finseq_1(k10_finseq_4(A,B,C,D,E,F),A) ) )).
fof(dt_k10_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k10_fintopo2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k10_fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k10_fintopo3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k10_fomodel0,axiom,( ! [A] : ! [B] : ( v1_funct_1(k10_fomodel0(A,B)) & v1_funct_2(k10_fomodel0(A,B),B,k5_margrel1) & m1_subset_1(k10_fomodel0(A,B),k1_zfmisc_1(k2_zfmisc_1(B,k5_margrel1))) ) )).
fof(dt_k10_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_relat_1(k10_fomodel2(A,B,C)) & v1_funct_1(k10_fomodel2(A,B,C)) ) ) )).
fof(dt_k10_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) & v8_ordinal1(C) ) => m1_subset_1(k10_fomodel3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)))) ) )).
fof(dt_k10_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k10_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k10_freealg,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) & ~ v1_xboole_0(C) & m1_subset_1(D,u1_struct_0(k3_freealg(A,B))) & v1_funct_1(E) & v1_funct_2(E,k9_freealg(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_freealg(A,B),C))) ) => m1_subset_1(k10_freealg(A,B,C,D,E),C) ) )).
fof(dt_k10_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k10_ftacell1(A,B,C,D,E),k3_msafree2(k7_ftacell1(A,B,C,D,E))) )).
fof(dt_k10_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_funct_1(k10_funcop_1(A,B,C,D,E)) & v1_funct_2(k10_funcop_1(A,B,C,D,E),B,A) & m1_subset_1(k10_funcop_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k10_funcsdom,axiom,( ! [A] : ( ~ v2_struct_0(k10_funcsdom(A)) & v13_algstr_0(k10_funcsdom(A)) & v1_rlvect_1(k10_funcsdom(A)) & v2_rlvect_1(k10_funcsdom(A)) & v3_rlvect_1(k10_funcsdom(A)) & v4_rlvect_1(k10_funcsdom(A)) & v5_rlvect_1(k10_funcsdom(A)) & v6_rlvect_1(k10_funcsdom(A)) & v7_rlvect_1(k10_funcsdom(A)) & v8_rlvect_1(k10_funcsdom(A)) & l1_rlvect_1(k10_funcsdom(A)) ) )).
fof(dt_k10_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(k10_funct_2(A,B,C,D),B) ) )).
fof(dt_k10_funct_3,axiom,( ! [A] : ! [B] : ( v1_funct_1(k10_funct_3(A,B)) & v1_funct_2(k10_funct_3(A,B),k2_zfmisc_1(A,B),B) & m1_subset_1(k10_funct_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) )).
fof(dt_k10_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(C) & m1_funct_2(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,D))) & m1_subset_1(F,A) ) => m2_funct_2(k10_funct_5(A,B,C,D,E,F),B,C,D) ) )).
fof(dt_k10_functor0,axiom,( ! [A] : ! [B] : ( ( l2_altcat_1(A) & m1_altcat_2(B,A) ) => ( v9_functor0(k10_functor0(A,B),B,A) & l2_functor0(k10_functor0(A,B),B,A) ) ) )).
fof(dt_k10_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => m2_finseq_2(k10_fvsum_1(A,B,C,D),u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) ) )).
fof(dt_k10_gaussint,axiom,( v1_funct_1(k10_gaussint) & v1_funct_2(k10_gaussint,k2_zfmisc_1(k8_gaussint,k8_gaussint),k8_gaussint) & m1_subset_1(k10_gaussint,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_gaussint,k8_gaussint),k8_gaussint))) )).
fof(dt_k10_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) ) => m1_genealg1(k10_genealg1(A,B,C,D,E,F,G),A) ) )).
fof(dt_k10_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k10_gfacirc1(A,B,C)) & ~ v11_struct_0(k10_gfacirc1(A,B,C)) & v1_msualg_1(k10_gfacirc1(A,B,C)) & v1_circcomb(k10_gfacirc1(A,B,C)) & v2_circcomb(k10_gfacirc1(A,B,C)) & v3_circcomb(k10_gfacirc1(A,B,C)) & l1_msualg_1(k10_gfacirc1(A,B,C)) ) )).
fof(dt_k10_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_funct_1(k10_glib_000(A)) & v1_funct_2(k10_glib_000(A),k7_glib_000(A),k6_glib_000(A)) & m1_subset_1(k10_glib_000(A),k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),k6_glib_000(A)))) ) ) )).
fof(dt_k10_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => m3_glib_001(k10_glib_001(A,B,C),A) ) )).
fof(dt_k10_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m3_glib_001(B,A) ) => v1_xreal_0(k10_glib_003(A,B)) ) )).
fof(dt_k10_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => m2_glib_004(k10_glib_004(A,B),A) ) )).
fof(dt_k10_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & v5_glib_001(C,A) & m3_glib_001(C,A) ) => ( v1_relat_1(k10_glib_005(A,B,C)) & v4_relat_1(k10_glib_005(A,B,C),k7_glib_000(A)) & v1_funct_1(k10_glib_005(A,B,C)) & v1_partfun1(k10_glib_005(A,B,C),k7_glib_000(A)) & v4_valued_0(k10_glib_005(A,B,C)) ) ) )).
fof(dt_k10_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k10_graph_1(A,B),k4_ordinal1) ) )).
fof(dt_k10_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k9_graph_3(A)) ) => m2_finseq_2(k10_graph_3(A,B,C),u4_struct_0(A),k9_graph_3(A)) ) )).
fof(dt_k10_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_finseq_1(B,u4_struct_0(A)) & v1_relat_1(C) & v1_funct_1(C) ) => v1_xreal_0(k10_graph_5(A,B,C)) ) )).
fof(dt_k10_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( v15_algstr_0(k10_group_10(A,B,C,D)) & m1_group_2(k10_group_10(A,B,C,D),A) ) ) )).
fof(dt_k10_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k10_group_2(A,B,C)) & m1_group_2(k10_group_2(A,B,C),A) ) ) )).
fof(dt_k10_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v15_algstr_0(k10_group_3(A,B)) & m1_group_2(k10_group_3(A,B),A) ) ) )).
fof(dt_k10_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k10_group_4(A)) & v1_funct_2(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m1_subset_1(k10_group_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) ) ) )).
fof(dt_k10_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k10_group_5(A)) & m1_group_2(k10_group_5(A),A) ) ) )).
fof(dt_k10_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v15_algstr_0(k10_group_6(A,B,C)) & m1_group_2(k10_group_6(A,B,C),B) ) ) )).
fof(dt_k10_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => l1_group_9(k10_group_9(A,B,C),A) ) )).
fof(dt_k10_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ( v1_rlvect_1(k10_hahnban1(A)) & l1_rlvect_1(k10_hahnban1(A)) ) ) )).
fof(dt_k10_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => m1_subset_1(k10_heyting1(A,B),k5_finsub_1(u1_struct_0(k11_normform(A)))) ) )).
fof(dt_k10_huffman1,axiom,( ! [A] : m1_subset_1(k10_huffman1(A),k1_zfmisc_1(k1_zfmisc_1(k1_huffman1))) )).
fof(dt_k10_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k10_idea_1(A,B)) ) )).
fof(dt_k10_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k10_ideal_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k10_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) ) => ( v1_cat_1(k10_index_1(A,B)) & m4_index_1(k10_index_1(A,B),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) ) ) )).
fof(dt_k10_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => m2_finseq_2(k10_integr15(A,B,C),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k10_integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v1_xreal_0(k10_integra1(A,B)) ) )).
fof(dt_k10_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ( ~ v1_xboole_0(k10_interva1(A,B)) & m1_interva1(k10_interva1(A,B),A) ) ) )).
fof(dt_k10_intpro_1,axiom,( m1_subset_1(k10_intpro_1,k1_intpro_1) )).
fof(dt_k10_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,k6_cat_2(B,C)) ) => m2_cat_1(k10_isocat_2(A,B,C,D),A,C) ) )).
fof(dt_k10_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & v1_xreal_0(D) & v2_xxreal_0(D) ) => ( v1_funct_1(k10_jordan(A,B,C,D)) & v1_funct_2(k10_jordan(A,B,C,D),u1_struct_0(k7_toprealb(A,B,D)),u1_struct_0(k7_toprealb(A,B,D))) & m1_subset_1(k10_jordan(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(A,B,D)),u1_struct_0(k7_toprealb(A,B,D))))) ) ) )).
fof(dt_k10_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k10_jordan5d(A)) ) )).
fof(dt_k10_jordan6,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k10_jordan6(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k10_knaster,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k10_knaster(A,B),u1_struct_0(A)) ) )).
fof(dt_k10_laplace,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v1_matrix_0(k10_laplace(A,B)) & v2_matrix_0(k10_laplace(A,B),A,1,k3_finseq_1(B)) & m2_finseq_1(k10_laplace(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k10_lattad_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_enumset1(1,2,3)) & m1_subset_1(B,k1_enumset1(1,2,3)) ) => m1_subset_1(k10_lattad_1(A,B),k1_enumset1(1,2,3)) ) )).
fof(dt_k10_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k10_lattice3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k10_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( v1_funct_1(k10_lattice5(A,B,C)) & v1_funct_2(k10_lattice5(A,B,C),k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(k10_lattice5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) ) )).
fof(dt_k10_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) => m1_subset_1(k10_lexbfs(A,B),k6_glib_000(A)) ) )).
fof(dt_k10_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_subset_1(D,k7_lmod_7(A,B,C)) & m1_subset_1(E,k7_lmod_7(A,B,C)) ) => m1_subset_1(k10_lmod_7(A,B,C,D,E),k7_lmod_7(A,B,C)) ) )).
fof(dt_k10_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => m1_subset_1(k10_lopban_1(A,B),k1_zfmisc_1(u1_struct_0(k8_lopban_1(A,B)))) ) )).
fof(dt_k10_lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k10_lopban_4(A,B),u1_struct_0(A)) ) )).
fof(dt_k10_lpspacc1,axiom,( ! [A] : m2_rfunct_3(k10_lpspacc1(A),A,k2_numbers,k3_rfunct_3(A,k2_numbers)) )).
fof(dt_k10_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k10_lpspace1(A,B,C)) & l1_rlvect_1(k10_lpspace1(A,B,C)) ) ) )).
fof(dt_k10_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_rlvect_1(k10_lpspace2(A,B,C,D)) & l1_rlvect_1(k10_lpspace2(A,B,C,D)) ) ) )).
fof(dt_k10_ltlaxio1,axiom,( m1_subset_1(k10_ltlaxio1,k1_zfmisc_1(k1_hilbert1)) )).
fof(dt_k10_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( v1_finset_1(k10_ltlaxio3(A)) & m1_subset_1(k10_ltlaxio3(A),k1_zfmisc_1(k1_hilbert1)) ) ) )).
fof(dt_k10_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & m1_finseq_1(C,u1_struct_0(k6_prvect_1(A,B))) ) => ( v1_matrix_0(k10_matrix13(A,B,C)) & v2_matrix_0(k10_matrix13(A,B,C),u1_struct_0(A),k3_finseq_1(C),B) & m2_finseq_1(k10_matrix13(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k10_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k10_matrix_0(A,B,C)) & v1_funct_1(k10_matrix_0(A,B,C)) & v1_finseq_1(k10_matrix_0(A,B,C)) & v1_matrix_0(k10_matrix_0(A,B,C)) ) ) )).
fof(dt_k10_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v15_algstr_0(k10_matrix_1(A)) & l3_algstr_0(k10_matrix_1(A)) ) ) )).
fof(dt_k10_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & m1_subset_1(D,k9_matrix_1(A)) ) => m2_finseq_1(k10_matrix_3(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k10_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => m2_finseq_1(k10_matrixc1(A),k2_numbers) ) )).
fof(dt_k10_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => m2_finseq_2(k10_matrixj1(A,B),k4_ordinal1,k4_finseq_2(k3_finseq_1(B),k4_ordinal1)) ) )).
fof(dt_k10_matrixr1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => ( v1_matrix_0(k10_matrixr1(A)) & m2_finseq_1(k10_matrixr1(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k10_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_finseq_1(E,u1_struct_0(B)) & m1_matrlin(F,A,C) ) => ( v1_matrix_0(k10_matrlin(A,B,C,D,E,F)) & m2_finseq_1(k10_matrlin(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k10_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(E,k1_zfmisc_1(A)) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(H,k1_zfmisc_1(D)) ) => m1_subset_1(k10_mcart_1(A,B,C,D,E,F,G,H),k1_zfmisc_1(k4_zfmisc_1(A,B,C,D))) ) )).
fof(dt_k10_measure7,axiom,( v1_funct_1(k10_measure7) & v1_funct_2(k10_measure7,k9_setfam_1(k1_numbers),k6_numbers) & m1_subset_1(k10_measure7,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_numbers),k6_numbers))) )).
fof(dt_k10_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_measure8(C,A,B) & v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k10_measure8(A,B,C,D)) & v1_funct_2(k10_measure8(A,B,C,D),k4_ordinal1,k6_numbers) & m1_subset_1(k10_measure8(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k10_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v7_ordinal1(D) ) => ( v1_relat_1(k10_memstr_0(A,B,C,D)) & v4_relat_1(k10_memstr_0(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k10_memstr_0(A,B,C,D)) & v5_funct_1(k10_memstr_0(A,B,C,D),k2_memstr_0(A,B)) ) ) )).
fof(dt_k10_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_funct_1(k10_mesfun7c(A,B)) & m1_subset_1(k10_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k10_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k10_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k10_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v1_funct_1(k10_metric_2(A)) & v1_funct_2(k10_metric_2(A),k2_zfmisc_1(k2_metric_2(A),k2_metric_2(A)),k1_numbers) & m1_subset_1(k10_metric_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_metric_2(A),k2_metric_2(A)),k1_numbers))) ) ) )).
fof(dt_k10_metric_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( v1_funct_1(k10_metric_3(A,B)) & v1_funct_2(k10_metric_3(A,B),k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers) & m1_subset_1(k10_metric_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers))) ) ) )).
fof(dt_k10_midsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & l1_midsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(u1_midsp_2(A,B))) ) => m1_subset_1(k10_midsp_2(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k10_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_midsp_3(B,A) & v4_midsp_2(C,B) & l1_midsp_2(C,B) & m1_subset_1(D,k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) ) => m1_subset_1(k10_midsp_3(A,B,C,D),u1_struct_0(u1_midsp_2(B,C))) ) )).
fof(dt_k10_mmlquer2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_relat_1(k10_mmlquer2(A,B,C)) & v5_relat_1(k10_mmlquer2(A,B,C),A) & v1_funct_1(k10_mmlquer2(A,B,C)) & v5_ordinal1(k10_mmlquer2(A,B,C)) & v1_finset_1(k10_mmlquer2(A,B,C)) ) ) )).
fof(dt_k10_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(D) ) => m1_subset_1(k10_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k10_mod_2,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) => m1_subset_1(k10_mod_2(A),k1_enumset1(k5_numbers,1,2)) ) )).
fof(dt_k10_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => m1_subset_1(k10_modal_1(A),k6_modal_1) ) )).
fof(dt_k10_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => ( v1_funct_1(k10_modcat_1(A,B)) & m1_subset_1(k10_modcat_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A,B),k4_modcat_1(A,B)),k4_modcat_1(A,B)))) ) ) )).
fof(dt_k10_modelc_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k10_modelc_1(A),k4_ordinal1) ) )).
fof(dt_k10_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_2(k10_modelc_2(A)) & m2_finseq_1(k10_modelc_2(A),k4_ordinal1) ) ) )).
fof(dt_k10_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_modelc_3(k10_modelc_3(A,B),B) & l1_modelc_3(k10_modelc_3(A,B),B) ) ) )).
fof(dt_k10_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v3_lattices(k10_moebius2(A)) & m2_nat_lat(k10_moebius2(A),k10_nat_lat) ) ) )).
fof(dt_k10_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k10_monoid_0(A)) & v22_algstr_0(k10_monoid_0(A)) & v4_vectsp_1(k10_monoid_0(A)) & m1_monoid_0(k10_monoid_0(A),k9_monoid_0(A)) ) ) )).
fof(dt_k10_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,u1_struct_0(k9_monoid_1(A,B))) & m1_subset_1(D,B) ) => m1_subset_1(k10_monoid_1(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k10_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m2_pboole(k10_msafree(A,B),u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),k3_relat_1(u2_msualg_1(A),k8_msafree(A,B))) ) )).
fof(dt_k10_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ( v3_msualg_1(k10_msafree4(A,B,C),A) & v4_msualg_1(k10_msafree4(A,B,C),A) & l3_msualg_1(k10_msafree4(A,B,C),A) ) ) )).
fof(dt_k10_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) ) => v7_ordinal1(k10_msafree5(A,B,C,D)) ) )).
fof(dt_k10_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => ( v3_msualg_1(k10_msualg_2(A,B,C),A) & m1_msualg_2(k10_msualg_2(A,B,C),A,B) ) ) )).
fof(dt_k10_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_msualg_4(k10_msualg_6(A,B,C),A,B) & v3_msualg_6(k10_msualg_6(A,B,C),A,B) & v4_msualg_6(k10_msualg_6(A,B,C),A,B) & m1_msualg_4(k10_msualg_6(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k10_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A),A))) & v7_ordinal1(C) & m1_subset_1(D,A) ) => m1_subset_1(k10_nat_1(A,B,C,D),A) ) )).
fof(dt_k10_nat_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k10_nat_3(A,B)) ) )).
fof(dt_k10_nat_lat,axiom,( v3_lattices(k10_nat_lat) & l3_lattices(k10_nat_lat) )).
fof(dt_k10_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v1_cat_1(k10_nattra_1(A)) & m3_cat_2(k10_nattra_1(A),A) ) ) )).
fof(dt_k10_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( v1_funct_1(k10_ndiff_7(A,B,C,D,E)) & m1_subset_1(k10_ndiff_7(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k16_lopban_1(B,C))))) ) ) )).
fof(dt_k10_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_int_2(k10_newton(A)) & m1_subset_1(k10_newton(A),k4_ordinal1) ) ) )).
fof(dt_k10_normform,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) & m1_subset_1(C,k5_finsub_1(k7_normform(A))) ) => m1_subset_1(k10_normform(A,B,C),k5_finsub_1(k7_normform(A))) ) )).
fof(dt_k10_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ( ~ v2_struct_0(k10_normsp_3(A,B)) & v13_algstr_0(k10_normsp_3(A,B)) & v2_rlvect_1(k10_normsp_3(A,B)) & v3_rlvect_1(k10_normsp_3(A,B)) & v4_rlvect_1(k10_normsp_3(A,B)) & v5_rlvect_1(k10_normsp_3(A,B)) & v6_rlvect_1(k10_normsp_3(A,B)) & v7_rlvect_1(k10_normsp_3(A,B)) & v8_rlvect_1(k10_normsp_3(A,B)) & l1_rlvect_1(k10_normsp_3(A,B)) ) ) )).
fof(dt_k10_numpoly1,axiom,( v1_funct_1(k10_numpoly1) & v1_funct_2(k10_numpoly1,k4_ordinal1,k1_numbers) & m1_subset_1(k10_numpoly1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k10_openlatt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k10_openlatt(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k10_oppcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( v1_funct_1(k10_oppcat_1(A,B,C)) & v1_funct_2(k10_oppcat_1(A,B,C),u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)) & m1_subset_1(k10_oppcat_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)))) ) ) )).
fof(dt_k10_ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k10_ordinal2(A,B)) ) )).
fof(dt_k10_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k4_dtconstr(k2_osafree(A,B))) ) => m1_subset_1(k10_osafree(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k10_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & m2_osalg_2(C,A,B) ) => ( v3_msualg_1(k10_osalg_2(A,B,C),A) & v12_osalg_1(k10_osalg_2(A,B,C),A) & m1_msualg_2(k10_osalg_2(A,B,C),A,B) ) ) )).
fof(dt_k10_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_osalg_4(D,A,C) ) => ( v1_funct_1(k10_osalg_4(A,B,C,D)) & v1_funct_2(k10_osalg_4(A,B,C,D),k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)) & m1_subset_1(k10_osalg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)))) ) ) )).
fof(dt_k10_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pcs_0(A) & ~ v2_struct_0(B) & l1_pcs_0(B) & m1_subset_1(C,u1_struct_0(k8_pcs_0(A,B))) ) => m1_subset_1(k10_pcs_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k10_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & m1_subset_1(D,k1_euclid(A)) ) => v1_xreal_0(k10_pdiff_1(A,B,C,D)) ) )).
fof(dt_k10_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ~ v1_xboole_0(k10_petri(A,B,C)) & m1_subset_1(k10_petri(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k10_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) & m1_subset_1(C,u4_struct_0(A)) & m1_petri_2(D,u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C))) & m1_petri_2(E,u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C))) & v1_funct_1(F) & v1_funct_2(F,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)))) & v1_funct_1(G) & v1_funct_2(G,k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E),u1_petri_2(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),E),u1_petri_2(A)))) & m1_subset_1(H,u1_struct_0(A)) ) => ( v1_funct_1(k10_petri_3(A,B,C,D,E,F,G,H)) & v1_funct_2(k10_petri_3(A,B,C,D,E,F,G,H),u1_petri_2(A),k4_ordinal1) & m1_subset_1(k10_petri_3(A,B,C,D,E,F,G,H),k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) ) )).
fof(dt_k10_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_pnproc_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(B))) ) => m1_subset_1(k10_pnproc_1(A,B,C,D),k1_zfmisc_1(k3_finseq_2(B))) ) )).
fof(dt_k10_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => m1_subset_1(k10_polyform(A),k4_ordinal1) ) )).
fof(dt_k10_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k10_polynom1(A,B,C,D)) & v1_funct_2(k10_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k10_polynom1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k10_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ( v1_funct_1(k10_polynom3(A)) & v1_funct_2(k10_polynom3(A),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k10_polynom3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k10_polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k10_polynom5(A,B)) & v1_funct_2(k10_polynom5(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k10_polynom5(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k10_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ( v1_funct_1(k10_poset_1(A)) & v1_funct_2(k10_poset_1(A),u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)) & m1_subset_1(k10_poset_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)))) ) ) )).
fof(dt_k10_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & m1_subset_1(C,A) ) => l1_struct_0(k10_pralg_1(A,B,C)) ) )).
fof(dt_k10_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => ( v1_relat_1(k10_pralg_2(A,B,C)) & v4_relat_1(k10_pralg_2(A,B,C),u1_struct_0(B)) & v1_funct_1(k10_pralg_2(A,B,C)) & v1_partfun1(k10_pralg_2(A,B,C),u1_struct_0(B)) ) ) )).
fof(dt_k10_pre_poly,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k3_finseq_2(A)) => ( v1_card_3(k10_pre_poly(A,B)) & m2_finseq_1(k10_pre_poly(A,B),k4_ordinal1) ) ) )).
fof(dt_k10_prob_1,axiom,( ! [A] : ( v1_xxreal_0(A) => m1_subset_1(k10_prob_1(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k10_prob_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v2_prob_3(k10_prob_3(A,B),A) & v3_prob_3(k10_prob_3(A,B),A) & m1_subset_1(k10_prob_3(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k10_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m2_prvect_1(B,A) & m1_subset_1(C,k4_finseq_1(A)) ) => ( v1_funct_1(k10_prvect_1(A,B,C)) & v1_funct_2(k10_prvect_1(A,B,C),k1_funct_1(A,C),k1_funct_1(A,C)) & m1_subset_1(k10_prvect_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)))) ) ) )).
fof(dt_k10_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ( ~ v2_struct_0(k10_prvect_2(A)) & v1_rlvect_1(k10_prvect_2(A)) & l1_rlvect_1(k10_prvect_2(A)) ) ) )).
fof(dt_k10_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k10_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k10_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m4_pua2mss1(B,A) ) => m3_pua2mss1(k10_pua2mss1(A,B),A) ) )).
fof(dt_k10_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k6_qc_lang1(A)) & m1_finseq_1(C,k2_qc_lang1(A)) ) => m1_subset_1(k10_qc_lang1(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k10_qc_lang2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k10_qc_lang2(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k10_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => m1_subset_1(k10_qmax_1(A),k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A)),k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))))) ) )).
fof(dt_k10_quaterni,axiom,( m1_subset_1(k10_quaterni,k1_quaterni) )).
fof(dt_k10_quofield,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) ) => m2_subset_1(k10_quofield(A,B),k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) ) )).
fof(dt_k10_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v3_card_1(k10_radix_1(A,B,C),B) & m2_finseq_1(k10_radix_1(A,B,C),k3_radix_1(A)) ) ) )).
fof(dt_k10_radix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,A) & m1_finseq_1(C,k3_radix_1(B)) ) => ( v3_card_1(k10_radix_3(A,B,C),k2_xcmplx_0(A,1)) & m2_finseq_1(k10_radix_3(A,B,C),k4_radix_3(B)) ) ) )).
fof(dt_k10_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v3_card_1(k10_radix_6(A,B,C),A) & m2_finseq_1(k10_radix_6(A,B,C),k3_radix_1(C)) ) ) )).
fof(dt_k10_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => v7_ordinal1(k10_ranknull(A,B,C,D)) ) )).
fof(dt_k10_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) & m1_ratfunc1(C,A) ) => m1_ratfunc1(k10_ratfunc1(A,B,C),A) ) )).
fof(dt_k10_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ( ~ v1_xboole_0(k10_ringcat1(A)) & v5_ringcat1(k10_ringcat1(A)) ) ) )).
fof(dt_k10_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) ) => m1_rlvect_2(k10_rlvect_2(A,B,C),A) ) )).
fof(dt_k10_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v2_vectsp_2(k10_rmod_4(A,B,C),A) & m1_rmod_2(k10_rmod_4(A,B,C),A,B) ) ) )).
fof(dt_k10_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k10_robbins1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k10_rsspace,axiom,( ~ v2_struct_0(k10_rsspace) & l1_bhsp_1(k10_rsspace) )).
fof(dt_k10_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_xreal_0(B) ) => m2_finseq_1(k10_rvsum_1(A,B),k1_numbers) ) )).
fof(dt_k10_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v1_xcmplx_0(C) ) => m2_finseq_2(k10_rvsum_2(A,B,C),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k10_scm_comp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k7_dtconstr(k1_scm_comp)) & v1_int_1(B) & v1_int_1(C) ) => v1_int_1(k10_scm_comp(A,B,C)) ) )).
fof(dt_k10_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => m1_subset_1(k10_scmfsa_1(A),k4_ordinal1) ) )).
fof(dt_k10_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k10_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k10_scmfsa_m,axiom,( v1_funct_1(k10_scmfsa_m) & m1_subset_1(k10_scmfsa_m,k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(k5_card_1(3),k1_scmfsa_2),k11_memstr_0(k5_card_1(3),k1_scmfsa_2)))) )).
fof(dt_k10_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => m1_subset_1(k10_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k10_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( v1_relat_1(k10_scmpds_6(A,B,C)) & v4_relat_1(k10_scmpds_6(A,B,C),k4_ordinal1) & v5_relat_1(k10_scmpds_6(A,B,C),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k10_scmpds_6(A,B,C)) & v1_funct_1(k10_scmpds_6(A,B,C)) & v1_finset_1(k10_scmpds_6(A,B,C)) & v1_afinsq_1(k10_scmpds_6(A,B,C)) ) ) )).
fof(dt_k10_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => m1_subset_1(k10_scmpds_i(A),k2_scm_inst) ) )).
fof(dt_k10_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => v7_ordinal1(k10_scmyciel(A)) ) )).
fof(dt_k10_seq_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & v1_xcmplx_0(B) ) => m2_finseq_1(k10_seq_4(A,B),k2_numbers) ) )).
fof(dt_k10_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & m1_subset_1(C,A) ) => ( v1_funct_1(k10_seqfunc(A,B,C)) & v1_funct_2(k10_seqfunc(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k10_seqfunc(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k10_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => m1_subset_1(k10_setwiseo(A,B,C,D),k5_finsub_1(B)) ) )).
fof(dt_k10_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matroid0(B) & m1_simplex0(B,A) & v2_int_1(C) ) => m2_simplex0(k10_simplex0(A,B,C),A,B) ) )).
fof(dt_k10_sin_cos,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => ( v1_funct_1(k10_sin_cos(A,B,C)) & v1_funct_2(k10_sin_cos(A,B,C),k4_ordinal1,k2_numbers) & m1_subset_1(k10_sin_cos(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k10_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => m1_subset_1(k10_stacks_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)))) ) )).
fof(dt_k10_sublemma,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) ) => m2_subset_1(k10_sublemma(A,B),k16_substut1(A),k38_substut1(A)) ) )).
fof(dt_k10_subset_1,axiom,( ! [A] : ! [B] : m1_subset_1(k10_subset_1(A,B),B) )).
fof(dt_k10_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( v1_finset_1(k10_substut1(A,B)) & m1_subset_1(k10_substut1(A,B),k1_zfmisc_1(k1_qc_lang1(A))) ) ) )).
fof(dt_k10_supinf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_membered(A) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => m1_subset_1(k10_supinf_2(A,B,C,D),k6_numbers) ) )).
fof(dt_k10_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k10_tdlat_1(A)) & v1_funct_2(k10_tdlat_1(A),k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)) & m1_subset_1(k10_tdlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)))) ) ) )).
fof(dt_k10_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & m1_pre_topc(C,A) & ~ v2_struct_0(D) & m1_pre_topc(D,A) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) ) )).
fof(dt_k10_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_borsuk_2(E,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D),k4_borsuk_1(A,B,C,D)) ) => m1_borsuk_2(k10_topalg_4(A,B,C,D,E),B,D,D) ) )).
fof(dt_k10_topalg_7,axiom,( v1_funct_1(k10_topalg_7) & v1_funct_2(k10_topalg_7,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k5_topmetr)) & m1_subset_1(k10_topalg_7,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k5_topmetr)))) )).
fof(dt_k10_toprealb,axiom,( m1_subset_1(k10_toprealb,u1_struct_0(k8_toprealb(2))) )).
fof(dt_k10_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k10_toprealc(A,B,C),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k10_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) => m1_subset_1(k10_turing_1(A,B),k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) )).
fof(dt_k10_twoscomp,axiom,( v1_funct_1(k10_twoscomp) & v1_funct_2(k10_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k10_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k10_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_funct_1(k10_unialg_2(A)) & v1_funct_2(k10_unialg_2(A),k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)) & m1_subset_1(k10_unialg_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)))) ) ) )).
fof(dt_k10_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k10_vectsp10(A,B,C,D)) & v1_funct_2(k10_vectsp10(A,B,C,D),u1_struct_0(k6_vectsp10(A,B,C)),u1_struct_0(A)) & v13_vectsp_1(k10_vectsp10(A,B,C,D),k6_vectsp10(A,B,C),A) & m1_subset_1(k10_vectsp10(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,C)),u1_struct_0(A)))) ) ) )).
fof(dt_k10_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k10_vsdiff_1(A,B,C,D,E,F)) & v1_funct_2(k10_vsdiff_1(A,B,C,D,E,F),k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))) & m1_subset_1(k10_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))))) ) ) )).
fof(dt_k10_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k10_waybel34(A)) & v2_altcat_1(k10_waybel34(A)) & v6_altcat_1(k10_waybel34(A)) & v2_altcat_2(k10_waybel34(A),k8_waybel34(A)) & v3_altcat_2(k10_waybel34(A),k8_waybel34(A)) & m1_altcat_2(k10_waybel34(A),k8_waybel34(A)) ) ) )).
fof(dt_k10_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k10_waybel_4(A)) & v1_funct_2(k10_waybel_4(A),u1_struct_0(k8_waybel_4(A)),u1_struct_0(k1_yellow_1(k3_waybel_4(A)))) & m1_subset_1(k10_waybel_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_waybel_4(A)),u1_struct_0(k1_yellow_1(k3_waybel_4(A)))))) ) ) )).
fof(dt_k10_weierstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => v1_xreal_0(k10_weierstr(A,B,C)) ) )).
fof(dt_k10_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v3_yellow_6(B,A) & l1_waybel_0(B,A) ) => m1_subset_1(k10_yellow_6(A,B),u1_struct_0(A)) ) )).
fof(dt_k10_zf_lang,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & v1_zf_lang(B) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_zf_lang(k10_zf_lang(A,B)) & m2_finseq_1(k10_zf_lang(A,B),k4_ordinal1) ) ) )).
fof(dt_k10_zf_model,axiom,( v1_zf_lang(k10_zf_model) & m2_finseq_1(k10_zf_model,k4_ordinal1) )).
fof(dt_k10_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k10_zmodul01(A)) & v1_funct_2(k10_zmodul01(A),k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)) & m1_subset_1(k10_zmodul01(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)))) ) ) )).
fof(dt_k10_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ( ~ v2_struct_0(k10_zmodul02(A,B)) & v13_algstr_0(k10_zmodul02(A,B)) & v2_rlvect_1(k10_zmodul02(A,B)) & v3_rlvect_1(k10_zmodul02(A,B)) & v4_rlvect_1(k10_zmodul02(A,B)) & v1_zmodul01(k10_zmodul02(A,B)) & v2_zmodul01(k10_zmodul02(A,B)) & v3_zmodul01(k10_zmodul02(A,B)) & v4_zmodul01(k10_zmodul02(A,B)) & v5_zmodul01(k10_zmodul02(A,B)) & l1_zmodul01(k10_zmodul02(A,B)) ) ) )).
fof(dt_k11_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) ) => m1_subset_1(k11_abcmiz_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k11_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( v1_relat_1(k11_abcmiz_a(A,B,C)) & v1_funct_1(k11_abcmiz_a(A,B,C)) & v1_finseq_1(k11_abcmiz_a(A,B,C)) & v6_trees_3(k11_abcmiz_a(A,B,C)) ) ) )).
fof(dt_k11_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => m1_subset_1(k11_afproj(A),k1_zfmisc_1(k2_zfmisc_1(k9_afproj(A),k10_afproj(A)))) ) )).
fof(dt_k11_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_int_1(B) ) => ( v1_relat_1(k11_ami_3(A,B)) & v4_relat_1(k11_ami_3(A,B),u1_struct_0(k1_ami_3)) & v1_funct_1(k11_ami_3(A,B)) & v5_funct_1(k11_ami_3(A,B),k2_memstr_0(k5_card_1(2),k1_ami_3)) ) ) )).
fof(dt_k11_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & l1_unialg_1(A) ) => m1_freealg(k11_aofa_000(A),A) ) )).
fof(dt_k11_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & m1_msafree(C,A,B) & ~ v2_struct_0(D) & l3_aofa_a00(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),C,E)) & m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) ) => m1_subset_1(k11_aofa_a00(A,B,C,D,E,F,G),u1_struct_0(D)) ) )).
fof(dt_k11_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v19_aofa_a00(E,A) & m1_subset_1(E,u1_struct_0(A)) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),k36_aofa_a00(A)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),k36_aofa_a00(A))) & v1_int_1(G) ) => m1_subset_1(k11_aofa_a01(A,B,C,D,E,F,G),k1_funct_1(u3_msualg_1(A,C),E)) ) )).
fof(dt_k11_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( v1_funct_1(k11_aofa_i00(A,B,C)) & v1_funct_2(k11_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k11_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k11_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => m1_subset_1(k11_aofa_l00(A,B,C),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) )).
fof(dt_k11_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => m1_subset_1(k11_armstrng(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k11_arytm_3,axiom,( m1_subset_1(k11_arytm_3,k5_arytm_3) )).
fof(dt_k11_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => m1_funct_2(k11_asympt_0(A,B),k4_ordinal1,k1_numbers) ) )).
fof(dt_k11_bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) ) => m1_subset_1(k11_bagorder(A,B),u1_struct_0(A)) ) )).
fof(dt_k11_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => m1_subset_1(k11_bilinear(A,B,C,D),k1_zfmisc_1(u1_struct_0(C))) ) )).
fof(dt_k11_binop_2,axiom,( v1_funct_1(k11_binop_2) & v1_funct_2(k11_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(k11_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) )).
fof(dt_k11_borsuk_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) ) => ( v1_pre_topc(k11_borsuk_1(A,B)) & v2_pre_topc(k11_borsuk_1(A,B)) & l1_pre_topc(k11_borsuk_1(A,B)) ) ) )).
fof(dt_k11_borsuk_7,axiom,( v1_funct_1(k11_borsuk_7) & v1_funct_2(k11_borsuk_7,u1_struct_0(k3_topmetr),u1_struct_0(k8_toprealb(3))) & m1_subset_1(k11_borsuk_7,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k8_toprealb(3))))) )).
fof(dt_k11_bspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,u1_struct_0(k7_bspace(A))) & m1_subset_1(C,A) ) => m2_finseq_1(k11_bspace(A,B,C),u1_struct_0(k2_bspace)) ) )).
fof(dt_k11_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k11_bvfunc_1(A)) & v1_funct_2(k11_bvfunc_1(A),A,k5_margrel1) & m1_subset_1(k11_bvfunc_1(A),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k11_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => l1_lopban_2(k11_c0sp1(A)) ) )).
fof(dt_k11_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & m1_subset_1(B,k4_card_3(A)) ) => m1_subset_1(k11_card_3(A,B,C),k8_card_3(A)) ) )).
fof(dt_k11_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k11_cat_1(A,B,C,D,E)) & v1_funct_2(k11_cat_1(A,B,C,D,E),k2_cat_1(A,D,E),k2_cat_1(B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E))) & m1_subset_1(k11_cat_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,D,E),k2_cat_1(B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E))))) ) ) )).
fof(dt_k11_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m1_subset_1(E,u1_struct_0(B)) ) => m2_cat_1(k11_cat_2(A,B,C,D,E),A,C) ) )).
fof(dt_k11_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k11_cat_3(A,B,C),A,B,C) ) )).
fof(dt_k11_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k11_cat_4(A,B),A,B,k2_cat_4(A,k1_cat_4(A),B)) ) )).
fof(dt_k11_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k11_cat_5(A,B)) & ~ v11_struct_0(k11_cat_5(A,B)) & v1_cat_1(k11_cat_5(A,B)) & v2_cat_1(k11_cat_5(A,B)) & v3_cat_1(k11_cat_5(A,B)) & v4_cat_1(k11_cat_5(A,B)) & v5_cat_1(k11_cat_5(A,B)) & v6_cat_1(k11_cat_5(A,B)) & v1_cat_5(k11_cat_5(A,B)) & l1_cat_1(k11_cat_5(A,B)) ) ) )).
fof(dt_k11_cat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) & ~ v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v16_cat_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k6_cat_6(A)) ) => m1_subset_1(k11_cat_6(A,B,C,D),k6_cat_6(B)) ) )).
fof(dt_k11_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => ( v1_funct_1(k11_catalg_1(A,B,C)) & v1_funct_2(k11_catalg_1(A,B,C),u1_struct_0(k3_catalg_1(u1_struct_0(A))),u1_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(k11_catalg_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_catalg_1(u1_struct_0(A))),u1_struct_0(k3_catalg_1(u1_struct_0(B)))))) ) ) )).
fof(dt_k11_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => m1_subset_1(k11_cgames_1(A),k1_zfmisc_1(k10_cgames_1(A))) ) )).
fof(dt_k11_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) ) => m3_chain_1(k11_chain_1(A,B,C),A,B,C) ) )).
fof(dt_k11_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( v1_funct_1(k11_clopban1(A,B,C)) & v1_funct_2(k11_clopban1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(k11_clopban1(A,B,C),A,B) & v1_clopban1(k11_clopban1(A,B,C),A,B) & v2_clopban1(k11_clopban1(A,B,C),A,B) & m1_subset_1(k11_clopban1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k11_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v15_closure2(B,A) & l1_closure2(B,A) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => m1_closure2(k11_closure2(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) ) )).
fof(dt_k11_coh_sp,axiom,( ! [A] : ( v1_funct_1(k11_coh_sp(A)) & v1_funct_2(k11_coh_sp(A),k5_coh_sp(A),k3_coh_sp(A)) & m1_subset_1(k11_coh_sp(A),k1_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A),k3_coh_sp(A)))) ) )).
fof(dt_k11_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(k11_cohsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(B)))) ) )).
fof(dt_k11_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & m1_subset_1(B,u1_compos_1(A)) ) => ( v1_relat_1(k11_compos_1(A,B)) & v4_relat_1(k11_compos_1(A,B),k4_ordinal1) & v5_relat_1(k11_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k11_compos_1(A,B)) & v1_finset_1(k11_compos_1(A,B)) ) ) )).
fof(dt_k11_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => m1_subset_1(k11_comput_1(A),k1_zfmisc_1(k2_comput_1(k4_ordinal1))) ) )).
fof(dt_k11_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => m1_subset_1(k11_comseq_3(A),k2_numbers) ) )).
fof(dt_k11_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( ~ v2_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & l3_lattices(k11_conlat_1(A)) ) ) )).
fof(dt_k11_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_subset_1(B,k10_convex4(A)) ) => m1_convex4(k11_convex4(A,B),A) ) )).
fof(dt_k11_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k11_cqc_lang(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k11_cqc_sim1,axiom,( ! [A] : m1_subset_1(k11_cqc_sim1(A),k1_funct_2(A,A)) )).
fof(dt_k11_csspace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_xreal_0(k11_csspace(A,B)) ) )).
fof(dt_k11_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k11_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k11_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k5_margrel1)) & m1_subset_1(C,k4_finseq_2(A,k5_margrel1)) ) => m2_finseq_2(k11_descip_1(A,B,C),k5_margrel1,k4_finseq_2(A,k5_margrel1)) ) )).
fof(dt_k11_dickson,axiom,( ~ v2_struct_0(k11_dickson) & l1_orders_2(k11_dickson) )).
fof(dt_k11_diff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => v1_xreal_0(k11_diff_1(A,B,C,D,E)) ) )).
fof(dt_k11_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_dist_1(k11_dist_1(A),A) ) )).
fof(dt_k11_dist_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) & m4_dist_2(C,A,B) ) => ( v1_setfam_1(k11_dist_2(A,B,C)) & m2_subset_1(k11_dist_2(A,B,C),k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) ) )).
fof(dt_k11_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) ) => m1_subset_1(k11_domain_1(A,B,C,D,E,F,G),k1_zfmisc_1(A)) ) )).
fof(dt_k11_dtconstr,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m1_subset_1(k11_dtconstr(A),k4_ordinal1) ) )).
fof(dt_k11_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => m1_subset_1(k11_dualsp01(A),k1_zfmisc_1(u1_struct_0(k8_dualsp01(A)))) ) )).
fof(dt_k11_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k11_e_siec(A)) ) )).
fof(dt_k11_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k11_ens_1(A)) & ~ v11_struct_0(k11_ens_1(A)) & v1_cat_1(k11_ens_1(A)) & l1_cat_1(k11_ens_1(A)) ) ) )).
fof(dt_k11_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_eqrel_1(C,A) ) => m1_subset_1(k11_eqrel_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k11_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => m2_finseq_2(k11_euclid(A,B),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k11_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) & m1_subset_1(E,u1_struct_0(k15_euclid(A))) ) => v1_xreal_0(k11_euclid_3(A,B,C,D,E)) ) )).
fof(dt_k11_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & l1_msualg_1(A) & v4_msafree2(B,A) & v6_circcomb(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k11_facirc_1(A,B,C,D),k5_margrel1) ) )).
fof(dt_k11_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_nat_lat(B,A) ) => ( v3_lattices(k11_filter_2(A,B)) & m2_nat_lat(k11_filter_2(A,B),k1_lattice2(A)) ) ) )).
fof(dt_k11_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k11_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k11_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,C) & v4_prob_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(C))) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,E))) & m1_subset_1(G,C) ) => v1_xreal_0(k11_finance1(A,B,C,D,E,F,G)) ) )).
fof(dt_k11_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k11_fintopo2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k11_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v1_relat_1(D) & v1_funct_1(D) & v2_fomodel2(D,A,B,C) & v10_fomodel1(E,A) & m1_subset_1(E,k1_fomodel1(A)) ) => m2_fomodel2(k11_fomodel2(A,B,C,D,E),A,B,E) ) )).
fof(dt_k11_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k11_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k11_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k3_freealg(A,B))) ) => v7_ordinal1(k11_freealg(A,B,C)) ) )).
fof(dt_k11_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ( v2_fsm_1(k11_fsm_1(A,B,C),A,B) & l2_fsm_1(k11_fsm_1(A,B,C),A,B) ) ) )).
fof(dt_k11_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k11_ftacell1(A,B,C,D,E),k3_msafree2(k7_ftacell1(A,B,C,D,E))) )).
fof(dt_k11_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => m1_subset_1(k11_funcop_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,C))) ) )).
fof(dt_k11_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v36_algstr_0(k11_funcsdom(A)) & l6_algstr_0(k11_funcsdom(A)) ) ) )).
fof(dt_k11_funct_3,axiom,( ! [A] : ( v1_relat_1(k11_funct_3(A)) & v1_funct_1(k11_funct_3(A)) ) )).
fof(dt_k11_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k11_funct_5(A,B,C,D)) & v1_funct_2(k11_funct_5(A,B,C,D),A,k9_funct_2(B,C)) & m1_subset_1(k11_funct_5(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) ) )).
fof(dt_k11_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( v1_funct_1(k11_funct_7(A,B,C)) & v1_funct_2(k11_funct_7(A,B,C),k4_ordinal1,A) & m1_subset_1(k11_funct_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k11_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ( v9_functor0(k11_functor0(A),A,A) & l2_functor0(k11_functor0(A),A,A) ) ) )).
fof(dt_k11_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_struct_0(A)) ) => m2_finseq_1(k11_fvsum_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k11_gaussint,axiom,( ~ v2_struct_0(k11_gaussint) & v36_algstr_0(k11_gaussint) & l6_algstr_0(k11_gaussint) )).
fof(dt_k11_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) ) => m1_genealg1(k11_genealg1(A,B,C,D,E,F,G,H),A) ) )).
fof(dt_k11_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k11_gfacirc1(A,B,C),k10_gfacirc1(A,B,C)) & v4_msafree2(k11_gfacirc1(A,B,C),k10_gfacirc1(A,B,C)) & v4_circcomb(k11_gfacirc1(A,B,C),k10_gfacirc1(A,B,C)) & v6_circcomb(k11_gfacirc1(A,B,C),k10_gfacirc1(A,B,C)) & l3_msualg_1(k11_gfacirc1(A,B,C),k10_gfacirc1(A,B,C)) ) )).
fof(dt_k11_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_funct_1(k11_glib_000(A)) & v1_funct_2(k11_glib_000(A),k7_glib_000(A),k6_glib_000(A)) & m1_subset_1(k11_glib_000(A),k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),k6_glib_000(A)))) ) ) )).
fof(dt_k11_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => m1_glib_001(k11_glib_001(A,B),A) ) )).
fof(dt_k11_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => m1_subset_1(k11_glib_003(A),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k11_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k11_glib_004(A,B),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k11_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & m1_subset_1(D,k6_glib_000(A)) ) => ( v1_relat_1(k11_glib_005(A,B,C,D)) & v4_relat_1(k11_glib_005(A,B,C,D),k7_glib_000(A)) & v1_funct_1(k11_glib_005(A,B,C,D)) & v1_partfun1(k11_glib_005(A,B,C,D),k7_glib_000(A)) & v4_valued_0(k11_glib_005(A,B,C,D)) ) ) )).
fof(dt_k11_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,k9_graph_3(A)) & m1_subset_1(C,k9_graph_3(A)) ) => m2_finseq_2(k11_graph_3(A,B,C),u4_struct_0(A),k9_graph_3(A)) ) )).
fof(dt_k11_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => m1_grcat_1(k11_grcat_1(A),A,A) ) )).
fof(dt_k11_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) & m1_subset_1(D,B) ) => ( v15_algstr_0(k11_group_10(A,B,C,D)) & m1_group_2(k11_group_10(A,B,C,D),A) ) ) )).
fof(dt_k11_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k11_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k11_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ( v15_algstr_0(k11_group_3(A,B)) & m1_group_2(k11_group_3(A,B),A) ) ) )).
fof(dt_k11_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ~ v2_struct_0(k11_group_4(A)) & v3_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & l3_lattices(k11_group_4(A)) ) ) )).
fof(dt_k11_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,A) & l1_group_9(D,A) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v7_group_9(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(F,C,D) & v7_group_9(F,A,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k11_group_9(A,B,C,D,E,F)) & v1_funct_2(k11_group_9(A,B,C,D,E,F),u1_struct_0(B),u1_struct_0(D)) & v1_group_6(k11_group_9(A,B,C,D,E,F),B,D) & v7_group_9(k11_group_9(A,B,C,D,E,F),A,B,D) & m1_subset_1(k11_group_9(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) ) )).
fof(dt_k11_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k11_hahnban1(A,B)) & v1_funct_2(k11_hahnban1(A,B),u1_struct_0(k10_hahnban1(A)),k1_numbers) & m1_subset_1(k11_hahnban1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) ) )).
fof(dt_k11_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ( v1_funct_1(k11_heyting1(A,B)) & v1_funct_2(k11_heyting1(A,B),u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))) & m1_subset_1(k11_heyting1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))))) ) ) )).
fof(dt_k11_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_finseq_1(B,k4_ordinal1) & m1_finseq_1(C,k4_ordinal1) ) => m2_finseq_1(k11_idea_1(A,B,C),k4_ordinal1) ) )).
fof(dt_k11_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k11_ideal_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k11_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => m2_finseq_2(k11_integr15(A,B,C),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k11_integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v1_xreal_0(k11_integra1(A,B)) ) )).
fof(dt_k11_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => m1_subset_1(k11_intpro_1(A),k1_zfmisc_1(k1_intpro_1)) ) )).
fof(dt_k11_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,k6_cat_2(B,C)) & m2_cat_1(E,A,k6_cat_2(B,C)) & m2_nattra_1(F,A,k6_cat_2(B,C),D,E) ) => m2_nattra_1(k11_isocat_2(A,B,C,D,E,F),A,B,k9_isocat_2(A,B,C,D),k9_isocat_2(A,B,C,E)) ) )).
fof(dt_k11_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k11_jordan5d(A)) ) )).
fof(dt_k11_jordan6,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k11_jordan6(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k11_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m2_finseq_2(k11_lang1(A,B,C,D),B,k3_finseq_2(B)) ) )).
fof(dt_k11_laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & m1_finseq_1(C,u1_struct_0(A)) ) => ( v1_matrix_0(k11_laplace(A,B,C)) & m2_finseq_1(k11_laplace(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k11_lattad_1,axiom,( v1_funct_1(k11_lattad_1) & v1_funct_2(k11_lattad_1,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(k11_lattad_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) )).
fof(dt_k11_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k11_lattice3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k11_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) ) => m1_subset_1(k11_lexbfs(A,B,C,D),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) )).
fof(dt_k11_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k11_lopban_1(A,B)) & v13_algstr_0(k11_lopban_1(A,B)) & v2_rlvect_1(k11_lopban_1(A,B)) & v3_rlvect_1(k11_lopban_1(A,B)) & v4_rlvect_1(k11_lopban_1(A,B)) & v5_rlvect_1(k11_lopban_1(A,B)) & v6_rlvect_1(k11_lopban_1(A,B)) & v7_rlvect_1(k11_lopban_1(A,B)) & v8_rlvect_1(k11_lopban_1(A,B)) & l1_rlvect_1(k11_lopban_1(A,B)) ) ) )).
fof(dt_k11_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( v1_pre_topc(k11_lopclset(A)) & v2_pre_topc(k11_lopclset(A)) & l1_pre_topc(k11_lopclset(A)) ) ) )).
fof(dt_k11_lpspacc1,axiom,( ! [A] : m2_rfunct_3(k11_lpspacc1(A),A,k2_numbers,k3_rfunct_3(A,k2_numbers)) )).
fof(dt_k11_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k11_lpspace1(A,B,C)) & m1_subset_1(k11_lpspace1(A,B,C),k1_zfmisc_1(u1_struct_0(k10_lpspace1(A,B,C)))) ) ) )).
fof(dt_k11_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_funct_1(k11_lpspace2(A,B,C,D)) & v1_funct_2(k11_lpspace2(A,B,C,D),u1_struct_0(k10_lpspace2(A,B,C,D)),k1_numbers) & m1_subset_1(k11_lpspace2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_lpspace2(A,B,C,D)),k1_numbers))) ) ) )).
fof(dt_k11_ltlaxio1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( v1_funct_1(k11_ltlaxio1(A)) & v1_funct_2(k11_ltlaxio1(A),k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1) & m1_subset_1(k11_ltlaxio1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1))) ) ) )).
fof(dt_k11_ltlaxio3,axiom,( ! [A] : ! [B] : ( ( v2_funct_1(A) & m1_finseq_1(A,k1_hilbert1) & v2_funct_1(B) & m1_finseq_1(B,k1_hilbert1) ) => m1_subset_1(k11_ltlaxio3(A,B),k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) )).
fof(dt_k11_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ( v1_finset_1(k11_ltlaxio4(A,B)) & m1_subset_1(k11_ltlaxio4(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) ) )).
fof(dt_k11_margrel1,axiom,( ! [A] : m1_subset_1(k11_margrel1(A),k5_margrel1) )).
fof(dt_k11_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,C) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => m2_finseq_1(k11_matrix13(A,B,C,D),u1_struct_0(k6_prvect_1(A,C))) ) )).
fof(dt_k11_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,A) ) => ( v1_matrix_0(k11_matrix_0(A,B,C,D)) & v2_matrix_0(k11_matrix_0(A,B,C,D),A,B,C) & m2_finseq_1(k11_matrix_0(A,B,C,D),k3_finseq_2(A)) ) ) )).
fof(dt_k11_matrix_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k9_matrix_1(B)) ) => m1_subset_1(k11_matrix_1(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k11_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_funct_1(k11_matrix_3(A,B,C)) & v1_funct_2(k11_matrix_3(A,B,C),k9_matrix_1(A),u1_struct_0(B)) & m1_subset_1(k11_matrix_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A),u1_struct_0(B)))) ) ) )).
fof(dt_k11_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => m2_finseq_1(k11_matrixc1(A),k2_numbers) ) )).
fof(dt_k11_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => m2_finseq_2(k11_matrixj1(A,B),k4_ordinal1,k4_finseq_2(k3_finseq_1(B),k4_ordinal1)) ) )).
fof(dt_k11_matrixr1,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) & m1_finseq_1(B,k1_numbers) ) => m2_finseq_1(k11_matrixr1(A,B),k1_numbers) ) )).
fof(dt_k11_mcart_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k11_mcart_1(A)) & v1_funct_1(k11_mcart_1(A)) ) ) )).
fof(dt_k11_measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & m2_measure7(B,A) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) ) => m1_measure7(k11_measure7(A,B,C),k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),A))) ) )).
fof(dt_k11_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k11_measure8(A,B,C,D)) & v1_funct_2(k11_measure8(A,B,C,D),k4_ordinal1,k6_numbers) & m1_subset_1(k11_measure8(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k11_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & v2_memstr_0(B,A) & l1_memstr_0(B,A) ) => m1_subset_1(k11_memstr_0(A,B),k1_zfmisc_1(k8_card_3(k2_memstr_0(A,B)))) ) )).
fof(dt_k11_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_funct_1(k11_mesfun7c(A,B)) & v1_funct_2(k11_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k11_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k11_metric_1,axiom,( v1_funct_1(k11_metric_1) & v1_funct_2(k11_metric_1,k2_zfmisc_1(2,2),k1_numbers) & m1_subset_1(k11_metric_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(2,2),k1_numbers))) )).
fof(dt_k11_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,k10_midsp_1(A)) & m1_subset_1(C,k10_midsp_1(A)) ) => m1_subset_1(k11_midsp_1(A,B,C),k10_midsp_1(A)) ) )).
fof(dt_k11_midsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & v4_midsp_2(B,A) & l1_midsp_2(B,A) ) => m1_subset_1(k11_midsp_2(A,B),u1_struct_0(u1_midsp_2(A,B))) ) )).
fof(dt_k11_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(D) ) => m1_subset_1(k11_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k11_mod_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) & m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) ) => m1_subset_1(k11_mod_2(A,B),k1_enumset1(k5_numbers,1,2)) ) )).
fof(dt_k11_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => m1_subset_1(k11_modal_1(A),k6_modal_1) ) )).
fof(dt_k11_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( v1_cat_1(k11_modcat_1(A,B)) & l1_cat_1(k11_modcat_1(A,B)) ) ) )).
fof(dt_k11_modelc_1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k11_modelc_1(A,B),k4_ordinal1) ) )).
fof(dt_k11_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_2(k11_modelc_2(A)) & m2_finseq_1(k11_modelc_2(A),k4_ordinal1) ) ) )).
fof(dt_k11_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_3(k11_modelc_3(A),A) & v3_modelc_3(k11_modelc_3(A),A) & l1_modelc_3(k11_modelc_3(A),A) ) ) )).
fof(dt_k11_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k11_monoid_0(A)) & v1_funct_2(k11_monoid_0(A),k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)) & m1_subset_1(k11_monoid_0(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)))) ) ) )).
fof(dt_k11_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ( ~ v2_struct_0(k11_monoid_1(A,B)) & v22_algstr_0(k11_monoid_1(A,B)) & v4_vectsp_1(k11_monoid_1(A,B)) & v1_monoid_0(k11_monoid_1(A,B)) & l4_algstr_0(k11_monoid_1(A,B)) ) ) )).
fof(dt_k11_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => l3_msualg_1(k11_msafree(A,B),A) ) )).
fof(dt_k11_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) ) => v7_ordinal1(k11_msafree5(A,B,C,D)) ) )).
fof(dt_k11_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => m2_finseq_1(k11_msualg_1(A,B),k4_partfun1(k3_finseq_2(k10_msualg_1(A,B)),k10_msualg_1(A,B))) ) )).
fof(dt_k11_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msualg_2(C,A,B) & m1_msualg_2(D,A,B) ) => ( v3_msualg_1(k11_msualg_2(A,B,C,D),A) & m1_msualg_2(k11_msualg_2(A,B,C,D),A,B) ) ) )).
fof(dt_k11_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) ) => ( v1_funct_1(k11_msualg_4(A,B,C,D)) & v1_funct_2(k11_msualg_4(A,B,C,D),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)) & m1_subset_1(k11_msualg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)))) ) ) )).
fof(dt_k11_nat_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k11_nat_3(A,B),k4_ordinal1) ) )).
fof(dt_k11_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => m2_subset_1(k11_nat_lat(A),k4_ordinal1,k6_nat_lat) ) )).
fof(dt_k11_newton,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => m1_subset_1(k11_newton(A,B),k4_ordinal1) ) )).
fof(dt_k11_normform,axiom,( ! [A] : ( v3_lattices(k11_normform(A)) & l3_lattices(k11_normform(A)) ) )).
fof(dt_k11_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ( ~ v1_xboole_0(k11_normsp_3(A,B)) & m1_subset_1(k11_normsp_3(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_k11_numpoly1,axiom,( v1_funct_1(k11_numpoly1) & v1_funct_2(k11_numpoly1,k4_ordinal1,k1_numbers) & m1_subset_1(k11_numpoly1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k11_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => m1_subset_1(k11_openlatt(A,B,C),k9_openlatt(A)) ) )).
fof(dt_k11_oppcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( v1_funct_1(k11_oppcat_1(A,B,C)) & v1_funct_2(k11_oppcat_1(A,B,C),u4_struct_0(A),u4_struct_0(k2_oppcat_1(B))) & m1_subset_1(k11_oppcat_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(k2_oppcat_1(B))))) ) ) )).
fof(dt_k11_ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k11_ordinal2(A,B)) ) )).
fof(dt_k11_ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( v1_relat_1(k11_ordinal6(A)) & v1_funct_1(k11_ordinal6(A)) & v5_ordinal1(k11_ordinal6(A)) & v3_ordinal6(k11_ordinal6(A)) ) ) )).
fof(dt_k11_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_finseq_1(C,k4_dtconstr(k2_osafree(A,B))) ) => m2_finseq_2(k11_osafree(A,B,C),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) ) )).
fof(dt_k11_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v12_osalg_1(C,A) & m1_msualg_2(C,A,B) & v12_osalg_1(D,A) & m1_msualg_2(D,A,B) ) => ( v3_msualg_1(k11_osalg_2(A,B,C,D),A) & v12_osalg_1(k11_osalg_2(A,B,C,D),A) & m1_msualg_2(k11_osalg_2(A,B,C,D),A,B) ) ) )).
fof(dt_k11_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pcs_0(A) & ~ v2_struct_0(B) & l1_pcs_0(B) & m1_subset_1(C,u1_struct_0(k8_pcs_0(A,B))) ) => m1_subset_1(k11_pcs_0(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k11_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & m1_subset_1(E,k1_euclid(A)) ) => m2_finseq_2(k11_pdiff_1(A,B,C,D,E),k1_numbers,k1_euclid(B)) ) )).
fof(dt_k11_petri,axiom,( ! [A] : ( l1_petri(A) => ( v1_petri(k11_petri(A)) & l1_petri(k11_petri(A)) ) ) )).
fof(dt_k11_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_pnproc_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(B))) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(B))) ) => m1_subset_1(k11_pnproc_1(A,B,C,D),k1_zfmisc_1(k3_finseq_2(B))) ) )).
fof(dt_k11_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => m1_subset_1(k11_polyform(A),k4_ordinal1) ) )).
fof(dt_k11_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k11_polynom1(A,B,C,D)) & v1_funct_2(k11_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k11_polynom1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k11_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k11_polynom3(A,B,C)) & v1_funct_2(k11_polynom3(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k11_polynom3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k11_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(G) & v1_funct_2(G,A,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k11_poset_2(A,B,C,D,E,F,G,H,I)) & v1_funct_2(k11_poset_2(A,B,C,D,E,F,G,H,I),u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(k11_poset_2(A,B,C,D,E,F,G,H,I),k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(k11_poset_2(A,B,C,D,E,F,G,H,I),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) ) )).
fof(dt_k11_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => ( v1_relat_1(k11_pralg_2(A,B,C)) & v4_relat_1(k11_pralg_2(A,B,C),A) & v1_funct_1(k11_pralg_2(A,B,C)) & v1_partfun1(k11_pralg_2(A,B,C),A) & v1_funcop_1(k11_pralg_2(A,B,C)) ) ) )).
fof(dt_k11_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => ( v1_relat_1(k11_pre_poly(A,B,C)) & v4_relat_1(k11_pre_poly(A,B,C),A) & v1_funct_1(k11_pre_poly(A,B,C)) & v1_partfun1(k11_pre_poly(A,B,C),A) ) ) )).
fof(dt_k11_prob_1,axiom,( m1_subset_1(k11_prob_1,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) )).
fof(dt_k11_prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m2_prvect_1(B,A) ) => ( v1_funct_1(k11_prvect_1(A,B)) & v1_funct_2(k11_prvect_1(A,B),k4_card_3(A),k4_card_3(A)) & m1_subset_1(k11_prvect_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(A)))) ) ) )).
fof(dt_k11_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) & m1_subset_1(B,k4_finseq_1(A)) ) => ( ~ v2_struct_0(k11_prvect_2(A,B)) & v13_algstr_0(k11_prvect_2(A,B)) & v2_rlvect_1(k11_prvect_2(A,B)) & v3_rlvect_1(k11_prvect_2(A,B)) & v4_rlvect_1(k11_prvect_2(A,B)) & v5_rlvect_1(k11_prvect_2(A,B)) & v6_rlvect_1(k11_prvect_2(A,B)) & v7_rlvect_1(k11_prvect_2(A,B)) & v8_rlvect_1(k11_prvect_2(A,B)) & v3_normsp_0(k11_prvect_2(A,B)) & v4_normsp_0(k11_prvect_2(A,B)) & v2_normsp_1(k11_prvect_2(A,B)) & l1_normsp_1(k11_prvect_2(A,B)) ) ) )).
fof(dt_k11_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k11_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k11_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) ) => ( v1_msualg_1(k11_pua2mss1(A,B)) & l1_msualg_1(k11_pua2mss1(A,B)) ) ) )).
fof(dt_k11_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m2_finseq_1(k11_qc_lang1(A,B),k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) ) )).
fof(dt_k11_qc_lang2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k11_qc_lang2(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k11_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ( v1_funct_1(k11_qmax_1(A)) & v1_funct_2(k11_qmax_1(A),k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A)),k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) & m1_subset_1(k11_qmax_1(A),k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A)),k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))))) ) ) )).
fof(dt_k11_quatern2,axiom,( v1_funct_1(k11_quatern2) & v1_funct_2(k11_quatern2,k2_zfmisc_1(k1_quaterni,k1_quaterni),k1_quaterni) & m1_subset_1(k11_quatern2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni,k1_quaterni),k1_quaterni))) )).
fof(dt_k11_quaterni,axiom,( m1_subset_1(k11_quaterni,k1_quaterni) )).
fof(dt_k11_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => m2_subset_1(k11_quofield(A),k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) ) )).
fof(dt_k11_radix_1,axiom,( ! [A] : ( v1_int_1(A) => v1_int_1(k11_radix_1(A)) ) )).
fof(dt_k11_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => v7_ordinal1(k11_ranknull(A,B,C,D)) ) )).
fof(dt_k11_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) ) => m1_ratfunc1(k11_ratfunc1(A,B),A) ) )).
fof(dt_k11_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) & m1_subset_1(B,k10_ringcat1(A)) ) => m2_ringcat1(k11_ringcat1(A,B),A) ) )).
fof(dt_k11_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k11_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k11_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & v1_xreal_0(C) ) => m2_finseq_2(k11_rvsum_1(A,B,C),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k11_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => m2_finseq_1(k11_rvsum_2(A,B),k2_numbers) ) )).
fof(dt_k11_scmfsa_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_scmfsa_i) & m1_subset_1(B,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) ) => m1_subset_1(k11_scmfsa_1(A,B),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) ) )).
fof(dt_k11_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k11_scmfsa_2(A),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k11_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => m1_subset_1(k11_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k11_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => m1_subset_1(k11_scmpds_i(A),k2_scm_inst) ) )).
fof(dt_k11_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v12_scmyciel(A) ) => v7_ordinal1(k11_scmyciel(A)) ) )).
fof(dt_k11_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m2_finseq_1(k11_seq_4(A),k1_numbers) ) )).
fof(dt_k11_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k11_seqfunc(A,B,C)) & m1_subset_1(k11_seqfunc(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k11_setwiseo,axiom,( ! [A] : ( v1_funct_1(k11_setwiseo(A)) & v1_funct_2(k11_setwiseo(A),A,k5_finsub_1(A)) & m1_subset_1(k11_setwiseo(A),k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(A)))) ) )).
fof(dt_k11_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_simplex0(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_pre_topc(k11_simplex0(A,B,C)) & m1_simplex0(k11_simplex0(A,B,C),A) ) ) )).
fof(dt_k11_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k11_stacks_1(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k11_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k11_sublemma(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k11_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_finset_1(B) & m1_subset_1(B,k1_substut1(A)) ) => ( v1_finset_1(k11_substut1(A,B)) & m1_subset_1(k11_substut1(A,B),k1_zfmisc_1(k1_qc_lang1(A))) ) ) )).
fof(dt_k11_supinf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_membered(A) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => m1_subset_1(k11_supinf_2(A,B,C,D),k6_numbers) ) )).
fof(dt_k11_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k11_tdlat_1(A)) & v1_funct_2(k11_tdlat_1(A),k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)) & m1_subset_1(k11_tdlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_tdlat_1(A),k9_tdlat_1(A)),k9_tdlat_1(A)))) ) ) )).
fof(dt_k11_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k11_topalg_4(A,B,C,D)) & v1_funct_2(k11_topalg_4(A,B,C,D),u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D))))) & m1_subset_1(k11_topalg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D))))))) ) ) )).
fof(dt_k11_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ( v1_funct_1(k11_topalg_7(A,B,C)) & v1_funct_2(k11_topalg_7(A,B,C),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(k11_topalg_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) ) )).
fof(dt_k11_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ( v1_pre_topc(k11_toprealb(A)) & m1_pre_topc(k11_toprealb(A),k8_toprealb(2)) ) ) )).
fof(dt_k11_toprealc,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k11_toprealc(A,B),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k11_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ~ v1_xboole_0(k11_trees_3(A)) & v1_trees_1(k11_trees_3(A)) ) ) )).
fof(dt_k11_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k11_turing_1(A,B,C)) & v1_funct_2(k11_turing_1(A,B,C),A,k2_zfmisc_1(A,B)) & m1_subset_1(k11_turing_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(A,B)))) ) ) )).
fof(dt_k11_twoscomp,axiom,( v1_funct_1(k11_twoscomp) & v1_funct_2(k11_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k11_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k11_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_funct_1(k11_unialg_2(A)) & v1_funct_2(k11_unialg_2(A),k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)) & m1_subset_1(k11_unialg_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_unialg_2(A),k9_unialg_2(A)),k9_unialg_2(A)))) ) ) )).
fof(dt_k11_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k11_vectsp10(A,B,C)) & v1_funct_2(k11_vectsp10(A,B,C),u1_struct_0(k6_vectsp10(A,B,k9_vectsp10(A,B,C))),u1_struct_0(A)) & v13_vectsp_1(k11_vectsp10(A,B,C),k6_vectsp10(A,B,k9_vectsp10(A,B,C)),A) & v1_hahnban1(k11_vectsp10(A,B,C),A,k6_vectsp10(A,B,k9_vectsp10(A,B,C))) & m1_subset_1(k11_vectsp10(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k9_vectsp10(A,B,C))),u1_struct_0(A)))) ) ) )).
fof(dt_k11_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k11_vsdiff_1(A,B,C,D,E,F)) & v1_funct_2(k11_vsdiff_1(A,B,C,D,E,F),k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))) & m1_subset_1(k11_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))))) ) ) )).
fof(dt_k11_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k11_waybel34(A)) & v2_altcat_1(k11_waybel34(A)) & v6_altcat_1(k11_waybel34(A)) & v2_altcat_2(k11_waybel34(A),k9_waybel34(A)) & v3_altcat_2(k11_waybel34(A),k9_waybel34(A)) & m1_altcat_2(k11_waybel34(A),k9_waybel34(A)) ) ) )).
fof(dt_k11_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k11_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k11_waybel_4,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k11_waybel_4(A,B)) & v1_funct_2(k11_waybel_4(A,B),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(k11_waybel_4(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) ) )).
fof(dt_k11_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m4_yellow_6(k11_yellow_6(A),A) ) )).
fof(dt_k11_zf_lang,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & v1_zf_lang(B) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_zf_lang(k11_zf_lang(A,B)) & m2_finseq_1(k11_zf_lang(A,B),k4_ordinal1) ) ) )).
fof(dt_k11_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k11_zf_model(A)) & m2_finseq_1(k11_zf_model(A),k4_ordinal1) ) ) )).
fof(dt_k11_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k11_zmodul01(A)) & v1_funct_2(k11_zmodul01(A),k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)) & m1_subset_1(k11_zmodul01(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_zmodul01(A),k8_zmodul01(A)),k8_zmodul01(A)))) ) ) )).
fof(dt_k11_zmodul02,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ( v1_funct_1(k11_zmodul02(A,B)) & v1_funct_2(k11_zmodul02(A,B),k2_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))) & m1_subset_1(k11_zmodul02(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))),u1_struct_0(k10_zmodul02(B,k5_zmodul02(B,A)))))) ) ) )).
fof(dt_k12_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & v14_abcmiz_0(A) & l3_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k12_abcmiz_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k12_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => m1_subset_1(k12_abcmiz_1(A),u1_struct_0(A)) ) )).
fof(dt_k12_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => m2_finseq_1(k12_abcmiz_a(A,B,C),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) )).
fof(dt_k12_afinsq_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => m2_finseq_1(k12_afinsq_1(A,B),A) ) )).
fof(dt_k12_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => m1_subset_1(k12_afproj(A),k1_zfmisc_1(k2_zfmisc_1(k7_afproj(A),k8_afproj(A)))) ) )).
fof(dt_k12_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k12_algstr_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k12_ami_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) & v1_int_1(C) & v1_int_1(D) ) => ( v1_relat_1(k12_ami_3(A,B,C,D)) & v4_relat_1(k12_ami_3(A,B,C,D),u1_struct_0(k1_ami_3)) & v1_funct_1(k12_ami_3(A,B,C,D)) & v5_funct_1(k12_ami_3(A,B,C,D),k2_memstr_0(k5_card_1(2),k1_ami_3)) ) ) )).
fof(dt_k12_aofa_000,axiom,( ! [A] : ( ( v4_unialg_1(A) & v3_aofa_000(A) & l1_unialg_1(A) ) => m1_subset_1(k12_aofa_000(A),u1_struct_0(A)) ) )).
fof(dt_k12_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_relat_1(D) & m1_msafree(D,A,B) ) => m1_subset_1(k12_aofa_a00(A,B,C,D),k1_zfmisc_1(k4_autalg_1(u1_struct_0(A),D,u3_msualg_1(A,C)))) ) )).
fof(dt_k12_aofa_a01,axiom,( ~ v2_struct_0(k12_aofa_a01) & v1_orders_2(k12_aofa_a01) & v3_orders_2(k12_aofa_a01) & v4_orders_2(k12_aofa_a01) & v5_orders_2(k12_aofa_a01) & v1_lfuzzy_0(k12_aofa_a01) & l1_orders_2(k12_aofa_a01) )).
fof(dt_k12_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( v1_funct_1(k12_aofa_i00(A,B,C)) & v1_funct_2(k12_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k12_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k12_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) => m1_subset_1(k12_aofa_l00(A,B,C,D),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) )).
fof(dt_k12_armstrng,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => ( v6_armstrng(k12_armstrng(A,B),A) & m1_subset_1(k12_armstrng(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) ) )).
fof(dt_k12_arytm_3,axiom,( ~ v1_xboole_0(k12_arytm_3) & v3_ordinal1(k12_arytm_3) & m1_subset_1(k12_arytm_3,k5_arytm_3) )).
fof(dt_k12_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( v1_funct_1(k12_asympt_0(A,B)) & v1_funct_2(k12_asympt_0(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k12_asympt_0(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k12_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k12_bagorder(A)) & v1_funct_2(k12_bagorder(A),k4_ordinal1,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A))))) & m1_subset_1(k12_bagorder(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A))))))) ) ) )).
fof(dt_k12_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => m1_subset_1(k12_bilinear(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k12_borsuk_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k12_borsuk_1(A,B)) & v1_funct_2(k12_borsuk_1(A,B),u1_struct_0(A),u1_struct_0(k11_borsuk_1(A,B))) & v5_pre_topc(k12_borsuk_1(A,B),A,k11_borsuk_1(A,B)) & m1_subset_1(k12_borsuk_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k11_borsuk_1(A,B))))) ) ) )).
fof(dt_k12_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k12_borsuk_7(A)) & v1_funct_2(k12_borsuk_7(A),u1_struct_0(k17_borsuk_1),u1_struct_0(k8_toprealb(3))) & m1_subset_1(k12_borsuk_7(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k8_toprealb(3))))) ) ) )).
fof(dt_k12_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k12_bvfunc_1(A)) & v1_funct_2(k12_bvfunc_1(A),A,k5_margrel1) & m1_subset_1(k12_bvfunc_1(A),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k12_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k12_card_3(A,B)) & v1_funct_1(k12_card_3(A,B)) ) ) )).
fof(dt_k12_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => m2_cat_1(k12_cat_2(A,B),k6_cat_2(A,B),A) ) )).
fof(dt_k12_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k12_cat_4(A,B),A,k2_cat_4(A,B,k1_cat_4(A)),B) ) )).
fof(dt_k12_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k12_cat_5(A,B)) & ~ v11_struct_0(k12_cat_5(A,B)) & v1_cat_1(k12_cat_5(A,B)) & v2_cat_1(k12_cat_5(A,B)) & v3_cat_1(k12_cat_5(A,B)) & v4_cat_1(k12_cat_5(A,B)) & v5_cat_1(k12_cat_5(A,B)) & v6_cat_1(k12_cat_5(A,B)) & v1_cat_5(k12_cat_5(A,B)) & l1_cat_1(k12_cat_5(A,B)) ) ) )).
fof(dt_k12_cat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v10_cat_6(A) & l1_cat_6(A) & v10_cat_6(B) & l1_cat_6(B) & v10_cat_6(C) & l1_cat_6(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k12_cat_6(A,B,C,D,E)) & v1_funct_2(k12_cat_6(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(k12_cat_6(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) )).
fof(dt_k12_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => ( v1_funct_1(k12_catalg_1(A,B,C)) & v1_funct_2(k12_catalg_1(A,B,C),u4_struct_0(k3_catalg_1(u1_struct_0(A))),u4_struct_0(k3_catalg_1(u1_struct_0(B)))) & m1_subset_1(k12_catalg_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k3_catalg_1(u1_struct_0(A))),u4_struct_0(k3_catalg_1(u1_struct_0(B)))))) ) ) )).
fof(dt_k12_cgames_1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m1_subset_1(B,k2_cgames_1(A)) ) => m1_subset_1(k12_cgames_1(A,B),k1_zfmisc_1(k2_cgames_1(A))) ) )).
fof(dt_k12_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_clopban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v1_xboole_0(k12_clopban1(A,B,C)) & m1_subset_1(k12_clopban1(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k12_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v15_closure2(B,A) & l1_closure2(B,A) ) => ( v1_funct_1(k12_closure2(A,B)) & v1_funct_2(k12_closure2(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B)),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) & v7_closure2(k12_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) & v8_closure2(k12_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) & v9_closure2(k12_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(k12_closure2(A,B),k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A),u3_msualg_1(A,B)),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))))) ) ) )).
fof(dt_k12_coh_sp,axiom,( ! [A] : ( v1_funct_1(k12_coh_sp(A)) & m1_subset_1(k12_coh_sp(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_coh_sp(A),k5_coh_sp(A)),k5_coh_sp(A)))) ) )).
fof(dt_k12_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => m1_subset_1(k12_comput_1(A),k1_zfmisc_1(k2_comput_1(k4_ordinal1))) ) )).
fof(dt_k12_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_subset_1(B,u1_struct_0(k11_conlat_1(A))) ) => ( v3_conlat_1(k12_conlat_1(A,B),A) & ~ v4_conlat_1(k12_conlat_1(A,B),A) & v6_conlat_1(k12_conlat_1(A,B),A) & l2_conlat_1(k12_conlat_1(A,B),A) ) ) )).
fof(dt_k12_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_convex4(B,A) ) => m1_subset_1(k12_convex4(A,B),k10_convex4(A)) ) )).
fof(dt_k12_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k12_cqc_lang(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k12_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => m1_subset_1(k12_cqc_sim1(A,B),k1_zfmisc_1(k1_qc_lang1(A))) ) )).
fof(dt_k12_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k12_csspace(A,B,C)) ) )).
fof(dt_k12_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k12_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k12_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_finseq_2(B,k4_finseq_2(A,k5_margrel1))) & m1_subset_1(D,k2_finseq_1(B)) ) => m2_finseq_2(k12_descip_1(A,B,C,D),k5_margrel1,k4_finseq_2(A,k5_margrel1)) ) )).
fof(dt_k12_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & v1_diff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) & v7_ordinal1(B) ) => ( v1_funct_1(k12_diff_1(A,B)) & v1_funct_2(k12_diff_1(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k12_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k12_dist_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) & m4_dist_2(C,A,B) & v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => v1_xreal_0(k12_dist_2(A,B,C,D)) ) )).
fof(dt_k12_dtconstr,axiom,( v1_funct_1(k12_dtconstr) & v1_funct_2(k12_dtconstr,k4_dtconstr(k5_dtconstr),k4_ordinal1) & m1_subset_1(k12_dtconstr,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k5_dtconstr),k4_ordinal1))) )).
fof(dt_k12_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k12_dualsp01(A)) & v13_algstr_0(k12_dualsp01(A)) & v1_rlvect_1(k12_dualsp01(A)) & v2_rlvect_1(k12_dualsp01(A)) & v3_rlvect_1(k12_dualsp01(A)) & v4_rlvect_1(k12_dualsp01(A)) & v5_rlvect_1(k12_dualsp01(A)) & v6_rlvect_1(k12_dualsp01(A)) & v7_rlvect_1(k12_dualsp01(A)) & v8_rlvect_1(k12_dualsp01(A)) & l1_rlvect_1(k12_dualsp01(A)) ) ) )).
fof(dt_k12_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k12_ens_1(A,B),u1_struct_0(k11_ens_1(A))) ) )).
fof(dt_k12_eqrel_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_eqrel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) => ( ~ v1_xboole_0(k12_eqrel_1(A,B)) & m1_eqrel_1(k12_eqrel_1(A,B),A) ) ) )).
fof(dt_k12_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => v1_xreal_0(k12_euclid(A)) ) )).
fof(dt_k12_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) & m1_subset_1(E,u1_struct_0(k15_euclid(A))) ) => v1_xreal_0(k12_euclid_3(A,B,C,D,E)) ) )).
fof(dt_k12_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k12_facirc_1(A,B,C),u1_struct_0(k8_facirc_1(A,B,C,k1_facirc_1)),k3_msafree2(k8_facirc_1(A,B,C,k1_facirc_1))) )).
fof(dt_k12_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k12_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k12_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,C) & v4_prob_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(C))) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,E))) & m1_subset_1(G,C) ) => v1_xreal_0(k12_finance1(A,B,C,D,E,F,G)) ) )).
fof(dt_k12_finseq_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m2_finseq_1(k12_finseq_1(A,B),A) ) )).
fof(dt_k12_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k12_fintopo2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k12_fomodel0,axiom,( ! [A] : ! [B] : m1_subset_1(k12_fomodel0(A,B),k1_zfmisc_1(A)) )).
fof(dt_k12_fomodel1,axiom,( ! [A] : ! [B] : ( ( l4_struct_0(A) & m1_subset_1(B,k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A)))) ) => v1_int_1(k12_fomodel1(A,B)) ) )).
fof(dt_k12_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_relat_1(E) ) => m1_subset_1(k12_fomodel3(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A,C),k8_eqrel_1(B,D)))) ) )).
fof(dt_k12_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k12_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k12_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => ( v2_freealg(k12_freealg(A,B),k7_freealg(A,B)) & m1_freealg(k12_freealg(A,B),k7_freealg(A,B)) ) ) )).
fof(dt_k12_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k12_ftacell1(A,B,C,D,E),k3_msafree2(k7_ftacell1(A,B,C,D,E))) )).
fof(dt_k12_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => ( v1_funct_1(k12_funcop_1(A,B,C,D)) & v1_funct_2(k12_funcop_1(A,B,C,D),A,k2_zfmisc_1(C,B)) & m1_subset_1(k12_funcop_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(C,B)))) ) ) )).
fof(dt_k12_funcsdom,axiom,( ! [A] : ( v1_funcsdom(k12_funcsdom(A)) & l1_funcsdom(k12_funcsdom(A)) ) )).
fof(dt_k12_funct_3,axiom,( ! [A] : ( v1_funct_1(k12_funct_3(A)) & v1_funct_2(k12_funct_3(A),A,k2_zfmisc_1(A,A)) & m1_subset_1(k12_funct_3(A),k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(A,A)))) ) )).
fof(dt_k12_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k12_funct_5(A,B,C,D)) & v1_funct_2(k12_funct_5(A,B,C,D),B,k9_funct_2(A,C)) & m1_subset_1(k12_funct_5(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(A,C)))) ) ) )).
fof(dt_k12_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v9_functor0(k12_functor0(A),A,A) & v15_functor0(k12_functor0(A),A,A) & m2_functor0(k12_functor0(A),A,A) ) ) )).
fof(dt_k12_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,k4_finseq_2(A,u1_struct_0(B))) ) => m2_finseq_2(k12_fvsum_1(A,B,C,D),u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) ) )).
fof(dt_k12_gaussint,axiom,( v1_funct_1(k12_gaussint) & v1_funct_2(k12_gaussint,k2_zfmisc_1(u1_struct_0(k11_gaussint),k8_gaussint),k8_gaussint) & m1_subset_1(k12_gaussint,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint),k8_gaussint),k8_gaussint))) )).
fof(dt_k12_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) & m1_subset_1(I,k4_ordinal1) ) => m1_genealg1(k12_genealg1(A,B,C,D,E,F,G,H,I),A) ) )).
fof(dt_k12_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k12_gfacirc1(A,B,C),u1_struct_0(k10_gfacirc1(A,B,C)),k3_msafree2(k10_gfacirc1(A,B,C))) )).
fof(dt_k12_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_relat_1(k12_glib_000(A,B,C,D)) & v4_relat_1(k12_glib_000(A,B,C,D),k4_ordinal1) & v1_funct_1(k12_glib_000(A,B,C,D)) & v1_finset_1(k12_glib_000(A,B,C,D)) & v1_glib_000(k12_glib_000(A,B,C,D)) ) ) )).
fof(dt_k12_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => m2_glib_001(k12_glib_001(A,B),A) ) )).
fof(dt_k12_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => ( v1_relat_1(k12_glib_003(A,B,C)) & v4_relat_1(k12_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k12_glib_003(A,B,C)) & v1_finset_1(k12_glib_003(A,B,C)) & v1_glib_000(k12_glib_003(A,B,C)) & v2_glib_003(k12_glib_003(A,B,C)) ) ) )).
fof(dt_k12_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) => m1_subset_1(k12_glib_004(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k12_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => m3_glib_005(k12_glib_005(A,B,C),A) ) )).
fof(dt_k12_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k12_graph_3(A,B,C)) & m1_finseq_2(k12_graph_3(A,B,C),u4_struct_0(A)) ) ) )).
fof(dt_k12_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k3_finseq_2(k1_numbers)) & v7_ordinal1(B) ) => m1_subset_1(k12_graphsp(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k12_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => m1_subset_1(k12_group_10(A,B,C),k1_zfmisc_1(B)) ) )).
fof(dt_k12_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k12_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k12_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ( v1_funct_1(k12_group_9(A,B,C)) & v1_funct_2(k12_group_9(A,B,C),u1_struct_0(B),u1_struct_0(k10_group_9(A,B,C))) & v1_group_6(k12_group_9(A,B,C),B,k10_group_9(A,B,C)) & v7_group_9(k12_group_9(A,B,C),A,B,k10_group_9(A,B,C)) & m1_subset_1(k12_group_9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k10_group_9(A,B,C))))) ) ) )).
fof(dt_k12_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_finseq_1(B,k4_ordinal1) & m1_finseq_1(C,k4_ordinal1) ) => m2_finseq_1(k12_idea_1(A,B,C),k4_ordinal1) ) )).
fof(dt_k12_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k12_ideal_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k12_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,k4_ordinal1) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(C)))) ) => m2_finseq_2(k12_integr15(A,B,C,D),k1_numbers,k1_euclid(C)) ) )).
fof(dt_k12_integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v1_xreal_0(k12_integra1(A,B)) ) )).
fof(dt_k12_intpro_1,axiom,( m1_subset_1(k12_intpro_1,k1_zfmisc_1(k1_intpro_1)) )).
fof(dt_k12_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,k6_cat_2(B,C)) & m2_cat_1(E,A,k6_cat_2(B,C)) & m2_nattra_1(F,A,k6_cat_2(B,C),D,E) ) => m2_nattra_1(k12_isocat_2(A,B,C,D,E,F),A,C,k10_isocat_2(A,B,C,D),k10_isocat_2(A,B,C,E)) ) )).
fof(dt_k12_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k12_jordan5d(A)) ) )).
fof(dt_k12_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k12_lang1(A,B,C)) & v1_funct_2(k12_lang1(A,B,C),k3_finseq_2(A),k3_finseq_2(B)) & m1_subset_1(k12_lang1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(B)))) ) ) )).
fof(dt_k12_laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & m1_finseq_1(C,u1_struct_0(A)) ) => ( v1_matrix_0(k12_laplace(A,B,C)) & m2_finseq_1(k12_laplace(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k12_lattad_1,axiom,( v1_funct_1(k12_lattad_1) & v1_funct_2(k12_lattad_1,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(k12_lattad_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) )).
fof(dt_k12_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k12_lattice3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k12_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ( v1_funct_1(k12_lattice5(A,B,C,D,E)) & v1_funct_2(k12_lattice5(A,B,C,D,E),k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)) & m1_subset_1(k12_lattice5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)))) ) ) )).
fof(dt_k12_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) => m1_subset_1(k12_lexbfs(A,B),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) )).
fof(dt_k12_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v1_funct_1(k12_lmod_7(A,B,C)) & v1_funct_2(k12_lmod_7(A,B,C),k2_zfmisc_1(k7_lmod_7(A,B,C),k7_lmod_7(A,B,C)),k7_lmod_7(A,B,C)) & m1_subset_1(k12_lmod_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_lmod_7(A,B,C),k7_lmod_7(A,B,C)),k7_lmod_7(A,B,C)))) ) ) )).
fof(dt_k12_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k12_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k12_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k12_lopclset(A)) & v10_lattices(k12_lopclset(A)) & l3_lattices(k12_lopclset(A)) ) ) )).
fof(dt_k12_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k12_lpspacc1(A)) & l1_clvect_1(k12_lpspacc1(A)) ) ) )).
fof(dt_k12_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k12_lpspace1(A,B,C)) & l1_rlvect_1(k12_lpspace1(A,B,C)) ) ) )).
fof(dt_k12_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v2_struct_0(k12_lpspace2(A,B,C,D)) & l1_normsp_1(k12_lpspace2(A,B,C,D)) ) ) )).
fof(dt_k12_ltlaxio1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_hilbert1,k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( v1_funct_1(k12_ltlaxio1(A)) & v1_funct_2(k12_ltlaxio1(A),k1_hilbert1,k5_margrel1) & m1_subset_1(k12_ltlaxio1(A),k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) ) )).
fof(dt_k12_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => m1_subset_1(k12_ltlaxio3(A),k1_hilbert1) ) )).
fof(dt_k12_ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_ltlaxio3(A) & v3_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) & m4_ltlaxio4(C,A,B) & v7_ordinal1(D) ) => m1_trees_1(k12_ltlaxio4(A,B,C,D),k9_xtuple_0(B)) ) )).
fof(dt_k12_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => ( v1_relat_1(k12_margrel1(A)) & v1_funct_1(k12_margrel1(A)) & v1_margrel1(k12_margrel1(A)) ) ) )).
fof(dt_k12_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v1_relat_1(k12_matrix_0(A,B,C,D)) & v1_funct_1(k12_matrix_0(A,B,C,D)) & v1_finseq_1(k12_matrix_0(A,B,C,D)) & v1_matrix_0(k12_matrix_0(A,B,C,D)) ) )).
fof(dt_k12_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => m1_subset_1(k12_matrix_3(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k12_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => m1_subset_1(k12_matrixc1(A),k2_numbers) ) )).
fof(dt_k12_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrix_0(k12_matrixj1(A,B,C)) & m2_finseq_1(k12_matrixj1(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k12_matrixr1,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) & m1_finseq_1(B,k1_numbers) ) => m2_finseq_1(k12_matrixr1(A,B),k1_numbers) ) )).
fof(dt_k12_mcart_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k12_mcart_1(A)) & v1_funct_1(k12_mcart_1(A)) ) ) )).
fof(dt_k12_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_funct_1(k12_mesfun7c(A,B)) & v1_funct_2(k12_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k12_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k12_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( v1_funct_1(k12_midsp_1(A)) & v1_funct_2(k12_midsp_1(A),k2_zfmisc_1(k10_midsp_1(A),k10_midsp_1(A)),k10_midsp_1(A)) & m1_subset_1(k12_midsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A),k10_midsp_1(A)),k10_midsp_1(A)))) ) ) )).
fof(dt_k12_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(D) ) => m1_subset_1(k12_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k12_mod_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) & m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) ) => m1_subset_1(k12_mod_2(A,B),k1_enumset1(k5_numbers,1,2)) ) )).
fof(dt_k12_modal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_modal_1) & m1_subset_1(B,k6_modal_1) ) => m1_subset_1(k12_modal_1(A,B),k6_modal_1) ) )).
fof(dt_k12_modelc_1,axiom,( ~ v1_xboole_0(k12_modelc_1) )).
fof(dt_k12_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_2(k12_modelc_2(A)) & m2_finseq_1(k12_modelc_2(A),k4_ordinal1) ) ) )).
fof(dt_k12_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & l1_modelc_3(B,A) ) => ( v1_modelc_3(k12_modelc_3(A,B),A) & l1_modelc_3(k12_modelc_3(A,B),A) ) ) )).
fof(dt_k12_monoid_0,axiom,( ! [A] : ( v15_algstr_0(k12_monoid_0(A)) & v1_monoid_0(k12_monoid_0(A)) & l3_algstr_0(k12_monoid_0(A)) ) )).
fof(dt_k12_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v16_monoid_0(A) & v17_monoid_0(A) & l3_algstr_0(A) ) => ( ~ v2_struct_0(k12_monoid_1(A,B)) & v22_algstr_0(k12_monoid_1(A,B)) & v4_vectsp_1(k12_monoid_1(A,B)) & v3_group_1(k12_monoid_1(A,B)) & v5_group_1(k12_monoid_1(A,B)) & v1_monoid_0(k12_monoid_1(A,B)) & v16_monoid_0(k12_monoid_1(A,B)) & v17_monoid_0(k12_monoid_1(A,B)) & l4_algstr_0(k12_monoid_1(A,B)) ) ) )).
fof(dt_k12_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k12_msafree(A,B,C),k1_zfmisc_1(k1_funct_1(k8_msafree(A,B),C))) ) )).
fof(dt_k12_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k12_msualg_1(A,B)) & v1_unialg_1(k12_msualg_1(A,B)) & v2_unialg_1(k12_msualg_1(A,B)) & v3_unialg_1(k12_msualg_1(A,B)) & v4_unialg_1(k12_msualg_1(A,B)) & l1_unialg_1(k12_msualg_1(A,B)) ) ) )).
fof(dt_k12_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => ( v3_msualg_1(k12_msualg_2(A,B,C),A) & m1_msualg_2(k12_msualg_2(A,B,C),A,B) ) ) )).
fof(dt_k12_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => m2_pboole(k12_msualg_4(A,B,C),u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k4_msualg_4(A,B,C))),k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,B,C))) ) )).
fof(dt_k12_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k12_nat_3(A)) & v4_relat_1(k12_nat_3(A),k8_newton) & v1_funct_1(k12_nat_3(A)) & v1_partfun1(k12_nat_3(A),k8_newton) ) ) )).
fof(dt_k12_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => m2_subset_1(k12_normsp_3(A,B),k1_zfmisc_1(u1_struct_0(A)),k11_normsp_3(A,B)) ) )).
fof(dt_k12_numpoly1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k12_numpoly1(A,B)) & v1_funct_2(k12_numpoly1(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k12_numpoly1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k12_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => m1_subset_1(k12_openlatt(A,B,C),k9_openlatt(A)) ) )).
fof(dt_k12_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => m1_oppcat_1(k12_oppcat_1(A),A,k2_oppcat_1(A)) ) )).
fof(dt_k12_ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k12_ordinal2(A,B)) ) )).
fof(dt_k12_ordinal6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k12_ordinal6(A,B)) ) )).
fof(dt_k12_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & m1_finseq_1(D,k4_dtconstr(k2_osafree(A,B))) ) => m1_dtconstr(k12_osafree(A,B,C,D),u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) ) )).
fof(dt_k12_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & m1_subset_1(F,u1_struct_0(k4_real_ns1(A))) ) => m1_subset_1(k12_pdiff_1(A,B,C,D,E,F),u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1)))) ) )).
fof(dt_k12_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k12_petri(A,B),k1_zfmisc_1(u1_struct_0(k11_petri(A)))) ) )).
fof(dt_k12_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ( ~ v1_xboole_0(k12_pnproc_1(A,B)) & m1_subset_1(k12_pnproc_1(A,B),k1_zfmisc_1(k3_finseq_2(B))) ) ) )).
fof(dt_k12_polyform,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) & v7_ordinal1(C) ) => m1_subset_1(k12_polyform(A,B,C),k5_polyform(A,B)) ) )).
fof(dt_k12_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & l6_algstr_0(k12_polynom1(A,B)) ) ) )).
fof(dt_k12_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k12_polynom3(A,B,C)) & v1_funct_2(k12_polynom3(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k12_polynom3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k12_pralg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) ) => ( v1_relat_1(k12_pralg_1(A,B)) & v4_relat_1(k12_pralg_1(A,B),A) & v1_funct_1(k12_pralg_1(A,B)) & v1_partfun1(k12_pralg_1(A,B),A) ) ) )).
fof(dt_k12_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) & m1_subset_1(D,u4_struct_0(B)) ) => ( v1_relat_1(k12_pralg_2(A,B,C,D)) & v4_relat_1(k12_pralg_2(A,B,C,D),A) & v1_funct_1(k12_pralg_2(A,B,C,D)) & v1_partfun1(k12_pralg_2(A,B,C,D),A) & v1_funcop_1(k12_pralg_2(A,B,C,D)) ) ) )).
fof(dt_k12_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) ) => ( v1_relat_1(k12_pre_poly(A,B,C)) & v4_relat_1(k12_pre_poly(A,B,C),A) & v1_funct_1(k12_pre_poly(A,B,C)) & v1_partfun1(k12_pre_poly(A,B,C),A) ) ) )).
fof(dt_k12_prob_1,axiom,( ~ v1_xboole_0(k12_prob_1) & v1_prob_1(k12_prob_1,k1_numbers) & v4_prob_1(k12_prob_1,k1_numbers) & m1_subset_1(k12_prob_1,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) )).
fof(dt_k12_prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m1_prvect_1(B,A) ) => ( v1_funct_1(k12_prvect_1(A,B)) & v1_funct_2(k12_prvect_1(A,B),k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)) & m1_subset_1(k12_prvect_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)))) ) ) )).
fof(dt_k12_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) & m1_subset_1(B,k4_card_3(k4_prvect_2(A))) ) => m2_finseq_2(k12_prvect_2(A,B),k1_numbers,k1_euclid(k3_finseq_1(A))) ) )).
fof(dt_k12_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k12_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k12_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) & m1_subset_1(C,u4_struct_0(k11_pua2mss1(A,B))) ) => m2_subset_1(k12_pua2mss1(A,B,C),k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) ) )).
fof(dt_k12_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k12_qc_lang1(A),k9_qc_lang1(A)) ) )).
fof(dt_k12_qc_lang2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k12_qc_lang2(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k12_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => m2_subset_1(k12_quofield(A),k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) ) )).
fof(dt_k12_radix_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v7_ordinal1(B) ) => v1_int_1(k12_radix_1(A,B)) ) )).
fof(dt_k12_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) ) => v1_int_1(k12_ratfunc1(A,B)) ) )).
fof(dt_k12_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & v1_xreal_0(D) ) => m2_rfunct_3(k12_rfunct_3(A,B,C,D),A,k1_numbers,k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k12_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) & m1_subset_1(B,k10_ringcat1(A)) ) => m2_ringcat1(k12_ringcat1(A,B),A) ) )).
fof(dt_k12_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k11_rlvect_2(A)) ) => m1_rlvect_2(k12_rlvect_2(A,B),A) ) )).
fof(dt_k12_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k12_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k12_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m2_finseq_1(k12_rvsum_1(A),k1_numbers) ) )).
fof(dt_k12_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => m2_finseq_2(k12_rvsum_2(A,B,C),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k12_scm_comp,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) ) => v1_int_1(k12_scm_comp(A,B)) ) )).
fof(dt_k12_scmfsa_1,axiom,( v1_funct_1(k12_scmfsa_1) & v1_funct_2(k12_scmfsa_1,k2_scmfsa_i,k1_funct_2(k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)))) & m1_subset_1(k12_scmfsa_1,k1_zfmisc_1(k2_zfmisc_1(k2_scmfsa_i,k1_funct_2(k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)))))) )).
fof(dt_k12_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k12_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k12_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => m1_subset_1(k12_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k12_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => v1_int_1(k12_scmpds_i(A)) ) )).
fof(dt_k12_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => v4_scmyciel(k12_scmyciel(A)) ) )).
fof(dt_k12_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => m1_finseq_2(k12_seq_4(A),k2_numbers) ) )).
fof(dt_k12_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_simplex0(B,A) & v1_relat_1(C) & v1_funct_1(C) & v7_ordinal1(D) ) => m1_simplex0(k12_simplex0(A,B,C,D),A) ) )).
fof(dt_k12_sin_cos,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v7_ordinal1(C) ) => ( v1_funct_1(k12_sin_cos(A,B,C)) & v1_funct_2(k12_sin_cos(A,B,C),k4_ordinal1,k2_numbers) & m1_subset_1(k12_sin_cos(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k12_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => m1_subset_1(k12_stacks_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)))) ) )).
fof(dt_k12_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,B) ) => ( v1_funct_1(k12_sublemma(A,B,C,D)) & m1_subset_1(k12_sublemma(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) ) )).
fof(dt_k12_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & v1_finset_1(C) & m1_subset_1(C,k1_substut1(A)) ) => ( ~ v1_xboole_0(k12_substut1(A,B,C)) & m1_subset_1(k12_substut1(A,B,C),k1_zfmisc_1(k1_qc_lang1(A))) ) ) )).
fof(dt_k12_supinf_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => m1_subset_1(k12_supinf_2(A,B),k6_numbers) ) )).
fof(dt_k12_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k12_tdlat_1(A)) & v10_lattices(k12_tdlat_1(A)) & v17_lattices(k12_tdlat_1(A)) & l3_lattices(k12_tdlat_1(A)) ) ) )).
fof(dt_k12_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) & m1_borsuk_2(D,A,B,B) ) => ( v1_funct_1(k12_topalg_7(A,B,C,D)) & v1_funct_2(k12_topalg_7(A,B,C,D),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(k12_topalg_7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) ) )).
fof(dt_k12_toprealb,axiom,( v1_funct_1(k12_toprealb) & v1_funct_2(k12_toprealb,u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2))) & m1_subset_1(k12_toprealb,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2))))) )).
fof(dt_k12_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k12_toprealc(A,B,C),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k12_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( ~ v1_xboole_0(k12_trees_3(A)) & v1_trees_1(k12_trees_3(A)) ) ) )).
fof(dt_k12_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => m1_subset_1(k12_trees_9(A,B),k1_zfmisc_1(k9_trees_9(A))) ) )).
fof(dt_k12_turing_1,axiom,( v1_funct_1(k12_turing_1) & v1_funct_2(k12_turing_1,k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(5),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(5),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(k12_turing_1,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(5),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(5),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) )).
fof(dt_k12_twoscomp,axiom,( v1_funct_1(k12_twoscomp) & v1_funct_2(k12_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k12_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k12_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ( ~ v2_struct_0(k12_unialg_2(A)) & v3_lattices(k12_unialg_2(A)) & v10_lattices(k12_unialg_2(A)) & l3_lattices(k12_unialg_2(A)) ) ) )).
fof(dt_k12_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k12_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k12_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m4_yellow_6(B,A) ) => ( v1_pre_topc(k12_yellow_6(A,B)) & l1_pre_topc(k12_yellow_6(A,B)) ) ) )).
fof(dt_k12_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zf_lang) & v1_zf_lang(B) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_zf_lang(k12_zf_lang(A,B)) & m2_finseq_1(k12_zf_lang(A,B),k4_ordinal1) ) ) )).
fof(dt_k12_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_funct_1(k12_zmodul01(A)) & v1_funct_2(k12_zmodul01(A),k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k12_zmodul01(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k12_zmodul02,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ( ~ v2_struct_0(k12_zmodul02(A,B)) & v7_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) & l1_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) ) ) )).
fof(dt_k13_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => m1_subset_1(k13_abcmiz_1(A),u1_struct_0(A)) ) )).
fof(dt_k13_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v2_abcmiz_1(B,A) & v4_abcmiz_a(B,A) & m2_abcmiz_1(B,A,k12_abcmiz_1(A)) ) => ( v9_abcmiz_1(k13_abcmiz_a(A,B),A) & m1_abcmiz_1(k13_abcmiz_a(A,B),A,k12_abcmiz_1(A)) ) ) )).
fof(dt_k13_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v1_incsp_1(k13_afproj(A)) & l1_incsp_1(k13_afproj(A)) ) ) )).
fof(dt_k13_algstr_4,axiom,( ! [A] : ( v1_funct_1(k13_algstr_4(A)) & v1_funct_2(k13_algstr_4(A),k2_zfmisc_1(k12_algstr_4(A),k12_algstr_4(A)),k12_algstr_4(A)) & m1_subset_1(k13_algstr_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_algstr_4(A),k12_algstr_4(A)),k12_algstr_4(A)))) ) )).
fof(dt_k13_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_unialg_1(A) & v4_aofa_000(A) & l1_unialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k13_aofa_000(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k13_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_relat_1(D) & m1_msafree(D,A,B) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),D,E)) & m1_subset_1(G,k1_funct_1(u3_msualg_1(A,C),E)) ) => m1_subset_1(k13_aofa_a00(A,B,C,D,E,F,G),k1_zfmisc_1(k12_aofa_a00(A,B,C,D))) ) )).
fof(dt_k13_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & v5_aofa_a01(E,A,B,C,D) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,k1_funct_1(u3_msualg_1(A,C),F)) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),F)) ) => ( v15_aofa_000(k13_aofa_a01(A,B,C,D,E,F,G,H),E) & m1_subset_1(k13_aofa_a01(A,B,C,D,E,F,G,H),u1_struct_0(E)) ) ) )).
fof(dt_k13_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( v1_funct_1(k13_aofa_i00(A,B,C)) & v1_funct_2(k13_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k13_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k13_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) & m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) => m1_subset_1(k13_aofa_l00(A,B,C,D,E),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) )).
fof(dt_k13_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => m1_subset_1(k13_armstrng(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k13_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_funct_2(B,A,k1_numbers) & m1_funct_2(C,A,k1_numbers) ) => m1_funct_2(k13_asympt_0(A,B,C),A,k1_numbers) ) )).
fof(dt_k13_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( v1_partfun1(k13_bagorder(A),k5_finsub_1(u1_struct_0(A))) & v1_relat_2(k13_bagorder(A)) & v4_relat_2(k13_bagorder(A)) & v8_relat_2(k13_bagorder(A)) & m1_subset_1(k13_bagorder(A),k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A))))) ) ) )).
fof(dt_k13_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( ~ v2_struct_0(k13_bilinear(A,B,C,D)) & v7_vectsp_1(k13_bilinear(A,B,C,D),A) & m1_vectsp_4(k13_bilinear(A,B,C,D),A,B) ) ) )).
fof(dt_k13_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) ) => ( ~ v1_xboole_0(k13_borsuk_1(A,B,C)) & m1_eqrel_1(k13_borsuk_1(A,B,C),u1_struct_0(A)) ) ) )).
fof(dt_k13_borsuk_7,axiom,( ! [A] : ( v1_int_1(A) => m1_borsuk_2(k13_borsuk_7(A),k8_toprealb(3),k7_borsuk_7,k7_borsuk_7) ) )).
fof(dt_k13_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k13_bvfunc_1(A,B)) & v1_funct_2(k13_bvfunc_1(A,B),A,k5_margrel1) & m1_subset_1(k13_bvfunc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k13_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) & v1_partfun1(C,A) ) => m1_subset_1(k13_card_3(A,B,C),k4_card_3(B)) ) )).
fof(dt_k13_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => m2_cat_1(k13_cat_2(A,B),k6_cat_2(A,B),B) ) )).
fof(dt_k13_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k13_cat_4(A,B),A,B,k2_cat_4(A,B,k1_cat_4(A))) ) )).
fof(dt_k13_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k11_cat_5(A,B))) ) => m1_subset_1(k13_cat_5(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k13_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ( v1_funct_1(k13_cat_6(A)) & v1_funct_2(k13_cat_6(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k13_cat_6(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k13_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v3_msualg_1(k13_catalg_1(A),k3_catalg_1(u1_struct_0(A))) & l3_msualg_1(k13_catalg_1(A),k3_catalg_1(u1_struct_0(A))) ) ) )).
fof(dt_k13_classes2,axiom,( ~ v1_xboole_0(k13_classes2) & v1_classes2(k13_classes2) )).
fof(dt_k13_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( v1_funct_1(k13_clopban1(A,B)) & v1_funct_2(k13_clopban1(A,B),k8_clopban1(A,B),k1_numbers) & m1_subset_1(k13_clopban1(A,B),k1_zfmisc_1(k2_zfmisc_1(k8_clopban1(A,B),k1_numbers))) ) ) )).
fof(dt_k13_coh_sp,axiom,( ! [A] : ( ~ v2_struct_0(k13_coh_sp(A)) & ~ v11_struct_0(k13_coh_sp(A)) & v1_cat_1(k13_coh_sp(A)) & l1_cat_1(k13_coh_sp(A)) ) )).
fof(dt_k13_comput_1,axiom,( v1_funct_1(k13_comput_1) & v1_funct_2(k13_comput_1,k4_ordinal1,k9_setfam_1(k2_comput_1(k4_ordinal1))) & m1_subset_1(k13_comput_1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_comput_1(k4_ordinal1))))) )).
fof(dt_k13_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( v1_funct_1(k13_convex4(A)) & v1_funct_2(k13_convex4(A),k2_zfmisc_1(k10_convex4(A),k10_convex4(A)),k10_convex4(A)) & m1_subset_1(k13_convex4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_convex4(A),k10_convex4(A)),k10_convex4(A)))) ) ) )).
fof(dt_k13_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => m1_subset_1(k13_cqc_lang(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k13_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => m1_subset_1(k13_cqc_sim1(A,B),k1_qc_lang1(A)) ) )).
fof(dt_k13_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k13_csspace(A,B,C)) ) )).
fof(dt_k13_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k13_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k13_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_finseq_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_finseq_2(A,B)))) & v7_ordinal1(D) ) => m2_finseq_2(k13_descip_1(A,B,C,D),B,k4_finseq_2(A,B)) ) )).
fof(dt_k13_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(I,A) ) => m1_subset_1(k13_domain_1(A,B,C,D,E,F,G,H,I),k1_zfmisc_1(A)) ) )).
fof(dt_k13_dtconstr,axiom,( ! [A] : ( m1_subset_1(A,k4_dtconstr(k5_dtconstr)) => m1_dtconstr(k13_dtconstr(A),u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) ) )).
fof(dt_k13_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(k12_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k13_dualsp01(A,B,C),k1_numbers) ) )).
fof(dt_k13_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k13_e_siec(A)) ) )).
fof(dt_k13_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k11_ens_1(A))) ) => m1_subset_1(k13_ens_1(A,B),A) ) )).
fof(dt_k13_eqrel_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_eqrel_1(B,A) ) => ( v1_funct_1(k13_eqrel_1(A,B)) & v1_funct_2(k13_eqrel_1(A,B),A,B) & m1_subset_1(k13_eqrel_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k13_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k13_euclid(A)) & v1_funct_2(k13_euclid(A),k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers) & m1_subset_1(k13_euclid(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers))) ) ) )).
fof(dt_k13_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k13_facirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & v4_msafree2(k13_facirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & v4_circcomb(k13_facirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & v6_circcomb(k13_facirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & l3_msualg_1(k13_facirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) ) )).
fof(dt_k13_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k13_ff_siec(A)) ) )).
fof(dt_k13_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k13_fintopo2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k13_fomodel1,axiom,( ! [A] : ! [B] : ( ( l4_struct_0(A) & m1_subset_1(B,k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A)))) ) => m1_subset_1(k13_fomodel1(A,B),k4_numbers) ) )).
fof(dt_k13_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m1_subset_1(k13_fomodel2(A,B,C,D),k5_margrel1) ) )).
fof(dt_k13_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => ( v1_partfun1(k13_fomodel3(A,B,C),k4_finseq_2(C,A)) & v3_relat_2(k13_fomodel3(A,B,C)) & v8_relat_2(k13_fomodel3(A,B,C)) & m1_subset_1(k13_fomodel3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)))) ) ) )).
fof(dt_k13_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k13_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k13_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_freealg(B) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k13_freealg(A,B,C)) & v1_funct_1(k13_freealg(A,B,C)) & v2_margrel1(k13_freealg(A,B,C)) & v3_margrel1(k13_freealg(A,B,C),k4_dtconstr(k3_freealg(A,B))) & m1_subset_1(k13_freealg(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))))) ) ) )).
fof(dt_k13_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => ( v2_fsm_1(k13_fsm_1(A,B,C,D),A,B) & l2_fsm_1(k13_fsm_1(A,B,C,D),A,B) ) ) )).
fof(dt_k13_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v2_struct_0(k13_ftacell1(A,B,C,D,E)) & ~ v11_struct_0(k13_ftacell1(A,B,C,D,E)) & v1_msualg_1(k13_ftacell1(A,B,C,D,E)) & v1_circcomb(k13_ftacell1(A,B,C,D,E)) & v2_circcomb(k13_ftacell1(A,B,C,D,E)) & v3_circcomb(k13_ftacell1(A,B,C,D,E)) & l1_msualg_1(k13_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k13_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(k13_funcop_1(A,B,C)) & v1_funct_1(k13_funcop_1(A,B,C)) ) )).
fof(dt_k13_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k13_funct_3(A,B)) & v1_funct_1(k13_funct_3(A,B)) ) ) )).
fof(dt_k13_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => ( v1_funct_1(k13_funct_5(A,B,C,D)) & v1_funct_2(k13_funct_5(A,B,C,D),k2_zfmisc_1(A,B),C) & m1_subset_1(k13_funct_5(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) ) )).
fof(dt_k13_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ( v1_funct_1(k13_funct_7(A,B,C,D)) & v1_funct_2(k13_funct_7(A,B,C,D),k4_ordinal1,A) & m1_subset_1(k13_funct_7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k13_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) & v8_functor0(D,A,B) & l2_functor0(D,A,B) & l2_functor0(E,B,C) ) => ( v9_functor0(k13_functor0(A,B,C,D,E),A,C) & l2_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(dt_k13_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_struct_0(A)) ) => m1_subset_1(k13_fvsum_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k13_gaussint,axiom,( ~ v2_struct_0(k13_gaussint) & v7_vectsp_1(k13_gaussint,k11_gaussint) & l1_vectsp_1(k13_gaussint,k11_gaussint) )).
fof(dt_k13_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k13_gfacirc1(A,B,C)) & ~ v11_struct_0(k13_gfacirc1(A,B,C)) & v1_msualg_1(k13_gfacirc1(A,B,C)) & v1_circcomb(k13_gfacirc1(A,B,C)) & v2_circcomb(k13_gfacirc1(A,B,C)) & v3_circcomb(k13_gfacirc1(A,B,C)) & l1_msualg_1(k13_gfacirc1(A,B,C)) ) )).
fof(dt_k13_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k13_glib_000(A,B,C)) & v4_relat_1(k13_glib_000(A,B,C),k4_ordinal1) & v1_funct_1(k13_glib_000(A,B,C)) & v1_finset_1(k13_glib_000(A,B,C)) ) ) )).
fof(dt_k13_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ( v1_finset_1(k13_glib_001(A,B)) & m1_subset_1(k13_glib_001(A,B),k1_zfmisc_1(k6_glib_000(A))) ) ) )).
fof(dt_k13_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => ( v1_relat_1(k13_glib_003(A,B,C)) & v4_relat_1(k13_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k13_glib_003(A,B,C)) & v1_finset_1(k13_glib_003(A,B,C)) & v1_glib_000(k13_glib_003(A,B,C)) & v3_glib_003(k13_glib_003(A,B,C)) ) ) )).
fof(dt_k13_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => m1_subset_1(k13_glib_004(A),k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k13_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => ( v1_relat_1(k13_glib_005(A,B,C)) & v4_relat_1(k13_glib_005(A,B,C),k7_glib_000(A)) & v1_funct_1(k13_glib_005(A,B,C)) & v1_partfun1(k13_glib_005(A,B,C),k7_glib_000(A)) & v4_valued_0(k13_glib_005(A,B,C)) ) ) )).
fof(dt_k13_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k13_graph_3(A,B,C)) & m1_subset_1(k13_graph_3(A,B,C),k1_zfmisc_1(k9_graph_3(A))) ) ) )).
fof(dt_k13_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k3_finseq_2(k1_numbers)) & v7_ordinal1(B) ) => m1_subset_1(k13_graphsp(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k13_grcat_1,axiom,( ! [A] : ! [B] : ( ( v2_grcat_1(A) & l1_grcat_1(A) & v2_grcat_1(B) & l1_grcat_1(B) ) => ( v1_grcat_1(k13_grcat_1(A,B)) & v2_grcat_1(k13_grcat_1(A,B)) & l1_grcat_1(k13_grcat_1(A,B)) ) ) )).
fof(dt_k13_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) & m1_subset_1(D,B) ) => m1_subset_1(k13_group_10(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k13_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k13_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k13_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v2_group_9(k13_group_9(A,B,C,D),A) & m1_group_9(k13_group_9(A,B,C,D),A,B) ) ) )).
fof(dt_k13_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) => ( v1_funct_1(k13_hahnban1(A,B)) & v1_funct_2(k13_hahnban1(A,B),u1_struct_0(A),k1_numbers) & m1_subset_1(k13_hahnban1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(dt_k13_idea_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k13_idea_1(A),k4_ordinal1) ) )).
fof(dt_k13_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k13_ideal_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k13_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => m5_index_1(k13_index_1(A,B,C),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) ) )).
fof(dt_k13_integra1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & m1_integra1(C,A) & v7_ordinal1(D) ) => m1_subset_1(k13_integra1(A,B,C,D),k4_ordinal1) ) )).
fof(dt_k13_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => m1_subset_1(k13_intpro_1(A),k1_zfmisc_1(k1_intpro_1)) ) )).
fof(dt_k13_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_cat_1(F,A,C) & m2_cat_1(G,A,C) & m1_nattra_1(H,A,B,D,E) & m1_nattra_1(I,A,C,F,G) ) => m1_nattra_1(k13_isocat_2(A,B,C,D,E,F,G,H,I),A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),k8_isocat_2(A,B,C,E,G)) ) )).
fof(dt_k13_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k13_jordan5d(A)) ) )).
fof(dt_k13_lang1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k13_lang1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k13_lattad_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_enumset1(1,2,3)) & m1_subset_1(B,k1_enumset1(1,2,3)) ) => m1_subset_1(k13_lattad_1(A,B),k1_enumset1(1,2,3)) ) )).
fof(dt_k13_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k13_lattice3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k13_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m2_lexbfs(B,A) & v7_ordinal1(C) ) => m1_subset_1(k13_lexbfs(A,B,C),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) )).
fof(dt_k13_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v8_algstr_0(k13_lmod_7(A,B,C)) & l2_algstr_0(k13_lmod_7(A,B,C)) ) ) )).
fof(dt_k13_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k13_lopban_1(A,B,C)) & v1_funct_2(k13_lopban_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(k13_lopban_1(A,B,C),A,B) & v1_lopban_1(k13_lopban_1(A,B,C),A,B) & v2_lopban_1(k13_lopban_1(A,B,C),A,B) & m1_subset_1(k13_lopban_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k13_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => m1_lattice4(k13_lopclset(A),A,k12_lopclset(A)) ) )).
fof(dt_k13_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k13_lpspacc1(A,B,C)) & m1_subset_1(k13_lpspacc1(A,B,C),k1_zfmisc_1(u1_struct_0(k12_lpspacc1(A)))) ) ) )).
fof(dt_k13_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(k13_lpspace1(A,B,C,D),k1_zfmisc_1(k9_lpspace1(A,B,C))) ) )).
fof(dt_k13_ltlaxio1,axiom,( m1_subset_1(k13_ltlaxio1,k1_zfmisc_1(k1_hilbert1)) )).
fof(dt_k13_margrel1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k13_margrel1(A,B)) & v1_funct_1(k13_margrel1(A,B)) & v1_margrel1(k13_margrel1(A,B)) ) ) )).
fof(dt_k13_matrix_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m2_finseq_2(k13_matrix_0(A,B),A,k4_finseq_2(1,A)) ) )).
fof(dt_k13_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => m2_finseq_1(k13_matrix_3(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k13_matrixc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k13_matrixc1(A,B,C)) & m2_finseq_1(k13_matrixc1(A,B,C),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k13_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrix_0(k13_matrixj1(A,B,C)) & v2_matrix_0(k13_matrixj1(A,B,C),A,k1_wsierp_1(k10_matrixj1(A,C)),k1_wsierp_1(k11_matrixj1(A,C))) & m2_finseq_1(k13_matrixj1(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k13_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k13_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k13_metric_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ( v1_funct_1(k13_metric_3(A,B,C)) & v1_funct_2(k13_metric_3(A,B,C),k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers) & m1_subset_1(k13_metric_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers))) ) ) )).
fof(dt_k13_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( v1_funct_1(k13_midsp_1(A)) & v1_funct_2(k13_midsp_1(A),k10_midsp_1(A),k10_midsp_1(A)) & m1_subset_1(k13_midsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k10_midsp_1(A),k10_midsp_1(A)))) ) ) )).
fof(dt_k13_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(D) ) => m1_subset_1(k13_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k13_mod_2,axiom,( v1_funct_1(k13_mod_2) & v1_funct_2(k13_mod_2,k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)) & m1_subset_1(k13_mod_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)))) )).
fof(dt_k13_modelc_1,axiom,( ! [A] : ! [B] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_1(B) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_modelc_1(k13_modelc_1(A,B)) & m2_finseq_1(k13_modelc_1(A,B),k4_ordinal1) ) ) )).
fof(dt_k13_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k1_modelc_3(A))) ) => m1_subset_1(k13_modelc_3(A,B),k1_zfmisc_1(k9_modelc_2)) ) )).
fof(dt_k13_monoid_1,axiom,( ! [A] : ( ~ v2_struct_0(k13_monoid_1(A)) & v22_algstr_0(k13_monoid_1(A)) & v4_vectsp_1(k13_monoid_1(A)) & v3_group_1(k13_monoid_1(A)) & v5_group_1(k13_monoid_1(A)) & v1_monoid_0(k13_monoid_1(A)) & v16_monoid_0(k13_monoid_1(A)) & v17_monoid_0(k13_monoid_1(A)) & l4_algstr_0(k13_monoid_1(A)) ) )).
fof(dt_k13_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_msafree(k13_msafree(A,B),A,k11_msafree(A,B)) ) )).
fof(dt_k13_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & v7_ordinal1(D) ) => m1_subset_1(k13_msafree5(A,B,C,D),k1_zfmisc_1(k3_card_3(u3_msualg_1(A,C)))) ) )).
fof(dt_k13_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_2(C,A,B) & m1_msualg_2(D,A,B) ) => ( v3_msualg_1(k13_msualg_2(A,B,C,D),A) & m1_msualg_2(k13_msualg_2(A,B,C,D),A,B) ) ) )).
fof(dt_k13_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => l3_msualg_1(k13_msualg_4(A,B,C),A) ) )).
fof(dt_k13_nat_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k13_nat_3(A)) & v4_relat_1(k13_nat_3(A),k8_newton) & v1_funct_1(k13_nat_3(A)) & v1_partfun1(k13_nat_3(A),k8_newton) ) ) )).
fof(dt_k13_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ( v1_funct_1(k13_normsp_3(A,B)) & v1_funct_2(k13_normsp_3(A,B),u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B))) & v13_vectsp_1(k13_normsp_3(A,B),A,k10_normsp_3(A,B)) & v1_lopban_1(k13_normsp_3(A,B),A,k10_normsp_3(A,B)) & m1_subset_1(k13_normsp_3(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B))))) ) ) )).
fof(dt_k13_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(k13_openlatt(A)) & v1_funct_2(k13_openlatt(A),k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)) & m1_subset_1(k13_openlatt(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)))) ) ) )).
fof(dt_k13_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => m1_oppcat_1(k13_oppcat_1(A),k2_oppcat_1(A),A) ) )).
fof(dt_k13_ordinal6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k13_ordinal6(A,B)) ) )).
fof(dt_k13_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) ) => m1_subset_1(k13_osafree(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k13_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => m1_subset_1(k13_osalg_2(A,B),k1_zfmisc_1(k14_msualg_2(A,B))) ) )).
fof(dt_k13_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & m1_subset_1(F,k1_euclid(A)) ) => v1_xreal_0(k13_pdiff_1(A,B,C,D,E,F)) ) )).
fof(dt_k13_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k13_petri(A,B),u1_struct_0(k11_petri(A))) ) )).
fof(dt_k13_polyform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) & m1_subset_1(C,k5_polyform(A,k6_xcmplx_0(B,1))) & m1_subset_1(D,k5_polyform(A,B)) ) => m1_subset_1(k13_polyform(A,B,C,D),u1_struct_0(k2_bspace)) ) )).
fof(dt_k13_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & l6_algstr_0(k13_polynom3(A)) ) ) )).
fof(dt_k13_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => m2_pboole(k13_pralg_2(A,B,C),u4_struct_0(B),k3_relat_1(u1_msualg_1(B),k6_finseq_2(u1_struct_0(B),k10_pralg_2(A,B,C))),k3_relat_1(u2_msualg_1(B),k10_pralg_2(A,B,C))) ) )).
fof(dt_k13_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(D) & v1_funct_2(D,B,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(C)))) ) => m1_subset_1(k13_prob_1(A,B,C,D,E),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k13_prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) & m1_subset_1(B,k4_finseq_1(A)) ) => ( ~ v2_struct_0(k13_prvect_1(A,B)) & v13_algstr_0(k13_prvect_1(A,B)) & v2_rlvect_1(k13_prvect_1(A,B)) & v3_rlvect_1(k13_prvect_1(A,B)) & v4_rlvect_1(k13_prvect_1(A,B)) & l2_algstr_0(k13_prvect_1(A,B)) ) ) )).
fof(dt_k13_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ( v1_funct_1(k13_prvect_2(A)) & v1_funct_2(k13_prvect_2(A),k4_card_3(k4_prvect_2(A)),k1_numbers) & m1_subset_1(k13_prvect_2(A),k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k4_prvect_2(A)),k1_numbers))) ) ) )).
fof(dt_k13_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k13_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k13_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) & m1_subset_1(C,u4_struct_0(k11_pua2mss1(A,B))) ) => m2_finseq_2(k13_pua2mss1(A,B,C),B,k3_finseq_2(B)) ) )).
fof(dt_k13_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k13_qc_lang1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k13_qc_lang2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k13_qc_lang2(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k13_quofield,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k7_quofield(A)) ) => m2_subset_1(k13_quofield(A,B),k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) ) )).
fof(dt_k13_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m1_finseq_1(D,k3_radix_1(A)) & v3_card_1(E,C) & m1_finseq_1(E,k3_radix_1(A)) ) => m2_subset_1(k13_radix_1(A,B,C,D,E),k4_numbers,k3_radix_1(A)) ) )).
fof(dt_k13_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k13_ratfunc1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k13_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k13_rfunct_3(A)) & v1_funct_2(k13_rfunct_3(A),k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)) & m1_subset_1(k13_rfunct_3(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)))) ) ) )).
fof(dt_k13_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) & m1_subset_1(B,A) ) => ( v2_ringcat1(k13_ringcat1(A,B)) & m3_ringcat1(k13_ringcat1(A,B),k10_ringcat1(A)) ) ) )).
fof(dt_k13_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) ) => m1_subset_1(k13_rlvect_2(A,B),k11_rlvect_2(A)) ) )).
fof(dt_k13_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k13_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k13_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) ) => m2_finseq_2(k13_rvsum_1(A,B),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k13_scm_comp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k7_dtconstr(k1_scm_comp)) & v7_ordinal1(B) ) => ( v1_relat_1(k13_scm_comp(A,B)) & v5_relat_1(k13_scm_comp(A,B),u1_compos_1(k1_ami_3)) & v1_funct_1(k13_scm_comp(A,B)) & v5_ordinal1(k13_scm_comp(A,B)) & v1_finset_1(k13_scm_comp(A,B)) ) ) )).
fof(dt_k13_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k13_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k13_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => m1_subset_1(k13_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k13_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => v1_int_1(k13_scmpds_i(A)) ) )).
fof(dt_k13_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ( v1_relat_1(k13_scmyciel(A)) & v4_relat_1(k13_scmyciel(A),k4_ordinal1) & v1_funct_1(k13_scmyciel(A)) & v1_partfun1(k13_scmyciel(A),k4_ordinal1) ) ) )).
fof(dt_k13_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k12_seq_4(A)) ) => m2_finseq_2(k13_seq_4(A,B,C),k2_numbers,k12_seq_4(A)) ) )).
fof(dt_k13_sin_cos,axiom,( v1_funct_1(k13_sin_cos) & v1_funct_2(k13_sin_cos,k2_numbers,k2_numbers) & m1_subset_1(k13_sin_cos,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k13_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k13_stacks_1(A,B),u4_struct_0(A)) ) )).
fof(dt_k13_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_substut1(D,A,k7_sublemma(A,B,C)) & ~ v1_xboole_0(E) & m1_subset_1(F,k2_valuat_1(A,E)) ) => ( v1_funct_1(k13_sublemma(A,B,C,D,E,F)) & m1_subset_1(k13_sublemma(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),E))) ) ) )).
fof(dt_k13_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_finset_1(B) & m1_subset_1(B,k1_substut1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k13_substut1(A,B,C),k1_qc_lang1(A)) ) )).
fof(dt_k13_supinf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_numbers)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k13_supinf_2(A,B,C,D,E)) & v1_funct_2(k13_supinf_2(A,B,C,D,E),A,k5_supinf_2(B,C)) & m1_subset_1(k13_supinf_2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k5_supinf_2(B,C)))) ) ) )).
fof(dt_k13_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_topalg_2)) => ( v1_funct_1(k13_toprealb(A)) & v1_funct_2(k13_toprealb(A),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(A,k2_xcmplx_0(A,1))))),u1_struct_0(k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A)))) & m1_subset_1(k13_toprealb(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(A,k2_xcmplx_0(A,1))))),u1_struct_0(k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A)))))) ) ) )).
fof(dt_k13_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(D) ) => m1_subset_1(k13_toprealc(A,B,C,D),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k13_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( ~ v1_xboole_0(k13_trees_3(A,B)) & v1_trees_1(k13_trees_3(A,B)) ) ) )).
fof(dt_k13_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => ( v1_funct_1(k13_trees_9(A,B)) & v1_funct_2(k13_trees_9(A,B),k12_trees_9(A,B),k3_finseq_2(k9_trees_9(A))) & m1_subset_1(k13_trees_9(A,B),k1_zfmisc_1(k2_zfmisc_1(k12_trees_9(A,B),k3_finseq_2(k9_trees_9(A))))) ) ) )).
fof(dt_k13_turing_1,axiom,( v1_turing_1(k13_turing_1) & l1_turing_1(k13_turing_1) )).
fof(dt_k13_twoscomp,axiom,( v1_funct_1(k13_twoscomp) & v1_funct_2(k13_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k13_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k13_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v1_funct_1(k13_valued_1(A,B)) ) ) )).
fof(dt_k13_zf_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) & v1_zf_lang(C) & m1_finseq_1(C,k4_ordinal1) ) => ( v1_zf_lang(k13_zf_lang(A,B,C)) & m2_finseq_1(k13_zf_lang(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k13_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(k13_zmodul02(A,B,C),u1_struct_0(k12_zmodul02(A,B))) ) )).
fof(dt_k14_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => m1_subset_1(k14_abcmiz_1(A),u1_struct_0(A)) ) )).
fof(dt_k14_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => ( v2_abcmiz_1(k14_abcmiz_a(A),k27_abcmiz_1) & m1_subset_1(k14_abcmiz_a(A),u4_struct_0(k27_abcmiz_1)) ) ) )).
fof(dt_k14_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & m1_subset_1(C,k8_afinsq_1(A)) ) => m1_subset_1(k14_afinsq_1(A,B,C),k8_afinsq_1(A)) ) )).
fof(dt_k14_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v1_incsp_1(k14_afproj(A)) & l1_incsp_1(k14_afproj(A)) ) ) )).
fof(dt_k14_algstr_4,axiom,( ! [A] : l3_algstr_0(k14_algstr_4(A)) )).
fof(dt_k14_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_unialg_1(A) & v5_aofa_000(A) & l1_unialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k14_aofa_000(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k14_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l3_msualg_1(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & l3_msualg_1(D,A) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),E)) & v1_relat_1(G) & v1_funct_1(G) & v1_funcop_1(G) ) => m1_subset_1(k14_aofa_a00(A,B,C,D,E,F,G),k1_funct_1(u3_msualg_1(A,D),E)) ) )).
fof(dt_k14_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) & m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) => m1_subset_1(k14_aofa_l00(A,B,C,D,E),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) )).
fof(dt_k14_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_funct_2(B,A,k1_numbers) & m1_funct_2(C,A,k1_numbers) ) => m1_funct_2(k14_asympt_0(A,B,C),A,k1_numbers) ) )).
fof(dt_k14_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( v3_orders_2(k14_bagorder(A)) & v4_orders_2(k14_bagorder(A)) & v5_orders_2(k14_bagorder(A)) & l1_orders_2(k14_bagorder(A)) ) ) )).
fof(dt_k14_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( ~ v2_struct_0(k14_bilinear(A,B,C,D)) & v7_vectsp_1(k14_bilinear(A,B,C,D),A) & m1_vectsp_4(k14_bilinear(A,B,C,D),A,C) ) ) )).
fof(dt_k14_borsuk_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k14_borsuk_7(A,B),u1_struct_0(k7_toprealb(A,k4_struct_0(k15_euclid(A)),1))) ) )).
fof(dt_k14_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k14_bvfunc_1(A,B)) & v1_funct_2(k14_bvfunc_1(A,B),A,k5_margrel1) & m1_subset_1(k14_bvfunc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k14_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) ) => m2_cat_1(k14_cat_2(A,B,C,D,E),A,k6_cat_2(B,C)) ) )).
fof(dt_k14_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k14_cat_4(A,B,C),A,k2_cat_4(A,B,C),k2_cat_4(A,C,B)) ) )).
fof(dt_k14_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k11_cat_5(A,B))) ) => m2_subset_1(k14_cat_5(A,B,C),u4_struct_0(A),k9_cat_5(A,B)) ) )).
fof(dt_k14_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v1_funct_1(k14_cat_6(A)) & m1_subset_1(k14_cat_6(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_cat_6(A),k1_cat_6(A)),k1_cat_6(A)))) ) ) )).
fof(dt_k14_classes2,axiom,( ~ v1_xboole_0(k14_classes2) & v1_classes2(k14_classes2) )).
fof(dt_k14_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k14_clopban1(A,B)) & l2_clvect_1(k14_clopban1(A,B)) ) ) )).
fof(dt_k14_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k14_comput_1(A)) & v1_funct_1(k14_comput_1(A)) ) ) )).
fof(dt_k14_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( v1_funct_1(k14_convex4(A)) & v1_funct_2(k14_convex4(A),k2_zfmisc_1(k2_numbers,k10_convex4(A)),k10_convex4(A)) & m1_subset_1(k14_convex4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k10_convex4(A)),k10_convex4(A)))) ) ) )).
fof(dt_k14_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => m2_subset_1(k14_cqc_sim1(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k14_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k14_csspace(A,B,C)) & v1_funct_2(k14_csspace(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k14_csspace(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k14_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k14_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k14_descip_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,64,16) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(64,16))) ) => m1_subset_1(k14_descip_1(A,B),16) ) )).
fof(dt_k14_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) ) => m1_subset_1(k14_domain_1(A,B,C,D),A) ) )).
fof(dt_k14_dtconstr,axiom,( v1_funct_1(k14_dtconstr) & v1_funct_2(k14_dtconstr,k4_ordinal1,k4_dtconstr(k5_dtconstr)) & m1_subset_1(k14_dtconstr,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_dtconstr(k5_dtconstr)))) )).
fof(dt_k14_dualsp01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k14_dualsp01(A,B)) & v1_funct_2(k14_dualsp01(A,B),u1_struct_0(A),k1_numbers) & v2_hahnban(k14_dualsp01(A,B),A) & v3_hahnban(k14_dualsp01(A,B),A) & v1_dualsp01(k14_dualsp01(A,B),A) & m1_subset_1(k14_dualsp01(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(dt_k14_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k14_e_siec(A)) ) )).
fof(dt_k14_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) ) => m1_subset_1(k14_ens_1(A,B),u4_struct_0(k11_ens_1(A))) ) )).
fof(dt_k14_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_metric_1(k14_euclid(A)) & v6_metric_1(k14_euclid(A)) & v7_metric_1(k14_euclid(A)) & v8_metric_1(k14_euclid(A)) & v9_metric_1(k14_euclid(A)) & l1_metric_1(k14_euclid(A)) ) ) )).
fof(dt_k14_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k14_facirc_1(A,B,C)) & ~ v11_struct_0(k14_facirc_1(A,B,C)) & v1_msualg_1(k14_facirc_1(A,B,C)) & v1_circcomb(k14_facirc_1(A,B,C)) & v2_circcomb(k14_facirc_1(A,B,C)) & v3_circcomb(k14_facirc_1(A,B,C)) & l1_msualg_1(k14_facirc_1(A,B,C)) ) )).
fof(dt_k14_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k14_ff_siec(A)) ) )).
fof(dt_k14_finseq_1,axiom,( ! [A] : m2_finseq_1(k14_finseq_1(A),k4_ordinal1) )).
fof(dt_k14_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k14_fintopo2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k14_fomodel0,axiom,( ! [A] : ! [B] : m1_subset_1(k14_fomodel0(A,B),k1_zfmisc_1(A)) )).
fof(dt_k14_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l4_struct_0(A) ) => ( v1_funct_1(k14_fomodel1(A)) & v1_funct_2(k14_fomodel1(A),k6_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),u3_struct_0(A))),k4_numbers) & m1_subset_1(k14_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),u3_struct_0(A))),k4_numbers))) ) ) )).
fof(dt_k14_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k10_eqrel_1(A)) ) => m1_subset_1(k14_fomodel3(A,B),A) ) )).
fof(dt_k14_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k14_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k14_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_freealg(B) ) => m2_finseq_1(k14_freealg(A,B),k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B)))) ) )).
fof(dt_k14_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( v3_msualg_1(k14_ftacell1(A,B,C,D,E),k13_ftacell1(A,B,C,D,E)) & v4_msafree2(k14_ftacell1(A,B,C,D,E),k13_ftacell1(A,B,C,D,E)) & v4_circcomb(k14_ftacell1(A,B,C,D,E),k13_ftacell1(A,B,C,D,E)) & v6_circcomb(k14_ftacell1(A,B,C,D,E),k13_ftacell1(A,B,C,D,E)) & l3_msualg_1(k14_ftacell1(A,B,C,D,E),k13_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k14_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k14_funct_3(A,B,C,D,E)) & v1_funct_2(k14_funct_3(A,B,C,D,E),A,k2_zfmisc_1(B,C)) & m1_subset_1(k14_funct_3(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) ) )).
fof(dt_k14_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(E,B) ) => ( v1_funct_1(k14_funct_7(A,B,C,D,E)) & v1_funct_2(k14_funct_7(A,B,C,D,E),A,B) & m1_subset_1(k14_funct_7(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k14_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_altcat_2(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & m1_altcat_2(C,A) & l2_functor0(D,A,B) ) => l2_functor0(k14_functor0(A,B,C,D),C,B) ) )).
fof(dt_k14_gaussint,axiom,( ~ v2_struct_0(k14_gaussint) & v36_algstr_0(k14_gaussint) & l6_algstr_0(k14_gaussint) )).
fof(dt_k14_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k14_gfacirc1(A,B,C),k13_gfacirc1(A,B,C)) & v4_msafree2(k14_gfacirc1(A,B,C),k13_gfacirc1(A,B,C)) & v4_circcomb(k14_gfacirc1(A,B,C),k13_gfacirc1(A,B,C)) & v6_circcomb(k14_gfacirc1(A,B,C),k13_gfacirc1(A,B,C)) & l3_msualg_1(k14_gfacirc1(A,B,C),k13_gfacirc1(A,B,C)) ) )).
fof(dt_k14_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => v1_card_1(k14_glib_000(A)) ) )).
fof(dt_k14_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ( v1_finset_1(k14_glib_001(A,B)) & m1_subset_1(k14_glib_001(A,B),k1_zfmisc_1(k7_glib_000(A))) ) ) )).
fof(dt_k14_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => m1_subset_1(k14_glib_003(A),k1_zfmisc_1(k6_glib_000(A))) ) )).
fof(dt_k14_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) => m1_subset_1(k14_glib_004(A,B),k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k14_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,k9_graph_3(A)) ) => m2_finseq_2(k14_graph_3(A,B),u4_struct_0(A),k9_graph_3(A)) ) )).
fof(dt_k14_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(B,k3_finseq_2(k1_numbers)) & v7_ordinal1(C) ) => v7_ordinal1(k14_graphsp(A,B,C)) ) )).
fof(dt_k14_grcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & m1_grcat_1(D,B,C) & m1_grcat_1(E,A,B) ) => ( v1_grcat_1(k14_grcat_1(A,B,C,D,E)) & m1_grcat_1(k14_grcat_1(A,B,C,D,E),A,C) ) ) )).
fof(dt_k14_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => m1_eqrel_1(k14_group_10(A,B,C),B) ) )).
fof(dt_k14_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k14_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k14_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v2_group_9(k14_group_9(A,B,C,D),A) & m1_group_9(k14_group_9(A,B,C,D),A,C) ) ) )).
fof(dt_k14_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k14_ideal_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k14_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m5_index_1(E,u1_struct_0(C),u4_struct_0(C),u1_graph_1(C),u2_graph_1(C),u1_cat_1(C),k7_isocat_1(C)) ) => m5_index_1(k14_index_1(A,B,C,D,E),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) ) )).
fof(dt_k14_integra1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => m2_finseq_1(k14_integra1(A),k1_numbers) ) )).
fof(dt_k14_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m2_interva1(B,A) ) => m1_subset_1(k14_interva1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k14_intpro_1,axiom,( m1_subset_1(k14_intpro_1,k1_zfmisc_1(k1_intpro_1)) )).
fof(dt_k14_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_cat_1(F,A,C) & m2_cat_1(G,A,C) & m2_nattra_1(H,A,B,D,E) & m2_nattra_1(I,A,C,F,G) ) => m2_nattra_1(k14_isocat_2(A,B,C,D,E,F,G,H,I),A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),k8_isocat_2(A,B,C,E,G)) ) )).
fof(dt_k14_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k14_jordan5d(A)) ) )).
fof(dt_k14_lattad_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_enumset1(1,2,3)) & m1_subset_1(B,k1_enumset1(1,2,3)) ) => m1_subset_1(k14_lattad_1(A,B),k1_enumset1(1,2,3)) ) )).
fof(dt_k14_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( ~ v2_struct_0(k14_lattice3(A)) & v3_lattices(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)) & l3_lattices(k14_lattice3(A)) ) ) )).
fof(dt_k14_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m2_lexbfs(B,A) ) => m1_subset_1(k14_lexbfs(A,B),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) )).
fof(dt_k14_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k14_lmod_7(A,B,C,D),u1_struct_0(k13_lmod_7(A,B,C))) ) )).
fof(dt_k14_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v1_xboole_0(k14_lopban_1(A,B,C)) & m1_subset_1(k14_lopban_1(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k14_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k14_lpspacc1(A,B,C)) & l1_clvect_1(k14_lpspacc1(A,B,C)) ) ) )).
fof(dt_k14_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k14_lpspace1(A,B,C)) & m1_subset_1(k14_lpspace1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(k9_lpspace1(A,B,C)))) ) ) )).
fof(dt_k14_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k14_margrel1(A,B)) & v1_funct_2(k14_margrel1(A,B),A,k5_margrel1) & m1_subset_1(k14_margrel1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k14_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(B,A)) ) => ( v1_matrix_0(k14_matrix_0(A,B,C)) & v2_matrix_0(k14_matrix_0(A,B,C),A,1,B) & m2_finseq_1(k14_matrix_0(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k14_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrix_0(k14_matrixj1(A,B,C)) & v2_matrix_0(k14_matrixj1(A,B,C),A,k3_finseq_1(k2_matrixj1(A,B,C)),k3_finseq_1(k2_matrixj1(A,B,C))) & m2_finseq_1(k14_matrixj1(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k14_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => m1_subset_1(k14_mesfunc1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k14_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k14_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k14_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => m1_subset_1(k14_midsp_1(A),k10_midsp_1(A)) ) )).
fof(dt_k14_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(D) ) => m1_subset_1(k14_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k14_mod_2,axiom,( v1_funct_1(k14_mod_2) & v1_funct_2(k14_mod_2,k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)) & m1_subset_1(k14_mod_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2)))) )).
fof(dt_k14_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_1(k14_modelc_1(A)) & m2_finseq_1(k14_modelc_1(A),k4_ordinal1) ) ) )).
fof(dt_k14_modelc_2,axiom,( ! [A] : ( v1_modelc_2(k14_modelc_2(A)) & m2_finseq_1(k14_modelc_2(A),k4_ordinal1) ) )).
fof(dt_k14_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => m1_subset_1(k14_modelc_3(A,B),k1_zfmisc_1(k9_modelc_2)) ) )).
fof(dt_k14_monoid_0,axiom,( ! [A] : ( v1_funct_1(k14_monoid_0(A)) & v1_funct_2(k14_monoid_0(A),k2_zfmisc_1(k4_partfun1(A,A),k4_partfun1(A,A)),k4_partfun1(A,A)) & m1_subset_1(k14_monoid_0(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_partfun1(A,A),k4_partfun1(A,A)),k4_partfun1(A,A)))) ) )).
fof(dt_k14_monoid_1,axiom,( ! [A] : ! [B] : m1_subset_1(k14_monoid_1(A,B),u1_struct_0(k13_monoid_1(B))) )).
fof(dt_k14_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k14_msafree(A,B,C)) & v1_funct_2(k14_msafree(A,B,C),k12_msafree(A,B,C),k1_funct_1(B,C)) & m1_subset_1(k14_msafree(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k12_msafree(A,B,C),k1_funct_1(B,C)))) ) ) )).
fof(dt_k14_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & v7_ordinal1(D) ) => m1_subset_1(k14_msafree5(A,B,C,D),k1_zfmisc_1(k3_card_3(u3_msualg_1(A,C)))) ) )).
fof(dt_k14_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) ) => ( v1_funct_1(k14_msualg_4(A,B,C,D)) & v1_funct_2(k14_msualg_4(A,B,C,D),k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(k4_msualg_4(A,B,C),D)) & m1_subset_1(k14_msualg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(k4_msualg_4(A,B,C),D)))) ) ) )).
fof(dt_k14_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k14_normsp_3(A,B,C)) & v1_funct_2(k14_normsp_3(A,B,C),u1_struct_0(k10_normsp_3(A,k5_normsp_3(A,B,C))),u1_struct_0(k7_normsp_3(A,B,C))) & v13_vectsp_1(k14_normsp_3(A,B,C),k10_normsp_3(A,k5_normsp_3(A,B,C)),k7_normsp_3(A,B,C)) & v1_lopban_1(k14_normsp_3(A,B,C),k10_normsp_3(A,k5_normsp_3(A,B,C)),k7_normsp_3(A,B,C)) & m1_subset_1(k14_normsp_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_normsp_3(A,k5_normsp_3(A,B,C))),u1_struct_0(k7_normsp_3(A,B,C))))) ) ) )).
fof(dt_k14_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(k14_openlatt(A)) & v1_funct_2(k14_openlatt(A),k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)) & m1_subset_1(k14_openlatt(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_openlatt(A),k9_openlatt(A)),k9_openlatt(A)))) ) ) )).
fof(dt_k14_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) ) => m1_dtconstr(k14_osafree(A,B,C),u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) ) )).
fof(dt_k14_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_funct_1(k14_osalg_2(A,B)) & v1_funct_2(k14_osalg_2(A,B),k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)) & m1_subset_1(k14_osalg_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)))) ) ) )).
fof(dt_k14_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_osalg_4(D,A,C) ) => ( v1_funct_1(k14_osalg_4(A,B,C,D)) & v1_funct_2(k14_osalg_4(A,B,C,D),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)) & m1_subset_1(k14_osalg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,C,D))),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,C,D)),B)))) ) ) )).
fof(dt_k14_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ( v1_funct_1(k14_pdiff_1(A,B,C,D,E)) & m1_subset_1(k14_pdiff_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)))))) ) ) )).
fof(dt_k14_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => ( ~ v2_struct_0(k14_polyform(A,B)) & v13_algstr_0(k14_polyform(A,B)) & v8_vectsp_1(k14_polyform(A,B),k2_bspace) & v9_vectsp_1(k14_polyform(A,B),k2_bspace) & v10_vectsp_1(k14_polyform(A,B),k2_bspace) & v11_vectsp_1(k14_polyform(A,B),k2_bspace) & v2_rlvect_1(k14_polyform(A,B)) & v3_rlvect_1(k14_polyform(A,B)) & v4_rlvect_1(k14_polyform(A,B)) & v1_matrlin(k14_polyform(A,B),k2_bspace) & l1_vectsp_1(k14_polyform(A,B),k2_bspace) ) ) )).
fof(dt_k14_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => l3_msualg_1(k14_pralg_2(A,B,C),B) ) )).
fof(dt_k14_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => ( v1_relat_1(k14_prvect_1(A)) & v2_relat_1(k14_prvect_1(A)) & v1_funct_1(k14_prvect_1(A)) & ~ v1_xboole_0(k14_prvect_1(A)) & v1_finseq_1(k14_prvect_1(A)) ) ) )).
fof(dt_k14_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ( ~ v2_struct_0(k14_prvect_2(A)) & v1_normsp_1(k14_prvect_2(A)) & l1_normsp_1(k14_prvect_2(A)) ) ) )).
fof(dt_k14_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k14_pscomp_1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k14_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k14_qc_lang1(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k14_qc_lang2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k14_qc_lang2(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k14_quatern2,axiom,( v8_algstr_0(k14_quatern2) & l2_algstr_0(k14_quatern2) )).
fof(dt_k14_quofield,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k7_quofield(A)) ) => m2_subset_1(k14_quofield(A,B),k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) ) )).
fof(dt_k14_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,A) & m1_finseq_1(C,k3_radix_1(B)) & v3_card_1(D,A) & m1_finseq_1(D,k3_radix_1(B)) ) => ( v3_card_1(k14_radix_1(A,B,C,D),A) & m2_finseq_1(k14_radix_1(A,B,C,D),k3_radix_1(B)) ) ) )).
fof(dt_k14_rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k3_rfunct_3(A,k1_numbers)) ) => m2_rfunct_3(k14_rfunct_3(A,B),A,k1_numbers,k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k14_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ( v1_funct_1(k14_ringcat1(A)) & v1_funct_2(k14_ringcat1(A),k10_ringcat1(A),A) & m1_subset_1(k14_ringcat1(A),k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A),A))) ) ) )).
fof(dt_k14_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k14_rlvect_2(A)) & v1_funct_2(k14_rlvect_2(A),k2_zfmisc_1(k11_rlvect_2(A),k11_rlvect_2(A)),k11_rlvect_2(A)) & m1_subset_1(k14_rlvect_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_rlvect_2(A),k11_rlvect_2(A)),k11_rlvect_2(A)))) ) ) )).
fof(dt_k14_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k14_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k14_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => m2_finseq_1(k14_rvsum_1(A,B),k1_numbers) ) )).
fof(dt_k14_scm_comp,axiom,( v1_funct_1(k14_scm_comp) & v1_funct_2(k14_scm_comp,k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3)))) & m1_subset_1(k14_scm_comp,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k1_scm_comp),k9_funct_2(k4_ordinal1,k8_afinsq_1(u1_compos_1(k1_ami_3)))))) )).
fof(dt_k14_scmfsa_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => m1_subset_1(k14_scmfsa_2(A,B,C),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k14_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => m1_subset_1(k14_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k14_scmpds_i,axiom,( m1_subset_1(k14_scmpds_i,k4_ordinal1) )).
fof(dt_k14_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k14_seq_4(A),k2_numbers) ) )).
fof(dt_k14_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xcmplx_0(k14_sin_cos(A)) ) )).
fof(dt_k14_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v1_stacks_1(k14_stacks_1(A)) & l1_stacks_1(k14_stacks_1(A)) ) ) )).
fof(dt_k14_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( v1_funct_1(k14_sublemma(A,B,C,D)) & m1_subset_1(k14_sublemma(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) ) )).
fof(dt_k14_substut1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) & v1_finset_1(D) & m1_subset_1(D,k1_substut1(A)) ) => m1_subset_1(k14_substut1(A,B,C,D),k1_substut1(A)) ) )).
fof(dt_k14_supinf_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k14_supinf_2(A,B,C)) & v1_funct_2(k14_supinf_2(A,B,C),A,k6_supinf_2(B)) & m1_subset_1(k14_supinf_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_supinf_2(B)))) ) ) )).
fof(dt_k14_toprealb,axiom,( v1_funct_1(k14_toprealb) & v1_funct_2(k14_toprealb,u1_struct_0(k11_toprealb(k9_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & m1_subset_1(k14_toprealb,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_toprealb(k9_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))))) )).
fof(dt_k14_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v3_membered(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( v1_funct_1(k14_toprealc(A,B,C,D)) & v1_funct_2(k14_toprealc(A,B,C,D),B,u1_struct_0(k15_euclid(A))) & m1_subset_1(k14_toprealc(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_k14_trees_3,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k14_trees_3(A),k4_ordinal1) ) )).
fof(dt_k14_turing_1,axiom,( v1_funct_1(k14_turing_1) & v1_funct_2(k14_turing_1,k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(k14_turing_1,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) )).
fof(dt_k14_twoscomp,axiom,( v1_funct_1(k14_twoscomp) & v1_funct_2(k14_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k14_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k14_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k14_valued_1(A,B,C,D)) & m1_subset_1(k14_valued_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k14_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k14_valued_2(A,B)) & v1_funct_1(k14_valued_2(A,B)) ) ) )).
fof(dt_k14_zf_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) & v1_zf_lang(C) & m1_finseq_1(C,k4_ordinal1) ) => ( v1_zf_lang(k14_zf_lang(A,B,C)) & m2_finseq_1(k14_zf_lang(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k14_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k14_zmodul02(A)) & v1_funct_2(k14_zmodul02(A),k2_zfmisc_1(u1_struct_0(k1_int_3),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k14_zmodul02(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k15_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => m1_subset_1(k15_abcmiz_1(A),u4_struct_0(A)) ) )).
fof(dt_k15_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k5_abcmiz_a) => ( v2_abcmiz_1(k15_abcmiz_a(A),k27_abcmiz_1) & m2_abcmiz_1(k15_abcmiz_a(A),k27_abcmiz_1,k12_abcmiz_1(k27_abcmiz_1)) ) ) )).
fof(dt_k15_aescip_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v7_ordinal1(B) ) => ( v1_funct_1(k15_aescip_1(A,B)) & v1_funct_2(k15_aescip_1(A,B),k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(k2_xcmplx_0(7,B),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))))) & m1_subset_1(k15_aescip_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(k2_xcmplx_0(7,B),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))))))) ) ) )).
fof(dt_k15_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k8_afinsq_1(A)) & m1_subset_1(C,k8_afinsq_1(A)) ) => m1_subset_1(k15_afinsq_1(A,B,C),k8_afinsq_1(A)) ) )).
fof(dt_k15_algstr_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k14_algstr_4(A))) => v7_ordinal1(k15_algstr_4(A,B)) ) )).
fof(dt_k15_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_unialg_1(A) & v3_aofa_000(A) & v5_aofa_000(A) & l1_unialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k15_aofa_000(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k15_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) ) => m1_subset_1(k15_aofa_a00(A,B,C,D,E),k10_xtuple_0(u4_aofa_a00(A,B,C,D))) ) )).
fof(dt_k15_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( v1_funct_1(k15_aofa_i00(A,B,C)) & v1_funct_2(k15_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k15_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k15_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) & m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) => m1_subset_1(k15_aofa_l00(A,B,C,D,E),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) )).
fof(dt_k15_asympt_0,axiom,( ! [A] : ! [B] : ( ( m1_funct_2(A,k4_ordinal1,k1_numbers) & m1_funct_2(B,k4_ordinal1,k1_numbers) ) => m1_funct_2(k15_asympt_0(A,B),k4_ordinal1,k1_numbers) ) )).
fof(dt_k15_bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v16_waybel_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) ) => m1_subset_1(k15_bagorder(A,B),u1_struct_0(A)) ) )).
fof(dt_k15_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k15_bilinear(A,B,C,D)) & v1_funct_2(k15_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & v4_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & m1_subset_1(k15_bilinear(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k15_binop_2,axiom,( v1_funct_1(k15_binop_2) & v1_funct_2(k15_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m1_subset_1(k15_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers))) )).
fof(dt_k15_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) ) => ( v2_borsuk_1(k15_borsuk_1(A,B,C),A) & m1_borsuk_1(k15_borsuk_1(A,B,C),A) ) ) )).
fof(dt_k15_borsuk_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k15_borsuk_7(A,B)) & v1_funct_2(k15_borsuk_7(A,B),u1_struct_0(k8_toprealb(k1_nat_1(A,1))),u1_struct_0(k8_toprealb(A))) & m1_subset_1(k15_borsuk_7(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(k1_nat_1(A,1))),u1_struct_0(k8_toprealb(A))))) ) ) )).
fof(dt_k15_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_eqrel_1(C,A) ) => m1_bvfunc_1(k15_bvfunc_1(A,B,C),A,C) ) )).
fof(dt_k15_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) & m2_cat_1(E,A,C) & m2_cat_1(F,B,D) ) => m2_cat_1(k15_cat_2(A,B,C,D,E,F),k6_cat_2(A,B),k6_cat_2(C,D)) ) )).
fof(dt_k15_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k15_cat_4(A,B),A,B,k2_cat_4(A,B,B)) ) )).
fof(dt_k15_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k11_cat_5(A,B))) ) => m2_subset_1(k15_cat_5(A,B,C),u4_struct_0(A),k9_cat_5(A,B)) ) )).
fof(dt_k15_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ( v1_funct_1(k15_cat_6(A)) & v1_funct_2(k15_cat_6(A),k1_cat_6(A),k6_cat_6(A)) & m1_subset_1(k15_cat_6(A),k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A),k6_cat_6(A)))) ) ) )).
fof(dt_k15_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) ) => ( ~ v2_struct_0(k15_chain_1(A,B,C)) & v8_algstr_0(k15_chain_1(A,B,C)) & v13_algstr_0(k15_chain_1(A,B,C)) & v2_rlvect_1(k15_chain_1(A,B,C)) & v3_rlvect_1(k15_chain_1(A,B,C)) & v4_rlvect_1(k15_chain_1(A,B,C)) & l2_algstr_0(k15_chain_1(A,B,C)) ) ) )).
fof(dt_k15_classes2,axiom,( ! [A] : ( ~ v1_xboole_0(k15_classes2(A)) & v1_classes2(k15_classes2(A)) ) )).
fof(dt_k15_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & m1_subset_1(C,u1_struct_0(k14_clopban1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k15_clopban1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k15_comput_1,axiom,( v1_relat_1(k15_comput_1) & v1_funct_1(k15_comput_1) & v7_comput_1(k15_comput_1) & v8_comput_1(k15_comput_1,2) )).
fof(dt_k15_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( ~ v2_struct_0(k15_convex4(A)) & v13_algstr_0(k15_convex4(A)) & v2_rlvect_1(k15_convex4(A)) & v3_rlvect_1(k15_convex4(A)) & v4_rlvect_1(k15_convex4(A)) & v2_clvect_1(k15_convex4(A)) & v3_clvect_1(k15_convex4(A)) & v4_clvect_1(k15_convex4(A)) & v5_clvect_1(k15_convex4(A)) & l1_clvect_1(k15_convex4(A)) ) ) )).
fof(dt_k15_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => m1_subset_1(k15_cqc_sim1(A,B),k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))))) ) )).
fof(dt_k15_csspace,axiom,( v1_funct_1(k15_csspace) & v1_funct_2(k15_csspace,k2_zfmisc_1(k9_csspace,k9_csspace),k2_numbers) & m1_subset_1(k15_csspace,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_csspace,k9_csspace),k2_numbers))) )).
fof(dt_k15_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k15_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k15_descip_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,k5_card_1(A)) ) => m2_subset_1(k15_descip_1(A,B),k4_ordinal1,k2_finseq_1(A)) ) )).
fof(dt_k15_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) ) => m1_subset_1(k15_domain_1(A,B,C,D),B) ) )).
fof(dt_k15_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_lang1(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => m2_finseq_1(k15_dtconstr(A,B),k1_lang1(A)) ) )).
fof(dt_k15_dualsp01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ~ v1_xboole_0(k15_dualsp01(A,B)) & m1_subset_1(k15_dualsp01(A,B),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k15_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k15_e_siec(A)) ) )).
fof(dt_k15_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u4_struct_0(k11_ens_1(A))) ) => m1_subset_1(k15_ens_1(A,B),k2_ens_1(A)) ) )).
fof(dt_k15_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & l1_rltopsp1(k15_euclid(A)) ) ) )).
fof(dt_k15_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k15_facirc_1(A,B,C)) & ~ v11_struct_0(k15_facirc_1(A,B,C)) & v1_msualg_1(k15_facirc_1(A,B,C)) & v1_circcomb(k15_facirc_1(A,B,C)) & v2_circcomb(k15_facirc_1(A,B,C)) & v3_circcomb(k15_facirc_1(A,B,C)) & l1_msualg_1(k15_facirc_1(A,B,C)) ) )).
fof(dt_k15_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k15_ff_siec(A)) ) )).
fof(dt_k15_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)) ) ) )).
fof(dt_k15_fomodel0,axiom,( ! [A] : ! [B] : m1_subset_1(k15_fomodel0(A,B),k1_zfmisc_1(k2_xboole_0(A,B))) )).
fof(dt_k15_fomodel1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k15_fomodel1(A)) ) )).
fof(dt_k15_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => m1_subset_1(k15_fomodel2(A,B),k1_zfmisc_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))))) ) )).
fof(dt_k15_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k15_fomodel3(A)) & v1_funct_2(k15_fomodel3(A),k10_eqrel_1(A),A) & m1_subset_1(k15_fomodel3(A),k1_zfmisc_1(k2_zfmisc_1(k10_eqrel_1(A),A))) ) ) )).
fof(dt_k15_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k15_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k15_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_freealg(B) ) => ( ~ v2_struct_0(k15_freealg(A,B)) & v1_unialg_1(k15_freealg(A,B)) & v2_unialg_1(k15_freealg(A,B)) & v3_unialg_1(k15_freealg(A,B)) & v4_unialg_1(k15_freealg(A,B)) & l1_unialg_1(k15_freealg(A,B)) ) ) )).
fof(dt_k15_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k15_ftacell1(A,B,C,D,E),k3_msafree2(k13_ftacell1(A,B,C,D,E))) )).
fof(dt_k15_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k15_funct_3(A,B)) & v1_funct_1(k15_funct_3(A,B)) ) ) )).
fof(dt_k15_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & l2_functor0(C,A,B) ) => ( v9_functor0(k15_functor0(A,B,C),B,A) & l2_functor0(k15_functor0(A,B,C),B,A) ) ) )).
fof(dt_k15_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => ( v1_xcmplx_0(k15_gaussint(A)) & v4_gaussint(k15_gaussint(A)) ) ) )).
fof(dt_k15_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ~ v8_ordinal1(k15_glib_000(A)) & m1_subset_1(k15_glib_000(A),k4_ordinal1) ) ) )).
fof(dt_k15_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => m1_subset_1(k15_glib_001(A,B),k4_ordinal1) ) )).
fof(dt_k15_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m3_glib_004(B,A) & v7_ordinal1(C) ) => m1_subset_1(k15_glib_004(A,B,C),k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k15_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => m2_funct_2(k15_graphsp(A),k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) ) )).
fof(dt_k15_group_10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v7_ordinal1(B) ) => m1_subset_1(k15_group_10(A,B),k1_zfmisc_1(k1_group_3(A))) ) )).
fof(dt_k15_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => m1_subset_1(k15_group_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k15_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) ) => m1_subset_1(k15_group_9(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k15_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_funct_1(k15_hahnban1(A,B)) & v1_funct_2(k15_hahnban1(A,B),u1_struct_0(A),k1_numbers) & m1_subset_1(k15_hahnban1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(dt_k15_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_funct_1(k15_idea_1(A,B)) & v1_funct_2(k15_idea_1(A,B),k14_idea_1,k14_idea_1) & m1_subset_1(k15_idea_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) ) )).
fof(dt_k15_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k15_ideal_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k15_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & v3_cat_5(D) & l1_cat_1(D) & m2_cat_1(E,C,D) ) => m5_index_1(k15_index_1(A,B,C,D,E),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) ) )).
fof(dt_k15_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m2_interva1(B,A) ) => m1_subset_1(k15_interva1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k15_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => m2_cat_1(k15_isocat_2(A,B,C),k9_nattra_1(A,k6_cat_2(B,C)),k6_cat_2(k9_nattra_1(A,B),k9_nattra_1(A,C))) ) )).
fof(dt_k15_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k15_jordan5d(A)) ) )).
fof(dt_k15_lattad_1,axiom,( v1_funct_1(k15_lattad_1) & v1_funct_2(k15_lattad_1,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(k15_lattad_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) )).
fof(dt_k15_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => m1_subset_1(k15_lattice3(A,B),u1_struct_0(A)) ) )).
fof(dt_k15_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( v1_funct_1(k15_lattice5(A,B,C,D)) & v1_funct_2(k15_lattice5(A,B,C,D),k2_zfmisc_1(k13_lattice5(A,B,C),k13_lattice5(A,B,C)),u1_struct_0(B)) & v1_lattice5(k15_lattice5(A,B,C,D),k13_lattice5(A,B,C),B) & v2_lattice5(k15_lattice5(A,B,C,D),k13_lattice5(A,B,C),B) & v3_lattice5(k15_lattice5(A,B,C,D),k13_lattice5(A,B,C),B) & m1_subset_1(k15_lattice5(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_lattice5(A,B,C),k13_lattice5(A,B,C)),u1_struct_0(B)))) ) ) )).
fof(dt_k15_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m2_lexbfs(B,A) ) => m1_lexbfs(k15_lexbfs(A,B),A) ) )).
fof(dt_k15_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(k13_lmod_7(A,B,C))) ) => m1_subset_1(k15_lmod_7(A,B,C,D,E),u1_struct_0(k13_lmod_7(A,B,C))) ) )).
fof(dt_k15_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k15_lopban_1(A,B)) & v1_funct_2(k15_lopban_1(A,B),k10_lopban_1(A,B),k1_numbers) & m1_subset_1(k15_lopban_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A,B),k1_numbers))) ) ) )).
fof(dt_k15_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k15_lpspacc1(A,B,C)) & m1_subset_1(k15_lpspacc1(A,B,C),k1_zfmisc_1(u1_struct_0(k14_lpspacc1(A,B,C)))) ) ) )).
fof(dt_k15_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k15_lpspace1(A,B,C)) & v1_funct_2(k15_lpspace1(A,B,C),k2_zfmisc_1(k14_lpspace1(A,B,C),k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) & m1_subset_1(k15_lpspace1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_lpspace1(A,B,C),k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)))) ) ) )).
fof(dt_k15_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k15_margrel1(A,B,C)) & v1_funct_2(k15_margrel1(A,B,C),A,k5_margrel1) & m1_subset_1(k15_margrel1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k15_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( v1_matrix_0(k15_matrix_0(A,B,C,D,E)) & v2_matrix_0(k15_matrix_0(A,B,C,D,E),A,2,2) & m2_finseq_1(k15_matrix_0(A,B,C,D,E),k3_finseq_2(A)) ) ) )).
fof(dt_k15_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) & v2_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v2_matrixj1(k15_matrixj1(A,B,C),A) & m2_finseq_1(k15_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k15_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => m1_subset_1(k15_mesfunc1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k15_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => l2_algstr_0(k15_midsp_1(A)) ) )).
fof(dt_k15_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k15_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k15_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_1(k15_modelc_1(A)) & m2_finseq_1(k15_modelc_1(A),k4_ordinal1) ) ) )).
fof(dt_k15_modelc_2,axiom,( m1_subset_1(k15_modelc_2,k1_zfmisc_1(k9_modelc_2)) )).
fof(dt_k15_monoid_0,axiom,( ! [A] : ( v15_algstr_0(k15_monoid_0(A)) & m2_monoid_0(k15_monoid_0(A),k12_monoid_0(A)) ) )).
fof(dt_k15_monoid_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => m1_subset_1(k15_monoid_1(A,B),u1_struct_0(k13_monoid_1(A))) ) )).
fof(dt_k15_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m2_pboole(k15_msafree(A,B),u1_struct_0(A),k13_msafree(A,B),B) ) )).
fof(dt_k15_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_funct_1(k15_msualg_2(A,B)) & v1_funct_2(k15_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m1_subset_1(k15_msualg_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)))) ) ) )).
fof(dt_k15_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => m2_pboole(k15_msualg_4(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k13_msualg_4(A,B,C))) ) )).
fof(dt_k15_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_rlsub_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k15_normsp_3(A,B,C)) & m1_subset_1(k15_normsp_3(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k15_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k15_openlatt(A)) & v10_lattices(k15_openlatt(A)) & l3_lattices(k15_openlatt(A)) ) ) )).
fof(dt_k15_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v2_msualg_4(k15_osafree(A,B),A,k8_osafree(A,B)) & v3_msualg_4(k15_osafree(A,B),A,k8_osafree(A,B)) & v3_osalg_4(k15_osafree(A,B),A,k8_osafree(A,B)) & m1_osalg_4(k15_osafree(A,B),A,k8_osafree(A,B)) ) ) )).
fof(dt_k15_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_funct_1(k15_osalg_2(A,B)) & v1_funct_2(k15_osalg_2(A,B),k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)) & m1_subset_1(k15_osalg_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k13_osalg_2(A,B),k13_osalg_2(A,B)),k13_osalg_2(A,B)))) ) ) )).
fof(dt_k15_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => m2_pboole(k15_osalg_4(A,B,C),u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,B,C))),k3_relat_1(u2_msualg_1(A),k7_osalg_4(A,B,C))) ) )).
fof(dt_k15_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) & m1_subset_1(C,A) ) => l2_pcs_0(k15_pcs_0(A,B,C)) ) )).
fof(dt_k15_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u1_struct_0(k11_petri(A))) ) => m1_subset_1(k15_petri(A,B),u1_struct_0(A)) ) )).
fof(dt_k15_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => ( ~ v1_xboole_0(k15_polyform(A,B)) & v1_finset_1(k15_polyform(A,B)) ) ) )).
fof(dt_k15_pralg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k15_pralg_1(A,B)) & v1_funct_1(k15_pralg_1(A,B)) ) ) )).
fof(dt_k15_pre_poly,axiom,( ! [A] : m1_subset_1(k15_pre_poly(A),k1_zfmisc_1(k14_pre_poly(A))) )).
fof(dt_k15_prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) & m1_subset_1(B,k4_finseq_1(k14_prvect_1(A))) ) => ( ~ v2_struct_0(k15_prvect_1(A,B)) & v13_algstr_0(k15_prvect_1(A,B)) & v2_rlvect_1(k15_prvect_1(A,B)) & v3_rlvect_1(k15_prvect_1(A,B)) & v4_rlvect_1(k15_prvect_1(A,B)) & l2_algstr_0(k15_prvect_1(A,B)) ) ) )).
fof(dt_k15_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k15_pscomp_1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k15_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k15_qc_lang1(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k15_quatern2,axiom,( v36_algstr_0(k15_quatern2) & l6_algstr_0(k15_quatern2) )).
fof(dt_k15_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v1_funct_1(k15_quofield(A)) & v1_funct_2(k15_quofield(A),k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)) & m1_subset_1(k15_quofield(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)))) ) ) )).
fof(dt_k15_rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => m2_finseq_1(k15_rfunct_3(A,B),k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k15_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ( v1_funct_1(k15_ringcat1(A)) & v1_funct_2(k15_ringcat1(A),k10_ringcat1(A),A) & m1_subset_1(k15_ringcat1(A),k1_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A),A))) ) ) )).
fof(dt_k15_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k15_rlvect_2(A)) & v1_funct_2(k15_rlvect_2(A),k2_zfmisc_1(k1_numbers,k11_rlvect_2(A)),k11_rlvect_2(A)) & m1_subset_1(k15_rlvect_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k11_rlvect_2(A)),k11_rlvect_2(A)))) ) ) )).
fof(dt_k15_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k15_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k15_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => m2_finseq_2(k15_rvsum_1(A,B,C),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k15_scm_comp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_dtconstr(k1_scm_comp)) & v7_ordinal1(B) ) => ( v1_relat_1(k15_scm_comp(A,B)) & v5_relat_1(k15_scm_comp(A,B),u1_compos_1(k1_ami_3)) & v1_funct_1(k15_scm_comp(A,B)) & v5_ordinal1(k15_scm_comp(A,B)) & v1_finset_1(k15_scm_comp(A,B)) ) ) )).
fof(dt_k15_scmfsa_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => m1_subset_1(k15_scmfsa_2(A,B,C),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k15_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => m1_subset_1(k15_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k15_scmpds_i,axiom,( m1_subset_1(k15_scmpds_i,k4_ordinal1) )).
fof(dt_k15_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_2(k15_seq_4(A),k2_numbers,k12_seq_4(A)) ) )).
fof(dt_k15_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => m1_subset_1(k15_sin_cos(A),k2_numbers) ) )).
fof(dt_k15_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v1_relat_1(k15_substut1(A)) & v1_funct_1(k15_substut1(A)) ) ) )).
fof(dt_k15_supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ~ v1_xboole_0(k15_supinf_2(A)) & m1_subset_1(k15_supinf_2(A),k1_zfmisc_1(k6_numbers)) ) ) )).
fof(dt_k15_toprealb,axiom,( v1_funct_1(k15_toprealb) & v1_funct_2(k15_toprealb,u1_struct_0(k11_toprealb(k10_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))))) & m1_subset_1(k15_toprealb,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_toprealb(k10_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))))))) )).
fof(dt_k15_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k15_toprealc(A)) & v1_funct_2(k15_toprealc(A),u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(A))),u1_struct_0(k15_euclid(A))) & m1_subset_1(k15_toprealc(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(A))),u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_k15_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k15_trees_3(A)) & v1_funct_1(k15_trees_3(A)) & v1_finseq_1(k15_trees_3(A)) ) ) )).
fof(dt_k15_turing_1,axiom,( v1_turing_1(k15_turing_1) & l1_turing_1(k15_turing_1) )).
fof(dt_k15_twoscomp,axiom,( v1_funct_1(k15_twoscomp) & v1_funct_2(k15_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k15_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k15_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k15_valued_1(A,B,C,D)) & m1_subset_1(k15_valued_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k15_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ( v1_relat_1(k15_valued_2(A)) & v1_funct_1(k15_valued_2(A)) ) ) )).
fof(dt_k15_zf_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) & m1_subset_1(C,k1_zf_lang) & v1_zf_lang(D) & m1_finseq_1(D,k4_ordinal1) ) => ( v1_zf_lang(k15_zf_lang(A,B,C,D)) & m2_finseq_1(k15_zf_lang(A,B,C,D),k4_ordinal1) ) ) )).
fof(dt_k15_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ~ v2_struct_0(k15_zmodul02(A)) & v7_vectsp_1(k15_zmodul02(A),k1_int_3) & l1_vectsp_1(k15_zmodul02(A),k1_int_3) ) ) )).
fof(dt_k16_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => m1_subset_1(k16_abcmiz_1(A),u4_struct_0(A)) ) )).
fof(dt_k16_abcmiz_a,axiom,( m3_abcmiz_1(k16_abcmiz_a,k27_abcmiz_1) )).
fof(dt_k16_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & v7_ordinal1(C) & m1_subset_1(D,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(E,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) => m2_finseq_2(k16_aescip_1(A,B,C,D,E),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) )).
fof(dt_k16_algstr_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( v1_funct_1(k16_algstr_4(A,B)) & v1_funct_2(k16_algstr_4(A,B),k11_algstr_4(A,B),u1_struct_0(k14_algstr_4(A))) & m1_subset_1(k16_algstr_4(A,B),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,B),u1_struct_0(k14_algstr_4(A))))) ) ) )).
fof(dt_k16_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_unialg_1(A) & v6_aofa_000(A) & l1_unialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k16_aofa_000(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k16_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) & m4_aofa_a00(F,A,B,C,D,E) ) => m1_msafree4(k16_aofa_a00(A,B,C,D,E,F),u1_struct_0(A),k13_msafree(A,B),k1_msafree4(u1_struct_0(A),k13_msafree(A,B),E)) ) )).
fof(dt_k16_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => ( v1_funct_1(k16_aofa_i00(A,B,C)) & v1_funct_2(k16_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k16_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k16_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) & m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) => m1_subset_1(k16_aofa_l00(A,B,C,D,E),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) ) )).
fof(dt_k16_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k16_bilinear(A,B,C,D)) & v1_funct_2(k16_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)) & v1_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v3_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & m1_subset_1(k16_bilinear(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)))) ) ) )).
fof(dt_k16_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) ) => ( v1_pre_topc(k16_borsuk_1(A,B,C)) & v1_borsuk_1(k16_borsuk_1(A,B,C),k11_borsuk_1(A,k15_borsuk_1(A,B,C))) & m1_pre_topc(k16_borsuk_1(A,B,C),k11_borsuk_1(A,k15_borsuk_1(A,B,C))) ) ) )).
fof(dt_k16_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) & m1_subset_1(B,u1_struct_0(k8_toprealb(2))) & m1_borsuk_2(D,k8_toprealb(2),A,B) ) => ( v1_funct_1(k16_borsuk_7(A,B,C,D)) & v1_funct_2(k16_borsuk_7(A,B,C,D),u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)) & m1_subset_1(k16_borsuk_7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k16_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & m1_eqrel_1(C,A) ) => ( v1_funct_1(k16_bvfunc_1(A,B,C)) & v1_funct_2(k16_bvfunc_1(A,B,C),A,k5_margrel1) & m1_subset_1(k16_bvfunc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k16_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_cat_1(k16_cat_4(A,B,C,D),A,k2_cat_4(A,k2_cat_4(A,B,C),D),k2_cat_4(A,B,k2_cat_4(A,C,D))) ) )).
fof(dt_k16_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k12_cat_5(A,B))) ) => m1_subset_1(k16_cat_5(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k16_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ( v1_funct_1(k16_cat_6(A)) & v1_funct_2(k16_cat_6(A),k1_cat_6(A),k6_cat_6(A)) & m1_subset_1(k16_cat_6(A),k1_zfmisc_1(k2_zfmisc_1(k1_cat_6(A),k6_cat_6(A)))) ) ) )).
fof(dt_k16_comput_1,axiom,( v1_relat_1(k16_comput_1) & v1_funct_1(k16_comput_1) & v7_comput_1(k16_comput_1) & v8_comput_1(k16_comput_1,2) )).
fof(dt_k16_csspace,axiom,( ~ v2_struct_0(k16_csspace) & l1_csspace(k16_csspace) )).
fof(dt_k16_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k16_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k16_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) ) => m1_subset_1(k16_domain_1(A,B,C,D),B) ) )).
fof(dt_k16_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_lang1(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => m2_finseq_1(k16_dtconstr(A,B),u1_struct_0(A)) ) )).
fof(dt_k16_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k16_dualsp01(A)) & v1_funct_2(k16_dualsp01(A),k11_dualsp01(A),k1_numbers) & m1_subset_1(k16_dualsp01(A),k1_zfmisc_1(k2_zfmisc_1(k11_dualsp01(A),k1_numbers))) ) ) )).
fof(dt_k16_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k16_e_siec(A)) ) )).
fof(dt_k16_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k16_euclid(A),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k16_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k16_facirc_1(A,B,C),k14_facirc_1(A,B,C)) & v4_msafree2(k16_facirc_1(A,B,C),k14_facirc_1(A,B,C)) & v4_circcomb(k16_facirc_1(A,B,C),k14_facirc_1(A,B,C)) & v6_circcomb(k16_facirc_1(A,B,C),k14_facirc_1(A,B,C)) & l3_msualg_1(k16_facirc_1(A,B,C),k14_facirc_1(A,B,C)) ) )).
fof(dt_k16_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k16_ff_siec(A)) ) )).
fof(dt_k16_finseq_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k16_finseq_1(A,B)) & v1_funct_1(k16_finseq_1(A,B)) & v1_finseq_1(k16_finseq_1(A,B)) ) ) )).
fof(dt_k16_fomodel0,axiom,( v1_funct_1(k16_fomodel0) & v1_funct_2(k16_fomodel0,k2_numbers,k2_numbers) & m1_subset_1(k16_fomodel0,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k16_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ~ v1_xboole_0(k16_fomodel1(A)) & m1_subset_1(k16_fomodel1(A),k1_zfmisc_1(k15_fomodel1(A))) ) ) )).
fof(dt_k16_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k16_fomodel2(A,B)) & v1_funct_2(k16_fomodel2(A,B),k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel2(A,B),k32_fomodel1(A)),k5_margrel1) & m1_subset_1(k16_fomodel2(A,B),k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel2(A,B),k32_fomodel1(A)),k5_margrel1))) ) ) )).
fof(dt_k16_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & v1_fomodel3(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k16_fomodel3(A,B,C,D,E)) & v1_funct_2(k16_fomodel3(A,B,C,D,E),k8_eqrel_1(A,C),k8_eqrel_1(B,D)) & m1_subset_1(k16_fomodel3(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A,C),k8_eqrel_1(B,D)))) ) ) )).
fof(dt_k16_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k16_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k16_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_freealg(B) ) => m1_subset_1(k16_freealg(A,B),k1_zfmisc_1(u1_struct_0(k15_freealg(A,B)))) ) )).
fof(dt_k16_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k16_ftacell1(A,B,C,D,E),k3_msafree2(k13_ftacell1(A,B,C,D,E))) )).
fof(dt_k16_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,A) & m1_subset_1(E,A) ) => m1_subset_1(k16_funcop_1(A,B,C,D,E),A) ) )).
fof(dt_k16_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k16_funct_3(A,B,C,D,E,F)) & v1_funct_2(k16_funct_3(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & m1_subset_1(k16_funct_3(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)))) ) ) )).
fof(dt_k16_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => v1_rat_1(k16_gaussint(A)) ) )).
fof(dt_k16_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => v1_card_1(k16_glib_000(A)) ) )).
fof(dt_k16_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ( ~ v1_abian(k16_glib_001(A,B,C)) & m1_subset_1(k16_glib_001(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k16_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => m3_glib_004(k16_glib_004(A),A) ) )).
fof(dt_k16_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k3_finseq_2(k1_numbers)) & v7_ordinal1(B) & v7_ordinal1(C) ) => v1_xreal_0(k16_graphsp(A,B,C)) ) )).
fof(dt_k16_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v7_ordinal1(B) & v1_int_2(B) & m1_group_2(C,A) & m1_subset_1(D,u1_struct_0(C)) ) => ( v1_funct_1(k16_group_10(A,B,C,D)) & v1_funct_2(k16_group_10(A,B,C,D),k15_group_10(A,B),k15_group_10(A,B)) & m1_subset_1(k16_group_10(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_group_10(A,B),k15_group_10(A,B)))) ) ) )).
fof(dt_k16_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => m1_subset_1(k16_group_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k16_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) & m1_group_9(D,A,B) ) => m1_subset_1(k16_group_9(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k16_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) => ( v1_funct_1(k16_hahnban1(A,B)) & v1_funct_2(k16_hahnban1(A,B),u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(k16_hahnban1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k16_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_funct_1(k16_idea_1(A,B)) & v1_funct_2(k16_idea_1(A,B),k14_idea_1,k14_idea_1) & m1_subset_1(k16_idea_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) ) )).
fof(dt_k16_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k16_ideal_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k16_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m5_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) & m5_index_1(D,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B),k7_isocat_1(B)) ) => m5_index_1(k16_index_1(A,B,C,D),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) ) )).
fof(dt_k16_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m2_interva1(B,A) & m2_interva1(C,A) ) => m2_interva1(k16_interva1(A,B,C),A) ) )).
fof(dt_k16_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k16_jordan5d(A)) ) )).
fof(dt_k16_lattad_1,axiom,( v1_funct_1(k16_lattad_1) & v1_funct_2(k16_lattad_1,k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)) & m1_subset_1(k16_lattad_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(1,2,3),k1_enumset1(1,2,3)),k1_enumset1(1,2,3)))) )).
fof(dt_k16_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => m1_subset_1(k16_lattice3(A,B),u1_struct_0(A)) ) )).
fof(dt_k16_lattice5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k16_lattice5(A)) & v1_funct_2(k16_lattice5(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_lattice5(k16_lattice5(A),u1_struct_0(A),A) & v2_lattice5(k16_lattice5(A),u1_struct_0(A),A) & v3_lattice5(k16_lattice5(A),u1_struct_0(A),A) & m1_subset_1(k16_lattice5(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k16_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => m2_lexbfs(k16_lexbfs(A),A) ) )).
fof(dt_k16_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v1_funct_1(k16_lmod_7(A,B,C)) & v1_funct_2(k16_lmod_7(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k13_lmod_7(A,B,C))),u1_struct_0(k13_lmod_7(A,B,C))) & m1_subset_1(k16_lmod_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k13_lmod_7(A,B,C))),u1_struct_0(k13_lmod_7(A,B,C))))) ) ) )).
fof(dt_k16_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k16_lopban_1(A,B)) & l1_normsp_1(k16_lopban_1(A,B)) ) ) )).
fof(dt_k16_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k16_lpspacc1(A,B,C)) & l1_clvect_1(k16_lpspacc1(A,B,C)) ) ) )).
fof(dt_k16_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => m2_subset_1(k16_lpspace1(A,B,C),k1_zfmisc_1(k9_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) ) )).
fof(dt_k16_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_partfun1(k3_finseq_2(A),A)) ) => m2_finseq_1(k16_margrel1(A,B),k4_partfun1(k3_finseq_2(A),A)) ) )).
fof(dt_k16_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(B)) ) => ( v1_matrix_0(k16_matrix_0(A,B,C)) & m2_finseq_1(k16_matrix_0(A,B,C),k3_finseq_2(B)) ) ) )).
fof(dt_k16_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,A,B,B) & m1_finseq_1(C,k3_finseq_2(A)) ) => ( v2_matrixj1(k16_matrixj1(A,B,C),A) & m2_finseq_1(k16_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k16_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => m1_subset_1(k16_mesfunc1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k16_metric_3,axiom,( v1_funct_1(k16_metric_3) & v1_funct_2(k16_metric_3,k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(k16_metric_3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers))) )).
fof(dt_k16_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k16_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k16_mod_2,axiom,( m1_subset_1(k16_mod_2,k1_enumset1(k5_numbers,1,2)) )).
fof(dt_k16_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k3_modal_1) => m1_subset_1(k16_modal_1(A),k6_modal_1) ) )).
fof(dt_k16_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_1(k16_modelc_1(A)) & m2_finseq_1(k16_modelc_1(A),k4_ordinal1) ) ) )).
fof(dt_k16_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v1_funct_1(k16_modelc_3(A,B,C)) & v1_funct_2(k16_modelc_3(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k16_modelc_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k16_monoid_0,axiom,( ! [A] : ( v22_algstr_0(k16_monoid_0(A)) & v4_vectsp_1(k16_monoid_0(A)) & m1_monoid_0(k16_monoid_0(A),k15_monoid_0(A)) ) )).
fof(dt_k16_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k16_monoid_1(A,B),u1_struct_0(k13_monoid_1(A))) ) )).
fof(dt_k16_msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m2_pboole(D,u1_struct_0(A),k13_msafree(A,B),C) & m1_subset_1(E,u1_struct_0(k5_msafree(A,B))) ) => m1_subset_1(k16_msafree(A,B,C,D,E),k3_card_3(C)) ) )).
fof(dt_k16_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),D,C)) & m1_subset_1(F,k3_msualg_1(A,B,k1_msafree3(A,D))) ) => v7_ordinal1(k16_msafree5(A,B,C,D,E,F)) ) )).
fof(dt_k16_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_funct_1(k16_msualg_2(A,B)) & v1_funct_2(k16_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m1_subset_1(k16_msualg_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)))) ) ) )).
fof(dt_k16_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m1_subset_1(E,u1_struct_0(A)) ) => ( v3_relat_2(k16_msualg_4(A,B,C,D,E)) & v8_relat_2(k16_msualg_4(A,B,C,D,E)) & v1_partfun1(k16_msualg_4(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(k16_msualg_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),E)))) ) ) )).
fof(dt_k16_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => m1_lattice4(k16_openlatt(A),A,k15_openlatt(A)) ) )).
fof(dt_k16_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k16_osafree(A,B),A) & v4_msualg_1(k16_osafree(A,B),A) & v12_osalg_1(k16_osafree(A,B),A) & v13_osalg_1(k16_osafree(A,B),A) & l3_msualg_1(k16_osafree(A,B),A) ) ) )).
fof(dt_k16_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k16_osalg_2(A,B)) & v3_lattices(k16_osalg_2(A,B)) & v10_lattices(k16_osalg_2(A,B)) & l3_lattices(k16_osalg_2(A,B)) ) ) )).
fof(dt_k16_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( v12_osalg_1(k16_osalg_4(A,B,C),A) & l3_msualg_1(k16_osalg_4(A,B,C),A) ) ) )).
fof(dt_k16_polyform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) & m1_subset_1(C,k5_polyform(A,k6_xcmplx_0(B,1))) & m1_subset_1(D,u1_struct_0(k14_polyform(A,B))) ) => m2_finseq_1(k16_polyform(A,B,C,D),u1_struct_0(k2_bspace)) ) )).
fof(dt_k16_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k16_pralg_1(A,B,C)) & v1_funct_1(k16_pralg_1(A,B,C)) ) ) )).
fof(dt_k16_pre_poly,axiom,( ! [A] : m2_subset_1(k16_pre_poly(A),k14_pre_poly(A),k15_pre_poly(A)) )).
fof(dt_k16_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => m1_prvect_1(k16_prvect_1(A),k14_prvect_1(A)) ) )).
fof(dt_k16_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k16_pscomp_1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k16_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k16_qc_lang1(A,B),k6_qc_lang1(A)) ) )).
fof(dt_k16_quatern2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_quatern2)) => m1_subset_1(k16_quatern2(A),u1_struct_0(k15_quatern2)) ) )).
fof(dt_k16_quaterni,axiom,( v1_quaterni(k16_quaterni) )).
fof(dt_k16_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v1_funct_1(k16_quofield(A)) & v1_funct_2(k16_quofield(A),k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)) & m1_subset_1(k16_quofield(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)),k7_quofield(A)))) ) ) )).
fof(dt_k16_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k3_rfunct_3(A,k1_numbers)) & m1_finseq_1(C,k1_numbers) ) => m2_finseq_1(k16_rfunct_3(A,B,C),k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k16_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ( v1_funct_1(k16_ringcat1(A)) & m1_subset_1(k16_ringcat1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_ringcat1(A),k10_ringcat1(A)),k10_ringcat1(A)))) ) ) )).
fof(dt_k16_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => l1_rlvect_1(k16_rlvect_2(A)) ) )).
fof(dt_k16_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k16_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k16_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => v1_xcmplx_0(k16_rvsum_1(A)) ) )).
fof(dt_k16_scm_comp,axiom,( ! [A] : ( m1_subset_1(A,k6_dtconstr(k1_scm_comp)) => m1_subset_1(k16_scm_comp(A),k4_ordinal1) ) )).
fof(dt_k16_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => m1_subset_1(k16_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k16_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => m1_subset_1(k16_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k16_seq_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) ) => m2_finseq_2(k16_seq_4(A,B),k2_numbers,k12_seq_4(A)) ) )).
fof(dt_k16_sin_cos,axiom,( v1_funct_1(k16_sin_cos) & v1_funct_2(k16_sin_cos,k1_numbers,k1_numbers) & m1_subset_1(k16_sin_cos,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k16_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k16_substut1(A)) ) )).
fof(dt_k16_supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v1_funct_1(k16_supinf_2(A)) & v1_funct_2(k16_supinf_2(A),k4_ordinal1,k6_numbers) & m1_subset_1(k16_supinf_2(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k16_toprealc,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_funct_1(k16_toprealc(A,B)) & v1_funct_2(k16_toprealc(A,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k16_toprealc(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k16_turing_1,axiom,( v1_funct_1(k16_turing_1) & v1_funct_2(k16_turing_1,k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(k16_turing_1,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(4),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) )).
fof(dt_k16_twoscomp,axiom,( v1_funct_1(k16_twoscomp) & v1_funct_2(k16_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k16_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k16_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k16_valued_2(A,B,C)) & m1_subset_1(k16_valued_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k16_zf_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) & m1_subset_1(C,k1_zf_lang) & v1_zf_lang(D) & m1_finseq_1(D,k4_ordinal1) ) => ( v1_zf_lang(k16_zf_lang(A,B,C,D)) & m2_finseq_1(k16_zf_lang(A,B,C,D),k4_ordinal1) ) ) )).
fof(dt_k16_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_int_3) & v9_vectsp_1(A,k1_int_3) & v10_vectsp_1(A,k1_int_3) & v11_vectsp_1(A,k1_int_3) & l1_vectsp_1(A,k1_int_3) ) => ( v1_funct_1(k16_zmodul02(A)) & v1_funct_2(k16_zmodul02(A),k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k16_zmodul02(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k17_abcmiz_a,axiom,( ! [A] : ( m1_finseq_1(A,k2_abcmiz_1) => m1_trees_4(k17_abcmiz_a(A),k3_card_3(u3_msualg_1(k27_abcmiz_1,k1_msafree3(k27_abcmiz_1,k28_abcmiz_1(k27_abcmiz_1)))),k34_abcmiz_1(k27_abcmiz_1)) ) )).
fof(dt_k17_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & v7_ordinal1(C) & m1_subset_1(D,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(E,k4_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) => m2_finseq_2(k17_aescip_1(A,B,C,D,E),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) )).
fof(dt_k17_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & v7_ordinal1(D) & ~ v8_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k11_algstr_4(A,C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,k11_algstr_4(A,D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,D),u1_struct_0(B)))) ) => ( v1_funct_1(k17_algstr_4(A,B,C,D,E,F)) & v1_funct_2(k17_algstr_4(A,B,C,D,E,F),k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),k11_algstr_4(A,D)),k1_tarski(C)),u1_struct_0(B)) & m1_subset_1(k17_algstr_4(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,C),k11_algstr_4(A,D)),k1_tarski(C)),u1_struct_0(B)))) ) ) )).
fof(dt_k17_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => m1_subset_1(k17_aofa_000(A,B,C,D,E),u1_struct_0(A)) ) )).
fof(dt_k17_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l1_aofa_a00(C,A) & l4_aofa_a00(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) & m4_aofa_a00(F,A,B,C,D,E) ) => m2_pboole(k17_aofa_a00(A,B,C,D,E,F),u1_struct_0(A),k10_aofa_a00(A,C,E,F),u3_msualg_1(A,C)) ) )).
fof(dt_k17_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_relat_1(k17_aofa_i00(A,B,C)) & v1_funct_1(k17_aofa_i00(A,B,C)) ) ) )).
fof(dt_k17_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) & v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) & m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) & m1_subset_1(I,k4_aofa_l00(B,C,D)) ) => m1_subset_1(k17_aofa_l00(A,B,C,D,E,F,G,H,I),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) ) )).
fof(dt_k17_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k17_bilinear(A,B,C,D)) & v1_funct_2(k17_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)) & v1_bilinear(k17_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v2_bilinear(k17_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v3_bilinear(k17_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v4_bilinear(k17_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & m1_subset_1(k17_bilinear(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)))) ) ) )).
fof(dt_k17_binop_2,axiom,( v1_funct_1(k17_binop_2) & v1_funct_2(k17_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m1_subset_1(k17_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers))) )).
fof(dt_k17_borsuk_1,axiom,( l1_pre_topc(k17_borsuk_1) )).
fof(dt_k17_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & m1_eqrel_1(C,A) ) => ( v1_funct_1(k17_bvfunc_1(A,B,C)) & v1_funct_2(k17_bvfunc_1(A,B,C),A,k5_margrel1) & m1_subset_1(k17_bvfunc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k17_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_cat_1(k17_cat_4(A,B,C,D),A,k2_cat_4(A,B,k2_cat_4(A,C,D)),k2_cat_4(A,k2_cat_4(A,B,C),D)) ) )).
fof(dt_k17_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k12_cat_5(A,B))) ) => m2_subset_1(k17_cat_5(A,B,C),u4_struct_0(A),k10_cat_5(A,B)) ) )).
fof(dt_k17_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ( v1_funct_1(k17_cat_6(A)) & v1_funct_2(k17_cat_6(A),k6_cat_6(A),k1_cat_6(A)) & m1_subset_1(k17_cat_6(A),k1_zfmisc_1(k2_zfmisc_1(k6_cat_6(A),k1_cat_6(A)))) ) ) )).
fof(dt_k17_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k16_coh_sp(A)) => m1_subset_1(k17_coh_sp(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k17_comput_1,axiom,( v1_relat_1(k17_comput_1) & v1_funct_1(k17_comput_1) & v7_comput_1(k17_comput_1) & v8_comput_1(k17_comput_1,1) )).
fof(dt_k17_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_clvect_1(B,A) ) => m1_subset_1(k17_convex4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k17_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k17_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k17_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) ) => m1_subset_1(k17_domain_1(A,B,C,D),C) ) )).
fof(dt_k17_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_lang1(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => m2_finseq_1(k17_dtconstr(A,B),u1_struct_0(A)) ) )).
fof(dt_k17_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k17_dualsp01(A)) & l1_normsp_1(k17_dualsp01(A)) ) ) )).
fof(dt_k17_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k17_e_siec(A)) ) )).
fof(dt_k17_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( v1_funct_1(k17_ens_1(A,B,C)) & v1_funct_2(k17_ens_1(A,B,C),k2_cat_1(A,B,k3_graph_1(A,C)),k2_cat_1(A,B,k4_graph_1(A,C))) & m1_subset_1(k17_ens_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,B,k3_graph_1(A,C)),k2_cat_1(A,B,k4_graph_1(A,C))))) ) ) )).
fof(dt_k17_euclid,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_xreal_0(k17_euclid(A)) ) )).
fof(dt_k17_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k17_facirc_1(A,B,C),u1_struct_0(k15_facirc_1(A,B,C)),k3_msafree2(k15_facirc_1(A,B,C))) )).
fof(dt_k17_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k17_ff_siec(A)) ) )).
fof(dt_k17_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_finseq_1(C,A) ) => m2_finseq_1(k17_finseq_1(A,B,C),A) ) )).
fof(dt_k17_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v1_relat_1(k17_fomodel0(A,B,C)) & v1_funct_1(k17_fomodel0(A,B,C)) & v1_finseq_1(k17_fomodel0(A,B,C)) ) ) )).
fof(dt_k17_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l1_fomodel1(A) ) => ( ~ v1_xboole_0(k17_fomodel1(A)) & m1_subset_1(k17_fomodel1(A),k1_zfmisc_1(k15_fomodel1(A))) ) ) )).
fof(dt_k17_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_fomodel2(A,B)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) & m1_subset_1(E,k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m1_subset_1(k17_fomodel2(A,B,C,D,E),k5_margrel1) ) )).
fof(dt_k17_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k17_fomodel3(A,B)) & v1_funct_2(k17_fomodel3(A,B),A,k8_eqrel_1(A,B)) & m1_subset_1(k17_fomodel3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k8_eqrel_1(A,B)))) ) ) )).
fof(dt_k17_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k17_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k17_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_freealg(B) ) => m1_freealg(k17_freealg(A,B),k15_freealg(A,B)) ) )).
fof(dt_k17_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k17_ftacell1(A,B,C,D,E),k3_msafree2(k13_ftacell1(A,B,C,D,E))) )).
fof(dt_k17_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( v1_funct_1(k17_funct_3(A,B,C,D)) & v1_funct_2(k17_funct_3(A,B,C,D),D,B) & m1_subset_1(k17_funct_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(D,B))) ) ) )).
fof(dt_k17_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k17_gfacirc1(A,B,C)) & ~ v11_struct_0(k17_gfacirc1(A,B,C)) & v1_msualg_1(k17_gfacirc1(A,B,C)) & v1_circcomb(k17_gfacirc1(A,B,C)) & v2_circcomb(k17_gfacirc1(A,B,C)) & v3_circcomb(k17_gfacirc1(A,B,C)) & l1_msualg_1(k17_gfacirc1(A,B,C)) ) )).
fof(dt_k17_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => m1_subset_1(k17_glib_000(A),k4_ordinal1) ) )).
fof(dt_k17_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) ) => ( ~ v1_abian(k17_glib_001(A,B,C)) & m1_subset_1(k17_glib_001(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k17_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => m1_subset_1(k17_glib_004(A),k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k17_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k3_finseq_2(k1_numbers)) & v7_ordinal1(B) ) => m2_finseq_2(k17_graphsp(A,B),k1_numbers,k3_finseq_2(k1_numbers)) ) )).
fof(dt_k17_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v7_ordinal1(B) & v1_int_2(B) & m1_group_2(C,A) ) => ( v1_funct_1(k17_group_10(A,B,C)) & v1_funct_2(k17_group_10(A,B,C),u1_struct_0(C),k1_funct_2(k15_group_10(A,B),k15_group_10(A,B))) & v1_group_10(k17_group_10(A,B,C),C,k15_group_10(A,B)) & m1_subset_1(k17_group_10(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(k15_group_10(A,B),k15_group_10(A,B))))) ) ) )).
fof(dt_k17_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => v1_card_1(k17_group_2(A,B)) ) )).
fof(dt_k17_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) & m1_group_9(D,A,B) ) => ( v2_group_9(k17_group_9(A,B,C,D),A) & m1_group_9(k17_group_9(A,B,C,D),A,B) ) ) )).
fof(dt_k17_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,k4_ordinal1,B,6) & m1_finseq_1(D,k3_finseq_2(k4_ordinal1)) ) => ( v1_relat_1(k17_idea_1(A,B,C,D)) & v1_funct_1(k17_idea_1(A,B,C,D)) & v1_finseq_1(k17_idea_1(A,B,C,D)) ) ) )).
fof(dt_k17_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k17_ideal_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k17_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m2_interva1(B,A) & m2_interva1(C,A) ) => m2_interva1(k17_interva1(A,B,C),A) ) )).
fof(dt_k17_lattad_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) & v7_lattad_1(B,A) & v8_lattad_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_lattices(k17_lattad_1(A,B)) & m1_lattad_1(k17_lattad_1(A,B),A) ) ) )).
fof(dt_k17_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_finsub_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => ( v1_finset_1(k17_lexbfs(A,B,C,D)) & m1_subset_1(k17_lexbfs(A,B,C,D),k1_zfmisc_1(B)) ) ) )).
fof(dt_k17_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v7_vectsp_1(k17_lmod_7(A,B,C),A) & l1_vectsp_1(k17_lmod_7(A,B,C),A) ) ) )).
fof(dt_k17_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k17_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k17_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => m1_subset_1(k17_lpspacc1(A,B,C,D),k1_zfmisc_1(k13_lpspacc1(A,B,C))) ) )).
fof(dt_k17_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k17_lpspace1(A,B,C)) & v1_funct_2(k17_lpspace1(A,B,C),k2_zfmisc_1(k1_numbers,k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)) & m1_subset_1(k17_lpspace1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k14_lpspace1(A,B,C)),k14_lpspace1(A,B,C)))) ) ) )).
fof(dt_k17_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_margrel1(A) ) => v7_ordinal1(k17_margrel1(A)) ) )).
fof(dt_k17_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => ( v1_matrix_0(k17_matrix_0(A,B,C)) & m2_finseq_1(k17_matrix_0(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k17_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,A,B,B) & m1_finseq_1(D,k3_finseq_2(A)) & v1_matrix_0(E) & v2_matrix_0(E,A,C,C) & m1_finseq_1(E,k3_finseq_2(A)) ) => ( v2_matrixj1(k17_matrixj1(A,B,C,D,E),A) & m2_finseq_1(k17_matrixj1(A,B,C,D,E),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k17_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => m1_subset_1(k17_mesfunc1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k17_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k17_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k17_mod_2,axiom,( m1_subset_1(k17_mod_2,k1_enumset1(k5_numbers,1,2)) )).
fof(dt_k17_modal_1,axiom,( m1_subset_1(k17_modal_1,k6_modal_1) )).
fof(dt_k17_modelc_1,axiom,( ! [A] : ( v1_modelc_1(k17_modelc_1(A)) & m2_finseq_1(k17_modelc_1(A),k4_ordinal1) ) )).
fof(dt_k17_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_xreal_0(k17_modelc_3(A,B,C)) ) )).
fof(dt_k17_monoid_0,axiom,( ! [A] : ( ~ v2_struct_0(k17_monoid_0(A)) & v15_algstr_0(k17_monoid_0(A)) & m5_monoid_0(k17_monoid_0(A),k12_monoid_0(A),k15_monoid_0(A)) ) )).
fof(dt_k17_monoid_1,axiom,( ! [A] : ( ~ v2_struct_0(k17_monoid_1(A)) & v22_algstr_0(k17_monoid_1(A)) & m3_monoid_0(k17_monoid_1(A),k13_monoid_1(A)) ) )).
fof(dt_k17_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(k5_msafree(A,B))) ) => m1_subset_1(k17_msafree(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k17_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),D,C)) & m1_subset_1(F,k3_msualg_1(A,B,k1_msafree3(A,D))) ) => ( v8_msafree5(k17_msafree5(A,B,C,D,E,F),A,D,k1_msafree3(A,D),C,E) & m1_subset_1(k17_msafree5(A,B,C,D,E,F),k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) ) )).
fof(dt_k17_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k17_msualg_2(A,B)) & v3_lattices(k17_msualg_2(A,B)) & v10_lattices(k17_msualg_2(A,B)) & l3_lattices(k17_msualg_2(A,B)) ) ) )).
fof(dt_k17_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) => ( v2_msualg_4(k17_msualg_4(A,B,C,D),A,B) & v3_msualg_4(k17_msualg_4(A,B,C,D),A,B) & m1_msualg_4(k17_msualg_4(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k17_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) ) => ( v1_pre_topc(k17_openlatt(A)) & l1_pre_topc(k17_openlatt(A)) ) ) )).
fof(dt_k17_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) ) => m1_subset_1(k17_osafree(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) ) )).
fof(dt_k17_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ( v1_funct_1(k17_osalg_4(A,B,C,D)) & v1_funct_2(k17_osalg_4(A,B,C,D),k1_funct_1(u3_msualg_1(A,B),D),k6_osalg_4(A,B,C,D)) & m1_subset_1(k17_osalg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k6_osalg_4(A,B,C,D)))) ) ) )).
fof(dt_k17_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) ) => ( v12_pcs_0(k17_pcs_0(A,B)) & l2_pcs_0(k17_pcs_0(A,B)) ) ) )).
fof(dt_k17_polyform,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) & m1_subset_1(C,u1_struct_0(k14_polyform(A,B))) ) => m1_subset_1(k17_polyform(A,B,C),u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1)))) ) )).
fof(dt_k17_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k17_pre_poly(A),k15_pre_poly(A)) & v1_relat_2(k17_pre_poly(A)) & v4_relat_2(k17_pre_poly(A)) & v8_relat_2(k17_pre_poly(A)) & m1_subset_1(k17_pre_poly(A),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_k17_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k17_pscomp_1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k17_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m2_finseq_1(k17_qc_lang1(A,B),k2_qc_lang1(A)) ) )).
fof(dt_k17_quatern2,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => m1_subset_1(k17_quatern2(A,B),k1_quaterni) ) )).
fof(dt_k17_quaterni,axiom,( v1_quaterni(k17_quaterni) )).
fof(dt_k17_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v1_funct_1(k17_quofield(A)) & v1_funct_2(k17_quofield(A),k7_quofield(A),k7_quofield(A)) & m1_subset_1(k17_quofield(A),k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)))) ) ) )).
fof(dt_k17_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k3_rfunct_3(A,k1_numbers)) & m1_subset_1(C,A) ) => m2_finseq_1(k17_rfunct_3(A,B,C),k1_numbers) ) )).
fof(dt_k17_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => l1_cat_1(k17_ringcat1(A)) ) )).
fof(dt_k17_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v5_robbins1(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k17_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k17_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m1_subset_1(k17_rvsum_1(A),k2_numbers) ) )).
fof(dt_k17_scm_comp,axiom,( ! [A] : ( m1_subset_1(A,k4_dtconstr(k1_scm_comp)) => m1_subset_1(k17_scm_comp(A),k4_ordinal1) ) )).
fof(dt_k17_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => m1_subset_1(k17_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k17_scmpds_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => m1_subset_1(k17_scmpds_2(A,B),k4_ordinal1) ) )).
fof(dt_k17_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k12_seq_4(A)) ) => m2_finseq_2(k17_seq_4(A,B,C),k2_numbers,k12_seq_4(A)) ) )).
fof(dt_k17_substut1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k6_qc_lang1(A)) & m1_finseq_1(C,k2_qc_lang1(A)) & m1_subset_1(D,k1_substut1(A)) ) => m1_subset_1(k17_substut1(A,B,C,D),k16_substut1(A)) ) )).
fof(dt_k17_supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => m1_subset_1(k17_supinf_2(A),k6_numbers) ) )).
fof(dt_k17_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & ~ v3_xxreal_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_toprealb(k2_xcmplx_0(A,1),k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))),B)))) ) => m1_subset_1(k17_toprealc(A,B,C),k1_zfmisc_1(u1_struct_0(k7_toprealb(k2_xcmplx_0(A,1),k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))),B)))) ) )).
fof(dt_k17_turing_1,axiom,( v1_turing_1(k17_turing_1) & l1_turing_1(k17_turing_1) )).
fof(dt_k17_twoscomp,axiom,( v1_funct_1(k17_twoscomp) & v1_funct_2(k17_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k17_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k17_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k17_valued_2(A,B,C)) & m1_subset_1(k17_valued_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k17_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => m2_subset_1(k17_zf_lang(A),k4_ordinal1,k1_zf_lang) ) )).
fof(dt_k17_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_int_3) & v9_vectsp_1(A,k1_int_3) & v10_vectsp_1(A,k1_int_3) & v11_vectsp_1(A,k1_int_3) & l1_vectsp_1(A,k1_int_3) ) => ( ~ v2_struct_0(k17_zmodul02(A)) & v1_zmodul01(k17_zmodul02(A)) & l1_zmodul01(k17_zmodul02(A)) ) ) )).
fof(dt_k18_aescip_1,axiom,( ! [A] : ( m1_subset_1(A,k4_finseq_2(128,k5_margrel1)) => m2_finseq_2(k18_aescip_1(A),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) )).
fof(dt_k18_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k18_algstr_4(A,B,C)) & v1_funct_2(k18_algstr_4(A,B,C),u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B))) & m1_subset_1(k18_algstr_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B))))) ) ) )).
fof(dt_k18_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => m1_subset_1(k18_aofa_000(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k18_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & l3_msualg_1(D,A) & l4_aofa_a00(E,A,B,C) & m1_subset_1(F,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(G,u1_struct_0(A)) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,D),G)) & m4_aofa_a00(I,A,B,C,E,G) ) => m2_subset_1(k18_aofa_a00(A,B,C,D,E,F,G,H,I),k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) ) )).
fof(dt_k18_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k9_funct_2(k9_funct_2(A,B),C)) & v1_funct_1(F) & v1_funct_2(F,A,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,D))) ) => m2_funct_2(k18_aofa_i00(A,B,C,D,E,F),k9_funct_2(D,B),C,k9_funct_2(k9_funct_2(D,B),C)) ) )).
fof(dt_k18_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) & v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) & m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) & m1_subset_1(I,k4_aofa_l00(B,C,D)) ) => m1_subset_1(k18_aofa_l00(A,B,C,D,E,F,G,H,I),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) ) )).
fof(dt_k18_borsuk_1,axiom,( m1_subset_1(k18_borsuk_1,u1_struct_0(k17_borsuk_1)) )).
fof(dt_k18_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_eqrel_1(k18_bvfunc_1(A,B),A) ) )).
fof(dt_k18_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_cat_1(F,A,B,C) & m1_cat_1(G,A,D,E) ) => m1_cat_1(k18_cat_4(A,B,C,D,E,F,G),A,k2_cat_4(A,B,D),k2_cat_4(A,C,E)) ) )).
fof(dt_k18_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k12_cat_5(A,B))) ) => m2_subset_1(k18_cat_5(A,B,C),u4_struct_0(A),k10_cat_5(A,B)) ) )).
fof(dt_k18_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ( ~ v2_struct_0(k18_cat_6(A)) & ~ v11_struct_0(k18_cat_6(A)) & v1_cat_1(k18_cat_6(A)) & v2_cat_1(k18_cat_6(A)) & v3_cat_1(k18_cat_6(A)) & v4_cat_1(k18_cat_6(A)) & v5_cat_1(k18_cat_6(A)) & v6_cat_1(k18_cat_6(A)) & l1_cat_1(k18_cat_6(A)) ) ) )).
fof(dt_k18_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k16_coh_sp(A)) => ( v1_partfun1(k18_coh_sp(A,B),k2_xfamily(B)) & v1_relat_2(k18_coh_sp(A,B)) & v3_relat_2(k18_coh_sp(A,B)) & m1_subset_1(k18_coh_sp(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_xfamily(B),k2_xfamily(B)))) ) ) )).
fof(dt_k18_comput_1,axiom,( v1_relat_1(k18_comput_1) & v1_funct_1(k18_comput_1) & v7_comput_1(k18_comput_1) & v8_comput_1(k18_comput_1,2) )).
fof(dt_k18_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ( v1_clvect_1(k18_convex4(A)) & m1_clvect_1(k18_convex4(A),A) ) ) )).
fof(dt_k18_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k18_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k18_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & l1_lang1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k18_dtconstr(A,B),k1_zfmisc_1(k3_finseq_2(k1_lang1(A)))) ) )).
fof(dt_k18_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(k17_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k18_dualsp01(A,B,C),k1_numbers) ) )).
fof(dt_k18_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => v1_relat_1(k18_e_siec(A)) ) )).
fof(dt_k18_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( v1_funct_1(k18_ens_1(A,B,C)) & v1_funct_2(k18_ens_1(A,B,C),k2_cat_1(A,k4_graph_1(A,C),B),k2_cat_1(A,k3_graph_1(A,C),B)) & m1_subset_1(k18_ens_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,k4_graph_1(A,C),B),k2_cat_1(A,k3_graph_1(A,C),B)))) ) ) )).
fof(dt_k18_euclid,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_xreal_0(k18_euclid(A)) ) )).
fof(dt_k18_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k18_facirc_1(A,B,C),k15_facirc_1(A,B,C)) & v4_msafree2(k18_facirc_1(A,B,C),k15_facirc_1(A,B,C)) & v4_circcomb(k18_facirc_1(A,B,C),k15_facirc_1(A,B,C)) & v6_circcomb(k18_facirc_1(A,B,C),k15_facirc_1(A,B,C)) & l3_msualg_1(k18_facirc_1(A,B,C),k15_facirc_1(A,B,C)) ) )).
fof(dt_k18_finseq_1,axiom,( ! [A] : ( v1_relat_1(A) => v1_relat_1(k18_finseq_1(A)) ) )).
fof(dt_k18_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => ( v1_relat_1(k18_fomodel0(A,B,C,D)) & v1_funct_1(k18_fomodel0(A,B,C,D)) & v1_finseq_1(k18_fomodel0(A,B,C,D)) ) ) )).
fof(dt_k18_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k18_fomodel1(A),k1_fomodel1(A)) ) )).
fof(dt_k18_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) ) => ( v1_funct_1(k18_fomodel2(A,B,C)) & m1_subset_1(k18_fomodel2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) ) )).
fof(dt_k18_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k18_fomodel3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,k8_eqrel_1(A,C)),k8_eqrel_1(k4_finseq_2(B,A),k13_fomodel3(A,C,B))))) ) )).
fof(dt_k18_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k18_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k18_freealg,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_freealg(B) & ~ v1_xboole_0(C) & m1_subset_1(D,u1_struct_0(k3_freealg(A,B))) & v1_funct_1(E) & v1_funct_2(E,k17_freealg(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k17_freealg(A,B),C))) ) => m1_subset_1(k18_freealg(A,B,C,D,E),C) ) )).
fof(dt_k18_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k18_ftacell1(A,B,C,D,E),k3_msafree2(k13_ftacell1(A,B,C,D,E))) )).
fof(dt_k18_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_funct_1(k18_funcop_1(A,B,C)) & v1_funct_2(k18_funcop_1(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & m1_subset_1(k18_funcop_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)))) ) )).
fof(dt_k18_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k18_gfacirc1(A,B,C),k17_gfacirc1(A,B,C)) & v4_msafree2(k18_gfacirc1(A,B,C),k17_gfacirc1(A,B,C)) & v4_circcomb(k18_gfacirc1(A,B,C),k17_gfacirc1(A,B,C)) & v6_circcomb(k18_gfacirc1(A,B,C),k17_gfacirc1(A,B,C)) & l3_msualg_1(k18_gfacirc1(A,B,C),k17_gfacirc1(A,B,C)) ) )).
fof(dt_k18_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k18_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k18_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ( ~ v1_abian(k18_glib_001(A,B,C)) & m1_subset_1(k18_glib_001(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k18_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => m2_funct_2(k18_graphsp(A),k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) ) )).
fof(dt_k18_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ( ~ v1_xboole_0(k18_grcat_1(A)) & v4_grcat_1(k18_grcat_1(A)) ) ) )).
fof(dt_k18_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => m1_subset_1(k18_group_2(A,B),k4_ordinal1) ) )).
fof(dt_k18_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v2_group_9(k18_group_9(A,B,C),A) & m1_group_9(k18_group_9(A,B,C),A,B) ) ) )).
fof(dt_k18_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,k4_ordinal1,B,6) & m1_finseq_1(D,k3_finseq_2(k4_ordinal1)) ) => ( v1_relat_1(k18_idea_1(A,B,C,D)) & v1_funct_1(k18_idea_1(A,B,C,D)) & v1_finseq_1(k18_idea_1(A,B,C,D)) ) ) )).
fof(dt_k18_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => m1_subset_1(k18_lexbfs(A),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) )).
fof(dt_k18_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k18_lmod_7(A,B,C,D),u1_struct_0(k17_lmod_7(A,B,C))) ) )).
fof(dt_k18_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k18_lpspacc1(A,B,C)) & m1_subset_1(k18_lpspacc1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(k13_lpspacc1(A,B,C)))) ) ) )).
fof(dt_k18_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k18_lpspace1(A,B,C)) & v13_algstr_0(k18_lpspace1(A,B,C)) & v1_rlvect_1(k18_lpspace1(A,B,C)) & v2_rlvect_1(k18_lpspace1(A,B,C)) & v3_rlvect_1(k18_lpspace1(A,B,C)) & v4_rlvect_1(k18_lpspace1(A,B,C)) & v5_rlvect_1(k18_lpspace1(A,B,C)) & v6_rlvect_1(k18_lpspace1(A,B,C)) & v7_rlvect_1(k18_lpspace1(A,B,C)) & v8_rlvect_1(k18_lpspace1(A,B,C)) & l1_rlvect_1(k18_lpspace1(A,B,C)) ) ) )).
fof(dt_k18_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) => m1_subset_1(k18_margrel1(A),k4_ordinal1) ) )).
fof(dt_k18_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & v1_matrix_0(E) & v2_matrix_0(E,D,C,C) & m1_finseq_1(E,k3_finseq_2(D)) ) => ( v1_matrix_0(k18_matrix_0(A,B,C,D,E)) & m2_finseq_1(k18_matrix_0(A,B,C,D,E),k3_finseq_2(D)) ) ) )).
fof(dt_k18_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v2_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v2_matrixj1(k18_matrixj1(A,B,C),A) & m2_finseq_1(k18_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k18_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => m1_subset_1(k18_mesfunc1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k18_metric_3,axiom,( v1_funct_1(k18_metric_3) & v1_funct_2(k18_metric_3,k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(k18_metric_3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers)),k1_numbers))) )).
fof(dt_k18_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => m1_subset_1(k18_mmlquery(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k18_mod_2,axiom,( v36_algstr_0(k18_mod_2) & l6_algstr_0(k18_mod_2) )).
fof(dt_k18_modelc_1,axiom,( m1_subset_1(k18_modelc_1,k1_zfmisc_1(k12_modelc_1)) )).
fof(dt_k18_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) & v7_ordinal1(C) ) => ~ v1_xboole_0(k18_modelc_2(A,B,C)) ) )).
fof(dt_k18_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) ) => v1_xreal_0(k18_modelc_3(A,B)) ) )).
fof(dt_k18_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => m1_subset_1(k18_monoid_1(A,B),u1_struct_0(k13_monoid_1(A))) ) )).
fof(dt_k18_msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => m1_subset_1(k18_msafree(A,B,C,D),k3_card_3(u3_msualg_1(A,B))) ) )).
fof(dt_k18_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) & v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => m1_msafree4(k18_msafree5(A,B,C,D,E,F),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k3_msafree5(A,k1_msafree3(A,B),E))) ) )).
fof(dt_k18_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k18_msualg_4(A,B,C,D,E)) & v1_funct_2(k18_msualg_4(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)) & m1_subset_1(k18_msualg_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)))) ) ) )).
fof(dt_k18_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k18_normsp_3(A,B)) & l1_normsp_1(k18_normsp_3(A,B)) ) ) )).
fof(dt_k18_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) ) => m1_lattice4(k18_openlatt(A),A,k6_openlatt(k17_openlatt(A))) ) )).
fof(dt_k18_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) & m1_finseq_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) ) => m1_subset_1(k18_osafree(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) ) )).
fof(dt_k18_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => m2_pboole(k18_osalg_4(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k16_osalg_4(A,B,C))) ) )).
fof(dt_k18_pcs_0,axiom,( ! [A] : ! [B] : ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) ) )).
fof(dt_k18_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => ( v1_funct_1(k18_polyform(A,B)) & v1_funct_2(k18_polyform(A,B),u1_struct_0(k14_polyform(A,B)),u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1)))) & m1_subset_1(k18_polyform(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_polyform(A,B)),u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1)))))) ) ) )).
fof(dt_k18_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => m1_subset_1(k18_pre_poly(A,B),k1_zfmisc_1(k9_funct_2(A,k4_ordinal1))) ) )).
fof(dt_k18_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => m1_subset_1(k18_prvect_1(A),k4_card_3(k14_prvect_1(A))) ) )).
fof(dt_k18_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k18_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k18_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k18_qc_lang1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k18_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v1_funct_1(k18_quofield(A)) & v1_funct_2(k18_quofield(A),k7_quofield(A),k7_quofield(A)) & m1_subset_1(k18_quofield(A),k1_zfmisc_1(k2_zfmisc_1(k7_quofield(A),k7_quofield(A)))) ) ) )).
fof(dt_k18_rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k18_rfunct_3(A,B)) & m1_subset_1(k18_rfunct_3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k18_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v1_xreal_0(k18_rvsum_1(A)) ) )).
fof(dt_k18_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => m2_finseq_1(k18_scmfsa_2(A,B),k4_numbers) ) )).
fof(dt_k18_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k2_numbers) ) => m2_finseq_2(k18_seq_4(A,B,C),k2_numbers,k12_seq_4(A)) ) )).
fof(dt_k18_sin_cos,axiom,( v1_funct_1(k18_sin_cos) & v1_funct_2(k18_sin_cos,k1_numbers,k1_numbers) & m1_subset_1(k18_sin_cos,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k18_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k18_substut1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k18_supinf_2,axiom,( m1_subset_1(k18_supinf_2,k6_numbers) )).
fof(dt_k18_turing_1,axiom,( v1_funct_1(k18_turing_1) & v1_funct_2(k18_turing_1,k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(3),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(3),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(k18_turing_1,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k3_turing_1(3),k7_domain_1(k4_ordinal1,k5_numbers,1)),k3_zfmisc_1(k3_turing_1(3),k7_domain_1(k4_ordinal1,k5_numbers,1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) )).
fof(dt_k18_twoscomp,axiom,( v1_funct_1(k18_twoscomp) & v1_funct_2(k18_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k18_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k18_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v1_funct_1(k18_valued_1(A,B)) ) ) )).
fof(dt_k18_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => m2_subset_1(k18_zf_lang(A),k4_ordinal1,k1_zf_lang) ) )).
fof(dt_k18_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_zmodul02(B,A) ) => ( v1_finset_1(k18_zmodul02(A,B)) & m1_subset_1(k18_zmodul02(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k19_aescip_1,axiom,( ! [A] : ( m1_subset_1(A,k4_finseq_2(192,k5_margrel1)) => m2_finseq_2(k19_aescip_1(A),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(6,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) )).
fof(dt_k19_aofa_000,axiom,( ~ v1_xboole_0(k19_aofa_000) & m2_finseq_1(k19_aofa_000,k4_ordinal1) )).
fof(dt_k19_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & l3_msualg_1(D,A) & l4_aofa_a00(E,A,B,C) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & l3_aofa_a00(F,A,C,u4_aofa_a00(A,B,C,E)) & m1_subset_1(G,u1_struct_0(A)) & m1_subset_1(H,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & m1_subset_1(I,k1_funct_1(u3_msualg_1(A,D),G)) ) => m1_subset_1(k19_aofa_a00(A,B,C,D,E,F,G,H,I),k1_zfmisc_1(k9_funct_2(k2_zfmisc_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) ) )).
fof(dt_k19_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) & v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) & m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) & m1_subset_1(I,k4_aofa_l00(B,C,D)) & m1_subset_1(J,k4_aofa_l00(B,C,D)) ) => m1_subset_1(k19_aofa_l00(A,B,C,D,E,F,G,H,I,J),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) ) )).
fof(dt_k19_borsuk_1,axiom,( m1_subset_1(k19_borsuk_1,u1_struct_0(k17_borsuk_1)) )).
fof(dt_k19_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => m1_subset_1(k19_bvfunc_1(A,B),k5_margrel1) ) )).
fof(dt_k19_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) ) => m1_subset_1(k19_cat_4(A),u1_struct_0(A)) ) )).
fof(dt_k19_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_cat_1(k19_cat_5(A,B),k11_cat_5(A,k3_graph_1(A,B)),k11_cat_5(A,k4_graph_1(A,B))) ) )).
fof(dt_k19_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v1_cat_6(k19_cat_6(A)) & v8_cat_6(k19_cat_6(A)) & v9_cat_6(k19_cat_6(A)) & v10_cat_6(k19_cat_6(A)) & l1_cat_6(k19_cat_6(A)) ) ) )).
fof(dt_k19_comput_1,axiom,( v1_relat_1(k19_comput_1) & v1_funct_1(k19_comput_1) & v7_comput_1(k19_comput_1) & v8_comput_1(k19_comput_1,1) )).
fof(dt_k19_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xcmplx_0(C) ) => m1_subset_1(k19_convex4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k19_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k19_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k19_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k17_dualsp01(A))))) & v7_ordinal1(C) ) => m1_subset_1(k19_dualsp01(A,B,C),u1_struct_0(k17_dualsp01(A))) ) )).
fof(dt_k19_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => v1_relat_1(k19_e_siec(A)) ) )).
fof(dt_k19_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k19_ens_1(A,B)) & v1_funct_2(k19_ens_1(A,B),u4_struct_0(A),k2_ens_1(k16_ens_1(A))) & m1_subset_1(k19_ens_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k2_ens_1(k16_ens_1(A))))) ) ) )).
fof(dt_k19_euclid,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k19_euclid(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k19_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k19_facirc_1(A,B,C)) & ~ v11_struct_0(k19_facirc_1(A,B,C)) & v1_msualg_1(k19_facirc_1(A,B,C)) & v1_circcomb(k19_facirc_1(A,B,C)) & v2_circcomb(k19_facirc_1(A,B,C)) & v3_circcomb(k19_facirc_1(A,B,C)) & l1_msualg_1(k19_facirc_1(A,B,C)) ) )).
fof(dt_k19_finseq_1,axiom,( ! [A] : ( v1_finset_1(A) => m2_finseq_1(k19_finseq_1(A),A) ) )).
fof(dt_k19_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) & v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => m1_fomodel0(k19_fomodel0(A,B,C,D),A) ) )).
fof(dt_k19_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => m1_subset_1(k19_fomodel1(A,B),k4_numbers) ) )).
fof(dt_k19_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) & m1_subset_1(D,k15_fomodel2(A,B)) & m1_subset_1(E,k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m1_subset_1(k19_fomodel2(A,B,C,D,E),k5_margrel1) ) )).
fof(dt_k19_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k19_fomodel3(A,B,C)) & v1_funct_2(k19_fomodel3(A,B,C),k4_finseq_2(B,k8_eqrel_1(A,C)),k8_eqrel_1(k4_finseq_2(B,A),k13_fomodel3(A,C,B))) & m1_subset_1(k19_fomodel3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,k8_eqrel_1(A,C)),k8_eqrel_1(k4_finseq_2(B,A),k13_fomodel3(A,C,B))))) ) ) )).
fof(dt_k19_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k19_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k19_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v2_struct_0(k19_ftacell1(A,B,C,D,E)) & ~ v11_struct_0(k19_ftacell1(A,B,C,D,E)) & v1_msualg_1(k19_ftacell1(A,B,C,D,E)) & v1_circcomb(k19_ftacell1(A,B,C,D,E)) & v2_circcomb(k19_ftacell1(A,B,C,D,E)) & v3_circcomb(k19_ftacell1(A,B,C,D,E)) & l1_msualg_1(k19_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k19_funcop_1,axiom,( ! [A] : ! [B] : ( v1_funct_1(k19_funcop_1(A,B)) & v1_funct_2(k19_funcop_1(A,B),k1_tarski(A),k1_tarski(B)) & m1_subset_1(k19_funcop_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),k1_tarski(B)))) ) )).
fof(dt_k19_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k19_gfacirc1(A,B,C)) & ~ v11_struct_0(k19_gfacirc1(A,B,C)) & v1_msualg_1(k19_gfacirc1(A,B,C)) & v1_circcomb(k19_gfacirc1(A,B,C)) & v2_circcomb(k19_gfacirc1(A,B,C)) & v3_circcomb(k19_gfacirc1(A,B,C)) & l1_msualg_1(k19_gfacirc1(A,B,C)) ) )).
fof(dt_k19_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k19_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k19_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) ) => ( ~ v1_abian(k19_glib_001(A,B,C)) & m1_subset_1(k19_glib_001(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k19_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => m2_funct_2(k19_graphsp(A),k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) ) )).
fof(dt_k19_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) & m1_subset_1(B,k18_grcat_1(A)) ) => ( v8_algstr_0(k19_grcat_1(A,B)) & m2_grcat_1(k19_grcat_1(A,B),A) ) ) )).
fof(dt_k19_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) & m1_group_9(D,A,B) ) => ( v2_group_9(k19_group_9(A,B,C,D),A) & m1_group_9(k19_group_9(A,B,C,D),A,B) ) ) )).
fof(dt_k19_idea_1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => ( v1_funct_1(k19_idea_1(A,B)) & v1_funct_2(k19_idea_1(A,B),k14_idea_1,k14_idea_1) & m1_subset_1(k19_idea_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) ) )).
fof(dt_k19_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) => m1_subset_1(k19_lexbfs(A,B),k6_glib_000(A)) ) )).
fof(dt_k19_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k19_lpspacc1(A,B,C)) & v1_funct_2(k19_lpspacc1(A,B,C),k2_zfmisc_1(k18_lpspacc1(A,B,C),k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) & m1_subset_1(k19_lpspacc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_lpspacc1(A,B,C),k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)))) ) ) )).
fof(dt_k19_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k19_lpspace1(A,B,C)) & v1_funct_2(k19_lpspace1(A,B,C),u1_struct_0(k18_lpspace1(A,B,C)),k1_numbers) & m1_subset_1(k19_lpspace1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k18_lpspace1(A,B,C)),k1_numbers))) ) ) )).
fof(dt_k19_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k19_mmlquery(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k19_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k19_modelc_2(A,B,C)) & v1_funct_2(k19_modelc_2(A,B,C),k9_modelc_2,u1_struct_0(A)) & m1_subset_1(k19_modelc_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) ) )).
fof(dt_k19_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => m1_subset_1(k19_modelc_3(A,B),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_k19_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k19_monoid_1(A,B,C,D)) & v1_funct_2(k19_monoid_1(A,B,C,D),k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(C)) & m1_subset_1(k19_monoid_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(C)))) ) ) )).
fof(dt_k19_msafree5,axiom,( ! [A] : ! [B] : ( v1_relat_1(k19_msafree5(A,B)) & v1_funct_1(k19_msafree5(A,B)) ) )).
fof(dt_k19_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) => m2_pboole(k19_msualg_4(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),u3_msualg_1(A,C)) ) )).
fof(dt_k19_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_funct_1(k19_osafree(A,B)) & v1_funct_2(k19_osafree(A,B),k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) & m1_subset_1(k19_osafree(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))))) ) ) )).
fof(dt_k19_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) => ( v2_msualg_4(k19_osalg_4(A,B,C,D),A,B) & v3_msualg_4(k19_osalg_4(A,B,C,D),A,B) & m1_osalg_4(k19_osalg_4(A,B,C,D),A,B) ) ) )).
fof(dt_k19_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & l2_pcs_0(B) ) => l2_pcs_0(k19_pcs_0(A,B)) ) )).
fof(dt_k19_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => m1_vectsp_4(k19_polyform(A,B),k2_bspace,k14_polyform(A,B)) ) )).
fof(dt_k19_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & v2_pre_poly(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => m1_subset_1(k19_pre_poly(A,B),k5_finsub_1(A)) ) )).
fof(dt_k19_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => ( ~ v2_struct_0(k19_prvect_1(A)) & v8_algstr_0(k19_prvect_1(A)) & v13_algstr_0(k19_prvect_1(A)) & v2_rlvect_1(k19_prvect_1(A)) & v3_rlvect_1(k19_prvect_1(A)) & v4_rlvect_1(k19_prvect_1(A)) & l2_algstr_0(k19_prvect_1(A)) ) ) )).
fof(dt_k19_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k19_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k19_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k19_qc_lang1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k19_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k19_quofield(A)) & l6_algstr_0(k19_quofield(A)) ) ) )).
fof(dt_k19_rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k19_rfunct_3(A,B)) & m1_subset_1(k19_rfunct_3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k19_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => v1_xcmplx_0(k19_rvsum_1(A)) ) )).
fof(dt_k19_seq_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) ) => m2_finseq_2(k19_seq_4(A,B),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k19_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k19_substut1(A,B),k1_substut1(A)) ) )).
fof(dt_k19_turing_1,axiom,( v1_turing_1(k19_turing_1) & l1_turing_1(k19_turing_1) )).
fof(dt_k19_twoscomp,axiom,( v1_funct_1(k19_twoscomp) & v1_funct_2(k19_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k19_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k19_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k19_valued_1(A,B,C,D,E)) & m1_subset_1(k19_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k19_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k19_zf_lang(A)) & m2_finseq_1(k19_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k19_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => m1_zmodul02(k19_zmodul02(A),A) ) )).
fof(dt_k1_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( l1_abcmiz_0(A) & m1_subset_1(B,u1_abcmiz_0(A)) ) => m1_subset_1(k1_abcmiz_0(A,B),u1_abcmiz_0(A)) ) )).
fof(dt_k1_abian,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => ( v1_funct_1(k1_abian(A,B,C)) & v1_funct_2(k1_abian(A,B,C),A,A) & m1_subset_1(k1_abian(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k1_absred_0,axiom,( v1_absred_0(k1_absred_0) & l1_absred_0(k1_absred_0) )).
fof(dt_k1_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k1_absvalue(A)) ) )).
fof(dt_k1_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,C,k4_finseq_2(A,k4_finseq_2(B,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k4_finseq_2(A,k4_finseq_2(B,D))))) & m1_subset_1(F,C) ) => m2_finseq_2(k1_aescip_1(A,B,C,D,E,F),k4_finseq_2(B,D),k4_finseq_2(A,k4_finseq_2(B,D))) ) )).
fof(dt_k1_aff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_aff_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_aff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_aff_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => m1_subset_1(k1_afinsq_1(A),k4_ordinal1) ) )).
fof(dt_k1_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( v1_relat_1(k1_afinsq_2(A)) & v1_funct_1(k1_afinsq_2(A)) & v5_ordinal1(k1_afinsq_2(A)) & v1_finset_1(k1_afinsq_2(A)) ) ) )).
fof(dt_k1_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => m1_subset_1(k1_afproj(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_afvect0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_afvect0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_alg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_unialg_1(k1_alg_1(A,B,C)) & m1_unialg_2(k1_alg_1(A,B,C),B) ) ) )).
fof(dt_k1_algseq_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k1_algseq_1(A,B),k4_ordinal1) ) )).
fof(dt_k1_algspec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_algspec1(A,B)) & v4_relat_1(k1_algspec1(A,B),A) & v1_funct_1(k1_algspec1(A,B)) & v1_partfun1(k1_algspec1(A,B),A) ) ) )).
fof(dt_k1_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_algstr_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_algstr_1,axiom,( ! [A] : m1_subset_1(k1_algstr_1(A),k1_tarski(A)) )).
fof(dt_k1_algstr_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v3_algstr_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_algstr_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_algstr_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_algstr_3(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k1_algstr_3(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k1_altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_altcat_1(A,B,C)) ) => m1_subset_1(k1_altcat_3(A,B,C,D),k1_altcat_1(A,C,B)) ) )).
fof(dt_k1_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k1_altcat_4(A)) & v2_altcat_1(k1_altcat_4(A)) & v6_altcat_1(k1_altcat_4(A)) & m1_altcat_2(k1_altcat_4(A),A) ) ) )).
fof(dt_k1_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & m1_altcat_5(E,A,B,C,D) & m1_subset_1(F,C) ) => m1_subset_1(k1_altcat_5(A,B,C,D,E,F),k1_altcat_1(A,B,k3_funct_2(C,u1_struct_0(A),D,F))) ) )).
fof(dt_k1_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & m1_altcat_6(E,A,B,C,D) & m1_subset_1(F,C) ) => m1_subset_1(k1_altcat_6(A,B,C,D,E,F),k1_altcat_1(A,k3_funct_2(C,u1_struct_0(A),D,F),B)) ) )).
fof(dt_k1_ami_3,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & l1_extpro_1(k1_ami_3,k5_card_1(2)) )).
fof(dt_k1_ami_4,axiom,( v1_relat_1(k1_ami_4) & v4_relat_1(k1_ami_4,k4_ordinal1) & v5_relat_1(k1_ami_4,u1_compos_1(k1_ami_3)) & v1_funct_1(k1_ami_4) & v1_finset_1(k1_ami_4) )).
fof(dt_k1_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) ) => m1_subset_1(k1_ami_wstd(A,B,C),k4_ordinal1) ) )).
fof(dt_k1_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,u1_compos_1(B)) ) => m1_subset_1(k1_amistd_1(A,B,C,D),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k1_amistd_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ( v1_relat_1(k1_amistd_3(A,B,C)) & v5_relat_1(k1_amistd_3(A,B,C),k4_ordinal1) & v5_ordinal1(k1_amistd_3(A,B,C)) & v1_funct_1(k1_amistd_3(A,B,C)) ) ) )).
fof(dt_k1_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k4_memstr_0(A,B,D)) ) => ( v1_relat_1(k1_amistd_4(A,B,C,D,E)) & v4_relat_1(k1_amistd_4(A,B,C,D,E),u1_struct_0(B)) & v1_funct_1(k1_amistd_4(A,B,C,D,E)) & v5_funct_1(k1_amistd_4(A,B,C,D,E),k2_memstr_0(A,B)) & v1_partfun1(k1_amistd_4(A,B,C,D,E),u1_struct_0(B)) ) ) )).
fof(dt_k1_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_analmetr(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_k1_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_subset_1(k1_analoaf(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_k1_analort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k1_analort(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k1_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v3_relat_2(k1_anproj_1(A)) & v8_relat_2(k1_anproj_1(A)) & v1_partfun1(k1_anproj_1(A),k8_struct_0(A)) & m1_subset_1(k1_anproj_1(A),k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A),k8_struct_0(A)))) ) ) )).
fof(dt_k1_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_finseq_2(C,A) & m1_subset_1(D,B) ) => ( v1_funct_1(k1_aofa_000(A,B,C,D)) & m1_subset_1(k1_aofa_000(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),B))) ) ) )).
fof(dt_k1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_aofa_a00(A,B,C,D)) & v4_relat_1(k1_aofa_a00(A,B,C,D),A) & v1_funct_1(k1_aofa_a00(A,B,C,D)) & v1_partfun1(k1_aofa_a00(A,B,C,D),A) ) ) )).
fof(dt_k1_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( v2_relat_1(k1_aofa_a01(A,B,C)) & m1_msafree(k1_aofa_a01(A,B,C),A,C) ) ) )).
fof(dt_k1_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) ) => m1_subset_1(k1_aofa_i00(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k1_armstrng,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => m1_subset_1(k1_armstrng(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k1_arrow,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) & m1_subset_1(E,A) ) => m2_subset_1(k1_arrow(A,B,C,D,E),B,C) ) )).
fof(dt_k1_arytm_0,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k1_arytm_0(A,B),k1_numbers) ) )).
fof(dt_k1_arytm_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_arytm_2) & m1_subset_1(B,k2_arytm_2) ) => m1_subset_1(k1_arytm_1(A,B),k2_arytm_2) ) )).
fof(dt_k1_arytm_2,axiom,( m1_subset_1(k1_arytm_2,k1_zfmisc_1(k1_zfmisc_1(k5_arytm_3))) )).
fof(dt_k1_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k1_asympt_0(A,B)) & v1_funct_2(k1_asympt_0(A,B),k4_ordinal1,k1_numbers) & v2_asympt_0(k1_asympt_0(A,B)) & m1_subset_1(k1_asympt_0(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_asympt_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( v1_funct_1(k1_asympt_1(A,B,C)) & v1_funct_2(k1_asympt_1(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k1_asympt_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m1_funct_2(k1_autalg_1(A),u1_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_k1_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_funct_2(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_k1_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( v1_relat_1(k1_bagorder(A,B,C,D)) & v4_relat_1(k1_bagorder(A,B,C,D),k7_nat_d(C,B)) & v1_funct_1(k1_bagorder(A,B,C,D)) & v1_partfun1(k1_bagorder(A,B,C,D),k7_nat_d(C,B)) ) ) )).
fof(dt_k1_ballot_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(D) ) => m1_subset_1(k1_ballot_1(A,B,C,D),k1_zfmisc_1(k4_finseq_2(k2_xcmplx_0(B,D),k2_tarski(A,C)))) ) )).
fof(dt_k1_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_bcialg_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => m1_subset_1(k1_bcialg_2(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k1_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_bcialg_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_bcialg_4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) & v7_ordinal1(E) ) => m1_subset_1(k1_bcialg_5(A,B,C,D,E),u1_struct_0(A)) ) )).
fof(dt_k1_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( v1_funct_1(k1_bcialg_6(A)) & v1_funct_2(k1_bcialg_6(A),k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(k1_bcialg_6(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) ) )).
fof(dt_k1_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k1_bhsp_1(A,B,C)) ) )).
fof(dt_k1_bhsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k1_bhsp_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_bhsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_bhsp_4(A,B)) & v1_funct_2(k1_bhsp_4(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k1_bhsp_4(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k1_bhsp_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_bhsp_6(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & l1_vectsp_1(B,A) & l1_vectsp_1(C,A) ) => ( v1_funct_1(k1_bilinear(A,B,C)) & v1_funct_2(k1_bilinear(A,B,C),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(k1_bilinear(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k1_binari_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v3_card_1(k1_binari_2(A),A) & m2_finseq_1(k1_binari_2(A),k5_margrel1) ) ) )).
fof(dt_k1_binari_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v3_card_1(k1_binari_3(A,B),A) & m2_finseq_1(k1_binari_3(A,B),k5_margrel1) ) ) )).
fof(dt_k1_binari_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k1_binari_4(A,B)) ) )).
fof(dt_k1_binarith,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => m1_subset_1(k1_binarith(A,B),k5_margrel1) ) )).
fof(dt_k1_binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_struct_0(A)) ) => m2_finseq_1(k1_binom(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_binop_2,axiom,( v1_funct_1(k1_binop_2) & v1_funct_2(k1_binop_2,k2_numbers,k2_numbers) & m1_subset_1(k1_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k1_bintree1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => m1_subset_1(k1_bintree1(A,B),A) ) )).
fof(dt_k1_bintree2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( v1_funct_1(k1_bintree2(A,B)) & v1_funct_2(k1_bintree2(A,B),k2_trees_2(A,B),k4_ordinal1) & m1_subset_1(k1_bintree2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_trees_2(A,B),k4_ordinal1))) ) ) )).
fof(dt_k1_birkhoff,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),B,u3_msualg_1(A,C)) ) => m2_pboole(k1_birkhoff(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B)),u3_msualg_1(A,C)) ) )).
fof(dt_k1_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_boolealg(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_boolmark,axiom,( ! [A] : ( l1_petri(A) => m1_funct_2(k1_boolmark(A),u1_struct_0(A),k5_margrel1) ) )).
fof(dt_k1_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_connsp_2(E,B,C) ) => m2_connsp_2(k1_borsuk_1(A,B,C,D,E),A,k8_relset_1(u1_struct_0(A),u1_struct_0(B),D,k6_domain_1(u1_struct_0(B),C))) ) )).
fof(dt_k1_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_borsuk_2(E,A,B,C) & m1_borsuk_2(F,A,C,D) ) => m1_borsuk_2(k1_borsuk_2(A,B,C,D,E,F),A,B,D) ) )).
fof(dt_k1_borsuk_4,axiom,( v1_pre_topc(k1_borsuk_4) & m1_pre_topc(k1_borsuk_4,k5_topmetr) )).
fof(dt_k1_borsuk_5,axiom,( m1_subset_1(k1_borsuk_5,k1_zfmisc_1(k1_numbers)) )).
fof(dt_k1_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( v1_funct_1(k1_borsuk_6(A,B,C,D)) & v1_funct_2(k1_borsuk_6(A,B,C,D),u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(k1_borsuk_6(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) ) )).
fof(dt_k1_borsuk_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_topmetr)) & v1_xreal_0(B) ) => m1_subset_1(k1_borsuk_7(A,B),u1_struct_0(k3_topmetr)) ) )).
fof(dt_k1_brouwer,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => m1_subset_1(k1_brouwer(A,B),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) )).
fof(dt_k1_bspace,axiom,( ! [A] : ( l1_struct_0(A) => m2_finseq_1(k1_bspace(A),u1_struct_0(A)) ) )).
fof(dt_k1_bvfunc25,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k1_bvfunc25(A,B)) & v1_funct_1(k1_bvfunc25(A,B)) ) ) )).
fof(dt_k1_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k1_bvfunc_1(A,B)) & v1_funct_2(k1_bvfunc_1(A,B),A,k5_margrel1) & m1_subset_1(k1_bvfunc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k1_bvfunc_2,axiom,( ! [A] : ( v1_eqrel_1(k1_bvfunc_2(A),A) & m1_subset_1(k1_bvfunc_2(A),k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) )).
fof(dt_k1_c0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k1_c0sp1(A,B)) & v1_funct_2(k1_c0sp1(A,B),k2_zfmisc_1(B,B),B) & m1_subset_1(k1_c0sp1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) ) )).
fof(dt_k1_c0sp2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k1_c0sp2(A,B)) & v1_funct_2(k1_c0sp2(A,B),u1_struct_0(A),k1_numbers) & m1_subset_1(k1_c0sp2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(dt_k1_calcul_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => m2_finseq_1(k1_calcul_1(A,B),A) ) )).
fof(dt_k1_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k1_cantor_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k1_card_1,axiom,( ! [A] : v1_card_1(k1_card_1(A)) )).
fof(dt_k1_card_2,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v1_card_1(B) ) => v1_card_1(k1_card_2(A,B)) ) )).
fof(dt_k1_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_card_3(A)) & v1_funct_1(k1_card_3(A)) & v1_card_3(k1_card_3(A)) ) ) )).
fof(dt_k1_card_5,axiom,( ! [A] : ( v1_card_1(A) => v1_card_1(k1_card_5(A)) ) )).
fof(dt_k1_card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) ) => m2_card_fil(k1_card_fil(A,B),A) ) )).
fof(dt_k1_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v7_ordinal1(B) ) => m1_subset_1(k1_card_fin(A,B,C,D),k1_zfmisc_1(k9_funct_2(A,k2_tarski(C,D)))) ) )).
fof(dt_k1_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) & v3_ordinal1(C) ) => m1_subset_1(k1_card_lar(A,B,C),B) ) )).
fof(dt_k1_cardfin2,axiom,( ! [A] : ( v1_xreal_0(A) => v1_int_1(k1_cardfin2(A)) ) )).
fof(dt_k1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m1_subset_1(k1_cat_1(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k1_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => m2_cat_1(k1_cat_2(A,B,C),A,B) ) )).
fof(dt_k1_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => ( v1_funct_1(k1_cat_3(A,B,C)) & v1_funct_2(k1_cat_3(A,B,C),k1_tarski(B),A) & m1_subset_1(k1_cat_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_tarski(B),A))) ) ) )).
fof(dt_k1_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) ) => m1_subset_1(k1_cat_4(A),u1_struct_0(A)) ) )).
fof(dt_k1_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k1_cat_5(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) & m1_subset_1(C,k6_cat_6(A)) ) => m1_subset_1(k1_cat_7(A,B,C),k1_zfmisc_1(k1_cat_6(A))) ) )).
fof(dt_k1_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_xreal_0(k1_catalan1(A)) ) )).
fof(dt_k1_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( v1_relat_1(k1_catalan2(A,B)) & v5_relat_1(k1_catalan2(A,B),k4_ordinal1) & v1_funct_1(k1_catalan2(A,B)) & v5_ordinal1(k1_catalan2(A,B)) & v1_finset_1(k1_catalan2(A,B)) ) ) )).
fof(dt_k1_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_relat_1(k1_catalg_1(A,B,C)) & v4_relat_1(k1_catalg_1(A,B,C),A) & v1_funct_1(k1_catalg_1(A,B,C)) & v1_partfun1(k1_catalg_1(A,B,C),A) & v1_funcop_1(k1_catalg_1(A,B,C)) ) ) )).
fof(dt_k1_cc0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k1_cc0sp1(A,B)) & v1_funct_2(k1_cc0sp1(A,B),k2_zfmisc_1(k2_numbers,B),B) & m1_subset_1(k1_cc0sp1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,B),B))) ) ) )).
fof(dt_k1_cc0sp2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v1_xcmplx_0(B) ) => ( v1_funct_1(k1_cc0sp2(A,B)) & v1_funct_2(k1_cc0sp2(A,B),u1_struct_0(A),k2_numbers) & m1_subset_1(k1_cc0sp2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) ) )).
fof(dt_k1_cfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_cfdiff_1(A)) & v1_funct_2(k1_cfdiff_1(A),k4_ordinal1,k2_numbers) & m1_subset_1(k1_cfdiff_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k1_cfuncdom,axiom,( ! [A] : ( v1_funct_1(k1_cfuncdom(A)) & v1_funct_2(k1_cfuncdom(A),k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & m1_subset_1(k1_cfuncdom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)))) ) )).
fof(dt_k1_cfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_funct_1(k1_cfunct_1(A,B,C)) & m1_subset_1(k1_cfunct_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k1_chain_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_subset_1(k1_chain_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k1_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) ) => v1_finset_1(k1_chord(A,B)) ) )).
fof(dt_k1_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) ) => m1_subset_1(k1_circcmb3(A,B,C),k4_card_3(u3_msualg_1(A,B))) ) )).
fof(dt_k1_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,D) & v1_funct_1(E) & v1_partfun1(E,D) & v1_relat_1(F) & v2_relat_1(F) & v4_relat_1(F,D) & v1_funct_1(F) & v1_partfun1(F,D) & m2_pboole(G,A,B,C) & m2_pboole(H,D,E,F) ) => m2_pboole(k1_circcomb(A,B,C,D,E,F,G,H),k2_xboole_0(A,D),k1_funct_4(B,E),k1_funct_4(C,F)) ) )).
fof(dt_k1_circled1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_circled1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ( ~ v2_struct_0(k1_circtrm1(A,B,C)) & v1_msualg_1(k1_circtrm1(A,B,C)) & l1_msualg_1(k1_circtrm1(A,B,C)) ) ) )).
fof(dt_k1_circuit1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ( v1_relat_1(k1_circuit1(A,B)) & v4_relat_1(k1_circuit1(A,B),k1_msafree2(A)) & v1_funct_1(k1_circuit1(A,B)) & v1_partfun1(k1_circuit1(A,B),k1_msafree2(A)) ) ) )).
fof(dt_k1_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_msafree2(D,A,B) ) => m1_subset_1(k1_circuit2(A,B,C,D),k4_card_3(u3_msualg_1(A,B))) ) )).
fof(dt_k1_ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ( ~ v1_xboole_0(k1_ckspace1(A,B,C)) & m1_subset_1(k1_ckspace1(A,B,C),k1_zfmisc_1(u1_struct_0(k12_funcsdom(C)))) ) ) )).
fof(dt_k1_classes2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) ) => m1_subset_1(k1_classes2(A,B),A) ) )).
fof(dt_k1_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(B,A,A) & v1_clopban1(B,A,A) & v2_clopban1(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(C,A,A) & v1_clopban1(C,A,A) & v2_clopban1(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k1_clopban2(A,B,C)) & v1_funct_2(k1_clopban2(A,B,C),u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(k1_clopban2(A,B,C),A,A) & v1_clopban1(k1_clopban2(A,B,C),A,A) & v2_clopban1(k1_clopban2(A,B,C),A,A) & m1_subset_1(k1_clopban2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k1_clopban3(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_clopban4(A,B)) & v1_funct_2(k1_clopban4(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k1_clopban4(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) & m1_pboole(E,A,B) ) => m1_pboole(k1_closure1(A,B,C,D,E),A,C) ) )).
fof(dt_k1_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xcmplx_0(C) ) => m1_subset_1(k1_clvect_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_clvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k1_clvect_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_clvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k1_clvect_3(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_coh_sp,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ( v1_partfun1(k1_coh_sp(A),k3_tarski(A)) & v1_relat_2(k1_coh_sp(A)) & v3_relat_2(k1_coh_sp(A)) & m1_subset_1(k1_coh_sp(A),k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(A)))) ) ) )).
fof(dt_k1_combgras,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) ) => ( v1_incsp_1(k1_combgras(A,B)) & v5_incsp_1(k1_combgras(A,B)) & v7_incsp_1(k1_combgras(A,B)) & l1_incsp_1(k1_combgras(A,B)) ) ) )).
fof(dt_k1_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,C) & m2_cat_1(E,B,C) ) => ( ~ v1_xboole_0(k1_commacat(A,B,C,D,E)) & m1_subset_1(k1_commacat(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)))) ) ) )).
fof(dt_k1_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_pre_topc(k1_compact1(A)) & l1_pre_topc(k1_compact1(A)) ) ) )).
fof(dt_k1_compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v1_funct_1(k1_compl_sp(A,B)) & v1_funct_2(k1_compl_sp(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k1_compl_sp(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_complex2,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => m1_subset_1(k1_complex2(A,B),k2_numbers) ) )).
fof(dt_k1_complfld,axiom,( v36_algstr_0(k1_complfld) & l6_algstr_0(k1_complfld) )).
fof(dt_k1_complsp1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_pre_topc(k1_complsp1(A)) & v2_pre_topc(k1_complsp1(A)) & l1_pre_topc(k1_complsp1(A)) ) ) )).
fof(dt_k1_complsp2,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m2_finseq_1(k1_complsp2(A),k2_numbers) ) )).
fof(dt_k1_compos_1,axiom,( v1_compos_1(k1_compos_1) & l1_compos_1(k1_compos_1) )).
fof(dt_k1_compos_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_amistd_4(A) & l1_compos_1(A) & v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => ( ~ v1_xboole_0(k1_compos_2(A,B,C)) & v1_relat_1(k1_compos_2(A,B,C)) & v4_relat_1(k1_compos_2(A,B,C),k4_ordinal1) & v5_relat_1(k1_compos_2(A,B,C),u1_compos_1(A)) & v1_funct_1(k1_compos_2(A,B,C)) & v1_finset_1(k1_compos_2(A,B,C)) & v1_afinsq_1(k1_compos_2(A,B,C)) & v3_compos_1(k1_compos_2(A,B,C),A) & v4_compos_1(k1_compos_2(A,B,C),A) ) ) )).
fof(dt_k1_comptrig,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xreal_0(k1_comptrig(A)) ) )).
fof(dt_k1_compts_1,axiom,( ! [A] : l1_pre_topc(k1_compts_1(A)) )).
fof(dt_k1_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_comput_1(A) ) => m1_subset_1(k1_comput_1(A),k4_ordinal1) ) )).
fof(dt_k1_comseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k1_comseq_2(A)) & v1_funct_1(k1_comseq_2(A)) & v1_valued_0(k1_comseq_2(A)) ) ) )).
fof(dt_k1_comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( v1_funct_1(k1_comseq_3(A)) & v1_funct_2(k1_comseq_3(A),k4_ordinal1,k2_numbers) & m1_subset_1(k1_comseq_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k1_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k1_conlat_1(A)) & v1_funct_2(k1_conlat_1(A),k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A))) & m1_subset_1(k1_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A))))) ) ) )).
fof(dt_k1_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => m1_subset_1(k1_conlat_2(A,B),u1_struct_0(k11_conlat_1(A))) ) )).
fof(dt_k1_connsp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_connsp_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_connsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_connsp_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_connsp_3,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_connsp_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_convex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(C) ) => m1_subset_1(k1_convex1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k9_funct_2(u1_struct_0(A),k2_numbers)) ) => m1_subset_1(k1_convex4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ( v1_funct_1(k1_convfun1(A,B)) & v1_funct_2(k1_convfun1(A,B),k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(k1_convfun1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) ) )).
fof(dt_k1_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k2_qc_lang1(A)) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A),k2_qc_lang1(A)))) ) => m2_finseq_1(k1_cqc_lang(A,B,C),k2_qc_lang1(A)) ) )).
fof(dt_k1_cqc_the1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => m1_subset_1(k1_cqc_the1(A,B),k1_zfmisc_1(k3_cqc_lang(A))) ) )).
fof(dt_k1_csspace,axiom,( ~ v1_xboole_0(k1_csspace) )).
fof(dt_k1_csspace3,axiom,( m1_subset_1(k1_csspace3,k1_zfmisc_1(u1_struct_0(k5_csspace))) )).
fof(dt_k1_csspace4,axiom,( m1_subset_1(k1_csspace4,k1_zfmisc_1(u1_struct_0(k5_csspace))) )).
fof(dt_k1_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => v1_xreal_0(k1_dblseq_1(A)) ) )).
fof(dt_k1_dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k1_dblseq_2(A,B,C,D)) & v1_funct_2(k1_dblseq_2(A,B,C,D),k2_zfmisc_1(B,A),C) & m1_subset_1(k1_dblseq_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) ) ) )).
fof(dt_k1_decomp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_decomp_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(B,A)) ) => m2_finseq_2(k1_descip_1(A,B,C),A,k4_finseq_2(B,A)) ) )).
fof(dt_k1_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_partfun1(k1_dickson(A),u1_struct_0(A)) & v3_relat_2(k1_dickson(A)) & v8_relat_2(k1_dickson(A)) & m1_subset_1(k1_dickson(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k1_diff_1(A,B)) & m1_subset_1(k1_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k1_diff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) & v1_xreal_0(F) ) => v1_xreal_0(k1_diff_2(A,B,C,D,E,F)) ) )).
fof(dt_k1_dilworth,axiom,( ! [A] : ( ( v3_dilworth(A) & l1_orders_2(A) ) => v7_ordinal1(k1_dilworth(A)) ) )).
fof(dt_k1_diraf,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) ) => m1_subset_1(k1_diraf(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) ) )).
fof(dt_k1_dist_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_finseq_1(B,A) => m1_subset_1(k1_dist_1(A,B,C),k1_zfmisc_1(k9_xtuple_0(B))) ) )).
fof(dt_k1_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,A) ) => m1_subset_1(k1_dist_2(A,B),k4_ordinal1) ) )).
fof(dt_k1_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) ) => m1_subset_1(k1_domain_1(A,B,C,D),k2_zfmisc_1(A,B)) ) )).
fof(dt_k1_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_trees_3(B,A) & m1_finseq_1(C,B) ) => m2_finseq_1(k1_dtconstr(A,B,C),A) ) )).
fof(dt_k1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k1_dualsp01(A)) & v1_funct_2(k1_dualsp01(A),k2_zfmisc_1(u1_struct_0(k2_vectsp_1),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k1_dualsp01(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_vectsp_1),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k1_dualsp02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_dualsp02(A,B),u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) ) )).
fof(dt_k1_dynkin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( v1_funct_1(k1_dynkin(A,B,C,D)) & v1_funct_2(k1_dynkin(A,B,C,D),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k1_dynkin(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k1_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => m1_subset_1(k1_ec_pf_1(A),k4_ordinal1) ) )).
fof(dt_k1_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) ) => m1_subset_1(k1_ec_pf_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))))) ) )).
fof(dt_k1_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m1_funct_2(k1_endalg(A),u1_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_k1_entropy1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => ( v1_matrix_0(k1_entropy1(A)) & v2_matrix_0(k1_entropy1(A),k1_numbers,k3_finseq_1(A),k3_finseq_1(A)) & v1_entropy1(k1_entropy1(A),k3_finseq_1(A)) & m2_finseq_1(k1_entropy1(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k1_eqrel_1,axiom,( ! [A] : m1_subset_1(k1_eqrel_1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) )).
fof(dt_k1_equation,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( v1_relat_1(k1_equation(A,B,C)) & v4_relat_1(k1_equation(A,B,C),A) & v1_funct_1(k1_equation(A,B,C)) & v1_partfun1(k1_equation(A,B,C),A) ) ) )).
fof(dt_k1_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => m1_finseq_2(k1_euclid(A),k1_numbers) ) )).
fof(dt_k1_euclid10,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => v1_xreal_0(k1_euclid10(A,B,C)) ) )).
fof(dt_k1_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => m1_subset_1(k1_euclid_3(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => m1_subset_1(k1_euclid_4(A,B,C),k1_zfmisc_1(k1_euclid(A))) ) )).
fof(dt_k1_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => v1_xreal_0(k1_euclid_5(A)) ) )).
fof(dt_k1_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => v1_xreal_0(k1_euclid_6(A,B,C)) ) )).
fof(dt_k1_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k1_euclid_7(A,B,C),k2_zfmisc_1(A,A)) ) )).
fof(dt_k1_euclid_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => m2_finseq_2(k1_euclid_8(A,B,C),k1_numbers,k1_euclid(3)) ) )).
fof(dt_k1_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v3_valued_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v3_valued_0(C) ) => v7_ordinal1(k1_euclid_9(A,B,C)) ) )).
fof(dt_k1_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_euclidlp(A),k1_zfmisc_1(k1_zfmisc_1(k1_euclid(A)))) ) )).
fof(dt_k1_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_euler_1(A),k4_ordinal1) ) )).
fof(dt_k1_euler_2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => m2_finseq_1(k1_euler_2(A,B),k4_ordinal1) ) )).
fof(dt_k1_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v3_ordinal1(k1_exchsort(A)) ) )).
fof(dt_k1_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k1_extpro_1(A),A) & l1_extpro_1(k1_extpro_1(A),A) ) ) )).
fof(dt_k1_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => m1_subset_1(k1_extreal1(A,B),k6_numbers) ) )).
fof(dt_k1_facirc_1,axiom,( v1_funct_1(k1_facirc_1) & v1_funct_2(k1_facirc_1,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k1_facirc_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k1_facirc_2,axiom,( ! [A] : ( v11_struct_0(k1_facirc_2(A)) & v1_msualg_1(k1_facirc_2(A)) & l1_msualg_1(k1_facirc_2(A)) ) )).
fof(dt_k1_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k1_fcont_1(A,B)) & v1_funct_2(k1_fcont_1(A,B),k1_numbers,k1_numbers) & m1_subset_1(k1_fcont_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k1_fdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => v1_xreal_0(k1_fdiff_1(A,B)) ) )).
fof(dt_k1_fdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k1_fdiff_3(A,B)) ) )).
fof(dt_k1_fdiff_9,axiom,( v1_funct_1(k1_fdiff_9) & m1_subset_1(k1_fdiff_9,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k1_ff_siec,axiom,( ! [A] : ! [B] : ( v1_petri(k1_ff_siec(A,B)) & v1_net_1(k1_ff_siec(A,B)) & l1_petri(k1_ff_siec(A,B)) ) )).
fof(dt_k1_fib_fusc,axiom,( v1_relat_1(k1_fib_fusc) & v5_relat_1(k1_fib_fusc,u1_compos_1(k1_ami_3)) & v5_ordinal1(k1_fib_fusc) & v1_funct_1(k1_fib_fusc) & v1_finset_1(k1_fib_fusc) )).
fof(dt_k1_fib_num,axiom,( v1_xreal_0(k1_fib_num) )).
fof(dt_k1_fib_num2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_finset_1(B) & v1_setfam_1(B) & v6_membered(B) ) => m2_finseq_1(k1_fib_num2(A,B),k4_ordinal1) ) )).
fof(dt_k1_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_fib_num3(A),k4_ordinal1) ) )).
fof(dt_k1_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v1_xboole_0(k1_filter_0(A)) & v19_lattices(k1_filter_0(A),A) & v20_lattices(k1_filter_0(A),A) & m1_subset_1(k1_filter_0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k1_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_filter_2(A,B),u1_struct_0(k1_lattice2(A))) ) )).
fof(dt_k1_fin_topo,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_finance1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k1_finance1(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_finance2,axiom,( m1_subset_1(k1_finance2,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) )).
fof(dt_k1_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k1_finseq_2(A)) & v1_funct_1(k1_finseq_2(A)) & v1_finseq_1(k1_finseq_2(A)) ) ) )).
fof(dt_k1_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k1_finseq_3(A,B)) & v1_funct_1(k1_finseq_3(A,B)) & v1_finseq_1(k1_finseq_3(A,B)) ) ) )).
fof(dt_k1_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => m2_finseq_1(k1_finseq_5(A,B,C),A) ) )).
fof(dt_k1_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_subset_1(C,A) ) => m2_finseq_1(k1_finseq_6(A,B,C),A) ) )).
fof(dt_k1_finseq_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,A) ) => m2_finseq_1(k1_finseq_7(A,B,C,D),A) ) )).
fof(dt_k1_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k1_finseq_8(A,B,C)) & v1_funct_1(k1_finseq_8(A,B,C)) & v1_finseq_1(k1_finseq_8(A,B,C)) ) ) )).
fof(dt_k1_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_finseq_1(E,A) & m1_finseq_1(F,B) ) => m2_finseq_1(k1_finseqop(A,B,C,D,E,F),C) ) )).
fof(dt_k1_finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => m1_subset_1(k1_finsop_1(A,B,C),A) ) )).
fof(dt_k1_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k1_finsub_1(A,B,C),A) ) )).
fof(dt_k1_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_fintopo2(A,B,C,D),k5_margrel1) ) )).
fof(dt_k1_fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_fintopo3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_fintopo4(A),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) )).
fof(dt_k1_fintopo5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k1_fintopo5(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k1_fintopo6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k1_fintopo6(A,B)) & v1_orders_2(k1_fintopo6(A,B)) & m1_fintopo6(k1_fintopo6(A,B),A) ) ) )).
fof(dt_k1_flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k3_catalan2(A)) & m1_subset_1(C,k3_catalan2(A)) ) => m1_subset_1(k1_flang_1(A,B,C),k3_catalan2(A)) ) )).
fof(dt_k1_flang_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(k1_flang_2(A,B,C,D),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k1_flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => m1_subset_1(k1_flang_3(A,B,C),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k1_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_fomodel0(A,B)) & v1_funct_1(k1_fomodel0(A,B)) ) ) )).
fof(dt_k1_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k1_fomodel2(A),k1_fomodel1(A)) ) )).
fof(dt_k1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) => m2_subset_1(k1_fomodel3(A,B,C),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k1_frechet,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(k3_pcomps_1(A))) ) => m1_subset_1(k1_frechet(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) )).
fof(dt_k1_frechet2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_frechet2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & v7_ordinal1(B) ) => m5_margrel1(k1_freealg(A,B),u1_struct_0(A),k1_unialg_2(A)) ) )).
fof(dt_k1_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k1_fscirc_1(A,B,C),u1_struct_0(k8_facirc_1(A,B,C,k1_facirc_1)),k3_msafree2(k8_facirc_1(A,B,C,k1_facirc_1))) )).
fof(dt_k1_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ~ v2_struct_0(k1_fscirc_2(A,B,C)) & ~ v11_struct_0(k1_fscirc_2(A,B,C)) & v1_msualg_1(k1_fscirc_2(A,B,C)) & v1_circcomb(k1_fscirc_2(A,B,C)) & v2_circcomb(k1_fscirc_2(A,B,C)) & v3_circcomb(k1_fscirc_2(A,B,C)) & l1_msualg_1(k1_fscirc_2(A,B,C)) ) ) )).
fof(dt_k1_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k1_fsm_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k1_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(E) & v1_funct_2(E,k2_tarski(C,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C,D),B))) ) => ( ~ v2_struct_0(k1_fsm_2(A,B,C,D,E)) & v6_fsm_2(k1_fsm_2(A,B,C,D,E),A,B) & l2_fsm_2(k1_fsm_2(A,B,C,D,E),A,B) ) ) )).
fof(dt_k1_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ( v1_rewrite3(k1_fsm_3(A,B,C),k9_flang_1(A)) & l1_rewrite3(k1_fsm_3(A,B,C),k9_flang_1(A)) ) ) )).
fof(dt_k1_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v2_struct_0(k1_ftacell1(A,B,C,D,E)) & ~ v11_struct_0(k1_ftacell1(A,B,C,D,E)) & v1_msualg_1(k1_ftacell1(A,B,C,D,E)) & v1_circcomb(k1_ftacell1(A,B,C,D,E)) & v2_circcomb(k1_ftacell1(A,B,C,D,E)) & v3_circcomb(k1_ftacell1(A,B,C,D,E)) & l1_msualg_1(k1_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k1_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_funcop_1(A)) & v1_funct_1(k1_funcop_1(A)) ) ) )).
fof(dt_k1_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k9_funct_2(A,B),k9_funct_2(A,B)),k9_funct_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,B),k9_funct_2(A,B)),k9_funct_2(A,B)))) & m1_subset_1(D,k9_funct_2(A,B)) & m1_subset_1(E,k9_funct_2(A,B)) ) => m2_funct_2(k1_funcsdom(A,B,C,D,E),A,B,k9_funct_2(A,B)) ) )).
fof(dt_k1_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_funct_3(A)) & v1_funct_1(k1_funct_3(A)) ) ) )).
fof(dt_k1_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) ) ) )).
fof(dt_k1_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_funct_5(A)) & v1_funct_1(k1_funct_5(A)) ) ) )).
fof(dt_k1_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k1_funct_6(A)) & v1_funct_1(k1_funct_6(A)) ) ) )).
fof(dt_k1_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) ) ) )).
fof(dt_k1_funct_8,axiom,( v1_funct_1(k1_funct_8) & v1_funct_2(k1_funct_8,k1_numbers,k1_numbers) & m1_subset_1(k1_funct_8,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k1_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k1_functor0(A,B,C,D)) & v1_funct_2(k1_functor0(A,B,C,D),k2_zfmisc_1(B,A),C) & m1_subset_1(k1_functor0(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) ) ) )).
fof(dt_k1_functor2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & m2_functor0(C,A,B) ) => m1_functor2(k1_functor2(A,B,C),A,B,C,C) ) )).
fof(dt_k1_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => ( v9_functor0(k1_functor3(A,B,C,D,E),A,C) & v15_functor0(k1_functor3(A,B,C,D,E),A,C) & m2_functor0(k1_functor3(A,B,C,D,E),A,C) ) ) )).
fof(dt_k1_fuznum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_xreal_0(C) ) => m1_subset_1(k1_fuznum_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k1_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k1_fuzzy_1(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k1_fuzzy_1(A,B,C)) & v1_funct_2(k1_fuzzy_1(A,B,C),A,k1_numbers) & m1_subset_1(k1_fuzzy_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k1_fuzzy_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k1_fuzzy_2(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k1_fuzzy_2(A,B,C)) & v1_funct_2(k1_fuzzy_2(A,B,C),A,k1_numbers) & m1_subset_1(k1_fuzzy_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k1_fuzzy_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),k1_numbers))) ) => ( v5_relat_1(k1_fuzzy_4(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k1_fuzzy_4(A,B,C)) & v1_funct_2(k1_fuzzy_4(A,B,C),k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(k1_fuzzy_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) ) )).
fof(dt_k1_fvaluat1,axiom,( ! [A] : ( v2_membered(A) => ( v2_xxreal_0(k1_fvaluat1(A)) & v1_fvaluat1(k1_fvaluat1(A)) ) ) )).
fof(dt_k1_fvsum_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_fvsum_1(A,B)) & v1_funct_2(k1_fvsum_1(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k1_fvsum_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_gaussint,axiom,( m1_subset_1(k1_gaussint,k1_zfmisc_1(k2_numbers)) )).
fof(dt_k1_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_gcd_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_finseq_1(B,k3_card_3(A)) & m1_finseq_1(C,k3_card_3(A)) & m1_subset_1(D,k4_ordinal1) ) => m2_finseq_1(k1_genealg1(A,B,C,D),k3_card_3(A)) ) )).
fof(dt_k1_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_geomtrap(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_gfacirc1,axiom,( v1_funct_1(k1_gfacirc1) & v1_funct_2(k1_gfacirc1,k4_finseq_2(1,k5_margrel1),k5_margrel1) & m1_subset_1(k1_gfacirc1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1,k5_margrel1),k5_margrel1))) )).
fof(dt_k1_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ~ v2_struct_0(k1_gfacirc2(A,B,C)) & ~ v11_struct_0(k1_gfacirc2(A,B,C)) & v1_msualg_1(k1_gfacirc2(A,B,C)) & v1_circcomb(k1_gfacirc2(A,B,C)) & v2_circcomb(k1_gfacirc2(A,B,C)) & v3_circcomb(k1_gfacirc2(A,B,C)) & l1_msualg_1(k1_gfacirc2(A,B,C)) ) ) )).
fof(dt_k1_glib_000,axiom,( m1_subset_1(k1_glib_000,k4_ordinal1) )).
fof(dt_k1_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m3_glib_001(k1_glib_001(A,B),A) ) )).
fof(dt_k1_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( ~ v1_xboole_0(k1_glib_002(A,B)) & m1_subset_1(k1_glib_002(A,B),k1_zfmisc_1(k6_glib_000(A))) ) ) )).
fof(dt_k1_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_subset_1(C,k1_zfmisc_1(B)) ) => m2_finseq_1(k1_glib_003(A,B,C),A) ) )).
fof(dt_k1_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => v1_xreal_0(k1_glib_004(A,B,C)) ) )).
fof(dt_k1_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => v1_xreal_0(k1_glib_005(A,B,C,D)) ) )).
fof(dt_k1_goboard1,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => m2_finseq_1(k1_goboard1(A),k1_numbers) ) )).
fof(dt_k1_goboard2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k1_numbers) & m1_finseq_1(B,k1_numbers) ) => ( v1_matrix_0(k1_goboard2(A,B)) & m2_finseq_1(k1_goboard2(A,B),k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(dt_k1_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => m1_subset_1(k1_goboard5(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k1_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ~ v1_xboole_0(k1_goboard9(A)) & v1_finseq_6(k1_goboard9(A),u1_struct_0(k15_euclid(2))) & v1_topreal1(k1_goboard9(A)) & v2_topreal1(k1_goboard9(A)) & v1_goboard5(k1_goboard9(A)) & v2_goboard5(k1_goboard9(A)) & m2_finseq_1(k1_goboard9(A),u1_struct_0(k15_euclid(2))) ) ) )).
fof(dt_k1_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => m1_subset_1(k1_gobrd13(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k1_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v1_qc_trans(k1_goedcpuc(A),A) & m1_qc_lang1(k1_goedcpuc(A)) ) ) )).
fof(dt_k1_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k1_goedelcp(A),k1_zfmisc_1(k3_cqc_lang(A))) ) )).
fof(dt_k1_gr_cy_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_numbers) => m1_subset_1(k1_gr_cy_1(A),k4_numbers) ) )).
fof(dt_k1_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => v7_ordinal1(k1_gr_cy_3(A)) ) )).
fof(dt_k1_graph_1,axiom,( ! [A] : ! [B] : ( ( l1_graph_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k1_graph_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k1_graph_2(A,B,C)) & v1_funct_1(k1_graph_2(A,B,C)) & v1_finseq_1(k1_graph_2(A,B,C)) ) ) )).
fof(dt_k1_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(k1_graph_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,k1_numbers) & v1_xreal_0(C) ) => m2_finseq_1(k1_graphsp(A,B,C),k1_numbers) ) )).
fof(dt_k1_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_grcat_1(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k1_grnilp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k1_grnilp_1(A,B,C)) & m1_group_2(k1_grnilp_1(A,B,C),A) ) ) )).
fof(dt_k1_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => m1_subset_1(k1_groeb_1(A,B,C),k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) ) )).
fof(dt_k1_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( v1_relat_1(k1_groeb_2(A,B,C)) & v4_relat_1(k1_groeb_2(A,B,C),A) & v1_funct_1(k1_groeb_2(A,B,C)) & v1_partfun1(k1_groeb_2(A,B,C),A) & v4_valued_0(k1_groeb_2(A,B,C)) & v2_pre_poly(k1_groeb_2(A,B,C)) ) ) )).
fof(dt_k1_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => m1_subset_1(k1_groeb_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) ) )).
fof(dt_k1_group_1,axiom,( ! [A] : ( l3_algstr_0(A) => m1_subset_1(k1_group_1(A),u1_struct_0(A)) ) )).
fof(dt_k1_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( v1_funct_1(k1_group_10(A,B,C,D)) & v1_funct_2(k1_group_10(A,B,C,D),B,B) & m1_subset_1(k1_group_10(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) )).
fof(dt_k1_group_11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_group_2(C,A) ) => m1_subset_1(k1_group_11(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k1_group_12(A,B,C),k1_zfmisc_1(u1_struct_0(k2_group_7(A,B)))) ) )).
fof(dt_k1_group_14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k1_group_14(A,B,C,D,E)) & v1_funct_2(k1_group_14(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v13_vectsp_1(k1_group_14(A,B,C,D,E),A,C) & m1_subset_1(k1_group_14(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) )).
fof(dt_k1_group_17,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,B) ) => m1_subset_1(k1_group_17(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_subset_1(k1_group_18(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k1_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m2_finseq_1(k1_group_19(A,B),A) ) )).
fof(dt_k1_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_group_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => m2_finseq_1(k1_group_4(A,B,C),A) ) )).
fof(dt_k1_group_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m2_finseq_1(k1_group_5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k1_group_6(A,B,C)) & v1_group_3(k1_group_6(A,B,C),B) & m1_group_6(k1_group_6(A,B,C),A,B) ) ) )).
fof(dt_k1_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(k1_group_7(A,B,C)) & l3_algstr_0(k1_group_7(A,B,C)) ) ) )).
fof(dt_k1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => m1_subset_1(k1_group_9(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k1_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => v7_ordinal1(k1_groupp_1(A,B)) ) )).
fof(dt_k1_grsolv_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_group_2(D,A) ) => ( v1_funct_1(k1_grsolv_1(A,B,C,D)) & v1_funct_2(k1_grsolv_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v1_group_6(k1_grsolv_1(A,B,C,D),D,B) & m1_subset_1(k1_grsolv_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) ) )).
fof(dt_k1_hahnban1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k1_hahnban1(A,B),u1_struct_0(k1_complfld)) ) )).
fof(dt_k1_hausdorf,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => v1_xreal_0(k1_hausdorf(A,B,C)) ) )).
fof(dt_k1_heine,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( v1_funct_1(k1_heine(A,B)) & v1_funct_2(k1_heine(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k1_heine(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_helly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k1_helly(A,B)) & v1_funct_1(k1_helly(A,B)) & v1_finseq_1(k1_helly(A,B)) ) ) )).
fof(dt_k1_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k1_henmodel(A)) ) )).
fof(dt_k1_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k1_hermitan(A,B)) & v1_funct_2(k1_hermitan(A,B),u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(k1_hermitan(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k1_heyting1,axiom,( ! [A] : ~ v1_xboole_0(k1_heyting1(A)) )).
fof(dt_k1_heyting3,axiom,( ! [A] : ! [B] : l1_orders_2(k1_heyting3(A,B)) )).
fof(dt_k1_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => m2_subset_1(k1_hilbasis(A,B,C),k14_pre_poly(k1_nat_1(A,1)),k15_pre_poly(k1_nat_1(A,1))) ) )).
fof(dt_k1_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => m1_subset_1(k1_hilbert2(A),k1_hilbert1) ) )).
fof(dt_k1_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_funct_1(k1_hilbert3(A,B,C,D)) & v1_funct_2(k1_hilbert3(A,B,C,D),k9_funct_2(A,B),k9_funct_2(A,B)) & m1_subset_1(k1_hilbert3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,B),k9_funct_2(A,B)))) ) ) )).
fof(dt_k1_hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_finseq_1(B,u1_struct_0(k13_polynom3(A))) & m1_subset_1(C,k4_ordinal1) ) => m2_finseq_1(k1_hurwitz(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_hurwitz2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_hurwitz2(A,B)) & v1_funct_2(k1_hurwitz2(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k1_hurwitz2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k1_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v3_card_1(k1_idea_1(A),A) & m2_finseq_1(k1_idea_1(A),k5_margrel1) ) ) )).
fof(dt_k1_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k1_ideal_1(A,B)) & v1_funct_2(k1_ideal_1(A,B),k2_zfmisc_1(B,B),B) & m1_subset_1(k1_ideal_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) ) )).
fof(dt_k1_incsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v15_incsp_1(A) & l2_incsp_1(A) & m1_subset_1(B,u1_incsp_1(A)) & m1_subset_1(C,u1_incsp_1(A)) ) => m1_subset_1(k1_incsp_1(A,B,C),u2_incsp_1(A)) ) )).
fof(dt_k1_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_cat_1(k1_index_1(A,B),k5_cat_5(A,B),k6_cat_5(A,B)) ) )).
fof(dt_k1_instalg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) & l3_msualg_1(C,B) & v1_relat_1(D) & v1_funct_1(D) & v1_relat_1(E) & v1_funct_1(E) ) => ( v3_msualg_1(k1_instalg1(A,B,C,D,E),A) & l3_msualg_1(k1_instalg1(A,B,C,D,E),A) ) ) )).
fof(dt_k1_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => v1_int_1(k1_int_1(A)) ) )).
fof(dt_k1_int_2,axiom,( ! [A] : ( v1_int_1(A) => m1_subset_1(k1_int_2(A),k4_ordinal1) ) )).
fof(dt_k1_int_3,axiom,( l6_algstr_0(k1_int_3) )).
fof(dt_k1_int_4,axiom,( ! [A] : ( v1_int_1(A) => m1_subset_1(k1_int_4(A),k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers))) ) )).
fof(dt_k1_int_5,axiom,( ! [A] : ( m1_finseq_1(A,k4_numbers) => ( v1_funct_1(k1_int_5(A)) & v1_funct_2(k1_int_5(A),k4_numbers,k4_numbers) & m1_subset_1(k1_int_5(A),k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers))) ) ) )).
fof(dt_k1_int_6,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k1_int_6(A,B)) & v1_funct_1(k1_int_6(A,B)) & v1_finseq_1(k1_int_6(A,B)) ) ) )).
fof(dt_k1_int_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k1_int_7(A)) & v1_finset_1(k1_int_7(A)) & m1_subset_1(k1_int_7(A),k1_zfmisc_1(k4_ordinal1)) ) ) )).
fof(dt_k1_integr10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) ) => v1_xreal_0(k1_integr10(A,B,C)) ) )).
fof(dt_k1_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) & m1_integr15(D,A,B,C) ) => v1_xreal_0(k1_integr15(A,B,C,D)) ) )).
fof(dt_k1_integr16,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m2_finseq_1(k1_integr16(A),k1_numbers) ) )).
fof(dt_k1_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & m1_integra1(D,B) & m1_integr18(E,A,B,C,D) ) => m1_subset_1(k1_integr18(A,B,C,D,E),u1_struct_0(A)) ) )).
fof(dt_k1_integr1c,axiom,( v1_funct_1(k1_integr1c) & v1_funct_2(k1_integr1c,k2_zfmisc_1(k1_numbers,k1_numbers),k2_numbers) & m1_subset_1(k1_integr1c,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_numbers))) )).
fof(dt_k1_integr20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => v1_xreal_0(k1_integr20(A)) ) )).
fof(dt_k1_integra2,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => m1_subset_1(k1_integra2(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_integra3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) ) => v1_xreal_0(k1_integra3(A,B)) ) )).
fof(dt_k1_integra5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( v1_funct_1(k1_integra5(A,B)) & m1_subset_1(k1_integra5(A,B),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k1_integra8,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_integra8(A)) & v1_funct_2(k1_integra8(A),k1_numbers,k1_numbers) & m1_subset_1(k1_integra8(A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k1_integra9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k1_integra9(A,B,C)) ) )).
fof(dt_k1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k1_interva1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k1_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k1_irrat_1(A)) & v1_funct_2(k1_irrat_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k1_irrat_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_isocat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => m2_cat_1(k1_isocat_1(A,B,C),B,A) ) )).
fof(dt_k1_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => ( v1_funct_1(k1_isocat_2(A,B,C,D)) & v1_funct_2(k1_isocat_2(A,B,C,D),k2_zfmisc_1(A,B),C) & m1_subset_1(k1_isocat_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) ) )).
fof(dt_k1_isomichi,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_isomichi(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_jct_misc,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => v1_xreal_0(k1_jct_misc(A,B)) ) )).
fof(dt_k1_jgraph_1,axiom,( ! [A] : l1_graph_1(k1_jgraph_1(A)) )).
fof(dt_k1_jgraph_2,axiom,( v1_funct_1(k1_jgraph_2) & v1_funct_2(k1_jgraph_2,k8_struct_0(k15_euclid(2)),k8_struct_0(k15_euclid(2))) & m1_subset_1(k1_jgraph_2,k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k15_euclid(2)),k8_struct_0(k15_euclid(2))))) )).
fof(dt_k1_jgraph_3,axiom,( v1_funct_1(k1_jgraph_3) & v1_funct_2(k1_jgraph_3,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k1_jgraph_3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) )).
fof(dt_k1_jgraph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k1_jgraph_4(A)) & v1_funct_2(k1_jgraph_4(A),u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k1_jgraph_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k1_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_subset_1(k1_jgraph_6(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k1_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,B))) ) => m1_subset_1(k1_jordan(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k1_jordan11(A),k4_ordinal1) ) )).
fof(dt_k1_jordan13,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ~ v1_xboole_0(k1_jordan13(A,B)) & ~ v3_funct_1(k1_jordan13(A,B)) & v1_finseq_6(k1_jordan13(A,B),u1_struct_0(k15_euclid(2))) & v1_topreal1(k1_jordan13(A,B)) & v2_topreal1(k1_jordan13(A,B)) & v1_goboard5(k1_jordan13(A,B)) & v2_goboard5(k1_jordan13(A,B)) & v1_sprect_2(k1_jordan13(A,B)) & m2_finseq_1(k1_jordan13(A,B),u1_struct_0(k15_euclid(2))) ) ) )).
fof(dt_k1_jordan14,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => m1_subset_1(k1_jordan14(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_jordan18,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k1_jordan18(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k1_jordan19(A)) & v1_funct_2(k1_jordan19(A),k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(k1_jordan19(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))))) ) ) )).
fof(dt_k1_jordan1a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v7_ordinal1(k1_jordan1a(A)) ) )).
fof(dt_k1_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => m2_finseq_1(k1_jordan1e(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_jordan1h,axiom,( m1_subset_1(k1_jordan1h,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k1_jordan1k,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v1_xreal_0(k1_jordan1k(A,B,C)) ) )).
fof(dt_k1_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k1_jordan21(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_jordan24,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_jordan24(A)) & v1_funct_2(k1_jordan24(A),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k1_jordan24(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) ) )).
fof(dt_k1_jordan2b,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k1_jordan2b(A),u1_struct_0(k15_euclid(1))) ) )).
fof(dt_k1_jordan2c,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m1_subset_1(k1_jordan2c(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k1_jordan3,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k1_jordan3(A,B),k4_ordinal1) ) )).
fof(dt_k1_jordan4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => v7_ordinal1(k1_jordan4(A,B)) ) )).
fof(dt_k1_jordan5c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k1_jordan5c(A,B,C,D),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k1_jordan5d(A)) ) )).
fof(dt_k1_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k1_jordan6(A,B,C),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k1_jordan7(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k1_jordan8,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( v1_matrix_0(k1_jordan8(A,B)) & m2_finseq_1(k1_jordan8(A,B),k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(dt_k1_jordan9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ~ v1_xboole_0(k1_jordan9(A,B)) & ~ v3_funct_1(k1_jordan9(A,B)) & v1_finseq_6(k1_jordan9(A,B),u1_struct_0(k15_euclid(2))) & v1_topreal1(k1_jordan9(A,B)) & v2_topreal1(k1_jordan9(A,B)) & v1_goboard5(k1_jordan9(A,B)) & v2_goboard5(k1_jordan9(A,B)) & v1_sprect_2(k1_jordan9(A,B)) & m2_finseq_1(k1_jordan9(A,B),u1_struct_0(k15_euclid(2))) ) ) )).
fof(dt_k1_knaster,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v6_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => m1_subset_1(k1_knaster(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k1_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(B)) & m2_prob_1(D,A,B) ) => m1_subset_1(k1_kolmog01(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k1_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_subset_1(k1_kurato_0(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k1_kurato_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => m1_subset_1(k1_kurato_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) ) => ( v1_funct_1(k1_lagra4sq(A)) & v1_funct_2(k1_lagra4sq(A),k4_numbers,k6_ordinal1(A)) & m1_subset_1(k1_lagra4sq(A),k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k6_ordinal1(A)))) ) ) )).
fof(dt_k1_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => m1_subset_1(k1_laplace(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k1_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A),k1_group_3(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k1_latsubgr(A),k1_zfmisc_1(k2_zfmisc_1(k1_group_3(A),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k1_latsum_1,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ( v1_orders_2(k1_latsum_1(A,B)) & l1_orders_2(k1_latsum_1(A,B)) ) ) )).
fof(dt_k1_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => v1_relat_1(k1_lattad_1(A)) ) )).
fof(dt_k1_lattice2,axiom,( ! [A] : ( l3_lattices(A) => ( v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) ) ) )).
fof(dt_k1_lattice3,axiom,( ! [A] : ( v3_lattices(k1_lattice3(A)) & l3_lattices(k1_lattice3(A)) ) )).
fof(dt_k1_lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) ) => m1_subset_1(k1_lattice4(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_lattice5,axiom,( ! [A] : ( v3_orders_2(k1_lattice5(A)) & v4_orders_2(k1_lattice5(A)) & v5_orders_2(k1_lattice5(A)) & l1_orders_2(k1_lattice5(A)) ) )).
fof(dt_k1_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_lattice6(A,B),k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) ) )).
fof(dt_k1_lattice7,axiom,( ! [A] : ! [B] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_lattice7(A,B),k4_ordinal1) ) )).
fof(dt_k1_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => m1_subset_1(k1_latticea(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_lexbfs(A,B)) & v1_funct_1(k1_lexbfs(A,B)) ) ) )).
fof(dt_k1_lfuzzy_0,axiom,( ! [A] : ( v3_membered(A) => ( v1_orders_2(k1_lfuzzy_0(A)) & v1_lfuzzy_0(k1_lfuzzy_0(A)) & l1_orders_2(k1_lfuzzy_0(A)) ) ) )).
fof(dt_k1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k1_lfuzzy_1(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k1_lfuzzy_1(A,B,C)) & v1_funct_2(k1_lfuzzy_1(A,B,C),A,k1_numbers) & m1_subset_1(k1_lfuzzy_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k1_limfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k1_limfunc1(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_limfunc2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => v1_xreal_0(k1_limfunc2(A,B)) ) )).
fof(dt_k1_limfunc3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => v1_xreal_0(k1_limfunc3(A,B)) ) )).
fof(dt_k1_lmod_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) ) => m1_subset_1(k1_lmod_6(A,B,C),k3_vectsp_5(A,B)) ) )).
fof(dt_k1_lmod_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => m1_lmod_7(k1_lmod_7(A,B),A,B) ) )).
fof(dt_k1_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(B,A,A) & v1_lopban_1(B,A,A) & v2_lopban_1(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(C,A,A) & v1_lopban_1(C,A,A) & v2_lopban_1(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k1_lopban_2(A,B,C)) & v1_funct_2(k1_lopban_2(A,B,C),u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(k1_lopban_2(A,B,C),A,A) & v1_lopban_1(k1_lopban_2(A,B,C),A,A) & v2_lopban_1(k1_lopban_2(A,B,C),A,A) & m1_subset_1(k1_lopban_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k1_lopban_3(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_lopban_4(A,B)) & v1_funct_2(k1_lopban_4(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k1_lopban_4(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k1_lopban_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k1_lopban_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k1_lopban_7(A,B,C,D),u1_struct_0(k7_prvect_3(A,B))) ) )).
fof(dt_k1_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_lp_space,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k1_lp_space(A,B)) & v1_funct_2(k1_lp_space(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k1_lp_space(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => m2_rfunct_3(k1_lpspacc1(A,B,C,D),A,k2_numbers,k3_rfunct_3(A,k2_numbers)) ) )).
fof(dt_k1_lpspace1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & v1_lpspace1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k1_lpspace1(A,B)) & v1_funct_2(k1_lpspace1(A,B),k2_zfmisc_1(k1_numbers,B),B) & m1_subset_1(k1_lpspace1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,B),B))) ) ) )).
fof(dt_k1_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v1_xboole_0(k1_lpspace2(A,B,C,D)) & m1_subset_1(k1_lpspace2(A,B,C,D),k1_zfmisc_1(u1_struct_0(k7_lpspace1(A)))) ) ) )).
fof(dt_k1_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => m1_subset_1(k1_ltlaxio1(A),k1_hilbert1) ) )).
fof(dt_k1_ltlaxio2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m1_subset_1(k1_ltlaxio2(A,B),k1_hilbert1) ) )).
fof(dt_k1_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_mathmorp(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_matrix10,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k1_matrix10(A)) & m2_finseq_1(k1_matrix10(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k1_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_subset_1(C,k9_matrix_1(k1_nat_1(A,2))) ) => ( v1_funct_1(k1_matrix11(A,B,C)) & v1_funct_2(k1_matrix11(A,B,C),k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))),u1_struct_0(B)) & m1_subset_1(k1_matrix11(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))),u1_struct_0(B)))) ) ) )).
fof(dt_k1_matrix12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( v1_matrix_0(k1_matrix12(A,B,C,D,E,F)) & v2_matrix_0(k1_matrix12(A,B,C,D,E,F),u1_struct_0(C),A,B) & m2_finseq_1(k1_matrix12(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k1_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,k4_finseq_2(C,k4_ordinal1)) & m1_subset_1(F,k4_finseq_2(D,k4_ordinal1)) ) => ( v1_matrix_0(k1_matrix13(A,B,C,D,E,F)) & v2_matrix_0(k1_matrix13(A,B,C,D,E,F),A,C,D) & m2_finseq_1(k1_matrix13(A,B,C,D,E,F),k3_finseq_2(A)) ) ) )).
fof(dt_k1_matrix14,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,k4_ordinal1) ) => m2_finseq_1(k1_matrix14(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v1_matrix_0(E) & v2_matrix_0(E,A,B,C) & m1_finseq_1(E,k3_finseq_2(A)) & v1_matrix_0(F) & v2_matrix_0(F,A,B,D) & m1_finseq_1(F,k3_finseq_2(A)) ) => ( v1_matrix_0(k1_matrix15(A,B,C,D,E,F)) & v2_matrix_0(k1_matrix15(A,B,C,D,E,F),A,B,k2_xcmplx_0(k1_matrix_0(E),k1_matrix_0(F))) & m2_finseq_1(k1_matrix15(A,B,C,D,E,F),k3_finseq_2(A)) ) ) )).
fof(dt_k1_matrix16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v1_matrix_0(k1_matrix16(A,B)) & v2_matrix_0(k1_matrix16(A,B),A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(k1_matrix16(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k1_matrix17,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v1_matrix_0(k1_matrix17(A,B)) & v2_matrix_0(k1_matrix17(A,B),A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(k1_matrix17(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k1_matrix_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_matrix_0(A) ) => v7_ordinal1(k1_matrix_0(A)) ) )).
fof(dt_k1_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v1_matrix_0(k1_matrix_3(A,B,C)) & v2_matrix_0(k1_matrix_3(A,B,C),u1_struct_0(A),B,C) & m2_finseq_1(k1_matrix_3(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k1_matrix_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( v1_matrix_0(k1_matrix_4(A,B,C)) & m2_finseq_1(k1_matrix_4(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k1_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k1_matrix_5(A)) & m2_finseq_1(k1_matrix_5(A),k3_finseq_2(u1_struct_0(k1_complfld))) ) ) )).
fof(dt_k1_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_0(k1_matrix_6(A,B,C)) & v2_matrix_0(k1_matrix_6(A,B,C),u1_struct_0(B),A,A) & m2_finseq_1(k1_matrix_6(A,B,C),k3_finseq_2(u1_struct_0(B))) ) ) )).
fof(dt_k1_matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_matrix_0(k1_matrix_7(A,B,C,D)) & v2_matrix_0(k1_matrix_7(A,B,C,D),u1_struct_0(B),A,A) & m2_finseq_1(k1_matrix_7(A,B,C,D),k3_finseq_2(u1_struct_0(B))) ) ) )).
fof(dt_k1_matrix_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => m1_subset_1(k1_matrix_8(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k1_matrix_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_funct_1(k1_matrix_9(A,B,C)) & v1_funct_2(k1_matrix_9(A,B,C),k9_matrix_1(A),u1_struct_0(B)) & m1_subset_1(k1_matrix_9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A),u1_struct_0(B)))) ) ) )).
fof(dt_k1_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k1_matrixc1(A)) & m2_finseq_1(k1_matrixc1(A),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k1_matrixj1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => m1_subset_1(k1_matrixj1(A,B),k4_ordinal1) ) )).
fof(dt_k1_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( v1_matrix_0(k1_matrixj2(A,B,C)) & m2_finseq_1(k1_matrixj2(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k1_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k1_matrixr1(A)) & m2_finseq_1(k1_matrixr1(A),k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) ) )).
fof(dt_k1_matrixr2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k1_matrixr2(A,B,C)) & v2_matrix_0(k1_matrixr2(A,B,C),k1_numbers,A,A) & m2_finseq_1(k1_matrixr2(A,B,C),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k1_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => ( v1_matrix_0(k1_matrlin(A,B,C)) & m2_finseq_1(k1_matrlin(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k1_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_finseq_1(E,u1_struct_0(B)) & m1_matrlin(F,A,C) ) => ( v1_matrix_0(k1_matrlin2(A,B,C,D,E,F)) & v2_matrix_0(k1_matrlin2(A,B,C,D,E,F),u1_struct_0(A),k3_finseq_1(E),k3_finseq_1(F)) & m2_finseq_1(k1_matrlin2(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k1_matroid0,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(k1_matroid0(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_matrprob,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => m2_finseq_1(k1_matrprob(A,B,C),A) ) )).
fof(dt_k1_matrtop1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => m2_finseq_1(k1_matrtop1(A),u1_struct_0(k2_vectsp_1)) ) )).
fof(dt_k1_matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_matrix_0(k1_matrtop3(A,B)) & v2_matrix_0(k1_matrtop3(A,B),u1_struct_0(k2_vectsp_1),A,A) & v1_matrix_6(k1_matrtop3(A,B),A,k2_vectsp_1) & m2_finseq_1(k1_matrtop3(A,B),k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) ) )).
fof(dt_k1_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_mazurulm(A,B)) & v1_funct_2(k1_mazurulm(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k1_mazurulm(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_mboolean(A,B)) & v4_relat_1(k1_mboolean(A,B),A) & v1_funct_1(k1_mboolean(A,B)) & v1_partfun1(k1_mboolean(A,B),A) ) ) )).
fof(dt_k1_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k3_zfmisc_1(A,B,C)) ) => m1_subset_1(k1_mcart_1(A,B,C,D),A) ) )).
fof(dt_k1_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => m2_subset_1(k1_measure1(A,B,C,D),k1_zfmisc_1(A),B) ) )).
fof(dt_k1_measure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_measure2(C,A,B) ) => m2_subset_1(k1_measure2(A,B,C),k1_zfmisc_1(A),B) ) )).
fof(dt_k1_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => m1_measure2(k1_measure3(A,B,C),A,B) ) )).
fof(dt_k1_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( ~ v1_xboole_0(k1_measure4(A,B)) & m1_subset_1(k1_measure4(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k1_measure5,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => m1_subset_1(k1_measure5(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_measure6,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => m1_subset_1(k1_measure6(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_measure7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v1_funct_1(k1_measure7(A,B)) & v1_funct_2(k1_measure7(A,B),k4_ordinal1,k6_numbers) & m1_subset_1(k1_measure7(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k1_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_measure8(C,A,B) & v7_ordinal1(D) ) => m2_subset_1(k1_measure8(A,B,C,D),k1_zfmisc_1(A),B) ) )).
fof(dt_k1_member_1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => m1_subset_1(k1_member_1(A),k6_numbers) ) )).
fof(dt_k1_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_memstr_0(k1_memstr_0(A),A) & l1_memstr_0(k1_memstr_0(A),A) ) ) )).
fof(dt_k1_mesfun6c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => v1_xcmplx_0(k1_mesfun6c(A,B,C,D)) ) )).
fof(dt_k1_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k1_mesfun7c(A,B)) & v1_funct_2(k1_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(k1_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) ) )).
fof(dt_k1_mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) => ( v1_funct_1(k1_mesfun9c(A,B,C,D)) & v1_funct_2(k1_mesfun9c(A,B,C,D),k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(k1_mesfun9c(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) ) )).
fof(dt_k1_mesfunc1,axiom,( m1_subset_1(k1_mesfunc1,k1_zfmisc_1(k1_numbers)) )).
fof(dt_k1_mesfunc2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v1_funct_1(k1_mesfunc2(A,B)) & m1_subset_1(k1_mesfunc2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k1_mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => m1_subset_1(k1_mesfunc3(A,B,C,D),k6_numbers) ) )).
fof(dt_k1_mesfunc5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k1_mesfunc5(A,B)) & m1_subset_1(k1_mesfunc5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k1_mesfunc6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(k1_mesfunc6(A,B,C,D),k6_numbers) ) )).
fof(dt_k1_mesfunc7,axiom,( v1_funct_1(k1_mesfunc7) & v1_funct_2(k1_mesfunc7,k2_zfmisc_1(k6_numbers,k6_numbers),k6_numbers) & m1_subset_1(k1_mesfunc7,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_numbers,k6_numbers),k6_numbers))) )).
fof(dt_k1_mesfunc8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k1_mesfunc8(A,B)) & m1_subset_1(k1_mesfunc8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k1_mesfunc9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => ( v1_funct_1(k1_mesfunc9(A)) & v1_funct_2(k1_mesfunc9(A),k4_ordinal1,k6_numbers) & m1_subset_1(k1_mesfunc9(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k1_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k1_metric_1(A,B,C)) ) )).
fof(dt_k1_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_metric_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_metric_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( v1_funct_1(k1_metric_3(A,B)) & v1_funct_2(k1_metric_3(A,B),k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers) & m1_subset_1(k1_metric_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k1_numbers))) ) ) )).
fof(dt_k1_metric_6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v1_funct_1(k1_metric_6(A,B)) & v1_funct_2(k1_metric_6(A,B),k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(k1_metric_6(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) ) )).
fof(dt_k1_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => m1_subset_1(k1_mfold_0(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_pre_topc(k1_mfold_1(A,B,C),k15_euclid(A)) ) )).
fof(dt_k1_mfold_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => ( v1_funct_1(k1_mfold_2(A,B)) & v1_funct_2(k1_mfold_2(A,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k1_mfold_2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k1_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_midsp_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_midsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_midsp_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(B,A)) & v7_ordinal1(D) & m1_subset_1(E,A) ) => m2_finseq_2(k1_midsp_3(A,B,C,D,E),A,k4_finseq_2(B,A)) ) )).
fof(dt_k1_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => v1_relat_1(k1_mmlquer2(A,B)) ) )).
fof(dt_k1_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => m1_subset_1(k1_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k1_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_mod_2(A)) & v13_algstr_0(k1_mod_2(A)) & v7_vectsp_1(k1_mod_2(A),A) & v8_vectsp_1(k1_mod_2(A),A) & v9_vectsp_1(k1_mod_2(A),A) & v10_vectsp_1(k1_mod_2(A),A) & v11_vectsp_1(k1_mod_2(A),A) & v2_rlvect_1(k1_mod_2(A)) & v3_rlvect_1(k1_mod_2(A)) & v4_rlvect_1(k1_mod_2(A)) & l1_vectsp_1(k1_mod_2(A),A) ) ) )).
fof(dt_k1_mod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k1_mod_4(A,B,C,D)) & v1_funct_2(k1_mod_4(A,B,C,D),k2_zfmisc_1(B,A),C) & m1_subset_1(k1_mod_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) ) ) )).
fof(dt_k1_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => m1_trees_1(k1_modal_1(A),A) ) )).
fof(dt_k1_modelc_2,axiom,( ! [A] : v7_ordinal1(k1_modelc_2(A)) )).
fof(dt_k1_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k1_modelc_3(A),k1_zfmisc_1(k9_modelc_2)) ) )).
fof(dt_k1_moebius1,axiom,( m1_subset_1(k1_moebius1,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k1_moebius2,axiom,( v1_funct_1(k1_moebius2) & v1_funct_2(k1_moebius2,k4_ordinal1,k1_numbers) & m1_subset_1(k1_moebius2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k1_monoid_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_2(k1_monoid_0(A,B,C),A,k3_finseq_2(A)) ) )).
fof(dt_k1_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_morph_01(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m3_pboole(D,A,B) & m2_pboole(E,A,B,C) ) => m2_pboole(k1_msafree(A,B,C,D,E),A,D,C) ) )).
fof(dt_k1_msafree1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_prob_2(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => ( v1_funct_1(k1_msafree1(A,B,C,D)) & v1_funct_2(k1_msafree1(A,B,C,D),k3_card_3(B),k3_card_3(C)) & m1_subset_1(k1_msafree1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_card_3(B),k3_card_3(C)))) ) ) )).
fof(dt_k1_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => m1_subset_1(k1_msafree2(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k1_msafree3(A,B),A) & l3_msualg_1(k1_msafree3(A,B),A) ) ) )).
fof(dt_k1_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k1_msafree4(A,B,C),k10_xtuple_0(B)) ) )).
fof(dt_k1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) ) => m1_subset_1(k1_msafree5(A,B,C,D),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) )).
fof(dt_k1_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_msalimit(C,A,B) & m2_msalimit(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => m2_pboole(k1_msalimit(A,B,C,D,E,F),u1_struct_0(B),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,E)),u3_msualg_1(B,k5_pralg_2(u1_struct_0(A),B,C,F))) ) )).
fof(dt_k1_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_subset_1(k1_msaterm(A,B),k1_zfmisc_1(k5_trees_3(u1_struct_0(k5_msafree(A,B))))) ) )).
fof(dt_k1_msinst_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k1_msinst_1(A)) & v6_altcat_1(k1_msinst_1(A)) & l2_altcat_1(k1_msinst_1(A)) ) ) )).
fof(dt_k1_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => m3_pboole(k1_mssubfam(A,B),A,k1_mboolean(A,B)) ) )).
fof(dt_k1_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_finseq_2(k1_msualg_1(A,B),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) ) )).
fof(dt_k1_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_msualg_2(A,B,C),k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),C))) ) )).
fof(dt_k1_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) & m1_subset_1(E,A) ) => ( v1_funct_1(k1_msualg_3(A,B,C,D,E)) & v1_funct_2(k1_msualg_3(A,B,C,D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & m1_subset_1(k1_msualg_3(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) ) )).
fof(dt_k1_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m1_msualg_4(D,A,B,C) & m1_subset_1(E,A) ) => m1_subset_1(k1_msualg_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) )).
fof(dt_k1_msualg_5,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v1_partfun1(k1_msualg_5(A,B),A) & v3_relat_2(k1_msualg_5(A,B)) & v8_relat_2(k1_msualg_5(A,B)) & m1_subset_1(k1_msualg_5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k1_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,B,B) & m2_pboole(D,A,B,B) ) => m2_pboole(k1_msualg_6(A,B,C,D),A,B,B) ) )).
fof(dt_k1_msualg_7,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ~ v2_struct_0(k1_msualg_7(A,B)) & v3_lattices(k1_msualg_7(A,B)) & v10_lattices(k1_msualg_7(A,B)) & l3_lattices(k1_msualg_7(A,B)) ) ) )).
fof(dt_k1_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)))) ) => ( v2_msualg_4(k1_msualg_8(A,B,C),A,B) & v3_msualg_4(k1_msualg_8(A,B,C),A,B) & m1_msualg_4(k1_msualg_8(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k1_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & m2_pboole(E,A,B,k6_pboole(A,C,D)) ) => m2_pboole(k1_msualg_9(A,B,C,D,E),A,B,C) ) )).
fof(dt_k1_msuhom_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_msualg_1(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_msualg_1(B) & l1_msualg_1(B) & v3_msualg_1(C,B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ( v3_msualg_1(k1_msuhom_1(A,B,C),A) & v4_msualg_1(k1_msuhom_1(A,B,C),A) & l3_msualg_1(k1_msuhom_1(A,B,C),A) ) ) )).
fof(dt_k1_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_eqrel_1(k1_mycielsk(A,B,C),C) ) )).
fof(dt_k1_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & m1_subset_1(C,k4_ordinal1) ) => m1_subset_1(k1_nagata_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_nagata_2,axiom,( v1_funct_1(k1_nagata_2) & v1_funct_2(k1_nagata_2,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(k1_nagata_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) )).
fof(dt_k1_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) ) => m1_subset_1(k1_nat_1(A,B),k4_ordinal1) ) )).
fof(dt_k1_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k1_nat_3(A,B)) & v1_funct_1(k1_nat_3(A,B)) & v1_finseq_1(k1_nat_3(A,B)) ) ) )).
fof(dt_k1_nat_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) & v1_int_2(B) ) => m2_finseq_1(k1_nat_4(A,B),k4_ordinal1) ) )).
fof(dt_k1_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_relat_1(k1_nat_5(A,B,C)) & v4_relat_1(k1_nat_5(A,B,C),C) & v1_funct_1(k1_nat_5(A,B,C)) & v1_partfun1(k1_nat_5(A,B,C),C) & v4_valued_0(k1_nat_5(A,B,C)) & v2_pre_poly(k1_nat_5(A,B,C)) ) ) )).
fof(dt_k1_nat_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_1(B) ) => v1_int_1(k1_nat_6(A,B)) ) )).
fof(dt_k1_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k1_nat_d(A,B)) ) )).
fof(dt_k1_nat_lat,axiom,( v1_funct_1(k1_nat_lat) & v1_funct_2(k1_nat_lat,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(k1_nat_lat,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) )).
fof(dt_k1_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => m1_nattra_1(k1_nattra_1(A,B,C),A,B,C,C) ) )).
fof(dt_k1_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( v1_funct_1(k1_nbvectsp(A)) & v1_funct_2(k1_nbvectsp(A),k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)) & m1_subset_1(k1_nbvectsp(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)))) ) ) )).
fof(dt_k1_ndiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k1_ndiff_1(A,B,C)) & v1_funct_2(k1_ndiff_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k1_ndiff_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k1_ndiff_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_xreal_0(C) ) => m1_subset_1(k1_ndiff_3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_xreal_0(C) ) => m2_finseq_2(k1_ndiff_4(A,B,C),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k1_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_prvect_2(A) & m1_subset_1(B,k4_card_3(k4_prvect_2(A))) & m1_subset_1(C,k4_finseq_1(A)) ) => m1_subset_1(k1_ndiff_5(A,B,C),u1_struct_0(k3_prvect_2(A,C))) ) )).
fof(dt_k1_ndiff_6,axiom,( ! [A] : ( ~ v2_struct_0(k1_ndiff_6(A)) & v13_algstr_0(k1_ndiff_6(A)) & v2_rlvect_1(k1_ndiff_6(A)) & v3_rlvect_1(k1_ndiff_6(A)) & v4_rlvect_1(k1_ndiff_6(A)) & v5_rlvect_1(k1_ndiff_6(A)) & v6_rlvect_1(k1_ndiff_6(A)) & v7_rlvect_1(k1_ndiff_6(A)) & v8_rlvect_1(k1_ndiff_6(A)) & v3_normsp_0(k1_ndiff_6(A)) & v4_normsp_0(k1_ndiff_6(A)) & v2_normsp_1(k1_ndiff_6(A)) & l1_normsp_1(k1_ndiff_6(A)) ) )).
fof(dt_k1_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) ) => ( v1_funct_1(k1_ndiff_7(A,B,C)) & v1_funct_2(k1_ndiff_7(A,B,C),u1_struct_0(A),u1_struct_0(k7_prvect_3(A,B))) & m1_subset_1(k1_ndiff_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k7_prvect_3(A,B))))) ) ) )).
fof(dt_k1_neckla_2,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ( v1_orders_2(k1_neckla_2(A,B)) & l1_orders_2(k1_neckla_2(A,B)) ) ) )).
fof(dt_k1_neckla_3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_neckla_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_orders_2(k1_necklace(A)) & l1_orders_2(k1_necklace(A)) ) ) )).
fof(dt_k1_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( v1_funct_1(k1_nfcont_4(A,B,C)) & m1_subset_1(k1_nfcont_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k1_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => m1_subset_1(k1_normform(A,B,C,D),k2_zfmisc_1(A,B)) ) )).
fof(dt_k1_normsp_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(k1_normsp_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_normsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_normsp_1(A,B,C)) & v1_funct_2(k1_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k1_normsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k1_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k1_normsp_2(A)) & v1_funct_2(k1_normsp_2(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(k1_normsp_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) ) )).
fof(dt_k1_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_normsp_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_ntalgo_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) ) => m1_subset_1(k1_ntalgo_1(A,B),k4_ordinal1) ) )).
fof(dt_k1_numeral1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v7_ordinal1(B) ) => v7_ordinal1(k1_numeral1(A,B)) ) )).
fof(dt_k1_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_xreal_0(k1_numpoly1(A)) ) )).
fof(dt_k1_openlatt,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(k1_openlatt(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_oposet_1,axiom,( v3_qmax_1(k1_oposet_1) & l2_qmax_1(k1_oposet_1) )).
fof(dt_k1_oppcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k1_oppcat_1(A,B,C,D)) & m1_subset_1(k1_oppcat_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) ) ) )).
fof(dt_k1_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => m1_subset_1(k1_ordeq_01(A,B),k1_zfmisc_1(u1_struct_0(k5_rsspace4(A,B)))) ) )).
fof(dt_k1_ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( v1_funct_1(k1_ordeq_02(A,B,C,D,E)) & v1_funct_2(k1_ordeq_02(A,B,C,D,E),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A)),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A))) & m1_subset_1(k1_ordeq_02(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A)),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),A))))) ) ) )).
fof(dt_k1_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_orders_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( v1_relat_1(k1_ordinal3(A,B)) & v5_ordinal1(k1_ordinal3(A,B)) & v1_funct_1(k1_ordinal3(A,B)) & v1_ordinal2(k1_ordinal3(A,B)) ) ) )).
fof(dt_k1_ordinal4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v5_ordinal1(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) ) ) )).
fof(dt_k1_ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k1_ordinal5(A,B)) ) )).
fof(dt_k1_ordinal6,axiom,( ! [A] : v3_ordinal1(k1_ordinal6(A)) )).
fof(dt_k1_ortsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => m1_subset_1(k1_ortsp_1(A,B,C,D,E),u1_struct_0(A)) ) )).
fof(dt_k1_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_subset_1(k1_osafree(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))))))) ) )).
fof(dt_k1_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ( ~ v2_struct_0(k1_osalg_1(A)) & ~ v11_struct_0(k1_osalg_1(A)) & v3_osalg_1(k1_osalg_1(A)) & v4_osalg_1(k1_osalg_1(A)) & l3_osalg_1(k1_osalg_1(A)) ) ) )).
fof(dt_k1_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_osalg_2(A,B,C),k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),C))) ) )).
fof(dt_k1_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_partfun1(k1_osalg_4(A),u1_struct_0(A)) & v3_relat_2(k1_osalg_4(A)) & v8_relat_2(k1_osalg_4(A)) & m1_subset_1(k1_osalg_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k1_parsp_1(A)) & v1_funct_2(k1_parsp_1(A),k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & m1_subset_1(k1_parsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))))) ) ) )).
fof(dt_k1_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( v1_funct_1(k1_partfun1(A,B,C,D,E,F)) & m1_subset_1(k1_partfun1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(A,D))) ) ) )).
fof(dt_k1_partfun2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( v1_funct_1(k1_partfun2(A,B)) & m1_subset_1(k1_partfun2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k1_partfun3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k1_partfun3(A)) & v1_funct_1(k1_partfun3(A)) ) ) )).
fof(dt_k1_partit_2,axiom,( ! [A] : ! [B] : m1_subset_1(k1_partit_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))) )).
fof(dt_k1_pboole,axiom,( ! [A] : ( v1_relat_1(k1_pboole(A)) & v4_relat_1(k1_pboole(A),A) & v1_funct_1(k1_pboole(A)) & v1_partfun1(k1_pboole(A),A) ) )).
fof(dt_k1_pcomps_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(k1_pcomps_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k1_pcs_0(A,B,C),k1_zfmisc_1(k2_xboole_0(A,B))) ) )).
fof(dt_k1_pdiff_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_funct_1(k1_pdiff_1(A,B)) & v1_funct_2(k1_pdiff_1(A,B),k1_euclid(B),k1_numbers) & m1_subset_1(k1_pdiff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_numbers))) ) ) )).
fof(dt_k1_pdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & m1_subset_1(D,k1_euclid(A)) ) => ( v1_funct_1(k1_pdiff_2(A,B,C,D)) & m1_subset_1(k1_pdiff_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k1_pdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_numbers))) ) => ( v1_funct_1(k1_pdiff_3(A,B,C)) & v1_funct_2(k1_pdiff_3(A,B,C),k1_euclid(B),k1_numbers) & m1_subset_1(k1_pdiff_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_numbers))) ) ) )).
fof(dt_k1_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k1_pdiff_5(A,B)) ) )).
fof(dt_k1_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & m1_subset_1(C,k1_euclid(A)) ) => ( v1_funct_1(k1_pdiff_7(A,B,C)) & v1_funct_2(k1_pdiff_7(A,B,C),k1_euclid(A),k1_numbers) & m1_subset_1(k1_pdiff_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) ) )).
fof(dt_k1_pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( v1_funct_1(k1_pdiff_9(A,B,C,D)) & m1_subset_1(k1_pdiff_9(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k9_funct_2(k1_euclid(A),k1_euclid(B))))) ) ) )).
fof(dt_k1_pencil_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & m1_subset_1(C,A) ) => l1_pre_topc(k1_pencil_1(A,B,C)) ) )).
fof(dt_k1_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => m2_finseq_1(k1_pencil_2(A,B,C,D),A) ) )).
fof(dt_k1_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => v7_ordinal1(k1_pencil_3(A,B,C)) ) )).
fof(dt_k1_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) ) => m1_subset_1(k1_pencil_4(A,B,C,D),k1_zfmisc_1(k3_vectsp_5(A,B))) ) )).
fof(dt_k1_pepin,axiom,( ! [A] : ( v1_int_1(A) => m1_subset_1(k1_pepin(A),k4_ordinal1) ) )).
fof(dt_k1_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(D) & v1_funct_2(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( ~ v1_xboole_0(k1_petri_2(A,B,C,D)) & m1_subset_1(k1_petri_2(A,B,C,D),k1_zfmisc_1(k9_funct_2(B,A))) ) ) )).
fof(dt_k1_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(k1_petri_3(A,B,C)) & ~ v11_struct_0(k1_petri_3(A,B,C)) & v2_petri(k1_petri_3(A,B,C)) & v3_petri(k1_petri_3(A,B,C)) & v3_petri_2(k1_petri_3(A,B,C)) & l1_petri_2(k1_petri_3(A,B,C)) ) ) )).
fof(dt_k1_petri_df,axiom,( ~ v2_struct_0(k1_petri_df) & ~ v11_struct_0(k1_petri_df) & v2_petri(k1_petri_df) & v3_petri(k1_petri_df) & l1_petri(k1_petri_df) )).
fof(dt_k1_pnproc_1,axiom,( ! [A] : ( v1_funct_1(k1_pnproc_1(A)) & v1_funct_2(k1_pnproc_1(A),A,k4_ordinal1) & m1_subset_1(k1_pnproc_1(A),k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) )).
fof(dt_k1_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A),A) & l1_polyalg1(k1_polyalg1(A),A) ) ) )).
fof(dt_k1_polyeq_5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(B) ) => v1_xcmplx_0(k1_polyeq_5(A,B)) ) )).
fof(dt_k1_polyform,axiom,( ! [A] : ( v1_int_1(A) => m2_finseq_1(k1_polyform(A),k4_numbers) ) )).
fof(dt_k1_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m2_finseq_1(k1_polynom1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & ~ v7_struct_0(C) & v4_vectsp_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => m1_subset_1(k1_polynom2(A,B,C,D),u1_struct_0(C)) ) )).
fof(dt_k1_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_finseq_1(C,A) ) => m2_finseq_1(k1_polynom3(A,B,C),A) ) )).
fof(dt_k1_polynom4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_polynom4(A,B)) & v1_funct_2(k1_polynom4(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k1_polynom4(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k1_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m1_subset_1(k1_polynom5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & m1_subset_1(C,k15_pre_poly(A)) & m1_subset_1(D,k15_pre_poly(B)) ) => m2_subset_1(k1_polynom6(A,B,C,D),k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) ) )).
fof(dt_k1_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( v1_funct_1(k1_polynom7(A,B,C,D)) & v1_funct_2(k1_polynom7(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(k1_polynom7(A,B,C,D),A,B) & m1_subset_1(k1_polynom7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k1_polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) ) => m1_subset_1(k1_polynom8(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & ~ v2_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k1_polyred(A,B,C,D)) & v1_funct_2(k1_polyred(A,B,C,D),k15_pre_poly(A),u1_struct_0(C)) & m1_subset_1(k1_polyred(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) )).
fof(dt_k1_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_poset_1(A,B,C)) ) )).
fof(dt_k1_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k3_yellow_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => ( ~ v1_xboole_0(k1_poset_2(A,B,C)) & v6_orders_2(k1_poset_2(A,B,C),A) & m1_subset_1(k1_poset_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k1_power,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => v1_xreal_0(k1_power(A,B)) ) )).
fof(dt_k1_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) ) => m2_finseq_1(k1_pralg_1(A,B,C),A) ) )).
fof(dt_k1_pralg_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_pralg_2(A)) & v1_funct_1(k1_pralg_2(A)) ) ) )).
fof(dt_k1_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_pre_ff(A),k4_ordinal1) ) )).
fof(dt_k1_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k3_finseq_2(A)) & m1_subset_1(C,k3_finseq_2(A)) ) => m2_finseq_2(k1_pre_poly(A,B,C),A,k3_finseq_2(A)) ) )).
fof(dt_k1_pre_topc,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & m1_pre_topc(k1_pre_topc(A,B),A) ) ) )).
fof(dt_k1_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => m1_subset_1(k1_prefer_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k1_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_prelamb(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_prepower(A)) & v1_funct_2(k1_prepower(A),k4_ordinal1,k1_numbers) & m1_subset_1(k1_prepower(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_prgcor_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v1_int_1(k1_prgcor_1(A,B)) ) )).
fof(dt_k1_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_subset_1(k1_prob_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k1_prob_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v7_ordinal1(D) ) => m1_prob_1(k1_prob_2(A,B,C,D),A,B) ) )).
fof(dt_k1_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k1_prob_3(A,B)) & v1_funct_2(k1_prob_3(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k1_prob_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k1_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(D,k4_ordinal1) ) => m2_subset_1(k1_prob_4(A,B,C,D),k1_zfmisc_1(A),B) ) )).
fof(dt_k1_projpl_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) & m1_subset_1(B,u1_incsp_1(A)) & m1_subset_1(C,u1_incsp_1(A)) ) => m1_subset_1(k1_projpl_1(A,B,C),u2_incsp_1(A)) ) )).
fof(dt_k1_projred1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) & m1_subset_1(B,u2_incsp_1(A)) & m1_subset_1(C,u2_incsp_1(A)) & m1_subset_1(D,u1_incsp_1(A)) ) => ( v1_funct_1(k1_projred1(A,B,C,D)) & m1_subset_1(k1_projred1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u1_incsp_1(A)))) ) ) )).
fof(dt_k1_projred2,axiom,( ! [A] : ! [B] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) & m1_subset_1(B,u2_incsp_1(A)) ) => m1_subset_1(k1_projred2(A,B),k1_zfmisc_1(u1_incsp_1(A))) ) )).
fof(dt_k1_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,k4_finseq_2(B,A)) & m1_subset_1(E,k4_finseq_2(B,A)) ) => m2_finseq_2(k1_prvect_1(A,B,C,D,E),A,k4_finseq_2(B,A)) ) )).
fof(dt_k1_prvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m1_prvect_2(C,A,B) & m1_subset_1(D,k4_finseq_1(A)) ) => ( v1_funct_1(k1_prvect_2(A,B,C,D)) & v1_funct_2(k1_prvect_2(A,B,C,D),k2_zfmisc_1(B,k1_funct_1(A,D)),k1_funct_1(A,D)) & m1_subset_1(k1_prvect_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,k1_funct_1(A,D)),k1_funct_1(A,D)))) ) ) )).
fof(dt_k1_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) ) => ( v1_funct_1(k1_prvect_3(A,B)) & v1_funct_2(k1_prvect_3(A,B),k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(k1_prvect_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) ) )).
fof(dt_k1_pscomp_1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => v1_xreal_0(k1_pscomp_1(A,B)) ) )).
fof(dt_k1_pua2mss1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) ) => m1_subset_1(k1_pua2mss1(A,B),k1_zfmisc_1(k4_partfun1(k3_finseq_2(A),A))) ) )).
fof(dt_k1_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_pzfmisc1(A,B)) & v4_relat_1(k1_pzfmisc1(A,B),A) & v1_funct_1(k1_pzfmisc1(A,B)) & v1_partfun1(k1_pzfmisc1(A,B),A) ) ) )).
fof(dt_k1_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k1_qc_lang1(A)) ) )).
fof(dt_k1_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k1_qc_lang2(A),k9_qc_lang1(A)) ) )).
fof(dt_k1_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k2_qc_lang1(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_qc_lang1(A))) ) => m1_subset_1(k1_qc_lang3(A,B,C),k1_zfmisc_1(C)) ) )).
fof(dt_k1_qc_lang4,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m2_finseq_1(k1_qc_lang4(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k1_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k1_qc_trans(A,B,C),k9_qc_lang1(B),k3_cqc_lang(B)) ) )).
fof(dt_k1_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_quantal1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_quatern2,axiom,( m1_subset_1(k1_quatern2,k1_quaterni) )).
fof(dt_k1_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => m1_subset_1(k1_quofield(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k1_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_radix_1(A),k4_ordinal1) ) )).
fof(dt_k1_radix_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,B) & m1_finseq_1(D,k4_radix_3(C)) & v3_card_1(E,B) & m1_finseq_1(E,k4_radix_3(C)) ) => m2_subset_1(k1_radix_4(A,B,C,D,E),k4_numbers,k4_radix_3(C)) ) )).
fof(dt_k1_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m2_subset_1(k1_radix_5(A,B,C),k4_numbers,k3_radix_1(C)) ) )).
fof(dt_k1_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,k2_xcmplx_0(B,2)) & m1_finseq_1(D,k3_radix_1(C)) ) => m1_subset_1(k1_radix_6(A,B,C,D),k3_radix_1(C)) ) )).
fof(dt_k1_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( v1_funct_1(k1_ramsey_1(A,B,C,D)) & v1_funct_2(k1_ramsey_1(A,B,C,D),k3_group_10(B,A),k3_group_10(C,A)) & m1_subset_1(k1_ramsey_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_group_10(B,A),k3_group_10(C,A)))) ) ) )).
fof(dt_k1_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k1_random_1(A)) & v1_prob_1(k1_random_1(A),A) & v4_prob_1(k1_random_1(A),A) & m1_subset_1(k1_random_1(A),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k1_random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & m1_random_1(D,A,B) ) => v1_xreal_0(k1_random_2(A,B,C,D)) ) )).
fof(dt_k1_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(E) & v1_funct_2(E,C,k6_numbers) & v10_valued_0(E) & v6_supinf_2(E) & v2_measure1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k1_random_3(A,B,C,D,E,F)) & v1_funct_2(k1_random_3(A,B,C,D,E,F),D,k6_numbers) & v10_valued_0(k1_random_3(A,B,C,D,E,F)) & v6_supinf_2(k1_random_3(A,B,C,D,E,F)) & v2_measure1(k1_random_3(A,B,C,D,E,F),B,D) & m1_subset_1(k1_random_3(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(D,k6_numbers))) ) ) )).
fof(dt_k1_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v7_vectsp_1(k1_ranknull(A,B,C,D),A) & m1_vectsp_4(k1_ranknull(A,B,C,D),A,B) ) ) )).
fof(dt_k1_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => v7_ordinal1(k1_rat_1(A)) ) )).
fof(dt_k1_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k1_rcomp_1(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_real_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => m1_subset_1(k1_real_1(A),k1_numbers) ) )).
fof(dt_k1_real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_funct_1(k1_real_3(A,B)) & v1_funct_2(k1_real_3(A,B),k4_ordinal1,k4_ordinal1) & m1_subset_1(k1_real_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) ) )).
fof(dt_k1_real_lat,axiom,( v1_funct_1(k1_real_lat) & v1_funct_2(k1_real_lat,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(k1_real_lat,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) )).
fof(dt_k1_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k1_real_ns1(A)) & v1_funct_2(k1_real_ns1(A),k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)) & m1_subset_1(k1_real_ns1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)))) ) ) )).
fof(dt_k1_realset2,axiom,( v1_funct_1(k1_realset2) & v1_funct_2(k1_realset2,k2_zfmisc_1(2,2),2) & m1_subset_1(k1_realset2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(2,2),2))) )).
fof(dt_k1_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k1_realset3(A)) & v1_funct_2(k1_realset3(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k1_realset3(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k1_recdef_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) ) => m1_subset_1(k1_recdef_1(A,B),k4_ordinal1) ) )).
fof(dt_k1_relset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => m1_subset_1(k1_relset_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k1_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k1_relset_2(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k1_rewrite1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k1_rewrite1(A,B)) & v1_funct_1(k1_rewrite1(A,B)) & v1_finseq_1(k1_rewrite1(A,B)) ) ) )).
fof(dt_k1_rewrite2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_rewrite2(B) ) => ( v1_relat_1(k1_rewrite2(A,B)) & v1_funct_1(k1_rewrite2(A,B)) & v1_rewrite2(k1_rewrite2(A,B)) ) ) )).
fof(dt_k1_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => m1_subset_1(k1_rewrite3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k8_afinsq_1(A)),k2_zfmisc_1(u1_struct_0(C),k8_afinsq_1(A))))) ) )).
fof(dt_k1_rfinseq,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k1_rfinseq(A,B)) & v1_funct_1(k1_rfinseq(A,B)) & v1_finseq_1(k1_rfinseq(A,B)) ) ) )).
fof(dt_k1_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v7_ordinal1(k1_rfinseq2(A)) ) )).
fof(dt_k1_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k1_rfunct_1(A,B)) & v1_funct_1(k1_rfunct_1(A,B)) ) ) )).
fof(dt_k1_rfunct_3,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k1_rfunct_3(A)) ) )).
fof(dt_k1_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k1_rinfsup1(A)) ) )).
fof(dt_k1_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => m1_subset_1(k1_rinfsup2(A),k6_numbers) ) )).
fof(dt_k1_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_ring_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k1_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,A) & m1_subset_1(C,k4_finseq_1(B)) ) => m1_subset_1(k1_ring_2(A,B,C),A) ) )).
fof(dt_k1_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( ~ v2_struct_0(k1_ringcat1(A)) & v13_algstr_0(k1_ringcat1(A)) & v2_rlvect_1(k1_ringcat1(A)) & v3_rlvect_1(k1_ringcat1(A)) & v4_rlvect_1(k1_ringcat1(A)) & v3_group_1(k1_ringcat1(A)) & v4_vectsp_1(k1_ringcat1(A)) & v5_vectsp_1(k1_ringcat1(A)) & l6_algstr_0(k1_ringcat1(A)) ) ) )).
fof(dt_k1_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_rlvect_2(k1_rlaffin1(A,B,C),A) ) )).
fof(dt_k1_rlaffin2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_rlaffin2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_rlaffin3(C,B) ) => m2_finseq_1(k1_rlaffin3(A,B,C,D),k1_numbers) ) )).
fof(dt_k1_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_rlvect_1(k1_rlsub_1(A)) & m1_rlsub_1(k1_rlsub_1(A),A) ) ) )).
fof(dt_k1_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) & m1_rlsub_1(C,A) ) => ( v1_rlvect_1(k1_rlsub_2(A,B,C)) & m1_rlsub_1(k1_rlsub_2(A,B,C),A) ) ) )).
fof(dt_k1_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_rltopsp1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k1_rlvect_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_rlvect_2,axiom,( ! [A] : ! [B] : ( l1_struct_0(A) => m1_subset_1(k1_rlvect_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_rlvect_1(k1_rlvect_3(A,B)) & m1_rlsub_1(k1_rlvect_3(A,B),A) ) ) )).
fof(dt_k1_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_subset_1(k1_rlvect_5(A),k4_ordinal1) ) )).
fof(dt_k1_rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_int_1(B) & m1_rlvect_2(C,A) ) => m1_rlvect_2(k1_rlvect_x(A,B,C),A) ) )).
fof(dt_k1_rmod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ( v2_vectsp_2(k1_rmod_2(A,B),A) & m1_rmod_2(k1_rmod_2(A,B),A,B) ) ) )).
fof(dt_k1_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) ) => ( v2_vectsp_2(k1_rmod_3(A,B,C,D),A) & m1_rmod_2(k1_rmod_3(A,B,C,D),A,B) ) ) )).
fof(dt_k1_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k1_rmod_4(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k1_robbins3,axiom,( l3_robbins3(k1_robbins3) )).
fof(dt_k1_robbins4,axiom,( l1_orders_2(k1_robbins4) )).
fof(dt_k1_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) ) => m1_subset_1(k1_roughs_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k1_roughs_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_roughs_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_roughs_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => m1_subset_1(k1_roughs_4(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k1_rpr_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => v1_xreal_0(k1_rpr_1(A,B)) ) )).
fof(dt_k1_rsspace,axiom,( ~ v1_xboole_0(k1_rsspace) )).
fof(dt_k1_rsspace3,axiom,( m1_subset_1(k1_rsspace3,k1_zfmisc_1(u1_struct_0(k4_rsspace))) )).
fof(dt_k1_rsspace4,axiom,( m1_subset_1(k1_rsspace4,k1_zfmisc_1(u1_struct_0(k4_rsspace))) )).
fof(dt_k1_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v1_bhsp_1(k1_rusub_1(A)) & m1_rusub_1(k1_rusub_1(A),A) ) ) )).
fof(dt_k1_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) & m1_rusub_1(C,A) ) => ( v1_bhsp_1(k1_rusub_2(A,B,C)) & m1_rusub_1(k1_rusub_2(A,B,C),A) ) ) )).
fof(dt_k1_rusub_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_bhsp_1(k1_rusub_3(A,B)) & m1_rusub_1(k1_rusub_3(A,B),A) ) ) )).
fof(dt_k1_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => m1_subset_1(k1_rusub_4(A),k4_ordinal1) ) )).
fof(dt_k1_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_rusub_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => m1_subset_1(k1_rvsum_1(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_valued_0(A) ) => m1_subset_1(k1_rvsum_2(A),k1_zfmisc_1(k2_numbers)) ) )).
fof(dt_k1_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => v1_xreal_0(k1_rvsum_3(A)) ) )).
fof(dt_k1_scm_comp,axiom,( ~ v2_struct_0(k1_scm_comp) & v1_lang1(k1_scm_comp) & v1_dtconstr(k1_scm_comp) & v2_dtconstr(k1_scm_comp) & v3_dtconstr(k1_scm_comp) & v3_bintree1(k1_scm_comp) & l1_lang1(k1_scm_comp) )).
fof(dt_k1_scm_inst,axiom,( m2_subset_1(k1_scm_inst,k4_ordinal1,k5_card_1(9)) )).
fof(dt_k1_scmbsort,axiom,( ! [A] : ( m1_scmfsa_2(A) => ( v1_relat_1(k1_scmbsort(A)) & v4_relat_1(k1_scmbsort(A),k4_ordinal1) & v5_relat_1(k1_scmbsort(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmbsort(A)) & ~ v1_xboole_0(k1_scmbsort(A)) & v1_finset_1(k1_scmbsort(A)) & v1_afinsq_1(k1_scmbsort(A)) ) ) )).
fof(dt_k1_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(k1_scmfsa6a(A)) & v4_relat_1(k1_scmfsa6a(A),k4_ordinal1) & v5_relat_1(k1_scmfsa6a(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6a(A)) & v1_finset_1(k1_scmfsa6a(A)) ) ) )).
fof(dt_k1_scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( v1_relat_1(k1_scmfsa6b(A,B,C)) & v4_relat_1(k1_scmfsa6b(A,B,C),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6b(A,B,C)) & v5_funct_1(k1_scmfsa6b(A,B,C),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(k1_scmfsa6b(A,B,C),u1_struct_0(k1_scmfsa_2)) ) ) )).
fof(dt_k1_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k1_scmfsa6c(A,B)) & v1_relat_1(k1_scmfsa6c(A,B)) & v4_relat_1(k1_scmfsa6c(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa6c(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6c(A,B)) & v1_finset_1(k1_scmfsa6c(A,B)) & v1_afinsq_1(k1_scmfsa6c(A,B)) ) ) )).
fof(dt_k1_scmfsa8a,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k1_scmfsa8a(A)) & v1_relat_1(k1_scmfsa8a(A)) & v4_relat_1(k1_scmfsa8a(A),k4_ordinal1) & v5_relat_1(k1_scmfsa8a(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8a(A)) & v1_finset_1(k1_scmfsa8a(A)) & v1_afinsq_1(k1_scmfsa8a(A)) ) ) )).
fof(dt_k1_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k1_scmfsa8b(A,B,C)) & v1_relat_1(k1_scmfsa8b(A,B,C)) & v4_relat_1(k1_scmfsa8b(A,B,C),k4_ordinal1) & v5_relat_1(k1_scmfsa8b(A,B,C),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8b(A,B,C)) & v1_finset_1(k1_scmfsa8b(A,B,C)) & v1_afinsq_1(k1_scmfsa8b(A,B,C)) ) ) )).
fof(dt_k1_scmfsa8c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k1_scmfsa8c(A,B)) & v1_relat_1(k1_scmfsa8c(A,B)) & v4_relat_1(k1_scmfsa8c(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa8c(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8c(A,B)) & v1_finset_1(k1_scmfsa8c(A,B)) & v1_afinsq_1(k1_scmfsa8c(A,B)) ) ) )).
fof(dt_k1_scmfsa_2,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & l1_extpro_1(k1_scmfsa_2,k5_card_1(3)) )).
fof(dt_k1_scmfsa_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_int_1(B) ) => ( v1_relat_1(k1_scmfsa_3(A,B)) & v4_relat_1(k1_scmfsa_3(A,B),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa_3(A,B)) & v5_funct_1(k1_scmfsa_3(A,B),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(k1_scmfsa_3(A,B)) ) ) )).
fof(dt_k1_scmfsa_7,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_int_1(B) ) => ( v1_relat_1(k1_scmfsa_7(A,B)) & v4_relat_1(k1_scmfsa_7(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa_7(A,B)) & v1_finset_1(k1_scmfsa_7(A,B)) ) ) )).
fof(dt_k1_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( v1_funct_1(k1_scmfsa_9(A,B,C,D)) & v1_funct_2(k1_scmfsa_9(A,B,C,D),k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(k1_scmfsa_9(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) ) )).
fof(dt_k1_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) => ( v1_relat_1(k1_scmfsa_m(A)) & v4_relat_1(k1_scmfsa_m(A),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa_m(A)) & v5_funct_1(k1_scmfsa_m(A),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) ) )).
fof(dt_k1_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k1_scmfsa_x(A,B)) & v4_relat_1(k1_scmfsa_x(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa_x(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_scmfsa_x(A,B)) & v1_funct_1(k1_scmfsa_x(A,B)) & v1_finset_1(k1_scmfsa_x(A,B)) & v1_afinsq_1(k1_scmfsa_x(A,B)) ) ) )).
fof(dt_k1_scmisort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( v1_funct_1(k1_scmisort(A,B,C,D)) & v1_funct_2(k1_scmisort(A,B,C,D),k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(k1_scmisort(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) ) )).
fof(dt_k1_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_ami_2(k1_scmp_gcd(A)) & m1_subset_1(k1_scmp_gcd(A),u1_struct_0(k1_scmpds_2)) ) ) )).
fof(dt_k1_scmpds_2,axiom,( v1_extpro_1(k1_scmpds_2,k5_card_1(2)) & l1_extpro_1(k1_scmpds_2,k5_card_1(2)) )).
fof(dt_k1_scmpds_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => ( v1_relat_1(k1_scmpds_3(A,B)) & v4_relat_1(k1_scmpds_3(A,B),u1_struct_0(k1_scmpds_2)) & v1_funct_1(k1_scmpds_3(A,B)) & v5_funct_1(k1_scmpds_3(A,B),k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(k1_scmpds_3(A,B)) ) ) )).
fof(dt_k1_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( v1_relat_1(k1_scmpds_4(A,B)) & v4_relat_1(k1_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k1_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_scmpds_4(A,B)) & v1_funct_1(k1_scmpds_4(A,B)) & v1_finset_1(k1_scmpds_4(A,B)) & v1_afinsq_1(k1_scmpds_4(A,B)) ) ) )).
fof(dt_k1_scmpds_6,axiom,( ! [A] : ( v1_int_1(A) => ( v1_relat_1(k1_scmpds_6(A)) & v4_relat_1(k1_scmpds_6(A),k4_ordinal1) & v5_relat_1(k1_scmpds_6(A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_scmpds_6(A)) & v1_funct_1(k1_scmpds_6(A)) & v1_finset_1(k1_scmpds_6(A)) & v1_afinsq_1(k1_scmpds_6(A)) ) ) )).
fof(dt_k1_scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( v1_relat_1(k1_scmpds_7(A,B,C,D)) & v4_relat_1(k1_scmpds_7(A,B,C,D),k4_ordinal1) & v5_relat_1(k1_scmpds_7(A,B,C,D),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_scmpds_7(A,B,C,D)) & v1_funct_1(k1_scmpds_7(A,B,C,D)) & v1_finset_1(k1_scmpds_7(A,B,C,D)) & v1_afinsq_1(k1_scmpds_7(A,B,C,D)) ) ) )).
fof(dt_k1_scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( ~ v1_xboole_0(k1_scmpds_8(A,B,C)) & v1_relat_1(k1_scmpds_8(A,B,C)) & v4_relat_1(k1_scmpds_8(A,B,C),k4_ordinal1) & v5_relat_1(k1_scmpds_8(A,B,C),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k1_scmpds_8(A,B,C)) & v1_finset_1(k1_scmpds_8(A,B,C)) & v1_afinsq_1(k1_scmpds_8(A,B,C)) ) ) )).
fof(dt_k1_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => ( v1_relat_1(k1_scmpds_9(A,B,C,D)) & v4_relat_1(k1_scmpds_9(A,B,C,D),u1_struct_0(k1_scmpds_2)) & v1_funct_1(k1_scmpds_9(A,B,C,D)) & v5_funct_1(k1_scmpds_9(A,B,C,D),k2_memstr_0(k5_card_1(2),k1_scmpds_2)) ) ) )).
fof(dt_k1_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ( v1_relat_1(k1_scmring1(A)) & v4_relat_1(k1_scmring1(A),k6_ordinal1(2)) & v1_funct_1(k1_scmring1(A)) & v1_partfun1(k1_scmring1(A),k6_ordinal1(2)) ) ) )).
fof(dt_k1_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & l1_extpro_1(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(dt_k1_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ~ v1_xboole_0(k1_scmringi(A)) ) )).
fof(dt_k1_scmyciel,axiom,( ! [A] : m1_subset_1(k1_scmyciel(A),k1_zfmisc_1(A)) )).
fof(dt_k1_scpinvar,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ~ v1_xboole_0(k1_scpinvar(A,B)) & v1_relat_1(k1_scpinvar(A,B)) & v4_relat_1(k1_scpinvar(A,B),k4_ordinal1) & v5_relat_1(k1_scpinvar(A,B),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k1_scpinvar(A,B)) & v1_finset_1(k1_scpinvar(A,B)) & v1_afinsq_1(k1_scpinvar(A,B)) ) ) )).
fof(dt_k1_scpisort,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ~ v1_xboole_0(k1_scpisort(A,B)) & v1_relat_1(k1_scpisort(A,B)) & v4_relat_1(k1_scpisort(A,B),k4_ordinal1) & v5_relat_1(k1_scpisort(A,B),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k1_scpisort(A,B)) & v1_finset_1(k1_scpisort(A,B)) & v1_afinsq_1(k1_scpisort(A,B)) ) ) )).
fof(dt_k1_scpqsort,axiom,( v1_relat_1(k1_scpqsort) & v4_relat_1(k1_scpqsort,k4_ordinal1) & v5_relat_1(k1_scpqsort,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_scpqsort) & v1_funct_1(k1_scpqsort) & v1_finset_1(k1_scpqsort) & v1_afinsq_1(k1_scpqsort) )).
fof(dt_k1_semi_af1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k1_semi_af1(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k1_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_seq_1(A)) & v1_funct_2(k1_seq_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k1_seq_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k1_seq_2(A)) ) )).
fof(dt_k1_seq_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k1_seq_4(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) & v7_ordinal1(D) ) => ( v1_funct_1(k1_seqfunc(A,B,C,D)) & m1_subset_1(k1_seqfunc(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k1_series_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_membered(A) & v7_membered(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( v1_funct_1(k1_series_1(A,B,C)) & v1_funct_2(k1_series_1(A,B,C),k4_ordinal1,A) & m1_subset_1(k1_series_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k1_series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k1_series_3(A)) & v1_funct_2(k1_series_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k1_series_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_setlim_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_setlim_1(A)) & v1_funct_1(k1_setlim_1(A)) ) ) )).
fof(dt_k1_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k1_setlim_2(A,B,C)) & v1_funct_2(k1_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k1_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k1_setwiseo,axiom,( ! [A] : ( v1_xboole_0(k1_setwiseo(A)) & m1_subset_1(k1_setwiseo(A),k5_finsub_1(A)) ) )).
fof(dt_k1_setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_subset_1(C,A) ) => ( v1_funct_1(k1_setwop_2(A,B,C)) & v1_funct_2(k1_setwop_2(A,B,C),k4_ordinal1,A) & m1_subset_1(k1_setwop_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k1_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => m1_subset_1(k1_sf_mastr(A),k5_finsub_1(k2_scmfsa_2)) ) )).
fof(dt_k1_sfmastr1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_ami_2(k1_sfmastr1(A,B)) & m1_subset_1(k1_sfmastr1(A,B),u1_struct_0(k1_scmfsa_2)) ) ) )).
fof(dt_k1_sfmastr2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k1_sfmastr2(A,B)) & v4_relat_1(k1_sfmastr2(A,B),k4_ordinal1) & v5_relat_1(k1_sfmastr2(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_sfmastr2(A,B)) & v1_funct_1(k1_sfmastr2(A,B)) & v1_finset_1(k1_sfmastr2(A,B)) & v1_afinsq_1(k1_sfmastr2(A,B)) & v3_compos_1(k1_sfmastr2(A,B),k1_scmfsa_2) & v4_compos_1(k1_sfmastr2(A,B),k1_scmfsa_2) ) ) )).
fof(dt_k1_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(F,u1_struct_0(k1_scmfsa_2)) ) => ( v1_funct_1(k1_sfmastr3(A,B,C,D,E,F)) & v1_funct_2(k1_sfmastr3(A,B,C,D,E,F),k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(k1_sfmastr3(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) ) )).
fof(dt_k1_sgraph1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k1_sgraph1(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k1_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => m1_subset_1(k1_sheffer1(A),u1_struct_0(A)) ) )).
fof(dt_k1_simplex0,axiom,( ! [A] : v1_classes1(k1_simplex0(A)) )).
fof(dt_k1_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & m1_simplex0(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k1_simplex1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_simplex2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & l1_pre_topc(B) ) => v1_xreal_0(k1_simplex2(A,B)) ) )).
fof(dt_k1_sin_cos2,axiom,( v1_funct_1(k1_sin_cos2) & v1_funct_2(k1_sin_cos2,k1_numbers,k1_numbers) & m1_subset_1(k1_sin_cos2,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k1_sin_cos3,axiom,( v1_funct_1(k1_sin_cos3) & v1_funct_2(k1_sin_cos3,k2_numbers,k2_numbers) & m1_subset_1(k1_sin_cos3,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k1_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k1_sin_cos4(A)) ) )).
fof(dt_k1_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k1_sin_cos5(A)) ) )).
fof(dt_k1_sin_cos6,axiom,( v1_funct_1(k1_sin_cos6) & m1_subset_1(k1_sin_cos6,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k1_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k1_sin_cos7(A)) ) )).
fof(dt_k1_sin_cos9,axiom,( v1_funct_1(k1_sin_cos9) & m1_subset_1(k1_sin_cos9,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k1_sincos10,axiom,( v1_funct_1(k1_sincos10) & m1_subset_1(k1_sincos10,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k1_sppol_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_subset_1(k1_sppol_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k1_sprect_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m2_finseq_1(k1_sprect_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k1_srings_2,axiom,( m1_subset_1(k1_srings_2,k1_zfmisc_1(k1_zfmisc_1(k2_enumset1(1,2,3,4)))) )).
fof(dt_k1_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_2(k1_stacks_1(A,B,C),A,k3_finseq_2(A)) ) )).
fof(dt_k1_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(C) & v1_funct_2(C,k5_card_1(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),B))) ) => m1_subset_1(k1_stirl2_1(A,B,C,D),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k1_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => m1_subset_1(k1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_valuat_1(A,B)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => m2_funct_2(k1_sublemma(A,B,C,D),k3_qc_lang1(A),B,k2_valuat_1(A,B)) ) )).
fof(dt_k1_subset_1,axiom,( ! [A] : m1_subset_1(k1_subset_1(A),k1_zfmisc_1(A)) )).
fof(dt_k1_substlat,axiom,( ! [A] : ! [B] : m1_subset_1(k1_substlat(A,B),k1_zfmisc_1(k5_finsub_1(k4_partfun1(A,B)))) )).
fof(dt_k1_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k1_substut1(A)) ) => m1_subset_1(k1_substut2(A,B,C),k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) ) )).
fof(dt_k1_supinf_1,axiom,( m1_subset_1(k1_supinf_1,k6_numbers) )).
fof(dt_k1_supinf_2,axiom,( m1_subset_1(k1_supinf_2,k6_numbers) )).
fof(dt_k1_symsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => m1_subset_1(k1_symsp_1(A,B,C,D,E),u1_struct_0(A)) ) )).
fof(dt_k1_sysrel,axiom,( ! [A] : ( v1_relat_1(A) => v1_relat_1(k1_sysrel(A)) ) )).
fof(dt_k1_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( v1_partfun1(k1_t_0topsp(A),u1_struct_0(A)) & v3_relat_2(k1_t_0topsp(A)) & v8_relat_2(k1_t_0topsp(A)) & m1_subset_1(k1_t_0topsp(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k1_t_1topsp(A)) & v1_eqrel_1(k1_t_1topsp(A),u1_struct_0(A)) & m1_subset_1(k1_t_1topsp(A),k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k1_taxonom1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & v1_xreal_0(C) ) => m1_subset_1(k1_taxonom1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k1_taylor_1,axiom,( ! [A] : ( v1_int_1(A) => ( v1_funct_1(k1_taylor_1(A)) & v1_funct_2(k1_taylor_1(A),k1_numbers,k1_numbers) & m1_subset_1(k1_taylor_1(A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k1_taylor_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( v1_funct_1(k1_taylor_2(A,B,C)) & v1_funct_2(k1_taylor_2(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k1_taylor_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k1_tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k1_tbsp_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => m1_subset_1(k1_tdgroup(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_k1_tdlat_1,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(k1_tdlat_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_tdlat_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(k1_tdlat_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( v1_relat_1(k1_termord(A,B,C,D)) & v4_relat_1(k1_termord(A,B,C,D),A) & v1_funct_1(k1_termord(A,B,C,D)) & v1_partfun1(k1_termord(A,B,C,D),A) & v4_valued_0(k1_termord(A,B,C,D)) & v2_pre_poly(k1_termord(A,B,C,D)) ) ) )).
fof(dt_k1_tex_1,axiom,( ! [A] : m1_subset_1(k1_tex_1(A),k1_zfmisc_1(k1_zfmisc_1(A))) )).
fof(dt_k1_tex_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k1_tex_2(A,B)) & v1_pre_topc(k1_tex_2(A,B)) & m1_pre_topc(k1_tex_2(A,B),A) ) ) )).
fof(dt_k1_tex_4,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_tex_4(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(C,k4_finseq_2(A,k9_funct_2(B,u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k1_tietze_2(A,B,C)) & v1_funct_2(k1_tietze_2(A,B,C),B,u1_struct_0(k15_euclid(A))) & m1_subset_1(k1_tietze_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_k1_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & v1_funct_1(F) & v1_funct_2(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( v1_funct_1(k1_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k1_tmap_1(A,B,C,D,E,F),k4_subset_1(A,C,D),B) & m1_subset_1(k1_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k4_subset_1(A,C,D),B))) ) ) )).
fof(dt_k1_toler_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => m1_subset_1(k1_toler_1(A,B),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) )).
fof(dt_k1_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) ) => ( v1_funct_1(k1_topalg_2(A,B,C,D)) & v1_funct_2(k1_topalg_2(A,B,C,D),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(B)) & m1_subset_1(k1_topalg_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(B)))) ) ) )).
fof(dt_k1_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_borsuk_2(E,A,C,D) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_borsuk_2(k1_topalg_3(A,B,C,D,E,F),B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),F,C),k3_funct_2(u1_struct_0(A),u1_struct_0(B),F,D)) ) )).
fof(dt_k1_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) & ~ v2_struct_0(D) & l3_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( v1_funct_1(k1_topalg_4(A,B,C,D,E,F)) & v1_funct_2(k1_topalg_4(A,B,C,D,E,F),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(C,D)))) & m1_subset_1(k1_topalg_4(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(C,D)))))) ) ) )).
fof(dt_k1_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_topalg_5(A)) & v1_funct_2(k1_topalg_5(A),u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)) & m1_subset_1(k1_topalg_5(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)))) ) ) )).
fof(dt_k1_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(k1_topalg_6(A),k1_zfmisc_1(k4_partfun1(k1_numbers,k2_struct_0(A)))) ) )).
fof(dt_k1_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),C))) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(B)) ) => m1_subset_1(k1_topalg_7(A,B,C,D,E,F),C) ) )).
fof(dt_k1_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k1_topdim_1(A)) & v1_funct_2(k1_topdim_1(A),k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(k1_topdim_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))))) ) ) )).
fof(dt_k1_topdim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => v1_xxreal_0(k1_topdim_2(A,B)) ) )).
fof(dt_k1_topgen_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(k1_topgen_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_card_1(k1_topgen_2(A,B)) ) )).
fof(dt_k1_topgen_3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(B)))) => m1_subset_1(k1_topgen_3(A,B,C),k1_zfmisc_1(k1_zfmisc_1(B))) ) )).
fof(dt_k1_topgen_4,axiom,( ! [A] : ( l1_struct_0(A) => m1_subset_1(k1_topgen_4(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_topgen_5,axiom,( m1_subset_1(k1_topgen_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(dt_k1_topgen_6,axiom,( ~ v2_struct_0(k1_topgen_6) & v1_pre_topc(k1_topgen_6) & v2_pre_topc(k1_topgen_6) & l1_pre_topc(k1_topgen_6) )).
fof(dt_k1_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_topgrp_1(A,B)) & v1_funct_2(k1_topgrp_1(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k1_topgrp_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_topmetr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_metric_1(k1_topmetr(A,B)) & m1_topmetr(k1_topmetr(A,B),A) ) ) )).
fof(dt_k1_topreal1,axiom,( m1_subset_1(k1_topreal1,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(dt_k1_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => v1_xreal_0(k1_topreal6(A,B,C)) ) )).
fof(dt_k1_topreal7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) ) => ( v1_metric_1(k1_topreal7(A,B)) & l1_metric_1(k1_topreal7(A,B)) ) ) )).
fof(dt_k1_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k1_topreal9(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k1_topreala,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_pre_topc(k1_topreala(A,B,C,D),k15_euclid(2)) ) )).
fof(dt_k1_toprns_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k1_toprns_1(A,B,C)) & v1_funct_2(k1_toprns_1(A,B,C),k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(k1_toprns_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_k1_tops_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_tops_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(k1_tops_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B))))) ) )).
fof(dt_k1_transgeo,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k1_transgeo(A,B,C)) & v1_funct_2(k1_transgeo(A,B,C),A,A) & v3_funct_2(k1_transgeo(A,B,C),A,A) & m1_subset_1(k1_transgeo(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k1_treal_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k1_treal_1(A,B),u1_struct_0(k4_topmetr(A,B))) ) )).
fof(dt_k1_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_subset_1(B,A) ) => m1_subset_1(k1_trees_2(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k1_trees_4,axiom,( ! [A] : ( v1_relat_1(k1_trees_4(A)) & v1_funct_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A)) ) )).
fof(dt_k1_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) & m1_subset_1(B,A) ) => ( v2_funct_1(k1_trees_9(A,B)) & m2_finseq_1(k1_trees_9(A,B),A) ) ) )).
fof(dt_k1_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) & m4_trees_1(C,A) ) => ( ~ v1_xboole_0(k1_trees_a(A,B,C)) & v1_trees_1(k1_trees_a(A,B,C)) ) ) )).
fof(dt_k1_triang_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => m1_subset_1(k1_triang_1(A),k1_zfmisc_1(k5_finsub_1(u1_struct_0(A)))) ) )).
fof(dt_k1_tsep_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( ~ v2_struct_0(k1_tsep_1(A,B,C)) & v1_pre_topc(k1_tsep_1(A,B,C)) & m1_pre_topc(k1_tsep_1(A,B,C),A) ) ) )).
fof(dt_k1_tsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ( v1_funct_1(k1_tsp_2(A,B)) & v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_tsp_2(A,B),A,B) & m1_subset_1(k1_tsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k1_twoscomp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & l1_msualg_1(A) & v4_msafree2(B,A) & v6_circcomb(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k1_twoscomp(A,B,C,D),k5_margrel1) ) )).
fof(dt_k1_unialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m2_finseq_1(k1_unialg_1(A),k4_ordinal1) ) )).
fof(dt_k1_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m4_margrel1(k1_unialg_2(A),u1_struct_0(A)) ) )).
fof(dt_k1_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( ~ v1_xboole_0(k1_unialg_3(A)) & m1_unialg_3(k1_unialg_3(A),A) ) ) )).
fof(dt_k1_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_uniroots(A)) & v15_algstr_0(k1_uniroots(A)) & v2_group_1(k1_uniroots(A)) & v3_group_1(k1_uniroots(A)) & l3_algstr_0(k1_uniroots(A)) ) ) )).
fof(dt_k1_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => m2_subset_1(k1_uproots(A,B,C),k14_pre_poly(A),k15_pre_poly(A)) ) )).
fof(dt_k1_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_urysohn1(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_urysohn3,axiom,( ! [A] : ( v1_xreal_0(A) => v7_ordinal1(k1_urysohn3(A)) ) )).
fof(dt_k1_valued_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => m2_valued_0(k1_valued_0(A,B,C),A,B) ) )).
fof(dt_k1_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) ) ) )).
fof(dt_k1_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v7_ordinal1(C) ) => ( v1_funct_1(k1_vectsp11(A,B,C)) & v1_funct_2(k1_vectsp11(A,B,C),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k1_vectsp11(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k1_vectsp_1,axiom,( v8_algstr_0(k1_vectsp_1) & l2_algstr_0(k1_vectsp_1) )).
fof(dt_k1_vectsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v7_vectsp_1(k1_vectsp_4(A,B),A) & m1_vectsp_4(k1_vectsp_4(A,B),A,B) ) ) )).
fof(dt_k1_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) ) => ( v7_vectsp_1(k1_vectsp_5(A,B,C,D),A) & m1_vectsp_4(k1_vectsp_5(A,B,C,D),A,B) ) ) )).
fof(dt_k1_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) ) => ( v1_finset_1(k1_vectsp_6(A,B,C)) & m1_subset_1(k1_vectsp_6(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_k1_vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v7_vectsp_1(k1_vectsp_7(A,B,C),A) & m1_vectsp_4(k1_vectsp_7(A,B,C),A,B) ) ) )).
fof(dt_k1_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k1_vectsp_8(A,B)) & v3_lattices(k1_vectsp_8(A,B)) & v10_lattices(k1_vectsp_8(A,B)) & v15_lattices(k1_vectsp_8(A,B)) & l3_lattices(k1_vectsp_8(A,B)) ) ) )).
fof(dt_k1_vectsp_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => v7_ordinal1(k1_vectsp_9(A,B)) ) )).
fof(dt_k1_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k1_vfunct_1(A,B,C,D)) & m1_subset_1(k1_vfunct_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k1_vfunct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k1_vfunct_2(A,B,C,D)) & m1_subset_1(k1_vfunct_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k1_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k1_vsdiff_1(A,B,C,D,E)) & m1_subset_1(k1_vsdiff_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) ) )).
fof(dt_k1_waybel10,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v1_orders_2(k1_waybel10(A,B)) & v4_yellow_0(k1_waybel10(A,B),k7_lattice3(A)) & m1_yellow_0(k1_waybel10(A,B),k7_lattice3(A)) ) ) )).
fof(dt_k1_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(k1_waybel11(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_waybel15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(k1_waybel15(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(k1_waybel16(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( v1_funct_1(k1_waybel17(A,B,C)) & v1_funct_2(k1_waybel17(A,B,C),k4_ordinal1,A) & m1_subset_1(k1_waybel17(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k1_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(k1_waybel19(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k1_waybel20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_orders_2(A) & l1_orders_2(B) & l1_orders_2(C) & l1_orders_2(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( v1_funct_1(k1_waybel20(A,B,C,D,E,F)) & v1_funct_2(k1_waybel20(A,B,C,D,E,F),u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(k3_yellow_3(C,D))) & m1_subset_1(k1_waybel20(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(k3_yellow_3(C,D))))) ) ) )).
fof(dt_k1_waybel22,axiom,( ! [A] : m1_subset_1(k1_waybel22(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_yellow_1(A))))) )).
fof(dt_k1_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))))) ) => m1_subset_1(k1_waybel23(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k1_waybel24(A,B,C,D,E)) & v1_funct_2(k1_waybel24(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(k1_waybel24(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) ) )).
fof(dt_k1_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_waybel_9(k1_waybel25(A)) & l1_waybel_9(k1_waybel25(A)) ) ) )).
fof(dt_k1_waybel26,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ~ v2_struct_0(k1_waybel26(A,B)) & v1_orders_2(k1_waybel26(A,B)) & l1_orders_2(k1_waybel26(A,B)) ) ) )).
fof(dt_k1_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k1_waybel27(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k1_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ~ v2_struct_0(k1_waybel28(A,B,C)) & v6_waybel_0(k1_waybel28(A,B,C),A) & l1_waybel_0(k1_waybel28(A,B,C),A) ) ) )).
fof(dt_k1_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v1_waybel_9(k1_waybel29(A)) & v4_waybel11(k1_waybel29(A)) & m1_yellow_9(k1_waybel29(A),A) ) ) )).
fof(dt_k1_waybel30,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_waybel30(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => v1_card_1(k1_waybel31(A)) ) )).
fof(dt_k1_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ~ v2_struct_0(k1_waybel32(A,B,C)) & v6_waybel_0(k1_waybel32(A,B,C),A) & l1_waybel_0(k1_waybel32(A,B,C),A) ) ) )).
fof(dt_k1_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => m1_subset_1(k1_waybel33(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k1_waybel34(A,B,C)) & v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k1_waybel34(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k1_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v1_funct_1(k1_waybel_0(A,B)) & v1_funct_2(k1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k1_waybel_0(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k1_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => m1_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) )).
fof(dt_k1_waybel_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & l1_waybel_0(B,A) ) => m1_subset_1(k1_waybel_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_waybel_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => m1_subset_1(k1_waybel_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k1_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,C,k7_funcop_1(A,B)) & m1_subset_1(E,A) ) => ( v1_funct_1(k1_waybel_5(A,B,C,D,E)) & v1_funct_2(k1_waybel_5(A,B,C,D,E),k1_funct_1(C,E),B) & m1_subset_1(k1_waybel_5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(C,E),B))) ) ) )).
fof(dt_k1_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & m1_subset_1(E,B) ) => m1_subset_1(k1_waybel_6(A,B,C,D,E),u1_struct_0(A)) ) )).
fof(dt_k1_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_waybel_8(A)) & v4_yellow_0(k1_waybel_8(A),A) & m1_yellow_0(k1_waybel_8(A),A) ) ) )).
fof(dt_k1_waybel_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & l1_waybel_0(B,A) ) => m1_subset_1(k1_waybel_9(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v15_algstr_0(k1_weddwitt(A,B)) & m1_group_2(k1_weddwitt(A,B),A) ) ) )).
fof(dt_k1_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => m1_subset_1(k1_weierstr(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k1_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(k1_wellfnd1(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_wellord2,axiom,( ! [A] : v1_relat_1(k1_wellord2(A)) )).
fof(dt_k1_wsierp_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m1_subset_1(k1_wsierp_1(A),k4_ordinal1) ) )).
fof(dt_k1_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => v1_xxreal_0(k1_xxreal_2(A)) ) )).
fof(dt_k1_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k1_xxreal_3(A,B)) ) )).
fof(dt_k1_yellow11,axiom,( l1_orders_2(k1_yellow11) )).
fof(dt_k1_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k1_yellow12(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k1_yellow14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k1_yellow14(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k1_yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k9_setfam_1(A)) & m1_finseq_1(C,k5_margrel1) ) => m2_finseq_1(k1_yellow15(A,B,C),k9_setfam_1(A)) ) )).
fof(dt_k1_yellow16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(A,B)))) ) => m1_subset_1(k1_yellow16(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k1_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k1_yellow18(A)) & v2_altcat_1(k1_yellow18(A)) & v6_altcat_1(k1_yellow18(A)) & l2_altcat_1(k1_yellow18(A)) ) ) )).
fof(dt_k1_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k1_yellow19(A,B),k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) )).
fof(dt_k1_yellow20,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_yellow20(A,B)) & v1_funct_1(k1_yellow20(A,B)) ) ) )).
fof(dt_k1_yellow21,axiom,( ! [A] : l1_struct_0(k1_yellow21(A)) )).
fof(dt_k1_yellow_0,axiom,( ! [A] : ! [B] : ( l1_orders_2(A) => m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k1_yellow_1,axiom,( ! [A] : ( v1_orders_2(k1_yellow_1(A)) & l1_orders_2(k1_yellow_1(A)) ) )).
fof(dt_k1_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_orders_2(k1_yellow_2(A,B,C)) & v4_yellow_0(k1_yellow_2(A,B,C),B) & m1_yellow_0(k1_yellow_2(A,B,C),B) ) ) )).
fof(dt_k1_yellow_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => v1_relat_1(k1_yellow_3(A,B)) ) )).
fof(dt_k1_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k1_yellow_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k1_yellow_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k1_yellow_5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k1_yellow_7(A)) & v1_funct_2(k1_yellow_7(A),u1_struct_0(A),u1_struct_0(k7_lattice3(A))) & m1_subset_1(k1_yellow_7(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k7_lattice3(A))))) ) ) )).
fof(dt_k1_yellow_8,axiom,( ! [A] : ( v1_pre_topc(k1_yellow_8(A)) & l1_pre_topc(k1_yellow_8(A)) ) )).
fof(dt_k1_yellow_9,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ( v1_funct_1(k1_yellow_9(A,B)) & v1_funct_2(k1_yellow_9(A,B),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k1_yellow_9(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k1_yoneda_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( ~ v2_struct_0(k1_yoneda_1(A)) & ~ v11_struct_0(k1_yoneda_1(A)) & v2_cat_1(k1_yoneda_1(A)) & v3_cat_1(k1_yoneda_1(A)) & v4_cat_1(k1_yoneda_1(A)) & v5_cat_1(k1_yoneda_1(A)) & v6_cat_1(k1_yoneda_1(A)) & l1_cat_1(k1_yoneda_1(A)) ) ) )).
fof(dt_k1_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( v1_relat_1(k1_zf_fund1(A,B,C)) & m1_subset_1(k1_zf_fund1(A,B,C),A) ) ) )).
fof(dt_k1_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => m1_subset_1(k1_zf_fund2(A,B,C),k1_zfmisc_1(B)) ) )).
fof(dt_k1_zf_lang,axiom,( m1_subset_1(k1_zf_lang,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k1_zf_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k1_zf_lang1(A,B,C,D)) & v1_funct_2(k1_zf_lang1(A,B,C,D),A,C) & m1_subset_1(k1_zf_lang1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,C))) ) ) )).
fof(dt_k1_zfmodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( v1_funct_1(k1_zfmodel1(A,B,C)) & v1_funct_2(k1_zfmodel1(A,B,C),B,B) & m1_subset_1(k1_zfmodel1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) )).
fof(dt_k1_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & v1_int_1(C) ) => m1_subset_1(k1_zmodul01(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k1_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_int_1(B) ) => ( ~ v1_xboole_0(k1_zmodul02(A,B)) & m1_subset_1(k1_zmodul02(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k1_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => v7_ordinal1(k1_zmodul03(A)) ) )).
fof(dt_k1_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_partfun1(k1_zmodul04(A),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))) & v3_relat_2(k1_zmodul04(A)) & v8_relat_2(k1_zmodul04(A)) & m1_subset_1(k1_zmodul04(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))))) ) ) )).
fof(dt_k20_abcmiz_1,axiom,( ~ v1_xboole_0(k20_abcmiz_1) )).
fof(dt_k20_aescip_1,axiom,( ! [A] : ( m1_subset_1(A,k4_finseq_2(256,k5_margrel1)) => m2_finseq_2(k20_aescip_1(A),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(8,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) )).
fof(dt_k20_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(D,C) & m1_subset_1(E,k1_zfmisc_1(C)) & m1_aofa_000(F,A,C,E) ) => m1_subset_1(k20_aofa_000(A,B,C,D,E,F),k6_numbers) ) )).
fof(dt_k20_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => m1_subset_1(k20_aofa_a00(A,B),k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) ) )).
fof(dt_k20_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) & v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) & m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) & m1_subset_1(I,k4_aofa_l00(B,C,D)) & m1_subset_1(J,k4_aofa_l00(B,C,D)) ) => m1_subset_1(k20_aofa_l00(A,B,C,D,E,F,G,H,I,J),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) ) )).
fof(dt_k20_binop_2,axiom,( v1_funct_1(k20_binop_2) & v1_funct_2(k20_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m1_subset_1(k20_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers))) )).
fof(dt_k20_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => m1_subset_1(k20_bvfunc_1(A,B),k5_margrel1) ) )).
fof(dt_k20_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k20_cat_4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k20_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_cat_1(k20_cat_5(A,B),k12_cat_5(A,k4_graph_1(A,B)),k12_cat_5(A,k3_graph_1(A,B))) ) )).
fof(dt_k20_comput_1,axiom,( v1_relat_1(k20_comput_1) & v1_funct_1(k20_comput_1) & v7_comput_1(k20_comput_1) & v8_comput_1(k20_comput_1,2) )).
fof(dt_k20_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k20_convex4(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k20_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k20_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k20_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k20_ens_1(A,B)) & v1_funct_2(k20_ens_1(A,B),u4_struct_0(A),k2_ens_1(k16_ens_1(A))) & m1_subset_1(k20_ens_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k2_ens_1(k16_ens_1(A))))) ) ) )).
fof(dt_k20_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k20_euclid(A),k1_numbers) ) )).
fof(dt_k20_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k20_facirc_1(A,B,C),k19_facirc_1(A,B,C)) & v4_msafree2(k20_facirc_1(A,B,C),k19_facirc_1(A,B,C)) & v4_circcomb(k20_facirc_1(A,B,C),k19_facirc_1(A,B,C)) & v6_circcomb(k20_facirc_1(A,B,C),k19_facirc_1(A,B,C)) & l3_msualg_1(k20_facirc_1(A,B,C),k19_facirc_1(A,B,C)) ) )).
fof(dt_k20_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => ( v1_funct_1(k20_fomodel0(A,B,C)) & v1_funct_2(k20_fomodel0(A,B,C),k3_finseq_2(A),k3_finseq_2(A)) & m1_subset_1(k20_fomodel0(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)))) ) ) )).
fof(dt_k20_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k20_fomodel1(A)) & v1_funct_2(k20_fomodel1(A),k2_zfmisc_1(k3_finseq_2(k15_fomodel1(A)),k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A))) & m1_subset_1(k20_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k15_fomodel1(A)),k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A))))) ) ) )).
fof(dt_k20_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) ) => ( v1_funct_1(k20_fomodel2(A,B,C)) & m1_subset_1(k20_fomodel2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) ) )).
fof(dt_k20_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k20_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k20_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( v3_msualg_1(k20_ftacell1(A,B,C,D,E),k19_ftacell1(A,B,C,D,E)) & v4_msafree2(k20_ftacell1(A,B,C,D,E),k19_ftacell1(A,B,C,D,E)) & v4_circcomb(k20_ftacell1(A,B,C,D,E),k19_ftacell1(A,B,C,D,E)) & v6_circcomb(k20_ftacell1(A,B,C,D,E),k19_ftacell1(A,B,C,D,E)) & l3_msualg_1(k20_ftacell1(A,B,C,D,E),k19_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k20_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k20_gfacirc1(A,B,C),k19_gfacirc1(A,B,C)) & v4_msafree2(k20_gfacirc1(A,B,C),k19_gfacirc1(A,B,C)) & v4_circcomb(k20_gfacirc1(A,B,C),k19_gfacirc1(A,B,C)) & v6_circcomb(k20_gfacirc1(A,B,C),k19_gfacirc1(A,B,C)) & l3_msualg_1(k20_gfacirc1(A,B,C),k19_gfacirc1(A,B,C)) ) )).
fof(dt_k20_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k20_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k20_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => m4_glib_001(k20_glib_001(A,B,C,D),A,B) ) )).
fof(dt_k20_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) & m1_subset_1(B,k18_grcat_1(A)) ) => ( v8_algstr_0(k20_grcat_1(A,B)) & m2_grcat_1(k20_grcat_1(A,B),A) ) ) )).
fof(dt_k20_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v8_group_9(C,A,B) & m1_finseq_1(C,k6_group_9(A,B)) ) => ( v1_relat_1(k20_group_9(A,B,C)) & v1_funct_1(k20_group_9(A,B,C)) & v1_finseq_1(k20_group_9(A,B,C)) ) ) )).
fof(dt_k20_idea_1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => ( v1_funct_1(k20_idea_1(A,B)) & v1_funct_2(k20_idea_1(A,B),k14_idea_1,k14_idea_1) & m1_subset_1(k20_idea_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) ) )).
fof(dt_k20_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) => m1_subset_1(k20_lexbfs(A,B,C),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) )).
fof(dt_k20_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => m2_subset_1(k20_lpspacc1(A,B,C),k1_zfmisc_1(k13_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) ) )).
fof(dt_k20_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k20_lpspace1(A,B,C)) & l1_normsp_1(k20_lpspace1(A,B,C)) ) ) )).
fof(dt_k20_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v2_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrix_0(k20_matrixj1(A,B,C)) & v2_matrix_0(k20_matrixj1(A,B,C),A,k1_wsierp_1(k10_matrixj1(A,C)),k1_wsierp_1(k10_matrixj1(A,C))) & m2_finseq_1(k20_matrixj1(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k20_metric_3,axiom,( v1_funct_1(k20_metric_3) & v1_funct_2(k20_metric_3,k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(k20_metric_3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers))) )).
fof(dt_k20_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k20_mmlquery(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k20_modelc_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ~ v1_xboole_0(k20_modelc_2(A,B)) ) )).
fof(dt_k20_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => m1_subset_1(k20_modelc_3(A,B),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_k20_monoid_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => l3_algstr_0(k20_monoid_1(A)) ) )).
fof(dt_k20_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v2_msualg_4(k20_osafree(A,B),A,k8_osafree(A,B)) & m1_osalg_4(k20_osafree(A,B),A,k8_osafree(A,B)) ) ) )).
fof(dt_k20_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k20_osalg_4(A,B,C,D,E)) & v1_funct_2(k20_osalg_4(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)) & m1_subset_1(k20_osalg_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),E),k1_funct_1(u3_msualg_1(A,C),E)))) ) ) )).
fof(dt_k20_pcs_0,axiom,( ! [A] : ! [B] : ( l2_pcs_0(A) => ( v12_pcs_0(k20_pcs_0(A,B)) & l2_pcs_0(k20_pcs_0(A,B)) ) ) )).
fof(dt_k20_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => ( ~ v1_xboole_0(k20_polyform(A,B)) & m1_subset_1(k20_polyform(A,B),k1_zfmisc_1(k15_polyform(A,B))) ) ) )).
fof(dt_k20_pre_poly,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => m2_finseq_1(k20_pre_poly(A,B),k15_pre_poly(A)) ) )).
fof(dt_k20_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k20_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k20_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k20_qc_lang1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k20_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k20_quofield(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k20_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v8_valued_0(k20_rfunct_3(A,B,C)) & m2_finseq_1(k20_rfunct_3(A,B,C),k1_numbers) ) ) )).
fof(dt_k20_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m1_subset_1(k20_rvsum_1(A),k2_numbers) ) )).
fof(dt_k20_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => v1_xreal_0(k20_seq_4(A)) ) )).
fof(dt_k20_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k20_sin_cos(A)) & v1_funct_2(k20_sin_cos(A),k4_ordinal1,k1_numbers) & m1_subset_1(k20_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k20_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k20_substut1(A,B),k16_substut1(A)) ) )).
fof(dt_k20_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & l1_turing_1(B) ) => ( ~ v1_xboole_0(k20_turing_1(A,B)) & v1_finset_1(k20_turing_1(A,B)) ) ) )).
fof(dt_k20_twoscomp,axiom,( v1_funct_1(k20_twoscomp) & v1_funct_2(k20_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k20_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k20_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k20_valued_1(A,B,C,D,E)) & m1_subset_1(k20_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k20_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_relat_1(k20_valued_2(A,B,C)) & v1_funct_1(k20_valued_2(A,B,C)) ) ) )).
fof(dt_k20_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k20_zf_lang(A)) & m2_finseq_1(k20_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k20_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_finseq_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => m2_finseq_1(k20_zmodul02(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k21_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) => m2_finseq_2(k21_abcmiz_1(A),k2_abcmiz_1,k4_abcmiz_1) ) )).
fof(dt_k21_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & m1_subset_1(C,k4_finseq_2(128,k5_margrel1)) & m1_subset_1(D,k4_finseq_2(128,k5_margrel1)) ) => m2_finseq_2(k21_aescip_1(A,B,C,D),k5_margrel1,k4_finseq_2(128,k5_margrel1)) ) )).
fof(dt_k21_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_aofa_000(D,A,B,C) ) => m1_subset_1(k21_aofa_000(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) )).
fof(dt_k21_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) ) => m1_subset_1(k21_aofa_a00(A,B,C),k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) ) )).
fof(dt_k21_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k9_funct_2(A,B)) & m1_subset_1(D,A) ) => m1_subset_1(k21_aofa_i00(A,B,C,D),B) ) )).
fof(dt_k21_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => m1_subset_1(k21_bvfunc_1(A,B),k5_margrel1) ) )).
fof(dt_k21_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k21_cat_4(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k21_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k20_coh_sp(A)) => m1_subset_1(k21_coh_sp(A,B),k16_coh_sp(A)) ) )).
fof(dt_k21_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_convex4(k21_convex4(A,B),A) & m1_subset_1(k21_convex4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k21_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( v1_funct_1(k21_ens_1(A,B,C)) & v1_funct_2(k21_ens_1(A,B,C),k2_cat_1(A,k4_graph_1(A,B),k3_graph_1(A,C)),k2_cat_1(A,k3_graph_1(A,B),k4_graph_1(A,C))) & m1_subset_1(k21_ens_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_cat_1(A,k4_graph_1(A,B),k3_graph_1(A,C)),k2_cat_1(A,k3_graph_1(A,B),k4_graph_1(A,C))))) ) ) )).
fof(dt_k21_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_2(k21_euclid(A),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k21_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k21_fomodel1(A)) & v1_funct_2(k21_fomodel1(A),k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A))) & m1_subset_1(k21_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A))))) ) ) )).
fof(dt_k21_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k21_fomodel2(A,B)) & v1_funct_2(k21_fomodel2(A,B),k4_ordinal1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) & m1_subset_1(k21_fomodel2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)))) ) ) )).
fof(dt_k21_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v2_fomodel3(E,A,B,C,D) & m1_fomodel2(E,A,B,C) ) => m2_fomodel2(k21_fomodel3(A,B,C,D,E),A,k8_eqrel_1(B,D),C) ) )).
fof(dt_k21_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k21_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k21_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k21_ftacell1(A,B,C,D,E),k3_msafree2(k19_ftacell1(A,B,C,D,E))) )).
fof(dt_k21_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k21_gfacirc1(A,B,C),u1_struct_0(k19_gfacirc1(A,B,C)),k3_msafree2(k19_gfacirc1(A,B,C))) )).
fof(dt_k21_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k21_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k21_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) & m1_subset_1(B,A) ) => ( v1_grcat_1(k21_grcat_1(A,B)) & m3_grcat_1(k21_grcat_1(A,B),k18_grcat_1(A)) ) ) )).
fof(dt_k21_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v8_group_9(C,A,B) & m1_finseq_1(C,k6_group_9(A,B)) & v8_group_9(D,A,B) & m1_finseq_1(D,k6_group_9(A,B)) ) => ( v8_group_9(k21_group_9(A,B,C,D),A,B) & m2_finseq_1(k21_group_9(A,B,C,D),k6_group_9(A,B)) ) ) )).
fof(dt_k21_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_funct_1(k21_idea_1(A,B)) & v1_funct_2(k21_idea_1(A,B),k14_idea_1,k14_idea_1) & m1_subset_1(k21_idea_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) ) )).
fof(dt_k21_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ( v3_lattices(k21_interva1(A)) & l3_lattices(k21_interva1(A)) ) ) )).
fof(dt_k21_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) ) => m1_subset_1(k21_lexbfs(A,B,C,D),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) )).
fof(dt_k21_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k21_lpspacc1(A,B,C)) & v1_funct_2(k21_lpspacc1(A,B,C),k2_zfmisc_1(k2_numbers,k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)) & m1_subset_1(k21_lpspacc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k18_lpspacc1(A,B,C)),k18_lpspacc1(A,B,C)))) ) ) )).
fof(dt_k21_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v2_matrixj1(B,u1_struct_0(A)) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => m2_finseq_1(k21_matrixj1(A,B),u1_struct_0(A)) ) )).
fof(dt_k21_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k21_mmlquery(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k21_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) & m1_subset_1(C,k4_ordinal1) ) => ~ v1_xboole_0(k21_modelc_1(A,B,C)) ) )).
fof(dt_k21_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) & v1_modelc_2(C) & m1_finseq_1(C,k4_ordinal1) ) => m1_subset_1(k21_modelc_2(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k21_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => v7_ordinal1(k21_modelc_3(A,B)) ) )).
fof(dt_k21_monoid_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ( ~ v2_struct_0(k21_monoid_1(A)) & v22_algstr_0(k21_monoid_1(A)) & v4_vectsp_1(k21_monoid_1(A)) & l4_algstr_0(k21_monoid_1(A)) ) ) )).
fof(dt_k21_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k21_osafree(A,B,C),k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),C))) ) )).
fof(dt_k21_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) => m2_pboole(k21_osalg_4(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D))),u3_msualg_1(A,C)) ) )).
fof(dt_k21_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( v12_pcs_0(k21_pcs_0(A)) & l2_pcs_0(k21_pcs_0(A)) ) ) )).
fof(dt_k21_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => m1_vectsp_4(k21_polyform(A,B),k2_bspace,k14_polyform(A,B)) ) )).
fof(dt_k21_pre_poly,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => m2_finseq_1(k21_pre_poly(A,B),k4_finseq_2(2,k15_pre_poly(A))) ) )).
fof(dt_k21_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k21_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k21_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m2_subset_1(k21_qc_lang1(A,B),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_k21_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => m1_subset_1(k21_quaterni(A,B),k1_quaterni) ) )).
fof(dt_k21_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k21_quofield(A,B,C),k1_quofield(A)) ) )).
fof(dt_k21_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v1_xreal_0(k21_rfunct_3(A,B,C)) ) )).
fof(dt_k21_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v1_xreal_0(k21_rvsum_1(A)) ) )).
fof(dt_k21_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & v1_xreal_0(C) ) => m1_subset_1(k21_seq_4(A,B,C),k1_zfmisc_1(k12_seq_4(A))) ) )).
fof(dt_k21_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k21_sin_cos(A)) & v1_funct_2(k21_sin_cos(A),k4_ordinal1,k1_numbers) & m1_subset_1(k21_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k21_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) & m1_subset_1(C,k16_substut1(A)) ) => m1_subset_1(k21_substut1(A,B,C),k16_substut1(A)) ) )).
fof(dt_k21_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) ) => m1_subset_1(k21_turing_1(A,B,C),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) ) )).
fof(dt_k21_twoscomp,axiom,( v1_funct_1(k21_twoscomp) & v1_funct_2(k21_twoscomp,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k21_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k21_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ( v1_relat_1(k21_valued_2(A)) & v1_funct_1(k21_valued_2(A)) ) ) )).
fof(dt_k21_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k21_zf_lang(A)) & m2_finseq_1(k21_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k21_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) ) => m1_subset_1(k21_zmodul02(A,B),u1_struct_0(A)) ) )).
fof(dt_k22_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) => m1_subset_1(k22_abcmiz_1(A),k4_ordinal1) ) )).
fof(dt_k22_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & m1_subset_1(C,k4_finseq_2(128,k5_margrel1)) & m1_subset_1(D,k4_finseq_2(128,k5_margrel1)) ) => m2_finseq_2(k22_aescip_1(A,B,C,D),k5_margrel1,k4_finseq_2(128,k5_margrel1)) ) )).
fof(dt_k22_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) ) => m1_subset_1(k22_aofa_a00(A,B,C,D),k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) ) )).
fof(dt_k22_aofa_i00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( v1_funct_1(k22_aofa_i00(A,B)) & v1_funct_2(k22_aofa_i00(A,B),k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(k22_aofa_i00(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) ) )).
fof(dt_k22_binop_2,axiom,( v1_funct_1(k22_binop_2) & v1_funct_2(k22_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m1_subset_1(k22_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers))) )).
fof(dt_k22_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k22_cat_4(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k22_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k20_coh_sp(A)) => m1_subset_1(k22_coh_sp(A,B),k16_coh_sp(A)) ) )).
fof(dt_k22_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v1_funct_1(k22_ens_1(A)) & v1_funct_2(k22_ens_1(A),u4_struct_0(k6_cat_2(A,A)),k2_ens_1(k16_ens_1(A))) & m1_subset_1(k22_ens_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k6_cat_2(A,A)),k2_ens_1(k16_ens_1(A))))) ) ) )).
fof(dt_k22_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k22_euclid(A),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k22_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k22_fomodel1(A)) & v1_funct_2(k22_fomodel1(A),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A)) & m1_subset_1(k22_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A)))) ) ) )).
fof(dt_k22_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) ) => m2_rfunct_3(k22_fomodel2(A,B,C),k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1,k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k5_margrel1)) ) )).
fof(dt_k22_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => ( v1_relat_1(k22_fomodel3(A,B,C,D)) & v1_funct_1(k22_fomodel3(A,B,C,D)) ) ) )).
fof(dt_k22_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k22_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) )).
fof(dt_k22_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k22_ftacell1(A,B,C,D,E),k3_msafree2(k19_ftacell1(A,B,C,D,E))) )).
fof(dt_k22_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k22_gfacirc1(A,B,C)) & ~ v11_struct_0(k22_gfacirc1(A,B,C)) & v1_msualg_1(k22_gfacirc1(A,B,C)) & v1_circcomb(k22_gfacirc1(A,B,C)) & v2_circcomb(k22_gfacirc1(A,B,C)) & v3_circcomb(k22_gfacirc1(A,B,C)) & l1_msualg_1(k22_gfacirc1(A,B,C)) ) )).
fof(dt_k22_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k22_glib_000(A,B,C),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k22_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ( v1_funct_1(k22_grcat_1(A)) & v1_funct_2(k22_grcat_1(A),k18_grcat_1(A),A) & m1_subset_1(k22_grcat_1(A),k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A),A))) ) ) )).
fof(dt_k22_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_funct_1(k22_idea_1(A,B)) & v1_funct_2(k22_idea_1(A,B),k14_idea_1,k14_idea_1) & m1_subset_1(k22_idea_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k14_idea_1,k14_idea_1))) ) ) )).
fof(dt_k22_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => m2_interva1(k22_interva1(A),A) ) )).
fof(dt_k22_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) => m1_subset_1(k22_lexbfs(A,B),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) )).
fof(dt_k22_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k22_lpspacc1(A,B,C)) & v13_algstr_0(k22_lpspacc1(A,B,C)) & v2_rlvect_1(k22_lpspacc1(A,B,C)) & v3_rlvect_1(k22_lpspacc1(A,B,C)) & v4_rlvect_1(k22_lpspacc1(A,B,C)) & v1_clvect_1(k22_lpspacc1(A,B,C)) & v2_clvect_1(k22_lpspacc1(A,B,C)) & v3_clvect_1(k22_lpspacc1(A,B,C)) & v4_clvect_1(k22_lpspacc1(A,B,C)) & v5_clvect_1(k22_lpspacc1(A,B,C)) & l1_clvect_1(k22_lpspacc1(A,B,C)) ) ) )).
fof(dt_k22_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v2_matrixj1(B,u1_struct_0(A)) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => m2_finseq_2(k22_matrixj1(A,B),u1_struct_0(A),k4_finseq_2(k3_finseq_1(B),u1_struct_0(A))) ) )).
fof(dt_k22_metric_3,axiom,( v1_funct_1(k22_metric_3) & v1_funct_2(k22_metric_3,k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers) & m1_subset_1(k22_metric_3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)),k1_numbers))) )).
fof(dt_k22_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k22_mmlquery(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k22_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k22_modelc_1(A,B,C)) & v1_funct_2(k22_modelc_1(A,B,C),k12_modelc_1,u1_struct_0(A)) & m1_subset_1(k22_modelc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) ) )).
fof(dt_k22_modelc_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k22_modelc_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k22_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ~ v1_xboole_0(k22_modelc_3(A)) ) )).
fof(dt_k22_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),B,D)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),B,D)) ) => m1_msualg_6(k22_msafree5(A,B,C,D,E,F),A,C) ) )).
fof(dt_k22_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m3_pboole(k22_osafree(A,B),u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B))) ) )).
fof(dt_k22_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_osalg_4(E,A,B) & m1_subset_1(F,u1_struct_0(A)) ) => ( v1_funct_1(k22_osalg_4(A,B,C,D,E,F)) & v1_funct_2(k22_osalg_4(A,B,C,D,E,F),k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,E)),F),k1_funct_1(u3_msualg_1(A,C),F)) & m1_subset_1(k22_osalg_4(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,k16_osalg_4(A,B,E)),F),k1_funct_1(u3_msualg_1(A,C),F)))) ) ) )).
fof(dt_k22_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & l2_pcs_0(B) ) => l2_pcs_0(k22_pcs_0(A,B)) ) )).
fof(dt_k22_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => ( ~ v1_xboole_0(k22_polyform(A,B)) & m1_subset_1(k22_polyform(A,B),k1_zfmisc_1(k15_polyform(A,B))) ) ) )).
fof(dt_k22_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ( v1_finset_1(k22_pre_poly(A,B)) & m1_subset_1(k22_pre_poly(A,B),k1_zfmisc_1(A)) ) ) )).
fof(dt_k22_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k22_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k22_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k22_qc_lang1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k22_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => m1_subset_1(k22_quaterni(A,B),k1_quaterni) ) )).
fof(dt_k22_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v1_funct_1(k22_quofield(A)) & v1_funct_2(k22_quofield(A),u1_struct_0(A),u1_struct_0(k19_quofield(A))) & m1_subset_1(k22_quofield(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k19_quofield(A))))) ) ) )).
fof(dt_k22_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => v1_xreal_0(k22_rvsum_1(A,B)) ) )).
fof(dt_k22_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => v1_xreal_0(k22_seq_4(A,B,C)) ) )).
fof(dt_k22_sin_cos,axiom,( v1_funct_1(k22_sin_cos) & v1_funct_2(k22_sin_cos,k1_numbers,k1_numbers) & m1_subset_1(k22_sin_cos,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k22_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => m1_subset_1(k22_substut1(A,B),k16_substut1(A)) ) )).
fof(dt_k22_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k3_zfmisc_1(u2_turing_1(B),u1_turing_1(B),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) ) => m1_subset_1(k22_turing_1(A,B,C),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) ) )).
fof(dt_k22_twoscomp,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k22_twoscomp(A,B)) & ~ v11_struct_0(k22_twoscomp(A,B)) & v1_msualg_1(k22_twoscomp(A,B)) & v1_circcomb(k22_twoscomp(A,B)) & v2_circcomb(k22_twoscomp(A,B)) & v3_circcomb(k22_twoscomp(A,B)) & l1_msualg_1(k22_twoscomp(A,B)) ) )).
fof(dt_k22_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_membered(B) & v5_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k22_valued_1(A,B,C,D,E)) & m1_subset_1(k22_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k22_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k22_valued_2(A,B,C)) & m1_subset_1(k22_valued_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k22_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => m2_subset_1(k22_zf_lang(A),k4_ordinal1,k1_zf_lang) ) )).
fof(dt_k22_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_zmodul02(B,A) & m1_zmodul02(C,A) ) => m1_zmodul02(k22_zmodul02(A,B,C),A) ) )).
fof(dt_k23_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => m1_subset_1(k23_abcmiz_1(A),k1_enumset1(k6_abcmiz_1,k7_abcmiz_1,k8_abcmiz_1)) ) )).
fof(dt_k23_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & m1_subset_1(C,k4_finseq_2(128,k5_margrel1)) & m1_subset_1(D,k4_finseq_2(192,k5_margrel1)) ) => m2_finseq_2(k23_aescip_1(A,B,C,D),k5_margrel1,k4_finseq_2(128,k5_margrel1)) ) )).
fof(dt_k23_aofa_i00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k9_funct_2(A,k4_numbers),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),A))) ) => ( v1_funct_1(k23_aofa_i00(A,B)) & v1_funct_2(k23_aofa_i00(A,B),k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(k23_aofa_i00(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) ) )).
fof(dt_k23_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v1_relat_1(F) & ~ v3_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & v1_aofa_l00(F,D) & v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,F) ) => m1_subset_1(k23_aofa_l00(A,B,C,D,E,F,G,H,I),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E))) ) )).
fof(dt_k23_binop_2,axiom,( v1_funct_1(k23_binop_2) & v1_funct_2(k23_binop_2,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(k23_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) )).
fof(dt_k23_cat_4,axiom,( ! [A] : ! [B] : ( v5_cat_4(k23_cat_4(A,B)) & l2_cat_4(k23_cat_4(A,B)) ) )).
fof(dt_k23_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k16_coh_sp(A)) => m1_subset_1(k23_coh_sp(A,B),k20_coh_sp(A)) ) )).
fof(dt_k23_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => m2_cat_1(k23_ens_1(A,B,C),B,k11_ens_1(A)) ) )).
fof(dt_k23_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & m1_subset_1(D,k15_fomodel2(A,B)) ) => m2_rfunct_3(k23_fomodel2(A,B,C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k5_margrel1,k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k5_margrel1)) ) )).
fof(dt_k23_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) & v3_fomodel3(D,A,B,C) ) => m2_subset_1(k23_fomodel3(A,B,C,D),k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(k8_eqrel_1(B,C)),k2_xboole_0(k8_eqrel_1(B,C),k5_margrel1))),k15_fomodel2(A,k8_eqrel_1(B,C))) ) )).
fof(dt_k23_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) ) => m2_funct_2(k23_fomodel4(A,B),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k23_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k23_ftacell1(A,B,C,D,E),k3_msafree2(k19_ftacell1(A,B,C,D,E))) )).
fof(dt_k23_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k23_gfacirc1(A,B,C),k22_gfacirc1(A,B,C)) & v4_msafree2(k23_gfacirc1(A,B,C),k22_gfacirc1(A,B,C)) & v4_circcomb(k23_gfacirc1(A,B,C),k22_gfacirc1(A,B,C)) & v6_circcomb(k23_gfacirc1(A,B,C),k22_gfacirc1(A,B,C)) & l3_msualg_1(k23_gfacirc1(A,B,C),k22_gfacirc1(A,B,C)) ) )).
fof(dt_k23_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k23_glib_000(A,B,C),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k23_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ( v1_funct_1(k23_grcat_1(A)) & v1_funct_2(k23_grcat_1(A),k18_grcat_1(A),A) & m1_subset_1(k23_grcat_1(A),k1_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A),A))) ) ) )).
fof(dt_k23_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => m2_interva1(k23_interva1(A),A) ) )).
fof(dt_k23_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_lexbfs(B,A) & v7_ordinal1(C) ) => m1_subset_1(k23_lexbfs(A,B,C),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k4_ordinal1))) ) )).
fof(dt_k23_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k23_lpspacc1(A,B,C)) & v1_funct_2(k23_lpspacc1(A,B,C),u1_struct_0(k22_lpspacc1(A,B,C)),k1_numbers) & m1_subset_1(k23_lpspacc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k22_lpspacc1(A,B,C)),k1_numbers))) ) ) )).
fof(dt_k23_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_finseq_1(B,k4_ordinal1) ) => ( v2_matrixj1(k23_matrixj1(A,B),u1_struct_0(A)) & m2_finseq_1(k23_matrixj1(A,B),k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) ) )).
fof(dt_k23_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k23_mmlquery(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k23_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ~ v1_xboole_0(k23_modelc_1(A,B)) ) )).
fof(dt_k23_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k23_modelc_2(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k23_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ~ v1_xboole_0(k23_modelc_3(A)) ) )).
fof(dt_k23_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k23_osafree(A,B,C),k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,k16_osafree(A,B)),C))) ) )).
fof(dt_k23_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_osalg_4(E,A,B) ) => m2_pboole(k23_osalg_4(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,k16_osalg_4(A,B,E)),u3_msualg_1(A,C)) ) )).
fof(dt_k23_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & l2_pcs_0(B) ) => l2_pcs_0(k23_pcs_0(A,B)) ) )).
fof(dt_k23_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( v1_funct_1(k23_pre_poly(A,B,C)) & m1_subset_1(k23_pre_poly(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) ) )).
fof(dt_k23_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k23_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k23_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k2_qc_lang1(A)) ) => m1_subset_1(k23_qc_lang1(A,B),k1_zfmisc_1(k3_qc_lang1(A))) ) )).
fof(dt_k23_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => m1_subset_1(k23_quaterni(A),k1_quaterni) ) )).
fof(dt_k23_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & v1_xreal_0(C) ) => m1_subset_1(k23_seq_4(A,B,C),k1_zfmisc_1(k12_seq_4(A))) ) )).
fof(dt_k23_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => m2_subset_1(k23_substut1(A,B),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_k23_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k20_turing_1(A,B)) ) => m1_subset_1(k23_turing_1(A,B,C),u2_turing_1(A)) ) )).
fof(dt_k23_twoscomp,axiom,( ! [A] : ! [B] : ( v3_msualg_1(k23_twoscomp(A,B),k22_twoscomp(A,B)) & v4_msafree2(k23_twoscomp(A,B),k22_twoscomp(A,B)) & v4_circcomb(k23_twoscomp(A,B),k22_twoscomp(A,B)) & v6_circcomb(k23_twoscomp(A,B),k22_twoscomp(A,B)) & l3_msualg_1(k23_twoscomp(A,B),k22_twoscomp(A,B)) ) )).
fof(dt_k23_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k23_zf_lang(A)) & m2_finseq_1(k23_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k23_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) & v1_int_1(C) ) => m1_zmodul02(k23_zmodul02(A,B,C),A) ) )).
fof(dt_k24_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => m1_subset_1(k24_abcmiz_1(A),k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) ) )).
fof(dt_k24_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & m1_subset_1(C,k4_finseq_2(128,k5_margrel1)) & m1_subset_1(D,k4_finseq_2(192,k5_margrel1)) ) => m2_finseq_2(k24_aescip_1(A,B,C,D),k5_margrel1,k4_finseq_2(128,k5_margrel1)) ) )).
fof(dt_k24_aofa_i00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( v1_funct_1(k24_aofa_i00(A,B)) & v1_funct_2(k24_aofa_i00(A,B),k9_funct_2(A,k4_numbers),A) & m1_subset_1(k24_aofa_i00(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),A))) ) ) )).
fof(dt_k24_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) & m1_subset_1(H,u1_struct_0(F)) ) => m1_subset_1(k24_aofa_l00(A,B,C,D,E,F,G,H),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) ) )).
fof(dt_k24_binop_2,axiom,( v1_funct_1(k24_binop_2) & v1_funct_2(k24_binop_2,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(k24_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) )).
fof(dt_k24_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k24_cat_4(A,B),A,k19_cat_4(A),B) ) )).
fof(dt_k24_coh_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k20_coh_sp(A)) & m1_subset_1(C,k20_coh_sp(A)) ) => m1_subset_1(k24_coh_sp(A,B,C),k20_coh_sp(A)) ) )).
fof(dt_k24_descip_1,axiom,( ! [A] : ( m1_subset_1(A,k4_finseq_2(64,k5_margrel1)) => m2_finseq_2(k24_descip_1(A),k5_margrel1,k4_finseq_2(64,k5_margrel1)) ) )).
fof(dt_k24_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => m1_oppcat_1(k24_ens_1(A,B,C),B,k11_ens_1(A)) ) )).
fof(dt_k24_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => m1_subset_1(k24_fomodel0(A,B),k1_zfmisc_1(B)) ) )).
fof(dt_k24_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => m2_subset_1(k24_fomodel1(A,B,C),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k24_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => m1_subset_1(k24_fomodel2(A,B),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k24_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(C,k1_fomodel1(A)) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(k24_fomodel3(A,B,C,D),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k24_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k24_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k24_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k24_ftacell1(A,B,C,D,E),k3_msafree2(k19_ftacell1(A,B,C,D,E))) )).
fof(dt_k24_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k24_gfacirc1(A,B,C),u1_struct_0(k22_gfacirc1(A,B,C)),k3_msafree2(k22_gfacirc1(A,B,C))) )).
fof(dt_k24_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_glib_000(B,A) ) => ( ~ v1_xboole_0(k24_glib_000(A,B)) & m1_subset_1(k24_glib_000(A,B),k1_zfmisc_1(k6_glib_000(A))) ) ) )).
fof(dt_k24_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ( v1_funct_1(k24_grcat_1(A)) & m1_subset_1(k24_grcat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k18_grcat_1(A),k18_grcat_1(A)),k18_grcat_1(A)))) ) ) )).
fof(dt_k24_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k24_lpspacc1(A,B,C)) & l2_clvect_1(k24_lpspacc1(A,B,C)) ) ) )).
fof(dt_k24_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrixj1(B,u1_struct_0(A)) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & m1_finseq_1(C,u1_struct_0(A)) ) => ( v1_matrixj1(k24_matrixj1(A,B,C),u1_struct_0(A)) & m2_finseq_1(k24_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) ) )).
fof(dt_k24_mmlquery,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v7_ordinal1(k24_mmlquery(A,B)) ) )).
fof(dt_k24_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) & v1_modelc_1(C) & m1_finseq_1(C,k4_ordinal1) ) => m1_subset_1(k24_modelc_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k24_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k24_modelc_2(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k24_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & m1_orders_1(B,k6_partfun1(k1_orders_1(k1_modelc_3(A)))) & v1_modelc_3(C,A) & l1_modelc_3(C,A) ) => ( v1_modelc_2(k24_modelc_3(A,B,C)) & m2_finseq_1(k24_modelc_3(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k24_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) & v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( v1_funct_1(k24_msafree5(A,B,C,D,E)) & v1_funct_2(k24_msafree5(A,B,C,D,E),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k3_msafree5(A,k1_msafree3(A,B),E))) & m1_subset_1(k24_msafree5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k3_msafree5(A,k1_msafree3(A,B),E))))) ) ) )).
fof(dt_k24_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_osafree(k24_osafree(A,B),A,k16_osafree(A,B)) ) )).
fof(dt_k24_pcs_0,axiom,( ! [A] : ! [B] : ( l1_orders_2(A) => m1_subset_1(k24_pcs_0(A,B),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) )).
fof(dt_k24_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k24_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k24_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k24_qc_lang1(A,B),k1_zfmisc_1(k3_qc_lang1(A))) ) )).
fof(dt_k24_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => m1_subset_1(k24_quaterni(A,B),k1_quaterni) ) )).
fof(dt_k24_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => v1_xreal_0(k24_seq_4(A,B,C)) ) )).
fof(dt_k24_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( v1_funct_1(k24_sin_cos(A)) & v1_funct_2(k24_sin_cos(A),k4_ordinal1,k2_numbers) & m1_subset_1(k24_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k24_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) & m1_substut1(C,A,B) ) => m1_subset_1(k24_substut1(A,B,C),k16_substut1(A)) ) )).
fof(dt_k24_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k20_turing_1(A,B)) ) => m1_subset_1(k24_turing_1(A,B,C),u2_turing_1(B)) ) )).
fof(dt_k24_twoscomp,axiom,( ! [A] : ! [B] : m1_subset_1(k24_twoscomp(A,B),k3_msafree2(k22_twoscomp(A,B))) )).
fof(dt_k24_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) ) ) )).
fof(dt_k24_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k24_zf_lang(A)) & m2_finseq_1(k24_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k24_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) ) => m1_zmodul02(k24_zmodul02(A,B),A) ) )).
fof(dt_k25_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => m2_finseq_2(k25_abcmiz_1(A),k2_abcmiz_1,k4_abcmiz_1) ) )).
fof(dt_k25_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & m1_subset_1(C,k4_finseq_2(128,k5_margrel1)) & m1_subset_1(D,k4_finseq_2(256,k5_margrel1)) ) => m2_finseq_2(k25_aescip_1(A,B,C,D),k5_margrel1,k4_finseq_2(128,k5_margrel1)) ) )).
fof(dt_k25_aofa_i00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_int_1(B) ) => ( v1_funct_1(k25_aofa_i00(A,B)) & v1_funct_2(k25_aofa_i00(A,B),k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(k25_aofa_i00(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) ) )).
fof(dt_k25_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) & m1_subset_1(H,u1_struct_0(F)) ) => m1_subset_1(k25_aofa_l00(A,B,C,D,E,F,G,H),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) ) )).
fof(dt_k25_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k25_cat_4(A,B,C),A,B,k20_cat_4(A,B,C)) ) )).
fof(dt_k25_coh_sp,axiom,( ! [A] : ( v1_funct_1(k25_coh_sp(A)) & v1_funct_2(k25_coh_sp(A),k20_coh_sp(A),k16_coh_sp(A)) & m1_subset_1(k25_coh_sp(A),k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A),k16_coh_sp(A)))) ) )).
fof(dt_k25_descip_1,axiom,( v1_funct_1(k25_descip_1) & v1_funct_2(k25_descip_1,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & m1_subset_1(k25_descip_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)))) )).
fof(dt_k25_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => m2_cat_1(k25_ens_1(A,B),k6_cat_2(k2_oppcat_1(B),B),k11_ens_1(A)) ) )).
fof(dt_k25_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_relat_1(k25_fomodel1(A)) & v1_funct_1(k25_fomodel1(A)) ) ) )).
fof(dt_k25_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_fomodel2(A,B)) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m1_subset_1(k25_fomodel2(A,B,C,D),k5_margrel1) ) )).
fof(dt_k25_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(k25_fomodel3(A,B,C),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k25_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k25_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k25_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k25_gfacirc1(A,B,C)) & ~ v11_struct_0(k25_gfacirc1(A,B,C)) & v1_msualg_1(k25_gfacirc1(A,B,C)) & v1_circcomb(k25_gfacirc1(A,B,C)) & v2_circcomb(k25_gfacirc1(A,B,C)) & v3_circcomb(k25_gfacirc1(A,B,C)) & l1_msualg_1(k25_gfacirc1(A,B,C)) ) )).
fof(dt_k25_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_glib_000(B,A) ) => m1_subset_1(k25_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k25_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ~ v2_struct_0(k25_grcat_1(A)) & ~ v11_struct_0(k25_grcat_1(A)) & v1_cat_1(k25_grcat_1(A)) & l1_cat_1(k25_grcat_1(A)) ) ) )).
fof(dt_k25_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_lexbfs(B,A) ) => m1_lexbfs(k25_lexbfs(A,B),A) ) )).
fof(dt_k25_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrixj1(B,u1_struct_0(A)) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_matrixj1(C,u1_struct_0(A)) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( v1_matrixj1(k25_matrixj1(A,B,C),u1_struct_0(A)) & m2_finseq_1(k25_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) ) )).
fof(dt_k25_mmlquery,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v7_ordinal1(k25_mmlquery(A)) ) )).
fof(dt_k25_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k25_modelc_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k25_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k25_modelc_2(A)) ) )).
fof(dt_k25_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) & m1_orders_1(C,k6_partfun1(k1_orders_1(k1_modelc_3(B)))) & v1_modelc_3(D,B) & l1_modelc_3(D,B) ) => ( v1_modelc_3(k25_modelc_3(A,B,C,D),B) & l1_modelc_3(k25_modelc_3(A,B,C,D),B) ) ) )).
fof(dt_k25_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_finseq_1(B)) ) => m1_subset_1(k25_msafree5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k25_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_msualg_4(C,A,k8_osafree(A,B)) & v3_msualg_4(C,A,k8_osafree(A,B)) & m1_osalg_4(C,A,k8_osafree(A,B)) & m1_subset_1(D,k4_dtconstr(k2_osafree(A,B))) ) => m1_subset_1(k25_osafree(A,B,C,D),k6_osalg_4(A,k8_osafree(A,B),C,k10_osafree(A,B,D))) ) )).
fof(dt_k25_pcs_0,axiom,( ! [A] : ! [B] : ( l1_pcs_0(A) => m1_subset_1(k25_pcs_0(A,B),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) )).
fof(dt_k25_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => m2_finseq_1(k25_polyform(A),k4_numbers) ) )).
fof(dt_k25_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k25_pscomp_1(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k25_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_qc_lang1(A))) ) => m1_subset_1(k25_qc_lang1(A,B),k1_qc_lang1(A)) ) )).
fof(dt_k25_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => v1_quaterni(k25_quaterni(A)) ) )).
fof(dt_k25_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k25_seq_4(A),k1_zfmisc_1(k1_zfmisc_1(k12_seq_4(A)))) ) )).
fof(dt_k25_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => m1_subset_1(k25_substut1(A,B,C),k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) )).
fof(dt_k25_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)))) ) => m1_subset_1(k25_turing_1(A,B,C),u2_turing_1(A)) ) )).
fof(dt_k25_twoscomp,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k25_twoscomp(A,B)) & ~ v11_struct_0(k25_twoscomp(A,B)) & v1_msualg_1(k25_twoscomp(A,B)) & v1_circcomb(k25_twoscomp(A,B)) & v2_circcomb(k25_twoscomp(A,B)) & v3_circcomb(k25_twoscomp(A,B)) & l1_msualg_1(k25_twoscomp(A,B)) ) )).
fof(dt_k25_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k25_valued_1(A,B,C,D)) & m1_subset_1(k25_valued_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k25_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ( v1_relat_1(k25_valued_2(A)) & v1_funct_1(k25_valued_2(A)) ) ) )).
fof(dt_k25_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k25_zf_lang(A)) & m2_finseq_1(k25_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k25_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) & m1_zmodul02(C,A) ) => m1_zmodul02(k25_zmodul02(A,B,C),A) ) )).
fof(dt_k26_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => v7_ordinal1(k26_abcmiz_1(A)) ) )).
fof(dt_k26_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) & m1_subset_1(C,k4_finseq_2(128,k5_margrel1)) & m1_subset_1(D,k4_finseq_2(256,k5_margrel1)) ) => m2_finseq_2(k26_aescip_1(A,B,C,D),k5_margrel1,k4_finseq_2(128,k5_margrel1)) ) )).
fof(dt_k26_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_msafree4(k26_aofa_a00(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) )).
fof(dt_k26_aofa_i00,axiom,( ~ v1_finset_1(k26_aofa_i00) & v1_freealg(k26_aofa_i00) )).
fof(dt_k26_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) & m1_subset_1(H,u1_struct_0(F)) ) => m1_subset_1(k26_aofa_l00(A,B,C,D,E,F,G,H),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) ) )).
fof(dt_k26_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k26_cat_4(A,B,C),A,C,k20_cat_4(A,B,C)) ) )).
fof(dt_k26_coh_sp,axiom,( ! [A] : ( v1_funct_1(k26_coh_sp(A)) & v1_funct_2(k26_coh_sp(A),k20_coh_sp(A),k16_coh_sp(A)) & m1_subset_1(k26_coh_sp(A),k1_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A),k16_coh_sp(A)))) ) )).
fof(dt_k26_descip_1,axiom,( ! [A] : ( m1_subset_1(A,k4_finseq_2(64,k5_margrel1)) => m2_finseq_2(k26_descip_1(A),k5_margrel1,k4_finseq_2(64,k5_margrel1)) ) )).
fof(dt_k26_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k26_fomodel1(A),k1_zfmisc_1(k3_finseq_2(k15_fomodel1(A)))) ) )).
fof(dt_k26_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k35_fomodel1(A)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_relat_1(k26_fomodel3(A,B,C,D)) & v1_funct_1(k26_fomodel3(A,B,C,D)) & v1_finseq_1(k26_fomodel3(A,B,C,D)) ) ) )).
fof(dt_k26_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k26_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k26_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k26_gfacirc1(A,B,C),k25_gfacirc1(A,B,C)) & v4_msafree2(k26_gfacirc1(A,B,C),k25_gfacirc1(A,B,C)) & v4_circcomb(k26_gfacirc1(A,B,C),k25_gfacirc1(A,B,C)) & v6_circcomb(k26_gfacirc1(A,B,C),k25_gfacirc1(A,B,C)) & l3_msualg_1(k26_gfacirc1(A,B,C),k25_gfacirc1(A,B,C)) ) )).
fof(dt_k26_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k26_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k26_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => m1_subset_1(k26_grcat_1(A),k1_zfmisc_1(u1_struct_0(k25_grcat_1(A)))) ) )).
fof(dt_k26_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => m3_lexbfs(k26_lexbfs(A),A) ) )).
fof(dt_k26_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrixj1(B,u1_struct_0(A)) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_matrixj1(C,u1_struct_0(A)) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( v1_matrixj1(k26_matrixj1(A,B,C),u1_struct_0(A)) & m2_finseq_1(k26_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) ) )).
fof(dt_k26_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k9_setfam_1(A)) & v7_ordinal1(C) ) => m1_subset_1(k26_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k26_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k26_modelc_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k26_modelc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => m1_subset_1(k26_modelc_2(A,B),k25_modelc_2(A)) ) )).
fof(dt_k26_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) & m1_orders_1(C,k6_partfun1(k1_orders_1(k1_modelc_3(B)))) ) => ( v1_funct_1(k26_modelc_3(A,B,C)) & v1_funct_2(k26_modelc_3(A,B,C),k22_modelc_3(B),k22_modelc_3(B)) & m1_subset_1(k26_modelc_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(B),k22_modelc_3(B)))) ) ) )).
fof(dt_k26_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(B)) & m1_subset_1(E,k4_finseq_1(C)) ) => m1_msafree4(k26_msafree5(A,B,C,D,E),u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,C,E))) ) )).
fof(dt_k26_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m2_pboole(D,u1_struct_0(A),k22_osafree(A,B),C) & m1_subset_1(E,u1_struct_0(k2_osafree(A,B))) ) => m1_subset_1(k26_osafree(A,B,C,D,E),k3_card_3(C)) ) )).
fof(dt_k26_pcs_0,axiom,( ! [A] : ! [B] : ( l2_pcs_0(A) => l2_pcs_0(k26_pcs_0(A,B)) ) )).
fof(dt_k26_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => m2_finseq_1(k26_polyform(A),k4_numbers) ) )).
fof(dt_k26_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k26_qc_lang1(A),k1_qc_lang1(A)) ) )).
fof(dt_k26_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => m1_subset_1(k26_quaterni(A),k1_quaterni) ) )).
fof(dt_k26_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => ( v5_valued_0(k26_seq_4(A)) & m2_finseq_1(k26_seq_4(A),k1_numbers) ) ) )).
fof(dt_k26_sin_cos,axiom,( v1_funct_1(k26_sin_cos) & m1_subset_1(k26_sin_cos,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k26_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m2_finseq_1(k26_substut1(A,B),k2_qc_lang1(A)) ) )).
fof(dt_k26_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)))) ) => m1_subset_1(k26_turing_1(A,B,C),u2_turing_1(B)) ) )).
fof(dt_k26_twoscomp,axiom,( ! [A] : ! [B] : ( v3_msualg_1(k26_twoscomp(A,B),k25_twoscomp(A,B)) & v4_msafree2(k26_twoscomp(A,B),k25_twoscomp(A,B)) & v4_circcomb(k26_twoscomp(A,B),k25_twoscomp(A,B)) & v6_circcomb(k26_twoscomp(A,B),k25_twoscomp(A,B)) & l3_msualg_1(k26_twoscomp(A,B),k25_twoscomp(A,B)) ) )).
fof(dt_k26_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k26_valued_1(A,B,C,D)) & m1_subset_1(k26_valued_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k26_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k26_valued_2(A,B,C)) & m1_subset_1(k26_valued_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k26_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k26_zf_lang(A)) & m2_finseq_1(k26_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k27_abcmiz_1,axiom,( v1_msualg_1(k27_abcmiz_1) & v1_instalg1(k27_abcmiz_1) & v1_abcmiz_1(k27_abcmiz_1) & l1_msualg_1(k27_abcmiz_1) )).
fof(dt_k27_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_msafree4(k27_aofa_a00(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) )).
fof(dt_k27_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k27_cat_4(A,B,C),A,B,k20_cat_4(A,B,C)) ) )).
fof(dt_k27_coh_sp,axiom,( ! [A] : ( v1_funct_1(k27_coh_sp(A)) & m1_subset_1(k27_coh_sp(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_coh_sp(A),k20_coh_sp(A)),k20_coh_sp(A)))) ) )).
fof(dt_k27_descip_1,axiom,( v1_funct_1(k27_descip_1) & v1_funct_2(k27_descip_1,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & m1_subset_1(k27_descip_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)))) )).
fof(dt_k27_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k35_fomodel1(A)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(k27_fomodel3(A,B,C,D),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k27_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k27_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k27_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k27_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k27_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => m3_cat_2(k27_grcat_1(A),k25_grcat_1(A)) ) )).
fof(dt_k27_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,k9_setfam_1(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(k27_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k27_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k27_modelc_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k27_modelc_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k27_modelc_2(A,B)) & v1_funct_2(k27_modelc_2(A,B),k4_ordinal1,A) & m1_subset_1(k27_modelc_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k27_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => m1_subset_1(k27_modelc_3(A,B),k1_zfmisc_1(k9_modelc_2)) ) )).
fof(dt_k27_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v18_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(E,k4_finseq_1(C)) ) => m1_msafree4(k27_msafree5(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k25_msafree5(A,C,E))) ) )).
fof(dt_k27_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => m2_finseq_1(k27_polyform(A),k4_numbers) ) )).
fof(dt_k27_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_qc_lang1(A)) ) => ( ~ v1_xboole_0(k27_qc_lang1(A,B)) & m1_subset_1(k27_qc_lang1(A,B),k1_zfmisc_1(k1_qc_lang1(A))) ) ) )).
fof(dt_k27_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => v1_xreal_0(k27_quaterni(A)) ) )).
fof(dt_k27_sin_cos,axiom,( v1_funct_1(k27_sin_cos) & m1_subset_1(k27_sin_cos,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k27_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k27_substut1(A,B),k16_substut1(A)) ) )).
fof(dt_k27_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_xboole_0(B,C))) ) => m1_subset_1(k27_turing_1(A,B,C,D),B) ) )).
fof(dt_k27_twoscomp,axiom,( ! [A] : ! [B] : m1_subset_1(k27_twoscomp(A,B),k3_msafree2(k25_twoscomp(A,B))) )).
fof(dt_k27_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_zf_lang(k27_zf_lang(A)) & m2_finseq_1(k27_zf_lang(A),k4_ordinal1) ) ) )).
fof(dt_k27_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k26_zmodul02(A)) ) => m1_zmodul02(k27_zmodul02(A,B),A) ) )).
fof(dt_k28_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ( v1_relat_1(k28_abcmiz_1(A)) & v4_relat_1(k28_abcmiz_1(A),u1_struct_0(A)) & v1_funct_1(k28_abcmiz_1(A)) & v1_partfun1(k28_abcmiz_1(A),u1_struct_0(A)) ) ) )).
fof(dt_k28_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) => m1_msafree4(k28_aofa_a00(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) )).
fof(dt_k28_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k28_cat_4(A,B,C),A,C,k20_cat_4(A,B,C)) ) )).
fof(dt_k28_coh_sp,axiom,( ! [A] : ( ~ v2_struct_0(k28_coh_sp(A)) & ~ v11_struct_0(k28_coh_sp(A)) & v1_cat_1(k28_coh_sp(A)) & l1_cat_1(k28_coh_sp(A)) ) )).
fof(dt_k28_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k28_fomodel1(A)) & v1_funct_2(k28_fomodel1(A),k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A)))) & m1_subset_1(k28_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A)))))) ) ) )).
fof(dt_k28_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v7_ordinal1(D) & v1_relat_1(E) & v1_funct_1(E) & v1_pre_poly(E) & v4_fomodel2(F,A) & m1_subset_1(F,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_relat_1(k28_fomodel3(A,B,C,D,E,F)) & v1_funct_1(k28_fomodel3(A,B,C,D,E,F)) & v1_finseq_1(k28_fomodel3(A,B,C,D,E,F)) ) ) )).
fof(dt_k28_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k28_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k28_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k28_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k28_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => m1_subset_1(k28_grcat_1(A),k1_zfmisc_1(u1_struct_0(k27_grcat_1(A)))) ) )).
fof(dt_k28_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k28_modelc_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k28_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(C) ) => m1_subset_1(k28_modelc_2(A,B,C),k25_modelc_2(A)) ) )).
fof(dt_k28_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => m1_subset_1(k28_modelc_3(A,B),k1_zfmisc_1(k9_modelc_2)) ) )).
fof(dt_k28_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(B)) & v19_msafree5(E,A,B,C,D) & m1_finseq_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(F,k4_finseq_1(C)) ) => ( v8_msafree5(k28_msafree5(A,B,C,D,E,F),A,B,k1_msafree3(A,B),k25_msafree5(A,C,F),k26_msafree5(A,B,C,D,F)) & m1_subset_1(k28_msafree5(A,B,C,D,E,F),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) ) )).
fof(dt_k28_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_qc_lang1(A)) ) => m1_subset_1(k28_qc_lang1(A,B),k1_qc_lang1(A)) ) )).
fof(dt_k28_sin_cos,axiom,( v1_xreal_0(k28_sin_cos) )).
fof(dt_k28_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k28_substut1(A,B),k16_substut1(A)) ) )).
fof(dt_k28_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_xboole_0(B,C))) ) => m1_subset_1(k28_turing_1(A,B,C,D),C) ) )).
fof(dt_k28_twoscomp,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k28_twoscomp(A,B)) & ~ v11_struct_0(k28_twoscomp(A,B)) & v1_msualg_1(k28_twoscomp(A,B)) & v1_circcomb(k28_twoscomp(A,B)) & v2_circcomb(k28_twoscomp(A,B)) & v3_circcomb(k28_twoscomp(A,B)) & l1_msualg_1(k28_twoscomp(A,B)) ) )).
fof(dt_k28_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) ) => m1_subset_1(k28_zmodul02(A,B),k26_zmodul02(A)) ) )).
fof(dt_k29_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v2_abcmiz_1(B,A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k29_abcmiz_1(A,B),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) )).
fof(dt_k29_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) => m1_msafree4(k29_aofa_a00(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) )).
fof(dt_k29_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & v1_int_1(F) ) => m3_aofa_i00(k29_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k29_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_cat_1(E,A,B,D) & m1_cat_1(F,A,C,D) ) => m1_cat_1(k29_cat_4(A,B,C,D,E,F),A,k20_cat_4(A,B,C),D) ) )).
fof(dt_k29_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ~ v1_xboole_0(k29_fomodel1(A)) & m1_subset_1(k29_fomodel1(A),k1_zfmisc_1(k3_finseq_2(k15_fomodel1(A)))) ) ) )).
fof(dt_k29_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v7_ordinal1(k29_fomodel2(A,B)) ) )).
fof(dt_k29_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v7_ordinal1(D) & m1_subset_1(E,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) & v4_fomodel2(F,A) & m1_subset_1(F,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v4_fomodel2(k29_fomodel3(A,B,C,D,E,F),A) & m2_subset_1(k29_fomodel3(A,B,C,D,E,F),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) )).
fof(dt_k29_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k29_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k29_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k29_gfacirc1(A,B,C)) & ~ v11_struct_0(k29_gfacirc1(A,B,C)) & v1_msualg_1(k29_gfacirc1(A,B,C)) & v1_circcomb(k29_gfacirc1(A,B,C)) & v2_circcomb(k29_gfacirc1(A,B,C)) & v3_circcomb(k29_gfacirc1(A,B,C)) & l1_msualg_1(k29_gfacirc1(A,B,C)) ) )).
fof(dt_k29_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k29_glib_000(A,B,C),k6_glib_000(A)) ) )).
fof(dt_k29_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => m3_cat_2(k29_grcat_1(A),k27_grcat_1(A)) ) )).
fof(dt_k29_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(k29_mmlquery(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k29_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => ( v1_funct_1(k29_modelc_1(A,B,C)) & v1_funct_2(k29_modelc_1(A,B,C),A,A) & m1_subset_1(k29_modelc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k29_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k25_modelc_2(A)) & v7_ordinal1(C) ) => m1_subset_1(k29_modelc_2(A,B,C),k25_modelc_2(A)) ) )).
fof(dt_k29_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_funct_1(k29_osafree(A,B)) & v1_funct_2(k29_osafree(A,B),k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B))) & m1_subset_1(k29_osafree(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B))))) ) ) )).
fof(dt_k29_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k29_substut1(A,B),k16_substut1(A)) ) )).
fof(dt_k29_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)))) ) => m1_subset_1(k29_turing_1(A,B,C),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) ) )).
fof(dt_k29_twoscomp,axiom,( ! [A] : ! [B] : ( v3_msualg_1(k29_twoscomp(A,B),k28_twoscomp(A,B)) & v4_msafree2(k29_twoscomp(A,B),k28_twoscomp(A,B)) & v4_circcomb(k29_twoscomp(A,B),k28_twoscomp(A,B)) & v6_circcomb(k29_twoscomp(A,B),k28_twoscomp(A,B)) & l3_msualg_1(k29_twoscomp(A,B),k28_twoscomp(A,B)) ) )).
fof(dt_k29_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k29_zmodul02(A)) & v1_funct_2(k29_zmodul02(A),k2_zfmisc_1(k26_zmodul02(A),k26_zmodul02(A)),k26_zmodul02(A)) & m1_subset_1(k29_zmodul02(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k26_zmodul02(A),k26_zmodul02(A)),k26_zmodul02(A)))) ) ) )).
fof(dt_k2_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_abcmiz_0(A,B),k1_zfmisc_1(u1_abcmiz_0(A))) ) )).
fof(dt_k2_abian,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_partfun1(k2_abian(A,B),A) & v3_relat_2(k2_abian(A,B)) & v8_relat_2(k2_abian(A,B)) & m1_subset_1(k2_abian(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k2_absred_0,axiom,( v1_absred_0(k2_absred_0) & l1_absred_0(k2_absred_0) )).
fof(dt_k2_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k4_finseq_2(A,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k4_finseq_2(A,D)))) & m1_subset_1(F,B) & m1_subset_1(G,C) ) => m2_finseq_2(k2_aescip_1(A,B,C,D,E,F,G),D,k4_finseq_2(A,D)) ) )).
fof(dt_k2_aff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_aff_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_aff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_aff_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => m1_subset_1(k2_afinsq_1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k2_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k2_afinsq_2(A,B)) & v1_funct_1(k2_afinsq_2(A,B)) & v5_ordinal1(k2_afinsq_2(A,B)) & v1_finset_1(k2_afinsq_2(A,B)) ) ) )).
fof(dt_k2_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => m1_subset_1(k2_afproj(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_afvect0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k2_afvect0(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k2_alg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_alg_1(B,A) & m1_subset_1(C,k1_unialg_2(A)) ) => ( ~ v1_xboole_0(k2_alg_1(A,B,C)) & v1_funct_1(k2_alg_1(A,B,C)) & v2_margrel1(k2_alg_1(A,B,C)) & v3_margrel1(k2_alg_1(A,B,C),k8_eqrel_1(u1_struct_0(A),B)) & m1_subset_1(k2_alg_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)))) ) ) )).
fof(dt_k2_algseq_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k2_algseq_1(A,B)) & v1_funct_2(k2_algseq_1(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k2_algseq_1(A,B),A) & m1_subset_1(k2_algseq_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k2_algspec1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ~ v2_struct_0(k2_algspec1(A,B,C)) & ~ v11_struct_0(k2_algspec1(A,B,C)) & v1_msualg_1(k2_algspec1(A,B,C)) & l1_msualg_1(k2_algspec1(A,B,C)) ) ) )).
fof(dt_k2_algstr_1,axiom,( v29_algstr_0(k2_algstr_1) & l5_algstr_0(k2_algstr_1) )).
fof(dt_k2_algstr_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v3_algstr_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_algstr_2(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_algstr_3,axiom,( v1_funct_1(k2_algstr_3) & v1_funct_2(k2_algstr_3,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(k2_algstr_3,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k1_numbers))) )).
fof(dt_k2_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k8_afinsq_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),A))) & v1_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => m1_subset_1(k2_algstr_4(A,B,C),A) ) )).
fof(dt_k2_altcat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ( v1_relat_1(k2_altcat_1(A,B)) & v4_relat_1(k2_altcat_1(A,B),k3_zfmisc_1(A,A,A)) & v1_funct_1(k2_altcat_1(A,B)) & v1_partfun1(k2_altcat_1(A,B),k3_zfmisc_1(A,A,A)) ) ) )).
fof(dt_k2_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ( v1_relat_1(k2_altcat_2(A)) & v4_relat_1(k2_altcat_2(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(k2_altcat_2(A)) & v1_partfun1(k2_altcat_2(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) ) )).
fof(dt_k2_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k2_altcat_4(A)) & v2_altcat_1(k2_altcat_4(A)) & v6_altcat_1(k2_altcat_4(A)) & m1_altcat_2(k2_altcat_4(A),A) ) ) )).
fof(dt_k2_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => m1_subset_1(k2_altcat_5(A,B,C),u1_struct_0(k7_altcat_1(B))) ) )).
fof(dt_k2_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => m1_subset_1(k2_altcat_6(A,B,C),u1_struct_0(k7_altcat_1(B))) ) )).
fof(dt_k2_ami_2,axiom,( m1_subset_1(k2_ami_2,k1_zfmisc_1(k1_ami_2)) )).
fof(dt_k2_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => m1_subset_1(k2_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k2_ami_4,axiom,( v1_funct_1(k2_ami_4) & m1_subset_1(k2_ami_4,k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(k5_card_1(2),k1_ami_3),k11_memstr_0(k5_card_1(2),k1_ami_3)))) )).
fof(dt_k2_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) ) => v7_ordinal1(k2_ami_wstd(A,B,C)) ) )).
fof(dt_k2_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) ) => m1_subset_1(k2_amistd_1(A,B,C),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k2_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) ) => m1_subset_1(k2_amistd_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k2_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v2_analmetr(k2_analmetr(A,B,C)) & l2_analmetr(k2_analmetr(A,B,C)) ) ) )).
fof(dt_k2_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_analoaf(k2_analoaf(A)) & l1_analoaf(k2_analoaf(A)) ) ) )).
fof(dt_k2_analort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k2_analort(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k2_anproj_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_anproj_1(A,B),k1_zfmisc_1(k8_struct_0(A))) ) )).
fof(dt_k2_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k2_aofa_000(A,B,C)) & v1_funct_1(k2_aofa_000(A,B,C)) ) ) )).
fof(dt_k2_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,A) => ( v1_relat_1(k2_aofa_a00(A,B,C)) & v4_relat_1(k2_aofa_a00(A,B,C),A) & v1_funct_1(k2_aofa_a00(A,B,C)) & v1_partfun1(k2_aofa_a00(A,B,C),A) ) ) )).
fof(dt_k2_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => m1_subset_1(k2_aofa_a01(A,B),k1_funct_1(u3_msualg_1(A,B),u8_aofa_a00(A))) ) )).
fof(dt_k2_aofa_i00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k2_aofa_i00(A,B)) & v5_relat_1(k2_aofa_i00(A,B),k4_numbers) & v1_funct_1(k2_aofa_i00(A,B)) ) ) )).
fof(dt_k2_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k2_aofa_l00(A,B,C)) & v4_relat_1(k2_aofa_l00(A,B,C),B) & v1_funct_1(k2_aofa_l00(A,B,C)) & v1_partfun1(k2_aofa_l00(A,B,C),B) ) ) )).
fof(dt_k2_armstrng,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(k2_armstrng(A),k1_zfmisc_1(A)) ) )).
fof(dt_k2_arytm_0,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k2_arytm_0(A,B),k1_numbers) ) )).
fof(dt_k2_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => m1_subset_1(k2_arytm_3(A,B),k4_ordinal1) ) )).
fof(dt_k2_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ( v1_funct_1(k2_asympt_0(A,B)) & v1_funct_2(k2_asympt_0(A,B),k4_ordinal1,k1_numbers) & v2_asympt_0(k2_asympt_0(A,B)) & m1_subset_1(k2_asympt_0(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_asympt_1,axiom,( v1_funct_1(k2_asympt_1) & v1_funct_2(k2_asympt_1,k4_ordinal1,k1_numbers) & m1_subset_1(k2_asympt_1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k2_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_funct_1(k2_autalg_1(A)) & v1_funct_2(k2_autalg_1(A),k2_zfmisc_1(k1_autalg_1(A),k1_autalg_1(A)),k1_autalg_1(A)) & m1_subset_1(k2_autalg_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autalg_1(A),k1_autalg_1(A)),k1_autalg_1(A)))) ) ) )).
fof(dt_k2_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k2_autgroup(A)) & v1_funct_2(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & m1_subset_1(k2_autgroup(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)))) ) ) )).
fof(dt_k2_ballot_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(D) ) => m1_subset_1(k2_ballot_1(A,B,C,D),k1_zfmisc_1(k1_ballot_1(A,B,C,D))) ) )).
fof(dt_k2_bcialg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_bcialg_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v7_ordinal1(k2_bcialg_2(A,B)) & ~ v8_ordinal1(k2_bcialg_2(A,B)) ) ) )).
fof(dt_k2_bcialg_4,axiom,( l1_bcialg_4(k2_bcialg_4) )).
fof(dt_k2_bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => v1_xxreal_0(k2_bcialg_5(A,B,C,D)) ) )).
fof(dt_k2_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_int_1(C) ) => m1_subset_1(k2_bcialg_6(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k2_bhsp_1(A,B,C)) ) )).
fof(dt_k2_bhsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_bhsp_2(A,B)) & v1_funct_2(k2_bhsp_2(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k2_bhsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_bhsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k2_bhsp_4(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_bhsp_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_bhsp_6(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k2_bilinear(A,B,C,D,E)) & v1_funct_2(k2_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(k2_bilinear(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k2_binari_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) ) => ( v3_card_1(k2_binari_2(A,B),A) & m2_finseq_1(k2_binari_2(A,B),k5_margrel1) ) ) )).
fof(dt_k2_binari_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_1(B) ) => ( v3_card_1(k2_binari_4(A,B),A) & m2_finseq_1(k2_binari_4(A,B),k5_margrel1) ) ) )).
fof(dt_k2_binarith,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => m1_subset_1(k2_binarith(A,B),k5_margrel1) ) )).
fof(dt_k2_binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m1_subset_1(k2_binom(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_subset_1(E,A) & m1_subset_1(F,B) ) => m1_subset_1(k2_binop_1(A,B,C,D,E,F),C) ) )).
fof(dt_k2_bintree2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => m2_finseq_1(k2_bintree2(A,B),k2_trees_2(A,B)) ) )).
fof(dt_k2_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_boolealg(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_boolmark,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k1_boolmark(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m2_funct_2(k2_boolmark(A,B,C),u1_struct_0(A),k5_margrel1,k1_boolmark(A)) ) )).
fof(dt_k2_bor_cant,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k2_bor_cant(A)) & v1_funct_2(k2_bor_cant(A),k4_ordinal1,k1_numbers) & m1_subset_1(k2_bor_cant(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_borsuk_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & l1_pre_topc(k2_borsuk_1(A,B)) ) ) )).
fof(dt_k2_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) ) => m1_borsuk_2(k2_borsuk_2(A,B,C,D),A,C,B) ) )).
fof(dt_k2_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k2_borsuk_5(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k2_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & v5_pre_topc(E,k5_topmetr,k5_topmetr) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) ) => m1_borsuk_2(k2_borsuk_6(A,B,C,D,E),A,B,C) ) )).
fof(dt_k2_borsuk_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_topmetr)) & v1_xreal_0(B) ) => m1_subset_1(k2_borsuk_7(A,B),u1_struct_0(k3_topmetr)) ) )).
fof(dt_k2_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_pre_topc(k2_brouwer(A,B,C),k15_euclid(A)) ) )).
fof(dt_k2_bspace,axiom,( ~ v2_struct_0(k2_bspace) & ~ v6_struct_0(k2_bspace) & v13_algstr_0(k2_bspace) & v33_algstr_0(k2_bspace) & v4_vectsp_1(k2_bspace) & v5_vectsp_1(k2_bspace) & v2_rlvect_1(k2_bspace) & v3_rlvect_1(k2_bspace) & v4_rlvect_1(k2_bspace) & v3_group_1(k2_bspace) & v5_group_1(k2_bspace) & l6_algstr_0(k2_bspace) )).
fof(dt_k2_bvfunc25,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k2_bvfunc25(A,B)) & v1_funct_1(k2_bvfunc25(A,B)) ) ) )).
fof(dt_k2_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k2_bvfunc_1(A,B,C)) & v1_funct_2(k2_bvfunc_1(A,B,C),A,k5_margrel1) & m1_subset_1(k2_bvfunc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k2_bvfunc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) ) => m1_eqrel_1(k2_bvfunc_2(A,B),A) ) )).
fof(dt_k2_c0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k2_c0sp1(A,B)) & v1_funct_2(k2_c0sp1(A,B),k2_zfmisc_1(B,B),B) & m1_subset_1(k2_c0sp1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) ) )).
fof(dt_k2_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k2_c0sp2(A),k1_zfmisc_1(u1_struct_0(k12_funcsdom(u1_struct_0(A))))) ) )).
fof(dt_k2_calcul_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k3_cqc_lang(A)) ) => m2_subset_1(k2_calcul_1(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k2_calcul_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k2_calcul_2(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k2_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k2_cantor_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k2_card_1,axiom,( ! [A] : v1_card_1(k2_card_1(A)) )).
fof(dt_k2_card_2,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v1_card_1(B) ) => v1_card_1(k2_card_2(A,B)) ) )).
fof(dt_k2_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k2_card_3(A)) & v1_funct_1(k2_card_3(A)) ) ) )).
fof(dt_k2_card_5,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v1_card_1(B) ) => ( v1_relat_1(k2_card_5(A,B)) & v1_funct_1(k2_card_5(A,B)) & v1_card_3(k2_card_5(A,B)) ) ) )).
fof(dt_k2_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( ~ v1_xboole_0(k2_card_fil(A,B,C)) & m1_subset_1(k2_card_fil(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k2_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => m1_subset_1(k2_card_fin(A,B,C),k1_zfmisc_1(k3_tarski(k10_xtuple_0(A)))) ) )).
fof(dt_k2_card_lar,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(k2_card_lar(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k2_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_cat_1(A,B,C),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k2_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( v1_funct_1(k2_cat_3(A,B,C)) & v1_funct_2(k2_cat_3(A,B,C),B,u1_struct_0(A)) & m1_subset_1(k2_cat_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) ) )).
fof(dt_k2_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_cat_4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k2_cat_5(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_cat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_cat_6(A) & m1_subset_1(B,k1_cat_6(A)) & m1_subset_1(C,k1_cat_6(A)) ) => m1_subset_1(k2_cat_6(A,B,C),k1_cat_6(A)) ) )).
fof(dt_k2_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) & m1_subset_1(C,k6_cat_6(A)) ) => m1_subset_1(k2_cat_7(A,B,C),k1_zfmisc_1(k1_cat_6(A))) ) )).
fof(dt_k2_catalan2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k2_catalan2(A,B),k1_zfmisc_1(k8_afinsq_1(k7_domain_1(k4_ordinal1,k5_numbers,1)))) ) )).
fof(dt_k2_catalg_1,axiom,( ! [A] : ( v1_msualg_1(k2_catalg_1(A)) & l1_msualg_1(k2_catalg_1(A)) ) )).
fof(dt_k2_cayldick,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_cayldick(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_cayley,axiom,( ! [A] : ( v15_algstr_0(k2_cayley(A)) & v1_monoid_0(k2_cayley(A)) & l3_algstr_0(k2_cayley(A)) ) )).
fof(dt_k2_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k2_cc0sp1(A)) & m1_subset_1(k2_cc0sp1(A),k1_zfmisc_1(u1_struct_0(k8_cfuncdom(A)))) ) ) )).
fof(dt_k2_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k2_cc0sp2(A),k1_zfmisc_1(u1_struct_0(k8_cfuncdom(u1_struct_0(A))))) ) )).
fof(dt_k2_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_xcmplx_0(B) ) => m1_subset_1(k2_cfdiff_1(A,B),k2_numbers) ) )).
fof(dt_k2_cfuncdom,axiom,( ! [A] : ( v1_funct_1(k2_cfuncdom(A)) & v1_funct_2(k2_cfuncdom(A),k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & m1_subset_1(k2_cfuncdom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)))) ) )).
fof(dt_k2_cfunct_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_funct_1(k2_cfunct_1(A,B)) & m1_subset_1(k2_cfunct_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k2_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & m1_subset_1(C,k2_finseq_1(A)) ) => ( ~ v1_zfmisc_1(k2_chain_1(A,B,C)) & v1_finset_1(k2_chain_1(A,B,C)) & m1_subset_1(k2_chain_1(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k2_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k2_chord(A,B),k1_zfmisc_1(k6_glib_000(A))) ) )).
fof(dt_k2_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) ) => m1_subset_1(k2_circcmb3(A,B,C),k4_ordinal1) ) )).
fof(dt_k2_circcomb,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(A,B)) & v1_msualg_1(k2_circcomb(A,B)) & l1_msualg_1(k2_circcomb(A,B)) ) ) )).
fof(dt_k2_circled1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_rltopsp1(k2_circled1(A,B),A) & m1_subset_1(k2_circled1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k2_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) & v7_ordinal1(D) ) => m1_msafree2(k2_circuit1(A,B,C,D),A,B) ) )).
fof(dt_k2_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_msafree2(C,A,B) ) => m2_pboole(k2_circuit2(A,B,C),u1_struct_0(A),k13_msafree(A,u3_msualg_1(A,B)),u3_msualg_1(A,k5_msafree2(A,B))) ) )).
fof(dt_k2_ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => m2_c0sp1(k2_ckspace1(A,B,C),k12_funcsdom(C)) ) )).
fof(dt_k2_classes2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) ) => m1_subset_1(k2_classes2(A,B),A) ) )).
fof(dt_k2_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( v1_funct_1(k2_clopban1(A,B)) & v1_funct_2(k2_clopban1(A,B),k2_zfmisc_1(k2_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))) & m1_subset_1(k2_clopban1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))))) ) ) )).
fof(dt_k2_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & m1_subset_1(B,k8_clopban1(A,A)) & m1_subset_1(C,k8_clopban1(A,A)) ) => m2_subset_1(k2_clopban2(A,B,C),u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) ) )).
fof(dt_k2_clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k2_clopban3(A,B)) & v1_funct_2(k2_clopban3(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k2_clopban3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k2_clopban4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & v2_cfuncdom(B) & v5_clopban2(B) & l1_clopban2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k2_clopban4(A,B,C,D)) & v1_funct_2(k2_clopban4(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & m1_subset_1(k2_clopban4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k2_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) & m1_pboole(D,A,k5_mssubfam(A,B)) ) => m1_pboole(k2_closure1(A,B,C,D),A,k5_mssubfam(A,B)) ) )).
fof(dt_k2_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => m1_subset_1(k2_closure2(A,B),k1_zfmisc_1(k1_closure2(A,B))) ) )).
fof(dt_k2_closure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => m3_pboole(k2_closure3(A,B,C),A,B) ) )).
fof(dt_k2_clvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_clvect_2(A,B)) & v1_funct_2(k2_clvect_2(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k2_clvect_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_clvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(k2_clvect_3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ~ v1_xboole_0(k2_coh_sp(A,B)) & v1_classes1(k2_coh_sp(A,B)) & v1_coh_sp(k2_coh_sp(A,B)) ) ) )).
fof(dt_k2_cohsp_1,axiom,( ! [A] : m1_subset_1(k2_cohsp_1(A),k1_zfmisc_1(A)) )).
fof(dt_k2_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & l1_combgras(C,A,B) & m1_subset_1(D,u1_incsp_1(A)) ) => m1_subset_1(k2_combgras(A,B,C,D),u1_incsp_1(B)) ) )).
fof(dt_k2_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,C) & m2_cat_1(E,B,C) ) => ( ~ v1_xboole_0(k2_commacat(A,B,C,D,E)) & m1_subset_1(k2_commacat(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)),k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)),k1_commacat(A,B,C,D,E),k1_commacat(A,B,C,D,E)),k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B))))) ) ) )).
fof(dt_k2_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k2_compl_sp(A,B,C)) & v1_funct_2(k2_compl_sp(A,B,C),k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B)))),k1_numbers) & m1_subset_1(k2_compl_sp(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B))),k2_xboole_0(k2_zfmisc_1(C,k6_subset_1(u1_struct_0(A),k1_tarski(B))),k1_tarski(k4_tarski(C,B)))),k1_numbers))) ) ) )).
fof(dt_k2_complex2,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xreal_0(B) ) => m1_subset_1(k2_complex2(A,B),k2_numbers) ) )).
fof(dt_k2_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => m1_subset_1(k2_complfld(A),u1_struct_0(k1_complfld)) ) )).
fof(dt_k2_complsp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => m2_finseq_2(k2_complsp2(A,B,C),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k2_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => m1_subset_1(k2_compos_1(A),u1_compos_1(A)) ) )).
fof(dt_k2_compos_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_amistd_4(A) & l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) & v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => ( ~ v1_xboole_0(k2_compos_2(A,B,C)) & v1_relat_1(k2_compos_2(A,B,C)) & v4_relat_1(k2_compos_2(A,B,C),k4_ordinal1) & v5_relat_1(k2_compos_2(A,B,C),u1_compos_1(A)) & v1_funct_1(k2_compos_2(A,B,C)) & v1_finset_1(k2_compos_2(A,B,C)) & v1_afinsq_1(k2_compos_2(A,B,C)) & v3_compos_1(k2_compos_2(A,B,C),A) & v4_compos_1(k2_compos_2(A,B,C),A) ) ) )).
fof(dt_k2_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(k2_comput_1(A)) & m1_rfunct_3(k2_comput_1(A),k3_finseq_2(A),A) ) )).
fof(dt_k2_comseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_funct_1(k2_comseq_2(A,B)) & v1_funct_2(k2_comseq_2(A,B),A,k2_numbers) & m1_subset_1(k2_comseq_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k2_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) ) => m1_subset_1(k2_comseq_3(A,B),k2_numbers) ) )).
fof(dt_k2_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k2_conlat_1(A)) & v1_funct_2(k2_conlat_1(A),k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k2_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k2_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => ( ~ v4_conlat_1(k2_conlat_2(A,B),A) & v6_conlat_1(k2_conlat_2(A,B),A) & l2_conlat_1(k2_conlat_2(A,B),A) ) ) )).
fof(dt_k2_connsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_connsp_3(A,B,C),u1_struct_0(k1_pre_topc(A,B))) ) )).
fof(dt_k2_convex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_convex1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => m1_convex4(k2_convex4(A),A) ) )).
fof(dt_k2_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ( v1_funct_1(k2_convfun1(A,B)) & v1_funct_2(k2_convfun1(A,B),k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(k2_convfun1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) ) )).
fof(dt_k2_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k5_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => ( v1_funct_1(k2_cqc_lang(A,B,C)) & m1_subset_1(k2_cqc_lang(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A),k2_qc_lang1(A)))) ) ) )).
fof(dt_k2_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k3_cqc_lang(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k3_cqc_lang(A)))) ) => m2_funct_2(k2_cqc_sim1(A,B,C),B,k3_cqc_lang(A),k9_funct_2(B,k3_cqc_lang(A))) ) )).
fof(dt_k2_csspace,axiom,( ! [A] : ( v1_funct_1(k2_csspace(A)) & v1_funct_2(k2_csspace(A),k4_ordinal1,k2_numbers) & m1_subset_1(k2_csspace(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) )).
fof(dt_k2_csspace3,axiom,( v1_funct_1(k2_csspace3) & v1_funct_2(k2_csspace3,k1_csspace3,k1_numbers) & m1_subset_1(k2_csspace3,k1_zfmisc_1(k2_zfmisc_1(k1_csspace3,k1_numbers))) )).
fof(dt_k2_csspace4,axiom,( v1_funct_1(k2_csspace4) & v1_funct_2(k2_csspace4,k1_csspace4,k1_numbers) & m1_subset_1(k2_csspace4,k1_zfmisc_1(k2_zfmisc_1(k1_csspace4,k1_numbers))) )).
fof(dt_k2_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_funct_1(k2_dblseq_1(A)) & v1_funct_2(k2_dblseq_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k2_dblseq_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_funct_1(k2_dblseq_2(A)) & v1_funct_2(k2_dblseq_2(A),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(k2_dblseq_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) ) )).
fof(dt_k2_decomp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_decomp_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_finseq_1(C,A) ) => m2_finseq_1(k2_descip_1(A,B,C),A) ) )).
fof(dt_k2_dickson,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(k2_dickson(A),k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),k1_dickson(A)),k8_eqrel_1(u1_struct_0(A),k1_dickson(A))))) ) )).
fof(dt_k2_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k2_diff_1(A,B)) & v1_funct_2(k2_diff_1(A,B),k1_numbers,k1_numbers) & m1_subset_1(k2_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k2_diff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) & v1_xreal_0(F) & v1_xreal_0(G) ) => v1_xreal_0(k2_diff_2(A,B,C,D,E,F,G)) ) )).
fof(dt_k2_dilworth,axiom,( ! [A] : ( ( v4_dilworth(A) & l1_orders_2(A) ) => v7_ordinal1(k2_dilworth(A)) ) )).
fof(dt_k2_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( v1_analoaf(k2_diraf(A)) & l1_analoaf(k2_diraf(A)) ) ) )).
fof(dt_k2_dist_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) ) => v7_ordinal1(k2_dist_1(A,B,C)) ) )).
fof(dt_k2_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) ) => m1_dist_1(k2_dist_2(A,B),A) ) )).
fof(dt_k2_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) ) => m1_subset_1(k2_domain_1(A,B,C),A) ) )).
fof(dt_k2_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( m1_finseq_1(C,k2_zfmisc_1(A,B)) => m2_finseq_1(k2_dtconstr(A,B,C),A) ) )).
fof(dt_k2_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k2_dualsp01(A)) & v13_algstr_0(k2_dualsp01(A)) & v2_rlvect_1(k2_dualsp01(A)) & v3_rlvect_1(k2_dualsp01(A)) & v4_rlvect_1(k2_dualsp01(A)) & v8_vectsp_1(k2_dualsp01(A),k2_vectsp_1) & v9_vectsp_1(k2_dualsp01(A),k2_vectsp_1) & v10_vectsp_1(k2_dualsp01(A),k2_vectsp_1) & v11_vectsp_1(k2_dualsp01(A),k2_vectsp_1) & l1_vectsp_1(k2_dualsp01(A),k2_vectsp_1) ) ) )).
fof(dt_k2_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k2_dualsp02(A)) & v1_funct_2(k2_dualsp02(A),u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) & m1_subset_1(k2_dualsp02(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A)))))) ) ) )).
fof(dt_k2_dynkin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_funct_1(k2_dynkin(A,B,C)) & v1_funct_2(k2_dynkin(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k2_dynkin(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k2_e_siec,axiom,( ! [A] : ( v1_e_siec(k2_e_siec(A)) & v2_e_siec(k2_e_siec(A)) & v3_e_siec(k2_e_siec(A)) & l1_e_siec(k2_e_siec(A)) ) )).
fof(dt_k2_ec_pf_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) ) => v1_int_1(k2_ec_pf_1(A,B)) ) )).
fof(dt_k2_ec_pf_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) & m1_subset_1(B,k1_ec_pf_2(A)) ) => m1_subset_1(k2_ec_pf_2(A,B),u1_struct_0(k9_int_3(A))) ) )).
fof(dt_k2_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_funct_1(k2_endalg(A)) & v1_funct_2(k2_endalg(A),k2_zfmisc_1(k1_endalg(A),k1_endalg(A)),k1_endalg(A)) & m1_subset_1(k2_endalg(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_endalg(A),k1_endalg(A)),k1_endalg(A)))) ) ) )).
fof(dt_k2_entropy1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) ) => m2_finseq_1(k2_entropy1(A,B),A) ) )).
fof(dt_k2_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k2_eqrel_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k2_euclid,axiom,( v1_funct_1(k2_euclid) & v1_funct_2(k2_euclid,k1_numbers,k1_numbers) & m1_subset_1(k2_euclid,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k2_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(k2_euclid_3(A),k2_numbers) ) )).
fof(dt_k2_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => m1_subset_1(k2_euclid_4(A,B,C),k1_zfmisc_1(k1_euclid(A))) ) )).
fof(dt_k2_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => v1_xreal_0(k2_euclid_5(A)) ) )).
fof(dt_k2_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => v1_xreal_0(k2_euclid_6(A,B,C)) ) )).
fof(dt_k2_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => m2_finseq_1(k2_euclid_7(A,B,C),A) ) )).
fof(dt_k2_euclid_8,axiom,( m2_finseq_2(k2_euclid_8,k1_numbers,k1_euclid(3)) )).
fof(dt_k2_euclid_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) ) => m1_subset_1(k2_euclid_9(A,B),u1_struct_0(k3_pcomps_1(k14_euclid(A)))) ) )).
fof(dt_k2_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclidlp(A)) ) => m1_subset_1(k2_euclidlp(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k2_euler_2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => m2_finseq_1(k2_euler_2(A,B),k4_ordinal1) ) )).
fof(dt_k2_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v3_ordinal1(k2_exchsort(A)) ) )).
fof(dt_k2_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & v2_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( v1_relat_1(k2_extpro_1(A,B,C,D)) & v4_relat_1(k2_extpro_1(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k2_extpro_1(A,B,C,D)) & v5_funct_1(k2_extpro_1(A,B,C,D),k2_memstr_0(A,B)) & v1_partfun1(k2_extpro_1(A,B,C,D),u1_struct_0(B)) ) ) )).
fof(dt_k2_extreal1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => m1_subset_1(k2_extreal1(A,B),k6_numbers) ) )).
fof(dt_k2_facirc_1,axiom,( v1_funct_1(k2_facirc_1) & v1_funct_2(k2_facirc_1,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k2_facirc_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k2_facirc_2,axiom,( ! [A] : ( v3_msualg_1(k2_facirc_2(A),k1_facirc_2(A)) & v6_circcomb(k2_facirc_2(A),k1_facirc_2(A)) & l3_msualg_1(k2_facirc_2(A),k1_facirc_2(A)) ) )).
fof(dt_k2_fdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k2_fdiff_1(A,B)) & m1_subset_1(k2_fdiff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k2_fdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k2_fdiff_3(A,B)) ) )).
fof(dt_k2_fdiff_9,axiom,( v1_funct_1(k2_fdiff_9) & m1_subset_1(k2_fdiff_9,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k2_ff_siec,axiom,( ! [A] : ( v1_petri(k2_ff_siec(A)) & v1_net_1(k2_ff_siec(A)) & l1_petri(k2_ff_siec(A)) ) )).
fof(dt_k2_fib_fusc,axiom,( ! [A] : ( v1_int_1(A) => m1_subset_1(k2_fib_fusc(A),k4_ordinal1) ) )).
fof(dt_k2_fib_num,axiom,( v1_xreal_0(k2_fib_num) )).
fof(dt_k2_fib_num2,axiom,( v1_funct_1(k2_fib_num2) & v1_funct_2(k2_fib_num2,k4_ordinal1,k4_ordinal1) & m1_subset_1(k2_fib_num2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) )).
fof(dt_k2_fib_num3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k2_fib_num3(A,B),k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) ) )).
fof(dt_k2_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k2_filter_0(A,B)) & v19_lattices(k2_filter_0(A,B),A) & v20_lattices(k2_filter_0(A,B),A) & m1_subset_1(k2_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k2_filter_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k2_filter_1(A,B,C)) & v1_funct_2(k2_filter_1(A,B,C),k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & m1_subset_1(k2_filter_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)))) ) ) )).
fof(dt_k2_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(k1_lattice2(A))) ) => m1_subset_1(k2_filter_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_finance1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k2_finance1(A,B)) & v1_funct_2(k2_finance1(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k2_finance1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) )).
fof(dt_k2_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => ( v1_funct_1(k2_finance2(A,B)) & v1_funct_2(k2_finance2(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k2_finance2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) )).
fof(dt_k2_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k2_finseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) ) ) )).
fof(dt_k2_finseq_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k2_finseq_3(A,B)) & v1_funct_1(k2_finseq_3(A,B)) & v1_finseq_1(k2_finseq_3(A,B)) ) ) )).
fof(dt_k2_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m2_finseq_1(k2_finseq_4(A,B,C),A) ) )).
fof(dt_k2_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_subset_1(C,A) ) => m2_finseq_1(k2_finseq_5(A,B,C),A) ) )).
fof(dt_k2_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k2_finseq_6(A,B,C)) & v1_funct_1(k2_finseq_6(A,B,C)) & v1_finseq_1(k2_finseq_6(A,B,C)) ) ) )).
fof(dt_k2_finseq_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => m2_finseq_1(k2_finseq_7(A,B,C,D),A) ) )).
fof(dt_k2_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => m2_finseq_1(k2_finseq_8(A,B,C,D),A) ) )).
fof(dt_k2_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_finseq_1(E,A) & m1_subset_1(F,B) ) => m2_finseq_1(k2_finseqop(A,B,C,D,E,F),C) ) )).
fof(dt_k2_finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & m1_finseq_1(C,A) ) => ( v1_funct_1(k2_finsop_1(A,B,C)) & v1_funct_2(k2_finsop_1(A,B,C),k4_ordinal1,A) & m1_subset_1(k2_finsop_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k2_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k2_finsub_1(A,B,C),A) ) )).
fof(dt_k2_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_fintopo2(A,B,C,D),k5_margrel1) ) )).
fof(dt_k2_fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k2_fintopo3(A,B)) & v1_funct_2(k2_fintopo3(A,B),k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k2_fintopo3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k2_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k2_fintopo4(A)) & l1_orders_2(k2_fintopo4(A)) ) ) )).
fof(dt_k2_fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k2_fintopo5(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B))))) ) )).
fof(dt_k2_flang_1,axiom,( ! [A] : m1_subset_1(k2_flang_1(A),k3_catalan2(A)) )).
fof(dt_k2_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => m1_subset_1(k2_flang_2(A,B),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k2_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => m1_subset_1(k2_flang_3(A,B),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k2_fomodel0,axiom,( ! [A] : ( v1_funct_1(k2_fomodel0(A)) & v1_funct_2(k2_fomodel0(A),k2_zfmisc_1(A,A),A) & m1_subset_1(k2_fomodel0(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) )).
fof(dt_k2_fomodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k2_fomodel2(A)) & v1_funct_2(k2_fomodel2(A),k4_finseq_2(2,A),k5_margrel1) & m1_subset_1(k2_fomodel2(A),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,A),k5_margrel1))) ) ) )).
fof(dt_k2_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_fomodel1(A)) ) => ( v1_funct_1(k2_fomodel3(A,B)) & v1_funct_2(k2_fomodel3(A,B),k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))) & m1_subset_1(k2_fomodel3(A,B),k1_zfmisc_1(k2_zfmisc_1(k3_fomodel0(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))))) ) ) )).
fof(dt_k2_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => m1_subset_1(k2_fomodel4(A,B,C),k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) )).
fof(dt_k2_frechet,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k2_frechet(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_frechet2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k2_frechet2(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k2_freealg(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k4_finseq_1(A),B),k3_finseq_2(k2_xboole_0(k4_finseq_1(A),B))))) ) )).
fof(dt_k2_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k2_fscirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & v4_msafree2(k2_fscirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & v4_circcomb(k2_fscirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & v6_circcomb(k2_fscirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) & l3_msualg_1(k2_fscirc_1(A,B,C),k8_facirc_1(A,B,C,k1_facirc_1)) ) )).
fof(dt_k2_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v3_msualg_1(k2_fscirc_2(A,B,C),k1_fscirc_2(A,B,C)) & v4_msafree2(k2_fscirc_2(A,B,C),k1_fscirc_2(A,B,C)) & v4_circcomb(k2_fscirc_2(A,B,C),k1_fscirc_2(A,B,C)) & v6_circcomb(k2_fscirc_2(A,B,C),k1_fscirc_2(A,B,C)) & l3_msualg_1(k2_fscirc_2(A,B,C),k1_fscirc_2(A,B,C)) ) ) )).
fof(dt_k2_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_finseq_1(D,A) ) => m2_finseq_1(k2_fsm_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k2_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v1_fsm_2(C,A) & v5_fsm_2(C,A) & l2_fsm_2(C,A,B) & m1_subset_1(D,A) ) => m1_subset_1(k2_fsm_2(A,B,C,D),B) ) )).
fof(dt_k2_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_fsm_3(C,A,B) ) => ( v1_fsm_3(k2_fsm_3(A,B,C),A,k9_flang_1(A)) & l1_fsm_3(k2_fsm_3(A,B,C),A,k9_flang_1(A)) ) ) )).
fof(dt_k2_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( v3_msualg_1(k2_ftacell1(A,B,C,D,E),k1_ftacell1(A,B,C,D,E)) & v4_msafree2(k2_ftacell1(A,B,C,D,E),k1_ftacell1(A,B,C,D,E)) & v4_circcomb(k2_ftacell1(A,B,C,D,E),k1_ftacell1(A,B,C,D,E)) & v6_circcomb(k2_ftacell1(A,B,C,D,E),k1_ftacell1(A,B,C,D,E)) & l3_msualg_1(k2_ftacell1(A,B,C,D,E),k1_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k2_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,D),k9_funct_2(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k9_funct_2(A,B)))) & m1_subset_1(F,k2_zfmisc_1(C,D)) ) => m2_funct_2(k2_funcsdom(A,B,C,D,E,F),A,B,k9_funct_2(A,B)) ) )).
fof(dt_k2_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k2_funct_1(A)) & v1_funct_1(k2_funct_1(A)) ) ) )).
fof(dt_k2_funct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k2_funct_2(A,B)) & v1_funct_2(k2_funct_2(A,B),A,A) & v3_funct_2(k2_funct_2(A,B),A,A) & m1_subset_1(k2_funct_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k2_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k2_funct_3(A,B,C)) & v1_funct_2(k2_funct_3(A,B,C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & m1_subset_1(k2_funct_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B)))) ) ) )).
fof(dt_k2_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A)) ) ) )).
fof(dt_k2_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k2_funct_5(A)) & v1_funct_1(k2_funct_5(A)) ) ) )).
fof(dt_k2_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k2_funct_6(A)) & v1_funct_1(k2_funct_6(A)) ) ) )).
fof(dt_k2_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,A) ) => m2_finseq_1(k2_funct_7(A,B,C,D),A) ) )).
fof(dt_k2_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & m2_functor0(C,A,B) & m2_functor0(D,A,B) & m1_functor2(E,A,B,C,D) & m1_subset_1(F,u1_struct_0(A)) ) => m1_subset_1(k2_functor2(A,B,C,D,E,F),k1_altcat_1(B,k3_functor0(A,B,C,F),k3_functor0(A,B,D,F))) ) )).
fof(dt_k2_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v16_functor0(D,A,B) & m2_functor0(D,A,B) & v16_functor0(E,B,C) & m2_functor0(E,B,C) ) => ( v9_functor0(k2_functor3(A,B,C,D,E),A,C) & v15_functor0(k2_functor3(A,B,C,D,E),A,C) & m2_functor0(k2_functor3(A,B,C,D,E),A,C) ) ) )).
fof(dt_k2_fuznum_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(k2_fuznum_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k2_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k2_fuzzy_1(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k2_fuzzy_1(A,B,C)) & v1_funct_2(k2_fuzzy_1(A,B,C),A,k1_numbers) & m1_subset_1(k2_fuzzy_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k2_fuzzy_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k2_fuzzy_2(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k2_fuzzy_2(A,B,C)) & v1_funct_2(k2_fuzzy_2(A,B,C),A,k1_numbers) & m1_subset_1(k2_fuzzy_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k2_fuzzy_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ( v5_relat_1(k2_fuzzy_4(A,B,C,D,E,F,G),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k2_fuzzy_4(A,B,C,D,E,F,G)) & v1_funct_2(k2_fuzzy_4(A,B,C,D,E,F,G),B,k1_numbers) & m1_subset_1(k2_fuzzy_4(A,B,C,D,E,F,G),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k2_fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => m1_subset_1(k2_fvaluat1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_funct_1(k2_fvsum_1(A)) & v1_funct_2(k2_fvsum_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k2_fvsum_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k2_gaussint,axiom,( v1_funct_1(k2_gaussint) & v1_funct_2(k2_gaussint,k2_zfmisc_1(k1_gaussint,k1_gaussint),k1_gaussint) & m1_subset_1(k2_gaussint,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_gaussint,k1_gaussint),k1_gaussint))) )).
fof(dt_k2_gcd_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_gcd_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_finseq_1(B,k3_card_3(A)) & m1_finseq_1(C,k3_card_3(A)) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) ) => m2_finseq_1(k2_genealg1(A,B,C,D,E),k3_card_3(A)) ) )).
fof(dt_k2_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => v1_xreal_0(k2_geomtrap(A,B,C,D)) ) )).
fof(dt_k2_gfacirc1,axiom,( v1_funct_1(k2_gfacirc1) & v1_funct_2(k2_gfacirc1,k4_finseq_2(1,k5_margrel1),k5_margrel1) & m1_subset_1(k2_gfacirc1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(1,k5_margrel1),k5_margrel1))) )).
fof(dt_k2_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v3_msualg_1(k2_gfacirc2(A,B,C),k1_gfacirc2(A,B,C)) & v4_msafree2(k2_gfacirc2(A,B,C),k1_gfacirc2(A,B,C)) & v4_circcomb(k2_gfacirc2(A,B,C),k1_gfacirc2(A,B,C)) & v6_circcomb(k2_gfacirc2(A,B,C),k1_gfacirc2(A,B,C)) & l3_msualg_1(k2_gfacirc2(A,B,C),k1_gfacirc2(A,B,C)) ) ) )).
fof(dt_k2_glib_000,axiom,( m1_subset_1(k2_glib_000,k4_ordinal1) )).
fof(dt_k2_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m3_glib_001(k2_glib_001(A,B,C,D),A) ) )).
fof(dt_k2_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( ~ v1_xboole_0(k2_glib_002(A,B)) & m1_subset_1(k2_glib_002(A,B),k1_zfmisc_1(k6_glib_000(A))) ) ) )).
fof(dt_k2_glib_003,axiom,( m1_subset_1(k2_glib_003,k4_ordinal1) )).
fof(dt_k2_glib_004,axiom,( ~ v1_xboole_0(k2_glib_004) & v1_finset_1(k2_glib_004) & m1_subset_1(k2_glib_004,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k2_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_glib_005(C,A,B) ) => m1_subset_1(k2_glib_005(A,B,C),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k2_goboard1,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => m2_finseq_1(k2_goboard1(A),k1_numbers) ) )).
fof(dt_k2_goboard2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( v1_matrix_0(k2_goboard2(A)) & m2_finseq_1(k2_goboard2(A),k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(dt_k2_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => m1_subset_1(k2_goboard5(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k2_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k2_goboard9(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k2_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => m1_subset_1(k2_gobrd13(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k2_goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => m2_subset_1(k2_goedcpuc(A,B,C),k2_qc_lang1(k1_goedcpuc(A)),k3_qc_lang1(k1_goedcpuc(A))) ) )).
fof(dt_k2_goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m2_subset_1(k2_goedelcp(A,B),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_k2_gr_cy_1,axiom,( ~ v2_struct_0(k2_gr_cy_1) & v15_algstr_0(k2_gr_cy_1) & l3_algstr_0(k2_gr_cy_1) )).
fof(dt_k2_graph_1,axiom,( ! [A] : ! [B] : ( ( l1_graph_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k2_graph_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => m2_finseq_1(k2_graph_2(A,B,C,D),A) ) )).
fof(dt_k2_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_graph_3(A,B,C),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k2_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_finseq_1(B,u4_struct_0(A)) ) => m1_subset_1(k2_graph_5(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m1_finseq_1(C,k1_numbers) & v1_xreal_0(D) ) => m2_finseq_1(k2_graphsp(A,B,C,D),k1_numbers) ) )).
fof(dt_k2_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k2_grcat_1(A,B)) & v1_funct_2(k2_grcat_1(A,B),k1_grcat_1(A,B),B) & m1_subset_1(k2_grcat_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_grcat_1(A,B),B))) ) ) )).
fof(dt_k2_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => m1_subset_1(k2_groeb_1(A,B,C,D),k1_zfmisc_1(k15_pre_poly(A))) ) )).
fof(dt_k2_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( v1_relat_1(k2_groeb_2(A,B,C)) & v4_relat_1(k2_groeb_2(A,B,C),A) & v1_funct_1(k2_groeb_2(A,B,C)) & v1_partfun1(k2_groeb_2(A,B,C),A) & v4_valued_0(k2_groeb_2(A,B,C)) & v2_pre_poly(k2_groeb_2(A,B,C)) ) ) )).
fof(dt_k2_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k15_pre_poly(A))) ) => ( v1_funct_1(k2_groeb_3(A,B,C,D)) & v1_funct_2(k2_groeb_3(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k2_groeb_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k2_group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_group_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k2_group_10(A)) & v1_funct_2(k2_group_10(A),u1_struct_0(A),k1_funct_2(u1_struct_0(A),u1_struct_0(A))) & v1_group_10(k2_group_10(A),A,u1_struct_0(A)) & m1_subset_1(k2_group_10(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(u1_struct_0(A),u1_struct_0(A))))) ) ) )).
fof(dt_k2_group_11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_group_2(C,A) ) => m1_subset_1(k2_group_11(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => ( v15_algstr_0(k2_group_12(A,B,C)) & m1_group_2(k2_group_12(A,B,C),k2_group_7(A,B)) ) ) )).
fof(dt_k2_group_14,axiom,( ! [A] : ( v7_ordinal1(A) => l2_algstr_0(k2_group_14(A)) ) )).
fof(dt_k2_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ( ~ v2_struct_0(k2_group_19(A,B,C)) & v2_group_1(k2_group_19(A,B,C)) & v3_group_1(k2_group_19(A,B,C)) & l3_algstr_0(k2_group_19(A,B,C)) ) ) )).
fof(dt_k2_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_group_4,axiom,( ! [A] : ( v1_int_1(A) => m1_subset_1(k2_group_4(A),k4_numbers) ) )).
fof(dt_k2_group_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_group_5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k2_group_6(A,B,C)) & v1_group_3(k2_group_6(A,B,C),B) & m1_group_6(k2_group_6(A,B,C),A,B) ) ) )).
fof(dt_k2_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( v15_algstr_0(k2_group_7(A,B)) & l3_algstr_0(k2_group_7(A,B)) ) ) )).
fof(dt_k2_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) & m1_finseq_1(D,A) ) => ( v1_funct_1(k2_group_9(A,B,C,D)) & v1_funct_2(k2_group_9(A,B,C,D),B,B) & m1_subset_1(k2_group_9(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) )).
fof(dt_k2_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => m1_subset_1(k2_groupp_1(A,B),k4_ordinal1) ) )).
fof(dt_k2_grsolv_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_group_2(D,A) ) => ( v15_algstr_0(k2_grsolv_1(A,B,C,D)) & m1_group_2(k2_grsolv_1(A,B,C,D),B) ) ) )).
fof(dt_k2_hahnban1,axiom,( m1_subset_1(k2_hahnban1,u1_struct_0(k1_complfld)) )).
fof(dt_k2_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & m1_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => m2_finseq_1(k2_hallmar1(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k2_helly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => ( v5_glib_001(k2_helly(A,B,C),A) & m3_glib_001(k2_helly(A,B,C),A) ) ) )).
fof(dt_k2_henmodel,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k6_qc_lang1(A)) & v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,k7_qc_lang1(A,B)) & m1_finseq_1(C,k2_qc_lang1(A)) ) => m2_subset_1(k2_henmodel(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k2_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(B,A,k1_complfld) & v1_hermitan(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k2_hermitan(A,B)) & v1_funct_2(k2_hermitan(A,B),u1_struct_0(k6_vectsp10(k1_complfld,A,k9_vectsp10(k1_complfld,A,k1_hermitan(A,B)))),u1_struct_0(k1_complfld)) & v13_vectsp_1(k2_hermitan(A,B),k6_vectsp10(k1_complfld,A,k9_vectsp10(k1_complfld,A,k1_hermitan(A,B))),k1_complfld) & v1_hermitan(k2_hermitan(A,B),k6_vectsp10(k1_complfld,A,k9_vectsp10(k1_complfld,A,k1_hermitan(A,B)))) & m1_subset_1(k2_hermitan(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k9_vectsp10(k1_complfld,A,k1_hermitan(A,B)))),u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k2_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k7_normform(A)) => m2_subset_1(k2_heyting1(A,B),k5_finsub_1(k7_normform(A)),k8_normform(A)) ) )).
fof(dt_k2_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) ) => m1_subset_1(k2_heyting2(A,B,C),k5_finsub_1(k4_partfun1(A,B))) ) )).
fof(dt_k2_heyting3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k2_heyting3(A,B),k4_partfun1(k4_ordinal1,k1_tarski(B))) ) )).
fof(dt_k2_hilbasis,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => m2_subset_1(k2_hilbasis(A,B),k14_pre_poly(A),k15_pre_poly(A)) ) )).
fof(dt_k2_hilbert1,axiom,( m1_subset_1(k2_hilbert1,k1_hilbert1) )).
fof(dt_k2_hilbert2,axiom,( v1_relat_1(k2_hilbert2) & v4_relat_1(k2_hilbert2,k1_hilbert1) & v1_funct_1(k2_hilbert2) & v1_partfun1(k2_hilbert2,k1_hilbert1) )).
fof(dt_k2_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v1_relat_1(k2_hilbert3(A)) & v4_relat_1(k2_hilbert3(A),k1_hilbert1) & v1_funct_1(k2_hilbert3(A)) & v1_partfun1(k2_hilbert3(A),k1_hilbert1) ) ) )).
fof(dt_k2_huffman1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_trees_3(k2_huffman1(A),A) ) )).
fof(dt_k2_hurwitz,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => v1_int_1(k2_hurwitz(A,B)) ) )).
fof(dt_k2_hurwitz2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_hurwitz2(A,B)) & v1_funct_2(k2_hurwitz2(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k2_hurwitz2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k2_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => ( v3_card_1(k2_idea_1(A,B,C),A) & m2_finseq_1(k2_idea_1(A,B,C),k5_margrel1) ) ) )).
fof(dt_k2_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => m1_subset_1(k2_incproj(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_incproj(A)))) ) )).
fof(dt_k2_incsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v15_incsp_1(A) & l2_incsp_1(A) & m1_subset_1(B,u1_incsp_1(A)) & m1_subset_1(C,u1_incsp_1(A)) & m1_subset_1(D,u1_incsp_1(A)) ) => m1_subset_1(k2_incsp_1(A,B,C,D),u4_incsp_1(A)) ) )).
fof(dt_k2_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(k2_index_1(A,B,C)) & ~ v11_struct_0(k2_index_1(A,B,C)) & v2_cat_1(k2_index_1(A,B,C)) & v3_cat_1(k2_index_1(A,B,C)) & v4_cat_1(k2_index_1(A,B,C)) & v5_cat_1(k2_index_1(A,B,C)) & v6_cat_1(k2_index_1(A,B,C)) & l1_cat_1(k2_index_1(A,B,C)) ) ) )).
fof(dt_k2_instalg1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) & l3_msualg_1(C,A) ) => ( v3_msualg_1(k2_instalg1(A,B,C),B) & l3_msualg_1(k2_instalg1(A,B,C),B) ) ) )).
fof(dt_k2_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => v1_int_1(k2_int_1(A)) ) )).
fof(dt_k2_int_2,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v7_ordinal1(k2_int_2(A,B)) ) )).
fof(dt_k2_int_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => m1_subset_1(k2_int_3(A),u1_struct_0(k1_int_3)) ) )).
fof(dt_k2_int_5,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v7_ordinal1(B) & v1_int_2(B) ) => v1_int_1(k2_int_5(A,B)) ) )).
fof(dt_k2_int_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_partfun3(B) & v1_int_6(B) ) => v1_int_1(k2_int_6(A,B)) ) )).
fof(dt_k2_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v1_funct_1(k2_int_7(A)) & v1_funct_2(k2_int_7(A),k2_zfmisc_1(k1_int_7(A),k1_int_7(A)),k1_int_7(A)) & m1_subset_1(k2_int_7(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_int_7(A),k1_int_7(A)),k1_int_7(A)))) ) ) )).
fof(dt_k2_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_int_8(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k2_integr10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) ) => v1_xreal_0(k2_integr10(A,B,C)) ) )).
fof(dt_k2_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr15(D,A,B,C) & m1_subset_1(E,k4_ordinal1) ) => m1_integr15(k2_integr15(A,B,C,D,E),A,B,k2_integra2(A,C,E)) ) )).
fof(dt_k2_integr16,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m2_finseq_1(k2_integr16(A),k1_numbers) ) )).
fof(dt_k2_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) & v7_ordinal1(F) ) => m1_integr18(k2_integr18(A,B,C,D,E,F),A,B,C,k2_integra2(B,D,F)) ) )).
fof(dt_k2_integr1c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => v1_xcmplx_0(k2_integr1c(A,B,C,D,E,F)) ) )).
fof(dt_k2_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k2_integra1(A,B,C)) & v2_measure5(k2_integra1(A,B,C)) & m1_subset_1(k2_integra1(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k2_integra2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v7_ordinal1(C) ) => m1_integra1(k2_integra2(A,B,C),A) ) )).
fof(dt_k2_integra3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( v1_funct_1(k2_integra3(A,B)) & v1_funct_2(k2_integra3(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k2_integra3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_integra5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k2_integra5(A,B)) ) )).
fof(dt_k2_integra9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k2_integra9(A,B)) ) )).
fof(dt_k2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_interva1(k2_interva1(A,B,C),A) ) )).
fof(dt_k2_intpro_1,axiom,( m1_subset_1(k2_intpro_1,k1_intpro_1) )).
fof(dt_k2_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k2_irrat_1(A)) & v1_funct_2(k2_irrat_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k2_irrat_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_isocat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m1_nattra_1(F,A,B,D,E) & m2_cat_1(G,B,C) ) => m1_nattra_1(k2_isocat_1(A,B,C,D,E,F,G),A,C,k9_cat_1(A,B,C,D,G),k9_cat_1(A,B,C,E,G)) ) )).
fof(dt_k2_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(A)) ) => m2_cat_1(k2_isocat_2(A,B,C),k9_nattra_1(A,B),B) ) )).
fof(dt_k2_jgraph_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k2_jgraph_1(A)) & v1_funct_1(k2_jgraph_1(A)) & v1_finseq_1(k2_jgraph_1(A)) ) ) )).
fof(dt_k2_jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( v1_funct_1(k2_jgraph_2(A,B,C,D)) & v1_funct_2(k2_jgraph_2(A,B,C,D),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k2_jgraph_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) ) )).
fof(dt_k2_jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k2_jgraph_4(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k2_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_subset_1(k2_jgraph_6(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k2_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,B))) ) => m1_subset_1(k2_jordan(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k2_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k2_jordan11(A),k4_ordinal1) ) )).
fof(dt_k2_jordan18,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k2_jordan18(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k2_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k2_jordan19(A)) & v1_funct_2(k2_jordan19(A),k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(k2_jordan19(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(2)))))) ) ) )).
fof(dt_k2_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => m2_finseq_1(k2_jordan1e(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k2_jordan1h,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k3_finseq_2(A)) ) => m1_subset_1(k2_jordan1h(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k2_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(k2_jordan21(A),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k2_jordan2c,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m1_subset_1(k2_jordan2c(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k2_jordan3,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m2_finseq_1(k2_jordan3(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k2_jordan5c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k2_jordan5c(A,B,C,D),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k2_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k2_jordan5d(A)) ) )).
fof(dt_k2_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k2_jordan6(A,B,C),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k2_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & m1_jordan_a(C,A) ) => m1_subset_1(k2_jordan_a(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k2_knaster,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v6_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => m1_subset_1(k2_knaster(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k2_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) & m1_subset_1(E,k1_zfmisc_1(A)) ) => ( v1_funct_1(k2_kolmog01(A,B,C,D,E)) & v1_funct_2(k2_kolmog01(A,B,C,D,E),E,k9_setfam_1(C)) & m1_subset_1(k2_kolmog01(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(E,k9_setfam_1(C)))) ) ) )).
fof(dt_k2_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_subset_1(k2_kurato_0(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k2_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_kurato_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_kurato_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => m1_subset_1(k2_kurato_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k2_lagra4sq(A),k4_numbers) ) )).
fof(dt_k2_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),C,C) & m1_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => ( v1_matrix_0(k2_laplace(A,B,C,D,E)) & v2_matrix_0(k2_laplace(A,B,C,D,E),u1_struct_0(D),k7_nat_d(C,1),k7_nat_d(C,1)) & m2_finseq_1(k2_laplace(A,B,C,D,E),k3_finseq_2(u1_struct_0(D))) ) ) )).
fof(dt_k2_latsubgr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) ) => ( v15_algstr_0(k2_latsubgr(A,B)) & m1_group_2(k2_latsubgr(A,B),A) ) ) )).
fof(dt_k2_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => m1_subset_1(k2_lattad_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k2_lattice2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => m1_subset_1(k2_lattice2(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k2_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_partfun1(k2_lattice3(A),u1_struct_0(A)) & v1_relat_2(k2_lattice3(A)) & v4_relat_2(k2_lattice3(A)) & v8_relat_2(k2_lattice3(A)) & m1_subset_1(k2_lattice3(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k2_lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) ) => m1_subset_1(k2_lattice4(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_yellow_0(B,k1_lattice5(A)) & v6_yellow_0(B,k1_lattice5(A)) & m1_yellow_0(B,k1_lattice5(A)) ) => m1_subset_1(k2_lattice5(A,B),k4_ordinal1) ) )).
fof(dt_k2_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) ) => m1_subset_1(k2_lattice6(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_lattice7,axiom,( ! [A] : ! [B] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_lattice7(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) ) => ( v1_funct_1(k2_lattice8(A,B,C,D)) & v1_funct_2(k2_lattice8(A,B,C,D),k2_zfmisc_1(k1_lattice8(A),k1_lattice8(A)),u1_struct_0(B)) & m1_subset_1(k2_lattice8(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lattice8(A),k1_lattice8(A)),u1_struct_0(B)))) ) ) )).
fof(dt_k2_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_relat_1(k2_latticea(A)) & v1_funct_1(k2_latticea(A)) ) ) )).
fof(dt_k2_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_lfuzzy_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k2_lfuzzy_1(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k2_lfuzzy_1(A,B,C)) & v1_funct_2(k2_lfuzzy_1(A,B,C),A,k1_numbers) & m1_subset_1(k2_lfuzzy_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k2_limfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k2_limfunc1(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k2_limfunc2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => v1_xreal_0(k2_limfunc2(A,B)) ) )).
fof(dt_k2_lmod_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => m1_subset_1(k2_lmod_6(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k2_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) ) => ( v1_funct_1(k2_lopban_1(A,B)) & v1_funct_2(k2_lopban_1(A,B),k2_zfmisc_1(k9_funct_2(A,u1_struct_0(B)),k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))) & m1_subset_1(k2_lopban_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,u1_struct_0(B)),k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))))) ) ) )).
fof(dt_k2_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k10_lopban_1(A,A)) & m1_subset_1(C,k10_lopban_1(A,A)) ) => m2_subset_1(k2_lopban_2(A,B,C),u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) ) )).
fof(dt_k2_lopban_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k2_lopban_3(A,B,C)) & v1_funct_2(k2_lopban_3(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k2_lopban_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k2_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k2_lopban_4(A)) & v1_funct_2(k2_lopban_4(A),k4_ordinal1,k1_numbers) & m1_subset_1(k2_lopban_4(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_lopban_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k16_lopban_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k16_lopban_1(A,B))))) & m1_subset_1(D,u1_struct_0(A)) ) => ( v1_funct_1(k2_lopban_5(A,B,C,D)) & v1_funct_2(k2_lopban_5(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & m1_subset_1(k2_lopban_5(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k2_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( v1_funct_1(k2_lopban_7(A,B,C,D)) & v1_funct_2(k2_lopban_7(A,B,C,D),k4_ordinal1,u1_struct_0(k7_prvect_3(A,B))) & m1_subset_1(k2_lopban_7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_prvect_3(A,B))))) ) ) )).
fof(dt_k2_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => m2_subset_1(k2_lopclset(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) ) )).
fof(dt_k2_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ v1_xboole_0(k2_lp_space(A)) & m1_subset_1(k2_lp_space(A),k1_zfmisc_1(u1_struct_0(k4_rsspace))) ) ) )).
fof(dt_k2_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k3_rfunct_3(A,B),k3_rfunct_3(A,B)),k3_rfunct_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,B),k3_rfunct_3(A,B)),k3_rfunct_3(A,B)))) & m1_subset_1(D,k3_rfunct_3(A,B)) & m1_subset_1(E,k3_rfunct_3(A,B)) ) => m2_rfunct_3(k2_lpspace1(A,B,C,D,E),A,B,k3_rfunct_3(A,B)) ) )).
fof(dt_k2_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v2_struct_0(k2_lpspace2(A,B,C,D)) & v1_rlvect_1(k2_lpspace2(A,B,C,D)) & v2_rlvect_1(k2_lpspace2(A,B,C,D)) & v3_rlvect_1(k2_lpspace2(A,B,C,D)) & v4_rlvect_1(k2_lpspace2(A,B,C,D)) & v5_rlvect_1(k2_lpspace2(A,B,C,D)) & v6_rlvect_1(k2_lpspace2(A,B,C,D)) & v7_rlvect_1(k2_lpspace2(A,B,C,D)) & v8_rlvect_1(k2_lpspace2(A,B,C,D)) & l1_rlvect_1(k2_lpspace2(A,B,C,D)) ) ) )).
fof(dt_k2_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => m1_subset_1(k2_ltlaxio1(A),k1_hilbert1) ) )).
fof(dt_k2_ltlaxio2,axiom,( ! [A] : ( m1_finseq_1(A,k1_hilbert1) => m2_finseq_1(k2_ltlaxio2(A),k1_hilbert1) ) )).
fof(dt_k2_mathmorp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_mathmorp(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_matrix10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k2_matrix10(A,B)) & v2_matrix_0(k2_matrix10(A,B),k1_numbers,A,A) & m2_finseq_1(k2_matrix10(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k2_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_subset_1(C,k9_matrix_1(k1_nat_1(A,2))) ) => m1_subset_1(k2_matrix11(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k2_matrix12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(C)) ) => ( v1_matrix_0(k2_matrix12(A,B,C,D,E,F)) & v2_matrix_0(k2_matrix12(A,B,C,D,E,F),u1_struct_0(C),A,B) & m2_finseq_1(k2_matrix12(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k2_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & m1_subset_1(E,u1_struct_0(C)) ) => ( v1_matrix_0(k2_matrix13(A,B,C,D,E)) & v2_matrix_0(k2_matrix13(A,B,C,D,E),u1_struct_0(C),A,B) & m2_finseq_1(k2_matrix13(A,B,C,D,E),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k2_matrix14,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,k4_ordinal1) ) => m2_finseq_2(k2_matrix14(A,B),u1_struct_0(A),k4_finseq_2(B,u1_struct_0(A))) ) )).
fof(dt_k2_matrix15,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v1_matrix_0(k2_matrix15(A,B)) & v2_matrix_0(k2_matrix15(A,B),A,1,k3_finseq_1(B)) & m2_finseq_1(k2_matrix15(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k2_matrix16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v1_matrix_0(k2_matrix16(A,B)) & v2_matrix_0(k2_matrix16(A,B),A,k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(k2_matrix16(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k2_matrix_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_matrix_0(k2_matrix_1(A,B)) & v2_matrix_0(k2_matrix_1(A,B),u1_struct_0(A),B,B) & m2_finseq_1(k2_matrix_1(A,B),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k2_matrix_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ( v1_matrix_0(k2_matrix_3(A,B)) & m2_finseq_1(k2_matrix_3(A,B),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k2_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(u1_struct_0(k1_complfld))) ) => ( v1_matrix_0(k2_matrix_5(A)) & m2_finseq_1(k2_matrix_5(A),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k2_matrix_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => m1_subset_1(k2_matrix_9(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k2_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k2_matrixc1(A)) & m2_finseq_1(k2_matrixc1(A),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k2_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrix_0(k2_matrixj1(A,B,C)) & m2_finseq_1(k2_matrixj1(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k2_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( v1_matrix_0(k2_matrixj2(A,B,C)) & v2_matrix_0(k2_matrixj2(A,B,C),u1_struct_0(A),C,C) & v2_matrix_1(k2_matrixj2(A,B,C),C,A) & m2_finseq_1(k2_matrixj2(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k2_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v1_matrix_0(k2_matrixr1(A)) & m2_finseq_1(k2_matrixr1(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k2_matrixr2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k2_matrixr2(A,B)) & v2_matrix_0(k2_matrixr2(A,B),u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(k2_matrixr2(A,B),k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) ) )).
fof(dt_k2_matrlin,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v1_matrix_0(k2_matrlin(A,B)) & v2_matrix_0(k2_matrlin(A,B),A,1,k3_finseq_1(B)) & m2_finseq_1(k2_matrlin(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k2_matroid0,axiom,( ! [A] : ( v1_pre_topc(k2_matroid0(A)) & l1_pre_topc(k2_matroid0(A)) ) )).
fof(dt_k2_matrprob,axiom,( ! [A] : ( v1_xreal_0(A) => m2_finseq_1(k2_matrprob(A),k1_numbers) ) )).
fof(dt_k2_matrtop1,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k2_vectsp_1)) => m2_finseq_1(k2_matrtop1(A),k1_numbers) ) )).
fof(dt_k2_matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( v1_matrix_0(k2_matrtop3(A,B,C,D)) & v2_matrix_0(k2_matrtop3(A,B,C,D),u1_struct_0(k2_vectsp_1),A,A) & v1_matrix_6(k2_matrtop3(A,B,C,D),A,k2_vectsp_1) & m2_finseq_1(k2_matrtop3(A,B,C,D),k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) ) )).
fof(dt_k2_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k2_mboolean(A,B)) & v4_relat_1(k2_mboolean(A,B),A) & v1_funct_1(k2_mboolean(A,B)) & v1_partfun1(k2_mboolean(A,B),A) ) ) )).
fof(dt_k2_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k3_zfmisc_1(A,B,C)) ) => m1_subset_1(k2_mcart_1(A,B,C,D),B) ) )).
fof(dt_k2_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => m2_subset_1(k2_measure1(A,B,C,D),k1_zfmisc_1(A),B) ) )).
fof(dt_k2_measure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_measure2(C,A,B) ) => m2_subset_1(k2_measure2(A,B,C),k1_zfmisc_1(A),B) ) )).
fof(dt_k2_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k2_measure3(A,B,C)) & m1_subset_1(k2_measure3(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k2_measure4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_measure2(C,A,B) ) => m2_subset_1(k2_measure4(A,B,C),k1_zfmisc_1(A),B) ) )).
fof(dt_k2_measure5,axiom,( ! [A] : ( v2_membered(A) => m1_subset_1(k2_measure5(A),k6_numbers) ) )).
fof(dt_k2_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k2_measure6(A,B,C)) & v1_funct_2(k2_measure6(A,B,C),k9_setfam_1(B),k9_setfam_1(A)) & m1_subset_1(k2_measure6(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(A)))) ) ) )).
fof(dt_k2_measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_measure7(B,A) & m1_subset_1(C,k4_ordinal1) ) => ( v6_xxreal_2(k2_measure7(A,B,C)) & m1_subset_1(k2_measure7(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k2_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_measure8(D,A,B) ) => ( v1_funct_1(k2_measure8(A,B,C,D)) & v1_funct_2(k2_measure8(A,B,C,D),k4_ordinal1,k6_numbers) & m1_subset_1(k2_measure8(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k2_member_1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => m1_subset_1(k2_member_1(A),k6_numbers) ) )).
fof(dt_k2_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & l1_memstr_0(B,A) ) => ( v1_relat_1(k2_memstr_0(A,B)) & v4_relat_1(k2_memstr_0(A,B),u1_struct_0(B)) & v1_funct_1(k2_memstr_0(A,B)) & v1_partfun1(k2_memstr_0(A,B),u1_struct_0(B)) ) ) )).
fof(dt_k2_mesfun6c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( v1_funct_1(k2_mesfun6c(A,B,C)) & m1_subset_1(k2_mesfun6c(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k2_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k2_mesfun7c(A,B)) & m1_subset_1(k2_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k2_mesfun9c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k2_mesfun9c(A,B)) & v1_funct_2(k2_mesfun9c(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k2_mesfun9c(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k2_mesfunc1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_mesfunc1(A),k1_zfmisc_1(k3_numbers)) ) )).
fof(dt_k2_mesfunc2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v1_funct_1(k2_mesfunc2(A,B)) & m1_subset_1(k2_mesfunc2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k2_mesfunc5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => m1_subset_1(k2_mesfunc5(A),k6_numbers) ) )).
fof(dt_k2_mesfunc6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_subset_1(E,B) ) => m1_subset_1(k2_mesfunc6(A,B,C,D,E),k6_numbers) ) )).
fof(dt_k2_mesfunc7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_valued_0(A) ) => m1_subset_1(k2_mesfunc7(A),k6_numbers) ) )).
fof(dt_k2_mesfunc8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k2_mesfunc8(A,B)) & m1_subset_1(k2_mesfunc8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k2_mesfunc9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => m1_subset_1(k2_mesfunc9(A),k6_numbers) ) )).
fof(dt_k2_metric_1,axiom,( v1_funct_1(k2_metric_1) & v1_funct_2(k2_metric_1,k2_zfmisc_1(1,1),k1_numbers) & m1_subset_1(k2_metric_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(1,1),k1_numbers))) )).
fof(dt_k2_metric_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k2_metric_6(A,B,C)) & v1_funct_2(k2_metric_6(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k2_metric_6(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k2_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => m1_subset_1(k2_mfold_0(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_pre_topc(k2_mfold_1(A),k15_euclid(A)) ) )).
fof(dt_k2_mfold_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k2_mfold_2(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k2_midsp_1,axiom,( l1_midsp_1(k2_midsp_1) )).
fof(dt_k2_midsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_subset_1(D,A) & m1_subset_1(E,u1_struct_0(B)) ) => m1_subset_1(k2_midsp_2(A,B,C,D,E),A) ) )).
fof(dt_k2_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & m1_subset_1(C,u1_struct_0(B)) ) => m2_finseq_2(k2_midsp_3(A,B,C),u1_struct_0(B),k4_finseq_2(1,u1_struct_0(B))) ) )).
fof(dt_k2_mmlquer2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k2_mmlquer2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k2_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k2_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k2_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & l1_mod_2(B,A) ) => ( ~ v2_struct_0(k2_mod_2(A,B)) & v13_algstr_0(k2_mod_2(A,B)) & v8_vectsp_1(k2_mod_2(A,B),A) & v9_vectsp_1(k2_mod_2(A,B),A) & v10_vectsp_1(k2_mod_2(A,B),A) & v11_vectsp_1(k2_mod_2(A,B),A) & v2_rlvect_1(k2_mod_2(A,B)) & v3_rlvect_1(k2_mod_2(A,B)) & v4_rlvect_1(k2_mod_2(A,B)) & l1_vectsp_1(k2_mod_2(A,B),A) ) ) )).
fof(dt_k2_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k2_mod_4(A)) & l6_algstr_0(k2_mod_4(A)) ) ) )).
fof(dt_k2_modal_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => m1_subset_1(k2_modal_1(A,B),A) ) )).
fof(dt_k2_modelc_1,axiom,( ! [A] : m1_subset_1(k2_modelc_1(A),k4_ordinal1) )).
fof(dt_k2_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k2_modelc_2(A),k4_ordinal1) ) )).
fof(dt_k2_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k2_modelc_3(A),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_k2_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_xreal_0(k2_moebius1(A)) ) )).
fof(dt_k2_moebius2,axiom,( v1_funct_1(k2_moebius2) & v1_funct_2(k2_moebius2,k4_ordinal1,k1_numbers) & m1_subset_1(k2_moebius2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k2_monoid_0,axiom,( ~ v2_struct_0(k2_monoid_0) & l3_algstr_0(k2_monoid_0) )).
fof(dt_k2_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_morph_01(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_msafree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v3_msualg_1(k2_msafree1(A),A) & l3_msualg_1(k2_msafree1(A),A) ) ) )).
fof(dt_k2_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => m1_subset_1(k2_msafree2(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_msafree3,axiom,( ! [A] : ! [B] : ( ( l1_msualg_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) ) => ( v1_relat_1(k2_msafree3(A,B)) & v4_relat_1(k2_msafree3(A,B),u1_struct_0(A)) & v1_funct_1(k2_msafree3(A,B)) & v1_partfun1(k2_msafree3(A,B),u1_struct_0(A)) ) ) )).
fof(dt_k2_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => ( v1_funct_1(k2_msafree4(A,B,C,D,E)) & v1_funct_2(k2_msafree4(A,B,C,D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & m1_subset_1(k2_msafree4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) ) )).
fof(dt_k2_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_msalimit(C,A,B) & m2_msalimit(D,A,B,C) ) => m2_msalimit(k2_msalimit(A,B,C,D),A,B,C) ) )).
fof(dt_k2_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m2_subset_1(k2_msaterm(A,B,C),u1_struct_0(k5_msafree(A,B)),k7_dtconstr(k5_msafree(A,B))) ) )).
fof(dt_k2_msscyc_2,axiom,( ! [A] : ( l1_msualg_1(A) => ( v1_funct_1(k2_msscyc_2(A)) & v1_funct_2(k2_msscyc_2(A),k1_msscyc_2(A),u1_struct_0(A)) & m1_subset_1(k2_msscyc_2(A),k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A),u1_struct_0(A)))) ) ) )).
fof(dt_k2_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m3_pboole(C,A,k1_mboolean(A,B)) & m1_subset_1(D,A) ) => m1_subset_1(k2_mssubfam(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,D)))) ) )).
fof(dt_k2_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k2_msualg_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => m3_pboole(k2_msualg_2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(dt_k2_msualg_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => m2_pboole(k2_msualg_3(A,B),A,B,B) ) )).
fof(dt_k2_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) ) => ( v3_relat_2(k2_msualg_4(A,B,C,D)) & v8_relat_2(k2_msualg_4(A,B,C,D)) & v1_partfun1(k2_msualg_4(A,B,C,D),k1_funct_1(u3_msualg_1(A,B),D)) & m1_subset_1(k2_msualg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D)))) ) ) )).
fof(dt_k2_msualg_5,axiom,( ! [A] : ( ~ v2_struct_0(k2_msualg_5(A)) & v3_lattices(k2_msualg_5(A)) & v10_lattices(k2_msualg_5(A)) & l3_lattices(k2_msualg_5(A)) ) )).
fof(dt_k2_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msualg_6(C,A,B) & m1_msualg_6(D,A,B) ) => m1_msualg_6(k2_msualg_6(A,B,C,D),A,B) ) )).
fof(dt_k2_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))))) ) => ( v2_msualg_4(k2_msualg_8(A,B,C),A,B) & v3_msualg_4(k2_msualg_8(A,B,C),A,B) & m1_msualg_4(k2_msualg_8(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k2_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & m2_pboole(E,A,B,k6_pboole(A,C,D)) ) => m2_pboole(k2_msualg_9(A,B,C,D,E),A,B,D) ) )).
fof(dt_k2_msuhom_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m2_pboole(k2_msuhom_1(A,B,C),u1_struct_0(k6_msualg_1(A)),u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A)),u3_msualg_1(k6_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)))) ) )).
fof(dt_k2_multop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,C),D))) & m1_subset_1(F,A) & m1_subset_1(G,B) & m1_subset_1(H,C) ) => m1_subset_1(k2_multop_1(A,B,C,D,E,F,G,H),D) ) )).
fof(dt_k2_mycielsk,axiom,( ! [A] : ( ( v1_mycielsk(A) & l1_orders_2(A) ) => v7_ordinal1(k2_mycielsk(A)) ) )).
fof(dt_k2_nagata_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => m1_subset_1(k2_nagata_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,A) ) => ( v1_funct_1(k2_nagata_2(A,B,C)) & v1_funct_2(k2_nagata_2(A,B,C),A,k1_numbers) & m1_subset_1(k2_nagata_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k2_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => m1_subset_1(k2_nat_1(A,B),k4_ordinal1) ) )).
fof(dt_k2_nat_3,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k1_numbers) & v7_ordinal1(B) ) => m2_finseq_1(k2_nat_3(A,B),k1_numbers) ) )).
fof(dt_k2_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k2_nat_5(A)) & v1_funct_2(k2_nat_5(A),k4_ordinal1,k4_ordinal1) & m1_subset_1(k2_nat_5(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) ) )).
fof(dt_k2_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k2_nat_d(A,B)) ) )).
fof(dt_k2_nat_lat,axiom,( v1_funct_1(k2_nat_lat) & v1_funct_2(k2_nat_lat,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(k2_nat_lat,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) )).
fof(dt_k2_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m1_nattra_1(E,A,B,C,D) & m1_subset_1(F,u1_struct_0(A)) ) => m1_cat_1(k2_nattra_1(A,B,C,D,E,F),B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,D,F)) ) )).
fof(dt_k2_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => m2_finseq_2(k2_nbvectsp(A),k5_margrel1,k4_finseq_2(A,k5_margrel1)) ) )).
fof(dt_k2_ndiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k2_ndiff_1(A,B,C)) & v1_funct_2(k2_ndiff_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k2_ndiff_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k2_ndiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B))) & m1_subset_1(E,u1_struct_0(k16_lopban_1(B,C))) ) => m1_subset_1(k2_ndiff_2(A,B,C,D,E),u1_struct_0(k16_lopban_1(A,C))) ) )).
fof(dt_k2_ndiff_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k2_ndiff_3(A,B,C)) & m1_subset_1(k2_ndiff_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) ) )).
fof(dt_k2_ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_funct_1(k2_ndiff_4(A,B,C)) & m1_subset_1(k2_ndiff_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) ) )).
fof(dt_k2_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_ndiff_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_ndiff_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_relat_1(k2_ndiff_6(A,B)) & v1_funct_1(k2_ndiff_6(A,B)) ) ) )).
fof(dt_k2_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) ) => ( v1_funct_1(k2_ndiff_7(A,B,C)) & v1_funct_2(k2_ndiff_7(A,B,C),u1_struct_0(B),u1_struct_0(k7_prvect_3(A,B))) & m1_subset_1(k2_ndiff_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k7_prvect_3(A,B))))) ) ) )).
fof(dt_k2_neckla_2,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ( v1_orders_2(k2_neckla_2(A,B)) & l1_orders_2(k2_neckla_2(A,B)) ) ) )).
fof(dt_k2_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(k2_necklace(A)) & l1_orders_2(k2_necklace(A)) ) ) )).
fof(dt_k2_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( v1_funct_1(k2_nfcont_4(A,B,C)) & m1_subset_1(k2_nfcont_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) ) )).
fof(dt_k2_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => m1_subset_1(k2_normform(A,B,C,D),k2_zfmisc_1(A,B)) ) )).
fof(dt_k2_normsp_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_xreal_0(k2_normsp_0(A,B)) ) )).
fof(dt_k2_normsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_normsp_1(A,B,C)) & v1_funct_2(k2_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k2_normsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k2_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k2_normsp_2(A)) & v6_metric_1(k2_normsp_2(A)) & v7_metric_1(k2_normsp_2(A)) & v8_metric_1(k2_normsp_2(A)) & v9_metric_1(k2_normsp_2(A)) & l1_metric_1(k2_normsp_2(A)) ) ) )).
fof(dt_k2_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k2_normsp_3(A,B)) & v1_funct_2(k2_normsp_3(A,B),B,k1_numbers) & m1_subset_1(k2_normsp_3(A,B),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k2_ntalgo_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) ) => m1_subset_1(k2_ntalgo_1(A,B),k3_zfmisc_1(k4_numbers,k4_numbers,k4_numbers)) ) )).
fof(dt_k2_numeral1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k2_numeral1(A,B)) & v5_relat_1(k2_numeral1(A,B),k4_ordinal1) & v1_funct_1(k2_numeral1(A,B)) & v5_ordinal1(k2_numeral1(A,B)) & v1_finset_1(k2_numeral1(A,B)) ) ) )).
fof(dt_k2_numpoly1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v1_int_1(k2_numpoly1(A,B)) ) )).
fof(dt_k2_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => m2_subset_1(k2_openlatt(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_openlatt(A)) ) )).
fof(dt_k2_oposet_1,axiom,( v3_qmax_1(k2_oposet_1) & l2_qmax_1(k2_oposet_1) )).
fof(dt_k2_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( ~ v2_struct_0(k2_oppcat_1(A)) & ~ v11_struct_0(k2_oppcat_1(A)) & v1_cat_1(k2_oppcat_1(A)) & l1_cat_1(k2_oppcat_1(A)) ) ) )).
fof(dt_k2_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k2_ordeq_01(A,B)) & v13_algstr_0(k2_ordeq_01(A,B)) & v1_rlvect_1(k2_ordeq_01(A,B)) & v2_rlvect_1(k2_ordeq_01(A,B)) & v3_rlvect_1(k2_ordeq_01(A,B)) & v4_rlvect_1(k2_ordeq_01(A,B)) & v5_rlvect_1(k2_ordeq_01(A,B)) & v6_rlvect_1(k2_ordeq_01(A,B)) & v7_rlvect_1(k2_ordeq_01(A,B)) & v8_rlvect_1(k2_ordeq_01(A,B)) & l1_rlvect_1(k2_ordeq_01(A,B)) ) ) )).
fof(dt_k2_orders_1,axiom,( ! [A] : ( v1_relat_2(k2_orders_1(A)) & v4_relat_2(k2_orders_1(A)) & v8_relat_2(k2_orders_1(A)) & v1_partfun1(k2_orders_1(A),A) & m1_subset_1(k2_orders_1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k2_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_orders_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_ordinal2,axiom,( ! [A] : v3_ordinal1(k2_ordinal2(A)) )).
fof(dt_k2_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( v3_ordinal1(k2_ordinal4(A)) & m1_subset_1(k2_ordinal4(A),A) ) ) )).
fof(dt_k2_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( v3_ordinal1(k2_ordinal5(A)) & v4_ordinal5(k2_ordinal5(A)) ) ) )).
fof(dt_k2_ordinal6,axiom,( ! [A] : ( v1_relat_1(k2_ordinal6(A)) & v1_funct_1(k2_ordinal6(A)) & v5_ordinal1(k2_ordinal6(A)) & v1_ordinal2(k2_ordinal6(A)) ) )).
fof(dt_k2_ortsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) ) => m1_subset_1(k2_ortsp_1(A,B,C,D,E,F),u1_struct_0(A)) ) )).
fof(dt_k2_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => l1_lang1(k2_osafree(A,B)) ) )).
fof(dt_k2_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & l3_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,k3_finseq_2(u1_struct_0(A))) ) => m1_subset_1(k2_osalg_1(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k2_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(k2_osalg_2(A,B)) & v4_relat_1(k2_osalg_2(A,B),u1_struct_0(A)) & v1_funct_1(k2_osalg_2(A,B)) & v1_partfun1(k2_osalg_2(A,B),u1_struct_0(A)) & v11_osalg_1(k2_osalg_2(A,B),A) ) ) )).
fof(dt_k2_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( ~ v1_xboole_0(k2_osalg_4(A)) & m1_subset_1(k2_osalg_4(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_k2_parsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & m1_subset_1(C,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) ) => m1_subset_1(k2_parsp_1(A,B,C),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) ) )).
fof(dt_k2_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k2_partfun1(A,B,C,D)) & m1_subset_1(k2_partfun1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k2_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k2_partfun2(A,B,C)) & m1_subset_1(k2_partfun2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k2_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k2_partfun3(A,B,C)) & m1_subset_1(k2_partfun3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k2_partit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => m1_eqrel_1(k2_partit1(A,B,C),A) ) )).
fof(dt_k2_partit_2,axiom,( ! [A] : ! [B] : m1_subset_1(k2_partit_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))) )).
fof(dt_k2_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k2_pboole(A,B,C)) & v4_relat_1(k2_pboole(A,B,C),A) & v1_funct_1(k2_pboole(A,B,C)) & v1_partfun1(k2_pboole(A,B,C),A) ) ) )).
fof(dt_k2_pcomps_1,axiom,( ! [A] : ( l1_metric_1(A) => m1_subset_1(k2_pcomps_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => m1_subset_1(k2_pcs_0(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,C),k2_xboole_0(B,D)))) ) )).
fof(dt_k2_pdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k2_pdiff_1(A)) & m1_subset_1(k2_pdiff_1(A),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(1),k1_euclid(1)))) ) ) )).
fof(dt_k2_pdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) & m1_subset_1(B,k1_euclid(2)) ) => v1_xreal_0(k2_pdiff_3(A,B)) ) )).
fof(dt_k2_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k2_pdiff_5(A,B)) ) )).
fof(dt_k2_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( v1_funct_1(k2_pdiff_7(A,B,C,D,E)) & m1_subset_1(k2_pdiff_7(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) ) )).
fof(dt_k2_pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( v1_funct_1(k2_pdiff_9(A,B,C)) & m1_subset_1(k2_pdiff_9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k9_funct_2(k1_euclid(A),k1_numbers)))) ) ) )).
fof(dt_k2_pencil_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(k2_pencil_1(A,B,C)) & ~ v3_pencil_1(k2_pencil_1(A,B,C)) & ~ v4_pencil_1(k2_pencil_1(A,B,C)) & v5_pencil_1(k2_pencil_1(A,B,C)) & v6_pencil_1(k2_pencil_1(A,B,C)) & l1_pre_topc(k2_pencil_1(A,B,C)) ) ) )).
fof(dt_k2_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_pre_topc(A)) ) => m1_subset_1(k2_pencil_2(A,B,C),u1_pre_topc(A)) ) )).
fof(dt_k2_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ( v1_funct_1(k2_pencil_3(A,B,C)) & v1_funct_2(k2_pencil_3(A,B,C),A,A) & v3_funct_2(k2_pencil_3(A,B,C),A,A) & m1_subset_1(k2_pencil_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k2_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) ) => m1_subset_1(k2_pencil_4(A,B,C,D),k1_zfmisc_1(k3_vectsp_5(A,B))) ) )).
fof(dt_k2_pepin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m1_subset_1(k2_pepin(A,B,C),k4_ordinal1) ) )).
fof(dt_k2_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u1_petri(A)) ) => m1_subset_1(k2_petri(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_petri_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k2_petri_2(A,B)) & m1_subset_1(k2_petri_2(A,B),k1_zfmisc_1(k1_zfmisc_1(k9_funct_2(B,A)))) ) ) )).
fof(dt_k2_petri_3,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ v1_xboole_0(k2_petri_3(A)) ) )).
fof(dt_k2_petri_df,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_finseq_1(B,k2_net_1(A)) ) => ( v1_finset_1(k2_petri_df(A,B)) & m1_subset_1(k2_petri_df(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k2_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( v1_funct_1(k2_pnproc_1(A,B,C)) & v1_funct_2(k2_pnproc_1(A,B,C),A,k4_ordinal1) & m1_subset_1(k2_pnproc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) )).
fof(dt_k2_polyalg1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l1_polyalg1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ~ v2_struct_0(k2_polyalg1(A,B,C)) & v1_polyalg1(k2_polyalg1(A,B,C),A) & m1_polyalg1(k2_polyalg1(A,B,C),A,B) ) ) )).
fof(dt_k2_polyeq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xcmplx_0(D) ) => m1_subset_1(k2_polyeq_3(A,B,C,D),k2_numbers) ) )).
fof(dt_k2_polyeq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_xcmplx_0(k2_polyeq_5(A,B,C)) ) )).
fof(dt_k2_polyform,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => m2_finseq_1(k2_polyform(A,B),k4_numbers) ) )).
fof(dt_k2_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => m1_subset_1(k2_polynom2(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k2_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m2_finseq_2(k2_polynom3(A,B,C),A,k4_finseq_2(2,A)) ) )).
fof(dt_k2_polynom4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_polynom4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_polynom5,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k1_complfld)) => m2_finseq_1(k2_polynom5(A),k1_numbers) ) )).
fof(dt_k2_polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) & ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))) & v1_polynom1(D,k12_polynom1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))))) ) => ( v1_funct_1(k2_polynom6(A,B,C,D)) & v1_funct_2(k2_polynom6(A,B,C,D),k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)) & v1_polynom1(k2_polynom6(A,B,C,D),C) & m1_subset_1(k2_polynom6(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)))) ) ) )).
fof(dt_k2_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_relat_1(k2_polynom7(A,B,C)) & v4_relat_1(k2_polynom7(A,B,C),A) & v1_funct_1(k2_polynom7(A,B,C)) & v1_partfun1(k2_polynom7(A,B,C),A) & v4_valued_0(k2_polynom7(A,B,C)) & v2_pre_poly(k2_polynom7(A,B,C)) ) ) )).
fof(dt_k2_polynom8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_int_1(C) ) => m1_subset_1(k2_polynom8(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => m1_subset_1(k2_polyred(A,B,C,D),k5_finsub_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),B)))) ) )).
fof(dt_k2_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ~ v1_xboole_0(k2_poset_1(A,B)) & v6_orders_2(k2_poset_1(A,B),A) & m1_subset_1(k2_poset_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k2_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k3_yellow_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => ( ~ v1_xboole_0(k2_poset_2(A,B,C)) & v6_orders_2(k2_poset_2(A,B,C),B) & m1_subset_1(k2_poset_2(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_k2_power,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k2_power(A,B)) ) )).
fof(dt_k2_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) ) => m2_finseq_1(k2_pralg_1(A,B,C),B) ) )).
fof(dt_k2_pralg_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k2_pralg_2(A)) & v4_relat_1(k2_pralg_2(A),k4_card_3(k1_funct_6(A))) & v1_funct_1(k2_pralg_2(A)) & v1_partfun1(k2_pralg_2(A),k4_card_3(k1_funct_6(A))) & v1_funcop_1(k2_pralg_2(A)) ) ) )).
fof(dt_k2_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) & m1_subset_1(D,A) ) => m2_pboole(k2_pralg_3(A,B,C,D),u1_struct_0(B),u3_msualg_1(B,k14_pralg_2(A,B,C)),u3_msualg_1(B,k5_pralg_2(A,B,C,D))) ) )).
fof(dt_k2_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_pre_ff(A),k4_ordinal1) ) )).
fof(dt_k2_pre_poly,axiom,( ! [A] : ( v1_xboole_0(k2_pre_poly(A)) & m2_finseq_2(k2_pre_poly(A),A,k3_finseq_2(A)) ) )).
fof(dt_k2_pre_topc,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_prefer_1,axiom,( ! [A] : ( v3_prefer_1(k2_prefer_1(A)) & l3_prefer_1(k2_prefer_1(A)) ) )).
fof(dt_k2_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_prelamb(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_prepower,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => v1_xreal_0(k2_prepower(A,B)) ) )).
fof(dt_k2_prgcor_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v1_int_1(k2_prgcor_1(A,B)) ) )).
fof(dt_k2_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k2_prob_1(A,B)) & v1_funct_2(k2_prob_1(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k2_prob_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k2_prob_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_prob_1(k2_prob_2(A,B,C),A,B) ) )).
fof(dt_k2_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k2_prob_3(A,B)) & v1_funct_2(k2_prob_3(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k2_prob_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k2_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ( v1_funct_1(k2_prob_4(A,B,C)) & v1_funct_2(k2_prob_4(A,B,C),B,k6_numbers) & v10_valued_0(k2_prob_4(A,B,C)) & v6_supinf_2(k2_prob_4(A,B,C)) & v4_measure1(k2_prob_4(A,B,C),A,B) & m1_subset_1(k2_prob_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) ) )).
fof(dt_k2_projpl_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & l1_incsp_1(A) & m1_subset_1(B,u2_incsp_1(A)) & m1_subset_1(C,u2_incsp_1(A)) ) => m1_subset_1(k2_projpl_1(A,B,C),u1_incsp_1(A)) ) )).
fof(dt_k2_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v7_ordinal1(C) ) => ( v1_funct_1(k2_prvect_1(A,B,C)) & v1_funct_2(k2_prvect_1(A,B,C),k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)),k4_finseq_2(C,A)) & m1_subset_1(k2_prvect_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)),k4_finseq_2(C,A)))) ) ) )).
fof(dt_k2_prvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & ~ v1_xboole_0(B) & m1_prvect_2(C,A,B) ) => ( v1_funct_1(k2_prvect_2(A,B,C)) & v1_funct_2(k2_prvect_2(A,B,C),k2_zfmisc_1(B,k4_card_3(A)),k4_card_3(A)) & m1_subset_1(k2_prvect_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,k4_card_3(A)),k4_card_3(A)))) ) ) )).
fof(dt_k2_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ( v1_funct_1(k2_prvect_3(A,B)) & v1_funct_2(k2_prvect_3(A,B),k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & m1_subset_1(k2_prvect_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))))) ) ) )).
fof(dt_k2_pscomp_1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => v1_xreal_0(k2_pscomp_1(A,B)) ) )).
fof(dt_k2_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k4_finseq_1(u1_unialg_1(A))) ) => m1_pua2mss1(k2_pua2mss1(A,B),k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) ) )).
fof(dt_k2_pzfmisc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k2_pzfmisc1(A,B,C)) & v4_relat_1(k2_pzfmisc1(A,B,C),A) & v1_funct_1(k2_pzfmisc1(A,B,C)) & v1_partfun1(k2_pzfmisc1(A,B,C),A) ) ) )).
fof(dt_k2_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k2_qc_lang2(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k2_qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_qc_lang1(A)) ) => m2_subset_1(k2_qc_lang3(A,B),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_k2_qc_lang4,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( v1_relat_1(k2_qc_lang4(A,B)) & v5_relat_1(k2_qc_lang4(A,B),k9_qc_lang1(A)) & v1_funct_1(k2_qc_lang4(A,B)) & v1_finset_1(k2_qc_lang4(A,B)) & v3_trees_2(k2_qc_lang4(A,B)) ) ) )).
fof(dt_k2_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) & m1_subset_1(C,k3_qc_lang1(A)) ) => m2_subset_1(k2_qc_trans(A,B,C),k2_qc_lang1(B),k3_qc_lang1(B)) ) )).
fof(dt_k2_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_quantal1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_quatern2,axiom,( m1_subset_1(k2_quatern2,k1_quaterni) )).
fof(dt_k2_quatern3,axiom,( ! [A] : ( m1_subset_1(A,k1_quaterni) => m1_subset_1(k2_quatern3(A),k1_quaterni) ) )).
fof(dt_k2_quaterni,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(I,A) ) => ( v1_funct_1(k2_quaterni(A,B,C,D,E,F,G,H,I)) & v1_funct_2(k2_quaterni(A,B,C,D,E,F,G,H,I),k2_enumset1(B,C,D,E),A) & m1_subset_1(k2_quaterni(A,B,C,D,E,F,G,H,I),k1_zfmisc_1(k2_zfmisc_1(k2_enumset1(B,C,D,E),A))) ) ) )).
fof(dt_k2_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => m2_subset_1(k2_quofield(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) ) )).
fof(dt_k2_radix_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,A) & m1_finseq_1(C,k4_ordinal1) ) => ( v3_card_1(k2_radix_2(A,B,C),A) & m2_finseq_1(k2_radix_2(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k2_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v3_card_1(k2_radix_5(A,B,C),A) & m2_finseq_1(k2_radix_5(A,B,C),k3_radix_1(C)) ) ) )).
fof(dt_k2_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,2)) & m1_finseq_1(C,k3_radix_1(B)) ) => ( v3_card_1(k2_radix_6(A,B,C),k2_xcmplx_0(A,2)) & m2_finseq_1(k2_radix_6(A,B,C),k3_radix_1(B)) ) ) )).
fof(dt_k2_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m2_prob_1(k2_random_1(A),A,k1_random_1(A)) ) )).
fof(dt_k2_random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m2_prob_1(C,A,k1_random_1(A)) & m2_prob_1(D,B,k1_random_1(B)) ) => m2_prob_1(k2_random_2(A,B,C,D),k2_zfmisc_1(A,B),k1_random_1(k2_zfmisc_1(A,B))) ) )).
fof(dt_k2_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_prob_1(E,A,C) & v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m2_prob_1(k2_random_3(A,B,C,D,E,F),B,D) ) )).
fof(dt_k2_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_ranknull(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k2_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => v1_int_1(k2_rat_1(A)) ) )).
fof(dt_k2_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k2_ratfunc1(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => m1_subset_1(k2_rcomp_1(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k2_real_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => m1_subset_1(k2_real_1(A),k1_numbers) ) )).
fof(dt_k2_real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_funct_1(k2_real_3(A,B)) & v1_funct_2(k2_real_3(A,B),k4_ordinal1,k4_ordinal1) & m1_subset_1(k2_real_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) ) )).
fof(dt_k2_real_lat,axiom,( v1_funct_1(k2_real_lat) & v1_funct_2(k2_real_lat,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(k2_real_lat,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) )).
fof(dt_k2_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k2_real_ns1(A)) & v1_funct_2(k2_real_ns1(A),k2_zfmisc_1(k1_numbers,k1_euclid(A)),k1_euclid(A)) & m1_subset_1(k2_real_ns1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)),k1_euclid(A)))) ) ) )).
fof(dt_k2_realset2,axiom,( v1_funct_1(k2_realset2) & v1_funct_2(k2_realset2,k2_zfmisc_1(2,2),2) & m1_subset_1(k2_realset2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(2,2),2))) )).
fof(dt_k2_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k2_realset3(A)) & v1_funct_2(k2_realset3(A),k2_zfmisc_1(u1_struct_0(A),k8_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k2_realset3(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k8_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k2_rearran1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => ( v1_rearran1(k2_rearran1(A,B)) & v2_rearran1(k2_rearran1(A,B)) & v3_rearran1(k2_rearran1(A,B),k1_zfmisc_1(A)) & m2_finseq_1(k2_rearran1(A,B),k1_zfmisc_1(A)) ) ) )).
fof(dt_k2_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => v1_relat_1(k2_relat_1(A)) ) )).
fof(dt_k2_relset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => m1_subset_1(k2_relset_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k2_rewrite2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_rewrite2(B) ) => ( v1_relat_1(k2_rewrite2(A,B)) & v1_funct_1(k2_rewrite2(A,B)) & v1_rewrite2(k2_rewrite2(A,B)) ) ) )).
fof(dt_k2_rewrite3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => m1_subset_1(k2_rewrite3(A,B),k8_afinsq_1(B)) ) )).
fof(dt_k2_rfinseq,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_finseq_1(C,A) ) => m2_finseq_1(k2_rfinseq(A,B,C),A) ) )).
fof(dt_k2_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v7_ordinal1(k2_rfinseq2(A)) ) )).
fof(dt_k2_rfunct_3,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k2_rfunct_3(A)) ) )).
fof(dt_k2_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k2_rinfsup1(A)) ) )).
fof(dt_k2_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => m1_subset_1(k2_rinfsup2(A),k6_numbers) ) )).
fof(dt_k2_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v36_algstr_0(k2_ring_1(A,B)) & l6_algstr_0(k2_ring_1(A,B)) ) ) )).
fof(dt_k2_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => m1_subset_1(k2_ring_2(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( ~ v2_struct_0(k2_ringcat1(A)) & v13_algstr_0(k2_ringcat1(A)) & v2_rlvect_1(k2_ringcat1(A)) & v3_rlvect_1(k2_ringcat1(A)) & v4_rlvect_1(k2_ringcat1(A)) & v3_group_1(k2_ringcat1(A)) & v4_vectsp_1(k2_ringcat1(A)) & v5_vectsp_1(k2_ringcat1(A)) & l6_algstr_0(k2_ringcat1(A)) ) ) )).
fof(dt_k2_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) & v1_xreal_0(C) ) => m1_rlvect_2(k2_rlaffin1(A,B,C),A) ) )).
fof(dt_k2_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k2_rlaffin2(A)) & v1_funct_2(k2_rlaffin2(A),k1_orders_1(u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k2_rlaffin2(A),k1_zfmisc_1(k2_zfmisc_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k2_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k2_rlaffin3(A,B,C)) & v1_funct_2(k2_rlaffin3(A,B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(k2_rlaffin3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k2_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_rlvect_1(k2_rlsub_1(A)) & m1_rlsub_1(k2_rlsub_1(A),A) ) ) )).
fof(dt_k2_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) & m1_rlsub_1(C,A) ) => ( v1_rlvect_1(k2_rlsub_2(A,B,C)) & m1_rlsub_1(k2_rlsub_2(A,B,C),A) ) ) )).
fof(dt_k2_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_rltopsp1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_rlvect_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_rlvect_x(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_rmod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ( v2_vectsp_2(k2_rmod_2(A,B),A) & m1_rmod_2(k2_rmod_2(A,B),A,B) ) ) )).
fof(dt_k2_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) ) => ( v2_vectsp_2(k2_rmod_3(A,B,C,D),A) & m1_rmod_2(k2_rmod_3(A,B,C,D),A,B) ) ) )).
fof(dt_k2_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) ) => ( v1_finset_1(k2_rmod_4(A,B,C)) & m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_k2_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_partfun1(k2_robbins3(A),u1_struct_0(A)) & v1_relat_2(k2_robbins3(A)) & v4_relat_2(k2_robbins3(A)) & v8_relat_2(k2_robbins3(A)) & m1_subset_1(k2_robbins3(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k2_robbins4,axiom,( v4_robbins1(k2_robbins4) & l4_robbins1(k2_robbins4) )).
fof(dt_k2_roughs_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) => m1_subset_1(k2_roughs_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k2_roughs_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_roughs_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_rpr_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => v1_xreal_0(k2_rpr_1(A,B,C)) ) )).
fof(dt_k2_rsspace,axiom,( ! [A] : ( v1_funct_1(k2_rsspace(A)) & v1_funct_2(k2_rsspace(A),k4_ordinal1,k1_numbers) & m1_subset_1(k2_rsspace(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) )).
fof(dt_k2_rsspace3,axiom,( v1_funct_1(k2_rsspace3) & v1_funct_2(k2_rsspace3,k1_rsspace3,k1_numbers) & m1_subset_1(k2_rsspace3,k1_zfmisc_1(k2_zfmisc_1(k1_rsspace3,k1_numbers))) )).
fof(dt_k2_rsspace4,axiom,( v1_funct_1(k2_rsspace4) & v1_funct_2(k2_rsspace4,k1_rsspace4,k1_numbers) & m1_subset_1(k2_rsspace4,k1_zfmisc_1(k2_zfmisc_1(k1_rsspace4,k1_numbers))) )).
fof(dt_k2_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v1_bhsp_1(k2_rusub_1(A)) & m1_rusub_1(k2_rusub_1(A),A) ) ) )).
fof(dt_k2_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) & m1_rusub_1(C,A) ) => ( v1_bhsp_1(k2_rusub_2(A,B,C)) & m1_rusub_1(k2_rusub_2(A,B,C),A) ) ) )).
fof(dt_k2_rusub_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ( v1_bhsp_1(k2_rusub_5(A,B)) & m1_rusub_1(k2_rusub_5(A,B),A) ) ) )).
fof(dt_k2_rvsum_1,axiom,( v1_funct_1(k2_rvsum_1) & v1_funct_2(k2_rvsum_1,k1_numbers,k1_numbers) & m1_subset_1(k2_rvsum_1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k2_rvsum_2,axiom,( v1_funct_1(k2_rvsum_2) & v1_funct_2(k2_rvsum_2,k2_numbers,k2_numbers) & m1_subset_1(k2_rvsum_2,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k2_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => v1_xreal_0(k2_rvsum_3(A)) ) )).
fof(dt_k2_scm_comp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k7_dtconstr(k1_scm_comp)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) & m1_subset_1(C,k4_dtconstr(k1_scm_comp)) ) => m1_dtconstr(k2_scm_comp(A,B,C),u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) ) )).
fof(dt_k2_scmbsort,axiom,( v1_relat_1(k2_scmbsort) & v4_relat_1(k2_scmbsort,k4_ordinal1) & v5_relat_1(k2_scmbsort,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmbsort) & ~ v1_xboole_0(k2_scmbsort) & v1_finset_1(k2_scmbsort) & v1_afinsq_1(k2_scmbsort) )).
fof(dt_k2_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) ) ) )).
fof(dt_k2_scmfsa8a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => v7_ordinal1(k2_scmfsa8a(A,B,C)) ) )).
fof(dt_k2_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k2_scmfsa8b(A,B,C)) & v1_relat_1(k2_scmfsa8b(A,B,C)) & v4_relat_1(k2_scmfsa8b(A,B,C),k4_ordinal1) & v5_relat_1(k2_scmfsa8b(A,B,C),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa8b(A,B,C)) & v1_finset_1(k2_scmfsa8b(A,B,C)) & v1_afinsq_1(k2_scmfsa8b(A,B,C)) ) ) )).
fof(dt_k2_scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => v7_ordinal1(k2_scmfsa9a(A,B,C,D)) ) )).
fof(dt_k2_scmfsa_1,axiom,( m1_subset_1(k2_scmfsa_1,k1_zfmisc_1(k1_scmfsa_1)) )).
fof(dt_k2_scmfsa_2,axiom,( m1_subset_1(k2_scmfsa_2,k1_zfmisc_1(u1_struct_0(k1_scmfsa_2))) )).
fof(dt_k2_scmfsa_7,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_int_1(B) ) => ( v1_relat_1(k2_scmfsa_7(A,B)) & v5_relat_1(k2_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & v5_ordinal1(k2_scmfsa_7(A,B)) & v1_funct_1(k2_scmfsa_7(A,B)) & v1_finset_1(k2_scmfsa_7(A,B)) ) ) )).
fof(dt_k2_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( v1_funct_1(k2_scmfsa_9(A,B,C,D)) & v1_funct_2(k2_scmfsa_9(A,B,C,D),k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(k2_scmfsa_9(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) ) )).
fof(dt_k2_scmfsa_i,axiom,( ~ v1_xboole_0(k2_scmfsa_i) )).
fof(dt_k2_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ( v1_ami_2(k2_scmfsa_m(A)) & m1_subset_1(k2_scmfsa_m(A),u1_struct_0(k1_scmfsa_2)) ) ) )).
fof(dt_k2_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k2_scmfsa_x(A,B)) & v4_relat_1(k2_scmfsa_x(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa_x(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa_x(A,B)) & v1_funct_1(k2_scmfsa_x(A,B)) & v1_finset_1(k2_scmfsa_x(A,B)) & v1_afinsq_1(k2_scmfsa_x(A,B)) ) ) )).
fof(dt_k2_scmisort,axiom,( ! [A] : ( m1_scmfsa_2(A) => ( ~ v1_xboole_0(k2_scmisort(A)) & v1_relat_1(k2_scmisort(A)) & v4_relat_1(k2_scmisort(A),k4_ordinal1) & v5_relat_1(k2_scmisort(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmisort(A)) & v1_finset_1(k2_scmisort(A)) & v1_afinsq_1(k2_scmisort(A)) ) ) )).
fof(dt_k2_scmp_gcd,axiom,( v1_ami_2(k2_scmp_gcd) & m1_subset_1(k2_scmp_gcd,u1_struct_0(k1_scmpds_2)) )).
fof(dt_k2_scmpds_2,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => ( v1_ami_2(k2_scmpds_2(A,B)) & m1_subset_1(k2_scmpds_2(A,B),u1_struct_0(k1_scmpds_2)) ) ) )).
fof(dt_k2_scmpds_4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( v1_relat_1(k2_scmpds_4(A,B)) & v4_relat_1(k2_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k2_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_4(A,B)) & v1_funct_1(k2_scmpds_4(A,B)) & v1_finset_1(k2_scmpds_4(A,B)) & v1_afinsq_1(k2_scmpds_4(A,B)) ) ) )).
fof(dt_k2_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( v1_relat_1(k2_scmpds_6(A,B,C,D)) & v4_relat_1(k2_scmpds_6(A,B,C,D),k4_ordinal1) & v5_relat_1(k2_scmpds_6(A,B,C,D),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_6(A,B,C,D)) & v1_funct_1(k2_scmpds_6(A,B,C,D)) & v1_finset_1(k2_scmpds_6(A,B,C,D)) & v1_afinsq_1(k2_scmpds_6(A,B,C,D)) ) ) )).
fof(dt_k2_scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( v1_relat_1(k2_scmpds_7(A,B,C,D)) & v4_relat_1(k2_scmpds_7(A,B,C,D),k4_ordinal1) & v5_relat_1(k2_scmpds_7(A,B,C,D),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_7(A,B,C,D)) & v1_funct_1(k2_scmpds_7(A,B,C,D)) & v1_finset_1(k2_scmpds_7(A,B,C,D)) & v1_afinsq_1(k2_scmpds_7(A,B,C,D)) ) ) )).
fof(dt_k2_scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( ~ v1_xboole_0(k2_scmpds_8(A,B,C)) & v1_relat_1(k2_scmpds_8(A,B,C)) & v4_relat_1(k2_scmpds_8(A,B,C),k4_ordinal1) & v5_relat_1(k2_scmpds_8(A,B,C),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k2_scmpds_8(A,B,C)) & v1_finset_1(k2_scmpds_8(A,B,C)) & v1_afinsq_1(k2_scmpds_8(A,B,C)) ) ) )).
fof(dt_k2_scmpds_i,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_scm_inst) & v1_int_1(B) ) => m2_finseq_1(k2_scmpds_i(A,B),k2_xboole_0(k2_scm_inst,k4_numbers)) ) )).
fof(dt_k2_scmring1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) ) => m1_subset_1(k2_scmring1(A,B),k4_ordinal1) ) )).
fof(dt_k2_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmring2(A))) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => m1_subset_1(k2_scmring2(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_scmring3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_ami_2(k2_scmring3(A,B)) & m1_subset_1(k2_scmring3(A,B),u1_struct_0(k1_scmring2(A))) ) ) )).
fof(dt_k2_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_scmringi(A)) ) => m1_subset_1(k2_scmringi(A,B),k2_scm_inst) ) )).
fof(dt_k2_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v5_finset_1(A) ) => v7_ordinal1(k2_scmyciel(A)) ) )).
fof(dt_k2_scpinvar,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v1_xboole_0(k2_scpinvar(A)) & v1_relat_1(k2_scpinvar(A)) & v4_relat_1(k2_scpinvar(A),k4_ordinal1) & v5_relat_1(k2_scpinvar(A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k2_scpinvar(A)) & v1_finset_1(k2_scpinvar(A)) & v1_afinsq_1(k2_scpinvar(A)) ) ) )).
fof(dt_k2_scpqsort,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k2_scpqsort(A,B)) & v4_relat_1(k2_scpqsort(A,B),k4_ordinal1) & v5_relat_1(k2_scpqsort(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scpqsort(A,B)) & v1_funct_1(k2_scpqsort(A,B)) & v1_finset_1(k2_scpqsort(A,B)) & v1_afinsq_1(k2_scpqsort(A,B)) ) ) )).
fof(dt_k2_semi_af1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_semi_af1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_seq_4,axiom,( ! [A] : ( v3_membered(A) => v1_xreal_0(k2_seq_4(A)) ) )).
fof(dt_k2_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & v1_xreal_0(C) ) => ( v1_funct_1(k2_seqfunc(A,B,C)) & v1_funct_2(k2_seqfunc(A,B,C),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k2_seqfunc(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k2_series_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_valued_0(A) ) => ( v1_relat_1(k2_series_1(A)) & v4_relat_1(k2_series_1(A),k4_ordinal1) & v1_funct_1(k2_series_1(A)) & v1_partfun1(k2_series_1(A),k4_ordinal1) & v1_valued_0(k2_series_1(A)) ) ) )).
fof(dt_k2_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k2_setlim_1(A,B)) & v1_funct_2(k2_setlim_1(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k2_setlim_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k2_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k2_setlim_2(A,B,C)) & v1_funct_2(k2_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k2_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k2_setwiseo,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k2_setwiseo(A,B),k5_finsub_1(A)) ) )).
fof(dt_k2_setwop_2,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_setwop_2(A),k5_finsub_1(k4_ordinal1)) ) )).
fof(dt_k2_sf_mastr,axiom,( ! [A] : m1_subset_1(k2_sf_mastr(A),k1_zfmisc_1(k2_scmfsa_2)) )).
fof(dt_k2_sfmastr2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k2_sfmastr2(A,B)) & v4_relat_1(k2_sfmastr2(A,B),k4_ordinal1) & v5_relat_1(k2_sfmastr2(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_sfmastr2(A,B)) & v1_funct_1(k2_sfmastr2(A,B)) & v1_finset_1(k2_sfmastr2(A,B)) & v1_afinsq_1(k2_sfmastr2(A,B)) & v3_compos_1(k2_sfmastr2(A,B),k1_scmfsa_2) & v4_compos_1(k2_sfmastr2(A,B),k1_scmfsa_2) ) ) )).
fof(dt_k2_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( v1_relat_1(k2_sfmastr3(A,B,C,D)) & v4_relat_1(k2_sfmastr3(A,B,C,D),k4_ordinal1) & v5_relat_1(k2_sfmastr3(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_sfmastr3(A,B,C,D)) & ~ v1_xboole_0(k2_sfmastr3(A,B,C,D)) & v1_finset_1(k2_sfmastr3(A,B,C,D)) & v1_afinsq_1(k2_sfmastr3(A,B,C,D)) & v3_compos_1(k2_sfmastr3(A,B,C,D),k1_scmfsa_2) & v4_compos_1(k2_sfmastr3(A,B,C,D),k1_scmfsa_2) ) ) )).
fof(dt_k2_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => m1_subset_1(k2_sheffer1(A),u1_struct_0(A)) ) )).
fof(dt_k2_simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_classes1(k2_simplex0(A,B)) & m1_subset_1(k2_simplex0(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k2_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & m1_simplex0(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => m1_subset_1(k2_simplex1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_simplex2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_simplex0(B,u1_struct_0(k15_euclid(A))) ) => v1_xreal_0(k2_simplex2(A,B)) ) )).
fof(dt_k2_sin_cos,axiom,( v1_funct_1(k2_sin_cos) & v1_funct_2(k2_sin_cos,k4_ordinal1,k1_numbers) & m1_subset_1(k2_sin_cos,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k2_sin_cos3,axiom,( v1_funct_1(k2_sin_cos3) & v1_funct_2(k2_sin_cos3,k2_numbers,k2_numbers) & m1_subset_1(k2_sin_cos3,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k2_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k2_sin_cos4(A)) ) )).
fof(dt_k2_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k2_sin_cos5(A)) ) )).
fof(dt_k2_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k2_sin_cos7(A)) ) )).
fof(dt_k2_sin_cos9,axiom,( v1_funct_1(k2_sin_cos9) & m1_subset_1(k2_sin_cos9,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k2_sincos10,axiom,( v1_funct_1(k2_sincos10) & m1_subset_1(k2_sincos10,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k2_square_1,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => m1_subset_1(k2_square_1(A),k2_numbers) ) )).
fof(dt_k2_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_finseq_1(C,A) ) => m2_finseq_2(k2_stacks_1(A,B,C),A,k3_finseq_2(A)) ) )).
fof(dt_k2_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,A,k5_card_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_card_1(B)))) ) => m1_subset_1(k2_stirl2_1(A,B,C,D),k5_card_1(B)) ) )).
fof(dt_k2_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => m1_subset_1(k2_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_sublemma,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) ) => m2_subset_1(k2_sublemma(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k2_subset_1,axiom,( ! [A] : m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A)) )).
fof(dt_k2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_substlat(A,B)) & m1_subset_1(D,k1_substlat(A,B)) ) => m1_subset_1(k2_substlat(A,B,C,D),k5_finsub_1(k4_partfun1(A,B))) ) )).
fof(dt_k2_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_substut1(A)) ) => ( v1_funct_1(k2_substut1(A,B)) & m1_subset_1(k2_substut1(A,B),k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),k3_qc_lang1(A)))) ) ) )).
fof(dt_k2_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k1_substut1(A)) ) => m2_subset_1(k2_substut2(A,B,C),k16_substut1(A),k38_substut1(A)) ) )).
fof(dt_k2_supinf_1,axiom,( m1_subset_1(k2_supinf_1,k6_numbers) )).
fof(dt_k2_supinf_2,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => m1_subset_1(k2_supinf_2(A),k6_numbers) ) )).
fof(dt_k2_symsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) ) => m1_subset_1(k2_symsp_1(A,B,C,D,E,F),u1_struct_0(A)) ) )).
fof(dt_k2_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k2_t_0topsp(A)) & m1_eqrel_1(k2_t_0topsp(A),u1_struct_0(A)) ) ) )).
fof(dt_k2_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_pre_topc(k2_t_1topsp(A)) & l1_pre_topc(k2_t_1topsp(A)) ) ) )).
fof(dt_k2_taxonom1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => m1_subset_1(k2_taxonom1(A,B),k1_zfmisc_1(k1_partit1(A))) ) )).
fof(dt_k2_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k2_taylor_1(A)) & m1_subset_1(k2_taylor_1(A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k2_tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xreal_0(k2_tbsp_1(A,B)) ) )).
fof(dt_k2_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_analoaf(k2_tdgroup(A)) & l1_analoaf(k2_tdgroup(A)) ) ) )).
fof(dt_k2_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k2_tdlat_1(A)) & v1_funct_2(k2_tdlat_1(A),k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)) & m1_subset_1(k2_tdlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)))) ) ) )).
fof(dt_k2_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( v1_relat_1(k2_termord(A,B,C,D)) & v4_relat_1(k2_termord(A,B,C,D),A) & v1_funct_1(k2_termord(A,B,C,D)) & v1_partfun1(k2_termord(A,B,C,D),A) & v4_valued_0(k2_termord(A,B,C,D)) & v2_pre_poly(k2_termord(A,B,C,D)) ) ) )).
fof(dt_k2_tex_1,axiom,( ! [A] : l1_pre_topc(k2_tex_1(A)) )).
fof(dt_k2_tex_4,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => ( v3_pre_topc(k2_tietze_2(A,B,C),k15_euclid(A)) & m1_subset_1(k2_tietze_2(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) ) )).
fof(dt_k2_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & l1_struct_0(D) ) => ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(k2_tmap_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) ) )).
fof(dt_k2_toler_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_relat_2(k2_toler_1(A,B,C)) & v3_relat_2(k2_toler_1(A,B,C)) & v1_partfun1(k2_toler_1(A,B,C),C) & m1_subset_1(k2_toler_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(C,C))) ) ) )).
fof(dt_k2_topalg_2,axiom,( v2_topalg_2(k2_topalg_2) & m1_pre_topc(k2_topalg_2,k3_topmetr) )).
fof(dt_k2_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,C,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_borsuk_2(k2_topalg_3(A,B,C,D,E),B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,C)) ) )).
fof(dt_k2_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( v1_funct_1(k2_topalg_4(A,B,C,D,E)) & v1_funct_2(k2_topalg_4(A,B,C,D,E),u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))) & m1_subset_1(k2_topalg_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))))) ) ) )).
fof(dt_k2_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => m1_borsuk_2(k2_topalg_5(A),k2_topalg_2,k4_toprealb(k5_numbers),k4_toprealb(A)) ) )).
fof(dt_k2_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v5_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) ) => m1_subset_1(k2_topalg_6(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k2_topalg_7(A,B,C,D)) & v1_funct_2(k2_topalg_7(A,B,C,D),A,u1_struct_0(B)) & m1_subset_1(k2_topalg_7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k2_topdim_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_int_1(k2_topdim_1(A,B)) ) )).
fof(dt_k2_topgen_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_topgen_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => v1_card_1(k2_topgen_2(A)) ) )).
fof(dt_k2_topgen_3,axiom,( ~ v2_struct_0(k2_topgen_3) & v1_pre_topc(k2_topgen_3) & v2_pre_topc(k2_topgen_3) & l1_pre_topc(k2_topgen_3) )).
fof(dt_k2_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_subset_1(k2_topgen_4(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k2_topgen_5,axiom,( m1_subset_1(k2_topgen_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(dt_k2_topgen_6,axiom,( m1_subset_1(k2_topgen_6,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k2_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k2_topgrp_1(A,B)) & v1_funct_2(k2_topgrp_1(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k2_topgrp_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k2_topmetr,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ~ v2_struct_0(k2_topmetr(A,B)) & v1_metric_1(k2_topmetr(A,B)) & m1_topmetr(k2_topmetr(A,B),k7_metric_1) ) ) )).
fof(dt_k2_topreal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_finseq_1(B,u1_struct_0(k15_euclid(A))) & v7_ordinal1(C) ) => m1_subset_1(k2_topreal1(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k2_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k2_topreal7(A,B,C,D),u1_struct_0(k1_topreal7(A,B))) ) )).
fof(dt_k2_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k2_topreal9(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k2_topreala,axiom,( v1_funct_1(k2_topreala) & v1_funct_2(k2_topreala,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k2_topreala,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k15_euclid(2))))) )).
fof(dt_k2_toprealc,axiom,( ! [A] : ( v1_valued_2(A) => v1_valued_2(k2_toprealc(A)) ) )).
fof(dt_k2_toprns_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(B))))) ) => ( v1_funct_1(k2_toprns_1(A,B,C)) & v1_funct_2(k2_toprns_1(A,B,C),k4_ordinal1,u1_struct_0(k15_euclid(B))) & m1_subset_1(k2_toprns_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(B))))) ) ) )).
fof(dt_k2_tops_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_tops_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k2_tops_2(A,B,C)) & v1_funct_2(k2_tops_2(A,B,C),B,A) & m1_subset_1(k2_tops_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k2_transgeo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k2_transgeo(A,B,C)) & v1_funct_2(k2_transgeo(A,B,C),A,A) & v3_funct_2(k2_transgeo(A,B,C),A,A) & m1_subset_1(k2_transgeo(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k2_treal_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k2_treal_1(A,B),u1_struct_0(k4_topmetr(A,B))) ) )).
fof(dt_k2_trees_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k2_trees_1(A)) & v1_trees_1(k2_trees_1(A)) ) ) )).
fof(dt_k2_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v7_ordinal1(B) ) => m2_trees_2(k2_trees_2(A,B),A) ) )).
fof(dt_k2_trees_3,axiom,( m1_subset_1(k2_trees_3,k1_zfmisc_1(k1_trees_3)) )).
fof(dt_k2_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k2_trees_4(A,B),k5_trees_3(A)) ) )).
fof(dt_k2_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v3_trees_9(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k2_trees_9(A,B)) & v1_funct_1(k2_trees_9(A,B)) & v1_finseq_1(k2_trees_9(A,B)) ) ) )).
fof(dt_k2_trees_a,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_subset_1(B,A) ) => m4_trees_1(k2_trees_a(A,B),A) ) )).
fof(dt_k2_tsep_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( ~ v2_struct_0(k2_tsep_1(A,B,C)) & v1_pre_topc(k2_tsep_1(A,B,C)) & m1_pre_topc(k2_tsep_1(A,B,C),A) ) ) )).
fof(dt_k2_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) ) => ( v1_funct_1(k2_turing_1(A,B,C,D)) & m1_subset_1(k2_turing_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k2_twoscomp,axiom,( v1_funct_1(k2_twoscomp) & v1_funct_2(k2_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k2_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k2_unialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_unialg_2(A)) ) => ( ~ v1_xboole_0(k2_unialg_2(A,B,C)) & v1_funct_1(k2_unialg_2(A,B,C)) & v2_margrel1(k2_unialg_2(A,B,C)) & v3_margrel1(k2_unialg_2(A,B,C),B) & m1_subset_1(k2_unialg_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B),B))) ) ) )).
fof(dt_k2_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => m1_subset_1(k2_uniroots(A),k1_zfmisc_1(u1_struct_0(k1_complfld))) ) )).
fof(dt_k2_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) ) => v1_xreal_0(k2_uproots(A,B)) ) )).
fof(dt_k2_urysohn1,axiom,( m1_subset_1(k2_urysohn1,k1_zfmisc_1(k1_numbers)) )).
fof(dt_k2_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_urysohn3(D,A,B,C) ) => ( v1_funct_1(k2_urysohn3(A,B,C,D)) & v1_funct_2(k2_urysohn3(A,B,C,D),k3_urysohn1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k2_urysohn3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_urysohn1,k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k2_valuat_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) ) => m1_funct_2(k2_valuat_1(A,B),k3_qc_lang1(A),B) ) )).
fof(dt_k2_valued_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & v5_valued_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => m2_valued_0(k2_valued_0(A,B,C),A,C) ) )).
fof(dt_k2_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k2_valued_1(A,B,C,D,E)) & m1_subset_1(k2_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k2_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => m1_subset_1(k2_vectmetr(A),k1_zfmisc_1(k9_funct_2(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k2_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( ~ v1_xboole_0(k2_vectsp10(A,B,C)) & m1_subset_1(k2_vectsp10(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) ) )).
fof(dt_k2_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( v7_vectsp_1(k2_vectsp11(A,B,C),A) & m1_vectsp_4(k2_vectsp11(A,B,C),A,B) ) ) )).
fof(dt_k2_vectsp_1,axiom,( v36_algstr_0(k2_vectsp_1) & l6_algstr_0(k2_vectsp_1) )).
fof(dt_k2_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k2_vectsp_2(A)) & v13_algstr_0(k2_vectsp_2(A)) & v7_vectsp_1(k2_vectsp_2(A),A) & v2_rlvect_1(k2_vectsp_2(A)) & v3_rlvect_1(k2_vectsp_2(A)) & v4_rlvect_1(k2_vectsp_2(A)) & l1_vectsp_1(k2_vectsp_2(A),A) ) ) )).
fof(dt_k2_vectsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v7_vectsp_1(k2_vectsp_4(A,B),A) & m1_vectsp_4(k2_vectsp_4(A,B),A,B) ) ) )).
fof(dt_k2_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) ) => ( v7_vectsp_1(k2_vectsp_5(A,B,C,D),A) & m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,B) ) ) )).
fof(dt_k2_vectsp_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => m1_vectsp_6(k2_vectsp_6(A,B),A,B) ) )).
fof(dt_k2_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( ~ v1_xboole_0(k2_vectsp_8(A,B)) & m1_vectsp_8(k2_vectsp_8(A,B),A,B) ) ) )).
fof(dt_k2_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k2_vfunct_1(A,B,C,D)) & m1_subset_1(k2_vfunct_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k2_vfunct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k2_vfunct_2(A,B,C,D)) & m1_subset_1(k2_vfunct_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k2_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k2_vsdiff_1(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k2_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k2_waybel10(A)) & v1_orders_2(k2_waybel10(A)) & v4_yellow_0(k2_waybel10(A),k6_yellow_1(A,A)) & m1_yellow_0(k2_waybel10(A),k6_yellow_1(A,A)) ) ) )).
fof(dt_k2_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => m4_yellow_6(k2_waybel11(A),A) ) )).
fof(dt_k2_waybel17,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( v1_orders_2(k2_waybel17(A,B)) & v4_yellow_0(k2_waybel17(A,B),k6_yellow_1(A,B)) & m1_yellow_0(k2_waybel17(A,B),k6_yellow_1(A,B)) ) ) )).
fof(dt_k2_waybel18,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_waybel18(B) ) => m1_subset_1(k2_waybel18(A,B),k1_zfmisc_1(k1_zfmisc_1(k4_card_3(k12_pralg_1(A,B))))) ) )).
fof(dt_k2_waybel19,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(k2_waybel19(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k2_waybel20,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => ( v1_partfun1(k2_waybel20(A,B),u1_struct_0(A)) & v3_relat_2(k2_waybel20(A,B)) & v8_relat_2(k2_waybel20(A,B)) & m1_subset_1(k2_waybel20(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k2_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_waybel22(A,B,C)) & v1_funct_2(k2_waybel22(A,B,C),u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B)) & m1_subset_1(k2_waybel22(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B)))) ) ) )).
fof(dt_k2_waybel23,axiom,( ! [A] : ( l1_pre_topc(A) => v1_card_1(k2_waybel23(A)) ) )).
fof(dt_k2_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k2_waybel24(A,B,C,D,E)) & v1_funct_2(k2_waybel24(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(k2_waybel24(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) )).
fof(dt_k2_waybel25,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & l1_orders_2(C) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,C) & m1_subset_1(E,A) ) => ( ~ v2_struct_0(k2_waybel25(A,B,C,D,E)) & v4_orders_2(k2_waybel25(A,B,C,D,E)) & v6_waybel_0(k2_waybel25(A,B,C,D,E),B) & v7_waybel_0(k2_waybel25(A,B,C,D,E)) & l1_waybel_0(k2_waybel25(A,B,C,D,E),B) ) ) )).
fof(dt_k2_waybel26,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_waybel26(A,B)))) ) => m1_subset_1(k2_waybel26(A,B,C,D),k1_zfmisc_1(u1_struct_0(k1_waybel25(B)))) ) )).
fof(dt_k2_waybel27,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k2_waybel27(A,B)) & l1_orders_2(k2_waybel27(A,B)) ) ) )).
fof(dt_k2_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_waybel28(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( v6_waybel_0(k2_waybel28(A,B,C),A) & m2_yellow_6(k2_waybel28(A,B,C),A,B) ) ) )).
fof(dt_k2_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_waybel29(A,B,C)) & v1_funct_2(k2_waybel29(A,B,C),u1_struct_0(k1_waybel29(A)),u1_struct_0(k1_waybel29(B))) & m1_subset_1(k2_waybel29(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel29(A)),u1_struct_0(k1_waybel29(B))))) ) ) )).
fof(dt_k2_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_waybel31(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ~ v2_struct_0(k2_waybel32(A,B)) & v6_waybel_0(k2_waybel32(A,B),A) & v7_waybel_0(k2_waybel32(A,B)) & l1_waybel_0(k2_waybel32(A,B),A) ) ) )).
fof(dt_k2_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k2_waybel34(A,B,C)) & v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k2_waybel34(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k2_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(k2_waybel_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_waybel_1(A,B,C)) & v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k1_yellow_2(A,B,C))) & m1_subset_1(k2_waybel_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_2(A,B,C))))) ) ) )).
fof(dt_k2_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(k2_waybel_2(A,B,C)) & v7_waybel_0(k2_waybel_2(A,B,C)) & l1_waybel_0(k2_waybel_2(A,B,C),A) ) ) )).
fof(dt_k2_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_waybel_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(k2_waybel_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k2_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,C,k7_funcop_1(A,B)) ) => m2_pboole(k2_waybel_5(A,B,C,D),k4_card_3(k1_funct_6(D)),k7_funcop_1(k4_card_3(k1_funct_6(D)),A),k7_funcop_1(k4_card_3(k1_funct_6(D)),B)) ) )).
fof(dt_k2_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(k2_waybel_6(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_waybel_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k2_waybel_8(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => ( v6_waybel_0(k2_waybel_9(A),A) & l1_waybel_0(k2_waybel_9(A),A) ) ) )).
fof(dt_k2_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k2_weddwitt(A,B)) & v1_funct_2(k2_weddwitt(A,B),u1_struct_0(A),k7_group_3(A,B)) & m1_subset_1(k2_weddwitt(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k7_group_3(A,B)))) ) ) )).
fof(dt_k2_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => v1_xreal_0(k2_weierstr(A)) ) )).
fof(dt_k2_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => v1_relat_1(k2_wellord1(A,B)) ) )).
fof(dt_k2_wellord2,axiom,( ! [A] : ( v1_relat_1(A) => v3_ordinal1(k2_wellord2(A)) ) )).
fof(dt_k2_wsierp_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m1_subset_1(k2_wsierp_1(A),k4_ordinal1) ) )).
fof(dt_k2_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => v1_xxreal_0(k2_xxreal_2(A)) ) )).
fof(dt_k2_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => v1_xxreal_0(k2_xxreal_3(A)) ) )).
fof(dt_k2_yellow11,axiom,( l1_orders_2(k2_yellow11) )).
fof(dt_k2_yellow14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k3_waybel18(A,k7_funcop_1(A,B)))) & m1_subset_1(D,A) ) => m1_subset_1(k2_yellow14(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k2_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_subset_1(k2_yellow15(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k2_yellow16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(k2_yellow16(A,B,C)) & v3_orders_2(k2_yellow16(A,B,C)) & v4_orders_2(k2_yellow16(A,B,C)) & v5_orders_2(k2_yellow16(A,B,C)) & l1_orders_2(k2_yellow16(A,B,C)) ) ) )).
fof(dt_k2_yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( v9_functor0(k2_yellow18(A,B),A,B) & v16_functor0(k2_yellow18(A,B),A,B) & m2_functor0(k2_yellow18(A,B),A,B) ) ) )).
fof(dt_k2_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(k2_yellow19(A,B),k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) )).
fof(dt_k2_yellow20,axiom,( ! [A] : ! [B] : ( ( l2_altcat_1(A) & l2_altcat_1(B) ) => ( v6_altcat_1(k2_yellow20(A,B)) & l2_altcat_1(k2_yellow20(A,B)) ) ) )).
fof(dt_k2_yellow_0,axiom,( ! [A] : ! [B] : ( l1_orders_2(A) => m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k2_yellow_1,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)) ) )).
fof(dt_k2_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k2_yellow_2(A)) & v1_funct_2(k2_yellow_2(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)) & m1_subset_1(k2_yellow_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)))) ) ) )).
fof(dt_k2_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => m1_subset_1(k2_yellow_3(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) ) )).
fof(dt_k2_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k2_yellow_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k2_yellow_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k2_yellow_5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k2_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v6_waybel_0(k2_yellow_6(A,B,C),B) & l1_waybel_0(k2_yellow_6(A,B,C),B) ) ) )).
fof(dt_k2_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k2_yellow_9(A,B)) & v6_waybel_0(k2_yellow_9(A,B),A) & l1_waybel_0(k2_yellow_9(A,B),A) ) ) )).
fof(dt_k2_yoneda_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m2_cat_1(k2_yoneda_1(A,B),A,k1_yoneda_1(A)) ) )).
fof(dt_k2_zf_fund1,axiom,( v1_funct_1(k2_zf_fund1) & v1_funct_2(k2_zf_fund1,k4_ordinal1,k1_zf_lang) & m1_subset_1(k2_zf_fund1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zf_lang))) )).
fof(dt_k2_zf_lang,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => m2_subset_1(k2_zf_lang(A),k4_ordinal1,k1_zf_lang) ) )).
fof(dt_k2_zf_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) & m1_subset_1(C,k1_zf_lang) & m1_subset_1(D,A) ) => ( v1_funct_1(k2_zf_lang1(A,B,C,D)) & v1_funct_2(k2_zf_lang1(A,B,C,D),k1_zf_lang,A) & m1_subset_1(k2_zf_lang1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) ) )).
fof(dt_k2_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k2_zf_model(A),k1_zfmisc_1(k1_zf_lang)) ) )).
fof(dt_k2_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) & ~ v1_xboole_0(B) & v1_classes2(B) & v3_ordinal1(C) & m1_subset_1(C,B) ) => ( v3_ordinal1(k2_zf_refle(A,B,C)) & m1_subset_1(k2_zf_refle(A,B,C),B) ) ) )).
fof(dt_k2_zfmodel1,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k2_zfmodel1(A,B)) & v1_funct_2(k2_zfmodel1(A,B),B,B) & m1_subset_1(k2_zfmodel1(A,B),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) )).
fof(dt_k2_zfrefle1,axiom,( m1_subset_1(k2_zfrefle1,k1_zfmisc_1(k8_zf_lang)) )).
fof(dt_k2_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_int_1(B) ) => m2_subset_1(k2_zmodul02(A,B),u1_struct_0(A),k1_zmodul02(A,B)) ) )).
fof(dt_k2_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k2_zmodul04(A)) & v1_funct_2(k2_zmodul04(A),k2_zfmisc_1(k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) & m1_subset_1(k2_zmodul04(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))))) ) ) )).
fof(dt_k2_zmodul05,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_numbers)) ) => m1_subset_1(k2_zmodul05(A),k4_numbers) ) )).
fof(dt_k30_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => m1_subset_1(k30_abcmiz_1(A,B,C),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) )).
fof(dt_k30_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) => m1_msafree4(k30_aofa_a00(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) )).
fof(dt_k30_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k30_cat_4(A,B),A,k20_cat_4(A,B,B),B) ) )).
fof(dt_k30_descip_1,axiom,( ! [A] : ( m1_subset_1(A,k4_finseq_2(48,k5_margrel1)) => m2_finseq_2(k30_descip_1(A),k4_finseq_2(6,k5_margrel1),k4_finseq_2(8,k4_finseq_2(6,k5_margrel1))) ) )).
fof(dt_k30_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m1_subset_1(k30_fomodel1(A,B),k4_numbers) ) )).
fof(dt_k30_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k30_fomodel2(A),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k30_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k30_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k30_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k30_gfacirc1(A,B,C),k29_gfacirc1(A,B,C)) & v4_msafree2(k30_gfacirc1(A,B,C),k29_gfacirc1(A,B,C)) & v4_circcomb(k30_gfacirc1(A,B,C),k29_gfacirc1(A,B,C)) & v6_circcomb(k30_gfacirc1(A,B,C),k29_gfacirc1(A,B,C)) & l3_msualg_1(k30_gfacirc1(A,B,C),k29_gfacirc1(A,B,C)) ) )).
fof(dt_k30_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => v1_card_1(k30_glib_000(A,B)) ) )).
fof(dt_k30_mmlquery,axiom,( ! [A] : ! [B] : ( ( l1_mmlquery(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k30_mmlquery(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k30_modelc_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => m1_subset_1(k30_modelc_2(A,B),k30_modelc_1(k25_modelc_2(A))) ) )).
fof(dt_k30_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k30_modelc_3(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k23_modelc_3(A),k43_modelc_2),k23_modelc_3(A)))) ) )).
fof(dt_k30_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_subset_1(k30_osafree(A,B),k1_zfmisc_1(k4_dtconstr(k2_osafree(A,B)))) ) )).
fof(dt_k30_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_qc_lang1(A)) & v7_ordinal1(C) ) => m1_subset_1(k30_qc_lang1(A,B,C),k1_qc_lang1(A)) ) )).
fof(dt_k30_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m2_subset_1(k30_substut1(A,B),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_k30_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & l1_turing_1(B) ) => ( v1_funct_1(k30_turing_1(A,B)) & v1_funct_2(k30_turing_1(A,B),k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B))),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(k30_turing_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B))),k3_zfmisc_1(k20_turing_1(A,B),k2_xboole_0(u1_turing_1(A),u1_turing_1(B)),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) ) ) )).
fof(dt_k30_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k30_valued_1(A)) & v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A)) ) ) )).
fof(dt_k30_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k30_valued_2(A,B,C)) & v1_funct_1(k30_valued_2(A,B,C)) ) ) )).
fof(dt_k30_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k30_zmodul02(A)) & v1_funct_2(k30_zmodul02(A),k2_zfmisc_1(k4_numbers,k26_zmodul02(A)),k26_zmodul02(A)) & m1_subset_1(k30_zmodul02(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k26_zmodul02(A)),k26_zmodul02(A)))) ) ) )).
fof(dt_k31_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => m1_subset_1(k31_abcmiz_1(A,B,C,D),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) )).
fof(dt_k31_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) => m1_msafree4(k31_aofa_a00(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) )).
fof(dt_k31_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & v1_int_1(F) ) => m3_aofa_i00(k31_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k31_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_cat_1(F,A,B,D) & m1_cat_1(G,A,C,E) ) => m1_cat_1(k31_cat_4(A,B,C,D,E,F,G),A,k20_cat_4(A,B,C),k20_cat_4(A,D,E)) ) )).
fof(dt_k31_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => m1_subset_1(k31_fomodel0(A,B),k1_zfmisc_1(k2_xboole_0(A,B))) ) )).
fof(dt_k31_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k31_fomodel2(A),k1_fomodel1(A)) ) )).
fof(dt_k31_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v7_ordinal1(D) & m1_subset_1(E,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) ) => m2_funct_2(k31_fomodel3(A,B,C,D,E),k30_fomodel2(A),k30_fomodel2(A),k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) ) )).
fof(dt_k31_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k31_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k31_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k31_gfacirc1(A,B,C)) & ~ v11_struct_0(k31_gfacirc1(A,B,C)) & v1_msualg_1(k31_gfacirc1(A,B,C)) & v1_circcomb(k31_gfacirc1(A,B,C)) & v2_circcomb(k31_gfacirc1(A,B,C)) & v3_circcomb(k31_gfacirc1(A,B,C)) & l1_msualg_1(k31_gfacirc1(A,B,C)) ) )).
fof(dt_k31_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => v1_card_1(k31_glib_000(A,B)) ) )).
fof(dt_k31_mmlquery,axiom,( ! [A] : ! [B] : ( ( l1_mmlquery(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k31_mmlquery(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k31_modelc_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k31_modelc_1(A,B)) & v1_funct_2(k31_modelc_1(A,B),A,k5_margrel1) & m1_subset_1(k31_modelc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k31_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k31_modelc_2(A)) & v1_funct_2(k31_modelc_2(A),k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k31_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) ) )).
fof(dt_k31_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k31_modelc_3(A),k1_zfmisc_1(k23_modelc_3(A))) ) )).
fof(dt_k31_qc_lang1,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(A) => m1_subset_1(k31_qc_lang1(A,B),k1_qc_lang1(A)) ) )).
fof(dt_k31_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k31_substut1(A,B),k16_substut1(A)) ) )).
fof(dt_k31_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & l1_turing_1(B) ) => ( v1_turing_1(k31_turing_1(A,B)) & l1_turing_1(k31_turing_1(A,B)) ) ) )).
fof(dt_k31_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k31_valued_1(A,B,C)) & m1_subset_1(k31_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k31_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k31_valued_2(A,B,C,D)) & m1_subset_1(k31_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k31_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => l1_zmodul01(k31_zmodul02(A)) ) )).
fof(dt_k32_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => m2_abcmiz_1(k32_abcmiz_1(A),A,k13_abcmiz_1(A)) ) )).
fof(dt_k32_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) => m1_msafree4(k32_aofa_a00(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),u8_aofa_a00(A))) ) )).
fof(dt_k32_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m3_aofa_i00(k32_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k32_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k32_fomodel1(A),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k32_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => m1_subset_1(k32_fomodel2(A,B),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k32_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & m1_subset_1(D,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) ) => ( v1_funct_1(k32_fomodel3(A,B,C,D)) & v1_funct_2(k32_fomodel3(A,B,C,D),k4_ordinal1,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) & m1_subset_1(k32_fomodel3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))))) ) ) )).
fof(dt_k32_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k32_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k32_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k32_gfacirc1(A,B,C),k31_gfacirc1(A,B,C)) & v4_msafree2(k32_gfacirc1(A,B,C),k31_gfacirc1(A,B,C)) & v4_circcomb(k32_gfacirc1(A,B,C),k31_gfacirc1(A,B,C)) & v6_circcomb(k32_gfacirc1(A,B,C),k31_gfacirc1(A,B,C)) & l3_msualg_1(k32_gfacirc1(A,B,C),k31_gfacirc1(A,B,C)) ) )).
fof(dt_k32_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k32_glib_000(A,B),k4_ordinal1) ) )).
fof(dt_k32_mmlquery,axiom,( ! [A] : ! [B] : ( ( l1_mmlquery(A) & m1_finseq_1(B,u1_mmlquery(A)) ) => m1_subset_1(k32_mmlquery(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k32_modelc_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => m1_subset_1(k32_modelc_1(A,B),k30_modelc_1(A)) ) )).
fof(dt_k32_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k25_modelc_2(A),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A),k5_margrel1))) ) => m1_subset_1(k32_modelc_2(A,B,C),k5_margrel1) ) )).
fof(dt_k32_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => m1_subset_1(k32_modelc_3(A,B),k1_zfmisc_1(k23_modelc_3(A))) ) )).
fof(dt_k32_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k32_substut1(A,B),k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) ) )).
fof(dt_k32_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k32_valued_1(A,B,C)) & m1_subset_1(k32_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k32_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k32_valued_2(A,B,C,D)) & m1_subset_1(k32_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k33_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => m2_abcmiz_1(k33_abcmiz_1(A),A,k12_abcmiz_1(A)) ) )).
fof(dt_k33_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),C)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),C)) ) => m1_subset_1(k33_aofa_a00(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,B),C)) ) )).
fof(dt_k33_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m3_aofa_i00(k33_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k33_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(k33_fomodel1(A,B),k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k29_fomodel1(A))) ) )).
fof(dt_k33_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => m1_subset_1(k33_fomodel2(A,B),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k33_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_funct_1(k33_fomodel3(A,B,C)) & v1_funct_2(k33_fomodel3(A,B,C),k32_fomodel1(A),k32_fomodel1(A)) & m1_subset_1(k33_fomodel3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k32_fomodel1(A),k32_fomodel1(A)))) ) ) )).
fof(dt_k33_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k33_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k33_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k33_gfacirc1(A,B,C),u1_struct_0(k31_gfacirc1(A,B,C)),k3_msafree2(k31_gfacirc1(A,B,C))) )).
fof(dt_k33_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k33_glib_000(A,B),k4_ordinal1) ) )).
fof(dt_k33_mmlquery,axiom,( ! [A] : ! [B] : ( ( l1_mmlquery(A) & m1_finseq_1(B,u1_mmlquery(A)) ) => m1_subset_1(k33_mmlquery(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k33_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k33_modelc_1(A)) & v1_funct_2(k33_modelc_1(A),k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(k33_modelc_1(A),k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) ) )).
fof(dt_k33_modelc_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => m1_subset_1(k33_modelc_2(A,B),k30_modelc_1(k25_modelc_2(A))) ) )).
fof(dt_k33_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k33_modelc_3(A),k1_zfmisc_1(k1_zfmisc_1(k23_modelc_3(A)))) ) )).
fof(dt_k33_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) ) => m1_subset_1(k33_substut1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k33_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_zmodul01(k33_zmodul02(A,B)) & m1_zmodul01(k33_zmodul02(A,B),A) ) ) )).
fof(dt_k34_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => m1_subset_1(k34_abcmiz_1(A),k1_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))))) ) )).
fof(dt_k34_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),C)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),C)) ) => m1_subset_1(k34_aofa_a00(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,B),C)) ) )).
fof(dt_k34_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m3_aofa_i00(k34_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k34_descip_1,axiom,( v1_funct_1(k34_descip_1) & v1_funct_2(k34_descip_1,k2_zfmisc_1(k4_finseq_2(32,k5_margrel1),k4_finseq_2(48,k5_margrel1)),k4_finseq_2(32,k5_margrel1)) & m1_subset_1(k34_descip_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32,k5_margrel1),k4_finseq_2(48,k5_margrel1)),k4_finseq_2(32,k5_margrel1)))) )).
fof(dt_k34_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v15_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v3_card_1(k34_fomodel1(A,B),k1_int_2(k19_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)))) & m2_subset_1(k34_fomodel1(A,B),k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k29_fomodel1(A))) ) ) )).
fof(dt_k34_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_fomodel2(A,B)) & v4_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) & m1_subset_1(E,B) ) => m2_subset_1(k34_fomodel2(A,B,C,D,E),k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) ) )).
fof(dt_k34_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_relat_1(k34_fomodel3(A,B,C)) & v1_funct_1(k34_fomodel3(A,B,C)) ) ) )).
fof(dt_k34_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k34_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k34_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k34_gfacirc1(A,B,C)) & ~ v11_struct_0(k34_gfacirc1(A,B,C)) & v1_msualg_1(k34_gfacirc1(A,B,C)) & v1_circcomb(k34_gfacirc1(A,B,C)) & v2_circcomb(k34_gfacirc1(A,B,C)) & v3_circcomb(k34_gfacirc1(A,B,C)) & l1_msualg_1(k34_gfacirc1(A,B,C)) ) )).
fof(dt_k34_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => v1_card_1(k34_glib_000(A,B)) ) )).
fof(dt_k34_mmlquery,axiom,( ! [A] : ! [B] : ( ( l1_mmlquery(A) & m1_finseq_1(B,u1_mmlquery(A)) ) => m1_subset_1(k34_mmlquery(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k34_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_subset_1(k34_modelc_1(A,B,C,D),k5_margrel1) ) )).
fof(dt_k34_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k34_modelc_2(A)) & v1_funct_2(k34_modelc_2(A),k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k34_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) ) )).
fof(dt_k34_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m1_finseq_1(A,k4_ordinal1) ) => l2_modelc_3(k34_modelc_3(A),k43_modelc_2) ) )).
fof(dt_k34_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) ) => m1_subset_1(k34_substut1(A,B),k1_substut1(A)) ) )).
fof(dt_k34_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k34_valued_1(A,B,C)) & m1_subset_1(k34_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k35_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_abcmiz_1) & v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => m1_abcmiz_1(k35_abcmiz_1(A,B),B,k14_abcmiz_1(B)) ) )).
fof(dt_k35_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_aofa_a00(A) & ~ v2_struct_0(B) & l5_aofa_a00(B) ) => ( v15_aofa_a00(k35_aofa_a00(A,B)) & l6_aofa_a00(k35_aofa_a00(A,B)) ) ) )).
fof(dt_k35_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m3_aofa_i00(k35_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k35_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_subset_1(k35_fomodel1(A),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k35_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(k35_fomodel2(A,B),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k35_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k35_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k35_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k35_gfacirc1(A,B,C),k34_gfacirc1(A,B,C)) & v4_msafree2(k35_gfacirc1(A,B,C),k34_gfacirc1(A,B,C)) & v4_circcomb(k35_gfacirc1(A,B,C),k34_gfacirc1(A,B,C)) & v6_circcomb(k35_gfacirc1(A,B,C),k34_gfacirc1(A,B,C)) & l3_msualg_1(k35_gfacirc1(A,B,C),k34_gfacirc1(A,B,C)) ) )).
fof(dt_k35_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k35_glib_000(A,B),k4_ordinal1) ) )).
fof(dt_k35_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_mmlquery(A) & m1_finseq_1(B,u1_mmlquery(A)) & v7_ordinal1(C) ) => m1_subset_1(k35_mmlquery(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k35_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k35_modelc_1(A,B,C),k30_modelc_1(A)) ) )).
fof(dt_k35_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(A) => m1_subset_1(k35_modelc_2(A,B,C),k30_modelc_1(k25_modelc_2(A))) ) )).
fof(dt_k35_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & v5_modelc_3(B) & m1_finseq_1(B,k4_ordinal1) & m1_orders_1(C,k6_partfun1(k1_orders_1(k1_modelc_3(B)))) & v1_modelc_3(D,B) & l1_modelc_3(D,B) ) => v7_ordinal1(k35_modelc_3(A,B,C,D)) ) )).
fof(dt_k35_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) ) => m2_subset_1(k35_substut1(A,B),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_k35_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k35_valued_1(A)) & v1_funct_1(k35_valued_1(A)) & v1_valued_0(k35_valued_1(A)) ) ) )).
fof(dt_k36_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v2_abcmiz_1(B,A) & m1_subset_1(B,u4_struct_0(A)) & m1_finseq_1(C,k34_abcmiz_1(A)) ) => ( v5_abcmiz_1(k36_abcmiz_1(A,B,C),A,k28_abcmiz_1(A)) & m1_subset_1(k36_abcmiz_1(A,B,C),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) ) )).
fof(dt_k36_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) ) => m1_subset_1(k36_aofa_a00(A),u1_struct_0(A)) ) )).
fof(dt_k36_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m3_aofa_i00(k36_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k36_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k36_fomodel1(A)) & v1_funct_2(k36_fomodel1(A),k35_fomodel1(A),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) & m1_subset_1(k36_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))))) ) ) )).
fof(dt_k36_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_funct_2(k36_fomodel3(A,B,C),k30_fomodel2(A),k30_fomodel2(A),k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) ) )).
fof(dt_k36_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_funct_2(k36_fomodel4(A),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k36_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k36_gfacirc1(A,B,C),u1_struct_0(k34_gfacirc1(A,B,C)),k3_msafree2(k34_gfacirc1(A,B,C))) )).
fof(dt_k36_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k36_glib_000(A,B),k1_zfmisc_1(k6_glib_000(A))) ) )).
fof(dt_k36_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_mmlquery(A) & l1_mmlquery(A) & m1_finseq_1(B,u1_mmlquery(A)) & v7_ordinal1(C) ) => m1_subset_1(k36_mmlquery(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k36_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k36_modelc_1(A,B)) & v1_funct_2(k36_modelc_1(A,B),k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(k36_modelc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) ) )).
fof(dt_k36_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k36_modelc_2(A)) & v1_funct_2(k36_modelc_2(A),k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k36_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) ) )).
fof(dt_k36_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & v5_modelc_3(B) & m1_finseq_1(B,k4_ordinal1) & m1_orders_1(C,k6_partfun1(k1_orders_1(k1_modelc_3(B)))) & v1_modelc_3(D,B) & l1_modelc_3(D,B) ) => ( v1_modelc_3(k36_modelc_3(A,B,C,D),B) & v3_modelc_3(k36_modelc_3(A,B,C,D),B) & l1_modelc_3(k36_modelc_3(A,B,C,D),B) ) ) )).
fof(dt_k36_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k36_substut1(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k36_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k36_valued_1(A,B,C)) & m1_subset_1(k36_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k36_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k36_valued_2(A,B,C)) & v1_funct_1(k36_valued_2(A,B,C)) ) ) )).
fof(dt_k37_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) => m1_abcmiz_1(k37_abcmiz_1(A,B),A,k13_abcmiz_1(A)) ) )).
fof(dt_k37_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) & v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => m1_msafree4(k37_aofa_a00(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) ) )).
fof(dt_k37_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m3_aofa_i00(k37_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k37_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k37_fomodel1(A),k1_zfmisc_1(k15_fomodel1(A))) ) )).
fof(dt_k37_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v4_fomodel2(k37_fomodel2(A,B),A) & m2_subset_1(k37_fomodel2(A,B),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) )).
fof(dt_k37_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v4_fomodel2(k37_fomodel3(A,B,C,D),A) & m2_subset_1(k37_fomodel3(A,B,C,D),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) )).
fof(dt_k37_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k37_gfacirc1(A,B,C)) & ~ v11_struct_0(k37_gfacirc1(A,B,C)) & v1_msualg_1(k37_gfacirc1(A,B,C)) & v1_circcomb(k37_gfacirc1(A,B,C)) & v2_circcomb(k37_gfacirc1(A,B,C)) & v3_circcomb(k37_gfacirc1(A,B,C)) & l1_msualg_1(k37_gfacirc1(A,B,C)) ) )).
fof(dt_k37_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k37_glib_000(A,B),k1_zfmisc_1(k6_glib_000(A))) ) )).
fof(dt_k37_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_mmlquery(A) & l1_mmlquery(A) & m1_finseq_1(B,u1_mmlquery(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(k37_mmlquery(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k37_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_subset_1(k37_modelc_1(A,B,C,D),k5_margrel1) ) )).
fof(dt_k37_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k25_modelc_2(A),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A),k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,k25_modelc_2(A),k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k25_modelc_2(A),k5_margrel1))) ) => m1_subset_1(k37_modelc_2(A,B,C,D),k5_margrel1) ) )).
fof(dt_k37_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & v5_modelc_3(B) & m1_finseq_1(B,k4_ordinal1) & m1_orders_1(C,k6_partfun1(k1_orders_1(k1_modelc_3(B)))) ) => ( v1_funct_1(k37_modelc_3(A,B,C)) & v1_funct_2(k37_modelc_3(A,B,C),k4_ordinal1,k23_modelc_3(B)) & m1_subset_1(k37_modelc_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k23_modelc_3(B)))) ) ) )).
fof(dt_k37_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k37_substut1(A,B),k9_qc_lang1(A)) ) )).
fof(dt_k37_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k37_valued_1(A,B,C)) & m1_subset_1(k37_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k37_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k37_valued_2(A,B,C,D)) & m1_subset_1(k37_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k38_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => m1_subset_1(k38_abcmiz_1(A),k1_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))))) ) )).
fof(dt_k38_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) & v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) ) => m1_msafree4(k38_aofa_a00(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) ) )).
fof(dt_k38_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m3_aofa_i00(k38_aofa_i00(A,B,C,D,E,F),A,B,C,D) ) )).
fof(dt_k38_descip_1,axiom,( ! [A] : ( m1_subset_1(A,k4_finseq_2(64,k5_margrel1)) => m2_finseq_2(k38_descip_1(A),k4_finseq_2(48,k5_margrel1),k4_finseq_2(16,k4_finseq_2(48,k5_margrel1))) ) )).
fof(dt_k38_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v7_ordinal1(k38_fomodel1(A,B)) ) )).
fof(dt_k38_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_finseq_2(k38_fomodel2(A,B),k1_fomodel1(A),k3_finseq_2(k1_fomodel1(A))) ) )).
fof(dt_k38_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v3_card_1(C,B) & m1_subset_1(C,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) & v3_card_1(D,B) & m1_subset_1(D,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => m1_subset_1(k38_fomodel4(A,B,C,D),k1_zfmisc_1(k30_fomodel2(A))) ) )).
fof(dt_k38_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k38_gfacirc1(A,B,C),k37_gfacirc1(A,B,C)) & v4_msafree2(k38_gfacirc1(A,B,C),k37_gfacirc1(A,B,C)) & v4_circcomb(k38_gfacirc1(A,B,C),k37_gfacirc1(A,B,C)) & v6_circcomb(k38_gfacirc1(A,B,C),k37_gfacirc1(A,B,C)) & l3_msualg_1(k38_gfacirc1(A,B,C),k37_gfacirc1(A,B,C)) ) )).
fof(dt_k38_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k38_glib_000(A,B),k1_zfmisc_1(k6_glib_000(A))) ) )).
fof(dt_k38_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k38_modelc_1(A,B,C),k30_modelc_1(A)) ) )).
fof(dt_k38_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(A) => m1_subset_1(k38_modelc_2(A,B,C),k30_modelc_1(k25_modelc_2(A))) ) )).
fof(dt_k38_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k38_substut1(A),k1_zfmisc_1(k16_substut1(A))) ) )).
fof(dt_k38_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k38_valued_2(A,B,C,D)) & m1_subset_1(k38_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k39_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) & v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),D)) ) => m1_msafree4(k39_aofa_a00(A,B,C,D,E,F),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) ) )).
fof(dt_k39_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_finseq_2(C,k4_finseq_2(B,k5_margrel1))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k4_finseq_2(B,k5_margrel1)),k4_finseq_2(A,k5_margrel1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k4_finseq_2(B,k5_margrel1)),k4_finseq_2(A,k5_margrel1)))) & v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(k2_nat_1(2,A),k5_margrel1),k4_finseq_2(k2_nat_1(2,A),k5_margrel1)) & v3_funct_2(F,k4_finseq_2(k2_nat_1(2,A),k5_margrel1),k4_finseq_2(k2_nat_1(2,A),k5_margrel1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2,A),k5_margrel1),k4_finseq_2(k2_nat_1(2,A),k5_margrel1)))) & m1_subset_1(G,k4_finseq_2(k2_nat_1(2,A),k5_margrel1)) ) => m2_finseq_2(k39_descip_1(A,B,C,D,E,F,G),k5_margrel1,k4_finseq_2(k2_nat_1(2,A),k5_margrel1)) ) )).
fof(dt_k39_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k39_fomodel1(A)) & v1_funct_2(k39_fomodel1(A),k4_ordinal1,k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)))) & m1_subset_1(k39_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)))))) ) ) )).
fof(dt_k39_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v15_fomodel1(B,A) & v4_fomodel2(B,A) & ~ v5_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v4_fomodel2(k39_fomodel2(A,B),A) & m2_subset_1(k39_fomodel2(A,B),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) )).
fof(dt_k39_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k39_fomodel4(A),k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) )).
fof(dt_k39_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => m1_subset_1(k39_glib_000(A),k4_ordinal1) ) )).
fof(dt_k39_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k39_modelc_1(A,B)) & v1_funct_2(k39_modelc_1(A,B),k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(k39_modelc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) ) )).
fof(dt_k39_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k39_modelc_2(A)) & v1_funct_2(k39_modelc_2(A),k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k39_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) ) )).
fof(dt_k39_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) ) => m2_subset_1(k39_substut1(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k39_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k39_valued_1(A)) & v1_funct_1(k39_valued_1(A)) ) ) )).
fof(dt_k3_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( l2_abcmiz_0(A) & m1_subset_1(B,u1_abcmiz_0(A)) ) => m1_subset_1(k3_abcmiz_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_abcmiz_1) => m1_subset_1(k3_abcmiz_1(A),k1_zfmisc_1(k2_abcmiz_1)) ) )).
fof(dt_k3_absred_0,axiom,( ! [A] : ! [B] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_absred_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_aescip_1,axiom,( v1_funct_1(k3_aescip_1) & v1_funct_2(k3_aescip_1,k4_finseq_2(128,k5_margrel1),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(k3_aescip_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(128,k5_margrel1),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) )).
fof(dt_k3_aff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_aff_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k3_afinsq_2(A,B,C)) & v1_funct_1(k3_afinsq_2(A,B,C)) & v5_ordinal1(k3_afinsq_2(A,B,C)) & v1_finset_1(k3_afinsq_2(A,B,C)) ) ) )).
fof(dt_k3_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v3_relat_2(k3_afproj(A)) & v8_relat_2(k3_afproj(A)) & v1_partfun1(k3_afproj(A),k1_afproj(A)) & m1_subset_1(k3_afproj(A),k1_zfmisc_1(k2_zfmisc_1(k1_afproj(A),k1_afproj(A)))) ) ) )).
fof(dt_k3_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k3_afvect0(A,B)) & v1_funct_2(k3_afvect0(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k3_afvect0(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k3_alg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_alg_1(B,A) ) => m2_finseq_1(k3_alg_1(A,B),k4_partfun1(k3_finseq_2(k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B))) ) )).
fof(dt_k3_algstr_0,axiom,( l2_algstr_0(k3_algstr_0) )).
fof(dt_k3_algstr_3,axiom,( v1_algstr_3(k3_algstr_3) & l1_algstr_3(k3_algstr_3) )).
fof(dt_k3_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k3_algstr_4(A,B)) & v1_funct_2(k3_algstr_4(A,B),k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),B),k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)) & m1_subset_1(k3_algstr_4(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),B),k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)))) ) ) )).
fof(dt_k3_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,A)) ) => ( v1_relat_1(k3_altcat_1(A,B,C)) & v4_relat_1(k3_altcat_1(A,B,C),k3_zfmisc_1(A,A,A)) & v1_funct_1(k3_altcat_1(A,B,C)) & v1_partfun1(k3_altcat_1(A,B,C),k3_zfmisc_1(A,A,A)) ) ) )).
fof(dt_k3_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => m2_pboole(k3_altcat_2(A),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_altcat_1(u1_struct_0(A),k2_altcat_2(A),k2_altcat_2(A)),k2_altcat_1(u1_struct_0(A),k2_altcat_2(A))) ) )).
fof(dt_k3_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k3_altcat_4(A)) & v2_altcat_1(k3_altcat_4(A)) & v6_altcat_1(k3_altcat_4(A)) & m1_altcat_2(k3_altcat_4(A),A) ) ) )).
fof(dt_k3_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => m1_altcat_5(k3_altcat_5(A,B,C),k7_altcat_1(B),k2_altcat_5(A,B,C),A,C) ) )).
fof(dt_k3_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( v1_relat_1(k3_altcat_6(A,B,C)) & v4_relat_1(k3_altcat_6(A,B,C),A) & v1_funct_1(k3_altcat_6(A,B,C)) & v1_partfun1(k3_altcat_6(A,B,C),A) ) ) )).
fof(dt_k3_ami_2,axiom,( v1_funct_1(k3_ami_2) & v1_funct_2(k3_ami_2,k1_ami_2,k5_card_1(2)) & m1_subset_1(k3_ami_2,k1_zfmisc_1(k2_zfmisc_1(k1_ami_2,k5_card_1(2)))) )).
fof(dt_k3_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => m1_subset_1(k3_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k3_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) ) => m1_subset_1(k3_ami_wstd(A,B,C),k4_ordinal1) ) )).
fof(dt_k3_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) ) => m1_subset_1(k3_amistd_1(A,B,C),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k3_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) ) => m1_subset_1(k3_amistd_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k3_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_analmetr(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_analort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_analort(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_k3_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k9_funct_2(A,B)) & m1_subset_1(D,k9_funct_2(A,B)) ) => m2_funct_2(k3_aofa_000(A,B,C,D,E),A,B,k9_funct_2(A,B)) ) )).
fof(dt_k3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => m2_pboole(k3_aofa_a00(A,B,C,D,E,F,G),A,B,C) ) )).
fof(dt_k3_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) & v4_msualg_1(F,A) & v4_msafree4(F,A,C) & l3_msualg_1(F,A) & ~ v2_struct_0(G) & v2_unialg_1(G) & v3_unialg_1(G) & v4_unialg_1(G) & v3_aofa_000(G) & v4_aofa_000(G) & v5_aofa_000(G) & v6_aofa_000(G) & l1_unialg_1(G) & m1_aofa_000(H,G,k12_aofa_a00(A,C,F,u4_aofa_a00(A,B,C,D)),k13_aofa_a00(A,C,F,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A),E,k2_aofa_a01(A,F))) & m1_subset_1(I,k12_aofa_a00(A,C,F,u4_aofa_a00(A,B,C,D))) & m1_subset_1(J,u1_struct_0(G)) ) => m2_subset_1(k3_aofa_a01(A,B,C,D,E,F,G,H,I,J),k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u3_msualg_1(A,F)),k12_aofa_a00(A,C,F,u4_aofa_a00(A,B,C,D))) ) )).
fof(dt_k3_aofa_i00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k3_aofa_i00(A,B)) & v5_relat_1(k3_aofa_i00(A,B),k4_numbers) & v1_funct_1(k3_aofa_i00(A,B)) ) ) )).
fof(dt_k3_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => ( v3_card_1(k3_armstrng(A,B,C),A) & m2_finseq_1(k3_armstrng(A,B,C),k5_margrel1) ) ) )).
fof(dt_k3_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(k3_arrow(A),k1_zfmisc_1(k2_arrow(A))) ) )).
fof(dt_k3_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => m1_subset_1(k3_arytm_0(A),k1_numbers) ) )).
fof(dt_k3_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => m2_subset_1(k3_arytm_2(A),k1_zfmisc_1(k5_arytm_3),k1_arytm_2) ) )).
fof(dt_k3_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => m1_subset_1(k3_arytm_3(A,B),k4_ordinal1) ) )).
fof(dt_k3_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ( v1_funct_1(k3_asympt_0(A,B)) & v1_funct_2(k3_asympt_0(A,B),k4_ordinal1,k1_numbers) & v2_asympt_0(k3_asympt_0(A,B)) & m1_subset_1(k3_asympt_0(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k3_asympt_1(A)) & v1_funct_2(k3_asympt_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k3_asympt_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( ~ v2_struct_0(k3_autalg_1(A)) & v2_group_1(k3_autalg_1(A)) & v3_group_1(k3_autalg_1(A)) & l3_algstr_0(k3_autalg_1(A)) ) ) )).
fof(dt_k3_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ~ v2_struct_0(k3_autgroup(A)) & v15_algstr_0(k3_autgroup(A)) & v2_group_1(k3_autgroup(A)) & v3_group_1(k3_autgroup(A)) & l3_algstr_0(k3_autgroup(A)) ) ) )).
fof(dt_k3_bagorder,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => v7_ordinal1(k3_bagorder(A,B)) ) )).
fof(dt_k3_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k3_bcialg_4(A,B,C)) & m1_subset_1(k3_bcialg_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k3_bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => v1_xxreal_0(k3_bcialg_5(A,B,C,D)) ) )).
fof(dt_k3_bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_bcialg_6(A,B),k4_ordinal1) ) )).
fof(dt_k3_bhsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_xreal_0(k3_bhsp_1(A,B)) ) )).
fof(dt_k3_bhsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k3_bhsp_2(A,B,C)) & v1_funct_2(k3_bhsp_2(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k3_bhsp_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_bhsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(k3_bhsp_4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_bhsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => v1_xreal_0(k3_bhsp_6(A,B,C)) ) )).
fof(dt_k3_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k3_bilinear(A,B,C,D,E)) & v1_funct_2(k3_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(k3_bilinear(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k3_binari_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) ) => v1_int_1(k3_binari_2(A,B)) ) )).
fof(dt_k3_binarith,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) ) => ( v3_card_1(k3_binarith(A,B),A) & m2_finseq_1(k3_binarith(A,B),k5_margrel1) ) ) )).
fof(dt_k3_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_funct_1(k3_binom(A)) & v1_funct_2(k3_binom(A),k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k3_binom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k3_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => m1_subset_1(k3_binop_1(A,B),A) ) )).
fof(dt_k3_binop_2,axiom,( v1_funct_1(k3_binop_2) & v1_funct_2(k3_binop_2,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m1_subset_1(k3_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers))) )).
fof(dt_k3_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_boolealg(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_boolmark,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k1_boolmark(A)) & m1_finseq_1(C,u4_struct_0(A)) ) => m2_funct_2(k3_boolmark(A,B,C),u1_struct_0(A),k5_margrel1,k1_boolmark(A)) ) )).
fof(dt_k3_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k3_borsuk_1(A,B,C,D),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) )).
fof(dt_k3_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k3_borsuk_2(A,B,C,D,E,F)) & v1_funct_2(k3_borsuk_2(A,B,C,D,E,F),u1_struct_0(k2_borsuk_1(A,C)),u1_struct_0(k2_borsuk_1(B,D))) & m1_subset_1(k3_borsuk_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,C)),u1_struct_0(k2_borsuk_1(B,D))))) ) ) )).
fof(dt_k3_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k3_borsuk_5(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k3_borsuk_6,axiom,( v1_funct_1(k3_borsuk_6) & v1_funct_2(k3_borsuk_6,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & m1_subset_1(k3_borsuk_6,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) )).
fof(dt_k3_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) & v1_xreal_0(E) & ~ v3_xxreal_0(E) ) => m1_subset_1(k3_brouwer(A,B,C,D,E),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k3_bspace,axiom,( ! [A] : ! [B] : m1_subset_1(k3_bspace(A,B),u1_struct_0(k2_bspace)) )).
fof(dt_k3_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k3_bvfunc25(A,B,C)) & v1_funct_2(k3_bvfunc25(A,B,C),A,k5_margrel1) & m1_subset_1(k3_bvfunc25(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k3_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k3_bvfunc_1(A,B)) & v1_funct_1(k3_bvfunc_1(A,B)) & v1_margrel1(k3_bvfunc_1(A,B)) ) ) )).
fof(dt_k3_bvfunc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) ) => m1_eqrel_1(k3_bvfunc_2(A,B),A) ) )).
fof(dt_k3_c0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_c0sp1(A,B),B) ) )).
fof(dt_k3_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => l1_funcsdom(k3_c0sp2(A)) ) )).
fof(dt_k3_calcul_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k3_cqc_lang(A)) ) => m1_subset_1(k3_calcul_1(A,B),k1_zfmisc_1(k3_qc_lang1(A))) ) )).
fof(dt_k3_calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => m2_finseq_1(k3_calcul_2(A,B,C),A) ) )).
fof(dt_k3_card_2,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v1_card_1(B) ) => v1_card_1(k3_card_2(A,B)) ) )).
fof(dt_k3_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k3_card_fil(A)) & m1_subset_1(k3_card_fil(A),k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) ) )).
fof(dt_k3_card_fin,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v2_finset_1(B) ) => m1_subset_1(k3_card_fin(A,B),k4_ordinal1) ) )).
fof(dt_k3_cardfin2,axiom,( v1_funct_1(k3_cardfin2) & v1_funct_2(k3_cardfin2,k4_ordinal1,k4_numbers) & m1_subset_1(k3_cardfin2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) )).
fof(dt_k3_cat_1,axiom,( ! [A] : ! [B] : ( v1_cat_1(k3_cat_1(A,B)) & l1_cat_1(k3_cat_1(A,B)) ) )).
fof(dt_k3_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m1_cat_2(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,D))) & m1_subset_1(F,A) ) => m2_cat_2(k3_cat_2(A,B,C,D,E,F),B,C,D) ) )).
fof(dt_k3_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( v1_funct_1(k3_cat_3(A,B,C)) & v1_funct_2(k3_cat_3(A,B,C),B,u1_struct_0(A)) & m1_subset_1(k3_cat_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) ) )).
fof(dt_k3_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_cat_4(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k3_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( ~ v2_struct_0(k3_cat_5(A,B)) & ~ v11_struct_0(k3_cat_5(A,B)) & v1_cat_1(k3_cat_5(A,B)) & v2_cat_1(k3_cat_5(A,B)) & v3_cat_1(k3_cat_5(A,B)) & v4_cat_1(k3_cat_5(A,B)) & v5_cat_1(k3_cat_5(A,B)) & v6_cat_1(k3_cat_5(A,B)) & l1_cat_1(k3_cat_5(A,B)) ) ) )).
fof(dt_k3_cat_6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_funct_1(k3_cat_6(A,B)) & m1_subset_1(k3_cat_6(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) ) )).
fof(dt_k3_cat_7,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) ) => m1_cat_7(k3_cat_7(A,B),A,B,B) ) )).
fof(dt_k3_catalan2,axiom,( ! [A] : m1_catalan2(k3_catalan2(A),A) )).
fof(dt_k3_catalg_1,axiom,( ! [A] : ( v1_msualg_1(k3_catalg_1(A)) & m1_catalg_1(k3_catalg_1(A),A) ) )).
fof(dt_k3_cayldick,axiom,( v1_cayldick(k3_cayldick) & l1_cayldick(k3_cayldick) )).
fof(dt_k3_cayley,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k3_cayley(A,B,C)) & v1_funct_2(k3_cayley(A,B,C),u1_struct_0(k2_cayley(A)),u1_struct_0(k2_cayley(B))) & m1_subset_1(k3_cayley(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_cayley(A)),u1_struct_0(k2_cayley(B))))) ) ) )).
fof(dt_k3_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k3_cc0sp1(A)) & v13_algstr_0(k3_cc0sp1(A)) & v2_rlvect_1(k3_cc0sp1(A)) & v3_rlvect_1(k3_cc0sp1(A)) & v4_rlvect_1(k3_cc0sp1(A)) & v1_vectsp_1(k3_cc0sp1(A)) & v3_vectsp_1(k3_cc0sp1(A)) & v3_group_1(k3_cc0sp1(A)) & v5_group_1(k3_cc0sp1(A)) & v2_clvect_1(k3_cc0sp1(A)) & v3_clvect_1(k3_cc0sp1(A)) & v4_clvect_1(k3_cc0sp1(A)) & v2_cfuncdom(k3_cc0sp1(A)) & l1_cfuncdom(k3_cc0sp1(A)) ) ) )).
fof(dt_k3_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k3_cc0sp2(A)) & v13_algstr_0(k3_cc0sp2(A)) & v2_rlvect_1(k3_cc0sp2(A)) & v3_rlvect_1(k3_cc0sp2(A)) & v4_rlvect_1(k3_cc0sp2(A)) & v1_vectsp_1(k3_cc0sp2(A)) & v3_vectsp_1(k3_cc0sp2(A)) & v3_group_1(k3_cc0sp2(A)) & v5_group_1(k3_cc0sp2(A)) & v2_clvect_1(k3_cc0sp2(A)) & v3_clvect_1(k3_cc0sp2(A)) & v4_clvect_1(k3_cc0sp2(A)) & v2_cfuncdom(k3_cc0sp2(A)) & l1_cfuncdom(k3_cc0sp2(A)) ) ) )).
fof(dt_k3_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k3_cfdiff_1(A,B)) & m1_subset_1(k3_cfdiff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) ) )).
fof(dt_k3_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k3_cfuncdom(A)) & v1_funct_2(k3_cfuncdom(A),k2_zfmisc_1(k2_numbers,k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & m1_subset_1(k3_cfuncdom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)))) ) ) )).
fof(dt_k3_cgames_1,axiom,( m1_subset_1(k3_cgames_1,k2_cgames_1(k5_ordinal1)) )).
fof(dt_k3_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => ( ~ v1_xboole_0(k3_chain_1(A,B,C)) & m1_subset_1(k3_chain_1(A,B,C),k1_zfmisc_1(k1_euclid(A))) ) ) )).
fof(dt_k3_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_chord(B,A) & m1_subset_1(C,k6_glib_000(A)) ) => ( ~ v8_ordinal1(k3_chord(A,B,C)) & m1_subset_1(k3_chord(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k3_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => m1_subset_1(k3_circcmb3(A),u1_struct_0(A)) ) )).
fof(dt_k3_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v4_msualg_1(D,B) & l3_msualg_1(D,B) ) => ( v3_msualg_1(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) & v4_msualg_1(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) & l3_msualg_1(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) ) ) )).
fof(dt_k3_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) & m1_subset_1(D,u4_struct_0(k1_circtrm1(A,B,C))) & l3_msualg_1(E,A) ) => ( v1_relat_1(k3_circtrm1(A,B,C,D,E)) & v1_funct_1(k3_circtrm1(A,B,C,D,E)) ) ) )).
fof(dt_k3_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(D,u4_struct_0(A)) ) => m1_subset_1(k3_circuit1(A,B,C,D),k3_msualg_1(A,D,B)) ) )).
fof(dt_k3_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_msafree2(C,A,B) ) => m2_pboole(k3_circuit2(A,B,C),u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B))) ) )).
fof(dt_k3_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => m1_subset_1(k3_classes1(A,B),k1_zfmisc_1(k1_classes1(A))) ) )).
fof(dt_k3_classes2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) ) => m1_subset_1(k3_classes2(A,B),A) ) )).
fof(dt_k3_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v2_struct_0(k3_clopban1(A,B)) & v13_algstr_0(k3_clopban1(A,B)) & v2_rlvect_1(k3_clopban1(A,B)) & v3_rlvect_1(k3_clopban1(A,B)) & v4_rlvect_1(k3_clopban1(A,B)) & v2_clvect_1(k3_clopban1(A,B)) & v3_clvect_1(k3_clopban1(A,B)) & v4_clvect_1(k3_clopban1(A,B)) & v5_clvect_1(k3_clopban1(A,B)) & l1_clvect_1(k3_clopban1(A,B)) ) ) )).
fof(dt_k3_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & m1_subset_1(B,k8_clopban1(A,A)) & m1_subset_1(C,k8_clopban1(A,A)) ) => m2_subset_1(k3_clopban2(A,B,C),u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) ) )).
fof(dt_k3_clopban3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m1_subset_1(k3_clopban3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_clopban4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & v2_cfuncdom(B) & v5_clopban2(B) & l1_clopban2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k3_clopban4(A,B,C,D)) & v1_funct_2(k3_clopban4(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & m1_subset_1(k3_clopban4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k3_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) & m2_pboole(D,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) ) => m2_pboole(k3_closure1(A,B,C,D),A,k5_mssubfam(A,B),k5_mssubfam(A,B)) ) )).
fof(dt_k3_closure2,axiom,( ! [A] : ( v4_funct_1(A) => ( v1_relat_1(k3_closure2(A)) & v1_funct_1(k3_closure2(A)) ) ) )).
fof(dt_k3_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => m1_subset_1(k3_closure3(A,B,C,D),k1_zfmisc_1(k1_closure2(A,B))) ) )).
fof(dt_k3_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ( v1_clvect_1(k3_clvect_1(A)) & m1_clvect_1(k3_clvect_1(A),A) ) ) )).
fof(dt_k3_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k3_clvect_2(A,B,C)) & v1_funct_2(k3_clvect_2(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k3_clvect_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_clvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(k3_clvect_3(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k3_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & m1_subset_1(B,A) ) => ( ~ v1_xboole_0(k3_cohsp_1(A,B)) & v4_finsub_1(k3_cohsp_1(A,B)) & m1_subset_1(k3_cohsp_1(A,B),k1_zfmisc_1(A)) ) ) )).
fof(dt_k3_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & l1_combgras(C,A,B) & m1_subset_1(D,u2_incsp_1(A)) ) => m1_subset_1(k3_combgras(A,B,C,D),u2_incsp_1(B)) ) )).
fof(dt_k3_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,C) & m2_cat_1(E,B,C) & m1_subset_1(F,k2_commacat(A,B,C,D,E)) ) => m2_subset_1(k3_commacat(A,B,C,D,E,F),k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)),k1_commacat(A,B,C,D,E)) ) )).
fof(dt_k3_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_metric_1(k3_compl_sp(A,B,C)) & l1_metric_1(k3_compl_sp(A,B,C)) ) ) )).
fof(dt_k3_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => m1_subset_1(k3_complex1(A),k1_numbers) ) )).
fof(dt_k3_complex2,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => v1_xreal_0(k3_complex2(A,B)) ) )).
fof(dt_k3_complsp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => m2_finseq_2(k3_complsp2(A,B,C),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k3_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_ordinal1(C) ) => m1_subset_1(k3_compos_1(A,B,C),u1_compos_1(A)) ) )).
fof(dt_k3_compos_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_amistd_4(A) & l1_compos_1(A) & v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) & v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => ( ~ v1_xboole_0(k3_compos_2(A,B,C)) & v1_relat_1(k3_compos_2(A,B,C)) & v4_relat_1(k3_compos_2(A,B,C),k4_ordinal1) & v5_relat_1(k3_compos_2(A,B,C),u1_compos_1(A)) & v1_funct_1(k3_compos_2(A,B,C)) & v1_finset_1(k3_compos_2(A,B,C)) & v1_afinsq_1(k3_compos_2(A,B,C)) & v3_compos_1(k3_compos_2(A,B,C),A) & v4_compos_1(k3_compos_2(A,B,C),A) ) ) )).
fof(dt_k3_comput_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k3_comput_1(A,B)) & v4_relat_1(k3_comput_1(A,B),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k3_comput_1(A,B)) & v4_valued_0(k3_comput_1(A,B)) & v2_margrel1(k3_comput_1(A,B)) ) ) )).
fof(dt_k3_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => v1_xcmplx_0(k3_comseq_2(A)) ) )).
fof(dt_k3_comseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k3_comseq_3(A)) & v1_funct_1(k3_comseq_3(A)) ) ) )).
fof(dt_k3_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k3_conlat_1(A)) & v1_funct_2(k3_conlat_1(A),u1_struct_0(k2_yellow_1(u1_struct_0(A))),u1_struct_0(k2_yellow_1(u4_struct_0(A)))) & m1_subset_1(k3_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(u1_struct_0(A))),u1_struct_0(k2_yellow_1(u4_struct_0(A)))))) ) ) )).
fof(dt_k3_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => ( ~ v4_conlat_1(k3_conlat_2(A,B),A) & v6_conlat_1(k3_conlat_2(A,B),A) & l2_conlat_1(k3_conlat_2(A,B),A) ) ) )).
fof(dt_k3_convex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_convex1(k3_convex1(A,B),A) & m1_subset_1(k3_convex1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k3_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => m2_finseq_1(k3_convex4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) ) => l1_rlvect_1(k3_convfun1(A,B)) ) )).
fof(dt_k3_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k3_cqc_lang(A),k1_zfmisc_1(k9_qc_lang1(A))) ) )).
fof(dt_k3_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A)))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A)))) & v7_ordinal1(D) ) => m2_funct_2(k3_cqc_sim1(A,B,C,D),k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) ) )).
fof(dt_k3_cqc_the1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) ) => m2_subset_1(k3_cqc_the1(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k3_csspace3,axiom,( ~ v2_struct_0(k3_csspace3) & l2_clvect_1(k3_csspace3) )).
fof(dt_k3_csspace4,axiom,( ~ v2_struct_0(k3_csspace4) & l2_clvect_1(k3_csspace4) )).
fof(dt_k3_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_funct_1(k3_dblseq_1(A)) & v1_funct_2(k3_dblseq_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k3_dblseq_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_funct_1(k3_dblseq_2(A)) & v1_funct_2(k3_dblseq_2(A),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(k3_dblseq_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) ) )).
fof(dt_k3_decomp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_decomp_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_finseq_1(C,A) ) => m2_finseq_1(k3_descip_1(A,B,C),A) ) )).
fof(dt_k3_dickson,axiom,( ! [A] : ( v1_relat_1(A) => v1_relat_1(k3_dickson(A)) ) )).
fof(dt_k3_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k3_diff_1(A,B)) & m1_subset_1(k3_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k3_dilworth,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_dilworth(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_dist_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) ) => v1_xreal_0(k3_dist_1(A,B,C)) ) )).
fof(dt_k3_dist_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k5_margrel1) & v1_funct_1(A) ) => m1_subset_1(k3_dist_2(A),k1_zfmisc_1(k9_xtuple_0(A))) ) )).
fof(dt_k3_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) ) => m1_subset_1(k3_domain_1(A,B,C),B) ) )).
fof(dt_k3_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( m1_finseq_1(C,k2_zfmisc_1(A,B)) => m2_finseq_1(k3_dtconstr(A,B,C),B) ) )).
fof(dt_k3_dualsp01,axiom,( ! [A] : ( l1_vectsp_1(A,k2_vectsp_1) => ( v1_funct_1(k3_dualsp01(A)) & v1_funct_2(k3_dualsp01(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k3_dualsp01(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k3_dualsp02,axiom,( ~ v2_struct_0(k3_dualsp02) & v13_algstr_0(k3_dualsp02) & v2_rlvect_1(k3_dualsp02) & v3_rlvect_1(k3_dualsp02) & v4_rlvect_1(k3_dualsp02) & v5_rlvect_1(k3_dualsp02) & v6_rlvect_1(k3_dualsp02) & v7_rlvect_1(k3_dualsp02) & v8_rlvect_1(k3_dualsp02) & v3_normsp_0(k3_dualsp02) & v4_normsp_0(k3_dualsp02) & v2_normsp_1(k3_dualsp02) & l1_normsp_1(k3_dualsp02) )).
fof(dt_k3_dynkin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v7_ordinal1(C) ) => m1_subset_1(k3_dynkin(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k3_e_siec,axiom,( ! [A] : ( v1_e_siec(k3_e_siec(A)) & v2_e_siec(k3_e_siec(A)) & v3_e_siec(k3_e_siec(A)) & l1_e_siec(k3_e_siec(A)) ) )).
fof(dt_k3_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v1_xboole_0(k3_ec_pf_1(A)) & m1_subset_1(k3_ec_pf_1(A),k1_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k3_ec_pf_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) & m1_subset_1(B,k1_ec_pf_2(A)) ) => m1_subset_1(k3_ec_pf_2(A,B),u1_struct_0(k9_int_3(A))) ) )).
fof(dt_k3_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v22_algstr_0(k3_endalg(A)) & l4_algstr_0(k3_endalg(A)) ) ) )).
fof(dt_k3_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) ) => m1_subset_1(k3_ens_1(A,B),A) ) )).
fof(dt_k3_entropy1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_finseq_1(B,k1_numbers) ) => m2_finseq_1(k3_entropy1(A,B),k1_numbers) ) )).
fof(dt_k3_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k3_eqrel_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k3_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => l3_msualg_1(k3_equation(A),A) ) )).
fof(dt_k3_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => m2_finseq_1(k3_euclid(A),k1_numbers) ) )).
fof(dt_k3_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_xreal_0(k3_euclid_3(A)) ) )).
fof(dt_k3_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => v1_xreal_0(k3_euclid_5(A)) ) )).
fof(dt_k3_euclid_8,axiom,( m2_finseq_2(k3_euclid_8,k1_numbers,k1_euclid(3)) )).
fof(dt_k3_euclid_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) ) => ( v1_relat_1(k3_euclid_9(A,B)) & v1_funct_1(k3_euclid_9(A,B)) ) ) )).
fof(dt_k3_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclidlp(A)) ) => v1_xreal_0(k3_euclidlp(A,B,C)) ) )).
fof(dt_k3_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v3_ordinal1(k3_exchsort(A)) ) )).
fof(dt_k3_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => m1_subset_1(k3_extpro_1(A,B,C,D),u1_compos_1(B)) ) )).
fof(dt_k3_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => m1_subset_1(k3_extreal1(A),k6_numbers) ) )).
fof(dt_k3_facirc_1,axiom,( v1_funct_1(k3_facirc_1) & v1_funct_2(k3_facirc_1,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k3_facirc_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k3_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ~ v2_struct_0(k3_facirc_2(A,B,C)) & ~ v11_struct_0(k3_facirc_2(A,B,C)) & v1_msualg_1(k3_facirc_2(A,B,C)) & v1_circcomb(k3_facirc_2(A,B,C)) & v2_circcomb(k3_facirc_2(A,B,C)) & v3_circcomb(k3_facirc_2(A,B,C)) & l1_msualg_1(k3_facirc_2(A,B,C)) ) ) )).
fof(dt_k3_ff_siec,axiom,( ! [A] : ( v1_petri(k3_ff_siec(A)) & v1_net_1(k3_ff_siec(A)) & l1_petri(k3_ff_siec(A)) ) )).
fof(dt_k3_fib_fusc,axiom,( v1_relat_1(k3_fib_fusc) & v5_relat_1(k3_fib_fusc,u1_compos_1(k1_ami_3)) & v5_ordinal1(k3_fib_fusc) & v1_funct_1(k3_fib_fusc) & v1_finset_1(k3_fib_fusc) )).
fof(dt_k3_fib_num2,axiom,( m1_subset_1(k3_fib_num2,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k3_fib_num3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m1_subset_1(k3_fib_num3(A,B,C),k4_ordinal1) ) )).
fof(dt_k3_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k3_filter_0(A,B)) & v19_lattices(k3_filter_0(A,B),A) & v20_lattices(k3_filter_0(A,B),A) & m1_subset_1(k3_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k3_filter_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_funct_1(k3_filter_1(A,B,C)) & v1_funct_2(k3_filter_1(A,B,C),k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & m1_subset_1(k3_filter_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)))) ) ) )).
fof(dt_k3_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) )).
fof(dt_k3_fin_topo,axiom,( ! [A] : m1_subset_1(k3_fin_topo(A),k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),k1_tarski(A)))) )).
fof(dt_k3_finance1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k3_finance1(A,B)) & v1_funct_2(k3_finance1(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k3_finance1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => ( v5_relat_1(k3_finance2(A,B),k12_prob_1) & v1_funct_1(k3_finance2(A,B)) & v1_funct_2(k3_finance2(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k3_finance2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) )).
fof(dt_k3_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(k3_finseq_1(A),k4_ordinal1) ) )).
fof(dt_k3_finseq_2,axiom,( ! [A] : m1_finseq_2(k3_finseq_2(A),A) )).
fof(dt_k3_finseq_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k3_finseq_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)))) ) )).
fof(dt_k3_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => m2_finseq_1(k3_finseq_4(A,B,C,D),A) ) )).
fof(dt_k3_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) ) ) )).
fof(dt_k3_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => m2_finseq_1(k3_finseq_6(A,B,C,D),A) ) )).
fof(dt_k3_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k3_finseq_8(A,B,C),A) ) )).
fof(dt_k3_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_subset_1(E,A) & m1_finseq_1(F,B) ) => m2_finseq_1(k3_finseqop(A,B,C,D,E,F),C) ) )).
fof(dt_k3_finsop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(k3_finsop_1(A),k5_finsub_1(k4_ordinal1)) ) )).
fof(dt_k3_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k3_finsub_1(A,B,C),A) ) )).
fof(dt_k3_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_fintopo2(A,B,C),k5_margrel1) ) )).
fof(dt_k3_fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => m1_subset_1(k3_fintopo3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k3_fintopo4(A),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) )).
fof(dt_k3_fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_orders_2(k3_fintopo5(A,B)) & l1_orders_2(k3_fintopo5(A,B)) ) ) )).
fof(dt_k3_flang_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k3_flang_1(A,B),k3_catalan2(A)) ) )).
fof(dt_k3_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ~ v1_xboole_0(k3_fomodel0(A,B)) & m1_subset_1(k3_fomodel0(A,B),k1_zfmisc_1(k3_finseq_2(A))) ) ) )).
fof(dt_k3_fomodel2,axiom,( ! [A] : ( v1_partfun1(k3_fomodel2(A),A) & v3_relat_2(k3_fomodel2(A)) & v8_relat_2(k3_fomodel2(A)) & m1_subset_1(k3_fomodel2(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k3_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v3_fomodel4(C,A) ) => m1_subset_1(k3_fomodel4(A,B,C),k1_zfmisc_1(k30_fomodel2(A))) ) )).
fof(dt_k3_frechet,axiom,( ~ v2_struct_0(k3_frechet) & v1_pre_topc(k3_frechet) & v2_pre_topc(k3_frechet) & l1_pre_topc(k3_frechet) )).
fof(dt_k3_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_lang1(k3_freealg(A,B)) & l1_lang1(k3_freealg(A,B)) ) ) )).
fof(dt_k3_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k3_fscirc_1(A,B,C)) & ~ v11_struct_0(k3_fscirc_1(A,B,C)) & v1_msualg_1(k3_fscirc_1(A,B,C)) & v1_circcomb(k3_fscirc_1(A,B,C)) & v2_circcomb(k3_fscirc_1(A,B,C)) & v3_circcomb(k3_fscirc_1(A,B,C)) & l1_msualg_1(k3_fscirc_1(A,B,C)) ) )).
fof(dt_k3_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => m2_subset_1(k3_fscirc_2(A,B,C),u1_struct_0(k1_fscirc_2(A,B,C)),k3_msafree2(k1_fscirc_2(A,B,C))) ) )).
fof(dt_k3_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_finseq_1(D,A) ) => m1_subset_1(k3_fsm_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k3_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_fsm_3(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => m1_subset_1(k3_fsm_3(A,B,C,D),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k3_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k3_ftacell1(A,B,C,D,E),k3_msafree2(k1_ftacell1(A,B,C,D,E))) )).
fof(dt_k3_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => m2_funct_2(k3_funcsdom(A,B,C,D,E),B,A,k9_funct_2(B,A)) ) )).
fof(dt_k3_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k3_funct_2(A,B,C,D),B) ) )).
fof(dt_k3_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k3_funct_3(A)) & v1_funct_1(k3_funct_3(A)) ) ) )).
fof(dt_k3_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k3_funct_4(A,B)) & v1_funct_1(k3_funct_4(A,B)) ) ) )).
fof(dt_k3_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k3_funct_5(A)) & v1_funct_1(k3_funct_5(A)) ) ) )).
fof(dt_k3_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k3_funct_7(A,B)) & v1_funct_1(k3_funct_7(A,B)) ) ) )).
fof(dt_k3_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & l1_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k3_functor0(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k3_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & m2_functor0(C,A,B) & m2_functor0(D,A,B) & m2_functor0(E,A,B) & m1_functor2(F,A,B,C,D) & m1_functor2(G,A,B,D,E) ) => m1_functor2(k3_functor2(A,B,C,D,E,F,G),A,B,C,E) ) )).
fof(dt_k3_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & v16_functor0(E,B,C) & m2_functor0(E,B,C) ) => ( v9_functor0(k3_functor3(A,B,C,D,E),A,C) & v16_functor0(k3_functor3(A,B,C,D,E),A,C) & m2_functor0(k3_functor3(A,B,C,D,E),A,C) ) ) )).
fof(dt_k3_fuznum_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v1_xxreal_0(k3_fuznum_1(A,B)) ) )).
fof(dt_k3_fuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k3_fuzzy_1(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k3_fuzzy_1(A,B)) & v1_funct_2(k3_fuzzy_1(A,B),A,k1_numbers) & m1_subset_1(k3_fuzzy_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k3_fuzzy_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k3_fuzzy_2(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k3_fuzzy_2(A,B,C)) & v1_funct_2(k3_fuzzy_2(A,B,C),A,k1_numbers) & m1_subset_1(k3_fuzzy_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k3_fuzzy_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ( v5_relat_1(k3_fuzzy_4(A,B,C,D,E),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k3_fuzzy_4(A,B,C,D,E)) & v1_funct_2(k3_fuzzy_4(A,B,C,D,E),k2_zfmisc_1(A,C),k1_numbers) & m1_subset_1(k3_fuzzy_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,C),k1_numbers))) ) ) )).
fof(dt_k3_fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_int_1(C) ) => m1_subset_1(k3_fvaluat1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_struct_0(A)) ) => m2_finseq_1(k3_fvsum_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_gaussint,axiom,( v1_funct_1(k3_gaussint) & v1_funct_2(k3_gaussint,k2_zfmisc_1(k1_gaussint,k1_gaussint),k1_gaussint) & m1_subset_1(k3_gaussint,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_gaussint,k1_gaussint),k1_gaussint))) )).
fof(dt_k3_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => m1_subset_1(k3_gcd_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k3_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_finseq_1(B,k3_card_3(A)) & m1_finseq_1(C,k3_card_3(A)) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) ) => m2_finseq_1(k3_genealg1(A,B,C,D,E,F),k3_card_3(A)) ) )).
fof(dt_k3_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => v1_xreal_0(k3_geomtrap(A,B,C,D)) ) )).
fof(dt_k3_gfacirc1,axiom,( v1_funct_1(k3_gfacirc1) & v1_funct_2(k3_gfacirc1,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k3_gfacirc1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k3_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => m2_subset_1(k3_gfacirc2(A,B,C),u1_struct_0(k1_gfacirc2(A,B,C)),k3_msafree2(k1_gfacirc2(A,B,C))) ) )).
fof(dt_k3_glib_000,axiom,( m1_subset_1(k3_glib_000,k4_ordinal1) )).
fof(dt_k3_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => m1_subset_1(k3_glib_001(A,B),k6_glib_000(A)) ) )).
fof(dt_k3_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( ~ v1_xboole_0(k3_glib_002(A)) & m1_subset_1(k3_glib_002(A),k1_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)))) ) ) )).
fof(dt_k3_glib_003,axiom,( m1_subset_1(k3_glib_003,k4_ordinal1) )).
fof(dt_k3_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ~ v1_xboole_0(k3_glib_004(A)) ) )).
fof(dt_k3_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_glib_005(C,A,B) ) => m1_glib_005(k3_glib_005(A,B,C),A,B) ) )).
fof(dt_k3_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) ) => m1_subset_1(k3_goboard5(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k3_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k3_goboard9(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k3_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => m1_subset_1(k3_gobrd13(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k3_goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => m2_subset_1(k3_goedcpuc(A,B,C),k9_qc_lang1(k1_goedcpuc(A)),k3_cqc_lang(k1_goedcpuc(A))) ) )).
fof(dt_k3_goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => m2_subset_1(k3_goedelcp(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k3_gr_cy_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k3_gr_cy_1(A)) & v1_funct_2(k3_gr_cy_1(A),k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)) & m1_subset_1(k3_gr_cy_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)))) ) ) )).
fof(dt_k3_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k3_graph_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_graph_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k3_graph_2(A,B)) & v1_funct_1(k3_graph_2(A,B)) & v1_finseq_1(k3_graph_2(A,B)) ) ) )).
fof(dt_k3_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_graph_3(A,B,C),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k3_graph_3a,axiom,( v1_funct_1(k3_graph_3a) & v1_funct_2(k3_graph_3a,k2_graph_3a,k1_graph_3a) & m1_subset_1(k3_graph_3a,k1_zfmisc_1(k2_zfmisc_1(k2_graph_3a,k1_graph_3a))) )).
fof(dt_k3_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_graph_5(A,B,C),k1_zfmisc_1(k3_finseq_2(u4_struct_0(A)))) ) )).
fof(dt_k3_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_funct_2(A,A)) & m1_subset_1(C,k1_funct_2(A,A)) ) => m1_subset_1(k3_graphsp(A,B,C),k1_funct_2(A,A)) ) )).
fof(dt_k3_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k3_grcat_1(A,B)) & v1_funct_2(k3_grcat_1(A,B),k1_grcat_1(A,B),B) & m1_subset_1(k3_grcat_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_grcat_1(A,B),B))) ) ) )).
fof(dt_k3_groeb_1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) ) => m1_subset_1(k3_groeb_1(A,B),k1_zfmisc_1(k15_pre_poly(A))) ) )).
fof(dt_k3_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k3_groeb_2(A,B,C,D,E)) & v1_funct_2(k3_groeb_2(A,B,C,D,E),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k3_groeb_2(A,B,C,D,E),C) & m1_subset_1(k3_groeb_2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) )).
fof(dt_k3_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v7_ordinal1(E) ) => ( v1_finset_1(k3_groeb_3(A,B,C,D,E)) & m1_subset_1(k3_groeb_3(A,B,C,D,E),k1_zfmisc_1(k15_pre_poly(A))) ) ) )).
fof(dt_k3_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k3_group_1(A)) & v1_funct_2(k3_group_1(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k3_group_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k3_group_10,axiom,( ! [A] : ! [B] : m1_subset_1(k3_group_10(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) )).
fof(dt_k3_group_11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => m1_subset_1(k3_group_11(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => ( v1_funct_1(k3_group_12(A,B,C)) & v1_funct_2(k3_group_12(A,B,C),u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))) & v1_group_6(k3_group_12(A,B,C),k1_group_7(A,B,C),k2_group_12(A,B,C)) & m1_subset_1(k3_group_12(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))))) ) ) )).
fof(dt_k3_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => m1_subset_1(k3_group_19(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k3_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_group_4(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_group_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k3_group_5(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k3_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k3_group_6(A,B,C)) & v1_group_3(k3_group_6(A,B,C),C) & m1_group_6(k3_group_6(A,B,C),A,C) ) ) )).
fof(dt_k3_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ( v15_algstr_0(k3_group_7(A,B)) & m1_group_2(k3_group_7(A,B),k2_group_7(A,B)) ) ) )).
fof(dt_k3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_subset_1(C,A) ) => ( v1_funct_1(k3_group_9(A,B,C)) & v1_funct_2(k3_group_9(A,B,C),u1_struct_0(B),u1_struct_0(B)) & v1_group_6(k3_group_9(A,B,C),B,B) & m1_subset_1(k3_group_9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) ) )).
fof(dt_k3_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k3_hahnban1(A,B,C,D)) & v1_funct_2(k3_hahnban1(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k3_hahnban1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k3_hausdorf,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v1_xreal_0(k3_hausdorf(A,B,C)) ) )).
fof(dt_k3_helly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m1_subset_1(D,k6_glib_000(A)) ) => m1_subset_1(k3_helly(A,B,C,D),k6_glib_000(A)) ) )).
fof(dt_k3_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => m2_funct_2(k3_henmodel(A),k3_qc_lang1(A),k1_henmodel(A),k2_valuat_1(A,k1_henmodel(A))) ) )).
fof(dt_k3_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k3_hermitan(A,B,C)) & v1_funct_2(k3_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & m1_subset_1(k3_hermitan(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k3_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => m2_subset_1(k3_heyting1(A,B),k5_finsub_1(k7_normform(A)),k8_normform(A)) ) )).
fof(dt_k3_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) & m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) ) => m1_subset_1(k3_heyting2(A,B,C,D),k5_finsub_1(k4_partfun1(A,B))) ) )).
fof(dt_k3_heyting3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k3_heyting3(A,B),k4_partfun1(k4_ordinal1,k1_tarski(B))) ) )).
fof(dt_k3_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,A) & ~ v2_struct_0(C) & v1_group_1(C) & l5_algstr_0(C) ) => ( v1_funct_1(k3_hilbasis(A,B,C)) & v1_funct_2(k3_hilbasis(A,B,C),k15_pre_poly(A),u1_struct_0(C)) & m1_subset_1(k3_hilbasis(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) )).
fof(dt_k3_hilbert1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m1_subset_1(k3_hilbert1(A,B),k1_hilbert1) ) )).
fof(dt_k3_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( v1_relat_1(k3_hilbert2(A)) & v5_relat_1(k3_hilbert2(A),k1_hilbert1) & v1_funct_1(k3_hilbert2(A)) & v3_trees_2(k3_hilbert2(A)) ) ) )).
fof(dt_k3_huffman1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k3_huffman1(A)) & m1_subset_1(k3_huffman1(A),k1_zfmisc_1(k1_zfmisc_1(k2_huffman1(A)))) ) ) )).
fof(dt_k3_hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( v1_funct_1(k3_hurwitz(A,B,C)) & v1_funct_2(k3_hurwitz(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k3_hurwitz(A,B,C),A) & m1_subset_1(k3_hurwitz(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k3_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => ( v3_card_1(k3_idea_1(A,B,C),A) & m2_finseq_1(k3_idea_1(A,B,C),k5_margrel1) ) ) )).
fof(dt_k3_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => l1_incsp_1(k3_incproj(A)) ) )).
fof(dt_k3_incsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v15_incsp_1(A) & l2_incsp_1(A) & m1_subset_1(B,u1_incsp_1(A)) & m1_subset_1(C,u2_incsp_1(A)) ) => m1_subset_1(k3_incsp_1(A,B,C),u4_incsp_1(A)) ) )).
fof(dt_k3_index_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_index_1(A) ) => ( v1_relat_1(k3_index_1(A)) & v2_relat_1(k3_index_1(A)) & v1_funct_1(k3_index_1(A)) ) ) )).
fof(dt_k3_instalg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(E) & v1_funct_1(E) ) => m2_pboole(k3_instalg1(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E))) ) )).
fof(dt_k3_int_2,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v7_ordinal1(k3_int_2(A,B)) ) )).
fof(dt_k3_int_3,axiom,( v1_funct_1(k3_int_3) & v1_funct_2(k3_int_3,u1_struct_0(k1_int_3),k4_ordinal1) & m1_subset_1(k3_int_3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_int_3),k4_ordinal1))) )).
fof(dt_k3_int_5,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => ( v1_card_3(k3_int_5(A,B)) & m2_finseq_1(k3_int_5(A,B),k4_ordinal1) ) ) )).
fof(dt_k3_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ~ v2_struct_0(k3_int_7(A)) & v2_group_1(k3_int_7(A)) & v3_group_1(k3_int_7(A)) & v5_group_1(k3_int_7(A)) & l3_algstr_0(k3_int_7(A)) ) ) )).
fof(dt_k3_integr10,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => v1_xreal_0(k3_integr10(A,B)) ) )).
fof(dt_k3_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr15(D,A,B,C) ) => ( v1_funct_1(k3_integr15(A,B,C,D)) & v1_funct_2(k3_integr15(A,B,C,D),k4_ordinal1,k1_numbers) & m1_subset_1(k3_integr15(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & m1_integra1(C,A) & m1_integr16(D,A,B,C) ) => m1_subset_1(k3_integr16(A,B,C,D),k2_numbers) ) )).
fof(dt_k3_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) ) => ( v1_funct_1(k3_integr18(A,B,C,D,E)) & v1_funct_2(k3_integr18(A,B,C,D,E),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k3_integr18(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k3_integr1c,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_integr1c(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => v1_xcmplx_0(k3_integr1c(A,B)) ) )).
fof(dt_k3_integra1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => v1_xreal_0(k3_integra1(A)) ) )).
fof(dt_k3_integra2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( v1_funct_1(k3_integra2(A,B,C)) & v1_funct_2(k3_integra2(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k3_integra2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_integra5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ~ v1_xboole_0(k3_integra5(A,B)) & v2_measure5(k3_integra5(A,B)) & m1_subset_1(k3_integra5(A,B),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k3_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => m1_interva1(k3_interva1(A,B,C),A) ) )).
fof(dt_k3_intpro_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_intpro_1) & m1_subset_1(B,k1_intpro_1) ) => m1_subset_1(k3_intpro_1(A,B),k1_intpro_1) ) )).
fof(dt_k3_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k3_irrat_1(A)) & v1_funct_2(k3_irrat_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k3_irrat_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_isocat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,B,C) & m2_cat_1(E,B,C) & m2_cat_1(F,A,B) & m1_nattra_1(G,B,C,D,E) ) => m1_nattra_1(k3_isocat_1(A,B,C,D,E,F,G),A,C,k9_cat_1(A,B,C,F,D),k9_cat_1(A,B,C,F,E)) ) )).
fof(dt_k3_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m1_subset_1(E,u4_struct_0(A)) ) => ( v1_funct_1(k3_isocat_2(A,B,C,D,E)) & v1_funct_2(k3_isocat_2(A,B,C,D,E),u4_struct_0(B),u4_struct_0(C)) & m1_subset_1(k3_isocat_2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B),u4_struct_0(C)))) ) ) )).
fof(dt_k3_jgraph_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => m2_finseq_1(k3_jgraph_1(A,B),u4_struct_0(k1_jgraph_1(A))) ) )).
fof(dt_k3_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k3_jgraph_4(A)) & v1_funct_2(k3_jgraph_4(A),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k3_jgraph_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) ) )).
fof(dt_k3_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_subset_1(k3_jgraph_6(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k3_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( v1_funct_1(k3_jordan(A)) & v1_funct_2(k3_jordan(A),u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(k3_jordan(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) ) )).
fof(dt_k3_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k3_jordan10(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )).
fof(dt_k3_jordan11,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => m1_subset_1(k3_jordan11(A,B),k4_ordinal1) ) )).
fof(dt_k3_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k3_jordan19(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k3_jordan1h,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => v7_ordinal1(k3_jordan1h(A,B)) ) )).
fof(dt_k3_jordan3,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m2_finseq_1(k3_jordan3(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k3_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k3_jordan5d(A)) ) )).
fof(dt_k3_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k3_jordan6(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k3_jordan_a,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v1_xreal_0(k3_jordan_a(A,B)) ) )).
fof(dt_k3_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,C) & v4_prob_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(C))) & v1_funct_1(E) & v1_funct_2(E,B,k9_setfam_1(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(D)))) ) => m1_subset_1(k3_kolmog01(A,B,C,D,E),k1_zfmisc_1(k1_zfmisc_1(C))) ) )).
fof(dt_k3_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_subset_1(k3_kurato_0(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k3_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_kurato_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k3_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k3_lagra4sq(A),k4_numbers) ) )).
fof(dt_k3_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & v1_matrix_0(E) & v2_matrix_0(E,D,B,C) & m1_finseq_1(E,k3_finseq_2(D)) & m1_finseq_1(F,D) ) => ( v1_matrix_0(k3_laplace(A,B,C,D,E,F)) & v2_matrix_0(k3_laplace(A,B,C,D,E,F),D,B,C) & m2_finseq_1(k3_laplace(A,B,C,D,E,F),k3_finseq_2(D)) ) ) )).
fof(dt_k3_latsubgr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_latsubgr(A,B,C)) & v1_funct_2(k3_latsubgr(A,B,C),u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))) & m1_subset_1(k3_latsubgr(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))))) ) ) )).
fof(dt_k3_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => v1_relat_1(k3_lattad_1(A)) ) )).
fof(dt_k3_lattice2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => m1_subset_1(k3_lattice2(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k3_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A)) & l1_orders_2(k3_lattice3(A)) ) ) )).
fof(dt_k3_lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_lattice4(k3_lattice4(A,B),A) ) )).
fof(dt_k3_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => m1_subset_1(k3_lattice5(A,B,C,D,E),u1_struct_0(B)) ) )).
fof(dt_k3_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_lattice6(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_lattice7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(k3_lattice7(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(k3_latticea(A)) & v1_funct_2(k3_latticea(A),u1_struct_0(A),k9_setfam_1(k1_latticea(A))) & m1_subset_1(k3_latticea(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(k1_latticea(A))))) ) ) )).
fof(dt_k3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v7_ordinal1(C) ) => ( v1_relat_1(k3_lexbfs(A,B,C)) & v1_funct_1(k3_lexbfs(A,B,C)) & v4_valued_0(k3_lexbfs(A,B,C)) ) ) )).
fof(dt_k3_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_lfuzzy_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_lfuzzy_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( v5_relat_1(k3_lfuzzy_1(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k3_lfuzzy_1(A,B)) & v1_funct_2(k3_lfuzzy_1(A,B),B,k1_numbers) & m1_subset_1(k3_lfuzzy_1(A,B),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k3_limfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k3_limfunc1(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k3_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( v1_funct_1(k3_lopban_1(A,B)) & v1_funct_2(k3_lopban_1(A,B),k2_zfmisc_1(k1_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))) & m1_subset_1(k3_lopban_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B))))) ) ) )).
fof(dt_k3_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k10_lopban_1(A,A)) & m1_subset_1(C,k10_lopban_1(A,A)) ) => m2_subset_1(k3_lopban_2(A,B,C),u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) ) )).
fof(dt_k3_lopban_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k3_lopban_3(A,B,C)) & v1_funct_2(k3_lopban_3(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k3_lopban_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k3_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k3_lopban_4(A)) & v1_funct_2(k3_lopban_4(A),k4_ordinal1,k1_numbers) & m1_subset_1(k3_lopban_4(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_subset_1(k3_lopban_7(A,B,C),k1_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)))) ) )).
fof(dt_k3_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => m2_subset_1(k3_lopclset(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) ) )).
fof(dt_k3_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k3_lp_space(A)) & v1_funct_2(k3_lp_space(A),k2_lp_space(A),k1_numbers) & m1_subset_1(k3_lp_space(A),k1_zfmisc_1(k2_zfmisc_1(k2_lp_space(A),k1_numbers))) ) ) )).
fof(dt_k3_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => m2_rfunct_3(k3_lpspacc1(A,B,C,D),A,k2_numbers,k3_rfunct_3(A,k2_numbers)) ) )).
fof(dt_k3_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k3_lpspace1(A)) & v1_funct_2(k3_lpspace1(A),k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)) & m1_subset_1(k3_lpspace1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k1_numbers),k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)))) ) ) )).
fof(dt_k3_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v1_xboole_0(k3_lpspace2(A,B,C,D)) & m1_subset_1(k3_lpspace2(A,B,C,D),k1_zfmisc_1(u1_struct_0(k2_lpspace2(A,B,C,D)))) ) ) )).
fof(dt_k3_ltlaxio1,axiom,( m1_subset_1(k3_ltlaxio1,k1_hilbert1) )).
fof(dt_k3_ltlaxio2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m2_finseq_1(k3_ltlaxio2(A,B),k1_hilbert1) ) )).
fof(dt_k3_ltlaxio3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_funct_1(B) & m1_finseq_1(B,A) & v2_funct_1(C) & m1_finseq_1(C,A) ) => ( v2_funct_1(k3_ltlaxio3(A,B,C)) & m2_finseq_1(k3_ltlaxio3(A,B,C),A) ) ) )).
fof(dt_k3_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => m1_subset_1(k3_ltlaxio4(A),k1_zfmisc_1(k1_hilbert1)) ) )).
fof(dt_k3_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(k3_margrel1(A),k2_margrel1(A)) ) )).
fof(dt_k3_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_mathmorp(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_matrix10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k3_matrix10(A,B)) & v2_matrix_0(k3_matrix10(A,B),k1_numbers,A,A) & m2_finseq_1(k3_matrix10(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k3_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & v1_matrix_0(E) & v2_matrix_0(E,D,B,C) & m1_finseq_1(E,k3_finseq_2(D)) & m1_finseq_1(F,D) ) => ( v1_matrix_0(k3_matrix11(A,B,C,D,E,F)) & v2_matrix_0(k3_matrix11(A,B,C,D,E,F),D,B,C) & m2_finseq_1(k3_matrix11(A,B,C,D,E,F),k3_finseq_2(D)) ) ) )).
fof(dt_k3_matrix12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v7_ordinal1(E) & v7_ordinal1(F) & m1_subset_1(G,u1_struct_0(C)) ) => ( v1_matrix_0(k3_matrix12(A,B,C,D,E,F,G)) & v2_matrix_0(k3_matrix12(A,B,C,D,E,F,G),u1_struct_0(C),A,B) & m2_finseq_1(k3_matrix12(A,B,C,D,E,F,G),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k3_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k3_matrix13(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k3_matrix14,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m2_finseq_1(k3_matrix14(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_matrix15,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v1_matrix_0(k3_matrix15(A,B)) & v2_matrix_0(k3_matrix15(A,B),A,k3_finseq_1(B),1) & m2_finseq_1(k3_matrix15(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k3_matrix16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) ) => ( v1_matrix_0(k3_matrix16(A,B)) & v2_matrix_0(k3_matrix16(A,B),u1_struct_0(A),k3_finseq_1(B),k3_finseq_1(B)) & m2_finseq_1(k3_matrix16(A,B),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k3_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(k3_matrix_0(A,B,C,D),A) ) )).
fof(dt_k3_matrix_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_matrix_0(k3_matrix_1(A,B)) & v2_matrix_0(k3_matrix_1(A,B),u1_struct_0(A),B,B) & m2_finseq_1(k3_matrix_1(A,B),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k3_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( v1_matrix_0(k3_matrix_3(A,B,C)) & m2_finseq_1(k3_matrix_3(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k3_matrix_5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k3_matrix_5(A,B)) & m2_finseq_1(k3_matrix_5(A,B),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k3_matrix_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k9_matrix_1(A)) ) => m1_matrix_1(k3_matrix_7(A,B),k9_matrix_1(A)) ) )).
fof(dt_k3_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrixj1(k3_matrixj1(A,B,C),A) & m2_finseq_1(k3_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k3_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrixj2(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_matrixj2(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( v1_matrixj2(k3_matrixj2(A,B,C),A) & m2_finseq_1(k3_matrixj2(A,B,C),k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) ) )).
fof(dt_k3_matrixr1,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k3_matrixr1(A,B)) & m2_finseq_1(k3_matrixr1(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k3_matrixr2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => v1_xreal_0(k3_matrixr2(A,B)) ) )).
fof(dt_k3_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k3_matrlin(A,B,C,D,E)) & v1_funct_2(k3_matrlin(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(k3_matrlin(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) ) )).
fof(dt_k3_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_finseq_1(E,u1_struct_0(B)) & m1_matrlin(F,A,C) ) => ( v1_matrix_0(k3_matrlin2(A,B,C,D,E,F)) & v2_matrix_0(k3_matrlin2(A,B,C,D,E,F),u1_struct_0(A),k3_finseq_1(E),k3_finseq_1(E)) & m2_finseq_1(k3_matrlin2(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k3_matroid0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ( v1_pre_topc(k3_matroid0(A,B)) & l1_pre_topc(k3_matroid0(A,B)) ) ) )).
fof(dt_k3_matrprob,axiom,( ! [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) => m2_finseq_1(k3_matrprob(A),k1_numbers) ) )).
fof(dt_k3_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v1_funct_1(k3_matrtop1(A,B,C)) & v1_funct_2(k3_matrtop1(A,B,C),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B))) & m1_subset_1(k3_matrtop1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B))))) ) ) )).
fof(dt_k3_matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v13_vectsp_1(B,k15_euclid(A),k15_euclid(A)) & v1_topreal9(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v1_matrix_0(k3_matrtop3(A,B)) & v2_matrix_0(k3_matrtop3(A,B),u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(k3_matrtop3(A,B),k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) ) )).
fof(dt_k3_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k3_zfmisc_1(A,B,C)) ) => m1_subset_1(k3_mcart_1(A,B,C,D),C) ) )).
fof(dt_k3_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => m2_subset_1(k3_measure1(A,B,C,D),k1_zfmisc_1(A),B) ) )).
fof(dt_k3_measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m1_subset_1(D,k2_measure3(A,B,C)) ) => ( ~ v1_xboole_0(k3_measure3(A,B,C,D)) & m1_subset_1(k3_measure3(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k3_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( v1_funct_1(k3_measure4(A,B)) & v1_funct_2(k3_measure4(A,B),k1_measure4(A,B),k6_numbers) & m1_subset_1(k3_measure4(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A,B),k6_numbers))) ) ) )).
fof(dt_k3_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => m1_subset_1(k3_measure6(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k3_measure7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_measure7(B,A) ) => ( v1_funct_1(k3_measure7(A,B)) & v1_funct_2(k3_measure7(A,B),k4_ordinal1,k6_numbers) & m1_subset_1(k3_measure7(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k3_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m4_measure8(D,A,B,C) & v7_ordinal1(E) ) => m3_measure8(k3_measure8(A,B,C,D,E),A,k8_nat_1(k9_setfam_1(A),C,E),B) ) )).
fof(dt_k3_member_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => m1_subset_1(k3_member_1(A,B),k6_numbers) ) )).
fof(dt_k3_mesfun6c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & m1_subset_1(E,B) ) => v1_xcmplx_0(k3_mesfun6c(A,B,C,D,E)) ) )).
fof(dt_k3_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k3_mesfun7c(A,B)) & m1_subset_1(k3_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k3_mesfun9c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_funct_1(k3_mesfun9c(A,B)) & v1_funct_2(k3_mesfun9c(A,B),k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(k3_mesfun9c(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) ) )).
fof(dt_k3_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => ( v1_funct_1(k3_mesfunc1(A,B,C)) & m1_subset_1(k3_mesfunc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k3_mesfunc2,axiom,( ! [A] : ! [B] : ( v1_funct_1(k3_mesfunc2(A,B)) & m1_subset_1(k3_mesfunc2(A,B),k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) )).
fof(dt_k3_mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m1_subset_1(C,A) ) => ( v1_funct_1(k3_mesfunc5(A,B,C)) & v1_funct_2(k3_mesfunc5(A,B,C),k4_ordinal1,k6_numbers) & m1_subset_1(k3_mesfunc5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k3_mesfunc8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k3_mesfunc8(A,B)) & v1_funct_2(k3_mesfunc8(A,B),k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(k3_mesfunc8(A,B),A,k6_numbers) & m1_subset_1(k3_mesfunc8(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) ) )).
fof(dt_k3_mesfunc9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k3_mesfunc9(A,B)) & v1_funct_2(k3_mesfunc9(A,B),k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(k3_mesfunc9(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) ) )).
fof(dt_k3_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k3_metric_1(A,B,C)) ) )).
fof(dt_k3_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & m1_subset_1(B,k2_metric_2(A)) & m1_subset_1(C,k2_metric_2(A)) ) => m1_subset_1(k3_metric_2(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k3_metric_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k3_metric_6(A,B,C)) & v1_funct_2(k3_metric_6(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k3_metric_6(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_mfold_0,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) & l1_pre_topc(B) ) => m1_subset_1(k3_mfold_0(A,B),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k3_mfold_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ~ v2_struct_0(k3_mfold_2(A,B,C)) & m1_pre_topc(k3_mfold_2(A,B,C),k15_euclid(A)) ) ) )).
fof(dt_k3_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_midsp_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_midsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_midsp_2(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_midsp_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,k4_finseq_2(C,u1_struct_0(B))) & m1_subset_1(F,k4_finseq_2(D,u1_struct_0(B))) ) => m2_finseq_2(k3_midsp_3(A,B,C,D,E,F),u1_struct_0(B),k4_finseq_2(k2_xcmplx_0(C,D),u1_struct_0(B))) ) )).
fof(dt_k3_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => m1_subset_1(k3_mmlquer2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k3_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k3_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k3_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & l1_mod_2(B,A) ) => ( ~ v2_struct_0(k3_mod_2(A,B)) & v13_algstr_0(k3_mod_2(A,B)) & v8_vectsp_1(k3_mod_2(A,B),A) & v9_vectsp_1(k3_mod_2(A,B),A) & v10_vectsp_1(k3_mod_2(A,B),A) & v11_vectsp_1(k3_mod_2(A,B),A) & v2_rlvect_1(k3_mod_2(A,B)) & v3_rlvect_1(k3_mod_2(A,B)) & v4_rlvect_1(k3_mod_2(A,B)) & l1_vectsp_1(k3_mod_2(A,B),A) ) ) )).
fof(dt_k3_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v2_vectsp_2(k3_mod_4(A,B),k2_mod_4(A)) & l1_vectsp_2(k3_mod_4(A,B),k2_mod_4(A)) ) ) )).
fof(dt_k3_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => m1_modcat_1(k3_modcat_1(A,B),B) ) )).
fof(dt_k3_modelc_2,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k3_modelc_2(A),k4_ordinal1) ) )).
fof(dt_k3_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k3_modelc_3(A),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_k3_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k3_moebius1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k3_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k3_moebius2(A)) & v4_relat_1(k3_moebius2(A),k8_newton) & v1_funct_1(k3_moebius2(A)) & v1_partfun1(k3_moebius2(A),k8_newton) ) ) )).
fof(dt_k3_monoid_0,axiom,( ~ v2_struct_0(k3_monoid_0) & v15_algstr_0(k3_monoid_0) & m2_monoid_0(k3_monoid_0,k2_monoid_0) )).
fof(dt_k3_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(G) & v1_funct_2(G,A,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => m2_funct_2(k3_monoid_1(A,B,C,D,E,F,G),A,D,k9_funct_2(A,D)) ) )).
fof(dt_k3_morph_01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k3_morph_01(A,B)) & v1_funct_2(k3_morph_01(A,B),k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k3_morph_01(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k3_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k3_msafree(A,B)) & v1_funct_1(k3_msafree(A,B)) ) ) )).
fof(dt_k3_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => m1_subset_1(k3_msafree2(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_relat_1(C) ) => m3_pboole(k3_msafree3(A,B,C),u1_struct_0(A),B) ) )).
fof(dt_k3_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( v1_relat_1(k3_msafree4(A,B,C,D)) & v4_relat_1(k3_msafree4(A,B,C,D),B) & v1_funct_1(k3_msafree4(A,B,C,D)) & v1_partfun1(k3_msafree4(A,B,C,D),B) ) ) )).
fof(dt_k3_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_catalg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,B))) ) => m1_subset_1(k3_msafree5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_msalimit(C,A,B) & m2_msalimit(D,A,B,C) ) => ( v3_msualg_1(k3_msalimit(A,B,C,D),B) & m1_msualg_2(k3_msalimit(A,B,C,D),B,k14_pralg_2(u1_struct_0(A),B,C)) ) ) )).
fof(dt_k3_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_msaterm(A,B)) & m1_subset_1(D,k9_xtuple_0(C)) ) => m1_subset_1(k3_msaterm(A,B,C,D),u1_struct_0(k5_msafree(A,B))) ) )).
fof(dt_k3_msscyc_2,axiom,( ! [A] : ( l1_msualg_1(A) => ( v1_funct_1(k3_msscyc_2(A)) & v1_funct_2(k3_msscyc_2(A),k1_msscyc_2(A),u1_struct_0(A)) & m1_subset_1(k3_msscyc_2(A),k1_zfmisc_1(k2_zfmisc_1(k1_msscyc_2(A),u1_struct_0(A)))) ) ) )).
fof(dt_k3_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m3_pboole(C,A,k1_mboolean(A,B)) ) => ( v1_relat_1(k3_mssubfam(A,B,C)) & v4_relat_1(k3_mssubfam(A,B,C),A) & v1_funct_1(k3_mssubfam(A,B,C)) & v1_partfun1(k3_mssubfam(A,B,C),A) ) ) )).
fof(dt_k3_msualg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & l3_msualg_1(C,A) ) => m1_subset_1(k3_msualg_1(A,B,C),k10_xtuple_0(k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,C)))) ) )).
fof(dt_k3_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) & m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) ) => ( v1_funct_1(k3_msualg_2(A,B,C,D)) & v1_funct_2(k3_msualg_2(A,B,C,D),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),D)),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),D),C)) & m1_subset_1(k3_msualg_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),D)),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),D),C)))) ) ) )).
fof(dt_k3_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & m2_pboole(E,A,B,C) & m2_pboole(F,A,C,D) ) => m2_pboole(k3_msualg_3(A,B,C,D,E,F),A,B,D) ) )).
fof(dt_k3_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) ) => m1_subset_1(k3_msualg_4(A,B,C,D,E),k1_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D))) ) )).
fof(dt_k3_msualg_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_msualg_4(C,A,B,B) ) => ( v1_msualg_4(k3_msualg_5(A,B,C),A,B) & m1_msualg_4(k3_msualg_5(A,B,C),A,B,B) ) ) )).
fof(dt_k3_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => m1_subset_1(k3_msualg_6(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k3_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_msualg_5(A,B)))) ) => m1_subset_1(k3_msualg_8(A,B,C,D),k1_zfmisc_1(u1_struct_0(k2_msualg_5(k1_funct_1(B,C))))) ) )).
fof(dt_k3_mycielsk,axiom,( ! [A] : ( ( v2_mycielsk(A) & l1_orders_2(A) ) => v7_ordinal1(k3_mycielsk(A)) ) )).
fof(dt_k3_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_funct_1(k3_nagata_1(A,B,C)) & v1_funct_2(k3_nagata_1(A,B,C),u1_struct_0(A),k1_numbers) & m1_subset_1(k3_nagata_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(dt_k3_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_funct_1(k3_nagata_2(A,B,C)) & v1_funct_2(k3_nagata_2(A,B,C),A,k1_numbers) & m1_subset_1(k3_nagata_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k3_nat_1,axiom,( ! [A] : m1_subset_1(k3_nat_1(A),k4_ordinal1) )).
fof(dt_k3_nat_3,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => m2_finseq_1(k3_nat_3(A,B),k4_ordinal1) ) )).
fof(dt_k3_nat_5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k3_nat_5(A,B),k4_ordinal1) ) )).
fof(dt_k3_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k3_nat_d(A,B),k4_ordinal1) ) )).
fof(dt_k3_nat_lat,axiom,( ~ v2_struct_0(k3_nat_lat) & v3_lattices(k3_nat_lat) & l3_lattices(k3_nat_lat) )).
fof(dt_k3_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m1_nattra_1(F,A,B,C,D) & m1_nattra_1(G,A,B,D,E) ) => m1_nattra_1(k3_nattra_1(A,B,C,D,E,F,G),A,B,C,E) ) )).
fof(dt_k3_ndiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k3_ndiff_1(A,B,C,D),u1_struct_0(k16_lopban_1(A,B))) ) )).
fof(dt_k3_ndiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => m1_subset_1(k3_ndiff_2(A,B,C,D,E),u1_struct_0(B)) ) )).
fof(dt_k3_ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) & m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) ) => ( v1_funct_1(k3_ndiff_4(A,B,C)) & v1_funct_2(k3_ndiff_4(A,B,C),u1_struct_0(k4_real_ns1(A)),k1_numbers) & m1_subset_1(k3_ndiff_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) ) ) )).
fof(dt_k3_ndiff_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & m1_subset_1(B,k4_finseq_1(A)) ) => ( v1_funct_1(k3_ndiff_5(A,B)) & v1_funct_2(k3_ndiff_5(A,B),u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,B))) & m1_subset_1(k3_ndiff_5(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,B))))) ) ) )).
fof(dt_k3_ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v7_ordinal1(C) ) => ( ~ v2_struct_0(k3_ndiff_6(A,B,C)) & v13_algstr_0(k3_ndiff_6(A,B,C)) & v2_rlvect_1(k3_ndiff_6(A,B,C)) & v3_rlvect_1(k3_ndiff_6(A,B,C)) & v4_rlvect_1(k3_ndiff_6(A,B,C)) & v5_rlvect_1(k3_ndiff_6(A,B,C)) & v6_rlvect_1(k3_ndiff_6(A,B,C)) & v7_rlvect_1(k3_ndiff_6(A,B,C)) & v8_rlvect_1(k3_ndiff_6(A,B,C)) & v3_normsp_0(k3_ndiff_6(A,B,C)) & v4_normsp_0(k3_ndiff_6(A,B,C)) & v2_normsp_1(k3_ndiff_6(A,B,C)) & l1_normsp_1(k3_ndiff_6(A,B,C)) ) ) )).
fof(dt_k3_ndiff_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k3_ndiff_7(A,B)) & v1_funct_2(k3_ndiff_7(A,B),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v13_vectsp_1(k3_ndiff_7(A,B),k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_lopban_1(k3_ndiff_7(A,B),k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & m1_subset_1(k3_ndiff_7(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))))) ) ) )).
fof(dt_k3_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(k3_necklace(A)) & l1_orders_2(k3_necklace(A)) ) ) )).
fof(dt_k3_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => m1_subset_1(k3_normform(A,B,C,D),k2_zfmisc_1(A,B)) ) )).
fof(dt_k3_normsp_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) ) => ( v1_relat_1(k3_normsp_0(A,B)) & v1_funct_1(k3_normsp_0(A,B)) ) ) )).
fof(dt_k3_normsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k3_normsp_1(A,B,C)) & v1_funct_2(k3_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k3_normsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k3_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k3_normsp_2(A)) & v2_pre_topc(k3_normsp_2(A)) & l1_pre_topc(k3_normsp_2(A)) ) ) )).
fof(dt_k3_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k3_normsp_3(A,B)) & l1_normsp_1(k3_normsp_3(A,B)) ) ) )).
fof(dt_k3_ntalgo_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) ) => m1_subset_1(k3_ntalgo_1(A,B),k4_numbers) ) )).
fof(dt_k3_numpoly1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_numpoly1(B,A) ) => v1_xreal_0(k3_numpoly1(A,B)) ) )).
fof(dt_k3_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => m2_subset_1(k3_openlatt(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_openlatt(A)) ) )).
fof(dt_k3_oppcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_oppcat_1(A,B),u1_struct_0(k2_oppcat_1(A))) ) )).
fof(dt_k3_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k3_ordeq_01(A,B)) & v1_funct_2(k3_ordeq_01(A,B),k1_ordeq_01(A,B),k1_numbers) & m1_subset_1(k3_ordeq_01(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_ordeq_01(A,B),k1_numbers))) ) ) )).
fof(dt_k3_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_orders_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_ordinal2,axiom,( ! [A] : v3_ordinal1(k3_ordinal2(A)) )).
fof(dt_k3_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( v3_ordinal1(k3_ordinal4(A)) & ~ v1_xboole_0(k3_ordinal4(A)) & m1_subset_1(k3_ordinal4(A),A) ) ) )).
fof(dt_k3_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => v3_ordinal1(k3_ordinal5(A)) ) )).
fof(dt_k3_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( v1_relat_1(k3_ordinal6(A)) & v1_funct_1(k3_ordinal6(A)) & v5_ordinal1(k3_ordinal6(A)) & v1_ordinal2(k3_ordinal6(A)) ) ) )).
fof(dt_k3_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m1_subset_1(k3_osafree(A,B,C),u1_struct_0(k2_osafree(A,B))) ) )).
fof(dt_k3_osalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) ) => ( v1_relat_1(k3_osalg_1(A,B)) & v4_relat_1(k3_osalg_1(A,B),u1_struct_0(A)) & v1_funct_1(k3_osalg_1(A,B)) & v1_partfun1(k3_osalg_1(A,B),u1_struct_0(A)) ) ) )).
fof(dt_k3_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => m2_osalg_2(k3_osalg_2(A,B),A,B) ) )).
fof(dt_k3_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m2_subset_1(k3_osalg_4(A,B),k1_zfmisc_1(u1_struct_0(A)),k2_osalg_4(A)) ) )).
fof(dt_k3_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k3_parsp_1(A)) & v1_funct_2(k3_parsp_1(A),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & m1_subset_1(k3_parsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))))) ) ) )).
fof(dt_k3_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_funct_1(k3_partfun1(A,B,C)) & m1_subset_1(k3_partfun1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) )).
fof(dt_k3_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k3_partfun2(A,B,C,D)) & m1_subset_1(k3_partfun2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k3_partit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => m1_eqrel_1(k3_partit1(A,B,C),A) ) )).
fof(dt_k3_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k3_pboole(A,B,C)) & v4_relat_1(k3_pboole(A,B,C),A) & v1_funct_1(k3_pboole(A,B,C)) & v1_partfun1(k3_pboole(A,B,C),A) ) ) )).
fof(dt_k3_pcomps_1,axiom,( ! [A] : ( l1_metric_1(A) => l1_pre_topc(k3_pcomps_1(A)) ) )).
fof(dt_k3_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => m1_subset_1(k3_pcs_0(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) ) )).
fof(dt_k3_pdiff_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( v1_funct_1(k3_pdiff_1(A,B)) & m1_subset_1(k3_pdiff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(1)))) ) ) )).
fof(dt_k3_pdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) & m1_subset_1(B,k1_euclid(2)) ) => v1_xreal_0(k3_pdiff_3(A,B)) ) )).
fof(dt_k3_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k3_pdiff_5(A,B)) ) )).
fof(dt_k3_pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v7_ordinal1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( v1_funct_1(k3_pdiff_9(A,B,C,D)) & m1_subset_1(k3_pdiff_9(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) ) )).
fof(dt_k3_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v13_pencil_1(B) & v16_pencil_1(B,A) ) => m1_subset_1(k3_pencil_1(A,B),A) ) )).
fof(dt_k3_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_pre_topc(A)) ) => m1_subset_1(k3_pencil_2(A,B,C),u1_pre_topc(A)) ) )).
fof(dt_k3_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) & ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) ) => ( v1_funct_1(k3_pencil_3(A,B,C,D)) & v1_funct_2(k3_pencil_3(A,B,C,D),u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D))))) & m1_subset_1(k3_pencil_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D))))))) ) ) )).
fof(dt_k3_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & v7_ordinal1(E) ) => m1_subset_1(k3_pencil_4(A,B,C,D,E),k1_zfmisc_1(k2_vectsp_9(A,B,E))) ) )).
fof(dt_k3_pepin,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k3_pepin(A,B),k4_ordinal1) ) )).
fof(dt_k3_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u1_petri(A)) ) => m1_subset_1(k3_petri(A,B),u4_struct_0(A)) ) )).
fof(dt_k3_petri_df,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_finseq_1(B,k2_net_1(A)) ) => ( v1_finset_1(k3_petri_df(A,B)) & m1_subset_1(k3_petri_df(A,B),k1_zfmisc_1(u4_struct_0(A))) ) ) )).
fof(dt_k3_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( v1_funct_1(k3_pnproc_1(A,B,C)) & v1_funct_2(k3_pnproc_1(A,B,C),A,k4_ordinal1) & m1_subset_1(k3_pnproc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) )).
fof(dt_k3_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k3_polyalg1(A)) & v1_polyalg1(k3_polyalg1(A),A) & l1_polyalg1(k3_polyalg1(A),A) ) ) )).
fof(dt_k3_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => m1_subset_1(k3_polyeq_3(A),k2_numbers) ) )).
fof(dt_k3_polyeq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_xcmplx_0(k3_polyeq_5(A,B,C)) ) )).
fof(dt_k3_polyform,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_int_1(B) & v1_int_1(C) ) => m2_finseq_1(k3_polyform(A,B,C),k4_numbers) ) )).
fof(dt_k3_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => m1_subset_1(k3_polynom1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k3_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_polynom2(A,B,C)) & v1_funct_2(k3_polynom2(A,B,C),u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)) & m1_subset_1(k3_polynom2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)))) ) ) )).
fof(dt_k3_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_finseq_2(B,A)) & m1_subset_1(E,k4_finseq_2(C,A)) ) => m2_finseq_2(k3_polynom3(A,B,C,D,E),A,k4_finseq_2(k1_nat_1(B,C),A)) ) )).
fof(dt_k3_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( v1_funct_1(k3_polynom5(A,B,C)) & v1_funct_2(k3_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k3_polynom5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k3_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => m1_subset_1(k3_polynom7(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k3_polynom8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( v1_matrix_0(k3_polynom8(A,B,C)) & v2_matrix_0(k3_polynom8(A,B,C),u1_struct_0(B),A,1) & m2_finseq_1(k3_polynom8(A,B,C),k3_finseq_2(u1_struct_0(B))) ) ) )).
fof(dt_k3_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => m1_subset_1(k3_polyred(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C))))) ) )).
fof(dt_k3_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k3_poset_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(k3_poset_2(A),k1_zfmisc_1(k2_zfmisc_1(k1_ordinal1(A),k1_ordinal1(A)))) ) )).
fof(dt_k3_power,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k3_power(A,B)) ) )).
fof(dt_k3_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & ~ v1_xboole_0(C) & v2_margrel1(C) & v3_margrel1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) & v1_funct_1(D) & ~ v1_xboole_0(D) & v2_margrel1(D) & v3_margrel1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B),B))) ) => ( v1_funct_1(k3_pralg_1(A,B,C,D)) & ~ v1_xboole_0(k3_pralg_1(A,B,C,D)) & v2_margrel1(k3_pralg_1(A,B,C,D)) & v3_margrel1(k3_pralg_1(A,B,C,D),k2_zfmisc_1(A,B)) & m1_subset_1(k3_pralg_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) ) ) )).
fof(dt_k3_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) & v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_pralg_3(k3_pralg_3(A,B,C,D),k8_eqrel_1(A,D),k6_partfun1(k8_eqrel_1(A,D)),B) ) )).
fof(dt_k3_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m2_finseq_2(k3_pre_poly(A,B),A,k3_finseq_2(A)) ) )).
fof(dt_k3_prefer_1,axiom,( ! [A] : ( v3_prefer_1(k3_prefer_1(A)) & l3_prefer_1(k3_prefer_1(A)) ) )).
fof(dt_k3_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_prelamb(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_subset_1(k3_prob_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k3_prob_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & m1_subset_1(D,B) ) => m2_prob_1(k3_prob_2(A,B,C,D),A,B) ) )).
fof(dt_k3_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k3_prob_3(A,B)) & v1_funct_2(k3_prob_3(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k3_prob_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k3_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => m2_prob_1(k3_prob_4(A,B,C),A,B) ) )).
fof(dt_k3_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => ( v1_funct_1(k3_prvect_1(A,B,C)) & v1_funct_2(k3_prvect_1(A,B,C),k4_finseq_2(C,A),k4_finseq_2(C,A)) & m1_subset_1(k3_prvect_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)))) ) ) )).
fof(dt_k3_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) & m1_subset_1(B,k4_finseq_1(A)) ) => ( ~ v2_struct_0(k3_prvect_2(A,B)) & v13_algstr_0(k3_prvect_2(A,B)) & v2_rlvect_1(k3_prvect_2(A,B)) & v3_rlvect_1(k3_prvect_2(A,B)) & v4_rlvect_1(k3_prvect_2(A,B)) & v5_rlvect_1(k3_prvect_2(A,B)) & v6_rlvect_1(k3_prvect_2(A,B)) & v7_rlvect_1(k3_prvect_2(A,B)) & v8_rlvect_1(k3_prvect_2(A,B)) & l1_rlvect_1(k3_prvect_2(A,B)) ) ) )).
fof(dt_k3_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) ) => m1_subset_1(k3_prvect_3(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) ) )).
fof(dt_k3_pscomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k3_pscomp_1(A,B,C)) & v1_funct_2(k3_pscomp_1(A,B,C),u1_struct_0(k1_pre_topc(A,C)),k1_numbers) & m1_subset_1(k3_pscomp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)),k1_numbers))) ) ) )).
fof(dt_k3_pua2mss1,axiom,( ! [A] : ! [B] : ( m2_pua2mss1(B,A) => m1_eqrel_1(k3_pua2mss1(A,B),A) ) )).
fof(dt_k3_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k3_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1(A))) ) )).
fof(dt_k3_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k3_qc_lang2(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k3_qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => m2_subset_1(k3_qc_lang3(A,B),k2_qc_lang1(A),k5_qc_lang1(A)) ) )).
fof(dt_k3_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m4_trees_1(k3_qc_lang4(A,B,C),k9_xtuple_0(k2_qc_lang4(A,B))) ) )).
fof(dt_k3_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) & v7_ordinal1(C) & m1_subset_1(D,k8_qc_lang1(A,C)) ) => m2_subset_1(k3_qc_trans(A,B,C,D),k6_qc_lang1(B),k8_qc_lang1(B,C)) ) )).
fof(dt_k3_quantal1,axiom,( ! [A] : ( l3_quantal1(A) => m1_subset_1(k3_quantal1(A),u1_struct_0(A)) ) )).
fof(dt_k3_quatern2,axiom,( m1_subset_1(k3_quatern2,k1_quaterni) )).
fof(dt_k3_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => m2_subset_1(k3_quofield(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) ) )).
fof(dt_k3_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k3_radix_1(A)) & m1_subset_1(k3_radix_1(A),k1_zfmisc_1(k4_numbers)) ) ) )).
fof(dt_k3_radix_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,A) & m1_finseq_1(C,k4_ordinal1) ) => m1_subset_1(k3_radix_2(A,B,C),k4_ordinal1) ) )).
fof(dt_k3_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k3_radix_3(A)) & m1_subset_1(k3_radix_3(A),k1_zfmisc_1(k4_numbers)) ) ) )).
fof(dt_k3_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m2_subset_1(k3_radix_5(A,B,C),k4_numbers,k3_radix_1(C)) ) )).
fof(dt_k3_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,k2_xcmplx_0(B,2)) & m1_finseq_1(D,k3_radix_1(C)) ) => m1_subset_1(k3_radix_6(A,B,C,D),k3_radix_1(C)) ) )).
fof(dt_k3_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => m1_random_1(k3_random_1(A,B,C,D),A,B) ) )).
fof(dt_k3_random_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ~ v1_xboole_0(k3_random_2(A,B)) & m1_subset_1(k3_random_2(A,B),k1_zfmisc_1(u1_struct_0(k12_funcsdom(A)))) ) ) )).
fof(dt_k3_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v7_vectsp_1(k3_ranknull(A,B,C,D),A) & m1_vectsp_4(k3_ranknull(A,B,C,D),A,C) ) ) )).
fof(dt_k3_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & ~ v1_ratfunc1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_ratfunc1(k3_ratfunc1(A,B,C),A) ) )).
fof(dt_k3_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xxreal_0(B) ) => m1_subset_1(k3_rcomp_1(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k3_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k3_real_1(A,B),k1_numbers) ) )).
fof(dt_k3_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k3_real_3(A)) & v1_funct_2(k3_real_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k3_real_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_real_lat,axiom,( v3_lattices(k3_real_lat) & l3_lattices(k3_real_lat) )).
fof(dt_k3_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k3_real_ns1(A)) & v1_funct_2(k3_real_ns1(A),k1_euclid(A),k1_numbers) & m1_subset_1(k3_real_ns1(A),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) ) )).
fof(dt_k3_rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_rearran1(C) & v2_rearran1(C) & v3_rearran1(C,k1_zfmisc_1(B)) & m1_finseq_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k3_rearran1(A,B,C,D)) & m1_subset_1(k3_rearran1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k3_relat_1,axiom,( ! [A] : ! [B] : v1_relat_1(k3_relat_1(A,B)) )).
fof(dt_k3_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k3_relset_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) )).
fof(dt_k3_relset_2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v1_relat_1(k3_relset_2(A,B)) & v1_funct_1(k3_relset_2(A,B)) ) ) )).
fof(dt_k3_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k8_afinsq_1(A)) & v7_ordinal1(C) ) => m1_subset_1(k3_rewrite2(A,B,C),k8_afinsq_1(A)) ) )).
fof(dt_k3_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => m1_subset_1(k3_rewrite3(A,B,C,D,E),k1_zfmisc_1(u1_struct_0(C))) ) )).
fof(dt_k3_rfinseq,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => m2_finseq_1(k3_rfinseq(A),k1_numbers) ) )).
fof(dt_k3_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v1_xreal_0(k3_rfinseq2(A)) ) )).
fof(dt_k3_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k3_rfunct_1(A,B,C,D)) & m1_subset_1(k3_rfunct_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k3_rfunct_3,axiom,( ! [A] : ! [B] : m1_rfunct_3(k3_rfunct_3(A,B),A,B) )).
fof(dt_k3_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k3_rinfsup1(A)) & v1_funct_2(k3_rinfsup1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k3_rinfsup1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v1_funct_1(k3_rinfsup2(A)) & v1_funct_2(k3_rinfsup2(A),k4_ordinal1,k6_numbers) & m1_subset_1(k3_rinfsup2(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k3_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k3_ring_2(A,B)) & v1_funct_2(k3_ring_2(A,B),u1_struct_0(A),u1_struct_0(k2_ring_1(A,B))) & m1_subset_1(k3_ring_2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_ring_1(A,B))))) ) ) )).
fof(dt_k3_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( v1_funct_1(k3_ringcat1(A)) & v1_funct_2(k3_ringcat1(A),u1_struct_0(u1_ringcat1(A)),u1_struct_0(u2_ringcat1(A))) & m1_subset_1(k3_ringcat1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_ringcat1(A)),u1_struct_0(u2_ringcat1(A))))) ) ) )).
fof(dt_k3_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) ) => v1_xreal_0(k3_rlaffin1(A,B)) ) )).
fof(dt_k3_rlsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_rlsub_1(C,A) ) => m1_subset_1(k3_rlsub_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rltopsp1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k3_rltopsp1(A,B)) & v1_funct_2(k3_rltopsp1(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k3_rltopsp1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k3_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_rlvect_1(A) & l1_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_rlvect_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k9_funct_2(u1_struct_0(A),k1_numbers)) ) => m1_subset_1(k3_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_rlvect_x(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_rmod_2(D,A,B) ) => m1_subset_1(k3_rmod_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k3_rmod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => m1_rmod_4(k3_rmod_4(A,B),A,B) ) )).
fof(dt_k3_robbins1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_robbins1(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_roughs_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_roughs_2(A)) & v1_funct_2(k3_roughs_2(A),k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k3_roughs_2(A),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k3_rsspace,axiom,( m1_subset_1(k3_rsspace,k1_rsspace) )).
fof(dt_k3_rsspace3,axiom,( ~ v2_struct_0(k3_rsspace3) & l1_normsp_1(k3_rsspace3) )).
fof(dt_k3_rsspace4,axiom,( ~ v2_struct_0(k3_rsspace4) & l1_normsp_1(k3_rsspace4) )).
fof(dt_k3_rusub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_rusub_1(C,A) ) => m1_subset_1(k3_rusub_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_rusub_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ( ~ v1_xboole_0(k3_rusub_4(A,B)) & m1_subset_1(k3_rusub_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k3_rusub_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_bhsp_1(k3_rusub_5(A,B)) & m1_rusub_1(k3_rusub_5(A,B),A) ) ) )).
fof(dt_k3_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k3_rvsum_1(A)) & v1_funct_2(k3_rvsum_1(A),k1_numbers,k1_numbers) & m1_subset_1(k3_rvsum_1(A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k3_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => m2_finseq_1(k3_rvsum_2(A,B),k2_numbers) ) )).
fof(dt_k3_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m1_subset_1(k3_rvsum_3(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k3_scm_comp,axiom,( ! [A] : ( m1_subset_1(A,k6_dtconstr(k1_scm_comp)) => m1_dtconstr(k3_scm_comp(A),u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) ) )).
fof(dt_k3_scm_inst,axiom,( ~ v1_xboole_0(k3_scm_inst) )).
fof(dt_k3_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) ) ) )).
fof(dt_k3_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k3_scmfsa8b(A,B,C,D)) & v1_relat_1(k3_scmfsa8b(A,B,C,D)) & v4_relat_1(k3_scmfsa8b(A,B,C,D),k4_ordinal1) & v5_relat_1(k3_scmfsa8b(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa8b(A,B,C,D)) & v1_finset_1(k3_scmfsa8b(A,B,C,D)) & v1_afinsq_1(k3_scmfsa8b(A,B,C,D)) ) ) )).
fof(dt_k3_scmfsa_1,axiom,( m1_subset_1(k3_scmfsa_1,k1_zfmisc_1(k1_scmfsa_1)) )).
fof(dt_k3_scmfsa_2,axiom,( m1_subset_1(k3_scmfsa_2,k1_zfmisc_1(u1_struct_0(k1_scmfsa_2))) )).
fof(dt_k3_scmfsa_7,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & m1_finseq_1(B,k4_numbers) ) => ( v1_relat_1(k3_scmfsa_7(A,B)) & v5_relat_1(k3_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & v5_ordinal1(k3_scmfsa_7(A,B)) & v1_funct_1(k3_scmfsa_7(A,B)) & v1_finset_1(k3_scmfsa_7(A,B)) ) ) )).
fof(dt_k3_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => m1_subset_1(k3_scmfsa_i(A),k2_scm_inst) ) )).
fof(dt_k3_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k3_scmfsa_2)) ) => m1_scmfsa_2(k3_scmfsa_m(A)) ) )).
fof(dt_k3_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k3_scmfsa_x(A,B)) & v4_relat_1(k3_scmfsa_x(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa_x(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k3_scmfsa_x(A,B)) & v1_funct_1(k3_scmfsa_x(A,B)) & v1_finset_1(k3_scmfsa_x(A,B)) & v1_afinsq_1(k3_scmfsa_x(A,B)) ) ) )).
fof(dt_k3_scmisort,axiom,( ~ v1_xboole_0(k3_scmisort) & v1_relat_1(k3_scmisort) & v4_relat_1(k3_scmisort,k4_ordinal1) & v5_relat_1(k3_scmisort,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmisort) & v1_finset_1(k3_scmisort) & v1_afinsq_1(k3_scmisort) )).
fof(dt_k3_scmp_gcd,axiom,( v1_ami_2(k3_scmp_gcd) & m1_subset_1(k3_scmp_gcd,u1_struct_0(k1_scmpds_2)) )).
fof(dt_k3_scmpds_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_ami_2) & v1_int_1(B) ) => m2_finseq_1(k3_scmpds_1(A,B),k2_xboole_0(k2_ami_2,k4_numbers)) ) )).
fof(dt_k3_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => m1_subset_1(k3_scmpds_2(A),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k3_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k3_scmpds_4(A,B)) & v4_relat_1(k3_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k3_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_4(A,B)) & v1_funct_1(k3_scmpds_4(A,B)) & v1_finset_1(k3_scmpds_4(A,B)) & v1_afinsq_1(k3_scmpds_4(A,B)) ) ) )).
fof(dt_k3_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( v1_relat_1(k3_scmpds_6(A,B,C,D)) & v4_relat_1(k3_scmpds_6(A,B,C,D),k4_ordinal1) & v5_relat_1(k3_scmpds_6(A,B,C,D),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_6(A,B,C,D)) & v1_funct_1(k3_scmpds_6(A,B,C,D)) & v1_finset_1(k3_scmpds_6(A,B,C,D)) & v1_afinsq_1(k3_scmpds_6(A,B,C,D)) ) ) )).
fof(dt_k3_scmpds_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k3_scmpds_7(A)) & v4_relat_1(k3_scmpds_7(A),k4_ordinal1) & v5_relat_1(k3_scmpds_7(A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_7(A)) & v1_funct_1(k3_scmpds_7(A)) & v1_finset_1(k3_scmpds_7(A)) & v1_afinsq_1(k3_scmpds_7(A)) ) ) )).
fof(dt_k3_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => m1_subset_1(k3_scmpds_i(A),k2_scm_inst) ) )).
fof(dt_k3_scmring1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) & v7_ordinal1(C) ) => m1_subset_1(k3_scmring1(A,B,C),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) ) )).
fof(dt_k3_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => m1_subset_1(k3_scmring2(A,B,C),u1_compos_1(k1_scmring2(A))) ) )).
fof(dt_k3_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_scmringi(A)) ) => m1_subset_1(k3_scmringi(A,B),k2_scm_inst) ) )).
fof(dt_k3_scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => v7_ordinal1(k3_scmyciel(A)) ) )).
fof(dt_k3_scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( ~ v1_xboole_0(k3_scpinvar(A,B,C)) & v1_relat_1(k3_scpinvar(A,B,C)) & v4_relat_1(k3_scpinvar(A,B,C),k4_ordinal1) & v5_relat_1(k3_scpinvar(A,B,C),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k3_scpinvar(A,B,C)) & v1_finset_1(k3_scpinvar(A,B,C)) & v1_afinsq_1(k3_scpinvar(A,B,C)) ) ) )).
fof(dt_k3_semi_af1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k3_semi_af1(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k3_seq_4,axiom,( ! [A] : ( v3_membered(A) => v1_xreal_0(k3_seq_4(A)) ) )).
fof(dt_k3_seqfunc,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k3_seqfunc(A,B)) & v1_funct_2(k3_seqfunc(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k3_seqfunc(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k3_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k3_series_1(A)) & v1_funct_2(k3_series_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k3_series_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k3_setlim_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k3_setlim_1(A)) & v1_funct_1(k3_setlim_1(A)) ) ) )).
fof(dt_k3_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k3_setlim_2(A,B,C)) & v1_funct_2(k3_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k3_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k3_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k3_setwiseo(A,B,C),k5_finsub_1(A)) ) )).
fof(dt_k3_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(k3_sf_mastr(A),k1_zfmisc_1(k2_scmfsa_2)) ) )).
fof(dt_k3_sfmastr2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( v1_funct_1(k3_sfmastr2(A,B,C,D)) & v1_funct_2(k3_sfmastr2(A,B,C,D),k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(k3_sfmastr2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) ) )).
fof(dt_k3_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(D) ) => ( v1_relat_1(k3_sfmastr3(A,B,C,D)) & v4_relat_1(k3_sfmastr3(A,B,C,D),k4_ordinal1) & v5_relat_1(k3_sfmastr3(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_sfmastr3(A,B,C,D)) & ~ v1_xboole_0(k3_sfmastr3(A,B,C,D)) & v1_finset_1(k3_sfmastr3(A,B,C,D)) & v1_afinsq_1(k3_sfmastr3(A,B,C,D)) & v3_compos_1(k3_sfmastr3(A,B,C,D),k1_scmfsa_2) & v4_compos_1(k3_sfmastr3(A,B,C,D),k1_scmfsa_2) ) ) )).
fof(dt_k3_sheffer1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k3_sheffer1(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_simplex0,axiom,( ! [A] : ! [B] : ! [C] : m1_subset_1(k3_simplex0(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) )).
fof(dt_k3_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_simplex0(B,u1_struct_0(A)) ) => m1_subset_1(k3_simplex1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( v1_funct_1(k3_sin_cos(A)) & v1_funct_2(k3_sin_cos(A),k4_ordinal1,k2_numbers) & m1_subset_1(k3_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k3_sin_cos2,axiom,( v1_funct_1(k3_sin_cos2) & v1_funct_2(k3_sin_cos2,k1_numbers,k1_numbers) & m1_subset_1(k3_sin_cos2,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k3_sin_cos3,axiom,( v1_funct_1(k3_sin_cos3) & v1_funct_2(k3_sin_cos3,k2_numbers,k2_numbers) & m1_subset_1(k3_sin_cos3,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k3_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k3_sin_cos4(A)) ) )).
fof(dt_k3_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k3_sin_cos5(A)) ) )).
fof(dt_k3_sin_cos6,axiom,( v1_funct_1(k3_sin_cos6) & m1_subset_1(k3_sin_cos6,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k3_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k3_sin_cos7(A)) ) )).
fof(dt_k3_sincos10,axiom,( v1_funct_1(k3_sincos10) & m1_subset_1(k3_sincos10,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k3_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k3_square_1(A)) ) )).
fof(dt_k3_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ( v1_funct_1(k3_stacks_1(A,B,C,D)) & v1_funct_2(k3_stacks_1(A,B,C,D),k2_zfmisc_1(A,k8_eqrel_1(B,C)),k8_eqrel_1(B,C)) & m1_subset_1(k3_stacks_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,k8_eqrel_1(B,C)),k8_eqrel_1(B,C)))) ) ) )).
fof(dt_k3_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k3_struct_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k3_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_valuat_1(A,C)) ) => ( v1_funct_1(k3_sublemma(A,B,C,D)) & m1_subset_1(k3_sublemma(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),C))) ) ) )).
fof(dt_k3_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k3_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => m2_subset_1(k3_substlat(A,B,C),k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) ) )).
fof(dt_k3_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k2_qc_lang1(A)) & m1_subset_1(C,k1_substut1(A)) ) => m2_finseq_1(k3_substut1(A,B,C),k2_qc_lang1(A)) ) )).
fof(dt_k3_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => m1_subset_1(k3_substut2(A,B,C),k1_substut1(A)) ) )).
fof(dt_k3_supinf_1,axiom,( ! [A] : ( v2_membered(A) => v2_membered(k3_supinf_1(A)) ) )).
fof(dt_k3_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => m1_subset_1(k3_supinf_2(A,B),k6_numbers) ) )).
fof(dt_k3_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_pre_topc(k3_t_0topsp(A)) & l1_pre_topc(k3_t_0topsp(A)) ) ) )).
fof(dt_k3_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k3_t_1topsp(A)) & v1_funct_2(k3_t_1topsp(A),u1_struct_0(A),u1_struct_0(k2_t_1topsp(A))) & v5_pre_topc(k3_t_1topsp(A),A,k2_t_1topsp(A)) & m1_subset_1(k3_t_1topsp(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_t_1topsp(A))))) ) ) )).
fof(dt_k3_taxonom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & v1_xreal_0(B) ) => m1_subset_1(k3_taxonom1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k3_taylor_1,axiom,( v1_funct_1(k3_taylor_1) & m1_subset_1(k3_taylor_1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k3_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k3_tdlat_1(A)) & v1_funct_2(k3_tdlat_1(A),k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)) & m1_subset_1(k3_tdlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tdlat_1(A),k1_tdlat_1(A)),k1_tdlat_1(A)))) ) ) )).
fof(dt_k3_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => m2_subset_1(k3_termord(A,B,C,D),k14_pre_poly(A),k15_pre_poly(A)) ) )).
fof(dt_k3_tex_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => l1_pre_topc(k3_tex_1(A,B)) ) )).
fof(dt_k3_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => m1_subset_1(k3_tietze_2(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k3_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_pre_topc(C,A) & m1_pre_topc(D,A) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( v1_funct_1(k3_tmap_1(A,B,C,D,E)) & v1_funct_2(k3_tmap_1(A,B,C,D,E),u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(k3_tmap_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) ) )).
fof(dt_k3_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_topalg_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_topalg_1(A,B,C),k1_topalg_1(A,B,C)))) ) )).
fof(dt_k3_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ( v1_funct_1(k3_topalg_2(A,B,C)) & v1_funct_2(k3_topalg_2(A,B,C),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(k3_topalg_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) ) )).
fof(dt_k3_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_topalg_3(A,B,C,D)) & v1_funct_2(k3_topalg_3(A,B,C,D),u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))) & m1_subset_1(k3_topalg_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))))) ) ) )).
fof(dt_k3_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))))) ) => ( v1_funct_1(k3_topalg_4(A,B,C,D)) & v1_funct_2(k3_topalg_4(A,B,C,D),u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(k3_topalg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) ) )).
fof(dt_k3_topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k3_topalg_5(A,B,C,D,E)) & v1_funct_2(k3_topalg_5(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(k3_topalg_5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) )).
fof(dt_k3_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v6_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) ) => m1_subset_1(k3_topalg_6(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_topdim_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => v1_int_1(k3_topdim_1(A,B)) ) )).
fof(dt_k3_topgen_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(k3_topgen_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k3_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_topgen_2(B,A) ) => ( v1_tops_2(k3_topgen_2(A,B),A) & v1_cantor_1(k3_topgen_2(A,B),A) & m1_subset_1(k3_topgen_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_k3_topgen_3,axiom,( ~ v1_finset_1(k3_topgen_3) & v1_card_1(k3_topgen_3) )).
fof(dt_k3_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_subset_1(k3_topgen_4(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k3_topgen_5,axiom,( ~ v2_struct_0(k3_topgen_5) & v1_pre_topc(k3_topgen_5) & v2_pre_topc(k3_topgen_5) & l1_pre_topc(k3_topgen_5) )).
fof(dt_k3_topmetr,axiom,( v2_pre_topc(k3_topmetr) & l1_pre_topc(k3_topmetr) )).
fof(dt_k3_topreal1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_finseq_1(B,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k3_topreal1(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k3_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(k1_topreal7(A,B))) ) => m1_subset_1(k3_topreal7(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k3_topreal9(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k3_toprealb,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_tops_2(k3_toprealb(A,B),k2_topalg_2) & m1_subset_1(k3_toprealb(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topalg_2)))) ) ) )).
fof(dt_k3_toprns_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k3_toprns_1(A,B)) & v1_funct_2(k3_toprns_1(A,B),k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(k3_toprns_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_k3_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k4_topmetr(A,B))) & m1_subset_1(D,u1_struct_0(k4_topmetr(A,B))) ) => ( v1_funct_1(k3_treal_1(A,B,C,D)) & v1_funct_2(k3_treal_1(A,B,C,D),u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B))) & m1_subset_1(k3_treal_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B))))) ) ) )).
fof(dt_k3_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => m1_subset_1(k3_trees_1(A),k1_zfmisc_1(A)) ) )).
fof(dt_k3_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) & m1_subset_1(C,k9_xtuple_0(B)) ) => m1_subset_1(k3_trees_2(A,B,C),A) ) )).
fof(dt_k3_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k3_trees_4(A,B)) & v1_funct_1(k3_trees_4(A,B)) & v3_trees_2(k3_trees_4(A,B)) ) ) )).
fof(dt_k3_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & m4_trees_1(B,k9_xtuple_0(A)) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k3_trees_a(A,B,C)) & v1_funct_1(k3_trees_a(A,B,C)) & v3_trees_2(k3_trees_a(A,B,C)) ) ) )).
fof(dt_k3_turing_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k3_turing_1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k3_twoscomp,axiom,( v1_funct_1(k3_twoscomp) & v1_funct_2(k3_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k3_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k3_unialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_finseq_1(k3_unialg_2(A,B),k4_partfun1(k3_finseq_2(B),B)) ) )).
fof(dt_k3_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_funct_1(k3_unialg_3(A)) & v1_funct_2(k3_unialg_3(A),k1_unialg_3(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k3_unialg_3(A),k1_zfmisc_1(k2_zfmisc_1(k1_unialg_3(A),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k3_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ~ v2_struct_0(k3_uniroots(A)) & v15_algstr_0(k3_uniroots(A)) & v2_group_1(k3_uniroots(A)) & v3_group_1(k3_uniroots(A)) & l3_algstr_0(k3_uniroots(A)) ) ) )).
fof(dt_k3_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => m1_subset_1(k3_uproots(A,B),k4_ordinal1) ) )).
fof(dt_k3_urysohn1,axiom,( m1_subset_1(k3_urysohn1,k1_zfmisc_1(k1_numbers)) )).
fof(dt_k3_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_urysohn3(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) ) => m1_subset_1(k3_urysohn3(A,B,C,D,E),k1_zfmisc_1(k6_numbers)) ) )).
fof(dt_k3_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) => m2_funct_2(k3_valuat_1(A,B,C,D),k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) )).
fof(dt_k3_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k3_valued_1(A,B,C,D,E)) & m1_subset_1(k3_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k3_vectmetr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectmetr(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_xreal_0(k3_vectmetr(A,B)) ) )).
fof(dt_k3_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v1_funct_1(k3_vectsp10(A,B,C)) & v1_funct_2(k3_vectsp10(A,B,C),k2_zfmisc_1(k2_vectsp10(A,B,C),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)) & m1_subset_1(k3_vectsp10(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_vectsp10(A,B,C),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)))) ) ) )).
fof(dt_k3_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k3_vectsp_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k3_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k3_vectsp_2(A)) & v13_algstr_0(k3_vectsp_2(A)) & v2_rlvect_1(k3_vectsp_2(A)) & v3_rlvect_1(k3_vectsp_2(A)) & v4_rlvect_1(k3_vectsp_2(A)) & v2_vectsp_2(k3_vectsp_2(A),A) & l1_vectsp_2(k3_vectsp_2(A),A) ) ) )).
fof(dt_k3_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_vectsp_4(D,A,B) ) => m1_subset_1(k3_vectsp_4(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k3_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_finseq_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => m2_finseq_1(k3_vectsp_6(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k3_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_vfunct_1(A,B,C,D)) & m1_subset_1(k3_vfunct_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k3_vfunct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_vfunct_2(A,B,C,D)) & m1_subset_1(k3_vfunct_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k3_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( v1_funct_1(k3_vsdiff_1(A,B,C,D,E,F)) & m1_subset_1(k3_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) )).
fof(dt_k3_waybel10,axiom,( ! [A] : ( l1_orders_2(A) => ( ~ v2_struct_0(k3_waybel10(A)) & v1_orders_2(k3_waybel10(A)) & l1_orders_2(k3_waybel10(A)) ) ) )).
fof(dt_k3_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(k3_waybel11(A,B,C)) & v6_waybel_0(k3_waybel11(A,B,C),A) & l1_waybel_0(k3_waybel11(A,B,C),A) ) ) )).
fof(dt_k3_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k3_waybel17(A,B,C)) & v6_waybel_0(k3_waybel17(A,B,C),A) & l1_waybel_0(k3_waybel17(A,B,C),A) ) ) )).
fof(dt_k3_waybel18,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ( v1_pre_topc(k3_waybel18(A,B)) & v2_pre_topc(k3_waybel18(A,B)) & l1_pre_topc(k3_waybel18(A,B)) ) ) )).
fof(dt_k3_waybel20,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => ( v1_funct_1(k3_waybel20(A,B)) & v1_funct_2(k3_waybel20(A,B),u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(k3_waybel20(A,B),A) & m1_subset_1(k3_waybel20(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k3_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v1_funct_1(k3_waybel23(A,B)) & v1_funct_2(k3_waybel23(A,B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(A)) & m1_subset_1(k3_waybel23(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(A)))) ) ) )).
fof(dt_k3_waybel24,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & ~ v2_struct_0(B) & l1_waybel_9(B) ) => ( v1_orders_2(k3_waybel24(A,B)) & l1_orders_2(k3_waybel24(A,B)) ) ) )).
fof(dt_k3_waybel26,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k3_waybel26(A,B,C,D)) & v1_funct_2(k3_waybel26(A,B,C,D),u1_struct_0(k1_waybel26(A,B)),u1_struct_0(k1_waybel26(A,C))) & m1_subset_1(k3_waybel26(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel26(A,B)),u1_struct_0(k1_waybel26(A,C))))) ) ) )).
fof(dt_k3_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k2_waybel27(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k3_waybel27(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k3_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m4_yellow_6(k3_waybel28(A),A) ) )).
fof(dt_k3_waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v1_funct_1(k3_waybel29(A,B)) & v1_funct_2(k3_waybel29(A,B),u1_struct_0(k1_yellow_1(u1_pre_topc(k2_borsuk_1(A,B)))),u1_struct_0(k3_waybel24(A,k1_waybel29(k1_yellow_1(u1_pre_topc(B)))))) & m1_subset_1(k3_waybel29(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(u1_pre_topc(k2_borsuk_1(A,B)))),u1_struct_0(k3_waybel24(A,k1_waybel29(k1_yellow_1(u1_pre_topc(B)))))))) ) ) )).
fof(dt_k3_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_waybel34(A,B,C)) & v1_funct_2(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B))) & m1_subset_1(k3_waybel34(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B))))) ) ) )).
fof(dt_k3_waybel_0,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_waybel_1(A,B,C)) & v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k1_yellow_2(A,B,C)),u1_struct_0(B)) & m1_subset_1(k3_waybel_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_2(A,B,C)),u1_struct_0(B)))) ) ) )).
fof(dt_k3_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & l1_waybel_0(C,A) ) => ( v6_waybel_0(k3_waybel_2(A,B,C),A) & l1_waybel_0(k3_waybel_2(A,B,C),A) ) ) )).
fof(dt_k3_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & m1_subset_1(C,A) ) => l1_orders_2(k3_waybel_3(A,B,C)) ) )).
fof(dt_k3_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,C,k7_funcop_1(A,B)) & m2_pboole(E,k4_card_3(k1_funct_6(D)),k7_funcop_1(k4_card_3(k1_funct_6(D)),A),k7_funcop_1(k4_card_3(k1_funct_6(D)),B)) & m1_subset_1(F,k4_card_3(k1_funct_6(D))) ) => ( v1_funct_1(k3_waybel_5(A,B,C,D,E,F)) & v1_funct_2(k3_waybel_5(A,B,C,D,E,F),A,B) & m1_subset_1(k3_waybel_5(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k3_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(k3_waybel_6(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => ( v6_waybel_0(k3_waybel_9(A),A) & l1_waybel_0(k3_waybel_9(A),A) ) ) )).
fof(dt_k3_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_eqrel_1(k3_weddwitt(A),u1_struct_0(A)) ) )).
fof(dt_k3_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => v1_xreal_0(k3_weierstr(A)) ) )).
fof(dt_k3_wellord1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ( v1_relat_1(k3_wellord1(A,B)) & v1_funct_1(k3_wellord1(A,B)) ) ) )).
fof(dt_k3_wsierp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_finseq_1(C,A) ) => m2_finseq_1(k3_wsierp_1(A,B,C),A) ) )).
fof(dt_k3_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => v1_xboolean(k3_xboolean(A)) ) )).
fof(dt_k3_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k3_xxreal_0(A,B)) ) )).
fof(dt_k3_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k3_xxreal_3(A,B)) ) )).
fof(dt_k3_yellow11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_yellow11(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => ( ~ v2_struct_0(k3_yellow19(A,B,C)) & v6_waybel_0(k3_yellow19(A,B,C),A) & l1_waybel_0(k3_yellow19(A,B,C),A) ) ) )).
fof(dt_k3_yellow20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & m1_altcat_2(B,A) ) => ( v9_functor0(k3_yellow20(A,B),B,A) & v15_functor0(k3_yellow20(A,B),B,A) & m2_functor0(k3_yellow20(A,B),B,A) ) ) )).
fof(dt_k3_yellow21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v3_orders_2(k3_yellow21(A,B)) & v4_orders_2(k3_yellow21(A,B)) & v5_orders_2(k3_yellow21(A,B)) & v1_lattice3(k3_yellow21(A,B)) & v2_lattice3(k3_yellow21(A,B)) & l1_orders_2(k3_yellow21(A,B)) ) ) )).
fof(dt_k3_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(k3_yellow_0(A),u1_struct_0(A)) ) )).
fof(dt_k3_yellow_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & m1_subset_1(C,A) ) => l1_orders_2(k3_yellow_1(A,B,C)) ) )).
fof(dt_k3_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_yellow_2(A)) & v1_funct_2(k3_yellow_2(A),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(k3_yellow_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) ) )).
fof(dt_k3_yellow_3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & l1_orders_2(k3_yellow_3(A,B)) ) ) )).
fof(dt_k3_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k3_yellow_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k3_yellow_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k3_yellow_5(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k3_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l1_waybel_0(B,A) ) => m1_subset_1(k3_yellow_6(A,B),u1_struct_0(A)) ) )).
fof(dt_k3_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k3_yellow_9(A,B)) & v6_waybel_0(k3_yellow_9(A,B),A) & l1_waybel_0(k3_yellow_9(A,B),A) ) ) )).
fof(dt_k3_yoneda_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_nattra_1(k3_yoneda_1(A,B),A,k1_yoneda_1(A),k2_yoneda_1(A,k4_graph_1(A,B)),k2_yoneda_1(A,k3_graph_1(A,B))) ) )).
fof(dt_k3_zf_fund1,axiom,( ! [A] : ( m1_subset_1(A,k1_zf_lang) => m1_subset_1(k3_zf_fund1(A),k4_ordinal1) ) )).
fof(dt_k3_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) ) => m2_finseq_1(k3_zf_lang(A,B),k4_ordinal1) ) )).
fof(dt_k3_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( v3_ordinal1(k3_zf_refle(A,B,C)) & m1_subset_1(k3_zf_refle(A,B,C),A) ) ) )).
fof(dt_k3_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul01(k3_zmodul01(A)) & m1_zmodul01(k3_zmodul01(A),A) ) ) )).
fof(dt_k3_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_int_1(B) ) => ( v1_funct_1(k3_zmodul02(A,B)) & v1_funct_2(k3_zmodul02(A,B),k2_zfmisc_1(k1_zmodul02(A,B),k1_zmodul02(A,B)),k1_zmodul02(A,B)) & m1_subset_1(k3_zmodul02(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zmodul02(A,B),k1_zmodul02(A,B)),k1_zmodul02(A,B)))) ) ) )).
fof(dt_k3_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => m2_subset_1(k3_zmodul04(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) ) )).
fof(dt_k3_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_zmodul01(k3_zmodul05(A,B,C)) & m1_zmodul01(k3_zmodul05(A,B,C),A) ) ) )).
fof(dt_k40_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k38_abcmiz_1(A))) & v9_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k12_abcmiz_1(A)) ) => m3_abcmiz_1(k40_abcmiz_1(A,B,C),A) ) )).
fof(dt_k40_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v19_aofa_a00(C,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),C)) ) => m1_msafree4(k40_aofa_a00(A,B,C,D,E),u1_struct_0(A),u3_msualg_1(A,B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,B),k36_aofa_a00(A))) ) )).
fof(dt_k40_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m2_aofa_i00(E,A,B,C,D) ) => m3_aofa_i00(k40_aofa_i00(A,B,C,D,E),A,B,C,D) ) )).
fof(dt_k40_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_finseq_2(16,k4_finseq_2(48,k5_margrel1))) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_finseq_2(32,k5_margrel1),k4_finseq_2(48,k5_margrel1)),k4_finseq_2(32,k5_margrel1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(32,k5_margrel1),k4_finseq_2(48,k5_margrel1)),k4_finseq_2(32,k5_margrel1)))) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & v3_funct_2(C,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)))) & m1_subset_1(D,k4_finseq_2(64,k5_margrel1)) ) => m2_finseq_2(k40_descip_1(A,B,C,D),k5_margrel1,k4_finseq_2(64,k5_margrel1)) ) )).
fof(dt_k40_fomodel1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v2_struct_0(B) & l1_fomodel1(B) ) => ( ~ v2_struct_0(k40_fomodel1(A,B)) & v1_fomodel1(k40_fomodel1(A,B)) & l1_fomodel1(k40_fomodel1(A,B)) ) ) )).
fof(dt_k40_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m1_subset_1(k40_fomodel2(A),k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))) ) )).
fof(dt_k40_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) ) => ( v1_relat_1(k40_fomodel4(A,B,C)) & v1_funct_1(k40_fomodel4(A,B,C)) ) ) )).
fof(dt_k40_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(A) => m1_subset_1(k40_modelc_1(A,B,C),k30_modelc_1(A)) ) )).
fof(dt_k40_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k40_modelc_2(A)) & v1_funct_2(k40_modelc_2(A),k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k40_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) ) )).
fof(dt_k41_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => m1_subset_1(k41_abcmiz_1(A,B),k1_zfmisc_1(k38_abcmiz_1(A))) ) )).
fof(dt_k41_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l6_aofa_a00(A) & ~ v2_struct_0(B) & l5_aofa_a00(B) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v4_msualg_1(D,B) & l3_msualg_1(D,B) ) => ( v3_msualg_1(k41_aofa_a00(A,B,C,D),k35_aofa_a00(A,B)) & v4_msualg_1(k41_aofa_a00(A,B,C,D),k35_aofa_a00(A,B)) & l3_msualg_1(k41_aofa_a00(A,B,C,D),k35_aofa_a00(A,B)) ) ) )).
fof(dt_k41_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_subset_1(E,B) ) => m2_aofa_i00(k41_aofa_i00(A,B,C,D,E),A,B,C,D) ) )).
fof(dt_k41_descip_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_finseq_2(64,k5_margrel1)) & m1_subset_1(B,k4_finseq_2(64,k5_margrel1)) ) => m2_finseq_2(k41_descip_1(A,B),k5_margrel1,k4_finseq_2(64,k5_margrel1)) ) )).
fof(dt_k41_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_funct_1(B) ) => ( ~ v6_struct_0(k41_fomodel1(A,B)) & v11_fomodel1(k41_fomodel1(A,B)) & v16_fomodel1(k41_fomodel1(A,B),A) & l1_fomodel1(k41_fomodel1(A,B)) ) ) )).
fof(dt_k41_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) ) => m2_subset_1(k41_fomodel4(A,B,C),k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C))),k2_xboole_0(k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),k5_margrel1))),k15_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)))) ) )).
fof(dt_k41_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k41_gfacirc1(A,B,C)) & ~ v11_struct_0(k41_gfacirc1(A,B,C)) & v1_msualg_1(k41_gfacirc1(A,B,C)) & v1_circcomb(k41_gfacirc1(A,B,C)) & v2_circcomb(k41_gfacirc1(A,B,C)) & v3_circcomb(k41_gfacirc1(A,B,C)) & l1_msualg_1(k41_gfacirc1(A,B,C)) ) )).
fof(dt_k41_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k41_modelc_1(A)) & v1_funct_2(k41_modelc_1(A),k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(k41_modelc_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) ) )).
fof(dt_k41_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k41_modelc_2(A)) & v1_funct_2(k41_modelc_2(A),k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(k41_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) ) )).
fof(dt_k41_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k41_valued_1(A,B,C)) & m1_subset_1(k41_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k41_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k41_valued_2(A,B,C)) & v1_funct_1(k41_valued_2(A,B,C)) ) ) )).
fof(dt_k42_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => ( v9_abcmiz_1(k42_abcmiz_1(A,B),A) & m1_abcmiz_1(k42_abcmiz_1(A,B),A,k12_abcmiz_1(A)) ) ) )).
fof(dt_k42_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => m3_aofa_i00(k42_aofa_i00(A,B,C,D,E),A,B,C,D) ) )).
fof(dt_k42_descip_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_finseq_2(64,k5_margrel1)) & m1_subset_1(B,k4_finseq_2(64,k5_margrel1)) ) => m2_finseq_2(k42_descip_1(A,B),k5_margrel1,k4_finseq_2(64,k5_margrel1)) ) )).
fof(dt_k42_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(k42_fomodel1(A,B,C),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k42_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k42_gfacirc1(A,B,C),k41_gfacirc1(A,B,C)) & v4_msafree2(k42_gfacirc1(A,B,C),k41_gfacirc1(A,B,C)) & v4_circcomb(k42_gfacirc1(A,B,C),k41_gfacirc1(A,B,C)) & v6_circcomb(k42_gfacirc1(A,B,C),k41_gfacirc1(A,B,C)) & l3_msualg_1(k42_gfacirc1(A,B,C),k41_gfacirc1(A,B,C)) ) )).
fof(dt_k42_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_subset_1(k42_modelc_1(A,B,C,D,E),k5_margrel1) ) )).
fof(dt_k42_modelc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))) ) => l1_modelc_2(k42_modelc_2(A,B)) ) )).
fof(dt_k42_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k42_valued_2(A,B,C,D)) & m1_subset_1(k42_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k43_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) & v8_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => m3_abcmiz_1(k43_abcmiz_1(A,B,C),A) ) )).
fof(dt_k43_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & v1_int_1(E) ) => m3_aofa_i00(k43_aofa_i00(A,B,C,D,E),A,B,C,D) ) )).
fof(dt_k43_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_fomodel1(A)) ) => m2_subset_1(k43_fomodel1(A,B),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k43_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(C) & m1_subset_1(D,k40_fomodel2(A)) ) => m1_subset_1(k43_fomodel4(A,B,C,D),k1_zfmisc_1(k2_xboole_0(C,k30_fomodel2(A)))) ) )).
fof(dt_k43_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k43_gfacirc1(A,B,C)) & ~ v11_struct_0(k43_gfacirc1(A,B,C)) & v1_msualg_1(k43_gfacirc1(A,B,C)) & v1_circcomb(k43_gfacirc1(A,B,C)) & v2_circcomb(k43_gfacirc1(A,B,C)) & v3_circcomb(k43_gfacirc1(A,B,C)) & l1_msualg_1(k43_gfacirc1(A,B,C)) ) )).
fof(dt_k43_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k43_modelc_1(A,B,C,D),k30_modelc_1(A)) ) )).
fof(dt_k43_modelc_2,axiom,( ~ v1_xboole_0(k43_modelc_2) )).
fof(dt_k43_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k43_valued_2(A,B,C,D)) & m1_subset_1(k43_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k44_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k44_abcmiz_1(A,B,C)) & v1_funct_2(k44_abcmiz_1(A,B,C),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k9_setfam_1(k1_funct_1(B,C))) & m1_subset_1(k44_abcmiz_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k9_setfam_1(k1_funct_1(B,C))))) ) ) )).
fof(dt_k44_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m2_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m1_subset_1(k44_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) )).
fof(dt_k44_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_funct_1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k40_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(B)))) ) => ( v1_funct_1(k44_fomodel4(A,B,C,D)) & v1_funct_2(k44_fomodel4(A,B,C,D),k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))) & m1_subset_1(k44_fomodel4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))))) ) ) )).
fof(dt_k44_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k44_gfacirc1(A,B,C),k43_gfacirc1(A,B,C)) & v4_msafree2(k44_gfacirc1(A,B,C),k43_gfacirc1(A,B,C)) & v4_circcomb(k44_gfacirc1(A,B,C),k43_gfacirc1(A,B,C)) & v6_circcomb(k44_gfacirc1(A,B,C),k43_gfacirc1(A,B,C)) & l3_msualg_1(k44_gfacirc1(A,B,C),k43_gfacirc1(A,B,C)) ) )).
fof(dt_k44_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k44_modelc_1(A,B)) & v1_funct_2(k44_modelc_1(A,B),k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(k44_modelc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) ) )).
fof(dt_k44_modelc_2,axiom,( ! [A] : ! [B] : m1_subset_1(k44_modelc_2(A,B),k5_margrel1) )).
fof(dt_k45_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => m1_subset_1(k45_abcmiz_1(A,B),k1_zfmisc_1(k2_abcmiz_1)) ) )).
fof(dt_k45_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_funct_1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k40_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(B)))) ) => m1_subset_1(k45_fomodel4(A,B,C,D),k1_zfmisc_1(k2_xboole_0(A,k30_fomodel2(B)))) ) )).
fof(dt_k45_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k45_gfacirc1(A,B,C),u1_struct_0(k43_gfacirc1(A,B,C)),k3_msafree2(k43_gfacirc1(A,B,C))) )).
fof(dt_k45_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(A))) ) => m1_subset_1(k45_modelc_1(A,B,C),k1_zfmisc_1(B)) ) )).
fof(dt_k45_modelc_2,axiom,( ! [A] : m1_subset_1(k45_modelc_2(A),k30_modelc_1(k25_modelc_2(k43_modelc_2))) )).
fof(dt_k45_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k45_valued_1(A,B)) & v1_funct_1(k45_valued_1(A,B)) ) ) )).
fof(dt_k46_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => ( v1_finset_1(k46_abcmiz_1(A,B)) & m1_subset_1(k46_abcmiz_1(A,B),k1_zfmisc_1(k2_abcmiz_1)) ) ) )).
fof(dt_k46_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k46_gfacirc1(A,B,C)) & ~ v11_struct_0(k46_gfacirc1(A,B,C)) & v1_msualg_1(k46_gfacirc1(A,B,C)) & v1_circcomb(k46_gfacirc1(A,B,C)) & v2_circcomb(k46_gfacirc1(A,B,C)) & v3_circcomb(k46_gfacirc1(A,B,C)) & l1_msualg_1(k46_gfacirc1(A,B,C)) ) )).
fof(dt_k46_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(A))) ) => ( v1_funct_1(k46_modelc_1(A,B)) & v1_funct_2(k46_modelc_1(A,B),A,k1_zfmisc_1(B)) & m1_subset_1(k46_modelc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B)))) ) ) )).
fof(dt_k46_modelc_2,axiom,( ~ v1_xboole_0(k46_modelc_2) & m1_subset_1(k46_modelc_2,k1_zfmisc_1(k30_modelc_1(k25_modelc_2(k43_modelc_2)))) )).
fof(dt_k46_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k46_valued_1(A,B,C,D,E)) & m1_subset_1(k46_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k47_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => m1_subset_1(k47_abcmiz_1(A,B),k1_zfmisc_1(k2_abcmiz_1)) ) )).
fof(dt_k47_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_subset_1(E,B) & m3_aofa_i00(F,A,B,C,D) ) => ( v15_aofa_000(k47_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k47_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k47_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D,k30_fomodel2(B)) ) => m1_subset_1(k47_fomodel4(A,B,C,D),k1_zfmisc_1(k2_xboole_0(A,k30_fomodel2(B)))) ) )).
fof(dt_k47_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k47_gfacirc1(A,B,C),k46_gfacirc1(A,B,C)) & v4_msafree2(k47_gfacirc1(A,B,C),k46_gfacirc1(A,B,C)) & v4_circcomb(k47_gfacirc1(A,B,C),k46_gfacirc1(A,B,C)) & v6_circcomb(k47_gfacirc1(A,B,C),k46_gfacirc1(A,B,C)) & l3_msualg_1(k47_gfacirc1(A,B,C),k46_gfacirc1(A,B,C)) ) )).
fof(dt_k47_modelc_2,axiom,( v1_funct_1(k47_modelc_2) & v1_funct_2(k47_modelc_2,k15_modelc_2,u1_modelc_2(k42_modelc_2(k43_modelc_2,k46_modelc_2))) & m1_subset_1(k47_modelc_2,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(k42_modelc_2(k43_modelc_2,k46_modelc_2))))) )).
fof(dt_k47_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k47_valued_1(A,B,C,D,E)) & m1_subset_1(k47_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k47_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k47_valued_2(A,B,C)) & v1_funct_1(k47_valued_2(A,B,C)) ) ) )).
fof(dt_k48_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => ( v1_finset_1(k48_abcmiz_1(A,B)) & m1_subset_1(k48_abcmiz_1(A,B),k1_zfmisc_1(k2_abcmiz_1)) ) ) )).
fof(dt_k48_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_subset_1(E,B) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k48_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k48_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k48_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => ( v1_funct_1(k48_fomodel4(A,B,C,D)) & v1_funct_2(k48_fomodel4(A,B,C,D),k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))) & m1_subset_1(k48_fomodel4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_xboole_0(A,k30_fomodel2(B)))))) ) ) )).
fof(dt_k48_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k48_gfacirc1(A,B,C),u1_struct_0(k46_gfacirc1(A,B,C)),k3_msafree2(k46_gfacirc1(A,B,C))) )).
fof(dt_k48_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => l2_modelc_1(k48_modelc_1(A,B,C)) ) )).
fof(dt_k48_modelc_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k9_modelc_2)) => m1_subset_1(k48_modelc_2(A),k1_zfmisc_1(k9_modelc_2)) ) )).
fof(dt_k48_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k48_valued_2(A,B,C,D)) & m1_subset_1(k48_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k49_abcmiz_1,axiom,( ~ v2_struct_0(k49_abcmiz_1) & v1_orders_2(k49_abcmiz_1) & v3_orders_2(k49_abcmiz_1) & v4_orders_2(k49_abcmiz_1) & v5_orders_2(k49_abcmiz_1) & l1_orders_2(k49_abcmiz_1) )).
fof(dt_k49_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => m1_subset_1(k49_fomodel4(A,B,C,D),k1_zfmisc_1(k2_xboole_0(A,k30_fomodel2(B)))) ) )).
fof(dt_k49_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k49_gfacirc1(A,B,C)) & ~ v11_struct_0(k49_gfacirc1(A,B,C)) & v1_msualg_1(k49_gfacirc1(A,B,C)) & v1_circcomb(k49_gfacirc1(A,B,C)) & v2_circcomb(k49_gfacirc1(A,B,C)) & v3_circcomb(k49_gfacirc1(A,B,C)) & l1_msualg_1(k49_gfacirc1(A,B,C)) ) )).
fof(dt_k49_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) & m1_modelc_1(D,A,B) ) => m1_subset_1(k49_modelc_1(A,B,C,D,E),A) ) )).
fof(dt_k49_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k49_valued_2(A,B,C,D)) & m1_subset_1(k49_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k4_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_abcmiz_0(A))) ) => m1_subset_1(k4_abcmiz_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_abcmiz_1,axiom,( m1_finseq_2(k4_abcmiz_1,k2_abcmiz_1) )).
fof(dt_k4_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) & m1_subset_1(C,k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) ) => m1_subset_1(k4_absred_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ( v1_funct_1(k4_aescip_1(A)) & v1_funct_2(k4_aescip_1(A),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(k4_aescip_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) ) )).
fof(dt_k4_afinsq_1,axiom,( ! [A] : ( v1_relat_1(k4_afinsq_1(A)) & v5_relat_1(k4_afinsq_1(A),A) & v5_ordinal1(k4_afinsq_1(A)) & v1_funct_1(k4_afinsq_1(A)) & v1_finset_1(k4_afinsq_1(A)) ) )).
fof(dt_k4_afinsq_2,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => ( v1_relat_1(k4_afinsq_2(A)) & v5_relat_1(k4_afinsq_2(A),k4_ordinal1) & v1_funct_1(k4_afinsq_2(A)) & v5_ordinal1(k4_afinsq_2(A)) & v1_finset_1(k4_afinsq_2(A)) ) ) )).
fof(dt_k4_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v3_relat_2(k4_afproj(A)) & v8_relat_2(k4_afproj(A)) & v1_partfun1(k4_afproj(A),k2_afproj(A)) & m1_subset_1(k4_afproj(A),k1_zfmisc_1(k2_zfmisc_1(k2_afproj(A),k2_afproj(A)))) ) ) )).
fof(dt_k4_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_afvect0(A,B)) & v1_funct_2(k4_afvect0(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k4_afvect0(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k4_alg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_alg_1(B,A) ) => ( ~ v2_struct_0(k4_alg_1(A,B)) & v1_unialg_1(k4_alg_1(A,B)) & v2_unialg_1(k4_alg_1(A,B)) & v3_unialg_1(k4_alg_1(A,B)) & v4_unialg_1(k4_alg_1(A,B)) & l1_unialg_1(k4_alg_1(A,B)) ) ) )).
fof(dt_k4_algstr_0,axiom,( ! [A] : ! [B] : ( ( l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_algstr_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => l3_algstr_0(k4_algstr_4(A,B)) ) )).
fof(dt_k4_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ( v1_funct_1(k4_altcat_1(A,B,C,D,E,F)) & v1_funct_2(k4_altcat_1(A,B,C,D,E,F),k2_zfmisc_1(k1_binop_1(B,E,F),k1_binop_1(B,D,E)),k1_binop_1(B,D,F)) & m1_subset_1(k4_altcat_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_binop_1(B,E,F),k1_binop_1(B,D,E)),k1_binop_1(B,D,F)))) ) ) )).
fof(dt_k4_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( ~ v2_struct_0(k4_altcat_2(A)) & v6_altcat_1(k4_altcat_2(A)) & l2_altcat_1(k4_altcat_2(A)) ) ) )).
fof(dt_k4_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k4_altcat_4(A)) & v2_altcat_1(k4_altcat_4(A)) & v6_altcat_1(k4_altcat_4(A)) & m1_altcat_2(k4_altcat_4(A),A) ) ) )).
fof(dt_k4_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => m1_altcat_6(k4_altcat_6(A,B,C),k7_altcat_1(B),k2_altcat_6(A,B,C),A,C) ) )).
fof(dt_k4_ami_2,axiom,( v1_relat_1(k4_ami_2) & v4_relat_1(k4_ami_2,k5_card_1(2)) & v1_funct_1(k4_ami_2) & v1_partfun1(k4_ami_2,k5_card_1(2)) )).
fof(dt_k4_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => m1_subset_1(k4_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k4_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,k4_ordinal1) & v7_ordinal1(D) ) => m1_subset_1(k4_ami_wstd(A,B,C,D),k4_ordinal1) ) )).
fof(dt_k4_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & l1_extpro_1(k4_amistd_1(A),A) ) ) )).
fof(dt_k4_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) ) => m1_subset_1(k4_amistd_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k4_analort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_analort(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_k4_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_collsp(k4_anproj_1(A),k3_anproj_1(A)) ) )).
fof(dt_k4_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k9_funct_2(A,B)) & m1_subset_1(E,k9_funct_2(B,C)) ) => m2_funct_2(k4_aofa_000(A,B,C,D,E),A,C,k9_funct_2(A,C)) ) )).
fof(dt_k4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( v1_relat_1(k4_aofa_a00(A,B,C,D,E,F)) & v1_funct_1(k4_aofa_a00(A,B,C,D,E,F)) & v1_finseq_1(k4_aofa_a00(A,B,C,D,E,F)) ) )).
fof(dt_k4_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & m1_msafree(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),C,D)) ) => m1_subset_1(k4_aofa_a01(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,B),D)) ) )).
fof(dt_k4_aofa_i00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k4_aofa_i00(A,B)) & v5_relat_1(k4_aofa_i00(A,B),k4_numbers) & v1_funct_1(k4_aofa_i00(A,B)) ) ) )).
fof(dt_k4_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msafree(C,A,B) ) => m1_aofa_l00(k4_aofa_l00(A,B,C),A,B) ) )).
fof(dt_k4_armstrng,axiom,( ! [A] : m1_subset_1(k4_armstrng(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) )).
fof(dt_k4_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => m1_subset_1(k4_arytm_0(A),k1_numbers) ) )).
fof(dt_k4_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k1_arytm_2) => m1_subset_1(k4_arytm_2(A),k2_arytm_2) ) )).
fof(dt_k4_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => m1_subset_1(k4_arytm_3(A,B),k4_ordinal1) ) )).
fof(dt_k4_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_funct_1(k4_asympt_1(A)) & v1_funct_2(k4_asympt_1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k4_asympt_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k4_autalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ~ v1_xboole_0(k4_autalg_1(A,B,C)) ) )).
fof(dt_k4_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_funct_2(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_k4_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k4_bagorder(A),k15_pre_poly(A)) & v1_relat_2(k4_bagorder(A)) & v4_relat_2(k4_bagorder(A)) & v8_relat_2(k4_bagorder(A)) & m1_subset_1(k4_bagorder(A),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_k4_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ~ v1_xboole_0(k4_bcialg_1(A)) & m1_subset_1(k4_bcialg_1(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k4_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k4_bhsp_1(A,B,C)) ) )).
fof(dt_k4_bhsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k4_bhsp_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_bhsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(k4_bhsp_4(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k4_bhsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_finseq_1(D,B) ) => m2_finseq_1(k4_bhsp_5(A,B,C,D),A) ) )).
fof(dt_k4_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k4_bilinear(A,B,C,D)) & v1_funct_2(k4_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(k4_bilinear(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k4_binari_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => m1_subset_1(k4_binari_2(A,B,C),k5_margrel1) ) )).
fof(dt_k4_binarith,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => ( v3_card_1(k4_binarith(A,B,C),A) & m2_finseq_1(k4_binarith(A,B,C),k5_margrel1) ) ) )).
fof(dt_k4_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_funct_1(k4_binom(A)) & v1_funct_2(k4_binom(A),k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(k4_binom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) ) )).
fof(dt_k4_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => m1_subset_1(k4_binop_1(A,B,C,D),A) ) )).
fof(dt_k4_binop_2,axiom,( v1_funct_1(k4_binop_2) & v1_funct_2(k4_binop_2,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m1_subset_1(k4_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers))) )).
fof(dt_k4_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k4_borsuk_1(A,B,C,D),u1_struct_0(k2_borsuk_1(A,B))) ) )).
fof(dt_k4_borsuk_6,axiom,( v1_funct_1(k4_borsuk_6) & v1_funct_2(k4_borsuk_6,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & m1_subset_1(k4_borsuk_6,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) )).
fof(dt_k4_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => ( v1_funct_1(k4_borsuk_7(A,B,C)) & v1_funct_2(k4_borsuk_7(A,B,C),A,u1_struct_0(k3_topmetr)) & m1_subset_1(k4_borsuk_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k4_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & ~ v3_xxreal_0(C) & m1_subset_1(D,u1_struct_0(k2_brouwer(A,B,C))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_brouwer(A,B,C)),u1_struct_0(k2_brouwer(A,B,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A,B,C)),u1_struct_0(k2_brouwer(A,B,C))))) ) => m1_subset_1(k4_brouwer(A,B,C,D,E),u1_struct_0(k7_toprealb(A,B,C))) ) )).
fof(dt_k4_bspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_bspace)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k4_bspace(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k4_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k4_bvfunc25(A,B,C)) & v1_funct_2(k4_bvfunc25(A,B,C),A,k5_margrel1) & m1_subset_1(k4_bvfunc25(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k4_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k4_bvfunc_1(A,B)) & v1_funct_1(k4_bvfunc_1(A,B)) ) ) )).
fof(dt_k4_bvfunc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => m1_subset_1(k4_bvfunc_2(A,B),k1_zfmisc_1(k1_bvfunc_2(A))) ) )).
fof(dt_k4_c0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_c0sp1(A,B),B) ) )).
fof(dt_k4_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v1_funct_1(k4_c0sp2(A)) & v1_funct_2(k4_c0sp2(A),k2_c0sp2(A),k1_numbers) & m1_subset_1(k4_c0sp2(A),k1_zfmisc_1(k2_zfmisc_1(k2_c0sp2(A),k1_numbers))) ) ) )).
fof(dt_k4_calcul_2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k3_cqc_lang(A)) ) => m2_subset_1(k4_calcul_2(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k4_card_1,axiom,( ! [A] : ( v1_finset_1(A) => m1_subset_1(k4_card_1(A),k4_ordinal1) ) )).
fof(dt_k4_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => m1_card_fil(k4_card_fil(A),A) ) )).
fof(dt_k4_cardfin2,axiom,( ! [A] : ! [B] : m1_subset_1(k4_cardfin2(A,B),k1_zfmisc_1(k1_funct_2(A,B))) )).
fof(dt_k4_cat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k4_cat_1(A,B),A,B,B) ) )).
fof(dt_k4_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => m1_cat_2(k4_cat_2(A,B),A,B) ) )).
fof(dt_k4_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( v1_funct_1(k4_cat_3(A,B,C)) & v1_funct_2(k4_cat_3(A,B,C),B,u4_struct_0(k2_oppcat_1(A))) & m1_subset_1(k4_cat_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(k2_oppcat_1(A))))) ) ) )).
fof(dt_k4_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_cat_4(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k4_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => ( v1_cat_1(k4_cat_5(A,B,C)) & m3_cat_2(k4_cat_5(A,B,C),B) ) ) )).
fof(dt_k4_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v1_cat_6(k4_cat_6(A)) & l1_cat_6(k4_cat_6(A)) ) ) )).
fof(dt_k4_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) & m1_subset_1(C,k6_cat_6(A)) & m1_subset_1(D,k6_cat_6(A)) & m1_cat_7(E,A,B,C) & m1_cat_7(F,A,C,D) ) => m1_cat_7(k4_cat_7(A,B,C,D,E,F),A,B,D) ) )).
fof(dt_k4_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k4_catalan2(A,B)) & v1_funct_2(k4_catalan2(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k4_catalan2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k4_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ( v1_cayldick(k4_cayldick(A)) & l1_cayldick(k4_cayldick(A)) ) ) )).
fof(dt_k4_cayley,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k4_cayley(A)) & v1_funct_2(k4_cayley(A),u1_struct_0(A),u1_struct_0(k2_cayley(u1_struct_0(A)))) & m1_subset_1(k4_cayley(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_cayley(u1_struct_0(A)))))) ) ) )).
fof(dt_k4_cc0sp1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k4_cc0sp1(A,B)) & v1_funct_2(k4_cc0sp1(A,B),A,k2_numbers) & m1_subset_1(k4_cc0sp1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k4_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v1_funct_1(k4_cc0sp2(A)) & v1_funct_2(k4_cc0sp2(A),k2_cc0sp2(A),k1_numbers) & m1_subset_1(k4_cc0sp2(A),k1_zfmisc_1(k2_zfmisc_1(k2_cc0sp2(A),k1_numbers))) ) ) )).
fof(dt_k4_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_funct_2(k4_cfuncdom(A),A,k2_numbers,k9_funct_2(A,k2_numbers)) ) )).
fof(dt_k4_cgames_1,axiom,( m1_subset_1(k4_cgames_1,k2_cgames_1(1)) )).
fof(dt_k4_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k4_chain_1(A,B,C)) & v1_finset_1(k4_chain_1(A,B,C)) & m1_subset_1(k4_chain_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(k1_euclid(A)))) ) ) )).
fof(dt_k4_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_chord(B,A) & v7_ordinal1(C) ) => m1_subset_1(k4_chord(A,B,C),k1_zfmisc_1(k6_glib_000(A))) ) )).
fof(dt_k4_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( v1_msualg_1(k4_circcmb3(A,B,C,D)) & m1_circcmb3(k4_circcmb3(A,B,C,D),B) ) ) )).
fof(dt_k4_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ v11_struct_0(k4_circcomb(A,B,C)) & v1_msualg_1(k4_circcomb(A,B,C)) & l1_msualg_1(k4_circcomb(A,B,C)) ) ) )).
fof(dt_k4_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) & l3_msualg_1(D,A) ) => ( v1_relat_1(k4_circtrm1(A,B,C,D)) & v4_relat_1(k4_circtrm1(A,B,C,D),u1_struct_0(k1_circtrm1(A,B,C))) & v1_funct_1(k4_circtrm1(A,B,C,D)) & v1_partfun1(k4_circtrm1(A,B,C,D),u1_struct_0(k1_circtrm1(A,B,C))) ) ) )).
fof(dt_k4_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => v7_ordinal1(k4_circuit1(A,B,C)) ) )).
fof(dt_k4_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_msafree2(D,A,B) ) => m1_subset_1(k4_circuit2(A,B,C,D),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) ) )).
fof(dt_k4_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,u1_struct_0(k3_clopban1(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k4_clopban1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k4_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & m1_subset_1(B,k8_clopban1(A,A)) & v1_xcmplx_0(C) ) => m2_subset_1(k4_clopban2(A,B,C),u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) ) )).
fof(dt_k4_clopban4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & v2_cfuncdom(B) & v5_clopban2(B) & l1_clopban2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k4_clopban4(A,B,C,D)) & v1_funct_2(k4_clopban4(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & m1_subset_1(k4_clopban4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k4_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => ( v1_relat_1(k4_closure2(A,B,C)) & v4_relat_1(k4_closure2(A,B,C),A) & v1_funct_1(k4_closure2(A,B,C)) & v1_partfun1(k4_closure2(A,B,C),A) ) ) )).
fof(dt_k4_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => m1_subset_1(k4_closure3(A,B,C,D),k1_zfmisc_1(k1_closure2(A,B))) ) )).
fof(dt_k4_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ( v1_clvect_1(k4_clvect_1(A)) & m1_clvect_1(k4_clvect_1(A),A) ) ) )).
fof(dt_k4_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k4_clvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_cohsp_1(A) & v1_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(k4_cohsp_1(A,B),A) ) )).
fof(dt_k4_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & l1_combgras(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A))) ) => m1_subset_1(k4_combgras(A,B,C,D),k1_zfmisc_1(u1_incsp_1(B))) ) )).
fof(dt_k4_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,C) & m2_cat_1(E,B,C) & m1_subset_1(F,k2_commacat(A,B,C,D,E)) ) => m2_subset_1(k4_commacat(A,B,C,D,E,F),k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)),k1_commacat(A,B,C,D,E)) ) )).
fof(dt_k4_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => m1_subset_1(k4_complex1(A),k1_numbers) ) )).
fof(dt_k4_complex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_xreal_0(k4_complex2(A,B,C)) ) )).
fof(dt_k4_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ( v1_relat_1(k4_compos_1(A)) & v4_relat_1(k4_compos_1(A),k4_ordinal1) & v5_relat_1(k4_compos_1(A),u1_compos_1(A)) & v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A)) ) ) )).
fof(dt_k4_comput_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( v1_relat_1(k4_comput_1(A,B)) & v4_relat_1(k4_comput_1(A,B),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k4_comput_1(A,B)) & v4_valued_0(k4_comput_1(A,B)) & v2_margrel1(k4_comput_1(A,B)) ) ) )).
fof(dt_k4_comseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k4_comseq_3(A)) & v1_funct_1(k4_comseq_3(A)) ) ) )).
fof(dt_k4_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k4_conlat_1(A)) & v1_funct_2(k4_conlat_1(A),u1_struct_0(k2_yellow_1(u4_struct_0(A))),u1_struct_0(k2_yellow_1(u1_struct_0(A)))) & m1_subset_1(k4_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(u4_struct_0(A))),u1_struct_0(k2_yellow_1(u1_struct_0(A)))))) ) ) )).
fof(dt_k4_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k4_conlat_2(A)) & v1_funct_2(k4_conlat_2(A),u1_struct_0(A),u1_struct_0(k11_conlat_1(A))) & m1_subset_1(k4_conlat_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k11_conlat_1(A))))) ) ) )).
fof(dt_k4_connsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_connsp_3(A,B,C),k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)))) ) )).
fof(dt_k4_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_clvect_1(A) & m1_convex4(B,A) ) => m1_subset_1(k4_convex4(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_convfun1,axiom,( ~ v2_struct_0(k4_convfun1) & l1_rlvect_1(k4_convfun1) )).
fof(dt_k4_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_qc_lang1(B) & m1_subset_1(C,k8_qc_lang1(B,A)) & v5_relat_1(D,k3_qc_lang1(B)) & v3_card_1(D,A) & m1_finseq_1(D,k2_qc_lang1(B)) ) => m2_subset_1(k4_cqc_lang(A,B,C,D),k9_qc_lang1(B),k3_cqc_lang(B)) ) )).
fof(dt_k4_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A)))) & m1_subset_1(C,k3_qc_lang1(A)) ) => m2_funct_2(k4_cqc_sim1(A,B,C),k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) ) )).
fof(dt_k4_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k4_cqc_the1(A),k1_zfmisc_1(k3_cqc_lang(A))) ) )).
fof(dt_k4_csspace,axiom,( m1_subset_1(k4_csspace,k1_csspace) )).
fof(dt_k4_csspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_clvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k4_csspace3(A,B,C)) ) )).
fof(dt_k4_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => m1_subset_1(k4_csspace4(A,B),k1_zfmisc_1(u1_struct_0(k3_clopban1(A,B)))) ) )).
fof(dt_k4_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => v1_xreal_0(k4_dblseq_1(A)) ) )).
fof(dt_k4_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_funct_1(k4_dblseq_2(A)) & v1_funct_2(k4_dblseq_2(A),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(k4_dblseq_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) ) )).
fof(dt_k4_decomp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_decomp_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(k3_xcmplx_0(2,B),A)) ) => m2_finseq_2(k4_descip_1(A,B,C),A,k4_finseq_2(B,A)) ) )).
fof(dt_k4_dickson,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => m1_subset_1(k4_dickson(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k4_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k4_diff_1(A,B)) & m1_subset_1(k4_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k4_dilworth,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_dilworth(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_dist_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) ) => m2_finseq_1(k4_dist_1(A,B),k1_numbers) ) )).
fof(dt_k4_dist_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => v1_xreal_0(k4_dist_2(A,B,C,D)) ) )).
fof(dt_k4_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,A) & m1_subset_1(E,B) & m1_subset_1(F,C) ) => m1_subset_1(k4_domain_1(A,B,C,D,E,F),k3_zfmisc_1(A,B,C)) ) )).
fof(dt_k4_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => m1_subset_1(k4_dtconstr(A),k1_zfmisc_1(k5_trees_3(u1_struct_0(A)))) ) )).
fof(dt_k4_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k2_vectsp_1) & v9_vectsp_1(A,k2_vectsp_1) & v10_vectsp_1(A,k2_vectsp_1) & v11_vectsp_1(A,k2_vectsp_1) & l1_vectsp_1(A,k2_vectsp_1) ) => ( ~ v2_struct_0(k4_dualsp01(A)) & v13_algstr_0(k4_dualsp01(A)) & v2_rlvect_1(k4_dualsp01(A)) & v3_rlvect_1(k4_dualsp01(A)) & v4_rlvect_1(k4_dualsp01(A)) & v5_rlvect_1(k4_dualsp01(A)) & v6_rlvect_1(k4_dualsp01(A)) & v7_rlvect_1(k4_dualsp01(A)) & v8_rlvect_1(k4_dualsp01(A)) & l1_rlvect_1(k4_dualsp01(A)) ) ) )).
fof(dt_k4_dynkin,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k4_dynkin(A,B)) & v1_funct_2(k4_dynkin(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k4_dynkin(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k4_e_siec,axiom,( ! [A] : ( v1_e_siec(k4_e_siec(A)) & v2_e_siec(k4_e_siec(A)) & v3_e_siec(k4_e_siec(A)) & l1_e_siec(k4_e_siec(A)) ) )).
fof(dt_k4_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => m1_subset_1(k4_ec_pf_1(A,B,C),u1_struct_0(k9_int_3(A))) ) )).
fof(dt_k4_ec_pf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) & m1_subset_1(D,k6_ec_pf_1(A,B,C)) ) => m1_subset_1(k4_ec_pf_2(A,B,C,D),u1_struct_0(k9_int_3(A))) ) )).
fof(dt_k4_endalg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v1_xboole_0(k4_endalg(A,B)) & m1_subset_1(k4_endalg(A,B),k1_zfmisc_1(k4_autalg_1(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)))) ) ) )).
fof(dt_k4_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) ) => m1_subset_1(k4_ens_1(A,B),A) ) )).
fof(dt_k4_entropy1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => m2_finseq_1(k4_entropy1(A),k1_numbers) ) )).
fof(dt_k4_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_relat_2(k4_eqrel_1(A,B,C)) & v8_relat_2(k4_eqrel_1(A,B,C)) & v1_partfun1(k4_eqrel_1(A,B,C),A) & m1_subset_1(k4_eqrel_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k4_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ( v1_relat_1(k4_equation(A)) & v4_relat_1(k4_equation(A),u1_struct_0(A)) & v1_funct_1(k4_equation(A)) & v1_partfun1(k4_equation(A),u1_struct_0(A)) ) ) )).
fof(dt_k4_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k4_euclid(A)) & v1_funct_1(k4_euclid(A)) & v1_finseq_1(k4_euclid(A)) & v3_valued_0(k4_euclid(A)) ) ) )).
fof(dt_k4_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => v1_xreal_0(k4_euclid_3(A,B,C)) ) )).
fof(dt_k4_euclid_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => m1_subset_1(k4_euclid_5(A,B,C),u1_struct_0(k15_euclid(3))) ) )).
fof(dt_k4_euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_finseq_1(B,k1_euclid(A)) ) => m2_finseq_1(k4_euclid_7(A,B),k1_euclid(A)) ) )).
fof(dt_k4_euclid_8,axiom,( m2_finseq_2(k4_euclid_8,k1_numbers,k1_euclid(3)) )).
fof(dt_k4_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k4_euclid_9(A,B,C),k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) ) )).
fof(dt_k4_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) & m1_subset_1(D,k1_euclid(A)) ) => m1_subset_1(k4_euclidlp(A,B,C,D),k1_zfmisc_1(k1_euclid(A))) ) )).
fof(dt_k4_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) & v1_relat_1(D) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) ) => ( v1_relat_1(k4_extpro_1(A,B,C,D)) & v4_relat_1(k4_extpro_1(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k4_extpro_1(A,B,C,D)) & v5_funct_1(k4_extpro_1(A,B,C,D),k2_memstr_0(A,B)) & v1_partfun1(k4_extpro_1(A,B,C,D),u1_struct_0(B)) ) ) )).
fof(dt_k4_extreal1,axiom,( ! [A] : ( m1_finseq_1(A,k6_numbers) => m1_subset_1(k4_extreal1(A),k6_numbers) ) )).
fof(dt_k4_facirc_1,axiom,( v1_funct_1(k4_facirc_1) & v1_funct_2(k4_facirc_1,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(k4_facirc_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) )).
fof(dt_k4_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v3_msualg_1(k4_facirc_2(A,B,C),k3_facirc_2(A,B,C)) & v4_msafree2(k4_facirc_2(A,B,C),k3_facirc_2(A,B,C)) & v4_circcomb(k4_facirc_2(A,B,C),k3_facirc_2(A,B,C)) & v6_circcomb(k4_facirc_2(A,B,C),k3_facirc_2(A,B,C)) & l3_msualg_1(k4_facirc_2(A,B,C),k3_facirc_2(A,B,C)) ) ) )).
fof(dt_k4_ff_siec,axiom,( ! [A] : ( v1_petri(k4_ff_siec(A)) & v1_net_1(k4_ff_siec(A)) & l1_petri(k4_ff_siec(A)) ) )).
fof(dt_k4_fib_num2,axiom,( m1_subset_1(k4_fib_num2,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k4_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_filter_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k4_filter_1(A,B)) & v3_lattices(k4_filter_1(A,B)) & v10_lattices(k4_filter_1(A,B)) & l3_lattices(k4_filter_1(A,B)) ) ) )).
fof(dt_k4_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) => m1_subset_1(k4_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_fin_topo,axiom,( v1_orders_2(k4_fin_topo) & l1_orders_2(k4_fin_topo) )).
fof(dt_k4_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k4_finance1(A,B,C)) ) )).
fof(dt_k4_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => ( v1_funct_1(k4_finance2(A,B)) & v1_funct_2(k4_finance2(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k4_finance2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) )).
fof(dt_k4_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(k4_finseq_1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k4_finseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => m1_finseq_2(k4_finseq_2(A,B),B) ) )).
fof(dt_k4_finseq_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(k4_finseq_4(A,B),k4_ordinal1) ) )).
fof(dt_k4_finseq_5,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => m2_finseq_1(k4_finseq_5(A,B),A) ) )).
fof(dt_k4_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k4_finseq_8(A,B,C),A) ) )).
fof(dt_k4_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m2_finseq_1(k4_finseqop(A,B,C,D),B) ) )).
fof(dt_k4_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_fintopo2(A,B,C),k5_margrel1) ) )).
fof(dt_k4_fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k4_fintopo3(A,B)) & v1_funct_2(k4_fintopo3(A,B),k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k4_fintopo3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k4_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k4_fintopo4(A)) & l1_orders_2(k4_fintopo4(A)) ) ) )).
fof(dt_k4_fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k4_fintopo5(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B))))) ) )).
fof(dt_k4_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_catalan2(A)) => m1_subset_1(k4_flang_1(A,B),k1_zfmisc_1(k3_catalan2(A))) ) )).
fof(dt_k4_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_finseq_1(C,A) ) => ( v1_relat_1(k4_fomodel0(A,B,C)) & v1_funct_1(k4_fomodel0(A,B,C)) ) ) )).
fof(dt_k4_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v9_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => m2_fomodel2(k4_fomodel2(A,B,C,D),A,B,D) ) )).
fof(dt_k4_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => m2_fomodel2(k4_fomodel3(A,B,C),A,k35_fomodel1(A),B) ) )).
fof(dt_k4_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => m2_funct_2(k4_fomodel4(A,B),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k4_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(C) ) => m1_subset_1(k4_freealg(A,B,C),u1_struct_0(k3_freealg(A,B))) ) )).
fof(dt_k4_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k4_fscirc_1(A,B,C)) & ~ v11_struct_0(k4_fscirc_1(A,B,C)) & v1_msualg_1(k4_fscirc_1(A,B,C)) & v1_circcomb(k4_fscirc_1(A,B,C)) & v2_circcomb(k4_fscirc_1(A,B,C)) & v3_circcomb(k4_fscirc_1(A,B,C)) & l1_msualg_1(k4_fscirc_1(A,B,C)) ) )).
fof(dt_k4_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => m2_subset_1(k4_fscirc_2(A,B,C,D),u1_struct_0(k1_fscirc_2(B,C,D)),k3_msafree2(k1_fscirc_2(B,C,D))) ) )).
fof(dt_k4_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & m1_subset_1(D,u1_struct_0(C)) & m1_finseq_1(E,A) ) => m2_finseq_1(k4_fsm_1(A,B,C,D,E),B) ) )).
fof(dt_k4_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => ( v3_fsm_3(k4_fsm_3(A,B,C),A,k9_flang_1(A)) & l2_fsm_3(k4_fsm_3(A,B,C),A,k9_flang_1(A)) ) ) )).
fof(dt_k4_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k4_ftacell1(A,B,C,D,E),k3_msafree2(k1_ftacell1(A,B,C,D,E))) )).
fof(dt_k4_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => m2_funct_2(k4_funcsdom(A,B,C,D,E),B,A,k9_funct_2(B,A)) ) )).
fof(dt_k4_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => ( v1_funct_1(k4_funct_2(A,B,C,D)) & v1_funct_2(k4_funct_2(A,B,C,D),A,B) & m1_subset_1(k4_funct_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k4_funct_3,axiom,( ! [A] : ! [B] : ( v1_relat_1(k4_funct_3(A,B)) & v1_funct_1(k4_funct_3(A,B)) ) )).
fof(dt_k4_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k4_funct_5(A)) & v1_funct_1(k4_funct_5(A)) ) ) )).
fof(dt_k4_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k4_funct_7(A,B)) & v1_funct_1(k4_funct_7(A,B)) & v1_finseq_1(k4_funct_7(A,B)) ) ) )).
fof(dt_k4_functor2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => m2_functor2(k4_functor2(A,B,C),A,B,C,C) ) )).
fof(dt_k4_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v16_functor0(D,A,B) & m2_functor0(D,A,B) & v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => ( v9_functor0(k4_functor3(A,B,C,D,E),A,C) & v16_functor0(k4_functor3(A,B,C,D,E),A,C) & m2_functor0(k4_functor3(A,B,C,D,E),A,C) ) ) )).
fof(dt_k4_fuznum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( v5_relat_1(k4_fuznum_1(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k4_fuznum_1(A,B,C)) & v1_funct_2(k4_fuznum_1(A,B,C),k1_numbers,k1_numbers) & m1_subset_1(k4_fuznum_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k4_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v5_relat_1(k4_fuzzy_1(A),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k4_fuzzy_1(A)) & v1_funct_2(k4_fuzzy_1(A),A,k1_numbers) & m1_subset_1(k4_fuzzy_1(A),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k4_fuzzy_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( v5_relat_1(k4_fuzzy_2(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k4_fuzzy_2(A,B)) & v1_funct_2(k4_fuzzy_2(A,B),k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(k4_fuzzy_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) ) )).
fof(dt_k4_fuzzy_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( v5_relat_1(k4_fuzzy_4(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k4_fuzzy_4(A,B)) & v1_funct_2(k4_fuzzy_4(A,B),k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(k4_fuzzy_4(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) ) )).
fof(dt_k4_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_fvaluat1(B,A) ) => m1_subset_1(k4_fvaluat1(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,k4_finseq_2(A,u1_struct_0(B))) ) => m2_finseq_2(k4_fvsum_1(A,B,C,D),u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) ) )).
fof(dt_k4_gaussint,axiom,( v1_funct_1(k4_gaussint) & v1_funct_2(k4_gaussint,k2_zfmisc_1(k4_numbers,k1_gaussint),k1_gaussint) & m1_subset_1(k4_gaussint,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k1_gaussint),k1_gaussint))) )).
fof(dt_k4_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) & m2_gcd_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_gcd_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_finseq_1(B,k3_card_3(A)) & m1_finseq_1(C,k3_card_3(A)) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) ) => m2_finseq_1(k4_genealg1(A,B,C,D,E,F,G),k3_card_3(A)) ) )).
fof(dt_k4_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => v1_xreal_0(k4_geomtrap(A,B,C,D,E)) ) )).
fof(dt_k4_gfacirc1,axiom,( v1_funct_1(k4_gfacirc1) & v1_funct_2(k4_gfacirc1,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k4_gfacirc1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k4_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => m2_subset_1(k4_gfacirc2(A,B,C,D),u1_struct_0(k1_gfacirc2(B,C,D)),k3_msafree2(k1_gfacirc2(B,C,D))) ) )).
fof(dt_k4_glib_000,axiom,( m1_subset_1(k4_glib_000,k4_ordinal1) )).
fof(dt_k4_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => m1_subset_1(k4_glib_001(A,B),k6_glib_000(A)) ) )).
fof(dt_k4_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => v1_card_1(k4_glib_002(A)) ) )).
fof(dt_k4_glib_003,axiom,( m1_subset_1(k4_glib_003,k4_ordinal1) )).
fof(dt_k4_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => v1_xreal_0(k4_glib_004(A)) ) )).
fof(dt_k4_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m2_glib_005(C,A,B) & v7_ordinal1(D) ) => m1_glib_005(k4_glib_005(A,B,C,D),A,B) ) )).
fof(dt_k4_goboard5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => m1_subset_1(k4_goboard5(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k4_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => m1_subset_1(k4_gobrd13(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k4_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k4_goedcpuc(A),k1_zfmisc_1(k3_cqc_lang(k1_goedcpuc(A)))) ) )).
fof(dt_k4_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(A)))) & v7_ordinal1(C) ) => m2_subset_1(k4_goedelcp(A,B,C),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_k4_gr_cy_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k4_gr_cy_1(A)) & v15_algstr_0(k4_gr_cy_1(A)) & l3_algstr_0(k4_gr_cy_1(A)) ) ) )).
fof(dt_k4_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k4_graph_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k4_graph_2(A,B,C),A) ) )).
fof(dt_k4_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_graph_3(A,B,C),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k4_graph_3a,axiom,( v1_funct_1(k4_graph_3a) & v1_funct_2(k4_graph_3a,k2_graph_3a,k1_graph_3a) & m1_subset_1(k4_graph_3a,k1_zfmisc_1(k2_zfmisc_1(k2_graph_3a,k1_graph_3a))) )).
fof(dt_k4_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_graph_5(A,B,C),k1_zfmisc_1(k3_finseq_2(u4_struct_0(A)))) ) )).
fof(dt_k4_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_funct_2(A,A)) & m1_subset_1(C,A) ) => m1_subset_1(k4_graphsp(A,B,C),A) ) )).
fof(dt_k4_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k4_grcat_1(A,B)) & m1_subset_1(k4_grcat_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(u4_struct_0(A),u4_struct_0(A),k1_grcat_1(A,B),k1_grcat_1(A,B)),k1_grcat_1(A,B)))) ) ) )).
fof(dt_k4_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k4_groeb_1(A),k15_pre_poly(A)) & v1_relat_2(k4_groeb_1(A)) & v4_relat_2(k4_groeb_1(A)) & v8_relat_2(k4_groeb_1(A)) & m1_subset_1(k4_groeb_1(A),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_k4_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v7_ordinal1(E) ) => ( v1_finset_1(k4_groeb_3(A,B,C,D,E)) & m1_subset_1(k4_groeb_3(A,B,C,D,E),k1_zfmisc_1(k15_pre_poly(A))) ) ) )).
fof(dt_k4_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v1_funct_1(k4_group_1(A)) & v1_funct_2(k4_group_1(A),k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(k4_group_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) ) )).
fof(dt_k4_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & v2_group_1(C) & l3_algstr_0(C) & m1_subset_1(D,u1_struct_0(C)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),k1_funct_2(A,A)) & v1_group_10(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(A,A)))) ) => ( v1_funct_1(k4_group_10(A,B,C,D,E)) & v1_funct_2(k4_group_10(A,B,C,D,E),k3_group_10(A,B),k3_group_10(A,B)) & m1_subset_1(k4_group_10(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k3_group_10(A,B),k3_group_10(A,B)))) ) ) )).
fof(dt_k4_group_11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => m1_subset_1(k4_group_11(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => m1_subset_1(k4_group_19(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k4_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_finseq_1(B,k4_numbers) & m1_finseq_1(C,u1_struct_0(A)) ) => m2_finseq_1(k4_group_4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_group_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_group_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) ) => ( v1_funct_1(k4_group_6(A,B)) & v1_funct_2(k4_group_6(A,B),k2_zfmisc_1(k15_group_2(A,B),k15_group_2(A,B)),k15_group_2(A,B)) & m1_subset_1(k4_group_6(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k15_group_2(A,B),k15_group_2(A,B)),k15_group_2(A,B)))) ) ) )).
fof(dt_k4_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_group_7(A,B),u1_struct_0(k2_group_7(k1_tarski(1),k9_finseq_1(A)))) ) )).
fof(dt_k4_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ( v2_group_9(k4_group_9(A,B),A) & m1_group_9(k4_group_9(A,B),A,B) ) ) )).
fof(dt_k4_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k4_hahnban1(A,B,C)) & v1_funct_2(k4_hahnban1(A,B,C),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k4_hahnban1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k4_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k4_hermitan(A,B,C)) ) )).
fof(dt_k4_heyting1,axiom,( ! [A] : ( v1_funct_1(k4_heyting1(A)) & v1_funct_2(k4_heyting1(A),k7_normform(A),u1_struct_0(k11_normform(A))) & m1_subset_1(k4_heyting1(A),k1_zfmisc_1(k2_zfmisc_1(k7_normform(A),u1_struct_0(k11_normform(A))))) ) )).
fof(dt_k4_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( v1_funct_1(k4_heyting2(A,B)) & v1_funct_2(k4_heyting2(A,B),u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(k4_heyting2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))))) ) ) )).
fof(dt_k4_heyting3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k4_heyting3(A,B),k5_finsub_1(k4_partfun1(k4_ordinal1,k1_tarski(B)))) ) )).
fof(dt_k4_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k13_polynom3(A)))) ) => ( ~ v1_xboole_0(k4_hilbasis(A,B)) & m1_subset_1(k4_hilbasis(A,B),k1_zfmisc_1(B)) ) ) )).
fof(dt_k4_hilbert1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m1_subset_1(k4_hilbert1(A,B),k1_hilbert1) ) )).
fof(dt_k4_hilbert3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_hilbert3(B,A) ) => m2_pboole(k4_hilbert3(A,B),k1_hilbert1,k2_hilbert3(A),k2_hilbert3(A)) ) )).
fof(dt_k4_huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) ) => ( ~ v1_xboole_0(k4_huffman1(A,B)) & v1_finset_1(k4_huffman1(A,B)) & m1_subset_1(k4_huffman1(A,B),k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) ) )).
fof(dt_k4_hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( v1_funct_1(k4_hurwitz(A,B,C)) & v1_funct_2(k4_hurwitz(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k4_hurwitz(A,B,C),A) & m1_subset_1(k4_hurwitz(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => v7_ordinal1(k4_idea_1(A,B,C)) ) )).
fof(dt_k4_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_ideal_1(D,A,B) & m1_ideal_1(E,A,C) ) => m1_ideal_1(k4_ideal_1(A,B,C,D,E),A,k4_subset_1(u1_struct_0(A),B,C)) ) )).
fof(dt_k4_incsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v15_incsp_1(A) & l2_incsp_1(A) & m1_subset_1(B,u2_incsp_1(A)) & m1_subset_1(C,u2_incsp_1(A)) ) => m1_subset_1(k4_incsp_1(A,B,C),u4_incsp_1(A)) ) )).
fof(dt_k4_index_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_index_1(A) ) => ( v1_relat_1(k4_index_1(A)) & v2_relat_1(k4_index_1(A)) & v1_funct_1(k4_index_1(A)) ) ) )).
fof(dt_k4_int_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v1_int_1(k4_int_1(A,B)) ) )).
fof(dt_k4_int_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & m1_subset_1(B,u1_struct_0(k1_int_3)) ) => m1_subset_1(k4_int_3(A,B),u1_struct_0(k1_int_3)) ) )).
fof(dt_k4_integr10,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => v1_xreal_0(k4_integr10(A,B)) ) )).
fof(dt_k4_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & m1_integra1(D,B) & m3_integr15(E,A,B,C,D) ) => m2_finseq_2(k4_integr15(A,B,C,D,E),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k4_integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr16(D,A,B,C) & m1_subset_1(E,k4_ordinal1) ) => m1_integr16(k4_integr16(A,B,C,D,E),A,B,k2_integra2(A,C,E)) ) )).
fof(dt_k4_integr18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => m1_subset_1(k4_integr18(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => m2_finseq_1(k4_integra1(A,B,C),k1_numbers) ) )).
fof(dt_k4_integra2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( v1_funct_1(k4_integra2(A,B,C)) & v1_funct_2(k4_integra2(A,B,C),k4_ordinal1,k1_numbers) & m1_subset_1(k4_integra2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k4_integra5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k4_integra5(A,B,C)) ) )).
fof(dt_k4_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => m1_interva1(k4_interva1(A,B,C),A) ) )).
fof(dt_k4_intpro_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_intpro_1) & m1_subset_1(B,k1_intpro_1) ) => m1_subset_1(k4_intpro_1(A,B),k1_intpro_1) ) )).
fof(dt_k4_irrat_1,axiom,( v1_funct_1(k4_irrat_1) & v1_funct_2(k4_irrat_1,k4_ordinal1,k1_numbers) & m1_subset_1(k4_irrat_1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k4_isocat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_nattra_1(F,A,B,D,E) & m2_cat_1(G,B,C) ) => m2_nattra_1(k4_isocat_1(A,B,C,D,E,F,G),A,C,k9_cat_1(A,B,C,D,G),k9_cat_1(A,B,C,E,G)) ) )).
fof(dt_k4_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m1_subset_1(E,u4_struct_0(A)) ) => m2_nattra_1(k4_isocat_2(A,B,C,D,E),B,C,k10_cat_2(A,B,C,D,k3_graph_1(A,E)),k10_cat_2(A,B,C,D,k4_graph_1(A,E))) ) )).
fof(dt_k4_jgraph_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( v7_graph_1(k4_jgraph_1(A,B),k1_jgraph_1(A)) & m2_graph_1(k4_jgraph_1(A,B),k1_jgraph_1(A)) ) ) )).
fof(dt_k4_jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k4_jgraph_4(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k4_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_subset_1(k4_jgraph_6(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k4_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( v1_funct_1(k4_jordan(A)) & v1_funct_2(k4_jordan(A),u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(k4_jordan(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) ) ) )).
fof(dt_k4_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k4_jordan10(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )).
fof(dt_k4_jordan19,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(k4_jordan19(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k4_jordan1k,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & v2_compts_1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v1_xreal_0(k4_jordan1k(A,B,C)) ) )).
fof(dt_k4_jordan3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => m2_finseq_1(k4_jordan3(A,B,C),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k4_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k4_jordan5d(A)) ) )).
fof(dt_k4_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k4_jordan6(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k4_jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(B,A) ) => v1_xreal_0(k4_jordan_a(A,B)) ) )).
fof(dt_k4_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) & m1_subset_1(E,k1_zfmisc_1(A)) ) => ( ~ v1_xboole_0(k4_kolmog01(A,B,C,D,E)) & v1_prob_1(k4_kolmog01(A,B,C,D,E),B) & v4_prob_1(k4_kolmog01(A,B,C,D,E),B) & m1_subset_1(k4_kolmog01(A,B,C,D,E),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) )).
fof(dt_k4_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_subset_1(k4_kurato_0(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k4_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_kurato_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k4_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) ) => m1_subset_1(k4_lang1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )).
fof(dt_k4_laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m1_subset_1(C,k9_matrix_1(k1_nat_1(B,1))) ) => m1_matrix_1(k4_laplace(A,B,C),k9_matrix_1(B)) ) )).
fof(dt_k4_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => m1_subset_1(k4_lattad_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k4_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_lattice3(A,B),u1_struct_0(k3_lattice3(A))) ) )).
fof(dt_k4_lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_lattice4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v1_funct_1(k4_lattice5(A,B,C)) & v1_funct_2(k4_lattice5(A,B,C),u1_struct_0(B),u1_struct_0(k1_lattice5(A))) & m1_subset_1(k4_lattice5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k1_lattice5(A))))) ) ) )).
fof(dt_k4_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_lattice6(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_lattice7,axiom,( ! [A] : ( l1_orders_2(A) => ~ v1_xboole_0(k4_lattice7(A)) ) )).
fof(dt_k4_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => m1_subset_1(k4_lattice8(A,B,C,D,E),k4_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E),u1_struct_0(B),u1_struct_0(B))) ) )).
fof(dt_k4_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k15_pre_poly(A))) ) => ( v1_relat_1(k4_lexbfs(A,B,C)) & v4_relat_1(k4_lexbfs(A,B,C),A) & v1_funct_1(k4_lexbfs(A,B,C)) & v1_partfun1(k4_lexbfs(A,B,C),A) & v4_valued_0(k4_lexbfs(A,B,C)) & v2_pre_poly(k4_lexbfs(A,B,C)) ) ) )).
fof(dt_k4_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v3_orders_2(k4_lfuzzy_0(A)) & v4_orders_2(k4_lfuzzy_0(A)) & v5_orders_2(k4_lfuzzy_0(A)) & v1_lattice3(k4_lfuzzy_0(A)) & v2_lattice3(k4_lfuzzy_0(A)) & v3_lattice3(k4_lfuzzy_0(A)) & v9_waybel_1(k4_lfuzzy_0(A)) & l1_orders_2(k4_lfuzzy_0(A)) ) ) )).
fof(dt_k4_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & v7_ordinal1(C) ) => ( v5_relat_1(k4_lfuzzy_1(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k4_lfuzzy_1(A,B,C)) & v1_funct_2(k4_lfuzzy_1(A,B,C),k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(k4_lfuzzy_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) ) )).
fof(dt_k4_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k4_limfunc1(A)) ) )).
fof(dt_k4_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => m2_funct_2(k4_lopban_1(A,B),A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) ) )).
fof(dt_k4_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k10_lopban_1(A,A)) & v1_xreal_0(C) ) => m2_subset_1(k4_lopban_2(A,B,C),u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) ) )).
fof(dt_k4_lopban_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k4_lopban_3(A,B,C)) & v1_funct_2(k4_lopban_3(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k4_lopban_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k4_lopban_4(A,B)) & v1_funct_2(k4_lopban_4(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k4_lopban_4(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k4_lopban_7(A,B,C)) & v1_funct_2(k4_lopban_7(A,B,C),k3_lopban_7(A,B,C),k1_numbers) & m1_subset_1(k4_lopban_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_lopban_7(A,B,C),k1_numbers))) ) ) )).
fof(dt_k4_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k4_lopclset(A)) & v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m1_subset_1(k4_lopclset(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))) ) ) )).
fof(dt_k4_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k4_lpspace1(A)) & v1_funct_2(k4_lpspace1(A),k2_zfmisc_1(k1_numbers,k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)) & m1_subset_1(k4_lpspace1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k3_rfunct_3(A,k1_numbers)),k3_rfunct_3(A,k1_numbers)))) ) ) )).
fof(dt_k4_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v2_struct_0(k4_lpspace2(A,B,C,D)) & l1_rlvect_1(k4_lpspace2(A,B,C,D)) ) ) )).
fof(dt_k4_ltlaxio1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m1_subset_1(k4_ltlaxio1(A,B),k1_hilbert1) ) )).
fof(dt_k4_ltlaxio2,axiom,( ! [A] : ( m1_finseq_1(A,k1_hilbert1) => m2_finseq_1(k4_ltlaxio2(A),k1_hilbert1) ) )).
fof(dt_k4_ltlaxio3,axiom,( v1_funct_1(k4_ltlaxio3) & v1_funct_2(k4_ltlaxio3,k1_hilbert1,k9_setfam_1(k1_hilbert1)) & m1_subset_1(k4_ltlaxio3,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k9_setfam_1(k1_hilbert1)))) )).
fof(dt_k4_ltlaxio4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => ( ~ v1_xboole_0(k4_ltlaxio4(A)) & v1_finset_1(k4_ltlaxio4(A)) & m1_subset_1(k4_ltlaxio4(A),k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) ) )).
fof(dt_k4_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_margrel1(A)) ) => m1_subset_1(k4_margrel1(A,B),k4_ordinal1) ) )).
fof(dt_k4_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_mathmorp(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_matrix10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k4_matrix10(A,B,C)) & v2_matrix_0(k4_matrix10(A,B,C),k1_numbers,A,A) & m2_finseq_1(k4_matrix10(A,B,C),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k4_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) & v1_matrix_0(E) & v2_matrix_0(E,C,A,B) & m1_finseq_1(E,k3_finseq_2(C)) ) => ( v1_matrix_0(k4_matrix11(A,B,C,D,E)) & v2_matrix_0(k4_matrix11(A,B,C,D,E),C,A,B) & m2_finseq_1(k4_matrix11(A,B,C,D,E),k3_finseq_2(C)) ) ) )).
fof(dt_k4_matrix12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( v1_matrix_0(k4_matrix12(A,B,C,D,E,F)) & v2_matrix_0(k4_matrix12(A,B,C,D,E,F),u1_struct_0(C),A,B) & m2_finseq_1(k4_matrix12(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k4_matrix13,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k4_matrix13(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k4_matrix14,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) & v7_ordinal1(C) ) => ( v1_matrix_0(k4_matrix14(A,B,C)) & v2_matrix_0(k4_matrix14(A,B,C),u1_struct_0(A),B,B) & m2_finseq_1(k4_matrix14(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k4_matrix_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) ) => ( v1_matrix_0(k4_matrix_0(A,B)) & m2_finseq_1(k4_matrix_0(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k4_matrix_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( v1_matrix_0(k4_matrix_1(A,B,C)) & v2_matrix_0(k4_matrix_1(A,B,C),u1_struct_0(A),B,B) & m2_finseq_1(k4_matrix_1(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k4_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( v1_matrix_0(k4_matrix_3(A,B,C)) & m2_finseq_1(k4_matrix_3(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k4_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k4_matrix_5(A)) & m2_finseq_1(k4_matrix_5(A),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k4_matrix_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) ) => m2_finseq_1(k4_matrix_7(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) ) => ( v1_matrixj1(k4_matrixj1(A,B),A) & m2_finseq_1(k4_matrixj1(A,B),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k4_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k4_matrixr1(A)) & m2_finseq_1(k4_matrixr1(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k4_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_matrix_0(k4_matrixr2(A)) & v2_matrix_0(k4_matrixr2(A),k1_numbers,A,A) & m2_finseq_1(k4_matrixr2(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k4_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k4_matrlin(A,B,C,D,E)) & v1_funct_2(k4_matrlin(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(k4_matrlin(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) ) )).
fof(dt_k4_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & m1_matrlin(D,A,B) & m1_finseq_1(E,u1_struct_0(C)) & v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(E)) & m1_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ( v1_funct_1(k4_matrlin2(A,B,C,D,E,F)) & v1_funct_2(k4_matrlin2(A,B,C,D,E,F),u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(k4_matrlin2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) ) )).
fof(dt_k4_matroid0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v7_ordinal1(k4_matroid0(A,B)) ) )).
fof(dt_k4_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => m2_finseq_1(k4_matrprob(A),k1_numbers) ) )).
fof(dt_k4_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => m1_subset_1(k4_mcart_1(A,B,C,D,E),A) ) )).
fof(dt_k4_measure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ~ v1_xboole_0(k4_measure1(A,B,C)) & m1_subset_1(k4_measure1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k4_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k4_measure3(A,B,C)) & v1_funct_2(k4_measure3(A,B,C),k2_measure3(A,B,C),k6_numbers) & v10_valued_0(k4_measure3(A,B,C)) & v6_supinf_2(k4_measure3(A,B,C)) & v4_measure1(k4_measure3(A,B,C),A,k2_measure3(A,B,C)) & m1_subset_1(k4_measure3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_measure3(A,B,C),k6_numbers))) ) ) )).
fof(dt_k4_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => m1_subset_1(k4_measure6(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k4_measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & m2_measure7(B,A) & m1_subset_1(C,k4_ordinal1) ) => m1_measure7(k4_measure7(A,B,C),k8_nat_1(k9_setfam_1(k1_numbers),A,C)) ) )).
fof(dt_k4_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v2_measure1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m4_measure8(E,A,B,C) ) => ( v1_funct_1(k4_measure8(A,B,C,D,E)) & v1_funct_2(k4_measure8(A,B,C,D,E),k4_ordinal1,k6_numbers) & m1_subset_1(k4_measure8(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k4_member_1,axiom,( ! [A] : ( v2_membered(A) => v2_membered(k4_member_1(A)) ) )).
fof(dt_k4_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k4_mesfun7c(A,B)) & v1_funct_2(k4_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(k4_mesfun7c(A,B),A,k6_numbers) & m1_subset_1(k4_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) ) )).
fof(dt_k4_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => ( v1_funct_1(k4_mesfunc1(A,B,C)) & m1_subset_1(k4_mesfunc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k4_mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_rfunct_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_rfunct_3(A,B)))) & v7_ordinal1(D) ) => ( v1_funct_1(k4_mesfunc5(A,B,C,D)) & m1_subset_1(k4_mesfunc5(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k4_mesfunc7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & v7_ordinal1(B) ) => m1_subset_1(k4_mesfunc7(A,B),k6_numbers) ) )).
fof(dt_k4_mesfunc8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k4_mesfunc8(A,B)) & v1_funct_2(k4_mesfunc8(A,B),k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(k4_mesfunc8(A,B),A,k6_numbers) & m1_subset_1(k4_mesfunc8(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) ) )).
fof(dt_k4_metric_1,axiom,( ! [A] : ( v1_funct_1(k4_metric_1(A)) & v1_funct_2(k4_metric_1(A),k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(k4_metric_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) )).
fof(dt_k4_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k4_metric_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_metric_2(A),k2_metric_2(A)))) ) )).
fof(dt_k4_metric_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ( v1_funct_1(k4_metric_3(A,B,C)) & v1_funct_2(k4_metric_3(A,B,C),k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers) & m1_subset_1(k4_metric_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))),k1_numbers))) ) ) )).
fof(dt_k4_mfold_0,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) & l1_pre_topc(B) ) => m1_subset_1(k4_mfold_0(A,B),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k4_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_pre_topc(k4_mfold_2(A)) & l1_pre_topc(k4_mfold_2(A)) ) ) )).
fof(dt_k4_midsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => m1_subset_1(k4_midsp_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k4_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) ) => m1_subset_1(k4_midsp_3(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k4_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k4_mmlquer2(A,B)) & v1_funct_2(k4_mmlquer2(A,B),A,k4_ordinal1) & m1_subset_1(k4_mmlquer2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) )).
fof(dt_k4_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k4_mmlquery(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k4_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & l1_mod_2(B,A) ) => ( v1_funct_1(k4_mod_2(A,B)) & v1_funct_2(k4_mod_2(A,B),u1_struct_0(k2_mod_2(A,B)),u1_struct_0(k3_mod_2(A,B))) & m1_subset_1(k4_mod_2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_mod_2(A,B)),u1_struct_0(k3_mod_2(A,B))))) ) ) )).
fof(dt_k4_mod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)))) ) => ( v1_funct_1(k4_mod_4(A,B,C)) & v1_funct_2(k4_mod_4(A,B,C),k2_zfmisc_1(u1_struct_0(k3_mod_4(A,B)),u1_struct_0(k2_mod_4(A))),u1_struct_0(k3_mod_4(A,B))) & m1_subset_1(k4_mod_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_mod_4(A,B)),u1_struct_0(k2_mod_4(A))),u1_struct_0(k3_mod_4(A,B))))) ) ) )).
fof(dt_k4_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => m3_modcat_1(k4_modcat_1(A,B),A) ) )).
fof(dt_k4_modelc_1,axiom,( ! [A] : v1_xboolean(k4_modelc_1(A)) )).
fof(dt_k4_modelc_2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k4_modelc_2(A,B),k4_ordinal1) ) )).
fof(dt_k4_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k4_modelc_3(A),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_k4_moebius1,axiom,( ! [A] : ( v1_relat_1(k4_moebius1(A)) & v4_relat_1(k4_moebius1(A),k4_ordinal1) & v1_funct_1(k4_moebius1(A)) & v1_partfun1(k4_moebius1(A),k4_ordinal1) ) )).
fof(dt_k4_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => v7_ordinal1(k4_moebius2(A)) ) )).
fof(dt_k4_monoid_0,axiom,( ~ v2_struct_0(k4_monoid_0) & v15_algstr_0(k4_monoid_0) & v1_group_1(k4_monoid_0) & v17_monoid_0(k4_monoid_0) & m5_monoid_0(k4_monoid_0,k2_monoid_0,k3_monoid_0) )).
fof(dt_k4_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,A) ) => m2_finseq_1(k4_monoid_1(A,B,C),A) ) )).
fof(dt_k4_morph_01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k4_morph_01(A,B)) & v1_funct_2(k4_morph_01(A,B),k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k4_morph_01(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k4_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_subset_1(k4_msafree(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))))))) ) )).
fof(dt_k4_msafree2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_msafree2(A,B),u4_struct_0(A)) ) )).
fof(dt_k4_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_msaterm(A,B)) ) => m3_pboole(k4_msafree3(A,B,C),u1_struct_0(A),B) ) )).
fof(dt_k4_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & l3_msualg_1(C,A) ) => m2_pboole(k4_msafree4(A,B,C),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C)) ) )).
fof(dt_k4_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,B))) ) => m1_subset_1(k4_msafree5(A,B,C,D,E),k3_card_3(u3_msualg_1(A,C))) ) )).
fof(dt_k4_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) ) => m1_dtconstr(k4_msaterm(A,B,C,D,E),u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) ) )).
fof(dt_k4_msinst_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) ) => ( ~ v2_struct_0(k4_msinst_1(A,B)) & v6_altcat_1(k4_msinst_1(A,B)) & l2_altcat_1(k4_msinst_1(A,B)) ) ) )).
fof(dt_k4_msscyc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( ~ v2_struct_0(k4_msscyc_2(A)) & l1_graph_1(k4_msscyc_2(A)) ) ) )).
fof(dt_k4_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m3_pboole(C,A,k1_mboolean(A,B)) ) => m3_pboole(k4_mssubfam(A,B,C),A,B) ) )).
fof(dt_k4_msualg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & l3_msualg_1(C,A) ) => m1_subset_1(k4_msualg_1(A,B,C),k10_xtuple_0(u3_msualg_1(A,C))) ) )).
fof(dt_k4_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => m2_pboole(k4_msualg_2(A,B,C),u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),C)),k3_relat_1(u2_msualg_1(A),C)) ) )).
fof(dt_k4_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => m2_pboole(k4_msualg_3(A,B,C,D),A,C,B) ) )).
fof(dt_k4_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v1_relat_1(k4_msualg_4(A,B,C)) & v2_relat_1(k4_msualg_4(A,B,C)) & v4_relat_1(k4_msualg_4(A,B,C),u1_struct_0(A)) & v1_funct_1(k4_msualg_4(A,B,C)) & v1_partfun1(k4_msualg_4(A,B,C),u1_struct_0(A)) ) ) )).
fof(dt_k4_msualg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msualg_4(C,A,B) & m1_msualg_4(C,A,B,B) & v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) => ( v1_msualg_4(k4_msualg_5(A,B,C,D),A,B) & m1_msualg_4(k4_msualg_5(A,B,C,D),A,B,B) ) ) )).
fof(dt_k4_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v7_ordinal1(C) & l3_msualg_1(D,A) & v1_relat_1(E) & v1_funct_1(E) ) => ( v1_relat_1(k4_msualg_6(A,B,C,D,E)) & v1_funct_1(k4_msualg_6(A,B,C,D,E)) ) ) )).
fof(dt_k4_multop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A,B,C,D),E))) & m1_subset_1(G,A) & m1_subset_1(H,B) & m1_subset_1(I,C) & m1_subset_1(J,D) ) => m1_subset_1(k4_multop_1(A,B,C,D,E,F,G,H,I,J),E) ) )).
fof(dt_k4_mycielsk,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_mycielsk(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,k9_funct_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(A,B)))) ) => ( v1_funct_1(k4_nagata_1(A,B,C)) & v1_funct_2(k4_nagata_1(A,B,C),A,B) & m1_subset_1(k4_nagata_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k4_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => m1_subset_1(k4_nat_1(A,B),k4_ordinal1) ) )).
fof(dt_k4_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v7_ordinal1(C) ) => ( v1_relat_1(k4_nat_3(A,B,C)) & v4_relat_1(k4_nat_3(A,B,C),A) & v1_funct_1(k4_nat_3(A,B,C)) & v1_partfun1(k4_nat_3(A,B,C),A) ) ) )).
fof(dt_k4_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k4_nat_5(A)) & v1_funct_2(k4_nat_5(A),k4_ordinal1,k4_ordinal1) & m1_subset_1(k4_nat_5(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) ) )).
fof(dt_k4_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k4_nat_d(A,B),k4_ordinal1) ) )).
fof(dt_k4_nat_lat,axiom,( m1_subset_1(k4_nat_lat,u1_struct_0(k3_nat_lat)) )).
fof(dt_k4_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => m2_nattra_1(k4_nattra_1(A,B,C),A,B,C,C) ) )).
fof(dt_k4_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( v1_funct_1(k4_nbvectsp(A)) & v1_funct_2(k4_nbvectsp(A),k2_zfmisc_1(u1_struct_0(k2_bspace),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)) & m1_subset_1(k4_nbvectsp(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(A,k5_margrel1)))) ) ) )).
fof(dt_k4_ndiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k4_ndiff_1(A,B,C,D)) & m1_subset_1(k4_ndiff_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k16_lopban_1(A,B))))) ) ) )).
fof(dt_k4_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & m1_subset_1(B,k4_finseq_1(A)) & m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) ) => ( v1_funct_1(k4_ndiff_5(A,B,C)) & v1_funct_2(k4_ndiff_5(A,B,C),u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A))) & m1_subset_1(k4_ndiff_5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A))))) ) ) )).
fof(dt_k4_ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k4_ndiff_6(A,B,C)) & m1_subset_1(k4_ndiff_6(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k4_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v13_vectsp_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_lopban_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_mazurulm(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))))) ) => ( v1_funct_1(k4_ndiff_7(A,B,C)) & v1_funct_2(k4_ndiff_7(A,B,C),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),u1_struct_0(k7_prvect_3(A,B))) & v13_vectsp_1(k4_ndiff_7(A,B,C),k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) & v1_lopban_1(k4_ndiff_7(A,B,C),k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) & m1_subset_1(k4_ndiff_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),u1_struct_0(k7_prvect_3(A,B))))) ) ) )).
fof(dt_k4_neckla_2,axiom,( m1_subset_1(k4_neckla_2,k1_zfmisc_1(k3_neckla_2)) )).
fof(dt_k4_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_orders_2(k4_necklace(A)) & l1_orders_2(k4_necklace(A)) ) ) )).
fof(dt_k4_newton,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k4_newton(A,B),k4_ordinal1) ) )).
fof(dt_k4_normsp_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_normsp_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k4_normsp_0(A,B,C)) & m1_subset_1(k4_normsp_0(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k4_normsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_xreal_0(C) ) => ( v1_funct_1(k4_normsp_1(A,B,C)) & v1_funct_2(k4_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k4_normsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A)) & l1_rltopsp1(k4_normsp_2(A)) ) ) )).
fof(dt_k4_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_dualsp01(k4_normsp_3(A,B),A) ) )).
fof(dt_k4_ntalgo_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => m1_subset_1(k4_ntalgo_1(A),k4_numbers) ) )).
fof(dt_k4_numpoly1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v1_int_1(k4_numpoly1(A,B)) ) )).
fof(dt_k4_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k4_openlatt(A)) & v1_funct_2(k4_openlatt(A),k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)) & m1_subset_1(k4_openlatt(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)))) ) ) )).
fof(dt_k4_oppcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(k2_oppcat_1(A))) ) => m1_subset_1(k4_oppcat_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_ordeq_01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k4_ordeq_01(A,B,C)) & v1_nfcont_3(k4_ordeq_01(A,B,C),B) & m1_subset_1(k4_ordeq_01(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) ) )).
fof(dt_k4_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ( v6_altcat_1(k4_orders_3(A)) & l2_altcat_1(k4_orders_3(A)) ) ) )).
fof(dt_k4_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => v3_ordinal1(k4_ordinal2(A)) ) )).
fof(dt_k4_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( v1_relat_1(k4_ordinal3(A,B)) & v5_ordinal1(k4_ordinal3(A,B)) & v1_funct_1(k4_ordinal3(A,B)) & v1_ordinal2(k4_ordinal3(A,B)) ) ) )).
fof(dt_k4_ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( v3_ordinal1(k4_ordinal4(A,B,C)) & m1_subset_1(k4_ordinal4(A,B,C),A) ) ) )).
fof(dt_k4_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_ordinal2(A) ) => v3_ordinal1(k4_ordinal5(A)) ) )).
fof(dt_k4_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,B,k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_ordinal1(A)))) ) => ( v3_ordinal1(k4_ordinal6(A,B,C,D)) & m1_subset_1(k4_ordinal6(A,B,C,D),A) ) ) )).
fof(dt_k4_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_osafree(A,B,C),k1_zfmisc_1(k4_dtconstr(k2_osafree(A,B)))) ) )).
fof(dt_k4_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & ~ v1_xboole_0(B) & m2_pboole(C,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k3_osalg_1(A,B))),k3_relat_1(u2_msualg_1(A),k3_osalg_1(A,B))) ) => ( v3_msualg_1(k4_osalg_1(A,B,C),A) & v4_msualg_1(k4_osalg_1(A,B,C),A) & l3_msualg_1(k4_osalg_1(A,B,C),A) ) ) )).
fof(dt_k4_parsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) ) => m1_subset_1(k4_parsp_1(A,B),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) ) )).
fof(dt_k4_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,B) ) => ( v1_funct_1(k4_partfun2(A,B,C,D)) & m1_subset_1(k4_partfun2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k4_partit1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => ( v1_partfun1(k4_partit1(A,B),A) & v3_relat_2(k4_partit1(A,B)) & v8_relat_2(k4_partit1(A,B)) & m1_subset_1(k4_partit1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k4_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k4_pboole(A,B,C)) & v4_relat_1(k4_pboole(A,B,C),A) & v1_funct_1(k4_pboole(A,B,C)) & v1_partfun1(k4_pboole(A,B,C),A) ) ) )).
fof(dt_k4_pcomps_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v1_metric_1(k4_pcomps_1(A,B)) & v6_metric_1(k4_pcomps_1(A,B)) & v7_metric_1(k4_pcomps_1(A,B)) & v8_metric_1(k4_pcomps_1(A,B)) & v9_metric_1(k4_pcomps_1(A,B)) & l1_metric_1(k4_pcomps_1(A,B)) ) ) )).
fof(dt_k4_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => ( v1_relat_1(k4_pcs_0(A,B)) & v4_relat_1(k4_pcs_0(A,B),A) & v1_funct_1(k4_pcs_0(A,B)) & v1_partfun1(k4_pcs_0(A,B),A) ) ) )).
fof(dt_k4_pdiff_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_funct_1(k4_pdiff_1(A,B)) & v1_funct_2(k4_pdiff_1(A,B),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1))) & m1_subset_1(k4_pdiff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1))))) ) ) )).
fof(dt_k4_pdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) & m1_subset_1(B,k1_euclid(2)) ) => v1_xreal_0(k4_pdiff_3(A,B)) ) )).
fof(dt_k4_pdiff_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => m2_finseq_2(k4_pdiff_4(A,B),k1_numbers,k1_euclid(3)) ) )).
fof(dt_k4_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k4_pdiff_5(A,B)) ) )).
fof(dt_k4_pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( v1_funct_1(k4_pdiff_9(A,B,C,D)) & v1_funct_2(k4_pdiff_9(A,B,C,D),k4_ordinal1,k4_partfun1(k1_euclid(A),k1_numbers)) & m1_subset_1(k4_pdiff_9(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_euclid(A),k1_numbers)))) ) ) )).
fof(dt_k4_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => m1_subset_1(k4_pencil_1(A,B),k1_zfmisc_1(k1_zfmisc_1(k4_card_3(k12_pralg_1(A,B))))) ) )).
fof(dt_k4_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) & m1_subset_1(D,A) ) => ( v1_funct_1(k4_pencil_3(A,B,C,D)) & v1_funct_2(k4_pencil_3(A,B,C,D),u1_struct_0(k2_pencil_1(A,B,D)),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),D)))) & m1_subset_1(k4_pencil_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_pencil_1(A,B,D)),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),D)))))) ) ) )).
fof(dt_k4_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & v7_ordinal1(C) ) => m1_subset_1(k4_pencil_4(A,B,C),k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A,B,C)))) ) )).
fof(dt_k4_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k4_pepin(A),k4_ordinal1) ) )).
fof(dt_k4_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u2_petri(A)) ) => m1_subset_1(k4_petri(A,B),u4_struct_0(A)) ) )).
fof(dt_k4_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & l1_petri_2(A) ) => ~ v1_xboole_0(k4_petri_3(A)) ) )).
fof(dt_k4_petri_df,axiom,( ! [A] : ( l1_petri(A) => m1_funct_2(k4_petri_df(A),u1_struct_0(A),k4_ordinal1) ) )).
fof(dt_k4_pnproc_1,axiom,( ! [A] : ! [B] : ( m1_pnproc_1(B,A) => ( v1_funct_1(k4_pnproc_1(A,B)) & v1_funct_2(k4_pnproc_1(A,B),A,k4_ordinal1) & m1_subset_1(k4_pnproc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) )).
fof(dt_k4_polyeq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_xcmplx_0(k4_polyeq_5(A,B,C)) ) )).
fof(dt_k4_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => m1_subset_1(k4_polyform(A),k4_ordinal1) ) )).
fof(dt_k4_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => m1_subset_1(k4_polynom1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k4_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & m1_finseq_1(D,k4_finseq_2(B,A)) & m1_finseq_1(E,k4_finseq_2(C,A)) ) => m2_finseq_2(k4_polynom3(A,B,C,D,E),k4_finseq_2(k2_xcmplx_0(B,C),A),k3_finseq_2(k4_finseq_2(k2_xcmplx_0(B,C),A))) ) )).
fof(dt_k4_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k4_polynom5(A,B,C)) & v1_funct_2(k4_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k4_polynom5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v1_funct_1(k4_polynom7(A,B,C)) & v1_funct_2(k4_polynom7(A,B,C),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k4_polynom7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k4_polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ( v1_funct_1(k4_polynom8(A,B)) & v1_funct_2(k4_polynom8(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k4_polynom8(A,B),A) & m1_subset_1(k4_polynom8(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ~ v1_xboole_0(k4_poset_1(A,B)) ) )).
fof(dt_k4_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k4_poset_2(A)) & v1_orders_2(k4_poset_2(A)) & v3_orders_2(k4_poset_2(A)) & v4_orders_2(k4_poset_2(A)) & v5_orders_2(k4_poset_2(A)) & v1_poset_1(k4_poset_2(A)) & v1_poset_2(k4_poset_2(A)) & l1_orders_2(k4_poset_2(A)) ) ) )).
fof(dt_k4_power,axiom,( v1_xreal_0(k4_power) )).
fof(dt_k4_pralg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => m2_finseq_1(k4_pralg_1(A,B),k4_partfun1(k3_finseq_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) )).
fof(dt_k4_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m1_pralg_3(D,A,C,B) ) => m1_pralg_2(k4_pralg_3(A,B,C,D),A,B) ) )).
fof(dt_k4_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m2_finseq_2(k4_pre_poly(A,B,C),A,k3_finseq_2(A)) ) )).
fof(dt_k4_prefer_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_card_1(A,2) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( v3_prefer_1(k4_prefer_1(A,B,C)) & l3_prefer_1(k4_prefer_1(A,B,C)) ) ) )).
fof(dt_k4_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_prob_1(k4_prob_1(A,B),A,B) ) )).
fof(dt_k4_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k9_setfam_1(A)) & v7_ordinal1(C) ) => m1_subset_1(k4_prob_3(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k4_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ( ~ v1_xboole_0(k4_prob_4(A,B,C)) & m1_subset_1(k4_prob_4(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k4_prvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v7_ordinal1(B) ) => ( ~ v2_struct_0(k4_prvect_1(A,B)) & v8_algstr_0(k4_prvect_1(A,B)) & v13_algstr_0(k4_prvect_1(A,B)) & v2_rlvect_1(k4_prvect_1(A,B)) & v3_rlvect_1(k4_prvect_1(A,B)) & v4_rlvect_1(k4_prvect_1(A,B)) & l2_algstr_0(k4_prvect_1(A,B)) ) ) )).
fof(dt_k4_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ( v1_relat_1(k4_prvect_2(A)) & v2_relat_1(k4_prvect_2(A)) & v1_funct_1(k4_prvect_2(A)) & ~ v1_xboole_0(k4_prvect_2(A)) & v1_finseq_1(k4_prvect_2(A)) ) ) )).
fof(dt_k4_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) ) => ( ~ v2_struct_0(k4_prvect_3(A,B)) & v8_algstr_0(k4_prvect_3(A,B)) & l2_algstr_0(k4_prvect_3(A,B)) ) ) )).
fof(dt_k4_pscomp_1,axiom,( v1_funct_1(k4_pscomp_1) & v1_funct_2(k4_pscomp_1,u1_struct_0(k15_euclid(2)),k1_numbers) & m1_subset_1(k4_pscomp_1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),k1_numbers))) )).
fof(dt_k4_pua2mss1,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => m2_pua2mss1(k4_pua2mss1(A,B),A) ) )).
fof(dt_k4_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k4_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1(A))) ) )).
fof(dt_k4_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k4_qc_lang2(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k4_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k4_qc_lang3(A,B,C),k1_zfmisc_1(B)) ) )).
fof(dt_k4_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_qc_lang4(C,A,B) ) => ( ~ v1_xboole_0(k4_qc_lang4(A,B,C)) & m4_trees_1(k4_qc_lang4(A,B,C),k9_xtuple_0(k2_qc_lang4(A,B))) ) ) )).
fof(dt_k4_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) & v7_ordinal1(C) & v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m1_finseq_1(D,k2_qc_lang1(A)) ) => ( v5_relat_1(k4_qc_trans(A,B,C,D),k3_qc_lang1(B)) & v3_card_1(k4_qc_trans(A,B,C,D),C) & m2_finseq_1(k4_qc_trans(A,B,C,D),k2_qc_lang1(B)) ) ) )).
fof(dt_k4_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_qmax_1(A) & m1_subset_1(B,k2_qmax_1(A)) & m1_subset_1(C,k3_qmax_1(A)) ) => m2_prob_1(k4_qmax_1(A,B,C),k1_numbers,k12_prob_1) ) )).
fof(dt_k4_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_quantal1(A) ) => m1_subset_1(k4_quantal1(A),u1_struct_0(A)) ) )).
fof(dt_k4_quatern3,axiom,( ! [A] : ( m1_subset_1(A,k1_quaterni) => m1_subset_1(k4_quatern3(A),k1_quaterni) ) )).
fof(dt_k4_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => m2_subset_1(k4_quofield(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) ) )).
fof(dt_k4_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m1_finseq_1(D,k3_radix_1(B)) ) => v1_int_1(k4_radix_1(A,B,C,D)) ) )).
fof(dt_k4_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k4_radix_3(A)) & m1_subset_1(k4_radix_3(A),k1_zfmisc_1(k4_numbers)) ) ) )).
fof(dt_k4_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v3_card_1(k4_radix_5(A,B,C),A) & m2_finseq_1(k4_radix_5(A,B,C),k3_radix_1(C)) ) ) )).
fof(dt_k4_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,2)) & m1_finseq_1(C,k3_radix_1(B)) ) => ( v3_card_1(k4_radix_6(A,B,C),k2_xcmplx_0(A,2)) & m2_finseq_1(k4_radix_6(A,B,C),k3_radix_1(B)) ) ) )).
fof(dt_k4_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => m1_random_1(k4_random_1(A,B,C,D),A,B) ) )).
fof(dt_k4_ranknull,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_ranknull(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) & m1_ratfunc1(B,A) ) => ( v1_funct_1(k4_ratfunc1(A,B)) & v1_funct_2(k4_ratfunc1(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k4_ratfunc1(A,B),A) & m1_subset_1(k4_ratfunc1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xreal_0(B) ) => m1_subset_1(k4_rcomp_1(A,B),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k4_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k4_real_1(A,B),k1_numbers) ) )).
fof(dt_k4_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v5_relat_1(k4_real_3(A),k4_numbers) & v1_funct_1(k4_real_3(A)) & v1_funct_2(k4_real_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k4_real_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k4_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k4_real_lat(A)) & v1_funct_2(k4_real_lat(A),k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(k4_real_lat(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) ) )).
fof(dt_k4_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k4_real_ns1(A)) & v1_normsp_1(k4_real_ns1(A)) & l1_normsp_1(k4_real_ns1(A)) ) ) )).
fof(dt_k4_realset1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & m1_subset_1(B,A) & m3_realset1(C,A,B) ) => ( v1_funct_1(k4_realset1(A,B,C)) & v1_funct_2(k4_realset1(A,B,C),k2_zfmisc_1(k6_subset_1(A,k6_domain_1(A,B)),k6_subset_1(A,k6_domain_1(A,B))),k6_subset_1(A,k6_domain_1(A,B))) & m1_subset_1(k4_realset1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_subset_1(A,k6_domain_1(A,B)),k6_subset_1(A,k6_domain_1(A,B))),k6_subset_1(A,k6_domain_1(A,B))))) ) ) )).
fof(dt_k4_realset2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => m3_realset1(k4_realset2(A),u1_struct_0(A),k4_struct_0(A)) ) )).
fof(dt_k4_rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_rearran1(C) & v2_rearran1(C) & v3_rearran1(C,k1_zfmisc_1(B)) & m1_finseq_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k4_rearran1(A,B,C,D)) & m1_subset_1(k4_rearran1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) )).
fof(dt_k4_relat_1,axiom,( ! [A] : v1_relat_1(k4_relat_1(A)) )).
fof(dt_k4_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => m1_subset_1(k4_relset_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(A,D))) ) )).
fof(dt_k4_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) => ( v1_funct_1(k4_relset_2(A,B,C)) & v1_funct_2(k4_relset_2(A,B,C),k9_setfam_1(B),k9_setfam_1(A)) & m1_subset_1(k4_relset_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(A)))) ) ) )).
fof(dt_k4_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k8_afinsq_1(A)) & m1_finseq_1(C,k8_afinsq_1(A)) ) => m2_finseq_1(k4_rewrite2(A,B,C),k8_afinsq_1(A)) ) )).
fof(dt_k4_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v1_xreal_0(k4_rfinseq2(A)) ) )).
fof(dt_k4_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k4_rfunct_1(A)) & v1_funct_1(k4_rfunct_1(A)) ) ) )).
fof(dt_k4_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,B) ) => m2_rfunct_3(k4_rfunct_3(A,B,C,D),A,B,k3_rfunct_3(A,B)) ) )).
fof(dt_k4_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k4_rinfsup1(A)) & v1_funct_2(k4_rinfsup1(A),k4_ordinal1,k1_numbers) & m1_subset_1(k4_rinfsup1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k4_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v1_funct_1(k4_rinfsup2(A)) & v1_funct_2(k4_rinfsup2(A),k4_ordinal1,k6_numbers) & m1_subset_1(k4_rinfsup2(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k4_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v36_algstr_0(k4_ring_2(A,B,C)) & l6_algstr_0(k4_ring_2(A,B,C)) ) ) )).
fof(dt_k4_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( v3_ringcat1(k4_ringcat1(A)) & l1_ringcat1(k4_ringcat1(A)) ) ) )).
fof(dt_k4_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_rlaffin1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_rlsub_1(C,A) & m1_rlsub_1(D,A) ) => m1_subset_1(k4_rlsub_2(A,B,C,D),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) )).
fof(dt_k4_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rltopsp1(A) & v1_xreal_0(B) ) => ( v1_funct_1(k4_rltopsp1(A,B)) & v1_funct_2(k4_rltopsp1(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k4_rltopsp1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k4_rlvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_finseq_1(B) ) => m1_subset_1(k4_rlvect_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => m1_rlvect_2(k4_rlvect_2(A),A) ) )).
fof(dt_k4_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_rmod_2(D,A,B) & m1_rmod_2(E,A,B) ) => m1_subset_1(k4_rmod_3(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) ) )).
fof(dt_k4_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_finseq_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => m2_finseq_1(k4_rmod_4(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k4_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_robbins1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_robbins3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k4_roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_roughs_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k4_roughs_2(A)) & v1_funct_2(k4_roughs_2(A),k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k4_roughs_2(A),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k4_rsspace,axiom,( v1_rlvect_1(k4_rsspace) & l1_rlvect_1(k4_rsspace) )).
fof(dt_k4_rsspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xreal_0(k4_rsspace3(A,B,C)) ) )).
fof(dt_k4_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => m1_subset_1(k4_rsspace4(A,B),k1_zfmisc_1(u1_struct_0(k5_lopban_1(A,B)))) ) )).
fof(dt_k4_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_rusub_1(C,A) & m1_rusub_1(D,A) ) => m1_subset_1(k4_rusub_2(A,B,C,D),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) )).
fof(dt_k4_rusub_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ( ~ v1_xboole_0(k4_rusub_4(A,B)) & m1_subset_1(k4_rusub_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k4_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => m1_subset_1(k4_rusub_5(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k4_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => m2_finseq_1(k4_rvsum_1(A,B),k1_numbers) ) )).
fof(dt_k4_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => m2_finseq_2(k4_rvsum_2(A,B,C),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k4_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => v7_ordinal1(k4_rvsum_3(A)) ) )).
fof(dt_k4_scm_comp,axiom,( ! [A] : ( m1_subset_1(A,k6_dtconstr(k1_scm_comp)) => ( v1_ami_2(k4_scm_comp(A)) & m1_subset_1(k4_scm_comp(A),u1_struct_0(k1_ami_3)) ) ) )).
fof(dt_k4_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => m1_subset_1(k4_scm_inst(A),k2_scm_inst) ) )).
fof(dt_k4_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k4_scmfsa6a(A,B)) & v4_relat_1(k4_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_scmfsa6a(A,B)) & v1_funct_1(k4_scmfsa6a(A,B)) & v1_finset_1(k4_scmfsa6a(A,B)) & v1_afinsq_1(k4_scmfsa6a(A,B)) ) ) )).
fof(dt_k4_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k4_scmfsa8b(A,B,C,D)) & v1_relat_1(k4_scmfsa8b(A,B,C,D)) & v4_relat_1(k4_scmfsa8b(A,B,C,D),k4_ordinal1) & v5_relat_1(k4_scmfsa8b(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa8b(A,B,C,D)) & v1_finset_1(k4_scmfsa8b(A,B,C,D)) & v1_afinsq_1(k4_scmfsa8b(A,B,C,D)) ) ) )).
fof(dt_k4_scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( v1_funct_1(k4_scmfsa9a(A,B,C,D)) & v1_funct_2(k4_scmfsa9a(A,B,C,D),k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & m1_subset_1(k4_scmfsa9a(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))))) ) ) )).
fof(dt_k4_scmfsa_1,axiom,( v1_funct_1(k4_scmfsa_1) & v1_funct_2(k4_scmfsa_1,k1_scmfsa_1,k5_card_1(3)) & m1_subset_1(k4_scmfsa_1,k1_zfmisc_1(k2_zfmisc_1(k1_scmfsa_1,k5_card_1(3)))) )).
fof(dt_k4_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_ami_2(k4_scmfsa_2(A)) & m1_subset_1(k4_scmfsa_2(A),u1_struct_0(k1_scmfsa_2)) ) ) )).
fof(dt_k4_scmfsa_7,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & m1_finseq_1(B,k4_numbers) ) => ( v1_relat_1(k4_scmfsa_7(A,B)) & v4_relat_1(k4_scmfsa_7(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa_7(A,B)) & v1_finset_1(k4_scmfsa_7(A,B)) ) ) )).
fof(dt_k4_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => m1_subset_1(k4_scmfsa_i(A),k2_scm_inst) ) )).
fof(dt_k4_scmfsa_m,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k4_scmfsa_m(A),k1_zfmisc_1(k2_scmfsa_2)) ) )).
fof(dt_k4_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k4_scmfsa_x(A,B)) & v4_relat_1(k4_scmfsa_x(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa_x(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_scmfsa_x(A,B)) & v1_funct_1(k4_scmfsa_x(A,B)) & v1_finset_1(k4_scmfsa_x(A,B)) & v1_afinsq_1(k4_scmfsa_x(A,B)) ) ) )).
fof(dt_k4_scmp_gcd,axiom,( ~ v1_xboole_0(k4_scmp_gcd) & v1_relat_1(k4_scmp_gcd) & v4_relat_1(k4_scmp_gcd,k4_ordinal1) & v5_relat_1(k4_scmp_gcd,u1_compos_1(k1_scmpds_2)) & v1_funct_1(k4_scmp_gcd) & v1_finset_1(k4_scmp_gcd) & v1_afinsq_1(k4_scmp_gcd) )).
fof(dt_k4_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => m1_subset_1(k4_scmpds_2(A),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k4_scmpds_4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k4_scmpds_4(A,B)) & v4_relat_1(k4_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k4_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_4(A,B)) & v1_funct_1(k4_scmpds_4(A,B)) & v1_finset_1(k4_scmpds_4(A,B)) & v1_afinsq_1(k4_scmpds_4(A,B)) ) ) )).
fof(dt_k4_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( v1_relat_1(k4_scmpds_6(A,B,C,D)) & v4_relat_1(k4_scmpds_6(A,B,C,D),k4_ordinal1) & v5_relat_1(k4_scmpds_6(A,B,C,D),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_6(A,B,C,D)) & v1_funct_1(k4_scmpds_6(A,B,C,D)) & v1_finset_1(k4_scmpds_6(A,B,C,D)) & v1_afinsq_1(k4_scmpds_6(A,B,C,D)) ) ) )).
fof(dt_k4_scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( v1_relat_1(k4_scmpds_7(A,B,C,D,E)) & v4_relat_1(k4_scmpds_7(A,B,C,D,E),k4_ordinal1) & v5_relat_1(k4_scmpds_7(A,B,C,D,E),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_7(A,B,C,D,E)) & v1_funct_1(k4_scmpds_7(A,B,C,D,E)) & v1_finset_1(k4_scmpds_7(A,B,C,D,E)) & v1_afinsq_1(k4_scmpds_7(A,B,C,D,E)) ) ) )).
fof(dt_k4_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => v1_int_1(k4_scmpds_i(A)) ) )).
fof(dt_k4_scmring1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) & m1_subset_1(C,k2_ami_2) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k4_scmring1(A,B,C,D),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) ) )).
fof(dt_k4_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => m1_subset_1(k4_scmring2(A,B,C),u1_compos_1(k1_scmring2(A))) ) )).
fof(dt_k4_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_scmringi(A)) ) => m1_subset_1(k4_scmringi(A,B),k4_ordinal1) ) )).
fof(dt_k4_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & m1_subset_1(B,k3_tarski(A)) ) => m1_subset_1(k4_scmyciel(A,B),k1_zfmisc_1(k3_tarski(A))) ) )).
fof(dt_k4_scpinvar,axiom,( ~ v1_xboole_0(k4_scpinvar) & v1_relat_1(k4_scpinvar) & v4_relat_1(k4_scpinvar,k4_ordinal1) & v5_relat_1(k4_scpinvar,u1_compos_1(k1_scmpds_2)) & v1_funct_1(k4_scpinvar) & v1_finset_1(k4_scpinvar) & v1_afinsq_1(k4_scpinvar) )).
fof(dt_k4_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_membered(A) ) => m1_subset_1(k4_seq_4(A),k4_ordinal1) ) )).
fof(dt_k4_seqfunc,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k4_seqfunc(A,B)) & v1_funct_2(k4_seqfunc(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k4_seqfunc(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k4_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k4_series_1(A)) ) )).
fof(dt_k4_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k4_setlim_1(A,B)) & v1_funct_2(k4_setlim_1(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k4_setlim_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k4_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k4_setlim_2(A,B,C)) & v1_funct_2(k4_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k4_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k4_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => m1_subset_1(k4_setwiseo(A,B,C,D),k5_finsub_1(A)) ) )).
fof(dt_k4_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => m1_subset_1(k4_sf_mastr(A),k5_finsub_1(k3_scmfsa_2)) ) )).
fof(dt_k4_sfmastr2,axiom,( ! [A] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k4_sfmastr2(A)) & v4_relat_1(k4_sfmastr2(A),k4_ordinal1) & v5_relat_1(k4_sfmastr2(A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_sfmastr2(A)) & v1_funct_1(k4_sfmastr2(A)) & v1_finset_1(k4_sfmastr2(A)) & v1_afinsq_1(k4_sfmastr2(A)) & v3_compos_1(k4_sfmastr2(A),k1_scmfsa_2) & v4_compos_1(k4_sfmastr2(A),k1_scmfsa_2) ) ) )).
fof(dt_k4_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k4_sfmastr3(A,B,C)) & v4_relat_1(k4_sfmastr3(A,B,C),k4_ordinal1) & v5_relat_1(k4_sfmastr3(A,B,C),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_sfmastr3(A,B,C)) & ~ v1_xboole_0(k4_sfmastr3(A,B,C)) & v1_finset_1(k4_sfmastr3(A,B,C)) & v1_afinsq_1(k4_sfmastr3(A,B,C)) & v3_compos_1(k4_sfmastr3(A,B,C),k1_scmfsa_2) & v4_compos_1(k4_sfmastr3(A,B,C),k1_scmfsa_2) ) ) )).
fof(dt_k4_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_sgraph1(B,A) => m1_subset_1(k4_sgraph1(A,B,C),k4_ordinal1) ) )).
fof(dt_k4_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(k4_simplex0(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( ~ v3_pencil_1(k4_simplex1(A,B)) & v1_matroid0(k4_simplex1(A,B)) & v3_matroid0(k4_simplex1(A,B)) & m1_simplex1(k4_simplex1(A,B),A,B) ) ) )).
fof(dt_k4_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k4_sin_cos(A)) & v1_funct_2(k4_sin_cos(A),k4_ordinal1,k1_numbers) & m1_subset_1(k4_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k4_sin_cos3,axiom,( v1_funct_1(k4_sin_cos3) & v1_funct_2(k4_sin_cos3,k2_numbers,k2_numbers) & m1_subset_1(k4_sin_cos3,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(dt_k4_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k4_sin_cos4(A)) ) )).
fof(dt_k4_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k4_sin_cos7(A)) ) )).
fof(dt_k4_sincos10,axiom,( v1_funct_1(k4_sincos10) & m1_subset_1(k4_sincos10,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k4_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( v1_funct_1(k4_stacks_1(A,B,C,D,E,F)) & v1_funct_2(k4_stacks_1(A,B,C,D,E,F),A,B) & m1_subset_1(k4_stacks_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k4_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => m1_subset_1(k4_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_k4_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_qc_lang1(B) & m1_subset_1(C,k8_qc_lang1(B,A)) & v5_relat_1(D,k3_qc_lang1(B)) & v3_card_1(D,A) & m1_finseq_1(D,k2_qc_lang1(B)) & m1_subset_1(E,k1_substut1(B)) ) => m2_subset_1(k4_sublemma(A,B,C,D,E),k16_substut1(B),k38_substut1(B)) ) )).
fof(dt_k4_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k4_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) & m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) ) => m1_subset_1(k4_substlat(A,B,C,D),k5_finsub_1(k4_partfun1(A,B))) ) )).
fof(dt_k4_substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k3_qc_lang1(A)) ) => m2_subset_1(k4_substut2(A,B,C,D),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k4_supinf_1,axiom,( ! [A] : ( v2_membered(A) => v2_membered(k4_supinf_1(A)) ) )).
fof(dt_k4_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => m1_subset_1(k4_supinf_2(A,B),k6_numbers) ) )).
fof(dt_k4_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k4_t_0topsp(A)) & v1_funct_2(k4_t_0topsp(A),u1_struct_0(A),u1_struct_0(k3_t_0topsp(A))) & v5_pre_topc(k4_t_0topsp(A),A,k3_t_0topsp(A)) & m1_subset_1(k4_t_0topsp(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A))))) ) ) )).
fof(dt_k4_taxonom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & l1_metric_1(A) ) => m1_subset_1(k4_taxonom1(A),k1_zfmisc_1(k1_partit1(u1_struct_0(A)))) ) )).
fof(dt_k4_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k4_taylor_1(A)) & m1_subset_1(k4_taylor_1(A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k4_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k4_tdlat_1(A)) & v10_lattices(k4_tdlat_1(A)) & v15_lattices(k4_tdlat_1(A)) & v16_lattices(k4_tdlat_1(A)) & l3_lattices(k4_tdlat_1(A)) ) ) )).
fof(dt_k4_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => m1_subset_1(k4_termord(A,B,C,D),u1_struct_0(C)) ) )).
fof(dt_k4_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k4_tex_4(A,B)) & m1_subset_1(k4_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k4_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_pre_topc(B,A) ) => ( v1_funct_1(k4_tmap_1(A,B)) & v1_funct_2(k4_tmap_1(A,B),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k4_tmap_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k4_topalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k4_topalg_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_topalg_1(A,B),k2_topalg_1(A,B)))) ) )).
fof(dt_k4_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))))) ) => ( v1_funct_1(k4_topalg_4(A,B,C,D)) & v1_funct_2(k4_topalg_4(A,B,C,D),u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(k4_topalg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) ) )).
fof(dt_k4_topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k4_topalg_5(A,B,C,D,E)) & v1_funct_2(k4_topalg_5(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(k4_topalg_5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) ) )).
fof(dt_k4_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_topalg_6(A)) & m1_subset_1(C,k1_topalg_6(A)) ) => m2_subset_1(k4_topalg_6(A,B,C),k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) )).
fof(dt_k4_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) & m1_borsuk_2(D,A,B,B) ) => ( v1_funct_1(k4_topalg_7(A,B,C,D)) & v1_funct_2(k4_topalg_7(A,B,C,D),u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(k4_topalg_7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) ) )).
fof(dt_k4_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v1_int_1(k4_topdim_1(A)) ) )).
fof(dt_k4_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v1_card_1(k4_topgen_1(A)) ) )).
fof(dt_k4_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_topgen_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_tops_2(k4_topgen_2(A,B,C),A) & v1_yellow_8(k4_topgen_2(A,B,C),A,C) & m1_subset_1(k4_topgen_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_k4_topgen_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( v1_funct_1(k4_topgen_3(A,B)) & v1_funct_2(k4_topgen_3(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k4_topgen_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k4_topgen_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_topgen_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_topgen_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v2_xxreal_0(B) ) => ( v1_funct_1(k4_topgen_5(A,B)) & v1_funct_2(k4_topgen_5(A,B),u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)) & m1_subset_1(k4_topgen_5(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)))) ) ) )).
fof(dt_k4_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => m3_topgrp_1(k4_topgrp_1(A),A) ) )).
fof(dt_k4_topmetr,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ~ v2_struct_0(k4_topmetr(A,B)) & v1_pre_topc(k4_topmetr(A,B)) & m1_pre_topc(k4_topmetr(A,B),k3_topmetr) ) ) )).
fof(dt_k4_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(k4_topreal1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k4_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(k1_topreal7(A,B))) ) => m1_subset_1(k4_topreal7(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k4_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k4_topreal9(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k4_toprealb(A),u1_struct_0(k2_topalg_2)) ) )).
fof(dt_k4_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(k2_borsuk_1(A,B))) ) => m1_subset_1(k4_toprealc(A,B,C,D,E),u1_struct_0(C)) ) )).
fof(dt_k4_toprns_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k4_toprns_1(A,B,C)) & v1_funct_2(k4_toprns_1(A,B,C),k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(k4_toprns_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_k4_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k4_topmetr(k5_numbers,1))) & m1_subset_1(D,u1_struct_0(k4_topmetr(k5_numbers,1))) ) => ( v1_funct_1(k4_treal_1(A,B,C,D)) & v1_funct_2(k4_treal_1(A,B,C,D),u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1))) & m1_subset_1(k4_treal_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1))))) ) ) )).
fof(dt_k4_trees_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_finseq_1(B,k4_ordinal1) ) => ( ~ v1_xboole_0(k4_trees_1(A,B)) & v1_trees_1(k4_trees_1(A,B)) ) ) )).
fof(dt_k4_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_trees_3(k4_trees_3(A),A) ) )).
fof(dt_k4_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k4_trees_4(A,B)) & v1_funct_1(k4_trees_4(A,B)) & v3_trees_2(k4_trees_4(A,B)) ) ) )).
fof(dt_k4_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_turing_1(A) & m1_subset_1(B,k9_funct_2(k4_numbers,u1_turing_1(A))) & v1_int_1(C) & m1_subset_1(D,u1_turing_1(A)) ) => m2_funct_2(k4_turing_1(A,B,C,D),k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) ) )).
fof(dt_k4_twoscomp,axiom,( v1_funct_1(k4_twoscomp) & v1_funct_2(k4_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k4_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k4_unialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_unialg_1(k4_unialg_2(A,B)) & m1_unialg_2(k4_unialg_2(A,B),A) ) ) )).
fof(dt_k4_unialg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_unialg_3(A))) ) => ( v1_unialg_1(k4_unialg_3(A,B)) & m1_unialg_2(k4_unialg_3(A,B),A) ) ) )).
fof(dt_k4_uniroots,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & ~ v2_struct_0(B) & v6_vectsp_1(B) & l6_algstr_0(B) ) => ( v1_funct_1(k4_uniroots(A,B)) & v1_funct_2(k4_uniroots(A,B),k4_ordinal1,u1_struct_0(B)) & v1_polynom1(k4_uniroots(A,B),B) & m1_subset_1(k4_uniroots(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k4_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( v1_funct_1(k4_uproots(A,B,C)) & v1_funct_2(k4_uproots(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k4_uproots(A,B,C),A) & m1_subset_1(k4_uproots(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k4_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k4_urysohn1(A)) & v1_funct_1(k4_urysohn1(A)) & v1_finseq_1(k4_urysohn1(A)) ) ) )).
fof(dt_k4_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_urysohn3(D,A,B,C) ) => ( v1_funct_1(k4_urysohn3(A,B,C,D)) & v1_funct_2(k4_urysohn3(A,B,C,D),u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(k4_urysohn3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k4_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m1_finseq_1(D,k2_qc_lang1(A)) & m1_subset_1(E,k2_valuat_1(A,B)) ) => m2_finseq_1(k4_valuat_1(A,B,C,D,E),B) ) )).
fof(dt_k4_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v2_struct_0(k4_vectmetr(A)) & v13_algstr_0(k4_vectmetr(A)) & v6_metric_1(k4_vectmetr(A)) & v7_metric_1(k4_vectmetr(A)) & v8_metric_1(k4_vectmetr(A)) & v9_metric_1(k4_vectmetr(A)) & v2_rlvect_1(k4_vectmetr(A)) & v3_rlvect_1(k4_vectmetr(A)) & v4_rlvect_1(k4_vectmetr(A)) & v5_rlvect_1(k4_vectmetr(A)) & v6_rlvect_1(k4_vectmetr(A)) & v7_rlvect_1(k4_vectmetr(A)) & v8_rlvect_1(k4_vectmetr(A)) & v4_vectmetr(k4_vectmetr(A)) & v5_vectmetr(k4_vectmetr(A)) & v6_vectmetr(k4_vectmetr(A)) & l1_vectmetr(k4_vectmetr(A)) ) ) )).
fof(dt_k4_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => m2_subset_1(k4_vectsp10(A,B,C),k1_zfmisc_1(u1_struct_0(B)),k2_vectsp10(A,B,C)) ) )).
fof(dt_k4_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_funct_1(k4_vectsp_1(A)) & v1_funct_2(k4_vectsp_1(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k4_vectsp_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k4_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k4_vectsp_2(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k4_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_vectsp_4(D,A,B) & m1_vectsp_4(E,A,B) ) => m1_subset_1(k4_vectsp_5(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) ) )).
fof(dt_k4_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) ) => m1_subset_1(k4_vectsp_6(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k4_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k4_vectsp_8(A,B)) & v1_funct_2(k4_vectsp_8(A,B),k2_vectsp_8(A,B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(k4_vectsp_8(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_vectsp_8(A,B),k9_setfam_1(u1_struct_0(B))))) ) ) )).
fof(dt_k4_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_xreal_0(D) ) => ( v1_funct_1(k4_vfunct_1(A,B,C,D)) & m1_subset_1(k4_vfunct_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k4_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( v1_funct_1(k4_vsdiff_1(A,B,C,D,E,F)) & v1_funct_2(k4_vsdiff_1(A,B,C,D,E,F),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k4_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) )).
fof(dt_k4_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k4_waybel10(A)) & v1_orders_2(k4_waybel10(A)) & v4_yellow_0(k4_waybel10(A),k3_waybel10(A)) & m1_yellow_0(k4_waybel10(A),k3_waybel10(A)) ) ) )).
fof(dt_k4_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v6_waybel_0(k4_waybel11(A,B),A) & l1_waybel_0(k4_waybel11(A,B),A) ) ) )).
fof(dt_k4_waybel17,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v6_waybel_0(k4_waybel17(A,B),A) & l1_waybel_0(k4_waybel17(A,B),A) ) ) )).
fof(dt_k4_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(k4_waybel18(A,B,C)) & l1_pre_topc(k4_waybel18(A,B,C)) ) ) )).
fof(dt_k4_waybel20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ~ v1_xboole_0(k4_waybel20(A,B)) & m1_subset_1(k4_waybel20(A,B),k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) ) )).
fof(dt_k4_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v1_funct_1(k4_waybel23(A,B)) & v1_funct_2(k4_waybel23(A,B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(k4_waybel23(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) ) )).
fof(dt_k4_waybel26,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k4_waybel26(A,B,C,D)) & v1_funct_2(k4_waybel26(A,B,C,D),u1_struct_0(k1_waybel26(C,A)),u1_struct_0(k1_waybel26(B,A))) & m1_subset_1(k4_waybel26(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel26(C,A)),u1_struct_0(k1_waybel26(B,A))))) ) ) )).
fof(dt_k4_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) & ~ v2_struct_0(D) & v3_orders_2(D) & v5_orders_2(D) & l1_orders_2(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k4_waybel27(A,B,C,D,E,F)) & v1_funct_2(k4_waybel27(A,B,C,D,E,F),u1_struct_0(k2_waybel27(B,C)),u1_struct_0(k2_waybel27(A,D))) & m1_subset_1(k4_waybel27(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_waybel27(B,C)),u1_struct_0(k2_waybel27(A,D))))) ) ) )).
fof(dt_k4_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(k4_waybel28(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k4_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k4_waybel29(A)) & v1_funct_2(k4_waybel29(A),u1_struct_0(k1_waybel26(A,k9_waybel18)),u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) & m1_subset_1(k4_waybel29(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel26(A,k9_waybel18)),u1_struct_0(k1_yellow_1(u1_pre_topc(A)))))) ) ) )).
fof(dt_k4_waybel34,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k4_waybel34(A)) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A)) ) ) )).
fof(dt_k4_waybel35,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k4_waybel35(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_waybel_0,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_waybel_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_waybel_1(A,B)) & v1_funct_2(k4_waybel_1(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k4_waybel_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k4_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k4_waybel_2(A)) & v1_funct_2(k4_waybel_2(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & m1_subset_1(k4_waybel_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)))) ) ) )).
fof(dt_k4_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k4_waybel_3(A,B,C,D),u1_struct_0(k3_waybel_3(A,B,D))) ) )).
fof(dt_k4_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(k4_waybel_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k4_waybel_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ( v1_funct_1(k4_waybel_5(A,B)) & v1_funct_2(k4_waybel_5(A,B),k9_xtuple_0(B),u1_struct_0(A)) & m1_subset_1(k4_waybel_5(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k4_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( v6_waybel_0(k4_waybel_9(A,B,C),A) & l1_waybel_0(k4_waybel_9(A,B,C),A) ) ) )).
fof(dt_k4_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k4_weddwitt(A)) & ~ v6_struct_0(k4_weddwitt(A)) & v13_algstr_0(k4_weddwitt(A)) & v33_algstr_0(k4_weddwitt(A)) & v36_algstr_0(k4_weddwitt(A)) & v2_rlvect_1(k4_weddwitt(A)) & v3_rlvect_1(k4_weddwitt(A)) & v4_rlvect_1(k4_weddwitt(A)) & v4_vectsp_1(k4_weddwitt(A)) & v5_vectsp_1(k4_weddwitt(A)) & v3_group_1(k4_weddwitt(A)) & v5_group_1(k4_weddwitt(A)) & l6_algstr_0(k4_weddwitt(A)) ) ) )).
fof(dt_k4_weierstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_weierstr(A,B)) & v1_funct_2(k4_weierstr(A,B),u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k4_weierstr(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k4_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A)) ) )).
fof(dt_k4_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k4_xxreal_0(A,B)) ) )).
fof(dt_k4_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k4_xxreal_3(A,B)) ) )).
fof(dt_k4_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k4_yellow18(A)) & v2_altcat_1(k4_yellow18(A)) & v6_altcat_1(k4_yellow18(A)) & v11_altcat_1(k4_yellow18(A)) & v12_altcat_1(k4_yellow18(A)) & v4_yellow18(k4_yellow18(A)) & l2_altcat_1(k4_yellow18(A)) ) ) )).
fof(dt_k4_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v2_altcat_1(C) & v3_altcat_2(C,A) & m1_altcat_2(C,A) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( v9_functor0(k4_yellow20(A,B,C,D),C,B) & v15_functor0(k4_yellow20(A,B,C,D),C,B) & m2_functor0(k4_yellow20(A,B,C,D),C,B) ) ) )).
fof(dt_k4_yellow21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v3_yellow21(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v3_orders_2(k4_yellow21(A,B)) & v4_orders_2(k4_yellow21(A,B)) & v5_orders_2(k4_yellow21(A,B)) & v1_lattice3(k4_yellow21(A,B)) & v2_lattice3(k4_yellow21(A,B)) & v3_lattice3(k4_yellow21(A,B)) & l1_orders_2(k4_yellow21(A,B)) ) ) )).
fof(dt_k4_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(k4_yellow_0(A),u1_struct_0(A)) ) )).
fof(dt_k4_yellow_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => ( v1_orders_2(k4_yellow_1(A,B)) & l1_orders_2(k4_yellow_1(A,B)) ) ) )).
fof(dt_k4_yellow_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_relat_1(B) ) => m1_subset_1(k4_yellow_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k4_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => m1_subset_1(k4_yellow_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k4_yellow_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k4_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l1_waybel_0(B,A) ) => ( v6_waybel_0(k4_yellow_6(A,B,C),A) & m1_yellow_6(k4_yellow_6(A,B,C),A,B) ) ) )).
fof(dt_k4_zf_fund1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zf_lang)) => m1_subset_1(k4_zf_fund1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k4_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) ) => m2_finseq_1(k4_zf_lang(A,B),k4_ordinal1) ) )).
fof(dt_k4_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => ( ~ v1_xboole_0(k4_zf_lang1(A)) & m1_subset_1(k4_zf_lang1(A),k1_zfmisc_1(k1_zf_lang)) ) ) )).
fof(dt_k4_zf_refle,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) ) => ( ~ v1_xboole_0(k4_zf_refle(A,B)) & m1_subset_1(k4_zf_refle(A,B),k1_zfmisc_1(A)) ) ) )).
fof(dt_k4_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul01(k4_zmodul01(A)) & m1_zmodul01(k4_zmodul01(A),A) ) ) )).
fof(dt_k4_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_int_1(B) ) => ( v1_funct_1(k4_zmodul02(A,B)) & v1_funct_2(k4_zmodul02(A,B),k2_zfmisc_1(k4_numbers,k1_zmodul02(A,B)),k1_zmodul02(A,B)) & m1_subset_1(k4_zmodul02(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k1_zmodul02(A,B)),k1_zmodul02(A,B)))) ) ) )).
fof(dt_k4_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k4_zmodul04(A)) & v1_funct_2(k4_zmodul04(A),k2_zfmisc_1(u1_struct_0(k11_gaussint),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))) & m1_subset_1(k4_zmodul04(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_gaussint),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))),k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A))))) ) ) )).
fof(dt_k4_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_zmodul01(k4_zmodul05(A,B,C)) & m1_zmodul01(k4_zmodul05(A,B,C),B) ) ) )).
fof(dt_k50_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_relat_1(k50_fomodel4(A)) & v1_funct_1(k50_fomodel4(A)) ) ) )).
fof(dt_k50_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k50_gfacirc1(A,B,C),k49_gfacirc1(A,B,C)) & v4_msafree2(k50_gfacirc1(A,B,C),k49_gfacirc1(A,B,C)) & v4_circcomb(k50_gfacirc1(A,B,C),k49_gfacirc1(A,B,C)) & v6_circcomb(k50_gfacirc1(A,B,C),k49_gfacirc1(A,B,C)) & l3_msualg_1(k50_gfacirc1(A,B,C),k49_gfacirc1(A,B,C)) ) )).
fof(dt_k50_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k50_modelc_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k50_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k50_valued_1(A,B)) & v1_funct_1(k50_valued_1(A,B)) ) ) )).
fof(dt_k51_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => m1_subset_1(k51_abcmiz_1(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k51_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k51_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k51_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k51_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k51_fomodel4(A)) & v1_funct_2(k51_fomodel4(A),k35_fomodel1(A),k32_fomodel1(A)) & m1_subset_1(k51_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),k32_fomodel1(A)))) ) ) )).
fof(dt_k51_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) ) => m1_subset_1(k51_modelc_1(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k51_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k51_valued_1(A,B,C,D,E)) & m1_subset_1(k51_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k51_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k51_valued_2(A,B,C)) & v1_funct_1(k51_valued_2(A,B,C)) ) ) )).
fof(dt_k52_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => m1_subset_1(k52_abcmiz_1(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k52_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,k1_zfmisc_1(A)) ) => m1_subset_1(k52_modelc_1(A,B,C,D),u1_struct_0(k48_modelc_1(A,B,C))) ) )).
fof(dt_k52_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k52_valued_1(A,B,C,D,E)) & m1_subset_1(k52_valued_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k52_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => ( v1_funct_1(k52_valued_2(A,B,C,D)) & m1_subset_1(k52_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k53_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,A) & m1_subset_1(E,A) ) => m1_subset_1(k53_abcmiz_1(A,B,C,D,E),A) ) )).
fof(dt_k53_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m3_aofa_i00(F,A,B,C,D) ) => ( v15_aofa_000(k53_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k53_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k53_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) ) => m1_subset_1(k53_modelc_1(A,B,C,D,E),u1_struct_0(k48_modelc_1(A,B,C))) ) )).
fof(dt_k53_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( v1_funct_1(k53_valued_2(A,B,C,D)) & m1_subset_1(k53_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k54_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) ) => ( v1_funct_1(k54_abcmiz_1(A,B)) & m1_subset_1(k54_abcmiz_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) ) )).
fof(dt_k54_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m3_aofa_i00(F,A,B,C,D) ) => ( v15_aofa_000(k54_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k54_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k54_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(E,k1_zfmisc_1(A)) ) => m1_subset_1(k54_modelc_1(A,B,C,D,E),k1_zfmisc_1(A)) ) )).
fof(dt_k54_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) ) ) )).
fof(dt_k55_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => m4_abcmiz_1(k55_abcmiz_1(A,B),A,k28_abcmiz_1(A)) ) )).
fof(dt_k55_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m3_aofa_i00(F,A,B,C,D) ) => ( v15_aofa_000(k55_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k55_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k55_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_modelc_1(C,A,B) & m1_subset_1(D,k4_ordinal1) ) => m1_modelc_1(k55_modelc_1(A,B,C,D),A,B) ) )).
fof(dt_k55_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k55_valued_1(A,B,C)) & m1_subset_1(k55_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k56_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => m1_subset_1(k56_abcmiz_1(A,B,C),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) )).
fof(dt_k56_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m3_aofa_i00(F,A,B,C,D) ) => ( v15_aofa_000(k56_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k56_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k56_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k56_valued_1(A,B,C)) & m1_subset_1(k56_valued_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k57_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v1_relat_1(k57_abcmiz_1(A,B,C)) & v1_funct_1(k57_abcmiz_1(A,B,C)) & v1_finseq_1(k57_abcmiz_1(A,B,C)) ) ) )).
fof(dt_k57_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k57_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k57_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k57_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_modelc_1(C,A,B) & m1_modelc_1(D,A,B) & v7_ordinal1(E) ) => ( v1_funct_1(k57_modelc_1(A,B,C,D,E)) & v1_funct_2(k57_modelc_1(A,B,C,D,E),k4_ordinal1,A) & m1_subset_1(k57_modelc_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k57_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k57_valued_2(A,B,C)) & v1_funct_1(k57_valued_2(A,B,C)) ) ) )).
fof(dt_k58_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_finseq_1(C,k34_abcmiz_1(A)) ) => m1_trees_4(k58_abcmiz_1(A,B,C),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) ) )).
fof(dt_k58_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k58_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k58_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k58_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) ) => ( v1_funct_1(k58_modelc_1(A,B,C,D)) & v1_funct_2(k58_modelc_1(A,B,C,D),k1_zfmisc_1(A),k1_zfmisc_1(A)) & v6_cohsp_1(k58_modelc_1(A,B,C,D)) & m1_subset_1(k58_modelc_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) ) )).
fof(dt_k58_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => ( v1_funct_1(k58_valued_2(A,B,C,D)) & m1_subset_1(k58_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k59_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_abcmiz_1(C,A,k14_abcmiz_1(A)) ) => m1_abcmiz_1(k59_abcmiz_1(A,B,C),A,k14_abcmiz_1(A)) ) )).
fof(dt_k59_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k59_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k59_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k59_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(F,u1_struct_0(k48_modelc_1(A,B,C))) ) => m1_subset_1(k59_modelc_1(A,B,C,D,E,F),u1_struct_0(k48_modelc_1(A,B,C))) ) )).
fof(dt_k59_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( v1_funct_1(k59_valued_2(A,B,C,D)) & m1_subset_1(k59_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k5_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_abcmiz_0(A)) ) => m1_subset_1(k5_abcmiz_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_abcmiz_a,axiom,( ~ v1_xboole_0(k5_abcmiz_a) & m1_subset_1(k5_abcmiz_a,k1_zfmisc_1(k20_abcmiz_1)) )).
fof(dt_k5_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ( v1_funct_1(k5_aescip_1(A)) & v1_funct_2(k5_aescip_1(A),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(k5_aescip_1(A),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) ) ) )).
fof(dt_k5_afinsq_1,axiom,( ! [A] : ( v1_relat_1(k5_afinsq_1(A)) & v1_funct_1(k5_afinsq_1(A)) ) )).
fof(dt_k5_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( v1_relat_1(k5_afinsq_2(A,B)) & v1_funct_1(k5_afinsq_2(A,B)) & v5_ordinal1(k5_afinsq_2(A,B)) & v1_finset_1(k5_afinsq_2(A,B)) ) ) )).
fof(dt_k5_afproj,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_afproj(A,B),k1_zfmisc_1(k1_afproj(A))) ) )).
fof(dt_k5_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v8_algstr_0(k5_afvect0(A,B)) & l2_algstr_0(k5_afvect0(A,B)) ) ) )).
fof(dt_k5_alg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_alg_1(B,A) ) => ( v1_funct_1(k5_alg_1(A,B)) & v1_funct_2(k5_alg_1(A,B),u1_struct_0(A),u1_struct_0(k4_alg_1(A,B))) & m1_subset_1(k5_alg_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k4_alg_1(A,B))))) ) ) )).
fof(dt_k5_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_algstr_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k5_algstr_4(A,B)) & v1_funct_2(k5_algstr_4(A,B),u1_struct_0(A),u1_struct_0(k4_algstr_4(A,B))) & m1_subset_1(k5_algstr_4(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k4_algstr_4(A,B))))) ) ) )).
fof(dt_k5_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_altcat_1(A,B,C)) & m1_subset_1(F,k1_altcat_1(A,C,D)) ) => m1_subset_1(k5_altcat_1(A,B,C,D,E,F),k1_altcat_1(A,B,D)) ) )).
fof(dt_k5_altcat_2,axiom,( v6_altcat_1(k5_altcat_2) & l2_altcat_1(k5_altcat_2) )).
fof(dt_k5_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k5_altcat_4(A)) & v2_altcat_1(k5_altcat_4(A)) & v6_altcat_1(k5_altcat_4(A)) & m1_altcat_2(k5_altcat_4(A),A) ) ) )).
fof(dt_k5_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => m1_subset_1(k5_ami_2(A),k4_ordinal1) ) )).
fof(dt_k5_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => m1_subset_1(k5_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k5_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,k4_ordinal1) ) => m1_subset_1(k5_ami_wstd(A,B,C),k4_ordinal1) ) )).
fof(dt_k5_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) ) => m1_subset_1(k5_amistd_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k5_analort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_analmetr(k5_analort(A,B,C)) & l1_analmetr(k5_analort(A,B,C)) ) ) )).
fof(dt_k5_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_collsp(k5_anproj_1(A)) & l1_collsp(k5_anproj_1(A)) ) ) )).
fof(dt_k5_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) & m1_subset_1(I,k1_funct_1(u3_msualg_1(A,C),G)) ) => m1_subset_1(k5_aofa_a01(A,B,C,D,E,F,G,H,I),u1_struct_0(E)) ) )).
fof(dt_k5_aofa_i00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k5_aofa_i00(A,B)) & v5_relat_1(k5_aofa_i00(A,B),k4_numbers) & v1_funct_1(k5_aofa_i00(A,B)) ) ) )).
fof(dt_k5_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => m1_subset_1(k5_armstrng(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_armstrng(A)),k9_setfam_1(u1_armstrng(A))))) ) )).
fof(dt_k5_arytm_0,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k5_arytm_0(A,B),k2_numbers) ) )).
fof(dt_k5_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_arytm_2) & m1_subset_1(B,k1_arytm_2) ) => m2_subset_1(k5_arytm_2(A,B),k1_zfmisc_1(k5_arytm_3),k1_arytm_2) ) )).
fof(dt_k5_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k5_asympt_0(A,B)) & v1_funct_2(k5_asympt_0(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k5_asympt_0(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k5_asympt_1,axiom,( ~ v1_xboole_0(k5_asympt_1) & m1_subset_1(k5_asympt_1,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k5_autalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v1_xboole_0(k5_autalg_1(A,B)) & m1_subset_1(k5_autalg_1(A,B),k1_zfmisc_1(k4_autalg_1(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)))) ) ) )).
fof(dt_k5_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k5_autgroup(A)) & v1_group_3(k5_autgroup(A),k3_autgroup(A)) & m1_group_2(k5_autgroup(A),k3_autgroup(A)) ) ) )).
fof(dt_k5_bagorder,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( v1_partfun1(k5_bagorder(A,B),k15_pre_poly(A)) & v1_relat_2(k5_bagorder(A,B)) & v4_relat_2(k5_bagorder(A,B)) & v8_relat_2(k5_bagorder(A,B)) & m1_subset_1(k5_bagorder(A,B),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_k5_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ~ v1_xboole_0(k5_bcialg_1(A)) & m1_subset_1(k5_bcialg_1(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k5_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ( v1_funct_1(k5_bcialg_4(A)) & v1_funct_2(k5_bcialg_4(A),k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(k5_bcialg_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) ) ) )).
fof(dt_k5_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) & m4_bcialg_2(C,A,B) ) => ( v1_funct_1(k5_bcialg_6(A,B,C)) & v1_funct_2(k5_bcialg_6(A,B,C),u1_struct_0(A),u1_struct_0(k9_bcialg_2(A,C))) & v2_bcialg_6(k5_bcialg_6(A,B,C),A,k9_bcialg_2(A,C)) & m1_subset_1(k5_bcialg_6(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k9_bcialg_2(A,C))))) ) ) )).
fof(dt_k5_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k5_bhsp_1(A,B,C)) & v1_funct_2(k5_bhsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k5_bhsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_bhsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k5_bhsp_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_bhsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k5_bhsp_4(A,B,C)) & v1_funct_2(k5_bhsp_4(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k5_bhsp_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_bhsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => m1_subset_1(k5_bhsp_5(A,B,C,D,E),A) ) )).
fof(dt_k5_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k5_bilinear(A,B,C,D,E)) & v1_funct_2(k5_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(k5_bilinear(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k5_binari_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => m1_subset_1(k5_binari_2(A,B,C),k5_margrel1) ) )).
fof(dt_k5_binarith,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) ) => ( v3_card_1(k5_binarith(A,B),A) & m2_finseq_1(k5_binarith(A,B),k4_ordinal1) ) ) )).
fof(dt_k5_binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m1_subset_1(k5_binom(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_binop_2,axiom,( v1_funct_1(k5_binop_2) & v1_funct_2(k5_binop_2,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m1_subset_1(k5_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers))) )).
fof(dt_k5_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_connsp_2(E,A,C) & m1_connsp_2(F,B,D) ) => m1_connsp_2(k5_borsuk_1(A,B,C,D,E,F),k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D)) ) )).
fof(dt_k5_borsuk_6,axiom,( v1_funct_1(k5_borsuk_6) & v1_funct_2(k5_borsuk_6,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & m1_subset_1(k5_borsuk_6,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) )).
fof(dt_k5_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & ~ v3_xxreal_0(B) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k2_brouwer(A,C,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k2_brouwer(A,C,B))))) ) => ( v1_funct_1(k5_brouwer(A,B,C,D)) & v1_funct_2(k5_brouwer(A,B,C,D),u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k7_toprealb(A,C,B))) & m1_subset_1(k5_brouwer(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(A,C,B)),u1_struct_0(k7_toprealb(A,C,B))))) ) ) )).
fof(dt_k5_bspace,axiom,( ! [A] : ( v1_funct_1(k5_bspace(A)) & v1_funct_2(k5_bspace(A),k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)),k1_zfmisc_1(A)) & m1_subset_1(k5_bspace(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)),k1_zfmisc_1(A)))) ) )).
fof(dt_k5_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k5_bvfunc25(A,B,C)) & v1_funct_2(k5_bvfunc25(A,B,C),A,k5_margrel1) & m1_subset_1(k5_bvfunc25(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k5_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k5_bvfunc_1(A,B,C)) & v1_funct_2(k5_bvfunc_1(A,B,C),A,k5_margrel1) & m1_subset_1(k5_bvfunc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k5_bvfunc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) ) => m1_eqrel_1(k5_bvfunc_2(A,B,C),A) ) )).
fof(dt_k5_c0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k5_c0sp1(A,B)) & v1_funct_2(k5_c0sp1(A,B),k2_zfmisc_1(k1_numbers,B),B) & m1_subset_1(k5_c0sp1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,B),B))) ) ) )).
fof(dt_k5_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => l1_lopban_2(k5_c0sp2(A)) ) )).
fof(dt_k5_calcul_2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k3_cqc_lang(A)) ) => m2_subset_1(k5_calcul_2(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k5_card_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k5_card_1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k5_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => m2_card_fil(k5_card_fil(A),A) ) )).
fof(dt_k5_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_cat_1(E,A,B,C) & m1_cat_1(F,A,C,D) ) => m1_cat_1(k5_cat_1(A,B,C,D,E,F),A,B,D) ) )).
fof(dt_k5_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m3_cat_2(B,A) ) => m2_cat_1(k5_cat_2(A,B),B,A) ) )).
fof(dt_k5_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(k2_oppcat_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(k2_oppcat_1(A))))) ) => ( v1_funct_1(k5_cat_3(A,B,C)) & v1_funct_2(k5_cat_3(A,B,C),B,u4_struct_0(A)) & m1_subset_1(k5_cat_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) ) )).
fof(dt_k5_cat_4,axiom,( ! [A] : ! [B] : ( v2_cat_4(k5_cat_4(A,B)) & l1_cat_4(k5_cat_4(A,B)) ) )).
fof(dt_k5_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( ~ v2_struct_0(k5_cat_5(A,B)) & ~ v11_struct_0(k5_cat_5(A,B)) & v2_cat_1(k5_cat_5(A,B)) & v3_cat_1(k5_cat_5(A,B)) & v4_cat_1(k5_cat_5(A,B)) & v5_cat_1(k5_cat_5(A,B)) & v6_cat_1(k5_cat_5(A,B)) & l1_cat_1(k5_cat_5(A,B)) ) ) )).
fof(dt_k5_cat_7,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => m1_subset_1(k5_cat_7(A),k1_zfmisc_1(k2_zfmisc_1(k6_cat_6(A),k6_cat_6(A)))) ) )).
fof(dt_k5_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_cayldick(A,B,C),u1_struct_0(k4_cayldick(A))) ) )).
fof(dt_k5_cc0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ~ v1_xboole_0(k5_cc0sp1(A,B)) & m1_subset_1(k5_cc0sp1(A,B),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k5_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => l1_clopban2(k5_cc0sp2(A)) ) )).
fof(dt_k5_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_funct_2(k5_cfuncdom(A),A,k2_numbers,k9_funct_2(A,k2_numbers)) ) )).
fof(dt_k5_cgames_1,axiom,( m1_subset_1(k5_cgames_1,k2_cgames_1(1)) )).
fof(dt_k5_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) ) => m1_subset_1(k5_chain_1(A,B,C),k1_zfmisc_1(k4_chain_1(A,B,C))) ) )).
fof(dt_k5_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( v3_msualg_1(k5_circcmb3(A,B,C,D),k4_circcmb3(A,B,C,D)) & m2_circcmb3(k5_circcmb3(A,B,C,D),B,k4_circcmb3(A,B,C,D)) ) ) )).
fof(dt_k5_circcomb,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ v11_struct_0(k5_circcomb(A,B)) & v1_msualg_1(k5_circcomb(A,B)) & l1_msualg_1(k5_circcomb(A,B)) ) ) )).
fof(dt_k5_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) & v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => m2_pboole(k5_circtrm1(A,B,C,D),u4_struct_0(k1_circtrm1(A,B,C)),k3_relat_1(u1_msualg_1(k1_circtrm1(A,B,C)),k6_finseq_2(u1_struct_0(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))),k3_relat_1(u2_msualg_1(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))) ) )).
fof(dt_k5_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) ) => m1_subset_1(k5_circuit1(A,B,C,D),k4_ordinal1) ) )).
fof(dt_k5_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_msafree2(D,A,B) ) => m1_subset_1(k5_circuit2(A,B,C,D),k1_funct_1(u3_msualg_1(A,B),C)) ) )).
fof(dt_k5_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k5_classes2(A,B,C),A) ) )).
fof(dt_k5_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => m1_subset_1(k5_clopban1(A,B),k1_zfmisc_1(u1_struct_0(k3_clopban1(u1_struct_0(A),B)))) ) )).
fof(dt_k5_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( v1_funct_1(k5_clopban2(A)) & v1_funct_2(k5_clopban2(A),k2_zfmisc_1(k8_clopban1(A,A),k8_clopban1(A,A)),k8_clopban1(A,A)) & m1_subset_1(k5_clopban2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_clopban1(A,A),k8_clopban1(A,A)),k8_clopban1(A,A)))) ) ) )).
fof(dt_k5_clopban4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => ( v1_funct_1(k5_clopban4(A,B,C,D)) & v1_funct_2(k5_clopban4(A,B,C,D),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k5_clopban4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,B,B) ) => m3_pboole(k5_closure1(A,B,C),A,B) ) )).
fof(dt_k5_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => m3_pboole(k5_closure2(A,B,C),A,k1_mboolean(A,B)) ) )).
fof(dt_k5_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_clvect_1(C,A) ) => m1_subset_1(k5_clvect_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k5_clvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & l1_combgras(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(B))) ) => m1_subset_1(k5_combgras(A,B,C,D),k1_zfmisc_1(u1_incsp_1(A))) ) )).
fof(dt_k5_complex1,axiom,( m1_subset_1(k5_complex1,k2_numbers) )).
fof(dt_k5_complsp2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) ) => m2_finseq_2(k5_complsp2(A,B),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k5_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k5_compos_0(A,B),k4_compos_0(A)) ) )).
fof(dt_k5_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k5_compos_1(A,B,C)) & v4_relat_1(k5_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k5_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k5_compos_1(A,B,C)) & v1_finset_1(k5_compos_1(A,B,C)) ) ) )).
fof(dt_k5_comput_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k5_comput_1(A,B)) & v4_relat_1(k5_comput_1(A,B),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k5_comput_1(A,B)) & v4_valued_0(k5_comput_1(A,B)) & v2_margrel1(k5_comput_1(A,B)) ) ) )).
fof(dt_k5_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_funct_1(k5_comseq_3(A,B)) & m1_subset_1(k5_comseq_3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k5_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v3_conlat_1(k5_conlat_1(A),A) & ~ v4_conlat_1(k5_conlat_1(A),A) & v6_conlat_1(k5_conlat_1(A),A) & v7_conlat_1(k5_conlat_1(A),A) & l2_conlat_1(k5_conlat_1(A),A) ) ) )).
fof(dt_k5_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k5_conlat_2(A)) & v1_funct_2(k5_conlat_2(A),u4_struct_0(A),u1_struct_0(k11_conlat_1(A))) & m1_subset_1(k5_conlat_2(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u1_struct_0(k11_conlat_1(A))))) ) ) )).
fof(dt_k5_connsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) ) => m1_subset_1(k5_connsp_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_convex4(B,A) & m1_convex4(C,A) ) => m1_convex4(k5_convex4(A,B,C),A) ) )).
fof(dt_k5_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_numbers))) ) => m1_subset_1(k5_convfun1(A,B),k1_zfmisc_1(u1_struct_0(k3_convfun1(A,k4_convfun1)))) ) )).
fof(dt_k5_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => m2_subset_1(k5_cqc_lang(A),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k5_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m1_finseq_1(C,k2_qc_lang1(A)) & m1_subset_1(D,k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) ) => ( v5_relat_1(k5_cqc_sim1(A,B,C,D),k3_qc_lang1(A)) & v3_card_1(k5_cqc_sim1(A,B,C,D),B) & m2_finseq_1(k5_cqc_sim1(A,B,C,D),k2_qc_lang1(A)) ) ) )).
fof(dt_k5_csspace,axiom,( ~ v2_struct_0(k5_csspace) & v1_clvect_1(k5_csspace) & l1_clvect_1(k5_csspace) )).
fof(dt_k5_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k5_csspace4(A,B)) & v13_algstr_0(k5_csspace4(A,B)) & v2_rlvect_1(k5_csspace4(A,B)) & v3_rlvect_1(k5_csspace4(A,B)) & v4_rlvect_1(k5_csspace4(A,B)) & v2_clvect_1(k5_csspace4(A,B)) & v3_clvect_1(k5_csspace4(A,B)) & v4_clvect_1(k5_csspace4(A,B)) & v5_clvect_1(k5_csspace4(A,B)) & l1_clvect_1(k5_csspace4(A,B)) ) ) )).
fof(dt_k5_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => v1_xreal_0(k5_dblseq_1(A)) ) )).
fof(dt_k5_decomp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_decomp_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_finseq_2(k2_nat_1(2,B),A)) ) => m2_finseq_2(k5_descip_1(A,B,C),A,k4_finseq_2(B,A)) ) )).
fof(dt_k5_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(k5_dickson(A)) & l1_orders_2(k5_dickson(A)) ) ) )).
fof(dt_k5_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k5_diff_1(A,B)) & m1_subset_1(k5_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k5_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(k5_dilworth(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_dist_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) ) => m1_subset_1(k5_dist_1(A,B),k1_zfmisc_1(k3_finseq_2(A))) ) )).
fof(dt_k5_dist_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k4_finseq_1(B))) ) => m2_finseq_1(k5_dist_2(A,B,C),A) ) )).
fof(dt_k5_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,A) & m1_subset_1(F,B) & m1_subset_1(G,C) & m1_subset_1(H,D) ) => m1_subset_1(k5_domain_1(A,B,C,D,E,F,G,H),k4_zfmisc_1(A,B,C,D)) ) )).
fof(dt_k5_dtconstr,axiom,( ~ v2_struct_0(k5_dtconstr) & v1_lang1(k5_dtconstr) & l1_lang1(k5_dtconstr) )).
fof(dt_k5_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k5_dualsp01(A)) & v13_algstr_0(k5_dualsp01(A)) & v1_rlvect_1(k5_dualsp01(A)) & v2_rlvect_1(k5_dualsp01(A)) & v3_rlvect_1(k5_dualsp01(A)) & v4_rlvect_1(k5_dualsp01(A)) & v5_rlvect_1(k5_dualsp01(A)) & v6_rlvect_1(k5_dualsp01(A)) & v7_rlvect_1(k5_dualsp01(A)) & v8_rlvect_1(k5_dualsp01(A)) & l1_rlvect_1(k5_dualsp01(A)) ) ) )).
fof(dt_k5_dynkin,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_dynkin(k5_dynkin(A,B),A) ) )).
fof(dt_k5_e_siec,axiom,( ! [A] : ( v1_e_siec(k5_e_siec(A)) & v2_e_siec(k5_e_siec(A)) & v3_e_siec(k5_e_siec(A)) & l1_e_siec(k5_e_siec(A)) ) )).
fof(dt_k5_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => ( v1_funct_1(k5_ec_pf_1(A,B,C)) & v1_funct_2(k5_ec_pf_1(A,B,C),k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A))) & m1_subset_1(k5_ec_pf_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),u1_struct_0(k9_int_3(A))))) ) ) )).
fof(dt_k5_ec_pf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) & m1_subset_1(D,k6_ec_pf_1(A,B,C)) ) => m1_subset_1(k5_ec_pf_2(A,B,C,D),u1_struct_0(k9_int_3(A))) ) )).
fof(dt_k5_endalg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_funct_1(k5_endalg(A,B)) & v1_funct_2(k5_endalg(A,B),k2_zfmisc_1(k4_endalg(A,B),k4_endalg(A,B)),k4_endalg(A,B)) & m1_subset_1(k5_endalg(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_endalg(A,B),k4_endalg(A,B)),k4_endalg(A,B)))) ) ) )).
fof(dt_k5_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k5_ens_1(A,B),k2_ens_1(A)) ) )).
fof(dt_k5_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k5_entropy1(A)) & m2_finseq_1(k5_entropy1(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k5_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_relat_2(k5_eqrel_1(A,B,C)) & v8_relat_2(k5_eqrel_1(A,B,C)) & v1_partfun1(k5_eqrel_1(A,B,C),A) & m1_subset_1(k5_eqrel_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k5_equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_funct_1(u3_msualg_1(A,k3_equation(A)),B)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k3_equation(A)),B)) ) => m1_subset_1(k5_equation(A,B,C,D),k1_funct_1(k4_equation(A),B)) ) )).
fof(dt_k5_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_2(k5_euclid(A),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k5_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k5_euclid_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k5_euclid_5,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) & m1_subset_1(B,u1_struct_0(k15_euclid(3))) ) => m1_subset_1(k5_euclid_5(A,B),u1_struct_0(k15_euclid(3))) ) )).
fof(dt_k5_euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_finseq_1(B,k1_euclid(A)) ) => m2_finseq_2(k5_euclid_7(A,B),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k5_euclid_8,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_euclid(3)) & m1_subset_1(B,k1_euclid(3)) ) => m2_finseq_2(k5_euclid_8(A,B),k1_numbers,k1_euclid(3)) ) )).
fof(dt_k5_euclid_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) ) => m1_subset_1(k5_euclid_9(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A)))))) ) )).
fof(dt_k5_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k5_euclidlp(A),k1_zfmisc_1(k1_zfmisc_1(k1_euclid(A)))) ) )).
fof(dt_k5_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( v1_funct_1(k5_exchsort(A,B,C,D,E)) & v1_funct_2(k5_exchsort(A,B,C,D,E),A,B) & m1_subset_1(k5_exchsort(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k5_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) & v7_ordinal1(E) ) => ( v1_relat_1(k5_extpro_1(A,B,C,D,E)) & v4_relat_1(k5_extpro_1(A,B,C,D,E),u1_struct_0(B)) & v1_funct_1(k5_extpro_1(A,B,C,D,E)) & v5_funct_1(k5_extpro_1(A,B,C,D,E),k2_memstr_0(A,B)) & v1_partfun1(k5_extpro_1(A,B,C,D,E),u1_struct_0(B)) ) ) )).
fof(dt_k5_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => m1_subset_1(k5_extreal1(A,B),k6_numbers) ) )).
fof(dt_k5_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & v7_ordinal1(D) ) => m1_subset_1(k5_facirc_1(A,B,C,D),k4_card_3(u3_msualg_1(A,B))) ) )).
fof(dt_k5_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => m2_subset_1(k5_facirc_2(A,B,C),u1_struct_0(k3_facirc_2(A,B,C)),k3_msafree2(k3_facirc_2(A,B,C))) ) )).
fof(dt_k5_ff_siec,axiom,( ! [A] : ( v1_petri(k5_ff_siec(A)) & v1_net_1(k5_ff_siec(A)) & l1_petri(k5_ff_siec(A)) ) )).
fof(dt_k5_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k5_fib_num2(A),k4_ordinal1) ) )).
fof(dt_k5_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_filter_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_filter_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_filter_1(A,B,C),u1_struct_0(k4_filter_1(A,B))) ) )).
fof(dt_k5_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v1_xboole_0(k5_filter_2(A)) & v18_lattices(k5_filter_2(A),A) & v21_lattices(k5_filter_2(A),A) & m1_subset_1(k5_filter_2(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k5_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k5_finance1(A,B,C)) ) )).
fof(dt_k5_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => ( v5_relat_1(k5_finance2(A,B),k12_prob_1) & v1_funct_1(k5_finance2(A,B)) & v1_funct_2(k5_finance2(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k5_finance2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) )).
fof(dt_k5_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,A) ) => m2_finseq_2(k5_finseq_2(A,B,C),A,k4_finseq_2(B,A)) ) )).
fof(dt_k5_finseq_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k5_finseq_4(A,B)) & v1_funct_1(k5_finseq_4(A,B)) & v1_finseq_1(k5_finseq_4(A,B)) ) ) )).
fof(dt_k5_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_subset_1(C,A) & v7_ordinal1(D) ) => m2_finseq_1(k5_finseq_5(A,B,C,D),A) ) )).
fof(dt_k5_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k5_finseq_8(A,B,C),A) ) )).
fof(dt_k5_finseqop,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_funct_1(k5_finseqop(A,B)) & v1_funct_2(k5_finseqop(A,B),A,A) & m1_subset_1(k5_finseqop(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k5_finsub_1,axiom,( ! [A] : v4_finsub_1(k5_finsub_1(A)) )).
fof(dt_k5_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_fintopo2(A,B,C),k5_margrel1) ) )).
fof(dt_k5_fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => m1_subset_1(k5_fintopo3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_orders_2(k5_fintopo5(A,B)) & l1_orders_2(k5_fintopo5(A,B)) ) ) )).
fof(dt_k5_flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v7_ordinal1(C) ) => m1_subset_1(k5_flang_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k5_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0))) ) => ( v1_relat_1(k5_fomodel0(A,B,C)) & v1_funct_1(k5_fomodel0(A,B,C)) ) ) )).
fof(dt_k5_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k5_fomodel2(A,B,C)) & v1_funct_1(k5_fomodel2(A,B,C)) ) ) )).
fof(dt_k5_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_relat_1(k5_fomodel3(A,B)) & v1_funct_1(k5_fomodel3(A,B)) ) ) )).
fof(dt_k5_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v7_ordinal1(C) ) => m2_funct_2(k5_fomodel4(A,B,C),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) )).
fof(dt_k5_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k5_freealg(A,B,C)) & v1_funct_1(k5_freealg(A,B,C)) & v2_margrel1(k5_freealg(A,B,C)) & v3_margrel1(k5_freealg(A,B,C),k4_dtconstr(k3_freealg(A,B))) & m1_subset_1(k5_freealg(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))))) ) ) )).
fof(dt_k5_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k5_fscirc_1(A,B,C),k3_fscirc_1(A,B,C)) & v4_msafree2(k5_fscirc_1(A,B,C),k3_fscirc_1(A,B,C)) & v4_circcomb(k5_fscirc_1(A,B,C),k3_fscirc_1(A,B,C)) & v6_circcomb(k5_fscirc_1(A,B,C),k3_fscirc_1(A,B,C)) & l3_msualg_1(k5_fscirc_1(A,B,C),k3_fscirc_1(A,B,C)) ) )).
fof(dt_k5_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l3_fsm_1(C,A,B) & m1_subset_1(D,u1_struct_0(C)) & m1_finseq_1(E,A) ) => m2_finseq_1(k5_fsm_1(A,B,C,D,E),B) ) )).
fof(dt_k5_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l2_fsm_3(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => m1_subset_1(k5_fsm_3(A,B,C,D),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k5_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k5_ftacell1(A,B,C,D,E),k3_msafree2(k1_ftacell1(A,B,C,D,E))) )).
fof(dt_k5_funcsdom,axiom,( ! [A] : ( v1_funct_1(k5_funcsdom(A)) & v1_funct_2(k5_funcsdom(A),k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(k5_funcsdom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) )).
fof(dt_k5_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => ( v1_funct_1(k5_funct_2(A,B,C,D)) & v1_funct_2(k5_funct_2(A,B,C,D),A,C) & m1_subset_1(k5_funct_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,C))) ) ) )).
fof(dt_k5_funct_3,axiom,( ! [A] : ! [B] : ( v1_funct_1(k5_funct_3(A,B)) & v1_funct_2(k5_funct_3(A,B),B,k2_tarski(k5_ordinal1,1)) & m1_subset_1(k5_funct_3(A,B),k1_zfmisc_1(k2_zfmisc_1(B,k2_tarski(k5_ordinal1,1)))) ) )).
fof(dt_k5_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( v1_funct_1(k5_funct_4(A,B,C,D,E)) & v1_funct_2(k5_funct_4(A,B,C,D,E),k2_tarski(B,C),A) & m1_subset_1(k5_funct_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_tarski(B,C),A))) ) ) )).
fof(dt_k5_funct_5,axiom,( m1_subset_1(k5_funct_5,k1_tarski(k5_ordinal1)) )).
fof(dt_k5_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k5_funct_6(A)) & v1_funct_1(k5_funct_6(A)) ) ) )).
fof(dt_k5_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & v10_functor0(C,A,B) & l2_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k5_functor0(A,B,C,D,E)) & v1_funct_2(k5_functor0(A,B,C,D,E),k1_altcat_1(A,D,E),k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E))) & m1_subset_1(k5_functor0(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_altcat_1(A,D,E),k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E))))) ) ) )).
fof(dt_k5_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & v15_functor0(E,A,B) & m2_functor0(E,A,B) & m2_functor2(F,A,B,C,D) & m2_functor2(G,A,B,D,E) ) => m2_functor2(k5_functor2(A,B,C,D,E,F,G),A,B,C,E) ) )).
fof(dt_k5_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & v15_functor0(E,A,B) & m2_functor0(E,A,B) & m1_functor2(F,A,B,D,E) & v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => m1_functor2(k5_functor3(A,B,C,D,E,F,G),A,C,k1_functor3(A,B,C,D,G),k1_functor3(A,B,C,E,G)) ) )).
fof(dt_k5_fuznum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( v5_relat_1(k5_fuznum_1(A,B,C,D),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k5_fuznum_1(A,B,C,D)) & v1_funct_2(k5_fuznum_1(A,B,C,D),k1_numbers,k1_numbers) & m1_subset_1(k5_fuznum_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k5_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v5_relat_1(k5_fuzzy_1(A),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k5_fuzzy_1(A)) & v1_funct_2(k5_fuzzy_1(A),A,k1_numbers) & m1_subset_1(k5_fuzzy_1(A),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k5_fuzzy_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( v5_relat_1(k5_fuzzy_2(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k5_fuzzy_2(A,B)) & v1_funct_2(k5_fuzzy_2(A,B),k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(k5_fuzzy_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) ) )).
fof(dt_k5_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_fvaluat1(B,A) ) => m1_fvaluat1(k5_fvaluat1(A,B),A) ) )).
fof(dt_k5_fvsum_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) ) => m2_finseq_1(k5_fvsum_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k5_gaussint,axiom,( ~ v2_struct_0(k5_gaussint) & v1_zmodul01(k5_gaussint) & l1_zmodul01(k5_gaussint) )).
fof(dt_k5_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v3_gcd_1(A) & l4_algstr_0(A) & m2_gcd_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k5_gcd_1(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k5_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_finseq_1(B,k3_card_3(A)) & m1_finseq_1(C,k3_card_3(A)) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) ) => m2_finseq_1(k5_genealg1(A,B,C,D,E,F,G,H),k3_card_3(A)) ) )).
fof(dt_k5_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_geomtrap(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_k5_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k5_gfacirc1(A,B,C)) & ~ v11_struct_0(k5_gfacirc1(A,B,C)) & v1_msualg_1(k5_gfacirc1(A,B,C)) & v1_circcomb(k5_gfacirc1(A,B,C)) & v2_circcomb(k5_gfacirc1(A,B,C)) & v3_circcomb(k5_gfacirc1(A,B,C)) & l1_msualg_1(k5_gfacirc1(A,B,C)) ) )).
fof(dt_k5_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ~ v2_struct_0(k5_gfacirc2(A,B,C)) & ~ v11_struct_0(k5_gfacirc2(A,B,C)) & v1_msualg_1(k5_gfacirc2(A,B,C)) & v1_circcomb(k5_gfacirc2(A,B,C)) & v2_circcomb(k5_gfacirc2(A,B,C)) & v3_circcomb(k5_gfacirc2(A,B,C)) & l1_msualg_1(k5_gfacirc2(A,B,C)) ) ) )).
fof(dt_k5_glib_000,axiom,( ~ v1_xboole_0(k5_glib_000) & m1_subset_1(k5_glib_000,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k5_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & v7_ordinal1(C) ) => m1_subset_1(k5_glib_001(A,B,C),k6_glib_000(A)) ) )).
fof(dt_k5_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ~ v8_ordinal1(k5_glib_002(A)) & m1_subset_1(k5_glib_002(A),k4_ordinal1) ) ) )).
fof(dt_k5_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ( v1_relat_1(k5_glib_003(A)) & v4_relat_1(k5_glib_003(A),k7_glib_000(A)) & v1_funct_1(k5_glib_003(A)) & v1_partfun1(k5_glib_003(A),k7_glib_000(A)) ) ) )).
fof(dt_k5_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k3_rfunct_3(A,B),C)) ) => m2_rfunct_3(k5_glib_004(A,B,C,D),A,B,k3_rfunct_3(A,B)) ) )).
fof(dt_k5_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) ) => m2_glib_005(k5_glib_005(A,B,C),A,B) ) )).
fof(dt_k5_goboard5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => m1_subset_1(k5_goboard5(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k5_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => ( v1_qc_trans(k5_goedcpuc(A,B),A) & m1_qc_lang1(k5_goedcpuc(A,B)) ) ) )).
fof(dt_k5_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(A)))) & v7_ordinal1(C) ) => m2_subset_1(k5_goedelcp(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k5_gr_cy_1,axiom,( ! [A] : ( v1_int_1(A) => m1_subset_1(k5_gr_cy_1(A),u1_struct_0(k2_gr_cy_1)) ) )).
fof(dt_k5_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ~ v2_struct_0(k5_graph_1(A,B)) & v1_graph_1(k5_graph_1(A,B)) & l1_graph_1(k5_graph_1(A,B)) ) ) )).
fof(dt_k5_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k5_graph_3(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k5_graph_3a,axiom,( ~ v2_struct_0(k5_graph_3a) & l1_graph_1(k5_graph_3a) )).
fof(dt_k5_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_graph_5(A,B,C,D),k1_zfmisc_1(k3_finseq_2(u4_struct_0(A)))) ) )).
fof(dt_k5_graphsp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_funct_2(A,A)) => ( v1_funct_1(k5_graphsp(A,B)) & v1_funct_2(k5_graphsp(A,B),k4_ordinal1,k1_funct_2(A,A)) & m1_subset_1(k5_graphsp(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_funct_2(A,A)))) ) ) )).
fof(dt_k5_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m3_cat_2(k5_grcat_1(A,B),A) ) )).
fof(dt_k5_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) & m2_ideal_1(D,k12_polynom1(A,B),C) & m2_ideal_1(E,k12_polynom1(A,B),C) ) => m2_ideal_1(k5_groeb_2(A,B,C,D,E),k12_polynom1(A,B),C) ) )).
fof(dt_k5_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v7_ordinal1(E) ) => ( v1_funct_1(k5_groeb_3(A,B,C,D,E)) & v1_funct_2(k5_groeb_3(A,B,C,D,E),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k5_groeb_3(A,B,C,D,E),C) & m1_subset_1(k5_groeb_3(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) )).
fof(dt_k5_group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_int_1(C) ) => m1_subset_1(k5_group_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & v2_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k1_funct_2(A,A)) & v1_group_10(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(A,A)))) ) => ( v1_funct_1(k5_group_10(A,B,C,D)) & v1_funct_2(k5_group_10(A,B,C,D),u1_struct_0(C),k1_funct_2(k3_group_10(A,B),k3_group_10(A,B))) & v1_group_10(k5_group_10(A,B,C,D),C,k3_group_10(A,B)) & m1_subset_1(k5_group_10(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(k3_group_10(A,B),k3_group_10(A,B))))) ) ) )).
fof(dt_k5_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_group_19(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => m1_subset_1(k5_group_19(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k5_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v15_algstr_0(k5_group_4(A,B)) & m1_group_2(k5_group_4(A,B),A) ) ) )).
fof(dt_k5_group_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => m1_subset_1(k5_group_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) ) => l3_algstr_0(k5_group_6(A,B)) ) )).
fof(dt_k5_group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k5_group_7(A,B,C,D),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B)))) ) )).
fof(dt_k5_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ( v2_group_9(k5_group_9(A,B),A) & m1_group_9(k5_group_9(A,B),A,B) ) ) )).
fof(dt_k5_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k5_hahnban1(A,B,C,D)) & v1_funct_2(k5_hahnban1(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k5_hahnban1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k5_heyting1,axiom,( ! [A] : ( v1_funct_1(k5_heyting1(A)) & v1_funct_2(k5_heyting1(A),k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(k5_heyting1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) )).
fof(dt_k5_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( v1_funct_1(k5_heyting2(A,B)) & v1_funct_2(k5_heyting2(A,B),k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(k5_heyting2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))),u1_struct_0(k5_substlat(A,B))))) ) ) )).
fof(dt_k5_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => m1_subset_1(k5_heyting3(A),k1_zfmisc_1(u1_struct_0(k1_heyting3(k4_ordinal1,k6_domain_1(k4_ordinal1,A))))) ) )).
fof(dt_k5_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k5_hilbasis(A,B,C)) & v1_funct_2(k5_hilbasis(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k5_hilbasis(A,B,C),A) & m1_subset_1(k5_hilbasis(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k5_hilbert1(A),k1_zfmisc_1(k1_hilbert1)) ) )).
fof(dt_k5_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_hilbert3(B,A) & m1_subset_1(C,k1_hilbert1) ) => ( v1_funct_1(k5_hilbert3(A,B,C)) & v1_funct_2(k5_hilbert3(A,B,C),k3_hilbert3(A,C),k3_hilbert3(A,C)) & m1_subset_1(k5_hilbert3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A,C),k3_hilbert3(A,C)))) ) ) )).
fof(dt_k5_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v3_trees_2(A) ) => v1_xreal_0(k5_huffman1(A)) ) )).
fof(dt_k5_hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k5_hurwitz(A,B,C)) & v1_funct_2(k5_hurwitz(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k5_hurwitz(A,B,C),A) & m1_subset_1(k5_hurwitz(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k5_idea_1(A,B)) ) )).
fof(dt_k5_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_ideal_1(D,A,B) & m2_ideal_1(E,A,C) ) => m2_ideal_1(k5_ideal_1(A,B,C,D,E),A,k4_subset_1(u1_struct_0(A),B,C)) ) )).
fof(dt_k5_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => m1_index_1(k5_index_1(A,B,C,D),A,B) ) )).
fof(dt_k5_int_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v1_int_1(k5_int_1(A,B)) ) )).
fof(dt_k5_int_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & m1_subset_1(B,u1_struct_0(k1_int_3)) ) => m1_subset_1(k5_int_3(A,B),u1_struct_0(k1_int_3)) ) )).
fof(dt_k5_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m4_integr15(E,A,B,C,D) & m1_subset_1(F,k4_ordinal1) ) => m3_integr15(k5_integr15(A,B,C,D,E,F),A,B,C,k2_integra2(B,D,F)) ) )).
fof(dt_k5_integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr16(D,A,B,C) ) => ( v1_funct_1(k5_integr16(A,B,C,D)) & v1_funct_2(k5_integr16(A,B,C,D),k4_ordinal1,k2_numbers) & m1_subset_1(k5_integr16(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k5_integr18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => m1_subset_1(k5_integr18(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => m2_finseq_1(k5_integra1(A,B,C),k1_numbers) ) )).
fof(dt_k5_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) ) => m1_subset_1(k5_interva1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k5_intpro_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_intpro_1) & m1_subset_1(B,k1_intpro_1) ) => m1_subset_1(k5_intpro_1(A,B),k1_intpro_1) ) )).
fof(dt_k5_irrat_1,axiom,( v1_funct_1(k5_irrat_1) & v1_funct_2(k5_irrat_1,k4_ordinal1,k1_numbers) & m1_subset_1(k5_irrat_1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(dt_k5_isocat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,B,C) & m2_cat_1(E,B,C) & m2_cat_1(F,A,B) & m2_nattra_1(G,B,C,D,E) ) => m2_nattra_1(k5_isocat_1(A,B,C,D,E,F,G),A,C,k9_cat_1(A,B,C,F,D),k9_cat_1(A,B,C,F,E)) ) )).
fof(dt_k5_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) ) => m2_cat_1(k5_isocat_2(A,B,C,D),A,k9_nattra_1(B,C)) ) )).
fof(dt_k5_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k5_jgraph_4(A)) & v1_funct_2(k5_jgraph_4(A),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k5_jgraph_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) ) )).
fof(dt_k5_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => m1_subset_1(k5_jgraph_6(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k5_jordan,axiom,( v1_funct_1(k5_jordan) & v1_funct_2(k5_jordan,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(k5_jordan,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) )).
fof(dt_k5_jordan1k,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v1_xreal_0(k5_jordan1k(A,B,C)) ) )).
fof(dt_k5_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k5_jordan5d(A)) ) )).
fof(dt_k5_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k5_jordan6(A,B,C,D,E),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k5_jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(B,A) ) => v1_xreal_0(k5_jordan_a(A,B)) ) )).
fof(dt_k5_knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => m1_subset_1(k5_knaster(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k5_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) ) => m1_subset_1(k5_kolmog01(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B)))) ) )).
fof(dt_k5_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_kurato_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k5_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => m1_subset_1(k5_lang1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )).
fof(dt_k5_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),C,C) & m1_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => m1_subset_1(k5_laplace(A,B,C,D,E),u1_struct_0(D)) ) )).
fof(dt_k5_lattad_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_lattad_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(k3_lattice3(A))) ) => m1_subset_1(k5_lattice3(A,B),u1_struct_0(A)) ) )).
fof(dt_k5_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(k5_lattice4(A)) & v1_funct_2(k5_lattice4(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k5_lattice4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k5_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => m1_subset_1(k5_lattice6(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => m1_subset_1(k5_lattices(A),u1_struct_0(A)) ) )).
fof(dt_k5_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_lexbfs(B,A) & v7_ordinal1(C) ) => ( v1_funct_1(k5_lexbfs(A,B,C)) & m1_subset_1(k5_lexbfs(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A),k4_ordinal1))) ) ) )).
fof(dt_k5_lfuzzy_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) ) => ( v5_relat_1(k5_lfuzzy_0(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k5_lfuzzy_0(A,B)) & v1_funct_2(k5_lfuzzy_0(A,B),A,k1_numbers) & m1_subset_1(k5_lfuzzy_0(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k5_lfuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v5_relat_1(k5_lfuzzy_1(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k5_lfuzzy_1(A,B)) & v1_funct_2(k5_lfuzzy_1(A,B),k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(k5_lfuzzy_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) ) )).
fof(dt_k5_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_xreal_0(k5_limfunc1(A)) ) )).
fof(dt_k5_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_lopban_1(A,B)) & v13_algstr_0(k5_lopban_1(A,B)) & v2_rlvect_1(k5_lopban_1(A,B)) & v3_rlvect_1(k5_lopban_1(A,B)) & v4_rlvect_1(k5_lopban_1(A,B)) & v5_rlvect_1(k5_lopban_1(A,B)) & v6_rlvect_1(k5_lopban_1(A,B)) & v7_rlvect_1(k5_lopban_1(A,B)) & v8_rlvect_1(k5_lopban_1(A,B)) & l1_rlvect_1(k5_lopban_1(A,B)) ) ) )).
fof(dt_k5_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k5_lopban_2(A)) & v1_funct_2(k5_lopban_2(A),k2_zfmisc_1(k10_lopban_1(A,A),k10_lopban_1(A,A)),k10_lopban_1(A,A)) & m1_subset_1(k5_lopban_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k10_lopban_1(A,A),k10_lopban_1(A,A)),k10_lopban_1(A,A)))) ) ) )).
fof(dt_k5_lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k5_lopban_3(A,B)) & v1_funct_2(k5_lopban_3(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k5_lopban_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_lopban_2(B) & l1_lopban_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k5_lopban_4(A,B,C,D)) & v1_funct_2(k5_lopban_4(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & m1_subset_1(k5_lopban_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k5_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v2_struct_0(k5_lopban_7(A,B,C)) & l1_normsp_1(k5_lopban_7(A,B,C)) ) ) )).
fof(dt_k5_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k5_lopclset(A)) & v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m1_subset_1(k5_lopclset(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))) ) ) )).
fof(dt_k5_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & v1_xcmplx_0(D) ) => m2_rfunct_3(k5_lpspacc1(A,B,C,D),A,k2_numbers,k3_rfunct_3(A,k2_numbers)) ) )).
fof(dt_k5_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_rfunct_3(k5_lpspace1(A),A,k1_numbers,k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k5_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v2_xxreal_0(E) & v1_xreal_0(E) ) => m1_subset_1(k5_lpspace2(A,B,C,D,E),k1_zfmisc_1(k1_lpspace2(A,B,C,E))) ) )).
fof(dt_k5_ltlaxio1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m1_subset_1(k5_ltlaxio1(A,B),k1_hilbert1) ) )).
fof(dt_k5_ltlaxio2,axiom,( ! [A] : ( m1_finseq_1(A,k1_hilbert1) => m2_finseq_1(k5_ltlaxio2(A),k1_hilbert1) ) )).
fof(dt_k5_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k5_ltlaxio3(A),k1_zfmisc_1(k1_hilbert1)) ) )).
fof(dt_k5_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( v1_finset_1(k5_ltlaxio4(A)) & m1_subset_1(k5_ltlaxio4(A),k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) ) )).
fof(dt_k5_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_mathmorp(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_matrix10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k5_matrix10(A,B,C)) & v2_matrix_0(k5_matrix10(A,B,C),k1_numbers,A,A) & m2_finseq_1(k5_matrix10(A,B,C),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k5_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_funct_1(k5_matrix11(A)) & v1_funct_2(k5_matrix11(A),k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),k3_finseq_2(u1_struct_0(A))),k3_finseq_2(u1_struct_0(A))) & m1_subset_1(k5_matrix11(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),k3_finseq_2(u1_struct_0(A))),k3_finseq_2(u1_struct_0(A))))) ) ) )).
fof(dt_k5_matrix12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(C)) ) => ( v1_matrix_0(k5_matrix12(A,B,C,D,E,F)) & v2_matrix_0(k5_matrix12(A,B,C,D,E,F),u1_struct_0(C),A,B) & m2_finseq_1(k5_matrix12(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k5_matrix13,axiom,( ! [A] : ( ( v1_finset_1(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => m2_finseq_2(k5_matrix13(A),k4_ordinal1,k4_finseq_2(k4_card_1(A),k4_ordinal1)) ) )).
fof(dt_k5_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => m2_finseq_1(k5_matrix_0(A,B,C),A) ) )).
fof(dt_k5_matrix_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( v1_matrix_0(k5_matrix_1(A,B,C,D)) & v2_matrix_0(k5_matrix_1(A,B,C,D),u1_struct_0(A),B,B) & m2_finseq_1(k5_matrix_1(A,B,C,D),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k5_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),A,B) & m1_finseq_1(E,k3_finseq_2(u1_struct_0(D))) & v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(D),k1_matrix_0(E),C) & m1_finseq_1(F,k3_finseq_2(u1_struct_0(D))) ) => ( v1_matrix_0(k5_matrix_3(A,B,C,D,E,F)) & v2_matrix_0(k5_matrix_3(A,B,C,D,E,F),u1_struct_0(D),k3_finseq_1(E),k1_matrix_0(F)) & m2_finseq_1(k5_matrix_3(A,B,C,D,E,F),k3_finseq_2(u1_struct_0(D))) ) ) )).
fof(dt_k5_matrix_5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k5_matrix_5(A,B)) & m2_finseq_1(k5_matrix_5(A,B),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k5_matrixc1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => m2_finseq_1(k5_matrixc1(A,B),k2_numbers) ) )).
fof(dt_k5_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => ( v1_matrixj1(k5_matrixj1(A,B,C),A) & m2_finseq_1(k5_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k5_matrixr1,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k5_matrixr1(A,B)) & m2_finseq_1(k5_matrixr1(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k5_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_matrix_0(k5_matrixr2(A)) & v2_matrix_0(k5_matrixr2(A),k1_numbers,A,A) & m2_finseq_1(k5_matrixr2(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k5_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_finseq_1(C,u1_struct_0(A)) & m1_finseq_1(D,u1_struct_0(B)) ) => m2_finseq_1(k5_matrlin(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k5_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v1_matrix_0(E) & m1_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ( v1_matrix_0(k5_matrlin2(A,B,C,D,E)) & v2_matrix_0(k5_matrlin2(A,B,C,D,E),u1_struct_0(C),A,B) & m2_finseq_1(k5_matrlin2(A,B,C,D,E),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k5_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => v1_xreal_0(k5_matrprob(A)) ) )).
fof(dt_k5_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => m1_subset_1(k5_mcart_1(A,B,C,D,E),B) ) )).
fof(dt_k5_measure6,axiom,( ! [A] : ( v3_membered(A) => m1_subset_1(k5_measure6(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k5_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m1_subset_1(D,k1_zfmisc_1(A)) ) => m1_subset_1(k5_measure8(A,B,C,D),k1_zfmisc_1(k6_numbers)) ) )).
fof(dt_k5_member_1,axiom,( ! [A] : ( v1_membered(A) => v1_membered(k5_member_1(A)) ) )).
fof(dt_k5_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => m1_subset_1(k5_memstr_0(A,B,C),k4_ordinal1) ) )).
fof(dt_k5_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k5_mesfun7c(A,B)) & v1_funct_2(k5_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(k5_mesfun7c(A,B),A,k6_numbers) & m1_subset_1(k5_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) ) )).
fof(dt_k5_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) ) => ( v1_funct_1(k5_mesfunc1(A,B,C)) & m1_subset_1(k5_mesfunc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k5_mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => m1_subset_1(k5_mesfunc5(A,B,C,D),k6_numbers) ) )).
fof(dt_k5_mesfunc7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k5_mesfunc7(A,B,C)) & m1_subset_1(k5_mesfunc7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) ) )).
fof(dt_k5_mesfunc8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k5_mesfunc8(A,B)) & m1_subset_1(k5_mesfunc8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k5_mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_subset_1(E,A) ) => ( v1_funct_1(k5_mesfunc9(A,B,C,D,E)) & v1_funct_2(k5_mesfunc9(A,B,C,D,E),B,C) & m1_subset_1(k5_mesfunc9(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) )).
fof(dt_k5_metric_1,axiom,( ! [A] : ( v1_metric_1(k5_metric_1(A)) & l1_metric_1(k5_metric_1(A)) ) )).
fof(dt_k5_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => m1_subset_1(k5_metric_2(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(dt_k5_mfold_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_pre_topc(C,k15_euclid(A)) ) => ( v1_funct_1(k5_mfold_2(A,B,C)) & v1_funct_2(k5_mfold_2(A,B,C),u1_struct_0(C),u1_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))))) & m1_subset_1(k5_mfold_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))))))) ) ) )).
fof(dt_k5_midsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => m1_midsp_1(k5_midsp_1(A,B),A) ) )).
fof(dt_k5_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( v1_funct_1(k5_midsp_2(A)) & v1_funct_2(k5_midsp_2(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k15_midsp_1(A))) & m1_subset_1(k5_midsp_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k15_midsp_1(A))))) ) ) )).
fof(dt_k5_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k4_finseq_2(k1_nat_1(A,1),B)) & m1_midsp_3(D,A) ) => m1_subset_1(k5_midsp_3(A,B,C,D),B) ) )).
fof(dt_k5_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => ( v7_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) & l1_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) ) ) )).
fof(dt_k5_modal_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_subset_1(B,A) ) => v7_ordinal1(k5_modal_1(A,B)) ) )).
fof(dt_k5_modcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) & m1_subset_1(C,k4_modcat_1(A,B)) ) => m2_modcat_1(k5_modcat_1(A,B,C),A,B) ) )).
fof(dt_k5_modelc_2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k5_modelc_2(A,B),k4_ordinal1) ) )).
fof(dt_k5_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & l1_modelc_3(B,A) & v1_modelc_2(C) & m1_finseq_1(C,k4_ordinal1) ) => ( v1_modelc_3(k5_modelc_3(A,B,C),A) & l1_modelc_3(k5_modelc_3(A,B,C),A) ) ) )).
fof(dt_k5_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k5_moebius1(A)) & v4_relat_1(k5_moebius1(A),k8_newton) & v1_funct_1(k5_moebius1(A)) & v1_partfun1(k5_moebius1(A),k8_newton) ) ) )).
fof(dt_k5_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => m1_subset_1(k5_moebius2(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k5_monoid_0,axiom,( ~ v2_struct_0(k5_monoid_0) & v22_algstr_0(k5_monoid_0) & v4_vectsp_1(k5_monoid_0) & m1_monoid_0(k5_monoid_0,k4_monoid_0) )).
fof(dt_k5_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => m2_funct_2(k5_monoid_1(A,B,C),B,A,k9_funct_2(B,A)) ) )).
fof(dt_k5_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => l1_lang1(k5_msafree(A,B)) ) )).
fof(dt_k5_msafree2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v3_msualg_1(k5_msafree2(A,B),A) & v4_msualg_1(k5_msafree2(A,B),A) & v2_msafree(k5_msafree2(A,B),A) & l3_msualg_1(k5_msafree2(A,B),A) ) ) )).
fof(dt_k5_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => m3_pboole(k5_msafree3(A,B,C),u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B))) ) )).
fof(dt_k5_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => m3_pboole(k5_msafree4(A,B),u1_struct_0(A),k4_equation(A)) ) )).
fof(dt_k5_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => m1_msafree5(k5_msafree5(A,B,C),A,k1_msafree3(A,B),C) ) )).
fof(dt_k5_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_funct_1(C,D)) ) => m1_dtconstr(k5_msaterm(A,B,C,D,E),u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) ) )).
fof(dt_k5_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_mssubfam(k5_mssubfam(A,B),A,B) & v2_mssubfam(k5_mssubfam(A,B),A,B) & v3_mssubfam(k5_mssubfam(A,B),A,B) & v4_mssubfam(k5_mssubfam(A,B),A,B) & v5_mssubfam(k5_mssubfam(A,B),A,B) & v6_mssubfam(k5_mssubfam(A,B),A,B) & m3_pboole(k5_mssubfam(A,B),A,k1_mboolean(A,B)) ) ) )).
fof(dt_k5_msualg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & l3_msualg_1(C,A) ) => ( v1_funct_1(k5_msualg_1(A,B,C)) & v1_funct_2(k5_msualg_1(A,B,C),k3_msualg_1(A,B,C),k4_msualg_1(A,B,C)) & m1_subset_1(k5_msualg_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k3_msualg_1(A,B,C),k4_msualg_1(A,B,C)))) ) ) )).
fof(dt_k5_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & l3_msualg_1(C,A) & m1_subset_1(D,u4_struct_0(A)) & m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m1_subset_1(F,k3_msualg_1(A,D,B)) ) => m1_subset_1(k5_msualg_3(A,B,C,D,E,F),k3_msualg_1(A,D,C)) ) )).
fof(dt_k5_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u4_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u4_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u4_struct_0(A)) & m2_pboole(D,u4_struct_0(A),B,C) & m1_subset_1(E,u4_struct_0(A)) ) => ( v1_funct_1(k5_msualg_4(A,B,C,D,E)) & v1_funct_2(k5_msualg_4(A,B,C,D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & m1_subset_1(k5_msualg_4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) ) )).
fof(dt_k5_msualg_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ~ v2_struct_0(k5_msualg_5(A,B)) & v3_lattices(k5_msualg_5(A,B)) & v10_lattices(k5_msualg_5(A,B)) & l3_lattices(k5_msualg_5(A,B)) ) ) )).
fof(dt_k5_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => m1_mycielsk(k5_mycielsk(A),A) ) )).
fof(dt_k5_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k5_nagata_1(A,B,C)) & v1_funct_2(k5_nagata_1(A,B,C),A,k1_numbers) & m1_subset_1(k5_nagata_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k5_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => m1_subset_1(k5_nat_1(A,B),k4_ordinal1) ) )).
fof(dt_k5_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) ) => ( v1_relat_1(k5_nat_3(A,B,C)) & v4_relat_1(k5_nat_3(A,B,C),A) & v1_funct_1(k5_nat_3(A,B,C)) & v1_partfun1(k5_nat_3(A,B,C),A) ) ) )).
fof(dt_k5_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k5_nat_5(A),k4_ordinal1) ) )).
fof(dt_k5_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k5_nat_d(A,B),k4_ordinal1) ) )).
fof(dt_k5_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_nattra_1(F,A,B,C,D) & m2_nattra_1(G,A,B,D,E) ) => m2_nattra_1(k5_nattra_1(A,B,C,D,E,F,G),A,B,C,E) ) )).
fof(dt_k5_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ~ v2_struct_0(k5_nbvectsp(A)) & v13_algstr_0(k5_nbvectsp(A)) & v2_rlvect_1(k5_nbvectsp(A)) & v3_rlvect_1(k5_nbvectsp(A)) & v4_rlvect_1(k5_nbvectsp(A)) & v8_vectsp_1(k5_nbvectsp(A),k2_bspace) & v9_vectsp_1(k5_nbvectsp(A),k2_bspace) & v10_vectsp_1(k5_nbvectsp(A),k2_bspace) & v11_vectsp_1(k5_nbvectsp(A),k2_bspace) & l1_vectsp_1(k5_nbvectsp(A),k2_bspace) ) ) )).
fof(dt_k5_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(k14_prvect_2(A))) ) => m1_subset_1(k5_ndiff_5(A,B,C,D,E),u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B))) ) )).
fof(dt_k5_ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_relat_1(k5_ndiff_6(A,B,C,D)) & v1_funct_1(k5_ndiff_6(A,B,C,D)) ) ) )).
fof(dt_k5_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) ) => m1_subset_1(k5_ndiff_7(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_newton,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v7_ordinal1(C) ) => m2_finseq_1(k5_newton(A,B,C),k1_numbers) ) )).
fof(dt_k5_normform,axiom,( ! [A] : ( v1_funct_1(k5_normform(A)) & v1_funct_2(k5_normform(A),k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(k5_normform(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) )).
fof(dt_k5_normsp_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k5_normsp_0(A,B)) & v1_funct_2(k5_normsp_0(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k5_normsp_0(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k5_normsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k5_normsp_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k5_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_rlsub_1(k5_normsp_3(A,B,C),A) ) )).
fof(dt_k5_numbers,axiom,( m1_subset_1(k5_numbers,k4_ordinal1) )).
fof(dt_k5_numpoly1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m2_finseq_1(k5_numpoly1(A,B),k1_numbers) ) )).
fof(dt_k5_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k5_openlatt(A)) & v1_funct_2(k5_openlatt(A),k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)) & m1_subset_1(k5_openlatt(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_openlatt(A),k1_openlatt(A)),k1_openlatt(A)))) ) ) )).
fof(dt_k5_oppcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k5_oppcat_1(A,B),u4_struct_0(k2_oppcat_1(A))) ) )).
fof(dt_k5_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k5_ordeq_01(A,B)) & v1_normsp_1(k5_ordeq_01(A,B)) & l1_normsp_1(k5_ordeq_01(A,B)) ) ) )).
fof(dt_k5_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => v3_ordinal1(k5_ordinal2(A)) ) )).
fof(dt_k5_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k5_ordinal3(A,B)) ) )).
fof(dt_k5_ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ( v1_funct_1(k5_ordinal4(A,B,C)) & v1_funct_2(k5_ordinal4(A,B,C),k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(k5_ordinal4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) )).
fof(dt_k5_ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k5_ordinal5(A,B)) ) )).
fof(dt_k5_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(k5_osafree(A,B)) & v4_relat_1(k5_osafree(A,B),u1_struct_0(A)) & v1_funct_1(k5_osafree(A,B)) & v1_partfun1(k5_osafree(A,B),u1_struct_0(A)) & v11_osalg_1(k5_osafree(A,B),A) ) ) )).
fof(dt_k5_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) & m1_subset_1(D,k2_osalg_4(A)) ) => ( v1_partfun1(k5_osalg_4(A,B,C,D),k4_osalg_4(A,u3_msualg_1(A,B),D)) & v3_relat_2(k5_osalg_4(A,B,C,D)) & v8_relat_2(k5_osalg_4(A,B,C,D)) & m1_subset_1(k5_osalg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_osalg_4(A,u3_msualg_1(A,B),D),k4_osalg_4(A,u3_msualg_1(A,B),D)))) ) ) )).
fof(dt_k5_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k5_pboole(A,B,C)) & v4_relat_1(k5_pboole(A,B,C),A) & v1_funct_1(k5_pboole(A,B,C)) & v1_partfun1(k5_pboole(A,B,C),A) ) ) )).
fof(dt_k5_pcs_0,axiom,( l1_pcs_0(k5_pcs_0) )).
fof(dt_k5_pdiff_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_finseq_1(B,k1_numbers) ) => ( v1_relat_1(k5_pdiff_1(A,B)) & v1_funct_1(k5_pdiff_1(A,B)) ) ) )).
fof(dt_k5_pdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) & m1_subset_1(B,k1_euclid(2)) ) => v1_xreal_0(k5_pdiff_3(A,B)) ) )).
fof(dt_k5_pdiff_4,axiom,( ! [A] : ( m1_subset_1(A,k1_euclid(3)) => m2_finseq_2(k5_pdiff_4(A),k1_numbers,k1_euclid(3)) ) )).
fof(dt_k5_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k5_pdiff_5(A,B)) ) )).
fof(dt_k5_pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( v1_funct_1(k5_pdiff_9(A,B,C,D)) & m1_subset_1(k5_pdiff_9(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) ) )).
fof(dt_k5_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ( ~ v2_struct_0(k5_pencil_1(A,B)) & l1_pre_topc(k5_pencil_1(A,B)) ) ) )).
fof(dt_k5_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & v7_ordinal1(C) ) => ( v1_pre_topc(k5_pencil_4(A,B,C)) & l1_pre_topc(k5_pencil_4(A,B,C)) ) ) )).
fof(dt_k5_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u2_petri(A)) ) => m1_subset_1(k5_petri(A,B),u1_struct_0(A)) ) )).
fof(dt_k5_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & m1_petri_2(C,A,B) ) => ( v1_finset_1(k5_petri_2(A,B,C)) & m1_subset_1(k5_petri_2(A,B,C),k1_zfmisc_1(B)) ) ) )).
fof(dt_k5_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k5_petri_3(A,B,C)) & v1_funct_2(k5_petri_3(A,B,C),u1_petri_2(A),k4_ordinal1) & m1_subset_1(k5_petri_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) ) )).
fof(dt_k5_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_petri(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k4_petri_df(A)) ) => m1_subset_1(k5_petri_df(A,B,C),k4_ordinal1) ) )).
fof(dt_k5_pnproc_1,axiom,( ! [A] : ! [B] : ( m1_pnproc_1(B,A) => ( v1_funct_1(k5_pnproc_1(A,B)) & v1_funct_2(k5_pnproc_1(A,B),A,k4_ordinal1) & m1_subset_1(k5_pnproc_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) )).
fof(dt_k5_polyeq_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => v1_xcmplx_0(k5_polyeq_5(A,B,C,D)) ) )).
fof(dt_k5_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => v1_finset_1(k5_polyform(A,B)) ) )).
fof(dt_k5_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k5_polynom1(A,B,C,D)) & v1_funct_2(k5_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k5_polynom1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k5_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_partfun1(k5_polynom3(A),k4_finseq_2(A,k4_ordinal1)) & v1_relat_2(k5_polynom3(A)) & v4_relat_2(k5_polynom3(A)) & v8_relat_2(k5_polynom3(A)) & m1_subset_1(k5_polynom3(A),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,k4_ordinal1),k4_finseq_2(A,k4_ordinal1)))) ) ) )).
fof(dt_k5_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k5_polynom5(A,B,C)) & v1_funct_2(k5_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k5_polynom5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l5_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k5_polynom7(A,B,C,D)) & v1_funct_2(k5_polynom7(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k5_polynom7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k5_polynom8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k5_polynom8(A,B,C,D)) & v1_funct_2(k5_polynom8(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & v1_polynom1(k5_polynom8(A,B,C,D),B) & m1_subset_1(k5_polynom8(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k5_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => m1_subset_1(k5_poset_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_poset_1(A,B),k4_poset_1(A,B)))) ) )).
fof(dt_k5_pralg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( ~ v2_struct_0(k5_pralg_1(A,B)) & v1_unialg_1(k5_pralg_1(A,B)) & v2_unialg_1(k5_pralg_1(A,B)) & v3_unialg_1(k5_pralg_1(A,B)) & v4_unialg_1(k5_pralg_1(A,B)) & l1_unialg_1(k5_pralg_1(A,B)) ) ) )).
fof(dt_k5_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) & m1_subset_1(D,A) ) => ( v4_msualg_1(k5_pralg_2(A,B,C,D),B) & l3_msualg_1(k5_pralg_2(A,B,C,D),B) ) ) )).
fof(dt_k5_pre_poly,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k3_finseq_2(A)) => m2_finseq_2(k5_pre_poly(A,B),A,k3_finseq_2(A)) ) )).
fof(dt_k5_prefer_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( v3_prefer_1(k5_prefer_1(A,B,C)) & l3_prefer_1(k5_prefer_1(A,B,C)) ) ) )).
fof(dt_k5_prepower,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k5_prepower(A,B)) & v1_funct_2(k5_prepower(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k5_prepower(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k5_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => m1_prob_1(k5_prob_1(A,B,C,D),A,B) ) )).
fof(dt_k5_prob_3,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k9_setfam_1(A)) => m1_subset_1(k5_prob_3(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k5_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & m1_subset_1(D,k4_prob_4(A,B,C)) ) => m2_subset_1(k5_prob_4(A,B,C,D),k1_zfmisc_1(A),k2_measure3(A,B,k2_prob_4(A,B,C))) ) )).
fof(dt_k5_prvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_funct_1(k5_prvect_1(A,B)) & v1_funct_2(k5_prvect_1(A,B),k2_zfmisc_1(u1_struct_0(A),k4_finseq_2(B,u1_struct_0(A))),k4_finseq_2(B,u1_struct_0(A))) & m1_subset_1(k5_prvect_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_finseq_2(B,u1_struct_0(A))),k4_finseq_2(B,u1_struct_0(A))))) ) ) )).
fof(dt_k5_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) & m1_subset_1(B,k4_finseq_1(k4_prvect_2(A))) ) => ( ~ v2_struct_0(k5_prvect_2(A,B)) & v13_algstr_0(k5_prvect_2(A,B)) & v2_rlvect_1(k5_prvect_2(A,B)) & v3_rlvect_1(k5_prvect_2(A,B)) & v4_rlvect_1(k5_prvect_2(A,B)) & v5_rlvect_1(k5_prvect_2(A,B)) & v6_rlvect_1(k5_prvect_2(A,B)) & v7_rlvect_1(k5_prvect_2(A,B)) & v8_rlvect_1(k5_prvect_2(A,B)) & l1_rlvect_1(k5_prvect_2(A,B)) ) ) )).
fof(dt_k5_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & l1_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(dt_k5_pscomp_1,axiom,( v1_funct_1(k5_pscomp_1) & v1_funct_2(k5_pscomp_1,u1_struct_0(k15_euclid(2)),k1_numbers) & m1_subset_1(k5_pscomp_1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),k1_numbers))) )).
fof(dt_k5_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k5_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1(A))) ) )).
fof(dt_k5_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m1_subset_1(k5_qc_lang2(A,B,C),k9_qc_lang1(A)) ) )).
fof(dt_k5_qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k5_qc_lang3(A,B),k1_zfmisc_1(k5_qc_lang1(A))) ) )).
fof(dt_k5_quantal1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k5_quantal1(A,B),u1_struct_0(A)) ) )).
fof(dt_k5_quatern2,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => m1_subset_1(k5_quatern2(A,B),k1_quaterni) ) )).
fof(dt_k5_quaterni,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_subset_1(k5_quaterni(A,B,C,D),k1_quaterni) ) )).
fof(dt_k5_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v2_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => m2_subset_1(k5_quofield(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) ) )).
fof(dt_k5_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m1_finseq_1(D,k3_radix_1(B)) ) => m1_subset_1(k5_radix_1(A,B,C,D),k4_numbers) ) )).
fof(dt_k5_radix_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v3_card_1(k5_radix_2(A,B,C),B) & m2_finseq_1(k5_radix_2(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k5_radix_3,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v7_ordinal1(B) ) => v1_int_1(k5_radix_3(A,B)) ) )).
fof(dt_k5_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m2_subset_1(k5_radix_5(A,B,C),k4_numbers,k3_radix_1(C)) ) )).
fof(dt_k5_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,k2_xcmplx_0(B,2)) & m1_finseq_1(D,k3_radix_1(C)) ) => m1_subset_1(k5_radix_6(A,B,C,D),k3_radix_1(C)) ) )).
fof(dt_k5_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & v1_xreal_0(D) ) => m1_random_1(k5_random_1(A,B,C,D),A,B) ) )).
fof(dt_k5_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v1_relat_1(k5_random_3(A)) & v4_relat_1(k5_random_3(A),k4_ordinal1) & v1_funct_1(k5_random_3(A)) & v1_partfun1(k5_random_3(A),k4_ordinal1) ) ) )).
fof(dt_k5_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k5_ranknull(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) & m1_ratfunc1(B,A) ) => ( v1_funct_1(k5_ratfunc1(A,B)) & v1_funct_2(k5_ratfunc1(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k5_ratfunc1(A,B),A) & ~ v1_ratfunc1(k5_ratfunc1(A,B),A) & m1_subset_1(k5_ratfunc1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k5_real_1(A,B),k1_numbers) ) )).
fof(dt_k5_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k5_real_3(A)) & v1_funct_2(k5_real_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k5_real_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k5_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k5_real_lat(A)) & v1_funct_2(k5_real_lat(A),k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(k5_real_lat(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) ) )).
fof(dt_k5_real_ns1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_euclid(A)))) & v7_ordinal1(C) ) => m2_finseq_2(k5_real_ns1(A,B,C),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k5_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k5_realset2(A)) & v1_funct_2(k5_realset2(A),k8_struct_0(A),k8_struct_0(A)) & m1_subset_1(k5_realset2(A),k1_zfmisc_1(k2_zfmisc_1(k8_struct_0(A),k8_struct_0(A)))) ) ) )).
fof(dt_k5_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => v1_relat_1(k5_relat_1(A,B)) ) )).
fof(dt_k5_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k5_relset_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )).
fof(dt_k5_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k8_afinsq_1(A)) & m1_finseq_1(C,k8_afinsq_1(A)) ) => m2_finseq_1(k5_rewrite2(A,B,C),k8_afinsq_1(A)) ) )).
fof(dt_k5_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => ( v8_valued_0(k5_rfinseq2(A)) & m2_finseq_1(k5_rfinseq2(A),k1_numbers) ) ) )).
fof(dt_k5_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => m2_rfunct_3(k5_rfunct_3(A,B,C,D),A,k1_numbers,k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k5_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k5_rinfsup1(A)) ) )).
fof(dt_k5_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => m1_subset_1(k5_rinfsup2(A),k6_numbers) ) )).
fof(dt_k5_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v36_algstr_0(k5_ring_2(A,B,C)) & m1_c0sp1(k5_ring_2(A,B,C),B) ) ) )).
fof(dt_k5_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( v2_ringcat1(k5_ringcat1(A)) & m1_ringcat1(k5_ringcat1(A),A,A) ) ) )).
fof(dt_k5_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_rlvect_2(k5_rlaffin1(A,B,C),A,B) ) )).
fof(dt_k5_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k5_rlsub_2(A)) & v1_funct_2(k5_rlsub_2(A),k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)) & m1_subset_1(k5_rlsub_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)))) ) ) )).
fof(dt_k5_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_rltopsp1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => m2_finseq_1(k5_rlvect_2(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_rmod_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ( v1_funct_1(k5_rmod_3(A,B)) & v1_funct_2(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m1_subset_1(k5_rmod_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)))) ) ) )).
fof(dt_k5_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) ) => m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k5_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_robbins1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_robbins3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_roughs_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( v1_funct_1(k5_roughs_2(A,B)) & v1_funct_2(k5_roughs_2(A,B),k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(k5_roughs_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) ) )).
fof(dt_k5_rsspace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k5_rsspace(A,B)) & v1_funct_2(k5_rsspace(A,B),k2_zfmisc_1(B,B),B) & m1_subset_1(k5_rsspace(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) ) )).
fof(dt_k5_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k5_rsspace4(A,B)) & v13_algstr_0(k5_rsspace4(A,B)) & v2_rlvect_1(k5_rsspace4(A,B)) & v3_rlvect_1(k5_rsspace4(A,B)) & v4_rlvect_1(k5_rsspace4(A,B)) & v5_rlvect_1(k5_rsspace4(A,B)) & v6_rlvect_1(k5_rsspace4(A,B)) & v7_rlvect_1(k5_rsspace4(A,B)) & v8_rlvect_1(k5_rsspace4(A,B)) & l1_rlvect_1(k5_rsspace4(A,B)) ) ) )).
fof(dt_k5_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v1_funct_1(k5_rusub_2(A)) & v1_funct_2(k5_rusub_2(A),k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)) & m1_subset_1(k5_rusub_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)))) ) ) )).
fof(dt_k5_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_rusub_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => l1_pre_topc(k5_rusub_5(A)) ) )).
fof(dt_k5_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => m2_finseq_2(k5_rvsum_1(A,B,C),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k5_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => m2_finseq_1(k5_rvsum_2(A),k2_numbers) ) )).
fof(dt_k5_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m1_subset_1(k5_rvsum_3(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k5_scm_comp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_dtconstr(k1_scm_comp)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) ) => m1_dtconstr(k5_scm_comp(A,B),u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) ) )).
fof(dt_k5_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => m1_subset_1(k5_scm_inst(A),k2_scm_inst) ) )).
fof(dt_k5_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k5_scmfsa6a(A,B)) & v4_relat_1(k5_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k5_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k5_scmfsa6a(A,B)) & v1_funct_1(k5_scmfsa6a(A,B)) & v1_finset_1(k5_scmfsa6a(A,B)) & v1_afinsq_1(k5_scmfsa6a(A,B)) ) ) )).
fof(dt_k5_scmfsa_1,axiom,( v1_relat_1(k5_scmfsa_1) & v4_relat_1(k5_scmfsa_1,k5_card_1(3)) & v1_funct_1(k5_scmfsa_1) & v1_partfun1(k5_scmfsa_1,k5_card_1(3)) )).
fof(dt_k5_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => m1_scmfsa_2(k5_scmfsa_2(A)) ) )).
fof(dt_k5_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => m1_subset_1(k5_scmfsa_i(A),k1_scmfsa_i) ) )).
fof(dt_k5_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k5_scmfsa_m(A,B),k1_zfmisc_1(k2_scmfsa_2)) ) )).
fof(dt_k5_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( v1_relat_1(k5_scmfsa_x(A,B)) & v4_relat_1(k5_scmfsa_x(A,B),k4_ordinal1) & v5_relat_1(k5_scmfsa_x(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k5_scmfsa_x(A,B)) & v1_funct_1(k5_scmfsa_x(A,B)) & v1_finset_1(k5_scmfsa_x(A,B)) & v1_afinsq_1(k5_scmfsa_x(A,B)) ) ) )).
fof(dt_k5_scmpds_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => m1_subset_1(k5_scmpds_2(A,B),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k5_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( v1_relat_1(k5_scmpds_6(A,B,C)) & v4_relat_1(k5_scmpds_6(A,B,C),k4_ordinal1) & v5_relat_1(k5_scmpds_6(A,B,C),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k5_scmpds_6(A,B,C)) & v1_funct_1(k5_scmpds_6(A,B,C)) & v1_finset_1(k5_scmpds_6(A,B,C)) & v1_afinsq_1(k5_scmpds_6(A,B,C)) ) ) )).
fof(dt_k5_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => m1_subset_1(k5_scmpds_i(A),k2_scm_inst) ) )).
fof(dt_k5_scmring1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) & m1_subset_1(C,k2_ami_2) ) => m1_subset_1(k5_scmring1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => m1_subset_1(k5_scmring2(A,B,C),u1_compos_1(k1_scmring2(A))) ) )).
fof(dt_k5_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_scmringi(A)) ) => m1_subset_1(k5_scmringi(A,B),k4_ordinal1) ) )).
fof(dt_k5_scmyciel,axiom,( ! [A] : m1_scmyciel(k5_scmyciel(A),A) )).
fof(dt_k5_seq_4,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( v1_funct_1(k5_seq_4(A)) & v1_funct_2(k5_seq_4(A),k2_numbers,k2_numbers) & m1_subset_1(k5_seq_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) ) )).
fof(dt_k5_seqfunc,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k5_seqfunc(A,B)) & v1_funct_2(k5_seqfunc(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k5_seqfunc(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k5_series_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k5_series_1(A,B),k4_ordinal1) ) )).
fof(dt_k5_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k5_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k5_setlim_1(A,B,C),B) & v1_funct_1(k5_setlim_1(A,B,C)) & v1_funct_2(k5_setlim_1(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k5_setlim_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k5_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_funct_1(k5_setlim_2(A,B,C)) & v1_funct_2(k5_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k5_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k5_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => m1_subset_1(k5_setwiseo(A,B,C),k5_finsub_1(A)) ) )).
fof(dt_k5_sf_mastr,axiom,( ! [A] : m1_subset_1(k5_sf_mastr(A),k1_zfmisc_1(k3_scmfsa_2)) )).
fof(dt_k5_sfmastr3,axiom,( ! [A] : ( m1_scmfsa_2(A) => ( v1_relat_1(k5_sfmastr3(A)) & v4_relat_1(k5_sfmastr3(A),k4_ordinal1) & v5_relat_1(k5_sfmastr3(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k5_sfmastr3(A)) & ~ v1_xboole_0(k5_sfmastr3(A)) & v1_finset_1(k5_sfmastr3(A)) & v1_afinsq_1(k5_sfmastr3(A)) ) ) )).
fof(dt_k5_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_sgraph1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k5_sgraph1(A,B,C,D),k1_zfmisc_1(k3_finseq_2(u1_struct_0(B)))) ) )).
fof(dt_k5_sheffer1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k5_sheffer1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k5_simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_pre_topc(k5_simplex0(A,B)) & m1_simplex0(k5_simplex0(A,B),A) ) ) )).
fof(dt_k5_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ( ~ v3_pencil_1(k5_simplex1(A,B,C)) & v1_matroid0(k5_simplex1(A,B,C)) & v3_matroid0(k5_simplex1(A,B,C)) & m1_simplex1(k5_simplex1(A,B,C),B,C) ) ) )).
fof(dt_k5_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k5_sin_cos(A)) & v1_funct_2(k5_sin_cos(A),k4_ordinal1,k2_numbers) & m1_subset_1(k5_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k5_sin_cos2,axiom,( v1_funct_1(k5_sin_cos2) & v1_funct_2(k5_sin_cos2,k1_numbers,k1_numbers) & m1_subset_1(k5_sin_cos2,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k5_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k5_sin_cos7(A)) ) )).
fof(dt_k5_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k5_stacks_1(A,B),u4_struct_0(A)) ) )).
fof(dt_k5_struct_0,axiom,( ! [A] : ( l3_struct_0(A) => m1_subset_1(k5_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_k5_sublemma,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) ) => m2_subset_1(k5_sublemma(A,B),k16_substut1(A),k38_substut1(A)) ) )).
fof(dt_k5_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k5_substlat,axiom,( ! [A] : ! [B] : ( v3_lattices(k5_substlat(A,B)) & l3_lattices(k5_substlat(A,B)) ) )).
fof(dt_k5_substut2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => m1_subset_1(k5_substut2(A,B),k1_substut1(A)) ) )).
fof(dt_k5_supinf_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k6_numbers))) ) => v2_membered(k5_supinf_1(A)) ) )).
fof(dt_k5_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => m1_subset_1(k5_supinf_2(A,B),k1_zfmisc_1(k6_numbers)) ) )).
fof(dt_k5_taylor_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( v1_funct_1(k5_taylor_1(A,B)) & v1_funct_2(k5_taylor_1(A,B),k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(k5_taylor_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) ) )).
fof(dt_k5_tdlat_1,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(k5_tdlat_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k5_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k5_termord(A,B,C,D)) & v1_funct_2(k5_termord(A,B,C,D),k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(k5_termord(A,B,C,D),A,C) & m1_subset_1(k5_termord(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) )).
fof(dt_k5_tex_4,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_pre_topc(k5_tex_4(A,B)) & m1_pre_topc(k5_tex_4(A,B),A) ) ) )).
fof(dt_k5_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k5_tmap_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k5_topalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v15_algstr_0(k5_topalg_1(A,B)) & l3_algstr_0(k5_topalg_1(A,B)) ) ) )).
fof(dt_k5_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k5_topalg_5(A)) & v1_funct_2(k5_topalg_5(A),u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2))) & m1_subset_1(k5_topalg_5(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2))))) ) ) )).
fof(dt_k5_topalg_6,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_finseq_1(B,k1_topalg_6(A)) ) => m2_finseq_1(k5_topalg_6(A,B),k1_topalg_6(A)) ) )).
fof(dt_k5_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) & m1_borsuk_2(D,A,B,B) ) => m1_borsuk_2(k5_topalg_7(A,B,C,D),A,B,B) ) )).
fof(dt_k5_topgen_2,axiom,( ! [A] : ! [B] : ( v1_pre_topc(k5_topgen_2(A,B)) & l1_pre_topc(k5_topgen_2(A,B)) ) )).
fof(dt_k5_topgen_3,axiom,( ! [A] : ( v1_pre_topc(k5_topgen_3(A)) & v2_pre_topc(k5_topgen_3(A)) & l1_pre_topc(k5_topgen_3(A)) ) )).
fof(dt_k5_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_prob_1(k5_topgen_4(A),u1_struct_0(A)) & v1_topgen_4(k5_topgen_4(A),A) & v3_topgen_4(k5_topgen_4(A),u1_struct_0(A)) & m1_subset_1(k5_topgen_4(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_k5_topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ( v1_funct_1(k5_topgen_5(A,B,C)) & v1_funct_2(k5_topgen_5(A,B,C),u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)) & m1_subset_1(k5_topgen_5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)))) ) ) )).
fof(dt_k5_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v15_algstr_0(k5_topgrp_1(A)) & l3_algstr_0(k5_topgrp_1(A)) ) ) )).
fof(dt_k5_topmetr,axiom,( m1_pre_topc(k5_topmetr,k3_topmetr) )).
fof(dt_k5_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(k5_topreal1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k5_toprealb,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => m1_subset_1(k5_toprealb(A),k1_zfmisc_1(u1_struct_0(k2_topalg_2))) ) )).
fof(dt_k5_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(B)) ) => m1_subset_1(k5_toprealc(A,B,C,D,E,F),u1_struct_0(C)) ) )).
fof(dt_k5_toprns_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k5_toprns_1(A,B)) & v1_funct_2(k5_toprns_1(A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k5_toprns_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k5_trees_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_trees_1(C) ) => ( ~ v1_xboole_0(k5_trees_1(A,B,C)) & v1_trees_1(k5_trees_1(A,B,C)) ) ) )).
fof(dt_k5_trees_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_relat_1(k5_trees_2(A,B)) & v1_funct_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)) ) ) )).
fof(dt_k5_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_trees_3(k5_trees_3(A),A) ) )).
fof(dt_k5_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( v1_relat_1(k5_trees_4(A,B)) & v1_funct_1(k5_trees_4(A,B)) & v3_trees_2(k5_trees_4(A,B)) ) ) )).
fof(dt_k5_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => ( ~ v1_xboole_0(k5_trees_9(A,B)) & m1_subset_1(k5_trees_9(A,B),k1_zfmisc_1(k5_trees_3(A))) ) ) )).
fof(dt_k5_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) ) => v1_int_1(k5_turing_1(A,B)) ) )).
fof(dt_k5_twoscomp,axiom,( v1_funct_1(k5_twoscomp) & v1_funct_2(k5_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k5_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k5_unialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_unialg_2(B,A) & m1_unialg_2(C,A) ) => ( v1_unialg_1(k5_unialg_2(A,B,C)) & m1_unialg_2(k5_unialg_2(A,B,C),A) ) ) )).
fof(dt_k5_unialg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v2_unialg_2(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k5_unialg_3(A,B,C)) & v1_funct_2(k5_unialg_3(A,B,C),u1_struct_0(k12_unialg_2(A)),u1_struct_0(k12_unialg_2(B))) & m1_subset_1(k5_unialg_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_unialg_2(A)),u1_struct_0(k12_unialg_2(B))))) ) ) )).
fof(dt_k5_uniroots,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_funct_1(k5_uniroots(A)) & v1_funct_2(k5_uniroots(A),k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(k5_uniroots(A),k1_complfld) & m1_subset_1(k5_uniroots(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k5_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k5_uproots(A,B,C)) & v1_funct_2(k5_uproots(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k5_uproots(A,B,C),A) & m1_subset_1(k5_uproots(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k5_urysohn1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_urysohn1(A)) ) => v7_ordinal1(k5_urysohn1(A,B)) ) )).
fof(dt_k5_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m1_finseq_1(D,k2_qc_lang1(A)) & m1_subset_1(E,k2_margrel1(B)) ) => m2_funct_2(k5_valuat_1(A,B,C,D,E),k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) )).
fof(dt_k5_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v15_algstr_0(k5_vectmetr(A)) & l3_algstr_0(k5_vectmetr(A)) ) ) )).
fof(dt_k5_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v1_funct_1(k5_vectsp10(A,B,C)) & v1_funct_2(k5_vectsp10(A,B,C),k2_zfmisc_1(u1_struct_0(A),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)) & m1_subset_1(k5_vectsp10(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_vectsp10(A,B,C)),k2_vectsp10(A,B,C)))) ) ) )).
fof(dt_k5_vectsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k5_vectsp_2(A,B)) & v13_algstr_0(k5_vectsp_2(A,B)) & v2_rlvect_1(k5_vectsp_2(A,B)) & v3_rlvect_1(k5_vectsp_2(A,B)) & v4_rlvect_1(k5_vectsp_2(A,B)) & v3_vectsp_2(k5_vectsp_2(A,B),A,B) & l2_vectsp_2(k5_vectsp_2(A,B),A,B) ) ) )).
fof(dt_k5_vectsp_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k5_vectsp_5(A,B)) & v1_funct_2(k5_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m1_subset_1(k5_vectsp_5(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)))) ) ) )).
fof(dt_k5_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_vectsp_6(D,A,B) ) => m1_vectsp_6(k5_vectsp_6(A,B,C,D),A,B) ) )).
fof(dt_k5_vectsp_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_vectsp_8(A,B))) ) => ( v7_vectsp_1(k5_vectsp_8(A,B,C),A) & m1_vectsp_4(k5_vectsp_8(A,B,C),A,B) ) ) )).
fof(dt_k5_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k5_vfunct_1(A,B,C)) & m1_subset_1(k5_vfunct_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k5_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k5_vsdiff_1(A,B,C,D,E,F)) & m1_subset_1(k5_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) ) )).
fof(dt_k5_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k5_waybel10(A)) & v1_funct_2(k5_waybel10(A),u1_struct_0(k2_waybel10(A)),u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A)))) & m1_subset_1(k5_waybel10(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_waybel10(A)),u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A)))))) ) ) )).
fof(dt_k5_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => m1_subset_1(k5_waybel11(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k5_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & m1_subset_1(C,u1_struct_0(k3_waybel18(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k5_waybel18(A,B,C,D),u1_struct_0(k4_waybel18(A,B,D))) ) )).
fof(dt_k5_waybel20,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => ( v1_orders_2(k5_waybel20(A,B)) & v3_orders_2(k5_waybel20(A,B)) & v4_orders_2(k5_waybel20(A,B)) & v5_orders_2(k5_waybel20(A,B)) & v1_lattice3(k5_waybel20(A,B)) & v2_lattice3(k5_waybel20(A,B)) & v3_lattice3(k5_waybel20(A,B)) & v3_waybel_3(k5_waybel20(A,B)) & l1_orders_2(k5_waybel20(A,B)) ) ) )).
fof(dt_k5_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) ) => ( v1_funct_1(k5_waybel23(A,B)) & v1_funct_2(k5_waybel23(A,B),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))) & m1_subset_1(k5_waybel23(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))))) ) ) )).
fof(dt_k5_waybel26,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_relat_1(k5_waybel26(A)) ) )).
fof(dt_k5_waybel34,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k5_waybel34(A)) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & l2_altcat_1(k5_waybel34(A)) ) ) )).
fof(dt_k5_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k5_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_waybel_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k5_waybel_1(A,B)) & v1_funct_2(k5_waybel_1(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k5_waybel_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k5_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k5_waybel_2(A)) & v1_funct_2(k5_waybel_2(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & m1_subset_1(k5_waybel_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)))) ) ) )).
fof(dt_k5_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => m1_subset_1(k5_waybel_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k3_waybel_3(A,B,C)))) ) )).
fof(dt_k5_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k5_waybel_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_waybel_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ( v1_funct_1(k5_waybel_5(A,B)) & v1_funct_2(k5_waybel_5(A,B),k9_xtuple_0(B),u1_struct_0(A)) & m1_subset_1(k5_waybel_5(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k5_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( v6_waybel_0(k5_waybel_9(A,B,C),A) & m2_yellow_6(k5_waybel_9(A,B,C),A,B) ) ) )).
fof(dt_k5_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k5_weddwitt(A,B)) & ~ v6_struct_0(k5_weddwitt(A,B)) & v13_algstr_0(k5_weddwitt(A,B)) & v33_algstr_0(k5_weddwitt(A,B)) & v36_algstr_0(k5_weddwitt(A,B)) & v2_rlvect_1(k5_weddwitt(A,B)) & v3_rlvect_1(k5_weddwitt(A,B)) & v4_rlvect_1(k5_weddwitt(A,B)) & v4_vectsp_1(k5_weddwitt(A,B)) & v5_vectsp_1(k5_weddwitt(A,B)) & v3_group_1(k5_weddwitt(A,B)) & l6_algstr_0(k5_weddwitt(A,B)) ) ) )).
fof(dt_k5_weierstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( v1_funct_1(k5_weierstr(A,B)) & v1_funct_2(k5_weierstr(A,B),u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k5_weierstr(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k5_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xcmplx_0(k5_xcmplx_0(A)) ) )).
fof(dt_k5_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => v1_xxreal_0(k5_xxreal_3(A)) ) )).
fof(dt_k5_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v9_functor0(k5_yellow18(A),A,k4_yellow18(A)) & v15_functor0(k5_yellow18(A),A,k4_yellow18(A)) & m2_functor0(k5_yellow18(A),A,k4_yellow18(A)) ) ) )).
fof(dt_k5_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v2_altcat_1(C) & v3_altcat_2(C,A) & m1_altcat_2(C,A) & v16_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( v9_functor0(k5_yellow20(A,B,C,D),C,B) & v16_functor0(k5_yellow20(A,B,C,D),C,B) & m2_functor0(k5_yellow20(A,B,C,D),C,B) ) ) )).
fof(dt_k5_yellow21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_altcat_1(A,B,C)) ) => ( v1_funct_1(k5_yellow21(A,B,C,D)) & v1_funct_2(k5_yellow21(A,B,C,D),u1_struct_0(k3_yellow21(A,B)),u1_struct_0(k3_yellow21(A,C))) & v5_orders_3(k5_yellow21(A,B,C,D),k3_yellow21(A,B),k3_yellow21(A,C)) & m1_subset_1(k5_yellow21(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow21(A,B)),u1_struct_0(k3_yellow21(A,C))))) ) ) )).
fof(dt_k5_yellow_0,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & m1_yellow_0(k5_yellow_0(A,B),A) ) ) )).
fof(dt_k5_yellow_1,axiom,( ! [A] : ! [B] : ( l1_orders_2(B) => ( v1_orders_2(k5_yellow_1(A,B)) & l1_orders_2(k5_yellow_1(A,B)) ) ) )).
fof(dt_k5_yellow_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_relat_1(B) ) => m1_subset_1(k5_yellow_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k5_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => m1_subset_1(k5_yellow_3(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k5_zf_lang,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k5_zf_lang(A),k4_ordinal1) ) )).
fof(dt_k5_zf_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zf_lang) & m1_subset_1(C,k1_zf_lang) ) => ( v1_relat_1(k5_zf_lang1(A,B,C)) & v1_funct_1(k5_zf_lang1(A,B,C)) ) ) )).
fof(dt_k5_zf_model,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) ) => m1_subset_1(k5_zf_model(A,B),k1_zfmisc_1(k3_zf_model(B))) ) )).
fof(dt_k5_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( ~ v1_xboole_0(k5_zf_refle(A,B,C)) & m1_subset_1(k5_zf_refle(A,B,C),A) ) ) )).
fof(dt_k5_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_zmodul01(C,A) ) => m1_subset_1(k5_zmodul01(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k5_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_int_1(B) ) => m1_zmodul01(k5_zmodul02(A,B),A) ) )).
fof(dt_k5_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ~ v2_struct_0(k5_zmodul04(A)) & v13_algstr_0(k5_zmodul04(A)) & v8_vectsp_1(k5_zmodul04(A),k11_gaussint) & v9_vectsp_1(k5_zmodul04(A),k11_gaussint) & v10_vectsp_1(k5_zmodul04(A),k11_gaussint) & v11_vectsp_1(k5_zmodul04(A),k11_gaussint) & v2_rlvect_1(k5_zmodul04(A)) & v3_rlvect_1(k5_zmodul04(A)) & v4_rlvect_1(k5_zmodul04(A)) & l1_vectsp_1(k5_zmodul04(A),k11_gaussint) ) ) )).
fof(dt_k5_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m2_zmodul02(k5_zmodul05(A,B,C),A,C) ) )).
fof(dt_k60_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => m1_abcmiz_1(k60_abcmiz_1(A,B,C),A,k13_abcmiz_1(A)) ) )).
fof(dt_k60_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k60_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k60_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k60_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(F,k1_zfmisc_1(A)) ) => m1_subset_1(k60_modelc_1(A,B,C,D,E,F),k1_zfmisc_1(A)) ) )).
fof(dt_k61_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v8_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => ( v8_abcmiz_1(k61_abcmiz_1(A,B,C),A) & m1_abcmiz_1(k61_abcmiz_1(A,B,C),A,k13_abcmiz_1(A)) ) ) )).
fof(dt_k61_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) ) => ( v1_funct_1(k61_modelc_1(A,B,C,D,E)) & v1_funct_2(k61_modelc_1(A,B,C,D,E),k1_zfmisc_1(A),k1_zfmisc_1(A)) & v6_cohsp_1(k61_modelc_1(A,B,C,D,E)) & m1_subset_1(k61_modelc_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) ) )).
fof(dt_k61_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k61_valued_1(A,B)) & v1_funct_1(k61_valued_1(A,B)) ) ) )).
fof(dt_k62_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_abcmiz_1(C,A,k12_abcmiz_1(A)) ) => m1_abcmiz_1(k62_abcmiz_1(A,B,C),A,k12_abcmiz_1(A)) ) )).
fof(dt_k62_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(k62_valued_1(A),k4_ordinal1) ) )).
fof(dt_k62_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k62_valued_2(A,B,C)) & v1_funct_1(k62_valued_2(A,B,C)) ) ) )).
fof(dt_k63_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) ) => m1_subset_1(k63_abcmiz_1(A,B,C),k1_zfmisc_1(k38_abcmiz_1(A))) ) )).
fof(dt_k63_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) => ( v1_relat_1(k63_valued_1(A)) & v1_funct_1(k63_valued_1(A)) ) ) )).
fof(dt_k63_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => ( v1_funct_1(k63_valued_2(A,B,C,D)) & m1_subset_1(k63_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k64_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m3_abcmiz_1(C,A) ) => m3_abcmiz_1(k64_abcmiz_1(A,B,C),A) ) )).
fof(dt_k64_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => m1_subset_1(k64_valued_1(A),k4_ordinal1) ) )).
fof(dt_k64_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( v1_funct_1(k64_valued_2(A,B,C,D)) & m1_subset_1(k64_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k65_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( v1_funct_1(k65_abcmiz_1(A,B,C)) & m1_subset_1(k65_abcmiz_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) ) )).
fof(dt_k65_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) => ( v15_aofa_000(k65_aofa_i00(A,B,C,D,E),A) & m1_subset_1(k65_aofa_i00(A,B,C,D,E),u1_struct_0(A)) ) ) )).
fof(dt_k66_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) => ( v15_aofa_000(k66_aofa_i00(A,B,C,D,E),A) & m1_subset_1(k66_aofa_i00(A,B,C,D,E),u1_struct_0(A)) ) ) )).
fof(dt_k67_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & m3_aofa_i00(F,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) => ( v15_aofa_000(k67_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k67_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k68_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m3_aofa_i00(E,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & m3_aofa_i00(F,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) => ( v15_aofa_000(k68_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k68_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k68_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k68_valued_2(A,B,C)) & v1_funct_1(k68_valued_2(A,B,C)) ) ) )).
fof(dt_k69_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => ( v1_funct_1(k69_valued_2(A,B,C,D)) & m1_subset_1(k69_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k2_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k6_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_abcmiz_0(A))) ) => m1_subset_1(k6_abcmiz_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & l2_absred_0(A) ) => m1_subset_1(k6_absred_0(A),u1_struct_0(A)) ) )).
fof(dt_k6_aescip_1,axiom,( v1_funct_1(k6_aescip_1) & v1_funct_2(k6_aescip_1,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(k6_aescip_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) )).
fof(dt_k6_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => m1_subset_1(k6_afinsq_2(A,B,C),A) ) )).
fof(dt_k6_afproj,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k6_afproj(A,B),k1_zfmisc_1(k2_afproj(A))) ) )).
fof(dt_k6_alg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_alg_1(k6_alg_1(A,B,C),A) ) )).
fof(dt_k6_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_algstr_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(B) ) => ( v1_partfun1(k6_algstr_4(A,B),u1_struct_0(A)) & v3_relat_2(k6_algstr_4(A,B)) & v8_relat_2(k6_algstr_4(A,B)) & m1_subset_1(k6_algstr_4(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k6_altcat_1,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(A) & v4_funct_1(B) ) => ( v1_relat_1(k6_altcat_1(A,B)) & v4_relat_1(k6_altcat_1(A,B),k2_zfmisc_1(B,A)) & v1_funct_1(k6_altcat_1(A,B)) & v1_partfun1(k6_altcat_1(A,B),k2_zfmisc_1(B,A)) & v1_funcop_1(k6_altcat_1(A,B)) & v7_altcat_1(k6_altcat_1(A,B)) ) ) )).
fof(dt_k6_altcat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v6_altcat_1(k6_altcat_2(A,B)) & m1_altcat_2(k6_altcat_2(A,B),A) ) ) )).
fof(dt_k6_ami_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) & v7_ordinal1(B) ) => m1_subset_1(k6_ami_2(A,B),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) ) )).
fof(dt_k6_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => m1_subset_1(k6_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k6_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) ) => m1_subset_1(k6_ami_wstd(A,B,C),k4_ordinal1) ) )).
fof(dt_k6_analort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_analmetr(k6_analort(A,B,C)) & l1_analmetr(k6_analort(A,B,C)) ) ) )).
fof(dt_k6_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( v1_relat_1(k6_aofa_a00(A,B,C,D,E,F,G)) & v1_funct_1(k6_aofa_a00(A,B,C,D,E,F,G)) & v1_finseq_1(k6_aofa_a00(A,B,C,D,E,F,G)) ) )).
fof(dt_k6_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) & m1_subset_1(I,k1_funct_1(u3_msualg_1(A,C),G)) ) => m1_subset_1(k6_aofa_a01(A,B,C,D,E,F,G,H,I),u1_struct_0(E)) ) )).
fof(dt_k6_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & l4_aofa_l00(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) & m1_subset_1(F,k3_card_3(B)) & m1_subset_1(G,k3_card_3(B)) ) => m1_subset_1(k6_aofa_l00(A,B,C,D,E,F,G),k1_funct_1(u3_msualg_1(A,C),D)) ) )).
fof(dt_k6_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k6_armstrng(A,B,C),k4_armstrng(A)) ) )).
fof(dt_k6_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_arytm_2) & m1_subset_1(B,k1_arytm_2) ) => m2_subset_1(k6_arytm_2(A,B),k1_zfmisc_1(k5_arytm_3),k1_arytm_2) ) )).
fof(dt_k6_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => m1_subset_1(k6_arytm_3(A),k4_ordinal1) ) )).
fof(dt_k6_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => m1_funct_2(k6_asympt_0(A),k4_ordinal1,k1_numbers) ) )).
fof(dt_k6_asympt_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k6_asympt_1(A),k4_ordinal1) ) )).
fof(dt_k6_autalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_funct_1(k6_autalg_1(A,B)) & v1_funct_2(k6_autalg_1(A,B),k2_zfmisc_1(k5_autalg_1(A,B),k5_autalg_1(A,B)),k5_autalg_1(A,B)) & m1_subset_1(k6_autalg_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_autalg_1(A,B),k5_autalg_1(A,B)),k5_autalg_1(A,B)))) ) ) )).
fof(dt_k6_autgroup,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m2_funct_2(k6_autgroup(A,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) ) )).
fof(dt_k6_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k6_bagorder(A),k15_pre_poly(A)) & v1_relat_2(k6_bagorder(A)) & v4_relat_2(k6_bagorder(A)) & v8_relat_2(k6_bagorder(A)) & m1_subset_1(k6_bagorder(A),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_k6_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,k5_bcialg_1(A)) & m1_subset_1(C,k5_bcialg_1(A)) ) => m2_subset_1(k6_bcialg_1(A,B,C),u1_struct_0(A),k5_bcialg_1(A)) ) )).
fof(dt_k6_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m1_subset_1(k6_bcialg_4(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m4_bcialg_2(D,A,C) ) => ( ~ v1_xboole_0(k6_bcialg_6(A,B,C,D)) & m1_subset_1(k6_bcialg_6(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k6_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k6_bhsp_1(A,B,C)) & v1_funct_2(k6_bhsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k6_bhsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k6_bhsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k6_bhsp_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k6_bilinear(A,B,C,D,E)) & v1_funct_2(k6_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(k6_bilinear(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k6_binari_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => ( v3_card_1(k6_binari_2(A,B,C),A) & m2_finseq_1(k6_binari_2(A,B,C),k5_margrel1) ) ) )).
fof(dt_k6_binarith,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) ) => m1_subset_1(k6_binarith(A,B),k4_ordinal1) ) )).
fof(dt_k6_binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m1_subset_1(k6_binom(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,u1_struct_0(B)) & m2_connsp_2(E,A,C) & m1_connsp_2(F,B,D) ) => m2_connsp_2(k6_borsuk_1(A,B,C,D,E,F),k2_borsuk_1(A,B),k3_borsuk_1(A,B,C,k6_domain_1(u1_struct_0(B),D))) ) )).
fof(dt_k6_borsuk_6,axiom,( m1_subset_1(k6_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) )).
fof(dt_k6_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k3_topmetr)) & m1_subset_1(B,u1_struct_0(k3_topmetr)) & m1_borsuk_2(C,k3_topmetr,A,B) & v1_xreal_0(D) ) => m1_borsuk_2(k6_borsuk_7(A,B,C,D),k3_topmetr,k2_borsuk_7(A,D),k2_borsuk_7(B,D)) ) )).
fof(dt_k6_bspace,axiom,( ! [A] : ( v1_funct_1(k6_bspace(A)) & v1_funct_2(k6_bspace(A),k2_zfmisc_1(u1_struct_0(k2_bspace),k1_zfmisc_1(A)),k1_zfmisc_1(A)) & m1_subset_1(k6_bspace(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_bspace),k1_zfmisc_1(A)),k1_zfmisc_1(A)))) ) )).
fof(dt_k6_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k6_bvfunc25(A,B,C)) & v1_funct_2(k6_bvfunc25(A,B,C),A,k5_margrel1) & m1_subset_1(k6_bvfunc25(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k6_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k6_bvfunc_1(A,B,C)) & v1_funct_2(k6_bvfunc_1(A,B,C),A,k5_margrel1) & m1_subset_1(k6_bvfunc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k6_bvfunc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) & m1_eqrel_1(D,A) ) => ( v1_funct_1(k6_bvfunc_2(A,B,C,D)) & v1_funct_2(k6_bvfunc_2(A,B,C,D),A,k5_margrel1) & m1_subset_1(k6_bvfunc_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k6_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k6_c0sp1(A)) & m1_subset_1(k6_c0sp1(A),k1_zfmisc_1(u1_struct_0(k12_funcsdom(A)))) ) ) )).
fof(dt_k6_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k6_c0sp2(A)) & m1_subset_1(k6_c0sp2(A),k1_zfmisc_1(u1_struct_0(k10_funcsdom(u1_struct_0(A))))) ) ) )).
fof(dt_k6_calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,A) ) => m2_finseq_1(k6_calcul_2(A,B,C),A) ) )).
fof(dt_k6_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) => v1_card_1(k6_card_3(A)) ) )).
fof(dt_k6_card_fil,axiom,( ! [A] : ( ( v1_card_1(A) & ~ v2_card_1(A) ) => v1_card_1(k6_card_fil(A)) ) )).
fof(dt_k6_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_cat_1(D,A,B,C) ) => m1_cat_1(k6_cat_1(A,B,C,D),A,C,B) ) )).
fof(dt_k6_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( ~ v2_struct_0(k6_cat_2(A,B)) & ~ v11_struct_0(k6_cat_2(A,B)) & v2_cat_1(k6_cat_2(A,B)) & v3_cat_1(k6_cat_2(A,B)) & v4_cat_1(k6_cat_2(A,B)) & v5_cat_1(k6_cat_2(A,B)) & v6_cat_1(k6_cat_2(A,B)) & l1_cat_1(k6_cat_2(A,B)) ) ) )).
fof(dt_k6_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) & m1_subset_1(D,u4_struct_0(A)) ) => ( v1_funct_1(k6_cat_3(A,B,C,D)) & v1_funct_2(k6_cat_3(A,B,C,D),B,u4_struct_0(A)) & m1_subset_1(k6_cat_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) ) )).
fof(dt_k6_cat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_1(k6_cat_4(A,B),A,B,k1_cat_4(A)) ) )).
fof(dt_k6_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( ~ v2_struct_0(k6_cat_5(A,B)) & ~ v11_struct_0(k6_cat_5(A,B)) & v2_cat_1(k6_cat_5(A,B)) & v3_cat_1(k6_cat_5(A,B)) & v4_cat_1(k6_cat_5(A,B)) & v5_cat_1(k6_cat_5(A,B)) & v6_cat_1(k6_cat_5(A,B)) & l1_cat_1(k6_cat_5(A,B)) ) ) )).
fof(dt_k6_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => m1_subset_1(k6_cat_6(A),k1_zfmisc_1(k1_cat_6(A))) ) )).
fof(dt_k6_cat_7,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_cat_6(k6_cat_7(A)) & v8_cat_6(k6_cat_7(A)) & v9_cat_6(k6_cat_7(A)) & v10_cat_6(k6_cat_7(A)) & v6_cat_7(k6_cat_7(A)) & v7_cat_7(k6_cat_7(A),A) & l1_cat_6(k6_cat_7(A)) ) ) )).
fof(dt_k6_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k6_cc0sp1(A)) & v1_funct_2(k6_cc0sp1(A),k2_cc0sp1(A),k1_numbers) & m1_subset_1(k6_cc0sp1(A),k1_zfmisc_1(k2_zfmisc_1(k2_cc0sp1(A),k1_numbers))) ) ) )).
fof(dt_k6_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k6_cc0sp2(A)) & m1_subset_1(k6_cc0sp2(A),k1_zfmisc_1(u1_struct_0(k6_cfuncdom(u1_struct_0(A))))) ) ) )).
fof(dt_k6_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k6_cfuncdom(A)) & v1_clvect_1(k6_cfuncdom(A)) & l1_clvect_1(k6_cfuncdom(A)) ) ) )).
fof(dt_k6_chain_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) ) => m1_subset_1(k6_chain_1(A,B),k1_zfmisc_1(k4_chain_1(A,B,A))) ) )).
fof(dt_k6_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) & m1_circcmb3(C,A) ) => ( v1_msualg_1(k6_circcmb3(A,B,C)) & m1_circcmb3(k6_circcmb3(A,B,C),A) ) ) )).
fof(dt_k6_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) & v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ( v3_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) & v4_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) & l3_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) ) ) )).
fof(dt_k6_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => v7_ordinal1(k6_circuit1(A,B,C)) ) )).
fof(dt_k6_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) ) => m1_subset_1(k6_circuit2(A,B,C),k4_card_3(u3_msualg_1(A,B))) ) )).
fof(dt_k6_classes1,axiom,( ! [A] : v3_ordinal1(k6_classes1(A)) )).
fof(dt_k6_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k6_classes2(A,B,C),A) ) )).
fof(dt_k6_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v2_struct_0(k6_clopban1(A,B)) & v13_algstr_0(k6_clopban1(A,B)) & v2_rlvect_1(k6_clopban1(A,B)) & v3_rlvect_1(k6_clopban1(A,B)) & v4_rlvect_1(k6_clopban1(A,B)) & v2_clvect_1(k6_clopban1(A,B)) & v3_clvect_1(k6_clopban1(A,B)) & v4_clvect_1(k6_clopban1(A,B)) & v5_clvect_1(k6_clopban1(A,B)) & l1_clvect_1(k6_clopban1(A,B)) ) ) )).
fof(dt_k6_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => m2_subset_1(k6_clopban2(A),u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) ) )).
fof(dt_k6_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ( v1_funct_1(k6_clopban4(A)) & v1_funct_2(k6_clopban4(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k6_clopban4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k6_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_closure1(C,u1_struct_0(A),B) & v2_closure1(C,u1_struct_0(A),B) & v3_closure1(C,u1_struct_0(A),B) & m2_pboole(C,u1_struct_0(A),k5_mssubfam(u1_struct_0(A),B),k5_mssubfam(u1_struct_0(A),B)) ) => ( v9_closure1(k6_closure1(A,B,C),A) & l1_closure1(k6_closure1(A,B,C),A) ) ) )).
fof(dt_k6_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_closure2(k6_closure2(A,B),A,B) & v2_closure2(k6_closure2(A,B),A,B) & v3_closure2(k6_closure2(A,B),A,B) & v4_closure2(k6_closure2(A,B),A,B) & v5_closure2(k6_closure2(A,B),A,B) & v6_closure2(k6_closure2(A,B),A,B) & m1_subset_1(k6_closure2(A,B),k1_zfmisc_1(k1_closure2(A,B))) ) ) )).
fof(dt_k6_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_xcmplx_0(C) ) => ( v1_funct_1(k6_clvect_1(A,B,C)) & v1_funct_2(k6_clvect_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k6_clvect_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k6_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k6_clvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_clvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k6_clvect_3(A,B,C)) & v1_funct_2(k6_clvect_3(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k6_clvect_3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k6_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => m1_subset_1(k6_coh_sp(A,B),k3_coh_sp(A)) ) )).
fof(dt_k6_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(k6_cohsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k3_tarski(B)))) ) )).
fof(dt_k6_combgras,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => m1_subset_1(k6_combgras(A,B),k1_zfmisc_1(k9_setfam_1(A))) ) )).
fof(dt_k6_complex1,axiom,( m1_subset_1(k6_complex1,k2_numbers) )).
fof(dt_k6_complsp2,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m2_finseq_1(k6_complsp2(A),k1_numbers) ) )).
fof(dt_k6_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k6_compos_1(A,B,C)) & v4_relat_1(k6_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k6_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k6_compos_1(A,B,C)) & v1_finset_1(k6_compos_1(A,B,C)) ) ) )).
fof(dt_k6_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) & v7_ordinal1(C) & m1_finseq_1(D,k4_ordinal1) ) => m2_rfunct_3(k6_comput_1(A,B,C,D),k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) ) )).
fof(dt_k6_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_funct_1(k6_comseq_3(A,B)) & m1_subset_1(k6_comseq_3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k6_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v3_conlat_1(k6_conlat_1(A),A) & ~ v4_conlat_1(k6_conlat_1(A),A) & v6_conlat_1(k6_conlat_1(A),A) & v8_conlat_1(k6_conlat_1(A),A) & l2_conlat_1(k6_conlat_1(A),A) ) ) )).
fof(dt_k6_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k6_conlat_2(A)) & ~ v11_struct_0(k6_conlat_2(A)) & v1_conlat_1(k6_conlat_2(A)) & l1_conlat_1(k6_conlat_2(A)) ) ) )).
fof(dt_k6_connsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_connsp_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_cqc_lang,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => m2_subset_1(k6_cqc_lang(A,B),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k6_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & m1_subset_1(C,k8_qc_lang1(A,B)) & v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,B) & m1_finseq_1(D,k2_qc_lang1(A)) ) => m2_funct_2(k6_cqc_sim1(A,B,C,D),k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) ) )).
fof(dt_k6_csspace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k6_csspace(A,B)) & v1_funct_2(k6_csspace(A,B),k2_zfmisc_1(B,B),B) & m1_subset_1(k6_csspace(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) ) )).
fof(dt_k6_csspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( v1_funct_1(k6_csspace4(A,B,C)) & v1_funct_2(k6_csspace4(A,B,C),A,u1_struct_0(B)) & v1_csspace4(k6_csspace4(A,B,C),A,B) & m1_subset_1(k6_csspace4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k6_dblseq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k6_dblseq_1(A,B,C,D,E)) & v1_funct_2(k6_dblseq_1(A,B,C,D,E),k2_zfmisc_1(A,A),B) & m1_subset_1(k6_dblseq_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) ) ) )).
fof(dt_k6_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k6_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k6_descip_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k6_descip_1(A)) & v1_funct_1(k6_descip_1(A)) & v1_finseq_1(k6_descip_1(A)) ) ) )).
fof(dt_k6_dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k6_dickson(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k6_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k6_diff_1(A,B)) & v1_funct_2(k6_diff_1(A,B),k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(k6_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) ) )).
fof(dt_k6_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(k6_dilworth(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => m1_subset_1(k6_dist_1(A),k1_zfmisc_1(k1_zfmisc_1(k3_finseq_2(A)))) ) )).
fof(dt_k6_dist_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => v1_xreal_0(k6_dist_2(A,B,C)) ) )).
fof(dt_k6_domain_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k6_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & l1_lang1(A) ) => ( ~ v1_xboole_0(k6_dtconstr(A)) & m1_subset_1(k6_dtconstr(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k6_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(k5_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_dualsp01(A,B,C),k1_numbers) ) )).
fof(dt_k6_dynkin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k6_dynkin(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k6_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => ( ~ v1_xboole_0(k6_ec_pf_1(A,B,C)) & m1_subset_1(k6_ec_pf_1(A,B,C),k1_zfmisc_1(k3_ec_pf_1(k9_int_3(A)))) ) ) )).
fof(dt_k6_ec_pf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) & m1_subset_1(D,k6_ec_pf_1(A,B,C)) ) => m1_subset_1(k6_ec_pf_2(A,B,C,D),u1_struct_0(k9_int_3(A))) ) )).
fof(dt_k6_endalg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v22_algstr_0(k6_endalg(A,B)) & l4_algstr_0(k6_endalg(A,B)) ) ) )).
fof(dt_k6_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) & m1_subset_1(C,k2_ens_1(A)) ) => m1_subset_1(k6_ens_1(A,B,C),k2_ens_1(A)) ) )).
fof(dt_k6_entropy1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => v1_xreal_0(k6_entropy1(A)) ) )).
fof(dt_k6_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k6_eqrel_1(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k6_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => m2_finseq_2(k6_euclid(A,B),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k6_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k6_euclid_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k6_euclid_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) & m1_subset_1(B,u1_struct_0(k15_euclid(3))) & m1_subset_1(C,u1_struct_0(k15_euclid(3))) ) => v1_xreal_0(k6_euclid_5(A,B,C)) ) )).
fof(dt_k6_euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m2_finseq_2(k6_euclid_7(A,B),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k6_euclid_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k6_euclid_8(A,B,C)) & v1_funct_2(k6_euclid_8(A,B,C),k1_numbers,k1_euclid(3)) & m1_subset_1(k6_euclid_8(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(3)))) ) ) )).
fof(dt_k6_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( v1_relat_1(k6_extpro_1(A,B,C,D)) & v4_relat_1(k6_extpro_1(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k6_extpro_1(A,B,C,D)) & v5_funct_1(k6_extpro_1(A,B,C,D),k2_memstr_0(A,B)) & v1_partfun1(k6_extpro_1(A,B,C,D),u1_struct_0(B)) ) ) )).
fof(dt_k6_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => m1_subset_1(k6_extreal1(A,B),k6_numbers) ) )).
fof(dt_k6_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( v3_msualg_1(k6_facirc_1(A,B,C),k5_circcomb(C,k10_finseq_1(A,B))) & v4_msafree2(k6_facirc_1(A,B,C),k5_circcomb(C,k10_finseq_1(A,B))) & v4_circcomb(k6_facirc_1(A,B,C),k5_circcomb(C,k10_finseq_1(A,B))) & v6_circcomb(k6_facirc_1(A,B,C),k5_circcomb(C,k10_finseq_1(A,B))) & l3_msualg_1(k6_facirc_1(A,B,C),k5_circcomb(C,k10_finseq_1(A,B))) ) ) )).
fof(dt_k6_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => m2_subset_1(k6_facirc_2(A,B,C,D),u1_struct_0(k3_facirc_2(B,C,D)),k3_msafree2(k3_facirc_2(B,C,D))) ) )).
fof(dt_k6_ff_siec,axiom,( v1_petri(k6_ff_siec) & v1_net_1(k6_ff_siec) & l1_petri(k6_ff_siec) )).
fof(dt_k6_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k6_fib_num2(A),k4_ordinal1) ) )).
fof(dt_k6_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k6_filter_0(A,B)) & v10_lattices(k6_filter_0(A,B)) & l3_lattices(k6_filter_0(A,B)) ) ) )).
fof(dt_k6_filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v1_funct_1(k6_filter_1(A,B,C,D)) & v1_funct_2(k6_filter_1(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & m1_subset_1(k6_filter_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) ) ) )).
fof(dt_k6_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k6_filter_2(A,B)) & v18_lattices(k6_filter_2(A,B),A) & v21_lattices(k6_filter_2(A,B),A) & m1_subset_1(k6_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k6_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k6_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( v1_funct_1(k6_finance2(A)) & v1_funct_2(k6_finance2(A),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k6_finance2(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) )).
fof(dt_k6_finseq_1,axiom,( ! [A] : m2_finseq_1(k6_finseq_1(A),A) )).
fof(dt_k6_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k6_finseq_2(A,B)) & v4_relat_1(k6_finseq_2(A,B),k3_finseq_2(A)) & v1_funct_1(k6_finseq_2(A,B)) & v1_partfun1(k6_finseq_2(A,B),k3_finseq_2(A)) ) ) )).
fof(dt_k6_finseq_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k6_finseq_4(A,B)) & v1_funct_1(k6_finseq_4(A,B)) & v1_finseq_1(k6_finseq_4(A,B)) ) ) )).
fof(dt_k6_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k6_finseq_8(A,B,C),A) ) )).
fof(dt_k6_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_relat_1(k6_finseqop(A,B,C)) & v1_funct_1(k6_finseqop(A,B,C)) ) ) )).
fof(dt_k6_finsub_1,axiom,( ! [A] : m1_subset_1(k6_finsub_1(A),k5_finsub_1(A)) )).
fof(dt_k6_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k6_fintopo2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k6_fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k6_fintopo3(A,B)) & v1_funct_2(k6_fintopo3(A,B),k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k6_fintopo3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k6_flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) & m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) ) => m1_subset_1(k6_flang_1(A,B,C),k1_zfmisc_1(k3_catalan2(A))) ) )).
fof(dt_k6_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_funct_1(k6_fomodel0(A,B)) & v1_funct_2(k6_fomodel0(A,B),k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A) & m1_subset_1(k6_fomodel0(A,B),k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A))) ) ) )).
fof(dt_k6_fomodel2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k6_fomodel2(A,B)) & v1_funct_1(k6_fomodel2(A,B)) ) ) )).
fof(dt_k6_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => m1_subset_1(k6_fomodel4(A,B),k1_zfmisc_1(k1_zfmisc_1(k8_mcart_1(k1_zfmisc_1(k1_fomodel4(A)),k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))))) ) )).
fof(dt_k6_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => m2_finseq_1(k6_freealg(A,B),k4_partfun1(k3_finseq_2(k4_dtconstr(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B)))) ) )).
fof(dt_k6_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k6_fscirc_1(A,B,C),u1_struct_0(k4_fscirc_1(A,B,C)),k3_msafree2(k4_fscirc_1(A,B,C))) )).
fof(dt_k6_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & v7_ordinal1(D) ) => ( v1_partfun1(k6_fsm_1(A,B,C,D),u1_struct_0(C)) & v3_relat_2(k6_fsm_1(A,B,C,D)) & v8_relat_2(k6_fsm_1(A,B,C,D)) & m1_subset_1(k6_fsm_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) ) )).
fof(dt_k6_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => m1_subset_1(k6_fsm_3(A,B,C),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k6_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k6_ftacell1(A,B,C,D,E),k3_msafree2(k1_ftacell1(A,B,C,D,E))) )).
fof(dt_k6_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_funct_1(k6_funcop_1(A,B,C,D,E)) & v1_funct_2(k6_funcop_1(A,B,C,D,E),B,A) & m1_subset_1(k6_funcop_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k6_funcsdom,axiom,( ! [A] : ( v1_funct_1(k6_funcsdom(A)) & v1_funct_2(k6_funcsdom(A),k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(k6_funcsdom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) )).
fof(dt_k6_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => m1_subset_1(k6_funct_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k6_funct_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_funct_1(k6_funct_3(A,B)) & v1_funct_2(k6_funct_3(A,B),B,A) & m1_subset_1(k6_funct_3(A,B),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k6_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k6_funct_6(A)) & v1_funct_1(k6_funct_6(A)) ) ) )).
fof(dt_k6_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & v10_functor0(C,A,B) & l2_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,k1_altcat_1(A,D,E)) ) => m1_subset_1(k6_functor0(A,B,C,D,E,F),k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E))) ) )).
fof(dt_k6_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) & v15_functor0(D,B,C) & m2_functor0(D,B,C) & v15_functor0(E,B,C) & m2_functor0(E,B,C) & v15_functor0(F,A,B) & m2_functor0(F,A,B) & m1_functor2(G,B,C,D,E) ) => m1_functor2(k6_functor3(A,B,C,D,E,F,G),A,C,k1_functor3(A,B,C,F,D),k1_functor3(A,B,C,F,E)) ) )).
fof(dt_k6_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_relat_1(k6_fuzzy_1(A,B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k6_fuzzy_1(A,B,C)) & v1_funct_2(k6_fuzzy_1(A,B,C),A,k1_numbers) & m1_subset_1(k6_fuzzy_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k6_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) ) => m2_finseq_2(k6_fvsum_1(A,B,C),u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) ) )).
fof(dt_k6_gaussint,axiom,( ~ v2_struct_0(k6_gaussint) & v36_algstr_0(k6_gaussint) & l6_algstr_0(k6_gaussint) )).
fof(dt_k6_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) & m2_gcd_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => m1_subset_1(k6_gcd_1(A,B,C,D,E,F),u1_struct_0(A)) ) )).
fof(dt_k6_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_finseq_1(B,k3_card_3(A)) & m1_finseq_1(C,k3_card_3(A)) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) & m1_subset_1(I,k4_ordinal1) ) => m2_finseq_1(k6_genealg1(A,B,C,D,E,F,G,H,I),k3_card_3(A)) ) )).
fof(dt_k6_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k6_geomtrap(A)) & v1_funct_2(k6_geomtrap(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(k6_geomtrap(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_k6_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k6_gfacirc1(A,B,C),k5_gfacirc1(A,B,C)) & v4_msafree2(k6_gfacirc1(A,B,C),k5_gfacirc1(A,B,C)) & v4_circcomb(k6_gfacirc1(A,B,C),k5_gfacirc1(A,B,C)) & v6_circcomb(k6_gfacirc1(A,B,C),k5_gfacirc1(A,B,C)) & l3_msualg_1(k6_gfacirc1(A,B,C),k5_gfacirc1(A,B,C)) ) )).
fof(dt_k6_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v3_msualg_1(k6_gfacirc2(A,B,C),k5_gfacirc2(A,B,C)) & v4_msafree2(k6_gfacirc2(A,B,C),k5_gfacirc2(A,B,C)) & v4_circcomb(k6_gfacirc2(A,B,C),k5_gfacirc2(A,B,C)) & v6_circcomb(k6_gfacirc2(A,B,C),k5_gfacirc2(A,B,C)) & l3_msualg_1(k6_gfacirc2(A,B,C),k5_gfacirc2(A,B,C)) ) ) )).
fof(dt_k6_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => m3_glib_001(k6_glib_001(A,B),A) ) )).
fof(dt_k6_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => ( v1_relat_1(k6_glib_003(A)) & v1_funct_1(k6_glib_003(A)) ) ) )).
fof(dt_k6_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) => m1_subset_1(k6_glib_004(A,B),k1_zfmisc_1(k7_glib_000(A))) ) )).
fof(dt_k6_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) ) => m1_glib_005(k6_glib_005(A,B,C),A,B) ) )).
fof(dt_k6_goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & v7_ordinal1(C) ) => m1_subset_1(k6_goedcpuc(A,B,C),k1_zfmisc_1(k3_cqc_lang(k5_goedcpuc(A,C)))) ) )).
fof(dt_k6_goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => m1_subset_1(k6_goedelcp(A,B),k1_zfmisc_1(k3_qc_lang1(A))) ) )).
fof(dt_k6_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => m1_subset_1(k6_graph_1(A),k4_ordinal1) ) )).
fof(dt_k6_graph_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_graph_1(B,A) ) => m2_finseq_1(k6_graph_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k6_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k6_graph_3(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k6_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => m1_subset_1(k6_graph_5(A,B),k1_zfmisc_1(k3_finseq_2(u4_struct_0(A)))) ) )).
fof(dt_k6_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) & m1_subset_1(B,k3_finseq_2(k1_numbers)) ) => m2_finseq_2(k6_graphsp(A,B),k1_numbers,k3_finseq_2(k1_numbers)) ) )).
fof(dt_k6_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l2_struct_0(B) ) => ( v1_funct_1(k6_grcat_1(A,B)) & v1_funct_2(k6_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k6_grcat_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k6_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v7_ordinal1(E) ) => ( v1_funct_1(k6_groeb_3(A,B,C,D,E)) & v1_funct_2(k6_groeb_3(A,B,C,D,E),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k6_groeb_3(A,B,C,D,E),C) & m1_subset_1(k6_groeb_3(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) )).
fof(dt_k6_group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k6_group_1(A,B),k4_ordinal1) ) )).
fof(dt_k6_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) ) => ( v1_funct_1(k6_group_10(A,B,C)) & v1_funct_2(k6_group_10(A,B,C),k2_zfmisc_1(u1_struct_0(A),C),k2_zfmisc_1(u1_struct_0(A),C)) & m1_subset_1(k6_group_10(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),C),k2_zfmisc_1(u1_struct_0(A),C)))) ) ) )).
fof(dt_k6_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) ) => ( v1_funct_1(k6_group_19(A,B,C)) & v1_funct_2(k6_group_19(A,B,C),k4_card_3(A),k4_card_3(B)) & m1_subset_1(k6_group_19(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(B)))) ) ) )).
fof(dt_k6_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k6_group_2(A)) & m1_group_2(k6_group_2(A),A) ) ) )).
fof(dt_k6_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( v15_algstr_0(k6_group_3(A,B,C)) & m1_group_2(k6_group_3(A,B,C),A) ) ) )).
fof(dt_k6_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k6_group_4(A)) & m1_group_2(k6_group_4(A),A) ) ) )).
fof(dt_k6_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_subset_1(k6_group_5(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(k5_group_6(A,B))) ) => m1_subset_1(k6_group_6(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(C)) ) => m1_subset_1(k6_group_7(A,B,C,D,E,F),u1_struct_0(k2_group_7(k1_enumset1(1,2,3),k11_finseq_1(A,B,C)))) ) )).
fof(dt_k6_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k6_hahnban1(A,B,C,D)) & v1_funct_2(k6_hahnban1(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k6_hahnban1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k6_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k6_hermitan(A,B,C)) & v1_funct_2(k6_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)) & v1_bilinear(k6_hermitan(A,B,C),k1_complfld,A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_hermitan(k6_hermitan(A,B,C),A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & m1_subset_1(k6_hermitan(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k6_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => m1_subset_1(k6_heyting1(A,B),k5_finsub_1(k7_normform(A))) ) )).
fof(dt_k6_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) ) => m1_subset_1(k6_heyting2(A,B,C),k5_finsub_1(u1_struct_0(k5_substlat(A,B)))) ) )).
fof(dt_k6_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_funct_1(k6_hilbasis(A,B)) & v1_funct_2(k6_hilbasis(A,B),u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))) & m1_subset_1(k6_hilbasis(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))))) ) ) )).
fof(dt_k6_hilbert1,axiom,( m1_subset_1(k6_hilbert1,k1_zfmisc_1(k1_hilbert1)) )).
fof(dt_k6_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v3_trees_2(A) ) => v7_ordinal1(k6_huffman1(A)) ) )).
fof(dt_k6_hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k6_hurwitz(A,B,C)) & v1_funct_2(k6_hurwitz(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k6_hurwitz(A,B,C),A) & m1_subset_1(k6_hurwitz(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k6_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k6_idea_1(A,B)) ) )).
fof(dt_k6_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m3_ideal_1(D,A,B) & m3_ideal_1(E,A,C) ) => m3_ideal_1(k6_ideal_1(A,B,C,D,E),A,k4_subset_1(u1_struct_0(A),B,C)) ) )).
fof(dt_k6_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_index_1(C) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_funcop_1(D) ) => ( v2_index_1(k6_index_1(A,B,C,D),A,B) & v3_index_1(k6_index_1(A,B,C,D),A,B) & m1_index_1(k6_index_1(A,B,C,D),A,B) ) ) )).
fof(dt_k6_integr10,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k6_integr10(A)) & v1_funct_2(k6_integr10(A),k1_numbers,k1_numbers) & m1_subset_1(k6_integr10(A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k6_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m4_integr15(E,A,B,C,D) ) => ( v1_funct_1(k6_integr15(A,B,C,D,E)) & v1_funct_2(k6_integr15(A,B,C,D,E),k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(k6_integr15(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) ) )).
fof(dt_k6_integr16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => m1_subset_1(k6_integr16(A,B),k2_numbers) ) )).
fof(dt_k6_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_xreal_0(C) & v1_xreal_0(D) ) => m1_subset_1(k6_integr18(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k6_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => v1_xreal_0(k6_integra1(A,B,C)) ) )).
fof(dt_k6_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) ) => m1_subset_1(k6_interva1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k6_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => m1_subset_1(k6_intpro_1(A),k1_intpro_1) ) )).
fof(dt_k6_isocat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_cat_1(F,B,C) & m2_cat_1(G,B,C) & m2_nattra_1(H,A,B,D,E) & m2_nattra_1(I,B,C,F,G) ) => m2_nattra_1(k6_isocat_1(A,B,C,D,E,F,G,H,I),A,C,k9_cat_1(A,B,C,D,F),k9_cat_1(A,B,C,E,G)) ) )).
fof(dt_k6_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m2_cat_1(E,k6_cat_2(A,B),C) & m2_nattra_1(F,k6_cat_2(A,B),C,D,E) ) => m2_nattra_1(k6_isocat_2(A,B,C,D,E,F),A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) ) )).
fof(dt_k6_jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k6_jgraph_4(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k6_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => m1_subset_1(k6_jgraph_6(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k6_jordan,axiom,( v1_funct_1(k6_jordan) & v1_funct_2(k6_jordan,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(k6_jordan,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) )).
fof(dt_k6_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k6_jordan5d(A)) ) )).
fof(dt_k6_jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k6_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k6_knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => m1_subset_1(k6_knaster(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k6_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) ) => m1_subset_1(k6_kolmog01(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )).
fof(dt_k6_kurato_1,axiom,( m1_subset_1(k6_kurato_1,k1_zfmisc_1(u1_struct_0(k3_topmetr))) )).
fof(dt_k6_lang1,axiom,( ! [A] : ( v2_lang1(k6_lang1(A)) & l2_lang1(k6_lang1(A)) ) )).
fof(dt_k6_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),C,C) & m1_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => m1_subset_1(k6_laplace(A,B,C,D,E),u1_struct_0(D)) ) )).
fof(dt_k6_lattad_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_lattad_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_lattice3,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_partfun1(k6_lattice3(A,B),A) & v1_relat_2(k6_lattice3(A,B)) & v4_relat_2(k6_lattice3(A,B)) & v8_relat_2(k6_lattice3(A,B)) & m1_subset_1(k6_lattice3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k6_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) ) => ( v1_funct_1(k6_lattice5(A,B,C,D)) & v1_funct_2(k6_lattice5(A,B,C,D),k2_zfmisc_1(k5_lattice5(A),k5_lattice5(A)),u1_struct_0(B)) & m1_subset_1(k6_lattice5(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_lattice5(A),k5_lattice5(A)),u1_struct_0(B)))) ) ) )).
fof(dt_k6_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => m1_subset_1(k6_lattice6(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ( v1_funct_1(k6_lattice8(A,B,C,D,E)) & v1_funct_2(k6_lattice8(A,B,C,D,E),k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)) & m1_subset_1(k6_lattice8(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)))) ) ) )).
fof(dt_k6_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k6_latticea(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => m1_subset_1(k6_lattices(A),u1_struct_0(A)) ) )).
fof(dt_k6_lfuzzy_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(k6_lfuzzy_0(A,B),u1_struct_0(k4_lfuzzy_0(A))) ) )).
fof(dt_k6_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k6_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k6_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => m2_subset_1(k6_lopban_2(A),u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) ) )).
fof(dt_k6_lopban_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m1_subset_1(k6_lopban_3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_lopban_2(B) & l1_lopban_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k6_lopban_4(A,B,C,D)) & v1_funct_2(k6_lopban_4(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & m1_subset_1(k6_lopban_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k6_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k6_lopclset(A)) & v10_lattices(k6_lopclset(A)) & l3_lattices(k6_lopclset(A)) ) ) )).
fof(dt_k6_lpspacc1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & ~ v1_xboole_0(B) & v1_lpspacc1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k6_lpspacc1(A,B)) & v1_funct_2(k6_lpspacc1(A,B),k2_zfmisc_1(k2_numbers,B),B) & m1_subset_1(k6_lpspacc1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,B),B))) ) ) )).
fof(dt_k6_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_rfunct_3(k6_lpspace1(A),A,k1_numbers,k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k6_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v1_xboole_0(k6_lpspace2(A,B,C,D)) & m1_subset_1(k6_lpspace2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k1_lpspace2(A,B,C,D)))) ) ) )).
fof(dt_k6_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => m1_subset_1(k6_ltlaxio1(A),k1_hilbert1) ) )).
fof(dt_k6_ltlaxio3,axiom,( v1_funct_1(k6_ltlaxio3) & v1_funct_2(k6_ltlaxio3,k1_hilbert1,k9_setfam_1(k1_hilbert1)) & m1_subset_1(k6_ltlaxio3,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k9_setfam_1(k1_hilbert1)))) )).
fof(dt_k6_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => m1_subset_1(k6_ltlaxio4(A),k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) )).
fof(dt_k6_margrel1,axiom,( m1_subset_1(k6_margrel1,k5_margrel1) )).
fof(dt_k6_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k6_mathmorp(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_k6_matrix10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k6_matrix10(A,B,C)) & v2_matrix_0(k6_matrix10(A,B,C),k1_numbers,A,A) & m2_finseq_1(k6_matrix10(A,B,C),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k6_matrix12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v7_ordinal1(E) & v7_ordinal1(F) & m1_subset_1(G,u1_struct_0(C)) ) => ( v1_matrix_0(k6_matrix12(A,B,C,D,E,F,G)) & v2_matrix_0(k6_matrix12(A,B,C,D,E,F,G),u1_struct_0(C),A,B) & m2_finseq_1(k6_matrix12(A,B,C,D,E,F,G),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_k6_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( v1_matrix_0(k6_matrix13(A,B,C,D)) & v2_matrix_0(k6_matrix13(A,B,C,D),A,k4_card_1(C),k4_card_1(D)) & m2_finseq_1(k6_matrix13(A,B,C,D),k3_finseq_2(A)) ) ) )).
fof(dt_k6_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & m1_finseq_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_matrix15(A,B,C),k1_zfmisc_1(u1_struct_0(k6_prvect_1(A,k1_matrix_0(B))))) ) )).
fof(dt_k6_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => m2_finseq_1(k6_matrix_0(A,B,C),A) ) )).
fof(dt_k6_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_matrix_0(k6_matrix_3(A,B,C)) & m2_finseq_1(k6_matrix_3(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k6_matrix_5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k6_matrix_5(A,B)) & m2_finseq_1(k6_matrix_5(A,B),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k6_matrixc1,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) & m1_finseq_1(B,k2_numbers) ) => m2_finseq_1(k6_matrixc1(A,B),k2_numbers) ) )).
fof(dt_k6_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrixj1(k6_matrixj1(A,B,C),A) & m2_finseq_1(k6_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k6_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_matrixj2(C,A,B) & m1_matrixj2(D,A,B) ) => m1_matrixj2(k6_matrixj2(A,B,C,D),A,B) ) )).
fof(dt_k6_matrixr1,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k6_matrixr1(A,B)) & m2_finseq_1(k6_matrixr1(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k6_matrixr2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m2_finseq_1(k6_matrixr2(A,B),k1_numbers) ) )).
fof(dt_k6_matrlin,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => m2_finseq_1(k6_matrlin(A,B),u1_struct_0(A)) ) )).
fof(dt_k6_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v13_vectsp_1(F,C,D) & v1_mod_2(F,A,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k6_matrlin2(A,B,C,D,E,F)) & v1_funct_2(k6_matrlin2(A,B,C,D,E,F),u1_struct_0(B),u1_struct_0(D)) & v13_vectsp_1(k6_matrlin2(A,B,C,D,E,F),B,D) & v1_mod_2(k6_matrlin2(A,B,C,D,E,F),A,B,D) & m1_subset_1(k6_matrlin2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) ) )).
fof(dt_k6_matroid0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k6_matroid0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_matrprob,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,k1_numbers) & m1_finseq_1(B,k1_numbers) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k6_matrprob(A,B,C)) & m2_finseq_1(k6_matrprob(A,B,C),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k6_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => m1_subset_1(k6_mcart_1(A,B,C,D,E),C) ) )).
fof(dt_k6_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k6_measure6(A,B,C)) & m1_subset_1(k6_measure6(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k6_measure7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_measure7(B,A) ) => m1_subset_1(k6_measure7(A,B),k6_numbers) ) )).
fof(dt_k6_measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k6_measure8(A,B,C)) & v1_funct_2(k6_measure8(A,B,C),k9_setfam_1(A),k6_numbers) & m1_subset_1(k6_measure8(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k6_numbers))) ) ) )).
fof(dt_k6_member_1,axiom,( ! [A] : ( v2_membered(A) => v2_membered(k6_member_1(A)) ) )).
fof(dt_k6_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( v1_relat_1(k6_memstr_0(A,B,C)) & v4_relat_1(k6_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k6_memstr_0(A,B,C)) & v5_funct_1(k6_memstr_0(A,B,C),k2_memstr_0(A,B)) ) ) )).
fof(dt_k6_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k6_mesfun7c(A,B)) & m1_subset_1(k6_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k6_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_xreal_0(C) ) => ( v1_funct_1(k6_mesfunc1(A,B,C)) & m1_subset_1(k6_mesfunc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k6_mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => m1_subset_1(k6_mesfunc5(A,B,C,D),k6_numbers) ) )).
fof(dt_k6_mesfunc8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k6_mesfunc8(A,B)) & m1_subset_1(k6_mesfunc8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k6_mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_subset_1(E,B) ) => ( v1_funct_1(k6_mesfunc9(A,B,C,D,E)) & v1_funct_2(k6_mesfunc9(A,B,C,D,E),A,C) & m1_subset_1(k6_mesfunc9(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,C))) ) ) )).
fof(dt_k6_metric_1,axiom,( v1_funct_1(k6_metric_1) & v1_funct_2(k6_metric_1,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(k6_metric_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) )).
fof(dt_k6_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => m1_subset_1(k6_metric_2(A),k1_zfmisc_1(k2_metric_2(A))) ) )).
fof(dt_k6_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => m1_midsp_1(k6_midsp_1(A),A) ) )).
fof(dt_k6_midsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_midsp_2(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v1_funct_1(k6_midsp_2(A,B,C)) & v1_funct_2(k6_midsp_2(A,B,C),k2_zfmisc_1(A,A),A) & m1_subset_1(k6_midsp_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) ) )).
fof(dt_k6_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & m1_subset_1(C,k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) ) => m2_finseq_2(k6_midsp_3(A,B,C,D,E),u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) ) )).
fof(dt_k6_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k6_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k6_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v2_mod_2(k6_mod_2(A,B),A) & m1_mod_2(k6_mod_2(A,B),A,B,B) ) ) )).
fof(dt_k6_mod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_2(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))) ) => ( v1_funct_1(k6_mod_4(A,B,C)) & v1_funct_2(k6_mod_4(A,B,C),k2_zfmisc_1(u1_struct_0(k2_mod_4(A)),u1_struct_0(k5_mod_4(A,B))),u1_struct_0(k5_mod_4(A,B))) & m1_subset_1(k6_mod_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_mod_4(A)),u1_struct_0(k5_mod_4(A,B))),u1_struct_0(k5_mod_4(A,B))))) ) ) )).
fof(dt_k6_modal_1,axiom,( m1_trees_3(k6_modal_1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) )).
fof(dt_k6_modcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) & m1_subset_1(C,k4_modcat_1(A,B)) ) => m2_modcat_1(k6_modcat_1(A,B,C),A,B) ) )).
fof(dt_k6_modelc_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => m2_finseq_1(k6_modelc_1(A),k4_ordinal1) ) )).
fof(dt_k6_modelc_2,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k6_modelc_2(A),k4_ordinal1) ) )).
fof(dt_k6_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & l1_modelc_3(B,A) & v1_modelc_2(C) & m1_finseq_1(C,k4_ordinal1) ) => ( v1_modelc_3(k6_modelc_3(A,B,C),A) & l1_modelc_3(k6_modelc_3(A,B,C),A) ) ) )).
fof(dt_k6_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => m1_subset_1(k6_moebius1(A),k4_ordinal1) ) )).
fof(dt_k6_monoid_0,axiom,( ~ v2_struct_0(k6_monoid_0) & v15_algstr_0(k6_monoid_0) & v1_group_1(k6_monoid_0) & v3_group_1(k6_monoid_0) & v5_group_1(k6_monoid_0) & l3_algstr_0(k6_monoid_0) )).
fof(dt_k6_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) & m1_subset_1(F,B) & v1_funct_1(G) & v1_funct_2(G,A,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => m2_funct_2(k6_monoid_1(A,B,C,D,E,F,G),A,D,k9_funct_2(A,D)) ) )).
fof(dt_k6_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m1_subset_1(k6_msafree(A,B,C),u1_struct_0(k5_msafree(A,B))) ) )).
fof(dt_k6_msafree2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => m2_pboole(k6_msafree2(A,B),u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,B)) ) )).
fof(dt_k6_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & v1_relat_1(D) & v1_funct_1(D) ) => m1_subset_1(k6_msafree4(A,B,C,D),k3_card_3(u3_msualg_1(A,k3_equation(A)))) ) )).
fof(dt_k6_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) ) => m1_msafree4(k6_msafree5(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),C)) ) )).
fof(dt_k6_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k7_dtconstr(k5_msafree(A,B))) & m1_msaterm(D,A,B,C) ) => m1_dtconstr(k6_msaterm(A,B,C,D),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) )).
fof(dt_k6_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v7_struct_0(k6_msualg_1(A)) & ~ v11_struct_0(k6_msualg_1(A)) & v1_msualg_1(k6_msualg_1(A)) & v5_msualg_1(k6_msualg_1(A)) & l1_msualg_1(k6_msualg_1(A)) ) ) )).
fof(dt_k6_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) => ( v3_msualg_1(k6_msualg_3(A,B,C,D),A) & v4_msualg_1(k6_msualg_3(A,B,C,D),A) & m1_msualg_2(k6_msualg_3(A,B,C,D),A,C) ) ) )).
fof(dt_k6_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) & m1_subset_1(E,k3_msualg_1(A,B,C)) ) => m1_subset_1(k6_msualg_4(A,B,C,D,E),k4_card_3(k3_relat_1(k1_msualg_1(A,B),k4_msualg_4(A,C,D)))) ) )).
fof(dt_k6_msualg_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v3_lattices(k6_msualg_5(A,B)) & m2_nat_lat(k6_msualg_5(A,B),k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))) ) ) )).
fof(dt_k6_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v3_msualg_6(k6_msualg_6(A,B,C),A,B) & m1_msualg_4(k6_msualg_6(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k6_mycielsk,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_mycielsk(B,A) ) => m1_mycielsk(k6_mycielsk(A,B),k2_xcmplx_0(k3_xcmplx_0(2,A),1)) ) )).
fof(dt_k6_nat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v7_ordinal1(B) ) => ( v1_relat_1(k6_nat_1(A,B)) & v4_relat_1(k6_nat_1(A,B),k4_ordinal1) & v1_funct_1(k6_nat_1(A,B)) & v1_partfun1(k6_nat_1(A,B),k4_ordinal1) ) ) )).
fof(dt_k6_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) ) => ( v1_relat_1(k6_nat_3(A,B,C)) & v4_relat_1(k6_nat_3(A,B,C),A) & v1_funct_1(k6_nat_3(A,B,C)) & v1_partfun1(k6_nat_3(A,B,C),A) ) ) )).
fof(dt_k6_nat_5,axiom,( v1_funct_1(k6_nat_5) & v1_funct_2(k6_nat_5,k4_ordinal1,k4_ordinal1) & m1_subset_1(k6_nat_5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) )).
fof(dt_k6_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k6_nat_d(A,B),k4_ordinal1) ) )).
fof(dt_k6_nat_lat,axiom,( m1_subset_1(k6_nat_lat,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k6_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m1_nattra_1(E,A,B,C,D) ) => m1_nattra_1(k6_nattra_1(A,B,C,D,E),A,B,D,C) ) )).
fof(dt_k6_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ( v1_funct_1(k6_ndiff_5(A,B,C,D,E)) & m1_subset_1(k6_ndiff_5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B))))) ) ) )).
fof(dt_k6_ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(E) ) => ( v1_funct_1(k6_ndiff_6(A,B,C,D,E)) & m1_subset_1(k6_ndiff_6(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,E))))) ) ) )).
fof(dt_k6_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) ) => m1_subset_1(k6_ndiff_7(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k6_newton,axiom,( ! [A] : ( v7_ordinal1(A) => m2_finseq_1(k6_newton(A),k1_numbers) ) )).
fof(dt_k6_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B))))) ) => m1_subset_1(k6_normform(A,B,C,D),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B))) ) )).
fof(dt_k6_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k6_openlatt(A)) & v10_lattices(k6_openlatt(A)) & l3_lattices(k6_openlatt(A)) ) ) )).
fof(dt_k6_oppcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(k2_oppcat_1(A))) ) => m1_subset_1(k6_oppcat_1(A,B),u4_struct_0(A)) ) )).
fof(dt_k6_ordeq_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k4_real_ns1(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A))))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( v1_funct_1(k6_ordeq_01(A,B,C,D,E)) & v1_funct_2(k6_ordeq_01(A,B,C,D,E),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A)))) & m1_subset_1(k6_ordeq_01(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(D,E),k4_real_ns1(A)))))) ) ) )).
fof(dt_k6_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k6_ordinal3(A,B)) ) )).
fof(dt_k6_ordinal4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) ) => ( v3_ordinal1(k6_ordinal4(A,B)) & ~ v1_xboole_0(k6_ordinal4(A,B)) & m1_subset_1(k6_ordinal4(A,B),A) ) ) )).
fof(dt_k6_ordinal6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) ) => ( v1_funct_1(k6_ordinal6(A,B)) & v1_funct_2(k6_ordinal6(A,B),k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(k6_ordinal6(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) )).
fof(dt_k6_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( v1_funct_1(k6_osafree(A,B,C)) & v1_funct_2(k6_osafree(A,B,C),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k5_osafree(A,B)),C)) & m1_subset_1(k6_osafree(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k5_osafree(A,B)),C)))) ) ) )).
fof(dt_k6_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) ) => ( v3_msualg_1(k6_osalg_1(A,B,C),A) & v12_osalg_1(k6_osalg_1(A,B,C),A) & l3_msualg_1(k6_osalg_1(A,B,C),A) ) ) )).
fof(dt_k6_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k6_osalg_4(A,B,C,D),k1_zfmisc_1(k8_eqrel_1(k4_osalg_4(A,u3_msualg_1(A,B),k3_osalg_4(A,D)),k5_osalg_4(A,B,C,k3_osalg_4(A,D))))) ) )).
fof(dt_k6_partfun1,axiom,( ! [A] : ( v1_partfun1(k6_partfun1(A),A) & m1_subset_1(k6_partfun1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k6_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_eqrel_1(k6_partit1(A),A) ) )).
fof(dt_k6_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k6_pboole(A,B,C)) & v4_relat_1(k6_pboole(A,B,C),A) & v1_funct_1(k6_pboole(A,B,C)) & v1_partfun1(k6_pboole(A,B,C),A) ) ) )).
fof(dt_k6_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) & m1_subset_1(C,A) ) => l1_pcs_0(k6_pcs_0(A,B,C)) ) )).
fof(dt_k6_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m1_subset_1(C,k1_euclid(A)) ) => ( v1_funct_1(k6_pdiff_1(A,B,C)) & v1_funct_2(k6_pdiff_1(A,B,C),k1_numbers,k1_euclid(A)) & m1_subset_1(k6_pdiff_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) ) )).
fof(dt_k6_pdiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) & m1_subset_1(C,k1_euclid(3)) ) => v1_xreal_0(k6_pdiff_4(A,B,C)) ) )).
fof(dt_k6_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k6_pdiff_5(A,B)) ) )).
fof(dt_k6_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(k6_pencil_4(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k2_vectsp_9(A,B,C)))) ) )).
fof(dt_k6_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k6_petri(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k6_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_petri_2(A),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) => m1_subset_1(k6_petri_3(A,B,C),k4_ordinal1) ) )).
fof(dt_k6_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k4_petri_df(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m2_funct_2(k6_petri_df(A,B,C),u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) ) )).
fof(dt_k6_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & m1_pnproc_1(C,A) ) => ( v1_funct_1(k6_pnproc_1(A,B,C)) & v1_funct_2(k6_pnproc_1(A,B,C),A,k4_ordinal1) & m1_subset_1(k6_pnproc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) )).
fof(dt_k6_polyeq_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => v1_xcmplx_0(k6_polyeq_5(A,B,C,D)) ) )).
fof(dt_k6_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => m2_funct_2(k6_polyform(A,B),k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(B,1)),k5_polyform(A,B)),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)),k9_funct_2(k2_zfmisc_1(k5_polyform(A,k6_xcmplx_0(B,1)),k5_polyform(A,B)),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)))) ) )).
fof(dt_k6_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k6_polynom1(A,B,C,D)) & v1_funct_2(k6_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k6_polynom1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k6_polynom3,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => m2_finseq_1(k6_polynom3(A,B),k4_finseq_2(A,k4_ordinal1)) ) )).
fof(dt_k6_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k6_polynom5(A,B,C)) & v1_funct_2(k6_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k6_polynom5(A,B,C),A) & m1_subset_1(k6_polynom5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k6_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l5_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k6_polynom7(A,B,C,D)) & v1_funct_2(k6_polynom7(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k6_polynom7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k6_polynom8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_matrix_0(k6_polynom8(A,B,C)) & v2_matrix_0(k6_polynom8(A,B,C),u1_struct_0(A),B,B) & m2_finseq_1(k6_polynom8(A,B,C),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(dt_k6_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k6_poset_1(A,B)) & v1_orders_2(k6_poset_1(A,B)) & v3_orders_2(k6_poset_1(A,B)) & v4_orders_2(k6_poset_1(A,B)) & v5_orders_2(k6_poset_1(A,B)) & l1_orders_2(k6_poset_1(A,B)) ) ) )).
fof(dt_k6_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k6_poset_2(A,B,C)) & v1_funct_2(k6_poset_2(A,B,C),u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & m1_subset_1(k6_poset_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) ) )).
fof(dt_k6_pralg_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k6_pralg_1(A,B)) & v1_funct_2(k6_pralg_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & m1_subset_1(k6_pralg_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)))) ) ) )).
fof(dt_k6_prefer_1,axiom,( ! [A] : ( l2_prefer_1(A) => m1_subset_1(k6_prefer_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k6_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_prelamb(A,B,C),k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A))) ) )).
fof(dt_k6_prepower,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k6_prepower(A,B)) ) )).
fof(dt_k6_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => m1_prob_1(k6_prob_1(A,B,C,D),A,B) ) )).
fof(dt_k6_prob_3,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k9_setfam_1(A)) => m2_finseq_1(k6_prob_3(A,B),k9_setfam_1(A)) ) )).
fof(dt_k6_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & m1_subset_1(D,k4_prob_4(A,B,C)) ) => ( ~ v1_xboole_0(k6_prob_4(A,B,C,D)) & m1_subset_1(k6_prob_4(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k6_prvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v7_vectsp_1(k6_prvect_1(A,B),A) & l1_vectsp_1(k6_prvect_1(A,B),A) ) ) )).
fof(dt_k6_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => m1_prvect_1(k6_prvect_2(A),k4_prvect_2(A)) ) )).
fof(dt_k6_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( v1_funct_1(k6_prvect_3(A,B)) & v1_funct_2(k6_prvect_3(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers) & m1_subset_1(k6_prvect_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers))) ) ) )).
fof(dt_k6_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k6_pscomp_1(A)) ) )).
fof(dt_k6_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m1_subset_1(k6_pua2mss1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k6_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k9_qc_lang1(A)) ) => m1_subset_1(k6_qc_lang2(A,B,C,D),k9_qc_lang1(A)) ) )).
fof(dt_k6_qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k6_qc_lang3(A,B),k1_zfmisc_1(k4_qc_lang1(A))) ) )).
fof(dt_k6_qmax_1,axiom,( ! [A] : ! [B] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) ) => m1_subset_1(k6_qmax_1(A,B),k2_qmax_1(A)) ) )).
fof(dt_k6_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => v1_quaterni(k6_quatern2(A)) ) )).
fof(dt_k6_quofield,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) ) => m1_subset_1(k6_quofield(A,B),k1_zfmisc_1(k1_quofield(A))) ) )).
fof(dt_k6_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m1_finseq_1(D,k3_radix_1(B)) ) => m1_subset_1(k6_radix_1(A,B,C,D),k4_numbers) ) )).
fof(dt_k6_radix_3,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v7_ordinal1(B) ) => v1_int_1(k6_radix_3(A,B)) ) )).
fof(dt_k6_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v3_card_1(k6_radix_5(A,B,C),A) & m2_finseq_1(k6_radix_5(A,B,C),k3_radix_1(C)) ) ) )).
fof(dt_k6_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,2)) & m1_finseq_1(C,k3_radix_1(B)) ) => ( v3_card_1(k6_radix_6(A,B,C),k2_xcmplx_0(A,2)) & m2_finseq_1(k6_radix_6(A,B,C),k3_radix_1(B)) ) ) )).
fof(dt_k6_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => m1_random_1(k6_random_1(A,B,C,D),A,B) ) )).
fof(dt_k6_random_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m2_prob_1(k6_random_3(A,B,C),A,B) ) )).
fof(dt_k6_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => m2_vectsp_6(k6_ranknull(A,B,C,D),A,B,D) ) )).
fof(dt_k6_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) ) => m1_ratfunc1(k6_ratfunc1(A,B),A) ) )).
fof(dt_k6_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => m1_subset_1(k6_real_1(A,B),k1_numbers) ) )).
fof(dt_k6_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k6_real_3(A)) & v1_funct_2(k6_real_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k6_real_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k6_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k6_real_lat(A)) & v3_lattices(k6_real_lat(A)) & l3_lattices(k6_real_lat(A)) ) ) )).
fof(dt_k6_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k6_real_ns1(A)) & v1_funct_2(k6_real_ns1(A),k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers) & m1_subset_1(k6_real_ns1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_numbers))) ) ) )).
fof(dt_k6_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => v1_relat_1(k6_relat_1(A,B)) ) )).
fof(dt_k6_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k6_relset_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )).
fof(dt_k6_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(k6_relset_2(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k6_rewrite2,axiom,( ! [A] : m1_subset_1(k6_rewrite2(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) )).
fof(dt_k6_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => ( v7_valued_0(k6_rfinseq2(A)) & m2_finseq_1(k6_rfinseq2(A),k1_numbers) ) ) )).
fof(dt_k6_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k6_rfunct_1(A,B,C)) & m1_subset_1(k6_rfunct_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k6_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => v1_xreal_0(k6_rinfsup1(A)) ) )).
fof(dt_k6_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => m1_subset_1(k6_rinfsup2(A),k6_numbers) ) )).
fof(dt_k6_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k6_ring_2(A,B,C)) & v1_funct_2(k6_ring_2(A,B,C),u1_struct_0(k2_ring_1(A,k8_vectsp10(A,B,C))),u1_struct_0(k5_ring_2(A,B,C))) & m1_subset_1(k6_ring_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_ring_1(A,k8_vectsp10(A,B,C))),u1_struct_0(k5_ring_2(A,B,C))))) ) ) )).
fof(dt_k6_ringcat1,axiom,( ! [A] : ! [B] : ( ( v3_ringcat1(A) & l1_ringcat1(A) & v3_ringcat1(B) & l1_ringcat1(B) ) => ( v2_ringcat1(k6_ringcat1(A,B)) & v3_ringcat1(k6_ringcat1(A,B)) & l1_ringcat1(k6_ringcat1(A,B)) ) ) )).
fof(dt_k6_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k6_rlsub_2(A)) & v1_funct_2(k6_rlsub_2(A),k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)) & m1_subset_1(k6_rlsub_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rlsub_2(A),k3_rlsub_2(A)),k3_rlsub_2(A)))) ) ) )).
fof(dt_k6_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) ) => m1_subset_1(k6_rlvect_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k6_rmod_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ( v1_funct_1(k6_rmod_3(A,B)) & v1_funct_2(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m1_subset_1(k6_rmod_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)))) ) ) )).
fof(dt_k6_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) ) => m1_rmod_4(k6_rmod_4(A,B,C,D),A,B) ) )).
fof(dt_k6_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_robbins1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k6_roughs_1(A,B)) & v1_funct_2(k6_roughs_1(A,B),u1_struct_0(A),k1_numbers) & m1_subset_1(k6_roughs_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(dt_k6_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k6_roughs_2(A)) & v1_funct_2(k6_roughs_2(A),k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k6_roughs_2(A),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k6_rsspace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k6_rsspace(A,B)) & v1_funct_2(k6_rsspace(A,B),k2_zfmisc_1(k1_numbers,B),B) & m1_subset_1(k6_rsspace(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,B),B))) ) ) )).
fof(dt_k6_rsspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k6_rsspace4(A,B,C)) & v1_funct_2(k6_rsspace4(A,B,C),A,u1_struct_0(B)) & v1_rsspace4(k6_rsspace4(A,B,C),A,B) & m1_subset_1(k6_rsspace4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k6_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v1_funct_1(k6_rusub_2(A)) & v1_funct_2(k6_rusub_2(A),k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)) & m1_subset_1(k6_rusub_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rusub_2(A),k3_rusub_2(A)),k3_rusub_2(A)))) ) ) )).
fof(dt_k6_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k6_rusub_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m2_finseq_1(k6_rvsum_1(A),k1_numbers) ) )).
fof(dt_k6_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) ) => m2_finseq_2(k6_rvsum_2(A,B),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k6_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m1_subset_1(k6_rvsum_3(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k6_scm_comp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_dtconstr(k1_scm_comp)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) ) => m1_dtconstr(k6_scm_comp(A,B),u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) ) )).
fof(dt_k6_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => v7_ordinal1(k6_scm_inst(A)) ) )).
fof(dt_k6_scmfsa_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) & v7_ordinal1(B) ) => m1_subset_1(k6_scmfsa_1(A,B),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) ) )).
fof(dt_k6_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k6_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k6_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => m1_subset_1(k6_scmfsa_i(A),k2_scm_inst) ) )).
fof(dt_k6_scmfsa_m,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k6_scmfsa_m(A,B,C),k1_zfmisc_1(k2_scmfsa_2)) ) )).
fof(dt_k6_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k6_scmfsa_x(A,B)) & v4_relat_1(k6_scmfsa_x(A,B),k4_ordinal1) & v5_relat_1(k6_scmfsa_x(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k6_scmfsa_x(A,B)) & v1_funct_1(k6_scmfsa_x(A,B)) & v1_finset_1(k6_scmfsa_x(A,B)) & v1_afinsq_1(k6_scmfsa_x(A,B)) ) ) )).
fof(dt_k6_scmpds_1,axiom,( v1_funct_1(k6_scmpds_1) & v1_funct_2(k6_scmpds_1,k1_scmpds_i,k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)))) & m1_subset_1(k6_scmpds_1,k1_zfmisc_1(k2_zfmisc_1(k1_scmpds_i,k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)))))) )).
fof(dt_k6_scmpds_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => m1_subset_1(k6_scmpds_2(A,B),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k6_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( v1_relat_1(k6_scmpds_4(A,B,C)) & v4_relat_1(k6_scmpds_4(A,B,C),u1_struct_0(k1_scmpds_2)) & v1_funct_1(k6_scmpds_4(A,B,C)) & v5_funct_1(k6_scmpds_4(A,B,C),k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(k6_scmpds_4(A,B,C),u1_struct_0(k1_scmpds_2)) ) ) )).
fof(dt_k6_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( v1_relat_1(k6_scmpds_6(A,B,C)) & v4_relat_1(k6_scmpds_6(A,B,C),k4_ordinal1) & v5_relat_1(k6_scmpds_6(A,B,C),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k6_scmpds_6(A,B,C)) & v1_funct_1(k6_scmpds_6(A,B,C)) & v1_finset_1(k6_scmpds_6(A,B,C)) & v1_afinsq_1(k6_scmpds_6(A,B,C)) ) ) )).
fof(dt_k6_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => v1_int_1(k6_scmpds_i(A)) ) )).
fof(dt_k6_scmring1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k2_ami_2) & m1_subset_1(C,u1_struct_0(A)) ) => m2_finseq_1(k6_scmring1(A,B,C),k2_xboole_0(k2_ami_2,u1_struct_0(A))) ) )).
fof(dt_k6_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => m1_subset_1(k6_scmring2(A,B,C),u1_compos_1(k1_scmring2(A))) ) )).
fof(dt_k6_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_scmringi(A)) ) => m1_subset_1(k6_scmringi(A,B),k2_scm_inst) ) )).
fof(dt_k6_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => v4_scmyciel(k6_scmyciel(A)) ) )).
fof(dt_k6_seq_4,axiom,( v1_funct_1(k6_seq_4) & v1_funct_2(k6_seq_4,k2_numbers,k1_numbers) & m1_subset_1(k6_seq_4,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k1_numbers))) )).
fof(dt_k6_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k6_seqfunc(A,B,C)) & v1_funct_2(k6_seqfunc(A,B,C),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k6_seqfunc(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k6_series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => v1_xreal_0(k6_series_1(A,B)) ) )).
fof(dt_k6_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k6_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k6_setlim_1(A,B,C),B) & v1_funct_1(k6_setlim_1(A,B,C)) & v1_funct_2(k6_setlim_1(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k6_setlim_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k6_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_funct_1(k6_setlim_2(A,B,C)) & v1_funct_2(k6_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k6_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k6_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => m1_subset_1(k6_setwiseo(A,B,C),k5_finsub_1(A)) ) )).
fof(dt_k6_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(k6_sf_mastr(A),k1_zfmisc_1(k3_scmfsa_2)) ) )).
fof(dt_k6_sheffer1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_sheffer1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k6_sheffer1(A,B),u1_struct_0(A)) ) )).
fof(dt_k6_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => v1_xxreal_0(k6_simplex0(A)) ) )).
fof(dt_k6_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k6_sin_cos(A)) & v1_funct_2(k6_sin_cos(A),k4_ordinal1,k2_numbers) & m1_subset_1(k6_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k6_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k6_sin_cos7(A)) ) )).
fof(dt_k6_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(k6_stacks_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k6_struct_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v1_funct_1(k6_struct_0(A,B,C)) & v1_funct_2(k6_struct_0(A,B,C),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k6_struct_0(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k6_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) & m1_subset_1(C,k38_substut1(A)) ) => m2_subset_1(k6_sublemma(A,B,C),k16_substut1(A),k38_substut1(A)) ) )).
fof(dt_k6_subset_1,axiom,( ! [A] : ! [B] : m1_subset_1(k6_subset_1(A,B),k1_zfmisc_1(A)) )).
fof(dt_k6_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_substut1(A)) ) => m1_subset_1(k6_substut1(A,B,C),k1_substut1(A)) ) )).
fof(dt_k6_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v1_funct_1(k6_substut2(A)) & v1_funct_2(k6_substut2(A),k38_substut1(A),k1_substut1(A)) & m1_subset_1(k6_substut2(A),k1_zfmisc_1(k2_zfmisc_1(k38_substut1(A),k1_substut1(A)))) ) ) )).
fof(dt_k6_supinf_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k6_numbers))) ) => v2_membered(k6_supinf_1(A)) ) )).
fof(dt_k6_supinf_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k6_numbers)) => m1_subset_1(k6_supinf_2(A),k1_zfmisc_1(k6_numbers)) ) )).
fof(dt_k6_taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( v1_funct_1(k6_taylor_1(A,B,C,D)) & v1_funct_2(k6_taylor_1(A,B,C,D),k4_ordinal1,k1_numbers) & m1_subset_1(k6_taylor_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k6_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k6_tdlat_1(A)) & v1_funct_2(k6_tdlat_1(A),k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)) & m1_subset_1(k6_tdlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)))) ) ) )).
fof(dt_k6_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k6_termord(A,B,C,D)) & v1_funct_2(k6_termord(A,B,C,D),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k6_termord(A,B,C,D),C) & m1_subset_1(k6_termord(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) )).
fof(dt_k6_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k6_tex_4(A,B)) & m1_pre_topc(k6_tex_4(A,B),A) ) ) )).
fof(dt_k6_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k6_tmap_1(A,B)) & v2_pre_topc(k6_tmap_1(A,B)) & l1_pre_topc(k6_tmap_1(A,B)) ) ) )).
fof(dt_k6_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) ) => ( v1_funct_1(k6_topalg_1(A,B,C,D)) & v1_funct_2(k6_topalg_1(A,B,C,D),u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(A,B))) & m1_subset_1(k6_topalg_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(A,B))))) ) ) )).
fof(dt_k6_topalg_5,axiom,( ! [A] : ( v1_int_1(A) => m1_borsuk_2(k6_topalg_5(A),k8_toprealb(2),k9_toprealb,k9_toprealb) ) )).
fof(dt_k6_topalg_6,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_finseq_1(B,k1_topalg_6(A)) ) => m2_subset_1(k6_topalg_6(A,B),k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) )).
fof(dt_k6_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) ) => ( v1_funct_1(k6_topalg_7(A,B,C)) & v1_funct_2(k6_topalg_7(A,B,C),u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(k6_topalg_7(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) ) )).
fof(dt_k6_topgen_3,axiom,( ! [A] : ! [B] : ( v1_pre_topc(k6_topgen_3(A,B)) & v2_pre_topc(k6_topgen_3(A,B)) & l1_pre_topc(k6_topgen_3(A,B)) ) )).
fof(dt_k6_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m3_topgrp_1(k6_topgrp_1(A,B),A) ) )).
fof(dt_k6_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(k6_topreal1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k6_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k6_toprealb(A)) & v1_funct_2(k6_toprealb(A),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,A)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,A))))) & m1_subset_1(k6_toprealb(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,A)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,A))))))) ) ) )).
fof(dt_k6_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k6_toprealc(A,B,C),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k6_toprns_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => m1_subset_1(k6_toprns_1(A,B),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k6_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => v7_ordinal1(k6_trees_1(A)) ) )).
fof(dt_k6_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => m1_subset_1(k6_trees_2(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k6_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k6_trees_3(A,B)) & v1_funct_2(k6_trees_3(A,B),k2_zfmisc_1(A,B),A) & m1_subset_1(k6_trees_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),A))) ) ) )).
fof(dt_k6_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k6_trees_4(A,B,C)) & v1_funct_1(k6_trees_4(A,B,C)) & v3_trees_2(k6_trees_4(A,B,C)) ) ) )).
fof(dt_k6_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => m1_subset_1(k6_trees_9(A),k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A),k3_trees_9(A)))) ) )).
fof(dt_k6_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) => v1_int_1(k6_turing_1(A,B)) ) )).
fof(dt_k6_twoscomp,axiom,( v1_funct_1(k6_twoscomp) & v1_funct_2(k6_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k6_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k6_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m1_subset_1(k6_unialg_2(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v1_uproots(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k6_uproots(A,B,C),k4_ordinal1) ) )).
fof(dt_k6_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)))) & m1_subset_1(D,k3_cqc_lang(A)) ) => m2_funct_2(k6_valuat_1(A,B,C,D),k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) )).
fof(dt_k6_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( ~ v2_struct_0(k6_vectsp10(A,B,C)) & v13_algstr_0(k6_vectsp10(A,B,C)) & v2_rlvect_1(k6_vectsp10(A,B,C)) & v3_rlvect_1(k6_vectsp10(A,B,C)) & v4_rlvect_1(k6_vectsp10(A,B,C)) & v7_vectsp_1(k6_vectsp10(A,B,C),A) & v8_vectsp_1(k6_vectsp10(A,B,C),A) & v9_vectsp_1(k6_vectsp10(A,B,C),A) & v10_vectsp_1(k6_vectsp10(A,B,C),A) & v11_vectsp_1(k6_vectsp10(A,B,C),A) & l1_vectsp_1(k6_vectsp10(A,B,C),A) ) ) )).
fof(dt_k6_vectsp_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k6_vectsp_5(A,B)) & v1_funct_2(k6_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m1_subset_1(k6_vectsp_5(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)))) ) ) )).
fof(dt_k6_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_vectsp_6(D,A,B) ) => m1_vectsp_6(k6_vectsp_6(A,B,C,D),A,B) ) )).
fof(dt_k6_vectsp_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k6_vectsp_8(A,B,C,D)) & v1_funct_2(k6_vectsp_8(A,B,C,D),u1_struct_0(k1_vectsp_8(A,B)),u1_struct_0(k1_vectsp_8(A,C))) & m1_subset_1(k6_vectsp_8(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_vectsp_8(A,B)),u1_struct_0(k1_vectsp_8(A,C))))) ) ) )).
fof(dt_k6_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k6_vfunct_1(A,B,C,D)) & m1_subset_1(k6_vfunct_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) )).
fof(dt_k6_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k6_vsdiff_1(A,B,C,D,E,F)) & m1_subset_1(k6_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) ) )).
fof(dt_k6_waybel10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_yellow_0(B,A) ) => ( v1_funct_1(k6_waybel10(A,B)) & v1_funct_2(k6_waybel10(A,B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k6_waybel10(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k6_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & m1_subset_1(C,A) ) => ( v1_funct_1(k6_waybel18(A,B,C)) & v1_funct_2(k6_waybel18(A,B,C),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C))) & m1_subset_1(k6_waybel18(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C))))) ) ) )).
fof(dt_k6_waybel26,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => ( v1_relat_1(k6_waybel26(A,B)) & v1_funct_1(k6_waybel26(A,B)) ) ) )).
fof(dt_k6_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) & m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ) )).
fof(dt_k6_waybel35,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k6_waybel35(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k6_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k6_waybel_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k6_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k6_waybel_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k6_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => m2_pboole(k6_waybel_5(A,B,C,D),A,k7_funcop_1(A,B),k7_funcop_1(A,C)) ) )).
fof(dt_k6_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & l1_waybel_0(D,A) ) => ( v6_waybel_0(k6_waybel_9(A,B,C,D),B) & l1_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) )).
fof(dt_k6_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k6_weddwitt(A)) & v13_algstr_0(k6_weddwitt(A)) & v2_rlvect_1(k6_weddwitt(A)) & v3_rlvect_1(k6_weddwitt(A)) & v4_rlvect_1(k6_weddwitt(A)) & v7_vectsp_1(k6_weddwitt(A),k4_weddwitt(A)) & v8_vectsp_1(k6_weddwitt(A),k4_weddwitt(A)) & v9_vectsp_1(k6_weddwitt(A),k4_weddwitt(A)) & v10_vectsp_1(k6_weddwitt(A),k4_weddwitt(A)) & v11_vectsp_1(k6_weddwitt(A),k4_weddwitt(A)) & l1_vectsp_1(k6_weddwitt(A),k4_weddwitt(A)) ) ) )).
fof(dt_k6_weierstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( v1_funct_1(k6_weierstr(A,B)) & v1_funct_2(k6_weierstr(A,B),u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k6_weierstr(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(dt_k6_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k6_xxreal_3(A,B)) ) )).
fof(dt_k6_yellow21,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k6_yellow21(A)) & v2_altcat_1(k6_yellow21(A)) & v6_altcat_1(k6_yellow21(A)) & v11_altcat_1(k6_yellow21(A)) & v12_altcat_1(k6_yellow21(A)) & v2_yellow21(k6_yellow21(A)) & l2_altcat_1(k6_yellow21(A)) ) ) )).
fof(dt_k6_yellow_1,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ( v1_orders_2(k6_yellow_1(A,B)) & v4_yellow_0(k6_yellow_1(A,B),k5_yellow_1(u1_struct_0(A),B)) & m1_yellow_0(k6_yellow_1(A,B),k5_yellow_1(u1_struct_0(A),B)) ) ) )).
fof(dt_k6_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k6_yellow_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) )).
fof(dt_k6_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & l1_struct_0(B) & m3_yellow_6(C,A,B) & m1_subset_1(D,A) ) => ( ~ v2_struct_0(k6_yellow_6(A,B,C,D)) & v4_orders_2(k6_yellow_6(A,B,C,D)) & v7_waybel_0(k6_yellow_6(A,B,C,D)) & l1_waybel_0(k6_yellow_6(A,B,C,D),B) ) ) )).
fof(dt_k6_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k6_zf_lang(A,B),k4_ordinal1) ) )).
fof(dt_k6_zf_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zf_lang) & m1_subset_1(C,k1_zf_lang) ) => ( v1_zf_lang(k6_zf_lang1(A,B,C)) & m2_finseq_1(k6_zf_lang1(A,B,C),k4_ordinal1) ) ) )).
fof(dt_k6_zf_model,axiom,( v1_zf_lang(k6_zf_model) & m2_finseq_1(k6_zf_model,k4_ordinal1) )).
fof(dt_k6_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k6_zmodul01(A,B,C)) & m1_zmodul01(k6_zmodul01(A,B,C),A) ) ) )).
fof(dt_k6_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ( ~ v1_xboole_0(k6_zmodul02(A,B)) & m1_subset_1(k6_zmodul02(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_k6_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_funct_1(k6_zmodul04(A)) & v1_funct_2(k6_zmodul04(A),u1_struct_0(A),u1_struct_0(k5_zmodul04(A))) & m1_subset_1(k6_zmodul04(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A))))) ) ) )).
fof(dt_k6_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul02(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_zmodul05(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_relat_1(k6_zmodul05(A,B,C,D,E)) & v5_relat_1(k6_zmodul05(A,B,C,D,E),k4_numbers) & v1_funct_1(k6_zmodul05(A,B,C,D,E)) & v1_finseq_1(k6_zmodul05(A,B,C,D,E)) ) ) )).
fof(dt_k70_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( v1_funct_1(k70_valued_2(A,B,C,D)) & m1_subset_1(k70_valued_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,k9_xtuple_0(D)),k6_valued_2(k1_valued_2(B))))) ) ) )).
fof(dt_k72_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k72_aofa_i00(A,B,C,D,E),A) & m1_subset_1(k72_aofa_i00(A,B,C,D,E),u1_struct_0(A)) ) ) )).
fof(dt_k72_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(A) & v1_valued_2(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ( v1_relat_1(k72_valued_2(A,B,C,D)) & v1_funct_1(k72_valued_2(A,B,C,D)) ) ) )).
fof(dt_k73_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k73_aofa_i00(A,B,C,D,E),A) & m1_subset_1(k73_aofa_i00(A,B,C,D,E),u1_struct_0(A)) ) ) )).
fof(dt_k73_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k73_valued_2(A,B,C,D,E,F)) & m1_subset_1(k73_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k2_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k74_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k74_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k74_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k74_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k74_valued_2(A,B,C,D,E,F)) & m1_subset_1(k74_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k6_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k75_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k75_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k75_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k76_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k76_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k76_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k77_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k77_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k77_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k78_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k78_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k78_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k78_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(A) & v1_valued_2(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ( v1_relat_1(k78_valued_2(A,B,C,D)) & v1_funct_1(k78_valued_2(A,B,C,D)) ) ) )).
fof(dt_k79_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & v1_int_1(F) ) => ( v15_aofa_000(k79_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k79_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k79_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k79_valued_2(A,B,C,D,E,F)) & m1_subset_1(k79_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k2_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k7_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_abcmiz_0(A)) ) => m2_finseq_1(k7_abcmiz_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k7_abcmiz_a,axiom,( ~ v1_xboole_0(k7_abcmiz_a) & m1_subset_1(k7_abcmiz_a,k1_zfmisc_1(k20_abcmiz_1)) )).
fof(dt_k7_absred_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & l2_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_absred_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k7_aescip_1,axiom,( v1_funct_1(k7_aescip_1) & v1_funct_2(k7_aescip_1,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(k7_aescip_1,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) )).
fof(dt_k7_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => m1_subset_1(k7_afinsq_2(A),k2_numbers) ) )).
fof(dt_k7_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ~ v1_xboole_0(k7_afproj(A)) ) )).
fof(dt_k7_alg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k7_alg_1(A,B,C)) & v1_funct_2(k7_alg_1(A,B,C),u1_struct_0(k4_alg_1(A,k6_alg_1(A,B,C))),u1_struct_0(B)) & m1_subset_1(k7_alg_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_alg_1(A,k6_alg_1(A,B,C))),u1_struct_0(B)))) ) ) )).
fof(dt_k7_algstr_0,axiom,( l3_algstr_0(k7_algstr_0) )).
fof(dt_k7_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_partfun1(k7_algstr_4(A,B,C),A) & v3_relat_2(k7_algstr_4(A,B,C)) & v8_relat_2(k7_algstr_4(A,B,C)) & m1_subset_1(k7_algstr_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k7_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_altcat_1(A)) & v6_altcat_1(k7_altcat_1(A)) & v10_altcat_1(k7_altcat_1(A)) & l2_altcat_1(k7_altcat_1(A)) ) ) )).
fof(dt_k7_ami_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) & m1_subset_1(B,k2_ami_2) & v1_int_1(C) ) => m1_subset_1(k7_ami_2(A,B,C),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) ) )).
fof(dt_k7_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k7_ami_3(A),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k7_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,k4_ordinal1) & v7_ordinal1(D) ) => m1_subset_1(k7_ami_wstd(A,B,C,D),k4_ordinal1) ) )).
fof(dt_k7_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_relat_1(k7_aofa_000(A,B,C)) & v1_funct_1(k7_aofa_000(A,B,C)) ) ) )).
fof(dt_k7_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k7_aofa_a01(A,B,C,D),k1_funct_1(u3_msualg_1(A,C),D)) ) )).
fof(dt_k7_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_int_1(C) ) => ( v1_funct_1(k7_aofa_i00(A,B,C)) & v1_funct_2(k7_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k7_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k7_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & l4_aofa_l00(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) & m1_subset_1(F,k3_card_3(B)) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,C))) ) => m1_subset_1(k7_aofa_l00(A,B,C,D,E,F,G),k1_funct_1(u3_msualg_1(A,C),D)) ) )).
fof(dt_k7_armstrng,axiom,( ! [A] : m1_subset_1(k7_armstrng(A),k1_zfmisc_1(k2_zfmisc_1(k4_armstrng(A),k4_armstrng(A)))) )).
fof(dt_k7_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_arytm_2) & m1_subset_1(B,k2_arytm_2) ) => m1_subset_1(k7_arytm_2(A,B),k2_arytm_2) ) )).
fof(dt_k7_arytm_3,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => m1_subset_1(k7_arytm_3(A),k4_ordinal1) ) )).
fof(dt_k7_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => m1_funct_2(k7_asympt_0(A),k4_ordinal1,k1_numbers) ) )).
fof(dt_k7_autalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k7_autalg_1(A,B)) & v2_group_1(k7_autalg_1(A,B)) & v3_group_1(k7_autalg_1(A,B)) & l3_algstr_0(k7_autalg_1(A,B)) ) ) )).
fof(dt_k7_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k7_bagorder(A),k15_pre_poly(A)) & v1_relat_2(k7_bagorder(A)) & v4_relat_2(k7_bagorder(A)) & v8_relat_2(k7_bagorder(A)) & m1_subset_1(k7_bagorder(A),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_k7_bcialg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,k5_bcialg_1(A)) ) => ( ~ v1_xboole_0(k7_bcialg_1(A,B)) & m1_subset_1(k7_bcialg_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k7_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_2(B,A) ) => ( v1_funct_1(k7_bcialg_2(A,B)) & v1_funct_2(k7_bcialg_2(A,B),k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),B),k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)) & m1_subset_1(k7_bcialg_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(A),B),k8_eqrel_1(u1_struct_0(A),B)),k8_eqrel_1(u1_struct_0(A),B)))) ) ) )).
fof(dt_k7_bcialg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_bcialg_4(A) & m1_finseq_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_bcialg_4(A,B),u1_struct_0(A)) ) )).
fof(dt_k7_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m4_bcialg_2(D,A,C) ) => ( v1_funct_1(k7_bcialg_6(A,B,C,D)) & v1_funct_2(k7_bcialg_6(A,B,C,D),k2_zfmisc_1(k6_bcialg_6(A,B,C,D),k6_bcialg_6(A,B,C,D)),k6_bcialg_6(A,B,C,D)) & m1_subset_1(k7_bcialg_6(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_bcialg_6(A,B,C,D),k6_bcialg_6(A,B,C,D)),k6_bcialg_6(A,B,C,D)))) ) ) )).
fof(dt_k7_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k7_bilinear(A,B,C,D,E)) & v1_funct_2(k7_bilinear(A,B,C,D,E),u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(k7_bilinear(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) ) )).
fof(dt_k7_binarith,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => ( v3_card_1(k7_binarith(A,B,C),A) & m2_finseq_1(k7_binarith(A,B,C),k5_margrel1) ) ) )).
fof(dt_k7_binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => m2_finseq_1(k7_binom(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k7_binop_2,axiom,( v1_funct_1(k7_binop_2) & v1_funct_2(k7_binop_2,k1_numbers,k1_numbers) & m1_subset_1(k7_binop_2,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(dt_k7_bor_cant,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k7_bor_cant(A,B)) & v1_funct_2(k7_bor_cant(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k7_bor_cant(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k7_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) => m1_subset_1(k7_borsuk_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) ) )).
fof(dt_k7_borsuk_6,axiom,( m1_subset_1(k7_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) )).
fof(dt_k7_borsuk_7,axiom,( m1_subset_1(k7_borsuk_7,u1_struct_0(k8_toprealb(3))) )).
fof(dt_k7_bspace,axiom,( ! [A] : ( ~ v2_struct_0(k7_bspace(A)) & l1_vectsp_1(k7_bspace(A),k2_bspace) ) )).
fof(dt_k7_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k7_bvfunc_1(A,B)) & v1_funct_1(k7_bvfunc_1(A,B)) ) ) )).
fof(dt_k7_bvfunc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) & m1_eqrel_1(D,A) ) => ( v1_funct_1(k7_bvfunc_2(A,B,C,D)) & v1_funct_2(k7_bvfunc_2(A,B,C,D),A,k5_margrel1) & m1_subset_1(k7_bvfunc_2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k7_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_c0sp1(A)) & v13_algstr_0(k7_c0sp1(A)) & v2_rlvect_1(k7_c0sp1(A)) & v3_rlvect_1(k7_c0sp1(A)) & v4_rlvect_1(k7_c0sp1(A)) & v5_rlvect_1(k7_c0sp1(A)) & v6_rlvect_1(k7_c0sp1(A)) & v7_rlvect_1(k7_c0sp1(A)) & v2_funcsdom(k7_c0sp1(A)) & v1_vectsp_1(k7_c0sp1(A)) & v3_vectsp_1(k7_c0sp1(A)) & v3_group_1(k7_c0sp1(A)) & v5_group_1(k7_c0sp1(A)) & l1_funcsdom(k7_c0sp1(A)) ) ) )).
fof(dt_k7_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k7_c0sp2(A)) & v13_algstr_0(k7_c0sp2(A)) & v2_rlvect_1(k7_c0sp2(A)) & v3_rlvect_1(k7_c0sp2(A)) & v4_rlvect_1(k7_c0sp2(A)) & v5_rlvect_1(k7_c0sp2(A)) & v6_rlvect_1(k7_c0sp2(A)) & v7_rlvect_1(k7_c0sp2(A)) & v8_rlvect_1(k7_c0sp2(A)) & l1_rlvect_1(k7_c0sp2(A)) ) ) )).
fof(dt_k7_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) => v1_card_1(k7_card_3(A)) ) )).
fof(dt_k7_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ( v1_funct_1(k7_cat_1(A,B,C)) & v1_funct_2(k7_cat_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k7_cat_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k7_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k7_cat_2(A,B,C,D),u1_struct_0(k6_cat_2(A,B))) ) )).
fof(dt_k7_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) & m1_subset_1(D,u4_struct_0(A)) ) => ( v1_funct_1(k7_cat_3(A,B,C,D)) & v1_funct_2(k7_cat_3(A,B,C,D),B,u4_struct_0(A)) & m1_subset_1(k7_cat_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) ) )).
fof(dt_k7_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k7_cat_4(A,B,C),A,k2_cat_4(A,B,C),B) ) )).
fof(dt_k7_cat_5,axiom,( ! [A] : ( ~ v2_struct_0(k7_cat_5(A)) & ~ v11_struct_0(k7_cat_5(A)) & v2_cat_1(k7_cat_5(A)) & v3_cat_1(k7_cat_5(A)) & v4_cat_1(k7_cat_5(A)) & v5_cat_1(k7_cat_5(A)) & v6_cat_1(k7_cat_5(A)) & l1_cat_1(k7_cat_5(A)) ) )).
fof(dt_k7_cat_6,axiom,( ! [A] : ! [B] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k1_cat_6(A)) ) => m1_subset_1(k7_cat_6(A,B),k6_cat_6(A)) ) )).
fof(dt_k7_cat_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k1_cat_6(A)) ) => ( v1_funct_1(k7_cat_7(A,B)) & v1_funct_2(k7_cat_7(A,B),u1_struct_0(k6_cat_7(2)),u1_struct_0(A)) & v16_cat_6(k7_cat_7(A,B),k6_cat_7(2),A) & m1_subset_1(k7_cat_7(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_cat_7(2)),u1_struct_0(A)))) ) ) )).
fof(dt_k7_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => l1_clopban2(k7_cc0sp1(A)) ) )).
fof(dt_k7_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k7_cc0sp2(A)) & v13_algstr_0(k7_cc0sp2(A)) & v2_rlvect_1(k7_cc0sp2(A)) & v3_rlvect_1(k7_cc0sp2(A)) & v4_rlvect_1(k7_cc0sp2(A)) & v2_clvect_1(k7_cc0sp2(A)) & v3_clvect_1(k7_cc0sp2(A)) & v4_clvect_1(k7_cc0sp2(A)) & v5_clvect_1(k7_cc0sp2(A)) & l1_clvect_1(k7_cc0sp2(A)) ) ) )).
fof(dt_k7_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => l6_algstr_0(k7_cfuncdom(A)) ) )).
fof(dt_k7_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(k4_chain_1(A,B,C))) & m1_subset_1(E,k1_zfmisc_1(k4_chain_1(A,B,C))) ) => m1_subset_1(k7_chain_1(A,B,C,D,E),k1_zfmisc_1(k4_chain_1(A,B,C))) ) )).
fof(dt_k7_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) & m1_circcmb3(C,A) & m2_circcmb3(D,A,B) & m2_circcmb3(E,A,C) ) => ( v3_msualg_1(k7_circcmb3(A,B,C,D,E),k6_circcmb3(A,B,C)) & m2_circcmb3(k7_circcmb3(A,B,C,D,E),A,k6_circcmb3(A,B,C)) ) ) )).
fof(dt_k7_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( v3_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & v4_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & l3_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) ) ) )).
fof(dt_k7_circuit1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => v7_ordinal1(k7_circuit1(A,B)) ) )).
fof(dt_k7_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_msafree2(D,A,B) ) => m1_subset_1(k7_circuit2(A,B,C,D),k4_card_3(u3_msualg_1(A,B))) ) )).
fof(dt_k7_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k7_classes2(A,B,C),A) ) )).
fof(dt_k7_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,u1_struct_0(k6_clopban1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k7_clopban1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k7_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => l6_algstr_0(k7_clopban2(A)) ) )).
fof(dt_k7_clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_clopban4(A,B),u1_struct_0(A)) ) )).
fof(dt_k7_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v9_closure1(B,A) & l1_closure1(B,A) ) => ( v1_closure1(k7_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) & v2_closure1(k7_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) & v3_closure1(k7_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) & m2_pboole(k7_closure1(A,B),u1_struct_0(A),k5_mssubfam(u1_struct_0(A),u3_msualg_1(A,B)),k5_mssubfam(u1_struct_0(A),u3_msualg_1(A,B))) ) ) )).
fof(dt_k7_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) & m1_subset_1(D,k6_closure2(A,B)) ) => m1_closure2(k7_closure2(A,B,C,D),A,B,k6_closure2(A,B)) ) )).
fof(dt_k7_clvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k7_clvect_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k7_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => m1_subset_1(k7_coh_sp(A,B),k3_coh_sp(A)) ) )).
fof(dt_k7_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(C) ) => m1_subset_1(k7_combgras(A,B,C),k1_zfmisc_1(u1_incsp_1(k1_combgras(A,B)))) ) )).
fof(dt_k7_complex1,axiom,( m1_subset_1(k7_complex1,k2_numbers) )).
fof(dt_k7_complsp2,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m2_finseq_1(k7_complsp2(A),k1_numbers) ) )).
fof(dt_k7_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) ) => ( v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) ) ) )).
fof(dt_k7_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) & v7_ordinal1(C) ) => m2_rfunct_3(k7_comput_1(A,B,C),k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) ) )).
fof(dt_k7_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k7_comseq_3(A)) & v1_funct_2(k7_comseq_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k7_comseq_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k7_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ~ v1_xboole_0(k7_conlat_1(A)) ) )).
fof(dt_k7_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( ~ v2_struct_0(k7_conlat_2(A)) & ~ v11_struct_0(k7_conlat_2(A)) & v1_conlat_1(k7_conlat_2(A)) & l1_conlat_1(k7_conlat_2(A)) ) ) )).
fof(dt_k7_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & v1_xcmplx_0(B) & m1_convex4(C,A) ) => m1_convex4(k7_convex4(A,B,C),A) ) )).
fof(dt_k7_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k7_cqc_lang(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k7_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => m1_subset_1(k7_cqc_sim1(A,B),k4_ordinal1) ) )).
fof(dt_k7_csspace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k7_csspace(A,B)) & v1_funct_2(k7_csspace(A,B),k2_zfmisc_1(k2_numbers,B),B) & m1_subset_1(k7_csspace(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,B),B))) ) ) )).
fof(dt_k7_csspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ~ v1_xboole_0(k7_csspace4(A,B,C)) & m1_subset_1(k7_csspace4(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k7_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k7_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k7_descip_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k7_descip_1(A)) & v1_funct_1(k7_descip_1(A)) & v1_finseq_1(k7_descip_1(A)) ) ) )).
fof(dt_k7_dickson,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(k7_dickson(A,B),k4_ordinal1) ) )).
fof(dt_k7_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k7_diff_1(A,B)) & v1_funct_2(k7_diff_1(A,B),k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(k7_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) ) )).
fof(dt_k7_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ( v1_funct_1(k7_dist_1(A)) & v1_funct_2(k7_dist_1(A),k6_dist_1(A),k3_finseq_2(k1_numbers)) & m1_subset_1(k7_dist_1(A),k1_zfmisc_1(k2_zfmisc_1(k6_dist_1(A),k3_finseq_2(k1_numbers)))) ) ) )).
fof(dt_k7_dist_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_funct_1(k7_dist_2(A,B)) & v1_funct_2(k7_dist_2(A,B),A,k5_margrel1) & m1_subset_1(k7_dist_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k7_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k7_domain_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k7_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & l1_lang1(A) ) => ( ~ v1_xboole_0(k7_dtconstr(A)) & m1_subset_1(k7_dtconstr(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k7_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_subset_1(k7_dualsp01(A),k1_zfmisc_1(u1_struct_0(k10_funcsdom(u1_struct_0(A))))) ) )).
fof(dt_k7_dynkin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_dynkin(B,A) & m1_subset_1(C,B) ) => m1_dynkin(k7_dynkin(A,B,C),A) ) )).
fof(dt_k7_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => m1_subset_1(k7_ec_pf_1(A),k1_zfmisc_1(k2_zfmisc_1(k3_ec_pf_1(k9_int_3(A)),k3_ec_pf_1(k9_int_3(A))))) ) )).
fof(dt_k7_ec_pf_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,k3_ec_pf_1(k9_int_3(A))) ) => m2_subset_1(k7_ec_pf_2(A,B),k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k3_ec_pf_1(k9_int_3(A))) ) )).
fof(dt_k7_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => v1_xreal_0(k7_entropy1(A)) ) )).
fof(dt_k7_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k7_eqrel_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k7_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => m2_finseq_2(k7_euclid(A,B,C),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k7_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k7_euclid_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k7_euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => m2_finseq_1(k7_euclid_7(A,B),k1_euclid(A)) ) )).
fof(dt_k7_euclid_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_euclid(3)) & m1_subset_1(B,k1_euclid(3)) & m1_subset_1(C,k1_euclid(3)) ) => v1_xreal_0(k7_euclid_8(A,B,C)) ) )).
fof(dt_k7_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ( v1_relat_1(k7_exchsort(A,B,C,D)) & v1_funct_1(k7_exchsort(A,B,C,D)) ) ) )).
fof(dt_k7_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) => ( v1_relat_1(k7_extpro_1(A,B,C,D)) & v4_relat_1(k7_extpro_1(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k7_extpro_1(A,B,C,D)) & v5_funct_1(k7_extpro_1(A,B,C,D),k2_memstr_0(A,B)) & v1_finset_1(k7_extpro_1(A,B,C,D)) ) ) )).
fof(dt_k7_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ( v3_msualg_1(k7_facirc_1(A,B,C,D),k5_circcomb(D,k11_finseq_1(A,B,C))) & v4_msafree2(k7_facirc_1(A,B,C,D),k5_circcomb(D,k11_finseq_1(A,B,C))) & v4_circcomb(k7_facirc_1(A,B,C,D),k5_circcomb(D,k11_finseq_1(A,B,C))) & v6_circcomb(k7_facirc_1(A,B,C,D),k5_circcomb(D,k11_finseq_1(A,B,C))) & l3_msualg_1(k7_facirc_1(A,B,C,D),k5_circcomb(D,k11_finseq_1(A,B,C))) ) ) )).
fof(dt_k7_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k7_ff_siec(A)) ) )).
fof(dt_k7_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k7_filter_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k7_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) & ~ v2_struct_0(B) & l3_lattices(B) ) => ( v3_lattices(k7_filter_1(A,B)) & l3_lattices(k7_filter_1(A,B)) ) ) )).
fof(dt_k7_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k7_filter_2(A,B)) & v18_lattices(k7_filter_2(A,B),A) & v21_lattices(k7_filter_2(A,B),A) & m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k7_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k7_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( v5_relat_1(k7_finance2(A),k12_prob_1) & v1_funct_1(k7_finance2(A)) & v1_funct_2(k7_finance2(A),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k7_finance2(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) )).
fof(dt_k7_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(dt_k7_finseq_2,axiom,( ! [A] : ( v1_funct_1(k7_finseq_2(A)) & v1_funct_2(k7_finseq_2(A),k4_ordinal1,k3_finseq_2(k1_tarski(A))) & m1_subset_1(k7_finseq_2(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_tarski(A))))) ) )).
fof(dt_k7_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) & m1_subset_1(D,k4_ordinal1) ) => m1_subset_1(k7_finseq_8(A,B,C,D),k4_ordinal1) ) )).
fof(dt_k7_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k7_finseqop(A,B,C,D)) & v1_funct_2(k7_finseqop(A,B,C,D),k2_zfmisc_1(A,A),A) & m1_subset_1(k7_finseqop(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) ) )).
fof(dt_k7_fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => m1_subset_1(k7_fintopo3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) & v7_ordinal1(C) ) => m1_subset_1(k7_flang_1(A,B,C),k1_zfmisc_1(k3_catalan2(A))) ) )).
fof(dt_k7_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k7_fomodel0(A)) & v1_funct_2(k7_fomodel0(A),k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A) & m1_subset_1(k7_fomodel0(A),k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A))) ) ) )).
fof(dt_k7_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => ( v1_funct_1(k7_fomodel2(A,B,C,D)) & v1_funct_2(k7_fomodel2(A,B,C,D),k4_ordinal1,k9_funct_2(k35_fomodel1(A),B)) & m1_subset_1(k7_fomodel2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k35_fomodel1(A),B)))) ) ) )).
fof(dt_k7_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_subset_1(k7_fomodel3(A,B),k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(k35_fomodel1(A)),k2_xboole_0(k35_fomodel1(A),k5_margrel1))),k15_fomodel2(A,k35_fomodel1(A))) ) )).
fof(dt_k7_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => ( ~ v2_struct_0(k7_freealg(A,B)) & v1_unialg_1(k7_freealg(A,B)) & v2_unialg_1(k7_freealg(A,B)) & v3_unialg_1(k7_freealg(A,B)) & v4_unialg_1(k7_freealg(A,B)) & l1_unialg_1(k7_freealg(A,B)) ) ) )).
fof(dt_k7_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k7_fscirc_1(A,B,C),k4_fscirc_1(A,B,C)) & v4_msafree2(k7_fscirc_1(A,B,C),k4_fscirc_1(A,B,C)) & v4_circcomb(k7_fscirc_1(A,B,C),k4_fscirc_1(A,B,C)) & v6_circcomb(k7_fscirc_1(A,B,C),k4_fscirc_1(A,B,C)) & l3_msualg_1(k7_fscirc_1(A,B,C),k4_fscirc_1(A,B,C)) ) )).
fof(dt_k7_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & v7_ordinal1(D) ) => ( ~ v1_xboole_0(k7_fsm_1(A,B,C,D)) & m1_eqrel_1(k7_fsm_1(A,B,C,D),u1_struct_0(C)) ) ) )).
fof(dt_k7_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k8_afinsq_1(A)) & m1_subset_1(C,k8_afinsq_1(A)) ) => m1_subset_1(k7_fsm_3(A,B,C),k8_afinsq_1(A)) ) )).
fof(dt_k7_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v2_struct_0(k7_ftacell1(A,B,C,D,E)) & ~ v11_struct_0(k7_ftacell1(A,B,C,D,E)) & v1_msualg_1(k7_ftacell1(A,B,C,D,E)) & v1_circcomb(k7_ftacell1(A,B,C,D,E)) & v2_circcomb(k7_ftacell1(A,B,C,D,E)) & v3_circcomb(k7_ftacell1(A,B,C,D,E)) & l1_msualg_1(k7_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k7_funcop_1,axiom,( ! [A] : ! [B] : ( v1_funct_1(k7_funcop_1(A,B)) & v1_funct_2(k7_funcop_1(A,B),A,k1_tarski(B)) & m1_subset_1(k7_funcop_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_tarski(B)))) ) )).
fof(dt_k7_funcsdom,axiom,( ! [A] : ( v1_funct_1(k7_funcsdom(A)) & v1_funct_2(k7_funcsdom(A),k2_zfmisc_1(k1_numbers,k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & m1_subset_1(k7_funcsdom(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)))) ) )).
fof(dt_k7_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_subset_1(k7_funct_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )).
fof(dt_k7_funct_3,axiom,( ! [A] : ! [B] : ( v1_relat_1(k7_funct_3(A,B)) & v1_funct_1(k7_funct_3(A,B)) ) )).
fof(dt_k7_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k7_funct_4(A,B,C,D)) & m1_subset_1(k7_funct_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k7_funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k7_funct_6(A,B)) & v1_funct_1(k7_funct_6(A,B)) ) ) )).
fof(dt_k7_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & v11_functor0(C,A,B) & l2_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k7_functor0(A,B,C,D,E)) & v1_funct_2(k7_functor0(A,B,C,D,E),k1_altcat_1(A,D,E),k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D))) & m1_subset_1(k7_functor0(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_altcat_1(A,D,E),k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D))))) ) ) )).
fof(dt_k7_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & v15_functor0(E,A,B) & m2_functor0(E,A,B) & v15_functor0(F,B,C) & m2_functor0(F,B,C) & v15_functor0(G,B,C) & m2_functor0(G,B,C) & m1_functor2(H,A,B,D,E) & m1_functor2(I,B,C,F,G) ) => m1_functor2(k7_functor3(A,B,C,D,E,F,G,H,I),A,C,k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,E,G)) ) )).
fof(dt_k7_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_fvaluat1(B,A) ) => ( ~ v2_struct_0(k7_fvaluat1(A,B)) & ~ v6_struct_0(k7_fvaluat1(A,B)) & v13_algstr_0(k7_fvaluat1(A,B)) & v36_algstr_0(k7_fvaluat1(A,B)) & v4_vectsp_1(k7_fvaluat1(A,B)) & v5_vectsp_1(k7_fvaluat1(A,B)) & v2_rlvect_1(k7_fvaluat1(A,B)) & v3_rlvect_1(k7_fvaluat1(A,B)) & v4_rlvect_1(k7_fvaluat1(A,B)) & v3_group_1(k7_fvaluat1(A,B)) & v5_group_1(k7_fvaluat1(A,B)) & l6_algstr_0(k7_fvaluat1(A,B)) ) ) )).
fof(dt_k7_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_struct_0(A)) ) => m2_finseq_1(k7_fvsum_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k7_gaussint,axiom,( ~ v2_struct_0(k7_gaussint) & v36_algstr_0(k7_gaussint) & l6_algstr_0(k7_gaussint) )).
fof(dt_k7_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) & m2_gcd_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => m1_subset_1(k7_gcd_1(A,B,C,D,E,F),u1_struct_0(A)) ) )).
fof(dt_k7_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) ) => m1_genealg1(k7_genealg1(A,B,C,D),A) ) )).
fof(dt_k7_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_geomtrap(k7_geomtrap(A,B,C)) & l1_geomtrap(k7_geomtrap(A,B,C)) ) ) )).
fof(dt_k7_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k7_gfacirc1(A,B,C)) & ~ v11_struct_0(k7_gfacirc1(A,B,C)) & v1_msualg_1(k7_gfacirc1(A,B,C)) & v1_circcomb(k7_gfacirc1(A,B,C)) & v2_circcomb(k7_gfacirc1(A,B,C)) & v3_circcomb(k7_gfacirc1(A,B,C)) & l1_msualg_1(k7_gfacirc1(A,B,C)) ) )).
fof(dt_k7_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => m2_subset_1(k7_gfacirc2(A,B,C),u1_struct_0(k5_gfacirc2(A,B,C)),k3_msafree2(k5_gfacirc2(A,B,C))) ) )).
fof(dt_k7_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & m3_glib_001(C,A) ) => m3_glib_001(k7_glib_001(A,B,C),A) ) )).
fof(dt_k7_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => ( v1_relat_1(k7_glib_003(A)) & v1_funct_1(k7_glib_003(A)) ) ) )).
fof(dt_k7_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) => m1_subset_1(k7_glib_004(A,B),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k7_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & m1_subset_1(D,k6_glib_000(A)) ) => ( v5_glib_001(k7_glib_005(A,B,C,D),A) & v6_glib_001(k7_glib_005(A,B,C,D),A) & m3_glib_001(k7_glib_005(A,B,C,D),A) ) ) )).
fof(dt_k7_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => m1_subset_1(k7_graph_1(A),k4_ordinal1) ) )).
fof(dt_k7_graph_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => m2_finseq_1(k7_graph_2(A,B),u1_struct_0(A)) ) )).
fof(dt_k7_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_graph_3(A,B,C),k4_ordinal1) ) )).
fof(dt_k7_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(k7_graph_5(A),k1_zfmisc_1(k3_finseq_2(u4_struct_0(A)))) ) )).
fof(dt_k7_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k3_finseq_2(k1_numbers)) & v7_ordinal1(B) ) => m1_subset_1(k7_graphsp(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k7_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( ~ v2_struct_0(k7_grcat_1(A)) & v13_algstr_0(k7_grcat_1(A)) & v3_rlvect_1(k7_grcat_1(A)) & v4_rlvect_1(k7_grcat_1(A)) & l2_algstr_0(k7_grcat_1(A)) ) ) )).
fof(dt_k7_group_1,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_struct_0(A) ) => m1_subset_1(k7_group_1(A),k4_ordinal1) ) )).
fof(dt_k7_group_10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k7_group_10(A,B)) & v1_funct_2(k7_group_10(A,B),u1_struct_0(A),k1_funct_2(k2_zfmisc_1(u1_struct_0(A),B),k2_zfmisc_1(u1_struct_0(A),B))) & v1_group_10(k7_group_10(A,B),A,k2_zfmisc_1(u1_struct_0(A),B)) & m1_subset_1(k7_group_10(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(k2_zfmisc_1(u1_struct_0(A),B),k2_zfmisc_1(u1_struct_0(A),B))))) ) ) )).
fof(dt_k7_group_19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) & v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) ) => ( v1_funct_1(k7_group_19(A,B,C,D)) & v1_funct_2(k7_group_19(A,B,C,D),u1_struct_0(k2_group_7(A,B)),u1_struct_0(k2_group_7(A,C))) & v1_group_6(k7_group_19(A,B,C,D),k2_group_7(A,B),k2_group_7(A,C)) & m1_subset_1(k7_group_19(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(A,B)),u1_struct_0(k2_group_7(A,C))))) ) ) )).
fof(dt_k7_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k7_group_2(A)) & m1_group_2(k7_group_2(A),A) ) ) )).
fof(dt_k7_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_group_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => m1_subset_1(k7_group_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_group_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v15_algstr_0(k7_group_5(A,B,C)) & m1_group_2(k7_group_5(A,B,C),A) ) ) )).
fof(dt_k7_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) ) => ( v1_funct_1(k7_group_6(A,B)) & v1_funct_2(k7_group_6(A,B),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k7_group_6(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k7_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k7_hahnban1(A,B)) & v1_funct_2(k7_hahnban1(A,B),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k7_hahnban1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k7_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k7_hermitan(A,B,C)) & v1_funct_2(k7_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)) & v1_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v4_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_hermitan(k7_hermitan(A,B,C),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & m1_subset_1(k7_hermitan(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k7_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) & m1_subset_1(C,k5_finsub_1(k7_normform(A))) ) => m1_subset_1(k7_heyting1(A,B,C),k5_finsub_1(k7_normform(A))) ) )).
fof(dt_k7_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) ) => ( v1_funct_1(k7_heyting2(A,B,C)) & v1_funct_2(k7_heyting2(A,B,C),u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(k7_heyting2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B))))) ) ) )).
fof(dt_k7_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_funct_1(k7_hilbasis(A,B)) & v1_funct_2(k7_hilbasis(A,B),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A)),u1_struct_0(k13_polynom3(k12_polynom1(B,A)))) & m1_subset_1(k7_hilbasis(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(k1_nat_1(B,1),A)),u1_struct_0(k13_polynom3(k12_polynom1(B,A)))))) ) ) )).
fof(dt_k7_huffman1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v2_bintree1(A) & m1_subset_1(B,k9_xtuple_0(A)) ) => v1_xreal_0(k7_huffman1(A,B)) ) )).
fof(dt_k7_hurwitz,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k7_hurwitz(A)) & v1_funct_2(k7_hurwitz(A),k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(k7_hurwitz(A),k1_complfld) & m1_subset_1(k7_hurwitz(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k7_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k7_idea_1(A,B)) ) )).
fof(dt_k7_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k7_ideal_1(A,B)) & v1_ideal_1(k7_ideal_1(A,B),A) & v2_ideal_1(k7_ideal_1(A,B),A) & v3_ideal_1(k7_ideal_1(A,B),A) & m1_subset_1(k7_ideal_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k7_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_index_1(C) & m2_index_1(D,A,B,C) & m1_subset_1(E,A) ) => m2_cat_1(k7_index_1(A,B,C,D,E),k2_index_1(A,B,E),k2_index_1(A,C,E)) ) )).
fof(dt_k7_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k7_int_3(A)) & v1_funct_2(k7_int_3(A),k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)) & m1_subset_1(k7_int_3(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k5_card_1(A)),k5_card_1(A)))) ) ) )).
fof(dt_k7_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k7_integr10(A)) & m1_subset_1(k7_integr10(A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(dt_k7_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( v1_funct_1(k7_integr15(A,B,C,D)) & m1_subset_1(k7_integr15(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) ) )).
fof(dt_k7_integr16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => m1_subset_1(k7_integr16(A,B),k2_numbers) ) )).
fof(dt_k7_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => v1_xreal_0(k7_integra1(A,B,C)) ) )).
fof(dt_k7_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m2_subset_1(k7_interva1(A,B),k1_zfmisc_1(A),B) ) )).
fof(dt_k7_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => m1_subset_1(k7_intpro_1(A),k1_zfmisc_1(k1_intpro_1)) ) )).
fof(dt_k7_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v1_funct_1(k7_isocat_1(A)) & v1_funct_2(k7_isocat_1(A),u1_struct_0(A),u4_struct_0(A)) & m1_subset_1(k7_isocat_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(A)))) ) ) )).
fof(dt_k7_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => m2_cat_1(k7_isocat_2(A,B,C),k9_nattra_1(k6_cat_2(A,B),C),k9_nattra_1(A,k9_nattra_1(B,C))) ) )).
fof(dt_k7_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k7_jgraph_4(A)) & v1_funct_2(k7_jgraph_4(A),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k7_jgraph_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) ) )).
fof(dt_k7_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => m1_subset_1(k7_jgraph_6(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k7_jordan,axiom,( v1_funct_1(k7_jordan) & v1_funct_2(k7_jordan,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(k7_jordan,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) )).
fof(dt_k7_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k7_jordan5d(A)) ) )).
fof(dt_k7_jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(k7_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k7_knaster,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v2_knaster(B,A) & v3_knaster(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k7_knaster(A,B)) & v3_lattices(k7_knaster(A,B)) & v10_lattices(k7_knaster(A,B)) & l3_lattices(k7_knaster(A,B)) ) ) )).
fof(dt_k7_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(C)) & m1_kolmog01(E,C,A,B) ) => m1_subset_1(k7_kolmog01(A,B,C,D,E),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k7_lang1,axiom,( ! [A] : ! [B] : ( v2_lang1(k7_lang1(A,B)) & l2_lang1(k7_lang1(A,B)) ) )).
fof(dt_k7_laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_0(k7_laplace(A,B,C)) & v2_matrix_0(k7_laplace(A,B,C),u1_struct_0(B),A,A) & m2_finseq_1(k7_laplace(A,B,C),k3_finseq_2(u1_struct_0(B))) ) ) )).
fof(dt_k7_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v1_orders_2(k7_lattad_1(A)) & l1_orders_2(k7_lattad_1(A)) ) ) )).
fof(dt_k7_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(k7_lattice3(A)) & l1_orders_2(k7_lattice3(A)) ) ) )).
fof(dt_k7_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => v1_card_1(k7_lattice5(A,B,C)) ) )).
fof(dt_k7_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_latticea(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_lattices(A,B),u1_struct_0(A)) ) )).
fof(dt_k7_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k3_rfunct_3(A,B),C)) ) => m2_rfunct_3(k7_lexbfs(A,B,C,D),A,B,k3_rfunct_3(A,B)) ) )).
fof(dt_k7_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_subset_1(C,A) ) => m1_subset_1(k7_lfuzzy_0(A,B,C),u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) ) )).
fof(dt_k7_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => m1_subset_1(k7_lopban_1(A,B),k1_zfmisc_1(u1_struct_0(k5_lopban_1(u1_struct_0(A),B)))) ) )).
fof(dt_k7_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => l6_algstr_0(k7_lopban_2(A)) ) )).
fof(dt_k7_lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_lopban_2(B) & l1_lopban_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k7_lopban_4(A,B,C,D)) & v1_funct_2(k7_lopban_4(A,B,C,D),k4_ordinal1,u1_struct_0(B)) & m1_subset_1(k7_lopban_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) ) )).
fof(dt_k7_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k7_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k7_lpspacc1(A)) & v1_funct_2(k7_lpspacc1(A),k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & m1_subset_1(k7_lpspacc1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)))) ) ) )).
fof(dt_k7_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_lpspace1(A)) & l1_rlvect_1(k7_lpspace1(A)) ) ) )).
fof(dt_k7_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_funct_1(k7_lpspace2(A,B,C,D)) & v1_funct_2(k7_lpspace2(A,B,C,D),k2_zfmisc_1(k6_lpspace2(A,B,C,D),k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) & m1_subset_1(k7_lpspace2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_lpspace2(A,B,C,D),k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)))) ) ) )).
fof(dt_k7_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => m1_subset_1(k7_ltlaxio1(A),k1_hilbert1) ) )).
fof(dt_k7_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k7_ltlaxio3(A),k1_zfmisc_1(k9_setfam_1(k1_hilbert1))) ) )).
fof(dt_k7_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => m1_subset_1(k7_ltlaxio4(A),k1_zfmisc_1(k1_hilbert1)) ) )).
fof(dt_k7_margrel1,axiom,( m1_subset_1(k7_margrel1,k5_margrel1) )).
fof(dt_k7_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k7_mathmorp(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( v1_matrix_0(k7_matrix13(A,B,C,D)) & v2_matrix_0(k7_matrix13(A,B,C,D),A,k4_card_1(C),k4_card_1(C)) & m2_finseq_1(k7_matrix13(A,B,C,D),k3_finseq_2(A)) ) ) )).
fof(dt_k7_matrix15,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ( v7_vectsp_1(k7_matrix15(A,B),A) & m1_vectsp_4(k7_matrix15(A,B),A,k6_prvect_1(A,k1_matrix_0(B))) ) ) )).
fof(dt_k7_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => m2_finseq_2(k7_matrix_0(A,B,C),A,k4_finseq_2(k1_matrix_0(B),A)) ) )).
fof(dt_k7_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => v7_ordinal1(k7_matrix_1(A)) ) )).
fof(dt_k7_matrix_5,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( v1_matrix_0(k7_matrix_5(A,B)) & m2_finseq_1(k7_matrix_5(A,B),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k7_matrixc1,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) & v1_xcmplx_0(B) ) => ( v1_matrix_0(k7_matrixc1(A,B)) & m2_finseq_1(k7_matrixc1(A,B),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k7_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( v1_matrixj1(k7_matrixj1(A,B,C),A) & m2_finseq_1(k7_matrixj1(A,B,C),k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(dt_k7_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) & m1_matrixj2(D,A,B) ) => m1_matrixj2(k7_matrixj2(A,B,C,D),A,B) ) )).
fof(dt_k7_matrixr1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k7_matrixr1(A,B)) & m2_finseq_1(k7_matrixr1(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k7_matrixr2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix_0(k7_matrixr2(A,B)) & v2_matrix_0(k7_matrixr2(A,B),k1_numbers,A,A) & m2_finseq_1(k7_matrixr2(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k7_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => ( v1_matrix_0(k7_matrlin(A,B,C)) & m2_finseq_1(k7_matrlin(A,B,C),k3_finseq_2(A)) ) ) )).
fof(dt_k7_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_vectsp_4(D,A,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k7_matrlin2(A,B,C,D,E)) & v1_funct_2(k7_matrlin2(A,B,C,D,E),u1_struct_0(D),u1_struct_0(C)) & m1_subset_1(k7_matrlin2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(C)))) ) ) )).
fof(dt_k7_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => m1_subset_1(k7_mcart_1(A,B,C,D,E),D) ) )).
fof(dt_k7_measure7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & m2_measure7(B,A) ) => ( v1_funct_1(k7_measure7(A,B)) & v1_funct_2(k7_measure7(A,B),k4_ordinal1,k6_numbers) & m1_subset_1(k7_measure7(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) )).
fof(dt_k7_measure8,axiom,( v1_funct_1(k7_measure8) & v1_funct_2(k7_measure8,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(k7_measure8,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) )).
fof(dt_k7_member_1,axiom,( ! [A] : ( v1_membered(A) => v1_membered(k7_member_1(A)) ) )).
fof(dt_k7_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) ) => ( v1_relat_1(k7_memstr_0(A,B,C)) & v4_relat_1(k7_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k7_memstr_0(A,B,C)) & v5_funct_1(k7_memstr_0(A,B,C),k2_memstr_0(A,B)) ) ) )).
fof(dt_k7_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k7_mesfun7c(A,B)) & m1_subset_1(k7_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k7_mesfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ( v1_funct_1(k7_mesfunc1(A,B)) & m1_subset_1(k7_mesfunc1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k7_mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => m1_subset_1(k7_mesfunc5(A,B,C,D),k6_numbers) ) )).
fof(dt_k7_mesfunc8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( v1_funct_1(k7_mesfunc8(A,B)) & m1_subset_1(k7_mesfunc8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k7_metric_1,axiom,( v1_metric_1(k7_metric_1) & l1_metric_1(k7_metric_1) )).
fof(dt_k7_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => m1_subset_1(k7_metric_2(A),k1_zfmisc_1(k2_metric_2(A))) ) )).
fof(dt_k7_metric_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) ) => ( v1_funct_1(k7_metric_3(A,B,C,D)) & v1_funct_2(k7_metric_3(A,B,C,D),k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D)),k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D))),k1_numbers) & m1_subset_1(k7_metric_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D)),k4_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),u1_struct_0(D))),k1_numbers))) ) ) )).
fof(dt_k7_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_midsp_1(B,A) & m1_midsp_1(C,A) ) => m1_midsp_1(k7_midsp_1(A,B,C),A) ) )).
fof(dt_k7_midsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_midsp_2(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v1_funct_1(k7_midsp_2(A,B,C)) & v1_funct_2(k7_midsp_2(A,B,C),k2_zfmisc_1(u1_struct_0(g1_midsp_1(A,k6_midsp_2(A,B,C))),u1_struct_0(g1_midsp_1(A,k6_midsp_2(A,B,C)))),u1_struct_0(B)) & m1_subset_1(k7_midsp_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_midsp_1(A,k6_midsp_2(A,B,C))),u1_struct_0(g1_midsp_1(A,k6_midsp_2(A,B,C)))),u1_struct_0(B)))) ) ) )).
fof(dt_k7_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & v4_midsp_2(C,B) & l1_midsp_2(C,B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) ) => m2_finseq_2(k7_midsp_3(A,B,C,D,E),u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) ) )).
fof(dt_k7_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k7_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k7_mod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k7_mod_4(A,B,C)) & v1_funct_2(k7_mod_4(A,B,C),u1_struct_0(A),u1_struct_0(k2_mod_4(B))) & m1_subset_1(k7_mod_4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_mod_4(B))))) ) ) )).
fof(dt_k7_modal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_modal_1) & m1_subset_1(B,k9_xtuple_0(A)) ) => m1_subset_1(k7_modal_1(A,B),k6_modal_1) ) )).
fof(dt_k7_modelc_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k7_modelc_1(A),k4_ordinal1) ) )).
fof(dt_k7_modelc_2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k7_modelc_2(A,B),k4_ordinal1) ) )).
fof(dt_k7_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k7_modelc_3(A),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_k7_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v1_funct_1(k7_moebius2(A)) & v1_funct_2(k7_moebius2(A),k5_moebius2(A),k6_moebius2(A)) & m1_subset_1(k7_moebius2(A),k1_zfmisc_1(k2_zfmisc_1(k5_moebius2(A),k6_moebius2(A)))) ) ) )).
fof(dt_k7_monoid_0,axiom,( ~ v2_struct_0(k7_monoid_0) & v15_algstr_0(k7_monoid_0) & v1_group_1(k7_monoid_0) & v17_monoid_0(k7_monoid_0) & m2_monoid_0(k7_monoid_0,k6_monoid_0) )).
fof(dt_k7_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(G,C) ) => m2_funct_2(k7_monoid_1(A,B,C,D,E,F,G),A,D,k9_funct_2(A,D)) ) )).
fof(dt_k7_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k7_msafree(A,B,C),k1_zfmisc_1(k4_dtconstr(k5_msafree(A,B)))) ) )).
fof(dt_k7_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v3_msualg_1(k7_msafree2(A),A) & l3_msualg_1(k7_msafree2(A),A) ) ) )).
fof(dt_k7_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m1_msualg_4(D,A,B,C) ) => m1_subset_1(k7_msafree4(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) )).
fof(dt_k7_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & m1_subset_1(D,k3_msualg_1(A,C,k1_msafree3(A,B))) ) => m1_msafree4(k7_msafree5(A,B,C,D),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k2_msualg_1(A,C))) ) )).
fof(dt_k7_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_msaterm(A,B)) ) => m1_subset_1(k7_msaterm(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k7_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_relat_1(k7_msualg_1(A)) & v2_relat_1(k7_msualg_1(A)) & v4_relat_1(k7_msualg_1(A),u1_struct_0(k6_msualg_1(A))) & v1_funct_1(k7_msualg_1(A)) & v1_partfun1(k7_msualg_1(A),u1_struct_0(k6_msualg_1(A))) ) ) )).
fof(dt_k7_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) ) => ( v1_funct_1(k7_msualg_4(A,B,C,D)) & v1_funct_2(k7_msualg_4(A,B,C,D),k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)) & m1_subset_1(k7_msualg_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,C)),B),k1_funct_1(k3_relat_1(u2_msualg_1(A),k4_msualg_4(A,C,D)),B)))) ) ) )).
fof(dt_k7_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v4_msualg_6(k7_msualg_6(A,B,C),A,B) & m1_msualg_4(k7_msualg_6(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k7_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => m1_mycielsk(k7_mycielsk(A),k7_nat_d(k3_xcmplx_0(3,k1_newton(2,A)),1)) ) )).
fof(dt_k7_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => ( v1_funct_1(k7_nat_1(A,B,C)) & v1_funct_2(k7_nat_1(A,B,C),k4_ordinal1,A) & m1_subset_1(k7_nat_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_k7_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v2_pre_poly(B) ) => v1_xcmplx_0(k7_nat_3(A,B)) ) )).
fof(dt_k7_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => m1_subset_1(k7_nat_d(A,B),k4_ordinal1) ) )).
fof(dt_k7_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m2_nattra_1(E,A,B,C,D) ) => m2_nattra_1(k7_nattra_1(A,B,C,D,E),A,B,D,C) ) )).
fof(dt_k7_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => m1_subset_1(k7_ndiff_7(A,B,C,D,E),u1_struct_0(k16_lopban_1(A,C))) ) )).
fof(dt_k7_newton,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k7_newton(A),k4_ordinal1) ) )).
fof(dt_k7_normform,axiom,( ! [A] : m1_subset_1(k7_normform(A),k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)))) )).
fof(dt_k7_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_rlsub_1(k7_normsp_3(A,B,C),B) ) )).
fof(dt_k7_numpoly1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => m1_subset_1(k7_numpoly1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k7_oppcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_cat_1(D,A,B,C) ) => m1_cat_1(k7_oppcat_1(A,B,C,D),k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B)) ) )).
fof(dt_k7_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k7_ordinal3(A,B)) ) )).
fof(dt_k7_ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( v3_ordinal1(k7_ordinal4(A,B,C)) & m1_subset_1(k7_ordinal4(A,B,C),A) ) ) )).
fof(dt_k7_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal6(A) ) => ( v1_relat_1(k7_ordinal6(A)) & v1_funct_1(k7_ordinal6(A)) & v5_ordinal1(k7_ordinal6(A)) & v1_ordinal2(k7_ordinal6(A)) ) ) )).
fof(dt_k7_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m2_pboole(k7_osafree(A,B),u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k5_osafree(A,B))),k3_relat_1(u2_msualg_1(A),k5_osafree(A,B))) ) )).
fof(dt_k7_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ( ~ v1_xboole_0(k7_osalg_1(A)) & m1_subset_1(k7_osalg_1(A),k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)))) ) ) )).
fof(dt_k7_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( v1_relat_1(k7_osalg_4(A,B,C)) & v4_relat_1(k7_osalg_4(A,B,C),u1_struct_0(A)) & v1_funct_1(k7_osalg_4(A,B,C)) & v1_partfun1(k7_osalg_4(A,B,C),u1_struct_0(A)) & v11_osalg_1(k7_osalg_4(A,B,C),A) ) ) )).
fof(dt_k7_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => m1_subset_1(k7_partfun1(A,B,C),A) ) )).
fof(dt_k7_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k7_pboole(A,B,C)) & v4_relat_1(k7_pboole(A,B,C),A) & v1_funct_1(k7_pboole(A,B,C)) & v1_partfun1(k7_pboole(A,B,C),A) ) ) )).
fof(dt_k7_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) ) => ( v1_relat_1(k7_pcs_0(A,B)) & v4_relat_1(k7_pcs_0(A,B),A) & v1_funct_1(k7_pcs_0(A,B)) & v1_partfun1(k7_pcs_0(A,B),A) ) ) )).
fof(dt_k7_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) ) => ( v1_funct_1(k7_pdiff_1(A,B,C)) & v1_funct_2(k7_pdiff_1(A,B,C),u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A))) & m1_subset_1(k7_pdiff_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A))))) ) ) )).
fof(dt_k7_pdiff_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(D,k1_euclid(3)) ) => m2_finseq_2(k7_pdiff_4(A,B,C,D),k1_numbers,k1_euclid(3)) ) )).
fof(dt_k7_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k7_pdiff_5(A,B)) ) )).
fof(dt_k7_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( v1_pre_topc(k7_pencil_4(A,B,C,D)) & l1_pre_topc(k7_pencil_4(A,B,C,D)) ) ) )).
fof(dt_k7_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k7_petri(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k7_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k4_petri_df(A)) & m1_finseq_1(C,u4_struct_0(A)) ) => m2_funct_2(k7_petri_df(A,B,C),u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) ) )).
fof(dt_k7_pnproc_1,axiom,( ! [A] : ! [B] : ( m1_pnproc_1(B,A) => ( v1_relat_1(k7_pnproc_1(A,B)) & v1_funct_1(k7_pnproc_1(A,B)) ) ) )).
fof(dt_k7_polyeq_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => v1_xcmplx_0(k7_polyeq_5(A,B,C,D)) ) )).
fof(dt_k7_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => ( v1_relat_1(k7_polyform(A,B)) & v1_funct_1(k7_polyform(A,B)) & v1_finseq_1(k7_polyform(A,B)) ) ) )).
fof(dt_k7_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k7_polynom1(A,B,C,D)) & v1_funct_2(k7_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k7_polynom1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k7_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_finseq_1(E,k4_finseq_2(3,k4_ordinal1)) ) => m2_finseq_2(k7_polynom3(A,B,C,D,E),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) ) )).
fof(dt_k7_polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k7_polynom5(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k7_poset_1(A,B,C,D)) & v6_orders_2(k7_poset_1(A,B,C,D),B) & m1_subset_1(k7_poset_1(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_k7_poset_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( ~ v2_struct_0(k7_poset_2(A,B)) & v1_orders_2(k7_poset_2(A,B)) & v3_orders_2(k7_poset_2(A,B)) & v4_orders_2(k7_poset_2(A,B)) & v5_orders_2(k7_poset_2(A,B)) & v1_poset_1(k7_poset_2(A,B)) & l1_orders_2(k7_poset_2(A,B)) ) ) )).
fof(dt_k7_pralg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k7_pralg_1(A)) & m1_subset_1(k7_pralg_1(A),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0)))) ) ) )).
fof(dt_k7_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) & v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m2_finseq_1(k7_pre_poly(A,B,C),A) ) )).
fof(dt_k7_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => m1_subset_1(k7_prefer_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_k7_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => m1_prob_1(k7_prob_1(A,B,C,D),A,B) ) )).
fof(dt_k7_prob_3,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k9_setfam_1(A)) => m1_subset_1(k7_prob_3(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k7_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => m2_prob_1(k7_prob_4(A,B,C),A,k4_prob_4(A,B,C)) ) )).
fof(dt_k7_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & m1_subset_1(E,k4_finseq_2(B,A)) ) => m2_finseq_2(k7_prvect_1(A,B,C,D,E),A,k4_finseq_2(B,A)) ) )).
fof(dt_k7_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k7_prvect_3(A,B)) & v1_normsp_1(k7_prvect_3(A,B)) & l1_normsp_1(k7_prvect_3(A,B)) ) ) )).
fof(dt_k7_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k7_pscomp_1(A)) ) )).
fof(dt_k7_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k7_pua2mss1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k7_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k6_qc_lang1(A)) ) => v7_ordinal1(k7_qc_lang1(A,B)) ) )).
fof(dt_k7_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k9_qc_lang1(A)) ) => m1_subset_1(k7_qc_lang2(A,B,C,D),k9_qc_lang1(A)) ) )).
fof(dt_k7_qmax_1,axiom,( ! [A] : ! [B] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) ) => m1_prob_1(k7_qmax_1(A,B),k1_numbers,k12_prob_1) ) )).
fof(dt_k7_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => m1_subset_1(k7_quatern2(A),k1_quaterni) ) )).
fof(dt_k7_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => v1_quaterni(k7_quaterni(A)) ) )).
fof(dt_k7_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) ) => m1_subset_1(k7_quofield(A),k1_zfmisc_1(k1_zfmisc_1(k1_quofield(A)))) ) )).
fof(dt_k7_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,A) & m1_finseq_1(C,k3_radix_1(B)) ) => ( v3_card_1(k7_radix_1(A,B,C),A) & m2_finseq_1(k7_radix_1(A,B,C),k4_numbers) ) ) )).
fof(dt_k7_radix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m1_finseq_1(D,k4_radix_3(B)) ) => v1_int_1(k7_radix_3(A,B,C,D)) ) )).
fof(dt_k7_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m2_subset_1(k7_radix_5(A,B,C),k4_numbers,k3_radix_1(C)) ) )).
fof(dt_k7_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,k2_xcmplx_0(B,2)) & m1_finseq_1(D,k3_radix_1(C)) ) => m1_subset_1(k7_radix_6(A,B,C,D),k3_radix_1(C)) ) )).
fof(dt_k7_random_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) ) => m1_random_1(k7_random_1(A,B,C),A,B) ) )).
fof(dt_k7_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v1_relat_1(k7_random_3(A)) & v4_relat_1(k7_random_3(A),k4_ordinal1) & v1_funct_1(k7_random_3(A)) & v1_partfun1(k7_random_3(A),k4_ordinal1) & v6_random_3(k7_random_3(A),A) ) ) )).
fof(dt_k7_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(k7_ranknull(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l5_algstr_0(A) ) => m1_ratfunc1(k7_ratfunc1(A),A) ) )).
fof(dt_k7_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k7_real_3(A)) & v1_funct_2(k7_real_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k7_real_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k7_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k7_real_ns1(A)) & v1_bhsp_1(k7_real_ns1(A)) & l1_bhsp_1(k7_real_ns1(A)) ) ) )).
fof(dt_k7_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k7_relset_1(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(dt_k7_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => m1_subset_1(k7_relset_2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,C))) ) )).
fof(dt_k7_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => m1_subset_1(k7_rewrite2(A,B),k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) ) )).
fof(dt_k7_rfunct_1,axiom,( ! [A] : ! [B] : ( v1_funct_1(k7_rfunct_1(A,B)) & m1_subset_1(k7_rfunct_1(A,B),k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) )).
fof(dt_k7_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => m2_rfunct_3(k7_rfunct_3(A,B,C,D),A,k1_numbers,k3_rfunct_3(A,k1_numbers)) ) )).
fof(dt_k7_ringcat1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) & m1_ringcat1(D,B,C) & m1_ringcat1(E,A,B) ) => ( v2_ringcat1(k7_ringcat1(A,B,C,D,E)) & m1_ringcat1(k7_ringcat1(A,B,C,D,E),A,C) ) ) )).
fof(dt_k7_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) ) => m1_rlvect_2(k7_rlvect_2(A,B,C),A) ) )).
fof(dt_k7_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_rmod_4(D,A,B) ) => m1_rmod_4(k7_rmod_4(A,B,C,D),A,B) ) )).
fof(dt_k7_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & v7_robbins1(A) & l2_robbins1(A) ) => m1_subset_1(k7_robbins1(A),u1_struct_0(A)) ) )).
fof(dt_k7_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m1_finseq_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m2_finseq_1(k7_roughs_1(A,B,C),k1_numbers) ) )).
fof(dt_k7_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k7_roughs_2(A)) & v1_funct_2(k7_roughs_2(A),k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k7_roughs_2(A),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k7_rsspace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k7_rsspace(A,B),B) ) )).
fof(dt_k7_rsspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ~ v1_xboole_0(k7_rsspace4(A,B,C)) & m1_subset_1(k7_rsspace4(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k7_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k7_rusub_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k7_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) ) => m2_finseq_2(k7_rvsum_1(A,B),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k7_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => m2_finseq_1(k7_rvsum_2(A,B),k2_numbers) ) )).
fof(dt_k7_rvsum_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k7_rvsum_3(A,B,C,D,E)) & v1_funct_1(k7_rvsum_3(A,B,C,D,E)) ) ) )).
fof(dt_k7_scm_comp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_dtconstr(k1_scm_comp)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) ) => m1_dtconstr(k7_scm_comp(A,B),u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) ) )).
fof(dt_k7_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => v7_ordinal1(k7_scm_inst(A)) ) )).
fof(dt_k7_scmfsa_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) & m1_subset_1(B,k2_scmfsa_1) & v1_int_1(C) ) => m1_subset_1(k7_scmfsa_1(A,B,C),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) ) )).
fof(dt_k7_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k7_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k7_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => m1_subset_1(k7_scmfsa_i(A),k2_scm_inst) ) )).
fof(dt_k7_scmfsa_m,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k7_scmfsa_m(A,B,C,D),k1_zfmisc_1(k2_scmfsa_2)) ) )).
fof(dt_k7_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => m1_subset_1(k7_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k7_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( v1_relat_1(k7_scmpds_6(A,B,C)) & v4_relat_1(k7_scmpds_6(A,B,C),k4_ordinal1) & v5_relat_1(k7_scmpds_6(A,B,C),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k7_scmpds_6(A,B,C)) & v1_funct_1(k7_scmpds_6(A,B,C)) & v1_finset_1(k7_scmpds_6(A,B,C)) & v1_afinsq_1(k7_scmpds_6(A,B,C)) ) ) )).
fof(dt_k7_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => m1_subset_1(k7_scmpds_i(A),k2_scm_inst) ) )).
fof(dt_k7_scmring1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k1_scmringi(A)) & m1_subset_1(C,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) ) => m1_subset_1(k7_scmring1(A,B,C),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) ) )).
fof(dt_k7_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k7_scmring2(A,B,C),u1_compos_1(k1_scmring2(A))) ) )).
fof(dt_k7_scmringi,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k2_scm_inst) & m1_subset_1(C,u1_struct_0(A)) ) => m2_finseq_1(k7_scmringi(A,B,C),k2_xboole_0(k2_scm_inst,u1_struct_0(A))) ) )).
fof(dt_k7_scmyciel,axiom,( ! [A] : ! [B] : ( v4_scmyciel(A) => m1_subset_1(k7_scmyciel(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k7_seq_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => m2_finseq_1(k7_seq_4(A,B),k2_numbers) ) )).
fof(dt_k7_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k7_seqfunc(A,B,C)) & v1_funct_2(k7_seqfunc(A,B,C),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k7_seqfunc(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k7_series_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) ) => v1_xreal_0(k7_series_1(A,B,C)) ) )).
fof(dt_k7_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k7_setfam_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k7_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_funct_1(k7_setlim_2(A,B,C)) & v1_funct_2(k7_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k7_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k7_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,k5_finsub_1(A)) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(k7_setwiseo(A,B,C,D,E),B) ) )).
fof(dt_k7_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_ami_2(k7_sf_mastr(A)) & m1_subset_1(k7_sf_mastr(A),u1_struct_0(k1_scmfsa_2)) ) ) )).
fof(dt_k7_sgraph1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => m1_sgraph1(k7_sgraph1(A),k4_ordinal1) ) )).
fof(dt_k7_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matroid0(B) & m1_simplex0(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v1_pre_topc(k7_simplex0(A,B,C)) & v7_simplex0(k7_simplex0(A,B,C),A,B) & m2_simplex0(k7_simplex0(A,B,C),A,B) ) ) )).
fof(dt_k7_sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k7_sin_cos(A)) & v1_funct_2(k7_sin_cos(A),k4_ordinal1,k2_numbers) & m1_subset_1(k7_sin_cos(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k7_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k7_sin_cos7(A)) ) )).
fof(dt_k7_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k7_stacks_1(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k7_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => v1_card_1(k7_struct_0(A)) ) )).
fof(dt_k7_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => ( v1_sublemma(k7_sublemma(A,B,C),A) & m1_subset_1(k7_sublemma(A,B,C),k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) ) )).
fof(dt_k7_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_subset_1(k7_subset_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k7_substut1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) & m1_subset_1(D,k1_substut1(A)) ) => ( v1_finset_1(k7_substut1(A,B,C,D)) & m1_subset_1(k7_substut1(A,B,C,D),k1_substut1(A)) ) ) )).
fof(dt_k7_substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k1_substut1(A)) ) => ( v1_sublemma(k7_substut2(A,B,C,D),A) & m1_subset_1(k7_substut2(A,B,C,D),k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) ) )).
fof(dt_k7_supinf_2,axiom,( ! [A] : ( v2_membered(A) => m1_subset_1(k7_supinf_2(A),k6_numbers) ) )).
fof(dt_k7_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k7_tdlat_1(A)) & v1_funct_2(k7_tdlat_1(A),k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)) & m1_subset_1(k7_tdlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_tdlat_1(A),k5_tdlat_1(A)),k5_tdlat_1(A)))) ) ) )).
fof(dt_k7_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k7_tmap_1(A,B)) & v1_funct_2(k7_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B))) & m1_subset_1(k7_tmap_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B))))) ) ) )).
fof(dt_k7_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k7_topalg_1(A,B,C)) & v1_funct_2(k7_topalg_1(A,B,C),u1_struct_0(k2_borsuk_1(k17_borsuk_1,k17_borsuk_1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(k7_topalg_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k17_borsuk_1,k17_borsuk_1)),u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_k7_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_borsuk_2(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) ) => m1_borsuk_2(k7_topalg_4(A,B,C,D,E,F,G),A,C,D) ) )).
fof(dt_k7_topalg_5,axiom,( v1_funct_1(k7_topalg_5) & v1_funct_2(k7_topalg_5,u1_struct_0(k2_gr_cy_1),u1_struct_0(k5_topalg_1(k8_toprealb(2),k9_toprealb))) & m1_subset_1(k7_topalg_5,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_gr_cy_1),u1_struct_0(k5_topalg_1(k8_toprealb(2),k9_toprealb))))) )).
fof(dt_k7_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) & v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) ) => m1_borsuk_2(k7_topalg_7(A,B,C),A,B,B) ) )).
fof(dt_k7_topgen_3,axiom,( ! [A] : ! [B] : ( v1_pre_topc(k7_topgen_3(A,B)) & v2_pre_topc(k7_topgen_3(A,B)) & l1_pre_topc(k7_topgen_3(A,B)) ) )).
fof(dt_k7_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m3_topgrp_1(k7_topgrp_1(A,B),A) ) )).
fof(dt_k7_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(k7_topreal1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k7_toprealb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_pre_topc(k7_toprealb(A,B,C),k15_euclid(A)) ) )).
fof(dt_k7_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k7_toprealc(A,B,C),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k7_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => v7_ordinal1(k7_trees_1(A)) ) )).
fof(dt_k7_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & m1_finseq_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k7_trees_2(A,B,C)) & v1_funct_1(k7_trees_2(A,B,C)) & v3_trees_2(k7_trees_2(A,B,C)) ) ) )).
fof(dt_k7_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( v1_funct_1(k7_trees_3(A,B)) & v1_funct_2(k7_trees_3(A,B),k2_zfmisc_1(A,B),B) & m1_subset_1(k7_trees_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) ) )).
fof(dt_k7_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k5_trees_3(A)) ) => m2_finseq_1(k7_trees_4(A,B),k2_trees_3) ) )).
fof(dt_k7_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => m1_subset_1(k7_trees_9(A,B),k1_zfmisc_1(k3_trees_9(A))) ) )).
fof(dt_k7_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) => m1_subset_1(k7_turing_1(A,B),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) ) )).
fof(dt_k7_twoscomp,axiom,( v1_funct_1(k7_twoscomp) & v1_funct_2(k7_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k7_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k7_unialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_unialg_1(k7_unialg_2(A,B)) & m1_unialg_2(k7_unialg_2(A,B),A) ) ) )).
fof(dt_k7_uproots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_relat_1(k7_uproots(A,B)) & v4_relat_1(k7_uproots(A,B),u1_struct_0(A)) & v1_funct_1(k7_uproots(A,B)) & v1_partfun1(k7_uproots(A,B),u1_struct_0(A)) & v4_valued_0(k7_uproots(A,B)) & v2_pre_poly(k7_uproots(A,B)) ) ) )).
fof(dt_k7_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & m1_valuat_1(D,A,B) & m1_subset_1(E,k8_qc_lang1(A,C)) ) => m1_subset_1(k7_valuat_1(A,B,C,D,E),k2_margrel1(B)) ) )).
fof(dt_k7_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v1_funct_1(k7_valued_1(A,B)) ) ) )).
fof(dt_k7_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_vectsp_5(D,A,B,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))) ) => ( v1_funct_1(k7_vectsp10(A,B,C,D)) & ~ v3_funct_1(k7_vectsp10(A,B,C,D)) & ~ v1_zfmisc_1(k7_vectsp10(A,B,C,D)) & v1_funct_2(k7_vectsp10(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(k7_vectsp10(A,B,C,D),B,A) & v1_hahnban1(k7_vectsp10(A,B,C,D),A,B) & m1_subset_1(k7_vectsp10(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k7_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) ) => m1_vectsp_6(k7_vectsp_6(A,B,C),A,B) ) )).
fof(dt_k7_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k7_vsdiff_1(A,B,C,D,E,F)) & m1_subset_1(k7_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) ) )).
fof(dt_k7_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k7_waybel10(A)) & v1_orders_2(k7_waybel10(A)) & v4_yellow_0(k7_waybel10(A),k2_waybel10(A)) & m1_yellow_0(k7_waybel10(A),k2_waybel10(A)) ) ) )).
fof(dt_k7_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_pre_topc(k7_waybel18(A,B,C),B) ) )).
fof(dt_k7_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) & v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) & m2_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ) )).
fof(dt_k7_waybel_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k7_waybel_1(A,B),u1_struct_0(A)) ) )).
fof(dt_k7_waybel_4,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & v2_waybel_4(B,A) & v3_waybel_4(B,A) & v4_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k7_waybel_4(A,B)) & v1_funct_2(k7_waybel_4(A,B),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(k7_waybel_4(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) ) )).
fof(dt_k7_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m2_pboole(k7_waybel_5(A,B,C,D),C,k7_funcop_1(C,A),k7_funcop_1(C,B)) ) )).
fof(dt_k7_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k7_weddwitt(A,B)) & v13_algstr_0(k7_weddwitt(A,B)) & v2_rlvect_1(k7_weddwitt(A,B)) & v3_rlvect_1(k7_weddwitt(A,B)) & v4_rlvect_1(k7_weddwitt(A,B)) & v7_vectsp_1(k7_weddwitt(A,B),k4_weddwitt(A)) & v8_vectsp_1(k7_weddwitt(A,B),k4_weddwitt(A)) & v9_vectsp_1(k7_weddwitt(A,B),k4_weddwitt(A)) & v10_vectsp_1(k7_weddwitt(A,B),k4_weddwitt(A)) & v11_vectsp_1(k7_weddwitt(A,B),k4_weddwitt(A)) & l1_vectsp_1(k7_weddwitt(A,B),k4_weddwitt(A)) ) ) )).
fof(dt_k7_weierstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => v1_xreal_0(k7_weierstr(A,B,C)) ) )).
fof(dt_k7_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k7_yellow21(A)) & v2_altcat_1(k7_yellow21(A)) & v6_altcat_1(k7_yellow21(A)) & v2_altcat_2(k7_yellow21(A),k6_yellow21(A)) & v3_altcat_2(k7_yellow21(A),k6_yellow21(A)) & m1_altcat_2(k7_yellow21(A),k6_yellow21(A)) ) ) )).
fof(dt_k7_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k7_yellow_3(A,B,C,D),u1_struct_0(k3_yellow_3(A,B))) ) )).
fof(dt_k7_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m3_yellow_6(C,u1_struct_0(B),A) ) => ( ~ v2_struct_0(k7_yellow_6(A,B,C)) & v4_orders_2(k7_yellow_6(A,B,C)) & v6_waybel_0(k7_yellow_6(A,B,C),A) & v7_waybel_0(k7_yellow_6(A,B,C)) & l1_waybel_0(k7_yellow_6(A,B,C),A) ) ) )).
fof(dt_k7_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zf_lang) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k7_zf_lang(A,B),k4_ordinal1) ) )).
fof(dt_k7_zf_model,axiom,( v1_zf_lang(k7_zf_model) & m2_finseq_1(k7_zf_model,k4_ordinal1) )).
fof(dt_k7_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k7_zmodul01(A,B,C)) & m1_zmodul01(k7_zmodul01(A,B,C),A) ) ) )).
fof(dt_k7_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ( v1_funct_1(k7_zmodul02(A,B)) & v1_funct_2(k7_zmodul02(A,B),k2_zfmisc_1(k6_zmodul02(A,B),k6_zmodul02(A,B)),k6_zmodul02(A,B)) & m1_subset_1(k7_zmodul02(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_zmodul02(A,B),k6_zmodul02(A,B)),k6_zmodul02(A,B)))) ) ) )).
fof(dt_k7_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul02(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_zmodul05(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_zmodul02(k7_zmodul05(A,B,C,D),B) ) )).
fof(dt_k80_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k80_valued_2(A,B,C,D,E,F)) & m1_subset_1(k80_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k6_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k81_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k81_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k81_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k82_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k82_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k82_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k83_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k83_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k83_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k83_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(A) & v1_valued_2(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ( v1_relat_1(k83_valued_2(A,B,C,D)) & v1_funct_1(k83_valued_2(A,B,C,D)) ) ) )).
fof(dt_k84_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) ) => ( v15_aofa_000(k84_aofa_i00(A,B,C,D,E,F),A) & m1_subset_1(k84_aofa_i00(A,B,C,D,E,F),u1_struct_0(A)) ) ) )).
fof(dt_k84_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k84_valued_2(A,B,C,D,E,F)) & m1_subset_1(k84_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k2_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k85_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k85_valued_2(A,B,C,D,E,F)) & m1_subset_1(k85_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k6_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k89_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v4_card_3(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & v2_aofa_i00(B) & l1_unialg_1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) & v1_aofa_i00(D,B,A,C) & m1_aofa_000(D,B,k9_funct_2(A,k4_numbers),C) & m1_subset_1(E,k9_funct_2(A,k4_numbers)) & m1_subset_1(F,u1_struct_0(B)) ) => m2_funct_2(k89_aofa_i00(A,B,C,D,E,F),A,k4_numbers,k9_funct_2(A,k4_numbers)) ) )).
fof(dt_k89_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(A) & v1_valued_2(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) ) => ( v1_relat_1(k89_valued_2(A,B,C,D)) & v1_funct_1(k89_valued_2(A,B,C,D)) ) ) )).
fof(dt_k8_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_abcmiz_0(A)) ) => m1_subset_1(k8_abcmiz_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k8_abcmiz_a,axiom,( m2_subset_1(k8_abcmiz_a,k20_abcmiz_1,k5_abcmiz_a) )).
fof(dt_k8_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & l2_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k8_absred_0(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k8_aescip_1,axiom,( v1_funct_1(k8_aescip_1) & v1_funct_2(k8_aescip_1,k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m1_subset_1(k8_aescip_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))))) )).
fof(dt_k8_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k8_afinsq_1(A)) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => m1_subset_1(k8_afinsq_2(A,B),k8_afinsq_1(A)) ) )).
fof(dt_k8_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ~ v1_xboole_0(k8_afproj(A)) ) )).
fof(dt_k8_algstr_0,axiom,( l4_algstr_0(k8_algstr_0) )).
fof(dt_k8_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & v2_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k8_algstr_4(A,B)) & v1_funct_2(k8_algstr_4(A,B),k2_zfmisc_1(B,B),B) & m1_subset_1(k8_algstr_4(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) ) )).
fof(dt_k8_altcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k8_altcat_1(A,B),k1_altcat_1(A,B,B)) ) )).
fof(dt_k8_ami_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k3_scm_inst) & m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) ) => m1_subset_1(k8_ami_2(A,B),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) ) )).
fof(dt_k8_ami_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => m1_subset_1(k8_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k8_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k9_funct_2(A,A)) & m1_subset_1(D,k9_funct_2(A,A)) ) => m2_funct_2(k8_aofa_000(A,B,C,D),A,A,k9_funct_2(A,A)) ) )).
fof(dt_k8_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( v1_relat_1(k8_aofa_a00(A,B,C,D,E,F,G,H)) & v1_funct_1(k8_aofa_a00(A,B,C,D,E,F,G,H)) & v1_finseq_1(k8_aofa_a00(A,B,C,D,E,F,G,H)) ) )).
fof(dt_k8_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) ) => m1_subset_1(k8_aofa_a01(A,B,C,D,E,F,G,H),u1_struct_0(E)) ) )).
fof(dt_k8_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l4_aofa_l00(C,A,B) & m1_subset_1(D,u4_struct_0(A)) & m1_subset_1(E,k3_msualg_1(A,D,C)) & m1_subset_1(F,k3_card_3(B)) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,C))) ) => m1_msafree4(k8_aofa_l00(A,B,C,D,E,F,G),k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,C)),k3_msualg_1(A,D,C)) ) )).
fof(dt_k8_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => m1_subset_1(k8_armstrng(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) )).
fof(dt_k8_arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_arytm_2) & m1_subset_1(B,k2_arytm_2) ) => m1_subset_1(k8_arytm_2(A,B),k2_arytm_2) ) )).
fof(dt_k8_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => m1_subset_1(k8_arytm_3(A,B),k5_arytm_3) ) )).
fof(dt_k8_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => m1_funct_2(k8_asympt_0(A),k4_ordinal1,k1_numbers) ) )).
fof(dt_k8_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_partfun1(C,k15_pre_poly(k1_nat_1(A,1))) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_nat_1(A,1)),k15_pre_poly(k1_nat_1(A,1))))) & v1_partfun1(D,k15_pre_poly(k7_nat_d(B,k1_nat_1(A,1)))) & v1_relat_2(D) & v4_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k7_nat_d(B,k1_nat_1(A,1))),k15_pre_poly(k7_nat_d(B,k1_nat_1(A,1)))))) ) => ( v1_partfun1(k8_bagorder(A,B,C,D),k15_pre_poly(B)) & v1_relat_2(k8_bagorder(A,B,C,D)) & v4_relat_2(k8_bagorder(A,B,C,D)) & v8_relat_2(k8_bagorder(A,B,C,D)) & m1_subset_1(k8_bagorder(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) ) ) )).
fof(dt_k8_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_2(B,A) ) => m2_subset_1(k8_bcialg_2(A,B),k1_zfmisc_1(u1_struct_0(A)),k8_eqrel_1(u1_struct_0(A),B)) ) )).
fof(dt_k8_bcialg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k8_bcialg_4(A,B)) & m1_subset_1(k8_bcialg_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k8_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m4_bcialg_2(D,A,C) ) => m2_subset_1(k8_bcialg_6(A,B,C,D),u1_struct_0(A),k6_bcialg_6(A,B,C,D)) ) )).
fof(dt_k8_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & m1_subset_1(E,u1_struct_0(C)) ) => ( v1_funct_1(k8_bilinear(A,B,C,D,E)) & v1_funct_2(k8_bilinear(A,B,C,D,E),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(k8_bilinear(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_k8_binarith,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => m1_subset_1(k8_binarith(A,B,C),k5_margrel1) ) )).
fof(dt_k8_borsuk_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v1_funct_1(k8_borsuk_1(A,B)) & v1_funct_2(k8_borsuk_1(A,B),k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(k8_borsuk_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_k8_borsuk_6,axiom,( m1_subset_1(k8_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) )).
fof(dt_k8_borsuk_7,axiom,( m1_subset_1(k8_borsuk_7,u1_struct_0(k8_toprealb(3))) )).
fof(dt_k8_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k8_bvfunc_1(A,B)) & v1_funct_1(k8_bvfunc_1(A,B)) ) ) )).
fof(dt_k8_c0sp1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k8_c0sp1(A,B)) & v1_funct_2(k8_c0sp1(A,B),A,k1_numbers) & m1_subset_1(k8_c0sp1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k8_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k8_c0sp2(A)) & v1_funct_2(k8_c0sp2(A),k6_c0sp2(A),k1_numbers) & m1_subset_1(k8_c0sp2(A),k1_zfmisc_1(k2_zfmisc_1(k6_c0sp2(A),k1_numbers))) ) ) )).
fof(dt_k8_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k8_cat_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k8_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u4_struct_0(A)) & m1_subset_1(D,u4_struct_0(B)) ) => m1_subset_1(k8_cat_2(A,B,C,D),u4_struct_0(k6_cat_2(A,B))) ) )).
fof(dt_k8_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & v1_funct_2(C,B,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,B,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) => ( v1_funct_1(k8_cat_3(A,B,C,D)) & v1_funct_2(k8_cat_3(A,B,C,D),B,u4_struct_0(A)) & m1_subset_1(k8_cat_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,u4_struct_0(A)))) ) ) )).
fof(dt_k8_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(k8_cat_4(A,B,C),A,k2_cat_4(A,B,C),C) ) )).
fof(dt_k8_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_cat_1(k8_cat_5(A,B),k7_cat_5(k3_graph_1(A,B)),k7_cat_5(k4_graph_1(A,B))) ) )).
fof(dt_k8_cat_6,axiom,( ! [A] : ! [B] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k1_cat_6(A)) ) => m1_subset_1(k8_cat_6(A,B),k6_cat_6(A)) ) )).
fof(dt_k8_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_cat_6(k8_cat_7(A,B,C,D,E)) & v8_cat_6(k8_cat_7(A,B,C,D,E)) & v9_cat_6(k8_cat_7(A,B,C,D,E)) & v10_cat_6(k8_cat_7(A,B,C,D,E)) & l1_cat_6(k8_cat_7(A,B,C,D,E)) ) ) )).
fof(dt_k8_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(k8_catalg_1(A,B),u4_struct_0(k3_catalg_1(A))) ) )).
fof(dt_k8_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k8_cc0sp2(A)) & v1_funct_2(k8_cc0sp2(A),k6_cc0sp2(A),k1_numbers) & m1_subset_1(k8_cc0sp2(A),k1_zfmisc_1(k2_zfmisc_1(k6_cc0sp2(A),k1_numbers))) ) ) )).
fof(dt_k8_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_cfuncdom(k8_cfuncdom(A)) & l1_cfuncdom(k8_cfuncdom(A)) ) ) )).
fof(dt_k8_chain_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) ) => m2_subset_1(k8_chain_1(A,B),k1_zfmisc_1(k1_euclid(A)),k4_chain_1(A,B,A)) ) )).
fof(dt_k8_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) & m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) ) => m1_subset_1(k8_circuit2(A,B,C,D),k4_card_3(u3_msualg_1(A,B))) ) )).
fof(dt_k8_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => m1_subset_1(k8_clopban1(A,B),k1_zfmisc_1(u1_struct_0(k6_clopban1(A,B)))) ) )).
fof(dt_k8_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => l1_cfuncdom(k8_clopban2(A)) ) )).
fof(dt_k8_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) & v1_funct_1(D) & v1_funct_2(D,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) ) => ( v1_funct_1(k8_closure2(A,B,C,D)) & v1_funct_2(k8_closure2(A,B,C,D),k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(k8_closure2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) ) ) )).
fof(dt_k8_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_coh_sp(A)) => m1_subset_1(k8_coh_sp(A,B),k5_coh_sp(A)) ) )).
fof(dt_k8_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(k8_cohsp_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k3_tarski(B)))) ) )).
fof(dt_k8_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & v3_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v5_combgras(k8_combgras(A,B,C),k1_combgras(A,B),k1_combgras(A,B)) & l1_combgras(k8_combgras(A,B,C),k1_combgras(A,B),k1_combgras(A,B)) ) ) )).
fof(dt_k8_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xcmplx_0(k8_complex1(A)) ) )).
fof(dt_k8_complsp2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => m1_subset_1(k8_complsp2(A,B),k2_numbers) ) )).
fof(dt_k8_compos_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) & m1_subset_1(B,A) & v7_ordinal1(C) ) => m1_subset_1(k8_compos_0(A,B,C),A) ) )).
fof(dt_k8_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => ( ~ v1_xboole_0(k8_compos_1(A,B,C)) & v1_relat_1(k8_compos_1(A,B,C)) & v4_relat_1(k8_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k8_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k8_compos_1(A,B,C)) & v1_finset_1(k8_compos_1(A,B,C)) & v1_afinsq_1(k8_compos_1(A,B,C)) & v3_compos_1(k8_compos_1(A,B,C),A) & v4_compos_1(k8_compos_1(A,B,C),A) ) ) )).
fof(dt_k8_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k4_ordinal1)) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => m2_finseq_2(k8_comput_1(A,B,C,D),k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) ) )).
fof(dt_k8_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k8_comseq_3(A)) & v1_funct_2(k8_comseq_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k8_comseq_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k8_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => m1_conlat_1(k8_conlat_1(A),A) ) )).
fof(dt_k8_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & l2_conlat_1(B,A) ) => ( v3_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) & l2_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) ) ) )).
fof(dt_k8_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_convex4(B,A) ) => m1_convex4(k8_convex4(A,B),A) ) )).
fof(dt_k8_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k8_cqc_lang(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k8_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))))) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_funct_2(k8_cqc_sim1(A,B,C),k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) ) )).
fof(dt_k8_csspace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k8_csspace(A,B),B) ) )).
fof(dt_k8_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( v1_funct_1(k8_csspace4(A,B)) & v1_funct_2(k8_csspace4(A,B),k4_csspace4(A,B),k1_numbers) & m1_subset_1(k8_csspace4(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_csspace4(A,B),k1_numbers))) ) ) )).
fof(dt_k8_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k8_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k8_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v1_int_1(C) ) => m2_finseq_1(k8_descip_1(A,B,C),A) ) )).
fof(dt_k8_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(D,k4_ordinal1) ) => m1_subset_1(k8_dickson(A,B,C,D),k4_ordinal1) ) )).
fof(dt_k8_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k8_diff_1(A,B)) & v1_funct_2(k8_diff_1(A,B),k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(k8_diff_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) ) ) )).
fof(dt_k8_dist_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_matrprob(B) & m1_finseq_1(B,k1_numbers) ) => m2_subset_1(k8_dist_1(A,B),k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) )).
fof(dt_k8_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => m1_subset_1(k8_domain_1(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k8_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & l1_lang1(A) & m1_subset_1(B,k6_dtconstr(A)) ) => m1_dtconstr(k8_dtconstr(A,B),u1_struct_0(A),k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) ) )).
fof(dt_k8_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k8_dualsp01(A)) & v13_algstr_0(k8_dualsp01(A)) & v1_rlvect_1(k8_dualsp01(A)) & v2_rlvect_1(k8_dualsp01(A)) & v3_rlvect_1(k8_dualsp01(A)) & v4_rlvect_1(k8_dualsp01(A)) & v5_rlvect_1(k8_dualsp01(A)) & v6_rlvect_1(k8_dualsp01(A)) & v7_rlvect_1(k8_dualsp01(A)) & v8_rlvect_1(k8_dualsp01(A)) & l1_rlvect_1(k8_dualsp01(A)) ) ) )).
fof(dt_k8_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => ( v1_partfun1(k8_ec_pf_1(A,B,C),k6_ec_pf_1(A,B,C)) & v3_relat_2(k8_ec_pf_1(A,B,C)) & v8_relat_2(k8_ec_pf_1(A,B,C)) & m1_subset_1(k8_ec_pf_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A,B,C),k6_ec_pf_1(A,B,C)))) ) ) )).
fof(dt_k8_ec_pf_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) & m1_subset_1(B,k1_ec_pf_2(A)) ) => ( v1_funct_1(k8_ec_pf_2(A,B)) & v1_funct_2(k8_ec_pf_2(A,B),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) & m1_subset_1(k8_ec_pf_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))))) ) ) )).
fof(dt_k8_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k8_ens_1(A)) & v1_funct_2(k8_ens_1(A),k2_ens_1(A),A) & m1_subset_1(k8_ens_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A),A))) ) ) )).
fof(dt_k8_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => m2_finseq_1(k8_entropy1(A),k1_numbers) ) )).
fof(dt_k8_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_eqrel_1(k8_eqrel_1(A,B),A) ) )).
fof(dt_k8_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => m2_finseq_2(k8_euclid(A,B,C),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k8_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k8_euclid_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k8_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k8_euclid_7(A),k1_zfmisc_1(k1_euclid(A))) ) )).
fof(dt_k8_euclid_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => m2_finseq_2(k8_euclid_8(A,B,C,D),k1_numbers,k1_euclid(3)) ) )).
fof(dt_k8_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => v7_ordinal1(k8_extpro_1(A,B,C,D)) ) )).
fof(dt_k8_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ( ~ v2_struct_0(k8_facirc_1(A,B,C,D)) & ~ v11_struct_0(k8_facirc_1(A,B,C,D)) & v1_msualg_1(k8_facirc_1(A,B,C,D)) & v1_circcomb(k8_facirc_1(A,B,C,D)) & v2_circcomb(k8_facirc_1(A,B,C,D)) & v3_circcomb(k8_facirc_1(A,B,C,D)) & l1_msualg_1(k8_facirc_1(A,B,C,D)) ) ) )).
fof(dt_k8_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k8_ff_siec(A)) ) )).
fof(dt_k8_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_relat_1(k8_filter_0(A,B)) ) )).
fof(dt_k8_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => v1_relat_1(k8_filter_1(A)) ) )).
fof(dt_k8_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k8_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k8_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k8_finseq_1(A,B,C),A) ) )).
fof(dt_k8_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_2(B,A) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(D) ) => m2_finseq_1(k8_finseq_2(A,B,C,D),A) ) )).
fof(dt_k8_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => m2_finseq_1(k8_finseq_8(A,B,C),A) ) )).
fof(dt_k8_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k8_fintopo2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k8_fintopo3(A,B)) & v1_funct_2(k8_fintopo3(A,B),k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(k8_fintopo3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) ) )).
fof(dt_k8_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => m1_subset_1(k8_flang_1(A,B),k1_zfmisc_1(k3_catalan2(A))) ) )).
fof(dt_k8_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_relat_1(k8_fomodel0(A)) & v1_funct_1(k8_fomodel0(A)) ) ) )).
fof(dt_k8_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & m1_subset_1(D,k35_fomodel1(A)) ) => m1_subset_1(k8_fomodel2(A,B,C,D),B) ) )).
fof(dt_k8_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v7_ordinal1(D) ) => m1_subset_1(k8_fomodel3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(D,A),k4_finseq_2(D,B)))) ) )).
fof(dt_k8_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => m1_subset_1(k8_fomodel4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),k35_fomodel1(A)))) ) )).
fof(dt_k8_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => m1_subset_1(k8_freealg(A,B),k1_zfmisc_1(u1_struct_0(k7_freealg(A,B)))) ) )).
fof(dt_k8_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v2_struct_0(k8_fscirc_1(A,B,C)) & ~ v11_struct_0(k8_fscirc_1(A,B,C)) & v1_msualg_1(k8_fscirc_1(A,B,C)) & v1_circcomb(k8_fscirc_1(A,B,C)) & v2_circcomb(k8_fscirc_1(A,B,C)) & v3_circcomb(k8_fscirc_1(A,B,C)) & l1_msualg_1(k8_fscirc_1(A,B,C)) ) )).
fof(dt_k8_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => m1_eqrel_1(k8_fsm_1(A,B,C),u1_struct_0(C)) ) )).
fof(dt_k8_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( v3_msualg_1(k8_ftacell1(A,B,C,D,E),k7_ftacell1(A,B,C,D,E)) & v4_msafree2(k8_ftacell1(A,B,C,D,E),k7_ftacell1(A,B,C,D,E)) & v4_circcomb(k8_ftacell1(A,B,C,D,E),k7_ftacell1(A,B,C,D,E)) & v6_circcomb(k8_ftacell1(A,B,C,D,E),k7_ftacell1(A,B,C,D,E)) & l3_msualg_1(k8_ftacell1(A,B,C,D,E),k7_ftacell1(A,B,C,D,E)) ) )).
fof(dt_k8_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => ( v1_funct_1(k8_funcop_1(A,B,C)) & v1_funct_2(k8_funcop_1(A,B,C),B,A) & m1_subset_1(k8_funcop_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k8_funcsdom,axiom,( ! [A] : m2_funct_2(k8_funcsdom(A),A,k1_numbers,k9_funct_2(A,k1_numbers)) )).
fof(dt_k8_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_relat_1(E) & v5_relat_1(E,B) & v1_funct_1(E) ) => ( v1_funct_1(k8_funct_2(A,B,C,D,E)) & v1_funct_2(k8_funct_2(A,B,C,D,E),A,B) & m1_subset_1(k8_funct_2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(dt_k8_funct_3,axiom,( ! [A] : ! [B] : ( v1_relat_1(k8_funct_3(A,B)) & v1_funct_1(k8_funct_3(A,B)) ) )).
fof(dt_k8_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v1_funct_1(k8_funct_4(A,B,C,D)) & m1_subset_1(k8_funct_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) ) ) )).
fof(dt_k8_funct_5,axiom,( v1_funct_1(k8_funct_5) & v1_funct_2(k8_funct_5,k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)) & m1_subset_1(k8_funct_5,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)))) )).
fof(dt_k8_funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k8_funct_6(A,B)) & v1_funct_1(k8_funct_6(A,B)) ) ) )).
fof(dt_k8_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v7_ordinal1(B) ) => v1_relat_1(k8_funct_7(A,B)) ) )).
fof(dt_k8_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & v11_functor0(C,A,B) & l2_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,k1_altcat_1(A,D,E)) ) => m1_subset_1(k8_functor0(A,B,C,D,E,F),k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D))) ) )).
fof(dt_k8_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & m1_functor3(E,A,B,C,D) ) => m1_functor3(k8_functor3(A,B,C,D,E),A,B,D,C) ) )).
fof(dt_k8_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_fvaluat1(B,A) ) => ( ~ v1_xboole_0(k8_fvaluat1(A,B)) & v1_ideal_1(k8_fvaluat1(A,B),k7_fvaluat1(A,B)) & v2_ideal_1(k8_fvaluat1(A,B),k7_fvaluat1(A,B)) & v3_ideal_1(k8_fvaluat1(A,B),k7_fvaluat1(A,B)) & m1_subset_1(k8_fvaluat1(A,B),k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A,B)))) ) ) )).
fof(dt_k8_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,k4_finseq_2(A,u1_struct_0(B))) ) => m2_finseq_2(k8_fvsum_1(A,B,C,D),u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) ) )).
fof(dt_k8_gaussint,axiom,( m1_subset_1(k8_gaussint,k1_zfmisc_1(k2_numbers)) )).
fof(dt_k8_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) & m2_gcd_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => m1_subset_1(k8_gcd_1(A,B,C,D,E,F),u1_struct_0(A)) ) )).
fof(dt_k8_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) ) => m1_genealg1(k8_genealg1(A,B,C,D,E),A) ) )).
fof(dt_k8_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_geomtrap(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k8_geomtrap(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k8_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k8_gfacirc1(A,B,C),k7_gfacirc1(A,B,C)) & v4_msafree2(k8_gfacirc1(A,B,C),k7_gfacirc1(A,B,C)) & v4_circcomb(k8_gfacirc1(A,B,C),k7_gfacirc1(A,B,C)) & v6_circcomb(k8_gfacirc1(A,B,C),k7_gfacirc1(A,B,C)) & l3_msualg_1(k8_gfacirc1(A,B,C),k7_gfacirc1(A,B,C)) ) )).
fof(dt_k8_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => m2_subset_1(k8_gfacirc2(A,B,C,D),u1_struct_0(k5_gfacirc2(B,C,D)),k3_msafree2(k5_gfacirc2(B,C,D))) ) )).
fof(dt_k8_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => m3_glib_001(k8_glib_001(A,B,C,D),A) ) )).
fof(dt_k8_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & m3_glib_001(B,A) ) => ( v1_relat_1(k8_glib_003(A,B)) & v1_funct_1(k8_glib_003(A,B)) & v1_finseq_1(k8_glib_003(A,B)) ) ) )).
fof(dt_k8_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_subset_1(k8_glib_004(A,B),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k8_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m3_glib_001(C,A) ) => m2_finseq_1(k8_glib_005(A,B,C),k4_ordinal1) ) )).
fof(dt_k8_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k8_graph_1(A,B),k4_ordinal1) ) )).
fof(dt_k8_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,k4_numbers) & v7_ordinal1(B) & v7_ordinal1(C) ) => v7_ordinal1(k8_graph_2(A,B,C)) ) )).
fof(dt_k8_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k8_graph_3(A,B,C)) & v1_graph_1(k8_graph_3(A,B,C)) & l1_graph_1(k8_graph_3(A,B,C)) ) ) )).
fof(dt_k8_graph_5,axiom,( m1_subset_1(k8_graph_5,k1_zfmisc_1(k1_numbers)) )).
fof(dt_k8_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) & m1_subset_1(B,k3_finseq_2(k1_numbers)) & v7_ordinal1(C) ) => m1_subset_1(k8_graphsp(A,B,C),k4_ordinal1) ) )).
fof(dt_k8_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( ~ v2_struct_0(k8_grcat_1(A)) & v13_algstr_0(k8_grcat_1(A)) & v3_rlvect_1(k8_grcat_1(A)) & v4_rlvect_1(k8_grcat_1(A)) & l2_algstr_0(k8_grcat_1(A)) ) ) )).
fof(dt_k8_group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k8_group_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k8_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k8_group_10(A,B,C,D)) & v1_funct_2(k8_group_10(A,B,C,D),k15_group_2(A,C),k15_group_2(A,C)) & m1_subset_1(k8_group_10(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k15_group_2(A,C),k15_group_2(A,C)))) ) ) )).
fof(dt_k8_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => ( v15_algstr_0(k8_group_19(A,B,C)) & m1_group_6(k8_group_19(A,B,C),k2_group_7(A,B),k3_group_7(A,B)) ) ) )).
fof(dt_k8_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => m1_subset_1(k8_group_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k8_group_3(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k8_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k8_group_4(A,B,C)) & m1_group_2(k8_group_4(A,B,C),A) ) ) )).
fof(dt_k8_group_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k8_group_5(A,B,C)) & m1_group_2(k8_group_5(A,B,C),A) ) ) )).
fof(dt_k8_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) ) => ( v1_funct_1(k8_group_6(A,B)) & v1_funct_2(k8_group_6(A,B),u1_struct_0(A),u1_struct_0(k5_group_6(A,B))) & m1_subset_1(k8_group_6(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_group_6(A,B))))) ) ) )).
fof(dt_k8_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ( v1_funct_1(k8_group_9(A,B,C)) & v1_funct_2(k8_group_9(A,B,C),k2_zfmisc_1(k7_group_9(A,B,C),k7_group_9(A,B,C)),k7_group_9(A,B,C)) & m1_subset_1(k8_group_9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_group_9(A,B,C),k7_group_9(A,B,C)),k7_group_9(A,B,C)))) ) ) )).
fof(dt_k8_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k8_hahnban1(A,B)) & v7_vectsp_1(k8_hahnban1(A,B),A) & l1_vectsp_1(k8_hahnban1(A,B),A) ) ) )).
fof(dt_k8_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v2_bilinear(B,k1_complfld,A,A) & v4_bilinear(B,k1_complfld,A,A) & v3_hermitan(B,A) & v5_hermitan(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k8_hermitan(A,B)) & v1_funct_2(k8_hermitan(A,B),k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B))),u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B)))),u1_struct_0(k1_complfld)) & v2_bilinear(k8_hermitan(A,B),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B)),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B))) & v4_bilinear(k8_hermitan(A,B),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B)),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B))) & v3_hermitan(k8_hermitan(A,B),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B))) & v5_hermitan(k8_hermitan(A,B),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B))) & m1_subset_1(k8_hermitan(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B))),u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,A,B)))),u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k8_heyting1,axiom,( ! [A] : ( v1_funct_1(k8_heyting1(A)) & v1_funct_2(k8_heyting1(A),u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))) & m1_subset_1(k8_heyting1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))))) ) )).
fof(dt_k8_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( v1_funct_1(k8_heyting2(A,B)) & v1_funct_2(k8_heyting2(A,B),k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B))) & m1_subset_1(k8_heyting2(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B))))) ) ) )).
fof(dt_k8_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_hilbert3(k8_hilbert4(A),k7_hilbert4(A)) ) )).
fof(dt_k8_huffman1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_huffman1) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v2_bintree1(A) & v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k8_huffman1(A,B,C)) & v5_relat_1(k8_huffman1(A,B,C),k1_huffman1) & v1_funct_1(k8_huffman1(A,B,C)) & v1_finset_1(k8_huffman1(A,B,C)) & v3_trees_2(k8_huffman1(A,B,C)) & v2_bintree1(k8_huffman1(A,B,C)) ) ) )).
fof(dt_k8_hurwitz,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & m1_subset_1(B,u1_struct_0(k1_complfld)) ) => ( v1_funct_1(k8_hurwitz(A,B)) & v1_funct_2(k8_hurwitz(A,B),k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(k8_hurwitz(A,B),k1_complfld) & m1_subset_1(k8_hurwitz(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) ) )).
fof(dt_k8_idea_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k8_idea_1(A,B)) ) )).
fof(dt_k8_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k8_ideal_1(A,B)) & v1_ideal_1(k8_ideal_1(A,B),A) & v2_ideal_1(k8_ideal_1(A,B),A) & m1_subset_1(k8_ideal_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k8_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m3_index_1(E,A,B,C,D) ) => m2_index_1(k8_index_1(A,B,C,D,E),B,k3_relat_1(C,k1_xfamily(E)),k3_relat_1(D,k1_xfamily(E))) ) )).
fof(dt_k8_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k8_int_3(A)) & v1_funct_2(k8_int_3(A),k5_card_1(A),k5_card_1(A)) & m1_subset_1(k8_int_3(A),k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k5_card_1(A)))) ) ) )).
fof(dt_k8_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( v1_funct_1(k8_integr15(A,B,C,D)) & m1_subset_1(k8_integr15(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) ) )).
fof(dt_k8_integr16,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => m1_subset_1(k8_integr16(A,B,C),k2_numbers) ) )).
fof(dt_k8_integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k8_integra1(A,B)) & v1_funct_2(k8_integra1(A,B),k1_integra1(A),k1_numbers) & m1_subset_1(k8_integra1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A),k1_numbers))) ) ) )).
fof(dt_k8_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m2_subset_1(k8_interva1(A,B),k1_zfmisc_1(A),B) ) )).
fof(dt_k8_intpro_1,axiom,( m1_subset_1(k8_intpro_1,k1_zfmisc_1(k1_intpro_1)) )).
fof(dt_k8_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) ) => m2_cat_1(k8_isocat_2(A,B,C,D,E),A,k6_cat_2(B,C)) ) )).
fof(dt_k8_jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(k8_jgraph_4(A,B),u1_struct_0(k15_euclid(2))) ) )).
fof(dt_k8_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => m1_subset_1(k8_jgraph_6(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k8_jordan,axiom,( v1_funct_1(k8_jordan) & v1_funct_2(k8_jordan,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers) & m1_subset_1(k8_jordan,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))),k1_numbers))) )).
fof(dt_k8_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k8_jordan5d(A)) ) )).
fof(dt_k8_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ~ v1_xboole_0(k8_jordan6(A)) & m1_subset_1(k8_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(dt_k8_knaster,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ~ v2_struct_0(k8_knaster(A,B)) & v3_lattices(k8_knaster(A,B)) & v10_lattices(k8_knaster(A,B)) & l3_lattices(k8_knaster(A,B)) ) ) )).
fof(dt_k8_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) ) => m1_subset_1(k8_kolmog01(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )).
fof(dt_k8_lang1,axiom,( ! [A] : ! [B] : ( v2_lang1(k8_lang1(A,B)) & l2_lang1(k8_lang1(A,B)) ) )).
fof(dt_k8_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => m2_finseq_1(k8_laplace(A,B,C,D),u1_struct_0(C)) ) )).
fof(dt_k8_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => m1_subset_1(k8_lattad_1(A),u1_struct_0(A)) ) )).
fof(dt_k8_lattice3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k8_lattice3(A,B),u1_struct_0(k7_lattice3(A))) ) )).
fof(dt_k8_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => m1_subset_1(k8_latticea(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k8_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(A,k9_funct_2(C,B))) ) => m2_funct_2(k8_lexbfs(A,B,C,D),C,B,k9_funct_2(C,B)) ) )).
fof(dt_k8_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & m1_subset_1(D,A) & m1_subset_1(E,B) ) => m1_subset_1(k8_lfuzzy_0(A,B,C,D,E),u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) ) )).
fof(dt_k8_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k8_lmod_7(A,B,C,D),k7_lmod_7(A,B,C)) ) )).
fof(dt_k8_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k8_lopban_1(A,B)) & v13_algstr_0(k8_lopban_1(A,B)) & v2_rlvect_1(k8_lopban_1(A,B)) & v3_rlvect_1(k8_lopban_1(A,B)) & v4_rlvect_1(k8_lopban_1(A,B)) & v5_rlvect_1(k8_lopban_1(A,B)) & v6_rlvect_1(k8_lopban_1(A,B)) & v7_rlvect_1(k8_lopban_1(A,B)) & v8_rlvect_1(k8_lopban_1(A,B)) & l1_rlvect_1(k8_lopban_1(A,B)) ) ) )).
fof(dt_k8_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => l1_funcsdom(k8_lopban_2(A)) ) )).
fof(dt_k8_lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => ( v1_funct_1(k8_lopban_4(A,B,C,D)) & v1_funct_2(k8_lopban_4(A,B,C,D),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k8_lopban_4(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k8_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( v1_relat_1(k8_lopclset(A)) & v1_funct_1(k8_lopclset(A)) ) ) )).
fof(dt_k8_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k8_lpspacc1(A)) & v1_funct_2(k8_lpspacc1(A),k2_zfmisc_1(k2_numbers,k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & m1_subset_1(k8_lpspacc1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)))) ) ) )).
fof(dt_k8_lpspace1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k8_lpspace1(A,B)) & m1_subset_1(k8_lpspace1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k8_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => m2_subset_1(k8_lpspace2(A,B,C,D),k1_zfmisc_1(k1_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) ) )).
fof(dt_k8_ltlaxio1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m1_subset_1(k8_ltlaxio1(A,B),k1_hilbert1) ) )).
fof(dt_k8_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( v2_funct_1(k8_ltlaxio3(A)) & m2_finseq_1(k8_ltlaxio3(A),k1_hilbert1) ) ) )).
fof(dt_k8_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ~ v1_xboole_0(k8_ltlaxio4(A)) & v1_finset_1(k8_ltlaxio4(A)) & m1_subset_1(k8_ltlaxio4(A),k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) ) )).
fof(dt_k8_margrel1,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => m1_subset_1(k8_margrel1(A),k5_margrel1) ) )).
fof(dt_k8_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k8_mathmorp(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_matrix13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => m1_subset_1(k8_matrix13(A,B),k4_ordinal1) ) )).
fof(dt_k8_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => m2_finseq_2(k8_matrix_0(A,B,C),A,k4_finseq_2(k3_finseq_1(B),A)) ) )).
fof(dt_k8_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => m1_subset_1(k8_matrix_1(A),k4_ordinal1) ) )).
fof(dt_k8_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(D,k5_finsub_1(B)) ) => m1_subset_1(k8_matrix_3(A,B,C,D),k5_finsub_1(k2_zfmisc_1(A,B))) ) )).
fof(dt_k8_matrix_5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_matrix_0(k8_matrix_5(A,B)) & m2_finseq_1(k8_matrix_5(A,B),k3_finseq_2(k2_numbers)) ) ) )).
fof(dt_k8_matrixc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => m2_finseq_2(k8_matrixc1(A,B,C),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k8_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => m2_finseq_1(k8_matrixj1(A,B),k4_ordinal1) ) )).
fof(dt_k8_matrixr1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_matrix_0(k8_matrixr1(A,B)) & m2_finseq_1(k8_matrixr1(A,B),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k8_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v1_matrix_0(E) & v2_matrix_0(E,A,B,D) & m1_finseq_1(E,k3_finseq_2(A)) & v1_matrix_0(F) & v2_matrix_0(F,A,C,D) & m1_finseq_1(F,k3_finseq_2(A)) ) => ( v1_matrix_0(k8_matrlin(A,B,C,D,E,F)) & v2_matrix_0(k8_matrlin(A,B,C,D,E,F),A,k2_xcmplx_0(B,C),D) & m2_finseq_1(k8_matrlin(A,B,C,D,E,F),k3_finseq_2(A)) ) ) )).
fof(dt_k8_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_vectsp_4(D,A,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k8_matrlin2(A,B,C,D,E)) & v1_funct_2(k8_matrlin2(A,B,C,D,E),u1_struct_0(D),u1_struct_0(C)) & v13_vectsp_1(k8_matrlin2(A,B,C,D,E),D,C) & v1_mod_2(k8_matrlin2(A,B,C,D,E),A,D,C) & m1_subset_1(k8_matrlin2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(C)))) ) ) )).
fof(dt_k8_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => m1_subset_1(k8_mcart_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )).
fof(dt_k8_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => m1_subset_1(k8_measure7(A),k1_zfmisc_1(k6_numbers)) ) )).
fof(dt_k8_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m4_measure8(D,A,B,C) ) => m3_measure8(k8_measure8(A,B,C,D),A,k5_setfam_1(A,k2_relset_1(k9_setfam_1(A),C)),B) ) )).
fof(dt_k8_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( v1_relat_1(k8_memstr_0(A,B,C)) & v4_relat_1(k8_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k8_memstr_0(A,B,C)) & v5_funct_1(k8_memstr_0(A,B,C),k2_memstr_0(A,B)) ) ) )).
fof(dt_k8_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k8_mesfun7c(A,B)) & m1_subset_1(k8_mesfun7c(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k8_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_xreal_0(C) ) => ( v1_funct_1(k8_mesfunc1(A,B,C)) & m1_subset_1(k8_mesfunc1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k8_mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m1_subset_1(E,B) ) => m1_subset_1(k8_mesfunc5(A,B,C,D,E),k6_numbers) ) )).
fof(dt_k8_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k8_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => m1_subset_1(k8_metric_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_metric_2(A),k2_metric_2(A)))) ) )).
fof(dt_k8_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_midsp_1(k8_midsp_1(A,B,C),A) ) )).
fof(dt_k8_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & v4_midsp_2(C,B) & l1_midsp_2(C,B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) ) => m2_finseq_2(k8_midsp_3(A,B,C,D,E),u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) ) )).
fof(dt_k8_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k8_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k8_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & v3_mod_2(B,A) & l1_mod_2(B,A) & v3_mod_2(C,A) & l1_mod_2(C,A) ) => ( v2_mod_2(k8_mod_2(A,B,C),A) & v3_mod_2(k8_mod_2(A,B,C),A) & l1_mod_2(k8_mod_2(A,B,C),A) ) ) )).
fof(dt_k8_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => ( v1_funct_1(k8_modcat_1(A,B)) & v1_funct_2(k8_modcat_1(A,B),k4_modcat_1(A,B),B) & m1_subset_1(k8_modcat_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A,B),B))) ) ) )).
fof(dt_k8_modelc_1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k8_modelc_1(A,B),k4_ordinal1) ) )).
fof(dt_k8_modelc_2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_finseq_1(B,k4_ordinal1) ) => m2_finseq_1(k8_modelc_2(A,B),k4_ordinal1) ) )).
fof(dt_k8_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k8_modelc_3(A),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_k8_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k8_moebius2(A)) & v4_relat_1(k8_moebius2(A),k8_newton) & v1_funct_1(k8_moebius2(A)) & v1_partfun1(k8_moebius2(A),k8_newton) ) ) )).
fof(dt_k8_monoid_0,axiom,( ~ v2_struct_0(k8_monoid_0) & v22_algstr_0(k8_monoid_0) & v4_vectsp_1(k8_monoid_0) & m1_monoid_0(k8_monoid_0,k7_monoid_0) )).
fof(dt_k8_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v1_funct_1(k8_monoid_1(A,B,C,D,E)) & v1_funct_2(k8_monoid_1(A,B,C,D,E),k2_zfmisc_1(k9_funct_2(E,A),k9_funct_2(E,B)),k9_funct_2(E,C)) & m1_subset_1(k8_monoid_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(E,A),k9_funct_2(E,B)),k9_funct_2(E,C)))) ) ) )).
fof(dt_k8_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(k8_msafree(A,B)) & v4_relat_1(k8_msafree(A,B),u1_struct_0(A)) & v1_funct_1(k8_msafree(A,B)) & v1_partfun1(k8_msafree(A,B),u1_struct_0(A)) ) ) )).
fof(dt_k8_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) ) => v7_ordinal1(k8_msafree2(A,B,C,D)) ) )).
fof(dt_k8_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_rewrite1(B) & v4_rewrite1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => m1_subset_1(k8_msafree4(A,B,C),A) ) )).
fof(dt_k8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_abcmiz_1(C,A,B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => m1_subset_1(k8_msafree5(A,B,C),u4_struct_0(A)) ) )).
fof(dt_k8_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_msaterm(A,B)) & m1_subset_1(D,k9_xtuple_0(C)) ) => m1_dtconstr(k8_msaterm(A,B,C,D),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) )).
fof(dt_k8_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m2_pboole(k8_msualg_1(A),u4_struct_0(k6_msualg_1(A)),k3_relat_1(u1_msualg_1(k6_msualg_1(A)),k6_finseq_2(u1_struct_0(k6_msualg_1(A)),k7_msualg_1(A))),k3_relat_1(u2_msualg_1(k6_msualg_1(A)),k7_msualg_1(A))) ) )).
fof(dt_k8_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v3_msualg_6(k8_msualg_6(A,B,C),A,B) & v4_msualg_6(k8_msualg_6(A,B,C),A,B) & m1_msualg_4(k8_msualg_6(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k8_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => m1_subset_1(k8_nat_1(A,B,C),A) ) )).
fof(dt_k8_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => m1_subset_1(k8_nat_3(A,B),k4_ordinal1) ) )).
fof(dt_k8_nat_lat,axiom,( v1_funct_1(k8_nat_lat) & v1_funct_2(k8_nat_lat,k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat) & m1_subset_1(k8_nat_lat,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat))) )).
fof(dt_k8_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => m4_nattra_1(k8_nattra_1(A,B),A,B) ) )).
fof(dt_k8_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => m1_subset_1(k8_ndiff_7(A,B,C,D,E),u1_struct_0(k16_lopban_1(B,C))) ) )).
fof(dt_k8_newton,axiom,( m1_subset_1(k8_newton,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k8_normform,axiom,( ! [A] : m1_subset_1(k8_normform(A),k1_zfmisc_1(k5_finsub_1(k7_normform(A)))) )).
fof(dt_k8_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_dualsp01(k8_normsp_3(A,B,C),B) ) )).
fof(dt_k8_numpoly1,axiom,( m1_subset_1(k8_numpoly1,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k8_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( v1_relat_1(k8_openlatt(A)) & v1_funct_1(k8_openlatt(A)) ) ) )).
fof(dt_k8_oppcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_cat_1(D,k2_oppcat_1(A),k3_oppcat_1(A,B),k3_oppcat_1(A,C)) ) => m1_cat_1(k8_oppcat_1(A,B,C,D),A,C,B) ) )).
fof(dt_k8_ordinal2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => v3_ordinal1(k8_ordinal2(A)) ) )).
fof(dt_k8_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => v3_ordinal1(k8_ordinal3(A,B)) ) )).
fof(dt_k8_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal6(A) ) => ( v1_relat_1(k8_ordinal6(A)) & v1_funct_1(k8_ordinal6(A)) & v5_ordinal1(k8_ordinal6(A)) & v1_ordinal2(k8_ordinal6(A)) ) ) )).
fof(dt_k8_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v12_osalg_1(k8_osafree(A,B),A) & l3_msualg_1(k8_osafree(A,B),A) ) ) )).
fof(dt_k8_osalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_subset_1(k8_osalg_1(A,B),k1_zfmisc_1(u4_struct_0(A)),k7_osalg_1(A)) ) )).
fof(dt_k8_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) ) => m1_subset_1(k8_osalg_4(A,B,C,D,E),k6_osalg_4(A,B,C,D)) ) )).
fof(dt_k8_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => m1_subset_1(k8_parsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_parsp_1(A),k5_parsp_1(A)),k2_zfmisc_1(k5_parsp_1(A),k5_parsp_1(A))))) ) )).
fof(dt_k8_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ( v1_relat_1(k8_pboole(A,B)) & v1_funct_1(k8_pboole(A,B)) ) ) )).
fof(dt_k8_pcs_0,axiom,( ! [A] : ! [B] : ( ( l1_pcs_0(A) & l1_pcs_0(B) ) => l1_pcs_0(k8_pcs_0(A,B)) ) )).
fof(dt_k8_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & m1_subset_1(D,k1_euclid(A)) ) => ( v1_funct_1(k8_pdiff_1(A,B,C,D)) & v1_funct_2(k8_pdiff_1(A,B,C,D),k1_euclid(A),k1_euclid(B)) & m1_subset_1(k8_pdiff_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) ) )).
fof(dt_k8_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k8_pdiff_5(A,B)) ) )).
fof(dt_k8_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) ) => m1_subset_1(k8_petri(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_petri_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri_2(A) ) => m1_subset_1(k8_petri_2(A),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k8_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) & m1_subset_1(C,u4_struct_0(A)) & m1_petri_2(D,u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C))) & v1_funct_1(E) & v1_funct_2(E,k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k8_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)))) & m1_subset_1(F,u1_struct_0(A)) ) => ( v1_funct_1(k8_petri_3(A,B,C,D,E,F)) & v1_funct_2(k8_petri_3(A,B,C,D,E,F),u1_petri_2(A),k4_ordinal1) & m1_subset_1(k8_petri_3(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) ) )).
fof(dt_k8_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_pnproc_1(B,A) & m1_subset_1(C,k3_finseq_2(B)) ) => ( v1_relat_1(k8_pnproc_1(A,B,C)) & v1_funct_1(k8_pnproc_1(A,B,C)) ) ) )).
fof(dt_k8_polyeq_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => v1_xcmplx_0(k8_polyeq_5(A,B,C,D)) ) )).
fof(dt_k8_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => m1_subset_1(k8_polyform(A,B),k4_ordinal1) ) )).
fof(dt_k8_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ( v1_funct_1(k8_polynom1(A,B)) & v1_funct_2(k8_polynom1(A,B),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k8_polynom1(A,B),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k8_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k8_polynom3(A,B,C)) & v1_funct_2(k8_polynom3(A,B,C),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k8_polynom3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k8_polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k8_polynom5(A,B)) & v1_funct_2(k8_polynom5(A,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k8_polynom5(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k8_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => ( v1_funct_1(k8_poset_1(A,B,C)) & v1_funct_2(k8_poset_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k8_poset_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k8_pralg_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k8_pralg_1(A),k4_partfun1(k3_finseq_2(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0))) ) )).
fof(dt_k8_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) & v1_relat_1(B) & v1_funct_1(B) & v1_pre_poly(B) ) => ( v1_relat_1(k8_pre_poly(A,B)) & v1_funct_1(k8_pre_poly(A,B)) ) ) )).
fof(dt_k8_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v3_prefer_1(k8_prefer_1(A,B)) & l3_prefer_1(k8_prefer_1(A,B)) ) ) )).
fof(dt_k8_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => m2_finseq_1(k8_prelamb(A,B,C),k1_numbers) ) )).
fof(dt_k8_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( v1_funct_1(k8_prob_1(A,B,C,D)) & v1_funct_2(k8_prob_1(A,B,C,D),k4_ordinal1,k1_numbers) & m1_subset_1(k8_prob_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k8_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_finseq_1(C,B) & v7_ordinal1(D) ) => m1_prob_1(k8_prob_3(A,B,C,D),A,B) ) )).
fof(dt_k8_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & m1_subset_1(B,k4_card_3(A)) & m1_subset_1(C,k9_xtuple_0(A)) ) => m1_subset_1(k8_prvect_1(A,B,C),k1_funct_1(A,C)) ) )).
fof(dt_k8_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => m1_subset_1(k8_prvect_2(A),k4_card_3(k4_prvect_2(A))) ) )).
fof(dt_k8_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k8_pscomp_1(A)) ) )).
fof(dt_k8_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(k8_pua2mss1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k8_qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => m1_subset_1(k8_qc_lang1(A,B),k1_zfmisc_1(k6_qc_lang1(A))) ) )).
fof(dt_k8_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k3_qc_lang1(A)) & m1_subset_1(E,k9_qc_lang1(A)) ) => m1_subset_1(k8_qc_lang2(A,B,C,D,E),k9_qc_lang1(A)) ) )).
fof(dt_k8_qmax_1,axiom,( ! [A] : ! [B] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) ) => m1_subset_1(k8_qmax_1(A,B),k5_qmax_1(A)) ) )).
fof(dt_k8_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k7_quofield(A)) & m1_subset_1(C,k7_quofield(A)) ) => m2_subset_1(k8_quofield(A,B,C),k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) ) )).
fof(dt_k8_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,A) & m1_finseq_1(C,k3_radix_1(B)) ) => v1_int_1(k8_radix_1(A,B,C)) ) )).
fof(dt_k8_radix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m1_finseq_1(D,k3_radix_1(B)) ) => v1_int_1(k8_radix_3(A,B,C,D)) ) )).
fof(dt_k8_radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( v3_card_1(k8_radix_5(A,B,C),A) & m2_finseq_1(k8_radix_5(A,B,C),k3_radix_1(C)) ) ) )).
fof(dt_k8_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,2)) & m1_finseq_1(C,k3_radix_1(B)) ) => ( v3_card_1(k8_radix_6(A,B,C),k2_xcmplx_0(A,2)) & m2_finseq_1(k8_radix_6(A,B,C),k3_radix_1(B)) ) ) )).
fof(dt_k8_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & m1_random_1(D,A,B) ) => v1_xreal_0(k8_random_1(A,B,C,D)) ) )).
fof(dt_k8_random_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) & v7_ordinal1(C) ) => m2_prob_1(k8_random_3(A,B,C),k1_funct_1(A,C),k1_random_1(k1_funct_1(A,C))) ) )).
fof(dt_k8_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & m1_vectsp_6(D,A,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => m1_vectsp_6(k8_ranknull(A,B,C,D,E),A,C) ) )).
fof(dt_k8_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l5_algstr_0(A) ) => m1_ratfunc1(k8_ratfunc1(A),A) ) )).
fof(dt_k8_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k8_real_3(A)) & v1_funct_2(k8_real_3(A),k4_ordinal1,k1_numbers) & m1_subset_1(k8_real_3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_k8_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k8_relset_1(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k8_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & m1_subset_1(C,k8_afinsq_1(A)) ) => m1_subset_1(k8_rewrite2(A,B,C),k1_zfmisc_1(k8_afinsq_1(A))) ) )).
fof(dt_k8_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => v7_ordinal1(k8_ring_2(A,B)) ) )).
fof(dt_k8_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_xreal_0(B) & m1_rlvect_2(C,A) ) => m1_rlvect_2(k8_rlvect_2(A,B,C),A) ) )).
fof(dt_k8_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) ) => m1_rmod_4(k8_rmod_4(A,B,C),A,B) ) )).
fof(dt_k8_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ( v4_robbins1(k8_robbins1(A)) & l4_robbins1(k8_robbins1(A)) ) ) )).
fof(dt_k8_rsspace,axiom,( m1_subset_1(k8_rsspace,k1_zfmisc_1(u1_struct_0(k4_rsspace))) )).
fof(dt_k8_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k8_rsspace4(A,B)) & v1_funct_2(k8_rsspace4(A,B),k4_rsspace4(A,B),k1_numbers) & m1_subset_1(k8_rsspace4(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_rsspace4(A,B),k1_numbers))) ) ) )).
fof(dt_k8_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => m2_finseq_1(k8_rvsum_1(A,B),k1_numbers) ) )).
fof(dt_k8_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => m2_finseq_2(k8_rvsum_2(A,B,C),k2_numbers,k4_finseq_2(A,k2_numbers)) ) )).
fof(dt_k8_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( v1_relat_1(k8_rvsum_3(A)) & v1_funct_1(k8_rvsum_3(A)) & v3_valued_0(k8_rvsum_3(A)) & v1_finseq_1(k8_rvsum_3(A)) ) ) )).
fof(dt_k8_scm_comp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_dtconstr(k1_scm_comp)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) ) => m1_dtconstr(k8_scm_comp(A,B),u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) ) )).
fof(dt_k8_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => m1_subset_1(k8_scm_inst(A),k2_scm_inst) ) )).
fof(dt_k8_scmfsa_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) & m1_subset_1(B,k3_scmfsa_1) & m1_finseq_1(C,k4_numbers) ) => m1_subset_1(k8_scmfsa_1(A,B,C),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) ) )).
fof(dt_k8_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k8_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k8_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => m1_subset_1(k8_scmfsa_i(A),k1_scmfsa_i) ) )).
fof(dt_k8_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ( v1_funct_1(k8_scmfsa_m(A)) & v1_funct_2(k8_scmfsa_m(A),k4_ordinal1,k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(k8_scmfsa_m(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k4_ordinal1)))) ) ) )).
fof(dt_k8_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => m1_subset_1(k8_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k8_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( v1_relat_1(k8_scmpds_6(A,B,C)) & v4_relat_1(k8_scmpds_6(A,B,C),k4_ordinal1) & v5_relat_1(k8_scmpds_6(A,B,C),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k8_scmpds_6(A,B,C)) & v1_funct_1(k8_scmpds_6(A,B,C)) & v1_finset_1(k8_scmpds_6(A,B,C)) & v1_afinsq_1(k8_scmpds_6(A,B,C)) ) ) )).
fof(dt_k8_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => v1_int_1(k8_scmpds_i(A)) ) )).
fof(dt_k8_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k8_scmring1(A)) & v1_funct_2(k8_scmring1(A),k1_scmringi(A),k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))))) & m1_subset_1(k8_scmring1(A),k1_zfmisc_1(k2_zfmisc_1(k1_scmringi(A),k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A))))))) ) ) )).
fof(dt_k8_scmring2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => m1_subset_1(k8_scmring2(A,B),u1_compos_1(k1_scmring2(A))) ) )).
fof(dt_k8_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_scmringi(A)) ) => m1_subset_1(k8_scmringi(A,B),k2_scm_inst) ) )).
fof(dt_k8_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => v7_ordinal1(k8_scmyciel(A)) ) )).
fof(dt_k8_seq_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => m2_finseq_1(k8_seq_4(A,B),k2_numbers) ) )).
fof(dt_k8_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k8_seqfunc(A,B,C)) & v1_funct_2(k8_seqfunc(A,B,C),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k8_seqfunc(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k8_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ) )).
fof(dt_k8_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_funct_1(k8_setlim_2(A,B,C)) & v1_funct_2(k8_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k8_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k8_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k5_finsub_1(A)) ) => m1_subset_1(k8_setwiseo(A,B,C,D),k5_finsub_1(B)) ) )).
fof(dt_k8_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => m1_scmfsa_2(k8_sf_mastr(A)) ) )).
fof(dt_k8_sgraph1,axiom,( m1_sgraph1(k8_sgraph1,k4_ordinal1) )).
fof(dt_k8_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_simplex0(B,A) & v2_int_1(C) ) => m1_simplex0(k8_simplex0(A,B,C),A) ) )).
fof(dt_k8_sin_cos,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => ( v1_funct_1(k8_sin_cos(A,B,C)) & v1_funct_2(k8_sin_cos(A,B,C),k4_ordinal1,k2_numbers) & m1_subset_1(k8_sin_cos(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k8_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k8_sin_cos7(A)) ) )).
fof(dt_k8_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_stacks_1(A)) & ~ v11_struct_0(k8_stacks_1(A)) & v1_stacks_1(k8_stacks_1(A)) & l1_stacks_1(k8_stacks_1(A)) ) ) )).
fof(dt_k8_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => m1_subset_1(k8_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_sublemma,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_sublemma(B,A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => m2_subset_1(k8_sublemma(A,B),k16_substut1(A),k38_substut1(A)) ) )).
fof(dt_k8_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_subset_1(k8_subset_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k8_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k2_qc_lang1(A)) ) => m1_subset_1(k8_substut1(A,B),k1_zfmisc_1(k3_qc_lang1(A))) ) )).
fof(dt_k8_substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k1_substut1(A)) ) => m1_substut1(k8_substut2(A,B,C,D),A,k7_substut2(A,B,C,D)) ) )).
fof(dt_k8_supinf_2,axiom,( ! [A] : ( v2_membered(A) => m1_subset_1(k8_supinf_2(A),k6_numbers) ) )).
fof(dt_k8_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k8_tdlat_1(A)) & v10_lattices(k8_tdlat_1(A)) & v17_lattices(k8_tdlat_1(A)) & l3_lattices(k8_tdlat_1(A)) ) ) )).
fof(dt_k8_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_pre_topc(B,A) ) => ( v1_pre_topc(k8_tmap_1(A,B)) & v2_pre_topc(k8_tmap_1(A,B)) & l1_pre_topc(k8_tmap_1(A,B)) ) ) )).
fof(dt_k8_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_borsuk_2(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) ) => m1_borsuk_2(k8_topalg_4(A,B,C,D,E,F,G),B,E,F) ) )).
fof(dt_k8_topalg_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k5_topmetr)) & m1_subset_1(B,u1_struct_0(k5_topmetr)) ) => m1_subset_1(k8_topalg_7(A,B),u1_struct_0(k5_topmetr)) ) )).
fof(dt_k8_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) ) => m3_topgrp_1(k8_topgrp_1(A),A) ) )).
fof(dt_k8_toprealb,axiom,( ! [A] : ( v7_ordinal1(A) => m1_pre_topc(k8_toprealb(A),k15_euclid(A)) ) )).
fof(dt_k8_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k8_toprealc(A,B,C),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k8_trees_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k8_trees_3(A,B,C)) & v5_relat_1(k8_trees_3(A,B,C),A) & v1_funct_1(k8_trees_3(A,B,C)) & v3_trees_2(k8_trees_3(A,B,C)) ) ) )).
fof(dt_k8_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_finseq_1(C,k5_trees_3(A)) ) => m1_subset_1(k8_trees_4(A,B,C),k5_trees_3(A)) ) )).
fof(dt_k8_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) => m1_subset_1(k8_turing_1(A,B),k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) )).
fof(dt_k8_twoscomp,axiom,( v1_funct_1(k8_twoscomp) & v1_funct_2(k8_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k8_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k8_unialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_unialg_2(B,A) & m1_unialg_2(C,A) ) => ( v1_unialg_1(k8_unialg_2(A,B,C)) & m1_unialg_2(k8_unialg_2(A,B,C),A) ) ) )).
fof(dt_k8_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => m2_finseq_1(k8_uproots(A,B,C),u1_struct_0(k13_polynom3(A))) ) )).
fof(dt_k8_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_valuat_1(C,A,B) & m1_subset_1(D,k3_cqc_lang(A)) ) => m2_funct_2(k8_valuat_1(A,B,C,D),k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) )).
fof(dt_k8_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k8_valued_1(A,B,C,D)) & m1_subset_1(k8_valued_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) ) )).
fof(dt_k8_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_subset_1(k8_vectsp10(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k8_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_vectsp_6(D,A,B) ) => m1_vectsp_6(k8_vectsp_6(A,B,C,D),A,B) ) )).
fof(dt_k8_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k8_vsdiff_1(A,B,C,D,E,F)) & v1_funct_2(k8_vsdiff_1(A,B,C,D,E,F),k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))) & m1_subset_1(k8_vsdiff_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(C),u1_struct_0(E))))) ) ) )).
fof(dt_k8_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k8_waybel10(A)) & v1_orders_2(k8_waybel10(A)) & v4_yellow_0(k8_waybel10(A),k4_waybel10(A)) & m1_yellow_0(k8_waybel10(A),k4_waybel10(A)) ) ) )).
fof(dt_k8_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k8_waybel18(A,B,C)) & v1_funct_2(k8_waybel18(A,B,C),u1_struct_0(A),u1_struct_0(k7_waybel18(A,B,C))) & m1_subset_1(k8_waybel18(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k7_waybel18(A,B,C))))) ) ) )).
fof(dt_k8_waybel34,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_waybel34(A)) & v2_altcat_1(k8_waybel34(A)) & v6_altcat_1(k8_waybel34(A)) & v3_altcat_2(k8_waybel34(A),k4_waybel34(A)) & m1_altcat_2(k8_waybel34(A),k4_waybel34(A)) ) ) )).
fof(dt_k8_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k8_waybel_4(A)) & l1_orders_2(k8_waybel_4(A)) ) ) )).
fof(dt_k8_weierstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => v1_xreal_0(k8_weierstr(A,B,C)) ) )).
fof(dt_k8_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k8_yellow21(A)) & v2_altcat_1(k8_yellow21(A)) & v6_altcat_1(k8_yellow21(A)) & v2_altcat_2(k8_yellow21(A),k7_yellow21(A)) & v3_altcat_2(k8_yellow21(A),k7_yellow21(A)) & m1_altcat_2(k8_yellow21(A),k7_yellow21(A)) ) ) )).
fof(dt_k8_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) ) => m1_subset_1(k8_yellow_3(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k8_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => l1_orders_2(k8_yellow_6(A,B)) ) )).
fof(dt_k8_zf_lang,axiom,( ~ v1_xboole_0(k8_zf_lang) )).
fof(dt_k8_zf_model,axiom,( v1_zf_lang(k8_zf_model) & m2_finseq_1(k8_zf_model,k4_ordinal1) )).
fof(dt_k8_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => m2_subset_1(k8_zmodul02(A,B),k1_zfmisc_1(u1_struct_0(A)),k6_zmodul02(A,B)) ) )).
fof(dt_k8_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_zmodul05(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m2_zmodul02(E,B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) ) => m2_zmodul02(k8_zmodul05(A,B,C,D,E),A,C) ) )).
fof(dt_k90_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k90_valued_2(A,B,C,D,E,F)) & m1_subset_1(k90_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k2_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k91_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( v1_funct_1(k91_valued_2(A,B,C,D,E,F)) & m1_subset_1(k91_valued_2(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,B),k6_valued_2(k3_xboole_0(k1_valued_2(C),k1_valued_2(D)))))) ) ) )).
fof(dt_k9_afinsq_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => ( v1_relat_1(k9_afinsq_1(A,B)) & v5_relat_1(k9_afinsq_1(A,B),A) & v5_ordinal1(k9_afinsq_1(A,B)) & v1_funct_1(k9_afinsq_1(A,B)) & v1_finset_1(k9_afinsq_1(A,B)) ) ) )).
fof(dt_k9_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ~ v1_xboole_0(k9_afproj(A)) ) )).
fof(dt_k9_algstr_0,axiom,( ! [A] : ! [B] : ( ( l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k9_algstr_0(A,B),u1_struct_0(A)) ) )).
fof(dt_k9_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v15_algstr_0(k9_algstr_4(A,B)) & m1_algstr_4(k9_algstr_4(A,B),A) ) ) )).
fof(dt_k9_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k9_altcat_1(A)) & v6_altcat_1(k9_altcat_1(A)) & v13_altcat_1(k9_altcat_1(A)) & l2_altcat_1(k9_altcat_1(A)) ) ) )).
fof(dt_k9_ami_2,axiom,( v1_funct_1(k9_ami_2) & v1_funct_2(k9_ami_2,k3_scm_inst,k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)))) & m1_subset_1(k9_ami_2,k1_zfmisc_1(k2_zfmisc_1(k3_scm_inst,k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2)))))) )).
fof(dt_k9_ami_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => m1_subset_1(k9_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(dt_k9_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => m1_subset_1(k9_aofa_000(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(I,A) ) => m2_finseq_1(k9_aofa_a00(A,B,C,D,E,F,G,H,I),A) ) )).
fof(dt_k9_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),G)) ) => m1_subset_1(k9_aofa_a01(A,B,C,D,E,F,G,H),u1_struct_0(E)) ) )).
fof(dt_k9_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_int_1(C) ) => ( v1_funct_1(k9_aofa_i00(A,B,C)) & v1_funct_2(k9_aofa_i00(A,B,C),A,k4_numbers) & m1_subset_1(k9_aofa_i00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) ) )).
fof(dt_k9_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_relat_1(C) & m3_pboole(C,A,B) & m1_subset_1(D,A) & m1_subset_1(E,k1_msafree4(A,C,D)) ) => m1_msafree4(k9_aofa_l00(A,B,C,D,E),A,B,k1_msafree4(A,B,D)) ) )).
fof(dt_k9_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => m1_subset_1(k9_armstrng(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_k9_arytm_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_arytm_3) & m1_subset_1(B,k5_arytm_3) ) => m1_subset_1(k9_arytm_3(A,B),k5_arytm_3) ) )).
fof(dt_k9_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => m1_funct_2(k9_asympt_0(A,B),k4_ordinal1,k1_numbers) ) )).
fof(dt_k9_bagorder,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_orders_2(k9_bagorder(A)) & l1_orders_2(k9_bagorder(A)) ) ) )).
fof(dt_k9_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_2(B,A) ) => l2_bcialg_1(k9_bcialg_2(A,B)) ) )).
fof(dt_k9_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m4_bcialg_2(D,A,C) ) => l2_bcialg_1(k9_bcialg_6(A,B,C,D)) ) )).
fof(dt_k9_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(k9_bilinear(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) ) )).
fof(dt_k9_binarith,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & v3_card_1(D,A) & m1_finseq_1(D,C) & v3_card_1(E,B) & m1_finseq_1(E,C) ) => ( v3_card_1(k9_binarith(A,B,C,D,E),k2_xcmplx_0(A,B)) & m2_finseq_1(k9_binarith(A,B,C,D,E),C) ) ) )).
fof(dt_k9_binop_2,axiom,( v1_funct_1(k9_binop_2) & v1_funct_2(k9_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(k9_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) )).
fof(dt_k9_bor_cant,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k9_bor_cant(A,B)) & v1_funct_2(k9_bor_cant(A,B),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k9_bor_cant(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k9_borsuk_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v1_funct_1(k9_borsuk_1(A,B)) & v1_funct_2(k9_borsuk_1(A,B),k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(k9_borsuk_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B))))) ) ) )).
fof(dt_k9_borsuk_7,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k9_borsuk_7(A,B)) & v1_funct_2(k9_borsuk_7(A,B),u1_struct_0(k7_toprealb(2,k4_struct_0(k15_euclid(2)),A)),u1_struct_0(k7_toprealb(2,k4_struct_0(k15_euclid(2)),A))) & m1_subset_1(k9_borsuk_7(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(2,k4_struct_0(k15_euclid(2)),A)),u1_struct_0(k7_toprealb(2,k4_struct_0(k15_euclid(2)),A))))) ) ) )).
fof(dt_k9_bspace,axiom,( ! [A] : m1_subset_1(k9_bspace(A),k1_zfmisc_1(u1_struct_0(k7_bspace(A)))) )).
fof(dt_k9_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( v1_funct_1(k9_bvfunc_1(A,B,C)) & v1_funct_2(k9_bvfunc_1(A,B,C),A,k5_margrel1) & m1_subset_1(k9_bvfunc_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) ) )).
fof(dt_k9_c0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ~ v1_xboole_0(k9_c0sp1(A,B)) & m1_subset_1(k9_c0sp1(A,B),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_k9_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k9_c0sp2(A)) & l1_normsp_1(k9_c0sp2(A)) ) ) )).
fof(dt_k9_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) ) => m2_cat_1(k9_cat_1(A,B,C,D,E),A,C) ) )).
fof(dt_k9_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m1_subset_1(E,u4_struct_0(A)) & m1_subset_1(F,u4_struct_0(B)) ) => m1_subset_1(k9_cat_2(A,B,C,D,E,F),u4_struct_0(C)) ) )).
fof(dt_k9_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) & m2_cat_1(E,A,D) & m1_cat_1(F,A,B,C) ) => m1_cat_1(k9_cat_3(A,B,C,D,E,F),D,k8_cat_1(A,D,E,B),k8_cat_1(A,D,E,C)) ) )).
fof(dt_k9_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_cat_1(E,A,D,B) & m1_cat_1(F,A,D,C) ) => m1_cat_1(k9_cat_4(A,B,C,D,E,F),A,D,k2_cat_4(A,B,C)) ) )).
fof(dt_k9_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k9_cat_5(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_k9_cat_6,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) ) => m1_subset_1(k9_cat_6(A,B),k1_cat_6(A)) ) )).
fof(dt_k9_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k9_cat_7(A,B,C,D,E)) & v1_funct_2(k9_cat_7(A,B,C,D,E),u1_struct_0(k8_cat_7(A,B,C,D,E)),u1_struct_0(B)) & m1_subset_1(k9_cat_7(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_cat_7(A,B,C,D,E)),u1_struct_0(B)))) ) ) )).
fof(dt_k9_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k9_catalg_1(A,B,C),u1_struct_0(k3_catalg_1(A))) ) )).
fof(dt_k9_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => l2_clvect_1(k9_cc0sp2(A)) ) )).
fof(dt_k9_cgames_1,axiom,( ! [A] : v3_ordinal1(k9_cgames_1(A)) )).
fof(dt_k9_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,k4_chain_1(A,B,C)) ) => m1_subset_1(k9_chain_1(A,B,C,D),k1_zfmisc_1(k4_chain_1(A,B,k1_nat_1(C,1)))) ) )).
fof(dt_k9_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) & m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) ) => ( v1_funct_1(k9_circuit2(A,B,C,D)) & v1_funct_2(k9_circuit2(A,B,C,D),k4_ordinal1,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(k9_circuit2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(u3_msualg_1(A,B))))) ) ) )).
fof(dt_k9_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(k9_classes2(A,B,C),A) ) )).
fof(dt_k9_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k9_clopban1(A,B)) & v13_algstr_0(k9_clopban1(A,B)) & v2_rlvect_1(k9_clopban1(A,B)) & v3_rlvect_1(k9_clopban1(A,B)) & v4_rlvect_1(k9_clopban1(A,B)) & v2_clvect_1(k9_clopban1(A,B)) & v3_clvect_1(k9_clopban1(A,B)) & v4_clvect_1(k9_clopban1(A,B)) & v5_clvect_1(k9_clopban1(A,B)) & l1_clvect_1(k9_clopban1(A,B)) ) ) )).
fof(dt_k9_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => l1_clopban2(k9_clopban2(A)) ) )).
fof(dt_k9_coh_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_coh_sp(A)) & m1_subset_1(C,k5_coh_sp(A)) ) => m1_subset_1(k9_coh_sp(A,B,C),k5_coh_sp(A)) ) )).
fof(dt_k9_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A)) ) )).
fof(dt_k9_compos_0,axiom,( ! [A] : ( v5_compos_0(A) => m1_subset_1(k9_compos_0(A),A) ) )).
fof(dt_k9_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & m1_subset_1(B,u1_compos_1(A)) ) => ( v1_relat_1(k9_compos_1(A,B)) & v4_relat_1(k9_compos_1(A,B),k4_ordinal1) & v5_relat_1(k9_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k9_compos_1(A,B)) & v1_finset_1(k9_compos_1(A,B)) ) ) )).
fof(dt_k9_comput_1,axiom,( m1_subset_1(k9_comput_1,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) )).
fof(dt_k9_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k9_comseq_3(A,B)) & v1_funct_2(k9_comseq_3(A,B),k4_ordinal1,k2_numbers) & m1_subset_1(k9_comseq_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k9_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v1_funct_1(k9_conlat_1(A)) & v1_funct_2(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) & m1_subset_1(k9_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)))) ) ) )).
fof(dt_k9_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => m1_lattice4(k9_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ) )).
fof(dt_k9_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & m1_convex4(B,A) & m1_convex4(C,A) ) => m1_convex4(k9_convex4(A,B,C),A) ) )).
fof(dt_k9_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => m2_subset_1(k9_cqc_lang(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_k9_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v1_funct_1(k9_cqc_sim1(A)) & v1_funct_2(k9_cqc_sim1(A),k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) & m1_subset_1(k9_cqc_sim1(A),k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))))) ) ) )).
fof(dt_k9_csspace,axiom,( m1_subset_1(k9_csspace,k1_zfmisc_1(u1_struct_0(k5_csspace))) )).
fof(dt_k9_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k9_csspace4(A,B)) & l2_clvect_1(k9_csspace4(A,B)) ) ) )).
fof(dt_k9_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k9_decomp_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k9_dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k9_dickson(A,B)) & m1_subset_1(k9_dickson(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_k9_diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => v1_xreal_0(k9_diff_1(A,B,C)) ) )).
fof(dt_k9_dist_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) ) => m2_finseq_1(k9_dist_1(A,B),k4_ordinal1) ) )).
fof(dt_k9_dist_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) & m3_dist_2(C,A,B) ) => v1_xreal_0(k9_dist_2(A,B,C)) ) )).
fof(dt_k9_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => m1_subset_1(k9_domain_1(A,B,C,D,E),k1_zfmisc_1(A)) ) )).
fof(dt_k9_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & v3_dtconstr(A) & l1_lang1(A) & m1_subset_1(B,k7_dtconstr(A)) & m2_dtconstr(C,A,B) ) => m1_dtconstr(k9_dtconstr(A,B,C),u1_struct_0(A),k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) ) )).
fof(dt_k9_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(k8_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k9_dualsp01(A,B,C),k1_numbers) ) )).
fof(dt_k9_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => v1_relat_1(k9_e_siec(A)) ) )).
fof(dt_k9_ec_pf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) & m1_subset_1(B,k1_ec_pf_2(A)) & v1_funct_1(C) & v1_funct_2(C,k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))))) & m1_subset_1(D,k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) ) => m2_subset_1(k9_ec_pf_2(A,B,C,D),k3_ec_pf_1(k9_int_3(A)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) ) )).
fof(dt_k9_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k9_ens_1(A)) & v1_funct_2(k9_ens_1(A),k2_ens_1(A),A) & m1_subset_1(k9_ens_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_ens_1(A),A))) ) ) )).
fof(dt_k9_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => m2_subset_1(k9_eqrel_1(A,B,C),k1_zfmisc_1(A),k8_eqrel_1(A,B)) ) )).
fof(dt_k9_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & v1_xreal_0(C) ) => m2_finseq_2(k9_euclid(A,B,C),k1_numbers,k1_euclid(A)) ) )).
fof(dt_k9_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(k9_euclid_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) )).
fof(dt_k9_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => m2_subset_1(k9_facirc_1(A,B,C,D),u1_struct_0(k8_facirc_1(A,B,C,D)),k3_msafree2(k8_facirc_1(A,B,C,D))) ) )).
fof(dt_k9_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => v1_relat_1(k9_ff_siec(A)) ) )).
fof(dt_k9_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_relat_2(k9_filter_0(A,B)) & v8_relat_2(k9_filter_0(A,B)) & v1_partfun1(k9_filter_0(A,B),u1_struct_0(A)) & m1_subset_1(k9_filter_0(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k9_filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k9_filter_1(A,B,C,D),u1_struct_0(k7_filter_1(A,B))) ) )).
fof(dt_k9_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k9_filter_2(A,B,C)) & v20_lattices(k9_filter_2(A,B,C),A) & v21_lattices(k9_filter_2(A,B,C),A) & m1_subset_1(k9_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k9_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k9_fin_topo(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & v1_prob_1(E,C) & v4_prob_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,F))) ) => ( v1_funct_1(k9_finance1(A,B,C,D,E,F,G)) & v1_funct_2(k9_finance1(A,B,C,D,E,F,G),B,C) & m1_subset_1(k9_finance1(A,B,C,D,E,F,G),k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) )).
fof(dt_k9_finseq_1,axiom,( ! [A] : ( v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A)) ) )).
fof(dt_k9_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => m2_finseq_1(k9_finseq_4(A,B,C,D,E),A) ) )).
fof(dt_k9_fintopo2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k9_fintopo2(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => m1_subset_1(k9_fintopo3(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_flang_1,axiom,( ! [A] : m1_subset_1(k9_flang_1(A),k1_zfmisc_1(k3_catalan2(A))) )).
fof(dt_k9_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k9_fomodel0(A)) & v1_funct_2(k9_fomodel0(A),k3_finseq_2(k3_finseq_2(A)),k3_finseq_2(A)) & m1_subset_1(k9_fomodel0(A),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k3_finseq_2(A)),k3_finseq_2(A)))) ) ) )).
fof(dt_k9_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_funct_1(k9_fomodel2(A,B,C)) & v1_funct_2(k9_fomodel2(A,B,C),k35_fomodel1(A),B) & m1_subset_1(k9_fomodel2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),B))) ) ) )).
fof(dt_k9_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => m1_subset_1(k9_fomodel3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),k4_finseq_2(C,A)))) ) )).
fof(dt_k9_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_xboole_0(B) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m1_subset_1(k9_fomodel4(A,B,C),k1_fomodel4(A)) ) )).
fof(dt_k9_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => m1_freealg(k9_freealg(A,B),k7_freealg(A,B)) ) )).
fof(dt_k9_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_msualg_1(k9_fscirc_1(A,B,C),k8_fscirc_1(A,B,C)) & v4_msafree2(k9_fscirc_1(A,B,C),k8_fscirc_1(A,B,C)) & v4_circcomb(k9_fscirc_1(A,B,C),k8_fscirc_1(A,B,C)) & v6_circcomb(k9_fscirc_1(A,B,C),k8_fscirc_1(A,B,C)) & l3_msualg_1(k9_fscirc_1(A,B,C),k8_fscirc_1(A,B,C)) ) )).
fof(dt_k9_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : m1_subset_1(k9_ftacell1(A,B,C,D,E),k3_msafree2(k7_ftacell1(A,B,C,D,E))) )).
fof(dt_k9_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_subset_1(E,A) ) => ( v1_funct_1(k9_funcop_1(A,B,C,D,E)) & v1_funct_2(k9_funcop_1(A,B,C,D,E),B,A) & m1_subset_1(k9_funcop_1(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) )).
fof(dt_k9_funcsdom,axiom,( ! [A] : m2_funct_2(k9_funcsdom(A),A,k1_numbers,k9_funct_2(A,k1_numbers)) )).
fof(dt_k9_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => m1_funct_2(k9_funct_2(A,B),A,B) ) )).
fof(dt_k9_funct_3,axiom,( ! [A] : ! [B] : ( v1_funct_1(k9_funct_3(A,B)) & v1_funct_2(k9_funct_3(A,B),k2_zfmisc_1(A,B),A) & m1_subset_1(k9_funct_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),A))) ) )).
fof(dt_k9_funct_5,axiom,( v1_funct_1(k9_funct_5) & v1_funct_2(k9_funct_5,k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)),k1_tarski(k5_ordinal1)) & m1_subset_1(k9_funct_5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)),k1_tarski(k5_ordinal1)))) )).
fof(dt_k9_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k9_funct_6(A)) & v1_funct_1(k9_funct_6(A)) & v1_funcop_1(k9_funct_6(A)) ) ) )).
fof(dt_k9_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_altcat_1(B,C,C)) ) => ( v9_functor0(k9_functor0(A,B,C,D),A,B) & l2_functor0(k9_functor0(A,B,C,D),A,B) ) ) )).
fof(dt_k9_functor3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => m1_functor3(k9_functor3(A,B,C),A,B,C,C) ) )).
fof(dt_k9_fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_fvaluat1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k9_fvaluat1(A,B,C),k1_zfmisc_1(u1_struct_0(k7_fvaluat1(A,B)))) ) )).
fof(dt_k9_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m2_finseq_1(k9_fvsum_1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k9_gaussint,axiom,( v1_funct_1(k9_gaussint) & v1_funct_2(k9_gaussint,k2_zfmisc_1(k8_gaussint,k8_gaussint),k8_gaussint) & m1_subset_1(k9_gaussint,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_gaussint,k8_gaussint),k8_gaussint))) )).
fof(dt_k9_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) & m2_gcd_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => m1_subset_1(k9_gcd_1(A,B,C,D,E,F),u1_struct_0(A)) ) )).
fof(dt_k9_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) ) => m1_genealg1(k9_genealg1(A,B,C,D,E,F),A) ) )).
fof(dt_k9_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : m2_subset_1(k9_gfacirc1(A,B,C),u1_struct_0(k7_gfacirc1(A,B,C)),k3_msafree2(k7_gfacirc1(A,B,C))) )).
fof(dt_k9_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => m3_glib_001(k9_glib_001(A,B,C,D),A) ) )).
fof(dt_k9_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m3_glib_001(B,A) ) => m2_finseq_1(k9_glib_003(A,B),k1_numbers) ) )).
fof(dt_k9_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m2_glib_004(B,A) & v7_ordinal1(C) ) => m1_subset_1(k9_glib_004(A,B,C),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) )).
fof(dt_k9_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m3_glib_001(C,A) ) => v7_ordinal1(k9_glib_005(A,B,C)) ) )).
fof(dt_k9_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(k9_graph_1(A,B),k4_ordinal1) ) )).
fof(dt_k9_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_finseq_2(k9_graph_3(A),u4_struct_0(A)) ) )).
fof(dt_k9_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_finseq_1(B,u4_struct_0(A)) & v1_relat_1(C) & v1_funct_1(C) ) => m2_finseq_1(k9_graph_5(A,B,C),k1_numbers) ) )).
fof(dt_k9_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) & v7_ordinal1(B) ) => m2_funct_2(k9_graphsp(A,B),k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) ) )).
fof(dt_k9_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( v1_funct_1(k9_grcat_1(A)) & v1_funct_2(k9_grcat_1(A),u1_struct_0(k7_grcat_1(A)),u1_struct_0(k8_grcat_1(A))) & m1_subset_1(k9_grcat_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_grcat_1(A)),u1_struct_0(k8_grcat_1(A))))) ) ) )).
fof(dt_k9_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => ( v1_funct_1(k9_group_10(A,B,C)) & v1_funct_2(k9_group_10(A,B,C),u1_struct_0(B),k1_funct_2(k15_group_2(A,C),k15_group_2(A,C))) & v1_group_10(k9_group_10(A,B,C),B,k15_group_2(A,C)) & m1_subset_1(k9_group_10(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(k15_group_2(A,C),k15_group_2(A,C))))) ) ) )).
fof(dt_k9_group_19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) & v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) ) => ( v1_funct_1(k9_group_19(A,B,C,D)) & v1_funct_2(k9_group_19(A,B,C,D),u1_struct_0(k3_group_7(A,B)),u1_struct_0(k3_group_7(A,C))) & v1_group_6(k9_group_19(A,B,C,D),k3_group_7(A,B),k3_group_7(A,C)) & m1_subset_1(k9_group_19(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A,B)),u1_struct_0(k3_group_7(A,C))))) ) ) )).
fof(dt_k9_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => ( v15_algstr_0(k9_group_2(A,B,C)) & m1_group_2(k9_group_2(A,B,C),A) ) ) )).
fof(dt_k9_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => m1_subset_1(k9_group_3(A,B),k1_zfmisc_1(k1_group_3(A))) ) )).
fof(dt_k9_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k9_group_4(A)) & v1_funct_2(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m1_subset_1(k9_group_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) ) ) )).
fof(dt_k9_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k9_group_5(A)) & v1_group_3(k9_group_5(A),A) & m1_group_2(k9_group_5(A),A) ) ) )).
fof(dt_k9_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v15_algstr_0(k9_group_6(A,B,C)) & m1_group_2(k9_group_6(A,B,C),A) ) ) )).
fof(dt_k9_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ( v1_funct_1(k9_group_9(A,B,C)) & v1_funct_2(k9_group_9(A,B,C),A,k1_funct_2(k7_group_9(A,B,C),k7_group_9(A,B,C))) & m1_subset_1(k9_group_9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(k7_group_9(A,B,C),k7_group_9(A,B,C))))) ) ) )).
fof(dt_k9_heyting1,axiom,( ! [A] : ( v1_funct_1(k9_heyting1(A)) & v1_funct_2(k9_heyting1(A),k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))),u1_struct_0(k11_normform(A))) & m1_subset_1(k9_heyting1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A))),u1_struct_0(k11_normform(A))))) ) )).
fof(dt_k9_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v1_relat_1(k9_hilbert4(A)) & v4_relat_1(k9_hilbert4(A),k1_hilbert1) & v1_funct_1(k9_hilbert4(A)) & v1_partfun1(k9_hilbert4(A),k1_hilbert1) ) ) )).
fof(dt_k9_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => v7_ordinal1(k9_huffman1(A)) ) )).
fof(dt_k9_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => v7_ordinal1(k9_idea_1(A,B,C)) ) )).
fof(dt_k9_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k9_ideal_1(A,B)) & v1_ideal_1(k9_ideal_1(A,B),A) & v3_ideal_1(k9_ideal_1(A,B),A) & m1_subset_1(k9_ideal_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_k9_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) & m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) ) => m2_cat_1(k9_index_1(A,B,C),A,C) ) )).
fof(dt_k9_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => l6_algstr_0(k9_int_3(A)) ) )).
fof(dt_k9_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_euclid(A)))) ) => ( v1_funct_1(k9_integr15(A,B,C,D)) & m1_subset_1(k9_integr15(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(C,k1_euclid(A)))) ) ) )).
fof(dt_k9_integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k9_integra1(A,B)) & v1_funct_2(k9_integra1(A,B),k1_integra1(A),k1_numbers) & m1_subset_1(k9_integra1(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_integra1(A),k1_numbers))) ) ) )).
fof(dt_k9_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => m1_interva1(k9_interva1(A,B,C),A) ) )).
fof(dt_k9_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,k6_cat_2(B,C)) ) => m2_cat_1(k9_isocat_2(A,B,C,D),A,B) ) )).
fof(dt_k9_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k9_jgraph_4(A)) & v1_funct_2(k9_jgraph_4(A),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k9_jgraph_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) ) )).
fof(dt_k9_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => m1_subset_1(k9_jgraph_6(A,B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(dt_k9_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & v1_xreal_0(D) & v2_xxreal_0(D) ) => ( v1_funct_1(k9_jordan(A,B,C,D)) & v1_funct_2(k9_jordan(A,B,C,D),u1_struct_0(k1_pre_topc(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),k2_topreal9(A,B,D),k6_domain_1(u1_struct_0(k15_euclid(A)),C)))),u1_struct_0(k7_toprealb(A,B,D))) & m1_subset_1(k9_jordan(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),k2_topreal9(A,B,D),k6_domain_1(u1_struct_0(k15_euclid(A)),C)))),u1_struct_0(k7_toprealb(A,B,D))))) ) ) )).
fof(dt_k9_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v7_ordinal1(k9_jordan5d(A)) ) )).
fof(dt_k9_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ~ v1_xboole_0(k9_jordan6(A)) & m1_subset_1(k9_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(dt_k9_knaster,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(k9_knaster(A,B),u1_struct_0(A)) ) )).
fof(dt_k9_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_lang1(k9_lang1(A)) & l2_lang1(k9_lang1(A)) ) ) )).
fof(dt_k9_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => m2_finseq_1(k9_laplace(A,B,C,D),u1_struct_0(C)) ) )).
fof(dt_k9_lattad_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_enumset1(1,2,3)) & m1_subset_1(B,k1_enumset1(1,2,3)) ) => m1_subset_1(k9_lattad_1(A,B),k1_enumset1(1,2,3)) ) )).
fof(dt_k9_lattice3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(k7_lattice3(A))) ) => m1_subset_1(k9_lattice3(A,B),u1_struct_0(A)) ) )).
fof(dt_k9_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => m1_subset_1(k9_lattice5(A,B,C,D,E),k4_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E),u1_struct_0(B),u1_struct_0(B))) ) )).
fof(dt_k9_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( v1_funct_1(k9_lattice8(A,B,C,D)) & v1_funct_2(k9_lattice8(A,B,C,D),k2_zfmisc_1(k7_lattice8(A,B,C),k7_lattice8(A,B,C)),u1_struct_0(B)) & v1_lattice5(k9_lattice8(A,B,C,D),k7_lattice8(A,B,C),B) & v2_lattice5(k9_lattice8(A,B,C,D),k7_lattice8(A,B,C),B) & v3_lattice5(k9_lattice8(A,B,C,D),k7_lattice8(A,B,C),B) & m1_subset_1(k9_lattice8(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k7_lattice8(A,B,C),k7_lattice8(A,B,C)),u1_struct_0(B)))) ) ) )).
fof(dt_k9_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(k9_lexbfs(A),k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) )).
fof(dt_k9_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) & m1_subset_1(C,A) ) => m1_subset_1(k9_lfuzzy_0(A,B,C),u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) ) )).
fof(dt_k9_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k9_lopban_1(A,B,C,D),u1_struct_0(B)) ) )).
fof(dt_k9_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => l1_lopban_2(k9_lopban_2(A)) ) )).
fof(dt_k9_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ( v1_funct_1(k9_lopban_4(A)) & v1_funct_2(k9_lopban_4(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k9_lopban_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k9_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(k9_lopclset(A)) & v1_funct_2(k9_lopclset(A),u1_struct_0(A),k9_setfam_1(k7_lopclset(A))) & m1_subset_1(k9_lopclset(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(k7_lopclset(A))))) ) ) )).
fof(dt_k9_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k9_lpspacc1(A)) & v1_funct_2(k9_lpspacc1(A),k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & m1_subset_1(k9_lpspacc1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)))) ) ) )).
fof(dt_k9_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k9_lpspace1(A,B,C)) & m1_subset_1(k9_lpspace1(A,B,C),k1_zfmisc_1(u1_struct_0(k7_lpspace1(A)))) ) ) )).
fof(dt_k9_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_funct_1(k9_lpspace2(A,B,C,D)) & v1_funct_2(k9_lpspace2(A,B,C,D),k2_zfmisc_1(k1_numbers,k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)) & m1_subset_1(k9_lpspace2(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k6_lpspace2(A,B,C,D)),k6_lpspace2(A,B,C,D)))) ) ) )).
fof(dt_k9_ltlaxio1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => m1_subset_1(k9_ltlaxio1(A,B),k1_hilbert1) ) )).
fof(dt_k9_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( v2_funct_1(k9_ltlaxio3(A)) & m2_finseq_1(k9_ltlaxio3(A),k1_hilbert1) ) ) )).
fof(dt_k9_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( v1_finset_1(k9_ltlaxio4(A)) & m1_subset_1(k9_ltlaxio4(A),k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) ) )).
fof(dt_k9_margrel1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => m1_subset_1(k9_margrel1(A,B),k5_margrel1) ) )).
fof(dt_k9_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(k9_mathmorp(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,C) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => m1_subset_1(k9_matrix13(A,B,C,D),k1_zfmisc_1(u1_struct_0(k6_prvect_1(A,C)))) ) )).
fof(dt_k9_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( v1_funct_1(k9_matrix_3(A,B,C,D,E,F)) & v1_funct_2(k9_matrix_3(A,B,C,D,E,F),k2_zfmisc_1(A,B),C) & m1_subset_1(k9_matrix_3(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) ) )).
fof(dt_k9_matrix_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => m1_subset_1(k9_matrix_5(A,B),k2_numbers) ) )).
fof(dt_k9_matrixc1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => m2_finseq_1(k9_matrixc1(A),k2_numbers) ) )).
fof(dt_k9_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => m2_finseq_1(k9_matrixj1(A,B),k4_ordinal1) ) )).
fof(dt_k9_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => v7_ordinal1(k9_matrixj2(A,B,C)) ) )).
fof(dt_k9_matrixr1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => ( v1_matrix_0(k9_matrixr1(A)) & m2_finseq_1(k9_matrixr1(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(dt_k9_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_matrlin(C,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => m2_finseq_1(k9_matrlin(A,B,C,D),u1_struct_0(A)) ) )).
fof(dt_k9_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(C)) ) => m1_subset_1(k9_mcart_1(A,B,C,D,E,F),k1_zfmisc_1(k3_zfmisc_1(A,B,C))) ) )).
fof(dt_k9_measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => m1_measure4(k9_measure8(A,B,C),A) ) )).
fof(dt_k9_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v7_ordinal1(D) ) => ( v1_relat_1(k9_memstr_0(A,B,C,D)) & v4_relat_1(k9_memstr_0(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k9_memstr_0(A,B,C,D)) & v5_funct_1(k9_memstr_0(A,B,C,D),k2_memstr_0(A,B)) ) ) )).
fof(dt_k9_mesfun7c,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) & m1_subset_1(C,A) ) => ( v1_funct_1(k9_mesfun7c(A,B,C)) & v1_funct_2(k9_mesfun7c(A,B,C),k4_ordinal1,k2_numbers) & m1_subset_1(k9_mesfun7c(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k9_mesfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) ) => ( v1_funct_1(k9_mesfunc1(A,B)) & m1_subset_1(k9_mesfunc1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) )).
fof(dt_k9_mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers))))) & v7_ordinal1(C) ) => ( v1_funct_1(k9_mesfunc9(A,B,C)) & v1_funct_2(k9_mesfunc9(A,B,C),k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(k9_mesfunc9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) ) )).
fof(dt_k9_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(k9_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => m1_subset_1(k9_metric_2(A),k1_zfmisc_1(k3_zfmisc_1(k2_metric_2(A),k2_metric_2(A),k1_numbers))) ) )).
fof(dt_k9_midsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & l1_midsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(k9_midsp_2(A,B,C,D),u1_struct_0(u1_midsp_2(A,B))) ) )).
fof(dt_k9_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & v4_midsp_2(C,B) & l1_midsp_2(C,B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) ) => m1_subset_1(k9_midsp_3(A,B,C,D,E),u1_struct_0(u1_midsp_2(B,C))) ) )).
fof(dt_k9_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(k9_mmlquery(A,B,C,D),k1_zfmisc_1(A)) ) )).
fof(dt_k9_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) & m1_mod_2(E,A,C,D) & m1_mod_2(F,A,B,C) ) => ( v2_mod_2(k9_mod_2(A,B,C,D,E,F),A) & m1_mod_2(k9_mod_2(A,B,C,D,E,F),A,B,D) ) ) )).
fof(dt_k9_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) & m1_finseq_1(D,k4_ordinal1) ) => ( v1_relat_1(k9_modal_1(A,B,C,D)) & v5_relat_1(k9_modal_1(A,B,C,D),A) & v1_funct_1(k9_modal_1(A,B,C,D)) & v3_trees_2(k9_modal_1(A,B,C,D)) ) ) )).
fof(dt_k9_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => ( v1_funct_1(k9_modcat_1(A,B)) & v1_funct_2(k9_modcat_1(A,B),k4_modcat_1(A,B),B) & m1_subset_1(k9_modcat_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_modcat_1(A,B),B))) ) ) )).
fof(dt_k9_modelc_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => m2_finseq_1(k9_modelc_1(A),k4_ordinal1) ) )).
fof(dt_k9_modelc_2,axiom,( ~ v1_xboole_0(k9_modelc_2) )).
fof(dt_k9_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_modelc_3(k9_modelc_3(A),A) & v3_modelc_3(k9_modelc_3(A),A) & l1_modelc_3(k9_modelc_3(A),A) ) ) )).
fof(dt_k9_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => v7_ordinal1(k9_moebius2(A)) ) )).
fof(dt_k9_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k9_monoid_0(A)) & v15_algstr_0(k9_monoid_0(A)) & v1_group_1(k9_monoid_0(A)) & v3_group_1(k9_monoid_0(A)) & v2_monoid_0(k9_monoid_0(A)) & v16_monoid_0(k9_monoid_0(A)) & v17_monoid_0(k9_monoid_0(A)) & l3_algstr_0(k9_monoid_0(A)) ) ) )).
fof(dt_k9_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => l3_algstr_0(k9_monoid_1(A,B)) ) )).
fof(dt_k9_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( v1_funct_1(k9_msafree(A,B,C)) & v1_funct_2(k9_msafree(A,B,C),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k8_msafree(A,B)),C)) & m1_subset_1(k9_msafree(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),C),k1_funct_1(k3_relat_1(u2_msualg_1(A),k8_msafree(A,B)),C)))) ) ) )).
fof(dt_k9_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v12_msafree4(C,A,B) & v13_msafree4(C,A,B) & m1_msualg_4(C,A,B,B) ) => ( v2_relat_1(k9_msafree4(A,B,C)) & m3_pboole(k9_msafree4(A,B,C),A,B) ) ) )).
fof(dt_k9_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_abcmiz_1(C,A,B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => m1_msafree4(k9_msafree5(A,B,C),k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,k8_msafree5(A,B,C),k1_msafree3(A,B))) ) )).
fof(dt_k9_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m1_subset_1(D,k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & m2_pboole(E,u1_struct_0(A),C,u3_msualg_1(A,B)) ) => m1_subset_1(k9_msaterm(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,B),k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),D))) ) )).
fof(dt_k9_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v3_msualg_1(k9_msualg_1(A),k6_msualg_1(A)) & l3_msualg_1(k9_msualg_1(A),k6_msualg_1(A)) ) ) )).
fof(dt_k9_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => m3_pboole(k9_msualg_2(A,B,C),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(dt_k9_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_msualg_4(k9_msualg_6(A,B,C),A,B) & m1_msualg_4(k9_msualg_6(A,B,C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_k9_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,k4_ordinal1),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1),A))) & m1_subset_1(C,A) & v7_ordinal1(D) ) => m1_subset_1(k9_nat_1(A,B,C,D),A) ) )).
fof(dt_k9_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( v1_relat_1(k9_nat_3(A,B,C)) & v4_relat_1(k9_nat_3(A,B,C),A) & v1_funct_1(k9_nat_3(A,B,C)) & v1_partfun1(k9_nat_3(A,B,C),A) ) ) )).
fof(dt_k9_nat_lat,axiom,( v1_funct_1(k9_nat_lat) & v1_funct_2(k9_nat_lat,k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat) & m1_subset_1(k9_nat_lat,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_nat_lat,k6_nat_lat),k6_nat_lat))) )).
fof(dt_k9_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( ~ v2_struct_0(k9_nattra_1(A,B)) & ~ v11_struct_0(k9_nattra_1(A,B)) & v1_cat_1(k9_nattra_1(A,B)) & v2_cat_1(k9_nattra_1(A,B)) & v3_cat_1(k9_nattra_1(A,B)) & v4_cat_1(k9_nattra_1(A,B)) & v5_cat_1(k9_nattra_1(A,B)) & v6_cat_1(k9_nattra_1(A,B)) & l1_cat_1(k9_nattra_1(A,B)) ) ) )).
fof(dt_k9_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(C)))) ) => ( v1_funct_1(k9_ndiff_7(A,B,C,D,E)) & m1_subset_1(k9_ndiff_7(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k16_lopban_1(A,C))))) ) ) )).
fof(dt_k9_newton,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k9_newton(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_k9_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => m2_subset_1(k9_normform(A,B),k5_finsub_1(k7_normform(A)),k8_normform(A)) ) )).
fof(dt_k9_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => m1_vectsp_4(k9_normsp_3(A,B),k2_vectsp_1,k2_dualsp01(A)) ) )).
fof(dt_k9_numpoly1,axiom,( m1_subset_1(k9_numpoly1,k1_zfmisc_1(k4_ordinal1)) )).
fof(dt_k9_oppcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & v1_funct_1(C) & v1_funct_2(C,u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k2_oppcat_1(A)),u4_struct_0(B)))) ) => ( v1_funct_1(k9_oppcat_1(A,B,C)) & v1_funct_2(k9_oppcat_1(A,B,C),u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(k9_oppcat_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) ) )).
fof(dt_k9_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => v3_ordinal1(k9_ordinal3(A,B)) ) )).
fof(dt_k9_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m2_subset_1(k9_osafree(A,B,C),u1_struct_0(k2_osafree(A,B)),k7_dtconstr(k2_osafree(A,B))) ) )).
fof(dt_k9_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & m2_osalg_2(C,A,B) ) => m2_osalg_2(k9_osalg_2(A,B,C),A,B) ) )).
fof(dt_k9_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_osalg_4(D,A,C) & m1_subset_1(E,k3_msualg_1(A,B,C)) ) => m1_subset_1(k9_osalg_4(A,B,C,D,E),k4_card_3(k3_relat_1(k1_msualg_1(A,B),k7_osalg_4(A,C,D)))) ) )).
fof(dt_k9_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => l1_parsp_1(k9_parsp_1(A)) ) )).
fof(dt_k9_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( v1_relat_1(k9_pboole(A,B,C)) & v4_relat_1(k9_pboole(A,B,C),A) & v1_funct_1(k9_pboole(A,B,C)) & v1_partfun1(k9_pboole(A,B,C),A) ) ) )).
fof(dt_k9_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_pcs_0(A) & ~ v2_struct_0(B) & l1_pcs_0(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(k9_pcs_0(A,B,C,D),u1_struct_0(k8_pcs_0(A,B))) ) )).
fof(dt_k9_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) ) => m1_subset_1(k9_pdiff_1(A,B,C,D,E),u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)))) ) )).
fof(dt_k9_pdiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) & m1_subset_1(B,k1_euclid(3)) ) => v1_xreal_0(k9_pdiff_5(A,B)) ) )).
fof(dt_k9_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) ) => m1_subset_1(k9_petri(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) & m1_subset_1(C,u4_struct_0(A)) & m1_petri_2(D,u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C))) & v1_funct_1(E) & v1_funct_2(E,k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(A),k9_petri(A,k6_domain_1(u4_struct_0(A),C)),D),u1_petri_2(A)))) & m1_subset_1(F,u1_struct_0(A)) ) => ( v1_funct_1(k9_petri_3(A,B,C,D,E,F)) & v1_funct_2(k9_petri_3(A,B,C,D,E,F),u1_petri_2(A),k4_ordinal1) & m1_subset_1(k9_petri_3(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) ) )).
fof(dt_k9_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => m1_subset_1(k9_polyform(A),k4_ordinal1) ) )).
fof(dt_k9_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_vectsp_1(B) & l5_algstr_0(B) ) => ( v1_funct_1(k9_polynom1(A,B)) & v1_funct_2(k9_polynom1(A,B),k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(k9_polynom1(A,B),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) ) )).
fof(dt_k9_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ( v1_funct_1(k9_polynom3(A)) & v1_funct_2(k9_polynom3(A),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k9_polynom3(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k9_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( v1_funct_1(k9_polynom5(A,B,C)) & v1_funct_2(k9_polynom5(A,B,C),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k9_polynom5(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_k9_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ( v1_funct_1(k9_poset_1(A,B)) & v1_funct_2(k9_poset_1(A,B),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k9_poset_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_k9_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k9_poset_2(A,B,C,D,E,F,G)) & v1_funct_2(k9_poset_2(A,B,C,D,E,F,G),u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(k9_poset_2(A,B,C,D,E,F,G),k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(k9_poset_2(A,B,C,D,E,F,G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) ) )).
fof(dt_k9_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_pralg_2(D,A,B) ) => ( v1_relat_1(k9_pralg_2(A,B,C,D)) & v4_relat_1(k9_pralg_2(A,B,C,D),A) & v1_funct_1(k9_pralg_2(A,B,C,D)) & v1_partfun1(k9_pralg_2(A,B,C,D),A) ) ) )).
fof(dt_k9_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(C) & m1_finseq_2(C,A) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => m2_finseq_2(k9_pre_poly(A,B,C,D,E),A,C) ) )).
fof(dt_k9_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ~ v1_xboole_0(k9_prob_1(A,B)) & v1_prob_1(k9_prob_1(A,B),A) & v4_prob_1(k9_prob_1(A,B),A) & m1_subset_1(k9_prob_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_k9_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_finseq_1(C,B) & m2_prob_1(D,A,B) ) => m2_finseq_1(k9_prob_3(A,B,C,D),k1_numbers) ) )).
fof(dt_k9_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m1_prvect_1(B,A) & m1_subset_1(C,k4_finseq_1(A)) ) => ( v1_funct_1(k9_prvect_1(A,B,C)) & v1_funct_2(k9_prvect_1(A,B,C),k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)),k1_funct_1(A,C)) & m1_subset_1(k9_prvect_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)),k1_funct_1(A,C)))) ) ) )).
fof(dt_k9_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => m1_prvect_2(k9_prvect_2(A),k4_prvect_2(A),k1_numbers) ) )).
fof(dt_k9_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_xreal_0(k9_pscomp_1(A)) ) )).
fof(dt_k9_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m1_subset_1(k9_pua2mss1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_k9_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k9_qc_lang1(A)) ) )).
fof(dt_k9_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,k3_qc_lang1(A)) & m1_subset_1(E,k9_qc_lang1(A)) ) => m1_subset_1(k9_qc_lang2(A,B,C,D,E),k9_qc_lang1(A)) ) )).
fof(dt_k9_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ( v3_relat_2(k9_qmax_1(A)) & v8_relat_2(k9_qmax_1(A)) & v1_partfun1(k9_qmax_1(A),k5_qmax_1(A)) & m1_subset_1(k9_qmax_1(A),k1_zfmisc_1(k2_zfmisc_1(k5_qmax_1(A),k5_qmax_1(A)))) ) ) )).
fof(dt_k9_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k9_quantal1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k9_quatern2,axiom,( v1_funct_1(k9_quatern2) & v1_funct_2(k9_quatern2,k2_zfmisc_1(k1_quaterni,k1_quaterni),k1_quaterni) & m1_subset_1(k9_quatern2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_quaterni,k1_quaterni),k1_quaterni))) )).
fof(dt_k9_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k7_quofield(A)) & m1_subset_1(C,k7_quofield(A)) ) => m2_subset_1(k9_quofield(A,B,C),k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) ) )).
fof(dt_k9_radix_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m2_subset_1(k9_radix_1(A,B,C),k4_numbers,k3_radix_1(B)) ) )).
fof(dt_k9_radix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m1_finseq_1(D,k3_radix_1(B)) ) => m2_subset_1(k9_radix_3(A,B,C,D),k4_numbers,k4_radix_3(B)) ) )).
fof(dt_k9_radix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => m1_subset_1(k9_radix_6(A,B,C),k3_radix_1(C)) ) )).
fof(dt_k9_random_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) ) => ( v1_relat_1(k9_random_3(A,B)) & v4_relat_1(k9_random_3(A,B),k4_ordinal1) & v1_funct_1(k9_random_3(A,B)) & v1_partfun1(k9_random_3(A,B),k4_ordinal1) ) ) )).
fof(dt_k9_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m2_vectsp_6(F,A,C,k2_ranknull(B,C,E,D)) ) => m2_vectsp_6(k9_ranknull(A,B,C,D,E,F),A,B,D) ) )).
fof(dt_k9_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) & m1_ratfunc1(C,A) ) => m1_ratfunc1(k9_ratfunc1(A,B,C),A) ) )).
fof(dt_k9_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k9_ring_2(A)) & v1_funct_2(k9_ring_2(A),u1_struct_0(k13_polynom3(A)),k4_ordinal1) & m1_subset_1(k9_ring_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)),k4_ordinal1))) ) ) )).
fof(dt_k9_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) ) => m1_rlvect_2(k9_rlvect_2(A,B),A) ) )).
fof(dt_k9_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) ) => m1_rmod_4(k9_rmod_4(A,B,C,D),A,B) ) )).
fof(dt_k9_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(k9_robbins1(A,B,C),u1_struct_0(A)) ) )).
fof(dt_k9_rsspace,axiom,( v1_funct_1(k9_rsspace) & v1_funct_2(k9_rsspace,k2_zfmisc_1(k8_rsspace,k8_rsspace),k1_numbers) & m1_subset_1(k9_rsspace,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_rsspace,k8_rsspace),k1_numbers))) )).
fof(dt_k9_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k9_rsspace4(A,B)) & l1_normsp_1(k9_rsspace4(A,B)) ) ) )).
fof(dt_k9_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => m2_finseq_2(k9_rvsum_1(A,B,C),k1_numbers,k4_finseq_2(A,k1_numbers)) ) )).
fof(dt_k9_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => m2_finseq_1(k9_rvsum_2(A,B),k2_numbers) ) )).
fof(dt_k9_scm_comp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_dtconstr(k1_scm_comp)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) ) => m1_dtconstr(k9_scm_comp(A,B),u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) ) )).
fof(dt_k9_scmfsa_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) & m1_subset_1(B,k3_scmfsa_1) ) => m2_finseq_1(k9_scmfsa_1(A,B),k4_numbers) ) )).
fof(dt_k9_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => m1_subset_1(k9_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(dt_k9_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_scmfsa_2)) ) => ( v1_ami_2(k9_scmfsa_m(A,B)) & m1_subset_1(k9_scmfsa_m(A,B),u1_struct_0(k1_scmfsa_2)) ) ) )).
fof(dt_k9_scmpds_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => m1_subset_1(k9_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(dt_k9_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( v1_relat_1(k9_scmpds_6(A,B,C)) & v4_relat_1(k9_scmpds_6(A,B,C),k4_ordinal1) & v5_relat_1(k9_scmpds_6(A,B,C),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k9_scmpds_6(A,B,C)) & v1_funct_1(k9_scmpds_6(A,B,C)) & v1_finset_1(k9_scmpds_6(A,B,C)) & v1_afinsq_1(k9_scmpds_6(A,B,C)) ) ) )).
fof(dt_k9_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => v1_int_1(k9_scmpds_i(A)) ) )).
fof(dt_k9_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => m1_subset_1(k9_scmring2(A,B,C),u1_compos_1(k1_scmring2(A))) ) )).
fof(dt_k9_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_scmringi(A)) ) => m1_subset_1(k9_scmringi(A,B),u1_struct_0(A)) ) )).
fof(dt_k9_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v8_scmyciel(A) ) => v7_ordinal1(k9_scmyciel(A)) ) )).
fof(dt_k9_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => m2_finseq_1(k9_seq_4(A),k2_numbers) ) )).
fof(dt_k9_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k9_seqfunc(A,B,C)) & v1_funct_2(k9_seqfunc(A,B,C),k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(k9_seqfunc(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) ) )).
fof(dt_k9_setfam_1,axiom,( ! [A] : m1_subset_1(k9_setfam_1(A),k1_zfmisc_1(k1_zfmisc_1(A))) )).
fof(dt_k9_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_funct_1(k9_setlim_2(A,B,C)) & v1_funct_2(k9_setlim_2(A,B,C),k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(k9_setlim_2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) )).
fof(dt_k9_setwiseo,axiom,( ! [A] : ( v1_funct_1(k9_setwiseo(A)) & v1_funct_2(k9_setwiseo(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & m1_subset_1(k9_setwiseo(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)))) ) )).
fof(dt_k9_simplex0,axiom,( ! [A] : ( v7_ordinal1(A) => v1_int_1(k9_simplex0(A)) ) )).
fof(dt_k9_sin_cos,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => ( v1_funct_1(k9_sin_cos(A,B,C)) & v1_funct_2(k9_sin_cos(A,B,C),k4_ordinal1,k2_numbers) & m1_subset_1(k9_sin_cos(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) )).
fof(dt_k9_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m2_finseq_2(k9_stacks_1(A,B),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) ) )).
fof(dt_k9_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_sublemma(B,A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) & m1_substut1(C,A,B) ) => m2_subset_1(k9_sublemma(A,B,C),k16_substut1(A),k38_substut1(A)) ) )).
fof(dt_k9_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A,B,C),k1_zfmisc_1(A)) ) )).
fof(dt_k9_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => m1_subset_1(k9_substut1(A,B),k1_zfmisc_1(k3_qc_lang1(A))) ) )).
fof(dt_k9_supinf_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ~ v1_xboole_0(k9_supinf_2(A,B,C)) & m1_subset_1(k9_supinf_2(A,B,C),k1_zfmisc_1(k6_numbers)) ) ) )).
fof(dt_k9_tdlat_1,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(k9_tdlat_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_k9_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_pre_topc(B,A) ) => ( v1_funct_1(k9_tmap_1(A,B)) & v1_funct_2(k9_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))) & m1_subset_1(k9_tmap_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))))) ) ) )).
fof(dt_k9_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_borsuk_2(E,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D),k4_borsuk_1(A,B,C,D)) ) => m1_borsuk_2(k9_topalg_4(A,B,C,D,E),A,C,C) ) )).
fof(dt_k9_topalg_7,axiom,( v1_funct_1(k9_topalg_7) & v1_funct_2(k9_topalg_7,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k3_topmetr)) & m1_subset_1(k9_topalg_7,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k3_topmetr)))) )).
fof(dt_k9_toprealb,axiom,( m1_subset_1(k9_toprealb,u1_struct_0(k8_toprealb(2))) )).
fof(dt_k9_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => m1_subset_1(k9_toprealc(A,B,C),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_k9_trees_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k9_trees_3(A,B,C)) & v5_relat_1(k9_trees_3(A,B,C),B) & v1_funct_1(k9_trees_3(A,B,C)) & v3_trees_2(k9_trees_3(A,B,C)) ) ) )).
fof(dt_k9_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( v1_relat_1(k9_trees_4(A,B,C)) & v1_funct_1(k9_trees_4(A,B,C)) & v3_trees_2(k9_trees_4(A,B,C)) ) ) )).
fof(dt_k9_turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) => ( v1_funct_1(k9_turing_1(A,B)) & v1_funct_2(k9_turing_1(A,B),k4_ordinal1,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) & m1_subset_1(k9_turing_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))))) ) ) )).
fof(dt_k9_twoscomp,axiom,( v1_funct_1(k9_twoscomp) & v1_funct_2(k9_twoscomp,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(k9_twoscomp,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) )).
fof(dt_k9_uproots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_valued_0(B) & v2_pre_poly(B) ) => ( v1_funct_1(k9_uproots(A,B)) & v1_funct_2(k9_uproots(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k9_uproots(A,B),A) & m1_subset_1(k9_uproots(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) )).
fof(dt_k9_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k9_valued_1(A,B,C,D)) & m1_subset_1(k9_valued_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(dt_k9_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ~ v2_struct_0(k9_vectsp10(A,B,C)) & v7_vectsp_1(k9_vectsp10(A,B,C),A) & m1_vectsp_4(k9_vectsp10(A,B,C),A,B) ) ) )).
fof(dt_k9_waybel18,axiom,( v1_pre_topc(k9_waybel18) & l1_pre_topc(k9_waybel18) )).
fof(dt_k9_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k9_waybel34(A)) & v2_altcat_1(k9_waybel34(A)) & v6_altcat_1(k9_waybel34(A)) & v3_altcat_2(k9_waybel34(A),k5_waybel34(A)) & m1_altcat_2(k9_waybel34(A),k5_waybel34(A)) ) ) )).
fof(dt_k9_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k9_waybel_4(A)) & v1_funct_2(k9_waybel_4(A),u1_struct_0(k1_yellow_1(k3_waybel_4(A))),u1_struct_0(k8_waybel_4(A))) & m1_subset_1(k9_waybel_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow_1(k3_waybel_4(A))),u1_struct_0(k8_waybel_4(A))))) ) ) )).
fof(dt_k9_weierstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => v1_xreal_0(k9_weierstr(A,B,C)) ) )).
fof(dt_k9_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) ) => m1_subset_1(k9_yellow_3(A,B,C),u1_struct_0(B)) ) )).
fof(dt_k9_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(k9_yellow_6(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_k9_zf_lang,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & v1_zf_lang(B) & m1_finseq_1(B,k4_ordinal1) ) => ( v1_zf_lang(k9_zf_lang(A,B)) & m2_finseq_1(k9_zf_lang(A,B),k4_ordinal1) ) ) )).
fof(dt_k9_zf_model,axiom,( v1_zf_lang(k9_zf_model) & m2_finseq_1(k9_zf_model,k4_ordinal1) )).
fof(dt_k9_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_zmodul01(C,A) & m1_zmodul01(D,A) ) => m1_subset_1(k9_zmodul01(A,B,C,D),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) )).
fof(dt_k9_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ( v1_funct_1(k9_zmodul02(A,B)) & v1_funct_2(k9_zmodul02(A,B),k2_zfmisc_1(k4_numbers,k6_zmodul02(A,B)),k6_zmodul02(A,B)) & m1_subset_1(k9_zmodul02(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k6_zmodul02(A,B)),k6_zmodul02(A,B)))) ) ) )).
fof(dt_l1_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => l1_struct_0(A) ) )).
fof(dt_l1_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => l1_struct_0(A) ) )).
fof(dt_l1_algstr_3,axiom,( ! [A] : ( l1_algstr_3(A) => l4_struct_0(A) ) )).
fof(dt_l1_altcat_1,axiom,( ! [A] : ( l1_altcat_1(A) => l1_struct_0(A) ) )).
fof(dt_l1_analmetr,axiom,( ! [A] : ( l1_analmetr(A) => l1_struct_0(A) ) )).
fof(dt_l1_analoaf,axiom,( ! [A] : ( l1_analoaf(A) => l1_struct_0(A) ) )).
fof(dt_l1_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l1_aofa_a00(B,A) => l3_msualg_1(B,A) ) ) )).
fof(dt_l1_aofa_l00,axiom,( ! [A] : ( l1_aofa_l00(A) => l5_aofa_a00(A) ) )).
fof(dt_l1_bcialg_1,axiom,( ! [A] : ( l1_bcialg_1(A) => l1_struct_0(A) ) )).
fof(dt_l1_bcialg_4,axiom,( ! [A] : ( l1_bcialg_4(A) => ( l2_bcialg_1(A) & l2_struct_0(A) ) ) )).
fof(dt_l1_bhsp_1,axiom,( ! [A] : ( l1_bhsp_1(A) => l1_rlvect_1(A) ) )).
fof(dt_l1_cat_1,axiom,( ! [A] : ( l1_cat_1(A) => l1_graph_1(A) ) )).
fof(dt_l1_cat_4,axiom,( ! [A] : ( l1_cat_4(A) => l1_cat_1(A) ) )).
fof(dt_l1_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => l1_struct_0(A) ) )).
fof(dt_l1_cayldick,axiom,( ! [A] : ( l1_cayldick(A) => l1_lopban_2(A) ) )).
fof(dt_l1_cfuncdom,axiom,( ! [A] : ( l1_cfuncdom(A) => ( l6_algstr_0(A) & l1_clvect_1(A) ) ) )).
fof(dt_l1_clopban2,axiom,( ! [A] : ( l1_clopban2(A) => ( l1_cfuncdom(A) & l2_clvect_1(A) ) ) )).
fof(dt_l1_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure1(B,A) => l2_msualg_1(B,A) ) ) )).
fof(dt_l1_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_closure2(B,A) => l2_msualg_1(B,A) ) ) )).
fof(dt_l1_clvect_1,axiom,( ! [A] : ( l1_clvect_1(A) => l2_algstr_0(A) ) )).
fof(dt_l1_collsp,axiom,( ! [A] : ( l1_collsp(A) => l1_struct_0(A) ) )).
fof(dt_l1_conlat_1,axiom,( ! [A] : ( l1_conlat_1(A) => l5_struct_0(A) ) )).
fof(dt_l1_csspace,axiom,( ! [A] : ( l1_csspace(A) => l1_clvect_1(A) ) )).
fof(dt_l1_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => l1_struct_0(A) ) )).
fof(dt_l1_extpro_1,axiom,( ! [A] : ! [B] : ( l1_extpro_1(B,A) => ( l1_memstr_0(B,A) & l1_compos_1(B) ) ) )).
fof(dt_l1_fintopo2,axiom,( ! [A] : ( l1_fintopo2(A) => l1_struct_0(A) ) )).
fof(dt_l1_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => l4_struct_0(A) ) )).
fof(dt_l1_fsm_1,axiom,( ! [A] : ! [B] : ( l1_fsm_1(B,A) => l1_struct_0(B) ) )).
fof(dt_l1_fsm_2,axiom,( ! [A] : ! [B] : ( l1_fsm_2(B,A) => l1_fsm_1(B,A) ) )).
fof(dt_l1_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ! [C] : ( l1_fsm_3(C,A,B) => l1_rewrite3(C,B) ) ) )).
fof(dt_l1_funcsdom,axiom,( ! [A] : ( l1_funcsdom(A) => ( l6_algstr_0(A) & l1_rlvect_1(A) ) ) )).
fof(dt_l1_gaussint,axiom,( ! [A] : ( l1_gaussint(A) => ( l6_algstr_0(A) & l1_zmodul01(A) ) ) )).
fof(dt_l1_geomtrap,axiom,( ! [A] : ( l1_geomtrap(A) => ( l1_analoaf(A) & l1_midsp_1(A) ) ) )).
fof(dt_l1_graph_1,axiom,( ! [A] : ( l1_graph_1(A) => l5_struct_0(A) ) )).
fof(dt_l1_group_9,axiom,( ! [A] : ! [B] : ( l1_group_9(B,A) => l3_algstr_0(B) ) )).
fof(dt_l1_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => l1_struct_0(A) ) )).
fof(dt_l1_lang1,axiom,( ! [A] : ( l1_lang1(A) => l1_struct_0(A) ) )).
fof(dt_l1_lattices,axiom,( ! [A] : ( l1_lattices(A) => l1_struct_0(A) ) )).
fof(dt_l1_lopban_2,axiom,( ! [A] : ( l1_lopban_2(A) => ( l1_funcsdom(A) & l1_normsp_1(A) ) ) )).
fof(dt_l1_memstr_0,axiom,( ! [A] : ! [B] : ( l1_memstr_0(B,A) => l2_struct_0(B) ) )).
fof(dt_l1_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => l1_struct_0(A) ) )).
fof(dt_l1_midsp_1,axiom,( ! [A] : ( l1_midsp_1(A) => l1_struct_0(A) ) )).
fof(dt_l1_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_midsp_3(B,A) => l1_midsp_1(B) ) ) )).
fof(dt_l1_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => l1_struct_0(A) ) )).
fof(dt_l1_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => l4_robbins1(A) ) )).
fof(dt_l1_msualg_1,axiom,( ! [A] : ( l1_msualg_1(A) => l5_struct_0(A) ) )).
fof(dt_l1_normsp_0,axiom,( ! [A] : ( l1_normsp_0(A) => l1_struct_0(A) ) )).
fof(dt_l1_normsp_1,axiom,( ! [A] : ( l1_normsp_1(A) => ( l1_rlvect_1(A) & l2_normsp_0(A) ) ) )).
fof(dt_l1_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => l1_struct_0(A) ) )).
fof(dt_l1_osalg_1,axiom,( ! [A] : ( l1_osalg_1(A) => l1_msualg_1(A) ) )).
fof(dt_l1_parsp_1,axiom,( ! [A] : ( l1_parsp_1(A) => l1_struct_0(A) ) )).
fof(dt_l1_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => l1_struct_0(A) ) )).
fof(dt_l1_petri,axiom,( ! [A] : ( l1_petri(A) => l5_struct_0(A) ) )).
fof(dt_l1_petri_2,axiom,( ! [A] : ( l1_petri_2(A) => l1_petri(A) ) )).
fof(dt_l1_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_polyalg1(B,A) => ( l6_algstr_0(B) & l1_vectsp_1(B,A) ) ) ) )).
fof(dt_l1_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => l1_struct_0(A) ) )).
fof(dt_l1_prefer_1,axiom,( ! [A] : ( l1_prefer_1(A) => l1_struct_0(A) ) )).
fof(dt_l1_prelamb,axiom,( ! [A] : ( l1_prelamb(A) => l1_struct_0(A) ) )).
fof(dt_l1_quantal1,axiom,( ! [A] : ( l1_quantal1(A) => ( l3_lattices(A) & l3_algstr_0(A) ) ) )).
fof(dt_l1_rewrite3,axiom,( ! [A] : ! [B] : ( l1_rewrite3(B,A) => l1_struct_0(B) ) )).
fof(dt_l1_rltopsp1,axiom,( ! [A] : ( l1_rltopsp1(A) => ( l1_rlvect_1(A) & l1_pre_topc(A) ) ) )).
fof(dt_l1_rlvect_1,axiom,( ! [A] : ( l1_rlvect_1(A) => l2_algstr_0(A) ) )).
fof(dt_l1_robbins1,axiom,( ! [A] : ( l1_robbins1(A) => l1_struct_0(A) ) )).
fof(dt_l1_robbins3,axiom,( ! [A] : ( l1_robbins3(A) => ( l2_lattices(A) & l1_orders_2(A) ) ) )).
fof(dt_l1_roughs_4,axiom,( ! [A] : ( l1_roughs_4(A) => l1_struct_0(A) ) )).
fof(dt_l1_sgraph1,axiom,( ! [A] : ( l1_sgraph1(A) => l1_struct_0(A) ) )).
fof(dt_l1_sheffer1,axiom,( ! [A] : ( l1_sheffer1(A) => l1_struct_0(A) ) )).
fof(dt_l1_stacks_1,axiom,( ! [A] : ( l1_stacks_1(A) => l5_struct_0(A) ) )).
fof(dt_l1_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( l1_symsp_1(B,A) => ( l1_orders_2(B) & l1_vectsp_1(B,A) ) ) ) )).
fof(dt_l1_topgrp_1,axiom,( ! [A] : ( l1_topgrp_1(A) => ( l3_algstr_0(A) & l1_pre_topc(A) ) ) )).
fof(dt_l1_unialg_1,axiom,( ! [A] : ( l1_unialg_1(A) => l1_struct_0(A) ) )).
fof(dt_l1_vectmetr,axiom,( ! [A] : ( l1_vectmetr(A) => ( l1_rlvect_1(A) & l1_metric_1(A) ) ) )).
fof(dt_l1_vectsp_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_vectsp_1(B,A) => l2_algstr_0(B) ) ) )).
fof(dt_l1_vectsp_2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_vectsp_2(B,A) => l2_algstr_0(B) ) ) )).
fof(dt_l1_waybel_0,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => l1_orders_2(B) ) ) )).
fof(dt_l1_waybel_9,axiom,( ! [A] : ( l1_waybel_9(A) => ( l1_pre_topc(A) & l1_orders_2(A) ) ) )).
fof(dt_l1_zmodul01,axiom,( ! [A] : ( l1_zmodul01(A) => l2_algstr_0(A) ) )).
fof(dt_l2_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ( l1_orders_2(A) & l1_abcmiz_0(A) ) ) )).
fof(dt_l2_absred_0,axiom,( ! [A] : ( l2_absred_0(A) => ( l1_absred_0(A) & l1_unialg_1(A) ) ) )).
fof(dt_l2_algstr_0,axiom,( ! [A] : ( l2_algstr_0(A) => ( l2_struct_0(A) & l1_algstr_0(A) ) ) )).
fof(dt_l2_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => l1_altcat_1(A) ) )).
fof(dt_l2_analmetr,axiom,( ! [A] : ( l2_analmetr(A) => ( l1_analoaf(A) & l1_analmetr(A) ) ) )).
fof(dt_l2_aofa_l00,axiom,( ! [A] : ! [B] : ( l2_aofa_l00(B,A) => l1_aofa_l00(B) ) )).
fof(dt_l2_bcialg_1,axiom,( ! [A] : ( l2_bcialg_1(A) => ( l1_bcialg_1(A) & l2_struct_0(A) ) ) )).
fof(dt_l2_cat_4,axiom,( ! [A] : ( l2_cat_4(A) => l1_cat_1(A) ) )).
fof(dt_l2_clvect_1,axiom,( ! [A] : ( l2_clvect_1(A) => ( l1_clvect_1(A) & l2_normsp_0(A) ) ) )).
fof(dt_l2_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( l2_fsm_1(C,A,B) => l1_fsm_1(C,A) ) ) )).
fof(dt_l2_fsm_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( l2_fsm_2(C,A,B) => ( l1_fsm_2(C,A) & l3_fsm_1(C,A,B) ) ) ) )).
fof(dt_l2_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ! [C] : ( l2_fsm_3(C,A,B) => l1_fsm_3(C,A,B) ) ) )).
fof(dt_l2_functor0,axiom,( ! [A] : ! [B] : ( ( l1_altcat_1(A) & l1_altcat_1(B) ) => ! [C] : ( l2_functor0(C,A,B) => l1_functor0(C,A,B) ) ) )).
fof(dt_l2_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => l1_incsp_1(A) ) )).
fof(dt_l2_lang1,axiom,( ! [A] : ( l2_lang1(A) => l1_lang1(A) ) )).
fof(dt_l2_lattices,axiom,( ! [A] : ( l2_lattices(A) => l1_struct_0(A) ) )).
fof(dt_l2_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => l3_robbins1(A) ) )).
fof(dt_l2_modelc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( l2_modelc_3(B,A) => l1_struct_0(B) ) ) )).
fof(dt_l2_normsp_0,axiom,( ! [A] : ( l2_normsp_0(A) => ( l1_normsp_0(A) & l2_struct_0(A) ) ) )).
fof(dt_l2_osalg_1,axiom,( ! [A] : ( l2_osalg_1(A) => ( l1_msualg_1(A) & l1_orders_2(A) ) ) )).
fof(dt_l2_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ( l1_orders_2(A) & l1_pcs_0(A) ) ) )).
fof(dt_l2_prefer_1,axiom,( ! [A] : ( l2_prefer_1(A) => ( l1_prefer_1(A) & l1_pcs_0(A) ) ) )).
fof(dt_l2_prelamb,axiom,( ! [A] : ( l2_prelamb(A) => l1_prelamb(A) ) )).
fof(dt_l2_qmax_1,axiom,( ! [A] : ( l2_qmax_1(A) => ( l1_orders_2(A) & l1_robbins1(A) ) ) )).
fof(dt_l2_quantal1,axiom,( ! [A] : ( l2_quantal1(A) => ( l1_quantal1(A) & l4_algstr_0(A) ) ) )).
fof(dt_l2_robbins1,axiom,( ! [A] : ( l2_robbins1(A) => ( l2_lattices(A) & l1_robbins1(A) ) ) )).
fof(dt_l2_robbins3,axiom,( ! [A] : ( l2_robbins3(A) => ( l1_lattices(A) & l1_orders_2(A) ) ) )).
fof(dt_l2_roughs_4,axiom,( ! [A] : ( l2_roughs_4(A) => l1_struct_0(A) ) )).
fof(dt_l2_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => l1_struct_0(A) ) )).
fof(dt_l2_vectsp_2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ! [C] : ( l2_vectsp_2(C,A,B) => ( l1_vectsp_1(C,A) & l1_vectsp_2(C,B) ) ) ) )).
fof(dt_l3_abcmiz_0,axiom,( ! [A] : ( l3_abcmiz_0(A) => l2_abcmiz_0(A) ) )).
fof(dt_l3_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => l1_struct_0(A) ) )).
fof(dt_l3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msafree(C,A,B) ) => ! [D] : ( l3_aofa_a00(D,A,B,C) => l1_unialg_1(D) ) ) )).
fof(dt_l3_aofa_l00,axiom,( ! [A] : ! [B] : ( l3_aofa_l00(B,A) => l2_aofa_l00(B,A) ) )).
fof(dt_l3_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( l3_fsm_1(C,A,B) => l1_fsm_1(C,A) ) ) )).
fof(dt_l3_lattices,axiom,( ! [A] : ( l3_lattices(A) => ( l1_lattices(A) & l2_lattices(A) ) ) )).
fof(dt_l3_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => l2_msualg_1(B,A) ) ) )).
fof(dt_l3_osalg_1,axiom,( ! [A] : ( l3_osalg_1(A) => ( l1_osalg_1(A) & l2_osalg_1(A) ) ) )).
fof(dt_l3_prefer_1,axiom,( ! [A] : ( l3_prefer_1(A) => ( l2_prefer_1(A) & l1_orders_2(A) & l1_prefer_1(A) ) ) )).
fof(dt_l3_quantal1,axiom,( ! [A] : ( l3_quantal1(A) => l2_quantal1(A) ) )).
fof(dt_l3_robbins1,axiom,( ! [A] : ( l3_robbins1(A) => ( l1_lattices(A) & l1_robbins1(A) ) ) )).
fof(dt_l3_robbins3,axiom,( ! [A] : ( l3_robbins3(A) => ( l2_robbins3(A) & l1_robbins3(A) & l3_lattices(A) ) ) )).
fof(dt_l3_sheffer1,axiom,( ! [A] : ( l3_sheffer1(A) => ( l1_sheffer1(A) & l4_robbins1(A) ) ) )).
fof(dt_l3_struct_0,axiom,( ! [A] : ( l3_struct_0(A) => l1_struct_0(A) ) )).
fof(dt_l4_algstr_0,axiom,( ! [A] : ( l4_algstr_0(A) => ( l3_struct_0(A) & l3_algstr_0(A) ) ) )).
fof(dt_l4_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l4_aofa_l00(C,A,B) => l3_msualg_1(C,A) ) ) )).
fof(dt_l4_robbins1,axiom,( ! [A] : ( l4_robbins1(A) => ( l2_robbins1(A) & l3_lattices(A) ) ) )).
fof(dt_l4_robbins3,axiom,( ! [A] : ( l4_robbins3(A) => ( l3_robbins3(A) & l4_robbins1(A) & l2_qmax_1(A) ) ) )).
fof(dt_l4_roughs_4,axiom,( ! [A] : ( l4_roughs_4(A) => ( l1_roughs_4(A) & l1_pre_topc(A) ) ) )).
fof(dt_l4_struct_0,axiom,( ! [A] : ( l4_struct_0(A) => ( l2_struct_0(A) & l3_struct_0(A) ) ) )).
fof(dt_l5_algstr_0,axiom,( ! [A] : ( l5_algstr_0(A) => ( l4_algstr_0(A) & l4_struct_0(A) ) ) )).
fof(dt_l5_aofa_a00,axiom,( ! [A] : ( l5_aofa_a00(A) => l1_msualg_1(A) ) )).
fof(dt_l5_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v3_relat_1(C) & m1_msafree(C,A,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_aofa_l00(D,A) & l2_aofa_l00(D,k4_aofa_l00(A,B,C)) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(D)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(D)) & v1_aofa_l00(E,C) ) => ! [F] : ( l5_aofa_l00(F,A,B,C,D,E) => ( l1_aofa_a00(F,D) & l4_aofa_l00(F,D,E) ) ) ) )).
fof(dt_l5_roughs_4,axiom,( ! [A] : ( l5_roughs_4(A) => ( l2_roughs_4(A) & l1_pre_topc(A) ) ) )).
fof(dt_l5_struct_0,axiom,( ! [A] : ( l5_struct_0(A) => l1_struct_0(A) ) )).
fof(dt_l6_algstr_0,axiom,( ! [A] : ( l6_algstr_0(A) => ( l2_algstr_0(A) & l5_algstr_0(A) ) ) )).
fof(dt_l6_aofa_a00,axiom,( ! [A] : ( l6_aofa_a00(A) => l5_aofa_a00(A) ) )).
fof(dt_l6_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v3_relat_1(C) & m1_msafree(C,A,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_aofa_l00(D,A) & l2_aofa_l00(D,k4_aofa_l00(A,B,C)) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(D)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(D)) & v1_aofa_l00(E,C) ) => ! [F] : ( l6_aofa_l00(F,A,B,C,D,E) => ( l5_aofa_l00(F,A,B,C,D,E) & l3_aofa_a00(F,A,B,C) ) ) ) )).
fof(dt_m1_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_abcmiz_1(C,A,B) => m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) ) )).
fof(dt_m1_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => ! [C] : ( m1_abcmiz_a(C,A,B) => m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) ) )).
fof(dt_m1_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_alg_1(B,A) => ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(dt_m1_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_algspec1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(dt_m1_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_algstr_4(B,A) => l3_algstr_0(B) ) ) )).
fof(dt_m1_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( m1_altcat_2(B,A) => l2_altcat_1(B) ) ) )).
fof(dt_m1_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ! [E] : ( m1_altcat_5(E,A,B,C,D) => ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) ) ) ) )).
fof(dt_m1_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ! [E] : ( m1_altcat_6(E,A,B,C,D) => ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) ) ) ) )).
fof(dt_m1_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( m1_aofa_000(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) ) ) )).
fof(dt_m1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_aofa_a00(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_funcop_1(D) ) ) ) )).
fof(dt_m1_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k9_funct_2(A,k4_numbers),B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),B),C))) ) => ! [E] : ( m1_aofa_i00(E,A,B,C,D) => m1_subset_1(E,A) ) ) )).
fof(dt_m1_armstrng,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => ! [C] : ( m1_armstrng(C,A,B) => m1_subset_1(C,k4_armstrng(A)) ) ) )).
fof(dt_m1_autalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_autalg_1(A,B,B))) ) => ! [D] : ( m1_autalg_1(D,A,B,C) => m2_pboole(D,A,B,B) ) ) )).
fof(dt_m1_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_1(B,A) => ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) ) ) )).
fof(dt_m1_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_2(B,A) => ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(dt_m1_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_3(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m1_bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ! [E] : ( m1_bcialg_5(E,A,B,C,D) => ( ~ v2_struct_0(E) & v3_bcialg_1(E) & v4_bcialg_1(E) & v5_bcialg_1(E) & v7_bcialg_1(E) & l2_bcialg_1(E) ) ) ) )).
fof(dt_m1_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bciideal(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m1_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_bhsp_5(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) ) => ! [B] : ( m1_bintree2(B,A) => m2_finseq_1(B,k5_margrel1) ) ) )).
fof(dt_m1_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_borsuk_1(B,A) => ( ~ v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) ) ) ) )).
fof(dt_m1_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) ) ) )).
fof(dt_m1_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => ! [F] : ( m1_borsuk_6(F,A,B,C,D,E) => ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) ) ) )).
fof(dt_m1_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => ! [C] : ( m1_bvfunc_1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_bvfunc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_eqrel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) => ! [C] : ( m1_bvfunc_2(C,A,B) => m1_eqrel_1(C,A) ) ) )).
fof(dt_m1_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_c0sp1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) ) ) )).
fof(dt_m1_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_card_fil(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(dt_m1_card_lar,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_card_lar(C,A,B) => m1_subset_1(C,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_cat_1(D,A,B,C) => m1_subset_1(D,u4_struct_0(A)) ) ) )).
fof(dt_m1_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_cat_2(C,A,B) => ~ v1_xboole_0(C) ) ) )).
fof(dt_m1_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [D] : ( m1_cat_3(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,C,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u4_struct_0(A)))) ) ) ) )).
fof(dt_m1_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => ! [B] : ( m1_cat_5(B,A) => ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) ) ) )).
fof(dt_m1_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) & m1_subset_1(C,k6_cat_6(A)) ) => ! [D] : ( m1_cat_7(D,A,B,C) => m1_subset_1(D,k1_cat_6(A)) ) ) )).
fof(dt_m1_catalan2,axiom,( ! [A] : ! [B] : ( m1_catalan2(B,A) => ( v4_funct_1(B) & ~ v1_xboole_0(B) ) ) )).
fof(dt_m1_catalg_1,axiom,( ! [A] : ! [B] : ( m1_catalg_1(B,A) => ( v1_instalg1(B) & l1_msualg_1(B) ) ) )).
fof(dt_m1_cc0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ! [B] : ( m1_cc0sp1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v2_cfuncdom(B) & l1_cfuncdom(B) ) ) ) )).
fof(dt_m1_cfdiff_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( m1_cfdiff_1(B,A) => m1_subset_1(B,k1_zfmisc_1(k2_numbers)) ) ) )).
fof(dt_m1_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_chain_1(B,A) => ( v1_funct_1(B) & v1_funct_2(B,k2_finseq_1(A),k1_zfmisc_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_zfmisc_1(k1_numbers)))) ) ) ) )).
fof(dt_m1_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [C] : ( m1_chord(C,A,B) => m1_glib_000(C,A) ) ) )).
fof(dt_m1_circcmb3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_circcmb3(B,A) => ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & v5_circcomb(B) & l1_msualg_1(B) ) ) ) )).
fof(dt_m1_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_msaterm(C,A,B) & v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) & m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D)))) ) => ! [F] : ( m1_circtrm1(F,A,B,C,D,E) => m2_pboole(F,u1_struct_0(A),B,u3_msualg_1(A,D)) ) ) )).
fof(dt_m1_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => ! [D] : ( m1_closure2(D,A,B,C) => m3_pboole(D,A,B) ) ) )).
fof(dt_m1_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_clvect_1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) ) ) )).
fof(dt_m1_complfld,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_complfld)) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_complfld(C,A,B) => m1_subset_1(C,u1_struct_0(k1_complfld)) ) ) )).
fof(dt_m1_comptrig,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( m1_comptrig(C,A,B) => v1_xcmplx_0(C) ) ) )).
fof(dt_m1_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_rfunct_3(C,A,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ! [E] : ( m1_comput_1(E,A,B,C,D) => m2_rfunct_3(E,A,B,C) ) ) )).
fof(dt_m1_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_conlat_1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(dt_m1_connsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_connsp_2(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_connsp_3(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_convex4(B,A) => m2_funct_2(B,u1_struct_0(A),k2_numbers,k9_funct_2(u1_struct_0(A),k2_numbers)) ) ) )).
fof(dt_m1_dblseq_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A))) ) => ! [C] : ( m1_dblseq_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A))) ) ) ) )).
fof(dt_m1_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_decomp_1(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_dist_1(B,A) => ( v1_matrprob(B) & m2_finseq_1(B,k1_numbers) ) ) ) )).
fof(dt_m1_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) => m2_finseq_1(C,A) ) ) )).
fof(dt_m1_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_trees_3(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( m1_dtconstr(D,A,B,C) => m1_subset_1(D,B) ) ) )).
fof(dt_m1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_dualsp01(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) ) ) )).
fof(dt_m1_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_dynkin(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(dt_m1_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ec_pf_1(B,A) => ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) ) ) )).
fof(dt_m1_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_m1_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => ! [B] : ( m1_exchsort(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_exchsort(B) ) ) ) )).
fof(dt_m1_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( m1_extpro_1(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) ) ) )).
fof(dt_m1_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) ) => ! [C] : ( m1_filter_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) )).
fof(dt_m1_finance1,axiom,( ! [A] : ( m1_finance1(A) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) )).
fof(dt_m1_finseq_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) )).
fof(dt_m1_fintopo6,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_fintopo6(B,A) => l1_orders_2(B) ) ) )).
fof(dt_m1_fomodel0,axiom,( ! [A] : ! [B] : ( m1_fomodel0(B,A) => m2_finseq_2(B,A,k3_finseq_2(A)) ) )).
fof(dt_m1_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_freealg(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_funct_2(C,A,B) => ~ v1_xboole_0(C) ) )).
fof(dt_m1_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( m1_funct_7(C,A,B) => ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) ) ) )).
fof(dt_m1_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ! [F] : ( m1_functor0(F,A,B,C,D,E) => ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) ) ) )).
fof(dt_m1_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & m2_functor0(C,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_functor2(E,A,B,C,D) => ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(A)) ) ) ) )).
fof(dt_m1_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_functor3(E,A,B,C,D) => m2_functor2(E,A,B,C,D) ) ) )).
fof(dt_m1_fvaluat1,axiom,( ! [A] : ( l6_algstr_0(A) => ! [B] : ( m1_fvaluat1(B,A) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k6_numbers) & v2_fvaluat1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_numbers))) ) ) ) )).
fof(dt_m1_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m1_gcd_1(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m1_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m1_genealg1(B,A) => m2_finseq_1(B,k3_card_3(A)) ) ) )).
fof(dt_m1_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) ) ) )).
fof(dt_m1_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_001(B,A) => m2_finseq_1(B,k6_glib_000(A)) ) ) )).
fof(dt_m1_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_glib_004(A))) ) => ! [C] : ( m1_glib_004(C,A,B) => ( v1_glib_003(C) & v4_glib_003(C,A) & m1_glib_000(C,A) ) ) ) )).
fof(dt_m1_glib_005,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_glib_005(C,A,B) => ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A),k2_xboole_0(k6_domain_1(k4_ordinal1,1),k7_glib_000(A))))) ) ) ) )).
fof(dt_m1_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) )).
fof(dt_m1_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_finseq_2(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( m1_graph_3(D,A,B,C) => m2_finseq_1(D,A) ) ) )).
fof(dt_m1_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_finseq_2(A))) ) => ! [C] : ( m1_graph_5(C,A,B) => m2_finseq_1(C,A) ) ) )).
fof(dt_m1_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( m1_grcat_1(C,A,B) => ( v2_grcat_1(C) & l1_grcat_1(C) ) ) ) )).
fof(dt_m1_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_19(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) ) ) )).
fof(dt_m1_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ~ v2_struct_0(B) & v2_group_1(B) & l3_algstr_0(B) ) ) ) )).
fof(dt_m1_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ! [C] : ( m1_group_6(C,A,B) => m1_group_2(C,A) ) ) )).
fof(dt_m1_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) ) ) )).
fof(dt_m1_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m1_hallmar1(D,A,B,C) => m2_finseq_1(D,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_henmodel,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m1_henmodel(C,A,B) => m1_valuat_1(C,A,k1_henmodel(A)) ) ) )).
fof(dt_m1_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_hilbert3(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(dt_m1_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [B] : ( m1_huffman1(B,A) => ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) ) ) )).
fof(dt_m1_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_ideal_1(C,A,B) => m2_finseq_1(C,u1_struct_0(A)) ) ) )).
fof(dt_m1_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_incproj(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => l1_msualg_1(B) ) ) )).
fof(dt_m1_int_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_int_3(A) & l6_algstr_0(A) ) => ! [B] : ( m1_int_3(B,A) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1))) ) ) ) )).
fof(dt_m1_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( m1_int_6(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) )).
fof(dt_m1_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => ! [D] : ( m1_integr15(D,A,B,C) => m2_finseq_1(D,k1_numbers) ) ) )).
fof(dt_m1_integr16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & m1_integra1(C,A) ) => ! [D] : ( m1_integr16(D,A,B,C) => m2_finseq_1(D,k2_numbers) ) ) )).
fof(dt_m1_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & m1_integra1(D,B) ) => ! [E] : ( m1_integr18(E,A,B,C,D) => m2_finseq_1(E,u1_struct_0(A)) ) ) )).
fof(dt_m1_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ( ~ v1_xboole_0(B) & v5_valued_0(B) & m2_finseq_1(B,k1_numbers) ) ) ) )).
fof(dt_m1_interva1,axiom,( ! [A] : ! [B] : ( m1_interva1(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_m1_isocat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_isocat_1(C,A,B) => m2_cat_1(C,A,B) ) ) )).
fof(dt_m1_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) ) )).
fof(dt_m1_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( m1_kolmog01(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,A,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(C)))) ) ) ) )).
fof(dt_m1_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( m1_lattad_1(B,A) => l3_lattices(B) ) ) )).
fof(dt_m1_lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(dt_m1_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ( v1_relat_1(D) & v5_relat_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) & v1_funct_1(D) & v5_ordinal1(D) ) ) ) )).
fof(dt_m1_lattice7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_lattice7(D,A,B,C) => ( ~ v1_xboole_0(D) & v6_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m1_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice8(D,A,B,C) => ( v1_relat_1(D) & v1_funct_1(D) ) ) ) )).
fof(dt_m1_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_lexbfs(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) ) ) )).
fof(dt_m1_lmod_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_lmod_7(C,A,B) => ~ v1_xboole_0(C) ) ) )).
fof(dt_m1_ltlaxio4,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_ltlaxio4(B,A) => ( v2_funct_1(B) & m2_finseq_1(B,A) ) ) ) )).
fof(dt_m1_margrel1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_margrel1(B,A) => ( v3_finseq_1(B) & v2_card_3(B) ) ) ) )).
fof(dt_m1_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => ! [B] : ( m1_matrix_1(B,A) => ( v1_funct_1(B) & v1_funct_2(B,k2_finseq_1(k8_matrix_1(A)),k2_finseq_1(k8_matrix_1(A))) & v3_funct_2(B,k2_finseq_1(k8_matrix_1(A)),k2_finseq_1(k8_matrix_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k8_matrix_1(A)),k2_finseq_1(k8_matrix_1(A))))) ) ) ) )).
fof(dt_m1_matrixj2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_matrixj2(C,A,B) => ( v1_matrixj2(C,A) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) ) ) )).
fof(dt_m1_matrlin,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => m2_finseq_1(C,u1_struct_0(B)) ) ) )).
fof(dt_m1_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_matroid0(B,A) => ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m1_measure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_measure1(D,A,B,C) => m2_subset_1(D,k1_zfmisc_1(A),B) ) ) )).
fof(dt_m1_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_measure2(C,A,B) => ( ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(dt_m1_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_measure3(D,A,B,C) => m1_subset_1(D,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k6_numbers))) ) ) )).
fof(dt_m1_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_measure7(B,A) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) ) ) )).
fof(dt_m1_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_metric_2(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_midsp_1(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(dt_m1_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_midsp_3(B,A) => v7_ordinal1(B) ) ) )).
fof(dt_m1_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_mod_2(D,A,B,C) => ( v3_mod_2(D,A) & l1_mod_2(D,A) ) ) ) )).
fof(dt_m1_mod_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_mod_3(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_m1_mod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( m1_mod_4(F,A,B,C,D,E) => ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) ) ) )).
fof(dt_m1_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(dt_m1_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_modelc_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) ) )).
fof(dt_m1_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_monoid_0(B,A) => l4_algstr_0(B) ) ) )).
fof(dt_m1_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msafree(C,A,B) => m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) ) )).
fof(dt_m1_msafree2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msafree2(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,k2_msafree2(A)) & v1_funct_1(C) & v1_partfun1(C,k2_msafree2(A)) ) ) ) )).
fof(dt_m1_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k10_xtuple_0(B)) ) => ! [D] : ( m1_msafree4(D,A,B,C) => m1_subset_1(D,k3_card_3(B)) ) ) )).
fof(dt_m1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_msafree5(D,A,B,C) => m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) ) )).
fof(dt_m1_msalimit,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_msalimit(C,A,B) => m1_pralg_2(C,u1_struct_0(A),B) ) ) )).
fof(dt_m1_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k7_dtconstr(k5_msafree(A,B))) ) => ! [D] : ( m1_msaterm(D,A,B,C) => m1_trees_4(D,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) )).
fof(dt_m1_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_2(C,A,B) => l3_msualg_1(C,A) ) ) )).
fof(dt_m1_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_msualg_4(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) ) ) )).
fof(dt_m1_msualg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_6(C,A,B) => m2_pboole(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_m1_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_mycielsk(B,A) => ( v1_orders_2(B) & l1_orders_2(B) ) ) ) )).
fof(dt_m1_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_nat_6(B,A) => v7_ordinal1(B) ) ) )).
fof(dt_m1_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u4_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(B)))) ) ) ) )).
fof(dt_m1_ncfcont1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_ncfcont1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_nfcont_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_nfcont_1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_oppcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) ) ) )).
fof(dt_m1_orders_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_orders_1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(dt_m1_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_orders_2(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ! [B] : ( m1_orders_3(B,A) => ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) ) ) )).
fof(dt_m1_orders_4,axiom,( ! [A] : ( m1_orders_4(A) => l1_orders_2(A) ) )).
fof(dt_m1_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_osafree(C,A,B) => m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) ) )).
fof(dt_m1_osalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & m1_subset_1(B,k7_osalg_1(A)) ) => ! [C] : ( m1_osalg_1(C,A,B) => m1_subset_1(C,u4_struct_0(A)) ) ) )).
fof(dt_m1_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_osalg_4(C,A,B) => m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(dt_m1_partit_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) ) => ! [C] : ( m1_partit_2(C,A,B) => m1_eqrel_1(C,A) ) ) )).
fof(dt_m1_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_pboole(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) )).
fof(dt_m1_pencil_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & v14_pencil_1(B) ) => ! [C] : ( m1_pencil_2(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) ) ) )).
fof(dt_m1_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_petri(D,A,B,C) => m1_subset_1(D,k2_zfmisc_1(A,B)) ) ) )).
fof(dt_m1_petri_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ! [C] : ( m1_petri_2(C,A,B) => ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,A))) ) ) ) )).
fof(dt_m1_petri_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) ) => ! [C] : ( m1_petri_3(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,k2_petri_3(A)) & v1_funct_1(C) & v1_partfun1(C,k2_petri_3(A)) ) ) ) )).
fof(dt_m1_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( m1_petri_df(E,A,B,C,D) => m2_finseq_1(E,B) ) ) )).
fof(dt_m1_polyalg1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_polyalg1(B,A) ) => ! [C] : ( m1_polyalg1(C,A,B) => l1_polyalg1(C,A) ) ) )).
fof(dt_m1_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) )).
fof(dt_m1_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) ) => ! [D] : ( m1_pralg_3(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) ) ) )).
fof(dt_m1_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) ) => ! [C] : ( m1_pre_poly(C,A,B) => m1_subset_1(C,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => l1_pre_topc(B) ) ) )).
fof(dt_m1_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( m1_prelamb(B,A) => ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1)) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) ) ) )).
fof(dt_m1_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_prob_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_3(C,A,B) => m2_finseq_1(C,k9_setfam_1(A)) ) ) )).
fof(dt_m1_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ! [D] : ( m1_prob_4(D,A,B,C) => m1_subset_1(D,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_projred2(B,A) => ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u1_incsp_1(A)))) ) ) ) )).
fof(dt_m1_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( m1_prvect_1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(dt_m1_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [C] : ( m1_prvect_2(C,A,B) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(dt_m1_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_partfun1(A,B))) ) => ! [D] : ( m1_pua2mss1(D,A,B,C) => ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) )).
fof(dt_m1_pythtrip,axiom,( ! [A] : ( m1_pythtrip(A) => m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) )).
fof(dt_m1_qc_lang4,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ! [C] : ( m1_qc_lang4(C,A,B) => m1_subset_1(C,k9_qc_lang1(A)) ) ) )).
fof(dt_m1_random_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) )).
fof(dt_m1_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_rcomp_1(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) ) )).
fof(dt_m1_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) ) => ! [D] : ( m1_rcomp_3(D,A,B,C) => m2_finseq_1(D,k9_setfam_1(k1_numbers)) ) ) )).
fof(dt_m1_realset1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m1_realset1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( m1_rewrite1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) )).
fof(dt_m1_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_ringcat1(C,A,B) => ( v2_ringcat1(C) & v3_ringcat1(C) & l1_ringcat1(C) ) ) ) )).
fof(dt_m1_rlaffin3,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_rlaffin3(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) & v1_finseq_1(B) ) ) ) )).
fof(dt_m1_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) ) ) )).
fof(dt_m1_rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ! [C] : ( m1_rlsub_2(C,A,B) => m1_rlsub_1(C,A) ) ) )).
fof(dt_m1_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => m2_funct_2(B,u1_struct_0(A),k1_numbers,k9_funct_2(u1_struct_0(A),k1_numbers)) ) ) )).
fof(dt_m1_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_3(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_rmod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,A) & l1_vectsp_2(C,A) ) ) ) )).
fof(dt_m1_rmod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => m2_funct_2(C,u1_struct_0(B),u1_struct_0(A),k9_funct_2(u1_struct_0(B),u1_struct_0(A))) ) ) )).
fof(dt_m1_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) ) ) )).
fof(dt_m1_rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ! [C] : ( m1_rusub_2(C,A,B) => m1_rusub_1(C,A) ) ) )).
fof(dt_m1_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_3(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( m1_scm_1(B,A) => ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) ) ) ) )).
fof(dt_m1_scmfsa_2,axiom,( ! [A] : ( m1_scmfsa_2(A) => m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) )).
fof(dt_m1_scmyciel,axiom,( ! [A] : ! [B] : ( m1_scmyciel(B,A) => v4_scmyciel(B) ) )).
fof(dt_m1_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ( v1_sgraph1(B) & l1_sgraph1(B) ) ) )).
fof(dt_m1_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => l1_pre_topc(B) ) )).
fof(dt_m1_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_simplex0(B,u1_struct_0(A)) ) => ! [C] : ( m1_simplex1(C,A,B) => m1_simplex0(C,u1_struct_0(A)) ) ) )).
fof(dt_m1_simplex2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) => ! [C] : ( m1_simplex2(C,A,B) => ( v1_xreal_0(C) & v2_xxreal_0(C) ) ) ) )).
fof(dt_m1_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) ) => ! [D] : ( m1_stacks_1(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) ) ) )).
fof(dt_m1_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => ! [C] : ( m1_substut1(C,A,B) => m1_subset_1(C,k1_substut1(A)) ) ) )).
fof(dt_m1_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => ! [D] : ( m1_substut2(D,A,B,C) => ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) ) ) )).
fof(dt_m1_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_taxonom1(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) ) ) )).
fof(dt_m1_taxonom2,axiom,( ! [A] : ! [B] : ( m1_taxonom2(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(dt_m1_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_topgen_2(B,A) => ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) ) ) )).
fof(dt_m1_topgrp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ! [C] : ( m1_topgrp_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(dt_m1_topmetr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_topmetr(B,A) => ( v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) ) ) )).
fof(dt_m1_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => m2_finseq_1(B,k4_ordinal1) ) ) )).
fof(dt_m1_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_2(B,A) => m1_subset_1(B,k1_zfmisc_1(A)) ) ) )).
fof(dt_m1_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_trees_3(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(dt_m1_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_trees_4(C,A,B) => m2_finseq_1(C,A) ) ) )).
fof(dt_m1_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) ) ) )).
fof(dt_m1_urysohn1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_urysohn1(D,A,B,C) => m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(D) ) => ! [E] : ( m1_urysohn3(E,A,B,C,D) => ( v1_funct_1(E) & v1_funct_2(E,k1_urysohn1(D),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A))))) ) ) ) )).
fof(dt_m1_valuat_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m1_valuat_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k6_qc_lang1(A),k2_margrel1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_qc_lang1(A),k2_margrel1(B)))) ) ) ) )).
fof(dt_m1_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_valued_0(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) ) ) )).
fof(dt_m1_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_vectsp11(D,A,B,C) => m1_subset_1(D,u1_struct_0(A)) ) ) )).
fof(dt_m1_vectsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) ) ) )).
fof(dt_m1_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ! [D] : ( m1_vectsp_5(D,A,B,C) => m1_vectsp_4(D,A,B) ) ) )).
fof(dt_m1_vectsp_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => m2_funct_2(C,u1_struct_0(B),u1_struct_0(A),k9_funct_2(u1_struct_0(B),u1_struct_0(A))) ) ) )).
fof(dt_m1_waybel12,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_waybel12(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_waybel16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_waybel16(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(dt_m1_waybel21,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_waybel21(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(dt_m1_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_waybel23(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_waybel35,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_waybel35(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( m1_xxreal_2(B,A) => v1_xxreal_0(B) ) ) )).
fof(dt_m1_yellow13,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_yellow13(C,A,B) => m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_m1_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_yellow19(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m1_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_yellow_0(B,A) => l1_orders_2(B) ) ) )).
fof(dt_m1_yellow_6,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_waybel_0(B,A) ) => ! [C] : ( m1_yellow_6(C,A,B) => l1_waybel_0(C,A) ) ) )).
fof(dt_m1_yellow_9,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_yellow_9(B,A) => l1_waybel_9(B) ) ) )).
fof(dt_m1_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) ) ) )).
fof(dt_m1_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_zmodul02(B,A) => m2_funct_2(B,u1_struct_0(A),k4_numbers,k9_funct_2(u1_struct_0(A),k4_numbers)) ) ) )).
fof(dt_m1_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul03(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m2_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m2_abcmiz_1(C,A,B) => m1_subset_1(C,u4_struct_0(A)) ) ) )).
fof(dt_m2_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k4_abcmiz_1) => ! [B] : ( m2_abcmiz_a(B,A) => ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k4_abcmiz_a))) ) ) ) )).
fof(dt_m2_algspec1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m2_algspec1(B,A) => ( v1_instalg1(B) & l1_msualg_1(B) ) ) ) )).
fof(dt_m2_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ! [E] : ( m2_aofa_a00(E,A,B,C,D) => m1_aofa_a00(E,A,B,C) ) ) )).
fof(dt_m2_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m2_aofa_i00(E,A,B,C,D) => ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(B,k4_numbers),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),B))) ) ) ) )).
fof(dt_m2_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m2_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_2(B,A) => ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(dt_m2_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bciideal(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m2_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m2_bhsp_5(B,A) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m2_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) => ! [B] : ( m2_c0sp1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l1_funcsdom(B) ) ) ) )).
fof(dt_m2_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_card_fil(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(dt_m2_cat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) ) ) )).
fof(dt_m2_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_cat_2(C,A,B) ) => ! [D] : ( m2_cat_2(D,A,B,C) => m2_cat_1(D,A,B) ) ) )).
fof(dt_m2_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [D] : ( m2_cat_3(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,C,u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u4_struct_0(A)))) ) ) ) )).
fof(dt_m2_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ! [F] : ( m2_cat_7(F,A,B,C,D,E) => v2_xtuple_0(F) ) ) )).
fof(dt_m2_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m2_chain_1(B,A) => m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) ) ) )).
fof(dt_m2_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => ! [D] : ( m2_chord(D,A,B,C) => m1_subset_1(D,k1_zfmisc_1(k6_glib_000(A))) ) ) )).
fof(dt_m2_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) ) => ! [C] : ( m2_circcmb3(C,A,B) => ( v4_msafree2(C,B) & l3_msualg_1(C,B) ) ) ) )).
fof(dt_m2_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_msafree2(E) & l1_msualg_1(E) & v4_msualg_1(F,E) & v4_msafree2(F,E) & l3_msualg_1(F,E) ) => ! [G] : ( m2_circtrm1(G,A,B,C,D,E,F) => ( v1_relat_1(G) & v1_funct_1(G) & v2_funct_1(G) ) ) ) )).
fof(dt_m2_clvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_clvect_1(B,A) ) => ! [C] : ( m2_clvect_1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m2_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_conlat_1(B,A) ) => ! [C] : ( m2_conlat_1(C,A,B) => ( ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) ) ) )).
fof(dt_m2_connsp_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_connsp_2(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m2_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_convex4(C,A,B) => m1_convex4(C,A) ) ) )).
fof(dt_m2_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & v3_dtconstr(A) & l1_lang1(A) & m1_subset_1(B,k7_dtconstr(A)) ) => ! [C] : ( m2_dtconstr(C,A,B) => m1_trees_4(C,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) ) ) )).
fof(dt_m2_exchsort,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ! [C] : ( m2_exchsort(C,A,B) => ( v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_exchsort(C) ) ) ) )).
fof(dt_m2_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) ) => ! [C] : ( m2_filter_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) ) ) )).
fof(dt_m2_finseq_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ( v1_funct_1(B) & v1_finseq_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(dt_m2_finseq_2,axiom,( ! [A] : ! [B] : ( m1_finseq_2(B,A) => ! [C] : ( m2_finseq_2(C,A,B) => m2_finseq_1(C,A) ) ) )).
fof(dt_m2_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( m2_fomodel2(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k2_xboole_0(B,k5_margrel1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k2_xboole_0(B,k5_margrel1)))) ) ) ) )).
fof(dt_m2_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_funct_2(C,A,B) ) => ! [D] : ( m2_funct_2(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) )).
fof(dt_m2_funct_7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m2_funct_7(B,A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) )).
fof(dt_m2_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( m2_functor0(C,A,B) => l2_functor0(C,A,B) ) ) )).
fof(dt_m2_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m2_functor2(E,A,B,C,D) => m1_functor2(E,A,B,C,D) ) ) )).
fof(dt_m2_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_fvaluat1(C,A,B) => m1_rmod_2(C,A,k3_vectsp_2(A)) ) ) )).
fof(dt_m2_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m2_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [D] : ( m2_glib_000(D,A,B,C) => m1_glib_000(D,A) ) ) )).
fof(dt_m2_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m2_glib_001(B,A) => m2_finseq_1(B,k7_glib_000(A)) ) ) )).
fof(dt_m2_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m2_glib_004(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) ) ) )).
fof(dt_m2_glib_005,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m2_glib_005(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) ) ) )).
fof(dt_m2_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => ! [C] : ( m2_goedcpuc(C,A,B) => ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,k1_nat_1(B,1)) & v1_finseq_1(C) ) ) ) )).
fof(dt_m2_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_graph_1(B,A) => m2_finseq_1(B,u4_struct_0(A)) ) ) )).
fof(dt_m2_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ! [B] : ( m2_grcat_1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) ) ) )).
fof(dt_m2_hallmar1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m2_hallmar1(C,A,B) => m2_finseq_1(C,k1_zfmisc_1(A)) ) ) )).
fof(dt_m2_huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) ) => ! [C] : ( m2_huffman1(C,A,B) => ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) ) ) )).
fof(dt_m2_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_ideal_1(C,A,B) => m2_finseq_1(C,u1_struct_0(A)) ) ) )).
fof(dt_m2_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_index_1(C) ) => ! [D] : ( m2_index_1(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_funcop_1(D) ) ) ) )).
fof(dt_m2_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( m2_integr15(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) ) ) )).
fof(dt_m2_integr16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( m2_integr16(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k2_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k2_numbers)))) ) ) ) )).
fof(dt_m2_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( m2_integr18(E,A,B,C,D) => ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) ) ) ) )).
fof(dt_m2_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m2_interva1(B,A) => m2_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))),k8_mcart_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)))) ) ) )).
fof(dt_m2_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(D,k1_zfmisc_1(C)) & m1_kolmog01(E,C,A,B) ) => ! [F] : ( m2_kolmog01(F,A,B,C,D,E) => ( v1_funct_1(F) & v1_funct_2(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) ) ) )).
fof(dt_m2_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m2_lattice4(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m2_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m2_lattice5(D,A,B,C) => ( v1_relat_1(D) & v1_funct_1(D) ) ) ) )).
fof(dt_m2_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m2_lexbfs(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) ) ) )).
fof(dt_m2_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_lmod_7(C,A,B) ) => ! [D] : ( m2_lmod_7(D,A,B,C) => ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) ) ) )).
fof(dt_m2_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_ltlaxio4(C,A,B) => ( v2_funct_1(C) & m2_finseq_1(C,A) ) ) ) )).
fof(dt_m2_margrel1,axiom,( ! [A] : ! [B] : ( m2_margrel1(B,A) => ( v3_finseq_1(B) & v2_card_3(B) ) ) )).
fof(dt_m2_measure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_measure1(D,A,B,C) => m2_subset_1(D,k1_zfmisc_1(A),B) ) ) )).
fof(dt_m2_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [B] : ( m2_measure7(B,A) => ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))))) ) ) ) )).
fof(dt_m2_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_measure8(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) ) )).
fof(dt_m2_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_midsp_3(B,A) => ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) ) ) )).
fof(dt_m2_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => ! [C] : ( m2_modcat_1(C,A,B) => ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) ) ) )).
fof(dt_m2_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m2_monoid_0(B,A) => l3_algstr_0(B) ) ) )).
fof(dt_m2_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ! [D] : ( m2_msafree5(D,A,B,C) => ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) ) ) )).
fof(dt_m2_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_msalimit(C,A,B) ) => ! [D] : ( m2_msalimit(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,u1_orders_2(A)) & v1_funct_1(D) & v1_partfun1(D,u1_orders_2(A)) & v1_funcop_1(D) ) ) ) )).
fof(dt_m2_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_msaterm(C,A,B) => m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) )).
fof(dt_m2_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m2_msualg_6(E,A,B,C,D) => ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D)))) ) ) ) )).
fof(dt_m2_nat_lat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) ) ) )).
fof(dt_m2_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => ! [E] : ( m2_nattra_1(E,A,B,C,D) => m1_nattra_1(E,A,B,C,D) ) ) )).
fof(dt_m2_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_orders_1(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) )).
fof(dt_m2_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k6_partfun1(k1_orders_1(u1_struct_0(A)))) ) => ! [C] : ( m2_orders_2(C,A,B) => ( v6_orders_2(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m2_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_osafree(C,A,B) => m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) ) ) )).
fof(dt_m2_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) ) )).
fof(dt_m2_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) ) ) )).
fof(dt_m2_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) & m1_petri_3(C,A,B) ) => ! [D] : ( m2_petri_3(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,k2_petri_3(A)) & v1_funct_1(D) & v1_partfun1(D,k2_petri_3(A)) ) ) ) )).
fof(dt_m2_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ~ v1_xboole_0(B) ) )).
fof(dt_m2_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) ) ) )).
fof(dt_m2_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ! [D] : ( m2_prob_4(D,A,B,C) => m1_prob_1(D,A,k4_prob_4(A,B,C)) ) ) )).
fof(dt_m2_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( m2_prvect_1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(dt_m2_pua2mss1,axiom,( ! [A] : ! [B] : ( m2_pua2mss1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) )).
fof(dt_m2_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_qc_lang1(B,A) => v1_relat_1(B) ) ) )).
fof(dt_m2_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_qc_lang4(C,A,B) ) => ! [D] : ( m2_qc_lang4(D,A,B,C) => m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) ) ) )).
fof(dt_m2_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) & m1_rcomp_3(D,A,B,C) ) => ! [E] : ( m2_rcomp_3(E,A,B,C,D) => m2_finseq_1(E,k1_numbers) ) ) )).
fof(dt_m2_realset1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m2_realset1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) ) ) )).
fof(dt_m2_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( m2_rewrite1(B,A) => ( v1_relat_1(B) & v10_rewrite1(B) ) ) ) )).
fof(dt_m2_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & m1_rfunct_3(C,A,B) ) => ! [D] : ( m2_rfunct_3(D,A,B,C) => ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) )).
fof(dt_m2_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( m2_ringcat1(B,A) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) ) ) )).
fof(dt_m2_rlaffin3,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_rlaffin3(C,A,B) => ( v2_funct_1(C) & m2_finseq_1(C,u1_struct_0(A)) ) ) ) )).
fof(dt_m2_rlsub_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ! [C] : ( m2_rlsub_1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m2_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_rlvect_2(C,A,B) => m1_rlvect_2(C,A) ) ) )).
fof(dt_m2_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) ) => ! [D] : ( m2_rmod_2(D,A,B,C) => m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_m2_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m2_rmod_4(D,A,B,C) => m1_rmod_4(D,A,B) ) ) )).
fof(dt_m2_rusub_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ! [C] : ( m2_rusub_1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m2_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ! [C] : ( m2_simplex0(C,A,B) => ( v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,A) ) ) ) )).
fof(dt_m2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_subset_1(C,A,B) => m1_subset_1(C,A) ) ) )).
fof(dt_m2_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_taxonom1(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) ) ) )).
fof(dt_m2_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_topgrp_1(B,A) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(dt_m2_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m2_trees_1(B,A) => m1_trees_1(B,A) ) ) )).
fof(dt_m2_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m2_trees_2(B,A) => m1_subset_1(B,k1_zfmisc_1(A)) ) ) )).
fof(dt_m2_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_trees_3(C,A,B) => m1_trees_1(C,A) ) ) )).
fof(dt_m2_unialg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_unialg_3(B,A) ) => ! [C] : ( m2_unialg_3(C,A,B) => m1_unialg_2(C,A) ) ) )).
fof(dt_m2_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m2_urysohn3(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A)))))) ) ) ) )).
fof(dt_m2_valued_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [C] : ( m2_valued_0(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) ) )).
fof(dt_m2_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m2_vectsp11(E,A,B,C,D) => m1_subset_1(E,u1_struct_0(B)) ) ) )).
fof(dt_m2_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ! [D] : ( m2_vectsp_4(D,A,B,C) => m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_m2_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m2_vectsp_6(D,A,B,C) => m1_vectsp_6(D,A,B) ) ) )).
fof(dt_m2_vectsp_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v1_xboole_0(C) & m1_vectsp_8(C,A,B) ) => ! [D] : ( m2_vectsp_8(D,A,B,C) => m1_vectsp_4(D,A,B) ) ) )).
fof(dt_m2_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & ~ v2_struct_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( m2_waybel21(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) ) ) )).
fof(dt_m2_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( m2_xxreal_2(B,A) => v1_xxreal_0(B) ) ) )).
fof(dt_m2_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_yellow13(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_m2_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m2_yellow_6(C,A,B) => ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) ) ) )).
fof(dt_m2_yellow_9,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_yellow_9(B,A) => ( v2_pre_topc(B) & l1_pre_topc(B) ) ) ) )).
fof(dt_m2_zmodul01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ! [C] : ( m2_zmodul01(C,A,B) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_m2_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_zmodul02(C,A,B) => m1_zmodul02(C,A) ) ) )).
fof(dt_m3_aofa_a00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_aofa_a00(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) )).
fof(dt_m3_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m3_aofa_i00(E,A,B,C,D) => ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(B,k4_numbers),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k4_numbers),k4_numbers))) ) ) ) )).
fof(dt_m3_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m3_bcialg_2(B,A) => ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(dt_m3_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m3_bciideal(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m3_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) ) ) )).
fof(dt_m3_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) ) => ! [D] : ( m3_chain_1(D,A,B,C) => m1_subset_1(D,k1_zfmisc_1(k4_chain_1(A,B,C))) ) ) )).
fof(dt_m3_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_chord(B,A) => m2_finseq_1(B,k6_glib_000(A)) ) ) )).
fof(dt_m3_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => ! [C] : ( m3_conlat_1(C,A,B) => ( ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) ) ) )).
fof(dt_m3_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) ) => ! [C] : ( m3_dist_2(C,A,B) => m1_subset_1(C,A) ) ) )).
fof(dt_m3_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ! [C] : ( m3_fomodel2(C,A,B) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(dt_m3_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => m2_finseq_1(B,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) ) ) )).
fof(dt_m3_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_004(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) ) ) )).
fof(dt_m3_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_005(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) ) ) )).
fof(dt_m3_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m3_goedcpuc(C,A,B) => ( v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(dt_m3_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m3_graph_1(B,A) => ( ~ v2_struct_0(B) & l1_graph_1(B) ) ) ) )).
fof(dt_m3_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_grcat_1(A) ) => ! [B] : ( m3_grcat_1(B,A) => ( v2_grcat_1(B) & l1_grcat_1(B) ) ) ) )).
fof(dt_m3_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) ) => ! [D] : ( m3_hallmar1(D,A,B,C) => m2_hallmar1(D,A,B) ) ) )).
fof(dt_m3_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m3_ideal_1(C,A,B) => m2_finseq_1(C,u1_struct_0(A)) ) ) )).
fof(dt_m3_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ( m3_index_1(E,A,B,C,D) => ( v2_index_1(E,A,B) & m1_index_1(E,A,B) ) ) ) )).
fof(dt_m3_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & m1_integra1(D,B) ) => ! [E] : ( m3_integr15(E,A,B,C,D) => m2_finseq_1(E,k1_euclid(A)) ) ) )).
fof(dt_m3_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_lexbfs(B,A) => ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) ) ) )).
fof(dt_m3_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m3_ltlaxio4(B,A) => ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & v1_funct_1(B) & v3_trees_2(B) & v3_trees_9(B) ) ) ) )).
fof(dt_m3_measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v2_finsub_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m3_measure8(D,A,B,C) => m2_measure8(D,A,C) ) ) )).
fof(dt_m3_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m3_modcat_1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(dt_m3_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m3_monoid_0(B,A) => l4_algstr_0(B) ) ) )).
fof(dt_m3_msalimit,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_msalimit(A) ) => ! [B] : ( m3_msalimit(B,A) => ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_msualg_1(B) & l1_msualg_1(B) ) ) ) )).
fof(dt_m3_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m3_msaterm(C,A,B) => ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) ) ) )).
fof(dt_m3_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => ! [E] : ( m3_nattra_1(E,A,B,C,D) => m2_nattra_1(E,A,B,C,D) ) ) )).
fof(dt_m3_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) )).
fof(dt_m3_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m3_pnproc_1(C,A,B) => m1_pnproc_1(C,A) ) ) )).
fof(dt_m3_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m3_pua2mss1(B,A) => m1_eqrel_1(B,u1_struct_0(A)) ) ) )).
fof(dt_m3_realset1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m3_realset1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) ) ) )).
fof(dt_m3_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v5_ringcat1(A) ) => ! [B] : ( m3_ringcat1(B,A) => ( v3_ringcat1(B) & l1_ringcat1(B) ) ) ) )).
fof(dt_m3_robbins3,axiom,( ! [A] : ( l4_robbins1(A) => ! [B] : ( m3_robbins3(B,A) => l4_robbins3(B) ) ) )).
fof(dt_m3_simplex0,axiom,( ! [A] : ! [B] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) & v1_xreal_0(B) ) => ! [C] : ( m3_simplex0(C,A,B) => ( v1_finset_1(C) & v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m3_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m3_topgrp_1(B,A) => m1_topgrp_1(B,A,A) ) ) )).
fof(dt_m3_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m3_trees_3(B,A) => m2_trees_3(B,A,k3_trees_1(A)) ) ) )).
fof(dt_m3_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m3_vectsp_8(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(dt_m3_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ! [C] : ( m3_yellow_6(C,A,B) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) )).
fof(dt_m3_yellow_9,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ! [C] : ( m3_yellow_9(C,A,B) => ( v2_pre_topc(C) & l1_pre_topc(C) ) ) ) )).
fof(dt_m3_zmodul01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => m1_zmodul01(C,A) ) ) )).
fof(dt_m4_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m4_abcmiz_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))))) ) ) ) )).
fof(dt_m4_algspec1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m4_algspec1(B,A) => m3_algspec1(B) ) ) )).
fof(dt_m4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) ) => ! [F] : ( m4_aofa_a00(F,A,B,C,D,E) => m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),E)) ) ) )).
fof(dt_m4_aofa_i00,axiom,( ! [A] : ( m4_aofa_i00(A) => m1_aofa_000(A,k7_freealg(k19_aofa_000,k26_aofa_i00),k9_funct_2(k4_ordinal1,k4_numbers),k1_aofa_i00(k9_funct_2(k4_ordinal1,k4_numbers),k5_numbers,k5_numbers)) ) )).
fof(dt_m4_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) ) => ! [C] : ( m4_bcialg_2(C,A,B) => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_m4_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m4_bciideal(B,A) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(dt_m4_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) ) => ! [C] : ( m4_dist_2(C,A,B) => ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) ) ) )).
fof(dt_m4_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ! [C] : ( m4_glib_001(C,A,B) => m3_glib_001(C,A) ) ) )).
fof(dt_m4_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( m4_grcat_1(C,A,B) => ( ~ v1_xboole_0(C) & v4_grcat_1(C) ) ) ) )).
fof(dt_m4_hallmar1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m4_hallmar1(C,A,B) => m2_hallmar1(C,A,B) ) ) )).
fof(dt_m4_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m3_index_1(E,A,B,C,D) ) => ! [F] : ( m4_index_1(F,A,B,C,D,E) => ( ~ v2_struct_0(F) & ~ v11_struct_0(F) & v2_cat_1(F) & v3_cat_1(F) & v4_cat_1(F) & v5_cat_1(F) & v6_cat_1(F) & v3_cat_5(F) & l1_cat_1(F) ) ) ) )).
fof(dt_m4_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( m4_integr15(E,A,B,C,D) => ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_euclid(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_euclid(A))))) ) ) ) )).
fof(dt_m4_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ! [C] : ( m4_ltlaxio4(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_xtuple_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_xtuple_0(B)))) ) ) ) )).
fof(dt_m4_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m4_margrel1(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(dt_m4_measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( m4_measure8(D,A,B,C) => ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))))) ) ) ) )).
fof(dt_m4_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m3_modcat_1(B,A) ) => ! [C] : ( m4_modcat_1(C,A,B) => ( v3_mod_2(C,A) & l1_mod_2(C,A) ) ) ) )).
fof(dt_m4_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ! [C] : ( m4_msaterm(C,A,B) => ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) ) ) )).
fof(dt_m4_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m4_nattra_1(C,A,B) => ~ v1_xboole_0(C) ) ) )).
fof(dt_m4_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m4_pua2mss1(B,A) => m2_pua2mss1(B,u1_struct_0(A)) ) ) )).
fof(dt_m4_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m4_ringcat1(C,A,B) => ( ~ v1_xboole_0(C) & v5_ringcat1(C) ) ) ) )).
fof(dt_m4_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) & v1_xreal_0(B) & m3_simplex0(C,A,B) ) => ! [D] : ( m4_simplex0(D,A,B,C) => m3_simplex0(D,A,k4_xxreal_0(k3_xxreal_3(B,1),k9_simplex0(1))) ) ) )).
fof(dt_m4_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m4_trees_1(B,A) => v2_trees_1(B) ) ) )).
fof(dt_m4_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m4_trees_3(B,A) => ( ~ v1_xboole_0(B) & v1_trees_1(B) ) ) ) )).
fof(dt_m4_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( m4_vectsp_8(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(dt_m5_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) ) => ! [C] : ( m5_bcialg_2(C,A,B) => m1_bcialg_2(C,A) ) ) )).
fof(dt_m5_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [G] : ( m5_index_1(G,A,B,C,D,E,F) => m3_index_1(G,A,B,C,D) ) ) )).
fof(dt_m5_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m4_margrel1(B,A) ) => ! [C] : ( m5_margrel1(C,A,B) => ( v1_funct_1(C) & ~ v1_xboole_0(C) & v2_margrel1(C) & v3_margrel1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) ) ) )).
fof(dt_m5_modcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m5_modcat_1(D,A,B,C) => m3_modcat_1(D,A) ) ) )).
fof(dt_m5_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m2_monoid_0(B,A) ) => ! [C] : ( m5_monoid_0(C,A,B) => m2_monoid_0(C,A) ) ) )).
fof(dt_m6_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) & v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,k1_card_1(A)) & v2_funct_2(C,k1_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) => ! [D] : ( m6_aofa_i00(D,A,B,C) => m1_aofa_000(D,k7_freealg(k19_aofa_000,k26_aofa_i00),k9_funct_2(A,k4_numbers),B) ) ) )).
fof(dt_m6_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m3_monoid_0(B,A) ) => ! [C] : ( m6_monoid_0(C,A,B) => m2_monoid_0(C,A) ) ) )).
fof(dt_m7_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m3_monoid_0(B,A) ) => ! [C] : ( m7_monoid_0(C,A,B) => m3_monoid_0(C,A) ) ) )).
fof(dt_m9_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m9_lmod_7(D,A,B,C) => m1_subset_1(D,u1_struct_0(B)) ) ) )).
fof(dt_o_0_0_afvect01,axiom,( ~ v7_struct_0(o_0_0_afvect01) & v1_afvect0(o_0_0_afvect01) & l1_analoaf(o_0_0_afvect01) )).
fof(dt_o_0_0_ami_6,axiom,( v1_ami_2(o_0_0_ami_6) & m1_subset_1(o_0_0_ami_6,u1_struct_0(k1_ami_3)) )).
fof(dt_o_0_0_aofa_i00,axiom,( v1_funct_1(o_0_0_aofa_i00) & v1_funct_2(o_0_0_aofa_i00,k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers) & m1_subset_1(o_0_0_aofa_i00,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers))) )).
fof(dt_o_0_0_cc0sp2,axiom,( m1_subset_1(o_0_0_cc0sp2,k4_ordinal1) )).
fof(dt_o_0_0_descip_1,axiom,( v1_funct_1(o_0_0_descip_1) & v1_funct_2(o_0_0_descip_1,k5_card_1(64),k2_finseq_1(64)) & v1_descip_1(o_0_0_descip_1,64) & m1_subset_1(o_0_0_descip_1,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(64),k2_finseq_1(64)))) )).
fof(dt_o_0_0_fdiff_1,axiom,( m1_subset_1(o_0_0_fdiff_1,k1_numbers) )).
fof(dt_o_0_0_fomodel2,axiom,( ~ v1_xboole_0(o_0_0_fomodel2) )).
fof(dt_o_0_0_funct_5,axiom,( m1_subset_1(o_0_0_funct_5,k9_xtuple_0(k2_funct_5(k1_xboole_0))) )).
fof(dt_o_0_0_goboard9,axiom,( m1_subset_1(o_0_0_goboard9,u1_struct_0(k15_euclid(2))) )).
fof(dt_o_0_0_henmodel,axiom,( ~ v1_xboole_0(o_0_0_henmodel) )).
fof(dt_o_0_0_matrix11,axiom,( ~ v2_struct_0(o_0_0_matrix11) & ~ v6_struct_0(o_0_0_matrix11) & v13_algstr_0(o_0_0_matrix11) & v33_algstr_0(o_0_0_matrix11) & v3_group_1(o_0_0_matrix11) & v5_group_1(o_0_0_matrix11) & v4_vectsp_1(o_0_0_matrix11) & v5_vectsp_1(o_0_0_matrix11) & v12_vectsp_1(o_0_0_matrix11) & v2_rlvect_1(o_0_0_matrix11) & v3_rlvect_1(o_0_0_matrix11) & v4_rlvect_1(o_0_0_matrix11) & l6_algstr_0(o_0_0_matrix11) )).
fof(dt_o_0_0_moebius1,axiom,( v7_ordinal1(o_0_0_moebius1) & v1_int_2(o_0_0_moebius1) )).
fof(dt_o_0_0_ndiff_3,axiom,( m1_subset_1(o_0_0_ndiff_3,k1_numbers) )).
fof(dt_o_0_0_ordeq_01,axiom,( m1_subset_1(o_0_0_ordeq_01,k4_ordinal1) )).
fof(dt_o_0_0_ordeq_02,axiom,( m1_subset_1(o_0_0_ordeq_02,k4_ordinal1) )).
fof(dt_o_0_0_pardepap,axiom,( ~ v7_struct_0(o_0_0_pardepap) & v1_diraf(o_0_0_pardepap) & v2_diraf(o_0_0_pardepap) & v2_aff_2(o_0_0_pardepap) & v4_aff_2(o_0_0_pardepap) & v11_aff_2(o_0_0_pardepap) & v1_translac(o_0_0_pardepap) & l1_analoaf(o_0_0_pardepap) )).
fof(dt_o_0_0_pdiff_2,axiom,( m1_subset_1(o_0_0_pdiff_2,k1_numbers) )).
fof(dt_o_0_0_pdiff_4,axiom,( m1_subset_1(o_0_0_pdiff_4,k1_numbers) )).
fof(dt_o_0_0_random_3,axiom,( m1_subset_1(o_0_0_random_3,k1_numbers) )).
fof(dt_o_0_0_scmfsa10,axiom,( v1_ami_2(o_0_0_scmfsa10) & m1_subset_1(o_0_0_scmfsa10,u1_struct_0(k1_scmfsa_2)) )).
fof(dt_o_0_0_scmpds_5,axiom,( v1_relat_1(o_0_0_scmpds_5) & v4_relat_1(o_0_0_scmpds_5,k4_ordinal1) & v5_relat_1(o_0_0_scmpds_5,u1_compos_1(k1_scmpds_2)) & v1_funct_1(o_0_0_scmpds_5) & v1_partfun1(o_0_0_scmpds_5,k4_ordinal1) )).
fof(dt_o_0_0_topalg_5,axiom,( v1_xreal_0(o_0_0_topalg_5) & v2_xxreal_0(o_0_0_topalg_5) )).
fof(dt_o_0_0_waybel22,axiom,( ~ v2_struct_0(o_0_0_waybel22) & v3_orders_2(o_0_0_waybel22) & v4_orders_2(o_0_0_waybel22) & v5_orders_2(o_0_0_waybel22) & v3_lattice3(o_0_0_waybel22) & v3_waybel_3(o_0_0_waybel22) & l1_orders_2(o_0_0_waybel22) )).
fof(dt_o_0_0_waybel26,axiom,( v1_waybel_9(o_0_0_waybel26) & v4_waybel11(o_0_0_waybel26) & m1_yellow_9(o_0_0_waybel26,k2_yellow_1(k1_tarski(k5_numbers))) )).
fof(dt_o_0_0_xboole_0,axiom,( v1_xboole_0(o_0_0_xboole_0) )).
fof(dt_o_0_0_yellow21,axiom,( l1_struct_0(o_0_0_yellow21) )).
fof(dt_o_0_0_zmodul04,axiom,( v7_ordinal1(o_0_0_zmodul04) & v1_int_2(o_0_0_zmodul04) )).
fof(dt_o_0_10_cat_6,axiom,( v2_struct_0(o_0_10_cat_6) & l1_cat_6(o_0_10_cat_6) )).
fof(dt_o_0_10_lfuzzy_0,axiom,( v2_struct_0(o_0_10_lfuzzy_0) & v1_orders_2(o_0_10_lfuzzy_0) & l1_orders_2(o_0_10_lfuzzy_0) )).
fof(dt_o_0_13_topreal1,axiom,( m1_subset_1(o_0_13_topreal1,k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1)))) )).
fof(dt_o_0_14_cat_6,axiom,( ~ v2_struct_0(o_0_14_cat_6) & v8_cat_6(o_0_14_cat_6) & v9_cat_6(o_0_14_cat_6) & v10_cat_6(o_0_14_cat_6) & l1_cat_6(o_0_14_cat_6) )).
fof(dt_o_0_14_topreal1,axiom,( m1_subset_1(o_0_14_topreal1,k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1)))) )).
fof(dt_o_0_15_cat_6,axiom,( m1_subset_1(o_0_15_cat_6,k6_cat_6(o_0_14_cat_6)) )).
fof(dt_o_0_16_cat_6,axiom,( v2_struct_0(o_0_16_cat_6) & v8_cat_6(o_0_16_cat_6) & v9_cat_6(o_0_16_cat_6) & v10_cat_6(o_0_16_cat_6) & l1_cat_6(o_0_16_cat_6) )).
fof(dt_o_0_17_cat_6,axiom,( v1_funct_1(o_0_17_cat_6) & v1_funct_2(o_0_17_cat_6,u1_struct_0(o_0_14_cat_6),u1_struct_0(o_0_16_cat_6)) & v13_cat_6(o_0_17_cat_6,o_0_14_cat_6,o_0_16_cat_6) & m1_subset_1(o_0_17_cat_6,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_0_14_cat_6),u1_struct_0(o_0_16_cat_6)))) )).
fof(dt_o_0_1_ami_3,axiom,( v1_relat_1(o_0_1_ami_3) & v4_relat_1(o_0_1_ami_3,u1_struct_0(k1_ami_3)) & v1_funct_1(o_0_1_ami_3) & v5_funct_1(o_0_1_ami_3,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(o_0_1_ami_3,u1_struct_0(k1_ami_3)) )).
fof(dt_o_0_1_ami_6,axiom,( m1_subset_1(o_0_1_ami_6,k4_ordinal1) )).
fof(dt_o_0_1_aofa_i00,axiom,( v1_funct_1(o_0_1_aofa_i00) & v1_funct_2(o_0_1_aofa_i00,k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1) & m1_subset_1(o_0_1_aofa_i00,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1))) )).
fof(dt_o_0_1_cat_7,axiom,( v2_struct_0(o_0_1_cat_7) & v1_cat_6(o_0_1_cat_7) & v8_cat_6(o_0_1_cat_7) & v9_cat_6(o_0_1_cat_7) & v10_cat_6(o_0_1_cat_7) & l1_cat_6(o_0_1_cat_7) )).
fof(dt_o_0_1_groeb_1,axiom,( m1_subset_1(o_0_1_groeb_1,a_0_0_groeb_1) )).
fof(dt_o_0_1_scmfsa10,axiom,( v7_ordinal1(o_0_1_scmfsa10) )).
fof(dt_o_0_1_scmpds_9,axiom,( v1_relat_1(o_0_1_scmpds_9) & v4_relat_1(o_0_1_scmpds_9,u1_struct_0(k1_scmpds_2)) & v1_funct_1(o_0_1_scmpds_9) & v5_funct_1(o_0_1_scmpds_9,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(o_0_1_scmpds_9,u1_struct_0(k1_scmpds_2)) )).
fof(dt_o_0_1_simplex2,axiom,( v1_xreal_0(o_0_1_simplex2) )).
fof(dt_o_0_1_topalg_5,axiom,( m1_subset_1(o_0_1_topalg_5,u1_struct_0(k15_euclid(2))) )).
fof(dt_o_0_1_trees_1,axiom,( m1_subset_1(o_0_1_trees_1,k1_trees_1(k1_xboole_0)) )).
fof(dt_o_0_1_waybel27,axiom,( v1_waybel_9(o_0_1_waybel27) & v4_waybel11(o_0_1_waybel27) & m1_yellow_9(o_0_1_waybel27,k2_yellow_1(k1_tarski(k5_numbers))) )).
fof(dt_o_0_1_zmodul03,axiom,( v7_ordinal1(o_0_1_zmodul03) & v1_int_2(o_0_1_zmodul03) )).
fof(dt_o_0_2_ami_3,axiom,( m1_subset_1(o_0_2_ami_3,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) )).
fof(dt_o_0_2_ami_6,axiom,( v1_relat_1(o_0_2_ami_6) & v4_relat_1(o_0_2_ami_6,u1_struct_0(k1_ami_3)) & v1_funct_1(o_0_2_ami_6) & v5_funct_1(o_0_2_ami_6,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(o_0_2_ami_6,u1_struct_0(k1_ami_3)) )).
fof(dt_o_0_2_scm_comp,axiom,( m1_dtconstr(o_0_2_scm_comp,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) )).
fof(dt_o_0_2_scmfsa10,axiom,( m1_scmfsa_2(o_0_2_scmfsa10) )).
fof(dt_o_0_2_topalg_5,axiom,( m1_subset_1(o_0_2_topalg_5,u1_struct_0(k7_toprealb(2,o_0_1_topalg_5,o_0_0_topalg_5))) )).
fof(dt_o_0_3_ami_6,axiom,( v1_relat_1(o_0_3_ami_6) & v4_relat_1(o_0_3_ami_6,k4_ordinal1) & v5_relat_1(o_0_3_ami_6,u1_compos_1(k1_ami_3)) & v1_funct_1(o_0_3_ami_6) & v1_partfun1(o_0_3_ami_6,k4_ordinal1) )).
fof(dt_o_0_3_fomodel1,axiom,( ~ v6_struct_0(o_0_3_fomodel1) & ~ v8_struct_0(o_0_3_fomodel1) & l4_struct_0(o_0_3_fomodel1) )).
fof(dt_o_0_3_geomtrap,axiom,( ~ v2_struct_0(o_0_3_geomtrap) & v2_geomtrap(o_0_3_geomtrap) & l1_geomtrap(o_0_3_geomtrap) )).
fof(dt_o_0_3_scm_inst,axiom,( m1_subset_1(o_0_3_scm_inst,k2_scm_inst) )).
fof(dt_o_0_3_scmfsa10,axiom,( v1_relat_1(o_0_3_scmfsa10) & v4_relat_1(o_0_3_scmfsa10,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(o_0_3_scmfsa10) & v5_funct_1(o_0_3_scmfsa10,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(o_0_3_scmfsa10,u1_struct_0(k1_scmfsa_2)) )).
fof(dt_o_0_3_scmfsa_i,axiom,( m1_subset_1(o_0_3_scmfsa_i,k2_scm_inst) )).
fof(dt_o_0_3_scmring3,axiom,( m1_subset_1(o_0_3_scmring3,k4_ordinal1) )).
fof(dt_o_0_3_trees_1,axiom,( m1_subset_1(o_0_3_trees_1,a_0_2_trees_1) )).
fof(dt_o_0_4_scmfsa10,axiom,( v1_relat_1(o_0_4_scmfsa10) & v4_relat_1(o_0_4_scmfsa10,k4_ordinal1) & v5_relat_1(o_0_4_scmfsa10,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(o_0_4_scmfsa10) & v1_partfun1(o_0_4_scmfsa10,k4_ordinal1) )).
fof(dt_o_0_4_scmfsa_i,axiom,( m1_subset_1(o_0_4_scmfsa_i,k1_scmfsa_i) )).
fof(dt_o_0_5_bhsp_1,axiom,( ~ v2_struct_0(o_0_5_bhsp_1) & v13_algstr_0(o_0_5_bhsp_1) & v2_rlvect_1(o_0_5_bhsp_1) & v3_rlvect_1(o_0_5_bhsp_1) & v4_rlvect_1(o_0_5_bhsp_1) & v5_rlvect_1(o_0_5_bhsp_1) & v6_rlvect_1(o_0_5_bhsp_1) & v7_rlvect_1(o_0_5_bhsp_1) & v8_rlvect_1(o_0_5_bhsp_1) & l1_rlvect_1(o_0_5_bhsp_1) )).
fof(dt_o_0_5_clvect_1,axiom,( ~ v2_struct_0(o_0_5_clvect_1) & v13_algstr_0(o_0_5_clvect_1) & v2_rlvect_1(o_0_5_clvect_1) & v3_rlvect_1(o_0_5_clvect_1) & v4_rlvect_1(o_0_5_clvect_1) & v2_clvect_1(o_0_5_clvect_1) & v3_clvect_1(o_0_5_clvect_1) & v4_clvect_1(o_0_5_clvect_1) & v5_clvect_1(o_0_5_clvect_1) & l1_clvect_1(o_0_5_clvect_1) )).
fof(dt_o_0_5_csspace,axiom,( ~ v2_struct_0(o_0_5_csspace) & v13_algstr_0(o_0_5_csspace) & v2_rlvect_1(o_0_5_csspace) & v3_rlvect_1(o_0_5_csspace) & v4_rlvect_1(o_0_5_csspace) & v2_clvect_1(o_0_5_csspace) & v3_clvect_1(o_0_5_csspace) & v4_clvect_1(o_0_5_csspace) & v5_clvect_1(o_0_5_csspace) & l1_clvect_1(o_0_5_csspace) )).
fof(dt_o_0_5_normsp_1,axiom,( ~ v2_struct_0(o_0_5_normsp_1) & v13_algstr_0(o_0_5_normsp_1) & v2_rlvect_1(o_0_5_normsp_1) & v3_rlvect_1(o_0_5_normsp_1) & v4_rlvect_1(o_0_5_normsp_1) & v5_rlvect_1(o_0_5_normsp_1) & v6_rlvect_1(o_0_5_normsp_1) & v7_rlvect_1(o_0_5_normsp_1) & v8_rlvect_1(o_0_5_normsp_1) & l1_rlvect_1(o_0_5_normsp_1) )).
fof(dt_o_0_6_abcmiz_1,axiom,( v1_finset_1(o_0_6_abcmiz_1) & m1_subset_1(o_0_6_abcmiz_1,k1_zfmisc_1(k2_abcmiz_1)) )).
fof(dt_o_0_6_scmpds_2,axiom,( m1_subset_1(o_0_6_scmpds_2,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) )).
fof(dt_o_0_7_scmpds_2,axiom,( v1_relat_1(o_0_7_scmpds_2) & v4_relat_1(o_0_7_scmpds_2,u1_struct_0(k1_scmpds_2)) & v1_funct_1(o_0_7_scmpds_2) & v5_funct_1(o_0_7_scmpds_2,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(o_0_7_scmpds_2,u1_struct_0(k1_scmpds_2)) )).
fof(dt_o_0_8_trees_3,axiom,( m3_trees_3(o_0_8_trees_3,k2_trees_1(k5_numbers)) )).
fof(dt_o_1_0_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_tdgroup(A) & l1_analoaf(A) ) => m1_subset_1(o_1_0_afvect0(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_algspec1(o_1_0_algspec1(A),A) ) )).
fof(dt_o_1_0_ali2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => m1_subset_1(o_1_0_ali2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_altcat_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_altcat_3(A),A) ) )).
fof(dt_o_1_0_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_relat_1(o_1_0_amistd_1(A)) & v4_relat_1(o_1_0_amistd_1(A),u1_struct_0(k4_amistd_1(A))) & v1_funct_1(o_1_0_amistd_1(A)) & v5_funct_1(o_1_0_amistd_1(A),k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(o_1_0_amistd_1(A),u1_struct_0(k4_amistd_1(A))) ) ) )).
fof(dt_o_1_0_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_subset_1(o_1_0_analort(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_aofa_i00(A),A) ) )).
fof(dt_o_1_0_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_borsuk_3(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_borsuk_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => m1_subset_1(o_1_0_borsuk_4(A),A) ) )).
fof(dt_o_1_0_bvfunc_2,axiom,( ! [A] : m1_subset_1(o_1_0_bvfunc_2(A),A) )).
fof(dt_o_1_0_calcul_2,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(o_1_0_calcul_2(A),k2_calcul_2(A,k5_numbers)) ) )).
fof(dt_o_1_0_card_2,axiom,( ! [A] : ( v1_finset_1(A) => m1_subset_1(o_1_0_card_2(A),A) ) )).
fof(dt_o_1_0_cat_4,axiom,( ! [A] : ( v1_finset_1(A) => m1_subset_1(o_1_0_cat_4(A),A) ) )).
fof(dt_o_1_0_cat_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_cat_5(A),A) ) )).
fof(dt_o_1_0_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_cfuncdom(A),A) ) )).
fof(dt_o_1_0_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => m2_subset_1(o_1_0_chain_1(A),k4_ordinal1,k2_finseq_1(A)) ) )).
fof(dt_o_1_0_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) ) => m1_subset_1(o_1_0_chord(A),k6_glib_000(A)) ) )).
fof(dt_o_1_0_classes2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => m1_subset_1(o_1_0_classes2(A),A) ) )).
fof(dt_o_1_0_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => m1_subset_1(o_1_0_clvect_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_collsp,axiom,( ! [A] : m1_subset_1(o_1_0_collsp(A),A) )).
fof(dt_o_1_0_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_connsp_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_dickson,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(o_1_0_dickson(A),A) ) )).
fof(dt_o_1_0_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => m1_subset_1(o_1_0_dirort(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_dynkin(A),A) ) )).
fof(dt_o_1_0_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_0_exchsort(A),k2_ordinal1(k9_xtuple_0(A))) ) )).
fof(dt_o_1_0_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_rcomp_1(o_1_0_fdiff_1(A),A) ) )).
fof(dt_o_1_0_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(o_1_0_finseq_3(A),k8_subset_1(k4_ordinal1,k2_finseq_1(A),k1_tarski(k1_nat_1(A,1)))) ) )).
fof(dt_o_1_0_finseqop,axiom,( ! [A] : m1_subset_1(o_1_0_finseqop(A),A) )).
fof(dt_o_1_0_finsub_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => m1_subset_1(o_1_0_finsub_1(A),A) ) )).
fof(dt_o_1_0_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_fintopo6(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_frechet2(A),k1_frechet2(A,k1_struct_0(A))) ) )).
fof(dt_o_1_0_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_0_funcop_1(A),k9_xtuple_0(A)) ) )).
fof(dt_o_1_0_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_funcsdom(A),A) ) )).
fof(dt_o_1_0_funct_2,axiom,( ! [A] : m1_subset_1(o_1_0_funct_2(A),A) )).
fof(dt_o_1_0_funct_3,axiom,( ! [A] : m1_subset_1(o_1_0_funct_3(A),A) )).
fof(dt_o_1_0_funct_4,axiom,( ! [A] : m1_subset_1(o_1_0_funct_4(A),A) )).
fof(dt_o_1_0_funct_5,axiom,( ! [A] : m1_subset_1(o_1_0_funct_5(A),A) )).
fof(dt_o_1_0_funct_6,axiom,( ! [A] : m1_subset_1(o_1_0_funct_6(A),A) )).
fof(dt_o_1_0_fuznum_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => m2_subset_1(o_1_0_fuznum_1(A),k1_numbers,A) ) )).
fof(dt_o_1_0_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(o_1_0_glib_001(A),k6_glib_000(A)) ) )).
fof(dt_o_1_0_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => m1_subset_1(o_1_0_glib_004(A),k6_glib_000(A)) ) )).
fof(dt_o_1_0_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => m2_subset_1(o_1_0_goedelcp(A),k2_qc_lang1(A),k3_qc_lang1(A)) ) )).
fof(dt_o_1_0_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(o_1_0_graph_3(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(o_1_0_graph_4(A),k1_graph_4(A,k1_xboole_0)) ) )).
fof(dt_o_1_0_groeb_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_groeb_1(A),A) ) )).
fof(dt_o_1_0_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(o_1_0_groeb_3(A),k15_pre_poly(A)) & v1_relat_2(o_1_0_groeb_3(A)) & v4_relat_2(o_1_0_groeb_3(A)) & v6_relat_2(o_1_0_groeb_3(A)) & v8_relat_2(o_1_0_groeb_3(A)) & m1_subset_1(o_1_0_groeb_3(A),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_o_1_0_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => m1_subset_1(o_1_0_group_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => m1_subset_1(o_1_0_group_7(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_hahnban,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => m2_subset_1(o_1_0_hahnban(A),k6_numbers,A) ) )).
fof(dt_o_1_0_helly,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(o_1_0_helly(A),A) ) )).
fof(dt_o_1_0_hilbert3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_hilbert3(A),A) ) )).
fof(dt_o_1_0_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ( v4_msualg_1(o_1_0_instalg1(A),A) & l3_msualg_1(o_1_0_instalg1(A),A) ) ) )).
fof(dt_o_1_0_int_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & v1_int_3(A) & l6_algstr_0(A) ) => m1_int_3(o_1_0_int_3(A),A) ) )).
fof(dt_o_1_0_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => m1_int_6(o_1_0_int_6(A),A) ) )).
fof(dt_o_1_0_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => m1_subset_1(o_1_0_int_7(A),u1_struct_0(k3_int_7(A))) ) )).
fof(dt_o_1_0_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => m1_subset_1(o_1_0_integra4(A),k1_integra1(A)) ) )).
fof(dt_o_1_0_kolmog01,axiom,( ! [A] : m1_subset_1(o_1_0_kolmog01(A),A) )).
fof(dt_o_1_0_lattice4,axiom,( ! [A] : m1_subset_1(o_1_0_lattice4(A),A) )).
fof(dt_o_1_0_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => m1_subset_1(o_1_0_lexbfs(A),k6_glib_000(A)) ) )).
fof(dt_o_1_0_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_lpspacc1(A),A) ) )).
fof(dt_o_1_0_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_lpspace1(A),A) ) )).
fof(dt_o_1_0_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_margrel1(A),k3_margrel1(A)) ) )).
fof(dt_o_1_0_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(o_1_0_matrtop1(A),u1_struct_0(k15_euclid(A))) ) )).
fof(dt_o_1_0_membered,axiom,( ! [A] : ( v3_membered(A) => m1_subset_1(o_1_0_membered(A),A) ) )).
fof(dt_o_1_0_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_metrizts(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => m1_subset_1(o_1_0_midsp_2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => m1_subset_1(o_1_0_modelc_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => m1_subset_1(o_1_0_monoid_0(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_monoid_1(A),A) ) )).
fof(dt_o_1_0_msscyc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ( v4_msualg_1(o_1_0_msscyc_2(A),A) & v4_msafree2(o_1_0_msscyc_2(A),A) & l3_msualg_1(o_1_0_msscyc_2(A),A) ) ) )).
fof(dt_o_1_0_msualg_7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => m2_subset_1(o_1_0_msualg_7(A),k6_numbers,A) ) )).
fof(dt_o_1_0_mycielsk,axiom,( ! [A] : m1_subset_1(o_1_0_mycielsk(A),A) )).
fof(dt_o_1_0_ndiff_3,axiom,( ! [A] : ( v1_xreal_0(A) => m1_rcomp_1(o_1_0_ndiff_3(A),A) ) )).
fof(dt_o_1_0_neckla_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_neckla_3(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => m1_subset_1(o_1_0_normsp_2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_orders_1,axiom,( ! [A] : m1_subset_1(o_1_0_orders_1(A),A) )).
fof(dt_o_1_0_orders_2,axiom,( ! [A] : m1_subset_1(o_1_0_orders_2(A),A) )).
fof(dt_o_1_0_ordinal1,axiom,( ! [A] : m1_subset_1(o_1_0_ordinal1(A),A) )).
fof(dt_o_1_0_ordinal2,axiom,( ! [A] : m1_subset_1(o_1_0_ordinal2(A),A) )).
fof(dt_o_1_0_ordinal3,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => m1_subset_1(o_1_0_ordinal3(A),k9_xtuple_0(A)) ) )).
fof(dt_o_1_0_ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal5(A) ) => m1_subset_1(o_1_0_ordinal5(A),k9_xtuple_0(A)) ) )).
fof(dt_o_1_0_partfun1,axiom,( ! [A] : m1_subset_1(o_1_0_partfun1(A),A) )).
fof(dt_o_1_0_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_partfun2(A),A) ) )).
fof(dt_o_1_0_pboole,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_0_pboole(A),k9_xtuple_0(A)) ) )).
fof(dt_o_1_0_pcomps_1,axiom,( ! [A] : m1_subset_1(o_1_0_pcomps_1(A),A) )).
fof(dt_o_1_0_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => m1_subset_1(o_1_0_petri(A),k6_petri(A,k1_subset_1(u1_struct_0(A)))) ) )).
fof(dt_o_1_0_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => m1_subset_1(o_1_0_polynom5(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_prefer_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => m1_subset_1(o_1_0_prefer_1(A),A) ) )).
fof(dt_o_1_0_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => m1_subset_1(o_1_0_projpl_1(A),u1_incsp_1(A)) ) )).
fof(dt_o_1_0_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(o_1_0_rearran1(A),A) ) )).
fof(dt_o_1_0_rfinseq,axiom,( ! [A] : ( v1_finset_1(A) => m1_subset_1(o_1_0_rfinseq(A),A) ) )).
fof(dt_o_1_0_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => m1_subset_1(o_1_0_rfunct_1(A),k8_relat_1(k4_rfunct_1(A),k1_tarski(k5_numbers))) ) )).
fof(dt_o_1_0_rfunct_3,axiom,( ! [A] : ( v1_finset_1(A) => m1_subset_1(o_1_0_rfunct_3(A),A) ) )).
fof(dt_o_1_0_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_subset_1(o_1_0_rlsub_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_rlvect_3(o_1_0_rlvect_5(A),A) ) )).
fof(dt_o_1_0_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & v7_robbins1(A) & l2_robbins1(A) ) => m1_subset_1(o_1_0_robbins1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => m1_subset_1(o_1_0_robbins2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_rpr_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_rpr_1(A),A) ) )).
fof(dt_o_1_0_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => m1_subset_1(o_1_0_rusub_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => m1_rusub_3(o_1_0_rusub_4(A),A) ) )).
fof(dt_o_1_0_setfam_1,axiom,( ! [A] : m1_subset_1(o_1_0_setfam_1(A),A) )).
fof(dt_o_1_0_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_stacks_1(A) & l1_stacks_1(A) ) => m1_subset_1(o_1_0_stacks_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_supinf_2(A),A) ) )).
fof(dt_o_1_0_taxonom1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => m2_subset_1(o_1_0_taxonom1(A),k1_numbers,A) ) )).
fof(dt_o_1_0_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => m1_subset_1(o_1_0_tbsp_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_toler_1,axiom,( ! [A] : m1_subset_1(o_1_0_toler_1(A),A) )).
fof(dt_o_1_0_topalg_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(k5_numbers,1))))) => m1_rcomp_3(o_1_0_topalg_5(A),k5_numbers,1,A) ) )).
fof(dt_o_1_0_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v5_waybel23(A) & v3_topdim_1(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_topdim_2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_tops_2(o_1_0_topgen_4(A),A) & v1_cantor_1(o_1_0_topgen_4(A),A) & m1_subset_1(o_1_0_topgen_4(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_o_1_0_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => m1_subset_1(o_1_0_translac(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_treal_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => m1_subset_1(o_1_0_treal_1(A),A) ) )).
fof(dt_o_1_0_vectsp_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_orders_1(o_1_0_vectsp_7(A),A,k6_partfun1(A)) ) )).
fof(dt_o_1_0_waybel20,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_waybel20(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_waybel26(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_waybel27,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_0_waybel27(A)) & m1_yellow_9(o_1_0_waybel27(A),A) ) ) )).
fof(dt_o_1_0_waybel34,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_wellord1(o_1_0_waybel34(A)) & v1_partfun1(o_1_0_waybel34(A),A) & v1_relat_2(o_1_0_waybel34(A)) & v4_relat_2(o_1_0_waybel34(A)) & v8_relat_2(o_1_0_waybel34(A)) & v5_yellow21(o_1_0_waybel34(A)) & m1_subset_1(o_1_0_waybel34(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_o_1_0_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_waybel_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( ~ v1_xboole_0(o_1_0_waybel_2(A)) & v1_waybel_0(o_1_0_waybel_2(A),A) & m1_subset_1(o_1_0_waybel_2(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_o_1_0_waybel_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_waybel_5(A),A) ) )).
fof(dt_o_1_0_waybel_6,axiom,( ! [A] : m1_subset_1(o_1_0_waybel_6(A),A) )).
fof(dt_o_1_0_waybel_7,axiom,( ! [A] : m1_subset_1(o_1_0_waybel_7(A),A) )).
fof(dt_o_1_0_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_8(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_waybel_8(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_waybel_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_waybel_9(A),A) ) )).
fof(dt_o_1_0_weierstr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => m1_subset_1(o_1_0_weierstr(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_wellset1,axiom,( ! [A] : m1_subset_1(o_1_0_wellset1(A),A) )).
fof(dt_o_1_0_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_yellow10(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_yellow13(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_yellow17,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_0_yellow17(A),k4_card_3(A)) ) )).
fof(dt_o_1_0_yellow19,axiom,( ! [A] : m1_subset_1(o_1_0_yellow19(A),A) )).
fof(dt_o_1_0_yellow_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_yellow_2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_0_yellow_3(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_yellow_9,axiom,( ! [A] : ( ( v13_struct_0(A,1) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_0_yellow_9(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_zf_fund2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_0_zf_fund2(A),A) ) )).
fof(dt_o_1_0_zf_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(o_1_0_zf_lang1(A)) & v1_funct_2(o_1_0_zf_lang1(A),k1_zf_lang,A) & m1_subset_1(o_1_0_zf_lang1(A),k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) ) )).
fof(dt_o_1_0_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(o_1_0_zfmodel1(A)) & v1_funct_2(o_1_0_zfmodel1(A),k1_zf_lang,A) & m1_subset_1(o_1_0_zfmodel1(A),k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) ) )).
fof(dt_o_1_0_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(o_1_0_zfmodel2(A)) & v1_funct_2(o_1_0_zfmodel2(A),k1_zf_lang,A) & m1_subset_1(o_1_0_zfmodel2(A),k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) ) )).
fof(dt_o_1_0_zfrefle1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => m1_subset_1(o_1_0_zfrefle1(A),k2_zf_model(A)) ) )).
fof(dt_o_1_0_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => m1_subset_1(o_1_0_zmodul01(A),u1_struct_0(A)) ) )).
fof(dt_o_1_0_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => m1_zmodul03(o_1_0_zmodul04(A),A) ) )).
fof(dt_o_1_10_card_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_card_3(A) ) => m1_subset_1(o_1_10_card_3(A),A) ) )).
fof(dt_o_1_10_cat_7,axiom,( ! [A] : ( ( v1_cat_6(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => m1_subset_1(o_1_10_cat_7(A),k6_cat_6(A)) ) )).
fof(dt_o_1_10_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => m2_finseq_2(o_1_10_comput_1(A),k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) ) )).
fof(dt_o_1_10_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(o_1_10_jordan2c(A),k2_jordan2c(2,k3_topreal1(2,k1_sprect_1(A)))) ) )).
fof(dt_o_1_10_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_10_waybel19(A)) & v1_waybel19(o_1_10_waybel19(A)) & m1_yellow_9(o_1_10_waybel19(A),A) ) ) )).
fof(dt_o_1_11_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_11_card_3(A),k4_card_3(A)) ) )).
fof(dt_o_1_11_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => m1_subset_1(o_1_11_cat_7(A),u4_struct_0(A)) ) )).
fof(dt_o_1_11_member_1,axiom,( ! [A] : ( v1_membered(A) => m1_subset_1(o_1_11_member_1(A),A) ) )).
fof(dt_o_1_12_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m1_subset_1(o_1_12_jordan2c(A),k1_jordan2c(2,k3_topreal1(2,k1_sprect_1(A)))) ) )).
fof(dt_o_1_12_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( v4_waybel11(o_1_12_waybel30(A)) & m1_yellow_9(o_1_12_waybel30(A),A) ) ) )).
fof(dt_o_1_14_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v5_card_3(o_1_14_fomodel4(A)) & m1_subset_1(o_1_14_fomodel4(A),k1_zfmisc_1(k16_fomodel1(A))) ) ) )).
fof(dt_o_1_14_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ( v4_waybel11(o_1_14_waybel30(A)) & m1_yellow_9(o_1_14_waybel30(A),A) ) ) )).
fof(dt_o_1_15_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ( v3_lattice3(o_1_15_waybel30(A)) & v4_waybel11(o_1_15_waybel30(A)) & m1_yellow_9(o_1_15_waybel30(A),A) ) ) )).
fof(dt_o_1_16_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ( v3_lattice3(o_1_16_waybel30(A)) & v4_waybel11(o_1_16_waybel30(A)) & m1_yellow_9(o_1_16_waybel30(A),A) ) ) )).
fof(dt_o_1_17_abcmiz_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k49_abcmiz_1))) ) => m2_subset_1(o_1_17_abcmiz_1(A),u1_struct_0(k49_abcmiz_1),A) ) )).
fof(dt_o_1_17_jordan6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => m1_subset_1(o_1_17_jordan6(A),A) ) )).
fof(dt_o_1_18_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => m1_subset_1(o_1_18_jordan6(A),A) ) )).
fof(dt_o_1_19_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( v2_pre_topc(o_1_19_waybel19(A)) & v1_waybel19(o_1_19_waybel19(A)) & m1_yellow_9(o_1_19_waybel19(A),A) ) ) )).
fof(dt_o_1_1_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(o_1_1_aofa_i00(A)) & v2_funct_1(o_1_1_aofa_i00(A)) & v1_funct_2(o_1_1_aofa_i00(A),A,k1_card_1(A)) & v2_funct_2(o_1_1_aofa_i00(A),k1_card_1(A)) & m1_subset_1(o_1_1_aofa_i00(A),k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) ) )).
fof(dt_o_1_1_arrow,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(o_1_1_arrow(A),A) ) )).
fof(dt_o_1_1_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m1_subset_1(o_1_1_autalg_1(A),u1_struct_0(k3_autalg_1(A))) ) )).
fof(dt_o_1_1_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_subset_1(o_1_1_autgroup(A),u1_struct_0(k3_autgroup(A))) ) )).
fof(dt_o_1_1_bvfunc_1,axiom,( ! [A] : m1_subset_1(o_1_1_bvfunc_1(A),A) )).
fof(dt_o_1_1_card_3,axiom,( ! [A] : m1_subset_1(o_1_1_card_3(A),A) )).
fof(dt_o_1_1_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => m1_subset_1(o_1_1_cat_5(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => m1_subset_1(o_1_1_cat_6(A),k6_cat_6(A)) ) )).
fof(dt_o_1_1_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_cc0sp1(A),A) ) )).
fof(dt_o_1_1_circcmb3,axiom,( ! [A] : m1_subset_1(o_1_1_circcmb3(A),A) )).
fof(dt_o_1_1_closure2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) ) => m1_subset_1(o_1_1_closure2(A),A) ) )).
fof(dt_o_1_1_dickson,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_dickson(A),A) ) )).
fof(dt_o_1_1_eqrel_1,axiom,( ! [A] : m1_subset_1(o_1_1_eqrel_1(A),A) )).
fof(dt_o_1_1_equation,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(o_1_1_equation(A),A) ) )).
fof(dt_o_1_1_euclid_7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_euclid(k5_numbers))) => m1_subset_1(o_1_1_euclid_7(A),A) ) )).
fof(dt_o_1_1_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => m1_subset_1(o_1_1_exchsort(A),k9_xtuple_0(A)) ) )).
fof(dt_o_1_1_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_filter_1(A),A) ) )).
fof(dt_o_1_1_finseq_1,axiom,( ! [A] : ( v1_finset_1(A) => ( v2_funct_1(o_1_1_finseq_1(A)) & v2_funct_2(o_1_1_finseq_1(A),A) & m2_finseq_1(o_1_1_finseq_1(A),A) ) ) )).
fof(dt_o_1_1_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(o_1_1_finseq_3(A),k10_xtuple_0(A)) ) )).
fof(dt_o_1_1_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_freealg(A) ) => m1_subset_1(o_1_1_freealg(A),A) ) )).
fof(dt_o_1_1_funcop_1,axiom,( ! [A] : m1_subset_1(o_1_1_funcop_1(A),A) )).
fof(dt_o_1_1_funct_5,axiom,( ! [A] : m1_subset_1(o_1_1_funct_5(A),k10_xtuple_0(A)) )).
fof(dt_o_1_1_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => m1_subset_1(o_1_1_funct_6(A),k10_xtuple_0(k1_funct_6(A))) ) )).
fof(dt_o_1_1_functor0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_functor0(A),A) ) )).
fof(dt_o_1_1_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_subset_1(o_1_1_glib_002(A),k6_glib_000(A)) ) )).
fof(dt_o_1_1_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => m1_subset_1(o_1_1_glib_004(A),k6_glib_000(A)) ) )).
fof(dt_o_1_1_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_goedcpuc(o_1_1_goedcpuc(A),A) ) )).
fof(dt_o_1_1_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => m2_subset_1(o_1_1_goedelcp(A),k9_qc_lang1(A),k3_cqc_lang(A)) ) )).
fof(dt_o_1_1_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(o_1_1_graph_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(o_1_1_graph_4(A),k2_graph_4(A,k1_xboole_0)) ) )).
fof(dt_o_1_1_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(o_1_1_graph_5(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(o_1_1_groeb_3(A),k15_pre_poly(A)) & v1_relat_2(o_1_1_groeb_3(A)) & v4_relat_2(o_1_1_groeb_3(A)) & v6_relat_2(o_1_1_groeb_3(A)) & v8_relat_2(o_1_1_groeb_3(A)) & v2_bagorder(o_1_1_groeb_3(A),A) & m1_subset_1(o_1_1_groeb_3(A),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) ) )).
fof(dt_o_1_1_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & l1_struct_0(A) ) => m1_subset_1(o_1_1_group_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_subset_1(o_1_1_group_2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_hahnban,axiom,( ! [A] : m1_subset_1(o_1_1_hahnban(A),A) )).
fof(dt_o_1_1_helly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_helly(A),A) ) )).
fof(dt_o_1_1_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_valuat_1(o_1_1_henmodel(A),A,o_0_0_henmodel) ) )).
fof(dt_o_1_1_heyting1,axiom,( ! [A] : m1_subset_1(o_1_1_heyting1(A),k2_xfamily(A)) )).
fof(dt_o_1_1_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => m1_hilbert3(o_1_1_hilbert3(A),A) ) )).
fof(dt_o_1_1_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => m1_subset_1(o_1_1_incsp_1(A),u4_incsp_1(A)) ) )).
fof(dt_o_1_1_int_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(o_1_1_int_3(A)) & v1_funct_2(o_1_1_int_3(A),u1_struct_0(A),k4_ordinal1) & m1_subset_1(o_1_1_int_3(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1))) ) ) )).
fof(dt_o_1_1_integra2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => m1_integra1(o_1_1_integra2(A),A) ) )).
fof(dt_o_1_1_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v1_funct_1(o_1_1_integra4(A)) & v1_funct_2(o_1_1_integra4(A),k4_ordinal1,k1_integra1(A)) & m1_subset_1(o_1_1_integra4(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) ) )).
fof(dt_o_1_1_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(o_1_1_interva1(A)) & m1_subset_1(o_1_1_interva1(A),k1_zfmisc_1(A)) ) ) )).
fof(dt_o_1_1_jordan1b,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m2_subset_1(o_1_1_jordan1b(A),u1_struct_0(k15_euclid(2)),A) ) )).
fof(dt_o_1_1_jordan24,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => m1_subset_1(o_1_1_jordan24(A),k3_subset_1(u1_struct_0(k15_euclid(2)),A)) ) )).
fof(dt_o_1_1_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_finset_1(o_1_1_kolmog01(A)) & m1_subset_1(o_1_1_kolmog01(A),k1_zfmisc_1(A)) ) ) )).
fof(dt_o_1_1_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(o_1_1_matrix_1(A)) & v1_funct_2(o_1_1_matrix_1(A),k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(o_1_1_matrix_1(A),k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(o_1_1_matrix_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) ) )).
fof(dt_o_1_1_metrizts,axiom,( ! [A] : m1_subset_1(o_1_1_metrizts(A),A) )).
fof(dt_o_1_1_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(o_1_1_mfold_1(A)) & v1_mfold_1(o_1_1_mfold_1(A),A) & m1_subset_1(o_1_1_mfold_1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) ) )).
fof(dt_o_1_1_mod_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_orders_1(o_1_1_mod_3(A),A,k6_partfun1(A)) ) )).
fof(dt_o_1_1_neckla_3,axiom,( ! [A] : m1_subset_1(o_1_1_neckla_3(A),A) )).
fof(dt_o_1_1_orders_1,axiom,( ! [A] : m1_subset_1(o_1_1_orders_1(A),k3_tarski(A)) )).
fof(dt_o_1_1_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => m2_orders_1(o_1_1_orders_2(A),k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) ) )).
fof(dt_o_1_1_orders_4,axiom,( ! [A] : ( ( v8_struct_0(A) & m1_orders_4(A) ) => ( v1_funct_1(o_1_1_orders_4(A)) & v1_funct_2(o_1_1_orders_4(A),u1_struct_0(A),u1_struct_0(k1_yellow_1(k5_numbers))) & m1_subset_1(o_1_1_orders_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k5_numbers))))) ) ) )).
fof(dt_o_1_1_ordinal2,axiom,( ! [A] : m1_subset_1(o_1_1_ordinal2(A),k2_ordinal1(A)) )).
fof(dt_o_1_1_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => m1_subset_1(o_1_1_ordinal5(A),A) ) )).
fof(dt_o_1_1_partit1,axiom,( ! [A] : m1_subset_1(o_1_1_partit1(A),A) )).
fof(dt_o_1_1_pencil_1,axiom,( ! [A] : m1_subset_1(o_1_1_pencil_1(A),A) )).
fof(dt_o_1_1_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => m1_subset_1(o_1_1_petri(A),k7_petri(A,k1_subset_1(u1_struct_0(A)))) ) )).
fof(dt_o_1_1_pre_circ,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_pre_circ(A),A) ) )).
fof(dt_o_1_1_prefer_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) ) => m1_subset_1(o_1_1_prefer_1(A),A) ) )).
fof(dt_o_1_1_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => m2_qc_lang1(o_1_1_qc_lang1(A),A) ) )).
fof(dt_o_1_1_rlaffin1,axiom,( ! [A] : m1_subset_1(o_1_1_rlaffin1(A),A) )).
fof(dt_o_1_1_rlvect_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_rlvect_3(A),A) ) )).
fof(dt_o_1_1_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v5_robbins1(A) & l2_robbins1(A) ) => m1_subset_1(o_1_1_robbins1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(o_1_1_rpr_1(A),A) ) )).
fof(dt_o_1_1_rusub_3,axiom,( ! [A] : m1_subset_1(o_1_1_rusub_3(A),A) )).
fof(dt_o_1_1_scmpds_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(o_1_1_scmpds_9(A)) & v4_relat_1(o_1_1_scmpds_9(A),u1_struct_0(k1_scmpds_2)) & v1_funct_1(o_1_1_scmpds_9(A)) & v5_funct_1(o_1_1_scmpds_9(A),k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(o_1_1_scmpds_9(A),u1_struct_0(k1_scmpds_2)) & v5_memstr_0(o_1_1_scmpds_9(A),k5_card_1(2),k1_scmpds_2,A) ) ) )).
fof(dt_o_1_1_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_relat_1(o_1_1_scmring2(A)) & v4_relat_1(o_1_1_scmring2(A),u1_struct_0(k1_scmring2(A))) & v1_funct_1(o_1_1_scmring2(A)) & v5_funct_1(o_1_1_scmring2(A),k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(o_1_1_scmring2(A),u1_struct_0(k1_scmring2(A))) ) ) )).
fof(dt_o_1_1_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_ami_2(o_1_1_scmring3(A)) & m1_subset_1(o_1_1_scmring3(A),u1_struct_0(k1_scmring2(A))) ) ) )).
fof(dt_o_1_1_seq_4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => m1_subset_1(o_1_1_seq_4(A),A) ) )).
fof(dt_o_1_1_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_sheffer1(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l3_sheffer1(A) ) => m1_subset_1(o_1_1_sheffer1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => m1_subset_1(o_1_1_stacks_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_topalg_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(k5_numbers,1))))) => m2_rcomp_3(o_1_1_topalg_5(A),k5_numbers,1,A,o_1_0_topalg_5(A)) ) )).
fof(dt_o_1_1_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => m1_trees_1(o_1_1_trees_1(A),A) ) )).
fof(dt_o_1_1_vectsp_7,axiom,( ! [A] : m1_subset_1(o_1_1_vectsp_7(A),A) )).
fof(dt_o_1_1_waybel21,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( v2_cantor_1(o_1_1_waybel21(A),A) & v1_tops_2(o_1_1_waybel21(A),A) & m1_subset_1(o_1_1_waybel21(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_o_1_1_waybel22,axiom,( ! [A] : ( v1_funct_1(o_1_1_waybel22(A)) & v1_funct_2(o_1_1_waybel22(A),A,u1_struct_0(o_0_0_waybel22)) & m1_subset_1(o_1_1_waybel22(A),k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(o_0_0_waybel22)))) ) )).
fof(dt_o_1_1_waybel25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v4_waybel11(o_1_1_waybel25(A)) & m1_yellow_9(o_1_1_waybel25(A),k4_yellow_1(A,k7_funcop_1(A,k2_yellow_1(k1_tarski(k5_numbers))))) ) ) )).
fof(dt_o_1_1_waybel27,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_1_waybel27(A)) & m1_yellow_9(o_1_1_waybel27(A),A) ) ) )).
fof(dt_o_1_1_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_1_waybel28(A)) & m1_yellow_9(o_1_1_waybel28(A),A) ) ) )).
fof(dt_o_1_1_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_1_waybel30(A)) & v4_waybel11(o_1_1_waybel30(A)) & m1_yellow_9(o_1_1_waybel30(A),A) ) ) )).
fof(dt_o_1_1_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_1_waybel34(A)) & m1_yellow_9(o_1_1_waybel34(A),A) ) ) )).
fof(dt_o_1_1_wellset1,axiom,( ! [A] : ( v1_relat_1(A) => m1_subset_1(o_1_1_wellset1(A),k1_relat_1(A)) ) )).
fof(dt_o_1_1_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v3_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(o_1_1_yellow10(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_1_yellow16(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => m1_subset_1(o_1_1_yellow_3(A),u1_struct_0(A)) ) )).
fof(dt_o_1_1_yellow_9,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_1_yellow_9(A)) & v4_waybel11(o_1_1_yellow_9(A)) & m1_yellow_9(o_1_1_yellow_9(A),A) ) ) )).
fof(dt_o_1_1_zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(o_1_1_zf_colla(A)) & v1_funct_2(o_1_1_zf_colla(A),k1_zf_lang,A) & m1_subset_1(o_1_1_zf_colla(A),k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) ) )).
fof(dt_o_1_1_zf_fund1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_zf_fund1(A),A) ) )).
fof(dt_o_1_1_zf_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_1_zf_lang1(A),A) ) )).
fof(dt_o_1_1_zfrefle1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(o_1_1_zfrefle1(A)) & v1_funct_2(o_1_1_zfrefle1(A),k1_zf_lang,A) & m1_subset_1(o_1_1_zfrefle1(A),k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) ) )).
fof(dt_o_1_1_zmodul03,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_orders_1(o_1_1_zmodul03(A),A,k6_partfun1(A)) ) )).
fof(dt_o_1_1_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => m1_zmodul03(o_1_1_zmodul04(A),A) ) )).
fof(dt_o_1_20_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( v4_waybel11(o_1_20_waybel19(A)) & m1_yellow_9(o_1_20_waybel19(A),A) ) ) )).
fof(dt_o_1_23_waybel19,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_23_waybel19(A)) & v2_waybel19(o_1_23_waybel19(A)) & m1_yellow_9(o_1_23_waybel19(A),A) ) ) )).
fof(dt_o_1_25_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( v4_waybel11(o_1_25_waybel19(A)) & m1_yellow_9(o_1_25_waybel19(A),A) ) ) )).
fof(dt_o_1_2_aofa_i00,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_card_3(A) ) => ( v1_funct_1(o_1_2_aofa_i00(A)) & v1_funct_2(o_1_2_aofa_i00(A),k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(o_1_2_aofa_i00(A),k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) ) )).
fof(dt_o_1_2_arrow,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m2_subset_1(o_1_2_arrow(A),k2_arrow(A),k3_arrow(A)) ) )).
fof(dt_o_1_2_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_2_card_3(A),k4_card_3(A)) ) )).
fof(dt_o_1_2_card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_card_4(A),A) ) )).
fof(dt_o_1_2_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => m1_subset_1(o_1_2_card_lar(A),A) ) )).
fof(dt_o_1_2_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => m1_subset_1(o_1_2_cat_6(A),k6_cat_6(A)) ) )).
fof(dt_o_1_2_cat_7,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_cat_6(o_1_2_cat_7(A)) & v8_cat_6(o_1_2_cat_7(A)) & v9_cat_6(o_1_2_cat_7(A)) & v10_cat_6(o_1_2_cat_7(A)) & v6_cat_7(o_1_2_cat_7(A)) & v7_cat_7(o_1_2_cat_7(A),A) & l1_cat_6(o_1_2_cat_7(A)) ) ) )).
fof(dt_o_1_2_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k6_domain_1(k4_ordinal1,k5_numbers)) & v1_funct_1(A) & v1_partfun1(A,k6_domain_1(k4_ordinal1,k5_numbers)) & v1_yellow_1(A) ) => m1_subset_1(o_1_2_dickson(A),k4_card_3(k12_pralg_1(k6_domain_1(k4_ordinal1,k5_numbers),A))) ) )).
fof(dt_o_1_2_eqrel_1,axiom,( ! [A] : ( v3_relat_2(o_1_2_eqrel_1(A)) & v8_relat_2(o_1_2_eqrel_1(A)) & v1_partfun1(o_1_2_eqrel_1(A),A) & m1_subset_1(o_1_2_eqrel_1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) )).
fof(dt_o_1_2_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => m1_subset_1(o_1_2_filter_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(o_1_2_finseq_1(A),k3_xboole_0(k1_finseq_1(A),k1_tarski(k1_nat_1(A,1)))) ) )).
fof(dt_o_1_2_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(o_1_2_finseq_3(A),k8_subset_1(k4_ordinal1,k2_finseq_1(k3_finseq_1(A)),k1_tarski(k1_nat_1(k3_finseq_1(A),1)))) ) )).
fof(dt_o_1_2_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_fomodel3(A),A) ) )).
fof(dt_o_1_2_frechet,axiom,( ! [A] : m1_subset_1(o_1_2_frechet(A),k3_xboole_0(k4_ordinal1,A)) )).
fof(dt_o_1_2_fsm_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => m1_subset_1(o_1_2_fsm_1(A),A) ) )).
fof(dt_o_1_2_funct_1,axiom,( ! [A] : m1_subset_1(o_1_2_funct_1(A),A) )).
fof(dt_o_1_2_funct_5,axiom,( ! [A] : m1_subset_1(o_1_2_funct_5(A),k9_xtuple_0(A)) )).
fof(dt_o_1_2_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => m1_subset_1(o_1_2_funct_6(A),k4_card_3(k1_funct_6(A))) ) )).
fof(dt_o_1_2_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v4_glib_000(A) ) => m1_subset_1(o_1_2_glib_000(A),k6_glib_000(A)) ) )).
fof(dt_o_1_2_graph_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_graph_2(A),A) ) )).
fof(dt_o_1_2_graph_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_graph_3(A),A) ) )).
fof(dt_o_1_2_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_subset_1(o_1_2_graph_4(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_group_9,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(o_1_2_group_9(A)) & v1_funct_2(o_1_2_group_9(A),k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(o_1_2_group_9(A),k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(o_1_2_group_9(A),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) ) )).
fof(dt_o_1_2_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => m2_funct_2(o_1_2_henmodel(A),k3_qc_lang1(A),o_0_0_henmodel,k2_valuat_1(A,o_0_0_henmodel)) ) )).
fof(dt_o_1_2_heyting1,axiom,( ! [A] : m1_subset_1(o_1_2_heyting1(A),k1_xfamily(A)) )).
fof(dt_o_1_2_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => m1_subset_1(o_1_2_incsp_1(A),u2_incsp_1(A)) ) )).
fof(dt_o_1_2_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(o_1_2_lattice7(A),k9_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),k3_yellow_0(A)),k3_lattice7(A))) ) )).
fof(dt_o_1_2_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => m1_matrix_1(o_1_2_matrix_1(A),A) ) )).
fof(dt_o_1_2_metrizts,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => m1_subset_1(o_1_2_metrizts(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_2_mfold_0(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_mod_3,axiom,( ! [A] : m1_subset_1(o_1_2_mod_3(A),A) )).
fof(dt_o_1_2_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => m1_subset_1(o_1_2_modelc_2(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) ) => m1_subset_1(o_1_2_openlatt(A),k3_funct_2(u1_struct_0(A),u1_struct_0(k15_openlatt(A)),k16_openlatt(A),k5_lattices(A))) ) )).
fof(dt_o_1_2_orders_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_orders_1(o_1_2_orders_1(A),A,k6_partfun1(A)) ) )).
fof(dt_o_1_2_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => m1_subset_1(o_1_2_ordinal2(A),A) ) )).
fof(dt_o_1_2_ordinal5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_ordinal5(A),A) ) )).
fof(dt_o_1_2_ordinal6,axiom,( ! [A] : m1_subset_1(o_1_2_ordinal6(A),A) )).
fof(dt_o_1_2_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_pboole(A),A) ) )).
fof(dt_o_1_2_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => m1_subset_1(o_1_2_petri(A),k8_petri(A,k1_subset_1(u4_struct_0(A)))) ) )).
fof(dt_o_1_2_pua2mss1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_2_pua2mss1(A),k4_card_3(A)) ) )).
fof(dt_o_1_2_qc_lang1,axiom,( ! [A] : m1_subset_1(o_1_2_qc_lang1(A),A) )).
fof(dt_o_1_2_qc_trans,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_qc_trans(A),A) ) )).
fof(dt_o_1_2_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_quantal1(A) ) => m1_subset_1(o_1_2_quantal1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_rewrite1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) ) => m1_subset_1(o_1_2_rewrite1(A),A) ) )).
fof(dt_o_1_2_rlaffin1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_orders_1(o_1_2_rlaffin1(A),A,k6_partfun1(A)) ) )).
fof(dt_o_1_2_rlsub_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_2_rlsub_2(A),k10_xtuple_0(A)) ) )).
fof(dt_o_1_2_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => m1_connsp_2(o_1_2_rltopsp1(A),A,k4_struct_0(A)) ) )).
fof(dt_o_1_2_rlvect_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_orders_1(o_1_2_rlvect_3(A),A,k6_partfun1(A)) ) )).
fof(dt_o_1_2_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v15_lattices(A) & v8_robbins1(A) & l4_robbins1(A) ) => m1_subset_1(o_1_2_robbins1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_rusub_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_2_rusub_2(A),k10_xtuple_0(A)) ) )).
fof(dt_o_1_2_rusub_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_orders_1(o_1_2_rusub_3(A),A,k6_partfun1(A)) ) )).
fof(dt_o_1_2_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => m1_subset_1(o_1_2_scmring2(A),k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) ) )).
fof(dt_o_1_2_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => m1_subset_1(o_1_2_scmring3(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_setfam_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_setfam_1(A),A) ) )).
fof(dt_o_1_2_simplex0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_simplex0(A),A) ) )).
fof(dt_o_1_2_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(o_1_2_simplex2(A),u1_struct_0(k14_euclid(A))) ) )).
fof(dt_o_1_2_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_tex_1(A),A) ) )).
fof(dt_o_1_2_topalg_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ( v3_funct_1(o_1_2_topalg_5(A)) & m1_borsuk_2(o_1_2_topalg_5(A),k8_toprealb(2),A,A) ) ) )).
fof(dt_o_1_2_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => m2_subset_1(o_1_2_unialg_2(A),u1_struct_0(A),k6_unialg_2(A)) ) )).
fof(dt_o_1_2_waybel21,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( v4_waybel11(o_1_2_waybel21(A)) & m1_yellow_9(o_1_2_waybel21(A),A) ) ) )).
fof(dt_o_1_2_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_waybel18(A) & l1_pre_topc(A) ) => ( v4_waybel11(o_1_2_waybel25(A)) & m1_yellow_9(o_1_2_waybel25(A),k1_waybel25(A)) ) ) )).
fof(dt_o_1_2_waybel27,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_2_waybel27(A)) & m1_yellow_9(o_1_2_waybel27(A),A) ) ) )).
fof(dt_o_1_2_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_2_waybel30(A)) & v1_waybel19(o_1_2_waybel30(A)) & m1_yellow_9(o_1_2_waybel30(A),A) ) ) )).
fof(dt_o_1_2_waybel_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_waybel_0(A),A) ) )).
fof(dt_o_1_2_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v5_waybel_6(o_1_2_waybel_6(A),A) & m1_subset_1(o_1_2_waybel_6(A),u1_struct_0(A)) ) ) )).
fof(dt_o_1_2_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v2_vectsp_7(o_1_2_weddwitt(A),k4_weddwitt(A),k6_weddwitt(A)) & m1_subset_1(o_1_2_weddwitt(A),k1_zfmisc_1(u1_struct_0(k6_weddwitt(A)))) ) ) )).
fof(dt_o_1_2_wellfnd1,axiom,( ! [A] : m1_subset_1(o_1_2_wellfnd1(A),A) )).
fof(dt_o_1_2_yellow10,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(o_1_2_yellow10(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_yellow14,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(o_1_2_yellow14(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_yellow16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_2_yellow16(A),A) ) )).
fof(dt_o_1_2_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => m1_subset_1(o_1_2_yellow21(A),u1_struct_0(A)) ) )).
fof(dt_o_1_2_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( ~ v1_xboole_0(o_1_2_yellow_3(A)) & m1_subset_1(o_1_2_yellow_3(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_o_1_2_zfrefle1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( v3_ordinal1(o_1_2_zfrefle1(A)) & m1_subset_1(o_1_2_zfrefle1(A),A) ) ) )).
fof(dt_o_1_2_zmodul03,axiom,( ! [A] : m1_subset_1(o_1_2_zmodul03(A),A) )).
fof(dt_o_1_2_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v3_zmodul03(A) & l1_zmodul01(A) ) => m1_zmodul03(o_1_2_zmodul04(A),A) ) )).
fof(dt_o_1_3_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => m1_subset_1(o_1_3_abcmiz_a(A),A) ) )).
fof(dt_o_1_3_afinsq_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_afinsq_1(A),A) ) )).
fof(dt_o_1_3_aofa_i00,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_card_3(A) ) => ( v1_funct_1(o_1_3_aofa_i00(A)) & v1_funct_2(o_1_3_aofa_i00(A),k9_funct_2(A,k4_numbers),A) & m1_subset_1(o_1_3_aofa_i00(A),k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),A))) ) ) )).
fof(dt_o_1_3_card_3,axiom,( ! [A] : m1_subset_1(o_1_3_card_3(A),k5_card_3(A,k1_xboole_0)) )).
fof(dt_o_1_3_card_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_3_card_4(A),k6_subset_1(k4_ordinal1,k10_xtuple_0(A))) ) )).
fof(dt_o_1_3_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) ) => m1_subset_1(o_1_3_card_fil(A),k6_card_fil(A)) ) )).
fof(dt_o_1_3_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => m1_subset_1(o_1_3_cat_7(A),k6_cat_6(A)) ) )).
fof(dt_o_1_3_cohsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_cohsp_1(A),A) ) )).
fof(dt_o_1_3_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_eqrel_1(A),A) ) )).
fof(dt_o_1_3_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v15_lattices(A) & l3_lattices(A) ) => m1_subset_1(o_1_3_filter_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_3_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(o_1_3_finseq_3(A),k1_relset_1(k4_ordinal1,A)) ) )).
fof(dt_o_1_3_fomodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_fomodel2(A),A) ) )).
fof(dt_o_1_3_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_subset_1(o_1_3_fomodel3(A),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)) ) )).
fof(dt_o_1_3_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_3_funct_5(A),k9_xtuple_0(k2_funct_5(A))) ) )).
fof(dt_o_1_3_glib_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_glib_000(A),A) ) )).
fof(dt_o_1_3_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) ) => m1_subset_1(o_1_3_glib_004(A),k6_glib_000(A)) ) )).
fof(dt_o_1_3_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) ) => m1_subset_1(o_1_3_graph_3(A),u1_struct_0(A)) ) )).
fof(dt_o_1_3_group_4,axiom,( ! [A] : m1_subset_1(o_1_3_group_4(A),A) )).
fof(dt_o_1_3_heyting1,axiom,( ! [A] : m2_funct_2(o_1_3_heyting1(A),k7_normform(A),k1_heyting1(A),k9_funct_2(k7_normform(A),k1_heyting1(A))) )).
fof(dt_o_1_3_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => m2_subset_1(o_1_3_jordan2c(A),u1_struct_0(k15_euclid(2)),k2_goboard9(k1_sprect_1(A))) ) )).
fof(dt_o_1_3_lattice6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_lattice6(A),A) ) )).
fof(dt_o_1_3_lattice8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow11(A) & l1_orders_2(A) ) => m1_lattice8(o_1_3_lattice8(A),u1_struct_0(A),A,k16_lattice5(A)) ) )).
fof(dt_o_1_3_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_matrix_1(o_1_3_matrix_1(A),k9_matrix_1(A)) ) )).
fof(dt_o_1_3_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) ) => ( v3_pre_topc(o_1_3_matroid0(A),A) & m1_subset_1(o_1_3_matroid0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_o_1_3_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => m1_subset_1(o_1_3_mfold_0(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_o_1_3_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => m1_subset_1(o_1_3_midsp_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_3_orders_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_orders_1(A),A) ) )).
fof(dt_o_1_3_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => m1_subset_1(o_1_3_petri(A),k9_petri(A,k1_subset_1(u4_struct_0(A)))) ) )).
fof(dt_o_1_3_polynom7,axiom,( ! [A] : ( v1_relat_1(o_1_3_polynom7(A)) & v4_relat_1(o_1_3_polynom7(A),A) & v1_funct_1(o_1_3_polynom7(A)) & v1_partfun1(o_1_3_polynom7(A),A) & v4_valued_0(o_1_3_polynom7(A)) & v2_pre_poly(o_1_3_polynom7(A)) ) )).
fof(dt_o_1_3_polyred,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_polyred(A),A) ) )).
fof(dt_o_1_3_relat_1,axiom,( ! [A] : m1_subset_1(o_1_3_relat_1(A),A) )).
fof(dt_o_1_3_rlaffin1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_3_rlaffin1(A),A) ) )).
fof(dt_o_1_3_rlvect_3,axiom,( ! [A] : m1_subset_1(o_1_3_rlvect_3(A),A) )).
fof(dt_o_1_3_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m2_subset_1(o_1_3_rvsum_3(A),k4_ordinal1,k5_rvsum_3(A)) ) )).
fof(dt_o_1_3_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_relat_1(o_1_3_scmring3(A)) & v4_relat_1(o_1_3_scmring3(A),u1_struct_0(k1_scmring2(A))) & v1_funct_1(o_1_3_scmring3(A)) & v5_funct_1(o_1_3_scmring3(A),k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(o_1_3_scmring3(A),u1_struct_0(k1_scmring2(A))) ) ) )).
fof(dt_o_1_3_tex_1,axiom,( ! [A] : m1_subset_1(o_1_3_tex_1(A),A) )).
fof(dt_o_1_3_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => m1_trees_1(o_1_3_trees_2(A),A) ) )).
fof(dt_o_1_3_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => m2_subset_1(o_1_3_unialg_3(A),u1_struct_0(A),k6_unialg_2(A)) ) )).
fof(dt_o_1_3_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(o_1_3_waybel10(A),u1_struct_0(A)) ) )).
fof(dt_o_1_3_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( v4_waybel11(o_1_3_waybel29(A)) & m1_yellow_9(o_1_3_waybel29(A),k1_yellow_1(u1_pre_topc(A))) ) ) )).
fof(dt_o_1_3_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_3_waybel33(A)) & v1_waybel19(o_1_3_waybel33(A)) & m1_yellow_9(o_1_3_waybel33(A),A) ) ) )).
fof(dt_o_1_3_yellow10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => m1_subset_1(o_1_3_yellow10(A),u1_struct_0(A)) ) )).
fof(dt_o_1_3_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_3_yellow21(A),u1_struct_0(A)) ) )).
fof(dt_o_1_3_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => m1_zmodul03(o_1_3_zmodul03(A),A) ) )).
fof(dt_o_1_4_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => m1_subset_1(o_1_4_afproj(A),u1_struct_0(A)) ) )).
fof(dt_o_1_4_aofa_000,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => m1_trees_1(o_1_4_aofa_000(A),A) ) )).
fof(dt_o_1_4_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) ) => ( v1_relat_1(o_1_4_aofa_a00(A)) & v2_relat_1(o_1_4_aofa_a00(A)) & v4_relat_1(o_1_4_aofa_a00(A),u1_struct_0(A)) & v1_funct_1(o_1_4_aofa_a00(A)) & v1_partfun1(o_1_4_aofa_a00(A),u1_struct_0(A)) ) ) )).
fof(dt_o_1_4_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) => m1_subset_1(o_1_4_card_3(A),k4_card_3(A)) ) )).
fof(dt_o_1_4_card_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_4_card_4(A),k10_xtuple_0(A)) ) )).
fof(dt_o_1_4_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => m1_subset_1(o_1_4_card_fil(A),A) ) )).
fof(dt_o_1_4_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => m1_cat_5(o_1_4_cat_5(A),A) ) )).
fof(dt_o_1_4_fcont_3,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => m1_rcomp_1(o_1_4_fcont_3(A),A) ) )).
fof(dt_o_1_4_finseq_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_4_finseq_1(A),A) ) )).
fof(dt_o_1_4_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_subset_1(o_1_4_fomodel2(A),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k32_fomodel1(A)) ) )).
fof(dt_o_1_4_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_4_funct_5(A),k9_xtuple_0(A)) ) )).
fof(dt_o_1_4_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v2_glib_002(A) ) => m1_subset_1(o_1_4_glib_002(A),k7_glib_000(A)) ) )).
fof(dt_o_1_4_heyting1,axiom,( ! [A] : m2_funct_2(o_1_4_heyting1(A),k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k9_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)))) )).
fof(dt_o_1_4_hilbert4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_4_hilbert4(A),A) ) )).
fof(dt_o_1_4_lang1,axiom,( ! [A] : m1_subset_1(o_1_4_lang1(A),k1_lang1(k6_lang1(A))) )).
fof(dt_o_1_4_lfuzzy_0,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => m1_subset_1(o_1_4_lfuzzy_0(A),A) ) )).
fof(dt_o_1_4_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ( v1_xboole_0(o_1_4_mfold_0(A)) & m1_subset_1(o_1_4_mfold_0(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_o_1_4_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_trees_3(A) ) => m2_subset_1(o_1_4_msafree5(A),k4_ordinal1,k4_finseq_1(A)) ) )).
fof(dt_o_1_4_nat_1,axiom,( ! [A] : ( v1_finset_1(A) => m1_subset_1(o_1_4_nat_1(A),A) ) )).
fof(dt_o_1_4_orders_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_4_orders_1(A),o_1_3_orders_1(A)) ) )).
fof(dt_o_1_4_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m2_subset_1(o_1_4_rvsum_3(A),k4_ordinal1,k6_rvsum_3(A)) ) )).
fof(dt_o_1_4_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_relat_1(o_1_4_scmring3(A)) & v4_relat_1(o_1_4_scmring3(A),k4_ordinal1) & v5_relat_1(o_1_4_scmring3(A),u1_compos_1(k1_scmring2(A))) & v1_funct_1(o_1_4_scmring3(A)) & v1_partfun1(o_1_4_scmring3(A),k4_ordinal1) ) ) )).
fof(dt_o_1_4_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => m1_subset_1(o_1_4_stacks_1(A),u4_struct_0(A)) ) )).
fof(dt_o_1_4_topgen_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => m1_subset_1(o_1_4_topgen_3(A),k6_subset_1(k1_numbers,a_1_1_topgen_3(A))) ) )).
fof(dt_o_1_4_trees_2,axiom,( ! [A] : m1_subset_1(o_1_4_trees_2(A),A) )).
fof(dt_o_1_4_waybel21,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( v2_pre_topc(o_1_4_waybel21(A)) & v1_waybel19(o_1_4_waybel21(A)) & m1_yellow_9(o_1_4_waybel21(A),A) ) ) )).
fof(dt_o_1_4_waybel29,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_4_waybel29(A)) & m1_yellow_9(o_1_4_waybel29(A),A) ) ) )).
fof(dt_o_1_4_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_waybel33(o_1_4_waybel33(A)) & m1_yellow_9(o_1_4_waybel33(A),A) ) ) )).
fof(dt_o_1_4_waybel_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_4_waybel_4(A),A) ) )).
fof(dt_o_1_4_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v24_waybel_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_4_yellow10(A),u1_struct_0(A)) ) )).
fof(dt_o_1_5_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_1_5_card_3(A),k9_xtuple_0(A)) ) )).
fof(dt_o_1_5_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & v2_catalg_1(A) & v3_catalg_1(A) & l1_msualg_1(A) ) => m1_subset_1(o_1_5_catalg_1(A),u1_struct_0(A)) ) )).
fof(dt_o_1_5_dilworth,axiom,( ! [A] : ( ( v8_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => m1_subset_1(o_1_5_dilworth(A),k5_dilworth(A)) ) )).
fof(dt_o_1_5_fomodel0,axiom,( ! [A] : m2_subset_1(o_1_5_fomodel0(A),k1_zfmisc_1(k10_xtuple_0(A)),k7_subset_1(k1_zfmisc_1(k10_xtuple_0(A)),k9_setfam_1(k10_xtuple_0(A)),k10_xtuple_0(A))) )).
fof(dt_o_1_5_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_subset_1(o_1_5_fomodel2(A),k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(o_0_0_fomodel2),k2_xboole_0(o_0_0_fomodel2,k5_margrel1))),k15_fomodel2(A,o_0_0_fomodel2)) ) )).
fof(dt_o_1_5_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v3_glib_002(A) ) => ( v11_glib_000(o_1_5_glib_002(A),A) & m1_subset_1(o_1_5_glib_002(A),k6_glib_000(A)) ) ) )).
fof(dt_o_1_5_hilbert4,axiom,( ! [A] : m1_subset_1(o_1_5_hilbert4(A),A) )).
fof(dt_o_1_5_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_5_lattice5(A),A) ) )).
fof(dt_o_1_5_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_5_lfuzzy_0(A),A) ) )).
fof(dt_o_1_5_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => m2_subset_1(o_1_5_lopclset(A),k1_zfmisc_1(u1_struct_0(k11_lopclset(A))),k1_lopclset(k11_lopclset(A))) ) )).
fof(dt_o_1_5_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => m2_orders_1(o_1_5_modelc_3(A),k1_orders_1(k1_modelc_3(A)),k6_partfun1(k1_orders_1(k1_modelc_3(A)))) ) )).
fof(dt_o_1_5_pua2mss1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_5_pua2mss1(A),A) ) )).
fof(dt_o_1_5_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => m2_subset_1(o_1_5_rvsum_3(A),k4_ordinal1,k5_rvsum_3(A)) ) )).
fof(dt_o_1_5_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_relat_1(o_1_5_scmring3(A)) & v4_relat_1(o_1_5_scmring3(A),u1_struct_0(k1_scmring2(A))) & v1_funct_1(o_1_5_scmring3(A)) & v5_funct_1(o_1_5_scmring3(A),k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(o_1_5_scmring3(A),u1_struct_0(k1_scmring2(A))) ) ) )).
fof(dt_o_1_5_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => m2_orders_1(o_1_5_stacks_1(A),k8_eqrel_1(u4_struct_0(A),k10_stacks_1(A)),k6_partfun1(k8_eqrel_1(u4_struct_0(A),k10_stacks_1(A)))) ) )).
fof(dt_o_1_5_trees_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_5_trees_2(A),A) ) )).
fof(dt_o_1_5_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_5_waybel32(A)) & m1_yellow_9(o_1_5_waybel32(A),A) ) ) )).
fof(dt_o_1_5_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ~ v1_xboole_0(o_1_5_waybel_4(A)) & v1_waybel_0(o_1_5_waybel_4(A),A) & v12_waybel_0(o_1_5_waybel_4(A),A) & m1_subset_1(o_1_5_waybel_4(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_o_1_5_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => m1_subset_1(o_1_5_yellow10(A),u1_struct_0(A)) ) )).
fof(dt_o_1_6_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(o_1_6_brouwer3(A),u1_struct_0(k8_toprealb(k1_nat_1(k1_nat_1(A,1),1)))) ) )).
fof(dt_o_1_6_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & v4_cat_5(A) & l1_cat_1(A) ) => m1_subset_1(o_1_6_cat_5(A),u4_struct_0(A)) ) )).
fof(dt_o_1_6_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => m2_subset_1(o_1_6_fomodel3(A),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k30_fomodel2(A)) ) )).
fof(dt_o_1_6_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v3_glib_002(A) ) => m2_glib_000(o_1_6_glib_002(A),A,k6_subset_1(k6_glib_000(A),k1_tarski(o_1_5_glib_002(A))),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(o_1_5_glib_002(A))))) ) )).
fof(dt_o_1_6_lattice5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => m2_lattice5(o_1_6_lattice5(A),u1_struct_0(A),A,k16_lattice5(A)) ) )).
fof(dt_o_1_6_lopclset,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_6_lopclset(A),A) ) )).
fof(dt_o_1_6_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => m2_subset_1(o_1_6_rvsum_3(A),k4_ordinal1,k6_rvsum_3(A)) ) )).
fof(dt_o_1_6_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_relat_1(o_1_6_scmring3(A)) & v4_relat_1(o_1_6_scmring3(A),k4_ordinal1) & v5_relat_1(o_1_6_scmring3(A),u1_compos_1(k1_scmring2(A))) & v1_funct_1(o_1_6_scmring3(A)) & v1_partfun1(o_1_6_scmring3(A),k4_ordinal1) ) ) )).
fof(dt_o_1_6_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_6_waybel31(A)) & v2_waybel19(o_1_6_waybel31(A)) & m1_yellow_9(o_1_6_waybel31(A),A) ) ) )).
fof(dt_o_1_6_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v2_pre_topc(o_1_6_waybel33(A)) & v2_waybel19(o_1_6_waybel33(A)) & m1_yellow_9(o_1_6_waybel33(A),A) ) ) )).
fof(dt_o_1_6_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) ) => ( v5_waybel_4(o_1_6_waybel_4(A),A) & v6_waybel_4(o_1_6_waybel_4(A),A) & m1_subset_1(o_1_6_waybel_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_o_1_7_conlat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(o_1_7_conlat_1(A),A) ) )).
fof(dt_o_1_7_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v4_dilworth(A) & l1_orders_2(A) ) => m1_subset_1(o_1_7_dilworth(A),u1_struct_0(A)) ) )).
fof(dt_o_1_7_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => m1_subset_1(o_1_7_lopclset(A),k3_funct_2(u1_struct_0(A),k9_setfam_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A))) ) )).
fof(dt_o_1_7_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => m2_ltlaxio4(o_1_7_ltlaxio4(A),k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k9_ltlaxio4(A)) ) )).
fof(dt_o_1_7_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m2_subset_1(o_1_7_pua2mss1(A),k1_zfmisc_1(u1_struct_0(A)),k8_eqrel_1(u1_struct_0(A),k9_pua2mss1(A))) ) )).
fof(dt_o_1_7_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & v7_stacks_1(A) & l1_stacks_1(A) ) => m1_subset_1(o_1_7_stacks_1(A),u1_struct_0(k8_stacks_1(u1_struct_0(A)))) ) )).
fof(dt_o_1_7_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(o_1_7_waybel30(A)) & v2_pre_topc(o_1_7_waybel30(A)) & v1_waybel19(o_1_7_waybel30(A)) & m1_yellow_9(o_1_7_waybel30(A),A) ) ) )).
fof(dt_o_1_7_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_7_waybel31(A)) & m1_yellow_9(o_1_7_waybel31(A),A) ) ) )).
fof(dt_o_1_7_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v4_waybel11(o_1_7_waybel33(A)) & m1_yellow_9(o_1_7_waybel33(A),A) ) ) )).
fof(dt_o_1_7_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) ) => ( ~ v1_xboole_0(o_1_7_waybel_4(A)) & v1_waybel_0(o_1_7_waybel_4(A),A) & v12_waybel_0(o_1_7_waybel_4(A),A) & m1_subset_1(o_1_7_waybel_4(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(dt_o_1_8_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => m2_cat_1(o_1_8_cat_5(A),o_1_4_cat_5(A),o_1_4_cat_5(A)) ) )).
fof(dt_o_1_8_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( v9_glib_000(o_1_8_glib_004(A),A) & v3_glib_002(o_1_8_glib_004(A)) & v1_glib_003(o_1_8_glib_004(A)) & v4_glib_003(o_1_8_glib_004(A),A) & v1_glib_004(o_1_8_glib_004(A),A) & m1_glib_000(o_1_8_glib_004(A),A) ) ) )).
fof(dt_o_1_8_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => m1_huffman1(o_1_8_huffman1(A),A) ) )).
fof(dt_o_1_8_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(o_1_8_waybel30(A)) & v2_pre_topc(o_1_8_waybel30(A)) & v4_waybel11(o_1_8_waybel30(A)) & m1_yellow_9(o_1_8_waybel30(A),A) ) ) )).
fof(dt_o_1_8_waybel33,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel33(A) & l1_waybel_9(A) ) => ( v2_pre_topc(o_1_8_waybel33(A)) & v2_waybel19(o_1_8_waybel33(A)) & m1_yellow_9(o_1_8_waybel33(A),A) ) ) )).
fof(dt_o_1_9_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_xboole_0(o_1_9_brouwer3(A)) & m1_subset_1(o_1_9_brouwer3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) ) )).
fof(dt_o_1_9_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => m1_subset_1(o_1_9_cohsp_1(A),A) ) )).
fof(dt_o_1_9_topgen_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topgen_5))) => m1_subset_1(o_1_9_topgen_5(A),k2_topgen_1(k3_topgen_5,A)) ) )).
fof(dt_o_1_9_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ( v2_pre_topc(o_1_9_waybel30(A)) & v2_waybel19(o_1_9_waybel30(A)) & m1_yellow_9(o_1_9_waybel30(A),k3_yellow_3(A,A)) ) ) )).
fof(dt_o_2_0_absred_0,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) ) => m2_finseq_2(o_2_0_absred_0(A,B),B,k4_finseq_2(A,B)) ) )).
fof(dt_o_2_0_aff_4,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_aff_4(A,B),B) ) )).
fof(dt_o_2_0_afinsq_2,axiom,( ! [A] : ! [B] : m1_subset_1(o_2_0_afinsq_2(A,B),k3_xboole_0(k3_xboole_0(A,B),k4_ordinal1)) )).
fof(dt_o_2_0_afproj,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_afproj(A,B),B) ) )).
fof(dt_o_2_0_algspec1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => m1_algspec1(o_2_0_algspec1(A,B),k1_algspec1(u4_struct_0(A),B)) ) )).
fof(dt_o_2_0_altcat_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k7_altcat_1(A))) ) => m1_subset_1(o_2_0_altcat_3(A,B),B) ) )).
fof(dt_o_2_0_altcat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(o_2_0_altcat_4(A,B),k1_altcat_1(A,B,B)) ) )).
fof(dt_o_2_0_ami_wstd,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( v1_relat_1(o_2_0_ami_wstd(A,B)) & v4_relat_1(o_2_0_ami_wstd(A,B),u1_struct_0(k4_amistd_1(A))) & v1_funct_1(o_2_0_ami_wstd(A,B)) & v5_funct_1(o_2_0_ami_wstd(A,B),k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(o_2_0_ami_wstd(A,B),u1_struct_0(k4_amistd_1(A))) & v5_memstr_0(o_2_0_ami_wstd(A,B),A,k4_amistd_1(A),B) ) ) )).
fof(dt_o_2_0_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(o_2_0_amistd_1(A,B)) & v4_relat_1(o_2_0_amistd_1(A,B),u1_struct_0(B)) & v1_funct_1(o_2_0_amistd_1(A,B)) & v5_funct_1(o_2_0_amistd_1(A,B),k2_memstr_0(A,B)) & v1_partfun1(o_2_0_amistd_1(A,B),u1_struct_0(B)) ) ) )).
fof(dt_o_2_0_amistd_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_amistd_4(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(o_2_0_amistd_4(A,B)) & v4_relat_1(o_2_0_amistd_4(A,B),u1_struct_0(B)) & v1_funct_1(o_2_0_amistd_4(A,B)) & v5_funct_1(o_2_0_amistd_4(A,B),k2_memstr_0(A,B)) & v1_partfun1(o_2_0_amistd_4(A,B),u1_struct_0(B)) ) ) )).
fof(dt_o_2_0_amistd_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(o_2_0_amistd_5(A,B)) & v4_relat_1(o_2_0_amistd_5(A,B),k4_ordinal1) & v5_relat_1(o_2_0_amistd_5(A,B),u1_compos_1(B)) & v1_funct_1(o_2_0_amistd_5(A,B)) & v1_partfun1(o_2_0_amistd_5(A,B),k4_ordinal1) ) ) )).
fof(dt_o_2_0_autalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => m1_subset_1(o_2_0_autalg_1(A,B),u1_struct_0(k7_autalg_1(A,B))) ) )).
fof(dt_o_2_0_brouwer2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v3_pre_topc(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m2_subset_1(o_2_0_brouwer2(A,B),u1_struct_0(k15_euclid(A)),B) ) )).
fof(dt_o_2_0_brouwer3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( v1_funct_1(o_2_0_brouwer3(A,B)) & v1_funct_2(o_2_0_brouwer3(A,B),u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k15_euclid(A))) & v5_pre_topc(o_2_0_brouwer3(A,B),k1_pre_topc(k15_euclid(A),B),k15_euclid(A)) & m1_subset_1(o_2_0_brouwer3(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k15_euclid(A))))) ) ) )).
fof(dt_o_2_0_card_1,axiom,( ! [A] : ! [B] : m1_subset_1(o_2_0_card_1(A,B),k3_xboole_0(B,k1_tarski(A))) )).
fof(dt_o_2_0_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_cat_3(o_2_0_cat_3(A,B),A,B,k1_xboole_0) ) )).
fof(dt_o_2_0_cat_7,axiom,( ! [A] : ! [B] : ( ( v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) & v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( v1_funct_1(o_2_0_cat_7(A,B)) & v1_funct_2(o_2_0_cat_7(A,B),u1_struct_0(A),u1_struct_0(B)) & v16_cat_6(o_2_0_cat_7(A,B),A,B) & m1_subset_1(o_2_0_cat_7(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_o_2_0_cfunct_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => m1_subset_1(o_2_0_cfunct_1(A,B),k8_relset_1(A,k2_numbers,k2_cfunct_1(A,B),k1_tarski(k5_complex1))) ) )).
fof(dt_o_2_0_clvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_clvect_1(A,B),B) ) )).
fof(dt_o_2_0_compts_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_compts_1(A,B),B) ) )).
fof(dt_o_2_0_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => m1_dist_2(o_2_0_dist_2(A,B),A,B) ) )).
fof(dt_o_2_0_dynkin,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_dynkin(B,A) ) => m2_subset_1(o_2_0_dynkin(A,B),k1_zfmisc_1(A),B) ) )).
fof(dt_o_2_0_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k11_ens_1(A))) ) => m1_subset_1(o_2_0_ens_1(A,B),k13_ens_1(A,B)) ) )).
fof(dt_o_2_0_finset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(o_2_0_finset_1(A,B),B) ) )).
fof(dt_o_2_0_fintopo4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_fintopo4(A,B),B) ) )).
fof(dt_o_2_0_funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_2_0_funct_6(A,B),k1_funct_1(A,B)) ) )).
fof(dt_o_2_0_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_fvaluat1(B,A) ) => m1_subset_1(o_2_0_fvaluat1(A,B),k8_relset_1(u1_struct_0(A),k6_numbers,B,k1_tarski(k1_fvaluat1(k2_relset_1(k6_numbers,B))))) ) )).
fof(dt_o_2_0_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v4_glib_000(A) & v1_glib_002(A) & m3_glib_001(B,A) ) => ( v4_glib_001(o_2_0_glib_002(A,B),A) & m4_glib_001(o_2_0_glib_002(A,B),A,B) ) ) )).
fof(dt_o_2_0_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) => m1_subset_1(o_2_0_glib_004(A,B),k6_glib_004(A,B)) ) )).
fof(dt_o_2_0_goboard1,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_0_goboard1(A,B),k3_xboole_0(k10_xtuple_0(B),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_matrix_0(A))))) ) )).
fof(dt_o_2_0_goboard3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_0_goboard3(A,B),k3_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B))) ) )).
fof(dt_o_2_0_goboard4,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_0_goboard4(A,B),k3_xboole_0(k10_xtuple_0(B),k10_xtuple_0(A))) ) )).
fof(dt_o_2_0_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => m2_goedcpuc(o_2_0_goedcpuc(A,B),A,B) ) )).
fof(dt_o_2_0_gr_cy_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v8_struct_0(B) & m1_group_2(B,k1_uniroots(A)) ) => m1_subset_1(o_2_0_gr_cy_3(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_0_group_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_group_5(A,B),B) ) )).
fof(dt_o_2_0_group_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_0_group_8(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_0_hahnban,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => m1_subset_1(o_2_0_hahnban(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_0_hilbert4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k6_subset_1(A,k1_tarski(k1_xboole_0))) => m1_subset_1(o_2_0_hilbert4(A,B),B) ) )).
fof(dt_o_2_0_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m2_subset_1(o_2_0_interva1(A,B),k1_zfmisc_1(A),B) ) )).
fof(dt_o_2_0_jgraph_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => m1_subset_1(o_2_0_jgraph_3(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k2_relset_1(u1_struct_0(k15_euclid(2)),B),k2_relset_1(u1_struct_0(k15_euclid(2)),A))) ) )).
fof(dt_o_2_0_jgraph_7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => m1_subset_1(o_2_0_jgraph_7(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k2_relset_1(u1_struct_0(k15_euclid(2)),B),k2_relset_1(u1_struct_0(k15_euclid(2)),A))) ) )).
fof(dt_o_2_0_jordan20,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(B) ) => m1_subset_1(o_2_0_jordan20(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),A,k6_jordan6(B))) ) )).
fof(dt_o_2_0_kolmog01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ~ v1_xboole_0(o_2_0_kolmog01(A,B)) & v1_finset_1(o_2_0_kolmog01(A,B)) & m1_subset_1(o_2_0_kolmog01(A,B),k1_zfmisc_1(B)) ) ) )).
fof(dt_o_2_0_kurato_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => m1_connsp_2(o_2_0_kurato_2(A,B),k15_euclid(A),B) ) )).
fof(dt_o_2_0_latsubgr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) ) => m2_subset_1(o_2_0_latsubgr(A,B),k1_group_3(A),B) ) )).
fof(dt_o_2_0_lexbfs,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k15_pre_poly(k4_ordinal1))) & v1_relat_1(B) & v1_funct_1(B) ) => m1_subset_1(o_2_0_lexbfs(A,B),k8_relat_1(B,k6_domain_1(k1_zfmisc_1(k4_ordinal1),k22_pre_poly(k4_ordinal1,k4_lexbfs(k4_ordinal1,k4_bagorder(k4_ordinal1),A))))) ) )).
fof(dt_o_2_0_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v2_margrel1(B) & v3_margrel1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => m1_subset_1(o_2_0_margrel1(A,B),k9_xtuple_0(B)) ) )).
fof(dt_o_2_0_metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_metrizts(A,B),B) ) )).
fof(dt_o_2_0_midsp_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_midsp_3(B,A) ) => m1_subset_1(o_2_0_midsp_3(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_0_mssublat,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & v1_unialg_1(B) & v4_unialg_1(B) & m1_unialg_2(B,A) ) => m1_subset_1(o_2_0_mssublat(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_0_msualg_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => m2_pboole(o_2_0_msualg_9(A,B),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k7_msafree2(A))) ) )).
fof(dt_o_2_0_nattra_1,axiom,( ! [A] : ! [B] : m1_subset_1(o_2_0_nattra_1(A,B),u1_struct_0(k3_cat_1(B,A))) )).
fof(dt_o_2_0_ndiff_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_nfcont_1(o_2_0_ndiff_7(A,B),A,B) ) )).
fof(dt_o_2_0_ordinal1,axiom,( ! [A] : ! [B] : ( ( v1_ordinal1(A) & v3_ordinal1(B) ) => m1_subset_1(o_2_0_ordinal1(A,B),k6_subset_1(B,A)) ) )).
fof(dt_o_2_0_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(o_2_0_pboole(A,B)) & v4_relat_1(o_2_0_pboole(A,B),A) & v1_funct_1(o_2_0_pboole(A,B)) & v5_funct_1(o_2_0_pboole(A,B),B) & v1_partfun1(o_2_0_pboole(A,B),A) ) ) )).
fof(dt_o_2_0_pcomps_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_pcomps_1(A,B),B) ) )).
fof(dt_o_2_0_pencil_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & v14_pencil_1(B) ) => m1_subset_1(o_2_0_pencil_3(A,B),u1_struct_0(k5_pencil_1(A,B))) ) )).
fof(dt_o_2_0_petri_df,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_rlaffin3(o_2_0_petri_df(A,B),B) ) )).
fof(dt_o_2_0_polynom2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => m1_subset_1(o_2_0_polynom2(A,B),k3_polynom1(k15_pre_poly(A),B,k8_polynom1(A,B))) ) )).
fof(dt_o_2_0_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k15_pre_poly(k1_xboole_0),u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_xboole_0),u1_struct_0(A)))) ) => m1_subset_1(o_2_0_polynom7(A,B),k3_polynom1(k15_pre_poly(k1_xboole_0),A,B)) ) )).
fof(dt_o_2_0_polyred,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) ) => m2_subset_1(o_2_0_polyred(A,B),k15_pre_poly(A),B) ) )).
fof(dt_o_2_0_poset_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_0_poset_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_0_pre_topc,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_pre_topc(A,B),B) ) )).
fof(dt_o_2_0_ranknull,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ( v2_vectsp_7(o_2_0_ranknull(A,B),A,B) & m1_subset_1(o_2_0_ranknull(A,B),k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_o_2_0_rearran1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_2_0_rearran1(A,B),k3_xboole_0(k10_xtuple_0(A),k1_tarski(B))) ) )).
fof(dt_o_2_0_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => m1_subset_1(o_2_0_relat_1(A,B),k7_relat_1(B,A)) ) )).
fof(dt_o_2_0_rfunct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_2_0_rfunct_3(A,B),k3_xboole_0(k10_xtuple_0(A),k1_tarski(B))) ) )).
fof(dt_o_2_0_rlsub_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_rlsub_1(A,B),B) ) )).
fof(dt_o_2_0_rmod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => m1_subset_1(o_2_0_rmod_2(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_0_rpr_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_card_1(B,1) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m2_subset_1(o_2_0_rpr_1(A,B),A,B) ) )).
fof(dt_o_2_0_rusub_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => m1_rusub_3(o_2_0_rusub_4(A,B),B) ) )).
fof(dt_o_2_0_setfam_1,axiom,( ! [A] : ! [B] : m1_subset_1(o_2_0_setfam_1(A,B),k3_xboole_0(A,B)) )).
fof(dt_o_2_0_setwiseo,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k5_finsub_1(A)) ) => m1_subset_1(o_2_0_setwiseo(A,B),B) ) )).
fof(dt_o_2_0_termord,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => m1_subset_1(o_2_0_termord(A,B),k4_finseq_1(B)) ) )).
fof(dt_o_2_0_tietze_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v1_funct_1(o_2_0_tietze_2(A,B)) & v1_funct_2(o_2_0_tietze_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(o_2_0_tietze_2(A,B),A,B) & m1_subset_1(o_2_0_tietze_2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_o_2_0_topalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v3_funct_1(o_2_0_topalg_1(A,B)) & m1_borsuk_2(o_2_0_topalg_1(A,B),A,B,B) ) ) )).
fof(dt_o_2_0_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v3_funct_1(o_2_0_topalg_6(A,B)) & m1_borsuk_2(o_2_0_topalg_6(A,B),A,B,B) ) ) )).
fof(dt_o_2_0_topgen_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_yellow_8(o_2_0_topgen_1(A,B),A,B) & v1_tops_2(o_2_0_topgen_1(A,B),A) & m1_subset_1(o_2_0_topgen_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_o_2_0_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_0_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,k19_euclid(k5_numbers,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),B))) ) )).
fof(dt_o_2_0_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_tops_1(A,B),k1_tops_1(A,k2_tops_1(A,k2_tops_1(A,B)))) ) )).
fof(dt_o_2_0_tops_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_0_tops_2(A,B),k5_setfam_1(u1_struct_0(A),B)) ) )).
fof(dt_o_2_0_unialg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_unialg_3(A))) ) => m2_subset_1(o_2_0_unialg_3(A,B),k1_unialg_3(A),B) ) )).
fof(dt_o_2_0_vectsp11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_polynom5(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => m1_matrlin(o_2_0_vectsp11(A,B),A,B) ) )).
fof(dt_o_2_0_vectsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => m1_subset_1(o_2_0_vectsp_4(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_0_vectsp_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v2_vectsp_7(o_2_0_vectsp_9(A,B),A,B) & m1_subset_1(o_2_0_vectsp_9(A,B),k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(dt_o_2_0_waybel20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_waybel20(A,B),B) ) )).
fof(dt_o_2_0_waybel25,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_0_waybel25(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_0_waybel_7,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_0_waybel_7(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_0_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => m1_subset_1(o_2_0_wellord1(A,B),k1_wellord1(B,A)) ) )).
fof(dt_o_2_0_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) => m2_subset_1(o_2_0_yellow_1(A,B),u1_struct_0(k2_yellow_1(A)),B) ) )).
fof(dt_o_2_0_yellow_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_0_yellow_3(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_0_zf_lang1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => m1_subset_1(o_2_0_zf_lang1(A,B),k3_xboole_0(B,A)) ) )).
fof(dt_o_2_0_zfmodel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(o_2_0_zfmodel1(A,B),B) ) )).
fof(dt_o_2_0_zmodul01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_0_zmodul01(A,B),B) ) )).
fof(dt_o_2_0_zmodul06,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) & v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) ) => m1_zmodul03(o_2_0_zmodul06(A,B),B) ) )).
fof(dt_o_2_10_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_glib_001(B,A) ) => m2_glib_000(o_2_10_glib_002(A,B),A,k6_glib_000(A),k6_subset_1(k7_glib_000(A),k1_tarski(o_2_9_glib_002(A,B)))) ) )).
fof(dt_o_2_10_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => m1_subset_1(o_2_10_heyting1(A,B),a_2_9_heyting1(A,B)) ) )).
fof(dt_o_2_10_jordan2c,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m1_subset_1(o_2_10_jordan2c(A,B),B) ) )).
fof(dt_o_2_10_waybel21,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_waybel_3(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & v4_waybel_0(B,A) & v3_lattice3(B) & m1_yellow_0(B,A) ) => ( v2_pre_topc(o_2_10_waybel21(A,B)) & v2_waybel19(o_2_10_waybel21(A,B)) & m1_yellow_9(o_2_10_waybel21(A,B),B) ) ) )).
fof(dt_o_2_10_waybel30,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(o_2_10_waybel30(A,B)) & v2_pre_topc(o_2_10_waybel30(A,B)) & v2_waybel19(o_2_10_waybel30(A,B)) & m1_yellow_9(o_2_10_waybel30(A,B),k3_yellow_3(A,B)) ) ) )).
fof(dt_o_2_10_waybel31,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v2_pre_topc(B) & v2_waybel19(B) & m1_yellow_9(B,A) ) => ( v4_waybel11(o_2_10_waybel31(A,B)) & m1_yellow_9(o_2_10_waybel31(A,B),B) ) ) )).
fof(dt_o_2_10_waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_10_waybel_0(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_10_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_yellow19(o_2_10_yellow19(A,B),A,B) ) )).
fof(dt_o_2_11_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => m1_subset_1(o_2_11_heyting1(A,B),k10_normform(A,B,k6_heyting1(A,B))) ) )).
fof(dt_o_2_11_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_11_ideal_1(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_11_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_11_lattice3(A,B),B) ) )).
fof(dt_o_2_11_waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_11_waybel_0(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_12_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)))) ) => m1_subset_1(o_2_12_conlat_2(A,B),a_2_1_conlat_2(A,B)) ) )).
fof(dt_o_2_12_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(o_2_12_waybel11(A,B),u1_struct_0(k4_waybel11(A,B))) ) )).
fof(dt_o_2_12_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v3_waybel_7(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => m2_subset_1(o_2_12_yellow19(A,B),u1_struct_0(k2_yellow_1(k2_struct_0(A))),B) ) )).
fof(dt_o_2_13_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(A)))) ) => m2_subset_1(o_2_13_conlat_2(A,B),k1_zfmisc_1(u4_struct_0(A)),B) ) )).
fof(dt_o_2_13_waybel33,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel33(A) & l1_waybel_9(A) & m1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) ) => m1_subset_1(o_2_13_waybel33(A,B),B) ) )).
fof(dt_o_2_13_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v3_waybel_7(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => m1_subset_1(o_2_13_yellow19(A,B),k9_yellow_6(A,k3_yellow19(A,k2_struct_0(A),B))) ) )).
fof(dt_o_2_14_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => m1_subset_1(o_2_14_abcmiz_1(A,B),a_2_2_abcmiz_1(A,B)) ) )).
fof(dt_o_2_14_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => m3_conlat_1(o_2_14_conlat_2(A,B),A,B) ) )).
fof(dt_o_2_14_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v15_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_14_latticea(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_14_waybel11,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_14_waybel11(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_15_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => m1_subset_1(o_2_15_abcmiz_1(A,B),k3_card_3(k2_msafree3(A,B))) ) )).
fof(dt_o_2_16_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => m1_subset_1(o_2_16_conlat_2(A,B),a_2_3_conlat_2(A,B)) ) )).
fof(dt_o_2_16_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_16_ideal_1(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_18_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => m1_subset_1(o_2_18_conlat_2(A,B),a_2_2_conlat_2(A,B)) ) )).
fof(dt_o_2_1_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v6_membered(A) & v1_finset_1(B) & v6_membered(B) ) => m1_subset_1(o_2_1_afinsq_2(A,B),k3_xboole_0(A,B)) ) )).
fof(dt_o_2_1_altcat_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(B,u1_struct_0(k7_altcat_1(A))) ) => m1_subset_1(o_2_1_altcat_3(A,B),B) ) )).
fof(dt_o_2_1_ami_wstd,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(o_2_1_ami_wstd(A,B)) & v4_relat_1(o_2_1_ami_wstd(A,B),u1_struct_0(B)) & v1_funct_1(o_2_1_ami_wstd(A,B)) & v5_funct_1(o_2_1_ami_wstd(A,B),k2_memstr_0(A,B)) & v1_partfun1(o_2_1_ami_wstd(A,B),u1_struct_0(B)) ) ) )).
fof(dt_o_2_1_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(o_2_1_amistd_1(A,B)) & v4_relat_1(o_2_1_amistd_1(A,B),k4_ordinal1) & v5_relat_1(o_2_1_amistd_1(A,B),u1_compos_1(B)) & v1_funct_1(o_2_1_amistd_1(A,B)) & v1_partfun1(o_2_1_amistd_1(A,B),k4_ordinal1) ) ) )).
fof(dt_o_2_1_amistd_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(o_2_1_amistd_4(A,B)) & v4_relat_1(o_2_1_amistd_4(A,B),u1_struct_0(B)) & v1_funct_1(o_2_1_amistd_4(A,B)) & v5_funct_1(o_2_1_amistd_4(A,B),k2_memstr_0(A,B)) & v1_partfun1(o_2_1_amistd_4(A,B),u1_struct_0(B)) ) ) )).
fof(dt_o_2_1_bintree1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_trees_1(B,A) ) => m1_subset_1(o_2_1_bintree1(A,B),k1_trees_2(A,B)) ) )).
fof(dt_o_2_1_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => m1_subset_1(o_2_1_card_3(A,B),k1_funct_1(A,B)) ) )).
fof(dt_o_2_1_card_lar,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_card_lar(o_2_1_card_lar(A,B),A,B) ) )).
fof(dt_o_2_1_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => m2_cat_3(o_2_1_cat_3(A,B),A,B,k1_xboole_0) ) )).
fof(dt_o_2_1_cat_7,axiom,( ! [A] : ! [B] : ( ( v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) & v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( v1_funct_1(o_2_1_cat_7(A,B)) & v1_funct_2(o_2_1_cat_7(A,B),u1_struct_0(B),u1_struct_0(A)) & v16_cat_6(o_2_1_cat_7(A,B),B,A) & m1_subset_1(o_2_1_cat_7(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_o_2_1_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ( v5_glib_001(o_2_1_chord(A,B),A) & m4_glib_001(o_2_1_chord(A,B),A,B) ) ) )).
fof(dt_o_2_1_compts_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_compts_1(A,B),B) ) )).
fof(dt_o_2_1_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => m1_dist_2(o_2_1_dist_2(A,B),A,B) ) )).
fof(dt_o_2_1_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(o_2_1_eqrel_1(A,B),k7_eqrel_1(A,B)) ) )).
fof(dt_o_2_1_equation,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v2_relat_1(o_2_1_equation(A,B)) & v2_finset_1(o_2_1_equation(A,B)) & m3_pboole(o_2_1_equation(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) ) )).
fof(dt_o_2_1_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_1_filter_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_1_finseq_3,axiom,( ! [A] : ! [B] : m1_subset_1(o_2_1_finseq_3(A,B),k3_xboole_0(A,B)) )).
fof(dt_o_2_1_finset_1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k1_ordinal1(A)))) ) => m1_subset_1(o_2_1_finset_1(A,B),B) ) )).
fof(dt_o_2_1_frechet,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_1_frechet(A,B),B) ) )).
fof(dt_o_2_1_frechet2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(o_2_1_frechet2(A,B),k2_frechet(A,B)) ) )).
fof(dt_o_2_1_funct_2,axiom,( ! [A] : ! [B] : m1_subset_1(o_2_1_funct_2(A,B),k3_xboole_0(A,B)) )).
fof(dt_o_2_1_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) ) => m2_glib_000(o_2_1_glib_002(A,B),A,B,k21_glib_000(A,B)) ) )).
fof(dt_o_2_1_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) => m1_subset_1(o_2_1_glib_004(A,B),k12_glib_004(A,B)) ) )).
fof(dt_o_2_1_goboard1,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_1_goboard1(A,B),k3_xboole_0(k10_xtuple_0(B),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,1)))) ) )).
fof(dt_o_2_1_goboard3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_1_goboard3(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k3_topreal1(2,B))) ) )).
fof(dt_o_2_1_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => m3_goedcpuc(o_2_1_goedcpuc(A,B),A,B) ) )).
fof(dt_o_2_1_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) ) => m1_subset_1(o_2_1_graph_3(A,B),a_2_0_graph_3(A,B)) ) )).
fof(dt_o_2_1_groeb_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) ) => m1_subset_1(o_2_1_groeb_1(A,B),B) ) )).
fof(dt_o_2_1_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_group_2(A,B),k1_group_2(A,B)) ) )).
fof(dt_o_2_1_hahnban,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_partfun1(u1_struct_0(A),k1_numbers))) ) => m2_subset_1(o_2_1_hahnban(A,B),k4_partfun1(u1_struct_0(A),k1_numbers),B) ) )).
fof(dt_o_2_1_jgraph_7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => m1_subset_1(o_2_1_jgraph_7(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B))) ) )).
fof(dt_o_2_1_lexbfs,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v6_membered(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => m1_subset_1(o_2_1_lexbfs(A,B),k8_relat_1(B,k1_tarski(k1_xxreal_2(A)))) ) )).
fof(dt_o_2_1_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_finseq_2(B,A) ) => m1_ltlaxio4(o_2_1_ltlaxio4(A,B),B) ) )).
fof(dt_o_2_1_mfold_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_rlvect_1(B) & m1_rlsub_1(B,k15_euclid(A)) ) => m1_rlvect_3(o_2_1_mfold_2(A,B),B) ) )).
fof(dt_o_2_1_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k17_monoid_1(A))) ) => m1_subset_1(o_2_1_monoid_1(A,B),k8_relat_1(B,k6_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers)))) ) )).
fof(dt_o_2_1_orders_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => m1_subset_1(o_2_1_orders_1(A,B),k1_funct_1(k6_partfun1(A),B)) ) )).
fof(dt_o_2_1_pboole,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( v1_relat_1(o_2_1_pboole(A,B)) & v4_relat_1(o_2_1_pboole(A,B),A) & v5_relat_1(o_2_1_pboole(A,B),B) & v1_funct_1(o_2_1_pboole(A,B)) & v1_partfun1(o_2_1_pboole(A,B),A) ) ) )).
fof(dt_o_2_1_pencil_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => m1_subset_1(o_2_1_pencil_3(A,B),u1_struct_0(k5_pencil_1(A,B))) ) )).
fof(dt_o_2_1_rearran1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_1_rearran1(A,B),k1_funct_1(B,1)) ) )).
fof(dt_o_2_1_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => m1_subset_1(o_2_1_relat_1(A,B),k8_relat_1(B,A)) ) )).
fof(dt_o_2_1_rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ( v1_rlvect_1(o_2_1_rlsub_2(A,B)) & m1_rlsub_2(o_2_1_rlsub_2(A,B),A,B) ) ) )).
fof(dt_o_2_1_rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_rlvect_3(A,B),B) ) )).
fof(dt_o_2_1_rlvect_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => m1_rlvect_3(o_2_1_rlvect_5(A,B),B) ) )).
fof(dt_o_2_1_rpr_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_1_rpr_1(A,B),B) ) )).
fof(dt_o_2_1_rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ( v1_bhsp_1(o_2_1_rusub_2(A,B)) & m1_rusub_2(o_2_1_rusub_2(A,B),A,B) ) ) )).
fof(dt_o_2_1_rusub_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_rusub_3(A,B),B) ) )).
fof(dt_o_2_1_rusub_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => m1_rusub_3(o_2_1_rusub_4(A,B),B) ) )).
fof(dt_o_2_1_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(o_2_1_setfam_1(A,B),B) ) )).
fof(dt_o_2_1_simplex2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_1_simplex2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_1_tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_tbsp_1(A,B),B) ) )).
fof(dt_o_2_1_tdlat_3,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_tdlat_3(A,B),B) ) )).
fof(dt_o_2_1_topreal1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_1(B,u1_struct_0(k15_euclid(A))) ) => m1_subset_1(o_2_1_topreal1(A,B),a_2_0_topreal1(A,B)) ) )).
fof(dt_o_2_1_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_1_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),B,k19_euclid(k5_numbers,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),A))) ) )).
fof(dt_o_2_1_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_tops_1(A,B),B) ) )).
fof(dt_o_2_1_tops_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_1_tops_2(A,B),B) ) )).
fof(dt_o_2_1_waybel28,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_1_waybel28(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_1_waybel34,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v4_waybel11(o_2_1_waybel34(A,B)) & m1_yellow_9(o_2_1_waybel34(A,B),k1_yellow_2(A,A,B)) ) ) )).
fof(dt_o_2_1_waybel_7,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_1_waybel_7(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_1_yellow13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_yellow_8(o_2_1_yellow13(A,B),A,B) & v1_tops_2(o_2_1_yellow13(A,B),A) & m1_subset_1(o_2_1_yellow13(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_o_2_1_yellow_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_1_yellow_3(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_1_zmodul03,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_zmodul02(o_2_1_zmodul03(A,B),A,B) ) )).
fof(dt_o_2_20_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_20_ideal_1(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_20_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_20_waybel11(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_26_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_algstr_1(A) & v1_int_3(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_26_ideal_1(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_27_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & v6_ideal_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_27_ideal_1(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_ami_wstd,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(o_2_2_ami_wstd(A,B)) & v4_relat_1(o_2_2_ami_wstd(A,B),k4_ordinal1) & v5_relat_1(o_2_2_ami_wstd(A,B),u1_compos_1(B)) & v1_funct_1(o_2_2_ami_wstd(A,B)) & v1_partfun1(o_2_2_ami_wstd(A,B),k4_ordinal1) ) ) )).
fof(dt_o_2_2_card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) ) => m2_subset_1(o_2_2_card_fil(A,B),k1_zfmisc_1(A),B) ) )).
fof(dt_o_2_2_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_cat_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_dickson(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_subset_1(o_2_2_eqrel_1(A,B),B) ) )).
fof(dt_o_2_2_equation,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v3_msualg_1(o_2_2_equation(A,B),A) & v4_msualg_1(o_2_2_equation(A,B),A) & v3_msafree2(o_2_2_equation(A,B),A) & m1_msualg_2(o_2_2_equation(A,B),A,B) ) ) )).
fof(dt_o_2_2_exchsort,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => m1_subset_1(o_2_2_exchsort(A,B),k6_subset_1(A,B)) ) )).
fof(dt_o_2_2_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_filter_0(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => m1_subset_1(o_2_2_finseq_3(A,B),k3_xboole_0(k1_tarski(k1_nat_1(k3_finseq_1(A),1)),k8_relat_1(A,B))) ) )).
fof(dt_o_2_2_fintopo6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_2_fintopo6(A,B),B) ) )).
fof(dt_o_2_2_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(o_2_2_fomodel4(A,B),k15_fomodel1(A),k9_subset_1(k15_fomodel1(A),k10_xtuple_0(B),k16_fomodel1(A))) ) )).
fof(dt_o_2_2_frechet,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & v1_xreal_0(B) ) => m1_subset_1(o_2_2_frechet(A,B),k9_subset_1(u1_struct_0(k3_topmetr),k2_rcomp_1(k6_xcmplx_0(B,k7_xcmplx_0(1,4)),k2_xcmplx_0(B,k7_xcmplx_0(1,4))),A)) ) )).
fof(dt_o_2_2_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m2_glib_000(o_2_2_glib_002(A,B),A,k1_glib_002(A,B),k21_glib_000(A,k1_glib_002(A,B))) ) )).
fof(dt_o_2_2_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => m2_goedcpuc(o_2_2_goedcpuc(A,B),A,k1_nat_1(B,1)) ) )).
fof(dt_o_2_2_groeb_1,axiom,( ! [A] : ! [B] : m1_subset_1(o_2_2_groeb_1(A,B),k3_xboole_0(A,B)) )).
fof(dt_o_2_2_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_2_group_2(A,B),B) ) )).
fof(dt_o_2_2_hahnban,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k4_partfun1(u1_struct_0(A),k1_numbers)) ) => m1_subset_1(o_2_2_hahnban(A,B),k9_xtuple_0(B)) ) )).
fof(dt_o_2_2_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_ideal_1(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & v3_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => m2_ltlaxio4(o_2_2_ltlaxio4(A,B),k1_hilbert1,k3_ltlaxio4(k11_ltlaxio4(A,B))) ) )).
fof(dt_o_2_2_matrix_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k5_finsub_1(k9_matrix_1(A))) ) => m1_subset_1(o_2_2_matrix_7(A,B),B) ) )).
fof(dt_o_2_2_matrixj2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_polynom5(B) & l6_algstr_0(B) ) => m1_matrlin(o_2_2_matrixj2(A,B),B,k6_prvect_1(B,A)) ) )).
fof(dt_o_2_2_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_2_monoid_1(A,B),B) ) )).
fof(dt_o_2_2_msscyc_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v3_msafree2(B,A) & l3_msualg_1(B,A) ) => ( v2_relat_1(o_2_2_msscyc_2(A,B)) & v2_finset_1(o_2_2_msscyc_2(A,B)) & m1_msafree(o_2_2_msscyc_2(A,B),A,B) ) ) )).
fof(dt_o_2_2_mycielsk,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_eqrel_1(B,A) ) => m1_subset_1(o_2_2_mycielsk(A,B),B) ) )).
fof(dt_o_2_2_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ( v2_relat_1(o_2_2_pencil_1(A,B)) & v13_pencil_1(o_2_2_pencil_1(A,B)) & m3_pboole(o_2_2_pencil_1(A,B),A,k12_pralg_1(A,B)) ) ) )).
fof(dt_o_2_2_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) ) => m2_subset_1(o_2_2_polynom7(A,B),k15_pre_poly(A),B) ) )).
fof(dt_o_2_2_ramsey_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_eqrel_1(B,k3_group_10(A,2)) ) => m1_subset_1(o_2_2_ramsey_1(A,B),B) ) )).
fof(dt_o_2_2_rearran1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_2_rearran1(A,B),k1_funct_1(k2_rearran1(A,B),1)) ) )).
fof(dt_o_2_2_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_ring_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_rlaffin3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m2_rlaffin3(o_2_2_rlaffin3(A,B),k15_euclid(A),B) ) )).
fof(dt_o_2_2_rlvect_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_rlvect_5(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => m1_rlvect_3(o_2_2_rlvect_5(A,B),B) ) )).
fof(dt_o_2_2_tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_2_tbsp_1(A,B),B) ) )).
fof(dt_o_2_2_topgen_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_2_topgen_4(A,B),B) ) )).
fof(dt_o_2_2_topgen_5,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,k3_topmetr) ) => ( v1_funct_1(o_2_2_topgen_5(A,B)) & v1_funct_2(o_2_2_topgen_5(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(o_2_2_topgen_5(A,B),A,B) & m1_subset_1(o_2_2_topgen_5(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) )).
fof(dt_o_2_2_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_2_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,k19_euclid(k5_numbers,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,1),B))) ) )).
fof(dt_o_2_2_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_2_tops_1(A,B),k1_tops_1(A,k2_tops_1(A,B))) ) )).
fof(dt_o_2_2_waybel10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_2_waybel10(A,B),B) ) )).
fof(dt_o_2_2_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( v2_pre_topc(o_2_2_waybel19(A,B)) & v1_waybel19(o_2_2_waybel19(A,B)) & m1_yellow_9(o_2_2_waybel19(A,B),k3_yellow_3(A,B)) ) ) )).
fof(dt_o_2_2_waybel21,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_waybel21(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_waybel34(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_waybel_3(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_waybel_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => m1_subset_1(o_2_2_waybel_5(A,B),k1_funct_1(B,o_1_0_waybel_5(A))) ) )).
fof(dt_o_2_2_waybel_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_2_waybel_7(A,B),B) ) )).
fof(dt_o_2_2_yellow_4,axiom,( ! [A] : ! [B] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_2_yellow_4(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_2_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_2_yellow_6(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_2_zf_fund1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m2_subset_1(o_2_2_zf_fund1(A,B),A,B) ) )).
fof(dt_o_2_2_zmodul04,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_zmodul03(B) & m1_zmodul01(B,A) ) => m1_zmodul03(o_2_2_zmodul04(A,B),B) ) )).
fof(dt_o_2_3_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => m1_subset_1(o_2_3_card_3(A,B),k4_card_3(B)) ) )).
fof(dt_o_2_3_card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m2_card_fil(B,A) ) => m2_subset_1(o_2_3_card_fil(A,B),k1_zfmisc_1(A),B) ) )).
fof(dt_o_2_3_eqrel_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_3_eqrel_1(A,B),B) ) )).
fof(dt_o_2_3_euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) ) => m1_subset_1(o_2_3_euclid_7(A,B),B) ) )).
fof(dt_o_2_3_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_3_filter_2(A,B),u1_struct_0(k10_filter_2(A,B))) ) )).
fof(dt_o_2_3_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k16_fomodel1(A))) ) => m2_subset_1(o_2_3_fomodel3(A,B),k16_fomodel1(A),B) ) )).
fof(dt_o_2_3_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_002(A) & m1_subset_1(B,k6_glib_000(A)) ) => m2_glib_000(o_2_3_glib_002(A,B),A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) ) )).
fof(dt_o_2_3_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) => m1_subset_1(o_2_3_glib_004(A,B),k6_glib_004(A,B)) ) )).
fof(dt_o_2_3_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k9_graph_3(A))) ) => m1_graph_3(o_2_3_graph_3(A,B),u4_struct_0(A),k9_graph_3(A),B) ) )).
fof(dt_o_2_3_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_3_group_2(A,B),B) ) )).
fof(dt_o_2_3_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_3_ideal_1(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_3_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & v3_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m2_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k8_ltlaxio4(A)) ) => m2_ltlaxio4(o_2_3_ltlaxio4(A,B),k1_hilbert1,k3_ltlaxio4(k5_ltlaxio4(B))) ) )).
fof(dt_o_2_3_matroid0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => m1_subset_1(o_2_3_matroid0(A,B),B) ) )).
fof(dt_o_2_3_modal_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & m1_trees_1(B,k9_xtuple_0(A)) ) => m1_subset_1(o_2_3_modal_1(A,B),k1_trees_2(k9_xtuple_0(A),B)) ) )).
fof(dt_o_2_3_openlatt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_3_openlatt(A,B),B) ) )).
fof(dt_o_2_3_petri_df,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v4_petri_df(A) & l1_petri(A) & v1_finseq_6(B,k2_net_1(A)) & v1_jordan23(B) & v2_petri_df(B,A) & m2_finseq_1(B,k2_net_1(A)) ) => m2_rlaffin3(o_2_3_petri_df(A,B),A,k2_petri_df(A,B)) ) )).
fof(dt_o_2_3_polynom7,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) ) => m2_subset_1(o_2_3_polynom7(A,B),k15_pre_poly(A),B) ) )).
fof(dt_o_2_3_pua2mss1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k10_eqrel_1(A)) => m1_subset_1(o_2_3_pua2mss1(A,B),k4_card_3(B)) ) )).
fof(dt_o_2_3_ramsey_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_3_ramsey_1(A,B),k3_group_10(B,2)) ) )).
fof(dt_o_2_3_simplex2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m2_rlaffin3(o_2_3_simplex2(A,B),k15_euclid(A),B) ) )).
fof(dt_o_2_3_topgen_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_connsp_2(o_2_3_topgen_4(A,B),A,B) ) )).
fof(dt_o_2_3_topgen_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m2_subset_1(o_2_3_topgen_5(A,B),k1_zfmisc_1(u1_struct_0(A)),B) ) )).
fof(dt_o_2_3_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_3_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,k19_euclid(1,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),B))) ) )).
fof(dt_o_2_3_waybel21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v7_waybel_0(B) & v8_waybel_0(B,A) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_3_waybel21(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_3_waybel32,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_3_waybel32(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_3_waybel_3,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_3_waybel_3(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_3_waybel_4,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k3_waybel_4(A))))) ) => m2_subset_1(o_2_3_waybel_4(A,B),u1_struct_0(k1_yellow_1(k3_waybel_4(A))),B) ) )).
fof(dt_o_2_3_waybel_7,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_3_waybel_7(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_3_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_3_yellow19(A,B),k7_subset_1(u1_struct_0(A),B,k1_tops_1(A,B))) ) )).
fof(dt_o_2_3_yellow_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_3_yellow_4(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_4_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m1_chord(o_2_4_chord(A,B),A,k6_domain_1(k6_glib_000(A),B)) ) )).
fof(dt_o_2_4_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_4_conlat_1(A,B),B) ) )).
fof(dt_o_2_4_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => m1_subset_1(o_2_4_cqc_sim1(A,B),k24_qc_lang1(A,B)) ) )).
fof(dt_o_2_4_finseq_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_finseq_2(B,A) ) => m2_finseq_2(o_2_4_finseq_3(A,B),A,B) ) )).
fof(dt_o_2_4_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k16_fomodel1(A))) ) => m2_subset_1(o_2_4_fomodel4(A,B),k16_fomodel1(A),B) ) )).
fof(dt_o_2_4_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_001(B,A) & m3_glib_001(B,A) ) => ( v5_glib_001(o_2_4_glib_001(A,B),A) & m4_glib_001(o_2_4_glib_001(A,B),A,B) ) ) )).
fof(dt_o_2_4_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v1_glib_002(A) & m1_subset_1(B,k6_glib_000(A)) ) => m2_glib_000(o_2_4_glib_002(A,B),A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) ) )).
fof(dt_o_2_4_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => m1_subset_1(o_2_4_glib_004(A,B),k12_glib_004(A,k15_glib_004(A,k16_glib_004(A),B))) ) )).
fof(dt_o_2_4_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_4_group_2(A,B),k2_group_2(A,B,k1_subset_1(u1_struct_0(A)))) ) )).
fof(dt_o_2_4_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_4_group_3(A,B),B) ) )).
fof(dt_o_2_4_jgraph_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => m1_subset_1(o_2_4_jgraph_2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B))) ) )).
fof(dt_o_2_4_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_4_latticea(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_4_mathmorp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m2_subset_1(o_2_4_mathmorp(A,B),u1_struct_0(k15_euclid(A)),B) ) )).
fof(dt_o_2_4_matroid0,axiom,( ! [A] : ! [B] : ( ( v4_taxonom2(A) & m1_subset_1(B,A) ) => m1_subset_1(o_2_4_matroid0(A,B),B) ) )).
fof(dt_o_2_4_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => m1_subset_1(o_2_4_msafree5(A,B),k4_finseq_1(k1_msualg_1(A,B))) ) )).
fof(dt_o_2_4_tex_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_4_tex_1(A,B),k6_subset_1(A,B)) ) )).
fof(dt_o_2_4_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_tops_2(o_2_4_topgen_2(A,B),A) & v1_yellow_8(o_2_4_topgen_2(A,B),A,B) & m1_subset_1(o_2_4_topgen_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(dt_o_2_4_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_4_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,k19_euclid(k5_numbers,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),B))) ) )).
fof(dt_o_2_4_treal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => m1_subset_1(o_2_4_treal_1(A,B),k9_subset_1(k1_numbers,A,B)) ) )).
fof(dt_o_2_4_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_trees_9(A))) ) => m2_subset_1(o_2_4_trees_9(A,B),k3_trees_9(A),B) ) )).
fof(dt_o_2_4_waybel_3,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_4_waybel_3(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_4_waybel_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_4_waybel_4(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_4_waybel_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_4_waybel_9(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_4_weddwitt,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) ) => m2_funct_2(o_2_4_weddwitt(A,B),A,B,k9_funct_2(A,B)) ) )).
fof(dt_o_2_4_yellow_2,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_4_yellow_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_4_zf_fund1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) ) => m1_subset_1(o_2_4_zf_fund1(A,B),a_2_3_zf_fund1(A,B)) ) )).
fof(dt_o_2_5_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => m2_finseq_2(o_2_5_aofa_a00(A,B),A,k4_finseq_2(B,A)) ) )).
fof(dt_o_2_5_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) ) => ( v1_relat_1(o_2_5_aofa_l00(A,B)) & v4_relat_1(o_2_5_aofa_l00(A,B),u1_struct_0(B)) & v1_funct_1(o_2_5_aofa_l00(A,B)) & v1_partfun1(o_2_5_aofa_l00(A,B),u1_struct_0(B)) ) ) )).
fof(dt_o_2_5_card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m1_subset_1(o_2_5_card_fil(A,B),B) ) )).
fof(dt_o_2_5_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) ) => m2_glib_000(o_2_5_chord(A,B),A,B,k21_glib_000(A,B)) ) )).
fof(dt_o_2_5_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) ) => m1_subset_1(o_2_5_conlat_1(A,B),B) ) )).
fof(dt_o_2_5_dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_5_dickson(A,B),k6_dickson(A,B)) ) )).
fof(dt_o_2_5_exchsort,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => m1_subset_1(o_2_5_exchsort(A,B),k6_exchsort(A,B)) ) )).
fof(dt_o_2_5_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v1_glib_002(A) & m3_glib_001(B,A) ) => ( v5_glib_001(o_2_5_glib_002(A,B),A) & m4_glib_001(o_2_5_glib_002(A,B),A,B) ) ) )).
fof(dt_o_2_5_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => m2_glib_000(o_2_5_glib_004(A,B),A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) ) )).
fof(dt_o_2_5_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_5_group_2(A,B),k2_group_2(A,k1_subset_1(u1_struct_0(A)),B)) ) )).
fof(dt_o_2_5_group_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) ) => ( v1_funct_1(o_2_5_group_9(A,B)) & v1_funct_2(o_2_5_group_9(A,B),k4_finseq_1(k2_finseq_3(B,A)),k4_finseq_1(k2_finseq_3(B,A))) & v3_funct_2(o_2_5_group_9(A,B),k4_finseq_1(k2_finseq_3(B,A)),k4_finseq_1(k2_finseq_3(B,A))) & m1_subset_1(o_2_5_group_9(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k2_finseq_3(B,A)),k4_finseq_1(k2_finseq_3(B,A))))) ) ) )).
fof(dt_o_2_5_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_5_latticea(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_5_lopclset,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(A)) => m1_subset_1(o_2_5_lopclset(A,B),B) ) )).
fof(dt_o_2_5_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_subset_1(o_2_5_mmlquery(A,B),B) ) )).
fof(dt_o_2_5_modal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_modal_1) & m1_trees_1(B,k9_xtuple_0(A)) ) => m1_subset_1(o_2_5_modal_1(A,B),k1_trees_2(k9_xtuple_0(A),B)) ) )).
fof(dt_o_2_5_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_subset_1(o_2_5_msafree4(A,B),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) )).
fof(dt_o_2_5_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m2_subset_1(B,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) ) => m2_subset_1(o_2_5_pua2mss1(A,B),k3_finseq_2(u1_struct_0(A)),k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,B))) ) )).
fof(dt_o_2_5_tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_5_tbsp_1(A,B),B) ) )).
fof(dt_o_2_5_tex_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => m1_subset_1(o_2_5_tex_1(A,B),k6_subset_1(A,k6_domain_1(A,B))) ) )).
fof(dt_o_2_5_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_5_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,k19_euclid(1,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),B))) ) )).
fof(dt_o_2_5_treal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) ) => m1_subset_1(o_2_5_treal_1(A,B),k9_subset_1(u1_struct_0(k17_borsuk_1),k2_pre_topc(k17_borsuk_1,A),B)) ) )).
fof(dt_o_2_5_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k9_trees_9(A))) ) => m2_subset_1(o_2_5_trees_9(A,B),k9_trees_9(A),B) ) )).
fof(dt_o_2_5_waybel19,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_5_waybel19(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_5_waybel21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_5_waybel21(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_5_waybel_2,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_5_waybel_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_5_waybel_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_5_waybel_4(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_5_yellow_2,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_5_yellow_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_5_zmodul04,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => m1_zmodul03(o_2_5_zmodul04(A,B),B) ) )).
fof(dt_o_2_6_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) ) => ( v1_relat_1(o_2_6_aofa_l00(A,B)) & v2_relat_1(o_2_6_aofa_l00(A,B)) & v4_relat_1(o_2_6_aofa_l00(A,B),k6_subset_1(u1_struct_0(B),u1_struct_0(A))) & v1_funct_1(o_2_6_aofa_l00(A,B)) & v1_partfun1(o_2_6_aofa_l00(A,B),k6_subset_1(u1_struct_0(B),u1_struct_0(A))) ) ) )).
fof(dt_o_2_6_euclid_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) ) => m1_subset_1(o_2_6_euclid_7(A,B),B) ) )).
fof(dt_o_2_6_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v4_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m2_glib_000(o_2_6_glib_002(A,B),A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) ) )).
fof(dt_o_2_6_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k4_ordinal1) ) => m1_subset_1(o_2_6_glib_004(A,B),k12_glib_004(A,k15_glib_004(A,k16_glib_004(A),B))) ) )).
fof(dt_o_2_6_goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_qc_lang1(A))) ) => m2_subset_1(o_2_6_goedelcp(A,B),k1_qc_lang1(A),B) ) )).
fof(dt_o_2_6_group_10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_6_group_10(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_6_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => m1_subset_1(o_2_6_group_2(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_6_jordan2c,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m1_subset_1(o_2_6_jordan2c(A,B),k9_subset_1(u1_struct_0(k15_euclid(A)),k1_jordan2c(A,B),k2_jordan2c(A,B))) ) )).
fof(dt_o_2_6_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_6_latticea(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_6_matroid0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_6_matroid0(A,B),B) ) )).
fof(dt_o_2_6_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v5_msafree4(o_2_6_msafree4(A,B),A,B) & v6_msafree4(o_2_6_msafree4(A,B),A,B) & v7_msafree4(o_2_6_msafree4(A,B),A,B) & v8_msafree4(o_2_6_msafree4(A,B),A,B) & l3_msualg_1(o_2_6_msafree4(A,B),A) ) ) )).
fof(dt_o_2_6_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_6_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,k19_euclid(1,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,1),B))) ) )).
fof(dt_o_2_6_treal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) ) => m1_subset_1(o_2_6_treal_1(A,B),k9_subset_1(u1_struct_0(k17_borsuk_1),A,B)) ) )).
fof(dt_o_2_6_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(B) & m1_trees_2(B,A) ) => m1_subset_1(o_2_6_trees_2(A,B),B) ) )).
fof(dt_o_2_6_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v1_waybel19(A) & l1_waybel_9(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_6_waybel19(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_6_waybel30,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,k1_yellow_1(k7_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))))) ) => m2_subset_1(o_2_6_waybel30(A,B),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),B) ) )).
fof(dt_o_2_6_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v2_vectsp_7(o_2_6_weddwitt(A,B),k4_weddwitt(A),k7_weddwitt(A,B)) & m1_subset_1(o_2_6_weddwitt(A,B),k1_zfmisc_1(u1_struct_0(k7_weddwitt(A,B)))) ) ) )).
fof(dt_o_2_6_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_6_yellow19(A,B),B) ) )).
fof(dt_o_2_6_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_6_yellow_6(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_7_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m2_pboole(o_2_7_aofa_a00(A,B),u4_struct_0(A),k3_msafree4(k3_finseq_2(u1_struct_0(A)),u4_struct_0(A),u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k1_aofa_a00(u1_struct_0(A),B,u8_aofa_a00(A),k5_margrel1))),k3_msafree4(u1_struct_0(A),u4_struct_0(A),u2_msualg_1(A),k1_aofa_a00(u1_struct_0(A),B,u8_aofa_a00(A),k5_margrel1))) ) )).
fof(dt_o_2_7_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ( ~ v2_struct_0(o_2_7_aofa_l00(A,B)) & ~ v11_struct_0(o_2_7_aofa_l00(A,B)) & v6_aofa_l00(o_2_7_aofa_l00(A,B),A) & v7_aofa_l00(o_2_7_aofa_l00(A,B),B) & l2_aofa_l00(o_2_7_aofa_l00(A,B),B) ) ) )).
fof(dt_o_2_7_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => m1_subset_1(o_2_7_classes1(A,B),k6_subset_1(A,k4_classes1(B))) ) )).
fof(dt_o_2_7_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_7_fin_topo(A,B),B) ) )).
fof(dt_o_2_7_frechet,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_frechet))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_frechet))) ) => m1_subset_1(o_2_7_frechet(A,B),k9_subset_1(u1_struct_0(k3_frechet),A,B)) ) )).
fof(dt_o_2_7_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_002(A) & m3_glib_001(B,A) ) => ( v5_glib_001(o_2_7_glib_002(A,B),A) & m4_glib_001(o_2_7_glib_002(A,B),A,B) ) ) )).
fof(dt_o_2_7_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => m1_subset_1(o_2_7_glib_004(A,B),k12_glib_004(A,k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(k39_glib_000(k16_glib_004(A)),B)))) ) )).
fof(dt_o_2_7_goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => m1_henmodel(o_2_7_goedelcp(A,B),A,B) ) )).
fof(dt_o_2_7_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => m1_subset_1(o_2_7_group_2(A,B),u1_struct_0(g3_algstr_0(A,B))) ) )).
fof(dt_o_2_7_jordan2c,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v6_tbsp_1(B,k14_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) => m1_subset_1(o_2_7_jordan2c(A,B),B) ) )).
fof(dt_o_2_7_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_7_latticea(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_7_matroid0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_7_matroid0(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_7_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) ) => ( v1_msualg_3(o_2_7_msafree4(A,B)) & m2_pboole(o_2_7_msafree4(A,B),u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) ) ) )).
fof(dt_o_2_7_tdlat_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_7_tdlat_2(A,B),B) ) )).
fof(dt_o_2_7_topreal2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_2_7_topreal2(A,B),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,k19_euclid(1,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),B))) ) )).
fof(dt_o_2_7_treal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) ) => m1_subset_1(o_2_7_treal_1(A,B),k9_subset_1(u1_struct_0(k17_borsuk_1),k2_pre_topc(k17_borsuk_1,B),A)) ) )).
fof(dt_o_2_7_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v2_trees_2(B,A) & m1_trees_2(B,A) ) => m2_subset_1(o_2_7_trees_2(A,B),A,B) ) )).
fof(dt_o_2_7_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_7_waybel19(A,B),u1_struct_0(k3_yellow_9(A,B))) ) )).
fof(dt_o_2_7_waybel30,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_7_waybel30(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_7_waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_7_waybel_0(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_7_waybel_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_7_waybel_9(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_7_yellow_2,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_7_yellow_2(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_7_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_7_yellow_9(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_8_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_8_conlat_2(A,B),a_2_0_conlat_2(A,B)) ) )).
fof(dt_o_2_8_dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_8_dickson(A,B),a_2_9_dickson(A,B)) ) )).
fof(dt_o_2_8_frechet,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_topmetr))) ) => m1_subset_1(o_2_8_frechet(A,B),k9_subset_1(u1_struct_0(k3_topmetr),B,A)) ) )).
fof(dt_o_2_8_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => m2_glib_000(o_2_8_glib_002(A,B),A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) ) )).
fof(dt_o_2_8_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => m1_subset_1(o_2_8_glib_004(A,B),k12_glib_004(A,k15_glib_004(A,k16_glib_004(A),B))) ) )).
fof(dt_o_2_8_group_10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_8_group_10(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_8_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => m1_subset_1(o_2_8_heyting1(A,B),a_2_7_heyting1(A,B)) ) )).
fof(dt_o_2_8_jordan2c,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) => m1_subset_1(o_2_8_jordan2c(A,B),B) ) )).
fof(dt_o_2_8_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_8_latticea(A,B),a_2_1_latticea(A,B)) ) )).
fof(dt_o_2_8_tdlat_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_8_tdlat_2(A,B),k1_tdlat_2(A,B)) ) )).
fof(dt_o_2_8_waybel21,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v11_waybel_0(B,A) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_8_waybel21(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_8_waybel30,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(o_2_8_waybel30(A,B)) & v2_pre_topc(o_2_8_waybel30(A,B)) & v4_waybel11(o_2_8_waybel30(A,B)) & m1_yellow_9(o_2_8_waybel30(A,B),k3_yellow_3(A,B)) ) ) )).
fof(dt_o_2_8_waybel33,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v3_waybel_7(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => m2_subset_1(o_2_8_waybel33(A,B),u1_struct_0(k2_yellow_1(k2_struct_0(A))),B) ) )).
fof(dt_o_2_8_waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_subset_1(o_2_8_waybel_0(A,B),u1_struct_0(A),B) ) )).
fof(dt_o_2_8_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m2_subset_1(o_2_8_yellow_9(A,B),k1_zfmisc_1(A),B) ) )).
fof(dt_o_2_8_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_2_8_zmodul02(A,B),B) ) )).
fof(dt_o_2_9_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m2_subset_1(o_2_9_conlat_2(A,B),k1_zfmisc_1(u1_struct_0(A)),B) ) )).
fof(dt_o_2_9_frechet,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_frechet))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_frechet))) ) => m1_subset_1(o_2_9_frechet(A,B),k9_subset_1(u1_struct_0(k3_frechet),B,A)) ) )).
fof(dt_o_2_9_glib_002,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_glib_001(B,A) ) => m1_subset_1(o_2_9_glib_002(A,B),k14_glib_001(A,B)) ) )).
fof(dt_o_2_9_waybel11,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) ) => m1_subset_1(o_2_9_waybel11(A,B),u1_struct_0(B)) ) )).
fof(dt_o_2_9_waybel30,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(o_2_9_waybel30(A,B)) & v2_pre_topc(o_2_9_waybel30(A,B)) & v1_waybel19(o_2_9_waybel30(A,B)) & m1_yellow_9(o_2_9_waybel30(A,B),k3_yellow_3(A,B)) ) ) )).
fof(dt_o_2_9_waybel33,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) ) => m1_subset_1(o_2_9_waybel33(A,B),B) ) )).
fof(dt_o_2_9_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_2_9_yellow19(A,B),k6_setfam_1(u1_struct_0(A),B)) ) )).
fof(dt_o_3_0_altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k7_altcat_1(A))) & m1_subset_1(C,u1_struct_0(k7_altcat_1(A))) ) => m1_subset_1(o_3_0_altcat_3(A,B,C),k1_funct_2(B,C)) ) )).
fof(dt_o_3_0_altcat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_0_altcat_4(A,B,C),k1_altcat_1(A,C,B)) ) )).
fof(dt_o_3_0_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_amistd_4(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(o_3_0_amistd_4(A,B,C),k4_memstr_0(A,B,C)) ) )).
fof(dt_o_3_0_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_borsuk_2(o_3_0_borsuk_6(A,B,C),A,B,C) ) )).
fof(dt_o_3_0_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & ~ v2_struct_0(C) & m1_pre_topc(C,k2_brouwer(2,B,A)) ) => m1_subset_1(o_3_0_brouwer(A,B,C),u1_struct_0(C)) ) )).
fof(dt_o_3_0_brouwer3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,k4_ordinal1) ) => ( v1_funct_1(o_3_0_brouwer3(A,B,C)) & v1_funct_2(o_3_0_brouwer3(A,B,C),u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k8_toprealb(k1_nat_1(C,1)))) & v5_pre_topc(o_3_0_brouwer3(A,B,C),k1_pre_topc(k15_euclid(A),B),k8_toprealb(k1_nat_1(C,1))) & m1_subset_1(o_3_0_brouwer3(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k8_toprealb(k1_nat_1(C,1)))))) ) ) )).
fof(dt_o_3_0_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(o_3_0_cat_3(A,B,C),A,C,B) ) )).
fof(dt_o_3_0_compts_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_3_0_compts_1(A,B,C),k9_subset_1(u1_struct_0(A),k6_setfam_1(u1_struct_0(A),C),k5_setfam_1(u1_struct_0(A),B))) ) )).
fof(dt_o_3_0_dilworth,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_dilworth(A) & l1_orders_2(A) & v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) ) => ( v1_funct_1(o_3_0_dilworth(A,B,C)) & v1_funct_2(o_3_0_dilworth(A,B,C),B,C) & m1_subset_1(o_3_0_dilworth(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) )).
fof(dt_o_3_0_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v3_valued_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v3_valued_0(C) ) => m1_subset_1(o_3_0_euclid_9(A,B,C),k8_relset_1(k4_ordinal1,k1_numbers,k3_euclid(k8_rvsum_1(B,C)),k1_tarski(k1_xxreal_2(k1_rvsum_1(k3_euclid(k8_rvsum_1(B,C))))))) ) )).
fof(dt_o_3_0_fintopo4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_0_fintopo4(A,B,C),k9_subset_1(u1_struct_0(A),k1_fin_topo(A,C),B)) ) )).
fof(dt_o_3_0_fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_0_fintopo6(A,B,C),k9_subset_1(u1_struct_0(A),k1_fin_topo(A,C),B)) ) )).
fof(dt_o_3_0_frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => m1_subset_1(o_3_0_frechet2(A,B,C),k3_xboole_0(k1_funct_1(A,C),k1_funct_1(B,C))) ) )).
fof(dt_o_3_0_glib_002,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v1_glib_002(A) & m1_subset_1(B,k6_glib_000(A)) & m2_subset_1(C,k1_zfmisc_1(k6_glib_000(o_2_4_glib_002(A,B))),k3_glib_002(o_2_4_glib_002(A,B))) ) => m2_glib_000(o_3_0_glib_002(A,B,C),o_2_4_glib_002(A,B),C,k21_glib_000(o_2_4_glib_002(A,B),C)) ) )).
fof(dt_o_3_0_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_glib_005(C,A,B) ) => m1_subset_1(o_3_0_glib_005(A,B,C),k2_glib_005(A,B,C)) ) )).
fof(dt_o_3_0_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) & v7_ordinal1(C) ) => m1_subset_1(o_3_0_goboard3(A,B,C),k9_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,A,B),k2_topreal1(2,A,C))) ) )).
fof(dt_o_3_0_goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_3_0_goboard4(A,B,C),k3_xboole_0(k10_xtuple_0(C),k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)))) ) )).
fof(dt_o_3_0_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) ) => m1_substut2(o_3_0_goedelcp(A,B,C),A,C,B) ) )).
fof(dt_o_3_0_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => m2_integr15(o_3_0_integr15(A,B,C),A,B,C) ) )).
fof(dt_o_3_0_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m1_subset_1(o_3_0_jordan6(A,B,C),k7_subset_1(u1_struct_0(k15_euclid(A)),C,B)) ) )).
fof(dt_o_3_0_kurato_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v3_pre_topc(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => m1_subset_1(o_3_0_kurato_2(A,B,C),k9_subset_1(u1_struct_0(k15_euclid(A)),B,C)) ) )).
fof(dt_o_3_0_ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) & m1_trees_1(C,k9_xtuple_0(B)) ) => m2_ltlaxio4(o_3_0_ltlaxio4(A,B,C),k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k9_ltlaxio4(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,C))) ) )).
fof(dt_o_3_0_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => m2_subset_1(o_3_0_measure3(A,B,C),k1_zfmisc_1(A),k1_measure3(A,B,C)) ) )).
fof(dt_o_3_0_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) & v7_ordinal1(C) ) => m1_subset_1(o_3_0_measure6(A,B,C),k9_subset_1(k1_numbers,A,k2_rcomp_1(k6_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(C,1))),k2_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(C,1)))))) ) )).
fof(dt_o_3_0_mssublat,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) ) => m2_finseq_2(o_3_0_mssublat(A,B,C),k10_msualg_1(A,B),k4_finseq_2(k3_finseq_1(k1_msualg_1(A,C)),k10_msualg_1(A,B))) ) )).
fof(dt_o_3_0_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) ) => m1_subset_1(o_3_0_msualg_6(A,B,C),k3_msualg_1(A,C,B)) ) )).
fof(dt_o_3_0_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => m1_subset_1(o_3_0_msualg_9(A,B,C),k1_funct_1(B,C)) ) )).
fof(dt_o_3_0_orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => m1_subset_1(o_3_0_orders_1(A,B,C),k1_funct_1(B,C)) ) )).
fof(dt_o_3_0_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(o_3_0_orders_2(A,B,C),k9_subset_1(u1_struct_0(A),k1_wellord1(u1_orders_2(A),C),k6_domain_1(u1_struct_0(A),B))) ) )).
fof(dt_o_3_0_pencil_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) & m1_subset_1(C,A) ) => m1_subset_1(o_3_0_pencil_1(A,B,C),u1_pre_topc(k1_pencil_1(A,B,C))) ) )).
fof(dt_o_3_0_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v2_vectsp_7(o_3_0_pencil_4(A,B,C),A,C) & m1_subset_1(o_3_0_pencil_4(A,B,C),k1_zfmisc_1(u1_struct_0(C))) ) ) )).
fof(dt_o_3_0_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_petri(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_funct_2(C,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) ) => m1_petri_df(o_3_0_petri_df(A,B,C),u1_struct_0(A),k4_ordinal1,B,C) ) )).
fof(dt_o_3_0_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & m1_subset_1(B,u1_struct_0(k1_complfld)) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => m1_complfld(o_3_0_polynom5(A,B,C),k4_algstr_0(k1_complfld,k12_algstr_0(k1_complfld,k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k6_polynom5(k1_complfld,A,k5_polynom5(k1_complfld,B,k1_group_1(k1_complfld))),k5_numbers),k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k6_polynom5(k1_complfld,A,k5_polynom5(k1_complfld,B,k1_group_1(k1_complfld))),C))),C) ) )).
fof(dt_o_3_0_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => m1_subset_1(o_3_0_polynom7(A,B,C),k3_polynom1(k15_pre_poly(A),B,C)) ) )).
fof(dt_o_3_0_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(k4_poset_2(A),k4_poset_2(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(k4_poset_2(A),k4_poset_2(B))))) ) => m2_subset_1(o_3_0_poset_2(A,B,C),u1_struct_0(k6_poset_1(k4_poset_2(A),k4_poset_2(B))),C) ) )).
fof(dt_o_3_0_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) & m1_prelamb(B,A) & m1_trees_1(C,k9_xtuple_0(B)) ) => m1_subset_1(o_3_0_prelamb(A,B,C),k1_trees_2(k9_xtuple_0(B),C)) ) )).
fof(dt_o_3_0_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => m1_subset_1(o_3_0_ramsey_1(A,B,C),k3_group_10(C,A)) ) )).
fof(dt_o_3_0_rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => m1_subset_1(o_3_0_rearran1(A,B,C),k6_subset_1(k1_funct_1(B,k1_nat_1(C,1)),k1_funct_1(B,C))) ) )).
fof(dt_o_3_0_rfinseq,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B) ) => m1_subset_1(o_3_0_rfinseq(A,B,C),k8_relat_1(k9_finseq_1(k1_funct_1(A,o_1_0_rfinseq(B))),k1_tarski(C))) ) )).
fof(dt_o_3_0_rfunct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => m1_subset_1(o_3_0_rfunct_2(A,B,C),k9_subset_1(k1_numbers,k3_xboole_0(B,A),k1_relset_1(k1_numbers,C))) ) )).
fof(dt_o_3_0_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_xreal_0(C) ) => m1_subset_1(o_3_0_rfunct_3(A,B,C),k8_relset_1(A,k1_numbers,k56_valued_1(A,k1_numbers,B),k1_tarski(C))) ) )).
fof(dt_o_3_0_rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_0_rlvect_3(A,B,C),k3_xboole_0(k10_xtuple_0(B),k10_xtuple_0(C))) ) )).
fof(dt_o_3_0_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(o_3_0_rmod_2(A,B,C),C) ) )).
fof(dt_o_3_0_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k1_topmetr(k14_euclid(A),B)))))) ) => m1_simplex2(o_3_0_simplex2(A,B,C),k1_topmetr(k14_euclid(A),B),C) ) )).
fof(dt_o_3_0_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_finset_1(B) & m1_subset_1(B,k1_substut1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => m2_subset_1(o_3_0_substut1(A,B,C),k1_qc_lang1(A),k12_substut1(A,C,B)) ) )).
fof(dt_o_3_0_topgen_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => m1_subset_1(o_3_0_topgen_3(A,B,C),k1_funct_1(B,C)) ) )).
fof(dt_o_3_0_topgen_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_pre_topc(A,k3_topmetr) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),a_0_2_topgen_6) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),a_0_2_topgen_6))) ) => m1_subset_1(o_3_0_topgen_6(A,B,C),k8_relset_1(u1_struct_0(A),a_0_2_topgen_6,B,k1_tarski(C))) ) )).
fof(dt_o_3_0_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) & v7_ordinal1(C) ) => m1_subset_1(o_3_0_topreal4(A,B,C),k9_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,A,B),k2_topreal1(2,A,C))) ) )).
fof(dt_o_3_0_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m4_trees_1(B,A) & m1_trees_2(C,A) ) => m1_subset_1(o_3_0_trees_2(A,B,C),k9_subset_1(A,B,C)) ) )).
fof(dt_o_3_0_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_urysohn3(o_3_0_urysohn3(A,B,C),A,B,C,k5_numbers) ) )).
fof(dt_o_3_0_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(o_3_0_vectsp_4(A,B,C),C) ) )).
fof(dt_o_3_0_vectsp_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_vectsp_8(A,B))) ) => m2_subset_1(o_3_0_vectsp_8(A,B,C),k2_vectsp_8(A,B),C) ) )).
fof(dt_o_3_0_vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v2_vectsp_7(o_3_0_vectsp_9(A,B,C),A,C) & m1_subset_1(o_3_0_vectsp_9(A,B,C),k1_zfmisc_1(u1_struct_0(C))) ) ) )).
fof(dt_o_3_0_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => m1_subset_1(o_3_0_zf_refle(A,B,C),k5_zf_refle(A,B,C)) ) )).
fof(dt_o_3_10_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_mmlquery(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => m1_subset_1(o_3_10_mmlquery(A,B,C),k1_mmlquery(A,B,C)) ) )).
fof(dt_o_3_10_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel33(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & v6_waybel_0(C,A) & m2_yellow_6(C,A,B) ) => m1_subset_1(o_3_10_waybel33(A,B,C),u1_struct_0(C)) ) )).
fof(dt_o_3_11_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v1_orders_4(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k30_fomodel2(A))) & ~ v1_xboole_0(C) & v4_card_3(C) ) => ( v1_relat_1(o_3_11_fomodel4(A,B,C)) & v1_funct_1(o_3_11_fomodel4(A,B,C)) & v1_fomodel2(o_3_11_fomodel4(A,B,C),k41_fomodel1(A,B),C) ) ) )).
fof(dt_o_3_12_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v1_orders_4(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & v16_fomodel1(B,A) & l1_fomodel1(B) & ~ v1_xboole_0(C) & v4_card_3(C) ) => m2_subset_1(o_3_12_fomodel4(A,B,C),k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(B,C)) ) )).
fof(dt_o_3_14_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m2_subset_1(B,k4_ordinal1,k1_zf_lang) & m2_subset_1(C,k4_ordinal1,k1_zf_lang) ) => m1_subset_1(o_3_14_zf_fund1(A,B,C),k5_zf_fund1(k4_zf_lang(B,C),A)) ) )).
fof(dt_o_3_15_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,u1_struct_0(A)) ) => m1_graph_3(o_3_15_graph_3(A,B,C),u4_struct_0(A),k9_graph_3(A),k13_graph_3(A,C,B)) ) )).
fof(dt_o_3_16_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => m1_subset_1(o_3_16_dickson(A,B,C),k1_funct_1(k12_pralg_1(A,B),C)) ) )).
fof(dt_o_3_16_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) & m2_finseq_2(C,u4_struct_0(A),k9_graph_3(A)) ) => m1_subset_1(o_3_16_graph_3(A,B,C),k9_subset_1(u1_struct_0(A),k1_graph_3(A,k10_xtuple_0(B)),k1_graph_3(A,k10_xtuple_0(C)))) ) )).
fof(dt_o_3_17_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v5_graph_1(B) & v6_graph_1(B) & l1_graph_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => m1_graph_3(o_3_17_graph_3(A,B,C),u4_struct_0(B),k9_graph_3(B),k13_graph_3(B,C,u4_struct_0(A))) ) )).
fof(dt_o_3_18_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,B) ) => m1_subset_1(o_3_18_dickson(A,B,C),C) ) )).
fof(dt_o_3_1_aff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_3_1_aff_4(A,B,C),k1_aff_4(A,B,C)) ) )).
fof(dt_o_3_1_algspec1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v1_msafree1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) ) => m1_subset_1(o_3_1_algspec1(A,B,C),k3_msualg_1(A,C,B)) ) )).
fof(dt_o_3_1_altcat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_1_altcat_4(A,B,C),k1_altcat_1(A,B,C)) ) )).
fof(dt_o_3_1_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => m2_pboole(o_3_1_aofa_l00(A,B,C),u4_struct_0(B),k3_msafree4(k3_finseq_2(u1_struct_0(B)),u4_struct_0(B),u1_msualg_1(B),k6_finseq_2(u1_struct_0(B),C)),k3_msafree4(u1_struct_0(B),u4_struct_0(B),u2_msualg_1(B),C)) ) )).
fof(dt_o_3_1_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k2_brouwer(2,B,A))) ) => ( v3_funct_1(o_3_1_brouwer(A,B,C)) & m1_borsuk_2(o_3_1_brouwer(A,B,C),k2_brouwer(2,B,A),C,C) ) ) )).
fof(dt_o_3_1_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => m1_subset_1(o_3_1_card_3(A,B,C),k3_xboole_0(k1_funct_1(k2_card_3(C),A),k1_funct_1(k2_card_3(C),B))) ) )).
fof(dt_o_3_1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(o_3_1_cat_1(A,B,C),A,C,B) ) )).
fof(dt_o_3_1_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(o_3_1_cat_3(A,B,C),A,B,C) ) )).
fof(dt_o_3_1_compts_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_subset_1(o_3_1_compts_1(A,B,C),k9_subset_1(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B),k6_setfam_1(u1_struct_0(A),C))) ) )).
fof(dt_o_3_1_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(k5_dickson(A))) ) => m1_subset_1(o_3_1_dickson(A,B,C),k7_subset_1(u1_struct_0(A),k9_subset_1(u1_struct_0(A),k1_wellord1(u1_orders_2(A),C),B),k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_dickson(A),C))) ) )).
fof(dt_o_3_1_dilworth,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v4_dilworth(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_dilworth(C,k5_yellow_0(A,B)) & m1_eqrel_1(C,u1_struct_0(k5_yellow_0(A,B))) ) => m2_subset_1(o_3_1_dilworth(A,B,C),k1_zfmisc_1(u1_struct_0(k5_yellow_0(A,B))),C) ) )).
fof(dt_o_3_1_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k11_ens_1(A))) & m1_subset_1(C,u1_struct_0(k11_ens_1(A))) ) => m1_subset_1(o_3_1_ens_1(A,B,C),k7_ens_1(A,k13_ens_1(A,B),k13_ens_1(A,C))) ) )).
fof(dt_o_3_1_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => m1_subset_1(o_3_1_fsm_1(A,B,C),u1_struct_0(C)) ) )).
fof(dt_o_3_1_glib_002,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_finset_1(C) & v1_glib_000(C) & v4_glib_000(C) ) => m2_glib_000(o_3_1_glib_002(A,B,C),C,k6_subset_1(k6_glib_000(C),k1_tarski(B)),k21_glib_000(C,k6_subset_1(k6_glib_000(C),k1_tarski(B)))) ) )).
fof(dt_o_3_1_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) ) => m1_subset_1(o_3_1_glib_004(A,B,C),k6_glib_004(A,k9_glib_004(A,k10_glib_004(A,B),C))) ) )).
fof(dt_o_3_1_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) ) => m1_subset_1(o_3_1_glib_005(A,B,C),k2_glib_005(A,B,k4_glib_005(A,B,k5_glib_005(A,B,C),k39_glib_000(k5_glib_005(A,B,C))))) ) )).
fof(dt_o_3_1_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_2(C,u4_struct_0(A),k9_graph_3(A)) ) => m1_subset_1(o_3_1_graph_3(A,B,C),a_3_0_graph_3(A,B,C)) ) )).
fof(dt_o_3_1_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_3_1_group_2(A,B,C),k2_group_2(A,B,C)) ) )).
fof(dt_o_3_1_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_3_1_group_3(A,B,C),k3_group_3(A,B,C)) ) )).
fof(dt_o_3_1_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) ) => m1_subset_1(o_3_1_jordan6(A,B,C),k7_subset_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),B,C)) ) )).
fof(dt_o_3_1_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) & m1_subset_1(C,k4_ordinal1) ) => m1_subset_1(o_3_1_measure6(A,B,C),k9_subset_1(k1_numbers,A,k2_rcomp_1(k6_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(C,1))),k2_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(C,1)))))) ) )).
fof(dt_o_3_1_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => m1_msaterm(o_3_1_msafree3(A,B,C),A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C)) ) )).
fof(dt_o_3_1_normform,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) ) => m1_subset_1(o_3_1_normform(A,B,C),k3_finsub_1(k5_finsub_1(A),k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),k1_normform(k5_finsub_1(A),k5_finsub_1(A),B,C)),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),k1_normform(k5_finsub_1(A),k5_finsub_1(A),B,C)))) ) )).
fof(dt_o_3_1_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) ) => m1_subset_1(o_3_1_pencil_2(A,B,C),u1_pre_topc(k2_pencil_1(A,B,k3_pencil_1(A,C)))) ) )).
fof(dt_o_3_1_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) ) => m1_subset_1(o_3_1_pencil_3(A,B,C),u1_pre_topc(k2_pencil_1(A,B,k3_pencil_1(A,C)))) ) )).
fof(dt_o_3_1_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => m1_vectsp_5(o_3_1_pencil_4(A,B,C),A,B,C) ) )).
fof(dt_o_3_1_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v4_petri_df(A) & l1_petri(A) & v1_finseq_6(B,k2_net_1(A)) & v1_jordan23(B) & v2_petri_df(B,A) & m2_finseq_1(B,k2_net_1(A)) & m2_funct_2(C,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) ) => m1_petri_df(o_3_1_petri_df(A,B,C),u1_struct_0(A),k4_ordinal1,k2_petri_df(A,B),C) ) )).
fof(dt_o_3_1_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => m1_subset_1(o_3_1_polynom7(A,B,C),k3_polynom1(k15_pre_poly(A),B,C)) ) )).
fof(dt_o_3_1_polyred,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) ) => m2_subset_1(o_3_1_polyred(A,B,C),u1_struct_0(k12_polynom1(A,B)),C) ) )).
fof(dt_o_3_1_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m5_margrel1(C,u1_struct_0(A),k1_unialg_2(A)) ) => m2_finseq_2(o_3_1_pralg_1(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_finseq_2(k18_margrel1(C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) )).
fof(dt_o_3_1_rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => m1_subset_1(o_3_1_rearran1(A,B,C),k6_subset_1(k1_funct_1(k2_rearran1(A,B),k1_nat_1(C,1)),k1_funct_1(k2_rearran1(A,B),C))) ) )).
fof(dt_o_3_1_rfinseq,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B) ) => m1_subset_1(o_3_1_rfinseq(A,B,C),k8_relat_1(k5_relat_1(A,k1_tarski(o_1_0_rfinseq(B))),k1_tarski(C))) ) )).
fof(dt_o_3_1_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(o_3_1_rfunct_3(A,B,C),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,C))) ) )).
fof(dt_o_3_1_tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => m1_subset_1(o_3_1_tbsp_1(A,B,C),k8_metric_1(A,B,C)) ) )).
fof(dt_o_3_1_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_borsuk_2(o_3_1_topalg_1(A,B,C),A,C,B) ) )).
fof(dt_o_3_1_topgen_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_pre_topc(A,k3_topmetr) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),a_0_2_topgen_6) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),a_0_2_topgen_6))) ) => m1_subset_1(o_3_1_topgen_6(A,B,C),k8_relset_1(u1_struct_0(A),a_0_2_topgen_6,B,k1_tarski(k1_funct_1(B,C)))) ) )).
fof(dt_o_3_1_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m2_urysohn3(o_3_1_urysohn3(A,B,C),A,B,C) ) )).
fof(dt_o_3_1_vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(o_3_1_vectsp_7(A,B,C),C) ) )).
fof(dt_o_3_1_vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v2_vectsp_7(o_3_1_vectsp_9(A,B,C),A,C) & m1_subset_1(o_3_1_vectsp_9(A,B,C),k1_zfmisc_1(u1_struct_0(C))) ) ) )).
fof(dt_o_3_1_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_1_zmodul02(A,B,C),k9_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),B),k2_relset_1(u1_struct_0(A),C))) ) )).
fof(dt_o_3_1_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & v1_zmodul03(C) & m1_zmodul01(C,k33_zmodul02(A,k7_subset_1(u1_struct_0(A),o_1_0_zmodul04(A),k6_domain_1(u1_struct_0(A),B)))) ) => m1_zmodul03(o_3_1_zmodul04(A,B,C),C) ) )).
fof(dt_o_3_2_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(A) => m1_subset_1(o_3_2_card_3(A,B,C),k3_xboole_0(k1_wellord1(A,C),B)) ) )).
fof(dt_o_3_2_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_cat_1(o_3_2_cat_1(A,B,C),A,B,C) ) )).
fof(dt_o_3_2_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => m2_chord(o_3_2_chord(A,B,C),A,B,C) ) )).
fof(dt_o_3_2_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & v1_clvect_1(B) & m1_clvect_1(B,A) & v1_clvect_1(C) & m1_clvect_1(C,A) ) => m1_subset_1(o_3_2_clvect_1(A,B,C),k6_subset_1(u1_struct_0(B),u1_struct_0(C))) ) )).
fof(dt_o_3_2_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) ) => m1_subset_1(o_3_2_cqc_lang(A,B,C),a_3_0_cqc_lang(A,B,C)) ) )).
fof(dt_o_3_2_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),B) ) => m1_subset_1(o_3_2_dickson(A,B,C),C) ) )).
fof(dt_o_3_2_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k11_ens_1(A))) & m1_subset_1(C,u1_struct_0(k11_ens_1(A))) ) => ( v1_funct_1(o_3_2_ens_1(A,B,C)) & v1_funct_2(o_3_2_ens_1(A,B,C),k13_ens_1(A,C),k13_ens_1(A,B)) & m1_subset_1(o_3_2_ens_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k13_ens_1(A,C),k13_ens_1(A,B)))) ) ) )).
fof(dt_o_3_2_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m2_subset_1(C,k1_zfmisc_1(A),B) ) => m2_subset_1(o_3_2_finseq_4(A,B,C),A,C) ) )).
fof(dt_o_3_2_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_funct_1(B) & m2_subset_1(C,k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k40_fomodel2(A)) ) => m1_subset_1(o_3_2_fomodel4(A,B,C),k7_subset_1(k15_fomodel1(A),k16_fomodel1(A),k21_fomodel0(k8_subset_1(k3_finseq_2(k1_fomodel1(A)),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)),k2_xboole_0(B,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k37_fomodel2(A,C))))))) ) )).
fof(dt_o_3_2_glib_002,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v2_glib_002(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) & ~ v4_glib_000(B) & v2_glib_002(B) & m1_subset_1(C,k6_glib_000(B)) ) => m2_glib_000(o_3_2_glib_002(A,B,C),A,k6_subset_1(k6_glib_000(A),k1_tarski(C)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(C)))) ) )).
fof(dt_o_3_2_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) ) => m1_subset_1(o_3_2_glib_004(A,B,C),k6_glib_004(A,k9_glib_004(A,k10_glib_004(A,B),C))) ) )).
fof(dt_o_3_2_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(C,k1_zfmisc_1(k6_glib_000(A))) ) => m1_subset_1(o_3_2_glib_005(A,B,C),k7_subset_1(k6_glib_000(A),k6_subset_1(k6_glib_000(A),C),k1_tarski(B))) ) )).
fof(dt_o_3_2_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) & m2_finseq_2(C,u4_struct_0(A),k9_graph_3(A)) ) => m1_subset_1(o_3_2_graph_3(A,B,C),k9_subset_1(u1_struct_0(A),k1_graph_3(A,k10_xtuple_0(B)),k1_graph_3(A,k10_xtuple_0(C)))) ) )).
fof(dt_o_3_2_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_group_2(C,A) ) => m1_subset_1(o_3_2_group_2(A,B,C),k13_group_2(A,C,B)) ) )).
fof(dt_o_3_2_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v3_ordinal1(B) & ~ v1_finset_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,A)))) ) => m2_subset_1(o_3_2_hilbasis(A,B,C),u1_struct_0(k12_polynom1(B,A)),C) ) )).
fof(dt_o_3_2_jgraph_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => m1_subset_1(o_3_2_jgraph_1(A,B,C),k9_subset_1(u1_struct_0(k3_pcomps_1(A)),B,C)) ) )).
fof(dt_o_3_2_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) ) => m1_subset_1(o_3_2_jordan6(A,B,C),k7_subset_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),C,B)) ) )).
fof(dt_o_3_2_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ( v1_matrix_0(o_3_2_matrtop1(A,B,C)) & v2_matrix_0(o_3_2_matrtop1(A,B,C),u1_struct_0(C),A,k7_nat_d(A,B)) & m2_finseq_1(o_3_2_matrtop1(A,B,C),k3_finseq_2(u1_struct_0(C))) ) ) )).
fof(dt_o_3_2_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msafree4(B,A) ) => ( v1_funct_1(o_3_2_msafree4(A,B,C)) & v2_funct_1(o_3_2_msafree4(A,B,C)) & v1_funct_2(o_3_2_msafree4(A,B,C),k1_funct_1(B,C),k1_card_1(k1_funct_1(B,C))) & v2_funct_2(o_3_2_msafree4(A,B,C),k1_card_1(k1_funct_1(B,C))) & m1_subset_1(o_3_2_msafree4(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,C),k1_card_1(k1_funct_1(B,C))))) ) ) )).
fof(dt_o_3_2_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => m1_subset_1(o_3_2_polynom7(A,B,C),k3_polynom1(k15_pre_poly(A),B,C)) ) )).
fof(dt_o_3_2_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m2_subset_1(C,k1_zfmisc_1(A),B) ) => m2_subset_1(o_3_2_pua2mss1(A,B,C),A,C) ) )).
fof(dt_o_3_2_rlsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlvect_1(B) & m1_rlsub_1(B,A) & v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => m1_subset_1(o_3_2_rlsub_1(A,B,C),k6_subset_1(u1_struct_0(B),u1_struct_0(C))) ) )).
fof(dt_o_3_2_rusub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_bhsp_1(B) & m1_rusub_1(B,A) & v1_bhsp_1(C) & m1_rusub_1(C,A) ) => m1_subset_1(o_3_2_rusub_1(A,B,C),k6_subset_1(u1_struct_0(B),u1_struct_0(C))) ) )).
fof(dt_o_3_2_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) ) => m1_substut2(o_3_2_substut2(A,B,C),A,C,B) ) )).
fof(dt_o_3_2_tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_3_2_tbsp_1(A,B,C),k9_subset_1(u1_struct_0(A),B,C)) ) )).
fof(dt_o_3_2_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_borsuk_2(o_3_2_topalg_1(A,B,C),A,C,B) ) )).
fof(dt_o_3_2_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(B) & m1_trees_2(B,A) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => m1_subset_1(o_3_2_trees_2(A,B,C),k7_subset_1(A,B,k1_trees_1(C))) ) )).
fof(dt_o_3_2_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) ) => m1_vectsp_5(o_3_2_vectsp_5(A,B,C),A,B,C) ) )).
fof(dt_o_3_2_waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k2_yellow_1(u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(k2_yellow_1(u1_struct_0(A)))) ) => m1_subset_1(o_3_2_waybel_7(A,B,C),k12_lattice3(k2_yellow_1(u1_struct_0(A)),B,C)) ) )).
fof(dt_o_3_2_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) ) => m1_subset_1(o_3_2_yellow_6(A,B,C),u1_struct_0(C)) ) )).
fof(dt_o_3_3_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_3_cat_1(A,B,C),k2_cat_1(A,B,C)) ) )).
fof(dt_o_3_3_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) & m1_subset_1(C,k6_cat_6(A)) ) => m1_cat_7(o_3_3_cat_7(A,B,C),A,B,C) ) )).
fof(dt_o_3_3_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_chord(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & m1_subset_1(C,k6_glib_000(A)) ) => m2_glib_000(o_3_3_chord(A,B,C),A,k4_subset_1(k6_glib_000(A),B,k6_domain_1(k6_glib_000(A),C)),k21_glib_000(A,k4_subset_1(k6_glib_000(A),B,k6_domain_1(k6_glib_000(A),C)))) ) )).
fof(dt_o_3_3_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & v1_clvect_1(B) & m1_clvect_1(B,A) & v1_clvect_1(C) & m1_clvect_1(C,A) ) => m1_subset_1(o_3_3_clvect_1(A,B,C),k6_subset_1(u1_struct_0(C),u1_struct_0(B))) ) )).
fof(dt_o_3_3_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) ) => m1_subset_1(o_3_3_cqc_lang(A,B,C),a_3_1_cqc_lang(A,B,C)) ) )).
fof(dt_o_3_3_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => m1_subset_1(o_3_3_finseq_3(A,B,C),k3_xboole_0(k8_relat_1(A,C),a_3_2_finseq_3(A,B,C))) ) )).
fof(dt_o_3_3_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) ) => ( v1_glib_003(o_3_3_glib_004(A,B,C)) & v4_glib_003(o_3_3_glib_004(A,B,C),A) & m2_glib_000(o_3_3_glib_004(A,B,C),A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))) ) ) )).
fof(dt_o_3_3_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(C,k1_zfmisc_1(k6_glib_000(A))) ) => m1_subset_1(o_3_3_glib_005(A,B,C),k9_subset_1(k7_glib_000(A),k23_glib_000(A,k6_subset_1(k6_glib_000(A),k2_xboole_0(C,k1_tarski(o_3_2_glib_005(A,B,C)))),k2_xboole_0(C,k1_tarski(o_3_2_glib_005(A,B,C)))),k23_glib_000(A,k1_tarski(o_3_2_glib_005(A,B,C)),C))) ) )).
fof(dt_o_3_3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v15_algstr_0(C) & v1_group_3(C,B) & m1_group_2(C,B) ) => m1_subset_1(o_3_3_group_9(A,B,C),u1_struct_0(C)) ) )).
fof(dt_o_3_3_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(k3_lattice3(A))) ) => m1_subset_1(o_3_3_lattice6(A,B,C),k9_subset_1(u1_struct_0(A),k1_wellord1(u1_orders_2(k7_lattice3(k3_lattice3(A))),C),B)) ) )).
fof(dt_o_3_3_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) & m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),B) ) => m2_subset_1(o_3_3_pua2mss1(A,B,C),u1_struct_0(A),C) ) )).
fof(dt_o_3_3_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_finset_1(B) & m1_subset_1(B,k1_substut1(A)) & m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) ) => m2_subset_1(o_3_3_qc_trans(A,B,C),k1_qc_lang1(A),k12_substut1(A,C,B)) ) )).
fof(dt_o_3_3_rlsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlvect_1(B) & m1_rlsub_1(B,A) & v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => m1_subset_1(o_3_3_rlsub_1(A,B,C),k6_subset_1(u1_struct_0(C),u1_struct_0(B))) ) )).
fof(dt_o_3_3_rusub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_bhsp_1(B) & m1_rusub_1(B,A) & v1_bhsp_1(C) & m1_rusub_1(C,A) ) => m1_subset_1(o_3_3_rusub_1(A,B,C),k6_subset_1(u1_struct_0(C),u1_struct_0(B))) ) )).
fof(dt_o_3_3_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) ) => m2_subset_1(o_3_3_waybel28(A,B,C),u1_struct_0(C),k1_relset_1(u1_struct_0(C),u1_waybel_0(A,C))) ) )).
fof(dt_o_3_3_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_zf_refle(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( v1_funct_1(o_3_3_zf_fund2(A,B,C)) & v1_funct_2(o_3_3_zf_fund2(A,B,C),k1_zf_lang,k5_zf_refle(A,B,C)) & m1_subset_1(o_3_3_zf_fund2(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,C)))) ) ) )).
fof(dt_o_3_3_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_zmodul01(B) & m1_zmodul01(B,A) & v1_zmodul01(C) & m1_zmodul01(C,A) ) => m1_subset_1(o_3_3_zmodul01(A,B,C),k6_subset_1(u1_struct_0(B),u1_struct_0(C))) ) )).
fof(dt_o_3_3_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_3_zmodul04(A,B,C),u1_struct_0(k7_zmodul01(A,B,k33_zmodul02(A,k7_subset_1(u1_struct_0(A),o_1_0_zmodul04(A),k6_domain_1(u1_struct_0(A),C)))))) ) )).
fof(dt_o_3_4_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & m1_subset_1(C,k6_glib_000(A)) ) => m2_glib_000(o_3_4_chord(A,B,C),A,k4_subset_1(k6_glib_000(A),B,k6_domain_1(k6_glib_000(A),C)),k21_glib_000(A,k4_subset_1(k6_glib_000(A),B,k6_domain_1(k6_glib_000(A),C)))) ) )).
fof(dt_o_3_4_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(k5_dickson(A))) ) => m1_subset_1(o_3_4_dickson(A,B,C),k9_subset_1(u1_struct_0(A),k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_dickson(A),C),B)) ) )).
fof(dt_o_3_4_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & m1_subset_1(C,k1_zfmisc_1(k21_glib_000(A,B))) ) => m2_glib_000(o_3_4_glib_004(A,B,C),A,B,C) ) )).
fof(dt_o_3_4_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(C,k1_zfmisc_1(k6_glib_000(A))) ) => m1_subset_1(o_3_4_glib_005(A,B,C),k9_subset_1(k7_glib_000(A),k23_glib_000(A,k2_xboole_0(C,k1_tarski(o_3_2_glib_005(A,B,C))),k6_subset_1(k6_glib_000(A),k2_xboole_0(C,k1_tarski(o_3_2_glib_005(A,B,C))))),k23_glib_000(A,C,k1_tarski(o_3_2_glib_005(A,B,C))))) ) )).
fof(dt_o_3_4_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v1_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) & v7_ordinal1(C) ) => m3_simplex0(o_3_4_simplex1(A,B,C),B,C) ) )).
fof(dt_o_3_4_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) ) => m2_waybel21(o_3_4_waybel21(A,B,C),A,B,C) ) )).
fof(dt_o_3_4_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_yellow_6(C,A,k4_waybel17(A,B)) ) => m1_subset_1(o_3_4_waybel28(A,B,C),u1_struct_0(C)) ) )).
fof(dt_o_3_4_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k4_yellow_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => m2_subset_1(o_3_4_waybel_3(A,B,C),u1_struct_0(k4_yellow_1(A,B)),C) ) )).
fof(dt_o_3_4_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_waybel_5(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_4_waybel_5(A,B,C),a_3_1_waybel_5(A,B,C)) ) )).
fof(dt_o_3_4_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) ) => m1_subset_1(o_3_4_yellow19(A,B,C),k9_yellow_6(A,C)) ) )).
fof(dt_o_3_4_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) & v4_waybel_3(C) & m3_yellow_6(C,u1_struct_0(B),A) ) => m1_subset_1(o_3_4_yellow_6(A,B,C),u1_struct_0(k4_yellow_1(u1_struct_0(B),C))) ) )).
fof(dt_o_3_4_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => m1_subset_1(o_3_4_zf_fund2(A,B,C),a_3_1_zf_fund2(A,B,C)) ) )).
fof(dt_o_3_4_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_zmodul01(B) & m1_zmodul01(B,A) & v1_zmodul01(C) & m1_zmodul01(C,A) ) => m1_subset_1(o_3_4_zmodul01(A,B,C),k6_subset_1(u1_struct_0(C),u1_struct_0(B))) ) )).
fof(dt_o_3_5_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ( v4_msualg_1(o_3_5_aofa_a01(A,B,C),A) & v4_msafree4(o_3_5_aofa_a01(A,B,C),A,C) & v17_aofa_a00(o_3_5_aofa_a01(A,B,C),A) & v20_aofa_a00(o_3_5_aofa_a01(A,B,C),4,1,A) & v22_aofa_a00(o_3_5_aofa_a01(A,B,C),A,1,1,11) & l3_msualg_1(o_3_5_aofa_a01(A,B,C),A) ) ) )).
fof(dt_o_3_5_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_chord(B,A) & v7_ordinal1(C) ) => m2_glib_000(o_3_5_chord(A,B,C),A,k4_chord(A,B,C),k21_glib_000(A,k4_chord(A,B,C))) ) )).
fof(dt_o_3_5_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : m1_subset_1(o_3_5_finseq_3(A,B,C),k3_xboole_0(k2_tarski(A,B),k1_tarski(C))) )).
fof(dt_o_3_5_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v1_glib_004(B,A) & m1_glib_000(B,A) & v7_ordinal1(C) ) => ( v1_glib_003(o_3_5_glib_004(A,B,C)) & v4_glib_003(o_3_5_glib_004(A,B,C),A) & m2_glib_000(o_3_5_glib_004(A,B,C),A,k6_glib_000(A),k2_xboole_0(k25_glib_000(A,B),k1_tarski(o_2_8_glib_004(A,C)))) ) ) )).
fof(dt_o_3_5_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) ) => m1_subset_1(o_3_5_glib_005(A,B,C),k2_glib_005(A,B,k6_glib_005(A,B,C))) ) )).
fof(dt_o_3_5_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_graph_3(o_3_5_graph_3(A,B,C),u4_struct_0(A),k9_graph_3(A),k13_graph_3(A,C,k6_subset_1(u4_struct_0(A),k10_xtuple_0(B)))) ) )).
fof(dt_o_3_5_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_5_msafree3(A,B,C),k1_funct_1(B,C)) ) )).
fof(dt_o_3_5_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_5_msafree4(A,B,C),k1_funct_1(B,C)) ) )).
fof(dt_o_3_5_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(o_3_5_rmod_4(A,B,C),C) ) )).
fof(dt_o_3_6_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => m2_pboole(o_3_6_aofa_a01(A,B,C),u1_struct_0(A),k1_aofa_a01(A,B,C),u3_msualg_1(A,o_3_5_aofa_a01(A,B,C))) ) )).
fof(dt_o_3_6_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_chord(B,A) & m1_subset_1(C,k6_glib_000(A)) ) => m2_glib_000(o_3_6_chord(A,B,C),A,k4_chord(A,B,k3_chord(A,B,C)),k21_glib_000(A,k4_chord(A,B,k3_chord(A,B,C)))) ) )).
fof(dt_o_3_6_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_subset_1(o_3_6_mmlquery(A,B,C),k1_mmlquery(A,C,B)) ) )).
fof(dt_o_3_6_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) ) => m1_subset_1(o_3_6_msafree4(A,B,C),k1_funct_1(B,C)) ) )).
fof(dt_o_3_6_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) ) => m1_subset_1(o_3_6_waybel_6(A,B,C),k1_funct_1(B,C)) ) )).
fof(dt_o_3_7_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_msafree4(o_3_7_msafree4(A,B,C),u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) ) )).
fof(dt_o_3_7_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => m2_subset_1(o_3_7_topgen_2(A,B,C),k1_zfmisc_1(B),C) ) )).
fof(dt_o_3_7_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_3_7_topreal3(A,B,C),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k17_euclid(B),k18_euclid(C)),C),k1_rltopsp1(k15_euclid(2),A,B))) ) )).
fof(dt_o_3_8_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ( v1_funct_1(o_3_8_group_9(A,B,C)) & v1_funct_2(o_3_8_group_9(A,B,C),k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & v3_funct_2(o_3_8_group_9(A,B,C),k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & m1_subset_1(o_3_8_group_9(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))))) ) ) )).
fof(dt_o_3_8_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(o_3_8_msafree4(A,B,C),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),C)) ) )).
fof(dt_o_3_8_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m4_pua2mss1(B,A) & m2_finseq_2(C,k10_pua2mss1(A,B),k3_finseq_2(k10_pua2mss1(A,B))) ) => m1_subset_1(o_3_8_pua2mss1(A,B,C),k4_card_3(C)) ) )).
fof(dt_o_3_8_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_3_8_topreal3(A,B,C),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k17_euclid(C),k18_euclid(B)),C),k1_rltopsp1(k15_euclid(2),A,B))) ) )).
fof(dt_o_3_9_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(C) ) => m1_subset_1(o_3_9_dickson(A,B,C),a_3_7_dickson(A,B,C)) ) )).
fof(dt_o_3_9_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_msafree4(o_3_9_msafree4(A,B,C),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),C)) ) )).
fof(dt_o_3_9_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) ) => m1_subset_1(o_3_9_pua2mss1(A,B,C),k3_msualg_1(A,C,B)) ) )).
fof(dt_o_4_0_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v16_aofa_a00(B) & l6_aofa_a00(B) & ~ v1_xboole_0(C) & v3_msualg_1(D,B) & v4_msualg_1(D,B) & v17_aofa_a00(D,B) & l3_msualg_1(D,B) ) => m2_pboole(o_4_0_aofa_a00(A,B,C,D),u4_struct_0(B),k3_msafree4(k3_finseq_2(u1_struct_0(B)),u4_struct_0(B),u1_msualg_1(B),k6_finseq_2(u1_struct_0(B),k1_aofa_a00(u1_struct_0(B),u3_msualg_1(B,D),A,C))),k3_msafree4(u1_struct_0(B),u4_struct_0(B),u2_msualg_1(B),k1_aofa_a00(u1_struct_0(B),u3_msualg_1(B,D),A,C))) ) )).
fof(dt_o_4_0_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,u1_struct_0(k5_cat_4(A,B))) & m1_subset_1(D,u1_struct_0(k5_cat_4(A,B))) ) => m1_cat_1(o_4_0_cat_4(A,B,C,D),k5_cat_4(A,B),D,C) ) )).
fof(dt_o_4_0_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & m2_glib_000(C,A,B,k21_glib_000(A,B)) & m1_subset_1(D,k6_glib_000(C)) ) => m1_chord(o_4_0_chord(A,B,C,D),C,k6_domain_1(k6_glib_000(C),D)) ) )).
fof(dt_o_4_0_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_001(B,A) & m3_glib_001(B,A) & ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) & ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( v5_glib_001(o_4_0_glib_001(A,B,C,D),A) & m4_glib_001(o_4_0_glib_001(A,B,C,D),A,k8_glib_001(A,k20_glib_001(A,B,C,k3_finseq_1(B)),k1_nat_1(k2_nat_1(2,k5_numbers),1),D)) ) ) )).
fof(dt_o_4_0_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) & m2_glib_000(C,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1))),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1)))) & m1_glib_000(D,C) ) => m1_subset_1(o_4_0_glib_004(A,B,C,D),k6_glib_000(D)) ) )).
fof(dt_o_4_0_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) ) => m1_subset_1(o_4_0_glib_005(A,B,C,D),k2_glib_005(A,B,k4_glib_005(A,B,k5_glib_005(A,B,C),D))) ) )).
fof(dt_o_4_0_goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_4_0_goboard4(A,B,C,D),k3_xboole_0(k10_xtuple_0(k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,C),B)),k10_xtuple_0(D))) ) )).
fof(dt_o_4_0_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & m2_finseq_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) & m1_subset_1(D,C) ) => m1_subset_1(o_4_0_hallmar1(A,B,C,D),k1_funct_1(B,D)) ) )).
fof(dt_o_4_0_hilbert4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k1_hilbert1) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_funct_2(C,k3_hilbert3(k7_hilbert4(A),B),k3_hilbert3(k7_hilbert4(A),B)) & v3_funct_2(C,k3_hilbert3(k7_hilbert4(A),B),k3_hilbert3(k7_hilbert4(A),B)) & v1_partit_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(k7_hilbert4(A),B),k3_hilbert3(k7_hilbert4(A),B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_relset_1(k3_hilbert3(k7_hilbert4(A),B),C))) ) => m2_subset_1(o_4_0_hilbert4(A,B,C,D),k1_relset_1(k3_hilbert3(k7_hilbert4(A),B),C),D) ) )).
fof(dt_o_4_0_integr19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,A,k1_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => m4_integr15(o_4_0_integr19(A,B,C,D),B,A,C,D) ) )).
fof(dt_o_4_0_integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => m2_integr18(o_4_0_integr21(A,B,C,D),A,B,C,D) ) )).
fof(dt_o_4_0_isocat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => m2_nattra_1(o_4_0_isocat_1(A,B,C,D),A,B,C,D) ) )).
fof(dt_o_4_0_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => m2_nattra_1(o_4_0_isocat_2(A,B,C,D),A,B,C,D) ) )).
fof(dt_o_4_0_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_4_0_jordan7(A,B,C,D),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,B,C),k1_jordan7(A,D,k18_pscomp_1(A)))) ) )).
fof(dt_o_4_0_kurato_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,u1_struct_0(k14_euclid(A))) & v7_ordinal1(D) ) => m1_subset_1(o_4_0_kurato_2(A,B,C,D),k9_subset_1(u1_struct_0(k14_euclid(A)),B,k8_metric_1(k14_euclid(A),C,k7_xcmplx_0(1,k1_nat_1(D,1))))) ) )).
fof(dt_o_4_0_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(D,A,B,C) ) => m1_subset_1(o_4_0_lmod_7(A,B,C,D),k1_vectsp_6(A,B,D)) ) )).
fof(dt_o_4_0_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m2_orders_1(B,k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) & m2_orders_2(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => m1_subset_1(o_4_0_orders_2(A,B,C,D),k9_subset_1(u1_struct_0(A),k2_orders_2(A,k6_domain_1(u1_struct_0(A),D)),C)) ) )).
fof(dt_o_4_0_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(o_4_0_partfun1(A,B,C,D),k3_xboole_0(k5_partfun1(A,B,C),k5_partfun1(A,B,D))) ) )).
fof(dt_o_4_0_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => m1_subset_1(o_4_0_partfun2(A,B,C,D),k9_subset_1(B,A,k1_relset_1(B,D))) ) )).
fof(dt_o_4_0_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,C) ) => m1_vectsp_5(o_4_0_pencil_4(A,B,C,D),A,C,D) ) )).
fof(dt_o_4_0_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v4_petri_df(A) & l1_petri(A) & v1_finseq_6(B,k2_net_1(A)) & v1_jordan23(B) & v2_petri_df(B,A) & m2_finseq_1(B,k2_net_1(A)) & m2_funct_2(C,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) & m1_subset_1(D,u4_struct_0(A)) ) => m1_petri_df(o_4_0_petri_df(A,B,C,D),u1_struct_0(A),k4_ordinal1,k2_petri_df(A,B),k6_petri_df(A,C,D)) ) )).
fof(dt_o_4_0_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => m1_subset_1(o_4_0_polynom2(A,B,C,D),k3_polynom1(k15_pre_poly(A),B,k11_polynom1(A,B,C,D))) ) )).
fof(dt_o_4_0_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(o_4_0_rfunct_3(A,B,C,D),k8_relat_1(k9_finseq_1(k1_funct_1(B,C)),k1_tarski(D))) ) )).
fof(dt_o_4_0_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) ) => m1_subset_1(o_4_0_rlvect_1(A,B,C,D),k3_xboole_0(k1_tarski(B),k10_xtuple_0(k8_finseq_1(u1_struct_0(A),C,D)))) ) )).
fof(dt_o_4_0_rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k7_domain_1(u1_struct_0(A),B,C)) ) => m1_subset_1(o_4_0_rlvect_3(A,B,C,D),k3_rlvect_2(A,D)) ) )).
fof(dt_o_4_0_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k14_euclid(2))) & m1_subset_1(D,k4_ordinal1) ) => m1_subset_1(o_4_0_topreal4(A,B,C,D),k9_subset_1(u1_struct_0(k15_euclid(2)),k8_metric_1(k14_euclid(2),C,B),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),D,A)))) ) )).
fof(dt_o_4_0_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(B) & m1_trees_2(B,A) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & m1_trees_1(D,A) ) => m1_subset_1(o_4_0_trees_2(A,B,C,D),k7_subset_1(A,B,k2_xboole_0(k1_trees_1(C),k1_tarski(D)))) ) )).
fof(dt_o_4_0_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) & m1_subset_1(C,A) & ~ v1_xboole_0(D) & v1_waybel_0(D,k2_yellow16(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow16(A,B,C)))) ) => m2_subset_1(o_4_0_waybel29(A,B,C,D),u1_struct_0(k2_yellow16(A,B,C)),D) ) )).
fof(dt_o_4_0_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,A) & ~ v1_xboole_0(D) & v1_waybel_0(D,k3_waybel_3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel_3(A,B,C)))) ) => m2_subset_1(o_4_0_waybel_3(A,B,C,D),u1_struct_0(k3_waybel_3(A,B,C)),D) ) )).
fof(dt_o_4_0_waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => m1_subset_1(o_4_0_waybel_7(A,B,C,D),D) ) )).
fof(dt_o_4_0_wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_relat_1(C) & v1_funct_1(C) & v7_ordinal1(D) ) => m1_subset_1(o_4_0_wellfnd1(A,B,C,D),k3_xboole_0(k1_wellord1(u1_orders_2(A),k1_funct_1(C,D)),B)) ) )).
fof(dt_o_4_0_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_altcat_1(A) & l2_altcat_1(A) & v2_altcat_1(B) & l2_altcat_1(B) & m1_subset_1(C,u1_struct_0(k2_yellow20(A,B))) & m1_subset_1(D,u1_struct_0(k2_yellow20(A,B))) ) => m1_subset_1(o_4_0_yellow20(A,B,C,D),k1_altcat_1(k2_yellow20(A,B),C,D)) ) )).
fof(dt_o_4_0_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m3_yellow_6(C,u1_struct_0(B),A) & m1_subset_1(D,u1_struct_0(B)) ) => m1_subset_1(o_4_0_yellow_6(A,B,C,D),u1_struct_0(k6_yellow_6(u1_struct_0(B),A,C,D))) ) )).
fof(dt_o_4_0_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) & m1_subset_1(D,B) ) => m1_subset_1(o_4_0_zf_fund2(A,B,C,D),k7_relset_1(B,B,k1_zfmodel1(A,B,C),D)) ) )).
fof(dt_o_4_0_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m2_zmodul02(D,A,k7_domain_1(u1_struct_0(A),B,C)) ) => m1_subset_1(o_4_0_zmodul02(A,B,C,D),k18_zmodul02(A,D)) ) )).
fof(dt_o_4_0_zmodul06,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) & v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) & v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) & v1_zmodul03(D) & v2_zmodul03(D) & m1_zmodul01(D,k6_zmodul01(A,B,C)) ) => m1_zmodul03(o_4_0_zmodul06(A,B,C,D),D) ) )).
fof(dt_o_4_10_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_4_10_dickson(A,B,C,D),a_4_11_dickson(A,B,C,D)) ) )).
fof(dt_o_4_1_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,u1_struct_0(k23_cat_4(A,B))) & m1_subset_1(D,u1_struct_0(k23_cat_4(A,B))) ) => m1_cat_1(o_4_1_cat_4(A,B,C,D),k23_cat_4(A,B),C,D) ) )).
fof(dt_o_4_1_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) ) => m2_glib_000(o_4_1_chord(A,B,C,D),A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) ) )).
fof(dt_o_4_1_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_dickson(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_dickson(A,B)))) ) => m1_subset_1(o_4_1_dickson(A,B,C,D),k1_funct_1(C,D)) ) )).
fof(dt_o_4_1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => m2_subset_1(o_4_1_fomodel3(A,B,C,D),k15_fomodel1(A),k7_subset_1(k15_fomodel1(A),k16_fomodel1(A),k2_xboole_0(k2_xboole_0(k10_xtuple_0(C),k10_xtuple_0(k37_fomodel2(A,D))),k6_domain_1(k1_fomodel1(A),B)))) ) )).
fof(dt_o_4_1_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v1_glib_004(B,A) & m1_glib_000(B,A) & v7_ordinal1(C) ) => ( v1_glib_003(o_4_1_glib_004(A,B,C,D)) & v4_glib_003(o_4_1_glib_004(A,B,C,D),o_3_5_glib_004(A,B,C)) & m2_glib_000(o_4_1_glib_004(A,B,C,D),o_3_5_glib_004(A,B,C),k6_glib_000(o_3_5_glib_004(A,B,C)),k6_subset_1(k7_glib_000(o_3_5_glib_004(A,B,C)),k1_tarski(D))) ) ) )).
fof(dt_o_4_1_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) ) => m1_subset_1(o_4_1_glib_005(A,B,C,D),k2_glib_005(A,B,k4_glib_005(A,B,k5_glib_005(A,B,C),D))) ) )).
fof(dt_o_4_1_goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(o_4_1_goboard4(A,B,C,D),k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D)))) ) )).
fof(dt_o_4_1_integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => m2_integr18(o_4_1_integr21(A,B,C,D),B,A,C,D) ) )).
fof(dt_o_4_1_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( l1_msualg_1(A) => m1_subset_1(o_4_1_msafree3(A,B,C,D),k1_funct_1(k2_msafree3(A,k1_trees_4(k4_tarski(C,B))),D)) ) )).
fof(dt_o_4_1_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m2_orders_1(C,k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) & m2_orders_2(D,A,C) ) => m1_subset_1(o_4_1_orders_2(A,B,C,D),k9_subset_1(u1_struct_0(A),k2_orders_2(A,k6_domain_1(u1_struct_0(A),B)),D)) ) )).
fof(dt_o_4_1_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => m1_subset_1(o_4_1_partfun2(A,B,C,D),k9_subset_1(B,k1_tarski(A),k1_relset_1(B,D))) ) )).
fof(dt_o_4_1_pencil_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & v7_vectsp_1(D,A) & m1_vectsp_4(D,A,C) ) => ( v2_vectsp_7(o_4_1_pencil_4(A,B,C,D),A,D) & m1_subset_1(o_4_1_pencil_4(A,B,C,D),k1_zfmisc_1(u1_struct_0(D))) ) ) )).
fof(dt_o_4_1_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ( v1_funct_1(o_4_1_petri_3(A,B,C,D)) & v1_funct_2(o_4_1_petri_3(A,B,C,D),k8_petri_2(k1_petri_3(A,B,C)),u1_struct_0(k1_petri_3(A,B,D))) & m1_subset_1(o_4_1_petri_3(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(k1_petri_3(A,B,C)),u1_struct_0(k1_petri_3(A,B,D))))) ) ) )).
fof(dt_o_4_1_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(o_4_1_rfunct_3(A,B,C,D),k8_relset_1(A,k1_numbers,k2_partfun1(A,k1_numbers,B,k1_tarski(C)),k1_tarski(D))) ) )).
fof(dt_o_4_1_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) & m2_subset_1(C,k16_substut1(A),k38_substut1(A)) & m1_substut1(D,A,k7_sublemma(A,C,B)) ) => m2_subset_1(o_4_1_sublemma(A,B,C,D),k1_qc_lang1(A),k12_substut1(A,k22_qc_lang1(A,k2_sublemma(A,k9_sublemma(A,k7_sublemma(A,C,B),D))),k7_substut1(A,k21_qc_lang1(A,k2_sublemma(A,k9_sublemma(A,k7_sublemma(A,C,B),D))),k2_sublemma(A,k9_sublemma(A,k7_sublemma(A,C,B),D)),k19_substut1(A,k9_sublemma(A,k7_sublemma(A,C,B),D))))) ) )).
fof(dt_o_4_1_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k14_euclid(2))) & m1_subset_1(D,k4_ordinal1) ) => m1_subset_1(o_4_1_topreal4(A,B,C,D),k9_subset_1(u1_struct_0(k14_euclid(2)),k2_topreal1(2,A,D),k8_metric_1(k14_euclid(2),C,B))) ) )).
fof(dt_o_4_1_wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(D) ) => m1_subset_1(o_4_1_wellfnd1(A,B,C,D),k3_xboole_0(k1_wellord1(u1_orders_2(A),k8_nat_1(u1_struct_0(A),C,D)),B)) ) )).
fof(dt_o_4_1_yellow17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & m1_subset_1(D,k1_zfmisc_1(k1_funct_1(A,B))) ) => m1_subset_1(o_4_1_yellow17(A,B,C,D),k3_xboole_0(k8_relat_1(k12_card_3(A,B),k1_tarski(C)),k8_relat_1(k12_card_3(A,B),D))) ) )).
fof(dt_o_4_2_ali2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_xreal_0(C) & v7_ordinal1(D) ) => m1_subset_1(o_4_2_ali2(A,B,C,D),a_4_0_ali2(A,B,C,D)) ) )).
fof(dt_o_4_2_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) ) => m2_glib_000(o_4_2_chord(A,B,C,D),A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) ) )).
fof(dt_o_4_2_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_dickson(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_dickson(A,B)))) & m1_subset_1(D,k4_ordinal1) ) => m1_subset_1(o_4_2_dickson(A,B,C,D),k8_nat_1(k6_dickson(A,B),C,D)) ) )).
fof(dt_o_4_2_goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_4_2_goboard4(A,B,C,D),k3_xboole_0(k10_xtuple_0(k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),B,D),C)),k10_xtuple_0(A))) ) )).
fof(dt_o_4_2_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m5_index_1(D,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B),k7_isocat_1(B)) ) => m4_index_1(o_4_2_index_1(A,B,C,D),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),k14_index_1(A,B,B,C,D)) ) )).
fof(dt_o_4_2_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & v2_vectsp_2(C,A) & m1_rmod_2(C,A,B) & v2_vectsp_2(D,A) & m1_rmod_2(D,A,B) ) => m1_subset_1(o_4_2_rmod_2(A,B,C,D),k6_subset_1(u1_struct_0(C),u1_struct_0(D))) ) )).
fof(dt_o_4_2_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) ) => m1_subset_1(o_4_2_rmod_4(A,B,C,D),k3_xboole_0(k10_xtuple_0(D),k10_xtuple_0(C))) ) )).
fof(dt_o_4_2_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) & v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => m1_subset_1(o_4_2_vectsp_4(A,B,C,D),k6_subset_1(u1_struct_0(C),u1_struct_0(D))) ) )).
fof(dt_o_4_2_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) ) => m1_subset_1(o_4_2_vectsp_6(A,B,C,D),k3_xboole_0(k10_xtuple_0(D),k10_xtuple_0(C))) ) )).
fof(dt_o_4_3_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,C,B) ) => m2_glib_000(o_4_3_chord(A,B,C,D),A,D,k21_glib_000(A,D)) ) )).
fof(dt_o_4_3_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_dickson(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_dickson(A,B)))) & v7_ordinal1(D) ) => m1_subset_1(o_4_3_dickson(A,B,C,D),k8_nat_1(k6_dickson(A,B),C,D)) ) )).
fof(dt_o_4_3_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_orders_1(C,k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) & m2_orders_2(D,A,C) ) => m1_subset_1(o_4_3_orders_2(A,B,C,D),k7_subset_1(u1_struct_0(A),B,D)) ) )).
fof(dt_o_4_3_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_qc_lang4(C,A,B) & m1_qc_lang4(D,A,C) ) => m2_qc_lang4(o_4_3_qc_lang4(A,B,C,D),A,C,D) ) )).
fof(dt_o_4_3_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & v2_vectsp_2(C,A) & m1_rmod_2(C,A,B) & v2_vectsp_2(D,A) & m1_rmod_2(D,A,B) ) => m1_subset_1(o_4_3_rmod_2(A,B,C,D),k6_subset_1(u1_struct_0(D),u1_struct_0(C))) ) )).
fof(dt_o_4_3_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) & v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => m1_subset_1(o_4_3_vectsp_4(A,B,C,D),k6_subset_1(u1_struct_0(D),u1_struct_0(C))) ) )).
fof(dt_o_4_3_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ( v1_pre_topc(o_4_3_yellow12(A,B,C,D)) & m3_yellow_9(o_4_3_yellow12(A,B,C,D),k2_borsuk_1(A,C),k2_borsuk_1(B,D)) ) ) )).
fof(dt_o_4_4_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) ) => m2_glib_000(o_4_4_chord(A,B,C,D),A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) ) )).
fof(dt_o_4_4_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_relat_1(C) & v1_funct_1(C) & v7_ordinal1(D) ) => m1_subset_1(o_4_4_dickson(A,B,C,D),k7_subset_1(u1_struct_0(A),k9_subset_1(u1_struct_0(A),k1_wellord1(u1_orders_2(A),k1_funct_1(C,D)),B),k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_dickson(A),k1_funct_1(C,D)))) ) )).
fof(dt_o_4_5_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) ) => m2_glib_000(o_4_5_chord(A,B,C,D),A,D,k21_glib_000(A,D)) ) )).
fof(dt_o_4_5_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,k4_ordinal1) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_4_5_dickson(A,B,C,D),a_4_6_dickson(A,B,C,D)) ) )).
fof(dt_o_4_5_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,B,k1_msafree3(A,C))) ) => m1_subset_1(o_4_5_msafree5(A,B,C,D),k4_finseq_1(D)) ) )).
fof(dt_o_4_8_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_msualg_6(B,A) & l3_msualg_1(B,A) & m1_msualg_2(C,A,B) & m1_subset_1(D,u4_struct_0(A)) ) => m1_subset_1(o_4_8_msafree3(A,B,C,D),k3_msualg_1(A,D,C)) ) )).
fof(dt_o_4_8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v6_msafree5(C) & v1_finset_1(D) ) => m2_subset_1(o_4_8_msafree5(A,B,C,D),k1_msafree4(u1_struct_0(A),C,B),k6_subset_1(k1_msafree4(u1_struct_0(A),C,B),D)) ) )).
fof(dt_o_4_9_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & m1_subset_1(C,u1_struct_0(A)) & v1_finset_1(D) ) => m2_subset_1(o_4_9_msafree5(A,B,C,D),k1_msafree4(u1_struct_0(A),B,C),k6_subset_1(k1_msafree4(u1_struct_0(A),B,C),D)) ) )).
fof(dt_o_5_0_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) & m1_subset_1(E,k6_glib_000(o_4_2_chord(A,B,C,D))) ) => m2_glib_000(o_5_0_chord(A,B,C,D,E),o_4_2_chord(A,B,C,D),k1_glib_002(o_4_2_chord(A,B,C,D),E),k21_glib_000(o_4_2_chord(A,B,C,D),k1_glib_002(o_4_2_chord(A,B,C,D),E))) ) )).
fof(dt_o_5_0_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_5_0_dickson(A,B,C,D,E),a_5_1_dickson(A,B,C,D,E)) ) )).
fof(dt_o_5_0_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) & v2_glib_001(B,A) & v5_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) & v2_glib_001(E,A) & v5_glib_001(E,A) & m3_glib_001(E,A) ) => ( v2_glib_001(o_5_0_glib_004(A,B,C,D,E),A) & v5_glib_001(o_5_0_glib_004(A,B,C,D,E),A) & m4_glib_001(o_5_0_glib_004(A,B,C,D,E),A,k7_glib_001(A,k7_glib_001(A,k8_glib_001(A,B,1,C),E),k8_glib_001(A,B,D,k3_finseq_1(B)))) ) ) )).
fof(dt_o_5_0_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) & v7_ordinal1(E) ) => m1_subset_1(o_5_0_glib_005(A,B,C,D,E),k2_glib_005(A,B,k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,E)))) ) )).
fof(dt_o_5_0_goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) & v7_ordinal1(E) ) => m1_subset_1(o_5_0_goboard4(A,B,C,D,E),k3_xboole_0(k10_xtuple_0(k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),B,D),C)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,E)))) ) )).
fof(dt_o_5_0_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_subset_1(E,k4_ordinal1) ) => m1_subset_1(o_5_0_groeb_3(A,B,C,D,E),k3_xboole_0(k3_groeb_3(A,B,C,D,E),k4_xboole_0(k3_polynom1(k15_pre_poly(A),C,D),k3_groeb_3(A,B,C,D,E)))) ) )).
fof(dt_o_5_0_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) & m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & v3_cat_5(D) & l1_cat_1(D) & m2_cat_1(E,C,D) ) => m4_index_1(o_5_0_index_1(A,B,C,D,E),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),k15_index_1(A,B,C,D,E)) ) )).
fof(dt_o_5_0_integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & v3_lopban_1(C) & l1_normsp_1(C) & v1_funct_1(D) & v1_funct_2(D,k3_integra5(A,B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_integra5(A,B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(k3_integra5(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(A,B))))) ) => m2_integr18(o_5_0_integr20(A,B,C,D,E),C,k3_integra5(A,B),D,E) ) )).
fof(dt_o_5_0_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(o_5_0_jordan7(A,B,C,D,E),k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,B,C),k1_jordan7(A,D,E))) ) )).
fof(dt_o_5_0_measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_measure3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_measure3(A,B,C)))) & m1_subset_1(E,k4_ordinal1) ) => m2_subset_1(o_5_0_measure3(A,B,C,D,E),k1_zfmisc_1(A),k3_measure3(A,B,C,k8_nat_1(k2_measure3(A,B,C),D,E))) ) )).
fof(dt_o_5_0_mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k7_domain_1(u1_struct_0(B),C,D)) ) => m1_subset_1(o_5_0_mod_3(A,B,C,D,E),k1_vectsp_6(A,B,E)) ) )).
fof(dt_o_5_0_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => m1_subset_1(o_5_0_msafree3(A,B,C,D,E),k1_funct_1(k3_msafree3(A,B,k1_trees_4(k4_tarski(D,C))),E)) ) )).
fof(dt_o_5_0_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => m1_algspec1(o_5_0_msafree4(A,B,C,D,E),k2_msafree4(A,B,C,D,E)) ) )).
fof(dt_o_5_0_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => m1_subset_1(o_5_0_partfun2(A,B,C,D,E),k9_subset_1(C,k3_xboole_0(A,B),k1_relset_1(C,E))) ) )).
fof(dt_o_5_0_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_prob_4(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_prob_4(A,B,C)))) & m1_subset_1(E,k4_ordinal1) ) => m2_subset_1(o_5_0_prob_4(A,B,C,D,E),k1_zfmisc_1(A),k6_prob_4(A,B,C,k3_funct_2(k4_ordinal1,k4_prob_4(A,B,C),D,E))) ) )).
fof(dt_o_5_0_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) & m1_rlsub_1(C,A) & m2_rlsub_1(D,A,B) & m2_rlsub_1(E,A,C) ) => m1_subset_1(o_5_0_rlsub_2(A,B,C,D,E),k9_subset_1(u1_struct_0(A),D,E)) ) )).
fof(dt_o_5_0_rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m2_rlvect_2(E,A,k8_domain_1(u1_struct_0(A),B,C,D)) ) => m1_subset_1(o_5_0_rlvect_4(A,B,C,D,E),k3_rlvect_2(A,E)) ) )).
fof(dt_o_5_0_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) & m1_rusub_1(C,A) & m2_rusub_1(D,A,B) & m2_rusub_1(E,A,C) ) => m1_subset_1(o_5_0_rusub_2(A,B,C,D,E),k9_subset_1(u1_struct_0(A),D,E)) ) )).
fof(dt_o_5_0_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => m1_borsuk_6(o_5_0_topalg_3(A,B,C,D,E),A,B,C,D,E) ) )).
fof(dt_o_5_0_urysohn1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A))))) & m2_subset_1(D,k1_numbers,k1_urysohn1(B)) & m2_subset_1(E,k1_numbers,k1_urysohn1(B)) ) => m1_urysohn1(o_5_0_urysohn1(A,B,C,D,E),A,k3_funct_2(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A)),C,D),k3_funct_2(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A)),C,E)) ) )).
fof(dt_o_5_0_vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k7_domain_1(u1_struct_0(B),C,D)) ) => m1_subset_1(o_5_0_vectsp_7(A,B,C,D,E),k1_vectsp_6(A,B,E)) ) )).
fof(dt_o_5_0_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_connsp_2(D,A,C) & m1_yellow19(E,A,B) ) => m1_subset_1(o_5_0_yellow19(A,B,C,D,E),k9_subset_1(u1_struct_0(A),E,k1_tops_1(A,D))) ) )).
fof(dt_o_5_0_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_zmodul01(C,A) & m2_zmodul01(D,A,B) & m2_zmodul01(E,A,C) ) => m1_subset_1(o_5_0_zmodul01(A,B,C,D,E),k9_subset_1(u1_struct_0(A),D,E)) ) )).
fof(dt_o_5_11_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_5_11_dickson(A,B,C,D,E),a_5_12_dickson(A,B,C,D,E)) ) )).
fof(dt_o_5_1_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => m2_cat_7(o_5_1_cat_7(A,B,C,D,E),A,B,C,D,E) ) )).
fof(dt_o_5_1_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) & m1_subset_1(E,k6_glib_000(o_4_4_chord(A,B,C,D))) ) => m2_glib_000(o_5_1_chord(A,B,C,D,E),A,k2_xboole_0(k1_glib_002(o_4_4_chord(A,B,C,D),E),D),k21_glib_000(A,k2_xboole_0(k1_glib_002(o_4_4_chord(A,B,C,D),E),D))) ) )).
fof(dt_o_5_1_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) & v7_ordinal1(E) ) => m1_subset_1(o_5_1_glib_005(A,B,C,D,E),k2_glib_005(A,B,k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,E)))) ) )).
fof(dt_o_5_1_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & v1_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_subset_1(E,k4_ordinal1) ) => m1_subset_1(o_5_1_groeb_3(A,B,C,D,E),k3_groeb_3(A,B,C,D,E)) ) )).
fof(dt_o_5_1_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m2_rlaffin3(C,k15_euclid(A),B) & m1_subset_1(E,k4_ordinal1) ) => m1_subset_1(o_5_1_simplex2(A,B,C,D,E),k7_subset_1(k4_ordinal1,k4_finseq_1(C),k2_xboole_0(D,k6_domain_1(k4_ordinal1,E)))) ) )).
fof(dt_o_5_1_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_borsuk_2(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_borsuk_2(o_5_1_topalg_3(A,B,C,D,E),B,D,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,C)) ) )).
fof(dt_o_5_2_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & v1_polynom7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => m1_subset_1(o_5_2_groeb_3(A,B,C,D,E),k3_xboole_0(k1_tarski(k3_termord(A,B,C,E)),k4_groeb_3(A,B,C,E,D))) ) )).
fof(dt_o_5_2_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_polynom5(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => m1_matrlin(o_5_2_matrixj2(A,B,C,D,E),A,k3_ranknull(A,B,B,k1_vectsp11(B,k3_matrlin(A,B,B,C,k4_matrlin(A,B,B,k3_struct_0(B),k4_algstr_0(A,D))),E))) ) )).
fof(dt_o_5_3_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_5_3_dickson(A,B,C,D,E),a_5_4_dickson(A,B,C,D,E)) ) )).
fof(dt_o_5_3_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_subset_1(E,k4_ordinal1) ) => m1_subset_1(o_5_3_groeb_3(A,B,C,D,E),k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,E))) ) )).
fof(dt_o_5_3_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v6_msafree5(C) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => m1_subset_1(o_5_3_msafree5(A,B,C,D,E),k10_relat_1(E,k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B))) ) )).
fof(dt_o_5_4_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_subset_1(E,k4_ordinal1) ) => m1_subset_1(o_5_4_groeb_3(A,B,C,D,E),k3_xboole_0(k1_tarski(k3_termord(A,B,C,k6_groeb_3(A,B,C,D,E))),k3_polynom1(k15_pre_poly(A),C,k6_groeb_3(A,B,C,D,k1_nat_1(E,1))))) ) )).
fof(dt_o_5_5_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m2_finseq_1(D,k3_card_3(B)) & v18_msafree5(E,A,B,C) & m2_finseq_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( v2_funct_1(o_5_5_msafree5(A,B,C,D,E)) & v17_msafree5(o_5_5_msafree5(A,B,C,D,E),A,B,C) & v20_msafree5(o_5_5_msafree5(A,B,C,D,E),A,B,C,D) & v22_msafree5(o_5_5_msafree5(A,B,C,D,E),A,B,C,E) & m2_finseq_1(o_5_5_msafree5(A,B,C,D,E),k3_card_3(B)) ) ) )).
fof(dt_o_5_7_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & v5_valued_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(o_5_7_dickson(A,B,C,D,E),a_5_8_dickson(A,B,C,D,E)) ) )).
fof(dt_o_6_0_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m2_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => m1_subset_1(o_6_0_aofa_i00(A,B,C,D,E,F),a_6_1_aofa_i00(A,B,C,D,E,F)) ) )).
fof(dt_o_6_0_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_cat_3(D,B,C,A) & m1_subset_1(E,u1_struct_0(B)) ) => m1_subset_1(o_6_0_cat_3(A,B,C,D,E,F),k2_cat_1(B,E,k4_graph_1(B,k7_partfun1(u4_struct_0(B),D,F)))) ) )).
fof(dt_o_6_0_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) & m2_glib_000(E,A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) & m1_subset_1(F,k6_glib_000(E)) ) => m2_glib_000(o_6_0_chord(A,B,C,D,E,F),E,k1_glib_002(E,F),k21_glib_000(E,k1_glib_002(E,F))) ) )).
fof(dt_o_6_0_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) & m2_rmod_2(E,A,B,C) & m2_rmod_2(F,A,B,D) ) => m1_subset_1(o_6_0_rmod_3(A,B,C,D,E,F),k9_subset_1(u1_struct_0(B),E,F)) ) )).
fof(dt_o_6_0_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & m2_vectsp_4(E,A,B,C) & m2_vectsp_4(F,A,B,D) ) => m1_subset_1(o_6_0_vectsp_5(A,B,C,D,E,F),k9_subset_1(u1_struct_0(B),E,F)) ) )).
fof(dt_o_6_1_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m2_cat_3(D,B,C,A) & m1_subset_1(E,u1_struct_0(B)) ) => m1_subset_1(o_6_1_cat_3(A,B,C,D,E,F),k2_cat_1(B,k3_graph_1(B,k7_partfun1(u4_struct_0(B),D,F)),E)) ) )).
fof(dt_o_6_2_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v6_msafree5(D) & m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,C,k1_msafree3(A,D))) & v1_finset_1(F) ) => m1_subset_1(o_6_2_msafree5(A,B,C,D,E,F),k6_subset_1(k1_msafree4(u1_struct_0(A),D,B),k2_xboole_0(F,k9_xtuple_0(k10_xtuple_0(k7_msafree5(A,D,C,E)))))) ) )).
fof(dt_o_7_0_yellow_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & v1_relat_1(E) & v1_funct_1(E) & m1_subset_1(G,B) ) => m1_subset_1(o_7_0_yellow_7(A,B,C,D,E,F,G),k6_subset_1(k1_funct_1(C,G),a_6_1_yellow_7(A,B,C,D,E,F))) ) )).
fof(dt_o_8_0_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & m1_subset_1(G,u1_struct_0(E)) & m1_msafree4(H,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),G)) ) => m1_subset_1(o_8_0_aofa_l00(A,B,C,D,E,F,G,H),k6_subset_1(k1_funct_1(D,G),k1_msafree4(u1_struct_0(E),k10_aofa_a00(E,F,G,H),G))) ) )).
fof(dt_o_8_0_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k6_glib_000(A))) & m2_glib_000(F,A,D,k21_glib_000(A,D)) & m1_subset_1(G,k6_glib_000(F)) & m1_subset_1(H,k6_glib_000(F)) ) => m2_glib_000(o_8_0_chord(A,B,C,D,E,F,G,H),A,k2_xboole_0(k2_xboole_0(E,k6_domain_1(k6_glib_000(F),G)),k6_domain_1(k6_glib_000(F),H)),k21_glib_000(A,k2_xboole_0(k2_xboole_0(E,k6_domain_1(k6_glib_000(F),G)),k6_domain_1(k6_glib_000(F),H)))) ) )).
fof(dt_u1_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => m1_subset_1(u1_absred_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_u1_algstr_0,axiom,( ! [A] : ( l1_algstr_0(A) => ( v1_funct_1(u1_algstr_0(A)) & v1_funct_2(u1_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_algstr_0(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_algstr_3,axiom,( ! [A] : ( l1_algstr_3(A) => ( v1_funct_1(u1_algstr_3(A)) & v1_funct_2(u1_algstr_3(A),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_algstr_3(A),k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_altcat_1,axiom,( ! [A] : ( l1_altcat_1(A) => ( v1_relat_1(u1_altcat_1(A)) & v4_relat_1(u1_altcat_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(u1_altcat_1(A)) & v1_partfun1(u1_altcat_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) ) )).
fof(dt_u1_analmetr,axiom,( ! [A] : ( l1_analmetr(A) => m1_subset_1(u1_analmetr(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_u1_analoaf,axiom,( ! [A] : ( l1_analoaf(A) => m1_subset_1(u1_analoaf(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_u1_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l1_aofa_a00(B,A) ) => m2_aofa_a00(u1_aofa_a00(A,B),u1_struct_0(A),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) )).
fof(dt_u1_aofa_l00,axiom,( ! [A] : ( l1_aofa_l00(A) => m1_subset_1(u1_aofa_l00(A),u1_struct_0(A)) ) )).
fof(dt_u1_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => ( ~ v1_xboole_0(u1_armstrng(A)) & v1_finset_1(u1_armstrng(A)) ) ) )).
fof(dt_u1_bcialg_1,axiom,( ! [A] : ( l1_bcialg_1(A) => ( v1_funct_1(u1_bcialg_1(A)) & v1_funct_2(u1_bcialg_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_bcialg_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_bcialg_4,axiom,( ! [A] : ( l1_bcialg_4(A) => ( v1_funct_1(u1_bcialg_4(A)) & v1_funct_2(u1_bcialg_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_bcialg_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_bhsp_1,axiom,( ! [A] : ( l1_bhsp_1(A) => ( v1_funct_1(u1_bhsp_1(A)) & v1_funct_2(u1_bhsp_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(u1_bhsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) ) )).
fof(dt_u1_cat_1,axiom,( ! [A] : ( l1_cat_1(A) => ( v1_funct_1(u1_cat_1(A)) & m1_subset_1(u1_cat_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)),u4_struct_0(A)))) ) ) )).
fof(dt_u1_cat_4,axiom,( ! [A] : ( l1_cat_4(A) => m1_subset_1(u1_cat_4(A),u1_struct_0(A)) ) )).
fof(dt_u1_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v1_funct_1(u1_cat_6(A)) & m1_subset_1(u1_cat_6(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_cayldick,axiom,( ! [A] : ( l1_cayldick(A) => ( v1_funct_1(u1_cayldick(A)) & v1_funct_2(u1_cayldick(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(u1_cayldick(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u1_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_closure1(B,A) ) => m3_pboole(u1_closure1(A,B),u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) )).
fof(dt_u1_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_closure2(B,A) ) => m1_subset_1(u1_closure2(A,B),k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) )).
fof(dt_u1_clvect_1,axiom,( ! [A] : ( l1_clvect_1(A) => ( v1_funct_1(u1_clvect_1(A)) & v1_funct_2(u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_clvect_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_collsp,axiom,( ! [A] : ( l1_collsp(A) => m1_collsp(u1_collsp(A),u1_struct_0(A)) ) )).
fof(dt_u1_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & l1_combgras(C,A,B) ) => ( v1_funct_1(u1_combgras(A,B,C)) & v1_funct_2(u1_combgras(A,B,C),u1_incsp_1(A),u1_incsp_1(B)) & m1_subset_1(u1_combgras(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u1_incsp_1(B)))) ) ) )).
fof(dt_u1_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ( v1_compos_0(u1_compos_1(A)) & v2_compos_0(u1_compos_1(A)) & v3_compos_0(u1_compos_1(A)) & v5_compos_0(u1_compos_1(A)) ) ) )).
fof(dt_u1_conlat_1,axiom,( ! [A] : ( l1_conlat_1(A) => m1_subset_1(u1_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(A)))) ) )).
fof(dt_u1_csspace,axiom,( ! [A] : ( l1_csspace(A) => ( v1_funct_1(u1_csspace(A)) & v1_funct_2(u1_csspace(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_numbers) & m1_subset_1(u1_csspace(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_numbers))) ) ) )).
fof(dt_u1_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => v1_relat_1(u1_e_siec(A)) ) )).
fof(dt_u1_extpro_1,axiom,( ! [A] : ! [B] : ( l1_extpro_1(B,A) => ( v1_funct_1(u1_extpro_1(A,B)) & v1_funct_2(u1_extpro_1(A,B),u1_compos_1(B),k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B))),k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B))))) & m1_subset_1(u1_extpro_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B),k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B))),k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B))))))) ) ) )).
fof(dt_u1_fintopo2,axiom,( ! [A] : ( l1_fintopo2(A) => ( v1_funct_1(u1_fintopo2(A)) & v1_funct_2(u1_fintopo2(A),u1_struct_0(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(u1_fintopo2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) ) )).
fof(dt_u1_fomodel1,axiom,( ! [A] : ( l1_fomodel1(A) => ( v1_funct_1(u1_fomodel1(A)) & v1_funct_2(u1_fomodel1(A),k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers) & m1_subset_1(u1_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers))) ) ) )).
fof(dt_u1_fsm_1,axiom,( ! [A] : ! [B] : ( l1_fsm_1(B,A) => ( v1_funct_1(u1_fsm_1(A,B)) & v1_funct_2(u1_fsm_1(A,B),k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B)) & m1_subset_1(u1_fsm_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B)))) ) ) )).
fof(dt_u1_fsm_2,axiom,( ! [A] : ! [B] : ( l1_fsm_2(B,A) => m1_subset_1(u1_fsm_2(A,B),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_u1_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & l1_fsm_3(C,A,B) ) => m1_subset_1(u1_fsm_3(A,B,C),k1_zfmisc_1(u1_struct_0(C))) ) )).
fof(dt_u1_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l1_struct_0(B) & l1_functor0(C,A,B) ) => ( v1_funct_1(u1_functor0(A,B,C)) & v1_funct_2(u1_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & m1_subset_1(u1_functor0(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))))) ) ) )).
fof(dt_u1_graph_1,axiom,( ! [A] : ( l1_graph_1(A) => ( v1_funct_1(u1_graph_1(A)) & v1_funct_2(u1_graph_1(A),u4_struct_0(A),u1_struct_0(A)) & m1_subset_1(u1_graph_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u1_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( ~ v2_struct_0(u1_grcat_1(A)) & v13_algstr_0(u1_grcat_1(A)) & v3_rlvect_1(u1_grcat_1(A)) & v4_rlvect_1(u1_grcat_1(A)) & l2_algstr_0(u1_grcat_1(A)) ) ) )).
fof(dt_u1_group_9,axiom,( ! [A] : ! [B] : ( l1_group_9(B,A) => ( v1_funct_1(u1_group_9(A,B)) & v1_funct_2(u1_group_9(A,B),A,k1_funct_2(u1_struct_0(B),u1_struct_0(B))) & m1_subset_1(u1_group_9(A,B),k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(u1_struct_0(B),u1_struct_0(B))))) ) ) )).
fof(dt_u1_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => m1_subset_1(u1_gtarski1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) )).
fof(dt_u1_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ~ v1_xboole_0(u1_incsp_1(A)) ) )).
fof(dt_u1_lang1,axiom,( ! [A] : ( l1_lang1(A) => m1_subset_1(u1_lang1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_finseq_2(u1_struct_0(A))))) ) )).
fof(dt_u1_lattices,axiom,( ! [A] : ( l1_lattices(A) => ( v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_lattices(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_memstr_0,axiom,( ! [A] : ! [B] : ( l1_memstr_0(B,A) => ( v1_funct_1(u1_memstr_0(A,B)) & v1_funct_2(u1_memstr_0(A,B),u1_struct_0(B),A) & m1_subset_1(u1_memstr_0(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),A))) ) ) )).
fof(dt_u1_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( v1_funct_1(u1_metric_1(A)) & v1_funct_2(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(u1_metric_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) ) )).
fof(dt_u1_midsp_1,axiom,( ! [A] : ( l1_midsp_1(A) => ( v1_funct_1(u1_midsp_1(A)) & v1_funct_2(u1_midsp_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_midsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_midsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) & l1_midsp_2(B,A) ) => ( ~ v2_struct_0(u1_midsp_2(A,B)) & l2_algstr_0(u1_midsp_2(A,B)) ) ) )).
fof(dt_u1_midsp_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & l1_midsp_3(B,A) ) => ( v1_funct_1(u1_midsp_3(A,B)) & v1_funct_2(u1_midsp_3(A,B),k4_finseq_2(A,u1_struct_0(B)),u1_struct_0(B)) & m1_subset_1(u1_midsp_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,u1_struct_0(B)),u1_struct_0(B)))) ) ) )).
fof(dt_u1_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => m1_subset_1(u1_mmlquery(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_u1_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & l1_mod_2(B,A) ) => ( ~ v2_struct_0(u1_mod_2(A,B)) & v13_algstr_0(u1_mod_2(A,B)) & v8_vectsp_1(u1_mod_2(A,B),A) & v9_vectsp_1(u1_mod_2(A,B),A) & v10_vectsp_1(u1_mod_2(A,B),A) & v11_vectsp_1(u1_mod_2(A,B),A) & v2_rlvect_1(u1_mod_2(A,B)) & v3_rlvect_1(u1_mod_2(A,B)) & v4_rlvect_1(u1_mod_2(A,B)) & l1_vectsp_1(u1_mod_2(A,B),A) ) ) )).
fof(dt_u1_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => m1_subset_1(u1_modelc_2(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_u1_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & l1_modelc_3(B,A) ) => m1_subset_1(u1_modelc_3(A,B),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_u1_msualg_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( v1_funct_1(u1_msualg_1(A)) & v1_funct_2(u1_msualg_1(A),u4_struct_0(A),k3_finseq_2(u1_struct_0(A))) & m1_subset_1(u1_msualg_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k3_finseq_2(u1_struct_0(A))))) ) ) )).
fof(dt_u1_normsp_0,axiom,( ! [A] : ( l1_normsp_0(A) => ( v1_funct_1(u1_normsp_0(A)) & v1_funct_2(u1_normsp_0(A),u1_struct_0(A),k1_numbers) & m1_subset_1(u1_normsp_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(dt_u1_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => m1_subset_1(u1_orders_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_u1_osalg_1,axiom,( ! [A] : ( l1_osalg_1(A) => ( v3_relat_2(u1_osalg_1(A)) & v8_relat_2(u1_osalg_1(A)) & v1_partfun1(u1_osalg_1(A),u4_struct_0(A)) & m1_subset_1(u1_osalg_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)))) ) ) )).
fof(dt_u1_parsp_1,axiom,( ! [A] : ( l1_parsp_1(A) => m1_subset_1(u1_parsp_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_u1_pcs_0,axiom,( ! [A] : ( l1_pcs_0(A) => m1_subset_1(u1_pcs_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_u1_petri,axiom,( ! [A] : ( l1_petri(A) => m1_subset_1(u1_petri(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(A)))) ) )).
fof(dt_u1_petri_2,axiom,( ! [A] : ( l1_petri_2(A) => ( ~ v1_xboole_0(u1_petri_2(A)) & v1_finset_1(u1_petri_2(A)) ) ) )).
fof(dt_u1_polyform,axiom,( ! [A] : ( l1_polyform(A) => ( v1_relat_1(u1_polyform(A)) & v1_funct_1(u1_polyform(A)) & v1_finseq_1(u1_polyform(A)) & v1_pre_poly(u1_polyform(A)) ) ) )).
fof(dt_u1_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(dt_u1_prefer_1,axiom,( ! [A] : ( l1_prefer_1(A) => m1_subset_1(u1_prefer_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_u1_prelamb,axiom,( ! [A] : ( l1_prelamb(A) => ( v1_funct_1(u1_prelamb(A)) & v1_funct_2(u1_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_prelamb(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => ~ v1_xboole_0(u1_qmax_1(A)) ) )).
fof(dt_u1_quantal1,axiom,( ! [A] : ( l3_quantal1(A) => m1_subset_1(u1_quantal1(A),u1_struct_0(A)) ) )).
fof(dt_u1_rewrite3,axiom,( ! [A] : ! [B] : ( l1_rewrite3(B,A) => m1_subset_1(u1_rewrite3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B)))) ) )).
fof(dt_u1_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( ~ v2_struct_0(u1_ringcat1(A)) & v13_algstr_0(u1_ringcat1(A)) & v2_rlvect_1(u1_ringcat1(A)) & v3_rlvect_1(u1_ringcat1(A)) & v4_rlvect_1(u1_ringcat1(A)) & v3_group_1(u1_ringcat1(A)) & v4_vectsp_1(u1_ringcat1(A)) & v5_vectsp_1(u1_ringcat1(A)) & l6_algstr_0(u1_ringcat1(A)) ) ) )).
fof(dt_u1_rlvect_1,axiom,( ! [A] : ( l1_rlvect_1(A) => ( v1_funct_1(u1_rlvect_1(A)) & v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_rlvect_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_robbins1,axiom,( ! [A] : ( l1_robbins1(A) => ( v1_funct_1(u1_robbins1(A)) & v1_funct_2(u1_robbins1(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(u1_robbins1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u1_roughs_4,axiom,( ! [A] : ( l1_roughs_4(A) => ( v1_funct_1(u1_roughs_4(A)) & v1_funct_2(u1_roughs_4(A),k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(u1_roughs_4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_u1_sgraph1,axiom,( ! [A] : ( l1_sgraph1(A) => m1_subset_1(u1_sgraph1(A),k1_zfmisc_1(k2_sgraph1(u1_struct_0(A)))) ) )).
fof(dt_u1_sheffer1,axiom,( ! [A] : ( l1_sheffer1(A) => ( v1_funct_1(u1_sheffer1(A)) & v1_funct_2(u1_sheffer1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_sheffer1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u1_stacks_1,axiom,( ! [A] : ( l1_stacks_1(A) => m1_subset_1(u1_stacks_1(A),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_u1_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ( ~ v1_xboole_0(u1_turing_1(A)) & v1_finset_1(u1_turing_1(A)) ) ) )).
fof(dt_u1_unialg_1,axiom,( ! [A] : ( l1_unialg_1(A) => m2_finseq_1(u1_unialg_1(A),k4_partfun1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A))) ) )).
fof(dt_u1_vectsp_1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_vectsp_1(B,A) ) => ( v1_funct_1(u1_vectsp_1(A,B)) & v1_funct_2(u1_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & m1_subset_1(u1_vectsp_1(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)))) ) ) )).
fof(dt_u1_vectsp_2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_vectsp_2(B,A) ) => ( v1_funct_1(u1_vectsp_2(A,B)) & v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & m1_subset_1(u1_vectsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))) ) ) )).
fof(dt_u1_waybel_0,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_waybel_0(B,A) ) => ( v1_funct_1(u1_waybel_0(A,B)) & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(u1_waybel_0(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) )).
fof(dt_u1_zmodul01,axiom,( ! [A] : ( l1_zmodul01(A) => ( v1_funct_1(u1_zmodul01(A)) & v1_funct_2(u1_zmodul01(A),k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u1_zmodul01(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u2_abcmiz_0,axiom,( ! [A] : ( l1_abcmiz_0(A) => ( v1_funct_1(u2_abcmiz_0(A)) & v1_funct_2(u2_abcmiz_0(A),u1_abcmiz_0(A),u1_abcmiz_0(A)) & m1_subset_1(u2_abcmiz_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_abcmiz_0(A),u1_abcmiz_0(A)))) ) ) )).
fof(dt_u2_algstr_0,axiom,( ! [A] : ( l3_algstr_0(A) => ( v1_funct_1(u2_algstr_0(A)) & v1_funct_2(u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u2_algstr_0(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u2_altcat_1,axiom,( ! [A] : ( l2_altcat_1(A) => m2_pboole(u2_altcat_1(A),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_altcat_1(u1_struct_0(A),u1_altcat_1(A),u1_altcat_1(A)),k2_altcat_1(u1_struct_0(A),u1_altcat_1(A))) ) )).
fof(dt_u2_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => ( v1_relat_1(u2_armstrng(A)) & v2_relat_1(u2_armstrng(A)) & v4_relat_1(u2_armstrng(A),u1_armstrng(A)) & v1_funct_1(u2_armstrng(A)) & v1_partfun1(u2_armstrng(A),u1_armstrng(A)) ) ) )).
fof(dt_u2_cat_4,axiom,( ! [A] : ( l1_cat_4(A) => ( v1_funct_1(u2_cat_4(A)) & v1_funct_2(u2_cat_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u2_cat_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u2_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & l1_combgras(C,A,B) ) => ( v1_funct_1(u2_combgras(A,B,C)) & v1_funct_2(u2_combgras(A,B,C),u2_incsp_1(A),u2_incsp_1(B)) & m1_subset_1(u2_combgras(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A),u2_incsp_1(B)))) ) ) )).
fof(dt_u2_conlat_1,axiom,( ! [A] : ! [B] : ( ( l5_struct_0(A) & l2_conlat_1(B,A) ) => m1_subset_1(u2_conlat_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_u2_e_siec,axiom,( ! [A] : ( l1_e_siec(A) => v1_relat_1(u2_e_siec(A)) ) )).
fof(dt_u2_fsm_1,axiom,( ! [A] : ! [B] : ( l1_fsm_1(B,A) => m1_subset_1(u2_fsm_1(A,B),u1_struct_0(B)) ) )).
fof(dt_u2_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & l2_fsm_3(C,A,B) ) => m1_subset_1(u2_fsm_3(A,B,C),k1_zfmisc_1(u1_struct_0(C))) ) )).
fof(dt_u2_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C,A,B) ) => m1_functor0(u2_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),u1_altcat_1(A),u1_altcat_1(B)) ) )).
fof(dt_u2_graph_1,axiom,( ! [A] : ( l1_graph_1(A) => ( v1_funct_1(u2_graph_1(A)) & v1_funct_2(u2_graph_1(A),u4_struct_0(A),u1_struct_0(A)) & m1_subset_1(u2_graph_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u2_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( ~ v2_struct_0(u2_grcat_1(A)) & v13_algstr_0(u2_grcat_1(A)) & v3_rlvect_1(u2_grcat_1(A)) & v4_rlvect_1(u2_grcat_1(A)) & l2_algstr_0(u2_grcat_1(A)) ) ) )).
fof(dt_u2_gtarski1,axiom,( ! [A] : ( l1_gtarski1(A) => m1_subset_1(u2_gtarski1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))) ) )).
fof(dt_u2_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ~ v1_xboole_0(u2_incsp_1(A)) ) )).
fof(dt_u2_lang1,axiom,( ! [A] : ( l2_lang1(A) => m1_subset_1(u2_lang1(A),u1_struct_0(A)) ) )).
fof(dt_u2_lattices,axiom,( ! [A] : ( l2_lattices(A) => ( v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u2_lattices(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u2_memstr_0,axiom,( ! [A] : ! [B] : ( l1_memstr_0(B,A) => ( v1_relat_1(u2_memstr_0(A,B)) & v4_relat_1(u2_memstr_0(A,B),A) & v1_funct_1(u2_memstr_0(A,B)) & v1_partfun1(u2_memstr_0(A,B),A) ) ) )).
fof(dt_u2_midsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) & l1_midsp_2(B,A) ) => ( v1_funct_1(u2_midsp_2(A,B)) & v1_funct_2(u2_midsp_2(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(u1_midsp_2(A,B))) & m1_subset_1(u2_midsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(u1_midsp_2(A,B))))) ) ) )).
fof(dt_u2_mmlquery,axiom,( ! [A] : ( l1_mmlquery(A) => m1_subset_1(u2_mmlquery(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_mmlquery(A)))) ) )).
fof(dt_u2_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & l1_mod_2(B,A) ) => ( ~ v2_struct_0(u2_mod_2(A,B)) & v13_algstr_0(u2_mod_2(A,B)) & v8_vectsp_1(u2_mod_2(A,B),A) & v9_vectsp_1(u2_mod_2(A,B),A) & v10_vectsp_1(u2_mod_2(A,B),A) & v11_vectsp_1(u2_mod_2(A,B),A) & v2_rlvect_1(u2_mod_2(A,B)) & v3_rlvect_1(u2_mod_2(A,B)) & v4_rlvect_1(u2_mod_2(A,B)) & l1_vectsp_1(u2_mod_2(A,B),A) ) ) )).
fof(dt_u2_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => ( v1_funct_1(u2_modelc_2(A)) & v1_funct_2(u2_modelc_2(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(u2_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u2_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & l1_modelc_3(B,A) ) => m1_subset_1(u2_modelc_3(A,B),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_u2_msualg_1,axiom,( ! [A] : ( l1_msualg_1(A) => ( v1_funct_1(u2_msualg_1(A)) & v1_funct_2(u2_msualg_1(A),u4_struct_0(A),u1_struct_0(A)) & m1_subset_1(u2_msualg_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u2_petri,axiom,( ! [A] : ( l1_petri(A) => m1_subset_1(u2_petri(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u1_struct_0(A)))) ) )).
fof(dt_u2_petri_2,axiom,( ! [A] : ( l1_petri_2(A) => ( v1_relat_1(u2_petri_2(A)) & v1_funct_1(u2_petri_2(A)) ) ) )).
fof(dt_u2_polyform,axiom,( ! [A] : ( l1_polyform(A) => ( v1_relat_1(u2_polyform(A)) & v1_funct_1(u2_polyform(A)) & v1_finseq_1(u2_polyform(A)) & v1_funcop_1(u2_polyform(A)) ) ) )).
fof(dt_u2_prelamb,axiom,( ! [A] : ( l1_prelamb(A) => ( v1_funct_1(u2_prelamb(A)) & v1_funct_2(u2_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u2_prelamb(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u2_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => ~ v1_xboole_0(u2_qmax_1(A)) ) )).
fof(dt_u2_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( ~ v2_struct_0(u2_ringcat1(A)) & v13_algstr_0(u2_ringcat1(A)) & v2_rlvect_1(u2_ringcat1(A)) & v3_rlvect_1(u2_ringcat1(A)) & v4_rlvect_1(u2_ringcat1(A)) & v3_group_1(u2_ringcat1(A)) & v4_vectsp_1(u2_ringcat1(A)) & v5_vectsp_1(u2_ringcat1(A)) & l6_algstr_0(u2_ringcat1(A)) ) ) )).
fof(dt_u2_roughs_4,axiom,( ! [A] : ( l2_roughs_4(A) => ( v1_funct_1(u2_roughs_4(A)) & v1_funct_2(u2_roughs_4(A),k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(u2_roughs_4(A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) ) )).
fof(dt_u2_stacks_1,axiom,( ! [A] : ( l1_stacks_1(A) => ( v1_funct_1(u2_stacks_1(A)) & v1_funct_2(u2_stacks_1(A),k2_zfmisc_1(u1_struct_0(A),u4_struct_0(A)),u4_struct_0(A)) & m1_subset_1(u2_stacks_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(A)),u4_struct_0(A)))) ) ) )).
fof(dt_u2_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => m1_subset_1(u2_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_u2_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ( ~ v1_xboole_0(u2_turing_1(A)) & v1_finset_1(u2_turing_1(A)) ) ) )).
fof(dt_u3_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ( v1_funct_1(u3_abcmiz_0(A)) & v1_funct_2(u3_abcmiz_0(A),u1_struct_0(A),k5_finsub_1(u1_abcmiz_0(A))) & m1_subset_1(u3_abcmiz_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k5_finsub_1(u1_abcmiz_0(A))))) ) ) )).
fof(dt_u3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msafree(C,A,B) & l3_aofa_a00(D,A,B,C) ) => ( v1_funct_1(u3_aofa_a00(A,B,C,D)) & v1_funct_2(u3_aofa_a00(A,B,C,D),k3_card_3(k6_pboole(u1_struct_0(A),C,u3_msualg_1(A,B))),u1_struct_0(D)) & m1_subset_1(u3_aofa_a00(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k3_card_3(k6_pboole(u1_struct_0(A),C,u3_msualg_1(A,B))),u1_struct_0(D)))) ) ) )).
fof(dt_u3_aofa_l00,axiom,( ! [A] : ! [B] : ( l2_aofa_l00(B,A) => ( v1_funct_1(u3_aofa_l00(A,B)) & v1_funct_2(u3_aofa_l00(A,B),k2_zfmisc_1(u2_aofa_l00(A,B),A),u4_struct_0(B)) & m1_subset_1(u3_aofa_l00(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u2_aofa_l00(A,B),A),u4_struct_0(B)))) ) ) )).
fof(dt_u3_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => m1_subset_1(u3_armstrng(A),k1_zfmisc_1(k4_card_3(u2_armstrng(A)))) ) )).
fof(dt_u3_cat_4,axiom,( ! [A] : ( l1_cat_4(A) => ( v1_funct_1(u3_cat_4(A)) & v1_funct_2(u3_cat_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)) & m1_subset_1(u3_cat_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)))) ) ) )).
fof(dt_u3_conlat_1,axiom,( ! [A] : ! [B] : ( ( l5_struct_0(A) & l2_conlat_1(B,A) ) => m1_subset_1(u3_conlat_1(A,B),k1_zfmisc_1(u4_struct_0(A))) ) )).
fof(dt_u3_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & l2_fsm_1(C,A,B) ) => ( v1_funct_1(u3_fsm_1(A,B,C)) & v1_funct_2(u3_fsm_1(A,B,C),k2_zfmisc_1(u1_struct_0(C),A),B) & m1_subset_1(u3_fsm_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),A),B))) ) ) )).
fof(dt_u3_grcat_1,axiom,( ! [A] : ( l1_grcat_1(A) => ( v1_funct_1(u3_grcat_1(A)) & v1_funct_2(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) & m1_subset_1(u3_grcat_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))))) ) ) )).
fof(dt_u3_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => m1_subset_1(u3_incsp_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u2_incsp_1(A)))) ) )).
fof(dt_u3_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & l1_mod_2(B,A) ) => ( v1_funct_1(u3_mod_2(A,B)) & v1_funct_2(u3_mod_2(A,B),u1_struct_0(u1_mod_2(A,B)),u1_struct_0(u2_mod_2(A,B))) & m1_subset_1(u3_mod_2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_mod_2(A,B)),u1_struct_0(u2_mod_2(A,B))))) ) ) )).
fof(dt_u3_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => m1_subset_1(u3_modelc_1(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(dt_u3_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => ( v1_funct_1(u3_modelc_2(A)) & v1_funct_2(u3_modelc_2(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u3_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u3_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & l1_modelc_3(B,A) ) => m1_subset_1(u3_modelc_3(A,B),k1_zfmisc_1(k1_modelc_3(A))) ) )).
fof(dt_u3_msualg_1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) ) => ( v1_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) ) ) )).
fof(dt_u3_prelamb,axiom,( ! [A] : ( l1_prelamb(A) => ( v1_funct_1(u3_prelamb(A)) & v1_funct_2(u3_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u3_prelamb(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u3_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => ( v1_funct_1(u3_qmax_1(A)) & v1_funct_2(u3_qmax_1(A),k2_zfmisc_1(u1_qmax_1(A),u2_qmax_1(A)),k1_qmax_1(k1_numbers,k12_prob_1)) & m1_subset_1(u3_qmax_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_qmax_1(A),u2_qmax_1(A)),k1_qmax_1(k1_numbers,k12_prob_1)))) ) ) )).
fof(dt_u3_ringcat1,axiom,( ! [A] : ( l1_ringcat1(A) => ( v1_funct_1(u3_ringcat1(A)) & v1_funct_2(u3_ringcat1(A),u1_struct_0(u1_ringcat1(A)),u1_struct_0(u2_ringcat1(A))) & m1_subset_1(u3_ringcat1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u1_ringcat1(A)),u1_struct_0(u2_ringcat1(A))))) ) ) )).
fof(dt_u3_stacks_1,axiom,( ! [A] : ( l1_stacks_1(A) => ( v1_funct_1(u3_stacks_1(A)) & v1_funct_2(u3_stacks_1(A),u4_struct_0(A),u4_struct_0(A)) & m1_subset_1(u3_stacks_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(A)))) ) ) )).
fof(dt_u3_struct_0,axiom,( ! [A] : ( l3_struct_0(A) => m1_subset_1(u3_struct_0(A),u1_struct_0(A)) ) )).
fof(dt_u3_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ( v1_funct_1(u3_turing_1(A)) & v1_funct_2(u3_turing_1(A),k2_zfmisc_1(u2_turing_1(A),u1_turing_1(A)),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(u3_turing_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u2_turing_1(A),u1_turing_1(A)),k3_zfmisc_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) ) ) )).
fof(dt_u4_abcmiz_0,axiom,( ! [A] : ( l3_abcmiz_0(A) => ( v1_funct_1(u4_abcmiz_0(A)) & v1_funct_2(u4_abcmiz_0(A),u1_abcmiz_0(A),u1_struct_0(A)) & m1_subset_1(u4_abcmiz_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_abcmiz_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) ) => ( v2_relat_1(u4_aofa_a00(A,B,C,D)) & m1_msafree(u4_aofa_a00(A,B,C,D),A,C) ) ) )).
fof(dt_u4_cat_4,axiom,( ! [A] : ( l1_cat_4(A) => ( v1_funct_1(u4_cat_4(A)) & v1_funct_2(u4_cat_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)) & m1_subset_1(u4_cat_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)))) ) ) )).
fof(dt_u4_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & l3_fsm_1(C,A,B) ) => ( v1_funct_1(u4_fsm_1(A,B,C)) & v1_funct_2(u4_fsm_1(A,B,C),u1_struct_0(C),B) & m1_subset_1(u4_fsm_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),B))) ) ) )).
fof(dt_u4_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ~ v1_xboole_0(u4_incsp_1(A)) ) )).
fof(dt_u4_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => ( v1_funct_1(u4_modelc_1(A)) & v1_funct_2(u4_modelc_1(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(u4_modelc_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u4_modelc_2,axiom,( ! [A] : ( l1_modelc_2(A) => ( v1_funct_1(u4_modelc_2(A)) & v1_funct_2(u4_modelc_2(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u4_modelc_2(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u4_modelc_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & l2_modelc_3(B,A) ) => m1_subset_1(u4_modelc_3(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B)))) ) )).
fof(dt_u4_msualg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => m2_pboole(u4_msualg_1(A,B),u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,B))),k3_relat_1(u2_msualg_1(A),u3_msualg_1(A,B))) ) )).
fof(dt_u4_prelamb,axiom,( ! [A] : ( l2_prelamb(A) => m1_subset_1(u4_prelamb(A),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)))) ) )).
fof(dt_u4_stacks_1,axiom,( ! [A] : ( l1_stacks_1(A) => ( v1_funct_1(u4_stacks_1(A)) & v1_funct_2(u4_stacks_1(A),u4_struct_0(A),u1_struct_0(A)) & m1_subset_1(u4_stacks_1(A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u4_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => m1_subset_1(u4_turing_1(A),u2_turing_1(A)) ) )).
fof(dt_u5_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) ) => m2_pboole(u5_aofa_a00(A,B,C,D),u1_struct_0(A),u4_aofa_a00(A,B,C,D),k13_msafree(A,B)) ) )).
fof(dt_u5_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & l4_aofa_l00(C,A,B) ) => ( v1_funct_1(u5_aofa_l00(A,B,C)) & v1_funct_2(u5_aofa_l00(A,B,C),k2_zfmisc_1(k3_card_3(u3_msualg_1(A,C)),k3_card_3(k6_pboole(u1_struct_0(A),B,u3_msualg_1(A,C)))),k3_card_3(u3_msualg_1(A,C))) & v10_aofa_l00(u5_aofa_l00(A,B,C),u1_struct_0(A),u3_msualg_1(A,C),k3_card_3(k6_pboole(u1_struct_0(A),B,u3_msualg_1(A,C)))) & m1_subset_1(u5_aofa_l00(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A,C)),k3_card_3(k6_pboole(u1_struct_0(A),B,u3_msualg_1(A,C)))),k3_card_3(u3_msualg_1(A,C))))) ) ) )).
fof(dt_u5_cat_4,axiom,( ! [A] : ( l2_cat_4(A) => m1_subset_1(u5_cat_4(A),u1_struct_0(A)) ) )).
fof(dt_u5_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => m1_subset_1(u5_incsp_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u4_incsp_1(A)))) ) )).
fof(dt_u5_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => ( v1_funct_1(u5_modelc_1(A)) & v1_funct_2(u5_modelc_1(A),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(u5_modelc_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(dt_u5_modelc_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & l2_modelc_3(B,A) ) => m1_subset_1(u5_modelc_3(A,B),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(dt_u5_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => m1_subset_1(u5_turing_1(A),u2_turing_1(A)) ) )).
fof(dt_u6_cat_4,axiom,( ! [A] : ( l2_cat_4(A) => ( v1_funct_1(u6_cat_4(A)) & v1_funct_2(u6_cat_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u6_cat_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u6_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => m1_subset_1(u6_incsp_1(A),k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A),u4_incsp_1(A)))) ) )).
fof(dt_u6_modelc_1,axiom,( ! [A] : ( l2_modelc_1(A) => ( v1_funct_1(u6_modelc_1(A)) & v1_funct_2(u6_modelc_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(u6_modelc_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) ) )).
fof(dt_u6_modelc_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & l2_modelc_3(B,A) ) => m1_subset_1(u6_modelc_3(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) )).
fof(dt_u7_aofa_a00,axiom,( ! [A] : ( l5_aofa_a00(A) => m2_finseq_1(u7_aofa_a00(A),u4_struct_0(A)) ) )).
fof(dt_u7_cat_4,axiom,( ! [A] : ( l2_cat_4(A) => ( v1_funct_1(u7_cat_4(A)) & v1_funct_2(u7_cat_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)) & m1_subset_1(u7_cat_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)))) ) ) )).
fof(dt_u8_aofa_a00,axiom,( ! [A] : ( l6_aofa_a00(A) => m1_subset_1(u8_aofa_a00(A),u1_struct_0(A)) ) )).
fof(dt_u8_cat_4,axiom,( ! [A] : ( l2_cat_4(A) => ( v1_funct_1(u8_cat_4(A)) & v1_funct_2(u8_cat_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)) & m1_subset_1(u8_cat_4(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u4_struct_0(A)))) ) ) )).
fof(existence_l1_abcmiz_0,axiom,( ? [A] : l1_abcmiz_0(A) )).
fof(existence_l1_absred_0,axiom,( ? [A] : l1_absred_0(A) )).
fof(existence_l1_algstr_0,axiom,( ? [A] : l1_algstr_0(A) )).
fof(existence_l1_algstr_3,axiom,( ? [A] : l1_algstr_3(A) )).
fof(existence_l1_altcat_1,axiom,( ? [A] : l1_altcat_1(A) )).
fof(existence_l1_analmetr,axiom,( ? [A] : l1_analmetr(A) )).
fof(existence_l1_analoaf,axiom,( ? [A] : l1_analoaf(A) )).
fof(existence_l1_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : l1_aofa_a00(B,A) ) )).
fof(existence_l1_aofa_l00,axiom,( ? [A] : l1_aofa_l00(A) )).
fof(existence_l1_armstrng,axiom,( ? [A] : l1_armstrng(A) )).
fof(existence_l1_bcialg_1,axiom,( ? [A] : l1_bcialg_1(A) )).
fof(existence_l1_bcialg_4,axiom,( ? [A] : l1_bcialg_4(A) )).
fof(existence_l1_bhsp_1,axiom,( ? [A] : l1_bhsp_1(A) )).
fof(existence_l1_cat_1,axiom,( ? [A] : l1_cat_1(A) )).
fof(existence_l1_cat_4,axiom,( ? [A] : l1_cat_4(A) )).
fof(existence_l1_cat_6,axiom,( ? [A] : l1_cat_6(A) )).
fof(existence_l1_cayldick,axiom,( ? [A] : l1_cayldick(A) )).
fof(existence_l1_cfuncdom,axiom,( ? [A] : l1_cfuncdom(A) )).
fof(existence_l1_cgames_1,axiom,( ? [A] : l1_cgames_1(A) )).
fof(existence_l1_clopban2,axiom,( ? [A] : l1_clopban2(A) )).
fof(existence_l1_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : l1_closure1(B,A) ) )).
fof(existence_l1_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : l1_closure2(B,A) ) )).
fof(existence_l1_clvect_1,axiom,( ? [A] : l1_clvect_1(A) )).
fof(existence_l1_collsp,axiom,( ? [A] : l1_collsp(A) )).
fof(existence_l1_combgras,axiom,( ! [A] : ! [B] : ( ( l1_incsp_1(A) & l1_incsp_1(B) ) => ? [C] : l1_combgras(C,A,B) ) )).
fof(existence_l1_compos_1,axiom,( ? [A] : l1_compos_1(A) )).
fof(existence_l1_conlat_1,axiom,( ? [A] : l1_conlat_1(A) )).
fof(existence_l1_csspace,axiom,( ? [A] : l1_csspace(A) )).
fof(existence_l1_e_siec,axiom,( ? [A] : l1_e_siec(A) )).
fof(existence_l1_extpro_1,axiom,( ! [A] : ? [B] : l1_extpro_1(B,A) )).
fof(existence_l1_fintopo2,axiom,( ? [A] : l1_fintopo2(A) )).
fof(existence_l1_fomodel1,axiom,( ? [A] : l1_fomodel1(A) )).
fof(existence_l1_fsm_1,axiom,( ! [A] : ? [B] : l1_fsm_1(B,A) )).
fof(existence_l1_fsm_2,axiom,( ! [A] : ? [B] : l1_fsm_2(B,A) )).
fof(existence_l1_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ? [C] : l1_fsm_3(C,A,B) ) )).
fof(existence_l1_funcsdom,axiom,( ? [A] : l1_funcsdom(A) )).
fof(existence_l1_functor0,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ? [C] : l1_functor0(C,A,B) ) )).
fof(existence_l1_gaussint,axiom,( ? [A] : l1_gaussint(A) )).
fof(existence_l1_geomtrap,axiom,( ? [A] : l1_geomtrap(A) )).
fof(existence_l1_graph_1,axiom,( ? [A] : l1_graph_1(A) )).
fof(existence_l1_grcat_1,axiom,( ? [A] : l1_grcat_1(A) )).
fof(existence_l1_group_9,axiom,( ! [A] : ? [B] : l1_group_9(B,A) )).
fof(existence_l1_gtarski1,axiom,( ? [A] : l1_gtarski1(A) )).
fof(existence_l1_incsp_1,axiom,( ? [A] : l1_incsp_1(A) )).
fof(existence_l1_lang1,axiom,( ? [A] : l1_lang1(A) )).
fof(existence_l1_lattices,axiom,( ? [A] : l1_lattices(A) )).
fof(existence_l1_lopban_2,axiom,( ? [A] : l1_lopban_2(A) )).
fof(existence_l1_memstr_0,axiom,( ! [A] : ? [B] : l1_memstr_0(B,A) )).
fof(existence_l1_metric_1,axiom,( ? [A] : l1_metric_1(A) )).
fof(existence_l1_midsp_1,axiom,( ? [A] : l1_midsp_1(A) )).
fof(existence_l1_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) ) => ? [B] : l1_midsp_2(B,A) ) )).
fof(existence_l1_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : l1_midsp_3(B,A) ) )).
fof(existence_l1_mmlquery,axiom,( ? [A] : l1_mmlquery(A) )).
fof(existence_l1_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : l1_mod_2(B,A) ) )).
fof(existence_l1_modelc_2,axiom,( ? [A] : l1_modelc_2(A) )).
fof(existence_l1_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ? [B] : l1_modelc_3(B,A) ) )).
fof(existence_l1_msualg_1,axiom,( ? [A] : l1_msualg_1(A) )).
fof(existence_l1_normsp_0,axiom,( ? [A] : l1_normsp_0(A) )).
fof(existence_l1_normsp_1,axiom,( ? [A] : l1_normsp_1(A) )).
fof(existence_l1_orders_2,axiom,( ? [A] : l1_orders_2(A) )).
fof(existence_l1_osalg_1,axiom,( ? [A] : l1_osalg_1(A) )).
fof(existence_l1_parsp_1,axiom,( ? [A] : l1_parsp_1(A) )).
fof(existence_l1_pcs_0,axiom,( ? [A] : l1_pcs_0(A) )).
fof(existence_l1_petri,axiom,( ? [A] : l1_petri(A) )).
fof(existence_l1_petri_2,axiom,( ? [A] : l1_petri_2(A) )).
fof(existence_l1_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : l1_polyalg1(B,A) ) )).
fof(existence_l1_polyform,axiom,( ? [A] : l1_polyform(A) )).
fof(existence_l1_pre_topc,axiom,( ? [A] : l1_pre_topc(A) )).
fof(existence_l1_prefer_1,axiom,( ? [A] : l1_prefer_1(A) )).
fof(existence_l1_prelamb,axiom,( ? [A] : l1_prelamb(A) )).
fof(existence_l1_qmax_1,axiom,( ? [A] : l1_qmax_1(A) )).
fof(existence_l1_quantal1,axiom,( ? [A] : l1_quantal1(A) )).
fof(existence_l1_rewrite3,axiom,( ! [A] : ? [B] : l1_rewrite3(B,A) )).
fof(existence_l1_ringcat1,axiom,( ? [A] : l1_ringcat1(A) )).
fof(existence_l1_rltopsp1,axiom,( ? [A] : l1_rltopsp1(A) )).
fof(existence_l1_rlvect_1,axiom,( ? [A] : l1_rlvect_1(A) )).
fof(existence_l1_robbins1,axiom,( ? [A] : l1_robbins1(A) )).
fof(existence_l1_robbins3,axiom,( ? [A] : l1_robbins3(A) )).
fof(existence_l1_roughs_4,axiom,( ? [A] : l1_roughs_4(A) )).
fof(existence_l1_sgraph1,axiom,( ? [A] : l1_sgraph1(A) )).
fof(existence_l1_sheffer1,axiom,( ? [A] : l1_sheffer1(A) )).
fof(existence_l1_stacks_1,axiom,( ? [A] : l1_stacks_1(A) )).
fof(existence_l1_struct_0,axiom,( ? [A] : l1_struct_0(A) )).
fof(existence_l1_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : l1_symsp_1(B,A) ) )).
fof(existence_l1_topgrp_1,axiom,( ? [A] : l1_topgrp_1(A) )).
fof(existence_l1_turing_1,axiom,( ? [A] : l1_turing_1(A) )).
fof(existence_l1_unialg_1,axiom,( ? [A] : l1_unialg_1(A) )).
fof(existence_l1_vectmetr,axiom,( ? [A] : l1_vectmetr(A) )).
fof(existence_l1_vectsp_1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : l1_vectsp_1(B,A) ) )).
fof(existence_l1_vectsp_2,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : l1_vectsp_2(B,A) ) )).
fof(existence_l1_waybel_0,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : l1_waybel_0(B,A) ) )).
fof(existence_l1_waybel_9,axiom,( ? [A] : l1_waybel_9(A) )).
fof(existence_l1_zmodul01,axiom,( ? [A] : l1_zmodul01(A) )).
fof(existence_l2_abcmiz_0,axiom,( ? [A] : l2_abcmiz_0(A) )).
fof(existence_l2_absred_0,axiom,( ? [A] : l2_absred_0(A) )).
fof(existence_l2_algstr_0,axiom,( ? [A] : l2_algstr_0(A) )).
fof(existence_l2_altcat_1,axiom,( ? [A] : l2_altcat_1(A) )).
fof(existence_l2_analmetr,axiom,( ? [A] : l2_analmetr(A) )).
fof(existence_l2_aofa_l00,axiom,( ! [A] : ? [B] : l2_aofa_l00(B,A) )).
fof(existence_l2_bcialg_1,axiom,( ? [A] : l2_bcialg_1(A) )).
fof(existence_l2_cat_4,axiom,( ? [A] : l2_cat_4(A) )).
fof(existence_l2_clvect_1,axiom,( ? [A] : l2_clvect_1(A) )).
fof(existence_l2_conlat_1,axiom,( ! [A] : ( l5_struct_0(A) => ? [B] : l2_conlat_1(B,A) ) )).
fof(existence_l2_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : l2_fsm_1(C,A,B) ) )).
fof(existence_l2_fsm_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : l2_fsm_2(C,A,B) ) )).
fof(existence_l2_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ? [C] : l2_fsm_3(C,A,B) ) )).
fof(existence_l2_functor0,axiom,( ! [A] : ! [B] : ( ( l1_altcat_1(A) & l1_altcat_1(B) ) => ? [C] : l2_functor0(C,A,B) ) )).
fof(existence_l2_incsp_1,axiom,( ? [A] : l2_incsp_1(A) )).
fof(existence_l2_lang1,axiom,( ? [A] : l2_lang1(A) )).
fof(existence_l2_lattices,axiom,( ? [A] : l2_lattices(A) )).
fof(existence_l2_modelc_1,axiom,( ? [A] : l2_modelc_1(A) )).
fof(existence_l2_modelc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : l2_modelc_3(B,A) ) )).
fof(existence_l2_msualg_1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : l2_msualg_1(B,A) ) )).
fof(existence_l2_normsp_0,axiom,( ? [A] : l2_normsp_0(A) )).
fof(existence_l2_osalg_1,axiom,( ? [A] : l2_osalg_1(A) )).
fof(existence_l2_pcs_0,axiom,( ? [A] : l2_pcs_0(A) )).
fof(existence_l2_prefer_1,axiom,( ? [A] : l2_prefer_1(A) )).
fof(existence_l2_prelamb,axiom,( ? [A] : l2_prelamb(A) )).
fof(existence_l2_qmax_1,axiom,( ? [A] : l2_qmax_1(A) )).
fof(existence_l2_quantal1,axiom,( ? [A] : l2_quantal1(A) )).
fof(existence_l2_robbins1,axiom,( ? [A] : l2_robbins1(A) )).
fof(existence_l2_robbins3,axiom,( ? [A] : l2_robbins3(A) )).
fof(existence_l2_roughs_4,axiom,( ? [A] : l2_roughs_4(A) )).
fof(existence_l2_struct_0,axiom,( ? [A] : l2_struct_0(A) )).
fof(existence_l2_vectsp_2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ? [C] : l2_vectsp_2(C,A,B) ) )).
fof(existence_l3_abcmiz_0,axiom,( ? [A] : l3_abcmiz_0(A) )).
fof(existence_l3_algstr_0,axiom,( ? [A] : l3_algstr_0(A) )).
fof(existence_l3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msafree(C,A,B) ) => ? [D] : l3_aofa_a00(D,A,B,C) ) )).
fof(existence_l3_aofa_l00,axiom,( ! [A] : ? [B] : l3_aofa_l00(B,A) )).
fof(existence_l3_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : l3_fsm_1(C,A,B) ) )).
fof(existence_l3_lattices,axiom,( ? [A] : l3_lattices(A) )).
fof(existence_l3_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ? [B] : l3_msualg_1(B,A) ) )).
fof(existence_l3_osalg_1,axiom,( ? [A] : l3_osalg_1(A) )).
fof(existence_l3_prefer_1,axiom,( ? [A] : l3_prefer_1(A) )).
fof(existence_l3_quantal1,axiom,( ? [A] : l3_quantal1(A) )).
fof(existence_l3_robbins1,axiom,( ? [A] : l3_robbins1(A) )).
fof(existence_l3_robbins3,axiom,( ? [A] : l3_robbins3(A) )).
fof(existence_l3_sheffer1,axiom,( ? [A] : l3_sheffer1(A) )).
fof(existence_l3_struct_0,axiom,( ? [A] : l3_struct_0(A) )).
fof(existence_l4_algstr_0,axiom,( ? [A] : l4_algstr_0(A) )).
fof(existence_l4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ? [D] : l4_aofa_a00(D,A,B,C) ) )).
fof(existence_l4_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : l4_aofa_l00(C,A,B) ) )).
fof(existence_l4_robbins1,axiom,( ? [A] : l4_robbins1(A) )).
fof(existence_l4_robbins3,axiom,( ? [A] : l4_robbins3(A) )).
fof(existence_l4_roughs_4,axiom,( ? [A] : l4_roughs_4(A) )).
fof(existence_l4_struct_0,axiom,( ? [A] : l4_struct_0(A) )).
fof(existence_l5_algstr_0,axiom,( ? [A] : l5_algstr_0(A) )).
fof(existence_l5_aofa_a00,axiom,( ? [A] : l5_aofa_a00(A) )).
fof(existence_l5_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v3_relat_1(C) & m1_msafree(C,A,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_aofa_l00(D,A) & l2_aofa_l00(D,k4_aofa_l00(A,B,C)) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(D)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(D)) & v1_aofa_l00(E,C) ) => ? [F] : l5_aofa_l00(F,A,B,C,D,E) ) )).
fof(existence_l5_roughs_4,axiom,( ? [A] : l5_roughs_4(A) )).
fof(existence_l5_struct_0,axiom,( ? [A] : l5_struct_0(A) )).
fof(existence_l6_algstr_0,axiom,( ? [A] : l6_algstr_0(A) )).
fof(existence_l6_aofa_a00,axiom,( ? [A] : l6_aofa_a00(A) )).
fof(existence_l6_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v3_relat_1(C) & m1_msafree(C,A,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_aofa_l00(D,A) & l2_aofa_l00(D,k4_aofa_l00(A,B,C)) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(D)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(D)) & v1_aofa_l00(E,C) ) => ? [F] : l6_aofa_l00(F,A,B,C,D,E) ) )).
fof(existence_m1_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : m1_abcmiz_1(C,A,B) ) )).
fof(existence_m1_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => ? [C] : m1_abcmiz_a(C,A,B) ) )).
fof(existence_m1_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : m1_alg_1(B,A) ) )).
fof(existence_m1_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [B] : m1_algspec1(B,A) ) )).
fof(existence_m1_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : m1_algstr_4(B,A) ) )).
fof(existence_m1_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ? [B] : m1_altcat_2(B,A) ) )).
fof(existence_m1_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ? [E] : m1_altcat_5(E,A,B,C,D) ) )).
fof(existence_m1_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) ) => ? [E] : m1_altcat_6(E,A,B,C,D) ) )).
fof(existence_m1_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ? [D] : m1_aofa_000(D,A,B,C) ) )).
fof(existence_m1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ? [D] : m1_aofa_a00(D,A,B,C) ) )).
fof(existence_m1_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k9_funct_2(A,k4_numbers),B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),B),C))) ) => ? [E] : m1_aofa_i00(E,A,B,C,D) ) )).
fof(existence_m1_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ? [C] : m1_aofa_l00(C,A,B) ) )).
fof(existence_m1_armstrng,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => ? [C] : m1_armstrng(C,A,B) ) )).
fof(existence_m1_autalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_autalg_1(A,B,B))) ) => ? [D] : m1_autalg_1(D,A,B,C) ) )).
fof(existence_m1_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m1_bcialg_1(B,A) ) )).
fof(existence_m1_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m1_bcialg_2(B,A) ) )).
fof(existence_m1_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m1_bcialg_3(B,A) ) )).
fof(existence_m1_bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ? [E] : m1_bcialg_5(E,A,B,C,D) ) )).
fof(existence_m1_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m1_bciideal(B,A) ) )).
fof(existence_m1_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : m1_bhsp_5(B,A) ) )).
fof(existence_m1_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) ) => ? [B] : m1_bintree2(B,A) ) )).
fof(existence_m1_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : m1_borsuk_1(B,A) ) )).
fof(existence_m1_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : m1_borsuk_2(D,A,B,C) ) )).
fof(existence_m1_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => ? [F] : m1_borsuk_6(F,A,B,C,D,E) ) )).
fof(existence_m1_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => ? [C] : m1_bvfunc_1(C,A,B) ) )).
fof(existence_m1_bvfunc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_eqrel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) => ? [C] : m1_bvfunc_2(C,A,B) ) )).
fof(existence_m1_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : m1_c0sp1(B,A) ) )).
fof(existence_m1_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : m1_card_fil(B,A) ) )).
fof(existence_m1_card_lar,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ? [C] : m1_card_lar(C,A,B) ) )).
fof(existence_m1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : m1_cat_1(D,A,B,C) ) )).
fof(existence_m1_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ? [C] : m1_cat_2(C,A,B) ) )).
fof(existence_m1_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [D] : m1_cat_3(D,A,B,C) ) )).
fof(existence_m1_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => ? [B] : m1_cat_5(B,A) ) )).
fof(existence_m1_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) & m1_subset_1(C,k6_cat_6(A)) ) => ? [D] : m1_cat_7(D,A,B,C) ) )).
fof(existence_m1_catalan2,axiom,( ! [A] : ? [B] : m1_catalan2(B,A) )).
fof(existence_m1_catalg_1,axiom,( ! [A] : ? [B] : m1_catalg_1(B,A) )).
fof(existence_m1_cc0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ? [B] : m1_cc0sp1(B,A) ) )).
fof(existence_m1_cfdiff_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ? [B] : m1_cfdiff_1(B,A) ) )).
fof(existence_m1_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : m1_chain_1(B,A) ) )).
fof(existence_m1_chord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [C] : m1_chord(C,A,B) ) )).
fof(existence_m1_circcmb3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : m1_circcmb3(B,A) ) )).
fof(existence_m1_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_msaterm(C,A,B) & v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) & m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D)))) ) => ? [F] : m1_circtrm1(F,A,B,C,D,E) ) )).
fof(existence_m1_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => ? [D] : m1_closure2(D,A,B,C) ) )).
fof(existence_m1_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ? [B] : m1_clvect_1(B,A) ) )).
fof(existence_m1_collsp,axiom,( ! [A] : ? [B] : m1_collsp(B,A) )).
fof(existence_m1_complfld,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_complfld)) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : m1_complfld(C,A,B) ) )).
fof(existence_m1_comptrig,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ? [C] : m1_comptrig(C,A,B) ) )).
fof(existence_m1_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_rfunct_3(C,A,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ? [E] : m1_comput_1(E,A,B,C,D) ) )).
fof(existence_m1_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ? [B] : m1_conlat_1(B,A) ) )).
fof(existence_m1_connsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : m1_connsp_2(C,A,B) ) )).
fof(existence_m1_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : m1_connsp_3(B,A) ) )).
fof(existence_m1_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : m1_convex4(B,A) ) )).
fof(existence_m1_dblseq_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A))) ) => ? [C] : m1_dblseq_1(C,A,B) ) )).
fof(existence_m1_decomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : m1_decomp_1(B,A) ) )).
fof(existence_m1_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : m1_dist_1(B,A) ) )).
fof(existence_m1_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k6_dist_1(A)) ) => ? [C] : m1_dist_2(C,A,B) ) )).
fof(existence_m1_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_trees_3(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ? [D] : m1_dtconstr(D,A,B,C) ) )).
fof(existence_m1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : m1_dualsp01(B,A) ) )).
fof(existence_m1_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : m1_dynkin(B,A) ) )).
fof(existence_m1_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : m1_ec_pf_1(B,A) ) )).
fof(existence_m1_eqrel_1,axiom,( ! [A] : ? [B] : m1_eqrel_1(B,A) )).
fof(existence_m1_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => ? [B] : m1_exchsort(B,A) ) )).
fof(existence_m1_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ? [D] : m1_extpro_1(D,A,B,C) ) )).
fof(existence_m1_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) ) => ? [C] : m1_filter_1(C,A,B) ) )).
fof(existence_m1_finance1,axiom,( ? [A] : m1_finance1(A) )).
fof(existence_m1_finseq_1,axiom,( ! [A] : ? [B] : m1_finseq_1(B,A) )).
fof(existence_m1_finseq_2,axiom,( ! [A] : ? [B] : m1_finseq_2(B,A) )).
fof(existence_m1_fintopo6,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : m1_fintopo6(B,A) ) )).
fof(existence_m1_fomodel0,axiom,( ! [A] : ? [B] : m1_fomodel0(B,A) )).
fof(existence_m1_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ? [D] : m1_fomodel2(D,A,B,C) ) )).
fof(existence_m1_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : m1_freealg(B,A) ) )).
fof(existence_m1_funct_2,axiom,( ! [A] : ! [B] : ? [C] : m1_funct_2(C,A,B) )).
fof(existence_m1_funct_7,axiom,( ! [A] : ! [B] : ? [C] : m1_funct_7(C,A,B) )).
fof(existence_m1_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ? [F] : m1_functor0(F,A,B,C,D,E) ) )).
fof(existence_m1_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & m2_functor0(C,A,B) & m2_functor0(D,A,B) ) => ? [E] : m1_functor2(E,A,B,C,D) ) )).
fof(existence_m1_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ? [E] : m1_functor3(E,A,B,C,D) ) )).
fof(existence_m1_fvaluat1,axiom,( ! [A] : ( l6_algstr_0(A) => ? [B] : m1_fvaluat1(B,A) ) )).
fof(existence_m1_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ? [B] : m1_gcd_1(B,A) ) )).
fof(existence_m1_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ? [B] : m1_genealg1(B,A) ) )).
fof(existence_m1_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : m1_glib_000(B,A) ) )).
fof(existence_m1_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : m1_glib_001(B,A) ) )).
fof(existence_m1_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_glib_004(A))) ) => ? [C] : m1_glib_004(C,A,B) ) )).
fof(existence_m1_glib_005,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ? [C] : m1_glib_005(C,A,B) ) )).
fof(existence_m1_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : m1_goedcpuc(B,A) ) )).
fof(existence_m1_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : m1_graph_1(B,A) ) )).
fof(existence_m1_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_finseq_2(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ? [D] : m1_graph_3(D,A,B,C) ) )).
fof(existence_m1_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_finseq_2(A))) ) => ? [C] : m1_graph_5(C,A,B) ) )).
fof(existence_m1_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ? [C] : m1_grcat_1(C,A,B) ) )).
fof(existence_m1_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ? [C] : m1_group_19(C,A,B) ) )).
fof(existence_m1_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) ) => ? [B] : m1_group_2(B,A) ) )).
fof(existence_m1_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ? [C] : m1_group_6(C,A,B) ) )).
fof(existence_m1_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ? [C] : m1_group_9(C,A,B) ) )).
fof(existence_m1_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : m1_hallmar1(D,A,B,C) ) )).
fof(existence_m1_henmodel,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ? [C] : m1_henmodel(C,A,B) ) )).
fof(existence_m1_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ? [B] : m1_hilbert3(B,A) ) )).
fof(existence_m1_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ? [B] : m1_huffman1(B,A) ) )).
fof(existence_m1_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m1_ideal_1(C,A,B) ) )).
fof(existence_m1_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ? [B] : m1_incproj(B,A) ) )).
fof(existence_m1_index_1,axiom,( ! [A] : ! [B] : ? [C] : m1_index_1(C,A,B) )).
fof(existence_m1_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ? [B] : m1_instalg1(B,A) ) )).
fof(existence_m1_int_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_int_3(A) & l6_algstr_0(A) ) => ? [B] : m1_int_3(B,A) ) )).
fof(existence_m1_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ? [B] : m1_int_6(B,A) ) )).
fof(existence_m1_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => ? [D] : m1_integr15(D,A,B,C) ) )).
fof(existence_m1_integr16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & m1_integra1(C,A) ) => ? [D] : m1_integr16(D,A,B,C) ) )).
fof(existence_m1_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & m1_integra1(D,B) ) => ? [E] : m1_integr18(E,A,B,C,D) ) )).
fof(existence_m1_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ? [B] : m1_integra1(B,A) ) )).
fof(existence_m1_interva1,axiom,( ! [A] : ? [B] : m1_interva1(B,A) )).
fof(existence_m1_isocat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ? [C] : m1_isocat_1(C,A,B) ) )).
fof(existence_m1_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [B] : m1_jordan_a(B,A) ) )).
fof(existence_m1_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ? [D] : m1_kolmog01(D,A,B,C) ) )).
fof(existence_m1_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ? [B] : m1_lattad_1(B,A) ) )).
fof(existence_m1_lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ? [C] : m1_lattice4(C,A,B) ) )).
fof(existence_m1_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ? [D] : m1_lattice5(D,A,B,C) ) )).
fof(existence_m1_lattice7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : m1_lattice7(D,A,B,C) ) )).
fof(existence_m1_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ? [D] : m1_lattice8(D,A,B,C) ) )).
fof(existence_m1_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ? [B] : m1_lexbfs(B,A) ) )).
fof(existence_m1_lmod_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : m1_lmod_7(C,A,B) ) )).
fof(existence_m1_ltlaxio4,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : m1_ltlaxio4(B,A) ) )).
fof(existence_m1_margrel1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : m1_margrel1(B,A) ) )).
fof(existence_m1_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => ? [B] : m1_matrix_1(B,A) ) )).
fof(existence_m1_matrixj2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : m1_matrixj2(C,A,B) ) )).
fof(existence_m1_matrlin,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ? [C] : m1_matrlin(C,A,B) ) )).
fof(existence_m1_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ? [B] : m1_matroid0(B,A) ) )).
fof(existence_m1_measure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ? [D] : m1_measure1(D,A,B,C) ) )).
fof(existence_m1_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : m1_measure2(C,A,B) ) )).
fof(existence_m1_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ? [D] : m1_measure3(D,A,B,C) ) )).
fof(existence_m1_measure4,axiom,( ! [A] : ? [B] : m1_measure4(B,A) )).
fof(existence_m1_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ? [B] : m1_measure7(B,A) ) )).
fof(existence_m1_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ? [B] : m1_metric_2(B,A) ) )).
fof(existence_m1_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ? [B] : m1_midsp_1(B,A) ) )).
fof(existence_m1_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : m1_midsp_3(B,A) ) )).
fof(existence_m1_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ? [D] : m1_mod_2(D,A,B,C) ) )).
fof(existence_m1_mod_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : m1_mod_3(C,A,B) ) )).
fof(existence_m1_mod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ? [F] : m1_mod_4(F,A,B,C,D,E) ) )).
fof(existence_m1_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : m1_modcat_1(B,A) ) )).
fof(existence_m1_modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [C] : m1_modelc_1(C,A,B) ) )).
fof(existence_m1_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : m1_monoid_0(B,A) ) )).
fof(existence_m1_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ? [C] : m1_msafree(C,A,B) ) )).
fof(existence_m1_msafree2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : m1_msafree2(C,A,B) ) )).
fof(existence_m1_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k10_xtuple_0(B)) ) => ? [D] : m1_msafree4(D,A,B,C) ) )).
fof(existence_m1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & l3_msualg_1(C,A) ) => ? [D] : m1_msafree5(D,A,B,C) ) )).
fof(existence_m1_msalimit,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ? [C] : m1_msalimit(C,A,B) ) )).
fof(existence_m1_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k7_dtconstr(k5_msafree(A,B))) ) => ? [D] : m1_msaterm(D,A,B,C) ) )).
fof(existence_m1_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ? [C] : m1_msualg_2(C,A,B) ) )).
fof(existence_m1_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ? [D] : m1_msualg_4(D,A,B,C) ) )).
fof(existence_m1_msualg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ? [C] : m1_msualg_6(C,A,B) ) )).
fof(existence_m1_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : m1_mycielsk(B,A) ) )).
fof(existence_m1_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : m1_nat_6(B,A) ) )).
fof(existence_m1_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => ? [E] : m1_nattra_1(E,A,B,C,D) ) )).
fof(existence_m1_ncfcont1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : m1_ncfcont1(C,A,B) ) )).
fof(existence_m1_nfcont_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : m1_nfcont_1(C,A,B) ) )).
fof(existence_m1_oppcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ? [C] : m1_oppcat_1(C,A,B) ) )).
fof(existence_m1_orders_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [B] : m1_orders_1(B,A) ) )).
fof(existence_m1_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m1_orders_2(C,A,B) ) )).
fof(existence_m1_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ? [B] : m1_orders_3(B,A) ) )).
fof(existence_m1_orders_4,axiom,( ? [A] : m1_orders_4(A) )).
fof(existence_m1_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : m1_osafree(C,A,B) ) )).
fof(existence_m1_osalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & m1_subset_1(B,k7_osalg_1(A)) ) => ? [C] : m1_osalg_1(C,A,B) ) )).
fof(existence_m1_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : m1_osalg_4(C,A,B) ) )).
fof(existence_m1_partit_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) ) => ? [C] : m1_partit_2(C,A,B) ) )).
fof(existence_m1_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : m1_pboole(C,A,B) ) )).
fof(existence_m1_pencil_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & v14_pencil_1(B) ) => ? [C] : m1_pencil_2(C,A,B) ) )).
fof(existence_m1_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ? [D] : m1_petri(D,A,B,C) ) )).
fof(existence_m1_petri_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ? [C] : m1_petri_2(C,A,B) ) )).
fof(existence_m1_petri_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) ) => ? [C] : m1_petri_3(C,A,B) ) )).
fof(existence_m1_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ? [E] : m1_petri_df(E,A,B,C,D) ) )).
fof(existence_m1_pnproc_1,axiom,( ! [A] : ? [B] : m1_pnproc_1(B,A) )).
fof(existence_m1_polyalg1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_polyalg1(B,A) ) => ? [C] : m1_polyalg1(C,A,B) ) )).
fof(existence_m1_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ? [C] : m1_pralg_2(C,A,B) ) )).
fof(existence_m1_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) ) => ? [D] : m1_pralg_3(D,A,B,C) ) )).
fof(existence_m1_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) ) => ? [C] : m1_pre_poly(C,A,B) ) )).
fof(existence_m1_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : m1_pre_topc(B,A) ) )).
fof(existence_m1_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ? [B] : m1_prelamb(B,A) ) )).
fof(existence_m1_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : m1_prob_1(C,A,B) ) )).
fof(existence_m1_prob_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : m1_prob_3(C,A,B) ) )).
fof(existence_m1_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ? [D] : m1_prob_4(D,A,B,C) ) )).
fof(existence_m1_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ? [B] : m1_projred2(B,A) ) )).
fof(existence_m1_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => ? [B] : m1_prvect_1(B,A) ) )).
fof(existence_m1_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [C] : m1_prvect_2(C,A,B) ) )).
fof(existence_m1_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_partfun1(A,B))) ) => ? [D] : m1_pua2mss1(D,A,B,C) ) )).
fof(existence_m1_pythtrip,axiom,( ? [A] : m1_pythtrip(A) )).
fof(existence_m1_qc_lang1,axiom,( ? [A] : m1_qc_lang1(A) )).
fof(existence_m1_qc_lang4,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ? [C] : m1_qc_lang4(C,A,B) ) )).
fof(existence_m1_random_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : m1_random_1(C,A,B) ) )).
fof(existence_m1_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) ) => ? [B] : m1_ratfunc1(B,A) ) )).
fof(existence_m1_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : m1_rcomp_1(B,A) ) )).
fof(existence_m1_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) ) => ? [D] : m1_rcomp_3(D,A,B,C) ) )).
fof(existence_m1_realset1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ? [C] : m1_realset1(C,A,B) ) )).
fof(existence_m1_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ? [B] : m1_rewrite1(B,A) ) )).
fof(existence_m1_rfunct_3,axiom,( ! [A] : ! [B] : ? [C] : m1_rfunct_3(C,A,B) )).
fof(existence_m1_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ? [C] : m1_ringcat1(C,A,B) ) )).
fof(existence_m1_rlaffin3,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : m1_rlaffin3(B,A) ) )).
fof(existence_m1_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : m1_rlsub_1(B,A) ) )).
fof(existence_m1_rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ? [C] : m1_rlsub_2(C,A,B) ) )).
fof(existence_m1_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ? [B] : m1_rlvect_2(B,A) ) )).
fof(existence_m1_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : m1_rlvect_3(B,A) ) )).
fof(existence_m1_rmod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ? [C] : m1_rmod_2(C,A,B) ) )).
fof(existence_m1_rmod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ? [C] : m1_rmod_4(C,A,B) ) )).
fof(existence_m1_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : m1_rusub_1(B,A) ) )).
fof(existence_m1_rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ? [C] : m1_rusub_2(C,A,B) ) )).
fof(existence_m1_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : m1_rusub_3(B,A) ) )).
fof(existence_m1_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ? [B] : m1_scm_1(B,A) ) )).
fof(existence_m1_scmfsa_2,axiom,( ? [A] : m1_scmfsa_2(A) )).
fof(existence_m1_scmyciel,axiom,( ! [A] : ? [B] : m1_scmyciel(B,A) )).
fof(existence_m1_setfam_1,axiom,( ! [A] : ? [B] : m1_setfam_1(B,A) )).
fof(existence_m1_sgraph1,axiom,( ! [A] : ? [B] : m1_sgraph1(B,A) )).
fof(existence_m1_simplex0,axiom,( ! [A] : ? [B] : m1_simplex0(B,A) )).
fof(existence_m1_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_simplex0(B,u1_struct_0(A)) ) => ? [C] : m1_simplex1(C,A,B) ) )).
fof(existence_m1_simplex2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) => ? [C] : m1_simplex2(C,A,B) ) )).
fof(existence_m1_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) ) => ? [D] : m1_stacks_1(D,A,B,C) ) )).
fof(existence_m1_subset_1,axiom,( ! [A] : ? [B] : m1_subset_1(B,A) )).
fof(existence_m1_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => ? [C] : m1_substut1(C,A,B) ) )).
fof(existence_m1_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => ? [D] : m1_substut2(D,A,B,C) ) )).
fof(existence_m1_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : m1_taxonom1(B,A) ) )).
fof(existence_m1_taxonom2,axiom,( ! [A] : ? [B] : m1_taxonom2(B,A) )).
fof(existence_m1_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [C] : m1_toler_1(C,A,B) ) )).
fof(existence_m1_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : m1_topgen_2(B,A) ) )).
fof(existence_m1_topgrp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ? [C] : m1_topgrp_1(C,A,B) ) )).
fof(existence_m1_topmetr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ? [B] : m1_topmetr(B,A) ) )).
fof(existence_m1_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : m1_trees_1(B,A) ) )).
fof(existence_m1_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : m1_trees_2(B,A) ) )).
fof(existence_m1_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : m1_trees_3(B,A) ) )).
fof(existence_m1_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ? [C] : m1_trees_4(C,A,B) ) )).
fof(existence_m1_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : m1_unialg_2(B,A) ) )).
fof(existence_m1_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : m1_unialg_3(B,A) ) )).
fof(existence_m1_urysohn1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : m1_urysohn1(D,A,B,C) ) )).
fof(existence_m1_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(D) ) => ? [E] : m1_urysohn3(E,A,B,C,D) ) )).
fof(existence_m1_valuat_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) ) => ? [C] : m1_valuat_1(C,A,B) ) )).
fof(existence_m1_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ? [B] : m1_valued_0(B,A) ) )).
fof(existence_m1_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ? [D] : m1_vectsp11(D,A,B,C) ) )).
fof(existence_m1_vectsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : m1_vectsp_4(C,A,B) ) )).
fof(existence_m1_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ? [D] : m1_vectsp_5(D,A,B,C) ) )).
fof(existence_m1_vectsp_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : m1_vectsp_6(C,A,B) ) )).
fof(existence_m1_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : m1_vectsp_8(C,A,B) ) )).
fof(existence_m1_waybel12,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m1_waybel12(C,A,B) ) )).
fof(existence_m1_waybel16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) ) => ? [C] : m1_waybel16(C,A,B) ) )).
fof(existence_m1_waybel21,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ? [C] : m1_waybel21(C,A,B) ) )).
fof(existence_m1_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ? [B] : m1_waybel23(B,A) ) )).
fof(existence_m1_waybel35,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ? [C] : m1_waybel35(C,A,B) ) )).
fof(existence_m1_waybel_1,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ? [C] : m1_waybel_1(C,A,B) ) )).
fof(existence_m1_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ? [B] : m1_xxreal_2(B,A) ) )).
fof(existence_m1_yellow13,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : m1_yellow13(C,A,B) ) )).
fof(existence_m1_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ? [C] : m1_yellow19(C,A,B) ) )).
fof(existence_m1_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : m1_yellow_0(B,A) ) )).
fof(existence_m1_yellow_6,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_waybel_0(B,A) ) => ? [C] : m1_yellow_6(C,A,B) ) )).
fof(existence_m1_yellow_9,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : m1_yellow_9(B,A) ) )).
fof(existence_m1_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : m1_zmodul01(B,A) ) )).
fof(existence_m1_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ? [B] : m1_zmodul02(B,A) ) )).
fof(existence_m1_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ? [B] : m1_zmodul03(B,A) ) )).
fof(existence_m2_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : m2_abcmiz_1(C,A,B) ) )).
fof(existence_m2_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k4_abcmiz_1) => ? [B] : m2_abcmiz_a(B,A) ) )).
fof(existence_m2_algspec1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ? [B] : m2_algspec1(B,A) ) )).
fof(existence_m2_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ? [E] : m2_aofa_a00(E,A,B,C,D) ) )).
fof(existence_m2_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ? [E] : m2_aofa_i00(E,A,B,C,D) ) )).
fof(existence_m2_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m2_bcialg_1(B,A) ) )).
fof(existence_m2_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m2_bcialg_2(B,A) ) )).
fof(existence_m2_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m2_bciideal(B,A) ) )).
fof(existence_m2_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : m2_bhsp_5(B,A) ) )).
fof(existence_m2_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) => ? [B] : m2_c0sp1(B,A) ) )).
fof(existence_m2_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : m2_card_fil(B,A) ) )).
fof(existence_m2_cat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ? [C] : m2_cat_1(C,A,B) ) )).
fof(existence_m2_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_cat_2(C,A,B) ) => ? [D] : m2_cat_2(D,A,B,C) ) )).
fof(existence_m2_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [D] : m2_cat_3(D,A,B,C) ) )).
fof(existence_m2_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ? [F] : m2_cat_7(F,A,B,C,D,E) ) )).
fof(existence_m2_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ? [B] : m2_chain_1(B,A) ) )).
fof(existence_m2_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => ? [D] : m2_chord(D,A,B,C) ) )).
fof(existence_m2_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) ) => ? [C] : m2_circcmb3(C,A,B) ) )).
fof(existence_m2_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_msafree2(E) & l1_msualg_1(E) & v4_msualg_1(F,E) & v4_msafree2(F,E) & l3_msualg_1(F,E) ) => ? [G] : m2_circtrm1(G,A,B,C,D,E,F) ) )).
fof(existence_m2_clvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_clvect_1(B,A) ) => ? [C] : m2_clvect_1(C,A,B) ) )).
fof(existence_m2_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ? [B] : m2_collsp(B,A) ) )).
fof(existence_m2_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_conlat_1(B,A) ) => ? [C] : m2_conlat_1(C,A,B) ) )).
fof(existence_m2_connsp_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m2_connsp_2(C,A,B) ) )).
fof(existence_m2_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m2_convex4(C,A,B) ) )).
fof(existence_m2_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & v3_dtconstr(A) & l1_lang1(A) & m1_subset_1(B,k7_dtconstr(A)) ) => ? [C] : m2_dtconstr(C,A,B) ) )).
fof(existence_m2_exchsort,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ? [C] : m2_exchsort(C,A,B) ) )).
fof(existence_m2_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) ) => ? [C] : m2_filter_1(C,A,B) ) )).
fof(existence_m2_finseq_1,axiom,( ! [A] : ? [B] : m2_finseq_1(B,A) )).
fof(existence_m2_finseq_2,axiom,( ! [A] : ! [B] : ( m1_finseq_2(B,A) => ? [C] : m2_finseq_2(C,A,B) ) )).
fof(existence_m2_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ? [D] : m2_fomodel2(D,A,B,C) ) )).
fof(existence_m2_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_funct_2(C,A,B) ) => ? [D] : m2_funct_2(D,A,B,C) ) )).
fof(existence_m2_funct_7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ? [B] : m2_funct_7(B,A) ) )).
fof(existence_m2_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ? [C] : m2_functor0(C,A,B) ) )).
fof(existence_m2_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ? [E] : m2_functor2(E,A,B,C,D) ) )).
fof(existence_m2_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m2_fvaluat1(C,A,B) ) )).
fof(existence_m2_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ? [B] : m2_gcd_1(B,A) ) )).
fof(existence_m2_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [D] : m2_glib_000(D,A,B,C) ) )).
fof(existence_m2_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : m2_glib_001(B,A) ) )).
fof(existence_m2_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ? [B] : m2_glib_004(B,A) ) )).
fof(existence_m2_glib_005,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ? [C] : m2_glib_005(C,A,B) ) )).
fof(existence_m2_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => ? [C] : m2_goedcpuc(C,A,B) ) )).
fof(existence_m2_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : m2_graph_1(B,A) ) )).
fof(existence_m2_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ? [B] : m2_grcat_1(B,A) ) )).
fof(existence_m2_hallmar1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) => ? [C] : m2_hallmar1(C,A,B) ) )).
fof(existence_m2_huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) ) => ? [C] : m2_huffman1(C,A,B) ) )).
fof(existence_m2_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m2_ideal_1(C,A,B) ) )).
fof(existence_m2_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_index_1(C) ) => ? [D] : m2_index_1(D,A,B,C) ) )).
fof(existence_m2_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ? [D] : m2_integr15(D,A,B,C) ) )).
fof(existence_m2_integr16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ? [D] : m2_integr16(D,A,B,C) ) )).
fof(existence_m2_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ? [E] : m2_integr18(E,A,B,C,D) ) )).
fof(existence_m2_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ? [B] : m2_interva1(B,A) ) )).
fof(existence_m2_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(D,k1_zfmisc_1(C)) & m1_kolmog01(E,C,A,B) ) => ? [F] : m2_kolmog01(F,A,B,C,D,E) ) )).
fof(existence_m2_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ? [B] : m2_lattice4(B,A) ) )).
fof(existence_m2_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ? [D] : m2_lattice5(D,A,B,C) ) )).
fof(existence_m2_lattice7,axiom,( ? [A] : m2_lattice7(A) )).
fof(existence_m2_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : m2_lexbfs(B,A) ) )).
fof(existence_m2_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_lmod_7(C,A,B) ) => ? [D] : m2_lmod_7(D,A,B,C) ) )).
fof(existence_m2_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ? [C] : m2_ltlaxio4(C,A,B) ) )).
fof(existence_m2_margrel1,axiom,( ! [A] : ? [B] : m2_margrel1(B,A) )).
fof(existence_m2_measure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ? [D] : m2_measure1(D,A,B,C) ) )).
fof(existence_m2_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ? [B] : m2_measure7(B,A) ) )).
fof(existence_m2_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : m2_measure8(C,A,B) ) )).
fof(existence_m2_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : m2_midsp_3(B,A) ) )).
fof(existence_m2_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => ? [C] : m2_modcat_1(C,A,B) ) )).
fof(existence_m2_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : m2_monoid_0(B,A) ) )).
fof(existence_m2_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ? [D] : m2_msafree5(D,A,B,C) ) )).
fof(existence_m2_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_msalimit(C,A,B) ) => ? [D] : m2_msalimit(D,A,B,C) ) )).
fof(existence_m2_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : m2_msaterm(C,A,B) ) )).
fof(existence_m2_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ? [E] : m2_msualg_6(E,A,B,C,D) ) )).
fof(existence_m2_nat_lat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ? [B] : m2_nat_lat(B,A) ) )).
fof(existence_m2_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => ? [E] : m2_nattra_1(E,A,B,C,D) ) )).
fof(existence_m2_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : m2_orders_1(C,A,B) ) )).
fof(existence_m2_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k6_partfun1(k1_orders_1(u1_struct_0(A)))) ) => ? [C] : m2_orders_2(C,A,B) ) )).
fof(existence_m2_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : m2_osafree(C,A,B) ) )).
fof(existence_m2_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : m2_osalg_2(C,A,B) ) )).
fof(existence_m2_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ? [D] : m2_pboole(D,A,B,C) ) )).
fof(existence_m2_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) & m1_petri_3(C,A,B) ) => ? [D] : m2_petri_3(D,A,B,C) ) )).
fof(existence_m2_pnproc_1,axiom,( ! [A] : ? [B] : m2_pnproc_1(B,A) )).
fof(existence_m2_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : m2_prob_1(C,A,B) ) )).
fof(existence_m2_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ? [D] : m2_prob_4(D,A,B,C) ) )).
fof(existence_m2_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) ) => ? [B] : m2_prvect_1(B,A) ) )).
fof(existence_m2_pua2mss1,axiom,( ! [A] : ? [B] : m2_pua2mss1(B,A) )).
fof(existence_m2_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : m2_qc_lang1(B,A) ) )).
fof(existence_m2_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_qc_lang4(C,A,B) ) => ? [D] : m2_qc_lang4(D,A,B,C) ) )).
fof(existence_m2_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) & m1_rcomp_3(D,A,B,C) ) => ? [E] : m2_rcomp_3(E,A,B,C,D) ) )).
fof(existence_m2_realset1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ? [C] : m2_realset1(C,A,B) ) )).
fof(existence_m2_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ? [B] : m2_rewrite1(B,A) ) )).
fof(existence_m2_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & m1_rfunct_3(C,A,B) ) => ? [D] : m2_rfunct_3(D,A,B,C) ) )).
fof(existence_m2_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ? [B] : m2_ringcat1(B,A) ) )).
fof(existence_m2_rlaffin3,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m2_rlaffin3(C,A,B) ) )).
fof(existence_m2_rlsub_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ? [C] : m2_rlsub_1(C,A,B) ) )).
fof(existence_m2_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m2_rlvect_2(C,A,B) ) )).
fof(existence_m2_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) ) => ? [D] : m2_rmod_2(D,A,B,C) ) )).
fof(existence_m2_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : m2_rmod_4(D,A,B,C) ) )).
fof(existence_m2_rusub_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ? [C] : m2_rusub_1(C,A,B) ) )).
fof(existence_m2_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ? [C] : m2_simplex0(C,A,B) ) )).
fof(existence_m2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ? [C] : m2_subset_1(C,A,B) ) )).
fof(existence_m2_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : m2_taxonom1(B,A) ) )).
fof(existence_m2_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : m2_topgrp_1(B,A) ) )).
fof(existence_m2_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : m2_trees_1(B,A) ) )).
fof(existence_m2_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : m2_trees_2(B,A) ) )).
fof(existence_m2_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ? [C] : m2_trees_3(C,A,B) ) )).
fof(existence_m2_unialg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_unialg_3(B,A) ) => ? [C] : m2_unialg_3(C,A,B) ) )).
fof(existence_m2_urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : m2_urysohn3(D,A,B,C) ) )).
fof(existence_m2_valued_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ? [C] : m2_valued_0(C,A,B) ) )).
fof(existence_m2_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ? [E] : m2_vectsp11(E,A,B,C,D) ) )).
fof(existence_m2_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ? [D] : m2_vectsp_4(D,A,B,C) ) )).
fof(existence_m2_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : m2_vectsp_6(D,A,B,C) ) )).
fof(existence_m2_vectsp_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v1_xboole_0(C) & m1_vectsp_8(C,A,B) ) => ? [D] : m2_vectsp_8(D,A,B,C) ) )).
fof(existence_m2_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & ~ v2_struct_0(C) & l1_waybel_0(C,A) ) => ? [D] : m2_waybel21(D,A,B,C) ) )).
fof(existence_m2_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ? [B] : m2_xxreal_2(B,A) ) )).
fof(existence_m2_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : m2_yellow13(B,A) ) )).
fof(existence_m2_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ? [C] : m2_yellow_6(C,A,B) ) )).
fof(existence_m2_yellow_9,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : m2_yellow_9(B,A) ) )).
fof(existence_m2_zmodul01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ? [C] : m2_zmodul01(C,A,B) ) )).
fof(existence_m2_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m2_zmodul02(C,A,B) ) )).
fof(existence_m3_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : m3_abcmiz_1(B,A) ) )).
fof(existence_m3_algspec1,axiom,( ? [A] : m3_algspec1(A) )).
fof(existence_m3_aofa_a00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : m3_aofa_a00(C,A,B) ) )).
fof(existence_m3_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ? [E] : m3_aofa_i00(E,A,B,C,D) ) )).
fof(existence_m3_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m3_bcialg_2(B,A) ) )).
fof(existence_m3_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m3_bciideal(B,A) ) )).
fof(existence_m3_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ? [B] : m3_cat_2(B,A) ) )).
fof(existence_m3_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) ) => ? [D] : m3_chain_1(D,A,B,C) ) )).
fof(existence_m3_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ? [B] : m3_chord(B,A) ) )).
fof(existence_m3_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => ? [C] : m3_conlat_1(C,A,B) ) )).
fof(existence_m3_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) ) => ? [C] : m3_dist_2(C,A,B) ) )).
fof(existence_m3_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ? [C] : m3_fomodel2(C,A,B) ) )).
fof(existence_m3_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : m3_glib_001(B,A) ) )).
fof(existence_m3_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ? [B] : m3_glib_004(B,A) ) )).
fof(existence_m3_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : m3_glib_005(B,A) ) )).
fof(existence_m3_goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ? [C] : m3_goedcpuc(C,A,B) ) )).
fof(existence_m3_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : m3_graph_1(B,A) ) )).
fof(existence_m3_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_grcat_1(A) ) => ? [B] : m3_grcat_1(B,A) ) )).
fof(existence_m3_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) ) => ? [D] : m3_hallmar1(D,A,B,C) ) )).
fof(existence_m3_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : m3_ideal_1(C,A,B) ) )).
fof(existence_m3_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ? [E] : m3_index_1(E,A,B,C,D) ) )).
fof(existence_m3_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & m1_integra1(D,B) ) => ? [E] : m3_integr15(E,A,B,C,D) ) )).
fof(existence_m3_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : m3_lexbfs(B,A) ) )).
fof(existence_m3_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ? [B] : m3_ltlaxio4(B,A) ) )).
fof(existence_m3_measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v2_finsub_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [D] : m3_measure8(D,A,B,C) ) )).
fof(existence_m3_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : m3_modcat_1(B,A) ) )).
fof(existence_m3_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : m3_monoid_0(B,A) ) )).
fof(existence_m3_msalimit,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_msalimit(A) ) => ? [B] : m3_msalimit(B,A) ) )).
fof(existence_m3_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : m3_msaterm(C,A,B) ) )).
fof(existence_m3_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => ? [E] : m3_nattra_1(E,A,B,C,D) ) )).
fof(existence_m3_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : m3_pboole(C,A,B) ) )).
fof(existence_m3_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ? [C] : m3_pnproc_1(C,A,B) ) )).
fof(existence_m3_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : m3_pua2mss1(B,A) ) )).
fof(existence_m3_realset1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ? [C] : m3_realset1(C,A,B) ) )).
fof(existence_m3_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v5_ringcat1(A) ) => ? [B] : m3_ringcat1(B,A) ) )).
fof(existence_m3_robbins3,axiom,( ! [A] : ( l4_robbins1(A) => ? [B] : m3_robbins3(B,A) ) )).
fof(existence_m3_simplex0,axiom,( ! [A] : ! [B] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) & v1_xreal_0(B) ) => ? [C] : m3_simplex0(C,A,B) ) )).
fof(existence_m3_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : m3_topgrp_1(B,A) ) )).
fof(existence_m3_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ? [B] : m3_trees_3(B,A) ) )).
fof(existence_m3_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ? [C] : m3_vectsp_8(C,A,B) ) )).
fof(existence_m3_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ? [C] : m3_yellow_6(C,A,B) ) )).
fof(existence_m3_yellow_9,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ? [C] : m3_yellow_9(C,A,B) ) )).
fof(existence_m3_zmodul01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) ) => ? [C] : m3_zmodul01(C,A,B) ) )).
fof(existence_m4_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : m4_abcmiz_1(C,A,B) ) )).
fof(existence_m4_algspec1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ? [B] : m4_algspec1(B,A) ) )).
fof(existence_m4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) ) => ? [F] : m4_aofa_a00(F,A,B,C,D,E) ) )).
fof(existence_m4_aofa_i00,axiom,( ? [A] : m4_aofa_i00(A) )).
fof(existence_m4_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) ) => ? [C] : m4_bcialg_2(C,A,B) ) )).
fof(existence_m4_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : m4_bciideal(B,A) ) )).
fof(existence_m4_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m1_subset_1(B,k6_dist_1(A)) ) => ? [C] : m4_dist_2(C,A,B) ) )).
fof(existence_m4_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ? [C] : m4_glib_001(C,A,B) ) )).
fof(existence_m4_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ? [C] : m4_grcat_1(C,A,B) ) )).
fof(existence_m4_hallmar1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => ? [C] : m4_hallmar1(C,A,B) ) )).
fof(existence_m4_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m3_index_1(E,A,B,C,D) ) => ? [F] : m4_index_1(F,A,B,C,D,E) ) )).
fof(existence_m4_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ? [E] : m4_integr15(E,A,B,C,D) ) )).
fof(existence_m4_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ? [C] : m4_ltlaxio4(C,A,B) ) )).
fof(existence_m4_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : m4_margrel1(B,A) ) )).
fof(existence_m4_measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ? [D] : m4_measure8(D,A,B,C) ) )).
fof(existence_m4_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m3_modcat_1(B,A) ) => ? [C] : m4_modcat_1(C,A,B) ) )).
fof(existence_m4_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ? [C] : m4_msaterm(C,A,B) ) )).
fof(existence_m4_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ? [C] : m4_nattra_1(C,A,B) ) )).
fof(existence_m4_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : m4_pua2mss1(B,A) ) )).
fof(existence_m4_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ? [C] : m4_ringcat1(C,A,B) ) )).
fof(existence_m4_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) & v1_xreal_0(B) & m3_simplex0(C,A,B) ) => ? [D] : m4_simplex0(D,A,B,C) ) )).
fof(existence_m4_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : m4_trees_1(B,A) ) )).
fof(existence_m4_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ? [B] : m4_trees_3(B,A) ) )).
fof(existence_m4_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ? [C] : m4_vectsp_8(C,A,B) ) )).
fof(existence_m4_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : m4_yellow_6(B,A) ) )).
fof(existence_m5_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) ) => ? [C] : m5_bcialg_2(C,A,B) ) )).
fof(existence_m5_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ? [G] : m5_index_1(G,A,B,C,D,E,F) ) )).
fof(existence_m5_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m4_margrel1(B,A) ) => ? [C] : m5_margrel1(C,A,B) ) )).
fof(existence_m5_modcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ? [D] : m5_modcat_1(D,A,B,C) ) )).
fof(existence_m5_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m2_monoid_0(B,A) ) => ? [C] : m5_monoid_0(C,A,B) ) )).
fof(existence_m6_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) & v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,k1_card_1(A)) & v2_funct_2(C,k1_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) => ? [D] : m6_aofa_i00(D,A,B,C) ) )).
fof(existence_m6_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m3_monoid_0(B,A) ) => ? [C] : m6_monoid_0(C,A,B) ) )).
fof(existence_m7_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m3_monoid_0(B,A) ) => ? [C] : m7_monoid_0(C,A,B) ) )).
fof(existence_m9_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : m9_lmod_7(D,A,B,C) ) )).
fof(fc100_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => v1_xboole_0(k4_xboole_0(k7_subset_1(A,C,B),k6_subset_1(A,D))) ) )).
fof(fc100_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_0(B) ) => ~ v1_xboole_0(k24_member_1(A,B)) ) )).
fof(fc100_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k54_valued_1(C)) & v1_partfun1(k54_valued_1(C),A) ) ) )).
fof(fc101_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k7_subset_1(A,C,B),k6_subset_1(A,B))) ) )).
fof(fc101_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v1_xxreal_0(B) ) => v2_membered(k24_member_1(A,B)) ) )).
fof(fc101_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k54_valued_1(C)) & v1_partfun1(k54_valued_1(C),A) ) ) )).
fof(fc102_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => v1_xboole_0(k4_xboole_0(k6_subset_1(k2_xboole_0(C,D),B),A)) ) )).
fof(fc102_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xcmplx_0(B) ) => v1_xboole_0(k25_member_1(A,B)) ) )).
fof(fc102_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) & v1_finseq_1(k54_valued_1(A)) ) ) )).
fof(fc103_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zfmisc_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => v1_xboole_0(k5_xboole_0(B,C)) ) )).
fof(fc103_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_xcmplx_0(B) ) => ~ v1_xboole_0(k25_member_1(A,B)) ) )).
fof(fc103_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k61_valued_1(A,B)) & v4_relat_1(k61_valued_1(A,B),k4_ordinal1) & v1_funct_1(k61_valued_1(A,B)) ) ) )).
fof(fc104_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k9_xtuple_0(B),k9_xtuple_0(A))) ) )).
fof(fc104_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_xcmplx_0(B) ) => v1_membered(k25_member_1(A,B)) ) )).
fof(fc104_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k61_valued_1(A,B)) & v1_funct_1(k61_valued_1(A,B)) & v1_finset_1(k61_valued_1(A,B)) ) ) )).
fof(fc105_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k10_xtuple_0(B),k10_xtuple_0(A))) ) )).
fof(fc105_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => v3_membered(k25_member_1(A,B)) ) )).
fof(fc105_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k61_valued_1(B,C)) & v5_relat_1(k61_valued_1(B,C),A) & v1_funct_1(k61_valued_1(B,C)) ) ) )).
fof(fc106_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k4_xboole_0(k9_xtuple_0(k2_zfmisc_1(A,B)),A)) )).
fof(fc106_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v1_rat_1(B) ) => v4_membered(k25_member_1(A,B)) ) )).
fof(fc106_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k61_valued_1(A,B)) & v1_funct_1(k61_valued_1(A,B)) & v1_xboole_0(k61_valued_1(A,B)) ) ) )).
fof(fc107_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k9_xtuple_0(k2_zfmisc_1(A,B)),A),k9_xtuple_0(k2_zfmisc_1(A,B)))) )).
fof(fc107_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xxreal_0(B) ) => v1_xboole_0(k26_member_1(A,B)) ) )).
fof(fc107_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k61_valued_1(A,B)) & v1_funct_1(k61_valued_1(A,B)) & ~ v1_xboole_0(k61_valued_1(A,B)) ) ) )).
fof(fc108_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k4_xboole_0(k10_xtuple_0(k2_zfmisc_1(A,B)),B)) )).
fof(fc108_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_0(B) ) => ~ v1_xboole_0(k26_member_1(A,B)) ) )).
fof(fc108_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) ) => v6_membered(k9_xtuple_0(A)) ) )).
fof(fc109_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k10_xtuple_0(k2_zfmisc_1(A,B)),B),k10_xtuple_0(k2_zfmisc_1(A,B)))) )).
fof(fc109_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v1_xxreal_0(B) ) => v2_membered(k26_member_1(A,B)) ) )).
fof(fc109_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) => ( v1_relat_1(k63_valued_1(A)) & v4_relat_1(k63_valued_1(A),k4_ordinal1) & v1_funct_1(k63_valued_1(A)) & v1_finset_1(k63_valued_1(A)) ) ) )).
fof(fc10_abcmiz_1,axiom,( v1_msualg_1(k27_abcmiz_1) & v1_instalg1(k27_abcmiz_1) & v1_abcmiz_1(k27_abcmiz_1) & v3_abcmiz_1(k27_abcmiz_1) )).
fof(fc10_abcmiz_a,axiom,( v2_abcmiz_1(k14_abcmiz_a(k8_abcmiz_a),k27_abcmiz_1) & v4_abcmiz_a(k14_abcmiz_a(k8_abcmiz_a),k27_abcmiz_1) )).
fof(fc10_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) & ~ v1_abian(B) ) => ~ v1_abian(k2_xcmplx_0(A,B)) ) )).
fof(fc10_afinsq_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(k6_afinsq_1(A,B)) & v1_funct_1(k6_afinsq_1(A,B)) ) )).
fof(fc10_algstr_0,axiom,( v7_algstr_0(k3_algstr_0) )).
fof(fc10_algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ~ v1_xboole_0(k11_algstr_4(A,B)) ) )).
fof(fc10_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_ami_3,k5_ami_3(A,B))) ) )).
fof(fc10_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v9_aofa_000(A) & l1_unialg_1(A) ) => ~ v1_finset_1(k18_aofa_000(A)) ) )).
fof(fc10_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v2_msafree(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v2_relat_1(D) & m1_msafree(D,A,B) ) => ~ v1_xboole_0(k12_aofa_a00(A,B,C,D)) ) )).
fof(fc10_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xboolean(C) & v1_xboolean(D) ) => v1_xboolean(k5_xxreal_0(A,B,C,D)) ) )).
fof(fc10_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( v3_orders_2(k14_bagorder(A)) & v4_orders_2(k14_bagorder(A)) & v5_orders_2(k14_bagorder(A)) & v16_waybel_0(k14_bagorder(A)) ) ) )).
fof(fc10_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k4_normsp_1(A,C,B)) & v1_funct_2(k4_normsp_1(A,C,B),k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(k4_normsp_1(A,C,B),A) ) ) )).
fof(fc10_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(k9_bilinear(A,B,C,D,E),A,B,C) ) ) )).
fof(fc10_binop_2,axiom,( v1_funct_1(k24_binop_2) & v1_funct_2(k24_binop_2,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & v1_binop_1(k24_binop_2,k4_ordinal1) & v2_binop_1(k24_binop_2,k4_ordinal1) )).
fof(fc10_borsuk_5,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k3_xcmplx_0(A,B)) ) )).
fof(fc10_borsuk_6,axiom,( ~ v1_xboole_0(k8_borsuk_6) & v4_pre_topc(k8_borsuk_6,k2_borsuk_1(k5_topmetr,k5_topmetr)) )).
fof(fc10_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v3_normsp_0(k5_c0sp2(A)) & v4_normsp_0(k5_c0sp2(A)) & v2_normsp_1(k5_c0sp2(A)) ) ) )).
fof(fc10_card_1,axiom,( ! [A] : ( ~ v1_finset_1(A) => ( ~ v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) ) ) )).
fof(fc10_card_3,axiom,( v5_card_3(k4_ordinal1) )).
fof(fc10_card_5,axiom,( ! [A] : ! [B] : ( v6_membered(A) => v7_ordinal1(k1_funct_1(k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(A))),k1_wellord2(A)),B)) ) )).
fof(fc10_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_catalg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B)) ) ) )).
fof(fc10_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v2_binop_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_group_1(g1_cayldick(A,C,B,D,E,F,G,H)) & v1_cayldick(g1_cayldick(A,C,B,D,E,F,G,H)) ) ) )).
fof(fc10_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v3_normsp_0(k5_cc0sp2(A)) & v4_normsp_0(k5_cc0sp2(A)) & v8_clvect_1(k5_cc0sp2(A)) ) ) )).
fof(fc10_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v3_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v3_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k18_valued_1(A,B)) & v1_partfun1(k18_valued_1(A,B),k2_numbers) & v2_cfdiff_1(k18_valued_1(A,B)) ) ) )).
fof(fc10_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => v2_cgames_1(k13_cgames_1(A)) ) )).
fof(fc10_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & l1_msualg_1(A) ) => v1_relat_1(k3_msafree2(A)) ) )).
fof(fc10_circcomb,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ v11_struct_0(k5_circcomb(A,B)) & v1_msualg_1(k5_circcomb(A,B)) & v1_circcomb(k5_circcomb(A,B)) & v2_circcomb(k5_circcomb(A,B)) ) ) )).
fof(fc10_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k14_clopban1(A,B)) & v13_algstr_0(k14_clopban1(A,B)) & v2_rlvect_1(k14_clopban1(A,B)) & v3_rlvect_1(k14_clopban1(A,B)) & v4_rlvect_1(k14_clopban1(A,B)) & v3_normsp_0(k14_clopban1(A,B)) & v4_normsp_0(k14_clopban1(A,B)) & v2_clvect_1(k14_clopban1(A,B)) & v3_clvect_1(k14_clopban1(A,B)) & v4_clvect_1(k14_clopban1(A,B)) & v5_clvect_1(k14_clopban1(A,B)) & v8_clvect_1(k14_clopban1(A,B)) ) ) )).
fof(fc10_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => v1_group_1(k9_clopban2(A)) ) )).
fof(fc10_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),B)) ) => ( v4_msualg_1(g1_closure1(A,B,C),A) & v5_closure1(g1_closure1(A,B,C),A) ) ) )).
fof(fc10_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v15_closure2(B,A) & l1_closure2(B,A) ) => v4_closure2(u1_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc10_coh_sp,axiom,( ! [A] : ( v4_funct_1(k19_coh_sp(A)) & ~ v1_xboole_0(k19_coh_sp(A)) ) )).
fof(fc10_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( ~ v1_xboole_0(k9_cohsp_1(A,B)) & v1_classes1(k9_cohsp_1(A,B)) & v1_coh_sp(k9_cohsp_1(A,B)) ) ) )).
fof(fc10_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,k4_compos_0(A)) ) => ( ~ v1_xboole_0(k6_compos_0(A,B)) & v4_funct_1(k6_compos_0(A,B)) ) ) )).
fof(fc10_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) ) => ( v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) & v3_compos_1(k7_compos_1(A,B,C),A) ) ) )).
fof(fc10_comput_1,axiom,( ~ v1_xboole_0(k9_comput_1) & v6_comput_1(k9_comput_1) )).
fof(fc10_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v1_comseq_3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k1_valued_1(A,B)) & v1_funct_2(k1_valued_1(A,B),k4_ordinal1,k2_numbers) & v1_comseq_3(k1_valued_1(A,B)) ) ) )).
fof(fc10_dickson,axiom,( ~ v2_struct_0(k11_dickson) & v16_waybel_0(k11_dickson) )).
fof(fc10_dilworth,axiom,( ! [A] : ! [B] : ( ( v3_dilworth(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & v3_dilworth(k5_yellow_0(A,B)) ) ) )).
fof(fc10_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k17_dualsp01(A)) & v13_algstr_0(k17_dualsp01(A)) & v2_rlvect_1(k17_dualsp01(A)) & v3_rlvect_1(k17_dualsp01(A)) & v4_rlvect_1(k17_dualsp01(A)) & v5_rlvect_1(k17_dualsp01(A)) & v6_rlvect_1(k17_dualsp01(A)) & v7_rlvect_1(k17_dualsp01(A)) & v8_rlvect_1(k17_dualsp01(A)) & v3_normsp_0(k17_dualsp01(A)) & v4_normsp_0(k17_dualsp01(A)) & v2_normsp_1(k17_dualsp01(A)) ) ) )).
fof(fc10_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => v3_valued_2(k1_euclid(A)) ) )).
fof(fc10_euclid_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v2_struct_0(k7_real_ns1(A)) & v2_monoid_0(k7_real_ns1(A)) & v1_bhsp_1(k7_real_ns1(A)) ) ) )).
fof(fc10_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v3_card_1(k45_valued_1(B,C),A) ) ) )).
fof(fc10_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => v1_exchsort(k9_funct_7(A,B,C)) ) )).
fof(fc10_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xtuple_0(A) & v1_xtuple_0(B) & v1_xtuple_0(C) ) => v1_relat_1(k1_enumset1(A,B,C)) ) )).
fof(fc10_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v2_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v2_fcont_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k45_valued_1(A,B)) & v2_fcont_1(k45_valued_1(A,B)) ) ) )).
fof(fc10_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v18_lattices(B,k1_lattice2(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) => v19_lattices(k3_filter_2(k1_lattice2(A),B),A) ) )).
fof(fc10_finseq_1,axiom,( ! [A] : ! [B] : v1_finseq_1(k10_finseq_1(A,B)) )).
fof(fc10_finset_1,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => v1_finset_1(k3_xboole_0(A,B)) ) )).
fof(fc10_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) => v3_fomodel0(k3_xboole_0(B,A),A) ) )).
fof(fc10_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k27_fomodel1(A)) ) )).
fof(fc10_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_relat_1(k10_fomodel2(A,B,C)) & v1_funct_1(k10_fomodel2(A,B,C)) & v1_fomodel2(k10_fomodel2(A,B,C),A,B) ) ) )).
fof(fc10_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v7_ordinal1(D) & v8_ordinal1(D) ) => v1_funct_1(k8_fomodel3(A,B,C,D)) ) )).
fof(fc10_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k30_fomodel2(A))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_fomodel4(k4_tarski(B,C),A) ) )).
fof(fc10_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_3(C,A,B) ) => ( v8_struct_0(k4_fsm_3(A,B,C)) & v3_fsm_3(k4_fsm_3(A,B,C),A,k9_flang_1(A)) ) ) )).
fof(fc10_funcop_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => v2_relat_1(k2_funcop_1(A,B)) ) )).
fof(fc10_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => v1_setfam_1(k10_xtuple_0(A)) ) )).
fof(fc10_funct_2,axiom,( ! [A] : ! [B] : v4_funct_1(k1_funct_2(A,B)) )).
fof(fc10_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ( v1_relat_1(k1_funct_4(B,C)) & v5_relat_1(k1_funct_4(B,C),A) & v1_funct_1(k1_funct_4(B,C)) ) ) )).
fof(fc10_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k8_funct_7(A,B)) & v1_funct_1(k8_funct_7(A,B)) ) ) )).
fof(fc10_funct_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_funct_9(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) & v2_funct_9(k54_valued_1(A)) ) ) )).
fof(fc10_gate_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & ~ v1_xboole_0(B) ) => v1_xboole_0(k5_gate_1(A,B)) ) )).
fof(fc10_gaussint,axiom,( ~ v1_xboole_0(k1_gaussint) )).
fof(fc10_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_001(B,A) & m3_glib_001(B,A) & v2_glib_001(C,A) & m3_glib_001(C,A) ) => v2_glib_001(k7_glib_001(A,B,C),A) ) )).
fof(fc10_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k8_graph_3(A,B,C)) & v1_graph_1(k8_graph_3(A,B,C)) & v6_graph_1(k8_graph_3(A,B,C)) ) ) )).
fof(fc10_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v15_algstr_0(k9_group_6(A,B,C)) & v1_group_3(k9_group_6(A,B,C),A) ) ) )).
fof(fc10_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => v3_group_7(k5_finseq_1(A),k1_tarski(1)) ) )).
fof(fc10_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k8_hahnban1(A,B)) & v2_rlvect_1(k8_hahnban1(A,B)) & v7_vectsp_1(k8_hahnban1(A,B),A) ) ) )).
fof(fc10_hilbert3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => v1_hilbert3(k3_hilbert1(A,k3_hilbert1(B,A))) ) )).
fof(fc10_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k6_hilbert4(A)) & v1_funct_1(k6_hilbert4(A)) ) ) )).
fof(fc10_hurwitz2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_hurwitz2(A,B)) & v1_funct_2(k2_hurwitz2(A,B),k4_ordinal1,u1_struct_0(A)) & v4_hurwitz2(k2_hurwitz2(A,B),A) ) ) )).
fof(fc10_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l6_algstr_0(A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v3_ideal_1(k10_ideal_1(A,B,C),A) ) )).
fof(fc10_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) => ( v1_relat_1(k1_xtuple_0(C)) & v4_relat_1(k1_xtuple_0(C),A) ) ) )).
fof(fc10_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ( v3_lattices(k21_interva1(A)) & v11_lattices(k21_interva1(A)) ) ) )).
fof(fc10_jordan,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v9_rltopsp1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v9_rltopsp1(k2_pre_topc(k15_euclid(A),B),k15_euclid(A)) ) )).
fof(fc10_jordan23,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ~ v1_xboole_0(k1_jordan9(A,B)) & ~ v3_funct_1(k1_jordan9(A,B)) & v1_finseq_6(k1_jordan9(A,B),u1_struct_0(k15_euclid(2))) & v1_topreal1(k1_jordan9(A,B)) & v2_topreal1(k1_jordan9(A,B)) & v1_goboard5(k1_jordan9(A,B)) & v2_goboard5(k1_jordan9(A,B)) & v1_sprect_2(k1_jordan9(A,B)) & v1_jordan23(k1_jordan9(A,B)) ) ) )).
fof(fc10_kurato_1,axiom,( v1_setfam_1(k4_kurato_1(k3_topmetr,k6_kurato_1)) )).
fof(fc10_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_setwiseo(u1_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc10_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k16_lopban_1(A,B)) & v13_algstr_0(k16_lopban_1(A,B)) & v2_rlvect_1(k16_lopban_1(A,B)) & v3_rlvect_1(k16_lopban_1(A,B)) & v4_rlvect_1(k16_lopban_1(A,B)) & v5_rlvect_1(k16_lopban_1(A,B)) & v6_rlvect_1(k16_lopban_1(A,B)) & v7_rlvect_1(k16_lopban_1(A,B)) & v8_rlvect_1(k16_lopban_1(A,B)) & v3_normsp_0(k16_lopban_1(A,B)) & v4_normsp_0(k16_lopban_1(A,B)) & v2_normsp_1(k16_lopban_1(A,B)) ) ) )).
fof(fc10_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v1_group_1(k9_lopban_2(A)) ) )).
fof(fc10_ltlaxio3,axiom,( v3_ltlaxio3(k4_tarski(k6_finseq_1(k1_hilbert1),k6_finseq_1(k1_hilbert1))) )).
fof(fc10_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ( ~ v1_xboole_0(k11_ltlaxio4(A,B)) & v1_finset_1(k11_ltlaxio4(A,B)) ) ) )).
fof(fc10_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,k6_cqc_lang(A,C),k6_cqc_lang(A,B))),A) ) )).
fof(fc10_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v1_relat_1(k1_funct_1(k3_matrtop1(A,B,C),D)) & v1_funct_1(k1_funct_1(k3_matrtop1(A,B,C),D)) ) ) )).
fof(fc10_mazurulm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k3_relat_1(B,C)) & v1_funct_2(k3_relat_1(B,C),u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(k3_relat_1(B,C),A,A) ) ) )).
fof(fc10_member_1,axiom,( ! [A] : ( v1_xboole_0(A) => ( v2_membered(k6_member_1(A)) & v1_xboole_0(k6_member_1(A)) ) ) )).
fof(fc10_membered,axiom,( ! [A] : ( v1_rat_1(A) => v4_membered(k1_tarski(A)) ) )).
fof(fc10_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k7_memstr_0(A,B,C)) & v1_relat_1(k7_memstr_0(A,B,C)) & v4_relat_1(k7_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k7_memstr_0(A,B,C)) & v5_funct_1(k7_memstr_0(A,B,C),k2_memstr_0(A,B)) & v5_memstr_0(k7_memstr_0(A,B,C),A,B,C) ) ) )).
fof(fc10_metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & v1_metrizts(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v1_metrizts(k1_pre_topc(A,B)) ) ) )).
fof(fc10_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & ~ v3_mfold_0(A) & l1_pre_topc(A) ) => ( v1_pre_topc(k1_pre_topc(A,k2_mfold_0(A))) & v1_mfold_0(k1_pre_topc(A,k2_mfold_0(A))) ) ) )).
fof(fc10_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k2_mod_4(A)) & v5_vectsp_1(k2_mod_4(A)) ) ) )).
fof(fc10_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ~ v1_xboole_0(u1_modelc_2(A)) ) )).
fof(fc10_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k3_moebius2(A)) & v4_relat_1(k3_moebius2(A),k8_newton) & v1_funct_1(k3_moebius2(A)) & v1_partfun1(k3_moebius2(A),k8_newton) & v4_valued_0(k3_moebius2(A)) & v2_pre_poly(k3_moebius2(A)) ) ) )).
fof(fc10_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k12_msafree(A,B,C)) ) )).
fof(fc10_msafree4,axiom,( ! [A] : ! [B] : ( v4_card_3(B) => ( v1_relat_1(k2_funcop_1(A,B)) & v4_relat_1(k2_funcop_1(A,B),A) & v1_funct_1(k2_funcop_1(A,B)) & v1_partfun1(k2_funcop_1(A,B),A) & v1_msafree4(k2_funcop_1(A,B),A) ) ) )).
fof(fc10_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v3_finseq_1(k1_tarski(A)) ) )).
fof(fc10_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) => ( v1_relat_1(k9_pboole(A,C,B)) & v4_relat_1(k9_pboole(A,C,B),A) & v1_funct_1(k9_pboole(A,C,B)) & v1_partfun1(k9_pboole(A,C,B),A) & v2_finset_1(k9_pboole(A,C,B)) ) ) )).
fof(fc10_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => ( v3_msualg_1(k12_msualg_2(A,B,C),A) & v4_msualg_1(k12_msualg_2(A,B,C),A) ) ) )).
fof(fc10_mycielsk,axiom,( ! [A] : ( ( v1_necklace(A) & v4_dilworth(A) & l1_orders_2(A) ) => ( v1_orders_2(k3_necklace(A)) & v3_dilworth(k3_necklace(A)) ) ) )).
fof(fc10_nat_1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A,B)) ) )).
fof(fc10_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) & v2_pre_poly(C) ) => ( v1_relat_1(k5_nat_3(A,B,C)) & v4_relat_1(k5_nat_3(A,B,C),A) & v1_funct_1(k5_nat_3(A,B,C)) & v1_partfun1(k5_nat_3(A,B,C),A) & v2_pre_poly(k5_nat_3(A,B,C)) ) ) )).
fof(fc10_nat_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & v1_ec_pf_2(B,A) ) => v7_ordinal1(k6_xcmplx_0(B,1)) ) )).
fof(fc10_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(k3_necklace(A)) & v3_necklace(k3_necklace(A)) ) ) )).
fof(fc10_newton,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k3_newton(A,B)) ) )).
fof(fc10_nfcont_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v2_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k3_normsp_0(A,B)) & v2_fcont_1(k3_normsp_0(A,B)) ) ) )).
fof(fc10_numpoly1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( v7_ordinal1(k4_numpoly1(A,B)) & v1_int_1(k4_numpoly1(A,B)) ) ) )).
fof(fc10_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k17_openlatt(A)) & v1_pre_topc(k17_openlatt(A)) & v2_pre_topc(k17_openlatt(A)) ) ) )).
fof(fc10_oposet_1,axiom,( v3_qmax_1(k1_oposet_1) & v4_oposet_1(k1_oposet_1) )).
fof(fc10_ordinal1,axiom,( ! [A] : ( ( v1_relat_1(A) & v9_ordinal1(A) ) => ~ v10_ordinal1(k10_xtuple_0(A)) ) )).
fof(fc10_ordinal6,axiom,( ! [A] : ( v1_xboole_0(A) => ( v3_ordinal1(k2_wellord2(A)) & v1_xboole_0(k2_wellord2(A)) ) ) )).
fof(fc10_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v2_relat_1(k24_osafree(A,B)) ) )).
fof(fc10_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(B) & ~ v3_xxreal_0(B) ) => v4_partfun3(k2_funcop_1(A,B)) ) )).
fof(fc10_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v13_algstr_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) ) ) )).
fof(fc10_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v3_rlvect_1(k13_polynom3(A)) ) ) )).
fof(fc10_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,B)) ) => ( v1_relat_1(k1_funct_5(C)) & v4_relat_1(k1_funct_5(C),A) & v1_funct_1(k1_funct_5(C)) ) ) )).
fof(fc10_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_card_3(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc10_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v13_algstr_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc10_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => v1_xreal_0(k15_quaterni(A)) ) )).
fof(fc10_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k19_quofield(A)) & v1_vectsp_1(k19_quofield(A)) & v3_vectsp_1(k19_quofield(A)) & v1_vectsp_2(k19_quofield(A)) ) ) )).
fof(fc10_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v9_struct_0(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k4_polynom5(A,B,C)) & v1_funct_2(k4_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & ~ v1_ratfunc1(k4_polynom5(A,B,C),A) ) ) )).
fof(fc10_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_xxreal_2(k3_limfunc1(A)) & ~ v4_xxreal_2(k3_limfunc1(A)) & v6_xxreal_2(k3_limfunc1(A)) ) ) )).
fof(fc10_relat_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A)) ) )).
fof(fc10_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_relat_2(A) & v1_relat_1(B) & v3_relat_2(B) ) => v3_relat_2(k2_xboole_0(A,B)) ) )).
fof(fc10_relset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k9_xtuple_0(A))) ) => ( ~ v1_xboole_0(k5_relat_1(A,B)) & v1_relat_1(k5_relat_1(A,B)) ) ) )).
fof(fc10_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_seq_2(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v3_valued_0(k24_valued_1(A,B)) & v2_seq_2(k24_valued_1(A,B)) ) ) )).
fof(fc10_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k3_ring_2(A,B)) & v1_funct_2(k3_ring_2(A,B),u1_struct_0(A),u1_struct_0(k2_ring_1(A,B))) & v13_vectsp_1(k3_ring_2(A,B),A,k2_ring_1(A,B)) & v6_group_1(k3_ring_2(A,B),A,k2_ring_1(A,B)) & v1_group_6(k3_ring_2(A,B),A,k2_ring_1(A,B)) ) ) )).
fof(fc10_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k4_rlaffin1(A,B)) ) )).
fof(fc10_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & ~ v8_ordinal1(B) & v1_xreal_0(B) ) => ( v1_funct_1(k4_rltopsp1(A,B)) & v1_funct_2(k4_rltopsp1(A,B),u1_struct_0(A),u1_struct_0(A)) & v3_tops_2(k4_rltopsp1(A,B),A,A) ) ) )).
fof(fc10_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_lattices(A) & l2_robbins1(A) ) => ( v5_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A)) ) ) )).
fof(fc10_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k9_rsspace4(A,B)) & v3_lopban_1(k9_rsspace4(A,B)) ) ) )).
fof(fc10_rvsum_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_valued_0(k5_finseq_1(A)) ) )).
fof(fc10_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ~ v1_xboole_0(k5_rvsum_3(A)) ) )).
fof(fc10_scm_halt,axiom,( v1_relat_1(k4_compos_1(k1_scmfsa_2)) & v4_relat_1(k4_compos_1(k1_scmfsa_2),k4_ordinal1) & v5_relat_1(k4_compos_1(k1_scmfsa_2),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_compos_1(k1_scmfsa_2)) & v1_finset_1(k4_compos_1(k1_scmfsa_2)) & v1_scmfsa7b(k4_compos_1(k1_scmfsa_2)) & v1_scm_halt(k4_compos_1(k1_scmfsa_2)) )).
fof(fc10_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k9_scmfsa_2(A,B))) ) )).
fof(fc10_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_scmfsa6c(k10_scmfsa_2(A,B)) ) )).
fof(fc10_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k4_scmfsa8b(A,B,C,D)) & v1_relat_1(k4_scmfsa8b(A,B,C,D)) & v4_relat_1(k4_scmfsa8b(A,B,C,D),k4_ordinal1) & v5_relat_1(k4_scmfsa8b(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa8b(A,B,C,D)) & v1_finset_1(k4_scmfsa8b(A,B,C,D)) & v1_afinsq_1(k4_scmfsa8b(A,B,C,D)) & v3_compos_1(k4_scmfsa8b(A,B,C,D),k1_scmfsa_2) & v4_compos_1(k4_scmfsa8b(A,B,C,D),k1_scmfsa_2) ) ) )).
fof(fc10_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v2_extpro_1(k10_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc10_scmfsa_4,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v2_amistd_5(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc10_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_scmfsa_2)) ) => ( v1_ami_2(k9_scmfsa_m(A,B)) & ~ v1_scmfsa_m(k9_scmfsa_m(A,B)) ) ) )).
fof(fc10_scmpds_4,axiom,( ! [A] : ( ( v4_scmpds_4(A) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k3_afinsq_1(A)) & v4_relat_1(k3_afinsq_1(A),k4_ordinal1) & v5_relat_1(k3_afinsq_1(A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_afinsq_1(A)) & v1_funct_1(k3_afinsq_1(A)) & v1_finset_1(k3_afinsq_1(A)) & v1_afinsq_1(k3_afinsq_1(A)) & v3_scmpds_4(k3_afinsq_1(A)) ) ) )).
fof(fc10_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v6_compos_0(k13_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc10_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k6_scmpds_6(B,C,A)) & v4_relat_1(k6_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k6_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k6_scmpds_6(B,C,A)) & v1_funct_1(k6_scmpds_6(B,C,A)) & v1_finset_1(k6_scmpds_6(B,C,A)) & v1_afinsq_1(k6_scmpds_6(B,C,A)) & v2_compos_1(k6_scmpds_6(B,C,A),k1_scmpds_2) ) ) )).
fof(fc10_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v2_extpro_1(k7_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc10_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k6_scmring2(A,B,C))) ) )).
fof(fc10_scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k5_scmyciel(A)) ) )).
fof(fc10_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & ~ v1_xboole_0(H) & ~ v1_xboole_0(I) ) => v1_setfam_1(k7_enumset1(A,B,C,D,E,F,G,H,I)) ) )).
fof(fc10_sfmastr1,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k16_scmfsa_2(B,A)) ) )).
fof(fc10_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_classes1(B) & v1_card_1(C) ) => v1_classes1(k3_simplex0(A,B,C)) ) )).
fof(fc10_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v6_simplex0(B,u1_struct_0(A)) & v1_simplex1(B,A) & v2_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ~ v3_pencil_1(k5_simplex1(C,A,B)) & v1_matroid0(k5_simplex1(C,A,B)) & v3_matroid0(k5_simplex1(C,A,B)) & v2_simplex1(k5_simplex1(C,A,B),A) ) ) )).
fof(fc10_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(fc10_sincos10,axiom,( v1_funct_1(k2_sincos10) & v2_funct_1(k2_sincos10) )).
fof(fc10_sppol_2,axiom,( ! [A] : ! [B] : ( ( v1_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => v1_topreal1(k1_rfinseq(B,A)) ) )).
fof(fc10_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v1_sprect_1(k1_sprect_1(A)) ) )).
fof(fc10_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_stacks_1(A)) & ~ v11_struct_0(k8_stacks_1(A)) & v1_stacks_1(k8_stacks_1(A)) & v7_stacks_1(k8_stacks_1(A)) ) ) )).
fof(fc10_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => v9_struct_0(k4_struct_0(A),A) ) )).
fof(fc10_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) )).
fof(fc10_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k3_tex_4(A,B)) ) )).
fof(fc10_topalg_5,axiom,( ! [A] : ! [B] : ( ( v1_toprealb(A) & m1_pre_topc(A,k15_euclid(2)) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v8_struct_0(k5_topalg_1(A,B)) & v15_algstr_0(k5_topalg_1(A,B)) ) ) )).
fof(fc10_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v5_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) ) => ( v1_xreal_0(k2_xxreal_2(k9_xtuple_0(B))) & v1_xxreal_0(k2_xxreal_2(k9_xtuple_0(B))) ) ) )).
fof(fc10_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v9_rltopsp1(k3_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc10_topreala,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k2_xxreal_1(A,B)) ) )).
fof(fc10_toprealb,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ v1_xboole_0(k5_toprealb(A)) ) )).
fof(fc10_toprealc,axiom,( v7_struct_0(k15_euclid(k5_numbers)) & v5_rltopsp1(k15_euclid(k5_numbers)) )).
fof(fc10_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v3_pre_topc(k2_struct_0(A),A) ) )).
fof(fc10_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( ~ v1_xboole_0(k10_finseq_1(A,B)) & v4_trees_3(k10_finseq_1(A,B)) ) ) )).
fof(fc10_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v3_trees_9(A) & m1_subset_1(B,k9_xtuple_0(A)) ) => ( v1_relat_1(k5_trees_2(A,B)) & v1_funct_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)) & v3_trees_9(k5_trees_2(A,B)) ) ) )).
fof(fc10_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) ) => v5_relat_1(k2_xboole_0(A,B),k3_numbers) ) )).
fof(fc10_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & ~ v1_xboole_0(C) & v5_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k1_valued_1(D,E)) & v1_partfun1(k1_valued_1(D,E),A) ) ) )).
fof(fc10_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v2_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ~ v1_xboole_0(k8_vectsp10(B,A,C)) ) )).
fof(fc10_waybel10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v1_funct_1(k6_waybel10(A,B)) & v1_funct_2(k6_waybel10(A,B),u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(k6_waybel10(A,B),A) ) ) )).
fof(fc10_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => v4_yellow_6(k2_waybel11(A),A) ) )).
fof(fc10_waybel18,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,B))) & v5_orders_2(k4_yellow_1(A,k7_funcop_1(A,B))) ) ) )).
fof(fc10_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v1_yellow_0(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) ) ) )).
fof(fc10_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v5_orders_2(B) & l1_waybel_9(B) ) => ( v1_orders_2(k3_waybel24(A,B)) & v5_orders_2(k3_waybel24(A,B)) ) ) )).
fof(fc10_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_waybel18(A) & l1_pre_topc(A) ) => ( v3_lattice3(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) & v3_waybel_3(k1_waybel25(A)) ) ) )).
fof(fc10_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v3_waybel_3(A) & l1_waybel_9(A) ) => ( v1_orders_2(k1_yellow_1(k5_waybel11(A))) & v3_waybel_3(k1_yellow_1(k5_waybel11(A))) ) ) )).
fof(fc10_waybel34,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_orders_2(k1_yellow_2(A,A,B)) & v4_yellow_0(k1_yellow_2(A,A,B),A) & v3_lattice3(k1_yellow_2(A,A,B)) ) ) )).
fof(fc10_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v12_waybel_0(k3_waybel_0(A,B),A) ) )).
fof(fc10_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k2_yellow_2(A)) & v1_funct_2(k2_yellow_2(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)) & v19_waybel_0(k2_yellow_2(A),k1_yellow_1(k7_waybel_0(A)),A) & v20_waybel_0(k2_yellow_2(A),k1_yellow_1(k7_waybel_0(A)),A) ) ) )).
fof(fc10_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v5_waybel_3(B) & m1_subset_1(C,A) ) => v3_orders_2(k1_funct_1(B,C)) ) )).
fof(fc10_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k3_waybel_4(A))) & v3_lattice3(k1_yellow_1(k3_waybel_4(A))) ) ) )).
fof(fc10_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc10_waybel_9,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ( v3_orders_2(k2_waybel_9(A)) & v6_waybel_0(k2_waybel_9(A),A) ) ) )).
fof(fc10_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k11_xboolean(A,B)) ) )).
fof(fc10_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v2_xxreal_0(k2_xcmplx_0(A,B)) ) )).
fof(fc10_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xxreal_0(B) ) => v3_membered(k2_xxreal_1(A,B)) ) )).
fof(fc10_xxreal_2,axiom,( ! [A] : ( ( v6_membered(A) & v2_xxreal_2(A) ) => ( v1_xxreal_0(k1_xxreal_2(A)) & v7_ordinal1(k1_xxreal_2(A)) ) ) )).
fof(fc10_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(A,B)) & v2_xxreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc10_yellow10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v24_waybel_0(A) & v1_lattice3(A) & v1_waybel_8(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v24_waybel_0(B) & v1_lattice3(B) & v1_waybel_8(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v1_waybel_8(k3_yellow_3(A,B)) ) ) )).
fof(fc10_yellow_1,axiom,( ! [A] : ! [B] : ( l1_orders_2(B) => v1_yellow_1(k2_funcop_1(A,B)) ) )).
fof(fc10_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v2_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => v2_waybel_0(k2_zfmisc_1(C,D),k3_yellow_3(A,B)) ) )).
fof(fc10_yellow_6,axiom,( ! [A] : ! [B] : ( ( v7_waybel_0(A) & l1_orders_2(A) & v7_waybel_0(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v7_waybel_0(k3_yellow_3(A,B)) ) ) )).
fof(fc10_yellow_7,axiom,( ! [A] : ( ( v2_yellow_0(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v1_yellow_0(k7_lattice3(A)) ) ) )).
fof(fc110_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)),k10_xtuple_0(k2_xboole_0(A,B)))) )).
fof(fc110_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xcmplx_0(B) ) => v1_xboole_0(k27_member_1(A,B)) ) )).
fof(fc110_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v3_card_1(A,1) ) => ( v1_relat_1(k63_valued_1(A)) & v1_funct_1(k63_valued_1(A)) & v1_xboole_0(k63_valued_1(A)) ) ) )).
fof(fc111_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)),k9_xtuple_0(k2_xboole_0(A,B)))) )).
fof(fc111_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_xcmplx_0(B) ) => ~ v1_xboole_0(k27_member_1(A,B)) ) )).
fof(fc111_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k30_valued_1(B)) & v4_relat_1(k30_valued_1(B),A) & v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B)) ) ) )).
fof(fc112_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => v1_xboole_0(k3_xboole_0(k6_subset_1(A,B),C)) ) )).
fof(fc112_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_xcmplx_0(B) ) => v1_membered(k27_member_1(A,B)) ) )).
fof(fc112_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k35_valued_1(B)) & v4_relat_1(k35_valued_1(B),A) & v1_funct_1(k35_valued_1(B)) & v1_valued_0(k35_valued_1(B)) ) ) )).
fof(fc113_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => v1_xboole_0(k5_xboole_0(k9_xtuple_0(k2_zfmisc_1(A,B)),A)) ) )).
fof(fc113_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => v3_membered(k27_member_1(A,B)) ) )).
fof(fc113_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k39_valued_1(B)) & v4_relat_1(k39_valued_1(B),A) & v1_funct_1(k39_valued_1(B)) ) ) )).
fof(fc114_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => v1_xboole_0(k5_xboole_0(k10_xtuple_0(k2_zfmisc_1(B,A)),A)) ) )).
fof(fc114_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v1_rat_1(B) ) => v4_membered(k27_member_1(A,B)) ) )).
fof(fc114_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k54_valued_1(B)) & v4_relat_1(k54_valued_1(B),A) & v1_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B)) ) ) )).
fof(fc115_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => v1_xboole_0(k4_xboole_0(k7_relat_1(A,B),k10_xtuple_0(A))) ) )).
fof(fc115_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) ) => ( v1_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v1_partfun1(k30_valued_1(B),A) & v1_valued_0(k30_valued_1(B)) ) ) )).
fof(fc116_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : v1_xboole_0(k4_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(k2_xboole_0(A,C),k2_xboole_0(B,D)))) )).
fof(fc116_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) ) => ( v1_relat_1(k35_valued_1(B)) & v1_funct_1(k35_valued_1(B)) & v1_partfun1(k35_valued_1(B),A) & v1_valued_0(k35_valued_1(B)) ) ) )).
fof(fc117_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k3_xboole_0(A,B),C),k3_xboole_0(A,k3_xboole_0(B,C)))) )).
fof(fc117_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) ) => ( v1_relat_1(k39_valued_1(B)) & v1_funct_1(k39_valued_1(B)) & v1_partfun1(k39_valued_1(B),A) ) ) )).
fof(fc118_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => v1_xboole_0(k4_xboole_0(k4_subset_1(A,B,C),A)) ) )).
fof(fc118_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) ) => ( v1_relat_1(k54_valued_1(B)) & v1_funct_1(k54_valued_1(B)) & v1_partfun1(k54_valued_1(B),A) & v3_valued_0(k54_valued_1(B)) ) ) )).
fof(fc119_fomodel0,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v2_funct_2(k4_relat_1(A),A) ) )).
fof(fc119_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_valued_0(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k7_valued_1(B,C)) & v4_relat_1(k7_valued_1(B,C),A) & v1_funct_1(k7_valued_1(B,C)) ) ) )).
fof(fc11_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ( v1_relat_1(k28_abcmiz_1(A)) & ~ v3_relat_1(k28_abcmiz_1(A)) & v4_relat_1(k28_abcmiz_1(A),u1_struct_0(A)) & v1_funct_1(k28_abcmiz_1(A)) & v1_partfun1(k28_abcmiz_1(A),u1_struct_0(A)) ) ) )).
fof(fc11_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) & ~ v1_abian(B) ) => ~ v1_abian(k2_xcmplx_0(B,A)) ) )).
fof(fc11_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(k7_afinsq_1(A,B,C)) & v1_funct_1(k7_afinsq_1(A,B,C)) ) )).
fof(fc11_algstr_0,axiom,( v14_algstr_0(k3_algstr_0) )).
fof(fc11_algstr_4,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k12_algstr_4(A)) ) )).
fof(fc11_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_ami_3,k6_ami_3(A,B))) ) )).
fof(fc11_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => v15_aofa_000(k12_aofa_000(A),A) ) )).
fof(fc11_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & l3_msualg_1(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & l3_msualg_1(D,A) & v2_relat_1(E) & m1_msafree(E,A,C) ) => ~ v1_xboole_0(k12_aofa_a00(A,C,D,E)) ) )).
fof(fc11_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & ~ v2_struct_0(E) & v2_unialg_1(E) & v3_unialg_1(E) & v4_unialg_1(E) & v3_aofa_000(E) & v4_aofa_000(E) & v5_aofa_000(E) & v6_aofa_000(E) & ~ v10_aofa_000(E) & v11_aofa_000(E) & v12_aofa_000(E) & v5_aofa_a01(E,A,B,C,D) & l3_aofa_a00(E,A,C,u4_aofa_a00(A,B,C,D)) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),F)) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),F)) ) => v15_aofa_000(k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,D),E,F,G,H),E) ) )).
fof(fc11_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & v1_hahnban1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v3_bilinear(k9_bilinear(A,B,C,D,E),A,B,C) ) ) )).
fof(fc11_binop_2,axiom,( v1_funct_1(k3_binop_2) & v1_funct_2(k3_binop_2,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_setwiseo(k3_binop_2,k2_numbers) )).
fof(fc11_borsuk_5,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k3_xcmplx_0(B,A)) ) )).
fof(fc11_card_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v1_xboole_0(k6_ordinal1(A)) ) )).
fof(fc11_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k12_card_3(A,B)) & v4_relat_1(k12_card_3(A,B),k4_card_3(A)) & v1_funct_1(k12_card_3(A,B)) ) ) )).
fof(fc11_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v3_catalg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B)) ) ) )).
fof(fc11_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_binop_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v5_group_1(g1_cayldick(A,C,B,D,E,F,G,H)) & v1_cayldick(g1_cayldick(A,C,B,D,E,F,G,H)) ) ) )).
fof(fc11_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v3_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k18_valued_1(A,B)) & v1_partfun1(k18_valued_1(A,B),k2_numbers) & v2_cfdiff_1(k18_valued_1(A,B)) ) ) )).
fof(fc11_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v5_circcomb(A) & l1_msualg_1(A) ) => v1_relat_1(k3_msafree2(A)) ) )).
fof(fc11_circcomb,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_circcomb(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & v1_circcomb(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(A,B)) & v1_msualg_1(k2_circcomb(A,B)) & v1_circcomb(k2_circcomb(A,B)) ) ) )).
fof(fc11_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( v13_algstr_0(k9_clopban2(A)) & v2_rlvect_1(k9_clopban2(A)) & v3_rlvect_1(k9_clopban2(A)) & v4_rlvect_1(k9_clopban2(A)) & v3_normsp_0(k9_clopban2(A)) & v4_normsp_0(k9_clopban2(A)) & v2_clvect_1(k9_clopban2(A)) & v3_clvect_1(k9_clopban2(A)) & v4_clvect_1(k9_clopban2(A)) & v5_clvect_1(k9_clopban2(A)) & v8_clvect_1(k9_clopban2(A)) & v1_vectsp_1(k9_clopban2(A)) & v3_vectsp_1(k9_clopban2(A)) & v2_cfuncdom(k9_clopban2(A)) & v3_group_1(k9_clopban2(A)) ) ) )).
fof(fc11_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v1_mssubfam(C,u1_struct_0(A),u3_msualg_1(A,B)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( v5_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) & v6_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc11_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v16_closure2(B,A) & l1_closure2(B,A) ) => v5_closure2(u1_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc11_coh_sp,axiom,( ! [A] : ~ v1_xboole_0(k20_coh_sp(A)) )).
fof(fc11_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_relat_1(k10_cohsp_1(A)) ) )).
fof(fc11_compos_0,axiom,( v2_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) & v3_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) )).
fof(fc11_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v4_compos_1(C,A) ) => ( v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) & v4_compos_1(k7_compos_1(A,B,C),A) ) ) )).
fof(fc11_comput_1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( v1_relat_1(k5_comput_1(A,1)) & v4_relat_1(k5_comput_1(A,1),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k5_comput_1(A,1)) & v4_valued_0(k5_comput_1(A,1)) & v2_margrel1(k5_comput_1(A,1)) & v7_comput_1(k5_comput_1(A,1)) ) ) )).
fof(fc11_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v1_comseq_3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k45_valued_1(A,B)) & v1_funct_2(k45_valued_1(A,B),k4_ordinal1,k2_numbers) & v1_comseq_3(k45_valued_1(A,B)) ) ) )).
fof(fc11_dickson,axiom,( ~ v2_struct_0(k11_dickson) & v4_dickson(k11_dickson) )).
fof(fc11_dilworth,axiom,( ! [A] : ! [B] : ( ( v4_dilworth(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & v4_dilworth(k5_yellow_0(A,B)) ) ) )).
fof(fc11_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k17_dualsp01(A)) & v3_lopban_1(k17_dualsp01(A)) ) ) )).
fof(fc11_euclid_7,axiom,( ! [A] : ( ~ v2_struct_0(k10_funcsdom(A)) & v13_algstr_0(k10_funcsdom(A)) & v1_monoid_0(k10_funcsdom(A)) & v1_rlvect_1(k10_funcsdom(A)) & v2_rlvect_1(k10_funcsdom(A)) & v3_rlvect_1(k10_funcsdom(A)) & v4_rlvect_1(k10_funcsdom(A)) & v5_rlvect_1(k10_funcsdom(A)) & v6_rlvect_1(k10_funcsdom(A)) & v7_rlvect_1(k10_funcsdom(A)) & v8_rlvect_1(k10_funcsdom(A)) ) )).
fof(fc11_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v3_card_1(k18_valued_1(B,C),A) ) ) )).
fof(fc11_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_exchsort(A) ) => ( v1_relat_1(k9_funct_7(A,B,C)) & v1_funct_1(k9_funct_7(A,B,C)) & v3_valued_0(k9_funct_7(A,B,C)) & v1_exchsort(k9_funct_7(A,B,C)) ) ) )).
fof(fc11_facirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => v2_facirc_1(k5_finseq_1(A)) ) )).
fof(fc11_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_comseq_2(A) & v2_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v1_comseq_2(B) & v2_fcont_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k18_valued_1(A,B)) & v2_fcont_1(k18_valued_1(A,B)) ) ) )).
fof(fc11_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k8_filter_2(A,B,C)) ) )).
fof(fc11_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : v1_finseq_1(k11_finseq_1(A,B,C)) )).
fof(fc11_finset_1,axiom,( ! [A] : ! [B] : ( v1_finset_1(A) => v1_finset_1(k3_xboole_0(A,B)) ) )).
fof(fc11_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) => v1_xboole_0(k1_funct_1(k9_fomodel0(A),B)) ) )).
fof(fc11_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ~ v1_xboole_0(k1_funct_1(k28_fomodel1(A),B)) ) )).
fof(fc11_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_relat_1(k5_relat_1(C,k37_fomodel1(A))) & v5_relat_1(k5_relat_1(C,k37_fomodel1(A)),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))) & v1_funct_1(k5_relat_1(C,k37_fomodel1(A))) ) ) )).
fof(fc11_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => v1_partfun1(k9_fomodel3(A,B,C),k4_finseq_2(C,A)) ) )).
fof(fc11_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B),C),A) ) )).
fof(fc11_funcop_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(k17_funcop_1(A,B)) & v1_funct_1(k17_funcop_1(A,B)) ) )).
fof(fc11_funct_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & m1_subset_1(B,k9_xtuple_0(A)) ) => ~ v1_xboole_0(k1_funct_1(A,B)) ) )).
fof(fc11_funct_2,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v4_relat_1(k4_relat_1(A),A) & v1_funct_1(k4_relat_1(A)) & v1_partfun1(k4_relat_1(A),A) ) )).
fof(fc11_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_funct_1(B,A) & v1_relat_1(C) & v1_funct_1(C) & v5_funct_1(C,A) ) => ( v1_relat_1(k1_funct_4(B,C)) & v1_funct_1(k1_funct_4(B,C)) & v5_funct_1(k1_funct_4(B,C),A) ) ) )).
fof(fc11_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k9_funct_7(A,B,C)) & v1_funct_1(k9_funct_7(A,B,C)) ) ) )).
fof(fc11_functor0,axiom,( ! [A] : ! [B] : ( ( l2_altcat_1(A) & m1_altcat_2(B,A) ) => ( v9_functor0(k10_functor0(A,B),B,A) & v10_functor0(k10_functor0(A,B),B,A) ) ) )).
fof(fc11_gate_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xboole_0(B) ) => ~ v1_xboole_0(k5_gate_1(A,B)) ) )).
fof(fc11_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_001(B,A) & m3_glib_001(B,A) & v3_glib_001(C,A) & m3_glib_001(C,A) ) => v3_glib_001(k7_glib_001(A,B,C),A) ) )).
fof(fc11_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k8_graph_3(A,B,C)) & v1_graph_1(k8_graph_3(A,B,C)) & v5_graph_1(k8_graph_3(A,B,C)) ) ) )).
fof(fc11_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ~ v1_xboole_0(k17_grcat_1(A)) ) )).
fof(fc11_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v8_struct_0(k10_group_6(A,B,C)) & v15_algstr_0(k10_group_6(A,B,C)) ) ) )).
fof(fc11_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => v4_group_7(k5_finseq_1(A),k1_tarski(1)) ) )).
fof(fc11_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k8_hahnban1(A,B)) & v3_rlvect_1(k8_hahnban1(A,B)) & v7_vectsp_1(k8_hahnban1(A,B),A) ) ) )).
fof(fc11_hilbert3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => v1_hilbert3(k3_hilbert1(k4_hilbert1(A,B),A)) ) )).
fof(fc11_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v4_relat_1(k7_hilbert4(A),k4_ordinal1) ) )).
fof(fc11_hurwitz2,axiom,( v1_funct_1(k9_polynom3(k1_complfld)) & v1_funct_2(k9_polynom3(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld)) & v6_hurwitz2(k9_polynom3(k1_complfld)) & ~ v7_hurwitz2(k9_polynom3(k1_complfld)) )).
fof(fc11_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k11_ideal_1(A,B,C)) ) )).
fof(fc11_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) => ( v1_relat_1(k2_xtuple_0(C)) & v4_relat_1(k2_xtuple_0(C),B) ) ) )).
fof(fc11_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ( v3_lattices(k21_interva1(A)) & v15_lattices(k21_interva1(A)) ) ) )).
fof(fc11_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v8_isomichi(A) & l1_pre_topc(A) & v5_isomichi(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v5_isomichi(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc11_jordan,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v9_rltopsp1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v9_rltopsp1(k2_tops_1(k15_euclid(A),B),k15_euclid(A)) ) )).
fof(fc11_jordan23,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ~ v1_xboole_0(k1_jordan9(A,B)) & ~ v3_funct_1(k1_jordan9(A,B)) & v1_finseq_6(k1_jordan9(A,B),u1_struct_0(k15_euclid(2))) & v1_topreal1(k1_jordan9(A,B)) & v2_topreal1(k1_jordan9(A,B)) & v1_goboard5(k1_jordan9(A,B)) & v2_goboard5(k1_jordan9(A,B)) & v1_sprect_2(k1_jordan9(A,B)) & v2_jordan23(k1_jordan9(A,B)) ) ) )).
fof(fc11_kurato_1,axiom,( v2_tops_2(k3_kurato_1(k3_topmetr,k6_kurato_1),k3_topmetr) )).
fof(fc11_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k16_lopban_1(A,B)) & v3_lopban_1(k16_lopban_1(A,B)) ) ) )).
fof(fc11_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v13_algstr_0(k9_lopban_2(A)) & v2_rlvect_1(k9_lopban_2(A)) & v3_rlvect_1(k9_lopban_2(A)) & v4_rlvect_1(k9_lopban_2(A)) & v5_rlvect_1(k9_lopban_2(A)) & v6_rlvect_1(k9_lopban_2(A)) & v7_rlvect_1(k9_lopban_2(A)) & v8_rlvect_1(k9_lopban_2(A)) & v2_funcsdom(k9_lopban_2(A)) & v3_normsp_0(k9_lopban_2(A)) & v4_normsp_0(k9_lopban_2(A)) & v2_normsp_1(k9_lopban_2(A)) & v1_vectsp_1(k9_lopban_2(A)) & v3_vectsp_1(k9_lopban_2(A)) & v3_group_1(k9_lopban_2(A)) ) ) )).
fof(fc11_ltlaxio3,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ~ v2_ltlaxio3(k4_tarski(k8_ltlaxio3(A),k9_ltlaxio3(A))) ) )).
fof(fc11_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => v1_ltlaxio4(k12_ltlaxio3(A)) ) )).
fof(fc11_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,k6_cqc_lang(A,B),k6_cqc_lang(A,C)),k8_cqc_lang(A,C,B)),A) ) )).
fof(fc11_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v1_finseq_1(k1_funct_1(k3_matrtop1(A,B,C),D)) & v3_valued_0(k1_funct_1(k3_matrtop1(A,B,C),D)) ) ) )).
fof(fc11_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B)) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),A,A) ) ) )).
fof(fc11_member_1,axiom,( ! [A] : ( ( v2_membered(A) & ~ v1_xboole_0(A) ) => ( v2_membered(k6_member_1(A)) & ~ v1_xboole_0(k6_member_1(A)) ) ) )).
fof(fc11_membered,axiom,( ! [A] : ( v1_int_1(A) => v5_membered(k1_tarski(A)) ) )).
fof(fc11_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v5_memstr_0(E,A,B,C) ) => ( v1_relat_1(k1_funct_4(D,E)) & v1_funct_1(k1_funct_4(D,E)) & v5_memstr_0(k1_funct_4(D,E),A,B,C) ) ) )).
fof(fc11_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & ~ v3_mfold_0(A) & l1_pre_topc(A) ) => ( v1_pre_topc(k1_pre_topc(A,k2_mfold_0(A))) & v3_mfold_0(k1_pre_topc(A,k2_mfold_0(A))) ) ) )).
fof(fc11_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v6_struct_0(k2_mod_4(A)) & v13_algstr_0(k2_mod_4(A)) & v33_algstr_0(k2_mod_4(A)) & v36_algstr_0(k2_mod_4(A)) & v5_vectsp_1(k2_mod_4(A)) & v2_rlvect_1(k2_mod_4(A)) & v3_rlvect_1(k2_mod_4(A)) & v4_rlvect_1(k2_mod_4(A)) & v1_group_1(k2_mod_4(A)) & v3_group_1(k2_mod_4(A)) ) ) )).
fof(fc11_modelc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k30_modelc_1(k25_modelc_2(A)))) ) => ( ~ v2_struct_0(k42_modelc_2(A,B)) & v9_modelc_2(k42_modelc_2(A,B)) & v10_modelc_2(k42_modelc_2(A,B)) ) ) )).
fof(fc11_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v7_ordinal1(k4_moebius2(A)) & ~ v8_ordinal1(k4_moebius2(A)) ) ) )).
fof(fc11_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msafree4(B,A) ) => v4_card_3(k1_funct_1(B,C)) ) )).
fof(fc11_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( ~ v1_xboole_0(k1_funct_6(A)) & v1_relat_1(k1_funct_6(A)) & v1_funct_1(k1_funct_6(A)) ) ) )).
fof(fc11_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) => ( v1_relat_1(k6_pboole(A,B,C)) & v4_relat_1(k6_pboole(A,B,C),A) & v1_funct_1(k6_pboole(A,B,C)) & v1_partfun1(k6_pboole(A,B,C),A) & v2_finset_1(k6_pboole(A,B,C)) ) ) )).
fof(fc11_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ~ v1_xboole_0(k14_msualg_2(A,B)) ) )).
fof(fc11_mycielsk,axiom,( ! [A] : ( ( v1_mycielsk(A) & l1_orders_2(A) ) => ( v1_orders_2(k3_necklace(A)) & v2_mycielsk(k3_necklace(A)) ) ) )).
fof(fc11_nat_1,axiom,( ! [A] : ( ~ v8_ordinal1(A) => v1_setfam_1(k1_tarski(A)) ) )).
fof(fc11_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) ) => ( v1_relat_1(k6_nat_3(A,B,C)) & v4_relat_1(k6_nat_3(A,B,C),A) & v1_funct_1(k6_nat_3(A,B,C)) & v1_partfun1(k6_nat_3(A,B,C),A) & v3_valued_0(k6_nat_3(A,B,C)) ) ) )).
fof(fc11_nat_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_nat_6(B,A) ) => v7_ordinal1(k7_xcmplx_0(A,B)) ) )).
fof(fc11_neckla_3,axiom,( ! [A] : ( ( v1_necklace(A) & l1_orders_2(A) ) => ( v1_orders_2(k3_necklace(A)) & v1_necklace(k3_necklace(A)) ) ) )).
fof(fc11_newton,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(k9_newton(A)) ) )).
fof(fc11_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_nfcont_1(k1_normsp_3(A,B),A) ) )).
fof(fc11_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_ec_pf_2(A,3) ) => ( v1_xreal_0(k1_numpoly1(A)) & ~ v1_int_2(k1_numpoly1(A)) ) ) )).
fof(fc11_oposet_1,axiom,( v3_qmax_1(k1_oposet_1) & v5_oposet_1(k1_oposet_1) )).
fof(fc11_ordinal1,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v9_ordinal1(A) ) => v10_ordinal1(k10_xtuple_0(A)) ) )).
fof(fc11_ordinal6,axiom,( ! [A] : ( v1_relat_1(k2_ordinal6(A)) & v1_funct_1(k2_ordinal6(A)) & v5_ordinal1(k2_ordinal6(A)) & v1_ordinal2(k2_ordinal6(A)) & v2_ordinal2(k2_ordinal6(A)) ) )).
fof(fc11_partfun3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_relat_1(k2_funcop_1(A,k5_numbers)) ) )).
fof(fc11_pcs_0,axiom,( v2_struct_0(k5_pcs_0) & v2_pcs_0(k5_pcs_0) )).
fof(fc11_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v5_group_1(k12_polynom1(A,B)) ) ) )).
fof(fc11_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v4_rlvect_1(k13_polynom3(A)) ) ) )).
fof(fc11_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,B)) ) => ( v1_relat_1(k1_funct_5(C)) & v4_relat_1(k1_funct_5(C),A) & v1_funct_1(k1_funct_5(C)) & v1_partfun1(k1_funct_5(C),A) ) ) )).
fof(fc11_pre_poly,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( v1_relat_1(k16_finseq_1(B,A)) & v1_funct_1(k16_finseq_1(B,A)) & v1_card_3(k16_finseq_1(B,A)) & v1_finseq_1(k16_finseq_1(B,A)) ) ) )).
fof(fc11_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v5_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & v5_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc11_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_quaterni(B) ) => v1_quaterni(k18_quaterni(A,B)) ) )).
fof(fc11_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & ~ v1_ratfunc1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k11_polynom3(A,B,C)) & v1_funct_2(k11_polynom3(A,B,C),k4_ordinal1,u1_struct_0(A)) & ~ v1_ratfunc1(k11_polynom3(A,B,C),A) ) ) )).
fof(fc11_rcomp_3,axiom,( ~ v3_xxreal_2(k2_subset_1(k1_numbers)) & ~ v4_xxreal_2(k2_subset_1(k1_numbers)) & v6_xxreal_2(k2_subset_1(k1_numbers)) )).
fof(fc11_relat_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A)) ) )).
fof(fc11_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_relat_2(A) & v1_relat_1(B) & v3_relat_2(B) ) => v3_relat_2(k3_xboole_0(A,B)) ) )).
fof(fc11_relset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k9_xtuple_0(A))) ) => ~ v1_xboole_0(k7_relat_1(A,B)) ) )).
fof(fc11_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_seq_2(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v3_valued_0(k24_valued_1(A,B)) & v1_seq_2(k24_valued_1(A,B)) ) ) )).
fof(fc11_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k3_ring_2(A,B)) & v1_funct_2(k3_ring_2(A,B),u1_struct_0(A),u1_struct_0(k2_ring_1(A,B))) & v5_mod_4(k3_ring_2(A,B),A,k2_ring_1(A,B)) ) ) )).
fof(fc11_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v9_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(C) ) => v9_rltopsp1(k1_convex1(A,B,C),A) ) )).
fof(fc11_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & l2_robbins1(A) ) => ( v6_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A)) ) ) )).
fof(fc11_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => v1_valued_0(k10_finseq_1(A,B)) ) )).
fof(fc11_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ~ v1_xboole_0(k6_rvsum_3(A)) ) )).
fof(fc11_scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(B) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k1_scmfsa8b(C,A,B)) & v1_relat_1(k1_scmfsa8b(C,A,B)) & v4_relat_1(k1_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8b(C,A,B)) & v1_finset_1(k1_scmfsa8b(C,A,B)) & v1_afinsq_1(k1_scmfsa8b(C,A,B)) & v1_scm_halt(k1_scmfsa8b(C,A,B)) ) ) )).
fof(fc11_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k10_scmfsa_2(A,B))) ) )).
fof(fc11_scmfsa6c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => v1_scmfsa6c(k14_scmfsa_2(C,A,B)) ) )).
fof(fc11_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k3_scmfsa8b(C,D,A,B)) & v1_relat_1(k3_scmfsa8b(C,D,A,B)) & v4_relat_1(k3_scmfsa8b(C,D,A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa8b(C,D,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa8b(C,D,A,B)) & v1_finset_1(k3_scmfsa8b(C,D,A,B)) & v1_afinsq_1(k3_scmfsa8b(C,D,A,B)) & v6_amistd_1(k3_scmfsa8b(C,D,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc11_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v2_extpro_1(k11_scmfsa_2(A),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc11_scmfsa_m,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_ami_2(k4_scmfsa_2(k1_nat_1(A,1))) & ~ v1_scmfsa_m(k4_scmfsa_2(k1_nat_1(A,1))) ) ) )).
fof(fc11_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v4_scmpds_4(A) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_scmpds_4(B) ) => ( v1_relat_1(k2_scmpds_4(A,B)) & v4_relat_1(k2_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k2_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_4(A,B)) & v1_funct_1(k2_scmpds_4(A,B)) & v1_finset_1(k2_scmpds_4(A,B)) & v1_afinsq_1(k2_scmpds_4(A,B)) & v3_scmpds_4(k2_scmpds_4(A,B)) ) ) )).
fof(fc11_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v6_compos_0(k14_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc11_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_scmpds_4(B) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( v1_relat_1(k3_scmpds_6(C,D,A,B)) & v4_relat_1(k3_scmpds_6(C,D,A,B),k4_ordinal1) & v5_relat_1(k3_scmpds_6(C,D,A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_6(C,D,A,B)) & v1_funct_1(k3_scmpds_6(C,D,A,B)) & v1_finset_1(k3_scmpds_6(C,D,A,B)) & v1_afinsq_1(k3_scmpds_6(C,D,A,B)) & v2_scmpds_4(k3_scmpds_6(C,D,A,B)) & v3_scmpds_4(k3_scmpds_6(C,D,A,B)) ) ) )).
fof(fc11_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & v3_extpro_1(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc11_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k7_scmring2(A,B,C))) ) )).
fof(fc11_scmyciel,axiom,( ! [A] : ! [B] : ( v4_scmyciel(A) => v4_scmyciel(k7_scmyciel(A,B)) ) )).
fof(fc11_sfmastr1,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k17_scmfsa_2(B,A)) ) )).
fof(fc11_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(B) & v1_card_1(C) ) => ~ v1_setfam_1(k3_simplex0(A,B,C)) ) )).
fof(fc11_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) & v2_funct_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(fc11_sincos10,axiom,( v1_funct_1(k3_sincos10) & v2_funct_1(k3_sincos10) )).
fof(fc11_sppol_2,axiom,( ! [A] : ! [B] : ( ( v1_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => v1_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)) ) )).
fof(fc11_sprect_1,axiom,( ! [A] : ( ( v1_sprect_1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v1_jordan1(k3_topreal1(2,A)) ) )).
fof(fc11_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v1_partfun1(k10_stacks_1(A),u4_struct_0(A)) & v3_relat_2(k10_stacks_1(A)) & v8_relat_2(k10_stacks_1(A)) ) ) )).
fof(fc11_struct_0,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l4_struct_0(A) ) => ~ v9_struct_0(k5_struct_0(A),A) ) )).
fof(fc11_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ~ v1_xboole_0(k3_zfmisc_1(A,B,C)) ) )).
fof(fc11_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k3_tex_4(A,B)) ) )).
fof(fc11_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v6_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) ) => ~ v1_xboole_0(k9_xtuple_0(B)) ) )).
fof(fc11_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v1_convex1(k1_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc11_topreala,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k3_xxreal_1(A,B)) ) )).
fof(fc11_toprealb,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v3_pre_topc(k5_toprealb(A),k2_topalg_2) ) )).
fof(fc11_toprealc,axiom,( ! [A] : ( ( v1_toprealc(A) & l1_struct_0(A) ) => v1_valued_2(u1_struct_0(A)) ) )).
fof(fc11_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k2_tops_1(A,B),A) ) )).
fof(fc11_trees_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v4_trees_3(k2_finseq_2(A,B)) ) ) )).
fof(fc11_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) ) => v5_relat_1(k2_xboole_0(A,B),k4_numbers) ) )).
fof(fc11_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v6_membered(B) & ~ v1_xboole_0(C) & v6_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k1_valued_1(D,E)) & v1_partfun1(k1_valued_1(D,E),A) ) ) )).
fof(fc11_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & ~ v3_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k11_vectsp10(A,B,C)) & ~ v3_funct_1(k11_vectsp10(A,B,C)) & v1_funct_2(k11_vectsp10(A,B,C),u1_struct_0(k6_vectsp10(A,B,k9_vectsp10(A,B,C))),u1_struct_0(A)) & v13_vectsp_1(k11_vectsp10(A,B,C),k6_vectsp10(A,B,k9_vectsp10(A,B,C)),A) & v1_hahnban1(k11_vectsp10(A,B,C),A,k6_vectsp10(A,B,k9_vectsp10(A,B,C))) ) ) )).
fof(fc11_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k5_waybel10(A)) & v2_funct_1(k5_waybel10(A)) & v1_funct_2(k5_waybel10(A),u1_struct_0(k2_waybel10(A)),u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A)))) ) ) )).
fof(fc11_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => v5_yellow_6(k2_waybel11(A),A) ) )).
fof(fc11_waybel18,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,B))) & v4_orders_2(k4_yellow_1(A,k7_funcop_1(A,B))) ) ) )).
fof(fc11_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v3_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) ) ) )).
fof(fc11_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( v1_monoid_0(k5_yellow_1(A,B)) & v1_orders_2(k5_yellow_1(A,B)) ) ) )).
fof(fc11_waybel25,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k1_waybel25(A))) ) => ( ~ v1_xboole_0(k2_pre_topc(k1_waybel25(A),k6_domain_1(u1_struct_0(k1_waybel25(A)),B))) & v1_waybel_0(k2_pre_topc(k1_waybel25(A),k6_domain_1(u1_struct_0(k1_waybel25(A)),B)),k1_waybel25(A)) & v12_waybel_0(k2_pre_topc(k1_waybel25(A),k6_domain_1(u1_struct_0(k1_waybel25(A)),B)),k1_waybel25(A)) ) ) )).
fof(fc11_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel_8(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ( v1_orders_2(k1_yellow_1(k5_waybel11(A))) & v2_waybel_8(k1_yellow_1(k5_waybel11(A))) ) ) )).
fof(fc11_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v13_waybel_0(k4_waybel_0(A,B),A) ) )).
fof(fc11_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k4_waybel_2(A)) & v1_funct_2(k4_waybel_2(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & v22_waybel_0(k4_waybel_2(A),k3_yellow_3(A,A),A) ) ) )).
fof(fc11_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ( v1_orders_2(k4_yellow_1(A,B)) & v3_orders_2(k4_yellow_1(A,B)) ) ) )).
fof(fc11_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & v4_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ v1_xboole_0(k5_waybel_4(A,B,C)) ) )).
fof(fc11_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v2_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc11_waybel_9,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ( v5_orders_2(k2_waybel_9(A)) & v6_waybel_0(k2_waybel_9(A),A) ) ) )).
fof(fc11_xreal_0,axiom,( ! [A] : ! [B] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => v2_xxreal_0(k2_xcmplx_0(A,B)) ) )).
fof(fc11_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xxreal_0(B) ) => v3_membered(k3_xxreal_1(B,A)) ) )).
fof(fc11_xxreal_2,axiom,( ~ v3_xxreal_2(k1_numbers) & ~ v4_xxreal_2(k1_numbers) )).
fof(fc11_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(B,A)) & v2_xxreal_0(k1_xxreal_3(B,A)) ) ) )).
fof(fc11_yellow10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_lattice3(A) & v2_waybel_8(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_lattice3(B) & v2_waybel_8(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v2_waybel_8(k3_yellow_3(A,B)) ) ) )).
fof(fc11_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k5_yellow_1(A,B)) & v1_orders_2(k5_yellow_1(A,B)) ) ) )).
fof(fc11_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v13_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => v13_waybel_0(k2_zfmisc_1(C,D),k3_yellow_3(A,B)) ) )).
fof(fc11_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v6_waybel_0(k2_yellow_6(A,B,C),B) & v1_yellow_6(k2_yellow_6(A,B,C),B) ) ) )).
fof(fc11_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & v10_waybel_1(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v10_waybel_1(k7_lattice3(A)) ) ) )).
fof(fc120_fomodel0,axiom,( ! [A] : ! [B] : v5_relat_1(k2_zfmisc_1(A,B),B) )).
fof(fc120_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_valued_0(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k13_valued_1(B,C)) & v4_relat_1(k13_valued_1(B,C),A) & v1_funct_1(k13_valued_1(B,C)) ) ) )).
fof(fc121_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k2_zfmisc_1(k1_tarski(B),k1_tarski(A)))) & v1_funct_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k2_zfmisc_1(k1_tarski(B),k1_tarski(A)))) & v3_relat_2(k1_funct_4(k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k2_zfmisc_1(k1_tarski(B),k1_tarski(A)))) ) )).
fof(fc121_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_valued_0(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k24_valued_1(B,C)) & v4_relat_1(k24_valued_1(B,C),A) & v1_funct_1(k24_valued_1(B,C)) ) ) )).
fof(fc122_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & m1_subset_1(C,k1_zfmisc_1(A)) ) => v1_xboole_0(k4_xboole_0(k8_relat_1(B,C),k8_relat_1(B,A))) ) )).
fof(fc122_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k7_valued_1(B,C)) & v1_funct_1(k7_valued_1(B,C)) & v1_partfun1(k7_valued_1(B,C),A) ) ) )).
fof(fc123_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => v1_xboole_0(k5_xboole_0(k8_relat_1(B,k2_xboole_0(A,k10_xtuple_0(B))),k9_xtuple_0(B))) ) )).
fof(fc123_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k13_valued_1(B,C)) & v1_funct_1(k13_valued_1(B,C)) & v1_partfun1(k13_valued_1(B,C),A) ) ) )).
fof(fc124_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_partfun1(B,A) ) => v1_xboole_0(k5_xboole_0(A,k1_relset_1(A,B))) ) )).
fof(fc124_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_xcmplx_0(C) ) => ( v1_relat_1(k24_valued_1(B,C)) & v1_funct_1(k24_valued_1(B,C)) & v1_partfun1(k24_valued_1(B,C),A) ) ) )).
fof(fc125_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,A) ) => v1_xboole_0(k4_xboole_0(k1_tarski(C),k9_funct_2(A,B))) ) )).
fof(fc125_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k1_valued_1(B,C)) & v4_relat_1(k1_valued_1(B,C),A) & v1_funct_1(k1_valued_1(B,C)) ) ) )).
fof(fc126_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => v1_xboole_0(k4_xboole_0(k2_relset_1(A,B),k1_relset_1(A,B))) ) )).
fof(fc126_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k45_valued_1(B,C)) & v4_relat_1(k45_valued_1(B,C),A) & v1_funct_1(k45_valued_1(B,C)) ) ) )).
fof(fc127_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => v1_xboole_0(k5_xboole_0(k7_subset_1(A,C,k6_subset_1(A,B)),k8_subset_1(A,C,B))) ) )).
fof(fc127_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k18_valued_1(B,C)) & v4_relat_1(k18_valued_1(B,C),A) & v1_funct_1(k18_valued_1(B,C)) ) ) )).
fof(fc128_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_funct_3(A,B)) ) => v1_xtuple_0(k1_xtuple_0(C)) ) )).
fof(fc128_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k50_valued_1(B,C)) & v4_relat_1(k50_valued_1(B,C),A) & v1_funct_1(k50_valued_1(B,C)) ) ) )).
fof(fc129_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_funct_3(A,B)) ) => v1_xtuple_0(k2_xtuple_0(C)) ) )).
fof(fc129_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v1_partfun1(k1_valued_1(B,C),A) ) ) )).
fof(fc12_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ( v3_msualg_1(k1_msafree3(A,k28_abcmiz_1(A)),A) & v4_msualg_1(k1_msafree3(A,k28_abcmiz_1(A)),A) ) ) )).
fof(fc12_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & ~ v1_abian(A) & v1_int_1(B) & ~ v1_abian(B) ) => v1_abian(k2_xcmplx_0(A,B)) ) )).
fof(fc12_afinsq_1,axiom,( ! [A] : ! [B] : ( v5_ordinal1(k6_afinsq_1(A,B)) & v1_finset_1(k6_afinsq_1(A,B)) ) )).
fof(fc12_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finset_1(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) & v1_finset_1(k54_valued_1(A)) ) ) )).
fof(fc12_algstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ~ v2_struct_0(g3_algstr_0(A,B)) & v15_algstr_0(g3_algstr_0(A,B)) ) ) )).
fof(fc12_algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k12_algstr_4(A)) ) )).
fof(fc12_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => v3_card_1(k2_amistd_1(k5_card_1(2),k1_ami_3,k7_ami_3(A)),1) ) )).
fof(fc12_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & v15_aofa_000(B,A) & m1_subset_1(B,u1_struct_0(A)) & v15_aofa_000(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => v15_aofa_000(k13_aofa_000(A,B,C),A) ) )).
fof(fc12_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & l5_aofa_a00(A) ) => v2_funct_1(u7_aofa_a00(A)) ) )).
fof(fc12_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k8_afinsq_1(A)) & v7_ordinal1(C) ) => ( v1_relat_1(k1_funct_1(B,C)) & v5_ordinal1(k1_funct_1(B,C)) & v1_funct_1(k1_funct_1(B,C)) & v1_finset_1(k1_funct_1(B,C)) ) ) )).
fof(fc12_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v4_bilinear(k9_bilinear(A,B,C,D,E),A,B,C) ) ) )).
fof(fc12_binop_2,axiom,( v1_funct_1(k9_binop_2) & v1_funct_2(k9_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_setwiseo(k9_binop_2,k1_numbers) )).
fof(fc12_borsuk_5,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k7_xcmplx_0(A,B)) ) )).
fof(fc12_card_1,axiom,( ! [A] : ( ~ v1_finset_1(A) => ~ v1_finset_1(k1_zfmisc_1(A)) ) )).
fof(fc12_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k12_card_3(A,B)) & v1_funct_1(k12_card_3(A,B)) & v1_partfun1(k12_card_3(A,B),k4_card_3(A)) ) ) )).
fof(fc12_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v3_msualg_1(k13_catalg_1(A),k3_catalg_1(u1_struct_0(A))) & v1_msafree1(k13_catalg_1(A),k3_catalg_1(u1_struct_0(A))) & v1_msualg_6(k13_catalg_1(A),k3_catalg_1(u1_struct_0(A))) ) ) )).
fof(fc12_cayldick,axiom,( ~ v6_struct_0(k3_cayldick) & v2_rlvect_1(k3_cayldick) & v3_rlvect_1(k3_cayldick) & v3_group_1(k3_cayldick) & v5_group_1(k3_cayldick) & v3_topmetr(k3_cayldick) & v1_cayldick(k3_cayldick) )).
fof(fc12_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v3_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k18_valued_1(B,A)) & v1_partfun1(k18_valued_1(B,A),k2_numbers) & v2_cfdiff_1(k18_valued_1(B,A)) ) ) )).
fof(fc12_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v6_circcmb3(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & v6_circcmb3(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(A,B)) & v1_msualg_1(k2_circcomb(A,B)) & v6_circcmb3(k2_circcomb(A,B)) ) ) )).
fof(fc12_circcomb,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_circcomb(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & v2_circcomb(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(A,B)) & v1_msualg_1(k2_circcomb(A,B)) & v2_circcomb(k2_circcomb(A,B)) ) ) )).
fof(fc12_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v2_mssubfam(C,u1_struct_0(A),u3_msualg_1(A,B)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( v5_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) & v7_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc12_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v17_closure2(B,A) & l1_closure2(B,A) ) => v6_closure2(u1_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc12_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k20_coh_sp(A)) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc12_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( ~ v1_xboole_0(k12_cohsp_1(A,B)) & v1_classes1(k12_cohsp_1(A,B)) & v1_coh_sp(k12_cohsp_1(A,B)) ) ) )).
fof(fc12_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) & m1_subset_1(B,k4_compos_0(A)) ) => v2_card_3(k6_compos_0(A,B)) ) )).
fof(fc12_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( ~ v1_xboole_0(k10_compos_1(A,B)) & v1_relat_1(k10_compos_1(A,B)) & v4_relat_1(k10_compos_1(A,B),k4_ordinal1) & v5_relat_1(k10_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k10_compos_1(A,B)) & v1_finset_1(k10_compos_1(A,B)) & v1_afinsq_1(k10_compos_1(A,B)) ) ) )).
fof(fc12_comput_1,axiom,( v1_relat_1(k5_comput_1(2,2)) & v4_relat_1(k5_comput_1(2,2),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k5_comput_1(2,2)) & v4_valued_0(k5_comput_1(2,2)) & v2_margrel1(k5_comput_1(2,2)) & v7_comput_1(k5_comput_1(2,2)) )).
fof(fc12_comseq_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v1_comseq_3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k24_valued_1(B,A)) & v1_funct_2(k24_valued_1(B,A),k4_ordinal1,k2_numbers) & v1_comseq_3(k24_valued_1(B,A)) ) ) )).
fof(fc12_dickson,axiom,( ~ v2_struct_0(k11_dickson) & v3_dickson(k11_dickson) )).
fof(fc12_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k10_funcsdom(k2_finseq_1(A))) & v13_algstr_0(k10_funcsdom(k2_finseq_1(A))) & v2_monoid_0(k10_funcsdom(k2_finseq_1(A))) & v1_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v2_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v3_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v4_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v5_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v6_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v7_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v8_rlvect_1(k10_funcsdom(k2_finseq_1(A))) ) ) )).
fof(fc12_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k50_valued_1(B,C)) & v1_funct_1(k50_valued_1(B,C)) & v3_card_1(k50_valued_1(B,C),A) ) ) )).
fof(fc12_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( v4_relat_1(k9_funct_7(k6_partfun1(A),B,C),A) & v5_relat_1(k9_funct_7(k6_partfun1(A),B,C),A) & v2_funct_1(k9_funct_7(k6_partfun1(A),B,C)) ) ) )).
fof(fc12_facirc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xtuple_0(A) & ~ v1_xtuple_0(B) ) => v2_facirc_1(k10_finseq_1(A,B)) ) )).
fof(fc12_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v2_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k24_valued_1(A,B)) & v2_fcont_1(k24_valued_1(A,B)) ) ) )).
fof(fc12_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v18_lattices(C,A) & v21_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v18_lattices(k8_filter_2(A,B,C),A) & v21_lattices(k8_filter_2(A,B,C),A) ) ) )).
fof(fc12_finseq_1,axiom,( ! [A] : ~ v1_xboole_0(k13_finseq_1(A)) )).
fof(fc12_finset_1,axiom,( ! [A] : ! [B] : ( v1_finset_1(A) => v1_finset_1(k4_xboole_0(A,B)) ) )).
fof(fc12_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v14_fomodel1(B,k5_numbers,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel1(k1_funct_1(k22_fomodel1(A),B),A) ) )).
fof(fc12_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_relat_1(k5_relat_1(C,k37_fomodel1(A))) & v1_funct_1(k5_relat_1(C,k37_fomodel1(A))) & v1_fomodel2(k5_relat_1(C,k37_fomodel1(A)),A,B) ) ) )).
fof(fc12_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => v3_relat_2(k9_fomodel3(A,B,C)) ) )).
fof(fc12_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B,C),D),A) ) )).
fof(fc12_funcop_1,axiom,( ! [A] : ! [B] : v2_funct_1(k17_funcop_1(A,B)) )).
fof(fc12_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) => v1_zfmisc_1(k10_xtuple_0(A)) ) )).
fof(fc12_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => v4_relat_1(k4_funct_4(B,C,D,E),A) ) )).
fof(fc12_funct_7,axiom,( ! [A] : ! [B] : ( v1_relat_1(k10_funct_7(A,B)) & v1_funct_1(k10_funct_7(A,B)) ) )).
fof(fc12_funct_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_funct_9(A) ) => ( v1_relat_1(k39_valued_1(A)) & v1_funct_1(k39_valued_1(A)) & v2_funct_9(k39_valued_1(A)) ) ) )).
fof(fc12_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & m1_altcat_2(B,A) ) => ( v8_functor0(k10_functor0(A,B),B,A) & v9_functor0(k10_functor0(A,B),B,A) ) ) )).
fof(fc12_gate_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k5_gate_1(A,B)) ) )).
fof(fc12_gaussint,axiom,( ~ v2_struct_0(k6_gaussint) & v13_algstr_0(k6_gaussint) & v36_algstr_0(k6_gaussint) & v2_rlvect_1(k6_gaussint) & v3_rlvect_1(k6_gaussint) & v4_rlvect_1(k6_gaussint) & v3_group_1(k6_gaussint) & v4_vectsp_1(k6_gaussint) & v5_vectsp_1(k6_gaussint) )).
fof(fc12_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v2_glib_001(k8_glib_001(A,B,C,D),A) ) )).
fof(fc12_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ~ v1_xboole_0(k9_graph_3(A)) ) )).
fof(fc12_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => v3_grcat_1(k17_grcat_1(A)) ) )).
fof(fc12_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) ) => v4_relat_1(k10_finseq_1(A,B),k2_tarski(1,2)) ) )).
fof(fc12_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k8_hahnban1(A,B)) & v4_rlvect_1(k8_hahnban1(A,B)) & v7_vectsp_1(k8_hahnban1(A,B),A) ) ) )).
fof(fc12_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) ) => ( v1_funct_1(k1_bilinear(k1_complfld,A,B)) & v1_funct_2(k1_bilinear(k1_complfld,A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v2_hermitan(k1_bilinear(k1_complfld,A,B),A,B) ) ) )).
fof(fc12_hilbert3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => v1_hilbert3(k3_hilbert1(k4_hilbert1(A,B),B)) ) )).
fof(fc12_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_partfun1(k7_hilbert4(A),k4_ordinal1) ) )).
fof(fc12_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & l2_algstr_0(A) & v1_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_ideal_1(k11_ideal_1(A,B,C),A) ) )).
fof(fc12_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) => ( v1_relat_1(k1_xtuple_0(C)) & v4_relat_1(k1_xtuple_0(C),A) & v1_funct_1(k1_xtuple_0(C)) & v1_partfun1(k1_xtuple_0(C),A) ) ) )).
fof(fc12_jordan,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & v1_xreal_0(B) ) => v1_borsuk_1(k2_brouwer(2,A,B),k15_euclid(2)) ) )).
fof(fc12_kurato_1,axiom,( v1_tops_2(k4_kurato_1(k3_topmetr,k6_kurato_1),k3_topmetr) )).
fof(fc12_lukasi_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,B,k6_cqc_lang(A,k6_cqc_lang(A,B))),A) ) )).
fof(fc12_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) & v3_valued_0(D) ) => v3_card_1(k1_funct_1(k3_matrtop1(A,B,C),D),B) ) )).
fof(fc12_mazurulm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_mazurulm(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v3_mazurulm(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k3_relat_1(B,C)) & v1_funct_2(k3_relat_1(B,C),u1_struct_0(A),u1_struct_0(A)) & v3_mazurulm(k3_relat_1(B,C),A,A) ) ) )).
fof(fc12_member_1,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_membered(k7_member_1(A)) & v1_xboole_0(k7_member_1(A)) ) ) )).
fof(fc12_membered,axiom,( ! [A] : ( v7_ordinal1(A) => v6_membered(k1_tarski(A)) ) )).
fof(fc12_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v5_memstr_0(D,A,B,C) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v4_memstr_0(E,A,B) ) => ( v1_relat_1(k1_funct_4(D,E)) & v1_funct_1(k1_funct_4(D,E)) & v5_memstr_0(k1_funct_4(D,E),A,B,C) ) ) )).
fof(fc12_mfold_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_mfold_0(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v1_mfold_0(k2_borsuk_1(A,B)) ) ) )).
fof(fc12_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ( ~ v2_struct_0(k48_modelc_1(A,B,C)) & v10_modelc_1(k48_modelc_1(A,B,C)) ) ) )).
fof(fc12_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ~ v1_xboole_0(k5_moebius2(A)) ) )).
fof(fc12_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v13_pencil_1(B) ) => v1_zfmisc_1(k1_funct_1(B,C)) ) )).
fof(fc12_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) => ( v1_relat_1(k1_mboolean(A,B)) & v4_relat_1(k1_mboolean(A,B),A) & v1_funct_1(k1_mboolean(A,B)) & v1_partfun1(k1_mboolean(A,B),A) & v2_finset_1(k1_mboolean(A,B)) ) ) )).
fof(fc12_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k17_msualg_2(A,B)) & v3_lattices(k17_msualg_2(A,B)) & v10_lattices(k17_msualg_2(A,B)) & v15_lattices(k17_msualg_2(A,B)) ) ) )).
fof(fc12_mycielsk,axiom,( ! [A] : ( ( v1_necklace(A) & v2_mycielsk(A) & l1_orders_2(A) ) => ( v1_orders_2(k3_necklace(A)) & v1_mycielsk(k3_necklace(A)) ) ) )).
fof(fc12_nat_1,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) ) => v1_setfam_1(k2_tarski(A,B)) ) )).
fof(fc12_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) ) => ( v1_relat_1(k6_nat_3(A,B,C)) & v4_relat_1(k6_nat_3(A,B,C),A) & v1_funct_1(k6_nat_3(A,B,C)) & v1_partfun1(k6_nat_3(A,B,C),A) & v4_valued_0(k6_nat_3(A,B,C)) ) ) )).
fof(fc12_nat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_nat_6(B,A) & m1_nat_6(C,B) ) => v7_ordinal1(k7_xcmplx_0(A,C)) ) )).
fof(fc12_neckla_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_neckla_3(A,B)) ) )).
fof(fc12_newton,axiom,( ~ v1_xboole_0(k8_newton) )).
fof(fc12_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v1_normsp_3(k2_struct_0(A),A) ) )).
fof(fc12_numpoly1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_ec_pf_2(A,4) & ~ v8_ordinal1(B) & v2_numpoly1(B,A) ) => ( v7_ordinal1(k3_numpoly1(A,B)) & v1_xreal_0(k3_numpoly1(A,B)) ) ) )).
fof(fc12_oposet_1,axiom,( v3_qmax_1(k1_oposet_1) & v7_oposet_1(k1_oposet_1) )).
fof(fc12_ordinal1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v9_ordinal1(A) & v1_relat_1(B) ) => ( v1_relat_1(k3_relat_1(B,A)) & v9_ordinal1(k3_relat_1(B,A)) ) ) )).
fof(fc12_ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_ordinal6(A) & v1_ordinal6(B) ) => v1_ordinal6(k2_xboole_0(A,B)) ) )).
fof(fc12_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v3_partfun3(k1_valued_1(B,C)) ) ) )).
fof(fc12_pcs_0,axiom,( ! [A] : ( ( v3_pcs_0(A) & l1_pcs_0(A) ) => v1_partfun1(u1_pcs_0(A),u1_struct_0(A)) ) )).
fof(fc12_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v4_algstr_1(k13_polynom3(A)) ) ) )).
fof(fc12_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v3_group_1(k12_polynom1(A,B)) ) ) )).
fof(fc12_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v13_algstr_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) ) ) )).
fof(fc12_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(k1_card_3(A)) & v1_funct_1(k1_card_3(A)) & v1_xboole_0(k1_card_3(A)) & v1_card_3(k1_card_3(A)) ) ) )).
fof(fc12_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v6_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & v6_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc12_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_quaterni(B) ) => v1_quaterni(k20_quaterni(A,B)) ) )).
fof(fc12_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v7_ordinal1(k2_hurwitz(A,B)) & v1_int_1(k2_hurwitz(A,B)) ) ) )).
fof(fc12_rcomp_3,axiom,( ! [A] : ! [B] : ( ( v3_topmetr(A) & l1_pre_topc(A) & v6_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v2_topalg_2(k1_pre_topc(A,B)) ) ) )).
fof(fc12_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_relat_1(B) ) => ( v1_xboole_0(k3_relat_1(A,B)) & v1_relat_1(k3_relat_1(A,B)) ) ) )).
fof(fc12_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_relat_2(A) & v1_relat_1(B) & v3_relat_2(B) ) => v3_relat_2(k4_xboole_0(A,B)) ) )).
fof(fc12_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) & v2_seq_2(k54_valued_1(A)) ) ) )).
fof(fc12_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v36_algstr_0(k2_ring_1(A,B)) & v3_ring_2(k2_ring_1(A,B),A) ) ) )).
fof(fc12_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_convex1(k2_pre_topc(A,B),A) ) )).
fof(fc12_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ( v7_lattices(k8_robbins1(A)) & v8_lattices(k8_robbins1(A)) & v9_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A)) ) ) )).
fof(fc12_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k3_roughs_1(A,B),A) ) )).
fof(fc12_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_valued_0(k11_finseq_1(A,B,C)) ) )).
fof(fc12_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => v1_xboole_0(k5_rvsum_3(A)) ) )).
fof(fc12_scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(B) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k2_scmfsa8b(C,A,B)) & v1_relat_1(k2_scmfsa8b(C,A,B)) & v4_relat_1(k2_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa8b(C,A,B)) & v1_finset_1(k2_scmfsa8b(C,A,B)) & v1_afinsq_1(k2_scmfsa8b(C,A,B)) & v1_scm_halt(k2_scmfsa8b(C,A,B)) ) ) )).
fof(fc12_scmfsa10,axiom,( ! [A] : ( v7_ordinal1(A) => v3_card_1(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k11_scmfsa_2(A)),1) ) )).
fof(fc12_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_scmfsa6c(k16_scmfsa_2(B,A)) ) )).
fof(fc12_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k4_scmfsa8b(C,D,A,B)) & v1_relat_1(k4_scmfsa8b(C,D,A,B)) & v4_relat_1(k4_scmfsa8b(C,D,A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa8b(C,D,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa8b(C,D,A,B)) & v1_finset_1(k4_scmfsa8b(C,D,A,B)) & v1_afinsq_1(k4_scmfsa8b(C,D,A,B)) & v6_amistd_1(k4_scmfsa8b(C,D,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc12_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => ~ v2_extpro_1(k12_scmfsa_2(B,A),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc12_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & m1_finseq_1(B,k4_numbers) ) => v5_funct_1(k17_funcop_1(A,B),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) )).
fof(fc12_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) & v4_scmpds_4(B) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k3_scmpds_4(A,B)) & v4_relat_1(k3_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k3_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_4(A,B)) & v1_funct_1(k3_scmpds_4(A,B)) & v1_finset_1(k3_scmpds_4(A,B)) & v1_afinsq_1(k3_scmpds_4(A,B)) & v3_scmpds_4(k3_scmpds_4(A,B)) ) ) )).
fof(fc12_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v6_compos_0(k15_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc12_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( v1_relat_1(k3_scmpds_6(C,D,A,B)) & v4_relat_1(k3_scmpds_6(C,D,A,B),k4_ordinal1) & v5_relat_1(k3_scmpds_6(C,D,A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_6(C,D,A,B)) & v1_funct_1(k3_scmpds_6(C,D,A,B)) & v1_finset_1(k3_scmpds_6(C,D,A,B)) & v1_afinsq_1(k3_scmpds_6(C,D,A,B)) & v2_compos_1(k3_scmpds_6(C,D,A,B),k1_scmpds_2) ) ) )).
fof(fc12_scmring3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => v3_card_1(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k8_scmring2(A,B)),1) ) )).
fof(fc12_scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => v1_finset_1(k7_scmyciel(A,B)) ) )).
fof(fc12_setfam_1,axiom,( ! [A] : ! [B] : ( ( v1_setfam_1(A) & v1_setfam_1(B) ) => v1_setfam_1(k2_xboole_0(A,B)) ) )).
fof(fc12_sfmastr1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k15_scmfsa_2(C,B,A)) ) )).
fof(fc12_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_setfam_1(B) & v1_classes1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(C) & v1_card_1(C) ) => ~ v2_setfam_1(k3_simplex0(A,B,C)) ) )).
fof(fc12_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc12_sincos10,axiom,( v1_funct_1(k4_sincos10) & v2_funct_1(k4_sincos10) )).
fof(fc12_sppol_2,axiom,( ! [A] : ( ( v4_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v4_topreal1(k3_finseq_5(A)) ) )).
fof(fc12_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ v1_xboole_0(k2_goboard9(A)) ) )).
fof(fc12_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( ~ v2_struct_0(k14_stacks_1(A)) & ~ v11_struct_0(k14_stacks_1(A)) & v1_stacks_1(k14_stacks_1(A)) ) ) )).
fof(fc12_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => ~ v1_subset_1(k2_struct_0(A),u1_struct_0(A)) ) )).
fof(fc12_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => ~ v1_xboole_0(k4_zfmisc_1(A,B,C,D)) ) )).
fof(fc12_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v1_subset_1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_subset_1(k3_tex_4(A,B),u1_struct_0(A)) ) )).
fof(fc12_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v6_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) ) => ( v1_xreal_0(k1_xxreal_2(k9_xtuple_0(B))) & v1_xxreal_0(k1_xxreal_2(k9_xtuple_0(B))) ) ) )).
fof(fc12_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_topgrp_1(A,B)) & v1_funct_2(k1_topgrp_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(k1_topgrp_1(A,B),A,A) ) ) )).
fof(fc12_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v1_convex1(k2_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc12_topreala,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k1_xxreal_1(A,B)) ) )).
fof(fc12_toprealb,axiom,( ! [A] : ( ( v2_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v4_pre_topc(k5_toprealb(A),k2_topalg_2) ) )).
fof(fc12_toprealc,axiom,( ! [A] : ( ( v2_toprealc(A) & l1_struct_0(A) ) => v3_valued_2(u1_struct_0(A)) ) )).
fof(fc12_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => v1_tops_1(k2_struct_0(A),A) ) )).
fof(fc12_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => v5_trees_3(k5_finseq_1(A)) ) )).
fof(fc12_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_valued_0(A) & v1_relat_1(B) & v4_valued_0(B) ) => v4_valued_0(k2_xboole_0(A,B)) ) )).
fof(fc12_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v1_finseq_1(k1_valued_1(A,B)) ) ) )).
fof(fc12_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k11_vectsp10(A,B,C)) & v1_funct_2(k11_vectsp10(A,B,C),u1_struct_0(k6_vectsp10(A,B,k9_vectsp10(A,B,C))),u1_struct_0(A)) & v13_vectsp_1(k11_vectsp10(A,B,C),k6_vectsp10(A,B,k9_vectsp10(A,B,C)),A) & v1_hahnban1(k11_vectsp10(A,B,C),A,k6_vectsp10(A,B,k9_vectsp10(A,B,C))) & ~ v2_vectsp10(k11_vectsp10(A,B,C),A,k6_vectsp10(A,B,k9_vectsp10(A,B,C))) ) ) )).
fof(fc12_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k5_waybel10(A)) & v1_funct_2(k5_waybel10(A),u1_struct_0(k2_waybel10(A)),u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A)))) & v23_waybel_0(k5_waybel10(A),k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A))) ) ) )).
fof(fc12_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => v8_yellow_6(k2_waybel11(A),A) ) )).
fof(fc12_waybel18,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,B))) & v1_lattice3(k4_yellow_1(A,k7_funcop_1(A,B))) & v3_lattice3(k4_yellow_1(A,k7_funcop_1(A,B))) ) ) )).
fof(fc12_waybel23,axiom,( ! [A] : ! [B] : ( ( v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) ) ) )).
fof(fc12_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v1_funct_1(k6_struct_0(A,B,C)) & v1_funct_2(k6_struct_0(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v22_waybel_0(k6_struct_0(A,B,C),A,B) ) ) )).
fof(fc12_waybel25,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k1_waybel25(A))) ) => v4_pre_topc(k5_waybel_0(k1_waybel25(A),B),k1_waybel25(A)) ) )).
fof(fc12_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v12_waybel_0(k5_waybel_0(A,B),A) ) )).
fof(fc12_waybel_2,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_waybel_1(A,B)) & v1_funct_2(k4_waybel_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v22_waybel_0(k4_waybel_1(A,B),A,A) ) ) )).
fof(fc12_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & v2_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => v12_waybel_0(k5_waybel_4(A,B,C),A) ) )).
fof(fc12_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_8(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v3_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc12_waybel_9,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ( v4_orders_2(k2_waybel_9(A)) & v6_waybel_0(k2_waybel_9(A),A) ) ) )).
fof(fc12_xreal_0,axiom,( ! [A] : ! [B] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => v2_xxreal_0(k2_xcmplx_0(B,A)) ) )).
fof(fc12_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v3_membered(k1_xxreal_1(A,B)) ) )).
fof(fc12_xxreal_2,axiom,( v6_xxreal_2(k6_numbers) )).
fof(fc12_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(A,B)) & v3_xxreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc12_yellow10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_8(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_8(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v3_waybel_8(k3_yellow_3(A,B)) ) ) )).
fof(fc12_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v3_orders_2(k5_yellow_1(A,B)) ) ) )).
fof(fc12_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => v12_waybel_0(k2_zfmisc_1(C,D),k3_yellow_3(A,B)) ) )).
fof(fc12_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( ~ v2_struct_0(k2_yellow_6(A,B,C)) & v6_waybel_0(k2_yellow_6(A,B,C),B) ) ) )).
fof(fc12_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ( v1_funct_1(k1_yellow_7(A)) & v2_funct_1(k1_yellow_7(A)) & v1_funct_2(k1_yellow_7(A),u1_struct_0(A),u1_struct_0(k7_lattice3(A))) ) ) )).
fof(fc130_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_fomodel0(A) ) => ( v1_relat_1(k2_relat_1(A)) & v1_funct_1(k2_relat_1(A)) ) ) )).
fof(fc130_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v1_partfun1(k45_valued_1(B,C),A) ) ) )).
fof(fc131_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v1_partfun1(k18_valued_1(B,C),A) ) ) )).
fof(fc132_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => v1_xboole_0(k5_xboole_0(k33_fomodel0(k2_funct_1(A)),k33_fomodel0(A))) ) )).
fof(fc132_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => ( v1_relat_1(k50_valued_1(B,C)) & v1_funct_1(k50_valued_1(B,C)) & v1_partfun1(k50_valued_1(B,C),A) ) ) )).
fof(fc133_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_relat_1(k4_relat_1(A)) & v2_abian(k4_relat_1(A)) ) ) )).
fof(fc133_valued_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) ) => ( v1_relat_1(k63_valued_1(B)) & v5_relat_1(k63_valued_1(B),A) & v1_funct_1(k63_valued_1(B)) ) ) )).
fof(fc134_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_abian(A) ) => ~ v1_xboole_0(k9_xtuple_0(A)) ) )).
fof(fc134_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k61_valued_1(A,B)) & v1_funct_1(k61_valued_1(A,B)) & v2_finseq_1(k61_valued_1(A,B)) ) ) )).
fof(fc135_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_abian(A) ) => ~ v1_xboole_0(k32_fomodel0(A)) ) )).
fof(fc136_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v2_abian(A) ) => v1_xboole_0(k32_fomodel0(A)) ) )).
fof(fc137_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v5_fomodel0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v5_fomodel0(k3_relat_1(A,B)) ) ) )).
fof(fc138_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v5_fomodel0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v1_funct_1(k3_relat_1(A,B)) ) ) )).
fof(fc139_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v1_zfmisc_1(C) => ( v1_relat_1(k3_relat_1(k2_zfmisc_1(A,B),k2_zfmisc_1(B,C))) & v1_funct_1(k3_relat_1(k2_zfmisc_1(A,B),k2_zfmisc_1(B,C))) ) ) )).
fof(fc13_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) => v5_abcmiz_1(k30_abcmiz_1(A,k15_abcmiz_1(A),B),A,k28_abcmiz_1(A)) ) )).
fof(fc13_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) & ~ v1_abian(B) ) => ~ v1_abian(k6_xcmplx_0(A,B)) ) )).
fof(fc13_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( v5_ordinal1(k7_afinsq_1(A,B,C)) & v1_finset_1(k7_afinsq_1(A,B,C)) ) )).
fof(fc13_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v1_finset_1(k1_valued_1(A,B)) ) ) )).
fof(fc13_algstr_0,axiom,( ! [A] : ! [B] : ( ( v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v7_struct_0(g3_algstr_0(A,B)) & v15_algstr_0(g3_algstr_0(A,B)) ) ) )).
fof(fc13_algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k12_algstr_4(A)) ) => ( v7_ordinal1(k2_xtuple_0(B)) & ~ v8_ordinal1(k2_xtuple_0(B)) ) ) )).
fof(fc13_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v7_ordinal1(B) ) => v3_card_1(k2_amistd_1(k5_card_1(2),k1_ami_3,k8_ami_3(B,A)),1) ) )).
fof(fc13_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & v15_aofa_000(B,A) & m1_subset_1(B,u1_struct_0(A)) & v15_aofa_000(C,A) & m1_subset_1(C,u1_struct_0(A)) & v15_aofa_000(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => v15_aofa_000(k14_aofa_000(A,B,C,D),A) ) )).
fof(fc13_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_funct_1(B,1)) ) )).
fof(fc13_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_exchsort(B) & v2_exchsort(B,A) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v1_funct_1(k1_funct_7(B,C,D)) & v1_finset_1(k1_funct_7(B,C,D)) & v1_exchsort(k1_funct_7(B,C,D)) & v2_exchsort(k1_funct_7(B,C,D),A) ) ) )).
fof(fc13_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l6_algstr_0(A) & ~ v7_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( ~ v1_zfmisc_1(k9_bilinear(A,B,C,D,E)) & v1_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) ) ) )).
fof(fc13_binop_2,axiom,( v1_funct_1(k15_binop_2) & v1_funct_2(k15_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_setwiseo(k15_binop_2,k3_numbers) )).
fof(fc13_borsuk_5,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k7_xcmplx_0(B,A)) ) )).
fof(fc13_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k6_c0sp2(A)) & v1_rlsub_1(k6_c0sp2(A),k10_funcsdom(u1_struct_0(A))) ) ) )).
fof(fc13_card_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & ~ v1_xboole_0(B) ) => ~ v1_finset_1(k2_zfmisc_1(A,B)) ) )).
fof(fc13_card_3,axiom,( ! [A] : ! [B] : ( ~ v1_finset_1(A) => ~ v1_finset_1(k2_funcop_1(A,B)) ) )).
fof(fc13_cayldick,axiom,( v6_algstr_0(k3_cayldick) & v13_algstr_0(k3_cayldick) & v1_cayldick(k3_cayldick) )).
fof(fc13_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k6_cc0sp2(A)) & v6_clvect_1(k6_cc0sp2(A),k6_cfuncdom(u1_struct_0(A))) ) ) )).
fof(fc13_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( v3_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & v4_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & v4_circcomb(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) ) ) )).
fof(fc13_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v3_mssubfam(C,u1_struct_0(A),u3_msualg_1(A,B)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( v5_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) & v8_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc13_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),B))) ) => ( v4_msualg_1(g1_closure2(A,B,C),A) & v11_closure2(g1_closure2(A,B,C),A) ) ) )).
fof(fc13_coh_sp,axiom,( ! [A] : ( ~ v2_struct_0(k28_coh_sp(A)) & ~ v11_struct_0(k28_coh_sp(A)) & v1_cat_1(k28_coh_sp(A)) & v2_cat_1(k28_coh_sp(A)) & v3_cat_1(k28_coh_sp(A)) & v4_cat_1(k28_coh_sp(A)) & v5_cat_1(k28_coh_sp(A)) ) )).
fof(fc13_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ( ~ v1_xboole_0(k13_cohsp_1(A)) & v1_classes1(k13_cohsp_1(A)) & v1_coh_sp(k13_cohsp_1(A)) ) ) )).
fof(fc13_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => ( v1_relat_1(k5_xtuple_0(B)) & v5_relat_1(k5_xtuple_0(B),k4_ordinal1) & v1_funct_1(k5_xtuple_0(B)) ) ) )).
fof(fc13_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & m1_subset_1(B,u1_compos_1(A)) ) => ( ~ v1_xboole_0(k11_compos_1(A,B)) & v1_relat_1(k11_compos_1(A,B)) & v4_relat_1(k11_compos_1(A,B),k4_ordinal1) & v5_relat_1(k11_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k11_compos_1(A,B)) & v1_finset_1(k11_compos_1(A,B)) & v1_afinsq_1(k11_compos_1(A,B)) ) ) )).
fof(fc13_comput_1,axiom,( v1_relat_1(k4_comput_1(1,1)) & v4_relat_1(k4_comput_1(1,1),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k4_comput_1(1,1)) & v4_valued_0(k4_comput_1(1,1)) & v2_margrel1(k4_comput_1(1,1)) & v7_comput_1(k4_comput_1(1,1)) )).
fof(fc13_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v7_ordinal1(B) ) => ( v1_funct_1(k6_nat_1(A,B)) & v1_funct_2(k6_nat_1(A,B),k4_ordinal1,k2_numbers) & v1_comseq_3(k6_nat_1(A,B)) ) ) )).
fof(fc13_dickson,axiom,( ~ v2_struct_0(k11_dickson) & v5_orders_2(k11_dickson) )).
fof(fc13_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(k8_euclid_7(A)) ) )).
fof(fc13_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k7_valued_1(C,A)) & v1_funct_1(k7_valued_1(C,A)) & v3_card_1(k7_valued_1(C,A),B) ) ) )).
fof(fc13_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( v1_partfun1(k9_funct_7(k6_partfun1(A),B,C),A) & v2_funct_2(k9_funct_7(k6_partfun1(A),B,C),A) ) ) )).
fof(fc13_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xtuple_0(A) & ~ v1_xtuple_0(B) & ~ v1_xtuple_0(C) ) => v2_facirc_1(k11_finseq_1(A,B,C)) ) )).
fof(fc13_fcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k54_valued_1(A)) & v2_fcont_1(k54_valued_1(A)) ) ) )).
fof(fc13_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( v3_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) ) ) )).
fof(fc13_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_finseq_1(k5_relat_1(A,B)) ) ) )).
fof(fc13_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B) ) => v1_finset_1(k7_relat_1(A,B)) ) )).
fof(fc13_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v8_fomodel1(k1_funct_1(k22_fomodel1(A),B),A) ) )).
fof(fc13_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_relat_1(k5_relat_1(C,k37_fomodel1(A))) & v4_relat_1(k5_relat_1(C,k37_fomodel1(A)),k37_fomodel1(A)) & v1_partfun1(k5_relat_1(C,k37_fomodel1(A)),k37_fomodel1(A)) ) ) )).
fof(fc13_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => ( v1_partfun1(k9_fomodel3(A,B,C),k4_finseq_2(C,A)) & v3_relat_2(k9_fomodel3(A,B,C)) ) ) )).
fof(fc13_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k30_fomodel2(A))) ) => v1_fomodel4(k4_tarski(k2_xboole_0(D,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B)),C),A) ) )).
fof(fc13_funcop_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_funcop_1(k5_relat_1(A,B)) ) ) )).
fof(fc13_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) ) => ~ v1_zfmisc_1(k10_xtuple_0(A)) ) )).
fof(fc13_funct_4,axiom,( ! [A] : ! [B] : v1_zfmisc_1(k17_funcop_1(A,B)) )).
fof(fc13_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(k12_funct_7(A,B,C)) & v1_funct_1(k12_funct_7(A,B,C)) ) )).
fof(fc13_funct_9,axiom,( v1_funct_1(k16_sin_cos) & v1_funct_2(k16_sin_cos,k1_numbers,k1_numbers) & v2_funct_9(k16_sin_cos) )).
fof(fc13_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ( v8_functor0(k11_functor0(A),A,A) & v9_functor0(k11_functor0(A),A,A) & v10_functor0(k11_functor0(A),A,A) ) ) )).
fof(fc13_gate_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => ~ v1_xboole_0(k6_gate_1(A,B)) ) )).
fof(fc13_gaussint,axiom,( ~ v2_struct_0(k6_gaussint) & v36_algstr_0(k6_gaussint) & v1_vectsp_2(k6_gaussint) )).
fof(fc13_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v3_glib_001(k8_glib_001(A,B,C,D),A) ) )).
fof(fc13_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ~ v2_struct_0(k25_grcat_1(A)) & ~ v11_struct_0(k25_grcat_1(A)) & v1_cat_1(k25_grcat_1(A)) ) ) )).
fof(fc13_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) ) => ( v1_partfun1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_group_7(k10_finseq_1(A,B)) ) ) )).
fof(fc13_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k8_hahnban1(A,B)) & v13_algstr_0(k8_hahnban1(A,B)) & v7_vectsp_1(k8_hahnban1(A,B),A) ) ) )).
fof(fc13_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ( v1_funct_1(k1_bilinear(k1_complfld,A,A)) & v1_funct_2(k1_bilinear(k1_complfld,A,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v3_hermitan(k1_bilinear(k1_complfld,A,A),A) ) ) )).
fof(fc13_hilbert3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => v1_hilbert3(k3_hilbert1(A,k3_hilbert1(B,k4_hilbert1(A,B)))) ) )).
fof(fc13_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v4_relat_1(k6_hilbert4(A),k4_ordinal1) ) )).
fof(fc13_hurwitz2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & v6_hurwitz2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k1_hurwitz2(k1_complfld,A)) & v1_funct_2(k1_hurwitz2(k1_complfld,A),k4_ordinal1,u1_struct_0(k1_complfld)) & v6_hurwitz2(k1_hurwitz2(k1_complfld,A)) ) ) )).
fof(fc13_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_vectsp_1(A) & l6_algstr_0(A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_ideal_1(k11_ideal_1(A,B,C),A) ) )).
fof(fc13_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) => ( v1_relat_1(k2_xtuple_0(C)) & v4_relat_1(k2_xtuple_0(C),B) & v1_funct_1(k2_xtuple_0(C)) & v1_partfun1(k2_xtuple_0(C),B) ) ) )).
fof(fc13_jordan,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & v1_xreal_0(B) ) => v1_compts_1(k2_brouwer(2,A,B)) ) )).
fof(fc13_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_finset_1(k3_kurato_1(A,B)) ) )).
fof(fc13_lukasi_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k6_cqc_lang(A,k6_cqc_lang(A,B)),B),A) ) )).
fof(fc13_matrtop1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(k2_vectsp_1),A,A) & v1_matrix_6(B,A,k2_vectsp_1) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v1_funct_1(k3_matrtop1(A,A,B)) & v1_funct_2(k3_matrtop1(A,A,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_tops_2(k3_matrtop1(A,A,B),k15_euclid(A),k15_euclid(A)) ) ) )).
fof(fc13_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_mazurulm(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B)) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),u1_struct_0(A),u1_struct_0(A)) & v3_mazurulm(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),A,A) ) ) )).
fof(fc13_member_1,axiom,( ! [A] : ( ( v1_membered(A) & ~ v1_xboole_0(A) ) => ( v1_membered(k7_member_1(A)) & ~ v1_xboole_0(k7_member_1(A)) ) ) )).
fof(fc13_membered,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => v1_membered(k2_tarski(A,B)) ) )).
fof(fc13_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( v1_relat_1(k8_memstr_0(A,B,C)) & v4_relat_1(k8_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k8_memstr_0(A,B,C)) & v5_funct_1(k8_memstr_0(A,B,C),k2_memstr_0(A,B)) & v5_memstr_0(k8_memstr_0(A,B,C),A,B,k5_numbers) ) ) )).
fof(fc13_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k3_mod_4(A,B)) & v2_vectsp_2(k3_mod_4(A,B),k2_mod_4(A)) ) ) )).
fof(fc13_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => v1_finset_1(k6_moebius2(A)) ) )).
fof(fc13_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v3_msafree4(B,A) & l3_msualg_1(B,A) ) => ( v1_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) & v13_pencil_1(u3_msualg_1(A,B)) ) ) )).
fof(fc13_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) ) => ~ v5_abcmiz_1(k6_msafree5(A,B,C,D),A,B) ) )).
fof(fc13_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_necklace(k5_mycielsk(A)) & v3_necklace(k5_mycielsk(A)) ) ) )).
fof(fc13_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) ) => v1_setfam_1(k1_enumset1(A,B,C)) ) )).
fof(fc13_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) & v2_pre_poly(C) ) => ( v1_relat_1(k6_nat_3(A,B,C)) & v4_relat_1(k6_nat_3(A,B,C),A) & v1_funct_1(k6_nat_3(A,B,C)) & v1_partfun1(k6_nat_3(A,B,C),A) & v2_pre_poly(k6_nat_3(A,B,C)) ) ) )).
fof(fc13_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => v2_nat_6(k4_pepin(A)) ) )).
fof(fc13_newton,axiom,( v1_xboole_0(k9_newton(2)) )).
fof(fc13_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ v1_xboole_0(k8_relat_1(C,k6_domain_1(u1_struct_0(B),k4_struct_0(B)))) ) )).
fof(fc13_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v7_ordinal1(k2_numpoly1(3,A)) & v1_int_1(k2_numpoly1(3,A)) ) ) )).
fof(fc13_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A)) ) )).
fof(fc13_ordinal6,axiom,( ! [A] : ! [B] : ( v1_ordinal6(A) => v1_ordinal6(k4_xboole_0(A,B)) ) )).
fof(fc13_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v4_partfun3(k1_valued_1(B,C)) ) ) )).
fof(fc13_pcs_0,axiom,( ! [A] : ( ( v4_pcs_0(A) & l1_pcs_0(A) ) => v1_relat_2(u1_pcs_0(A)) ) )).
fof(fc13_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v1_vectsp_1(k12_polynom1(A,B)) & v4_vectsp_1(k12_polynom1(A,B)) ) ) )).
fof(fc13_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v5_group_1(k13_polynom3(A)) ) ) )).
fof(fc13_pre_poly,axiom,( ! [A] : v1_pre_poly(k6_finseq_1(A)) )).
fof(fc13_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v7_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v7_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & v7_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc13_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_quaterni(B) ) => v1_quaterni(k19_quaterni(A,B)) ) )).
fof(fc13_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ v9_struct_0(k2_ratfunc1(A,B),A) ) )).
fof(fc13_rcomp_3,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v6_xxreal_2(k5_toprealb(A)) ) )).
fof(fc13_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_relat_1(B) ) => ( v1_xboole_0(k3_relat_1(B,A)) & v1_relat_1(k3_relat_1(B,A)) ) ) )).
fof(fc13_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_2(A) ) => ( v1_relat_1(k2_relat_1(A)) & v5_relat_2(k2_relat_1(A)) ) ) )).
fof(fc13_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_comseq_2(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) & v1_comseq_2(k54_valued_1(A)) ) ) )).
fof(fc13_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v1_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ v1_xboole_0(k8_vectsp10(A,B,C)) ) )).
fof(fc13_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_convex1(k1_tops_1(A,B),A) ) )).
fof(fc13_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_robbins1(A) & l2_robbins1(A) ) => ( v4_robbins1(k8_robbins1(A)) & v6_robbins1(k8_robbins1(A)) ) ) )).
fof(fc13_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k4_roughs_1(A,B),A) ) )).
fof(fc13_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_valued_0(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) ) ) )).
fof(fc13_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => v1_xboole_0(k6_rvsum_3(A)) ) )).
fof(fc13_scm_halt,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v1_scmfsa7b(B) ) => ( ~ v1_xboole_0(k1_scmfsa8c(A,B)) & v1_relat_1(k1_scmfsa8c(A,B)) & v4_relat_1(k1_scmfsa8c(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa8c(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8c(A,B)) & v1_finset_1(k1_scmfsa8c(A,B)) & v1_afinsq_1(k1_scmfsa8c(A,B)) & v1_scmfsa7b(k1_scmfsa8c(A,B)) ) ) )).
fof(fc13_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => v3_card_1(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k12_scmfsa_2(B,A)),1) ) )).
fof(fc13_scmfsa6c,axiom,( ! [A] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k11_compos_1(k1_scmfsa_2,A)) & v4_relat_1(k11_compos_1(k1_scmfsa_2,A),k4_ordinal1) & v5_relat_1(k11_compos_1(k1_scmfsa_2,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k11_compos_1(k1_scmfsa_2,A)) & v1_finset_1(k11_compos_1(k1_scmfsa_2,A)) & v5_amistd_1(k11_compos_1(k1_scmfsa_2,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc13_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k3_scmfsa8b(C,D,A,B)) & v1_relat_1(k3_scmfsa8b(C,D,A,B)) & v4_relat_1(k3_scmfsa8b(C,D,A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa8b(C,D,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa8b(C,D,A,B)) & v1_finset_1(k3_scmfsa8b(C,D,A,B)) & v1_afinsq_1(k3_scmfsa8b(C,D,A,B)) & v5_amistd_1(k3_scmfsa8b(C,D,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc13_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => ~ v2_extpro_1(k13_scmfsa_2(B,A),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc13_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v4_scmpds_4(A) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v4_scmpds_4(B) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k4_scmpds_4(A,B)) & v4_relat_1(k4_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k4_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_4(A,B)) & v1_funct_1(k4_scmpds_4(A,B)) & v1_finset_1(k4_scmpds_4(A,B)) & v1_afinsq_1(k4_scmpds_4(A,B)) & v3_scmpds_4(k4_scmpds_4(A,B)) ) ) )).
fof(fc13_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v6_compos_0(k16_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc13_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k7_scmpds_6(B,C,A)) & v4_relat_1(k7_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k7_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k7_scmpds_6(B,C,A)) & v1_funct_1(k7_scmpds_6(B,C,A)) & v1_finset_1(k7_scmpds_6(B,C,A)) & v1_afinsq_1(k7_scmpds_6(B,C,A)) & v2_scmpds_4(k7_scmpds_6(B,C,A)) & v3_scmpds_4(k7_scmpds_6(B,C,A)) ) ) )).
fof(fc13_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v7_ordinal1(C) ) => v3_card_1(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k9_scmring2(A,C,B)),1) ) )).
fof(fc13_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & v1_finset_1(B) ) => v1_finset_1(k7_scmyciel(A,B)) ) )).
fof(fc13_setfam_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) ) => ~ v1_xboole_0(k3_tarski(A)) ) )).
fof(fc13_sfmastr1,axiom,( ! [A] : ( ( v1_sfmastr1(A) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k11_compos_1(k1_scmfsa_2,A)) & v4_relat_1(k11_compos_1(k1_scmfsa_2,A),k4_ordinal1) & v5_relat_1(k11_compos_1(k1_scmfsa_2,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k11_compos_1(k1_scmfsa_2,A)) & v1_finset_1(k11_compos_1(k1_scmfsa_2,A)) & v1_scmfsa7b(k11_compos_1(k1_scmfsa_2,A)) ) ) )).
fof(fc13_simplex0,axiom,( ! [A] : ( ( ~ v4_simplex0(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k4_simplex0(A)) ) )).
fof(fc13_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) & v2_funct_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(fc13_sincos10,axiom,( v1_relat_1(k5_relat_1(k1_fdiff_9,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4)))) & v2_funct_1(k5_relat_1(k1_fdiff_9,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(fc13_sppol_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => v2_compts_1(k1_rltopsp1(k15_euclid(A),B,C),k15_euclid(A)) ) )).
fof(fc13_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ v1_xboole_0(k3_goboard9(A)) ) )).
fof(fc13_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v1_stacks_1(k14_stacks_1(A)) & v2_stacks_1(k14_stacks_1(A)) ) ) )).
fof(fc13_struct_0,axiom,( ! [A] : ( ( v11_struct_0(A) & l5_struct_0(A) ) => v1_xboole_0(u4_struct_0(A)) ) )).
fof(fc13_subset_1,axiom,( ! [A] : v1_xboole_0(k1_subset_1(A)) )).
fof(fc13_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l1_pre_topc(A) & ~ v1_zfmisc_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_zfmisc_1(k3_tex_4(A,B)) ) )).
fof(fc13_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k2_topgrp_1(A,B)) & v1_funct_2(k2_topgrp_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(k2_topgrp_1(A,B),A,A) ) ) )).
fof(fc13_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k6_struct_0(k15_euclid(A),k15_euclid(A),k4_struct_0(k15_euclid(A)))) & v1_funct_2(k6_struct_0(k15_euclid(A),k15_euclid(A),k4_struct_0(k15_euclid(A))),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v13_vectsp_1(k6_struct_0(k15_euclid(A),k15_euclid(A),k4_struct_0(k15_euclid(A))),k15_euclid(A),k15_euclid(A)) & v1_topreal9(k6_struct_0(k15_euclid(A),k15_euclid(A),k4_struct_0(k15_euclid(A))),A) ) ) )).
fof(fc13_topreala,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k4_xxreal_1(A,B)) ) )).
fof(fc13_toprealb,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v1_pre_topc(k1_pre_topc(k2_topalg_2,k5_toprealb(A))) & v1_tsep_1(k1_pre_topc(k2_topalg_2,k5_toprealb(A)),k2_topalg_2) ) ) )).
fof(fc13_toprealc,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_xboole_0(k2_toprealc(A)) & v1_valued_2(k2_toprealc(A)) ) ) )).
fof(fc13_tops_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & v2_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k1_tops_1(A,B)) ) )).
fof(fc13_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => v5_trees_3(k10_finseq_1(A,B)) ) )).
fof(fc13_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_valued_0(A) & v1_relat_1(B) ) => v1_valued_0(k3_xboole_0(A,B)) ) )).
fof(fc13_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v1_funct_1(k7_valued_1(A,B)) & v1_valued_0(k7_valued_1(A,B)) ) ) )).
fof(fc13_waybel10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & v4_waybel_0(B,A) & m1_yellow_0(B,A) ) => ( v1_funct_1(k6_waybel10(A,B)) & v1_funct_2(k6_waybel10(A,B),u1_struct_0(A),u1_struct_0(A)) & v22_waybel_0(k6_waybel10(A,B),A,A) ) ) )).
fof(fc13_waybel18,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v2_waybel_8(B) & l1_orders_2(B) ) => ( v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,B))) & v2_waybel_8(k4_yellow_1(A,k7_funcop_1(A,B))) ) ) )).
fof(fc13_waybel23,axiom,( ! [A] : ! [B] : ( ( v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v5_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) ) ) )).
fof(fc13_waybel24,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( v1_orders_2(k3_waybel24(A,B)) & v3_lattice3(k3_waybel24(A,B)) ) ) )).
fof(fc13_waybel25,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v10_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) & m1_subset_1(D,u1_struct_0(A)) ) => ( ~ v2_struct_0(k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D)) & v4_orders_2(k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D)) & v6_waybel_0(k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D),k1_waybel25(B)) & v7_waybel_0(k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D)) & v10_waybel_0(k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D),k1_waybel25(B)) ) ) )).
fof(fc13_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k10_waybel34(A)) & v2_altcat_1(k10_waybel34(A)) & v6_altcat_1(k10_waybel34(A)) & v2_altcat_2(k10_waybel34(A),k8_waybel34(A)) & v3_altcat_2(k10_waybel34(A),k8_waybel34(A)) & v3_yellow21(k10_waybel34(A)) ) ) )).
fof(fc13_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v13_waybel_0(k6_waybel_0(A,B),A) ) )).
fof(fc13_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & v3_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => v1_waybel_0(k5_waybel_4(A,B,C),A) ) )).
fof(fc13_waybel_8,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_yellow_1(A))) => ( v1_waybel_0(k2_waybel_8(k2_yellow_1(A),B),k2_yellow_1(A)) & v12_waybel_0(k2_waybel_8(k2_yellow_1(A),B),k2_yellow_1(A)) ) ) )).
fof(fc13_waybel_9,axiom,( ! [A] : ( ( v1_lattice3(A) & l1_orders_2(A) ) => ( v6_waybel_0(k2_waybel_9(A),A) & v7_waybel_0(k2_waybel_9(A)) ) ) )).
fof(fc13_xreal_0,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => v3_xxreal_0(k2_xcmplx_0(A,B)) ) )).
fof(fc13_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v6_xxreal_2(k1_xxreal_1(A,B)) ) )).
fof(fc13_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(B,A)) & v3_xxreal_0(k1_xxreal_3(B,A)) ) ) )).
fof(fc13_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v13_struct_0(k5_yellow_1(k1_xboole_0,A),1) & v1_orders_2(k5_yellow_1(k1_xboole_0,A)) ) ) )).
fof(fc13_yellow_3,axiom,( ! [A] : ( ( ~ v1_yellow_3(A) & l1_orders_2(A) ) => ~ v1_xboole_0(u1_orders_2(A)) ) )).
fof(fc13_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v6_waybel_0(k2_yellow_6(A,B,C),B) & v7_waybel_0(k2_yellow_6(A,B,C)) ) ) )).
fof(fc13_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ( v1_funct_1(k1_yellow_7(A)) & v1_funct_2(k1_yellow_7(A),u1_struct_0(A),u1_struct_0(k7_lattice3(A))) & v23_waybel_0(k1_yellow_7(A),A,k7_lattice3(A)) ) ) )).
fof(fc14_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) & m1_abcmiz_1(C,A,k12_abcmiz_1(A)) ) => v5_abcmiz_1(k31_abcmiz_1(A,k16_abcmiz_1(A),B,C),A,k28_abcmiz_1(A)) ) )).
fof(fc14_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) & ~ v1_abian(B) ) => ~ v1_abian(k6_xcmplx_0(B,A)) ) )).
fof(fc14_afinsq_1,axiom,( ! [A] : v3_card_1(k3_afinsq_1(A),1) )).
fof(fc14_algstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ~ v7_struct_0(g3_algstr_0(A,B)) & v15_algstr_0(g3_algstr_0(A,B)) ) ) )).
fof(fc14_algstr_4,axiom,( ! [A] : v15_algstr_0(k14_algstr_4(A)) )).
fof(fc14_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v7_ordinal1(B) ) => v3_card_1(k2_amistd_1(k5_card_1(2),k1_ami_3,k9_ami_3(B,A)),1) ) )).
fof(fc14_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & v15_aofa_000(B,A) & m1_subset_1(B,u1_struct_0(A)) & v15_aofa_000(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => v15_aofa_000(k15_aofa_000(A,B,C),A) ) )).
fof(fc14_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_aofa_a00(A) & ~ v2_struct_0(B) & l5_aofa_a00(B) ) => ( ~ v2_struct_0(k35_aofa_a00(A,B)) & v15_aofa_a00(k35_aofa_a00(A,B)) ) ) )).
fof(fc14_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & m1_subset_1(D,A) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v5_relat_1(k1_funct_7(B,C,D),A) & v1_funct_1(k1_funct_7(B,C,D)) ) ) )).
fof(fc14_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v7_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( ~ v1_zfmisc_1(k9_bilinear(A,B,C,D,E)) & v1_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) ) ) )).
fof(fc14_binop_2,axiom,( v1_funct_1(k20_binop_2) & v1_funct_2(k20_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_setwiseo(k20_binop_2,k4_numbers) )).
fof(fc14_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => v3_rcomp_1(k3_xboole_0(A,B)) ) )).
fof(fc14_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k9_c0sp2(A)) & v1_normsp_1(k9_c0sp2(A)) ) ) )).
fof(fc14_card_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & ~ v1_xboole_0(B) ) => ~ v1_finset_1(k2_zfmisc_1(B,A)) ) )).
fof(fc14_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_finset_1(A) ) => ~ v1_finset_1(k1_relat_1(A)) ) )).
fof(fc14_cayldick,axiom,( v30_algstr_0(k3_cayldick) & v33_algstr_0(k3_cayldick) & v4_rlvect_1(k3_cayldick) & v5_rlvect_1(k3_cayldick) & v6_rlvect_1(k3_cayldick) & v7_rlvect_1(k3_cayldick) & v8_rlvect_1(k3_cayldick) & v2_funcsdom(k3_cayldick) & v3_normsp_0(k3_cayldick) & v4_normsp_0(k3_cayldick) & v2_normsp_1(k3_cayldick) & v1_vectsp_1(k3_cayldick) & v4_vectsp_1(k3_cayldick) & v2_lopban_2(k3_cayldick) & v3_lopban_2(k3_cayldick) & v4_lopban_2(k3_cayldick) & v1_cayldick(k3_cayldick) & v3_cayldick(k3_cayldick) & v4_cayldick(k3_cayldick) & v5_cayldick(k3_cayldick) & v6_cayldick(k3_cayldick) )).
fof(fc14_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k9_cc0sp2(A)) & v7_clvect_1(k9_cc0sp2(A)) ) ) )).
fof(fc14_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( ~ v11_struct_0(k5_circcomb(C,D)) & v1_msualg_1(k5_circcomb(C,D)) & v5_circcomb(k5_circcomb(C,D)) ) ) )).
fof(fc14_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v4_mssubfam(C,u1_struct_0(A),u3_msualg_1(A,B)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( v5_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) & v9_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc14_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v1_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) => ( v11_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) & v12_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc14_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( ~ v1_xboole_0(k15_cohsp_1(A,B)) & v1_classes1(k15_cohsp_1(A,B)) & v1_coh_sp(k15_cohsp_1(A,B)) ) ) )).
fof(fc14_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) & m1_subset_1(B,k4_compos_0(A)) ) => v3_card_3(k6_compos_0(A,B)) ) )).
fof(fc14_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ( v1_relat_1(k4_compos_1(A)) & v4_relat_1(k4_compos_1(A),k4_ordinal1) & v5_relat_1(k4_compos_1(A),u1_compos_1(A)) & v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A)) & v3_compos_1(k4_compos_1(A),A) ) ) )).
fof(fc14_comput_1,axiom,( v1_relat_1(k4_comput_1(3,3)) & v4_relat_1(k4_comput_1(3,3),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k4_comput_1(3,3)) & v4_valued_0(k4_comput_1(3,3)) & v2_margrel1(k4_comput_1(3,3)) & v7_comput_1(k4_comput_1(3,3)) )).
fof(fc14_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k2_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A))) & v1_funct_2(k2_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k4_ordinal1,k1_numbers) & v1_seq_2(k2_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A))) ) ) )).
fof(fc14_dickson,axiom,( ~ v2_struct_0(k11_dickson) & v4_orders_2(k11_dickson) )).
fof(fc14_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k10_funcsdom(k2_finseq_1(A))) & v13_algstr_0(k10_funcsdom(k2_finseq_1(A))) & v1_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v2_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v3_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v4_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v5_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v6_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v7_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v8_rlvect_1(k10_funcsdom(k2_finseq_1(A))) & v1_rlvect_5(k10_funcsdom(k2_finseq_1(A))) ) ) )).
fof(fc14_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k13_valued_1(C,A)) & v1_funct_1(k13_valued_1(C,A)) & v3_card_1(k13_valued_1(C,A),B) ) ) )).
fof(fc14_exchsort,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_xboole_0(B) & v1_exchsort(B) ) => v1_xboole_0(k6_exchsort(A,B)) ) )).
fof(fc14_facirc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_facirc_1(A) ) => ~ v1_facirc_1(k10_xtuple_0(A)) ) )).
fof(fc14_fcont_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_funct_1(k4_relat_1(A)) & v2_fcont_1(k4_relat_1(A)) ) ) )).
fof(fc14_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_lattices(k10_filter_2(A,B)) ) )).
fof(fc14_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( v1_relat_1(k6_relat_1(B,A)) & v2_finseq_1(k6_relat_1(B,A)) ) ) )).
fof(fc14_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k2_zfmisc_1(A,B)) ) )).
fof(fc14_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => v12_fomodel1(k1_funct_1(k28_fomodel1(A),B),A) ) )).
fof(fc14_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k14_fomodel2(A,B)) ) )).
fof(fc14_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => ( v1_partfun1(k9_fomodel3(A,B,C),k4_finseq_2(C,A)) & v8_relat_2(k9_fomodel3(A,B,C)) ) ) )).
fof(fc14_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v3_fomodel4(k1_tarski(B),A) ) )).
fof(fc14_funcop_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => v1_funcop_1(k2_funcop_1(A,B)) ) )).
fof(fc14_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v4_funct_1(k1_tarski(A)) ) )).
fof(fc14_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( v1_relat_1(k9_funct_4(A,B,C,D,E,F)) & v1_funct_1(k9_funct_4(A,B,C,D,E,F)) ) )).
fof(fc14_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & m1_subset_1(D,A) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v5_relat_1(k1_funct_7(B,C,D),A) & v1_funct_1(k1_funct_7(B,C,D)) ) ) )).
fof(fc14_funct_9,axiom,( v1_funct_1(k18_sin_cos) & v1_funct_2(k18_sin_cos,k1_numbers,k1_numbers) & v2_funct_9(k18_sin_cos) )).
fof(fc14_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v9_functor0(k11_functor0(A),A,A) & v12_functor0(k11_functor0(A),A,A) & v13_functor0(k11_functor0(A),A,A) ) ) )).
fof(fc14_gate_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => v1_xboole_0(k6_gate_1(A,B)) ) )).
fof(fc14_gaussint,axiom,( ~ v2_struct_0(k6_gaussint) & v36_algstr_0(k6_gaussint) & v5_group_1(k6_gaussint) )).
fof(fc14_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v4_glib_001(k8_glib_001(A,B,C,D),A) ) )).
fof(fc14_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ~ v2_struct_0(k25_grcat_1(A)) & ~ v11_struct_0(k25_grcat_1(A)) & v1_cat_1(k25_grcat_1(A)) & v2_cat_1(k25_grcat_1(A)) & v5_cat_1(k25_grcat_1(A)) ) ) )).
fof(fc14_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & l3_algstr_0(B) ) => v2_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) )).
fof(fc14_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k8_hahnban1(A,B)) & v7_vectsp_1(k8_hahnban1(A,B),A) & v8_vectsp_1(k8_hahnban1(A,B),A) & v9_vectsp_1(k8_hahnban1(A,B),A) & v10_vectsp_1(k8_hahnban1(A,B),A) & v11_vectsp_1(k8_hahnban1(A,B),A) ) ) )).
fof(fc14_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ( v1_funct_1(k1_bilinear(k1_complfld,A,A)) & v1_funct_2(k1_bilinear(k1_complfld,A,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v5_hermitan(k1_bilinear(k1_complfld,A,A),A) ) ) )).
fof(fc14_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) & m1_subset_1(C,k1_hilbert1) ) => v1_hilbert3(k3_hilbert1(k3_hilbert1(A,k3_hilbert1(B,C)),k3_hilbert1(k3_hilbert1(A,B),k3_hilbert1(A,C)))) ) )).
fof(fc14_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_partfun1(k6_hilbert4(A),k4_ordinal1) ) )).
fof(fc14_hurwitz2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & v6_hurwitz2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k2_hurwitz2(k1_complfld,A)) & v1_funct_2(k2_hurwitz2(k1_complfld,A),k4_ordinal1,u1_struct_0(k1_complfld)) & v6_hurwitz2(k2_hurwitz2(k1_complfld,A)) ) ) )).
fof(fc14_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_vectsp_1(A) & l6_algstr_0(A) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_ideal_1(k11_ideal_1(A,B,C),A) ) )).
fof(fc14_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_index_1(C,A,B) & m1_index_1(C,A,B) ) => ( v1_relat_1(k1_xtuple_0(C)) & v1_funct_1(k1_xtuple_0(C)) & v1_index_1(k1_xtuple_0(C)) ) ) )).
fof(fc14_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => v4_pre_topc(k2_jgraph_6(A,B,C,D),k15_euclid(2)) ) )).
fof(fc14_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_finset_1(k4_kurato_1(A,B)) ) )).
fof(fc14_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,k6_cqc_lang(A,k6_cqc_lang(A,B)),C),k8_cqc_lang(A,B,C)),A) ) )).
fof(fc14_mazurulm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_mazurulm(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v2_mazurulm(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k3_relat_1(B,C)) & v1_funct_2(k3_relat_1(B,C),u1_struct_0(A),u1_struct_0(A)) & v2_mazurulm(k3_relat_1(B,C),A,A) ) ) )).
fof(fc14_member_1,axiom,( ! [A] : ( v3_membered(A) => ( v1_membered(k7_member_1(A)) & v3_membered(k7_member_1(A)) ) ) )).
fof(fc14_membered,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v2_membered(k2_tarski(A,B)) ) )).
fof(fc14_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) ) => ( v1_relat_1(k8_memstr_0(A,B,C)) & v4_relat_1(k8_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k8_memstr_0(A,B,C)) & v5_funct_1(k8_memstr_0(A,B,C),k2_memstr_0(A,B)) & v1_partfun1(k8_memstr_0(A,B,C),u1_struct_0(B)) ) ) )).
fof(fc14_mod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => ( ~ v2_struct_0(k5_mod_4(A,B)) & v7_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) ) ) )).
fof(fc14_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v1_funct_1(k7_moebius2(A)) & v2_funct_1(k7_moebius2(A)) & v1_funct_2(k7_moebius2(A),k5_moebius2(A),k6_moebius2(A)) ) ) )).
fof(fc14_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k1_msafree3(A,B),A) & v5_msafree4(k1_msafree3(A,B),A,B) ) ) )).
fof(fc14_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & m1_subset_1(D,k3_msualg_1(A,C,k1_msafree3(A,B))) ) => ( v5_abcmiz_1(k7_msafree5(A,B,C,D),A,B) & v7_msafree5(k7_msafree5(A,B,C,D),A,k2_msualg_1(A,C),k1_msafree3(A,B)) ) ) )).
fof(fc14_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => v1_dilworth(k2_struct_0(k5_mycielsk(A)),k5_mycielsk(A)) ) )).
fof(fc14_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) & ~ v8_ordinal1(D) ) => v1_setfam_1(k2_enumset1(A,B,C,D)) ) )).
fof(fc14_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( v1_relat_1(k9_nat_3(A,B,C)) & v4_relat_1(k9_nat_3(A,B,C),A) & v1_funct_1(k9_nat_3(A,B,C)) & v1_partfun1(k9_nat_3(A,B,C),A) & v4_valued_0(k9_nat_3(A,B,C)) ) ) )).
fof(fc14_newton,axiom,( ~ v1_xboole_0(k8_newton) & ~ v1_finset_1(k8_newton) )).
fof(fc14_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_rlsub_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k15_normsp_3(A,B,C)) & v3_xxreal_2(k15_normsp_3(A,B,C)) ) ) )).
fof(fc14_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_int_1(k2_numpoly1(3,A)) & v1_numpoly1(k2_numpoly1(3,A)) ) ) )).
fof(fc14_oposet_1,axiom,( v3_qmax_1(k1_oposet_1) & v10_oposet_1(k1_oposet_1) )).
fof(fc14_ordinal1,axiom,( ! [A] : ( ( v3_ordinal1(A) & v8_ordinal1(A) ) => v1_xboole_0(k6_ordinal1(A)) ) )).
fof(fc14_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( v1_relat_1(k3_ordinal6(A)) & v1_funct_1(k3_ordinal6(A)) & v5_ordinal1(k3_ordinal6(A)) & v1_ordinal2(k3_ordinal6(A)) & v2_ordinal2(k3_ordinal6(A)) ) ) )).
fof(fc14_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v1_partfun3(k1_valued_1(B,C)) ) ) )).
fof(fc14_pcs_0,axiom,( ! [A] : ( ( v5_pcs_0(A) & l1_pcs_0(A) ) => v2_relat_2(u1_pcs_0(A)) ) )).
fof(fc14_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v3_group_1(k13_polynom3(A)) ) ) )).
fof(fc14_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v1_pre_poly(k5_finseq_1(A)) ) )).
fof(fc14_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & v8_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc14_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k4_polynom5(A,B,k12_algstr_0(A,k5_struct_0(A),k2_ratfunc1(A,B)))) & v1_funct_2(k4_polynom5(A,B,k12_algstr_0(A,k5_struct_0(A),k2_ratfunc1(A,B))),k4_ordinal1,u1_struct_0(A)) & v3_ratfunc1(k4_polynom5(A,B,k12_algstr_0(A,k5_struct_0(A),k2_ratfunc1(A,B))),A) ) ) )).
fof(fc14_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ v2_struct_0(k4_topmetr(A,A)) & v13_struct_0(k4_topmetr(A,A),1) & v1_pre_topc(k4_topmetr(A,A)) ) ) )).
fof(fc14_relat_1,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_xboole_0(k2_relat_1(A)) & v1_relat_1(k2_relat_1(A)) ) ) )).
fof(fc14_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v5_relat_2(B) ) => v5_relat_2(k3_xboole_0(A,B)) ) )).
fof(fc14_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_seq_2(A) ) => ( v1_relat_1(k30_valued_1(A)) & v1_funct_1(k30_valued_1(A)) & v3_valued_0(k30_valued_1(A)) & v2_seq_2(k30_valued_1(A)) ) ) )).
fof(fc14_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v1_ideal_1(k8_vectsp10(A,B,C),A) ) )).
fof(fc14_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_rltopsp1(k2_pre_topc(A,B),A) ) )).
fof(fc14_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ( v13_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A)) ) ) )).
fof(fc14_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_valued_0(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc14_rvsum_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( v1_relat_1(k7_rvsum_3(A,B,C,D,E)) & v1_funct_1(k7_rvsum_3(A,B,C,D,E)) & v3_valued_0(k7_rvsum_3(A,B,C,D,E)) & v1_finseq_1(k7_rvsum_3(A,B,C,D,E)) ) ) )).
fof(fc14_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => v3_card_1(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k13_scmfsa_2(B,A)),1) ) )).
fof(fc14_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) & v5_amistd_1(k3_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(k3_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc14_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k4_scmfsa8b(C,D,A,B)) & v1_relat_1(k4_scmfsa8b(C,D,A,B)) & v4_relat_1(k4_scmfsa8b(C,D,A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa8b(C,D,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa8b(C,D,A,B)) & v1_finset_1(k4_scmfsa8b(C,D,A,B)) & v1_afinsq_1(k4_scmfsa8b(C,D,A,B)) & v5_amistd_1(k4_scmfsa8b(C,D,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc14_scmfsa_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ~ v2_extpro_1(k14_scmfsa_2(A,C,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc14_scmpds_4,axiom,( v1_relat_1(k4_compos_1(k1_scmpds_2)) & v4_relat_1(k4_compos_1(k1_scmpds_2),k4_ordinal1) & v5_relat_1(k4_compos_1(k1_scmpds_2),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k4_compos_1(k1_scmpds_2)) & v1_finset_1(k4_compos_1(k1_scmpds_2)) & v2_scmpds_4(k4_compos_1(k1_scmpds_2)) & v3_scmpds_4(k4_compos_1(k1_scmpds_2)) )).
fof(fc14_scmpds_5,axiom,( v1_scmpds_5(k2_compos_1(k1_scmpds_2)) )).
fof(fc14_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k7_scmpds_6(B,C,A)) & v4_relat_1(k7_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k7_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k7_scmpds_6(B,C,A)) & v1_funct_1(k7_scmpds_6(B,C,A)) & v1_finset_1(k7_scmpds_6(B,C,A)) & v1_afinsq_1(k7_scmpds_6(B,C,A)) & v2_compos_1(k7_scmpds_6(B,C,A),k1_scmpds_2) ) ) )).
fof(fc14_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & v3_amistd_1(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc14_scmyciel,axiom,( ! [A] : v5_scmyciel(k5_scmyciel(A)) )).
fof(fc14_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_sfmastr1(A) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v1_sfmastr1(B) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k5_scmfsa6a(A,B)) & v1_relat_1(k5_scmfsa6a(A,B)) & v4_relat_1(k5_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k5_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k5_scmfsa6a(A,B)) & v1_finset_1(k5_scmfsa6a(A,B)) & v1_afinsq_1(k5_scmfsa6a(A,B)) & v1_scmfsa7b(k5_scmfsa6a(A,B)) ) ) )).
fof(fc14_simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_pre_topc(k5_simplex0(A,B)) & v1_matroid0(k5_simplex0(A,B)) & v6_simplex0(k5_simplex0(A,B),A) ) ) )).
fof(fc14_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(fc14_sincos10,axiom,( v1_relat_1(k5_relat_1(k1_fdiff_9,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos))) & v2_funct_1(k5_relat_1(k1_fdiff_9,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos))) )).
fof(fc14_sppol_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ~ v1_xboole_0(k1_sppol_2(A,B,C,D)) & v2_compts_1(k1_sppol_2(A,B,C,D),k15_euclid(2)) ) ) )).
fof(fc14_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v1_stacks_1(k14_stacks_1(A)) & v3_stacks_1(k14_stacks_1(A)) ) ) )).
fof(fc14_struct_0,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & l5_struct_0(A) ) => ~ v1_xboole_0(u4_struct_0(A)) ) )).
fof(fc14_subset_1,axiom,( ! [A] : ~ v1_subset_1(k2_subset_1(A),A) )).
fof(fc14_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k5_tex_4(A,B)) & v1_pre_topc(k5_tex_4(A,B)) ) ) )).
fof(fc14_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v4_pre_topc(k5_group_2(A,C,B),A) ) )).
fof(fc14_topreala,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k2_xxreal_1(A,B)) ) )).
fof(fc14_toprealb,axiom,( ! [A] : ( ( v2_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v1_pre_topc(k1_pre_topc(k2_topalg_2,k5_toprealb(A))) & v1_borsuk_1(k1_pre_topc(k2_topalg_2,k5_toprealb(A)),k2_topalg_2) ) ) )).
fof(fc14_toprealc,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_valued_2(A) ) => ( ~ v1_xboole_0(k2_toprealc(A)) & v1_valued_2(k2_toprealc(A)) ) ) )).
fof(fc14_tops_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v2_tops_1(k2_struct_0(A),A) ) )).
fof(fc14_trees_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v5_trees_3(k2_finseq_2(A,B)) ) ) )).
fof(fc14_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_valued_0(A) & v1_relat_1(B) ) => v1_valued_0(k4_xboole_0(A,B)) ) )).
fof(fc14_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v1_funct_1(k7_valued_1(A,B)) & v3_valued_0(k7_valued_1(A,B)) ) ) )).
fof(fc14_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_relat_1(k1_funct_1(D,B)) & v1_funct_1(k1_funct_1(D,B)) ) ) )).
fof(fc14_waybel10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v22_waybel_0(B,A,A) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_orders_2(k1_yellow_2(A,A,B)) & v4_yellow_0(k1_yellow_2(A,A,B),A) & v4_waybel_0(k1_yellow_2(A,A,B),A) ) ) )).
fof(fc14_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v1_funct_1(k3_waybel23(A,B)) & v1_funct_2(k3_waybel23(A,B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(A)) & v5_orders_3(k3_waybel23(A,B),k1_yellow_1(k7_waybel_0(B)),A) ) ) )).
fof(fc14_waybel25,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v4_waybel11(B) & m1_yellow_9(B,A) ) => ( v1_pre_topc(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) & v1_waybel25(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) ) ) )).
fof(fc14_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_waybel_8(A)) & v1_yellow_0(k1_waybel_8(A)) & v4_yellow_0(k1_waybel_8(A),A) ) ) )).
fof(fc14_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v12_waybel_0(k2_struct_0(A),A) & v13_waybel_0(k2_struct_0(A),A) ) ) )).
fof(fc14_waybel_4,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & v2_waybel_4(B,A) & v3_waybel_4(B,A) & v4_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k7_waybel_4(A,B)) & v1_funct_2(k7_waybel_4(A,B),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & v5_orders_3(k7_waybel_4(A,B),A,k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc14_waybel_8,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & v2_waybel_8(k2_yellow_1(A)) ) )).
fof(fc14_waybel_9,axiom,( ! [A] : ( ( v7_waybel_0(A) & l1_orders_2(A) ) => ( v6_waybel_0(k2_waybel_9(A),A) & v7_waybel_0(k2_waybel_9(A)) ) ) )).
fof(fc14_xreal_0,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => v3_xxreal_0(k2_xcmplx_0(B,A)) ) )).
fof(fc14_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v6_xxreal_2(k3_xxreal_1(A,B)) ) )).
fof(fc14_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) ) => ( v1_xxreal_0(k2_xxreal_3(A)) & ~ v3_xxreal_0(k2_xxreal_3(A)) ) ) )).
fof(fc14_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k5_yellow_1(k1_xboole_0,A)) & v5_orders_2(k5_yellow_1(k1_xboole_0,A)) & v1_lattice3(k5_yellow_1(k1_xboole_0,A)) & v2_lattice3(k5_yellow_1(k1_xboole_0,A)) ) ) )).
fof(fc14_yellow_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v3_lattice3(k3_yellow_3(A,B)) ) ) )).
fof(fc14_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v4_orders_2(k2_yellow_6(A,B,C)) & v6_waybel_0(k2_yellow_6(A,B,C),B) ) ) )).
fof(fc15_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ( ~ v1_xboole_0(k34_abcmiz_1(A)) & v3_trees_3(k34_abcmiz_1(A)) ) ) )).
fof(fc15_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & ~ v1_abian(A) & v1_int_1(B) & ~ v1_abian(B) ) => v1_abian(k6_xcmplx_0(A,B)) ) )).
fof(fc15_afinsq_1,axiom,( ! [A] : ! [B] : v3_card_1(k6_afinsq_1(A,B),2) )).
fof(fc15_algstr_4,axiom,( ! [A] : ( v1_xboole_0(A) => v2_struct_0(k14_algstr_4(A)) ) )).
fof(fc15_ami_6,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v3_amistd_1(k1_ami_3,k5_card_1(2)) )).
fof(fc15_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l6_aofa_a00(A) & ~ v2_struct_0(B) & l5_aofa_a00(B) ) => ( ~ v11_struct_0(k35_aofa_a00(A,B)) & v15_aofa_a00(k35_aofa_a00(A,B)) ) ) )).
fof(fc15_aofa_a01,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_exchsort(A) & v2_exchsort(A,k5_numbers) ) => ( v3_ordinal1(k3_exchsort(A)) & v1_finset_1(k3_exchsort(A)) ) ) )).
fof(fc15_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & ~ v3_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v2_hahnban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & ~ v3_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & v2_hahnban1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k9_bilinear(A,B,C,D,E)) & ~ v3_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) ) ) )).
fof(fc15_binop_2,axiom,( v1_funct_1(k23_binop_2) & v1_funct_2(k23_binop_2,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & v1_setwiseo(k23_binop_2,k4_ordinal1) )).
fof(fc15_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => v3_rcomp_1(k2_xboole_0(A,B)) ) )).
fof(fc15_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k9_c0sp2(A)) & v13_algstr_0(k9_c0sp2(A)) & v2_rlvect_1(k9_c0sp2(A)) & v3_rlvect_1(k9_c0sp2(A)) & v4_rlvect_1(k9_c0sp2(A)) & v5_rlvect_1(k9_c0sp2(A)) & v6_rlvect_1(k9_c0sp2(A)) & v7_rlvect_1(k9_c0sp2(A)) & v8_rlvect_1(k9_c0sp2(A)) & v3_normsp_0(k9_c0sp2(A)) & v4_normsp_0(k9_c0sp2(A)) & v2_normsp_1(k9_c0sp2(A)) ) ) )).
fof(fc15_card_1,axiom,( ! [A] : ( v1_finset_1(A) => ( v1_relat_1(k1_wellord2(A)) & v1_finset_1(k1_wellord2(A)) ) ) )).
fof(fc15_card_3,axiom,( ! [A] : ( ~ v1_finset_1(A) => ( v1_relat_1(k1_wellord2(A)) & ~ v1_finset_1(k1_wellord2(A)) ) ) )).
fof(fc15_cayldick,axiom,( ~ v23_algstr_0(k4_struct_0(k3_cayldick),k3_cayldick) & ~ v24_algstr_0(k4_struct_0(k3_cayldick),k3_cayldick) )).
fof(fc15_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v13_algstr_0(k9_cc0sp2(A)) & v2_rlvect_1(k9_cc0sp2(A)) & v3_rlvect_1(k9_cc0sp2(A)) & v4_rlvect_1(k9_cc0sp2(A)) & v3_normsp_0(k9_cc0sp2(A)) & v4_normsp_0(k9_cc0sp2(A)) & v2_clvect_1(k9_cc0sp2(A)) & v3_clvect_1(k9_cc0sp2(A)) & v4_clvect_1(k9_cc0sp2(A)) & v5_clvect_1(k9_cc0sp2(A)) & v8_clvect_1(k9_cc0sp2(A)) ) ) )).
fof(fc15_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(A,k5_margrel1),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k5_margrel1))) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) ) => ( ~ v11_struct_0(k5_circcomb(B,C)) & v1_msualg_1(k5_circcomb(B,C)) & v3_circcomb(k5_circcomb(B,C)) ) ) )).
fof(fc15_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v5_mssubfam(C,u1_struct_0(A),u3_msualg_1(A,B)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( v5_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) & v10_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc15_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v2_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) => ( v11_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) & v13_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc15_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( ~ v1_xboole_0(k16_cohsp_1(A,B)) & v1_classes1(k16_cohsp_1(A,B)) & v1_coh_sp(k16_cohsp_1(A,B)) ) ) )).
fof(fc15_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => ( v1_relat_1(k5_xtuple_0(B)) & v1_funct_1(k5_xtuple_0(B)) & v4_valued_0(k5_xtuple_0(B)) ) ) )).
fof(fc15_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & ~ v2_compos_1(C,A) ) => ( v1_relat_1(k1_funct_4(B,C)) & v1_funct_1(k1_funct_4(B,C)) & ~ v2_compos_1(k1_funct_4(B,C),A) ) ) )).
fof(fc15_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k3_comput_1(k5_numbers,A)) & v4_relat_1(k3_comput_1(k5_numbers,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k3_comput_1(k5_numbers,A)) & v4_valued_0(k3_comput_1(k5_numbers,A)) & v2_margrel1(k3_comput_1(k5_numbers,A)) & v8_comput_1(k3_comput_1(k5_numbers,A),k5_numbers) ) ) )).
fof(fc15_dickson,axiom,( ~ v2_struct_0(k11_dickson) & v1_wellfnd1(k11_dickson) )).
fof(fc15_euclid_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v2_struct_0(k7_real_ns1(A)) & v1_bhsp_1(k7_real_ns1(A)) & v1_rusub_4(k7_real_ns1(A)) ) ) )).
fof(fc15_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k24_valued_1(C,A)) & v1_funct_1(k24_valued_1(C,A)) & v3_card_1(k24_valued_1(C,A),B) ) ) )).
fof(fc15_exchsort,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_exchsort(B) ) => v1_finset_1(k6_exchsort(A,B)) ) )).
fof(fc15_facirc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_circcomb(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc15_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k1_fcont_1(A,B)) & v1_funct_2(k1_fcont_1(A,B),k1_numbers,k1_numbers) & v1_fcont_1(k1_fcont_1(A,B)) ) ) )).
fof(fc15_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => v14_lattices(k10_filter_2(A,k6_filter_2(A,B))) ) )).
fof(fc15_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)) & v1_finseq_1(k15_finseq_1(A)) ) ) )).
fof(fc15_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & v1_finset_1(B) & v1_finset_1(C) ) => v1_finset_1(k3_zfmisc_1(A,B,C)) ) )).
fof(fc15_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k29_fomodel1(A))) ) => v1_relat_1(k1_funct_1(k21_fomodel1(A),B)) ) )).
fof(fc15_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ~ v1_xboole_0(k24_fomodel2(A,B)) ) )).
fof(fc15_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => ( v1_partfun1(k9_fomodel3(A,B,C),k4_finseq_2(C,A)) & v3_relat_2(k9_fomodel3(A,B,C)) & v8_relat_2(k9_fomodel3(A,B,C)) ) ) )).
fof(fc15_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_xboole_0(B) ) => v3_fomodel4(k13_fomodel0(A,B),A) ) )).
fof(fc15_funcop_1,axiom,( ! [A] : ! [B] : v3_funct_1(k2_funcop_1(A,B)) )).
fof(fc15_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => v4_funct_1(k2_tarski(A,B)) ) )).
fof(fc15_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( v1_relat_1(k10_funct_4(A,B,C,D,E,F,G,H)) & v1_funct_1(k10_funct_4(A,B,C,D,E,F,G,H)) ) )).
fof(fc15_funct_9,axiom,( v1_funct_1(k2_fdiff_9) & v2_funct_9(k2_fdiff_9) )).
fof(fc15_functor0,axiom,( ! [A] : ( l1_altcat_1(A) => ( v9_functor0(k11_functor0(A),A,A) & v21_functor0(k11_functor0(A),A,A) ) ) )).
fof(fc15_gate_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xboole_0(B) ) => ~ v1_xboole_0(k7_gate_1(A,B)) ) )).
fof(fc15_gaussint,axiom,( ~ v2_struct_0(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v2_gaussint(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) )).
fof(fc15_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v5_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v5_glib_001(k8_glib_001(A,B,C,D),A) ) )).
fof(fc15_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ~ v2_struct_0(k25_grcat_1(A)) & ~ v11_struct_0(k25_grcat_1(A)) & v1_cat_1(k25_grcat_1(A)) & v3_cat_1(k25_grcat_1(A)) & v4_cat_1(k25_grcat_1(A)) & v6_cat_1(k25_grcat_1(A)) ) ) )).
fof(fc15_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v3_group_1(B) & l3_algstr_0(B) ) => v3_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) )).
fof(fc15_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v2_relat_1(k7_hilbert4(A)) ) )).
fof(fc15_hurwitz2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & ~ v1_ratfunc1(A,k1_complfld) & v6_hurwitz2(A) & v8_hurwitz2(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k1_hurwitz2(k1_complfld,A)) & v1_funct_2(k1_hurwitz2(k1_complfld,A),k4_ordinal1,u1_struct_0(k1_complfld)) & ~ v1_ratfunc1(k1_hurwitz2(k1_complfld,A),k1_complfld) ) ) )).
fof(fc15_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k3_xboole_0(B,C)) ) )).
fof(fc15_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_index_1(C,A,B) & m1_index_1(C,A,B) ) => ( v1_relat_1(k2_xtuple_0(C)) & v1_funct_1(k2_xtuple_0(C)) & v1_funcop_1(k2_xtuple_0(C)) ) ) )).
fof(fc15_kurato_1,axiom,( ~ v1_xboole_0(k6_kurato_1) )).
fof(fc15_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,B,k6_cqc_lang(A,k6_cqc_lang(A,C))),k8_cqc_lang(A,B,C)),A) ) )).
fof(fc15_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_mazurulm(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B)) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),u1_struct_0(A),u1_struct_0(A)) & v2_mazurulm(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),A,A) ) ) )).
fof(fc15_member_1,axiom,( ! [A] : ( v4_membered(A) => ( v1_membered(k7_member_1(A)) & v4_membered(k7_member_1(A)) ) ) )).
fof(fc15_membered,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v3_membered(k2_tarski(A,B)) ) )).
fof(fc15_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) & v7_ordinal1(D) ) => ( v1_relat_1(k9_memstr_0(A,B,C,D)) & v4_relat_1(k9_memstr_0(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k9_memstr_0(A,B,C,D)) & v5_funct_1(k9_memstr_0(A,B,C,D),k2_memstr_0(A,B)) & v1_partfun1(k9_memstr_0(A,B,C,D),u1_struct_0(B)) ) ) )).
fof(fc15_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => v1_finset_1(k5_moebius2(A)) ) )).
fof(fc15_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k1_msafree3(A,B),A) & v4_msualg_1(k1_msafree3(A,B),A) & v1_msafree1(k1_msafree3(A,B),A) ) ) )).
fof(fc15_msafree5,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => v7_ordinal1(k3_tarski(A)) ) )).
fof(fc15_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => v3_necklace(k7_mycielsk(A)) ) )).
fof(fc15_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) & ~ v8_ordinal1(D) & ~ v8_ordinal1(E) ) => v1_setfam_1(k3_enumset1(A,B,C,D,E)) ) )).
fof(fc15_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( v1_relat_1(k9_nat_3(A,B,C)) & v4_relat_1(k9_nat_3(A,B,C),A) & v1_funct_1(k9_nat_3(A,B,C)) & v1_partfun1(k9_nat_3(A,B,C),A) & v2_pre_poly(k9_nat_3(A,B,C)) ) ) )).
fof(fc15_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k18_normsp_3(A,B)) & v3_normsp_0(k18_normsp_3(A,B)) & v4_normsp_0(k18_normsp_3(A,B)) & v2_normsp_1(k18_normsp_3(A,B)) ) ) )).
fof(fc15_numpoly1,axiom,( ! [A] : ! [B] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) & v7_ordinal1(B) ) => ( v7_ordinal1(k2_numpoly1(A,B)) & v1_int_1(k2_numpoly1(A,B)) ) ) )).
fof(fc15_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v2_ordinal6(A) ) => ( v1_relat_1(k3_ordinal6(A)) & v1_funct_1(k3_ordinal6(A)) & v5_ordinal1(k3_ordinal6(A)) & v1_ordinal2(k3_ordinal6(A)) & v3_ordinal2(k3_ordinal6(A)) ) ) )).
fof(fc15_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v1_partfun3(k1_valued_1(B,C)) ) ) )).
fof(fc15_pcs_0,axiom,( ! [A] : ( ( v6_pcs_0(A) & l1_pcs_0(A) ) => v3_relat_2(u1_pcs_0(A)) ) )).
fof(fc15_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v4_vectsp_1(k13_polynom3(A)) ) ) )).
fof(fc15_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_pre_poly(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_pre_poly(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_pre_poly(k7_finseq_1(A,B)) ) ) )).
fof(fc15_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => v1_prvect_2(k5_finseq_1(A)) ) )).
fof(fc15_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v2_relat_1(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v2_relat_1(k3_relat_1(A,B)) ) ) )).
fof(fc15_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v5_relat_2(B) ) => v5_relat_2(k3_xboole_0(B,A)) ) )).
fof(fc15_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_seq_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_seq_2(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v3_valued_0(k1_valued_1(A,B)) & v1_seq_2(k1_valued_1(A,B)) ) ) )).
fof(fc15_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v1_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v2_ideal_1(k8_vectsp10(A,B,C),A) ) )).
fof(fc15_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v9_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v9_rltopsp1(k2_pre_topc(A,B),A) ) )).
fof(fc15_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k2_pre_topc(A,B),A) ) )).
fof(fc15_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => v4_valued_0(k5_finseq_1(A)) ) )).
fof(fc15_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( v1_relat_1(k8_rvsum_3(A)) & v1_funct_1(k8_rvsum_3(A)) & ~ v1_xboole_0(k8_rvsum_3(A)) & v3_valued_0(k8_rvsum_3(A)) & v1_finseq_1(k8_rvsum_3(A)) ) ) )).
fof(fc15_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => v4_amistd_1(k14_scmfsa_2(A,B,C),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc15_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k4_scmfsa6a(A,B)) & v1_relat_1(k4_scmfsa6a(A,B)) & v4_relat_1(k4_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa6a(A,B)) & v1_finset_1(k4_scmfsa6a(A,B)) & v1_afinsq_1(k4_scmfsa6a(A,B)) & v5_amistd_1(k4_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(k4_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc15_scmfsa_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ~ v2_extpro_1(k15_scmfsa_2(A,C,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc15_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) ) => ( v1_relat_1(k10_compos_1(k1_scmpds_2,A)) & v4_relat_1(k10_compos_1(k1_scmpds_2,A),k4_ordinal1) & v5_relat_1(k10_compos_1(k1_scmpds_2,A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k10_compos_1(k1_scmpds_2,A)) & v1_finset_1(k10_compos_1(k1_scmpds_2,A)) & v3_scmpds_4(k10_compos_1(k1_scmpds_2,A)) ) ) )).
fof(fc15_scmpds_5,axiom,( ! [A] : ( ( v1_scmpds_5(A) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k3_afinsq_1(A)) & v4_relat_1(k3_afinsq_1(A),k4_ordinal1) & v5_relat_1(k3_afinsq_1(A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_afinsq_1(A)) & v1_funct_1(k3_afinsq_1(A)) & v1_finset_1(k3_afinsq_1(A)) & v1_afinsq_1(k3_afinsq_1(A)) & v2_scmpds_4(k3_afinsq_1(A)) ) ) )).
fof(fc15_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k8_scmpds_6(B,C,A)) & v4_relat_1(k8_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k8_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k8_scmpds_6(B,C,A)) & v1_funct_1(k8_scmpds_6(B,C,A)) & v1_finset_1(k8_scmpds_6(B,C,A)) & v1_afinsq_1(k8_scmpds_6(B,C,A)) & v2_scmpds_4(k8_scmpds_6(B,C,A)) & v3_scmpds_4(k8_scmpds_6(B,C,A)) ) ) )).
fof(fc15_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => v1_amistd_1(k4_xtuple_0(k2_compos_1(k1_scmring2(A))),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc15_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & v8_scmyciel(A) & m1_subset_1(B,k1_zfmisc_1(k3_tarski(A))) ) => v8_scmyciel(k7_scmyciel(A,B)) ) )).
fof(fc15_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_sfmastr1(A) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_scmfsa7b(B) ) => ( ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) & v1_scmfsa7b(k3_scmfsa6a(A,B)) ) ) )).
fof(fc15_simplex0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v1_pre_topc(k5_simplex0(A,B)) & ~ v5_simplex0(k5_simplex0(A,B)) ) ) )).
fof(fc15_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) )).
fof(fc15_sincos10,axiom,( v1_relat_1(k5_relat_1(k2_fdiff_9,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))))) & v2_funct_1(k5_relat_1(k2_fdiff_9,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))))) )).
fof(fc15_sppol_2,axiom,( v1_topreal4(k1_topreal1) )).
fof(fc15_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v1_stacks_1(k14_stacks_1(A)) & v4_stacks_1(k14_stacks_1(A)) ) ) )).
fof(fc15_struct_0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l2_struct_0(A) ) => ~ v1_xboole_0(k8_struct_0(A)) ) )).
fof(fc15_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_pre_topc(k5_tex_4(A,B)) & v4_tex_4(k5_tex_4(A,B),A) ) ) )).
fof(fc15_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v4_pre_topc(k4_group_2(A,C,B),A) ) )).
fof(fc15_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k4_topreal9(A,B,C)) ) )).
fof(fc15_topreala,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k3_xxreal_1(A,B)) ) )).
fof(fc15_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k6_toprealb(A)) & v1_funct_2(k6_toprealb(A),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,A)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,A))))) & v2_funct_2(k6_toprealb(A),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,A))))) ) ) )).
fof(fc15_toprealc,axiom,( ! [A] : ( v3_valued_2(A) => ( v1_valued_2(k2_toprealc(A)) & v3_valued_2(k2_toprealc(A)) ) ) )).
fof(fc15_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc15_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ( ~ v1_xboole_0(k5_finseq_1(A)) & v6_trees_3(k5_finseq_1(A)) ) ) )).
fof(fc15_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_valued_0(A) & v1_relat_1(B) ) => v2_valued_0(k3_xboole_0(A,B)) ) )).
fof(fc15_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_rat_1(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v5_relat_1(k7_valued_1(A,B),k3_numbers) & v1_funct_1(k7_valued_1(A,B)) ) ) )).
fof(fc15_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_relat_1(k1_funct_1(D,B)) & v1_funct_1(k1_funct_1(D,B)) ) ) )).
fof(fc15_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k2_waybel_1(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A)))) & v1_funct_2(k2_waybel_1(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A))),u1_struct_0(k7_waybel10(A)),u1_struct_0(k1_yellow_2(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A))))) & v23_waybel_0(k2_waybel_1(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A))),k7_waybel10(A),k1_yellow_2(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A)))) ) ) )).
fof(fc15_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v1_funct_1(k4_waybel23(A,B)) & v1_funct_2(k4_waybel23(A,B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & v5_orders_3(k4_waybel23(A,B),k1_yellow_1(k7_waybel_0(B)),k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc15_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v1_waybel25(A) & l1_pre_topc(A) ) => ( v24_waybel_0(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc15_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_waybel_8(A)) & v4_yellow_0(k1_waybel_8(A),A) & v6_waybel34(k1_waybel_8(A),A) ) ) )).
fof(fc15_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_waybel_0(k3_waybel_0(A,B),A) ) )).
fof(fc15_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k8_waybel_4(A)) & v1_orders_2(k8_waybel_4(A)) ) ) )).
fof(fc15_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v6_waybel_0(k2_waybel_9(A),A) & v8_waybel_0(k2_waybel_9(A),A) & v10_waybel_0(k2_waybel_9(A),A) ) ) )).
fof(fc15_xreal_0,axiom,( ! [A] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) ) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & ~ v3_xxreal_0(k4_xcmplx_0(A)) ) ) )).
fof(fc15_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v6_xxreal_2(k2_xxreal_1(A,B)) ) )).
fof(fc15_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) ) => ( v1_xxreal_0(k2_xxreal_3(A)) & ~ v2_xxreal_0(k2_xxreal_3(A)) ) ) )).
fof(fc15_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v4_orders_2(k5_yellow_1(A,B)) ) ) )).
fof(fc15_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v1_funct_1(u1_waybel_0(A,B)) & ~ v1_xboole_0(u1_waybel_0(A,B)) & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) )).
fof(fc16_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_abcmiz_1) & v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ~ v5_abcmiz_1(k35_abcmiz_1(A,B),B,k28_abcmiz_1(B)) ) )).
fof(fc16_abian,axiom,( ! [A] : ( ( v1_int_1(A) & v1_abian(A) ) => v1_abian(k2_xcmplx_0(A,2)) ) )).
fof(fc16_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : v3_card_1(k7_afinsq_1(A,B,C),3) )).
fof(fc16_algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_struct_0(k14_algstr_4(A)) ) )).
fof(fc16_ami_6,axiom,( v1_amistd_1(k4_xtuple_0(k2_compos_1(k1_ami_3)),k5_card_1(2),k1_ami_3) )).
fof(fc16_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v14_aofa_a00(C,A) & l6_aofa_a00(C) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v14_aofa_a00(D,B) & l5_aofa_a00(D) ) => ( v14_aofa_a00(k35_aofa_a00(C,D),k2_xcmplx_0(A,B)) & v15_aofa_a00(k35_aofa_a00(C,D)) ) ) )).
fof(fc16_binop_2,axiom,( v1_funct_1(k5_binop_2) & v1_funct_2(k5_binop_2,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_setwiseo(k5_binop_2,k2_numbers) )).
fof(fc16_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v1_xboole_0(k4_xxreal_1(A,k1_xxreal_0)) ) )).
fof(fc16_card_1,axiom,( ! [A] : v3_card_1(k1_tarski(A),1) )).
fof(fc16_cayldick,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v3_normsp_0(A) & l1_cayldick(A) & ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v8_ordinal1(k2_normsp_0(A,B)) & v1_xreal_0(k2_normsp_0(A,B)) ) ) )).
fof(fc16_circcomb,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_circcomb(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & v3_circcomb(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(A,B)) & v1_msualg_1(k2_circcomb(A,B)) & v3_circcomb(k2_circcomb(A,B)) ) ) )).
fof(fc16_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v6_mssubfam(C,u1_struct_0(A),u3_msualg_1(A,B)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( v5_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) & v11_closure1(g1_closure1(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc16_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v3_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) => ( v11_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) & v14_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc16_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ~ v1_xboole_0(k17_cohsp_1(A,B)) ) )).
fof(fc16_compos_0,axiom,( v1_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0))) )).
fof(fc16_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & ~ v2_compos_1(B,A) & v7_ordinal1(C) ) => ( v1_relat_1(k6_compos_1(A,B,C)) & v4_relat_1(k6_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k6_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k6_compos_1(A,B,C)) & v1_finset_1(k6_compos_1(A,B,C)) & ~ v2_compos_1(k6_compos_1(A,B,C),A) ) ) )).
fof(fc16_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k3_comput_1(1,A)) & v4_relat_1(k3_comput_1(1,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k3_comput_1(1,A)) & v4_valued_0(k3_comput_1(1,A)) & v2_margrel1(k3_comput_1(1,A)) & v8_comput_1(k3_comput_1(1,A),1) ) ) )).
fof(fc16_dickson,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v2_struct_0(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) & v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) ) ) )).
fof(fc16_euclid_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => v3_valued_2(k1_tarski(A)) ) )).
fof(fc16_exchsort,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => v1_relat_1(k6_exchsort(A,B)) ) )).
fof(fc16_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => v1_xtuple_0(k9_facirc_1(A,B,C,D)) ) )).
fof(fc16_finseq_1,axiom,( ! [A] : ~ v1_xboole_0(k5_finseq_1(A)) )).
fof(fc16_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(D) ) => v1_finset_1(k4_zfmisc_1(A,B,C,D)) ) )).
fof(fc16_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k29_fomodel1(A))) ) => ( v1_relat_1(k1_funct_1(k21_fomodel1(A),B)) & v1_funct_1(k1_funct_1(k21_fomodel1(A),B)) ) ) )).
fof(fc16_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k26_fomodel2(A)) ) )).
fof(fc16_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_relat_1(E) & v1_funct_1(E) & v1_fomodel3(E,C,D) ) => ( v1_relat_1(k11_fomodel3(A,B,C,D,E)) & v1_funct_1(k11_fomodel3(A,B,C,D,E)) ) ) )).
fof(fc16_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) ) => v3_fomodel4(k13_fomodel0(C,B),A) ) )).
fof(fc16_funcop_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v3_funct_1(k5_relat_1(A,B)) ) ) )).
fof(fc16_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v5_funct_1(C,B) ) => ( v1_relat_1(k5_relat_1(C,A)) & v5_funct_1(k5_relat_1(C,A),B) ) ) )).
fof(fc16_funct_9,axiom,( v1_funct_1(k1_fdiff_9) & v2_funct_9(k1_fdiff_9) )).
fof(fc16_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) & v8_functor0(D,A,B) & v10_functor0(D,A,B) & l2_functor0(D,A,B) & v10_functor0(E,B,C) & l2_functor0(E,B,C) ) => ( v9_functor0(k13_functor0(A,B,C,D,E),A,C) & v10_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(fc16_gate_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => v1_xboole_0(k7_gate_1(A,B)) ) )).
fof(fc16_gaussint,axiom,( v13_algstr_0(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v2_rlvect_1(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v3_rlvect_1(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v4_rlvect_1(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v2_zmodul01(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v3_zmodul01(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v4_zmodul01(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v3_group_1(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v5_group_1(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v1_vectsp_1(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v3_vectsp_1(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v2_gaussint(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) & v3_gaussint(g1_gaussint(k1_gaussint,k3_gaussint,k2_gaussint,k4_gaussint,k10_subset_1(1,k1_gaussint),k10_subset_1(k5_numbers,k1_gaussint))) )).
fof(fc16_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v6_glib_001(k8_glib_001(A,B,C,D),A) ) )).
fof(fc16_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ~ v1_xboole_0(k26_grcat_1(A)) ) )).
fof(fc16_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v5_group_1(B) & l3_algstr_0(B) ) => v4_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) )).
fof(fc16_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( v1_funct_1(k7_bilinear(k1_complfld,A,B,C,D)) & v1_funct_2(k7_bilinear(k1_complfld,A,B,C,D),u1_struct_0(B),u1_struct_0(k1_complfld)) & v1_hermitan(k7_bilinear(k1_complfld,A,B,C,D),B) ) ) )).
fof(fc16_hilbert4,axiom,( ! [A] : v3_relat_2(k5_hilbert4(A)) )).
fof(fc16_hurwitz2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & ~ v2_ratfunc1(A,k1_complfld) & v6_hurwitz2(A) & v8_hurwitz2(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k2_hurwitz2(k1_complfld,A)) & v1_funct_2(k2_hurwitz2(k1_complfld,A),k4_ordinal1,u1_struct_0(k1_complfld)) & ~ v1_ratfunc1(k2_hurwitz2(k1_complfld,A),k1_complfld) ) ) )).
fof(fc16_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_ideal_1(k3_xboole_0(B,C),A) ) )).
fof(fc16_index_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => v4_funct_1(k10_xtuple_0(A)) ) )).
fof(fc16_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k2_kurato_1(A,B)) ) )).
fof(fc16_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,B,k6_cqc_lang(A,C)),k8_cqc_lang(A,C,k6_cqc_lang(A,B))),A) ) )).
fof(fc16_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_mazurulm(A,B)) & v1_funct_2(k1_mazurulm(A,B),u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(k1_mazurulm(A,B),u1_struct_0(A),u1_struct_0(A)) ) ) )).
fof(fc16_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k8_member_1(A,B)) ) )).
fof(fc16_membered,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_rat_1(B) ) => v4_membered(k2_tarski(A,B)) ) )).
fof(fc16_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) & v7_ordinal1(D) ) => ( v1_relat_1(k10_memstr_0(A,B,C,D)) & v4_relat_1(k10_memstr_0(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k10_memstr_0(A,B,C,D)) & v5_funct_1(k10_memstr_0(A,B,C,D),k2_memstr_0(A,B)) & v1_partfun1(k10_memstr_0(A,B,C,D),u1_struct_0(B)) ) ) )).
fof(fc16_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k1_msafree3(A,B),A) & v6_msafree4(k1_msafree3(A,B),A,B) & v7_msafree4(k1_msafree3(A,B),A,B) & v8_msafree4(k1_msafree3(A,B),A,B) ) ) )).
fof(fc16_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => v3_finseq_1(k8_relat_1(A,B)) ) )).
fof(fc16_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => v1_necklace(k7_mycielsk(A)) ) )).
fof(fc16_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) & ~ v8_ordinal1(D) & ~ v8_ordinal1(E) & ~ v8_ordinal1(F) ) => v1_setfam_1(k4_enumset1(A,B,C,D,E,F)) ) )).
fof(fc16_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k12_nat_3(A)) & v4_relat_1(k12_nat_3(A),k8_newton) & v1_funct_1(k12_nat_3(A)) & v1_partfun1(k12_nat_3(A),k8_newton) & v4_valued_0(k12_nat_3(A)) ) ) )).
fof(fc16_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k18_normsp_3(A,B)) & v13_algstr_0(k18_normsp_3(A,B)) & v2_rlvect_1(k18_normsp_3(A,B)) & v3_rlvect_1(k18_normsp_3(A,B)) & v4_rlvect_1(k18_normsp_3(A,B)) & v5_rlvect_1(k18_normsp_3(A,B)) & v6_rlvect_1(k18_normsp_3(A,B)) & v7_rlvect_1(k18_normsp_3(A,B)) & v8_rlvect_1(k18_normsp_3(A,B)) & v3_normsp_0(k18_normsp_3(A,B)) & v4_normsp_0(k18_normsp_3(A,B)) & v2_normsp_1(k18_normsp_3(A,B)) ) ) )).
fof(fc16_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_int_1(k2_numpoly1(4,A)) & v1_pythtrip(k2_numpoly1(4,A)) ) ) )).
fof(fc16_ordinal6,axiom,( ~ v1_zfmisc_1(k4_ordinal1) )).
fof(fc16_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v2_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v2_partfun3(k1_valued_1(B,C)) ) ) )).
fof(fc16_pcs_0,axiom,( ! [A] : ( ( v3_pcs_0(A) & l1_pcs_0(A) ) => ( v2_pcs_0(g1_pcs_0(u1_struct_0(A),u1_pcs_0(A))) & v3_pcs_0(g1_pcs_0(u1_struct_0(A),u1_pcs_0(A))) ) ) )).
fof(fc16_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v5_vectsp_1(k13_polynom3(A)) ) ) )).
fof(fc16_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(B) & m1_finseq_1(B,k3_finseq_2(A)) ) => v1_xboole_0(k5_pre_poly(A,B)) ) )).
fof(fc16_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => v1_prvect_2(k10_finseq_1(A,B)) ) )).
fof(fc16_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) ) => ~ v9_struct_0(k2_ratfunc1(A,k5_ratfunc1(A,B)),A) ) )).
fof(fc16_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_xboole_0(B) ) => ( v1_xboole_0(k5_relat_1(A,B)) & v1_relat_1(k5_relat_1(A,B)) ) ) )).
fof(fc16_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_2(A) & v1_relat_1(B) ) => v5_relat_2(k4_xboole_0(A,B)) ) )).
fof(fc16_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_seq_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v2_seq_2(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v3_valued_0(k1_valued_1(A,B)) & v2_seq_2(k1_valued_1(A,B)) ) ) )).
fof(fc16_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v3_ideal_1(k8_vectsp10(A,B,C),A) ) )).
fof(fc16_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k5_rltopsp1(A,B,C)) ) )).
fof(fc16_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k1_tops_1(A,B),A) ) )).
fof(fc16_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v4_valued_0(k10_finseq_1(A,B)) ) )).
fof(fc16_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( v1_relat_1(k8_rvsum_3(A)) & v1_funct_1(k8_rvsum_3(A)) & v3_valued_0(k8_rvsum_3(A)) & v1_finseq_1(k8_rvsum_3(A)) & v1_partfun3(k8_rvsum_3(A)) ) ) )).
fof(fc16_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k14_scmfsa_2(A,B,C))) ) )).
fof(fc16_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k5_scmfsa6a(A,B)) & v1_relat_1(k5_scmfsa6a(A,B)) & v4_relat_1(k5_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k5_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k5_scmfsa6a(A,B)) & v1_finset_1(k5_scmfsa6a(A,B)) & v1_afinsq_1(k5_scmfsa6a(A,B)) & v5_amistd_1(k5_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(k5_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc16_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => ~ v2_extpro_1(k16_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc16_scmpds_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k3_afinsq_1(k3_scmpds_2(A))) & v4_relat_1(k3_afinsq_1(k3_scmpds_2(A)),k4_ordinal1) & v5_relat_1(k3_afinsq_1(k3_scmpds_2(A)),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_afinsq_1(k3_scmpds_2(A))) & v1_funct_1(k3_afinsq_1(k3_scmpds_2(A))) & v1_finset_1(k3_afinsq_1(k3_scmpds_2(A))) & v1_afinsq_1(k3_afinsq_1(k3_scmpds_2(A))) & v3_scmpds_4(k3_afinsq_1(k3_scmpds_2(A))) ) ) )).
fof(fc16_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => v1_scmpds_5(k5_scmpds_2(A,B)) ) )).
fof(fc16_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k8_scmpds_6(B,C,A)) & v4_relat_1(k8_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k8_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k8_scmpds_6(B,C,A)) & v1_funct_1(k8_scmpds_6(B,C,A)) & v1_finset_1(k8_scmpds_6(B,C,A)) & v1_afinsq_1(k8_scmpds_6(B,C,A)) & v2_compos_1(k8_scmpds_6(B,C,A),k1_scmpds_2) ) ) )).
fof(fc16_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => v2_amistd_1(k2_compos_1(k1_scmring2(A)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc16_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => v11_scmyciel(k7_scmyciel(A,B)) ) )).
fof(fc16_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_sfmastr1(A) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_scmfsa7b(B) ) => ( ~ v1_xboole_0(k4_scmfsa6a(B,A)) & v1_relat_1(k4_scmfsa6a(B,A)) & v4_relat_1(k4_scmfsa6a(B,A),k4_ordinal1) & v5_relat_1(k4_scmfsa6a(B,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa6a(B,A)) & v1_finset_1(k4_scmfsa6a(B,A)) & v1_afinsq_1(k4_scmfsa6a(B,A)) & v1_scmfsa7b(k4_scmfsa6a(B,A)) ) ) )).
fof(fc16_simplex0,axiom,( ! [A] : ! [B] : ( ( v5_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v1_pre_topc(k5_simplex0(A,B)) & v3_matroid0(k5_simplex0(A,B)) ) ) )).
fof(fc16_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k5_numbers,k28_sin_cos))) & v2_funct_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(fc16_sincos10,axiom,( v1_relat_1(k5_relat_1(k2_fdiff_9,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k2_fdiff_9,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc16_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v1_stacks_1(k14_stacks_1(A)) & v5_stacks_1(k14_stacks_1(A)) ) ) )).
fof(fc16_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_struct_0(A) & l2_struct_0(A) ) => v1_xboole_0(k8_struct_0(A)) ) )).
fof(fc16_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l1_pre_topc(A) & ~ v1_zfmisc_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v7_struct_0(k1_pre_topc(A,B)) & v1_pre_topc(k1_pre_topc(A,B)) ) ) )).
fof(fc16_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k1_group_2(A,B),A) ) )).
fof(fc16_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_convex1(k4_topreal9(A,B,C),A) ) )).
fof(fc16_topreala,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k1_xxreal_1(A,B)) ) )).
fof(fc16_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k6_toprealb(A)) & v2_funct_1(k6_toprealb(A)) & v1_funct_2(k6_toprealb(A),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,A)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,A))))) ) ) )).
fof(fc16_toprealc,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_pre_topc(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v3_pre_topc(k2_toprealc(B),k15_euclid(A)) ) )).
fof(fc16_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_tops_1(k2_tops_1(A,B),A) ) )).
fof(fc16_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( ~ v1_xboole_0(k10_finseq_1(A,B)) & v6_trees_3(k10_finseq_1(A,B)) ) ) )).
fof(fc16_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_valued_0(A) & v1_relat_1(B) ) => v2_valued_0(k4_xboole_0(A,B)) ) )).
fof(fc16_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_int_1(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v5_relat_1(k7_valued_1(A,B),k4_numbers) & v1_funct_1(k7_valued_1(A,B)) ) ) )).
fof(fc16_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => v1_valued_0(k1_funct_1(D,B)) ) )).
fof(fc16_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) ) => ( v1_funct_1(k5_waybel23(A,B)) & v1_funct_2(k5_waybel23(A,B),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))) & v5_orders_3(k5_waybel23(A,B),A,k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))) ) ) )).
fof(fc16_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel_0(k4_waybel_0(A,B),A) ) )).
fof(fc16_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k8_waybel_4(A)) & v2_yellow_0(k8_waybel_4(A)) ) ) )).
fof(fc16_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k3_waybel_9(A)) & v6_waybel_0(k3_waybel_9(A),A) ) ) )).
fof(fc16_xreal_0,axiom,( ! [A] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) ) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & ~ v2_xxreal_0(k4_xcmplx_0(A)) ) ) )).
fof(fc16_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v6_xxreal_2(k4_xxreal_1(A,B)) ) )).
fof(fc16_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) ) => ( v1_xxreal_0(k2_xxreal_3(A)) & v3_xxreal_0(k2_xxreal_3(A)) ) ) )).
fof(fc16_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v5_orders_2(k5_yellow_1(A,B)) ) ) )).
fof(fc16_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_yellow_6(B,A) & l1_waybel_0(B,A) ) => ( v1_funct_1(u1_waybel_0(A,B)) & v3_funct_1(u1_waybel_0(A,B)) & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) )).
fof(fc17_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v6_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) => ( ~ v6_abcmiz_1(k37_abcmiz_1(A,B),A) & v7_abcmiz_1(k37_abcmiz_1(A,B),A) ) ) )).
fof(fc17_abian,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v1_abian(A) ) => ~ v1_abian(k2_xcmplx_0(A,2)) ) )).
fof(fc17_afinsq_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => ( v5_ordinal1(k2_funcop_1(A,B)) & v1_finset_1(k2_funcop_1(A,B)) ) ) )).
fof(fc17_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(g4_algstr_0(A,B,C)) & v22_algstr_0(g4_algstr_0(A,B,C)) ) ) )).
fof(fc17_algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k14_algstr_4(A))) ) => ( v7_ordinal1(k2_xtuple_0(B)) & ~ v8_ordinal1(k2_xtuple_0(B)) ) ) )).
fof(fc17_ami_6,axiom,( v2_amistd_1(k2_compos_1(k1_ami_3),k5_card_1(2),k1_ami_3) )).
fof(fc17_aofa_a00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v2_relat_1(k5_finseq_1(A)) ) )).
fof(fc17_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v4_msualg_1(E,A) & v4_msafree4(E,A,C) & v17_aofa_a00(E,A) & v20_aofa_a00(E,4,1,A) & v22_aofa_a00(E,A,1,1,11) & l3_msualg_1(E,A) & m1_subset_1(F,k12_aofa_a00(A,C,E,u4_aofa_a00(A,B,C,D))) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,D),k36_aofa_a00(A)) & m1_subset_1(G,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),k36_aofa_a00(A))) ) => ( v1_relat_1(k1_funct_1(k1_msafree4(u1_struct_0(A),F,k36_aofa_a00(A)),G)) & v1_funct_1(k1_funct_1(k1_msafree4(u1_struct_0(A),F,k36_aofa_a00(A)),G)) ) ) )).
fof(fc17_binop_2,axiom,( v1_funct_1(k11_binop_2) & v1_funct_2(k11_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_setwiseo(k11_binop_2,k1_numbers) )).
fof(fc17_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v1_xboole_0(k3_xxreal_1(k2_xxreal_0,A)) ) )).
fof(fc17_card_1,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) ) => v3_card_1(k9_xtuple_0(B),A) ) )).
fof(fc17_cayldick,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_cayldick(A) & l1_cayldick(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => v9_struct_0(k2_cayldick(A,B),A) ) )).
fof(fc17_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( v3_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & v4_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & v4_msafree2(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) ) ) )).
fof(fc17_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,B,B) ) => v3_relat_1(k5_closure1(A,B,C)) ) )).
fof(fc17_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v4_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) => ( v11_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) & v15_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc17_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( v1_classes1(k17_cohsp_1(A,B)) & v1_coh_sp(k17_cohsp_1(A,B)) ) ) )).
fof(fc17_compos_0,axiom,( v2_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0))) & v3_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0))) )).
fof(fc17_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,A) ) => ( v1_relat_1(k10_compos_1(A,B)) & v4_relat_1(k10_compos_1(A,B),k4_ordinal1) & v5_relat_1(k10_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k10_compos_1(A,B)) & v1_finset_1(k10_compos_1(A,B)) & v4_compos_1(k10_compos_1(A,B),A) ) ) )).
fof(fc17_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k3_comput_1(2,A)) & v4_relat_1(k3_comput_1(2,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k3_comput_1(2,A)) & v4_valued_0(k3_comput_1(2,A)) & v2_margrel1(k3_comput_1(2,A)) & v8_comput_1(k3_comput_1(2,A),2) ) ) )).
fof(fc17_dickson,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) & v4_dickson(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) ) ) )).
fof(fc17_euclid_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => v3_valued_2(k2_tarski(A,B)) ) )).
fof(fc17_exchsort,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => ( v1_relat_1(k6_exchsort(A,B)) & v5_relat_2(k6_exchsort(A,B)) & v8_relat_2(k6_exchsort(A,B)) ) ) )).
fof(fc17_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & ~ v1_xboole_0(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc17_finset_1,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A)) ) )).
fof(fc17_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v15_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v7_fomodel1(k1_funct_1(k22_fomodel1(A),B),A) ) )).
fof(fc17_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel1(k31_fomodel1(A),A) ) )).
fof(fc17_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_partfun1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => v1_partfun1(k11_fomodel3(A,B,C,D,E),k8_eqrel_1(A,C)) ) )).
fof(fc17_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v3_fomodel4(C,A) ) => v3_fomodel4(k2_xboole_0(B,C),A) ) )).
fof(fc17_funcop_1,axiom,( ! [A] : ! [B] : v4_relat_1(k2_funcop_1(A,B),A) )).
fof(fc17_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_funct_1(A) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ( v1_relat_1(k1_funct_1(C,B)) & v1_funct_1(k1_funct_1(C,B)) ) ) )).
fof(fc17_funct_9,axiom,( v1_funct_1(k26_sin_cos) & v2_funct_9(k26_sin_cos) )).
fof(fc17_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) & v8_functor0(D,A,B) & v11_functor0(D,A,B) & l2_functor0(D,A,B) & v10_functor0(E,B,C) & l2_functor0(E,B,C) ) => ( v9_functor0(k13_functor0(A,B,C,D,E),A,C) & v11_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(fc17_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ~ v1_xboole_0(k8_gate_1(A,B,C)) ) )).
fof(fc17_gaussint,axiom,( v5_card_3(k4_numbers) )).
fof(fc17_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v1_glib_001(k9_glib_001(A,B,C,D),A) ) )).
fof(fc17_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => v1_cat_1(k27_grcat_1(A)) ) )).
fof(fc17_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) ) => v4_relat_1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) ) )).
fof(fc17_hilbert4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( v1_funct_1(k5_hilbert3(k7_hilbert4(B),k8_hilbert4(B),A)) & v1_funct_2(k5_hilbert3(k7_hilbert4(B),k8_hilbert4(B),A),k3_hilbert3(k7_hilbert4(B),A),k3_hilbert3(k7_hilbert4(B),A)) & v1_partit_2(k5_hilbert3(k7_hilbert4(B),k8_hilbert4(B),A)) ) ) )).
fof(fc17_hurwitz2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & v6_hurwitz2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(B,k1_complfld) & ~ v1_ratfunc1(B,k1_complfld) & v6_hurwitz2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => v11_hurwitz2(k4_tarski(A,B)) ) )).
fof(fc17_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_ideal_1(k3_xboole_0(B,C),A) ) )).
fof(fc17_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => ( v1_funct_1(k7_cat_1(A,B,C)) & v1_funct_2(k7_cat_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_index_1(k7_cat_1(A,B,C)) ) ) )).
fof(fc17_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_kurato_1(k2_kurato_1(A,B),A) ) )).
fof(fc17_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,k6_cqc_lang(A,B),C),k8_cqc_lang(A,k6_cqc_lang(A,C),B)),A) ) )).
fof(fc17_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_mazurulm(A,B)) & v1_funct_2(k1_mazurulm(A,B),u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(k1_mazurulm(A,B),A,A) ) ) )).
fof(fc17_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k8_member_1(B,A)) ) )).
fof(fc17_membered,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v5_membered(k2_tarski(A,B)) ) )).
fof(fc17_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v5_memstr_0(D,A,B,C) ) => ( v1_relat_1(k10_memstr_0(A,B,D,C)) & v4_relat_1(k10_memstr_0(A,B,D,C),u1_struct_0(B)) & v1_funct_1(k10_memstr_0(A,B,D,C)) & v5_funct_1(k10_memstr_0(A,B,D,C),k2_memstr_0(A,B)) & v5_memstr_0(k10_memstr_0(A,B,D,C),A,B,k5_numbers) ) ) )).
fof(fc17_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v7_mod_4(k3_struct_0(A),A,A) ) ) )).
fof(fc17_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k8_moebius2(A)) & v4_relat_1(k8_moebius2(A),k8_newton) & v1_funct_1(k8_moebius2(A)) & v1_partfun1(k8_moebius2(A),k8_newton) & v4_valued_0(k8_moebius2(A)) & v2_pre_poly(k8_moebius2(A)) ) ) )).
fof(fc17_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v12_msafree4(C,A,B) & m1_msualg_4(C,A,B,B) ) => ( v1_relat_1(k1_funct_1(C,D)) & v3_rewrite1(k1_funct_1(C,D)) ) ) )).
fof(fc17_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & v7_ordinal1(D) ) => ~ v1_xboole_0(k13_msafree5(A,B,C,D)) ) )).
fof(fc17_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) & ~ v8_ordinal1(D) & ~ v8_ordinal1(E) & ~ v8_ordinal1(F) & ~ v8_ordinal1(G) ) => v1_setfam_1(k5_enumset1(A,B,C,D,E,F,G)) ) )).
fof(fc17_nat_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k12_nat_3(A)) & v4_relat_1(k12_nat_3(A),k8_newton) & v1_funct_1(k12_nat_3(A)) & v1_partfun1(k12_nat_3(A),k8_newton) & v2_pre_poly(k12_nat_3(A)) ) ) )).
fof(fc17_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_pythtrip(k2_xcmplx_0(k1_numpoly1(A),k1_numpoly1(k2_xcmplx_0(A,1)))) ) )).
fof(fc17_ordinal6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & ~ v1_zfmisc_1(B) & m1_subset_1(B,A) ) => ( v1_funct_1(k6_ordinal6(A,B)) & v1_funct_2(k6_ordinal6(A,B),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k6_ordinal6(A,B)) ) ) )).
fof(fc17_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v2_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v2_partfun3(k1_valued_1(B,C)) ) ) )).
fof(fc17_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v7_ordinal1(C) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v4_valued_0(k1_funct_7(A,B,C)) ) ) )).
fof(fc17_prvect_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_prvect_2(A) & v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_prvect_2(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_prvect_2(k7_finseq_1(A,B)) ) ) )).
fof(fc17_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v4_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => ~ v4_ratfunc1(k6_ratfunc1(A,B),A) ) )).
fof(fc17_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_xboole_0(k5_relat_1(A,B)) & v1_relat_1(k5_relat_1(A,B)) ) ) )).
fof(fc17_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_2(A) ) => ( v1_relat_1(k2_relat_1(A)) & v4_relat_2(k2_relat_1(A)) ) ) )).
fof(fc17_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_comseq_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_comseq_2(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v1_funct_1(k18_valued_1(A,B)) & v3_valued_0(k18_valued_1(A,B)) & v1_comseq_2(k18_valued_1(A,B)) ) ) )).
fof(fc17_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v10_rltopsp1(k1_tarski(B),A) ) )).
fof(fc17_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => v4_valued_0(k11_finseq_1(A,B,C)) ) )).
fof(fc17_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => v4_amistd_1(k15_scmfsa_2(A,B,C),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc17_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6c(A) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_scmfsa6b(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) & v1_scmfsa6b(k3_scmfsa6a(A,B)) ) ) )).
fof(fc17_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => ~ v2_extpro_1(k17_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc17_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v7_ordinal1(C) ) => ( v1_relat_1(k3_afinsq_1(k7_scmpds_2(B,A,C))) & v4_relat_1(k3_afinsq_1(k7_scmpds_2(B,A,C)),k4_ordinal1) & v5_relat_1(k3_afinsq_1(k7_scmpds_2(B,A,C)),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_afinsq_1(k7_scmpds_2(B,A,C))) & v1_funct_1(k3_afinsq_1(k7_scmpds_2(B,A,C))) & v1_finset_1(k3_afinsq_1(k7_scmpds_2(B,A,C))) & v1_afinsq_1(k3_afinsq_1(k7_scmpds_2(B,A,C))) & v3_scmpds_4(k3_afinsq_1(k7_scmpds_2(B,A,C))) ) ) )).
fof(fc17_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v1_scmpds_5(k10_scmpds_2(A,B,C)) ) )).
fof(fc17_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_scmpds_4(B) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( v1_relat_1(k4_scmpds_6(C,D,A,B)) & v4_relat_1(k4_scmpds_6(C,D,A,B),k4_ordinal1) & v5_relat_1(k4_scmpds_6(C,D,A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_6(C,D,A,B)) & v1_funct_1(k4_scmpds_6(C,D,A,B)) & v1_finset_1(k4_scmpds_6(C,D,A,B)) & v1_afinsq_1(k4_scmpds_6(C,D,A,B)) & v2_scmpds_4(k4_scmpds_6(C,D,A,B)) & v3_scmpds_4(k4_scmpds_6(C,D,A,B)) ) ) )).
fof(fc17_scmring3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => v1_amistd_1(k4_xtuple_0(k8_scmring2(A,B)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc17_simplex0,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & v5_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v1_pre_topc(k5_simplex0(A,B)) & v2_simplex0(k5_simplex0(A,B)) ) ) )).
fof(fc17_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(2,k28_sin_cos)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(2,k28_sin_cos)))) )).
fof(fc17_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( v1_stacks_1(k14_stacks_1(A)) & v6_stacks_1(k14_stacks_1(A)) ) ) )).
fof(fc17_struct_0,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_struct_0(A) ) => ( v7_ordinal1(k7_struct_0(A)) & v1_card_1(k7_struct_0(A)) ) ) )).
fof(fc17_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v1_subset_1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & ~ v1_tex_2(k1_pre_topc(A,B),A) ) ) )).
fof(fc17_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v3_pre_topc(k5_group_2(A,C,B),A) ) )).
fof(fc17_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & v3_xxreal_0(C) ) => v1_xboole_0(k3_topreal9(A,B,C)) ) )).
fof(fc17_topreala,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) & ~ v3_xxreal_0(C) & v1_xreal_0(C) & ~ v3_xxreal_0(D) & v1_xreal_0(D) ) => ~ v2_struct_0(k1_topreala(A,C,B,D)) ) )).
fof(fc17_toprealb,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k6_toprealb(A)) & v1_funct_2(k6_toprealb(A),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,A)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,A))))) & v5_pre_topc(k6_toprealb(A),k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,A))),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,A)))) ) ) )).
fof(fc17_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_metric_1(k14_euclid(A)) & v6_metric_1(k14_euclid(A)) & v7_metric_1(k14_euclid(A)) & v8_metric_1(k14_euclid(A)) & v9_metric_1(k14_euclid(A)) & v2_toprealc(k14_euclid(A)) ) ) )).
fof(fc17_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_tops_1(k2_tops_1(A,B),A) ) )).
fof(fc17_trees_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v6_trees_3(k2_finseq_2(A,B)) ) ) )).
fof(fc17_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_valued_0(A) & v1_relat_1(B) ) => v3_valued_0(k3_xboole_0(A,B)) ) )).
fof(fc17_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v1_funct_1(k7_valued_1(A,B)) & v4_valued_0(k7_valued_1(A,B)) ) ) )).
fof(fc17_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => v2_valued_0(k1_funct_1(D,B)) ) )).
fof(fc17_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) ) => ( v1_funct_1(k3_waybel23(A,k5_yellow_0(A,B))) & v1_funct_2(k3_waybel23(A,k5_yellow_0(A,B)),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))),u1_struct_0(A)) & v17_waybel_0(k3_waybel23(A,k5_yellow_0(A,B)),k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))),A) & v18_waybel_0(k3_waybel23(A,k5_yellow_0(A,B)),k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))),A) ) ) )).
fof(fc17_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k11_waybel_0(A,B)) ) )).
fof(fc17_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k9_waybel_4(A)) & v1_funct_2(k9_waybel_4(A),u1_struct_0(k1_yellow_1(k3_waybel_4(A))),u1_struct_0(k8_waybel_4(A))) & v5_orders_3(k9_waybel_4(A),k1_yellow_1(k3_waybel_4(A)),k8_waybel_4(A)) ) ) )).
fof(fc17_waybel_9,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ( v3_orders_2(k3_waybel_9(A)) & v6_waybel_0(k3_waybel_9(A),A) ) ) )).
fof(fc17_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v3_xxreal_0(k6_xcmplx_0(A,B)) ) )).
fof(fc17_xxreal_2,axiom,( v6_xxreal_2(k1_numbers) )).
fof(fc17_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) ) => ( v1_xxreal_0(k2_xxreal_3(A)) & v2_xxreal_0(k2_xxreal_3(A)) ) ) )).
fof(fc17_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v2_lattice3(k5_yellow_1(A,B)) ) ) )).
fof(fc17_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v4_orders_2(B) & l1_waybel_0(B,A) ) => ( v4_orders_2(k4_yellow_6(A,B,C)) & v6_waybel_0(k4_yellow_6(A,B,C),A) & v2_yellow_6(k4_yellow_6(A,B,C),A,B) ) ) )).
fof(fc18_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v7_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) => v6_abcmiz_1(k37_abcmiz_1(A,B),A) ) )).
fof(fc18_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_setfam_1(B) & v2_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) ) => ~ v1_xboole_0(k1_funct_1(C,D)) ) )).
fof(fc18_afinsq_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => v5_relat_1(k3_afinsq_1(B),A) ) )).
fof(fc18_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( v7_struct_0(g4_algstr_0(A,B,C)) & v22_algstr_0(g4_algstr_0(A,B,C)) ) ) )).
fof(fc18_algstr_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( v1_funct_1(k16_algstr_4(A,B)) & v2_funct_1(k16_algstr_4(A,B)) & v1_funct_2(k16_algstr_4(A,B),k11_algstr_4(A,B),u1_struct_0(k14_algstr_4(A))) ) ) )).
fof(fc18_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => v1_amistd_1(k4_xtuple_0(k7_ami_3(A)),k5_card_1(2),k1_ami_3) ) )).
fof(fc18_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => v2_relat_1(k11_finseq_1(A,B,C)) ) )).
fof(fc18_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v4_msualg_1(E,A) & v4_msafree4(E,A,C) & v17_aofa_a00(E,A) & v20_aofa_a00(E,4,1,A) & v22_aofa_a00(E,A,1,1,11) & l3_msualg_1(E,A) & m1_subset_1(F,k12_aofa_a00(A,C,E,u4_aofa_a00(A,B,C,D))) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,D),k36_aofa_a00(A)) & m1_subset_1(G,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),k36_aofa_a00(A))) ) => ( v5_relat_1(k1_funct_1(k1_msafree4(u1_struct_0(A),F,k36_aofa_a00(A)),G),k4_numbers) & v5_ordinal1(k1_funct_1(k1_msafree4(u1_struct_0(A),F,k36_aofa_a00(A)),G)) & v1_finset_1(k1_funct_1(k1_msafree4(u1_struct_0(A),F,k36_aofa_a00(A)),G)) ) ) )).
fof(fc18_binop_2,axiom,( v1_funct_1(k17_binop_2) & v1_funct_2(k17_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_setwiseo(k17_binop_2,k3_numbers) )).
fof(fc18_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v1_xboole_0(k4_xxreal_1(k2_xxreal_0,A)) ) )).
fof(fc18_card_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_zfmisc_1(A) & v3_card_1(B,1) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ~ v1_xboole_0(k4_xboole_0(A,B)) ) )).
fof(fc18_cayldick,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v2_vectsp_1(A) & v3_cayldick(A) & l1_cayldick(A) & ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v9_struct_0(k2_cayldick(A,B),A) ) )).
fof(fc18_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v3_circcomb(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_circcomb(B) & v3_circcomb(B) & l1_msualg_1(B) & v4_msafree2(C,A) & v4_circcomb(C,A) & v6_circcomb(C,A) & l3_msualg_1(C,A) & v4_msafree2(D,B) & v4_circcomb(D,B) & v6_circcomb(D,B) & l3_msualg_1(D,B) ) => ( v3_msualg_1(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) & v4_msualg_1(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) & v4_circcomb(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) & v6_circcomb(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) ) ) )).
fof(fc18_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_closure1(C,u1_struct_0(A),B) & v2_closure1(C,u1_struct_0(A),B) & v3_closure1(C,u1_struct_0(A),B) & m2_pboole(C,u1_struct_0(A),k5_mssubfam(u1_struct_0(A),B),k5_mssubfam(u1_struct_0(A),B)) ) => ( v5_closure1(k6_closure1(A,B,C),A) & v9_closure1(k6_closure1(A,B,C),A) ) ) )).
fof(fc18_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v5_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) => ( v11_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) & v16_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc18_compos_0,axiom,( v5_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) )).
fof(fc18_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & ~ v2_compos_1(C,A) ) => ( v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) & ~ v2_compos_1(k7_compos_1(A,B,C),A) ) ) )).
fof(fc18_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k3_comput_1(3,A)) & v4_relat_1(k3_comput_1(3,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k3_comput_1(3,A)) & v4_valued_0(k3_comput_1(3,A)) & v2_margrel1(k3_comput_1(3,A)) & v8_comput_1(k3_comput_1(3,A),3) ) ) )).
fof(fc18_dickson,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) & v3_dickson(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) ) ) )).
fof(fc18_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( v1_relat_1(k1_funct_7(D,B,C)) & v1_funct_1(k1_funct_7(D,B,C)) & v3_card_1(k1_funct_7(D,B,C),A) ) ) )).
fof(fc18_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) ) => v1_relat_1(k7_relat_1(k7_exchsort(A,B,C,D),E)) ) )).
fof(fc18_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(B,A)) & v1_funct_1(k7_finseq_1(B,A)) & ~ v1_xboole_0(k7_finseq_1(B,A)) & v1_finseq_1(k7_finseq_1(B,A)) ) ) )).
fof(fc18_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k5_xboole_0(A,B)) ) )).
fof(fc18_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k31_fomodel1(A)) ) )).
fof(fc18_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel1(k24_fomodel2(A,k5_numbers),A) ) )).
fof(fc18_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k17_fomodel3(A,B)) & v1_funct_2(k17_fomodel3(A,B),A,k8_eqrel_1(A,B)) & v2_funct_2(k17_fomodel3(A,B),k8_eqrel_1(A,B)) ) ) )).
fof(fc18_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_fomodel4(k4_tarski(B,C),A) ) )).
fof(fc18_funcop_1,axiom,( ! [A] : ! [B] : v4_relat_1(k17_funcop_1(A,B),k1_tarski(A)) )).
fof(fc18_funct_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_relat_1(A) & v1_funct_1(A) ) => ~ v1_zfmisc_1(k9_xtuple_0(A)) ) )).
fof(fc18_funct_9,axiom,( v1_funct_1(k27_sin_cos) & v2_funct_9(k27_sin_cos) )).
fof(fc18_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) & v8_functor0(D,A,B) & v10_functor0(D,A,B) & l2_functor0(D,A,B) & v11_functor0(E,B,C) & l2_functor0(E,B,C) ) => ( v9_functor0(k13_functor0(A,B,C,D,E),A,C) & v11_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(fc18_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_xboole_0(A) => v1_xboole_0(k8_gate_1(A,B,C)) ) )).
fof(fc18_gaussint,axiom,( v5_card_3(k1_gaussint) )).
fof(fc18_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ~ v1_xboole_0(k28_grcat_1(A)) ) )).
fof(fc18_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) ) => ( v1_partfun1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_group_7(k11_finseq_1(A,B,C)) ) ) )).
fof(fc18_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_ideal_1(k3_xboole_0(B,C),A) ) )).
fof(fc18_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_prob_1(k2_kurato_1(A,B),u1_struct_0(A)) ) )).
fof(fc18_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v2_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k8_member_1(A,B)) ) )).
fof(fc18_membered,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v6_membered(k2_tarski(A,B)) ) )).
fof(fc18_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) ) => ( v1_relat_1(k7_memstr_0(A,B,C)) & v4_relat_1(k7_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k7_memstr_0(A,B,C)) & v5_funct_1(k7_memstr_0(A,B,C),k2_memstr_0(A,B)) & v1_finset_1(k7_memstr_0(A,B,C)) ) ) )).
fof(fc18_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v7_ordinal1(k9_moebius2(A)) & ~ v8_ordinal1(k9_moebius2(A)) ) ) )).
fof(fc18_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v13_msafree4(C,A,B) & m1_msualg_4(C,A,B,B) ) => ( v1_relat_1(k1_funct_1(C,D)) & v4_rewrite1(k1_funct_1(C,D)) ) ) )).
fof(fc18_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & v7_ordinal1(D) ) => ~ v1_xboole_0(k14_msafree5(A,B,C,D)) ) )).
fof(fc18_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) & ~ v8_ordinal1(D) & ~ v8_ordinal1(E) & ~ v8_ordinal1(F) & ~ v8_ordinal1(G) & ~ v8_ordinal1(H) ) => v1_setfam_1(k6_enumset1(A,B,C,D,E,F,G,H)) ) )).
fof(fc18_nat_3,axiom,( v1_xboole_0(k13_pre_poly(k12_nat_3(1))) )).
fof(fc18_numpoly1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ~ v1_xboole_0(k6_numpoly1(A)) ) )).
fof(fc18_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => v3_ordinal6(k3_afinsq_1(A)) ) )).
fof(fc18_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v4_partfun3(k45_valued_1(B,C)) ) ) )).
fof(fc18_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(C) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v3_valued_0(k1_funct_7(A,B,C)) ) ) )).
fof(fc18_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k7_prvect_3(A,B)) & v3_normsp_0(k7_prvect_3(A,B)) & v4_normsp_0(k7_prvect_3(A,B)) & v1_normsp_1(k7_prvect_3(A,B)) & v2_normsp_1(k7_prvect_3(A,B)) ) ) )).
fof(fc18_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => v6_ratfunc1(k7_ratfunc1(A),A) ) )).
fof(fc18_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_xboole_0(B) ) => ( v1_xboole_0(k6_relat_1(B,A)) & v1_relat_1(k6_relat_1(B,A)) ) ) )).
fof(fc18_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_2(A) & v1_relat_1(B) ) => v4_relat_2(k3_xboole_0(A,B)) ) )).
fof(fc18_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v3_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v3_funct_1(k1_valued_1(B,C)) ) ) )).
fof(fc18_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v2_struct_0(k4_ring_2(A,B,C)) & v36_algstr_0(k4_ring_2(A,B,C)) ) ) )).
fof(fc18_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v10_rltopsp1(k5_rltopsp1(A,B,C),A) ) )).
fof(fc18_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v4_valued_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v4_valued_0(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc18_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k15_scmfsa_2(A,B,C))) ) )).
fof(fc18_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scmfsa6b(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6c(B) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k4_scmfsa6a(A,B)) & v1_relat_1(k4_scmfsa6a(A,B)) & v4_relat_1(k4_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa6a(A,B)) & v1_finset_1(k4_scmfsa6a(A,B)) & v1_afinsq_1(k4_scmfsa6a(A,B)) & v1_scmfsa6b(k4_scmfsa6a(A,B)) ) ) )).
fof(fc18_scmfsa_2,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v3_extpro_1(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc18_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v7_ordinal1(C) ) => ( v1_relat_1(k3_afinsq_1(k8_scmpds_2(B,A,C))) & v4_relat_1(k3_afinsq_1(k8_scmpds_2(B,A,C)),k4_ordinal1) & v5_relat_1(k3_afinsq_1(k8_scmpds_2(B,A,C)),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_afinsq_1(k8_scmpds_2(B,A,C))) & v1_funct_1(k3_afinsq_1(k8_scmpds_2(B,A,C))) & v1_finset_1(k3_afinsq_1(k8_scmpds_2(B,A,C))) & v1_afinsq_1(k3_afinsq_1(k8_scmpds_2(B,A,C))) & v3_scmpds_4(k3_afinsq_1(k8_scmpds_2(B,A,C))) ) ) )).
fof(fc18_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v1_scmpds_5(k11_scmpds_2(A,B,C)) ) )).
fof(fc18_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( v1_relat_1(k4_scmpds_6(C,D,A,B)) & v4_relat_1(k4_scmpds_6(C,D,A,B),k4_ordinal1) & v5_relat_1(k4_scmpds_6(C,D,A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_6(C,D,A,B)) & v1_funct_1(k4_scmpds_6(C,D,A,B)) & v1_finset_1(k4_scmpds_6(C,D,A,B)) & v1_afinsq_1(k4_scmpds_6(C,D,A,B)) & v2_compos_1(k4_scmpds_6(C,D,A,B),k1_scmpds_2) ) ) )).
fof(fc18_scmring3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => v2_amistd_1(k8_scmring2(A,B),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc18_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => ( v4_scmyciel(k6_scmyciel(A)) & v12_scmyciel(k6_scmyciel(A)) ) ) )).
fof(fc18_sfmastr1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k1_scmfsa8c(B,A)) & v1_relat_1(k1_scmfsa8c(B,A)) & v4_relat_1(k1_scmfsa8c(B,A),k4_ordinal1) & v5_relat_1(k1_scmfsa8c(B,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8c(B,A)) & v1_finset_1(k1_scmfsa8c(B,A)) & v1_afinsq_1(k1_scmfsa8c(B,A)) & v1_scmfsa7b(k1_scmfsa8c(B,A)) ) ) )).
fof(fc18_simplex0,axiom,( ! [A] : ( ( v4_matroid0(A) & l1_pre_topc(A) ) => ( v1_xxreal_0(k1_xxreal_3(k6_simplex0(A),1)) & v7_ordinal1(k1_xxreal_3(k6_simplex0(A),1)) ) ) )).
fof(fc18_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc18_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & l1_struct_0(A) ) => ( v7_ordinal1(k7_struct_0(A)) & ~ v8_ordinal1(k7_struct_0(A)) ) ) )).
fof(fc18_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k6_tex_4(A,B)) & v1_pre_topc(k6_tex_4(A,B)) ) ) )).
fof(fc18_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v3_pre_topc(k4_group_2(A,C,B),A) ) )).
fof(fc18_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ~ v1_xboole_0(k3_topreal9(A,B,C)) ) )).
fof(fc18_toprealb,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k6_toprealb(k1_fcont_1(A,B))) & v1_funct_2(k6_toprealb(k1_fcont_1(A,B)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(A,B))))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(A,B)))))) & v1_t_0topsp(k6_toprealb(k1_fcont_1(A,B)),k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(A,B)))),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(A,B))))) ) ) )).
fof(fc18_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => ( v1_relat_1(k72_valued_2(A,A,B,C)) & v1_funct_1(k72_valued_2(A,A,B,C)) & v1_finseq_1(k72_valued_2(A,A,B,C)) ) ) )).
fof(fc18_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) ) => ( v1_relat_1(k1_funct_6(A)) & v1_funct_1(k1_funct_6(A)) & v1_finseq_1(k1_funct_6(A)) & v4_trees_3(k1_funct_6(A)) ) ) )).
fof(fc18_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_valued_0(A) & v1_relat_1(B) ) => v3_valued_0(k4_xboole_0(A,B)) ) )).
fof(fc18_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k7_valued_1(C,D)) & v1_partfun1(k7_valued_1(C,D),A) ) ) )).
fof(fc18_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => v3_valued_0(k1_funct_1(D,B)) ) )).
fof(fc18_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) ) => ( v1_funct_1(k5_waybel23(A,B)) & v1_funct_2(k5_waybel23(A,B),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))) & v18_waybel_0(k5_waybel23(A,B),A,k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))) ) ) )).
fof(fc18_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k12_waybel_0(A,B)) ) )).
fof(fc18_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k10_waybel_4(A)) & v1_funct_2(k10_waybel_4(A),u1_struct_0(k8_waybel_4(A)),u1_struct_0(k1_yellow_1(k3_waybel_4(A)))) & v5_orders_3(k10_waybel_4(A),k8_waybel_4(A),k1_yellow_1(k3_waybel_4(A))) ) ) )).
fof(fc18_waybel_9,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ( v5_orders_2(k3_waybel_9(A)) & v6_waybel_0(k3_waybel_9(A),A) ) ) )).
fof(fc18_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v2_xxreal_0(k6_xcmplx_0(B,A)) ) )).
fof(fc18_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v6_xxreal_2(A) & v2_membered(B) & v6_xxreal_2(B) ) => v6_xxreal_2(k3_xboole_0(A,B)) ) )).
fof(fc18_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_3(A,B)) & ~ v3_xxreal_0(k3_xxreal_3(A,B)) ) ) )).
fof(fc18_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v1_lattice3(k5_yellow_1(A,B)) ) ) )).
fof(fc18_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ~ v1_xboole_0(k5_yellow_6(A)) ) )).
fof(fc19_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ( ~ v1_xboole_0(k38_abcmiz_1(A)) & v3_trees_3(k38_abcmiz_1(A)) ) ) )).
fof(fc19_abian,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_setfam_1(k1_zfmisc_1(A)) ) )).
fof(fc19_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => v5_relat_1(k6_afinsq_1(B,C),A) ) )).
fof(fc19_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( ~ v7_struct_0(g4_algstr_0(A,B,C)) & v22_algstr_0(g4_algstr_0(A,B,C)) ) ) )).
fof(fc19_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k18_algstr_4(A,B,C)) & v1_funct_2(k18_algstr_4(A,B,C),u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B))) & v1_group_6(k18_algstr_4(A,B,C),k14_algstr_4(A),k14_algstr_4(B)) ) ) )).
fof(fc19_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v4_compos_0(k7_ami_3(A),u1_compos_1(k1_ami_3)) & v2_amistd_1(k7_ami_3(A),k5_card_1(2),k1_ami_3) & ~ v4_amistd_1(k7_ami_3(A),k5_card_1(2),k1_ami_3) ) ) )).
fof(fc19_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_funct_1(A) & ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k4_card_3(k11_finseq_1(A,B,C))) ) => ( v1_relat_1(k1_funct_1(D,1)) & v1_funct_1(k1_funct_1(D,1)) ) ) )).
fof(fc19_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v4_msualg_1(E,A) & v4_msafree4(E,A,C) & v17_aofa_a00(E,A) & v20_aofa_a00(E,4,1,A) & v22_aofa_a00(E,A,1,1,11) & l3_msualg_1(E,A) & m1_subset_1(F,k12_aofa_a00(A,C,E,u4_aofa_a00(A,B,C,D))) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,D),k36_aofa_a00(A)) & m1_subset_1(G,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),k36_aofa_a00(A))) ) => ( v1_finset_1(k10_xtuple_0(k1_funct_1(k1_msafree4(u1_struct_0(A),F,k36_aofa_a00(A)),G))) & v5_membered(k10_xtuple_0(k1_funct_1(k1_msafree4(u1_struct_0(A),F,k36_aofa_a00(A)),G))) ) ) )).
fof(fc19_binop_2,axiom,( v1_funct_1(k22_binop_2) & v1_funct_2(k22_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_setwiseo(k22_binop_2,k4_numbers) )).
fof(fc19_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v1_xboole_0(k2_xxreal_1(A,k1_xxreal_0)) ) )).
fof(fc19_card_1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(k6_ordinal1(A)) ) )).
fof(fc19_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ( ~ v2_struct_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc19_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ( v3_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & v4_msualg_1(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) & v4_circcomb(k7_circcomb(A,B,C,D),k5_circcomb(C,D)) ) ) )).
fof(fc19_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_closure1(C,u1_struct_0(A),B) & v2_closure1(C,u1_struct_0(A),B) & v3_closure1(C,u1_struct_0(A),B) & m2_pboole(C,u1_struct_0(A),k5_mssubfam(u1_struct_0(A),B),k5_mssubfam(u1_struct_0(A),B)) ) => ( v4_msualg_1(k6_closure1(A,B,C),A) & v9_closure1(k6_closure1(A,B,C),A) ) ) )).
fof(fc19_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & l2_msualg_1(B,A) & v6_closure2(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) => ( v11_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) & v17_closure2(g1_closure2(A,u3_msualg_1(A,B),C),A) ) ) )).
fof(fc19_compos_0,axiom,( v5_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0))) )).
fof(fc19_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( v1_relat_1(k10_compos_1(A,B)) & v4_relat_1(k10_compos_1(A,B),k4_ordinal1) & v5_relat_1(k10_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k10_compos_1(A,B)) & v1_finset_1(k10_compos_1(A,B)) & v3_compos_1(k10_compos_1(A,B),A) ) ) )).
fof(fc19_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k5_comput_1(1,A)) & v4_relat_1(k5_comput_1(1,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k5_comput_1(1,A)) & v4_valued_0(k5_comput_1(1,A)) & v2_margrel1(k5_comput_1(1,A)) & v8_comput_1(k5_comput_1(1,A),1) ) ) )).
fof(fc19_dickson,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_orders_2(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) & v5_orders_2(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) ) ) )).
fof(fc19_euclid_9,axiom,( v7_struct_0(k3_pcomps_1(k14_euclid(k5_numbers))) )).
fof(fc19_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) ) => v1_finset_1(k9_funct_7(A,B,C)) ) )).
fof(fc19_finseq_1,axiom,( ! [A] : ! [B] : ~ v1_xboole_0(k10_finseq_1(A,B)) )).
fof(fc19_finset_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_finset_1(A) ) => v1_finset_1(k9_xtuple_0(A)) ) )).
fof(fc19_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => ( v1_relat_1(k3_relat_1(D,C)) & v1_finseq_1(k3_relat_1(D,C)) ) ) )).
fof(fc19_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel1(k27_fomodel1(A),A) ) )).
fof(fc19_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & v3_fomodel2(C,A,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v3_fomodel2(D,A,B) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v3_fomodel2(k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D),A,k1_nat_1(B,1)) ) )).
fof(fc19_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) ) => ( v1_relat_1(k2_relat_1(B)) & v4_relat_1(k2_relat_1(B),A) ) ) )).
fof(fc19_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v6_fomodel4(B,A) & m1_subset_1(B,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) => v7_fomodel4(k1_tarski(B),A) ) )).
fof(fc19_funcop_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => v1_funcop_1(k17_funcop_1(A,B)) ) )).
fof(fc19_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A) ) => v1_xboole_0(k1_funct_1(A,B)) ) )).
fof(fc19_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) & v8_functor0(D,A,B) & v11_functor0(D,A,B) & l2_functor0(D,A,B) & v11_functor0(E,B,C) & l2_functor0(E,B,C) ) => ( v9_functor0(k13_functor0(A,B,C,D,E),A,C) & v10_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(fc19_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_xboole_0(A) => v1_xboole_0(k8_gate_1(B,A,C)) ) )).
fof(fc19_gaussint,axiom,( ~ v2_struct_0(k6_gaussint) & ~ v6_struct_0(k6_gaussint) & v36_algstr_0(k6_gaussint) )).
fof(fc19_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v3_glib_001(k9_glib_001(A,B,C,D),A) ) )).
fof(fc19_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => v1_cat_1(k29_grcat_1(A)) ) )).
fof(fc19_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & v2_group_1(C) & l3_algstr_0(C) ) => v2_group_7(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) ) )).
fof(fc19_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ( ~ v2_struct_0(k10_hahnban1(A)) & v1_rlvect_1(k10_hahnban1(A)) ) ) )).
fof(fc19_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k14_ideal_1(A,B,C)) ) )).
fof(fc19_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k5_kurato_1(A,B)) ) )).
fof(fc19_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => v2_membered(k8_member_1(A,B)) ) )).
fof(fc19_membered,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_membered(k1_enumset1(A,B,C)) ) )).
fof(fc19_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_finset_1(C) ) => ( v1_relat_1(k6_memstr_0(A,B,C)) & v4_relat_1(k6_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k6_memstr_0(A,B,C)) & v5_funct_1(k6_memstr_0(A,B,C),k2_memstr_0(A,B)) & v1_finset_1(k6_memstr_0(A,B,C)) ) ) )).
fof(fc19_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => v6_membered(k13_pre_poly(k8_moebius2(A))) ) )).
fof(fc19_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ( v3_msualg_1(k10_msafree4(A,B,C),A) & v4_msualg_1(k10_msafree4(A,B,C),A) & v5_msafree4(k10_msafree4(A,B,C),A,B) ) ) )).
fof(fc19_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) ) => v1_finset_1(k15_msafree5(A,B,C,D)) ) )).
fof(fc19_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) & ~ v8_ordinal1(D) & ~ v8_ordinal1(E) & ~ v8_ordinal1(F) & ~ v8_ordinal1(G) & ~ v8_ordinal1(H) & ~ v8_ordinal1(I) ) => v1_setfam_1(k7_enumset1(A,B,C,D,E,F,G,H,I)) ) )).
fof(fc19_nat_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v3_card_1(k13_pre_poly(k12_nat_3(k1_newton(A,B))),1) ) )).
fof(fc19_numpoly1,axiom,( ~ v1_xboole_0(k8_numpoly1) )).
fof(fc19_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v2_card_3(k1_tarski(A)) ) )).
fof(fc19_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v3_partfun3(k45_valued_1(B,C)) ) ) )).
fof(fc19_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v4_valued_0(k1_valued_1(B,C)) ) ) )).
fof(fc19_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k7_prvect_3(A,B)) & v13_algstr_0(k7_prvect_3(A,B)) & v2_rlvect_1(k7_prvect_3(A,B)) & v3_rlvect_1(k7_prvect_3(A,B)) & v4_rlvect_1(k7_prvect_3(A,B)) & v5_rlvect_1(k7_prvect_3(A,B)) & v6_rlvect_1(k7_prvect_3(A,B)) & v7_rlvect_1(k7_prvect_3(A,B)) & v8_rlvect_1(k7_prvect_3(A,B)) & v3_normsp_0(k7_prvect_3(A,B)) & v4_normsp_0(k7_prvect_3(A,B)) & v1_normsp_1(k7_prvect_3(A,B)) & v2_normsp_1(k7_prvect_3(A,B)) ) ) )).
fof(fc19_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l5_algstr_0(A) ) => ~ v4_ratfunc1(k8_ratfunc1(A),A) ) )).
fof(fc19_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_xboole_0(B) ) => v1_xboole_0(k7_relat_1(A,B)) ) )).
fof(fc19_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_2(A) & v1_relat_1(B) ) => v4_relat_2(k3_xboole_0(B,A)) ) )).
fof(fc19_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v3_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v3_funct_1(k45_valued_1(B,C)) ) ) )).
fof(fc19_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v13_algstr_0(k4_ring_2(A,B,C)) & v36_algstr_0(k4_ring_2(A,B,C)) & v2_rlvect_1(k4_ring_2(A,B,C)) & v3_rlvect_1(k4_ring_2(A,B,C)) & v4_rlvect_1(k4_ring_2(A,B,C)) ) ) )).
fof(fc19_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => v4_amistd_1(k16_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc19_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6c(A) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6c(B) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k5_scmfsa6a(A,B)) & v1_relat_1(k5_scmfsa6a(A,B)) & v4_relat_1(k5_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k5_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k5_scmfsa6a(A,B)) & v1_finset_1(k5_scmfsa6a(A,B)) & v1_afinsq_1(k5_scmfsa6a(A,B)) & v1_scmfsa6b(k5_scmfsa6a(A,B)) ) ) )).
fof(fc19_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & m1_finseq_1(B,k4_numbers) ) => ( v1_relat_1(k17_funcop_1(A,B)) & v4_relat_1(k17_funcop_1(A,B),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k17_funcop_1(A,B)) & v5_funct_1(k17_funcop_1(A,B),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc19_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v7_ordinal1(C) ) => ( v1_relat_1(k3_afinsq_1(k9_scmpds_2(B,A,C))) & v4_relat_1(k3_afinsq_1(k9_scmpds_2(B,A,C)),k4_ordinal1) & v5_relat_1(k3_afinsq_1(k9_scmpds_2(B,A,C)),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_afinsq_1(k9_scmpds_2(B,A,C))) & v1_funct_1(k3_afinsq_1(k9_scmpds_2(B,A,C))) & v1_finset_1(k3_afinsq_1(k9_scmpds_2(B,A,C))) & v1_afinsq_1(k3_afinsq_1(k9_scmpds_2(B,A,C))) & v3_scmpds_4(k3_afinsq_1(k9_scmpds_2(B,A,C))) ) ) )).
fof(fc19_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v1_scmpds_5(k12_scmpds_2(A,B,C,D)) ) )).
fof(fc19_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k9_scmpds_6(B,C,A)) & v4_relat_1(k9_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k9_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k9_scmpds_6(B,C,A)) & v1_funct_1(k9_scmpds_6(B,C,A)) & v1_finset_1(k9_scmpds_6(B,C,A)) & v1_afinsq_1(k9_scmpds_6(B,C,A)) & v2_scmpds_4(k9_scmpds_6(B,C,A)) & v3_scmpds_4(k9_scmpds_6(B,C,A)) ) ) )).
fof(fc19_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v7_ordinal1(C) ) => v1_amistd_1(k4_xtuple_0(k9_scmring2(A,C,B)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc19_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v12_scmyciel(A) ) => ( v4_scmyciel(k6_scmyciel(A)) & v6_scmyciel(k6_scmyciel(A)) ) ) )).
fof(fc19_sfmastr1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_ami_2(k1_sfmastr1(A,B)) & ~ v1_scmfsa_m(k1_sfmastr1(A,B)) ) ) )).
fof(fc19_simplex0,axiom,( ! [A] : ( ( v4_matroid0(A) & l1_pre_topc(A) ) => ( v1_xxreal_0(k6_simplex0(A)) & v1_int_1(k6_simplex0(A)) ) ) )).
fof(fc19_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) & v2_funct_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(fc19_struct_0,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & v13_struct_0(B,A) & l1_struct_0(B) ) => v3_card_1(u1_struct_0(B),A) ) )).
fof(fc19_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l1_pre_topc(A) & ~ v1_zfmisc_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v7_struct_0(k6_tex_4(A,B)) & v1_pre_topc(k6_tex_4(A,B)) ) ) )).
fof(fc19_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k1_group_2(A,B),A) ) )).
fof(fc19_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ~ v1_xboole_0(k6_jgraph_6(A,B,C)) ) )).
fof(fc19_toprealb,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => v1_topreal2(k3_topreal9(2,B,A)) ) )).
fof(fc19_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => ( v1_relat_1(k78_valued_2(A,A,B,C)) & v1_funct_1(k78_valued_2(A,A,B,C)) & v1_finseq_1(k78_valued_2(A,A,B,C)) ) ) )).
fof(fc19_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( v1_relat_1(k13_funct_3(A,B)) & v1_funct_1(k13_funct_3(A,B)) & v3_trees_2(k13_funct_3(A,B)) ) ) )).
fof(fc19_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_relat_1(B) ) => v5_relat_1(k3_xboole_0(A,B),k3_numbers) ) )).
fof(fc19_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k7_valued_1(C,D)) & v1_partfun1(k7_valued_1(C,D),A) ) ) )).
fof(fc19_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => v5_relat_1(k1_funct_1(D,B),k3_numbers) ) )).
fof(fc19_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k11_waybel_0(A,B)) ) )).
fof(fc19_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k9_waybel_4(A)) & v2_funct_1(k9_waybel_4(A)) & v1_funct_2(k9_waybel_4(A),u1_struct_0(k1_yellow_1(k3_waybel_4(A))),u1_struct_0(k8_waybel_4(A))) ) ) )).
fof(fc19_waybel_9,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ( v4_orders_2(k3_waybel_9(A)) & v6_waybel_0(k3_waybel_9(A),A) ) ) )).
fof(fc19_xreal_0,axiom,( ! [A] : ! [B] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => v2_xxreal_0(k6_xcmplx_0(A,B)) ) )).
fof(fc19_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => ~ v1_xxreal_2(k3_xxreal_1(A,B)) ) )).
fof(fc19_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_3(B,A)) & ~ v2_xxreal_0(k3_xxreal_3(B,A)) ) ) )).
fof(fc19_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m3_yellow_6(C,u1_struct_0(B),A) ) => ( v1_orders_2(k4_yellow_1(u1_struct_0(B),C)) & v4_orders_2(k4_yellow_1(u1_struct_0(B),C)) & v7_waybel_0(k4_yellow_1(u1_struct_0(B),C)) ) ) )).
fof(fc1_abcmiz_0,axiom,( ! [A] : ( ( v1_abcmiz_0(A) & l1_orders_2(A) ) => v1_rewrite1(u1_orders_2(A)) ) )).
fof(fc1_abcmiz_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k1_abcmiz_1(A)) ) )).
fof(fc1_abcmiz_a,axiom,( v1_msualg_1(k27_abcmiz_1) & v1_instalg1(k27_abcmiz_1) & v1_abcmiz_1(k27_abcmiz_1) & v1_abcmiz_a(k27_abcmiz_1) )).
fof(fc1_abian,axiom,( ! [A] : ( v1_int_1(A) => v1_abian(k3_xcmplx_0(2,A)) ) )).
fof(fc1_absred_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ~ v2_struct_0(g1_absred_0(A,B)) & v1_absred_0(g1_absred_0(A,B)) ) ) )).
fof(fc1_absvalue,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => v1_xreal_0(k9_complex1(A)) ) )).
fof(fc1_aescip_1,axiom,( v1_funct_1(k3_aescip_1) & v1_funct_2(k3_aescip_1,k4_finseq_2(128,k5_margrel1),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v3_funct_2(k3_aescip_1,k4_finseq_2(128,k5_margrel1),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) )).
fof(fc1_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => v7_ordinal1(k9_xtuple_0(A)) ) )).
fof(fc1_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v1_incsp_1(k13_afproj(A)) & v6_incsp_1(k13_afproj(A)) & v1_incproj(k13_afproj(A)) & v2_incproj(k13_afproj(A)) & v3_incproj(k13_afproj(A)) & v4_incproj(k13_afproj(A)) ) ) )).
fof(fc1_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k5_afvect0(A,B)) & v8_algstr_0(k5_afvect0(A,B)) ) ) )).
fof(fc1_afvect01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) ) => ( ~ v2_struct_0(g1_analoaf(A,B)) & v1_analoaf(g1_analoaf(A,B)) ) ) )).
fof(fc1_algspec1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k3_finseq_2(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k3_finseq_2(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ~ v11_struct_0(g1_msualg_1(A,B,C,D)) & v1_msualg_1(g1_msualg_1(A,B,C,D)) ) ) )).
fof(fc1_algstr_1,axiom,( v3_rlvect_1(k3_algstr_0) & v4_rlvect_1(k3_algstr_0) & v1_algstr_1(k3_algstr_0) & v4_algstr_1(k3_algstr_0) )).
fof(fc1_algstr_3,axiom,( ~ v2_struct_0(k3_algstr_3) & v1_algstr_3(k3_algstr_3) )).
fof(fc1_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => ( v1_relat_1(k5_relat_1(B,C)) & v5_ordinal1(k5_relat_1(B,C)) ) ) )).
fof(fc1_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) ) => ( ~ v2_struct_0(g2_altcat_1(A,B,C)) & v6_altcat_1(g2_altcat_1(A,B,C)) ) ) )).
fof(fc1_altcat_2,axiom,( ! [A] : ( v1_relat_1(k1_pboole(A)) & v4_relat_1(k1_pboole(A),A) & v1_funct_1(k1_pboole(A)) & v1_partfun1(k1_pboole(A),A) & v1_funcop_1(k1_pboole(A)) ) )).
fof(fc1_altcat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_altcat_1(A,B,B)) ) )).
fof(fc1_altcat_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_altcat_1(A)) & v6_altcat_1(k7_altcat_1(A)) & v10_altcat_1(k7_altcat_1(A)) & v1_altcat_5(k7_altcat_1(A)) ) ) )).
fof(fc1_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) ) => ( v1_relat_1(k2_msafree(A,B,C)) & v1_funct_1(k2_msafree(A,B,C)) ) ) )).
fof(fc1_ami_2,axiom,( ~ v1_xboole_0(k1_ami_2) )).
fof(fc1_ami_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v1_setfam_1(k6_ordinal1(A)) ) )).
fof(fc1_ami_4,axiom,( v1_relat_1(k1_ami_4) & v4_relat_1(k1_ami_4,k4_ordinal1) & v5_relat_1(k1_ami_4,u1_compos_1(k1_ami_3)) & v1_funct_1(k1_ami_4) & v1_finset_1(k1_ami_4) )).
fof(fc1_ami_5,axiom,( ~ v1_finset_1(k8_struct_0(k1_ami_3)) )).
fof(fc1_ami_6,axiom,( v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_ami_3,k2_compos_1(k1_ami_3))) )).
fof(fc1_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & v2_ami_wstd(k4_amistd_1(A),A) ) ) )).
fof(fc1_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & v2_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( v1_relat_1(k1_funct_1(k3_funct_2(u1_compos_1(B),k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B))),k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B)))),u1_extpro_1(A,B),C),D)) & v1_funct_1(k1_funct_1(k3_funct_2(u1_compos_1(B),k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B))),k4_card_3(k3_relat_1(u1_memstr_0(A,B),u2_memstr_0(A,B)))),u1_extpro_1(A,B),C),D)) ) ) )).
fof(fc1_amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) & v3_amistd_2(C,A,B) & m1_subset_1(C,u1_compos_1(B)) & v7_ordinal1(D) ) => v3_amistd_2(k8_compos_0(u1_compos_1(B),C,D),A,B) ) )).
fof(fc1_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k2_analmetr(A,B,C)) & v2_analmetr(k2_analmetr(A,B,C)) ) ) )).
fof(fc1_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k2_analoaf(A)) & v1_analoaf(k2_analoaf(A)) ) ) )).
fof(fc1_analort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k5_analort(A,B,C)) & v1_analmetr(k5_analort(A,B,C)) ) ) )).
fof(fc1_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ~ v1_xboole_0(k3_anproj_1(A)) ) )).
fof(fc1_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_collsp(k5_anproj_1(A)) & v2_collsp(k5_anproj_1(A)) & v3_collsp(k5_anproj_1(A)) ) ) )).
fof(fc1_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => v2_relat_1(k10_finseq_1(A,B)) ) )).
fof(fc1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(D) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v2_relat_1(k1_funct_7(B,C,D)) & v1_funct_1(k1_funct_7(B,C,D)) ) ) )).
fof(fc1_aofa_i00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_finset_1(B) ) => ~ v1_finset_1(k1_funct_2(A,B)) ) )).
fof(fc1_aofa_l00,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v3_relat_1(A) & v1_funct_1(A) ) => ~ v1_xboole_0(k3_card_3(A)) ) )).
fof(fc1_armstrng,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) ) => v1_finseq_1(k1_funct_1(A,B)) ) )).
fof(fc1_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_arrow(A)) ) )).
fof(fc1_arytm_0,axiom,( ! [A] : ! [B] : ~ v8_ordinal1(k4_tarski(A,B)) )).
fof(fc1_arytm_2,axiom,( ~ v1_xboole_0(k1_arytm_2) )).
fof(fc1_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => ( v3_ordinal1(k6_ordinal3(A,B)) & v7_ordinal1(k6_ordinal3(A,B)) ) ) )).
fof(fc1_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k5_asympt_0(A,B)) & v1_funct_2(k5_asympt_0(A,B),k4_ordinal1,k1_numbers) & v2_asympt_0(k5_asympt_0(A,B)) ) ) )).
fof(fc1_asympt_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( v1_funct_1(k1_asympt_1(A,B,C)) & v1_funct_2(k1_asympt_1(A,B,C),k4_ordinal1,k1_numbers) & v4_asympt_0(k1_asympt_1(A,B,C)) ) ) )).
fof(fc1_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( ~ v2_struct_0(k3_autalg_1(A)) & v15_algstr_0(k3_autalg_1(A)) & v2_group_1(k3_autalg_1(A)) & v3_group_1(k3_autalg_1(A)) ) ) )).
fof(fc1_bagorder,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_pre_poly(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_pre_poly(k5_relat_1(A,B)) ) ) )).
fof(fc1_ballot_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(D) ) => v1_finset_1(k1_ballot_1(A,B,C,D)) ) )).
fof(fc1_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v10_bcialg_1(k4_struct_0(A),A) & v1_bcialg_2(k4_struct_0(A),A) ) ) )).
fof(fc1_bcialg_4,axiom,( v13_struct_0(k2_bcialg_4,1) & v1_bcialg_4(k2_bcialg_4) )).
fof(fc1_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ v1_xboole_0(k4_bcialg_6(A,B,C)) ) )).
fof(fc1_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ~ v2_struct_0(g1_bhsp_1(A,B,C,D,E)) & v1_bhsp_1(g1_bhsp_1(A,B,C,D,E)) ) ) )).
fof(fc1_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_normsp_1(A,B,C)) & v1_funct_2(k1_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(k1_normsp_1(A,B,C),A) ) ) )).
fof(fc1_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ( v1_funct_1(k1_bilinear(A,B,C)) & v1_funct_2(k1_bilinear(A,B,C),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(k1_bilinear(A,B,C),A,B,C) ) ) )).
fof(fc1_binop_2,axiom,( v1_funct_1(k3_binop_2) & v1_funct_2(k3_binop_2,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_binop_1(k3_binop_2,k2_numbers) & v2_binop_1(k3_binop_2,k2_numbers) )).
fof(fc1_bintree1,axiom,( ~ v1_xboole_0(k2_trees_1(k5_numbers)) & v1_trees_1(k2_trees_1(k5_numbers)) & v1_bintree1(k2_trees_1(k5_numbers)) )).
fof(fc1_bintree2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( v1_funct_1(k1_bintree2(A,B)) & v2_funct_1(k1_bintree2(A,B)) & v1_funct_2(k1_bintree2(A,B),k2_trees_2(A,B),k4_ordinal1) ) ) )).
fof(fc1_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k3_relat_1(D,E)) & v1_funct_2(k3_relat_1(D,E),u1_struct_0(A),u1_struct_0(C)) & v5_pre_topc(k3_relat_1(D,E),A,C) ) ) )).
fof(fc1_borsuk_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(k3_struct_0(A),A,A) & v1_t_0topsp(k3_struct_0(A),A,A) ) ) )).
fof(fc1_borsuk_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v3_tops_2(k3_struct_0(A),A,A) ) ) )).
fof(fc1_borsuk_4,axiom,( ~ v2_struct_0(k1_borsuk_4) & v1_pre_topc(k1_borsuk_4) )).
fof(fc1_borsuk_5,axiom,( v2_pre_topc(k3_topmetr) & v1_borsuk_2(k3_topmetr) )).
fof(fc1_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_topmetr(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_topmetr(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,B))) ) => v1_xreal_0(k1_xtuple_0(C)) ) )).
fof(fc1_borsuk_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v1_funct_1(k7_valued_1(A,B)) & v2_funct_1(k7_valued_1(A,B)) ) ) )).
fof(fc1_brouwer2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v9_rltopsp1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => v9_rltopsp1(k5_rusub_4(k15_euclid(A),B,C),k15_euclid(A)) ) )).
fof(fc1_bspace,axiom,( ! [A] : ( ~ v2_struct_0(k7_bspace(A)) & v13_algstr_0(k7_bspace(A)) & v8_vectsp_1(k7_bspace(A),k2_bspace) & v9_vectsp_1(k7_bspace(A),k2_bspace) & v10_vectsp_1(k7_bspace(A),k2_bspace) & v11_vectsp_1(k7_bspace(A),k2_bspace) & v2_rlvect_1(k7_bspace(A)) & v3_rlvect_1(k7_bspace(A)) & v4_rlvect_1(k7_bspace(A)) ) )).
fof(fc1_bvfunc25,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k1_bvfunc25(A,B)) & v1_funct_1(k1_bvfunc25(A,B)) & v1_margrel1(k1_bvfunc25(A,B)) ) ) )).
fof(fc1_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( v1_ideal_1(k2_struct_0(A),A) & v1_c0sp1(k2_struct_0(A),A) ) ) )).
fof(fc1_c0sp2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v1_xreal_0(B) ) => ( v1_funct_1(k1_c0sp2(A,B)) & v1_funct_2(k1_c0sp2(A,B),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k1_c0sp2(A,B),A) ) ) )).
fof(fc1_calcul_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => v1_finset_1(k1_calcul_2(A,B)) ) )).
fof(fc1_cantor_1,axiom,( ! [A] : ( l1_pre_topc(A) => v1_cantor_1(u1_pre_topc(A),A) ) )).
fof(fc1_card_1,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A)) ) ) )).
fof(fc1_card_2,axiom,( ! [A] : ! [B] : ~ v7_ordinal1(k4_tarski(A,B)) )).
fof(fc1_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_card_3(k5_relat_1(A,B)) ) ) )).
fof(fc1_card_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => v3_ordinal1(k3_card_3(A)) ) )).
fof(fc1_card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ v1_xboole_0(k7_setfam_1(A,B)) ) )).
fof(fc1_card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_finset_1(k5_relat_1(A,B)) ) ) )).
fof(fc1_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) ) => ~ v1_xboole_0(k4_classes1(A)) ) )).
fof(fc1_cardfin2,axiom,( ! [A] : ( v1_xreal_0(A) => v2_xxreal_0(k23_sin_cos(A)) ) )).
fof(fc1_cat_1,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k3_cat_1(A,B)) & v7_struct_0(k3_cat_1(A,B)) & ~ v11_struct_0(k3_cat_1(A,B)) & v15_struct_0(k3_cat_1(A,B)) & v1_cat_1(k3_cat_1(A,B)) ) )).
fof(fc1_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ~ v1_xboole_0(k2_cat_2(A,B)) ) )).
fof(fc1_cat_4,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k5_cat_4(A,B)) & v7_struct_0(k5_cat_4(A,B)) & ~ v11_struct_0(k5_cat_4(A,B)) & v15_struct_0(k5_cat_4(A,B)) & v2_cat_4(k5_cat_4(A,B)) ) )).
fof(fc1_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k9_cat_5(A,B)) ) )).
fof(fc1_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => ~ v1_xboole_0(k6_cat_6(A)) ) )).
fof(fc1_cat_7,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_cat_6(A) ) => v1_xboole_0(k1_cat_6(A)) ) )).
fof(fc1_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v7_ordinal1(k1_catalan1(A)) & v1_xreal_0(k1_catalan1(A)) ) ) )).
fof(fc1_catalan2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => v5_relat_1(k2_funcop_1(A,B),k4_ordinal1) ) )).
fof(fc1_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_catalg_1(B,A) & l3_msualg_1(B,A) ) => ( v1_relat_1(u3_msualg_1(A,B)) & ~ v3_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) ) ) )).
fof(fc1_cayldick,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_xreal_0(k2_normsp_0(A,B)) & v2_xxreal_0(k2_normsp_0(A,B)) ) ) )).
fof(fc1_cayley,axiom,( ! [A] : v2_funct_2(k1_partit_2(A,k1_xboole_0),k1_xboole_0) )).
fof(fc1_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v5_clvect_1(k8_cfuncdom(A)) & v1_cfuncdom(k8_cfuncdom(A)) ) ) )).
fof(fc1_cc0sp2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_xcmplx_0(B) ) => ( v1_funct_1(k1_cc0sp2(A,B)) & v1_funct_2(k1_cc0sp2(A,B),u1_struct_0(A),k2_numbers) & v1_cc0sp2(k1_cc0sp2(A,B),A) ) ) )).
fof(fc1_cfdiff_1,axiom,( ! [A] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) ) => ( v1_funct_1(k1_cfdiff_1(A)) & v1_funct_2(k1_cfdiff_1(A),k4_ordinal1,k2_numbers) & v2_comseq_2(k1_cfdiff_1(A)) ) ) )).
fof(fc1_cfuncdom,axiom,( ! [A] : ( v1_funct_1(k1_cfuncdom(A)) & v1_funct_2(k1_cfuncdom(A),k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & v7_valued_2(k1_cfuncdom(A)) ) )).
fof(fc1_cgames_1,axiom,( ! [A] : ( v3_ordinal1(A) => ~ v1_xboole_0(k2_cgames_1(A)) ) )).
fof(fc1_chain_1,axiom,( ! [A] : ! [B] : ( ~ v1_zfmisc_1(A) => ~ v1_zfmisc_1(k2_xboole_0(A,B)) ) )).
fof(fc1_circcmb2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(A,k5_margrel1),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,k5_margrel1),k5_margrel1))) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) ) => ( v3_msualg_1(k7_circcomb(A,k5_margrel1,B,C),k5_circcomb(B,C)) & v4_msualg_1(k7_circcomb(A,k5_margrel1,B,C),k5_circcomb(B,C)) & v6_circcomb(k7_circcomb(A,k5_margrel1,B,C),k5_circcomb(B,C)) ) ) )).
fof(fc1_circcmb3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v8_struct_0(k5_circcomb(B,A)) & ~ v11_struct_0(k5_circcomb(B,A)) & v1_msualg_1(k5_circcomb(B,A)) ) ) )).
fof(fc1_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( v1_relat_1(k1_funct_4(C,D)) & v4_relat_1(k1_funct_4(C,D),k2_xboole_0(A,B)) & v1_funct_1(k1_funct_4(C,D)) ) ) )).
fof(fc1_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ( ~ v2_struct_0(k1_circtrm1(A,B,C)) & v1_msualg_1(k1_circtrm1(A,B,C)) & v1_circcomb(k1_circtrm1(A,B,C)) ) ) )).
fof(fc1_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => v1_finset_1(k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) ) )).
fof(fc1_ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ( ~ v1_xboole_0(k1_ckspace1(A,B,C)) & v3_c0sp1(k1_ckspace1(A,B,C),k12_funcsdom(C)) & v4_c0sp1(k1_ckspace1(A,B,C),k12_funcsdom(C)) ) ) )).
fof(fc1_classes1,axiom,( ! [A] : ~ v1_xboole_0(k1_classes1(A)) )).
fof(fc1_classes2,axiom,( ! [A] : v2_classes1(k1_classes1(A)) )).
fof(fc1_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v2_struct_0(k3_clopban1(A,B)) & v13_algstr_0(k3_clopban1(A,B)) & v2_rlvect_1(k3_clopban1(A,B)) & v3_rlvect_1(k3_clopban1(A,B)) & v4_rlvect_1(k3_clopban1(A,B)) & v1_clvect_1(k3_clopban1(A,B)) & v2_clvect_1(k3_clopban1(A,B)) & v3_clvect_1(k3_clopban1(A,B)) & v4_clvect_1(k3_clopban1(A,B)) & v5_clvect_1(k3_clopban1(A,B)) ) ) )).
fof(fc1_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( ~ v2_struct_0(k7_clopban2(A)) & v36_algstr_0(k7_clopban2(A)) ) ) )).
fof(fc1_clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_clopban3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k3_normsp_0(A,B)) & v1_funct_2(k3_normsp_0(A,B),k4_ordinal1,k1_numbers) & v1_series_1(k3_normsp_0(A,B)) ) ) )).
fof(fc1_clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_clopban4(A,B)) & v1_funct_2(k1_clopban4(A,B),k4_ordinal1,u1_struct_0(A)) & v2_clopban3(k1_clopban4(A,B),A) ) ) )).
fof(fc1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k15_pralg_1(B,C)) & v4_relat_1(k15_pralg_1(B,C),A) & v1_funct_1(k15_pralg_1(B,C)) & v1_partfun1(k15_pralg_1(B,C),A) ) ) )).
fof(fc1_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ~ v1_xboole_0(k1_closure2(A,B)) & v4_funct_1(k1_closure2(A,B)) & v2_card_3(k1_closure2(A,B)) ) ) )).
fof(fc1_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) ) => ( ~ v2_struct_0(g1_clvect_1(A,B,C,D)) & v1_clvect_1(g1_clvect_1(A,B,C,D)) ) ) )).
fof(fc1_coh_sp,axiom,( ! [A] : ~ v1_xboole_0(k3_coh_sp(A)) )).
fof(fc1_cohsp_1,axiom,( v1_classes1(k1_tarski(k1_xboole_0)) & v1_coh_sp(k1_tarski(k1_xboole_0)) )).
fof(fc1_compact1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_compact1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_compts_1(k2_pre_topc(A,B),A) ) )).
fof(fc1_compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v1_funct_1(k1_compl_sp(A,B)) & v1_funct_2(k1_compl_sp(A,B),k4_ordinal1,k1_numbers) & v3_valued_0(k1_compl_sp(A,B)) ) ) )).
fof(fc1_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xreal_0(k1_complex1(A)) ) )).
fof(fc1_complfld,axiom,( ~ v2_struct_0(k1_complfld) & v36_algstr_0(k1_complfld) )).
fof(fc1_complsp1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v2_struct_0(k1_complsp1(A)) & v1_pre_topc(k1_complsp1(A)) & v2_pre_topc(k1_complsp1(A)) ) ) )).
fof(fc1_compos_0,axiom,( v1_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) )).
fof(fc1_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ( ~ v1_xboole_0(k4_compos_1(A)) & v1_zfmisc_1(k4_compos_1(A)) & v1_relat_1(k4_compos_1(A)) & v4_relat_1(k4_compos_1(A),k4_ordinal1) & v5_relat_1(k4_compos_1(A),u1_compos_1(A)) & v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A)) & v1_afinsq_1(k4_compos_1(A)) ) ) )).
fof(fc1_compos_2,axiom,( ! [A] : ! [B] : ( ( v1_amistd_4(A) & l1_compos_1(A) & v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ( v1_relat_1(k11_compos_1(A,B)) & v4_relat_1(k11_compos_1(A,B),k4_ordinal1) & v5_relat_1(k11_compos_1(A,B),u1_compos_1(A)) & v1_funct_1(k11_compos_1(A,B)) & v1_finset_1(k11_compos_1(A,B)) & v3_compos_1(k11_compos_1(A,B),A) & v4_compos_1(k11_compos_1(A,B),A) ) ) )).
fof(fc1_comptrig,axiom,( v1_xreal_0(k28_sin_cos) & ~ v3_xxreal_0(k28_sin_cos) )).
fof(fc1_compts_1,axiom,( ! [A] : ( v1_pre_topc(k1_compts_1(A)) & v2_pre_topc(k1_compts_1(A)) ) )).
fof(fc1_comput_1,axiom,( ! [A] : ( ( v4_funct_1(A) & v1_comput_1(A) ) => ( v1_relat_1(k3_tarski(A)) & v1_funct_1(k3_tarski(A)) ) ) )).
fof(fc1_comseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) ) => ( v1_relat_1(k1_comseq_2(B)) & v4_relat_1(k1_comseq_2(B),A) & v1_funct_1(k1_comseq_2(B)) & v1_valued_0(k1_comseq_2(B)) ) ) )).
fof(fc1_comseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k3_comseq_3(A)) & v1_funct_1(k3_comseq_3(A)) & v3_valued_0(k3_comseq_3(A)) ) ) )).
fof(fc1_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l5_struct_0(A) ) => ~ v1_xboole_0(u4_struct_0(A)) ) )).
fof(fc1_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( ~ v2_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & v15_lattices(k11_conlat_1(A)) ) ) )).
fof(fc1_connsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => v2_connsp_1(k1_tarski(B),A) ) )).
fof(fc1_convex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_convex1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_convex1(k3_xboole_0(B,C),A) ) )).
fof(fc1_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_convex4(B,A) ) => v1_finset_1(k13_pre_poly(B)) ) )).
fof(fc1_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ~ v2_struct_0(k3_convfun1(A,B)) ) )).
fof(fc1_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & v3_card_1(C,B) & m1_finseq_1(C,k2_qc_lang1(A)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A),k2_qc_lang1(A)))) ) => v3_card_1(k1_cqc_lang(A,C,D),B) ) )).
fof(fc1_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => ~ v1_xboole_0(k12_cqc_sim1(A,B)) ) )).
fof(fc1_cqc_the1,axiom,( ~ v1_xboole_0(k2_cqc_the1) )).
fof(fc1_csspace,axiom,( ~ v2_struct_0(k5_csspace) & v13_algstr_0(k5_csspace) & v2_rlvect_1(k5_csspace) & v3_rlvect_1(k5_csspace) & v4_rlvect_1(k5_csspace) & v1_clvect_1(k5_csspace) & v2_clvect_1(k5_csspace) & v3_clvect_1(k5_csspace) & v4_clvect_1(k5_csspace) & v5_clvect_1(k5_csspace) )).
fof(fc1_csspace3,axiom,( ~ v1_xboole_0(k1_csspace3) )).
fof(fc1_csspace4,axiom,( ~ v1_xboole_0(k1_csspace4) )).
fof(fc1_dblseq_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( v1_funct_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A)) & v1_funct_2(k2_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A)) & v2_dblseq_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A)) & v3_dblseq_1(k2_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A)) ) ) )).
fof(fc1_dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => ( v1_relat_1(k61_valued_1(k2_partfun1(k4_ordinal1,A,B,k6_ordinal1(C)),1)) & v1_funct_1(k61_valued_1(k2_partfun1(k4_ordinal1,A,B,k6_ordinal1(C)),1)) & v1_finseq_1(k61_valued_1(k2_partfun1(k4_ordinal1,A,B,k6_ordinal1(C)),1)) ) ) )).
fof(fc1_descip_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) ) => ( v1_relat_1(k3_finseq_5(B)) & v1_funct_1(k3_finseq_5(B)) & v3_card_1(k3_finseq_5(B),A) & v1_finseq_1(k3_finseq_5(B)) ) ) )).
fof(fc1_dickson,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_relat_1(k3_dickson(A)) & v5_relat_2(k3_dickson(A)) ) ) )).
fof(fc1_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k3_diff_1(A,B)) & v1_funct_2(k3_diff_1(A,B),k1_numbers,k1_numbers) ) ) )).
fof(fc1_dilworth,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_orders_2(A) ) => ( v1_xboole_0(k1_dilworth(A)) & v7_ordinal1(k1_dilworth(A)) ) ) )).
fof(fc1_diraf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( ~ v2_struct_0(k2_diraf(A)) & v1_analoaf(k2_diraf(A)) ) ) )).
fof(fc1_dist_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) ) => ~ v1_xboole_0(k5_dist_1(A,B)) ) )).
fof(fc1_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => v1_setfam_1(k10_dist_1(A)) ) )).
fof(fc1_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k3_finseq_2(A)))) ) => ( ~ v2_struct_0(g1_lang1(A,B)) & v1_lang1(g1_lang1(A,B)) ) ) )).
fof(fc1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k5_dualsp01(A)) & v13_algstr_0(k5_dualsp01(A)) & v1_rlvect_1(k5_dualsp01(A)) & v2_rlvect_1(k5_dualsp01(A)) & v3_rlvect_1(k5_dualsp01(A)) & v4_rlvect_1(k5_dualsp01(A)) & v5_rlvect_1(k5_dualsp01(A)) & v6_rlvect_1(k5_dualsp01(A)) & v7_rlvect_1(k5_dualsp01(A)) & v8_rlvect_1(k5_dualsp01(A)) & v1_monoid_0(k5_dualsp01(A)) ) ) )).
fof(fc1_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k2_dualsp02(A)) & v1_funct_2(k2_dualsp02(A),u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) & v13_vectsp_1(k2_dualsp02(A),A,k17_dualsp01(k17_dualsp01(A))) & v1_lopban_1(k2_dualsp02(A),A,k17_dualsp01(k17_dualsp01(A))) ) ) )).
fof(fc1_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => v8_struct_0(k9_int_3(A)) ) )).
fof(fc1_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) ) => ~ v1_xboole_0(k1_ec_pf_2(A)) ) )).
fof(fc1_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( ~ v2_struct_0(k3_endalg(A)) & v22_algstr_0(k3_endalg(A)) ) ) )).
fof(fc1_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v4_funct_1(k1_ens_1(A)) & ~ v1_xboole_0(k1_ens_1(A)) ) ) )).
fof(fc1_eqrel_1,axiom,( ! [A] : ( v1_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A) ) )).
fof(fc1_equation,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msualg_2(C,A,B) ) => ~ v1_xboole_0(k2_equation(A,B,C)) ) )).
fof(fc1_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k1_euclid(A)) ) )).
fof(fc1_euclid10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v3_xxreal_0(C) ) => v1_xboole_0(k5_jgraph_6(A,B,C)) ) )).
fof(fc1_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => ~ v1_xboole_0(k1_euclid_4(A,B,C)) ) )).
fof(fc1_euclid_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k13_funct_3(A,B)) & v1_funct_1(k13_funct_3(A,B)) & v1_finseq_1(k13_funct_3(A,B)) ) ) )).
fof(fc1_euclid_9,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & ~ v2_xxreal_0(B) ) => v1_xboole_0(k4_xxreal_1(k6_xcmplx_0(A,B),k2_xcmplx_0(A,B))) ) )).
fof(fc1_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k1_euclidlp(A)) ) )).
fof(fc1_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => v1_ordinal6(k9_xtuple_0(A)) ) )).
fof(fc1_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v13_struct_0(k1_extpro_1(A),1) & v1_extpro_1(k1_extpro_1(A),A) ) ) )).
fof(fc1_extreal1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ~ v3_xxreal_0(k3_extreal1(A)) ) )).
fof(fc1_facirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ~ v1_facirc_1(k1_tarski(A)) ) )).
fof(fc1_facirc_2,axiom,( ! [A] : ( ~ v2_struct_0(k1_facirc_2(A)) & v11_struct_0(k1_facirc_2(A)) & v1_msualg_1(k1_facirc_2(A)) ) )).
fof(fc1_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k5_relat_1(A,B)) & v1_fcont_1(k5_relat_1(A,B)) ) ) )).
fof(fc1_fcont_3,axiom,( v2_rcomp_1(k2_subset_1(k1_numbers)) )).
fof(fc1_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_fdiff_1(A,k5_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v8_ordinal1(k1_seq_2(A)) & v1_xreal_0(k1_seq_2(A)) ) ) )).
fof(fc1_fdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v9_ordinal1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_fdiff_1(A,k5_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_relat_1(k30_valued_1(A)) & v1_funct_1(k30_valued_1(A)) & v9_ordinal1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A)) & v2_comseq_2(k30_valued_1(A)) ) ) )).
fof(fc1_fib_num2,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v1_abian(A) ) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & ~ v1_abian(k4_xcmplx_0(A)) ) ) )).
fof(fc1_fib_num3,axiom,( v1_xreal_0(k1_fib_num) & v2_xxreal_0(k1_fib_num) )).
fof(fc1_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k5_filter_0(A,B,C)) ) )).
fof(fc1_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k4_filter_1(A,B)) & v3_lattices(k4_filter_1(A,B)) & v10_lattices(k4_filter_1(A,B)) & v3_filter_0(k4_filter_1(A,B)) ) ) )).
fof(fc1_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k3_filter_2(A,B)) ) )).
fof(fc1_fin_topo,axiom,( ~ v2_struct_0(k4_fin_topo) & v1_orders_2(k4_fin_topo) )).
fof(fc1_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ~ v1_xboole_0(k6_finance1(A,B,C,D)) ) )).
fof(fc1_finance2,axiom,( ~ v1_xboole_0(k4_xboole_0(k1_numbers,k3_numbers)) )).
fof(fc1_finseq_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v8_ordinal1(A) ) => v1_xboole_0(k1_finseq_1(A)) ) )).
fof(fc1_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k1_finseq_2(A)) & v1_funct_1(k1_finseq_2(A)) & v3_card_1(k1_finseq_2(A),A) & v1_finseq_1(k1_finseq_2(A)) ) ) )).
fof(fc1_finseq_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => v2_card_3(k4_finseq_2(A,B)) ) )).
fof(fc1_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v1_relat_1(k7_finseq_4(A,B,C,D)) & v1_funct_1(k7_finseq_4(A,B,C,D)) & ~ v1_xboole_0(k7_finseq_4(A,B,C,D)) ) )).
fof(fc1_finseq_5,axiom,( ! [A] : v1_zfmisc_1(k5_finseq_1(A)) )).
fof(fc1_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ~ v1_zfmisc_1(k11_finseq_1(A,B,C)) )).
fof(fc1_finseq_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => v1_finseq_1(k9_funct_7(A,B,C)) ) )).
fof(fc1_finset_1,axiom,( ! [A] : v1_finset_1(k1_tarski(A)) )).
fof(fc1_finsub_1,axiom,( ! [A] : v4_finsub_1(k1_zfmisc_1(A)) )).
fof(fc1_fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ~ v2_struct_0(k3_fintopo5(A,B)) & v1_orders_2(k3_fintopo5(A,B)) ) ) )).
fof(fc1_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => v1_xboole_0(k9_fin_topo(A,k1_struct_0(A))) ) )).
fof(fc1_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ~ v1_xboole_0(k2_flang_2(A,B)) ) )).
fof(fc1_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k2_fomodel0(A)) & v1_funct_2(k2_fomodel0(A),k2_zfmisc_1(A,A),A) & v2_binop_1(k2_fomodel0(A),A) ) ) )).
fof(fc1_fomodel1,axiom,( ! [A] : ( ( v8_ordinal1(A) & v1_int_1(A) ) => ( v8_ordinal1(k9_complex1(A)) & v1_int_1(k9_complex1(A)) ) ) )).
fof(fc1_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v9_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) & m1_fomodel2(E,A,B,D) ) => ( v1_relat_1(k1_funct_4(C,k17_funcop_1(D,E))) & v1_funct_1(k1_funct_4(C,k17_funcop_1(D,E))) & v1_fomodel2(k1_funct_4(C,k17_funcop_1(D,E)),A,B) ) ) )).
fof(fc1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k4_ordinal1) & v8_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v3_card_1(D,k1_int_2(k19_fomodel1(A,C))) & m1_subset_1(D,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),B))) ) => v14_fomodel1(k1_fomodel3(A,C,D),k1_nat_1(B,1),A) ) )).
fof(fc1_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k1_fomodel4(A)) ) )).
fof(fc1_fraenkel,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k1_funct_2(A,B)) ) )).
fof(fc1_frechet,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(k3_pcomps_1(A))) ) => ( v1_tops_2(k1_frechet(A,B),k3_pcomps_1(A)) & v1_yellow_8(k1_frechet(A,B),k3_pcomps_1(A),B) ) ) )).
fof(fc1_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) ) => ( ~ v2_struct_0(k3_freealg(A,B)) & v1_lang1(k3_freealg(A,B)) ) ) )).
fof(fc1_friends1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_finset_1(A) ) => v1_finset_1(k9_relat_1(A,B)) ) )).
fof(fc1_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_xtuple_0(k3_fscirc_2(A,B,C)) ) )).
fof(fc1_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_finseq_1(D,A) ) => ~ v1_xboole_0(k2_fsm_1(A,B,C,D)) ) )).
fof(fc1_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k9_flang_1(A)) ) )).
fof(fc1_funcop_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)) ) )).
fof(fc1_funcsdom,axiom,( ! [A] : ( v1_funct_1(k5_funcsdom(A)) & v1_funct_2(k5_funcsdom(A),k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & v9_valued_2(k5_funcsdom(A)) ) )).
fof(fc1_funct_1,axiom,( ! [A] : ! [B] : v1_funct_1(k1_tarski(k4_tarski(A,B))) )).
fof(fc1_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ~ v1_xboole_0(k1_funct_2(A,B)) ) )).
fof(fc1_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k13_funct_3(A,B)) & v1_funct_1(k13_funct_3(A,B)) & v1_xboole_0(k13_funct_3(A,B)) ) ) )).
fof(fc1_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v1_relat_1(k4_funct_4(A,B,C,D)) & v1_funct_1(k4_funct_4(A,B,C,D)) ) )).
fof(fc1_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k1_funct_5(A)) & v1_funct_1(k1_funct_5(A)) & v1_funcop_1(k1_funct_5(A)) ) ) )).
fof(fc1_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k5_funct_6(A)) & v1_funct_1(k5_funct_6(A)) & v1_funcop_1(k5_funct_6(A)) ) ) )).
fof(fc1_funct_7,axiom,( ! [A] : ! [B] : ~ v1_xboole_0(k17_funcop_1(A,B)) )).
fof(fc1_funct_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_funct_8(A) ) => v1_funct_8(k9_xtuple_0(A)) ) )).
fof(fc1_funct_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) ) => v1_funct_9(k2_funcop_1(k1_numbers,A),A) ) )).
fof(fc1_functor0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A)) & v1_xboole_0(k2_funct_4(A)) ) ) )).
fof(fc1_functor1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_altcat_2(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l2_altcat_1(B) & v8_functor0(C,A,B) & l2_functor0(C,A,B) & ~ v2_struct_0(D) & v1_altcat_2(D) & m1_altcat_2(D,A) ) => v8_functor0(k14_functor0(A,B,D,C),D,B) ) )).
fof(fc1_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v8_functor0(D,A,B) & v10_functor0(D,A,B) & v13_functor0(D,A,B) & l2_functor0(D,A,B) & v8_functor0(E,B,C) & v10_functor0(E,B,C) & v13_functor0(E,B,C) & l2_functor0(E,B,C) ) => ( v9_functor0(k13_functor0(A,B,C,D,E),A,C) & v13_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(fc1_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v5_relat_1(k5_fuzzy_1(A),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k5_fuzzy_1(A)) & v1_funct_2(k5_fuzzy_1(A),A,k1_numbers) & v1_fuznum_1(k5_fuzzy_1(A),A) ) ) )).
fof(fc1_fuzzy_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(k4_funct_3(A,B)) & v5_relat_1(k4_funct_3(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k4_funct_3(A,B)) ) )).
fof(fc1_fuzzy_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ~ v1_xboole_0(k10_xtuple_0(B)) ) )).
fof(fc1_fvaluat1,axiom,( v1_fvaluat1(k1_xxreal_0) )).
fof(fc1_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) ) => ( v1_funct_1(u1_algstr_0(A)) & v1_funct_2(u1_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc1_gate_1,axiom,( ! [A] : ( v1_xboole_0(A) => ~ v1_xboole_0(k1_gate_1(A)) ) )).
fof(fc1_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => v1_int_1(k1_complex1(A)) ) )).
fof(fc1_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => ~ v1_xboole_0(k3_card_3(A)) ) )).
fof(fc1_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k7_geomtrap(A,B,C)) & v1_geomtrap(k7_geomtrap(A,B,C)) ) ) )).
fof(fc1_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_xtuple_0(k3_gfacirc2(A,B,C)) ) )).
fof(fc1_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ~ v1_xboole_0(k6_glib_000(A)) ) )).
fof(fc1_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ( ~ v1_xboole_0(k1_card_1(B)) & v1_card_1(k1_card_1(B)) & ~ v1_abian(k1_card_1(B)) ) ) )).
fof(fc1_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_relat_1(k13_glib_000(A,k2_glib_003,B)) & v4_relat_1(k13_glib_000(A,k2_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k2_glib_003,B)) & v1_finset_1(k13_glib_000(A,k2_glib_003,B)) & v1_glib_000(k13_glib_000(A,k2_glib_003,B)) ) ) )).
fof(fc1_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ( v1_relat_1(k5_relat_1(A,k2_glib_004)) & v1_glib_000(k5_relat_1(A,k2_glib_004)) & v1_glib_003(k5_relat_1(A,k2_glib_004)) ) ) )).
fof(fc1_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ( v1_relat_1(k5_glib_003(A)) & v4_relat_1(k5_glib_003(A),k7_glib_000(A)) & v1_funct_1(k5_glib_003(A)) & v1_partfun1(k5_glib_003(A),k7_glib_000(A)) & v4_valued_0(k5_glib_003(A)) ) ) )).
fof(fc1_goboard1,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m1_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( v1_matrix_0(k16_matrix_0(B,u1_struct_0(k15_euclid(2)),A)) & v1_goboard1(k16_matrix_0(B,u1_struct_0(k15_euclid(2)),A)) & v2_goboard1(k16_matrix_0(B,u1_struct_0(k15_euclid(2)),A)) & v3_goboard1(k16_matrix_0(B,u1_struct_0(k15_euclid(2)),A)) & v4_goboard1(k16_matrix_0(B,u1_struct_0(k15_euclid(2)),A)) ) ) )).
fof(fc1_goboard2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ v1_xboole_0(k1_goboard1(A)) ) )).
fof(fc1_goboard9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & ~ v3_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) ) ) )).
fof(fc1_gobrd11,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ v1_xboole_0(k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))) ) )).
fof(fc1_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v1_jordan1(k3_topreal1(2,A)) ) )).
fof(fc1_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(g3_algstr_0(u1_struct_0(A),u2_algstr_0(A))) & v3_group_1(g3_algstr_0(u1_struct_0(A),u2_algstr_0(A))) ) ) )).
fof(fc1_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k10_group_5(A)) & v1_group_3(k10_group_5(A),A) ) ) )).
fof(fc1_gr_cy_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_uniroots(A)) & v15_algstr_0(k1_uniroots(A)) & v2_group_1(k1_uniroots(A)) & v3_group_1(k1_uniroots(A)) & v5_group_1(k1_uniroots(A)) ) ) )).
fof(fc1_graph_1,axiom,( ! [A] : ( ( v6_graph_1(A) & l1_graph_1(A) ) => v1_finset_1(u1_struct_0(A)) ) )).
fof(fc1_graph_3,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) & v1_abian(B) ) => v1_abian(k6_xcmplx_0(A,B)) ) )).
fof(fc1_graph_3a,axiom,( ~ v2_struct_0(k5_graph_3a) & v5_graph_1(k5_graph_3a) & v6_graph_1(k5_graph_3a) )).
fof(fc1_graph_5,axiom,( ~ v1_xboole_0(k2_arytm_2) )).
fof(fc1_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,u4_struct_0(A),k8_graph_5) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k8_graph_5))) ) => v1_xreal_0(k11_graphsp(A,B,C,D)) ) )).
fof(fc1_grcat_1,axiom,( v2_midsp_2(k3_algstr_0) )).
fof(fc1_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_funct_1(k3_xboole_0(A,B)) ) )).
fof(fc1_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ~ v1_xboole_0(k2_grnilp_1(A)) ) )).
fof(fc1_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_orders_2(g1_orders_2(k15_pre_poly(A),k4_groeb_1(A))) & v4_dickson(g1_orders_2(k15_pre_poly(A),k4_groeb_1(A))) ) ) )).
fof(fc1_groeb_2,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v9_struct_0(k4_algstr_0(A,B),A) ) )).
fof(fc1_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => v1_finset_1(k2_polynom1(B,C)) ) )).
fof(fc1_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(u2_algstr_0(A)) & v1_funct_2(u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc1_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(A,A)) & v1_group_10(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(A,A)))) ) => ( v1_funct_1(k1_funct_1(D,C)) & v2_funct_1(k1_funct_1(D,C)) & v1_funct_2(k1_funct_1(D,C),A,A) ) ) )).
fof(fc1_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & m1_subset_1(C,A) ) => v2_group_1(k1_funct_1(B,C)) ) )).
fof(fc1_group_14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & ~ v1_xboole_0(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_prvect_1(k5_finseq_1(A)) ) ) )).
fof(fc1_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ~ v1_xboole_0(k1_group_18(A)) & v1_finset_1(k1_group_18(A)) ) ) )).
fof(fc1_group_19,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ( ~ v2_struct_0(k3_group_7(A,B)) & v15_algstr_0(k3_group_7(A,B)) & v1_monoid_0(k3_group_7(A,B)) ) ) )).
fof(fc1_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k1_group_2(A,B)) ) )).
fof(fc1_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ~ v1_xboole_0(k1_group_3(A)) ) )).
fof(fc1_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ~ v2_struct_0(k11_group_4(A)) & v3_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v13_lattices(k11_group_4(A)) & v14_lattices(k11_group_4(A)) ) ) )).
fof(fc1_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k6_group_2(A)) & v1_group_3(k6_group_2(A),A) ) ) )).
fof(fc1_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( v1_relat_1(k12_pralg_1(A,B)) & v2_relat_1(k12_pralg_1(A,B)) & v4_relat_1(k12_pralg_1(A,B),A) & v1_funct_1(k12_pralg_1(A,B)) & v1_partfun1(k12_pralg_1(A,B),A) ) ) )).
fof(fc1_group_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ~ v1_xboole_0(k15_group_2(A,B)) ) )).
fof(fc1_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ( v2_group_9(k4_group_9(A,B),A) & v4_group_9(k4_group_9(A,B),A,B) ) ) )).
fof(fc1_groupp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_groupp_1(C,A,B) & m1_subset_1(C,u1_struct_0(B)) ) => v1_groupp_1(k2_group_1(B,C),A,B) ) )).
fof(fc1_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k7_hahnban1(A,B)) & v1_funct_2(k7_hahnban1(A,B),u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(k7_hahnban1(A,B),B,A) ) ) )).
fof(fc1_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => v1_finset_1(k1_funct_1(B,C)) ) )).
fof(fc1_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => v8_pre_topc(k3_pcomps_1(A)) ) )).
fof(fc1_helly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( v1_glib_001(k2_helly(A,B,B),A) & v5_glib_001(k2_helly(A,B,B),A) ) ) )).
fof(fc1_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ( v1_funct_1(k7_hahnban1(k1_complfld,A)) & v1_funct_2(k7_hahnban1(k1_complfld,A),u1_struct_0(A),u1_struct_0(k1_complfld)) & v1_hermitan(k7_hahnban1(k1_complfld,A),A) ) ) )).
fof(fc1_heyting1,axiom,( ! [A] : ( v3_lattices(k11_normform(A)) & v3_filter_0(k11_normform(A)) ) )).
fof(fc1_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) ) => v1_finset_1(k1_heyting2(A,B,C)) ) )).
fof(fc1_heyting3,axiom,( ! [A] : ! [B] : v1_funct_1(k2_zfmisc_1(A,k1_tarski(B))) )).
fof(fc1_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & m1_subset_1(B,A) & ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_1(C) & v4_vectsp_1(C) & l6_algstr_0(C) ) => ( v1_funct_1(k3_hilbasis(A,B,C)) & v1_funct_2(k3_hilbasis(A,B,C),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k3_hilbasis(A,B,C),C) ) ) )).
fof(fc1_hilbert1,axiom,( v5_hilbert1(k1_hilbert1) )).
fof(fc1_hilbert3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v2_funct_1(k4_funct_4(k5_numbers,B,A,k5_numbers)) ) )).
fof(fc1_hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & v1_partit_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_relat_1(k2_funct_1(B)) & v1_funct_1(k2_funct_1(B)) & v1_partit_2(k2_funct_1(B)) ) ) )).
fof(fc1_huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( v1_relat_1(k1_trees_4(B)) & v1_funct_1(k1_trees_4(B)) & v3_trees_2(k1_trees_4(B)) & v2_bintree1(k1_trees_4(B)) ) ) )).
fof(fc1_hurwitz2,axiom,( v1_abian(k5_ordinal1) )).
fof(fc1_idea_1,axiom,( ~ v1_xboole_0(k14_idea_1) )).
fof(fc1_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => v1_ideal_1(k1_tarski(k4_struct_0(A)),A) ) )).
fof(fc1_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ~ v1_xboole_0(k1_incproj(A)) ) )).
fof(fc1_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => v1_index_1(k2_funcop_1(A,B)) ) )).
fof(fc1_int_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v1_int_1(k2_xcmplx_0(A,B)) ) )).
fof(fc1_int_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v7_ordinal1(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)) ) ) )).
fof(fc1_int_3,axiom,( ~ v2_struct_0(k1_int_3) & v36_algstr_0(k1_int_3) )).
fof(fc1_int_4,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v3_membered(A) & v1_xreal_0(B) ) => v1_finset_1(k17_member_1(A,B)) ) )).
fof(fc1_int_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k16_finseq_1(B,A)) & v1_funct_1(k16_finseq_1(B,A)) & v1_finseq_1(k16_finseq_1(B,A)) & v1_valued_0(k16_finseq_1(B,A)) ) ) )).
fof(fc1_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k13_nat_3(A)) & v4_relat_1(k13_nat_3(A),k8_newton) & v1_funct_1(k13_nat_3(A)) & v1_partfun1(k13_nat_3(A),k8_newton) & v1_int_7(k13_nat_3(A)) ) ) )).
fof(fc1_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(k1_int_8(A)) ) )).
fof(fc1_integr16,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => ( v1_relat_1(k3_comseq_3(A)) & v1_funct_1(k3_comseq_3(A)) & v1_finseq_1(k3_comseq_3(A)) ) ) )).
fof(fc1_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ v1_xboole_0(k1_integra1(A)) ) )).
fof(fc1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ~ v1_xboole_0(k3_interva1(A,B,C)) ) )).
fof(fc1_intpro_1,axiom,( v7_intpro_1(k1_intpro_1) )).
fof(fc1_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => v12_cat_1(k7_isocat_2(A,B,C),k9_nattra_1(k6_cat_2(A,B),C),k9_nattra_1(A,k9_nattra_1(B,C))) ) )).
fof(fc1_jgraph_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_struct_0(k1_jgraph_1(A)) ) )).
fof(fc1_jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( v1_funct_1(k2_jgraph_2(A,B,C,D)) & v1_funct_2(k2_jgraph_2(A,B,C,D),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & v5_pre_topc(k2_jgraph_2(A,B,C,D),k15_euclid(2),k15_euclid(2)) ) ) )).
fof(fc1_jgraph_3,axiom,( v1_funct_1(k1_jgraph_3) & v2_funct_1(k1_jgraph_3) & v1_funct_2(k1_jgraph_3,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) )).
fof(fc1_jgraph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k1_jgraph_4(A)) & v1_funct_2(k1_jgraph_4(A),u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_jgraph_4(A),k15_euclid(A),k3_topmetr) ) ) )).
fof(fc1_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => v2_compts_1(k5_jgraph_6(A,B,C),k15_euclid(2)) ) )).
fof(fc1_jgraph_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => v1_convex1(k2_jgraph_6(A,B,C,D),k15_euclid(2)) ) )).
fof(fc1_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_xreal_0(k1_metric_1(A,B,C)) & ~ v3_xxreal_0(k1_metric_1(A,B,C)) ) ) )).
fof(fc1_jordan1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_convex1(k4_topreal1(A),k15_euclid(2)) ) )).
fof(fc1_jordan10,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => v2_compts_1(k2_pre_topc(k15_euclid(2),k3_goboard9(k1_jordan9(A,B))),k15_euclid(2)) ) )).
fof(fc1_jordan14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v2_connsp_1(k1_jordan2c(2,k3_topreal1(2,A)),k15_euclid(2)) ) )).
fof(fc1_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k7_relat_1(k5_pscomp_1,k4_topreal1(A))) ) )).
fof(fc1_jordan1d,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => v1_abian(k1_newton(2,A)) ) )).
fof(fc1_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ~ v1_xboole_0(k1_jordan1e(A,B)) ) )).
fof(fc1_jordan1g,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_zfmisc_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k3_finseq_5(A)) & ~ v1_zfmisc_1(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) ) ) )).
fof(fc1_jordan1j,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k3_graph_2(A,B)) & ~ v1_xboole_0(k3_graph_2(A,B)) & v1_funct_1(k3_graph_2(A,B)) & v1_finseq_1(k3_graph_2(A,B)) ) ) )).
fof(fc1_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k9_jordan6(A)) & v1_jordan21(k9_jordan6(A)) ) ) )).
fof(fc1_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k8_jordan6(A)) & v2_connsp_1(k8_jordan6(A),k15_euclid(2)) ) ) )).
fof(fc1_jordan23,axiom,( ! [A] : v2_funct_1(k5_finseq_1(A)) )).
fof(fc1_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v6_rltopsp1(k15_euclid(A)) & v7_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc1_jordan5a,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v1_borsuk_2(k15_euclid(A)) ) ) )).
fof(fc1_jordan6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k9_jordan6(A)) & v2_compts_1(k9_jordan6(A),k15_euclid(2)) ) ) )).
fof(fc1_jordan8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ~ v3_relat_1(k1_jordan8(A,B)) & v1_matrix_0(k1_jordan8(A,B)) & v1_goboard1(k1_jordan8(A,B)) & v2_goboard1(k1_jordan8(A,B)) ) ) )).
fof(fc1_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) ) => ~ v1_xboole_0(k5_kolmog01(A,B,C,D)) ) )).
fof(fc1_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_finset_1(k1_kurato_1(A,B)) ) )).
fof(fc1_kurato_2,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => v4_pre_topc(k3_topreal1(2,A),k15_euclid(2)) ) )).
fof(fc1_lagra4sq,axiom,( ! [A] : ( v1_int_1(A) => ( v7_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A)) ) ) )).
fof(fc1_lang1,axiom,( ! [A] : ( ~ v2_struct_0(k6_lang1(A)) & v2_lang1(k6_lang1(A)) ) )).
fof(fc1_latsum_1,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k1_latsum_1(A,B)) & v1_orders_2(k1_latsum_1(A,B)) ) ) )).
fof(fc1_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => v1_partfun1(k1_lattad_1(A),u1_struct_0(A)) ) )).
fof(fc1_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) ) ) )).
fof(fc1_lattice3,axiom,( ! [A] : ( ~ v2_struct_0(k1_lattice3(A)) & v3_lattices(k1_lattice3(A)) ) )).
fof(fc1_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v1_xboole_0(k1_filter_0(A)) & v19_lattices(k1_filter_0(A),A) & v20_lattices(k1_filter_0(A),A) & v2_filter_0(k1_filter_0(A),A) ) ) )).
fof(fc1_lattice5,axiom,( ! [A] : ( v3_orders_2(k1_lattice5(A)) & v4_orders_2(k1_lattice5(A)) & v5_orders_2(k1_lattice5(A)) & v1_lattice3(k1_lattice5(A)) & v2_lattice3(k1_lattice5(A)) ) )).
fof(fc1_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A)) & v1_wellfnd1(k3_lattice3(A)) ) ) )).
fof(fc1_lattice7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_lattice7(A) ) => ( v1_orders_2(k1_yellow_1(A)) & v2_waybel_1(k1_yellow_1(A)) & v1_lattice3(k1_yellow_1(A)) & v2_lattice3(k1_yellow_1(A)) ) ) )).
fof(fc1_lattice8,axiom,( ! [A] : ~ v1_xboole_0(k1_lattice8(A)) )).
fof(fc1_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v1_xboole_0(k5_filter_2(A)) & v18_lattices(k5_filter_2(A),A) & v21_lattices(k5_filter_2(A),A) & v2_filter_2(k5_filter_2(A),A) ) ) )).
fof(fc1_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ~ v2_struct_0(g2_lattices(A,B)) & v2_lattices(g2_lattices(A,B)) ) ) )).
fof(fc1_lexbfs,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k4_bagorder(A),k15_pre_poly(A)) & v1_relat_2(k4_bagorder(A)) & v4_relat_2(k4_bagorder(A)) & v6_relat_2(k4_bagorder(A)) & v8_relat_2(k4_bagorder(A)) ) ) )).
fof(fc1_lfuzzy_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_membered(A) ) => ( ~ v2_struct_0(k1_lfuzzy_0(A)) & v1_orders_2(k1_lfuzzy_0(A)) & v1_lfuzzy_0(k1_lfuzzy_0(A)) ) ) )).
fof(fc1_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v5_relat_1(k4_fuzzy_4(A,A),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k4_fuzzy_4(A,A)) & v1_funct_2(k4_fuzzy_4(A,A),k2_zfmisc_1(A,A),k1_numbers) & v1_lfuzzy_1(k4_fuzzy_4(A,A),A) & v2_lfuzzy_1(k4_fuzzy_4(A,A),A) & v3_lfuzzy_1(k4_fuzzy_4(A,A),A) & v4_lfuzzy_1(k4_fuzzy_4(A,A),A) ) ) )).
fof(fc1_lmod_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ~ v1_xboole_0(k2_lmod_6(A,B,C,D)) ) )).
fof(fc1_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ~ v1_xboole_0(k7_lmod_7(A,B,C)) ) )).
fof(fc1_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_lopban_1(A,B)) & v13_algstr_0(k5_lopban_1(A,B)) & v1_rlvect_1(k5_lopban_1(A,B)) & v2_rlvect_1(k5_lopban_1(A,B)) & v3_rlvect_1(k5_lopban_1(A,B)) & v4_rlvect_1(k5_lopban_1(A,B)) & v5_rlvect_1(k5_lopban_1(A,B)) & v6_rlvect_1(k5_lopban_1(A,B)) & v7_rlvect_1(k5_lopban_1(A,B)) & v8_rlvect_1(k5_lopban_1(A,B)) ) ) )).
fof(fc1_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k7_lopban_2(A)) & v36_algstr_0(k7_lopban_2(A)) ) ) )).
fof(fc1_lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_lopban_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k3_normsp_0(A,B)) & v1_funct_2(k3_normsp_0(A,B),k4_ordinal1,k1_numbers) & v1_series_1(k3_normsp_0(A,B)) ) ) )).
fof(fc1_lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_lopban_4(A,B)) & v1_funct_2(k1_lopban_4(A,B),k4_ordinal1,u1_struct_0(A)) & v2_lopban_3(k1_lopban_4(A,B),A) ) ) )).
fof(fc1_lopban_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k2_normsp_2(A)) & v6_metric_1(k2_normsp_2(A)) & v7_metric_1(k2_normsp_2(A)) & v8_metric_1(k2_normsp_2(A)) & v9_metric_1(k2_normsp_2(A)) & v4_tbsp_1(k2_normsp_2(A)) ) ) )).
fof(fc1_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v1_xboole_0(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ v1_xboole_0(k3_lopban_7(A,B,C)) ) )).
fof(fc1_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k1_lopclset(A)) ) )).
fof(fc1_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k9_lpspacc1(A)) & v1_funct_2(k9_lpspacc1(A),k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & v1_binop_1(k9_lpspacc1(A),k3_rfunct_3(A,k2_numbers)) & v2_binop_1(k9_lpspacc1(A),k3_rfunct_3(A,k2_numbers)) ) ) )).
fof(fc1_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_lpspace1(A)) & v1_rlvect_1(k7_lpspace1(A)) & v2_rlvect_1(k7_lpspace1(A)) & v3_rlvect_1(k7_lpspace1(A)) & v4_rlvect_1(k7_lpspace1(A)) & v5_rlvect_1(k7_lpspace1(A)) & v6_rlvect_1(k7_lpspace1(A)) & v7_rlvect_1(k7_lpspace1(A)) & v8_rlvect_1(k7_lpspace1(A)) ) ) )).
fof(fc1_lpspace2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k54_valued_1(B)) & v1_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B)) & v6_supinf_2(k54_valued_1(B)) ) ) )).
fof(fc1_ltlaxio1,axiom,( v2_ltlaxio1(k13_ltlaxio1) )).
fof(fc1_ltlaxio2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_xboole_0(B) ) => v1_xboole_0(k1_funct_1(A,B)) ) )).
fof(fc1_ltlaxio3,axiom,( ! [A] : ~ v1_xboole_0(k1_ltlaxio3(A)) )).
fof(fc1_ltlaxio4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) => ~ v1_xboole_0(k3_ltlaxio4(A)) ) )).
fof(fc1_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) & m1_subset_1(D,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,k8_cqc_lang(A,C,D),k8_cqc_lang(A,B,D))),A) ) )).
fof(fc1_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_margrel1(A)) ) )).
fof(fc1_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))) & v1_finset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))) ) ) )).
fof(fc1_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => v1_setfam_1(k1_finseq_1(A)) ) )).
fof(fc1_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(C,k4_ordinal1) ) => v1_vectsp_4(k5_matrix15(A,B,k5_finseq_2(u1_struct_0(A),C,k4_struct_0(A))),A,k6_prvect_1(A,k1_matrix_0(B))) ) )).
fof(fc1_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_matrix_0(C) & v2_matrix_0(C,B,A,A) & m1_finseq_1(C,k3_finseq_2(B)) ) => ( v1_matrix_0(k4_matrix_0(B,C)) & v2_matrix_0(k4_matrix_0(B,C),B,A,A) ) ) )).
fof(fc1_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_0(k2_matrix_3(B,C)) & v2_matrix_0(k2_matrix_3(B,C),u1_struct_0(B),A,A) ) ) )).
fof(fc1_matrix_8,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ( v1_matrix_0(k3_matrix_1(B,A)) & v2_matrix_0(k3_matrix_1(B,A),u1_struct_0(B),A,A) & v1_matrix_8(k3_matrix_1(B,A),A,B) & v3_matrix_8(k3_matrix_1(B,A),A,B) ) ) )).
fof(fc1_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k4_relat_1(k2_finseq_1(A))) & v1_finseq_1(k4_relat_1(k2_finseq_1(A))) ) ) )).
fof(fc1_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_matrix_0(k4_matrixr2(A)) & v2_matrix_0(k4_matrixr2(A),k1_numbers,A,A) & v1_matrixr2(k4_matrixr2(A),A) ) ) )).
fof(fc1_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & m1_matrlin(D,A,B) & m1_finseq_1(E,u1_struct_0(C)) & v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(E)) & m1_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ( v1_funct_1(k4_matrlin2(A,B,C,D,E,F)) & v1_funct_2(k4_matrlin2(A,B,C,D,E,F),u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(k4_matrlin2(A,B,C,D,E,F),B,C) & v1_mod_2(k4_matrlin2(A,B,C,D,E,F),A,B,C) ) ) )).
fof(fc1_matroid0,axiom,( ! [A] : ( ( v1_matroid0(A) & l1_pre_topc(A) ) => v1_classes1(k1_matroid0(A)) ) )).
fof(fc1_matrprob,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v4_matrprob(A) & m1_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( ~ v1_xboole_0(k3_matrprob(A)) & v1_matrprob(k3_matrprob(A)) ) ) )).
fof(fc1_matrtop2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_prvect_1(B,A)))) ) => ( v7_vectsp_1(k1_vectsp_7(B,k6_prvect_1(B,A),C),B) & v1_matrlin(k1_vectsp_7(B,k6_prvect_1(B,A),C),B) ) ) )).
fof(fc1_matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_matrtop3(C,A) & v1_relat_1(D) & v1_funct_1(D) & v1_funcop_1(D) & v1_matrtop3(D,B) ) => ( v1_relat_1(k3_relat_1(D,C)) & v1_matrtop3(k3_relat_1(D,C),k2_xboole_0(A,B)) ) ) )).
fof(fc1_mazurulm,axiom,( v1_borsuk_1(k17_borsuk_1,k3_topmetr) )).
fof(fc1_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_mboolean(A,B)) & v2_relat_1(k1_mboolean(A,B)) & v4_relat_1(k1_mboolean(A,B),A) & v1_funct_1(k1_mboolean(A,B)) & v1_partfun1(k1_mboolean(A,B),A) ) ) )).
fof(fc1_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ v1_xboole_0(k7_setfam_1(A,B)) ) )).
fof(fc1_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k2_measure3(A,B,C)) & v1_prob_1(k2_measure3(A,B,C),A) & v3_measure1(k2_measure3(A,B,C),A) ) ) )).
fof(fc1_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( ~ v1_xboole_0(k1_measure4(A,B)) & v1_prob_1(k1_measure4(A,B),A) & v3_measure1(k1_measure4(A,B),A) ) ) )).
fof(fc1_measure6,axiom,( ~ v1_setfam_1(k1_numbers) )).
fof(fc1_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ~ v1_xboole_0(k8_measure7(A)) ) )).
fof(fc1_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v2_finsub_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v2_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ~ v1_xboole_0(k5_measure8(A,C,D,B)) ) )).
fof(fc1_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => v1_membered(k2_enumset1(A,B,C,D)) ) )).
fof(fc1_membered,axiom,( v1_membered(k2_numbers) )).
fof(fc1_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v13_struct_0(k1_memstr_0(A),1) & v1_memstr_0(k1_memstr_0(A),A) ) ) )).
fof(fc1_mesfun6c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v6_supinf_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( v1_funct_1(k2_mesfun6c(A,B,C)) & v6_supinf_2(k2_mesfun6c(A,B,C)) ) ) )).
fof(fc1_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k1_mesfunc5(A,B)) & v1_partfun1(k1_mesfunc5(A,B),A) ) ) )).
fof(fc1_mesfunc1,axiom,( ~ v1_xboole_0(k1_mesfunc1) )).
fof(fc1_mesfunc7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v1_funct_1(k9_mesfunc1(A,B)) & v6_supinf_2(k9_mesfunc1(A,B)) ) ) )).
fof(fc1_mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & v1_mesfunc8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) & v7_ordinal1(D) ) => ( v1_funct_1(k6_nat_1(C,D)) & v1_funct_2(k6_nat_1(C,D),k4_ordinal1,k4_partfun1(A,B)) & v1_mesfunc8(k6_nat_1(C,D),A,B) ) ) )).
fof(fc1_metric_1,axiom,( v1_relat_1(k7_funct_5) & v1_funct_1(k7_funct_5) & v4_valued_0(k7_funct_5) )).
fof(fc1_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ~ v1_xboole_0(k2_metric_2(A)) ) )).
fof(fc1_metric_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ~ v2_struct_0(g1_metric_1(A,B)) & v1_metric_1(g1_metric_1(A,B)) ) ) )).
fof(fc1_metrizts,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => v3_pcomps_1(k3_pcomps_1(A)) ) )).
fof(fc1_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => v2_mfold_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1),A) ) )).
fof(fc1_mfold_1,axiom,( ! [A] : ! [B] : v2_funct_1(k1_tarski(k4_tarski(A,B))) )).
fof(fc1_mfold_2,axiom,( v5_relat_1(k1_xboole_0,k1_xboole_0) )).
fof(fc1_midsp_1,axiom,( ~ v2_struct_0(k2_midsp_1) & v1_midsp_1(k2_midsp_1) )).
fof(fc1_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( v13_algstr_0(k15_midsp_1(A)) & v2_rlvect_1(k15_midsp_1(A)) & v3_rlvect_1(k15_midsp_1(A)) & v4_rlvect_1(k15_midsp_1(A)) ) ) )).
fof(fc1_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) ) => ( ~ v2_struct_0(g1_midsp_3(A,B,C,D)) & v1_midsp_3(g1_midsp_3(A,B,C,D),A) ) ) )).
fof(fc1_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_2(A) & v1_relat_1(B) & v1_relat_2(B) ) => ( v1_relat_1(k1_mmlquer2(A,B)) & v1_relat_2(k1_mmlquer2(A,B)) ) ) )).
fof(fc1_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => v1_mmlquery(k18_mmlquery(A,B),A) ) )).
fof(fc1_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ( v1_funct_1(k6_grcat_1(B,C)) & v1_funct_2(k6_grcat_1(B,C),u1_struct_0(B),u1_struct_0(C)) & v1_mod_2(k6_grcat_1(B,C),A,B,C) ) ) )).
fof(fc1_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) ) ) )).
fof(fc1_modal_1,axiom,( ~ v1_xboole_0(k3_modal_1) )).
fof(fc1_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ~ v1_xboole_0(k2_modcat_1(A,B)) ) )).
fof(fc1_modelc_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => v1_modelc_1(k6_modelc_1(A)) ) )).
fof(fc1_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => v1_modelc_2(k2_modelc_2(A)) ) )).
fof(fc1_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_finset_1(k13_modelc_2(A)) ) )).
fof(fc1_moebius1,axiom,( v1_xboole_0(k19_finseq_1(k1_xboole_0)) )).
fof(fc1_moebius2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( v7_ordinal1(k3_int_2(A,B)) & ~ v8_ordinal1(k3_int_2(A,B)) ) ) )).
fof(fc1_monoid_0,axiom,( ~ v2_struct_0(k2_monoid_0) & v15_algstr_0(k2_monoid_0) & v1_group_1(k2_monoid_0) & v3_group_1(k2_monoid_0) & v5_group_1(k2_monoid_0) & v13_monoid_0(k2_monoid_0) & v16_monoid_0(k2_monoid_0) )).
fof(fc1_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ~ v2_struct_0(k9_monoid_1(A,B)) ) )).
fof(fc1_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k2_card_3(B)) & v4_relat_1(k2_card_3(B),A) & v1_funct_1(k2_card_3(B)) ) ) )).
fof(fc1_msafree1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ v1_xboole_0(k10_xtuple_0(B)) ) )).
fof(fc1_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_msafree2(A) & l1_msualg_1(A) ) => ~ v1_xboole_0(k2_msafree2(A)) ) )).
fof(fc1_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_catalg_1(B,A) & l3_msualg_1(B,A) ) => ~ v1_xboole_0(k3_card_3(u3_msualg_1(A,B))) ) )).
fof(fc1_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,k1_msaterm(A,B)) & v1_funct_1(C) & v1_partfun1(C,k1_msaterm(A,B)) & m1_subset_1(D,u4_struct_0(A)) & m1_msaterm(E,A,B,k2_msaterm(A,B,D)) ) => ( v1_relat_1(k3_relat_1(E,C)) & v1_finseq_1(k3_relat_1(E,C)) ) ) )).
fof(fc1_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_finset_1(A) ) => v1_finset_1(k10_relat_1(A,B)) ) )).
fof(fc1_msaterm,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_msaterm(A,B)) ) )).
fof(fc1_msinst_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k1_msinst_1(A)) & v2_altcat_1(k1_msinst_1(A)) & v6_altcat_1(k1_msinst_1(A)) & v11_altcat_1(k1_msinst_1(A)) & v12_altcat_1(k1_msinst_1(A)) ) ) )).
fof(fc1_msscyc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) & ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ~ v1_xboole_0(k7_graph_2(A,B)) ) )).
fof(fc1_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ( v1_relat_1(k1_funct_6(B)) & v4_relat_1(k1_funct_6(B),A) & v1_funct_1(k1_funct_6(B)) ) ) )).
fof(fc1_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ( v7_struct_0(k6_msualg_1(A)) & ~ v11_struct_0(k6_msualg_1(A)) & v1_msualg_1(k6_msualg_1(A)) & v5_msualg_1(k6_msualg_1(A)) & v2_msualg_2(k6_msualg_1(A)) ) ) )).
fof(fc1_msualg_1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v4_msualg_1(B,A) & l2_msualg_1(B,A) ) => ( v1_relat_1(u3_msualg_1(A,B)) & v2_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) ) ) )).
fof(fc1_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k2_pboole(A,B,C)) & v2_relat_1(k2_pboole(A,B,C)) & v4_relat_1(k2_pboole(A,B,C),A) & v1_funct_1(k2_pboole(A,B,C)) & v1_partfun1(k2_pboole(A,B,C),A) ) ) )).
fof(fc1_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) ) => v4_funct_1(k3_msualg_1(A,C,B)) ) )).
fof(fc1_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k3_relat_1(B,C)) & v4_relat_1(k3_relat_1(B,C),k4_finseq_1(B)) & v1_funct_1(k3_relat_1(B,C)) ) ) )).
fof(fc1_msualg_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v3_lattices(k6_msualg_5(A,B)) & v15_lattices(k6_msualg_5(A,B)) ) ) )).
fof(fc1_msualg_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_relat_1(k4_relat_1(A)) & ~ v1_xboole_0(k4_relat_1(A)) ) ) )).
fof(fc1_msualg_7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ~ v2_struct_0(k5_msualg_5(A,B)) & v3_lattices(k5_msualg_5(A,B)) & v10_lattices(k5_msualg_5(A,B)) & v15_lattices(k5_msualg_5(A,B)) ) ) )).
fof(fc1_msualg_8,axiom,( ! [A] : ( ~ v2_struct_0(k2_msualg_5(A)) & v3_lattices(k2_msualg_5(A)) & v10_lattices(k2_msualg_5(A)) & v15_lattices(k2_msualg_5(A)) ) )).
fof(fc1_msualg_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v2_relat_1(k13_msafree(A,B)) & v1_msafree(k13_msafree(A,B),A,k11_msafree(A,B)) ) ) )).
fof(fc1_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => v1_finset_1(k1_mycielsk(A,B,C)) ) )).
fof(fc1_nagata_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_nagata_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => v1_nagata_1(k1_pcomps_1(A,B),A) ) )).
fof(fc1_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k2_xcmplx_0(A,B)) ) )).
fof(fc1_nat_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) ) => ~ v8_ordinal1(k1_newton(A,B)) ) )).
fof(fc1_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v7_ordinal1(k2_uproots(C,k1_nat_5(A,B,C))) & v1_xreal_0(k2_uproots(C,k1_nat_5(A,B,C))) ) ) )).
fof(fc1_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) ) => v7_ordinal1(k6_xcmplx_0(A,1)) ) )).
fof(fc1_nat_lat,axiom,( v6_membered(u1_struct_0(k3_nat_lat)) )).
fof(fc1_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( v1_funct_1(k2_funcop_1(k1_numbers,k5_euclid(A))) & v1_funct_2(k2_funcop_1(k1_numbers,k5_euclid(A)),k1_numbers,k1_euclid(A)) & v1_ndiff_4(k2_funcop_1(k1_numbers,k5_euclid(A)),A) ) ) )).
fof(fc1_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ( ~ v2_struct_0(k14_prvect_2(A)) & v1_normsp_1(k14_prvect_2(A)) & v2_monoid_0(k14_prvect_2(A)) ) ) )).
fof(fc1_ndiff_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_funct_1(k3_ndiff_7(A,B)) & v2_funct_1(k3_ndiff_7(A,B)) & v1_funct_2(k3_ndiff_7(A,B),u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v2_funct_2(k3_ndiff_7(A,B),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v13_vectsp_1(k3_ndiff_7(A,B),k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_lopban_1(k3_ndiff_7(A,B),k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_mazurulm(k3_ndiff_7(A,B),k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) ) ) )).
fof(fc1_neckla_2,axiom,( ~ v1_xboole_0(k3_neckla_2) )).
fof(fc1_neckla_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & l1_orders_2(B) ) => ( ~ v2_struct_0(k1_neckla_2(A,B)) & v1_orders_2(k1_neckla_2(A,B)) ) ) )).
fof(fc1_net_1,axiom,( ! [A] : ( l1_petri(A) => v1_relat_1(k1_net_1(A)) ) )).
fof(fc1_newton,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k2_finseq_2(B,A)) & v1_funct_1(k2_finseq_2(B,A)) & v1_finseq_1(k2_finseq_2(B,A)) & v1_valued_0(k2_finseq_2(B,A)) ) ) )).
fof(fc1_newton01,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) & v1_abian(B) ) => v1_abian(k6_xcmplx_0(A,B)) ) )).
fof(fc1_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k5_relat_1(B,C)) & v1_nfcont_3(k5_relat_1(B,C),A) ) ) )).
fof(fc1_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v1_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_funct_1(k5_relat_1(B,C)) & v1_nfcont_4(k5_relat_1(B,C),A) ) ) )).
fof(fc1_normform,axiom,( ! [A] : ( v1_funct_1(k5_normform(A)) & v1_funct_2(k5_normform(A),k2_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & v1_binop_1(k5_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & v2_binop_1(k5_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & v3_binop_1(k5_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) ) )).
fof(fc1_normsp_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) ) => ( v1_relat_1(k3_normsp_0(A,B)) & v5_relat_1(k3_normsp_0(A,B),k1_numbers) & v1_funct_1(k3_normsp_0(A,B)) ) ) )).
fof(fc1_normsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v3_xxreal_0(k2_normsp_0(A,B)) & v1_xreal_0(k2_normsp_0(A,B)) ) ) )).
fof(fc1_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k3_normsp_2(A)) & v2_pre_topc(k3_normsp_2(A)) & v4_frechet(k3_normsp_2(A)) ) ) )).
fof(fc1_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v2_nfcont_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_nfcont_1(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc1_numbers,axiom,( ~ v1_xboole_0(k1_numbers) )).
fof(fc1_numeral2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k9_xtuple_0(A),k9_xtuple_0(A)) & v3_funct_2(B,k9_xtuple_0(A),k9_xtuple_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(A)))) ) => ( v1_relat_1(k3_relat_1(B,A)) & v5_ordinal1(k3_relat_1(B,A)) ) ) )).
fof(fc1_numpoly1,axiom,( ! [A] : ( v1_int_1(A) => v1_abian(k3_xcmplx_0(A,k6_xcmplx_0(A,1))) ) )).
fof(fc1_openlatt,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k1_openlatt(A)) ) )).
fof(fc1_oposet_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ~ v2_struct_0(g2_qmax_1(A,B,C)) & v3_qmax_1(g2_qmax_1(A,B,C)) ) ) )).
fof(fc1_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( ~ v2_struct_0(k2_oppcat_1(A)) & ~ v11_struct_0(k2_oppcat_1(A)) & v1_cat_1(k2_oppcat_1(A)) & v2_cat_1(k2_oppcat_1(A)) & v3_cat_1(k2_oppcat_1(A)) & v4_cat_1(k2_oppcat_1(A)) & v5_cat_1(k2_oppcat_1(A)) & v6_cat_1(k2_oppcat_1(A)) ) ) )).
fof(fc1_ordeq_01,axiom,( ! [A] : v1_ordeq_01(k1_tarski(k4_tarski(A,A))) )).
fof(fc1_orders_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k1_orders_1(A)) ) )).
fof(fc1_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ~ v2_struct_0(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)) ) ) )).
fof(fc1_orders_3,axiom,( v2_struct_0(g1_orders_2(k1_xboole_0,k6_partfun1(k1_xboole_0))) & v1_orders_2(g1_orders_2(k1_xboole_0,k6_partfun1(k1_xboole_0))) )).
fof(fc1_ordinal1,axiom,( ! [A] : ~ v1_xboole_0(k1_ordinal1(A)) )).
fof(fc1_ordinal2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) & v3_ordinal1(B) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_ordinal2(k5_relat_1(A,B)) ) ) )).
fof(fc1_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k2_xboole_0(A,B)) ) )).
fof(fc1_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => v3_ordinal1(k1_ordinal2(A)) ) )).
fof(fc1_ordinal5,axiom,( v4_ordinal1(k4_ordinal1) )).
fof(fc1_ordinal6,axiom,( ! [A] : v1_ordinal6(k2_ordinal1(A)) )).
fof(fc1_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k2_osafree(A,B)) & v1_lang1(k2_osafree(A,B)) ) ) )).
fof(fc1_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_finseq_1(C,A) ) => ( v1_relat_1(k3_relat_1(C,B)) & v1_finseq_1(k3_relat_1(C,B)) ) ) )).
fof(fc1_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & m2_osalg_2(C,A,B) ) => ~ v1_xboole_0(k5_osalg_2(A,B,C)) ) )).
fof(fc1_osalg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v11_osalg_1(B,A) ) => v1_osalg_3(k2_msualg_3(u1_struct_0(A),B),A) ) )).
fof(fc1_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ~ v1_xboole_0(k6_osalg_4(A,B,C,D)) ) )).
fof(fc1_papdesaf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ( ~ v7_struct_0(k2_diraf(A)) & v1_analoaf(k2_diraf(A)) & v1_diraf(k2_diraf(A)) ) ) )).
fof(fc1_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ~ v1_xboole_0(k5_parsp_1(A)) ) )).
fof(fc1_partfun1,axiom,( ! [A] : ! [B] : ~ v1_xboole_0(k4_partfun1(A,B)) )).
fof(fc1_partfun3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v3_xxreal_0(k7_xcmplx_0(A,A)) ) )).
fof(fc1_partfun4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_pscomp_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_pscomp_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_funct_1(k1_valued_1(B,C)) & v1_funct_2(k1_valued_1(B,C),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k1_valued_1(B,C),A) ) ) )).
fof(fc1_partit1,axiom,( ! [A] : ~ v1_xboole_0(k1_partit1(A)) )).
fof(fc1_partit_2,axiom,( ! [A] : ! [B] : v1_xboole_0(k1_partit_2(A,B)) )).
fof(fc1_pboole,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( v1_relat_1(k3_relat_1(C,D)) & v4_relat_1(k3_relat_1(C,D),A) & v1_funct_1(k3_relat_1(C,D)) & v1_partfun1(k3_relat_1(C,D),A) ) ) )).
fof(fc1_pcomps_1,axiom,( ! [A] : ( l1_metric_1(A) => ( v1_pre_topc(k3_pcomps_1(A)) & v2_pre_topc(k3_pcomps_1(A)) ) ) )).
fof(fc1_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v1_partfun1(k2_xboole_0(C,D),k2_xboole_0(A,B)) ) )).
fof(fc1_pdiff_1,axiom,( v1_funct_1(k1_pdiff_1(1,1)) & v1_funct_2(k1_pdiff_1(1,1),k1_euclid(1),k1_numbers) & v3_funct_2(k1_pdiff_1(1,1),k1_euclid(1),k1_numbers) )).
fof(fc1_pdiff_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v1_funct_1(k2_funcop_1(k1_euclid(B),k5_euclid(A))) & v1_funct_2(k2_funcop_1(k1_euclid(B),k5_euclid(A)),k1_euclid(B),k1_euclid(A)) & v1_pdiff_6(k2_funcop_1(k1_euclid(B),k5_euclid(A)),A,B) & v2_pdiff_6(k2_funcop_1(k1_euclid(B),k5_euclid(A)),A,B) ) ) )).
fof(fc1_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) & v7_ordinal1(B) & v1_xreal_0(C) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v3_valued_0(k1_funct_7(A,B,C)) ) ) )).
fof(fc1_pencil_1,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(u1_pre_topc(A)) ) )).
fof(fc1_pepin,axiom,( ! [A] : ( v1_int_1(A) => v7_ordinal1(k1_square_1(A)) ) )).
fof(fc1_petri_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) ) => ( ~ v1_xboole_0(u1_petri_2(A)) & ~ v1_zfmisc_1(u1_petri_2(A)) & v1_finset_1(u1_petri_2(A)) ) ) )).
fof(fc1_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => v1_finseq_6(k11_finseq_1(B,C,B),A) ) )).
fof(fc1_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_pnproc_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(B))) ) => ~ v1_xboole_0(k10_pnproc_1(A,B,C,D)) ) )).
fof(fc1_polyeq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_xcmplx_0(k1_polyeq_1(A,B,C)) ) )).
fof(fc1_polyeq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) & v1_xcmplx_0(E) & v1_xcmplx_0(F) ) => v1_xcmplx_0(k1_polyeq_2(A,B,C,D,E,F)) ) )).
fof(fc1_polyeq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) & v1_xcmplx_0(E) & v1_xcmplx_0(F) & v1_xcmplx_0(G) ) => v1_xcmplx_0(k1_polyeq_4(A,B,C,D,E,F,G)) ) )).
fof(fc1_polyform,axiom,( ! [A] : ! [B] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) & v1_int_1(B) ) => ( v1_funct_1(k18_polyform(A,B)) & v1_funct_2(k18_polyform(A,B),u1_struct_0(k14_polyform(A,B)),u1_struct_0(k14_polyform(A,k6_xcmplx_0(B,1)))) & v13_vectsp_1(k18_polyform(A,B),k14_polyform(A,B),k14_polyform(A,k6_xcmplx_0(B,1))) & v1_mod_2(k18_polyform(A,B),k2_bspace,k14_polyform(A,B),k14_polyform(A,k6_xcmplx_0(B,1))) ) ) )).
fof(fc1_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k5_polynom1(A,B,C,D)) & v1_funct_2(k5_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k5_polynom1(A,B,C,D),B) ) ) )).
fof(fc1_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k7_polynom1(A,B,C,D)) & v1_funct_2(k7_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k7_polynom1(A,B,C,D),B) ) ) )).
fof(fc1_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_partfun1(k5_polynom3(A),k4_finseq_2(A,k4_ordinal1)) & v1_relat_2(k5_polynom3(A)) & v4_relat_2(k5_polynom3(A)) & v8_relat_2(k5_polynom3(A)) & v3_orders_1(k5_polynom3(A)) ) ) )).
fof(fc1_polynom4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_polynom4(A,B)) & v1_funct_2(k1_polynom4(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k1_polynom4(A,B),A) ) ) )).
fof(fc1_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( v1_funct_1(k3_polynom5(A,B,C)) & v1_funct_2(k3_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k3_polynom5(A,B,C),A) ) ) )).
fof(fc1_polynom6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) ) => ( v3_ordinal1(k10_ordinal2(A,B)) & ~ v1_xboole_0(k10_ordinal2(A,B)) ) ) )).
fof(fc1_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ( v1_funct_1(k8_polynom1(A,B)) & v1_funct_2(k8_polynom1(A,B),k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(k8_polynom1(A,B),A,B) ) ) )).
fof(fc1_polynom8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k4_lopban_3(A,B,C)) & v1_funct_2(k4_lopban_3(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k4_lopban_3(A,B,C),A) ) ) )).
fof(fc1_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_2(B) & v1_algstr_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(C,A,B) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(D,A,B) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k10_polynom1(A,B,C,D)) & v1_funct_2(k10_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(k10_polynom1(A,B,C,D),A,B) ) ) )).
fof(fc1_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => v1_relat_2(k5_poset_1(A,B)) ) )).
fof(fc1_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & v5_orders_3(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( v1_funct_1(k13_funct_3(D,E)) & v1_funct_2(k13_funct_3(D,E),u1_struct_0(A),u1_struct_0(k3_yellow_3(B,C))) & v5_orders_3(k13_funct_3(D,E),A,k3_yellow_3(B,C)) ) ) )).
fof(fc1_pralg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k7_pralg_1(A)) & ~ v1_xboole_0(k7_pralg_1(A)) & v2_margrel1(k7_pralg_1(A)) & v3_margrel1(k7_pralg_1(A),k1_tarski(k1_xboole_0)) ) ) )).
fof(fc1_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k6_pboole(A,B,C)) & v2_relat_1(k6_pboole(A,B,C)) & v4_relat_1(k6_pboole(A,B,C),A) & v1_funct_1(k6_pboole(A,B,C)) & v1_partfun1(k6_pboole(A,B,C),A) ) ) )).
fof(fc1_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => v4_msualg_1(k14_pralg_2(A,B,C),B) ) )).
fof(fc1_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_relat_1(k5_relat_1(B,C)) & v4_relat_1(k5_relat_1(B,C),C) & v1_funct_1(k5_relat_1(B,C)) & v1_partfun1(k5_relat_1(B,C),C) ) ) )).
fof(fc1_pre_poly,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k1_finseq_1(k1_nat_1(A,1))) ) )).
fof(fc1_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(u1_pre_topc(A)) ) )).
fof(fc1_prefer_1,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_partfun1(k1_prefer_1(A,B),A) ) )).
fof(fc1_prepower,axiom,( ! [A] : ( v1_int_1(A) => ( v7_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A)) ) ) )).
fof(fc1_prob_1,axiom,( ! [A] : v2_finsub_1(k1_zfmisc_1(A)) )).
fof(fc1_prob_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k2_prob_1(A,C),B) & v1_funct_1(k2_prob_1(A,C)) & v1_funct_2(k2_prob_1(A,C),k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(fc1_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k3_prob_3(A,B)) & v1_funct_2(k3_prob_3(A,B),k4_ordinal1,k9_setfam_1(A)) & v1_prob_2(k3_prob_3(A,B)) ) ) )).
fof(fc1_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ( ~ v1_xboole_0(k4_prob_4(A,B,C)) & v1_prob_1(k4_prob_4(A,B,C),A) & v4_prob_1(k4_prob_4(A,B,C),A) ) ) )).
fof(fc1_prvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v7_ordinal1(B) ) => ( ~ v2_struct_0(k4_prvect_1(A,B)) & v8_algstr_0(k4_prvect_1(A,B)) & v13_algstr_0(k4_prvect_1(A,B)) & v2_rlvect_1(k4_prvect_1(A,B)) & v3_rlvect_1(k4_prvect_1(A,B)) & v4_rlvect_1(k4_prvect_1(A,B)) ) ) )).
fof(fc1_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ( ~ v2_struct_0(k10_prvect_2(A)) & v13_algstr_0(k10_prvect_2(A)) & v1_rlvect_1(k10_prvect_2(A)) & v2_rlvect_1(k10_prvect_2(A)) & v3_rlvect_1(k10_prvect_2(A)) & v4_rlvect_1(k10_prvect_2(A)) & v5_rlvect_1(k10_prvect_2(A)) & v6_rlvect_1(k10_prvect_2(A)) & v7_rlvect_1(k10_prvect_2(A)) & v8_rlvect_1(k10_prvect_2(A)) ) ) )).
fof(fc1_prvect_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v2_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v2_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc1_pscomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_pscomp_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_funct_1(k5_relat_1(B,C)) & v1_funct_2(k5_relat_1(B,C),u1_struct_0(k1_pre_topc(A,C)),k1_numbers) & v1_pscomp_1(k5_relat_1(B,C),k1_pre_topc(A,C)) ) ) )).
fof(fc1_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_partfun1(k6_pua2mss1(A),u1_struct_0(A)) & v3_relat_2(k6_pua2mss1(A)) & v8_relat_2(k6_pua2mss1(A)) ) ) )).
fof(fc1_pythtrip,axiom,( ! [A] : ( v7_ordinal1(A) => v1_pythtrip(k1_square_1(A)) ) )).
fof(fc1_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_pzfmisc1(A,B)) & v2_relat_1(k1_pzfmisc1(A,B)) & v4_relat_1(k1_pzfmisc1(A,B),A) & v1_funct_1(k1_pzfmisc1(A,B)) & v1_partfun1(k1_pzfmisc1(A,B),A) & v2_finset_1(k1_pzfmisc1(A,B)) ) ) )).
fof(fc1_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k1_qc_lang1(A)) ) )).
fof(fc1_qc_trans,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => v1_finset_1(k6_goedelcp(A,B)) ) )).
fof(fc1_qmax_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ v1_xboole_0(k1_qmax_1(A,B)) ) )).
fof(fc1_quatern2,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => v1_quaterni(k4_quatern2(A,B)) ) )).
fof(fc1_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => v1_quaterni(k1_quatern3(A)) ) )).
fof(fc1_quaterni,axiom,( ~ v1_xboole_0(k1_quaterni) )).
fof(fc1_quin_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => v1_xcmplx_0(k1_quin_1(A,B,C)) ) )).
fof(fc1_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) ) => ~ v1_xboole_0(k1_quofield(A)) ) )).
fof(fc1_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k2_radix_1(A)) ) )).
fof(fc1_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k1_radix_3(A)) ) )).
fof(fc1_ramsey_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_finset_1(B) ) => ~ v1_xboole_0(k3_group_10(B,A)) ) )).
fof(fc1_random_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) ) => ( v1_relat_1(k54_valued_1(C)) & v1_funct_1(k54_valued_1(C)) & v3_valued_0(k54_valued_1(C)) & v6_supinf_2(k54_valued_1(C)) ) ) )).
fof(fc1_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(E) & v1_funct_2(E,C,k6_numbers) & v10_valued_0(E) & v6_supinf_2(E) & v4_measure1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k1_random_3(A,B,C,D,E,F)) & v1_funct_2(k1_random_3(A,B,C,D,E,F),D,k6_numbers) & v10_valued_0(k1_random_3(A,B,C,D,E,F)) & v6_supinf_2(k1_random_3(A,B,C,D,E,F)) & v2_measure1(k1_random_3(A,B,C,D,E,F),B,D) & v4_measure1(k1_random_3(A,B,C,D,E,F),B,D) ) ) )).
fof(fc1_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => v1_finset_1(k7_relat_1(C,D)) ) )).
fof(fc1_rat_1,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_rat_1(B) ) => v1_rat_1(k3_xcmplx_0(A,B)) ) )).
fof(fc1_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) & ~ v9_struct_0(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v9_struct_0(k12_algstr_0(A,B,C),A) ) )).
fof(fc1_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v3_rcomp_1(k4_xxreal_1(A,B)) ) )).
fof(fc1_rcomp_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_subset_1(A)) ) )).
fof(fc1_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v8_ordinal1(k4_int_1(A,k5_numbers)) & v1_int_1(k4_int_1(A,k5_numbers)) ) ) )).
fof(fc1_real_lat,axiom,( v3_membered(u1_struct_0(k3_real_lat)) )).
fof(fc1_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k1_real_ns1(A)) & v1_funct_2(k1_real_ns1(A),k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)) & v1_binop_1(k1_real_ns1(A),k1_euclid(A)) & v2_binop_1(k1_real_ns1(A),k1_euclid(A)) ) ) )).
fof(fc1_realset1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => v1_relat_1(k1_realset1(A,B)) ) )).
fof(fc1_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => v1_relat_1(k3_xboole_0(A,B)) ) )).
fof(fc1_relat_2,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v3_relat_2(k4_relat_1(A)) & v4_relat_2(k4_relat_1(A)) & v8_relat_2(k4_relat_1(A)) ) )).
fof(fc1_reloc,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_compos_0(k2_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(fc1_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) ) => v4_relat_1(k2_xboole_0(B,C),A) ) )).
fof(fc1_revrot_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & m1_subset_1(B,A) & ~ v3_funct_1(C) & v1_finseq_6(C,A) & m1_finseq_1(C,A) ) => ~ v3_funct_1(k1_finseq_6(A,C,B)) ) )).
fof(fc1_rewrite2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => v1_rewrite2(k5_finseq_1(A)) ) )).
fof(fc1_rfinseq,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v1_finset_1(k10_relat_1(A,B)) ) )).
fof(fc1_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k1_rfunct_1(A,B)) & v1_funct_1(k1_rfunct_1(A,B)) & v1_valued_0(k1_rfunct_1(A,B)) ) ) )).
fof(fc1_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) ) => ( v1_relat_1(k5_relat_1(B,A)) & v2_funct_1(k5_relat_1(B,A)) ) ) )).
fof(fc1_rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k18_rfunct_3(A,B)) & v1_finset_1(k18_rfunct_3(A,B)) ) ) )).
fof(fc1_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v1_funct_1(k4_rinfsup2(A)) & v1_funct_2(k4_rinfsup2(A),k4_ordinal1,k6_numbers) & v8_valued_0(k4_rinfsup2(A)) ) ) )).
fof(fc1_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => v1_ideal_1(k2_struct_0(A),A) ) )).
fof(fc1_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v1_relat_1(k7_finseq_1(B,C)) & v5_relat_1(k7_finseq_1(B,C),A) & v1_funct_1(k7_finseq_1(B,C)) & v1_finseq_1(k7_finseq_1(B,C)) ) ) )).
fof(fc1_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v1_ringcat1(k3_struct_0(A),A,A) ) ) )).
fof(fc1_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_xboole_0(k3_convex1(A,B)) & v1_convex1(k3_convex1(A,B),A) ) ) )).
fof(fc1_rlaffin2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k1_rlaffin2(A,B)) ) )).
fof(fc1_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v6_rltopsp1(k15_euclid(A)) & v7_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc1_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ~ v1_xboole_0(k3_rlsub_2(A)) ) )).
fof(fc1_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_xboole_0(k3_convex1(A,B)) & v1_convex1(k3_convex1(A,B),A) ) ) )).
fof(fc1_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) ) => ( ~ v2_struct_0(g1_rlvect_1(A,B,C,D)) & v1_rlvect_1(g1_rlvect_1(A,B,C,D)) ) ) )).
fof(fc1_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) ) => v1_finset_1(k13_pre_poly(B)) ) )).
fof(fc1_rmod_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ~ v1_xboole_0(k3_rmod_3(A,B)) ) )).
fof(fc1_robbins3,axiom,( v13_struct_0(k1_robbins3,1) )).
fof(fc1_robbins4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v3_lattices(g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))) & v10_lattices(g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))) ) ) )).
fof(fc1_roughs_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k9_relat_1(u1_orders_2(A),B)) ) )).
fof(fc1_rsspace,axiom,( ~ v2_struct_0(k4_rsspace) & v1_rlvect_1(k4_rsspace) )).
fof(fc1_rsspace3,axiom,( ~ v1_xboole_0(k1_rsspace3) )).
fof(fc1_rsspace4,axiom,( ~ v1_xboole_0(k1_rsspace4) )).
fof(fc1_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ~ v1_xboole_0(k3_rusub_2(A)) ) )).
fof(fc1_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => v2_pre_topc(k5_rusub_5(A)) ) )).
fof(fc1_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,A))) & v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => ( v1_relat_1(k3_relat_1(C,B)) & v1_finseq_1(k3_relat_1(C,B)) ) ) )).
fof(fc1_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_numbers,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k3_relat_1(C,B)) & v1_finseq_1(k3_relat_1(C,B)) ) ) )).
fof(fc1_rvsum_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k5_relat_1(A,k2_finseq_1(B))) & v3_valued_0(k5_relat_1(A,k2_finseq_1(B))) ) ) )).
fof(fc1_scm_1,axiom,( ! [A] : ( v1_int_1(A) => v5_relat_1(k3_afinsq_1(A),k4_numbers) ) )).
fof(fc1_scm_comp,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) & m1_subset_1(B,k6_dtconstr(k1_scm_comp)) ) => v1_int_1(k1_funct_1(A,B)) ) )).
fof(fc1_scm_halt,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(A) & v2_scm_halt(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(B) ) => ( ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v1_scm_halt(k2_scmfsa6a(A,B)) ) ) )).
fof(fc1_scm_inst,axiom,( ~ v1_xboole_0(k2_scm_inst) )).
fof(fc1_scmbsort,axiom,( v1_relat_1(k2_scmbsort) & v4_relat_1(k2_scmbsort,k4_ordinal1) & v5_relat_1(k2_scmbsort,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmbsort) & ~ v1_xboole_0(k2_scmbsort) & v1_finset_1(k2_scmbsort) & v1_afinsq_1(k2_scmbsort) & v3_compos_1(k2_scmbsort,k1_scmfsa_2) )).
fof(fc1_scmfsa10,axiom,( v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k2_compos_1(k1_scmfsa_2))) )).
fof(fc1_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_relat_1(k1_scmfsa6a(A)) & v4_relat_1(k1_scmfsa6a(A),k4_ordinal1) & v5_relat_1(k1_scmfsa6a(A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_scmfsa6a(A)) & v1_funct_1(k1_scmfsa6a(A)) & v1_finset_1(k1_scmfsa6a(A)) & v1_afinsq_1(k1_scmfsa6a(A)) ) ) )).
fof(fc1_scmfsa6b,axiom,( v1_relat_1(k4_compos_1(k1_scmfsa_2)) & v4_relat_1(k4_compos_1(k1_scmfsa_2),k4_ordinal1) & v5_relat_1(k4_compos_1(k1_scmfsa_2),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_compos_1(k1_scmfsa_2)) & v1_finset_1(k4_compos_1(k1_scmfsa_2)) & v6_amistd_1(k4_compos_1(k1_scmfsa_2),k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(k4_compos_1(k1_scmfsa_2)) )).
fof(fc1_scmfsa6c,axiom,( v1_scmfsa6c(k2_compos_1(k1_scmfsa_2)) )).
fof(fc1_scmfsa7b,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_int_1(B) ) => ( v1_relat_1(k1_scmfsa_7(A,B)) & v4_relat_1(k1_scmfsa_7(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_scmfsa_7(A,B)) & v1_funct_1(k1_scmfsa_7(A,B)) & v1_finset_1(k1_scmfsa_7(A,B)) & v1_afinsq_1(k1_scmfsa_7(A,B)) ) ) )).
fof(fc1_scmfsa8a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scmfsa7b(A) ) => ( v1_relat_1(k1_scmfsa6a(A)) & v4_relat_1(k1_scmfsa6a(A),k4_ordinal1) & v5_relat_1(k1_scmfsa6a(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6a(A)) & v1_finset_1(k1_scmfsa6a(A)) & v1_scmfsa7b(k1_scmfsa6a(A)) ) ) )).
fof(fc1_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k1_scmfsa8b(C,A,B)) & v1_relat_1(k1_scmfsa8b(C,A,B)) & v4_relat_1(k1_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8b(C,A,B)) & v1_finset_1(k1_scmfsa8b(C,A,B)) & v1_afinsq_1(k1_scmfsa8b(C,A,B)) & v5_amistd_1(k1_scmfsa8b(C,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc1_scmfsa8c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k1_scmfsa8c(A,B)) & v1_relat_1(k1_scmfsa8c(A,B)) & v4_relat_1(k1_scmfsa8c(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa8c(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8c(A,B)) & v1_finset_1(k1_scmfsa8c(A,B)) & v1_afinsq_1(k1_scmfsa8c(A,B)) & v3_compos_1(k1_scmfsa8c(A,B),k1_scmfsa_2) & v4_compos_1(k1_scmfsa8c(A,B),k1_scmfsa_2) ) ) )).
fof(fc1_scmfsa_1,axiom,( ~ v1_xboole_0(k1_scmfsa_1) )).
fof(fc1_scmfsa_2,axiom,( ~ v2_struct_0(k1_scmfsa_2) & v2_memstr_0(k1_scmfsa_2,k5_card_1(3)) & v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc1_scmfsa_3,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v3_amistd_5(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc1_scmfsa_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_compos_0(k6_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc1_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v1_scmfsa7b(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k1_scmfsa8b(C,A,B)) & v4_relat_1(k1_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_scmfsa8b(C,A,B)) & v1_funct_1(k1_scmfsa8b(C,A,B)) & v1_finset_1(k1_scmfsa8b(C,A,B)) & v1_afinsq_1(k1_scmfsa8b(C,A,B)) & v1_scmfsa7b(k1_scmfsa8b(C,A,B)) ) ) )).
fof(fc1_scmfsa_i,axiom,( ~ v1_xboole_0(k1_scmfsa_i) )).
fof(fc1_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_1(B) ) => v5_funct_1(k17_funcop_1(k4_scmfsa_2(A),B),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) )).
fof(fc1_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k3_scmfsa_x(B,A)) & v4_relat_1(k3_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k3_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k3_scmfsa_x(B,A)) & v1_funct_1(k3_scmfsa_x(B,A)) & v1_finset_1(k3_scmfsa_x(B,A)) & v1_afinsq_1(k3_scmfsa_x(B,A)) & v3_compos_1(k3_scmfsa_x(B,A),k1_scmfsa_2) & v4_compos_1(k3_scmfsa_x(B,A),k1_scmfsa_2) ) ) )).
fof(fc1_scmisort,axiom,( ~ v1_xboole_0(k3_scmisort) & v1_relat_1(k3_scmisort) & v4_relat_1(k3_scmisort,k4_ordinal1) & v5_relat_1(k3_scmisort,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmisort) & v1_finset_1(k3_scmisort) & v1_afinsq_1(k3_scmisort) & ~ v2_compos_1(k3_scmisort,k1_scmfsa_2) )).
fof(fc1_scmpds_2,axiom,( ~ v2_struct_0(k1_scmpds_2) & v1_extpro_1(k1_scmpds_2,k5_card_1(2)) )).
fof(fc1_scmpds_3,axiom,( v1_extpro_1(k1_scmpds_2,k5_card_1(2)) & v3_amistd_5(k1_scmpds_2,k5_card_1(2)) )).
fof(fc1_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => v4_scmpds_4(k5_scmpds_2(A,B)) ) )).
fof(fc1_scmpds_5,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => v6_compos_0(k4_scmpds_2(A),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc1_scmpds_6,axiom,( ! [A] : ( v7_ordinal1(A) => v6_compos_0(k3_scmpds_2(k1_nat_1(A,1)),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc1_scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( ~ v1_xboole_0(k1_scmpds_8(B,C,A)) & v1_relat_1(k1_scmpds_8(B,C,A)) & v4_relat_1(k1_scmpds_8(B,C,A),k4_ordinal1) & v5_relat_1(k1_scmpds_8(B,C,A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k1_scmpds_8(B,C,A)) & v1_finset_1(k1_scmpds_8(B,C,A)) & v1_afinsq_1(k1_scmpds_8(B,C,A)) & v3_scmpds_4(k1_scmpds_8(B,C,A)) ) ) )).
fof(fc1_scmpds_9,axiom,( ! [A] : ( v1_int_1(A) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmpds_2,k3_scmpds_2(A))) ) )).
fof(fc1_scmpds_i,axiom,( ~ v1_xboole_0(k1_scmpds_i) )).
fof(fc1_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ( v1_relat_1(k3_relat_1(k3_ami_2,k1_scmring1(A))) & v2_relat_1(k3_relat_1(k3_ami_2,k1_scmring1(A))) ) ) )).
fof(fc1_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_scmring2(A)) & v1_extpro_1(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc1_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k2_compos_1(k1_scmring2(A)))) ) )).
fof(fc1_scmring4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & v2_amistd_5(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc1_scmyciel,axiom,( v1_xboole_0(k3_tarski(k1_tarski(k1_xboole_0))) )).
fof(fc1_scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( ~ v1_xboole_0(k3_scpinvar(B,C,A)) & v1_relat_1(k3_scpinvar(B,C,A)) & v4_relat_1(k3_scpinvar(B,C,A),k4_ordinal1) & v5_relat_1(k3_scpinvar(B,C,A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k3_scpinvar(B,C,A)) & v1_finset_1(k3_scpinvar(B,C,A)) & v1_afinsq_1(k3_scpinvar(B,C,A)) & v3_scmpds_4(k3_scpinvar(B,C,A)) ) ) )).
fof(fc1_scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( v1_relat_1(k3_scmpds_6(C,D,A,B)) & v4_relat_1(k3_scmpds_6(C,D,A,B),k4_ordinal1) & v5_relat_1(k3_scmpds_6(C,D,A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_6(C,D,A,B)) & v1_funct_1(k3_scmpds_6(C,D,A,B)) & v1_finset_1(k3_scmpds_6(C,D,A,B)) & v1_afinsq_1(k3_scmpds_6(C,D,A,B)) & v3_scmpds_4(k3_scmpds_6(C,D,A,B)) ) ) )).
fof(fc1_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_seq_1(A)) & v3_funct_1(k1_seq_1(A)) & v1_funct_2(k1_seq_1(A),k4_ordinal1,k1_numbers) ) ) )).
fof(fc1_seq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k1_valued_1(A,B)) & v1_funct_2(k1_valued_1(A,B),k4_ordinal1,k1_numbers) & v2_comseq_2(k1_valued_1(A,B)) ) ) )).
fof(fc1_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k54_valued_1(A)) & v1_funct_2(k54_valued_1(A),k4_ordinal1,k1_numbers) & v2_comseq_2(k54_valued_1(A)) ) ) )).
fof(fc1_seqm_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(B) ) => ( v1_relat_1(k6_nat_1(A,B)) & v1_funct_1(k6_nat_1(A,B)) & v2_valued_0(k6_nat_1(A,B)) & v4_valued_0(k6_nat_1(A,B)) & v5_valued_0(k6_nat_1(A,B)) ) ) )).
fof(fc1_series_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v3_valued_0(A) ) => ( v1_relat_1(k2_series_1(A)) & v4_relat_1(k2_series_1(A),k4_ordinal1) & v1_funct_1(k2_series_1(A)) & v1_partfun1(k2_series_1(A),k4_ordinal1) & v1_valued_0(k2_series_1(A)) & v3_valued_0(k2_series_1(A)) ) ) )).
fof(fc1_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_xreal_0(k9_complex1(A)) & ~ v3_xxreal_0(k9_complex1(A)) ) ) )).
fof(fc1_setfam_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v1_xboole_0(k7_setfam_1(A,B)) ) )).
fof(fc1_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k1_setlim_1(B)) & v1_funct_2(k1_setlim_1(B),k4_ordinal1,k9_setfam_1(A)) & v3_prob_1(k1_setlim_1(B)) ) ) )).
fof(fc1_sf_mastr,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k2_sf_mastr(A)) ) )).
fof(fc1_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k6_scmfsa_2(A,B)) ) )).
fof(fc1_sfmastr2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( v1_relat_1(k1_sfmastr2(A,B)) & v4_relat_1(k1_sfmastr2(A,B),k4_ordinal1) & v5_relat_1(k1_sfmastr2(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_sfmastr2(A,B)) & v1_funct_1(k1_sfmastr2(A,B)) & v1_finset_1(k1_sfmastr2(A,B)) & v1_afinsq_1(k1_sfmastr2(A,B)) & v3_compos_1(k1_sfmastr2(A,B),k1_scmfsa_2) & v4_compos_1(k1_sfmastr2(A,B),k1_scmfsa_2) & v5_amistd_1(k1_sfmastr2(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc1_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v1_scmfsa7b(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( v1_relat_1(k4_scmfsa8b(A,B,C,D)) & v4_relat_1(k4_scmfsa8b(A,B,C,D),k4_ordinal1) & v5_relat_1(k4_scmfsa8b(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa8b(A,B,C,D)) & ~ v1_xboole_0(k4_scmfsa8b(A,B,C,D)) & v1_finset_1(k4_scmfsa8b(A,B,C,D)) & v1_afinsq_1(k4_scmfsa8b(A,B,C,D)) & v1_scmfsa7b(k4_scmfsa8b(A,B,C,D)) ) ) )).
fof(fc1_sgraph1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v1_finset_1(k1_sgraph1(A,B)) ) )).
fof(fc1_simplex0,axiom,( ! [A] : v5_finset_1(k2_cohsp_1(A)) )).
fof(fc1_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & v6_simplex0(C,u1_struct_0(B)) & m1_simplex0(C,u1_struct_0(B)) ) => ( ~ v3_pencil_1(k5_simplex1(A,B,C)) & v1_matroid0(k5_simplex1(A,B,C)) & v3_matroid0(k5_simplex1(A,B,C)) & v6_simplex0(k5_simplex1(A,B,C),u1_struct_0(B)) ) ) )).
fof(fc1_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & v1_matroid0(C) & v1_simplex2(C,A) & m1_simplex0(C,B) & v2_int_1(D) ) => v1_simplex2(k8_simplex0(B,C,D),A) ) )).
fof(fc1_sin_cos2,axiom,( ! [A] : v1_xreal_0(k2_sin_cos2(A)) )).
fof(fc1_sin_cos6,axiom,( v1_xreal_0(k28_sin_cos) & v2_xxreal_0(k28_sin_cos) )).
fof(fc1_sin_cos9,axiom,( v1_relat_1(k5_relat_1(k26_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k26_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc1_sincos10,axiom,( v1_relat_1(k5_relat_1(k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc1_sppol_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => v2_compts_1(k1_rltopsp1(k15_euclid(A),B,C),k15_euclid(A)) ) )).
fof(fc1_sppol_2,axiom,( ! [A] : ! [B] : ( ( v2_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => v2_topreal1(k16_finseq_1(B,A)) ) )).
fof(fc1_sprect_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_zfmisc_1(B) & m1_finseq_1(B,u1_struct_0(k15_euclid(A))) ) => ~ v1_xboole_0(k3_topreal1(A,B)) ) )).
fof(fc1_sprect_2,axiom,( v2_compts_1(k1_topreal1,k15_euclid(2)) )).
fof(fc1_sprect_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_sppol_1(k1_rltopsp1(k15_euclid(2),k11_pscomp_1(A),k12_pscomp_1(A))) ) )).
fof(fc1_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( v1_relat_1(k1_rfinseq(1,A)) & v1_funct_1(k1_rfinseq(1,A)) & v2_funct_1(k1_rfinseq(1,A)) & v1_finseq_1(k1_rfinseq(1,A)) ) ) )).
fof(fc1_square_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xcmplx_0(k1_square_1(A)) ) )).
fof(fc1_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => v1_finset_1(k3_setfam_1(C,D)) ) )).
fof(fc1_srings_2,axiom,( ! [A] : ( v1_srings_1(k1_zfmisc_1(A),A) & v3_srings_1(k1_zfmisc_1(A),A) & v4_srings_1(k1_zfmisc_1(A),A) & ~ v1_setfam_1(k1_zfmisc_1(A)) ) )).
fof(fc1_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & v1_funct_1(E) & v1_funct_2(E,B,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ~ v2_struct_0(g1_stacks_1(A,B,C,D,E,F)) & v1_stacks_1(g1_stacks_1(A,B,C,D,E,F)) ) ) )).
fof(fc1_stirl2_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k3_stirl2_1(A,B)) ) )).
fof(fc1_struct_0,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_struct_0(A) ) => v1_xboole_0(u1_struct_0(A)) ) )).
fof(fc1_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m1_finseq_1(C,k2_qc_lang1(A)) & m1_subset_1(D,k1_substut1(A)) ) => ( v5_relat_1(k3_substut1(A,C,D),k3_qc_lang1(A)) & v3_card_1(k3_substut1(A,C,D),B) ) ) )).
fof(fc1_subset_1,axiom,( ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )).
fof(fc1_substlat,axiom,( ! [A] : ! [B] : ~ v1_xboole_0(k1_substlat(A,B)) )).
fof(fc1_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k1_substut1(A)) ) )).
fof(fc1_supinf_1,axiom,( ! [A] : ( v2_membered(A) => ( ~ v1_xboole_0(k3_supinf_1(A)) & v2_membered(k3_supinf_1(A)) ) ) )).
fof(fc1_symsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( ~ v2_struct_0(g1_symsp_1(A,B,C,D,E,F)) & v1_symsp_1(g1_symsp_1(A,B,C,D,E,F),A) ) ) )).
fof(fc1_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k3_t_0topsp(A)) & v2_pre_topc(k3_t_0topsp(A)) ) ) )).
fof(fc1_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k2_t_1topsp(A)) & v1_pre_topc(k2_t_1topsp(A)) & v2_pre_topc(k2_t_1topsp(A)) ) ) )).
fof(fc1_taxonom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & v6_tbsp_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v3_xxreal_0(k2_tbsp_1(A,B)) & v1_xreal_0(k2_tbsp_1(A,B)) ) ) )).
fof(fc1_taylor_1,axiom,( v1_funct_1(k22_sin_cos) & v2_funct_1(k22_sin_cos) & v1_funct_2(k22_sin_cos,k1_numbers,k1_numbers) )).
fof(fc1_tbsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_metric_1(k5_metric_1(A)) & v5_tbsp_1(k5_metric_1(A)) ) ) )).
fof(fc1_tdgroup,axiom,( v8_algstr_0(k1_vectsp_1) & v12_vectsp_1(k1_vectsp_1) & v1_tdgroup(k1_vectsp_1) )).
fof(fc1_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k1_tdlat_1(A)) ) )).
fof(fc1_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k10_polynom1(A,B,C,D)) & v1_funct_2(k10_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(k10_polynom1(A,B,C,D),A,B) ) ) )).
fof(fc1_tex_1,axiom,( ! [A] : ~ v1_xboole_0(k1_tex_1(A)) )).
fof(fc1_tex_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_subset_1(B,A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ~ v1_xboole_0(k3_subset_1(A,B)) ) )).
fof(fc1_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k2_pre_topc(A,B)) ) )).
fof(fc1_tietze,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v1_borsuk_1(k1_pre_topc(A,B),A) ) ) )).
fof(fc1_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) & v4_partfun3(C) ) => ~ v1_xboole_0(k3_tietze_2(A,B,C)) ) )).
fof(fc1_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( ~ v2_struct_0(k1_tsep_1(A,B,C)) & v1_pre_topc(k1_tsep_1(A,B,C)) & v2_pre_topc(k1_tsep_1(A,B,C)) ) ) )).
fof(fc1_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_topalg_1(A,B,C)) ) )).
fof(fc1_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) & m1_subset_1(C,u1_struct_0(B)) ) => ( v7_struct_0(k5_topalg_1(B,C)) & v15_algstr_0(k5_topalg_1(B,C)) ) ) )).
fof(fc1_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & v1_connsp_1(A) & l1_pre_topc(A) ) => ( v1_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) & v1_connsp_1(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) ) ) )).
fof(fc1_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & l3_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & v1_group_6(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & v1_group_6(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( v1_funct_1(k1_topalg_4(A,B,C,D,E,F)) & v1_funct_2(k1_topalg_4(A,B,C,D,E,F),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(C,D)))) & v1_group_6(k1_topalg_4(A,B,C,D,E,F),k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B)),k2_group_7(k2_tarski(1,2),k10_finseq_1(C,D))) ) ) )).
fof(fc1_topalg_5,axiom,( ~ v2_struct_0(k2_gr_cy_1) & ~ v8_struct_0(k2_gr_cy_1) & v15_algstr_0(k2_gr_cy_1) )).
fof(fc1_topalg_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) ) => ( ~ v8_struct_0(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc1_topalg_7,axiom,( ! [A] : ( l3_algstr_0(A) => v1_topalg_7(k1_group_1(A),A) ) )).
fof(fc1_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k1_topdim_1(A)) & v1_funct_2(k1_topdim_1(A),k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & v3_prob_1(k1_topdim_1(A)) ) ) )).
fof(fc1_topdim_2,axiom,( ! [A] : ! [B] : ( ( v1_topdim_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v7_ordinal1(k1_xxreal_3(k1_topdim_2(A,B),1)) & v1_xxreal_0(k1_xxreal_3(k1_topdim_2(A,B),1)) ) ) )).
fof(fc1_topgen_1,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_struct_0(A) ) => v1_finset_1(k2_struct_0(A)) ) )).
fof(fc1_topgen_2,axiom,( ! [A] : ! [B] : ( v1_pre_topc(k5_topgen_2(A,B)) & v2_pre_topc(k5_topgen_2(A,B)) ) )).
fof(fc1_topgen_3,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( ~ v1_finset_1(k3_card_2(2,A)) & v1_card_1(k3_card_2(2,A)) ) ) )).
fof(fc1_topgen_4,axiom,( v4_card_3(k3_numbers) )).
fof(fc1_topgen_5,axiom,( ~ v1_xboole_0(k1_topgen_5) )).
fof(fc1_topgen_6,axiom,( ~ v2_struct_0(k2_topgen_3) & v1_pre_topc(k2_topgen_3) & v2_pre_topc(k2_topgen_3) & v8_pre_topc(k2_topgen_3) )).
fof(fc1_topgrp_1,axiom,( ! [A] : ( l1_struct_0(A) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),k3_struct_0(A))) & v2_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),k3_struct_0(A))) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),k3_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) ) ) )).
fof(fc1_topmetr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k1_topmetr(A,B)) & v1_metric_1(k1_topmetr(A,B)) ) ) )).
fof(fc1_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => v4_funct_1(u1_struct_0(k15_euclid(A))) ) )).
fof(fc1_topreal2,axiom,( v1_topreal2(k1_topreal1) )).
fof(fc1_topreal6,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v8_struct_0(k1_pre_topc(A,B)) & v1_pre_topc(k1_pre_topc(A,B)) ) ) )).
fof(fc1_topreal7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) ) => ( ~ v2_struct_0(k1_topreal7(A,B)) & v1_metric_1(k1_topreal7(A,B)) ) ) )).
fof(fc1_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & ~ v2_xxreal_0(C) ) => v1_xboole_0(k1_topreal9(A,B,C)) ) )).
fof(fc1_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k4_xxreal_1(A,k2_xcmplx_0(A,B))) ) )).
fof(fc1_toprealb,axiom,( ~ v1_xboole_0(k4_xxreal_1(k5_numbers,1)) )).
fof(fc1_toprealc,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v3_xxreal_0(k1_square_1(A)) ) )).
fof(fc1_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k2_pre_topc(A,B),A) ) )).
fof(fc1_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => v1_tops_2(u1_pre_topc(A),A) ) )).
fof(fc1_trees_1,axiom,( v1_trees_1(k1_tarski(k1_xboole_0)) )).
fof(fc1_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_2(A) & m1_subset_1(B,A) ) => v1_finset_1(k1_trees_2(A,B)) ) )).
fof(fc1_trees_3,axiom,( ~ v1_xboole_0(k1_trees_3) )).
fof(fc1_trees_9,axiom,( ! [A] : ( v1_relat_1(k1_trees_4(A)) & v1_zfmisc_1(k1_trees_4(A)) & v1_funct_1(k1_trees_4(A)) & v1_finset_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A)) ) )).
fof(fc1_turing_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_valued_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k16_finseq_1(B,A)) & v5_relat_1(k16_finseq_1(B,A),k4_numbers) & v1_funct_1(k16_finseq_1(B,A)) & v1_finseq_1(k16_finseq_1(B,A)) ) ) )).
fof(fc1_unialg_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) ) => ( ~ v2_struct_0(g1_unialg_1(A,B)) & v1_unialg_1(g1_unialg_1(A,B)) ) ) )).
fof(fc1_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ~ v1_xboole_0(k6_unialg_2(A)) ) )).
fof(fc1_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ( ~ v2_struct_0(k12_unialg_2(A)) & v3_lattices(k12_unialg_2(A)) & v10_lattices(k12_unialg_2(A)) & v15_lattices(k12_unialg_2(A)) ) ) )).
fof(fc1_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_uniroots(A)) & v8_struct_0(k1_uniroots(A)) & v15_algstr_0(k1_uniroots(A)) & v2_group_1(k1_uniroots(A)) & v3_group_1(k1_uniroots(A)) ) ) )).
fof(fc1_uproots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k5_polynom5(A,B,k5_struct_0(A))) & v1_funct_2(k5_polynom5(A,B,k5_struct_0(A)),k4_ordinal1,u1_struct_0(A)) & v1_uproots(k5_polynom5(A,B,k5_struct_0(A)),A) ) ) )).
fof(fc1_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k1_urysohn1(A)) ) )).
fof(fc1_urysohn2,axiom,( ! [A] : ! [B] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) ) => v6_xxreal_2(k23_member_1(A,B)) ) )).
fof(fc1_valuat_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) ) => ( v4_funct_1(k1_valuat_1(A,B)) & ~ v1_xboole_0(k1_valuat_1(A,B)) ) ) )).
fof(fc1_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_valued_0(A) ) => v1_membered(k10_xtuple_0(A)) ) )).
fof(fc1_valued_1,axiom,( ! [A] : ( v1_rat_1(A) => ( v1_xreal_0(k9_complex1(A)) & v1_rat_1(k9_complex1(A)) ) ) )).
fof(fc1_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => v1_valued_2(k1_tarski(A)) ) )).
fof(fc1_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(k3_struct_0(A),u1_struct_0(A)) & v3_vectmetr(k3_struct_0(A),A) ) ) )).
fof(fc1_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v7_ordinal1(D) ) => ( v1_funct_1(k1_vectsp11(B,C,D)) & v1_funct_2(k1_vectsp11(B,C,D),u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(k1_vectsp11(B,C,D),B,B) & v1_mod_2(k1_vectsp11(B,C,D),A,B,B) ) ) )).
fof(fc1_vectsp_1,axiom,( ~ v2_struct_0(k1_vectsp_1) & v8_algstr_0(k1_vectsp_1) )).
fof(fc1_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ( ~ v2_struct_0(g1_vectsp_2(A,B,C,D,E)) & v2_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) ) ) )).
fof(fc1_vectsp_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ~ v1_xboole_0(k3_vectsp_5(A,B)) ) )).
fof(fc1_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k1_vfunct_1(A,B,C,D)) & v1_partfun1(k1_vfunct_1(A,B,C,D),A) ) ) )).
fof(fc1_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k1_vsdiff_1(A,B,C,D,E)) & v1_partfun1(k1_vsdiff_1(A,B,C,D,E),A) ) ) )).
fof(fc1_waybel10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => v4_waybel_3(k2_funcop_1(A,B)) ) )).
fof(fc1_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v3_waybel11(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel11(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc1_waybel12,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_waybel_6(k3_subset_1(u1_struct_0(A),k5_waybel_0(A,B)),A) ) )).
fof(fc1_waybel14,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_waybel_0(k2_waybel_8(A,B),A) ) )).
fof(fc1_waybel15,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & v3_waybel_8(k2_yellow_1(A)) ) )).
fof(fc1_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k8_waybel_0(A)) ) )).
fof(fc1_waybel17,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & l1_orders_2(B) ) => v5_waybel_3(k2_funcop_1(A,B)) ) )).
fof(fc1_waybel18,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ( ~ v2_struct_0(k3_waybel18(A,B)) & v1_pre_topc(k3_waybel18(A,B)) & v2_pre_topc(k3_waybel18(A,B)) ) ) )).
fof(fc1_waybel21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k3_yellow_9(A,k6_domain_1(u1_struct_0(A),B))) & v4_orders_2(k3_yellow_9(A,k6_domain_1(u1_struct_0(A),B))) & v6_waybel_0(k3_yellow_9(A,k6_domain_1(u1_struct_0(A),B)),A) & v7_waybel_0(k3_yellow_9(A,k6_domain_1(u1_struct_0(A),B))) & v8_waybel_0(k3_yellow_9(A,k6_domain_1(u1_struct_0(A),B)),A) & v9_waybel_0(k3_yellow_9(A,k6_domain_1(u1_struct_0(A),B)),A) ) ) )).
fof(fc1_waybel22,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k8_waybel_0(A))) & v3_waybel_3(k1_yellow_1(k8_waybel_0(A))) ) ) )).
fof(fc1_waybel23,axiom,( ! [A] : ! [B] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & v2_lattice3(k5_yellow_0(A,B)) ) ) )).
fof(fc1_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v1_funct_1(k6_struct_0(A,B,C)) & v1_funct_2(k6_struct_0(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(k6_struct_0(A,B,C),A,B) ) ) )).
fof(fc1_waybel25,axiom,( v1_pre_topc(k9_waybel18) & ~ v7_pre_topc(k9_waybel18) )).
fof(fc1_waybel26,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ~ v2_struct_0(k1_waybel26(A,B)) & v1_monoid_0(k1_waybel26(A,B)) & v1_orders_2(k1_waybel26(A,B)) & v3_orders_2(k1_waybel26(A,B)) & v4_orders_2(k1_waybel26(A,B)) ) ) )).
fof(fc1_waybel27,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_waybel27(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_waybel27(k5_relat_1(A,B)) ) ) )).
fof(fc1_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ~ v2_struct_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C)) & v4_orders_2(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C)) & v6_waybel_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C),A) & v7_waybel_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C)) ) ) )).
fof(fc1_waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( v1_orders_2(k3_waybel24(A,B)) & v24_waybel_0(k3_waybel24(A,B)) ) ) )).
fof(fc1_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k7_waybel_0(A))) & v24_waybel_0(k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc1_waybel31,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) ) => ( v1_orders_2(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))) & v2_waybel_8(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))) ) ) )).
fof(fc1_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ~ v2_struct_0(k1_waybel32(A,B,C)) & v4_orders_2(k1_waybel32(A,B,C)) & v6_waybel_0(k1_waybel32(A,B,C),A) ) ) )).
fof(fc1_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k1_waybel34(A,B,C)) & v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A)) & v5_waybel_1(k1_waybel34(A,B,C),A,B) ) ) )).
fof(fc1_waybel_0,axiom,( ! [A] : ( ( v1_lattice3(A) & l1_orders_2(A) ) => v1_waybel_0(k2_struct_0(A),A) ) )).
fof(fc1_waybel_1,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & v2_waybel_1(k2_yellow_1(A)) ) )).
fof(fc1_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ~ v1_xboole_0(k7_relat_1(C,D)) ) )).
fof(fc1_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_waybel_3(A,B)) ) )).
fof(fc1_waybel_4,axiom,( ! [A] : ( l1_orders_2(A) => v1_waybel_4(k2_waybel_4(A),A) ) )).
fof(fc1_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,C,k7_funcop_1(A,B)) & m1_subset_1(E,A) ) => ~ v1_xboole_0(k10_xtuple_0(k1_waybel_5(A,B,C,D,E))) ) )).
fof(fc1_waybel_7,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & v11_waybel_1(k2_yellow_1(A)) ) )).
fof(fc1_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k1_waybel_8(A)) & v1_orders_2(k1_waybel_8(A)) & v4_yellow_0(k1_waybel_8(A),A) ) ) )).
fof(fc1_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(k3_struct_0(A),A,A) ) ) )).
fof(fc1_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v8_struct_0(k10_group_5(A)) & v15_algstr_0(k10_group_5(A)) ) ) )).
fof(fc1_wellfnd1,axiom,( ! [A] : ( ~ v1_xboole_0(k2_card_1(A)) & v1_card_1(k2_card_1(A)) ) )).
fof(fc1_wellord2,axiom,( ! [A] : ( v1_relat_1(k1_wellord2(A)) & v1_relat_2(k1_wellord2(A)) ) )).
fof(fc1_wsierp_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v7_ordinal1(B) ) => v1_int_1(k1_newton(A,B)) ) )).
fof(fc1_xboole_0,axiom,( v1_xboole_0(k1_xboole_0) )).
fof(fc1_xboolean,axiom,( v1_xboolean(k1_xboolean) )).
fof(fc1_xcmplx_0,axiom,( v1_xcmplx_0(k1_xcmplx_0) )).
fof(fc1_xreal_0,axiom,( ~ v1_xreal_0(k2_xxreal_0) )).
fof(fc1_xtuple_0,axiom,( ! [A] : ! [B] : v1_xtuple_0(k4_tarski(A,B)) )).
fof(fc1_xxreal_0,axiom,( v1_xxreal_0(k1_xxreal_0) )).
fof(fc1_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v2_membered(k1_xxreal_1(A,B)) ) )).
fof(fc1_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & ~ v1_xboole_0(A) & v4_xxreal_2(A) ) => ( v1_xxreal_0(k1_xxreal_2(A)) & v1_xreal_0(k1_xxreal_2(A)) ) ) )).
fof(fc1_xxreal_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_xxreal_0(k2_xxreal_3(A)) & v1_xreal_0(k2_xxreal_3(A)) ) ) )).
fof(fc1_yellow10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_yellow_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v2_yellow_0(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v2_yellow_0(k3_yellow_3(A,B)) ) ) )).
fof(fc1_yellow11,axiom,( v1_orders_2(k1_yellow11) & v3_orders_2(k1_yellow11) & v4_orders_2(k1_yellow11) & v5_orders_2(k1_yellow11) )).
fof(fc1_yellow12,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k3_tarski(A)) ) )).
fof(fc1_yellow13,axiom,( ! [A] : ( ( v1_compts_1(A) & l1_pre_topc(A) ) => v2_compts_1(k2_struct_0(A),A) ) )).
fof(fc1_yellow14,axiom,( ! [A] : ! [B] : ( ( v1_monoid_0(A) & l1_struct_0(A) & v1_yellow14(B,A) & l1_waybel_0(B,A) ) => ( v1_funct_1(u1_waybel_0(A,B)) & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) & v1_funcop_1(u1_waybel_0(A,B)) ) ) )).
fof(fc1_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v1_finset_1(k2_yellow15(A,B)) ) )).
fof(fc1_yellow16,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => v1_yellow16(k2_funcop_1(A,B)) ) )).
fof(fc1_yellow18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k1_multop_1(A,B,C,D)) & v1_funct_1(k1_multop_1(A,B,C,D)) ) ) )).
fof(fc1_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k1_yellow19(A,B)) & v1_subset_1(k1_yellow19(A,B),u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(k1_yellow19(A,B),k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(k1_yellow19(A,B),k2_yellow_1(k2_struct_0(A))) ) ) )).
fof(fc1_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k1_binop_1(A,B,C)) & v1_funct_1(k1_binop_1(A,B,C)) ) ) )).
fof(fc1_yellow21,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_yellow21(A)) ) )).
fof(fc1_yellow_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),k1_tarski(A)))) => ( v13_struct_0(g1_orders_2(k1_tarski(A),B),1) & v1_orders_2(g1_orders_2(k1_tarski(A),B)) ) ) )).
fof(fc1_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A)) & v1_lattice3(k3_lattice3(A)) & v2_lattice3(k3_lattice3(A)) ) ) )).
fof(fc1_yellow_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k5_yellow_0(A,B)) & v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) ) ) )).
fof(fc1_yellow_3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k3_waybel_0(A,B)) ) )).
fof(fc1_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k1_yellow_4(A,B,C)) ) )).
fof(fc1_yellow_6,axiom,( ! [A] : ( v1_ordinal1(k1_yellow_6(A)) & v2_classes1(k1_yellow_6(A)) ) )).
fof(fc1_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)) ) ) )).
fof(fc1_yellow_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k1_yellow_8(A)) & v1_pre_topc(k1_yellow_8(A)) ) ) )).
fof(fc1_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & m1_yellow_0(B,A) ) => ( v1_funct_1(k1_yellow_9(A,B)) & v1_funct_2(k1_yellow_9(A,B),u1_struct_0(B),u1_struct_0(A)) & v5_orders_3(k1_yellow_9(A,B),B,A) ) ) )).
fof(fc1_zf_fund1,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zf_lang)) ) => v1_finset_1(k4_zf_fund1(A)) ) )).
fof(fc1_zf_lang,axiom,( ~ v1_xboole_0(k1_zf_lang) )).
fof(fc1_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_finset_1(k1_zf_model(A)) ) )).
fof(fc1_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k3_zf_model(A)) ) )).
fof(fc1_zfmisc_1,axiom,( ! [A] : v1_zfmisc_1(k1_tarski(A)) )).
fof(fc1_zfmodel2,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_finset_1(k3_zf_lang1(A)) ) )).
fof(fc1_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k4_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,A),A))) ) => ( ~ v2_struct_0(g1_zmodul01(A,B,C,D)) & v1_zmodul01(g1_zmodul01(A,B,C,D)) ) ) )).
fof(fc1_zmodul02,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ( ~ v2_struct_0(k12_zmodul02(A,B)) & v13_algstr_0(k12_zmodul02(A,B)) & v2_rlvect_1(k12_zmodul02(A,B)) & v3_rlvect_1(k12_zmodul02(A,B)) & v4_rlvect_1(k12_zmodul02(A,B)) & v7_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) & v8_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) & v9_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) & v10_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) & v11_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) ) ) )).
fof(fc1_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul01(k3_zmodul01(A)) & v1_zmodul03(k3_zmodul01(A)) ) ) )).
fof(fc1_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers)))) ) )).
fof(fc1_zmodul05,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_zmodul01(k33_zmodul02(A,B)) & v3_zmodul03(k33_zmodul02(A,B)) ) ) )).
fof(fc1_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => v1_zmodul06(k4_struct_0(A),A) ) )).
fof(fc20_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v8_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) => v8_abcmiz_1(k37_abcmiz_1(A,B),A) ) )).
fof(fc20_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => v5_relat_1(k7_afinsq_1(B,C,D),A) ) )).
fof(fc20_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v5_ordinal1(k24_valued_1(A,B)) ) ) )).
fof(fc20_algstr_0,axiom,( v13_struct_0(k8_algstr_0,1) & v22_algstr_0(k8_algstr_0) )).
fof(fc20_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v7_ordinal1(B) ) => v1_amistd_1(k4_xtuple_0(k8_ami_3(B,A)),k5_card_1(2),k1_ami_3) ) )).
fof(fc20_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_membered(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k4_card_3(k10_finseq_1(A,B))) ) => v1_int_1(k1_funct_1(C,1)) ) )).
fof(fc20_aofa_a01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_finset_1(k8_afinsq_1(A)) ) )).
fof(fc20_binop_2,axiom,( v1_funct_1(k24_binop_2) & v1_funct_2(k24_binop_2,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & v1_setwiseo(k24_binop_2,k4_ordinal1) )).
fof(fc20_card_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => v10_ordinal1(k6_ordinal1(A)) ) )).
fof(fc20_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) & v9_struct_0(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => v9_struct_0(k6_afinsq_1(B,C),k4_cayldick(A)) ) )).
fof(fc20_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k6_closure2(u1_struct_0(A),B),k6_closure2(u1_struct_0(A),B)) & v7_closure2(C,u1_struct_0(A),B) & v8_closure2(C,u1_struct_0(A),B) & v9_closure2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(A),B),k6_closure2(u1_struct_0(A),B)))) ) => ( v11_closure2(k10_closure2(A,B,C),A) & v15_closure2(k10_closure2(A,B,C),A) ) ) )).
fof(fc20_compos_0,axiom,( ! [A] : ( ( v1_compos_0(A) & v5_compos_0(A) ) => v4_compos_0(k9_compos_0(A),A) ) )).
fof(fc20_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k5_comput_1(2,A)) & v4_relat_1(k5_comput_1(2,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k5_comput_1(2,A)) & v4_valued_0(k5_comput_1(2,A)) & v2_margrel1(k5_comput_1(2,A)) & v8_comput_1(k5_comput_1(2,A),2) ) ) )).
fof(fc20_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_monoid_0(k14_euclid(A)) & v1_metric_1(k14_euclid(A)) & v6_metric_1(k14_euclid(A)) & v7_metric_1(k14_euclid(A)) & v8_metric_1(k14_euclid(A)) & v9_metric_1(k14_euclid(A)) ) ) )).
fof(fc20_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) & m2_exchsort(C,A,B) ) => ( v1_relat_1(k1_funct_1(C,D)) & v1_funct_1(k1_funct_1(C,D)) & v1_exchsort(k1_funct_1(C,D)) ) ) )).
fof(fc20_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ~ v1_xboole_0(k11_finseq_1(A,B,C)) )).
fof(fc20_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_relat_1(k3_relat_1(B,A)) & v1_finset_1(k3_relat_1(B,A)) ) ) )).
fof(fc20_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(E) & v5_relat_1(E,A) & v1_funct_1(E) & v3_card_1(E,C) & v1_finseq_1(E) ) => v3_card_1(k3_relat_1(E,D),C) ) )).
fof(fc20_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v3_card_1(k33_fomodel1(A,B),k1_int_2(k30_fomodel1(A,B))) ) )).
fof(fc20_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel2(k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),C),A) ) )).
fof(fc20_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v2_funct_2(B,A) ) => ( v1_relat_1(k2_relat_1(B)) & v4_relat_1(k2_relat_1(B),A) & v1_partfun1(k2_relat_1(B),A) ) ) )).
fof(fc20_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) ) => v2_fomodel4(k1_funct_1(k5_fomodel4(B,C,A),D),B) ) )).
fof(fc20_funcop_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(k2_funcop_1(A,B)) & v4_relat_1(k2_funcop_1(A,B),A) & v1_funct_1(k2_funcop_1(A,B)) & v1_partfun1(k2_funcop_1(A,B),A) ) )).
fof(fc20_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) & v8_functor0(D,A,B) & l2_functor0(D,A,B) & v8_functor0(E,B,C) & l2_functor0(E,B,C) ) => ( v8_functor0(k13_functor0(A,B,C,D,E),A,C) & v9_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(fc20_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_xboole_0(A) => v1_xboole_0(k8_gate_1(B,C,A)) ) )).
fof(fc20_gaussint,axiom,( ~ v2_struct_0(k7_gaussint) & ~ v6_struct_0(k7_gaussint) & v33_algstr_0(k7_gaussint) & v36_algstr_0(k7_gaussint) & v2_rlvect_1(k7_gaussint) & v3_group_1(k7_gaussint) & v5_vectsp_1(k7_gaussint) )).
fof(fc20_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v4_glib_001(k9_glib_001(A,B,C,D),A) ) )).
fof(fc20_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & v3_group_1(C) & l3_algstr_0(C) ) => v3_group_7(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) ) )).
fof(fc20_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l1_vectsp_1(A,k1_complfld) ) => ( v1_rlvect_1(k10_hahnban1(A)) & v2_rlvect_1(k10_hahnban1(A)) ) ) )).
fof(fc20_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_ideal_1(k14_ideal_1(A,B,C),A) ) )).
fof(fc20_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_kurato_1(k5_kurato_1(A,B),A) ) )).
fof(fc20_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k9_member_1(A,B)) ) )).
fof(fc20_membered,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) & v1_xxreal_0(C) ) => v2_membered(k1_enumset1(A,B,C)) ) )).
fof(fc20_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_finset_1(C) ) => ( v1_relat_1(k8_memstr_0(A,B,C)) & v4_relat_1(k8_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k8_memstr_0(A,B,C)) & v5_funct_1(k8_memstr_0(A,B,C),k2_memstr_0(A,B)) & v1_finset_1(k8_memstr_0(A,B,C)) ) ) )).
fof(fc20_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ( v3_msualg_1(k10_msafree4(A,B,C),A) & v4_msualg_1(k10_msafree4(A,B,C),A) & v6_msafree4(k10_msafree4(A,B,C),A,B) & v7_msafree4(k10_msafree4(A,B,C),A,B) & v8_msafree4(k10_msafree4(A,B,C),A,B) ) ) )).
fof(fc20_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) ) => v8_msafree5(k6_msafree5(A,B,C,D),A,B,k1_msafree3(A,B),C,D) ) )).
fof(fc20_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v8_ordinal1(A) & ~ v8_ordinal1(B) & ~ v8_ordinal1(C) & ~ v8_ordinal1(D) & ~ v8_ordinal1(E) & ~ v8_ordinal1(F) & ~ v8_ordinal1(G) & ~ v8_ordinal1(H) & ~ v8_ordinal1(I) & ~ v8_ordinal1(J) ) => v1_setfam_1(k8_enumset1(A,B,C,D,E,F,G,H,I,J)) ) )).
fof(fc20_nat_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => v3_card_1(k13_pre_poly(k12_nat_3(A)),1) ) )).
fof(fc20_numpoly1,axiom,( ~ v1_xboole_0(k9_numpoly1) )).
fof(fc20_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v4_ordinal6(k3_afinsq_1(A)) ) )).
fof(fc20_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v1_partfun3(k45_valued_1(B,C)) ) ) )).
fof(fc20_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) ) => ( v1_relat_1(k12_pre_poly(A,B,C)) & v4_relat_1(k12_pre_poly(A,B,C),A) & v1_funct_1(k12_pre_poly(A,B,C)) & v1_partfun1(k12_pre_poly(A,B,C),A) & v4_valued_0(k12_pre_poly(A,B,C)) ) ) )).
fof(fc20_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v2_prvect_2(k5_finseq_1(A)) ) )).
fof(fc20_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => v5_ratfunc1(k8_ratfunc1(A),A) ) )).
fof(fc20_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => v1_xboole_0(k7_relat_1(A,B)) ) )).
fof(fc20_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_2(A) & v1_relat_1(B) ) => v4_relat_2(k4_xboole_0(A,B)) ) )).
fof(fc20_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v3_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v3_funct_1(k18_valued_1(B,C)) ) ) )).
fof(fc20_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v36_algstr_0(k4_ring_2(A,B,C)) & v4_vectsp_1(k4_ring_2(A,B,C)) & v5_vectsp_1(k4_ring_2(A,B,C)) & v3_group_1(k4_ring_2(A,B,C)) ) ) )).
fof(fc20_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(A,B))) ) )).
fof(fc20_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k1_scmfsa6c(A,B)) & v1_relat_1(k1_scmfsa6c(A,B)) & v4_relat_1(k1_scmfsa6c(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa6c(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6c(A,B)) & v1_finset_1(k1_scmfsa6c(A,B)) & v1_afinsq_1(k1_scmfsa6c(A,B)) & v5_amistd_1(k1_scmfsa6c(A,B),k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(k1_scmfsa6c(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc20_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_int_1(B) ) => ( v1_relat_1(k17_funcop_1(A,B)) & v4_relat_1(k17_funcop_1(A,B),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k17_funcop_1(A,B)) & v5_funct_1(k17_funcop_1(A,B),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc20_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v1_scmpds_5(k13_scmpds_2(A,B,C,D)) ) )).
fof(fc20_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k9_scmpds_6(B,C,A)) & v4_relat_1(k9_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k9_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k9_scmpds_6(B,C,A)) & v1_funct_1(k9_scmpds_6(B,C,A)) & v1_finset_1(k9_scmpds_6(B,C,A)) & v1_afinsq_1(k9_scmpds_6(B,C,A)) & v2_compos_1(k9_scmpds_6(B,C,A),k1_scmpds_2) ) ) )).
fof(fc20_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v7_ordinal1(C) ) => v2_amistd_1(k9_scmring2(A,C,B),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc20_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => ( v4_scmyciel(k6_scmyciel(A)) & v8_scmyciel(k6_scmyciel(A)) ) ) )).
fof(fc20_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => v4_simplex0(k8_simplex0(A,B,k9_simplex0(1))) ) )).
fof(fc20_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(fc20_struct_0,axiom,( ! [A] : ( ( v15_struct_0(A) & l5_struct_0(A) ) => v1_zfmisc_1(u4_struct_0(A)) ) )).
fof(fc20_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v1_subset_1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k6_tex_4(A,B)) & ~ v1_tex_2(k6_tex_4(A,B),A) ) ) )).
fof(fc20_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k2_group_2(A,B,C),A) ) )).
fof(fc20_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ~ v1_xboole_0(k7_jgraph_6(A,B,C)) ) )).
fof(fc20_toprealb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ( ~ v2_struct_0(k7_toprealb(A,B,C)) & v1_pre_topc(k7_toprealb(A,B,C)) ) ) )).
fof(fc20_trees_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) & v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) & v3_trees_2(D) ) => ( v1_relat_1(k13_funct_3(C,D)) & v5_relat_1(k13_funct_3(C,D),k2_zfmisc_1(A,B)) & v1_funct_1(k13_funct_3(C,D)) ) ) )).
fof(fc20_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_relat_1(B) ) => v5_relat_1(k4_xboole_0(A,B),k3_numbers) ) )).
fof(fc20_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_rat_1(D) ) => ( v1_funct_1(k7_valued_1(C,D)) & v1_partfun1(k7_valued_1(C,D),A) ) ) )).
fof(fc20_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v5_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => v5_relat_1(k1_funct_1(D,B),k4_numbers) ) )).
fof(fc20_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k12_waybel_0(A,B)) ) )).
fof(fc20_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => v1_waybel_4(k1_waybel_4(A),A) ) )).
fof(fc20_waybel_9,axiom,( ! [A] : ( ( v2_lattice3(A) & l1_orders_2(A) ) => ( v6_waybel_0(k3_waybel_9(A),A) & v7_waybel_0(k3_waybel_9(A)) ) ) )).
fof(fc20_xreal_0,axiom,( ! [A] : ! [B] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => v3_xxreal_0(k6_xcmplx_0(B,A)) ) )).
fof(fc20_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => ~ v2_xxreal_2(k2_xxreal_1(A,B)) ) )).
fof(fc20_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_3(A,B)) & v2_xxreal_0(k3_xxreal_3(A,B)) ) ) )).
fof(fc20_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v2_struct_0(k8_yellow_6(A,B)) ) )).
fof(fc21_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ~ v1_xboole_0(k39_abcmiz_1(A)) ) )).
fof(fc21_afinsq_1,axiom,( ! [A] : ~ v1_xboole_0(k8_afinsq_1(A)) )).
fof(fc21_algstr_0,axiom,( v21_algstr_0(k8_algstr_0) )).
fof(fc21_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v7_ordinal1(B) ) => v1_amistd_1(k4_xtuple_0(k9_ami_3(B,A)),k5_card_1(2),k1_ami_3) ) )).
fof(fc21_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_msafree1(B,A) & l3_msualg_1(B,A) ) => ( v1_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_prob_2(u3_msualg_1(A,B)) ) ) )).
fof(fc21_binop_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => v1_xreal_0(k1_binop_1(A,B,C)) ) )).
fof(fc21_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l1_cayldick(A) & ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v9_struct_0(k6_afinsq_1(B,C),k4_cayldick(A)) ) )).
fof(fc21_compos_0,axiom,( ! [A] : ! [B] : ( ( v1_compos_0(A) & v5_compos_0(A) & v4_compos_0(B,A) & m1_subset_1(B,A) ) => v1_xboole_0(k5_xtuple_0(B)) ) )).
fof(fc21_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k5_comput_1(3,A)) & v4_relat_1(k5_comput_1(3,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k5_comput_1(3,A)) & v4_valued_0(k5_comput_1(3,A)) & v2_margrel1(k5_comput_1(3,A)) & v8_comput_1(k5_comput_1(3,A),3) ) ) )).
fof(fc21_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) & v1_xreal_0(C) & ~ v2_xxreal_0(C) ) => v1_xboole_0(k8_metric_1(k14_euclid(A),B,C)) ) )).
fof(fc21_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) & m2_exchsort(C,A,B) ) => v5_relat_1(k1_funct_1(C,D),u1_struct_0(A)) ) )).
fof(fc21_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k16_finseq_1(k5_numbers,A)) & v1_funct_1(k16_finseq_1(k5_numbers,A)) & v1_xboole_0(k16_finseq_1(k5_numbers,A)) & v1_finseq_1(k16_finseq_1(k5_numbers,A)) ) ) )).
fof(fc21_finset_1,axiom,( ! [A] : ! [B] : v1_finset_1(k17_funcop_1(A,B)) )).
fof(fc21_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v14_fomodel1(B,k5_numbers,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_xboole_0(k33_fomodel1(A,B)) ) )).
fof(fc21_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & v3_fomodel2(C,A,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => v3_fomodel2(k7_finseq_1(k43_fomodel1(A,D),C),A,k1_nat_1(B,1)) ) )).
fof(fc21_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v2_funct_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => v1_partfun1(k2_relat_1(C),B) ) )).
fof(fc21_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v8_fomodel4(k1_tarski(k9_fomodel4(A,k1_xboole_0,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k31_fomodel2(A)),B),B))),A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k26_fomodel4(A))) ) )).
fof(fc21_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => v5_relat_1(k17_funcop_1(B,C),A) ) )).
fof(fc21_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v6_functor0(D,A,B) & v8_functor0(D,A,B) & v12_functor0(D,A,B) & l2_functor0(D,A,B) & v12_functor0(E,B,C) & l2_functor0(E,B,C) ) => ( v9_functor0(k13_functor0(A,B,C,D,E),A,C) & v12_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) )).
fof(fc21_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) ) => v1_xboole_0(k9_gate_1(A,B,C)) ) )).
fof(fc21_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => v1_rat_1(k1_complex1(A)) ) )).
fof(fc21_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v5_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => v5_glib_001(k9_glib_001(A,B,C,D),A) ) )).
fof(fc21_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v5_group_1(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & v5_group_1(C) & l3_algstr_0(C) ) => v4_group_7(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) ) )).
fof(fc21_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l1_vectsp_1(A,k1_complfld) ) => ( v1_rlvect_1(k10_hahnban1(A)) & v3_rlvect_1(k10_hahnban1(A)) ) ) )).
fof(fc21_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k3_hermitan(A,B,C)) & v1_funct_2(k3_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(k3_hermitan(A,B,C),k1_complfld,A,B) ) ) )).
fof(fc21_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_ideal_1(k14_ideal_1(A,B,C),A) ) )).
fof(fc21_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ v1_xboole_0(k1_jordan2c(2,A)) ) )).
fof(fc21_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_kurato_1(k5_kurato_1(A,B),A) ) )).
fof(fc21_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k9_member_1(B,A)) ) )).
fof(fc21_membered,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => v3_membered(k1_enumset1(A,B,C)) ) )).
fof(fc21_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_finset_1(C) & v7_ordinal1(D) ) => ( v1_relat_1(k9_memstr_0(A,B,C,D)) & v4_relat_1(k9_memstr_0(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k9_memstr_0(A,B,C,D)) & v5_funct_1(k9_memstr_0(A,B,C,D),k2_memstr_0(A,B)) & v1_finset_1(k9_memstr_0(A,B,C,D)) ) ) )).
fof(fc21_moebius2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_binop_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v3_lattices(g3_lattices(A,B,C)) & v4_lattices(g3_lattices(A,B,C)) ) ) )).
fof(fc21_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v5_msafree5(D) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),D,B)) & v1_msafree5(F,E) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),D,C)) ) => v9_msafree5(k6_msafree5(A,D,C,F),A,D,k1_msafree3(A,D),B,E) ) )).
fof(fc21_nat_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k13_nat_3(A)) & v4_relat_1(k13_nat_3(A),k8_newton) & v1_funct_1(k13_nat_3(A)) & v1_partfun1(k13_nat_3(A),k8_newton) & v4_valued_0(k13_nat_3(A)) & v2_pre_poly(k13_nat_3(A)) ) ) )).
fof(fc21_ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_ordinal6(A) ) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) ) ) )).
fof(fc21_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v2_partfun3(k45_valued_1(B,C)) ) ) )).
fof(fc21_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_pre_poly(A) ) => v1_finset_1(k13_pre_poly(A)) ) )).
fof(fc21_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => v2_prvect_2(k10_finseq_1(A,B)) ) )).
fof(fc21_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v4_ratfunc1(k4_tarski(k3_hurwitz(A,B,1),k3_hurwitz(A,B,1)),A) & ~ v5_ratfunc1(k4_tarski(k3_hurwitz(A,B,1),k3_hurwitz(A,B,1)),A) ) ) )).
fof(fc21_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_xboole_0(B) ) => v1_xboole_0(k8_relat_1(A,B)) ) )).
fof(fc21_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v8_relat_2(A) ) => ( v1_relat_1(k2_relat_1(A)) & v8_relat_2(k2_relat_1(A)) ) ) )).
fof(fc21_rfunct_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v3_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v3_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B)) ) ) )).
fof(fc21_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v36_algstr_0(k4_ring_2(A,B,C)) & v5_group_1(k4_ring_2(A,B,C)) ) ) )).
fof(fc21_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => v4_amistd_1(k17_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc21_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k1_scmfsa6c(A,B)) & v1_relat_1(k1_scmfsa6c(A,B)) & v4_relat_1(k1_scmfsa6c(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa6c(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6c(A,B)) & v1_finset_1(k1_scmfsa6c(A,B)) & v1_afinsq_1(k1_scmfsa6c(A,B)) & v1_scmfsa6b(k1_scmfsa6c(A,B)) ) ) )).
fof(fc21_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k6_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc21_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v1_scmpds_5(k14_scmpds_2(A,B,C,D)) ) )).
fof(fc21_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k10_scmpds_6(B,C,A)) & v4_relat_1(k10_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k10_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k10_scmpds_6(B,C,A)) & v1_funct_1(k10_scmpds_6(B,C,A)) & v1_finset_1(k10_scmpds_6(B,C,A)) & v1_afinsq_1(k10_scmpds_6(B,C,A)) & v2_scmpds_4(k10_scmpds_6(B,C,A)) & v3_scmpds_4(k10_scmpds_6(B,C,A)) ) ) )).
fof(fc21_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v1_amistd_1(k4_xtuple_0(k3_scmring2(A,B,C)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc21_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v8_scmyciel(A) ) => ( v4_scmyciel(k6_scmyciel(A)) & v11_scmyciel(k6_scmyciel(A)) ) ) )).
fof(fc21_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_simplex0(B,A) & v2_int_1(C) ) => v4_matroid0(k8_simplex0(A,B,C)) ) )).
fof(fc21_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) )).
fof(fc21_struct_0,axiom,( ! [A] : ( ( ~ v15_struct_0(A) & l5_struct_0(A) ) => ~ v1_zfmisc_1(u4_struct_0(A)) ) )).
fof(fc21_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k2_group_2(A,C,B),A) ) )).
fof(fc21_toprealb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v8_ordinal1(C) & v1_xreal_0(C) ) => v7_struct_0(k7_toprealb(A,B,C)) ) )).
fof(fc21_trees_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_relat_1(k3_relat_1(C,D)) & v3_trees_2(k3_relat_1(C,D)) ) ) )).
fof(fc21_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_relat_1(B) ) => v5_relat_1(k3_xboole_0(A,B),k4_numbers) ) )).
fof(fc21_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_int_1(D) ) => ( v1_funct_1(k7_valued_1(C,D)) & v1_partfun1(k7_valued_1(C,D),A) ) ) )).
fof(fc21_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v6_valued_2(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => v4_valued_0(k1_funct_1(D,B)) ) )).
fof(fc21_waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_waybel_0(k11_waybel_0(A,B),A) ) )).
fof(fc21_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => v2_waybel_4(k1_waybel_4(A),A) ) )).
fof(fc21_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v6_waybel_0(k3_waybel_9(A),A) & v9_waybel_0(k3_waybel_9(A),A) & v11_waybel_0(k3_waybel_9(A),A) ) ) )).
fof(fc21_xreal_0,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => v3_xxreal_0(k6_xcmplx_0(A,B)) ) )).
fof(fc21_xxreal_2,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => ( ~ v1_xxreal_2(k4_xxreal_1(A,B)) & ~ v2_xxreal_2(k4_xxreal_1(A,B)) ) ) )).
fof(fc21_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_3(B,A)) & v3_xxreal_0(k3_xxreal_3(B,A)) ) ) )).
fof(fc21_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v4_orders_2(k8_yellow_6(A,B)) & v7_waybel_0(k8_yellow_6(A,B)) ) ) )).
fof(fc22_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => v1_finset_1(k1_xtuple_0(B)) ) )).
fof(fc22_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v5_ordinal1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v1_finset_1(k1_funct_7(A,B,C)) ) ) )).
fof(fc22_algstr_0,axiom,( v28_algstr_0(k8_algstr_0) )).
fof(fc22_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v7_ordinal1(B) ) => ( ~ v4_compos_0(k8_ami_3(B,A),u1_compos_1(k1_ami_3)) & v2_amistd_1(k8_ami_3(B,A),k5_card_1(2),k1_ami_3) & ~ v4_amistd_1(k8_ami_3(B,A),k5_card_1(2),k1_ami_3) ) ) )).
fof(fc22_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_normsp_0(A) & l1_cayldick(A) ) => ( v4_normsp_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc22_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k4_comput_1(1,A)) & v4_relat_1(k4_comput_1(1,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k4_comput_1(1,A)) & v4_valued_0(k4_comput_1(1,A)) & v2_margrel1(k4_comput_1(1,A)) & v8_comput_1(k4_comput_1(1,A),1) ) ) )).
fof(fc22_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ~ v1_xboole_0(k8_metric_1(k14_euclid(A),B,C)) ) )).
fof(fc22_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) & m2_exchsort(C,A,B) ) => ( v1_relat_1(k4_exchsort(C)) & v1_funct_1(k4_exchsort(C)) & v1_exchsort(k4_exchsort(C)) ) ) )).
fof(fc22_finseq_1,axiom,( ! [A] : v4_funct_1(k13_finseq_1(A)) )).
fof(fc22_finset_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_finset_1(A) ) => v1_finset_1(k10_xtuple_0(A)) ) )).
fof(fc22_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : v1_xboole_0(k3_xboole_0(k6_subset_1(B,A),k3_xboole_0(A,C))) )).
fof(fc22_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v14_fomodel1(C,k2_xcmplx_0(A,1),B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => v5_relat_1(k33_fomodel1(B,C),k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(B))),k28_fomodel1(B),A)) ) )).
fof(fc22_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel2(k7_finseq_1(k43_fomodel1(A,B),C),A) ) )).
fof(fc22_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v2_funct_2(B,A) ) => ( v1_relat_1(k2_relat_1(B)) & v4_relat_1(k2_relat_1(B),A) & v1_partfun1(k2_relat_1(B),A) ) ) )).
fof(fc22_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k25_fomodel4(A),A) ) )).
fof(fc22_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) ) => v5_relat_1(k2_funcop_1(A,C),B) ) )).
fof(fc22_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k9_gate_1(A,B,C)) ) )).
fof(fc22_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => v1_rat_1(k2_complex1(A)) ) )).
fof(fc22_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l1_vectsp_1(A,k1_complfld) ) => ( v1_rlvect_1(k10_hahnban1(A)) & v4_rlvect_1(k10_hahnban1(A)) ) ) )).
fof(fc22_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v2_bilinear(C,k1_complfld,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k3_hermitan(A,B,C)) & v1_funct_2(k3_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v2_bilinear(k3_hermitan(A,B,C),k1_complfld,A,B) ) ) )).
fof(fc22_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_ideal_1(k14_ideal_1(A,B,C),A) ) )).
fof(fc22_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k9_member_1(A,B)) ) )).
fof(fc22_membered,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_rat_1(A) & v1_rat_1(B) & v1_rat_1(C) ) => v4_membered(k1_enumset1(A,B,C)) ) )).
fof(fc22_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_finset_1(C) & v7_ordinal1(D) ) => ( v1_relat_1(k10_memstr_0(A,B,C,D)) & v4_relat_1(k10_memstr_0(A,B,C,D),u1_struct_0(B)) & v1_funct_1(k10_memstr_0(A,B,C,D)) & v5_funct_1(k10_memstr_0(A,B,C,D),k2_memstr_0(A,B)) & v1_finset_1(k10_memstr_0(A,B,C,D)) ) ) )).
fof(fc22_moebius2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_binop_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v3_lattices(g3_lattices(A,B,C)) & v6_lattices(g3_lattices(A,B,C)) ) ) )).
fof(fc22_ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_ordinal6(A) ) => ( v5_ordinal1(k1_funct_1(A,B)) & v1_ordinal2(k1_funct_1(A,B)) ) ) )).
fof(fc22_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v2_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v2_partfun3(k45_valued_1(B,C)) ) ) )).
fof(fc22_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_pre_poly(A) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v2_pre_poly(k1_funct_7(A,B,C)) ) ) )).
fof(fc22_prvect_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_prvect_2(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & ~ v1_xboole_0(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v2_prvect_2(k7_finseq_1(A,B)) ) ) )).
fof(fc22_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l5_algstr_0(A) ) => v4_ratfunc1(k7_ratfunc1(A),A) ) )).
fof(fc22_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => v1_xboole_0(k8_relat_1(A,B)) ) )).
fof(fc22_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v8_relat_2(A) & v1_relat_1(B) & v8_relat_2(B) ) => v8_relat_2(k3_xboole_0(A,B)) ) )).
fof(fc22_rfunct_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v3_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k54_valued_1(B)) & v1_funct_1(k54_valued_1(B)) & v3_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B)) ) ) )).
fof(fc22_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k6_ring_2(A,B,C)) & v1_funct_2(k6_ring_2(A,B,C),u1_struct_0(k2_ring_1(A,k8_vectsp10(A,B,C))),u1_struct_0(k5_ring_2(A,B,C))) & v13_vectsp_1(k6_ring_2(A,B,C),k2_ring_1(A,k8_vectsp10(A,B,C)),k5_ring_2(A,B,C)) & v6_group_1(k6_ring_2(A,B,C),k2_ring_1(A,k8_vectsp10(A,B,C)),k5_ring_2(A,B,C)) & v1_group_6(k6_ring_2(A,B,C),k2_ring_1(A,k8_vectsp10(A,B,C)),k5_ring_2(A,B,C)) ) ) )).
fof(fc22_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k17_scmfsa_2(A,B))) ) )).
fof(fc22_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k7_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc22_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v1_scmpds_5(k15_scmpds_2(A,B,C,D)) ) )).
fof(fc22_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k10_scmpds_6(B,C,A)) & v4_relat_1(k10_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k10_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k10_scmpds_6(B,C,A)) & v1_funct_1(k10_scmpds_6(B,C,A)) & v1_finset_1(k10_scmpds_6(B,C,A)) & v1_afinsq_1(k10_scmpds_6(B,C,A)) & v2_compos_1(k10_scmpds_6(B,C,A),k1_scmpds_2) ) ) )).
fof(fc22_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_amistd_1(k3_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc22_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ( v1_finset_1(k12_scmyciel(A)) & v4_scmyciel(k12_scmyciel(A)) ) ) )).
fof(fc22_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_simplex0(B) & m1_simplex0(B,A) & v2_int_1(C) ) => v4_simplex0(k8_simplex0(A,B,C)) ) )).
fof(fc22_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos))) & v2_funct_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(fc22_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) & v1_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_tops_1(k1_group_2(A,B),A) ) )).
fof(fc22_toprealb,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & v1_xreal_0(B) & v2_xxreal_0(B) ) => v1_toprealb(k7_toprealb(2,A,B)) ) )).
fof(fc22_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr)) & v5_pre_topc(C,B,k3_topmetr) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k14_toprealc(A,u1_struct_0(B),u1_struct_0(k3_topmetr),C)) & v1_funct_2(k14_toprealc(A,u1_struct_0(B),u1_struct_0(k3_topmetr),C),u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(k14_toprealc(A,u1_struct_0(B),u1_struct_0(k3_topmetr),C),B,k15_euclid(A)) ) ) )).
fof(fc22_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ( ~ v1_xboole_0(k3_trees_1(A)) & v1_finset_1(k3_trees_1(A)) ) ) )).
fof(fc22_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_relat_1(B) ) => v5_relat_1(k4_xboole_0(A,B),k4_numbers) ) )).
fof(fc22_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v6_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v7_ordinal1(D) ) => ( v1_funct_1(k7_valued_1(C,D)) & v1_partfun1(k7_valued_1(C,D),A) ) ) )).
fof(fc22_valued_2,axiom,( ! [A] : ! [B] : ( v1_membered(B) => v1_valued_2(k4_partfun1(A,B)) ) )).
fof(fc22_waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel_0(k12_waybel_0(A,B),A) ) )).
fof(fc22_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => v3_waybel_4(k1_waybel_4(A),A) ) )).
fof(fc22_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( ~ v2_struct_0(k4_waybel_9(A,B,C)) & v3_orders_2(k4_waybel_9(A,B,C)) & v6_waybel_0(k4_waybel_9(A,B,C),A) ) ) )).
fof(fc22_xreal_0,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => v2_xxreal_0(k6_xcmplx_0(B,A)) ) )).
fof(fc22_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_3(A,B)) & v3_xxreal_0(k3_xxreal_3(A,B)) ) ) )).
fof(fc22_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => v1_zfmisc_1(k9_yellow_6(A,B)) ) )).
fof(fc23_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msaterm(A,C)) ) => v1_finset_1(k1_funct_1(k4_msafree3(A,C,D),B)) ) )).
fof(fc23_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,A) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v5_relat_1(k1_funct_7(B,C,D),A) & v1_funct_1(k1_funct_7(B,C,D)) ) ) )).
fof(fc23_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finset_1(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v1_finset_1(k24_valued_1(A,B)) ) ) )).
fof(fc23_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ( ~ v2_struct_0(g5_algstr_0(A,B,C,D)) & v29_algstr_0(g5_algstr_0(A,B,C,D)) ) ) )).
fof(fc23_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v7_ordinal1(B) ) => ( ~ v4_compos_0(k9_ami_3(B,A),u1_compos_1(k1_ami_3)) & v2_amistd_1(k9_ami_3(B,A),k5_card_1(2),k1_ami_3) & ~ v4_amistd_1(k9_ami_3(B,A),k5_card_1(2),k1_ami_3) ) ) )).
fof(fc23_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v4_msualg_1(E,A) & v4_msafree4(E,A,C) & v17_aofa_a00(E,A) & v20_aofa_a00(E,4,1,A) & v22_aofa_a00(E,A,1,1,11) & l3_msualg_1(E,A) & m1_subset_1(F,k12_aofa_a00(A,C,E,u4_aofa_a00(A,B,C,D))) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A)) & m1_subset_1(G,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) ) => v1_xboolean(k1_funct_1(k1_msafree4(u1_struct_0(A),F,u8_aofa_a00(A)),G)) ) )).
fof(fc23_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_normsp_0(A) & l1_cayldick(A) ) => ( v3_normsp_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc23_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k4_comput_1(2,A)) & v4_relat_1(k4_comput_1(2,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k4_comput_1(2,A)) & v4_valued_0(k4_comput_1(2,A)) & v2_margrel1(k4_comput_1(2,A)) & v8_comput_1(k4_comput_1(2,A),2) ) ) )).
fof(fc23_euclid_9,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_relat_1(k3_euclid_9(k1_xboole_0,A)) & v1_funct_1(k3_euclid_9(k1_xboole_0,A)) & v1_xboole_0(k3_euclid_9(k1_xboole_0,A)) ) ) )).
fof(fc23_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) & m2_exchsort(C,A,B) ) => v5_relat_1(k4_exchsort(C),u1_struct_0(A)) ) )).
fof(fc23_finseq_1,axiom,( ! [A] : v3_card_1(k5_finseq_1(A),1) )).
fof(fc23_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) ) => v1_finset_1(k8_relat_1(A,B)) ) )).
fof(fc23_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_relat_1(k18_finseq_1(A)) & v8_relat_2(k18_finseq_1(A)) ) ) )).
fof(fc23_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v15_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_relat_1(k34_fomodel1(A,B)) & v1_funct_1(k34_fomodel1(A,B)) & v3_card_1(k34_fomodel1(A,B),k1_int_2(k19_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)))) & v1_finseq_1(k34_fomodel1(A,B)) ) ) )).
fof(fc23_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v7_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ~ v15_fomodel1(k7_finseq_1(k43_fomodel1(A,C),B),A) ) )).
fof(fc23_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_funct_1(k18_fomodel3(A,B,C)) ) )).
fof(fc23_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k26_fomodel4(A),A) ) )).
fof(fc23_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => v4_relat_1(k17_funcop_1(B,C),A) ) )).
fof(fc23_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k9_gate_1(B,A,C)) ) )).
fof(fc23_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) & v1_xcmplx_0(B) & v4_gaussint(B) ) => v4_gaussint(k2_xcmplx_0(A,B)) ) )).
fof(fc23_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & l1_vectsp_1(A,k1_complfld) ) => ( v13_algstr_0(k10_hahnban1(A)) & v1_rlvect_1(k10_hahnban1(A)) ) ) )).
fof(fc23_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v3_bilinear(C,k1_complfld,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k3_hermitan(A,B,C)) & v1_funct_2(k3_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v2_hermitan(k3_hermitan(A,B,C),A,B) ) ) )).
fof(fc23_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k16_ideal_1(A,B,C)) ) )).
fof(fc23_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => v1_membered(k9_member_1(A,B)) ) )).
fof(fc23_membered,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_int_1(B) & v1_int_1(C) ) => v5_membered(k1_enumset1(A,B,C)) ) )).
fof(fc23_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & v2_memstr_0(B,A) & l1_memstr_0(B,A) ) => ~ v1_xboole_0(k11_memstr_0(A,B)) ) )).
fof(fc23_moebius2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v2_binop_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v3_lattices(g3_lattices(A,B,C)) & v5_lattices(g3_lattices(A,B,C)) ) ) )).
fof(fc23_ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal1(B) ) => ( v1_relat_1(k5_relat_1(A,B)) & v5_ordinal1(k5_relat_1(A,B)) ) ) )).
fof(fc23_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v2_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k45_valued_1(B,C)) & v1_funct_1(k45_valued_1(B,C)) & v1_partfun3(k45_valued_1(B,C)) ) ) )).
fof(fc23_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) ) => ( v1_relat_1(k7_pcs_0(A,B)) & v4_relat_1(k7_pcs_0(A,B),A) & v1_funct_1(k7_pcs_0(A,B)) & v1_partfun1(k7_pcs_0(A,B),A) & v2_funcop_1(k7_pcs_0(A,B)) ) ) )).
fof(fc23_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v2_pre_poly(k1_valued_1(B,C)) ) ) )).
fof(fc23_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k7_prvect_3(A,B)) & v1_normsp_1(k7_prvect_3(A,B)) & v3_lopban_1(k7_prvect_3(A,B)) ) ) )).
fof(fc23_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => v6_ratfunc1(k8_ratfunc1(A),A) ) )).
fof(fc23_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_relat_1(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v3_relat_1(k5_relat_1(A,B)) ) ) )).
fof(fc23_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v3_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_xreal_0(C) ) => ( v1_relat_1(k24_valued_1(B,C)) & v1_funct_1(k24_valued_1(B,C)) & v3_funct_1(k24_valued_1(B,C)) ) ) )).
fof(fc23_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k6_ring_2(A,B,C)) & v1_funct_2(k6_ring_2(A,B,C),u1_struct_0(k2_ring_1(A,k8_vectsp10(A,B,C))),u1_struct_0(k5_ring_2(A,B,C))) & v3_mod_4(k6_ring_2(A,B,C),k2_ring_1(A,k8_vectsp10(A,B,C)),k5_ring_2(A,B,C)) & v5_mod_4(k6_ring_2(A,B,C),k2_ring_1(A,k8_vectsp10(A,B,C)),k5_ring_2(A,B,C)) ) ) )).
fof(fc23_scmfsa10,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v3_amistd_1(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc23_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k2_compos_2(k1_scmfsa_2,A,B)) & v1_relat_1(k2_compos_2(k1_scmfsa_2,A,B)) & v4_relat_1(k2_compos_2(k1_scmfsa_2,A,B),k4_ordinal1) & v5_relat_1(k2_compos_2(k1_scmfsa_2,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_compos_2(k1_scmfsa_2,A,B)) & v1_finset_1(k2_compos_2(k1_scmfsa_2,A,B)) & v1_afinsq_1(k2_compos_2(k1_scmfsa_2,A,B)) & v3_compos_1(k2_compos_2(k1_scmfsa_2,A,B),k1_scmfsa_2) & v4_compos_1(k2_compos_2(k1_scmfsa_2,A,B),k1_scmfsa_2) & v5_amistd_1(k2_compos_2(k1_scmfsa_2,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc23_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k8_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc23_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v1_scmpds_5(k16_scmpds_2(A,B,C,D)) ) )).
fof(fc23_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v1_amistd_1(k4_xtuple_0(k4_scmring2(A,B,C)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc23_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => ( v4_scmyciel(k12_scmyciel(A)) & v6_scmyciel(k12_scmyciel(A)) ) ) )).
fof(fc23_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & m1_simplex0(B,A) & v2_int_1(C) ) => ~ v3_pencil_1(k8_simplex0(A,B,C)) ) )).
fof(fc23_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k28_sin_cos,k3_xcmplx_0(2,k28_sin_cos)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k28_sin_cos,k3_xcmplx_0(2,k28_sin_cos)))) )).
fof(fc23_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v1_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v1_tops_1(k5_group_2(A,C,B),A) ) )).
fof(fc23_toprealb,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v2_struct_0(k8_toprealb(A)) ) )).
fof(fc23_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( ~ v1_xboole_0(k2_xboole_0(A,B)) & v1_trees_1(k2_xboole_0(A,B)) ) ) )).
fof(fc23_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_valued_0(A) & v1_relat_1(B) ) => v4_valued_0(k3_xboole_0(A,B)) ) )).
fof(fc23_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v1_funct_1(k7_valued_1(A,B)) & v1_finseq_1(k7_valued_1(A,B)) ) ) )).
fof(fc23_valued_2,axiom,( ! [A] : ! [B] : ( v2_membered(B) => v2_valued_2(k4_partfun1(A,B)) ) )).
fof(fc23_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v16_waybel_0(k7_lattice3(A)) ) ) )).
fof(fc23_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) ) => v3_waybel_4(k1_waybel_4(A),A) ) )).
fof(fc23_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( ~ v2_struct_0(k4_waybel_9(A,B,C)) & v6_waybel_0(k4_waybel_9(A,B,C),A) ) ) )).
fof(fc23_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v2_xxreal_0(k3_xcmplx_0(A,B)) ) )).
fof(fc23_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_3(B,A)) & v2_xxreal_0(k3_xxreal_3(B,A)) ) ) )).
fof(fc23_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v4_yellow_6(k11_yellow_6(A),A) & v5_yellow_6(k11_yellow_6(A),A) & v6_yellow_6(k11_yellow_6(A),A) & v7_yellow_6(k11_yellow_6(A),A) ) ) )).
fof(fc24_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & ~ v3_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => v1_finset_1(k1_funct_1(k2_msafree3(A,D),B)) ) )).
fof(fc24_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_relat_1(k63_valued_1(A)) & v1_funct_1(k63_valued_1(A)) & v1_afinsq_1(k63_valued_1(A)) ) ) )).
fof(fc24_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( v1_relat_1(k1_afinsq_2(B)) & v5_relat_1(k1_afinsq_2(B),A) & v1_funct_1(k1_afinsq_2(B)) & v5_ordinal1(k1_afinsq_2(B)) & v1_finset_1(k1_afinsq_2(B)) ) ) )).
fof(fc24_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ( v7_struct_0(g5_algstr_0(A,B,C,D)) & v29_algstr_0(g5_algstr_0(A,B,C,D)) ) ) )).
fof(fc24_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v1_amistd_1(k4_xtuple_0(k2_ami_3(A,B)),k5_card_1(2),k1_ami_3) ) )).
fof(fc24_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l1_cayldick(A) ) => ( v3_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc24_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_relat_1(k4_comput_1(3,A)) & v4_relat_1(k4_comput_1(3,A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k4_comput_1(3,A)) & v4_valued_0(k4_comput_1(3,A)) & v2_margrel1(k4_comput_1(3,A)) & v8_comput_1(k4_comput_1(3,A),3) ) ) )).
fof(fc24_euclid_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) & v1_xreal_0(B) ) => ( v1_relat_1(k3_euclid_9(A,B)) & v1_funct_1(k3_euclid_9(A,B)) & v1_finseq_1(k3_euclid_9(A,B)) ) ) )).
fof(fc24_finseq_1,axiom,( ! [A] : ! [B] : v3_card_1(k10_finseq_1(A,B),2) )).
fof(fc24_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & v1_finset_1(k1_funct_4(A,B)) ) ) )).
fof(fc24_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_relat_1(k18_finseq_1(A)) & v1_relat_2(k18_finseq_1(A)) ) ) )).
fof(fc24_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v5_fomodel1(k8_fomodel1(A),A) ) )).
fof(fc24_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v7_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => ~ v15_fomodel1(k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,D),B),C),A) ) )).
fof(fc24_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_partfun1(k18_fomodel3(A,B,C),k4_finseq_2(B,k8_eqrel_1(A,C))) ) )).
fof(fc24_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k28_fomodel4(A),A) ) )).
fof(fc24_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k1_binop_1(A,B,C)) & v1_funct_1(k1_binop_1(A,B,C)) ) ) )).
fof(fc24_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k9_gate_1(B,C,A)) ) )).
fof(fc24_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) & v1_xcmplx_0(B) & v4_gaussint(B) ) => v4_gaussint(k6_xcmplx_0(A,B)) ) )).
fof(fc24_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ( v1_rlvect_1(k10_hahnban1(A)) & v5_rlvect_1(k10_hahnban1(A)) & v6_rlvect_1(k10_hahnban1(A)) & v7_rlvect_1(k10_hahnban1(A)) & v8_rlvect_1(k10_hahnban1(A)) ) ) )).
fof(fc24_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k3_hermitan(A,B,C)) & v1_funct_2(k3_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v3_bilinear(k3_hermitan(A,B,C),k1_complfld,A,B) ) ) )).
fof(fc24_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_ideal_1(k16_ideal_1(A,B,C),A) ) )).
fof(fc24_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v3_membered(B) ) => v3_membered(k9_member_1(A,B)) ) )).
fof(fc24_membered,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => v6_membered(k1_enumset1(A,B,C)) ) )).
fof(fc24_moebius2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v2_binop_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v3_lattices(g3_lattices(A,B,C)) & v7_lattices(g3_lattices(A,B,C)) ) ) )).
fof(fc24_ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_ordinal6(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v3_ordinal6(k5_relat_1(A,B)) ) ) )).
fof(fc24_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v4_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc24_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) & v9_pcs_0(B) & m1_subset_1(C,A) ) => v4_pcs_0(k1_funct_1(B,C)) ) )).
fof(fc24_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( v1_relat_1(k12_pre_poly(A,B,C)) & v4_relat_1(k12_pre_poly(A,B,C),A) & v1_funct_1(k12_pre_poly(A,B,C)) & v1_partfun1(k12_pre_poly(A,B,C),A) & v2_pre_poly(k12_pre_poly(A,B,C)) ) ) )).
fof(fc24_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_ratfunc1(B,A) ) => ( v5_ratfunc1(k11_ratfunc1(A,B),A) & v6_ratfunc1(k11_ratfunc1(A,B),A) ) ) )).
fof(fc24_relat_1,axiom,( ! [A] : ( ( v1_zfmisc_1(A) & v1_relat_1(A) ) => v1_zfmisc_1(k9_xtuple_0(A)) ) )).
fof(fc24_scmfsa10,axiom,( v1_amistd_1(k4_xtuple_0(k2_compos_1(k1_scmfsa_2)),k5_card_1(3),k1_scmfsa_2) )).
fof(fc24_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k9_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc24_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v5_ordinal1(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & v2_compos_1(k1_ordinal4(A,B),k1_scmpds_2) ) ) )).
fof(fc24_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_amistd_1(k4_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc24_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => ( v4_scmyciel(k12_scmyciel(A)) & v11_scmyciel(k12_scmyciel(A)) ) ) )).
fof(fc24_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_simplex0(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_pre_topc(k11_simplex0(A,B,C)) & v1_matroid0(k11_simplex0(A,B,C)) & v3_matroid0(k11_simplex0(A,B,C)) & ~ v5_simplex0(k11_simplex0(A,B,C)) ) ) )).
fof(fc24_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc24_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v1_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v1_tops_1(k4_group_2(A,C,B),A) ) )).
fof(fc24_toprealb,axiom,( v1_toprealb(k8_toprealb(2)) )).
fof(fc24_toprealc,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k30_valued_1(B)) & v1_funct_2(k30_valued_1(B),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k30_valued_1(B),A,k3_topmetr) ) ) )).
fof(fc24_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v5_trees_3(A) ) => ( ~ v1_xboole_0(k11_trees_3(A)) & v1_finset_1(k11_trees_3(A)) & v1_trees_1(k11_trees_3(A)) ) ) )).
fof(fc24_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_valued_0(A) & v1_relat_1(B) ) => v4_valued_0(k4_xboole_0(A,B)) ) )).
fof(fc24_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v1_funct_1(k13_valued_1(A,B)) & v1_valued_0(k13_valued_1(A,B)) ) ) )).
fof(fc24_valued_2,axiom,( ! [A] : ! [B] : ( v3_membered(B) => v3_valued_2(k4_partfun1(A,B)) ) )).
fof(fc24_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => v4_waybel_4(k1_waybel_4(A),A) ) )).
fof(fc24_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( v5_orders_2(k4_waybel_9(A,B,C)) & v6_waybel_0(k4_waybel_9(A,B,C),A) ) ) )).
fof(fc24_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v2_xxreal_0(k3_xcmplx_0(B,A)) ) )).
fof(fc24_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xxreal_0(B) & v3_xxreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_3(A,B)) & v3_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc24_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m4_yellow_6(B,A) ) => ( ~ v2_struct_0(k12_yellow_6(A,B)) & v1_pre_topc(k12_yellow_6(A,B)) ) ) )).
fof(fc25_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => v1_finset_1(k45_abcmiz_1(A,B)) ) )).
fof(fc25_afinsq_1,axiom,( ! [A] : v4_funct_1(k8_afinsq_1(A)) )).
fof(fc25_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k2_afinsq_2(A,B)) & v1_funct_1(k2_afinsq_2(A,B)) & v2_funct_1(k2_afinsq_2(A,B)) & v5_ordinal1(k2_afinsq_2(A,B)) & v1_finset_1(k2_afinsq_2(A,B)) ) ) )).
fof(fc25_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ( ~ v7_struct_0(g5_algstr_0(A,B,C,D)) & v29_algstr_0(g5_algstr_0(A,B,C,D)) ) ) )).
fof(fc25_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v1_amistd_1(k4_xtuple_0(k3_ami_3(A,B)),k5_card_1(2),k1_ami_3) ) )).
fof(fc25_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l1_cayldick(A) ) => ( v4_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc25_comput_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( v1_relat_1(k3_comput_1(A,B)) & v4_relat_1(k3_comput_1(A,B),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k3_comput_1(A,B)) & v4_valued_0(k3_comput_1(A,B)) & v2_margrel1(k3_comput_1(A,B)) & v7_comput_1(k3_comput_1(A,B)) ) ) )).
fof(fc25_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) & v1_xreal_0(C) & ~ v2_xxreal_0(C) ) => v1_xboole_0(k4_euclid_9(A,B,C)) ) )).
fof(fc25_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : v3_card_1(k11_finseq_1(A,B,C),3) )).
fof(fc25_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_finset_1(B) ) => ( v1_relat_1(k6_relat_1(A,B)) & v1_finset_1(k6_relat_1(A,B)) ) ) )).
fof(fc25_fomodel0,axiom,( ! [A] : ( v4_funct_1(A) => v1_relat_1(k3_tarski(A)) ) )).
fof(fc25_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v9_fomodel1(k8_fomodel1(A),A) ) )).
fof(fc25_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v7_fomodel1(k8_fomodel1(A),A) ) )).
fof(fc25_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( v1_relat_1(k8_fomodel3(B,C,D,A)) & v1_funct_1(k8_fomodel3(B,C,D,A)) ) ) )).
fof(fc25_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k30_fomodel2(A))) ) => v5_fomodel4(k4_tarski(k2_xboole_0(C,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B)),B),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k1_xboole_0) ) )).
fof(fc25_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) ) => v1_xboole_0(k10_gate_1(A,B,C)) ) )).
fof(fc25_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) & v1_xcmplx_0(B) & v4_gaussint(B) ) => v4_gaussint(k3_xcmplx_0(A,B)) ) )).
fof(fc25_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & v2_hahnban(B,k10_hahnban1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) => ( v1_funct_1(k13_hahnban1(A,B)) & v1_funct_2(k13_hahnban1(A,B),u1_struct_0(A),k1_numbers) & v4_hahnban1(k13_hahnban1(A,B),k1_complfld,A) ) ) )).
fof(fc25_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & ~ v3_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k3_hermitan(A,B,C)) & ~ v3_funct_1(k3_hermitan(A,B,C)) & v1_funct_2(k3_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) ) ) )).
fof(fc25_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_ideal_1(k16_ideal_1(A,B,C),A) ) )).
fof(fc25_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v4_membered(B) ) => v4_membered(k9_member_1(A,B)) ) )).
fof(fc25_membered,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => v1_membered(k2_xboole_0(A,B)) ) )).
fof(fc25_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v1_xboole_0(k3_moebius1(A)) ) )).
fof(fc25_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) & v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => v15_msafree5(k3_msafree5(A,k1_msafree3(A,B),E),A,C) ) )).
fof(fc25_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ~ v4_card_3(k1_classes1(k2_xboole_0(A,k4_ordinal1))) ) )).
fof(fc25_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v4_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc25_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) & v10_pcs_0(B) & m1_subset_1(C,A) ) => v5_pcs_0(k1_funct_1(B,C)) ) )).
fof(fc25_pre_poly,axiom,( ! [A] : ~ v1_xboole_0(k14_pre_poly(A)) )).
fof(fc25_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v4_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => ~ v4_ratfunc1(k11_ratfunc1(A,B),A) ) )).
fof(fc25_relat_1,axiom,( ! [A] : ( ( v1_zfmisc_1(A) & v1_relat_1(A) ) => v1_zfmisc_1(k10_xtuple_0(A)) ) )).
fof(fc25_ring_2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ~ v1_gcd_1(k4_struct_0(A),A) ) )).
fof(fc25_scmfsa10,axiom,( v2_amistd_1(k2_compos_1(k1_scmfsa_2),k5_card_1(3),k1_scmfsa_2) )).
fof(fc25_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k10_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc25_scmpds_5,axiom,( ! [A] : ( ( v6_compos_0(A,u1_compos_1(k1_scmpds_2)) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) ) => v2_compos_1(k3_afinsq_1(A),k1_scmpds_2) ) )).
fof(fc25_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v1_amistd_1(k4_xtuple_0(k5_scmring2(A,B,C)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc25_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & v7_ordinal1(B) ) => v4_scmyciel(k1_funct_1(k13_scmyciel(A),B)) ) )).
fof(fc25_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_pencil_1(B) & m1_simplex0(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_pre_topc(k11_simplex0(A,B,C)) & v4_simplex0(k11_simplex0(A,B,C)) ) ) )).
fof(fc25_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) & v2_funct_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(fc25_toprealb,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & v1_xreal_0(B) & ~ v3_xxreal_0(B) ) => v1_borsuk_2(k7_toprealb(2,A,B)) ) )).
fof(fc25_toprealc,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k35_valued_1(B)) & v1_funct_2(k35_valued_1(B),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k35_valued_1(B),A,k3_topmetr) ) ) )).
fof(fc25_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ( ~ v1_xboole_0(k12_trees_3(A)) & v1_finset_1(k12_trees_3(A)) & v1_trees_1(k12_trees_3(A)) ) ) )).
fof(fc25_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_valued_0(B) ) => v1_valued_0(k5_xboole_0(A,B)) ) )).
fof(fc25_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v1_funct_1(k13_valued_1(A,B)) & v3_valued_0(k13_valued_1(A,B)) ) ) )).
fof(fc25_valued_2,axiom,( ! [A] : ! [B] : ( v4_membered(B) => v4_valued_2(k4_partfun1(A,B)) ) )).
fof(fc25_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => v6_waybel_4(k1_waybel_4(A),A) ) )).
fof(fc25_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v5_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( v5_orders_2(k4_waybel_9(A,B,C)) & v6_waybel_0(k4_waybel_9(A,B,C),A) ) ) )).
fof(fc25_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v3_xxreal_0(k3_xcmplx_0(A,B)) ) )).
fof(fc25_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xxreal_0(B) & v3_xxreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_3(A,B)) & v2_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc25_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m4_yellow_6(B,A) ) => ( v1_pre_topc(k12_yellow_6(A,B)) & v2_pre_topc(k12_yellow_6(A,B)) ) ) )).
fof(fc26_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => v1_finset_1(k47_abcmiz_1(A,B)) ) )).
fof(fc26_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_relat_1(k63_valued_1(A)) & v1_funct_1(k63_valued_1(A)) & v1_afinsq_1(k63_valued_1(A)) ) ) )).
fof(fc26_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k2_afinsq_2(B,C)) & v5_relat_1(k2_afinsq_2(B,C),A) & v1_funct_1(k2_afinsq_2(B,C)) & v5_ordinal1(k2_afinsq_2(B,C)) & v1_finset_1(k2_afinsq_2(B,C)) ) ) )).
fof(fc26_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v1_amistd_1(k4_xtuple_0(k4_ami_3(A,B)),k5_card_1(2),k1_ami_3) ) )).
fof(fc26_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_algstr_1(A) & l1_cayldick(A) ) => ( v1_algstr_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc26_comput_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) & v8_comput_1(A,k5_numbers) & v1_relat_1(B) & v1_funct_1(B) & v7_comput_1(B) & v8_comput_1(B,2) ) => ( v7_comput_1(k7_comput_1(A,B,1)) & v8_comput_1(k7_comput_1(A,B,1),1) ) ) )).
fof(fc26_euclid_9,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k14_euclid(k5_numbers))) & v1_xreal_0(B) ) => ~ v1_xboole_0(k4_euclid_9(k5_numbers,A,B)) ) )).
fof(fc26_finseq_1,axiom,( ! [A] : v3_finseq_1(k13_finseq_1(A)) )).
fof(fc26_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_finset_1(B) ) => ( v1_relat_1(k5_relat_1(B,A)) & v1_finset_1(k5_relat_1(B,A)) ) ) )).
fof(fc26_fomodel0,axiom,( ! [A] : v1_xboole_0(k4_xboole_0(A,A)) )).
fof(fc26_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v8_ordinal1(B) & v14_fomodel1(C,B,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v8_ordinal1(k38_fomodel1(A,C)) ) )).
fof(fc26_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ v15_fomodel1(k7_finseq_1(k43_fomodel1(A,k1_fomodel2(A)),B),A) ) )).
fof(fc26_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & v8_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => v1_xboole_0(k5_xboole_0(k8_fomodel3(A,B,D,C),k3_fomodel2(k1_tarski(k1_xboole_0)))) ) )).
fof(fc26_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B,C),B),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k1_xboole_0) ) )).
fof(fc26_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ~ v1_xboole_0(k10_gate_1(A,B,C)) ) )).
fof(fc26_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) & v1_rat_1(B) ) => v4_gaussint(k3_xcmplx_0(B,A)) ) )).
fof(fc26_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_ideal_1(k16_ideal_1(A,B,C),A) ) )).
fof(fc26_member_1,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v5_membered(B) ) => v5_membered(k9_member_1(A,B)) ) )).
fof(fc26_membered,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => v2_membered(k2_xboole_0(A,B)) ) )).
fof(fc26_moebius2,axiom,( v1_funct_1(k1_nat_lat) & v1_funct_2(k1_nat_lat,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & v1_binop_1(k1_nat_lat,k4_ordinal1) & v2_binop_1(k1_nat_lat,k4_ordinal1) )).
fof(fc26_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => v3_finseq_1(k10_relat_1(C,D)) ) )).
fof(fc26_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v3_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc26_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) & v11_pcs_0(B) & m1_subset_1(C,A) ) => v6_pcs_0(k1_funct_1(B,C)) ) )).
fof(fc26_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k17_pre_poly(A),k15_pre_poly(A)) & v1_relat_2(k17_pre_poly(A)) & v4_relat_2(k17_pre_poly(A)) & v8_relat_2(k17_pre_poly(A)) & v3_orders_1(k17_pre_poly(A)) ) ) )).
fof(fc26_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,B) ) => ( v1_relat_1(k5_relat_1(C,A)) & v5_relat_1(k5_relat_1(C,A),B) ) ) )).
fof(fc26_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l4_algstr_0(A) ) => v1_gcd_1(k5_struct_0(A),A) ) )).
fof(fc26_scmfsa10,axiom,( ! [A] : ( v7_ordinal1(A) => v1_amistd_1(k4_xtuple_0(k11_scmfsa_2(A)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc26_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => v6_compos_0(k11_scmfsa_2(A),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc26_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v6_compos_0(A,u1_compos_1(k1_scmpds_2)) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) ) => ( v1_relat_1(k2_scmpds_4(A,B)) & v4_relat_1(k2_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k2_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_4(A,B)) & v1_funct_1(k2_scmpds_4(A,B)) & v1_finset_1(k2_scmpds_4(A,B)) & v1_afinsq_1(k2_scmpds_4(A,B)) & v2_compos_1(k2_scmpds_4(A,B),k1_scmpds_2) ) ) )).
fof(fc26_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_amistd_1(k5_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc26_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & v6_scmyciel(A) & v7_ordinal1(B) ) => v6_scmyciel(k1_funct_1(k13_scmyciel(A),B)) ) )).
fof(fc26_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_matroid0(B) & m1_simplex0(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_pre_topc(k11_simplex0(A,B,C)) & v4_matroid0(k11_simplex0(A,B,C)) ) ) )).
fof(fc26_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(fc26_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ( ~ v2_struct_0(k11_toprealb(A)) & v1_pre_topc(k11_toprealb(A)) ) ) )).
fof(fc26_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => ( v1_funct_1(k7_valued_1(B,C)) & v1_funct_2(k7_valued_1(B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k7_valued_1(B,C),A,k3_topmetr) ) ) )).
fof(fc26_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ( ~ v1_xboole_0(k13_trees_3(A,B)) & v1_finset_1(k13_trees_3(A,B)) & v1_trees_1(k13_trees_3(A,B)) ) ) )).
fof(fc26_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_valued_0(A) & v1_relat_1(B) & v2_valued_0(B) ) => v2_valued_0(k5_xboole_0(A,B)) ) )).
fof(fc26_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_rat_1(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v5_relat_1(k13_valued_1(A,B),k3_numbers) & v1_funct_1(k13_valued_1(A,B)) ) ) )).
fof(fc26_valued_2,axiom,( ! [A] : ! [B] : ( v5_membered(B) => v5_valued_2(k4_partfun1(A,B)) ) )).
fof(fc26_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k12_waybel_4(A)) ) )).
fof(fc26_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( v4_orders_2(k4_waybel_9(A,B,C)) & v6_waybel_0(k4_waybel_9(A,B,C),A) ) ) )).
fof(fc26_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v3_xxreal_0(k3_xcmplx_0(A,B)) ) )).
fof(fc26_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xxreal_0(B) & v2_xxreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_3(A,B)) & v2_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc27_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v1_relat_1(k16_afinsq_1(A,B,C,D)) & v1_funct_1(k16_afinsq_1(A,B,C,D)) ) )).
fof(fc27_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( v1_relat_1(k3_afinsq_2(B,C,D)) & v5_relat_1(k3_afinsq_2(B,C,D),A) & v1_funct_1(k3_afinsq_2(B,C,D)) & v5_ordinal1(k3_afinsq_2(B,C,D)) & v1_finset_1(k3_afinsq_2(B,C,D)) ) ) )).
fof(fc27_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v1_amistd_1(k4_xtuple_0(k5_ami_3(A,B)),k5_card_1(2),k1_ami_3) ) )).
fof(fc27_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & l1_cayldick(A) ) => ( v13_algstr_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc27_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) & v8_comput_1(A,1) & v1_relat_1(B) & v1_funct_1(B) & v7_comput_1(B) & v8_comput_1(B,3) ) => ( v7_comput_1(k7_comput_1(A,B,1)) & v8_comput_1(k7_comput_1(A,B,1),2) ) ) )).
fof(fc27_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ~ v1_xboole_0(k4_euclid_9(A,B,C)) ) )).
fof(fc27_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,B) & v1_finseq_1(D) ) => ( v1_relat_1(k7_finseq_1(C,D)) & v1_funct_1(k7_finseq_1(C,D)) & v3_card_1(k7_finseq_1(C,D),k2_xcmplx_0(A,B)) & v1_finseq_1(k7_finseq_1(C,D)) ) ) )).
fof(fc27_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k5_relat_1(B,A)) & v1_finset_1(k5_relat_1(B,A)) ) ) )).
fof(fc27_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => v1_xboole_0(k4_xboole_0(k6_domain_1(A,k3_funct_2(A,A,k6_partfun1(A),B)),k6_domain_1(A,B))) ) )).
fof(fc27_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v5_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ~ v8_ordinal1(k19_fomodel1(A,B)) ) )).
fof(fc27_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ v15_fomodel1(k7_finseq_1(k43_fomodel1(A,B),C),A) ) )).
fof(fc27_fomodel3,axiom,( ! [A] : ! [B] : ( v4_funct_1(B) => v4_funct_1(k3_xboole_0(A,B)) ) )).
fof(fc27_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B),B),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k1_xboole_0) ) )).
fof(fc27_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ~ v1_xboole_0(k10_gate_1(A,C,B)) ) )).
fof(fc27_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & v4_gaussint(k4_xcmplx_0(A)) ) ) )).
fof(fc27_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & v3_hahnban(B,k10_hahnban1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) => ( v1_funct_1(k13_hahnban1(A,B)) & v1_funct_2(k13_hahnban1(A,B),u1_struct_0(A),k1_numbers) & v5_hahnban1(k13_hahnban1(A,B),A) ) ) )).
fof(fc27_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k17_ideal_1(A,B)) ) )).
fof(fc27_member_1,axiom,( ! [A] : ! [B] : ( ( v6_membered(A) & v6_membered(B) ) => v6_membered(k9_member_1(A,B)) ) )).
fof(fc27_membered,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v3_membered(B) ) => v3_membered(k2_xboole_0(A,B)) ) )).
fof(fc27_moebius2,axiom,( v1_funct_1(k2_nat_lat) & v1_funct_2(k2_nat_lat,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & v1_binop_1(k2_nat_lat,k4_ordinal1) & v2_binop_1(k2_nat_lat,k4_ordinal1) )).
fof(fc27_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k11_mcart_1(A)) & v1_funct_1(k11_mcart_1(A)) & v1_finseq_1(k11_mcart_1(A)) ) ) )).
fof(fc27_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v3_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc27_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( v4_funct_1(k18_pre_poly(A,B)) & ~ v1_xboole_0(k18_pre_poly(A,B)) ) ) )).
fof(fc27_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) ) => ( v1_relat_1(k5_relat_1(C,A)) & v4_relat_1(k5_relat_1(C,A),A) & v4_relat_1(k5_relat_1(C,A),B) ) ) )).
fof(fc27_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v1_gcd_1(B,A) & m1_subset_1(B,u1_struct_0(A)) & v1_gcd_1(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => v1_gcd_1(k6_algstr_0(A,B,C),A) ) )).
fof(fc27_scmfsa10,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v4_compos_0(k11_scmfsa_2(A),u1_compos_1(k1_scmfsa_2)) & v2_amistd_1(k11_scmfsa_2(A),k5_card_1(3),k1_scmfsa_2) & ~ v4_amistd_1(k11_scmfsa_2(A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc27_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k12_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc27_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v6_compos_0(B,u1_compos_1(k1_scmpds_2)) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k3_scmpds_4(A,B)) & v4_relat_1(k3_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k3_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_4(A,B)) & v1_funct_1(k3_scmpds_4(A,B)) & v1_finset_1(k3_scmpds_4(A,B)) & v1_afinsq_1(k3_scmpds_4(A,B)) & v2_compos_1(k3_scmpds_4(A,B),k1_scmpds_2) ) ) )).
fof(fc27_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v1_amistd_1(k4_xtuple_0(k6_scmring2(A,B,C)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc27_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & v11_scmyciel(A) & v7_ordinal1(B) ) => v11_scmyciel(k1_funct_1(k13_scmyciel(A),B)) ) )).
fof(fc27_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_simplex0(B) & m1_simplex0(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_pre_topc(k11_simplex0(A,B,C)) & v2_simplex0(k11_simplex0(A,B,C)) ) ) )).
fof(fc27_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) & v2_funct_1(k5_relat_1(k18_sin_cos,k2_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) )).
fof(fc27_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ( v1_pre_topc(k11_toprealb(A)) & v1_tsep_1(k11_toprealb(A),k8_toprealb(2)) ) ) )).
fof(fc27_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => ( v1_funct_1(k13_valued_1(B,C)) & v1_funct_2(k13_valued_1(B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k13_valued_1(B,C),A,k3_topmetr) ) ) )).
fof(fc27_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k5_trees_3(A)) ) => v1_finset_1(k9_xtuple_0(B)) ) )).
fof(fc27_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_valued_0(A) & v1_relat_1(B) & v3_valued_0(B) ) => v3_valued_0(k5_xboole_0(A,B)) ) )).
fof(fc27_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_int_1(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v5_relat_1(k13_valued_1(A,B),k4_numbers) & v1_funct_1(k13_valued_1(A,B)) ) ) )).
fof(fc27_valued_2,axiom,( ! [A] : ! [B] : ( v6_membered(B) => v6_valued_2(k4_partfun1(A,B)) ) )).
fof(fc27_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => v8_waybel_4(k1_waybel_4(A),A) ) )).
fof(fc27_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( v4_orders_2(k4_waybel_9(A,B,C)) & v6_waybel_0(k4_waybel_9(A,B,C),A) & v7_waybel_0(k4_waybel_9(A,B,C)) ) ) )).
fof(fc27_xreal_0,axiom,( ! [A] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) ) => ( v1_xcmplx_0(k5_xcmplx_0(A)) & v2_xxreal_0(k5_xcmplx_0(A)) ) ) )).
fof(fc27_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_3(A,B)) & ~ v2_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc28_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v5_ordinal1(k16_afinsq_1(A,B,C,D)) & v1_finset_1(k16_afinsq_1(A,B,C,D)) ) )).
fof(fc28_afinsq_2,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => ( v1_relat_1(k4_afinsq_2(A)) & v5_relat_1(k4_afinsq_2(A),k4_ordinal1) & v1_funct_1(k4_afinsq_2(A)) & v2_funct_1(k4_afinsq_2(A)) & v5_ordinal1(k4_afinsq_2(A)) & v1_finset_1(k4_afinsq_2(A)) ) ) )).
fof(fc28_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v1_amistd_1(k4_xtuple_0(k6_ami_3(A,B)),k5_card_1(2),k1_ami_3) ) )).
fof(fc28_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_algstr_0(A) & l1_cayldick(A) ) => ( v12_algstr_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc28_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) & v8_comput_1(A,1) & v1_relat_1(B) & v1_funct_1(B) & v7_comput_1(B) & v8_comput_1(B,3) ) => ( v7_comput_1(k7_comput_1(A,B,2)) & v8_comput_1(k7_comput_1(A,B,2),2) ) ) )).
fof(fc28_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) & v1_xreal_0(C) ) => v3_pre_topc(k4_euclid_9(A,B,C),k3_pcomps_1(k14_euclid(A))) ) )).
fof(fc28_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_finseq_1(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => v1_finseq_1(k1_funct_1(B,C)) ) )).
fof(fc28_finset_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_finset_1(A) ) => v1_finset_1(k1_relat_1(A)) ) )).
fof(fc28_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finseq_1(C) ) => ( v1_relat_1(k7_finseq_1(B,C)) & v5_relat_1(k7_finseq_1(B,C),A) & v1_funct_1(k7_finseq_1(B,C)) & v1_finseq_1(k7_finseq_1(B,C)) ) ) )).
fof(fc28_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v8_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ( v1_xxreal_0(k19_fomodel1(A,B)) & ~ v3_xxreal_0(k19_fomodel1(A,B)) ) ) )).
fof(fc28_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => v5_fomodel2(k7_finseq_1(k43_fomodel1(A,C),B),A) ) )).
fof(fc28_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_relat_1(k22_fomodel3(A,B,D,C)) & v4_relat_1(k22_fomodel3(A,B,D,C),k37_fomodel1(A)) & v1_funct_1(k22_fomodel3(A,B,D,C)) ) ) )).
fof(fc28_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel4(k1_tarski(k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B),B)),A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k1_xboole_0) ) )).
fof(fc28_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ~ v1_xboole_0(k10_gate_1(C,A,B)) ) )).
fof(fc28_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => ( v1_xcmplx_0(k5_xcmplx_0(A)) & v4_gaussint(k5_xcmplx_0(A)) ) ) )).
fof(fc28_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B)) & v4_relat_1(k13_glib_000(A,k3_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,B)) & v1_finset_1(k13_glib_000(A,k3_glib_003,B)) & v1_glib_003(k13_glib_000(A,k3_glib_003,B)) ) ) )).
fof(fc28_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v2_hermitan(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) ) => ~ v1_xboole_0(k12_bilinear(k1_complfld,A,B)) ) )).
fof(fc28_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_ideal_1(k17_ideal_1(A,B),A) ) )).
fof(fc28_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k10_member_1(A,B)) ) )).
fof(fc28_membered,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v4_membered(B) ) => v4_membered(k2_xboole_0(A,B)) ) )).
fof(fc28_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k12_mcart_1(A)) & v1_funct_1(k12_mcart_1(A)) & v1_finseq_1(k12_mcart_1(A)) ) ) )).
fof(fc28_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v2_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v2_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc28_relat_1,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v4_relat_1(k4_relat_1(A),A) & v5_relat_1(k4_relat_1(A),A) ) )).
fof(fc28_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => v1_amistd_1(k4_xtuple_0(k12_scmfsa_2(B,A)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc28_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k13_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc28_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v6_compos_0(A,u1_compos_1(k1_scmpds_2)) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v6_compos_0(B,u1_compos_1(k1_scmpds_2)) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k4_scmpds_4(A,B)) & v4_relat_1(k4_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k4_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_4(A,B)) & v1_funct_1(k4_scmpds_4(A,B)) & v1_finset_1(k4_scmpds_4(A,B)) & v1_afinsq_1(k4_scmpds_4(A,B)) & v2_compos_1(k4_scmpds_4(A,B),k1_scmpds_2) ) ) )).
fof(fc28_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_amistd_1(k6_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc28_scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v4_scmyciel(A) & v7_ordinal1(B) ) => v1_finset_1(k1_funct_1(k13_scmyciel(A),B)) ) )).
fof(fc28_sin_cos6,axiom,( ! [A] : v1_xreal_0(k2_sin_cos6(A)) )).
fof(fc28_toprealb,axiom,( v1_funct_1(k12_toprealb) & v1_funct_2(k12_toprealb,u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2))) & v5_pre_topc(k12_toprealb,k2_topalg_2,k8_toprealb(2)) )).
fof(fc28_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => ( v1_funct_1(k24_valued_1(B,C)) & v1_funct_2(k24_valued_1(B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k24_valued_1(B,C),A,k3_topmetr) ) ) )).
fof(fc28_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) ) => v5_relat_1(k5_xboole_0(A,B),k3_numbers) ) )).
fof(fc28_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k13_valued_1(C,D)) & v1_partfun1(k13_valued_1(C,D),A) ) ) )).
fof(fc28_valued_2,axiom,( ! [A] : ! [B] : ( v1_membered(B) => v1_valued_2(k1_funct_2(A,B)) ) )).
fof(fc28_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v2_struct_0(D) & l1_waybel_0(D,A) ) => ( ~ v2_struct_0(k6_waybel_9(A,B,C,D)) & v6_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) )).
fof(fc28_xreal_0,axiom,( ! [A] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) ) => ( v1_xcmplx_0(k5_xcmplx_0(A)) & ~ v2_xxreal_0(k5_xcmplx_0(A)) ) ) )).
fof(fc28_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_3(A,B)) & ~ v3_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc29_abcmiz_1,axiom,( ~ v2_struct_0(k49_abcmiz_1) & v1_orders_2(k49_abcmiz_1) & v3_orders_2(k49_abcmiz_1) & v4_orders_2(k49_abcmiz_1) & v5_orders_2(k49_abcmiz_1) & v1_lattice3(k49_abcmiz_1) & v2_lattice3(k49_abcmiz_1) )).
fof(fc29_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( v1_relat_1(k5_afinsq_2(B,C)) & v5_relat_1(k5_afinsq_2(B,C),A) & v1_funct_1(k5_afinsq_2(B,C)) & v5_ordinal1(k5_afinsq_2(B,C)) & v1_finset_1(k5_afinsq_2(B,C)) ) ) )).
fof(fc29_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ~ v2_struct_0(g6_algstr_0(A,B,C,D,E)) & v36_algstr_0(g6_algstr_0(A,B,C,D,E)) ) ) )).
fof(fc29_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_amistd_1(k2_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc29_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l1_cayldick(A) ) => ( v2_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc29_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) ) => ( v1_relat_1(k14_comput_1(A)) & v4_relat_1(k14_comput_1(A),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k14_comput_1(A)) & v4_valued_0(k14_comput_1(A)) ) ) )).
fof(fc29_euclid_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k14_euclid(A))) ) => ( ~ v1_xboole_0(k5_euclid_9(A,B)) & v1_tops_2(k5_euclid_9(A,B),k3_pcomps_1(k14_euclid(A))) & v1_yellow_8(k5_euclid_9(A,B),k3_pcomps_1(k14_euclid(A)),k2_euclid_9(A,B)) ) ) )).
fof(fc29_finseq_1,axiom,( ! [A] : ( v1_finset_1(A) => ( v2_funct_1(k19_finseq_1(A)) & v2_funct_2(k19_finseq_1(A),A) ) ) )).
fof(fc29_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : v1_finset_1(k4_funct_4(A,B,C,D)) )).
fof(fc29_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v3_fomodel0(C,A) ) => v3_fomodel0(k7_relat_1(k9_fomodel0(A),k4_finseq_2(B,C)),A) ) )).
fof(fc29_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ( v1_xxreal_0(k19_fomodel1(A,B)) & v3_xxreal_0(k19_fomodel1(A,B)) ) ) )).
fof(fc29_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v15_fomodel1(B,A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v7_ordinal1(k29_fomodel2(A,B)) & ~ v8_ordinal1(k29_fomodel2(A,B)) ) ) )).
fof(fc29_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v9_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) & v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,A,B) & v3_fomodel3(E,A,B,C) ) => v2_fomodel3(k1_funct_1(E,D),A,B,D,C) ) )).
fof(fc29_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k24_fomodel4(A),A) ) )).
fof(fc29_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_xboole_0(C) ) => v1_xboole_0(k10_gate_1(A,B,C)) ) )).
fof(fc29_gaussint,axiom,( ~ v1_xboole_0(k8_gaussint) )).
fof(fc29_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,B)) & v4_relat_1(k13_glib_000(A,k4_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,B)) & v1_finset_1(k13_glib_000(A,k4_glib_003,B)) & v1_glib_003(k13_glib_000(A,k4_glib_003,B)) ) ) )).
fof(fc29_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k15_bilinear(k1_complfld,A,B,C)) & v1_funct_2(k15_bilinear(k1_complfld,A,B,C),k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(k15_bilinear(k1_complfld,A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),B) & v2_bilinear(k15_bilinear(k1_complfld,A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),B) & v4_bilinear(k15_bilinear(k1_complfld,A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),B) & v2_hermitan(k15_bilinear(k1_complfld,A,B,C),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),B) ) ) )).
fof(fc29_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_ideal_1(k17_ideal_1(A,B),A) ) )).
fof(fc29_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k10_member_1(B,A)) ) )).
fof(fc29_membered,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v5_membered(B) ) => v5_membered(k2_xboole_0(A,B)) ) )).
fof(fc29_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v2_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v2_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc29_pre_poly,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ( v2_funct_1(k20_pre_poly(A,B)) & ~ v1_xboole_0(k20_pre_poly(A,B)) ) ) )).
fof(fc29_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_relat_1(C) ) => ( v1_relat_1(k3_relat_1(C,B)) & v5_relat_1(k3_relat_1(C,B),A) ) ) )).
fof(fc29_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => v1_amistd_1(k4_xtuple_0(k13_scmfsa_2(B,A)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc29_scmfsa_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k14_scmfsa_2(C,B,A),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc29_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_scmpds_4(B) & v3_scmpds_4(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v4_relat_1(k1_ordinal4(A,B),k4_ordinal1) & v5_relat_1(k1_ordinal4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & v1_finset_1(k1_ordinal4(A,B)) & v1_afinsq_1(k1_ordinal4(A,B)) & v2_scmpds_4(k1_ordinal4(A,B)) ) ) )).
fof(fc29_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_amistd_1(k4_xtuple_0(k7_scmring2(A,B,C)),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc29_sin_cos6,axiom,( v1_funct_1(k1_sin_cos6) & v2_funct_1(k1_sin_cos6) )).
fof(fc29_toprealb,axiom,( v1_funct_1(k12_toprealb) & v1_funct_2(k12_toprealb,u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2))) & v2_funct_2(k12_toprealb,u1_struct_0(k8_toprealb(2))) )).
fof(fc29_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => ( v1_funct_1(k14_valued_2(B,C)) & v1_funct_2(k14_valued_2(B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k14_valued_2(B,C),A,k3_topmetr) ) ) )).
fof(fc29_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) ) => v5_relat_1(k5_xboole_0(A,B),k4_numbers) ) )).
fof(fc29_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k13_valued_1(C,D)) & v1_partfun1(k13_valued_1(C,D),A) ) ) )).
fof(fc29_valued_2,axiom,( ! [A] : ! [B] : ( v2_membered(B) => v2_valued_2(k1_funct_2(A,B)) ) )).
fof(fc29_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_orders_2(D) & l1_waybel_0(D,A) ) => ( v3_orders_2(k6_waybel_9(A,B,C,D)) & v6_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) )).
fof(fc29_xreal_0,axiom,( ! [A] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) ) => ( v1_xcmplx_0(k5_xcmplx_0(A)) & v3_xxreal_0(k5_xcmplx_0(A)) ) ) )).
fof(fc29_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_3(A,B)) & ~ v3_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc2_abcmiz_0,axiom,( ! [A] : ( ( ~ v4_abcmiz_0(A) & l1_abcmiz_0(A) ) => ~ v1_xboole_0(u1_abcmiz_0(A)) ) )).
fof(fc2_abcmiz_1,axiom,( ~ v1_xboole_0(k2_abcmiz_1) )).
fof(fc2_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => v1_xtuple_0(k1_funct_1(B,k1_xboole_0)) ) )).
fof(fc2_abian,axiom,( ! [A] : ( ( v1_int_1(A) & v1_abian(A) ) => ~ v1_abian(k2_xcmplx_0(A,1)) ) )).
fof(fc2_absred_0,axiom,( ~ v2_struct_0(k1_absred_0) & v1_absred_0(k1_absred_0) )).
fof(fc2_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_xreal_0(k1_absvalue(A)) & v1_int_1(k1_absvalue(A)) ) ) )).
fof(fc2_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_finset_1(k5_relat_1(A,B)) ) ) )).
fof(fc2_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v1_incsp_1(k13_afproj(A)) & v5_incproj(k13_afproj(A)) ) ) )).
fof(fc2_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v8_algstr_0(k5_afvect0(A,B)) & v13_algstr_0(k5_afvect0(A,B)) & v2_rlvect_1(k5_afvect0(A,B)) & v3_rlvect_1(k5_afvect0(A,B)) & v4_rlvect_1(k5_afvect0(A,B)) ) ) )).
fof(fc2_algspec1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v1_msafree1(B,A) & l3_msualg_1(B,A) ) => ( v1_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v2_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) ) ) )).
fof(fc2_algstr_1,axiom,( v2_rlvect_1(k3_algstr_0) )).
fof(fc2_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_altcat_1(A)) & v2_altcat_1(k7_altcat_1(A)) & v6_altcat_1(k7_altcat_1(A)) & v10_altcat_1(k7_altcat_1(A)) & v11_altcat_1(k7_altcat_1(A)) & v12_altcat_1(k7_altcat_1(A)) ) ) )).
fof(fc2_altcat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A)) & v1_funcop_1(k2_funct_4(A)) ) ) )).
fof(fc2_altcat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_altcat_3(k8_altcat_1(A,B),A,B,B) & v2_altcat_3(k8_altcat_1(A,B),A,B,B) & v4_altcat_3(k8_altcat_1(A,B),A,B,B) & v5_altcat_3(k8_altcat_1(A,B),A,B,B) ) ) )).
fof(fc2_altcat_6,axiom,( ~ v2_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))) & v6_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) & v10_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) & v3_altcat_6(k7_altcat_1(k1_tarski(k1_xboole_0))) )).
fof(fc2_ami_2,axiom,( v1_relat_1(k3_relat_1(k3_ami_2,k4_ami_2)) & v2_relat_1(k3_relat_1(k3_ami_2,k4_ami_2)) )).
fof(fc2_ami_3,axiom,( ~ v2_struct_0(k1_ami_3) & v1_extpro_1(k1_ami_3,k5_card_1(2)) )).
fof(fc2_ami_4,axiom,( v1_relat_1(k1_ami_4) & v4_relat_1(k1_ami_4,k4_ordinal1) & v5_relat_1(k1_ami_4,u1_compos_1(k1_ami_3)) & v1_funct_1(k1_ami_4) & v1_finset_1(k1_ami_4) & ~ v2_compos_1(k1_ami_4,k1_ami_3) )).
fof(fc2_ami_5,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v3_amistd_5(k1_ami_3,k5_card_1(2)) )).
fof(fc2_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_amistd_1(k2_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc2_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_compos_1(B)) & v7_ordinal1(D) ) => ~ v1_xboole_0(k1_amistd_1(A,B,D,C)) ) )).
fof(fc2_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & v2_amistd_2(k4_amistd_1(A),A) ) ) )).
fof(fc2_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => v1_xboole_0(k8_struct_0(k4_amistd_1(A))) ) )).
fof(fc2_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_analmetr(A) ) => ( ~ v2_struct_0(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_analoaf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(fc2_analort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k6_analort(A,B,C)) & v1_analmetr(k6_analort(A,B,C)) ) ) )).
fof(fc2_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k5_anproj_1(A)) & v1_collsp(k5_anproj_1(A)) ) ) )).
fof(fc2_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_collsp(k5_anproj_1(A)) & v2_anproj_2(k5_anproj_1(A)) ) ) )).
fof(fc2_aofa_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v2_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc2_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( v2_relat_1(k1_aofa_a01(A,B,C)) & v10_msafree4(k1_aofa_a01(A,B,C),A,C,k5_msafree4(A,C)) ) ) )).
fof(fc2_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(D) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v2_relat_1(k1_funct_7(B,C,D)) & v1_funct_1(k1_funct_7(B,C,D)) ) ) )).
fof(fc2_armstrng,axiom,( ! [A] : ~ v1_xboole_0(k4_armstrng(A)) )).
fof(fc2_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k3_arrow(A)) ) )).
fof(fc2_arytm_2,axiom,( ~ v1_xboole_0(k2_arytm_2) )).
fof(fc2_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => ( v3_ordinal1(k7_ordinal3(A,B)) & v7_ordinal1(k7_ordinal3(A,B)) ) ) )).
fof(fc2_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k5_asympt_0(A,B)) & v1_funct_2(k5_asympt_0(A,B),k4_ordinal1,k1_numbers) & v4_asympt_0(k5_asympt_0(A,B)) ) ) )).
fof(fc2_asympt_1,axiom,( v1_funct_1(k2_asympt_1) & v1_funct_2(k2_asympt_1,k4_ordinal1,k1_numbers) & v4_asympt_0(k2_asympt_1) )).
fof(fc2_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) ) => ( v1_relat_1(k1_bagorder(A,B,C,D)) & v4_relat_1(k1_bagorder(A,B,C,D),k7_nat_d(C,B)) & v1_funct_1(k1_bagorder(A,B,C,D)) & v1_partfun1(k1_bagorder(A,B,C,D),k7_nat_d(C,B)) & v4_valued_0(k1_bagorder(A,B,C,D)) ) ) )).
fof(fc2_ballot_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & v7_ordinal1(C) ) => v1_xboole_0(k1_ballot_1(A,B,A,C)) ) )).
fof(fc2_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => v5_bcialg_2(k4_struct_0(A),A) ) )).
fof(fc2_bcialg_4,axiom,( v3_bcialg_1(k2_bcialg_4) & v4_bcialg_1(k2_bcialg_4) & v5_bcialg_1(k2_bcialg_4) & v7_bcialg_1(k2_bcialg_4) & v8_bcialg_1(k2_bcialg_4) & v2_bcialg_4(k2_bcialg_4) )).
fof(fc2_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v12_bcialg_1(k4_bcialg_6(A,B,C),A) ) )).
fof(fc2_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_normsp_1(A,B,C)) & v1_funct_2(k2_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(k2_normsp_1(A,B,C),A) ) ) )).
fof(fc2_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ( v1_funct_1(k1_bilinear(A,B,C)) & v1_funct_2(k1_bilinear(A,B,C),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(k1_bilinear(A,B,C),A,B,C) ) ) )).
fof(fc2_binop_2,axiom,( v1_funct_1(k5_binop_2) & v1_funct_2(k5_binop_2,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_binop_1(k5_binop_2,k2_numbers) & v2_binop_1(k5_binop_2,k2_numbers) )).
fof(fc2_bintree1,axiom,( ~ v1_xboole_0(k2_trees_1(2)) & v1_trees_1(k2_trees_1(2)) & v1_bintree1(k2_trees_1(2)) )).
fof(fc2_bintree2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) & v7_ordinal1(B) ) => v1_finset_1(k2_trees_2(A,B)) ) )).
fof(fc2_borsuk_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => v2_compts_1(k1_tarski(B),A) ) )).
fof(fc2_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & v3_funct_1(C) & m1_borsuk_2(C,A,B,B) ) => v3_funct_1(k1_borsuk_2(A,B,B,B,C,C)) ) )).
fof(fc2_borsuk_3,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_struct_0(k1_pre_topc(A,B)) & v1_pre_topc(k1_pre_topc(A,B)) ) ) )).
fof(fc2_borsuk_4,axiom,( v1_pre_topc(k1_borsuk_4) & v1_tsep_1(k1_borsuk_4,k5_topmetr) )).
fof(fc2_borsuk_5,axiom,( v1_xreal_0(k4_power) & ~ v1_rat_1(k4_power) )).
fof(fc2_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_topmetr(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_topmetr(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,B))) ) => v1_xreal_0(k2_xtuple_0(C)) ) )).
fof(fc2_borsuk_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v1_funct_1(k13_valued_1(A,B)) & v2_funct_1(k13_valued_1(A,B)) ) ) )).
fof(fc2_bspace,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k8_bspace(A)) ) )).
fof(fc2_bvfunc25,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k2_bvfunc25(A,B)) & v1_funct_1(k2_bvfunc25(A,B)) & v1_margrel1(k2_bvfunc25(A,B)) ) ) )).
fof(fc2_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k7_bvfunc_1(A,B)) & v1_funct_1(k7_bvfunc_1(A,B)) & v1_margrel1(k7_bvfunc_1(A,B)) ) ) )).
fof(fc2_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v13_algstr_0(k12_funcsdom(A)) & v2_rlvect_1(k12_funcsdom(A)) & v3_rlvect_1(k12_funcsdom(A)) & v4_rlvect_1(k12_funcsdom(A)) & v5_rlvect_1(k12_funcsdom(A)) & v6_rlvect_1(k12_funcsdom(A)) & v7_rlvect_1(k12_funcsdom(A)) & v1_funcsdom(k12_funcsdom(A)) & v2_funcsdom(k12_funcsdom(A)) & v1_vectsp_1(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)) & v3_group_1(k12_funcsdom(A)) & v5_group_1(k12_funcsdom(A)) ) ) )).
fof(fc2_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k2_c0sp2(A)) ) )).
fof(fc2_calcul_2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_finseq_1(B,k3_cqc_lang(A)) ) => ( v1_finset_1(k1_card_1(B)) & v1_card_1(k1_card_1(B)) ) ) )).
fof(fc2_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ~ v1_xboole_0(k2_cantor_1(A,B)) ) )).
fof(fc2_card_1,axiom,( ! [A] : ( v1_xboole_0(A) => ( v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) ) ) )).
fof(fc2_card_2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_card_1(A) & v1_finset_1(B) & v1_card_1(B) ) => ( v1_finset_1(k1_card_2(A,B)) & v1_card_1(k1_card_2(A,B)) ) ) )).
fof(fc2_card_3,axiom,( ! [A] : ! [B] : ( v1_card_1(B) => v1_card_3(k2_funcop_1(A,B)) ) )).
fof(fc2_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( v1_card_1(k2_card_1(A)) & ~ v2_card_1(k2_card_1(A)) ) ) )).
fof(fc2_card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k3_relat_1(B,A)) & v2_finset_1(k3_relat_1(B,A)) ) ) )).
fof(fc2_cardfin2,axiom,( v2_xxreal_0(k4_power) & v1_xreal_0(k4_power) )).
fof(fc2_cat_1,axiom,( ! [A] : ! [B] : ( v1_cat_1(k3_cat_1(A,B)) & v2_cat_1(k3_cat_1(A,B)) ) )).
fof(fc2_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ~ v2_struct_0(g1_cat_1(A,B,C,D,E)) & ~ v11_struct_0(g1_cat_1(A,B,C,D,E)) & v1_cat_1(g1_cat_1(A,B,C,D,E)) ) ) )).
fof(fc2_cat_4,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k5_cat_4(A,B)) & ~ v11_struct_0(k5_cat_4(A,B)) & v2_cat_1(k5_cat_4(A,B)) & v3_cat_1(k5_cat_4(A,B)) & v4_cat_1(k5_cat_4(A,B)) & v5_cat_1(k5_cat_4(A,B)) & v6_cat_1(k5_cat_4(A,B)) & v2_cat_4(k5_cat_4(A,B)) ) )).
fof(fc2_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k10_cat_5(A,B)) ) )).
fof(fc2_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v16_cat_6(k3_struct_0(A),A,A) ) ) )).
fof(fc2_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cat_6(A) ) => ~ v1_xboole_0(k1_cat_6(A)) ) )).
fof(fc2_catalan1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v8_ordinal1(k1_catalan1(A)) & v1_xreal_0(k1_catalan1(A)) ) ) )).
fof(fc2_catalan2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v1_finset_1(k2_catalan2(A,B)) ) )).
fof(fc2_catalg_1,axiom,( ! [A] : ( v1_msualg_1(k2_catalg_1(A)) & v1_instalg1(k2_catalg_1(A)) ) )).
fof(fc2_cayldick,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) ) => ~ v8_ordinal1(k1_square_1(A)) ) )).
fof(fc2_cayley,axiom,( ! [A] : ( ~ v1_xboole_0(k1_cayley(A)) & v4_funct_1(k1_cayley(A)) ) )).
fof(fc2_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k2_cc0sp1(A)) & v3_c0sp1(k2_cc0sp1(A),k8_cfuncdom(A)) & v1_cc0sp1(k2_cc0sp1(A),k8_cfuncdom(A)) ) ) )).
fof(fc2_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k2_cc0sp2(A)) ) )).
fof(fc2_cfuncdom,axiom,( ! [A] : ( v1_funct_1(k2_cfuncdom(A)) & v1_funct_2(k2_cfuncdom(A),k2_zfmisc_1(k9_funct_2(A,k2_numbers),k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & v7_valued_2(k2_cfuncdom(A)) ) )).
fof(fc2_cgames_1,axiom,( v2_cgames_1(k1_cgames_1) )).
fof(fc2_chain_1,axiom,( ! [A] : ! [B] : ( ~ v1_zfmisc_1(A) => ~ v1_zfmisc_1(k2_xboole_0(B,A)) ) )).
fof(fc2_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(B,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,A),A))) ) => ( ~ v11_struct_0(k5_circcomb(D,C)) & v1_msualg_1(k5_circcomb(D,C)) & v4_circcmb3(k5_circcomb(D,C)) ) ) )).
fof(fc2_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( v1_relat_1(k1_funct_4(C,D)) & v4_relat_1(k1_funct_4(C,D),k2_xboole_0(A,B)) & v1_funct_1(k1_funct_4(C,D)) & v1_partfun1(k1_funct_4(C,D),k2_xboole_0(A,B)) ) ) )).
fof(fc2_circled1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k1_circled1(A,B)) ) )).
fof(fc2_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_msaterm(C,A,B) ) => ( ~ v2_struct_0(k1_circtrm1(A,B,C)) & ~ v11_struct_0(k1_circtrm1(A,B,C)) & v1_msualg_1(k1_circtrm1(A,B,C)) ) ) )).
fof(fc2_ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ( v13_algstr_0(k2_ckspace1(A,B,C)) & v2_rlvect_1(k2_ckspace1(A,B,C)) & v3_rlvect_1(k2_ckspace1(A,B,C)) & v4_rlvect_1(k2_ckspace1(A,B,C)) & v5_rlvect_1(k2_ckspace1(A,B,C)) & v6_rlvect_1(k2_ckspace1(A,B,C)) & v7_rlvect_1(k2_ckspace1(A,B,C)) & v8_rlvect_1(k2_ckspace1(A,B,C)) & v1_vectsp_1(k2_ckspace1(A,B,C)) & v3_vectsp_1(k2_ckspace1(A,B,C)) & v3_group_1(k2_ckspace1(A,B,C)) & v5_group_1(k2_ckspace1(A,B,C)) & v2_funcsdom(k2_ckspace1(A,B,C)) ) ) )).
fof(fc2_classes1,axiom,( ! [A] : ( v3_ordinal1(A) => v1_ordinal1(k4_classes1(A)) ) )).
fof(fc2_classes2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => v3_ordinal1(k2_ordinal1(A)) ) )).
fof(fc2_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v2_struct_0(k3_clopban1(A,B)) & v13_algstr_0(k3_clopban1(A,B)) & v2_rlvect_1(k3_clopban1(A,B)) & v3_rlvect_1(k3_clopban1(A,B)) & v4_rlvect_1(k3_clopban1(A,B)) & v1_monoid_0(k3_clopban1(A,B)) & v2_clvect_1(k3_clopban1(A,B)) & v3_clvect_1(k3_clopban1(A,B)) & v4_clvect_1(k3_clopban1(A,B)) & v5_clvect_1(k3_clopban1(A,B)) ) ) )).
fof(fc2_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => v1_group_1(k7_clopban2(A)) ) )).
fof(fc2_closure2,axiom,( ! [A] : ( ( v1_xboole_0(A) & v4_funct_1(A) ) => ( v1_xboole_0(k3_closure2(A)) & v1_relat_1(k3_closure2(A)) & v1_funct_1(k3_closure2(A)) ) ) )).
fof(fc2_closure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => v3_relat_1(k2_closure3(A,B,C)) ) )).
fof(fc2_coh_sp,axiom,( ! [A] : ( v4_funct_1(k4_coh_sp(A)) & ~ v1_xboole_0(k4_coh_sp(A)) ) )).
fof(fc2_cohsp_1,axiom,( ! [A] : ( v1_classes1(k1_zfmisc_1(A)) & v1_coh_sp(k1_zfmisc_1(A)) ) )).
fof(fc2_compact1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_compact1(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v5_compact1(k1_pre_topc(A,B)) ) ) )).
fof(fc2_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k3_compl_sp(A,B,C)) & v1_metric_1(k3_compl_sp(A,B,C)) ) ) )).
fof(fc2_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_xreal_0(k2_complex1(A)) ) )).
fof(fc2_complfld,axiom,( v1_membered(u1_struct_0(k1_complfld)) )).
fof(fc2_compos_0,axiom,( v1_compos_0(k1_tarski(k3_xtuple_0(1,k1_xboole_0,k1_xboole_0))) )).
fof(fc2_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ( v1_relat_1(k4_compos_1(A)) & v4_relat_1(k4_compos_1(A),k4_ordinal1) & v5_relat_1(k4_compos_1(A),u1_compos_1(A)) & v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A)) & v3_compos_1(k4_compos_1(A),A) & v4_compos_1(k4_compos_1(A),A) ) ) )).
fof(fc2_compos_2,axiom,( ! [A] : ! [B] : ( ( v1_amistd_4(A) & l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v4_compos_1(B,A) ) => ( v1_relat_1(k63_valued_1(B)) & v1_funct_1(k63_valued_1(B)) & v2_compos_1(k63_valued_1(B),A) ) ) )).
fof(fc2_compts_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_struct_0(k1_compts_1(A)) ) )).
fof(fc2_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ~ v1_xboole_0(k17_funcop_1(A,B)) & v2_margrel1(k17_funcop_1(A,B)) ) ) )).
fof(fc2_comseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) ) => ( v1_relat_1(k1_comseq_2(B)) & v4_relat_1(k1_comseq_2(B),A) & v1_funct_1(k1_comseq_2(B)) & v1_partfun1(k1_comseq_2(B),A) ) ) )).
fof(fc2_comseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k4_comseq_3(A)) & v1_funct_1(k4_comseq_3(A)) & v3_valued_0(k4_comseq_3(A)) ) ) )).
fof(fc2_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l5_struct_0(A) ) => ~ v1_xboole_0(u1_struct_0(A)) ) )).
fof(fc2_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ( v3_lattices(k1_lattice2(A)) & v4_lattice3(k1_lattice2(A)) ) ) )).
fof(fc2_connsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k1_connsp_1(A,B)) & v2_connsp_1(k1_connsp_1(A,B),A) ) ) )).
fof(fc2_convex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k2_convex1(A,B)) ) )).
fof(fc2_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => v1_xboole_0(k13_pre_poly(k2_convex4(A))) ) )).
fof(fc2_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v2_rlvect_1(B) & l1_rlvect_1(B) ) => v2_rlvect_1(k3_convfun1(A,B)) ) )).
fof(fc2_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k3_cqc_lang(A)) ) )).
fof(fc2_csspace,axiom,( ~ v1_xboole_0(k9_csspace) )).
fof(fc2_csspace3,axiom,( v6_clvect_1(k1_csspace3,k5_csspace) )).
fof(fc2_csspace4,axiom,( v6_clvect_1(k1_csspace4,k5_csspace) )).
fof(fc2_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & v3_dblseq_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_funct_1(k3_dblseq_1(A)) & v1_funct_2(k3_dblseq_1(A),k4_ordinal1,k1_numbers) & v2_comseq_2(k3_dblseq_1(A)) ) ) )).
fof(fc2_descip_1,axiom,( v1_funct_1(k25_descip_1) & v1_funct_2(k25_descip_1,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & v3_funct_2(k25_descip_1,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) )).
fof(fc2_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k5_dickson(A)) & v1_orders_2(k5_dickson(A)) ) ) )).
fof(fc2_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k4_diff_1(A,B)) & v1_funct_2(k4_diff_1(A,B),k1_numbers,k1_numbers) ) ) )).
fof(fc2_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_dilworth(A) & l1_orders_2(A) ) => ( v2_xxreal_0(k1_dilworth(A)) & v7_ordinal1(k1_dilworth(A)) ) ) )).
fof(fc2_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ~ v1_xboole_0(k6_dist_1(A)) ) )).
fof(fc2_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & l1_lang1(A) ) => ~ v1_xboole_0(k4_dtconstr(A)) ) )).
fof(fc2_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ~ v1_xboole_0(k7_dualsp01(A)) ) )).
fof(fc2_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(k2_dualsp02(A)) & v2_funct_1(k2_dualsp02(A)) & v1_funct_2(k2_dualsp02(A),u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) ) ) )).
fof(fc2_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => v1_ec_pf_1(k9_int_3(A)) ) )).
fof(fc2_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v22_algstr_0(k3_endalg(A)) & v4_vectsp_1(k3_endalg(A)) & v3_group_1(k3_endalg(A)) ) ) )).
fof(fc2_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_ens_1(A)) ) )).
fof(fc2_eqrel_1,axiom,( ! [A] : ( v3_relat_2(k1_eqrel_1(A)) & v8_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A) ) )).
fof(fc2_equation,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & v2_finset_1(C) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => ( v3_msualg_1(k12_msualg_2(A,B,C),A) & v3_msafree2(k12_msualg_2(A,B,C),A) ) ) )).
fof(fc2_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ( v1_xreal_0(k12_euclid(A)) & ~ v3_xxreal_0(k12_euclid(A)) ) ) )).
fof(fc2_euclid10,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_zfmisc_1(k5_jgraph_6(A,B,k5_ordinal1)) ) )).
fof(fc2_euclid_7,axiom,( ! [A] : ! [B] : ( ( v2_euclid_7(A) & v2_euclid_7(B) ) => v2_euclid_7(k2_xboole_0(A,B)) ) )).
fof(fc2_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) & m1_subset_1(D,k1_euclid(A)) ) => ~ v1_xboole_0(k4_euclidlp(A,B,C,D)) ) )).
fof(fc2_exchsort,axiom,( ! [A] : ! [B] : ( v3_ordinal1(A) => v1_exchsort(k1_tarski(k4_tarski(A,B))) ) )).
fof(fc2_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v2_memstr_0(k1_extpro_1(A),A) & v1_extpro_1(k1_extpro_1(A),A) ) ) )).
fof(fc2_facirc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xtuple_0(A) & ~ v1_xtuple_0(B) ) => ~ v1_facirc_1(k2_tarski(A,B)) ) )).
fof(fc2_facirc_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_facirc_1(A) ) => ~ v1_xtuple_0(k1_funct_1(A,B)) ) )).
fof(fc2_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_zfmisc_1(B) ) => ( v1_funct_1(k5_relat_1(A,B)) & v1_fcont_1(k5_relat_1(A,B)) ) ) )).
fof(fc2_fcont_3,axiom,( v3_rcomp_1(k2_subset_1(k1_numbers)) )).
fof(fc2_fib_num2,axiom,( ! [A] : ( ( v1_int_1(A) & v1_abian(A) ) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & v1_abian(k4_xcmplx_0(A)) ) ) )).
fof(fc2_fib_num3,axiom,( v1_xreal_0(k2_fib_num) & v3_xxreal_0(k2_fib_num) )).
fof(fc2_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v19_lattices(k5_filter_0(A,B,C),A) & v20_lattices(k5_filter_0(A,B,C),A) ) ) )).
fof(fc2_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) & ~ v2_struct_0(B) & l3_lattices(B) ) => ( ~ v2_struct_0(k7_filter_1(A,B)) & v3_lattices(k7_filter_1(A,B)) ) ) )).
fof(fc2_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) => ~ v1_xboole_0(k4_filter_2(A,B)) ) )).
fof(fc2_finance2,axiom,( ~ v1_xboole_0(k4_xboole_0(k1_numbers,k4_numbers)) )).
fof(fc2_finseq_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v1_xboole_0(k1_finseq_1(A)) ) )).
fof(fc2_finseq_2,axiom,( v1_relat_1(k1_finseq_2(k5_numbers)) & v1_funct_1(k1_finseq_2(k5_numbers)) & v1_xboole_0(k1_finseq_2(k5_numbers)) & v1_finseq_1(k1_finseq_2(k5_numbers)) )).
fof(fc2_finseq_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => v3_card_3(k4_finseq_2(A,B)) ) )).
fof(fc2_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( v1_relat_1(k8_finseq_4(A,B,C,D,E)) & v1_funct_1(k8_finseq_4(A,B,C,D,E)) & ~ v1_xboole_0(k8_finseq_4(A,B,C,D,E)) ) )).
fof(fc2_finseq_5,axiom,( ! [A] : ! [B] : ~ v1_zfmisc_1(k10_finseq_1(A,B)) )).
fof(fc2_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k3_finseq_5(A)) & ~ v1_xboole_0(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) ) ) )).
fof(fc2_finset_1,axiom,( ! [A] : ! [B] : v1_finset_1(k2_tarski(A,B)) )).
fof(fc2_finsub_1,axiom,( ! [A] : ( ~ v1_xboole_0(k5_finsub_1(A)) & v4_finsub_1(k5_finsub_1(A)) ) )).
fof(fc2_fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ~ v2_struct_0(k5_fintopo5(A,B)) & v1_orders_2(k5_fintopo5(A,B)) ) ) )).
fof(fc2_fintopo6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v4_fin_topo(k1_tarski(B),A) ) )).
fof(fc2_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k11_monoid_0(A)) & v1_funct_2(k11_monoid_0(A),k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)) & v2_binop_1(k11_monoid_0(A),k3_finseq_2(A)) ) ) )).
fof(fc2_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l4_struct_0(A) ) => ~ v1_xboole_0(k4_xboole_0(u1_struct_0(A),k6_domain_1(u1_struct_0(A),u3_struct_0(A)))) ) )).
fof(fc2_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v4_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) & m1_subset_1(E,B) ) => ( v1_relat_1(k5_fomodel2(C,D,E)) & v1_funct_1(k5_fomodel2(C,D,E)) & v1_fomodel2(k5_fomodel2(C,D,E),A,B) ) ) )).
fof(fc2_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v8_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v3_card_1(C,k1_int_2(k19_fomodel1(A,B))) & m1_subset_1(C,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => v13_fomodel1(k1_fomodel3(A,B,C),A) ) )).
fof(fc2_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v1_relat_1(k1_fomodel4(A)) ) )).
fof(fc2_frechet,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(k3_pcomps_1(A))) ) => v4_card_3(k1_frechet(A,B)) ) )).
fof(fc2_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_lang1(k3_freealg(A,B)) & v2_dtconstr(k3_freealg(A,B)) ) ) )).
fof(fc2_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),B))) & m1_subset_1(F,C) ) => ( ~ v2_struct_0(g2_fsm_1(A,B,C,D,E,F)) & v8_struct_0(g2_fsm_1(A,B,C,D,E,F)) & v2_fsm_1(g2_fsm_1(A,B,C,D,E,F),A,B) ) ) )).
fof(fc2_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(E) & v1_funct_2(E,k2_tarski(C,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C,D),B))) ) => ( ~ v2_struct_0(k1_fsm_2(A,B,C,D,E)) & v1_fsm_2(k1_fsm_2(A,B,C,D,E),A) & v6_fsm_2(k1_fsm_2(A,B,C,D,E),A,B) ) ) )).
fof(fc2_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ( ~ v2_struct_0(k1_fsm_3(A,B,C)) & v1_rewrite3(k1_fsm_3(A,B,C),k9_flang_1(A)) & v2_rewrite3(k1_fsm_3(A,B,C),A,k9_flang_1(A)) ) ) )).
fof(fc2_funcop_1,axiom,( ! [A] : v1_xboole_0(k2_funcop_1(k1_xboole_0,A)) )).
fof(fc2_funcsdom,axiom,( ! [A] : ( v1_funct_1(k6_funcsdom(A)) & v1_funct_2(k6_funcsdom(A),k2_zfmisc_1(k9_funct_2(A,k1_numbers),k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & v9_valued_2(k6_funcsdom(A)) ) )).
fof(fc2_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v1_funct_1(k3_relat_1(A,B)) ) ) )).
fof(fc2_funct_2,axiom,( ! [A] : ~ v1_xboole_0(k1_funct_2(A,A)) )).
fof(fc2_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k13_funct_3(B,A)) & v1_funct_1(k13_funct_3(B,A)) & v1_xboole_0(k13_funct_3(B,A)) ) ) )).
fof(fc2_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k6_funct_4(A,B,C)) & v1_funct_1(k6_funct_4(A,B,C)) ) ) )).
fof(fc2_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k3_funct_5(A)) & v1_funct_1(k3_funct_5(A)) & v1_funcop_1(k3_funct_5(A)) ) ) )).
fof(fc2_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ v1_xboole_0(k4_funct_4(A,B,C,D)) )).
fof(fc2_funct_8,axiom,( v1_funct_1(k16_sin_cos) & v1_funct_2(k16_sin_cos,k1_numbers,k1_numbers) & v6_funct_8(k16_sin_cos,k1_numbers,k1_numbers) )).
fof(fc2_funct_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_funct_9(B,A) & v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_funct_9(C,A) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v1_funct_9(k1_valued_1(B,C),A) ) ) )).
fof(fc2_functor0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k15_funct_3(A,B)) & v1_funct_1(k15_funct_3(A,B)) & v1_xboole_0(k15_funct_3(A,B)) ) ) )).
fof(fc2_functor1,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v2_funct_2(k4_relat_1(A),A) ) )).
fof(fc2_fvaluat1,axiom,( ~ v1_fvaluat1(k2_xxreal_0) )).
fof(fc2_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ( v1_funct_1(u1_algstr_0(A)) & v1_funct_2(u1_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc2_gate_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_xboole_0(k1_gate_1(A)) ) )).
fof(fc2_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => v1_int_1(k2_complex1(A)) ) )).
fof(fc2_gcd_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k2_gcd_1(A,B)) ) )).
fof(fc2_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_geomtrap(A) ) => ( ~ v2_struct_0(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_analoaf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(fc2_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_xtuple_0(k7_gfacirc2(A,B,C)) ) )).
fof(fc2_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( v1_glib_001(k1_glib_001(A,B),A) & v2_glib_001(k1_glib_001(A,B),A) & v3_glib_001(k1_glib_001(A,B),A) ) ) )).
fof(fc2_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B)) & v4_relat_1(k13_glib_000(A,k3_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,B)) & v1_finset_1(k13_glib_000(A,k3_glib_003,B)) & v1_glib_000(k13_glib_000(A,k3_glib_003,B)) ) ) )).
fof(fc2_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) ) => ( ~ v1_xboole_0(k3_glib_004(A)) & v1_finset_1(k3_glib_004(A)) ) ) )).
fof(fc2_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_005(B,A) & v7_ordinal1(C) ) => ( v1_relat_1(k1_funct_1(B,C)) & v1_funct_1(k1_funct_1(B,C)) ) ) )).
fof(fc2_goboard2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ v1_xboole_0(k2_goboard1(A)) ) )).
fof(fc2_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(g3_algstr_0(u1_struct_0(A),u2_algstr_0(A))) & v2_group_1(g3_algstr_0(u1_struct_0(A),u2_algstr_0(A))) ) ) )).
fof(fc2_graph_1,axiom,( ! [A] : ( ( v6_graph_1(A) & l1_graph_1(A) ) => v1_finset_1(u4_struct_0(A)) ) )).
fof(fc2_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_finset_1(k2_graph_3(A,B,C)) ) )).
fof(fc2_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => v1_finset_1(k7_graph_5(A)) ) )).
fof(fc2_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k3_finseq_2(k1_numbers)) & v7_ordinal1(B) ) => v1_finset_1(k12_graphsp(A,B)) ) )).
fof(fc2_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k1_grcat_1(A,B)) ) )).
fof(fc2_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_funct_1(k4_xboole_0(A,B)) ) )).
fof(fc2_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v5_vectsp_1(B) & v4_rlvect_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k5_polynom7(A,B,C,D)) & v1_funct_2(k5_polynom7(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(k5_polynom7(A,B,C,D),A,B) ) ) )).
fof(fc2_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k15_pre_poly(A))) ) => ( v1_funct_1(k2_groeb_3(A,B,C,D)) & v1_funct_2(k2_groeb_3(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k2_groeb_3(A,B,C,D),B) ) ) )).
fof(fc2_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(u2_algstr_0(A)) & v1_funct_2(u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_setwiseo(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc2_group_10,axiom,( ! [A] : ! [B] : ( v1_finset_1(A) => v1_finset_1(k3_group_10(A,B)) ) )).
fof(fc2_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v3_group_7(B,A) & m1_subset_1(C,A) ) => v3_group_1(k1_funct_1(B,C)) ) )).
fof(fc2_group_14,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ( v1_relat_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)) & ~ v1_xboole_0(k10_finseq_1(A,B)) & v1_finseq_1(k10_finseq_1(A,B)) & v1_prvect_1(k10_finseq_1(A,B)) ) ) )).
fof(fc2_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,u1_struct_0(k3_group_7(A,B))) ) => v1_finset_1(k3_group_19(A,B,C)) ) )).
fof(fc2_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k1_group_2(A,B)) ) )).
fof(fc2_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v8_struct_0(C) & m1_group_2(C,A) ) => ( v8_struct_0(k6_group_3(A,C,B)) & v15_algstr_0(k6_group_3(A,C,B)) ) ) )).
fof(fc2_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k7_group_2(A)) & v1_group_3(k7_group_2(A),A) ) ) )).
fof(fc2_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ( ~ v2_struct_0(k2_group_7(A,B)) & v15_algstr_0(k2_group_7(A,B)) & v1_monoid_0(k2_group_7(A,B)) ) ) )).
fof(fc2_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ( v2_group_9(k5_group_9(A,B),A) & v4_group_9(k5_group_9(A,B),A,B) ) ) )).
fof(fc2_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k7_hahnban1(A,B)) & v1_funct_2(k7_hahnban1(A,B),u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(k7_hahnban1(A,B),A,B) ) ) )).
fof(fc2_hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => v1_finset_1(k1_hallmar1(A,B,C)) ) )).
fof(fc2_hausdorf,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_weierstr(A,B)) & v1_funct_2(k4_weierstr(A,B),u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k4_weierstr(A,B),k3_pcomps_1(A),k3_topmetr) ) ) )).
fof(fc2_helly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( v3_glib_001(k2_helly(A,B,B),A) & v5_glib_001(k2_helly(A,B,B),A) ) ) )).
fof(fc2_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( v3_lattices(k5_substlat(A,B)) & v3_filter_0(k5_substlat(A,B)) ) ) )).
fof(fc2_heyting3,axiom,( ! [A] : ! [B] : ( v1_lattice3(k1_heyting3(A,B)) & v2_lattice3(k1_heyting3(A,B)) ) )).
fof(fc2_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_funct_1(k6_hilbasis(A,B)) & v1_funct_2(k6_hilbasis(A,B),u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))) & v13_vectsp_1(k6_hilbasis(A,B),k13_polynom3(k12_polynom1(B,A)),k12_polynom1(k1_nat_1(B,1),A)) ) ) )).
fof(fc2_hilbert1,axiom,( v4_funct_1(k1_hilbert1) )).
fof(fc2_hilbert3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v2_funct_1(k4_funct_4(B,k5_numbers,k5_numbers,A)) ) )).
fof(fc2_hilbert4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v2_abian(k4_funct_4(k5_numbers,A,A,k5_numbers)) ) )).
fof(fc2_huffman1,axiom,( ~ v1_xboole_0(k1_huffman1) )).
fof(fc2_hurwitz2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_hurwitz2(A,B)) & v1_funct_2(k1_hurwitz2(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k1_hurwitz2(A,B),A) ) ) )).
fof(fc2_idea_1,axiom,( v4_funct_1(k14_idea_1) )).
fof(fc2_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => v2_ideal_1(k1_tarski(k4_struct_0(A)),A) ) )).
fof(fc2_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => v1_incsp_1(k3_incproj(A)) ) )).
fof(fc2_index_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_index_1(A) ) => v2_cat_5(k10_xtuple_0(A)) ) )).
fof(fc2_instalg1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v2_relat_1(k13_msafree(A,B)) ) )).
fof(fc2_int_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v1_int_1(k3_xcmplx_0(A,B)) ) )).
fof(fc2_int_3,axiom,( v5_membered(u1_struct_0(k1_int_3)) )).
fof(fc2_int_4,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v3_membered(A) & v1_xreal_0(B) ) => v1_finset_1(k23_member_1(A,B)) ) )).
fof(fc2_int_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k16_finseq_1(B,A)) & v5_relat_1(k16_finseq_1(B,A),k4_numbers) & v1_funct_1(k16_finseq_1(B,A)) & v1_finseq_1(k16_finseq_1(B,A)) ) ) )).
fof(fc2_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ~ v2_struct_0(k3_int_7(A)) & v8_struct_0(k3_int_7(A)) & v2_group_1(k3_int_7(A)) & v3_group_1(k3_int_7(A)) & v5_group_1(k3_int_7(A)) ) ) )).
fof(fc2_integr16,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => ( v1_relat_1(k4_comseq_3(A)) & v1_funct_1(k4_comseq_3(A)) & v1_finseq_1(k4_comseq_3(A)) ) ) )).
fof(fc2_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => ~ v1_xboole_0(k4_integra1(A,B,C)) ) )).
fof(fc2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ~ v1_xboole_0(k4_interva1(A,B,C)) ) )).
fof(fc2_intpro_1,axiom,( v4_funct_1(k1_intpro_1) )).
fof(fc2_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => v12_cat_1(k15_isocat_2(A,B,C),k9_nattra_1(A,k6_cat_2(B,C)),k6_cat_2(k9_nattra_1(A,B),k9_nattra_1(A,C))) ) )).
fof(fc2_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v5_tops_1(k2_struct_0(A),A) & v6_tops_1(k2_struct_0(A),A) ) ) )).
fof(fc2_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ~ v1_xboole_0(k5_jgraph_6(A,B,C)) ) )).
fof(fc2_jgraph_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => v1_topalg_2(k1_topreala(A,B,C,D),2) ) )).
fof(fc2_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( v1_xreal_0(k1_topreal6(A,B,C)) & ~ v3_xxreal_0(k1_topreal6(A,B,C)) ) ) )).
fof(fc2_jordan1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_convex1(k5_topreal1(A),k15_euclid(2)) ) )).
fof(fc2_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ v1_xboole_0(k1_jordan10(A)) ) )).
fof(fc2_jordan14,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => v2_compts_1(k2_pre_topc(k15_euclid(2),k3_goboard9(k1_jordan13(A,B))),k15_euclid(2)) ) )).
fof(fc2_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k7_relat_1(k5_pscomp_1,k6_topreal1(A))) ) )).
fof(fc2_jordan1d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_abian(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v1_abian(k1_newton(A,B)) ) )).
fof(fc2_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ~ v1_xboole_0(k2_jordan1e(A,B)) ) )).
fof(fc2_jordan1g,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => v2_goboard5(k1_jordan1e(A,B)) ) )).
fof(fc2_jordan1h,axiom,( v1_partfun1(k1_jordan1h,k1_numbers) & v1_relat_2(k1_jordan1h) & v4_relat_2(k1_jordan1h) & v8_relat_2(k1_jordan1h) & v3_orders_1(k1_jordan1h) )).
fof(fc2_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k8_jordan6(A)) & v1_jordan21(k8_jordan6(A)) ) ) )).
fof(fc2_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k9_jordan6(A)) & v2_connsp_1(k9_jordan6(A),k15_euclid(2)) ) ) )).
fof(fc2_jordan23,axiom,( ! [A] : v2_jordan23(k5_finseq_1(A)) )).
fof(fc2_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => v1_convex1(k2_struct_0(k15_euclid(A)),k15_euclid(A)) ) )).
fof(fc2_jordan5a,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_rcomp_1(k1_xxreal_1(A,B)) ) )).
fof(fc2_jordan6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k8_jordan6(A)) & v2_compts_1(k8_jordan6(A),k15_euclid(2)) ) ) )).
fof(fc2_jordan8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( v1_matrix_0(k1_jordan8(A,B)) & v3_goboard1(k1_jordan8(A,B)) & v4_goboard1(k1_jordan8(A,B)) ) ) )).
fof(fc2_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(B,A) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k2_jordan_a(A,C,B)) & v2_compts_1(k2_jordan_a(A,C,B),k15_euclid(2)) ) ) )).
fof(fc2_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) ) => ~ v1_xboole_0(k6_kolmog01(A,B,C,D)) ) )).
fof(fc2_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_finset_1(k2_kurato_1(A,B)) ) )).
fof(fc2_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => v1_frechet(k3_pcomps_1(A)) ) )).
fof(fc2_lagra4sq,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_lagra4sq(A) & v7_ordinal1(B) & v1_lagra4sq(B) ) => v1_lagra4sq(k3_xcmplx_0(A,B)) ) )).
fof(fc2_lang1,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k7_lang1(A,B)) & v2_lang1(k7_lang1(A,B)) ) )).
fof(fc2_latsum_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & l1_orders_2(B) ) => ( ~ v2_struct_0(k1_latsum_1(A,B)) & v1_orders_2(k1_latsum_1(A,B)) ) ) )).
fof(fc2_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => v1_partfun1(k3_lattad_1(A),u1_struct_0(A)) ) )).
fof(fc2_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v3_binop_1(u2_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc2_lattice3,axiom,( ! [A] : ( v3_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A)) ) )).
fof(fc2_lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k4_lattice4(A,B)) ) )).
fof(fc2_lattice5,axiom,( ! [A] : ( v3_orders_2(k1_lattice5(A)) & v4_orders_2(k1_lattice5(A)) & v5_orders_2(k1_lattice5(A)) & v3_lattice3(k1_lattice5(A)) ) )).
fof(fc2_lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ~ v1_xboole_0(k3_lattice8(A,B)) ) )).
fof(fc2_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ~ v1_xboole_0(k4_latticea(A)) ) )).
fof(fc2_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ~ v2_struct_0(g1_lattices(A,B)) & v1_lattices(g1_lattices(A,B)) ) ) )).
fof(fc2_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) => v1_finset_1(k1_xtuple_0(B)) ) )).
fof(fc2_lfuzzy_0,axiom,( ~ v1_xboole_0(k1_xxreal_1(k5_numbers,1)) )).
fof(fc2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v2_lfuzzy_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & v2_lfuzzy_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v5_relat_1(k1_fuzzy_1(k2_zfmisc_1(A,A),B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k1_fuzzy_1(k2_zfmisc_1(A,A),B,C)) & v1_funct_2(k1_fuzzy_1(k2_zfmisc_1(A,A),B,C),k2_zfmisc_1(A,A),k1_numbers) & v2_lfuzzy_1(k1_fuzzy_1(k2_zfmisc_1(A,A),B,C),A) ) ) )).
fof(fc2_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( ~ v2_struct_0(k13_lmod_7(A,B,C)) & v8_algstr_0(k13_lmod_7(A,B,C)) ) ) )).
fof(fc2_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_lopban_1(A,B)) & v13_algstr_0(k5_lopban_1(A,B)) & v2_rlvect_1(k5_lopban_1(A,B)) & v3_rlvect_1(k5_lopban_1(A,B)) & v4_rlvect_1(k5_lopban_1(A,B)) & v5_rlvect_1(k5_lopban_1(A,B)) & v6_rlvect_1(k5_lopban_1(A,B)) & v7_rlvect_1(k5_lopban_1(A,B)) & v8_rlvect_1(k5_lopban_1(A,B)) & v1_monoid_0(k5_lopban_1(A,B)) ) ) )).
fof(fc2_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v1_group_1(k7_lopban_2(A)) ) )).
fof(fc2_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v1_rlsub_1(k3_lopban_7(A,B,C),k7_prvect_3(A,B)) ) )).
fof(fc2_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k6_lopclset(A)) & v10_lattices(k6_lopclset(A)) & v17_lattices(k6_lopclset(A)) ) ) )).
fof(fc2_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k7_lpspacc1(A)) & v1_funct_2(k7_lpspacc1(A),k2_zfmisc_1(k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers)),k3_rfunct_3(A,k2_numbers)) & v1_binop_1(k7_lpspacc1(A),k3_rfunct_3(A,k2_numbers)) & v2_binop_1(k7_lpspacc1(A),k3_rfunct_3(A,k2_numbers)) ) ) )).
fof(fc2_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k9_lpspace1(A,B,C)) & v1_ideal_1(k9_lpspace1(A,B,C),k7_lpspace1(A)) & v1_lpspace1(k9_lpspace1(A,B,C),k7_lpspace1(A)) ) ) )).
fof(fc2_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v1_xboole_0(k1_lpspace2(A,B,C,D)) & v1_ideal_1(k1_lpspace2(A,B,C,D),k7_lpspace1(A)) & v1_lpspace1(k1_lpspace2(A,B,C,D),k7_lpspace1(A)) ) ) )).
fof(fc2_ltlaxio1,axiom,( ~ v1_xboole_0(k13_ltlaxio1) )).
fof(fc2_ltlaxio3,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k1_ltlaxio3(A)) ) )).
fof(fc2_ltlaxio4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) => v1_finset_1(k3_ltlaxio4(A)) ) )).
fof(fc2_lukasi_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,B,B),A) ) )).
fof(fc2_margrel1,axiom,( ~ v1_xboole_0(k5_margrel1) )).
fof(fc2_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(C,k9_matrix_1(A)) ) => v7_ordinal1(k1_funct_1(C,B)) ) )).
fof(fc2_matrix13,axiom,( ! [A] : ! [B] : ( v1_setfam_1(A) => v1_setfam_1(k4_xboole_0(A,B)) ) )).
fof(fc2_matrix_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k3_finseq_2(A)) ) => v1_finset_1(k9_matrix_0(B)) ) )).
fof(fc2_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k9_matrix_1(A)) & v4_matrix_1(k9_matrix_1(A)) ) ) )).
fof(fc2_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_0(k3_matrix_3(B,C,D)) & v2_matrix_0(k3_matrix_3(B,C,D),u1_struct_0(B),A,A) ) ) )).
fof(fc2_matrix_8,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ( v1_matrix_0(k2_matrix_1(B,A)) & v2_matrix_0(k2_matrix_1(B,A),u1_struct_0(B),A,A) & v1_matrix_8(k2_matrix_1(B,A),A,B) & v2_matrix_8(k2_matrix_1(B,A),A,B) ) ) )).
fof(fc2_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k3_matrlin(A,B,C,D,E)) & v1_funct_2(k3_matrlin(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(k3_matrlin(A,B,C,D,E),B,C) & v1_mod_2(k3_matrlin(A,B,C,D,E),A,B,C) ) ) )).
fof(fc2_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k3_xboole_0(B,C),A) ) )).
fof(fc2_matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v1_funct_1(k3_matrtop1(A,B,C)) & v1_funct_2(k3_matrtop1(A,B,C),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B))) & v13_vectsp_1(k3_matrtop1(A,B,C),k15_euclid(A),k15_euclid(B)) ) ) )).
fof(fc2_mazurulm,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v4_xxreal_2(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => v4_xxreal_2(k23_member_1(A,B)) ) )).
fof(fc2_mboolean,axiom,( ! [A] : ( v1_relat_1(k2_mboolean(A,k1_pboole(A))) & v3_relat_1(k2_mboolean(A,k1_pboole(A))) & v4_relat_1(k2_mboolean(A,k1_pboole(A)),A) & v1_funct_1(k2_mboolean(A,k1_pboole(A))) & v1_partfun1(k2_mboolean(A,k1_pboole(A)),A) ) )).
fof(fc2_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( v1_funct_1(k3_measure4(A,B)) & v1_funct_2(k3_measure4(A,B),k1_measure4(A,B),k6_numbers) & v10_valued_0(k3_measure4(A,B)) & v6_supinf_2(k3_measure4(A,B)) & v4_measure1(k3_measure4(A,B),A,k1_measure4(A,B)) ) ) )).
fof(fc2_measure6,axiom,( ~ v1_setfam_1(k4_ordinal1) )).
fof(fc2_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) & v1_xxreal_0(C) & v1_xxreal_0(D) ) => v2_membered(k2_enumset1(A,B,C,D)) ) )).
fof(fc2_membered,axiom,( v2_membered(k6_numbers) )).
fof(fc2_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_memstr_0(k1_memstr_0(A),A) & v2_memstr_0(k1_memstr_0(A),A) ) ) )).
fof(fc2_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_funct_1(k1_mesfun7c(A,B)) & v1_funct_2(k1_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(k1_mesfun7c(A,B),A,k6_numbers) ) ) )).
fof(fc2_mesfunc1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k2_mesfunc1(k1_nat_1(A,1))) ) )).
fof(fc2_mesfunc7,axiom,( v1_funct_1(k1_mesfunc7) & v1_funct_2(k1_mesfunc7,k2_zfmisc_1(k6_numbers,k6_numbers),k6_numbers) & v1_binop_1(k1_mesfunc7,k6_numbers) & v2_binop_1(k1_mesfunc7,k6_numbers) )).
fof(fc2_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) ) => v7_ordinal1(k1_binop_1(A,B,C)) ) )).
fof(fc2_metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v3_pcomps_1(k1_pre_topc(A,B)) ) ) )).
fof(fc2_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k1_mfold_0(A)) & v3_pre_topc(k1_mfold_0(A),A) ) ) )).
fof(fc2_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v2_struct_0(k2_mfold_1(A)) ) )).
fof(fc2_mfold_2,axiom,( v2_funct_2(k1_xboole_0,k1_xboole_0) )).
fof(fc2_midsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => ~ v1_xboole_0(k4_midsp_1(A,B)) ) )).
fof(fc2_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => v2_midsp_2(k15_midsp_1(A)) ) )).
fof(fc2_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_mmlquery(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_mmlquery(k3_xboole_0(B,C),A) ) )).
fof(fc2_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k2_mod_4(A)) & v36_algstr_0(k2_mod_4(A)) ) ) )).
fof(fc2_modal_1,axiom,( ~ v1_xboole_0(k4_modal_1) )).
fof(fc2_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k11_modcat_1(A,B)) & ~ v11_struct_0(k11_modcat_1(A,B)) & v1_cat_1(k11_modcat_1(A,B)) ) ) )).
fof(fc2_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_modelc_1(k7_modelc_1(A)) ) )).
fof(fc2_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_modelc_2(k3_modelc_2(A)) ) )).
fof(fc2_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ( ~ v1_xboole_0(k22_modelc_3(A)) & v1_finset_1(k22_modelc_3(A)) ) ) )).
fof(fc2_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_moebius1(A) ) => ( ~ v8_ordinal1(k2_moebius1(A)) & v1_xreal_0(k2_moebius1(A)) ) ) )).
fof(fc2_moebius2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( v7_ordinal1(k2_int_2(A,B)) & ~ v8_ordinal1(k2_int_2(A,B)) ) ) )).
fof(fc2_monoid_0,axiom,( ! [A] : ( ~ v2_struct_0(k12_monoid_0(A)) & v15_algstr_0(k12_monoid_0(A)) & v1_group_1(k12_monoid_0(A)) & v3_group_1(k12_monoid_0(A)) & v1_monoid_0(k12_monoid_0(A)) ) )).
fof(fc2_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => v1_monoid_0(k9_monoid_1(A,B)) ) )).
fof(fc2_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k2_card_3(B)) & v1_funct_1(k2_card_3(B)) & v1_partfun1(k2_card_3(B),A) ) ) )).
fof(fc2_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ~ v1_xboole_0(k3_msafree2(A)) ) )).
fof(fc2_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k1_msafree3(A,B),A) & ~ v1_catalg_1(k1_msafree3(A,B),A) ) ) )).
fof(fc2_msafree4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v6_trees_3(A) ) => v3_trees_3(k10_xtuple_0(A)) ) )).
fof(fc2_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v5_msafree5(B) & m1_subset_1(C,A) ) => ~ v1_zfmisc_1(k1_funct_1(B,C)) ) )).
fof(fc2_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => v4_funct_1(k1_funct_1(k10_pralg_2(A,B,C),D)) ) )).
fof(fc2_msinst_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k2_msinst_1(A,B)) ) )).
fof(fc2_msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v2_finset_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_finset_1(k12_msafree(A,B,C)) ) )).
fof(fc2_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ( v1_relat_1(k2_funct_6(B)) & v4_relat_1(k2_funct_6(B),A) & v1_funct_1(k2_funct_6(B)) ) ) )).
fof(fc2_mssublat,axiom,( ! [A] : ( ( v3_unialg_1(A) & l1_unialg_1(A) ) => ( v1_unialg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) & v3_unialg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) ) ) )).
fof(fc2_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v7_struct_0(k6_msualg_1(A)) & ~ v11_struct_0(k6_msualg_1(A)) & v13_struct_0(k6_msualg_1(A),1) & v1_msualg_1(k6_msualg_1(A)) & v5_msualg_1(k6_msualg_1(A)) ) ) )).
fof(fc2_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k2_pboole(A,C,B)) & v2_relat_1(k2_pboole(A,C,B)) & v4_relat_1(k2_pboole(A,C,B),A) & v1_funct_1(k2_pboole(A,C,B)) & v1_partfun1(k2_pboole(A,C,B),A) ) ) )).
fof(fc2_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k3_relat_1(B,C)) & v4_relat_1(k3_relat_1(B,C),k4_finseq_1(B)) & v1_funct_1(k3_relat_1(B,C)) & v1_partfun1(k3_relat_1(B,C),k4_finseq_1(B)) ) ) )).
fof(fc2_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_relat_1(k6_msualg_6(A,B,C)) & v3_msualg_6(k6_msualg_6(A,B,C),A,B) ) ) )).
fof(fc2_msualg_7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ~ v2_struct_0(k5_msualg_5(A,B)) & v3_lattices(k5_msualg_5(A,B)) & v10_lattices(k5_msualg_5(A,B)) & v4_lattice3(k5_msualg_5(A,B)) ) ) )).
fof(fc2_msualg_8,axiom,( ! [A] : ( ~ v2_struct_0(k2_msualg_5(A)) & v3_lattices(k2_msualg_5(A)) & v10_lattices(k2_msualg_5(A)) & v4_lattice3(k2_msualg_5(A)) ) )).
fof(fc2_msualg_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v2_msafree(k11_msafree(A,B),A) ) )).
fof(fc2_mycielsk,axiom,( ! [A] : ! [B] : ( ( v1_mycielsk(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & v1_mycielsk(k5_yellow_0(A,B)) ) ) )).
fof(fc2_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k3_xcmplx_0(A,B)) ) )).
fof(fc2_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k1_nat_3(A,B)) & v1_funct_1(k1_nat_3(A,B)) & v1_finseq_1(k1_nat_3(A,B)) & v3_valued_0(k1_nat_3(A,B)) ) ) )).
fof(fc2_nat_6,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => v2_xxreal_0(k6_xcmplx_0(A,1)) ) )).
fof(fc2_nat_lat,axiom,( ~ v2_struct_0(k3_nat_lat) & v3_lattices(k3_nat_lat) & v10_lattices(k3_nat_lat) )).
fof(fc2_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_zfmisc_1(k2_cat_1(A,B,B)) ) )).
fof(fc2_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ~ v2_struct_0(k5_nbvectsp(A)) & v8_struct_0(k5_nbvectsp(A)) & v13_algstr_0(k5_nbvectsp(A)) & v2_rlvect_1(k5_nbvectsp(A)) & v3_rlvect_1(k5_nbvectsp(A)) & v4_rlvect_1(k5_nbvectsp(A)) & v8_vectsp_1(k5_nbvectsp(A),k2_bspace) & v9_vectsp_1(k5_nbvectsp(A),k2_bspace) & v10_vectsp_1(k5_nbvectsp(A),k2_bspace) & v11_vectsp_1(k5_nbvectsp(A),k2_bspace) ) ) )).
fof(fc2_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v13_vectsp_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_lopban_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_mazurulm(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))))) ) => ( v1_funct_1(k2_funct_1(C)) & v2_funct_1(k2_funct_1(C)) & v1_funct_2(k2_funct_1(C),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),u1_struct_0(k7_prvect_3(A,B))) & v2_funct_2(k2_funct_1(C),u1_struct_0(k7_prvect_3(A,B))) & v13_vectsp_1(k2_funct_1(C),k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) & v1_lopban_1(k2_funct_1(C),k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) & v1_mazurulm(k2_funct_1(C),k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) ) ) )).
fof(fc2_neckla_2,axiom,( ~ v1_xboole_0(k4_neckla_2) )).
fof(fc2_neckla_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & l1_orders_2(B) ) => ( ~ v2_struct_0(k2_neckla_2(A,B)) & v1_orders_2(k2_neckla_2(A,B)) ) ) )).
fof(fc2_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(k2_necklace(A)) & v1_necklace(k2_necklace(A)) ) ) )).
fof(fc2_net_1,axiom,( v1_petri(g1_petri(k1_xboole_0,k1_xboole_0,k1_partit_2(k1_xboole_0,k1_xboole_0),k1_partit_2(k1_xboole_0,k1_xboole_0))) & v1_net_1(g1_petri(k1_xboole_0,k1_xboole_0,k1_partit_2(k1_xboole_0,k1_xboole_0),k1_partit_2(k1_xboole_0,k1_xboole_0))) )).
fof(fc2_newton,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v7_ordinal1(B) ) => v1_xreal_0(k1_newton(A,B)) ) )).
fof(fc2_newton01,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & ~ v1_abian(A) & v7_ordinal1(B) ) => ~ v1_abian(k1_newton(A,B)) ) )).
fof(fc2_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_zfmisc_1(C) ) => ( v1_funct_1(k5_relat_1(B,C)) & v1_nfcont_3(k5_relat_1(B,C),A) ) ) )).
fof(fc2_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_zfmisc_1(C) ) => ( v1_funct_1(k5_relat_1(B,C)) & v1_nfcont_4(k5_relat_1(B,C),A) ) ) )).
fof(fc2_normform,axiom,( ! [A] : ~ v1_xboole_0(k7_normform(A)) )).
fof(fc2_normsp_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_normsp_0(A) & l2_normsp_0(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v8_ordinal1(k2_normsp_0(A,B)) & v1_xreal_0(k2_normsp_0(A,B)) ) ) )).
fof(fc2_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k4_normsp_2(A)) & v2_pre_topc(k4_normsp_2(A)) & v13_algstr_0(k4_normsp_2(A)) & v2_rlvect_1(k4_normsp_2(A)) & v3_rlvect_1(k4_normsp_2(A)) & v4_rlvect_1(k4_normsp_2(A)) & v5_rlvect_1(k4_normsp_2(A)) & v6_rlvect_1(k4_normsp_2(A)) & v7_rlvect_1(k4_normsp_2(A)) & v8_rlvect_1(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A)) & v6_rltopsp1(k4_normsp_2(A)) & v7_rltopsp1(k4_normsp_2(A)) ) ) )).
fof(fc2_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v3_nfcont_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_nfcont_1(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc2_numbers,axiom,( ~ v1_xboole_0(k2_numbers) )).
fof(fc2_numpoly1,axiom,( ! [A] : ( v1_int_1(A) => v1_abian(k3_xcmplx_0(A,k2_xcmplx_0(A,1))) ) )).
fof(fc2_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k6_openlatt(A)) & v10_lattices(k6_openlatt(A)) & v3_filter_0(k6_openlatt(A)) ) ) )).
fof(fc2_oposet_1,axiom,( v13_struct_0(k1_oposet_1,1) & v3_qmax_1(k1_oposet_1) )).
fof(fc2_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ~ v1_xboole_0(k1_ordeq_01(A,B)) ) )).
fof(fc2_orders_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => v1_xboole_0(k1_relat_1(A)) ) )).
fof(fc2_orders_2,axiom,( ! [A] : ( ( v2_orders_2(A) & l1_orders_2(A) ) => v1_partfun1(u1_orders_2(A),u1_struct_0(A)) ) )).
fof(fc2_orders_3,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_orders_2(A) ) => v1_xboole_0(u1_orders_2(A)) ) )).
fof(fc2_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ( ~ v1_xboole_0(k1_ordinal1(A)) & v3_ordinal1(k1_ordinal1(A)) ) ) )).
fof(fc2_ordinal2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => v3_ordinal1(k1_funct_1(A,B)) ) )).
fof(fc2_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v3_ordinal1(k3_xboole_0(A,B)) ) )).
fof(fc2_ordinal4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v5_ordinal1(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & v1_ordinal2(k1_ordinal4(A,B)) ) ) )).
fof(fc2_ordinal5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v5_ordinal1(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & ~ v1_xboole_0(k1_ordinal4(A,B)) & v5_ordinal1(k1_ordinal4(A,B)) ) ) )).
fof(fc2_ordinal6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => v1_ordinal6(k4_xboole_0(A,B)) ) )).
fof(fc2_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_dtconstr(k2_osafree(A,B)) & v2_dtconstr(k2_osafree(A,B)) & v3_dtconstr(k2_osafree(A,B)) ) ) )).
fof(fc2_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,C))) & v1_funct_1(E) & v1_funct_2(E,C,k3_finseq_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k3_finseq_2(A)))) & v1_funct_1(F) & v1_funct_2(F,C,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( ~ v2_struct_0(g3_osalg_1(A,B,C,D,E,F)) & v3_orders_2(g3_osalg_1(A,B,C,D,E,F)) & v4_orders_2(g3_osalg_1(A,B,C,D,E,F)) & v5_orders_2(g3_osalg_1(A,B,C,D,E,F)) & v3_osalg_1(g3_osalg_1(A,B,C,D,E,F)) ) ) )).
fof(fc2_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ~ v1_xboole_0(k6_osalg_2(A,B)) ) )).
fof(fc2_osalg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( v3_msualg_1(g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)),A) & v12_osalg_1(g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)),A) ) ) )).
fof(fc2_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( v1_relat_1(k7_osalg_4(A,B,C)) & v2_relat_1(k7_osalg_4(A,B,C)) & v4_relat_1(k7_osalg_4(A,B,C),u1_struct_0(A)) & v1_funct_1(k7_osalg_4(A,B,C)) & v1_partfun1(k7_osalg_4(A,B,C),u1_struct_0(A)) & v11_osalg_1(k7_osalg_4(A,B,C),A) ) ) )).
fof(fc2_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ~ v1_xboole_0(k6_parsp_1(A)) ) )).
fof(fc2_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => v1_xboole_0(k5_partfun1(A,B,C)) ) )).
fof(fc2_partfun3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v3_xxreal_0(k3_xcmplx_0(A,A)) ) )).
fof(fc2_partfun4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_pscomp_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_pscomp_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_funct_1(k45_valued_1(B,C)) & v1_funct_2(k45_valued_1(B,C),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k45_valued_1(B,C),A) ) ) )).
fof(fc2_partit_2,axiom,( v1_relat_1(k6_funct_5) & v1_funct_1(k6_funct_5) & v1_partit_2(k6_funct_5) )).
fof(fc2_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) ) => ~ v1_xboole_0(k1_funct_1(B,C)) ) )).
fof(fc2_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ~ v2_struct_0(k3_pcomps_1(A)) ) )).
fof(fc2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v1_relat_2(k2_xboole_0(C,D)) ) )).
fof(fc2_pencil_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_pzfmisc1(A,B)) & v4_relat_1(k1_pzfmisc1(A,B),A) & v1_funct_1(k1_pzfmisc1(A,B)) & v1_partfun1(k1_pzfmisc1(A,B),A) & v13_pencil_1(k1_pzfmisc1(A,B)) ) ) )).
fof(fc2_petri,axiom,( ! [A] : ( ( v2_petri(A) & l1_petri(A) ) => ~ v1_xboole_0(u1_petri(A)) ) )).
fof(fc2_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ~ v1_xboole_0(k2_net_1(A)) ) )).
fof(fc2_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_pnproc_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(B))) ) => ~ v1_xboole_0(k11_pnproc_1(A,B,C,D)) ) )).
fof(fc2_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_polyalg1(A)) & v3_rlvect_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A),A) ) ) )).
fof(fc2_polyeq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => v1_xreal_0(k1_polyeq_1(A,B,C)) ) )).
fof(fc2_polyeq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) & v1_xreal_0(F) ) => v1_xreal_0(k1_polyeq_2(A,B,C,D,E,F)) ) )).
fof(fc2_polyeq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) & v1_xreal_0(F) & v1_xreal_0(G) ) => v1_xreal_0(k1_polyeq_4(A,B,C,D,E,F,G)) ) )).
fof(fc2_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ( ~ v1_xboole_0(k5_polyform(A,k6_xcmplx_0(k4_polyform(A),1))) & v1_finset_1(k5_polyform(A,k6_xcmplx_0(k4_polyform(A),1))) ) ) )).
fof(fc2_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k5_vfunct_1(k15_pre_poly(A),B,C)) & v1_polynom1(k5_vfunct_1(k15_pre_poly(A),B,C),B) ) ) )).
fof(fc2_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => v1_finset_1(k2_polynom1(B,C)) ) )).
fof(fc2_polynom3,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( v2_funct_1(k6_polynom3(A,B)) & ~ v1_xboole_0(k6_polynom3(A,B)) & v1_pre_poly(k6_polynom3(A,B)) ) ) )).
fof(fc2_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k4_polynom5(A,B,C)) & v1_funct_2(k4_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k4_polynom5(A,B,C),A) ) ) )).
fof(fc2_polynom6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) ) => ( v3_ordinal1(k10_ordinal2(B,A)) & ~ v1_xboole_0(k10_ordinal2(B,A)) ) ) )).
fof(fc2_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) ) => ( v1_funct_1(k9_polynom1(A,B)) & v1_funct_2(k9_polynom1(A,B),k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(k9_polynom1(A,B),A,B) ) ) )).
fof(fc2_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & ~ v2_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k1_polyred(A,B,C,D)) & v1_funct_2(k1_polyred(A,B,C,D),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k1_polyred(A,B,C,D),C) ) ) )).
fof(fc2_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => v8_relat_2(k5_poset_1(A,B)) ) )).
fof(fc2_poset_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v1_poset_1(k3_yellow_3(A,B)) ) ) )).
fof(fc2_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ~ v1_xboole_0(k6_pralg_2(A,B)) ) )).
fof(fc2_pralg_3,axiom,( ! [A] : ( v1_setfam_1(A) => ( v1_relat_1(k4_relat_1(A)) & v2_relat_1(k4_relat_1(A)) ) ) )).
fof(fc2_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_relat_1(k5_relat_1(B,C)) & v1_partfun1(k5_relat_1(B,C),C) ) ) )).
fof(fc2_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) & v1_relat_1(B) & v1_funct_1(B) & v1_pre_poly(B) ) => ( v1_relat_1(k8_pre_poly(A,B)) & v1_funct_1(k8_pre_poly(A,B)) & v1_pre_poly(k8_pre_poly(A,B)) ) ) )).
fof(fc2_pre_topc,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k1_pre_topc(A,B)) & v1_pre_topc(k1_pre_topc(A,B)) ) ) )).
fof(fc2_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => v3_relat_2(k1_prefer_1(A,B)) ) )).
fof(fc2_prepower,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => v1_xreal_0(k2_prepower(A,B)) ) )).
fof(fc2_prob_1,axiom,( ! [A] : v1_prob_1(k1_zfmisc_1(A),A) )).
fof(fc2_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k1_prob_3(A,C),B) & v1_funct_1(k1_prob_3(A,C)) & v1_funct_2(k1_prob_3(A,C),k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(fc2_prvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( ~ v2_struct_0(k6_prvect_1(A,B)) & v7_vectsp_1(k6_prvect_1(A,B),A) ) ) )).
fof(fc2_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ( ~ v2_struct_0(k14_prvect_2(A)) & v13_algstr_0(k14_prvect_2(A)) & v2_rlvect_1(k14_prvect_2(A)) & v3_rlvect_1(k14_prvect_2(A)) & v4_rlvect_1(k14_prvect_2(A)) & v5_rlvect_1(k14_prvect_2(A)) & v6_rlvect_1(k14_prvect_2(A)) & v7_rlvect_1(k14_prvect_2(A)) & v8_rlvect_1(k14_prvect_2(A)) & v3_normsp_0(k14_prvect_2(A)) & v4_normsp_0(k14_prvect_2(A)) & v1_normsp_1(k14_prvect_2(A)) & v2_normsp_1(k14_prvect_2(A)) ) ) )).
fof(fc2_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v2_rlvect_1(B) & l2_algstr_0(B) ) => ( ~ v2_struct_0(k4_prvect_3(A,B)) & v8_algstr_0(k4_prvect_3(A,B)) & v2_rlvect_1(k4_prvect_3(A,B)) ) ) )).
fof(fc2_pscomp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v2_compts_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v1_compts_1(k1_pre_topc(A,B)) ) ) )).
fof(fc2_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_partfun1(k9_pua2mss1(A),u1_struct_0(A)) & v3_relat_2(k9_pua2mss1(A)) & v8_relat_2(k9_pua2mss1(A)) ) ) )).
fof(fc2_pythtrip,axiom,( ! [A] : ! [B] : ( ( v1_pythtrip(A) & v1_pythtrip(B) ) => v1_pythtrip(k3_xcmplx_0(A,B)) ) )).
fof(fc2_pzfmisc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k2_pzfmisc1(A,B,C)) & v2_relat_1(k2_pzfmisc1(A,B,C)) & v4_relat_1(k2_pzfmisc1(A,B,C),A) & v1_funct_1(k2_pzfmisc1(A,B,C)) & v1_partfun1(k2_pzfmisc1(A,B,C),A) & v2_finset_1(k2_pzfmisc1(A,B,C)) ) ) )).
fof(fc2_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k2_qc_lang1(A)) ) )).
fof(fc2_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => ~ v1_xboole_0(k2_qmax_1(A)) ) )).
fof(fc2_quatern2,axiom,( ~ v2_struct_0(k14_quatern2) & v8_algstr_0(k14_quatern2) )).
fof(fc2_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => v1_quaterni(k3_quatern3(A)) ) )).
fof(fc2_quaterni,axiom,( v1_quaterni(k1_xcmplx_0) )).
fof(fc2_quin_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => v1_xreal_0(k1_quin_1(A,B,C)) ) )).
fof(fc2_quofield,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v5_group_1(A) & l5_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) ) => ~ v1_xboole_0(k6_quofield(A,B)) ) )).
fof(fc2_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k2_radix_3(A)) ) )).
fof(fc2_ramsey_1,axiom,( ! [A] : ! [B] : ( ~ v1_finset_1(A) => ~ v1_finset_1(k2_xboole_0(A,B)) ) )).
fof(fc2_random_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v7_ordinal1(B) ) => ~ v1_xboole_0(k1_funct_1(A,B)) ) )).
fof(fc2_rat_1,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_rat_1(B) ) => v1_rat_1(k2_xcmplx_0(A,B)) ) )).
fof(fc2_ratfunc1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => ( v1_int_1(k4_xxreal_0(A,B)) & v1_xxreal_0(k4_xxreal_0(A,B)) ) ) )).
fof(fc2_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v2_rcomp_1(k1_xxreal_1(A,B)) ) )).
fof(fc2_rcomp_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xxreal_0(B) ) => v3_xxreal_2(k2_xxreal_1(A,B)) ) )).
fof(fc2_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v8_ordinal1(k5_int_1(A,k5_numbers)) & v1_int_1(k5_int_1(A,k5_numbers)) ) ) )).
fof(fc2_real_lat,axiom,( ~ v2_struct_0(k3_real_lat) & v3_lattices(k3_real_lat) )).
fof(fc2_real_ns1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k4_real_ns1(A)) & ~ v7_struct_0(k4_real_ns1(A)) & v1_normsp_1(k4_real_ns1(A)) ) ) )).
fof(fc2_realset1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_funct_1(k1_realset1(A,B)) ) )).
fof(fc2_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => v1_relat_1(k4_xboole_0(A,B)) ) )).
fof(fc2_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_relat_2(A) ) => ( v1_relat_1(k2_relat_1(A)) & v1_relat_2(k2_relat_1(A)) ) ) )).
fof(fc2_reloc,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_compos_0(k3_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(fc2_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_relat_1(C) ) => v4_relat_1(k3_xboole_0(B,C),A) ) )).
fof(fc2_revrot_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v7_struct_0(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc2_rewrite2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_rewrite2(A) ) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) & v1_finset_1(k1_funct_1(A,B)) ) ) )).
fof(fc2_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_relat_1(k1_rfunct_1(A,B)) & v1_funct_1(k1_rfunct_1(A,B)) & v3_valued_0(k1_rfunct_1(A,B)) ) ) )).
fof(fc2_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k5_relat_1(A,B)) & v5_valued_0(k5_relat_1(A,B)) ) ) )).
fof(fc2_rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k19_rfunct_3(A,B)) & v1_finset_1(k19_rfunct_3(A,B)) ) ) )).
fof(fc2_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v1_funct_1(k3_rinfsup2(A)) & v1_funct_2(k3_rinfsup2(A),k4_ordinal1,k6_numbers) & v7_valued_0(k3_rinfsup2(A)) ) ) )).
fof(fc2_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v2_ideal_1(k2_struct_0(A),A) & v3_ideal_1(k2_struct_0(A),A) ) ) )).
fof(fc2_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( v1_funct_1(k2_funcop_1(k4_ordinal1,B)) & v1_funct_2(k2_funcop_1(k4_ordinal1,B),k4_ordinal1,A) & v1_ring_2(k2_funcop_1(k4_ordinal1,B),A) & v2_ring_2(k2_funcop_1(k4_ordinal1,B),A) ) ) )).
fof(fc2_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( v2_ringcat1(k4_ringcat1(A)) & v3_ringcat1(k4_ringcat1(A)) ) ) )).
fof(fc2_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k3_convex1(A,B)) & v1_convex1(k3_convex1(A,B),A) ) ) )).
fof(fc2_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v1_rlvect_5(k15_euclid(A)) ) ) )).
fof(fc2_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v3_lattices(g3_lattices(k3_rlsub_2(A),k5_rlsub_2(A),k6_rlsub_2(A))) & v10_lattices(g3_lattices(k3_rlsub_2(A),k5_rlsub_2(A),k6_rlsub_2(A))) ) ) )).
fof(fc2_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k1_rltopsp1(A,B,C)) & v1_convex1(k1_rltopsp1(A,B,C),A) ) ) )).
fof(fc2_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ~ v1_xboole_0(k11_rlvect_2(A)) ) )).
fof(fc2_robbins3,axiom,( v3_orders_2(k1_robbins3) )).
fof(fc2_robbins4,axiom,( ~ v2_struct_0(k1_robbins4) )).
fof(fc2_roughs_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k9_relat_1(u1_orders_2(A),B)) ) )).
fof(fc2_rsspace,axiom,( v13_algstr_0(k4_rsspace) & v1_rlvect_1(k4_rsspace) & v2_rlvect_1(k4_rsspace) & v3_rlvect_1(k4_rsspace) & v4_rlvect_1(k4_rsspace) & v5_rlvect_1(k4_rsspace) & v6_rlvect_1(k4_rsspace) & v7_rlvect_1(k4_rsspace) & v8_rlvect_1(k4_rsspace) )).
fof(fc2_rsspace3,axiom,( v1_rlsub_1(k1_rsspace3,k4_rsspace) )).
fof(fc2_rsspace4,axiom,( v1_rlsub_1(k1_rsspace4,k4_rsspace) )).
fof(fc2_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v3_lattices(g3_lattices(k3_rusub_2(A),k5_rusub_2(A),k6_rusub_2(A))) & v10_lattices(g3_lattices(k3_rusub_2(A),k5_rusub_2(A),k6_rusub_2(A))) ) ) )).
fof(fc2_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ~ v2_struct_0(k5_rusub_5(A)) ) )).
fof(fc2_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => v3_valued_0(k5_finseq_1(A)) ) )).
fof(fc2_rvsum_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v7_ordinal1(B) ) => ( v1_relat_1(k5_relat_1(A,k2_finseq_1(B))) & v1_partfun3(k5_relat_1(A,k2_finseq_1(B))) ) ) )).
fof(fc2_scm_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v5_relat_1(k6_afinsq_1(A,B),k4_numbers) ) )).
fof(fc2_scm_halt,axiom,( ! [A] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k11_compos_1(k1_scmfsa_2,A)) & v4_relat_1(k11_compos_1(k1_scmfsa_2,A),k4_ordinal1) & v5_relat_1(k11_compos_1(k1_scmfsa_2,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k11_compos_1(k1_scmfsa_2,A)) & v1_finset_1(k11_compos_1(k1_scmfsa_2,A)) & v1_scm_halt(k11_compos_1(k1_scmfsa_2,A)) ) ) )).
fof(fc2_scm_inst,axiom,( ~ v1_xboole_0(k3_scm_inst) )).
fof(fc2_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_amistd_1(k6_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc2_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v3_compos_1(k2_scmfsa6a(A,B),k1_scmfsa_2) ) ) )).
fof(fc2_scmfsa6b,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v6_amistd_1(k2_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc2_scmfsa6c,axiom,( ! [A] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k11_compos_1(k1_scmfsa_2,A)) & v4_relat_1(k11_compos_1(k1_scmfsa_2,A),k4_ordinal1) & v5_relat_1(k11_compos_1(k1_scmfsa_2,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k11_compos_1(k1_scmfsa_2,A)) & v1_finset_1(k11_compos_1(k1_scmfsa_2,A)) & v6_amistd_1(k11_compos_1(k1_scmfsa_2,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc2_scmfsa7b,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_int_1(B) ) => ( v1_relat_1(k1_scmfsa_7(A,B)) & v4_relat_1(k1_scmfsa_7(A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa_7(A,B)) & v1_finset_1(k1_scmfsa_7(A,B)) & v6_amistd_1(k1_scmfsa_7(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc2_scmfsa8a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_relat_1(k1_scmfsa6a(A)) & v4_relat_1(k1_scmfsa6a(A),k4_ordinal1) & v5_relat_1(k1_scmfsa6a(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6a(A)) & v1_finset_1(k1_scmfsa6a(A)) & v1_afinsq_1(k1_scmfsa6a(A)) ) ) )).
fof(fc2_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k2_scmfsa8b(C,A,B)) & v1_relat_1(k2_scmfsa8b(C,A,B)) & v4_relat_1(k2_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa8b(C,A,B)) & v1_finset_1(k2_scmfsa8b(C,A,B)) & v1_afinsq_1(k2_scmfsa8b(C,A,B)) & v5_amistd_1(k2_scmfsa8b(C,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc2_scmfsa9a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k1_scmfsa8c(B,A)) & v4_relat_1(k1_scmfsa8c(B,A),k4_ordinal1) & v5_relat_1(k1_scmfsa8c(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_scmfsa8c(B,A)) & v1_funct_1(k1_scmfsa8c(B,A)) & v1_finset_1(k1_scmfsa8c(B,A)) & v1_afinsq_1(k1_scmfsa8c(B,A)) & v5_amistd_1(k1_scmfsa8c(B,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc2_scmfsa_1,axiom,( ~ v1_xboole_0(k1_scmfsa_i) )).
fof(fc2_scmfsa_2,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v1_amistd_4(k1_scmfsa_2) )).
fof(fc2_scmfsa_3,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v4_amistd_5(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc2_scmfsa_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_compos_0(k7_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc2_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k1_scmfsa_x(B,A)) & v4_relat_1(k1_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k1_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_scmfsa_x(B,A)) & v1_funct_1(k1_scmfsa_x(B,A)) & v1_finset_1(k1_scmfsa_x(B,A)) & v1_afinsq_1(k1_scmfsa_x(B,A)) & v1_scmfsa7b(k1_scmfsa_x(B,A)) ) ) )).
fof(fc2_scmfsa_i,axiom,( v3_finseq_1(k10_xtuple_0(k2_scmfsa_i)) )).
fof(fc2_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) => ( v1_relat_1(k1_scmfsa_m(A)) & v4_relat_1(k1_scmfsa_m(A),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa_m(A)) & v5_funct_1(k1_scmfsa_m(A),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v5_memstr_0(k1_scmfsa_m(A),k5_card_1(3),k1_scmfsa_2,k5_numbers) ) ) )).
fof(fc2_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k4_scmfsa_x(B,A)) & v4_relat_1(k4_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k4_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_scmfsa_x(B,A)) & v1_funct_1(k4_scmfsa_x(B,A)) & v1_finset_1(k4_scmfsa_x(B,A)) & v1_afinsq_1(k4_scmfsa_x(B,A)) & v3_compos_1(k4_scmfsa_x(B,A),k1_scmfsa_2) & v4_compos_1(k4_scmfsa_x(B,A),k1_scmfsa_2) ) ) )).
fof(fc2_scmpds_2,axiom,( v2_memstr_0(k1_scmpds_2,k5_card_1(2)) & v3_memstr_0(k1_scmpds_2,k5_card_1(2)) & v1_extpro_1(k1_scmpds_2,k5_card_1(2)) )).
fof(fc2_scmpds_3,axiom,( v1_extpro_1(k1_scmpds_2,k5_card_1(2)) & v4_amistd_5(k1_scmpds_2,k5_card_1(2)) )).
fof(fc2_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v4_scmpds_4(k10_scmpds_2(A,B,C)) ) )).
fof(fc2_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => v6_compos_0(k5_scmpds_2(A,B),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc2_scmpds_6,axiom,( ! [A] : ( v7_ordinal1(A) => v6_compos_0(k3_scmpds_2(k4_xcmplx_0(k1_nat_1(A,1))),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc2_scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( ~ v1_xboole_0(k1_scmpds_8(B,C,A)) & v1_relat_1(k1_scmpds_8(B,C,A)) & v4_relat_1(k1_scmpds_8(B,C,A),k4_ordinal1) & v5_relat_1(k1_scmpds_8(B,C,A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k1_scmpds_8(B,C,A)) & v1_finset_1(k1_scmpds_8(B,C,A)) & v1_afinsq_1(k1_scmpds_8(B,C,A)) & v2_compos_1(k1_scmpds_8(B,C,A),k1_scmpds_2) ) ) )).
fof(fc2_scmpds_i,axiom,( v3_finseq_1(k10_xtuple_0(k1_scmpds_i)) )).
fof(fc2_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v2_memstr_0(k1_scmring2(A),k5_card_1(2)) & v1_extpro_1(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc2_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v4_amistd_1(k3_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc2_scmring4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & v3_amistd_5(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc2_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ( ~ v1_xboole_0(k1_scmringi(A)) & ~ v1_zfmisc_1(k1_scmringi(A)) ) ) )).
fof(fc2_scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k1_scmyciel(A)) ) )).
fof(fc2_scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( ~ v1_xboole_0(k3_scpinvar(B,C,A)) & v1_relat_1(k3_scpinvar(B,C,A)) & v4_relat_1(k3_scpinvar(B,C,A),k4_ordinal1) & v5_relat_1(k3_scpinvar(B,C,A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k3_scpinvar(B,C,A)) & v1_finset_1(k3_scpinvar(B,C,A)) & v1_afinsq_1(k3_scpinvar(B,C,A)) & v2_compos_1(k3_scpinvar(B,C,A),k1_scmpds_2) ) ) )).
fof(fc2_seq_1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) ) => ( v1_funct_1(k1_seq_1(A)) & v1_funct_2(k1_seq_1(A),k4_ordinal1,k1_numbers) & v9_ordinal1(k1_seq_1(A)) ) ) )).
fof(fc2_seq_2,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k24_valued_1(B,A)) & v1_funct_2(k24_valued_1(B,A),k4_ordinal1,k1_numbers) & v2_comseq_2(k24_valued_1(B,A)) ) ) )).
fof(fc2_seq_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( v1_funct_1(k6_nat_1(A,B)) & v1_funct_2(k6_nat_1(A,B),k4_ordinal1,k1_numbers) & v2_comseq_2(k6_nat_1(A,B)) ) ) )).
fof(fc2_seqm_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( v1_relat_1(k6_nat_1(A,B)) & v4_relat_1(k6_nat_1(A,B),k4_ordinal1) & v1_funct_1(k6_nat_1(A,B)) & v1_partfun1(k6_nat_1(A,B),k4_ordinal1) & v3_valued_0(k6_nat_1(A,B)) ) ) )).
fof(fc2_series_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v7_ordinal1(k2_power(A,B)) & v1_xreal_0(k2_power(A,B)) ) ) )).
fof(fc2_setfam_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_setfam_1(k1_tarski(A)) ) )).
fof(fc2_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_funct_1(k3_setlim_1(B)) & v1_funct_2(k3_setlim_1(B),k4_ordinal1,k9_setfam_1(A)) & v2_prob_1(k3_setlim_1(B)) ) ) )).
fof(fc2_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => v1_finset_1(k3_sf_mastr(A)) ) )).
fof(fc2_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k7_scmfsa_2(A,B)) ) )).
fof(fc2_sfmastr2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( v1_relat_1(k2_sfmastr2(A,B)) & v4_relat_1(k2_sfmastr2(A,B),k4_ordinal1) & v5_relat_1(k2_sfmastr2(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_sfmastr2(A,B)) & v1_funct_1(k2_sfmastr2(A,B)) & v1_finset_1(k2_sfmastr2(A,B)) & v1_afinsq_1(k2_sfmastr2(A,B)) & v3_compos_1(k2_sfmastr2(A,B),k1_scmfsa_2) & v4_compos_1(k2_sfmastr2(A,B),k1_scmfsa_2) & v5_amistd_1(k2_sfmastr2(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc2_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( v1_relat_1(k2_sfmastr3(A,B,C,D)) & v4_relat_1(k2_sfmastr3(A,B,C,D),k4_ordinal1) & v5_relat_1(k2_sfmastr3(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_sfmastr3(A,B,C,D)) & ~ v1_xboole_0(k2_sfmastr3(A,B,C,D)) & v1_finset_1(k2_sfmastr3(A,B,C,D)) & v1_afinsq_1(k2_sfmastr3(A,B,C,D)) & v3_compos_1(k2_sfmastr3(A,B,C,D),k1_scmfsa_2) & v4_compos_1(k2_sfmastr3(A,B,C,D),k1_scmfsa_2) & v5_amistd_1(k2_sfmastr3(A,B,C,D),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc2_sgraph1,axiom,( ! [A] : ~ v1_xboole_0(k3_sgraph1(A)) )).
fof(fc2_simplex0,axiom,( ! [A] : ( v1_classes1(A) => v1_classes1(k2_cohsp_1(A)) ) )).
fof(fc2_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & v2_simplex0(C) & v6_simplex0(C,u1_struct_0(B)) & m1_simplex0(C,u1_struct_0(B)) ) => ( ~ v3_pencil_1(k5_simplex1(A,B,C)) & v1_matroid0(k5_simplex1(A,B,C)) & v3_matroid0(k5_simplex1(A,B,C)) & v2_simplex0(k5_simplex1(A,B,C)) ) ) )).
fof(fc2_simplex2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( v2_compts_1(k3_convex1(k15_euclid(A),B),k15_euclid(A)) & v1_convex1(k3_convex1(k15_euclid(A),B),k15_euclid(A)) ) ) )).
fof(fc2_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( v1_funct_1(k3_sin_cos(A)) & v1_funct_2(k3_sin_cos(A),k4_ordinal1,k2_numbers) & v2_comseq_3(k3_sin_cos(A)) ) ) )).
fof(fc2_sin_cos2,axiom,( ! [A] : v1_xreal_0(k4_sin_cos2(A)) )).
fof(fc2_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc2_sin_cos9,axiom,( v1_relat_1(k5_relat_1(k27_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos))) & v2_funct_1(k5_relat_1(k27_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(fc2_sincos10,axiom,( v1_relat_1(k5_relat_1(k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) & v2_funct_1(k5_relat_1(k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(fc2_sppol_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => v4_pre_topc(k1_rltopsp1(k15_euclid(A),B,C),k15_euclid(A)) ) )).
fof(fc2_sppol_2,axiom,( ! [A] : ! [B] : ( ( v2_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => v2_topreal1(k1_rfinseq(B,A)) ) )).
fof(fc2_sprect_1,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => v2_compts_1(k3_topreal1(2,A),k15_euclid(2)) ) )).
fof(fc2_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v1_sprect_2(k1_sprect_1(A)) ) )).
fof(fc2_sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ~ v1_sppol_1(k3_topreal1(2,A)) & ~ v2_sppol_1(k3_topreal1(2,A)) ) ) )).
fof(fc2_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k1_square_1(A)) ) )).
fof(fc2_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => v1_xboole_0(k3_tarski(k3_xboole_0(k1_partit1(k1_xboole_0),k5_finsub_1(B)))) ) )).
fof(fc2_srings_2,axiom,( ! [A] : ( v1_srings_1(k5_finsub_1(A),A) & v3_srings_1(k5_finsub_1(A),A) & ~ v1_setfam_1(k5_finsub_1(A)) ) )).
fof(fc2_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & v1_funct_1(E) & v1_funct_2(E,B,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ~ v11_struct_0(g1_stacks_1(A,B,C,D,E,F)) & v1_stacks_1(g1_stacks_1(A,B,C,D,E,F)) ) ) )).
fof(fc2_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ~ v1_xboole_0(u1_struct_0(A)) ) )).
fof(fc2_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ~ v1_xboole_0(k1_enumset1(A,B,C)) )).
fof(fc2_substlat,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k5_substlat(A,B)) & v3_lattices(k5_substlat(A,B)) ) )).
fof(fc2_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => v4_funct_1(k1_substut1(A)) ) )).
fof(fc2_supinf_1,axiom,( ! [A] : ( v2_membered(A) => ( ~ v1_xboole_0(k4_supinf_1(A)) & v2_membered(k4_supinf_1(A)) ) ) )).
fof(fc2_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_pre_topc(k2_t_1topsp(A)) & v7_pre_topc(k2_t_1topsp(A)) ) ) )).
fof(fc2_taylor_1,axiom,( ~ v1_xboole_0(k3_limfunc1(k5_numbers)) )).
fof(fc2_tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => v6_tbsp_1(k8_metric_1(A,B,C),A) ) )).
fof(fc2_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( ~ v2_struct_0(k2_tdgroup(A)) & v1_analoaf(k2_tdgroup(A)) ) ) )).
fof(fc2_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k5_tdlat_1(A)) ) )).
fof(fc2_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k10_polynom1(A,B,C,D)) & v1_funct_2(k10_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(k10_polynom1(A,B,C,D),A,B) ) ) )).
fof(fc2_tex_1,axiom,( ! [A] : ( v1_pre_topc(k2_tex_1(A)) & v2_pre_topc(k2_tex_1(A)) & v2_tdlat_3(k2_tex_1(A)) ) )).
fof(fc2_tex_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k1_tex_2(A,B)) & v13_struct_0(k1_tex_2(A,B),1) & v1_pre_topc(k1_tex_2(A,B)) ) ) )).
fof(fc2_tex_4,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k2_pre_topc(A,B)) ) )).
fof(fc2_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => ( v1_convex1(k3_tietze_2(A,B,C),k15_euclid(A)) & v2_compts_1(k3_tietze_2(A,B,C),k15_euclid(A)) ) ) )).
fof(fc2_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,D),D,B) ) ) )).
fof(fc2_topalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k2_topalg_1(A,B)) ) )).
fof(fc2_topalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) & m1_subset_1(B,u1_struct_0(A)) ) => ( v7_struct_0(k5_topalg_1(A,B)) & v15_algstr_0(k5_topalg_1(A,B)) ) ) )).
fof(fc2_topalg_3,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v1_connsp_1(A) & l1_pre_topc(A) & v2_pre_topc(B) & v1_connsp_1(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v1_connsp_1(k2_borsuk_1(A,B)) ) ) )).
fof(fc2_topalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_borsuk_2(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v1_borsuk_2(k2_borsuk_1(A,B)) ) ) )).
fof(fc2_topalg_5,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v1_tsep_1(k1_pre_topc(A,B),A) ) ) )).
fof(fc2_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ~ v2_struct_0(k3_mfold_2(A,B,C)) & v1_topalg_2(k3_mfold_2(A,B,C),A) ) ) )).
fof(fc2_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) ) => ( v1_funct_1(k3_group_1(A)) & v1_funct_2(k3_group_1(A),u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(k3_group_1(A),A,A) ) ) )).
fof(fc2_topdim_1,axiom,( ! [A] : v3_topdim_1(k1_compts_1(A)) )).
fof(fc2_topdim_2,axiom,( ! [A] : ! [B] : ( ( v1_topdim_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v1_xxreal_0(k1_topdim_2(A,B)) & v1_int_1(k1_topdim_2(A,B)) ) ) )).
fof(fc2_topgen_1,axiom,( ! [A] : ( ( v1_orders_4(A) & l1_struct_0(A) ) => v4_card_3(k2_struct_0(A)) ) )).
fof(fc2_topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k5_topgen_2(A,B)) & v1_pre_topc(k5_topgen_2(A,B)) ) ) )).
fof(fc2_topgen_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k5_topgen_3(A)) & v1_pre_topc(k5_topgen_3(A)) & v2_pre_topc(k5_topgen_3(A)) ) ) )).
fof(fc2_topgen_4,axiom,( ~ v4_card_3(k1_numbers) )).
fof(fc2_topgen_5,axiom,( ~ v1_xboole_0(k2_topgen_5) )).
fof(fc2_topgen_6,axiom,( ~ v2_struct_0(k2_topgen_3) & v1_pre_topc(k2_topgen_3) & v2_pre_topc(k2_topgen_3) & v1_metrizts(k2_topgen_3) )).
fof(fc2_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k3_group_1(A)) & v2_funct_1(k3_group_1(A)) & v1_funct_2(k3_group_1(A),u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(k3_group_1(A),u1_struct_0(A)) ) ) )).
fof(fc2_topmetr,axiom,( ~ v2_struct_0(k3_topmetr) & v1_pre_topc(k3_topmetr) & v2_pre_topc(k3_topmetr) )).
fof(fc2_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v8_pre_topc(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc2_topreal6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => v2_connsp_1(k1_rltopsp1(k15_euclid(2),A,B),k15_euclid(2)) ) )).
fof(fc2_topreal7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v6_metric_1(B) & l1_metric_1(B) ) => ( v1_metric_1(k1_topreal7(A,B)) & v6_metric_1(k1_topreal7(A,B)) ) ) )).
fof(fc2_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ~ v1_xboole_0(k1_topreal9(A,B,C)) ) )).
fof(fc2_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k2_xxreal_1(A,k2_xcmplx_0(A,B))) ) )).
fof(fc2_toprealb,axiom,( ~ v1_xboole_0(k1_xxreal_1(k4_xcmplx_0(1),1)) )).
fof(fc2_toprealc,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => v2_xxreal_0(k1_square_1(A)) ) )).
fof(fc2_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc2_trees_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) => v1_trees_1(k2_xboole_0(A,B)) ) )).
fof(fc2_trees_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ( ~ v1_xboole_0(k9_xtuple_0(A)) & v1_trees_1(k9_xtuple_0(A)) ) ) )).
fof(fc2_trees_3,axiom,( ~ v1_xboole_0(k2_trees_3) )).
fof(fc2_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_trees_3(B,A) & m1_subset_1(C,A) & m1_finseq_1(D,B) ) => ( v1_relat_1(k4_trees_4(C,D)) & v5_relat_1(k4_trees_4(C,D),A) & v1_funct_1(k4_trees_4(C,D)) & v3_trees_2(k4_trees_4(C,D)) ) ) )).
fof(fc2_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v2_trees_9(A) ) => v1_trees_2(k9_xtuple_0(A)) ) )).
fof(fc2_unialg_1,axiom,( ! [A] : ( ( v2_unialg_1(A) & l1_unialg_1(A) ) => v4_margrel1(u1_unialg_1(A),u1_struct_0(A)) ) )).
fof(fc2_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ~ v1_xboole_0(k9_unialg_2(A)) ) )).
fof(fc2_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ~ v1_xboole_0(k2_uniroots(A)) ) )).
fof(fc2_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v1_vectsp_2(k13_polynom3(A)) ) ) )).
fof(fc2_urysohn1,axiom,( ~ v1_xboole_0(k2_urysohn1) )).
fof(fc2_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_valued_0(A) ) => v2_membered(k10_xtuple_0(A)) ) )).
fof(fc2_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v1_valued_0(k1_valued_1(A,B)) ) ) )).
fof(fc2_valued_2,axiom,( ! [A] : v1_valued_2(k2_valued_2(A)) )).
fof(fc2_vectmetr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(B,u1_struct_0(A)) & v3_vectmetr(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B)) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),u1_struct_0(A)) & v3_vectmetr(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),A) ) ) )).
fof(fc2_vectsp_1,axiom,( v3_membered(u1_struct_0(k1_vectsp_1)) )).
fof(fc2_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( l1_struct_0(A) & l1_struct_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) & m1_subset_1(E,C) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),C),C))) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(B)),C))) ) => ( ~ v2_struct_0(g2_vectsp_2(A,B,C,D,E,F,G)) & v3_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) ) ) )).
fof(fc2_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k2_vfunct_1(A,B,C,D)) & v1_partfun1(k2_vfunct_1(A,B,C,D),A) ) ) )).
fof(fc2_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k5_vsdiff_1(A,B,C,D,E,F)) & v1_funct_2(k5_vsdiff_1(A,B,C,D,E,F),u1_struct_0(C),u1_struct_0(E)) ) ) )).
fof(fc2_waybel10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_waybel_1(A,B,C)) & v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k1_yellow_2(A,B,C))) & v5_orders_3(k2_waybel_1(A,B,C),A,k1_yellow_2(A,B,C)) ) ) )).
fof(fc2_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_waybel11(k2_struct_0(A),A) & v2_waybel11(k2_struct_0(A),A) ) ) )).
fof(fc2_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => v2_waybel12(k4_yellow_0(A),A) ) )).
fof(fc2_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_orders_2(k1_yellow_1(u1_pre_topc(A))) & v2_waybel_1(k1_yellow_1(u1_pre_topc(A))) ) ) )).
fof(fc2_waybel16,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k8_waybel_0(A))) & v3_lattice3(k1_yellow_1(k8_waybel_0(A))) ) ) )).
fof(fc2_waybel17,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v3_lattice3(k5_yellow_1(A,B)) ) ) )).
fof(fc2_waybel18,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ( v1_pre_topc(k3_waybel18(A,B)) & v2_pre_topc(k3_waybel18(A,B)) & v1_monoid_0(k3_waybel18(A,B)) ) ) )).
fof(fc2_waybel21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k3_yellow_9(A,B)) & v6_waybel_0(k3_yellow_9(A,B),A) & v9_waybel_0(k3_yellow_9(A,B),A) ) ) )).
fof(fc2_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_waybel22(A,B,C)) & v1_funct_2(k2_waybel22(A,B,C),u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B)) & v22_waybel_0(k2_waybel22(A,B,C),k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),B) ) ) )).
fof(fc2_waybel23,axiom,( ! [A] : ! [B] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & v1_lattice3(k5_yellow_0(A,B)) ) ) )).
fof(fc2_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & v5_orders_3(D,k3_yellow_3(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k1_waybel24(A,B,C,D,E)) & v1_funct_2(k1_waybel24(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(k1_waybel24(A,B,C,D,E),B,C) ) ) )).
fof(fc2_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_waybel18(A) & l1_pre_topc(A) ) => ( v1_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) & v2_waybel18(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) ) ) )).
fof(fc2_waybel26,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ( ~ v2_struct_0(k1_waybel26(A,B)) & v1_orders_2(k1_waybel26(A,B)) & v5_orders_2(k1_waybel26(A,B)) ) ) )).
fof(fc2_waybel27,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_waybel27(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_waybel27(k5_relat_1(A,B)) ) ) )).
fof(fc2_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ~ v2_struct_0(k1_waybel28(A,B,C)) & v4_orders_2(k1_waybel28(A,B,C)) & v6_waybel_0(k1_waybel28(A,B,C),A) & v7_waybel_0(k1_waybel28(A,B,C)) ) ) )).
fof(fc2_waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v1_yellow_0(k5_yellow_1(A,B)) ) ) )).
fof(fc2_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k7_waybel_0(A))) & v1_waybel_2(k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc2_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k5_waybel11(A))) & v1_lattice3(k1_yellow_1(k5_waybel11(A))) & v3_waybel_3(k1_yellow_1(k5_waybel11(A))) ) ) )).
fof(fc2_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v7_waybel_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ~ v2_struct_0(k1_waybel32(A,B,C)) & v6_waybel_0(k1_waybel32(A,B,C),A) & v7_waybel_0(k1_waybel32(A,B,C)) ) ) )).
fof(fc2_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v18_waybel_0(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k2_waybel34(A,B,C)) & v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v4_waybel_1(k2_waybel34(A,B,C),A,B) ) ) )).
fof(fc2_waybel35,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_waybel35(C,A,B) ) => ~ v1_xboole_0(k2_waybel35(A,B,C)) ) )).
fof(fc2_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_yellow_0(A) & l1_orders_2(A) ) => v1_waybel_0(k2_struct_0(A),A) ) )).
fof(fc2_waybel_1,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v23_waybel_0(k3_struct_0(A),A,A) ) ) )).
fof(fc2_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => v1_waybel_0(k2_struct_0(A),A) ) )).
fof(fc2_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v12_waybel_0(k1_waybel_3(A,B),A) ) )).
fof(fc2_waybel_4,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => v2_waybel_4(k2_waybel_4(A),A) ) )).
fof(fc2_waybel_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k1_funct_6(A)) & v2_relat_1(k1_funct_6(A)) & v1_funct_1(k1_funct_6(A)) ) ) )).
fof(fc2_waybel_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v7_struct_0(k2_yellow_1(A)) & v1_orders_2(k2_yellow_1(A)) ) ) )).
fof(fc2_waybel_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k2_waybel_8(A,B)) ) )).
fof(fc2_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( v6_waybel_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C),A) & v7_waybel_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C)) ) ) )).
fof(fc2_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v8_struct_0(k1_weddwitt(A,B)) & v15_algstr_0(k1_weddwitt(A,B)) ) ) )).
fof(fc2_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => ( v12_waybel_0(k1_wellfnd1(A),A) & v2_wellfnd1(k1_wellfnd1(A),A) ) ) )).
fof(fc2_wellord2,axiom,( ! [A] : ( v1_relat_1(k1_wellord2(A)) & v8_relat_2(k1_wellord2(A)) ) )).
fof(fc2_wsierp_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_numbers) => ( v1_xcmplx_0(k19_rvsum_1(A)) & v1_int_1(k19_rvsum_1(A)) ) ) )).
fof(fc2_xboole_0,axiom,( ! [A] : ~ v1_xboole_0(k1_tarski(A)) )).
fof(fc2_xboolean,axiom,( v1_xboolean(k2_xboolean) )).
fof(fc2_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => v1_xcmplx_0(k2_xcmplx_0(A,B)) ) )).
fof(fc2_xreal_0,axiom,( ~ v1_xreal_0(k1_xxreal_0) )).
fof(fc2_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : v2_xtuple_0(k3_xtuple_0(A,B,C)) )).
fof(fc2_xxreal_0,axiom,( v1_xxreal_0(k2_xxreal_0) )).
fof(fc2_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v2_membered(k2_xxreal_1(A,B)) ) )).
fof(fc2_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & ~ v1_xboole_0(A) & v3_xxreal_2(A) ) => ( v1_xxreal_0(k2_xxreal_2(A)) & v1_xreal_0(k2_xxreal_2(A)) ) ) )).
fof(fc2_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(A,B)) & v1_xreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc2_yellow10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_yellow_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v1_yellow_0(k3_yellow_3(A,B)) ) ) )).
fof(fc2_yellow11,axiom,( v1_lattice3(k1_yellow11) & v2_lattice3(k1_yellow11) )).
fof(fc2_yellow12,axiom,( ! [A] : ! [B] : ( v1_relat_1(k13_funct_3(k10_funct_3(A,B),k9_funct_3(A,B))) & v1_funct_1(k13_funct_3(k10_funct_3(A,B),k9_funct_3(A,B))) & v2_funct_1(k13_funct_3(k10_funct_3(A,B),k9_funct_3(A,B))) ) )).
fof(fc2_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_yellow_2(A)) & v2_funct_1(k3_yellow_2(A)) & v1_funct_2(k3_yellow_2(A),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) ) ) )).
fof(fc2_yellow14,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ~ v1_xboole_0(k10_xtuple_0(u1_waybel_0(A,B))) ) )).
fof(fc2_yellow15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_waybel23(k2_struct_0(A),A) & v4_waybel23(k2_struct_0(A),A) & v6_waybel23(k2_struct_0(A),A) & v7_waybel23(k2_struct_0(A),A) ) ) )).
fof(fc2_yellow16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) ) => ( v1_orders_2(k4_yellow_1(A,B)) & v4_orders_2(k4_yellow_1(A,B)) & v5_orders_2(k4_yellow_1(A,B)) ) ) )).
fof(fc2_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k1_yellow18(A)) & v2_altcat_1(k1_yellow18(A)) & v6_altcat_1(k1_yellow18(A)) & v11_altcat_1(k1_yellow18(A)) ) ) )).
fof(fc2_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( ~ v1_xboole_0(k2_yellow19(A,B)) & v13_waybel_0(k2_yellow19(A,B),k2_yellow_1(k2_struct_0(A))) ) ) )).
fof(fc2_yellow20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & m1_altcat_2(B,A) ) => ( v9_functor0(k10_functor0(A,B),B,A) & v12_functor0(k10_functor0(A,B),B,A) & v13_functor0(k10_functor0(A,B),B,A) ) ) )).
fof(fc2_yellow21,axiom,( ! [A] : ( v1_setfam_1(A) => v4_orders_3(k2_yellow21(A)) ) )).
fof(fc2_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k2_struct_0(A)) ) )).
fof(fc2_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ( v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A)) & v2_yellow_0(k3_lattice3(A)) ) ) )).
fof(fc2_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v2_struct_0(k1_yellow_2(A,B,C)) & v1_orders_2(k1_yellow_2(A,B,C)) & v4_yellow_0(k1_yellow_2(A,B,C),B) ) ) )).
fof(fc2_yellow_3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k4_waybel_0(A,B)) ) )).
fof(fc2_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_waybel_0(k1_yellow_4(A,B,C),A) ) )).
fof(fc2_yellow_6,axiom,( ! [A] : ( ~ v1_xboole_0(k1_yellow_6(A)) & v1_classes2(k1_yellow_6(A)) ) )).
fof(fc2_yellow_7,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v4_orders_2(k7_lattice3(A)) ) ) )).
fof(fc2_yellow_8,axiom,( ! [A] : ( v1_pre_topc(k1_yellow_8(A)) & v2_pre_topc(k1_yellow_8(A)) ) )).
fof(fc2_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k2_yellow_9(A,B)) & v3_orders_2(k2_yellow_9(A,B)) & v6_waybel_0(k2_yellow_9(A,B),A) ) ) )).
fof(fc2_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) ) => v1_zf_lang(k3_zf_lang(A,B)) ) )).
fof(fc2_zfmisc_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(B) => v1_xboole_0(k2_zfmisc_1(A,B)) ) )).
fof(fc2_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ~ v2_struct_0(k15_zmodul02(A)) & v13_algstr_0(k15_zmodul02(A)) & v2_rlvect_1(k15_zmodul02(A)) & v3_rlvect_1(k15_zmodul02(A)) & v4_rlvect_1(k15_zmodul02(A)) & v7_vectsp_1(k15_zmodul02(A),k1_int_3) & v8_vectsp_1(k15_zmodul02(A),k1_int_3) & v9_vectsp_1(k15_zmodul02(A),k1_int_3) & v10_vectsp_1(k15_zmodul02(A),k1_int_3) & v11_vectsp_1(k15_zmodul02(A),k1_int_3) ) ) )).
fof(fc2_zmodul03,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_zmodul02(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_zmodul01(k33_zmodul02(A,B)) & v1_zmodul03(k33_zmodul02(A,B)) ) ) )).
fof(fc2_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ( ~ v2_struct_0(k5_zmodul04(A)) & v13_algstr_0(k5_zmodul04(A)) & v8_vectsp_1(k5_zmodul04(A),k11_gaussint) & v9_vectsp_1(k5_zmodul04(A),k11_gaussint) & v10_vectsp_1(k5_zmodul04(A),k11_gaussint) & v11_vectsp_1(k5_zmodul04(A),k11_gaussint) & v2_rlvect_1(k5_zmodul04(A)) & v3_rlvect_1(k5_zmodul04(A)) & v4_rlvect_1(k5_zmodul04(A)) & v1_matrlin(k5_zmodul04(A),k11_gaussint) ) ) )).
fof(fc2_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_zmodul01(k3_zmodul05(A,B,C)) & v1_zmodul03(k3_zmodul05(A,B,C)) & v2_zmodul03(k3_zmodul05(A,B,C)) ) ) )).
fof(fc2_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul01(k3_zmodul01(A)) & v2_zmodul06(k3_zmodul01(A)) ) ) )).
fof(fc30_abcmiz_1,axiom,( ~ v2_struct_0(k49_abcmiz_1) & v1_orders_2(k49_abcmiz_1) & v3_orders_2(k49_abcmiz_1) & v4_orders_2(k49_abcmiz_1) & v5_orders_2(k49_abcmiz_1) & v24_waybel_0(k49_abcmiz_1) )).
fof(fc30_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( v1_relat_1(k5_afinsq_2(A,k1_xboole_0)) & v1_funct_1(k5_afinsq_2(A,k1_xboole_0)) & v1_xboole_0(k5_afinsq_2(A,k1_xboole_0)) & v5_ordinal1(k5_afinsq_2(A,k1_xboole_0)) & v1_finset_1(k5_afinsq_2(A,k1_xboole_0)) ) ) )).
fof(fc30_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( v7_struct_0(g6_algstr_0(A,B,C,D,E)) & v36_algstr_0(g6_algstr_0(A,B,C,D,E)) ) ) )).
fof(fc30_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_amistd_1(k3_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc30_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v31_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_lopban_2(A) & v3_cayldick(A) & l1_cayldick(A) ) => ( v4_vectsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc30_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) => ( v1_relat_1(k14_comput_1(A)) & v1_funct_1(k14_comput_1(A)) & v2_margrel1(k14_comput_1(A)) ) ) )).
fof(fc30_finseq_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ~ v1_xboole_0(k19_finseq_1(A)) ) )).
fof(fc30_finset_1,axiom,( ! [A] : ( v1_finset_1(A) => v5_finset_1(k1_tarski(A)) ) )).
fof(fc30_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => v1_xboole_0(k4_xboole_0(A,k2_zfmisc_1(k9_xtuple_0(A),k10_xtuple_0(A)))) ) )).
fof(fc30_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_relat_1(k21_fomodel1(A)) & v1_funct_1(k21_fomodel1(A)) & v1_pre_poly(k21_fomodel1(A)) ) ) )).
fof(fc30_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v15_fomodel1(B,A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ v7_fomodel1(k1_funct_1(k22_fomodel1(A),B),A) ) )).
fof(fc30_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) & v3_fomodel3(D,A,B,C) ) => ( v1_relat_1(k22_fomodel3(A,B,C,D)) & v1_funct_1(k22_fomodel3(A,B,C,D)) & v1_fomodel2(k22_fomodel3(A,B,C,D),A,k8_eqrel_1(B,C)) ) ) )).
fof(fc30_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k27_fomodel4(A),A) ) )).
fof(fc30_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_xboole_0(C) ) => v1_xboole_0(k10_gate_1(A,C,B)) ) )).
fof(fc30_gaussint,axiom,( ~ v2_struct_0(k11_gaussint) & ~ v6_struct_0(k11_gaussint) & v13_algstr_0(k11_gaussint) & v33_algstr_0(k11_gaussint) & v36_algstr_0(k11_gaussint) & v2_rlvect_1(k11_gaussint) & v3_rlvect_1(k11_gaussint) & v4_rlvect_1(k11_gaussint) & v3_group_1(k11_gaussint) & v5_group_1(k11_gaussint) & v3_vectsp_1(k11_gaussint) & v5_vectsp_1(k11_gaussint) & v6_vectsp_1(k11_gaussint) )).
fof(fc30_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) ) => ( v1_relat_1(k13_glib_000(A,k2_glib_003,B)) & v4_relat_1(k13_glib_000(A,k2_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k2_glib_003,B)) & v1_finset_1(k13_glib_000(A,k2_glib_003,B)) & v1_glib_003(k13_glib_000(A,k2_glib_003,B)) ) ) )).
fof(fc30_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k6_hermitan(A,B,C)) & v1_funct_2(k6_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)) & v1_bilinear(k6_hermitan(A,B,C),k1_complfld,A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_bilinear(k6_hermitan(A,B,C),k1_complfld,A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v4_bilinear(k6_hermitan(A,B,C),k1_complfld,A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_hermitan(k6_hermitan(A,B,C),A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) ) ) )).
fof(fc30_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_ideal_1(k17_ideal_1(A,B),A) ) )).
fof(fc30_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v2_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k10_member_1(A,B)) ) )).
fof(fc30_membered,axiom,( ! [A] : ! [B] : ( ( v6_membered(A) & v6_membered(B) ) => v6_membered(k2_xboole_0(A,B)) ) )).
fof(fc30_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v1_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc30_pre_poly,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ( v2_funct_1(k21_pre_poly(A,B)) & ~ v1_xboole_0(k21_pre_poly(A,B)) & v1_pre_poly(k21_pre_poly(A,B)) ) ) )).
fof(fc30_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_relat_1(C) ) => ( v1_relat_1(k3_relat_1(B,C)) & v4_relat_1(k3_relat_1(B,C),A) ) ) )).
fof(fc30_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => ( ~ v4_compos_0(k12_scmfsa_2(B,A),u1_compos_1(k1_scmfsa_2)) & v2_amistd_1(k12_scmfsa_2(B,A),k5_card_1(3),k1_scmfsa_2) & ~ v4_amistd_1(k12_scmfsa_2(B,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc30_scmfsa_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k15_scmfsa_2(C,B,A),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc30_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_scmpds_5(A) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_scmpds_4(B) & v3_scmpds_4(B) ) => ( v1_relat_1(k2_scmpds_4(A,B)) & v4_relat_1(k2_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k2_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_4(A,B)) & v1_funct_1(k2_scmpds_4(A,B)) & v1_finset_1(k2_scmpds_4(A,B)) & v1_afinsq_1(k2_scmpds_4(A,B)) & v2_scmpds_4(k2_scmpds_4(A,B)) ) ) )).
fof(fc30_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v2_amistd_1(k7_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc30_sin_cos6,axiom,( ! [A] : v1_xreal_0(k4_sin_cos6(A)) )).
fof(fc30_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_relat_1(k5_relat_1(k12_toprealb,k3_rcomp_1(A,k2_xcmplx_0(A,1)))) & v2_funct_1(k5_relat_1(k12_toprealb,k3_rcomp_1(A,k2_xcmplx_0(A,1)))) ) ) )).
fof(fc30_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(C,A,k3_topmetr) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k1_valued_1(B,C)) & v1_funct_2(k1_valued_1(B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_valued_1(B,C),A,k3_topmetr) ) ) )).
fof(fc30_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_valued_0(A) & v1_relat_1(B) & v4_valued_0(B) ) => v4_valued_0(k5_xboole_0(A,B)) ) )).
fof(fc30_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_rat_1(D) ) => ( v1_funct_1(k13_valued_1(C,D)) & v1_partfun1(k13_valued_1(C,D),A) ) ) )).
fof(fc30_valued_2,axiom,( ! [A] : ! [B] : ( v3_membered(B) => v3_valued_2(k1_funct_2(A,B)) ) )).
fof(fc30_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v5_orders_2(D) & l1_waybel_0(D,A) ) => ( v5_orders_2(k6_waybel_9(A,B,C,D)) & v6_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) )).
fof(fc30_xreal_0,axiom,( ! [A] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) ) => ( v1_xcmplx_0(k5_xcmplx_0(A)) & ~ v3_xxreal_0(k5_xcmplx_0(A)) ) ) )).
fof(fc30_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) ) => ( v1_xxreal_0(k5_xxreal_3(A)) & ~ v2_xxreal_0(k5_xxreal_3(A)) ) ) )).
fof(fc31_afinsq_2,axiom,( ! [A] : ( v1_relat_1(k5_afinsq_2(k1_xboole_0,A)) & v1_funct_1(k5_afinsq_2(k1_xboole_0,A)) & v1_xboole_0(k5_afinsq_2(k1_xboole_0,A)) & v5_ordinal1(k5_afinsq_2(k1_xboole_0,A)) & v1_finset_1(k5_afinsq_2(k1_xboole_0,A)) ) )).
fof(fc31_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ~ v7_struct_0(g6_algstr_0(A,B,C,D,E)) & v36_algstr_0(g6_algstr_0(A,B,C,D,E)) ) ) )).
fof(fc31_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_amistd_1(k4_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc31_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l1_cayldick(A) ) => ( ~ v6_struct_0(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc31_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v2_comput_1(A) & v8_comput_1(A,2) ) => ( ~ v1_xboole_0(k14_comput_1(A)) & v1_relat_1(k14_comput_1(A)) & v1_funct_1(k14_comput_1(A)) & v2_comput_1(k14_comput_1(A)) & v8_comput_1(k14_comput_1(A),3) ) ) )).
fof(fc31_finset_1,axiom,( ! [A] : ( v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A)) ) )).
fof(fc31_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),k2_xboole_0(A,k2_xboole_0(B,C)))) )).
fof(fc31_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_relat_1(B) & v5_relat_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ v1_xboole_0(k1_funct_1(k21_fomodel1(A),B)) ) )).
fof(fc31_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => v12_fomodel1(k24_fomodel2(A,B),A) ) )).
fof(fc31_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v7_ordinal1(D) & v14_fomodel1(E,D,A) & m1_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v14_fomodel1(k17_fomodel0(B,C,E),D,A) ) )).
fof(fc31_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k29_fomodel4(A),A) ) )).
fof(fc31_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_xboole_0(C) ) => v1_xboole_0(k10_gate_1(C,A,B)) ) )).
fof(fc31_gaussint,axiom,( ~ v2_struct_0(k11_gaussint) & v36_algstr_0(k11_gaussint) & v4_vectsp_1(k11_gaussint) )).
fof(fc31_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k7_glib_000(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),B))) ) => ( v1_relat_1(k13_glib_000(A,k2_glib_003,C)) & v4_relat_1(k13_glib_000(A,k2_glib_003,C),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k2_glib_003,C)) & v1_finset_1(k13_glib_000(A,k2_glib_003,C)) & v1_glib_003(k13_glib_000(A,k2_glib_003,C)) ) ) )).
fof(fc31_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & ~ v3_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k7_hermitan(A,B,C)) & ~ v3_funct_1(k7_hermitan(A,B,C)) & v1_funct_2(k7_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)) & v1_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v4_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_hermitan(k7_hermitan(A,B,C),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) ) ) )).
fof(fc31_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k7_ideal_1(A,B)) & v1_ideal_1(k7_ideal_1(A,B),A) & v2_ideal_1(k7_ideal_1(A,B),A) & v3_ideal_1(k7_ideal_1(A,B),A) & v5_ideal_1(k7_ideal_1(A,B),A) ) ) )).
fof(fc31_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => v2_membered(k10_member_1(A,B)) ) )).
fof(fc31_membered,axiom,( ! [A] : ! [B] : ( v1_membered(A) => v1_membered(k3_xboole_0(A,B)) ) )).
fof(fc31_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v2_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v2_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v1_partfun3(k18_valued_1(B,C)) ) ) )).
fof(fc31_pre_poly,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m1_subset_1(B,k15_pre_poly(A)) ) => ( v2_funct_1(k21_pre_poly(A,B)) & ~ v1_xboole_0(k21_pre_poly(A,B)) & v1_pre_poly(k21_pre_poly(A,B)) ) ) )).
fof(fc31_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) ) => ( v1_relat_1(k6_relat_1(B,C)) & v4_relat_1(k6_relat_1(B,C),A) ) ) )).
fof(fc31_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => ( ~ v4_compos_0(k13_scmfsa_2(B,A),u1_compos_1(k1_scmfsa_2)) & v2_amistd_1(k13_scmfsa_2(B,A),k5_card_1(3),k1_scmfsa_2) & ~ v4_amistd_1(k13_scmfsa_2(B,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc31_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k16_scmfsa_2(B,A),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc31_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v4_scmpds_4(B) & v1_scmpds_5(B) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k3_scmpds_4(A,B)) & v4_relat_1(k3_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k3_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k3_scmpds_4(A,B)) & v1_funct_1(k3_scmpds_4(A,B)) & v1_finset_1(k3_scmpds_4(A,B)) & v1_afinsq_1(k3_scmpds_4(A,B)) & v2_scmpds_4(k3_scmpds_4(A,B)) ) ) )).
fof(fc31_scmring3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ~ v4_amistd_1(k8_scmring2(A,B),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc31_sin_cos6,axiom,( v1_funct_1(k3_sin_cos6) & v2_funct_1(k3_sin_cos6) )).
fof(fc31_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_relat_1(k5_relat_1(k12_toprealb,k2_rcomp_1(A,k2_xcmplx_0(A,1)))) & v2_funct_1(k5_relat_1(k12_toprealb,k2_rcomp_1(A,k2_xcmplx_0(A,1)))) ) ) )).
fof(fc31_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(C,A,k3_topmetr) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k45_valued_1(B,C)) & v1_funct_2(k45_valued_1(B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k45_valued_1(B,C),A,k3_topmetr) ) ) )).
fof(fc31_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_valued_0(A) ) => v1_membered(k7_relat_1(A,B)) ) )).
fof(fc31_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_int_1(D) ) => ( v1_funct_1(k13_valued_1(C,D)) & v1_partfun1(k13_valued_1(C,D),A) ) ) )).
fof(fc31_valued_2,axiom,( ! [A] : ! [B] : ( v4_membered(B) => v4_valued_2(k1_funct_2(A,B)) ) )).
fof(fc31_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v4_orders_2(D) & l1_waybel_0(D,A) ) => ( v4_orders_2(k6_waybel_9(A,B,C,D)) & v6_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) )).
fof(fc31_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v2_xxreal_0(k7_xcmplx_0(A,B)) ) )).
fof(fc31_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) ) => ( v1_xxreal_0(k5_xxreal_3(A)) & ~ v3_xxreal_0(k5_xxreal_3(A)) ) ) )).
fof(fc32_abcmiz_1,axiom,( v1_msualg_1(k27_abcmiz_1) & v1_instalg1(k27_abcmiz_1) & v1_abcmiz_1(k27_abcmiz_1) & v12_abcmiz_1(k27_abcmiz_1) )).
fof(fc32_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v5_ordinal1(A) & v1_valued_0(A) & v1_finset_1(A) ) => v8_ordinal1(k7_afinsq_2(A)) ) )).
fof(fc32_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_amistd_1(k5_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc32_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k10_bilinear(A,B,C,D)) ) )).
fof(fc32_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_cayldick(A) & l1_cayldick(A) ) => ( v1_cayldick(k4_cayldick(A)) & v4_cayldick(k4_cayldick(A)) ) ) )).
fof(fc32_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v7_comput_1(A) & v8_comput_1(A,2) ) => ( v1_relat_1(k14_comput_1(A)) & v1_funct_1(k14_comput_1(A)) & v7_comput_1(k14_comput_1(A)) & v8_comput_1(k14_comput_1(A),3) ) ) )).
fof(fc32_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v5_finset_1(k2_tarski(A,B)) ) )).
fof(fc32_fomodel0,axiom,( ! [A] : v1_xboole_0(k5_xboole_0(k6_partfun1(k1_tarski(A)),k1_tarski(k4_tarski(A,A)))) )).
fof(fc32_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => v14_fomodel1(k5_finseq_1(B),k5_numbers,A) ) )).
fof(fc32_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel1(k26_fomodel2(A),A) ) )).
fof(fc32_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v4_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => v13_fomodel1(k17_fomodel0(C,D,B),A) ) )).
fof(fc32_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k30_fomodel4(A),A) ) )).
fof(fc32_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ~ v1_xboole_0(k10_gate_1(A,B,C)) ) )).
fof(fc32_gaussint,axiom,( ~ v2_struct_0(k11_gaussint) & v36_algstr_0(k11_gaussint) & v1_ec_pf_1(k11_gaussint) )).
fof(fc32_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k2_glib_003,B)) & v4_relat_1(k13_glib_000(A,k2_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k2_glib_003,B)) & v1_finset_1(k13_glib_000(A,k2_glib_003,B)) & v2_glib_003(k13_glib_000(A,k2_glib_003,B)) ) ) )).
fof(fc32_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k6_hermitan(A,B,C)) & v1_funct_2(k6_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)) & v1_bilinear(k6_hermitan(A,B,C),k1_complfld,A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & ~ v6_bilinear(k6_hermitan(A,B,C),k1_complfld,A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_hermitan(k6_hermitan(A,B,C),A,k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) ) ) )).
fof(fc32_ideal_1,axiom,( v6_ideal_1(k1_int_3) )).
fof(fc32_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k11_member_1(A,B)) ) )).
fof(fc32_membered,axiom,( ! [A] : ! [B] : ( v1_membered(A) => v1_membered(k3_xboole_0(B,A)) ) )).
fof(fc32_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => v6_membered(u1_struct_0(k10_moebius2(A))) ) )).
fof(fc32_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_relat_1(B) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v2_relat_1(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,C)) & v2_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) ) ) )).
fof(fc32_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m1_finseq_1(C,k4_finseq_2(A,B)) ) => ( v1_relat_1(k7_partfun1(k4_finseq_2(A,B),C,D)) & v1_funct_1(k7_partfun1(k4_finseq_2(A,B),C,D)) ) ) )).
fof(fc32_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,B) ) => ( v1_relat_1(k6_relat_1(A,C)) & v5_relat_1(k6_relat_1(A,C),A) & v5_relat_1(k6_relat_1(A,C),B) ) ) )).
fof(fc32_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v1_amistd_1(k4_xtuple_0(k6_scmfsa_2(A,B)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc32_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v6_compos_0(k17_scmfsa_2(B,A),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc32_scmpds_5,axiom,( ! [A] : ! [B] : ( ( v1_scmpds_5(A) & m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v4_scmpds_4(B) & v1_scmpds_5(B) & m1_subset_1(B,u1_compos_1(k1_scmpds_2)) ) => ( v1_relat_1(k4_scmpds_4(A,B)) & v4_relat_1(k4_scmpds_4(A,B),k4_ordinal1) & v5_relat_1(k4_scmpds_4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k4_scmpds_4(A,B)) & v1_funct_1(k4_scmpds_4(A,B)) & v1_finset_1(k4_scmpds_4(A,B)) & v1_afinsq_1(k4_scmpds_4(A,B)) & v2_scmpds_4(k4_scmpds_4(A,B)) ) ) )).
fof(fc32_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v7_ordinal1(C) ) => ~ v4_amistd_1(k9_scmring2(A,C,B),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc32_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_topalg_2)) => ( v1_funct_1(k13_toprealb(A)) & v2_funct_1(k13_toprealb(A)) & v1_funct_2(k13_toprealb(A),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(A,k2_xcmplx_0(A,1))))),u1_struct_0(k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A)))) & v2_funct_2(k13_toprealb(A),u1_struct_0(k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A)))) & v5_pre_topc(k13_toprealb(A),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(A,k2_xcmplx_0(A,1)))),k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A))) ) ) )).
fof(fc32_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(B,A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(C,A,k3_topmetr) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k18_valued_1(B,C)) & v1_funct_2(k18_valued_1(B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k18_valued_1(B,C),A,k3_topmetr) ) ) )).
fof(fc32_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_valued_0(A) ) => v2_membered(k7_relat_1(A,B)) ) )).
fof(fc32_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v1_funct_1(k13_valued_1(A,B)) & v1_finseq_1(k13_valued_1(A,B)) ) ) )).
fof(fc32_valued_2,axiom,( ! [A] : ! [B] : ( v5_membered(B) => v5_valued_2(k1_funct_2(A,B)) ) )).
fof(fc32_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ( v6_waybel_0(k6_waybel_9(A,B,C,D),B) & v7_waybel_0(k6_waybel_9(A,B,C,D)) ) ) )).
fof(fc32_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v2_xxreal_0(k7_xcmplx_0(B,A)) ) )).
fof(fc32_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k6_xxreal_3(A,B)) & ~ v2_xxreal_0(k6_xxreal_3(A,B)) ) ) )).
fof(fc33_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ( v1_relat_1(k28_abcmiz_1(A)) & v4_relat_1(k28_abcmiz_1(A),u1_struct_0(A)) & v1_funct_1(k28_abcmiz_1(A)) & v1_partfun1(k28_abcmiz_1(A),u1_struct_0(A)) & v13_abcmiz_1(k28_abcmiz_1(A),A) ) ) )).
fof(fc33_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_valued_0(A) & v1_finset_1(A) ) => v1_xreal_0(k7_afinsq_2(A)) ) )).
fof(fc33_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_amistd_1(k6_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc33_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k10_bilinear(A,B,C,D)) ) )).
fof(fc33_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v5_cayldick(A) & l1_cayldick(A) ) => ( v1_cayldick(k4_cayldick(A)) & v5_cayldick(k4_cayldick(A)) ) ) )).
fof(fc33_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v7_comput_1(A) & v8_comput_1(A,2) & v1_relat_1(B) & v1_funct_1(B) & v2_margrel1(B) & v7_comput_1(B) & v8_comput_1(B,2) ) => v3_comput_1(k10_finseq_1(A,B)) ) )).
fof(fc33_finset_1,axiom,( ! [A] : ! [B] : ( ( v5_finset_1(A) & v5_finset_1(B) ) => v5_finset_1(k2_xboole_0(A,B)) ) )).
fof(fc33_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k17_funcop_1(A,B),k1_tarski(k4_tarski(A,B)))) )).
fof(fc33_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_relat_1(k33_fomodel1(A,B)) & v5_relat_1(k33_fomodel1(A,B),k3_finseq_2(k10_xtuple_0(B))) ) ) )).
fof(fc33_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v8_ordinal1(k2_xcmplx_0(k19_fomodel1(A,k31_fomodel2(A)),2)) ) )).
fof(fc33_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v15_fomodel1(k17_fomodel0(B,C,D),A) ) )).
fof(fc33_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_fomodel4(B,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v7_fomodel4(C,A) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => v7_fomodel4(k2_xboole_0(B,C),A) ) )).
fof(fc33_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k11_gate_1(A,B,C)) ) )).
fof(fc33_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,B)) & v4_relat_1(k13_glib_000(A,k4_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,B)) & v1_finset_1(k13_glib_000(A,k4_glib_003,B)) & v2_glib_003(k13_glib_000(A,k4_glib_003,B)) ) ) )).
fof(fc33_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( ~ v1_xboole_0(k5_relat_1(C,D)) & v1_relat_1(k5_relat_1(C,D)) ) ) )).
fof(fc33_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k11_member_1(B,A)) ) )).
fof(fc33_membered,axiom,( ! [A] : ! [B] : ( v2_membered(A) => v2_membered(k3_xboole_0(A,B)) ) )).
fof(fc33_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k10_moebius2(A)) & v3_lattices(k10_moebius2(A)) ) ) )).
fof(fc33_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k18_valued_1(B,B)) & v1_funct_1(k18_valued_1(B,B)) & v4_partfun3(k18_valued_1(B,B)) ) ) )).
fof(fc33_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & m1_finseq_1(C,k4_finseq_2(A,B)) ) => ( v5_relat_1(k7_partfun1(k4_finseq_2(A,B),C,D),B) & v1_finseq_1(k7_partfun1(k4_finseq_2(A,B),C,D)) ) ) )).
fof(fc33_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v1_amistd_1(k4_xtuple_0(k7_scmfsa_2(A,B)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc33_scmring3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ~ v4_compos_0(k8_scmring2(A,B),u1_compos_1(k1_scmring2(A))) ) )).
fof(fc33_toprealb,axiom,( v1_funct_1(k14_toprealb) & v2_funct_1(k14_toprealb) & v1_funct_2(k14_toprealb,u1_struct_0(k11_toprealb(k9_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & v2_funct_2(k14_toprealb,u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & v5_pre_topc(k14_toprealb,k11_toprealb(k9_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))) )).
fof(fc33_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => v3_membered(k7_relat_1(A,B)) ) )).
fof(fc33_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v1_funct_1(k18_valued_1(A,B)) & v1_valued_0(k18_valued_1(A,B)) ) ) )).
fof(fc33_valued_2,axiom,( ! [A] : ! [B] : ( v6_membered(B) => v6_valued_2(k1_funct_2(A,B)) ) )).
fof(fc33_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ~ v2_struct_0(g1_waybel_9(A,B,C)) & v1_waybel_9(g1_waybel_9(A,B,C)) ) ) )).
fof(fc33_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v3_xxreal_0(k7_xcmplx_0(A,B)) ) )).
fof(fc33_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k6_xxreal_3(B,A)) & ~ v2_xxreal_0(k6_xxreal_3(B,A)) ) ) )).
fof(fc34_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) ) => ( v1_funct_1(k54_abcmiz_1(A,B)) & v2_funct_1(k54_abcmiz_1(A,B)) & v15_abcmiz_1(k54_abcmiz_1(A,B),A) ) ) )).
fof(fc34_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => v1_rat_1(k7_afinsq_2(A)) ) )).
fof(fc34_ami_6,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v2_amistd_2(k1_ami_3,k5_card_1(2)) )).
fof(fc34_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k11_bilinear(A,B,C,D)) ) )).
fof(fc34_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_cayldick(A) & l1_cayldick(A) ) => ( v1_cayldick(k4_cayldick(A)) & v6_cayldick(k4_cayldick(A)) ) ) )).
fof(fc34_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) & v8_comput_1(A,2) & v1_relat_1(B) & v1_funct_1(B) & v7_comput_1(B) & v8_comput_1(B,2) & v1_relat_1(C) & v1_funct_1(C) & v7_comput_1(C) & v8_comput_1(C,2) ) => ( v1_relat_1(k3_relat_1(k5_funct_6(k10_finseq_1(B,C)),A)) & v7_comput_1(k3_relat_1(k5_funct_6(k10_finseq_1(B,C)),A)) ) ) )).
fof(fc34_finset_1,axiom,( ! [A] : ( ( v1_finset_1(A) & v5_finset_1(A) ) => v1_finset_1(k3_tarski(A)) ) )).
fof(fc34_fomodel0,axiom,( ! [A] : v1_xboole_0(k5_xboole_0(k6_partfun1(k1_tarski(A)),k17_funcop_1(A,A))) )).
fof(fc34_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v15_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_relat_1(k34_fomodel1(A,B)) & v5_relat_1(k34_fomodel1(A,B),k3_finseq_2(k10_xtuple_0(B))) ) ) )).
fof(fc34_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v8_ordinal1(k6_xcmplx_0(k1_int_2(k19_fomodel1(A,k31_fomodel2(A))),2)) ) )).
fof(fc34_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v8_ordinal1(B) & v3_fomodel2(C,A,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v8_ordinal1(k29_fomodel2(A,C)) ) )).
fof(fc34_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k33_fomodel4(A),A) ) )).
fof(fc34_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k11_gate_1(A,C,B)) ) )).
fof(fc34_gaussint,axiom,( ~ v2_struct_0(k14_gaussint) & ~ v6_struct_0(k14_gaussint) & v13_algstr_0(k14_gaussint) & v33_algstr_0(k14_gaussint) & v36_algstr_0(k14_gaussint) & v2_rlvect_1(k14_gaussint) & v3_rlvect_1(k14_gaussint) & v4_rlvect_1(k14_gaussint) & v3_group_1(k14_gaussint) & v5_group_1(k14_gaussint) & v4_vectsp_1(k14_gaussint) & v5_vectsp_1(k14_gaussint) )).
fof(fc34_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),B))) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,C)) & v4_relat_1(k13_glib_000(A,k3_glib_003,C),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,C)) & v1_finset_1(k13_glib_000(A,k3_glib_003,C)) & v2_glib_003(k13_glib_000(A,k3_glib_003,C)) ) ) )).
fof(fc34_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k11_member_1(A,B)) ) )).
fof(fc34_membered,axiom,( ! [A] : ! [B] : ( v2_membered(A) => v2_membered(k3_xboole_0(B,A)) ) )).
fof(fc34_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v3_lattices(k10_moebius2(A)) & v11_lattices(k10_moebius2(A)) & v15_lattices(k10_moebius2(A)) ) ) )).
fof(fc34_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & ~ v2_xxreal_0(B) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v4_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc34_pre_poly,axiom,( ! [A] : v1_xboole_0(k13_pre_poly(k16_pre_poly(A))) )).
fof(fc34_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v1_amistd_1(k4_xtuple_0(k8_scmfsa_2(A,B)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc34_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v7_ordinal1(C) ) => ~ v4_compos_0(k9_scmring2(A,C,B),u1_compos_1(k1_scmring2(A))) ) )).
fof(fc34_toprealb,axiom,( v1_funct_1(k15_toprealb) & v2_funct_1(k15_toprealb) & v1_funct_2(k15_toprealb,u1_struct_0(k11_toprealb(k10_toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))))) & v2_funct_2(k15_toprealb,u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))))) & v5_pre_topc(k15_toprealb,k11_toprealb(k10_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2))))) )).
fof(fc34_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) => v4_membered(k7_relat_1(A,B)) ) )).
fof(fc34_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v1_funct_1(k18_valued_1(A,B)) & v3_valued_0(k18_valued_1(A,B)) ) ) )).
fof(fc34_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v7_valued_2(A) ) => v1_valued_2(k10_xtuple_0(A)) ) )).
fof(fc34_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),k1_tarski(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k1_tarski(A)))) ) => ( v13_struct_0(g1_waybel_9(k1_tarski(A),B,C),1) & v1_waybel_9(g1_waybel_9(k1_tarski(A),B,C)) ) ) )).
fof(fc34_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v3_xxreal_0(k7_xcmplx_0(A,B)) ) )).
fof(fc34_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k6_xxreal_3(A,B)) & ~ v3_xxreal_0(k6_xxreal_3(A,B)) ) ) )).
fof(fc35_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) ) => ( v1_xboole_0(k54_abcmiz_1(A,B)) & v1_funct_1(k54_abcmiz_1(A,B)) ) ) )).
fof(fc35_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => v1_int_1(k7_afinsq_2(A)) ) )).
fof(fc35_ami_6,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v4_amistd_2(k1_ami_3,k5_card_1(2)) )).
fof(fc35_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v3_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k11_bilinear(A,B,C,D)) ) )).
fof(fc35_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l1_cayldick(A) ) => ( v2_vectsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc35_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) & v8_comput_1(A,2) & v1_relat_1(B) & v1_funct_1(B) & v7_comput_1(B) & v8_comput_1(B,2) & v1_relat_1(C) & v1_funct_1(C) & v7_comput_1(C) & v8_comput_1(C,2) ) => ( v1_relat_1(k3_relat_1(k5_funct_6(k10_finseq_1(B,C)),A)) & v8_comput_1(k3_relat_1(k5_funct_6(k10_finseq_1(B,C)),A),2) ) ) )).
fof(fc35_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) ) => v1_finset_1(k1_funct_1(A,B)) ) )).
fof(fc35_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v1_finseq_1(k6_funct_4(A,B,C)) ) )).
fof(fc35_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k4_ordinal1) ) => v1_setfam_1(k1_funct_1(k39_fomodel1(A),B)) ) )).
fof(fc35_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ~ v1_xboole_0(k27_fomodel2(A,B)) ) )).
fof(fc35_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v7_ordinal1(C) ) => v3_fomodel2(k13_fomodel0(C,B),A,k2_xcmplx_0(k29_fomodel2(A,B),C)) ) )).
fof(fc35_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k35_fomodel4(A),A) ) )).
fof(fc35_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k11_gate_1(C,A,B)) ) )).
fof(fc35_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => ( ~ v3_xxreal_0(k16_gaussint(A)) & v1_rat_1(k16_gaussint(A)) ) ) )).
fof(fc35_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B)) & v4_relat_1(k13_glib_000(A,k3_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,B)) & v1_finset_1(k13_glib_000(A,k3_glib_003,B)) & v2_glib_003(k13_glib_000(A,k3_glib_003,B)) ) ) )).
fof(fc35_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v2_hermitan(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k7_hermitan(A,B,C)) & v1_funct_2(k7_hermitan(A,B,C),k2_zfmisc_1(u1_struct_0(k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C))),u1_struct_0(k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C))))),u1_struct_0(k1_complfld)) & v1_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v4_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & ~ v5_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & ~ v6_bilinear(k7_hermitan(A,B,C),k1_complfld,k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) & v2_hermitan(k7_hermitan(A,B,C),k6_vectsp10(k1_complfld,A,k13_bilinear(k1_complfld,A,B,C)),k6_vectsp10(k1_complfld,B,k14_bilinear(k1_complfld,A,B,k3_hermitan(A,B,C)))) ) ) )).
fof(fc35_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => v1_membered(k11_member_1(A,B)) ) )).
fof(fc35_membered,axiom,( ! [A] : ! [B] : ( v3_membered(A) => v3_membered(k3_xboole_0(A,B)) ) )).
fof(fc35_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & ~ v1_moebius1(A) ) => ( v3_lattices(k10_moebius2(A)) & v17_lattices(k10_moebius2(A)) ) ) )).
fof(fc35_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & ~ v3_xxreal_0(B) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v4_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc35_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v1_amistd_1(k4_xtuple_0(k9_scmfsa_2(A,B)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc35_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & v2_amistd_2(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc35_toprealb,axiom,( ! [A] : ( v1_int_1(A) => ( v1_funct_1(k13_toprealb(k4_toprealb(A))) & v1_funct_2(k13_toprealb(k4_toprealb(A)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k4_toprealb(A),k2_xcmplx_0(k4_toprealb(A),1))))),u1_struct_0(k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k4_toprealb(A))))) & v1_t_0topsp(k13_toprealb(k4_toprealb(A)),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k4_toprealb(A),k2_xcmplx_0(k4_toprealb(A),1)))),k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k4_toprealb(A)))) ) ) )).
fof(fc35_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(C,B,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(D,B,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k78_valued_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),C,D)) & v1_funct_2(k78_valued_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),C,D),u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(k78_valued_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),C,D),B,k15_euclid(A)) ) ) )).
fof(fc35_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) => v5_membered(k7_relat_1(A,B)) ) )).
fof(fc35_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v5_relat_1(k18_valued_1(A,B),k3_numbers) & v1_funct_1(k18_valued_1(A,B)) ) ) )).
fof(fc35_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v8_valued_2(A) ) => v2_valued_2(k10_xtuple_0(A)) ) )).
fof(fc35_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_0(A,B)) & v1_xreal_0(k3_xxreal_0(A,B)) ) ) )).
fof(fc35_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k6_xxreal_3(A,B)) & ~ v3_xxreal_0(k6_xxreal_3(A,B)) ) ) )).
fof(fc36_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => v14_abcmiz_1(k55_abcmiz_1(A,B),A,k28_abcmiz_1(A)) ) )).
fof(fc36_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v4_valued_0(A) & v1_finset_1(A) ) => v7_ordinal1(k7_afinsq_2(A)) ) )).
fof(fc36_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v1_bilinear(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k12_bilinear(A,B,C)) ) )).
fof(fc36_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v4_cayldick(A) & l1_cayldick(A) ) => ( v1_vectsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc36_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) & v8_comput_1(A,1) & v1_relat_1(B) & v1_funct_1(B) & v7_comput_1(B) ) => ( v1_relat_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)),A)) & v7_comput_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)),A)) ) ) )).
fof(fc36_finset_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_finset_1(A) ) => v5_finset_1(k10_xtuple_0(A)) ) )).
fof(fc36_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(C) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,C) & v1_finseq_1(D) ) => ( v1_relat_1(k17_fomodel0(A,B,D)) & v1_funct_1(k17_fomodel0(A,B,D)) & v3_card_1(k17_fomodel0(A,B,D),C) & v1_finseq_1(k17_fomodel0(A,B,D)) ) ) )).
fof(fc36_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v14_fomodel1(k13_fomodel0(B,C),k2_xcmplx_0(k38_fomodel1(A,C),B),A) ) )).
fof(fc36_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ~ v1_xboole_0(k28_fomodel2(A,B)) ) )).
fof(fc36_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & v3_fomodel2(C,A,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v1_xxreal_0(k6_xcmplx_0(B,k29_fomodel2(A,C))) & ~ v3_xxreal_0(k6_xcmplx_0(B,k29_fomodel2(A,C))) ) ) )).
fof(fc36_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k34_fomodel4(A),A) ) )).
fof(fc36_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) ) => v1_xboole_0(k11_gate_1(A,B,C)) ) )).
fof(fc36_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ( v7_ordinal1(k16_gaussint(A)) & v1_rat_1(k16_gaussint(A)) ) ) )).
fof(fc36_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k2_glib_003,B)) & v4_relat_1(k13_glib_000(A,k2_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k2_glib_003,B)) & v1_finset_1(k13_glib_000(A,k2_glib_003,B)) & v3_glib_003(k13_glib_000(A,k2_glib_003,B)) ) ) )).
fof(fc36_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v3_membered(B) ) => v3_membered(k11_member_1(A,B)) ) )).
fof(fc36_membered,axiom,( ! [A] : ! [B] : ( v3_membered(A) => v3_membered(k3_xboole_0(B,A)) ) )).
fof(fc36_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & ~ v2_xxreal_0(B) & v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v3_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc36_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v1_amistd_1(k4_xtuple_0(k10_scmfsa_2(A,B)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc36_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & v4_amistd_2(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc36_toprealb,axiom,( ! [A] : ( v1_int_1(A) => ( v1_funct_1(k13_toprealb(k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A)))) & v1_funct_2(k13_toprealb(k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A)),k2_xcmplx_0(k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A)),1))))),u1_struct_0(k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A)))))) & v1_t_0topsp(k13_toprealb(k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A))),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A)),k2_xcmplx_0(k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A)),1)))),k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k4_toprealb(k2_xcmplx_0(k7_xcmplx_0(1,2),A))))) ) ) )).
fof(fc36_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => v6_membered(k7_relat_1(A,B)) ) )).
fof(fc36_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v5_relat_1(k18_valued_1(A,B),k4_numbers) & v1_funct_1(k18_valued_1(A,B)) ) ) )).
fof(fc36_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v9_valued_2(A) ) => v3_valued_2(k10_xtuple_0(A)) ) )).
fof(fc36_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_0(A,B)) & v1_xreal_0(k4_xxreal_0(A,B)) ) ) )).
fof(fc36_xxreal_3,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_xxreal_0(A) & ~ v8_ordinal1(B) & v1_xxreal_0(B) ) => ( ~ v8_ordinal1(k4_xxreal_3(A,B)) & v1_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc37_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v6_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => v6_abcmiz_1(k56_abcmiz_1(A,B,C),A) ) )).
fof(fc37_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & ~ v1_xboole_0(k1_ordinal4(A,B)) & v5_ordinal1(k1_ordinal4(A,B)) ) ) )).
fof(fc37_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v2_bilinear(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k12_bilinear(A,B,C)) ) )).
fof(fc37_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_cayldick(A) ) => ( v2_normsp_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc37_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) & v8_comput_1(A,1) & v1_relat_1(B) & v1_funct_1(B) & v7_comput_1(B) & v8_comput_1(B,2) ) => ( v1_relat_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)),A)) & v8_comput_1(k3_relat_1(k5_funct_6(k9_finseq_1(B)),A),2) ) ) )).
fof(fc37_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) & v1_finseq_1(D) ) => ( v1_relat_1(k17_fomodel0(A,C,D)) & v5_relat_1(k17_fomodel0(A,C,D),B) & v1_funct_1(k17_fomodel0(A,C,D)) & v1_finseq_1(k17_fomodel0(A,C,D)) ) ) )).
fof(fc37_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v1_xboole_0(k4_xboole_0(k35_fomodel1(A),k3_finseq_2(k5_fomodel1(A)))) ) )).
fof(fc37_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v5_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel1(k1_funct_1(k22_fomodel1(A),B),A) ) )).
fof(fc37_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v7_ordinal1(D) & v3_fomodel2(E,A,D) & m1_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v3_fomodel2(k17_fomodel0(B,C,E),A,D) ) )).
fof(fc37_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v13_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k31_fomodel2(A)),B),C),k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k31_fomodel2(A)),C),D)),k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k31_fomodel2(A)),B),D)),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k27_fomodel4(A)),k1_xboole_0) ) )).
fof(fc37_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) ) => v1_xboole_0(k11_gate_1(A,C,B)) ) )).
fof(fc37_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B)) & v4_relat_1(k13_glib_000(A,k3_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,B)) & v1_finset_1(k13_glib_000(A,k3_glib_003,B)) & v3_glib_003(k13_glib_000(A,k3_glib_003,B)) ) ) )).
fof(fc37_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v4_membered(B) ) => v4_membered(k11_member_1(A,B)) ) )).
fof(fc37_membered,axiom,( ! [A] : ! [B] : ( v4_membered(A) => v4_membered(k3_xboole_0(A,B)) ) )).
fof(fc37_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & ~ v3_xxreal_0(B) & v1_funct_1(C) & v3_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v3_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc37_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => ~ v1_amistd_1(k4_xtuple_0(k14_scmfsa_2(B,A,C)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc37_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_valued_0(A) ) => v1_membered(k9_relat_1(A,B)) ) )).
fof(fc37_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v4_valued_0(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v1_funct_1(k18_valued_1(A,B)) & v4_valued_0(k18_valued_1(A,B)) ) ) )).
fof(fc37_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v10_valued_2(A) ) => v4_valued_2(k10_xtuple_0(A)) ) )).
fof(fc37_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k1_xreal_0(A,B)) ) )).
fof(fc37_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v8_ordinal1(A) & v1_xxreal_0(A) & v1_xxreal_0(B) ) => ( v8_ordinal1(k4_xxreal_3(A,B)) & v1_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc38_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v7_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => v7_abcmiz_1(k56_abcmiz_1(A,B,C),A) ) )).
fof(fc38_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( v1_relat_1(k1_ordinal4(B,A)) & v1_funct_1(k1_ordinal4(B,A)) & ~ v1_xboole_0(k1_ordinal4(B,A)) & v5_ordinal1(k1_ordinal4(B,A)) ) ) )).
fof(fc38_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v3_bilinear(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k12_bilinear(A,B,C)) ) )).
fof(fc38_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & l1_cayldick(A) ) => ( v5_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc38_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => ( v1_relat_1(k20_fomodel0(A,B,C)) & v1_funct_1(k20_fomodel0(A,B,C)) & v1_pre_poly(k20_fomodel0(A,B,C)) ) ) )).
fof(fc38_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v15_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v5_relat_1(k34_fomodel1(A,B),k3_finseq_2(k5_fomodel1(A))) & v3_card_1(k34_fomodel1(A,B),k1_int_2(k19_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)))) ) ) )).
fof(fc38_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ~ v5_fomodel2(k7_finseq_1(k43_fomodel1(A,C),B),A) ) )).
fof(fc38_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel2(k17_fomodel0(B,C,D),A) ) )).
fof(fc38_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v3_fomodel4(C,A) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k2_xboole_0(B,C),D),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k25_fomodel4(A)),k1_tarski(k4_tarski(B,D))) ) )).
fof(fc38_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_xboole_0(B) ) => v1_xboole_0(k11_gate_1(C,A,B)) ) )).
fof(fc38_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A),B))) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,C)) & v4_relat_1(k13_glib_000(A,k4_glib_003,C),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,C)) & v1_finset_1(k13_glib_000(A,k4_glib_003,C)) & v3_glib_003(k13_glib_000(A,k4_glib_003,C)) ) ) )).
fof(fc38_member_1,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v5_membered(B) ) => v5_membered(k11_member_1(A,B)) ) )).
fof(fc38_membered,axiom,( ! [A] : ! [B] : ( v4_membered(A) => v4_membered(k3_xboole_0(B,A)) ) )).
fof(fc38_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) & v1_funct_1(C) & v2_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v2_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc38_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => ~ v1_amistd_1(k4_xtuple_0(k15_scmfsa_2(B,A,C)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc38_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_valued_0(A) ) => v2_membered(k9_relat_1(A,B)) ) )).
fof(fc38_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & ~ v1_xboole_0(C) & v1_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k18_valued_1(D,E)) & v1_partfun1(k18_valued_1(D,E),A) ) ) )).
fof(fc38_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v11_valued_2(A) ) => v5_valued_2(k10_xtuple_0(A)) ) )).
fof(fc38_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ~ v3_xxreal_0(k1_xreal_0(A,B)) & v1_xreal_0(k1_xreal_0(A,B)) ) ) )).
fof(fc38_xxreal_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_xxreal_0(k5_xxreal_3(A)) & v1_xreal_0(k5_xxreal_3(A)) ) ) )).
fof(fc39_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v9_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k12_abcmiz_1(A)) ) => v9_abcmiz_1(k56_abcmiz_1(A,B,C),A) ) )).
fof(fc39_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v4_bilinear(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ~ v1_xboole_0(k12_bilinear(A,B,C)) ) )).
fof(fc39_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_funcsdom(A) & v4_lopban_2(A) & l1_cayldick(A) ) => ( v2_funcsdom(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc39_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) ) => v1_finseq_1(k1_funct_1(A,B)) ) )).
fof(fc39_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k9_fomodel1(A)) ) )).
fof(fc39_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v4_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => ~ v5_fomodel2(k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,D),B),C),A) ) )).
fof(fc39_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_xboole_0(k5_xboole_0(k29_fomodel2(A,k24_fomodel3(A,B,C,D)),k29_fomodel2(A,D))) ) )).
fof(fc39_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k2_xboole_0(B,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),C)),C),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k1_xboole_0) ) )).
fof(fc39_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k6_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k6_glib_000(A)) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,B)) & v4_relat_1(k13_glib_000(A,k4_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,B)) & v1_finset_1(k13_glib_000(A,k4_glib_003,B)) & v3_glib_003(k13_glib_000(A,k4_glib_003,B)) ) ) )).
fof(fc39_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k12_member_1(A,B)) ) )).
fof(fc39_membered,axiom,( ! [A] : ! [B] : ( v5_membered(A) => v5_membered(k3_xboole_0(A,B)) ) )).
fof(fc39_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v3_xxreal_0(B) & v1_funct_1(C) & v1_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v2_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc39_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v5_waybel_3(B) & v16_pcs_0(B) ) => ( v3_orders_2(k17_pcs_0(A,B)) & v12_pcs_0(k17_pcs_0(A,B)) ) ) )).
fof(fc39_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => ~ v2_amistd_1(k14_scmfsa_2(B,A,C),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc39_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(C,B,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k3_topmetr)) & v5_pre_topc(D,B,k3_topmetr) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k62_valued_2(u1_struct_0(k15_euclid(A)),C,D)) & v1_funct_2(k62_valued_2(u1_struct_0(k15_euclid(A)),C,D),u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(k62_valued_2(u1_struct_0(k15_euclid(A)),C,D),B,k15_euclid(A)) ) ) )).
fof(fc39_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => v3_membered(k9_relat_1(A,B)) ) )).
fof(fc39_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & ~ v1_xboole_0(C) & v3_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k18_valued_1(D,E)) & v1_partfun1(k18_valued_1(D,E),A) ) ) )).
fof(fc39_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v12_valued_2(A) ) => v6_valued_2(k10_xtuple_0(A)) ) )).
fof(fc39_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_xxreal_0(k4_xxreal_3(A,B)) & v1_xreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc3_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(E) & v1_funct_2(E,A,k5_finsub_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => ( ~ v2_struct_0(g2_abcmiz_0(A,B,C,D,E)) & v7_abcmiz_0(g2_abcmiz_0(A,B,C,D,E)) ) ) )).
fof(fc3_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_abcmiz_1) => v1_finset_1(k1_xtuple_0(A)) ) )).
fof(fc3_abian,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v1_abian(A) ) => v1_abian(k2_xcmplx_0(A,1)) ) )).
fof(fc3_absred_0,axiom,( ~ v2_struct_0(k2_absred_0) & v1_absred_0(k2_absred_0) )).
fof(fc3_afinsq_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => ( v5_ordinal1(k2_funcop_1(k5_card_1(A),B)) & v1_finset_1(k2_funcop_1(k5_card_1(A),B)) ) ) )).
fof(fc3_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v8_algstr_0(k5_afvect0(A,B)) & v1_tdgroup(k5_afvect0(A,B)) ) ) )).
fof(fc3_algstr_1,axiom,( ~ v2_struct_0(k8_algstr_0) )).
fof(fc3_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => v15_algstr_0(k4_algstr_4(A,B)) ) )).
fof(fc3_altcat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ( v1_relat_1(k2_funct_4(B)) & v4_relat_1(k2_funct_4(B),k2_zfmisc_1(A,A)) & v1_funct_1(k2_funct_4(B)) ) ) )).
fof(fc3_altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v3_altcat_3(C,A,B,B) & m1_subset_1(C,k1_altcat_1(A,B,B)) & v3_altcat_3(D,A,B,B) & m1_subset_1(D,k1_altcat_1(A,B,B)) ) => v3_altcat_3(k5_altcat_1(A,B,B,B,D,C),A,B,B) ) )).
fof(fc3_altcat_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v3_altcat_3(k8_altcat_1(A,B),A,B,B) ) )).
fof(fc3_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_altcat_5(A) & l1_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v4_funct_1(k1_altcat_1(A,B,C)) ) )).
fof(fc3_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( v1_relat_1(k3_altcat_6(A,B,C)) & v4_relat_1(k3_altcat_6(A,B,C),A) & v1_funct_1(k3_altcat_6(A,B,C)) & v1_partfun1(k3_altcat_6(A,B,C),A) & v1_funcop_1(k3_altcat_6(A,B,C)) ) ) )).
fof(fc3_ami_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) & m1_subset_1(B,k2_ami_2) ) => v1_int_1(k1_funct_1(A,B)) ) )).
fof(fc3_ami_3,axiom,( v2_memstr_0(k1_ami_3,k5_card_1(2)) & v1_extpro_1(k1_ami_3,k5_card_1(2)) )).
fof(fc3_ami_5,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v4_amistd_5(k1_ami_3,k5_card_1(2)) )).
fof(fc3_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_amistd_1(k3_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc3_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( ~ v2_struct_0(k4_amistd_1(A)) & v8_struct_0(k4_amistd_1(A)) & v1_extpro_1(k4_amistd_1(A),A) ) ) )).
fof(fc3_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v2_amistd_4(B,A) & l1_extpro_1(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ~ v1_zfmisc_1(k4_memstr_0(A,B,C)) ) )).
fof(fc3_amistd_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(A,k4_amistd_1(A))) ) => ( v1_relat_1(k6_memstr_0(A,k4_amistd_1(A),B)) & v4_relat_1(k6_memstr_0(A,k4_amistd_1(A),B),u1_struct_0(k4_amistd_1(A))) & v1_funct_1(k6_memstr_0(A,k4_amistd_1(A),B)) & v5_funct_1(k6_memstr_0(A,k4_amistd_1(A),B),k2_memstr_0(A,k4_amistd_1(A))) & v1_xboole_0(k6_memstr_0(A,k4_amistd_1(A),B)) ) ) )).
fof(fc3_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) ) => ( ~ v7_struct_0(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_analoaf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_diraf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(fc3_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) & l1_rlvect_1(A) ) => ( v1_collsp(k5_anproj_1(A)) & v4_collsp(k5_anproj_1(A)) ) ) )).
fof(fc3_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k2_funcop_1(k4_finseq_2(C,A),B)) & v1_funct_1(k2_funcop_1(k4_finseq_2(C,A),B)) & v2_margrel1(k2_funcop_1(k4_finseq_2(C,A),B)) & v3_margrel1(k2_funcop_1(k4_finseq_2(C,A),B),A) ) ) )).
fof(fc3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( v1_relat_1(k4_aofa_a00(A,B,C,D,E,F)) & v1_funct_1(k4_aofa_a00(A,B,C,D,E,F)) & v3_card_1(k4_aofa_a00(A,B,C,D,E,F),6) & v1_finseq_1(k4_aofa_a00(A,B,C,D,E,F)) ) )).
fof(fc3_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( v2_relat_1(k1_aofa_a01(A,B,C)) & v2_aofa_a01(k1_aofa_a01(A,B,C),A,B,C) ) ) )).
fof(fc3_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m2_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => v15_aofa_000(k44_aofa_i00(A,B,C,D,E,F),A) ) )).
fof(fc3_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_funct_4(B,A)) & v1_funct_1(k1_funct_4(B,A)) & v1_aofa_l00(k1_funct_4(B,A),A) ) ) )).
fof(fc3_armstrng,axiom,( ! [A] : ~ v1_xboole_0(k7_armstrng(A)) )).
fof(fc3_arytm_3,axiom,( ~ v1_xboole_0(k5_arytm_3) )).
fof(fc3_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k3_asympt_1(A)) & v1_funct_2(k3_asympt_1(A),k4_ordinal1,k1_numbers) & v4_asympt_0(k3_asympt_1(A)) ) ) )).
fof(fc3_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => v2_msualg_3(k2_msualg_3(A,B),A,B,B) ) )).
fof(fc3_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v2_pre_poly(D) ) => ( v1_relat_1(k1_bagorder(A,B,C,D)) & v4_relat_1(k1_bagorder(A,B,C,D),k7_nat_d(C,B)) & v1_funct_1(k1_bagorder(A,B,C,D)) & v1_partfun1(k1_bagorder(A,B,C,D),k7_nat_d(C,B)) & v2_pre_poly(k1_bagorder(A,B,C,D)) ) ) )).
fof(fc3_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_2(B,A) ) => ~ v1_xboole_0(k7_eqrel_1(u1_struct_0(A),B)) ) )).
fof(fc3_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ( v1_funct_1(u1_bcialg_4(A)) & v1_funct_2(u1_bcialg_4(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_bcialg_4(A),u1_struct_0(A)) & v2_binop_1(u1_bcialg_4(A),u1_struct_0(A)) ) ) )).
fof(fc3_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) & m4_bcialg_2(C,A,B) ) => ( v2_bcialg_1(k9_bcialg_2(A,C)) & v3_bcialg_1(k9_bcialg_2(A,C)) & v4_bcialg_1(k9_bcialg_2(A,C)) & v5_bcialg_1(k9_bcialg_2(A,C)) & v7_bcialg_1(k9_bcialg_2(A,C)) ) ) )).
fof(fc3_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k4_normsp_1(A,C,B)) & v1_funct_2(k4_normsp_1(A,C,B),k4_ordinal1,u1_struct_0(A)) & v1_bhsp_3(k4_normsp_1(A,C,B),A) ) ) )).
fof(fc3_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ( v1_funct_1(k1_bilinear(A,B,C)) & v1_funct_2(k1_bilinear(A,B,C),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v3_bilinear(k1_bilinear(A,B,C),A,B,C) ) ) )).
fof(fc3_binop_2,axiom,( v1_funct_1(k9_binop_2) & v1_funct_2(k9_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_binop_1(k9_binop_2,k1_numbers) & v2_binop_1(k9_binop_2,k1_numbers) )).
fof(fc3_bintree1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) & v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finset_1(D) & v3_trees_2(D) & v2_bintree1(D) ) => ( v1_relat_1(k6_trees_4(B,C,D)) & v5_relat_1(k6_trees_4(B,C,D),A) & v1_funct_1(k6_trees_4(B,C,D)) & v1_finset_1(k6_trees_4(B,C,D)) & v3_trees_2(k6_trees_4(B,C,D)) & v2_bintree1(k6_trees_4(B,C,D)) ) ) )).
fof(fc3_bintree2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v2_funct_1(k2_bintree2(A,B)) ) )).
fof(fc3_borsuk_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_struct_0(k2_borsuk_1(A,B)) & v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) ) ) )).
fof(fc3_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & v3_funct_1(C) & m1_borsuk_2(C,A,B,B) ) => v3_funct_1(k2_borsuk_2(A,B,B,C)) ) )).
fof(fc3_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_pre_topc(k2_borsuk_1(B,k1_pre_topc(A,k6_domain_1(u1_struct_0(A),C)))) & v2_pre_topc(k2_borsuk_1(B,k1_pre_topc(A,k6_domain_1(u1_struct_0(A),C)))) & v1_compts_1(k2_borsuk_1(B,k1_pre_topc(A,k6_domain_1(u1_struct_0(A),C)))) ) ) )).
fof(fc3_borsuk_5,axiom,( ~ v1_xboole_0(k1_borsuk_5) )).
fof(fc3_borsuk_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & m1_pre_topc(A,k2_borsuk_1(k5_topmetr,k5_topmetr)) & m1_subset_1(B,u1_struct_0(A)) ) => v1_xreal_0(k1_xtuple_0(B)) ) )).
fof(fc3_borsuk_7,axiom,( v1_borsuk_7(k1_xboole_0) )).
fof(fc3_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ~ v2_struct_0(k2_brouwer(A,B,C)) ) )).
fof(fc3_bspace,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k8_bspace(A)) ) )).
fof(fc3_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ( v1_relat_1(k8_bvfunc_1(A,B)) & v1_funct_1(k8_bvfunc_1(A,B)) & v1_margrel1(k8_bvfunc_1(A,B)) ) ) )).
fof(fc3_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k6_c0sp1(A)) & v3_c0sp1(k6_c0sp1(A),k12_funcsdom(A)) & v4_c0sp1(k6_c0sp1(A),k12_funcsdom(A)) ) ) )).
fof(fc3_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_c0sp1(k2_c0sp2(A),k12_funcsdom(u1_struct_0(A))) & v4_c0sp1(k2_c0sp2(A),k12_funcsdom(u1_struct_0(A))) ) ) )).
fof(fc3_cantor_1,axiom,( ! [A] : ( l1_pre_topc(A) => v2_cantor_1(u1_pre_topc(A),A) ) )).
fof(fc3_card_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A)) ) ) )).
fof(fc3_card_3,axiom,( ! [A] : ! [B] : ( v1_card_1(B) => v1_card_3(k17_funcop_1(A,B)) ) )).
fof(fc3_card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v1_card_1(B) ) => ( ~ v1_finset_1(k1_card_2(A,B)) & v1_card_1(k1_card_2(A,B)) ) ) )).
fof(fc3_card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) ) => ( ~ v1_finset_1(k6_card_fil(A)) & v1_card_1(k6_card_fil(A)) ) ) )).
fof(fc3_card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_yellow20(A,B)) & v1_funct_1(k1_yellow20(A,B)) & v2_finset_1(k1_yellow20(A,B)) ) ) )).
fof(fc3_cardfin2,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k2_cardfin2(A)) ) )).
fof(fc3_cat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k2_cat_1(A,B,B)) ) )).
fof(fc3_cat_4,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k23_cat_4(A,B)) & v7_struct_0(k23_cat_4(A,B)) & ~ v11_struct_0(k23_cat_4(A,B)) & v15_struct_0(k23_cat_4(A,B)) & v5_cat_4(k23_cat_4(A,B)) ) )).
fof(fc3_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( ~ v2_struct_0(k19_cat_6(A)) & v1_cat_6(k19_cat_6(A)) & v8_cat_6(k19_cat_6(A)) & v9_cat_6(k19_cat_6(A)) & v10_cat_6(k19_cat_6(A)) ) ) )).
fof(fc3_cat_7,axiom,( ! [A] : ( ( v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => v1_xboole_0(k6_cat_6(A)) ) )).
fof(fc3_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k2_catalg_1(A)) & ~ v11_struct_0(k2_catalg_1(A)) & v1_msualg_1(k2_catalg_1(A)) ) ) )).
fof(fc3_cayldick,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v2_relat_1(k3_afinsq_1(A)) ) )).
fof(fc3_cayley,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k1_cayley(A)) ) )).
fof(fc3_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k3_cc0sp1(A)) & v13_algstr_0(k3_cc0sp1(A)) & v2_rlvect_1(k3_cc0sp1(A)) & v3_rlvect_1(k3_cc0sp1(A)) & v4_rlvect_1(k3_cc0sp1(A)) & v1_vectsp_1(k3_cc0sp1(A)) & v3_vectsp_1(k3_cc0sp1(A)) & v3_group_1(k3_cc0sp1(A)) & v5_group_1(k3_cc0sp1(A)) & v2_clvect_1(k3_cc0sp1(A)) & v3_clvect_1(k3_cc0sp1(A)) & v4_clvect_1(k3_cc0sp1(A)) & v5_clvect_1(k3_cc0sp1(A)) & v2_cfuncdom(k3_cc0sp1(A)) ) ) )).
fof(fc3_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_c0sp1(k2_cc0sp2(A),k8_cfuncdom(u1_struct_0(A))) & v1_cc0sp1(k2_cc0sp2(A),k8_cfuncdom(u1_struct_0(A))) ) ) )).
fof(fc3_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v3_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v3_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k1_valued_1(A,B)) & v1_partfun1(k1_valued_1(A,B),k2_numbers) & v3_cfdiff_1(k1_valued_1(A,B)) ) ) )).
fof(fc3_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k3_cfuncdom(A)) & v1_funct_2(k3_cfuncdom(A),k2_zfmisc_1(k2_numbers,k9_funct_2(A,k2_numbers)),k9_funct_2(A,k2_numbers)) & v7_valued_2(k3_cfuncdom(A)) ) ) )).
fof(fc3_cgames_1,axiom,( v1_xboole_0(k6_cgames_1(k3_cgames_1)) )).
fof(fc3_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(B,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,A),A))) ) => ( v3_msualg_1(k7_circcomb(B,A,D,C),k5_circcomb(D,C)) & v4_msualg_1(k7_circcomb(B,A,D,C),k5_circcomb(D,C)) & v5_circcmb3(k7_circcomb(B,A,D,C),k5_circcomb(D,C)) ) ) )).
fof(fc3_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_msaterm(C,A,B) & m1_subset_1(D,u4_struct_0(k1_circtrm1(A,B,C))) ) => v6_trees_3(k1_msualg_1(k1_circtrm1(A,B,C),D)) ) )).
fof(fc3_classes1,axiom,( ! [A] : v1_ordinal1(k5_classes1(A)) )).
fof(fc3_classes2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => v1_classes2(k1_classes1(A)) ) )).
fof(fc3_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v1_xboole_0(k5_clopban1(A,B)) & v4_funct_1(k5_clopban1(A,B)) ) ) )).
fof(fc3_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( v13_algstr_0(k7_clopban2(A)) & v2_rlvect_1(k7_clopban2(A)) & v3_rlvect_1(k7_clopban2(A)) & v4_rlvect_1(k7_clopban2(A)) & v4_vectsp_1(k7_clopban2(A)) & v5_vectsp_1(k7_clopban2(A)) & v3_group_1(k7_clopban2(A)) ) ) )).
fof(fc3_clopban3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_clopban3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_clopban3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_normsp_1(A,B,C)) & v1_funct_2(k2_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_clopban3(k2_normsp_1(A,B,C),A) ) ) )).
fof(fc3_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => ( v1_relat_1(k4_closure2(A,B,C)) & v3_relat_1(k4_closure2(A,B,C)) & v4_relat_1(k4_closure2(A,B,C),A) & v1_funct_1(k4_closure2(A,B,C)) & v1_partfun1(k4_closure2(A,B,C),A) ) ) )).
fof(fc3_coh_sp,axiom,( ! [A] : ~ v1_xboole_0(k5_coh_sp(A)) )).
fof(fc3_cohsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(k1_cohsp_1(A)) & v1_classes1(k1_cohsp_1(A)) & v1_coh_sp(k1_cohsp_1(A)) ) )).
fof(fc3_compact1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v9_pre_topc(A) & v5_compact1(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v5_compact1(k1_pre_topc(A,B)) ) ) )).
fof(fc3_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_metric_1(k3_compl_sp(A,B,C)) & v6_metric_1(k3_compl_sp(A,B,C)) ) ) )).
fof(fc3_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => v8_ordinal1(k2_complex1(A)) ) )).
fof(fc3_complfld,axiom,( v36_algstr_0(k1_complfld) & v4_vectsp_1(k1_complfld) )).
fof(fc3_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc3_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k5_compos_1(A,B,C)) & v4_relat_1(k5_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k5_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k5_compos_1(A,B,C)) & v1_finset_1(k5_compos_1(A,B,C)) ) ) )).
fof(fc3_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ( v1_relat_1(k4_compos_1(A)) & v4_relat_1(k4_compos_1(A),k4_ordinal1) & v5_relat_1(k4_compos_1(A),u1_compos_1(A)) & v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A)) & v1_compos_2(k4_compos_1(A),A) ) ) )).
fof(fc3_compts_1,axiom,( ! [A] : v8_pre_topc(k1_compts_1(k1_tarski(A))) )).
fof(fc3_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v2_margrel1(k3_relat_1(A,B)) ) ) )).
fof(fc3_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k1_comseq_2(A)) & v1_funct_2(k1_comseq_2(A),k4_ordinal1,k2_numbers) & v2_comseq_2(k1_comseq_2(A)) ) ) )).
fof(fc3_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k2_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A))) & v1_funct_2(k2_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k4_ordinal1,k1_numbers) & v7_valued_0(k2_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A))) ) ) )).
fof(fc3_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ~ v1_xboole_0(k7_conlat_1(A)) ) )).
fof(fc3_conlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => ( v3_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) & ~ v4_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) & v6_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) ) ) )).
fof(fc3_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ~ v1_xboole_0(k10_convex4(A)) ) )).
fof(fc3_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v3_rlvect_1(B) & l1_rlvect_1(B) ) => v3_rlvect_1(k3_convfun1(A,B)) ) )).
fof(fc3_csspace,axiom,( v6_clvect_1(k9_csspace,k5_csspace) )).
fof(fc3_csspace3,axiom,( v13_algstr_0(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v2_rlvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v3_rlvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v4_rlvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v1_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v2_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v3_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v4_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v5_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) )).
fof(fc3_csspace4,axiom,( v13_algstr_0(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v2_rlvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v3_rlvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v4_rlvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v1_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v2_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v3_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v4_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v5_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) )).
fof(fc3_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & v2_dblseq_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_funct_1(k2_dblseq_1(A)) & v1_funct_2(k2_dblseq_1(A),k4_ordinal1,k1_numbers) & v2_comseq_2(k2_dblseq_1(A)) ) ) )).
fof(fc3_descip_1,axiom,( v1_funct_1(k27_descip_1) & v1_funct_2(k27_descip_1,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) & v3_funct_2(k27_descip_1,k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1)) )).
fof(fc3_dickson,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k5_dickson(A)) & v4_orders_2(k5_dickson(A)) ) ) )).
fof(fc3_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k5_diff_1(A,B)) & v1_funct_2(k5_diff_1(A,B),k1_numbers,k1_numbers) ) ) )).
fof(fc3_dilworth,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_orders_2(A) ) => ( v1_xboole_0(k2_dilworth(A)) & v7_ordinal1(k2_dilworth(A)) ) ) )).
fof(fc3_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ( v1_funct_1(k7_dist_1(A)) & v2_funct_1(k7_dist_1(A)) & v1_funct_2(k7_dist_1(A),k6_dist_1(A),k3_finseq_2(k1_numbers)) ) ) )).
fof(fc3_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_dtconstr(A) & l1_lang1(A) ) => ~ v1_xboole_0(k4_dtconstr(A)) ) )).
fof(fc3_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v1_xboole_0(k7_dualsp01(A)) & v4_funct_1(k7_dualsp01(A)) ) ) )).
fof(fc3_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ~ v2_struct_0(k1_uniroots(k9_int_3(A))) & v15_algstr_0(k1_uniroots(k9_int_3(A))) & v2_group_1(k1_uniroots(k9_int_3(A))) & v3_group_1(k1_uniroots(k9_int_3(A))) & v1_gr_cy_1(k1_uniroots(k9_int_3(A))) ) ) )).
fof(fc3_endalg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k6_endalg(A,B)) & v22_algstr_0(k6_endalg(A,B)) ) ) )).
fof(fc3_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc3_eqrel_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ~ v1_xboole_0(k7_eqrel_1(A,B)) ) )).
fof(fc3_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ( v3_msualg_1(k3_equation(A),A) & v4_msualg_1(k3_equation(A),A) & v2_msafree(k3_equation(A),A) ) ) )).
fof(fc3_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => ( v8_ordinal1(k12_euclid(k8_euclid(A,B,B))) & v1_xreal_0(k12_euclid(k8_euclid(A,B,B))) ) ) )).
fof(fc3_euclid_7,axiom,( v3_euclid_7(k1_tarski(k12_finseq_1(k4_ordinal1,1))) )).
fof(fc3_euclid_9,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & ~ v2_xxreal_0(B) ) => v1_xboole_0(k3_xxreal_1(k6_xcmplx_0(A,B),k2_xcmplx_0(A,B))) ) )).
fof(fc3_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k5_euclidlp(A)) ) )).
fof(fc3_exchsort,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k1_tarski(k4_tarski(A,B))) & v1_funct_1(k1_tarski(k4_tarski(A,B))) & v4_valued_0(k1_tarski(k4_tarski(A,B))) & v1_exchsort(k1_tarski(k4_tarski(A,B))) ) ) )).
fof(fc3_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k1_extpro_1(A),A) & v3_extpro_1(k1_extpro_1(A),A) ) ) )).
fof(fc3_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xtuple_0(A) & ~ v1_xtuple_0(B) & ~ v1_xtuple_0(C) ) => ~ v1_facirc_1(k1_enumset1(A,B,C)) ) )).
fof(fc3_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_xtuple_0(k5_facirc_2(A,B,C)) ) )).
fof(fc3_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v1_fcont_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k1_valued_1(A,B)) & v1_fcont_1(k1_valued_1(A,B)) ) ) )).
fof(fc3_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => v2_rcomp_1(k2_limfunc1(A)) ) )).
fof(fc3_fib_num2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_finset_1(B) & v1_setfam_1(B) & v6_membered(B) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_finseq_1(k5_relat_1(A,B)) ) ) )).
fof(fc3_fib_num3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => v2_xxreal_0(k1_fib_num3(A)) ) )).
fof(fc3_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k6_filter_0(A,B)) & v3_lattices(k6_filter_0(A,B)) & v10_lattices(k6_filter_0(A,B)) ) ) )).
fof(fc3_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( v3_lattices(k7_filter_1(A,B)) & v10_lattices(k7_filter_1(A,B)) ) ) )).
fof(fc3_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v21_lattices(k3_filter_2(A,B),k1_lattice2(A)) ) )).
fof(fc3_finance2,axiom,( ~ v1_xboole_0(k4_xboole_0(k1_numbers,k4_ordinal1)) )).
fof(fc3_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A)) ) )).
fof(fc3_finseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => v1_finseq_1(k2_funcop_1(k1_finseq_1(A),B)) ) )).
fof(fc3_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_funcop_1(k5_finseq_1(A)) ) )).
fof(fc3_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : v1_finseq_1(k7_finseq_4(A,B,C,D)) )).
fof(fc3_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v2_funct_1(C) & m1_finseq_1(C,B) ) => ( v1_relat_1(k16_finseq_1(A,C)) & v1_funct_1(k16_finseq_1(A,C)) & v2_funct_1(k16_finseq_1(A,C)) & v1_finseq_1(k16_finseq_1(A,C)) ) ) )).
fof(fc3_finseq_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k5_relat_1(A,k2_finseq_1(B))) & v1_finseq_1(k5_relat_1(A,k2_finseq_1(B))) ) ) )).
fof(fc3_finset_1,axiom,( ! [A] : ! [B] : ! [C] : v1_finset_1(k1_enumset1(A,B,C)) )).
fof(fc3_fintopo6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v2_fintopo6(k5_finseq_1(B),A) ) )).
fof(fc3_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k4_xboole_0(k3_finseq_2(A),k1_tarski(k1_xboole_0))) ) )).
fof(fc3_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & ~ v8_struct_0(A) & l4_struct_0(A) ) => ~ v1_finset_1(k8_relat_1(k14_fomodel1(A),k6_domain_1(k4_ordinal1,k5_numbers))) ) )).
fof(fc3_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k1_fomodel1(A)) ) )).
fof(fc3_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v3_card_1(C,k1_int_2(k19_fomodel1(A,B))) & m1_subset_1(C,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => v15_fomodel1(k1_fomodel3(A,B,C),A) ) )).
fof(fc3_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_fomodel4(B,A) ) => v2_fomodel4(k1_tarski(B),A) ) )).
fof(fc3_frechet,axiom,( v2_pre_topc(k3_topmetr) & v1_frechet(k3_topmetr) )).
fof(fc3_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) ) => ( v1_lang1(k3_freealg(A,B)) & v2_dtconstr(k3_freealg(A,B)) & v3_dtconstr(k3_freealg(A,B)) ) ) )).
fof(fc3_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & m1_subset_1(F,C) ) => ( ~ v2_struct_0(g3_fsm_1(A,B,C,D,E,F)) & v8_struct_0(g3_fsm_1(A,B,C,D,E,F)) & v3_fsm_1(g3_fsm_1(A,B,C,D,E,F),A,B) ) ) )).
fof(fc3_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(E) & v1_funct_2(E,k2_tarski(C,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_tarski(C,D),B))) ) => ( ~ v2_struct_0(k1_fsm_2(A,B,C,D,E)) & v5_fsm_2(k1_fsm_2(A,B,C,D,E),A) & v6_fsm_2(k1_fsm_2(A,B,C,D,E),A,B) ) ) )).
fof(fc3_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & v8_struct_0(C) & l1_rewrite3(C,B) ) => ( v8_struct_0(k1_fsm_3(A,B,C)) & v1_rewrite3(k1_fsm_3(A,B,C),k9_flang_1(A)) ) ) )).
fof(fc3_funcop_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B,A)) ) )).
fof(fc3_funcsdom,axiom,( ! [A] : ( v1_funct_1(k7_funcsdom(A)) & v1_funct_2(k7_funcsdom(A),k2_zfmisc_1(k1_numbers,k9_funct_2(A,k1_numbers)),k9_funct_2(A,k1_numbers)) & v9_valued_2(k7_funcsdom(A)) ) )).
fof(fc3_funct_1,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(A)) ) )).
fof(fc3_funct_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) => v1_xboole_0(k1_funct_2(A,B)) ) )).
fof(fc3_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) ) => ( v1_relat_1(k15_funct_3(A,B)) & v1_funct_1(k15_funct_3(A,B)) & v2_funct_1(k15_funct_3(A,B)) ) ) )).
fof(fc3_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & ~ v1_xboole_0(k1_funct_4(A,B)) ) ) )).
fof(fc3_funct_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_funcop_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) ) ) )).
fof(fc3_funct_8,axiom,( v1_funct_1(k18_sin_cos) & v1_funct_2(k18_sin_cos,k1_numbers,k1_numbers) & v4_funct_8(k18_sin_cos,k1_numbers,k1_numbers) )).
fof(fc3_functor0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k15_funct_3(B,A)) & v1_funct_1(k15_funct_3(B,A)) & v1_xboole_0(k15_funct_3(B,A)) ) ) )).
fof(fc3_fvaluat1,axiom,( v2_xxreal_0(k18_supinf_2) & v1_xreal_0(k18_supinf_2) & v1_fvaluat1(k18_supinf_2) )).
fof(fc3_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(u2_algstr_0(A)) & v1_funct_2(u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc3_gate_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k2_gate_1(A,B)) ) )).
fof(fc3_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) & v1_xcmplx_0(B) & v1_gaussint(B) ) => v1_gaussint(k2_xcmplx_0(A,B)) ) )).
fof(fc3_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ~ v1_xboole_0(k3_gcd_1(A)) ) )).
fof(fc3_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v1_finset_1(k6_glib_000(A)) ) )).
fof(fc3_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => v5_glib_001(k2_glib_001(A,B,D,C),A) ) )).
fof(fc3_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,B)) & v4_relat_1(k13_glib_000(A,k4_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,B)) & v1_finset_1(k13_glib_000(A,k4_glib_003,B)) & v1_glib_000(k13_glib_000(A,k4_glib_003,B)) ) ) )).
fof(fc3_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) => v1_finset_1(k1_xtuple_0(B)) ) )).
fof(fc3_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_005(B,A) & v7_ordinal1(C) ) => v4_relat_1(k1_funct_1(B,C),k7_glib_000(A)) ) )).
fof(fc3_goboard2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k1_numbers) & ~ v1_xboole_0(B) & m1_finseq_1(B,k1_numbers) ) => ( ~ v3_relat_1(k1_goboard2(A,B)) & v1_matrix_0(k1_goboard2(A,B)) & v1_goboard1(k1_goboard2(A,B)) & v2_goboard1(k1_goboard2(A,B)) ) ) )).
fof(fc3_gr_cy_1,axiom,( ~ v2_struct_0(k2_gr_cy_1) & v15_algstr_0(k2_gr_cy_1) & v2_group_1(k2_gr_cy_1) & v3_group_1(k2_gr_cy_1) )).
fof(fc3_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_finset_1(k3_graph_3(A,B,C)) ) )).
fof(fc3_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => v1_finset_1(k6_graph_5(A,B)) ) )).
fof(fc3_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k3_finseq_2(k1_numbers)) & v7_ordinal1(B) ) => v1_finset_1(k7_graphsp(A,B)) ) )).
fof(fc3_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_cat_1(k5_grcat_1(A,B)) ) )).
fof(fc3_grnilp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_grnilp_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & v1_group_3(B,A) & m1_group_2(B,A) ) => v1_grnilp_1(k5_group_6(A,B)) ) )).
fof(fc3_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v7_algstr_0(B) & v5_vectsp_1(B) & v4_rlvect_1(B) & v1_vectsp_2(B) & v1_algstr_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(C,A,B) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & ~ v9_struct_0(D,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k5_polynom7(A,B,C,D)) & v1_funct_2(k5_polynom7(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(k5_polynom7(A,B,C,D),A,B) ) ) )).
fof(fc3_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & v1_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k5_groeb_3(A,B,C,D,k5_numbers)) & v1_funct_2(k5_groeb_3(A,B,C,D,k5_numbers),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k5_groeb_3(A,B,C,D,k5_numbers),C) & v3_polynom7(k5_groeb_3(A,B,C,D,k5_numbers),A,C) ) ) )).
fof(fc3_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(u2_algstr_0(A)) & v1_funct_2(u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_finseqop(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc3_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ~ v1_xboole_0(k13_group_10(A,B,D,C)) ) )).
fof(fc3_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v4_group_7(B,A) & m1_subset_1(C,A) ) => v5_group_1(k1_funct_1(B,C)) ) )).
fof(fc3_group_14,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_prvect_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_prvect_1(k7_finseq_1(A,B)) ) ) )).
fof(fc3_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_group_19(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => v1_finset_1(k4_group_19(A,B,C)) ) )).
fof(fc3_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v8_struct_0(k6_group_2(A)) & v15_algstr_0(k6_group_2(A)) ) ) )).
fof(fc3_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v7_struct_0(k6_group_2(A)) & v15_algstr_0(k6_group_2(A)) ) ) )).
fof(fc3_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) ) => ( v15_algstr_0(k2_group_7(A,B)) & v2_group_1(k2_group_7(A,B)) ) ) )).
fof(fc3_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ~ v1_xboole_0(k6_group_9(A,B)) ) )).
fof(fc3_groupp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) & v1_groupp_1(C,A,B) & m1_subset_1(C,u1_struct_0(B)) & v1_groupp_1(D,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => v1_groupp_1(k6_algstr_0(B,C,D),A,B) ) )).
fof(fc3_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k7_hahnban1(A,B)) & v1_funct_2(k7_hahnban1(A,B),u1_struct_0(B),u1_struct_0(A)) & v2_hahnban1(k7_hahnban1(A,B),A,B) ) ) )).
fof(fc3_hausdorf,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & v2_compts_1(B,k3_pcomps_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( v1_funct_1(k5_weierstr(A,B)) & v1_funct_2(k5_weierstr(A,B),u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k5_weierstr(A,B),k3_pcomps_1(A),k3_topmetr) ) ) )).
fof(fc3_heyting3,axiom,( ! [A] : ! [B] : ( v3_orders_2(k1_heyting3(A,B)) & v4_orders_2(k1_heyting3(A,B)) & v5_orders_2(k1_heyting3(A,B)) ) )).
fof(fc3_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_funct_1(k6_hilbasis(A,B)) & v1_funct_2(k6_hilbasis(A,B),u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))) & v1_group_6(k6_hilbasis(A,B),k13_polynom3(k12_polynom1(B,A)),k12_polynom1(k1_nat_1(B,1),A)) ) ) )).
fof(fc3_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => v6_hilbert1(k5_hilbert1(A)) ) )).
fof(fc3_hilbert2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k6_trees_4(A,B,C)) & v1_funct_1(k6_trees_4(A,B,C)) & ~ v1_zfmisc_1(k6_trees_4(A,B,C)) & v3_trees_2(k6_trees_4(A,B,C)) ) ) )).
fof(fc3_hilbert3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) ) => ( v1_relat_1(k15_funct_3(A,B)) & v1_funct_1(k15_funct_3(A,B)) & v2_funct_1(k15_funct_3(A,B)) ) ) )).
fof(fc3_hilbert4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & v8_ordinal1(B) ) => v1_xboole_0(k32_fomodel0(k4_funct_4(B,A,A,B))) ) )).
fof(fc3_huffman1,axiom,( ! [A] : ( v1_relat_1(k1_trees_4(A)) & v1_funct_1(k1_trees_4(A)) & v2_funct_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A)) ) )).
fof(fc3_hurwitz2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_hurwitz2(A,B)) & v1_funct_2(k2_hurwitz2(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k2_hurwitz2(A,B),A) ) ) )).
fof(fc3_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,k4_ordinal1,B,6) & m1_finseq_1(D,k3_finseq_2(k4_ordinal1)) ) => ( v1_relat_1(k17_idea_1(A,B,C,D)) & v1_funct_1(k17_idea_1(A,B,C,D)) & v1_finseq_1(k17_idea_1(A,B,C,D)) & v1_funcop_1(k17_idea_1(A,B,C,D)) ) ) )).
fof(fc3_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) ) => v3_ideal_1(k1_tarski(k4_struct_0(A)),A) ) )).
fof(fc3_index_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_index_1(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v1_index_1(k3_relat_1(A,B)) ) ) )).
fof(fc3_int_1,axiom,( ! [A] : ( v1_int_1(A) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A)) ) ) )).
fof(fc3_int_3,axiom,( v4_vectsp_1(k1_int_3) )).
fof(fc3_int_4,axiom,( ! [A] : ( v1_int_1(A) => v1_partfun1(k1_int_4(A),k4_numbers) ) )).
fof(fc3_int_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) ) => ( v1_relat_1(k1_rfinseq(B,A)) & v5_relat_1(k1_rfinseq(B,A),k4_numbers) & v1_funct_1(k1_rfinseq(B,A)) & v1_finseq_1(k1_rfinseq(B,A)) ) ) )).
fof(fc3_integr16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_funct_1(k3_comseq_3(B)) & v1_funct_2(k3_comseq_3(B),A,k1_numbers) ) ) )).
fof(fc3_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) ) => ~ v1_xboole_0(k5_integra1(A,B,C)) ) )).
fof(fc3_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ~ v1_xboole_0(k9_interva1(A,B,C)) ) )).
fof(fc3_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => v8_intpro_1(k7_intpro_1(A)) ) )).
fof(fc3_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v6_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v5_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc3_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_sppol_1(k1_rltopsp1(k15_euclid(2),k10_pscomp_1(A),k13_pscomp_1(A))) ) )).
fof(fc3_jordan1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_convex1(k6_topreal1(A),k15_euclid(2)) ) )).
fof(fc3_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ v1_xboole_0(k2_jordan10(A)) ) )).
fof(fc3_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k7_relat_1(k4_pscomp_1,k7_topreal1(A))) ) )).
fof(fc3_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( v2_funct_1(k1_jordan1e(A,B)) & v1_topreal1(k1_jordan1e(A,B)) & v2_topreal1(k1_jordan1e(A,B)) & v3_topreal1(k1_jordan1e(A,B)) ) ) )).
fof(fc3_jordan1g,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => v2_goboard5(k2_jordan1e(A,B)) ) )).
fof(fc3_jordan1h,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v5_valued_0(k7_pre_poly(k1_numbers,A,k1_jordan1h)) ) )).
fof(fc3_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v2_compts_1(k3_jordan19(A),k15_euclid(2)) ) )).
fof(fc3_jordan23,axiom,( ! [A] : ! [B] : v3_jordan23(k10_finseq_1(A,B)) )).
fof(fc3_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => v3_connsp_1(k2_struct_0(k15_euclid(A)),k15_euclid(A)) ) )).
fof(fc3_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(A)) ) => v2_finsub_1(k7_kolmog01(B,C,A,E,D)) ) )).
fof(fc3_kurato_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_finset_1(k5_kurato_1(A,B)) ) )).
fof(fc3_kurato_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v1_frechet(k15_euclid(A)) ) ) )).
fof(fc3_lagra4sq,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v7_ordinal1(B) & v1_int_2(B) ) => v1_lagra4sq(k3_xcmplx_0(A,B)) ) )).
fof(fc3_lang1,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k8_lang1(A,B)) & v2_lang1(k8_lang1(A,B)) ) )).
fof(fc3_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v1_relat_1(k1_lattad_1(A)) & v1_relat_2(k1_lattad_1(A)) ) ) )).
fof(fc3_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_lattices(A) ) => ( v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc3_lattice3,axiom,( ! [A] : ( v3_lattices(k1_lattice3(A)) & v17_lattices(k1_lattice3(A)) ) )).
fof(fc3_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v19_waybel_0(C,A,B) & v20_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_orders_2(k1_yellow_2(A,B,C)) & v4_yellow_0(k1_yellow_2(A,B,C),B) & v5_yellow_0(k1_yellow_2(A,B,C),B) & v6_yellow_0(k1_yellow_2(A,B,C),B) ) ) )).
fof(fc3_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ~ v1_xboole_0(k7_lattice8(A,B,C)) ) )).
fof(fc3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ~ v2_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)) ) ) )).
fof(fc3_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) ) => v1_finset_1(k2_xtuple_0(B)) ) )).
fof(fc3_lfuzzy_0,axiom,( v1_orders_2(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1))) & v1_lfuzzy_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1))) & v2_lfuzzy_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1))) )).
fof(fc3_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v2_lfuzzy_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & v2_lfuzzy_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v5_relat_1(k2_fuzzy_1(k2_zfmisc_1(A,A),B,C),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k2_fuzzy_1(k2_zfmisc_1(A,A),B,C)) & v1_funct_2(k2_fuzzy_1(k2_zfmisc_1(A,A),B,C),k2_zfmisc_1(A,A),k1_numbers) & v2_lfuzzy_1(k2_fuzzy_1(k2_zfmisc_1(A,A),B,C),A) ) ) )).
fof(fc3_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( v8_algstr_0(k13_lmod_7(A,B,C)) & v13_algstr_0(k13_lmod_7(A,B,C)) & v2_rlvect_1(k13_lmod_7(A,B,C)) & v3_rlvect_1(k13_lmod_7(A,B,C)) & v4_rlvect_1(k13_lmod_7(A,B,C)) ) ) )).
fof(fc3_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v1_xboole_0(k7_lopban_1(A,B)) & v4_funct_1(k7_lopban_1(A,B)) ) ) )).
fof(fc3_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v13_algstr_0(k7_lopban_2(A)) & v2_rlvect_1(k7_lopban_2(A)) & v3_rlvect_1(k7_lopban_2(A)) & v4_rlvect_1(k7_lopban_2(A)) & v3_vectsp_1(k7_lopban_2(A)) & v4_vectsp_1(k7_lopban_2(A)) & v5_vectsp_1(k7_lopban_2(A)) & v6_vectsp_1(k7_lopban_2(A)) & v3_group_1(k7_lopban_2(A)) ) ) )).
fof(fc3_lopban_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_lopban_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_lopban_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_normsp_1(A,B,C)) & v1_funct_2(k2_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_lopban_3(k2_normsp_1(A,B,C),A) ) ) )).
fof(fc3_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v2_struct_0(k5_lopban_7(A,B,C)) & v13_algstr_0(k5_lopban_7(A,B,C)) & v2_rlvect_1(k5_lopban_7(A,B,C)) & v3_rlvect_1(k5_lopban_7(A,B,C)) & v4_rlvect_1(k5_lopban_7(A,B,C)) & v5_rlvect_1(k5_lopban_7(A,B,C)) & v6_rlvect_1(k5_lopban_7(A,B,C)) & v7_rlvect_1(k5_lopban_7(A,B,C)) & v8_rlvect_1(k5_lopban_7(A,B,C)) ) ) )).
fof(fc3_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ~ v1_xboole_0(k7_lopclset(A)) ) )).
fof(fc3_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k12_lpspacc1(A)) & v2_rlvect_1(k12_lpspacc1(A)) & v3_rlvect_1(k12_lpspacc1(A)) & v4_rlvect_1(k12_lpspacc1(A)) & v1_clvect_1(k12_lpspacc1(A)) & v2_clvect_1(k12_lpspacc1(A)) & v3_clvect_1(k12_lpspacc1(A)) & v4_clvect_1(k12_lpspacc1(A)) & v5_clvect_1(k12_lpspacc1(A)) ) ) )).
fof(fc3_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k10_lpspace1(A,B,C)) & v1_rlvect_1(k10_lpspace1(A,B,C)) & v2_rlvect_1(k10_lpspace1(A,B,C)) & v3_rlvect_1(k10_lpspace1(A,B,C)) & v4_rlvect_1(k10_lpspace1(A,B,C)) & v5_rlvect_1(k10_lpspace1(A,B,C)) & v6_rlvect_1(k10_lpspace1(A,B,C)) & v7_rlvect_1(k10_lpspace1(A,B,C)) & v8_rlvect_1(k10_lpspace1(A,B,C)) ) ) )).
fof(fc3_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v2_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v3_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v4_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v5_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v6_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v7_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v8_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) ) ) )).
fof(fc3_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( ~ v1_xboole_0(k1_funct_1(k4_ltlaxio3,A)) & v1_finset_1(k1_funct_1(k4_ltlaxio3,A)) ) ) )).
fof(fc3_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ( ~ v1_xboole_0(k5_ltlaxio4(A)) & v1_finset_1(k5_ltlaxio4(A)) ) ) )).
fof(fc3_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,B,k8_cqc_lang(A,C,B)),A) ) )).
fof(fc3_margrel1,axiom,( ! [A] : v1_xboolean(k10_margrel1(A)) )).
fof(fc3_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(u2_algstr_0(A)) & v1_funct_2(u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_setwiseo(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc3_matrix13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v13_algstr_0(k6_prvect_1(A,B)) & v7_vectsp_1(k6_prvect_1(A,B),A) & v2_rlvect_1(k6_prvect_1(A,B)) & v3_rlvect_1(k6_prvect_1(A,B)) & v4_rlvect_1(k6_prvect_1(A,B)) ) ) )).
fof(fc3_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => ( v1_relat_1(k2_finseq_3(B,C)) & v1_funct_1(k2_finseq_3(B,C)) & v1_finseq_1(k2_finseq_3(B,C)) & v1_matrix_0(k2_finseq_3(B,C)) ) ) )).
fof(fc3_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k10_matrix_1(A)) & v15_algstr_0(k10_matrix_1(A)) ) ) )).
fof(fc3_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_0(k1_matrix_4(B,C,D)) & v2_matrix_0(k1_matrix_4(B,C,D),u1_struct_0(B),A,A) ) ) )).
fof(fc3_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k4_matrlin(A,B,C,D,E)) & v1_funct_2(k4_matrlin(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(k4_matrlin(A,B,C,D,E),B,C) & v1_mod_2(k4_matrlin(A,B,C,D,E),A,B,C) ) ) )).
fof(fc3_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k3_xboole_0(C,B),A) ) )).
fof(fc3_matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(k2_vectsp_1),A,A) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v1_funct_1(k3_matrtop1(A,A,B)) & v1_funct_2(k3_matrtop1(A,A,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v1_topreal9(k3_matrtop1(A,A,B),A) ) ) )).
fof(fc3_mazurulm,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v4_xxreal_2(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => v3_xxreal_2(k23_member_1(A,B)) ) )).
fof(fc3_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ v1_xboole_0(k7_relat_1(C,A)) ) )).
fof(fc3_member_1,axiom,( ! [A] : ( v1_xboole_0(A) => ( v2_membered(k4_member_1(A)) & v1_xboole_0(k4_member_1(A)) ) ) )).
fof(fc3_membered,axiom,( v3_membered(k1_numbers) )).
fof(fc3_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & v2_memstr_0(B,A) & l1_memstr_0(B,A) ) => ( v1_relat_1(k2_memstr_0(A,B)) & v2_relat_1(k2_memstr_0(A,B)) & v4_relat_1(k2_memstr_0(A,B),u1_struct_0(B)) & v1_funct_1(k2_memstr_0(A,B)) & v1_partfun1(k2_memstr_0(A,B),u1_struct_0(B)) ) ) )).
fof(fc3_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & v1_mesfunc8(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_funct_1(k11_mesfun7c(A,B)) & v1_funct_2(k11_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(k11_mesfun7c(A,B),A,k1_numbers) ) ) )).
fof(fc3_mesfunc7,axiom,( v1_funct_1(k1_mesfunc7) & v1_funct_2(k1_mesfunc7,k2_zfmisc_1(k6_numbers,k6_numbers),k6_numbers) & v1_setwiseo(k1_mesfunc7,k6_numbers) )).
fof(fc3_metric_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k5_metric_1(A)) & v1_metric_1(k5_metric_1(A)) ) ) )).
fof(fc3_metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v3_pcomps_1(k2_borsuk_1(A,B)) ) ) )).
fof(fc3_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => v2_mfold_0(k1_mfold_1(A,k4_struct_0(k15_euclid(A)),1),A) ) )).
fof(fc3_mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ~ v2_struct_0(k1_mfold_1(A,B,C)) ) )).
fof(fc3_mfold_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => ( v1_funct_1(k1_mfold_2(A,B)) & v1_funct_2(k1_mfold_2(A,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_mfold_2(A,B),k15_euclid(A),k3_topmetr) ) ) )).
fof(fc3_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ~ v1_xboole_0(k10_midsp_1(A)) ) )).
fof(fc3_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( v1_funct_1(k5_midsp_2(A)) & v1_funct_2(k5_midsp_2(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k15_midsp_1(A))) & v1_midsp_2(k5_midsp_2(A),A,k15_midsp_1(A)) ) ) )).
fof(fc3_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_mmlquery(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_mmlquery(k3_xboole_0(C,B),A) ) )).
fof(fc3_mod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k3_struct_0(B)) & v1_funct_2(k3_struct_0(B),u1_struct_0(B),u1_struct_0(B)) & v1_mod_2(k3_struct_0(B),A,B,B) ) ) )).
fof(fc3_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k2_mod_4(A)) & v4_vectsp_1(k2_mod_4(A)) ) ) )).
fof(fc3_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_modelc_1(k9_modelc_1(A)) ) )).
fof(fc3_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_modelc_2(k6_modelc_2(A)) ) )).
fof(fc3_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ( ~ v1_xboole_0(k23_modelc_3(A)) & v1_finset_1(k23_modelc_3(A)) ) ) )).
fof(fc3_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_finset_1(k3_moebius1(A)) & v1_setfam_1(k3_moebius1(A)) ) ) )).
fof(fc3_moebius2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_valued_0(A) ) => ( v7_ordinal1(k19_rvsum_1(A)) & v1_xcmplx_0(k19_rvsum_1(A)) ) ) )).
fof(fc3_monoid_0,axiom,( ! [A] : ( ~ v2_struct_0(k15_monoid_0(A)) & v15_algstr_0(k15_monoid_0(A)) & v1_group_1(k15_monoid_0(A)) ) )).
fof(fc3_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,u1_struct_0(k9_monoid_1(A,B))) ) => ~ v1_xboole_0(k10_xtuple_0(C)) ) )).
fof(fc3_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k2_card_3(B)) & v2_relat_1(k2_card_3(B)) & v1_funct_1(k2_card_3(B)) ) ) )).
fof(fc3_msafree1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v1_msafree1(B,A) & l3_msualg_1(B,A) ) => ( v1_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_prob_2(u3_msualg_1(A,B)) ) ) )).
fof(fc3_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k1_msafree3(A,B),A) & v2_msafree(k1_msafree3(A,B),A) & v1_msualg_6(k1_msafree3(A,B),A) ) ) )).
fof(fc3_msafree4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k1_funct_6(A)) & v1_funct_1(k1_funct_6(A)) & v2_finset_1(k1_funct_6(A)) ) ) )).
fof(fc3_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v6_msafree5(B) & m1_subset_1(C,A) ) => ~ v1_finset_1(k1_funct_1(B,C)) ) )).
fof(fc3_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_msalimit(C,A,B) & m2_msalimit(D,A,B,C) ) => v1_msalimit(k2_msalimit(A,B,C,D),A,B,C) ) )).
fof(fc3_msinst_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) ) => ( ~ v2_struct_0(k4_msinst_1(A,B)) & v2_altcat_1(k4_msinst_1(A,B)) & v6_altcat_1(k4_msinst_1(A,B)) & v11_altcat_1(k4_msinst_1(A,B)) & v12_altcat_1(k4_msinst_1(A,B)) ) ) )).
fof(fc3_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ( v1_relat_1(k1_funct_6(B)) & v4_relat_1(k1_funct_6(B),A) & v1_funct_1(k1_funct_6(B)) & v1_partfun1(k1_funct_6(B),A) ) ) )).
fof(fc3_mssublat,axiom,( ! [A] : ( ( v2_unialg_1(A) & l1_unialg_1(A) ) => ( v1_unialg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) & v2_unialg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) ) ) )).
fof(fc3_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v3_msualg_1(k9_msualg_1(A),k6_msualg_1(A)) & v4_msualg_1(k9_msualg_1(A),k6_msualg_1(A)) ) ) )).
fof(fc3_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,B,k3_finseq_2(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k3_finseq_2(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ~ v2_struct_0(g1_msualg_1(A,B,C,D)) & v1_msualg_1(g1_msualg_1(A,B,C,D)) ) ) )).
fof(fc3_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v3_msualg_1(k13_msualg_4(A,B,C),A) & v4_msualg_1(k13_msualg_4(A,B,C),A) ) ) )).
fof(fc3_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_relat_1(k7_msualg_6(A,B,C)) & v4_msualg_6(k7_msualg_6(A,B,C),A,B) ) ) )).
fof(fc3_mycielsk,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_orders_2(A) ) => ( v1_xboole_0(k2_mycielsk(A)) & v7_ordinal1(k2_mycielsk(A)) ) ) )).
fof(fc3_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ~ v8_ordinal1(k2_xcmplx_0(A,B)) ) )).
fof(fc3_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_valued_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k1_nat_3(A,B)) & v1_funct_1(k1_nat_3(A,B)) & v1_finseq_1(k1_nat_3(A,B)) & v4_valued_0(k1_nat_3(A,B)) ) ) )).
fof(fc3_nat_6,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v7_ordinal1(B) ) => v1_int_1(k1_newton(A,B)) ) )).
fof(fc3_nat_lat,axiom,( ~ v2_struct_0(k3_nat_lat) & v3_lattices(k3_nat_lat) )).
fof(fc3_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v4_nattra_1(B) & l1_cat_1(B) ) => ( ~ v2_struct_0(k6_cat_2(A,B)) & ~ v11_struct_0(k6_cat_2(A,B)) & v2_cat_1(k6_cat_2(A,B)) & v3_cat_1(k6_cat_2(A,B)) & v4_cat_1(k6_cat_2(A,B)) & v5_cat_1(k6_cat_2(A,B)) & v6_cat_1(k6_cat_2(A,B)) & v4_nattra_1(k6_cat_2(A,B)) ) ) )).
fof(fc3_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ~ v2_struct_0(k5_nbvectsp(A)) & v13_algstr_0(k5_nbvectsp(A)) & v2_rlvect_1(k5_nbvectsp(A)) & v3_rlvect_1(k5_nbvectsp(A)) & v4_rlvect_1(k5_nbvectsp(A)) & v8_vectsp_1(k5_nbvectsp(A),k2_bspace) & v9_vectsp_1(k5_nbvectsp(A),k2_bspace) & v10_vectsp_1(k5_nbvectsp(A),k2_bspace) & v11_vectsp_1(k5_nbvectsp(A),k2_bspace) & v1_matrlin(k5_nbvectsp(A),k2_bspace) ) ) )).
fof(fc3_neckla_3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k1_neckla_2(A,B)) & v1_orders_2(k1_neckla_2(A,B)) ) ) )).
fof(fc3_necklace,axiom,( ! [A] : ( ( v1_necklace(A) & l1_orders_2(A) ) => v3_relat_2(u1_orders_2(A)) ) )).
fof(fc3_newton,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) ) => v1_xcmplx_0(k1_newton(A,B)) ) )).
fof(fc3_newton01,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) & v1_int_1(B) & v1_abian(B) ) => v1_abian(k1_newton(B,A)) ) )).
fof(fc3_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_funct_1(C) & v1_nfcont_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k1_vfunct_1(k1_numbers,A,B,C)) & v1_nfcont_3(k1_vfunct_1(k1_numbers,A,B,C),A) ) ) )).
fof(fc3_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v1_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_funct_1(C) & v1_nfcont_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_funct_1(k7_integr15(A,k1_numbers,B,C)) & v1_nfcont_4(k7_integr15(A,k1_numbers,B,C),A) ) ) )).
fof(fc3_normform,axiom,( ! [A] : ~ v1_xboole_0(k8_normform(A)) )).
fof(fc3_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k4_normsp_2(A)) & v8_pre_topc(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A)) ) ) )).
fof(fc3_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v2_nfcont_1(k2_struct_0(A),A) ) )).
fof(fc3_numbers,axiom,( ~ v1_xboole_0(k3_numbers) )).
fof(fc3_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => v7_ordinal1(k7_xcmplx_0(A,2)) ) )).
fof(fc3_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k6_openlatt(A)) & v10_lattices(k6_openlatt(A)) & v1_lattice2(k6_openlatt(A)) ) ) )).
fof(fc3_oposet_1,axiom,( ~ v2_struct_0(k2_oposet_1) & v3_qmax_1(k2_oposet_1) )).
fof(fc3_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => v1_rlsub_1(k1_ordeq_01(A,B),k5_rsspace4(A,B)) ) )).
fof(fc3_orders_1,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v1_orders_1(k4_relat_1(A)) & v2_orders_1(k4_relat_1(A)) ) )).
fof(fc3_orders_2,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => v1_relat_2(u1_orders_2(A)) ) )).
fof(fc3_orders_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k1_orders_3(A,A)) ) )).
fof(fc3_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => v3_ordinal1(k3_tarski(A)) ) )).
fof(fc3_ordinal2,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => v1_ordinal2(k2_funcop_1(A,B)) ) )).
fof(fc3_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => ( v3_ordinal1(k5_ordinal3(A,B)) & v7_ordinal1(k5_ordinal3(A,B)) ) ) )).
fof(fc3_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ~ v1_xboole_0(k2_ordinal1(A)) ) )).
fof(fc3_ordinal5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v5_ordinal1(B) ) => ( v1_relat_1(k1_ordinal4(B,A)) & v1_funct_1(k1_ordinal4(B,A)) & ~ v1_xboole_0(k1_ordinal4(B,A)) & v5_ordinal1(k1_ordinal4(B,A)) ) ) )).
fof(fc3_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) => v3_ordinal1(k3_tarski(A)) ) )).
fof(fc3_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k4_osafree(A,B,C)) ) )).
fof(fc3_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ( ~ v2_struct_0(k1_osalg_1(A)) & ~ v11_struct_0(k1_osalg_1(A)) & v1_orders_3(k1_osalg_1(A)) & v3_osalg_1(k1_osalg_1(A)) & v4_osalg_1(k1_osalg_1(A)) & v6_osalg_1(k1_osalg_1(A)) ) ) )).
fof(fc3_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & m2_osalg_2(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ~ v1_xboole_0(k8_osalg_2(A,B,C,D)) ) )).
fof(fc3_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( v3_msualg_1(k16_osalg_4(A,B,C),A) & v4_msualg_1(k16_osalg_4(A,B,C),A) & v12_osalg_1(k16_osalg_4(A,B,C),A) ) ) )).
fof(fc3_papdesaf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ( v1_analoaf(k2_diraf(A)) & v1_translac(k2_diraf(A)) ) ) )).
fof(fc3_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k9_parsp_1(A)) & v1_parsp_1(k9_parsp_1(A)) ) ) )).
fof(fc3_partfun1,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v3_relat_2(k4_relat_1(A)) & v4_relat_2(k4_relat_1(A)) & v8_relat_2(k4_relat_1(A)) ) )).
fof(fc3_partfun3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v3_xxreal_0(k3_xcmplx_0(A,k5_xcmplx_0(A))) ) )).
fof(fc3_partit_2,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v1_partit_2(k4_relat_1(A)) ) )).
fof(fc3_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ( v1_relat_1(k8_pboole(A,B)) & v1_funct_1(k8_pboole(A,B)) & v1_funcop_1(k8_pboole(A,B)) ) ) )).
fof(fc3_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v3_relat_2(k2_xboole_0(C,D)) ) )).
fof(fc3_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_pzfmisc1(A,B)) & v4_relat_1(k1_pzfmisc1(A,B),A) & v1_funct_1(k1_pzfmisc1(A,B)) & v1_partfun1(k1_pzfmisc1(A,B),A) & v16_pencil_1(k1_pzfmisc1(A,B),A) ) ) )).
fof(fc3_petri,axiom,( ! [A] : ( ( v3_petri(A) & l1_petri(A) ) => ~ v1_xboole_0(u2_petri(A)) ) )).
fof(fc3_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_polyalg1(A)) & v4_rlvect_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A),A) ) ) )).
fof(fc3_polyeq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => v1_xreal_0(k2_polyeq_1(A,B,C,D)) ) )).
fof(fc3_polyeq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) & v1_xreal_0(F) ) => v1_xreal_0(k2_polyeq_2(A,B,C,D,E,F)) ) )).
fof(fc3_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k7_polynom1(A,B,C,D)) & v1_funct_2(k7_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k7_polynom1(A,B,C,D),B) ) ) )).
fof(fc3_polynom2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v4_vectsp_1(k12_polynom1(A,B)) ) ) )).
fof(fc3_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_normsp_1(A,B,C)) & v1_funct_2(k1_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k1_normsp_1(A,B,C),A) ) ) )).
fof(fc3_polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_funct_1(k5_polynom5(A,B,C)) & v1_funct_2(k5_polynom5(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k5_polynom5(A,B,C),A) ) ) )).
fof(fc3_polynom6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & ~ v7_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v5_vectsp_1(k12_polynom1(A,B)) ) ) )).
fof(fc3_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v1_funct_1(k4_polynom7(A,B,C)) & v1_funct_2(k4_polynom7(A,B,C),k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(k4_polynom7(A,B,C),A,B) ) ) )).
fof(fc3_polyred,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( v1_orders_2(g1_orders_2(k15_pre_poly(A),B)) & v16_waybel_0(g1_orders_2(k15_pre_poly(A),B)) ) ) )).
fof(fc3_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => v4_relat_2(k5_poset_1(A,B)) ) )).
fof(fc3_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v1_orders_2(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_poset_1(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v2_poset_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & v2_poset_1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( v1_funct_1(k13_funct_3(D,E)) & v1_funct_2(k13_funct_3(D,E),u1_struct_0(A),u1_struct_0(k3_yellow_3(B,C))) & v2_poset_1(k13_funct_3(D,E),A,k3_yellow_3(B,C)) ) ) )).
fof(fc3_pralg_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ v1_xboole_0(k4_card_3(B)) ) )).
fof(fc3_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => ~ v1_xboole_0(k7_pralg_2(A,B,C)) ) )).
fof(fc3_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,u4_struct_0(A)) & m1_pralg_2(D,B,A) ) => ( v1_relat_1(k1_pralg_3(A,k14_pralg_2(B,A,D),C)) & v1_funct_1(k1_pralg_3(A,k14_pralg_2(B,A,D),C)) ) ) )).
fof(fc3_pre_circ,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_relat_1(k5_relat_1(A,B)) ) ) )).
fof(fc3_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v4_relat_1(k1_funct_7(B,C,D),A) & v1_funct_1(k1_funct_7(B,C,D)) ) ) )).
fof(fc3_pre_topc,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v2_pre_topc(k1_pre_topc(A,B)) ) ) )).
fof(fc3_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k2_prefer_1(A)) & v3_prefer_1(k2_prefer_1(A)) & v4_prefer_1(k2_prefer_1(A)) ) ) )).
fof(fc3_prepower,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_int_1(B) ) => v1_xreal_0(k3_prepower(A,B)) ) )).
fof(fc3_prob_1,axiom,( ! [A] : v2_finsub_1(k2_tarski(k1_xboole_0,A)) )).
fof(fc3_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k2_prob_3(A,C),B) & v1_funct_1(k2_prob_3(A,C)) & v1_funct_2(k2_prob_3(A,C),k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(fc3_prvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v7_vectsp_1(k6_prvect_1(A,B),A) & v8_vectsp_1(k6_prvect_1(A,B),A) & v9_vectsp_1(k6_prvect_1(A,B),A) & v10_vectsp_1(k6_prvect_1(A,B),A) & v11_vectsp_1(k6_prvect_1(A,B),A) ) ) )).
fof(fc3_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) ) => ( ~ v2_struct_0(k4_prvect_3(A,B)) & v8_algstr_0(k4_prvect_3(A,B)) & v3_rlvect_1(k4_prvect_3(A,B)) ) ) )).
fof(fc3_pscomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v2_compts_1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v2_compts_1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => v2_compts_1(k3_xboole_0(B,C),k15_euclid(A)) ) )).
fof(fc3_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) ) => ( ~ v2_struct_0(k11_pua2mss1(A,B)) & ~ v11_struct_0(k11_pua2mss1(A,B)) & v1_msualg_1(k11_pua2mss1(A,B)) ) ) )).
fof(fc3_pythtrip,axiom,( ! [A] : ( v1_int_1(A) => v1_int_1(k1_square_1(A)) ) )).
fof(fc3_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k3_qc_lang1(A)) ) )).
fof(fc3_qmax_1,axiom,( ! [A] : ( l1_qmax_1(A) => ~ v1_xboole_0(k3_qmax_1(A)) ) )).
fof(fc3_quatern2,axiom,( v8_algstr_0(k14_quatern2) & v13_algstr_0(k14_quatern2) & v2_rlvect_1(k14_quatern2) & v3_rlvect_1(k14_quatern2) & v4_rlvect_1(k14_quatern2) )).
fof(fc3_quaterni,axiom,( v1_quaterni(k3_quaterni) )).
fof(fc3_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) ) => ~ v1_xboole_0(k7_quofield(A)) ) )).
fof(fc3_ramsey_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_finset_1(B) ) => ~ v1_finset_1(k4_xboole_0(A,B)) ) )).
fof(fc3_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v1_relat_1(k5_random_3(A)) & v2_relat_1(k5_random_3(A)) & v4_relat_1(k5_random_3(A),k4_ordinal1) & v1_funct_1(k5_random_3(A)) & v1_partfun1(k5_random_3(A),k4_ordinal1) ) ) )).
fof(fc3_rat_1,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_rat_1(B) ) => v1_rat_1(k6_xcmplx_0(A,B)) ) )).
fof(fc3_rcomp_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xxreal_0(B) ) => v4_xxreal_2(k3_xxreal_1(B,A)) ) )).
fof(fc3_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v8_ordinal1(k4_int_1(k5_numbers,A)) & v1_int_1(k4_int_1(k5_numbers,A)) ) ) )).
fof(fc3_real_lat,axiom,( v3_lattices(k3_real_lat) & v10_lattices(k3_real_lat) )).
fof(fc3_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k4_real_ns1(A)) & v13_algstr_0(k4_real_ns1(A)) & v2_rlvect_1(k4_real_ns1(A)) & v3_rlvect_1(k4_real_ns1(A)) & v4_rlvect_1(k4_real_ns1(A)) & v5_rlvect_1(k4_real_ns1(A)) & v6_rlvect_1(k4_real_ns1(A)) & v7_rlvect_1(k4_real_ns1(A)) & v8_rlvect_1(k4_real_ns1(A)) & v3_normsp_0(k4_real_ns1(A)) & v4_normsp_0(k4_real_ns1(A)) & v1_normsp_1(k4_real_ns1(A)) & v2_normsp_1(k4_real_ns1(A)) ) ) )).
fof(fc3_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => v1_relat_1(k2_xboole_0(A,B)) ) )).
fof(fc3_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_2(A) ) => ( v1_relat_1(k2_relat_1(A)) & v2_relat_2(k2_relat_1(A)) ) ) )).
fof(fc3_reloc,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_compos_0(k4_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(fc3_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_relat_1(C) ) => v4_relat_1(k4_xboole_0(B,C),A) ) )).
fof(fc3_revrot_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => v1_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) )).
fof(fc3_rewrite2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_rewrite2(A) ) => v5_ordinal1(k1_funct_1(A,B)) ) )).
fof(fc3_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k4_rfunct_1(A)) & v1_funct_1(k4_rfunct_1(A)) & v1_valued_0(k4_rfunct_1(A)) ) ) )).
fof(fc3_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v6_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k5_relat_1(A,B)) & v6_valued_0(k5_relat_1(A,B)) ) ) )).
fof(fc3_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k1_ring_1(A,B)) & v1_partfun1(k1_ring_1(A,B),u1_struct_0(A)) & v3_relat_2(k1_ring_1(A,B)) & v8_relat_2(k1_ring_1(A,B)) ) ) )).
fof(fc3_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ~ v1_xboole_0(k2_ring_2(A)) ) )).
fof(fc3_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ~ v1_xboole_0(k9_ringcat1(A)) ) )).
fof(fc3_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_rlaffin1(k1_tarski(B),A) ) )).
fof(fc3_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v1_finset_1(k5_rusub_4(A,B,C)) ) )).
fof(fc3_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v3_lattices(g3_lattices(k3_rlsub_2(A),k5_rlsub_2(A),k6_rlsub_2(A))) & v12_lattices(g3_lattices(k3_rlsub_2(A),k5_rlsub_2(A),k6_rlsub_2(A))) & v13_lattices(g3_lattices(k3_rlsub_2(A),k5_rlsub_2(A),k6_rlsub_2(A))) & v14_lattices(g3_lattices(k3_rlsub_2(A),k5_rlsub_2(A),k6_rlsub_2(A))) & v16_lattices(g3_lattices(k3_rlsub_2(A),k5_rlsub_2(A),k6_rlsub_2(A))) ) ) )).
fof(fc3_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_rltopsp1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_rltopsp1(k6_rusub_4(A,B,C),A) ) )).
fof(fc3_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k16_rlvect_2(A)) & v1_rlvect_1(k16_rlvect_2(A)) ) ) )).
fof(fc3_robbins3,axiom,( v3_robbins3(k1_robbins3) )).
fof(fc3_robbins4,axiom,( v3_orders_2(k1_robbins4) & v4_orders_2(k1_robbins4) & v5_orders_2(k1_robbins4) )).
fof(fc3_roughs_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v8_struct_0(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)) ) ) )).
fof(fc3_roughs_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k4_relat_1(k1_zfmisc_1(A))) & v1_funct_2(k4_relat_1(k1_zfmisc_1(A)),k1_zfmisc_1(A),k1_zfmisc_1(A)) & v5_roughs_2(k4_relat_1(k1_zfmisc_1(A))) & v6_roughs_2(k4_relat_1(k1_zfmisc_1(A)),A) ) ) )).
fof(fc3_rsspace,axiom,( ~ v1_xboole_0(k8_rsspace) & v1_rlsub_1(k8_rsspace,k4_rsspace) )).
fof(fc3_rsspace3,axiom,( v13_algstr_0(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v1_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v2_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v3_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v4_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v5_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v6_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v7_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v8_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) )).
fof(fc3_rsspace4,axiom,( v13_algstr_0(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v1_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v2_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v3_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v4_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v5_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v6_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v7_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v8_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) )).
fof(fc3_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( v3_lattices(g3_lattices(k3_rusub_2(A),k5_rusub_2(A),k6_rusub_2(A))) & v12_lattices(g3_lattices(k3_rusub_2(A),k5_rusub_2(A),k6_rusub_2(A))) & v13_lattices(g3_lattices(k3_rusub_2(A),k5_rusub_2(A),k6_rusub_2(A))) & v14_lattices(g3_lattices(k3_rusub_2(A),k5_rusub_2(A),k6_rusub_2(A))) & v16_lattices(g3_lattices(k3_rusub_2(A),k5_rusub_2(A),k6_rusub_2(A))) ) ) )).
fof(fc3_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v3_valued_0(k10_finseq_1(A,B)) ) )).
fof(fc3_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) ) => v1_xreal_0(k3_funct_1(A)) ) )).
fof(fc3_scm_halt,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) & v1_scm_halt(k3_scmfsa6a(A,B)) ) ) )).
fof(fc3_scm_inst,axiom,( v3_finseq_1(k10_xtuple_0(k3_scm_inst)) )).
fof(fc3_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_amistd_1(k7_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc3_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_relat_1(k1_scmfsa6a(A)) & v4_relat_1(k1_scmfsa6a(A),k4_ordinal1) & v5_relat_1(k1_scmfsa6a(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa6a(A)) & v1_finset_1(k1_scmfsa6a(A)) & v2_compos_1(k1_scmfsa6a(A),k1_scmfsa_2) ) ) )).
fof(fc3_scmfsa6b,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(B) ) => ( v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v1_scmfsa6b(k2_scmfsa6a(A,B)) ) ) )).
fof(fc3_scmfsa6c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => v1_scmfsa6c(k15_scmfsa_2(B,A,C)) ) )).
fof(fc3_scmfsa7b,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & m1_finseq_1(B,k4_numbers) ) => ( v1_relat_1(k4_scmfsa_7(A,B)) & v4_relat_1(k4_scmfsa_7(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_scmfsa_7(A,B)) & v1_funct_1(k4_scmfsa_7(A,B)) & v1_finset_1(k4_scmfsa_7(A,B)) & v1_afinsq_1(k4_scmfsa_7(A,B)) ) ) )).
fof(fc3_scmfsa8a,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scmfsa7b(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_scmfsa7b(B) ) => ( ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v1_scmfsa7b(k2_scmfsa6a(A,B)) ) ) )).
fof(fc3_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k1_scmfsa8b(C,A,B)) & v1_relat_1(k1_scmfsa8b(C,A,B)) & v4_relat_1(k1_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k1_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8b(C,A,B)) & v1_finset_1(k1_scmfsa8b(C,A,B)) & v1_afinsq_1(k1_scmfsa8b(C,A,B)) & v6_amistd_1(k1_scmfsa8b(C,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc3_scmfsa_1,axiom,( v1_relat_1(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)) & v2_relat_1(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)) )).
fof(fc3_scmfsa_2,axiom,( ~ v1_finset_1(k3_scmfsa_2) )).
fof(fc3_scmfsa_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_compos_0(k8_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc3_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k3_scmfsa_x(B,A)) & v4_relat_1(k3_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k3_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k3_scmfsa_x(B,A)) & v1_funct_1(k3_scmfsa_x(B,A)) & v1_finset_1(k3_scmfsa_x(B,A)) & v1_afinsq_1(k3_scmfsa_x(B,A)) & v1_scmfsa7b(k3_scmfsa_x(B,A)) ) ) )).
fof(fc3_scmfsa_i,axiom,( ~ v1_xboole_0(k2_scmfsa_i) & v1_compos_0(k2_scmfsa_i) )).
fof(fc3_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(A) ) => ( v1_relat_1(k1_scmfsa_m(A)) & v4_relat_1(k1_scmfsa_m(A),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa_m(A)) & v5_funct_1(k1_scmfsa_m(A),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(k1_scmfsa_m(A)) ) ) )).
fof(fc3_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k1_scmfsa_x(B,A)) & v4_relat_1(k1_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k1_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_scmfsa_x(B,A)) & v1_funct_1(k1_scmfsa_x(B,A)) & v1_finset_1(k1_scmfsa_x(B,A)) & v1_afinsq_1(k1_scmfsa_x(B,A)) & v5_amistd_1(k1_scmfsa_x(B,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc3_scmpds_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => v1_int_1(k1_funct_1(A,B)) ) )).
fof(fc3_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v4_scmpds_4(k11_scmpds_2(A,B,C)) ) )).
fof(fc3_scmpds_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k1_scmpds_6(k1_nat_1(A,1))) & v4_relat_1(k1_scmpds_6(k1_nat_1(A,1)),k4_ordinal1) & v5_relat_1(k1_scmpds_6(k1_nat_1(A,1)),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_scmpds_6(k1_nat_1(A,1))) & v1_funct_1(k1_scmpds_6(k1_nat_1(A,1))) & v1_finset_1(k1_scmpds_6(k1_nat_1(A,1))) & v1_afinsq_1(k1_scmpds_6(k1_nat_1(A,1))) & v2_compos_1(k1_scmpds_6(k1_nat_1(A,1)),k1_scmpds_2) ) ) )).
fof(fc3_scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v7_ordinal1(D) ) => ( v1_relat_1(k2_scmpds_7(B,C,D,A)) & v4_relat_1(k2_scmpds_7(B,C,D,A),k4_ordinal1) & v5_relat_1(k2_scmpds_7(B,C,D,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_7(B,C,D,A)) & v1_funct_1(k2_scmpds_7(B,C,D,A)) & v1_finset_1(k2_scmpds_7(B,C,D,A)) & v1_afinsq_1(k2_scmpds_7(B,C,D,A)) & v3_scmpds_4(k2_scmpds_7(B,C,D,A)) ) ) )).
fof(fc3_scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( ~ v1_xboole_0(k2_scmpds_8(B,C,A)) & v1_relat_1(k2_scmpds_8(B,C,A)) & v4_relat_1(k2_scmpds_8(B,C,A),k4_ordinal1) & v5_relat_1(k2_scmpds_8(B,C,A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k2_scmpds_8(B,C,A)) & v1_finset_1(k2_scmpds_8(B,C,A)) & v1_afinsq_1(k2_scmpds_8(B,C,A)) & v3_scmpds_4(k2_scmpds_8(B,C,A)) ) ) )).
fof(fc3_scmpds_i,axiom,( v1_compos_0(k1_scmpds_i) )).
fof(fc3_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v3_memstr_0(k1_scmring2(A),k5_card_1(2)) & v1_extpro_1(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc3_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v4_amistd_1(k4_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc3_scmring4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v1_extpro_1(k1_scmring2(A),k5_card_1(2)) & v4_amistd_5(k1_scmring2(A),k5_card_1(2)) ) ) )).
fof(fc3_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => v3_finseq_1(k10_xtuple_0(k1_scmringi(A))) ) )).
fof(fc3_scmyciel,axiom,( ! [A] : ( v1_scmyciel(A) => v1_xboole_0(k3_tarski(A)) ) )).
fof(fc3_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k30_valued_1(A)) & v1_funct_2(k30_valued_1(A),k4_ordinal1,k1_numbers) & v2_comseq_2(k30_valued_1(A)) ) ) )).
fof(fc3_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_xboole_0(k12_seq_4(A)) ) )).
fof(fc3_setfam_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => v1_setfam_1(k2_tarski(A,B)) ) )).
fof(fc3_sf_mastr,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k5_sf_mastr(A)) ) )).
fof(fc3_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k8_scmfsa_2(A,B)) ) )).
fof(fc3_sfmastr2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k2_sfmastr2(B,A)) & v4_relat_1(k2_sfmastr2(B,A),k4_ordinal1) & v5_relat_1(k2_sfmastr2(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_sfmastr2(B,A)) & v1_funct_1(k2_sfmastr2(B,A)) & v1_finset_1(k2_sfmastr2(B,A)) & v1_afinsq_1(k2_sfmastr2(B,A)) & v3_compos_1(k2_sfmastr2(B,A),k1_scmfsa_2) & v4_compos_1(k2_sfmastr2(B,A),k1_scmfsa_2) & v1_scmfsa7b(k2_sfmastr2(B,A)) ) ) )).
fof(fc3_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( v1_relat_1(k2_sfmastr3(A,B,C,D)) & v4_relat_1(k2_sfmastr3(A,B,C,D),k4_ordinal1) & v5_relat_1(k2_sfmastr3(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_sfmastr3(A,B,C,D)) & ~ v1_xboole_0(k2_sfmastr3(A,B,C,D)) & v1_finset_1(k2_sfmastr3(A,B,C,D)) & v1_afinsq_1(k2_sfmastr3(A,B,C,D)) & v3_compos_1(k2_sfmastr3(A,B,C,D),k1_scmfsa_2) & v4_compos_1(k2_sfmastr3(A,B,C,D),k1_scmfsa_2) & v1_scmfsa7b(k2_sfmastr3(A,B,C,D)) ) ) )).
fof(fc3_simplex0,axiom,( ! [A] : ! [B] : ( ( v1_classes1(A) & v1_classes1(B) ) => v1_classes1(k2_xboole_0(A,B)) ) )).
fof(fc3_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v2_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_pre_topc(k5_simplex0(u1_struct_0(A),B)) & v1_simplex1(k5_simplex0(u1_struct_0(A),B),A) ) ) )).
fof(fc3_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k17_sin_cos(A)) ) )).
fof(fc3_sin_cos2,axiom,( ! [A] : v1_xreal_0(k6_sin_cos2(A)) )).
fof(fc3_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(fc3_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k3_sin_cos9(A)) ) )).
fof(fc3_sincos10,axiom,( v1_relat_1(k5_relat_1(k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) & v2_funct_1(k5_relat_1(k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(fc3_sppol_1,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => v4_pre_topc(k2_topreal1(2,A,B),k15_euclid(2)) ) )).
fof(fc3_sppol_2,axiom,( ! [A] : ! [B] : ( ( v2_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => v2_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)) ) )).
fof(fc3_sprect_1,axiom,( v1_topreal4(k1_topreal1) & ~ v1_sppol_1(k1_topreal1) & ~ v2_sppol_1(k1_topreal1) )).
fof(fc3_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v1_topreal2(k3_topreal1(2,A)) ) )).
fof(fc3_sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v2_topreal4(k2_goboard9(A),k15_euclid(2)) ) )).
fof(fc3_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k3_square_1(A)) ) )).
fof(fc3_srings_1,axiom,( ! [A] : ~ v1_setfam_1(k1_tex_1(A)) )).
fof(fc3_srings_2,axiom,( ! [A] : ( v5_card_3(A) => v4_srings_1(k5_finsub_1(A),A) ) )).
fof(fc3_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v4_funct_1(u4_struct_0(k8_stacks_1(A))) ) )).
fof(fc3_struct_0,axiom,( ! [A] : ( l1_struct_0(A) => v1_xboole_0(k1_struct_0(A)) ) )).
fof(fc3_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ v1_xboole_0(k2_enumset1(A,B,C,D)) )).
fof(fc3_substlat,axiom,( ! [A] : ! [B] : ( v3_lattices(k5_substlat(A,B)) & v10_lattices(k5_substlat(A,B)) ) )).
fof(fc3_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => v1_finset_1(k9_substut1(A,B)) ) )).
fof(fc3_supinf_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k6_numbers))) ) => ( ~ v1_xboole_0(k5_supinf_1(A)) & v2_membered(k5_supinf_1(A)) ) ) )).
fof(fc3_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_tbsp_1(A) & l1_metric_1(A) ) => v6_tbsp_1(k2_struct_0(A),A) ) )).
fof(fc3_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k9_tdlat_1(A)) ) )).
fof(fc3_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(D,A,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k5_termord(A,B,C,D)) & v1_funct_2(k5_termord(A,B,C,D),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(k5_termord(A,B,C,D),A,C) & v3_polynom7(k5_termord(A,B,C,D),A,C) ) ) )).
fof(fc3_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_struct_0(k2_tex_1(A)) ) )).
fof(fc3_tex_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k1_tex_2(A,B)) & v1_pre_topc(k1_tex_2(A,B)) & v2_pre_topc(k1_tex_2(A,B)) ) ) )).
fof(fc3_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_subset_1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_subset_1(k2_pre_topc(A,B),u1_struct_0(A)) ) )).
fof(fc3_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ~ v2_tops_1(k3_tietze_2(A,B,k2_finseq_2(A,C)),k15_euclid(A)) ) )).
fof(fc3_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(k3_struct_0(A),A,A) ) ) )).
fof(fc3_topalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k4_topalg_1(A,B)) & v1_partfun1(k4_topalg_1(A,B),k2_topalg_1(A,B)) & v3_relat_2(k4_topalg_1(A,B)) & v8_relat_2(k4_topalg_1(A,B)) ) ) )).
fof(fc3_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_topmetr)) => ( v7_struct_0(k5_topalg_1(k5_topmetr,A)) & v15_algstr_0(k5_topalg_1(k5_topmetr,A)) ) ) )).
fof(fc3_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_topalg_3(A,B,C,D)) & v1_funct_2(k3_topalg_3(A,B,C,D),u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))) & v1_group_6(k3_topalg_3(A,B,C,D),k5_topalg_1(A,C),k5_topalg_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C))) ) ) )).
fof(fc3_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k11_topalg_4(A,B,C,D)) & v2_funct_1(k11_topalg_4(A,B,C,D)) & v1_funct_2(k11_topalg_4(A,B,C,D),u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D))))) & v2_funct_2(k11_topalg_4(A,B,C,D),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D))))) ) ) )).
fof(fc3_topalg_5,axiom,( v1_connsp_2(k17_borsuk_1) )).
fof(fc3_topalg_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v1_topalg_6(k15_euclid(A)) ) ) )).
fof(fc3_topalg_7,axiom,( v1_funct_1(k9_topalg_7) & v1_funct_2(k9_topalg_7,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k9_topalg_7,k2_borsuk_1(k3_topmetr,k3_topmetr),k3_topmetr) )).
fof(fc3_topdim_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v7_ordinal1(k2_topdim_1(A,B)) & v1_int_1(k2_topdim_1(A,B)) ) ) )).
fof(fc3_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & v5_waybel23(A) & v3_pcomps_1(A) & l1_pre_topc(A) & v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_topdim_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_topdim_1(k2_xboole_0(B,C),A) ) )).
fof(fc3_topgen_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k2_topgen_1(A,B),A) ) )).
fof(fc3_topgen_3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k6_topgen_3(A,B)) & v1_pre_topc(k6_topgen_3(A,B)) & v2_pre_topc(k6_topgen_3(A,B)) ) ) )).
fof(fc3_topgen_4,axiom,( ! [A] : ! [B] : ( ( v4_card_3(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v4_card_3(k7_setfam_1(A,B)) ) )).
fof(fc3_topgen_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v2_xxreal_0(B) ) => ( v1_funct_1(k4_topgen_5(A,B)) & v1_funct_2(k4_topgen_5(A,B),u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)) & v5_pre_topc(k4_topgen_5(A,B),k3_topgen_5,k5_topmetr) ) ) )).
fof(fc3_topgen_6,axiom,( ~ v2_struct_0(k1_topgen_6) & v1_pre_topc(k1_topgen_6) & v2_pre_topc(k1_topgen_6) & ~ v1_metrizts(k1_topgen_6) )).
fof(fc3_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k1_topgrp_1(A,B)) & v2_funct_1(k1_topgrp_1(A,B)) & v1_funct_2(k1_topgrp_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(k1_topgrp_1(A,B),u1_struct_0(A)) ) ) )).
fof(fc3_topmetr,axiom,( v3_topmetr(k17_borsuk_1) )).
fof(fc3_topreal1,axiom,( ~ v1_xboole_0(k1_topreal1) )).
fof(fc3_topreal6,axiom,( v2_connsp_1(k1_topreal1,k15_euclid(2)) )).
fof(fc3_topreal7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v8_metric_1(B) & l1_metric_1(B) ) => ( v1_metric_1(k1_topreal7(A,B)) & v8_metric_1(k1_topreal7(A,B)) ) ) )).
fof(fc3_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & v3_xxreal_0(C) ) => v1_xboole_0(k2_topreal9(A,B,C)) ) )).
fof(fc3_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k3_xxreal_1(A,k2_xcmplx_0(A,B))) ) )).
fof(fc3_toprealb,axiom,( ~ v1_xboole_0(k4_xxreal_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2))) )).
fof(fc3_toprealc,axiom,( v8_ordinal1(k3_square_1(k5_numbers)) & v1_xreal_0(k3_square_1(k5_numbers)) )).
fof(fc3_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc3_trees_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( ~ v1_xboole_0(k3_xboole_0(A,B)) & v1_trees_1(k3_xboole_0(A,B)) ) ) )).
fof(fc3_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) & m1_subset_1(C,k9_xtuple_0(B)) ) => ( v1_relat_1(k5_trees_2(B,C)) & v5_relat_1(k5_trees_2(B,C),A) & v1_funct_1(k5_trees_2(B,C)) & v3_trees_2(k5_trees_2(B,C)) ) ) )).
fof(fc3_trees_3,axiom,( v1_trees_3(k1_trees_3) )).
fof(fc3_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k5_trees_4(B,C)) & v5_relat_1(k5_trees_4(B,C),A) & v1_funct_1(k5_trees_4(B,C)) & v3_trees_2(k5_trees_4(B,C)) ) ) )).
fof(fc3_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v3_trees_9(A) ) => v1_trees_9(k9_xtuple_0(A)) ) )).
fof(fc3_triang_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ~ v2_setfam_1(k1_triang_1(A)) ) )).
fof(fc3_unialg_1,axiom,( ! [A] : ( ( v3_unialg_1(A) & l1_unialg_1(A) ) => v5_margrel1(u1_unialg_1(A),u1_struct_0(A)) ) )).
fof(fc3_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => v1_finset_1(k2_uniroots(A)) ) )).
fof(fc3_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v1_uproots(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k11_polynom3(A,B,C)) & v1_funct_2(k11_polynom3(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_uproots(k11_polynom3(A,B,C),A) ) ) )).
fof(fc3_urysohn1,axiom,( ~ v1_xboole_0(k3_urysohn1) )).
fof(fc3_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => v3_membered(k10_xtuple_0(A)) ) )).
fof(fc3_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v3_valued_0(k1_valued_1(A,B)) ) ) )).
fof(fc3_vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(B,u1_struct_0(A)) & v3_vectmetr(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(C,u1_struct_0(A)) & v3_vectmetr(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k3_relat_1(C,B)) & v1_funct_2(k3_relat_1(C,B),u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(k3_relat_1(C,B),u1_struct_0(A)) & v3_vectmetr(k3_relat_1(C,B),A) ) ) )).
fof(fc3_vectsp_1,axiom,( v8_algstr_0(k1_vectsp_1) & v13_algstr_0(k1_vectsp_1) & v2_rlvect_1(k1_vectsp_1) & v3_rlvect_1(k1_vectsp_1) & v4_rlvect_1(k1_vectsp_1) )).
fof(fc3_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_vfunct_1(A,B,C,D)) & v1_partfun1(k3_vfunct_1(A,B,C,D),A) ) ) )).
fof(fc3_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k6_vsdiff_1(A,B,C,D,E,F)) & v1_funct_2(k6_vsdiff_1(A,B,C,D,E,F),u1_struct_0(C),u1_struct_0(E)) ) ) )).
fof(fc3_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v17_waybel_0(k3_struct_0(A),A,A) & v18_waybel_0(k3_struct_0(A),A,A) ) ) )).
fof(fc3_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v1_waybel11(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel11(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc3_waybel14,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k5_waybel11(A)) ) )).
fof(fc3_waybel17,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( ~ v2_struct_0(k2_waybel17(A,B)) & v1_orders_2(k2_waybel17(A,B)) & v4_yellow_0(k2_waybel17(A,B),k6_yellow_1(A,B)) ) ) )).
fof(fc3_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ v2_struct_0(k7_waybel18(A,B,C)) ) )).
fof(fc3_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v2_struct_0(D) & v9_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( v6_waybel_0(k6_waybel_9(A,B,C,D),B) & v9_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) )).
fof(fc3_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_waybel22(A,B,C)) & v1_funct_2(k2_waybel22(A,B,C),u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B)) & v17_waybel_0(k2_waybel22(A,B,C),k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),B) ) ) )).
fof(fc3_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v2_waybel23(k5_waybel_0(A,B),A) ) )).
fof(fc3_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & v5_orders_3(D,k3_yellow_3(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k2_waybel24(A,B,C,D,E)) & v1_funct_2(k2_waybel24(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v5_orders_3(k2_waybel24(A,B,C,D,E),A,C) ) ) )).
fof(fc3_waybel25,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_pre_topc(A) ) => ( v2_struct_0(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc3_waybel26,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_waybel26(A,B)))) ) => ~ v1_xboole_0(k5_card_3(C,D)) ) )).
fof(fc3_waybel27,axiom,( ! [A] : ( ( v1_monoid_0(A) & l1_struct_0(A) ) => v4_funct_1(u1_struct_0(A)) ) )).
fof(fc3_waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_waybel_9(B) ) => ( v1_orders_2(k3_waybel24(A,B)) & v1_yellow_0(k3_waybel24(A,B)) ) ) )).
fof(fc3_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k2_waybel19(A)) ) )).
fof(fc3_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ~ v2_struct_0(k2_waybel32(A,B)) & v4_orders_2(k2_waybel32(A,B)) & v6_waybel_0(k2_waybel32(A,B),A) & v7_waybel_0(k2_waybel32(A,B)) ) ) )).
fof(fc3_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_waybel34(A,B,C)) & v1_funct_2(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B))) & v5_waybel_1(k3_waybel34(A,B,C),k7_lattice3(B),k7_lattice3(A)) ) ) )).
fof(fc3_waybel_0,axiom,( ! [A] : ( ( v2_lattice3(A) & l1_orders_2(A) ) => v2_waybel_0(k2_struct_0(A),A) ) )).
fof(fc3_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(k3_struct_0(A),A) ) ) )).
fof(fc3_waybel_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v24_waybel_0(k3_yellow_3(A,B)) ) ) )).
fof(fc3_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v13_waybel_0(k2_waybel_3(A,B),A) ) )).
fof(fc3_waybel_4,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => v3_waybel_4(k2_waybel_4(A),A) ) )).
fof(fc3_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v2_struct_0(C) & l1_orders_2(C) & m2_pboole(D,A,B,k7_funcop_1(A,u1_struct_0(C))) ) => ~ v1_xboole_0(k10_xtuple_0(k4_waybel_5(C,D))) ) )).
fof(fc3_waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & v5_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => v13_waybel_0(k6_waybel_4(A,C,B),A) ) )).
fof(fc3_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_waybel_8(A)) & v4_yellow_0(k1_waybel_8(A),A) & v6_yellow_0(k1_waybel_8(A),A) ) ) )).
fof(fc3_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( v4_orders_2(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C)) & v6_waybel_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C),A) ) ) )).
fof(fc3_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k7_group_3(A,B)) ) )).
fof(fc3_wellord2,axiom,( ! [A] : ( v1_relat_1(k1_wellord2(A)) & v4_relat_2(k1_wellord2(A)) ) )).
fof(fc3_xboole_0,axiom,( ! [A] : ! [B] : ~ v1_xboole_0(k2_tarski(A,B)) )).
fof(fc3_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k4_xboolean(A,B)) ) )).
fof(fc3_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => v1_xcmplx_0(k3_xcmplx_0(A,B)) ) )).
fof(fc3_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)) ) ) )).
fof(fc3_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : v3_xtuple_0(k6_xtuple_0(A,B,C,D)) )).
fof(fc3_xxreal_0,axiom,( v2_xxreal_0(k1_xxreal_0) )).
fof(fc3_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v2_membered(k3_xxreal_1(A,B)) ) )).
fof(fc3_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v1_xxreal_2(A) ) => ( v1_xxreal_0(k2_xxreal_2(A)) & v1_xreal_0(k2_xxreal_2(A)) ) ) )).
fof(fc3_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_xxreal_0(k3_xxreal_3(A,B)) & v1_xreal_0(k3_xxreal_3(A,B)) ) ) )).
fof(fc3_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v25_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc3_yellow11,axiom,( v1_orders_2(k2_yellow11) & v3_orders_2(k2_yellow11) & v4_orders_2(k2_yellow11) & v5_orders_2(k2_yellow11) )).
fof(fc3_yellow12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k4_waybel_2(A)) & v1_funct_2(k4_waybel_2(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & v17_waybel_0(k4_waybel_2(A),k3_yellow_3(A,A),A) ) ) )).
fof(fc3_yellow13,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k2_yellow_2(A)) & v2_funct_1(k2_yellow_2(A)) & v1_funct_2(k2_yellow_2(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)) ) ) )).
fof(fc3_yellow14,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ~ v1_xboole_0(k10_xtuple_0(k1_waybel_0(A,B))) ) )).
fof(fc3_yellow16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_yellow_1(A,B)))) ) => ~ v1_xboole_0(k5_card_3(D,C)) ) )).
fof(fc3_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k1_yellow18(A)) & v2_altcat_1(k1_yellow18(A)) & v6_altcat_1(k1_yellow18(A)) & v12_altcat_1(k1_yellow18(A)) ) ) )).
fof(fc3_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( v1_subset_1(k2_yellow19(A,B),u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(k2_yellow19(A,B),k2_yellow_1(k2_struct_0(A))) ) ) )).
fof(fc3_yellow20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & m1_altcat_2(B,A) ) => ( v9_functor0(k10_functor0(A,B),B,A) & v10_functor0(k10_functor0(A,B),B,A) ) ) )).
fof(fc3_yellow21,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(B) & v1_relat_2(B) ) => ( v1_relat_1(k3_relat_1(k3_relat_1(A,B),k2_funct_1(A))) & v1_relat_2(k3_relat_1(k3_relat_1(A,B),k2_funct_1(A))) ) ) )).
fof(fc3_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ( v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A)) & v1_yellow_0(k3_lattice3(A)) ) ) )).
fof(fc3_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k7_waybel_0(A)) ) )).
fof(fc3_yellow_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k3_yellow_3(A,B)) & v1_orders_2(k3_yellow_3(A,B)) ) ) )).
fof(fc3_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel_0(k1_yellow_4(A,B,C),A) ) )).
fof(fc3_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => v2_pralg_1(k2_funcop_1(A,B)) ) )).
fof(fc3_yellow_7,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v5_orders_2(k7_lattice3(A)) ) ) )).
fof(fc3_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k3_yellow_9(A,B)) & v3_orders_2(k3_yellow_9(A,B)) & v6_waybel_0(k3_yellow_9(A,B),A) ) ) )).
fof(fc3_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zf_lang) & m1_subset_1(B,k1_zf_lang) ) => v1_zf_lang(k4_zf_lang(A,B)) ) )).
fof(fc3_zfmisc_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => v1_xboole_0(k2_zfmisc_1(A,B)) ) )).
fof(fc3_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => v7_zmodul01(k1_tarski(k4_struct_0(A)),A) ) )).
fof(fc3_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_int_3) & v9_vectsp_1(A,k1_int_3) & v10_vectsp_1(A,k1_int_3) & v11_vectsp_1(A,k1_int_3) & l1_vectsp_1(A,k1_int_3) ) => ( ~ v2_struct_0(k17_zmodul02(A)) & v13_algstr_0(k17_zmodul02(A)) & v2_rlvect_1(k17_zmodul02(A)) & v3_rlvect_1(k17_zmodul02(A)) & v4_rlvect_1(k17_zmodul02(A)) & v1_zmodul01(k17_zmodul02(A)) & v2_zmodul01(k17_zmodul02(A)) & v3_zmodul01(k17_zmodul02(A)) & v4_zmodul01(k17_zmodul02(A)) & v5_zmodul01(k17_zmodul02(A)) ) ) )).
fof(fc3_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ( v1_zmodul01(k4_zmodul01(A)) & v1_zmodul03(k4_zmodul01(A)) ) ) )).
fof(fc3_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) & v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k7_zmodul01(A,B,C)) & v1_zmodul03(k7_zmodul01(A,B,C)) ) ) )).
fof(fc3_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_finset_1(k7_relat_1(B,C)) ) )).
fof(fc3_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v7_struct_0(k3_zmodul01(A)) & v1_zmodul01(k3_zmodul01(A)) ) ) )).
fof(fc40_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) ) => v1_finset_1(k63_abcmiz_1(A,B,C)) ) )).
fof(fc40_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k15_bilinear(A,B,C,D)) & v1_funct_2(k15_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & v2_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & v3_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & v4_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) ) ) )).
fof(fc40_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_rlvect_1(A) & l1_cayldick(A) ) => ( v6_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc40_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) & v7_ordinal1(D) & v1_relat_1(E) & v5_relat_1(E,A) & v1_funct_1(E) & v3_card_1(E,D) & v1_finseq_1(E) ) => ( v1_relat_1(k1_funct_1(k20_fomodel0(A,B,C),E)) & v1_funct_1(k1_funct_1(k20_fomodel0(A,B,C),E)) & v3_card_1(k1_funct_1(k20_fomodel0(A,B,C),E),D) & v1_finseq_1(k1_funct_1(k20_fomodel0(A,B,C),E)) ) ) )).
fof(fc40_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel1(k22_fomodel0(A),A) ) )).
fof(fc40_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v4_fomodel1(k8_fomodel1(A),A) ) )).
fof(fc40_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k35_fomodel1(A)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v15_fomodel1(k26_fomodel3(A,B,C,D),A) ) )).
fof(fc40_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(B,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),D),C)),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k34_fomodel4(A)),k1_tarski(k4_tarski(B,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D)))) ) )).
fof(fc40_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,k1_xboole_0)) & v4_relat_1(k13_glib_000(A,k3_glib_003,k1_xboole_0),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,k1_xboole_0)) & v1_finset_1(k13_glib_000(A,k3_glib_003,k1_xboole_0)) & v2_glib_003(k13_glib_000(A,k3_glib_003,k1_xboole_0)) ) ) )).
fof(fc40_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k12_member_1(B,A)) ) )).
fof(fc40_membered,axiom,( ! [A] : ! [B] : ( v5_membered(A) => v5_membered(k3_xboole_0(B,A)) ) )).
fof(fc40_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) & v1_funct_1(C) & v1_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v1_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc40_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v9_pcs_0(B) & v16_pcs_0(B) ) => ( v4_pcs_0(k17_pcs_0(A,B)) & v12_pcs_0(k17_pcs_0(A,B)) ) ) )).
fof(fc40_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => ~ v2_amistd_1(k15_scmfsa_2(B,A,C),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc40_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(C,B,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) & v2_relat_1(D) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k3_topmetr)) & v5_pre_topc(D,B,k3_topmetr) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) ) => ( v1_funct_1(k68_valued_2(u1_struct_0(k15_euclid(A)),C,D)) & v1_funct_2(k68_valued_2(u1_struct_0(k15_euclid(A)),C,D),u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(k68_valued_2(u1_struct_0(k15_euclid(A)),C,D),B,k15_euclid(A)) ) ) )).
fof(fc40_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) => v4_membered(k9_relat_1(A,B)) ) )).
fof(fc40_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & ~ v1_xboole_0(C) & v4_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k18_valued_1(D,E)) & v1_partfun1(k18_valued_1(D,E),A) ) ) )).
fof(fc40_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) ) ) )).
fof(fc40_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_xxreal_0(k6_xxreal_3(A,B)) & v1_xreal_0(k6_xxreal_3(A,B)) ) ) )).
fof(fc41_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & v15_abcmiz_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v1_funct_1(C) & v15_abcmiz_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( v1_funct_1(k65_abcmiz_1(A,B,C)) & v15_abcmiz_1(k65_abcmiz_1(A,B,C),A) ) ) )).
fof(fc41_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k16_bilinear(A,B,C,D)) & v1_funct_2(k16_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)) & v1_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v2_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v3_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v4_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) ) ) )).
fof(fc41_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_rlvect_1(A) & l1_cayldick(A) ) => ( v7_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc41_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) & v1_xboole_0(D) ) => v1_xboole_0(k1_funct_1(k20_fomodel0(A,B,C),D)) ) )).
fof(fc41_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & v16_fomodel1(B,A) & l1_fomodel1(B) ) => v1_xboole_0(k4_xboole_0(k37_fomodel1(A),k37_fomodel1(B))) ) )).
fof(fc41_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ v3_fomodel2(k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),C),A,k4_xxreal_0(k29_fomodel2(A,B),k29_fomodel2(A,C))) ) )).
fof(fc41_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v7_ordinal1(D) ) => ( v1_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D))) & v5_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)) ) ) )).
fof(fc41_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_fomodel4(B,A) ) => v3_fomodel4(k1_xtuple_0(B),A) ) )).
fof(fc41_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,k1_xboole_0)) & v4_relat_1(k13_glib_000(A,k4_glib_003,k1_xboole_0),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,k1_xboole_0)) & v1_finset_1(k13_glib_000(A,k4_glib_003,k1_xboole_0)) & v3_glib_003(k13_glib_000(A,k4_glib_003,k1_xboole_0)) ) ) )).
fof(fc41_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => v2_membered(k12_member_1(A,B)) ) )).
fof(fc41_membered,axiom,( ! [A] : ! [B] : ( v6_membered(A) => v6_membered(k3_xboole_0(A,B)) ) )).
fof(fc41_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v3_xxreal_0(B) & v1_funct_1(C) & v2_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) & v1_partfun3(k24_valued_1(C,B)) ) ) )).
fof(fc41_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pcs_0(B) & v16_pcs_0(B) ) => ( v6_pcs_0(k17_pcs_0(A,B)) & v12_pcs_0(k17_pcs_0(A,B)) ) ) )).
fof(fc41_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => ~ v1_amistd_1(k4_xtuple_0(k16_scmfsa_2(A,B)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc41_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) => v5_membered(k9_relat_1(A,B)) ) )).
fof(fc41_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & ~ v1_xboole_0(C) & v5_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k18_valued_1(D,E)) & v1_partfun1(k18_valued_1(D,E),A) ) ) )).
fof(fc41_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v8_valued_2(A) ) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) ) ) )).
fof(fc41_xxreal_3,axiom,( v8_ordinal1(k5_xxreal_3(k2_xxreal_0)) & v1_xxreal_0(k5_xxreal_3(k2_xxreal_0)) )).
fof(fc42_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k15_bilinear(A,B,C,D)) & v1_funct_2(k15_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(C)),u1_struct_0(A)) & v2_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & v4_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) & ~ v5_bilinear(k15_bilinear(A,B,C,D),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C) ) ) )).
fof(fc42_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_rlvect_1(A) & l1_cayldick(A) ) => ( v8_rlvect_1(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc42_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_relat_1(k8_fomodel0(A)) & v1_funct_1(k8_fomodel0(A)) & v1_pre_poly(k8_fomodel0(A)) ) ) )).
fof(fc42_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_fomodel1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( ~ v2_struct_0(k40_fomodel1(B,A)) & v1_fomodel1(k40_fomodel1(B,A)) & v16_fomodel1(k40_fomodel1(B,A),A) ) ) )).
fof(fc42_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ~ v3_fomodel2(k7_finseq_1(k43_fomodel1(A,C),B),A,k29_fomodel2(A,B)) ) )).
fof(fc42_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ( v1_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A),B,C),k35_fomodel1(A))) & v5_relat_1(k5_relat_1(k20_fomodel0(k1_fomodel1(A),B,C),k35_fomodel1(A)),k35_fomodel1(A)) ) ) )).
fof(fc42_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) & v3_fomodel4(E,A) & v4_fomodel1(F,A) & ~ v7_fomodel2(F,k2_xboole_0(k2_xboole_0(E,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B)),k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),C)),A) & m1_subset_1(F,k1_fomodel1(A)) ) => v5_fomodel4(k4_tarski(k13_fomodel0(F,k2_xboole_0(E,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k42_fomodel1(A,k43_fomodel1(A,D),B)))),C),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k32_fomodel4(A)),k1_tarski(k4_tarski(k2_xboole_0(E,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k24_fomodel3(A,D,F,B))),C))) ) )).
fof(fc42_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v2_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k12_member_1(A,B)) ) )).
fof(fc42_membered,axiom,( ! [A] : ! [B] : ( v6_membered(A) => v6_membered(k3_xboole_0(B,A)) ) )).
fof(fc42_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & v1_xreal_0(B) & v2_relat_1(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k24_valued_1(C,B)) & v2_relat_1(k24_valued_1(C,B)) & v1_funct_1(k24_valued_1(C,B)) ) ) )).
fof(fc42_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => ~ v1_amistd_1(k4_xtuple_0(k17_scmfsa_2(A,B)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc42_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => v6_membered(k9_relat_1(A,B)) ) )).
fof(fc42_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v6_membered(B) & ~ v1_xboole_0(C) & v6_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k18_valued_1(D,E)) & v1_partfun1(k18_valued_1(D,E),A) ) ) )).
fof(fc42_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_valued_2(A) ) => v1_valued_0(k1_funct_1(A,B)) ) )).
fof(fc42_xxreal_3,axiom,( v8_ordinal1(k5_xxreal_3(k1_xxreal_0)) & v1_xxreal_0(k5_xxreal_3(k1_xxreal_0)) )).
fof(fc43_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k16_bilinear(A,B,C,D)) & v1_funct_2(k16_bilinear(A,B,C,D),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)) & v1_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v3_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & ~ v6_bilinear(k16_bilinear(A,B,C,D),A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) ) ) )).
fof(fc43_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_normsp_0(A) & v3_lopban_2(A) & l1_cayldick(A) ) => ( v3_lopban_2(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc43_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v3_card_1(D,k2_xcmplx_0(B,C)) & v1_finseq_1(D) ) => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D,B)),A)) ) )).
fof(fc43_fomodel1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_xboole_0(A) ) => ( v1_relat_1(k6_relat_1(B,A)) & v1_xboole_0(k6_relat_1(B,A)) ) ) )).
fof(fc43_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => v3_fomodel2(k7_finseq_1(k43_fomodel1(A,C),B),A,k2_xcmplx_0(1,k29_fomodel2(A,B))) ) )).
fof(fc43_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v7_ordinal1(D) & m1_subset_1(E,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) & v4_fomodel2(F,A) & m1_subset_1(F,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel2(k28_fomodel3(A,B,C,D,E,F),A) ) )).
fof(fc43_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v3_fomodel4(C,B) & v3_fomodel4(D,B) & v4_fomodel2(E,B) & m1_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k13_fomodel0(A,k2_xboole_0(C,D)),E),A,B,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k25_fomodel4(B)),k1_tarski(k4_tarski(C,E))) ) )).
fof(fc43_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k13_member_1(A,B)) ) )).
fof(fc43_membered,axiom,( ! [A] : ! [B] : ( v1_membered(A) => v1_membered(k4_xboole_0(A,B)) ) )).
fof(fc43_pcs_0,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v2_pralg_1(k18_pcs_0(A,B)) ) ) )).
fof(fc43_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => ~ v2_amistd_1(k16_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc43_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_xreal_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(D,B,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k41_valued_2(u1_struct_0(k15_euclid(A)),D,C)) & v1_funct_2(k41_valued_2(u1_struct_0(k15_euclid(A)),D,C),u1_struct_0(B),u1_struct_0(k15_euclid(A))) & v5_pre_topc(k41_valued_2(u1_struct_0(k15_euclid(A)),D,C),B,k15_euclid(A)) ) ) )).
fof(fc43_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_valued_0(k5_relat_1(A,B)) ) ) )).
fof(fc43_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k18_valued_1(A,B)) & v1_funct_1(k18_valued_1(A,B)) & v1_finseq_1(k18_valued_1(A,B)) ) ) )).
fof(fc43_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v8_valued_2(A) ) => v2_valued_0(k1_funct_1(A,B)) ) )).
fof(fc43_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v7_ordinal1(k1_xxreal_3(A,B)) & v1_xxreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc44_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_funcsdom(A) & v4_lopban_2(A) & v6_cayldick(A) & l1_cayldick(A) ) => ( v4_lopban_2(k4_cayldick(A)) & v1_cayldick(k4_cayldick(A)) ) ) )).
fof(fc44_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v3_card_1(D,k2_xcmplx_0(k2_xcmplx_0(B,1),C)) & m1_subset_1(D,k3_finseq_2(A)) ) => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D,k2_xcmplx_0(B,1))),A)) ) )).
fof(fc44_fomodel1,axiom,( ! [A] : ! [B] : ( v1_int_1(B) => ( v1_relat_1(k2_funcop_1(A,B)) & v5_relat_1(k2_funcop_1(A,B),k4_numbers) & v1_funct_1(k2_funcop_1(A,B)) ) ) )).
fof(fc44_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & v3_fomodel2(C,A,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v3_fomodel2(k35_fomodel2(A,C),A,k1_nat_1(B,1)) ) )).
fof(fc44_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel2(k37_fomodel3(A,B,C,D),A) ) )).
fof(fc44_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k32_fomodel4(A),A) ) )).
fof(fc44_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v3_valued_0(B) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B)) & v4_relat_1(k13_glib_000(A,k3_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,B)) & v1_finset_1(k13_glib_000(A,k3_glib_003,B)) & v9_glib_003(k13_glib_000(A,k3_glib_003,B)) ) ) )).
fof(fc44_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k13_member_1(B,A)) ) )).
fof(fc44_membered,axiom,( ! [A] : ! [B] : ( v2_membered(A) => v2_membered(k4_xboole_0(A,B)) ) )).
fof(fc44_pcs_0,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_yellow_1(k18_pcs_0(A,B)) ) ) )).
fof(fc44_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => ~ v2_amistd_1(k17_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc44_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_valued_0(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_valued_0(k5_relat_1(A,B)) ) ) )).
fof(fc44_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v1_valued_0(k24_valued_1(A,B)) ) ) )).
fof(fc44_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v9_valued_2(A) ) => v3_valued_0(k1_funct_1(A,B)) ) )).
fof(fc44_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v7_ordinal1(k4_xxreal_3(A,B)) & v1_xxreal_0(k4_xxreal_3(A,B)) ) ) )).
fof(fc45_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k16_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D))) & v1_funct_2(k16_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)),k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,C,D))),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D))))),u1_struct_0(A)) & v1_bilinear(k16_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)))) & v3_bilinear(k16_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)))) & ~ v5_bilinear(k16_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)))) & ~ v6_bilinear(k16_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),k6_vectsp10(A,C,k14_bilinear(A,k6_vectsp10(A,B,k13_bilinear(A,B,C,D)),C,k15_bilinear(A,B,C,D)))) ) ) )).
fof(fc45_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v5_vectsp_1(A) & v3_cayldick(A) & l1_cayldick(A) ) => ( v1_cayldick(k4_cayldick(A)) & v3_cayldick(k4_cayldick(A)) ) ) )).
fof(fc45_fomodel0,axiom,( ! [A] : v1_xboole_0(k5_xboole_0(k9_finseq_1(A),k1_tarski(k4_tarski(1,A)))) )).
fof(fc45_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_funct_1(B) ) => ~ v1_finset_1(k4_xboole_0(k16_fomodel1(k41_fomodel1(A,B)),k21_fomodel0(B))) ) )).
fof(fc45_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel2(k35_fomodel2(A,B),A) ) )).
fof(fc45_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) & v13_fomodel1(D,B) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & v3_fomodel2(E,B,A) & m1_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => v3_fomodel2(k37_fomodel3(B,C,D,E),B,A) ) )).
fof(fc45_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k37_fomodel3(A,B,C,D)),k42_fomodel1(A,k43_fomodel1(A,B),D)),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k31_fomodel4(A)),k1_xboole_0) ) )).
fof(fc45_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k13_member_1(A,B)) ) )).
fof(fc45_membered,axiom,( ! [A] : ! [B] : ( v3_membered(A) => v3_membered(k4_xboole_0(A,B)) ) )).
fof(fc45_pcs_0,axiom,( ! [A] : ! [B] : ( ( l1_pcs_0(A) & l1_pcs_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v7_pcs_0(k18_pcs_0(A,B)) ) ) )).
fof(fc45_scmfsa10,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v2_amistd_2(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc45_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & ~ v3_xxreal_0(B) & v3_pre_topc(C,k7_toprealb(k2_xcmplx_0(A,1),k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))),B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_toprealb(k2_xcmplx_0(A,1),k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))),B)))) ) => v3_pre_topc(k2_toprealc(C),k7_toprealb(k2_xcmplx_0(A,1),k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))),B)) ) )).
fof(fc45_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v3_valued_0(k5_relat_1(A,B)) ) ) )).
fof(fc45_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v3_valued_0(k24_valued_1(A,B)) ) ) )).
fof(fc45_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v10_valued_2(A) ) => v5_relat_1(k1_funct_1(A,B),k3_numbers) ) )).
fof(fc45_xxreal_3,axiom,( v1_xxreal_0(k2_xxreal_3(1)) & v2_int_1(k2_xxreal_3(1)) )).
fof(fc46_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ( v1_funct_1(k15_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D))) & v1_funct_2(k15_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D)),k2_zfmisc_1(u1_struct_0(k6_vectsp10(A,B,k13_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D)))),u1_struct_0(k6_vectsp10(A,C,k14_bilinear(A,B,C,D)))),u1_struct_0(A)) & v2_bilinear(k15_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D))),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & v4_bilinear(k15_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D))),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & ~ v5_bilinear(k15_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D))),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) & ~ v6_bilinear(k15_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D)),A,k6_vectsp10(A,B,k13_bilinear(A,B,k6_vectsp10(A,C,k14_bilinear(A,B,C,D)),k16_bilinear(A,B,C,D))),k6_vectsp10(A,C,k14_bilinear(A,B,C,D))) ) ) )).
fof(fc46_cayldick,axiom,( v3_group_1(k4_cayldick(k3_cayldick)) & v5_group_1(k4_cayldick(k3_cayldick)) & v1_cayldick(k4_cayldick(k3_cayldick)) )).
fof(fc46_fomodel0,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,k2_xcmplx_0(A,1)) & v1_finseq_1(B) ) => v1_xboole_0(k5_xboole_0(k7_finseq_1(k5_relat_1(B,k2_finseq_1(A)),k9_finseq_1(k1_funct_1(B,k2_xcmplx_0(A,1)))),B)) ) )).
fof(fc46_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v1_orders_4(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v4_card_3(k1_fomodel1(A)) ) )).
fof(fc46_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v9_fomodel1(k7_fomodel1(A),A) ) )).
fof(fc46_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(E,A) & m1_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k13_fomodel0(k42_fomodel1(A,D,E),B),k35_fomodel2(A,C)),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k35_fomodel4(A)),k2_tarski(k4_tarski(k2_xboole_0(B,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),C)),D),k4_tarski(k2_xboole_0(B,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),C)),k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),D),E)))) ) )).
fof(fc46_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k6_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k6_glib_000(A)) & v3_valued_0(B) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,B)) & v4_relat_1(k13_glib_000(A,k4_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,B)) & v1_finset_1(k13_glib_000(A,k4_glib_003,B)) & v10_glib_003(k13_glib_000(A,k4_glib_003,B)) ) ) )).
fof(fc46_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => v1_membered(k13_member_1(A,B)) ) )).
fof(fc46_membered,axiom,( ! [A] : ! [B] : ( v4_membered(A) => v4_membered(k4_xboole_0(A,B)) ) )).
fof(fc46_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & l2_pcs_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v16_pcs_0(k18_pcs_0(A,B)) ) ) )).
fof(fc46_scmfsa10,axiom,( v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) & v4_amistd_2(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc46_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) => ( v1_relat_1(k5_relat_1(A,B)) & v5_relat_1(k5_relat_1(A,B),k3_numbers) ) ) )).
fof(fc46_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_rat_1(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v5_relat_1(k24_valued_1(A,B),k3_numbers) & v1_funct_1(k24_valued_1(A,B)) ) ) )).
fof(fc46_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v11_valued_2(A) ) => v5_relat_1(k1_funct_1(A,B),k4_numbers) ) )).
fof(fc46_xxreal_3,axiom,( ! [A] : ( v2_int_1(A) => ( v7_ordinal1(k1_xxreal_3(A,1)) & v1_xxreal_0(k1_xxreal_3(A,1)) ) ) )).
fof(fc47_cayldick,axiom,( v3_group_1(k4_cayldick(k4_cayldick(k3_cayldick))) & ~ v5_group_1(k4_cayldick(k4_cayldick(k3_cayldick))) & v1_cayldick(k4_cayldick(k4_cayldick(k3_cayldick))) )).
fof(fc47_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,k2_xcmplx_0(A,B)) & v1_finseq_1(C) ) => ( v1_relat_1(k5_relat_1(C,k2_finseq_1(A))) & v1_funct_1(k5_relat_1(C,k2_finseq_1(A))) & v3_card_1(k5_relat_1(C,k2_finseq_1(A)),A) & v1_finseq_1(k5_relat_1(C,k2_finseq_1(A))) ) ) )).
fof(fc47_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v1_orders_4(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v4_card_3(k4_xboole_0(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(fc47_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k31_fomodel4(A),A) ) )).
fof(fc47_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,k1_xboole_0)) & v4_relat_1(k13_glib_000(A,k3_glib_003,k1_xboole_0),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,k1_xboole_0)) & v1_finset_1(k13_glib_000(A,k3_glib_003,k1_xboole_0)) & v9_glib_003(k13_glib_000(A,k3_glib_003,k1_xboole_0)) ) ) )).
fof(fc47_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v3_membered(B) ) => v3_membered(k13_member_1(A,B)) ) )).
fof(fc47_membered,axiom,( ! [A] : ! [B] : ( v5_membered(A) => v5_membered(k4_xboole_0(A,B)) ) )).
fof(fc47_pcs_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & l2_pcs_0(A) & v3_orders_2(B) & l2_pcs_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v5_waybel_3(k18_pcs_0(A,B)) ) ) )).
fof(fc47_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) => ( v1_relat_1(k5_relat_1(A,B)) & v5_relat_1(k5_relat_1(A,B),k4_numbers) ) ) )).
fof(fc47_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_int_1(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v5_relat_1(k24_valued_1(A,B),k4_numbers) & v1_funct_1(k24_valued_1(A,B)) ) ) )).
fof(fc47_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v12_valued_2(A) ) => v4_valued_0(k1_funct_1(A,B)) ) )).
fof(fc48_bilinear,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k1_bilinear(A,B,B)) & v1_funct_2(k1_bilinear(A,B,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v7_bilinear(k1_bilinear(A,B,B),A,B) ) ) )).
fof(fc48_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_relat_1(C) & v4_relat_1(C,A) & v1_partfun1(C,A) ) => ( v1_relat_1(k5_relat_1(C,B)) & v4_relat_1(k5_relat_1(C,B),B) & v1_partfun1(k5_relat_1(C,B),B) ) ) )).
fof(fc48_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v1_xboole_0(k4_xboole_0(k32_fomodel1(A),k30_fomodel2(A))) ) )).
fof(fc48_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v3_card_1(C,B) & m1_subset_1(C,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) & v3_card_1(D,B) & m1_subset_1(D,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => v1_finset_1(k37_fomodel4(A,B,C,D)) ) )).
fof(fc48_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,k1_xboole_0)) & v4_relat_1(k13_glib_000(A,k4_glib_003,k1_xboole_0),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,k1_xboole_0)) & v1_finset_1(k13_glib_000(A,k4_glib_003,k1_xboole_0)) & v10_glib_003(k13_glib_000(A,k4_glib_003,k1_xboole_0)) ) ) )).
fof(fc48_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v4_membered(B) ) => v4_membered(k13_member_1(A,B)) ) )).
fof(fc48_membered,axiom,( ! [A] : ! [B] : ( v6_membered(A) => v6_membered(k4_xboole_0(A,B)) ) )).
fof(fc48_pcs_0,axiom,( ! [A] : ! [B] : ( ( v4_orders_2(A) & l2_pcs_0(A) & v4_orders_2(B) & l2_pcs_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_pcs_0(k18_pcs_0(A,B)) ) ) )).
fof(fc48_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v4_valued_0(k5_relat_1(A,B)) ) ) )).
fof(fc48_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v7_ordinal1(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v4_valued_0(k24_valued_1(A,B)) ) ) )).
fof(fc48_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v9_valued_2(A) ) => ( v1_relat_1(k1_binop_1(A,B,C)) & v1_funct_1(k1_binop_1(A,B,C)) & v3_valued_0(k1_binop_1(A,B,C)) ) ) )).
fof(fc49_bilinear,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k1_bilinear(A,B,B)) & v1_funct_2(k1_bilinear(A,B,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v8_bilinear(k1_bilinear(A,B,B),A,B) ) ) )).
fof(fc49_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) ) => v1_xboole_0(k5_xboole_0(k1_funct_1(k5_relat_1(A,B),C),k1_funct_1(A,C))) ) )).
fof(fc49_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v1_orders_4(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_funct_1(B) ) => v1_orders_4(k41_fomodel1(A,B)) ) )).
fof(fc49_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & v5_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_xboole_0(k38_fomodel2(A,B)) ) )).
fof(fc49_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v3_card_1(C,k1_int_2(k19_fomodel1(A,B))) & m1_subset_1(C,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) & v3_card_1(D,k1_int_2(k19_fomodel1(A,B))) & m1_subset_1(D,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => v4_fomodel4(k1_tarski(k4_tarski(k2_xboole_0(k38_fomodel4(A,k1_int_2(k19_fomodel1(A,B)),C,D),k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k1_fomodel3(A,B,C))),k1_fomodel3(A,B,D))),A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k30_fomodel4(A)),k1_xboole_0) ) )).
fof(fc49_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & v1_xreal_0(C) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) & v4_relat_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C)),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) & v1_finset_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) & v3_glib_003(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) ) ) )).
fof(fc49_member_1,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v5_membered(B) ) => v5_membered(k13_member_1(A,B)) ) )).
fof(fc49_membered,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => v1_membered(k5_xboole_0(A,B)) ) )).
fof(fc49_pcs_0,axiom,( ! [A] : ! [B] : ( ( v4_pcs_0(A) & l2_pcs_0(A) & v4_pcs_0(B) & l2_pcs_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v9_pcs_0(k18_pcs_0(A,B)) ) ) )).
fof(fc49_valued_0,axiom,( ! [A] : ( v1_membered(A) => ( v1_relat_1(k4_relat_1(A)) & v1_valued_0(k4_relat_1(A)) ) ) )).
fof(fc49_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => ( v1_funct_1(k24_valued_1(C,D)) & v1_partfun1(k24_valued_1(C,D),A) ) ) )).
fof(fc49_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k14_valued_2(A,B)) & v1_funct_1(k14_valued_2(A,B)) & v1_valued_0(k14_valued_2(A,B)) ) ) )).
fof(fc4_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(E) & v1_funct_2(E,A,k5_finsub_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => ( ~ v4_abcmiz_0(g2_abcmiz_0(A,B,C,D,E)) & v7_abcmiz_0(g2_abcmiz_0(A,B,C,D,E)) ) ) )).
fof(fc4_abcmiz_1,axiom,( ~ v1_xboole_0(k4_abcmiz_1) )).
fof(fc4_abian,axiom,( ! [A] : ( ( v1_int_1(A) & v1_abian(A) ) => ~ v1_abian(k6_xcmplx_0(A,1)) ) )).
fof(fc4_afinsq_1,axiom,( ! [A] : ~ v1_xboole_0(k3_afinsq_1(A)) )).
fof(fc4_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_valued_0(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v5_ordinal1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) ) ) )).
fof(fc4_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v2_tdgroup(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v8_algstr_0(k5_afvect0(A,B)) & v12_vectsp_1(k5_afvect0(A,B)) ) ) )).
fof(fc4_algstr_1,axiom,( v21_algstr_0(k8_algstr_0) & v4_vectsp_1(k8_algstr_0) & v5_algstr_1(k8_algstr_0) )).
fof(fc4_algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ v2_struct_0(k4_algstr_4(A,B)) ) )).
fof(fc4_altcat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) ) => ( v1_relat_1(k2_funct_4(B)) & v4_relat_1(k2_funct_4(B),k2_zfmisc_1(A,A)) & v1_funct_1(k2_funct_4(B)) & v1_partfun1(k2_funct_4(B),k2_zfmisc_1(A,A)) ) ) )).
fof(fc4_altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_altcat_3(C,A,B,B) & m1_subset_1(C,k1_altcat_1(A,B,B)) & v1_altcat_3(D,A,B,B) & m1_subset_1(D,k1_altcat_1(A,B,B)) ) => v1_altcat_3(k5_altcat_1(A,B,B,B,D,C),A,B,B) ) )).
fof(fc4_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k1_altcat_4(A)) & v2_altcat_1(k1_altcat_4(A)) & v6_altcat_1(k1_altcat_4(A)) & v3_altcat_2(k1_altcat_4(A),A) ) ) )).
fof(fc4_altcat_5,axiom,( ~ v2_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))) & v6_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) & v10_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0))) & v4_altcat_5(k7_altcat_1(k1_tarski(k1_xboole_0))) )).
fof(fc4_ami_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => v7_ordinal1(k5_xxreal_0(A,B,C,D)) ) )).
fof(fc4_ami_3,axiom,( v3_memstr_0(k1_ami_3,k5_card_1(2)) & v1_extpro_1(k1_ami_3,k5_card_1(2)) )).
fof(fc4_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_amistd_1(k4_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc4_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v2_memstr_0(k4_amistd_1(A),A) & v1_extpro_1(k4_amistd_1(A),A) ) ) )).
fof(fc4_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k1_extpro_1(A),A) & v2_amistd_2(k1_extpro_1(A),A) ) ) )).
fof(fc4_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & v2_amistd_5(k4_amistd_1(A),A) & v3_amistd_5(k4_amistd_1(A),A) ) ) )).
fof(fc4_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( ~ v7_struct_0(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_analoaf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v1_diraf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) & v2_diraf(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(fc4_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) & l1_rlvect_1(A) ) => ( v1_collsp(k5_anproj_1(A)) & v3_anproj_2(k5_anproj_1(A)) ) ) )).
fof(fc4_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v7_ordinal1(C) ) => ( v1_funct_1(k2_funcop_1(k4_finseq_2(C,A),B)) & v2_margrel1(k2_funcop_1(k4_finseq_2(C,A),B)) & v8_comput_1(k2_funcop_1(k4_finseq_2(C,A),B),C) ) ) )).
fof(fc4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( v1_relat_1(k6_aofa_a00(A,B,C,D,E,F,G)) & v1_funct_1(k6_aofa_a00(A,B,C,D,E,F,G)) & v3_card_1(k6_aofa_a00(A,B,C,D,E,F,G),7) & v1_finseq_1(k6_aofa_a00(A,B,C,D,E,F,G)) ) )).
fof(fc4_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) ) => ( v2_relat_1(u4_aofa_a00(A,B,C,D)) & v2_aofa_a01(u4_aofa_a00(A,B,C,D),A,B,C) ) ) )).
fof(fc4_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( v1_relat_1(k1_funct_4(C,k5_relat_1(A,B))) & v1_funct_1(k1_funct_4(C,k5_relat_1(A,B))) & v1_aofa_l00(k1_funct_4(C,k5_relat_1(A,B)),A) ) ) )).
fof(fc4_armstrng,axiom,( ! [A] : ( v1_partfun1(k7_armstrng(A),k4_armstrng(A)) & v1_relat_2(k7_armstrng(A)) & v4_relat_2(k7_armstrng(A)) & v8_relat_2(k7_armstrng(A)) ) )).
fof(fc4_asympt_1,axiom,( v1_funct_1(k1_seq_1(1)) & v1_funct_2(k1_seq_1(1),k4_ordinal1,k1_numbers) & v2_asympt_0(k1_seq_1(1)) )).
fof(fc4_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => v1_msualg_3(k2_msualg_3(A,B)) ) )).
fof(fc4_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_2(B,A) ) => ~ v2_struct_0(k9_bcialg_2(A,B)) ) )).
fof(fc4_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m4_bcialg_2(D,A,C) ) => ~ v2_struct_0(k9_bcialg_6(A,B,C,D)) ) )).
fof(fc4_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ( v1_funct_1(k1_bilinear(A,B,C)) & v1_funct_2(k1_bilinear(A,B,C),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v4_bilinear(k1_bilinear(A,B,C),A,B,C) ) ) )).
fof(fc4_binop_2,axiom,( v1_funct_1(k11_binop_2) & v1_funct_2(k11_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_binop_1(k11_binop_2,k1_numbers) & v2_binop_1(k11_binop_2,k1_numbers) )).
fof(fc4_borsuk_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_struct_0(k2_borsuk_1(B,A)) & v1_pre_topc(k2_borsuk_1(B,A)) & v2_pre_topc(k2_borsuk_1(B,A)) ) ) )).
fof(fc4_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & v5_pre_topc(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & v5_pre_topc(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( v1_funct_1(k15_funct_3(E,F)) & v1_funct_2(k15_funct_3(E,F),u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(k2_borsuk_1(C,D))) & v5_pre_topc(k15_funct_3(E,F),k2_borsuk_1(A,B),k2_borsuk_1(C,D)) ) ) )).
fof(fc4_borsuk_3,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v1_compts_1(k2_borsuk_1(A,B)) ) ) )).
fof(fc4_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k2_xcmplx_0(A,B)) ) )).
fof(fc4_borsuk_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & m1_pre_topc(A,k2_borsuk_1(k5_topmetr,k5_topmetr)) & m1_subset_1(B,u1_struct_0(A)) ) => v1_xreal_0(k2_xtuple_0(B)) ) )).
fof(fc4_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_connsp_1(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v1_connsp_1(k7_waybel18(A,B,C)) ) )).
fof(fc4_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v1_topalg_2(k2_brouwer(A,B,C),A) ) )).
fof(fc4_bspace,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k8_bspace(A)) ) )).
fof(fc4_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k11_bvfunc_1(A)) & v3_funct_1(k11_bvfunc_1(A)) & v1_funct_2(k11_bvfunc_1(A),A,k5_margrel1) ) ) )).
fof(fc4_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_struct_0(k11_c0sp1(A)) ) )).
fof(fc4_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k3_c0sp2(A)) & v1_funcsdom(k3_c0sp2(A)) ) ) )).
fof(fc4_card_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) ) ) )).
fof(fc4_card_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v2_finset_1(A) ) => v1_finset_1(k4_card_3(A)) ) )).
fof(fc4_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v4_funct_1(k4_card_3(A)) ) )).
fof(fc4_card_5,axiom,( ! [A] : ! [B] : ( ( v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) ) => ( ~ v1_finset_1(k1_card_2(A,B)) & v1_card_1(k1_card_2(A,B)) ) ) )).
fof(fc4_cardfin2,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_relat_1(k24_valued_1(B,A)) & v5_relat_1(k24_valued_1(B,A),k4_numbers) & v5_ordinal1(k24_valued_1(B,A)) & v1_funct_1(k24_valued_1(B,A)) & v1_finset_1(k24_valued_1(B,A)) ) ) )).
fof(fc4_cat_4,axiom,( ! [A] : ! [B] : ( ~ v2_struct_0(k23_cat_4(A,B)) & ~ v11_struct_0(k23_cat_4(A,B)) & v2_cat_1(k23_cat_4(A,B)) & v3_cat_1(k23_cat_4(A,B)) & v4_cat_1(k23_cat_4(A,B)) & v5_cat_1(k23_cat_4(A,B)) & v6_cat_1(k23_cat_4(A,B)) & v5_cat_4(k23_cat_4(A,B)) ) )).
fof(fc4_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => ~ v1_xboole_0(k6_cat_6(A)) ) )).
fof(fc4_catalg_1,axiom,( ! [A] : ( v1_msualg_1(k2_catalg_1(A)) & v3_catalg_1(k2_catalg_1(A)) ) )).
fof(fc4_cayldick,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v2_relat_1(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & v5_ordinal1(k1_ordinal4(A,B)) ) ) )).
fof(fc4_cayley,axiom,( ! [A] : ( ~ v2_struct_0(k2_cayley(A)) & v15_algstr_0(k2_cayley(A)) & v2_group_1(k2_cayley(A)) & v3_group_1(k2_cayley(A)) & v1_monoid_0(k2_cayley(A)) ) )).
fof(fc4_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_struct_0(k7_cc0sp1(A)) ) )).
fof(fc4_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k3_cc0sp2(A)) & v13_algstr_0(k3_cc0sp2(A)) & v2_rlvect_1(k3_cc0sp2(A)) & v3_rlvect_1(k3_cc0sp2(A)) & v4_rlvect_1(k3_cc0sp2(A)) & v1_vectsp_1(k3_cc0sp2(A)) & v3_vectsp_1(k3_cc0sp2(A)) & v3_group_1(k3_cc0sp2(A)) & v5_group_1(k3_cc0sp2(A)) & v2_clvect_1(k3_cc0sp2(A)) & v3_clvect_1(k3_cc0sp2(A)) & v4_clvect_1(k3_cc0sp2(A)) & v1_cfuncdom(k3_cc0sp2(A)) & v2_cfuncdom(k3_cc0sp2(A)) ) ) )).
fof(fc4_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v3_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v3_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k45_valued_1(A,B)) & v1_partfun1(k45_valued_1(A,B),k2_numbers) & v3_cfdiff_1(k45_valued_1(A,B)) ) ) )).
fof(fc4_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k6_cfuncdom(A)) & v13_algstr_0(k6_cfuncdom(A)) & v2_rlvect_1(k6_cfuncdom(A)) & v3_rlvect_1(k6_cfuncdom(A)) & v4_rlvect_1(k6_cfuncdom(A)) & v1_clvect_1(k6_cfuncdom(A)) & v2_clvect_1(k6_cfuncdom(A)) & v3_clvect_1(k6_cfuncdom(A)) & v4_clvect_1(k6_cfuncdom(A)) & v5_clvect_1(k6_cfuncdom(A)) ) ) )).
fof(fc4_cgames_1,axiom,( v1_xboole_0(k7_cgames_1(k3_cgames_1)) )).
fof(fc4_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => v1_xtuple_0(k3_circcmb3(A)) ) )).
fof(fc4_circtrm1,axiom,( ! [A] : ! [B] : ( ( v3_trees_3(A) & v3_trees_3(B) ) => v3_trees_3(k2_xboole_0(A,B)) ) )).
fof(fc4_classes2,axiom,( ! [A] : ( v3_ordinal1(A) => v1_classes2(k1_classes1(A)) ) )).
fof(fc4_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( v13_algstr_0(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v2_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v3_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v4_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v1_clvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v2_clvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v3_clvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v4_clvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) & v5_clvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) ) ) )).
fof(fc4_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( ~ v2_struct_0(k8_clopban2(A)) & v1_cfuncdom(k8_clopban2(A)) ) ) )).
fof(fc4_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v6_closure1(B,A) & l1_closure1(B,A) ) => v1_mssubfam(u1_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc4_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => ( v1_relat_1(k4_closure2(A,B,C)) & v2_relat_1(k4_closure2(A,B,C)) & v4_relat_1(k4_closure2(A,B,C),A) & v1_funct_1(k4_closure2(A,B,C)) & v1_partfun1(k4_closure2(A,B,C),A) ) ) )).
fof(fc4_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc4_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) ) => ( ~ v1_xboole_0(k2_cohsp_1(A)) & v1_classes1(k2_cohsp_1(A)) ) ) )).
fof(fc4_compact1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ~ v2_struct_0(k1_compact1(A)) & v1_pre_topc(k1_compact1(A)) ) ) )).
fof(fc4_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_metric_1(k3_compl_sp(A,B,C)) & v8_metric_1(k3_compl_sp(A,B,C)) ) ) )).
fof(fc4_complex1,axiom,( ! [A] : ( ( v8_ordinal1(A) & v1_xcmplx_0(A) ) => ( v8_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A)) ) ) )).
fof(fc4_complfld,axiom,( ~ v6_struct_0(k1_complfld) & v13_algstr_0(k1_complfld) & v33_algstr_0(k1_complfld) & v36_algstr_0(k1_complfld) & v3_vectsp_1(k1_complfld) & v5_vectsp_1(k1_complfld) & v6_vectsp_1(k1_complfld) & v2_rlvect_1(k1_complfld) & v3_rlvect_1(k1_complfld) & v4_rlvect_1(k1_complfld) & v3_group_1(k1_complfld) & v5_group_1(k1_complfld) )).
fof(fc4_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => ( v1_relat_1(k5_xtuple_0(B)) & v1_funct_1(k5_xtuple_0(B)) ) ) )).
fof(fc4_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( v1_xboole_0(k5_compos_1(A,B,C)) & v1_relat_1(k5_compos_1(A,B,C)) & v4_relat_1(k5_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k5_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k5_compos_1(A,B,C)) & v1_finset_1(k5_compos_1(A,B,C)) ) ) )).
fof(fc4_compos_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_amistd_4(A) & l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) & v1_compos_2(B,A) & v7_ordinal1(C) ) => ( v1_relat_1(k6_compos_1(A,B,C)) & v4_relat_1(k6_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k6_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k6_compos_1(A,B,C)) & v1_finset_1(k6_compos_1(A,B,C)) & v1_compos_2(k6_compos_1(A,B,C),A) ) ) )).
fof(fc4_compts_1,axiom,( ! [A] : ( v1_finset_1(A) => v8_struct_0(k1_compts_1(A)) ) )).
fof(fc4_comput_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ~ v1_xboole_0(k3_comput_1(A,B)) & v1_relat_1(k3_comput_1(A,B)) & v4_relat_1(k3_comput_1(A,B),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k3_comput_1(A,B)) & v4_valued_0(k3_comput_1(A,B)) & v2_margrel1(k3_comput_1(A,B)) & v2_comput_1(k3_comput_1(A,B)) ) ) )).
fof(fc4_comseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k1_valued_1(A,B)) & v1_funct_2(k1_valued_1(A,B),k4_ordinal1,k2_numbers) & v2_comseq_2(k1_valued_1(A,B)) ) ) )).
fof(fc4_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k3_comseq_3(A)) & v1_funct_2(k3_comseq_3(A),k4_ordinal1,k1_numbers) & v2_comseq_2(k3_comseq_3(A)) ) ) )).
fof(fc4_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( ~ v2_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & v10_lattices(k11_conlat_1(A)) ) ) )).
fof(fc4_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ( ~ v2_struct_0(k15_convex4(A)) & v13_algstr_0(k15_convex4(A)) & v2_rlvect_1(k15_convex4(A)) & v3_rlvect_1(k15_convex4(A)) & v4_rlvect_1(k15_convex4(A)) & v1_clvect_1(k15_convex4(A)) & v2_clvect_1(k15_convex4(A)) & v3_clvect_1(k15_convex4(A)) & v4_clvect_1(k15_convex4(A)) & v5_clvect_1(k15_convex4(A)) ) ) )).
fof(fc4_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_rlvect_1(B) ) => v4_rlvect_1(k3_convfun1(A,B)) ) )).
fof(fc4_csspace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_numbers))) ) => ( ~ v2_struct_0(g1_csspace(A,B,C,D,E)) & v1_csspace(g1_csspace(A,B,C,D,E)) ) ) )).
fof(fc4_csspace3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ~ v2_struct_0(g2_clvect_1(A,B,C,D,E)) & v7_clvect_1(g2_clvect_1(A,B,C,D,E)) ) ) )).
fof(fc4_csspace4,axiom,( v13_algstr_0(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v2_rlvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v3_rlvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v4_rlvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v2_clvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v3_clvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v4_clvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v5_clvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) & v7_clvect_1(g2_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4),k2_csspace4)) )).
fof(fc4_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_2(k5_dickson(A)) & v5_orders_2(k5_dickson(A)) ) ) )).
fof(fc4_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_dilworth(A) & l1_orders_2(A) ) => ( v2_xxreal_0(k2_dilworth(A)) & v7_ordinal1(k2_dilworth(A)) ) ) )).
fof(fc4_dist_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,A) ) => v1_matrprob(k4_dist_1(A,B)) ) )).
fof(fc4_dtconstr,axiom,( ~ v2_struct_0(k5_dtconstr) & v1_lang1(k5_dtconstr) & v1_dtconstr(k5_dtconstr) & v2_dtconstr(k5_dtconstr) & v3_dtconstr(k5_dtconstr) )).
fof(fc4_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v13_algstr_0(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v1_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v2_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v3_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v4_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v5_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v6_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v7_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) & v8_rlvect_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)))) ) ) )).
fof(fc4_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => v2_ec_pf_1(k5_struct_0(k9_int_3(A)),A) ) )).
fof(fc4_endalg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v22_algstr_0(k6_endalg(A,B)) & v4_vectsp_1(k6_endalg(A,B)) & v3_group_1(k6_endalg(A,B)) ) ) )).
fof(fc4_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k11_ens_1(A)) & ~ v11_struct_0(k11_ens_1(A)) & v1_cat_1(k11_ens_1(A)) & v2_cat_1(k11_ens_1(A)) & v3_cat_1(k11_ens_1(A)) & v4_cat_1(k11_ens_1(A)) & v5_cat_1(k11_ens_1(A)) & v6_cat_1(k11_ens_1(A)) ) ) )).
fof(fc4_eqrel_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_setfam_1(k7_eqrel_1(A,B)) ) )).
fof(fc4_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ( v1_relat_1(k4_equation(A)) & v2_relat_1(k4_equation(A)) & v4_relat_1(k4_equation(A),u1_struct_0(A)) & v1_funct_1(k4_equation(A)) & v1_partfun1(k4_equation(A),u1_struct_0(A)) ) ) )).
fof(fc4_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k14_euclid(A)) & v1_metric_1(k14_euclid(A)) & v6_metric_1(k14_euclid(A)) & v7_metric_1(k14_euclid(A)) & v8_metric_1(k14_euclid(A)) & v9_metric_1(k14_euclid(A)) ) ) )).
fof(fc4_euclid_9,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v3_xxreal_0(B) ) => v1_xboole_0(k1_xxreal_1(k6_xcmplx_0(A,B),k2_xcmplx_0(A,B))) ) )).
fof(fc4_exchsort,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_xreal_0(B) ) => ( v1_relat_1(k1_tarski(k4_tarski(A,B))) & v1_funct_1(k1_tarski(k4_tarski(A,B))) & v3_valued_0(k1_tarski(k4_tarski(A,B))) & v1_exchsort(k1_tarski(k4_tarski(A,B))) ) ) )).
fof(fc4_extpro_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & v2_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => v2_extpro_1(k2_compos_1(B),A,B) ) )).
fof(fc4_facirc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_facirc_1(A) & ~ v1_facirc_1(B) ) => ~ v1_facirc_1(k2_xboole_0(A,B)) ) )).
fof(fc4_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v1_fcont_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k45_valued_1(A,B)) & v1_fcont_1(k45_valued_1(A,B)) ) ) )).
fof(fc4_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => v2_rcomp_1(k1_limfunc1(A)) ) )).
fof(fc4_fib_num2,axiom,( v3_xxreal_2(k4_ordinal1) )).
fof(fc4_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k6_filter_0(A,k2_filter_0(A,B))) & v10_lattices(k6_filter_0(A,k2_filter_0(A,B))) & v13_lattices(k6_filter_0(A,k2_filter_0(A,B))) ) ) )).
fof(fc4_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v20_lattices(k3_filter_2(A,B),k1_lattice2(A)) ) )).
fof(fc4_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => ( v5_relat_1(k2_finance2(A,B),k12_prob_1) & v1_funct_1(k2_finance2(A,B)) & v1_funct_2(k2_finance2(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) ) ) )).
fof(fc4_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => v3_card_1(k1_finseq_1(A),A) ) )).
fof(fc4_finseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v3_card_1(k2_finseq_2(A,B),A) & v1_finseq_1(k2_finseq_2(A,B)) ) ) )).
fof(fc4_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => v1_funcop_1(k10_finseq_1(A,B)) ) )).
fof(fc4_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : v1_finseq_1(k8_finseq_4(A,B,C,D,E)) )).
fof(fc4_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v2_funct_1(C) & m1_finseq_1(C,B) ) => ( v1_relat_1(k1_rfinseq(A,C)) & v1_funct_1(k1_rfinseq(A,C)) & v2_funct_1(k1_rfinseq(A,C)) & v1_finseq_1(k1_rfinseq(A,C)) ) ) )).
fof(fc4_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,A) & m1_subset_1(C,A) ) => ~ v1_xboole_0(k1_finseq_6(A,B,C)) ) )).
fof(fc4_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : v1_finset_1(k2_enumset1(A,B,C,D)) )).
fof(fc4_fintopo6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v3_fintopo6(k1_tarski(B),A) ) )).
fof(fc4_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k5_relat_1(A,k1_tarski(B))) & v1_funct_1(k5_relat_1(A,k1_tarski(B))) & v2_funct_1(k5_relat_1(A,k1_tarski(B))) ) ) )).
fof(fc4_fomodel1,axiom,( ! [A] : ( ( v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_finset_1(k2_fomodel1(A)) ) )).
fof(fc4_fomodel2,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_xboole_0(k6_fomodel2(A,B)) & v1_relat_1(k6_fomodel2(A,B)) & v1_funct_1(k6_fomodel2(A,B)) ) ) )).
fof(fc4_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v8_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ( v1_relat_1(k5_relat_1(k2_fomodel3(A,B),k4_finseq_2(k1_int_2(k19_fomodel1(A,B)),k35_fomodel1(A)))) & v5_relat_1(k5_relat_1(k2_fomodel3(A,B),k4_finseq_2(k1_int_2(k19_fomodel1(A,B)),k35_fomodel1(A))),k35_fomodel1(A)) ) ) )).
fof(fc4_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v2_fomodel4(B,A) & v2_fomodel4(C,A) ) => v2_fomodel4(k2_xboole_0(B,C),A) ) )).
fof(fc4_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => ( v1_lang1(k3_freealg(A,B)) & v1_dtconstr(k3_freealg(A,B)) & v2_dtconstr(k3_freealg(A,B)) & v3_dtconstr(k3_freealg(A,B)) ) ) )).
fof(fc4_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ( ~ v2_struct_0(k11_fsm_1(A,B,C)) & v8_struct_0(k11_fsm_1(A,B,C)) & v2_fsm_1(k11_fsm_1(A,B,C),A,B) ) ) )).
fof(fc4_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_fsm_3(C,A,B) ) => ( ~ v2_struct_0(g1_rewrite3(B,u1_struct_0(C),u1_rewrite3(B,C))) & v1_rewrite3(g1_rewrite3(B,u1_struct_0(C),u1_rewrite3(B,C)),B) ) ) )).
fof(fc4_funcop_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ~ v1_xboole_0(k2_funcop_1(B,A)) ) )).
fof(fc4_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k11_funcsdom(A)) & v36_algstr_0(k11_funcsdom(A)) ) ) )).
fof(fc4_funct_1,axiom,( ! [A] : ( v1_relat_1(k4_relat_1(A)) & v2_funct_1(k4_relat_1(A)) ) )).
fof(fc4_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k3_relat_1(D,C)) & v1_funct_2(k3_relat_1(D,C),A,B) ) ) )).
fof(fc4_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) ) => ( v1_relat_1(k1_funct_4(B,A)) & v1_funct_1(k1_funct_4(B,A)) & ~ v1_xboole_0(k1_funct_4(B,A)) ) ) )).
fof(fc4_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_funcop_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc4_funct_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_funct_9(B,A) & v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_funct_9(C,A) ) => ( v1_relat_1(k18_valued_1(B,C)) & v1_funct_1(k18_valued_1(B,C)) & v1_funct_9(k18_valued_1(B,C),A) ) ) )).
fof(fc4_functor0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A)) & v1_funcop_1(k2_funct_4(A)) ) ) )).
fof(fc4_fvaluat1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_fvaluat1(A) ) => v1_fvaluat1(k1_funct_1(A,B)) ) )).
fof(fc4_gate_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => v1_xboole_0(k2_gate_1(A,B)) ) )).
fof(fc4_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) & v1_xcmplx_0(B) & v1_gaussint(B) ) => v1_gaussint(k6_xcmplx_0(A,B)) ) )).
fof(fc4_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v1_finset_1(k7_glib_000(A)) ) )).
fof(fc4_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => v1_glib_001(k2_glib_001(A,B,B,C),A) ) )).
fof(fc4_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) ) => v1_finset_1(k2_xtuple_0(B)) ) )).
fof(fc4_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_005(B,A) & v7_ordinal1(C) ) => ( v1_partfun1(k1_funct_1(B,C),k7_glib_000(A)) & v4_valued_0(k1_funct_1(B,C)) ) ) )).
fof(fc4_goboard2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_valued_0(A) & m1_finseq_1(A,k1_numbers) & ~ v1_xboole_0(B) & v5_valued_0(B) & m1_finseq_1(B,k1_numbers) ) => ( v1_matrix_0(k1_goboard2(A,B)) & v3_goboard1(k1_goboard2(A,B)) & v4_goboard1(k1_goboard2(A,B)) ) ) )).
fof(fc4_gr_cy_1,axiom,( v5_membered(u1_struct_0(k2_gr_cy_1)) )).
fof(fc4_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_finset_1(k4_graph_3(A,B,C)) ) )).
fof(fc4_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_finset_1(k4_graph_5(A,B,C)) ) )).
fof(fc4_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ( v1_funct_1(k6_grcat_1(A,B)) & v1_funct_2(k6_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(k6_grcat_1(A,B),A,B) ) ) )).
fof(fc4_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & v1_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k5_groeb_3(A,B,C,D,1)) & v1_funct_2(k5_groeb_3(A,B,C,D,1),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k5_groeb_3(A,B,C,D,1),C) & v1_polynom7(k5_groeb_3(A,B,C,D,1),A,C) & v3_polynom7(k5_groeb_3(A,B,C,D,1),A,C) ) ) )).
fof(fc4_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ~ v4_group_1(k1_group_1(A),A) ) )).
fof(fc4_group_10,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k4_gr_cy_1(A)) & v15_algstr_0(k4_gr_cy_1(A)) & v2_group_10(k4_gr_cy_1(A),A) ) ) )).
fof(fc4_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => ~ v1_xboole_0(k1_group_12(A,B,C)) ) )).
fof(fc4_group_14,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k2_group_14(A)) & v8_algstr_0(k2_group_14(A)) ) ) )).
fof(fc4_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) ) => ~ v1_xboole_0(k15_group_2(A,B)) ) )).
fof(fc4_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v3_group_7(B,A) ) => ( v15_algstr_0(k2_group_7(A,B)) & v3_group_1(k2_group_7(A,B)) ) ) )).
fof(fc4_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ~ v2_struct_0(k10_group_9(A,B,C)) ) )).
fof(fc4_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k3_hahnban1(A,B,C,D)) & v1_funct_2(k3_hahnban1(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(k3_hahnban1(A,B,C,D),B,A) ) ) )).
fof(fc4_hausdorf,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & v2_compts_1(B,k3_pcomps_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( v1_funct_1(k6_weierstr(A,B)) & v1_funct_2(k6_weierstr(A,B),u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k6_weierstr(A,B),k3_pcomps_1(A),k3_topmetr) ) ) )).
fof(fc4_heyting3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => v1_finset_1(k2_heyting3(A,B)) ) )).
fof(fc4_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_funct_1(k6_hilbasis(A,B)) & v1_funct_2(k6_hilbasis(A,B),u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))) & v6_group_1(k6_hilbasis(A,B),k13_polynom3(k12_polynom1(B,A)),k12_polynom1(k1_nat_1(B,1),A)) ) ) )).
fof(fc4_hilbert1,axiom,( v6_hilbert1(k6_hilbert1) )).
fof(fc4_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_funct_1(k15_funct_3(C,D)) & v1_funct_2(k15_funct_3(C,D),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)) & v3_funct_2(k15_funct_3(C,D),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)) ) ) )).
fof(fc4_hilbert4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v1_partit_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & v1_partit_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_relat_1(k15_funct_3(C,D)) & v1_funct_1(k15_funct_3(C,D)) & v1_partit_2(k15_funct_3(C,D)) ) ) )).
fof(fc4_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k9_polynom3(A)) & v1_funct_2(k9_polynom3(A),k4_ordinal1,u1_struct_0(A)) & v3_hurwitz2(k9_polynom3(A),A) ) ) )).
fof(fc4_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,k4_ordinal1,B,6) & m1_finseq_1(D,k3_finseq_2(k4_ordinal1)) ) => ( v1_relat_1(k18_idea_1(A,B,C,D)) & v1_funct_1(k18_idea_1(A,B,C,D)) & v1_finseq_1(k18_idea_1(A,B,C,D)) & v1_funcop_1(k18_idea_1(A,B,C,D)) ) ) )).
fof(fc4_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) ) => ( v1_relat_1(k3_index_1(B)) & v2_relat_1(k3_index_1(B)) & v4_relat_1(k3_index_1(B),A) & v1_funct_1(k3_index_1(B)) ) ) )).
fof(fc4_int_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => v1_int_1(k6_xcmplx_0(A,B)) ) )).
fof(fc4_int_3,axiom,( ~ v6_struct_0(k1_int_3) & v13_algstr_0(k1_int_3) & v3_group_1(k1_int_3) & v5_group_1(k1_int_3) & v2_rlvect_1(k1_int_3) & v3_rlvect_1(k1_int_3) & v4_rlvect_1(k1_int_3) & v5_vectsp_1(k1_int_3) & v1_vectsp_2(k1_int_3) )).
fof(fc4_int_4,axiom,( ! [A] : ( v1_int_1(A) => ( v1_relat_2(k1_int_4(A)) & v3_relat_2(k1_int_4(A)) & v8_relat_2(k1_int_4(A)) ) ) )).
fof(fc4_int_6,axiom,( ! [A] : ( v1_int_1(A) => v5_relat_1(k5_finseq_1(A),k4_numbers) ) )).
fof(fc4_integr16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_funct_1(k4_comseq_3(B)) & v1_funct_2(k4_comseq_3(B),A,k1_numbers) ) ) )).
fof(fc4_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k1_interva1(A,k2_subset_1(A),k2_subset_1(A))) ) )).
fof(fc4_intpro_1,axiom,( v8_intpro_1(k8_intpro_1) )).
fof(fc4_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v5_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v6_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc4_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2),k11_pscomp_1(A),k10_pscomp_1(A))) ) )).
fof(fc4_jordan1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_convex1(k7_topreal1(A),k15_euclid(2)) ) )).
fof(fc4_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k7_relat_1(k4_pscomp_1,k5_topreal1(A))) ) )).
fof(fc4_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( v2_funct_1(k2_jordan1e(A,B)) & v1_topreal1(k2_jordan1e(A,B)) & v2_topreal1(k2_jordan1e(A,B)) & v3_topreal1(k2_jordan1e(A,B)) ) ) )).
fof(fc4_jordan1h,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & v2_relat_1(B) & ~ v1_xboole_0(B) & m1_finseq_1(B,k3_finseq_2(A)) ) => ~ v1_xboole_0(k9_matrix_0(B)) ) )).
fof(fc4_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v2_compts_1(k4_jordan19(A),k15_euclid(2)) ) )).
fof(fc4_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_jordan23(A) ) => ( v1_relat_1(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) & v1_jordan23(k3_finseq_5(A)) ) ) )).
fof(fc4_jordan2c,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => v2_tops_1(k1_rltopsp1(k15_euclid(2),A,B),k15_euclid(2)) ) )).
fof(fc4_kurato_1,axiom,( ~ v3_pre_topc(k6_kurato_1,k3_topmetr) & ~ v4_pre_topc(k6_kurato_1,k3_topmetr) )).
fof(fc4_kurato_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => v4_pre_topc(k1_kurato_2(A,B),A) ) )).
fof(fc4_lagra4sq,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v7_ordinal1(B) ) => v1_lagra4sq(k1_newton(A,B)) ) )).
fof(fc4_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k9_lang1(A)) & v2_lang1(k9_lang1(A)) ) ) )).
fof(fc4_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v1_relat_1(k1_lattad_1(A)) & v8_relat_2(k1_lattad_1(A)) ) ) )).
fof(fc4_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_lattices(A) & l2_lattices(A) ) => ( v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc4_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k3_lattice3(A)) & v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A)) ) ) )).
fof(fc4_lattice5,axiom,( ! [A] : ~ v1_xboole_0(k5_lattice5(A)) )).
fof(fc4_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v15_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k6_latticea(A,B)) & v18_lattices(k6_latticea(A,B),A) & v21_lattices(k6_latticea(A,B),A) ) ) )).
fof(fc4_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v1_xboole_0(k2_struct_0(A)) & v18_lattices(k2_struct_0(A),A) & v19_lattices(k2_struct_0(A),A) ) ) )).
fof(fc4_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v2_lexbfs(k16_lexbfs(A)) ) )).
fof(fc4_lfuzzy_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v9_waybel_1(B) & l1_orders_2(B) ) => ( v1_orders_2(k5_yellow_1(A,B)) & v9_waybel_1(k5_yellow_1(A,B)) ) ) )).
fof(fc4_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) ) => ( ~ v2_struct_0(k17_lmod_7(A,B,C)) & v7_vectsp_1(k17_lmod_7(A,B,C),A) ) ) )).
fof(fc4_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( v13_algstr_0(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v1_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v2_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v3_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v4_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v5_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v6_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v7_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) & v8_rlvect_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)))) ) ) )).
fof(fc4_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k8_lopban_2(A)) & v1_funcsdom(k8_lopban_2(A)) ) ) )).
fof(fc4_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v2_struct_0(k5_lopban_7(A,B,C)) & v3_normsp_0(k5_lopban_7(A,B,C)) & v4_normsp_0(k5_lopban_7(A,B,C)) & v2_normsp_1(k5_lopban_7(A,B,C)) ) ) )).
fof(fc4_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ~ v1_xboole_0(k10_lopclset(A)) ) )).
fof(fc4_lpspacc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_relat_1(k54_valued_1(B)) & v1_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B)) & v6_supinf_2(k54_valued_1(B)) ) ) )).
fof(fc4_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k11_lpspace1(A,B,C)) & v1_ideal_1(k11_lpspace1(A,B,C),k10_lpspace1(A,B,C)) & v1_lpspace1(k11_lpspace1(A,B,C),k10_lpspace1(A,B,C)) ) ) )).
fof(fc4_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v1_xboole_0(k3_lpspace2(A,B,C,D)) & v1_ideal_1(k3_lpspace2(A,B,C,D),k2_lpspace2(A,B,C,D)) & v1_lpspace1(k3_lpspace2(A,B,C,D),k2_lpspace2(A,B,C,D)) ) ) )).
fof(fc4_ltlaxio3,axiom,( ! [A] : ( ( v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => v1_xboole_0(k5_ltlaxio3(A)) ) )).
fof(fc4_ltlaxio4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) => v1_finset_1(k6_ltlaxio4(A)) ) )).
fof(fc4_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) & m1_subset_1(D,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,D,k8_cqc_lang(A,C,B)),k8_cqc_lang(A,C,k8_cqc_lang(A,D,B))),A) ) )).
fof(fc4_margrel1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => v1_xboolean(k1_funct_1(A,B)) ) )).
fof(fc4_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(u2_algstr_0(A)) & v1_funct_2(u2_algstr_0(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_algstr_0(A),u1_struct_0(A)) ) ) )).
fof(fc4_matrix13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v7_vectsp_1(k6_prvect_1(A,B),A) & v1_matrlin(k6_prvect_1(A,B),A) ) ) )).
fof(fc4_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v15_algstr_0(k10_matrix_1(A)) & v2_group_1(k10_matrix_1(A)) & v3_group_1(k10_matrix_1(A)) ) ) )).
fof(fc4_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_0(k4_matrix_3(B,C,D)) & v2_matrix_0(k4_matrix_3(B,C,D),u1_struct_0(B),A,A) ) ) )).
fof(fc4_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k4_xboole_0(B,C),A) ) )).
fof(fc4_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v4_partfun3(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k5_relat_1(C,B)) & v4_partfun3(k5_relat_1(C,B)) ) ) )).
fof(fc4_matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v1_topreal9(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v1_topreal9(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k3_relat_1(C,B)) & v1_funct_2(k3_relat_1(C,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v1_topreal9(k3_relat_1(C,B),A) ) ) )).
fof(fc4_mazurulm,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v3_xxreal_2(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => v3_xxreal_2(k23_member_1(A,B)) ) )).
fof(fc4_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ v1_xboole_0(k4_measure6(A)) ) )).
fof(fc4_member_1,axiom,( ! [A] : ( ( v2_membered(A) & ~ v1_xboole_0(A) ) => ( v2_membered(k4_member_1(A)) & ~ v1_xboole_0(k4_member_1(A)) ) ) )).
fof(fc4_membered,axiom,( v4_membered(k3_numbers) )).
fof(fc4_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_memstr_0(k1_memstr_0(A),A) & v3_memstr_0(k1_memstr_0(A),A) ) ) )).
fof(fc4_mesfun7c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & v1_mesfunc8(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_funct_1(k12_mesfun7c(A,B)) & v1_funct_2(k12_mesfun7c(A,B),k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(k12_mesfun7c(A,B),A,k1_numbers) ) ) )).
fof(fc4_mesfunc7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & v7_ordinal1(B) ) => ( v1_relat_1(k2_finseq_2(B,A)) & v1_funct_1(k2_finseq_2(B,A)) & v1_finseq_1(k2_finseq_2(B,A)) & v2_valued_0(k2_finseq_2(B,A)) ) ) )).
fof(fc4_metric_1,axiom,( ! [A] : ( v1_metric_1(k5_metric_1(A)) & v6_metric_1(k5_metric_1(A)) & v7_metric_1(k5_metric_1(A)) & v8_metric_1(k5_metric_1(A)) & v9_metric_1(k5_metric_1(A)) ) )).
fof(fc4_metrizts,axiom,( ! [A] : ( ( v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_xboole_0(k2_waybel23(A)) & v1_card_1(k2_waybel23(A)) ) ) )).
fof(fc4_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => v3_mfold_0(k1_mfold_1(A,k4_struct_0(k15_euclid(A)),1)) ) )).
fof(fc4_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v2_mfold_1(k15_euclid(A),A) ) ) )).
fof(fc4_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k4_mfold_2(A)) & v2_pre_topc(k4_mfold_2(A)) ) ) )).
fof(fc4_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( ~ v2_struct_0(k15_midsp_1(A)) & v8_algstr_0(k15_midsp_1(A)) ) ) )).
fof(fc4_midsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ~ v2_struct_0(g1_midsp_1(A,B)) & v1_midsp_1(g1_midsp_1(A,B)) ) ) )).
fof(fc4_mmlquer2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_relat_2(k1_mmlquer2(B,C)) & v1_partfun1(k1_mmlquer2(B,C),A) ) ) )).
fof(fc4_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_mmlquery(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_mmlquery(k4_xboole_0(B,C),A) ) )).
fof(fc4_mod_2,axiom,( ~ v2_struct_0(k18_mod_2) & v36_algstr_0(k18_mod_2) )).
fof(fc4_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( v13_algstr_0(k2_mod_4(A)) & v36_algstr_0(k2_mod_4(A)) & v3_rlvect_1(k2_mod_4(A)) & v4_rlvect_1(k2_mod_4(A)) ) ) )).
fof(fc4_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_modelc_1(k10_modelc_1(A)) ) )).
fof(fc4_modelc_2,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_modelc_2(k4_modelc_2(A,B)) ) )).
fof(fc4_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ~ v1_xboole_0(k3_tarski(k1_orders_1(k1_modelc_3(A)))) ) )).
fof(fc4_moebius1,axiom,( ! [A] : ( v1_relat_1(k4_moebius1(A)) & v4_relat_1(k4_moebius1(A),k4_ordinal1) & v1_funct_1(k4_moebius1(A)) & v1_partfun1(k4_moebius1(A),k4_ordinal1) & v3_valued_0(k4_moebius1(A)) ) )).
fof(fc4_moebius2,axiom,( v1_funct_1(k1_moebius2) & v1_funct_2(k1_moebius2,k4_ordinal1,k1_numbers) & v6_valued_0(k1_moebius2) & v2_seq_2(k1_moebius2) )).
fof(fc4_monoid_0,axiom,( ! [A] : ( ~ v2_struct_0(k17_monoid_0(A)) & v15_algstr_0(k17_monoid_0(A)) & v1_group_1(k17_monoid_0(A)) & v13_monoid_0(k17_monoid_0(A)) ) )).
fof(fc4_monoid_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ~ v2_struct_0(k20_monoid_1(A)) ) )).
fof(fc4_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ v1_xboole_0(k3_card_3(B)) ) )).
fof(fc4_msafree1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(k8_msafree(A,B)) & v4_relat_1(k8_msafree(A,B),u1_struct_0(A)) & v1_funct_1(k8_msafree(A,B)) & v1_partfun1(k8_msafree(A,B),u1_struct_0(A)) & v1_prob_2(k8_msafree(A,B)) ) ) )).
fof(fc4_msafree4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_finseq_1(A) & v4_trees_3(A) ) => ( ~ v1_xboole_0(k11_trees_3(A)) & v1_finset_1(k11_trees_3(A)) & v1_trees_1(k11_trees_3(A)) ) ) )).
fof(fc4_msafree5,axiom,( ! [A] : ! [B] : ( ( v3_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => v3_finseq_1(k2_msafree5(A,B)) ) )).
fof(fc4_msalimit,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k4_msalimit(A)) & v2_msalimit(k4_msalimit(A)) ) ) )).
fof(fc4_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ( v1_relat_1(k2_funct_6(B)) & v4_relat_1(k2_funct_6(B),A) & v1_funct_1(k2_funct_6(B)) & v1_partfun1(k2_funct_6(B),A) ) ) )).
fof(fc4_mssublat,axiom,( ! [A] : ( ( v4_unialg_1(A) & l1_unialg_1(A) ) => ( v1_unialg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) & v4_unialg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) ) ) )).
fof(fc4_msualg_1,axiom,( ! [A] : ! [B] : ( ( v13_struct_0(A,1) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ~ v1_xboole_0(k10_msualg_1(A,B)) ) )).
fof(fc4_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_relat_1(k8_msualg_6(A,B,C)) & v3_msualg_6(k8_msualg_6(A,B,C),A,B) & v4_msualg_6(k8_msualg_6(A,B,C),A,B) ) ) )).
fof(fc4_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v1_relat_1(u3_msualg_1(A,k7_msafree2(A))) & v2_relat_1(u3_msualg_1(A,k7_msafree2(A))) & v4_relat_1(u3_msualg_1(A,k7_msafree2(A)),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,k7_msafree2(A))) & v1_partfun1(u3_msualg_1(A,k7_msafree2(A)),u1_struct_0(A)) & v2_finset_1(u3_msualg_1(A,k7_msafree2(A))) ) ) )).
fof(fc4_mycielsk,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_mycielsk(A) & l1_orders_2(A) ) => ( v7_ordinal1(k2_mycielsk(A)) & v2_xxreal_0(k2_mycielsk(A)) ) ) )).
fof(fc4_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ~ v8_ordinal1(k2_xcmplx_0(B,A)) ) )).
fof(fc4_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v7_ordinal1(C) ) => ( v1_relat_1(k4_nat_3(A,B,C)) & v4_relat_1(k4_nat_3(A,B,C),A) & v1_funct_1(k4_nat_3(A,B,C)) & v1_partfun1(k4_nat_3(A,B,C),A) & v3_valued_0(k4_nat_3(A,B,C)) ) ) )).
fof(fc4_nat_6,axiom,( ! [A] : ( ( v1_int_1(A) & v1_abian(A) ) => v1_int_1(k7_xcmplx_0(A,2)) ) )).
fof(fc4_nat_lat,axiom,( ~ v2_struct_0(k3_nat_lat) & v3_lattices(k3_nat_lat) & v13_lattices(k3_nat_lat) )).
fof(fc4_neckla_3,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k2_neckla_2(A,B)) & v1_orders_2(k2_neckla_2(A,B)) ) ) )).
fof(fc4_necklace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k3_necklace(A)) & v1_orders_2(k3_necklace(A)) ) ) )).
fof(fc4_newton,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v7_ordinal1(k1_newton(A,B)) ) )).
fof(fc4_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_funct_1(C) & v1_nfcont_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k2_vfunct_1(k1_numbers,A,B,C)) & v1_nfcont_3(k2_vfunct_1(k1_numbers,A,B,C),A) ) ) )).
fof(fc4_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v1_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_xreal_0(C) ) => ( v1_funct_1(k9_integr15(A,C,k1_numbers,B)) & v1_nfcont_4(k9_integr15(A,C,k1_numbers,B),A) ) ) )).
fof(fc4_normform,axiom,( ! [A] : ( ~ v2_struct_0(k11_normform(A)) & v3_lattices(k11_normform(A)) ) )).
fof(fc4_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k4_normsp_2(A)) & v4_yellow_8(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A)) ) ) )).
fof(fc4_numbers,axiom,( ~ v1_xboole_0(k4_numbers) )).
fof(fc4_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) ) => v7_ordinal1(k6_xcmplx_0(A,1)) ) )).
fof(fc4_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ~ v1_xboole_0(k9_openlatt(A)) ) )).
fof(fc4_oposet_1,axiom,( v3_qmax_1(k1_oposet_1) & v1_oposet_1(k1_oposet_1) )).
fof(fc4_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k2_ordeq_01(A,B)) & v13_algstr_0(k2_ordeq_01(A,B)) & v1_rlvect_1(k2_ordeq_01(A,B)) & v2_rlvect_1(k2_ordeq_01(A,B)) & v3_rlvect_1(k2_ordeq_01(A,B)) & v4_rlvect_1(k2_ordeq_01(A,B)) & v5_rlvect_1(k2_ordeq_01(A,B)) & v6_rlvect_1(k2_ordeq_01(A,B)) & v7_rlvect_1(k2_ordeq_01(A,B)) & v8_rlvect_1(k2_ordeq_01(A,B)) ) ) )).
fof(fc4_orders_2,axiom,( ! [A] : ( ( v2_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => v4_relat_2(u1_orders_2(A)) ) )).
fof(fc4_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ~ v1_xboole_0(k2_orders_3(A)) ) )).
fof(fc4_ordinal1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) ) => v3_ordinal1(k9_xtuple_0(A)) ) )).
fof(fc4_ordinal2,axiom,( ! [A] : ! [B] : ( v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A,B)) ) )).
fof(fc4_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => ( v3_ordinal1(k11_ordinal2(A,B)) & v7_ordinal1(k11_ordinal2(A,B)) ) ) )).
fof(fc4_ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) ) => ( v1_relat_1(k1_ordinal4(B,C)) & v5_relat_1(k1_ordinal4(B,C),A) & v5_ordinal1(k1_ordinal4(B,C)) & v1_funct_1(k1_ordinal4(B,C)) ) ) )).
fof(fc4_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => v1_ordinal2(k3_afinsq_1(A)) ) )).
fof(fc4_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => v1_ordinal6(k10_xtuple_0(A)) ) )).
fof(fc4_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(k5_osafree(A,B)) & v2_relat_1(k5_osafree(A,B)) & v4_relat_1(k5_osafree(A,B),u1_struct_0(A)) & v1_funct_1(k5_osafree(A,B)) & v1_partfun1(k5_osafree(A,B),u1_struct_0(A)) & v11_osalg_1(k5_osafree(A,B),A) ) ) )).
fof(fc4_osalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) ) => ( v1_relat_1(k3_osalg_1(A,B)) & v4_relat_1(k3_osalg_1(A,B),u1_struct_0(A)) & v1_funct_1(k3_osalg_1(A,B)) & v1_partfun1(k3_osalg_1(A,B),u1_struct_0(A)) & v11_osalg_1(k3_osalg_1(A,B),A) ) ) )).
fof(fc4_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & m2_osalg_2(C,A,B) ) => v3_msualg_2(k9_osalg_2(A,B,C),A,B) ) )).
fof(fc4_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & v3_osalg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( v12_osalg_1(k16_osalg_4(A,B,C),A) & v13_osalg_1(k16_osalg_4(A,B,C),A) ) ) )).
fof(fc4_partfun1,axiom,( ! [A] : ! [B] : v4_funct_1(k4_partfun1(A,B)) )).
fof(fc4_partfun3,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => ( v1_xreal_0(k3_square_1(A)) & ~ v3_xxreal_0(k3_square_1(A)) ) ) )).
fof(fc4_pboole,axiom,( ! [A] : ( v1_relat_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)) & v4_relat_1(k1_pboole(A),A) & v1_funct_1(k1_pboole(A)) & v1_partfun1(k1_pboole(A),A) ) )).
fof(fc4_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v1_partfun1(k3_pcs_0(A,A,B,B,C,D),k2_zfmisc_1(A,B)) ) )).
fof(fc4_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v13_pencil_1(B) & v16_pencil_1(B,A) ) => ~ v1_zfmisc_1(k4_card_3(B)) ) )).
fof(fc4_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ( ~ v2_struct_0(k11_petri(A)) & ~ v11_struct_0(k11_petri(A)) & v1_petri(k11_petri(A)) & v2_petri(k11_petri(A)) & v3_petri(k11_petri(A)) ) ) )).
fof(fc4_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_polyalg1(A)) & v13_algstr_0(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A),A) ) ) )).
fof(fc4_polyeq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => v1_xcmplx_0(k2_polyeq_1(A,B,C,D)) ) )).
fof(fc4_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & l2_struct_0(B) ) => ( v1_funct_1(k8_polynom1(A,B)) & v1_funct_2(k8_polynom1(A,B),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k8_polynom1(A,B),B) ) ) )).
fof(fc4_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_polynom2(A,B,C)) & v1_funct_2(k3_polynom2(A,B,C),u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)) & v6_group_1(k3_polynom2(A,B,C),k12_polynom1(A,B),B) ) ) )).
fof(fc4_polynom3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k5_vfunct_1(k4_ordinal1,A,B)) & v1_polynom1(k5_vfunct_1(k4_ordinal1,A,B),A) ) ) )).
fof(fc4_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k9_polynom3(A)) & v1_funct_2(k9_polynom3(A),k4_ordinal1,u1_struct_0(A)) & v1_polynom5(k9_polynom3(A),A) ) ) )).
fof(fc4_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v4_rlvect_1(B) & v5_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k5_polynom7(A,B,C,D)) & v1_funct_2(k5_polynom7(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k5_polynom7(A,B,C,D),B) ) ) )).
fof(fc4_polyred,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ( v1_orders_2(g1_orders_2(k15_pre_poly(A),B)) & v1_wellfnd1(g1_orders_2(k15_pre_poly(A),B)) ) ) )).
fof(fc4_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => ( v1_funct_1(k8_poset_1(A,B,C)) & v1_funct_2(k8_poset_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v2_poset_1(k8_poset_1(A,B,C),A,B) ) ) )).
fof(fc4_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k6_poset_2(A,B,C)) & v1_funct_2(k6_poset_2(A,B,C),u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(k6_poset_2(A,B,C),k4_poset_2(A),k4_poset_2(B)) ) ) )).
fof(fc4_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k15_pralg_1(B,C)) & v4_relat_1(k15_pralg_1(B,C),A) & v1_funct_1(k15_pralg_1(B,C)) ) ) )).
fof(fc4_pre_circ,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & m1_subset_1(B,k9_xtuple_0(A)) ) => ( v1_relat_1(k5_trees_2(A,B)) & v1_funct_1(k5_trees_2(A,B)) & v1_finset_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)) ) ) )).
fof(fc4_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k1_funct_7(B,C,D)) & v4_relat_1(k1_funct_7(B,C,D),A) & v1_funct_1(k1_funct_7(B,C,D)) & v1_partfun1(k1_funct_7(B,C,D),A) ) ) )).
fof(fc4_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v4_pre_topc(k2_struct_0(A),A) ) )).
fof(fc4_prefer_1,axiom,( v2_struct_0(k2_prefer_1(k1_xboole_0)) & v3_prefer_1(k2_prefer_1(k1_xboole_0)) & v4_prefer_1(k2_prefer_1(k1_xboole_0)) )).
fof(fc4_prepower,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_rat_1(B) ) => v1_xreal_0(k4_prepower(A,B)) ) )).
fof(fc4_prob_1,axiom,( ! [A] : v4_prob_1(k1_zfmisc_1(A),A) )).
fof(fc4_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k3_prob_3(A,C),B) & v1_funct_1(k3_prob_3(A,C)) & v1_funct_2(k3_prob_3(A,C),k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(fc4_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ( ~ v2_struct_0(k4_prvect_3(A,B)) & v8_algstr_0(k4_prvect_3(A,B)) & v4_rlvect_1(k4_prvect_3(A,B)) ) ) )).
fof(fc4_pscomp_1,axiom,( v1_funct_1(k4_pscomp_1) & v1_funct_2(k4_pscomp_1,u1_struct_0(k15_euclid(2)),k1_numbers) & v1_pscomp_1(k4_pscomp_1,k15_euclid(2)) )).
fof(fc4_pythtrip,axiom,( ! [A] : ( ( v1_int_1(A) & v1_abian(A) ) => v1_abian(k1_square_1(A)) ) )).
fof(fc4_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k4_qc_lang1(A)) ) )).
fof(fc4_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ~ v1_xboole_0(k5_qmax_1(A)) ) )).
fof(fc4_quatern2,axiom,( ~ v2_struct_0(k15_quatern2) & v36_algstr_0(k15_quatern2) )).
fof(fc4_quaterni,axiom,( v1_quaterni(k4_quaterni) )).
fof(fc4_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k19_quofield(A)) & v36_algstr_0(k19_quofield(A)) ) ) )).
fof(fc4_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( v1_relat_1(k5_random_3(A)) & v4_relat_1(k5_random_3(A),k4_ordinal1) & v1_funct_1(k5_random_3(A)) & v2_finset_1(k5_random_3(A)) & v1_partfun1(k5_random_3(A),k4_ordinal1) ) ) )).
fof(fc4_rat_1,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_rat_1(B) ) => v1_rat_1(k7_xcmplx_0(A,B)) ) )).
fof(fc4_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ( v1_funct_1(k9_polynom3(A)) & v1_funct_2(k9_polynom3(A),k4_ordinal1,u1_struct_0(A)) & v1_ratfunc1(k9_polynom3(A),A) & v2_ratfunc1(k9_polynom3(A),A) ) ) )).
fof(fc4_rcomp_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v5_xxreal_2(k2_xxreal_1(A,B)) ) )).
fof(fc4_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v8_ordinal1(k5_int_1(k5_numbers,A)) & v1_int_1(k5_int_1(k5_numbers,A)) ) ) )).
fof(fc4_real_lat,axiom,( v3_lattices(k3_real_lat) & v11_lattices(k3_real_lat) )).
fof(fc4_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k4_real_ns1(A)) & v1_normsp_1(k4_real_ns1(A)) & v3_lopban_1(k4_real_ns1(A)) ) ) )).
fof(fc4_realset2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(E,A) ) => ( ~ v2_struct_0(g6_algstr_0(A,B,D,E,C)) & v36_algstr_0(g6_algstr_0(A,B,D,E,C)) ) ) )).
fof(fc4_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => v1_relat_1(k5_xboole_0(A,B)) ) )).
fof(fc4_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_2(A) & v1_relat_1(B) & v1_relat_2(B) ) => v1_relat_2(k2_xboole_0(A,B)) ) )).
fof(fc4_reloc,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_compos_0(k5_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(fc4_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_relat_1(C) & v5_relat_1(C,A) ) => v5_relat_1(k2_xboole_0(B,C),A) ) )).
fof(fc4_revrot_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_goboard5(B) & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => v1_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) )).
fof(fc4_rewrite2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_rewrite2(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_rewrite2(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_rewrite2(k7_finseq_1(A,B)) ) ) )).
fof(fc4_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k4_rfunct_1(A)) & v1_funct_1(k4_rfunct_1(A)) & v3_valued_0(k4_rfunct_1(A)) ) ) )).
fof(fc4_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v7_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k5_relat_1(A,B)) & v7_valued_0(k5_relat_1(A,B)) ) ) )).
fof(fc4_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k2_ring_1(A,B)) & v36_algstr_0(k2_ring_1(A,B)) ) ) )).
fof(fc4_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( v1_funct_1(k6_struct_0(A,B,k4_struct_0(B))) & v1_funct_2(k6_struct_0(A,B,k4_struct_0(B)),u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(k6_struct_0(A,B,k4_struct_0(B)),A,B) ) ) )).
fof(fc4_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => v4_ringcat1(k9_ringcat1(A)) ) )).
fof(fc4_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_rlaffin1(k2_tarski(B,C),A) ) )).
fof(fc4_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(C) ) => v1_finset_1(k1_convex1(A,B,C)) ) )).
fof(fc4_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_convex1(k3_convex1(A,B),A) & v3_rltopsp1(k3_convex1(A,B),A) ) ) )).
fof(fc4_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v13_algstr_0(k16_rlvect_2(A)) & v2_rlvect_1(k16_rlvect_2(A)) & v3_rlvect_1(k16_rlvect_2(A)) & v4_rlvect_1(k16_rlvect_2(A)) & v5_rlvect_1(k16_rlvect_2(A)) & v6_rlvect_1(k16_rlvect_2(A)) & v7_rlvect_1(k16_rlvect_2(A)) & v8_rlvect_1(k16_rlvect_2(A)) ) ) )).
fof(fc4_robbins4,axiom,( v1_lattice3(k1_robbins4) & v2_lattice3(k1_robbins4) )).
fof(fc4_rsspace,axiom,( ~ v2_struct_0(k10_rsspace) & v13_algstr_0(k10_rsspace) & v2_rlvect_1(k10_rsspace) & v3_rlvect_1(k10_rsspace) & v4_rlvect_1(k10_rsspace) & v5_rlvect_1(k10_rsspace) & v6_rlvect_1(k10_rsspace) & v7_rlvect_1(k10_rsspace) & v8_rlvect_1(k10_rsspace) )).
fof(fc4_rsspace3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ~ v2_struct_0(g1_normsp_1(A,B,C,D,E)) & v1_normsp_1(g1_normsp_1(A,B,C,D,E)) ) ) )).
fof(fc4_rsspace4,axiom,( v13_algstr_0(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v2_rlvect_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v3_rlvect_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v4_rlvect_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v5_rlvect_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v6_rlvect_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v7_rlvect_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v8_rlvect_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) & v1_normsp_1(g1_normsp_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4),k2_rsspace4)) )).
fof(fc4_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => v3_valued_0(k11_finseq_1(A,B,C)) ) )).
fof(fc4_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( v1_xreal_0(k1_rvsum_3(A)) & v2_xxreal_0(k1_rvsum_3(A)) ) ) )).
fof(fc4_scm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_int_1(A) & v1_int_1(B) & v1_int_1(C) & v1_int_1(D) ) => v5_relat_1(k16_afinsq_1(A,B,C,D),k4_numbers) ) )).
fof(fc4_scm_halt,axiom,( ! [A] : ! [B] : ( ( v1_scmfsa6c(A) & v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(B) ) => ( ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) & v1_scm_halt(k3_scmfsa6a(A,B)) ) ) )).
fof(fc4_scm_inst,axiom,( ~ v1_xboole_0(k3_scm_inst) & v1_compos_0(k3_scm_inst) )).
fof(fc4_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_amistd_1(k8_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc4_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v4_compos_1(k2_scmfsa6a(A,B),k1_scmfsa_2) ) ) )).
fof(fc4_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => v1_scmfsa6c(k17_scmfsa_2(A,B)) ) )).
fof(fc4_scmfsa7b,axiom,( ! [A] : ! [B] : ( ( m1_scmfsa_2(A) & m1_finseq_1(B,k4_numbers) ) => ( v1_relat_1(k4_scmfsa_7(A,B)) & v4_relat_1(k4_scmfsa_7(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa_7(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa_7(A,B)) & v1_finset_1(k4_scmfsa_7(A,B)) & v6_amistd_1(k4_scmfsa_7(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc4_scmfsa8a,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v1_xboole_0(k1_scmfsa8a(A)) & v1_relat_1(k1_scmfsa8a(A)) & v4_relat_1(k1_scmfsa8a(A),k4_ordinal1) & v5_relat_1(k1_scmfsa8a(A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8a(A)) & v1_finset_1(k1_scmfsa8a(A)) & v1_afinsq_1(k1_scmfsa8a(A)) & v2_compos_1(k1_scmfsa8a(A),k1_scmfsa_2) & v1_scmfsa7b(k1_scmfsa8a(A)) ) ) )).
fof(fc4_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k2_scmfsa8b(C,A,B)) & v1_relat_1(k2_scmfsa8b(C,A,B)) & v4_relat_1(k2_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa8b(C,A,B)) & v1_finset_1(k2_scmfsa8b(C,A,B)) & v1_afinsq_1(k2_scmfsa8b(C,A,B)) & v6_amistd_1(k2_scmfsa8b(C,A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc4_scmfsa_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) & m1_subset_1(B,k2_scmfsa_1) ) => v1_int_1(k1_funct_1(A,B)) ) )).
fof(fc4_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_int_1(k1_funct_1(A,B)) ) )).
fof(fc4_scmfsa_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_compos_0(k9_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc4_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v1_scmfsa7b(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k2_scmfsa8b(C,A,B)) & v4_relat_1(k2_scmfsa8b(C,A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa8b(C,A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa8b(C,A,B)) & v1_funct_1(k2_scmfsa8b(C,A,B)) & v1_finset_1(k2_scmfsa8b(C,A,B)) & v1_afinsq_1(k2_scmfsa8b(C,A,B)) & v1_scmfsa7b(k2_scmfsa8b(C,A,B)) ) ) )).
fof(fc4_scmfsa_i,axiom,( ~ v1_xboole_0(k2_scmfsa_i) & v2_compos_0(k2_scmfsa_i) )).
fof(fc4_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k1_scmfsa_m(A)) & v4_relat_1(k1_scmfsa_m(A),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa_m(A)) & v5_funct_1(k1_scmfsa_m(A),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(k1_scmfsa_m(A),u1_struct_0(k1_scmfsa_2)) ) ) )).
fof(fc4_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k2_scmfsa_x(B,A)) & v4_relat_1(k2_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k2_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa_x(B,A)) & v1_funct_1(k2_scmfsa_x(B,A)) & v1_finset_1(k2_scmfsa_x(B,A)) & v1_afinsq_1(k2_scmfsa_x(B,A)) & v5_amistd_1(k2_scmfsa_x(B,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc4_scmpds_2,axiom,( v1_extpro_1(k1_scmpds_2,k5_card_1(2)) & v3_extpro_1(k1_scmpds_2,k5_card_1(2)) )).
fof(fc4_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v4_scmpds_4(k12_scmpds_2(A,B,C,D)) ) )).
fof(fc4_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v6_compos_0(k7_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc4_scmpds_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1)))) & v4_relat_1(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1))),k4_ordinal1) & v5_relat_1(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1))),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1)))) & v1_funct_1(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1)))) & v1_finset_1(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1)))) & v1_afinsq_1(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1)))) & v2_compos_1(k1_scmpds_6(k4_xcmplx_0(k1_nat_1(A,1))),k1_scmpds_2) ) ) )).
fof(fc4_scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v7_ordinal1(D) ) => ( v1_relat_1(k2_scmpds_7(B,C,D,A)) & v4_relat_1(k2_scmpds_7(B,C,D,A),k4_ordinal1) & v5_relat_1(k2_scmpds_7(B,C,D,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_7(B,C,D,A)) & v1_funct_1(k2_scmpds_7(B,C,D,A)) & v1_finset_1(k2_scmpds_7(B,C,D,A)) & v1_afinsq_1(k2_scmpds_7(B,C,D,A)) & v2_compos_1(k2_scmpds_7(B,C,D,A),k1_scmpds_2) ) ) )).
fof(fc4_scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( ~ v1_xboole_0(k2_scmpds_8(B,C,A)) & v1_relat_1(k2_scmpds_8(B,C,A)) & v4_relat_1(k2_scmpds_8(B,C,A),k4_ordinal1) & v5_relat_1(k2_scmpds_8(B,C,A),u1_compos_1(k1_scmpds_2)) & v1_funct_1(k2_scmpds_8(B,C,A)) & v1_finset_1(k2_scmpds_8(B,C,A)) & v1_afinsq_1(k2_scmpds_8(B,C,A)) & v2_compos_1(k2_scmpds_8(B,C,A),k1_scmpds_2) ) ) )).
fof(fc4_scmpds_i,axiom,( v2_compos_0(k1_scmpds_i) )).
fof(fc4_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k3_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc4_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v4_amistd_1(k5_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc4_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v1_xboole_0(k1_scmringi(A)) & v1_compos_0(k1_scmringi(A)) ) ) )).
fof(fc4_scmyciel,axiom,( ! [A] : ! [B] : ( v5_finset_1(A) => v5_finset_1(k3_xboole_0(A,B)) ) )).
fof(fc4_seq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k45_valued_1(A,B)) & v1_funct_2(k45_valued_1(A,B),k4_ordinal1,k1_numbers) & v2_comseq_2(k45_valued_1(A,B)) ) ) )).
fof(fc4_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k1_numbers) ) => ( ~ v1_xboole_0(k26_seq_4(A)) & v5_valued_0(k26_seq_4(A)) ) ) )).
fof(fc4_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => v1_setfam_1(k1_enumset1(A,B,C)) ) )).
fof(fc4_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => v1_finset_1(k6_sf_mastr(A)) ) )).
fof(fc4_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k9_scmfsa_2(A,B)) ) )).
fof(fc4_sfmastr2,axiom,( ! [A] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k4_sfmastr2(A)) & v4_relat_1(k4_sfmastr2(A),k4_ordinal1) & v5_relat_1(k4_sfmastr2(A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_sfmastr2(A)) & v1_funct_1(k4_sfmastr2(A)) & v1_finset_1(k4_sfmastr2(A)) & v1_afinsq_1(k4_sfmastr2(A)) & v3_compos_1(k4_sfmastr2(A),k1_scmfsa_2) & v4_compos_1(k4_sfmastr2(A),k1_scmfsa_2) & v5_amistd_1(k4_sfmastr2(A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc4_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(D) ) => ( v1_relat_1(k3_sfmastr3(A,B,C,D)) & v4_relat_1(k3_sfmastr3(A,B,C,D),k4_ordinal1) & v5_relat_1(k3_sfmastr3(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_sfmastr3(A,B,C,D)) & ~ v1_xboole_0(k3_sfmastr3(A,B,C,D)) & v1_finset_1(k3_sfmastr3(A,B,C,D)) & v1_afinsq_1(k3_sfmastr3(A,B,C,D)) & v3_compos_1(k3_sfmastr3(A,B,C,D),k1_scmfsa_2) & v4_compos_1(k3_sfmastr3(A,B,C,D),k1_scmfsa_2) & v5_amistd_1(k3_sfmastr3(A,B,C,D),k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(k3_sfmastr3(A,B,C,D)) ) ) )).
fof(fc4_simplex0,axiom,( ! [A] : ! [B] : ( ( v1_classes1(A) & v1_classes1(B) ) => v1_classes1(k3_xboole_0(A,B)) ) )).
fof(fc4_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k5_simplex0(u1_struct_0(A),k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),B))) & v2_simplex1(k5_simplex0(u1_struct_0(A),k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),B)),A) ) ) )).
fof(fc4_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k19_sin_cos(A)) ) )).
fof(fc4_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) & v2_funct_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(fc4_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k4_sin_cos9(A)) ) )).
fof(fc4_sincos10,axiom,( v1_relat_1(k5_relat_1(k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc4_sppol_1,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => v4_pre_topc(k3_topreal1(2,A),k15_euclid(2)) ) )).
fof(fc4_sppol_2,axiom,( ! [A] : ! [B] : ( ( v3_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => v3_topreal1(k16_finseq_1(B,A)) ) )).
fof(fc4_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ v3_funct_1(k1_sprect_1(A)) ) )).
fof(fc4_sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => v2_topreal4(k3_goboard9(A),k15_euclid(2)) ) )).
fof(fc4_srings_2,axiom,( ~ v1_setfam_1(k1_srings_2) )).
fof(fc4_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_stacks_1(A)) & ~ v11_struct_0(k8_stacks_1(A)) & v1_stacks_1(k8_stacks_1(A)) & v2_stacks_1(k8_stacks_1(A)) ) ) )).
fof(fc4_struct_0,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_struct_0(A) ) => v1_xboole_0(k2_struct_0(A)) ) )).
fof(fc4_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ~ v1_xboole_0(k3_enumset1(A,B,C,D,E)) )).
fof(fc4_substlat,axiom,( ! [A] : ! [B] : ( v3_lattices(k5_substlat(A,B)) & v11_lattices(k5_substlat(A,B)) & v15_lattices(k5_substlat(A,B)) ) )).
fof(fc4_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ~ v1_xboole_0(k16_substut1(A)) & v1_substut1(k16_substut1(A),A) ) ) )).
fof(fc4_supinf_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k6_numbers))) ) => ( ~ v1_xboole_0(k6_supinf_1(A)) & v2_membered(k6_supinf_1(A)) ) ) )).
fof(fc4_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(D,A,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ v9_struct_0(k4_termord(A,B,C,D),C) ) )).
fof(fc4_tex_1,axiom,( ! [A] : v1_tdlat_3(k1_compts_1(A)) )).
fof(fc4_tex_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k1_tex_2(A,B)) & v1_pre_topc(k1_tex_2(A,B)) & v1_tdlat_3(k1_tex_2(A,B)) & v2_tdlat_3(k1_tex_2(A,B)) ) ) )).
fof(fc4_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_zfmisc_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_zfmisc_1(k2_pre_topc(A,B)) ) )).
fof(fc4_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k6_tmap_1(A,B)) & v1_pre_topc(k6_tmap_1(A,B)) & v2_pre_topc(k6_tmap_1(A,B)) ) ) )).
fof(fc4_topalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k5_topalg_1(A,B)) & v15_algstr_0(k5_topalg_1(A,B)) ) ) )).
fof(fc4_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(B)) & v5_pre_topc(C,k5_topmetr,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(B)) & v5_pre_topc(D,k5_topmetr,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) ) => ( v1_funct_1(k1_topalg_2(A,B,C,D)) & v1_funct_2(k1_topalg_2(A,B,C,D),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(B)) & v5_pre_topc(k1_topalg_2(A,B,C,D),k2_borsuk_1(k5_topmetr,k5_topmetr),B) ) ) )).
fof(fc4_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k11_topalg_4(A,B,C,D)) & v1_funct_2(k11_topalg_4(A,B,C,D),u1_struct_0(k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D))),u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D))))) & v1_group_6(k11_topalg_4(A,B,C,D),k5_topalg_1(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D)),k2_group_7(k2_tarski(1,2),k10_finseq_1(k5_topalg_1(A,C),k5_topalg_1(B,D)))) ) ) )).
fof(fc4_topalg_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_pre_topc(A,k5_topmetr) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ( v1_pre_topc(k1_pre_topc(k5_topmetr,A)) & v1_connsp_2(k1_pre_topc(k5_topmetr,A)) ) ) )).
fof(fc4_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topalg_6(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v7_struct_0(k5_topalg_1(A,B)) & v15_algstr_0(k5_topalg_1(A,B)) ) ) )).
fof(fc4_topalg_7,axiom,( v1_funct_1(k10_topalg_7) & v1_funct_2(k10_topalg_7,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k5_topmetr)) & v5_pre_topc(k10_topalg_7,k2_borsuk_1(k5_topmetr,k5_topmetr),k5_topmetr) )).
fof(fc4_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v2_topdim_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => v2_topdim_1(k2_xboole_0(B,C),A) ) )).
fof(fc4_topdim_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v5_waybel23(A) & v3_topdim_1(A) & v3_pcomps_1(A) & l1_pre_topc(A) & v2_pre_topc(B) & v5_waybel23(B) & v3_topdim_1(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v3_topdim_1(k2_borsuk_1(A,B)) ) ) )).
fof(fc4_topgen_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k2_tops_1(A,B)) ) )).
fof(fc4_topgen_3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_topgen_3(A,B)) & v1_pre_topc(k7_topgen_3(A,B)) & v2_pre_topc(k7_topgen_3(A,B)) ) ) )).
fof(fc4_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v5_topgen_4(k2_struct_0(A),A) & v6_topgen_4(k2_struct_0(A),A) ) ) )).
fof(fc4_topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v2_xxreal_0(B) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ( v1_funct_1(k5_topgen_5(A,B,C)) & v1_funct_2(k5_topgen_5(A,B,C),u1_struct_0(k3_topgen_5),u1_struct_0(k5_topmetr)) & v5_pre_topc(k5_topgen_5(A,B,C),k3_topgen_5,k5_topmetr) ) ) )).
fof(fc4_topgen_6,axiom,( ~ v2_struct_0(k2_topgen_3) & v1_pre_topc(k2_topgen_3) & v2_pre_topc(k2_topgen_3) & v9_pre_topc(k2_topgen_3) )).
fof(fc4_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k2_topgrp_1(A,B)) & v2_funct_1(k2_topgrp_1(A,B)) & v1_funct_2(k2_topgrp_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(k2_topgrp_1(A,B),u1_struct_0(A)) ) ) )).
fof(fc4_topmetr,axiom,( ! [A] : ( ( v3_topmetr(A) & l1_struct_0(A) ) => v3_membered(u1_struct_0(A)) ) )).
fof(fc4_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k4_topreal1(A)) ) )).
fof(fc4_topreal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ v1_xboole_0(k5_measure6(A)) ) )).
fof(fc4_topreal7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( v1_metric_1(k1_topreal7(A,B)) & v9_metric_1(k1_topreal7(A,B)) ) ) )).
fof(fc4_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & ~ v3_xxreal_0(C) ) => ~ v1_xboole_0(k2_topreal9(A,B,C)) ) )).
fof(fc4_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k1_xxreal_1(A,k2_xcmplx_0(A,B))) ) )).
fof(fc4_toprealb,axiom,( v1_funct_1(k16_sin_cos) & v1_funct_2(k16_sin_cos,k1_numbers,k1_numbers) & v1_fcont_1(k16_sin_cos) )).
fof(fc4_toprealc,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_relat_1(k39_valued_1(A)) & v1_funct_1(k39_valued_1(A)) & v1_xboole_0(k39_valued_1(A)) ) ) )).
fof(fc4_tops_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k3_xboole_0(B,C),A) ) )).
fof(fc4_trees_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_xboole_0(k2_trees_1(A)) & v1_finset_1(k2_trees_1(A)) & v1_trees_1(k2_trees_1(A)) ) ) )).
fof(fc4_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => v3_trees_2(k2_funcop_1(A,B)) ) )).
fof(fc4_trees_3,axiom,( v2_trees_3(k2_trees_3) )).
fof(fc4_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) & v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v3_trees_2(D) ) => ( v1_relat_1(k6_trees_4(B,C,D)) & v5_relat_1(k6_trees_4(B,C,D),A) & v1_funct_1(k6_trees_4(B,C,D)) & v3_trees_2(k6_trees_4(B,C,D)) ) ) )).
fof(fc4_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) & m1_subset_1(B,A) ) => v1_finset_1(k1_trees_2(A,B)) ) )).
fof(fc4_unialg_1,axiom,( ! [A] : ( ( v4_unialg_1(A) & l1_unialg_1(A) ) => ( v2_relat_1(u1_unialg_1(A)) & ~ v1_xboole_0(u1_unialg_1(A)) ) ) )).
fof(fc4_uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( v1_funct_1(k4_uniroots(B,A)) & v1_funct_2(k4_uniroots(B,A),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k4_uniroots(B,A),A) & v1_uproots(k4_uniroots(B,A),A) ) ) )).
fof(fc4_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( v1_funct_1(k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),C)) & v1_funct_2(k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),C),k4_ordinal1,u1_struct_0(A)) & v1_uproots(k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),C),A) ) ) )).
fof(fc4_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) ) => v4_membered(k10_xtuple_0(A)) ) )).
fof(fc4_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v5_relat_1(k1_valued_1(A,B),k3_numbers) & v1_funct_1(k1_valued_1(A,B)) ) ) )).
fof(fc4_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ~ v1_xboole_0(k1_vectmetr(A)) ) )).
fof(fc4_vectsp_1,axiom,( ~ v2_struct_0(k2_vectsp_1) & v36_algstr_0(k2_vectsp_1) )).
fof(fc4_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k3_vectsp_2(A)) & v13_algstr_0(k3_vectsp_2(A)) & v2_rlvect_1(k3_vectsp_2(A)) & v3_rlvect_1(k3_vectsp_2(A)) & v4_rlvect_1(k3_vectsp_2(A)) & v2_vectsp_2(k3_vectsp_2(A),A) & v4_vectsp_2(k3_vectsp_2(A),A) ) ) )).
fof(fc4_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_xreal_0(D) ) => ( v1_funct_1(k4_vfunct_1(A,B,C,D)) & v1_partfun1(k4_vfunct_1(A,B,C,D),A) ) ) )).
fof(fc4_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(E)))) ) => ( v1_funct_1(k7_vsdiff_1(A,B,C,D,E,F)) & v1_funct_2(k7_vsdiff_1(A,B,C,D,E,F),u1_struct_0(C),u1_struct_0(E)) ) ) )).
fof(fc4_waybel10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_yellow_0(D,A) ) => ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v5_orders_3(k2_tmap_1(A,B,C,D),D,B) ) ) )).
fof(fc4_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v2_waybel11(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_waybel11(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc4_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ~ v2_struct_0(k3_waybel17(A,B,C)) & v3_orders_2(k3_waybel17(A,B,C)) & v4_orders_2(k3_waybel17(A,B,C)) & v5_orders_2(k3_waybel17(A,B,C)) & v6_waybel_0(k3_waybel17(A,B,C),A) & v7_waybel_0(k3_waybel17(A,B,C)) ) ) )).
fof(fc4_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k8_waybel18(A,B,C)) & v1_funct_2(k8_waybel18(A,B,C),u1_struct_0(A),u1_struct_0(k7_waybel18(A,B,C))) & v2_funct_2(k8_waybel18(A,B,C),u1_struct_0(k7_waybel18(A,B,C))) ) ) )).
fof(fc4_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v2_waybel23(k6_waybel_0(A,B),A) ) )).
fof(fc4_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & v5_waybel_0(D,k3_yellow_3(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k1_waybel24(A,B,C,D,E)) & v1_funct_2(k1_waybel24(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & v5_waybel_0(k1_waybel24(A,B,C,D,E),B,C) ) ) )).
fof(fc4_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc4_waybel26,axiom,( ~ v7_struct_0(k9_waybel18) & v1_pre_topc(k9_waybel18) & v1_waybel25(k9_waybel18) )).
fof(fc4_waybel27,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k2_waybel27(A,B)) & v1_monoid_0(k2_waybel27(A,B)) & v1_orders_2(k2_waybel27(A,B)) & v3_orders_2(k2_waybel27(A,B)) & v5_orders_2(k2_waybel27(A,B)) ) ) )).
fof(fc4_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ( ~ v7_struct_0(k1_yellow_1(k5_waybel11(A))) & v1_orders_2(k1_yellow_1(k5_waybel11(A))) & v3_lattice3(k1_yellow_1(k5_waybel11(A))) ) ) )).
fof(fc4_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ~ v2_struct_0(k2_waybel32(A,B)) & v6_waybel_0(k2_waybel32(A,B),A) & v7_waybel_0(k2_waybel32(A,B)) ) ) )).
fof(fc4_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_waybel34(A,B,C)) & v1_funct_2(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B))) & v4_waybel_1(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B)) ) ) )).
fof(fc4_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_yellow_0(A) & l1_orders_2(A) ) => v2_waybel_0(k2_struct_0(A),A) ) )).
fof(fc4_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(k3_struct_0(A),A) ) ) )).
fof(fc4_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(k2_waybel_2(A,B,C)) & v7_waybel_0(k2_waybel_2(A,B,C)) & v8_waybel_0(k2_waybel_2(A,B,C),A) ) ) )).
fof(fc4_waybel_3,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_waybel_0(k1_waybel_3(A,B),A) ) )).
fof(fc4_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => v4_waybel_4(k2_waybel_4(A),A) ) )).
fof(fc4_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v2_struct_0(C) & l1_orders_2(C) & m2_pboole(D,A,B,k7_funcop_1(A,u1_struct_0(C))) ) => ~ v1_xboole_0(k10_xtuple_0(k5_waybel_5(C,D))) ) )).
fof(fc4_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc4_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( v4_orders_2(k3_waybel_2(A,B,C)) & v6_waybel_0(k3_waybel_2(A,B,C),A) ) ) )).
fof(fc4_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k4_weddwitt(A)) & ~ v6_struct_0(k4_weddwitt(A)) & v8_struct_0(k4_weddwitt(A)) & v13_algstr_0(k4_weddwitt(A)) & v33_algstr_0(k4_weddwitt(A)) & v36_algstr_0(k4_weddwitt(A)) & v2_rlvect_1(k4_weddwitt(A)) & v3_rlvect_1(k4_weddwitt(A)) & v4_rlvect_1(k4_weddwitt(A)) & v4_vectsp_1(k4_weddwitt(A)) & v5_vectsp_1(k4_weddwitt(A)) & v3_group_1(k4_weddwitt(A)) & v5_group_1(k4_weddwitt(A)) ) ) )).
fof(fc4_wellord2,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_relat_1(k1_wellord2(A)) & v6_relat_2(k1_wellord2(A)) ) ) )).
fof(fc4_xboole_0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_xboole_0(A,B)) ) )).
fof(fc4_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k5_xboolean(A,B)) ) )).
fof(fc4_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => v1_xcmplx_0(k6_xcmplx_0(A,B)) ) )).
fof(fc4_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_xcmplx_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A)) ) ) )).
fof(fc4_xtuple_0,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A)) ) )).
fof(fc4_xxreal_0,axiom,( v3_xxreal_0(k2_xxreal_0) )).
fof(fc4_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v2_membered(k4_xxreal_1(A,B)) ) )).
fof(fc4_xxreal_2,axiom,( ! [A] : ( ( v4_membered(A) & v1_xxreal_2(A) ) => ( v1_xxreal_0(k2_xxreal_2(A)) & v1_rat_1(k2_xxreal_2(A)) ) ) )).
fof(fc4_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xxreal_0(B) & ~ v1_xreal_0(B) ) => ~ v1_xreal_0(k1_xxreal_3(A,B)) ) )).
fof(fc4_yellow10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v25_waybel_0(k3_yellow_3(A,B)) ) ) )).
fof(fc4_yellow11,axiom,( v1_lattice3(k2_yellow11) & v2_lattice3(k2_yellow11) )).
fof(fc4_yellow13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_waybel_1(A,B)) & v1_funct_2(k4_waybel_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v19_waybel_0(k4_waybel_1(A,B),A,A) ) ) )).
fof(fc4_yellow14,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ( v1_funct_1(k4_tmap_1(A,B)) & v1_funct_2(k4_tmap_1(A,B),u1_struct_0(B),u1_struct_0(A)) & v5_pre_topc(k4_tmap_1(A,B),B,A) ) ) )).
fof(fc4_yellow16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => ~ v1_xboole_0(k5_card_3(D,C)) ) )).
fof(fc4_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v9_functor0(k2_yellow18(A,k1_yellow18(A)),A,k1_yellow18(A)) & v16_functor0(k2_yellow18(A,k1_yellow18(A)),A,k1_yellow18(A)) & v21_functor0(k2_yellow18(A,k1_yellow18(A)),A,k1_yellow18(A)) ) ) )).
fof(fc4_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => ( ~ v2_struct_0(k3_yellow19(A,B,C)) & v3_orders_2(k3_yellow19(A,B,C)) & v4_orders_2(k3_yellow19(A,B,C)) & v6_waybel_0(k3_yellow19(A,B,C),A) ) ) )).
fof(fc4_yellow21,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(B) & v4_relat_2(B) ) => ( v1_relat_1(k3_relat_1(k3_relat_1(A,B),k2_funct_1(A))) & v4_relat_2(k3_relat_1(k3_relat_1(A,B),k2_funct_1(A))) ) ) )).
fof(fc4_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ( v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v5_orders_2(k3_lattice3(A)) & v3_lattice3(k3_lattice3(A)) ) ) )).
fof(fc4_yellow_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k7_waybel_0(A))) & v2_lattice3(k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc4_yellow_3,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & l1_orders_2(A) & v3_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v3_orders_2(k3_yellow_3(A,B)) ) ) )).
fof(fc4_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v13_waybel_0(k1_yellow_4(A,B,C),A) ) )).
fof(fc4_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => v4_funct_1(u1_struct_0(k4_yellow_1(A,B))) ) )).
fof(fc4_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v16_waybel_0(k7_lattice3(A)) ) ) )).
fof(fc4_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k2_yellow_9(A,B)) & v4_orders_2(k2_yellow_9(A,B)) & v6_waybel_0(k2_yellow_9(A,B),A) ) ) )).
fof(fc4_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => v1_zf_lang(k5_zf_lang(A)) ) )).
fof(fc4_zfmisc_1,axiom,( ! [A] : ! [B] : ( ( v1_zfmisc_1(A) & v1_zfmisc_1(B) ) => v1_zfmisc_1(k2_zfmisc_1(A,B)) ) )).
fof(fc4_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v7_zmodul01(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_zmodul01(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v7_zmodul01(k3_xboole_0(B,C),A) ) )).
fof(fc4_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ~ v1_xboole_0(k26_zmodul02(A)) ) )).
fof(fc4_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul01(k3_zmodul01(A)) & v2_zmodul03(k3_zmodul01(A)) ) ) )).
fof(fc4_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) & v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k7_zmodul01(A,B,C)) & v2_zmodul03(k7_zmodul01(A,B,C)) ) ) )).
fof(fc4_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_relat_1(k3_relat_1(C,D)) & v5_relat_1(k3_relat_1(C,D),B) & v1_finseq_1(k3_relat_1(C,D)) ) ) )).
fof(fc4_zmodul06,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & ~ v2_zmodul06(A) & l1_zmodul01(A) & ~ v1_zmodul06(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_zmodul01(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B))) & v1_zmodul03(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B))) ) ) )).
fof(fc50_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => v1_xboole_0(k5_xboole_0(k1_funct_1(k3_relat_1(E,A),D),k1_funct_1(A,k3_funct_2(B,C,E,D)))) ) )).
fof(fc50_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_finset_1(k11_fomodel1(A)) ) )).
fof(fc50_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v15_fomodel1(B,A) & v4_fomodel2(B,A) & ~ v5_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v4_fomodel2(k38_fomodel2(A,B),A) ) )).
fof(fc50_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v13_fomodel4(k39_fomodel4(A),2,A) ) )).
fof(fc50_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & v1_xreal_0(C) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) & v4_relat_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C)),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) & v1_finset_1(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) & v10_glib_003(k13_glib_000(A,k4_glib_003,k17_funcop_1(B,C))) ) ) )).
fof(fc50_member_1,axiom,( ! [A] : ! [B] : ( ( v6_membered(A) & v6_membered(B) ) => v6_membered(k13_member_1(A,B)) ) )).
fof(fc50_membered,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => v2_membered(k5_xboole_0(A,B)) ) )).
fof(fc50_pcs_0,axiom,( ! [A] : ! [B] : ( ( v6_pcs_0(A) & l2_pcs_0(A) & v6_pcs_0(B) & l2_pcs_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v11_pcs_0(k18_pcs_0(A,B)) ) ) )).
fof(fc50_valued_0,axiom,( ! [A] : ( v2_membered(A) => ( v1_relat_1(k4_relat_1(A)) & v2_valued_0(k4_relat_1(A)) ) ) )).
fof(fc50_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => ( v1_funct_1(k24_valued_1(C,D)) & v1_partfun1(k24_valued_1(C,D),A) ) ) )).
fof(fc50_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_xreal_0(B) ) => ( v1_relat_1(k14_valued_2(A,B)) & v1_funct_1(k14_valued_2(A,B)) & v3_valued_0(k14_valued_2(A,B)) ) ) )).
fof(fc51_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_xxreal_0(k6_xcmplx_0(k4_xxreal_0(A,B),A)) & ~ v3_xxreal_0(k6_xcmplx_0(k4_xxreal_0(A,B),A)) ) ) )).
fof(fc51_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v15_fomodel1(k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,k18_fomodel1(A)),B),C),A) ) )).
fof(fc51_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v15_fomodel1(B,A) & v4_fomodel2(B,A) & ~ v5_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_xboole_0(k5_xboole_0(k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B),k1_fomodel2(A))) ) )).
fof(fc51_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) & v10_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => v2_fomodel3(k3_fomodel3(A,D,C),A,k35_fomodel1(A),D,k8_fomodel4(A,B,C)) ) )).
fof(fc51_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) ) => ( v1_relat_1(k5_glib_003(A)) & v4_relat_1(k5_glib_003(A),k7_glib_000(A)) & v1_funct_1(k5_glib_003(A)) & v1_partfun1(k5_glib_003(A),k7_glib_000(A)) & v1_finset_1(k5_glib_003(A)) ) ) )).
fof(fc51_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k14_member_1(A,B)) ) )).
fof(fc51_membered,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v3_membered(B) ) => v3_membered(k5_xboole_0(A,B)) ) )).
fof(fc51_pcs_0,axiom,( ! [A] : ! [B] : ( ( v14_pcs_0(A) & l2_pcs_0(A) & v14_pcs_0(B) & l2_pcs_0(B) ) => ( v1_relat_1(k18_pcs_0(A,B)) & v4_relat_1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v1_funct_1(k18_pcs_0(A,B)) & v1_partfun1(k18_pcs_0(A,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & v17_pcs_0(k18_pcs_0(A,B)) ) ) )).
fof(fc51_valued_0,axiom,( ! [A] : ( v3_membered(A) => ( v1_relat_1(k4_relat_1(A)) & v3_valued_0(k4_relat_1(A)) ) ) )).
fof(fc51_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_rat_1(D) ) => ( v1_funct_1(k24_valued_1(C,D)) & v1_partfun1(k24_valued_1(C,D),A) ) ) )).
fof(fc51_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_rat_1(B) ) => ( v1_relat_1(k14_valued_2(A,B)) & v5_relat_1(k14_valued_2(A,B),k3_numbers) & v1_funct_1(k14_valued_2(A,B)) ) ) )).
fof(fc52_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(B,A)) ) )).
fof(fc52_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v3_fomodel2(C,B,k1_nat_1(A,1)) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => v3_fomodel2(k37_fomodel2(B,C),B,A) ) )).
fof(fc52_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) ) => ( v1_partfun1(k7_fomodel4(A,B,C),k35_fomodel1(A)) & v3_relat_2(k7_fomodel4(A,B,C)) & v8_relat_2(k7_fomodel4(A,B,C)) ) ) )).
fof(fc52_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v2_glib_003(A) ) => ( v1_relat_1(k6_glib_003(A)) & v1_funct_1(k6_glib_003(A)) & v1_finset_1(k6_glib_003(A)) ) ) )).
fof(fc52_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v2_membered(B) ) => v1_xboole_0(k14_member_1(B,A)) ) )).
fof(fc52_membered,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v4_membered(B) ) => v4_membered(k5_xboole_0(A,B)) ) )).
fof(fc52_pcs_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & l2_pcs_0(A) & v3_orders_2(B) & l2_pcs_0(B) ) => v3_orders_2(k19_pcs_0(A,B)) ) )).
fof(fc52_valued_0,axiom,( ! [A] : ( v4_membered(A) => ( v1_relat_1(k4_relat_1(A)) & v5_relat_1(k4_relat_1(A),k3_numbers) ) ) )).
fof(fc52_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_int_1(D) ) => ( v1_funct_1(k24_valued_1(C,D)) & v1_partfun1(k24_valued_1(C,D),A) ) ) )).
fof(fc52_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k14_valued_2(A,B)) & v1_funct_1(k14_valued_2(A,B)) & v1_finseq_1(k14_valued_2(A,B)) ) ) )).
fof(fc53_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k4_xboole_0(k1_tarski(A),k2_tarski(A,B))) )).
fof(fc53_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v15_fomodel1(C,B) & v3_fomodel2(C,B,k1_nat_1(A,1)) & ~ v5_fomodel2(C,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => v3_fomodel2(k38_fomodel2(B,C),B,A) ) )).
fof(fc53_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k13_fomodel0(D,B),k35_fomodel2(A,C)),2,A,k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k25_fomodel4(A))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k35_fomodel4(A))),k1_tarski(k4_tarski(B,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D)))) ) )).
fof(fc53_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v3_glib_003(A) ) => ( v1_relat_1(k7_glib_003(A)) & v1_funct_1(k7_glib_003(A)) & v1_finset_1(k7_glib_003(A)) ) ) )).
fof(fc53_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v2_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k14_member_1(A,B)) ) )).
fof(fc53_membered,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v5_membered(B) ) => v5_membered(k5_xboole_0(A,B)) ) )).
fof(fc53_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k35_valued_1(B)) & v1_funct_1(k35_valued_1(B)) & v1_valued_0(k35_valued_1(B)) & v3_partfun3(k35_valued_1(B)) ) ) )).
fof(fc53_pcs_0,axiom,( ! [A] : ! [B] : ( ( v4_pcs_0(A) & l2_pcs_0(A) & v4_pcs_0(B) & l2_pcs_0(B) ) => v4_pcs_0(k19_pcs_0(A,B)) ) )).
fof(fc53_valued_0,axiom,( ! [A] : ( v5_membered(A) => ( v1_relat_1(k4_relat_1(A)) & v5_relat_1(k4_relat_1(A),k4_numbers) ) ) )).
fof(fc53_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v6_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v7_ordinal1(D) ) => ( v1_funct_1(k24_valued_1(C,D)) & v1_partfun1(k24_valued_1(C,D),A) ) ) )).
fof(fc53_valued_2,axiom,( ! [A] : ! [B] : ( ( v1_valued_2(A) & m1_finseq_1(B,A) ) => ( v1_relat_1(k15_valued_2(B)) & v1_funct_1(k15_valued_2(B)) & v1_finseq_1(k15_valued_2(B)) ) ) )).
fof(fc54_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k1_xfamily(k4_tarski(A,B)),A)) )).
fof(fc54_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ v1_xboole_0(k3_xboole_0(k2_relset_1(k5_fomodel1(A),B),k16_fomodel1(A))) ) )).
fof(fc54_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k13_fomodel0(C,B),k35_fomodel2(A,D)),3,A,k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k25_fomodel4(A))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k35_fomodel4(A))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k34_fomodel4(A))),k1_tarski(k4_tarski(B,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D)))) ) )).
fof(fc54_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( v1_relat_1(k5_glib_003(A)) & v4_relat_1(k5_glib_003(A),k7_glib_000(A)) & v1_funct_1(k5_glib_003(A)) & v1_partfun1(k5_glib_003(A),k7_glib_000(A)) & v3_valued_0(k5_glib_003(A)) ) ) )).
fof(fc54_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v2_membered(B) ) => v2_membered(k14_member_1(A,B)) ) )).
fof(fc54_membered,axiom,( ! [A] : ! [B] : ( ( v6_membered(A) & v6_membered(B) ) => v6_membered(k5_xboole_0(A,B)) ) )).
fof(fc54_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k35_valued_1(B)) & v1_funct_1(k35_valued_1(B)) & v1_valued_0(k35_valued_1(B)) & v4_partfun3(k35_valued_1(B)) ) ) )).
fof(fc54_pcs_0,axiom,( ! [A] : ! [B] : ( ( v6_pcs_0(A) & l2_pcs_0(A) & v6_pcs_0(B) & l2_pcs_0(B) ) => v6_pcs_0(k19_pcs_0(A,B)) ) )).
fof(fc54_valued_0,axiom,( ! [A] : ( v6_membered(A) => ( v1_relat_1(k4_relat_1(A)) & v4_valued_0(k4_relat_1(A)) ) ) )).
fof(fc54_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_xcmplx_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v1_finseq_1(k24_valued_1(A,B)) ) ) )).
fof(fc55_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k2_xfamily(k4_tarski(A,B)),B)) )).
fof(fc55_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ v1_xboole_0(k3_xboole_0(k10_xtuple_0(B),k16_fomodel1(A))) ) )).
fof(fc55_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel2(A,B),k35_fomodel2(A,C)),k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),C)),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k33_fomodel4(A)),k5_lang1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel2(A,B),k35_fomodel2(A,C)),k35_fomodel2(A,B)),k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel2(A,B),k35_fomodel2(A,C)),k35_fomodel2(A,C)))) ) )).
fof(fc55_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v9_glib_003(A) ) => ( v1_relat_1(k6_glib_003(A)) & v1_funct_1(k6_glib_003(A)) & v3_valued_0(k6_glib_003(A)) ) ) )).
fof(fc55_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k15_member_1(A,B)) ) )).
fof(fc55_membered,axiom,( v7_membered(k2_numbers) )).
fof(fc55_pcs_0,axiom,( ! [A] : ! [B] : ( l2_pcs_0(A) => ( ~ v2_struct_0(k20_pcs_0(A,B)) & v12_pcs_0(k20_pcs_0(A,B)) ) ) )).
fof(fc55_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v1_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc55_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k30_valued_1(A)) & v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A)) ) ) )).
fof(fc56_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => v1_relat_1(k13_fomodel0(B,A)) ) )).
fof(fc56_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => v1_xboole_0(k4_xboole_0(k37_fomodel1(A),k9_xtuple_0(C))) ) )).
fof(fc56_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),B,C),C),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k1_xboole_0) ) )).
fof(fc56_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) & v10_glib_003(A) ) => ( v1_relat_1(k7_glib_003(A)) & v1_funct_1(k7_glib_003(A)) & v3_valued_0(k7_glib_003(A)) ) ) )).
fof(fc56_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_membered(B) ) => v1_xboole_0(k15_member_1(B,A)) ) )).
fof(fc56_membered,axiom,( v7_membered(k1_numbers) )).
fof(fc56_pcs_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & l2_pcs_0(A) ) => ( v3_orders_2(k20_pcs_0(A,B)) & v12_pcs_0(k20_pcs_0(A,B)) ) ) )).
fof(fc56_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v2_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v2_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc56_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k30_valued_1(A)) & v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A)) & v3_valued_0(k30_valued_1(A)) ) ) )).
fof(fc57_fomodel0,axiom,( ! [A] : ! [B] : ( v1_funct_1(A) => v1_funct_1(k13_fomodel0(B,A)) ) )).
fof(fc57_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v15_fomodel1(C,B) & v4_fomodel2(C,B) & ~ v5_fomodel2(C,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(D,k15_fomodel2(B,A)) ) => v1_xboole_0(k5_xboole_0(k25_fomodel2(B,A,D,C),k20_bvfunc_1(k25_fomodel2(B,A,D,k37_fomodel2(B,C)),k25_fomodel2(B,A,D,k39_fomodel2(B,C))))) ) )).
fof(fc57_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) ) => ( v1_relat_1(k5_fomodel3(A,C)) & v1_funct_1(k5_fomodel3(A,C)) & v1_fomodel2(k5_fomodel3(A,C),A,k35_fomodel1(A)) & v3_fomodel3(k5_fomodel3(A,C),A,k35_fomodel1(A),k8_fomodel4(A,B,C)) ) ) )).
fof(fc57_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_membered(B) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k15_member_1(A,B)) ) )).
fof(fc57_membered,axiom,( v7_membered(k3_numbers) )).
fof(fc57_partfun3,axiom,( ! [A] : ! [B] : ( ( v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k35_valued_1(B)) & v2_relat_1(k35_valued_1(B)) & v1_funct_1(k35_valued_1(B)) & v1_valued_0(k35_valued_1(B)) ) ) )).
fof(fc57_pcs_0,axiom,( ! [A] : ! [B] : ( ( v4_pcs_0(A) & l2_pcs_0(A) ) => ( v4_pcs_0(k20_pcs_0(A,B)) & v12_pcs_0(k20_pcs_0(A,B)) ) ) )).
fof(fc57_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v3_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v3_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc57_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) ) => ( v1_relat_1(k30_valued_1(A)) & v5_relat_1(k30_valued_1(A),k3_numbers) & v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A)) ) ) )).
fof(fc58_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k13_fomodel0(B,A)) & v1_finseq_1(k13_fomodel0(B,A)) ) ) )).
fof(fc58_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k40_fomodel2(A)) ) )).
fof(fc58_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) ) => ( v1_relat_1(k40_fomodel4(A,B,C)) & v4_relat_1(k40_fomodel4(A,B,C),k37_fomodel1(A)) & v1_funct_1(k40_fomodel4(A,B,C)) ) ) )).
fof(fc58_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_membered(B) ) => v1_membered(k15_member_1(A,B)) ) )).
fof(fc58_membered,axiom,( v7_membered(k4_numbers) )).
fof(fc58_partfun3,axiom,( ! [A] : ! [B] : ( ( v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k30_valued_1(B)) & v2_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B)) ) ) )).
fof(fc58_pcs_0,axiom,( ! [A] : ! [B] : ( ( v6_pcs_0(A) & l2_pcs_0(A) ) => ( v6_pcs_0(k20_pcs_0(A,B)) & v12_pcs_0(k20_pcs_0(A,B)) ) ) )).
fof(fc58_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) ) => ( v1_relat_1(k3_relat_1(A,B)) & v5_relat_1(k3_relat_1(A,B),k3_numbers) ) ) )).
fof(fc58_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) ) => ( v1_relat_1(k30_valued_1(A)) & v5_relat_1(k30_valued_1(A),k4_numbers) & v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A)) ) ) )).
fof(fc59_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k13_fomodel0(B,A)) & v1_funct_1(k13_fomodel0(B,A)) & v3_card_1(k13_fomodel0(B,A),k3_finseq_1(A)) & v1_finseq_1(k13_fomodel0(B,A)) ) ) )).
fof(fc59_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v1_xboole_0(k4_xboole_0(k40_fomodel2(A),k30_fomodel2(A))) ) )).
fof(fc59_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) ) => ( v1_relat_1(k40_fomodel4(A,B,C)) & v1_funct_1(k40_fomodel4(A,B,C)) & v1_fomodel2(k40_fomodel4(A,B,C),A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C))) ) ) )).
fof(fc59_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v3_membered(B) ) => v3_membered(k15_member_1(A,B)) ) )).
fof(fc59_membered,axiom,( v7_membered(k4_ordinal1) )).
fof(fc59_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v3_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B)) & v4_partfun3(k30_valued_1(B)) ) ) )).
fof(fc59_pcs_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_pcs_0(A) ) => ( ~ v2_struct_0(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A)) ) ) )).
fof(fc59_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) ) => ( v1_relat_1(k3_relat_1(A,B)) & v5_relat_1(k3_relat_1(A,B),k4_numbers) ) ) )).
fof(fc59_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C),A) ) ) )).
fof(fc5_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_abcmiz_0(A)) ) => ( v1_waybel_0(k3_abcmiz_0(A,B),A) & v12_waybel_0(k3_abcmiz_0(A,B),A) ) ) )).
fof(fc5_abcmiz_a,axiom,( ~ v1_xboole_0(k4_abcmiz_a) )).
fof(fc5_abian,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v1_abian(A) ) => v1_abian(k6_xcmplx_0(A,1)) ) )).
fof(fc5_afinsq_1,axiom,( ! [A] : ( v1_relat_1(k4_afinsq_1(A)) & v5_relat_1(k4_afinsq_1(A),A) & v5_ordinal1(k4_afinsq_1(A)) & v1_funct_1(k4_afinsq_1(A)) & v1_xboole_0(k4_afinsq_1(A)) & v1_finset_1(k4_afinsq_1(A)) ) )).
fof(fc5_afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_valued_0(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v5_ordinal1(k1_valued_1(A,B)) ) ) )).
fof(fc5_afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v2_tdgroup(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v7_struct_0(k5_afvect0(A,B)) & v8_algstr_0(k5_afvect0(A,B)) ) ) )).
fof(fc5_algstr_1,axiom,( v3_group_1(k8_algstr_0) )).
fof(fc5_algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k5_algstr_4(A,B)) & v1_funct_2(k5_algstr_4(A,B),u1_struct_0(A),u1_struct_0(k4_algstr_4(A,B))) & v1_group_6(k5_algstr_4(A,B),A,k4_algstr_4(A,B)) ) ) )).
fof(fc5_altcat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( v1_relat_1(k8_pboole(B,C)) & v4_relat_1(k8_pboole(B,C),A) & v1_funct_1(k8_pboole(B,C)) ) ) )).
fof(fc5_altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & v2_altcat_3(C,A,B,B) & m1_subset_1(C,k1_altcat_1(A,B,B)) & v2_altcat_3(D,A,B,B) & m1_subset_1(D,k1_altcat_1(A,B,B)) ) => v2_altcat_3(k5_altcat_1(A,B,B,B,D,C),A,B,B) ) )).
fof(fc5_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k2_altcat_4(A)) & v2_altcat_1(k2_altcat_4(A)) & v6_altcat_1(k2_altcat_4(A)) & v3_altcat_2(k2_altcat_4(A),A) ) ) )).
fof(fc5_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v1_int_1(k1_funct_1(A,B)) ) )).
fof(fc5_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_amistd_1(k5_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc5_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v3_memstr_0(k4_amistd_1(A),A) & v1_extpro_1(k4_amistd_1(A),A) ) ) )).
fof(fc5_amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v2_extpro_1(C,A,B) & m1_subset_1(C,u1_compos_1(B)) ) => v1_xboole_0(k2_amistd_1(A,B,C)) ) )).
fof(fc5_amistd_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ~ v1_zfmisc_1(k4_memstr_0(A,B,k4_struct_0(B))) ) )).
fof(fc5_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & v4_amistd_5(k4_amistd_1(A),A) ) ) )).
fof(fc5_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) & l1_rlvect_1(A) ) => ( v1_collsp(k5_anproj_1(A)) & v4_anproj_2(k5_anproj_1(A)) & v5_anproj_2(k5_anproj_1(A)) & v6_anproj_2(k5_anproj_1(A)) ) ) )).
fof(fc5_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & l1_unialg_1(A) ) => v2_freealg(k10_aofa_000(A),A) ) )).
fof(fc5_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( v1_relat_1(k8_aofa_a00(A,B,C,D,E,F,G,H)) & v1_funct_1(k8_aofa_a00(A,B,C,D,E,F,G,H)) & v3_card_1(k8_aofa_a00(A,B,C,D,E,F,G,H),8) & v1_finseq_1(k8_aofa_a00(A,B,C,D,E,F,G,H)) ) )).
fof(fc5_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v4_msualg_1(E,A) & v4_msafree4(E,A,C) & v17_aofa_a00(E,A) & v20_aofa_a00(E,4,1,A) & l3_msualg_1(E,A) & v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,k12_aofa_a00(A,C,E,u4_aofa_a00(A,B,C,D))) & m1_subset_1(H,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),F)) ) => v1_int_1(k1_funct_1(k1_msafree4(u1_struct_0(A),G,F),H)) ) )).
fof(fc5_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ v1_xboole_0(k3_card_3(B)) ) )).
fof(fc5_armstrng,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v6_armstrng(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => ~ v1_xboole_0(k8_armstrng(A,B)) ) )).
fof(fc5_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v1_funct_1(k4_asympt_1(A)) & v1_funct_2(k4_asympt_1(A),k4_ordinal1,k1_numbers) & v4_asympt_0(k4_asympt_1(A)) ) ) )).
fof(fc5_autalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k7_autalg_1(A,B)) & v15_algstr_0(k7_autalg_1(A,B)) & v2_group_1(k7_autalg_1(A,B)) & v3_group_1(k7_autalg_1(A,B)) ) ) )).
fof(fc5_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k17_pre_poly(A),k15_pre_poly(A)) & v1_relat_2(k17_pre_poly(A)) & v4_relat_2(k17_pre_poly(A)) & v8_relat_2(k17_pre_poly(A)) & v2_bagorder(k17_pre_poly(A),A) ) ) )).
fof(fc5_bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) & m4_bcialg_2(C,A,B) ) => ( v2_bcialg_1(k9_bcialg_2(A,C)) & v3_bcialg_1(k9_bcialg_2(A,C)) & v4_bcialg_1(k9_bcialg_2(A,C)) & v5_bcialg_1(k9_bcialg_2(A,C)) & v7_bcialg_1(k9_bcialg_2(A,C)) ) ) )).
fof(fc5_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m4_bcialg_2(D,A,C) ) => ( v2_bcialg_1(k9_bcialg_6(A,B,C,D)) & v3_bcialg_1(k9_bcialg_6(A,B,C,D)) & v4_bcialg_1(k9_bcialg_6(A,B,C,D)) & v5_bcialg_1(k9_bcialg_6(A,B,C,D)) & v7_bcialg_1(k9_bcialg_6(A,B,C,D)) ) ) )).
fof(fc5_binop_2,axiom,( v1_funct_1(k15_binop_2) & v1_funct_2(k15_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_binop_1(k15_binop_2,k3_numbers) & v2_binop_1(k15_binop_2,k3_numbers) )).
fof(fc5_bor_cant,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k7_bor_cant(A,C),B) & v1_funct_1(k7_bor_cant(A,C)) & v1_funct_2(k7_bor_cant(A,C),k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(fc5_borsuk_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ~ v2_struct_0(k2_borsuk_1(A,B)) & v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) ) ) )).
fof(fc5_borsuk_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v6_pre_topc(k2_borsuk_1(A,B)) ) ) )).
fof(fc5_borsuk_3,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_compts_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v1_compts_1(k1_pre_topc(A,B)) ) ) )).
fof(fc5_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k2_xcmplx_0(B,A)) ) )).
fof(fc5_borsuk_6,axiom,( v1_funct_1(k3_borsuk_6) & v1_funct_2(k3_borsuk_6,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & v5_pre_topc(k3_borsuk_6,k5_topmetr,k5_topmetr) )).
fof(fc5_borsuk_7,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k9_borsuk_7(A,B)) & v1_funct_2(k9_borsuk_7(A,B),u1_struct_0(k7_toprealb(2,k4_struct_0(k15_euclid(2)),A)),u1_struct_0(k7_toprealb(2,k4_struct_0(k15_euclid(2)),A))) & v3_tops_2(k9_borsuk_7(A,B),k7_toprealb(2,k4_struct_0(k15_euclid(2)),A),k7_toprealb(2,k4_struct_0(k15_euclid(2)),A)) ) ) )).
fof(fc5_bspace,axiom,( ! [A] : ( v1_finset_1(A) => ( ~ v2_struct_0(k7_bspace(A)) & v1_matrlin(k7_bspace(A),k2_bspace) ) ) )).
fof(fc5_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_funct_1(k12_bvfunc_1(A)) & v3_funct_1(k12_bvfunc_1(A)) & v1_funct_2(k12_bvfunc_1(A),A,k5_margrel1) ) ) )).
fof(fc5_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_group_1(k11_c0sp1(A)) ) )).
fof(fc5_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v13_algstr_0(k3_c0sp2(A)) & v2_rlvect_1(k3_c0sp2(A)) & v3_rlvect_1(k3_c0sp2(A)) & v4_rlvect_1(k3_c0sp2(A)) & v5_rlvect_1(k3_c0sp2(A)) & v6_rlvect_1(k3_c0sp2(A)) & v7_rlvect_1(k3_c0sp2(A)) & v8_rlvect_1(k3_c0sp2(A)) & v1_vectsp_1(k3_c0sp2(A)) & v3_vectsp_1(k3_c0sp2(A)) & v3_group_1(k3_c0sp2(A)) & v5_group_1(k3_c0sp2(A)) & v2_funcsdom(k3_c0sp2(A)) ) ) )).
fof(fc5_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => v1_card_1(k3_card_1(A)) ) )).
fof(fc5_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => ~ v1_xboole_0(k4_card_3(A)) ) )).
fof(fc5_card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) ) => ( ~ v1_finset_1(k2_card_2(A,B)) & v1_card_1(k2_card_2(A,B)) ) ) )).
fof(fc5_cardfin2,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_relat_1(B) & v1_xboole_0(B) & v1_funct_1(B) ) => ( v1_relat_1(k24_valued_1(B,A)) & v1_xboole_0(k24_valued_1(B,A)) & v1_funct_1(k24_valued_1(B,A)) ) ) )).
fof(fc5_cat_7,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) ) => v11_cat_6(k9_cat_6(A,B),A) ) )).
fof(fc5_catalg_1,axiom,( ! [A] : ( v1_msualg_1(k2_catalg_1(A)) & v3_catalg_1(k2_catalg_1(A)) ) )).
fof(fc5_cayldick,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => v2_relat_1(k6_afinsq_1(A,B)) ) )).
fof(fc5_cayley,axiom,( ! [A] : ( v7_ordinal1(A) => ( v15_algstr_0(k10_matrix_1(A)) & v1_monoid_0(k10_matrix_1(A)) ) ) )).
fof(fc5_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_group_1(k7_cc0sp1(A)) ) )).
fof(fc5_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k3_cc0sp2(A)) & v13_algstr_0(k3_cc0sp2(A)) & v2_rlvect_1(k3_cc0sp2(A)) & v3_rlvect_1(k3_cc0sp2(A)) & v4_rlvect_1(k3_cc0sp2(A)) & v1_vectsp_1(k3_cc0sp2(A)) & v3_vectsp_1(k3_cc0sp2(A)) & v3_group_1(k3_cc0sp2(A)) & v5_group_1(k3_cc0sp2(A)) & v2_clvect_1(k3_cc0sp2(A)) & v3_clvect_1(k3_cc0sp2(A)) & v4_clvect_1(k3_cc0sp2(A)) & v5_clvect_1(k3_cc0sp2(A)) & v2_cfuncdom(k3_cc0sp2(A)) ) ) )).
fof(fc5_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v3_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k24_valued_1(B,A)) & v1_partfun1(k24_valued_1(B,A),k2_numbers) & v3_cfdiff_1(k24_valued_1(B,A)) ) ) )).
fof(fc5_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_cfuncdom(A)) & v36_algstr_0(k7_cfuncdom(A)) ) ) )).
fof(fc5_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & v8_struct_0(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(A,B)) & v8_struct_0(k2_circcomb(A,B)) & v1_msualg_1(k2_circcomb(A,B)) ) ) )).
fof(fc5_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) & m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C))) & v4_msualg_1(E,A) & l3_msualg_1(E,A) ) => ~ v1_xboole_0(k2_circtrm1(A,B,C,D,E)) ) )).
fof(fc5_classes2,axiom,( ! [A] : v1_ordinal1(k5_classes1(A)) )).
fof(fc5_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v2_struct_0(k6_clopban1(A,B)) & v13_algstr_0(k6_clopban1(A,B)) & v2_rlvect_1(k6_clopban1(A,B)) & v3_rlvect_1(k6_clopban1(A,B)) & v4_rlvect_1(k6_clopban1(A,B)) & v1_clvect_1(k6_clopban1(A,B)) & v2_clvect_1(k6_clopban1(A,B)) & v3_clvect_1(k6_clopban1(A,B)) & v4_clvect_1(k6_clopban1(A,B)) & v5_clvect_1(k6_clopban1(A,B)) ) ) )).
fof(fc5_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => v1_group_1(k8_clopban2(A)) ) )).
fof(fc5_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v7_closure1(B,A) & l1_closure1(B,A) ) => v2_mssubfam(u1_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc5_coh_sp,axiom,( ! [A] : ( ~ v2_struct_0(k13_coh_sp(A)) & ~ v11_struct_0(k13_coh_sp(A)) & v1_cat_1(k13_coh_sp(A)) & v2_cat_1(k13_coh_sp(A)) & v3_cat_1(k13_coh_sp(A)) & v4_cat_1(k13_coh_sp(A)) & v5_cat_1(k13_coh_sp(A)) ) )).
fof(fc5_cohsp_1,axiom,( ! [A] : ( v4_finsub_1(k5_finsub_1(A)) & v1_cohsp_1(k5_finsub_1(A)) & v2_cohsp_1(k5_finsub_1(A)) ) )).
fof(fc5_compact1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_pre_topc(k1_compact1(A)) & v2_pre_topc(k1_compact1(A)) ) ) )).
fof(fc5_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_metric_1(k3_compl_sp(A,B,C)) & v9_metric_1(k3_compl_sp(A,B,C)) ) ) )).
fof(fc5_complex1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) ) => ( ~ v8_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A)) ) ) )).
fof(fc5_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B)) ) ) )).
fof(fc5_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( ~ v1_xboole_0(k5_compos_1(A,B,C)) & v1_relat_1(k5_compos_1(A,B,C)) & v4_relat_1(k5_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k5_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k5_compos_1(A,B,C)) & v1_finset_1(k5_compos_1(A,B,C)) ) ) )).
fof(fc5_compos_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_amistd_4(A) & l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) & v1_compos_2(B,A) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) & v1_compos_2(C,A) ) => ( v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) & v1_compos_2(k7_compos_1(A,B,C),A) ) ) )).
fof(fc5_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => v1_tops_2(u1_pre_topc(A),A) ) )).
fof(fc5_comput_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ~ v1_xboole_0(k4_comput_1(A,B)) & v1_relat_1(k4_comput_1(A,B)) & v4_relat_1(k4_comput_1(A,B),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k4_comput_1(A,B)) & v4_valued_0(k4_comput_1(A,B)) & v2_margrel1(k4_comput_1(A,B)) & v2_comput_1(k4_comput_1(A,B)) ) ) )).
fof(fc5_comseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_xcmplx_0(B) ) => ( v1_funct_1(k24_valued_1(A,B)) & v1_funct_2(k24_valued_1(A,B),k4_ordinal1,k2_numbers) & v2_comseq_2(k24_valued_1(A,B)) ) ) )).
fof(fc5_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k4_comseq_3(A)) & v1_funct_2(k4_comseq_3(A),k4_ordinal1,k1_numbers) & v2_comseq_2(k4_comseq_3(A)) ) ) )).
fof(fc5_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( ~ v2_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & v4_lattice3(k11_conlat_1(A)) ) ) )).
fof(fc5_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_clvect_1(B,A) ) => ~ v1_xboole_0(k17_convex4(A,B)) ) )).
fof(fc5_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & l1_rlvect_1(B) ) => v13_algstr_0(k3_convfun1(A,B)) ) )).
fof(fc5_csspace,axiom,( ~ v2_struct_0(g1_csspace(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace),k15_csspace)) & v1_csspace(g1_csspace(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace),k15_csspace)) )).
fof(fc5_csspace3,axiom,( ~ v2_struct_0(k3_csspace3) & v13_algstr_0(k3_csspace3) & v2_rlvect_1(k3_csspace3) & v3_rlvect_1(k3_csspace3) & v4_rlvect_1(k3_csspace3) & v3_normsp_0(k3_csspace3) & v4_normsp_0(k3_csspace3) & v2_clvect_1(k3_csspace3) & v3_clvect_1(k3_csspace3) & v4_clvect_1(k3_csspace3) & v5_clvect_1(k3_csspace3) & v8_clvect_1(k3_csspace3) )).
fof(fc5_csspace4,axiom,( ~ v2_struct_0(k3_csspace4) & v13_algstr_0(k3_csspace4) & v2_rlvect_1(k3_csspace4) & v3_rlvect_1(k3_csspace4) & v4_rlvect_1(k3_csspace4) & v3_normsp_0(k3_csspace4) & v4_normsp_0(k3_csspace4) & v2_clvect_1(k3_csspace4) & v3_clvect_1(k3_csspace4) & v4_clvect_1(k3_csspace4) & v5_clvect_1(k3_csspace4) & v8_clvect_1(k3_csspace4) )).
fof(fc5_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( v1_relat_1(k5_relat_1(B,C)) & v1_yellow_1(k5_relat_1(B,C)) ) ) )).
fof(fc5_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v3_dilworth(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k6_dilworth(A)) ) )).
fof(fc5_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => v1_dist_1(k19_finseq_1(A),A) ) )).
fof(fc5_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(k8_dualsp01(A)) & v13_algstr_0(k8_dualsp01(A)) & v1_rlvect_1(k8_dualsp01(A)) & v2_rlvect_1(k8_dualsp01(A)) & v3_rlvect_1(k8_dualsp01(A)) & v4_rlvect_1(k8_dualsp01(A)) & v5_rlvect_1(k8_dualsp01(A)) & v6_rlvect_1(k8_dualsp01(A)) & v7_rlvect_1(k8_dualsp01(A)) & v8_rlvect_1(k8_dualsp01(A)) & v1_monoid_0(k8_dualsp01(A)) ) ) )).
fof(fc5_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v1_partfun1(k7_ec_pf_1(A),k3_ec_pf_1(k9_int_3(A))) & v3_relat_2(k7_ec_pf_1(A)) & v8_relat_2(k7_ec_pf_1(A)) ) ) )).
fof(fc5_ens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ~ v1_xboole_0(k16_ens_1(A)) ) )).
fof(fc5_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc5_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => v6_euclid_7(k1_tarski(k5_euclid(A)),A) ) )).
fof(fc5_euclid_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v3_card_1(k30_valued_1(B),A) & v1_valued_0(k30_valued_1(B)) ) ) )).
fof(fc5_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) ) => ( v1_relat_1(k1_tarski(k4_tarski(A,C))) & v5_relat_1(k1_tarski(k4_tarski(A,C)),B) & v1_funct_1(k1_tarski(k4_tarski(A,C))) & v1_exchsort(k1_tarski(k4_tarski(A,C))) ) ) )).
fof(fc5_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v3_memstr_0(k1_extpro_1(A),A) & v1_extpro_1(k1_extpro_1(A),A) ) ) )).
fof(fc5_facirc_1,axiom,( ! [A] : ! [B] : ( ~ v1_facirc_1(A) => ~ v1_facirc_1(k4_xboole_0(A,B)) ) )).
fof(fc5_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v1_fcont_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k18_valued_1(A,B)) & v1_fcont_1(k18_valued_1(A,B)) ) ) )).
fof(fc5_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => v3_rcomp_1(k3_limfunc1(A)) ) )).
fof(fc5_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => v1_setfam_1(k1_finseq_1(A)) ) )).
fof(fc5_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v20_lattices(B,k1_lattice2(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) => v21_lattices(k4_filter_2(A,B),A) ) )).
fof(fc5_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => ( v5_relat_1(k4_finance2(A,B),k12_prob_1) & v1_funct_1(k4_finance2(A,B)) & v1_funct_2(k4_finance2(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) ) ) )).
fof(fc5_finseq_1,axiom,( ! [A] : v1_xboole_0(k6_finseq_1(A)) )).
fof(fc5_finseq_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k4_finseq_2(A,B)) ) )).
fof(fc5_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => v1_funcop_1(k11_finseq_1(A,B,C)) ) )).
fof(fc5_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : v3_card_1(k7_finseq_4(A,B,C,D),4) )).
fof(fc5_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v2_funct_1(C) & m1_finseq_1(C,A) ) => v2_funct_1(k1_finseq_5(A,C,B)) ) )).
fof(fc5_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & ~ v1_xboole_0(C) & v1_finseq_6(C,A) & m1_finseq_1(C,A) ) => v1_finseq_6(k1_finseq_6(A,C,B),A) ) )).
fof(fc5_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : v1_finset_1(k3_enumset1(A,B,C,D,E)) )).
fof(fc5_fomodel0,axiom,( ! [A] : ( v1_xboole_0(A) => v2_setfam_1(k1_tarski(A)) ) )).
fof(fc5_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v7_fomodel1(k7_fomodel1(A),A) ) )).
fof(fc5_fomodel2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_xboole_0(k6_fomodel2(B,A)) & v1_relat_1(k6_fomodel2(B,A)) & v1_funct_1(k6_fomodel2(B,A)) ) ) )).
fof(fc5_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ( v1_relat_1(k5_relat_1(k2_fomodel3(A,B),k4_finseq_2(k1_int_2(k19_fomodel1(A,B)),k35_fomodel1(A)))) & v5_relat_1(k5_relat_1(k2_fomodel3(A,B),k4_finseq_2(k1_int_2(k19_fomodel1(A,B)),k35_fomodel1(A))),k32_fomodel1(A)) ) ) )).
fof(fc5_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_fomodel4(B,A) & v1_fomodel4(C,A) ) => v2_fomodel4(k2_tarski(B,C),A) ) )).
fof(fc5_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => ( ~ v2_struct_0(k7_freealg(A,B)) & v1_unialg_1(k7_freealg(A,B)) & v2_unialg_1(k7_freealg(A,B)) & v3_unialg_1(k7_freealg(A,B)) & v4_unialg_1(k7_freealg(A,B)) & v3_freealg(k7_freealg(A,B)) ) ) )).
fof(fc5_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ( v2_fsm_1(k11_fsm_1(A,B,C),A,B) & v5_fsm_1(k11_fsm_1(A,B,C),A,B) ) ) )).
fof(fc5_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_fsm_3(C,A,B) ) => ( ~ v2_struct_0(k2_fsm_3(A,B,C)) & v1_fsm_3(k2_fsm_3(A,B,C),A,k9_flang_1(A)) & v2_fsm_3(k2_fsm_3(A,B,C),A,k9_flang_1(A)) ) ) )).
fof(fc5_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_relat_1(k3_funcop_1(A,B,C)) & v1_funct_1(k3_funcop_1(A,B,C)) ) ) )).
fof(fc5_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v36_algstr_0(k11_funcsdom(A)) & v1_group_1(k11_funcsdom(A)) ) ) )).
fof(fc5_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => ( v1_relat_1(k2_relat_1(A)) & v1_funct_1(k2_relat_1(A)) ) ) )).
fof(fc5_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k3_relat_1(D,C)) & v1_funct_2(k3_relat_1(D,C),A,B) ) ) )).
fof(fc5_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v2_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) ) ) )).
fof(fc5_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_xboole_0(k1_funct_7(A,B,C)) & v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) ) ) )).
fof(fc5_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_relat_1(k4_functor0(A,B,C,D,E)) & v1_funct_1(k4_functor0(A,B,C,D,E)) ) ) )).
fof(fc5_gate_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ~ v1_xboole_0(k3_gate_1(A,B)) ) )).
fof(fc5_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) & v1_xcmplx_0(B) & v1_gaussint(B) ) => v1_gaussint(k3_xcmplx_0(A,B)) ) )).
fof(fc5_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) ) => v1_finset_1(k6_glib_000(A)) ) )).
fof(fc5_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_001(B,A) & m3_glib_001(B,A) ) => v1_glib_001(k6_glib_001(A,B),A) ) )).
fof(fc5_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => v13_glib_000(k10_glib_004(A,B)) ) )).
fof(fc5_goboard2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ~ v3_relat_1(k2_goboard2(A)) & v1_matrix_0(k2_goboard2(A)) & v1_goboard1(k2_goboard2(A)) & v2_goboard1(k2_goboard2(A)) & v3_goboard1(k2_goboard2(A)) & v4_goboard1(k2_goboard2(A)) ) ) )).
fof(fc5_gr_cy_1,axiom,( ! [A] : ( v7_ordinal1(A) => v6_membered(k6_ordinal1(A)) ) )).
fof(fc5_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xboole_0(C) ) => v1_xboole_0(k2_graph_3(A,B,C)) ) )).
fof(fc5_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v1_finset_1(k5_graph_5(A,B,C,D)) ) )).
fof(fc5_grcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) & ~ v2_struct_0(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k3_relat_1(D,E)) & v1_funct_2(k3_relat_1(D,E),u1_struct_0(A),u1_struct_0(C)) & v13_vectsp_1(k3_relat_1(D,E),A,C) ) ) )).
fof(fc5_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & v1_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( v1_funct_1(k6_groeb_3(A,B,C,D,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D)))) & v1_funct_2(k6_groeb_3(A,B,C,D,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k6_groeb_3(A,B,C,D,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))),C) & v3_polynom7(k6_groeb_3(A,B,C,D,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))),A,C) ) ) )).
fof(fc5_group_10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v7_ordinal1(B) & v1_int_2(B) ) => ( ~ v1_xboole_0(k15_group_10(A,B)) & v1_finset_1(k15_group_10(A,B)) ) ) )).
fof(fc5_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => ( v1_funct_1(k3_group_12(A,B,C)) & v1_funct_2(k3_group_12(A,B,C),u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))) & v3_funct_2(k3_group_12(A,B,C),u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))) & v1_group_6(k3_group_12(A,B,C),k1_group_7(A,B,C),k2_group_12(A,B,C)) ) ) )).
fof(fc5_group_14,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v13_algstr_0(k2_group_14(A)) & v2_rlvect_1(k2_group_14(A)) & v3_rlvect_1(k2_group_14(A)) & v4_rlvect_1(k2_group_14(A)) ) ) )).
fof(fc5_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) ) => ( ~ v2_struct_0(k5_group_6(A,B)) & v15_algstr_0(k5_group_6(A,B)) ) ) )).
fof(fc5_group_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v4_group_7(B,A) ) => ( v15_algstr_0(k2_group_7(A,B)) & v5_group_1(k2_group_7(A,B)) ) ) )).
fof(fc5_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ( v2_group_1(k10_group_9(A,B,C)) & v3_group_1(k10_group_9(A,B,C)) & v3_group_9(k10_group_9(A,B,C),A) ) ) )).
fof(fc5_heyting3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => v1_finset_1(k3_heyting3(A,B)) ) )).
fof(fc5_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( v1_funct_1(k6_hilbasis(A,B)) & v2_funct_1(k6_hilbasis(A,B)) & v1_funct_2(k6_hilbasis(A,B),u1_struct_0(k13_polynom3(k12_polynom1(B,A))),u1_struct_0(k12_polynom1(k1_nat_1(B,1),A))) ) ) )).
fof(fc5_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_funct_1(k1_hilbert3(A,B,C,D)) & v1_funct_2(k1_hilbert3(A,B,C,D),k9_funct_2(A,B),k9_funct_2(A,B)) & v3_funct_2(k1_hilbert3(A,B,C,D),k9_funct_2(A,B),k9_funct_2(A,B)) ) ) )).
fof(fc5_hilbert4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & v1_partit_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & v1_partit_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_funct_1(k1_hilbert3(A,B,C,D)) & v1_funct_2(k1_hilbert3(A,B,C,D),k9_funct_2(A,B),k9_funct_2(A,B)) & v1_partit_2(k1_hilbert3(A,B,C,D)) ) ) )).
fof(fc5_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ( v1_funct_1(k9_polynom3(A)) & v1_funct_2(k9_polynom3(A),k4_ordinal1,u1_struct_0(A)) & v4_hurwitz2(k9_polynom3(A),A) ) ) )).
fof(fc5_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) ) => ( v1_relat_1(k4_index_1(B)) & v2_relat_1(k4_index_1(B)) & v4_relat_1(k4_index_1(B),A) & v1_funct_1(k4_index_1(B)) ) ) )).
fof(fc5_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k3_int_1(A)) ) )).
fof(fc5_int_3,axiom,( v1_int_3(k1_int_3) )).
fof(fc5_int_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v5_relat_1(k7_finseq_1(A,B),k4_numbers) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc5_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k1_interva1(A,k1_subset_1(A),k1_subset_1(A))) ) )).
fof(fc5_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => v9_intpro_1(k11_intpro_1(A)) ) )).
fof(fc5_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v6_tops_1(k1_tops_1(A,k2_pre_topc(A,B)),A) ) )).
fof(fc5_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2),k12_pscomp_1(A),k13_pscomp_1(A))) ) )).
fof(fc5_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v4_pre_topc(k4_topreal1(A),k15_euclid(2)) ) )).
fof(fc5_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => v4_topreal1(k1_jordan1e(A,B)) ) )).
fof(fc5_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m1_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ~ v1_xboole_0(k9_matrix_0(A)) ) )).
fof(fc5_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_jordan23(A) ) => ( v1_relat_1(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) & v2_jordan23(k3_finseq_5(A)) ) ) )).
fof(fc5_jordan2c,axiom,( ! [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) => v2_tops_1(k3_topreal1(2,A),k15_euclid(2)) ) )).
fof(fc5_kurato_1,axiom,( v3_setfam_1(k3_kurato_1(k3_topmetr,k6_kurato_1),u1_struct_0(k3_topmetr)) )).
fof(fc5_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v1_relat_1(k3_lattad_1(A)) & v1_relat_2(k3_lattad_1(A)) ) ) )).
fof(fc5_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v3_binop_1(u1_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc5_lattice3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)) & v4_orders_2(k7_lattice3(A)) & v5_orders_2(k7_lattice3(A)) ) ) )).
fof(fc5_lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ~ v1_xboole_0(k8_lattice5(A,B)) ) )).
fof(fc5_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v15_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k7_latticea(A,B)) & v19_lattices(k7_latticea(A,B),A) & v20_lattices(k7_latticea(A,B),A) ) ) )).
fof(fc5_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v3_lexbfs(k16_lexbfs(A)) ) )).
fof(fc5_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v3_orders_2(k4_lfuzzy_0(A)) & v4_orders_2(k4_lfuzzy_0(A)) & v5_orders_2(k4_lfuzzy_0(A)) & v1_lattice3(k4_lfuzzy_0(A)) & v2_lattice3(k4_lfuzzy_0(A)) & v3_lattice3(k4_lfuzzy_0(A)) & v1_monoid_0(k4_lfuzzy_0(A)) & v9_waybel_1(k4_lfuzzy_0(A)) ) ) )).
fof(fc5_lfuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( v5_relat_1(k5_lfuzzy_1(A,B),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k5_lfuzzy_1(A,B)) & v1_funct_2(k5_lfuzzy_1(A,B),k2_zfmisc_1(A,A),k1_numbers) & v3_lfuzzy_1(k5_lfuzzy_1(A,B),A) ) ) )).
fof(fc5_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k8_lopban_1(A,B)) & v13_algstr_0(k8_lopban_1(A,B)) & v1_rlvect_1(k8_lopban_1(A,B)) & v2_rlvect_1(k8_lopban_1(A,B)) & v3_rlvect_1(k8_lopban_1(A,B)) & v4_rlvect_1(k8_lopban_1(A,B)) & v5_rlvect_1(k8_lopban_1(A,B)) & v6_rlvect_1(k8_lopban_1(A,B)) & v7_rlvect_1(k8_lopban_1(A,B)) & v8_rlvect_1(k8_lopban_1(A,B)) ) ) )).
fof(fc5_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v1_group_1(k8_lopban_2(A)) ) )).
fof(fc5_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k11_lopclset(A)) & v1_pre_topc(k11_lopclset(A)) & v2_pre_topc(k11_lopclset(A)) ) ) )).
fof(fc5_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k13_lpspacc1(A,B,C)) & v1_ideal_1(k13_lpspacc1(A,B,C),k12_lpspacc1(A)) & v1_lpspacc1(k13_lpspacc1(A,B,C),k12_lpspacc1(A)) ) ) )).
fof(fc5_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k10_lpspace1(A,B,C)) & v1_rlvect_1(k10_lpspace1(A,B,C)) & v2_rlvect_1(k10_lpspace1(A,B,C)) & v3_rlvect_1(k10_lpspace1(A,B,C)) & v4_rlvect_1(k10_lpspace1(A,B,C)) & v5_rlvect_1(k10_lpspace1(A,B,C)) & v6_rlvect_1(k10_lpspace1(A,B,C)) & v7_rlvect_1(k10_lpspace1(A,B,C)) & v8_rlvect_1(k10_lpspace1(A,B,C)) ) ) )).
fof(fc5_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v2_struct_0(k2_lpspace2(A,B,C,D)) & v1_rlvect_1(k2_lpspace2(A,B,C,D)) & v2_rlvect_1(k2_lpspace2(A,B,C,D)) & v3_rlvect_1(k2_lpspace2(A,B,C,D)) & v4_rlvect_1(k2_lpspace2(A,B,C,D)) & v5_rlvect_1(k2_lpspace2(A,B,C,D)) & v6_rlvect_1(k2_lpspace2(A,B,C,D)) & v7_rlvect_1(k2_lpspace2(A,B,C,D)) & v8_rlvect_1(k2_lpspace2(A,B,C,D)) ) ) )).
fof(fc5_ltlaxio3,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => v1_finset_1(k5_ltlaxio3(A)) ) )).
fof(fc5_ltlaxio4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => v1_finset_1(k7_ltlaxio4(A)) ) )).
fof(fc5_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,B,k8_cqc_lang(A,k8_cqc_lang(A,B,C),C)),A) ) )).
fof(fc5_margrel1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_card_3(B) ) => ( v1_relat_1(k5_relat_1(A,B)) & v2_margrel1(k5_relat_1(A,B)) ) ) )).
fof(fc5_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) ) => ( v1_funct_1(k5_matrix11(A)) & v1_funct_2(k5_matrix11(A),k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),k3_finseq_2(u1_struct_0(A))),k3_finseq_2(u1_struct_0(A))) & v1_binop_1(k5_matrix11(A),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(fc5_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(k9_matrix_1(A)) ) )).
fof(fc5_matrix_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ( v1_matrix_0(k3_matrix_1(B,A)) & v2_matrix_0(k3_matrix_1(B,A),u1_struct_0(B),A,A) & v2_matrix_6(k3_matrix_1(B,A),A,B) ) ) )).
fof(fc5_matroid0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) ) => ( ~ v2_struct_0(k2_matroid0(A)) & v1_pre_topc(k2_matroid0(A)) ) ) )).
fof(fc5_matrtop1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k1_partfun3(A)) & v1_funct_1(k1_partfun3(A)) & v1_finseq_1(k1_partfun3(A)) ) ) )).
fof(fc5_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_funct_1(k3_struct_0(k15_euclid(A))) & v1_funct_2(k3_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_struct_0(k15_euclid(A)),A) ) ) )).
fof(fc5_mazurulm,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_membered(A) & v3_xxreal_2(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => v4_xxreal_2(k23_member_1(A,B)) ) )).
fof(fc5_measure6,axiom,( ! [A] : ( ( v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v1_setfam_1(k4_measure6(A)) ) )).
fof(fc5_member_1,axiom,( ! [A] : ( v1_xboole_0(A) => ( v1_membered(k5_member_1(A)) & v1_xboole_0(k5_member_1(A)) ) ) )).
fof(fc5_membered,axiom,( v5_membered(k4_numbers) )).
fof(fc5_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & l1_memstr_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ~ v1_xboole_0(k4_memstr_0(A,B,C)) ) )).
fof(fc5_mesfunc7,axiom,( v2_valued_0(k6_finseq_1(k6_numbers)) )).
fof(fc5_metric_1,axiom,( ~ v2_struct_0(k7_metric_1) & v1_metric_1(k7_metric_1) )).
fof(fc5_metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v5_waybel23(A) & l1_pre_topc(A) & v2_pre_topc(B) & v5_waybel23(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v5_waybel23(k2_borsuk_1(A,B)) ) ) )).
fof(fc5_mfold_0,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v3_mfold_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)) ) )).
fof(fc5_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v5_waybel23(k15_euclid(A)) ) ) )).
fof(fc5_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_pre_topc(k4_mfold_2(A)) & v5_waybel23(k4_mfold_2(A)) ) ) )).
fof(fc5_mmlquer2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_2(C) & v6_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_relat_1(k1_mmlquer2(B,C)) & v6_relat_2(k1_mmlquer2(B,C)) ) ) )).
fof(fc5_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_mmlquery(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_mmlquery(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_mmlquery(k2_xboole_0(B,C),A) ) )).
fof(fc5_mod_2,axiom,( v36_algstr_0(k18_mod_2) & v4_vectsp_1(k18_mod_2) )).
fof(fc5_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k2_mod_4(A)) & v2_rlvect_1(k2_mod_4(A)) ) ) )).
fof(fc5_modelc_1,axiom,( ! [A] : ! [B] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_1(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_modelc_1(k8_modelc_1(A,B)) ) )).
fof(fc5_modelc_2,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_modelc_2(k5_modelc_2(A,B)) ) )).
fof(fc5_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ~ v1_xboole_0(k1_orders_1(k1_modelc_3(A))) ) )).
fof(fc5_moebius1,axiom,( ! [A] : ( v1_finset_1(A) => ( v1_relat_1(k4_moebius1(A)) & v4_relat_1(k4_moebius1(A),k4_ordinal1) & v1_funct_1(k4_moebius1(A)) & v1_partfun1(k4_moebius1(A),k4_ordinal1) & v2_pre_poly(k4_moebius1(A)) ) ) )).
fof(fc5_moebius2,axiom,( v1_funct_1(k1_moebius2) & v1_funct_2(k1_moebius2,k4_ordinal1,k1_numbers) & v2_comseq_2(k1_moebius2) )).
fof(fc5_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k5_msafree(A,B)) & v1_lang1(k5_msafree(A,B)) ) ) )).
fof(fc5_msafree1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v4_msualg_1(k11_msafree(A,B),A) ) )).
fof(fc5_msafree4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) ) => v5_finset_1(k3_trees_9(A)) ) )).
fof(fc5_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) ) => v1_relat_1(k1_funct_1(A,B)) ) )).
fof(fc5_mssubfam,axiom,( ! [A] : ( v1_relat_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)) & v4_relat_1(k1_pboole(A),A) & v1_funct_1(k1_pboole(A)) & v1_partfun1(k1_pboole(A),A) & v2_finset_1(k1_pboole(A)) ) )).
fof(fc5_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ( v1_unialg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) & v2_unialg_2(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) ) ) )).
fof(fc5_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msualg_2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => v2_relat_1(k2_msualg_2(A,B)) ) )).
fof(fc5_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_6(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_msualg_4(k9_msualg_6(A,B,C),A,B) & v4_msualg_6(k9_msualg_6(A,B,C),A,B) ) ) )).
fof(fc5_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v3_msualg_1(k7_msafree2(A),A) & v4_msualg_1(k7_msafree2(A),A) & v4_msafree2(k7_msafree2(A),A) ) ) )).
fof(fc5_mycielsk,axiom,( ! [A] : ! [B] : ( ( v2_mycielsk(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & v2_mycielsk(k5_yellow_0(A,B)) ) ) )).
fof(fc5_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v7_ordinal1(k3_xxreal_0(A,B)) & v1_xxreal_0(k3_xxreal_0(A,B)) ) ) )).
fof(fc5_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v7_ordinal1(C) ) => ( v1_relat_1(k4_nat_3(A,B,C)) & v4_relat_1(k4_nat_3(A,B,C),A) & v1_funct_1(k4_nat_3(A,B,C)) & v1_partfun1(k4_nat_3(A,B,C),A) & v4_valued_0(k4_nat_3(A,B,C)) ) ) )).
fof(fc5_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => v7_ordinal1(k7_xcmplx_0(A,2)) ) )).
fof(fc5_nat_lat,axiom,( ~ v1_xboole_0(k6_nat_lat) )).
fof(fc5_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v1_cat_1(k10_nattra_1(A)) & v4_nattra_1(k10_nattra_1(A)) ) ) )).
fof(fc5_neckla_3,axiom,( ! [A] : ! [B] : ( ( v8_struct_0(A) & l1_orders_2(A) & v8_struct_0(B) & l1_orders_2(B) ) => ( v8_struct_0(k1_neckla_2(A,B)) & v1_orders_2(k1_neckla_2(A,B)) ) ) )).
fof(fc5_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_orders_2(k4_necklace(A)) & v1_necklace(k4_necklace(A)) ) ) )).
fof(fc5_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k1_finseq_2(A)) & v1_funct_1(k1_finseq_2(A)) & v1_finseq_1(k1_finseq_2(A)) & v4_valued_0(k1_finseq_2(A)) ) ) )).
fof(fc5_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_xreal_0(C) ) => ( v1_funct_1(k4_vfunct_1(k1_numbers,A,B,C)) & v1_nfcont_3(k4_vfunct_1(k1_numbers,A,B,C),A) ) ) )).
fof(fc5_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v2_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_funct_1(k5_relat_1(B,C)) & v2_nfcont_4(k5_relat_1(B,C),A) ) ) )).
fof(fc5_normform,axiom,( ! [A] : ( v3_lattices(k11_normform(A)) & v10_lattices(k11_normform(A)) ) )).
fof(fc5_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k4_normsp_2(A)) & v1_frechet(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A)) ) ) )).
fof(fc5_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v3_nfcont_1(k2_struct_0(A),A) ) )).
fof(fc5_numbers,axiom,( ~ v1_xboole_0(k6_numbers) )).
fof(fc5_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) ) => v1_abian(k6_xcmplx_0(A,1)) ) )).
fof(fc5_openlatt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k10_openlatt(A,B)) ) )).
fof(fc5_oposet_1,axiom,( v3_orders_2(k1_oposet_1) & v3_qmax_1(k1_oposet_1) )).
fof(fc5_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k5_ordeq_01(A,B)) & v13_algstr_0(k5_ordeq_01(A,B)) & v2_rlvect_1(k5_ordeq_01(A,B)) & v3_rlvect_1(k5_ordeq_01(A,B)) & v4_rlvect_1(k5_ordeq_01(A,B)) & v5_rlvect_1(k5_ordeq_01(A,B)) & v6_rlvect_1(k5_ordeq_01(A,B)) & v7_rlvect_1(k5_ordeq_01(A,B)) & v8_rlvect_1(k5_ordeq_01(A,B)) & v3_normsp_0(k5_ordeq_01(A,B)) & v4_normsp_0(k5_ordeq_01(A,B)) & v1_normsp_1(k5_ordeq_01(A,B)) & v2_normsp_1(k5_ordeq_01(A,B)) ) ) )).
fof(fc5_orders_2,axiom,( ! [A] : ( ( v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => v8_relat_2(u1_orders_2(A)) ) )).
fof(fc5_orders_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => v4_funct_1(k1_orders_3(A,B)) ) )).
fof(fc5_ordinal1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal1(B) ) => ( v1_relat_1(k5_relat_1(A,B)) & v5_relat_1(k5_relat_1(A,B),k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A,B)) ) ) )).
fof(fc5_ordinal2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v3_ordinal1(k10_ordinal2(A,B)) & v7_ordinal1(k10_ordinal2(A,B)) ) ) )).
fof(fc5_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( v2_ordinal2(k3_afinsq_1(A)) & v1_ordinal5(k3_afinsq_1(A)) ) ) )).
fof(fc5_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_relat_1(k4_relat_1(A)) & v5_ordinal1(k4_relat_1(A)) & v1_ordinal2(k4_relat_1(A)) ) ) )).
fof(fc5_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k8_osafree(A,B),A) & v4_msualg_1(k8_osafree(A,B),A) & v12_osalg_1(k8_osafree(A,B),A) ) ) )).
fof(fc5_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v3_msualg_2(C,A,B) & m2_osalg_2(C,A,B) ) => ( v3_msualg_1(k10_msualg_2(A,B,C),A) & v12_osalg_1(k10_msualg_2(A,B,C),A) ) ) )).
fof(fc5_partfun3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ( v1_xreal_0(k3_square_1(A)) & v2_xxreal_0(k3_square_1(A)) ) ) )).
fof(fc5_pboole,axiom,( ! [A] : ( v1_setfam_1(A) => ( v1_relat_1(k4_relat_1(A)) & v2_relat_1(k4_relat_1(A)) ) ) )).
fof(fc5_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v1_relat_2(k3_pcs_0(A,A,B,B,C,D)) ) )).
fof(fc5_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ~ v2_struct_0(k5_pencil_1(A,B)) & ~ v3_pencil_1(k5_pencil_1(A,B)) & ~ v4_pencil_1(k5_pencil_1(A,B)) & v5_pencil_1(k5_pencil_1(A,B)) & v6_pencil_1(k5_pencil_1(A,B)) ) ) )).
fof(fc5_polyeq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => v1_xreal_0(k3_polyeq_1(A,B,C,D)) ) )).
fof(fc5_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( v1_funct_1(k9_polynom1(A,B)) & v1_funct_2(k9_polynom1(A,B),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k9_polynom1(A,B),B) ) ) )).
fof(fc5_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_polynom2(A,B,C)) & v1_funct_2(k3_polynom2(A,B,C),u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)) & v13_vectsp_1(k3_polynom2(A,B,C),k12_polynom1(A,B),B) ) ) )).
fof(fc5_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_normsp_1(A,B,C)) & v1_funct_2(k2_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k2_normsp_1(A,B,C),A) ) ) )).
fof(fc5_polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k8_polynom5(A,B)) & v1_funct_2(k8_polynom5(A,B),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k8_polynom5(A,B),A) ) ) )).
fof(fc5_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v4_rlvect_1(B) & v5_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( v1_funct_1(k6_polynom7(A,B,C,D)) & v1_funct_2(k6_polynom7(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k6_polynom7(A,B,C,D),B) ) ) )).
fof(fc5_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => v3_rewrite1(k3_polyred(A,B,C,D)) ) )).
fof(fc5_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ( v1_funct_1(k9_poset_1(A,B)) & v1_funct_2(k9_poset_1(A,B),u1_struct_0(A),u1_struct_0(B)) & v2_poset_1(k9_poset_1(A,B),A,B) ) ) )).
fof(fc5_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( v1_relat_1(k15_pralg_1(B,C)) & v4_relat_1(k15_pralg_1(B,C),A) & v1_funct_1(k15_pralg_1(B,C)) & v1_partfun1(k15_pralg_1(B,C),A) ) ) )).
fof(fc5_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_pralg_2(D,A,B) ) => ( v1_relat_1(k9_pralg_2(A,B,C,D)) & v2_relat_1(k9_pralg_2(A,B,C,D)) & v4_relat_1(k9_pralg_2(A,B,C,D),A) & v1_funct_1(k9_pralg_2(A,B,C,D)) & v1_partfun1(k9_pralg_2(A,B,C,D),A) ) ) )).
fof(fc5_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & m1_subset_1(B,k9_xtuple_0(A)) & v1_relat_1(C) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k7_trees_2(A,B,C)) & v1_funct_1(k7_trees_2(A,B,C)) & v1_finset_1(k7_trees_2(A,B,C)) & v3_trees_2(k7_trees_2(A,B,C)) ) ) )).
fof(fc5_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) & v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & v3_orders_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v2_funct_1(k7_pre_poly(A,B,C)) & ~ v1_xboole_0(k7_pre_poly(A,B,C)) ) ) )).
fof(fc5_pre_topc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( v1_funct_1(k6_struct_0(A,B,C)) & v1_funct_2(k6_struct_0(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k6_struct_0(A,B,C),A,B) ) ) )).
fof(fc5_prefer_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) ) => ( v7_struct_0(k2_prefer_1(A)) & v3_prefer_1(k2_prefer_1(A)) ) ) )).
fof(fc5_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_finseq_1(C,B) ) => v5_relat_1(k6_prob_3(A,C),B) ) )).
fof(fc5_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & l2_algstr_0(B) ) => ( ~ v2_struct_0(k4_prvect_3(A,B)) & v8_algstr_0(k4_prvect_3(A,B)) & v13_algstr_0(k4_prvect_3(A,B)) ) ) )).
fof(fc5_pscomp_1,axiom,( v1_funct_1(k5_pscomp_1) & v1_funct_2(k5_pscomp_1,u1_struct_0(k15_euclid(2)),k1_numbers) & v1_pscomp_1(k5_pscomp_1,k15_euclid(2)) )).
fof(fc5_pythtrip,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v1_abian(A) ) => ~ v1_abian(k1_square_1(A)) ) )).
fof(fc5_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k5_qc_lang1(A)) ) )).
fof(fc5_quatern2,axiom,( v36_algstr_0(k15_quatern2) & v4_vectsp_1(k15_quatern2) )).
fof(fc5_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => v1_quaterni(k6_quaterni(A,B)) ) )).
fof(fc5_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v13_algstr_0(k19_quofield(A)) & v36_algstr_0(k19_quofield(A)) & v3_rlvect_1(k19_quofield(A)) & v4_rlvect_1(k19_quofield(A)) ) ) )).
fof(fc5_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & v1_rat_1(k4_xcmplx_0(A)) ) ) )).
fof(fc5_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l5_algstr_0(A) ) => ( v1_funct_1(k10_polynom3(A)) & v1_funct_2(k10_polynom3(A),k4_ordinal1,u1_struct_0(A)) & ~ v1_ratfunc1(k10_polynom3(A),A) ) ) )).
fof(fc5_rcomp_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v5_xxreal_2(k3_xxreal_1(A,B)) ) )).
fof(fc5_real_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => v8_ordinal1(k6_xcmplx_0(A,A)) ) )).
fof(fc5_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k6_real_lat(A)) & v4_lattices(k6_real_lat(A)) & v5_lattices(k6_real_lat(A)) & v6_lattices(k6_real_lat(A)) & v7_lattices(k6_real_lat(A)) & v8_lattices(k6_real_lat(A)) & v9_lattices(k6_real_lat(A)) ) ) )).
fof(fc5_real_ns1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k7_real_ns1(A)) & ~ v7_struct_0(k7_real_ns1(A)) & v1_bhsp_1(k7_real_ns1(A)) ) ) )).
fof(fc5_relat_1,axiom,( ! [A] : ! [B] : v1_relat_1(k1_tarski(k4_tarski(A,B))) )).
fof(fc5_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_2(A) & v1_relat_1(B) & v1_relat_2(B) ) => v1_relat_2(k3_xboole_0(A,B)) ) )).
fof(fc5_reloc,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_compos_0(k6_ami_3(A,B),u1_compos_1(k1_ami_3)) ) )).
fof(fc5_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_relat_1(C) ) => v5_relat_1(k3_xboole_0(B,C),A) ) )).
fof(fc5_revrot_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => v2_topreal1(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) )).
fof(fc5_rewrite2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_rewrite2(B) ) => ( v1_relat_1(k1_rewrite2(A,B)) & v1_funct_1(k1_rewrite2(A,B)) & v1_finseq_1(k1_rewrite2(A,B)) & v1_rewrite2(k1_rewrite2(A,B)) ) ) )).
fof(fc5_rfunct_1,axiom,( ! [A] : ! [B] : ( v1_funct_1(k4_funct_3(A,B)) & v1_partfun1(k4_funct_3(A,B),B) ) )).
fof(fc5_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v13_algstr_0(k2_ring_1(A,B)) & v36_algstr_0(k2_ring_1(A,B)) & v4_vectsp_1(k2_ring_1(A,B)) & v5_vectsp_1(k2_ring_1(A,B)) & v2_rlvect_1(k2_ring_1(A,B)) & v3_rlvect_1(k2_ring_1(A,B)) & v4_rlvect_1(k2_ring_1(A,B)) & v3_group_1(k2_ring_1(A,B)) ) ) )).
fof(fc5_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v1_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( v1_funct_1(k6_struct_0(A,B,k4_struct_0(B))) & v1_funct_2(k6_struct_0(A,B,k4_struct_0(B)),u1_struct_0(A),u1_struct_0(B)) & v1_group_6(k6_struct_0(A,B,k4_struct_0(B)),A,B) ) ) )).
fof(fc5_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ~ v2_struct_0(k17_ringcat1(A)) & ~ v11_struct_0(k17_ringcat1(A)) & v1_cat_1(k17_ringcat1(A)) ) ) )).
fof(fc5_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v1_rlaffin1(k5_rusub_4(A,B,C),A) ) )).
fof(fc5_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => ( v1_funct_1(k4_vfunct_1(k4_ordinal1,A,B,C)) & v1_finseq_1(k4_vfunct_1(k4_ordinal1,A,B,C)) ) ) )).
fof(fc5_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ~ v2_struct_0(g1_rltopsp1(A,B,C,D,E)) & v5_rltopsp1(g1_rltopsp1(A,B,C,D,E)) ) ) )).
fof(fc5_robbins4,axiom,( ~ v2_struct_0(k2_robbins4) & v4_robbins1(k2_robbins4) )).
fof(fc5_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ( v1_relat_2(u1_orders_2(A)) & v3_relat_2(u1_orders_2(A)) & v1_partfun1(u1_orders_2(A),u1_struct_0(A)) ) ) )).
fof(fc5_rsspace3,axiom,( ~ v2_struct_0(k3_rsspace3) & v13_algstr_0(k3_rsspace3) & v2_rlvect_1(k3_rsspace3) & v3_rlvect_1(k3_rsspace3) & v4_rlvect_1(k3_rsspace3) & v5_rlvect_1(k3_rsspace3) & v6_rlvect_1(k3_rsspace3) & v7_rlvect_1(k3_rsspace3) & v8_rlvect_1(k3_rsspace3) & v3_normsp_0(k3_rsspace3) & v4_normsp_0(k3_rsspace3) & v2_normsp_1(k3_rsspace3) )).
fof(fc5_rsspace4,axiom,( ~ v2_struct_0(k3_rsspace4) & v13_algstr_0(k3_rsspace4) & v2_rlvect_1(k3_rsspace4) & v3_rlvect_1(k3_rsspace4) & v4_rlvect_1(k3_rsspace4) & v5_rlvect_1(k3_rsspace4) & v6_rlvect_1(k3_rsspace4) & v7_rlvect_1(k3_rsspace4) & v8_rlvect_1(k3_rsspace4) & v3_normsp_0(k3_rsspace4) & v4_normsp_0(k3_rsspace4) & v2_normsp_1(k3_rsspace4) )).
fof(fc5_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => v3_valued_0(k7_finseq_4(A,B,C,D)) ) )).
fof(fc5_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( v1_xcmplx_0(k19_rvsum_1(A)) & v2_xxreal_0(k19_rvsum_1(A)) ) ) )).
fof(fc5_scm_halt,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v2_scm_halt(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v2_scm_halt(B) ) => ( ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v2_scm_halt(k2_scmfsa6a(A,B)) ) ) )).
fof(fc5_scm_inst,axiom,( ~ v1_xboole_0(k3_scm_inst) & v2_compos_0(k3_scm_inst) )).
fof(fc5_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_amistd_1(k9_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc5_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k5_scmfsa6a(A,B)) & v4_relat_1(k5_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k5_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k5_scmfsa6a(A,B)) & v1_funct_1(k5_scmfsa6a(A,B)) & v1_finset_1(k5_scmfsa6a(A,B)) & v1_afinsq_1(k5_scmfsa6a(A,B)) & v3_compos_1(k5_scmfsa6a(A,B),k1_scmfsa_2) & v4_compos_1(k5_scmfsa6a(A,B),k1_scmfsa_2) ) ) )).
fof(fc5_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_scmfsa6c(k6_scmfsa_2(A,B)) ) )).
fof(fc5_scmfsa7b,axiom,( v1_relat_1(k4_compos_1(k1_scmfsa_2)) & v4_relat_1(k4_compos_1(k1_scmfsa_2),k4_ordinal1) & v5_relat_1(k4_compos_1(k1_scmfsa_2),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_compos_1(k1_scmfsa_2)) & v1_finset_1(k4_compos_1(k1_scmfsa_2)) & v6_amistd_1(k4_compos_1(k1_scmfsa_2),k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(k4_compos_1(k1_scmfsa_2)) )).
fof(fc5_scmfsa8a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_scmfsa7b(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_scmfsa7b(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & v1_scmfsa7b(k1_funct_4(A,B)) ) ) )).
fof(fc5_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k1_scmfsa8b(A,B,C)) & v1_relat_1(k1_scmfsa8b(A,B,C)) & v4_relat_1(k1_scmfsa8b(A,B,C),k4_ordinal1) & v5_relat_1(k1_scmfsa8b(A,B,C),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k1_scmfsa8b(A,B,C)) & v1_finset_1(k1_scmfsa8b(A,B,C)) & v1_afinsq_1(k1_scmfsa8b(A,B,C)) & v3_compos_1(k1_scmfsa8b(A,B,C),k1_scmfsa_2) & v4_compos_1(k1_scmfsa8b(A,B,C),k1_scmfsa_2) ) ) )).
fof(fc5_scmfsa_2,axiom,( v3_memstr_0(k1_scmfsa_2,k5_card_1(3)) & v1_extpro_1(k1_scmfsa_2,k5_card_1(3)) )).
fof(fc5_scmfsa_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_compos_0(k10_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc5_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k2_scmfsa_x(B,A)) & v4_relat_1(k2_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k2_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa_x(B,A)) & v1_funct_1(k2_scmfsa_x(B,A)) & v1_finset_1(k2_scmfsa_x(B,A)) & v1_afinsq_1(k2_scmfsa_x(B,A)) & v1_scmfsa7b(k2_scmfsa_x(B,A)) ) ) )).
fof(fc5_scmfsa_i,axiom,( ~ v1_xboole_0(k2_scmfsa_i) & v3_compos_0(k2_scmfsa_i) )).
fof(fc5_scmfsa_m,axiom,( ~ v1_xboole_0(k2_scm_inst) )).
fof(fc5_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k3_scmfsa_x(B,A)) & v4_relat_1(k3_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k3_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k3_scmfsa_x(B,A)) & v1_funct_1(k3_scmfsa_x(B,A)) & v1_finset_1(k3_scmfsa_x(B,A)) & v1_afinsq_1(k3_scmfsa_x(B,A)) & v5_amistd_1(k3_scmfsa_x(B,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc5_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v4_scmpds_4(k13_scmpds_2(A,B,C,D)) ) )).
fof(fc5_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v6_compos_0(k8_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc5_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_scmpds_4(B) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( v1_relat_1(k2_scmpds_6(C,D,A,B)) & v4_relat_1(k2_scmpds_6(C,D,A,B),k4_ordinal1) & v5_relat_1(k2_scmpds_6(C,D,A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_6(C,D,A,B)) & v1_funct_1(k2_scmpds_6(C,D,A,B)) & v1_finset_1(k2_scmpds_6(C,D,A,B)) & v1_afinsq_1(k2_scmpds_6(C,D,A,B)) & v2_scmpds_4(k2_scmpds_6(C,D,A,B)) & v3_scmpds_4(k2_scmpds_6(C,D,A,B)) ) ) )).
fof(fc5_scmpds_i,axiom,( v3_compos_0(k1_scmpds_i) )).
fof(fc5_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k4_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc5_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v4_amistd_1(k6_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc5_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v1_xboole_0(k1_scmringi(A)) & v2_compos_0(k1_scmringi(A)) ) ) )).
fof(fc5_scmyciel,axiom,( ! [A] : ! [B] : ( v5_finset_1(A) => v5_finset_1(k4_xboole_0(A,B)) ) )).
fof(fc5_seq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_funct_1(k18_valued_1(A,B)) & v1_funct_2(k18_valued_1(A,B),k4_ordinal1,k1_numbers) & v2_comseq_2(k18_valued_1(A,B)) ) ) )).
fof(fc5_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => v1_setfam_1(k2_enumset1(A,B,C,D)) ) )).
fof(fc5_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_ami_2(k7_sf_mastr(A)) & ~ v1_scmfsa_m(k7_sf_mastr(A)) ) ) )).
fof(fc5_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k10_scmfsa_2(A,B)) ) )).
fof(fc5_sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_scmfsa_2(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k4_sfmastr3(A,B,C)) & v4_relat_1(k4_sfmastr3(A,B,C),k4_ordinal1) & v5_relat_1(k4_sfmastr3(A,B,C),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_sfmastr3(A,B,C)) & ~ v1_xboole_0(k4_sfmastr3(A,B,C)) & v1_finset_1(k4_sfmastr3(A,B,C)) & v1_afinsq_1(k4_sfmastr3(A,B,C)) & v3_compos_1(k4_sfmastr3(A,B,C),k1_scmfsa_2) & v4_compos_1(k4_sfmastr3(A,B,C),k1_scmfsa_2) & v6_amistd_1(k4_sfmastr3(A,B,C),k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(k4_sfmastr3(A,B,C)) ) ) )).
fof(fc5_simplex0,axiom,( v1_xboole_0(k1_simplex0(k1_xboole_0)) & v1_classes1(k1_simplex0(k1_xboole_0)) )).
fof(fc5_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v1_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) & v3_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => v1_rlaffin1(k1_simplex1(A,B,C),A) ) )).
fof(fc5_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k23_sin_cos(A)) ) )).
fof(fc5_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc5_sin_cos9,axiom,( v1_funct_1(k1_sin_cos9) & v2_funct_1(k1_sin_cos9) )).
fof(fc5_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k5_sincos10(A)) ) )).
fof(fc5_sppol_2,axiom,( ! [A] : ! [B] : ( ( v3_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => v3_topreal1(k1_rfinseq(B,A)) ) )).
fof(fc5_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ v3_funct_1(k1_sprect_1(A)) ) )).
fof(fc5_srings_2,axiom,( v1_srings_1(k1_srings_2,k2_enumset1(1,2,3,4)) & ~ v2_finsub_1(k1_srings_2) )).
fof(fc5_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_stacks_1(A)) & ~ v11_struct_0(k8_stacks_1(A)) & v1_stacks_1(k8_stacks_1(A)) & v3_stacks_1(k8_stacks_1(A)) ) ) )).
fof(fc5_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ~ v1_xboole_0(k2_struct_0(A)) ) )).
fof(fc5_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ~ v1_xboole_0(k4_enumset1(A,B,C,D,E,F)) )).
fof(fc5_substut1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & m1_subset_1(C,k8_qc_lang1(A,B)) & v3_card_1(D,B) & m1_finseq_1(D,k2_qc_lang1(A)) & m1_subset_1(E,k1_substut1(A)) ) => v4_substut1(k17_substut1(A,C,D,E),A) ) )).
fof(fc5_tex_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ( v1_pre_topc(k3_tex_1(A,B)) & v2_pre_topc(k3_tex_1(A,B)) ) ) )).
fof(fc5_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_subset_1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_subset_1(k1_tops_1(A,B),u1_struct_0(A)) ) )).
fof(fc5_tmap_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_pre_topc(B,A) ) => ( ~ v2_struct_0(k8_tmap_1(A,B)) & v1_pre_topc(k8_tmap_1(A,B)) & v2_pre_topc(k8_tmap_1(A,B)) ) ) )).
fof(fc5_topalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v15_algstr_0(k5_topalg_1(A,B)) & v2_group_1(k5_topalg_1(A,B)) & v3_group_1(k5_topalg_1(A,B)) ) ) )).
fof(fc5_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(A)) & v5_pre_topc(B,k5_topmetr,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(A)) & v5_pre_topc(C,k5_topmetr,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ( v1_funct_1(k3_topalg_2(A,B,C)) & v1_funct_2(k3_topalg_2(A,B,C),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & v5_pre_topc(k3_topalg_2(A,B,C),k2_borsuk_1(k5_topmetr,k5_topmetr),A) ) ) )).
fof(fc5_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ( v1_funct_1(k1_topalg_5(A)) & v1_funct_2(k1_topalg_5(A),u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)) & v5_pre_topc(k1_topalg_5(A),k5_topmetr,k2_topalg_2) ) ) )).
fof(fc5_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & v3_topalg_6(D,A,C) & m1_borsuk_2(D,A,C,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v3_topalg_6(k3_relat_1(D,E),B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,C)) ) )).
fof(fc5_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & v5_pre_topc(B,k2_borsuk_1(k5_topmetr,k5_topmetr),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & v5_pre_topc(C,k2_borsuk_1(k5_topmetr,k5_topmetr),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)))) ) => ( v1_funct_1(k11_topalg_7(A,B,C)) & v1_funct_2(k11_topalg_7(A,B,C),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & v5_pre_topc(k11_topalg_7(A,B,C),k2_borsuk_1(k5_topmetr,k5_topmetr),A) ) ) )).
fof(fc5_topdim_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_topdim_1(A) & l1_pre_topc(A) ) => ( v7_ordinal1(k4_topdim_1(A)) & v1_int_1(k4_topdim_1(A)) ) ) )).
fof(fc5_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v3_topdim_1(k15_euclid(A)) ) ) )).
fof(fc5_topgen_6,axiom,( ~ v2_struct_0(k2_topgen_3) & v1_pre_topc(k2_topgen_3) & v2_pre_topc(k2_topgen_3) & v10_pre_topc(k2_topgen_3) )).
fof(fc5_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),k3_struct_0(A))) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),k3_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(k2_tops_2(u1_struct_0(A),u1_struct_0(A),k3_struct_0(A)),A,A) ) ) )).
fof(fc5_topmetr,axiom,( v2_pre_topc(k3_topmetr) & v3_topmetr(k3_topmetr) )).
fof(fc5_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k5_topreal1(A)) ) )).
fof(fc5_topreal6,axiom,( ! [A] : ( ( v3_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v3_xxreal_2(k5_measure6(A)) ) )).
fof(fc5_topreal7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( v1_metric_1(k1_topreal7(A,B)) & v7_metric_1(k1_topreal7(A,B)) ) ) )).
fof(fc5_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v3_pre_topc(k1_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc5_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k4_xxreal_1(k6_xcmplx_0(A,B),A)) ) )).
fof(fc5_toprealb,axiom,( v1_funct_1(k18_sin_cos) & v1_funct_2(k18_sin_cos,k1_numbers,k1_numbers) & v1_fcont_1(k18_sin_cos) )).
fof(fc5_toprealc,axiom,( ! [A] : ( v1_xboole_0(A) => ( v8_ordinal1(k12_euclid(A)) & v1_xreal_0(k12_euclid(A)) ) ) )).
fof(fc5_tops_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(k2_xboole_0(B,C),A) ) )).
fof(fc5_trees_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_subset_1(B,A) ) => ( ~ v1_xboole_0(k4_trees_1(A,B)) & v1_finset_1(k4_trees_1(A,B)) & v1_trees_1(k4_trees_1(A,B)) ) ) )).
fof(fc5_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_subset_1(B,A) ) => v1_finset_1(k1_trees_2(A,B)) ) )).
fof(fc5_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k4_trees_3(A)) ) )).
fof(fc5_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) => ( v1_relat_1(k9_trees_4(B,C,D)) & v5_relat_1(k9_trees_4(B,C,D),A) & v1_funct_1(k9_trees_4(B,C,D)) & v3_trees_2(k9_trees_4(B,C,D)) ) ) )).
fof(fc5_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & m1_subset_1(B,k9_xtuple_0(A)) ) => ( v1_relat_1(k5_trees_2(A,B)) & v1_funct_1(k5_trees_2(A,B)) & v1_finset_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)) ) ) )).
fof(fc5_unialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => v1_funcop_1(u1_unialg_1(A)) ) )).
fof(fc5_uproots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => v1_finset_1(k7_polynom5(A,B)) ) )).
fof(fc5_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) ) => v5_membered(k10_xtuple_0(A)) ) )).
fof(fc5_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v5_relat_1(k1_valued_1(A,B),k4_numbers) & v1_funct_1(k1_valued_1(A,B)) ) ) )).
fof(fc5_vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) ) => ( ~ v2_struct_0(g1_vectmetr(A,B,C,D,E)) & v4_vectmetr(g1_vectmetr(A,B,C,D,E)) ) ) )).
fof(fc5_vectsp_1,axiom,( v3_membered(u1_struct_0(k2_vectsp_1)) )).
fof(fc5_vectsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k5_vectsp_2(A,B)) & v13_algstr_0(k5_vectsp_2(A,B)) & v8_vectsp_1(k5_vectsp_2(A,B),A) & v9_vectsp_1(k5_vectsp_2(A,B),A) & v10_vectsp_1(k5_vectsp_2(A,B),A) & v11_vectsp_1(k5_vectsp_2(A,B),A) & v2_rlvect_1(k5_vectsp_2(A,B)) & v3_rlvect_1(k5_vectsp_2(A,B)) & v4_rlvect_1(k5_vectsp_2(A,B)) & v3_vectsp_2(k5_vectsp_2(A,B),A,B) & v4_vectsp_2(k5_vectsp_2(A,B),B) & v5_vectsp_2(k5_vectsp_2(A,B),A,B) ) ) )).
fof(fc5_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k5_vfunct_1(A,B,C)) & v1_partfun1(k5_vfunct_1(A,B,C),A) ) ) )).
fof(fc5_waybel10,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k6_yellow_1(A,B)) & v1_orders_2(k6_yellow_1(A,B)) & v4_yellow_0(k6_yellow_1(A,B),k5_yellow_1(u1_struct_0(A),B)) ) ) )).
fof(fc5_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(k3_waybel11(A,B,C)) & v6_waybel_0(k3_waybel11(A,B,C),A) & v8_waybel_0(k3_waybel11(A,B,C),A) ) ) )).
fof(fc5_waybel17,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k4_waybel17(A,B)) & v3_orders_2(k4_waybel17(A,B)) & v6_waybel_0(k4_waybel17(A,B),A) & v7_waybel_0(k4_waybel17(A,B)) ) ) )).
fof(fc5_waybel18,axiom,( ~ v2_struct_0(k9_waybel18) & v1_pre_topc(k9_waybel18) & v2_pre_topc(k9_waybel18) )).
fof(fc5_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_waybel23(k5_waybel_0(A,B),A) ) )).
fof(fc5_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & v5_waybel_0(D,k3_yellow_3(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k2_waybel24(A,B,C,D,E)) & v1_funct_2(k2_waybel24(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v5_waybel_0(k2_waybel24(A,B,C,D,E),A,C) ) ) )).
fof(fc5_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_pre_topc(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc5_waybel26,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_relat_1(k3_card_3(k2_card_3(A))) ) )).
fof(fc5_waybel27,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k2_waybel27(A,B)) & v4_orders_2(k2_waybel27(A,B)) ) ) )).
fof(fc5_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( ~ v7_struct_0(k1_yellow_1(k5_waybel11(A))) & v1_orders_2(k1_yellow_1(k5_waybel11(A))) & v3_lattice3(k1_yellow_1(k5_waybel11(A))) ) ) )).
fof(fc5_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ~ v2_struct_0(k2_waybel32(A,B)) & v6_waybel_0(k2_waybel32(A,B),A) & v7_waybel_0(k2_waybel32(A,B)) & v8_waybel_0(k2_waybel32(A,B),A) ) ) )).
fof(fc5_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k4_waybel34(A)) & v2_altcat_1(k4_waybel34(A)) & v6_altcat_1(k4_waybel34(A)) & v11_altcat_1(k4_waybel34(A)) & v12_altcat_1(k4_waybel34(A)) & v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A)) ) ) )).
fof(fc5_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(g1_waybel_0(A,B,C,D)) & v6_waybel_0(g1_waybel_0(A,B,C,D),A) ) ) )).
fof(fc5_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(k3_struct_0(A),A) ) ) )).
fof(fc5_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & l1_waybel_0(C,A) ) => ( ~ v2_struct_0(k3_waybel_2(A,B,C)) & v6_waybel_0(k3_waybel_2(A,B,C),A) ) ) )).
fof(fc5_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_waybel_0(k1_waybel_3(A,B),A) ) )).
fof(fc5_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k3_waybel_4(A)) ) )).
fof(fc5_waybel_5,axiom,( ! [A] : ! [B] : ( v1_relat_1(k2_funcop_1(A,B)) & v4_relat_1(k2_funcop_1(A,B),A) & v1_funct_1(k2_funcop_1(A,B)) & v1_partfun1(k2_funcop_1(A,B),A) ) )).
fof(fc5_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc5_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & v3_orders_2(C) & l1_waybel_0(C,A) ) => ( v3_orders_2(k3_waybel_2(A,B,C)) & v6_waybel_0(k3_waybel_2(A,B,C),A) ) ) )).
fof(fc5_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k5_weddwitt(A,B)) & ~ v6_struct_0(k5_weddwitt(A,B)) & v8_struct_0(k5_weddwitt(A,B)) & v13_algstr_0(k5_weddwitt(A,B)) & v33_algstr_0(k5_weddwitt(A,B)) & v36_algstr_0(k5_weddwitt(A,B)) & v2_rlvect_1(k5_weddwitt(A,B)) & v3_rlvect_1(k5_weddwitt(A,B)) & v4_rlvect_1(k5_weddwitt(A,B)) & v4_vectsp_1(k5_weddwitt(A,B)) & v5_vectsp_1(k5_weddwitt(A,B)) & v3_group_1(k5_weddwitt(A,B)) ) ) )).
fof(fc5_wellord2,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_relat_1(k1_wellord2(A)) & v1_wellord1(k1_wellord2(A)) ) ) )).
fof(fc5_xboole_0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_xboole_0(B,A)) ) )).
fof(fc5_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k6_xboolean(A,B)) ) )).
fof(fc5_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => v1_xcmplx_0(k7_xcmplx_0(A,B)) ) )).
fof(fc5_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k2_xcmplx_0(A,B)) ) )).
fof(fc5_xtuple_0,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A)) ) )).
fof(fc5_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k3_xxreal_0(A,B)) ) )).
fof(fc5_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ~ v1_xboole_0(k1_xxreal_1(A,A)) ) )).
fof(fc5_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & v1_xxreal_2(A) ) => ( v1_xxreal_0(k2_xxreal_2(A)) & v1_int_1(k2_xxreal_2(A)) ) ) )).
fof(fc5_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & ~ v1_xreal_0(A) & v1_xxreal_0(B) & v2_xxreal_0(B) & ~ v1_xreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(A,B)) & ~ v1_xreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc5_yellow10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v3_yellow_0(A) & v10_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v5_orders_2(B) & v3_yellow_0(B) & v10_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v10_waybel_1(k3_yellow_3(A,B)) ) ) )).
fof(fc5_yellow11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => v2_yellow11(k3_yellow11(A,B,C),A) ) )).
fof(fc5_yellow13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_yellow13(A) & l1_waybel_9(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_waybel_1(A,B)) & v1_funct_2(k4_waybel_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(k4_waybel_1(A,B),A,A) ) ) )).
fof(fc5_yellow14,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k3_waybel18(A,k7_funcop_1(A,B))) & v2_pre_topc(k3_waybel18(A,k7_funcop_1(A,B))) & v6_pre_topc(k3_waybel18(A,k7_funcop_1(A,B))) ) ) )).
fof(fc5_yellow16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) ) => ( v1_orders_2(k5_yellow_1(B,A)) & v24_waybel_0(k5_yellow_1(B,A)) ) ) )).
fof(fc5_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v9_functor0(k2_yellow18(k1_yellow18(A),A),k1_yellow18(A),A) & v16_functor0(k2_yellow18(k1_yellow18(A),A),k1_yellow18(A),A) & v21_functor0(k2_yellow18(k1_yellow18(A),A),k1_yellow18(A),A) ) ) )).
fof(fc5_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_subset_1(C,u1_struct_0(k2_yellow_1(B))) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => ( ~ v2_struct_0(k3_yellow19(A,B,C)) & v6_waybel_0(k3_yellow19(A,B,C),A) & v7_waybel_0(k3_yellow19(A,B,C)) ) ) )).
fof(fc5_yellow21,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(B) & v8_relat_2(B) ) => ( v1_relat_1(k3_relat_1(k3_relat_1(A,B),k2_funct_1(A))) & v8_relat_2(k3_relat_1(k3_relat_1(A,B),k2_funct_1(A))) ) ) )).
fof(fc5_yellow_1,axiom,( ! [A] : ( v1_orders_2(k1_yellow_1(A)) & v3_orders_2(k1_yellow_1(A)) & v4_orders_2(k1_yellow_1(A)) & v5_orders_2(k1_yellow_1(A)) ) )).
fof(fc5_yellow_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k7_waybel_0(A))) & v1_lattice3(k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc5_yellow_3,axiom,( ! [A] : ! [B] : ( ( v5_orders_2(A) & l1_orders_2(A) & v5_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v5_orders_2(k3_yellow_3(A,B)) ) ) )).
fof(fc5_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k3_yellow_4(A,B,C)) ) )).
fof(fc5_yellow_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & v4_waybel_3(B) ) => ( v1_relat_1(k12_pralg_1(A,B)) & v2_relat_1(k12_pralg_1(A,B)) & v4_relat_1(k12_pralg_1(A,B),A) & v1_funct_1(k12_pralg_1(A,B)) & v1_partfun1(k12_pralg_1(A,B),A) ) ) )).
fof(fc5_yellow_7,axiom,( ! [A] : ( ( v2_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v1_lattice3(k7_lattice3(A)) ) ) )).
fof(fc5_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k3_yellow_9(A,B)) & v4_orders_2(k3_yellow_9(A,B)) & v6_waybel_0(k3_yellow_9(A,B),A) ) ) )).
fof(fc5_zf_lang,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & v1_zf_lang(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_zf_lang(k6_zf_lang(A,B)) ) )).
fof(fc5_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ~ v1_xboole_0(k8_zmodul01(A)) ) )).
fof(fc5_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ~ v2_struct_0(k31_zmodul02(A)) & v1_zmodul01(k31_zmodul02(A)) ) ) )).
fof(fc5_zmodul03,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_finset_1(B) & v1_zmodul02(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_zmodul01(k33_zmodul02(A,B)) & v2_zmodul03(k33_zmodul02(A,B)) ) ) )).
fof(fc5_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_relat_1(k3_relat_1(k19_finseq_1(C),D)) & v5_relat_1(k3_relat_1(k19_finseq_1(C),D),B) & v1_finseq_1(k3_relat_1(k19_finseq_1(C),D)) ) ) )).
fof(fc5_zmodul06,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_zmodul01(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B))) & v1_zmodul03(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B))) ) ) )).
fof(fc60_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ~ v8_ordinal1(k1_card_1(A)) ) )).
fof(fc60_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & v16_fomodel1(C,B) & l1_fomodel1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,C,A) ) => ( v1_relat_1(k5_relat_1(D,k37_fomodel1(B))) & v1_funct_1(k5_relat_1(D,k37_fomodel1(B))) & v1_fomodel2(k5_relat_1(D,k37_fomodel1(B)),B,A) ) ) )).
fof(fc60_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v9_fomodel4(k7_finseq_1(k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),C),A,k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k24_fomodel4(A)),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k33_fomodel4(A))),k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel2(A,B),k35_fomodel2(A,C))) ) )).
fof(fc60_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v4_membered(B) ) => v4_membered(k15_member_1(A,B)) ) )).
fof(fc60_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B)) & v3_partfun3(k30_valued_1(B)) ) ) )).
fof(fc60_pcs_0,axiom,( ! [A] : ( ( v3_orders_2(A) & l2_pcs_0(A) ) => ( v3_orders_2(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A)) ) ) )).
fof(fc60_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v4_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v4_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc60_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C),A) ) ) )).
fof(fc61_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => ( v1_relat_1(k5_relat_1(A,B)) & v4_relat_1(k5_relat_1(A,B),B) ) ) )).
fof(fc61_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & v16_fomodel1(C,B) & l1_fomodel1(C) & m1_subset_1(D,k15_fomodel2(B,A)) & v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,C,A) ) => ( v1_relat_1(k1_funct_4(E,D)) & v1_funct_1(k1_funct_4(E,D)) & v1_fomodel2(k1_funct_4(E,D),C,A) ) ) )).
fof(fc61_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(C) & m1_subset_1(D,k40_fomodel2(A)) ) => v1_xboole_0(k4_xboole_0(C,k42_fomodel4(A,B,C,D))) ) )).
fof(fc61_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v9_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k2_glib_003,B)) & v4_relat_1(k13_glib_000(A,k2_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k2_glib_003,B)) & v1_finset_1(k13_glib_000(A,k2_glib_003,B)) & v9_glib_003(k13_glib_000(A,k2_glib_003,B)) ) ) )).
fof(fc61_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xxreal_0(B) ) => v1_xboole_0(k16_member_1(A,B)) ) )).
fof(fc61_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v1_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B)) & v2_partfun3(k30_valued_1(B)) ) ) )).
fof(fc61_pcs_0,axiom,( ! [A] : ( ( v4_orders_2(A) & l2_pcs_0(A) ) => ( v4_orders_2(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A)) ) ) )).
fof(fc61_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => v1_xcmplx_0(k1_funct_1(A,B)) ) )).
fof(fc61_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C),A) ) ) )).
fof(fc62_fomodel0,axiom,( ! [A] : ! [B] : ( v1_xboole_0(B) => v1_xboole_0(k13_fomodel0(A,B)) ) )).
fof(fc62_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v1_xboole_0(C) & m1_subset_1(D,k15_fomodel2(B,A)) ) => v10_fomodel2(k13_fomodel0(D,C),A,B,D) ) )).
fof(fc62_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(C) & m1_subset_1(D,k40_fomodel2(A)) ) => v1_zfmisc_1(k4_xboole_0(k42_fomodel4(A,B,C,D),C)) ) )).
fof(fc62_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v9_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k4_glib_003,B)) & v4_relat_1(k13_glib_000(A,k4_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k4_glib_003,B)) & v1_finset_1(k13_glib_000(A,k4_glib_003,B)) & v9_glib_003(k13_glib_000(A,k4_glib_003,B)) ) ) )).
fof(fc62_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_0(B) ) => ~ v1_xboole_0(k16_member_1(A,B)) ) )).
fof(fc62_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v2_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k30_valued_1(B)) & v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B)) & v1_partfun3(k30_valued_1(B)) ) ) )).
fof(fc62_pcs_0,axiom,( ! [A] : ( ( v4_pcs_0(A) & l2_pcs_0(A) ) => ( v5_pcs_0(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A)) ) ) )).
fof(fc62_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => v1_xxreal_0(k1_funct_1(A,B)) ) )).
fof(fc62_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C),A) ) ) )).
fof(fc63_fomodel0,axiom,( ! [A] : ! [B] : ( v1_xboole_0(B) => ( v1_relat_1(k13_fomodel0(A,B)) & v5_relat_1(k13_fomodel0(A,B),A) ) ) )).
fof(fc63_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k15_fomodel2(B,A)) & v10_fomodel2(D,A,B,C) & v10_fomodel2(E,A,B,C) ) => v10_fomodel2(k2_xboole_0(D,E),A,B,C) ) )).
fof(fc63_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_xboole_0(k5_xboole_0(k34_fomodel1(A,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k31_fomodel2(A)),B),C)),k10_finseq_1(B,C))) ) )).
fof(fc63_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) & v10_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k2_glib_003,B)) & v4_relat_1(k13_glib_000(A,k2_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k2_glib_003,B)) & v1_finset_1(k13_glib_000(A,k2_glib_003,B)) & v10_glib_003(k13_glib_000(A,k2_glib_003,B)) ) ) )).
fof(fc63_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v1_xxreal_0(B) ) => v2_membered(k16_member_1(A,B)) ) )).
fof(fc63_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k54_valued_1(B)) & v1_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B)) & v4_partfun3(k54_valued_1(B)) ) ) )).
fof(fc63_pcs_0,axiom,( ! [A] : ( ( v5_pcs_0(A) & l2_pcs_0(A) ) => ( v4_pcs_0(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A)) ) ) )).
fof(fc63_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => v1_xreal_0(k1_funct_1(A,B)) ) )).
fof(fc63_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ( v1_relat_1(k30_valued_1(A)) & v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A)) & v1_finseq_1(k30_valued_1(A)) ) ) )).
fof(fc64_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) ) => ( v1_relat_1(k13_fomodel0(B,C)) & v4_relat_1(k13_fomodel0(B,C),k2_finseq_1(k2_xcmplx_0(A,B))) ) ) )).
fof(fc64_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k15_fomodel2(B,A)) & v10_fomodel2(D,A,B,C) ) => v11_fomodel2(k13_fomodel0(D,C),B,A,D) ) )).
fof(fc64_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k24_fomodel4(A),A) ) )).
fof(fc64_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) & v10_glib_003(A) ) => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B)) & v4_relat_1(k13_glib_000(A,k3_glib_003,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,k3_glib_003,B)) & v1_finset_1(k13_glib_000(A,k3_glib_003,B)) & v10_glib_003(k13_glib_000(A,k3_glib_003,B)) ) ) )).
fof(fc64_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xcmplx_0(B) ) => v1_xboole_0(k17_member_1(A,B)) ) )).
fof(fc64_partfun3,axiom,( ! [A] : ! [B] : ( ( v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k54_valued_1(B)) & v1_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B)) & v1_partfun3(k54_valued_1(B)) ) ) )).
fof(fc64_pcs_0,axiom,( ! [A] : ( ( v6_pcs_0(A) & l2_pcs_0(A) ) => ( v6_pcs_0(k21_pcs_0(A)) & v12_pcs_0(k21_pcs_0(A)) ) ) )).
fof(fc64_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) ) => v1_rat_1(k1_funct_1(A,B)) ) )).
fof(fc64_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k35_valued_1(A)) & v1_funct_1(k35_valued_1(A)) & v1_valued_0(k35_valued_1(A)) & v3_valued_0(k35_valued_1(A)) ) ) )).
fof(fc65_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,B) & v1_finseq_1(D) ) => ( v1_relat_1(k7_finseq_1(C,D)) & v1_funct_1(k7_finseq_1(C,D)) & v3_card_1(k7_finseq_1(C,D),k2_xcmplx_0(A,B)) & v1_finseq_1(k7_finseq_1(C,D)) ) ) )).
fof(fc65_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel2(k13_fomodel0(A,k1_xboole_0),A) ) )).
fof(fc65_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k25_fomodel4(A),A) ) )).
fof(fc65_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v2_glib_003(A) ) => ( v1_relat_1(k12_glib_003(A,B,C)) & v4_relat_1(k12_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k12_glib_003(A,B,C)) & v1_finset_1(k12_glib_003(A,B,C)) & v1_glib_000(k12_glib_003(A,B,C)) & v2_glib_000(k12_glib_003(A,B,C)) & v2_glib_003(k12_glib_003(A,B,C)) ) ) )).
fof(fc65_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_xcmplx_0(B) ) => ~ v1_xboole_0(k17_member_1(A,B)) ) )).
fof(fc65_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) ) => v1_int_1(k1_funct_1(A,B)) ) )).
fof(fc65_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) ) => ( v1_relat_1(k35_valued_1(A)) & v5_relat_1(k35_valued_1(A),k3_numbers) & v1_funct_1(k35_valued_1(A)) & v1_valued_0(k35_valued_1(A)) ) ) )).
fof(fc66_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => v1_xboole_0(k5_xboole_0(k3_funct_2(A,A,k6_partfun1(A),B),B)) ) )).
fof(fc66_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v4_fomodel2(C,B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,B) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(E,k15_fomodel2(B,A)) ) => v1_xboole_0(k5_xboole_0(k25_fomodel2(B,A,E,k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),C),D)),k20_bvfunc_1(k25_fomodel2(B,A,E,C),k25_fomodel2(B,A,E,D)))) ) )).
fof(fc66_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k26_fomodel4(A),A) ) )).
fof(fc66_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_xcmplx_0(B) ) => v1_membered(k17_member_1(A,B)) ) )).
fof(fc66_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & l2_pcs_0(B) ) => v12_pcs_0(k22_pcs_0(A,B)) ) )).
fof(fc66_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) ) => v7_ordinal1(k1_funct_1(A,B)) ) )).
fof(fc66_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k35_valued_1(C)) & v1_partfun1(k35_valued_1(C),A) ) ) )).
fof(fc67_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(B,1)),A)) ) )).
fof(fc67_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(C) & m1_subset_1(D,k15_fomodel2(A,C)) ) => v1_xboole_0(k5_xboole_0(k25_fomodel2(A,C,D,k35_fomodel2(A,B)),k8_margrel1(k25_fomodel2(A,C,D,B)))) ) )).
fof(fc67_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k27_fomodel4(A),A) ) )).
fof(fc67_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => v3_membered(k17_member_1(A,B)) ) )).
fof(fc67_pcs_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_pcs_0(A) & ~ v2_struct_0(B) & l2_pcs_0(B) ) => ~ v2_struct_0(k22_pcs_0(A,B)) ) )).
fof(fc67_valued_0,axiom,( ! [A] : ! [B] : ( v1_xcmplx_0(B) => v1_valued_0(k2_funcop_1(A,B)) ) )).
fof(fc67_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k35_valued_1(C)) & v1_partfun1(k35_valued_1(C),A) ) ) )).
fof(fc68_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_partfun1(D,B) ) => ( v1_relat_1(k3_relat_1(C,D)) & v4_relat_1(k3_relat_1(C,D),A) & v1_partfun1(k3_relat_1(C,D),A) ) ) )).
fof(fc68_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v1_xboole_0(k5_xboole_0(k37_fomodel2(A,k42_fomodel1(A,k43_fomodel1(A,B),C)),C)) ) )).
fof(fc68_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k28_fomodel4(A),A) ) )).
fof(fc68_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v1_rat_1(B) ) => v4_membered(k17_member_1(A,B)) ) )).
fof(fc68_pcs_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & l2_pcs_0(A) & v3_orders_2(B) & l2_pcs_0(B) ) => v3_orders_2(k22_pcs_0(A,B)) ) )).
fof(fc68_valued_0,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => v2_valued_0(k2_funcop_1(A,B)) ) )).
fof(fc68_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k35_valued_1(C)) & v1_partfun1(k35_valued_1(C),A) ) ) )).
fof(fc69_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v1_relat_1(k13_fomodel0(A,B)) & v5_relat_1(k13_fomodel0(A,B),k2_xboole_0(A,k10_xtuple_0(B))) ) ) )).
fof(fc69_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k29_fomodel4(A),A) ) )).
fof(fc69_member_1,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v1_int_1(B) ) => v5_membered(k17_member_1(A,B)) ) )).
fof(fc69_pcs_0,axiom,( ! [A] : ! [B] : ( ( v4_orders_2(A) & l2_pcs_0(A) & v4_orders_2(B) & l2_pcs_0(B) ) => v4_orders_2(k22_pcs_0(A,B)) ) )).
fof(fc69_valued_0,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => v3_valued_0(k2_funcop_1(A,B)) ) )).
fof(fc69_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ( v1_relat_1(k35_valued_1(A)) & v1_funct_1(k35_valued_1(A)) & v1_valued_0(k35_valued_1(A)) & v1_finseq_1(k35_valued_1(A)) ) ) )).
fof(fc6_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_abcmiz_0(A))) ) => ( v1_waybel_0(k4_abcmiz_0(A,B),A) & v12_waybel_0(k4_abcmiz_0(A,B),A) ) ) )).
fof(fc6_abcmiz_1,axiom,( ~ v1_xboole_0(k17_abcmiz_1) )).
fof(fc6_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => v1_relat_1(k10_xtuple_0(C)) ) )).
fof(fc6_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) ) => v1_abian(k3_xcmplx_0(A,B)) ) )).
fof(fc6_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v5_ordinal1(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & v1_finset_1(k1_ordinal4(A,B)) ) ) )).
fof(fc6_afvect0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ( ~ v7_struct_0(k2_tdgroup(A)) & v1_analoaf(k2_tdgroup(A)) & v2_tdgroup(k2_tdgroup(A)) ) ) )).
fof(fc6_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( ~ v2_struct_0(g2_algstr_0(A,B,C)) & v8_algstr_0(g2_algstr_0(A,B,C)) ) ) )).
fof(fc6_algstr_1,axiom,( ~ v2_struct_0(k2_algstr_1) & v29_algstr_0(k2_algstr_1) )).
fof(fc6_algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k5_algstr_4(A,B)) & v1_funct_2(k5_algstr_4(A,B),u1_struct_0(A),u1_struct_0(k4_algstr_4(A,B))) & v2_funct_2(k5_algstr_4(A,B),u1_struct_0(k4_algstr_4(A,B))) ) ) )).
fof(fc6_altcat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( v1_relat_1(k8_pboole(B,C)) & v1_funct_1(k8_pboole(B,C)) & v1_partfun1(k8_pboole(B,C),A) ) ) )).
fof(fc6_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k3_altcat_4(A)) & v2_altcat_1(k3_altcat_4(A)) & v6_altcat_1(k3_altcat_4(A)) & v3_altcat_2(k3_altcat_4(A),A) ) ) )).
fof(fc6_ami_3,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v3_extpro_1(k1_ami_3,k5_card_1(2)) )).
fof(fc6_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v4_amistd_1(k6_ami_3(A,B),k5_card_1(2),k1_ami_3) ) )).
fof(fc6_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & v3_amistd_1(k4_amistd_1(A),A) ) ) )).
fof(fc6_amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) & v2_extpro_1(C,A,B) & m1_subset_1(C,u1_compos_1(B)) & v7_ordinal1(D) ) => v2_extpro_1(k8_compos_0(u1_compos_1(B),C,D),A,B) ) )).
fof(fc6_aofa_000,axiom,( ! [A] : ! [B] : v1_freealg(k2_zfmisc_1(A,B)) )).
fof(fc6_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_aofa_a00(D,A,A,B,C) ) => ( v1_relat_1(k1_funct_1(k1_funct_1(D,E),F)) & v1_funct_1(k1_funct_1(k1_funct_1(D,E),F)) ) ) )).
fof(fc6_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v4_msualg_1(E,A) & v4_msafree4(E,A,C) & v17_aofa_a00(E,A) & v20_aofa_a00(E,4,1,A) & l3_msualg_1(E,A) & v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,k12_aofa_a00(A,C,E,u4_aofa_a00(A,B,C,D))) & m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),F)) ) => v1_int_1(k14_aofa_a00(A,B,C,E,F,H,G)) ) )).
fof(fc6_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k2_aofa_l00(A,B,C)) & v4_relat_1(k2_aofa_l00(A,B,C),B) & v1_funct_1(k2_aofa_l00(A,B,C)) & v1_partfun1(k2_aofa_l00(A,B,C),B) & v1_aofa_l00(k2_aofa_l00(A,B,C),A) ) ) )).
fof(fc6_armstrng,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => v1_finset_1(k9_armstrng(A,B)) ) )).
fof(fc6_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k4_bagorder(A),k15_pre_poly(A)) & v1_relat_2(k4_bagorder(A)) & v4_relat_2(k4_bagorder(A)) & v8_relat_2(k4_bagorder(A)) & v2_bagorder(k4_bagorder(A),A) ) ) )).
fof(fc6_binop_2,axiom,( v1_funct_1(k17_binop_2) & v1_funct_2(k17_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_binop_1(k17_binop_2,k3_numbers) & v2_binop_1(k17_binop_2,k3_numbers) )).
fof(fc6_bor_cant,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v5_relat_1(k9_bor_cant(A,C),B) & v1_funct_1(k9_bor_cant(A,C)) & v1_funct_2(k9_bor_cant(A,C),k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(fc6_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) => v1_tops_2(k7_borsuk_1(A,B,C),k2_borsuk_1(A,B)) ) )).
fof(fc6_borsuk_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & v7_pre_topc(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v7_pre_topc(k2_borsuk_1(A,B)) ) ) )).
fof(fc6_borsuk_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v1_rat_1(A) ) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & ~ v1_rat_1(k4_xcmplx_0(A)) ) ) )).
fof(fc6_borsuk_6,axiom,( v1_funct_1(k4_borsuk_6) & v1_funct_2(k4_borsuk_6,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & v5_pre_topc(k4_borsuk_6,k5_topmetr,k5_topmetr) )).
fof(fc6_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ( v1_funct_1(k10_borsuk_7(A,B,C)) & v1_funct_2(k10_borsuk_7(A,B,C),u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,B,C))) & v3_tops_2(k10_borsuk_7(A,B,C),k8_toprealb(A),k7_toprealb(A,B,C)) ) ) )).
fof(fc6_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v13_algstr_0(k11_c0sp1(A)) & v2_rlvect_1(k11_c0sp1(A)) & v3_rlvect_1(k11_c0sp1(A)) & v4_rlvect_1(k11_c0sp1(A)) & v5_rlvect_1(k11_c0sp1(A)) & v6_rlvect_1(k11_c0sp1(A)) & v7_rlvect_1(k11_c0sp1(A)) & v8_rlvect_1(k11_c0sp1(A)) & v3_normsp_0(k11_c0sp1(A)) & v4_normsp_0(k11_c0sp1(A)) & v2_normsp_1(k11_c0sp1(A)) ) ) )).
fof(fc6_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k5_c0sp2(A)) & v1_lopban_2(k5_c0sp2(A)) ) ) )).
fof(fc6_card_1,axiom,( v1_card_1(k4_ordinal1) )).
fof(fc6_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ~ v1_xboole_0(k8_card_3(A)) & v4_funct_1(k8_card_3(A)) ) ) )).
fof(fc6_card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) ) => ( ~ v1_finset_1(k3_card_2(A,B)) & v1_card_1(k3_card_2(A,B)) ) ) )).
fof(fc6_cardfin2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k4_cardfin2(A,B)) ) )).
fof(fc6_cat_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) ) => ~ v1_xboole_0(k1_cat_7(A,B,B)) ) )).
fof(fc6_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & v2_catalg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc6_cayley,axiom,( ! [A] : ( v1_finset_1(A) => ( v8_struct_0(k2_cayley(A)) & v15_algstr_0(k2_cayley(A)) & v1_monoid_0(k2_cayley(A)) ) ) )).
fof(fc6_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v13_algstr_0(k7_cc0sp1(A)) & v2_rlvect_1(k7_cc0sp1(A)) & v3_rlvect_1(k7_cc0sp1(A)) & v4_rlvect_1(k7_cc0sp1(A)) & v3_normsp_0(k7_cc0sp1(A)) & v4_normsp_0(k7_cc0sp1(A)) & v2_clvect_1(k7_cc0sp1(A)) & v3_clvect_1(k7_cc0sp1(A)) & v4_clvect_1(k7_cc0sp1(A)) & v5_clvect_1(k7_cc0sp1(A)) & v8_clvect_1(k7_cc0sp1(A)) ) ) )).
fof(fc6_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k5_cc0sp2(A)) & v1_clopban2(k5_cc0sp2(A)) ) ) )).
fof(fc6_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v2_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k1_valued_1(A,B)) & v1_partfun1(k1_valued_1(A,B),k2_numbers) & v2_cfdiff_1(k1_valued_1(A,B)) ) ) )).
fof(fc6_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_group_1(k7_cfuncdom(A)) ) )).
fof(fc6_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => v3_cgames_1(k5_finseq_1(A)) ) )).
fof(fc6_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) & m1_circcmb3(C,A) ) => ( ~ v2_struct_0(k2_circcomb(B,C)) & v1_msualg_1(k2_circcomb(B,C)) & v5_circcomb(k2_circcomb(B,C)) ) ) )).
fof(fc6_circcomb,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(A,B)) & ~ v11_struct_0(k2_circcomb(A,B)) & v1_msualg_1(k2_circcomb(A,B)) ) ) )).
fof(fc6_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) & v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ( v1_relat_1(k4_circtrm1(A,B,C,D)) & v2_relat_1(k4_circtrm1(A,B,C,D)) & v4_relat_1(k4_circtrm1(A,B,C,D),u1_struct_0(k1_circtrm1(A,B,C))) & v1_funct_1(k4_circtrm1(A,B,C,D)) & v1_partfun1(k4_circtrm1(A,B,C,D),u1_struct_0(k1_circtrm1(A,B,C))) ) ) )).
fof(fc6_classes2,axiom,( ! [A] : ( v1_ordinal1(A) => v1_ordinal1(k1_classes1(A)) ) )).
fof(fc6_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v2_struct_0(k6_clopban1(A,B)) & v13_algstr_0(k6_clopban1(A,B)) & v2_rlvect_1(k6_clopban1(A,B)) & v3_rlvect_1(k6_clopban1(A,B)) & v4_rlvect_1(k6_clopban1(A,B)) & v1_monoid_0(k6_clopban1(A,B)) & v2_clvect_1(k6_clopban1(A,B)) & v3_clvect_1(k6_clopban1(A,B)) & v4_clvect_1(k6_clopban1(A,B)) & v5_clvect_1(k6_clopban1(A,B)) ) ) )).
fof(fc6_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( v13_algstr_0(k8_clopban2(A)) & v2_rlvect_1(k8_clopban2(A)) & v3_rlvect_1(k8_clopban2(A)) & v4_rlvect_1(k8_clopban2(A)) & v2_clvect_1(k8_clopban2(A)) & v3_clvect_1(k8_clopban2(A)) & v4_clvect_1(k8_clopban2(A)) & v1_vectsp_1(k8_clopban2(A)) & v3_vectsp_1(k8_clopban2(A)) & v2_cfuncdom(k8_clopban2(A)) & v3_group_1(k8_clopban2(A)) ) ) )).
fof(fc6_clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_clopban3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_series_1(k5_normsp_0(A,B))) & v1_funct_2(k2_series_1(k5_normsp_0(A,B)),k4_ordinal1,k1_numbers) & v1_seq_2(k2_series_1(k5_normsp_0(A,B))) ) ) )).
fof(fc6_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v8_closure1(B,A) & l1_closure1(B,A) ) => v3_mssubfam(u1_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc6_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v8_cohsp_1(A) ) => v3_cohsp_1(k9_xtuple_0(A)) ) )).
fof(fc6_compact1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_pre_topc(k1_compact1(A)) & v1_compts_1(k1_compact1(A)) ) ) )).
fof(fc6_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_metric_1(k3_compl_sp(A,B,C)) & v7_metric_1(k3_compl_sp(A,B,C)) ) ) )).
fof(fc6_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( v1_xreal_0(k9_complex1(A)) & ~ v3_xxreal_0(k9_complex1(A)) ) ) )).
fof(fc6_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => ( v1_relat_1(k5_xtuple_0(B)) & v1_funct_1(k5_xtuple_0(B)) & v1_finseq_1(k5_xtuple_0(B)) ) ) )).
fof(fc6_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v7_ordinal1(C) ) => ( v1_relat_1(k5_compos_1(A,B,C)) & v4_relat_1(k5_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k5_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k5_compos_1(A,B,C)) & v1_finset_1(k5_compos_1(A,B,C)) & v1_afinsq_1(k5_compos_1(A,B,C)) ) ) )).
fof(fc6_compos_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_amistd_4(A) & l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,A) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,A) ) => ( v1_relat_1(k1_ordinal4(B,C)) & v1_funct_1(k1_ordinal4(B,C)) & v5_ordinal1(k1_ordinal4(B,C)) & v2_compos_1(k1_ordinal4(B,C),A) ) ) )).
fof(fc6_comput_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ~ v1_xboole_0(k5_comput_1(A,B)) & v1_relat_1(k5_comput_1(A,B)) & v4_relat_1(k5_comput_1(A,B),k3_finseq_2(k4_ordinal1)) & v1_funct_1(k5_comput_1(A,B)) & v4_valued_0(k5_comput_1(A,B)) & v2_margrel1(k5_comput_1(A,B)) & v2_comput_1(k5_comput_1(A,B)) ) ) )).
fof(fc6_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k30_valued_1(A)) & v1_funct_2(k30_valued_1(A),k4_ordinal1,k2_numbers) & v2_comseq_2(k30_valued_1(A)) ) ) )).
fof(fc6_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k2_series_1(A)) & v1_funct_2(k2_series_1(A),k4_ordinal1,k2_numbers) & v2_comseq_2(k2_series_1(A)) ) ) )).
fof(fc6_convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( v5_rlvect_1(k3_convfun1(A,B)) & v6_rlvect_1(k3_convfun1(A,B)) & v7_rlvect_1(k3_convfun1(A,B)) & v8_rlvect_1(k3_convfun1(A,B)) ) ) )).
fof(fc6_csspace,axiom,( ~ v2_struct_0(k16_csspace) & v13_algstr_0(k16_csspace) & v2_rlvect_1(k16_csspace) & v3_rlvect_1(k16_csspace) & v4_rlvect_1(k16_csspace) & v2_clvect_1(k16_csspace) & v3_clvect_1(k16_csspace) & v4_clvect_1(k16_csspace) & v5_clvect_1(k16_csspace) )).
fof(fc6_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ~ v1_xboole_0(k4_csspace4(A,B)) ) )).
fof(fc6_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k1_xboole_0) & v1_funct_1(A) & v1_partfun1(A,k1_xboole_0) & v1_yellow_1(A) ) => ( ~ v2_struct_0(k4_yellow_1(k1_xboole_0,A)) & v1_orders_2(k4_yellow_1(k1_xboole_0,A)) ) ) )).
fof(fc6_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v3_dilworth(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k5_dilworth(A)) ) )).
fof(fc6_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => v3_funct_1(k11_dist_1(A)) ) )).
fof(fc6_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ~ v1_xboole_0(k11_dualsp01(A)) ) )).
fof(fc6_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_pre_topc(k15_euclid(A)) & v13_algstr_0(k15_euclid(A)) & v2_rlvect_1(k15_euclid(A)) & v3_rlvect_1(k15_euclid(A)) & v4_rlvect_1(k15_euclid(A)) & v5_rlvect_1(k15_euclid(A)) & v6_rlvect_1(k15_euclid(A)) & v7_rlvect_1(k15_euclid(A)) & v8_rlvect_1(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc6_euclid_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k35_valued_1(B)) & v1_funct_1(k35_valued_1(B)) & v3_card_1(k35_valued_1(B),A) & v1_valued_0(k35_valued_1(B)) ) ) )).
fof(fc6_exchsort,axiom,( ! [A] : ! [B] : ( v3_ordinal1(A) => ( v1_relat_1(k1_tarski(k4_tarski(A,B))) & v1_funct_1(k1_tarski(k4_tarski(A,B))) & v1_exchsort(k1_tarski(k4_tarski(A,B))) & v2_exchsort(k1_tarski(k4_tarski(A,B)),A) & v3_exchsort(k1_tarski(k4_tarski(A,B)),k1_ordinal1(A)) ) ) )).
fof(fc6_facirc_1,axiom,( ! [A] : ! [B] : ( ~ v1_facirc_1(A) => ~ v1_facirc_1(k3_xboole_0(A,B)) ) )).
fof(fc6_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( v1_funct_1(k24_valued_1(A,B)) & v1_fcont_1(k24_valued_1(A,B)) ) ) )).
fof(fc6_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => v3_rcomp_1(k10_prob_1(A)) ) )).
fof(fc6_fib_num2,axiom,( ! [A] : ! [B] : ( v1_setfam_1(A) => v1_setfam_1(k3_xboole_0(A,B)) ) )).
fof(fc6_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v21_lattices(B,k1_lattice2(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) => v20_lattices(k4_filter_2(A,B),A) ) )).
fof(fc6_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => ( v1_funct_1(k4_finance2(A,B)) & v1_funct_2(k4_finance2(A,B),k4_ordinal1,k9_setfam_1(k1_numbers)) & v3_prob_1(k4_finance2(A,B)) ) ) )).
fof(fc6_finseq_1,axiom,( ! [A] : ( v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) ) )).
fof(fc6_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_relat_1(k6_finseq_2(A,B)) & v2_relat_1(k6_finseq_2(A,B)) & v4_relat_1(k6_finseq_2(A,B),k3_finseq_2(A)) & v1_funct_1(k6_finseq_2(A,B)) & v1_partfun1(k6_finseq_2(A,B),k3_finseq_2(A)) ) ) )).
fof(fc6_finseq_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_finset_1(B) ) => v1_finset_1(k4_finseq_2(A,B)) ) )).
fof(fc6_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : v3_card_1(k8_finseq_4(A,B,C,D,E),5) )).
fof(fc6_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_finseq_1(C,A) ) => ~ v1_xboole_0(k2_finseq_5(A,C,B)) ) )).
fof(fc6_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : v1_finset_1(k4_enumset1(A,B,C,D,E,F)) )).
fof(fc6_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v1_setfam_1(k4_finseq_2(B,A)) ) )).
fof(fc6_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k5_fomodel1(A)) ) )).
fof(fc6_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_relat_1(k3_relat_1(C,D)) & v1_funct_1(k3_relat_1(C,D)) & v3_card_1(k3_relat_1(C,D),k3_finseq_1(C)) & v1_finseq_1(k3_relat_1(C,D)) ) ) )).
fof(fc6_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_relat_1(k5_fomodel3(A,B)) & v1_funct_1(k5_fomodel3(A,B)) & v1_funcop_1(k5_fomodel3(A,B)) ) ) )).
fof(fc6_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k30_fomodel2(A))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k30_fomodel2(A))) ) => v1_fomodel4(k4_tarski(k4_subset_1(k30_fomodel2(A),C,D),B),A) ) )).
fof(fc6_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & v7_fsm_1(C,A,B) & l2_fsm_1(C,A,B) ) => ( v2_fsm_1(k11_fsm_1(A,B,C),A,B) & v7_fsm_1(k11_fsm_1(A,B,C),A,B) ) ) )).
fof(fc6_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & v8_struct_0(C) & l1_fsm_3(C,A,B) ) => ( v8_struct_0(k2_fsm_3(A,B,C)) & v1_fsm_3(k2_fsm_3(A,B,C),A,k9_flang_1(A)) ) ) )).
fof(fc6_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k4_funcop_1(A,B,C)) & v1_funct_1(k4_funcop_1(A,B,C)) ) ) )).
fof(fc6_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k12_funcsdom(A)) & v1_funcsdom(k12_funcsdom(A)) ) ) )).
fof(fc6_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => ( v1_relat_1(k2_funct_1(A)) & v1_funct_1(k2_funct_1(A)) & v2_funct_1(k2_funct_1(A)) ) ) )).
fof(fc6_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v2_funct_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v2_funct_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k3_relat_1(C,B)) & v2_funct_2(k3_relat_1(C,B),A) ) ) )).
fof(fc6_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & v1_funcop_1(k1_funct_4(A,B)) ) ) )).
fof(fc6_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( ~ v1_xboole_0(k1_funct_7(A,B,C)) & v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) ) ) )).
fof(fc6_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_altcat_1(B,C,C)) ) => ( v8_functor0(k9_functor0(A,B,C,D),A,B) & v9_functor0(k9_functor0(A,B,C,D),A,B) & v10_functor0(k9_functor0(A,B,C,D),A,B) & v11_functor0(k9_functor0(A,B,C,D),A,B) ) ) )).
fof(fc6_gate_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xboole_0(B) ) => v1_xboole_0(k3_gate_1(A,B)) ) )).
fof(fc6_gaussint,axiom,( v1_gaussint(k1_xcmplx_0) )).
fof(fc6_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_relat_1(k12_glib_000(A,B,C,D)) & v4_relat_1(k12_glib_000(A,B,C,D),k4_ordinal1) & v1_funct_1(k12_glib_000(A,B,C,D)) & v1_finset_1(k12_glib_000(A,B,C,D)) & v1_glib_000(k12_glib_000(A,B,C,D)) & v2_glib_000(k12_glib_000(A,B,C,D)) ) ) )).
fof(fc6_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_001(B,A) & m3_glib_001(B,A) ) => v3_glib_001(k6_glib_001(A,B),A) ) )).
fof(fc6_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) => v1_finset_1(k1_xtuple_0(B)) ) )).
fof(fc6_gr_cy_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k4_gr_cy_1(A)) & v8_struct_0(k4_gr_cy_1(A)) & v15_algstr_0(k4_gr_cy_1(A)) & v2_group_1(k4_gr_cy_1(A)) & v3_group_1(k4_gr_cy_1(A)) ) ) )).
fof(fc6_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xboole_0(C) ) => v1_xboole_0(k3_graph_3(A,B,C)) ) )).
fof(fc6_group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => ( v15_algstr_0(k2_group_12(A,B,C)) & v1_group_3(k2_group_12(A,B,C),k2_group_7(A,B)) ) ) )).
fof(fc6_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) ) => ( v2_group_1(k5_group_6(A,B)) & v3_group_1(k5_group_6(A,B)) ) ) )).
fof(fc6_group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,u1_struct_0(k3_group_7(A,B))) & m1_subset_1(D,u1_struct_0(k3_group_7(A,B))) ) => ( v1_relat_1(k1_binop_1(u2_algstr_0(k3_group_7(A,B)),C,D)) & v1_funct_1(k1_binop_1(u2_algstr_0(k3_group_7(A,B)),C,D)) ) ) )).
fof(fc6_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v2_group_9(k13_group_9(A,B,C,D),A) & v4_group_9(k13_group_9(A,B,C,D),A,B) ) ) )).
fof(fc6_groupp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v2_group_10(B,A) & l3_algstr_0(B) & v1_group_3(C,B) & m1_group_2(C,B) ) => v2_group_10(k5_group_6(B,C),A) ) )).
fof(fc6_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k6_hahnban1(A,B,C,D)) & v1_funct_2(k6_hahnban1(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(k6_hahnban1(A,B,C,D),B,A) ) ) )).
fof(fc6_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(B,A,k1_complfld) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k1_comseq_2(B)) & v1_funct_2(k1_comseq_2(B),u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(k1_comseq_2(B),A,k1_complfld) ) ) )).
fof(fc6_heyting3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ~ v1_xboole_0(k2_heyting3(A,B)) ) )).
fof(fc6_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v6_ideal_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v6_ideal_1(k13_polynom3(A)) ) ) )).
fof(fc6_hilbert3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k1_hilbert1) ) => ~ v1_xboole_0(k3_hilbert3(A,B)) ) )).
fof(fc6_hilbert4,axiom,( ! [A] : ( v1_relat_1(k1_hilbert4(A)) & v1_funct_1(k1_hilbert4(A)) ) )).
fof(fc6_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) ) => ( v1_relat_1(k3_index_1(B)) & v2_relat_1(k3_index_1(B)) & v1_funct_1(k3_index_1(B)) & v1_partfun1(k3_index_1(B),A) ) ) )).
fof(fc6_int_1,axiom,( v2_int_1(k4_xcmplx_0(1)) )).
fof(fc6_int_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k9_int_3(A)) & v36_algstr_0(k9_int_3(A)) ) ) )).
fof(fc6_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_xcmplx_0(k16_rvsum_1(A)) & v1_int_1(k16_rvsum_1(A)) ) ) )).
fof(fc6_intpro_1,axiom,( v9_intpro_1(k12_intpro_1) )).
fof(fc6_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v5_tops_1(k2_pre_topc(A,k1_tops_1(A,B)),A) ) )).
fof(fc6_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v1_sppol_1(k1_rltopsp1(k15_euclid(2),k13_pscomp_1(A),k10_pscomp_1(A))) ) )).
fof(fc6_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v4_pre_topc(k6_topreal1(A),k15_euclid(2)) ) )).
fof(fc6_jordan1e,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => v4_topreal1(k2_jordan1e(A,B)) ) )).
fof(fc6_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_jordan23(A) ) => ( v1_relat_1(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) & v3_jordan23(k3_finseq_5(A)) ) ) )).
fof(fc6_jordan2c,axiom,( ! [A] : ( ( v4_pre_topc(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v3_pre_topc(k1_jordan2c(2,A),k15_euclid(2)) ) )).
fof(fc6_kurato_1,axiom,( v3_setfam_1(k4_kurato_1(k3_topmetr,k6_kurato_1),u1_struct_0(k3_topmetr)) )).
fof(fc6_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v1_relat_1(k3_lattad_1(A)) & v8_relat_2(k3_lattad_1(A)) ) ) )).
fof(fc6_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l1_lattices(A) ) => ( v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc6_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)) ) ) )).
fof(fc6_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ~ v1_xboole_0(k13_lattice5(A,B,C)) ) )).
fof(fc6_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v15_lattices(A) & l3_lattices(A) ) => ~ v1_xboole_0(k8_latticea(A)) ) )).
fof(fc6_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v4_lexbfs(k15_lexbfs(A,k16_lexbfs(A)),A) ) )).
fof(fc6_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k8_lopban_1(A,B)) & v13_algstr_0(k8_lopban_1(A,B)) & v2_rlvect_1(k8_lopban_1(A,B)) & v3_rlvect_1(k8_lopban_1(A,B)) & v4_rlvect_1(k8_lopban_1(A,B)) & v5_rlvect_1(k8_lopban_1(A,B)) & v6_rlvect_1(k8_lopban_1(A,B)) & v7_rlvect_1(k8_lopban_1(A,B)) & v8_rlvect_1(k8_lopban_1(A,B)) & v1_monoid_0(k8_lopban_1(A,B)) ) ) )).
fof(fc6_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v13_algstr_0(k8_lopban_2(A)) & v2_rlvect_1(k8_lopban_2(A)) & v3_rlvect_1(k8_lopban_2(A)) & v4_rlvect_1(k8_lopban_2(A)) & v5_rlvect_1(k8_lopban_2(A)) & v6_rlvect_1(k8_lopban_2(A)) & v7_rlvect_1(k8_lopban_2(A)) & v1_funcsdom(k8_lopban_2(A)) & v2_funcsdom(k8_lopban_2(A)) & v1_vectsp_1(k8_lopban_2(A)) & v3_vectsp_1(k8_lopban_2(A)) & v3_group_1(k8_lopban_2(A)) ) ) )).
fof(fc6_lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_lopban_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_series_1(k5_normsp_0(A,B))) & v1_funct_2(k2_series_1(k5_normsp_0(A,B)),k4_ordinal1,k1_numbers) & v1_seq_2(k2_series_1(k5_normsp_0(A,B))) ) ) )).
fof(fc6_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( v1_relat_1(k8_lopclset(A)) & v1_funct_1(k8_lopclset(A)) & v2_funct_1(k8_lopclset(A)) ) ) )).
fof(fc6_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k14_lpspacc1(A,B,C)) & v2_rlvect_1(k14_lpspacc1(A,B,C)) & v3_rlvect_1(k14_lpspacc1(A,B,C)) & v4_rlvect_1(k14_lpspacc1(A,B,C)) & v1_clvect_1(k14_lpspacc1(A,B,C)) & v2_clvect_1(k14_lpspacc1(A,B,C)) & v3_clvect_1(k14_lpspacc1(A,B,C)) & v4_clvect_1(k14_lpspacc1(A,B,C)) & v5_clvect_1(k14_lpspacc1(A,B,C)) ) ) )).
fof(fc6_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k20_lpspace1(A,B,C)) & v13_algstr_0(k20_lpspace1(A,B,C)) & v2_rlvect_1(k20_lpspace1(A,B,C)) & v3_rlvect_1(k20_lpspace1(A,B,C)) & v4_rlvect_1(k20_lpspace1(A,B,C)) & v5_rlvect_1(k20_lpspace1(A,B,C)) & v6_rlvect_1(k20_lpspace1(A,B,C)) & v7_rlvect_1(k20_lpspace1(A,B,C)) & v8_rlvect_1(k20_lpspace1(A,B,C)) & v2_normsp_1(k20_lpspace1(A,B,C)) ) ) )).
fof(fc6_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( ~ v2_struct_0(k10_lpspace2(A,B,C,D)) & v1_rlvect_1(k10_lpspace2(A,B,C,D)) ) ) )).
fof(fc6_ltlaxio3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => ~ v1_xboole_0(k5_ltlaxio3(A)) ) )).
fof(fc6_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ( ~ v1_xboole_0(k9_ltlaxio4(A)) & v1_finset_1(k9_ltlaxio4(A)) ) ) )).
fof(fc6_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,B,k8_cqc_lang(A,B,C)),k8_cqc_lang(A,B,C)),A) ) )).
fof(fc6_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => v3_finseq_1(k9_xtuple_0(B)) ) )).
fof(fc6_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ( v1_funct_1(k5_matrix11(A)) & v1_funct_2(k5_matrix11(A),k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),k3_finseq_2(u1_struct_0(A))),k3_finseq_2(u1_struct_0(A))) & v2_binop_1(k5_matrix11(A),k3_finseq_2(u1_struct_0(A))) ) ) )).
fof(fc6_matroid0,axiom,( ! [A] : ( v1_pre_topc(k2_matroid0(A)) & ~ v3_pencil_1(k2_matroid0(A)) & v1_matroid0(k2_matroid0(A)) ) )).
fof(fc6_matrtop1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k1_finseq_3(A,B)) & v1_funct_1(k1_finseq_3(A,B)) & v1_finseq_1(k1_finseq_3(A,B)) & v1_valued_0(k1_finseq_3(A,B)) ) ) )).
fof(fc6_matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k3_relat_1(C,B)) & v1_funct_2(k3_relat_1(C,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_relat_1(C,B),A) ) ) )).
fof(fc6_measure6,axiom,( ! [A] : ( v3_membered(A) => v2_rcomp_1(k5_measure6(A)) ) )).
fof(fc6_member_1,axiom,( ! [A] : ( ( v1_membered(A) & ~ v1_xboole_0(A) ) => ( v1_membered(k5_member_1(A)) & ~ v1_xboole_0(k5_member_1(A)) ) ) )).
fof(fc6_membered,axiom,( v6_membered(k4_ordinal1) )).
fof(fc6_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k4_memstr_0(A,B,C)) ) => v5_funct_1(k17_funcop_1(C,D),k2_memstr_0(A,B)) ) )).
fof(fc6_mesfunc7,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => v2_valued_0(k5_finseq_1(A)) ) )).
fof(fc6_metric_1,axiom,( v1_metric_1(k7_metric_1) & v6_metric_1(k7_metric_1) & v7_metric_1(k7_metric_1) & v8_metric_1(k7_metric_1) & v9_metric_1(k7_metric_1) )).
fof(fc6_metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v5_waybel23(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v5_waybel23(k1_pre_topc(A,B)) ) ) )).
fof(fc6_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & v3_mfold_0(A) & l1_pre_topc(A) ) => v1_xboole_0(k2_mfold_0(A)) ) )).
fof(fc6_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_pre_topc(k4_mfold_2(A)) & v2_mfold_1(k4_mfold_2(A),A) ) ) )).
fof(fc6_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( v4_relat_2(k3_mmlquer2(A,B)) & v8_relat_2(k3_mmlquer2(A,B)) & v1_mmlquer2(k3_mmlquer2(A,B),A) ) ) )).
fof(fc6_mmlquery,axiom,( ! [A] : ! [B] : ( ( v3_mmlquery(A) & l1_mmlquery(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_finset_1(k30_mmlquery(A,B)) ) )).
fof(fc6_mod_2,axiom,( v13_algstr_0(k18_mod_2) & v36_algstr_0(k18_mod_2) & v3_rlvect_1(k18_mod_2) & v4_rlvect_1(k18_mod_2) )).
fof(fc6_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k2_mod_4(A)) & v3_rlvect_1(k2_mod_4(A)) ) ) )).
fof(fc6_modelc_1,axiom,( ! [A] : ! [B] : ( ( v1_modelc_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_1(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_modelc_1(k11_modelc_1(A,B)) ) )).
fof(fc6_modelc_2,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_modelc_2(k7_modelc_2(A,B)) ) )).
fof(fc6_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_relat_1(k5_moebius1(A)) & v4_relat_1(k5_moebius1(A),k8_newton) & v1_funct_1(k5_moebius1(A)) & v1_partfun1(k5_moebius1(A),k8_newton) & v4_valued_0(k5_moebius1(A)) & v2_pre_poly(k5_moebius1(A)) ) ) )).
fof(fc6_moebius2,axiom,( v1_funct_1(k2_moebius2) & v1_funct_2(k2_moebius2,k4_ordinal1,k1_numbers) & v4_partfun3(k2_moebius2) )).
fof(fc6_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_dtconstr(k5_msafree(A,B)) & v2_dtconstr(k5_msafree(A,B)) & v3_dtconstr(k5_msafree(A,B)) ) ) )).
fof(fc6_msafree1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ~ v1_xboole_0(k3_msualg_1(A,B,C)) ) )).
fof(fc6_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_finseq_1(A) & v6_trees_3(A) ) => ( v1_relat_1(k4_trees_4(B,A)) & v1_funct_1(k4_trees_4(B,A)) & v1_finset_1(k4_trees_4(B,A)) & v3_trees_2(k4_trees_4(B,A)) ) ) )).
fof(fc6_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) ) => v3_finseq_1(k9_xtuple_0(k1_funct_1(A,B))) ) )).
fof(fc6_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) => ( v1_relat_1(k2_pboole(A,B,C)) & v4_relat_1(k2_pboole(A,B,C),A) & v1_funct_1(k2_pboole(A,B,C)) & v1_partfun1(k2_pboole(A,B,C),A) & v2_finset_1(k2_pboole(A,B,C)) ) ) )).
fof(fc6_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v3_msualg_1(g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)),A) & v4_msualg_1(g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)),A) ) ) )).
fof(fc6_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v3_msualg_6(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_msualg_4(k9_msualg_6(A,B,C),A,B) & v3_msualg_6(k9_msualg_6(A,B,C),A,B) ) ) )).
fof(fc6_mycielsk,axiom,( ! [A] : ( ( v2_struct_0(A) & l1_orders_2(A) ) => ( v1_xboole_0(k3_mycielsk(A)) & v7_ordinal1(k3_mycielsk(A)) ) ) )).
fof(fc6_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v7_ordinal1(k4_xxreal_0(A,B)) & v1_xxreal_0(k4_xxreal_0(A,B)) ) ) )).
fof(fc6_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) ) => v1_xboole_0(k13_pre_poly(k4_nat_3(A,B,k5_numbers))) ) )).
fof(fc6_nat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_ec_pf_2(C,B) ) => v1_ec_pf_2(k1_newton(A,C),k1_newton(A,B)) ) )).
fof(fc6_nat_lat,axiom,( ~ v2_struct_0(k10_nat_lat) & v3_lattices(k10_nat_lat) )).
fof(fc6_neckla_3,axiom,( ! [A] : ! [B] : ( ( v8_struct_0(A) & l1_orders_2(A) & v8_struct_0(B) & l1_orders_2(B) ) => ( v8_struct_0(k2_neckla_2(A,B)) & v1_orders_2(k2_neckla_2(A,B)) ) ) )).
fof(fc6_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_orders_2(k4_necklace(A)) & v3_necklace(k4_necklace(A)) ) ) )).
fof(fc6_newton,axiom,( ! [A] : ( v7_ordinal1(A) => v1_xreal_0(k2_newton(A)) ) )).
fof(fc6_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v2_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k5_relat_1(B,C)) & v2_nfcont_3(k5_relat_1(B,C),A) ) ) )).
fof(fc6_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v2_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_funct_1(C) & v2_nfcont_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_funct_1(k7_integr15(A,k1_numbers,B,C)) & v2_nfcont_4(k7_integr15(A,k1_numbers,B,C),A) ) ) )).
fof(fc6_normform,axiom,( ! [A] : ( v3_lattices(k11_normform(A)) & v11_lattices(k11_normform(A)) & v13_lattices(k11_normform(A)) ) )).
fof(fc6_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k4_normsp_2(A)) & v3_frechet(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A)) ) ) )).
fof(fc6_numbers,axiom,( ~ v1_finset_1(k4_numbers) )).
fof(fc6_numpoly1,axiom,( ! [A] : ( v8_ordinal1(A) => ( v8_ordinal1(k1_numpoly1(A)) & v1_xreal_0(k1_numpoly1(A)) ) ) )).
fof(fc6_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( v1_relat_1(k8_openlatt(A)) & v1_funct_1(k8_openlatt(A)) & v2_funct_1(k8_openlatt(A)) ) ) )).
fof(fc6_oposet_1,axiom,( v3_necklace(k2_oposet_1) & v3_qmax_1(k2_oposet_1) )).
fof(fc6_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k5_ordeq_01(A,B)) & v1_normsp_1(k5_ordeq_01(A,B)) & v3_lopban_1(k5_ordeq_01(A,B)) ) ) )).
fof(fc6_orders_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_orders_2(g1_orders_2(A,B)) & v3_orders_2(g1_orders_2(A,B)) ) ) )).
fof(fc6_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ( ~ v2_struct_0(k4_orders_3(A)) & v2_altcat_1(k4_orders_3(A)) & v6_altcat_1(k4_orders_3(A)) ) ) )).
fof(fc6_ordinal1,axiom,( ~ v1_xboole_0(k4_ordinal1) & v3_ordinal1(k4_ordinal1) )).
fof(fc6_ordinal2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(C) & v7_ordinal1(D) ) => v7_ordinal1(k14_funcop_1(A,B,C,D)) ) )).
fof(fc6_ordinal5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v3_ordinal1(k12_ordinal2(A,B)) & v7_ordinal1(k12_ordinal2(A,B)) ) ) )).
fof(fc6_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(A)) & v5_ordinal1(k4_relat_1(A)) & v1_ordinal2(k4_relat_1(A)) & v2_ordinal2(k4_relat_1(A)) ) ) )).
fof(fc6_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ~ v1_xboole_0(k3_msualg_1(A,C,k8_osafree(A,B))) ) )).
fof(fc6_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v12_osalg_1(C,A) & m1_msualg_2(C,A,B) & v12_osalg_1(D,A) & m1_msualg_2(D,A,B) ) => ( v3_msualg_1(k11_msualg_2(A,B,C,D),A) & v12_osalg_1(k11_msualg_2(A,B,C,D),A) ) ) )).
fof(fc6_partfun3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => v1_xboole_0(k8_relat_1(A,k1_tarski(k5_numbers))) ) )).
fof(fc6_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v1_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v1_relat_2(k3_pcs_0(A,A,B,B,C,D)) ) )).
fof(fc6_polyeq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) & v1_xcmplx_0(E) ) => v1_xcmplx_0(k4_polyeq_1(A,B,C,D,E)) ) )).
fof(fc6_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( v1_funct_1(k10_polynom1(A,B,C,D)) & v1_funct_2(k10_polynom1(A,B,C,D),k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(k10_polynom1(A,B,C,D),B) ) ) )).
fof(fc6_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_polynom2(A,B,C)) & v1_funct_2(k3_polynom2(A,B,C),u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)) & v1_group_6(k3_polynom2(A,B,C),k12_polynom1(A,B),B) ) ) )).
fof(fc6_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ( v1_funct_1(k9_polynom3(A)) & v1_funct_2(k9_polynom3(A),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k9_polynom3(A),A) ) ) )).
fof(fc6_polynom5,axiom,( v36_algstr_0(k1_complfld) & v2_polynom5(k1_complfld) )).
fof(fc6_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ( ~ v2_struct_0(k6_poset_1(A,B)) & v1_orders_2(k6_poset_1(A,B)) & v3_orders_2(k6_poset_1(A,B)) & v4_orders_2(k6_poset_1(A,B)) & v5_orders_2(k6_poset_1(A,B)) & v1_poset_1(k6_poset_1(A,B)) ) ) )).
fof(fc6_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => ( v1_relat_1(k10_pralg_2(A,B,C)) & v2_relat_1(k10_pralg_2(A,B,C)) & v4_relat_1(k10_pralg_2(A,B,C),u1_struct_0(B)) & v1_funct_1(k10_pralg_2(A,B,C)) & v1_partfun1(k10_pralg_2(A,B,C),u1_struct_0(B)) ) ) )).
fof(fc6_pre_circ,axiom,( ! [A] : ( v1_relat_1(k1_trees_4(A)) & v1_funct_1(k1_trees_4(A)) & v1_finset_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A)) ) )).
fof(fc6_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_pre_poly(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_pre_poly(B) ) => ( v1_relat_1(k8_pre_poly(A,B)) & v1_funct_1(k8_pre_poly(A,B)) & v1_finseq_1(k8_pre_poly(A,B)) ) ) )).
fof(fc6_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) & v2_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) ) ) )).
fof(fc6_prefer_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) ) => ( ~ v2_struct_0(k2_prefer_1(A)) & v3_prefer_1(k2_prefer_1(A)) & v4_prefer_1(k2_prefer_1(A)) ) ) )).
fof(fc6_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v8_algstr_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ( ~ v2_struct_0(k4_prvect_3(A,B)) & v8_algstr_0(k4_prvect_3(A,B)) & v13_algstr_0(k4_prvect_3(A,B)) & v2_rlvect_1(k4_prvect_3(A,B)) & v3_rlvect_1(k4_prvect_3(A,B)) & v4_rlvect_1(k4_prvect_3(A,B)) ) ) )).
fof(fc6_pscomp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k14_pscomp_1(A)) & v2_compts_1(k14_pscomp_1(A),k15_euclid(2)) ) ) )).
fof(fc6_pythtrip,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & ~ v1_abian(A) & v1_pythtrip(A) & v1_int_1(B) & ~ v1_abian(B) & v1_pythtrip(B) ) => ~ v1_pythtrip(k2_xcmplx_0(A,B)) ) )).
fof(fc6_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k6_qc_lang1(A)) ) )).
fof(fc6_quatern2,axiom,( ~ v6_struct_0(k15_quatern2) & v13_algstr_0(k15_quatern2) & v34_algstr_0(k15_quatern2) & v36_algstr_0(k15_quatern2) & v2_rlvect_1(k15_quatern2) & v3_rlvect_1(k15_quatern2) & v4_rlvect_1(k15_quatern2) & v3_vectsp_1(k15_quatern2) & v5_vectsp_1(k15_quatern2) & v6_vectsp_1(k15_quatern2) & v3_group_1(k15_quatern2) )).
fof(fc6_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => v1_quaterni(k9_quaterni(A,B)) ) )).
fof(fc6_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k19_quofield(A)) & v5_group_1(k19_quofield(A)) ) ) )).
fof(fc6_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( v1_xcmplx_0(k5_xcmplx_0(A)) & v1_rat_1(k5_xcmplx_0(A)) ) ) )).
fof(fc6_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ( v1_funct_1(k10_polynom3(A)) & v1_funct_2(k10_polynom3(A),k4_ordinal1,u1_struct_0(A)) & v2_ratfunc1(k10_polynom3(A),A) ) ) )).
fof(fc6_rcomp_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v5_xxreal_2(k4_xxreal_1(A,B)) ) )).
fof(fc6_real_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => v8_ordinal1(k7_xcmplx_0(A,k5_numbers)) ) )).
fof(fc6_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k7_real_ns1(A)) & v13_algstr_0(k7_real_ns1(A)) & v2_rlvect_1(k7_real_ns1(A)) & v3_rlvect_1(k7_real_ns1(A)) & v4_rlvect_1(k7_real_ns1(A)) & v5_rlvect_1(k7_real_ns1(A)) & v6_rlvect_1(k7_real_ns1(A)) & v7_rlvect_1(k7_real_ns1(A)) & v8_rlvect_1(k7_real_ns1(A)) & v1_bhsp_1(k7_real_ns1(A)) & v2_bhsp_1(k7_real_ns1(A)) ) ) )).
fof(fc6_relat_1,axiom,( ! [A] : ! [B] : v1_relat_1(k2_zfmisc_1(A,B)) )).
fof(fc6_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_2(A) & v1_relat_1(B) & v2_relat_2(B) ) => v2_relat_2(k2_xboole_0(A,B)) ) )).
fof(fc6_reloc,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v2_amistd_5(k1_ami_3,k5_card_1(2)) )).
fof(fc6_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_relat_1(C) ) => v5_relat_1(k4_xboole_0(B,C),A) ) )).
fof(fc6_revrot_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v2_goboard5(B) & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => v2_goboard5(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) )).
fof(fc6_rewrite2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_rewrite2(B) ) => ( v1_relat_1(k2_rewrite2(A,B)) & v1_funct_1(k2_rewrite2(A,B)) & v1_finseq_1(k2_rewrite2(A,B)) & v1_rewrite2(k2_rewrite2(A,B)) ) ) )).
fof(fc6_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_seq_2(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_funct_1(k5_relat_1(A,B)) & v3_valued_0(k5_relat_1(A,B)) & v1_seq_2(k5_relat_1(A,B)) ) ) )).
fof(fc6_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v36_algstr_0(k2_ring_1(A,B)) & v5_group_1(k2_ring_1(A,B)) ) ) )).
fof(fc6_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & ~ v6_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) ) => ( v1_funct_1(k6_struct_0(A,B,k4_struct_0(B))) & v1_funct_2(k6_struct_0(A,B,k4_struct_0(B)),u1_struct_0(A),u1_struct_0(B)) & ~ v6_group_1(k6_struct_0(A,B,k4_struct_0(B)),A,B) ) ) )).
fof(fc6_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( v2_cat_1(k17_ringcat1(A)) & v3_cat_1(k17_ringcat1(A)) & v4_cat_1(k17_ringcat1(A)) & v5_cat_1(k17_ringcat1(A)) ) ) )).
fof(fc6_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(C) ) => v1_rlaffin1(k1_convex1(A,B,C),A) ) )).
fof(fc6_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => v4_pre_topc(k4_topreal9(k15_euclid(A),B,C),k15_euclid(A)) ) )).
fof(fc6_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k3_rltopsp1(A,B)) & v1_funct_2(k3_rltopsp1(A,B),u1_struct_0(A),u1_struct_0(A)) & v3_tops_2(k3_rltopsp1(A,B),A,A) ) ) )).
fof(fc6_robbins4,axiom,( v10_lattices(k2_robbins4) & v4_robbins1(k2_robbins4) )).
fof(fc6_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & l1_orders_2(A) ) => v8_relat_2(u1_orders_2(A)) ) )).
fof(fc6_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k6_roughs_2(A)) & v1_funct_2(k6_roughs_2(A),k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & v7_roughs_2(k6_roughs_2(A),A) ) ) )).
fof(fc6_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ~ v1_xboole_0(k4_rsspace4(A,B)) ) )).
fof(fc6_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v3_valued_0(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) ) ) )).
fof(fc6_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( v1_xreal_0(k2_rvsum_3(A)) & v2_xxreal_0(k2_rvsum_3(A)) ) ) )).
fof(fc6_scm_halt,axiom,( ! [A] : ! [B] : ( ( v1_scmfsa6c(A) & v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(B) & v2_scm_halt(B) ) => ( ~ v1_xboole_0(k4_scmfsa6a(B,A)) & v1_relat_1(k4_scmfsa6a(B,A)) & v4_relat_1(k4_scmfsa6a(B,A),k4_ordinal1) & v5_relat_1(k4_scmfsa6a(B,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa6a(B,A)) & v1_finset_1(k4_scmfsa6a(B,A)) & v1_afinsq_1(k4_scmfsa6a(B,A)) & v1_scm_halt(k4_scmfsa6a(B,A)) & v2_scm_halt(k4_scmfsa6a(B,A)) ) ) )).
fof(fc6_scm_inst,axiom,( ~ v1_xboole_0(k3_scm_inst) & v3_compos_0(k3_scm_inst) )).
fof(fc6_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v4_amistd_1(k10_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc6_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k4_scmfsa6a(A,B)) & v4_relat_1(k4_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k4_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_scmfsa6a(A,B)) & v1_funct_1(k4_scmfsa6a(A,B)) & v1_finset_1(k4_scmfsa6a(A,B)) & v1_afinsq_1(k4_scmfsa6a(A,B)) & v3_compos_1(k4_scmfsa6a(A,B),k1_scmfsa_2) & v4_compos_1(k4_scmfsa6a(A,B),k1_scmfsa_2) ) ) )).
fof(fc6_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_scmfsa6c(k7_scmfsa_2(A,B)) ) )).
fof(fc6_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k2_scmfsa8b(A,B,C)) & v1_relat_1(k2_scmfsa8b(A,B,C)) & v4_relat_1(k2_scmfsa8b(A,B,C),k4_ordinal1) & v5_relat_1(k2_scmfsa8b(A,B,C),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa8b(A,B,C)) & v1_finset_1(k2_scmfsa8b(A,B,C)) & v1_afinsq_1(k2_scmfsa8b(A,B,C)) & v3_compos_1(k2_scmfsa8b(A,B,C),k1_scmfsa_2) & v4_compos_1(k2_scmfsa8b(A,B,C),k1_scmfsa_2) ) ) )).
fof(fc6_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v2_extpro_1(k6_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc6_scmfsa_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => v4_compos_0(k14_scmfsa_2(B,A,C),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc6_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k4_scmfsa_x(B,A)) & v4_relat_1(k4_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k4_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_scmfsa_x(B,A)) & v1_funct_1(k4_scmfsa_x(B,A)) & v1_finset_1(k4_scmfsa_x(B,A)) & v1_afinsq_1(k4_scmfsa_x(B,A)) & v1_scmfsa7b(k4_scmfsa_x(B,A)) ) ) )).
fof(fc6_scmfsa_i,axiom,( ~ v1_xboole_0(k2_scmfsa_i) & v5_compos_0(k2_scmfsa_i) )).
fof(fc6_scmfsa_m,axiom,( v1_ami_2(k4_scmfsa_2(k5_numbers)) & v1_scmfsa_m(k4_scmfsa_2(k5_numbers)) )).
fof(fc6_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( v1_relat_1(k4_scmfsa_x(B,A)) & v4_relat_1(k4_scmfsa_x(B,A),k4_ordinal1) & v5_relat_1(k4_scmfsa_x(B,A),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k4_scmfsa_x(B,A)) & v1_funct_1(k4_scmfsa_x(B,A)) & v1_finset_1(k4_scmfsa_x(B,A)) & v1_afinsq_1(k4_scmfsa_x(B,A)) & v5_amistd_1(k4_scmfsa_x(B,A),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc6_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v4_scmpds_4(k14_scmpds_2(A,B,C,D)) ) )).
fof(fc6_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v6_compos_0(k9_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc6_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( v1_relat_1(k2_scmpds_6(C,D,A,B)) & v4_relat_1(k2_scmpds_6(C,D,A,B),k4_ordinal1) & v5_relat_1(k2_scmpds_6(C,D,A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k2_scmpds_6(C,D,A,B)) & v1_funct_1(k2_scmpds_6(C,D,A,B)) & v1_finset_1(k2_scmpds_6(C,D,A,B)) & v1_afinsq_1(k2_scmpds_6(C,D,A,B)) & v2_compos_1(k2_scmpds_6(C,D,A,B),k1_scmpds_2) ) ) )).
fof(fc6_scmpds_i,axiom,( v5_compos_0(k1_scmpds_i) )).
fof(fc6_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k5_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc6_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v4_amistd_1(k7_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc6_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v1_xboole_0(k1_scmringi(A)) & v3_compos_0(k1_scmringi(A)) ) ) )).
fof(fc6_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_scmyciel(B,A) & v3_scmyciel(C,A) ) => v3_scmyciel(k2_xboole_0(B,C),A) ) )).
fof(fc6_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k54_valued_1(A)) & v1_funct_2(k54_valued_1(A),k4_ordinal1,k1_numbers) & v2_comseq_2(k54_valued_1(A)) ) ) )).
fof(fc6_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) ) => v1_setfam_1(k3_enumset1(A,B,C,D,E)) ) )).
fof(fc6_sfmastr1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => v1_sfmastr1(k11_scmfsa_2(A)) ) )).
fof(fc6_simplex0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k1_simplex0(A)) & v1_classes1(k1_simplex0(A)) ) ) )).
fof(fc6_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v6_simplex0(B,u1_struct_0(A)) & v1_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) ) => ( ~ v3_pencil_1(k4_simplex1(A,B)) & v1_matroid0(k4_simplex1(A,B)) & v3_matroid0(k4_simplex1(A,B)) & v1_simplex1(k4_simplex1(A,B),A) ) ) )).
fof(fc6_sin_cos,axiom,( v1_funct_1(k16_sin_cos) & v1_funct_2(k16_sin_cos,k1_numbers,k1_numbers) & v1_fcont_1(k16_sin_cos) )).
fof(fc6_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) & v2_funct_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(fc6_sin_cos9,axiom,( v1_funct_1(k2_sin_cos9) & v2_funct_1(k2_sin_cos9) )).
fof(fc6_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k6_sincos10(A)) ) )).
fof(fc6_sppol_2,axiom,( ! [A] : ! [B] : ( ( v3_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => v3_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)) ) )).
fof(fc6_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_finseq_6(k1_sprect_1(A),u1_struct_0(k15_euclid(2))) & v1_topreal1(k1_sprect_1(A)) & v2_topreal1(k1_sprect_1(A)) & v1_goboard5(k1_sprect_1(A)) & v2_goboard5(k1_sprect_1(A)) ) ) )).
fof(fc6_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_stacks_1(A)) & ~ v11_struct_0(k8_stacks_1(A)) & v1_stacks_1(k8_stacks_1(A)) & v4_stacks_1(k8_stacks_1(A)) ) ) )).
fof(fc6_struct_0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_struct_0(A) ) => ~ v1_zfmisc_1(u1_struct_0(A)) ) )).
fof(fc6_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ~ v1_xboole_0(k5_enumset1(A,B,C,D,E,F,G)) )).
fof(fc6_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => v5_substut1(k20_substut1(A,B),A) ) )).
fof(fc6_tex_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ~ v2_struct_0(k3_tex_1(A,B)) ) )).
fof(fc6_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_subset_1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_subset_1(k1_tops_1(A,B),u1_struct_0(A)) ) )).
fof(fc6_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) ) => ( v1_funct_1(k6_topalg_1(A,B,C,D)) & v1_funct_2(k6_topalg_1(A,B,C,D),u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(A,B))) & v1_group_6(k6_topalg_1(A,B,C,D),k5_topalg_1(A,C),k5_topalg_1(A,B)) ) ) )).
fof(fc6_topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & v5_pre_topc(D,k2_borsuk_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( v1_funct_1(k3_topalg_5(A,B,C,D,E)) & v1_funct_2(k3_topalg_5(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v5_pre_topc(k3_topalg_5(A,B,C,D,E),A,C) ) ) )).
fof(fc6_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ~ v2_struct_0(k3_mfold_2(A,B,C)) & v1_topalg_6(k3_mfold_2(A,B,C)) ) ) )).
fof(fc6_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) & m1_borsuk_2(D,A,B,B) ) => ( v1_funct_1(k12_topalg_7(A,B,C,D)) & v1_funct_2(k12_topalg_7(A,B,C,D),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(A)) & v5_pre_topc(k12_topalg_7(A,B,C,D),k2_borsuk_1(k5_topmetr,k5_topmetr),A) ) ) )).
fof(fc6_topdim_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v3_topdim_1(k1_pre_topc(A,B)) ) ) )).
fof(fc6_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v1_xboole_0(k1_topgen_4(A)) & v1_prob_1(k1_topgen_4(A),u1_struct_0(A)) & v1_topgen_4(k1_topgen_4(A),A) & v3_topgen_4(k1_topgen_4(A),u1_struct_0(A)) ) ) )).
fof(fc6_topgrp_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_tops_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B)) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),u1_struct_0(A),u1_struct_0(A)) & v3_tops_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),A,A) ) ) )).
fof(fc6_topmetr,axiom,( v1_metric_1(k7_metric_1) & v3_topmetr(k7_metric_1) )).
fof(fc6_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k6_topreal1(A)) ) )).
fof(fc6_topreal6,axiom,( ! [A] : ( ( v4_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v4_xxreal_2(k5_measure6(A)) ) )).
fof(fc6_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v4_pre_topc(k2_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc6_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k2_xxreal_1(k6_xcmplx_0(A,B),A)) ) )).
fof(fc6_toprealb,axiom,( v1_funct_1(k1_sin_cos6) & v1_fcont_1(k1_sin_cos6) )).
fof(fc6_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_xcmplx_0(C) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v1_valued_0(k1_funct_7(A,B,C)) ) ) )).
fof(fc6_tops_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k3_xboole_0(B,C),A) ) )).
fof(fc6_trees_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_subset_1(B,A) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_trees_1(C) ) => ( ~ v1_xboole_0(k5_trees_1(A,B,C)) & v1_finset_1(k5_trees_1(A,B,C)) & v1_trees_1(k5_trees_1(A,B,C)) ) ) )).
fof(fc6_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_trees_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v4_trees_3(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v4_trees_3(k7_finseq_1(A,B)) ) ) )).
fof(fc6_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ( ~ v1_xboole_0(k3_trees_9(A)) & v3_trees_3(k3_trees_9(A)) ) ) )).
fof(fc6_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_valued_0(A) ) => v6_membered(k10_xtuple_0(A)) ) )).
fof(fc6_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v4_valued_0(B) ) => ( v1_relat_1(k1_valued_1(A,B)) & v1_funct_1(k1_valued_1(A,B)) & v4_valued_0(k1_valued_1(A,B)) ) ) )).
fof(fc6_valued_2,axiom,( ! [A] : v3_valued_2(k6_valued_2(A)) )).
fof(fc6_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v2_struct_0(k5_vectmetr(A)) & v15_algstr_0(k5_vectmetr(A)) ) ) )).
fof(fc6_vectsp_1,axiom,( v36_algstr_0(k2_vectsp_1) & v4_vectsp_1(k2_vectsp_1) )).
fof(fc6_waybel10,axiom,( ! [A] : ( l1_orders_2(A) => ( ~ v2_struct_0(k3_waybel10(A)) & v1_orders_2(k3_waybel10(A)) & v3_orders_2(k3_waybel10(A)) & v4_orders_2(k3_waybel10(A)) & v5_orders_2(k3_waybel10(A)) ) ) )).
fof(fc6_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(k3_waybel11(A,B,C)) & v4_orders_2(k3_waybel11(A,B,C)) & v6_waybel_0(k3_waybel11(A,B,C),A) ) ) )).
fof(fc6_waybel17,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v4_orders_2(k4_waybel17(A,B)) & v6_waybel_0(k4_waybel17(A,B),A) ) ) )).
fof(fc6_waybel18,axiom,( v1_pre_topc(k9_waybel18) & v6_pre_topc(k9_waybel18) )).
fof(fc6_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_waybel23(k6_waybel_0(A,B),A) ) )).
fof(fc6_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) ) => ( ~ v2_struct_0(k3_waybel24(A,B)) & v1_orders_2(k3_waybel24(A,B)) ) ) )).
fof(fc6_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => ( v3_orders_2(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc6_waybel27,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k2_waybel27(A,B)) & v3_lattice3(k2_waybel27(A,B)) ) ) )).
fof(fc6_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( ~ v7_struct_0(k1_yellow_1(k2_waybel19(A))) & v1_orders_2(k1_yellow_1(k2_waybel19(A))) & v3_lattice3(k1_yellow_1(k2_waybel19(A))) ) ) )).
fof(fc6_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ~ v2_struct_0(k2_waybel32(A,B)) & v6_waybel_0(k2_waybel32(A,B),A) & v7_waybel_0(k2_waybel32(A,B)) & v10_waybel_0(k2_waybel32(A,B),A) ) ) )).
fof(fc6_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k5_waybel34(A)) & v2_altcat_1(k5_waybel34(A)) & v6_altcat_1(k5_waybel34(A)) & v11_altcat_1(k5_waybel34(A)) & v12_altcat_1(k5_waybel34(A)) & v2_yellow21(k5_waybel34(A)) & v3_yellow21(k5_waybel34(A)) ) ) )).
fof(fc6_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k3_waybel_0(A,B)) ) )).
fof(fc6_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_waybel_1(A,B,C)) & v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k1_yellow_2(A,B,C))) & v2_funct_2(k2_waybel_1(A,B,C),u1_struct_0(k1_yellow_2(A,B,C))) ) ) )).
fof(fc6_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( v6_waybel_0(k3_waybel_2(A,B,C),A) & v7_waybel_0(k3_waybel_2(A,B,C)) ) ) )).
fof(fc6_waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v3_waybel_3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k1_waybel_3(A,B)) & v1_waybel_0(k1_waybel_3(A,B),A) ) ) )).
fof(fc6_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k3_waybel_4(A))) & v2_yellow_0(k1_yellow_1(k3_waybel_4(A))) ) ) )).
fof(fc6_waybel_8,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc6_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & v5_orders_2(C) & l1_waybel_0(C,A) ) => ( v5_orders_2(k3_waybel_2(A,B,C)) & v6_waybel_0(k3_waybel_2(A,B,C),A) ) ) )).
fof(fc6_wellord2,axiom,( v1_relat_1(k1_wellord2(k1_xboole_0)) & v1_xboole_0(k1_wellord2(k1_xboole_0)) )).
fof(fc6_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k7_xboolean(A,B)) ) )).
fof(fc6_xcmplx_0,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) ) => ( ~ v8_ordinal1(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)) ) ) )).
fof(fc6_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k3_xcmplx_0(A,B)) ) )).
fof(fc6_xtuple_0,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k11_xtuple_0(A)) ) )).
fof(fc6_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v1_xxreal_0(k4_xxreal_0(A,B)) ) )).
fof(fc6_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => v1_xboole_0(k2_xxreal_1(A,A)) ) )).
fof(fc6_xxreal_2,axiom,( ! [A] : ( ( v6_membered(A) & v1_xxreal_2(A) ) => ( v1_xxreal_0(k2_xxreal_2(A)) & v7_ordinal1(k2_xxreal_2(A)) ) ) )).
fof(fc6_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) & ~ v1_xreal_0(A) & v1_xxreal_0(B) & v3_xxreal_0(B) & ~ v1_xreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(A,B)) & ~ v1_xreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc6_yellow10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v2_waybel_1(k3_yellow_3(A,B)) ) ) )).
fof(fc6_yellow11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_orders_2(k5_yellow_0(A,k3_yellow11(A,B,C))) & v4_yellow_0(k5_yellow_0(A,k3_yellow11(A,B,C)),A) & v5_yellow_0(k5_yellow_0(A,k3_yellow11(A,B,C)),A) ) ) )).
fof(fc6_yellow14,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v7_pre_topc(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k3_waybel18(A,k7_funcop_1(A,B))) & v2_pre_topc(k3_waybel18(A,k7_funcop_1(A,B))) & v7_pre_topc(k3_waybel18(A,k7_funcop_1(A,B))) ) ) )).
fof(fc6_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v3_waybel_7(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ( ~ v2_struct_0(k3_yellow19(A,k2_struct_0(A),B)) & v6_waybel_0(k3_yellow19(A,k2_struct_0(A),B),A) & v1_yellow19(k3_yellow19(A,k2_struct_0(A),B),A) ) ) )).
fof(fc6_yellow21,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_wellord1(B) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & v5_yellow21(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_orders_2(g1_orders_2(A,B)) & v2_waybel_8(g1_orders_2(A,B)) & v3_lattice3(g1_orders_2(A,B)) & v16_waybel_0(g1_orders_2(A,B)) & v3_waybel_3(g1_orders_2(A,B)) ) ) )).
fof(fc6_yellow_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k1_yellow_1(A)) & v1_orders_2(k1_yellow_1(A)) ) ) )).
fof(fc6_yellow_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k7_waybel_0(A))) & v3_lattice3(k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc6_yellow_3,axiom,( ! [A] : ! [B] : ( ( v4_orders_2(A) & l1_orders_2(A) & v4_orders_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v4_orders_2(k3_yellow_3(A,B)) ) ) )).
fof(fc6_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_waybel_0(k3_yellow_4(A,B,C),A) ) )).
fof(fc6_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v13_waybel_0(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc6_yellow_7,axiom,( ! [A] : ( ( v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v2_lattice3(k7_lattice3(A)) ) ) )).
fof(fc6_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) & v7_waybel_0(k5_yellow_0(A,B)) ) ) )).
fof(fc6_zf_lang,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zf_lang) & v1_zf_lang(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_zf_lang(k7_zf_lang(A,B)) ) )).
fof(fc6_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v3_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) & v10_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) ) ) )).
fof(fc6_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v13_algstr_0(k31_zmodul02(A)) & v2_rlvect_1(k31_zmodul02(A)) & v3_rlvect_1(k31_zmodul02(A)) & v4_rlvect_1(k31_zmodul02(A)) & v2_zmodul01(k31_zmodul02(A)) & v3_zmodul01(k31_zmodul02(A)) & v4_zmodul01(k31_zmodul02(A)) & v5_zmodul01(k31_zmodul02(A)) ) ) )).
fof(fc6_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul01(k3_zmodul01(A)) & v3_zmodul03(k3_zmodul01(A)) ) ) )).
fof(fc6_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_zmodul02(C,A) ) => ( v1_relat_1(k3_relat_1(k19_finseq_1(B),C)) & v5_relat_1(k3_relat_1(k19_finseq_1(B),C),k4_numbers) & v1_finseq_1(k3_relat_1(k19_finseq_1(B),C)) ) ) )).
fof(fc6_zmodul06,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k6_zmodul01(A,C,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B)))) & v1_zmodul03(k6_zmodul01(A,C,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B)))) ) ) )).
fof(fc70_fomodel0,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(A) & v4_funct_1(B) ) => v4_funct_1(k2_xboole_0(A,B)) ) )).
fof(fc70_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k30_fomodel4(A),A) ) )).
fof(fc70_member_1,axiom,( ! [A] : ! [B] : ( ( v6_membered(A) & v7_ordinal1(B) ) => v6_membered(k17_member_1(A,B)) ) )).
fof(fc70_partfun3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k1_partfun3(A)) & v1_funct_1(k1_partfun3(A)) & v3_valued_0(k1_partfun3(A)) ) ) )).
fof(fc70_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & v4_pcs_0(B) & l2_pcs_0(B) ) => v4_pcs_0(k22_pcs_0(A,B)) ) )).
fof(fc70_valued_0,axiom,( ! [A] : ! [B] : ( v1_rat_1(B) => v5_relat_1(k2_funcop_1(A,B),k3_numbers) ) )).
fof(fc70_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k39_valued_1(A)) & v1_funct_1(k39_valued_1(A)) & v1_valued_0(k39_valued_1(A)) ) ) )).
fof(fc71_fomodel0,axiom,( ! [A] : ( ( v4_funct_1(A) & v1_finset_1(A) & v5_finset_1(A) ) => v1_finset_1(k21_fomodel0(A)) ) )).
fof(fc71_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k31_fomodel4(A),A) ) )).
fof(fc71_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xxreal_0(B) ) => v1_xboole_0(k18_member_1(A,B)) ) )).
fof(fc71_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v4_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_partfun3(B)) & v1_funct_1(k1_partfun3(B)) & v4_partfun3(k1_partfun3(B)) ) ) )).
fof(fc71_pcs_0,axiom,( ! [A] : ! [B] : ( ( v4_pcs_0(A) & l2_pcs_0(A) & l2_pcs_0(B) ) => v4_pcs_0(k22_pcs_0(A,B)) ) )).
fof(fc71_valued_0,axiom,( ! [A] : ! [B] : ( v1_int_1(B) => v5_relat_1(k2_funcop_1(A,B),k4_numbers) ) )).
fof(fc71_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k39_valued_1(A)) & v1_funct_1(k39_valued_1(A)) & v3_valued_0(k39_valued_1(A)) ) ) )).
fof(fc72_fomodel0,axiom,( ! [A] : ( ( v1_finset_1(A) & v3_finseq_1(A) ) => v1_finset_1(k21_fomodel0(A)) ) )).
fof(fc72_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k32_fomodel4(A),A) ) )).
fof(fc72_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_0(B) ) => ~ v1_xboole_0(k18_member_1(A,B)) ) )).
fof(fc72_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & v1_partfun3(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_relat_1(k1_partfun3(B)) & v1_funct_1(k1_partfun3(B)) & v1_partfun3(k1_partfun3(B)) ) ) )).
fof(fc72_pcs_0,axiom,( ! [A] : ! [B] : ( ( v6_pcs_0(A) & l2_pcs_0(A) & v6_pcs_0(B) & l2_pcs_0(B) ) => v6_pcs_0(k22_pcs_0(A,B)) ) )).
fof(fc72_valued_0,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => v4_valued_0(k2_funcop_1(A,B)) ) )).
fof(fc72_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) ) => ( v1_relat_1(k39_valued_1(A)) & v5_relat_1(k39_valued_1(A),k3_numbers) & v1_funct_1(k39_valued_1(A)) ) ) )).
fof(fc73_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_xboole_0(k5_xboole_0(k21_fomodel0(k1_tarski(A)),k10_xtuple_0(A))) ) )).
fof(fc73_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k33_fomodel4(A),A) ) )).
fof(fc73_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v2_glib_003(A) ) => ( v1_relat_1(k12_glib_003(A,B,C)) & v4_relat_1(k12_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k12_glib_003(A,B,C)) & v1_finset_1(k12_glib_003(A,B,C)) & v1_glib_000(k12_glib_003(A,B,C)) & v1_glib_003(k12_glib_003(A,B,C)) & v2_glib_003(k12_glib_003(A,B,C)) ) ) )).
fof(fc73_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v1_xxreal_0(B) ) => v2_membered(k18_member_1(A,B)) ) )).
fof(fc73_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & v1_valued_0(k1_funct_4(A,B)) ) ) )).
fof(fc73_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) ) => ( v1_relat_1(k39_valued_1(A)) & v5_relat_1(k39_valued_1(A),k4_numbers) & v1_funct_1(k39_valued_1(A)) ) ) )).
fof(fc74_fomodel0,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) ) => ( v1_xxreal_0(k9_complex1(A)) & v2_xxreal_0(k9_complex1(A)) ) ) )).
fof(fc74_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k34_fomodel4(A),A) ) )).
fof(fc74_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v3_glib_003(A) ) => ( v1_relat_1(k12_glib_003(A,B,C)) & v4_relat_1(k12_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k12_glib_003(A,B,C)) & v1_finset_1(k12_glib_003(A,B,C)) & v1_glib_000(k12_glib_003(A,B,C)) & v2_glib_003(k12_glib_003(A,B,C)) & v3_glib_003(k12_glib_003(A,B,C)) ) ) )).
fof(fc74_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xcmplx_0(B) ) => v1_xboole_0(k19_member_1(A,B)) ) )).
fof(fc74_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & l2_pcs_0(B) ) => v12_pcs_0(k23_pcs_0(A,B)) ) )).
fof(fc74_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & v2_valued_0(k1_funct_4(A,B)) ) ) )).
fof(fc74_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) ) => ( v1_relat_1(k39_valued_1(A)) & v1_funct_1(k39_valued_1(A)) & v4_valued_0(k39_valued_1(A)) ) ) )).
fof(fc75_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_setfam_1(A))) => v1_xboole_0(k4_xboole_0(k5_setfam_1(A,B),A)) ) )).
fof(fc75_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k35_fomodel4(A),A) ) )).
fof(fc75_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_xcmplx_0(B) ) => ~ v1_xboole_0(k19_member_1(A,B)) ) )).
fof(fc75_pcs_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_pcs_0(A) & ~ v2_struct_0(B) & l2_pcs_0(B) ) => ~ v2_struct_0(k23_pcs_0(A,B)) ) )).
fof(fc75_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & v3_valued_0(k1_funct_4(A,B)) ) ) )).
fof(fc75_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k39_valued_1(C)) & v1_partfun1(k39_valued_1(C),A) ) ) )).
fof(fc76_fomodel0,axiom,( ! [A] : ! [B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k6_subset_1(A,B),k3_xboole_0(A,B)),A)) )).
fof(fc76_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v16_fomodel4(B,A) & m1_subset_1(B,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) => v15_fomodel4(k1_tarski(B),A) ) )).
fof(fc76_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_xcmplx_0(B) ) => v1_membered(k19_member_1(A,B)) ) )).
fof(fc76_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v5_relat_1(k1_funct_4(A,B),k3_numbers) & v1_funct_1(k1_funct_4(A,B)) ) ) )).
fof(fc76_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k39_valued_1(C)) & v1_partfun1(k39_valued_1(C),A) ) ) )).
fof(fc77_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),k3_xboole_0(A,k2_xboole_0(B,C)))) )).
fof(fc77_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v15_fomodel4(k39_fomodel4(A),A) ) )).
fof(fc77_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v9_glib_003(A) & v1_xreal_0(C) ) => ( v1_relat_1(k12_glib_003(A,B,C)) & v4_relat_1(k12_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k12_glib_003(A,B,C)) & v1_finset_1(k12_glib_003(A,B,C)) & v1_glib_000(k12_glib_003(A,B,C)) & v2_glib_003(k12_glib_003(A,B,C)) & v9_glib_003(k12_glib_003(A,B,C)) ) ) )).
fof(fc77_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => v3_membered(k19_member_1(A,B)) ) )).
fof(fc77_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v5_relat_1(k1_funct_4(A,B),k4_numbers) & v1_funct_1(k1_funct_4(A,B)) ) ) )).
fof(fc77_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k39_valued_1(C)) & v1_partfun1(k39_valued_1(C),A) ) ) )).
fof(fc78_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : v1_xboole_0(k5_xboole_0(k7_subset_1(A,k6_subset_1(A,B),C),k6_subset_1(A,k2_xboole_0(B,C)))) )).
fof(fc78_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v6_fomodel4(k36_fomodel4(A),A) ) )).
fof(fc78_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v3_glib_003(A) & v10_glib_003(A) ) => ( v1_relat_1(k12_glib_003(A,B,C)) & v4_relat_1(k12_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k12_glib_003(A,B,C)) & v1_finset_1(k12_glib_003(A,B,C)) & v1_glib_000(k12_glib_003(A,B,C)) & v2_glib_003(k12_glib_003(A,B,C)) & v10_glib_003(k12_glib_003(A,B,C)) ) ) )).
fof(fc78_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v1_rat_1(B) ) => v4_membered(k19_member_1(A,B)) ) )).
fof(fc78_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v4_valued_0(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) & v4_valued_0(k1_funct_4(A,B)) ) ) )).
fof(fc78_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k39_valued_1(C)) & v1_partfun1(k39_valued_1(C),A) ) ) )).
fof(fc79_fomodel0,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(A) & v4_funct_1(B) ) => v1_xboole_0(k5_xboole_0(k2_xboole_0(k21_fomodel0(A),k21_fomodel0(B)),k21_fomodel0(k2_xboole_0(A,B)))) ) )).
fof(fc79_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => v5_fomodel4(k13_fomodel0(1,k4_tarski(B,C)),1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k36_fomodel4(A)),k1_tarski(k4_tarski(B,k35_fomodel2(A,k35_fomodel2(A,C))))) ) )).
fof(fc79_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v3_glib_003(A) ) => ( v1_relat_1(k13_glib_003(A,B,C)) & v4_relat_1(k13_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k13_glib_003(A,B,C)) & v1_finset_1(k13_glib_003(A,B,C)) & v1_glib_000(k13_glib_003(A,B,C)) & v2_glib_000(k13_glib_003(A,B,C)) & v3_glib_003(k13_glib_003(A,B,C)) ) ) )).
fof(fc79_member_1,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v1_int_1(B) ) => v5_membered(k19_member_1(A,B)) ) )).
fof(fc79_valued_0,axiom,( ! [A] : ! [B] : ( v1_xcmplx_0(B) => v1_valued_0(k17_funcop_1(A,B)) ) )).
fof(fc79_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v6_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k39_valued_1(C)) & v1_partfun1(k39_valued_1(C),A) ) ) )).
fof(fc7_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_abcmiz_0(A)) ) => ~ v1_xboole_0(k7_abcmiz_0(A,B,C)) ) )).
fof(fc7_abcmiz_1,axiom,( ~ v1_xboole_0(k18_abcmiz_1) )).
fof(fc7_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => v5_abcmiz_a(k15_abcmiz_1(A),A) ) )).
fof(fc7_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) ) => v1_abian(k3_xcmplx_0(B,A)) ) )).
fof(fc7_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( v1_relat_1(k1_ordinal4(B,C)) & v5_relat_1(k1_ordinal4(B,C),A) & v5_ordinal1(k1_ordinal4(B,C)) & v1_funct_1(k1_ordinal4(B,C)) ) ) )).
fof(fc7_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( v7_struct_0(g2_algstr_0(A,B,C)) & v8_algstr_0(g2_algstr_0(A,B,C)) ) ) )).
fof(fc7_algstr_1,axiom,( v29_algstr_0(k2_algstr_1) & v4_vectsp_1(k2_algstr_1) )).
fof(fc7_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(B) ) => ( v1_partfun1(k6_algstr_4(A,B),u1_struct_0(A)) & v3_relat_2(k6_algstr_4(A,B)) & v8_relat_2(k6_algstr_4(A,B)) & v1_algstr_4(k6_algstr_4(A,B),A) ) ) )).
fof(fc7_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k4_altcat_4(A)) & v2_altcat_1(k4_altcat_4(A)) & v6_altcat_1(k4_altcat_4(A)) & v3_altcat_2(k4_altcat_4(A),A) ) ) )).
fof(fc7_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_ami_3,k2_ami_3(A,B))) ) )).
fof(fc7_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & v3_extpro_1(k4_amistd_1(A),A) ) ) )).
fof(fc7_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ( v1_extpro_1(k4_amistd_1(A),A) & v4_amistd_2(k4_amistd_1(A),A) ) ) )).
fof(fc7_amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & v5_amistd_5(B,A) & v6_amistd_5(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & ~ v1_xboole_0(D) & v1_finset_1(D) & v4_extpro_1(D,A,B,C) & v5_extpro_1(D,A,B,C) & v7_ordinal1(E) ) => ( v1_relat_1(k9_memstr_0(A,B,D,E)) & v4_relat_1(k9_memstr_0(A,B,D,E),u1_struct_0(B)) & v1_funct_1(k9_memstr_0(A,B,D,E)) & v5_funct_1(k9_memstr_0(A,B,D,E),k2_memstr_0(A,B)) & v5_extpro_1(k9_memstr_0(A,B,D,E),A,B,k6_compos_1(B,C,E)) ) ) )).
fof(fc7_aofa_000,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_freealg(A) ) => ( ~ v2_struct_0(k7_freealg(k19_aofa_000,A)) & v1_unialg_1(k7_freealg(k19_aofa_000,A)) & v2_unialg_1(k7_freealg(k19_aofa_000,A)) & v3_unialg_1(k7_freealg(k19_aofa_000,A)) & v4_unialg_1(k7_freealg(k19_aofa_000,A)) & v3_aofa_000(k7_freealg(k19_aofa_000,A)) & v4_aofa_000(k7_freealg(k19_aofa_000,A)) & v5_aofa_000(k7_freealg(k19_aofa_000,A)) & v6_aofa_000(k7_freealg(k19_aofa_000,A)) ) ) )).
fof(fc7_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u4_struct_0(A),k3_msafree4(k3_finseq_2(u1_struct_0(A)),u4_struct_0(A),u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),B)),k3_msafree4(u1_struct_0(A),u4_struct_0(A),u2_msualg_1(A),B)) & m2_aofa_a00(D,u1_struct_0(A),u1_struct_0(A),B,B) ) => ( v4_msualg_1(g1_aofa_a00(A,B,C,D),A) & v1_aofa_a00(g1_aofa_a00(A,B,C,D),A) ) ) )).
fof(fc7_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & l3_msualg_1(D,A) & v19_aofa_a00(E,A) & m1_subset_1(E,u1_struct_0(A)) & m2_pboole(F,u1_struct_0(A),k1_aofa_a01(A,B,C),u3_msualg_1(A,D)) & m1_subset_1(G,k1_funct_1(u3_msualg_1(A,C),E)) ) => v1_int_1(k14_aofa_a00(A,B,C,D,E,G,F)) ) )).
fof(fc7_aofa_l00,axiom,( ! [A] : ! [B] : ( v1_relat_1(k7_funct_3(A,k1_tarski(B))) & v1_funct_1(k7_funct_3(A,k1_tarski(B))) & v2_funct_1(k7_funct_3(A,k1_tarski(B))) ) )).
fof(fc7_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k6_bagorder(A),k15_pre_poly(A)) & v1_relat_2(k6_bagorder(A)) & v4_relat_2(k6_bagorder(A)) & v8_relat_2(k6_bagorder(A)) & v2_bagorder(k6_bagorder(A),A) ) ) )).
fof(fc7_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_normsp_1(A,B,C)) & v1_funct_2(k1_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(k1_normsp_1(A,B,C),A) ) ) )).
fof(fc7_binop_2,axiom,( v1_funct_1(k20_binop_2) & v1_funct_2(k20_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_binop_1(k20_binop_2,k4_numbers) & v2_binop_1(k20_binop_2,k4_numbers) )).
fof(fc7_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ~ v1_xboole_0(k10_borsuk_1(A)) ) )).
fof(fc7_borsuk_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & v8_pre_topc(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k2_borsuk_1(A,B)) & v2_pre_topc(k2_borsuk_1(A,B)) & v8_pre_topc(k2_borsuk_1(A,B)) ) ) )).
fof(fc7_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k6_xcmplx_0(A,B)) ) )).
fof(fc7_borsuk_6,axiom,( v1_funct_1(k5_borsuk_6) & v1_funct_2(k5_borsuk_6,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & v5_pre_topc(k5_borsuk_6,k5_topmetr,k5_topmetr) )).
fof(fc7_borsuk_7,axiom,( v1_funct_1(k11_borsuk_7) & v1_funct_2(k11_borsuk_7,u1_struct_0(k3_topmetr),u1_struct_0(k8_toprealb(3))) & v5_pre_topc(k11_borsuk_7,k3_topmetr,k8_toprealb(3)) )).
fof(fc7_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v3_lopban_1(k11_c0sp1(A)) ) )).
fof(fc7_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => v1_group_1(k5_c0sp2(A)) ) )).
fof(fc7_card_1,axiom,( v2_card_1(k4_ordinal1) )).
fof(fc7_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v2_card_3(k1_tarski(A)) ) )).
fof(fc7_card_5,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( ~ v1_finset_1(k2_card_1(A)) & v1_card_1(k2_card_1(A)) ) ) )).
fof(fc7_cat_7,axiom,( ! [A] : ( ( v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => v1_xboole_0(k5_cat_7(A)) ) )).
fof(fc7_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_catalg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc7_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v3_membered(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_topmetr(g1_cayldick(A,C,B,D,E,F,G,H)) & v1_cayldick(g1_cayldick(A,C,B,D,E,F,G,H)) ) ) )).
fof(fc7_cayley,axiom,( v7_struct_0(k2_cayley(k1_xboole_0)) & v15_algstr_0(k2_cayley(k1_xboole_0)) & v1_monoid_0(k2_cayley(k1_xboole_0)) )).
fof(fc7_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v3_clopban1(k7_cc0sp1(A)) ) )).
fof(fc7_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => v1_group_1(k5_cc0sp2(A)) ) )).
fof(fc7_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v2_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k45_valued_1(A,B)) & v1_partfun1(k45_valued_1(A,B),k2_numbers) & v2_cfdiff_1(k45_valued_1(A,B)) ) ) )).
fof(fc7_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_cfuncdom(A)) & v1_cfuncdom(k8_cfuncdom(A)) ) ) )).
fof(fc7_cgames_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_cgames_1(A) & m1_subset_1(B,k9_xtuple_0(A)) ) => v2_cgames_1(k1_funct_1(A,B)) ) )).
fof(fc7_circcmb3,axiom,( ~ v1_facirc_1(k4_ordinal1) )).
fof(fc7_circcomb,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( ~ v2_struct_0(k2_circcomb(B,A)) & ~ v11_struct_0(k2_circcomb(B,A)) & v1_msualg_1(k2_circcomb(B,A)) ) ) )).
fof(fc7_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_msaterm(C,A,B) & v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ( v3_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) & v4_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) & v4_msafree2(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) ) ) )).
fof(fc7_classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ~ v1_xboole_0(k16_classes2(A)) & v1_classes2(k16_classes2(A)) ) ) )).
fof(fc7_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ~ v1_xboole_0(k8_clopban1(A,B)) ) )).
fof(fc7_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v9_closure1(B,A) & l1_closure1(B,A) ) => v4_mssubfam(u1_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc7_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v12_closure2(B,A) & l1_closure2(B,A) ) => v1_closure2(u1_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc7_coh_sp,axiom,( ! [A] : ~ v1_xboole_0(k14_coh_sp(A)) )).
fof(fc7_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v9_cohsp_1(A) ) => v2_finsub_1(k9_xtuple_0(A)) ) )).
fof(fc7_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => v7_ordinal1(k4_xtuple_0(B)) ) )).
fof(fc7_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) ) => ( ~ v1_xboole_0(k7_compos_1(A,B,C)) & v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) ) ) )).
fof(fc7_compos_2,axiom,( ! [A] : ! [B] : ( ( v1_amistd_4(A) & l1_compos_1(A) & v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => v2_compos_1(k3_afinsq_1(B),A) ) )).
fof(fc7_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(k2_comput_1(A)) & v4_funct_1(k2_comput_1(A)) ) )).
fof(fc7_comseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k45_valued_1(A,B)) & v1_funct_2(k45_valued_1(A,B),k4_ordinal1,k2_numbers) & v2_comseq_2(k45_valued_1(A,B)) ) ) )).
fof(fc7_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k54_valued_1(A)) & v1_funct_2(k54_valued_1(A),k4_ordinal1,k1_numbers) & v1_series_1(k54_valued_1(A)) ) ) )).
fof(fc7_convfun1,axiom,( ~ v2_struct_0(k4_convfun1) & v13_algstr_0(k4_convfun1) & v2_rlvect_1(k4_convfun1) & v3_rlvect_1(k4_convfun1) & v4_rlvect_1(k4_convfun1) & v5_rlvect_1(k4_convfun1) & v6_rlvect_1(k4_convfun1) & v7_rlvect_1(k4_convfun1) & v8_rlvect_1(k4_convfun1) )).
fof(fc7_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( v13_algstr_0(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v2_rlvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v3_rlvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v4_rlvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v1_clvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v2_clvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v3_clvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v4_clvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) & v5_clvect_1(g1_clvect_1(k4_csspace4(A,B),k8_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k6_csspace(k3_clopban1(A,B),k4_csspace4(A,B)),k7_csspace(k3_clopban1(A,B),k4_csspace4(A,B)))) ) ) )).
fof(fc7_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k1_xboole_0) & v1_funct_1(A) & v1_partfun1(A,k1_xboole_0) & v1_yellow_1(A) ) => ( v1_orders_2(k4_yellow_1(k1_xboole_0,A)) & v5_orders_2(k4_yellow_1(k1_xboole_0,A)) ) ) )).
fof(fc7_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => v2_dilworth(k5_dilworth(A),A) ) )).
fof(fc7_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v13_algstr_0(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v1_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v2_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v3_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v4_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v5_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v6_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v7_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) & v8_rlvect_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A)))) ) ) )).
fof(fc7_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_monoid_0(k15_euclid(A)) & v5_rltopsp1(k15_euclid(A)) ) ) )).
fof(fc7_euclid_7,axiom,( v1_xboole_0(k8_euclid_7(k5_numbers)) )).
fof(fc7_euclid_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k39_valued_1(B)) & v1_funct_1(k39_valued_1(B)) & v3_card_1(k39_valued_1(B),A) ) ) )).
fof(fc7_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => v4_relat_1(k9_funct_7(B,C,D),A) ) )).
fof(fc7_facirc_1,axiom,( ! [A] : ! [B] : ( ~ v1_facirc_1(A) => ~ v1_facirc_1(k3_xboole_0(B,A)) ) )).
fof(fc7_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v1_fcont_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k3_relat_1(A,B)) & v1_fcont_1(k3_relat_1(A,B)) ) ) )).
fof(fc7_fib_num2,axiom,( ! [A] : ! [B] : ( v1_setfam_1(A) => v1_setfam_1(k3_xboole_0(B,A)) ) )).
fof(fc7_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v19_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v18_lattices(k3_filter_2(A,B),k1_lattice2(A)) ) )).
fof(fc7_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( v5_relat_1(k6_finance2(A),k12_prob_1) & v1_funct_1(k6_finance2(A)) & v1_funct_2(k6_finance2(A),k4_ordinal1,k9_setfam_1(k1_numbers)) ) ) )).
fof(fc7_finseq_1,axiom,( ! [A] : v1_finseq_1(k5_finseq_1(A)) )).
fof(fc7_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_relat_1(k2_finseq_2(A,k5_numbers)) & v3_relat_1(k2_finseq_2(A,k5_numbers)) & v1_funct_1(k2_finseq_2(A,k5_numbers)) & v1_finseq_1(k2_finseq_2(A,k5_numbers)) ) ) )).
fof(fc7_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k13_finseq_1(A)) & v7_ordinal1(C) ) => ( v1_relat_1(k7_partfun1(k13_finseq_1(A),B,C)) & v1_funct_1(k7_partfun1(k13_finseq_1(A),B,C)) ) ) )).
fof(fc7_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k3_finseq_5(A)) & v1_xboole_0(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) ) ) )).
fof(fc7_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : v1_finset_1(k5_enumset1(A,B,C,D,E,F,G)) )).
fof(fc7_fomodel0,axiom,( ! [A] : ! [B] : ( v8_ordinal1(B) => v2_setfam_1(k4_finseq_2(B,A)) ) )).
fof(fc7_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => v8_ordinal1(k19_fomodel1(A,B)) ) )).
fof(fc7_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => ( v1_relat_1(k3_relat_1(D,C)) & v1_finseq_1(k3_relat_1(D,C)) ) ) )).
fof(fc7_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_relat_1(k5_fomodel3(A,B)) & v1_funct_1(k5_fomodel3(A,B)) & v1_fomodel2(k5_fomodel3(A,B),A,k35_fomodel1(A)) ) ) )).
fof(fc7_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v2_fomodel4(k3_xboole_0(k1_xboole_0,A),A) ) )).
fof(fc7_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ( ~ v1_xboole_0(k12_fsm_1(A,B,C)) & v1_finset_1(k12_fsm_1(A,B,C)) ) ) )).
fof(fc7_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => ( ~ v2_struct_0(g1_rewrite3(B,u1_struct_0(C),u1_rewrite3(B,C))) & v1_rewrite3(g1_rewrite3(B,u1_struct_0(C),u1_rewrite3(B,C)),B) ) ) )).
fof(fc7_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(C) & v1_funct_1(C) ) => ( v1_relat_1(k5_funcop_1(A,B,C)) & v1_funct_1(k5_funcop_1(A,B,C)) ) ) )).
fof(fc7_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_group_1(k12_funcsdom(A)) & v1_funcsdom(k12_funcsdom(A)) ) ) )).
fof(fc7_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v2_funct_1(k3_relat_1(A,B)) ) ) )).
fof(fc7_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k3_relat_1(B,C)) & v1_funct_2(k3_relat_1(B,C),A,A) & v3_funct_2(k3_relat_1(B,C),A,A) ) ) )).
fof(fc7_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) ) => ( v1_relat_1(k1_funct_4(B,C)) & v4_relat_1(k1_funct_4(B,C),A) & v1_funct_1(k1_funct_4(B,C)) ) ) )).
fof(fc7_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v1_finseq_1(k1_funct_7(A,B,C)) ) ) )).
fof(fc7_funct_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_funct_9(A) & v1_xreal_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v2_funct_9(k24_valued_1(A,B)) ) ) )).
fof(fc7_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_altcat_1(A) & l1_altcat_1(B) & l2_functor0(C,A,B) ) => v1_funcop_1(u2_functor0(A,B,C)) ) )).
fof(fc7_gate_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k4_gate_1(A,B)) ) )).
fof(fc7_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ( v1_xcmplx_0(k4_xcmplx_0(A)) & v1_gaussint(k4_xcmplx_0(A)) ) ) )).
fof(fc7_glib_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( v1_relat_1(k12_glib_000(A,B,C,D)) & v4_relat_1(k12_glib_000(A,B,C,D),k4_ordinal1) & v1_funct_1(k12_glib_000(A,B,C,D)) & v1_finset_1(k12_glib_000(A,B,C,D)) & v1_glib_000(k12_glib_000(A,B,C,D)) & v7_glib_000(k12_glib_000(A,B,C,D)) ) ) )).
fof(fc7_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_001(B,A) & m3_glib_001(B,A) ) => v4_glib_001(k6_glib_001(A,B),A) ) )).
fof(fc7_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k2_zfmisc_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)))) ) => v1_finset_1(k2_xtuple_0(B)) ) )).
fof(fc7_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v15_algstr_0(k6_group_2(A)) & v1_gr_cy_1(k6_group_2(A)) ) ) )).
fof(fc7_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xboole_0(C) ) => v1_xboole_0(k4_graph_3(A,B,C)) ) )).
fof(fc7_group_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & v1_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k3_relat_1(D,E)) & v1_funct_2(k3_relat_1(D,E),u1_struct_0(A),u1_struct_0(C)) & v1_group_6(k3_relat_1(D,E),A,C) ) ) )).
fof(fc7_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => v4_relat_1(k5_finseq_1(A),k1_tarski(1)) ) )).
fof(fc7_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k3_hahnban1(A,B,C,D)) & v1_funct_2(k3_hahnban1(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(k3_hahnban1(A,B,C,D),A,B) ) ) )).
fof(fc7_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v1_hahnban1(B,k1_complfld,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k1_comseq_2(B)) & v1_funct_2(k1_comseq_2(B),u1_struct_0(A),u1_struct_0(k1_complfld)) & v1_hermitan(k1_comseq_2(B),A) ) ) )).
fof(fc7_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ v1_xboole_0(k4_heyting3(1,A)) ) )).
fof(fc7_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k1_hilbert1) & m1_subset_1(C,k1_hilbert1) ) => v4_funct_1(k3_hilbert3(A,k3_hilbert1(B,C))) ) )).
fof(fc7_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_xboole_0(k3_xboole_0(k4_hilbert4(A),k3_hilbert4(A))) ) )).
fof(fc7_hurwitz2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v3_hurwitz2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v3_hurwitz2(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_normsp_1(A,B,C)) & v1_funct_2(k1_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v3_hurwitz2(k1_normsp_1(A,B,C),A) ) ) )).
fof(fc7_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) ) => ( v1_relat_1(k4_index_1(B)) & v2_relat_1(k4_index_1(B)) & v1_funct_1(k4_index_1(B)) & v1_partfun1(k4_index_1(B),A) ) ) )).
fof(fc7_int_1,axiom,( ! [A] : ( v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A,1)) ) )).
fof(fc7_int_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ~ v6_struct_0(k9_int_3(A)) & v13_algstr_0(k9_int_3(A)) & v33_algstr_0(k9_int_3(A)) & v3_group_1(k9_int_3(A)) & v5_group_1(k9_int_3(A)) & v2_rlvect_1(k9_int_3(A)) & v3_rlvect_1(k9_int_3(A)) & v4_rlvect_1(k9_int_3(A)) & v4_vectsp_1(k9_int_3(A)) & v5_vectsp_1(k9_int_3(A)) ) ) )).
fof(fc7_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_xcmplx_0(k19_rvsum_1(A)) & v1_int_1(k19_rvsum_1(A)) ) ) )).
fof(fc7_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ~ v1_xboole_0(k18_interva1(A)) ) )).
fof(fc7_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => v10_intpro_1(k13_intpro_1(A)) ) )).
fof(fc7_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v6_tops_1(k1_isomichi(A,B),A) ) )).
fof(fc7_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2),k10_pscomp_1(A),k11_pscomp_1(A))) ) )).
fof(fc7_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v4_pre_topc(k5_topreal1(A),k15_euclid(2)) ) )).
fof(fc7_jordan23,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_jordan23(B) & m1_finseq_1(B,A) & m1_subset_1(C,A) ) => v1_jordan23(k1_finseq_6(A,B,C)) ) )).
fof(fc7_jordan2c,axiom,( ! [A] : ( ( v4_pre_topc(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v3_pre_topc(k2_jordan2c(2,A),k15_euclid(2)) ) )).
fof(fc7_kurato_1,axiom,( v3_setfam_1(k2_kurato_1(k3_topmetr,k6_kurato_1),u1_struct_0(k3_topmetr)) )).
fof(fc7_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v1_orders_2(k7_lattad_1(A)) & v3_orders_2(k7_lattad_1(A)) & v4_orders_2(k7_lattad_1(A)) ) ) )).
fof(fc7_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & l1_lattices(A) ) => ( v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc7_lattice3,axiom,( ! [A] : ( v3_lattices(k1_lattice3(A)) & v4_lattice3(k1_lattice3(A)) ) )).
fof(fc7_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v2_lexbfs(k26_lexbfs(A)) ) )).
fof(fc7_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ~ v1_xboole_0(k10_lopban_1(A,B)) ) )).
fof(fc7_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(k8_lopclset(A)) & v1_funct_2(k8_lopclset(A),u1_struct_0(A),u1_struct_0(k12_lopclset(A))) & v3_funct_2(k8_lopclset(A),u1_struct_0(A),u1_struct_0(k12_lopclset(A))) ) ) )).
fof(fc7_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v1_xboole_0(k15_lpspacc1(A,B,C)) & v1_ideal_1(k15_lpspacc1(A,B,C),k14_lpspacc1(A,B,C)) & v1_lpspacc1(k15_lpspacc1(A,B,C),k14_lpspacc1(A,B,C)) ) ) )).
fof(fc7_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v13_algstr_0(k10_lpspace2(A,B,C,D)) & v1_rlvect_1(k10_lpspace2(A,B,C,D)) & v2_rlvect_1(k10_lpspace2(A,B,C,D)) & v3_rlvect_1(k10_lpspace2(A,B,C,D)) & v4_rlvect_1(k10_lpspace2(A,B,C,D)) & v5_rlvect_1(k10_lpspace2(A,B,C,D)) & v6_rlvect_1(k10_lpspace2(A,B,C,D)) & v7_rlvect_1(k10_lpspace2(A,B,C,D)) & v8_rlvect_1(k10_lpspace2(A,B,C,D)) ) ) )).
fof(fc7_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( ~ v1_xboole_0(k1_funct_1(k6_ltlaxio3,A)) & v1_finset_1(k1_funct_1(k6_ltlaxio3,A)) ) ) )).
fof(fc7_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ( ~ v1_xboole_0(k10_xtuple_0(B)) & v1_finset_1(k10_xtuple_0(B)) ) ) )).
fof(fc7_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) & m1_subset_1(D,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,B,D))),A) ) )).
fof(fc7_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_margrel1(A) ) => v2_card_3(k9_xtuple_0(A)) ) )).
fof(fc7_matrtop1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k1_finseq_3(A,B)) & v1_funct_1(k1_finseq_3(A,B)) & v1_finseq_1(k1_finseq_3(A,B)) & v3_valued_0(k1_finseq_3(A,B)) ) ) )).
fof(fc7_matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k2_tops_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),B)) & v1_funct_2(k2_tops_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),B),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k2_tops_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),B),A) ) ) )).
fof(fc7_member_1,axiom,( ! [A] : ( v3_membered(A) => ( v1_membered(k5_member_1(A)) & v3_membered(k5_member_1(A)) ) ) )).
fof(fc7_membered,axiom,( ! [A] : ( v1_xcmplx_0(A) => v1_membered(k1_tarski(A)) ) )).
fof(fc7_mesfunc7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_valued_0(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v2_valued_0(k7_finseq_1(A,B)) ) ) )).
fof(fc7_metrizts,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( v1_funct_1(k6_weierstr(A,B)) & v1_funct_2(k6_weierstr(A,B),u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k6_weierstr(A,B),k3_pcomps_1(A),k3_topmetr) ) ) )).
fof(fc7_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & ~ v3_mfold_0(A) & l1_pre_topc(A) ) => ~ v1_xboole_0(k2_mfold_0(A)) ) )).
fof(fc7_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_pre_topc(k4_mfold_2(A)) & v3_mfold_1(k4_mfold_2(A),A) ) ) )).
fof(fc7_mod_2,axiom,( v13_algstr_0(k18_mod_2) & v33_algstr_0(k18_mod_2) & v36_algstr_0(k18_mod_2) & v4_vectsp_1(k18_mod_2) & v5_vectsp_1(k18_mod_2) & v12_vectsp_1(k18_mod_2) & v2_rlvect_1(k18_mod_2) & v3_rlvect_1(k18_mod_2) & v4_rlvect_1(k18_mod_2) & v3_group_1(k18_mod_2) & v5_group_1(k18_mod_2) )).
fof(fc7_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k2_mod_4(A)) & v4_rlvect_1(k2_mod_4(A)) ) ) )).
fof(fc7_modelc_2,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => v1_modelc_2(k8_modelc_2(A,B)) ) )).
fof(fc7_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v8_ordinal1(k6_moebius1(A)) ) )).
fof(fc7_moebius2,axiom,( v1_funct_1(k2_moebius2) & v1_funct_2(k2_moebius2,k4_ordinal1,k1_numbers) & v2_comseq_2(k2_moebius2) )).
fof(fc7_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k7_msafree(A,B,C)) ) )).
fof(fc7_msafree1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ~ v1_xboole_0(k4_msualg_1(A,B,C)) ) )).
fof(fc7_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => ( v1_relat_1(k2_funct_6(D)) & v2_relat_1(k2_funct_6(D)) & v1_funct_1(k2_funct_6(D)) ) ) )).
fof(fc7_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_funct_7(A,C,B)) & v1_funct_1(k1_funct_7(A,C,B)) & v1_funcop_1(k1_funct_7(A,C,B)) ) ) )).
fof(fc7_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) => ( v1_relat_1(k3_pboole(A,B,C)) & v4_relat_1(k3_pboole(A,B,C),A) & v1_funct_1(k3_pboole(A,B,C)) & v1_partfun1(k3_pboole(A,B,C),A) & v2_finset_1(k3_pboole(A,B,C)) ) ) )).
fof(fc7_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) ) => ~ v1_xboole_0(k5_msualg_2(A,B,C)) ) )).
fof(fc7_mycielsk,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_mycielsk(A) & l1_orders_2(A) ) => ( v7_ordinal1(k3_mycielsk(A)) & v2_xxreal_0(k3_mycielsk(A)) ) ) )).
fof(fc7_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_ordinal1(C) ) => ( v1_relat_1(k6_nat_1(B,C)) & v4_relat_1(k6_nat_1(B,C),k4_ordinal1) & v5_relat_1(k6_nat_1(B,C),A) & v1_funct_1(k6_nat_1(B,C)) & v1_partfun1(k6_nat_1(B,C),k4_ordinal1) ) ) )).
fof(fc7_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) & v7_ordinal1(C) ) => ( v1_relat_1(k4_nat_3(A,B,C)) & v4_relat_1(k4_nat_3(A,B,C),A) & v1_funct_1(k4_nat_3(A,B,C)) & v1_partfun1(k4_nat_3(A,B,C),A) & v2_pre_poly(k4_nat_3(A,B,C)) ) ) )).
fof(fc7_nat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_nat_6(C,B) ) => v1_nat_6(k1_newton(A,C),k1_newton(A,B)) ) )).
fof(fc7_nat_lat,axiom,( v3_lattices(k10_nat_lat) & v4_lattices(k10_nat_lat) & v5_lattices(k10_nat_lat) & v6_lattices(k10_nat_lat) & v7_lattices(k10_nat_lat) & v8_lattices(k10_nat_lat) & v9_lattices(k10_nat_lat) )).
fof(fc7_neckla_3,axiom,( ! [A] : ! [B] : ( ( v1_necklace(A) & l1_orders_2(A) & v1_necklace(B) & l1_orders_2(B) ) => ( v1_orders_2(k1_neckla_2(A,B)) & v1_necklace(k1_neckla_2(A,B)) ) ) )).
fof(fc7_necklace,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k4_necklace(A)) & v1_orders_2(k4_necklace(A)) ) ) )).
fof(fc7_newton,axiom,( ! [A] : ( v7_ordinal1(A) => v7_ordinal1(k2_newton(A)) ) )).
fof(fc7_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v2_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_funct_1(C) & v2_nfcont_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k1_vfunct_1(k1_numbers,A,B,C)) & v2_nfcont_3(k1_vfunct_1(k1_numbers,A,B,C),A) ) ) )).
fof(fc7_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v2_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_funct_1(C) & v2_nfcont_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_funct_1(k8_integr15(A,k1_numbers,B,C)) & v2_nfcont_4(k8_integr15(A,k1_numbers,B,C),A) ) ) )).
fof(fc7_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k4_normsp_2(A)) & v4_frechet(k4_normsp_2(A)) & v5_rltopsp1(k4_normsp_2(A)) ) ) )).
fof(fc7_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v2_nfcont_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_nfcont_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_nfcont_1(k3_xboole_0(B,C),A) ) )).
fof(fc7_numbers,axiom,( ~ v1_finset_1(k3_numbers) )).
fof(fc7_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_xreal_0(k1_numpoly1(A)) & ~ v3_xxreal_0(k1_numpoly1(A)) ) ) )).
fof(fc7_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(k8_openlatt(A)) & v1_funct_2(k8_openlatt(A),u1_struct_0(A),u1_struct_0(k15_openlatt(A))) & v3_funct_2(k8_openlatt(A),u1_struct_0(A),u1_struct_0(k15_openlatt(A))) ) ) )).
fof(fc7_oposet_1,axiom,( v1_necklace(k1_oposet_1) & v3_qmax_1(k1_oposet_1) )).
fof(fc7_orders_2,axiom,( ! [A] : ! [B] : ( ( v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_orders_2(g1_orders_2(A,B)) & v4_orders_2(g1_orders_2(A,B)) ) ) )).
fof(fc7_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ( v6_altcat_1(k4_orders_3(A)) & v11_altcat_1(k4_orders_3(A)) & v12_altcat_1(k4_orders_3(A)) ) ) )).
fof(fc7_ordinal1,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => v7_ordinal1(k1_ordinal1(A)) ) )).
fof(fc7_ordinal5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( v3_ordinal1(k1_ordinal5(A,B)) & v7_ordinal1(k1_ordinal5(A,B)) ) ) )).
fof(fc7_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(A)) & v5_ordinal1(k4_relat_1(A)) & v1_ordinal2(k4_relat_1(A)) & v3_ordinal2(k4_relat_1(A)) ) ) )).
fof(fc7_osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v2_msualg_4(k20_osafree(A,B),A,k8_osafree(A,B)) & v3_osalg_4(k20_osafree(A,B),A,k8_osafree(A,B)) ) ) )).
fof(fc7_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ~ v1_xboole_0(k12_osalg_2(A,B)) ) )).
fof(fc7_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => v1_partfun3(k2_funcop_1(A,B)) ) )).
fof(fc7_partfun4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_pscomp_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_xreal_0(C) ) => ( v1_funct_1(k24_valued_1(B,C)) & v1_funct_2(k24_valued_1(B,C),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k24_valued_1(B,C),A) ) ) )).
fof(fc7_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v1_relat_2(k3_pcs_0(A,A,B,B,C,D)) ) )).
fof(fc7_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k1_polyalg1(A)) & v4_vectsp_1(k1_polyalg1(A)) & v1_polyalg1(k1_polyalg1(A),A) ) ) )).
fof(fc7_polyeq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => v1_xreal_0(k4_polyeq_1(A,B,C,D,E)) ) )).
fof(fc7_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v2_rlvect_1(k12_polynom1(A,B)) ) ) )).
fof(fc7_polynom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_funct_1(k3_polynom2(A,B,C)) & v1_funct_2(k3_polynom2(A,B,C),u1_struct_0(k12_polynom1(A,B)),u1_struct_0(B)) & v1_ringcat1(k3_polynom2(A,B,C),k12_polynom1(A,B),B) ) ) )).
fof(fc7_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ( v1_funct_1(k10_polynom3(A)) & v1_funct_2(k10_polynom3(A),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k10_polynom3(A),A) ) ) )).
fof(fc7_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) ) => v3_msualg_1(k14_pralg_2(A,B,C),B) ) )).
fof(fc7_pre_poly,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v1_pre_poly(k2_finseq_2(A,B)) ) ) )).
fof(fc7_pre_topc,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) & v1_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) ) ) )).
fof(fc7_prefer_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ( v3_prefer_1(k3_prefer_1(A)) & ~ v4_prefer_1(k3_prefer_1(A)) ) ) )).
fof(fc7_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v2_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & v2_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc7_pscomp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k15_pscomp_1(A)) & v2_compts_1(k15_pscomp_1(A),k15_euclid(2)) ) ) )).
fof(fc7_qc_lang1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_qc_lang1(B) ) => ~ v1_xboole_0(k8_qc_lang1(B,A)) ) )).
fof(fc7_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => v1_xreal_0(k12_quaterni(A)) ) )).
fof(fc7_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k19_quofield(A)) & v4_vectsp_1(k19_quofield(A)) ) ) )).
fof(fc7_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( v7_ordinal1(k1_rat_1(A)) & v2_xxreal_0(k1_rat_1(A)) ) ) )).
fof(fc7_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( v1_funct_1(k3_hurwitz(A,B,C)) & v1_funct_2(k3_hurwitz(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k3_hurwitz(A,B,C),A) & ~ v1_ratfunc1(k3_hurwitz(A,B,C),A) ) ) )).
fof(fc7_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ v3_xxreal_2(k1_limfunc1(A)) & v4_xxreal_2(k1_limfunc1(A)) & v6_xxreal_2(k1_limfunc1(A)) ) ) )).
fof(fc7_real_3,axiom,( v8_ordinal1(k1_int_1(k5_numbers)) & v1_int_1(k1_int_1(k5_numbers)) )).
fof(fc7_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k7_real_ns1(A)) & v1_bhsp_1(k7_real_ns1(A)) & v3_bhsp_3(k7_real_ns1(A)) ) ) )).
fof(fc7_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : v1_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) )).
fof(fc7_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_2(A) & v1_relat_1(B) & v2_relat_2(B) ) => v2_relat_2(k3_xboole_0(A,B)) ) )).
fof(fc7_reloc,axiom,( v1_extpro_1(k1_ami_3,k5_card_1(2)) & v5_amistd_5(k1_ami_3,k5_card_1(2)) & v6_amistd_5(k1_ami_3,k5_card_1(2)) )).
fof(fc7_relset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_xboole_0(k4_relat_1(A)) & v1_relat_1(k4_relat_1(A)) ) ) )).
fof(fc7_revrot_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m1_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => v1_sprect_2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,A)) ) )).
fof(fc7_rewrite2,axiom,( ! [A] : ( v1_relat_1(A) => v3_relat_2(k2_xboole_0(A,k2_relat_1(A))) ) )).
fof(fc7_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_seq_2(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_funct_1(k5_relat_1(A,B)) & v3_valued_0(k5_relat_1(A,B)) & v2_seq_2(k5_relat_1(A,B)) ) ) )).
fof(fc7_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => v6_cat_1(k17_ringcat1(A)) ) )).
fof(fc7_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_rlaffin1(k1_tarski(B),A) ) )).
fof(fc7_rlaffin3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( v1_convex1(k3_convex1(k15_euclid(A),B),k15_euclid(A)) & v4_pre_topc(k3_convex1(k15_euclid(A),B),k15_euclid(A)) ) ) )).
fof(fc7_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v3_pre_topc(k5_rusub_4(A,B,C),A) ) )).
fof(fc7_robbins4,axiom,( v13_lattices(k2_robbins4) & v4_robbins1(k2_robbins4) )).
fof(fc7_roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v4_roughs_1(k3_roughs_1(A,B),A) ) )).
fof(fc7_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_funct_1(k7_roughs_2(A)) & v1_funct_2(k7_roughs_2(A),k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & v8_roughs_2(k7_roughs_2(A),A) ) ) )).
fof(fc7_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v13_algstr_0(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v1_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v2_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v3_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v4_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v5_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v6_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v7_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) & v8_rlvect_1(g1_rlvect_1(k4_rsspace4(A,B),k7_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k5_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)),k6_rsspace(k5_lopban_1(A,B),k4_rsspace4(A,B)))) ) ) )).
fof(fc7_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v3_valued_0(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) ) ) )).
fof(fc7_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => v1_finset_1(k3_rvsum_3(A)) ) )).
fof(fc7_scm_halt,axiom,( ! [A] : ! [B] : ( ( v1_scmfsa6c(A) & v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(B) & v2_scm_halt(B) ) => ( ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) & v1_scm_halt(k3_scmfsa6a(A,B)) & v2_scm_halt(k3_scmfsa6a(A,B)) ) ) )).
fof(fc7_scm_inst,axiom,( ~ v1_xboole_0(k3_scm_inst) & v5_compos_0(k3_scm_inst) )).
fof(fc7_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(A,B))) ) )).
fof(fc7_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( v1_relat_1(k3_scmfsa6a(A,B)) & v4_relat_1(k3_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k3_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k3_scmfsa6a(A,B)) & v1_funct_1(k3_scmfsa6a(A,B)) & v1_finset_1(k3_scmfsa6a(A,B)) & v1_afinsq_1(k3_scmfsa6a(A,B)) & v3_compos_1(k3_scmfsa6a(A,B),k1_scmfsa_2) & v4_compos_1(k3_scmfsa6a(A,B),k1_scmfsa_2) ) ) )).
fof(fc7_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_scmfsa6c(k8_scmfsa_2(A,B)) ) )).
fof(fc7_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ~ v1_xboole_0(k3_scmfsa8b(A,B,C,D)) & v1_relat_1(k3_scmfsa8b(A,B,C,D)) & v4_relat_1(k3_scmfsa8b(A,B,C,D),k4_ordinal1) & v5_relat_1(k3_scmfsa8b(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa8b(A,B,C,D)) & v1_finset_1(k3_scmfsa8b(A,B,C,D)) & v1_afinsq_1(k3_scmfsa8b(A,B,C,D)) & v5_amistd_1(k3_scmfsa8b(A,B,C,D),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc7_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v2_extpro_1(k7_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc7_scmfsa_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(C) ) => v4_compos_0(k15_scmfsa_2(B,A,C),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc7_scmfsa_m,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_int_1(C) ) => ( v1_relat_1(k1_funct_7(A,B,C)) & v1_funct_1(k1_funct_7(A,B,C)) & v5_funct_1(k1_funct_7(A,B,C),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) ) )).
fof(fc7_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v4_scmpds_4(k15_scmpds_2(A,B,C,D)) ) )).
fof(fc7_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v6_compos_0(k10_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc7_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k5_scmpds_6(B,C,A)) & v4_relat_1(k5_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k5_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k5_scmpds_6(B,C,A)) & v1_funct_1(k5_scmpds_6(B,C,A)) & v1_finset_1(k5_scmpds_6(B,C,A)) & v1_afinsq_1(k5_scmpds_6(B,C,A)) & v2_scmpds_4(k5_scmpds_6(B,C,A)) & v3_scmpds_4(k5_scmpds_6(B,C,A)) ) ) )).
fof(fc7_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k6_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc7_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k3_scmring2(A,B,C))) ) )).
fof(fc7_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ( ~ v1_xboole_0(k1_scmringi(A)) & v5_compos_0(k1_scmringi(A)) ) ) )).
fof(fc7_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_scmyciel(B,A) ) => v3_scmyciel(k3_xboole_0(B,C),A) ) )).
fof(fc7_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) ) => v1_setfam_1(k4_enumset1(A,B,C,D,E,F)) ) )).
fof(fc7_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_subset_1(B,k4_ordinal1) ) => v1_sfmastr1(k12_scmfsa_2(B,A)) ) )).
fof(fc7_simplex0,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_setfam_1(k1_simplex0(A)) & v1_classes1(k1_simplex0(A)) ) ) )).
fof(fc7_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v6_simplex0(B,u1_struct_0(A)) & v1_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ~ v3_pencil_1(k5_simplex1(C,A,B)) & v1_matroid0(k5_simplex1(C,A,B)) & v3_matroid0(k5_simplex1(C,A,B)) & v1_simplex1(k5_simplex1(C,A,B),A) ) ) )).
fof(fc7_sin_cos,axiom,( v1_funct_1(k18_sin_cos) & v1_funct_2(k18_sin_cos,k1_numbers,k1_numbers) & v1_fcont_1(k18_sin_cos) )).
fof(fc7_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(fc7_sin_cos9,axiom,( v1_relat_1(k5_relat_1(k26_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)))) & v2_funct_1(k5_relat_1(k26_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(fc7_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k7_sincos10(A)) ) )).
fof(fc7_sppol_2,axiom,( v1_topreal1(k6_finseq_1(u1_struct_0(k15_euclid(2)))) )).
fof(fc7_sprect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v2_compts_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_pscomp_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => v3_xxreal_2(k7_relat_1(C,B)) ) )).
fof(fc7_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_stacks_1(A)) & ~ v11_struct_0(k8_stacks_1(A)) & v1_stacks_1(k8_stacks_1(A)) & v5_stacks_1(k8_stacks_1(A)) ) ) )).
fof(fc7_struct_0,axiom,( ! [A] : ( ( v7_struct_0(A) & l1_struct_0(A) ) => v1_zfmisc_1(u1_struct_0(A)) ) )).
fof(fc7_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ~ v1_xboole_0(k6_enumset1(A,B,C,D,E,F,G,H)) )).
fof(fc7_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ~ v1_xboole_0(k38_substut1(A)) ) )).
fof(fc7_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k1_tops_1(A,B)) ) )).
fof(fc7_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) ) => ( v1_funct_1(k6_topalg_1(A,B,C,D)) & v2_funct_1(k6_topalg_1(A,B,C,D)) & v1_funct_2(k6_topalg_1(A,B,C,D),u1_struct_0(k5_topalg_1(A,C)),u1_struct_0(k5_topalg_1(A,B))) & v2_funct_2(k6_topalg_1(A,B,C,D),u1_struct_0(k5_topalg_1(A,B))) ) ) )).
fof(fc7_topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & v5_pre_topc(D,k2_borsuk_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( v1_funct_1(k4_topalg_5(A,B,C,D,E)) & v1_funct_2(k4_topalg_5(A,B,C,D,E),u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(k4_topalg_5(A,B,C,D,E),B,C) ) ) )).
fof(fc7_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ~ v1_xboole_0(k1_topalg_6(A)) ) )).
fof(fc7_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( ~ v2_struct_0(k5_topgrp_1(A)) & v15_algstr_0(k5_topgrp_1(A)) ) ) )).
fof(fc7_topreal1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v1_xboole_0(k7_topreal1(A)) ) )).
fof(fc7_topreal6,axiom,( v2_pre_topc(k3_topmetr) & v8_pre_topc(k3_topmetr) )).
fof(fc7_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v4_pre_topc(k3_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc7_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k3_xxreal_1(k6_xcmplx_0(A,B),A)) ) )).
fof(fc7_toprealb,axiom,( v1_funct_1(k3_sin_cos6) & v1_fcont_1(k3_sin_cos6) )).
fof(fc7_tops_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k2_xboole_0(B,C),A) ) )).
fof(fc7_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v1_finset_1(k1_trees_1(A)) ) )).
fof(fc7_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v5_trees_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v5_trees_3(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v5_trees_3(k7_finseq_1(A,B)) ) ) )).
fof(fc7_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ~ v1_xboole_0(k6_trees_9(A)) ) )).
fof(fc7_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_valued_0(B) ) => v1_valued_0(k2_xboole_0(A,B)) ) )).
fof(fc7_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & ~ v1_xboole_0(C) & v1_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k1_valued_1(D,E)) & v1_partfun1(k1_valued_1(D,E),A) ) ) )).
fof(fc7_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v15_algstr_0(k5_vectmetr(A)) & v2_group_1(k5_vectmetr(A)) & v3_group_1(k5_vectmetr(A)) ) ) )).
fof(fc7_vectsp_1,axiom,( v36_algstr_0(k2_vectsp_1) & v1_group_1(k2_vectsp_1) )).
fof(fc7_waybel10,axiom,( ! [A] : ( l1_orders_2(A) => ( ~ v2_struct_0(k3_waybel10(A)) & v1_orders_2(k3_waybel10(A)) & v3_lattice3(k3_waybel10(A)) ) ) )).
fof(fc7_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(k3_waybel11(A,B,C)) & v3_orders_2(k3_waybel11(A,B,C)) & v6_waybel_0(k3_waybel11(A,B,C),A) ) ) )).
fof(fc7_waybel17,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v6_waybel_0(k4_waybel17(A,B),A) & v8_waybel_0(k4_waybel17(A,B),A) ) ) )).
fof(fc7_waybel18,axiom,( v1_pre_topc(k9_waybel18) & v2_waybel18(k9_waybel18) )).
fof(fc7_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v2_waybel23(k1_waybel_3(A,B),A) ) )).
fof(fc7_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) ) => ( v1_monoid_0(k3_waybel24(A,B)) & v1_orders_2(k3_waybel24(A,B)) ) ) )).
fof(fc7_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => ( v4_orders_2(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc7_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_waybel18(A) & l1_pre_topc(A) ) => ( v1_waybel_9(k1_waybel25(A)) & v4_waybel11(k1_waybel25(A)) ) ) )).
fof(fc7_waybel30,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) & v3_waybel11(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_waybel11(k4_waybel_0(A,B),A) ) )).
fof(fc7_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) & v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ) )).
fof(fc7_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v1_xboole_0(k4_waybel_0(A,B)) ) )).
fof(fc7_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k3_waybel_1(A,B,C)) & v2_funct_1(k3_waybel_1(A,B,C)) & v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k1_yellow_2(A,B,C)),u1_struct_0(B)) & v5_orders_3(k3_waybel_1(A,B,C),k1_yellow_2(A,B,C),B) ) ) )).
fof(fc7_waybel_2,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k4_waybel_2(A)) & v1_funct_2(k4_waybel_2(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & v5_orders_3(k4_waybel_2(A),k3_yellow_3(A,A),A) ) ) )).
fof(fc7_waybel_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) ) => ( ~ v2_struct_0(k4_yellow_1(A,B)) & v1_orders_2(k4_yellow_1(A,B)) ) ) )).
fof(fc7_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => v5_waybel_4(k4_waybel_4(A),A) ) )).
fof(fc7_waybel_8,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v5_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc7_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & v4_orders_2(C) & l1_waybel_0(C,A) ) => ( v4_orders_2(k3_waybel_2(A,B,C)) & v6_waybel_0(k3_waybel_2(A,B,C),A) ) ) )).
fof(fc7_wellord2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_relat_1(k1_wellord2(A)) & ~ v1_xboole_0(k1_wellord2(A)) ) ) )).
fof(fc7_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k8_xboolean(A,B)) ) )).
fof(fc7_xcmplx_0,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) ) => ( ~ v8_ordinal1(k5_xcmplx_0(A)) & v1_xcmplx_0(k5_xcmplx_0(A)) ) ) )).
fof(fc7_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k6_xcmplx_0(A,B)) ) )).
fof(fc7_xtuple_0,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k12_xtuple_0(A)) ) )).
fof(fc7_xxreal_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => v7_ordinal1(k5_xxreal_0(A,B,C,D)) ) )).
fof(fc7_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => v1_xboole_0(k3_xxreal_1(A,A)) ) )).
fof(fc7_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v2_xxreal_2(A) ) => ( v1_xxreal_0(k1_xxreal_2(A)) & v1_xreal_0(k1_xxreal_2(A)) ) ) )).
fof(fc7_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) & ~ v1_xreal_0(A) & v1_xxreal_0(B) & v2_xxreal_0(B) & ~ v1_xreal_0(B) ) => ( v8_ordinal1(k1_xxreal_3(A,B)) & v1_xxreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc7_yellow10,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v2_waybel_2(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v1_waybel_2(k3_yellow_3(A,B)) ) ) )).
fof(fc7_yellow11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( v1_orders_2(k5_yellow_0(A,k3_yellow11(A,B,C))) & v4_yellow_0(k5_yellow_0(A,k3_yellow11(A,B,C)),A) & v6_yellow_0(k5_yellow_0(A,k3_yellow11(A,B,C)),A) ) ) )).
fof(fc7_yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k3_yellow18(k4_yellow18(A),B)) ) )).
fof(fc7_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( ~ v2_struct_0(k6_yellow21(A)) & v2_altcat_1(k6_yellow21(A)) & v6_altcat_1(k6_yellow21(A)) & v11_altcat_1(k6_yellow21(A)) & v12_altcat_1(k6_yellow21(A)) & v2_yellow21(k6_yellow21(A)) & v3_yellow21(k6_yellow21(A)) & v4_yellow21(k6_yellow21(A)) ) ) )).
fof(fc7_yellow_1,axiom,( ! [A] : ( ~ v2_struct_0(k2_yellow_1(A)) & v1_orders_2(k2_yellow_1(A)) & v3_orders_2(k2_yellow_1(A)) & v4_orders_2(k2_yellow_1(A)) & v5_orders_2(k2_yellow_1(A)) ) )).
fof(fc7_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v1_funct_1(k2_yellow_2(A)) & v1_funct_2(k2_yellow_2(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)) & v5_orders_3(k2_yellow_2(A),k1_yellow_1(k7_waybel_0(A)),A) ) ) )).
fof(fc7_yellow_3,axiom,( ! [A] : ! [B] : ( ( v1_lattice3(A) & l1_orders_2(A) & v1_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v1_lattice3(k3_yellow_3(A,B)) ) ) )).
fof(fc7_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel_0(k3_yellow_4(A,B,C),A) ) )).
fof(fc7_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v12_waybel_0(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc7_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v3_lattice3(k7_lattice3(A)) ) ) )).
fof(fc7_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k2_yellow_9(A,B)) & v6_waybel_0(k2_yellow_9(A,B),A) & v7_waybel_0(k2_yellow_9(A,B)) ) ) )).
fof(fc7_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ~ v1_zmodul02(k1_tarski(k4_struct_0(A)),A) ) )).
fof(fc7_zmodul03,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & v2_zmodul03(B) & l1_zmodul01(B) ) => ( ~ v2_struct_0(k12_zmodul02(A,B)) & v7_vectsp_1(k12_zmodul02(A,B),k9_int_3(A)) & v1_matrlin(k12_zmodul02(A,B),k9_int_3(A)) ) ) )).
fof(fc7_zmodul06,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & v3_zmodul03(C) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k6_zmodul01(A,C,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B)))) & v3_zmodul03(k6_zmodul01(A,C,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B)))) ) ) )).
fof(fc80_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => v5_relat_1(k1_funct_1(k9_fomodel0(A),B),A) ) )).
fof(fc80_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel2(C,A) & v13_fomodel2(C,B,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v4_fomodel2(k35_fomodel2(A,k35_fomodel2(A,C)),A) & v13_fomodel2(k35_fomodel2(A,k35_fomodel2(A,C)),B,A) ) ) )).
fof(fc80_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xxreal_0(B) ) => v1_xboole_0(k20_member_1(A,B)) ) )).
fof(fc80_valued_0,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => v2_valued_0(k17_funcop_1(A,B)) ) )).
fof(fc80_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ( v1_relat_1(k39_valued_1(A)) & v1_funct_1(k39_valued_1(A)) & v1_finseq_1(k39_valued_1(A)) ) ) )).
fof(fc81_fomodel0,axiom,( ! [A] : v1_setfam_1(k4_xboole_0(A,k1_tarski(k1_xboole_0))) )).
fof(fc81_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v6_fomodel4(B,A) & m1_subset_1(B,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) & v6_fomodel4(C,A) & m1_subset_1(C,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) => v7_fomodel4(k2_tarski(B,C),A) ) )).
fof(fc81_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_0(B) ) => ~ v1_xboole_0(k20_member_1(A,B)) ) )).
fof(fc81_valued_0,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => v3_valued_0(k17_funcop_1(A,B)) ) )).
fof(fc81_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k45_valued_1(A,B)) & v1_funct_1(k45_valued_1(A,B)) & v1_valued_0(k45_valued_1(A,B)) ) ) )).
fof(fc82_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_finset_1(k13_finseq_1(A)) ) )).
fof(fc82_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v6_fomodel4(B,A) & m1_subset_1(B,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) & v6_fomodel4(C,A) & m1_subset_1(C,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) & v6_fomodel4(D,A) & m1_subset_1(D,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) & v6_fomodel4(E,A) & m1_subset_1(E,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) ) => v7_fomodel4(k2_enumset1(B,C,D,E),A) ) )).
fof(fc82_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v1_xxreal_0(B) ) => v2_membered(k20_member_1(A,B)) ) )).
fof(fc82_valued_0,axiom,( ! [A] : ! [B] : ( v1_rat_1(B) => v5_relat_1(k17_funcop_1(A,B),k3_numbers) ) )).
fof(fc82_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_relat_1(k45_valued_1(A,B)) & v1_funct_1(k45_valued_1(A,B)) & v3_valued_0(k45_valued_1(A,B)) ) ) )).
fof(fc83_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_setfam_1(k13_finseq_1(A)) ) )).
fof(fc83_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v7_fomodel4(k39_fomodel4(A),A) ) )).
fof(fc83_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xcmplx_0(B) ) => v1_xboole_0(k21_member_1(A,B)) ) )).
fof(fc83_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & ~ v1_xboole_0(B) ) => ~ v2_struct_0(k26_pcs_0(A,B)) ) )).
fof(fc83_valued_0,axiom,( ! [A] : ! [B] : ( v1_int_1(B) => v5_relat_1(k17_funcop_1(A,B),k4_numbers) ) )).
fof(fc83_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k45_valued_1(A,B)) & v5_relat_1(k45_valued_1(A,B),k3_numbers) & v1_funct_1(k45_valued_1(A,B)) ) ) )).
fof(fc84_fomodel0,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => v1_xboole_0(k4_xboole_0(k4_finseq_2(B,A),k3_finseq_2(A))) ) )).
fof(fc84_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_funct_1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k40_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(B)))) ) => v1_xboole_0(k4_xboole_0(A,k45_fomodel4(A,B,C,D))) ) )).
fof(fc84_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_xcmplx_0(B) ) => ~ v1_xboole_0(k21_member_1(A,B)) ) )).
fof(fc84_valued_0,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => v4_valued_0(k17_funcop_1(A,B)) ) )).
fof(fc84_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k45_valued_1(A,B)) & v5_relat_1(k45_valued_1(A,B),k4_numbers) & v1_funct_1(k45_valued_1(A,B)) ) ) )).
fof(fc85_fomodel0,axiom,( ! [A] : ~ v1_xboole_0(k4_xboole_0(k9_setfam_1(A),A)) )).
fof(fc85_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D,k30_fomodel2(B)) ) => v1_xboole_0(k4_xboole_0(A,k47_fomodel4(A,B,C,D))) ) )).
fof(fc85_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_xcmplx_0(B) ) => v1_membered(k21_member_1(A,B)) ) )).
fof(fc85_valued_0,axiom,( ! [A] : ! [B] : ( v1_membered(B) => v1_valued_0(k2_zfmisc_1(A,B)) ) )).
fof(fc85_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & ~ v1_xboole_0(C) & v1_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k45_valued_1(D,E)) & v1_partfun1(k45_valued_1(D,E),A) ) ) )).
fof(fc86_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v1_relat_1(k13_fomodel0(A,B)) & v4_relat_1(k13_fomodel0(A,B),k2_xboole_0(A,k9_xtuple_0(B))) ) ) )).
fof(fc86_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => v1_xboole_0(k4_xboole_0(A,k49_fomodel4(A,B,C,D))) ) )).
fof(fc86_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => v3_membered(k21_member_1(A,B)) ) )).
fof(fc86_valued_0,axiom,( ! [A] : ! [B] : ( v2_membered(B) => v2_valued_0(k2_zfmisc_1(A,B)) ) )).
fof(fc86_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & ~ v1_xboole_0(C) & v3_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k45_valued_1(D,E)) & v1_partfun1(k45_valued_1(D,E),A) ) ) )).
fof(fc87_fomodel0,axiom,( ! [A] : ~ v1_finset_1(k23_fomodel0(A)) )).
fof(fc87_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_relat_1(k50_fomodel4(A)) & v1_funct_1(k50_fomodel4(A)) & v2_funct_1(k50_fomodel4(A)) ) ) )).
fof(fc87_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v3_glib_003(A) ) => ( v1_relat_1(k13_glib_003(A,B,C)) & v4_relat_1(k13_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k13_glib_003(A,B,C)) & v1_finset_1(k13_glib_003(A,B,C)) & v1_glib_000(k13_glib_003(A,B,C)) & v1_glib_003(k13_glib_003(A,B,C)) & v3_glib_003(k13_glib_003(A,B,C)) ) ) )).
fof(fc87_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v1_rat_1(B) ) => v4_membered(k21_member_1(A,B)) ) )).
fof(fc87_valued_0,axiom,( ! [A] : ! [B] : ( v3_membered(B) => v3_valued_0(k2_zfmisc_1(A,B)) ) )).
fof(fc87_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & ~ v1_xboole_0(C) & v4_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k45_valued_1(D,E)) & v1_partfun1(k45_valued_1(D,E),A) ) ) )).
fof(fc88_fomodel0,axiom,( ! [A] : v1_xboole_0(k3_xboole_0(k23_fomodel0(A),A)) )).
fof(fc88_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v3_glib_003(A) ) => ( v1_relat_1(k13_glib_003(A,B,C)) & v4_relat_1(k13_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k13_glib_003(A,B,C)) & v1_finset_1(k13_glib_003(A,B,C)) & v1_glib_000(k13_glib_003(A,B,C)) & v2_glib_003(k13_glib_003(A,B,C)) & v3_glib_003(k13_glib_003(A,B,C)) ) ) )).
fof(fc88_member_1,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v1_int_1(B) ) => v5_membered(k21_member_1(A,B)) ) )).
fof(fc88_valued_0,axiom,( ! [A] : ! [B] : ( v4_membered(B) => v5_relat_1(k2_zfmisc_1(A,B),k3_numbers) ) )).
fof(fc88_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v5_membered(B) & ~ v1_xboole_0(C) & v5_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k45_valued_1(D,E)) & v1_partfun1(k45_valued_1(D,E),A) ) ) )).
fof(fc89_fomodel0,axiom,( ! [A] : v4_card_3(k23_fomodel0(A)) )).
fof(fc89_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xxreal_0(B) ) => v1_xboole_0(k22_member_1(A,B)) ) )).
fof(fc89_valued_0,axiom,( ! [A] : ! [B] : ( v5_membered(B) => v5_relat_1(k2_zfmisc_1(A,B),k4_numbers) ) )).
fof(fc89_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k45_valued_1(A,B)) & v1_funct_1(k45_valued_1(A,B)) & v1_finseq_1(k45_valued_1(A,B)) ) ) )).
fof(fc8_abcmiz_1,axiom,( ~ v1_xboole_0(k19_abcmiz_1) )).
fof(fc8_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => v6_abcmiz_a(k16_abcmiz_1(A),A) ) )).
fof(fc8_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & ~ v1_abian(A) & v1_int_1(B) & ~ v1_abian(B) ) => ~ v1_abian(k3_xcmplx_0(A,B)) ) )).
fof(fc8_afinsq_1,axiom,( ! [A] : ( v1_relat_1(k3_afinsq_1(A)) & v1_funct_1(k3_afinsq_1(A)) ) )).
fof(fc8_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ( ~ v7_struct_0(g2_algstr_0(A,B,C)) & v8_algstr_0(g2_algstr_0(A,B,C)) ) ) )).
fof(fc8_algstr_1,axiom,( v29_algstr_0(k2_algstr_1) & v4_vectsp_1(k2_algstr_1) & v7_algstr_1(k2_algstr_1) )).
fof(fc8_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m1_algstr_4(B,A) ) => v2_algstr_4(u1_struct_0(B),A) ) )).
fof(fc8_altcat_2,axiom,( v2_struct_0(k5_altcat_2) & v6_altcat_1(k5_altcat_2) )).
fof(fc8_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ~ v2_struct_0(k5_altcat_4(A)) & v2_altcat_1(k5_altcat_4(A)) & v6_altcat_1(k5_altcat_4(A)) & v3_altcat_2(k5_altcat_4(A),A) ) ) )).
fof(fc8_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_ami_3,k3_ami_3(A,B))) ) )).
fof(fc8_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ( v1_relat_1(k4_compos_1(B)) & v4_relat_1(k4_compos_1(B),k4_ordinal1) & v5_relat_1(k4_compos_1(B),u1_compos_1(B)) & v1_funct_1(k4_compos_1(B)) & v1_finset_1(k4_compos_1(B)) & v5_amistd_1(k4_compos_1(B),A,B) ) ) )).
fof(fc8_amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_1(B,A) & v2_amistd_2(B,A) & v4_amistd_2(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,A,B) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,A,B) ) => ( v1_relat_1(k7_compos_1(B,C,D)) & v4_relat_1(k7_compos_1(B,C,D),k4_ordinal1) & v5_relat_1(k7_compos_1(B,C,D),u1_compos_1(B)) & v1_funct_1(k7_compos_1(B,C,D)) & v1_finset_1(k7_compos_1(B,C,D)) & v5_amistd_1(k7_compos_1(B,C,D),A,B) ) ) )).
fof(fc8_aofa_000,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_freealg(A) ) => ( ~ v2_struct_0(k7_freealg(k19_aofa_000,A)) & v1_unialg_1(k7_freealg(k19_aofa_000,A)) & v2_unialg_1(k7_freealg(k19_aofa_000,A)) & v3_unialg_1(k7_freealg(k19_aofa_000,A)) & v4_unialg_1(k7_freealg(k19_aofa_000,A)) & v9_aofa_000(k7_freealg(k19_aofa_000,A)) ) ) )).
fof(fc8_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => v1_funcop_1(u4_msualg_1(A,B)) ) )).
fof(fc8_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_aofa_a01(D,A,B,C) & l4_aofa_a00(D,A,B,C) & v4_msualg_1(E,A) & v4_msafree4(E,A,C) & v17_aofa_a00(E,A) & v20_aofa_a00(E,4,1,A) & l3_msualg_1(E,A) & m1_subset_1(F,k12_aofa_a00(A,C,E,u4_aofa_a00(A,B,C,D))) & m1_subset_1(G,k1_funct_1(u3_msualg_1(A,C),u8_aofa_a00(A))) ) => v1_xboolean(k14_aofa_a00(A,B,C,E,u8_aofa_a00(A),G,F)) ) )).
fof(fc8_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) & v1_relat_1(C) & ~ v3_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( v1_relat_1(k2_aofa_l00(C,u1_struct_0(B),D)) & ~ v3_relat_1(k2_aofa_l00(C,u1_struct_0(B),D)) & v4_relat_1(k2_aofa_l00(C,u1_struct_0(B),D),u1_struct_0(B)) & v1_funct_1(k2_aofa_l00(C,u1_struct_0(B),D)) & v1_partfun1(k2_aofa_l00(C,u1_struct_0(B),D),u1_struct_0(B)) ) ) )).
fof(fc8_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_partfun1(k7_bagorder(A),k15_pre_poly(A)) & v1_relat_2(k7_bagorder(A)) & v4_relat_2(k7_bagorder(A)) & v8_relat_2(k7_bagorder(A)) & v2_bagorder(k7_bagorder(A),A) ) ) )).
fof(fc8_binop_2,axiom,( v1_funct_1(k22_binop_2) & v1_funct_2(k22_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_binop_1(k22_binop_2,k4_numbers) & v2_binop_1(k22_binop_2,k4_numbers) )).
fof(fc8_borsuk_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k11_borsuk_1(A,B)) & v1_pre_topc(k11_borsuk_1(A,B)) & v2_pre_topc(k11_borsuk_1(A,B)) ) ) )).
fof(fc8_borsuk_2,axiom,( v8_pre_topc(k17_borsuk_1) & v1_compts_1(k17_borsuk_1) )).
fof(fc8_borsuk_5,axiom,( ! [A] : ! [B] : ( ( v1_rat_1(A) & v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k6_xcmplx_0(B,A)) ) )).
fof(fc8_borsuk_6,axiom,( ~ v1_xboole_0(k6_borsuk_6) & v4_pre_topc(k6_borsuk_6,k2_borsuk_1(k5_topmetr,k5_topmetr)) )).
fof(fc8_borsuk_7,axiom,( ! [A] : ( v1_int_1(A) => v3_topalg_6(k12_borsuk_7(A),k8_toprealb(3),k7_borsuk_7) ) )).
fof(fc8_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_vectsp_1(k11_c0sp1(A)) & v6_vectsp_1(k11_c0sp1(A)) & v2_lopban_2(k11_c0sp1(A)) & v3_lopban_2(k11_c0sp1(A)) & v4_lopban_2(k11_c0sp1(A)) ) ) )).
fof(fc8_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v13_algstr_0(k5_c0sp2(A)) & v2_rlvect_1(k5_c0sp2(A)) & v3_rlvect_1(k5_c0sp2(A)) & v4_rlvect_1(k5_c0sp2(A)) & v5_rlvect_1(k5_c0sp2(A)) & v6_rlvect_1(k5_c0sp2(A)) & v7_rlvect_1(k5_c0sp2(A)) & v1_vectsp_1(k5_c0sp2(A)) & v3_vectsp_1(k5_c0sp2(A)) & v3_group_1(k5_c0sp2(A)) & v5_group_1(k5_c0sp2(A)) & v2_funcsdom(k5_c0sp2(A)) ) ) )).
fof(fc8_card_1,axiom,( ! [A] : ( v1_finset_1(A) => ( v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) ) ) )).
fof(fc8_card_3,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k9_card_3(A)) ) )).
fof(fc8_card_5,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( ~ v1_finset_1(k1_card_5(A)) & v1_card_1(k1_card_5(A)) ) ) )).
fof(fc8_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ~ v1_xboole_0(k5_cat_7(A)) ) )).
fof(fc8_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v3_catalg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) ) ) )).
fof(fc8_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v2_binop_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_rlvect_1(g1_cayldick(A,C,B,D,E,F,G,H)) & v1_cayldick(g1_cayldick(A,C,B,D,E,F,G,H)) ) ) )).
fof(fc8_cayley,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k4_cayley(A)) & v1_funct_2(k4_cayley(A),u1_struct_0(A),u1_struct_0(k2_cayley(u1_struct_0(A)))) & v1_group_6(k4_cayley(A),A,k2_cayley(u1_struct_0(A))) ) ) )).
fof(fc8_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v13_algstr_0(k5_cc0sp2(A)) & v2_rlvect_1(k5_cc0sp2(A)) & v3_rlvect_1(k5_cc0sp2(A)) & v4_rlvect_1(k5_cc0sp2(A)) & v1_vectsp_1(k5_cc0sp2(A)) & v3_vectsp_1(k5_cc0sp2(A)) & v3_group_1(k5_cc0sp2(A)) & v5_group_1(k5_cc0sp2(A)) & v2_clvect_1(k5_cc0sp2(A)) & v3_clvect_1(k5_cc0sp2(A)) & v4_clvect_1(k5_cc0sp2(A)) & v2_cfuncdom(k5_cc0sp2(A)) ) ) )).
fof(fc8_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v2_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k18_valued_1(A,B)) & v1_partfun1(k18_valued_1(A,B),k2_numbers) & v2_cfdiff_1(k18_valued_1(A,B)) ) ) )).
fof(fc8_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_group_1(k8_cfuncdom(A)) & v1_cfuncdom(k8_cfuncdom(A)) ) ) )).
fof(fc8_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => v4_cgames_1(k5_finseq_1(A)) ) )).
fof(fc8_circcmb3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) ) => ( ~ v11_struct_0(k5_circcomb(B,A)) & v1_msualg_1(k5_circcomb(B,A)) & v6_circcmb3(k5_circcomb(B,A)) ) ) )).
fof(fc8_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ v2_struct_0(k4_circcomb(A,B,C)) & ~ v11_struct_0(k4_circcomb(A,B,C)) & v1_msualg_1(k4_circcomb(A,B,C)) ) ) )).
fof(fc8_circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_finseq_1(D,k1_msaterm(B,C)) ) => ( v1_relat_1(k4_trees_4(A,D)) & v1_funct_1(k4_trees_4(A,D)) & v1_finset_1(k4_trees_4(A,D)) & v3_trees_2(k4_trees_4(A,D)) ) ) )).
fof(fc8_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( v13_algstr_0(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v2_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v3_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v4_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v1_clvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v2_clvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v3_clvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v4_clvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) & v5_clvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) ) ) )).
fof(fc8_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v10_closure1(B,A) & l1_closure1(B,A) ) => v5_mssubfam(u1_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc8_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v13_closure2(B,A) & l1_closure2(B,A) ) => v2_closure2(u1_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc8_coh_sp,axiom,( ! [A] : ~ v1_xboole_0(k15_coh_sp(A)) )).
fof(fc8_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_relat_1(k5_cohsp_1(A)) ) )).
fof(fc8_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) ) => ~ v1_xboole_0(k4_compos_0(A)) ) )).
fof(fc8_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) & v1_afinsq_1(k7_compos_1(A,B,C)) ) ) )).
fof(fc8_comput_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_comput_1(B) & m1_finseq_1(B,k2_comput_1(A)) ) => ( v1_relat_1(k5_funct_6(B)) & v1_funct_1(k5_funct_6(B)) & v2_margrel1(k5_funct_6(B)) ) ) )).
fof(fc8_comseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k18_valued_1(A,B)) & v1_funct_2(k18_valued_1(A,B),k4_ordinal1,k2_numbers) & v2_comseq_2(k18_valued_1(A,B)) ) ) )).
fof(fc8_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k3_comseq_3(A)) & v1_funct_2(k3_comseq_3(A),k4_ordinal1,k1_numbers) & v1_series_1(k3_comseq_3(A)) ) ) )).
fof(fc8_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k5_csspace4(A,B)) & v13_algstr_0(k5_csspace4(A,B)) & v2_rlvect_1(k5_csspace4(A,B)) & v3_rlvect_1(k5_csspace4(A,B)) & v4_rlvect_1(k5_csspace4(A,B)) & v1_clvect_1(k5_csspace4(A,B)) & v2_clvect_1(k5_csspace4(A,B)) & v3_clvect_1(k5_csspace4(A,B)) & v4_clvect_1(k5_csspace4(A,B)) & v5_clvect_1(k5_csspace4(A,B)) ) ) )).
fof(fc8_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k1_xboole_0) & v1_funct_1(A) & v1_partfun1(A,k1_xboole_0) & v1_yellow_1(A) ) => ( v1_orders_2(k4_yellow_1(k1_xboole_0,A)) & v3_dickson(k4_yellow_1(k1_xboole_0,A)) ) ) )).
fof(fc8_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => v2_dilworth(k6_dilworth(A),A) ) )).
fof(fc8_dualsp01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & v1_dualsp01(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ~ v1_xboole_0(k15_dualsp01(A,B)) & v4_xxreal_2(k15_dualsp01(A,B)) ) ) )).
fof(fc8_euclid,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => v3_finseq_1(k4_finseq_2(A,B)) ) )).
fof(fc8_euclid_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v1_xboole_0(k8_euclid_7(A)) ) )).
fof(fc8_euclid_9,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k54_valued_1(B)) & v1_funct_1(k54_valued_1(B)) & v3_card_1(k54_valued_1(B),A) & v3_valued_0(k54_valued_1(B)) ) ) )).
fof(fc8_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => v5_relat_1(k9_funct_7(B,C,D),A) ) )).
fof(fc8_facirc_1,axiom,( ! [A] : ( v1_xtuple_0(A) => v1_relat_1(k1_tarski(A)) ) )).
fof(fc8_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v2_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k5_relat_1(A,B)) & v2_fcont_1(k5_relat_1(A,B)) ) ) )).
fof(fc8_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v18_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v19_lattices(k3_filter_2(A,B),k1_lattice2(A)) ) )).
fof(fc8_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( v1_funct_1(k6_finance2(A)) & v1_funct_2(k6_finance2(A),k4_ordinal1,k9_setfam_1(k1_numbers)) & v3_prob_1(k6_finance2(A)) ) ) )).
fof(fc8_finseq_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)) ) )).
fof(fc8_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k13_finseq_1(A)) & v7_ordinal1(C) ) => ( v1_relat_1(k7_partfun1(k13_finseq_1(A),B,C)) & v5_relat_1(k7_partfun1(k13_finseq_1(A),B,C),A) & v1_funct_1(k7_partfun1(k13_finseq_1(A),B,C)) & v1_finseq_1(k7_partfun1(k13_finseq_1(A),B,C)) ) ) )).
fof(fc8_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k3_finseq_5(A)) & v1_funct_1(k3_finseq_5(A)) & v2_funct_1(k3_finseq_5(A)) & v1_finseq_1(k3_finseq_5(A)) ) ) )).
fof(fc8_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : v1_finset_1(k6_enumset1(A,B,C,D,E,F,G,H)) )).
fof(fc8_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v1_xboole_0(k4_finseq_2(B,A)) ) )).
fof(fc8_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_xboole_0(k4_xboole_0(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) )).
fof(fc8_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) & v3_card_1(D,C) & v1_finseq_1(D) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => v3_card_1(k3_relat_1(D,E),C) ) )).
fof(fc8_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v7_ordinal1(D) & ~ v8_ordinal1(D) ) => v1_partfun1(k8_fomodel3(A,B,C,D),k4_finseq_2(D,A)) ) )).
fof(fc8_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v2_fomodel4(k13_fomodel0(A,k1_xboole_0),A) ) )).
fof(fc8_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & v8_struct_0(D) & l2_fsm_1(D,A,B) ) => ( ~ v2_struct_0(k13_fsm_1(A,B,C,D)) & v8_struct_0(k13_fsm_1(A,B,C,D)) & v2_fsm_1(k13_fsm_1(A,B,C,D),A,B) ) ) )).
fof(fc8_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => ( ~ v2_struct_0(g1_fsm_3(A,B,u1_struct_0(C),u1_rewrite3(B,C),u1_fsm_3(A,B,C))) & v1_fsm_3(g1_fsm_3(A,B,u1_struct_0(C),u1_rewrite3(B,C),u1_fsm_3(A,B,C)),A,B) ) ) )).
fof(fc8_funcop_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) ) ) )).
fof(fc8_funcsdom,axiom,( ! [A] : ( ~ v2_struct_0(k12_funcsdom(A)) & v1_funcsdom(k12_funcsdom(A)) ) )).
fof(fc8_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k5_relat_1(A,B)) & v1_funct_1(k5_relat_1(A,B)) ) ) )).
fof(fc8_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( v1_funct_1(k3_relat_1(D,E)) & v1_funct_2(k3_relat_1(D,E),A,C) ) ) )).
fof(fc8_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) ) => ( v1_relat_1(k1_funct_4(B,C)) & v4_relat_1(k1_funct_4(B,C),A) & v1_funct_1(k1_funct_4(B,C)) & v1_partfun1(k1_funct_4(B,C),A) ) ) )).
fof(fc8_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_funct_7(k5_finseq_1(A)) ) )).
fof(fc8_funct_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_funct_9(A) & v1_xreal_0(B) ) => ( v1_relat_1(k7_valued_1(A,B)) & v1_funct_1(k7_valued_1(A,B)) & v2_funct_9(k7_valued_1(A,B)) ) ) )).
fof(fc8_gate_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xboole_0(B) ) => v1_xboole_0(k4_gate_1(A,B)) ) )).
fof(fc8_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ( v1_xcmplx_0(k8_complex1(A)) & v1_gaussint(k8_complex1(A)) ) ) )).
fof(fc8_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v5_glib_001(B,A) & m3_glib_001(B,A) ) => v5_glib_001(k6_glib_001(A,B),A) ) )).
fof(fc8_gr_cy_1,axiom,( ~ v2_struct_0(k2_gr_cy_1) & v15_algstr_0(k2_gr_cy_1) & v1_gr_cy_1(k2_gr_cy_1) )).
fof(fc8_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_finset_1(k5_graph_3(A,B)) ) )).
fof(fc8_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(k3_struct_0(A),A,A) ) ) )).
fof(fc8_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) ) => ( v1_funct_1(k7_group_6(A,B)) & v1_funct_2(k7_group_6(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_group_6(k7_group_6(A,B),A,B) ) ) )).
fof(fc8_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v1_partfun1(k5_finseq_1(A),k1_tarski(1)) & v1_group_7(k5_finseq_1(A)) ) ) )).
fof(fc8_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v1_hermitan(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k1_comseq_2(B)) & v1_funct_2(k1_comseq_2(B),u1_struct_0(A),u1_struct_0(k1_complfld)) & v1_hahnban1(k1_comseq_2(B),k1_complfld,A) ) ) )).
fof(fc8_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_hilbert3(B,A) & m1_subset_1(C,k1_hilbert1) ) => ( v1_funct_1(k5_hilbert3(A,B,C)) & v1_funct_2(k5_hilbert3(A,B,C),k3_hilbert3(A,C),k3_hilbert3(A,C)) & v3_funct_2(k5_hilbert3(A,B,C),k3_hilbert3(A,C),k3_hilbert3(A,C)) ) ) )).
fof(fc8_hilbert4,axiom,( ! [A] : ( v1_relat_1(k5_hilbert4(A)) & v1_funct_1(k5_hilbert4(A)) ) )).
fof(fc8_hurwitz2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v4_hurwitz2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v4_hurwitz2(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_normsp_1(A,B,C)) & v1_funct_2(k1_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v4_hurwitz2(k1_normsp_1(A,B,C),A) ) ) )).
fof(fc8_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k10_ideal_1(A,B,C)) ) )).
fof(fc8_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) => ( v1_relat_1(k1_xtuple_0(C)) & v1_funct_1(k1_xtuple_0(C)) ) ) )).
fof(fc8_int_1,axiom,( ! [A] : ! [B] : ( ( v2_int_1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v7_ordinal1(k2_xcmplx_0(A,B)) ) )).
fof(fc8_int_3,axiom,( ~ v8_struct_0(k1_int_3) )).
fof(fc8_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ( v7_ordinal1(k19_rvsum_1(A)) & v1_xcmplx_0(k19_rvsum_1(A)) & v2_xxreal_0(k19_rvsum_1(A)) ) ) )).
fof(fc8_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k21_interva1(A)) & v3_lattices(k21_interva1(A)) ) ) )).
fof(fc8_intpro_1,axiom,( v10_intpro_1(k14_intpro_1) )).
fof(fc8_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k1_isomichi(A,k1_isomichi(A,B))) ) )).
fof(fc8_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2),k13_pscomp_1(A),k12_pscomp_1(A))) ) )).
fof(fc8_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v4_pre_topc(k7_topreal1(A),k15_euclid(2)) ) )).
fof(fc8_jordan23,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(B,A) & v2_jordan23(B) & m1_finseq_1(B,A) & m1_subset_1(C,A) ) => v2_jordan23(k1_finseq_6(A,B,C)) ) )).
fof(fc8_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v2_connsp_1(k2_jordan2c(2,A),k15_euclid(2)) ) )).
fof(fc8_kurato_1,axiom,( v1_setfam_1(k2_kurato_1(k3_topmetr,k6_kurato_1)) )).
fof(fc8_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v3_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) ) ) )).
fof(fc8_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k14_lattice3(A)) & v3_lattices(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)) & v4_lattice3(k14_lattice3(A)) ) ) )).
fof(fc8_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v3_lexbfs(k26_lexbfs(A)) ) )).
fof(fc8_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v13_algstr_0(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v1_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v2_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v3_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v4_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v5_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v6_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v7_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) & v8_rlvect_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) ) ) )).
fof(fc8_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ~ v2_struct_0(k14_lpspacc1(A,B,C)) & v2_rlvect_1(k14_lpspacc1(A,B,C)) & v3_rlvect_1(k14_lpspacc1(A,B,C)) & v4_rlvect_1(k14_lpspacc1(A,B,C)) & v1_clvect_1(k14_lpspacc1(A,B,C)) & v2_clvect_1(k14_lpspacc1(A,B,C)) & v3_clvect_1(k14_lpspacc1(A,B,C)) & v4_clvect_1(k14_lpspacc1(A,B,C)) & v5_clvect_1(k14_lpspacc1(A,B,C)) ) ) )).
fof(fc8_ltlaxio3,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => ( v1_finset_1(k7_ltlaxio3(A)) & v5_finset_1(k7_ltlaxio3(A)) ) ) )).
fof(fc8_ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_ltlaxio3(A) & v3_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) & m1_subset_1(C,k9_xtuple_0(B)) ) => ( ~ v2_ltlaxio3(k1_funct_1(B,C)) & v3_ltlaxio3(k1_funct_1(B,C)) ) ) )).
fof(fc8_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) & m1_subset_1(D,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,k8_cqc_lang(A,B,C),D),k8_cqc_lang(A,C,D)),A) ) )).
fof(fc8_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_margrel1(B,A) & m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) ) => v2_margrel1(k1_funct_1(B,C)) ) )).
fof(fc8_matrtop1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) & v1_valued_0(A) ) => ( v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)) & v1_valued_0(k15_finseq_1(A)) ) ) )).
fof(fc8_matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v2_matrtop3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v2_matrtop3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k3_relat_1(C,B)) & v1_funct_2(k3_relat_1(C,B),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v2_matrtop3(k3_relat_1(C,B),A) ) ) )).
fof(fc8_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(k3_struct_0(A),A,A) ) ) )).
fof(fc8_member_1,axiom,( ! [A] : ( v4_membered(A) => ( v1_membered(k5_member_1(A)) & v4_membered(k5_member_1(A)) ) ) )).
fof(fc8_membered,axiom,( ! [A] : ( v1_xxreal_0(A) => v2_membered(k1_tarski(A)) ) )).
fof(fc8_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( v1_relat_1(k6_memstr_0(A,B,C)) & v4_relat_1(k6_memstr_0(A,B,C),u1_struct_0(B)) & v1_funct_1(k6_memstr_0(A,B,C)) & v5_funct_1(k6_memstr_0(A,B,C),k2_memstr_0(A,B)) & v4_memstr_0(k6_memstr_0(A,B,C),A,B) ) ) )).
fof(fc8_metrizts,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_pre_topc(g1_pre_topc(u1_struct_0(k15_euclid(A)),u1_pre_topc(k15_euclid(A)))) & v5_waybel23(g1_pre_topc(u1_struct_0(k15_euclid(A)),u1_pre_topc(k15_euclid(A)))) ) ) )).
fof(fc8_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ( v1_pre_topc(k1_pre_topc(A,k1_mfold_0(A))) & v1_mfold_0(k1_pre_topc(A,k1_mfold_0(A))) ) ) )).
fof(fc8_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => v7_ordinal1(k6_mmlquer2(A,B)) ) )).
fof(fc8_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & l6_algstr_0(A) ) => ( v13_algstr_0(k2_mod_4(A)) & v36_algstr_0(k2_mod_4(A)) ) ) )).
fof(fc8_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ~ v1_xboole_0(u3_modelc_1(A)) ) )).
fof(fc8_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ~ v1_xboole_0(k13_modelc_2(A)) ) )).
fof(fc8_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v1_moebius1(k6_moebius1(A)) ) )).
fof(fc8_moebius2,axiom,( v1_funct_1(k1_moebius2) & v1_funct_2(k1_moebius2,k4_ordinal1,k1_numbers) & v4_partfun3(k1_moebius2) )).
fof(fc8_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(k8_msafree(A,B)) & v2_relat_1(k8_msafree(A,B)) & v4_relat_1(k8_msafree(A,B),u1_struct_0(A)) & v1_funct_1(k8_msafree(A,B)) & v1_partfun1(k8_msafree(A,B),u1_struct_0(A)) ) ) )).
fof(fc8_msafree1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v1_relat_1(u3_msualg_1(A,k11_msafree(A,B))) & v4_relat_1(u3_msualg_1(A,k11_msafree(A,B)),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,k11_msafree(A,B))) & v1_partfun1(u3_msualg_1(A,k11_msafree(A,B)),u1_struct_0(A)) & v1_prob_2(u3_msualg_1(A,k11_msafree(A,B))) ) ) )).
fof(fc8_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_finseq_1(C,A) ) => ( v1_relat_1(k3_relat_1(C,B)) & v4_relat_1(k3_relat_1(C,B),k4_finseq_1(C)) ) ) )).
fof(fc8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) ) => v3_finseq_1(k8_relat_1(k1_funct_1(A,B),C)) ) )).
fof(fc8_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) => ( v1_relat_1(k3_pboole(A,C,B)) & v4_relat_1(k3_pboole(A,C,B),A) & v1_funct_1(k3_pboole(A,C,B)) & v1_partfun1(k3_pboole(A,C,B),A) & v2_finset_1(k3_pboole(A,C,B)) ) ) )).
fof(fc8_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ~ v1_xboole_0(k6_msualg_2(A,B)) ) )).
fof(fc8_mycielsk,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_orders_2(A) ) => ( v8_struct_0(k3_necklace(A)) & v1_orders_2(k3_necklace(A)) ) ) )).
fof(fc8_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( v1_relat_1(k3_relat_1(A,C)) & v4_relat_1(k3_relat_1(A,C),k4_ordinal1) & v5_relat_1(k3_relat_1(A,C),B) & v1_funct_1(k3_relat_1(A,C)) ) ) )).
fof(fc8_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) ) => ( v1_relat_1(k5_nat_3(A,B,C)) & v4_relat_1(k5_nat_3(A,B,C),A) & v1_funct_1(k5_nat_3(A,B,C)) & v1_partfun1(k5_nat_3(A,B,C),A) & v3_valued_0(k5_nat_3(A,B,C)) ) ) )).
fof(fc8_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_nat_6(A,2) ) => ~ v1_zfmisc_1(k6_xcmplx_0(A,1)) ) )).
fof(fc8_neckla_3,axiom,( ! [A] : ! [B] : ( ( v1_necklace(A) & l1_orders_2(A) & v1_necklace(B) & l1_orders_2(B) ) => ( v1_orders_2(k2_neckla_2(A,B)) & v1_necklace(k2_neckla_2(A,B)) ) ) )).
fof(fc8_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => v1_finset_1(u1_struct_0(k4_necklace(A))) ) )).
fof(fc8_newton,axiom,( ! [A] : ( v7_ordinal1(A) => v2_xxreal_0(k2_newton(A)) ) )).
fof(fc8_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v2_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_funct_1(C) & v2_nfcont_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_funct_1(k2_vfunct_1(k1_numbers,A,B,C)) & v2_nfcont_3(k2_vfunct_1(k1_numbers,A,B,C),A) ) ) )).
fof(fc8_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v2_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_xreal_0(C) ) => ( v1_funct_1(k9_integr15(A,C,k1_numbers,B)) & v2_nfcont_4(k9_integr15(A,C,k1_numbers,B),A) ) ) )).
fof(fc8_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v2_nfcont_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_nfcont_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_nfcont_1(k2_xboole_0(B,C),A) ) )).
fof(fc8_numbers,axiom,( ~ v1_finset_1(k1_numbers) )).
fof(fc8_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_xreal_0(k1_numpoly1(A)) & v2_xxreal_0(k1_numpoly1(A)) ) ) )).
fof(fc8_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( ~ v2_struct_0(k15_openlatt(A)) & v10_lattices(k15_openlatt(A)) & v11_lattices(k15_openlatt(A)) ) ) )).
fof(fc8_oposet_1,axiom,( v2_necklace(k2_oposet_1) & v3_qmax_1(k2_oposet_1) )).
fof(fc8_orders_2,axiom,( ! [A] : ! [B] : ( ( v4_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_orders_2(g1_orders_2(A,B)) & v5_orders_2(g1_orders_2(A,B)) ) ) )).
fof(fc8_ordinal1,axiom,( v7_ordinal1(k5_ordinal1) )).
fof(fc8_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( v3_ordinal1(k3_ordinal5(A)) & v4_ordinal5(k3_ordinal5(A)) ) ) )).
fof(fc8_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) => ( v1_relat_1(k1_wellord2(A)) & v2_wellord1(k1_wellord2(A)) ) ) )).
fof(fc8_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k21_osafree(A,B,C)) ) )).
fof(fc8_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( ~ v2_struct_0(k16_osalg_2(A,B)) & v3_lattices(k16_osalg_2(A,B)) & v10_lattices(k16_osalg_2(A,B)) & v15_lattices(k16_osalg_2(A,B)) ) ) )).
fof(fc8_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(B) & v3_xxreal_0(B) ) => v2_partfun3(k2_funcop_1(A,B)) ) )).
fof(fc8_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v3_relat_2(k3_pcs_0(A,A,B,B,C,D)) ) )).
fof(fc8_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v3_rlvect_1(k12_polynom1(A,B)) ) ) )).
fof(fc8_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k11_polynom3(A,B,C)) & v1_funct_2(k11_polynom3(A,B,C),k4_ordinal1,u1_struct_0(A)) & v1_polynom1(k11_polynom3(A,B,C),A) ) ) )).
fof(fc8_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,B)) ) => ( v1_relat_1(k2_funct_4(C)) & v4_relat_1(k2_funct_4(C),k2_zfmisc_1(B,A)) & v1_funct_1(k2_funct_4(C)) ) ) )).
fof(fc8_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_pre_poly(A) ) => v1_finseq_1(k1_funct_1(A,B)) ) )).
fof(fc8_pre_topc,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_struct_0(k1_pre_topc(A,B)) & v1_pre_topc(k1_pre_topc(A,B)) ) ) )).
fof(fc8_prefer_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v1_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v2_relat_2(k7_prefer_1(A,B)) & v3_relat_2(k7_prefer_1(A,B)) ) ) )).
fof(fc8_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v3_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & v3_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc8_pscomp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k16_pscomp_1(A)) & v2_compts_1(k16_pscomp_1(A),k15_euclid(2)) ) ) )).
fof(fc8_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => v1_xreal_0(k13_quaterni(A)) ) )).
fof(fc8_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ~ v6_struct_0(k19_quofield(A)) & v33_algstr_0(k19_quofield(A)) & v36_algstr_0(k19_quofield(A)) & v2_rlvect_1(k19_quofield(A)) & v3_group_1(k19_quofield(A)) & v5_vectsp_1(k19_quofield(A)) ) ) )).
fof(fc8_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & ~ v6_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) ) ) )).
fof(fc8_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ v3_xxreal_2(k10_prob_1(A)) & v4_xxreal_2(k10_prob_1(A)) & v6_xxreal_2(k10_prob_1(A)) ) ) )).
fof(fc8_relat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) ) => ~ v1_xboole_0(k9_xtuple_0(A)) ) )).
fof(fc8_relat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_2(A) & v1_relat_1(B) ) => v2_relat_2(k4_xboole_0(A,B)) ) )).
fof(fc8_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) => v1_relat_1(k9_xtuple_0(D)) ) )).
fof(fc8_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & m1_subset_1(C,k8_afinsq_1(A)) ) => ~ v1_xboole_0(k8_rewrite2(A,B,C)) ) )).
fof(fc8_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_seq_2(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v3_valued_0(k24_valued_1(A,B)) & v1_seq_2(k24_valued_1(A,B)) ) ) )).
fof(fc8_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_rusub_4(k4_rlaffin1(A,B),A) ) )).
fof(fc8_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k6_rusub_4(A,C,B),A) ) )).
fof(fc8_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ( ~ v2_struct_0(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A)) ) ) )).
fof(fc8_robbins4,axiom,( v14_lattices(k2_robbins4) & v4_robbins1(k2_robbins4) )).
fof(fc8_roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v4_roughs_1(k4_roughs_1(A,B),A) ) )).
fof(fc8_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k5_rsspace4(A,B)) & v13_algstr_0(k5_rsspace4(A,B)) & v1_rlvect_1(k5_rsspace4(A,B)) & v2_rlvect_1(k5_rsspace4(A,B)) & v3_rlvect_1(k5_rsspace4(A,B)) & v4_rlvect_1(k5_rsspace4(A,B)) & v5_rlvect_1(k5_rsspace4(A,B)) & v6_rlvect_1(k5_rsspace4(A,B)) & v7_rlvect_1(k5_rsspace4(A,B)) & v8_rlvect_1(k5_rsspace4(A,B)) ) ) )).
fof(fc8_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ( v1_xcmplx_0(k16_rvsum_1(A)) & v1_xreal_0(k16_rvsum_1(A)) ) ) )).
fof(fc8_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( v3_membered(k3_rvsum_3(A)) & v3_xxreal_2(k3_rvsum_3(A)) & v4_xxreal_2(k3_rvsum_3(A)) ) ) )).
fof(fc8_scm_halt,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( ~ v1_xboole_0(k4_scmfsa6a(B,A)) & v1_relat_1(k4_scmfsa6a(B,A)) & v4_relat_1(k4_scmfsa6a(B,A),k4_ordinal1) & v5_relat_1(k4_scmfsa6a(B,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa6a(B,A)) & v1_finset_1(k4_scmfsa6a(B,A)) & v1_afinsq_1(k4_scmfsa6a(B,A)) & v1_scm_halt(k4_scmfsa6a(B,A)) ) ) )).
fof(fc8_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k7_scmfsa_2(A,B))) ) )).
fof(fc8_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ( v1_relat_1(k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A))) & v4_relat_1(k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A)),k4_ordinal1) & v5_relat_1(k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A)),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A))) & v1_finset_1(k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A))) & v5_amistd_1(k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A)),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc8_scmfsa6c,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_scmfsa6c(k9_scmfsa_2(A,B)) ) )).
fof(fc8_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ~ v1_xboole_0(k4_scmfsa8b(A,B,C,D)) & v1_relat_1(k4_scmfsa8b(A,B,C,D)) & v4_relat_1(k4_scmfsa8b(A,B,C,D),k4_ordinal1) & v5_relat_1(k4_scmfsa8b(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa8b(A,B,C,D)) & v1_finset_1(k4_scmfsa8b(A,B,C,D)) & v1_afinsq_1(k4_scmfsa8b(A,B,C,D)) & v5_amistd_1(k4_scmfsa8b(A,B,C,D),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc8_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v2_extpro_1(k8_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc8_scmfsa_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => v4_compos_0(k16_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc8_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) ) => ( v1_relat_1(k17_funcop_1(A,B)) & v4_relat_1(k17_funcop_1(A,B),u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k17_funcop_1(A,B)) & v5_funct_1(k17_funcop_1(A,B),k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc8_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v4_scmpds_4(k16_scmpds_2(A,B,C,D)) ) )).
fof(fc8_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) & v1_int_1(C) ) => v6_compos_0(k11_scmpds_2(A,B,C),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc8_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k5_scmpds_6(B,C,A)) & v4_relat_1(k5_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k5_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k5_scmpds_6(B,C,A)) & v1_funct_1(k5_scmpds_6(B,C,A)) & v1_finset_1(k5_scmpds_6(B,C,A)) & v1_afinsq_1(k5_scmpds_6(B,C,A)) & v2_compos_1(k5_scmpds_6(B,C,A),k1_scmpds_2) ) ) )).
fof(fc8_scmring2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ~ v2_extpro_1(k8_scmring2(A,B),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc8_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k4_scmring2(A,B,C))) ) )).
fof(fc8_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_scmyciel(B,A) ) => v3_scmyciel(k4_xboole_0(B,C),A) ) )).
fof(fc8_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) ) => v1_setfam_1(k5_enumset1(A,B,C,D,E,F,G)) ) )).
fof(fc8_sfmastr1,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_subset_1(B,k4_ordinal1) ) => v1_sfmastr1(k13_scmfsa_2(B,A)) ) )).
fof(fc8_simplex0,axiom,( ! [A] : ( v5_finset_1(A) => ( v5_finset_1(k1_simplex0(A)) & v1_classes1(k1_simplex0(A)) ) ) )).
fof(fc8_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v1_simplex1(B,A) & v2_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) ) => ( v1_relat_1(k5_relat_1(k2_rlaffin2(A),u1_pre_topc(B))) & v2_funct_1(k5_relat_1(k2_rlaffin2(A),u1_pre_topc(B))) ) ) )).
fof(fc8_sin_cos,axiom,( v1_funct_1(k22_sin_cos) & v1_funct_2(k22_sin_cos,k1_numbers,k1_numbers) & v1_fcont_1(k22_sin_cos) )).
fof(fc8_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos)))) )).
fof(fc8_sin_cos9,axiom,( v1_relat_1(k5_relat_1(k27_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)))) & v2_funct_1(k5_relat_1(k27_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)))) )).
fof(fc8_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xreal_0(k8_sincos10(A)) ) )).
fof(fc8_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => v1_topreal1(k5_finseq_1(A)) ) )).
fof(fc8_sprect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v2_compts_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_pscomp_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => v4_xxreal_2(k7_relat_1(C,B)) ) )).
fof(fc8_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k8_stacks_1(A)) & ~ v11_struct_0(k8_stacks_1(A)) & v1_stacks_1(k8_stacks_1(A)) & v6_stacks_1(k8_stacks_1(A)) ) ) )).
fof(fc8_struct_0,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_struct_0(A) ) => v1_finset_1(u1_struct_0(A)) ) )).
fof(fc8_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ~ v1_xboole_0(k7_enumset1(A,B,C,D,E,F,G,H,I)) )).
fof(fc8_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k1_tex_4(A,B)) ) )).
fof(fc8_topalg_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => ( v7_struct_0(k5_topalg_1(k15_euclid(A),B)) & v15_algstr_0(k5_topalg_1(k15_euclid(A),B)) ) ) )).
fof(fc8_topalg_5,axiom,( v1_funct_1(k7_topalg_5) & v1_funct_2(k7_topalg_5,u1_struct_0(k2_gr_cy_1),u1_struct_0(k5_topalg_1(k8_toprealb(2),k9_toprealb))) & v1_group_6(k7_topalg_5,k2_gr_cy_1,k5_topalg_1(k8_toprealb(2),k9_toprealb)) )).
fof(fc8_topalg_6,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_topalg_6(A)) ) => v3_membered(k9_xtuple_0(B)) ) )).
fof(fc8_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_tops_2(k1_openlatt(A),A) & v1_topgen_4(k1_openlatt(A),A) ) ) )).
fof(fc8_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v15_algstr_0(k5_topgrp_1(A)) & v2_group_1(k5_topgrp_1(A)) & v3_group_1(k5_topgrp_1(A)) ) ) )).
fof(fc8_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v9_rltopsp1(k1_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc8_topreala,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k1_xxreal_1(k6_xcmplx_0(A,B),A)) ) )).
fof(fc8_toprealb,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) & v1_xreal_0(B) ) => ( v1_funct_1(k1_fcont_1(A,B)) & v2_funct_1(k1_fcont_1(A,B)) & v1_funct_2(k1_fcont_1(A,B),k1_numbers,k1_numbers) & v2_funct_2(k1_fcont_1(A,B),k1_numbers) ) ) )).
fof(fc8_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ( v5_rltopsp1(k15_euclid(A)) & v2_toprealc(k15_euclid(A)) ) ) )).
fof(fc8_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => v1_xboole_0(k1_tops_1(A,k1_struct_0(A))) ) )).
fof(fc8_trees_1,axiom,( ~ v1_xboole_0(k8_trees_1) & v1_trees_1(k8_trees_1) )).
fof(fc8_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => ( v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v6_trees_3(k7_finseq_1(A,B)) ) ) )).
fof(fc8_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => ( ~ v1_xboole_0(k9_trees_9(A)) & v3_trees_3(k9_trees_9(A)) ) ) )).
fof(fc8_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_valued_0(A) & v1_relat_1(B) & v2_valued_0(B) ) => v2_valued_0(k2_xboole_0(A,B)) ) )).
fof(fc8_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & ~ v1_xboole_0(C) & v3_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k1_valued_1(D,E)) & v1_partfun1(k1_valued_1(D,E),A) ) ) )).
fof(fc8_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ( v1_funct_1(k7_hahnban1(A,B)) & v3_funct_1(k7_hahnban1(A,B)) & v1_funct_2(k7_hahnban1(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) )).
fof(fc8_vectsp_1,axiom,( ~ v6_struct_0(k2_vectsp_1) & v13_algstr_0(k2_vectsp_1) & v33_algstr_0(k2_vectsp_1) & v36_algstr_0(k2_vectsp_1) & v2_rlvect_1(k2_vectsp_1) & v3_rlvect_1(k2_vectsp_1) & v4_rlvect_1(k2_vectsp_1) & v3_group_1(k2_vectsp_1) & v5_group_1(k2_vectsp_1) & v3_vectsp_1(k2_vectsp_1) & v5_vectsp_1(k2_vectsp_1) & v6_vectsp_1(k2_vectsp_1) )).
fof(fc8_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_orders_2(k5_yellow_0(A,k2_struct_0(A))) & v4_yellow_0(k5_yellow_0(A,k2_struct_0(A)),A) & v7_yellow_0(k5_yellow_0(A,k2_struct_0(A)),A) & v8_yellow_0(k5_yellow_0(A,k2_struct_0(A)),A) ) ) )).
fof(fc8_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v2_struct_0(k4_waybel11(A,B)) & v6_waybel_0(k4_waybel11(A,B),A) ) ) )).
fof(fc8_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v2_struct_0(D) & v8_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( v6_waybel_0(k6_waybel_9(A,B,C,D),B) & v8_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) )).
fof(fc8_waybel18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => v4_waybel_3(k2_funcop_1(A,B)) ) )).
fof(fc8_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v2_waybel23(k2_waybel_3(A,B),A) ) )).
fof(fc8_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & l1_waybel_9(B) ) => ( v1_orders_2(k3_waybel24(A,B)) & v3_orders_2(k3_waybel24(A,B)) ) ) )).
fof(fc8_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( v5_orders_2(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc8_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) & v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) & v21_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ) )).
fof(fc8_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k5_waybel_0(A,B)) & v1_waybel_0(k5_waybel_0(A,B),A) ) ) )).
fof(fc8_waybel_1,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_funct_1(k4_waybel_1(A,B)) & v1_funct_2(k4_waybel_1(A,B),u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(k4_waybel_1(A,B),A,A) ) ) )).
fof(fc8_waybel_2,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k5_waybel_2(A)) & v1_funct_2(k5_waybel_2(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & v5_orders_3(k5_waybel_2(A),k3_yellow_3(A,A),A) ) ) )).
fof(fc8_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & m1_subset_1(C,A) ) => ~ v2_struct_0(k1_funct_1(B,C)) ) )).
fof(fc8_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k3_waybel_4(A))) & v1_yellow_0(k1_yellow_1(k3_waybel_4(A))) ) ) )).
fof(fc8_waybel_8,axiom,( ! [A] : ( ( v2_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc8_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k9_xboolean(A,B)) ) )).
fof(fc8_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) & ~ v8_ordinal1(B) & v1_xcmplx_0(B) ) => ~ v8_ordinal1(k3_xcmplx_0(A,B)) ) )).
fof(fc8_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k7_xcmplx_0(A,B)) ) )).
fof(fc8_xtuple_0,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k13_xtuple_0(A)) ) )).
fof(fc8_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => v1_xboole_0(k4_xxreal_1(A,A)) ) )).
fof(fc8_xxreal_2,axiom,( ! [A] : ( ( v4_membered(A) & v2_xxreal_2(A) ) => ( v1_xxreal_0(k1_xxreal_2(A)) & v1_rat_1(k1_xxreal_2(A)) ) ) )).
fof(fc8_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(A,B)) & ~ v3_xxreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc8_yellow10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_waybel_3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_waybel_3(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v2_waybel_3(k3_yellow_3(A,B)) ) ) )).
fof(fc8_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v9_functor0(k5_yellow18(A),A,k4_yellow18(A)) & v15_functor0(k5_yellow18(A),A,k4_yellow18(A)) & v21_functor0(k5_yellow18(A),A,k4_yellow18(A)) ) ) )).
fof(fc8_yellow21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_setfam_1(A) & m1_subset_1(B,u1_struct_0(k6_yellow21(A))) & m1_subset_1(C,u1_struct_0(k6_yellow21(A))) ) => ~ v1_xboole_0(k1_altcat_1(k6_yellow21(A),B,C)) ) )).
fof(fc8_yellow_1,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & v3_lattice3(k2_yellow_1(A)) ) )).
fof(fc8_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( v1_funct_1(k3_yellow_2(A)) & v1_funct_2(k3_yellow_2(A),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & v5_orders_3(k3_yellow_2(A),A,k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(fc8_yellow_3,axiom,( ! [A] : ! [B] : ( ( v2_lattice3(A) & l1_orders_2(A) & v2_lattice3(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v2_lattice3(k3_yellow_3(A,B)) ) ) )).
fof(fc8_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v12_waybel_0(k3_yellow_4(A,B,C),A) ) )).
fof(fc8_yellow_6,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & v7_waybel_0(k2_yellow_1(A)) ) )).
fof(fc8_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_1(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v2_waybel_1(k7_lattice3(A)) ) ) )).
fof(fc8_zmodul06,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v3_zmodul03(B) & m1_zmodul01(B,A) & v3_zmodul03(C) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k6_zmodul01(A,B,C)) & v3_zmodul03(k6_zmodul01(A,B,C)) ) ) )).
fof(fc90_fomodel0,axiom,( v1_xboole_0(k4_xboole_0(k4_ordinal1,k4_numbers)) )).
fof(fc90_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_0(B) ) => ~ v1_xboole_0(k22_member_1(A,B)) ) )).
fof(fc90_valued_0,axiom,( ! [A] : ! [B] : ( v6_membered(B) => v4_valued_0(k2_zfmisc_1(A,B)) ) )).
fof(fc90_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( v1_relat_1(k50_valued_1(A,B)) & v1_funct_1(k50_valued_1(A,B)) & v1_valued_0(k50_valued_1(A,B)) ) ) )).
fof(fc91_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => v1_xboole_0(k5_xboole_0(k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),1),A)) ) )).
fof(fc91_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) & v3_glib_003(A) & v9_glib_003(A) ) => ( v1_relat_1(k13_glib_003(A,B,C)) & v4_relat_1(k13_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k13_glib_003(A,B,C)) & v1_finset_1(k13_glib_003(A,B,C)) & v1_glib_000(k13_glib_003(A,B,C)) & v3_glib_003(k13_glib_003(A,B,C)) & v9_glib_003(k13_glib_003(A,B,C)) ) ) )).
fof(fc91_member_1,axiom,( ! [A] : ! [B] : ( ( v2_membered(A) & v1_xxreal_0(B) ) => v2_membered(k22_member_1(A,B)) ) )).
fof(fc91_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v5_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v5_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v5_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc91_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_relat_1(k50_valued_1(A,B)) & v1_funct_1(k50_valued_1(A,B)) & v3_valued_0(k50_valued_1(A,B)) ) ) )).
fof(fc92_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v8_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) ) => ( v1_relat_1(k13_fomodel0(B,C)) & v4_relat_1(k13_fomodel0(B,C),k2_finseq_1(k2_xcmplx_0(A,B))) & v1_partfun1(k13_fomodel0(B,C),k2_finseq_1(k2_xcmplx_0(A,B))) ) ) )).
fof(fc92_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) & v10_glib_003(A) & v1_xreal_0(C) ) => ( v1_relat_1(k13_glib_003(A,B,C)) & v4_relat_1(k13_glib_003(A,B,C),k4_ordinal1) & v1_funct_1(k13_glib_003(A,B,C)) & v1_finset_1(k13_glib_003(A,B,C)) & v1_glib_000(k13_glib_003(A,B,C)) & v3_glib_003(k13_glib_003(A,B,C)) & v10_glib_003(k13_glib_003(A,B,C)) ) ) )).
fof(fc92_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xcmplx_0(B) ) => v1_xboole_0(k23_member_1(A,B)) ) )).
fof(fc92_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v7_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v7_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v7_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc92_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_relat_1(B) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) ) => ( v1_relat_1(k50_valued_1(A,B)) & v5_relat_1(k50_valued_1(A,B),k3_numbers) & v1_funct_1(k50_valued_1(A,B)) ) ) )).
fof(fc93_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_xboole_0(k5_xboole_0(k1_funct_1(k9_fomodel0(A),k10_finseq_1(B,C)),k7_finseq_1(B,C))) ) )).
fof(fc93_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & ~ v1_xboole_0(A) & v1_xcmplx_0(B) ) => ~ v1_xboole_0(k23_member_1(A,B)) ) )).
fof(fc93_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v6_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v6_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v5_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc93_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & ~ v1_xboole_0(C) & v1_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k50_valued_1(D,E)) & v1_partfun1(k50_valued_1(D,E),A) ) ) )).
fof(fc94_fomodel0,axiom,( ! [A] : ( ( v5_finset_1(A) & v4_card_3(A) ) => v4_card_3(k3_tarski(A)) ) )).
fof(fc94_member_1,axiom,( ! [A] : ! [B] : ( ( v1_membered(A) & v1_xcmplx_0(B) ) => v1_membered(k23_member_1(A,B)) ) )).
fof(fc94_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v8_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v8_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v7_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc94_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v3_membered(B) & ~ v1_xboole_0(C) & v3_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k50_valued_1(D,E)) & v1_partfun1(k50_valued_1(D,E),A) ) ) )).
fof(fc95_fomodel0,axiom,( ! [A] : ( ( v4_funct_1(A) & v5_finset_1(A) & v4_card_3(A) ) => v4_card_3(k21_fomodel0(A)) ) )).
fof(fc95_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => v3_membered(k23_member_1(A,B)) ) )).
fof(fc95_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v6_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v5_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v6_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc95_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & ~ v1_xboole_0(C) & v4_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k50_valued_1(D,E)) & v1_partfun1(k50_valued_1(D,E),A) ) ) )).
fof(fc96_fomodel0,axiom,( ! [A] : ! [B] : ( ( v4_card_3(A) & v4_card_3(B) ) => v4_card_3(k2_xboole_0(A,B)) ) )).
fof(fc96_member_1,axiom,( ! [A] : ! [B] : ( ( v4_membered(A) & v1_rat_1(B) ) => v4_membered(k23_member_1(A,B)) ) )).
fof(fc96_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v6_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v5_valued_0(B) ) => ( v1_relat_1(k3_relat_1(B,A)) & v6_valued_0(k3_relat_1(B,A)) ) ) )).
fof(fc96_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_finseq_1(B) ) => ( v1_relat_1(k50_valued_1(A,B)) & v1_funct_1(k50_valued_1(A,B)) & v1_finseq_1(k50_valued_1(A,B)) ) ) )).
fof(fc97_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : v1_xboole_0(k5_xboole_0(k6_subset_1(A,k6_subset_1(k2_xboole_0(A,B),C)),k3_xboole_0(A,C))) )).
fof(fc97_member_1,axiom,( ! [A] : ! [B] : ( ( v5_membered(A) & v1_int_1(B) ) => v5_membered(k23_member_1(A,B)) ) )).
fof(fc97_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v8_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v7_valued_0(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v8_valued_0(k3_relat_1(A,B)) ) ) )).
fof(fc97_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) ) => ( v1_relat_1(k54_valued_1(A)) & v5_relat_1(k54_valued_1(A),k3_numbers) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) ) ) )).
fof(fc98_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_xboole_0(k5_xboole_0(k1_funct_1(k7_fomodel0(A),k7_finseq_1(k12_finseq_1(A,B),C)),B)) ) )).
fof(fc98_member_1,axiom,( ! [A] : ! [B] : ( ( v6_membered(A) & v7_ordinal1(B) ) => v6_membered(k23_member_1(A,B)) ) )).
fof(fc98_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) & v8_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v2_valued_0(B) & v7_valued_0(B) ) => ( v1_relat_1(k3_relat_1(B,A)) & v8_valued_0(k3_relat_1(B,A)) ) ) )).
fof(fc98_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) ) => ( v1_relat_1(k54_valued_1(A)) & v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A)) & v4_valued_0(k54_valued_1(A)) ) ) )).
fof(fc99_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => v1_xboole_0(k4_xboole_0(k7_subset_1(A,C,B),k6_subset_1(A,D))) ) )).
fof(fc99_member_1,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(A) & v1_xxreal_0(B) ) => v1_xboole_0(k24_member_1(A,B)) ) )).
fof(fc99_valued_0,axiom,( ! [A] : ( v2_membered(A) => ( v1_funct_1(k4_relat_1(A)) & v1_funct_2(k4_relat_1(A),A,A) & v5_valued_0(k4_relat_1(A)) ) ) )).
fof(fc99_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_membered(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k54_valued_1(C)) & v1_partfun1(k54_valued_1(C),A) ) ) )).
fof(fc9_abcmiz_a,axiom,( v1_msualg_1(k27_abcmiz_1) & v1_instalg1(k27_abcmiz_1) & v1_abcmiz_1(k27_abcmiz_1) & v3_abcmiz_a(k27_abcmiz_1) )).
fof(fc9_abian,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_abian(A) & v1_int_1(B) & v1_abian(B) ) => v1_abian(k2_xcmplx_0(A,B)) ) )).
fof(fc9_afinsq_1,axiom,( ! [A] : ( v5_ordinal1(k3_afinsq_1(A)) & v1_finset_1(k3_afinsq_1(A)) ) )).
fof(fc9_algstr_0,axiom,( v13_struct_0(k3_algstr_0,1) & v8_algstr_0(k3_algstr_0) )).
fof(fc9_algstr_1,axiom,( v29_algstr_0(k2_algstr_1) & v3_group_1(k2_algstr_1) )).
fof(fc9_algstr_4,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_struct_0(k9_algstr_4(A,B)) & v15_algstr_0(k9_algstr_4(A,B)) ) ) )).
fof(fc9_ami_6,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_ami_3,k4_ami_3(A,B))) ) )).
fof(fc9_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(A,k4_amistd_1(A))) ) => ( v1_relat_1(k6_memstr_0(A,k4_amistd_1(A),B)) & v4_relat_1(k6_memstr_0(A,k4_amistd_1(A),B),u1_struct_0(k4_amistd_1(A))) & v1_xboole_0(k6_memstr_0(A,k4_amistd_1(A),B)) & v1_funct_1(k6_memstr_0(A,k4_amistd_1(A),B)) & v5_funct_1(k6_memstr_0(A,k4_amistd_1(A),B),k2_memstr_0(A,k4_amistd_1(A))) ) ) )).
fof(fc9_aofa_000,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_freealg(A) ) => ( ~ v2_struct_0(k7_freealg(k19_aofa_000,A)) & v1_unialg_1(k7_freealg(k19_aofa_000,A)) & v2_unialg_1(k7_freealg(k19_aofa_000,A)) & v3_unialg_1(k7_freealg(k19_aofa_000,A)) & v4_unialg_1(k7_freealg(k19_aofa_000,A)) & v12_aofa_000(k7_freealg(k19_aofa_000,A)) ) ) )).
fof(fc9_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v4_msafree4(C,A,B) & l3_msualg_1(C,A) & v2_relat_1(D) & m1_msafree(D,A,B) ) => ~ v1_xboole_0(k12_aofa_a00(A,B,C,D)) ) )).
fof(fc9_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & l3_msualg_1(D,A) & m2_pboole(E,u1_struct_0(A),k1_aofa_a01(A,B,C),u3_msualg_1(A,D)) & m1_subset_1(F,k1_funct_1(u3_msualg_1(A,C),u8_aofa_a00(A))) ) => v1_xboolean(k14_aofa_a00(A,B,C,D,u8_aofa_a00(A),F,E)) ) )).
fof(fc9_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_aofa_l00(B,A) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ~ v1_xboole_0(k1_funct_1(u3_msualg_1(B,C),u1_aofa_l00(B))) ) )).
fof(fc9_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k14_bagorder(A)) & v3_orders_2(k14_bagorder(A)) & v4_orders_2(k14_bagorder(A)) & v5_orders_2(k14_bagorder(A)) ) ) )).
fof(fc9_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k2_normsp_1(A,B,C)) & v1_funct_2(k2_normsp_1(A,B,C),k4_ordinal1,u1_struct_0(A)) & v2_bhsp_3(k2_normsp_1(A,B,C),A) ) ) )).
fof(fc9_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & v13_vectsp_1(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( v1_funct_1(k9_bilinear(A,B,C,D,E)) & v1_funct_2(k9_bilinear(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(k9_bilinear(A,B,C,D,E),A,B,C) ) ) )).
fof(fc9_binop_2,axiom,( v1_funct_1(k23_binop_2) & v1_funct_2(k23_binop_2,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & v1_binop_1(k23_binop_2,k4_ordinal1) & v2_binop_1(k23_binop_2,k4_ordinal1) )).
fof(fc9_borsuk_1,axiom,( ~ v2_struct_0(k17_borsuk_1) & v1_pre_topc(k17_borsuk_1) & v2_pre_topc(k17_borsuk_1) )).
fof(fc9_borsuk_2,axiom,( v1_borsuk_2(k17_borsuk_1) )).
fof(fc9_borsuk_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v1_rat_1(A) ) => ~ v1_rat_1(k3_int_1(A)) ) )).
fof(fc9_borsuk_6,axiom,( ~ v1_xboole_0(k7_borsuk_6) & v4_pre_topc(k7_borsuk_6,k2_borsuk_1(k5_topmetr,k5_topmetr)) )).
fof(fc9_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v5_rlvect_1(k5_c0sp2(A)) & v6_rlvect_1(k5_c0sp2(A)) & v7_rlvect_1(k5_c0sp2(A)) & v8_rlvect_1(k5_c0sp2(A)) ) ) )).
fof(fc9_card_1,axiom,( ~ v1_finset_1(k4_ordinal1) )).
fof(fc9_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v3_card_3(k4_card_3(A)) ) )).
fof(fc9_card_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => v3_ordinal1(k1_funct_1(k3_wellord1(k1_wellord2(k2_wellord2(k1_wellord2(B))),k1_wellord2(B)),C)) ) )).
fof(fc9_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & v2_catalg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v1_relat_1(k2_xtuple_0(B)) & v1_funct_1(k2_xtuple_0(B)) & v1_finseq_1(k2_xtuple_0(B)) ) ) )).
fof(fc9_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_binop_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v2_rlvect_1(g1_cayldick(A,C,B,D,E,F,G,H)) & v1_cayldick(g1_cayldick(A,C,B,D,E,F,G,H)) ) ) )).
fof(fc9_cayley,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_funct_1(k4_cayley(A)) & v2_funct_1(k4_cayley(A)) & v1_funct_2(k4_cayley(A),u1_struct_0(A),u1_struct_0(k2_cayley(u1_struct_0(A)))) ) ) )).
fof(fc9_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( v2_clvect_1(k5_cc0sp2(A)) & v3_clvect_1(k5_cc0sp2(A)) & v4_clvect_1(k5_cc0sp2(A)) & v5_clvect_1(k5_cc0sp2(A)) ) ) )).
fof(fc9_cfdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_funct_1(B) & v1_partfun1(B,k2_numbers) & v2_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_funct_1(k24_valued_1(B,A)) & v1_partfun1(k24_valued_1(B,A),k2_numbers) & v2_cfdiff_1(k24_valued_1(B,A)) ) ) )).
fof(fc9_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v13_algstr_0(k8_cfuncdom(A)) & v2_rlvect_1(k8_cfuncdom(A)) & v3_rlvect_1(k8_cfuncdom(A)) & v4_rlvect_1(k8_cfuncdom(A)) & v2_clvect_1(k8_cfuncdom(A)) & v3_clvect_1(k8_cfuncdom(A)) & v4_clvect_1(k8_cfuncdom(A)) & v1_vectsp_1(k8_cfuncdom(A)) & v3_vectsp_1(k8_cfuncdom(A)) & v3_group_1(k8_cfuncdom(A)) & v5_group_1(k8_cfuncdom(A)) & v1_cfuncdom(k8_cfuncdom(A)) & v2_cfuncdom(k8_cfuncdom(A)) ) ) )).
fof(fc9_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ~ v1_xboole_0(k10_cgames_1(A)) ) )).
fof(fc9_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_circcmb3(A) & l1_msualg_1(A) ) => ~ v1_facirc_1(k2_msafree2(A)) ) )).
fof(fc9_circcomb,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ v2_struct_0(k5_circcomb(A,B)) & ~ v11_struct_0(k5_circcomb(A,B)) & v1_msualg_1(k5_circcomb(A,B)) ) ) )).
fof(fc9_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k9_clopban1(A,B)) & v13_algstr_0(k9_clopban1(A,B)) & v2_rlvect_1(k9_clopban1(A,B)) & v3_rlvect_1(k9_clopban1(A,B)) & v4_rlvect_1(k9_clopban1(A,B)) & v1_clvect_1(k9_clopban1(A,B)) & v2_clvect_1(k9_clopban1(A,B)) & v3_clvect_1(k9_clopban1(A,B)) & v4_clvect_1(k9_clopban1(A,B)) & v5_clvect_1(k9_clopban1(A,B)) ) ) )).
fof(fc9_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( ~ v2_struct_0(k9_clopban2(A)) & v1_clopban2(k9_clopban2(A)) ) ) )).
fof(fc9_closure1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v11_closure1(B,A) & l1_closure1(B,A) ) => v6_mssubfam(u1_closure1(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc9_closure2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v14_closure2(B,A) & l1_closure2(B,A) ) => v3_closure2(u1_closure2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) ) )).
fof(fc9_coh_sp,axiom,( ! [A] : ~ v1_xboole_0(k16_coh_sp(A)) )).
fof(fc9_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v1_relat_1(k7_cohsp_1(A)) ) )).
fof(fc9_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( ~ v1_xboole_0(k7_compos_1(A,B,C)) & v1_relat_1(k7_compos_1(A,B,C)) & v4_relat_1(k7_compos_1(A,B,C),k4_ordinal1) & v5_relat_1(k7_compos_1(A,B,C),u1_compos_1(A)) & v1_funct_1(k7_compos_1(A,B,C)) & v1_finset_1(k7_compos_1(A,B,C)) & v1_afinsq_1(k7_compos_1(A,B,C)) ) ) )).
fof(fc9_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v2_margrel1(A) ) => v3_comput_1(k5_finseq_1(A)) ) )).
fof(fc9_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_comseq_3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_funct_1(k4_comseq_3(A)) & v1_funct_2(k4_comseq_3(A),k4_ordinal1,k1_numbers) & v1_series_1(k4_comseq_3(A)) ) ) )).
fof(fc9_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k9_csspace4(A,B)) & v13_algstr_0(k9_csspace4(A,B)) & v2_rlvect_1(k9_csspace4(A,B)) & v3_rlvect_1(k9_csspace4(A,B)) & v4_rlvect_1(k9_csspace4(A,B)) & v3_normsp_0(k9_csspace4(A,B)) & v4_normsp_0(k9_csspace4(A,B)) & v2_clvect_1(k9_csspace4(A,B)) & v3_clvect_1(k9_csspace4(A,B)) & v4_clvect_1(k9_csspace4(A,B)) & v5_clvect_1(k9_csspace4(A,B)) & v8_clvect_1(k9_csspace4(A,B)) ) ) )).
fof(fc9_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k1_xboole_0) & v1_funct_1(A) & v1_partfun1(A,k1_xboole_0) & v1_yellow_1(A) ) => ( v1_orders_2(k4_yellow_1(k1_xboole_0,A)) & v4_dickson(k4_yellow_1(k1_xboole_0,A)) ) ) )).
fof(fc9_dilworth,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v8_struct_0(k5_yellow_0(A,B)) & v1_orders_2(k5_yellow_0(A,B)) & v4_yellow_0(k5_yellow_0(A,B),A) ) ) )).
fof(fc9_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k17_dualsp01(A)) & v3_normsp_0(k17_dualsp01(A)) & v4_normsp_0(k17_dualsp01(A)) & v2_normsp_1(k17_dualsp01(A)) ) ) )).
fof(fc9_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => v3_finseq_1(k1_euclid(A)) ) )).
fof(fc9_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => v5_euclid_7(k8_euclid_7(A),A) ) )).
fof(fc9_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v1_valued_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v1_valued_0(C) ) => ( v1_relat_1(k1_valued_1(B,C)) & v1_funct_1(k1_valued_1(B,C)) & v3_card_1(k1_valued_1(B,C),A) ) ) )).
fof(fc9_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v2_funct_2(B,A) & m1_subset_1(C,k9_xtuple_0(B)) & m1_subset_1(D,k9_xtuple_0(B)) ) => v2_funct_2(k9_funct_7(B,C,D),A) ) )).
fof(fc9_facirc_1,axiom,( ! [A] : ! [B] : ( ( v1_xtuple_0(A) & v1_xtuple_0(B) ) => v1_relat_1(k2_tarski(A,B)) ) )).
fof(fc9_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v2_fcont_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v2_fcont_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k1_valued_1(A,B)) & v2_fcont_1(k1_valued_1(A,B)) ) ) )).
fof(fc9_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v19_lattices(B,k1_lattice2(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) => v18_lattices(k4_filter_2(A,B),A) ) )).
fof(fc9_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)) ) )).
fof(fc9_finseq_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,A) ) => ~ v1_xboole_0(k5_finseq_5(A,B,D,C)) ) )).
fof(fc9_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k2_xboole_0(A,B)) ) )).
fof(fc9_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_xboole_0(C) ) => v2_fomodel0(k3_xboole_0(C,B),A,B) ) )).
fof(fc9_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ~ v1_finset_1(k1_fomodel1(A)) ) )).
fof(fc9_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ( v1_relat_1(k10_fomodel2(A,B,C)) & v1_funct_1(k10_fomodel2(A,B,C)) & v2_fomodel2(k10_fomodel2(A,B,C),A,B,C) ) ) )).
fof(fc9_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v7_ordinal1(D) ) => v1_partfun1(k8_fomodel3(A,B,C,D),k4_finseq_2(D,A)) ) )).
fof(fc9_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v2_fomodel4(C,A) ) => v2_fomodel4(k3_xboole_0(C,B),A) ) )).
fof(fc9_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => ( ~ v2_struct_0(k4_fsm_3(A,B,C)) & v3_fsm_3(k4_fsm_3(A,B,C),A,k9_flang_1(A)) & v4_fsm_3(k4_fsm_3(A,B,C),A,k9_flang_1(A)) ) ) )).
fof(fc9_funcop_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k3_relat_1(B,A)) & v1_funcop_1(k3_relat_1(B,A)) ) ) )).
fof(fc9_funcsdom,axiom,( ! [A] : ( v13_algstr_0(k12_funcsdom(A)) & v1_vectsp_1(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)) & v2_rlvect_1(k12_funcsdom(A)) & v3_rlvect_1(k12_funcsdom(A)) & v4_rlvect_1(k12_funcsdom(A)) & v5_rlvect_1(k12_funcsdom(A)) & v6_rlvect_1(k12_funcsdom(A)) & v7_rlvect_1(k12_funcsdom(A)) & v3_group_1(k12_funcsdom(A)) & v5_group_1(k12_funcsdom(A)) & v1_funcsdom(k12_funcsdom(A)) & v2_funcsdom(k12_funcsdom(A)) ) )).
fof(fc9_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k6_relat_1(A,B)) & v1_funct_1(k6_relat_1(A,B)) ) ) )).
fof(fc9_funct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v1_funct_1(k3_partfun1(B,A,A)) & v1_partfun1(k3_partfun1(B,A,A),A) ) ) )).
fof(fc9_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) ) => ( v1_relat_1(k1_funct_4(C,B)) & v4_relat_1(k1_funct_4(C,B),A) & v1_funct_1(k1_funct_4(C,B)) & v1_partfun1(k1_funct_4(C,B),A) ) ) )).
fof(fc9_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k2_zfmisc_1(A,A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(A,A))))) & v7_ordinal1(C) ) => v1_relat_1(k1_funct_1(B,C)) ) )).
fof(fc9_funct_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_funct_9(A) & v1_xreal_0(B) ) => ( v1_relat_1(k13_valued_1(A,B)) & v1_funct_1(k13_valued_1(A,B)) & v2_funct_9(k13_valued_1(A,B)) ) ) )).
fof(fc9_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_altcat_1(B,C,C)) ) => ( v6_functor0(k9_functor0(A,B,C,D),A,B) & v9_functor0(k9_functor0(A,B,C,D),A,B) ) ) )).
fof(fc9_gate_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => v1_xboole_0(k4_gate_1(A,B)) ) )).
fof(fc9_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) & v1_int_1(B) ) => v1_gaussint(k3_xcmplx_0(B,A)) ) )).
fof(fc9_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_001(B,A) & m3_glib_001(B,A) & v1_glib_001(C,A) & m3_glib_001(C,A) ) => v1_glib_001(k7_glib_001(A,B,C),A) ) )).
fof(fc9_gr_cy_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(k4_gr_cy_1(A)) & v15_algstr_0(k4_gr_cy_1(A)) & v1_gr_cy_1(k4_gr_cy_1(A)) ) ) )).
fof(fc9_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_finset_1(k6_graph_3(A,B)) ) )).
fof(fc9_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => v1_grcat_1(k11_grcat_1(A)) ) )).
fof(fc9_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) ) => ( v1_funct_1(k8_group_6(A,B)) & v1_funct_2(k8_group_6(A,B),u1_struct_0(A),u1_struct_0(k5_group_6(A,B))) & v1_group_6(k8_group_6(A,B),A,k5_group_6(A,B)) ) ) )).
fof(fc9_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) ) => v2_group_7(k5_finseq_1(A),k1_tarski(1)) ) )).
fof(fc9_hahnban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v1_funct_1(k6_hahnban1(A,B,C,D)) & v1_funct_2(k6_hahnban1(A,B,C,D),u1_struct_0(B),u1_struct_0(A)) & v1_hahnban1(k6_hahnban1(A,B,C,D),A,B) ) ) )).
fof(fc9_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & ~ v3_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_relat_1(k1_comseq_2(B)) & v1_funct_1(k1_comseq_2(B)) & ~ v3_funct_1(k1_comseq_2(B)) & v1_valued_0(k1_comseq_2(B)) ) ) )).
fof(fc9_hilbert3,axiom,( v1_hilbert3(k2_hilbert1) )).
fof(fc9_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k7_hilbert4(A)) & v1_funct_1(k7_hilbert4(A)) ) ) )).
fof(fc9_hurwitz2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_funct_1(k1_hurwitz2(A,B)) & v1_funct_2(k1_hurwitz2(A,B),k4_ordinal1,u1_struct_0(A)) & v3_hurwitz2(k1_hurwitz2(A,B),A) ) ) )).
fof(fc9_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v1_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v1_ideal_1(k10_ideal_1(A,B,C),A) ) )).
fof(fc9_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_index_1(C,A,B) => ( v1_relat_1(k2_xtuple_0(C)) & v1_funct_1(k2_xtuple_0(C)) ) ) )).
fof(fc9_int_6,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k1_int_6(A,B)) & v5_relat_1(k1_int_6(A,B),k4_numbers) & v1_funct_1(k1_int_6(A,B)) & v1_finseq_1(k1_int_6(A,B)) ) ) )).
fof(fc9_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ( v3_lattices(k21_interva1(A)) & v10_lattices(k21_interva1(A)) ) ) )).
fof(fc9_isomichi,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v3_isomichi(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_isomichi(k3_subset_1(u1_struct_0(A),B),A) ) )).
fof(fc9_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ~ v1_xboole_0(k4_xboole_0(k2_topreal9(B,C,A),k6_domain_1(u1_struct_0(k15_euclid(B)),D))) ) )).
fof(fc9_jordan23,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(B,A) & v3_jordan23(B) & m1_finseq_1(B,A) & m1_subset_1(C,A) ) => v3_jordan23(k1_finseq_6(A,B,C)) ) )).
fof(fc9_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ v1_xboole_0(k2_jordan2c(2,A)) ) )).
fof(fc9_kurato_1,axiom,( v1_setfam_1(k3_kurato_1(k3_topmetr,k6_kurato_1)) )).
fof(fc9_lattad_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v7_lattad_1(B,A) & v8_lattad_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k17_lattad_1(A,B)) & v3_lattices(k17_lattad_1(A,B)) ) ) )).
fof(fc9_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ( v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_setwiseo(u2_lattices(A),u1_struct_0(A)) ) ) )).
fof(fc9_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => v4_lexbfs(k25_lexbfs(A,k26_lexbfs(A)),A) ) )).
fof(fc9_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k11_lopban_1(A,B)) & v13_algstr_0(k11_lopban_1(A,B)) & v1_rlvect_1(k11_lopban_1(A,B)) & v2_rlvect_1(k11_lopban_1(A,B)) & v3_rlvect_1(k11_lopban_1(A,B)) & v4_rlvect_1(k11_lopban_1(A,B)) & v5_rlvect_1(k11_lopban_1(A,B)) & v6_rlvect_1(k11_lopban_1(A,B)) & v7_rlvect_1(k11_lopban_1(A,B)) & v8_rlvect_1(k11_lopban_1(A,B)) ) ) )).
fof(fc9_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k9_lopban_2(A)) & v1_lopban_2(k9_lopban_2(A)) ) ) )).
fof(fc9_ltlaxio3,axiom,( ~ v2_ltlaxio3(k4_tarski(k6_finseq_1(k1_hilbert1),k6_finseq_1(k1_hilbert1))) )).
fof(fc9_ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) & m1_subset_1(C,k9_xtuple_0(B)) ) => ~ v1_xboole_0(k1_trees_2(k9_xtuple_0(B),C)) ) )).
fof(fc9_lukasi_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) & m1_subset_1(D,k3_cqc_lang(A)) ) => v2_cqc_the1(k2_qc_lang2(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,k8_cqc_lang(A,D,B),k8_cqc_lang(A,D,C))),A) ) )).
fof(fc9_matroid0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k3_matroid0(A,B)) & v1_pre_topc(k3_matroid0(A,B)) & ~ v3_pencil_1(k3_matroid0(A,B)) & v1_matroid0(k3_matroid0(A,B)) ) ) )).
fof(fc9_matrtop1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) & v3_valued_0(A) ) => ( v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)) & v3_valued_0(k15_finseq_1(A)) ) ) )).
fof(fc9_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v2_mazurulm(k3_struct_0(A),A,A) & v3_mazurulm(k3_struct_0(A),A,A) ) ) )).
fof(fc9_member_1,axiom,( ! [A] : ( v5_membered(A) => ( v1_membered(k5_member_1(A)) & v5_membered(k5_member_1(A)) ) ) )).
fof(fc9_membered,axiom,( ! [A] : ( v1_xreal_0(A) => v3_membered(k1_tarski(A)) ) )).
fof(fc9_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( v1_relat_1(k1_funct_7(D,k4_struct_0(B),C)) & v1_funct_1(k1_funct_7(D,k4_struct_0(B),C)) & v5_funct_1(k1_funct_7(D,k4_struct_0(B),C),k2_memstr_0(A,B)) ) ) )).
fof(fc9_metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v1_metrizts(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_pre_topc(k1_pre_topc(A,B)) & v1_metrizts(k1_pre_topc(A,B)) ) ) )).
fof(fc9_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ( v1_pre_topc(k1_pre_topc(A,k1_mfold_0(A))) & v3_mfold_0(k1_pre_topc(A,k1_mfold_0(A))) ) ) )).
fof(fc9_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v36_algstr_0(k2_mod_4(A)) & v3_group_1(k2_mod_4(A)) ) ) )).
fof(fc9_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k30_modelc_1(A)) ) )).
fof(fc9_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v3_msualg_1(k11_msafree(A,B),A) & v4_msualg_1(k11_msafree(A,B),A) ) ) )).
fof(fc9_msafree1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v1_msafree1(k11_msafree(A,B),A) ) )).
fof(fc9_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_finseq_1(C,A) ) => ( v1_relat_1(k3_relat_1(C,B)) & v4_relat_1(k3_relat_1(C,B),k4_finseq_1(C)) & v1_partfun1(k3_relat_1(C,B),k4_finseq_1(C)) ) ) )).
fof(fc9_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v3_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => v1_finset_1(k2_msafree5(A,B)) ) )).
fof(fc9_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) => ( v1_relat_1(k4_pboole(A,C,B)) & v4_relat_1(k4_pboole(A,C,B),A) & v1_funct_1(k4_pboole(A,C,B)) & v1_partfun1(k4_pboole(A,C,B),A) & v2_finset_1(k4_pboole(A,C,B)) ) ) )).
fof(fc9_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) ) => ~ v1_xboole_0(k8_msualg_2(A,B,C,D)) ) )).
fof(fc9_mycielsk,axiom,( ! [A] : ( ( v3_dilworth(A) & l1_orders_2(A) ) => ( v1_orders_2(k3_necklace(A)) & v4_dilworth(k3_necklace(A)) ) ) )).
fof(fc9_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( v1_relat_1(k3_relat_1(A,C)) & v1_partfun1(k3_relat_1(A,C),k4_ordinal1) ) ) )).
fof(fc9_nat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) ) => ( v1_relat_1(k5_nat_3(A,B,C)) & v4_relat_1(k5_nat_3(A,B,C),A) & v1_funct_1(k5_nat_3(A,B,C)) & v1_partfun1(k5_nat_3(A,B,C),A) & v4_valued_0(k5_nat_3(A,B,C)) ) ) )).
fof(fc9_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_ec_pf_2(A,2) ) => v7_ordinal1(k6_xcmplx_0(A,2)) ) )).
fof(fc9_neckla_3,axiom,( ! [A] : ! [B] : ( ( v3_necklace(A) & l1_orders_2(A) & v3_necklace(B) & l1_orders_2(B) ) => ( v1_orders_2(k1_neckla_2(A,B)) & v3_necklace(k1_neckla_2(A,B)) ) ) )).
fof(fc9_newton,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v1_xreal_0(k3_newton(A,B)) ) )).
fof(fc9_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v2_nfcont_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_xreal_0(C) ) => ( v1_funct_1(k4_vfunct_1(k1_numbers,A,B,C)) & v2_nfcont_3(k4_vfunct_1(k1_numbers,A,B,C),A) ) ) )).
fof(fc9_nfcont_4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v2_nfcont_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( v1_funct_1(k1_nfcont_4(A,k1_numbers,B)) & v2_fcont_1(k1_nfcont_4(A,k1_numbers,B)) ) ) )).
fof(fc9_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v3_nfcont_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_nfcont_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_nfcont_1(k3_xboole_0(B,C),A) ) )).
fof(fc9_numbers,axiom,( ~ v1_finset_1(k2_numbers) )).
fof(fc9_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v7_ordinal1(k1_numpoly1(A)) & v1_xreal_0(k1_numpoly1(A)) ) ) )).
fof(fc9_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) ) => ~ v1_xboole_0(k7_openlatt(A)) ) )).
fof(fc9_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k6_partfun1(k1_orders_1(u1_struct_0(A)))) ) => ~ v1_xboole_0(k4_orders_2(A,B)) ) )).
fof(fc9_ordinal1,axiom,( v8_ordinal1(k5_ordinal1) )).
fof(fc9_ordinal6,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k2_ordinal1(A)) ) )).
fof(fc9_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ v1_xboole_0(k23_osafree(A,B,C)) ) )).
fof(fc9_partfun3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(B) & ~ v2_xxreal_0(B) ) => v3_partfun3(k2_funcop_1(A,B)) ) )).
fof(fc9_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => ( v1_relat_1(k4_pcs_0(A,B)) & v4_relat_1(k4_pcs_0(A,B),A) & v1_funct_1(k4_pcs_0(A,B)) & v1_partfun1(k4_pcs_0(A,B),A) & v2_funcop_1(k4_pcs_0(A,B)) ) ) )).
fof(fc9_polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( ~ v2_struct_0(k12_polynom1(A,B)) & v36_algstr_0(k12_polynom1(A,B)) & v4_rlvect_1(k12_polynom1(A,B)) ) ) )).
fof(fc9_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v2_rlvect_1(k13_polynom3(A)) ) ) )).
fof(fc9_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,B)) ) => ( v1_relat_1(k2_funct_4(C)) & v4_relat_1(k2_funct_4(C),k2_zfmisc_1(B,A)) & v1_funct_1(k2_funct_4(C)) & v1_partfun1(k2_funct_4(C),k2_zfmisc_1(B,A)) ) ) )).
fof(fc9_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_relat_1(k1_card_3(A)) & v1_funct_1(k1_card_3(A)) & v1_card_3(k1_card_3(A)) & v1_finseq_1(k1_card_3(A)) ) ) )).
fof(fc9_pre_topc,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ~ v2_struct_0(g1_pre_topc(A,B)) & v1_pre_topc(g1_pre_topc(A,B)) ) ) )).
fof(fc9_prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(k5_prvect_3(A,B)) & v1_rlvect_1(k5_prvect_3(A,B)) & v4_rlvect_1(k5_prvect_3(A,B)) ) ) )).
fof(fc9_pscomp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k17_pscomp_1(A)) & v2_compts_1(k17_pscomp_1(A),k15_euclid(2)) ) ) )).
fof(fc9_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => v1_xreal_0(k14_quaterni(A)) ) )).
fof(fc9_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( v1_funct_1(k3_struct_0(A)) & v1_funct_2(k3_struct_0(A),u1_struct_0(A),u1_struct_0(A)) & v1_ringcat1(k3_struct_0(A),A,A) ) ) )).
fof(fc9_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k13_polynom3(A)) & v36_algstr_0(k13_polynom3(A)) & v1_vectsp_2(k13_polynom3(A)) ) ) )).
fof(fc9_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_xxreal_2(k2_limfunc1(A)) & ~ v4_xxreal_2(k2_limfunc1(A)) & v6_xxreal_2(k2_limfunc1(A)) ) ) )).
fof(fc9_relat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) ) => ~ v1_xboole_0(k10_xtuple_0(A)) ) )).
fof(fc9_relat_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_relat_2(A) ) => ( v1_relat_1(k2_relat_1(A)) & v3_relat_2(k2_relat_1(A)) ) ) )).
fof(fc9_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) => v1_relat_1(k10_xtuple_0(D)) ) )).
fof(fc9_rfunct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_seq_2(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ( v1_relat_1(k24_valued_1(A,B)) & v1_funct_1(k24_valued_1(A,B)) & v3_valued_0(k24_valued_1(A,B)) & v2_seq_2(k24_valued_1(A,B)) ) ) )).
fof(fc9_rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k4_rlaffin1(A,B)) ) )).
fof(fc9_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => v4_pre_topc(k5_rusub_4(A,B,C),A) ) )).
fof(fc9_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_robbins1(A) ) => ( v4_lattices(k8_robbins1(A)) & v4_robbins1(k8_robbins1(A)) ) ) )).
fof(fc9_roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k1_card_1(k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),B))) & v1_card_1(k1_card_1(k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),B))) ) ) )).
fof(fc9_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k9_rsspace4(A,B)) & v13_algstr_0(k9_rsspace4(A,B)) & v2_rlvect_1(k9_rsspace4(A,B)) & v3_rlvect_1(k9_rsspace4(A,B)) & v4_rlvect_1(k9_rsspace4(A,B)) & v5_rlvect_1(k9_rsspace4(A,B)) & v6_rlvect_1(k9_rsspace4(A,B)) & v7_rlvect_1(k9_rsspace4(A,B)) & v8_rlvect_1(k9_rsspace4(A,B)) & v3_normsp_0(k9_rsspace4(A,B)) & v4_normsp_0(k9_rsspace4(A,B)) & v2_normsp_1(k9_rsspace4(A,B)) ) ) )).
fof(fc9_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ( v1_xcmplx_0(k19_rvsum_1(A)) & v1_xreal_0(k19_rvsum_1(A)) ) ) )).
fof(fc9_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ~ v1_xboole_0(k3_rvsum_3(A)) ) )).
fof(fc9_scm_halt,axiom,( ! [A] : ! [B] : ( ( v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v4_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ( ~ v1_xboole_0(k5_scmfsa6a(A,B)) & v1_relat_1(k5_scmfsa6a(A,B)) & v4_relat_1(k5_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k5_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k5_scmfsa6a(A,B)) & v1_finset_1(k5_scmfsa6a(A,B)) & v1_afinsq_1(k5_scmfsa6a(A,B)) & v1_scm_halt(k5_scmfsa6a(A,B)) ) ) )).
fof(fc9_scmfsa10,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,k8_scmfsa_2(A,B))) ) )).
fof(fc9_scmfsa6a,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( v1_relat_1(k2_scmfsa6a(A,B)) & v4_relat_1(k2_scmfsa6a(A,B),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(A,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k2_scmfsa6a(A,B)) & v1_funct_1(k2_scmfsa6a(A,B)) & v1_finset_1(k2_scmfsa6a(A,B)) & v1_afinsq_1(k2_scmfsa6a(A,B)) & v5_amistd_1(k2_scmfsa6a(A,B),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(fc9_scmfsa6c,axiom,( ! [A] : ( ( v1_scmfsa6c(A) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) ) => ( v1_relat_1(k11_compos_1(k1_scmfsa_2,A)) & v4_relat_1(k11_compos_1(k1_scmfsa_2,A),k4_ordinal1) & v5_relat_1(k11_compos_1(k1_scmfsa_2,A),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k11_compos_1(k1_scmfsa_2,A)) & v1_finset_1(k11_compos_1(k1_scmfsa_2,A)) & v1_scmfsa6b(k11_compos_1(k1_scmfsa_2,A)) ) ) )).
fof(fc9_scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( ~ v1_xboole_0(k3_scmfsa8b(A,B,C,D)) & v1_relat_1(k3_scmfsa8b(A,B,C,D)) & v4_relat_1(k3_scmfsa8b(A,B,C,D),k4_ordinal1) & v5_relat_1(k3_scmfsa8b(A,B,C,D),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k3_scmfsa8b(A,B,C,D)) & v1_finset_1(k3_scmfsa8b(A,B,C,D)) & v1_afinsq_1(k3_scmfsa8b(A,B,C,D)) & v3_compos_1(k3_scmfsa8b(A,B,C,D),k1_scmfsa_2) & v4_compos_1(k3_scmfsa8b(A,B,C,D),k1_scmfsa_2) ) ) )).
fof(fc9_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ v2_extpro_1(k9_scmfsa_2(A,B),k5_card_1(3),k1_scmfsa_2) ) )).
fof(fc9_scmfsa_4,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => v4_compos_0(k17_scmfsa_2(A,B),u1_compos_1(k1_scmfsa_2)) ) )).
fof(fc9_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) & v7_ordinal1(B) ) => ~ v1_xboole_0(k1_funct_1(k8_scmfsa_m(A),B)) ) )).
fof(fc9_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_scmpds_4(B) ) => ( v1_relat_1(k1_ordinal4(A,B)) & v4_relat_1(k1_ordinal4(A,B),k4_ordinal1) & v5_relat_1(k1_ordinal4(A,B),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k1_ordinal4(A,B)) & v1_funct_1(k1_ordinal4(A,B)) & v1_finset_1(k1_ordinal4(A,B)) & v1_afinsq_1(k1_ordinal4(A,B)) & v3_scmpds_4(k1_ordinal4(A,B)) ) ) )).
fof(fc9_scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => v6_compos_0(k12_scmpds_2(A,B,C,D),u1_compos_1(k1_scmpds_2)) ) )).
fof(fc9_scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_scmpds_4(A) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( v1_relat_1(k6_scmpds_6(B,C,A)) & v4_relat_1(k6_scmpds_6(B,C,A),k4_ordinal1) & v5_relat_1(k6_scmpds_6(B,C,A),u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(k6_scmpds_6(B,C,A)) & v1_funct_1(k6_scmpds_6(B,C,A)) & v1_finset_1(k6_scmpds_6(B,C,A)) & v1_afinsq_1(k6_scmpds_6(B,C,A)) & v2_scmpds_4(k6_scmpds_6(B,C,A)) & v3_scmpds_4(k6_scmpds_6(B,C,A)) ) ) )).
fof(fc9_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v7_ordinal1(C) ) => ~ v2_extpro_1(k9_scmring2(A,C,B),k5_card_1(2),k1_scmring2(A)) ) )).
fof(fc9_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmring2(A),k5_scmring2(A,B,C))) ) )).
fof(fc9_scmyciel,axiom,( v4_scmyciel(k1_tarski(k1_xboole_0)) )).
fof(fc9_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & ~ v1_xboole_0(G) & ~ v1_xboole_0(H) ) => v1_setfam_1(k6_enumset1(A,B,C,D,E,F,G,H)) ) )).
fof(fc9_sfmastr1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => v1_sfmastr1(k14_scmfsa_2(C,A,B)) ) )).
fof(fc9_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(C) & v1_card_1(C) ) => v5_finset_1(k3_simplex0(A,B,C)) ) )).
fof(fc9_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v6_simplex0(B,u1_struct_0(A)) & v1_simplex1(B,A) & v2_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) ) => ( ~ v3_pencil_1(k4_simplex1(A,B)) & v1_matroid0(k4_simplex1(A,B)) & v3_matroid0(k4_simplex1(A,B)) & v2_simplex1(k4_simplex1(A,B),A) ) ) )).
fof(fc9_sin_cos6,axiom,( v1_relat_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) & v2_funct_1(k5_relat_1(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(fc9_sincos10,axiom,( v1_funct_1(k1_sincos10) & v2_funct_1(k1_sincos10) )).
fof(fc9_sppol_2,axiom,( ! [A] : ! [B] : ( ( v1_topreal1(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) ) => v1_topreal1(k16_finseq_1(B,A)) ) )).
fof(fc9_sprect_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v5_xxreal_2(k1_xxreal_1(A,B)) ) )).
fof(fc9_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & l1_stacks_1(A) ) => ~ v1_xboole_0(u1_stacks_1(A)) ) )).
fof(fc9_struct_0,axiom,( ! [A] : ( ( ~ v8_struct_0(A) & l1_struct_0(A) ) => ~ v1_finset_1(u1_struct_0(A)) ) )).
fof(fc9_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ~ v1_xboole_0(k8_enumset1(A,B,C,D,E,F,G,H,I,J)) )).
fof(fc9_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ~ v1_xboole_0(k2_tex_4(A,B)) ) )).
fof(fc9_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & v5_pre_topc(B,k17_borsuk_1,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & v5_pre_topc(C,k17_borsuk_1,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(k7_topalg_1(A,B,C)) & v1_funct_2(k7_topalg_1(A,B,C),u1_struct_0(k2_borsuk_1(k17_borsuk_1,k17_borsuk_1)),u1_struct_0(k15_euclid(A))) & v5_pre_topc(k7_topalg_1(A,B,C),k2_borsuk_1(k17_borsuk_1,k17_borsuk_1),k15_euclid(A)) ) ) )).
fof(fc9_topalg_5,axiom,( v1_funct_1(k7_topalg_5) & v2_funct_1(k7_topalg_5) & v1_funct_2(k7_topalg_5,u1_struct_0(k2_gr_cy_1),u1_struct_0(k5_topalg_1(k8_toprealb(2),k9_toprealb))) & v2_funct_2(k7_topalg_5,u1_struct_0(k5_topalg_1(k8_toprealb(2),k9_toprealb))) )).
fof(fc9_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v5_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) ) => ~ v1_xboole_0(k9_xtuple_0(B)) ) )).
fof(fc9_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => v9_rltopsp1(k2_topreal9(A,B,C),k15_euclid(A)) ) )).
fof(fc9_topreala,axiom,( ! [A] : ! [B] : ( ( ~ v2_xxreal_0(A) & v1_xreal_0(A) & v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ v1_xboole_0(k4_xxreal_1(A,B)) ) )).
fof(fc9_toprealb,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ~ v1_xboole_0(k1_toprealb(A,B)) ) )).
fof(fc9_toprealc,axiom,( v5_rltopsp1(k15_euclid(k5_numbers)) & v3_topmetr(k15_euclid(k5_numbers)) )).
fof(fc9_tops_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_pre_topc(k1_tops_1(A,B),A) ) )).
fof(fc9_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( ~ v1_xboole_0(k5_finseq_1(A)) & v4_trees_3(k5_finseq_1(A)) ) ) )).
fof(fc9_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => v3_trees_3(k1_tarski(A)) ) )).
fof(fc9_valued_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v3_valued_0(A) & v1_relat_1(B) & v3_valued_0(B) ) => v3_valued_0(k2_xboole_0(A,B)) ) )).
fof(fc9_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v4_membered(B) & ~ v1_xboole_0(C) & v4_membered(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( v1_funct_1(k1_valued_1(D,E)) & v1_partfun1(k1_valued_1(D,E),A) ) ) )).
fof(fc9_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) ) => ( ~ v2_struct_0(g1_vectsp_1(A,B,C,D,E)) & v7_vectsp_1(g1_vectsp_1(A,B,C,D,E),A) ) ) )).
fof(fc9_waybel10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_orders_2(k1_yellow_2(A,A,B)) & v4_yellow_0(k1_yellow_2(A,A,B),A) & v7_yellow_0(k1_yellow_2(A,A,B),A) ) ) )).
fof(fc9_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v3_orders_2(k4_waybel11(A,B)) & v4_orders_2(k4_waybel11(A,B)) & v5_orders_2(k4_waybel11(A,B)) & v6_waybel_0(k4_waybel11(A,B),A) & v7_waybel_0(k4_waybel11(A,B)) ) ) )).
fof(fc9_waybel18,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => v1_waybel18(k2_funcop_1(A,B)) ) )).
fof(fc9_waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => v1_waybel23(k1_waybel_3(A,B),A) ) )).
fof(fc9_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v4_orders_2(B) & l1_waybel_9(B) ) => ( v1_orders_2(k3_waybel24(A,B)) & v4_orders_2(k3_waybel24(A,B)) ) ) )).
fof(fc9_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ( v3_lattice3(k1_waybel25(A)) & v1_waybel_9(k1_waybel25(A)) ) ) )).
fof(fc9_waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v2_waybel18(B) & l1_pre_topc(B) ) => ( v1_pre_topc(k3_waybel18(A,k2_funcop_1(A,B))) & v2_pre_topc(k3_waybel18(A,k2_funcop_1(A,B))) & v2_waybel18(k3_waybel18(A,k2_funcop_1(A,B))) ) ) )).
fof(fc9_waybel30,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_xboole_0(k1_waybel30(A,B)) ) )).
fof(fc9_waybel34,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_orders_2(k1_yellow_2(A,B,C)) & v4_yellow_0(k1_yellow_2(A,B,C),B) & v3_lattice3(k1_yellow_2(A,B,C)) ) ) )).
fof(fc9_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ~ v1_xboole_0(k6_waybel_0(A,B)) & v2_waybel_0(k6_waybel_0(A,B),A) ) ) )).
fof(fc9_waybel_1,axiom,( ! [A] : ( v1_orders_2(k2_yellow_1(A)) & v10_waybel_1(k2_yellow_1(A)) ) )).
fof(fc9_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k2_yellow_2(A)) & v1_funct_2(k2_yellow_2(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A)) & v20_waybel_0(k2_yellow_2(A),k1_yellow_1(k7_waybel_0(A)),A) ) ) )).
fof(fc9_waybel_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) ) => ( v1_monoid_0(k4_yellow_1(A,B)) & v1_orders_2(k4_yellow_1(A,B)) ) ) )).
fof(fc9_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(k1_yellow_1(k3_waybel_4(A))) & v2_lattice3(k1_yellow_1(k3_waybel_4(A))) ) ) )).
fof(fc9_waybel_8,axiom,( ! [A] : ( ( v1_lattice3(A) & l1_orders_2(A) ) => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(fc9_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k2_waybel_9(A)) & v6_waybel_0(k2_waybel_9(A),A) ) ) )).
fof(fc9_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => v1_xboolean(k10_xboolean(A,B)) ) )).
fof(fc9_xcmplx_0,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) & ~ v8_ordinal1(B) & v1_xcmplx_0(B) ) => ~ v8_ordinal1(k7_xcmplx_0(A,B)) ) )).
fof(fc9_xreal_0,axiom,( ! [A] : ! [B] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => ~ v3_xxreal_0(k2_xcmplx_0(A,B)) ) )).
fof(fc9_xtuple_0,axiom,( ! [A] : ( v1_xboole_0(A) => v1_xboole_0(k14_xtuple_0(A)) ) )).
fof(fc9_xxreal_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => v3_membered(k4_xxreal_1(A,B)) ) )).
fof(fc9_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & v2_xxreal_2(A) ) => ( v1_xxreal_0(k1_xxreal_2(A)) & v1_int_1(k1_xxreal_2(A)) ) ) )).
fof(fc9_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & v1_xxreal_0(B) & ~ v2_xxreal_0(B) ) => ( v1_xxreal_0(k1_xxreal_3(A,B)) & ~ v2_xxreal_0(k1_xxreal_3(A,B)) ) ) )).
fof(fc9_yellow10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ( v1_orders_2(k3_yellow_3(A,B)) & v3_waybel_3(k3_yellow_3(A,B)) ) ) )).
fof(fc9_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v7_struct_0(k1_yellow_1(u1_pre_topc(A))) & v1_orders_2(k1_yellow_1(u1_pre_topc(A))) & v3_lattice3(k1_yellow_1(u1_pre_topc(A))) ) ) )).
fof(fc9_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => v1_waybel_0(k2_zfmisc_1(C,D),k3_yellow_3(A,B)) ) )).
fof(fc9_yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) ) => ( ~ v2_struct_0(k4_yellow_1(A,B)) & v1_orders_2(k4_yellow_1(A,B)) ) ) )).
fof(fc9_yellow_7,axiom,( ! [A] : ( ( v1_yellow_0(A) & l1_orders_2(A) ) => ( v1_orders_2(k7_lattice3(A)) & v2_yellow_0(k7_lattice3(A)) ) ) )).
fof(fc9_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k3_yellow_9(A,B)) & v6_waybel_0(k3_yellow_9(A,B),A) & v7_waybel_0(k3_yellow_9(A,B)) ) ) )).
fof(fc9_zmodul06,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) & v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) & v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ( v1_zmodul01(k6_zmodul01(A,B,C)) & v1_zmodul03(k6_zmodul01(A,B,C)) ) ) )).
fof(fraenkel_a_0_0_abcmiz_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_abcmiz_1) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(k1_xboole_0,B) ) ) )).
fof(fraenkel_a_0_0_ami_5,axiom,( ! [A] : ( r2_hidden(A,a_0_0_ami_5) <=> ? [B] : ? [C] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & A = k3_xtuple_0(B,k9_finseq_1(C),k1_xboole_0) & B = 6 ) ) )).
fof(fraenkel_a_0_0_arytm_0,axiom,( ! [A] : ( r2_hidden(A,a_0_0_arytm_0) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_arytm_3)) & A = B & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ( r2_tarski(C,B) => ( ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( r3_arytm_3(D,C) => r2_tarski(D,B) ) ) & ? [D] : ( m1_subset_1(D,k5_arytm_3) & r2_tarski(D,B) & ~ r3_arytm_3(D,C) ) ) ) ) ) ) )).
fof(fraenkel_a_0_0_arytm_2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_arytm_2) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_arytm_3)) & A = B & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ( r2_tarski(C,B) => ( ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( r3_arytm_3(D,C) => r2_tarski(D,B) ) ) & ? [D] : ( m1_subset_1(D,k5_arytm_3) & r2_tarski(D,B) & ~ r3_arytm_3(D,C) ) ) ) ) ) ) )).
fof(fraenkel_a_0_0_arytm_3,axiom,( ! [A] : ( r2_hidden(A,a_0_0_arytm_3) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(B,C) & r1_arytm_3(B,C) & C != k1_xboole_0 ) ) )).
fof(fraenkel_a_0_0_asympt_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_asympt_1) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k5_series_1(2,B) ) ) )).
fof(fraenkel_a_0_0_borsuk_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_borsuk_1) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_0_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k6_xcmplx_0(k3_xcmplx_0(2,k17_euclid(B)),1)) ) ) )).
fof(fraenkel_a_0_0_calcul_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_calcul_1) <=> ? [B] : ( v7_ordinal1(B) & A = B & r1_xxreal_0(B,9) ) ) )).
fof(fraenkel_a_0_0_complex1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_complex1) <=> ? [B] : ( m2_funct_2(B,2,k1_numbers,k9_funct_2(2,k1_numbers)) & A = B & k1_funct_1(B,1) = k5_numbers ) ) )).
fof(fraenkel_a_0_0_comput_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_comput_1) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) & A = B & v6_comput_1(B) ) ) )).
fof(fraenkel_a_0_0_cqc_the1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_cqc_the1) <=> ? [B] : ( v7_ordinal1(B) & A = B & r1_xxreal_0(B,9) ) ) )).
fof(fraenkel_a_0_0_dickson,axiom,( ! [A] : ( r2_hidden(A,a_0_0_dickson) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k1_domain_1(k4_ordinal1,k4_ordinal1,B,C) & r1_xxreal_0(B,C) ) ) )).
fof(fraenkel_a_0_0_diff_4,axiom,( ! [A] : ( r2_hidden(A,a_0_0_diff_4) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_entropy1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_entropy1) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_euclid_6,axiom,( ! [A] : ( r2_hidden(A,a_0_0_euclid_6) <=> ? [B] : ( m1_subset_1(B,k6_numbers) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_euler_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_euler_1) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = B & r1_int_2(1,B) & r1_xxreal_0(1,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_fdiff_10,axiom,( ! [A] : ( r2_hidden(A,a_0_0_fdiff_10) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_fdiff_7,axiom,( ! [A] : ( r2_hidden(A,a_0_0_fdiff_7) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_fdiff_8,axiom,( ! [A] : ( r2_hidden(A,a_0_0_fdiff_8) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_fdiff_9,axiom,( ! [A] : ( r2_hidden(A,a_0_0_fdiff_9) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_fib_num2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_fib_num2) <=> ? [B] : ( v7_ordinal1(B) & A = k3_xcmplx_0(2,B) ) ) )).
fof(fraenkel_a_0_0_finance2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_finance2) <=> ? [B] : ( m1_subset_1(B,k1_numbers) & A = k2_limfunc1(B) ) ) )).
fof(fraenkel_a_0_0_gaussint,axiom,( ! [A] : ( r2_hidden(A,a_0_0_gaussint) <=> ? [B] : ( v1_xcmplx_0(B) & v1_gaussint(B) & A = B ) ) )).
fof(fraenkel_a_0_0_graph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_0_graph_5) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) ) ) )).
fof(fraenkel_a_0_0_groeb_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_groeb_1) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = B & ~ r1_xxreal_0(k5_numbers,B) ) ) )).
fof(fraenkel_a_0_0_hilbert3,axiom,( ! [A] : ( r2_hidden(A,a_0_0_hilbert3) <=> ? [B] : ( m1_subset_1(B,k1_hilbert1) & A = B & v1_hilbert3(B) ) ) )).
fof(fraenkel_a_0_0_hilbert4,axiom,( ! [A] : ( r2_hidden(A,a_0_0_hilbert4) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = B ) ) )).
fof(fraenkel_a_0_0_holder_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_holder_1) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_integr12,axiom,( ! [A] : ( r2_hidden(A,a_0_0_integr12) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_integr13,axiom,( ! [A] : ( r2_hidden(A,a_0_0_integr13) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_0_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_0_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),k5_numbers) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_0_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jgraph_5) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k12_euclid(B),1) ) ) )).
fof(fraenkel_a_0_0_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 ) ) )).
fof(fraenkel_a_0_0_jgraph_7,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jgraph_7) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) ) )).
fof(fraenkel_a_0_0_jgraph_8,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jgraph_8) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_jordan,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k17_euclid(B) = k4_xcmplx_0(1) & r1_xxreal_0(k18_euclid(B),3) & r1_xxreal_0(k4_xcmplx_0(3),k18_euclid(B)) ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & k18_euclid(B) = 3 ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & k18_euclid(B) = k4_xcmplx_0(3) ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),3) & r1_xxreal_0(k4_xcmplx_0(3),k18_euclid(B)) ) ) ) ) )).
fof(fraenkel_a_0_0_jordan1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan1) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_jordan1h,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan1h) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k4_tarski(B,C) & r1_xxreal_0(B,C) ) ) )).
fof(fraenkel_a_0_0_jordan1k,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan1k) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ r1_xxreal_0(1,k12_euclid(B)) ) ) )).
fof(fraenkel_a_0_0_jordan2c,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan2c) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_jordan5a,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan5a) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_jordan5b,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan5b) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,k7_xcmplx_0(1,2)) ) ) )).
fof(fraenkel_a_0_0_jordan5c,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan5c) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_jordan6,axiom,( ! [A] : ( r2_hidden(A,a_0_0_jordan6) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(1,B) ) ) )).
fof(fraenkel_a_0_0_ltlaxio1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_ltlaxio1) <=> ? [B] : ( m2_subset_1(B,k1_hilbert1,k13_ltlaxio1) & A = B & ~ ( ~ v1_ltlaxio1(B) & ~ v3_ltlaxio1(B) & ~ v4_ltlaxio1(B) & ~ v5_ltlaxio1(B) & ~ v6_ltlaxio1(B) & ~ v7_ltlaxio1(B) & ~ v8_ltlaxio1(B) & ~ v9_ltlaxio1(B) ) ) ) )).
fof(fraenkel_a_0_0_modelc_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_modelc_1) <=> ? [B] : ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) & A = B & v2_modelc_1(B) ) ) )).
fof(fraenkel_a_0_0_modelc_2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_modelc_2) <=> ? [B] : ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) & A = B & v2_modelc_2(B) ) ) )).
fof(fraenkel_a_0_0_msualg_7,axiom,( ! [A] : ( r2_hidden(A,a_0_0_msualg_7) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k7_xcmplx_0(1,2)) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_nat_4,axiom,( ! [A] : ( r2_hidden(A,a_0_0_nat_4) <=> ? [B] : ( v1_int_2(B) & m1_subset_1(B,k4_ordinal1) & A = B & r1_xxreal_0(B,k1_nat_1(k5_numbers,1)) ) ) )).
fof(fraenkel_a_0_0_neckla_2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_neckla_2) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(k1_nat_1(B,1),B) & ~ r1_xxreal_0(4,k1_nat_1(B,1)) ) ) )).
fof(fraenkel_a_0_0_numbers,axiom,( ! [A] : ( r2_hidden(A,a_0_0_numbers) <=> ? [B] : ( m2_funct_2(B,k2_tarski(k5_ordinal1,1),k1_numbers,k9_funct_2(k2_tarski(k5_ordinal1,1),k1_numbers)) & A = B & k1_funct_1(B,1) = k5_ordinal1 ) ) )).
fof(fraenkel_a_0_0_numeral2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_numeral2) <=> ? [B] : ( v7_ordinal1(B) & A = B & v1_abian(B) ) ) )).
fof(fraenkel_a_0_0_pre_ff,axiom,( ! [A] : ( r2_hidden(A,a_0_0_pre_ff) <=> ? [B] : ( v7_ordinal1(B) & A = B & ~ r1_xxreal_0(2,B) ) ) )).
fof(fraenkel_a_0_0_prob_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_prob_1) <=> ? [B] : ( m1_subset_1(B,k1_numbers) & A = k10_prob_1(B) ) ) )).
fof(fraenkel_a_0_0_pythtrip,axiom,( ! [A] : ( r2_hidden(A,a_0_0_pythtrip) <=> ? [B] : ( m1_pythtrip(B) & A = B & ~ v2_pythtrip(B) & v3_pythtrip(B) ) ) )).
fof(fraenkel_a_0_0_quaterni,axiom,( ! [A] : ( r2_hidden(A,a_0_0_quaterni) <=> ? [B] : ( m2_funct_2(B,4,k1_numbers,k9_funct_2(4,k1_numbers)) & A = B & k1_funct_1(B,2) = k5_numbers & k1_funct_1(B,3) = k5_numbers ) ) )).
fof(fraenkel_a_0_0_rat_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_rat_1) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(B,C) & r1_arytm_3(B,C) & C != k11_arytm_3 ) ) )).
fof(fraenkel_a_0_0_real_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_real_1) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) ) ) )).
fof(fraenkel_a_0_0_rfunct_3,axiom,( ! [A] : ( r2_hidden(A,a_0_0_rfunct_3) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_scm_comp,axiom,( ! [A] : ( r2_hidden(A,a_0_0_scm_comp) <=> ? [B] : ( v7_ordinal1(B) & A = B & ~ r1_xxreal_0(1,B) ) ) )).
fof(fraenkel_a_0_0_scm_inst,axiom,( ! [A] : ( r2_hidden(A,a_0_0_scm_inst) <=> ? [B] : ? [C] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & A = k3_xtuple_0(B,k9_finseq_1(C),k1_xboole_0) & B = 6 ) ) )).
fof(fraenkel_a_0_0_scmfsa_i,axiom,( ! [A] : ( r2_hidden(A,a_0_0_scmfsa_i) <=> ? [B] : ? [C] : ? [D] : ? [E] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(13)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k2_scm_inst) & m1_subset_1(E,k1_scmfsa_i) & A = k3_xtuple_0(B,k1_xboole_0,k11_finseq_1(D,E,C)) & r2_tarski(B,k2_tarski(9,10)) ) ) )).
fof(fraenkel_a_0_0_scmpds_9,axiom,( ! [A] : ( r2_hidden(A,a_0_0_scmpds_9) <=> ? [B] : ( v7_ordinal1(B) & A = B & ~ r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_scmpds_i,axiom,( ! [A] : ( r2_hidden(A,a_0_0_scmpds_i) <=> ? [B] : ( m1_subset_1(B,k4_numbers) & A = k3_xtuple_0(14,k1_xboole_0,k12_finseq_1(k4_numbers,B)) ) ) )).
fof(fraenkel_a_0_0_scmring3,axiom,( ! [A] : ( r2_hidden(A,a_0_0_scmring3) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(8)) & m1_subset_1(C,k8_struct_0(k1_ami_3)) & m1_subset_1(D,k8_struct_0(k1_ami_3)) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k2_enumset1(1,2,3,4)) ) ) )).
fof(fraenkel_a_0_0_scmringi,axiom,( ! [A] : ( r2_hidden(A,a_0_0_scmringi) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(8)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k2_scm_inst) & A = k3_xtuple_0(B,k1_xboole_0,k2_finseq_4(k2_scm_inst,C,D)) & r2_tarski(B,k2_enumset1(1,2,3,4)) ) ) )).
fof(fraenkel_a_0_0_sgraph1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_sgraph1) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k2_tarski(B,C) & r2_tarski(B,k2_finseq_1(3)) & r2_tarski(C,k2_finseq_1(3)) & B != C ) ) )).
fof(fraenkel_a_0_0_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_0_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2))) & ~ r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,2),B) ) ) )).
fof(fraenkel_a_0_0_srings_2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_srings_2) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k4_rcomp_1(B,C) & r1_xxreal_0(B,C) ) ) )).
fof(fraenkel_a_0_0_taylor_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_taylor_1) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_topalg_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topalg_1) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_topdim_2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topdim_2) <=> ? [B] : ( v1_xreal_0(B) & A = k9_finseq_1(B) & ~ r1_xxreal_0(B,k3_xxreal_3(k5_numbers,1)) & ~ r1_xxreal_0(k1_nat_1(k5_numbers,1),B) ) ) )).
fof(fraenkel_a_0_0_topgen_3,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topgen_3) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k3_rcomp_1(B,C) & ~ r1_xxreal_0(C,B) & v1_rat_1(C) ) ) )).
fof(fraenkel_a_0_0_topgen_5,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topgen_5) <=> ? [B] : ( v1_xreal_0(B) & A = k19_euclid(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_topgen_6,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topgen_6) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k4_tarski(B,C) & C = k4_xcmplx_0(B) ) ) )).
fof(fraenkel_a_0_0_topmetr2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topmetr2) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k17_euclid(B) = k5_numbers & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_0_topreal2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topreal2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k17_euclid(B) = k5_numbers & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = 1 ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = k5_numbers ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) ) ) )).
fof(fraenkel_a_0_0_topreal5,axiom,( ! [A] : ( r2_hidden(A,a_0_0_topreal5) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_treal_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_treal_1) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_trees_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_trees_1) <=> ? [B] : ( v7_ordinal1(B) & A = k5_finseq_2(k4_ordinal1,B,k5_numbers) ) ) )).
fof(fraenkel_a_0_0_uniform1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_uniform1) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_0_uniroots,axiom,( ! [A] : ( r2_hidden(A,a_0_0_uniroots) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k1_uniroots(k1_complfld))) & A = B & k6_group_1(k1_uniroots(k1_complfld),B) = 1 ) ) )).
fof(fraenkel_a_0_0_urysohn2,axiom,( ! [A] : ( r2_hidden(A,a_0_0_urysohn2) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(k5_numbers,B) ) ) )).
fof(fraenkel_a_0_0_zf_lang,axiom,( ! [A] : ( r2_hidden(A,a_0_0_zf_lang) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = B & r1_xxreal_0(5,B) ) ) )).
fof(fraenkel_a_0_10_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_10_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr))) & A = B & r1_xxreal_0(k2_xfamily(B),k6_xcmplx_0(k3_xcmplx_0(2,k1_xfamily(B)),1)) ) ) )).
fof(fraenkel_a_0_10_dtconstr,axiom,( ! [A] : ( r2_hidden(A,a_0_10_dtconstr) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k5_dtconstr)) & A = B & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ r1_lang1(k5_dtconstr,B,C) ) ) ) )).
fof(fraenkel_a_0_10_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_10_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) ) )).
fof(fraenkel_a_0_10_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_10_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( k17_euclid(B) = k5_numbers & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = 1 ) | ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = k5_numbers ) | ( k17_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) ) ) )).
fof(fraenkel_a_0_11_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_11_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr))) & A = B & r1_xxreal_0(k6_xcmplx_0(1,k3_xcmplx_0(2,k1_xfamily(B))),k2_xfamily(B)) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2,k1_xfamily(B)),1),k2_xfamily(B)) ) ) )).
fof(fraenkel_a_0_11_dtconstr,axiom,( ! [A] : ( r2_hidden(A,a_0_11_dtconstr) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k5_dtconstr)) & A = B & ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & r1_lang1(k5_dtconstr,B,C) ) ) ) )).
fof(fraenkel_a_0_11_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_11_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k17_euclid(B)) & ~ r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_0_11_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_11_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( k17_euclid(B) = k5_numbers & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = 1 ) ) ) ) )).
fof(fraenkel_a_0_12_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_12_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr))) & A = B & r1_xxreal_0(k2_xfamily(B),k6_xcmplx_0(1,k3_xcmplx_0(2,k1_xfamily(B)))) ) ) )).
fof(fraenkel_a_0_12_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_12_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(1,k12_euclid(B)) ) ) )).
fof(fraenkel_a_0_12_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_12_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = k5_numbers ) | ( k17_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) ) ) )).
fof(fraenkel_a_0_13_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_13_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr))) & A = B & r1_xxreal_0(k6_xcmplx_0(1,k3_xcmplx_0(2,k1_xfamily(B))),k2_xfamily(B)) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2,k1_xfamily(B)),1),k2_xfamily(B)) ) ) )).
fof(fraenkel_a_0_13_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_13_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_13_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_13_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k4_xcmplx_0(1) = k17_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k4_xcmplx_0(1) = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) & ~ ( 1 = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) ) ) ) )).
fof(fraenkel_a_0_14_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_14_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr))) & A = B & r1_xxreal_0(k2_xfamily(B),k6_xcmplx_0(k3_xcmplx_0(2,k1_xfamily(B)),1)) ) ) )).
fof(fraenkel_a_0_14_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_14_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_14_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_14_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k17_euclid(B) = k4_xcmplx_0(1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k18_euclid(B) = 1 & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k18_euclid(B) = k4_xcmplx_0(1) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) ) ) ) )).
fof(fraenkel_a_0_15_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_15_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr))) & A = B & k2_xfamily(B) = k6_xcmplx_0(1,k3_xcmplx_0(2,k1_xfamily(B))) ) ) )).
fof(fraenkel_a_0_15_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_15_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) ) ) )).
fof(fraenkel_a_0_15_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_15_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_15_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_15_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k17_euclid(B) = k4_xcmplx_0(1) & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & k18_euclid(B) = 1 ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & k18_euclid(B) = k4_xcmplx_0(1) ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) ) ) ) ) )).
fof(fraenkel_a_0_16_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_16_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr))) & A = B & k2_xfamily(B) = k6_xcmplx_0(k3_xcmplx_0(2,k1_xfamily(B)),1) ) ) )).
fof(fraenkel_a_0_16_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_16_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)),k17_euclid(B)) ) | ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(k18_euclid(B))) ) ) ) ) )).
fof(fraenkel_a_0_16_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_16_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) ) ) )).
fof(fraenkel_a_0_16_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_16_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(k5_algstr_0(k15_euclid(2),B,k19_euclid(k5_numbers,k5_numbers))) = 1 ) ) )).
fof(fraenkel_a_0_17_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_17_borsuk_6) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_17_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_17_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) | ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) ) ) )).
fof(fraenkel_a_0_17_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_17_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k17_euclid(B) = k4_xcmplx_0(1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k4_xcmplx_0(1) = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) & ~ ( 1 = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) ) ) ) )).
fof(fraenkel_a_0_18_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_18_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(k18_euclid(B))) ) ) )).
fof(fraenkel_a_0_19_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_19_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)),k17_euclid(B)) ) ) )).
fof(fraenkel_a_0_1_abcmiz_1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_abcmiz_1) <=> ? [B] : ? [C] : ( m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(k1_abcmiz_1(B),C) & v1_finset_1(B) ) ) )).
fof(fraenkel_a_0_1_ami_5,axiom,( ! [A] : ( r2_hidden(A,a_0_1_ami_5) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & m1_subset_1(D,k8_struct_0(k1_ami_3)) & A = k3_xtuple_0(B,k9_finseq_1(C),k12_finseq_1(k8_struct_0(k1_ami_3),D)) & r2_tarski(B,k7_domain_1(k4_ordinal1,7,8)) ) ) )).
fof(fraenkel_a_0_1_arytm_0,axiom,( ! [A] : ( r2_hidden(A,a_0_1_arytm_0) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(B,C) & r1_arytm_3(B,C) & C != k11_arytm_3 ) ) )).
fof(fraenkel_a_0_1_arytm_2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_arytm_2) <=> ? [B] : ( m1_subset_1(B,k5_arytm_3) & A = a_1_0_arytm_2(B) & B != k11_arytm_3 ) ) )).
fof(fraenkel_a_0_1_arytm_3,axiom,( ! [A] : ( r2_hidden(A,a_0_1_arytm_3) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,1) ) ) )).
fof(fraenkel_a_0_1_asympt_1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_asympt_1) <=> ? [B] : ( m2_funct_2(B,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = B & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(E,F) => ( r1_xxreal_0(k3_xcmplx_0(D,k8_nat_1(k1_numbers,k4_asympt_1(1),F)),k8_nat_1(k1_numbers,B,F)) & r1_xxreal_0(k8_nat_1(k1_numbers,B,F),k3_xcmplx_0(C,k8_nat_1(k1_numbers,k4_asympt_1(1),F))) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_0_1_borsuk_2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_borsuk_2) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_1_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_1_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) ) ) )).
fof(fraenkel_a_0_1_comput_1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_comput_1) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k5_comput_1(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) )).
fof(fraenkel_a_0_1_entropy1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_entropy1) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_1_euclid_6,axiom,( ! [A] : ( r2_hidden(A,a_0_1_euclid_6) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_1_euler_1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_euler_1) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = B & r1_int_2(2,B) & r1_xxreal_0(1,B) & r1_xxreal_0(B,2) ) ) )).
fof(fraenkel_a_0_1_fib_num2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_fib_num2) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k1_nat_1(k2_nat_1(2,B),1) ) ) )).
fof(fraenkel_a_0_1_gaussint,axiom,( ! [A] : ( r2_hidden(A,a_0_1_gaussint) <=> ? [B] : ( v1_xcmplx_0(B) & v4_gaussint(B) & A = B ) ) )).
fof(fraenkel_a_0_1_hilbert3,axiom,( ! [A] : ( r2_hidden(A,a_0_1_hilbert3) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_numbers) & m1_subset_1(C,k4_numbers) & A = k5_funct_4(k4_numbers,k5_numbers,1,B,C) & ~ ( r1_xxreal_0(C,B) & ~ ( v1_abian(B) & B = C ) ) ) ) )).
fof(fraenkel_a_0_1_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)),k17_euclid(B)) ) | ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(k18_euclid(B))) ) ) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_1_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_1_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)),k17_euclid(B)) ) | ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(k18_euclid(B))) ) ) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_1_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_1_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k5_numbers,k17_euclid(B)) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_1_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_1_jgraph_5) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_1_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_1_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k12_euclid(B),1) ) ) )).
fof(fraenkel_a_0_1_jordan2c,axiom,( ! [A] : ( r2_hidden(A,a_0_1_jordan2c) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k7_xcmplx_0(1,2),B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_1_jordan5b,axiom,( ! [A] : ( r2_hidden(A,a_0_1_jordan5b) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k7_xcmplx_0(1,2),B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_1_lattice8,axiom,( ! [A] : ( r2_hidden(A,a_0_1_lattice8) <=> ? [B] : ( v7_ordinal1(B) & A = B & r1_xxreal_0(1,B) & r1_xxreal_0(B,4) ) ) )).
fof(fraenkel_a_0_1_modelc_2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_modelc_2) <=> ? [B] : ( m1_subset_1(B,k30_modelc_1(k25_modelc_2(k43_modelc_2))) & A = B & ? [C] : B = k45_modelc_2(C) ) ) )).
fof(fraenkel_a_0_1_msualg_7,axiom,( ! [A] : ( r2_hidden(A,a_0_1_msualg_7) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k7_xcmplx_0(1,2)) & ~ r1_xxreal_0(1,B) ) ) )).
fof(fraenkel_a_0_1_nat_4,axiom,( ! [A] : ( r2_hidden(A,a_0_1_nat_4) <=> ? [B] : ( v1_int_2(B) & m1_subset_1(B,k4_ordinal1) & A = B & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_1_neckla_2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_neckla_2) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,k1_nat_1(B,1)) & ~ r1_xxreal_0(4,k1_nat_1(B,1)) ) ) )).
fof(fraenkel_a_0_1_numbers,axiom,( ! [A] : ( r2_hidden(A,a_0_1_numbers) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(B,C) & r1_arytm_3(B,C) & C != k11_arytm_3 ) ) )).
fof(fraenkel_a_0_1_numeral2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_numeral2) <=> ? [B] : ( v7_ordinal1(B) & A = B & ~ v1_abian(B) ) ) )).
fof(fraenkel_a_0_1_quaterni,axiom,( ! [A] : ( r2_hidden(A,a_0_1_quaterni) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(B,C) & r1_arytm_3(B,C) & C != k11_arytm_3 ) ) )).
fof(fraenkel_a_0_1_rat_1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_rat_1) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,1) ) ) )).
fof(fraenkel_a_0_1_rfunct_3,axiom,( ! [A] : ( r2_hidden(A,a_0_1_rfunct_3) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) ) ) )).
fof(fraenkel_a_0_1_scm_comp,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scm_comp) <=> ? [B] : ( v7_ordinal1(B) & A = B & ~ r1_xxreal_0(5,B) ) ) )).
fof(fraenkel_a_0_1_scm_inst,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scm_inst) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & m1_subset_1(D,k2_scm_inst) & A = k3_xtuple_0(B,k9_finseq_1(C),k12_finseq_1(k2_scm_inst,D)) & r2_tarski(B,k7_domain_1(k4_ordinal1,7,8)) ) ) )).
fof(fraenkel_a_0_1_scmfsa_i,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scmfsa_i) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(13)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k1_scmfsa_i) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k2_tarski(11,12)) ) ) )).
fof(fraenkel_a_0_1_scmpds_2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scmpds_2) <=> ? [B] : ( m1_subset_1(B,k4_numbers) & A = k3_xtuple_0(14,k1_xboole_0,k9_finseq_1(B)) ) ) )).
fof(fraenkel_a_0_1_scmpds_i,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scmpds_i) <=> ? [B] : ( m1_subset_1(B,k2_scm_inst) & A = k3_xtuple_0(1,k1_xboole_0,k12_finseq_1(k2_scm_inst,B)) ) ) )).
fof(fraenkel_a_0_1_scmring2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scmring2) <=> ? [B] : ? [C] : ? [D] : ( m1_subset_1(B,k5_card_1(8)) & m1_subset_1(C,k8_struct_0(k1_ami_3)) & m1_subset_1(D,k8_struct_0(k1_ami_3)) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k9_domain_1(k4_ordinal1,1,2,3,4)) ) ) )).
fof(fraenkel_a_0_1_scmring3,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scmring3) <=> ? [B] : ( v7_ordinal1(B) & A = k3_xtuple_0(6,k9_finseq_1(B),k1_xboole_0) ) ) )).
fof(fraenkel_a_0_1_scmringi,axiom,( ! [A] : ( r2_hidden(A,a_0_1_scmringi) <=> ? [B] : ( v7_ordinal1(B) & A = k3_xtuple_0(6,k9_finseq_1(B),k1_xboole_0) ) ) )).
fof(fraenkel_a_0_1_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_1_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))) & ~ r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,4),B) ) ) )).
fof(fraenkel_a_0_1_srings_2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_srings_2) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & A = B & v4_measure5(B) ) ) )).
fof(fraenkel_a_0_1_topgen_4,axiom,( ! [A] : ( r2_hidden(A,a_0_1_topgen_4) <=> ? [B] : ( m1_subset_1(B,k3_numbers) & A = k6_domain_1(k3_numbers,B) & ? [C] : ( m1_subset_1(C,k3_numbers) & C = B ) ) ) )).
fof(fraenkel_a_0_1_topgen_5,axiom,( ! [A] : ( r2_hidden(A,a_0_1_topgen_5) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k19_euclid(B,C) & r1_xxreal_0(k5_numbers,C) ) ) )).
fof(fraenkel_a_0_1_topgen_6,axiom,( ! [A] : ( r2_hidden(A,a_0_1_topgen_6) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k3_rcomp_1(B,C) & ~ r1_xxreal_0(C,B) & v1_rat_1(C) ) ) )).
fof(fraenkel_a_0_1_topmetr2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_topmetr2) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,k7_xcmplx_0(1,2)) ) ) )).
fof(fraenkel_a_0_1_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = 1 ) ) )).
fof(fraenkel_a_0_1_uniroots,axiom,( ! [A] : ( r2_hidden(A,a_0_1_uniroots) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k1_uniroots(k1_complfld))) & A = B & r1_nat_d(k6_group_1(k1_uniroots(k1_complfld),B),1) ) ) )).
fof(fraenkel_a_0_1_urysohn2,axiom,( ! [A] : ( r2_hidden(A,a_0_1_urysohn2) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_20_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_20_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ( ( r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)),k17_euclid(B)) ) | ( r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(k18_euclid(B))) ) ) ) ) )).
fof(fraenkel_a_0_2_abcmiz_1,axiom,( ! [A] : ( r2_hidden(A,a_0_2_abcmiz_1) <=> ? [B] : ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) & A = k1_abcmiz_1(B) ) ) )).
fof(fraenkel_a_0_2_ami_5,axiom,( ! [A] : ( r2_hidden(A,a_0_2_ami_5) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & m1_subset_1(C,k8_struct_0(k1_ami_3)) & m1_subset_1(D,k8_struct_0(k1_ami_3)) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k10_domain_1(k4_ordinal1,1,2,3,4,5)) ) ) )).
fof(fraenkel_a_0_2_arytm_0,axiom,( ! [A] : ( r2_hidden(A,a_0_2_arytm_0) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,1) ) ) )).
fof(fraenkel_a_0_2_arytm_2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_arytm_2) <=> ? [B] : ( m1_subset_1(B,k5_arytm_3) & A = B & ~ r3_arytm_3(k12_arytm_3,B) ) ) )).
fof(fraenkel_a_0_2_asympt_1,axiom,( ! [A] : ( r2_hidden(A,a_0_2_asympt_1) <=> ? [B] : ( m2_funct_2(B,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = B & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(E,F) => ( r1_xxreal_0(k3_xcmplx_0(D,k8_nat_1(k1_numbers,k3_asympt_1(1),F)),k8_nat_1(k1_numbers,B,F)) & r1_xxreal_0(k8_nat_1(k1_numbers,B,F),k3_xcmplx_0(C,k8_nat_1(k1_numbers,k3_asympt_1(1),F))) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_0_2_borsuk_2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_borsuk_2) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k7_xcmplx_0(1,2),B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_2_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_2_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2,k17_euclid(B)),1),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_2_cat_7,axiom,( ! [A] : ( r2_hidden(A,a_0_2_cat_7) <=> ? [B] : ? [C] : ( m1_subset_1(B,2) & m1_subset_1(C,2) & A = k4_tarski(B,C) & r2_tarski(B,C) ) ) )).
fof(fraenkel_a_0_2_collsp,axiom,( ! [A] : ( r2_hidden(A,a_0_2_collsp) <=> ? [B] : ? [C] : ? [D] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) & A = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,B,C,D) & ~ ( B != C & C != D & D != B ) & r2_tarski(B,k8_domain_1(k4_ordinal1,1,2,3)) & r2_tarski(C,k8_domain_1(k4_ordinal1,1,2,3)) & r2_tarski(D,k8_domain_1(k4_ordinal1,1,2,3)) ) ) )).
fof(fraenkel_a_0_2_entropy1,axiom,( ! [A] : ( r2_hidden(A,a_0_2_entropy1) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(1,B) ) ) )).
fof(fraenkel_a_0_2_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k17_euclid(B)) & ~ r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_2_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_2_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k4_xcmplx_0(1) = k17_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k4_xcmplx_0(1) = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) & ~ ( 1 = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) ) ) ) )).
fof(fraenkel_a_0_2_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_2_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k5_numbers,k18_euclid(B)) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_2_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_2_jgraph_5) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_2_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_2_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_2_jordan2c,axiom,( ! [A] : ( r2_hidden(A,a_0_2_jordan2c) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,k7_xcmplx_0(1,2)) ) ) )).
fof(fraenkel_a_0_2_jordan5b,axiom,( ! [A] : ( r2_hidden(A,a_0_2_jordan5b) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_2_msualg_7,axiom,( ! [A] : ( r2_hidden(A,a_0_2_msualg_7) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_2_nat_4,axiom,( ! [A] : ( r2_hidden(A,a_0_2_nat_4) <=> ? [B] : ( v1_int_2(B) & m1_subset_1(B,k4_ordinal1) & A = B & r1_xxreal_0(B,2) ) ) )).
fof(fraenkel_a_0_2_neckla_2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_neckla_2) <=> ? [B] : ( m2_subset_1(B,k3_neckla_2,k4_neckla_2) & A = B & v7_struct_0(B) & l1_orders_2(B) ) ) )).
fof(fraenkel_a_0_2_necklace,axiom,( ! [A] : ( r2_hidden(A,a_0_2_necklace) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,k1_nat_1(B,1)) & ~ r1_xxreal_0(4,k1_nat_1(B,1)) ) ) )).
fof(fraenkel_a_0_2_numbers,axiom,( ! [A] : ( r2_hidden(A,a_0_2_numbers) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,1) ) ) )).
fof(fraenkel_a_0_2_quaterni,axiom,( ! [A] : ( r2_hidden(A,a_0_2_quaterni) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,1) ) ) )).
fof(fraenkel_a_0_2_scm_inst,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scm_inst) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k2_scm_inst) & A = k3_xtuple_0(B,k1_xboole_0,k2_finseq_4(k2_scm_inst,C,D)) & r2_tarski(B,k10_domain_1(k4_ordinal1,1,2,3,4,5)) ) ) )).
fof(fraenkel_a_0_2_scmfsa_2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scmfsa_2) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(13)) & m2_subset_1(C,k1_scmfsa_1,k2_scmfsa_1) & m2_subset_1(D,k1_scmfsa_1,k3_scmfsa_1) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k2_tarski(11,12)) ) ) )).
fof(fraenkel_a_0_2_scmfsa_i,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scmfsa_i) <=> ? [B] : ( m1_subset_1(B,k2_scm_inst) & A = k3_xtuple_0(13,k1_xboole_0,k12_finseq_1(k2_scm_inst,B)) ) ) )).
fof(fraenkel_a_0_2_scmpds_2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scmpds_2) <=> ? [B] : ( m2_subset_1(B,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(1,k1_xboole_0,k12_finseq_1(k2_ami_2,B)) ) ) )).
fof(fraenkel_a_0_2_scmpds_i,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scmpds_i) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(15)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k4_numbers) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k2_tarski(2,3)) ) ) )).
fof(fraenkel_a_0_2_scmring2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scmring2) <=> ? [B] : ( v7_ordinal1(B) & A = k3_xtuple_0(6,k9_finseq_1(B),k1_xboole_0) ) ) )).
fof(fraenkel_a_0_2_scmring3,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scmring3) <=> ? [B] : ? [C] : ( v7_ordinal1(B) & m1_subset_1(C,k8_struct_0(k1_ami_3)) & A = k3_xtuple_0(7,k9_finseq_1(B),k9_finseq_1(C)) ) ) )).
fof(fraenkel_a_0_2_scmringi,axiom,( ! [A] : ( r2_hidden(A,a_0_2_scmringi) <=> ? [B] : ? [C] : ( v7_ordinal1(B) & m1_subset_1(C,k2_scm_inst) & A = k3_xtuple_0(7,k9_finseq_1(B),k12_finseq_1(k2_scm_inst,C)) ) ) )).
fof(fraenkel_a_0_2_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_2_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),B) & r1_xxreal_0(B,k7_xcmplx_0(k28_sin_cos,4)) ) ) )).
fof(fraenkel_a_0_2_srings_2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_srings_2) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & A = B & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,C) & ! [E] : ( v1_xreal_0(E) => ( r2_tarski(E,B) <=> ( ~ r1_xxreal_0(E,C) & r1_xxreal_0(E,D) ) ) ) ) ) ) ) )).
fof(fraenkel_a_0_2_topgen_5,axiom,( ! [A] : ( r2_hidden(A,a_0_2_topgen_5) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k2_rcomp_1(B,C) & ~ r1_xxreal_0(C,B) ) ) )).
fof(fraenkel_a_0_2_topgen_6,axiom,( ! [A] : ( r2_hidden(A,a_0_2_topgen_6) <=> ? [B] : ? [C] : ( v1_rat_1(B) & v1_rat_1(C) & A = k2_rcomp_1(B,C) ) ) )).
fof(fraenkel_a_0_2_topmetr2,axiom,( ! [A] : ( r2_hidden(A,a_0_2_topmetr2) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k7_xcmplx_0(1,2),B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_2_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_2_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = k5_numbers ) ) )).
fof(fraenkel_a_0_2_toprealb,axiom,( ! [A] : ( r2_hidden(A,a_0_2_toprealb) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r2_tarski(B,u1_struct_0(k11_toprealb(k9_toprealb))) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_2_trees_1,axiom,( ! [A] : ( r2_hidden(A,a_0_2_trees_1) <=> ? [B] : ( v7_ordinal1(B) & A = k9_finseq_1(B) & ~ r1_xxreal_0(k5_numbers,B) ) ) )).
fof(fraenkel_a_0_3_abcmiz_a,axiom,( ! [A] : ( r2_hidden(A,a_0_3_abcmiz_a) <=> ? [B] : ? [C] : ( m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(k1_abcmiz_1(B),C) & v1_finset_1(B) ) ) )).
fof(fraenkel_a_0_3_ami_3,axiom,( ! [A] : ( r2_hidden(A,a_0_3_ami_3) <=> ? [B] : ? [C] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & A = k3_xtuple_0(B,k9_finseq_1(C),k1_xboole_0) & B = 6 ) ) )).
fof(fraenkel_a_0_3_arytm_0,axiom,( ! [A] : ( r2_hidden(A,a_0_3_arytm_0) <=> ? [B] : ( m2_funct_2(B,k2_tarski(k5_numbers,1),k1_numbers,k9_funct_2(k2_tarski(k5_numbers,1),k1_numbers)) & A = B & k1_funct_1(B,1) = k5_numbers ) ) )).
fof(fraenkel_a_0_3_arytm_2,axiom,( ! [A] : ( r2_hidden(A,a_0_3_arytm_2) <=> ? [B] : ? [C] : ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & A = k4_tarski(B,C) & r1_arytm_3(B,C) & C != k11_arytm_3 ) ) )).
fof(fraenkel_a_0_3_asympt_1,axiom,( ! [A] : ( r2_hidden(A,a_0_3_asympt_1) <=> ? [B] : ( m2_funct_2(B,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = B & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(E,F) => ( r1_xxreal_0(k3_xcmplx_0(D,k8_nat_1(k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k3_asympt_1(1),k1_seq_1(1)),F)),k8_nat_1(k1_numbers,B,F)) & r1_xxreal_0(k8_nat_1(k1_numbers,B,F),k3_xcmplx_0(C,k8_nat_1(k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k3_asympt_1(1),k1_seq_1(1)),F))) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_0_3_borsuk_2,axiom,( ! [A] : ( r2_hidden(A,a_0_3_borsuk_2) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,k7_xcmplx_0(1,2)) ) ) )).
fof(fraenkel_a_0_3_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_3_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_3_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_3_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k4_xcmplx_0(1) = k17_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) & ~ ( k4_xcmplx_0(1) = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) & ~ ( 1 = k18_euclid(B) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) ) ) ) ) )).
fof(fraenkel_a_0_3_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_3_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 ) ) )).
fof(fraenkel_a_0_3_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_3_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k5_numbers) & B != k4_struct_0(k15_euclid(2)) ) ) )).
fof(fraenkel_a_0_3_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_3_jgraph_5) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_3_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_3_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_3_msualg_7,axiom,( ! [A] : ( r2_hidden(A,a_0_3_msualg_7) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k7_xcmplx_0(1,2),B) ) ) )).
fof(fraenkel_a_0_3_necklace,axiom,( ! [A] : ( r2_hidden(A,a_0_3_necklace) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(k1_nat_1(B,1),B) & ~ r1_xxreal_0(4,k1_nat_1(B,1)) ) ) )).
fof(fraenkel_a_0_3_numbers,axiom,( ! [A] : ( r2_hidden(A,a_0_3_numbers) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_arytm_3)) & A = B & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ( r2_tarski(C,B) => ( ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( r3_arytm_3(D,C) => r2_tarski(D,B) ) ) & ? [D] : ( m1_subset_1(D,k5_arytm_3) & r2_tarski(D,B) & ~ r3_arytm_3(D,C) ) ) ) ) ) ) )).
fof(fraenkel_a_0_3_quaterni,axiom,( ! [A] : ( r2_hidden(A,a_0_3_quaterni) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_arytm_3)) & A = B & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ( r2_tarski(C,B) => ( ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( r3_arytm_3(D,C) => r2_tarski(D,B) ) ) & ? [D] : ( m1_subset_1(D,k5_arytm_3) & r2_tarski(D,B) & ~ r3_arytm_3(D,C) ) ) ) ) ) ) )).
fof(fraenkel_a_0_3_scmfsa_2,axiom,( ! [A] : ( r2_hidden(A,a_0_3_scmfsa_2) <=> ? [B] : ? [C] : ? [D] : ? [E] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(13)) & m2_subset_1(C,k1_scmfsa_1,k2_scmfsa_1) & m2_subset_1(D,k1_scmfsa_1,k2_scmfsa_1) & m2_subset_1(E,k1_scmfsa_1,k3_scmfsa_1) & A = k3_xtuple_0(B,k1_xboole_0,k11_finseq_1(D,E,C)) & r2_tarski(B,k2_tarski(9,10)) ) ) )).
fof(fraenkel_a_0_3_scmpds_2,axiom,( ! [A] : ( r2_hidden(A,a_0_3_scmpds_2) <=> ? [B] : ? [C] : ? [D] : ( m1_subset_1(B,k5_card_1(15)) & m2_subset_1(C,k1_ami_2,k2_ami_2) & m1_subset_1(D,k4_numbers) & A = k3_xtuple_0(B,k1_xboole_0,k3_scmpds_1(C,D)) & r2_tarski(B,k2_tarski(2,3)) ) ) )).
fof(fraenkel_a_0_3_scmpds_i,axiom,( ! [A] : ( r2_hidden(A,a_0_3_scmpds_i) <=> ? [B] : ? [C] : ? [D] : ? [E] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(15)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k4_numbers) & m1_subset_1(E,k4_numbers) & A = k3_xtuple_0(B,k1_xboole_0,k11_finseq_1(C,D,E)) & r2_tarski(B,k3_enumset1(4,5,6,7,8)) ) ) )).
fof(fraenkel_a_0_3_scmring2,axiom,( ! [A] : ( r2_hidden(A,a_0_3_scmring2) <=> ? [B] : ? [C] : ( v7_ordinal1(B) & m1_subset_1(C,k8_struct_0(k1_ami_3)) & A = k3_xtuple_0(7,k9_finseq_1(B),k9_finseq_1(C)) ) ) )).
fof(fraenkel_a_0_3_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_3_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,B) ) ) )).
fof(fraenkel_a_0_3_srings_2,axiom,( ! [A] : ( r2_hidden(A,a_0_3_srings_2) <=> ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & A = B & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & r1_xxreal_0(C,D) & ! [E] : ( v1_xreal_0(E) => ( r2_tarski(E,B) <=> ( ~ r1_xxreal_0(E,C) & r1_xxreal_0(E,D) ) ) ) ) ) ) ) )).
fof(fraenkel_a_0_3_topgen_5,axiom,( ! [A] : ( r2_hidden(A,a_0_3_topgen_5) <=> ? [B] : ( v1_xreal_0(B) & A = k3_rcomp_1(k5_numbers,B) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_3_topgen_6,axiom,( ! [A] : ( r2_hidden(A,a_0_3_topgen_6) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k3_rcomp_1(B,C) & ~ r1_xxreal_0(C,B) ) ) )).
fof(fraenkel_a_0_3_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_3_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k17_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_3_toprealb,axiom,( ! [A] : ( r2_hidden(A,a_0_3_toprealb) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r2_tarski(B,u1_struct_0(k11_toprealb(k9_toprealb))) & r1_xxreal_0(k18_euclid(B),k5_numbers) ) ) )).
fof(fraenkel_a_0_4_ami_3,axiom,( ! [A] : ( r2_hidden(A,a_0_4_ami_3) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(B,k9_finseq_1(C),k12_finseq_1(k2_ami_2,D)) & r2_tarski(B,k2_tarski(7,8)) ) ) )).
fof(fraenkel_a_0_4_arytm_2,axiom,( ! [A] : ( r2_hidden(A,a_0_4_arytm_2) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,1) ) ) )).
fof(fraenkel_a_0_4_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_4_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k6_xcmplx_0(1,k3_xcmplx_0(2,k17_euclid(B))),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_4_comput_1,axiom,( ! [A] : ( r2_hidden(A,a_0_4_comput_1) <=> ? [B] : ( m2_rfunct_3(B,k3_finseq_2(k4_ordinal1),k4_ordinal1,k3_rfunct_3(k3_finseq_2(k4_ordinal1),k4_ordinal1)) & A = B & v2_margrel1(B) ) ) )).
fof(fraenkel_a_0_4_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_4_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) ) ) )).
fof(fraenkel_a_0_4_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_4_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) ) )).
fof(fraenkel_a_0_4_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_4_jgraph_5) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_4_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_4_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_4_msualg_7,axiom,( ! [A] : ( r2_hidden(A,a_0_4_msualg_7) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,2),B) ) ) )).
fof(fraenkel_a_0_4_numbers,axiom,( ! [A] : ( r2_hidden(A,a_0_4_numbers) <=> ? [B] : ( m1_subset_1(B,k4_ordinal1) & A = k4_tarski(B,k12_arytm_3) ) ) )).
fof(fraenkel_a_0_4_quaterni,axiom,( ! [A] : ( r2_hidden(A,a_0_4_quaterni) <=> ? [B] : ( m2_funct_2(B,k2_tarski(k5_numbers,1),k1_numbers,k9_funct_2(k2_tarski(k5_numbers,1),k1_numbers)) & A = B & k1_funct_1(B,1) = k5_numbers ) ) )).
fof(fraenkel_a_0_4_scmpds_2,axiom,( ! [A] : ( r2_hidden(A,a_0_4_scmpds_2) <=> ? [B] : ? [C] : ? [D] : ? [E] : ( m1_subset_1(B,k5_card_1(15)) & m2_subset_1(C,k1_ami_2,k2_ami_2) & m1_subset_1(D,k4_numbers) & m1_subset_1(E,k4_numbers) & A = k3_xtuple_0(B,k1_xboole_0,k11_finseq_1(C,D,E)) & r2_tarski(B,k3_enumset1(4,5,6,7,8)) ) ) )).
fof(fraenkel_a_0_4_scmpds_i,axiom,( ! [A] : ( r2_hidden(A,a_0_4_scmpds_i) <=> ? [B] : ? [C] : ? [D] : ? [E] : ? [F] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(15)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k2_scm_inst) & m1_subset_1(E,k4_numbers) & m1_subset_1(F,k4_numbers) & A = k3_xtuple_0(B,k1_xboole_0,k7_finseq_4(C,D,E,F)) & r2_tarski(B,k3_enumset1(9,10,11,12,13)) ) ) )).
fof(fraenkel_a_0_4_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_4_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k4_xcmplx_0(1),B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_4_topgen_5,axiom,( ! [A] : ( r2_hidden(A,a_0_4_topgen_5) <=> ? [B] : ( v1_xreal_0(B) & A = k4_rcomp_1(B,1) & r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(1,B) ) ) )).
fof(fraenkel_a_0_4_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_4_topreal1) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( ~ ( k17_euclid(B) = k5_numbers & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = 1 ) & ~ ( r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k5_numbers,k17_euclid(B)) & k18_euclid(B) = k5_numbers ) & ~ ( k17_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),1) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) ) ) )).
fof(fraenkel_a_0_4_toprealb,axiom,( ! [A] : ( r2_hidden(A,a_0_4_toprealb) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r2_tarski(B,u1_struct_0(k11_toprealb(k10_toprealb))) & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_4_trees_1,axiom,( ! [A] : ( r2_hidden(A,a_0_4_trees_1) <=> ? [B] : ( v7_ordinal1(B) & A = k9_finseq_1(B) & ~ r1_xxreal_0(1,B) ) ) )).
fof(fraenkel_a_0_5_ami_3,axiom,( ! [A] : ( r2_hidden(A,a_0_5_ami_3) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & m2_subset_1(C,k1_ami_2,k2_ami_2) & m2_subset_1(D,k1_ami_2,k2_ami_2) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k3_enumset1(1,2,3,4,5)) ) ) )).
fof(fraenkel_a_0_5_arytm_2,axiom,( ! [A] : ( r2_hidden(A,a_0_5_arytm_2) <=> ? [B] : ( m1_subset_1(B,k5_arytm_3) & A = B & ~ r3_arytm_3(k11_arytm_3,B) ) ) )).
fof(fraenkel_a_0_5_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_5_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_5_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_5_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_5_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_5_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k12_euclid(B),1) ) ) )).
fof(fraenkel_a_0_5_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_5_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),k5_numbers) ) ) )).
fof(fraenkel_a_0_5_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_5_jgraph_5) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(1,k12_euclid(B)) ) ) )).
fof(fraenkel_a_0_5_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_5_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_5_numbers,axiom,( ! [A] : ( r2_hidden(A,a_0_5_numbers) <=> ? [B] : ( m2_funct_2(B,k2_tarski(k5_numbers,k12_arytm_3),k1_numbers,k9_funct_2(k2_tarski(k5_numbers,k12_arytm_3),k1_numbers)) & A = B & k1_funct_1(B,k12_arytm_3) = k5_numbers ) ) )).
fof(fraenkel_a_0_5_quaterni,axiom,( ! [A] : ( r2_hidden(A,a_0_5_quaterni) <=> ? [B] : ( m2_funct_2(B,2,k1_numbers,k9_funct_2(2,k1_numbers)) & A = B & k1_funct_1(B,1) = k5_numbers ) ) )).
fof(fraenkel_a_0_5_scmpds_2,axiom,( ! [A] : ( r2_hidden(A,a_0_5_scmpds_2) <=> ? [B] : ? [C] : ? [D] : ? [E] : ? [F] : ( m1_subset_1(B,k5_card_1(15)) & m2_subset_1(C,k1_ami_2,k2_ami_2) & m2_subset_1(D,k1_ami_2,k2_ami_2) & m1_subset_1(E,k4_numbers) & m1_subset_1(F,k4_numbers) & A = k3_xtuple_0(B,k1_xboole_0,k7_finseq_4(C,D,E,F)) & r2_tarski(B,k3_enumset1(9,10,11,12,13)) ) ) )).
fof(fraenkel_a_0_5_scmpds_i,axiom,( ! [A] : ( r2_hidden(A,a_0_5_scmpds_i) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(15)) & m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,k4_numbers) & A = k3_xtuple_0(B,k1_xboole_0,k2_scmpds_i(C,D)) & r2_tarski(B,k2_tarski(2,3)) ) ) )).
fof(fraenkel_a_0_5_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_5_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k7_xcmplx_0(k28_sin_cos,4)) & ~ r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),B) ) ) )).
fof(fraenkel_a_0_5_topgen_5,axiom,( ! [A] : ( r2_hidden(A,a_0_5_topgen_5) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k2_rcomp_1(B,C) & r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(C,1) ) ) )).
fof(fraenkel_a_0_5_toprealb,axiom,( ! [A] : ( r2_hidden(A,a_0_5_toprealb) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r2_tarski(B,u1_struct_0(k11_toprealb(k10_toprealb))) & r1_xxreal_0(k18_euclid(B),k5_numbers) ) ) )).
fof(fraenkel_a_0_5_trees_1,axiom,( ! [A] : ( r2_hidden(A,a_0_5_trees_1) <=> ? [B] : ( v7_ordinal1(B) & A = k9_finseq_1(B) & ~ r1_xxreal_0(2,B) ) ) )).
fof(fraenkel_a_0_6_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_6_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k6_xcmplx_0(1,k3_xcmplx_0(2,k17_euclid(B)))) ) ) )).
fof(fraenkel_a_0_6_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_6_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_6_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_6_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_6_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_6_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k5_numbers,k17_euclid(B)) ) ) )).
fof(fraenkel_a_0_6_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_6_jgraph_5) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 ) ) )).
fof(fraenkel_a_0_6_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_6_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k17_euclid(B)) & ~ r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_6_numbers,axiom,( ! [A] : ( r2_hidden(A,a_0_6_numbers) <=> ? [B] : ( m1_subset_1(B,k5_arytm_3) & A = a_1_1_numbers(B) & B != k5_numbers ) ) )).
fof(fraenkel_a_0_6_scmfsa_2,axiom,( ! [A] : ( r2_hidden(A,a_0_6_scmfsa_2) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & m1_subset_1(C,k2_ami_2) & m1_subset_1(D,k2_ami_2) & A = k3_xtuple_0(B,k1_xboole_0,k10_finseq_1(C,D)) & r2_tarski(B,k3_enumset1(1,2,3,4,5)) ) ) )).
fof(fraenkel_a_0_6_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_6_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,4),B) & r1_xxreal_0(B,k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)) ) ) )).
fof(fraenkel_a_0_7_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_7_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_7_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_7_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_7_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_7_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_7_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_7_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k5_numbers,k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_7_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_7_jgraph_5) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k4_xcmplx_0(1),B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_7_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_7_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ r1_xxreal_0(1,k12_euclid(B)) ) ) )).
fof(fraenkel_a_0_7_scmfsa_2,axiom,( ! [A] : ( r2_hidden(A,a_0_7_scmfsa_2) <=> ? [B] : ? [C] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & A = k3_xtuple_0(B,k9_finseq_1(C),k1_xboole_0) & B = 6 ) ) )).
fof(fraenkel_a_0_7_sin_cos9,axiom,( ! [A] : ( r2_hidden(A,a_0_7_sin_cos9) <=> ? [B] : ( v1_xreal_0(B) & A = B & ~ r1_xxreal_0(B,k5_numbers) ) ) )).
fof(fraenkel_a_0_8_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_8_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k6_xcmplx_0(1,k3_xcmplx_0(2,k17_euclid(B))),k18_euclid(B)) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2,k17_euclid(B)),1),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_8_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_8_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k4_xcmplx_0(k18_euclid(B)),k17_euclid(B)) ) ) )).
fof(fraenkel_a_0_8_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_8_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k17_euclid(B),k18_euclid(B)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(B)),k18_euclid(B)) ) ) )).
fof(fraenkel_a_0_8_jgraph_4,axiom,( ! [A] : ( r2_hidden(A,a_0_8_jgraph_4) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k18_euclid(B),k5_numbers) ) ) )).
fof(fraenkel_a_0_8_jgraph_5,axiom,( ! [A] : ( r2_hidden(A,a_0_8_jgraph_5) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_0_8_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_8_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ ( r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),1) ) ) ) )).
fof(fraenkel_a_0_8_scmfsa_2,axiom,( ! [A] : ( r2_hidden(A,a_0_8_scmfsa_2) <=> ? [B] : ? [C] : ? [D] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(9)) & v7_ordinal1(C) & m1_subset_1(D,k2_ami_2) & A = k3_xtuple_0(B,k9_finseq_1(C),k12_finseq_1(k2_ami_2,D)) & r2_tarski(B,k2_tarski(7,8)) ) ) )).
fof(fraenkel_a_0_8_topgen_5,axiom,( ! [A] : ( r2_hidden(A,a_0_8_topgen_5) <=> ? [B] : ? [C] : ( v1_xreal_0(B) & v1_xreal_0(C) & A = k3_rcomp_1(B,C) & ~ r1_xxreal_0(C,B) & v1_rat_1(C) ) ) )).
fof(fraenkel_a_0_9_borsuk_6,axiom,( ! [A] : ( r2_hidden(A,a_0_9_borsuk_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr))) & A = B & r1_xxreal_0(k2_xfamily(B),k6_xcmplx_0(1,k3_xcmplx_0(2,k1_xfamily(B)))) ) ) )).
fof(fraenkel_a_0_9_jgraph_2,axiom,( ! [A] : ( r2_hidden(A,a_0_9_jgraph_2) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & r1_xxreal_0(k17_euclid(B),k4_xcmplx_0(k18_euclid(B))) ) ) )).
fof(fraenkel_a_0_9_jgraph_3,axiom,( ! [A] : ( r2_hidden(A,a_0_9_jgraph_3) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & k12_euclid(B) = 1 & r1_xxreal_0(k18_euclid(B),k17_euclid(B)) & r1_xxreal_0(k18_euclid(B),k4_xcmplx_0(k17_euclid(B))) ) ) )).
fof(fraenkel_a_0_9_jgraph_6,axiom,( ! [A] : ( r2_hidden(A,a_0_9_jgraph_6) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & A = B & ~ r1_xxreal_0(k12_euclid(B),1) ) ) )).
fof(fraenkel_a_0_9_topreal1,axiom,( ! [A] : ( r2_hidden(A,a_0_9_topreal1) <=> ? [B] : ( v1_xreal_0(B) & A = B & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) )).
fof(fraenkel_a_10_0_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & v5_relat_1(H,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(D,E),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,E),k1_numbers))) & m1_subset_1(I,E) & m1_subset_1(J,B) & m1_subset_1(K,D) ) => ( r2_hidden(A,a_10_0_lfuzzy_0(B,C,D,E,F,G,H,I,J,K)) <=> ? [L] : ( m1_subset_1(L,C) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,C,F,J,L),k8_lfuzzy_0(C,D,G,L,K)),k8_lfuzzy_0(D,E,H,K,I)) ) ) ) )).
fof(fraenkel_a_10_1_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & v5_relat_1(H,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(D,E),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,E),k1_numbers))) & m1_subset_1(I,E) & m1_subset_1(J,B) & m1_subset_1(K,C) ) => ( r2_hidden(A,a_10_1_lfuzzy_0(B,C,D,E,F,G,H,I,J,K)) <=> ? [L] : ( m1_subset_1(L,D) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,C,F,J,K),k8_lfuzzy_0(C,D,G,K,L)),k8_lfuzzy_0(D,E,H,L,I)) ) ) ) )).
fof(fraenkel_a_1_0_abcmiz_1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_abcmiz_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_abcmiz_1(C) ) ) )).
fof(fraenkel_a_1_0_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_0_abcmiz_a(B)) <=> ? [C] : ( v2_abcmiz_1(C,B) & m1_subset_1(C,u4_struct_0(B)) & A = C ) ) ) )).
fof(fraenkel_a_1_0_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( r2_hidden(A,a_1_0_afinsq_1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r1_xxreal_0(k4_card_1(B),C) ) ) ) )).
fof(fraenkel_a_1_0_afproj,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(B) & v1_diraf(B) & l1_analoaf(B) ) => ( r2_hidden(A,a_1_0_afproj(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v1_aff_1(C,B) ) ) ) )).
fof(fraenkel_a_1_0_algstr_4,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_algstr_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k14_algstr_4(B))) & A = k1_xfamily(C) & k15_algstr_4(B,C) = 1 ) ) )).
fof(fraenkel_a_1_0_ami_6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_ami_3)) => ( r2_hidden(A,a_1_0_ami_6(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_amistd_1(k5_card_1(2),k1_ami_3,C,B) ) ) ) )).
fof(fraenkel_a_1_0_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r2_hidden(A,a_1_0_aofa_000(B)) <=> ? [C] : ( m5_margrel1(C,u1_struct_0(B),k1_unialg_2(B)) & A = k2_relset_1(u1_struct_0(B),C) ) ) ) )).
fof(fraenkel_a_1_0_armstrng,axiom,( ! [A] : ! [B] : ( l1_armstrng(B) => ( r2_hidden(A,a_1_0_armstrng(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_armstrng(B))) & m1_subset_1(D,k1_zfmisc_1(u1_armstrng(B))) & A = k4_tarski(C,D) & r2_armstrng(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_arytm_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_arytm_3) => ( r2_hidden(A,a_1_0_arytm_2(B)) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & A = C & ~ r3_arytm_3(B,C) ) ) ) )).
fof(fraenkel_a_1_0_arytm_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_arytm_3) => ( r2_hidden(A,a_1_0_arytm_3(B)) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & A = C & ~ r3_arytm_3(B,C) ) ) ) )).
fof(fraenkel_a_1_0_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_0_asympt_0(B)) <=> ? [C] : ( m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = C & ? [D] : ( v1_xreal_0(D) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & ~ r1_xxreal_0(D,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(E,F) => ( r1_xxreal_0(k8_nat_1(k1_numbers,C,F),k3_xcmplx_0(D,k8_nat_1(k1_numbers,B,F))) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,C,F)) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_0_asympt_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_0_asympt_1(B)) <=> ? [C] : ( m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = C & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(F,G) => ( r1_xxreal_0(k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,G)),k8_nat_1(k1_numbers,C,G)) & r1_xxreal_0(k8_nat_1(k1_numbers,C,G),k3_xcmplx_0(D,k8_nat_1(k1_numbers,B,G))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_0_axioms,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_axioms(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v16_waybel_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_bagorder(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(B))) & m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & A = k1_domain_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B)),C,D) & ( C = k1_xboole_0 | ( C != k1_xboole_0 & D != k1_xboole_0 & k11_bagorder(B,C) != k11_bagorder(B,D) & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),k11_bagorder(B,C),k11_bagorder(B,D)),u1_orders_2(B)) ) ) ) ) ) )).
fof(fraenkel_a_1_0_bcialg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( r2_hidden(A,a_1_0_bcialg_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & r1_bcialg_1(B,k4_struct_0(B),C) ) ) ) )).
fof(fraenkel_a_1_0_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( r2_hidden(A,a_1_0_bcialg_2(B)) <=> ? [C] : ( m1_bcialg_2(C,B) & A = C ) ) ) )).
fof(fraenkel_a_1_0_bciideal,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( r2_hidden(A,a_1_0_bciideal(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v10_bcialg_1(C,B) ) ) ) )).
fof(fraenkel_a_1_0_brouwer3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_0_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(B,1)))) & A = C & r1_xxreal_0(k5_numbers,k1_funct_1(C,k1_nat_1(B,1))) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_0_bspace,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_bspace(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & v3_card_1(C,1) ) ) )).
fof(fraenkel_a_1_0_bvfunc_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_bvfunc_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & ? [D] : ( C = k1_tarski(D) & r2_tarski(D,B) ) ) ) ) )).
fof(fraenkel_a_1_0_c0sp1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_c0sp1(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = C & v1_comseq_2(k2_partfun1(B,k1_numbers,C,B)) ) ) ) )).
fof(fraenkel_a_1_0_c0sp2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_c0sp2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v1_pscomp_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & A = C ) ) ) )).
fof(fraenkel_a_1_0_card_3,axiom,( ! [A] : ! [B] : ( v4_funct_1(B) => ( r2_hidden(A,a_1_0_card_3(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_0_card_4,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_card_4(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k12_finseq_1(B,C) ) ) ) )).
fof(fraenkel_a_1_0_card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( r2_hidden(A,a_1_0_card_5(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C & v1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_0_card_fil,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_card_fil(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & A = C & m1_card_fil(C,B) ) ) ) )).
fof(fraenkel_a_1_0_card_fin,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_0_card_fin(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v1_funct_1(C) & v1_funct_2(C,B,B) & v3_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) ) )).
fof(fraenkel_a_1_0_card_lar,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) ) => ( r2_hidden(A,a_1_0_card_lar(B)) <=> ? [C] : ( ~ v1_finset_1(C) & v1_card_1(C) & m1_subset_1(C,B) & A = C & v1_card_5(C) ) ) ) )).
fof(fraenkel_a_1_0_cardfin2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_cardfin2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & v3_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & ~ v2_abian(C) ) ) )).
fof(fraenkel_a_1_0_cat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_hidden(A,a_1_0_cat_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k2_cat_1(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_cat_6,axiom,( ! [A] : ! [B] : ( l1_cat_6(B) => ( r2_hidden(A,a_1_0_cat_6(B)) <=> ? [C] : ( m1_subset_1(C,k1_cat_6(B)) & A = C & v11_cat_6(C,B) & r2_tarski(C,k1_cat_6(B)) ) ) ) )).
fof(fraenkel_a_1_0_cat_7,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ( r2_hidden(A,a_1_0_cat_7(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k6_cat_6(B)) & m1_subset_1(D,k6_cat_6(B)) & A = k4_tarski(C,D) & ? [E] : ( m1_subset_1(E,k1_cat_6(B)) & r2_tarski(E,k1_cat_7(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_1_0_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_0_catalan2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(B,C))) = C & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_0_cayley,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_cayley(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & v3_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C ) ) )).
fof(fraenkel_a_1_0_cc0sp1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_cc0sp1(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) & A = C & v1_comseq_2(k2_partfun1(B,k2_numbers,C,B)) ) ) ) )).
fof(fraenkel_a_1_0_cc0sp2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_cc0sp2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k2_numbers) & v1_cc0sp2(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) & A = C ) ) ) )).
fof(fraenkel_a_1_0_circuit2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_0_circuit2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v1_msualg_2(C,B) ) ) ) )).
fof(fraenkel_a_1_0_closure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_1_0_closure2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_0_coh_sp,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_coh_sp(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & A = C & ~ v1_xboole_0(C) & v1_classes1(C) & v1_coh_sp(C) ) ) )).
fof(fraenkel_a_1_0_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( r2_hidden(A,a_1_0_cohsp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_tarski(B))) & A = C & ! [D] : ( m1_subset_1(D,B) => ? [E] : r1_tarski(k8_subset_1(k3_tarski(B),C,D),k1_tarski(E)) ) ) ) ) )).
fof(fraenkel_a_1_0_combgras,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_combgras(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & k1_card_1(C) = 1 ) ) ) )).
fof(fraenkel_a_1_0_compact1,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ( r2_hidden(A,a_1_0_compact1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = k2_xboole_0(C,k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),k2_struct_0(B))) & v3_pre_topc(C,B) & v2_compts_1(k3_subset_1(u1_struct_0(B),C),B) ) ) ) )).
fof(fraenkel_a_1_0_compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_1_0_compl_sp(B)) <=> ? [C] : ( v1_tops_2(C,k3_pcomps_1(B)) & v1_cantor_1(C,k3_pcomps_1(B)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B))))) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_0_complsp2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => ( r2_hidden(A,a_1_0_complsp2(B)) <=> ? [C] : ( m2_finseq_2(C,k2_numbers,k3_finseq_2(k2_numbers)) & A = C & k3_finseq_1(C) = k3_finseq_1(B) ) ) ) )).
fof(fraenkel_a_1_0_compos_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)))) => ( r2_hidden(A,a_1_0_compos_0(B)) <=> ? [C] : ( m1_subset_1(C,k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) & A = k2_compos_0(C) & k5_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)),C) = B ) ) ) )).
fof(fraenkel_a_1_0_comput_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) & v1_comput_1(B) ) => ( r2_hidden(A,a_1_0_comput_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_0_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) ) => ( r2_hidden(A,a_1_0_conlat_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u4_struct_0(B))) & A = g2_conlat_1(B,C,D) & ~ v4_conlat_1(g2_conlat_1(B,C,D),B) & k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),C) = D & k3_funct_2(k1_zfmisc_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),D) = C ) ) ) )).
fof(fraenkel_a_1_0_connsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_connsp_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v3_connsp_1(C,B) ) ) ) )).
fof(fraenkel_a_1_0_convfun1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_hidden(A,a_1_0_convfun1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_tarski(C,k4_finseq_1(B)) & k12_supinf_2(B,C) != k5_numbers ) ) ) )).
fof(fraenkel_a_1_0_cqc_lang,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_0_cqc_lang(B)) <=> ? [C] : ( m1_subset_1(C,k9_qc_lang1(B)) & A = C & k6_qc_lang3(B,C) = k1_xboole_0 & k5_qc_lang3(B,C) = k1_xboole_0 ) ) ) )).
fof(fraenkel_a_1_0_cqc_sim1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_0_cqc_sim1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_funct_1(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & m1_decomp_1(C,B) ) ) ) )).
fof(fraenkel_a_1_0_descip_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_0_descip_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_domain_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C ) ) ) )).
fof(fraenkel_a_1_0_ec_pf_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( r2_hidden(A,a_1_0_ec_pf_1(B)) <=> ? [C] : ? [D] : ( m2_subset_1(C,k3_zfmisc_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B))),k3_ec_pf_1(k9_int_3(B))) & m2_subset_1(D,k3_zfmisc_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B))),k3_ec_pf_1(k9_int_3(B))) & A = k1_domain_1(k3_ec_pf_1(k9_int_3(B)),k3_ec_pf_1(k9_int_3(B)),C,D) & r1_ec_pf_1(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_ec_pf_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) & v1_ec_pf_2(B,5) ) => ( r2_hidden(A,a_1_0_ec_pf_2(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) & A = k1_domain_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),C,D) & k4_ec_pf_1(B,C,D) != k4_struct_0(k9_int_3(B)) ) ) ) )).
fof(fraenkel_a_1_0_ens_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_ens_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k1_funct_2(C,D) ) ) ) )).
fof(fraenkel_a_1_0_eqrel_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_eqrel_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k6_domain_1(B,C) ) ) ) )).
fof(fraenkel_a_1_0_euclid_7,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_euclid_7(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k6_euclid_7(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_euclidlp,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_euclidlp(B)) <=> ? [C] : ? [D] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_finseq_2(D,k1_numbers,k1_euclid(B)) & A = k2_euclid_4(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_euler_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_euler_1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r1_int_2(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_euler_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_euler_2(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r1_int_2(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_fcont_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_fcont_3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_fdiff_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_fdiff_3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_0_filter_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k1_domain_1(u1_struct_0(B),u1_struct_0(B),C,D) & r3_lattices(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_fin_topo(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k1_fin_topo(B,C) ) ) ) )).
fof(fraenkel_a_1_0_finance1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_finance1(B)) <=> ? [C] : ( m1_subset_1(C,k6_numbers) & A = C & ~ r1_xxreal_0(C,k2_xxreal_0) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_finseq_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_finseq_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_finseq_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_finseq_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k12_finseq_1(B,C) ) ) ) )).
fof(fraenkel_a_1_0_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_0_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k8_funct_7(B,C) ) ) ) )).
fof(fraenkel_a_1_0_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_0_fomodel1(B)) <=> ? [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & A = C & v15_fomodel1(C,B) ) ) ) )).
fof(fraenkel_a_1_0_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_0_fomodel2(B)) <=> ? [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & A = C & ? [D] : ( v7_ordinal1(D) & v3_fomodel2(C,B,D) ) ) ) ) )).
fof(fraenkel_a_1_0_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_0_fomodel4(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(k30_fomodel2(B))) & v4_fomodel2(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & A = k1_domain_1(k1_zfmisc_1(k30_fomodel2(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),C,D) & v1_finset_1(C) ) ) ) )).
fof(fraenkel_a_1_0_frechet,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_frechet(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,k6_xcmplx_0(B,k7_xcmplx_0(1,4))) & ~ r1_xxreal_0(k2_xcmplx_0(B,k7_xcmplx_0(1,4)),C) ) ) ) )).
fof(fraenkel_a_1_0_funct_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_1_0_funct_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_0_funct_7,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_funct_7(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_0_goboard2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_goboard2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_goboard3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_goboard3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(1,k5_numbers)))) ) ) ) )).
fof(fraenkel_a_1_0_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C) ) ) ) )).
fof(fraenkel_a_1_0_goboard7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_goboard7(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_goboard9,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_goboard9(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),D) ) ) ) )).
fof(fraenkel_a_1_0_gobrd10,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_0_gobrd10(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_gobrd11(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_goboard5(k2_goboard2(B),C,D) & r1_xxreal_0(C,k3_finseq_1(k2_goboard2(B))) & r1_xxreal_0(D,k1_matrix_0(k2_goboard2(B))) ) ) ) )).
fof(fraenkel_a_1_0_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_gobrd12(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k2_pre_topc(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,B))),k4_connsp_3(k15_euclid(2),k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(B),C,D)),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,B)))) & r1_xxreal_0(C,k3_finseq_1(k2_goboard2(B))) & r1_xxreal_0(D,k1_matrix_0(k2_goboard2(B))) ) ) ) )).
fof(fraenkel_a_1_0_gobrd13,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_gobrd13(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) ) ) ) )).
fof(fraenkel_a_1_0_gobrd14,axiom,( ! [A] : ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_gobrd14(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r2_jordan2c(2,k3_topreal1(2,B),C) ) ) ) )).
fof(fraenkel_a_1_0_goedcpuc,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_0_goedcpuc(B)) <=> ? [C] : ? [D] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & A = k4_tarski(o_1_1_goedcpuc(B),k1_domain_1(k3_qc_lang1(B),k3_cqc_lang(B),D,C)) ) ) ) )).
fof(fraenkel_a_1_0_graph_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_graph_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(B,C) & r1_xxreal_0(C,k2_xcmplx_0(B,k5_numbers)) ) ) ) )).
fof(fraenkel_a_1_0_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( r2_hidden(A,a_1_0_graph_5(B)) <=> ? [C] : ( v7_graph_1(C,B) & v1_graph_4(C,B) & m2_graph_1(C,B) & A = C ) ) ) )).
fof(fraenkel_a_1_0_graphsp,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_graphsp(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ( r2_hidden(A,a_1_0_grcat_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k25_grcat_1(B))) & A = C & ? [D] : ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l2_algstr_0(D) & C = D ) ) ) ) )).
fof(fraenkel_a_1_0_group_18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_0_group_18(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k6_group_1(B,C) ) ) ) )).
fof(fraenkel_a_1_0_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_0_group_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),C) ) ) ) )).
fof(fraenkel_a_1_0_group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_0_group_4(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ? [D] : ( v15_algstr_0(D) & m1_group_2(D,B) & C = u1_struct_0(D) & v2_group_4(D,B) ) ) ) ) )).
fof(fraenkel_a_1_0_group_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_0_group_5(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k6_algstr_0(B,C,D) = k6_algstr_0(B,D,C) ) ) ) ) )).
fof(fraenkel_a_1_0_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_0_group_6(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k2_group_5(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_henmodel,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_henmodel(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_heyting3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_heyting3(B)) <=> ? [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(k4_ordinal1,k6_domain_1(k4_ordinal1,B)))) & A = C & ! [D] : ( r2_tarski(D,C) => v1_finset_1(D) ) & ! [D] : ( m1_subset_1(D,k4_partfun1(k4_ordinal1,k6_domain_1(k4_ordinal1,B))) => ! [E] : ( m1_subset_1(E,k4_partfun1(k4_ordinal1,k6_domain_1(k4_ordinal1,B))) => ( ( r2_tarski(D,C) & r2_tarski(E,C) & r1_tarski(D,E) ) => D = E ) ) ) ) ) ) )).
fof(fraenkel_a_1_0_hilbasis,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_hilbasis(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_hilbert4,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_hilbert4(B)) <=> ? [C] : ( m1_subset_1(C,k6_subset_1(B,k1_tarski(k1_xboole_0))) & A = k4_tarski(C,o_2_0_hilbert4(B,C)) & r2_tarski(C,k6_subset_1(B,k1_tarski(k1_xboole_0))) ) ) )).
fof(fraenkel_a_1_0_huffman1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_huffman1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_huffman1(B))) & A = C & v1_finset_1(C) & C != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_1_0_incproj,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_collsp(B) & v3_collsp(B) & v4_collsp(B) & l1_collsp(B) ) => ( r2_hidden(A,a_1_0_incproj(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & m1_incproj(C,B) ) ) ) )).
fof(fraenkel_a_1_0_int_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_int_4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_int_8,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_int_8(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r1_int_2(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_integra2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_1_0_integra2(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(k3_seq_4(B),C) & r1_xxreal_0(C,k2_seq_4(B)) ) ) ) )).
fof(fraenkel_a_1_0_jct_misc,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jct_misc(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_jgraph_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jgraph_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k7_xcmplx_0(k18_euclid(C),k12_euclid(C))) & r1_xxreal_0(k17_euclid(C),k5_numbers) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_0_jgraph_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jgraph_5(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r2_tarski(C,B) & r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k12_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_jgraph_8,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jgraph_8(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r1_jordan2c(2,B,C) ) ) ) )).
fof(fraenkel_a_1_0_jordan1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jordan1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_jordan10,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan10(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_jordan2c(2,k3_topreal1(2,k1_jordan9(B,C))) ) ) ) )).
fof(fraenkel_a_1_0_jordan11,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan11(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_pre_topc(k15_euclid(2),k1_jordan2c(2,k3_topreal1(2,k1_jordan9(B,C)))) ) ) ) )).
fof(fraenkel_a_1_0_jordan12,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jordan12(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan14,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan14(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r2_jordan2c(2,B,C) ) ) ) )).
fof(fraenkel_a_1_0_jordan1a,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jordan1a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(B) = k17_euclid(C) ) ) ) )).
fof(fraenkel_a_1_0_jordan1b,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan1b(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k5_numbers),2,1)),C) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k5_numbers),k1_nat_1(2,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k5_numbers),1,2)),D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k5_numbers),1,k1_nat_1(2,1)))) ) ) ) )).
fof(fraenkel_a_1_0_jordan1f,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jordan1f(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan1h,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & v1_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan1h(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan1i,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_jordan1i(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k18_pscomp_1(k3_topreal1(2,B)))),1,1)),C) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k18_pscomp_1(k3_topreal1(2,B)))),1,k1_jordan5d(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k18_pscomp_1(k3_topreal1(2,B))))))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k18_pscomp_1(k3_topreal1(2,B)))),1,k1_nat_1(k1_jordan5d(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k18_pscomp_1(k3_topreal1(2,B)))),1))),D) ) ) ) )).
fof(fraenkel_a_1_0_jordan1k,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jordan1k(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k12_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_jordan20,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jordan20(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = B ) ) ) )).
fof(fraenkel_a_1_0_jordan21,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jordan21(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(k17_euclid(B),C) & ~ r1_xxreal_0(C,k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan22,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan22(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_jordan21(k8_jordan6(k3_topreal1(2,k1_jordan9(B,C)))) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_0_jordan2b,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jordan2b(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_jordan2c,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jordan2c(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(1))) & A = C & ? [D] : ( v1_xreal_0(D) & C = k9_finseq_1(D) & ~ r1_xxreal_0(D,B) ) ) ) ) )).
fof(fraenkel_a_1_0_jordan3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jordan3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan4,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jordan4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan5b,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jordan5b(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(B,C) & r1_xxreal_0(C,1) ) ) ) )).
fof(fraenkel_a_1_0_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k18_euclid(C) & k17_euclid(C) = k6_pscomp_1(k3_topreal1(2,B)) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_jordan7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan7(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ( r1_jordan6(B,k22_pscomp_1(B),C) | ( r2_tarski(k22_pscomp_1(B),B) & C = k18_pscomp_1(B) ) ) ) ) ) )).
fof(fraenkel_a_1_0_jordan9,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_jordan9(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_jordan_a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),C,k18_pscomp_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_lagra4sq,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v1_abian(B) & v1_int_2(B) ) => ( r2_hidden(A,a_1_0_lagra4sq(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_lang1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_0_lang1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_0_laplace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_laplace(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_setwop_2(B),k2_setwop_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_setwop_2(B),k2_setwop_2(B)))) & A = C & v1_funct_1(C) & v1_funct_2(C,k2_setwop_2(B),k2_setwop_2(B)) & v3_funct_2(C,k2_setwop_2(B),k2_setwop_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_setwop_2(B),k2_setwop_2(B)))) ) ) ) )).
fof(fraenkel_a_1_0_lattad_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_0_lattad_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k4_tarski(C,D) & r1_lattices(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_0_lattice3(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k9_filter_1(B,B,C,D) & r3_lattices(B,C,D) ) ) ) )).
fof(fraenkel_a_1_0_lattice5,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_lattice5(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k2_zfmisc_1(C,C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_0_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_0_lattice6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v3_lattice6(C,B) ) ) ) )).
fof(fraenkel_a_1_0_lattice7,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_lattice7(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & C != k3_yellow_0(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( C = k13_lattice3(B,D,E) & C != D & C != E ) ) ) ) ) ) )).
fof(fraenkel_a_1_0_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_0_latticea(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v2_filter_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_limfunc1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_limfunc1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_limfunc2,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_limfunc2(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_limfunc3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_limfunc3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_lopclset(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v3_pre_topc(C,B) & v4_pre_topc(C,B) ) ) ) )).
fof(fraenkel_a_1_0_ltlaxio3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( r2_hidden(A,a_1_0_ltlaxio3(B)) <=> ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_0_ltlaxio4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => ( r2_hidden(A,a_1_0_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = k12_ltlaxio3(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_0_matrix11,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_matrix11(B)) <=> ? [C] : ( m1_matrix_1(C,k9_matrix_1(B)) & A = C & v6_matrix_1(C,k8_matrix_1(k9_matrix_1(B))) ) ) ) )).
fof(fraenkel_a_1_0_matrix13,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_matrix13(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_finseq_1(B))) & A = C & k4_card_1(C) = 2 ) ) ) )).
fof(fraenkel_a_1_0_matrix_7,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_matrix_7(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(B),k2_finseq_1(B)) & v3_funct_2(C,k2_finseq_1(B),k2_finseq_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B),k2_finseq_1(B)))) & A = k2_funct_2(k2_finseq_1(B),C) & r2_tarski(C,k6_finsub_1(k9_matrix_1(B))) ) ) ) )).
fof(fraenkel_a_1_0_matrixc1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_matrixc1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_1_0_matroid0,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_matroid0(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_tarski(B))) & A = C & ! [D] : ~ ( r2_tarski(D,B) & ! [E] : ~ r1_tarski(k8_subset_1(k3_tarski(B),C,D),k1_tarski(E)) ) ) ) )).
fof(fraenkel_a_1_0_matrprob,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_hidden(A,a_1_0_matrprob(B)) <=> ? [C] : ( m2_finseq_2(C,u1_struct_0(k2_vectsp_1),k3_finseq_2(u1_struct_0(k2_vectsp_1))) & A = C & k3_finseq_1(C) = k3_finseq_1(B) ) ) ) )).
fof(fraenkel_a_1_0_measure6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_hidden(A,a_1_0_measure6(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k7_xcmplx_0(1,C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_0_measure8,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_measure8(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(B,1)) = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),C) ) ) ) )).
fof(fraenkel_a_1_0_member_1,axiom,( ! [A] : ! [B] : ( v2_membered(B) => ( r2_hidden(A,a_1_0_member_1(B)) <=> ? [C] : ( m1_subset_1(C,k6_numbers) & A = k1_member_1(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_0_mesfunc3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_mesfunc3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_mesfunc9,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( r2_hidden(A,a_1_0_mesfunc9(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k12_supinf_2(B,C) & r1_xxreal_0(k5_numbers,C) ) ) ) )).
fof(fraenkel_a_1_0_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_1_0_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & k1_metric_2(B,D) = C ) ) ) ) )).
fof(fraenkel_a_1_0_midsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_1(B) ) => ( r2_hidden(A,a_1_0_midsp_1(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & A = C & k2_domain_1(u1_struct_0(B),u1_struct_0(B),C) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),C) ) ) ) )).
fof(fraenkel_a_1_0_modal_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_0_modal_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k8_finseq_1(k4_ordinal1,k1_modal_1(B),k14_trees_3(C)) & r2_tarski(k8_finseq_1(k4_ordinal1,k1_modal_1(B),k14_trees_3(C)),B) ) ) ) )).
fof(fraenkel_a_1_0_modelc_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_modelc_2)) => ( r2_hidden(A,a_1_0_modelc_2(B)) <=> ? [C] : ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & A = C & ? [D] : ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) & r2_tarski(D,B) & C = k6_modelc_2(D) ) ) ) ) )).
fof(fraenkel_a_1_0_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_0_modelc_3(B)) <=> ? [C] : ( m1_subset_1(C,k22_modelc_3(B)) & A = C & v1_modelc_3(C,B) & v3_modelc_3(C,B) & l1_modelc_3(C,B) ) ) ) )).
fof(fraenkel_a_1_0_moebius1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_moebius1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & C != k5_numbers & r1_nat_d(C,B) ) ) ) )).
fof(fraenkel_a_1_0_msafree2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_0_msafree2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v1_msualg_2(C,B) ) ) ) )).
fof(fraenkel_a_1_0_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => ( r2_hidden(A,a_1_0_msafree5(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_msafree5(k9_xtuple_0(k1_funct_1(B,k2_xcmplx_0(C,1))),k14_trees_3(C)) & ~ r1_xxreal_0(k3_finseq_1(B),C) ) ) ) )).
fof(fraenkel_a_1_0_msualg_5,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_msualg_5(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) )).
fof(fraenkel_a_1_0_nagata_1,axiom,( ! [A] : ! [B] : ( ~ v4_card_3(B) => ( r2_hidden(A,a_1_0_nagata_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k2_xboole_0(k2_zfmisc_1(k6_domain_1(B,C),B),k2_zfmisc_1(B,k6_domain_1(B,C))) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_0_nat_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_nat_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_nat_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & r1_xxreal_0(C,k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_1_0_nat_d,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_nat_d(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ? [D] : ( m1_subset_1(D,k4_ordinal1) & C = k3_xcmplx_0(D,B) ) ) ) ) )).
fof(fraenkel_a_1_0_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_hidden(A,a_1_0_nattra_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k4_cat_1(B,C) ) ) ) )).
fof(fraenkel_a_1_0_nbvectsp,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_0_nbvectsp(B)) <=> ? [C] : ( m2_finseq_2(C,k5_margrel1,k3_finseq_2(k5_margrel1)) & A = C & k3_finseq_1(C) = B ) ) ) )).
fof(fraenkel_a_1_0_necklace,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_necklace(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(C,k1_nat_1(C,1)) & ~ r1_xxreal_0(B,k1_nat_1(C,1)) ) ) ) )).
fof(fraenkel_a_1_0_newton,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_newton(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_normform,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_normform(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B))) & A = C & r1_xboole_0(k2_domain_1(k5_finsub_1(B),k5_finsub_1(B),C),k3_domain_1(k5_finsub_1(B),k5_finsub_1(B),C)) ) ) )).
fof(fraenkel_a_1_0_ntalgo_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r2_hidden(A,a_1_0_ntalgo_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & k8_nat_1(k4_ordinal1,B,C) = k5_numbers ) ) ) )).
fof(fraenkel_a_1_0_numbers,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(B) & m1_subset_1(B,k5_arytm_3) ) => ( r2_hidden(A,a_1_0_numbers(B)) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & A = C & ~ r3_arytm_3(B,k10_arytm_3(C,C)) ) ) ) )).
fof(fraenkel_a_1_0_numpoly1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_numpoly1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_numpoly1(B,C) ) ) ) )).
fof(fraenkel_a_1_0_openlatt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_0_openlatt(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & C != u1_struct_0(B) & v2_filter_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_orders_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_orders_4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( r2_hidden(A,a_1_0_ordinal6(B)) <=> ? [C] : ( m1_subset_1(C,k9_xtuple_0(B)) & A = C & r1_abian(C,B) ) ) ) )).
fof(fraenkel_a_1_0_partit1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_partit1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & ? [D] : ( C = k1_tarski(D) & r2_tarski(D,B) ) ) ) ) )).
fof(fraenkel_a_1_0_pcs_0,axiom,( ! [A] : ! [B] : ( l2_pcs_0(B) => ( r2_hidden(A,a_1_0_pcs_0(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v21_pcs_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_pencil_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_pencil_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & 2 = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_0_pepin,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_pepin(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r1_int_2(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_petri_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri_2(B) ) => ( r2_hidden(A,a_1_0_petri_2(B)) <=> ? [C] : ( m1_subset_1(C,u4_struct_0(B)) & A = C & v2_petri_2(C,B) ) ) ) )).
fof(fraenkel_a_1_0_petri_3,axiom,( ! [A] : ! [B] : ( ~ v1_zfmisc_1(B) => ( r2_hidden(A,a_1_0_petri_3(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k1_domain_1(B,B,C,D) & C != D ) ) ) )).
fof(fraenkel_a_1_0_polynom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_polynom2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_pre_circ,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_pre_circ(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_pscomp_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_hidden(A,a_1_0_pscomp_1(B)) <=> ? [C] : ( v1_xcmplx_0(C) & A = k4_xcmplx_0(C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_0_qc_lang1,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_0_qc_lang1(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & m1_subset_1(D,k1_qc_lang1(B)) & A = k4_tarski(C,D) & r1_xxreal_0(7,C) ) ) ) )).
fof(fraenkel_a_1_0_qc_trans,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_0_qc_trans(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & m1_subset_1(D,k1_qc_lang1(B)) & A = k4_tarski(C,D) & r1_xxreal_0(7,C) ) ) ) )).
fof(fraenkel_a_1_0_radix_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_radix_1(B)) <=> ? [C] : ( m1_subset_1(C,k4_numbers) & A = C & r1_xxreal_0(C,k6_xcmplx_0(k1_radix_1(B),1)) & r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(B)),1),C) ) ) ) )).
fof(fraenkel_a_1_0_radix_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_radix_3(B)) <=> ? [C] : ( m1_subset_1(C,k4_numbers) & A = C & r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B,1))),C) & r1_xxreal_0(C,k6_xcmplx_0(k1_radix_1(k7_nat_d(B,1)),1)) ) ) ) )).
fof(fraenkel_a_1_0_radix_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_radix_4(B)) <=> ? [C] : ( m1_subset_1(C,k4_numbers) & A = C & r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B,1))),C) & r1_xxreal_0(C,k6_xcmplx_0(k1_radix_1(k7_nat_d(B,1)),1)) ) ) ) )).
fof(fraenkel_a_1_0_radix_5,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_radix_5(B)) <=> ? [C] : ( m1_subset_1(C,k4_numbers) & A = C & r1_xxreal_0(C,k6_xcmplx_0(k1_radix_1(B),1)) & r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(B)),1),C) ) ) ) )).
fof(fraenkel_a_1_0_ramsey_1,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_0_ramsey_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & k4_card_1(C) = 2 ) ) ) )).
fof(fraenkel_a_1_0_random_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_random_3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,k2_xxreal_0) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_relset_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_relset_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_0_revrot_1,axiom,( ! [A] : ! [B] : ( ( v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_revrot_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_rinfsup1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_0_rinfsup1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_funct_1(B,C) & r1_xxreal_0(k5_numbers,C) ) ) ) )).
fof(fraenkel_a_1_0_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( r2_hidden(A,a_1_0_ring_2(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_ideal_1(C,B) & v2_ideal_1(C,B) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_0_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) ) => ( r2_hidden(A,a_1_0_rltopsp1(B)) <=> ? [C] : ( v9_rltopsp1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_0_rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( r2_hidden(A,a_1_0_rlvect_3(B)) <=> ? [C] : ( m2_rlvect_2(C,B,k1_subset_1(u1_struct_0(B))) & A = k6_rlvect_2(B,C) ) ) ) )).
fof(fraenkel_a_1_0_rusub_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ( r2_hidden(A,a_1_0_rusub_3(B)) <=> ? [C] : ( m2_rlvect_2(C,B,k1_subset_1(u1_struct_0(B))) & A = k6_rlvect_2(B,C) ) ) ) )).
fof(fraenkel_a_1_0_rusub_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ( r2_hidden(A,a_1_0_rusub_5(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_struct_0(k1_rusub_1(B),D) => r1_bhsp_1(B,D,C) ) ) ) ) ) )).
fof(fraenkel_a_1_0_rvsum_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_0_rvsum_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r2_tarski(C,k4_finseq_1(B)) & k1_funct_1(B,C) != k1_rvsum_3(B) ) ) ) )).
fof(fraenkel_a_1_0_scmfsa10,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_hidden(A,a_1_0_scmfsa10(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_amistd_1(k5_card_1(3),k1_scmfsa_2,C,B) ) ) ) )).
fof(fraenkel_a_1_0_scmfsa8a,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ( r2_hidden(A,a_1_0_scmfsa8a(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_nat_1(C,k4_card_1(B)) & r2_tarski(C,k2_afinsq_1(k4_compos_1(k1_scmfsa_2))) ) ) ) )).
fof(fraenkel_a_1_0_scmfsa9a,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_hidden(A,a_1_0_scmfsa9a(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k1_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_0_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_scmfsa_2)) ) => ( r2_hidden(A,a_1_0_scmfsa_m(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r2_tarski(k4_scmfsa_2(C),B) ) ) ) )).
fof(fraenkel_a_1_0_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( r2_hidden(A,a_1_0_scmfsa_x(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_nat_1(C,k1_nat_1(k4_card_1(B),4)) & r2_tarski(C,k2_afinsq_1(k4_compos_1(k1_scmfsa_2))) ) ) ) )).
fof(fraenkel_a_1_0_scmpds_9,axiom,( ! [A] : ! [B] : ( v1_int_1(B) => ( r2_hidden(A,a_1_0_scmpds_9(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,C,k3_scmpds_2(B)) ) ) ) )).
fof(fraenkel_a_1_0_scmring2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( r2_hidden(A,a_1_0_scmring2(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k8_struct_0(k1_ami_3)) & m1_subset_1(D,u1_struct_0(B)) & A = k3_xtuple_0(5,k1_xboole_0,k10_finseq_1(C,D)) ) ) ) )).
fof(fraenkel_a_1_0_scmring3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( r2_hidden(A,a_1_0_scmring3(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k8_struct_0(k1_ami_3)) & m1_subset_1(D,u1_struct_0(B)) & A = k3_xtuple_0(5,k1_xboole_0,k10_finseq_1(C,D)) ) ) ) )).
fof(fraenkel_a_1_0_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ( r2_hidden(A,a_1_0_scmringi(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,u1_struct_0(B)) & A = k3_xtuple_0(5,k1_xboole_0,k10_finseq_1(C,D)) ) ) ) )).
fof(fraenkel_a_1_0_scmyciel,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k2_tarski(B,k4_tarski(C,B)) & r2_tarski(C,B) ) ) )).
fof(fraenkel_a_1_0_seq_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_seq_4(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & A = C & v1_seq_4(C,B) ) ) ) )).
fof(fraenkel_a_1_0_sf_mastr,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,B) ) ) )).
fof(fraenkel_a_1_0_sgraph1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_sgraph1(B)) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & A = C & k4_card_1(C) = 2 ) ) )).
fof(fraenkel_a_1_0_simplex0,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_simplex0(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_setfam_1(C) & r2_tarski(C,B) ) ) )).
fof(fraenkel_a_1_0_sppol_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_sppol_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_sppol_2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_sppol_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_0_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k8_pscomp_1(B) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(B)) & r1_xxreal_0(k9_pscomp_1(B),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v1_sprect_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ ( ~ ( k17_euclid(C) = k6_pscomp_1(k3_topreal1(2,B)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) ) & ~ ( r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) & k18_euclid(C) = k7_pscomp_1(k3_topreal1(2,B)) ) & ~ ( r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) & k18_euclid(C) = k9_pscomp_1(k3_topreal1(2,B)) ) & ~ ( k17_euclid(C) = k8_pscomp_1(k3_topreal1(2,B)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) ) ) ) ) ) )).
fof(fraenkel_a_1_0_sprect_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_sprect_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k17_euclid(C),k6_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & ~ r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k17_euclid(C)) & ~ r1_xxreal_0(k18_euclid(C),k9_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & ~ r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_srings_2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_srings_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & v1_finset_1(C) ) ) )).
fof(fraenkel_a_1_0_substut1,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_0_substut1(B)) <=> ? [C] : ( m1_subset_1(C,k16_substut1(B)) & A = C & m2_subset_1(k18_substut1(B,C),k9_qc_lang1(B),k3_cqc_lang(B)) ) ) ) )).
fof(fraenkel_a_1_0_substut2,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_0_substut2(B)) <=> ? [C] : ( m1_subset_1(C,k16_substut1(B)) & A = C & m2_subset_1(k18_substut1(B,C),k9_qc_lang1(B),k3_cqc_lang(B)) ) ) ) )).
fof(fraenkel_a_1_0_t_1topsp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_t_1topsp(B)) <=> ? [C] : ( m1_eqrel_1(C,u1_struct_0(B)) & A = C & v2_tops_2(C,B) ) ) ) )).
fof(fraenkel_a_1_0_taylor_2,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_taylor_2(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,k4_xcmplx_0(B)) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_tdlat_1,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ( r2_hidden(A,a_1_0_tdlat_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v4_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_0_tdlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_tdlat_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v4_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_0_tietze,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_tietze(B)) <=> ? [C] : ( m2_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr),k9_funct_2(u1_struct_0(B),u1_struct_0(k3_topmetr))) & A = C & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr)) & v5_pre_topc(C,B,k3_topmetr) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) ) ) ) )).
fof(fraenkel_a_1_0_topalg_6,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ( r2_hidden(A,a_1_0_topalg_6(B)) <=> ? [C] : ( m1_subset_1(C,k4_partfun1(k1_numbers,k2_struct_0(B))) & A = C & v1_funct_1(C) & v4_topalg_6(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(B)))) ) ) ) )).
fof(fraenkel_a_1_0_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k1_topgen_2(B,C) ) ) ) )).
fof(fraenkel_a_1_0_topgen_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_hidden(A,a_1_0_topgen_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_numbers) & A = C & r1_topgen_3(B,C) ) ) ) )).
fof(fraenkel_a_1_0_topgen_5,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_topgen_5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k4_subset_1(u1_struct_0(k15_euclid(2)),k1_topreal9(2,k19_euclid(B,C),C),k6_domain_1(u1_struct_0(k15_euclid(2)),k19_euclid(B,k5_numbers))) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_0_topgen_6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topgen_3)))) => ( r2_hidden(A,a_1_0_topgen_6(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & A = k1_tops_1(k3_topmetr,C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_0_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_topreal1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k17_euclid(B) & r1_xxreal_0(k18_euclid(B),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_topreal3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_topreal3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_topreal4,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_0_topreal4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_topreal5,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_topreal5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_topreal6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r2_hidden(A,a_1_0_topreal6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k6_pscomp_1(B),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_0_topreal8,axiom,( ! [A] : ! [B] : ( ( v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v2_topreal1(B) & v1_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_0_topreal8(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,k2_rfinseq(u1_struct_0(k15_euclid(2)),1,B),C) & ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k2_rfinseq(u1_struct_0(k15_euclid(2)),1,B)),k1_nat_1(C,1)) ) ) ) )).
fof(fraenkel_a_1_0_toprealb,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_0_toprealb(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k4_xcmplx_0(B),k17_euclid(C)) & r1_xxreal_0(k17_euclid(C),B) & r1_xxreal_0(k4_xcmplx_0(B),k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),B) ) ) ) )).
fof(fraenkel_a_1_0_trees_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_trees_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k9_finseq_1(C) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_0_trees_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_trees_2(B,C) ) ) ) )).
fof(fraenkel_a_1_0_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_0_trees_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k9_finseq_1(C) & ~ r1_xxreal_0(k3_finseq_1(B),C) ) ) ) )).
fof(fraenkel_a_1_0_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_hidden(A,a_1_0_trees_9(B)) <=> ? [C] : ( m1_trees_1(C,k9_xtuple_0(B)) & A = k5_trees_2(B,C) ) ) ) )).
fof(fraenkel_a_1_0_triang_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_triang_1(B)) <=> ? [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(B))) & A = C & r3_orders_1(u1_orders_2(B),C) ) ) ) )).
fof(fraenkel_a_1_0_turing_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_0_turing_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_unialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r2_hidden(A,a_1_0_unialg_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ? [D] : ( m5_margrel1(D,u1_struct_0(B),k1_unialg_2(B)) & k18_margrel1(D) = k5_numbers & r2_tarski(C,k10_xtuple_0(D)) ) ) ) ) )).
fof(fraenkel_a_1_0_unialg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r2_hidden(A,a_1_0_unialg_3(B)) <=> ? [C] : ( m5_margrel1(C,u1_struct_0(B),k1_unialg_2(B)) & A = k1_funct_1(C,k1_xboole_0) & k18_margrel1(C) = k5_numbers ) ) ) )).
fof(fraenkel_a_1_0_uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_0_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_complfld)) & A = C & m1_comptrig(C,k1_group_1(k1_complfld),B) ) ) ) )).
fof(fraenkel_a_1_0_valued_2,axiom,( ! [A] : ! [B] : ( v4_funct_1(B) => ( r2_hidden(A,a_1_0_valued_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_0_vectmetr,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_hidden(A,a_1_0_vectmetr(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_0_waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_0_waybel11(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v3_waybel11(C,B) ) ) ) )).
fof(fraenkel_a_1_0_waybel13,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_waybel13(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_0_waybel14,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_0_waybel14(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k6_waybel_0(B,C) & r2_tarski(C,u1_struct_0(k1_waybel_8(B))) ) ) ) )).
fof(fraenkel_a_1_0_waybel16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_waybel16(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,k7_lattice3(B)) & v12_waybel_0(C,k7_lattice3(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_lattice3(B)))) & A = C ) ) ) )).
fof(fraenkel_a_1_0_waybel17,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_0_waybel17(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k2_waybel_3(B,C) ) ) ) )).
fof(fraenkel_a_1_0_waybel18,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_waybel18(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k4_card_3(k1_funct_7(k12_pralg_1(B,k7_funcop_1(B,k9_waybel18)),C,k1_tarski(1))) ) ) ) )).
fof(fraenkel_a_1_0_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_0_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_0_waybel22,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_0_waybel22(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k2_yellow_1(B))) & A = k6_waybel_0(k2_yellow_1(B),C) & ? [D] : ( m1_subset_1(D,B) & C = k1_tarski(D) ) ) ) )).
fof(fraenkel_a_1_0_waybel23,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ( r2_hidden(A,a_1_0_waybel23(B)) <=> ? [C] : ( v1_cantor_1(C,B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_0_waybel28,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_waybel28(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(k4_tarski(E,D),k3_waybel28(B)) => r1_waybel_0(B,E,C) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_0_waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_waybel29(B)) <=> ? [C] : ? [D] : ( v3_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & A = k4_tarski(C,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_1_0_waybel30,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_waybel30(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k7_subset_1(u1_struct_0(B),C,k4_waybel_0(B,D)) & r2_tarski(C,k5_waybel11(B)) & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_1_0_waybel31,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_waybel31(B)) <=> ? [C] : ( v6_waybel23(C,B) & m1_waybel23(C,B) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_0_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_0_waybel32(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k5_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_0_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_waybel_0(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_0_waybel_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_0_waybel_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & r3_orders_2(B,C,D) & r2_tarski(D,k6_domain_1(u1_struct_0(B),k3_yellow_0(B))) ) ) ) ) )).
fof(fraenkel_a_1_0_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_0_weddwitt(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k7_group_3(B,C) ) ) ) )).
fof(fraenkel_a_1_0_wellfnd1,axiom,( ! [A] : ! [B] : ( l1_orders_2(B) => ( r2_hidden(A,a_1_0_wellfnd1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v2_wellfnd1(C,B) & v12_waybel_0(C,B) ) ) ) )).
fof(fraenkel_a_1_0_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ( r2_hidden(A,a_1_0_xxreal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_0_yellow12,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_0_yellow12(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k2_borsuk_1(B,B))) & A = C & k1_funct_1(k9_funct_3(u1_struct_0(B),u1_struct_0(B)),C) = k1_funct_1(k10_funct_3(u1_struct_0(B),u1_struct_0(B)),C) ) ) ) )).
fof(fraenkel_a_1_0_zf_colla,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_0_zf_colla(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C & ! [D] : ( m1_subset_1(D,B) => ~ ( r2_tarski(D,C) & ! [E] : ( v3_ordinal1(E) => ~ ( r2_tarski(E,k1_xboole_0) & r2_tarski(D,k1_zf_colla(B,E)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_0_zf_lang,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_0_zf_lang(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_nat_1(1,B)) ) ) ) )).
fof(fraenkel_a_1_10_brouwer3,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_10_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(B,1)))) & A = C & r1_xxreal_0(k5_numbers,k1_funct_1(C,k1_nat_1(B,1))) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_10_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_10_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k3_decomp_1(B,C) = k1_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_10_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_10_fomodel0(B)) <=> ? [C] : ( m2_finseq_2(C,B,k4_finseq_2(1,B)) & A = k1_domain_1(k4_finseq_2(1,B),k4_finseq_2(1,B),C,k3_funct_2(k4_finseq_2(1,B),k4_finseq_2(1,B),k6_partfun1(k4_finseq_2(1,B)),C)) & r2_tarski(C,k4_finseq_2(1,B)) ) ) ) )).
fof(fraenkel_a_1_10_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_10_fomodel4(B)) <=> ? [C] : ? [D] : ( m2_subset_1(C,k3_finseq_2(k1_fomodel1(B)),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & m2_subset_1(D,k3_finseq_2(k1_fomodel1(B)),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & A = k10_finseq_1(C,D) ) ) ) )).
fof(fraenkel_a_1_10_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_10_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_10_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_10_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) ) ) ) )).
fof(fraenkel_a_1_10_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_10_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k18_euclid(C)) & r1_xxreal_0(k5_numbers,k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_10_jgraph_6,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_10_jgraph_6(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_10_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_10_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_hidden(k4_tarski(C,1),k2_matrix_0(k2_goboard2(B))) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,1) ) ) ) ) )).
fof(fraenkel_a_1_10_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_10_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_10_member_1,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ( r2_hidden(A,a_1_10_member_1(B)) <=> ? [C] : ( v1_xcmplx_0(C) & A = k2_xcmplx_0(k5_numbers,C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_10_nat_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_10_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & r1_xxreal_0(C,k7_xcmplx_0(k2_nat_1(2,B),3)) ) ) ) )).
fof(fraenkel_a_1_10_scmyciel,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_10_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_10_sf_mastr,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( r2_hidden(A,a_1_10_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),k1_scmfsa6a(B))) ) ) ) )).
fof(fraenkel_a_1_10_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_10_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_10_tdlat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_10_tdlat_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v5_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_10_topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_finset_1(B) => ( r2_hidden(A,a_1_10_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k6_domain_1(B,C) ) ) ) )).
fof(fraenkel_a_1_10_topgen_5,axiom,( ! [A] : ! [B] : ( ( v1_tops_2(B,k3_topmetr) & v1_cantor_1(B,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr)))) ) => ( r2_hidden(A,a_1_10_topgen_5(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & A = k9_subset_1(u1_struct_0(k5_topmetr),C,k2_struct_0(k5_topmetr)) & r2_tarski(C,B) & ~ r1_xboole_0(C,k2_struct_0(k5_topmetr)) ) ) ) )).
fof(fraenkel_a_1_10_trees_2,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(B) & ~ v1_xboole_0(B) ) => ( r2_hidden(A,a_1_10_trees_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_10_trees_9,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_10_trees_9(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_10_waybel30,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_10_waybel30(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k6_waybel_0(B,C) & r2_tarski(C,k1_xboole_0) ) ) ) )).
fof(fraenkel_a_1_11_brouwer3,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_11_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(B,1)))) & A = C & r1_xxreal_0(k1_funct_1(C,k1_nat_1(B,1)),k5_numbers) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_11_comput_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_11_comput_1(B)) <=> ? [C] : ? [D] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & v3_comput_1(D) & m2_finseq_2(D,k2_comput_1(k4_ordinal1),k3_finseq_2(k2_comput_1(k4_ordinal1))) & A = k3_relat_1(k5_funct_6(D),C) & r2_tarski(C,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) & k18_margrel1(C) = k3_finseq_1(D) & r1_tarski(k10_xtuple_0(D),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) ) ) ) )).
fof(fraenkel_a_1_11_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_11_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k3_decomp_1(B,C) = k4_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_11_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_11_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_11_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_11_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_11_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_11_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k18_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) & r1_xxreal_0(k5_numbers,k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_11_jgraph_6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_11_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r2_tarski(C,B) & r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_11_jordan2c,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r2_hidden(A,a_1_11_jordan2c(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r1_jordan2c(2,B,C) ) ) ) )).
fof(fraenkel_a_1_11_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_11_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_hidden(k4_tarski(C,k1_matrix_0(k2_goboard2(B))),k2_matrix_0(k2_goboard2(B))) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,k1_matrix_0(k2_goboard2(B))) ) ) ) ) )).
fof(fraenkel_a_1_11_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_11_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k7_partfun1(k1_numbers,C,2)) ) ) ) )).
fof(fraenkel_a_1_11_scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_scmyciel(B) & v4_scmyciel(B) ) => ( r2_hidden(A,a_1_11_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,k3_tarski(B)) & A = k2_tarski(k3_tarski(B),k4_tarski(C,k3_tarski(B))) & r2_tarski(C,k3_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_11_sf_mastr,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_hidden(A,a_1_11_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k2_tarski(B,k2_compos_1(k1_scmfsa_2))) ) ) ) )).
fof(fraenkel_a_1_11_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_11_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ ( r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k17_euclid(C)) & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) ) ) ) ) )).
fof(fraenkel_a_1_11_topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_11_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = k3_subset_1(B,C) & v1_finset_1(C) ) ) ) )).
fof(fraenkel_a_1_11_trees_2,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(B) & ~ v1_xboole_0(B) ) => ( r2_hidden(A,a_1_11_trees_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k10_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_11_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_11_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_11_waybel30,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_11_waybel30(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k1_waybel30(B,k6_waybel_0(B,C)) & r2_tarski(C,k1_xboole_0) ) ) ) )).
fof(fraenkel_a_1_12_comput_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_12_comput_1(B)) <=> ? [C] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & A = C & ? [D] : ( m2_rfunct_3(D,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & ? [E] : ( m2_rfunct_3(E,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r2_tarski(D,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) & r2_tarski(E,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) & r1_comput_1(C,D,E,F) ) ) ) ) ) ) )).
fof(fraenkel_a_1_12_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_12_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k2_decomp_1(B,C) = k5_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_12_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_dtconstr(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_12_dtconstr(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_12_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_12_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,k2_xboole_0(k1_tarski(B),k1_tarski(k1_xboole_0))) & A = k10_xtuple_0(C) & r2_tarski(C,k1_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_12_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_12_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_12_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_12_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k7_xcmplx_0(k17_euclid(C),k12_euclid(C))) & r1_xxreal_0(k18_euclid(C),k5_numbers) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_12_jgraph_6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_12_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r2_tarski(C,B) & r1_xxreal_0(k18_euclid(C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_12_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_12_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k18_euclid(C),B) ) ) ) )).
fof(fraenkel_a_1_12_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) => ( r2_hidden(A,a_1_12_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = k5_ltlaxio4(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_12_member_1,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ( r2_hidden(A,a_1_12_member_1(B)) <=> ? [C] : ( v1_xcmplx_0(C) & A = k3_xcmplx_0(k5_numbers,C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_12_scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_scmyciel(B) & v4_scmyciel(B) ) => ( r2_hidden(A,a_1_12_scmyciel(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k3_tarski(B)) & m1_subset_1(D,k3_tarski(B)) & A = k2_tarski(C,k4_tarski(D,k3_tarski(B))) & r2_tarski(k2_tarski(C,D),k1_scmyciel(B)) ) ) ) )).
fof(fraenkel_a_1_12_sf_mastr,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_hidden(A,a_1_12_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k1_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_12_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_12_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ ( r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,B))) ) ) ) ) )).
fof(fraenkel_a_1_12_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_12_trees_9(B)) <=> ? [C] : ( m1_trees_1(C,B) & A = C & k3_finseq_1(C) = k5_numbers ) ) ) )).
fof(fraenkel_a_1_12_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_12_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_13_abcmiz_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_13_abcmiz_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_abcmiz_1(C) ) ) ) )).
fof(fraenkel_a_1_13_comput_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_13_comput_1(B)) <=> ? [C] : ? [D] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & v3_comput_1(D) & m2_finseq_2(D,k2_comput_1(k4_ordinal1),k3_finseq_2(k2_comput_1(k4_ordinal1))) & A = k3_relat_1(k5_funct_6(D),C) & r2_tarski(C,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) & k18_margrel1(C) = k3_finseq_1(D) & r1_tarski(k10_xtuple_0(D),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) ) ) ) )).
fof(fraenkel_a_1_13_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_13_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k2_decomp_1(B,C) = k4_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_13_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_13_fomodel4(B)) <=> ? [C] : ( m2_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B)) & A = C ) ) ) )).
fof(fraenkel_a_1_13_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_13_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_13_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_13_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k7_xcmplx_0(k17_euclid(C),k12_euclid(C)),B) & r1_xxreal_0(k18_euclid(C),k5_numbers) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_13_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_13_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k7_partfun1(k1_numbers,C,2),B) ) ) ) )).
fof(fraenkel_a_1_13_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) ) => ( r2_hidden(A,a_1_13_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = C & r2_tarski(C,k5_ltlaxio3(B)) & v2_hilbert2(C) ) ) ) )).
fof(fraenkel_a_1_13_member_1,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ( r2_hidden(A,a_1_13_member_1(B)) <=> ? [C] : ( v1_xcmplx_0(C) & A = k3_xcmplx_0(1,C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_13_scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_scmyciel(B) & v4_scmyciel(B) ) => ( r2_hidden(A,a_1_13_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,k2_xboole_0(k2_xboole_0(k3_tarski(B),k2_zfmisc_1(k3_tarski(B),k1_tarski(k3_tarski(B)))),k1_tarski(k3_tarski(B)))) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_13_sf_mastr,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_hidden(A,a_1_13_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k1_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_13_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_13_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ ( ~ ( k17_euclid(C) = k6_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k18_euclid(C)) ) & ~ ( r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k17_euclid(C)) & k18_euclid(C) = k7_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))) ) & ~ ( r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k17_euclid(C)) & k18_euclid(C) = k9_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))) ) & ~ ( k17_euclid(C) = k8_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k18_euclid(C)) ) ) ) ) ) )).
fof(fraenkel_a_1_13_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_13_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_13_waybel30,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_13_waybel30(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k7_subset_1(u1_struct_0(B),C,k4_waybel_0(B,D)) & r2_tarski(C,k5_waybel11(B)) & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_1_14_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_14_abcmiz_1(B)) <=> ? [C] : ( v8_abcmiz_1(C,B) & m1_abcmiz_1(C,B,k13_abcmiz_1(B)) & A = k45_abcmiz_1(B,C) & r2_tarski(C,k1_subset_1(k38_abcmiz_1(B))) ) ) ) )).
fof(fraenkel_a_1_14_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & l1_unialg_1(B) ) => ( r2_hidden(A,a_1_14_aofa_l00(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k13_aofa_000(B,C,D) & C != k13_aofa_000(B,C,D) & D != k13_aofa_000(B,C,D) ) ) ) )).
fof(fraenkel_a_1_14_comput_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_14_comput_1(B)) <=> ? [C] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & A = C & ? [D] : ( m2_rfunct_3(D,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & ? [E] : ( m2_rfunct_3(E,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r2_tarski(D,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) & r2_tarski(E,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) & r1_comput_1(C,D,E,F) ) ) ) ) ) ) )).
fof(fraenkel_a_1_14_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_14_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k5_decomp_1(B,C) = k4_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_14_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_14_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_14_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_14_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k17_euclid(C)) & r1_xxreal_0(k18_euclid(C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_14_jordan6,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_14_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B),k8_pscomp_1(B)),2) ) ) ) )).
fof(fraenkel_a_1_14_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(B) & m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ( r2_hidden(A,a_1_14_ltlaxio4(B)) <=> ? [C] : ( m2_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k4_ltlaxio4(k10_ltlaxio3(B))) & A = C & ~ v2_ltlaxio3(C) & r1_tarski(k2_relset_1(k1_hilbert1,k8_ltlaxio3(B)),k2_relset_1(k1_hilbert1,k8_ltlaxio3(C))) & r1_tarski(k2_relset_1(k1_hilbert1,k9_ltlaxio3(B)),k2_relset_1(k1_hilbert1,k9_ltlaxio3(C))) ) ) ) )).
fof(fraenkel_a_1_14_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_14_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_15_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_15_fomodel4(B)) <=> ? [C] : ( m1_subset_1(C,k35_fomodel1(B)) & A = k4_tarski(C,k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),C),C)) ) ) ) )).
fof(fraenkel_a_1_15_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_15_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_15_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_15_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) & r1_xxreal_0(k18_euclid(C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_15_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_15_jordan6(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_15_scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & v4_scmyciel(B) ) => ( r2_hidden(A,a_1_15_scmyciel(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k3_tarski(B)) & m1_subset_1(D,k3_tarski(B)) & A = k2_tarski(C,k4_tarski(D,k3_tarski(B))) & r2_tarski(k2_tarski(C,D),k1_scmyciel(B)) ) ) ) )).
fof(fraenkel_a_1_15_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_15_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_16_abcmiz_a,axiom,( ! [A] : ! [B] : ( m2_finseq_2(B,k2_abcmiz_1,k4_abcmiz_1) => ( r2_hidden(A,a_1_16_abcmiz_a(B)) <=> ? [C] : ( m1_abcmiz_1(C,k27_abcmiz_1,k14_abcmiz_1(k27_abcmiz_1)) & A = k45_abcmiz_1(k27_abcmiz_1,C) & r2_tarski(C,k2_relset_1(k3_card_3(u3_msualg_1(k27_abcmiz_1,k1_msafree3(k27_abcmiz_1,k28_abcmiz_1(k27_abcmiz_1)))),k17_abcmiz_a(B))) ) ) ) )).
fof(fraenkel_a_1_16_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_16_fomodel4(B)) <=> ? [C] : ( m1_subset_1(C,k35_fomodel1(B)) & A = C ) ) ) )).
fof(fraenkel_a_1_16_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_16_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_16_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_16_jgraph_4(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_16_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_16_jordan6(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_16_scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & v4_scmyciel(B) ) => ( r2_hidden(A,a_1_16_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,k3_tarski(B)) & A = k2_tarski(k3_tarski(B),k4_tarski(C,k3_tarski(B))) & r2_tarski(C,k3_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_17_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_dtconstr(B) & v2_dtconstr(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_17_dtconstr(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_17_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_17_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C ) ) ) )).
fof(fraenkel_a_1_17_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_17_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_17_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_17_jgraph_4(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_17_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(B) & v11_scmyciel(B) ) => ( r2_hidden(A,a_1_17_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,k2_xboole_0(k2_xboole_0(k3_tarski(B),k2_zfmisc_1(k3_tarski(B),k1_tarski(k3_tarski(B)))),k1_tarski(k3_tarski(B)))) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_17_waybel30,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_17_waybel30(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(o_1_14_waybel30(B))) & A = k6_waybel_0(o_1_14_waybel30(B),C) & r2_tarski(C,u1_struct_0(k1_waybel_8(o_1_14_waybel30(B)))) ) ) ) )).
fof(fraenkel_a_1_18_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_dtconstr(B) & v2_dtconstr(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_18_dtconstr(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_18_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_18_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,1))) ) ) ) )).
fof(fraenkel_a_1_18_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_18_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_18_ltlaxio4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( r2_hidden(A,a_1_18_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = k5_ltlaxio4(C) & r2_tarski(C,k8_ltlaxio4(B)) ) ) ) )).
fof(fraenkel_a_1_18_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(B) & v11_scmyciel(B) ) => ( r2_hidden(A,a_1_18_scmyciel(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k3_tarski(B)) & m1_subset_1(D,k3_tarski(B)) & A = k2_tarski(C,k4_tarski(D,k3_tarski(B))) & r2_tarski(k2_tarski(C,D),k1_scmyciel(B)) ) ) ) )).
fof(fraenkel_a_1_19_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_19_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) ) ) ) )).
fof(fraenkel_a_1_19_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_19_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_19_scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(B) & v11_scmyciel(B) ) => ( r2_hidden(A,a_1_19_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,k3_tarski(B)) & A = k2_tarski(k3_tarski(B),k4_tarski(C,k3_tarski(B))) & r2_tarski(C,k3_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_1_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_1_abcmiz_1(B)) <=> ? [C] : ( m1_abcmiz_1(C,B,k13_abcmiz_1(B)) & A = C & v8_abcmiz_1(C,B) ) ) ) )).
fof(fraenkel_a_1_1_abcmiz_a,axiom,( ! [A] : ! [B] : ( m3_abcmiz_1(B,k27_abcmiz_1) => ( r2_hidden(A,a_1_1_abcmiz_a(B)) <=> ? [C] : ( v8_abcmiz_1(C,k27_abcmiz_1) & m1_abcmiz_1(C,k27_abcmiz_1,k13_abcmiz_1(k27_abcmiz_1)) & A = k9_abcmiz_a(k27_abcmiz_1,C) & r2_tarski(C,k41_abcmiz_1(k27_abcmiz_1,B)) ) ) ) )).
fof(fraenkel_a_1_1_afinsq_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_afinsq_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_1_afproj,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(B) & v1_diraf(B) & l1_analoaf(B) ) => ( r2_hidden(A,a_1_1_afproj(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v1_aff_4(C,B) ) ) ) )).
fof(fraenkel_a_1_1_algstr_4,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_algstr_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k14_algstr_4(B))) & A = k1_xfamily(C) & k15_algstr_4(B,C) = 1 ) ) ) )).
fof(fraenkel_a_1_1_ami_6,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_ami_6(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_amistd_1(k5_card_1(2),k1_ami_3,C,k7_ami_3(B)) ) ) ) )).
fof(fraenkel_a_1_1_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & l1_unialg_1(B) ) => ( r2_hidden(A,a_1_1_aofa_000(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k13_aofa_000(B,C,D) & C != k13_aofa_000(B,C,D) & D != k13_aofa_000(B,C,D) ) ) ) )).
fof(fraenkel_a_1_1_armstrng,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_1_armstrng(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k4_armstrng(B)) & m1_subset_1(D,k4_armstrng(B)) & A = k4_tarski(C,D) & r3_armstrng(B,D,C) ) ) )).
fof(fraenkel_a_1_1_arytm_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_arytm_2)) => ( r2_hidden(A,a_1_1_arytm_2(B)) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & A = C & ? [D] : ( m1_subset_1(D,k2_arytm_2) & ? [E] : ( m1_subset_1(E,k2_arytm_2) & E = C & r2_tarski(D,B) & ~ r1_arytm_2(D,E) ) ) ) ) ) )).
fof(fraenkel_a_1_1_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_1_asympt_0(B)) <=> ? [C] : ( m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = C & ? [D] : ( v1_xreal_0(D) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & ~ r1_xxreal_0(D,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(E,F) => ( r1_xxreal_0(k3_xcmplx_0(D,k8_nat_1(k1_numbers,B,F)),k8_nat_1(k1_numbers,C,F)) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,C,F)) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_1_asympt_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_1_asympt_1(B)) <=> ? [C] : ( m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = C & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(F,G) => ( r1_xxreal_0(k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,G)),k8_nat_1(k1_numbers,C,G)) & r1_xxreal_0(k8_nat_1(k1_numbers,C,G),k3_xcmplx_0(D,k8_nat_1(k1_numbers,B,G))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_1_axioms,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_hidden(A,a_1_1_axioms(B)) <=> ? [C] : ( m1_subset_1(C,k2_arytm_2) & A = C & r2_hidden(k4_tarski(k5_numbers,C),B) ) ) ) )).
fof(fraenkel_a_1_1_bagorder,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_1_bagorder(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_bcialg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( r2_hidden(A,a_1_1_bcialg_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v10_bcialg_1(C,B) ) ) ) )).
fof(fraenkel_a_1_1_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( r2_hidden(A,a_1_1_bcialg_2(B)) <=> ? [C] : ( m2_bcialg_2(C,B) & A = C ) ) ) )).
fof(fraenkel_a_1_1_brouwer3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_1_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(B,1)))) & A = C & r1_xxreal_0(k1_funct_1(C,k1_nat_1(B,1)),k5_numbers) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_1_c0sp2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_1_c0sp2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & A = C & v1_pscomp_1(C,B) & ? [D] : ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v2_compts_1(D,B) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( E = k13_pre_poly(C) => m1_subset_1(k2_pre_topc(B,E),k1_zfmisc_1(D)) ) ) ) ) ) ) )).
fof(fraenkel_a_1_1_card_4,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_card_4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k4_finseq_2(C,B) ) ) ) )).
fof(fraenkel_a_1_1_card_fil,axiom,( ! [A] : ! [B] : ( ~ v1_finset_1(B) => ( r2_hidden(A,a_1_1_card_fil(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & r2_tarski(k1_card_1(k6_subset_1(B,C)),k1_card_1(B)) ) ) ) )).
fof(fraenkel_a_1_1_card_fin,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_1_card_fin(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v2_funct_1(C) & ! [D] : ~ ( r2_tarski(D,B) & k1_funct_1(C,D) = D ) ) ) ) )).
fof(fraenkel_a_1_1_card_lar,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) ) => ( r2_hidden(A,a_1_1_card_lar(B)) <=> ? [C] : ( ~ v1_finset_1(C) & v1_card_1(C) & m1_subset_1(C,B) & A = C & v6_card_fil(C) ) ) ) )).
fof(fraenkel_a_1_1_cardfin2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_1_cardfin2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v2_funct_1(C) & ! [D] : ~ ( r2_tarski(D,B) & k1_funct_1(C,D) = D ) ) ) ) )).
fof(fraenkel_a_1_1_cat_7,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r2_hidden(A,a_1_1_cat_7(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k4_tarski(C,D) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_1_1_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_1_catalan2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(B,C))),C) ) ) ) )).
fof(fraenkel_a_1_1_cc0sp2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_1_cc0sp2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) & A = C & v1_cc0sp2(C,B) & ? [D] : ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v2_compts_1(D,B) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( E = k13_pre_poly(C) => m1_subset_1(k2_pre_topc(B,E),k1_zfmisc_1(D)) ) ) ) ) ) ) )).
fof(fraenkel_a_1_1_cgames_1,axiom,( ! [A] : ! [B] : ( ( v1_cgames_1(B) & l1_cgames_1(B) ) => ( r2_hidden(A,a_1_1_cgames_1(B)) <=> ? [C] : ( m1_subset_1(C,k2_xboole_0(u1_cgames_1(B),u2_cgames_1(B))) & A = k9_cgames_1(C) ) ) ) )).
fof(fraenkel_a_1_1_circuit1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_1_circuit1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v1_msualg_2(C,B) ) ) ) )).
fof(fraenkel_a_1_1_coh_sp,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_1_coh_sp(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k3_coh_sp(B)) & m1_subset_1(D,k3_coh_sp(B)) & A = k1_funct_2(k3_tarski(C),k3_tarski(D)) ) ) )).
fof(fraenkel_a_1_1_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( r2_hidden(A,a_1_1_cohsp_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k14_cohsp_1(C,k1_xboole_0) ) ) ) )).
fof(fraenkel_a_1_1_combgras,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_combgras(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & k1_card_1(C) = k1_nat_1(1,1) ) ) ) )).
fof(fraenkel_a_1_1_compos_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0)))) => ( r2_hidden(A,a_1_1_compos_0(B)) <=> ? [C] : ( m1_subset_1(C,k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0))) & A = k2_compos_0(C) & k5_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0)),C) = B ) ) ) )).
fof(fraenkel_a_1_1_compos_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_compos_1))) => ( r2_hidden(A,a_1_1_compos_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_compos_1)) & A = k2_compos_0(C) & k5_compos_0(u1_compos_1(k1_compos_1),C) = B ) ) ) )).
fof(fraenkel_a_1_1_comput_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) & v1_comput_1(B) ) => ( r2_hidden(A,a_1_1_comput_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k10_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_1_convfun1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_hidden(A,a_1_1_convfun1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_tarski(C,k4_finseq_1(B)) & k12_supinf_2(B,C) = k5_numbers ) ) ) )).
fof(fraenkel_a_1_1_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_1_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v1_decomp_1(C,B) ) ) ) )).
fof(fraenkel_a_1_1_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_domain_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C & ~ $true ) ) ) )).
fof(fraenkel_a_1_1_ens_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_ens_1(B)) <=> ? [C] : ? [D] : ? [E] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,k1_ens_1(B)) & A = k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) & ( D = k1_xboole_0 => C = k1_xboole_0 ) & v1_funct_1(E) & v1_funct_2(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) ) ) )).
fof(fraenkel_a_1_1_euclidlp,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_euclidlp(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(B))) & A = C & ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) & ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(B)) & C = k4_euclidlp(B,D,E,F) ) ) ) ) ) ) )).
fof(fraenkel_a_1_1_euler_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_euler_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_fcont_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_fcont_3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_fdiff_2,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_fdiff_2(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_fdiff_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_fdiff_3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_finance1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_finance1(B)) <=> ? [C] : ( m1_subset_1(C,k6_numbers) & A = C & r1_xxreal_0(B,C) & ~ r1_xxreal_0(k1_xxreal_0,C) ) ) ) )).
fof(fraenkel_a_1_1_finseq_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_finseq_2(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k10_finseq_1(C,D) ) ) ) )).
fof(fraenkel_a_1_1_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_1_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,k9_xtuple_0(B)) & A = k4_tarski(C,k1_funct_1(B,C)) & r2_tarski(C,k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_1_1_fomodel2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_fomodel2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k10_finseq_1(C,C) ) ) ) )).
fof(fraenkel_a_1_1_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_fomodel3(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k6_domain_1(B,C) ) ) ) )).
fof(fraenkel_a_1_1_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_1_fomodel4(B)) <=> ? [C] : ( m2_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B)) & A = k1_domain_1(k35_fomodel1(B),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),C,k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),C),C)) ) ) ) )).
fof(fraenkel_a_1_1_frechet,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_frechet(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,k6_xcmplx_0(B,k7_xcmplx_0(1,4))) & ~ r1_xxreal_0(k2_xcmplx_0(B,k7_xcmplx_0(1,4)),C) ) ) ) )).
fof(fraenkel_a_1_1_frechet2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_1_frechet2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_1_funct_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_1_1_funct_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k10_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_1_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(1,k5_numbers)))) ) ) ) )).
fof(fraenkel_a_1_1_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1))) ) ) ) )).
fof(fraenkel_a_1_1_goboard7,axiom,( ! [A] : ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_1_goboard7(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_1_goboard9,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_goboard9(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B)))) ) ) ) )).
fof(fraenkel_a_1_1_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_1_1_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_1_gobrd12(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_goboard5(k2_goboard2(B),C,D) & r1_xxreal_0(C,k3_finseq_1(k2_goboard2(B))) & r1_xxreal_0(D,k1_matrix_0(k2_goboard2(B))) ) ) ) )).
fof(fraenkel_a_1_1_gobrd13,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_gobrd13(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) ) ) ) )).
fof(fraenkel_a_1_1_gobrd14,axiom,( ! [A] : ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_1_gobrd14(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k20_pscomp_1(k3_topreal1(2,B)))))) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k20_pscomp_1(k3_topreal1(2,B))))),k17_euclid(C)) & k18_euclid(C) = k7_pscomp_1(k3_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k20_pscomp_1(k3_topreal1(2,B))))) ) ) ) )).
fof(fraenkel_a_1_1_graph_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_graph_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(B,C) & r1_xxreal_0(C,k1_nat_1(B,k5_numbers)) ) ) ) )).
fof(fraenkel_a_1_1_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ( r2_hidden(A,a_1_1_grcat_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k27_grcat_1(B))) & A = C & ? [D] : ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v2_midsp_2(D) & l2_algstr_0(D) & C = D ) ) ) ) )).
fof(fraenkel_a_1_1_group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_1_group_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ~ v1_group_4(C,B) ) ) ) )).
fof(fraenkel_a_1_1_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_1_group_6(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k2_group_5(B,C,D) ) ) ) )).
fof(fraenkel_a_1_1_hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_1_hilbert4(B)) <=> ? [C] : ( m1_subset_1(C,k9_xtuple_0(B)) & A = k2_tarski(C,k1_funct_1(B,C)) & r2_tarski(C,k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_1_1_holder_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_holder_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(B,C) & r1_xxreal_0(C,k2_xcmplx_0(B,k6_xcmplx_0(1,B))) ) ) ) )).
fof(fraenkel_a_1_1_huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( r2_hidden(A,a_1_1_huffman1(B)) <=> ? [C] : ( m1_subset_1(C,k2_huffman1(k1_huffman1)) & A = k6_huffman1(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_1_int_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_1_int_4(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r1_int_2(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_1_1_integra1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(k3_seq_4(B),C) & r1_xxreal_0(C,k2_seq_4(B)) ) ) ) )).
fof(fraenkel_a_1_1_jct_misc,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jct_misc(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k7_xcmplx_0(k18_euclid(C),k12_euclid(C)),B) & r1_xxreal_0(k17_euclid(C),k5_numbers) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_1_jgraph_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jgraph_5(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r2_tarski(C,B) & r1_xxreal_0(k18_euclid(C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_1_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k12_euclid(C) = B ) ) ) )).
fof(fraenkel_a_1_1_jordan1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jordan1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_jordan10,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jordan10(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_pre_topc(k15_euclid(2),k1_jordan2c(2,k3_topreal1(2,k1_jordan9(B,C)))) ) ) ) )).
fof(fraenkel_a_1_1_jordan12,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jordan12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_1_jordan1a,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jordan1a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = B ) ) ) )).
fof(fraenkel_a_1_1_jordan1h,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jordan1h(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) ) ) ) )).
fof(fraenkel_a_1_1_jordan1i,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_1_jordan1i(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k22_pscomp_1(k3_topreal1(2,B)))),k3_finseq_1(k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k22_pscomp_1(k3_topreal1(2,B))))),1))) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k22_pscomp_1(k3_topreal1(2,B)))),1,k7_nat_d(k4_jordan5d(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k22_pscomp_1(k3_topreal1(2,B)))),1)))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k22_pscomp_1(k3_topreal1(2,B)))),1,k1_nat_1(k7_nat_d(k4_jordan5d(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k22_pscomp_1(k3_topreal1(2,B)))),1),1))),D) ) ) ) )).
fof(fraenkel_a_1_1_jordan1k,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_jordan1k(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & A = C & r1_jordan2c(B,k1_struct_0(k15_euclid(B)),C) ) ) ) )).
fof(fraenkel_a_1_1_jordan20,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_1_jordan20(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_1_jordan21,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_1_jordan21(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(k17_euclid(B),C) & ~ r1_xxreal_0(k18_euclid(B),C) ) ) ) )).
fof(fraenkel_a_1_1_jordan22,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jordan22(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k18_euclid(k1_jordan21(k8_jordan6(k3_topreal1(2,k1_jordan9(B,C))))) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_1_jordan2b,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jordan2b(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_jordan2c,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jordan2c(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(1))) & A = C & ? [D] : ( v1_xreal_0(D) & C = k9_finseq_1(D) & ~ r1_xxreal_0(k4_xcmplx_0(B),D) ) ) ) ) )).
fof(fraenkel_a_1_1_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_1_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k18_euclid(C) & k17_euclid(C) = k8_pscomp_1(k3_topreal1(2,B)) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_1_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),B) ) ) ) )).
fof(fraenkel_a_1_1_jordan7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jordan7(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_jordan6(B,k18_pscomp_1(B),C) & r1_jordan6(B,C,k22_pscomp_1(B)) ) ) ) )).
fof(fraenkel_a_1_1_jordan9,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jordan9(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) ) ) ) )).
fof(fraenkel_a_1_1_jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_jordan_a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ( r1_jordan6(B,k18_pscomp_1(B),C) | ( r2_tarski(k18_pscomp_1(B),B) & C = k18_pscomp_1(B) ) ) ) ) ) )).
fof(fraenkel_a_1_1_lang1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_1_lang1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_1_lattad_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_1_lattad_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k4_tarski(C,D) & k2_lattices(B,C,D) = D ) ) ) )).
fof(fraenkel_a_1_1_lattice5,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_lattice5(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k2_zfmisc_1(C,D) & r2_tarski(C,B) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_1_1_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_1_lattice6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v4_lattice6(C,B) ) ) ) )).
fof(fraenkel_a_1_1_lattice7,axiom,( ! [A] : ! [B] : ( l1_orders_2(B) => ( r2_hidden(A,a_1_1_lattice7(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v12_waybel_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_limfunc1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_limfunc1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_limfunc2,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_limfunc2(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_limfunc3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_limfunc3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_1_lopclset(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v1_filter_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_ltlaxio3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( r2_hidden(A,a_1_1_ltlaxio3(B)) <=> ? [C] : ( m1_subset_1(C,k1_hilbert1) & A = k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_1_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) ) => ( r2_hidden(A,a_1_1_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = C & k10_ltlaxio3(C) = k5_ltlaxio3(B) & r1_xboole_0(k2_relset_1(k1_hilbert1,k8_ltlaxio3(C)),k2_relset_1(k1_hilbert1,k9_ltlaxio3(C))) ) ) ) )).
fof(fraenkel_a_1_1_matrix11,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_matrix11(B)) <=> ? [C] : ( m1_matrix_1(C,k9_matrix_1(B)) & A = C & ~ v6_matrix_1(C,k8_matrix_1(k9_matrix_1(B))) ) ) ) )).
fof(fraenkel_a_1_1_matrixc1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_matrixc1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_matrprob,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_hidden(A,a_1_1_matrprob(B)) <=> ? [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) & A = C & k3_finseq_1(C) = k3_finseq_1(B) ) ) ) )).
fof(fraenkel_a_1_1_measure6,axiom,( ! [A] : ! [B] : ( v3_membered(B) => ( r2_hidden(A,a_1_1_measure6(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & A = C & r1_tarski(B,C) & v2_rcomp_1(C) ) ) ) )).
fof(fraenkel_a_1_1_member_1,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ( r2_hidden(A,a_1_1_member_1(B)) <=> ? [C] : ( v1_xcmplx_0(C) & A = k4_xcmplx_0(C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_1_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_1_1_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_numbers) & A = C & ? [D] : ( m1_subset_1(D,k2_metric_2(B)) & ? [E] : ( m1_subset_1(E,k2_metric_2(B)) & r4_metric_2(B,D,E,C) ) ) ) ) ) )).
fof(fraenkel_a_1_1_midsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_1(B) ) => ( r2_hidden(A,a_1_1_midsp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & A = C & m1_midsp_1(C,B) ) ) ) )).
fof(fraenkel_a_1_1_mmlquer2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_1_mmlquer2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_tarski(C) & r2_tarski(C,B) ) ) )).
fof(fraenkel_a_1_1_modal_1,axiom,( ! [A] : ! [B] : ( m2_trees_3(B,k2_trees_1(1),k1_relset_1(k2_trees_1(1),k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers)))) => ( r2_hidden(A,a_1_1_modal_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)) & r2_tarski(k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)),k1_relset_1(k2_trees_1(1),k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers)))) ) ) ) )).
fof(fraenkel_a_1_1_modelc_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_modelc_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k2_xcmplx_0(1,B)) ) ) ) )).
fof(fraenkel_a_1_1_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_1_modelc_3(B)) <=> ? [C] : ( m1_subset_1(C,k3_zfmisc_1(k23_modelc_3(B),k43_modelc_2,k23_modelc_3(B))) & A = C & ? [D] : ( v1_modelc_3(D,B) & v3_modelc_3(D,B) & l1_modelc_3(D,B) & ? [E] : ( v1_modelc_3(E,B) & v3_modelc_3(E,B) & l1_modelc_3(E,B) & ? [F] : ( C = k4_tarski(k4_tarski(D,F),E) & r6_modelc_3(B,D,E) & r2_tarski(F,k29_modelc_3(B,E)) ) ) ) ) ) ) )).
fof(fraenkel_a_1_1_moebius1,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_1_moebius1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r1_xxreal_0(C,k5_numbers) & r1_nat_d(C,B) & v1_moebius1(C) ) ) ) )).
fof(fraenkel_a_1_1_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v4_trees_3(B) ) => ( r2_hidden(A,a_1_1_msafree5(B)) <=> ? [C] : ? [D] : ? [E] : ( v7_ordinal1(C) & m2_finseq_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & v1_trees_1(E) & A = k8_finseq_1(k4_ordinal1,k14_trees_3(C),D) & r2_tarski(D,k3_trees_1(E)) & r2_tarski(k2_xcmplx_0(C,1),k4_finseq_1(B)) & E = k1_funct_1(B,k2_xcmplx_0(C,1)) ) ) ) )).
fof(fraenkel_a_1_1_msualg_7,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_msualg_7(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,k7_xcmplx_0(1,2)) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_nat_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_hidden(A,a_1_1_nattra_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k2_cat_1(B,C,C) ) ) ) )).
fof(fraenkel_a_1_1_necklace,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_necklace(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(k1_nat_1(C,1),C) & ~ r1_xxreal_0(B,k1_nat_1(C,1)) ) ) ) )).
fof(fraenkel_a_1_1_newton,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_newton(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r1_xxreal_0(B,C) & v1_int_2(C) ) ) ) )).
fof(fraenkel_a_1_1_normform,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_1_normform(B)) <=> ? [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & A = C & ! [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) => ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) & r1_normform(k5_finsub_1(B),k5_finsub_1(B),D,E) ) => D = E ) ) ) ) ) )).
fof(fraenkel_a_1_1_ntalgo_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( r2_hidden(A,a_1_1_ntalgo_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & k8_nat_1(k4_numbers,B,C) = k5_numbers ) ) ) )).
fof(fraenkel_a_1_1_numbers,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_arytm_3) => ( r2_hidden(A,a_1_1_numbers(B)) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & A = C & ~ r3_arytm_3(B,C) ) ) ) )).
fof(fraenkel_a_1_1_openlatt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v1_lattice2(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_1_openlatt(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_openlatt(B))) & A = k3_tarski(C) ) ) ) )).
fof(fraenkel_a_1_1_ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v3_ordinal6(B) ) => ( r2_hidden(A,a_1_1_ordinal6(B)) <=> ? [C] : ( m1_subset_1(C,k9_xtuple_0(k1_funct_1(B,k5_numbers))) & A = C & r2_tarski(C,k9_xtuple_0(k1_funct_1(B,k5_numbers))) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_ordinal2(D) ) => ( r2_tarski(D,k10_xtuple_0(B)) => r1_abian(C,D) ) ) ) ) ) )).
fof(fraenkel_a_1_1_petri_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & v3_petri_2(B) & l1_petri_2(B) ) => ( r2_hidden(A,a_1_1_petri_3(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_petri_2(B),k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(B),k4_ordinal1))) & A = C ) ) ) )).
fof(fraenkel_a_1_1_polynom2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_polynom2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_polynom3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_1_polynom3(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k2_polynom3(k4_ordinal1,C,k7_nat_d(B,C)) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_polynom5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(B,k1_complfld) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( r2_hidden(A,a_1_1_polynom5(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_complfld)) & A = k10_subset_1(k9_complex1(k2_polynom4(k1_complfld,k8_polynom5(k1_complfld,B),C)),k1_numbers) ) ) ) )).
fof(fraenkel_a_1_1_polyred,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_polyred(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k2_xcmplx_0(B,1)) ) ) ) )).
fof(fraenkel_a_1_1_qc_trans,axiom,( ! [A] : ! [B] : ( ( v4_card_3(B) & m1_qc_lang1(B) ) => ( r2_hidden(A,a_1_1_qc_trans(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & m1_subset_1(D,k1_qc_lang1(B)) & A = k4_tarski(C,D) & r1_xxreal_0(7,C) ) ) ) )).
fof(fraenkel_a_1_1_radix_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_radix_3(B)) <=> ? [C] : ( m1_subset_1(C,k4_numbers) & A = C & r1_xxreal_0(k6_xcmplx_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(B,1))),1),C) & r1_xxreal_0(C,k1_radix_1(k7_nat_d(B,1))) ) ) ) )).
fof(fraenkel_a_1_1_rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) ) => ( r2_hidden(A,a_1_1_rltopsp1(B)) <=> ? [C] : ( m1_connsp_2(C,B,k4_struct_0(B)) & A = C ) ) ) )).
fof(fraenkel_a_1_1_rusub_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ( r2_hidden(A,a_1_1_rusub_5(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_struct_0(k2_rusub_1(B),D) => r1_bhsp_1(B,D,C) ) ) ) ) ) )).
fof(fraenkel_a_1_1_rvsum_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_1_rvsum_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r2_tarski(C,k4_finseq_1(B)) & ~ r1_xxreal_0(k1_rvsum_3(B),k1_funct_1(B,C)) ) ) ) )).
fof(fraenkel_a_1_1_scmfsa10,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_scmfsa10(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_amistd_1(k5_card_1(3),k1_scmfsa_2,C,k11_scmfsa_2(B)) ) ) ) )).
fof(fraenkel_a_1_1_scmfsa8a,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( r2_hidden(A,a_1_1_scmfsa8a(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_nat_1(C,k1_nat_1(k4_card_1(B),1)) & r2_tarski(C,k2_afinsq_1(k4_compos_1(k1_scmfsa_2))) ) ) ) )).
fof(fraenkel_a_1_1_scmfsa9a,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_hidden(A,a_1_1_scmfsa9a(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k1_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_1_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_1_scmfsa_9(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k10_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_1_1_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k3_scmfsa_2)) ) => ( r2_hidden(A,a_1_1_scmfsa_m(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r2_tarski(k5_scmfsa_2(C),B) ) ) ) )).
fof(fraenkel_a_1_1_scmfsa_x,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( r2_hidden(A,a_1_1_scmfsa_x(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_nat_1(C,2) & r2_tarski(C,k2_afinsq_1(k2_scmfsa6a(k1_scmfsa8a(k1_nat_1(k4_card_1(k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),1)),k2_scmfsa6a(k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers)),k4_compos_1(k1_scmfsa_2))))) ) ) ) )).
fof(fraenkel_a_1_1_scmringi,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ( r2_hidden(A,a_1_1_scmringi(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k2_scm_inst) & m1_subset_1(D,u1_struct_0(B)) & A = k3_xtuple_0(5,k1_xboole_0,k7_scmringi(B,C,D)) ) ) ) )).
fof(fraenkel_a_1_1_scmyciel,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_1_scmyciel(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k3_tarski(B)) & m1_subset_1(D,k3_tarski(B)) & A = k2_tarski(C,k4_tarski(D,k3_tarski(B))) & r2_tarski(k2_tarski(C,D),k1_scmyciel(B)) ) ) ) )).
fof(fraenkel_a_1_1_sf_mastr,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_1_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,B) ) ) )).
fof(fraenkel_a_1_1_sgraph1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_1_sgraph1(B)) <=> ? [C] : ? [D] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_sgraph1(C))) & A = g1_sgraph1(C,D) ) ) )).
fof(fraenkel_a_1_1_sppol_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_1_sppol_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_1_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_1_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(B)) & r1_xxreal_0(k6_pscomp_1(B),k17_euclid(C)) & k18_euclid(C) = k9_pscomp_1(B) ) ) ) )).
fof(fraenkel_a_1_1_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v1_sprect_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_1_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ ( r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,B))) ) ) ) ) )).
fof(fraenkel_a_1_1_stirl2_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_stirl2_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_t_1topsp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_1_t_1topsp(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_eqrel_1(u1_struct_0(B),k1_t_1topsp(B)))) & A = C & r2_tarski(k3_tarski(C),u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_1_1_tdlat_1,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ( r2_hidden(A,a_1_1_tdlat_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v5_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_1_tdlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_1_tdlat_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v5_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_1_topgen_2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_1_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = k3_subset_1(B,C) & v1_finset_1(C) ) ) )).
fof(fraenkel_a_1_1_topgen_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( r2_hidden(A,a_1_1_topgen_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_numbers) & A = C & ? [D] : ( r2_tarski(D,k1_cantor_1(k1_numbers,B)) & r1_topgen_3(D,C) ) ) ) ) )).
fof(fraenkel_a_1_1_topgen_6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_topgen_6))) => ( r2_hidden(A,a_1_1_topgen_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_topgen_6)) & A = k6_domain_1(u1_struct_0(k1_topgen_6),C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_1_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_1_topreal1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(k17_euclid(B),C) & r1_xxreal_0(k18_euclid(B),C) ) ) ) )).
fof(fraenkel_a_1_1_topreal3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_topreal3(B)) <=> ? [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) & A = C & k3_finseq_1(C) = B ) ) ) )).
fof(fraenkel_a_1_1_topreal4,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_1_topreal4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_1_topreal5,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_1_topreal5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_topreal8,axiom,( ! [A] : ! [B] : ( ( v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v2_topreal1(B) & v1_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_1_topreal8(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,k2_rfinseq(u1_struct_0(k15_euclid(2)),1,B),C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k2_rfinseq(u1_struct_0(k15_euclid(2)),1,B))) ) ) ) )).
fof(fraenkel_a_1_1_treal_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_hidden(A,a_1_1_treal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(k5_numbers,C) & ~ r1_xxreal_0(k3_seq_4(B),C) ) ) ) )).
fof(fraenkel_a_1_1_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_1_trees_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_trees_2(B,C) & r1_xxreal_0(C,k6_trees_1(B)) ) ) ) )).
fof(fraenkel_a_1_1_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_hidden(A,a_1_1_trees_9(B)) <=> ? [C] : ( m1_trees_1(C,k9_xtuple_0(B)) & A = k4_tarski(C,k5_trees_2(B,C)) ) ) ) )).
fof(fraenkel_a_1_1_turing_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_1_turing_1(B)) <=> ? [C] : ( m2_finseq_2(C,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & A = C & k3_finseq_1(C) = B ) ) ) )).
fof(fraenkel_a_1_1_uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_1_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C),B)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C),B))) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_1_waybel11,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_1_waybel11(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k2_waybel_3(B,C) ) ) ) )).
fof(fraenkel_a_1_1_waybel16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_waybel16(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v2_waybel_0(C,B) & v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_1_waybel18,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_1_waybel18(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k6_waybel_0(B,C) & r2_tarski(C,u1_struct_0(k1_waybel_8(B))) ) ) ) )).
fof(fraenkel_a_1_1_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_1_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = k3_subset_1(u1_struct_0(B),k4_waybel_0(B,C)) & v1_finset_1(C) ) ) ) )).
fof(fraenkel_a_1_1_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_waybel23(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_1_waybel26,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_1_waybel26(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k10_xtuple_0(k10_xtuple_0(B)))) & A = k3_tarski(C) & v1_finset_1(C) ) ) ) )).
fof(fraenkel_a_1_1_waybel31,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v2_waybel_8(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_waybel31(B)) <=> ? [C] : ( v6_waybel23(C,B) & m1_waybel23(C,B) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_1_waybel33,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_waybel33(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(k4_tarski(E,D),k3_waybel28(B)) => r1_waybel_0(B,E,C) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_1_waybel_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_waybel_0(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v2_waybel_0(C,B) & v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_1_waybel_4,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_waybel_4(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_1_waybel_5,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_waybel_5(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & v1_finset_1(C) & C != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_1_1_waybel_6,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_waybel_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k5_funct_3(k3_subset_1(u1_struct_0(B),k5_waybel_0(B,C)),u1_struct_0(B)) & v5_waybel_6(C,B) ) ) ) )).
fof(fraenkel_a_1_1_waybel_8,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_1_waybel_8(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k6_domain_1(B,C) ) ) ) )).
fof(fraenkel_a_1_1_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( r2_hidden(A,a_1_1_weddwitt(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k6_algstr_0(B,C,D) = k6_algstr_0(B,D,C) ) ) ) ) )).
fof(fraenkel_a_1_1_wellfnd1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_1_wellfnd1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v2_wellfnd1(C,B) & v12_waybel_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ( r2_hidden(A,a_1_1_xxreal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_1_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ( r2_hidden(A,a_1_1_zmodul02(B)) <=> ? [C] : ( m2_zmodul02(C,B,k1_subset_1(u1_struct_0(B))) & A = k21_zmodul02(B,C) ) ) ) )).
fof(fraenkel_a_1_20_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_20_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_20_jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)))) ) => ( r2_hidden(A,a_1_20_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k7_partfun1(u1_struct_0(k3_topmetr),B,C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_21_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_21_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,1))) ) ) ) )).
fof(fraenkel_a_1_21_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_21_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_21_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_21_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(o_1_19_waybel19(B))) & A = k3_subset_1(u1_struct_0(o_1_19_waybel19(B)),k6_waybel_0(o_1_19_waybel19(B),C)) ) ) ) )).
fof(fraenkel_a_1_22_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_22_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_22_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_22_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_22_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_22_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(o_1_19_waybel19(B)))) & A = k3_subset_1(u1_struct_0(o_1_19_waybel19(B)),k4_waybel_0(o_1_19_waybel19(B),C)) & v1_finset_1(C) ) ) ) )).
fof(fraenkel_a_1_23_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_23_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_23_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_23_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k18_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) ) ) ) )).
fof(fraenkel_a_1_23_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(B) & m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ( r2_hidden(A,a_1_23_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k4_ltlaxio4(k10_ltlaxio3(B))) & A = C & ~ v2_ltlaxio3(C) & r1_tarski(k2_relset_1(k1_hilbert1,k8_ltlaxio3(B)),k2_relset_1(k1_hilbert1,k8_ltlaxio3(C))) & r1_tarski(k2_relset_1(k1_hilbert1,k9_ltlaxio3(B)),k2_relset_1(k1_hilbert1,k9_ltlaxio3(C))) ) ) ) )).
fof(fraenkel_a_1_24_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_24_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_24_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_24_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k18_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) ) ) ) )).
fof(fraenkel_a_1_24_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_24_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_25_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_25_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_25_jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)))) ) => ( r2_hidden(A,a_1_25_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k5_numbers,k7_partfun1(u1_struct_0(k3_topmetr),B,C)) ) ) ) )).
fof(fraenkel_a_1_26_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_26_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) ) ) ) )).
fof(fraenkel_a_1_26_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_26_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) ) ) ) )).
fof(fraenkel_a_1_27_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_27_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_27_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_27_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k17_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) ) ) ) )).
fof(fraenkel_a_1_28_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_28_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),D) ) ) ) )).
fof(fraenkel_a_1_29_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_29_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_2_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_2_abcmiz_1(B)) <=> ? [C] : ? [D] : ( m1_abcmiz_1(C,B,k12_abcmiz_1(B)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k38_abcmiz_1(B))) & A = k1_domain_1(k1_zfmisc_1(k38_abcmiz_1(B)),k3_card_3(u3_msualg_1(B,k1_msafree3(B,k28_abcmiz_1(B)))),D,C) & v9_abcmiz_1(C,B) ) ) ) )).
fof(fraenkel_a_1_2_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k38_abcmiz_1(k27_abcmiz_1))) ) => ( r2_hidden(A,a_1_2_abcmiz_a(B)) <=> ? [C] : ( v8_abcmiz_1(C,k27_abcmiz_1) & m1_abcmiz_1(C,k27_abcmiz_1,k13_abcmiz_1(k27_abcmiz_1)) & A = k9_abcmiz_a(k27_abcmiz_1,C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_2_afproj,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(B) & v1_diraf(B) & l1_analoaf(B) ) => ( r2_hidden(A,a_1_2_afproj(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_domain_1(k1_zfmisc_1(u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)),C,D) & v1_aff_1(C,B) & v1_aff_1(D,B) & r1_aff_4(B,C,D) ) ) ) )).
fof(fraenkel_a_1_2_ami_6,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_ami_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_ami_3)) & A = k7_subset_1(k4_ordinal1,k1_amistd_1(k5_card_1(2),k1_ami_3,B,C),k2_amistd_1(k5_card_1(2),k1_ami_3,C)) ) ) ) )).
fof(fraenkel_a_1_2_arytm_2,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ( r2_hidden(A,a_1_2_arytm_2(B)) <=> ? [C] : ( m1_subset_1(C,k5_arytm_3) & A = C & ? [D] : ( m1_subset_1(D,k5_arytm_3) & ~ r2_tarski(D,B) & r3_arytm_3(k10_arytm_3(D,C),k12_arytm_3) ) ) ) ) )).
fof(fraenkel_a_1_2_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_2_asympt_0(B)) <=> ? [C] : ( m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = C & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(F,G) => ( r1_xxreal_0(k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,G)),k8_nat_1(k1_numbers,C,G)) & r1_xxreal_0(k8_nat_1(k1_numbers,C,G),k3_xcmplx_0(D,k8_nat_1(k1_numbers,B,G))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_2_asympt_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & v6_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_2_asympt_1(B)) <=> ? [C] : ( m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = C & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(F,G) => ( r1_xxreal_0(k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,G)),k8_nat_1(k1_numbers,C,G)) & r1_xxreal_0(k8_nat_1(k1_numbers,C,G),k3_xcmplx_0(D,k8_nat_1(k1_numbers,B,G))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_2_bagorder,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_bagorder(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_2_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ( r2_hidden(A,a_1_2_bcialg_2(B)) <=> ? [C] : ( m3_bcialg_2(C,B) & A = C ) ) ) )).
fof(fraenkel_a_1_2_brouwer3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) & A = C & r1_xxreal_0(k5_numbers,k1_funct_1(C,B)) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_2_card_fin,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_2_card_fin(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v2_funct_1(C) ) ) ) )).
fof(fraenkel_a_1_2_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_2_catalan2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(k1_catalan2(k5_afinsq_1(k5_numbers),B),C))) = C & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_2_cgames_1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r2_hidden(A,a_1_2_cgames_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_cgames_1(B))) & A = C & ! [D] : ( v2_cgames_1(D) => ( r2_tarski(D,C) => ! [E] : ( v2_cgames_1(E) => ~ ( r2_tarski(E,k7_cgames_1(D)) & ! [F] : ( v2_cgames_1(F) => ~ ( r2_tarski(F,k6_cgames_1(E)) & r2_tarski(F,C) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_2_coh_sp,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_2_coh_sp(B)) <=> ? [C] : ? [D] : ? [E] : ( m1_subset_1(C,k3_coh_sp(B)) & m1_subset_1(D,k3_coh_sp(B)) & m1_subset_1(E,k4_coh_sp(B)) & A = k4_tarski(k4_tarski(C,D),E) & ( k3_tarski(D) = k1_xboole_0 => k3_tarski(C) = k1_xboole_0 ) & v1_funct_1(E) & v1_funct_2(E,k3_tarski(C),k3_tarski(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(C),k3_tarski(D)))) & ! [F] : ! [G] : ( r2_tarski(k2_tarski(F,G),C) => r2_tarski(k2_tarski(k1_funct_1(E,F),k1_funct_1(E,G)),D) ) ) ) )).
fof(fraenkel_a_1_2_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ( r2_hidden(A,a_1_2_cohsp_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k14_cohsp_1(k1_xboole_0,C) ) ) ) )).
fof(fraenkel_a_1_2_compact1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_2_compact1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = k2_xboole_0(C,k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),k2_struct_0(B))) & v3_pre_topc(C,B) & v2_compts_1(k3_subset_1(u1_struct_0(B),C),B) ) ) ) )).
fof(fraenkel_a_1_2_comput_1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_2_comput_1(B)) <=> ? [C] : ( m2_rfunct_3(C,k3_finseq_2(B),B,k3_rfunct_3(k3_finseq_2(B),B)) & A = C & v2_margrel1(C) ) ) )).
fof(fraenkel_a_1_2_convfun1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_hidden(A,a_1_2_convfun1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_hidden(C,k4_finseq_1(B)) & k12_supinf_2(B,C) != k5_numbers ) ) ) )).
fof(fraenkel_a_1_2_dblseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_dblseq_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_2_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_2_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v2_decomp_1(C,B) ) ) ) )).
fof(fraenkel_a_1_2_ens_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_2_ens_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k7_ens_1(B,C,D) ) ) ) )).
fof(fraenkel_a_1_2_euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_2_euclid_7(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k6_euclid_7(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_2_fcont_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_fcont_3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_2_fdiff_2,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_fdiff_2(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_2_finseq_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_2_finseq_2(B)) <=> ? [C] : ? [D] : ? [E] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,B) & A = k11_finseq_1(C,D,E) ) ) ) )).
fof(fraenkel_a_1_2_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_2_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k10_finseq_1(C,C) ) ) ) )).
fof(fraenkel_a_1_2_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_2_fomodel2(B)) <=> ? [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & A = C & v4_fomodel2(C,B) & v5_fomodel2(C,B) ) ) ) )).
fof(fraenkel_a_1_2_frechet2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_2_frechet2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_2_functor0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_2_functor0(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C ) ) ) )).
fof(fraenkel_a_1_2_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(k5_numbers,1),1))) ) ) ) )).
fof(fraenkel_a_1_2_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),D) ) ) ) )).
fof(fraenkel_a_1_2_goboard9,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_goboard9(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C) ) ) ) )).
fof(fraenkel_a_1_2_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_1_2_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_2_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,1))) ) ) ) )).
fof(fraenkel_a_1_2_gobrd13,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_gobrd13(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_2_gobrd14,axiom,( ! [A] : ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_2_gobrd14(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k8_pscomp_1(k3_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k20_pscomp_1(k3_topreal1(2,B))))) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k20_pscomp_1(k3_topreal1(2,B)))))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k20_pscomp_1(k3_topreal1(2,B))))),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_2_goedcpuc,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_2_goedcpuc(B)) <=> ? [C] : ? [D] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & A = k3_goedcpuc(B,C,D) ) ) ) )).
fof(fraenkel_a_1_2_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v6_graph_1(B) & l1_graph_1(B) ) => ( r2_hidden(A,a_1_2_graph_5(B)) <=> ? [C] : ( m2_finseq_2(C,u4_struct_0(B),k3_finseq_2(u4_struct_0(B))) & A = C & r1_xxreal_0(k3_finseq_1(C),k7_graph_1(B)) ) ) ) )).
fof(fraenkel_a_1_2_hahnban,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(B) & ~ v1_xboole_0(B) ) => ( r2_hidden(A,a_1_2_hahnban(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_2_hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_2_hilbert4(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(C,k5_hilbert4(k1_funct_1(B,C))) ) ) ) )).
fof(fraenkel_a_1_2_holder_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_holder_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k2_xcmplx_0(1,k6_xcmplx_0(B,1))) ) ) ) )).
fof(fraenkel_a_1_2_huffman1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_2_huffman1(B)) <=> ? [C] : ( m1_subset_1(C,k2_huffman1(k1_huffman1)) & A = k6_trees_2(k1_huffman1,C) & r2_tarski(C,B) ) ) )).
fof(fraenkel_a_1_2_integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v5_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( r2_hidden(A,a_1_2_integra1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(k1_funct_1(B,1),C) & r1_xxreal_0(C,k1_funct_1(B,k3_finseq_1(B))) ) ) ) )).
fof(fraenkel_a_1_2_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k18_euclid(C)) & r1_xxreal_0(k17_euclid(C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_2_jgraph_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_jgraph_5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k10_pscomp_1(B),k6_xcmplx_0(1,C)),k1_rlvect_1(k15_euclid(2),k11_pscomp_1(B),C)) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) ) ) ) )).
fof(fraenkel_a_1_2_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k12_euclid(C),B) ) ) ) )).
fof(fraenkel_a_1_2_jordan1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_jordan1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_1_2_jordan10,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_jordan10(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r2_jordan2c(2,B,C) ) ) ) )).
fof(fraenkel_a_1_2_jordan12,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_jordan12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) ) ) ) )).
fof(fraenkel_a_1_2_jordan1a,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_jordan1a(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_2_jordan1b,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_jordan1b(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_2_jordan1h,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_jordan1h(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) ) ) ) )).
fof(fraenkel_a_1_2_jordan1i,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_2_jordan1i(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k24_pscomp_1(k3_topreal1(2,B)))),k7_nat_d(k6_jordan5d(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k24_pscomp_1(k3_topreal1(2,B)))),1),1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k24_pscomp_1(k3_topreal1(2,B)))),k1_nat_1(k7_nat_d(k6_jordan5d(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k24_pscomp_1(k3_topreal1(2,B)))),1),1),1)),C) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(k1_finseq_6(u1_struct_0(k15_euclid(2)),B,k24_pscomp_1(k3_topreal1(2,B)))),1,1)),D) ) ) ) )).
fof(fraenkel_a_1_2_jordan1k,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_jordan1k(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & A = C & r2_jordan2c(B,k1_struct_0(k15_euclid(B)),C) ) ) ) )).
fof(fraenkel_a_1_2_jordan21,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_2_jordan21(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(C,k18_euclid(B)) & ~ r1_xxreal_0(k17_euclid(B),C) ) ) ) )).
fof(fraenkel_a_1_2_jordan22,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_jordan22(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_jordan21(k9_jordan6(k3_topreal1(2,k1_jordan9(B,C)))) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_2_jordan2b,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_jordan2b(B)) <=> ? [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) & A = C & k3_finseq_1(C) = B ) ) ) )).
fof(fraenkel_a_1_2_jordan2c,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_jordan2c(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & A = C & r2_jordan2c(B,k1_struct_0(k15_euclid(B)),C) ) ) ) )).
fof(fraenkel_a_1_2_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_2_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k17_euclid(C) & k18_euclid(C) = k7_pscomp_1(k3_topreal1(2,B)) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_2_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = B ) ) ) )).
fof(fraenkel_a_1_2_lang1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_lang1(B) ) => ( r2_hidden(A,a_1_2_lang1(B)) <=> ? [C] : ( m2_finseq_2(C,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = C & r1_tarski(k2_relset_1(u1_struct_0(B),C),k1_lang1(B)) & r3_lang1(B,k3_pre_poly(u1_struct_0(B),u2_lang1(B)),C) ) ) ) )).
fof(fraenkel_a_1_2_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_lattices(B) & v10_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_2_lattice3(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k9_filter_1(B,B,C,D) & r3_lattices(B,C,D) ) ) ) )).
fof(fraenkel_a_1_2_lattice5,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_2_lattice5(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) )).
fof(fraenkel_a_1_2_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_2_lattice6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & r3_lattices(B,k6_lattices(B),C) & C != k6_lattices(B) ) ) ) )).
fof(fraenkel_a_1_2_lattice8,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_2_lattice8(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k2_zfmisc_1(C,C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_2_latticea,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_2_latticea(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v2_filter_2(C,B) & v1_subset_1(C,u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_1_2_lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_2_lopclset(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(B)))) & A = k5_setfam_1(k7_lopclset(B),C) & r1_tarski(C,k10_lopclset(B)) ) ) ) )).
fof(fraenkel_a_1_2_ltlaxio4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( r2_hidden(A,a_1_2_ltlaxio4(B)) <=> ? [C] : ( ~ v2_ltlaxio3(C) & m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = C & r1_ltlaxio4(B,C) ) ) ) )).
fof(fraenkel_a_1_2_member_1,axiom,( ! [A] : ! [B] : ( v2_membered(B) => ( r2_hidden(A,a_1_2_member_1(B)) <=> ? [C] : ( m1_subset_1(C,k6_numbers) & A = k2_member_1(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_2_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_1_2_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,k2_metric_2(B)) & A = C & ? [D] : ( m1_subset_1(D,k2_metric_2(B)) & ? [E] : ( m1_subset_1(E,k1_numbers) & r4_metric_2(B,C,D,E) ) ) ) ) ) )).
fof(fraenkel_a_1_2_modal_1,axiom,( ! [A] : ! [B] : ( m2_trees_3(B,k2_trees_1(1),k1_relset_1(k2_trees_1(1),k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1)))) => ( r2_hidden(A,a_1_2_modal_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)) & r2_tarski(k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)),k1_relset_1(k2_trees_1(1),k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1)))) ) ) ) )).
fof(fraenkel_a_1_2_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_2_modelc_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k23_modelc_3(B))) & A = C & ? [D] : ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) & r2_modelc_2(D,B) & v7_modelc_2(D) & C = k32_modelc_3(B,D) ) ) ) ) )).
fof(fraenkel_a_1_2_moebius1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_2_moebius1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r1_xxreal_0(C,k5_numbers) & r1_nat_d(C,B) & ~ v1_moebius1(C) ) ) ) )).
fof(fraenkel_a_1_2_nat_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_nat_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_2_nat_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & r1_xxreal_0(C,k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_1_2_nattra_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_hidden(A,a_1_2_nattra_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k2_cat_1(B,C,D) ) ) ) )).
fof(fraenkel_a_1_2_necklace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_2_necklace(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_2_partit1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_2_partit1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_2_polynom7,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_polynom7(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_2_polyred,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_polyred(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_2_roughs_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_2_roughs_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & r1_tarski(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),C),k1_xboole_0) ) ) ) )).
fof(fraenkel_a_1_2_rvsum_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_2_rvsum_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r2_tarski(C,k4_finseq_1(B)) & ~ r1_xxreal_0(k1_funct_1(B,C),k1_rvsum_3(B)) ) ) ) )).
fof(fraenkel_a_1_2_scmfsa10,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_scmfsa10(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k7_subset_1(k4_ordinal1,k1_amistd_1(k5_card_1(3),k1_scmfsa_2,B,C),k2_amistd_1(k5_card_1(3),k1_scmfsa_2,C)) ) ) ) )).
fof(fraenkel_a_1_2_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_2_scmfsa_9(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k10_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_1_2_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_scmfsa_2)) ) => ( r2_hidden(A,a_1_2_scmfsa_m(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r2_tarski(k4_scmfsa_2(C),B) & C != k5_numbers ) ) ) )).
fof(fraenkel_a_1_2_scmpds_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ( r2_hidden(A,a_1_2_scmpds_9(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,C,B) ) ) ) )).
fof(fraenkel_a_1_2_scmyciel,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_2_scmyciel(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k3_tarski(B)) & m1_subset_1(D,k3_tarski(B)) & A = k4_tarski(C,D) & r2_tarski(k2_tarski(C,D),k1_scmyciel(B)) ) ) ) )).
fof(fraenkel_a_1_2_sgraph1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_2_sgraph1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) & A = k2_tarski(C,D) & r2_tarski(C,k2_finseq_1(B)) & r2_tarski(D,k2_finseq_1(B)) & C != D ) ) ) )).
fof(fraenkel_a_1_2_sppol_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_2_sppol_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_2_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_2_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(B)) & r1_xxreal_0(k6_pscomp_1(B),k17_euclid(C)) & k18_euclid(C) = k7_pscomp_1(B) ) ) ) )).
fof(fraenkel_a_1_2_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v1_sprect_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_2_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k17_euclid(C),k6_pscomp_1(k3_topreal1(2,B))) & ~ r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) & ~ r1_xxreal_0(k18_euclid(C),k9_pscomp_1(k3_topreal1(2,B))) & ~ r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_2_stirl2_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_stirl2_1(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(B)))) & A = C & v2_funct_2(C,k5_card_1(B)) & v1_stirl2_1(C,B,B) ) ) ) )).
fof(fraenkel_a_1_2_tbsp_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_2_tbsp_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_2_tdlat_1,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ( r2_hidden(A,a_1_2_tdlat_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v6_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_2_tdlat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_2_tdlat_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v6_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_2_topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_finset_1(B) => ( r2_hidden(A,a_1_2_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = k3_subset_1(B,C) & v1_finset_1(C) ) ) ) )).
fof(fraenkel_a_1_2_topgen_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( r2_hidden(A,a_1_2_topgen_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_numbers) & A = C & ? [D] : ( r2_tarski(D,B) & r1_topgen_3(D,C) ) ) ) ) )).
fof(fraenkel_a_1_2_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_2_topreal1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & k18_euclid(C) = k18_euclid(B) ) ) ) )).
fof(fraenkel_a_1_2_topreal4,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_2_topreal4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),2,B),C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),2,B))) ) ) ) )).
fof(fraenkel_a_1_2_treal_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_rcomp_1(k5_numbers,1),k1_rcomp_1(k5_numbers,1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers,1),k1_rcomp_1(k5_numbers,1)))) ) => ( r2_hidden(A,a_1_2_treal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r2_hidden(C,k1_rcomp_1(k5_numbers,1)) & r2_tarski(k1_funct_1(B,C),k1_rcomp_1(k5_numbers,C)) ) ) ) )).
fof(fraenkel_a_1_2_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v3_trees_3(B) ) => ( r2_hidden(A,a_1_2_trees_9(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_trees_1(D,k9_xtuple_0(C)) & A = k5_trees_2(C,D) ) ) ) )).
fof(fraenkel_a_1_2_uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_2_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_uniroots(k1_complfld))) & A = C & r1_nat_d(k6_group_1(k1_uniroots(k1_complfld),C),B) ) ) ) )).
fof(fraenkel_a_1_2_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_2_valued_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_2_waybel13,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_2_waybel13(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_2_waybel16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_2_waybel16(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v2_waybel_0(C,k7_lattice3(B)) & v13_waybel_0(C,k7_lattice3(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_lattice3(B)))) & A = C ) ) ) )).
fof(fraenkel_a_1_2_waybel18,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_2_waybel18(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k4_card_3(k1_funct_7(k12_pralg_1(B,k7_funcop_1(B,k9_waybel18)),C,k1_tarski(1))) ) ) )).
fof(fraenkel_a_1_2_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_2_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_2_waybel31,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_2_waybel31(B)) <=> ? [C] : ( v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_2_waybel33,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel33(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_2_waybel33(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(k4_tarski(E,D),k3_waybel28(B)) => r1_waybel_0(B,E,C) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_2_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_2_xxreal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_2_yellow_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_2_yellow_2(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_30_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_30_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B)))) ) ) ) )).
fof(fraenkel_a_1_31_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_31_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_32_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_32_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),D) ) ) ) )).
fof(fraenkel_a_1_33_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_33_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_34_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_34_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1))) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B)))) ) ) ) )).
fof(fraenkel_a_1_3_afproj,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(B) & v1_diraf(B) & l1_analoaf(B) ) => ( r2_hidden(A,a_1_3_afproj(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_domain_1(k1_zfmisc_1(u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)),C,D) & v1_aff_4(C,B) & v1_aff_4(D,B) & r1_aff_4(B,C,D) ) ) ) )).
fof(fraenkel_a_1_3_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_3_aofa_000(B)) <=> ? [C] : ( m1_trees_1(C,B) & A = k3_finseq_1(C) ) ) ) )).
fof(fraenkel_a_1_3_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & l1_unialg_1(B) ) => ( r2_hidden(A,a_1_3_aofa_a00(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k13_aofa_000(B,C,D) & C != k13_aofa_000(B,C,D) & D != k13_aofa_000(B,C,D) ) ) ) )).
fof(fraenkel_a_1_3_asympt_0,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_asympt_0(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k1_newton(B,C) ) ) ) )).
fof(fraenkel_a_1_3_asympt_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_1_3_asympt_1(B)) <=> ? [C] : ( m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = C & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(F,G) => ( r1_xxreal_0(k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,G)),k8_nat_1(k1_numbers,C,G)) & r1_xxreal_0(k8_nat_1(k1_numbers,C,G),k3_xcmplx_0(D,k8_nat_1(k1_numbers,B,G))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_3_autgroup,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_1_3_autgroup(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k6_algstr_0(B,C,D) = k6_algstr_0(B,D,C) ) ) ) ) )).
fof(fraenkel_a_1_3_brouwer3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) & A = C & r1_xxreal_0(k1_funct_1(C,B),k5_numbers) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_3_card_fin,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_card_fin(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v1_funct_1(C) & v1_funct_2(C,B,B) & v3_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) ) )).
fof(fraenkel_a_1_3_card_lar,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_3_card_lar(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_card_1(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_3_cardfin2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_3_cardfin2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v2_funct_1(C) & ! [D] : ~ ( r2_tarski(D,B) & k1_funct_1(C,D) = D ) ) ) ) )).
fof(fraenkel_a_1_3_cat_5,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_3_cat_5(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C & v1_relat_1(C) & v1_funct_1(C) ) ) ) )).
fof(fraenkel_a_1_3_catalan2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_catalan2(B)) <=> ? [C] : ( m1_subset_1(C,k3_catalan2(k4_ordinal1)) & A = C & k1_relset_1(k4_ordinal1,C) = k3_xcmplx_0(2,B) & v1_catalan2(C) ) ) ) )).
fof(fraenkel_a_1_3_coh_sp,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_3_coh_sp(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = k14_coh_sp(C) ) ) )).
fof(fraenkel_a_1_3_comput_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => ( r2_hidden(A,a_1_3_comput_1(B)) <=> ? [C] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & A = C & ? [D] : ( m2_rfunct_3(D,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & ? [E] : ( m2_rfunct_3(E,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r2_tarski(D,B) & r2_tarski(E,B) & r1_comput_1(C,D,E,F) ) ) ) ) ) ) )).
fof(fraenkel_a_1_3_convfun1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_hidden(A,a_1_3_convfun1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_hidden(C,k4_finseq_1(B)) & k12_supinf_2(B,C) = k5_numbers ) ) ) )).
fof(fraenkel_a_1_3_dblseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_dblseq_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_3_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_3_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v4_decomp_1(C,B) ) ) ) )).
fof(fraenkel_a_1_3_dickson,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_3_dickson(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_3_ens_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_hidden(A,a_1_3_ens_1(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k2_cat_1(B,C,D) ) ) ) )).
fof(fraenkel_a_1_3_euclid_7,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_euclid_7(B)) <=> ? [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) & A = C & ? [D] : ( m1_subset_1(D,k4_ordinal1) & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & C = k6_euclid_7(B,D) ) ) ) ) )).
fof(fraenkel_a_1_3_fcont_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_fcont_3(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_3_finance1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_finance1(B)) <=> ? [C] : ( m1_subset_1(C,k6_numbers) & A = C & r1_xxreal_0(B,C) & r1_xxreal_0(C,k1_xxreal_0) ) ) ) )).
fof(fraenkel_a_1_3_finseq_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_finseq_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_3_finseq_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_3_finseq_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k4_finseq_2(C,B) ) ) ) )).
fof(fraenkel_a_1_3_fomodel0,axiom,( ! [A] : ! [B] : ( v4_funct_1(B) => ( r2_hidden(A,a_1_3_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,k2_xboole_0(B,k1_tarski(k1_xboole_0))) & A = k10_xtuple_0(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_3_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) ) ) ) )).
fof(fraenkel_a_1_3_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B)))) ) ) ) )).
fof(fraenkel_a_1_3_goboard9,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_goboard9(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1))) ) ) ) )).
fof(fraenkel_a_1_3_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_1_3_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_3_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,1))) ) ) ) )).
fof(fraenkel_a_1_3_gobrd13,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_gobrd13(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_3_gobrd14,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_gobrd14(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_sprect_1(B))),C) & r1_xxreal_0(C,k7_pscomp_1(k3_topreal1(2,k1_sprect_1(B)))) ) ) ) )).
fof(fraenkel_a_1_3_goedcpuc,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_3_goedcpuc(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k5_goedcpuc(B,C) ) ) ) )).
fof(fraenkel_a_1_3_hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_3_hilbert4(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(C,k9_xtuple_0(k5_hilbert4(k1_funct_1(B,C)))) ) ) ) )).
fof(fraenkel_a_1_3_huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_3_huffman1(B)) <=> ? [C] : ( m1_trees_1(C,B) & A = k8_finseq_1(k4_ordinal1,k14_trees_3(k5_numbers),C) & r2_tarski(C,k3_trees_1(B)) ) ) ) )).
fof(fraenkel_a_1_3_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k18_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) & r1_xxreal_0(k17_euclid(C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_3_jgraph_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_jgraph_5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k13_pscomp_1(B),k6_xcmplx_0(1,C)),k1_rlvect_1(k15_euclid(2),k12_pscomp_1(B),C)) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) ) ) ) )).
fof(fraenkel_a_1_3_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k12_euclid(C),B) ) ) ) )).
fof(fraenkel_a_1_3_jordan1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_jordan1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_1_3_jordan10,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_jordan10(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_jordan2c(2,k3_topreal1(2,k1_jordan9(B,C))) ) ) ) )).
fof(fraenkel_a_1_3_jordan11,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_jordan11(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r1_jordan2c(2,B,C) ) ) ) )).
fof(fraenkel_a_1_3_jordan12,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_jordan12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_3_jordan1a,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_jordan1a(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_3_jordan1b,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_jordan1b(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_3_jordan1k,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_jordan1k(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k12_euclid(k5_algstr_0(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),C))) ) ) ) )).
fof(fraenkel_a_1_3_jordan21,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_3_jordan21(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(C,k18_euclid(B)) & ~ r1_xxreal_0(C,k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_1_3_jordan22,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_jordan22(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k18_euclid(k2_jordan21(k9_jordan6(k3_topreal1(2,k1_jordan9(B,C))))) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_3_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_3_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k17_euclid(C) & k18_euclid(C) = k9_pscomp_1(k3_topreal1(2,B)) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_3_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_3_lang1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_3_lang1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k4_tarski(B,k10_finseq_1(C,B)) & C = C ) ) ) )).
fof(fraenkel_a_1_3_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_3_lattice3(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,u1_struct_0(k1_lattice2(B))) & m1_subset_1(D,u1_struct_0(k1_lattice2(B))) & A = k9_filter_1(k1_lattice2(B),k1_lattice2(B),C,D) & r3_lattices(k1_lattice2(B),C,D) ) ) ) )).
fof(fraenkel_a_1_3_lexbfs,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_3_lexbfs(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_3_ltlaxio4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => ( r2_hidden(A,a_1_3_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = k5_ltlaxio4(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_3_measure6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_hidden(A,a_1_3_measure6(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & A = C & r1_tarski(B,C) & v2_rcomp_1(C) ) ) ) )).
fof(fraenkel_a_1_3_member_1,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ( r2_hidden(A,a_1_3_member_1(B)) <=> ? [C] : ( v1_xcmplx_0(C) & A = k5_xcmplx_0(C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_3_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_1_3_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,k2_metric_2(B)) & A = C & ? [D] : ( m1_subset_1(D,k2_metric_2(B)) & ? [E] : ( m1_subset_1(E,k1_numbers) & r4_metric_2(B,D,C,E) ) ) ) ) ) )).
fof(fraenkel_a_1_3_modal_1,axiom,( ! [A] : ! [B] : ( m2_trees_3(B,k2_trees_1(2),k1_relset_1(k2_trees_1(2),k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(2),k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers)))) => ( r2_hidden(A,a_1_3_modal_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)) & r2_tarski(k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)),k1_relset_1(k2_trees_1(2),k8_funcop_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_trees_1(2),k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers)))) ) ) ) )).
fof(fraenkel_a_1_3_modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_1_3_modelc_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_3_moebius1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_3_moebius1(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & ~ r1_xxreal_0(C,k5_numbers) & r1_nat_d(C,k6_moebius1(B)) ) ) ) )).
fof(fraenkel_a_1_3_nat_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_nat_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_3_nat_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & ~ r1_xxreal_0(C,k1_nat_1(B,1)) & r1_xxreal_0(C,k1_nat_1(k3_xcmplx_0(2,B),1)) ) ) ) )).
fof(fraenkel_a_1_3_necklace,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_necklace(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(C,k1_nat_1(C,1)) & r2_tarski(C,k5_card_1(k7_nat_d(B,1))) ) ) ) )).
fof(fraenkel_a_1_3_pua2mss1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_3_pua2mss1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_3_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_3_scmfsa_9(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),B)) ) ) ) )).
fof(fraenkel_a_1_3_scmpds_9,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ( r2_hidden(A,a_1_3_scmpds_9(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,C,k4_scmpds_2(B)) ) ) ) )).
fof(fraenkel_a_1_3_scmyciel,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_3_scmyciel(B)) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & A = C & r1_xxreal_0(k4_card_1(C),2) ) ) )).
fof(fraenkel_a_1_3_sf_mastr,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_3_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),B)) ) ) ) )).
fof(fraenkel_a_1_3_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_3_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k6_pscomp_1(B) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(B)) & r1_xxreal_0(k9_pscomp_1(B),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_3_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v1_sprect_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_3_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k8_pscomp_1(k3_topreal1(2,B)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_3_stirl2_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_3_stirl2_1(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(k5_numbers),k5_card_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k5_numbers),k5_card_1(B)))) & A = C & v2_funct_2(C,k5_card_1(B)) & v1_stirl2_1(C,k5_numbers,B) ) ) ) )).
fof(fraenkel_a_1_3_tdlat_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_3_tdlat_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v4_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_3_topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_3_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k3_subset_1(B,k6_domain_1(B,C)) ) ) ) )).
fof(fraenkel_a_1_3_topgen_3,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_3_topgen_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_numbers) & A = C & r1_topgen_3(B,C) ) ) )).
fof(fraenkel_a_1_3_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_3_topreal1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(C,k18_euclid(B)) & r1_xxreal_0(k17_euclid(B),C) ) ) ) )).
fof(fraenkel_a_1_3_treal_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_rcomp_1(k5_numbers,1),k1_rcomp_1(k5_numbers,1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_rcomp_1(k5_numbers,1),k1_rcomp_1(k5_numbers,1)))) ) => ( r2_hidden(A,a_1_3_treal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r2_hidden(C,k1_rcomp_1(k5_numbers,1)) & r2_tarski(k1_funct_1(B,C),k1_rcomp_1(C,1)) ) ) ) )).
fof(fraenkel_a_1_3_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v3_trees_3(B) ) => ( r2_hidden(A,a_1_3_trees_9(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k3_trees_9(C) ) ) ) )).
fof(fraenkel_a_1_3_uniroots,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_3_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_uniroots(k1_complfld))) & A = C & k6_group_1(k1_uniroots(k1_complfld),C) = B ) ) ) )).
fof(fraenkel_a_1_3_valued_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_3_valued_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_3_waybel11,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_3_waybel11(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(k4_tarski(E,D),k2_waybel11(B)) => r1_waybel_0(B,E,C) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_3_waybel16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_3_waybel16(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_3_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_3_waybel19(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & A = k7_subset_1(u1_struct_0(B),C,k6_waybel_0(B,D)) & r2_tarski(C,k5_waybel11(B)) ) ) ) )).
fof(fraenkel_a_1_3_waybel21,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_3_waybel21(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_3_waybel27,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel_8(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_3_waybel27(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(o_1_2_waybel27(B))) & A = k6_waybel_0(o_1_2_waybel27(B),C) & r2_tarski(C,u1_struct_0(k1_waybel_8(o_1_2_waybel27(B)))) ) ) ) )).
fof(fraenkel_a_1_3_waybel31,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_3_waybel31(B)) <=> ? [C] : ( v6_waybel23(C,B) & m1_waybel23(C,B) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_3_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_waybel32(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_3_waybel32(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k5_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_3_weddwitt,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v8_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( r2_hidden(A,a_1_3_weddwitt(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_uniroots(B)))) & A = C & r2_tarski(C,k3_weddwitt(k1_uniroots(B))) & k4_card_1(C) = 1 ) ) ) )).
fof(fraenkel_a_1_3_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_3_xxreal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_3_yellow_2,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_3_yellow_2(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_3_zmodul04,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & v3_zmodul03(B) & l1_zmodul01(B) ) => ( r2_hidden(A,a_1_3_zmodul04(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k13_zmodul02(o_0_0_zmodul04,B,C) & r2_tarski(C,o_1_2_zmodul04(B)) ) ) ) )).
fof(fraenkel_a_1_4_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_4_abcmiz_1(B)) <=> ? [C] : ( m1_subset_1(C,k10_xtuple_0(B)) & A = k1_abcmiz_1(C) ) ) ) )).
fof(fraenkel_a_1_4_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & v1_abcmiz_a(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_4_abcmiz_a(B)) <=> ? [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = C & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C) = k13_abcmiz_1(B) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_1_4_asympt_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_4_asympt_0(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k11_newton(B,C) ) ) ) )).
fof(fraenkel_a_1_4_bagorder,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_4_bagorder(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_4_bintree1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_dtconstr(B) & v2_dtconstr(B) & v3_bintree1(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_4_bintree1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_4_card_fin,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( r2_hidden(A,a_1_4_card_fin(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v2_funct_1(C) & ! [D] : ~ ( r2_tarski(D,B) & k1_funct_1(C,D) = k1_funct_1(k6_partfun1(B),D) ) ) ) ) )).
fof(fraenkel_a_1_4_card_lar,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_4_card_lar(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k6_classes1(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_4_cardfin2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_4_cardfin2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & A = C & v2_funct_1(C) & ! [D] : ~ ( r2_tarski(D,B) & k1_funct_1(C,D) = D ) ) ) ) )).
fof(fraenkel_a_1_4_cat_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( r2_hidden(A,a_1_4_cat_6(B)) <=> ? [C] : ( m1_subset_1(C,k1_cat_6(B)) & A = C & v11_cat_6(C,B) & r2_tarski(C,k1_cat_6(B)) ) ) ) )).
fof(fraenkel_a_1_4_cat_7,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ( r2_hidden(A,a_1_4_cat_7(B)) <=> ? [C] : ( m1_subset_1(C,k1_cat_6(B)) & A = C & v11_cat_6(C,B) & r2_tarski(C,k1_cat_6(B)) ) ) ) )).
fof(fraenkel_a_1_4_catalan2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_catalan2(k4_ordinal1)) => ( r2_hidden(A,a_1_4_catalan2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(B,C))) = C & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_4_coh_sp,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_4_coh_sp(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k15_coh_sp(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & A = k4_tarski(C,D) & v1_partfun1(C,D) & v1_relat_2(C) & v3_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(D,D))) ) ) )).
fof(fraenkel_a_1_4_comput_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) => ( r2_hidden(A,a_1_4_comput_1(B)) <=> ? [C] : ? [D] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & v3_comput_1(D) & m2_finseq_2(D,k2_comput_1(k4_ordinal1),k3_finseq_2(k2_comput_1(k4_ordinal1))) & A = k3_relat_1(k5_funct_6(D),C) & r2_tarski(C,B) & k18_margrel1(C) = k3_finseq_1(D) & r1_tarski(k10_xtuple_0(D),B) ) ) ) )).
fof(fraenkel_a_1_4_dblseq_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_4_dblseq_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_4_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_4_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v3_decomp_1(C,B) ) ) ) )).
fof(fraenkel_a_1_4_dickson,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r2_hidden(A,a_1_4_dickson(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_4_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_4_dtconstr(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_4_euclid_7,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_4_euclid_7(B)) <=> ? [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) & A = C & ? [D] : ( m1_subset_1(D,k4_ordinal1) & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & C = k6_euclid_7(B,D) ) ) ) ) )).
fof(fraenkel_a_1_4_finance1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_4_finance1(B)) <=> ? [C] : ( m1_subset_1(C,k6_numbers) & A = C & r1_xxreal_0(k2_xxreal_0,C) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_4_finseq_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_4_finseq_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_4_fomodel0,axiom,( ! [A] : ! [B] : ( v4_funct_1(B) => ( r2_hidden(A,a_1_4_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k10_xtuple_0(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_4_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( r2_hidden(A,a_1_4_fomodel1(B)) <=> ? [C] : ( m2_subset_1(C,k15_fomodel1(B),k16_fomodel1(B)) & A = k12_finseq_1(k16_fomodel1(B),C) ) ) ) )).
fof(fraenkel_a_1_4_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(k5_numbers,1),1)),C) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(k1_nat_1(k5_numbers,1),1),1))) ) ) ) )).
fof(fraenkel_a_1_4_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),D) ) ) ) )).
fof(fraenkel_a_1_4_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_4_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_1_4_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_4_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_matrix_0(k2_goboard2(B)))),D) ) ) ) )).
fof(fraenkel_a_1_4_gobrd13,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_4_gobrd13(B)) <=> ? [C] : ? [D] : ( v7_ordinal1(C) & v7_ordinal1(D) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,D) & r2_hidden(k4_tarski(C,D),k2_matrix_0(k2_goboard2(B))) ) ) ) )).
fof(fraenkel_a_1_4_gobrd14,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_gobrd14(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_sprect_1(B))),C) & r1_xxreal_0(C,k8_pscomp_1(k3_topreal1(2,k1_sprect_1(B)))) ) ) ) )).
fof(fraenkel_a_1_4_goedcpuc,axiom,( ! [A] : ! [B] : ( m1_qc_lang1(B) => ( r2_hidden(A,a_1_4_goedcpuc(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k1_qc_lang1(k5_goedcpuc(B,C)) ) ) ) )).
fof(fraenkel_a_1_4_graph_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_4_graph_4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_4_huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_4_huffman1(B)) <=> ? [C] : ( m1_trees_1(C,B) & A = k8_finseq_1(k4_ordinal1,k14_trees_3(1),C) & r2_tarski(C,k3_trees_1(B)) ) ) ) )).
fof(fraenkel_a_1_4_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_4_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k7_xcmplx_0(k17_euclid(C),k12_euclid(C))) & r1_xxreal_0(k5_numbers,k18_euclid(C)) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_4_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_4_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k12_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_4_jordan10,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_jordan10(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r1_jordan2c(2,B,C) ) ) ) )).
fof(fraenkel_a_1_4_jordan12,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_jordan12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_4_jordan1a,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_jordan1a(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_4_jordan1b,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_jordan1b(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_4_jordan22,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_jordan22(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_jordan2c(2,k3_topreal1(2,k1_jordan9(B,C))) ) ) ) )).
fof(fraenkel_a_1_4_jordan2c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_4_jordan2c(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(1,1),1)),C) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_matrix_0(k2_goboard2(B))))) ) ) ) )).
fof(fraenkel_a_1_4_jordan5d,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_4_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k17_euclid(C) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_4_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_4_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k18_euclid(C),B) ) ) ) )).
fof(fraenkel_a_1_4_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_4_lattice6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & r3_lattices(B,C,k5_lattices(B)) & C != k5_lattices(B) ) ) ) )).
fof(fraenkel_a_1_4_lattice8,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_4_lattice8(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k1_xfamily(k1_funct_1(o_1_3_lattice8(B),C)) ) ) ) )).
fof(fraenkel_a_1_4_ltlaxio4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( r2_hidden(A,a_1_4_ltlaxio4(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_hilbert1) & m1_subset_1(D,k1_hilbert1) & A = k1_ltlaxio2(C,D) & r2_tarski(k4_hilbert1(C,D),B) ) ) ) )).
fof(fraenkel_a_1_4_measure6,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_hidden(A,a_1_4_measure6(B)) <=> ? [C] : ( v1_xcmplx_0(C) & A = k4_xcmplx_0(C) & r2_hidden(C,B) ) ) ) )).
fof(fraenkel_a_1_4_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_1_4_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k2_metric_2(B),k2_metric_2(B))) & A = C & ? [D] : ( m1_subset_1(D,k2_metric_2(B)) & ? [E] : ( m1_subset_1(E,k2_metric_2(B)) & ? [F] : ( m1_subset_1(F,k1_numbers) & C = k1_domain_1(k2_metric_2(B),k2_metric_2(B),D,E) & r4_metric_2(B,D,E,F) ) ) ) ) ) ) )).
fof(fraenkel_a_1_4_modelc_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_4_modelc_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_1_4_nat_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_4_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & r1_xxreal_0(C,k1_nat_1(k3_xcmplx_0(2,B),1)) ) ) ) )).
fof(fraenkel_a_1_4_necklace,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_4_necklace(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(C,k1_nat_1(C,1)) & r2_tarski(C,k7_nat_d(B,1)) ) ) ) )).
fof(fraenkel_a_1_4_scmfsa_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_4_scmfsa_9(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),B)) ) ) ) )).
fof(fraenkel_a_1_4_scmpds_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_4_scmpds_9(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmpds_2)) & A = k7_subset_1(k4_ordinal1,k1_amistd_1(k5_card_1(2),k1_scmpds_2,B,C),k2_amistd_1(k5_card_1(2),k1_scmpds_2,C)) ) ) ) )).
fof(fraenkel_a_1_4_scmyciel,axiom,( ! [A] : ! [B] : ( v4_scmyciel(B) => ( r2_hidden(A,a_1_4_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,k2_xboole_0(k2_xboole_0(k3_tarski(B),k2_zfmisc_1(k3_tarski(B),k1_tarski(k3_tarski(B)))),k1_tarski(k3_tarski(B)))) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_4_sf_mastr,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( r2_hidden(A,a_1_4_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),B)) ) ) ) )).
fof(fraenkel_a_1_4_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_4_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k8_pscomp_1(B) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(B)) & r1_xxreal_0(k9_pscomp_1(B),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_4_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v1_sprect_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_4_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) & k18_euclid(C) = k9_pscomp_1(k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_4_stirl2_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_4_stirl2_1(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(k5_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(k5_numbers)))) & A = C & v2_funct_2(C,k5_card_1(k5_numbers)) & v1_stirl2_1(C,B,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_4_tdlat_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_4_tdlat_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v5_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_4_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_4_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k1_topgen_2(B,C) ) ) ) )).
fof(fraenkel_a_1_4_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_4_topreal1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k17_euclid(B) & r1_xxreal_0(k18_euclid(C),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_1_4_treal_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_4_treal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(B,C) & r1_xxreal_0(C,1) ) ) ) )).
fof(fraenkel_a_1_4_trees_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_4_trees_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k9_finseq_1(C) & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_4_uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_4_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_uniroots(k1_complfld))) & A = C & k6_group_1(k1_uniroots(k1_complfld),C) = B ) ) ) )).
fof(fraenkel_a_1_4_valued_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) ) => ( r2_hidden(A,a_1_4_valued_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k15_finseq_1(B))) ) ) ) )).
fof(fraenkel_a_1_4_waybel11,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_4_waybel11(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(k4_tarski(E,D),k2_waybel11(B)) => r1_waybel_0(B,E,C) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_4_waybel19,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_4_waybel19(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k7_subset_1(u1_struct_0(B),C,k4_waybel_0(B,D)) & r2_tarski(C,k5_waybel11(B)) & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_1_4_waybel31,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_4_waybel31(B)) <=> ? [C] : ( v6_waybel23(C,B) & m1_waybel23(C,B) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_4_waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_4_waybel32(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k5_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_4_yellow_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_4_yellow_2(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_5_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & v1_abcmiz_a(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_5_abcmiz_a(B)) <=> ? [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = C & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C) = k12_abcmiz_1(B) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_1_5_cardfin2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_5_cardfin2(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_nat_1(B,1),k1_nat_1(B,1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_nat_1(B,1),k1_nat_1(B,1)))) & A = C & v2_funct_1(C) & ! [D] : ~ ( r2_tarski(D,k1_nat_1(B,1)) & k1_funct_1(C,D) = D ) ) ) ) )).
fof(fraenkel_a_1_5_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & v4_cat_5(B) & l1_cat_1(B) ) => ( r2_hidden(A,a_1_5_cat_5(B)) <=> ? [C] : ( m1_subset_1(C,u4_struct_0(B)) & A = k8_cat_5(B,C) ) ) ) )).
fof(fraenkel_a_1_5_cat_7,axiom,( ! [A] : ! [B] : ( ( v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( r2_hidden(A,a_1_5_cat_7(B)) <=> ? [C] : ( m1_subset_1(C,k1_cat_6(B)) & A = C & v11_cat_6(C,B) & r2_tarski(C,k1_cat_6(B)) ) ) ) )).
fof(fraenkel_a_1_5_catalan2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_5_catalan2(B)) <=> ? [C] : ( m1_subset_1(C,k3_catalan2(k4_ordinal1)) & A = C & r2_tarski(C,k2_catalan2(k3_xcmplx_0(2,B),B)) & a_1_4_catalan2(C) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_1_5_coh_sp,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_5_coh_sp(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k16_coh_sp(B)) & m1_subset_1(D,k16_coh_sp(B)) & A = k1_funct_2(k17_coh_sp(B,C),k17_coh_sp(B,D)) ) ) )).
fof(fraenkel_a_1_5_comput_1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_5_comput_1(B)) <=> ? [C] : ( m2_finseq_2(C,B,k3_finseq_2(B)) & A = C & k3_finseq_1(C) = k5_numbers ) ) )).
fof(fraenkel_a_1_5_dblseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v6_membered(B) ) => ( r2_hidden(A,a_1_5_dblseq_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k1_nat_1(C,1) & r2_tarski(k1_nat_1(C,1),B) ) ) ) )).
fof(fraenkel_a_1_5_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_5_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k1_tops_1(B,C) = k3_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_5_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_lang1(B) ) => ( r2_hidden(A,a_1_5_dtconstr(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(B,C,D) ) ) ) ) )).
fof(fraenkel_a_1_5_finseq_2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_5_finseq_2(B)) <=> ? [C] : ( m2_finseq_2(C,B,k3_finseq_2(B)) & A = C & k3_finseq_1(C) = 1 ) ) )).
fof(fraenkel_a_1_5_finseq_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_5_finseq_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_1_5_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_5_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_5_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_5_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B)))) ) ) ) )).
fof(fraenkel_a_1_5_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_5_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_5_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_5_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_matrix_0(k2_goboard2(B))))) ) ) ) )).
fof(fraenkel_a_1_5_gobrd14,axiom,( ! [A] : ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_5_gobrd14(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ ( r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_sprect_1(B))),k17_euclid(C)) & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,k1_sprect_1(B)))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_sprect_1(B))),k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,k1_sprect_1(B)))) ) ) ) ) )).
fof(fraenkel_a_1_5_graph_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_5_graph_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_5_graph_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_5_graph_4(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_5_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_5_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k7_xcmplx_0(k17_euclid(C),k12_euclid(C)),B) & r1_xxreal_0(k5_numbers,k18_euclid(C)) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_5_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_5_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k12_euclid(k5_algstr_0(k15_euclid(2),C,k19_euclid(k5_numbers,k5_numbers)))) ) ) ) )).
fof(fraenkel_a_1_5_jordan12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_5_jordan12(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_5_jordan1a,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_5_jordan1a(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_5_jordan1b,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_5_jordan1b(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_5_jordan2c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_5_jordan2c(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r2_jordan2c(2,k3_topreal1(2,k1_sprect_1(B)),C) ) ) ) )).
fof(fraenkel_a_1_5_jordan5d,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_5_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k18_euclid(C) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_5_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_5_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k18_euclid(C) = B ) ) ) )).
fof(fraenkel_a_1_5_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v2_lattice6(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_5_lattice6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v3_lattice6(C,B) ) ) ) )).
fof(fraenkel_a_1_5_lattice8,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_5_lattice8(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k2_xfamily(k1_funct_1(o_1_3_lattice8(B),C)) ) ) ) )).
fof(fraenkel_a_1_5_ltlaxio4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( r2_hidden(A,a_1_5_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = C & k2_relset_1(k1_hilbert1,k8_ltlaxio3(C)) = k7_ltlaxio4(k2_relset_1(k1_hilbert1,k8_ltlaxio3(B))) & k2_relset_1(k1_hilbert1,k9_ltlaxio3(C)) = k7_ltlaxio4(k2_relset_1(k1_hilbert1,k9_ltlaxio3(B))) ) ) ) )).
fof(fraenkel_a_1_5_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_1_5_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,k3_zfmisc_1(k2_metric_2(B),k2_metric_2(B),k1_numbers)) & A = C & ? [D] : ( m1_subset_1(D,k2_metric_2(B)) & ? [E] : ( m1_subset_1(E,k2_metric_2(B)) & ? [F] : ( m1_subset_1(F,k1_numbers) & C = k4_domain_1(k2_metric_2(B),k2_metric_2(B),k1_numbers,D,E,F) & r4_metric_2(B,D,E,F) ) ) ) ) ) ) )).
fof(fraenkel_a_1_5_mfold_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & v1_mfold_0(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_5_mfold_0(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k1_connsp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_5_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => ( r2_hidden(A,a_1_5_msafree5(B)) <=> ? [C] : ? [D] : ? [E] : ( v7_ordinal1(C) & m2_finseq_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & v1_trees_1(E) & A = k8_finseq_1(k4_ordinal1,k14_trees_3(C),D) & r2_tarski(D,k3_trees_1(E)) & r2_tarski(k2_xcmplx_0(C,1),k4_finseq_1(k1_funct_6(B))) & E = k1_funct_1(k1_funct_6(B),k2_xcmplx_0(C,1)) ) ) ) )).
fof(fraenkel_a_1_5_nat_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_5_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_5_necklace,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_5_necklace(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(k1_nat_1(C,1),C) & r2_tarski(C,k5_card_1(k7_nat_d(B,1))) ) ) ) )).
fof(fraenkel_a_1_5_pscomp_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_5_pscomp_1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_5_scmyciel,axiom,( ! [A] : ! [B] : ( v4_scmyciel(B) => ( r2_hidden(A,a_1_5_scmyciel(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k3_tarski(B)) & m1_subset_1(D,k3_tarski(B)) & A = k2_tarski(C,k4_tarski(D,k3_tarski(B))) & r2_tarski(k2_tarski(C,D),k1_scmyciel(B)) ) ) ) )).
fof(fraenkel_a_1_5_sf_mastr,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( r2_hidden(A,a_1_5_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),k1_scmfsa6a(B))) ) ) ) )).
fof(fraenkel_a_1_5_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_5_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k6_pscomp_1(B) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(B)) & r1_xxreal_0(k9_pscomp_1(B),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_5_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v1_sprect_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_5_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,B)),k17_euclid(C)) & k18_euclid(C) = k7_pscomp_1(k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_5_stirl2_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_5_stirl2_1(B)) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(1)))) & A = C & v2_funct_2(C,k5_card_1(1)) & v1_stirl2_1(C,B,1) ) ) ) )).
fof(fraenkel_a_1_5_tdlat_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_5_tdlat_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v6_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_5_tdlat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v4_tdlat_3(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_5_tdlat_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v4_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_5_topgen_5,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,u1_struct_0(k15_euclid(2)),k2_topgen_5) => ( r2_hidden(A,a_1_5_topgen_5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k4_subset_1(u1_struct_0(k15_euclid(2)),k1_topreal9(2,k19_euclid(k17_euclid(B),C),C),k6_domain_1(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(B),k5_numbers))) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_5_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_5_topreal1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(k17_euclid(B),C) & r1_xxreal_0(C,k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_1_5_treal_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_5_treal_1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = C & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_5_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v4_trees_3(B) ) => ( r2_hidden(A,a_1_5_trees_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k9_finseq_1(C) & ~ r1_xxreal_0(k3_finseq_1(B),C) ) ) ) )).
fof(fraenkel_a_1_5_uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_5_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_uniroots(k1_complfld))) & A = C & r2_tarski(C,k2_uniroots(B)) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),C),B) ) ) ) )).
fof(fraenkel_a_1_5_waybel16,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_5_waybel16(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) & A = C ) ) )).
fof(fraenkel_a_1_5_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_5_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_5_waybel29,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_5_waybel29(B)) <=> ? [C] : ? [D] : ( v3_pre_topc(C,o_1_4_waybel29(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(o_1_4_waybel29(B)))) & m1_subset_1(D,u1_struct_0(o_1_4_waybel29(B))) & A = k4_tarski(C,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_1_5_waybel30,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_5_waybel30(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k7_subset_1(u1_struct_0(B),C,k4_waybel_0(B,D)) & r2_tarski(C,k5_waybel11(B)) & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_1_5_waybel31,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_5_waybel31(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C ) ) ) )).
fof(fraenkel_a_1_5_waybel33,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_5_waybel33(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(o_1_3_waybel33(B))) & A = k3_subset_1(u1_struct_0(o_1_3_waybel33(B)),k6_waybel_0(o_1_3_waybel33(B),C)) ) ) ) )).
fof(fraenkel_a_1_6_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_6_abcmiz_1(B)) <=> ? [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = C & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C) = k14_abcmiz_1(B) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_1_6_card_3,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(B) & v2_card_3(B) ) => ( r2_hidden(A,a_1_6_card_3(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_6_cat_7,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r2_hidden(A,a_1_6_cat_7(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k4_tarski(k4_tarski(C,C),C) ) ) ) )).
fof(fraenkel_a_1_6_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_6_catalan2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(C,k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(B,C)))) ) ) ) )).
fof(fraenkel_a_1_6_catalg_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_6_catalg_1(B)) <=> ? [C] : ( m2_finseq_2(C,B,k3_finseq_2(B)) & A = C & k3_finseq_1(C) = 2 ) ) ) )).
fof(fraenkel_a_1_6_coh_sp,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_6_coh_sp(B)) <=> ? [C] : ? [D] : ? [E] : ( m1_subset_1(C,k16_coh_sp(B)) & m1_subset_1(D,k16_coh_sp(B)) & m1_subset_1(E,k19_coh_sp(B)) & A = k4_tarski(k4_tarski(C,D),E) & ( k17_coh_sp(B,D) = k1_xboole_0 => k17_coh_sp(B,C) = k1_xboole_0 ) & v1_funct_1(E) & v1_funct_2(E,k17_coh_sp(B,C),k17_coh_sp(B,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k17_coh_sp(B,C),k17_coh_sp(B,D)))) & ! [F] : ! [G] : ( r2_hidden(k4_tarski(F,G),k18_coh_sp(B,C)) => r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,G)),k18_coh_sp(B,D)) ) ) ) )).
fof(fraenkel_a_1_6_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_6_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k1_tops_1(B,C) = k2_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_6_dilworth,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & v4_dilworth(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_6_dilworth(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v7_dilworth(C,B) ) ) ) )).
fof(fraenkel_a_1_6_finseq_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_6_finseq_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_6_finseq_2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_6_finseq_2(B)) <=> ? [C] : ( m2_finseq_2(C,B,k3_finseq_2(B)) & A = C & k3_finseq_1(C) = 2 ) ) )).
fof(fraenkel_a_1_6_finseq_3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_6_finseq_3(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k10_finseq_1(C,D) ) ) ) )).
fof(fraenkel_a_1_6_fomodel0,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_6_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = C ) ) )).
fof(fraenkel_a_1_6_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_6_funct_7(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_tarski(C,k1_relset_1(k4_ordinal1,B)) ) ) ) )).
fof(fraenkel_a_1_6_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_6_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(k5_numbers,1)))) ) ) ) )).
fof(fraenkel_a_1_6_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_6_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),D) ) ) ) )).
fof(fraenkel_a_1_6_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_6_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_6_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_6_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),k1_matrix_0(k2_goboard2(B)))),C) ) ) ) )).
fof(fraenkel_a_1_6_gobrd14,axiom,( ! [A] : ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_6_gobrd14(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k17_euclid(C),k6_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & ~ r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k17_euclid(C)) & ~ r1_xxreal_0(k18_euclid(C),k9_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B))))) & ~ r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,k1_sprect_1(k3_topreal1(2,B)))),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_6_graph_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_6_graph_2(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_6_huffman1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_hidden(A,a_1_6_huffman1(B)) <=> ? [C] : ( m1_trees_1(C,k9_xtuple_0(B)) & A = k8_finseq_1(k4_ordinal1,k14_trees_3(k5_numbers),C) & r2_tarski(C,k3_trees_1(k9_xtuple_0(B))) ) ) ) )).
fof(fraenkel_a_1_6_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_6_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k3_xcmplx_0(B,k12_euclid(C)),k17_euclid(C)) & r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_6_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_6_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k12_euclid(k5_algstr_0(k15_euclid(2),C,k19_euclid(k5_numbers,k5_numbers))) = B ) ) ) )).
fof(fraenkel_a_1_6_jordan1a,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_6_jordan1a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k17_euclid(B) & r1_xxreal_0(k18_euclid(B),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_6_jordan2c,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_6_jordan2c(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k12_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_6_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_6_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k17_euclid(C) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_6_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_6_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_6_lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_lattice6(B) & l3_lattices(B) ) => ( r2_hidden(A,a_1_6_lattice6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = C & v4_lattice6(C,B) ) ) ) )).
fof(fraenkel_a_1_6_lattice8,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_6_lattice8(B)) <=> ? [C] : ? [D] : ? [E] : ? [F] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_domain_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),C,D,E,F) & r3_orders_2(B,k3_lattice5(u1_struct_0(B),B,k16_lattice5(B),C,D),k13_lattice3(B,E,F)) ) ) ) )).
fof(fraenkel_a_1_6_ltlaxio4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( r2_hidden(A,a_1_6_ltlaxio4(B)) <=> ? [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & A = C & r2_tarski(C,k6_ltlaxio4(k8_ltlaxio4(B))) ) ) ) )).
fof(fraenkel_a_1_6_nat_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( r2_hidden(A,a_1_6_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = C & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_6_necklace,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_6_necklace(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k4_tarski(k1_nat_1(C,1),C) & r2_tarski(C,k7_nat_d(B,1)) ) ) ) )).
fof(fraenkel_a_1_6_pscomp_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_6_pscomp_1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_6_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r2_hidden(A,a_1_6_pua2mss1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_6_scmyciel,axiom,( ! [A] : ! [B] : ( v4_scmyciel(B) => ( r2_hidden(A,a_1_6_scmyciel(B)) <=> ? [C] : ( m1_subset_1(C,k3_tarski(B)) & A = k2_tarski(k3_tarski(B),k4_tarski(C,k3_tarski(B))) & r2_tarski(C,k3_tarski(B)) ) ) ) )).
fof(fraenkel_a_1_6_sf_mastr,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_hidden(A,a_1_6_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(C) & r2_tarski(C,k2_tarski(B,k2_compos_1(k1_scmfsa_2))) ) ) ) )).
fof(fraenkel_a_1_6_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_6_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(B)) & r1_xxreal_0(k6_pscomp_1(B),k17_euclid(C)) & k18_euclid(C) = k7_pscomp_1(B) ) ) ) )).
fof(fraenkel_a_1_6_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v1_sprect_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_6_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k6_pscomp_1(k3_topreal1(2,B)) & r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,B))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_6_tdlat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v4_tdlat_3(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_6_tdlat_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v5_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_6_topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_6_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k6_domain_1(B,C) ) ) ) )).
fof(fraenkel_a_1_6_topgen_5,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,u1_struct_0(k15_euclid(2)),k2_topgen_5) => ( r2_hidden(A,a_1_6_topgen_5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_topreal9(2,k19_euclid(k17_euclid(B),k18_euclid(B)),C),k2_topgen_5) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_6_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_6_topreal1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & k18_euclid(C) = k18_euclid(B) ) ) ) )).
fof(fraenkel_a_1_6_trees_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_6_trees_3(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k9_finseq_1(C) & ~ r1_xxreal_0(B,C) ) ) ) )).
fof(fraenkel_a_1_6_uniroots,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_6_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_uniroots(k1_complfld))) & A = C & k6_group_1(k1_uniroots(k1_complfld),C) = k2_xcmplx_0(B,1) ) ) ) )).
fof(fraenkel_a_1_6_waybel32,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v25_waybel_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_6_waybel32(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(k4_tarski(E,D),k2_waybel11(B)) => r1_waybel_0(B,E,C) ) ) ) ) ) ) ) )).
fof(fraenkel_a_1_7_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_7_abcmiz_1(B)) <=> ? [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = C & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C) = k13_abcmiz_1(B) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_1_7_armstrng,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_7_armstrng(B)) <=> ? [C] : ( m2_finseq_2(C,k5_margrel1,k3_finseq_2(k5_margrel1)) & A = C & k3_finseq_1(C) = B ) ) ) )).
fof(fraenkel_a_1_7_brouwer3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_7_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(k1_nat_1(B,1),1)))) & A = C & r1_xxreal_0(k1_funct_1(C,k1_nat_1(k1_nat_1(B,1),1)),k5_numbers) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_7_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_cat_5(B) ) => ( r2_hidden(A,a_1_7_cat_5(B)) <=> ? [C] : ? [D] : ( m1_cat_5(C,B) & m1_cat_5(D,B) & A = k4_cat_2(C,D) ) ) ) )).
fof(fraenkel_a_1_7_cat_7,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r2_hidden(A,a_1_7_cat_7(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k4_tarski(k4_tarski(D,k4_tarski(C,D)),k4_tarski(C,D)) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_1_7_cohsp_1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_7_cohsp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & A = C & v1_finset_1(C) ) ) )).
fof(fraenkel_a_1_7_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_7_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k1_tops_1(B,C) = k1_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_7_finseq_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_7_finseq_1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & ~ r1_xxreal_0(k1_nat_1(B,1),C) ) ) ) )).
fof(fraenkel_a_1_7_finseq_2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,a_1_7_finseq_2(B)) <=> ? [C] : ( m2_finseq_2(C,B,k3_finseq_2(B)) & A = C & k3_finseq_1(C) = 3 ) ) )).
fof(fraenkel_a_1_7_finseq_3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_7_finseq_3(B)) <=> ? [C] : ? [D] : ? [E] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,B) & A = k11_finseq_1(C,D,E) ) ) ) )).
fof(fraenkel_a_1_7_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_7_fomodel3(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_finseq_1(C) ) ) ) )).
fof(fraenkel_a_1_7_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_7_funct_7(B)) <=> ? [C] : ( v7_ordinal1(C) & A = C & r2_tarski(C,k1_relset_1(k4_ordinal1,B)) ) ) ) )).
fof(fraenkel_a_1_7_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) & v1_glib_002(B) & v1_glib_003(B) & v7_glib_003(B) ) => ( r2_hidden(A,a_1_7_glib_004(B)) <=> ? [C] : ( m1_subset_1(C,k3_glib_004(B)) & A = C & v9_glib_000(C,B) & v3_glib_002(C) & v1_glib_003(C) & v4_glib_003(C,B) & v1_glib_004(C,B) & m1_glib_000(C,B) ) ) ) )).
fof(fraenkel_a_1_7_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_7_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),D) ) ) ) )).
fof(fraenkel_a_1_7_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_7_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1))) & ~ r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B)))) ) ) ) )).
fof(fraenkel_a_1_7_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_7_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_7_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_7_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),1)),C) ) ) ) )).
fof(fraenkel_a_1_7_huffman1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_hidden(A,a_1_7_huffman1(B)) <=> ? [C] : ( m1_trees_1(C,k9_xtuple_0(B)) & A = k8_finseq_1(k4_ordinal1,k14_trees_3(1),C) & r2_tarski(C,k3_trees_1(k9_xtuple_0(B))) ) ) ) )).
fof(fraenkel_a_1_7_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_7_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k3_xcmplx_0(B,k12_euclid(C))) & r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_7_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_7_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,k19_euclid(k5_numbers,k5_numbers))),B) ) ) ) )).
fof(fraenkel_a_1_7_jordan1a,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_7_jordan1a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & k18_euclid(C) = k18_euclid(B) ) ) ) )).
fof(fraenkel_a_1_7_jordan2c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_7_jordan2c(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = C & r1_jordan2c(2,k3_topreal1(2,k1_sprect_1(B)),C) ) ) ) )).
fof(fraenkel_a_1_7_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_7_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = k18_euclid(C) & r2_tarski(C,k3_topreal1(2,B)) ) ) ) )).
fof(fraenkel_a_1_7_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_7_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(B,k7_partfun1(k1_numbers,C,1)) ) ) ) )).
fof(fraenkel_a_1_7_lattice5,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_7_lattice5(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k1_xfamily(k1_funct_1(o_1_6_lattice5(B),C)) ) ) ) )).
fof(fraenkel_a_1_7_nat_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_7_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = k11_newton(C,k11_nat_3(k4_newton(B,k2_nat_1(2,B)),C)) & r1_xxreal_0(C,k3_square_1(k2_nat_1(2,B))) & ~ r1_xxreal_0(k11_nat_3(k4_newton(B,k2_nat_1(2,B)),C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_7_pscomp_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_7_pscomp_1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_1_7_scmyciel,axiom,( ! [A] : ! [B] : ( v4_scmyciel(B) => ( r2_hidden(A,a_1_7_scmyciel(B)) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k3_tarski(B))) & A = C & r1_xxreal_0(k4_card_1(C),2) ) ) ) )).
fof(fraenkel_a_1_7_sprect_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_7_sprect_1(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k8_pscomp_1(B)) & r1_xxreal_0(k6_pscomp_1(B),k17_euclid(C)) & k18_euclid(C) = k9_pscomp_1(B) ) ) ) )).
fof(fraenkel_a_1_7_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_7_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,B)),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_1_7_tdlat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v4_tdlat_3(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_7_tdlat_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v6_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_7_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_tdlat_3(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_7_topgen_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),C) ) ) ) )).
fof(fraenkel_a_1_7_topgen_5,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_7_topgen_5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k4_subset_1(u1_struct_0(k15_euclid(2)),k1_topreal9(2,k19_euclid(k17_euclid(B),C),C),k6_domain_1(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(B),k5_numbers))) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_7_topreal1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_7_topreal1(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k19_euclid(C,k18_euclid(B)) & r1_xxreal_0(C,k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_1_7_uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r2_hidden(A,a_1_7_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_uniroots(k1_complfld))) & A = C & r2_tarski(C,k2_uniroots(B)) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),C),1) ) ) ) )).
fof(fraenkel_a_1_8_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) ) => ( r2_hidden(A,a_1_8_abcmiz_1(B)) <=> ? [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = C & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C) = k12_abcmiz_1(B) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_1_8_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_freealg(B) ) => ( r2_hidden(A,a_1_8_aofa_000(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k3_freealg(k19_aofa_000,B))) & A = C & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_lang1(k3_freealg(k19_aofa_000,B),C,D) ) ) ) ) )).
fof(fraenkel_a_1_8_brouwer3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,a_1_8_brouwer3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(k1_nat_1(B,1),1)))) & A = C & r1_xxreal_0(k5_numbers,k1_funct_1(C,k1_nat_1(k1_nat_1(B,1),1))) & k12_euclid(C) = 1 ) ) ) )).
fof(fraenkel_a_1_8_cat_7,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r2_hidden(A,a_1_8_cat_7(B)) <=> ? [C] : ? [D] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & A = k4_tarski(k4_tarski(k4_tarski(C,D),C),k4_tarski(C,D)) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_1_8_cohsp_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_8_cohsp_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k1_tarski(C) ) ) ) )).
fof(fraenkel_a_1_8_comput_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_8_comput_1(B)) <=> ? [C] : ( m2_rfunct_3(C,k3_finseq_2(B),B,k3_rfunct_3(k3_finseq_2(B),B)) & A = C & v2_margrel1(C) ) ) ) )).
fof(fraenkel_a_1_8_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_8_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k1_tops_1(B,C) = k4_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_8_finseq_1,axiom,( ! [A] : ! [B] : ( v3_finseq_1(B) => ( r2_hidden(A,a_1_8_finseq_1(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k10_xtuple_0(C) & r2_tarski(C,B) ) ) ) )).
fof(fraenkel_a_1_8_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) ) => ( r2_hidden(A,a_1_8_funct_7(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_hidden(C,k1_relset_1(k4_ordinal1,B)) ) ) ) )).
fof(fraenkel_a_1_8_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_8_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(k5_numbers,1))),D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(k1_nat_1(k5_numbers,1),1)))) ) ) ) )).
fof(fraenkel_a_1_8_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_8_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_8_gobrd11,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_8_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(fraenkel_a_1_8_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_8_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),1))) ) ) ) )).
fof(fraenkel_a_1_8_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_8_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k7_xcmplx_0(k18_euclid(C),k12_euclid(C))) & r1_xxreal_0(k5_numbers,k17_euclid(C)) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_8_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_8_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,k19_euclid(k5_numbers,k5_numbers))),B) ) ) ) )).
fof(fraenkel_a_1_8_jordan1a,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_8_jordan1a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & k17_euclid(C) = k17_euclid(B) & r1_xxreal_0(k18_euclid(C),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_1_8_jordan2c,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_8_jordan2c(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_8_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_8_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_hidden(k4_tarski(1,C),k2_matrix_0(k2_goboard2(B))) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,C) ) ) ) ) )).
fof(fraenkel_a_1_8_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_8_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k17_euclid(C),B) ) ) ) )).
fof(fraenkel_a_1_8_lattice5,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_8_lattice5(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = k2_xfamily(k1_funct_1(o_1_6_lattice5(B),C)) ) ) ) )).
fof(fraenkel_a_1_8_nat_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_8_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = k11_newton(C,k11_nat_3(k4_newton(B,k2_nat_1(2,B)),C)) & ~ r1_xxreal_0(C,k3_square_1(k2_nat_1(2,B))) & r1_xxreal_0(C,k7_xcmplx_0(k2_nat_1(2,B),3)) & ~ r1_xxreal_0(k11_nat_3(k4_newton(B,k2_nat_1(2,B)),C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_8_pscomp_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_8_pscomp_1(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & ~ r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_1_8_sf_mastr,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_1_8_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),B)) ) ) ) )).
fof(fraenkel_a_1_8_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_8_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k18_euclid(C),k7_pscomp_1(k3_topreal1(2,B))) ) ) ) )).
fof(fraenkel_a_1_8_tdlat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_8_tdlat_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v4_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_8_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_tdlat_3(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_8_topgen_2(B)) <=> ? [C] : ( v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_8_topgen_5,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_8_topgen_5(B)) <=> ? [C] : ( v1_xreal_0(C) & A = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_topreal9(2,k19_euclid(k17_euclid(B),k18_euclid(B)),C),k2_topgen_5) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) )).
fof(fraenkel_a_1_8_topreal1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_8_topreal1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_1_8_uniroots,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_complfld))) ) => ( r2_hidden(A,a_1_8_uniroots(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k1_uniroots(k1_complfld))) & A = C & r2_tarski(C,B) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),C),1) ) ) ) )).
fof(fraenkel_a_1_8_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_waybel_9(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_8_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_1_9_aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ( r2_hidden(A,a_1_9_aofa_000(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k3_finseq_1(C) ) ) ) )).
fof(fraenkel_a_1_9_card_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_1_9_card_3(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k9_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_1_9_cat_7,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r2_hidden(A,a_1_9_cat_7(B)) <=> ? [C] : ? [D] : ? [E] : ( m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,B) & A = k4_tarski(k4_tarski(k4_tarski(D,E),k4_tarski(C,D)),k4_tarski(C,E)) & r2_tarski(C,D) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_1_9_decomp_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_9_decomp_1(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & k3_decomp_1(B,C) = k2_decomp_1(B,C) ) ) ) )).
fof(fraenkel_a_1_9_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_1_9_fomodel0(B)) <=> ? [C] : ( m1_subset_1(C,B) & A = k12_finseq_1(B,C) ) ) ) )).
fof(fraenkel_a_1_9_goboard5,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_9_goboard5(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_9_goboard6,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_9_goboard6(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),C) ) ) ) )).
fof(fraenkel_a_1_9_gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_1_9_gobrd11(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) ) ) ) )).
fof(fraenkel_a_1_9_gobrd12,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_9_gobrd12(B)) <=> ? [C] : ? [D] : ( v1_xreal_0(C) & v1_xreal_0(D) & A = k19_euclid(C,D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),k1_matrix_0(k2_goboard2(B)))),D) ) ) ) )).
fof(fraenkel_a_1_9_jgraph_4,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_9_jgraph_4(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k7_xcmplx_0(k18_euclid(C),k12_euclid(C)),B) & r1_xxreal_0(k5_numbers,k17_euclid(C)) & C != k4_struct_0(k15_euclid(2)) ) ) ) )).
fof(fraenkel_a_1_9_jgraph_6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_9_jgraph_6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(B,k12_euclid(k5_algstr_0(k15_euclid(2),C,k19_euclid(k5_numbers,k5_numbers)))) ) ) ) )).
fof(fraenkel_a_1_9_jordan1a,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_9_jordan1a(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & k18_euclid(C) = k18_euclid(B) ) ) ) )).
fof(fraenkel_a_1_9_jordan2c,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_9_jordan2c(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_9_jordan5d,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_9_jordan5d(B)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & A = C & r2_hidden(k4_tarski(k3_finseq_1(k2_goboard2(B)),C),k2_matrix_0(k2_goboard2(B))) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),C) ) ) ) ) )).
fof(fraenkel_a_1_9_jordan6,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ( r2_hidden(A,a_1_9_jordan6(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k7_partfun1(k1_numbers,C,1),B) ) ) ) )).
fof(fraenkel_a_1_9_lattice5,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_1_9_lattice5(B)) <=> ? [C] : ? [D] : ? [E] : ? [F] : ( m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_domain_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),C,D,E,F) & r3_orders_2(B,k3_lattice5(u1_struct_0(B),B,k16_lattice5(B),C,D),k13_lattice3(B,E,F)) ) ) ) )).
fof(fraenkel_a_1_9_nat_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_hidden(A,a_1_9_nat_4(B)) <=> ? [C] : ( v1_int_2(C) & m1_subset_1(C,k4_ordinal1) & A = k11_newton(C,k11_nat_3(k4_newton(B,k2_nat_1(2,B)),C)) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(C,k2_nat_1(2,B)) & ~ r1_xxreal_0(k11_nat_3(k4_newton(B,k2_nat_1(2,B)),C),k5_numbers) ) ) ) )).
fof(fraenkel_a_1_9_sf_mastr,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ( r2_hidden(A,a_1_9_sf_mastr(B)) <=> ? [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(C) & r2_tarski(C,k2_relset_1(u1_compos_1(k1_scmfsa_2),B)) ) ) ) )).
fof(fraenkel_a_1_9_sprect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_1_9_sprect_3(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & A = C & ~ r1_xxreal_0(k17_euclid(C),k8_pscomp_1(k3_topreal1(2,B))) ) ) ) )).
fof(fraenkel_a_1_9_tdlat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_9_tdlat_3(B)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v6_tops_1(C,B) ) ) ) )).
fof(fraenkel_a_1_9_topgen_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_1_9_topgen_2(B)) <=> ? [C] : ( v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = k1_card_1(C) ) ) ) )).
fof(fraenkel_a_1_9_topreal1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_hidden(A,a_1_9_topreal1(B)) <=> ? [C] : ( v7_ordinal1(C) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),2,B),C) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),2,B))) ) ) ) )).
fof(fraenkel_a_1_9_waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_1_9_waybel19(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_2_0_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_abcmiz_0(B) & m1_subset_1(C,u1_abcmiz_0(B)) ) => ( r2_hidden(A,a_2_0_abcmiz_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(C,k2_abcmiz_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_0_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_abcmiz_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(B,C))) & m1_subset_1(E,k4_ordinal1) & A = k4_tarski(k1_abcmiz_1(D),E) & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_2_0_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & m1_dtconstr(C,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) ) => ( r2_hidden(A,a_2_0_abcmiz_a(B,C)) <=> ? [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = D & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D) = k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_2_0_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_aescip_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(B,1),8)),k2_nat_1(k7_nat_d(C,1),32)),D) & r1_xxreal_0(D,k1_nat_1(k1_nat_1(8,k2_nat_1(k7_nat_d(B,1),8)),k2_nat_1(k7_nat_d(C,1),32))) ) ) ) )).
fof(fraenkel_a_2_0_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_0_afinsq_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_0_alg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m5_margrel1(C,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_2_0_alg_1(B,C)) <=> ? [D] : ( m2_finseq_2(D,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = D & k3_finseq_1(D) = k18_margrel1(C) ) ) ) )).
fof(fraenkel_a_2_0_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( l3_algstr_0(B) & v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_0_algstr_4(B,C)) <=> ? [D] : ( v1_partfun1(D,u1_struct_0(B)) & v3_relat_2(D) & v8_relat_2(D) & v1_algstr_4(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & A = D & ! [E] : ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(E,k9_xtuple_0(C)) & k1_funct_1(C,E) = k4_tarski(F,G) ) => r2_tarski(F,k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),D,G)) ) ) ) ) ) ) )).
fof(fraenkel_a_2_0_ami_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_ami_6(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_card_3(k2_memstr_0(k5_card_1(2),k1_ami_3))) & A = k5_memstr_0(k5_card_1(2),k1_ami_3,k2_extpro_1(k5_card_1(2),k1_ami_3,k7_ami_3(C),D)) & k5_memstr_0(k5_card_1(2),k1_ami_3,D) = B ) ) ) )).
fof(fraenkel_a_2_0_amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(B) & m1_subset_1(C,k4_compos_0(u1_compos_1(k4_amistd_1(B)))) ) => ( r2_hidden(A,a_2_0_amistd_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k4_amistd_1(B))) & A = k2_compos_0(D) & k5_compos_0(u1_compos_1(k4_amistd_1(B)),D) = C ) ) ) )).
fof(fraenkel_a_2_0_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_2_0_aofa_000(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k1_funct_1(k8_funct_7(B,D),C) & r2_hidden(C,k9_xtuple_0(k8_funct_7(B,D))) ) ) ) )).
fof(fraenkel_a_2_0_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r2_hidden(A,a_2_0_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ( r1_tarski(C,D) | r1_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_2_0_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) ) => ( r2_hidden(A,a_2_0_arytm_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_arytm_3) & m1_subset_1(E,k5_arytm_3) & A = k9_arytm_3(D,E) & r2_tarski(D,B) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_2_0_asympt_0(B,C)) <=> ? [D] : ( m2_funct_2(D,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = D & ? [E] : ( v1_xreal_0(E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(E,k5_numbers) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(F,G) & r2_tarski(G,C) ) => ( r1_xxreal_0(k8_nat_1(k1_numbers,D,G),k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,G))) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,D,G)) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_0_autgroup,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k5_autgroup(B))) & v1_group_6(C,B,k5_autgroup(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k5_autgroup(B))))) ) => ( r2_hidden(A,a_2_0_autgroup(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),u1_struct_0(k5_autgroup(B)),C,D) = k1_group_1(k5_autgroup(B)) ) ) ) )).
fof(fraenkel_a_2_0_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m2_subset_1(C,u1_struct_0(B),k5_bcialg_1(B)) ) => ( r2_hidden(A,a_2_0_bcialg_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_bcialg_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_bcialg_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_bcialg_1(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_bciideal,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_bciideal(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_bcialg_1(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_bintree1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_0_bintree1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)) & r2_tarski(k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)),B) ) ) ) )).
fof(fraenkel_a_2_0_bintree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & v1_bintree1(B) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_bintree2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k7_finseq_1(C,k9_finseq_1(D)) & r2_tarski(k7_finseq_1(C,k9_finseq_1(D)),B) ) ) ) )).
fof(fraenkel_a_2_0_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_0_borsuk_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k8_mcart_1(u1_struct_0(B),u1_struct_0(C),D,E) & r2_tarski(D,u1_pre_topc(B)) & r2_tarski(E,u1_pre_topc(C)) ) ) ) )).
fof(fraenkel_a_2_0_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_compts_1(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_0_borsuk_3(B,C)) <=> ? [D] : ( v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_tarski(k3_borsuk_1(C,B,k2_struct_0(C),D),k5_setfam_1(u1_struct_0(k2_borsuk_1(C,B)),k7_borsuk_1(C,B,k2_struct_0(k2_borsuk_1(C,B))))) ) ) ) )).
fof(fraenkel_a_2_0_borsuk_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_borsuk_4(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_borsuk_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_borsuk_5(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k15_euclid(3))) ) => ( r2_hidden(A,a_2_0_borsuk_7(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k1_euclid_5(C),k7_xcmplx_0(B,k3_square_1(2)))) & ~ r1_xxreal_0(k2_xcmplx_0(k1_euclid_5(C),k7_xcmplx_0(B,k3_square_1(2))),D) ) ) ) )).
fof(fraenkel_a_2_0_brouwer,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_0_brouwer(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(C)) & A = k4_borsuk_1(B,C,D,E) & D != E ) ) ) )).
fof(fraenkel_a_2_0_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k5_margrel1))) ) => ( r2_hidden(A,a_2_0_bvfunc_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k3_funct_2(B,k5_margrel1,C,D) = k7_margrel1 ) ) ) )).
fof(fraenkel_a_2_0_c0sp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_hidden(A,a_2_0_c0sp1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k9_complex1(k3_funct_2(B,k1_numbers,C,D)) ) ) ) )).
fof(fraenkel_a_2_0_calcul_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_finseq_1(C,k3_cqc_lang(B)) ) => ( r2_hidden(A,a_2_0_calcul_1(B,C)) <=> ? [D] : ( m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) & A = k24_qc_lang1(B,D) & ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k1_relset_1(k4_ordinal1,C)) & D = k1_funct_1(C,E) ) ) ) ) )).
fof(fraenkel_a_2_0_calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_calcul_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r1_xxreal_0(k2_xcmplx_0(1,B),D) & r1_xxreal_0(D,k2_xcmplx_0(C,B)) ) ) ) )).
fof(fraenkel_a_2_0_cantor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_0_cantor_1(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(k9_setfam_1(B)),C) & A = k8_setfam_1(B,D) ) ) ) )).
fof(fraenkel_a_2_0_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_2_0_card_3(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k1_funct_1(D,C) ) ) ) )).
fof(fraenkel_a_2_0_card_5,axiom,( ! [A] : ! [B] : ! [C] : ( v1_card_1(C) => ( r2_hidden(A,a_2_0_card_5(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_tarski(k1_card_1(D),C) ) ) ) )).
fof(fraenkel_a_2_0_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_0_card_fil(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_tarski(k3_subset_1(B,D),C) ) ) ) )).
fof(fraenkel_a_2_0_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_0_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & v2_funct_1(D) ) ) ) )).
fof(fraenkel_a_2_0_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_0_card_lar(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ~ v1_finset_1(D) & v4_ordinal1(D) & k3_ordinal2(k8_subset_1(B,C,D)) = D ) ) ) )).
fof(fraenkel_a_2_0_cardfin2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_cardfin2(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & ~ v2_funct_1(D) ) ) )).
fof(fraenkel_a_2_0_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_cat_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k2_cat_1(B,D,E) & r2_tarski(D,C) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_catalan2(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_catalan2(k4_ordinal1)) & A = D & r2_tarski(D,k2_catalan2(B,C)) & a_1_4_catalan2(D) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_0_cc0sp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) ) => ( r2_hidden(A,a_2_0_cc0sp1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k9_complex1(k3_funct_2(B,k2_numbers,C,D)) ) ) ) )).
fof(fraenkel_a_2_0_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_cc0sp2(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_0_cfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_cfdiff_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_0_cfdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k2_numbers) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_cfdiff_2(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_0_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v3_ordinal1(C) ) => ( r2_hidden(A,a_2_0_cgames_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(B,C))))) & m1_subset_1(E,k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(B,C))))) & A = g1_cgames_1(D,E) ) ) ) )).
fof(fraenkel_a_2_0_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_chain_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & A = D & r2_tarski(D,B) & ~ r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( r2_hidden(A,a_2_0_chord(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_glib_000(B)) & A = D & ~ r2_tarski(D,C) & ? [E] : ( m1_subset_1(E,k6_glib_000(B)) & r2_tarski(E,C) & r1_chord(B,D,E) ) ) ) ) )).
fof(fraenkel_a_2_0_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) ) => ( r2_hidden(A,a_2_0_circuit1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_circuit1(B,C,D) & r2_tarski(D,u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_0_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( r2_hidden(A,a_2_0_classes1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_classes1(B)) & A = D & ? [E] : ( m1_subset_1(E,k1_classes1(B)) & r2_tarski(E,k3_classes1(B,C)) & r1_tarski(D,E) ) ) ) ) )).
fof(fraenkel_a_2_0_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_clopban1(C,B,B) & v2_clopban1(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_clopban2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_normsp_0(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D)) & r1_xxreal_0(k2_normsp_0(B,D),1) ) ) ) )).
fof(fraenkel_a_2_0_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_2_0_closure1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_2_0_closure2(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k1_funct_1(D,C) ) ) ) )).
fof(fraenkel_a_2_0_closure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( r2_hidden(A,a_2_0_closure3(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k1_funct_1(C,D) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_0_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) & ~ v1_xboole_0(C) & v1_classes1(C) & v1_coh_sp(C) ) => ( r2_hidden(A,a_2_0_cohsp_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,C) & A = k14_cohsp_1(D,E) ) ) ) )).
fof(fraenkel_a_2_0_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_0_combgras(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & k1_card_1(D) = B ) ) ) )).
fof(fraenkel_a_2_0_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_compl_sp(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_compos_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_compos_0(B) & m1_subset_1(C,k4_compos_0(B)) ) => ( r2_hidden(A,a_2_0_compos_0(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k2_compos_0(D) & k5_compos_0(B,D) = C ) ) ) )).
fof(fraenkel_a_2_0_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_hidden(A,a_2_0_compos_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_xxreal_0(k4_card_1(k63_valued_1(C)),D) ) ) ) )).
fof(fraenkel_a_2_0_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_comput_1(B))) ) => ( r2_hidden(A,a_2_0_comput_1(B,C)) <=> ? [D] : ( m2_subset_1(D,k2_comput_1(B),C) & A = k9_xtuple_0(D) ) ) ) )).
fof(fraenkel_a_2_0_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r1_conlat_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_0_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_connsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_connsp_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(E,C) & r1_tarski(D,E) & v3_connsp_1(D,B) ) ) ) ) )).
fof(fraenkel_a_2_0_convex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_convex1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,D,E) & r2_tarski(D,k1_xboole_0) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_convex3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_convex3(B,C)) <=> ? [D] : ( v2_convex1(D,B) & m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & r2_tarski(D,k1_convex3(B)) ) ) ) )).
fof(fraenkel_a_2_0_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m2_funct_2(C,u1_struct_0(B),k2_numbers,k9_funct_2(u1_struct_0(B),k2_numbers)) ) => ( r2_hidden(A,a_2_0_convex4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k2_numbers,C,D) != k5_complex1 ) ) ) )).
fof(fraenkel_a_2_0_convfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k6_numbers))) ) => ( r2_hidden(A,a_2_0_convfun1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_numbers) & A = k1_domain_1(u1_struct_0(B),k1_numbers,D,E) & r1_xxreal_0(k12_supinf_2(C,D),E) ) ) ) )).
fof(fraenkel_a_2_0_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) ) => ( r2_hidden(A,a_2_0_cqc_sim1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_qc_lang1(B)) & A = D & ! [E] : ( m1_subset_1(E,k1_qc_lang1(B)) => ~ ( r1_qc_lang1(B,D,E) & r2_tarski(k2_qc_lang3(B,E),k24_qc_lang1(B,C)) ) ) ) ) ) )).
fof(fraenkel_a_2_0_cqc_the1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( r2_hidden(A,a_2_0_cqc_the1(B,C)) <=> ? [D] : ( m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) & A = D & ? [E] : ( m2_finseq_1(E,k2_zfmisc_1(k3_cqc_lang(B),k2_cqc_the1)) & r2_cqc_the1(B,C,E) & k3_cqc_the1(B,E) = D ) ) ) ) )).
fof(fraenkel_a_2_0_dist_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m2_finseq_1(C,B) ) => ( r2_hidden(A,a_2_0_dist_1(B,C)) <=> ? [D] : ( m2_finseq_1(D,B) & A = D & r1_dist_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_0_domain_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,C) & A = k1_domain_1(B,C,D,E) ) ) ) )).
fof(fraenkel_a_2_0_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_dtconstr(B) & l1_lang1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_dtconstr(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_trees_3(u1_struct_0(B))) & A = k15_dtconstr(B,D) & r2_tarski(D,k4_dtconstr(B)) & k1_funct_1(D,k1_xboole_0) = C ) ) ) )).
fof(fraenkel_a_2_0_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v2_hahnban(C,B) & v3_hahnban(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( r2_hidden(A,a_2_0_dualsp01(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k9_complex1(k3_funct_2(u1_struct_0(B),k1_numbers,C,D)) & r1_xxreal_0(k2_normsp_0(B,D),1) ) ) ) )).
fof(fraenkel_a_2_0_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_dualsp02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k17_dualsp01(B))) & A = k9_complex1(k3_funct_2(u1_struct_0(B),k1_numbers,k14_dualsp01(B,D),C)) & k2_normsp_0(k17_dualsp01(B),D) = 1 ) ) ) )).
fof(fraenkel_a_2_0_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) ) => ( r2_hidden(A,a_2_0_ec_pf_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(B))) & A = D & k2_binom(k9_int_3(B),D,2) = C ) ) ) )).
fof(fraenkel_a_2_0_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r2_hidden(A,a_2_0_eqrel_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = k3_tarski(D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_equation,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ( r2_hidden(A,a_2_0_equation(B,C)) <=> ? [D] : ( m1_subset_1(D,k14_msualg_2(B,C)) & A = D & ? [E] : ( v3_msualg_1(E,B) & v4_msualg_1(E,B) & v3_msafree2(E,B) & m1_msualg_2(E,B,C) & E = D ) ) ) ) )).
fof(fraenkel_a_2_0_euclid10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_euclid10(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k12_euclid(k5_algstr_0(k15_euclid(2),D,k19_euclid(B,C))) = k5_ordinal1 ) ) ) )).
fof(fraenkel_a_2_0_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_euclid_3(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,D)),k1_rlvect_1(k15_euclid(2),C,D)) & r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) ) ) ) )).
fof(fraenkel_a_2_0_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_euclid_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ~ r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),D,k19_euclid(k17_euclid(B),k18_euclid(B)))),k12_euclid(k5_algstr_0(k15_euclid(2),C,B))) ) ) ) )).
fof(fraenkel_a_2_0_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k14_euclid(B))) ) => ( r2_hidden(A,a_2_0_euclid_9(B,C)) <=> ? [D] : ( ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) & A = k4_euclid_9(B,C,k7_xcmplx_0(1,D)) ) ) ) )).
fof(fraenkel_a_2_0_euler_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_euler_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r1_int_2(k3_xcmplx_0(B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_xcmplx_0(B,C)) ) ) ) )).
fof(fraenkel_a_2_0_euler_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_euler_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( m1_subset_1(E,k4_ordinal1) & D = k4_nat_d(k3_xcmplx_0(B,E),C) & r2_tarski(E,a_1_0_euler_2(C)) ) ) ) ) )).
fof(fraenkel_a_2_0_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(B) & v1_relat_1(C) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_exchsort(C) ) => ( r2_hidden(A,a_2_0_exchsort(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k9_xtuple_0(C)) & m1_subset_1(E,k9_xtuple_0(C)) & A = k4_tarski(D,E) & r2_tarski(D,E) & ~ r1_orders_2(B,k7_partfun1(u1_struct_0(B),C,D),k7_partfun1(u1_struct_0(B),C,E)) ) ) ) )).
fof(fraenkel_a_2_0_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_fcont_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,C)) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),D) ) ) ) )).
fof(fraenkel_a_2_0_fcont_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_fcont_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_0_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_fdiff_3(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(k6_xcmplx_0(B,C),D) & r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_0_fib_num2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( r2_hidden(A,a_2_0_fib_num2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,B) & r2_tarski(D,k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_0_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_filter_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_filter_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_fin_topo(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k1_fin_topo(B,D),C) & ~ r1_xboole_0(k1_fin_topo(B,D),k3_subset_1(u1_struct_0(B),C)) ) ) ) )).
fof(fraenkel_a_2_0_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_finance1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(B) => ( r2_hidden(A,a_2_0_finseq_2(B,C)) <=> ? [D] : ( m2_finseq_2(D,C,k3_finseq_2(C)) & A = D & k3_finseq_1(D) = B ) ) ) )).
fof(fraenkel_a_2_0_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_0_finseq_3(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,C) & A = k10_finseq_1(D,E) ) ) ) )).
fof(fraenkel_a_2_0_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_fintopo2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_fintopo2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(E,k6_fintopo2(B,D)) => ( ~ r1_xboole_0(E,C) & ~ r1_xboole_0(E,k3_subset_1(u1_struct_0(B),C)) ) ) ) ) ) ) )).
fof(fraenkel_a_2_0_fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_fintopo3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( r2_tarski(E,k3_subset_1(u1_struct_0(B),C)) & r2_tarski(D,k1_fin_topo(B,E)) ) ) ) ) ) )).
fof(fraenkel_a_2_0_fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_fintopo6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k1_fin_topo(B,D),C) ) ) ) )).
fof(fraenkel_a_2_0_flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(B))) => ( r2_hidden(A,a_2_0_flang_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(B))) & A = D & ? [E] : ( v7_ordinal1(E) & D = k7_flang_1(B,C,E) ) ) ) ) )).
fof(fraenkel_a_2_0_flang_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) => ( r2_hidden(A,a_2_0_flang_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(B))) & A = D & ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(E,1) & D = k7_flang_1(B,C,E) ) ) ) ) )).
fof(fraenkel_a_2_0_flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) => ( r2_hidden(A,a_2_0_flang_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(B))) & A = D & ? [E] : ( v7_ordinal1(E) & ~ r1_xxreal_0(E,k5_numbers) & D = k7_flang_1(B,C,E) ) ) ) ) )).
fof(fraenkel_a_2_0_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_fomodel1(B,C)) <=> ? [D] : ( v10_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) & A = k24_fomodel1(B,D,k1_funct_1(k25_fomodel1(B),C)) & v6_fomodel1(D,B) ) ) ) )).
fof(fraenkel_a_2_0_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_0_fomodel2(B,C)) <=> ? [D] : ( m2_funct_2(D,k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1)),k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1)))) & A = D & v1_fomodel2(D,B,C) ) ) ) )).
fof(fraenkel_a_2_0_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) ) => ( r2_hidden(A,a_2_0_fomodel4(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k8_funct_7(k4_fomodel4(B,C),D) ) ) ) )).
fof(fraenkel_a_2_0_frechet,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_frechet(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_metric_1(B,C,k7_xcmplx_0(1,D)) & D != k5_numbers ) ) ) )).
fof(fraenkel_a_2_0_frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_frechet2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(C,k2_pre_topc(B,k6_domain_1(u1_struct_0(B),D))) ) ) ) )).
fof(fraenkel_a_2_0_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_freealg(C) ) => ( r2_hidden(A,a_2_0_freealg(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_freealg(B,C))) & A = k2_trees_4(u1_struct_0(k3_freealg(B,C)),D) & r2_tarski(D,k6_dtconstr(k3_freealg(B,C))) ) ) ) )).
fof(fraenkel_a_2_0_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_3(C,B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B)))) ) => ( r2_hidden(A,a_2_0_fsm_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_fsm_3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C))) & A = D & ~ r1_xboole_0(D,u2_fsm_3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C)) ) ) ) )).
fof(fraenkel_a_2_0_fuznum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_hidden(A,a_2_0_fuznum_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k1_funct_1(C,D) = 1 ) ) ) )).
fof(fraenkel_a_2_0_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_goboard2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) ) ) ) )).
fof(fraenkel_a_2_0_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1))) ) ) ) )).
fof(fraenkel_a_2_0_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) ) ) ) )).
fof(fraenkel_a_2_0_goboard9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_goboard9(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_0_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) ) ) ) )).
fof(fraenkel_a_2_0_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(k1_nat_1(C,1),1),1))) ) ) ) )).
fof(fraenkel_a_2_0_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_gobrd13(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_0_gobrd14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_gobrd14(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),D) & r1_xxreal_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_0_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( r2_hidden(A,a_2_0_goedelcp(B,C)) <=> ? [D] : ( m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) & A = k24_qc_lang1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_graph_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,k2_xcmplx_0(B,C)) ) ) ) )).
fof(fraenkel_a_2_0_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v5_graph_1(B) & v6_graph_1(B) & l1_graph_1(B) & m2_finseq_2(C,u4_struct_0(B),k9_graph_3(B)) ) => ( r2_hidden(A,a_2_0_graph_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,k1_graph_3(B,k10_xtuple_0(C))) & k10_graph_1(B,D) != k7_graph_3(B,D,k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_0_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( r2_hidden(A,a_2_0_graph_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & r2_tarski(E,C) & D = k1_funct_1(u1_graph_1(B),E) ) ) ) ) )).
fof(fraenkel_a_2_0_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_graph_5(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & r1_xxreal_0(1,k3_finseq_1(D)) & r1_xxreal_0(k3_finseq_1(D),C) ) ) ) )).
fof(fraenkel_a_2_0_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_graphsp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r2_tarski(D,k4_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,C) & k1_funct_1(B,D) != k4_xcmplx_0(1) & k1_funct_1(B,k2_xcmplx_0(C,D)) != k4_xcmplx_0(1) ) ) ) )).
fof(fraenkel_a_2_0_grcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_grcat_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k2_cat_1(B,D,E) & r2_tarski(D,C) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k15_pre_poly(B))) ) => ( r2_hidden(A,a_2_0_groeb_1(B,C)) <=> ? [D] : ( m2_subset_1(D,k14_pre_poly(B),k15_pre_poly(B)) & A = D & ? [E] : ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) & v4_valued_0(E) & v2_pre_poly(E) & r2_tarski(E,C) & r3_pre_poly(B,E,D) ) ) ) ) )).
fof(fraenkel_a_2_0_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & k1_card_1(D) = C ) ) )).
fof(fraenkel_a_2_0_group_17,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_group_17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k5_group_1(B,D,C) = k1_group_1(B) ) ) ) )).
fof(fraenkel_a_2_0_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_group_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_group_1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_group_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_group_3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_group_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( v15_algstr_0(E) & m1_group_2(E,B) & D = u1_struct_0(E) & r1_tarski(C,k8_group_2(B,E)) ) ) ) ) )).
fof(fraenkel_a_2_0_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ( r2_hidden(A,a_2_0_group_9(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_groupp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_groupp_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k1_newton(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_heine,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_heine(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_hermitan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v2_bilinear(C,k1_complfld,B,B) & v4_bilinear(C,k1_complfld,B,B) & v3_hermitan(C,B) & v5_hermitan(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(k1_complfld)))) ) => ( r2_hidden(A,a_2_0_hermitan(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k2_binop_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(k1_complfld),C,D,D) = k4_struct_0(k1_complfld) ) ) ) )).
fof(fraenkel_a_2_0_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) => ( r2_hidden(A,a_2_0_heyting1(B,C)) <=> ? [D] : ( m2_funct_2(D,k7_normform(B),k1_heyting1(B),k9_funct_2(k7_normform(B),k1_heyting1(B))) & A = k4_tarski(a_3_0_heyting1(B,C,D),a_3_1_heyting1(B,C,D)) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) => ( r2_tarski(E,C) => r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),D,E),k5_setwiseo(B,k2_domain_1(k5_finsub_1(B),k5_finsub_1(B),E),k3_domain_1(k5_finsub_1(B),k5_finsub_1(B),E))) ) ) ) ) ) )).
fof(fraenkel_a_2_0_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_heyting2(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & A = D & ! [E] : ( r2_tarski(E,D) => v1_finset_1(E) ) & ! [E] : ( m1_subset_1(E,k4_partfun1(B,C)) => ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ( ( r2_tarski(E,D) & r2_tarski(F,D) & r1_tarski(E,F) ) => E = F ) ) ) ) ) )).
fof(fraenkel_a_2_0_heyting3,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_heyting3(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & A = D & ! [E] : ( r2_tarski(E,D) => v1_finset_1(E) ) & ! [E] : ( m1_subset_1(E,k4_partfun1(B,C)) => ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ( ( r2_tarski(E,D) & r2_tarski(F,D) & r1_tarski(E,F) ) => E = F ) ) ) ) ) )).
fof(fraenkel_a_2_0_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k13_polynom3(B)))) ) => ( r2_hidden(A,a_2_0_hilbasis(B,C)) <=> ? [D] : ( m2_subset_1(D,u1_struct_0(k13_polynom3(B)),C) & A = D & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ( E = D & r2_tarski(F,C) ) => r1_xxreal_0(k1_algseq_1(B,E),k1_algseq_1(B,F)) ) ) ) ) ) ) )).
fof(fraenkel_a_2_0_huffman1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m2_prob_1(C,B,k1_random_1(B)) ) => ( r2_hidden(A,a_2_0_huffman1(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_trees_3(k1_huffman1)) & A = D & v1_relat_1(D) & v5_relat_1(D,k1_huffman1) & v1_funct_1(D) & v1_finset_1(D) & v3_trees_2(D) & v2_bintree1(D) & ? [E] : ( m1_subset_1(E,B) & D = k1_trees_4(k4_tarski(k1_funct_1(k2_funct_1(k19_finseq_1(B)),E),k3_funct_2(k1_zfmisc_1(B),k1_numbers,C,k6_domain_1(B,E)))) ) ) ) ) )).
fof(fraenkel_a_2_0_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_group_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_int_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v1_vectsp_2(B) & v1_int_3(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_int_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k8_group_1(B,E,C) ) ) ) ) )).
fof(fraenkel_a_2_0_int_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,k4_ordinal1) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_int_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,C,B)),D),1),k1_recdef_1(B,C)) = k5_numbers ) ) ) )).
fof(fraenkel_a_2_0_int_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r2_hidden(A,a_2_0_int_7(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,k22_pre_poly(k8_newton,k13_nat_3(B))) & k1_recdef_1(k12_nat_3(C),D) = k1_recdef_1(k12_nat_3(B),D) ) ) ) )).
fof(fraenkel_a_2_0_int_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_0_int_8(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r1_int_2(k1_newton(C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_newton(C,B)) ) ) ) )).
fof(fraenkel_a_2_0_integr10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_integr10(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_integr15,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_integr15(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k1_seq_2(B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k1_seq_2(B),C),D) ) ) ) )).
fof(fraenkel_a_2_0_integr1c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_integr1c(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_integra1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_integra2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_0_integra2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k3_xcmplx_0(B,D) & r2_hidden(D,C) ) ) ) )).
fof(fraenkel_a_2_0_jct_misc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_0_jct_misc(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k9_complex1(k6_xcmplx_0(D,E)) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_0_jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_jgraph_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ~ r1_xxreal_0(k17_euclid(D),k6_xcmplx_0(k17_euclid(B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k17_euclid(B),C),k17_euclid(D)) & ~ r1_xxreal_0(k18_euclid(D),k6_xcmplx_0(k18_euclid(B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k18_euclid(B),C),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_0_jgraph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_jgraph_5(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_0_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_jgraph_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k7_xcmplx_0(k2_xcmplx_0(B,C),2) ) ) ) )).
fof(fraenkel_a_2_0_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_0_jordan(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k6_xcmplx_0(k17_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k17_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),C),D) ) ) ) )).
fof(fraenkel_a_2_0_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_jordan1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(D,C) & r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_0_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_jordan10(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k1_jordan9(C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k1_jordan9(C,B))) ) ) ) )).
fof(fraenkel_a_2_0_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_jordan12(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k4_graph_2(u1_struct_0(k15_euclid(2)),B,C))) ) ) ) )).
fof(fraenkel_a_2_0_jordan14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_jordan14(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k1_jordan13(B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k1_jordan13(B,C))) ) ) ) )).
fof(fraenkel_a_2_0_jordan16,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_jordan16(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ( r1_jordan6(B,C,D) | ( r2_tarski(C,B) & D = k18_pscomp_1(B) ) ) ) ) ) )).
fof(fraenkel_a_2_0_jordan19,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_jordan19(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k6_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))) & r1_xxreal_0(k18_euclid(D),k7_pscomp_1(k3_topreal1(2,k1_jordan9(C,B)))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_0_jordan1a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_jordan1a(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) ) ) ) )).
fof(fraenkel_a_2_0_jordan1b,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_jordan1b(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1)),D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,C)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_0_jordan1g,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_jordan1g(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k8_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))) & r1_xxreal_0(k18_euclid(D),k7_pscomp_1(k3_topreal1(2,k1_jordan9(C,B)))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_0_jordan1j,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_jordan1j(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k8_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))) & r1_xxreal_0(k18_euclid(D),k7_pscomp_1(k3_topreal1(2,k1_jordan9(C,B)))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_0_jordan21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_jordan21(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(D,C) & ~ r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_0_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_jordan2b(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_2_0_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & A = D & r1_jordan2c(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_jordan3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_jordan3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r2_tarski(C,k2_topreal1(2,B,D)) ) ) ) )).
fof(fraenkel_a_2_0_jordan4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_jordan4(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) ) ) ) )).
fof(fraenkel_a_2_0_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_0_jordan5a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_0_jordan5b,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_jordan5b(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r2_jordan3(B,C,B,D) & r2_jordan3(B,C,D,C) ) ) ) )).
fof(fraenkel_a_2_0_jordan5c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_jordan5c(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_jordan5d,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_jordan5d(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_hidden(k4_tarski(C,D),k2_matrix_0(k2_goboard2(B))) & ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,D) ) ) ) ) )).
fof(fraenkel_a_2_0_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_jordan6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B),k17_euclid(C)),2) ) ) ) )).
fof(fraenkel_a_2_0_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_jordan7(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ( r1_jordan6(B,C,D) | ( r2_tarski(C,B) & D = k18_pscomp_1(B) ) ) ) ) ) )).
fof(fraenkel_a_2_0_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_0_jordan8(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_0_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(C,B) ) => ( r2_hidden(A,a_2_0_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k3_jordan_a(2,k2_jordan_a(B,D,C)) & r2_tarski(D,k4_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_0_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),k9_setfam_1(B)) & v6_cohsp_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_0_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r1_tarski(k3_funct_2(k1_zfmisc_1(B),k9_setfam_1(B),C,D),D) ) ) ) )).
fof(fraenkel_a_2_0_lagra4sq,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v1_abian(B) & v1_int_2(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_lagra4sq(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & ~ r1_xxreal_0(k4_card_1(k1_relset_1(k4_numbers,k2_partfun1(k4_numbers,k6_ordinal1(B),k1_lagra4sq(B),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(C),k2_lagra4sq(C)))))),D) ) ) ) )).
fof(fraenkel_a_2_0_laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_laplace(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_tarski(D,C) & r2_tarski(k2_tarski(D,C),k2_sgraph1(k2_finseq_1(k1_nat_1(B,2)))) ) ) ) )).
fof(fraenkel_a_2_0_lattad_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_lattices(B) & v8_lattices(B) & v9_lattices(B) & v11_lattices(B) & v3_lattad_1(B) & v4_lattad_1(B) & v6_lattad_1(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_lattad_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_lattices(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v10_lattices(C) & v17_lattices(C) & l3_lattices(C) ) => ( r2_hidden(A,a_2_0_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k7_lattices(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_0_lattice4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_lattice4(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k4_filter_0(B,D,E) & r2_tarski(D,C) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_0_lattice5(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,C) & A = k2_zfmisc_1(D,E) & r2_tarski(D,B) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_lattice3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & m1_lattice8(C,u1_struct_0(B),B,k16_lattice5(B)) ) => ( r2_hidden(A,a_2_0_lattice8(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k1_xfamily(k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_0_latticea,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_latticea(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v2_filter_0(D,B) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_0_lfuzzy_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k4_lfuzzy_1(B,C,D) & ~ r1_xxreal_0(D,k5_numbers) ) ) ) )).
fof(fraenkel_a_2_0_limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_limfunc2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,C)) & ~ r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_0_limfunc3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_limfunc3(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(C,B)) & ~ r1_xxreal_0(k2_xcmplx_0(C,B),D) ) ) ) )).
fof(fraenkel_a_2_0_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_lopban_1(C,B,B) & v2_lopban_1(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_lopban_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_normsp_0(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D)) & r1_xxreal_0(k2_normsp_0(B,D),1) ) ) ) )).
fof(fraenkel_a_2_0_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_lopclset(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v1_filter_0(D,B) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_hidden(A,a_2_0_lpspace1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & r2_tarski(D,k1_relset_1(B,C)) & k1_funct_1(C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_0_ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(C,B) ) => ( r2_hidden(A,a_2_0_ltlaxio4(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(C)) & A = k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D) & D != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_0_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_mathmorp(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_algstr_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_matrix13(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & k4_card_1(D) = C ) ) ) )).
fof(fraenkel_a_2_0_matrix14,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m2_finseq_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_matrix14(B,C)) <=> ? [D] : ( m2_finseq_2(D,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = D & k3_finseq_1(D) = k3_finseq_1(C) ) ) ) )).
fof(fraenkel_a_2_0_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_matrix15(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,C) & r2_tarski(D,k4_finseq_1(k1_finseq_2(B))) ) ) ) )).
fof(fraenkel_a_2_0_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( r2_hidden(A,a_2_0_matrix_0(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = k10_xtuple_0(D) & r2_tarski(D,k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_0_matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(B) => ( r2_hidden(A,a_2_0_matrix_7(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(B),k2_finseq_1(B)) & v3_funct_2(D,k2_finseq_1(B),k2_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B),k2_finseq_1(B)))) & A = k2_funct_2(k2_finseq_1(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_matrixr1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) & m2_finseq_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_matrixr1(B,C)) <=> ? [D] : ( m2_finseq_2(D,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = D & k3_finseq_1(D) = k3_finseq_1(C) ) ) ) )).
fof(fraenkel_a_2_0_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & l1_vectsp_1(C,B) ) => ( r2_hidden(A,a_2_0_matroid0(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & A = D & v1_vectsp_7(D,B,C) ) ) ) )).
fof(fraenkel_a_2_0_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_matrtop1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,C) & r2_tarski(D,k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_2_0_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) ) => ( r2_hidden(A,a_2_0_mcart_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k2_xtuple_0(D) & k1_xtuple_0(D) = C ) ) ) )).
fof(fraenkel_a_2_0_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_measure6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k2_xcmplx_0(C,D) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_0_measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_measure7(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,B),k1_nat_1(C,1)) = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,B),D) ) ) ) )).
fof(fraenkel_a_2_0_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v2_membered(C) ) => ( r2_hidden(A,a_2_0_member_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k6_numbers) & m1_subset_1(E,k6_numbers) & A = k1_xxreal_3(D,E) & r2_tarski(D,B) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(B) & v2_memstr_0(C,B) & l1_memstr_0(C,B) ) => ( r2_hidden(A,a_2_0_memstr_0(B,C)) <=> ? [D] : ( m1_subset_1(D,k8_card_3(k2_memstr_0(B,C))) & A = D & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_2_0_mesfun10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_mesfun10(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k12_supinf_2(B,D) & r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(B,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(B,k6_numbers)))) ) => ( r2_hidden(A,a_2_0_mesfunc9(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k1_relset_1(B,k4_mesfunc5(B,k6_numbers,C,D)) & r1_xxreal_0(D,k5_numbers) ) ) ) )).
fof(fraenkel_a_2_0_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_metric_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_metric_2(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_mfold_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_2_0_mfold_2(B,C)) <=> ? [D] : ( m2_rlvect_2(D,k15_euclid(B),C) & A = k6_rlvect_2(k15_euclid(B),D) ) ) ) )).
fof(fraenkel_a_2_0_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_1(B) & m1_subset_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_midsp_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & A = D & r2_midsp_1(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_mmlquer2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_relat_1(C) ) => ( r2_hidden(A,a_2_0_mmlquer2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_relat_1(C)) & m1_subset_1(E,k1_relat_1(C)) & A = k4_tarski(D,E) & ~ r1_mmlquery(E,D,B) & r1_mmlquery(D,E,C) ) ) ) )).
fof(fraenkel_a_2_0_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_2_0_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,k4_finseq_1(B)) & r2_hidden(C,k1_funct_1(B,D)) ) ) ) )).
fof(fraenkel_a_2_0_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_0_modal_1(B,C)) <=> ? [D] : ( m2_finseq_2(D,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & A = k8_finseq_1(k4_ordinal1,C,D) & r2_tarski(k8_finseq_1(k4_ordinal1,C,D),B) ) ) ) )).
fof(fraenkel_a_2_0_modcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v1_classes2(C) ) => ( r2_hidden(A,a_2_0_modcat_1(B,C)) <=> ? [D] : ? [E] : ( m2_grcat_1(D,k17_grcat_1(C)) & m2_funct_2(E,k2_zfmisc_1(u1_struct_0(B),k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0),k9_funct_2(k2_zfmisc_1(u1_struct_0(B),k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0))) & A = k4_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_0_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k5_margrel1))) ) => ( r2_hidden(A,a_2_0_modelc_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k3_funct_2(B,k5_margrel1,C,D) = k7_margrel1 ) ) ) )).
fof(fraenkel_a_2_0_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) & v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ( r2_hidden(A,a_2_0_modelc_3(B,C)) <=> ? [D] : ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) & A = D & v2_modelc_2(D) & r2_tarski(D,u1_modelc_3(B,C)) ) ) ) )).
fof(fraenkel_a_2_0_moebius1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_0_moebius1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_xxreal_0(D,k5_numbers) & r1_nat_d(D,B) & r1_nat_d(C,D) ) ) ) )).
fof(fraenkel_a_2_0_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_msafree(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k5_msafree(B,C))) & A = k2_trees_4(u1_struct_0(k5_msafree(B,C)),D) & r2_tarski(D,k6_dtconstr(k5_msafree(B,C))) ) ) ) )).
fof(fraenkel_a_2_0_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) ) => ( r2_hidden(A,a_2_0_msafree3(B,C)) <=> ? [D] : ( m1_subset_1(D,k10_xtuple_0(B)) & A = k1_xtuple_0(D) & k2_xtuple_0(D) = C ) ) ) )).
fof(fraenkel_a_2_0_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_0_msafree5(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k7_finseq_1(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_0_msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_msscyc_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & k2_msualg_1(B,D) = C ) ) ) )).
fof(fraenkel_a_2_0_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v5_msafree2(B) & l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_msscyc_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(B,k5_msafree2(B,o_1_0_msscyc_2(B))),C)) & A = k5_circuit1(B,o_1_0_msscyc_2(B),C,D) ) ) ) )).
fof(fraenkel_a_2_0_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_mycielsk(C,B) ) => ( r2_hidden(A,a_2_0_mycielsk(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & A = k4_tarski(D,k2_xcmplx_0(E,B)) & r2_hidden(k4_tarski(D,E),u1_orders_2(C)) ) ) ) )).
fof(fraenkel_a_2_0_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_nagata_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_metric_1(B,D,k7_xcmplx_0(1,k11_newton(2,C))) & m1_subset_1(D,u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_0_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( r2_hidden(A,a_2_0_nagata_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_metric_1(B,D,k7_xcmplx_0(1,k11_newton(2,k10_subset_1(C,k4_ordinal1)))) & m1_subset_1(D,u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_0_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_nat_5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k1_newton(C,D) & r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_0_nat_d,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_nat_d(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( v1_int_1(E) & ? [F] : ( v1_int_1(F) & D = k2_xcmplx_0(k3_xcmplx_0(E,B),k3_xcmplx_0(F,C)) ) ) ) ) ) )).
fof(fraenkel_a_2_0_ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_2(B,k1_numbers,k1_euclid(1)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_ndiff_4(B,C)) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(1)) & A = D & ~ r1_xxreal_0(C,k12_euclid(k8_euclid(1,D,B))) ) ) ) )).
fof(fraenkel_a_2_0_neckla_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_neckla_2(B,C)) <=> ? [D] : ( m2_subset_1(D,k3_neckla_2,k4_neckla_2) & A = D & ? [E] : ( v1_orders_2(E) & l1_orders_2(E) & ? [F] : ( v1_orders_2(F) & l1_orders_2(F) & r1_xboole_0(u1_struct_0(E),u1_struct_0(F)) & r2_tarski(E,k1_funct_1(B,C)) & r2_tarski(F,k1_funct_1(B,C)) & ( D = k1_neckla_2(E,F) | D = k2_neckla_2(E,F) ) ) ) ) ) ) )).
fof(fraenkel_a_2_0_normform,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) => ( r2_hidden(A,a_2_0_normform(B,C)) <=> ? [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = D & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) => ( ( r2_tarski(E,C) & r1_normform(k5_finsub_1(B),k5_finsub_1(B),E,D) ) <=> E = D ) ) ) ) ) )).
fof(fraenkel_a_2_0_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) ) => ( r2_hidden(A,a_2_0_normsp_3(B,C)) <=> ? [D] : ( m2_rlsub_1(D,B,C) & A = D ) ) ) )).
fof(fraenkel_a_2_0_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_openlatt(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,k7_openlatt(B)) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_ordeq_02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) & A = D & ~ r1_xxreal_0(C,k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),D,B))) ) ) ) )).
fof(fraenkel_a_2_0_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_orders_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r2_orders_2(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_0_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v3_ordinal6(B) & v3_ordinal1(C) ) => ( r2_hidden(A,a_2_0_ordinal6(B,C)) <=> ? [D] : ( m1_subset_1(D,k9_xtuple_0(B)) & A = k1_funct_1(k1_funct_1(B,D),C) & r2_tarski(D,k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_2_0_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_osafree(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) & A = D & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & r1_lang1(k2_osafree(B,C),D,E) ) ) ) ) )).
fof(fraenkel_a_2_0_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v12_osalg_1(C,B) & l3_msualg_1(C,B) ) => ( r2_hidden(A,a_2_0_osalg_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_msualg_2(B,C)) & A = D & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & v11_osalg_1(D,B) ) ) ) )).
fof(fraenkel_a_2_0_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_pdiff_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) & A = D & ~ r1_xxreal_0(C,k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),D,B))) ) ) ) )).
fof(fraenkel_a_2_0_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_petri(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ? [E] : ( m1_petri(E,u4_struct_0(B),u1_struct_0(B),u2_petri(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,C) & E = k1_domain_1(u4_struct_0(B),u1_struct_0(B),D,F) ) ) ) ) ) )).
fof(fraenkel_a_2_0_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(B) => ( r2_hidden(A,a_2_0_petri_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(C,B))) & A = D & m1_petri_2(D,B,C) ) ) ) )).
fof(fraenkel_a_2_0_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(B) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_petri_3(C,B) ) => ( r2_hidden(A,a_2_0_petri_3(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,B) & A = k9_funct_2(k8_petri_2(k1_petri_3(B,C,D)),u1_struct_0(k1_petri_3(B,C,E))) & D != E ) ) ) )).
fof(fraenkel_a_2_0_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_0_pnproc_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k3_finseq_1(B)) & r2_tarski(D,k4_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_0_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v1_orders_2(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_poset_1(C) & l1_orders_2(C) ) => ( r2_hidden(A,a_2_0_poset_1(B,C)) <=> ? [D] : ( m2_funct_2(D,u1_struct_0(B),u1_struct_0(C),k9_funct_2(u1_struct_0(B),u1_struct_0(C))) & A = D & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v2_poset_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & r2_funct_2(u1_struct_0(B),u1_struct_0(C),E,D) ) ) ) ) )).
fof(fraenkel_a_2_0_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_funcop_1(C) ) => ( r2_hidden(A,a_2_0_pralg_3(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k10_xtuple_0(k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_0_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_0_pre_circ(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_projred2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_incsp_1(B) & v1_incproj(B) & v2_incproj(B) & v3_incproj(B) & v4_incproj(B) & l1_incsp_1(B) & m1_subset_1(C,u2_incsp_1(B)) ) => ( r2_hidden(A,a_2_0_projred2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_incsp_1(B)) & A = D & r1_incsp_1(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_pscomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_pscomp_1(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(C,B) ) => ( r2_hidden(A,a_2_0_pua2mss1(B,C)) <=> ? [D] : ( m2_finseq_2(D,C,k3_finseq_2(C)) & A = k4_card_3(D) ) ) ) )).
fof(fraenkel_a_2_0_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_qc_lang1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_qc_lang1(B)) & A = D & k7_qc_lang1(B,D) = C ) ) ) )).
fof(fraenkel_a_2_0_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k6_qc_lang1(B)) ) => ( r2_hidden(A,a_2_0_qc_lang3(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_qc_lang1(B)) & A = D & k7_qc_lang1(B,D) = k7_qc_lang1(B,C) ) ) ) )).
fof(fraenkel_a_2_0_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_2_0_qc_lang4(B,C)) <=> ? [D] : ( m1_subset_1(D,k9_qc_lang1(B)) & A = D & r1_qc_lang2(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v1_qc_trans(C,B) & m1_qc_lang1(C) ) => ( r2_hidden(A,a_2_0_qc_trans(B,C)) <=> ? [D] : ? [E] : ( v7_ordinal1(D) & m1_subset_1(E,k1_qc_lang1(C)) & A = k4_tarski(D,E) & r1_xxreal_0(7,D) ) ) ) )).
fof(fraenkel_a_2_0_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) ) => ( r2_hidden(A,a_2_0_quantal1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k5_quantal1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_ramsey_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( m1_subset_1(E,k4_ordinal1) & k3_funct_2(k4_ordinal1,k4_ordinal1,B,E) = D & ~ r1_xxreal_0(E,C) ) ) ) ) )).
fof(fraenkel_a_2_0_random_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_0_random_2(B,C)) <=> ? [D] : ( m1_random_1(D,B,C) & A = D ) ) ) )).
fof(fraenkel_a_2_0_random_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_0_random_3(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k8_relat_1(C,D) ) ) ) )).
fof(fraenkel_a_2_0_rcomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_rcomp_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_rcomp_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,C) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(E,C) & r2_xboole_0(D,E) ) ) ) ) )).
fof(fraenkel_a_2_0_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r2_hidden(A,a_2_0_relset_2(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k1_tarski(D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_revrot_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_revrot_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_0_rfunct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_rfunct_4(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_rinfsup1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_rinfsup1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(B,D) & r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_rinfsup2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_rinfsup2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k12_supinf_2(B,D) & r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_ring_2(B)) & v1_ring_2(C,k2_ring_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_ring_2(B)))) ) => ( r2_hidden(A,a_2_0_ring_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_nat_1(k2_ring_2(B),C,D) ) ) ) )).
fof(fraenkel_a_2_0_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_rlaffin1(B,C)) <=> ? [D] : ( v2_rusub_4(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_rlaffin2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_rlaffin2(B,D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_rlsub_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k1_rlvect_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_yellow13(C,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_2_0_rltopsp1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k5_rusub_4(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m2_funct_2(C,u1_struct_0(B),k1_numbers,k9_funct_2(u1_struct_0(B),k1_numbers)) ) => ( r2_hidden(A,a_2_0_rlvect_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k1_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_0_rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_rlvect_3(B,C)) <=> ? [D] : ( m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) ) ) ) )).
fof(fraenkel_a_2_0_rlvect_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlvect_2(C,B) ) => ( r2_hidden(A,a_2_0_rlvect_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k1_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_0_rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_rlvect_x(B,C)) <=> ? [D] : ( m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & r1_tarski(k2_relset_1(k1_numbers,D),k4_numbers) ) ) ) )).
fof(fraenkel_a_2_0_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) ) => ( r2_hidden(A,a_2_0_rmod_4(B,C)) <=> ? [D] : ( m2_rmod_4(D,B,C,k1_subset_1(u1_struct_0(C))) & A = k5_rmod_4(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_rolle,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_rolle(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_roughs_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),D),C) ) ) ) )).
fof(fraenkel_a_2_0_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k1_xboole_0,C) ) ) ) )).
fof(fraenkel_a_2_0_roughs_4,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r2_hidden(A,a_2_0_roughs_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_rusub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) ) => ( r2_hidden(A,a_2_0_rusub_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_struct_0(B),D) & r1_struct_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_rusub_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k1_rlvect_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_rusub_3(B,C)) <=> ? [D] : ( m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) ) ) ) )).
fof(fraenkel_a_2_0_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_rusub_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k1_rusub_5(B,C,k6_domain_1(u1_struct_0(B),D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v2_scm_halt(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r2_hidden(A,a_2_0_scm_halt(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k9_xtuple_0(k5_compos_1(k1_scmfsa_2,C,k4_card_1(B)))) ) ) ) )).
fof(fraenkel_a_2_0_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_scmfsa10(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) & A = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k11_scmfsa_2(C),D)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,D) = B ) ) ) )).
fof(fraenkel_a_2_0_scmfsa6a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_hidden(A,a_2_0_scmfsa6a(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k2_afinsq_1(C)) ) ) ) )).
fof(fraenkel_a_2_0_scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r2_hidden(A,a_2_0_scmfsa6b(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k2_afinsq_1(k5_compos_1(k1_scmfsa_2,C,k4_card_1(B)))) ) ) ) )).
fof(fraenkel_a_2_0_scmfsa8a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_scmfsa8a(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,C) & r2_tarski(D,k9_xtuple_0(k5_compos_1(k1_scmfsa_2,B,C))) ) ) ) )).
fof(fraenkel_a_2_0_scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_hidden(A,a_2_0_scmfsa8c(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k2_afinsq_1(C)) ) ) ) )).
fof(fraenkel_a_2_0_scmfsa_x,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_scmfsa_x(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k7_nat_d(k4_card_1(k11_compos_1(k1_scmfsa_2,k11_scmfsa_2(C))),1)) & r2_tarski(D,k2_afinsq_1(k5_compos_1(k1_scmfsa_2,B,k7_nat_d(k4_card_1(k11_compos_1(k1_scmfsa_2,k11_scmfsa_2(C))),1)))) ) ) ) )).
fof(fraenkel_a_2_0_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( r2_hidden(A,a_2_0_scmpds_9(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,D,k7_scmpds_2(B,C,5)) ) ) ) )).
fof(fraenkel_a_2_0_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_compos_1(k1_scmring2(B))) ) => ( r2_hidden(A,a_2_0_scmring3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(2),k1_scmring2(B),D,C) ) ) ) )).
fof(fraenkel_a_2_0_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_0_seq_4(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k2_xcmplx_0(D,E) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_0_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( r2_hidden(A,a_2_0_setlim_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(C,D) & r1_xxreal_0(k5_numbers,D) ) ) ) )).
fof(fraenkel_a_2_0_sf_mastr,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_sf_mastr(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(D) & r2_tarski(D,k2_xboole_0(B,C)) ) ) )).
fof(fraenkel_a_2_0_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_sgraph1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v6_ordinal1(C) & v1_finset_1(C) & v5_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_simplex1(B,C)) <=> ? [D] : ( m3_simplex0(D,k4_simplex1(B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),k5_setfam_1(u1_struct_0(B),C)))),k4_card_1(C)) & A = D & r1_tarski(k7_relset_1(k1_orders_1(u1_struct_0(B)),u1_struct_0(B),k2_rlaffin2(B),C),D) ) ) ) )).
fof(fraenkel_a_2_0_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & l1_metric_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_simplex2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k1_metric_1(B,D,E) & r2_tarski(D,C) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_sppol_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_sppol_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,B,D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) & D != C & D != k1_nat_1(C,1) ) ) ) )).
fof(fraenkel_a_2_0_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_0_srings_1(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k3_tarski(D) & v4_taxonom2(D) ) ) ) )).
fof(fraenkel_a_2_0_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_srings_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k6_subset_1(B,k1_tarski(k1_xboole_0))) & m1_subset_1(E,k6_subset_1(C,k1_tarski(k1_xboole_0))) & A = k2_zfmisc_1(D,E) & r2_tarski(D,k6_subset_1(B,k1_tarski(k1_xboole_0))) & r2_tarski(E,k6_subset_1(C,k1_tarski(k1_xboole_0))) ) ) )).
fof(fraenkel_a_2_0_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_stacks_1(B) & v3_stacks_1(B) & v4_stacks_1(B) & v5_stacks_1(B) & v6_stacks_1(B) & l1_stacks_1(B) & m1_subset_1(C,u4_struct_0(B)) ) => ( r2_hidden(A,a_2_0_stacks_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & r1_rewrite1(k12_stacks_1(B),C,D) ) ) ) )).
fof(fraenkel_a_2_0_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(B),k5_card_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(C)))) & A = D & v2_funct_2(D,k5_card_1(C)) & v1_stirl2_1(D,B,C) ) ) ) )).
fof(fraenkel_a_2_0_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_finseq_1(C,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_2_0_sublemma(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,D),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_2_0_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_substlat(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & A = D & ! [E] : ( r2_tarski(E,D) => v1_finset_1(E) ) & ! [E] : ( m1_subset_1(E,k4_partfun1(B,C)) => ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ( ( r2_tarski(E,D) & r2_tarski(F,D) & r1_tarski(E,F) ) => E = F ) ) ) ) ) )).
fof(fraenkel_a_2_0_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_finseq_1(C,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_2_0_substut1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,D),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_2_0_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_substut2(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_qc_lang1(B)) & A = D & k7_qc_lang1(B,D) = C ) ) ) )).
fof(fraenkel_a_2_0_t_1topsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_t_1topsp(B,C)) <=> ? [D] : ( m1_eqrel_1(D,u1_struct_0(B)) & A = k11_eqrel_1(u1_struct_0(B),C,D) & r2_tarski(D,k1_t_1topsp(B)) ) ) ) )).
fof(fraenkel_a_2_0_taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_taylor_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_0_tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_tbsp_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(k5_numbers,E) & D = k8_nat_1(u1_struct_0(B),C,E) ) ) ) ) )).
fof(fraenkel_a_2_0_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & D = k2_pre_topc(B,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_0_tdlat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_tdlat_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r2_tarski(E,C) & D = k1_tarski(E) ) ) ) ) )).
fof(fraenkel_a_2_0_tex_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,B) => ( r2_hidden(A,a_2_0_tex_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_tarski(C,D) & D != B ) ) ) )).
fof(fraenkel_a_2_0_tex_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_tdlat_3(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_tex_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_pre_topc(B,k6_domain_1(u1_struct_0(B),D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v4_pre_topc(D,B) & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_tmap_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k4_subset_1(u1_struct_0(B),D,k9_subset_1(u1_struct_0(B),E,C)) & r2_tarski(D,u1_pre_topc(B)) & r2_tarski(E,u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_0_topalg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_topalg_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,D),B),k3_xcmplx_0(D,C)) & r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) ) ) ) )).
fof(fraenkel_a_2_0_topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,k5_topmetr))))) ) => ( r2_hidden(A,a_2_0_topalg_5(B,C)) <=> ? [D] : ( v3_pre_topc(D,k5_topmetr) & v2_connsp_1(D,k5_topmetr) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_topmetr))) & A = D & ? [E] : ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(k3_borsuk_1(B,k5_topmetr,E,D),C) ) ) ) ) )).
fof(fraenkel_a_2_0_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))))) ) => ( r2_hidden(A,a_2_0_topdim_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_nat_1(k9_setfam_1(B),k5_funct_2(k4_ordinal1,k9_setfam_1(B),k9_setfam_1(B),C),D) & r1_xxreal_0(1,D) ) ) ) )).
fof(fraenkel_a_2_0_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_topdim_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k9_finseq_1(D) & r1_xxreal_0(k3_xxreal_3(C,B),D) & r1_xxreal_0(D,k1_xxreal_3(C,B)) ) ) ) )).
fof(fraenkel_a_2_0_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_0_topgen_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ~ r2_tarski(C,D) ) ) )).
fof(fraenkel_a_2_0_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_topgen_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,k2_pre_topc(B,k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)))) ) ) ) )).
fof(fraenkel_a_2_0_topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_topgen_5(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_topreal9(2,k19_euclid(B,C),D),k2_topgen_5) & ~ r1_xxreal_0(D,k5_numbers) ) ) ) )).
fof(fraenkel_a_2_0_topmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B))))) ) => ( r2_hidden(A,a_2_0_topmetr(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & v1_xreal_0(E) & A = k8_metric_1(B,D,E) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & r2_tarski(F,C) & r1_tarski(k8_metric_1(B,D,E),F) ) ) ) ) )).
fof(fraenkel_a_2_0_topreal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_2_0_topreal1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(B,C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_0_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(B),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_0_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_0_topreal4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & D != C & r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r1_topreal4(E,C,D) & r1_tarski(E,B) ) ) ) ) ) )).
fof(fraenkel_a_2_0_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_topreal6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ( r2_hidden(A,a_2_0_topreal7(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_pcomps_1(B),k3_pcomps_1(C)))))) & A = k3_tarski(D) & r1_tarski(D,a_2_1_topreal7(B,C)) ) ) ) )).
fof(fraenkel_a_2_0_toprealb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_toprealb(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_numbers) & A = k2_rcomp_1(k2_xcmplx_0(B,D),k2_xcmplx_0(C,D)) ) ) ) )).
fof(fraenkel_a_2_0_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_treal_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_trees_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_trees_1(C) ) => ( r2_hidden(A,a_2_0_trees_1(B,C)) <=> ? [D] : ( m1_trees_1(D,C) & A = D & ~ r2_xboole_0(B,D) ) ) ) )).
fof(fraenkel_a_2_0_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_trees_2(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_0_trees_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_hidden(A,a_2_0_trees_9(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(B)) & A = k5_trees_2(B,D) & ~ ( r2_tarski(D,k3_trees_1(k9_xtuple_0(B))) & ~ r2_tarski(k1_funct_1(B,D),C) ) ) ) ) )).
fof(fraenkel_a_2_0_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m4_trees_1(C,B) ) => ( r2_hidden(A,a_2_0_trees_a(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,C) & r2_xboole_0(E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_0_tsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_tsp_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_tex_4(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_unialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m5_margrel1(C,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_2_0_unialg_2(B,C)) <=> ? [D] : ( m2_finseq_2(D,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = D & k3_finseq_1(D) = k18_margrel1(C) ) ) ) )).
fof(fraenkel_a_2_0_uniform1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_uniform1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(k5_numbers,E) & D = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,E) ) ) ) ) )).
fof(fraenkel_a_2_0_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r1_nat_d(k6_group_1(k1_uniroots(k1_complfld),D),B) & ~ r1_nat_d(k6_group_1(k1_uniroots(k1_complfld),D),C) & k6_group_1(k1_uniroots(k1_complfld),D) != B ) ) ) )).
fof(fraenkel_a_2_0_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_2_0_valuat_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(k17_qc_lang1(B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k17_qc_lang1(B,C))) & r2_tarski(k1_funct_1(k17_qc_lang1(B,C),D),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_2_0_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_0_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,C) & r2_tarski(D,k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_2_0_vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ( r2_hidden(A,a_2_0_vectsp_7(B,C)) <=> ? [D] : ( m2_vectsp_6(D,B,C,k1_subset_1(u1_struct_0(C))) & A = k4_vectsp_6(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_0_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_0_waybel11(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_0_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_yellow_0(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k4_yellow_4(B,C,k6_domain_1(u1_struct_0(B),D)),C) ) ) ) )).
fof(fraenkel_a_2_0_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel13(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_orders_2(B,D,C) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_0_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k5_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel15,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k2_yellow_1(B))) => ( r2_hidden(A,a_2_0_waybel15(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_0_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel_8(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel16(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,k6_waybel_0(B,C)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r2_tarski(E,u1_struct_0(k1_waybel_8(B))) & r3_waybel_4(B,k6_subset_1(u1_struct_0(B),k6_waybel_0(B,E)),D) ) ) ) ) )).
fof(fraenkel_a_2_0_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_0_waybel18(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k4_card_3(k1_funct_7(k12_pralg_1(B,k7_funcop_1(B,k9_waybel18)),D,k1_tarski(1))) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_waybel19(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_0_waybel21(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_0_waybel21(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_0_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => ( r2_hidden(A,a_2_0_waybel22(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = k2_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(B))),a_2_1_waybel22(B,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v6_waybel23(C,B) & m1_waybel23(C,B) ) => ( r2_hidden(A,a_2_0_waybel23(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k5_yellow_0(B,C))) & A = k5_waybel_0(k5_yellow_0(B,C),D) ) ) ) )).
fof(fraenkel_a_2_0_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel24(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_0_waybel28(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_0_waybel28(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_0_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_0_waybel29(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C))))) & A = k5_setfam_1(u1_struct_0(k2_borsuk_1(B,C)),D) & r1_tarski(D,a_2_1_waybel29(B,C)) ) ) ) )).
fof(fraenkel_a_2_0_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ( r2_hidden(A,a_2_0_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k3_xboole_0(B,D) ) ) ) )).
fof(fraenkel_a_2_0_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v6_waybel23(C,B) & m1_waybel23(C,B) ) => ( r2_hidden(A,a_2_0_waybel31(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_waybel31(B,E,D) & r2_tarski(D,C) & r1_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_0_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_0_waybel32(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_0_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_0_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k1_waybel_9(B,k5_waybel_9(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_0_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_waybel_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_0_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_waybel_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,D,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_2_0_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k3_yellow_3(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) ) => ( r2_hidden(A,a_2_0_waybel_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k1_yellow_0(B,k4_yellow_4(B,k6_domain_1(u1_struct_0(B),D),k5_yellow_3(B,B,C))) & r2_tarski(D,k4_yellow_3(B,B,C)) ) ) ) )).
fof(fraenkel_a_2_0_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r3_orders_2(B,C,k1_yellow_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_0_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_0_waybel_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_waybel_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel_8(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_orders_2(B,D,C) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_0_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_waybel_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k12_lattice3(B,D,C) = C ) ) ) )).
fof(fraenkel_a_2_0_weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_weddwitt(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k6_algstr_0(B,C,D) = k6_algstr_0(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_weierstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_0_weierstr(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_0_xxreal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xxreal_0(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_0_xxreal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_0_yellow11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_yellow11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r3_orders_2(B,D,E) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) ) ) ) ) )).
fof(fraenkel_a_2_0_yellow13,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_yellow13(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(C,k1_tops_1(B,D)) ) ) ) )).
fof(fraenkel_a_2_0_yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,k9_setfam_1(B)) => ( r2_hidden(A,a_2_0_yellow15(B,C)) <=> ? [D] : ( m2_finseq_1(D,k5_margrel1) & A = k8_setfam_1(B,k2_relset_1(k9_setfam_1(B),k1_yellow15(B,C,D))) & k3_finseq_1(D) = k3_finseq_1(C) ) ) ) )).
fof(fraenkel_a_2_0_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_yellow19(B,C)) <=> ? [D] : ( m1_connsp_2(D,B,C) & A = D ) ) ) )).
fof(fraenkel_a_2_0_yellow_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_2_0_yellow_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_lattice3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_yellow_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & D = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) ) ) ) )).
fof(fraenkel_a_2_0_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) ) => ( r2_hidden(A,a_2_0_yellow_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k1_yellow_4(B,k6_domain_1(u1_struct_0(B),E),k5_yellow_3(B,B,C)) & r2_tarski(E,k4_yellow_3(B,B,C)) ) ) ) ) )).
fof(fraenkel_a_2_0_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_0_yellow_6(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(C,D) & v3_pre_topc(D,B) ) ) ) )).
fof(fraenkel_a_2_0_yellow_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_2_0_yellow_7(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_lattice3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_0_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_0_yellow_9(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_subset_1(u1_struct_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_0_zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_0_zf_colla(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ! [E] : ( m1_subset_1(E,B) => ~ ( r2_tarski(E,D) & ! [F] : ( v3_ordinal1(F) => ~ ( r2_tarski(F,k9_xtuple_0(C)) & r2_tarski(E,k3_tarski(k1_tarski(k1_funct_1(C,F)))) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_0_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_2_0_zf_fund1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,B) & A = k5_classes2(B,k6_classes2(B,k2_ordinal4(B),D),k6_classes2(B,k3_ordinal4(B),E)) & r2_tarski(D,E) & r2_tarski(D,C) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_0_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_0_zf_model(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_zf_model(B)) & A = D & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( E = D => k3_funct_2(k1_zf_lang,B,E,k17_zf_lang(C)) = k3_funct_2(k1_zf_lang,B,E,k18_zf_lang(C)) ) ) ) ) ) )).
fof(fraenkel_a_2_0_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & v1_int_1(C) ) => ( r2_hidden(A,a_2_0_zmodul02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k1_zmodul01(B,D,C) ) ) ) )).
fof(fraenkel_a_2_0_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & l1_zmodul01(C) ) => ( r2_hidden(A,a_2_0_zmodul03(B,C)) <=> ? [D] : ( m2_zmodul01(D,C,k5_zmodul02(C,B)) & A = D ) ) ) )).
fof(fraenkel_a_2_0_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m2_funct_2(C,u1_struct_0(k5_zmodul04(B)),u1_struct_0(k11_gaussint),k9_funct_2(u1_struct_0(k5_zmodul04(B)),u1_struct_0(k11_gaussint))) ) => ( r2_hidden(A,a_2_0_zmodul04(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k5_zmodul04(B))) & A = D & k3_funct_2(u1_struct_0(k5_zmodul04(B)),u1_struct_0(k11_gaussint),C,D) != k4_struct_0(k11_gaussint) ) ) ) )).
fof(fraenkel_a_2_10_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_10_abcmiz_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(B,C))) & m1_subset_1(E,k4_ordinal1) & A = k4_tarski(k1_abcmiz_1(D),E) & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_2_10_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_10_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ~ r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_10_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m1_subset_1(C,k5_arytm_3) ) => ( r2_hidden(A,a_2_10_arytm_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_arytm_3) & A = k10_arytm_3(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_10_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(B)))) ) => ( r2_hidden(A,a_2_10_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ( r2_tarski(E,k5_setfam_1(u4_struct_0(B),C)) => r1_conlat_1(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_10_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_10_dickson(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = o_3_18_dickson(B,C,D) ) ) ) )).
fof(fraenkel_a_2_10_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_10_goboard5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)) ) ) ) )).
fof(fraenkel_a_2_10_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_10_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) ) ) ) )).
fof(fraenkel_a_2_10_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_10_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) ) ) ) )).
fof(fraenkel_a_2_10_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_10_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),k1_nat_1(C,1))),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),k1_nat_1(k1_nat_1(C,1),1)))) ) ) ) )).
fof(fraenkel_a_2_10_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_10_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_ideal_1(E,B,C) & k4_rlvect_1(B,E) = D ) ) ) ) )).
fof(fraenkel_a_2_10_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_10_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ( r1_jordan6(B,C,D) | ( r2_tarski(C,B) & D = k18_pscomp_1(B) ) ) ) ) ) )).
fof(fraenkel_a_2_10_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_2_10_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r3_lattices(B,D,E) & r2_tarski(E,a_2_7_lattice3(B,C)) ) ) ) ) )).
fof(fraenkel_a_2_10_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_lattice6(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(k3_lattice3(B))) ) => ( r2_hidden(A,a_2_10_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,k5_lattice3(B,C)) & D != k5_lattice3(B,C) ) ) ) )).
fof(fraenkel_a_2_10_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_10_member_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = k3_xxreal_3(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_10_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_mmlquery(B) & l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_10_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(B),k30_mmlquery(B,D),k2_relset_1(u1_mmlquery(B),C))),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_10_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v4_roughs_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_10_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),D),k6_domain_1(u1_struct_0(B),C)) ) ) ) )).
fof(fraenkel_a_2_10_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_10_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(k1_nat_1(C,1)),k5_card_1(k1_nat_1(B,1))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(k1_nat_1(B,1))))) & A = D & v2_funct_2(D,k5_card_1(k1_nat_1(B,1))) & v1_stirl2_1(D,k1_nat_1(C,1),k1_nat_1(B,1)) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(k1_nat_1(B,1)),D,k6_domain_1(k5_card_1(k1_nat_1(B,1)),k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),k1_nat_1(B,1),D,C))) != k1_seq_4(C) ) ) ) )).
fof(fraenkel_a_2_10_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_2_10_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k8_tdlat_1(B))) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_10_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_10_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_tex_4(B,D) & r2_tarski(D,k3_tex_4(B,C)) ) ) ) )).
fof(fraenkel_a_2_10_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_10_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(C) & r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k7_xcmplx_0(k2_xcmplx_0(k18_euclid(B),k18_euclid(C)),2)) ) ) ) )).
fof(fraenkel_a_2_10_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_10_topreal4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & D != B & r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r1_topreal4(E,B,D) & r1_tarski(E,C) ) ) ) ) ) )).
fof(fraenkel_a_2_10_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( r2_hidden(A,a_2_10_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,k1_relset_1(k4_ordinal1,C)) ) ) ) )).
fof(fraenkel_a_2_10_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v1_yellow_6(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_10_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) & r1_orders_2(C,o_2_9_waybel11(B,C),D) ) ) ) )).
fof(fraenkel_a_2_10_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_10_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k13_lattice3(B,k3_yellow_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_10_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_10_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k5_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_10_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_10_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,D,C) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_10_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v3_waybel_7(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_10_waybel33(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m2_subset_1(E,u1_struct_0(k2_yellow_1(k2_struct_0(B))),C) & A = k1_domain_1(u1_struct_0(B),C,D,E) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_10_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_10_waybel_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,D,C) ) ) ) )).
fof(fraenkel_a_2_11_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_11_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & A = k8_setfam_1(B,D) & r1_tarski(D,C) ) ) )).
fof(fraenkel_a_2_11_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) ) => ( r2_hidden(A,a_2_11_conlat_1(B,C)) <=> ? [D] : ( m2_conlat_1(D,B,k8_conlat_1(B)) & A = u2_conlat_1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_11_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_11_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ( r2_tarski(E,C) => r1_conlat_1(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_11_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_11_goboard5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))) ) ) ) )).
fof(fraenkel_a_2_11_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_11_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) ) ) ) )).
fof(fraenkel_a_2_11_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_11_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_11_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_11_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),C)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_11_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_11_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),C,D) & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),D,k18_pscomp_1(B)) ) ) ) )).
fof(fraenkel_a_2_11_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_lattice6(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(k3_lattice3(B))) ) => ( r2_hidden(A,a_2_11_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k6_lattice6(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(k3_lattice3(B))) & r2_tarski(k5_lattice3(B,E),a_2_10_lattice6(B,C)) & k5_lattice3(B,E) = k15_lattice3(B,D) ) ) ) ) )).
fof(fraenkel_a_2_11_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_11_member_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = k6_xcmplx_0(C,D) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_11_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_mmlquery(B) & l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_11_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k30_mmlquery(B,D),k2_relset_1(u1_mmlquery(B),C)) ) ) ) )).
fof(fraenkel_a_2_11_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_11_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_xboole_0(k5_card_1(C),k1_tarski(C)),k2_xboole_0(k5_card_1(B),k1_tarski(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k5_card_1(C),k1_tarski(C)),k2_xboole_0(k5_card_1(B),k1_tarski(B))))) & A = D & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( k5_card_1(E) = k2_xboole_0(k5_card_1(C),k1_tarski(C)) & k5_card_1(F) = k2_xboole_0(k5_card_1(B),k1_tarski(B)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k5_card_1(E),k5_card_1(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(E),k5_card_1(F)))) ) => ~ ( G = D & v2_funct_2(G,k5_card_1(F)) & v1_stirl2_1(G,E,F) & ( ~ r1_xxreal_0(E,C) => k1_stirl2_1(E,k5_card_1(F),G,k1_seq_4(k2_stirl2_1(k5_card_1(E),F,G,C))) = k1_seq_4(C) ) ) ) ) ) ) & r1_tarski(k2_relset_1(k2_xboole_0(k5_card_1(B),k1_tarski(B)),k2_partfun1(k2_xboole_0(k5_card_1(C),k1_tarski(C)),k2_xboole_0(k5_card_1(B),k1_tarski(B)),D,k5_card_1(C))),k5_card_1(B)) & k1_funct_1(D,C) = B ) ) ) )).
fof(fraenkel_a_2_11_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_2_11_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k12_tdlat_1(B))) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_11_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_11_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(B),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B),k17_euclid(C)),2)) ) ) ) )).
fof(fraenkel_a_2_11_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_11_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(k1_nat_1(k3_finseq_1(B),1),D) & r1_xxreal_0(D,k1_nat_1(k3_finseq_1(B),k3_finseq_1(C))) ) ) ) )).
fof(fraenkel_a_2_11_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_11_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel11(B,C))) & A = k2_yellow_0(B,a_3_5_waybel11(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_11_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_11_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k3_yellow_4(B,C,k6_domain_1(u1_struct_0(B),D)),C) ) ) ) )).
fof(fraenkel_a_2_11_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(k1_yellow_1(k5_waybel11(B)))) ) => ( r2_hidden(A,a_2_11_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_tarski(D,C) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( v1_tops_2(F,B) & v1_yellow_8(F,B,E) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & r2_tarski(E,C) & r2_tarski(D,F) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(G,F) => ( v3_pre_topc(G,B) & v2_waybel_0(G,B) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_11_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_11_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,D,C) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_11_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_2_11_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_11_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v4_waybel11(C) & m1_yellow_9(C,B) ) => ( r2_hidden(A,a_2_11_waybel31(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_3(C,D) ) ) ) )).
fof(fraenkel_a_2_11_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v3_waybel_7(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_11_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_11_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_11_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),k11_waybel_4(B,D),C) & r3_orders_2(B,C,k1_yellow_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_11_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v3_waybel_7(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_11_yellow19(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_pre_topc(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_12_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) ) => ( r2_hidden(A,a_2_12_abcmiz_1(B,C)) <=> ? [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = D & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D) = k2_msualg_1(B,C) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_2_12_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) => ( r2_hidden(A,a_2_12_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_hidden(k4_tarski(D,B),k8_armstrng(B,C)) ) ) ) )).
fof(fraenkel_a_2_12_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) ) => ( r2_hidden(A,a_2_12_conlat_1(B,C)) <=> ? [D] : ( m2_conlat_1(D,B,k8_conlat_1(B)) & A = u3_conlat_1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_12_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_12_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) ) ) ) )).
fof(fraenkel_a_2_12_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_12_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_12_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_12_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),k1_nat_1(C,1))),E) ) ) ) )).
fof(fraenkel_a_2_12_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_12_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m2_ideal_1(E,B,C) & k4_rlvect_1(B,E) = D ) ) ) ) )).
fof(fraenkel_a_2_12_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_12_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan5c(k8_jordan6(B),k18_pscomp_1(B),k22_pscomp_1(B),C,D) ) ) ) )).
fof(fraenkel_a_2_12_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_12_member_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = k3_xxreal_3(D,C) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_12_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_mmlquery(B) & l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_12_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(B),k30_mmlquery(B,D),k2_relset_1(u1_mmlquery(B),C))),k5_numbers) & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(B),k2_relset_1(u1_mmlquery(B),C),k30_mmlquery(B,D))),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_12_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_12_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_tex_4(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_12_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_12_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(C) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B),k17_euclid(C)),2),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_12_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_12_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k3_finseq_1(B)) & r2_tarski(D,k4_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_12_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v13_waybel_0(C,B) & v1_waybel_6(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_12_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k4_yellow_4(B,C,k6_domain_1(u1_struct_0(B),D)),C) ) ) ) )).
fof(fraenkel_a_2_12_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_12_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_yellow_1(k5_waybel11(B)))) & A = D & r2_tarski(C,D) & v6_waybel_6(D,k1_yellow_1(k5_waybel11(B))) ) ) ) )).
fof(fraenkel_a_2_12_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_2_12_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k1_waybel30(B,k6_waybel_0(B,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_12_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel33(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v3_waybel_7(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_12_waybel33(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m2_subset_1(E,u1_struct_0(k2_yellow_1(k2_struct_0(B))),C) & A = k1_domain_1(u1_struct_0(B),C,D,E) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_12_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_12_waybel_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_12_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_12_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k9_subset_1(u1_struct_0(B),k5_waybel_0(B,C),D) & r3_orders_2(B,C,k1_yellow_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_13_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v2_abcmiz_1(C,B) & m1_subset_1(C,u4_struct_0(B)) ) => ( r2_hidden(A,a_2_13_abcmiz_1(B,C)) <=> ? [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = D & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D) = k2_msualg_1(B,C) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_2_13_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_13_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ~ ( r2_tarski(E,C) & r1_tarski(E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_13_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_13_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(k1_nat_1(B,1),1),1))) ) ) ) )).
fof(fraenkel_a_2_13_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_13_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) ) ) ) )).
fof(fraenkel_a_2_13_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_13_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_13_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_13_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m3_ideal_1(E,B,C) & k4_rlvect_1(B,E) = D ) ) ) ) )).
fof(fraenkel_a_2_13_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_13_jordan2c(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,B,D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),C) ) ) ) )).
fof(fraenkel_a_2_13_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_13_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),D,C) ) ) ) )).
fof(fraenkel_a_2_13_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_13_member_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = k6_xcmplx_0(D,C) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_13_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_mmlquery(B) & l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_13_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k30_mmlquery(B,D) = k2_relset_1(u1_mmlquery(B),C) ) ) ) )).
fof(fraenkel_a_2_13_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_13_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B),k17_euclid(C)),2),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_13_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_13_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_nat_1(k3_finseq_1(B),k3_finseq_1(C))) ) ) ) )).
fof(fraenkel_a_2_13_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_13_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel11(B,C))) & A = k2_waybel_0(B,k4_waybel11(B,C),D) & r1_orders_2(k4_waybel11(B,C),o_2_12_waybel11(B,C),D) ) ) ) )).
fof(fraenkel_a_2_13_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_13_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k5_waybel_0(B,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_13_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_13_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k1_waybel30(B,k6_waybel_0(B,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_13_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_13_waybel_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r3_orders_2(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_13_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_13_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),k11_waybel_4(B,D),C) & ~ r3_orders_2(B,C,k1_yellow_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_14_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) => ( r2_hidden(A,a_2_14_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & r2_tarski(k6_armstrng(B,E,F),C) & r1_tarski(E,D) & ~ r1_tarski(F,D) ) ) ) ) ) )).
fof(fraenkel_a_2_14_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_14_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_14_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_14_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) ) ) ) )).
fof(fraenkel_a_2_14_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_14_ideal_1(B,C)) <=> ? [D] : ( m1_ideal_1(D,B,k6_domain_1(u1_struct_0(B),C)) & A = k4_rlvect_1(B,D) ) ) ) )).
fof(fraenkel_a_2_14_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_14_jordan2c(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,B,D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k1_nat_1(C,1)) ) ) ) )).
fof(fraenkel_a_2_14_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_14_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ( r1_jordan5c(k8_jordan6(B),k18_pscomp_1(B),k22_pscomp_1(B),C,D) | r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),D,k18_pscomp_1(B)) ) ) ) ) )).
fof(fraenkel_a_2_14_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_14_member_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = k4_xxreal_3(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_14_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_14_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(C) & r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B),k17_euclid(C)),2)) ) ) ) )).
fof(fraenkel_a_2_14_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( r2_hidden(A,a_2_14_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(k1_nat_1(k3_finseq_1(k15_finseq_1(B)),1),D) & r1_xxreal_0(D,k1_nat_1(k3_finseq_1(k15_finseq_1(B)),k3_finseq_1(k15_finseq_1(C)))) ) ) ) )).
fof(fraenkel_a_2_14_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_14_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_14_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel33(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_14_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_14_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_14_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k5_waybel_0(B,C) & ~ r3_orders_2(B,C,k1_yellow_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_15_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) ) => ( r2_hidden(A,a_2_15_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),D) & r2_tarski(D,a_2_2_conlat_2(B,C)) ) ) ) )).
fof(fraenkel_a_2_15_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_15_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) )).
fof(fraenkel_a_2_15_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_15_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) ) ) ) )).
fof(fraenkel_a_2_15_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_15_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_group_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_15_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_15_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) & A = D & ! [E] : ( v1_xreal_0(E) => ( D = k1_jordan2b(E) => r1_xxreal_0(C,E) ) ) ) ) ) )).
fof(fraenkel_a_2_15_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(C,B) ) => ( r2_hidden(A,a_2_15_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ( r1_jordan6(B,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),D) | ( r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),B) & D = k18_pscomp_1(B) ) ) ) ) ) )).
fof(fraenkel_a_2_15_latticea,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & v15_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_15_latticea(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_lattices(B,C,D) = k6_lattices(B) ) ) ) )).
fof(fraenkel_a_2_15_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_15_member_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = k3_xcmplx_0(C,D) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_15_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_15_topreal3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(C,1),B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(C,1),B))) ) ) ) )).
fof(fraenkel_a_2_15_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( r2_hidden(A,a_2_15_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k3_finseq_1(k15_finseq_1(B))) & r2_tarski(D,k4_finseq_1(k15_finseq_1(C))) ) ) ) )).
fof(fraenkel_a_2_15_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_15_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) & r1_orders_2(C,o_2_14_waybel11(B,C),D) ) ) ) )).
fof(fraenkel_a_2_15_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(o_1_12_waybel30(B)))) ) => ( r2_hidden(A,a_2_15_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(o_1_12_waybel30(B))) & A = k2_waybel_3(o_1_12_waybel30(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_15_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(o_1_4_waybel33(B)))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(o_1_4_waybel33(B)))) & v3_waybel_7(C,k2_yellow_1(k2_struct_0(o_1_4_waybel33(B)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(o_1_4_waybel33(B)))))) ) => ( r2_hidden(A,a_2_15_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(o_1_4_waybel33(B)))) & A = k2_yellow_0(o_1_4_waybel33(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_15_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v2_waybel_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_15_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r3_orders_2(B,C,k1_yellow_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_16_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v1_funct_1(C) & v2_funct_1(C) & v15_abcmiz_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(B)))) ) => ( r2_hidden(A,a_2_16_abcmiz_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_abcmiz_1) & A = D & r2_tarski(k35_abcmiz_1(D,B),k2_relset_1(k34_abcmiz_1(B),C)) ) ) ) )).
fof(fraenkel_a_2_16_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_16_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ! [F] : ( ( r2_tarski(F,k9_armstrng(B,C)) & r1_tarski(D,F) ) => r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_2_16_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_16_goboard5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)) ) ) ) )).
fof(fraenkel_a_2_16_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_16_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_16_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_16_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) & A = D & ! [E] : ( v1_xreal_0(E) => ( D = k1_jordan2b(E) => r1_xxreal_0(E,k4_xcmplx_0(C)) ) ) ) ) ) )).
fof(fraenkel_a_2_16_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_16_member_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = k6_xxreal_3(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_16_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_16_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(C) & r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_16_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_16_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_6_waybel11(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_16_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(o_1_14_waybel30(B))) ) => ( r2_hidden(A,a_2_16_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(o_1_14_waybel30(B)))) & A = k2_yellow_0(o_1_14_waybel30(B),D) & r2_tarski(C,D) & r2_tarski(D,k5_waybel11(o_1_14_waybel30(B))) ) ) ) )).
fof(fraenkel_a_2_16_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v2_waybel_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_16_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),k11_waybel_4(B,D),C) ) ) ) )).
fof(fraenkel_a_2_17_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_17_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) => ( ( r2_tarski(k6_armstrng(B,E,F),C) & r1_tarski(E,D) ) => r1_tarski(F,D) ) ) ) ) ) ) )).
fof(fraenkel_a_2_17_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) ) => ( r2_hidden(A,a_2_17_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(B))) & A = k3_funct_2(k1_zfmisc_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),D) & r2_tarski(D,a_2_3_conlat_2(B,C)) ) ) ) )).
fof(fraenkel_a_2_17_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_17_goboard5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))) ) ) ) )).
fof(fraenkel_a_2_17_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_17_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) ) ) ) )).
fof(fraenkel_a_2_17_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_17_member_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = k7_xcmplx_0(C,D) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_17_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_17_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(B),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(k19_euclid(k17_euclid(B),k18_euclid(C)))) ) ) ) )).
fof(fraenkel_a_2_17_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(o_1_15_waybel30(B))) ) => ( r2_hidden(A,a_2_17_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(o_1_15_waybel30(B)))) & A = k2_yellow_0(o_1_15_waybel30(B),D) & r2_tarski(C,D) & r2_tarski(D,k5_waybel11(o_1_15_waybel30(B))) ) ) ) )).
fof(fraenkel_a_2_17_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_17_waybel_4(B,C)) <=> ? [D] : ( v5_waybel_4(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & A = k5_waybel_4(B,C,D) & r2_tarski(D,k12_waybel_4(B)) ) ) ) )).
fof(fraenkel_a_2_18_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_18_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ! [F] : ( ( r2_tarski(F,C) & r1_tarski(D,F) ) => r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_2_18_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_18_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_18_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_18_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_group_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_18_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_18_member_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = k6_xxreal_3(D,C) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_18_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_18_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(C) & r1_xxreal_0(k17_euclid(B),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_18_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_18_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(o_1_15_waybel30(B)))) & A = k2_yellow_0(o_1_15_waybel30(B),D) & r2_tarski(C,D) & r2_tarski(D,k5_waybel11(o_1_15_waybel30(B))) ) ) ) )).
fof(fraenkel_a_2_19_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,u1_struct_0(k11_conlat_1(B))) ) => ( r2_hidden(A,a_2_19_conlat_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u4_struct_0(B))) & A = g2_conlat_1(B,D,E) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,u2_conlat_1(B,k12_conlat_1(B,C))) & D = k3_funct_2(k9_setfam_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),k6_domain_1(u1_struct_0(B),F))) & E = k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),k6_domain_1(u1_struct_0(B),F)) ) ) ) ) )).
fof(fraenkel_a_2_19_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_19_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1)),D) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_19_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_19_member_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = k7_xcmplx_0(D,C) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_19_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_19_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(k19_euclid(k17_euclid(B),k18_euclid(C))),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_19_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,B) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_19_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_10_waybel11(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_19_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_19_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(o_1_16_waybel30(B)))) & A = k2_yellow_0(o_1_16_waybel30(B),D) & r2_tarski(C,D) & r2_tarski(D,k5_waybel11(o_1_16_waybel30(B))) ) ) ) )).
fof(fraenkel_a_2_1_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v4_abcmiz_0(B) & l2_abcmiz_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_abcmiz_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_abcmiz_0(B)) & A = D & r2_tarski(C,k3_abcmiz_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_1_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v6_trees_3(C) ) => ( r2_hidden(A,a_2_1_abcmiz_1(B,C)) <=> ? [D] : ( m1_abcmiz_1(D,B,k14_abcmiz_1(B)) & A = k45_abcmiz_1(B,D) & r2_tarski(D,k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_1_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & v1_abcmiz_a(B) & l1_msualg_1(B) & m1_dtconstr(C,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) ) => ( r2_hidden(A,a_2_1_abcmiz_a(B,C)) <=> ? [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = D & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D) = k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),C) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_2_1_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_aescip_1(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_1_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_1_afinsq_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k2_afinsq_1(C)) ) ) ) )).
fof(fraenkel_a_2_1_ami_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_ami_6(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(2),k1_ami_3,D,k8_ami_3(C,B)) ) ) ) )).
fof(fraenkel_a_2_1_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_aofa_000(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k9_aofa_000(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_1_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) & r3_armstrng(B,k6_armstrng(B,F,G),k6_armstrng(B,D,E)) & r2_tarski(k6_armstrng(B,F,G),C) ) ) ) ) ) )).
fof(fraenkel_a_2_1_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) ) => ( r2_hidden(A,a_2_1_arytm_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_arytm_3) & m1_subset_1(E,k5_arytm_3) & A = k10_arytm_3(D,E) & r2_tarski(D,B) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_1_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_2_1_asympt_0(B,C)) <=> ? [D] : ( m2_funct_2(D,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = D & ? [E] : ( v1_xreal_0(E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ~ r1_xxreal_0(E,k5_numbers) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(F,G) & r2_tarski(G,C) ) => ( r1_xxreal_0(k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,G)),k8_nat_1(k1_numbers,D,G)) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,D,G)) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_1_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_bagorder(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & ~ r1_xxreal_0(k7_nat_d(C,B),D) ) ) ) )).
fof(fraenkel_a_2_1_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_bcialg_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_bcialg_1(B,k1_bcialg_1(B,D,k4_struct_0(B)),C) ) ) ) )).
fof(fraenkel_a_2_1_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) & m2_subset_1(C,u1_struct_0(B),k5_bcialg_1(B)) ) => ( r2_hidden(A,a_2_1_bcialg_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_bcialg_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_bintree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_1_bintree2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k7_finseq_1(C,k9_finseq_1(D)) & r2_tarski(k7_finseq_1(C,k9_finseq_1(D)),B) ) ) ) )).
fof(fraenkel_a_2_1_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_eqrel_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_borsuk_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & r2_tarski(k3_tarski(D),u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_1_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_1_borsuk_3(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k3_borsuk_1(C,B,D,E) & r2_tarski(D,u1_pre_topc(C)) & r2_tarski(E,u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_1_borsuk_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k5_topmetr)) & m1_subset_1(C,u1_struct_0(k5_topmetr)) ) => ( r2_hidden(A,a_2_1_borsuk_4(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k15_euclid(3))) ) => ( r2_hidden(A,a_2_1_borsuk_7(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k2_euclid_5(C),k7_xcmplx_0(B,k3_square_1(2)))) & ~ r1_xxreal_0(k2_xcmplx_0(k2_euclid_5(C),k7_xcmplx_0(B,k3_square_1(2))),D) ) ) ) )).
fof(fraenkel_a_2_1_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k5_margrel1))) ) => ( r2_hidden(A,a_2_1_bvfunc_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k3_funct_2(B,k5_margrel1,C,D) = k6_margrel1 ) ) ) )).
fof(fraenkel_a_2_1_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_1_card_fil(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = k3_subset_1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_1_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & v2_funct_2(D,C) ) ) ) )).
fof(fraenkel_a_2_1_cardfin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_1_cardfin2(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & v2_funct_1(D) ) ) ) )).
fof(fraenkel_a_2_1_catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_catalan2(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_catalan2(k4_ordinal1)) & A = D & r2_tarski(D,k2_catalan2(k1_nat_1(C,1),B)) & a_1_4_catalan2(D) = k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_1_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_1_cc0sp2(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(k7_xcmplx_0(B,2),k9_complex1(k6_xcmplx_0(D,C))) ) ) ) )).
fof(fraenkel_a_2_1_cfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k2_numbers) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_cfdiff_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_1_cfdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_cfdiff_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(2))) & A = D & ~ r1_xxreal_0(C,k2_normsp_0(k4_real_ns1(2),k5_algstr_0(k4_real_ns1(2),D,B))) ) ) ) )).
fof(fraenkel_a_2_1_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_cgames_1(C) ) => ( r2_hidden(A,a_2_1_cgames_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k7_cgames_1(C)) & A = k1_funct_1(B,D) & k7_cgames_1(C) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_1_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_chain_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & A = D & r2_tarski(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( r2_hidden(A,a_2_1_classes1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_classes1(B)) & A = k9_setfam_1(D) & r2_tarski(D,k3_classes1(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ( r2_hidden(A,a_2_1_closure1(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = D & r1_tarski(B,D) ) ) ) )).
fof(fraenkel_a_2_1_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v4_funct_1(C) ) => ( r2_hidden(A,a_2_1_closure2(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k1_funct_1(D,B) ) ) ) )).
fof(fraenkel_a_2_1_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_clvect_1(C,B) ) => ( r2_hidden(A,a_2_1_clvect_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_struct_0(B),D) & r1_struct_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) & ~ v1_xboole_0(C) & v1_classes1(C) & v1_coh_sp(C) ) => ( r2_hidden(A,a_2_1_cohsp_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,C) & A = k1_zfmisc_1(k2_zfmisc_1(D,E)) ) ) ) )).
fof(fraenkel_a_2_1_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_1_combgras(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & k1_card_1(D) = k1_nat_1(B,1) ) ) ) )).
fof(fraenkel_a_2_1_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_compl_sp(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B))) & A = k1_setfam_1(D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & l1_compos_1(C) ) => ( r2_hidden(A,a_2_1_compos_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,k2_afinsq_1(k4_compos_1(C))) ) ) ) )).
fof(fraenkel_a_2_1_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_1_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ( r2_tarski(E,C) => r1_conlat_1(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_1_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u4_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(B))) & A = k3_funct_2(k1_zfmisc_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_connsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_connsp_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v3_connsp_1(D,B) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(E,C) => r1_tarski(D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_1_convex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_convex1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,D,E) & r2_tarski(D,C) & r2_tarski(E,k6_domain_1(u1_struct_0(B),k4_struct_0(B))) ) ) ) )).
fof(fraenkel_a_2_1_convfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k6_numbers))) ) => ( r2_hidden(A,a_2_1_convfun1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_numbers) & A = k1_domain_1(u1_struct_0(B),k1_numbers,D,E) & r1_xxreal_0(k12_supinf_2(C,D),E) ) ) ) )).
fof(fraenkel_a_2_1_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_2_1_cqc_sim1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(k17_qc_lang1(B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k17_qc_lang1(B,C))) & r2_tarski(k1_funct_1(k17_qc_lang1(B,C),D),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_2_1_cqc_the1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( r2_hidden(A,a_2_1_cqc_the1(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_cqc_lang(B)) & A = D & ? [E] : ( m2_finseq_1(E,k2_zfmisc_1(k3_cqc_lang(B),k2_cqc_the1)) & r2_cqc_the1(B,C,E) & k3_cqc_the1(B,E) = D ) ) ) ) )).
fof(fraenkel_a_2_1_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_1_domain_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_dualsp02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k17_dualsp01(B))) & A = k9_complex1(k3_funct_2(u1_struct_0(B),k1_numbers,k14_dualsp01(B,D),C)) & r1_xxreal_0(k2_normsp_0(k17_dualsp01(B),D),1) ) ) ) )).
fof(fraenkel_a_2_1_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_1_euclid_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ~ r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,B)),k12_euclid(k5_algstr_0(k15_euclid(2),D,k19_euclid(k17_euclid(B),k18_euclid(B))))) ) ) ) )).
fof(fraenkel_a_2_1_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_2_1_euclid_7(B,C)) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) & A = D & ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(1,E) & r1_xxreal_0(E,B) & D = k6_euclid_7(B,E) & k22_rvsum_1(C,D) != k5_numbers ) ) ) ) )).
fof(fraenkel_a_2_1_euler_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_euler_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( v1_int_1(E) & ? [F] : ( v1_int_1(F) & D = k5_int_1(k2_xcmplx_0(k3_xcmplx_0(B,F),k3_xcmplx_0(C,E)),k3_xcmplx_0(B,C)) & r1_int_2(k3_xcmplx_0(B,C),D) & r1_xxreal_0(F,C) & r1_xxreal_0(E,B) & r1_xxreal_0(k5_numbers,D) ) ) ) ) ) )).
fof(fraenkel_a_2_1_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v16_waybel_0(B) & l1_orders_2(B) & v1_relat_1(C) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_exchsort(C) ) => ( r2_hidden(A,a_2_1_exchsort(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k9_xtuple_0(C)) & m1_subset_1(E,k9_xtuple_0(C)) & A = k4_tarski(D,E) & r2_tarski(D,E) & r2_orders_2(B,k7_partfun1(u1_struct_0(B),C,E),k7_partfun1(u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_2_1_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_fcont_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_fcont_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_fcont_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_numbers) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_1_fdiff_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k3_xxreal_0(B,C),1)) & ~ r1_xxreal_0(k2_xcmplx_0(k4_xxreal_0(B,C),1),D) ) ) ) )).
fof(fraenkel_a_2_1_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_fdiff_3(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,k2_xcmplx_0(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_fib_num2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r2_hidden(A,a_2_1_fib_num2(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_xxreal_0(C,D) & D != k5_numbers & r1_nat_d(B,k1_pre_ff(D)) ) ) ) )).
fof(fraenkel_a_2_1_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_filter_0(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_tarski(C,D) & ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & D != u1_struct_0(B) ) ) ) )).
fof(fraenkel_a_2_1_fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_fin_topo(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k1_fin_topo(B,D),C) ) ) ) )).
fof(fraenkel_a_2_1_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_finance1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = D & r1_xxreal_0(B,D) & ~ r1_xxreal_0(k2_xcmplx_0(C,1),D) ) ) ) )).
fof(fraenkel_a_2_1_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_fintopo2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_fintopo2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r2_tarski(E,k6_fintopo2(B,D)) & r1_xboole_0(E,C) ) ) ) ) ) )).
fof(fraenkel_a_2_1_fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_fintopo3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r2_tarski(E,k3_subset_1(u1_struct_0(B),C)) & r2_tarski(D,k1_fin_topo(B,E)) ) ) ) ) )).
fof(fraenkel_a_2_1_fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_fintopo6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k1_fin_topo(B,D),C) ) ) ) )).
fof(fraenkel_a_2_1_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( r2_hidden(A,a_2_1_fomodel1(B,C)) <=> ? [D] : ( v10_fomodel1(D,C) & m1_subset_1(D,k1_fomodel1(C)) & A = k24_fomodel1(C,D,k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(C))),k28_fomodel1(C),B)) & v6_fomodel1(D,C) ) ) ) )).
fof(fraenkel_a_2_1_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_fomodel2(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k15_fomodel1(B),k16_fomodel1(B)) & m2_subset_1(E,k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k24_fomodel2(B,C)) & A = k42_fomodel1(B,k43_fomodel1(B,D),E) ) ) ) )).
fof(fraenkel_a_2_1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( r2_hidden(A,a_2_1_fomodel3(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r2_tarski(B,k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),D)) ) ) ) )).
fof(fraenkel_a_2_1_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v2_relat_1(B) & m2_finseq_1(B,k4_ordinal1) & v1_freealg(C) ) => ( r2_hidden(A,a_2_1_freealg(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_freealg(B,C))) & A = k2_trees_4(u1_struct_0(k3_freealg(B,C)),D) & r2_tarski(D,k1_lang1(k3_freealg(B,C))) ) ) ) )).
fof(fraenkel_a_2_1_fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) & m1_fvaluat1(C,B) ) => ( r2_hidden(A,a_2_1_fvaluat1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(B),k6_numbers,C,D)) ) ) ) )).
fof(fraenkel_a_2_1_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_1_goboard2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),B,C))) ) ) ) )).
fof(fraenkel_a_2_1_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1)),D) ) ) ) )).
fof(fraenkel_a_2_1_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_1_goboard9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_goboard9(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) ) ) ) )).
fof(fraenkel_a_2_1_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_1_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1))) ) ) ) )).
fof(fraenkel_a_2_1_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_gobrd13(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) ) ) ) )).
fof(fraenkel_a_2_1_gobrd14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_gobrd14(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) ) ) ) )).
fof(fraenkel_a_2_1_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) ) => ( r2_hidden(A,a_2_1_goedelcp(B,C)) <=> ? [D] : ( m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) & A = k24_qc_lang1(B,D) & r2_tarski(D,k6_domain_1(k3_cqc_lang(B),C)) ) ) ) )).
fof(fraenkel_a_2_1_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_graph_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(k1_nat_1(B,1),D) & r1_xxreal_0(D,k2_xcmplx_0(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( r2_hidden(A,a_2_1_graph_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & r2_tarski(E,C) & D = k1_funct_1(u2_graph_1(B),E) ) ) ) ) )).
fof(fraenkel_a_2_1_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_graph_5(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & r1_xxreal_0(k3_finseq_1(D),C) ) ) ) )).
fof(fraenkel_a_2_1_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_graphsp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r2_tarski(D,k4_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,C) & k1_funct_1(B,D) != k4_xcmplx_0(1) ) ) ) )).
fof(fraenkel_a_2_1_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_group_3(B)) & A = D & ? [E] : ( v15_algstr_0(E) & m1_group_2(E,B) & E = D & r3_group_10(C,B,E) ) ) ) ) )).
fof(fraenkel_a_2_1_group_17,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r2_hidden(A,a_2_1_group_17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k5_group_1(B,D,C) = k1_group_1(B) ) ) ) )).
fof(fraenkel_a_2_1_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_group_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r4_group_3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_group_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & ? [F] : ( m2_finseq_1(F,k4_numbers) & D = k3_group_4(B,k4_group_4(B,F,E)) & k3_finseq_1(E) = k3_finseq_1(F) & r1_tarski(k10_xtuple_0(E),C) ) ) ) ) ) )).
fof(fraenkel_a_2_1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ( r2_hidden(A,a_2_1_group_9(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k6_xcmplx_0(D,1) & r2_tarski(D,B) & ~ r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( v1_finset_1(C) => ( r2_hidden(A,a_2_1_heyting2(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & A = D & ! [E] : ( r2_tarski(E,D) => v1_finset_1(E) ) & ! [E] : ( m1_subset_1(E,k4_partfun1(B,C)) => ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ( ( r2_tarski(E,D) & r2_tarski(F,D) & r1_tarski(E,F) ) => E = F ) ) ) ) ) ) )).
fof(fraenkel_a_2_1_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v3_ordinal1(C) & ~ v1_finset_1(C) ) => ( r2_hidden(A,a_2_1_hilbasis(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k3_hilbasis(C,D,B) & r2_tarski(D,k4_ordinal1) ) ) ) )).
fof(fraenkel_a_2_1_huffman1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m2_prob_1(C,B,k1_random_1(B)) ) => ( r2_hidden(A,a_2_1_huffman1(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_zfmisc_1(k4_ordinal1,k1_numbers)) & A = D & ? [E] : ( m1_subset_1(E,B) & D = k4_tarski(k1_funct_1(k2_funct_1(k19_finseq_1(B)),E),k3_funct_2(k1_zfmisc_1(B),k1_numbers,C,k6_domain_1(B,E))) ) ) ) ) )).
fof(fraenkel_a_2_1_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,k4_ordinal1) & r2_tarski(k2_binom(B,D,E),C) ) ) ) ) )).
fof(fraenkel_a_2_1_int_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_int_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,C,B)),D),1),k1_recdef_1(B,C)) = k5_numbers ) ) ) )).
fof(fraenkel_a_2_1_int_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_1_int_8(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_int_2(k1_newton(C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_newton(C,B)) ) ) ) )).
fof(fraenkel_a_2_1_integr1c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_integr1c(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_integra1(C,B) ) => ( r2_hidden(A,a_2_1_integra1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(k3_seq_4(k2_integra1(B,C,1)),D) & r1_xxreal_0(D,k2_seq_4(k2_integra1(B,C,1))) ) ) ) )).
fof(fraenkel_a_2_1_integra2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_1_integra2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k3_xcmplx_0(B,D) & r2_hidden(D,C) ) ) ) )).
fof(fraenkel_a_2_1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_roughs_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k21_interva1(B)))) ) => ( r2_hidden(A,a_2_1_interva1(B,C)) <=> ? [D] : ( m2_interva1(D,B) & A = k14_interva1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_jgraph_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ~ r1_xxreal_0(C,k12_euclid(k5_algstr_0(k15_euclid(2),B,D))) ) ) ) )).
fof(fraenkel_a_2_1_jgraph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_jgraph_5(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_1_jordan(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,k6_xcmplx_0(k18_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k18_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),C),E) ) ) ) )).
fof(fraenkel_a_2_1_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_jordan1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_jordan10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = D & r2_jordan2c(2,k3_topreal1(2,k1_jordan9(C,B)),D) ) ) ) )).
fof(fraenkel_a_2_1_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_1_jordan12(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = k3_xboole_0(D,E) & r2_tarski(D,a_1_0_jordan12(B)) & r2_tarski(E,a_1_0_jordan12(C)) ) ) ) )).
fof(fraenkel_a_2_1_jordan14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_jordan14(B,C)) <=> ? [D] : ? [E] : ( v7_ordinal1(D) & v7_ordinal1(E) & A = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),D,E) & r2_hidden(k4_tarski(D,E),k2_matrix_0(k1_jordan8(B,C))) ) ) ) )).
fof(fraenkel_a_2_1_jordan1a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_jordan1a(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_matrix_0(C))),E) ) ) ) )).
fof(fraenkel_a_2_1_jordan1b,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_jordan1b(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B))),E) ) ) ) )).
fof(fraenkel_a_2_1_jordan1g,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_jordan1g(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,C))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,C)))),2) ) ) ) )).
fof(fraenkel_a_2_1_jordan1h,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( r2_hidden(A,a_2_1_jordan1h(B,C)) <=> ? [D] : ? [E] : ( v7_ordinal1(D) & v7_ordinal1(E) & A = k3_matrix_0(B,C,D,E) & r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) ) ) ) )).
fof(fraenkel_a_2_1_jordan1j,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_jordan1j(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k6_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))) & r1_xxreal_0(k18_euclid(D),k7_pscomp_1(k3_topreal1(2,k1_jordan9(C,B)))) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(C,B))),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_1_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_jordan20(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k17_euclid(B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k17_euclid(B),C),D) ) ) ) )).
fof(fraenkel_a_2_1_jordan21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_jordan21(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(D,C) & ~ r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_1_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_jordan2b(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(C,B)) & ~ r1_xxreal_0(k2_xcmplx_0(C,B),D) ) ) ) )).
fof(fraenkel_a_2_1_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_2_1_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & A = D & r2_jordan2c(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_jordan3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_2_1_jordan3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(B,C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_1_jordan4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_jordan4(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k2_rfinseq(u1_struct_0(k15_euclid(2)),k7_nat_d(C,1),B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k2_rfinseq(u1_struct_0(k15_euclid(2)),k7_nat_d(C,1),B))) ) ) ) )).
fof(fraenkel_a_2_1_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_jordan5a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_1_jordan5b,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_jordan5b(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(C,2),B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(C,2),B))) ) ) ) )).
fof(fraenkel_a_2_1_jordan5d,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_jordan5d(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_hidden(k4_tarski(D,C),k2_matrix_0(k2_goboard2(B))) & ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),D,C) ) ) ) ) )).
fof(fraenkel_a_2_1_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_1_jordan6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k7_xcmplx_0(k2_xcmplx_0(k18_euclid(B),k18_euclid(C)),2) ) ) ) )).
fof(fraenkel_a_2_1_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_1_jordan7(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan6(B,C,D) & r1_jordan6(B,D,C) ) ) ) )).
fof(fraenkel_a_2_1_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_jordan8(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k1_matrix_0(k1_jordan8(B,C)))),E) ) ) ) )).
fof(fraenkel_a_2_1_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(C,B) ) => ( r2_hidden(A,a_2_1_jordan_a(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & A = k4_jordan1k(2,k2_jordan_a(B,D,C),k2_jordan_a(B,E,C)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(E,D) & ~ r1_xxreal_0(k3_finseq_1(C),E) & ~ r1_gobrd10(D,E) ) ) ) )).
fof(fraenkel_a_2_1_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),k9_setfam_1(B)) & v6_cohsp_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_1_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r1_tarski(D,k3_funct_2(k1_zfmisc_1(B),k9_setfam_1(B),C,D)) ) ) ) )).
fof(fraenkel_a_2_1_laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_laplace(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_tarski(D,C) & r2_tarski(k2_tarski(D,C),k2_sgraph1(k2_finseq_1(k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_1_lattad_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v7_lattices(B) & v8_lattices(B) & v9_lattices(B) & v11_lattices(B) & v3_lattad_1(B) & v4_lattad_1(B) & v6_lattad_1(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_lattad_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_lattices(B,D,C) ) ) ) )).
fof(fraenkel_a_2_1_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( r2_hidden(A,a_2_1_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattice3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_1_lattice4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v20_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_lattice4(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & A = k2_lattice4(B,D) & r1_tarski(D,k4_lattice4(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & m2_lattice5(C,u1_struct_0(B),B,k16_lattice5(B)) ) => ( r2_hidden(A,a_2_1_lattice5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k1_xfamily(k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_1_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_lattice3(B)))) ) => ( r2_hidden(A,a_2_1_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(B))) & A = k5_lattice3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & m1_lattice8(C,u1_struct_0(B),B,k16_lattice5(B)) ) => ( r2_hidden(A,a_2_1_lattice8(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k2_xfamily(k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_1_latticea,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_latticea(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v18_lattices(D,B) & v21_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v2_filter_2(D,B) & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_1_lfuzzy_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & A = k3_fuzzy_4(B,B,B,k4_lfuzzy_1(B,C,D),k4_lfuzzy_1(B,C,E)) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) ) ) ) )).
fof(fraenkel_a_2_1_limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_limfunc2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),D) ) ) ) )).
fof(fraenkel_a_2_1_limfunc3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_limfunc3(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(C,B)) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & ~ v1_xboole_0(C) & v2_margrel1(C) & v3_margrel1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B),B))) ) => ( r2_hidden(A,a_2_1_margrel1(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & k3_finseq_1(D) = k18_margrel1(C) ) ) ) )).
fof(fraenkel_a_2_1_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_mathmorp(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_algstr_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v1_matrix_1(C,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_matrix13(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(k1_domain_1(k4_ordinal1,k4_ordinal1,D,D),k2_matrix_0(C)) & k3_matrix_0(u1_struct_0(B),C,D,D) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_2_1_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( r2_hidden(A,a_2_1_matrix_0(B,C)) <=> ? [D] : ? [E] : ( v7_ordinal1(D) & v7_ordinal1(E) & A = k3_matrix_0(B,C,D,E) & r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) ) ) ) )).
fof(fraenkel_a_2_1_matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_subset_1(C,k5_finsub_1(k9_matrix_1(B))) ) => ( r2_hidden(A,a_2_1_matrix_7(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(B),k2_finseq_1(B)) & v3_funct_2(D,k2_finseq_1(B),k2_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B),k2_finseq_1(B)))) & A = k2_funct_2(k2_finseq_1(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v3_pencil_1(B) & v1_matroid0(B) & v2_matroid0(B) & v4_matroid0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_matroid0(B,C)) <=> ? [D] : ( v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k4_card_1(D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_1_matrtop1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,k3_finseq_1(B)) & r2_tarski(D,k4_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_1_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(B) => ( r2_hidden(A,a_2_1_mcart_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k2_xtuple_0(D) & k1_xtuple_0(D) = k1_xtuple_0(C) ) ) ) )).
fof(fraenkel_a_2_1_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_1_measure6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k2_xcmplx_0(B,D) & r2_hidden(D,C) ) ) ) )).
fof(fraenkel_a_2_1_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_membered(C) ) => ( r2_hidden(A,a_2_1_member_1(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k2_xcmplx_0(D,E) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_1_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_1_metric_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_zfmisc_1(k2_metric_2(B),k2_metric_2(B))) & A = D & ? [E] : ( m1_subset_1(E,k2_metric_2(B)) & ? [F] : ( m1_subset_1(F,k2_metric_2(B)) & D = k1_domain_1(k2_metric_2(B),k2_metric_2(B),E,F) & r4_metric_2(B,E,F,C) ) ) ) ) ) )).
fof(fraenkel_a_2_1_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_1_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k2_relset_1(u1_mmlquery(B),C),k30_mmlquery(B,D)) ) ) ) )).
fof(fraenkel_a_2_1_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_1_modal_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)) & r2_tarski(k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)),B) ) ) ) )).
fof(fraenkel_a_2_1_modcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_group_1(C) & l6_algstr_0(C) ) => ( r2_hidden(A,a_2_1_modcat_1(B,C)) <=> ? [D] : ? [E] : ( m2_grcat_1(D,k17_grcat_1(B)) & m2_funct_2(E,k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)),u1_struct_0(D),k9_funct_2(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)),u1_struct_0(D))) & A = k4_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_1_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) & v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ( r2_hidden(A,a_2_1_modelc_3(B,C)) <=> ? [D] : ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) & A = D & v2_modelc_2(D) & r2_tarski(k3_modelc_2(D),u1_modelc_3(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_moebius1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_1_moebius1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k3_xcmplx_0(C,D) & ~ r1_xxreal_0(D,k5_numbers) & r1_nat_d(D,k3_nat_d(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_msafree(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k5_msafree(B,C))) & A = D & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & r1_lang1(k5_msafree(B,C),D,E) ) ) ) ) )).
fof(fraenkel_a_2_1_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_hidden(A,a_2_1_msafree3(B,C)) <=> ? [D] : ( m1_subset_1(D,k10_xtuple_0(C)) & A = k1_xtuple_0(D) & k2_xtuple_0(D) = B ) ) ) )).
fof(fraenkel_a_2_1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_msafree5(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_msafree4(E,u1_struct_0(B),C,k1_msafree4(u1_struct_0(B),C,D)) & A = k6_msafree5(B,C,D,E) ) ) ) )).
fof(fraenkel_a_2_1_msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_1_msscyc_1(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = D & k1_funct_1(u1_msualg_1(B),D) = k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_1_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_msscyc_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & k2_msualg_1(B,D) = C ) ) ) )).
fof(fraenkel_a_2_1_msualg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_msualg_7(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_mycielsk(C,B) ) => ( r2_hidden(A,a_2_1_mycielsk(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & A = k4_tarski(k2_xcmplx_0(D,B),E) & r2_hidden(k4_tarski(D,E),u1_orders_2(C)) ) ) ) )).
fof(fraenkel_a_2_1_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_nagata_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_metric_1(B,D,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(C,1)))) & m1_subset_1(D,u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_1_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_nagata_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_metric_1(B,D,k7_xcmplx_0(1,k11_newton(2,k10_subset_1(C,k4_ordinal1)))) & m1_subset_1(D,u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_1_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_nat_5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k1_newton(C,D) & r1_xxreal_0(D,k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_2_1_ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_ndiff_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) & A = D & ~ r1_xxreal_0(C,k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),D,B))) ) ) ) )).
fof(fraenkel_a_2_1_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_openlatt(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_1_ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_numbers) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_ordeq_02(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & A = D & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_1_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_orders_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r2_orders_2(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_1_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_osafree(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) & A = D & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & r1_lang1(k2_osafree(B,C),D,E) ) ) ) ) )).
fof(fraenkel_a_2_1_pcomps_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_pcomps_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,C) & ~ r1_xboole_0(D,k2_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_1_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_pdiff_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & A = D & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_1_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_pdiff_7(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_petri(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ? [E] : ( m1_petri(E,u1_struct_0(B),u4_struct_0(B),u1_petri(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,C) & E = k1_domain_1(u1_struct_0(B),u4_struct_0(B),F,D) ) ) ) ) ) )).
fof(fraenkel_a_2_1_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m2_finseq_1(C,k2_net_1(B)) ) => ( r2_hidden(A,a_2_1_petri_df(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,k2_relset_1(k2_net_1(B),C)) ) ) ) )).
fof(fraenkel_a_2_1_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( r2_hidden(A,a_2_1_pnproc_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k3_finseq_1(B)) & r2_tarski(D,k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_1_polyred,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) ) => ( r2_hidden(A,a_2_1_polyred(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(g1_orders_2(k15_pre_poly(B),C)))) & m1_subset_1(E,k5_finsub_1(u1_struct_0(g1_orders_2(k15_pre_poly(B),C)))) & A = k4_tarski(D,E) & ( D = k1_xboole_0 | ( D != k1_xboole_0 & E != k1_xboole_0 & k11_bagorder(g1_orders_2(k15_pre_poly(B),C),D) != k11_bagorder(g1_orders_2(k15_pre_poly(B),C),E) & r2_hidden(k4_tarski(k11_bagorder(g1_orders_2(k15_pre_poly(B),C),D),k11_bagorder(g1_orders_2(k15_pre_poly(B),C),E)),u1_orders_2(g1_orders_2(k15_pre_poly(B),C))) ) ) ) ) ) )).
fof(fraenkel_a_2_1_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(B,B)))) ) => ( r2_hidden(A,a_2_1_poset_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(k6_poset_1(B,B))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(B)) & v2_poset_1(F,B,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & F = E & r2_tarski(E,C) & D = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),F,k5_numbers),k3_yellow_0(B)) ) ) ) ) ) )).
fof(fraenkel_a_2_1_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_1_pre_circ(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & ~ r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_1_pscomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_pscomp_1(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,B) & ~ r1_xxreal_0(C,E) ) ) ) )).
fof(fraenkel_a_2_1_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & m1_eqrel_1(C,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_2_1_pua2mss1(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(k9_xtuple_0(B)),C) & A = k5_relat_1(B,D) ) ) ) )).
fof(fraenkel_a_2_1_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_finseq_1(C,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_2_1_qc_lang1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,D),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_2_1_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_2_1_qc_lang3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(k17_qc_lang1(B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k17_qc_lang1(B,C))) & r2_tarski(k1_funct_1(k17_qc_lang1(B,C),D),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_2_1_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v1_finset_1(C) & m1_subset_1(C,k1_substut1(B)) ) => ( r2_hidden(A,a_2_1_qc_trans(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_qc_lang1(B)) & A = D & r2_tarski(k2_qc_lang3(B,D),k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_1_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_quantal1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_algstr_0(B,D,C) & r2_tarski(D,k1_xboole_0) ) ) ) )).
fof(fraenkel_a_2_1_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_1_ramsey_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & k4_card_1(D) = 2 ) ) ) )).
fof(fraenkel_a_2_1_rcomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xxreal_0(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_1_rcomp_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_rcomp_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,C) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(E,C) & r2_xboole_0(D,E) ) ) ) ) )).
fof(fraenkel_a_2_1_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_rfunct_3(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_rinfsup1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_2_1_rinfsup1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(C,D) & r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_1_rinfsup2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_rinfsup2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k12_supinf_2(B,D) & r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_ring_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_group_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_rlaffin1(B,C)) <=> ? [D] : ( m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & k3_rlaffin1(B,D) = 1 ) ) ) )).
fof(fraenkel_a_2_1_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_rlaffin2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_convex1(B,k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_rlsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) ) => ( r2_hidden(A,a_2_1_rlsub_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_struct_0(B),D) & r1_struct_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_rltopsp1(B,C)) <=> ? [D] : ( m1_connsp_2(D,B,k4_struct_0(B)) & A = k7_rusub_4(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m2_finseq_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_rlvect_x(B,C)) <=> ? [D] : ( v3_card_1(D,k3_finseq_1(C)) & m2_finseq_1(D,u1_struct_0(B)) & A = k4_rlvect_1(B,D) & ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k4_numbers) & v1_funct_1(E) & v3_card_1(E,k3_finseq_1(C)) & v1_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => k7_partfun1(u1_struct_0(B),D,F) = k1_rlvect_1(B,k7_partfun1(u1_struct_0(B),C,F),k1_funct_1(E,F)) ) ) ) ) ) ) )).
fof(fraenkel_a_2_1_rolle,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_rolle(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_roughs_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),D),C) ) ) ) )).
fof(fraenkel_a_2_1_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k1_xboole_0,C) ) ) ) )).
fof(fraenkel_a_2_1_roughs_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v18_roughs_4(B) & v28_roughs_4(B) & l4_roughs_4(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_roughs_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)),u1_roughs_4(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) ) => ( r2_hidden(A,a_2_1_rusub_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(C,E) => r1_bhsp_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_1_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( r2_hidden(A,a_2_1_scmfsa10(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(3),k1_scmfsa_2,D,k12_scmfsa_2(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_scmfsa6a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_scmfsa6a(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,C) & r2_tarski(D,k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_2_1_scmfsa8a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_hidden(A,a_2_1_scmfsa8a(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k2_afinsq_1(k2_scmfsa6a(k1_scmfsa8a(k1_nat_1(k4_card_1(C),1)),k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))))) ) ) ) )).
fof(fraenkel_a_2_1_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_scmpds_4(B) & v1_int_1(C) ) => ( r2_hidden(A,a_2_1_scmpds_4(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k2_afinsq_1(k9_compos_1(k1_scmpds_2,k3_scmpds_2(C)))) ) ) ) )).
fof(fraenkel_a_2_1_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( r2_hidden(A,a_2_1_scmpds_9(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,D,k8_scmpds_2(B,C,5)) ) ) ) )).
fof(fraenkel_a_2_1_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_scmring3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(2),k1_scmring2(B),D,k8_scmring2(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_1_scmyciel(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_xboole_0(D,k8_relat_1(B,k1_tarski(D))) ) ) ) )).
fof(fraenkel_a_2_1_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_1_seq_4(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k2_xcmplx_0(D,E) & r2_hidden(D,C) & r2_hidden(E,B) ) ) ) )).
fof(fraenkel_a_2_1_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_setlim_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(B,D) & r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_sf_mastr,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_sf_mastr(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(D) & r2_tarski(D,k2_relset_1(u1_compos_1(k1_scmfsa_2),k5_compos_1(k1_scmfsa_2,B,C))) ) ) ) )).
fof(fraenkel_a_2_1_sppol_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_2_1_sppol_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(2))) & A = D & ~ r1_xxreal_0(B,k3_metric_1(k14_euclid(2),C,D)) ) ) ) )).
fof(fraenkel_a_2_1_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_1_srings_1(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k3_tarski(D) & v4_taxonom2(D) ) ) ) )).
fof(fraenkel_a_2_1_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_1_srings_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,C) & A = k2_zfmisc_1(D,E) & r2_tarski(D,k6_subset_1(B,k1_tarski(k1_xboole_0))) & r2_tarski(E,k6_subset_1(C,k1_tarski(k1_xboole_0))) ) ) )).
fof(fraenkel_a_2_1_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_1_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(k1_nat_1(C,1)),k5_card_1(k1_nat_1(B,1))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(k1_nat_1(B,1))))) & A = D & v2_funct_2(D,k5_card_1(k1_nat_1(B,1))) & v1_stirl2_1(D,k1_nat_1(C,1),k1_nat_1(B,1)) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(k1_nat_1(B,1)),D,k6_domain_1(k5_card_1(k1_nat_1(B,1)),k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),k1_nat_1(B,1),D,C))) = k1_seq_4(C) ) ) ) )).
fof(fraenkel_a_2_1_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_2_1_substut1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_qc_lang1(B)) & A = D & r2_tarski(k2_qc_lang3(B,D),k9_substut1(B,C)) ) ) ) )).
fof(fraenkel_a_2_1_taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_taylor_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,k6_xcmplx_0(B,C))) & ~ r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_1_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & D = k1_tops_1(B,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_1_tex_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_tex_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k4_subset_1(u1_struct_0(B),D,k9_subset_1(u1_struct_0(B),E,C)) & r2_tarski(D,u1_pre_topc(B)) & r2_tarski(E,u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_1_tex_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_tdlat_3(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_tex_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_pre_topc(B,k6_domain_1(u1_struct_0(B),D)) & r2_tarski(D,k7_subset_1(u1_struct_0(B),k2_struct_0(B),k2_pre_topc(B,C))) ) ) ) )).
fof(fraenkel_a_2_1_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v4_pre_topc(D,B) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_1_tmap_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_tmap_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k9_subset_1(u1_struct_0(B),D,C) & r2_tarski(D,u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_1_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))))) ) => ( r2_hidden(A,a_2_1_topdim_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_nat_1(k9_setfam_1(B),k4_funct_2(k4_ordinal1,k9_setfam_1(B),k9_setfam_1(B),C),D) & r1_xxreal_0(1,D) ) ) ) )).
fof(fraenkel_a_2_1_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_topdim_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_tops_1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_topgen_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = k2_pre_topc(B,k5_setfam_1(u1_struct_0(B),D)) & r1_tarski(D,C) & v1_finset_1(k7_subset_1(k1_zfmisc_1(u1_struct_0(B)),C,D)) ) ) ) )).
fof(fraenkel_a_2_1_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_topgen_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = o_2_2_topgen_4(B,D) & r2_tarski(D,C) & D != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_1_topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v2_xxreal_0(C) ) => ( r2_hidden(A,a_2_1_topgen_5(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k9_subset_1(u1_struct_0(k15_euclid(2)),k1_topreal9(2,k19_euclid(B,C),D),k2_topgen_5) & ~ r1_xxreal_0(D,k5_numbers) ) ) ) )).
fof(fraenkel_a_2_1_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_1_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_1_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_1_topreal4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ~ ( D != B & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r1_topreal4(E,B,D) & r1_tarski(E,C) ) ) ) ) ) ) )).
fof(fraenkel_a_2_1_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_topreal6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ( r2_hidden(A,a_2_1_topreal7(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(C)))) & A = k3_borsuk_1(k3_pcomps_1(B),k3_pcomps_1(C),D,E) & r2_tarski(D,u1_pre_topc(k3_pcomps_1(B))) & r2_tarski(E,u1_pre_topc(k3_pcomps_1(C))) ) ) ) )).
fof(fraenkel_a_2_1_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,u1_struct_0(k7_metric_1)) => ( r2_hidden(A,a_2_1_treal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_1_trees_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_trees_1(C) ) => ( r2_hidden(A,a_2_1_trees_1(B,C)) <=> ? [D] : ( m1_trees_1(D,C) & A = k8_finseq_1(k4_ordinal1,B,D) ) ) ) )).
fof(fraenkel_a_2_1_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_1_trees_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k7_finseq_1(C,k9_finseq_1(D)) & r2_tarski(k7_finseq_1(C,k9_finseq_1(D)),B) ) ) ) )).
fof(fraenkel_a_2_1_trees_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v3_trees_3(B) ) => ( r2_hidden(A,a_2_1_trees_9(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_trees_1(E,k9_xtuple_0(D)) & A = k5_trees_2(D,E) & ~ ( r2_tarski(E,k3_trees_1(k9_xtuple_0(D))) & ~ r2_tarski(k1_funct_1(D,E),C) ) ) ) ) )).
fof(fraenkel_a_2_1_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m4_trees_1(C,B) ) => ( r2_hidden(A,a_2_1_trees_a(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,C) & r1_tarski(E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_1_tsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_tsp_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_tex_4(B,D) & r2_tarski(D,k7_subset_1(u1_struct_0(B),k2_struct_0(B),k3_tex_4(B,C))) ) ) ) )).
fof(fraenkel_a_2_1_uniform1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_1_uniform1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_1_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,k2_uniroots(B)) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),C) ) ) ) )).
fof(fraenkel_a_2_1_uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_uproots(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),k5_polynom5(B,k4_algstr_0(B,C),k5_struct_0(B)),k12_polynom3(B,k3_polynom5(B,k5_polynom5(B,k4_algstr_0(B,C),k5_struct_0(B)),D),E)) ) ) ) ) )).
fof(fraenkel_a_2_1_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_1_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(k1_nat_1(B,1),D) & r1_xxreal_0(D,k1_nat_1(B,k3_finseq_1(C))) ) ) ) )).
fof(fraenkel_a_2_1_waybel10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v4_yellow_0(C,B) & v7_yellow_0(C,B) & m1_yellow_0(C,B) ) => ( r2_hidden(A,a_2_1_waybel10(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),k6_waybel10(B,C),D),D) ) ) ) )).
fof(fraenkel_a_2_1_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_1_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k4_yellow_4(B,C,k6_domain_1(u1_struct_0(B),D)),C) ) ) ) )).
fof(fraenkel_a_2_1_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel13(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_orders_2(B,D,C) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_1_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_waybel15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel15(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_1_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel_8(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel16(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_orders_2(B,D,C) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_1_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_1_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_3_waybel17(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_1_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,u1_struct_0(k2_yellow_1(B))) ) => ( r2_hidden(A,a_2_1_waybel18(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k4_card_3(k1_funct_7(k12_pralg_1(B,k7_funcop_1(B,k9_waybel18)),D,k1_tarski(1))) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_waybel19(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_waybel20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v22_waybel_0(C,B,B) & v8_waybel_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_waybel20(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k1_domain_1(k1_zfmisc_1(u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)),k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),k2_waybel20(B,k4_waybel20(B,C)),D),k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),k2_waybel20(B,k4_waybel20(B,C)),E)) & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E)) ) ) ) )).
fof(fraenkel_a_2_1_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_1_waybel21(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_1_waybel21(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_1_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r2_hidden(A,a_2_1_waybel22(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k2_yellow_1(B))) & A = k6_waybel_0(k2_yellow_1(B),D) & ? [E] : ( m1_subset_1(E,B) & D = k1_tarski(E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_1_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_waybel23(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_1_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel24(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r3_orders_2(B,D,E) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) ) ) ) ) )).
fof(fraenkel_a_2_1_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_1_waybel29(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,D,E) & r2_tarski(D,u1_pre_topc(B)) & r2_tarski(E,u1_pre_topc(C)) ) ) ) )).
fof(fraenkel_a_2_1_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( ( ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r3_orders_2(B,D,k1_yellow_0(B,E)) & r1_xboole_0(C,E) ) ) ) ) ) )).
fof(fraenkel_a_2_1_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_waybel31(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_1_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v16_waybel_0(B) & l1_orders_2(B) & v4_waybel11(C) & m1_yellow_9(C,B) ) => ( r2_hidden(A,a_2_1_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k3_subset_1(u1_struct_0(C),k5_waybel_0(C,D)) ) ) ) )).
fof(fraenkel_a_2_1_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_1_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_3_waybel33(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_1_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_waybel_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_1_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_waybel_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D),D) ) ) ) )).
fof(fraenkel_a_2_1_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k3_yellow_3(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) ) => ( r2_hidden(A,a_2_1_waybel_2(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_yellow_0(B,D) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k4_yellow_4(B,k6_domain_1(u1_struct_0(B),E),k5_yellow_3(B,B,C)) & r2_tarski(E,k4_yellow_3(B,B,C)) ) ) ) ) )).
fof(fraenkel_a_2_1_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel_4(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),k11_waybel_4(B,D),C) ) ) ) )).
fof(fraenkel_a_2_1_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel_5(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r3_orders_2(B,C,k1_yellow_0(B,D)) ) ) ) )).
fof(fraenkel_a_2_1_waybel_8,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k2_yellow_1(B))) => ( r2_hidden(A,a_2_1_waybel_8(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = D ) ) ) )).
fof(fraenkel_a_2_1_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_waybel_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k13_lattice3(B,C,D) & r2_tarski(D,k2_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_1_weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_weddwitt(B,C)) <=> ? [D] : ( m2_subset_1(D,u1_struct_0(B),k7_group_3(B,C)) & A = k8_relset_1(u1_struct_0(B),k7_group_3(B,C),k2_weddwitt(B,C),k1_tarski(D)) ) ) ) )).
fof(fraenkel_a_2_1_xxreal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xxreal_0(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_1_xxreal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = D & r1_xxreal_0(B,D) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_yellow11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_yellow11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) ) ) ) ) )).
fof(fraenkel_a_2_1_yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_1_yellow15(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(B)) & A = D & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_1_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_1_yellow19(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_waybel_0(B,C,D) ) ) ) )).
fof(fraenkel_a_2_1_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_1_yellow_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & D = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) ) ) ) )).
fof(fraenkel_a_2_1_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) ) => ( r2_hidden(A,a_2_1_yellow_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k3_yellow_4(B,k6_domain_1(u1_struct_0(B),E),k5_yellow_3(B,B,C)) & r2_tarski(E,k4_yellow_3(B,B,C)) ) ) ) ) )).
fof(fraenkel_a_2_1_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & m4_yellow_6(C,B) ) => ( r2_hidden(A,a_2_1_yellow_6(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,D) => ! [F] : ( ( ~ v2_struct_0(F) & v4_orders_2(F) & v7_waybel_0(F) & l1_waybel_0(F,B) ) => ( r2_hidden(k4_tarski(F,E),C) => r1_waybel_0(B,F,D) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_1_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_1_yellow_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v3_ordinal1(C) ) => ( r2_hidden(A,a_2_1_zf_colla(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ! [E] : ( m1_subset_1(E,B) => ~ ( r2_tarski(E,D) & ! [F] : ( v3_ordinal1(F) => ~ ( r2_tarski(F,C) & r2_tarski(E,k1_zf_colla(B,F)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_1_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_2_1_zf_fund1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k5_classes2(B,k6_classes2(B,k2_ordinal4(B),D),k6_classes2(B,k3_ordinal4(B),D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_1_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_1_zf_model(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_zf_model(B)) & A = D & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( E = D => r2_tarski(k3_funct_2(k1_zf_lang,B,E,k17_zf_lang(C)),k3_funct_2(k1_zf_lang,B,E,k18_zf_lang(C))) ) ) ) ) ) )).
fof(fraenkel_a_2_1_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) ) => ( r2_hidden(A,a_2_1_zmodul01(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_struct_0(B),D) & r1_struct_0(C,D) ) ) ) )).
fof(fraenkel_a_2_1_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) ) => ( r2_hidden(A,a_2_1_zmodul02(B,C)) <=> ? [D] : ( m2_zmodul01(D,B,C) & A = D ) ) ) )).
fof(fraenkel_a_2_1_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m2_funct_2(C,u1_struct_0(B),k4_numbers,k9_funct_2(u1_struct_0(B),k4_numbers)) ) => ( r2_hidden(A,a_2_1_zmodul04(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k4_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_20_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_20_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & A = k8_setfam_1(B,D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_20_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,u1_struct_0(k11_conlat_1(B))) ) => ( r2_hidden(A,a_2_20_conlat_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u4_struct_0(B))) & A = g2_conlat_1(B,D,E) & ? [F] : ( m1_subset_1(F,u4_struct_0(B)) & r2_tarski(F,u3_conlat_1(B,k12_conlat_1(B,C))) & D = k3_funct_2(k1_zfmisc_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),k6_domain_1(u4_struct_0(B),F)) & E = k3_funct_2(k9_setfam_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),k3_funct_2(k1_zfmisc_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),k6_domain_1(u4_struct_0(B),F))) ) ) ) ) )).
fof(fraenkel_a_2_20_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_20_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C),1)),D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_20_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_20_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(C) & r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_20_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(o_1_16_waybel30(B))) ) => ( r2_hidden(A,a_2_20_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(o_1_16_waybel30(B)))) & A = k2_yellow_0(o_1_16_waybel30(B),D) & r2_tarski(C,D) & r2_tarski(D,k5_waybel11(o_1_16_waybel30(B))) ) ) ) )).
fof(fraenkel_a_2_21_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v6_armstrng(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_21_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & A = k8_setfam_1(B,D) & r1_tarski(D,k9_armstrng(B,C)) ) ) ) )).
fof(fraenkel_a_2_21_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_21_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & r1_conlat_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_21_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_21_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C),1))) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_21_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_21_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(C) & r1_xxreal_0(k18_euclid(k19_euclid(k17_euclid(C),k18_euclid(B))),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_21_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,B) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_21_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) & r1_orders_2(C,o_2_20_waybel11(B,C),D) ) ) ) )).
fof(fraenkel_a_2_21_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(o_1_16_waybel30(B))) ) => ( r2_hidden(A,a_2_21_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(C,D) & r2_tarski(D,k2_waybel19(B)) ) ) ) )).
fof(fraenkel_a_2_22_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_22_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & A = k8_setfam_1(B,D) & r1_tarski(D,k2_armstrng(C)) ) ) ) )).
fof(fraenkel_a_2_22_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,u1_struct_0(k11_conlat_1(B))) ) => ( r2_hidden(A,a_2_22_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,u2_conlat_1(B,k12_conlat_1(B,C))) => r1_conlat_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_22_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_22_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) ) ) ) )).
fof(fraenkel_a_2_22_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_22_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(B),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(k19_euclid(k17_euclid(C),k18_euclid(B)))) ) ) ) )).
fof(fraenkel_a_2_22_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_22_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,a_1_1_waybel11(B)) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_23_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_23_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ! [F] : ( ( r2_tarski(F,C) & r1_tarski(D,F) ) => r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_2_23_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,u1_struct_0(k11_conlat_1(B))) ) => ( r2_hidden(A,a_2_23_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ( r2_tarski(E,u3_conlat_1(B,k12_conlat_1(B,C))) => r1_conlat_1(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_23_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_23_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1)),E) ) ) ) )).
fof(fraenkel_a_2_23_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_23_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(k19_euclid(k17_euclid(C),k18_euclid(B))),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_24_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_24_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ~ ( r2_tarski(E,C) & k9_subset_1(B,D,E) = k1_xboole_0 ) ) ) ) ) )).
fof(fraenkel_a_2_24_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(k7_conlat_2(B)))) ) => ( r2_hidden(A,a_2_24_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_conlat_2(B))) & A = D & ! [E] : ( m1_subset_1(E,u4_struct_0(k7_conlat_2(B))) => ( r2_tarski(E,C) => r1_conlat_1(k7_conlat_2(B),D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_24_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_24_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_matrix_0(C))),E) ) ) ) )).
fof(fraenkel_a_2_25_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_25_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = k1_funct_4(k8_funcop_1(k4_ordinal1,B,k5_numbers),k8_funcop_1(k1_zfmisc_1(B),D,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_25_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_conlat_2(B)))) ) => ( r2_hidden(A,a_2_25_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(k7_conlat_2(B))) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(k7_conlat_2(B))) => ( r2_tarski(E,C) => r1_conlat_1(k7_conlat_2(B),E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_25_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_25_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_matrix_0(C)))) ) ) ) )).
fof(fraenkel_a_2_25_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v1_algstr_1(B) & v1_int_3(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v1_ideal_1(C,B) & v2_ideal_1(C,B) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_25_ideal_1(B,C)) <=> ? [D] : ( m2_subset_1(D,u1_struct_0(B),C) & A = D & D != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_2_26_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v2_armstrng(C) & l1_armstrng(C) ) => ( r2_hidden(A,a_2_26_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_hidden(k4_tarski(D,B),k8_armstrng(u1_armstrng(C),k5_armstrng(C))) ) ) ) )).
fof(fraenkel_a_2_27_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_27_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ! [F] : ( ( r2_tarski(F,C) & r1_tarski(D,F) ) => r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_2_28_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v1_ideal_1(C,B) & v2_ideal_1(C,B) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_28_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) ) ) )).
fof(fraenkel_a_2_28_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_28_member_1(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k6_xcmplx_0(D,E) & r2_hidden(D,k1_tarski(C)) & r2_hidden(E,B) ) ) ) )).
fof(fraenkel_a_2_29_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_29_member_1(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k6_xcmplx_0(D,E) & r2_hidden(D,B) & r2_hidden(E,k1_tarski(C)) ) ) ) )).
fof(fraenkel_a_2_2_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v1_abcmiz_0(B) & ~ v4_abcmiz_0(B) & v9_abcmiz_0(B) & v14_abcmiz_0(B) & l3_abcmiz_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_abcmiz_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_abcmiz_0(B))) & r6_abcmiz_0(B,D,E) & k6_abcmiz_0(B,D,E) = C ) ) ) ) )).
fof(fraenkel_a_2_2_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v6_trees_3(C) ) => ( r2_hidden(A,a_2_2_abcmiz_1(B,C)) <=> ? [D] : ( m1_abcmiz_1(D,B,k14_abcmiz_1(B)) & A = k46_abcmiz_1(B,D) & r2_tarski(D,k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_2_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & v1_abcmiz_a(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) ) => ( r2_hidden(A,a_2_2_abcmiz_a(B,C)) <=> ? [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = D & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D) = k2_msualg_1(B,C) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_2_2_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_hidden(A,a_2_2_afinsq_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,k2_afinsq_1(C)) ) ) ) )).
fof(fraenkel_a_2_2_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v6_membered(B) & v1_finset_1(C) & v6_membered(C) ) => ( r2_hidden(A,a_2_2_afinsq_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_xboole_0(B,C)) & A = D & ? [E] : ( v7_ordinal1(E) & D = k1_recdef_1(k5_relat_1(k4_afinsq_2(k2_xboole_0(B,C)),k4_card_1(B)),E) & r2_tarski(E,k4_card_1(B)) ) ) ) ) )).
fof(fraenkel_a_2_2_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) & v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_2_algstr_4(B,C)) <=> ? [D] : ( v1_partfun1(D,u1_struct_0(B)) & v3_relat_2(D) & v8_relat_2(D) & v1_algstr_4(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & A = D & ! [E] : ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(E,k9_xtuple_0(C)) & k1_funct_1(C,E) = k4_tarski(F,G) ) => r2_tarski(F,k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),D,G)) ) ) ) ) ) ) )).
fof(fraenkel_a_2_2_ami_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_ami_6(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(2),k1_ami_3,D,k9_ami_3(C,B)) ) ) ) )).
fof(fraenkel_a_2_2_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(B) & m1_subset_1(C,u1_compos_1(k4_amistd_1(B))) ) => ( r2_hidden(A,a_2_2_amistd_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(B,k4_amistd_1(B),D,C) ) ) ) )).
fof(fraenkel_a_2_2_amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(B) & m1_subset_1(C,k4_compos_0(u1_compos_1(k1_extpro_1(B)))) ) => ( r2_hidden(A,a_2_2_amistd_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k1_extpro_1(B))) & A = k2_compos_0(D) & k5_compos_0(u1_compos_1(k1_extpro_1(B)),D) = C ) ) ) )).
fof(fraenkel_a_2_2_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_2_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ( r1_tarski(C,D) | r1_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_2_2_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_2_2_asympt_0(B,C)) <=> ? [D] : ( m2_funct_2(D,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = D & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(F,k5_numbers) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(G,H) & r2_tarski(H,C) ) => ( r1_xxreal_0(k3_xcmplx_0(F,k8_nat_1(k1_numbers,B,H)),k8_nat_1(k1_numbers,D,H)) & r1_xxreal_0(k8_nat_1(k1_numbers,D,H),k3_xcmplx_0(E,k8_nat_1(k1_numbers,B,H))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_2_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(B) => ( r2_hidden(A,a_2_2_bagorder(B,C)) <=> ? [D] : ( m2_subset_1(D,k14_pre_poly(B),k15_pre_poly(B)) & A = k3_bagorder(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) & m2_subset_1(C,u1_struct_0(B),k5_bcialg_1(B)) ) => ( r2_hidden(A,a_2_2_bcialg_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_bcialg_1(B,k6_bcialg_1(B,C,C),D) ) ) ) )).
fof(fraenkel_a_2_2_bintree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & v1_bintree1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_bintree2(B,C)) <=> ? [D] : ( m1_bintree2(D,B) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_2_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & m1_pre_topc(C,B) ) => ( r2_hidden(A,a_2_2_borsuk_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),D) & ~ r2_tarski(D,u1_struct_0(C)) ) ) ) )).
fof(fraenkel_a_2_2_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_2_borsuk_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C,B))))) & A = k5_setfam_1(u1_struct_0(k2_borsuk_1(C,B)),D) & r1_tarski(D,a_2_1_borsuk_3(B,C)) ) ) ) )).
fof(fraenkel_a_2_2_borsuk_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k5_topmetr)) & m1_subset_1(C,u1_struct_0(k5_topmetr)) ) => ( r2_hidden(A,a_2_2_borsuk_4(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_2_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k5_margrel1))) ) => ( r2_hidden(A,a_2_2_bvfunc_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k1_funct_1(C,D) = k7_margrel1 ) ) ) )).
fof(fraenkel_a_2_2_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( v4_funct_1(B) => ( r2_hidden(A,a_2_2_card_3(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k1_funct_1(D,C) ) ) ) )).
fof(fraenkel_a_2_2_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_2_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,k10_xtuple_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k10_xtuple_0(C)))) & A = D & v2_funct_1(D) & ! [E] : ~ ( r2_tarski(E,B) & k1_funct_1(D,E) = k1_funct_1(C,E) ) ) ) ) )).
fof(fraenkel_a_2_2_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_2_card_lar(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ~ v1_finset_1(D) & v4_ordinal1(D) & k3_ordinal2(k8_subset_1(B,C,D)) = D ) ) ) )).
fof(fraenkel_a_2_2_cardfin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_2_cardfin2(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & ~ v2_funct_1(D) ) ) ) )).
fof(fraenkel_a_2_2_catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_2_catalan2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & ~ r1_xxreal_0(k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(k1_catalan2(C,B),D))),D) ) ) ) )).
fof(fraenkel_a_2_2_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_2_cc0sp2(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(B,k9_complex1(k6_xcmplx_0(D,C))) ) ) ) )).
fof(fraenkel_a_2_2_cfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k2_numbers) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_cfdiff_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & r1_xxreal_0(k9_complex1(k6_xcmplx_0(D,B)),C) ) ) ) )).
fof(fraenkel_a_2_2_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_cgames_1(C) ) => ( r2_hidden(A,a_2_2_cgames_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_cgames_1(C)) & A = k1_funct_1(B,D) & k6_cgames_1(C) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_2_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_chain_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & A = D & r2_hidden(D,B) & ~ r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_2_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & m3_glib_001(C,B) ) => ( r2_hidden(A,a_2_2_chord(B,C)) <=> ? [D] : ( v5_glib_001(D,B) & m3_glib_001(D,B) & A = k3_finseq_1(D) & r1_glib_001(B,k3_glib_001(B,C),k4_glib_001(B,C),D) ) ) ) )).
fof(fraenkel_a_2_2_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( r2_hidden(A,a_2_2_classes1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_classes1(B)) & A = D & ? [E] : ( v3_ordinal1(E) & r2_tarski(E,C) & r2_tarski(D,k3_classes1(B,E)) ) ) ) ) )).
fof(fraenkel_a_2_2_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) ) => ( r2_hidden(A,a_2_2_closure2(B,C)) <=> ? [D] : ( m1_closure2(D,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = D & r6_pboole(u1_struct_0(B),k7_closure2(u1_struct_0(B),u3_msualg_1(B,C),k12_closure2(B,C),D),D) ) ) ) )).
fof(fraenkel_a_2_2_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( v1_finset_1(C) => ( r2_hidden(A,a_2_2_combgras(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & k1_card_1(D) = k1_nat_1(k4_card_1(C),1) & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_2_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_compl_sp(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_pcomps_1(B))) & A = k6_domain_1(u1_struct_0(k3_pcomps_1(B)),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_compos_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_compos_0(B) & v2_compos_0(B) & v3_compos_0(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_2_2_compos_0(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k2_compos_0(D) & k5_compos_0(B,C) = k5_compos_0(B,D) ) ) ) )).
fof(fraenkel_a_2_2_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & r1_conlat_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_2_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) ) => ( r2_hidden(A,a_2_2_conlat_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u4_struct_0(B))) & A = u2_conlat_1(B,g2_conlat_1(B,D,E)) & r2_tarski(g2_conlat_1(B,D,E),C) ) ) ) )).
fof(fraenkel_a_2_2_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_2_2_cqc_sim1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(k17_qc_lang1(B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k17_qc_lang1(B,C))) ) ) ) )).
fof(fraenkel_a_2_2_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_2_domain_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ~ r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_dualsp02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_normsp_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_2_euclid_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k12_euclid(k5_algstr_0(k15_euclid(2),D,k19_euclid(k17_euclid(B),k18_euclid(B)))) = k12_euclid(k5_algstr_0(k15_euclid(2),C,B)) ) ) ) )).
fof(fraenkel_a_2_2_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_rlvect_2(C,k10_funcsdom(k2_finseq_1(B))) ) => ( r2_hidden(A,a_2_2_euclid_7(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) & A = D & k3_funct_2(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),k1_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_2_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_2_fcont_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,k6_xcmplx_0(C,B))) & ~ r1_xxreal_0(k2_xcmplx_0(B,k6_xcmplx_0(C,B)),D) ) ) ) )).
fof(fraenkel_a_2_2_fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_fdiff_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k3_xxreal_0(B,C),1)) & ~ r1_xxreal_0(k2_xcmplx_0(k4_xxreal_0(B,C),1),D) ) ) ) )).
fof(fraenkel_a_2_2_fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_fin_topo(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k1_fin_topo(B,D),C) ) ) ) )).
fof(fraenkel_a_2_2_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_finance1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = D & r1_xxreal_0(B,D) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_2_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_finseq_2(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_2_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_fintopo2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_fintopo2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(E,k6_fintopo2(B,D)) & r1_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_2_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_fomodel1(B,C)) <=> ? [D] : ( v10_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) & A = k24_fomodel1(B,D,k1_funct_1(k28_fomodel1(B),C)) & v6_fomodel1(D,B) ) ) ) )).
fof(fraenkel_a_2_2_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_fomodel2(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k24_fomodel2(B,C)) & m2_subset_1(E,k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k24_fomodel2(B,C)) & A = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),D),E) ) ) ) )).
fof(fraenkel_a_2_2_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m2_subset_1(C,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) ) => ( r2_hidden(A,a_2_2_fomodel3(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = a_3_0_fomodel3(B,C,D) & r2_tarski(D,k4_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_2_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_2_funct_7(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,a_1_7_funct_7(C)) ) ) ) )).
fof(fraenkel_a_2_2_fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v1_realset2(B) & l6_algstr_0(B) & m1_fvaluat1(C,B) ) => ( r2_hidden(A,a_2_2_fvaluat1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xxreal_0(k3_funct_2(u1_struct_0(B),k6_numbers,C,D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_2_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_2_goboard2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_2_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_2_goboard3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_2_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1))) ) ) ) )).
fof(fraenkel_a_2_2_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_2_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1)),D) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_2_goboard9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_2_goboard9(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_2_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_2_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_2_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1)),D) ) ) ) )).
fof(fraenkel_a_2_2_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_2_gobrd13(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) ) ) ) )).
fof(fraenkel_a_2_2_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_finseq_1(C,k3_cqc_lang(B)) ) => ( r2_hidden(A,a_2_2_goedelcp(B,C)) <=> ? [D] : ( m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) & A = k24_qc_lang1(B,D) & r2_tarski(D,k2_relset_1(k3_cqc_lang(B),C)) ) ) ) )).
fof(fraenkel_a_2_2_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( r2_hidden(A,a_2_2_graph_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & r2_tarski(E,C) & ( D = k1_funct_1(u1_graph_1(B),E) | D = k1_funct_1(u2_graph_1(B),E) ) ) ) ) ) )).
fof(fraenkel_a_2_2_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u4_struct_0(B)) ) => ( r2_hidden(A,a_2_2_graph_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(C)) & r2_tarski(D,k1_graph_5(B,k7_partfun1(u4_struct_0(B),C,E))) ) ) ) ) )).
fof(fraenkel_a_2_2_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_graphsp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r2_tarski(D,k4_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,C) & k1_funct_1(B,D) = k4_xcmplx_0(1) ) ) ) )).
fof(fraenkel_a_2_2_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_2_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_zfmisc_1(B,k6_domain_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_2_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_group_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),D) & r2_tarski(D,k7_group_3(B,C)) ) ) ) )).
fof(fraenkel_a_2_2_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_group_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( v15_algstr_0(E) & m1_group_2(E,B) & D = u1_struct_0(E) & r1_tarski(k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),k1_group_1(B))),k8_group_2(B,E)) ) ) ) ) )).
fof(fraenkel_a_2_2_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_2_group_9(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k4_tarski(k6_xcmplx_0(D,1),D) & r2_tarski(D,C) & ~ r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_2_int_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_2_int_8(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_int_2(C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_newton(C,B)) ) ) ) )).
fof(fraenkel_a_2_2_integra2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_integra2(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = k4_xxreal_3(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_roughs_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k21_interva1(B)))) ) => ( r2_hidden(A,a_2_2_interva1(B,C)) <=> ? [D] : ( m2_interva1(D,B) & A = k15_interva1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_jct_misc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_2_jct_misc(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k9_complex1(k6_xcmplx_0(D,E)) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_2_jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_jgraph_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ~ r1_xxreal_0(k17_euclid(D),k6_xcmplx_0(k17_euclid(B),k7_xcmplx_0(C,k3_square_1(2)))) & ~ r1_xxreal_0(k2_xcmplx_0(k17_euclid(B),k7_xcmplx_0(C,k3_square_1(2))),k17_euclid(D)) & ~ r1_xxreal_0(k18_euclid(D),k6_xcmplx_0(k18_euclid(B),k7_xcmplx_0(C,k3_square_1(2)))) & ~ r1_xxreal_0(k2_xcmplx_0(k18_euclid(B),k7_xcmplx_0(C,k3_square_1(2))),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_2_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_2_jordan(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k6_xcmplx_0(k17_euclid(k1_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2))) & ~ r1_xxreal_0(k2_xcmplx_0(k17_euclid(k1_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2)),D) ) ) ) )).
fof(fraenkel_a_2_2_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_jordan1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(D,C) & r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_2_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_jordan10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = D & r2_jordan2c(2,k3_topreal1(2,k1_jordan9(B,C)),D) ) ) ) )).
fof(fraenkel_a_2_2_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_jordan12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1))) ) ) ) )).
fof(fraenkel_a_2_2_jordan1b,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_jordan1b(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,C)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_2_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_jordan20(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan5c(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),D) & r1_jordan5c(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),D,k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1))) ) ) ) )).
fof(fraenkel_a_2_2_jordan21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_jordan21(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(B,D) & ~ r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_2_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_jordan2b(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k9_finseq_1(D) & ~ r1_xxreal_0(D,k6_xcmplx_0(C,B)) & ~ r1_xxreal_0(k2_xcmplx_0(C,B),D) ) ) ) )).
fof(fraenkel_a_2_2_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) & A = D & ~ r1_xxreal_0(k12_euclid(D),C) ) ) ) )).
fof(fraenkel_a_2_2_jordan3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_2_jordan3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k2_rfinseq(u1_struct_0(k15_euclid(2)),C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k2_rfinseq(u1_struct_0(k15_euclid(2)),C,B))) ) ) ) )).
fof(fraenkel_a_2_2_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_jordan5a(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_2_jordan5b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_jordan5b(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_2_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_2_jordan6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_2_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_2_jordan7(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan6(B,k18_pscomp_1(B),D) & r1_jordan6(B,D,C) ) ) ) )).
fof(fraenkel_a_2_2_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_jordan8(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k3_finseq_1(k1_jordan8(B,C)),1)),D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k1_matrix_0(k1_jordan8(B,C)))),E) ) ) ) )).
fof(fraenkel_a_2_2_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(C,B) ) => ( r2_hidden(A,a_2_2_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k4_jordan1k(2,k2_jordan_a(B,k3_finseq_1(C),C),k2_jordan_a(B,D,C)) & ~ r1_xxreal_0(D,1) & ~ r1_xxreal_0(k7_nat_d(k3_finseq_1(C),1),D) ) ) ) )).
fof(fraenkel_a_2_2_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_2_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_abian(u1_struct_0(B),D,C) ) ) ) )).
fof(fraenkel_a_2_2_laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_2_laplace(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_tarski(D,B) & r2_tarski(k2_tarski(D,B),k2_sgraph1(k2_finseq_1(k1_nat_1(C,2)))) ) ) ) )).
fof(fraenkel_a_2_2_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_2_2_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r4_lattice3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_2_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & m2_lattice5(C,u1_struct_0(B),B,k16_lattice5(B)) ) => ( r2_hidden(A,a_2_2_lattice5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k2_xfamily(k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_2_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D) & D != C ) ) ) )).
fof(fraenkel_a_2_2_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v3_ordinal1(C) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_2_lattice8(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_zfmisc_1(k3_lattice8(B,D),k3_lattice8(B,D)) ) ) ) )).
fof(fraenkel_a_2_2_latticea,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_latticea(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k4_lattices(B,C,D) = k5_lattices(B) ) ) ) )).
fof(fraenkel_a_2_2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_2_lfuzzy_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)),a_3_3_lfuzzy_1(B,C,D)) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_2_limfunc3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_limfunc3(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,C) & ~ r1_xxreal_0(k2_xcmplx_0(C,B),D) ) ) ) )).
fof(fraenkel_a_2_2_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_mathmorp(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_algstr_0(B,D) & r2_tarski(D,k2_mathmorp(B,C)) ) ) ) )).
fof(fraenkel_a_2_2_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v3_pencil_1(B) & v1_matroid0(B) & v2_matroid0(B) & v4_matroid0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_matroid0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_matroid0(B,D,C) ) ) ) )).
fof(fraenkel_a_2_2_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_2_measure6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k2_xcmplx_0(B,D) & r2_hidden(D,C) ) ) ) )).
fof(fraenkel_a_2_2_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v2_membered(C) ) => ( r2_hidden(A,a_2_2_member_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k6_numbers) & m1_subset_1(E,k6_numbers) & A = k3_xxreal_3(D,E) & r2_tarski(D,B) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_2_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_2_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k30_mmlquery(B,D),k2_relset_1(u1_mmlquery(B),C)) ) ) ) )).
fof(fraenkel_a_2_2_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_2_modal_1(B,C)) <=> ? [D] : ( m2_finseq_2(D,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & A = k8_finseq_1(k4_ordinal1,C,D) & r2_tarski(k8_finseq_1(k4_ordinal1,C,D),B) ) ) ) )).
fof(fraenkel_a_2_2_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) & v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ( r2_hidden(A,a_2_2_modelc_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k15_modelc_2)) & A = D & r1_tarski(k27_modelc_3(B,C),D) & r1_xboole_0(k28_modelc_3(B,C),D) ) ) ) )).
fof(fraenkel_a_2_2_moebius1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_moebius1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_xxreal_0(D,k5_numbers) & r1_nat_d(D,C) & ~ r1_nat_d(B,D) ) ) ) )).
fof(fraenkel_a_2_2_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_hidden(A,a_2_2_msafree3(B,C)) <=> ? [D] : ( m1_subset_1(D,k10_xtuple_0(B)) & A = k1_xtuple_0(D) & k2_xtuple_0(D) = C ) ) ) )).
fof(fraenkel_a_2_2_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_nagata_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_metric_1(B,D,k7_xcmplx_0(1,k11_newton(2,k10_subset_1(k1_nat_1(C,1),k4_ordinal1)))) & m1_subset_1(D,u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_2_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_nat_5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k2_finseq_1(B)) & r2_tarski(C,k3_moebius1(B)) & E = C & k6_nat_d(D,B) = k7_xcmplx_0(B,E) ) ) ) ) )).
fof(fraenkel_a_2_2_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ( r2_hidden(A,a_2_2_nattra_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k6_cat_2(B,C))) & A = k4_cat_1(k6_cat_2(B,C),D) ) ) ) )).
fof(fraenkel_a_2_2_ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_numbers) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_ndiff_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & A = D & ~ r1_xxreal_0(C,k9_complex1(k5_real_1(D,B))) ) ) ) )).
fof(fraenkel_a_2_2_ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_2_ordeq_02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) & A = D & ~ r1_xxreal_0(C,k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),D,B))) ) ) ) )).
fof(fraenkel_a_2_2_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v3_ordinal1(C) ) => ( r2_hidden(A,a_2_2_ordinal6(B,C)) <=> ? [D] : ( m1_subset_1(D,k9_xtuple_0(k1_funct_1(k5_relat_1(k11_ordinal6(B),C),k5_numbers))) & A = D & r2_tarski(D,k9_xtuple_0(k1_funct_1(k5_relat_1(k11_ordinal6(B),C),k5_numbers))) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & v1_ordinal2(E) ) => ( r2_tarski(E,k10_xtuple_0(k5_relat_1(k11_ordinal6(B),C))) => r1_abian(D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_2_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_petri(B,C)) <=> ? [D] : ( m1_petri(D,u4_struct_0(B),u1_struct_0(B),u2_petri(B)) & A = k4_petri(B,D) & r2_tarski(k5_petri(B,D),C) ) ) ) )).
fof(fraenkel_a_2_2_petri_df,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m2_finseq_1(C,k2_net_1(B)) ) => ( r2_hidden(A,a_2_2_petri_df(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & r2_tarski(D,k2_relset_1(k2_net_1(B),C)) ) ) ) )).
fof(fraenkel_a_2_2_polyred,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) ) => ( r2_hidden(A,a_2_2_polyred(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(g1_orders_2(k15_pre_poly(B),C)))) & m1_subset_1(E,k5_finsub_1(u1_struct_0(g1_orders_2(k15_pre_poly(B),C)))) & A = k4_tarski(D,E) & ( D = k1_xboole_0 | ( D != k1_xboole_0 & E != k1_xboole_0 & k11_bagorder(g1_orders_2(k15_pre_poly(B),C),D) != k11_bagorder(g1_orders_2(k15_pre_poly(B),C),E) & r2_hidden(k4_tarski(k11_bagorder(g1_orders_2(k15_pre_poly(B),C),D),k11_bagorder(g1_orders_2(k15_pre_poly(B),C),E)),u1_orders_2(g1_orders_2(k15_pre_poly(B),C))) ) ) ) ) ) )).
fof(fraenkel_a_2_2_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_2_pre_circ(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & ~ r2_xboole_0(C,D) ) ) ) )).
fof(fraenkel_a_2_2_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m3_pua2mss1(C,B) ) => ( r2_hidden(A,a_2_2_pua2mss1(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(E,C,k3_finseq_2(C)) & A = k4_tarski(D,E) & ~ r2_subset_1(k4_card_3(E),k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,D))) ) ) ) )).
fof(fraenkel_a_2_2_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_2_2_qc_lang1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(k17_qc_lang1(B,C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k17_qc_lang1(B,C))) & r2_tarski(k1_funct_1(k17_qc_lang1(B,C),D),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_2_2_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) ) => ( r2_hidden(A,a_2_2_qc_trans(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_qc_lang1(B)) & A = D & r2_tarski(k2_qc_lang3(B,D),k9_substut1(B,C)) ) ) ) )).
fof(fraenkel_a_2_2_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_quantal1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_algstr_0(B,C,D) & r2_tarski(D,k1_xboole_0) ) ) ) )).
fof(fraenkel_a_2_2_rcomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_2_rcomp_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_2_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_2_rcomp_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = D & m1_setfam_1(D,u1_struct_0(B)) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_rinfsup2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( r2_hidden(A,a_2_2_rinfsup2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k12_supinf_2(C,D) & r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_2_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_rlaffin1(B,C)) <=> ? [D] : ( v2_rusub_4(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_2_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_rlaffin2(B,C)) <=> ? [D] : ( v2_convex1(D,B) & m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & r2_tarski(D,k1_convex3(B)) ) ) ) )).
fof(fraenkel_a_2_2_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_rltopsp1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k1_algstr_0(B,k4_struct_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_rolle,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_numbers) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_rolle(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,C)) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),D) ) ) ) )).
fof(fraenkel_a_2_2_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_roughs_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_roughs_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k1_numbers,k6_roughs_1(B,C),D) = 1 ) ) ) )).
fof(fraenkel_a_2_2_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v1_yellow_3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k9_relat_1(k1_xboole_0,D),C) ) ) ) )).
fof(fraenkel_a_2_2_roughs_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v18_roughs_4(B) & v28_roughs_4(B) & l4_roughs_4(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_2_roughs_4(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B))) & A = k3_funct_2(k9_setfam_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)),u1_roughs_4(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_rusub_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r1_bhsp_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_2_scmfsa10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( r2_hidden(A,a_2_2_scmfsa10(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(3),k1_scmfsa_2,D,k13_scmfsa_2(B,C)) ) ) ) )).
fof(fraenkel_a_2_2_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) ) => ( r2_hidden(A,a_2_2_scmpds_9(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,D,k9_scmpds_2(B,C,5)) ) ) ) )).
fof(fraenkel_a_2_2_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_scmring3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k1_scmring2(B))) & A = k7_subset_1(k4_ordinal1,k1_amistd_1(k5_card_1(2),k1_scmring2(B),C,D),k2_amistd_1(k5_card_1(2),k1_scmring2(B),D)) ) ) ) )).
fof(fraenkel_a_2_2_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v4_scmyciel(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_2_scmyciel(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_tarski(k3_tarski(B),k4_tarski(D,k3_tarski(B))) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_sf_mastr,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_2_sf_mastr(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(D) & r2_tarski(D,k2_xboole_0(B,C)) ) ) )).
fof(fraenkel_a_2_2_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_simplex1(B,C)) <=> ? [D] : ( v2_convex1(D,B) & m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & r2_tarski(D,k1_convex3(B)) ) ) ) )).
fof(fraenkel_a_2_2_sppol_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_2_sppol_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,B,D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) & D != C & D != k1_nat_1(C,1) ) ) ) )).
fof(fraenkel_a_2_2_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_srings_1(C,B) & v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_2_srings_1(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k3_tarski(D) & v4_taxonom2(D) ) ) ) )).
fof(fraenkel_a_2_2_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_srings_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_2_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(C),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(C),k5_card_1(B)))) & A = D & v2_funct_2(D,k5_card_1(B)) & v1_stirl2_1(D,C,B) ) ) ) )).
fof(fraenkel_a_2_2_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v1_finset_1(C) & m1_subset_1(C,k1_substut1(B)) ) => ( r2_hidden(A,a_2_2_substut1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_qc_lang1(B)) & A = D & r2_tarski(k2_qc_lang3(B,D),k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_2_taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_taylor_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(k2_xcmplx_0(B,k6_xcmplx_0(C,B)),D) ) ) ) )).
fof(fraenkel_a_2_2_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_2_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & D = k2_pre_topc(B,k1_tops_1(B,E)) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_2_tdlat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_tdlat_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,C) & E = k1_tarski(F) & D = k2_pre_topc(B,E) ) ) ) ) ) )).
fof(fraenkel_a_2_2_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v3_pre_topc(D,B) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k14_euclid(1))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_topdim_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(1))) & A = D & r1_xxreal_0(k3_metric_1(k14_euclid(1),B,D),C) ) ) ) )).
fof(fraenkel_a_2_2_topreal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_topreal1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(C,2),B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(C,2),B))) ) ) ) )).
fof(fraenkel_a_2_2_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_2_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(B),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_2_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_2_topreal4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_2_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_topreal6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k17_euclid(B),k7_xcmplx_0(C,k3_square_1(2)))) & ~ r1_xxreal_0(k2_xcmplx_0(k17_euclid(B),k7_xcmplx_0(C,k3_square_1(2))),D) ) ) ) )).
fof(fraenkel_a_2_2_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_2_treal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_2_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m1_trees_2(C,B) ) => ( r2_hidden(A,a_2_2_trees_2(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & ? [E] : ( m2_finseq_1(E,k4_ordinal1) & r2_tarski(E,C) & r1_tarski(D,E) ) ) ) ) )).
fof(fraenkel_a_2_2_trees_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v3_trees_3(C) ) => ( r2_hidden(A,a_2_2_trees_9(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k7_trees_9(D,B) ) ) ) )).
fof(fraenkel_a_2_2_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & m4_trees_1(C,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_2_2_trees_a(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(B)) & A = D & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,C) & r1_tarski(E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_2_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_2_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,k2_uniroots(B)) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),k2_xcmplx_0(C,1)) ) ) ) )).
fof(fraenkel_a_2_2_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_2_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_2_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_2_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_1_waybel11(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_2_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k4_yellow_4(B,C,k6_domain_1(u1_struct_0(B),D)),C) ) ) ) )).
fof(fraenkel_a_2_2_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v1_yellow_0(B) & v2_waybel_8(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_waybel13(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_orders_2(B,D,k1_yellow_0(B,C)) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_2_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k5_waybel_0(B,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_waybel15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_waybel15(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_2_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_2_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) ) ) ) )).
fof(fraenkel_a_2_2_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_2_2_waybel18(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_hidden(C,D) & v3_pre_topc(D,B) ) ) ) )).
fof(fraenkel_a_2_2_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_2_2_waybel22(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_waybel23(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_2_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_2_waybel28(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) & r1_orders_2(C,o_2_1_waybel28(B,C),D) ) ) ) )).
fof(fraenkel_a_2_2_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) & v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(B))) ) => ( r2_hidden(A,a_2_2_waybel29(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k3_borsuk_1(C,B,D,E) & r2_tarski(D,u1_pre_topc(C)) & r2_tarski(E,u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_2_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_2_2_waybel31(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(B)) & A = D & r2_hidden(C,D) ) ) ) )).
fof(fraenkel_a_2_2_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_2_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_2_waybel32(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_2_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_2_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_4_waybel33(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_2_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_waybel_0(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_2_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_waybel_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k11_lattice3(B,C,D) = k3_yellow_0(B) ) ) ) )).
fof(fraenkel_a_2_2_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k3_yellow_3(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) ) => ( r2_hidden(A,a_2_2_waybel_2(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k4_yellow_4(B,k6_domain_1(u1_struct_0(B),E),k5_yellow_3(B,B,C)) & r2_tarski(E,k4_yellow_3(B,B,C)) ) ) ) ) )).
fof(fraenkel_a_2_2_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v2_waybel_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_waybel_4(B,C)) <=> ? [D] : ( v5_waybel_4(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & A = k5_waybel_4(B,C,D) & r2_tarski(D,k12_waybel_4(B)) ) ) ) )).
fof(fraenkel_a_2_2_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_waybel_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_2_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_waybel_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k13_lattice3(B,D,C) = C ) ) ) )).
fof(fraenkel_a_2_2_weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_2_weddwitt(B,C)) <=> ? [D] : ( m2_subset_1(D,u1_struct_0(B),k7_group_3(B,C)) & A = k8_relset_1(u1_struct_0(B),k7_group_3(B,C),k2_weddwitt(B,C),k1_tarski(D)) ) ) ) )).
fof(fraenkel_a_2_2_xxreal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xxreal_0(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_2_xxreal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = D & ~ r1_xxreal_0(D,B) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_2_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_2_2_yellow_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_lattice3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_2_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_2_yellow_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k5_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_2_zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v3_ordinal1(C) ) => ( r2_hidden(A,a_2_2_zf_colla(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ! [E] : ( m1_subset_1(E,B) => ~ ( r2_tarski(E,D) & ! [F] : ( v3_ordinal1(F) => ~ ( r2_tarski(F,k1_ordinal1(C)) & r2_tarski(E,k1_zf_colla(B,F)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_2_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_2_zf_model(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_zf_model(C)) & A = D & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( E = D => k3_funct_2(k1_zf_lang,C,E,k17_zf_lang(B)) = k3_funct_2(k1_zf_lang,C,E,k18_zf_lang(B)) ) ) ) ) ) )).
fof(fraenkel_a_2_2_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_zmodul02(C,B) ) => ( r2_hidden(A,a_2_2_zmodul02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k4_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_2_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m2_funct_2(C,u1_struct_0(B),k4_numbers,k9_funct_2(u1_struct_0(B),k4_numbers)) ) => ( r2_hidden(A,a_2_2_zmodul03(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k4_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_3_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & m1_trees_4(C,k3_card_3(u3_msualg_1(B,k1_msafree3(B,k28_abcmiz_1(B)))),k34_abcmiz_1(B)) ) => ( r2_hidden(A,a_2_3_abcmiz_1(B,C)) <=> ? [D] : ( m1_abcmiz_1(D,B,k14_abcmiz_1(B)) & A = k45_abcmiz_1(B,D) & r2_tarski(D,k2_relset_1(k3_card_3(u3_msualg_1(B,k1_msafree3(B,k28_abcmiz_1(B)))),C)) ) ) ) )).
fof(fraenkel_a_2_3_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_2_3_afinsq_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(B)) & r2_tarski(D,k2_afinsq_1(k5_afinsq_1(C))) ) ) ) )).
fof(fraenkel_a_2_3_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v6_membered(B) & v1_finset_1(C) & v6_membered(C) ) => ( r2_hidden(A,a_2_3_afinsq_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_xboole_0(B,C)) & A = D & ? [E] : ( v7_ordinal1(E) & D = k1_recdef_1(k2_afinsq_2(k4_afinsq_2(k2_xboole_0(B,C)),k4_card_1(B)),E) & r2_tarski(E,k4_card_1(C)) ) ) ) ) )).
fof(fraenkel_a_2_3_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_amistd_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k4_amistd_1(B))) & A = k7_subset_1(k4_ordinal1,k1_amistd_1(B,k4_amistd_1(B),C,D),k2_amistd_1(B,k4_amistd_1(B),D)) ) ) ) )).
fof(fraenkel_a_2_3_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_3_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,D) & ~ r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_3_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_funct_2(B,k4_ordinal1,k1_numbers) & m1_funct_2(C,k4_ordinal1,k1_numbers) ) => ( r2_hidden(A,a_2_3_asympt_0(B,C)) <=> ? [D] : ( m2_funct_2(D,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = D & ? [E] : ( m2_funct_2(E,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & ? [F] : ( m2_funct_2(F,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & r2_tarski(E,B) & r2_tarski(F,C) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r1_xxreal_0(G,H) => k8_nat_1(k1_numbers,D,H) = k2_power(k8_nat_1(k1_numbers,E,H),k8_nat_1(k1_numbers,F,H)) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_3_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v8_bcialg_1(B) & v2_bcialg_4(B) & v3_bcialg_4(B) & l1_bcialg_4(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_bcialg_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_bcialg_1(B,D,C) ) ) ) )).
fof(fraenkel_a_2_3_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_3_borsuk_3(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,D,E) & r2_tarski(D,u1_pre_topc(B)) & r2_tarski(E,u1_pre_topc(C)) ) ) ) )).
fof(fraenkel_a_2_3_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k5_margrel1))) ) => ( r2_hidden(A,a_2_3_bvfunc_1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k1_funct_1(C,D) = k6_margrel1 ) ) ) )).
fof(fraenkel_a_2_3_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_3_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & 1 = 1 ) ) ) )).
fof(fraenkel_a_2_3_catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_3_catalan2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(k1_catalan2(k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,1,k5_numbers),B),k8_funcop_1(k4_ordinal1,1,1)),C),D))) = D & ~ r1_xxreal_0(D,k5_numbers) ) ) ) )).
fof(fraenkel_a_2_3_cfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_3_cfdiff_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(C,1)),k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_3_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_3_cgames_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(C,B))))) & m1_subset_1(E,k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(C,B))))) & A = g1_cgames_1(D,E) ) ) ) )).
fof(fraenkel_a_2_3_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_zfmisc_1(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_chain_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_numbers) & A = D & r2_hidden(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_3_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( r2_hidden(A,a_2_3_classes1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_classes1(B)) & A = D & ? [E] : ( m1_subset_1(E,k1_classes1(B)) & r2_tarski(E,k2_classes1(B,C)) & r1_tarski(D,E) ) ) ) ) )).
fof(fraenkel_a_2_3_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_3_combgras(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & k1_card_1(D) = B ) ) ) )).
fof(fraenkel_a_2_3_compact1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v8_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_compact1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v3_pre_topc(D,B) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ( r2_hidden(A,a_2_3_compl_sp(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_pcomps_1(B))) & A = k6_domain_1(u1_struct_0(k3_pcomps_1(B)),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_3_compos_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_3_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,u4_struct_0(B)) ) => ( r2_hidden(A,a_2_3_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_conlat_1(B,D,C) ) ) ) )).
fof(fraenkel_a_2_3_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) ) => ( r2_hidden(A,a_2_3_conlat_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u4_struct_0(B))) & A = u3_conlat_1(B,g2_conlat_1(B,D,E)) & r2_tarski(g2_conlat_1(B,D,E),C) ) ) ) )).
fof(fraenkel_a_2_3_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_dualsp02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_normsp_0(B,k5_algstr_0(B,D,C)) & r1_struct_0(k4_normsp_3(B,k6_domain_1(u1_struct_0(B),k4_struct_0(B))),D) ) ) ) )).
fof(fraenkel_a_2_3_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_fcont_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_3_fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_fin_topo(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,C) & r1_xboole_0(k7_subset_1(u1_struct_0(B),k1_fin_topo(B,D),k6_domain_1(u1_struct_0(B),D)),C) ) ) ) )).
fof(fraenkel_a_2_3_finance1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_3_finance1(B,C)) <=> ? [D] : ( m1_random_1(D,B,C) & A = D ) ) ) )).
fof(fraenkel_a_2_3_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,B) => ( r2_hidden(A,a_2_3_finseq_2(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & k3_finseq_1(D) = k3_finseq_1(C) ) ) ) )).
fof(fraenkel_a_2_3_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_finseq_3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & D != C ) ) ) )).
fof(fraenkel_a_2_3_fintopo2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_fintopo2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_fintopo2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,C) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(E,k6_fintopo2(B,D)) & r1_xboole_0(k7_subset_1(u1_struct_0(B),E,k6_domain_1(u1_struct_0(B),D)),C) ) ) ) ) )).
fof(fraenkel_a_2_3_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_funct_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_3_fomodel0(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k10_xtuple_0(D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_frechet,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_frechet(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_metric_1(B,C,k7_xcmplx_0(1,D)) & D != k5_numbers ) ) ) )).
fof(fraenkel_a_2_3_frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_3_frechet2(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,k10_xtuple_0(B)) & ~ r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_3_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m5_margrel1(C,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_2_3_freealg(B,C)) <=> ? [D] : ( m2_finseq_2(D,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = D & k3_finseq_1(D) = k18_margrel1(C) ) ) ) )).
fof(fraenkel_a_2_3_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_3_funct_7(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k2_xcmplx_0(D,B) & r2_tarski(D,a_1_6_funct_7(C)) ) ) ) )).
fof(fraenkel_a_2_3_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_3_goboard2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(B),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_3_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_3_goboard3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(B),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_3_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,C)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_3_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_3_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C),1))) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_3_goboard9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_3_goboard9(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) ) ) ) )).
fof(fraenkel_a_2_3_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_3_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C),1)),D) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_3_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),k1_matrix_0(k2_goboard2(B)))),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(k1_nat_1(C,1),1),k1_matrix_0(k2_goboard2(B))))) ) ) ) )).
fof(fraenkel_a_2_3_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_3_gobrd13(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) ) ) ) )).
fof(fraenkel_a_2_3_goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v1_henmodel(C,B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( r2_hidden(A,a_2_3_goedcpuc(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k6_goedcpuc(B,C,D) ) ) ) )).
fof(fraenkel_a_2_3_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(B))) ) => ( r2_hidden(A,a_2_3_goedelcp(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_qc_lang1(B)) & A = D & ~ r2_tarski(k2_qc_lang3(B,D),C) ) ) ) )).
fof(fraenkel_a_2_3_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_graph_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,k2_xcmplx_0(B,k1_nat_1(C,1))) ) ) ) )).
fof(fraenkel_a_2_3_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & v7_graph_1(C,B) & m2_graph_1(C,B) ) => ( r2_hidden(A,a_2_3_graph_5(B,C)) <=> ? [D] : ( v7_graph_1(D,B) & v1_graph_4(D,B) & m2_graph_1(D,B) & A = D & D != k1_xboole_0 & k1_funct_1(u1_graph_1(B),k1_funct_1(D,1)) = k1_funct_1(u1_graph_1(B),k1_funct_1(C,1)) & k1_funct_1(u2_graph_1(B),k1_funct_1(D,k3_finseq_1(D))) = k1_funct_1(u2_graph_1(B),k1_funct_1(C,k3_finseq_1(C))) & r1_tarski(k10_xtuple_0(D),k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_3_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( r2_hidden(A,a_2_3_graphsp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r2_tarski(D,k4_finseq_1(C)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & k1_funct_1(C,D) != k4_xcmplx_0(1) & k1_funct_1(C,k2_xcmplx_0(B,D)) != k4_xcmplx_0(1) ) ) ) )).
fof(fraenkel_a_2_3_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_3_groeb_1(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = D & ? [E] : ( r2_tarski(E,B) & k3_xboole_0(C,E) = k1_tarski(D) ) ) ) ) )).
fof(fraenkel_a_2_3_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_3_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & k1_card_1(D) = B ) ) ) )).
fof(fraenkel_a_2_3_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_group_3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k4_group_3(B,C,D) = C ) ) ) )).
fof(fraenkel_a_2_3_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_hidden(A,a_2_3_group_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( v15_algstr_0(E) & m1_group_2(E,B) & r2_tarski(E,C) & D = k8_group_2(B,E) ) ) ) ) )).
fof(fraenkel_a_2_3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_3_group_9(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,C) & ~ r1_xxreal_0(D,k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_2_3_int_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_3_int_8(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r1_nat_d(C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_newton(C,B)) ) ) ) )).
fof(fraenkel_a_2_3_jct_misc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(C) & v1_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_2_3_jct_misc(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k9_complex1(k6_xcmplx_0(D,E)) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_3_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_3_jordan(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k6_xcmplx_0(k17_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2))) & ~ r1_xxreal_0(k2_xcmplx_0(k17_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2)),D) ) ) ) )).
fof(fraenkel_a_2_3_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_3_jordan1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,D)),k1_rlvect_1(k15_euclid(2),B,D)) & r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) ) ) ) )).
fof(fraenkel_a_2_3_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_jordan10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = D & r1_jordan2c(2,k3_topreal1(2,k1_jordan9(B,C)),D) ) ) ) )).
fof(fraenkel_a_2_3_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_jordan12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,C)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_3_jordan21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_jordan21(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(B,D) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_3_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_jordan2b(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_3_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) & A = D & ~ r1_xxreal_0(C,k12_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_3_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_jordan5a(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,C)) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),D) ) ) ) )).
fof(fraenkel_a_2_3_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_jordan6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r2_hidden(D,B) & ~ r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_3_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_3_jordan7(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & ( r1_jordan6(B,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),D) | ( r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),B) & D = k18_pscomp_1(B) ) ) ) ) ) )).
fof(fraenkel_a_2_3_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_jordan8(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k3_finseq_1(k1_jordan8(B,C)),1)),D) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,1))) ) ) ) )).
fof(fraenkel_a_2_3_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(C,B) ) => ( r2_hidden(A,a_2_3_jordan_a(B,C)) <=> ? [D] : ? [E] : ( v7_ordinal1(D) & v7_ordinal1(E) & A = k4_jordan1k(2,k2_jordan_a(B,D,C),k2_jordan_a(B,E,C)) & r1_xxreal_0(1,D) & ~ r1_xxreal_0(E,D) & r1_xxreal_0(E,k3_finseq_1(C)) & r1_subset_1(k2_jordan_a(B,D,C),k2_jordan_a(B,E,C)) ) ) ) )).
fof(fraenkel_a_2_3_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v14_quantal1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_3_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_abian(u1_struct_0(B),D,C) ) ) ) )).
fof(fraenkel_a_2_3_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C) ) ) ) )).
fof(fraenkel_a_2_3_lattice4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v20_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_lattice4(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & m1_subset_1(E,k5_finsub_1(u1_struct_0(B))) & A = k3_lattices(B,k1_lattice4(B,D),k2_lattice2(u1_struct_0(B),B,E,k5_lattice4(B))) & r1_tarski(D,C) & r1_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_3_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C) & D != C ) ) ) )).
fof(fraenkel_a_2_3_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & m1_lattice8(C,u1_struct_0(B),B,k16_lattice5(B)) ) => ( r2_hidden(A,a_2_3_lattice8(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k2_zfmisc_1(k1_xfamily(k1_funct_1(C,D)),k1_xfamily(k1_funct_1(C,D))) ) ) ) )).
fof(fraenkel_a_2_3_latticea,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_latticea(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_lattices(B,C,D) = k6_lattices(B) ) ) ) )).
fof(fraenkel_a_2_3_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_3_lfuzzy_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)),a_3_4_lfuzzy_1(B,C,D)) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_3_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_lopclset(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & A = k2_lattice4(B,D) & r1_tarski(D,C) & D != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_3_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_mathmorp(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r2_tarski(D,C) & r2_tarski(E,k6_domain_1(u1_struct_0(B),k4_struct_0(B))) ) ) ) )).
fof(fraenkel_a_2_3_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_measure6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k2_xcmplx_0(k4_xcmplx_0(C),D) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_3_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_membered(C) ) => ( r2_hidden(A,a_2_3_member_1(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k6_xcmplx_0(D,E) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_3_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_3_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k30_mmlquery(B,D) = k2_relset_1(u1_mmlquery(B),C) ) ) ) )).
fof(fraenkel_a_2_3_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) & v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_3_modelc_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k23_modelc_3(B)) & A = D & ~ ( r2_tarski(C,u1_modelc_3(B,k10_modelc_3(D,B))) & ~ r2_tarski(k12_modelc_2(C),u1_modelc_3(B,k10_modelc_3(D,B))) ) ) ) ) )).
fof(fraenkel_a_2_3_moebius1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_moebius1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_xxreal_0(D,k5_numbers) & r1_nat_d(D,k3_nat_d(C,B)) ) ) ) )).
fof(fraenkel_a_2_3_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_3_nat_5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r1_int_2(k1_recdef_1(k14_finseq_1(k3_moebius1(B)),C),D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_recdef_1(k14_finseq_1(k3_moebius1(B)),C)) ) ) ) )).
fof(fraenkel_a_2_3_ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_3_ndiff_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) & A = D & ~ r1_xxreal_0(C,k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),D,B))) ) ) ) )).
fof(fraenkel_a_2_3_ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) & m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) ) => ( r2_hidden(A,a_2_3_ordeq_02(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k3_rlvect_1(k4_real_ns1(1),B,k1_rlvect_1(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),C,B),D)) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(1,D) ) ) ) )).
fof(fraenkel_a_2_3_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_orders_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) => r2_orders_2(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_3_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_classes2(C) ) => ( r2_hidden(A,a_2_3_ordinal6(B,C)) <=> ? [D] : ( m1_subset_1(D,k9_xtuple_0(k1_funct_1(k5_relat_1(k11_ordinal6(C),B),k5_numbers))) & A = D & r2_tarski(D,k9_xtuple_0(k1_funct_1(k5_relat_1(k11_ordinal6(C),B),k5_numbers))) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & v1_ordinal2(E) ) => ( r2_tarski(E,k10_xtuple_0(k5_relat_1(k11_ordinal6(C),B))) => r1_abian(D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_3_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_petri(B,C)) <=> ? [D] : ( m1_petri(D,u1_struct_0(B),u4_struct_0(B),u1_petri(B)) & A = k3_petri(B,D) & r2_tarski(k2_petri(B,D),C) ) ) ) )).
fof(fraenkel_a_2_3_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_3_pre_circ(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ~ r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_3_qc_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k1_qc_lang1(B)) ) => ( r2_hidden(A,a_2_3_qc_lang1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_qc_lang1(B)) & A = D & r2_qc_lang1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_3_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v4_card_3(C) & m1_qc_lang1(C) ) => ( r2_hidden(A,a_2_3_qc_trans(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_qc_lang1(C)) & A = D & k7_qc_lang1(C,D) = B ) ) ) )).
fof(fraenkel_a_2_3_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_quantal1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C) ) ) ) )).
fof(fraenkel_a_2_3_rcomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xxreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_rcomp_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_3_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_2_3_rcomp_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = D & m1_setfam_1(D,u1_struct_0(B)) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_rinfsup1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_2_3_rinfsup1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(C,D) & r1_xxreal_0(k1_nat_1(B,1),D) ) ) ) )).
fof(fraenkel_a_2_3_rinfsup2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_3_rinfsup2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k12_supinf_2(B,D) & r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_3_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_rlaffin1(B,C)) <=> ? [D] : ( v2_convex1(D,B) & m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & r2_tarski(D,k1_convex3(B)) ) ) ) )).
fof(fraenkel_a_2_3_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v3_pre_topc(C,B) & m1_connsp_2(C,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_2_3_rltopsp1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r2_tarski(D,C) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_3_rolle,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_rolle(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),D) ) ) ) )).
fof(fraenkel_a_2_3_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_roughs_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_roughs_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,k6_roughs_1(B,C),D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_3_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v1_yellow_3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k1_xboole_0,C) ) ) ) )).
fof(fraenkel_a_2_3_roughs_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v18_roughs_4(B) & v28_roughs_4(B) & l4_roughs_4(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_3_roughs_4(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B))) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_rusub_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k2_bhsp_1(B,D,C) = k5_numbers ) ) ) )).
fof(fraenkel_a_2_3_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v4_scmyciel(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_3_scmyciel(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,C) & m1_subset_1(E,C) & A = k2_tarski(D,k4_tarski(E,k3_tarski(B))) & r2_tarski(D,k3_tarski(B)) & r2_tarski(E,k3_tarski(B)) ) ) ) )).
fof(fraenkel_a_2_3_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_3_setlim_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_funct_1(C,D) & r1_xxreal_0(k5_numbers,D) ) ) ) )).
fof(fraenkel_a_2_3_sf_mastr,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_sf_mastr(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(D) & r2_tarski(D,k2_relset_1(u1_compos_1(k1_scmfsa_2),k5_compos_1(k1_scmfsa_2,B,C))) ) ) ) )).
fof(fraenkel_a_2_3_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_3_srings_1(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = D ) ) ) )).
fof(fraenkel_a_2_3_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_srings_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,C) & r1_xxreal_0(D,B) ) ) ) )).
fof(fraenkel_a_2_3_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = D & v2_funct_2(D,k5_card_1(B)) & v1_stirl2_1(D,k1_nat_1(C,1),B) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(B),D,k1_seq_4(k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,D,C))) != k1_seq_4(C) ) ) ) )).
fof(fraenkel_a_2_3_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_3_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & D = k1_tops_1(B,k2_pre_topc(B,E)) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_3_tex_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_2_3_tex_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_tarski(C,D) & D != B ) ) ) )).
fof(fraenkel_a_2_3_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v1_tex_4(D,B) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_3_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_3_topdim_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k9_finseq_1(D) & r1_xxreal_0(k3_xxreal_3(C,B),D) & r1_xxreal_0(D,k1_xxreal_3(C,B)) ) ) ) )).
fof(fraenkel_a_2_3_topreal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_topreal1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(k1_nat_1(C,1),2),B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(k1_nat_1(C,1),2),B))) ) ) ) )).
fof(fraenkel_a_2_3_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_3_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_3_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_3_topreal4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1))),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C))) ) ) ) )).
fof(fraenkel_a_2_3_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_3_topreal6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k18_euclid(B),k7_xcmplx_0(C,k3_square_1(2)))) & ~ r1_xxreal_0(k2_xcmplx_0(k18_euclid(B),k7_xcmplx_0(C,k3_square_1(2))),D) ) ) ) )).
fof(fraenkel_a_2_3_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_3_treal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_3_trees_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_trees_1(C) ) => ( r2_hidden(A,a_2_3_trees_9(B,C)) <=> ? [D] : ( m1_trees_1(D,C) & A = k1_trees_2(C,D) & k3_finseq_1(D) = B ) ) ) )).
fof(fraenkel_a_2_3_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_hidden(A,a_2_3_trees_a(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(C)) & A = D & ~ r1_tarski(B,D) ) ) ) )).
fof(fraenkel_a_2_3_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m2_finseq_1(C,u1_struct_0(k13_polynom3(k1_complfld))) ) => ( r2_hidden(A,a_2_3_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,k2_uniroots(B)) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_3_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_3_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_3_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel13(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_orders_2(B,D,C) & v1_waybel_3(D,B) ) ) ) )).
fof(fraenkel_a_2_3_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_waybel15,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v6_waybel_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_3_waybel15(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D),D) ) ) ) )).
fof(fraenkel_a_2_3_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_3_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel18(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(C,D) & v3_pre_topc(D,B) ) ) ) )).
fof(fraenkel_a_2_3_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_yellow_0(C) & l1_orders_2(C) ) => ( r2_hidden(A,a_2_3_waybel19(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(o_2_2_waybel19(B,C))) & A = k3_subset_1(u1_struct_0(o_2_2_waybel19(B,C)),k6_waybel_0(o_2_2_waybel19(B,C),D)) ) ) ) )).
fof(fraenkel_a_2_3_waybel20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v6_waybel_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_3_waybel20(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,D,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_2_3_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_2_3_waybel22(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_waybel23(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_3_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_waybel24(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & m4_yellow_6(C,B) ) => ( r2_hidden(A,a_2_3_waybel28(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,D) => ! [F] : ( ( ~ v2_struct_0(F) & v4_orders_2(F) & v7_waybel_0(F) & l1_waybel_0(F,B) ) => ( r2_hidden(k4_tarski(F,E),C) => r1_waybel_0(B,F,D) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_3_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_3_waybel29(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k3_borsuk_1(C,B,D,E) & r2_tarski(D,u1_pre_topc(C)) & r2_tarski(E,u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_3_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(C,D) & r2_tarski(D,k2_waybel19(B)) ) ) ) )).
fof(fraenkel_a_2_3_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel31(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(B)) & A = D & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_3_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_3_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_5_waybel33(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_3_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_waybel_0(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k2_yellow_0(B,D) & r2_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_3_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k3_yellow_3(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) ) => ( r2_hidden(A,a_2_3_waybel_2(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k4_yellow_4(B,k6_domain_1(u1_struct_0(B),E),k5_yellow_3(B,B,C)) & r2_tarski(E,k4_yellow_3(B,B,C)) ) ) ) ) )).
fof(fraenkel_a_2_3_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_3_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_waybel_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k12_lattice3(B,C,D) & r2_tarski(D,k2_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_3_weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_3_weddwitt(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k6_algstr_0(B,D,C) = k6_algstr_0(B,C,D) ) ) ) )).
fof(fraenkel_a_2_3_xxreal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xxreal_0(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_3_xxreal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_3_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_3_yellow12(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C))))) & A = k5_setfam_1(u1_struct_0(k2_borsuk_1(B,C)),D) & r1_tarski(D,a_2_4_yellow12(B,C)) ) ) ) )).
fof(fraenkel_a_2_3_yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_yellow15(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_3_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_2_3_yellow_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_lattice3(B,C,D) ) ) ) )).
fof(fraenkel_a_2_3_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_3_yellow_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_subset_1(u1_struct_0(B),k6_waybel_0(B,D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_3_zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) ) => ( r2_hidden(A,a_2_3_zf_colla(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & ! [E] : ( m1_subset_1(E,B) => ~ ( r2_tarski(E,D) & ! [F] : ( v3_ordinal1(F) => ~ ( r2_tarski(F,k9_xtuple_0(C)) & r2_tarski(E,k3_tarski(k1_tarski(k1_funct_1(C,F)))) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_3_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_2_3_zf_fund1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,B) & A = k5_classes2(B,k6_classes2(B,k2_ordinal4(B),D),k6_classes2(B,k3_ordinal4(B),E)) & r2_tarski(D,E) & r2_tarski(D,k1_classes2(B,C)) & r2_tarski(E,k1_classes2(B,C)) ) ) ) )).
fof(fraenkel_a_2_3_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_3_zf_model(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_zf_model(C)) & A = D & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( E = D => r2_tarski(k3_funct_2(k1_zf_lang,C,E,k17_zf_lang(B)),k3_funct_2(k1_zf_lang,C,E,k18_zf_lang(B))) ) ) ) ) ) )).
fof(fraenkel_a_2_3_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & v1_zmodul03(C) & l1_zmodul01(C) ) => ( r2_hidden(A,a_2_3_zmodul03(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k1_zmodul01(C,D,B) ) ) ) )).
fof(fraenkel_a_2_3_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & v1_zmodul03(C) & l1_zmodul01(C) ) => ( r2_hidden(A,a_2_3_zmodul04(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k13_zmodul02(B,C,D) & r2_tarski(D,o_1_1_zmodul04(C)) ) ) ) )).
fof(fraenkel_a_2_4_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & m1_trees_4(C,k3_card_3(u3_msualg_1(B,k1_msafree3(B,k28_abcmiz_1(B)))),k34_abcmiz_1(B)) ) => ( r2_hidden(A,a_2_4_abcmiz_1(B,C)) <=> ? [D] : ( m1_abcmiz_1(D,B,k14_abcmiz_1(B)) & A = k46_abcmiz_1(B,D) & r2_tarski(D,k2_relset_1(k3_card_3(u3_msualg_1(B,k1_msafree3(B,k28_abcmiz_1(B)))),C)) ) ) ) )).
fof(fraenkel_a_2_4_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) => ( r2_hidden(A,a_2_4_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & r4_armstrng(B,C,E,D) ) ) ) ) )).
fof(fraenkel_a_2_4_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k2_arytm_2) & m1_subset_1(C,k2_arytm_2) ) => ( r2_hidden(A,a_2_4_arytm_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_arytm_3) & m1_subset_1(E,k5_arytm_3) & A = k10_arytm_3(D,E) & r2_tarski(D,k3_arytm_2(B)) & r2_tarski(E,k3_arytm_2(C)) ) ) ) )).
fof(fraenkel_a_2_4_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_2_4_asympt_0(B,C)) <=> ? [D] : ( m2_funct_2(D,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = D & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(F,k5_numbers) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r1_xxreal_0(G,H) => ( r1_xxreal_0(k3_xcmplx_0(F,k8_nat_1(k1_numbers,k5_asympt_0(B,C),H)),k8_nat_1(k1_numbers,D,H)) & r1_xxreal_0(k8_nat_1(k1_numbers,D,H),k3_xcmplx_0(E,k8_nat_1(k1_numbers,k5_asympt_0(B,C),H))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_4_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v16_waybel_0(B) & l1_orders_2(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_4_bagorder(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & m1_subset_1(E,k5_finsub_1(u1_struct_0(B))) & A = k1_domain_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B)),D,E) & D != k1_xboole_0 & E != k1_xboole_0 & k11_bagorder(B,D) = k11_bagorder(B,E) & r2_tarski(k1_domain_1(k1_zfmisc_1(D),k1_zfmisc_1(E),k6_subset_1(D,k6_domain_1(u1_struct_0(B),k11_bagorder(B,D))),k6_subset_1(E,k6_domain_1(u1_struct_0(B),k11_bagorder(B,E)))),k1_funct_1(k12_bagorder(B),k6_xcmplx_0(C,1))) ) ) ) )).
fof(fraenkel_a_2_4_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_4_borsuk_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C))))) & A = k5_setfam_1(u1_struct_0(k2_borsuk_1(B,C)),D) & r1_tarski(D,a_2_0_borsuk_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_4_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_4_borsuk_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C))))) & A = k5_setfam_1(u1_struct_0(k2_borsuk_1(B,C)),D) & r1_tarski(D,a_2_3_borsuk_3(B,C)) ) ) ) )).
fof(fraenkel_a_2_4_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_card_fil(C,B) ) => ( r2_hidden(A,a_2_4_card_fil(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & A = D & r1_tarski(C,D) & m1_card_fil(D,B) ) ) ) )).
fof(fraenkel_a_2_4_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_4_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & v2_funct_1(D) & r1_tarski(k2_relset_1(C,k2_partfun1(B,C,D,B)),C) ) ) ) )).
fof(fraenkel_a_2_4_catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_catalan2(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_catalan2(k4_ordinal1)) & A = D & r2_tarski(D,k2_catalan2(B,C)) & a_1_4_catalan2(D) = k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_4_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_cc0sp2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_4_cfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_cfdiff_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(C,1)),k9_complex1(k6_xcmplx_0(D,B))) ) ) ) )).
fof(fraenkel_a_2_4_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( r2_hidden(A,a_2_4_classes1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_classes1(B)) & A = k9_setfam_1(D) & r2_tarski(D,k2_classes1(B,C)) ) ) ) )).
fof(fraenkel_a_2_4_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_4_combgras(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & k1_card_1(D) = k1_nat_1(B,1) ) ) ) )).
fof(fraenkel_a_2_4_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B))))) ) => ( r2_hidden(A,a_2_4_compl_sp(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & A = k1_setfam_1(D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_4_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_hidden(A,a_2_4_compos_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_nat_1(D,k4_card_1(C)) & r2_tarski(D,k2_afinsq_1(k4_compos_1(B))) ) ) ) )).
fof(fraenkel_a_2_4_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & v3_conlat_1(C,B) & ~ v4_conlat_1(C,B) & v6_conlat_1(C,B) & l2_conlat_1(C,B) ) => ( r2_hidden(A,a_2_4_conlat_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u4_struct_0(B))) & A = g2_conlat_1(B,D,E) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,u2_conlat_1(B,C)) & D = k3_funct_2(k9_setfam_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),k6_domain_1(u1_struct_0(B),F))) & E = k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),k6_domain_1(u1_struct_0(B),F)) ) ) ) ) )).
fof(fraenkel_a_2_4_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_4_dickson(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),C) & A = o_3_2_dickson(B,C,D) ) ) ) )).
fof(fraenkel_a_2_4_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k17_dualsp01(B)),k1_numbers) & v2_hahnban(C,k17_dualsp01(B)) & v3_hahnban(C,k17_dualsp01(B)) & v1_dualsp01(C,k17_dualsp01(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_dualsp01(B)),k1_numbers))) ) => ( r2_hidden(A,a_2_4_dualsp02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k17_dualsp01(B))) & A = k9_complex1(k3_funct_2(u1_struct_0(k17_dualsp01(B)),k1_numbers,C,D)) & r1_xxreal_0(k2_normsp_0(k17_dualsp01(B),D),1) ) ) ) )).
fof(fraenkel_a_2_4_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_2_4_euclid_7(B,C)) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) & A = D & ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(1,E) & r1_xxreal_0(E,B) & D = k6_euclid_7(B,E) & k22_rvsum_1(C,D) != k5_numbers ) ) ) ) )).
fof(fraenkel_a_2_4_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_4_fcont_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,k6_xcmplx_0(B,C))) & ~ r1_xxreal_0(k2_xcmplx_0(B,k6_xcmplx_0(B,C)),D) ) ) ) )).
fof(fraenkel_a_2_4_fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_fin_topo(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r2_tarski(E,C) & r2_tarski(D,k1_fin_topo(B,E)) ) ) ) ) )).
fof(fraenkel_a_2_4_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_finseq_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_finseq_2(B)) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_4_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_funct_1(B) & v4_funct_1(C) ) => ( r2_hidden(A,a_2_4_fomodel0(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_xboole_0(B,C)) & A = k10_xtuple_0(D) & r2_tarski(D,k2_xboole_0(B,C)) ) ) ) )).
fof(fraenkel_a_2_4_freealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v2_relat_1(B) & m2_finseq_1(B,k4_ordinal1) & v1_freealg(C) ) => ( r2_hidden(A,a_2_4_freealg(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_freealg(B,C))) & A = D & ? [E] : ( m5_margrel1(E,u1_struct_0(k15_freealg(B,C)),k1_unialg_2(k15_freealg(B,C))) & k18_margrel1(E) = k5_numbers & r2_tarski(D,k10_xtuple_0(E)) ) ) ) ) )).
fof(fraenkel_a_2_4_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_4_funct_7(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,k1_relset_1(k4_ordinal1,C)) ) ) ) )).
fof(fraenkel_a_2_4_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_4_goboard2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_4_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_4_goboard3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_4_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,C)),E) ) ) ) )).
fof(fraenkel_a_2_4_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_4_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1)),E) ) ) ) )).
fof(fraenkel_a_2_4_goboard9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_4_goboard9(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) ) ) ) )).
fof(fraenkel_a_2_4_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_4_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,1))) ) ) ) )).
fof(fraenkel_a_2_4_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,k1_matrix_0(k2_goboard2(B)))),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),k1_matrix_0(k2_goboard2(B))))) ) ) ) )).
fof(fraenkel_a_2_4_goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_4_goedcpuc(B,C)) <=> ? [D] : ? [E] : ( v7_ordinal1(D) & m1_subset_1(E,k1_qc_lang1(k5_goedcpuc(B,C))) & A = k4_tarski(D,E) & r1_xxreal_0(7,D) ) ) ) )).
fof(fraenkel_a_2_4_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) ) => ( r2_hidden(A,a_2_4_goedelcp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),C,D)) ) ) ) )).
fof(fraenkel_a_2_4_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_graph_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(D,k2_xcmplx_0(B,C)) ) ) ) )).
fof(fraenkel_a_2_4_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_graph_5(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_4_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( r2_hidden(A,a_2_4_graphsp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r2_tarski(D,k4_finseq_1(C)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & k1_funct_1(C,D) = k4_xcmplx_0(1) ) ) ) )).
fof(fraenkel_a_2_4_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_4_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_zfmisc_1(u1_struct_0(B),k6_domain_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_4_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_4_group_9(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,C) & ~ r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_4_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_group_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_4_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_4_jordan(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,k6_xcmplx_0(k18_euclid(k1_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2))) & ~ r1_xxreal_0(k2_xcmplx_0(k18_euclid(k1_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2)),E) ) ) ) )).
fof(fraenkel_a_2_4_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_jordan1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k19_euclid(B,D) & r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_4_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_jordan12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1)),D) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_matrix_0(k2_goboard2(B))))) ) ) ) )).
fof(fraenkel_a_2_4_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_4_jordan2b(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_4_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(C))) & A = D & ~ r1_xxreal_0(B,k12_euclid(D)) ) ) ) )).
fof(fraenkel_a_2_4_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_jordan5a(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) )).
fof(fraenkel_a_2_4_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k7_metric_1)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_jordan6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k7_metric_1,B,D)) ) ) ) )).
fof(fraenkel_a_2_4_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_jordan8(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,1))) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,1))) ) ) ) )).
fof(fraenkel_a_2_4_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_4_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)),g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))))))) & A = k3_tarski(D) & r1_tarski(D,a_2_5_jordan_a(B,C)) ) ) ) )).
fof(fraenkel_a_2_4_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),k9_setfam_1(B)) & v6_cohsp_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_4_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r1_tarski(k1_funct_1(C,D),D) ) ) ) )).
fof(fraenkel_a_2_4_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D) ) ) ) )).
fof(fraenkel_a_2_4_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_lattice6(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D) & D != C ) ) ) )).
fof(fraenkel_a_2_4_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_4_lfuzzy_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),D),k5_lfuzzy_0(k2_zfmisc_1(B,B),E)) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) & r2_tarski(E,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_4_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_lopclset(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r2_tarski(E,a_2_3_lopclset(B,C)) & r3_lattices(B,E,D) ) ) ) ) )).
fof(fraenkel_a_2_4_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( r2_hidden(A,a_2_4_matrix_0(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = k10_xtuple_0(D) & r2_tarski(D,k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_4_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_measure6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k2_xcmplx_0(C,D) & r2_hidden(D,k1_measure6(B,k4_xcmplx_0(C))) ) ) ) )).
fof(fraenkel_a_2_4_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v2_membered(C) ) => ( r2_hidden(A,a_2_4_member_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k6_numbers) & m1_subset_1(E,k6_numbers) & A = k3_member_1(D,E) & r2_tarski(D,B) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_4_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_4_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k31_mmlquery(B,D) & r2_tarski(D,k2_relset_1(u1_mmlquery(B),C)) ) ) ) )).
fof(fraenkel_a_2_4_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & m1_trees_1(C,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_2_4_modal_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)) & r2_tarski(k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)),k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_2_4_moebius1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_4_moebius1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_xxreal_0(D,k5_numbers) & r1_nat_d(D,k6_moebius1(B)) & r1_nat_d(C,D) ) ) ) )).
fof(fraenkel_a_2_4_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_4_mycielsk(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_xboole_0(D,k8_relat_1(B,k1_tarski(D))) ) ) ) )).
fof(fraenkel_a_2_4_nat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_4_nat_4(B,C)) <=> ? [D] : ( v1_int_2(D) & m1_subset_1(D,k4_ordinal1) & A = k11_newton(D,k11_nat_3(C,D)) & r1_xxreal_0(D,k3_square_1(k2_nat_1(2,B))) & ~ r1_xxreal_0(k11_nat_3(C,D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_4_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_4_nat_5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k2_finseq_1(B)) & r2_tarski(k1_recdef_1(k14_finseq_1(k3_moebius1(B)),C),k3_moebius1(B)) & E = k1_recdef_1(k14_finseq_1(k3_moebius1(B)),C) & k6_nat_d(D,B) = k7_xcmplx_0(B,E) ) ) ) ) )).
fof(fraenkel_a_2_4_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v1_lattice2(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_openlatt(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,k7_openlatt(B)) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_4_ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) & m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) ) => ( r2_hidden(A,a_2_4_ordeq_02(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k3_rlvect_1(k4_real_ns1(1),k1_rlvect_1(k4_real_ns1(1),B,k6_xcmplx_0(1,D)),k1_rlvect_1(k4_real_ns1(1),C,D)) & r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) ) ) ) )).
fof(fraenkel_a_2_4_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_4_petri(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_petri(E,u1_struct_0(B),u4_struct_0(B),u1_petri(B)) & ? [F] : ( m1_subset_1(F,u4_struct_0(B)) & r2_tarski(F,C) & E = k1_domain_1(u1_struct_0(B),u4_struct_0(B),D,F) ) ) ) ) ) )).
fof(fraenkel_a_2_4_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(B) & v5_algstr_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v1_vectsp_2(B) & v1_algstr_1(B) & l6_algstr_0(B) & m2_finseq_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_polynom7(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_4_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) ) => ( r2_hidden(A,a_2_4_pre_circ(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_4_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) ) => ( r2_hidden(A,a_2_4_quantal1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_algstr_0(B,k16_lattice3(B,a_2_0_quantal1(B,C)),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_4_rcomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_rcomp_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k1_seq_2(B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k1_seq_2(B),C),D) ) ) ) )).
fof(fraenkel_a_2_4_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_4_rcomp_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = D & r2_tarski(D,k9_setfam_1(C)) ) ) ) )).
fof(fraenkel_a_2_4_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_rlaffin1(B,C)) <=> ? [D] : ( m2_rlvect_2(D,B,k3_convex1(B,C)) & A = k6_rlvect_2(B,D) & k3_rlaffin1(B,D) = 1 ) ) ) )).
fof(fraenkel_a_2_4_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_4_rltopsp1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & v3_pre_topc(E,B) & m1_connsp_2(E,B,k4_struct_0(B)) & A = k5_rusub_4(B,E,D) & r2_tarski(k1_domain_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B)),D,E),k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_4_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlvect_2(C,B) ) => ( r2_hidden(A,a_2_4_rlvect_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k1_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_4_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_roughs_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_roughs_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,k6_roughs_1(B,C),D),k5_numbers) & ~ r1_xxreal_0(1,k3_funct_2(u1_struct_0(B),k1_numbers,k6_roughs_1(B,C),D)) ) ) ) )).
fof(fraenkel_a_2_4_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v1_yellow_3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k9_relat_1(k1_xboole_0,D),C) ) ) ) )).
fof(fraenkel_a_2_4_roughs_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v18_roughs_4(B) & v28_roughs_4(B) & l4_roughs_4(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_4_roughs_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k9_setfam_1(u1_struct_0(B))) & A = k3_funct_2(k9_setfam_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)),u1_roughs_4(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_4_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_rusub_5(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,D,E) & r2_tarski(D,C) & r2_tarski(E,k6_domain_1(u1_struct_0(B),k4_struct_0(B))) ) ) ) )).
fof(fraenkel_a_2_4_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_scmyciel(B) & v11_scmyciel(B) ) => ( r2_hidden(A,a_2_4_scmyciel(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_tarski(B)) & A = k4_tarski(D,k3_tarski(B)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_4_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_2_4_srings_1(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = D ) ) ) )).
fof(fraenkel_a_2_4_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(C),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(C),k5_card_1(B)))) & A = D & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( k5_card_1(E) = k5_card_1(C) & k5_card_1(F) = k5_card_1(B) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k5_card_1(E),k5_card_1(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(E),k5_card_1(F)))) ) => ~ ( G = D & v2_funct_2(G,k5_card_1(F)) & v1_stirl2_1(G,E,F) & ( ~ r1_xxreal_0(E,C) => k1_stirl2_1(E,k5_card_1(F),G,k1_seq_4(k2_stirl2_1(k5_card_1(E),F,G,C))) = k1_seq_4(C) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_4_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_4_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & D = k2_pre_topc(B,k1_tops_1(B,k2_pre_topc(B,E))) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_4_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v3_pre_topc(D,B) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_4_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_topdim_2(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k9_finseq_1(D) & ~ r1_xxreal_0(D,k3_xxreal_3(C,B)) & ~ r1_xxreal_0(k1_xxreal_3(C,B),D) ) ) ) )).
fof(fraenkel_a_2_4_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_4_topgen_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = D & r1_tarski(C,D) & v1_prob_1(D,u1_struct_0(B)) & v1_topgen_4(D,B) & v3_topgen_4(D,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) ) ) )).
fof(fraenkel_a_2_4_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_2_4_topreal3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(B,C,D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_4_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_4_topreal4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)) & r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_4_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_4_topreal6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,B),C),D) ) ) ) )).
fof(fraenkel_a_2_4_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_hidden(A,a_2_4_trees_a(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(C)) & A = k8_finseq_1(k4_ordinal1,B,D) ) ) ) )).
fof(fraenkel_a_2_4_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_complfld))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_4_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,B) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),C) ) ) ) )).
fof(fraenkel_a_2_4_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r1_tarski(k2_waybel_3(B,D),C) ) ) ) )).
fof(fraenkel_a_2_4_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & v2_yellow_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_4_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(C,D) & r2_tarski(D,k5_waybel11(B)) ) ) ) )).
fof(fraenkel_a_2_4_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_4_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) & v2_pre_topc(C) & v1_waybel19(C) & m1_yellow_9(C,B) ) => ( r2_hidden(A,a_2_4_waybel19(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k3_subset_1(u1_struct_0(C),k6_waybel_0(C,D)) ) ) ) )).
fof(fraenkel_a_2_4_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_4_waybel21(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) & r1_orders_2(C,o_2_3_waybel21(B,C),D) ) ) ) )).
fof(fraenkel_a_2_4_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( r2_hidden(A,a_2_4_waybel22(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_yellow_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_4_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_waybel23(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_4_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_waybel24(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_4_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_4_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(C,D) & r2_tarski(D,k2_waybel19(B)) ) ) ) )).
fof(fraenkel_a_2_4_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ( r2_hidden(A,a_2_4_waybel31(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & r2_hidden(C,D) ) ) ) )).
fof(fraenkel_a_2_4_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_4_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) & r1_orders_2(C,o_2_3_waybel32(B,C),D) ) ) ) )).
fof(fraenkel_a_2_4_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_subset_1(C,u1_struct_0(k2_yellow_1(k2_struct_0(B)))) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_4_waybel33(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m2_subset_1(E,u1_struct_0(k2_yellow_1(k2_struct_0(B))),C) & A = k1_domain_1(u1_struct_0(B),C,D,E) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_4_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_waybel_6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_4_waybel_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v2_waybel_8(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v7_waybel_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_4_waybel_8(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & D = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) ) ) ) )).
fof(fraenkel_a_2_4_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_4_yellow12(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,D,E) & r2_tarski(D,u1_pre_topc(B)) & r2_tarski(E,u1_pre_topc(C)) ) ) ) )).
fof(fraenkel_a_2_4_yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_yellow15(B,C)) <=> ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & A = k1_yellow_0(B,D) & r1_yellow_0(B,D) ) ) ) )).
fof(fraenkel_a_2_4_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_yellow_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_4_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_yellow_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_4_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_4_zf_model(B,C)) <=> ? [D] : ( m1_subset_1(D,k3_zf_model(C)) & A = D & ! [E] : ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( ( E = k4_zf_model(k23_zf_lang(B),C) & F = D ) => ( r2_tarski(F,E) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_zf_lang,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( ! [H] : ( m2_subset_1(H,k4_ordinal1,k1_zf_lang) => ( k3_funct_2(k1_zf_lang,C,G,H) != k3_funct_2(k1_zf_lang,C,F,H) => k22_zf_lang(B) = H ) ) => r2_tarski(G,E) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_4_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_zmodul02(B,C)) <=> ? [D] : ( m2_zmodul02(D,B,C) & A = k21_zmodul02(B,D) ) ) ) )).
fof(fraenkel_a_2_4_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & v1_zmodul03(C) & v2_zmodul03(C) & l1_zmodul01(C) ) => ( r2_hidden(A,a_2_4_zmodul03(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k13_zmodul02(B,C,D) & r2_tarski(D,o_1_3_zmodul03(C)) ) ) ) )).
fof(fraenkel_a_2_4_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & v3_zmodul03(B) & l1_zmodul01(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_4_zmodul04(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k13_zmodul02(o_0_0_zmodul04,B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(B))) ) => ( r2_hidden(A,a_2_5_abcmiz_1(B,C)) <=> ? [D] : ( v8_abcmiz_1(D,B) & m1_abcmiz_1(D,B,k13_abcmiz_1(B)) & A = k45_abcmiz_1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & v12_aofa_000(B) & l1_unialg_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_aofa_000(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(E,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,D),E) & r2_tarski(E,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,D))) & r1_tarski(k2_relset_1(u1_struct_0(B),E),k9_aofa_000(B,k18_aofa_000(B),C)) ) ) ) )).
fof(fraenkel_a_2_5_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_5_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ! [F] : ( ( r2_tarski(F,C) & r1_tarski(D,F) ) => r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_2_5_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k2_arytm_2) & m1_subset_1(C,k2_arytm_2) ) => ( r2_hidden(A,a_2_5_arytm_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_arytm_3) & m1_subset_1(E,k5_arytm_3) & A = k9_arytm_3(D,E) & r2_tarski(D,k3_arytm_2(B)) & r2_tarski(E,k3_arytm_2(C)) ) ) ) )).
fof(fraenkel_a_2_5_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_hidden(A,a_2_5_asympt_0(B,C)) <=> ? [D] : ( m2_funct_2(D,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & A = D & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(F,k5_numbers) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r1_xxreal_0(G,H) => ( r1_xxreal_0(k3_xcmplx_0(F,k8_nat_1(k1_numbers,k1_asympt_0(B,C),H)),k8_nat_1(k1_numbers,D,H)) & r1_xxreal_0(k8_nat_1(k1_numbers,D,H),k3_xcmplx_0(E,k8_nat_1(k1_numbers,k1_asympt_0(B,C),H))) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_5_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v16_waybel_0(B) & l1_orders_2(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_bagorder(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & m1_subset_1(E,k5_finsub_1(u1_struct_0(B))) & A = k1_domain_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B)),D,E) & D != k1_xboole_0 & E != k1_xboole_0 & k11_bagorder(B,D) = k11_bagorder(B,E) & r2_tarski(k1_domain_1(k1_zfmisc_1(D),k1_zfmisc_1(E),k6_subset_1(D,k6_domain_1(u1_struct_0(B),k11_bagorder(B,D))),k6_subset_1(E,k6_domain_1(u1_struct_0(B),k11_bagorder(B,E)))),k8_nat_1(k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B)))),k12_bagorder(B),C)) ) ) ) )).
fof(fraenkel_a_2_5_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_5_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & v2_funct_1(D) & r1_tarski(k10_xtuple_0(k5_relat_1(D,B)),C) ) ) ) )).
fof(fraenkel_a_2_5_cfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_5_cfdiff_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = D & ~ r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(D,k3_comseq_2(B)))) ) ) ) )).
fof(fraenkel_a_2_5_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_cgames_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_5_cgames_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k7_cgames_1(B)) & A = k1_funct_1(k5_relat_1(C,k11_cgames_1(B)),D) & k7_cgames_1(B) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_5_combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_5_combgras(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & k1_card_1(D) = k1_nat_1(k1_nat_1(B,1),1) ) ) ) )).
fof(fraenkel_a_2_5_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_5_compl_sp(B,C)) <=> ? [D] : ( m1_subset_1(D,k9_setfam_1(u1_struct_0(B))) & A = k1_setfam_1(D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_5_compos_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_hidden(D,k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_2_5_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & v3_conlat_1(C,B) & ~ v4_conlat_1(C,B) & v6_conlat_1(C,B) & l2_conlat_1(C,B) ) => ( r2_hidden(A,a_2_5_conlat_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u4_struct_0(B))) & A = g2_conlat_1(B,D,E) & ? [F] : ( m1_subset_1(F,u4_struct_0(B)) & r2_tarski(F,u3_conlat_1(B,C)) & D = k3_funct_2(k1_zfmisc_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),k6_domain_1(u4_struct_0(B),F)) & E = k3_funct_2(k9_setfam_1(u1_struct_0(B)),k9_setfam_1(u4_struct_0(B)),k1_conlat_1(B),k3_funct_2(k1_zfmisc_1(u4_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k2_conlat_1(B),k6_domain_1(u4_struct_0(B),F))) ) ) ) ) )).
fof(fraenkel_a_2_5_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_clvect_1(B) & m1_convex4(C,B) ) => ( r2_hidden(A,a_2_5_convex4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k2_numbers,C,D) != k5_complex1 ) ) ) )).
fof(fraenkel_a_2_5_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k16_lopban_1(B,k3_dualsp02))) ) => ( r2_hidden(A,a_2_5_dualsp02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_normsp_0(k3_dualsp02,k17_lopban_1(B,k3_dualsp02,C,D)) & r1_xxreal_0(k2_normsp_0(B,D),1) ) ) ) )).
fof(fraenkel_a_2_5_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & m1_rlvect_2(C,k7_real_ns1(B)) ) => ( r2_hidden(A,a_2_5_euclid_7(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_real_ns1(B))) & A = D & k3_funct_2(u1_struct_0(k7_real_ns1(B)),k1_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_5_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ( r2_hidden(A,a_2_5_finseq_3(B,C)) <=> ? [D] : ( m2_finseq_2(D,B,k3_finseq_2(B)) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_5_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_5_goboard2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(B),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_5_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_5_goboard3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(B) & r1_xxreal_0(k17_euclid(B),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_5_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_5_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_5_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_matrix_0(C)))) ) ) ) )).
fof(fraenkel_a_2_5_goboard9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_5_goboard9(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D) ) ) ) )).
fof(fraenkel_a_2_5_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_5_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_matrix_0(C))),E) ) ) ) )).
fof(fraenkel_a_2_5_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),k1_matrix_0(k2_goboard2(B)))),D) ) ) ) )).
fof(fraenkel_a_2_5_goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v1_henmodel(C,B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( r2_hidden(A,a_2_5_goedcpuc(B,C)) <=> ? [D] : ( v1_henmodel(D,B) & m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(B))) & A = D & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_5_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) ) => ( r2_hidden(A,a_2_5_goedelcp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k1_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),C,D)) & r2_tarski(D,k5_numbers) ) ) ) )).
fof(fraenkel_a_2_5_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_graph_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(B,D) & r1_xxreal_0(D,k1_nat_1(B,k1_nat_1(C,1))) ) ) ) )).
fof(fraenkel_a_2_5_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & v7_graph_1(C,B) & m2_graph_1(C,B) ) => ( r2_hidden(A,a_2_5_graph_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(C)) & r2_tarski(D,k1_graph_5(B,k7_partfun1(u4_struct_0(B),C,E))) ) ) ) ) )).
fof(fraenkel_a_2_5_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( r2_hidden(A,a_2_5_graphsp(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r2_tarski(D,k4_finseq_1(C)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & k1_funct_1(C,D) != k4_xcmplx_0(1) ) ) ) )).
fof(fraenkel_a_2_5_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_5_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(B)),k6_domain_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_5_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_5_ideal_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k8_group_1(B,C,D) ) ) ) )).
fof(fraenkel_a_2_5_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2)))) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_5_jordan(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,k6_xcmplx_0(k18_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2))) & ~ r1_xxreal_0(k2_xcmplx_0(k18_euclid(k2_jordan(k15_euclid(2),k15_euclid(2),B)),k7_xcmplx_0(C,2)),E) ) ) ) )).
fof(fraenkel_a_2_5_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_jordan12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B)),1))) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,C))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(C,1))),E) ) ) ) )).
fof(fraenkel_a_2_5_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_5_jordan2b(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = k9_finseq_1(D) & ~ r1_xxreal_0(D,k6_xcmplx_0(C,B)) & ~ r1_xxreal_0(k2_xcmplx_0(C,B),D) ) ) ) )).
fof(fraenkel_a_2_5_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_5_jordan2c(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) & A = D & k12_euclid(D) = C ) ) ) )).
fof(fraenkel_a_2_5_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_5_jordan_a(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))))) & A = k3_borsuk_1(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)),g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)),D,E) & r2_tarski(D,u1_pre_topc(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))) & r2_tarski(E,u1_pre_topc(g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)))) ) ) ) )).
fof(fraenkel_a_2_5_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),k9_setfam_1(B)) & v6_cohsp_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_2_5_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r1_tarski(D,k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_2_5_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_2_5_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r3_lattices(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_5_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v2_lattice6(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_5_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C) & D != C ) ) ) )).
fof(fraenkel_a_2_5_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_5_lfuzzy_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k6_lfuzzy_0(k2_zfmisc_1(B,B),k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),D),k5_lfuzzy_0(k2_zfmisc_1(B,B),E))) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) & r2_tarski(E,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_5_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v3_pencil_1(B) & v1_matroid0(B) & v2_matroid0(B) & v4_matroid0(B) & l1_pre_topc(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_matroid0(B,C)) <=> ? [D] : ( v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k4_card_1(D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_membered(C) ) => ( r2_hidden(A,a_2_5_member_1(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k3_xcmplx_0(D,E) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_5_moebius1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_5_moebius1(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ~ r1_xxreal_0(D,k5_numbers) & r1_nat_d(D,k6_moebius1(B)) & ~ r1_nat_d(C,D) ) ) ) )).
fof(fraenkel_a_2_5_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(B) => ( r2_hidden(A,a_2_5_mycielsk(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k2_xcmplx_0(D,B) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_nat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_5_nat_4(B,C)) <=> ? [D] : ( v1_int_2(D) & m1_subset_1(D,k4_ordinal1) & A = k11_newton(D,k11_nat_3(C,D)) & ~ r1_xxreal_0(D,k3_square_1(k2_nat_1(2,B))) & r1_xxreal_0(D,k7_xcmplx_0(k2_nat_1(2,B),3)) & ~ r1_xxreal_0(k11_nat_3(C,D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_5_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_5_nat_5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k2_finseq_1(B)) & r2_tarski(C,k3_moebius1(B)) & E = C & k6_nat_d(D,B) = k7_xcmplx_0(B,E) ) ) ) ) )).
fof(fraenkel_a_2_5_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m2_orders_2(C,B,o_1_1_orders_2(B)) ) => ( r2_hidden(A,a_2_5_orders_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r2_orders_2(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_5_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_5_petri(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_petri(E,u4_struct_0(B),u1_struct_0(B),u2_petri(B)) & ? [F] : ( m1_subset_1(F,u4_struct_0(B)) & r2_tarski(F,C) & E = k1_domain_1(u4_struct_0(B),u1_struct_0(B),F,D) ) ) ) ) ) )).
fof(fraenkel_a_2_5_polynom7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(B) & v5_algstr_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & v1_algstr_1(B) & l6_algstr_0(B) & m2_finseq_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_5_polynom7(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_5_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) ) => ( r2_hidden(A,a_2_5_quantal1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k5_quantal1(B,D) & r2_tarski(D,a_2_0_quantal1(B,C)) ) ) ) )).
fof(fraenkel_a_2_5_rcomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_5_rcomp_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k2_seq_4(B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k2_seq_4(B),C),D) ) ) ) )).
fof(fraenkel_a_2_5_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_rlaffin1(B,C)) <=> ? [D] : ( m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & k3_rlaffin1(B,D) = 1 ) ) ) )).
fof(fraenkel_a_2_5_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_rlaffin2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_rlaffin2(B,D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v1_yellow_3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k1_xboole_0,C) ) ) ) )).
fof(fraenkel_a_2_5_roughs_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v18_roughs_4(B) & v28_roughs_4(B) & l4_roughs_4(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_5_roughs_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k9_setfam_1(u1_struct_0(B))) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_rusub_5(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k5_algstr_0(B,D,E) & r2_tarski(D,C) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_5_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_xboole_0(k5_card_1(C),k1_seq_4(C)),k2_xboole_0(k5_card_1(B),k1_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k5_card_1(C),k1_seq_4(C)),k2_xboole_0(k5_card_1(B),k1_seq_4(B))))) & A = D & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( k5_card_1(E) = k2_xboole_0(k5_card_1(C),k1_seq_4(C)) & k5_card_1(F) = k2_xboole_0(k5_card_1(B),k1_seq_4(B)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k5_card_1(E),k5_card_1(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(E),k5_card_1(F)))) ) => ~ ( G = D & v2_funct_2(G,k5_card_1(F)) & v1_stirl2_1(G,E,F) & ( ~ r1_xxreal_0(E,C) => k1_stirl2_1(E,k5_card_1(F),G,k1_seq_4(k2_stirl2_1(k5_card_1(E),F,G,C))) = k1_seq_4(C) ) ) ) ) ) ) & r1_tarski(k2_relset_1(k2_xboole_0(k5_card_1(B),k1_seq_4(B)),k2_partfun1(k2_xboole_0(k5_card_1(C),k1_seq_4(C)),k2_xboole_0(k5_card_1(B),k1_seq_4(B)),D,k5_card_1(C))),k5_card_1(B)) & k1_funct_1(D,C) = B ) ) ) )).
fof(fraenkel_a_2_5_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_5_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & D = k1_tops_1(B,k2_pre_topc(B,k1_tops_1(B,E))) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_5_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_tex_4(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_topreal3(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) ) ) ) )).
fof(fraenkel_a_2_5_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_5_topreal4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k18_euclid(D) = k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C)) & r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1))),k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C))) ) ) ) )).
fof(fraenkel_a_2_5_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_5_topreal6(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,B),C),D) ) ) ) )).
fof(fraenkel_a_2_5_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & m1_trees_1(C,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_2_5_trees_a(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(B)) & A = D & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k2_trees_a(k9_xtuple_0(B),C)) & r1_tarski(E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_5_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_complfld))) ) => ( r2_hidden(A,a_2_5_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,C) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),B) ) ) ) )).
fof(fraenkel_a_2_5_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_5_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,k1_relset_1(k4_ordinal1,C)) ) ) ) )).
fof(fraenkel_a_2_5_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & m2_connsp_2(D,B,C) ) ) ) )).
fof(fraenkel_a_2_5_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(B) & v1_yellow_0(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k12_lattice3(B,k3_yellow_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k5_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v24_waybel_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_5_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_5_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_5_waybel22(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k2_yellow_1(B))) & A = k6_waybel_0(k2_yellow_1(B),D) & ? [E] : ( m1_subset_1(E,B) & D = k1_tarski(E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_5_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_yellow_0(C,B) & m1_yellow_0(C,B) ) => ( r2_hidden(A,a_2_5_waybel23(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,C) & v12_waybel_0(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & A = D ) ) ) )).
fof(fraenkel_a_2_5_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_5_waybel30(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(C,D) & r2_tarski(D,k2_waybel19(B)) ) ) ) )).
fof(fraenkel_a_2_5_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v4_waybel11(C) & m1_yellow_9(C,B) ) => ( r2_hidden(A,a_2_5_waybel31(B,C)) <=> ? [D] : ( v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & A = k1_card_1(D) ) ) ) )).
fof(fraenkel_a_2_5_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_5_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_3_waybel32(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_5_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_subset_1(C,u1_struct_0(k2_yellow_1(k2_struct_0(B)))) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_5_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow19(B,k2_struct_0(B),C))) & A = k1_waybel_9(B,k5_waybel_9(B,k3_yellow19(B,k2_struct_0(B),C),D)) ) ) ) )).
fof(fraenkel_a_2_5_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_5_waybel_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,D,E) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) ) ) ) ) )).
fof(fraenkel_a_2_5_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_5_waybel_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,D,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_2_5_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_waybel_3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_tops_1(B,D) & r1_tarski(D,C) & v2_compts_1(D,B) ) ) ) )).
fof(fraenkel_a_2_5_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_waybel_6(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_waybel_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v2_waybel_8(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v7_waybel_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_5_waybel_8(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & D = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) ) ) ) )).
fof(fraenkel_a_2_5_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_compts_1(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_5_waybel_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k12_lattice3(B,C,D) & r2_tarski(D,k2_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_5_weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(k1_uniroots(B))) ) => ( r2_hidden(A,a_2_5_weddwitt(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(B))) & A = D & k6_algstr_0(k1_uniroots(B),C,D) = k6_algstr_0(k1_uniroots(B),D,C) ) ) ) )).
fof(fraenkel_a_2_5_yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(B) & m2_finseq_1(C,k9_setfam_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_yellow15(B,C)) <=> ? [D] : ( m2_finseq_1(D,k5_margrel1) & A = k8_setfam_1(u1_struct_0(B),k2_relset_1(k9_setfam_1(u1_struct_0(B)),k1_yellow15(u1_struct_0(B),C,D))) & k3_finseq_1(D) = k3_finseq_1(C) ) ) ) )).
fof(fraenkel_a_2_5_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_5_yellow19(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m2_subset_1(E,u1_struct_0(k2_yellow_1(k2_struct_0(B))),C) & A = k4_tarski(D,E) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_5_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_yellow_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_5_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_5_yellow_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_5_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_2_5_zf_fund1(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = k1_classes2(B,k6_classes2(B,k3_ordinal4(B),D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_5_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & v2_zmodul03(B) & l1_zmodul01(B) & m1_zmodul03(C,B) ) => ( r2_hidden(A,a_2_5_zmodul03(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k13_zmodul02(o_0_1_zmodul03,B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_6_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(B))) ) => ( r2_hidden(A,a_2_6_abcmiz_1(B,C)) <=> ? [D] : ( v8_abcmiz_1(D,B) & m1_abcmiz_1(D,B,k13_abcmiz_1(B)) & A = k46_abcmiz_1(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_6_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_aofa_000(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(E,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,D),E) & r2_tarski(E,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,D))) & r1_tarski(k2_relset_1(u1_struct_0(B),E),C) ) ) ) )).
fof(fraenkel_a_2_6_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) => ( r2_hidden(A,a_2_6_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) => ( ( r2_tarski(k6_armstrng(B,E,F),C) & r1_tarski(E,D) ) => r1_tarski(F,D) ) ) ) ) ) ) )).
fof(fraenkel_a_2_6_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) ) => ( r2_hidden(A,a_2_6_arytm_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_arytm_3) & A = D & ? [E] : ( m1_subset_1(E,k5_arytm_3) & ? [F] : ( m1_subset_1(F,k5_arytm_3) & ~ r2_tarski(E,B) & r2_tarski(F,C) & k9_arytm_3(E,D) = F ) ) ) ) ) )).
fof(fraenkel_a_2_6_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_6_borsuk_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) & A = D & r2_tarski(k3_tarski(D),u1_pre_topc(B)) ) ) ) )).
fof(fraenkel_a_2_6_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,B,k6_card_fil(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_card_fil(B)))) ) => ( r2_hidden(A,a_2_6_card_fil(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_card_fil(B)) & A = k3_ordinal2(k8_relset_1(B,k6_card_fil(B),C,k1_tarski(D))) & r2_tarski(D,k6_card_fil(B)) ) ) ) )).
fof(fraenkel_a_2_6_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_6_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(B),k5_card_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(C)))) & A = D & v2_funct_2(D,k5_card_1(C)) & v1_stirl2_1(D,B,C) ) ) ) )).
fof(fraenkel_a_2_6_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_cgames_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_6_cgames_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k7_cgames_1(B)) & A = k1_funct_1(C,D) & k7_cgames_1(B) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_6_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ( r2_tarski(E,a_2_0_conlat_1(B,C)) => r1_conlat_1(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_6_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_6_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,k5_setfam_1(u1_struct_0(B),C)) => r1_conlat_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_6_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_dickson(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k5_dickson(B))) & A = D & r4_waybel_4(C,D,u1_orders_2(k5_dickson(B))) ) ) ) )).
fof(fraenkel_a_2_6_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( r2_hidden(A,a_2_6_fomodel2(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0)),k24_fomodel2(C,B)) & m2_subset_1(E,k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0)),k24_fomodel2(C,B)) & A = k7_finseq_1(k7_finseq_1(k43_fomodel1(C,k1_fomodel2(C)),D),E) ) ) ) )).
fof(fraenkel_a_2_6_frechet,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_6_frechet(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(B,C)) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),D) ) ) ) )).
fof(fraenkel_a_2_6_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_6_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,k1_matrix_0(C))),E) ) ) ) )).
fof(fraenkel_a_2_6_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_6_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1))) ) ) ) )).
fof(fraenkel_a_2_6_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_6_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(C),1)),D) ) ) ) )).
fof(fraenkel_a_2_6_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_6_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1))) ) ) ) )).
fof(fraenkel_a_2_6_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_6_graph_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & r1_xxreal_0(D,k2_xcmplx_0(B,C)) & r1_xxreal_0(B,D) ) ) ) )).
fof(fraenkel_a_2_6_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(B)),k8_normform(B)) => ( r2_hidden(A,a_2_6_heyting1(B,C)) <=> ? [D] : ( m2_funct_2(D,k7_normform(B),k1_heyting1(B),k9_funct_2(k7_normform(B),k1_heyting1(B))) & A = k4_tarski(a_3_5_heyting1(B,C,D),a_3_6_heyting1(B,C,D)) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) => ( r2_tarski(E,C) => r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),D,E),k5_setwiseo(B,k2_domain_1(k5_finsub_1(B),k5_finsub_1(B),E),k3_domain_1(k5_finsub_1(B),k5_finsub_1(B),E))) ) ) ) ) ) )).
fof(fraenkel_a_2_6_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))))) ) => ( r2_hidden(A,a_2_6_jordan(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))))) & A = D & v3_connsp_1(D,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))) & D != C ) ) ) )).
fof(fraenkel_a_2_6_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_6_jordan12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1)),D) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,1)),E) ) ) ) )).
fof(fraenkel_a_2_6_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k14_euclid(1))) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_6_jordan2b(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(1))) & A = D & ~ r1_xxreal_0(C,k3_metric_1(k14_euclid(1),B,D)) ) ) ) )).
fof(fraenkel_a_2_6_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_6_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)),g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))))))) & A = k3_tarski(D) & r1_tarski(D,a_2_7_jordan_a(B,C)) ) ) ) )).
fof(fraenkel_a_2_6_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v14_quantal1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_6_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_2_6_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_2_6_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r3_lattices(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_6_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v3_ordinal1(C) ) => ( r2_hidden(A,a_2_6_lattice5(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = k2_zfmisc_1(k8_lattice5(B,D),k8_lattice5(B,D)) ) ) ) )).
fof(fraenkel_a_2_6_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_lattice3(B)))) ) => ( r2_hidden(A,a_2_6_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(B))) & A = k5_lattice3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_6_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_6_lfuzzy_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),D),k5_lfuzzy_1(B,C)) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_6_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & ~ v7_struct_0(C) & v10_lattices(C) & v17_lattices(C) & l3_lattices(C) ) => ( r2_hidden(A,a_2_6_lopclset(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k7_lattices(C,D) & r2_tarski(k3_funct_2(u1_struct_0(C),k9_setfam_1(k7_lopclset(C)),k9_lopclset(C),D),B) ) ) ) )).
fof(fraenkel_a_2_6_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v2_membered(C) ) => ( r2_hidden(A,a_2_6_member_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k6_numbers) & m1_subset_1(E,k6_numbers) & A = k6_xxreal_3(D,E) & r2_tarski(D,B) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_6_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_hidden(A,a_2_6_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = D & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(C,k1_funct_1(B,D)) ) ) ) )).
fof(fraenkel_a_2_6_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k6_modal_1) & m1_trees_1(C,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_2_6_modal_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)) & r2_tarski(k8_finseq_1(k4_ordinal1,C,k14_trees_3(D)),k9_xtuple_0(B)) ) ) ) )).
fof(fraenkel_a_2_6_nat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_6_nat_4(B,C)) <=> ? [D] : ( v1_int_2(D) & m1_subset_1(D,k4_ordinal1) & A = k11_newton(D,k11_nat_3(C,D)) & ~ r1_xxreal_0(D,B) & r1_xxreal_0(D,k2_nat_1(2,B)) & ~ r1_xxreal_0(k11_nat_3(C,D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_6_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_6_petri(B,C)) <=> ? [D] : ( m1_petri(D,u1_struct_0(B),u4_struct_0(B),u1_petri(B)) & A = k2_petri(B,D) & r2_tarski(k3_petri(B,D),C) ) ) ) )).
fof(fraenkel_a_2_6_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m3_pua2mss1(C,B) ) => ( r2_hidden(A,a_2_6_pua2mss1(B,C)) <=> ? [D] : ( m2_finseq_2(D,C,k3_finseq_2(C)) & A = k4_card_3(D) ) ) ) )).
fof(fraenkel_a_2_6_rcomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( r2_hidden(A,a_2_6_rcomp_1(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(k3_seq_4(B),C)) & ~ r1_xxreal_0(k2_xcmplx_0(k3_seq_4(B),C),D) ) ) ) )).
fof(fraenkel_a_2_6_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_rlaffin2(B,C)) <=> ? [D] : ( v2_convex1(D,B) & m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) & r2_tarski(D,k1_convex3(B)) ) ) ) )).
fof(fraenkel_a_2_6_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_tarski(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),D),C) ) ) ) )).
fof(fraenkel_a_2_6_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_rusub_5(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(k3_rusub_5(B,C),E) => r1_bhsp_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_6_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_6_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(C),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(C),k5_card_1(B)))) & A = D & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( k5_card_1(E) = k5_card_1(C) & k5_card_1(F) = k5_card_1(B) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k5_card_1(E),k5_card_1(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(E),k5_card_1(F)))) ) => ~ ( G = D & v2_funct_2(G,k5_card_1(F)) & v1_stirl2_1(G,E,F) & ~ ( ~ r1_xxreal_0(E,C) & k1_stirl2_1(E,k5_card_1(F),G,k1_seq_4(k2_stirl2_1(k5_card_1(E),F,G,C))) = k1_seq_4(C) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_6_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_6_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & D = k2_pre_topc(B,E) & r2_tarski(E,k1_pcomps_1(B,C)) ) ) ) ) )).
fof(fraenkel_a_2_6_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v3_pre_topc(D,B) & r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_6_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_2_6_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(2))) & A = D & ~ r1_xxreal_0(B,k3_metric_1(k14_euclid(2),C,D)) ) ) ) )).
fof(fraenkel_a_2_6_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_6_topreal4(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) ) ) ) )).
fof(fraenkel_a_2_6_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_6_trees_a(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(B)) & A = D & ~ r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_6_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_complfld))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_6_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,B) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),k2_xcmplx_0(C,1)) ) ) ) )).
fof(fraenkel_a_2_6_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_6_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_3_waybel11(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_6_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(B) & v1_yellow_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k12_lattice3(B,k3_yellow_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_6_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_6_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_6_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_6_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_4_waybel17(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_6_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_waybel21(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_9(B,C))) & A = k2_yellow_0(B,C) ) ) ) )).
fof(fraenkel_a_2_6_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v6_waybel23(C,B) & m1_waybel23(C,B) ) => ( r2_hidden(A,a_2_6_waybel23(B,C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_waybel_0(D,k5_yellow_0(B,C)) & v12_waybel_0(D,k5_yellow_0(B,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_0(B,C)))) & A = D ) ) ) )).
fof(fraenkel_a_2_6_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_finset_1(C) ) => ( r2_hidden(A,a_2_6_waybel31(B,C)) <=> ? [D] : ( m1_subset_1(D,C) & A = D & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) ) ) )).
fof(fraenkel_a_2_6_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_6_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) ) ) ) )).
fof(fraenkel_a_2_6_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_subset_1(C,u1_struct_0(k2_yellow_1(k2_struct_0(B)))) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_6_waybel33(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_6_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_6_waybel_0(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) ) ) ) ) )).
fof(fraenkel_a_2_6_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_6_waybel_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D),D) ) ) ) )).
fof(fraenkel_a_2_6_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k3_yellow_3(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) ) => ( r2_hidden(A,a_2_6_waybel_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(D,k4_yellow_3(B,B,C)) & r2_tarski(E,k5_yellow_3(B,B,C)) ) ) ) )).
fof(fraenkel_a_2_6_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_6_waybel_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_6_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_2_6_waybel_6(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & k1_funct_1(D,C) = 1 ) ) ) )).
fof(fraenkel_a_2_6_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v8_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_6_waybel_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = D & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & E = a_3_1_waybel_9(B,C,D) & F = k2_pre_topc(B,E) ) ) ) ) ) )).
fof(fraenkel_a_2_6_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_yellow_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r3_orders_2(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_6_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_6_yellow_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,D,E) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_6_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_6_yellow_9(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k3_subset_1(u1_struct_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_6_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_2_6_zf_fund1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,B) & m1_subset_1(E,B) & A = k1_zf_fund1(B,D,E) & r2_tarski(D,k1_classes2(B,k5_classes2(B,k6_classes2(B,k2_ordinal4(B),k3_ordinal4(B)),k6_classes2(B,k3_ordinal4(B),k3_ordinal4(B))))) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_2_7_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & m1_subset_1(C,k1_zfmisc_1(k2_abcmiz_1)) ) => ( r2_hidden(A,a_2_7_abcmiz_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_abcmiz_1) & A = k1_domain_1(k2_abcmiz_1,k3_card_3(u3_msualg_1(B,k1_msafree3(B,k28_abcmiz_1(B)))),D,k35_abcmiz_1(D,B)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r2_hidden(A,a_2_7_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ~ r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_7_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m1_subset_1(C,k5_arytm_3) ) => ( r2_hidden(A,a_2_7_arytm_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_arytm_3) & A = D & ? [E] : ( m1_subset_1(E,k5_arytm_3) & ~ r2_tarski(E,B) & k9_arytm_3(E,D) = C ) ) ) ) )).
fof(fraenkel_a_2_7_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_7_card_fin(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = D & v2_funct_2(D,C) ) ) ) )).
fof(fraenkel_a_2_7_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_cgames_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_7_cgames_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_cgames_1(B)) & A = k1_funct_1(k5_relat_1(C,k11_cgames_1(B)),D) & k6_cgames_1(B) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_7_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,a_2_6_conlat_1(B,C)) => r1_conlat_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_7_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_conlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r1_conlat_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_7_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))))) ) => ( r2_hidden(A,a_2_7_euclid_7(B,C)) <=> ? [D] : ( m2_rlvect_2(D,k10_funcsdom(k2_finseq_1(B)),C) & A = k6_rlvect_2(k10_funcsdom(k2_finseq_1(B)),D) ) ) ) )).
fof(fraenkel_a_2_7_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v1_xboole_0(C) ) => ( r2_hidden(A,a_2_7_fomodel2(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(B,C)) & m2_subset_1(E,k3_finseq_2(k1_fomodel1(B)),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & A = k1_domain_1(k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),D,E) ) ) ) )).
fof(fraenkel_a_2_7_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_7_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))) ) ) ) )).
fof(fraenkel_a_2_7_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_7_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1)))) ) ) ) )).
fof(fraenkel_a_2_7_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_7_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1)),D) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1))) ) ) ) )).
fof(fraenkel_a_2_7_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_7_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(C,1))),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(k1_nat_1(C,1),1)))) ) ) ) )).
fof(fraenkel_a_2_7_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_7_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & k4_card_1(D) = C ) ) ) )).
fof(fraenkel_a_2_7_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(B)),k8_normform(B)) => ( r2_hidden(A,a_2_7_heyting1(B,C)) <=> ? [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k3_funct_2(k7_normform(B),k1_heyting1(B),o_1_3_heyting1(B),D) & r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),o_1_3_heyting1(B),D),k3_domain_1(k5_finsub_1(B),k5_finsub_1(B),D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_7_jordan12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,1)),D) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,C))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(C,1))),E) ) ) ) )).
fof(fraenkel_a_2_7_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) ) => ( r2_hidden(A,a_2_7_jordan2b(B,C)) <=> ? [D] : ( v1_xreal_0(D) & A = D & ~ r1_xxreal_0(D,k6_xcmplx_0(C,B)) & ~ r1_xxreal_0(k2_xcmplx_0(C,B),D) ) ) ) )).
fof(fraenkel_a_2_7_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r2_hidden(A,a_2_7_jordan_a(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,D,E) & r2_tarski(D,u1_pre_topc(B)) & r2_tarski(E,u1_pre_topc(C)) ) ) ) )).
fof(fraenkel_a_2_7_knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v14_quantal1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_2_7_knaster(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) & r3_lattices(B,D,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_2_7_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_2_7_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k15_lattice3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & m2_lattice5(C,u1_struct_0(B),B,k16_lattice5(B)) ) => ( r2_hidden(A,a_2_7_lattice5(B,C)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & A = k2_zfmisc_1(k1_xfamily(k1_funct_1(C,D)),k1_xfamily(k1_funct_1(C,D))) ) ) ) )).
fof(fraenkel_a_2_7_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k4_lattice3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_7_lfuzzy_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)),a_3_3_lfuzzy_1(B,C,D)) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_7_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(B)))) ) => ( r2_hidden(A,a_2_7_lopclset(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k7_lopclset(B))) & A = k3_subset_1(k7_lopclset(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_membered(C) ) => ( r2_hidden(A,a_2_7_member_1(B,C)) <=> ? [D] : ? [E] : ( v1_xcmplx_0(D) & v1_xcmplx_0(E) & A = k7_xcmplx_0(D,E) & r2_hidden(D,B) & r2_hidden(E,C) ) ) ) )).
fof(fraenkel_a_2_7_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,k9_setfam_1(B)) => ( r2_hidden(A,a_2_7_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & r1_xxreal_0(k3_finseq_1(C),k24_mmlquery(C,D)) ) ) ) )).
fof(fraenkel_a_2_7_nat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_7_nat_4(B,C)) <=> ? [D] : ( v1_int_2(D) & m1_subset_1(D,k4_ordinal1) & A = k11_newton(D,k11_nat_3(C,D)) & ~ r1_xxreal_0(D,k3_square_1(k2_nat_1(2,B))) & r1_xxreal_0(D,k7_xcmplx_0(k2_nat_1(2,B),3)) & ~ r1_xxreal_0(k11_nat_3(C,D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_7_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & l1_petri(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_7_petri(B,C)) <=> ? [D] : ( m1_petri(D,u4_struct_0(B),u1_struct_0(B),u2_petri(B)) & A = k5_petri(B,D) & r2_tarski(k4_petri(B,D),C) ) ) ) )).
fof(fraenkel_a_2_7_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m4_pua2mss1(C,B) ) => ( r2_hidden(A,a_2_7_pua2mss1(B,C)) <=> ? [D] : ( m2_finseq_2(D,k10_pua2mss1(B,C),k3_finseq_2(k10_pua2mss1(B,C))) & A = k4_card_3(D) ) ) ) )).
fof(fraenkel_a_2_7_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_rlaffin2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_rlaffin2(B,D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),D),C) ) ) ) )).
fof(fraenkel_a_2_7_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_7_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = D & v2_funct_2(D,k5_card_1(B)) & v1_stirl2_1(D,k1_nat_1(C,1),B) ) ) ) )).
fof(fraenkel_a_2_7_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_7_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v4_pre_topc(D,B) & r1_tarski(k6_domain_1(u1_struct_0(B),C),D) ) ) ) )).
fof(fraenkel_a_2_7_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_7_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k18_euclid(B),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k7_xcmplx_0(k2_xcmplx_0(k18_euclid(B),k18_euclid(C)),2)) ) ) ) )).
fof(fraenkel_a_2_7_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_7_topreal4(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),C,k12_finseq_1(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(B),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)))))),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),C,k12_finseq_1(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(B),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)))))))) ) ) ) )).
fof(fraenkel_a_2_7_trees_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & v1_trees_9(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_7_trees_9(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = k1_trees_2(B,D) & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_7_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k13_polynom3(k1_complfld))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_complfld))) ) => ( r2_hidden(A,a_2_7_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,C) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),k3_finseq_1(B)) ) ) ) )).
fof(fraenkel_a_2_7_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_7_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_waybel_0(B,C,D) ) ) ) )).
fof(fraenkel_a_2_7_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(B) & v2_yellow_0(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k13_lattice3(B,k4_yellow_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_7_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r2_tarski(D,k3_subset_1(u1_struct_0(B),k5_waybel_0(B,k1_yellow_0(B,k1_waybel_3(B,C))))) ) ) ) )).
fof(fraenkel_a_2_7_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_7_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_7_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_waybel21(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_9(B,C))) & A = k2_yellow_0(B,a_3_2_waybel21(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_7_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_waybel31(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k6_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_7_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_waybel32(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_7_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_6_waybel32(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_7_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_7_waybel33(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m2_subset_1(E,u1_struct_0(k2_yellow_1(k2_struct_0(B))),C) & A = k1_domain_1(u1_struct_0(B),C,D,E) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_7_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_7_waybel_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_orders_2(B,k11_lattice3(B,C,D),k3_yellow_0(B)) ) ) ) )).
fof(fraenkel_a_2_7_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_7_waybel_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_waybel_3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_7_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & v1_subset_1(C,u1_struct_0(k2_yellow_1(k2_struct_0(B)))) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_2_7_yellow19(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(B)) & m2_subset_1(E,u1_struct_0(k2_yellow_1(k2_struct_0(B))),C) & A = k4_tarski(D,E) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_2_7_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_7_yellow_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_orders_2(B,E,D) & r2_tarski(E,C) ) ) ) ) )).
fof(fraenkel_a_2_7_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & v8_yellow_6(C,B) & m4_yellow_6(C,B) ) => ( r2_hidden(A,a_2_7_yellow_6(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,D) => ! [F] : ( ( ~ v2_struct_0(F) & v4_orders_2(F) & v7_waybel_0(F) & l1_waybel_0(F,B) ) => ( r2_hidden(k4_tarski(F,E),C) => r1_waybel_0(B,F,D) ) ) ) ) ) ) ) )).
fof(fraenkel_a_2_7_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul02(C,B) ) => ( r2_hidden(A,a_2_7_zmodul02(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k3_funct_2(u1_struct_0(B),k4_numbers,C,D) != k5_numbers ) ) ) )).
fof(fraenkel_a_2_8_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_8_abcmiz_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k2_tarski(B,C)) & A = k1_abcmiz_1(D) ) ) )).
fof(fraenkel_a_2_8_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v4_abcmiz_a(C,B) & m1_subset_1(C,u4_struct_0(B)) ) => ( r2_hidden(A,a_2_8_abcmiz_a(B,C)) <=> ? [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = D & k7_msaterm(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D) = k2_msualg_1(B,C) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),k28_abcmiz_1(B),k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D),k28_abcmiz_1(B)) ) ) ) )).
fof(fraenkel_a_2_8_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_8_armstrng(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & A = k6_armstrng(B,D,E) & ( r1_tarski(C,D) | r1_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_2_8_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k2_arytm_2) & m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) ) => ( r2_hidden(A,a_2_8_arytm_2(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k5_arytm_3) & m1_subset_1(E,k5_arytm_3) & A = k9_arytm_3(D,E) & r2_tarski(D,C) & r2_tarski(E,k3_arytm_2(B)) ) ) ) )).
fof(fraenkel_a_2_8_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_cgames_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,a_2_8_cgames_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_cgames_1(B)) & A = k1_funct_1(C,D) & k6_cgames_1(B) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_2_8_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_8_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u4_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,a_2_1_conlat_1(B,C)) => r1_conlat_1(B,E,D) ) ) ) ) ) )).
fof(fraenkel_a_2_8_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_real_ns1(B)))) ) => ( r2_hidden(A,a_2_8_euclid_7(B,C)) <=> ? [D] : ( m2_rlvect_2(D,k7_real_ns1(B),C) & A = k6_rlvect_2(k7_real_ns1(B),D) ) ) ) )).
fof(fraenkel_a_2_8_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( r2_hidden(A,a_2_8_fomodel2(B,C)) <=> ? [D] : ? [E] : ( m2_subset_1(D,k15_fomodel1(C),k16_fomodel1(C)) & m2_subset_1(E,k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0)),k24_fomodel2(C,B)) & A = k7_finseq_1(k9_finseq_1(D),E) ) ) ) )).
fof(fraenkel_a_2_8_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_8_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C),B)),D) ) ) ) )).
fof(fraenkel_a_2_8_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_8_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) ) ) ) )).
fof(fraenkel_a_2_8_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_8_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_matrix_0(C))),E) ) ) ) )).
fof(fraenkel_a_2_8_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_8_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,C)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_8_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_8_jordan12(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & A = k3_xboole_0(D,E) & r2_tarski(D,a_1_0_jordan12(B)) & r2_tarski(E,a_1_0_jordan12(C)) ) ) ) )).
fof(fraenkel_a_2_8_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_8_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan6(B,k22_pscomp_1(B),D) & r1_jordan6(B,D,C) ) ) ) )).
fof(fraenkel_a_2_8_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,a_2_8_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice3(B))) & A = k7_lattices(k1_lattice3(B),D) & r2_tarski(D,C) ) ) )).
fof(fraenkel_a_2_8_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v2_lattice6(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(k7_lattice3(k3_lattice3(B)))) ) => ( r2_hidden(A,a_2_8_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,k5_lattice3(B,k9_lattice3(k3_lattice3(B),C)),D) & D != k5_lattice3(B,k9_lattice3(k3_lattice3(B),C)) ) ) ) )).
fof(fraenkel_a_2_8_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_8_lfuzzy_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)),a_3_4_lfuzzy_1(B,C,D)) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_8_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_membered(B) & v1_xxreal_0(C) ) => ( r2_hidden(A,a_2_8_member_1(B,C)) <=> ? [D] : ( m1_subset_1(D,k6_numbers) & A = k1_xxreal_3(C,D) & r2_tarski(D,B) ) ) ) )).
fof(fraenkel_a_2_8_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,k9_setfam_1(B)) => ( r2_hidden(A,a_2_8_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,B) & A = D & r1_xxreal_0(1,k24_mmlquery(C,D)) ) ) ) )).
fof(fraenkel_a_2_8_nat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_8_nat_4(B,C)) <=> ? [D] : ( v1_int_2(D) & m1_subset_1(D,k4_ordinal1) & A = k11_newton(D,k11_nat_3(C,D)) & r1_xxreal_0(D,k3_square_1(k2_nat_1(2,B))) & ~ r1_xxreal_0(k11_nat_3(C,D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_8_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_roughs_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_8_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),D),C) ) ) ) )).
fof(fraenkel_a_2_8_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_8_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = D & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & E = D & v2_funct_2(E,k5_card_1(B)) & v1_stirl2_1(E,k1_nat_1(C,1),B) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(B),E,k1_seq_4(k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,E,C))) != k1_seq_4(C) ) ) ) ) )).
fof(fraenkel_a_2_8_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_8_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v1_tex_4(D,B) & r2_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_8_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_8_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(C) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k18_euclid(B),k18_euclid(C)),2),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_2_8_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_8_topreal4(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),C,k12_finseq_1(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C))),k18_euclid(B)))),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),C,k12_finseq_1(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C))),k18_euclid(B)))))) ) ) ) )).
fof(fraenkel_a_2_8_trees_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & v1_trees_9(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_8_trees_9(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_trees_2(B,D) & r1_xxreal_0(D,C) ) ) ) )).
fof(fraenkel_a_2_8_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_8_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,k2_uniroots(B)) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),k1_nat_1(C,1)) ) ) ) )).
fof(fraenkel_a_2_8_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v1_yellow_6(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_8_waybel11(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_4_waybel11(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_8_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(B) & v2_yellow_0(B) & v1_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_8_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k13_lattice3(B,k4_yellow_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_8_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_8_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & r1_tarski(D,k2_waybel_3(B,E)) & r1_waybel_3(B,E,C) & r2_tarski(C,D) & v3_pre_topc(D,B) & v2_waybel_0(D,B) ) ) ) ) )).
fof(fraenkel_a_2_8_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_8_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r1_tarski(k2_waybel_3(B,D),C) ) ) ) )).
fof(fraenkel_a_2_8_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_8_waybel31(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k5_waybel_0(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_8_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_waybel32(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v10_waybel_0(C,B) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_8_waybel32(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_7_waybel32(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_8_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_8_waybel_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),D,C),k1_waybel_4(B)) ) ) ) )).
fof(fraenkel_a_2_8_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_compts_1(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_8_waybel_9(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k13_lattice3(B,C,D) & r2_tarski(D,k2_struct_0(B)) ) ) ) )).
fof(fraenkel_a_2_8_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_8_yellow19(B,C)) <=> ? [D] : ( m1_yellow19(D,B,C) & A = k2_pre_topc(B,D) ) ) ) )).
fof(fraenkel_a_2_9_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_abcmiz_1(B,k27_abcmiz_1) & m1_abcmiz_1(B,k27_abcmiz_1,k13_abcmiz_1(k27_abcmiz_1)) & m3_abcmiz_1(C,k27_abcmiz_1) ) => ( r2_hidden(A,a_2_9_abcmiz_a(B,C)) <=> ? [D] : ( v8_abcmiz_1(D,k27_abcmiz_1) & m1_abcmiz_1(D,k27_abcmiz_1,k13_abcmiz_1(k27_abcmiz_1)) & A = k9_abcmiz_a(k27_abcmiz_1,D) & r2_tarski(D,k2_xboole_0(k6_domain_1(k3_card_3(u3_msualg_1(k27_abcmiz_1,k1_msafree3(k27_abcmiz_1,k28_abcmiz_1(k27_abcmiz_1)))),B),k41_abcmiz_1(k27_abcmiz_1,C))) ) ) ) )).
fof(fraenkel_a_2_9_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_2_9_armstrng(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & A = D & ~ r1_tarski(C,D) ) ) ) )).
fof(fraenkel_a_2_9_arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_arytm_3) & m1_subset_1(C,k5_arytm_3) ) => ( r2_hidden(A,a_2_9_arytm_2(B,C)) <=> ? [D] : ( m1_subset_1(D,k5_arytm_3) & A = D & ~ r3_arytm_3(k10_arytm_3(B,C),D) ) ) ) )).
fof(fraenkel_a_2_9_bintree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r2_hidden(A,a_2_9_bintree2(B,C)) <=> ? [D] : ( m1_trees_1(D,B) & A = D & k3_finseq_1(D) = C ) ) ) )).
fof(fraenkel_a_2_9_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_2_9_conlat_1(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ( r2_tarski(E,a_2_8_conlat_1(B,C)) => r1_conlat_1(B,D,E) ) ) ) ) ) )).
fof(fraenkel_a_2_9_dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_9_dickson(B,C)) <=> ? [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),k9_dickson(B,C)) & A = D & v1_finset_1(D) ) ) ) )).
fof(fraenkel_a_2_9_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_9_goboard5(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))) ) ) ) )).
fof(fraenkel_a_2_9_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_2_9_goboard6(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),E) ) ) ) )).
fof(fraenkel_a_2_9_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_9_gobrd11(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,C)),E) & r1_xxreal_0(E,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_2_9_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_9_gobrd12(B,C)) <=> ? [D] : ? [E] : ( v1_xreal_0(D) & v1_xreal_0(E) & A = k19_euclid(D,E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(C,1))),E) ) ) ) )).
fof(fraenkel_a_2_9_group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v7_ordinal1(C) & v1_int_2(C) ) => ( r2_hidden(A,a_2_9_group_10(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_group_3(B)) & A = D & ? [E] : ( v15_algstr_0(E) & m1_group_2(E,B) & E = D & r3_group_10(C,B,E) ) ) ) ) )).
fof(fraenkel_a_2_9_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(B)),k8_normform(B)) => ( r2_hidden(A,a_2_9_heyting1(B,C)) <=> ? [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k3_funct_2(k7_normform(B),k1_heyting1(B),o_1_3_heyting1(B),D) & r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),o_1_3_heyting1(B),D),k2_domain_1(k5_finsub_1(B),k5_finsub_1(B),D)) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_9_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_9_jordan_a(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),k22_pscomp_1(B),D) & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),D,C) ) ) ) )).
fof(fraenkel_a_2_9_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ( r2_hidden(A,a_2_9_lattice3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattice3(B,D,C) ) ) ) )).
fof(fraenkel_a_2_9_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v2_lattice6(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(k7_lattice3(k3_lattice3(B)))) ) => ( r2_hidden(A,a_2_9_lattice6(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k5_lattice6(B))) & A = D & ? [E] : ( m1_subset_1(E,u1_struct_0(k3_lattice3(B))) & r2_tarski(k5_lattice3(B,E),a_2_8_lattice6(B,C)) & k5_lattice3(B,E) = k16_lattice3(B,D) ) ) ) ) )).
fof(fraenkel_a_2_9_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ( r2_hidden(A,a_2_9_lfuzzy_1(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k6_lfuzzy_0(k2_zfmisc_1(B,B),k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),D),k5_lfuzzy_0(k2_zfmisc_1(B,B),E))) & r2_tarski(D,a_2_0_lfuzzy_1(B,C)) & r2_tarski(E,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_2_9_member_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_xcmplx_0(C) ) => ( r2_hidden(A,a_2_9_member_1(B,C)) <=> ? [D] : ( v1_xcmplx_0(D) & A = k2_xcmplx_0(C,D) & r2_hidden(D,B) ) ) ) )).
fof(fraenkel_a_2_9_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) ) => ( r2_hidden(A,a_2_9_mmlquery(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(B),k2_relset_1(u1_mmlquery(B),C),k30_mmlquery(B,D))),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_9_nat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_9_nat_4(B,C)) <=> ? [D] : ( v1_int_2(D) & m1_subset_1(D,k4_ordinal1) & A = k11_newton(D,k11_nat_3(C,D)) & ~ r1_xxreal_0(D,B) & r1_xxreal_0(D,k2_nat_1(2,B)) & ~ r1_xxreal_0(k11_nat_3(C,D),k5_numbers) ) ) ) )).
fof(fraenkel_a_2_9_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_9_pcomps_2(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = D & ~ r1_xxreal_0(k1_nat_1(k2_xcmplx_0(k1_nat_1(B,1),C),1),D) ) ) ) )).
fof(fraenkel_a_2_9_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_9_rlaffin2(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = k1_rlaffin2(B,D) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_9_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v4_roughs_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_9_roughs_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & ~ r1_xboole_0(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),D),C) ) ) ) )).
fof(fraenkel_a_2_9_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_2_9_stirl2_1(B,C)) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(k1_nat_1(C,1)),k5_card_1(k1_nat_1(B,1))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(k1_nat_1(B,1))))) & A = D & v2_funct_2(D,k5_card_1(k1_nat_1(B,1))) & v1_stirl2_1(D,k1_nat_1(C,1),k1_nat_1(B,1)) ) ) ) )).
fof(fraenkel_a_2_9_tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_hidden(A,a_2_9_tdlat_2(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k4_tdlat_1(B))) & A = D & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_9_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_9_tex_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_tex_4(B,D) & r2_tarski(D,k6_domain_1(u1_struct_0(B),C)) ) ) ) )).
fof(fraenkel_a_2_9_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_2_9_topreal3(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & A = D & k17_euclid(D) = k17_euclid(B) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k18_euclid(B),k18_euclid(C)),2),k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),k18_euclid(B)) ) ) ) )).
fof(fraenkel_a_2_9_topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_9_topreal4(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) ) ) ) )).
fof(fraenkel_a_2_9_uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_complfld))) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_2_9_uniroots(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(k1_complfld))) & A = D & r2_tarski(D,B) & r1_xxreal_0(k6_group_1(k1_uniroots(k1_complfld),D),k1_nat_1(C,1)) ) ) ) )).
fof(fraenkel_a_2_9_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_2_9_valued_1(B,C)) <=> ? [D] : ( v7_ordinal1(D) & A = k2_xcmplx_0(D,B) & r2_tarski(D,k4_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_2_9_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_yellow_0(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_9_waybel12(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k12_lattice3(B,k4_yellow_0(B),D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_9_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(B)))) ) => ( r2_hidden(A,a_2_9_waybel14(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = k2_waybel_3(B,D) & r2_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_9_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_2_9_waybel17(B,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_tarski(D,a_1_0_waybel17(B)) & r1_tarski(D,C) ) ) ) )).
fof(fraenkel_a_2_9_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) ) => ( r2_hidden(A,a_2_9_waybel21(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(C)) & A = k2_yellow_0(B,a_3_6_waybel21(B,C,D)) ) ) ) )).
fof(fraenkel_a_2_9_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,B) ) => ( r2_hidden(A,a_2_9_waybel31(B,C)) <=> ? [D] : ? [E] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k7_subset_1(u1_struct_0(C),D,k4_waybel_0(C,E)) & r2_tarski(D,k5_waybel11(C)) & v1_finset_1(E) ) ) ) )).
fof(fraenkel_a_2_9_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_2_9_waybel_4(B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),D,C),k2_waybel_4(B)) ) ) ) )).
fof(fraenkel_a_3_0_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) & l1_msualg_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(B)))) & m1_subset_1(D,k1_zfmisc_1(k38_abcmiz_1(B))) ) => ( r2_hidden(A,a_3_0_abcmiz_1(B,C,D)) <=> ? [E] : ( v8_abcmiz_1(E,B) & m1_abcmiz_1(E,B,k13_abcmiz_1(B)) & A = k61_abcmiz_1(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B))))) ) => ( r2_hidden(A,a_3_0_abian(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & A = k3_mcart_1(k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B),k3_funct_2(k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B)),D,E)) ) ) ) )).
fof(fraenkel_a_3_0_aff_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v7_struct_0(B) & v1_diraf(B) & l1_analoaf(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_aff_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_aff_1(B,E,F,C) & r2_tarski(F,D) ) ) ) ) )).
fof(fraenkel_a_3_0_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,a_3_0_afinsq_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,k1_nat_1(B,k4_card_1(C))) & r2_tarski(E,k9_xtuple_0(D)) ) ) ) )).
fof(fraenkel_a_3_0_alg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m1_alg_1(C,B) & m5_margrel1(D,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_3_0_alg_1(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k8_eqrel_1(u1_struct_0(B),C),k3_finseq_2(k8_eqrel_1(u1_struct_0(B),C))) & A = E & k3_finseq_1(E) = k18_margrel1(D) ) ) ) )).
fof(fraenkel_a_3_0_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_algstr_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k4_tarski(E,F) & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) ) ) ) )).
fof(fraenkel_a_3_0_ali2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_ali2(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_ali2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k3_metric_1(B,E,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E)),k3_xcmplx_0(k3_metric_1(B,o_1_0_ali2(B),k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,o_1_0_ali2(B))),k2_power(D,k1_nat_1(k5_numbers,1)))) ) ) ) )).
fof(fraenkel_a_3_0_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v2_ami_wstd(C,B) & l1_extpro_1(C,B) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(C)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_0_ami_wstd(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_ami_wstd(B,C,E) & r2_tarski(E,k1_relset_1(k4_ordinal1,D)) ) ) ) )).
fof(fraenkel_a_3_0_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & l1_extpro_1(C,B) & m1_subset_1(D,u1_compos_1(C)) ) => ( r2_hidden(A,a_3_0_amistd_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_amistd_1(B,C,E,D) ) ) ) )).
fof(fraenkel_a_3_0_amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v3_amistd_1(C,B) & l1_extpro_1(C,B) & m1_subset_1(D,u1_compos_1(C)) ) => ( r2_hidden(A,a_3_0_amistd_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_amistd_1(B,C,E,D) ) ) ) )).
fof(fraenkel_a_3_0_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_aofa_000(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,E))) & r1_tarski(k2_relset_1(u1_struct_0(B),F),k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,D)) ) ) ) )).
fof(fraenkel_a_3_0_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( r2_hidden(A,a_3_0_aofa_i00(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & k1_funct_1(E,C) != D ) ) ) )).
fof(fraenkel_a_3_0_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_subset_1(C,k4_armstrng(B)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) ) => ( r2_hidden(A,a_3_0_armstrng(B,C,D)) <=> ? [E] : ( m1_armstrng(E,B,D) & A = E & r3_armstrng(B,E,C) ) ) ) )).
fof(fraenkel_a_3_0_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_funct_2(C,B,k1_numbers) & m1_funct_2(D,B,k1_numbers) ) => ( r2_hidden(A,a_3_0_asympt_0(B,C,D)) <=> ? [E] : ( m2_funct_2(E,B,k1_numbers,k9_funct_2(B,k1_numbers)) & A = E & ? [F] : ( m2_funct_2(F,B,k1_numbers,k9_funct_2(B,k1_numbers)) & ? [G] : ( m2_funct_2(G,B,k1_numbers,k9_funct_2(B,k1_numbers)) & r2_tarski(F,C) & r2_tarski(G,D) & ! [H] : ( m1_subset_1(H,B) => k3_funct_2(B,k1_numbers,E,H) = k3_real_1(k3_funct_2(B,k1_numbers,F,H),k3_funct_2(B,k1_numbers,G,H)) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v16_waybel_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B))))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_bagorder(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k5_finsub_1(u1_struct_0(B))) & m1_subset_1(F,k5_finsub_1(u1_struct_0(B))) & A = k1_domain_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B)),E,F) & E != k1_xboole_0 & F != k1_xboole_0 & k11_bagorder(B,E) = k11_bagorder(B,F) & r2_tarski(k1_domain_1(k1_zfmisc_1(E),k1_zfmisc_1(F),k6_subset_1(E,k6_domain_1(u1_struct_0(B),k11_bagorder(B,E))),k6_subset_1(F,k6_domain_1(u1_struct_0(B),k11_bagorder(B,F)))),k8_nat_1(k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(B)),k5_finsub_1(u1_struct_0(B)))),C,D)) ) ) ) )).
fof(fraenkel_a_3_0_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m2_subset_1(C,u1_struct_0(B),k5_bcialg_1(B)) & m2_subset_1(D,u1_struct_0(B),k5_bcialg_1(B)) ) => ( r2_hidden(A,a_3_0_bcialg_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_bcialg_1(B,k6_bcialg_1(B,C,D),E) ) ) ) )).
fof(fraenkel_a_3_0_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_bcialg_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_bcialg_1(B,k1_bcialg_1(B,E,C),D) ) ) ) )).
fof(fraenkel_a_3_0_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & ~ v2_struct_0(C) & v3_bcialg_1(C) & v4_bcialg_1(C) & v5_bcialg_1(C) & v7_bcialg_1(C) & l2_bcialg_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v2_bcialg_6(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_bcialg_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k4_struct_0(C) ) ) ) )).
fof(fraenkel_a_3_0_bhsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_bhsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k3_bhsp_1(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_0_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l2_struct_0(B) & ~ v2_struct_0(C) & l1_vectsp_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_0_bilinear(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k2_binop_1(u1_struct_0(C),u1_struct_0(C),u1_struct_0(B),D,E,E) = k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_0_binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,B,k9_funct_2(k4_ordinal1,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(k4_ordinal1,C)))) ) => ( r2_hidden(A,a_3_0_binom(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ( m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,B) & m1_subset_1(G,C) & A = k4_tarski(k4_tarski(E,F),G) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & H = k3_funct_2(B,k9_funct_2(k4_ordinal1,C),D,F) & G = k8_nat_1(C,H,E) ) ) ) ) )).
fof(fraenkel_a_3_0_bintree1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & ~ v1_xboole_0(C) & v1_trees_1(C) & m1_trees_1(D,k13_trees_3(B,C)) ) => ( r2_hidden(A,a_3_0_bintree1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_finseq_1(k4_ordinal1,D,k14_trees_3(E)) & r2_tarski(k8_finseq_1(k4_ordinal1,D,k14_trees_3(E)),k13_trees_3(B,C)) ) ) ) )).
fof(fraenkel_a_3_0_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & v1_pre_topc(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ( r2_hidden(A,a_3_0_borsuk_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) & A = k5_setfam_1(u1_struct_0(D),E) & r1_tarski(E,a_2_0_borsuk_1(B,C)) ) ) ) )).
fof(fraenkel_a_3_0_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_compts_1(C) & l1_pre_topc(C) & v3_pre_topc(D,k2_borsuk_1(C,B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C,B)))) ) => ( r2_hidden(A,a_3_0_borsuk_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k3_borsuk_1(C,B,k2_struct_0(C),k6_domain_1(u1_struct_0(B),E)),D) ) ) ) )).
fof(fraenkel_a_3_0_bvfunc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_partit1(B))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_0_bvfunc_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r2_tarski(D,E) & ! [F] : ( m1_eqrel_1(F,B) => ( r2_tarski(F,C) => r1_partit1(B,F,E) ) ) ) ) ) )).
fof(fraenkel_a_3_0_cantor_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_cantor_1(B,C)))) ) => ( r2_hidden(A,a_3_0_cantor_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_cantor_1(B,C))) & A = k3_tarski(E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_card_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_3_0_card_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & k3_funct_2(B,C,D,E) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_0_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_card_fil(C,B) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_0_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & r2_tarski(F,a_3_1_card_fil(B,C,D)) & r1_tarski(F,E) ) ) ) ) )).
fof(fraenkel_a_3_0_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_3_0_card_fin(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(k6_subset_1(C,k1_tarski(D)),k1_tarski(D)),k7_domain_1(k4_ordinal1,1,k5_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k6_subset_1(C,k1_tarski(D)),k1_tarski(D)),k7_domain_1(k4_ordinal1,1,k5_numbers)))) & A = E & k4_card_1(k8_relset_1(k2_xboole_0(k6_subset_1(C,k1_tarski(D)),k1_tarski(D)),k7_domain_1(k4_ordinal1,1,k5_numbers),E,k6_domain_1(k4_ordinal1,1))) = k1_nat_1(B,1) & k1_funct_1(E,D) = 1 ) ) ) )).
fof(fraenkel_a_3_0_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_finset_1(B) & v3_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_0_card_lar(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(E,D) & r2_tarski(C,E) ) ) ) )).
fof(fraenkel_a_3_0_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_cat_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & A = E & k3_graph_1(B,E) = C & k4_graph_1(B,E) = D ) ) ) )).
fof(fraenkel_a_3_0_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_cat_6(B) & m1_subset_1(C,k6_cat_6(B)) & m1_subset_1(D,k6_cat_6(B)) ) => ( r2_hidden(A,a_3_0_cat_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_cat_6(B)) & A = E & ? [F] : ( m1_subset_1(F,k1_cat_6(B)) & ? [G] : ( m1_subset_1(G,k1_cat_6(B)) & C = F & D = G & r1_cat_6(B,E,F) & r1_cat_6(B,G,E) ) ) ) ) ) )).
fof(fraenkel_a_3_0_catalan2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_catalan2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_catalan2(k4_ordinal1)) & A = E & r2_tarski(E,k2_catalan2(B,C)) & k2_nat_1(2,k1_nat_1(D,1)) = k3_nat_1(a_1_4_catalan2(E)) ) ) ) )).
fof(fraenkel_a_3_0_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(B) & v1_xreal_0(C) & v1_xcmplx_0(D) ) => ( r2_hidden(A,a_3_0_cc0sp2(B,C,D)) <=> ? [E] : ( v1_xcmplx_0(E) & A = E & ~ r1_xxreal_0(k7_xcmplx_0(C,k9_complex1(B)),k9_complex1(k6_xcmplx_0(E,D))) ) ) ) )).
fof(fraenkel_a_3_0_cfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_cfdiff_1(B,C,D)) <=> ? [E] : ( v1_xcmplx_0(E) & A = E & ~ r1_xxreal_0(k3_xxreal_0(C,D),k9_complex1(k6_xcmplx_0(E,B))) ) ) ) )).
fof(fraenkel_a_3_0_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v3_ordinal1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_0_cgames_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(k5_relat_1(B,C),D))))) & m1_subset_1(F,k1_zfmisc_1(k3_tarski(k10_xtuple_0(k5_relat_1(k5_relat_1(B,C),D))))) & A = g1_cgames_1(E,F) ) ) ) )).
fof(fraenkel_a_3_0_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_finseq_2(D,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_3_0_chain_1(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & A = E & ~ ( ~ ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(B)) => ( r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(E,F)) & r1_xxreal_0(k1_funct_1(E,F),k1_funct_1(D,F)) ) ) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(B)) => ~ ( ~ r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(D,F)) & ( r1_xxreal_0(k1_funct_1(E,F),k1_funct_1(D,F)) | r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(E,F)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_glib_000(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k6_glib_000(B))) ) => ( r2_hidden(A,a_3_0_chord(B,C,D)) <=> ? [E] : ( v5_glib_001(E,B) & m3_glib_001(E,B) & A = k3_finseq_1(E) & r2_tarski(k3_glib_001(B,E),C) & r2_tarski(k4_glib_001(B,E),D) ) ) ) )).
fof(fraenkel_a_3_0_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_circled1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_circuit1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(B,k5_msafree2(B,C)),D)) & A = k4_card_1(E) ) ) ) )).
fof(fraenkel_a_3_0_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_circuit2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_dtconstr(k5_msafree(B,C))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(C,D)) & E = k1_trees_4(k4_tarski(F,D)) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = D ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & ~ v1_xboole_0(D) & v1_pdiff_7(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_euclid(B))) ) => ( r2_hidden(A,a_3_0_ckspace1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_numbers))) & A = E & r1_ckspace1(B,E,C,D) & k1_relset_1(k1_euclid(B),E) = D ) ) ) )).
fof(fraenkel_a_3_0_classes1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_0_classes1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_classes1(B)) & A = E & ? [F] : ( m1_subset_1(F,k1_classes1(B)) & r2_tarski(F,k1_funct_1(C,D)) & r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_3_0_classes2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_0_classes2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_classes1(B)) & A = E & ? [F] : ( m1_subset_1(F,k1_classes1(B)) & r2_tarski(F,k1_funct_1(C,D)) & r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_3_0_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_clopban1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_clopban1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_normsp_0(C,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E)) & r1_xxreal_0(k2_normsp_0(B,E),1) ) ) ) )).
fof(fraenkel_a_3_0_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)) & v7_closure2(D,u1_struct_0(B),C) & v8_closure2(D,u1_struct_0(B),C) & v9_closure2(D,u1_struct_0(B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)))) ) => ( r2_hidden(A,a_3_0_closure2(B,C,D)) <=> ? [E] : ( m1_closure2(E,u1_struct_0(B),C,k6_closure2(u1_struct_0(B),C)) & A = E & r6_pboole(u1_struct_0(B),k7_closure2(u1_struct_0(B),C,D,E),E) ) ) ) )).
fof(fraenkel_a_3_0_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( r2_hidden(A,a_3_0_closure3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) & A = k2_closure3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_clvect_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r2_tarski(F,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_clvect_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k11_csspace(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_0_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,a_3_0_cohsp_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(D)) & A = E & r2_tarski(C,k1_funct_1(B,E)) ) ) ) )).
fof(fraenkel_a_3_0_collsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_collsp(B) & v3_collsp(B) & l1_collsp(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_collsp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_collsp(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_compl_sp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_nat_1(u1_struct_0(B),C,E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_compos_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_compos_0(B) & v2_compos_0(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_3_0_compos_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_compos_0(B,k5_compos_0(B,C))) & A = k1_funct_1(E,D) ) ) ) )).
fof(fraenkel_a_3_0_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_0_compos_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,C) & r2_tarski(E,k9_xtuple_0(D)) ) ) ) )).
fof(fraenkel_a_3_0_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(D) & v1_comput_1(D) & m1_rfunct_3(D,B,C) ) => ( r2_hidden(A,a_3_0_comput_1(B,C,D)) <=> ? [E] : ( m2_rfunct_3(E,B,C,D) & A = k1_relset_1(B,E) ) ) ) )).
fof(fraenkel_a_3_0_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) & m3_conlat_1(D,B,C) ) => ( r2_hidden(A,a_3_0_conlat_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ( r2_tarski(F,u3_conlat_1(B,D)) => r1_conlat_1(B,E,F) ) ) ) ) ) )).
fof(fraenkel_a_3_0_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_0_conlat_2(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(F,k1_zfmisc_1(u4_struct_0(C))) & m1_subset_1(G,u1_struct_0(B)) & A = k4_tarski(g2_conlat_1(C,E,F),G) & ~ v4_conlat_1(g2_conlat_1(C,E,F),C) & v6_conlat_1(g2_conlat_1(C,E,F),C) & l2_conlat_1(g2_conlat_1(C,E,F),C) & G = k15_lattice3(B,a_4_5_conlat_2(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_0_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_0_convex2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k9_subset_1(k4_ordinal1,k4_finseq_1(C),k4_finseq_1(D))) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G = k1_funct_1(C,F) & r1_xxreal_0(k1_bhsp_1(B,E,G),k1_funct_1(D,F)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_clvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xcmplx_0(D) ) => ( r2_hidden(A,a_3_0_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_clvect_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_0_cqc_lang(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k5_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_0_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k4_ordinal1) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_0_cqc_sim1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k4_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_0_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_0_cqc_the3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_0_csspace4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) & v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_csspace4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k2_normsp_0(C,k3_funct_2(B,u1_struct_0(C),D,E)) ) ) ) )).
fof(fraenkel_a_3_0_dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_dblseq_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,1) & r2_tarski(E,k1_relset_1(k4_ordinal1,k2_partfun1(k4_ordinal1,B,C,k6_ordinal1(D)))) ) ) ) )).
fof(fraenkel_a_3_0_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_0_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,D) & A = k7_dickson(C,E) ) ) ) )).
fof(fraenkel_a_3_0_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_0_domain_1(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ( m1_subset_1(E,B) & m1_subset_1(F,C) & m1_subset_1(G,D) & A = k4_domain_1(B,C,D,E,F,G) ) ) ) )).
fof(fraenkel_a_3_0_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_dualsp01(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_dualsp02(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_normsp_0(B,k5_algstr_0(B,E,D)) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_0_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) ) => ( r2_hidden(A,a_3_0_ec_pf_1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k3_zfmisc_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B))),k3_ec_pf_1(k9_int_3(B))) & A = E & k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B))),u1_struct_0(k9_int_3(B)),k5_ec_pf_1(B,C,D),E) = k4_struct_0(k9_int_3(B)) ) ) ) )).
fof(fraenkel_a_3_0_ec_pf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) ) => ( r2_hidden(A,a_3_0_ec_pf_2(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k3_zfmisc_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B))),k3_ec_pf_1(k9_int_3(B))) & A = E & k3_funct_2(k3_zfmisc_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B))),u1_struct_0(k9_int_3(B)),k5_ec_pf_1(B,C,D),E) = k4_struct_0(k9_int_3(B)) ) ) ) )).
fof(fraenkel_a_3_0_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_0_ens_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_ens_1(B)) & A = k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) & r2_tarski(k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E),k2_ens_1(B)) ) ) ) )).
fof(fraenkel_a_3_0_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_eqrel_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B)))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_0_eqrel_1(B,C,D)) <=> ? [E] : ( m1_eqrel_1(E,B) & A = k11_eqrel_1(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & ~ v1_xboole_0(C) & m1_pralg_2(D,C,B) ) => ( r2_hidden(A,a_3_0_equation(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,C) & m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(u3_msualg_1(B,k5_pralg_2(C,B,D,E)),F) ) ) ) )).
fof(fraenkel_a_3_0_euclid10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v2_xxreal_0(D) ) => ( r2_hidden(A,a_3_0_euclid10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))) = D ) ) ) )).
fof(fraenkel_a_3_0_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_0_euclid_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(G,k5_numbers) & ~ r1_xxreal_0(H,k5_numbers) & k2_xcmplx_0(k2_xcmplx_0(F,G),H) = 1 & E = k3_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,F),k1_rlvect_1(k15_euclid(2),C,G)),k1_rlvect_1(k15_euclid(2),D,H)) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_finseq_2(D,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_3_0_euclid_4(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k7_euclid(B,k9_euclid(B,C,k6_xcmplx_0(1,E)),k9_euclid(B,D,E)) ) ) ) )).
fof(fraenkel_a_3_0_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_euclid_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ~ r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C)))) ) ) ) )).
fof(fraenkel_a_3_0_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_subset_1(D,k1_zfmisc_1(k1_euclid(B)),k1_euclidlp(B)) ) => ( r2_hidden(A,a_3_0_euclidlp(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & A = k12_euclid(k8_euclid(B,C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_extens_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(B,C))) & A = k2_trees_4(u1_struct_0(k5_msafree(B,C)),E) & r2_tarski(E,k6_dtconstr(k5_msafree(B,C))) & k2_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_0_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) & m1_subset_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_0_fcont_1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,k6_xcmplx_0(B,k3_xxreal_0(k6_xcmplx_0(B,D),k6_xcmplx_0(C,B)))) & ~ r1_xxreal_0(k2_xcmplx_0(B,k3_xxreal_0(k6_xcmplx_0(B,D),k6_xcmplx_0(C,B))),E) ) ) ) )).
fof(fraenkel_a_3_0_fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) & m1_subset_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_0_fdiff_2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,k6_xcmplx_0(k3_xxreal_0(C,D),1)) & ~ r1_xxreal_0(B,E) ) ) ) )).
fof(fraenkel_a_3_0_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_fdiff_3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k6_xcmplx_0(B,k7_xcmplx_0(C,k1_nat_1(D,1))),E) & r1_xxreal_0(E,B) ) ) ) )).
fof(fraenkel_a_3_0_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_filter_0(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k4_lattices(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_filter_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_lattices(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_xxreal_0(D,k3_funct_2(B,k1_numbers,C,E)) ) ) ) )).
fof(fraenkel_a_3_0_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_0_finseq_2(B,C,D)) <=> ? [E] : ? [F] : ( v3_card_1(E,B) & m2_finseq_1(E,D) & v3_card_1(F,C) & m2_finseq_1(F,D) & A = k8_finseq_1(D,E,F) ) ) ) )).
fof(fraenkel_a_3_0_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_finseq_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(E,k1_relset_1(k4_ordinal1,B)) & r1_xxreal_0(E,D) & r2_tarski(k1_funct_1(B,E),C) ) ) ) )).
fof(fraenkel_a_3_0_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_finseq_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(E,k4_finseq_1(B)) & r1_xxreal_0(E,D) & r2_tarski(k1_funct_1(B,E),k1_tarski(C)) ) ) ) )).
fof(fraenkel_a_3_0_fintopo5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k2_fintopo4(B))) ) => ( r2_hidden(A,a_3_0_fintopo5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_fintopo4(B))) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k2_fintopo4(B))) & r2_tarski(F,k10_fintopo3(k2_fintopo4(B),C,D)) & r2_tarski(E,k1_fin_topo(k2_fintopo4(B),F)) ) ) ) ) )).
fof(fraenkel_a_3_0_flang_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_flang_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_afinsq_1(B))) & A = E & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,F) & E = k7_flang_1(B,C,F) ) ) ) ) )).
fof(fraenkel_a_3_0_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_fomodel0(B,C,D)) <=> ? [E] : ? [F] : ( v3_card_1(E,C) & m2_finseq_1(E,B) & v3_card_1(F,D) & m2_finseq_1(F,B) & A = k1_monoid_0(B,E,F) ) ) ) )).
fof(fraenkel_a_3_0_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v10_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ( r2_hidden(A,a_3_0_fomodel1(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k3_finseq_2(k15_fomodel1(B)),k3_finseq_2(k3_finseq_2(k15_fomodel1(B)))) & A = k7_finseq_1(k12_finseq_1(k1_fomodel1(B),C),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(B))),k3_finseq_2(k15_fomodel1(B)),k21_fomodel1(B),E)) & r1_tarski(k2_relset_1(k3_finseq_2(k15_fomodel1(B)),E),D) & v3_card_1(E,k1_int_2(k19_fomodel1(B,C))) ) ) ) )).
fof(fraenkel_a_3_0_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m2_subset_1(C,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_fomodel3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & ~ r2_tarski(k1_funct_1(C,D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),E)) ) ) ) )).
fof(fraenkel_a_3_0_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) ) => ( r2_hidden(A,a_3_0_fomodel4(B,C,D)) <=> ? [E] : ? [F] : ( v13_fomodel1(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & v13_fomodel1(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & A = k1_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),E,F) & v9_fomodel4(k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),E),F),B,C,D) ) ) ) )).
fof(fraenkel_a_3_0_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v2_struct_0(D) & l2_fsm_1(D,B,C) ) => ( r2_hidden(A,a_3_0_fsm_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = E & v6_fsm_1(E,B,C,D) ) ) ) )).
fof(fraenkel_a_3_0_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & ~ v2_struct_0(D) & l2_fsm_3(D,B,C) ) => ( r2_hidden(A,a_3_0_fsm_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k8_afinsq_1(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & ? [G] : ( m1_subset_1(G,u1_struct_0(D)) & r2_tarski(F,u1_fsm_3(B,C,D)) & r2_tarski(G,u2_fsm_3(B,C,D)) & r4_rewrite3(B,C,D,F,E,G) ) ) ) ) ) )).
fof(fraenkel_a_3_0_fuznum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_fuznum_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_xxreal_0(D,k1_funct_1(C,E)) ) ) ) )).
fof(fraenkel_a_3_0_fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v1_realset2(B) & l6_algstr_0(B) & m1_fvaluat1(C,B) & m1_subset_1(D,u1_struct_0(k7_fvaluat1(B,C))) ) => ( r2_hidden(A,a_3_0_fvaluat1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k7_fvaluat1(B,C))) & A = k8_group_1(k7_fvaluat1(B,C),D,E) ) ) ) )).
fof(fraenkel_a_3_0_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_goboard2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),E) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)))) ) ) ) )).
fof(fraenkel_a_3_0_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_0_goboard5(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_0_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_0_goboard6(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1))),F) ) ) ) )).
fof(fraenkel_a_3_0_goboard7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_0_goboard7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = k17_euclid(C) & r1_xxreal_0(k18_euclid(B),k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_3_0_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_0_gobrd11(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_0_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_gobrd12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),D)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_3_0_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_0_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),F) ) ) ) )).
fof(fraenkel_a_3_0_gobrd14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k14_euclid(2))) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_3_0_gobrd14(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_metric_1(k14_euclid(2),B,D),C),1),k12_euclid(E)) ) ) ) )).
fof(fraenkel_a_3_0_goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_goedcpuc(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_qc_lang1(k5_goedcpuc(B,D))) & A = E & k7_qc_lang1(k5_goedcpuc(B,D),E) = C ) ) ) )).
fof(fraenkel_a_3_0_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_graph_1(C,B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_graph_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_3_0_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m1_subset_1(C,u1_struct_0(B)) & m2_finseq_2(D,u4_struct_0(B),k9_graph_3(B)) ) => ( r2_hidden(A,a_3_0_graph_3(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,u4_struct_0(B),k9_graph_3(B)) & A = E & k10_xtuple_0(E) = k10_xtuple_0(D) & ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & r1_graph_2(B,F,E) & k1_funct_1(F,1) = C ) ) ) ) )).
fof(fraenkel_a_3_0_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & v7_graph_1(C,B) & m2_graph_1(C,B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_graph_4(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_3_0_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_graph_5(B,C,D)) <=> ? [E] : ( v7_graph_1(E,B) & m2_graph_1(E,B) & A = E & r1_graph_5(B,E,C,D) ) ) ) )).
fof(fraenkel_a_3_0_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m2_finseq_2(D,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( r2_hidden(A,a_3_0_graphsp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r2_tarski(E,k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(C),k18_graphsp(C))),B),D))) & r1_xxreal_0(1,E) & r1_xxreal_0(E,C) & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(C),k18_graphsp(C))),B),D),E) = k4_xcmplx_0(1) ) ) ) )).
fof(fraenkel_a_3_0_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_0_groeb_1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & A = E & ? [F] : ( m1_subset_1(F,D) & F = k1_groeb_1(B,C,E) ) ) ) ) )).
fof(fraenkel_a_3_0_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(C,C)) & v1_group_10(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(C,C)))) ) => ( r2_hidden(A,a_3_0_group_10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r1_group_10(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_group_11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_group_2(D,B) ) => ( r2_hidden(A,a_3_0_group_11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k13_group_2(B,D,E),C) ) ) ) )).
fof(fraenkel_a_3_0_group_18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) & v15_algstr_0(C) & v1_group_3(C,B) & m1_group_2(C,B) & ~ v2_struct_0(D) & v8_struct_0(D) & v15_algstr_0(D) & v2_group_1(D) & v3_group_1(D) & v5_group_1(D) & l3_algstr_0(D) ) => ( r2_hidden(A,a_3_0_group_18(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),u1_struct_0(k5_group_6(B,C)),k8_group_6(B,C),E) = k1_group_1(D) ) ) ) )).
fof(fraenkel_a_3_0_group_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_group_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k6_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_group_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_group_3(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k2_group_3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_group_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_group_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k2_group_5(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_group_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_group_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k1_group_1(C) ) ) ) )).
fof(fraenkel_a_3_0_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_0_group_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = E & ? [F] : ( v2_group_9(F,B) & m1_group_9(F,B,C) & E = u1_struct_0(F) & r1_tarski(D,k15_group_9(B,C,F)) ) ) ) ) )).
fof(fraenkel_a_3_0_hahnban,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_0_hahnban(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(C,F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_henmodel,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( r2_hidden(A,a_3_0_henmodel(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r2_hidden(D,k8_nat_1(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_0_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m2_funct_2(D,k7_normform(B),k1_heyting1(B),k9_funct_2(k7_normform(B),k1_heyting1(B))) ) => ( r2_hidden(A,a_3_0_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k3_funct_2(k7_normform(B),k1_heyting1(B),D,E) & r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),D,E),k3_domain_1(k5_finsub_1(B),k5_finsub_1(B),E)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_3_0_heyting2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(k1_heyting2(B,C,D),C)) & A = E & ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ~ ( r2_tarski(F,D) & r1_partfun1(E,F) ) ) ) ) ) )).
fof(fraenkel_a_3_0_heyting3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) => ( r2_hidden(A,a_3_0_heyting3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(B,C)) & A = E & v1_finset_1(E) & ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ( ( r2_tarski(F,D) & r1_tarski(F,E) ) <=> F = E ) ) ) ) ) )).
fof(fraenkel_a_3_0_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_ideal_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,k8_group_1(B,C,E),k8_group_1(B,D,F)) ) ) ) )).
fof(fraenkel_a_3_0_int_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v1_vectsp_2(B) & v1_int_3(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_int_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & E = k3_rlvect_1(B,k8_group_1(B,F,C),k8_group_1(B,G,D)) ) ) ) ) ) )).
fof(fraenkel_a_3_0_integra2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) ) => ( r2_hidden(A,a_3_0_integra2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_xcmplx_0(B,E) & r2_hidden(E,k1_rvsum_1(D)) ) ) ) )).
fof(fraenkel_a_3_0_integra6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v9_ordinal1(C) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_integra6(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(B,E) & r1_xxreal_0(E,k2_xcmplx_0(B,k1_funct_1(C,D))) ) ) ) )).
fof(fraenkel_a_3_0_interva1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_0_interva1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r1_tarski(C,E) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_jct_misc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C)))) ) => ( r2_hidden(A,a_3_0_jct_misc(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,E,F) & v3_pre_topc(E,B) & v3_pre_topc(F,C) & r1_tarski(k3_borsuk_1(B,C,E,F),D) ) ) ) )).
fof(fraenkel_a_3_0_jgraph_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_0_jgraph_1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(B),D,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_0_jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_jgraph_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(B),C,E))) ) ) ) )).
fof(fraenkel_a_3_0_jgraph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_jgraph_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(k7_partfun1(u1_struct_0(k3_topmetr),C,E),D) ) ) ) )).
fof(fraenkel_a_3_0_jgraph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_jgraph_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & ~ r1_xxreal_0(B,k1_metric_1(C,D,E)) ) ) ) )).
fof(fraenkel_a_3_0_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_jgraph_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))) = D ) ) ) )).
fof(fraenkel_a_3_0_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k14_euclid(2))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_jordan1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) & A = E & ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(D,B),2),k3_metric_1(k14_euclid(2),C,E)) ) ) ) )).
fof(fraenkel_a_3_0_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan10(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),D,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k1_nat_1(D,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k7_nat_d(k3_finseq_1(k1_jordan8(C,B)),1)))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k1_nat_1(k7_nat_d(k3_finseq_1(k1_jordan8(C,B)),1),1))),F) ) ) ) )).
fof(fraenkel_a_3_0_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,D))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(D,1))),F) ) ) ) )).
fof(fraenkel_a_3_0_jordan14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan14(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,D))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(D,1))),F) ) ) ) )).
fof(fraenkel_a_3_0_jordan16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_0_jordan16(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_jordan6(B,C,E) & r1_jordan6(B,E,D) ) ) ) )).
fof(fraenkel_a_3_0_jordan1b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan1b(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,D)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_3_0_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan1d(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k7_nat_d(k3_finseq_1(k1_jordan8(C,B)),1),1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k3_finseq_1(k1_jordan8(C,B)),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,D)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_3_0_jordan1i,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan1i(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,D))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(D,1))),F) ) ) ) )).
fof(fraenkel_a_3_0_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_jordan20(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ? [F] : ( v1_xreal_0(F) & r1_xxreal_0(k5_numbers,F) & ~ r1_xxreal_0(D,F) & E = k1_funct_1(C,F) ) ) ) ) )).
fof(fraenkel_a_3_0_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_jordan2b(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ r1_xxreal_0(C,k7_partfun1(k1_numbers,E,D)) ) ) ) )).
fof(fraenkel_a_3_0_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_0_jordan2c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & E != D & r2_tarski(E,C) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(B))))) ) => ~ ( v5_pre_topc(F,k5_topmetr,k15_euclid(B)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(B)),F),C) & k1_funct_1(F,k5_numbers) = D & k1_funct_1(F,1) = E ) ) ) ) ) )).
fof(fraenkel_a_3_0_jordan3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),B,C,D),E) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),B,C,D))) ) ) ) )).
fof(fraenkel_a_3_0_jordan4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_jordan4(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),B,C,D),E) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),B,C,D))) ) ) ) )).
fof(fraenkel_a_3_0_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_0_jordan5a(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(B),D,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_0_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_0_jordan7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_jordan6(B,C,E) & r1_jordan6(B,E,D) ) ) ) )).
fof(fraenkel_a_3_0_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_0_jordan8(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_0_jordan9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_0_jordan9(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),C))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_0_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_0_jordan_a(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_jordan6(B,C,E) & r1_jordan6(B,E,D) ) ) ) )).
fof(fraenkel_a_3_0_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_laplace(B,C,D)) <=> ? [E] : ( m1_matrix_1(E,k9_matrix_1(k1_nat_1(B,1))) & A = E & k1_funct_1(E,C) = D ) ) ) )).
fof(fraenkel_a_3_0_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_lattices(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_lattice4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_lattice4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,k4_lattices(B,F,G),E) & r2_tarski(F,k2_filter_0(B,D)) & r2_tarski(G,C) ) ) ) ) ) )).
fof(fraenkel_a_3_0_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_lattice5(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ? [H] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k5_domain_1(B,B,u1_struct_0(C),u1_struct_0(C),E,F,G,H) & r3_orders_2(C,k3_lattice5(B,C,D,E,F),k13_lattice3(C,G,H)) ) ) ) )).
fof(fraenkel_a_3_0_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_lattice6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r2_tarski(E,C) & r3_lattices(B,E,D) ) ) ) )).
fof(fraenkel_a_3_0_lattice7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v8_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_lattice7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r2_orders_2(B,E,C) & ~ r3_orders_2(B,E,D) ) ) ) )).
fof(fraenkel_a_3_0_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_yellow_0(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_lattice8(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ? [H] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k5_domain_1(B,B,u1_struct_0(C),u1_struct_0(C),E,F,G,H) & r3_orders_2(C,k3_lattice5(B,C,D,E,F),k13_lattice3(C,G,H)) ) ) ) )).
fof(fraenkel_a_3_0_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,C) & r3_lattices(B,k4_lattices(B,D,F),E) ) ) ) ) )).
fof(fraenkel_a_3_0_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( r2_hidden(A,a_3_0_lexbfs(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(C,D,E) & r1_xxreal_0(B,E) & r1_xxreal_0(E,k1_nat_1(B,k5_numbers)) ) ) ) )).
fof(fraenkel_a_3_0_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v9_waybel_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_lfuzzy_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v9_waybel_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_lfuzzy_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_lmod_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_6(D,B,C) ) => ( r2_hidden(A,a_3_0_lmod_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_0_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_lopban_1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_lopban_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_normsp_0(C,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E)) & r1_xxreal_0(k2_normsp_0(B,E),1) ) ) ) )).
fof(fraenkel_a_3_0_lopban_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_lopban_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_0_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_0_lpspacc1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) & A = E & ? [F] : ( m2_subset_1(F,k1_zfmisc_1(B),C) & k12_supinf_2(D,F) = k5_numbers & k1_relset_1(B,E) = k3_subset_1(B,F) & r2_mesfun6c(B,C,D,E) ) ) ) ) )).
fof(fraenkel_a_3_0_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_0_lpspace1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = E & ? [F] : ( m2_subset_1(F,k1_zfmisc_1(B),C) & k3_funct_2(C,k6_numbers,D,F) = k5_numbers & k1_relset_1(B,E) = k3_subset_1(B,F) & r3_mesfunc6(B,C,D,E) ) ) ) ) )).
fof(fraenkel_a_3_0_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_0_lpspace2(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = E & ? [F] : ( m2_subset_1(F,k1_zfmisc_1(B),C) & k1_funct_1(D,k3_subset_1(B,F)) = k5_numbers & k1_relset_1(B,E) = F & r1_mesfunc6(B,C,E,F) & r3_mesfunc6(B,C,D,k2_mesfun6c(1,B,k56_valued_1(B,k1_numbers,E))) ) ) ) ) )).
fof(fraenkel_a_3_0_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(C),k2_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C),k2_finseq_1(B)))) ) => ( r2_hidden(A,a_3_0_matrix11(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(k2_finseq_1(C),k1_tarski(k1_nat_1(C,1))),k2_finseq_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_finseq_1(C),k1_tarski(k1_nat_1(C,1))),k2_finseq_1(B)))) & A = E & k2_partfun1(k2_xboole_0(k2_finseq_1(C),k1_tarski(k1_nat_1(C,1))),k2_finseq_1(B),E,k2_finseq_1(C)) = D ) ) ) )).
fof(fraenkel_a_3_0_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_matrix15(B,C,D)) <=> ? [E] : ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) & A = E & k3_finseq_1(E) = k1_matrix_0(C) & k1_matrix_0(E) = k1_matrix_0(D) & k4_matrix_3(B,C,E) = D ) ) ) )).
fof(fraenkel_a_3_0_matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k5_finsub_1(k9_matrix_1(B))) & m1_matrix_1(D,k9_matrix_1(B)) ) => ( r2_hidden(A,a_3_0_matrix_7(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_finseq_1(B),k2_finseq_1(B)) & v3_funct_2(E,k2_finseq_1(B),k2_finseq_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B),k2_finseq_1(B)))) & A = k2_funct_2(k2_finseq_1(B),E) & r2_tarski(E,k2_xboole_0(C,k1_tarski(D))) ) ) ) )).
fof(fraenkel_a_3_0_matroid0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & l1_vectsp_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_0_matroid0(B,C,D)) <=> ? [E] : ( m2_vectsp_6(E,B,C,D) & A = k4_vectsp_6(B,C,E) ) ) ) )).
fof(fraenkel_a_3_0_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_matrtop1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,D) & r2_tarski(E,k9_xtuple_0(k5_relat_1(C,B))) ) ) ) )).
fof(fraenkel_a_3_0_mazurulm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_mazurulm(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & A = k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),E,k1_rlvect_1(B,k3_rlvect_1(B,C,D),k6_xxreal_3(1,2))),k1_rlvect_1(B,k3_rlvect_1(B,C,D),k6_xxreal_3(1,2)))) & r2_tarski(E,a_3_1_mazurulm(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_0_mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(B,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(B,k1_numbers)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_mesfun9c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_relset_1(B,k4_mesfunc5(B,k1_numbers,C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_0_mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_mesfunc8(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_nat_1(k9_setfam_1(B),C,E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(B,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(B,k6_numbers)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_mesfunc9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_relset_1(B,k4_mesfunc5(B,k6_numbers,C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_0_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k1_metric_1(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_0_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,k2_metric_2(B)) & m1_subset_1(D,k2_metric_2(B)) ) => ( r2_hidden(A,a_3_0_metric_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_numbers) & A = E & r4_metric_2(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_metrizts(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_pcomps_1(B))) & A = E & ~ r1_xxreal_0(D,k3_funct_2(u1_struct_0(k3_pcomps_1(B)),u1_struct_0(k3_topmetr),k6_weierstr(B,C),E)) ) ) ) )).
fof(fraenkel_a_3_0_mfold_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & v1_mfold_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B))))) ) => ( r2_hidden(A,a_3_0_mfold_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k1_tops_1(B,E) & r2_tarski(E,k2_relset_1(k1_zfmisc_1(u1_struct_0(B)),k2_partfun1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B)),D,C))) ) ) ) )).
fof(fraenkel_a_3_0_mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & m1_pre_topc(C,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_0_mfold_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = k12_euclid(E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_mfold_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_0_mfold_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & k22_rvsum_1(C,k5_algstr_0(k15_euclid(B),E,D)) = k5_numbers ) ) ) )).
fof(fraenkel_a_3_0_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_0_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k1_mmlquery(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & m2_finseq_1(C,k4_ordinal1) & m1_trees_1(D,k4_trees_1(B,C)) ) => ( r2_hidden(A,a_3_0_modal_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_finseq_1(k4_ordinal1,D,k14_trees_3(E)) & r2_tarski(k8_finseq_1(k4_ordinal1,D,k14_trees_3(E)),k4_trees_1(B,C)) ) ) ) )).
fof(fraenkel_a_3_0_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_modelc_1(B) & l2_modelc_1(B) & v1_funct_1(C) & v1_funct_2(C,k18_modelc_1,u3_modelc_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_modelc_1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k12_modelc_1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(B)))) & A = E & r2_modelc_1(B,C,E,D) ) ) ) )).
fof(fraenkel_a_3_0_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_modelc_2(B) & l1_modelc_2(B) & v1_funct_1(C) & v1_funct_2(C,k15_modelc_2,u1_modelc_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_modelc_2(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_modelc_2,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(B)))) & A = E & r5_modelc_2(B,C,E,D) ) ) ) )).
fof(fraenkel_a_3_0_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r2_tarski(F,D) => r2_tarski(k5_algstr_0(B,E,F),C) ) ) ) ) ) )).
fof(fraenkel_a_3_0_msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_msafree(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k4_dtconstr(k5_msafree(B,C))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(C,D)) & E = k1_trees_4(k4_tarski(F,D)) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = D ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_msafree4(B,C,D)) <=> ? [E] : ( m1_msafree4(E,u1_struct_0(B),k4_equation(B),k1_msafree4(u1_struct_0(B),k4_equation(B),D)) & A = E & r1_equation(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) ) => ( r2_hidden(A,a_3_0_msafree5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u4_struct_0(B)) & m1_msafree4(F,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,C))),k3_msualg_1(B,E,k1_msafree3(B,C))) & A = k7_msafree5(B,C,E,F) & r1_msafree5(B,D,k7_msafree5(B,C,E,F)) & k1_msualg_1(B,E) = k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_0_msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_msscyc_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),D)) & A = E & k8_msafree2(B,C,D,E) = k5_numbers ) ) ) )).
fof(fraenkel_a_3_0_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_msscyc_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),D)) & A = E & r1_xxreal_0(k8_msafree2(B,C,D,E),k5_numbers) ) ) ) )).
fof(fraenkel_a_3_0_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)))) ) => ( r2_hidden(A,a_3_0_msualg_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)))) & A = E & v2_msualg_4(E,B,C) & v3_msualg_4(E,B,C) & m1_msualg_4(E,u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)) & r3_lattices(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)),D,E) ) ) ) )).
fof(fraenkel_a_3_0_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_eqrel_1(C,B) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_0_mycielsk(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = k9_subset_1(B,E,D) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_0_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_nagata_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_0_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k1_numbers))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_nagata_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k1_numbers,k3_nagata_2(u1_struct_0(B),C,D),E) = k5_numbers ) ) ) )).
fof(fraenkel_a_3_0_ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_ncfcont1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_0_ndiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_ndiff_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_0_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_ndiff_5(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,C,k1_rlvect_1(B,k5_algstr_0(B,D,C),E)) & ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(1,E) ) ) ) )).
fof(fraenkel_a_3_0_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_lopban_1(D,B,C) & v2_lopban_1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_ndiff_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_normsp_0(C,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E)) & r1_xxreal_0(k2_normsp_0(B,E),1) ) ) ) )).
fof(fraenkel_a_3_0_neckla_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_neckla_2(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k3_neckla_2,k4_neckla_2) & A = E & ? [F] : ( v1_orders_2(F) & l1_orders_2(F) & ? [G] : ( v1_orders_2(G) & l1_orders_2(G) & r1_xboole_0(u1_struct_0(F),u1_struct_0(G)) & r2_tarski(F,k1_funct_1(B,k5_nat_1(C,D))) & r2_tarski(G,k1_funct_1(B,k5_nat_1(C,D))) & ( E = k1_neckla_2(F,G) | E = k2_neckla_2(F,G) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_neckla_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v1_necklace(B) & v3_necklace(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v2_struct_0(D) & l1_orders_2(D) ) => ( r2_hidden(A,a_3_0_neckla_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = E & r2_tarski(k1_domain_1(u1_struct_0(D),u1_struct_0(B),E,C),u1_orders_2(B)) ) ) ) )).
fof(fraenkel_a_3_0_nfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_nfcont_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_0_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & m1_subset_1(D,k1_euclid(B)) ) => ( r2_hidden(A,a_3_0_nfcont_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_euclid(B)) & A = E & ~ r1_xxreal_0(C,k12_euclid(k8_euclid(B,E,D))) ) ) ) )).
fof(fraenkel_a_3_0_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m1_subset_1(D,k5_finsub_1(k7_normform(B))) ) => ( r2_hidden(A,a_3_0_normform(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m2_subset_1(F,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(C,k2_normsp_0(B,k5_algstr_0(B,D,E))) ) ) ) )).
fof(fraenkel_a_3_0_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_rlsub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_normsp_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_normsp_0(B,E) & r2_tarski(E,k3_rlsub_1(B,D,C)) ) ) ) )).
fof(fraenkel_a_3_0_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & v3_ordinal1(C) & v4_ordinal1(C) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_classes2(D) ) => ( r2_hidden(A,a_3_0_ordinal6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(D),C))) & A = k1_funct_1(k1_funct_1(k5_relat_1(k11_ordinal6(D),C),E),B) & r2_tarski(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(D),C))) ) ) ) )).
fof(fraenkel_a_3_0_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_osafree(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & A = E & ~ ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ~ ( r3_orders_2(B,F,D) & r2_hidden(G,k1_funct_1(C,F)) & E = k1_trees_4(k4_tarski(G,F)) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & r3_orders_2(B,k2_msualg_1(B,F),D) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v12_osalg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_osalg_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_msualg_2(B,C,E) & r3_orders_2(B,E,D) ) ) ) )).
fof(fraenkel_a_3_0_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),k2_osalg_4(B)) ) => ( r2_hidden(A,a_3_0_osalg_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_funct_1(C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(C,B) ) => ( r2_hidden(A,a_3_0_partit1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_pcomps_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_pcomps_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_0_pdiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_pdiff_6(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & A = E & ~ r1_xxreal_0(D,k12_euclid(k8_euclid(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_0_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_pdiff_7(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & A = E & ~ r1_xxreal_0(D,k12_euclid(k8_euclid(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_0_pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_pdiff_9(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & A = E & ~ r1_xxreal_0(D,k12_euclid(k8_euclid(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_0_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v15_pencil_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_pencil_1(B,C)))) ) => ( r2_hidden(A,a_3_0_pencil_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_pencil_1(B,C)))) & A = E & ~ v1_zfmisc_1(E) & v2_pencil_1(E,k5_pencil_1(B,C)) & v1_pencil_1(E,k5_pencil_1(B,C)) & r1_pencil_2(k5_pencil_1(B,C),D,E) ) ) ) )).
fof(fraenkel_a_3_0_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( r2_hidden(A,a_3_0_pencil_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & k1_funct_1(C,E) != k1_funct_1(D,E) ) ) ) )).
fof(fraenkel_a_3_0_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & v3_petri_2(B) & l1_petri_2(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_petri(C) & v3_petri(C) & v3_petri_2(C) & l1_petri_2(C) & v1_funct_1(D) & v1_funct_2(D,k8_petri_2(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_petri_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & A = k9_funct_2(k2_petri_2(u1_petri_2(B),k8_petri(B,k6_domain_1(u4_struct_0(B),E))),k2_petri_2(u1_petri_2(B),k1_relset_2(k8_petri_2(B),u1_struct_0(C),D,E))) & v2_petri_2(E,B) ) ) ) )).
fof(fraenkel_a_3_0_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v5_orders_3(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_poset_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( v7_ordinal1(F) & E = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,F),D) ) ) ) ) )).
fof(fraenkel_a_3_0_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l1_msualg_1(C) & m1_pralg_2(D,B,C) ) => ( r2_hidden(A,a_3_0_pralg_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k6_pralg_2(C,k5_pralg_2(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_0_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_pralg_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & A = k1_pralg_3(B,C,E) & k2_msualg_1(B,E) = D & k1_msualg_1(B,E) = k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_0_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_trees_1(C) & m1_trees_1(D,B) ) => ( r2_hidden(A,a_3_0_pre_circ(B,C,D)) <=> ? [E] : ( m1_trees_1(E,C) & A = k8_finseq_1(k4_ordinal1,D,E) ) ) ) )).
fof(fraenkel_a_3_0_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_3_0_prob_3(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),C) & A = E & r2_tarski(k6_subset_1(D,E),C) & r2_tarski(k7_subset_1(B,E,D),C) & r2_tarski(k8_subset_1(B,E,D),C) ) ) ) )).
fof(fraenkel_a_3_0_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m2_finseq_1(C,k2_qc_lang1(B)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_qc_lang1(B))) ) => ( r2_hidden(A,a_3_0_qc_lang3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(C,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,E),D) ) ) ) )).
fof(fraenkel_a_3_0_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_subset_1(D,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_3_0_qc_lang4(B,C,D)) <=> ? [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(B,C))) & A = E & k3_trees_2(k9_qc_lang1(B),k2_qc_lang4(B,C),E) = D ) ) ) )).
fof(fraenkel_a_3_0_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_hidden(A,a_3_0_random_3(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_numbers),k12_prob_1) & A = E & m2_subset_1(k8_relset_1(B,k1_numbers,D,E),k1_zfmisc_1(B),C) ) ) ) )).
fof(fraenkel_a_3_0_rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_0_rcomp_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_xboole_0(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_relat_1(D) ) => ( r2_hidden(A,a_3_0_relset_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = k7_relat_1(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(B),k8_afinsq_1(B)))) & m1_subset_1(D,k8_afinsq_1(B)) ) => ( r2_hidden(A,a_3_0_rewrite2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k8_afinsq_1(B)) & A = E & r3_rewrite2(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_ring_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v1_ideal_1(C,B) & v2_ideal_1(C,B) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_ring_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,k6_algstr_0(B,D,E),F) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_0_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_rlaffin1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_rlaffin1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_rlaffin2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r1_tarski(E,D) & ? [F] : ( r2_tarski(F,k3_convex1(B,C)) & r2_tarski(F,k1_rlaffin2(B,E)) ) ) ) ) )).
fof(fraenkel_a_3_0_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) ) => ( r2_hidden(A,a_3_0_rlaffin3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & r2_tarski(k16_finseq_1(C,E),D) ) ) ) )).
fof(fraenkel_a_3_0_rlsub_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_rlsub_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r2_tarski(F,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_0_rlsub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(C,F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_rusub_4(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_xreal_0(C) & m1_rlvect_2(D,B) ) => ( r2_hidden(A,a_3_0_rlvect_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k1_numbers,k8_rlvect_2(B,C,D),E) != k5_numbers ) ) ) )).
fof(fraenkel_a_3_0_rlvect_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlvect_3(C,B) & m2_finseq_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_rlvect_5(B,C,D)) <=> ? [E] : ( m2_rlvect_2(E,B,C) & A = k3_rlvect_2(B,E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r2_tarski(F,k4_finseq_1(D)) & k6_rlvect_2(B,E) = k1_funct_1(D,F) ) ) ) ) )).
fof(fraenkel_a_3_0_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_4(D,B,C) ) => ( r2_hidden(A,a_3_0_rmod_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_0_roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_roughs_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),u1_orders_2(B),E),k9_subset_1(u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_3_0_rsspace4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_rsspace4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k2_normsp_0(C,k3_funct_2(B,u1_struct_0(C),D,E)) ) ) ) )).
fof(fraenkel_a_3_0_rusub_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_rusub_1(D,B) ) => ( r2_hidden(A,a_3_0_rusub_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) ) => ( r2_hidden(A,a_3_0_rusub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r1_struct_0(C,E) & r1_struct_0(D,F) ) ) ) )).
fof(fraenkel_a_3_0_rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ( r2_hidden(A,a_3_0_rusub_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_hidden(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_rusub_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_rvsum_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_rvsum_3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r2_tarski(E,k4_finseq_1(k7_rvsum_3(B,C,D,k1_rvsum_3(B),k6_xcmplx_0(k2_xcmplx_0(k1_funct_1(B,C),k1_funct_1(B,D)),k1_rvsum_3(B))))) & k1_funct_1(k7_rvsum_3(B,C,D,k1_rvsum_3(B),k6_xcmplx_0(k2_xcmplx_0(k1_funct_1(B,C),k1_funct_1(B,D)),k1_rvsum_3(B))),E) != k1_rvsum_3(k7_rvsum_3(B,C,D,k1_rvsum_3(B),k6_xcmplx_0(k2_xcmplx_0(k1_funct_1(B,C),k1_funct_1(B,D)),k1_rvsum_3(B)))) ) ) ) )).
fof(fraenkel_a_3_0_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) ) => ( r2_hidden(A,a_3_0_scmfsa_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(E) & r2_tarski(E,k10_xtuple_0(k1_funct_7(B,C,D))) ) ) ) )).
fof(fraenkel_a_3_0_scmfsa_x,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_scmfsa_x(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,k7_nat_d(k4_card_1(k11_compos_1(k1_scmfsa_2,k12_scmfsa_2(D,C))),1)) & r2_tarski(E,k2_afinsq_1(k5_compos_1(k1_scmfsa_2,B,k7_nat_d(k4_card_1(k11_compos_1(k1_scmfsa_2,k12_scmfsa_2(D,C))),1)))) ) ) ) )).
fof(fraenkel_a_3_0_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => ( r2_hidden(A,a_3_0_scmpds_9(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,E,k7_scmpds_2(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_0_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_scmring3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmring2(B)))) & A = k5_memstr_0(k5_card_1(2),k1_scmring2(B),k2_extpro_1(k5_card_1(2),k1_scmring2(B),k8_scmring2(B,D),E)) & k5_memstr_0(k5_card_1(2),k1_scmring2(B),E) = C ) ) ) )).
fof(fraenkel_a_3_0_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_seq_4(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & A = E & ~ r1_xxreal_0(D,k20_seq_4(k17_seq_4(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_0_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( r2_hidden(A,a_3_0_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(B,E) ) ) ) )).
fof(fraenkel_a_3_0_setlim_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(C)))) ) => ( r2_hidden(A,a_3_0_setlim_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_nat_1(k9_setfam_1(C),D,E) & r1_xxreal_0(B,E) ) ) ) )).
fof(fraenkel_a_3_0_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_sgraph1(C,B) ) => ( r2_hidden(A,a_3_0_sgraph1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(E,u1_struct_0(C)) & r2_tarski(k2_tarski(D,E),u1_sgraph1(C)) ) ) ) )).
fof(fraenkel_a_3_0_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v6_ordinal1(C) & v1_finset_1(C) & v5_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_simplex1(B,C,D)) <=> ? [E] : ( m3_simplex0(E,k4_simplex1(B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),k4_subset_1(u1_struct_0(B),k5_setfam_1(u1_struct_0(B),C),k6_domain_1(u1_struct_0(B),D))))),k4_card_1(C)) & A = E & r1_tarski(k7_relset_1(k1_orders_1(u1_struct_0(B)),u1_struct_0(B),k2_rlaffin2(B),C),E) ) ) ) )).
fof(fraenkel_a_3_0_sppol_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k14_euclid(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_sppol_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(B))) & A = E & ~ r1_xxreal_0(D,k3_metric_1(k14_euclid(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_0_sppol_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_sppol_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = D & r1_xxreal_0(B,k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),C) ) ) ) )).
fof(fraenkel_a_3_0_sprect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_0_sprect_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,D,E) & r1_xxreal_0(B,E) & ~ r1_xxreal_0(C,E) ) ) ) )).
fof(fraenkel_a_3_0_sprect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_0_sprect_3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,D,E) & r1_xxreal_0(B,E) & ~ r1_xxreal_0(C,E) ) ) ) )).
fof(fraenkel_a_3_0_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,C) ) => ( r2_hidden(A,a_3_0_srings_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_tarski(E,k3_tarski(k3_xboole_0(k1_partit1(D),k5_finsub_1(C)))) ) ) ) )).
fof(fraenkel_a_3_0_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_stirl2_1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = E & v2_funct_2(E,k5_card_1(B)) & v1_stirl2_1(E,k1_nat_1(C,1),B) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(B),E,k1_seq_4(k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,E,C))) != k1_seq_4(C) & k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,E,C) = D ) ) ) )).
fof(fraenkel_a_3_0_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & v5_relat_1(D,k3_qc_lang1(B)) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_0_sublemma(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_0_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) => ( r2_hidden(A,a_3_0_substlat(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(B,C)) & A = E & v1_finset_1(E) & ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ( ( r2_tarski(F,D) & r1_tarski(F,E) ) <=> F = E ) ) ) ) ) )).
fof(fraenkel_a_3_0_substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_0_substut2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k4_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_0_t_1topsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_t_1topsp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k8_relset_1(u1_struct_0(B),u1_struct_0(C),D,k6_domain_1(u1_struct_0(C),E)) & r2_tarski(E,k2_relset_1(u1_struct_0(C),D)) ) ) ) )).
fof(fraenkel_a_3_0_tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_tbsp_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,F) & E = k8_nat_1(u1_struct_0(B),C,F) ) ) ) ) )).
fof(fraenkel_a_3_0_tex_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_tex_1(B,C)))) ) => ( r2_hidden(A,a_3_0_tex_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_tex_1(B,C)))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_tex_1(B,C)))) & A = k4_subset_1(u1_struct_0(k3_tex_1(B,C)),E,k9_subset_1(u1_struct_0(k3_tex_1(B,C)),F,D)) & r2_tarski(E,k7_subset_1(k1_zfmisc_1(B),k9_setfam_1(B),a_2_3_tex_1(B,C))) & r2_tarski(F,k7_subset_1(k1_zfmisc_1(B),k9_setfam_1(B),a_2_3_tex_1(B,C))) ) ) ) )).
fof(fraenkel_a_3_0_tex_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_tex_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_tex_4(B,E) & r2_tarski(E,k4_subset_1(u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_3_0_topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k2_topmetr(B,C))) ) => ( r2_hidden(A,a_3_0_topalg_5(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_metric_1(k2_topmetr(B,C),D,k7_xcmplx_0(1,E)) & E != k5_numbers ) ) ) )).
fof(fraenkel_a_3_0_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_topdim_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(B),C,E) & ~ r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_0_topdim_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,E) & ~ r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_topgen_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_topgen_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_pre_topc(C,B) & v1_tops_2(D,B) & v1_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_0_topgen_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k9_subset_1(u1_struct_0(C),E,k2_struct_0(C)) & r2_tarski(E,D) & ~ r1_xboole_0(E,k2_struct_0(C)) ) ) ) )).
fof(fraenkel_a_3_0_topgrp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_group_1(B) & v3_group_1(B) & v3_topgrp_1(B) & v4_topgrp_1(B) & l1_topgrp_1(B) & v1_tops_2(C,B) & v1_yellow_8(C,B,k1_group_1(B)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_tops_1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_topgrp_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F,u1_struct_0(B)) & A = k5_group_2(B,F,E) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_topmetr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & m1_topmetr(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(C)))) ) => ( r2_hidden(A,a_3_0_topmetr(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & v1_xreal_0(F) & A = k8_metric_1(B,E,F) & r2_tarski(E,D) & ~ r1_xxreal_0(F,k5_numbers) & r1_tarski(k8_subset_1(u1_struct_0(B),k8_metric_1(B,E,F),u1_struct_0(C)),D) ) ) ) )).
fof(fraenkel_a_3_0_topreal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_0_topreal1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),D,k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(B),C,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_0_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = B & r1_xxreal_0(C,k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),D) ) ) ) )).
fof(fraenkel_a_3_0_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_pcomps_1(B),k3_pcomps_1(C))))) ) => ( r2_hidden(A,a_3_0_topreal7(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(C)))) & A = k3_borsuk_1(k3_pcomps_1(B),k3_pcomps_1(C),E,F) & r1_tarski(k3_borsuk_1(k3_pcomps_1(B),k3_pcomps_1(C),E,F),D) & v3_pre_topc(E,k3_pcomps_1(B)) & v3_pre_topc(F,k3_pcomps_1(C)) ) ) ) )).
fof(fraenkel_a_3_0_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_0_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(B),E,C))) ) ) ) )).
fof(fraenkel_a_3_0_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k2_topmetr(k5_numbers,1))) ) => ( r2_hidden(A,a_3_0_treal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_topmetr(k5_numbers,1))) & A = E & ~ r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(C,B),k5_xcmplx_0(2)),k3_metric_1(k2_topmetr(k5_numbers,1),D,E)) ) ) ) )).
fof(fraenkel_a_3_0_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & ~ v1_xboole_0(C) & v1_trees_1(C) & m4_trees_1(D,B) ) => ( r2_hidden(A,a_3_0_trees_a(B,C,D)) <=> ? [E] : ? [F] : ( m1_trees_1(E,B) & m1_trees_1(F,C) & A = k8_finseq_1(k4_ordinal1,E,F) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_unialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m5_margrel1(D,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_3_0_unialg_2(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,C,k3_finseq_2(C)) & A = E & k3_finseq_1(E) = k18_margrel1(D) ) ) ) )).
fof(fraenkel_a_3_0_uniform1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_uniform1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r1_xxreal_0(D,F) & E = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,F) ) ) ) ) )).
fof(fraenkel_a_3_0_uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(D,B) & v1_uproots(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_0_uproots(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),D,k12_polynom3(B,k3_polynom5(B,k5_polynom5(B,k4_algstr_0(B,C),k5_struct_0(B)),E),F)) ) ) ) ) )).
fof(fraenkel_a_3_0_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,a_3_0_valued_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,B) & r2_tarski(E,a_2_2_valued_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_0_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) ) => ( r2_hidden(A,a_3_0_vectsp10(B,C,D)) <=> ? [E] : ( m2_vectsp_4(E,B,C,D) & A = E ) ) ) )).
fof(fraenkel_a_3_0_vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(C)) & v13_vectsp_1(D,C,C) & v1_mod_2(D,B,C,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_vectsp11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & ? [F] : ( v7_ordinal1(F) & k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,D,F),E) = k4_struct_0(C) ) ) ) ) )).
fof(fraenkel_a_3_0_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) ) => ( r2_hidden(A,a_3_0_vectsp_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(C)) & m1_subset_1(F,u1_struct_0(C)) & A = k3_rlvect_1(C,F,E) & r1_struct_0(D,F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) & ~ v2_struct_0(C) & l1_vectsp_1(C,B) & m1_vectsp_6(D,B,C) ) => ( r2_hidden(A,a_3_0_vectsp_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_0_vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_0_vectsp_7(B,C,D)) <=> ? [E] : ( m2_vectsp_6(E,B,C,D) & A = k4_vectsp_6(B,C,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_0_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,E) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v4_yellow_0(C,k2_yellow_1(B)) & v7_yellow_0(C,k2_yellow_1(B)) & v4_waybel_0(C,k2_yellow_1(B)) & m1_yellow_0(C,k2_yellow_1(B)) & m1_subset_1(D,u1_struct_0(k2_yellow_1(B))) ) => ( r2_hidden(A,a_3_0_waybel13(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_waybel14(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k13_lattice3(B,E,F) & r2_tarski(E,k1_waybel_3(B,C)) & r2_tarski(F,k1_waybel_3(B,D)) ) ) ) )).
fof(fraenkel_a_3_0_waybel15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v11_waybel_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_waybel15(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_waybel16(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k13_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_waybel17(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_waybel19(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k6_waybel_0(C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v8_waybel_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_0_waybel20(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_domain_1(k1_zfmisc_1(u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)),k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),k2_waybel20(B,C),E),k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),k2_waybel20(B,C),F)) & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),D,E),k3_funct_2(u1_struct_0(B),u1_struct_0(B),D,F)) ) ) ) )).
fof(fraenkel_a_3_0_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_waybel21(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(B)) & v13_waybel_0(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) & m2_subset_1(D,u1_struct_0(k2_yellow_1(B)),C) ) => ( r2_hidden(A,a_3_0_waybel22(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_yellow_1(B))) & A = k6_waybel_0(k2_yellow_1(B),E) & ? [F] : ( m1_subset_1(F,B) & E = k1_tarski(F) & r2_tarski(F,D) ) ) ) ) )).
fof(fraenkel_a_3_0_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_yellow_0(C,B) & v8_yellow_0(C,B) & m1_yellow_0(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_0_waybel23(B,C,D)) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) & A = k1_yellow_0(C,E) & r1_yellow_0(C,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_waybel28(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_waybel_3(C) & v1_yellow16(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) ) => ( r2_hidden(A,a_3_0_waybel29(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & k4_waybel_3(B,C,D,E) != k3_yellow_0(k2_yellow16(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_0_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k1_yellow_1(k7_waybel_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(B))))) & m1_subset_1(D,u1_struct_0(k1_yellow_1(k7_waybel_0(B)))) ) => ( r2_hidden(A,a_3_0_waybel30(B,C,D)) <=> ? [E] : ( m2_subset_1(E,u1_struct_0(k1_yellow_1(k7_waybel_0(B))),C) & A = k3_xboole_0(D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,B) & v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_waybel31(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k4_waybel_0(C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_waybel32(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v2_waybel_0(D,k2_yellow_1(C)) & v13_waybel_0(D,k2_yellow_1(C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(C)))) ) => ( r2_hidden(A,a_3_0_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_waybel_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(B,k2_waybel_0(B,C,D),k2_waybel_0(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_0_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_orders_2(B,k11_lattice3(B,C,E),D) ) ) ) )).
fof(fraenkel_a_3_0_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k11_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_0_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_waybel_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_orders_2(B,C,E) & r1_orders_2(B,D,E) ) ) ) )).
fof(fraenkel_a_3_0_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_0_waybel_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),E,C),D) ) ) ) )).
fof(fraenkel_a_3_0_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_waybel_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_waybel_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v2_waybel_0(D,B) & v13_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_waybel_7(B,C,D)) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_waybel_0(E,B) & v12_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r1_tarski(C,E) & r1_subset_1(E,D) ) ) ) )).
fof(fraenkel_a_3_0_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_0_waybel_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_0_weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)))) ) => ( r2_hidden(A,a_3_0_weddwitt(B,C,D)) <=> ? [E] : ( m2_funct_2(E,B,C,k9_funct_2(B,C)) & A = k8_relset_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C),D,k1_tarski(E)) ) ) ) )).
fof(fraenkel_a_3_0_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_yellow12(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_yellow13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_cantor_1(C,B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_yellow13(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_0_yellow15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_0_yellow15(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_0_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v2_waybel_0(D,k2_yellow_1(C)) & v13_waybel_0(D,k2_yellow_1(C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(C)))) ) => ( r2_hidden(A,a_3_0_yellow19(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m2_subset_1(F,u1_struct_0(k2_yellow_1(C)),D) & A = k4_tarski(E,F) & r2_tarski(E,F) ) ) ) )).
fof(fraenkel_a_3_0_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k1_yellow_1(k7_waybel_0(B)))) & m1_subset_1(D,u1_struct_0(k1_yellow_1(k7_waybel_0(B)))) ) => ( r2_hidden(A,a_3_0_yellow_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ ( ~ r2_tarski(E,C) & ~ r2_tarski(E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(F,C) & r2_tarski(G,D) & E = k13_lattice3(B,F,G) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & v1_waybel_0(D,k3_yellow_3(B,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_3_0_yellow_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_yellow_3(B,C))) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k3_yellow_3(B,C))) & r3_orders_2(k3_yellow_3(B,C),E,F) & r2_tarski(F,D) ) ) ) ) )).
fof(fraenkel_a_3_0_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_yellow_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k10_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_0_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m3_yellow_6(D,u1_struct_0(C),B) ) => ( r2_hidden(A,a_3_0_yellow_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_relset_1(u1_struct_0(B),u1_waybel_0(B,k6_yellow_6(u1_struct_0(C),B,D,E))) ) ) ) )).
fof(fraenkel_a_3_0_yellow_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_pre_topc(B) & v1_cantor_1(C,B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_yellow_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,C) & v2_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_yellow_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k2_zfmisc_1(u1_struct_0(B),E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_0_zf_colla(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ! [F] : ( m1_subset_1(F,B) => ~ ( r2_tarski(F,E) & ! [G] : ( v3_ordinal1(G) => ~ ( r2_tarski(G,k9_xtuple_0(k5_relat_1(C,D))) & r2_tarski(F,k3_tarski(k1_tarski(k1_funct_1(k5_relat_1(C,D),G)))) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_0_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r2_hidden(A,a_3_0_zf_fund2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r1_zf_model(C,k2_zf_lang1(C,D,k2_zf_lang(k5_numbers),E),B) ) ) ) )).
fof(fraenkel_a_3_0_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m2_subset_1(C,k4_ordinal1,k1_zf_lang) & m2_subset_1(D,k4_ordinal1,k1_zf_lang) ) => ( r2_hidden(A,a_3_0_zf_model(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_zf_model(B)) & A = E & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( F = E => k3_funct_2(k1_zf_lang,B,F,C) = k3_funct_2(k1_zf_lang,B,F,D) ) ) ) ) ) )).
fof(fraenkel_a_3_0_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_0_zmodul01(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r2_tarski(F,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul02(C,B) & v1_int_1(D) ) => ( r2_hidden(A,a_3_0_zmodul02(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k4_numbers,k23_zmodul02(B,C,D),E) != k5_numbers ) ) ) )).
fof(fraenkel_a_3_0_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & v1_zmodul03(C) & l1_zmodul01(C) & m1_zmodul03(D,C) ) => ( r2_hidden(A,a_3_0_zmodul03(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k13_zmodul02(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & v1_zmodul03(C) & l1_zmodul01(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_0_zmodul04(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k13_zmodul02(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_0_zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & l1_zmodul01(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_zmodul05(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_0_zmodul05(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k4_struct_0(C) ) ) ) )).
fof(fraenkel_a_3_10_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_10_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k2_zfmisc_1(k6_card_fil(B),B)) & A = k3_funct_2(k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B),C,E) & r2_tarski(E,k2_zfmisc_1(k6_card_fil(B),k1_tarski(D))) ) ) ) )).
fof(fraenkel_a_3_10_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & m1_closure2(D,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) ) => ( r2_hidden(A,a_3_10_closure2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = E & r2_tarski(E,u1_closure2(B,C)) & r2_pboole(u1_struct_0(B),D,E) ) ) ) )).
fof(fraenkel_a_3_10_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_10_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_funct_1(C,E) & r2_tarski(E,k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_3_10_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_10_compos_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k2_xcmplx_0(E,C) & r2_tarski(E,k9_xtuple_0(D)) ) ) ) )).
fof(fraenkel_a_3_10_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_10_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_10_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_10_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k9_complex1(k10_csspace(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_10_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_10_dickson(B,C,D)) <=> ? [E] : ( m2_subset_1(E,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & A = a_3_8_dickson(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_10_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_10_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_xxreal_0(D,k3_funct_2(B,k1_numbers,C,E)) & r1_xxreal_0(k3_funct_2(B,k1_numbers,C,E),D) ) ) ) )).
fof(fraenkel_a_3_10_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v12_fomodel2(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_fomodel4(B))) ) => ( r2_hidden(A,a_3_10_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_mcart_1(k1_zfmisc_1(k1_fomodel4(B)),k1_zfmisc_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & A = k7_relset_1(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),E,k6_domain_1(k1_zfmisc_1(k1_fomodel4(B)),D)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_10_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_10_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,a_3_9_heyting1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_10_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v10_lattices(C) & v4_lattice3(C) & v6_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_10_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k3_lattices(C,E,D) & r2_tarski(E,B) ) ) ) )).
fof(fraenkel_a_3_10_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & v15_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v18_lattices(D,B) & v21_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_10_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,E,k3_lattices(B,F,G)) & r2_tarski(F,D) & r2_tarski(G,k6_filter_2(B,C)) ) ) ) ) ) )).
fof(fraenkel_a_3_10_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_3_10_mathmorp(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = k3_rlvect_1(k15_euclid(B),E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_10_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_10_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k4_morph_01(B,D),E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_10_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_10_osafree(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & A = E & ~ ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ~ ( r3_orders_2(B,F,D) & r2_hidden(G,k1_funct_1(C,F)) & E = k1_trees_4(k4_tarski(G,F)) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & r3_orders_2(B,k2_msualg_1(B,F),D) ) ) ) ) ) ) )).
fof(fraenkel_a_3_10_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_10_pcomps_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k8_metric_1(C,E,k7_xcmplx_0(1,2)) & r2_tarski(E,k7_subset_1(u1_struct_0(C),D,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(C)),B,D))) & r1_tarski(k8_metric_1(C,E,k7_xcmplx_0(3,2)),D) ) ) ) )).
fof(fraenkel_a_3_10_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m3_pua2mss1(C,B) & m1_subset_1(D,k4_finseq_1(u1_unialg_1(B))) ) => ( r2_hidden(A,a_3_10_pua2mss1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(k11_pua2mss1(B,C))) & A = E & k12_pua2mss1(B,C,E) = D ) ) ) )).
fof(fraenkel_a_3_10_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_10_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_10_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_10_rlaffin3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k1_rlvect_1(C,E,B) & r2_tarski(E,k4_rlaffin1(C,D)) ) ) ) )).
fof(fraenkel_a_3_10_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_10_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,D) & r2_tarski(F,k1_convex1(B,C,k4_xcmplx_0(1))) ) ) ) )).
fof(fraenkel_a_3_10_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_10_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_10_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_10_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & m2_finseq_2(F,k2_numbers,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,E,F)) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_10_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_10_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = k17_euclid(B) & r1_xxreal_0(k18_euclid(C),k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),k18_euclid(D)) ) ) ) )).
fof(fraenkel_a_3_10_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,B) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_10_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_10_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v3_yellow_0(C) & v1_lattice3(C) & v2_lattice3(C) & v3_waybel_3(C) & l1_orders_2(C) & v4_card_3(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_10_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(F,D) & F = E & v2_waybel12(E,C) ) ) ) ) )).
fof(fraenkel_a_3_10_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_10_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_10_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_10_waybel_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k10_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_10_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k1_yellow_1(k7_waybel_0(B)))) & m1_subset_1(D,u1_struct_0(k1_yellow_1(k7_waybel_0(B)))) ) => ( r2_hidden(A,a_3_10_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ ( ~ r2_tarski(E,C) & ~ r2_tarski(E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(F,C) & r2_tarski(G,D) & E = k13_lattice3(B,F,G) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_10_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_10_zf_fund1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k1_domain_1(k4_ordinal1,B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_11_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(C) & v1_card_1(C) & m1_subset_1(D,C) ) => ( r2_hidden(A,a_3_11_card_fil(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & A = E & r2_tarski(E,B) & k3_funct_2(C,k2_tarski(k1_xboole_0,1),E,D) = 1 ) ) ) )).
fof(fraenkel_a_3_11_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_11_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_11_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_11_convex1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_11_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_clvect_1(B) & v1_xcmplx_0(C) & m1_convex4(D,B) ) => ( r2_hidden(A,a_3_11_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k2_numbers,k7_convex4(B,C,D),E) != k5_complex1 ) ) ) )).
fof(fraenkel_a_3_11_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r2_hidden(A,a_3_11_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k5_numbers)),k8_nat_1(u1_struct_0(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_11_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_xreal_0(C) ) => ( r2_hidden(A,a_3_11_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & m1_subset_1(k3_funct_2(B,k1_tarski(C),k7_funcop_1(B,C),E),D) ) ) ) )).
fof(fraenkel_a_3_11_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_11_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,D) & ~ r2_tarski(k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C),k7_normform(B)) ) ) ) )).
fof(fraenkel_a_3_11_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_11_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_orders_2(B,E,C) & r1_orders_2(B,E,D) ) ) ) )).
fof(fraenkel_a_3_11_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(C) & m2_finseq_1(D,k9_setfam_1(B)) ) => ( r2_hidden(A,a_3_11_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_xxreal_0(C,k24_mmlquery(D,E)) & r1_xxreal_0(k24_mmlquery(D,E),k3_finseq_1(D)) ) ) ) )).
fof(fraenkel_a_3_11_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_11_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k9_subset_1(u1_struct_0(B),k5_rusub_4(B,k6_mathmorp(k4_xcmplx_0(1),B,D),E),k6_subset_1(u1_struct_0(B),C)) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_11_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_11_osafree(B,C,D)) <=> ? [E] : ? [F] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & m1_dtconstr(F,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & A = k4_tarski(E,F) & r2_hidden(k4_tarski(E,D),k3_funct_2(k4_dtconstr(k2_osafree(B,C)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B))),k19_osafree(B,C),F)) ) ) ) )).
fof(fraenkel_a_3_11_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_11_pcomps_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_11_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_11_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k9_quantal1(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_11_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_pre_topc(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v1_finset_1(C) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_11_rlaffin3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,D,E) & r2_tarski(E,k4_rlaffin1(B,C)) ) ) ) )).
fof(fraenkel_a_3_11_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_11_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_11_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_11_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_11_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_11_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = k18_euclid(B) & r1_xxreal_0(k17_euclid(D),k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_3_11_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_yellow13(B) & v3_waybel30(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) & v1_tops_2(D,B) & v1_yellow_8(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_11_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_pre_topc(B,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_11_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel33(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & v6_waybel_0(D,B) & m2_yellow_6(D,B,C) ) => ( r2_hidden(A,a_3_11_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = k2_relset_1(u1_struct_0(B),u1_waybel_0(B,k5_waybel_9(B,D,E))) ) ) ) )).
fof(fraenkel_a_3_11_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_11_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k11_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_11_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_11_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k10_lattice3(B,D,E) & r2_tarski(E,k5_yellow_3(B,B,C)) ) ) ) )).
fof(fraenkel_a_3_11_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_11_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k7_classes2(B,E,F) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_12_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_12_aofa_000(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,E))) & r1_tarski(k2_relset_1(u1_struct_0(B),F),k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_12_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(C) & v1_card_1(C) & m1_subset_1(D,C) ) => ( r2_hidden(A,a_3_12_card_fil(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & A = E & r2_tarski(E,B) & k3_funct_2(C,k2_tarski(k1_xboole_0,1),E,D) = k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_12_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_12_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(k1_nat_1(D,1),E) ) ) ) )).
fof(fraenkel_a_3_12_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_12_convex1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_12_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_12_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_12_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r2_hidden(A,a_3_12_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k5_numbers)),k8_nat_1(u1_struct_0(B),C,E)) & ~ r1_xxreal_0(E,k8_nat_1(k4_ordinal1,D,k5_numbers)) ) ) ) )).
fof(fraenkel_a_3_12_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & m1_subset_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_12_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ~ r1_xxreal_0(D,k3_funct_2(B,k1_numbers,C,E)) ) ) ) )).
fof(fraenkel_a_3_12_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_12_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,D) & ~ r2_tarski(k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C),k7_normform(B)) ) ) ) )).
fof(fraenkel_a_3_12_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice3(B))) => ( r2_hidden(A,a_3_12_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice3(B))) & A = k2_lattices(k1_lattice3(B),D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_12_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(C) & m2_finseq_1(D,k9_setfam_1(B)) ) => ( r2_hidden(A,a_3_12_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_xxreal_0(C,k24_mmlquery(D,E)) ) ) ) )).
fof(fraenkel_a_3_12_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_12_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k5_rusub_4(B,k6_mathmorp(k4_xcmplx_0(1),B,D),E),k6_subset_1(u1_struct_0(B),C)) ) ) ) )).
fof(fraenkel_a_3_12_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m2_subset_1(D,u1_struct_0(k2_osafree(B,C)),k6_dtconstr(k2_osafree(B,C))) ) => ( r2_hidden(A,a_3_12_osafree(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k4_tarski(k8_dtconstr(k2_osafree(B,C),D),E) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( r2_tarski(G,k1_funct_1(C,F)) & D = k4_tarski(G,F) & r3_orders_2(B,F,E) ) ) ) ) ) )).
fof(fraenkel_a_3_12_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_12_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_12_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v3_rltopsp1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v3_rltopsp1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_12_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_12_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_12_rusub_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_bhsp_1(B,k5_algstr_0(B,C,E)) = D ) ) ) )).
fof(fraenkel_a_3_12_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_12_seq_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,C,E)),k1_numbers) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_12_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_12_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = k18_euclid(B) & r1_xxreal_0(k17_euclid(C),k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),k17_euclid(D)) ) ) ) )).
fof(fraenkel_a_3_12_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel33(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & v6_waybel_0(D,B) & m2_yellow_6(D,B,C) ) => ( r2_hidden(A,a_3_12_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = k1_waybel_9(B,k5_waybel_9(B,D,E)) ) ) ) )).
fof(fraenkel_a_3_12_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_12_waybel_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),k1_yellow_0(B,D))) ) ) ) )).
fof(fraenkel_a_3_12_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_12_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,E,F) & r2_tarski(F,k2_yellow_4(B,k3_waybel_0(B,C),k3_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_12_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_12_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k9_classes2(B,E,F) & r2_tarski(E,D) & r2_tarski(F,k1_classes2(B,C)) ) ) ) )).
fof(fraenkel_a_3_13_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(C) & v1_card_1(C) & v1_funct_1(D) & v1_funct_2(D,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) ) => ( r2_hidden(A,a_3_13_card_fil(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & A = E & r2_tarski(E,B) & k3_funct_2(C,k2_tarski(k1_xboole_0,1),E,o_1_4_card_fil(C)) = k3_funct_2(C,k2_tarski(k1_xboole_0,1),D,o_1_4_card_fil(C)) ) ) ) )).
fof(fraenkel_a_3_13_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_13_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_13_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_13_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_13_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r2_hidden(A,a_3_13_dickson(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r1_xxreal_0(E,k8_nat_1(k4_ordinal1,D,k5_numbers)) & r1_xxreal_0(k5_numbers,E) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k5_numbers)),k8_nat_1(u1_struct_0(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_13_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v6_graph_1(C) & l1_graph_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_13_graph_3(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,u4_struct_0(C),k9_graph_3(C)) & A = E & r1_tarski(k10_xtuple_0(E),B) & ~ v1_xboole_0(E) & ? [F] : ( m2_finseq_1(F,u1_struct_0(C)) & r1_graph_2(C,F,E) & k1_funct_1(F,1) = D ) ) ) ) )).
fof(fraenkel_a_3_13_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_13_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,a_3_9_heyting1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_13_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice3(B))) => ( r2_hidden(A,a_3_13_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice3(B))) & A = k4_lattices(k1_lattice3(B),D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_13_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(C,k9_setfam_1(B)) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_13_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(E,k4_finseq_1(C)) & r2_tarski(D,k4_prob_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_13_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) ) => ( r2_hidden(A,a_3_13_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,E,k15_lattice3(B,D)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_13_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_13_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_13_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_13_rusub_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k3_bhsp_1(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_13_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_13_seq_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_13_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_13_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = k17_euclid(B) & r1_xxreal_0(k18_euclid(k19_euclid(k17_euclid(B),k18_euclid(D))),k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_3_13_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_13_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_yellow_0(B,k4_yellow_4(B,k6_domain_1(u1_struct_0(B),E),D)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_13_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_13_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,E,F) & r2_tarski(F,k2_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_13_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_13_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k1_classes2(B,k6_classes2(B,E,F)) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_14_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_14_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_14_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_14_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_14_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_14_heyting1(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m2_subset_1(F,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,F) & F = C & r2_tarski(E,a_3_9_heyting1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_14_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice3(B))) => ( r2_hidden(A,a_3_14_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice3(B))) & A = k1_lattices(k1_lattice3(B),D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_14_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m2_finseq_1(C,k9_setfam_1(B)) => ( r2_hidden(A,a_3_14_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(E,k4_finseq_1(C)) & r2_hidden(D,k4_prob_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_14_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) ) => ( r2_hidden(A,a_3_14_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k15_lattice3(B,a_3_12_quantal1(B,D,E)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_14_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_14_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_14_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_14_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = k17_euclid(B) & r1_xxreal_0(k18_euclid(C),k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),k18_euclid(k19_euclid(k17_euclid(B),k18_euclid(D)))) ) ) ) )).
fof(fraenkel_a_3_14_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v2_struct_0(D) & v7_waybel_0(D) & l1_waybel_0(D,B) ) => ( r2_hidden(A,a_3_14_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,k2_relset_1(u1_struct_0(B),u1_waybel_0(B,k2_waybel_2(B,u1_struct_0(D),u1_waybel_0(B,D))))) ) ) ) )).
fof(fraenkel_a_3_14_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_14_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r3_orders_2(B,E,F) & r2_tarski(F,k2_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_15_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_15_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_15_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r2_hidden(A,a_3_15_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(u1_struct_0(B),C,E) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k5_numbers)),k8_nat_1(u1_struct_0(B),C,E)) & ~ r1_xxreal_0(E,k8_nat_1(k4_ordinal1,D,k5_numbers)) ) ) ) )).
fof(fraenkel_a_3_15_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_15_heyting1(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m2_subset_1(F,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,F) & r2_tarski(E,a_3_9_heyting1(B,C,D)) & r2_tarski(F,k2_heyting1(B,C)) ) ) ) )).
fof(fraenkel_a_3_15_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice3(B))) => ( r2_hidden(A,a_3_15_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice3(B))) & A = k3_lattices(k1_lattice3(B),D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_15_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & l1_mmlquery(C) & m2_finseq_1(D,u1_mmlquery(C)) ) => ( r2_hidden(A,a_3_15_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(C),k2_relset_1(u1_mmlquery(C),D),k30_mmlquery(C,E))),B) ) ) ) )).
fof(fraenkel_a_3_15_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_15_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,C,E),D) ) ) ) )).
fof(fraenkel_a_3_15_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v3_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_15_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_rusub_4(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_15_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_15_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k12_seq_4(B)) & m1_subset_1(F,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,E,F)),k1_numbers) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_15_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_15_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = k18_euclid(B) & r1_xxreal_0(k17_euclid(k19_euclid(k17_euclid(D),k18_euclid(B))),k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),k17_euclid(C)) ) ) ) )).
fof(fraenkel_a_3_15_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v2_waybel_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_15_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_15_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_15_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r3_orders_2(B,E,F) & r2_tarski(F,k2_yellow_4(B,k3_waybel_0(B,C),k3_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_16_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v7_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_16_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_funct_1(C,E) & r2_tarski(E,k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_3_16_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_16_ideal_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_16_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice3(B))) => ( r2_hidden(A,a_3_16_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice3(B))) & A = k7_lattices(k1_lattice3(B),E) & r2_tarski(E,a_3_15_lattice3(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_16_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v3_mmlquery(C) & l1_mmlquery(C) & m2_finseq_1(D,u1_mmlquery(C)) ) => ( r2_hidden(A,a_3_16_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(C),k30_mmlquery(C,E),k2_relset_1(u1_mmlquery(C),D))),B) ) ) ) )).
fof(fraenkel_a_3_16_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_16_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_16_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_16_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r2_tarski(E,k1_tops_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_16_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_16_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k12_seq_4(B)) & m1_subset_1(F,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,E,F)) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_16_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_16_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = k18_euclid(B) & r1_xxreal_0(k17_euclid(C),k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),k17_euclid(k19_euclid(k17_euclid(D),k18_euclid(B)))) ) ) ) )).
fof(fraenkel_a_3_16_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_16_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_16_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_16_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k2_yellow_4(B,k4_waybel_0(B,C),k4_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_17_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_17_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_tarski(k1_funct_1(C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_17_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_17_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r1_orders_2(B,E,D) ) ) ) )).
fof(fraenkel_a_3_17_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v3_ideal_1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_17_ideal_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_17_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice3(B))) => ( r2_hidden(A,a_3_17_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice3(B))) & A = k4_lattices(k1_lattice3(B),k7_lattices(k1_lattice3(B),D),E) & r2_tarski(E,a_2_8_lattice3(B,C)) ) ) ) )).
fof(fraenkel_a_3_17_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v3_mmlquery(C) & l1_mmlquery(C) & m2_finseq_1(D,u1_mmlquery(C)) ) => ( r2_hidden(A,a_3_17_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(C),k2_relset_1(u1_mmlquery(C),D),k30_mmlquery(C,E))),B) ) ) ) )).
fof(fraenkel_a_3_17_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_17_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,C,E) & r3_lattices(B,k6_algstr_0(B,C,E),D) ) ) ) )).
fof(fraenkel_a_3_17_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_17_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r2_tarski(E,k2_pre_topc(B,D)) ) ) ) )).
fof(fraenkel_a_3_17_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_17_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k12_seq_4(B)) & m1_subset_1(F,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,E,F)),k1_numbers) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_17_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_17_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k2_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_18_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_xreal_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_18_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k8_metric_1(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_18_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v1_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v3_ideal_1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_18_ideal_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_18_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_18_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_lattices(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_18_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_18_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,E,C),D) ) ) ) )).
fof(fraenkel_a_3_18_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_18_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_algstr_0(B,C),E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_18_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_18_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k12_seq_4(B)) & m1_subset_1(F,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,E,F)) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_18_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_18_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k2_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_19_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ( r2_hidden(A,a_3_19_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_19_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_19_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k2_relset_1(u1_struct_0(B),C)) & A = a_3_20_dickson(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_19_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_19_ideal_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,k7_ideal_1(B,k6_domain_1(u1_struct_0(B),C))) & r2_tarski(F,k7_ideal_1(B,k6_domain_1(u1_struct_0(B),D))) ) ) ) )).
fof(fraenkel_a_3_19_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_19_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_lattices(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_19_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_19_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_19_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_connsp_2(D,B,C) ) => ( r2_hidden(A,a_3_19_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_algstr_0(B,C),E) & r2_tarski(E,k1_tops_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_19_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_19_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k2_yellow_4(B,k4_waybel_0(B,C),k4_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_1_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v13_abcmiz_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_abcmiz_1(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = E & k7_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),E) = D & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),E),C) ) ) ) )).
fof(fraenkel_a_3_1_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B))))) ) => ( r2_hidden(A,a_3_1_abian(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & A = k2_mcart_1(k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B),k3_funct_2(k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B)),D,E)) ) ) ) )).
fof(fraenkel_a_3_1_ali2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_ali2(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_ali2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k3_metric_1(B,E,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E)),k3_xcmplx_0(k3_metric_1(B,o_1_0_ali2(B),k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,o_1_0_ali2(B))),k2_power(D,k5_numbers))) ) ) ) )).
fof(fraenkel_a_3_1_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,u1_compos_1(k4_amistd_1(B))) ) => ( r2_hidden(A,a_3_1_ami_wstd(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_card_3(k2_memstr_0(B,k4_amistd_1(B)))) & A = k5_memstr_0(B,k4_amistd_1(B),k2_extpro_1(B,k4_amistd_1(B),D,E)) & k5_memstr_0(B,k4_amistd_1(B),E) = C ) ) ) )).
fof(fraenkel_a_3_1_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & l1_extpro_1(C,B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_amistd_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_compos_1(C)) & A = k7_subset_1(k4_ordinal1,k1_amistd_1(B,C,D,E),k2_amistd_1(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_1_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_aofa_000(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,E))) & r1_tarski(k2_relset_1(u1_struct_0(B),F),k9_aofa_000(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_1_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_1_armstrng(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r1_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_1_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_funct_2(C,B,k1_numbers) & m1_funct_2(D,B,k1_numbers) ) => ( r2_hidden(A,a_3_1_asympt_0(B,C,D)) <=> ? [E] : ( m2_funct_2(E,B,k1_numbers,k9_funct_2(B,k1_numbers)) & A = E & ? [F] : ( m2_funct_2(F,B,k1_numbers,k9_funct_2(B,k1_numbers)) & ? [G] : ( m2_funct_2(G,B,k1_numbers,k9_funct_2(B,k1_numbers)) & r2_tarski(F,C) & r2_tarski(G,D) & ! [H] : ( m1_subset_1(H,B) => k3_funct_2(B,k1_numbers,E,H) = k4_xxreal_0(k3_funct_2(B,k1_numbers,F,H),k3_funct_2(B,k1_numbers,G,H)) ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( r2_hidden(A,a_3_1_bagorder(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k14_pre_poly(B),k15_pre_poly(B)) & A = E & r2_tarski(E,C) & k3_bagorder(B,E) = k4_seq_4(D) ) ) ) )).
fof(fraenkel_a_3_1_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v8_bcialg_1(B) & v2_bcialg_4(B) & v3_bcialg_4(B) & l1_bcialg_4(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_bcialg_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_bcialg_1(B,k1_bcialg_1(B,E,C),D) ) ) ) )).
fof(fraenkel_a_3_1_bhsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_bhsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k3_bhsp_1(B,k5_algstr_0(B,C,E)),D) ) ) ) )).
fof(fraenkel_a_3_1_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & l1_vectsp_1(C,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_1_bilinear(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) = k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_1_binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,B,k9_funct_2(k4_ordinal1,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(k4_ordinal1,C)))) ) => ( r2_hidden(A,a_3_1_binom(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ( m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,B) & m1_subset_1(G,C) & A = k4_tarski(k4_tarski(F,E),G) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & H = k3_funct_2(B,k9_funct_2(k4_ordinal1,C),D,F) & G = k8_nat_1(C,H,E) ) ) ) ) )).
fof(fraenkel_a_3_1_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C)))) ) => ( r2_hidden(A,a_3_1_borsuk_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,E,F) & r1_tarski(k3_borsuk_1(B,C,E,F),D) & v3_pre_topc(E,B) & v3_pre_topc(F,C) ) ) ) )).
fof(fraenkel_a_3_1_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_compts_1(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C,B))))) ) => ( r2_hidden(A,a_3_1_borsuk_3(B,C,D)) <=> ? [E] : ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C,B))))) & r1_tarski(F,D) & v1_finset_1(F) & r1_tarski(k3_borsuk_1(C,B,k2_struct_0(C),E),k5_setfam_1(u1_struct_0(k2_borsuk_1(C,B)),F)) ) ) ) ) )).
fof(fraenkel_a_3_1_brouwer2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & v1_convex1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_1_brouwer2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = k3_rlvect_1(k15_euclid(B),k4_algstr_0(k15_euclid(B),D),E) & r2_tarski(E,k1_tops_1(k15_euclid(B),C)) ) ) ) )).
fof(fraenkel_a_3_1_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_card_fil(C,B) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_1_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = k9_subset_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_3_1_card_fin(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(k6_subset_1(C,k1_tarski(D)),k1_tarski(D)),k7_domain_1(k4_ordinal1,1,k5_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k6_subset_1(C,k1_tarski(D)),k1_tarski(D)),k7_domain_1(k4_ordinal1,1,k5_numbers)))) & A = E & k4_card_1(k8_relset_1(k2_xboole_0(k6_subset_1(C,k1_tarski(D)),k1_tarski(D)),k7_domain_1(k4_ordinal1,1,k5_numbers),E,k6_domain_1(k4_ordinal1,1))) = k1_nat_1(B,1) & k1_funct_1(E,D) = k5_numbers ) ) ) )).
fof(fraenkel_a_3_1_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_1_card_lar(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(E,C) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_1_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & m1_subset_1(C,k6_cat_6(B)) & m1_subset_1(D,k6_cat_6(B)) ) => ( r2_hidden(A,a_3_1_cat_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_cat_6(B)) & A = E & k7_cat_6(B,E) = C & k8_cat_6(B,E) = D ) ) ) )).
fof(fraenkel_a_3_1_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => ( r2_hidden(A,a_3_1_cc0sp2(B,C,D)) <=> ? [E] : ( v1_xcmplx_0(E) & A = E & ~ r1_xxreal_0(k7_xcmplx_0(B,k2_xcmplx_0(k2_xcmplx_0(k9_complex1(C),k9_complex1(D)),1)),k9_complex1(k6_xcmplx_0(E,C))) ) ) ) )).
fof(fraenkel_a_3_1_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_cgames_1(C) & v2_cgames_1(D) ) => ( r2_hidden(A,a_3_1_cgames_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k7_cgames_1(D)) & A = k1_funct_1(k5_relat_1(B,k10_cgames_1(C)),E) & k7_cgames_1(D) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_1_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_chain_1(C,B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_chain_1(B,C,D)) <=> ? [E] : ? [F] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & m2_finseq_2(F,k1_numbers,k1_euclid(B)) & A = k3_chain_1(B,E,F) & ~ ( ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_finseq_1(B))) => ~ ( k4_card_1(G) = D & ! [H] : ( m2_subset_1(H,k4_ordinal1,k2_finseq_1(B)) => ( ( r2_tarski(H,G) & ~ r1_xxreal_0(k1_funct_1(F,H),k1_funct_1(E,H)) & m2_chain_1(k4_tarski(k1_funct_1(E,H),k1_funct_1(F,H)),k2_chain_1(B,C,H)) ) | ( ~ r2_tarski(H,G) & k1_funct_1(E,H) = k1_funct_1(F,H) & r2_tarski(k1_funct_1(E,H),k2_chain_1(B,C,H)) ) ) ) ) ) & ~ ( D = B & ! [G] : ( m2_subset_1(G,k4_ordinal1,k2_finseq_1(B)) => ( ~ r1_xxreal_0(k1_funct_1(E,G),k1_funct_1(F,G)) & m2_chain_1(k4_tarski(k1_funct_1(E,G),k1_funct_1(F,G)),k2_chain_1(B,C,G)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) & m1_subset_1(C,k6_glib_000(B)) & m1_subset_1(D,k6_glib_000(B)) ) => ( r2_hidden(A,a_3_1_chord(B,C,D)) <=> ? [E] : ( m2_chord(E,B,C,D) & A = E ) ) ) )).
fof(fraenkel_a_3_1_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v3_rltopsp1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v3_rltopsp1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_circled1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_1_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_circuit1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(B,k5_msafree2(B,C)),D)) & A = k5_circuit1(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_1_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_circuit2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_dtconstr(k5_msafree(B,u3_msualg_1(B,C)))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(u3_msualg_1(B,C),D)) & E = k1_trees_4(k4_tarski(F,D)) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = D ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_classes1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_1_classes1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_classes1(B)) & A = k9_setfam_1(E) & r2_tarski(E,k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_1_classes2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_1_classes2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_classes1(B)) & A = k9_setfam_1(E) & r2_tarski(E,k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_1_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & m3_pboole(D,u1_struct_0(B),u3_msualg_1(B,C)) ) => ( r2_hidden(A,a_3_1_closure2(B,C,D)) <=> ? [E] : ( m1_closure2(E,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = E & r2_pboole(u1_struct_0(B),D,E) & r2_tarski(E,u1_closure2(B,C)) ) ) ) )).
fof(fraenkel_a_3_1_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_closure2(D,B,C,k6_closure2(B,C)) ) => ( r2_hidden(A,a_3_1_closure3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & k1_funct_1(D,E) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_1_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_clvect_1(D,B) ) => ( r2_hidden(A,a_3_1_clvect_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_1_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_clvect_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k11_csspace(B,k5_algstr_0(B,C,E)),D) ) ) ) )).
fof(fraenkel_a_3_1_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_1_compos_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_compos_0(C) & v2_compos_0(C) & v3_compos_0(C) & m1_subset_1(D,C) ) => ( r2_hidden(A,a_3_1_compos_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = k2_compos_0(E) & k5_compos_0(C,k8_compos_0(C,D,B)) = k5_compos_0(C,E) ) ) ) )).
fof(fraenkel_a_3_1_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_1_compos_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,k7_nat_d(k4_card_1(C),1)) & r2_tarski(E,k9_xtuple_0(k5_compos_1(B,D,k7_nat_d(k4_card_1(C),1)))) ) ) ) )).
fof(fraenkel_a_3_1_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(D) & v1_comput_1(D) & m1_rfunct_3(D,B,C) ) => ( r2_hidden(A,a_3_1_comput_1(B,C,D)) <=> ? [E] : ( m2_rfunct_3(E,B,C,D) & A = k10_xtuple_0(E) ) ) ) )).
fof(fraenkel_a_3_1_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_3_1_conlat_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ( r2_tarski(F,u3_conlat_1(B,g2_conlat_1(B,C,D))) => r1_conlat_1(B,E,F) ) ) ) ) ) )).
fof(fraenkel_a_3_1_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(D,k1_bhsp_1(B,E,C)) ) ) ) )).
fof(fraenkel_a_3_1_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_1_convex2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k9_subset_1(k4_ordinal1,k4_finseq_1(C),k4_finseq_1(D))) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G = k1_funct_1(C,F) & ~ r1_xxreal_0(k1_funct_1(D,F),k1_bhsp_1(B,E,G)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(D,k3_complex1(k10_csspace(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_1_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_1_cqc_lang(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k4_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_1_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k4_ordinal1) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_1_cqc_sim1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k5_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_1_dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ~ v1_xboole_0(D) & v1_finset_1(D) & v6_membered(D) ) => ( r2_hidden(A,a_3_1_dblseq_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k4_tarski(k1_nat_1(E,1),k8_nat_1(B,C,E)) & r2_tarski(k1_nat_1(E,1),D) ) ) ) )).
fof(fraenkel_a_3_1_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_1_domain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(k17_dualsp01(B))) ) => ( r2_hidden(A,a_3_1_dualsp02(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k9_complex1(k18_dualsp01(B,D,E)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) ) => ( r2_hidden(A,a_3_1_ec_pf_1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k3_zfmisc_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B))),k3_ec_pf_1(k9_int_3(B))) & A = k6_eqrel_1(k6_ec_pf_1(B,C,D),k6_ec_pf_1(B,C,D),k8_ec_pf_1(B,C,D),E) & r2_tarski(E,k6_ec_pf_1(B,C,D)) & ? [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(B))) & ? [G] : ( m1_subset_1(G,u1_struct_0(k9_int_3(B))) & E = k4_domain_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),k4_ordinal1,F,G,1) ) ) ) ) ) )).
fof(fraenkel_a_3_1_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_eqrel_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(B)))) ) => ( r2_hidden(A,a_3_1_eqrel_1(B,C,D)) <=> ? [E] : ( m1_eqrel_1(E,B) & A = k11_eqrel_1(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_euclid10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_euclid10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))) = D ) ) ) )).
fof(fraenkel_a_3_1_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_euclid_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ~ r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))),D) ) ) ) )).
fof(fraenkel_a_3_1_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))))) & m2_rlvect_2(D,k10_funcsdom(k2_finseq_1(B)),C) ) => ( r2_hidden(A,a_3_1_euclid_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) & A = E & k3_funct_2(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),k1_numbers,D,E) != k5_numbers ) ) ) )).
fof(fraenkel_a_3_1_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_fcont_1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k6_xcmplx_0(B,k7_xcmplx_0(k3_xxreal_0(D,k6_xcmplx_0(C,B)),2)),E) & r1_xxreal_0(E,k2_xcmplx_0(B,k7_xcmplx_0(k3_xxreal_0(D,k6_xcmplx_0(C,B)),2))) ) ) ) )).
fof(fraenkel_a_3_1_fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) & m1_subset_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_1_fdiff_2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,B) & ~ r1_xxreal_0(k2_xcmplx_0(k4_xxreal_0(C,D),1),E) ) ) ) )).
fof(fraenkel_a_3_1_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_fdiff_3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k6_xcmplx_0(B,k7_xcmplx_0(C,k1_nat_1(D,1))),E) & r1_xxreal_0(E,B) ) ) ) )).
fof(fraenkel_a_3_1_filter_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_filter_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,k4_lattices(B,F,G),E) & r2_tarski(F,D) & r2_tarski(G,C) ) ) ) ) ) )).
fof(fraenkel_a_3_1_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v18_lattices(D,B) & v21_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_filter_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,E,k3_lattices(B,F,G)) & r2_tarski(F,C) & r2_tarski(G,D) ) ) ) ) ) )).
fof(fraenkel_a_3_1_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ~ r1_xxreal_0(D,k3_funct_2(B,k1_numbers,C,E)) ) ) ) )).
fof(fraenkel_a_3_1_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_1_finseq_3(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ( m1_subset_1(E,B) & m1_subset_1(F,C) & m1_subset_1(G,D) & A = k11_finseq_1(E,F,G) ) ) ) )).
fof(fraenkel_a_3_1_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_finseq_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(E,k4_finseq_1(B)) & r1_xxreal_0(E,k1_nat_1(D,1)) & r2_tarski(k1_funct_1(B,E),k1_tarski(C)) ) ) ) )).
fof(fraenkel_a_3_1_fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_fintopo6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r2_tarski(E,C) & ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & v2_fintopo6(F,B) & r1_tarski(k2_relset_1(u1_struct_0(B),F),C) & k1_funct_1(F,1) = D & k1_funct_1(F,k3_finseq_1(F)) = E ) ) ) ) )).
fof(fraenkel_a_3_1_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v1_relat_1(C) & v1_funct_1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_fomodel1(B,C,D)) <=> ? [E] : ( v10_fomodel1(E,B) & m1_subset_1(E,k1_fomodel1(B)) & A = k24_fomodel1(B,E,k1_funct_1(C,D)) & v6_fomodel1(E,B) ) ) ) )).
fof(fraenkel_a_3_1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m2_subset_1(C,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) ) => ( r2_hidden(A,a_3_1_fomodel3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & ~ r2_tarski(k1_funct_1(C,D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),E)) ) ) ) )).
fof(fraenkel_a_3_1_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(B)),k1_fomodel4(B)))) ) => ( r2_hidden(A,a_3_1_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_fomodel4(B)) & A = E & r2_hidden(k4_tarski(D,E),C) ) ) ) )).
fof(fraenkel_a_3_1_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_1_goboard5(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),C))) ) ) ) )).
fof(fraenkel_a_3_1_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_goboard6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k1_metric_1(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_1_goboard7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_1_goboard7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = k18_euclid(C) & r1_xxreal_0(k17_euclid(B),k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),k17_euclid(D)) ) ) ) )).
fof(fraenkel_a_3_1_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_1_gobrd11(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_1_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_gobrd12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),D,k1_nat_1(C,1))),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(D,1),k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_1_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_1_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_1_gobrd14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_1_gobrd14(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_1_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) & m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( r2_hidden(A,a_3_1_goedelcp(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k9_qc_lang1(B),k3_cqc_lang(B)) & A = k24_qc_lang1(B,E) & r2_tarski(E,k4_subset_1(k3_cqc_lang(B),C,D)) ) ) ) )).
fof(fraenkel_a_3_1_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_graph_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r1_xxreal_0(k1_nat_1(D,1),E) & r1_xxreal_0(E,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_3_1_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_graph_4(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r1_xxreal_0(k1_nat_1(D,1),E) & r1_xxreal_0(E,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_3_1_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_graph_5(B,C,D)) <=> ? [E] : ( v7_graph_1(E,B) & v1_graph_4(E,B) & m2_graph_1(E,B) & A = E & r3_graph_5(B,E,C,D) ) ) ) )).
fof(fraenkel_a_3_1_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(C,C)) & v1_group_10(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(C,C)))) ) => ( r2_hidden(A,a_3_1_group_10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & A = E & ? [F] : ( m1_subset_1(F,C) & E = k13_group_10(B,C,D,F) ) ) ) ) )).
fof(fraenkel_a_3_1_group_11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_group_2(D,B) ) => ( r2_hidden(A,a_3_1_group_11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xboole_0(k13_group_2(B,D,E),C) ) ) ) )).
fof(fraenkel_a_3_1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_group_9(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k6_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_1_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m2_funct_2(D,k7_normform(B),k1_heyting1(B),k9_funct_2(k7_normform(B),k1_heyting1(B))) ) => ( r2_hidden(A,a_3_1_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k3_funct_2(k7_normform(B),k1_heyting1(B),D,E) & r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),D,E),k2_domain_1(k5_finsub_1(B),k5_finsub_1(B),E)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_3_1_heyting2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(B,C)) & A = k9_xtuple_0(E) & r2_tarski(E,D) & v1_finset_1(E) ) ) ) )).
fof(fraenkel_a_3_1_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v3_ordinal1(C) & ~ v1_finset_1(C) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(C,B)))) ) => ( r2_hidden(A,a_3_1_hilbasis(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_tarski(k3_hilbasis(C,E,B),D) ) ) ) )).
fof(fraenkel_a_3_1_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_ideal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_integra2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_integra1(C,B) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_1_integra2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k3_seq_4(B),E) & r1_xxreal_0(E,k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_1_integra6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v9_ordinal1(C) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_integra6(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k2_xcmplx_0(B,k1_funct_1(C,D)),E) & r1_xxreal_0(E,B) ) ) ) )).
fof(fraenkel_a_3_1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_interva1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(D) & v1_interva1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_3_1_interva1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r1_tarski(k7_subset_1(B,k7_interva1(B,C),k8_interva1(B,D)),E) & r1_tarski(E,k7_subset_1(B,k8_interva1(B,C),k7_interva1(B,D))) ) ) ) )).
fof(fraenkel_a_3_1_jgraph_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_1_jgraph_1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),D,k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(B),C,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_1_jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k14_euclid(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_jgraph_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(B))) & A = E & ~ r1_xxreal_0(D,k3_metric_1(k14_euclid(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_1_jgraph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_jgraph_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k7_partfun1(u1_struct_0(k3_topmetr),C,E)) ) ) ) )).
fof(fraenkel_a_3_1_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_jgraph_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ~ r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C)))) ) ) ) )).
fof(fraenkel_a_3_1_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k14_euclid(2))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_jordan1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) & A = E & ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(B,D),2),k3_metric_1(k14_euclid(2),C,E)) ) ) ) )).
fof(fraenkel_a_3_1_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan10(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),D,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k7_nat_d(k3_finseq_1(k1_jordan8(C,B)),1))),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k1_nat_1(k7_nat_d(k3_finseq_1(k1_jordan8(C,B)),1),1)))) ) ) ) )).
fof(fraenkel_a_3_1_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k7_nat_d(D,1)))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(k7_nat_d(D,1),1))),F) ) ) ) )).
fof(fraenkel_a_3_1_jordan1i,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan1i(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k7_nat_d(D,1)))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,D)),F) ) ) ) )).
fof(fraenkel_a_3_1_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_jordan20(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ? [F] : ( v1_xreal_0(F) & ~ r1_xxreal_0(F,D) & r1_xxreal_0(F,1) & E = k1_funct_1(C,F) ) ) ) ) )).
fof(fraenkel_a_3_1_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_1_jordan2b(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ r1_xxreal_0(k7_partfun1(k1_numbers,E,D),C) ) ) ) )).
fof(fraenkel_a_3_1_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_3_1_jordan2c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ ( E != C & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(B))))) ) => ~ ( v5_pre_topc(F,k5_topmetr,k15_euclid(B)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(B)),F),D) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = E ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_jordan3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),B,D,C),E) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),B,D,C))) ) ) ) )).
fof(fraenkel_a_3_1_jordan4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan4(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),B,D,C),E) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),B,D,C))) ) ) ) )).
fof(fraenkel_a_3_1_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_jordan5a(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,k6_xcmplx_0(C,k3_xxreal_0(k6_xcmplx_0(C,B),D))) & ~ r1_xxreal_0(k2_xcmplx_0(C,k3_xxreal_0(k6_xcmplx_0(C,B),D)),E) ) ) ) )).
fof(fraenkel_a_3_1_jordan7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_jordan6(B,k7_partfun1(u1_struct_0(k15_euclid(2)),C,D),E) & r1_jordan6(B,E,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1))) ) ) ) )).
fof(fraenkel_a_3_1_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan8(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),C,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),k1_nat_1(C,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),1,k1_matrix_0(k1_jordan8(B,D)))),F) ) ) ) )).
fof(fraenkel_a_3_1_jordan9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_jordan9(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_3_1_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_1_jordan_a(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_jordan5c(k8_jordan6(B),k18_pscomp_1(B),k22_pscomp_1(B),C,E) & r1_jordan5c(k8_jordan6(B),k18_pscomp_1(B),k22_pscomp_1(B),E,D) ) ) ) )).
fof(fraenkel_a_3_1_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_laplace(B,C,D)) <=> ? [E] : ( m1_matrix_1(E,k9_matrix_1(B)) & A = E & k1_funct_1(E,C) = D ) ) ) )).
fof(fraenkel_a_3_1_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_lattices(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),u1_struct_0(C)) & v1_lattice5(D,B,C) & v2_lattice5(D,B,C) & v3_lattice5(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_1_lattice5(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ? [H] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k5_domain_1(B,B,u1_struct_0(C),u1_struct_0(C),E,F,G,H) & r3_orders_2(C,k3_lattice5(B,C,D,E,F),k13_lattice3(C,G,H)) ) ) ) )).
fof(fraenkel_a_3_1_lattice6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_lattice6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r2_tarski(E,C) & r3_lattices(B,D,E) ) ) ) )).
fof(fraenkel_a_3_1_lattice7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v8_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_lattice7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_yellow_0(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),u1_struct_0(C)) & v1_lattice5(D,B,C) & v2_lattice5(D,B,C) & v3_lattice5(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_1_lattice8(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ? [H] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k5_domain_1(B,B,u1_struct_0(C),u1_struct_0(C),E,F,G,H) & r3_orders_2(C,k3_lattice5(B,C,D,E,F),k13_lattice3(C,G,H)) ) ) ) )).
fof(fraenkel_a_3_1_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,C) & r3_lattices(B,E,k3_lattices(B,D,F)) ) ) ) ) )).
fof(fraenkel_a_3_1_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( r2_hidden(A,a_3_1_lexbfs(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(C,D,E) & r1_xxreal_0(B,E) & r1_xxreal_0(E,k2_xcmplx_0(B,k5_numbers)) ) ) ) )).
fof(fraenkel_a_3_1_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v9_waybel_1(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_lfuzzy_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) ) => ( r2_hidden(A,a_3_1_lfuzzy_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k3_fuzzy_4(B,B,B,C,k5_lfuzzy_0(k2_zfmisc_1(B,B),E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_lopban_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_lopban_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(C,k2_normsp_0(B,k5_algstr_0(B,D,E))) ) ) ) )).
fof(fraenkel_a_3_1_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_1_lpspacc1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) & A = E & r2_tarski(E,k13_lpspacc1(B,C,D)) & r1_lpspacc1(B,C,D,E,k8_funcop_1(k2_numbers,B,k5_complex1)) ) ) ) )).
fof(fraenkel_a_3_1_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_1_lpspace1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = E & r2_tarski(E,k9_lpspace1(B,C,D)) & r1_lpspace1(B,C,D,E,k8_lpspace1(B,k5_numbers)) ) ) ) )).
fof(fraenkel_a_3_1_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_1_lpspace2(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = k13_lpspace1(B,C,D,E) & r2_tarski(E,k9_lpspace1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_1_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k1_mathmorp(B,E,D),C) ) ) ) )).
fof(fraenkel_a_3_1_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v3_group_1(D) & v5_group_1(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l6_algstr_0(D) ) => ( r2_hidden(A,a_3_1_matrix15(B,C,D)) <=> ? [E] : ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),B,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(D))) & A = E ) ) ) )).
fof(fraenkel_a_3_1_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( r2_hidden(A,a_3_1_matrtop1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(k2_xcmplx_0(E,k3_finseq_1(C)),k7_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,B,k4_finseq_1(k7_finseq_1(C,D))),k2_finseq_1(k3_finseq_1(C)))) ) ) ) )).
fof(fraenkel_a_3_1_mazurulm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_mazurulm(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & A = E & v3_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & v1_mazurulm(E,B,B) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),E,C) = C & k3_funct_2(u1_struct_0(B),u1_struct_0(B),E,D) = D ) ) ) )).
fof(fraenkel_a_3_1_mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(B,k2_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(B,k2_numbers)))) ) => ( r2_hidden(A,a_3_1_mesfun9c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_relset_1(B,k4_mesfunc5(B,k2_numbers,D,E)) & r1_xxreal_0(E,C) ) ) ) )).
fof(fraenkel_a_3_1_mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v5_relat_1(D,C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => ( r2_hidden(A,a_3_1_mesfunc8(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_nat_1(k9_setfam_1(B),D,E) & r1_xxreal_0(k5_numbers,E) ) ) ) )).
fof(fraenkel_a_3_1_mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(B,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(B,k6_numbers)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_mesfunc9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_relset_1(B,k4_mesfunc5(B,k6_numbers,C,E)) & r1_xxreal_0(E,k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_3_1_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k1_metric_1(B,C,E),D) ) ) ) )).
fof(fraenkel_a_3_1_mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & v1_xreal_0(D) & v2_xxreal_0(D) ) => ( r2_hidden(A,a_3_1_mfold_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(B),E,C))) ) ) ) )).
fof(fraenkel_a_3_1_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_1_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ? [F] : ( m1_subset_1(F,B) & r1_mmlquery(E,F,C) & r2_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_3_1_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_1_modelc_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ? [F] : ( m1_subset_1(F,B) & r2_tarski(F,D) & r2_hidden(k4_tarski(E,F),C) ) ) ) ) )).
fof(fraenkel_a_3_1_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_rusub_4(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_msafree(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(B,C))) & A = k2_trees_4(u1_struct_0(k5_msafree(B,C)),E) & r2_tarski(E,k6_dtconstr(k5_msafree(B,C))) & k2_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_1_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_msafree2(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,u3_msualg_1(B,C))),k5_trees_3(u1_struct_0(k5_msafree(B,u3_msualg_1(B,C)))),k4_dtconstr(k5_msafree(B,u3_msualg_1(B,C)))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(u3_msualg_1(B,C),D)) & E = k1_trees_4(k4_tarski(F,D)) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = D ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_msafree5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u4_struct_0(C)) & m1_msafree4(F,k3_finseq_2(u1_struct_0(C)),k6_finseq_2(u1_struct_0(C),u3_msualg_1(C,k1_msafree3(C,D))),k3_msualg_1(C,E,k1_msafree3(C,D))) & A = k7_msafree5(C,D,E,F) & ? [G] : ( m2_finseq_1(G,k4_ordinal1) & r1_xxreal_0(k1_wsierp_1(G),B) & k4_finseq_1(G) = k4_finseq_1(k1_msualg_1(C,E)) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(C,k1_msafree3(C,D)))) => ( ( r2_tarski(H,k4_finseq_1(k1_msualg_1(C,E))) & I = k1_funct_1(F,H) ) => k1_funct_1(G,H) = k10_msafree5(C,D,k1_msafree3(C,D),I) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_msaterm(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k4_dtconstr(k5_msafree(B,C))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(C,D)) & E = k1_trees_4(k4_tarski(F,D)) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = D ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_msscyc_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),D)) & A = E & k8_msafree2(B,C,D,E) = k5_numbers ) ) ) )).
fof(fraenkel_a_3_1_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C))))) ) => ( r2_hidden(A,a_3_1_msualg_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)))) & A = E & v2_msualg_4(E,B,C) & v3_msualg_4(E,B,C) & m1_msualg_4(E,u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)) & r4_lattice3(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)),E,D) ) ) ) )).
fof(fraenkel_a_3_1_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_msualg_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(B,C))) & A = k2_trees_4(u1_struct_0(k5_msafree(B,C)),E) & r2_tarski(E,k6_dtconstr(k5_msafree(B,C))) & k2_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_1_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_1_mycielsk(B,C,D)) <=> ? [E] : ( m1_subset_1(E,D) & A = k9_subset_1(B,E,C) & ~ r1_xboole_0(E,C) ) ) ) )).
fof(fraenkel_a_3_1_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_nagata_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_1_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_nagata_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k1_numbers,k3_nagata_2(u1_struct_0(B),C,k3_subset_1(u1_struct_0(B),D)),E) = k5_numbers ) ) ) )).
fof(fraenkel_a_3_1_ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_ncfcont1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_1_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_ndiff_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_1_neckla_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v1_necklace(B) & v3_necklace(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v2_struct_0(D) & l1_orders_2(D) ) => ( r2_hidden(A,a_3_1_neckla_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = E & ~ r2_tarski(k1_domain_1(u1_struct_0(D),u1_struct_0(B),E,C),u1_orders_2(B)) ) ) ) )).
fof(fraenkel_a_3_1_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k4_real_ns1(B))) ) => ( r2_hidden(A,a_3_1_nfcont_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(B))) & A = E & ~ r1_xxreal_0(C,k2_normsp_0(k4_real_ns1(B),k5_algstr_0(k4_real_ns1(B),E,D))) ) ) ) )).
fof(fraenkel_a_3_1_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,D,E)),C) ) ) ) )).
fof(fraenkel_a_3_1_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_1_normsp_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(D,1)),k2_normsp_0(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_1_orders_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) ) => ( r2_hidden(A,a_3_1_orders_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & ! [F] : ( r2_tarski(F,k10_xtuple_0(D)) => ( F != E & r2_hidden(k4_tarski(F,E),B) ) ) ) ) ) )).
fof(fraenkel_a_3_1_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_classes2(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_1_ordinal6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(C),B))) & A = k1_funct_1(k1_funct_1(k5_relat_1(k11_ordinal6(C),B),E),k1_ordinal1(D)) & r2_tarski(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(C),B))) ) ) ) )).
fof(fraenkel_a_3_1_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) ) => ( r2_hidden(A,a_3_1_osafree(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(B,C)),D),E) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( r2_tarski(G,k1_funct_1(C,F)) & D = k4_tarski(G,F) & r3_orders_2(B,F,E) ) ) ) ) ) )).
fof(fraenkel_a_3_1_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_osalg_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_funct_1(C,E) & r3_orders_2(B,E,D) ) ) ) )).
fof(fraenkel_a_3_1_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_osalg_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_funct_1(C,E) & r2_tarski(E,k3_osalg_4(B,D)) ) ) ) )).
fof(fraenkel_a_3_1_partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(C,B) ) => ( r2_hidden(A,a_3_1_partit1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_hidden(k4_tarski(o_1_1_partit1(D),E),k4_partit1(B,C)) ) ) ) )).
fof(fraenkel_a_3_1_pcomps_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_pcomps_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_1_pdiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k4_real_ns1(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_pdiff_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(B))) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(k4_real_ns1(B),k5_algstr_0(k4_real_ns1(B),E,C))) ) ) ) )).
fof(fraenkel_a_3_1_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_pdiff_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_1_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(B,B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_poset_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k6_poset_1(B,B))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(B)) & v2_poset_1(G,B,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & G = F & r2_tarski(F,C) & E = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),G,D),k3_yellow_0(B)) ) ) ) ) ) )).
fof(fraenkel_a_3_1_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & m1_pralg_2(D,B,C) ) => ( r2_hidden(A,a_3_1_pralg_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k6_pralg_2(C,k5_pralg_2(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_1_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & m1_pralg_2(D,B,C) ) => ( r2_hidden(A,a_3_1_pralg_3(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,u1_struct_0(C)) & A = k1_funct_1(u3_msualg_1(C,k5_pralg_2(B,C,D,E)),F) ) ) ) )).
fof(fraenkel_a_3_1_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_trees_1(C) & m1_trees_1(D,B) ) => ( r2_hidden(A,a_3_1_pre_circ(B,C,D)) <=> ? [E] : ( m1_trees_1(E,C) & A = k7_finseq_1(D,E) & E = E ) ) ) )).
fof(fraenkel_a_3_1_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_prelamb(B) & m1_prelamb(C,B) & m1_trees_1(D,k9_xtuple_0(C)) ) => ( r2_hidden(A,a_3_1_prelamb(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k7_finseq_1(D,k9_finseq_1(E)) & r2_tarski(k7_finseq_1(D,k9_finseq_1(E)),k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_3_1_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_subset_1(D,k1_zfmisc_1(B),C) ) => ( r2_hidden(A,a_3_1_prob_3(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),C) & A = E & r2_tarski(k7_subset_1(B,D,E),C) & r2_tarski(k7_subset_1(B,E,D),C) & r2_tarski(k9_subset_1(B,E,D),C) ) ) ) )).
fof(fraenkel_a_3_1_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(D,B) ) => ( r2_hidden(A,a_3_1_pua2mss1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),D) & A = k8_subset_1(B,E,C) & ~ r1_xboole_0(E,C) ) ) ) )).
fof(fraenkel_a_3_1_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_qc_lang1(B))) ) => ( r2_hidden(A,a_3_1_qc_lang3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(k17_qc_lang1(B,C),E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(k17_qc_lang1(B,C))) & r2_tarski(k1_funct_1(k17_qc_lang1(B,C),E),D) ) ) ) )).
fof(fraenkel_a_3_1_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_subset_1(D,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_3_1_qc_lang4(B,C,D)) <=> ? [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(B,C))) & A = E & k5_trees_2(k2_qc_lang4(B,C),E) = k2_qc_lang4(B,D) ) ) ) )).
fof(fraenkel_a_3_1_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_qc_trans(C,B) & m1_qc_lang1(C) & v1_finset_1(D) & m1_subset_1(D,k1_substut1(C)) ) => ( r2_hidden(A,a_3_1_qc_trans(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_qc_lang1(C)) & A = E & r2_tarski(k2_qc_lang3(C,E),k10_xtuple_0(D)) ) ) ) )).
fof(fraenkel_a_3_1_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( r2_hidden(A,a_3_1_rlaffin1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_hidden(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_rlsub_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_1_rlsub_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_1_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_rltopsp1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,k6_xcmplx_0(1,E)),k1_rlvect_1(B,D,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_1_rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( r2_hidden(A,a_3_1_rlvect_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_hidden(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) ) => ( r2_hidden(A,a_3_1_rmod_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k3_rlvect_1(C,k4_struct_0(C),E) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_1_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_1_rmod_4(B,C,D)) <=> ? [E] : ( m2_rmod_4(E,B,C,D) & A = k5_rmod_4(B,C,E) ) ) ) )).
fof(fraenkel_a_3_1_rusub_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_rusub_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_1_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_rusub_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_1_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_1_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) ) => ( r2_hidden(A,a_3_1_scmfsa_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(E) & r2_tarski(E,k10_xtuple_0(k1_funct_7(B,C,D))) ) ) ) )).
fof(fraenkel_a_3_1_scmfsa_x,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_scmfsa_x(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,k7_nat_d(k4_card_1(k11_compos_1(k1_scmfsa_2,k13_scmfsa_2(D,C))),1)) & r2_tarski(E,k2_afinsq_1(k5_compos_1(k1_scmfsa_2,B,k7_nat_d(k4_card_1(k11_compos_1(k1_scmfsa_2,k13_scmfsa_2(D,C))),1)))) ) ) ) )).
fof(fraenkel_a_3_1_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => ( r2_hidden(A,a_3_1_scmpds_9(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,E,k8_scmpds_2(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_1_scmring3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(B))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_scmring3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_amistd_1(k5_card_1(2),k1_scmring2(B),E,k9_scmring2(B,D,C)) ) ) ) )).
fof(fraenkel_a_3_1_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_1_seq_4(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( r2_hidden(A,a_3_1_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(k1_nat_1(B,1),E) ) ) ) )).
fof(fraenkel_a_3_1_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r2_hidden(A,a_3_1_simplex0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r2_hidden(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & v6_simplex0(C,u1_struct_0(B)) & v1_simplex1(C,B) & v2_simplex1(C,B) & m1_simplex0(C,u1_struct_0(B)) & v1_finset_1(D) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_1_simplex1(B,C,D)) <=> ? [E] : ( m3_simplex0(E,k4_simplex1(B,C),k4_card_1(D)) & A = E & r1_tarski(k7_relset_1(k1_orders_1(u1_struct_0(B)),u1_struct_0(B),k2_rlaffin2(B),D),E) & r1_tarski(k3_convex1(B,k1_simplex1(B,k4_simplex1(B,C),E)),k3_convex1(B,k1_simplex1(B,C,k5_setfam_1(u1_struct_0(C),D)))) ) ) ) )).
fof(fraenkel_a_3_1_sppol_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_sppol_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = B & r1_xxreal_0(C,k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),D) ) ) ) )).
fof(fraenkel_a_3_1_sprect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_1_sprect_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),D,B,C),E) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),D,B,C))) ) ) ) )).
fof(fraenkel_a_3_1_sprect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_1_sprect_3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,D,E) & r1_xxreal_0(k1_nat_1(B,1),E) & ~ r1_xxreal_0(C,E) ) ) ) )).
fof(fraenkel_a_3_1_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,C) ) => ( r2_hidden(A,a_3_1_srings_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_tarski(E,k3_tarski(k3_xboole_0(k1_partit1(D),k5_finsub_1(C)))) ) ) ) )).
fof(fraenkel_a_3_1_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_stirl2_1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(k5_card_1(C),k1_seq_4(C)),k2_xboole_0(k5_card_1(B),k1_seq_4(D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k5_card_1(C),k1_seq_4(C)),k2_xboole_0(k5_card_1(B),k1_seq_4(D))))) & A = E & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( k5_card_1(F) = k2_xboole_0(k5_card_1(C),k1_seq_4(C)) & k5_card_1(G) = k2_xboole_0(k5_card_1(B),k1_seq_4(D)) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k5_card_1(F),k5_card_1(G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(F),k5_card_1(G)))) ) => ~ ( H = E & v2_funct_2(H,k5_card_1(G)) & v1_stirl2_1(H,F,G) & ~ ( ~ r1_xxreal_0(F,C) & k1_stirl2_1(F,k5_card_1(G),H,k1_seq_4(k2_stirl2_1(k5_card_1(F),G,H,C))) = k1_seq_4(C) ) ) ) ) ) ) & r1_tarski(k2_relset_1(k2_xboole_0(k5_card_1(B),k1_seq_4(D)),k2_partfun1(k2_xboole_0(k5_card_1(C),k1_seq_4(C)),k2_xboole_0(k5_card_1(B),k1_seq_4(D)),E,k5_card_1(C))),k5_card_1(B)) & k1_funct_1(E,C) = D ) ) ) )).
fof(fraenkel_a_3_1_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) => ( r2_hidden(A,a_3_1_substlat(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k4_partfun1(B,C)) & m1_subset_1(F,k4_partfun1(B,C)) & A = k2_xboole_0(E,F) & r2_tarski(E,D) & r2_tarski(F,k1_tarski(k1_xboole_0)) & r1_partfun1(E,F) ) ) ) )).
fof(fraenkel_a_3_1_substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_3_1_substut2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k5_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_1_topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,k5_topmetr))))) ) => ( r2_hidden(A,a_3_1_topalg_5(B,C,D)) <=> ? [E] : ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(C,E) & ? [F] : ( v3_pre_topc(F,k5_topmetr) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k5_topmetr))) & r2_tarski(k3_borsuk_1(B,k5_topmetr,E,F),D) ) ) ) ) )).
fof(fraenkel_a_3_1_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_1_topdim_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(B),C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_1_topdim_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,E) & ~ r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_1_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_3_1_topgen_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & A = k2_pre_topc(B,k5_setfam_1(u1_struct_0(B),E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_3_1_topgen_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k2_zfmisc_1(k1_zfmisc_1(B),k1_zfmisc_1(B))) & A = k3_xboole_0(k1_xfamily(E),k2_xfamily(E)) & r2_tarski(E,k2_zfmisc_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_1_topreal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_1_topreal1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(B),D,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_1_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = B & r1_xxreal_0(C,k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),D) ) ) ) )).
fof(fraenkel_a_3_1_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_1_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(B),E,C)),D) ) ) ) )).
fof(fraenkel_a_3_1_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k2_topmetr(k5_numbers,1))) ) => ( r2_hidden(A,a_3_1_treal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_topmetr(k5_numbers,1))) & A = E & ~ r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(B,C),k5_xcmplx_0(2)),k3_metric_1(k2_topmetr(k5_numbers,1),D,E)) ) ) ) )).
fof(fraenkel_a_3_1_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & v7_ordinal1(C) & m1_trees_1(D,B) ) => ( r2_hidden(A,a_3_1_trees_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_numbers) & A = k7_finseq_1(D,k9_finseq_1(k6_xcmplx_0(E,1))) & r2_tarski(E,k2_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_3_1_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) & m4_trees_1(D,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_3_1_trees_a(B,C,D)) <=> ? [E] : ? [F] : ( m1_trees_1(E,k9_xtuple_0(B)) & m1_trees_1(F,k9_xtuple_0(C)) & A = k8_finseq_1(k4_ordinal1,E,F) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_uniform1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_1_uniform1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_pcomps_1(B))) & A = E & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r1_xxreal_0(D,F) & E = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,F) ) ) ) ) )).
fof(fraenkel_a_3_1_uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(C,B) & v1_uproots(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_uproots(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),C,k12_polynom3(B,k3_polynom5(B,k5_polynom5(B,k4_algstr_0(B,D),k5_struct_0(B)),E),F)) ) ) ) ) )).
fof(fraenkel_a_3_1_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k2_qc_lang1(B),k3_qc_lang1(B)) & m1_subset_1(D,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_3_1_valuat_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(k1_cqc_lang(B,k17_qc_lang1(B,D),k2_cqc_lang(B,k3_qc_lang3(B,k5_numbers),C)),E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(k1_cqc_lang(B,k17_qc_lang1(B,D),k2_cqc_lang(B,k3_qc_lang3(B,k5_numbers),C)))) & r2_tarski(k1_funct_1(k1_cqc_lang(B,k17_qc_lang1(B,D),k2_cqc_lang(B,k3_qc_lang3(B,k5_numbers),C)),E),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_3_1_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,a_3_1_valued_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,k2_xcmplx_0(C,B)) & r2_tarski(E,k9_xtuple_0(D)) ) ) ) )).
fof(fraenkel_a_3_1_vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_1_vectsp10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k4_struct_0(C) ) ) ) )).
fof(fraenkel_a_3_1_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) ) => ( r2_hidden(A,a_3_1_vectsp_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k3_rlvect_1(C,k4_struct_0(C),E) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_1_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_1_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_1_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,E) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_yellow_0(C,k2_yellow_1(u1_struct_0(B))) & v7_yellow_0(C,k2_yellow_1(u1_struct_0(B))) & v4_waybel_0(C,k2_yellow_1(u1_struct_0(B))) & m1_yellow_0(C,k2_yellow_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(k2_yellow_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_1_waybel13(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_1_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_waybel14(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_waybel_0(B,E) & r2_tarski(k6_waybel_0(B,E),C) & r2_tarski(D,k6_waybel_0(B,E)) ) ) ) )).
fof(fraenkel_a_3_1_waybel15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v11_waybel_1(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_waybel15(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_lattice3(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k7_lattice3(B)))) ) => ( r2_hidden(A,a_3_1_waybel16(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(k7_lattice3(B))) & m1_subset_1(F,u1_struct_0(k7_lattice3(B))) & A = k12_lattice3(k7_lattice3(B),E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_waybel17(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_waybel17(B,C,D))) & A = k2_yellow_0(B,a_4_7_waybel17(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_1_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_waybel19(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k3_subset_1(u1_struct_0(C),k6_waybel_0(C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_waybel20(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k7_yellow_3(B,B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),k3_waybel20(B,C),E),E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_waybel21(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_1_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_yellow_0(C,B) & v8_yellow_0(C,B) & m1_yellow_0(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_1_waybel23(B,C,D)) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) & A = k1_yellow_0(C,E) & r1_yellow_0(C,E) ) ) ) )).
fof(fraenkel_a_3_1_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(C)) & v1_waybel28(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_1_waybel28(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_waybel28(B,C,D))) & A = k2_waybel_0(B,k2_waybel28(B,C,D),E) ) ) ) )).
fof(fraenkel_a_3_1_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & m1_subset_1(C,u1_struct_0(B)) & v1_tops_2(D,B) & v1_yellow_8(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_1_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k4_waybel_0(B,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v4_waybel11(C) & m1_yellow_9(C,B) & v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_1_waybel31(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k2_waybel_3(C,k2_yellow_0(C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_waybel32(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_1_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v2_waybel_0(D,k2_yellow_1(C)) & v13_waybel_0(D,k2_yellow_1(C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(C)))) ) => ( r2_hidden(A,a_3_1_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_waybel_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(B,k2_waybel_0(B,C,E),k2_waybel_0(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_1_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k11_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_waybel_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k13_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_waybel_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_1_waybel_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),C,E),D) ) ) ) )).
fof(fraenkel_a_3_1_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_waybel_5(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_waybel_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v13_waybel_0(C,B) & v1_waybel_6(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_waybel_6(B,C,D)) <=> ? [E] : ( v6_orders_2(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r1_tarski(E,k3_subset_1(u1_struct_0(B),C)) & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_1_waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(B)))) & ~ v1_xboole_0(D) & v1_subset_1(D,u1_struct_0(k2_yellow_1(u1_struct_0(B)))) & v2_waybel_0(D,k2_yellow_1(u1_struct_0(B))) & v13_waybel_0(D,k2_yellow_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(u1_struct_0(B))))) ) => ( r2_hidden(A,a_3_1_waybel_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & v3_pre_topc(E,B) & ~ r1_xboole_0(E,C) & ? [F] : ( r2_tarski(F,D) & r1_xboole_0(E,F) ) ) ) ) )).
fof(fraenkel_a_3_1_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v8_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_waybel_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_1_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_yellow12(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k11_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_1_yellow13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_yellow13(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_yellow19(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_1_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & v2_waybel_0(D,k3_yellow_3(B,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_3_1_yellow_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_yellow_3(B,C))) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k3_yellow_3(B,C))) & r1_orders_2(k3_yellow_3(B,C),F,E) & r2_tarski(F,D) ) ) ) ) )).
fof(fraenkel_a_3_1_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_1_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k10_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_1_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_1_yellow_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_1_yellow_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_cantor_1(C,B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_1_yellow_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,B) & v2_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_1_yellow_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_zfmisc_1(E,u1_struct_0(C)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_1_zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_1_zf_colla(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ! [F] : ( m1_subset_1(F,B) => ~ ( r2_tarski(F,E) & ! [G] : ( v3_ordinal1(G) => ~ ( r2_tarski(G,k9_xtuple_0(k5_relat_1(C,D))) & r2_tarski(F,k3_tarski(k1_tarski(k1_funct_1(k5_relat_1(C,D),G)))) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_1_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_1_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k7_classes2(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_1_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r2_hidden(A,a_3_1_zf_fund2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_tarski(k2_xboole_0(k1_tarski(k4_tarski(k1_xboole_0,E)),k2_partfun1(k4_ordinal1,C,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,C,k2_zf_fund1,D),k7_subset_1(k4_ordinal1,k4_zf_fund1(k2_zf_model(B)),k1_tarski(k1_xboole_0)))),k5_zf_fund1(B,C)) ) ) ) )).
fof(fraenkel_a_3_1_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m2_subset_1(C,k4_ordinal1,k1_zf_lang) & m2_subset_1(D,k4_ordinal1,k1_zf_lang) ) => ( r2_hidden(A,a_3_1_zf_model(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_zf_model(B)) & A = E & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( F = E => r2_tarski(k3_funct_2(k1_zf_lang,B,F,C),k3_funct_2(k1_zf_lang,B,F,D)) ) ) ) ) ) )).
fof(fraenkel_a_3_1_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_subset_1(C,u1_struct_0(B)) & m1_zmodul01(D,B) ) => ( r2_hidden(A,a_3_1_zmodul01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_1_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & v1_zmodul03(C) & l1_zmodul01(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_1_zmodul03(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k13_zmodul02(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_20_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_3_20_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r1_orders_2(B,D,k8_nat_1(u1_struct_0(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_20_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_20_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattice3(B,E,k7_domain_1(u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_3_20_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_20_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,E,C) & r3_lattices(B,k6_algstr_0(B,E,C),D) ) ) ) )).
fof(fraenkel_a_3_20_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_connsp_2(C,B,k4_struct_0(B)) & m1_connsp_2(D,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_3_20_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,k1_tops_1(B,C)) & r2_tarski(F,k1_tops_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_21_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_21_heyting1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,a_3_22_heyting1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_21_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_21_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k4_lattices(B,D,E),k15_lattice3(B,a_3_3_lattice3(B,C,D))) ) ) ) )).
fof(fraenkel_a_3_21_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_21_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,E,D),C) ) ) ) )).
fof(fraenkel_a_3_21_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v2_compts_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_21_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & v3_pre_topc(F,B) & m1_connsp_2(F,B,k4_struct_0(B)) & A = k1_domain_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B)),E,F) & r2_tarski(E,C) & v2_rltopsp1(F,B) & r1_xboole_0(k7_rusub_4(B,k7_rusub_4(B,k5_rusub_4(B,F,E),F),F),D) ) ) ) )).
fof(fraenkel_a_3_21_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_21_yellow_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k11_lattice3(B,E,F) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_22_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_22_heyting1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k7_normform(B)) & A = E & r2_tarski(E,D) & ~ r2_tarski(k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C),k7_normform(B)) ) ) ) )).
fof(fraenkel_a_3_22_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_22_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k7_domain_1(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_22_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_22_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,D,E),C) ) ) ) )).
fof(fraenkel_a_3_22_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_22_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_algstr_0(B,D),E) & r2_tarski(E,k3_subset_1(u1_struct_0(B),C)) ) ) ) )).
fof(fraenkel_a_3_22_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_22_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_23_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_23_heyting1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,D) & ~ r2_tarski(k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C),k7_normform(B)) ) ) ) )).
fof(fraenkel_a_3_23_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_23_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,E,k1_quantal1(B,D,C)),C) ) ) ) )).
fof(fraenkel_a_3_23_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v1_relat_1(C) & v1_funct_1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_23_rltopsp1(B,C,D)) <=> ? [E] : ( v3_pre_topc(E,B) & m1_connsp_2(E,B,k4_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(k5_rusub_4(B,E,F),D) & r2_tarski(k1_domain_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B)),F,E),k10_xtuple_0(C)) ) ) ) ) )).
fof(fraenkel_a_3_23_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_23_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_24_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_24_heyting1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k7_normform(B)) & A = E & r2_hidden(E,D) & ~ r2_tarski(k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C),k7_normform(B)) ) ) ) )).
fof(fraenkel_a_3_24_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_24_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,k2_quantal1(B,D,C),E),C) ) ) ) )).
fof(fraenkel_a_3_24_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v1_relat_1(C) & v1_funct_1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_24_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & v3_pre_topc(F,B) & m1_connsp_2(F,B,k4_struct_0(B)) & A = k7_rusub_4(B,k5_rusub_4(B,F,E),F) & r2_tarski(k5_rusub_4(B,F,E),D) & r2_tarski(k1_domain_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B)),E,F),k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_3_24_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_24_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_25_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_25_heyting1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k7_normform(B)) & m1_subset_1(F,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,F) & F = C & r2_tarski(E,a_3_9_heyting1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_25_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_25_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,E,k6_algstr_0(B,D,k2_quantal1(B,C,C))),C) ) ) ) )).
fof(fraenkel_a_3_25_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_25_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_25_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_25_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k4_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_26_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_26_heyting1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,a_3_9_heyting1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_26_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_26_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k6_algstr_0(B,k6_algstr_0(B,k1_quantal1(B,C,C),D),E),C) ) ) ) )).
fof(fraenkel_a_3_26_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v2_compts_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_26_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_26_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_26_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k11_lattice3(B,D,E) & r2_tarski(E,k5_yellow_3(B,B,C)) ) ) ) )).
fof(fraenkel_a_3_27_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_27_heyting1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k7_normform(B)) & m1_subset_1(F,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,F) & r2_tarski(E,a_3_9_heyting1(B,C,D)) & r2_tarski(F,k2_heyting1(B,C)) ) ) ) )).
fof(fraenkel_a_3_27_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v3_ideal_1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_27_ideal_1(B,C,D)) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & A = k4_rlvect_1(B,E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( k1_funct_1(E,F) = k6_algstr_0(B,G,H) & r2_tarski(G,C) & r2_tarski(H,D) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_27_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_27_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_quantal1(B,E) & r2_tarski(E,k7_domain_1(u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_3_27_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_connsp_2(D,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_3_27_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k1_convex1(B,k1_tops_1(B,D),k4_xcmplx_0(1))) ) ) ) )).
fof(fraenkel_a_3_27_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_27_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,E,F) & r2_tarski(F,k4_yellow_4(B,k3_waybel_0(B,C),k3_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_28_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_28_heyting1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C) & r2_tarski(E,D) & ~ r2_hidden(k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C),k7_normform(B)) ) ) ) )).
fof(fraenkel_a_3_28_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v3_ideal_1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_28_ideal_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_28_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_28_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,k5_quantal1(B,C),E) & r2_tarski(E,a_2_0_quantal1(B,D)) ) ) ) )).
fof(fraenkel_a_3_28_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_connsp_2(D,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_3_28_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,C,E) & r2_tarski(E,k1_tops_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_28_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_28_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,E,F) & r2_tarski(F,k4_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_29_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v3_ideal_1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_29_ideal_1(B,C,D)) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & A = k4_rlvect_1(B,E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( k1_funct_1(E,F) = k8_group_1(B,G,H) & r2_tarski(G,C) & r2_tarski(H,D) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_29_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_29_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,k5_quantal1(B,C),k5_quantal1(B,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_29_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_connsp_2(D,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_3_29_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_29_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_29_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r3_orders_2(B,E,F) & r2_tarski(F,k4_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_2_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B))))) ) => ( r2_hidden(A,a_3_2_abian(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & A = k1_mcart_1(k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B),k3_funct_2(k8_eqrel_1(B,k2_abian(B,C)),k9_mcart_1(k1_zfmisc_1(B),k1_zfmisc_1(B),k1_zfmisc_1(B),k9_setfam_1(B),k9_setfam_1(B),k9_setfam_1(B)),D,E)) ) ) ) )).
fof(fraenkel_a_3_2_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v2_ami_wstd(C,B) & l1_extpro_1(C,B) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(C)) & v1_funct_1(D) & v1_finset_1(D) & v5_ami_wstd(D,B,C) ) => ( r2_hidden(A,a_3_2_ami_wstd(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(k1_ami_wstd(B,C,E),k1_relset_1(k4_ordinal1,D)) ) ) ) )).
fof(fraenkel_a_3_2_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_compos_1(k4_amistd_1(B))) ) => ( r2_hidden(A,a_3_2_amistd_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_card_3(k2_memstr_0(B,k4_amistd_1(B)))) & A = k5_memstr_0(B,k4_amistd_1(B),k2_extpro_1(B,k4_amistd_1(B),D,E)) & k5_memstr_0(B,k4_amistd_1(B),E) = C ) ) ) )).
fof(fraenkel_a_3_2_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_aofa_000(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,E))) & r1_tarski(k2_relset_1(u1_struct_0(B),F),k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,D)) ) ) ) )).
fof(fraenkel_a_3_2_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_2_armstrng(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r2_tarski(E,C) & r1_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_2_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v3_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_asympt_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k6_real_1(k8_nat_1(k1_numbers,C,E),k8_nat_1(k1_numbers,B,E)) & ~ r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_2_bhsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_bhsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_bhsp_1(B,k5_algstr_0(B,C,E)) = D ) ) ) )).
fof(fraenkel_a_3_2_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & l1_vectsp_1(C,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_2_bilinear(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) = k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_2_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_borsuk_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & k9_subset_1(u1_struct_0(B),E,D) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_2_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_compts_1(C) & l1_pre_topc(C) & v3_pre_topc(D,k2_borsuk_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C)))) ) => ( r2_hidden(A,a_3_2_borsuk_3(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,E,F) & r1_tarski(k3_borsuk_1(B,C,E,F),D) & v3_pre_topc(E,B) & v3_pre_topc(F,C) ) ) ) )).
fof(fraenkel_a_3_2_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)))) & m1_subset_1(D,k6_card_fil(B)) ) => ( r2_hidden(A,a_3_2_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k2_binop_1(k6_card_fil(B),B,k9_setfam_1(B),C,D,E) & r2_tarski(E,B) ) ) ) )).
fof(fraenkel_a_3_2_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_3_2_card_fin(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = E & ~ r2_hidden(D,k2_relset_1(C,E)) ) ) ) )).
fof(fraenkel_a_3_2_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(B)) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_2_card_lar(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k1_ordinal1(E) & r2_tarski(E,C) & r2_tarski(D,k1_ordinal1(E)) ) ) ) )).
fof(fraenkel_a_3_2_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v1_cat_6(D) & v8_cat_6(D) & v9_cat_6(D) & v10_cat_6(D) & l1_cat_6(D) ) => ( r2_hidden(A,a_3_2_cat_7(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ( m1_subset_1(E,k1_cat_6(D)) & m1_subset_1(F,k1_cat_6(D)) & m1_subset_1(G,k1_cat_6(D)) & A = k4_tarski(k4_tarski(E,F),G) & r2_tarski(E,u1_struct_0(D)) & r2_tarski(F,u1_struct_0(D)) & r2_tarski(G,u1_struct_0(D)) & ! [H] : ( m1_subset_1(H,k1_cat_6(B)) => ! [I] : ( m1_subset_1(I,k1_cat_6(B)) => ! [J] : ( m1_subset_1(J,k1_cat_6(B)) => ! [K] : ( m1_subset_1(K,k1_cat_6(C)) => ! [L] : ( m1_subset_1(L,k1_cat_6(C)) => ! [M] : ( m1_subset_1(M,k1_cat_6(C)) => ( ( E = k4_tarski(H,K) & F = k4_tarski(I,L) & G = k4_tarski(J,M) ) => ( r1_cat_6(B,H,I) & r1_cat_6(C,K,L) & J = k2_cat_6(B,H,I) & M = k2_cat_6(C,K,L) ) ) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_2_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => ( r2_hidden(A,a_3_2_cc0sp2(B,C,D)) <=> ? [E] : ( v1_xcmplx_0(E) & A = E & ~ r1_xxreal_0(k7_xcmplx_0(B,k2_xcmplx_0(k2_xcmplx_0(k9_complex1(C),k9_complex1(D)),1)),k9_complex1(k6_xcmplx_0(E,D))) ) ) ) )).
fof(fraenkel_a_3_2_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_cgames_1(C) & v2_cgames_1(D) ) => ( r2_hidden(A,a_3_2_cgames_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_cgames_1(D)) & A = k1_funct_1(k5_relat_1(B,k10_cgames_1(C)),E) & k6_cgames_1(D) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_2_classes1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_2_classes1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_classes1(B)) & A = E & ? [F] : ( m1_subset_1(F,k1_classes1(B)) & r2_tarski(F,k1_funct_1(C,D)) & r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_3_2_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( r2_hidden(A,a_3_2_closure2(B,C,D)) <=> ? [E] : ( m1_closure2(E,B,C,k2_closure2(B,C)) & A = k1_funct_1(E,D) & r2_tarski(E,k2_closure2(B,C)) ) ) ) )).
fof(fraenkel_a_3_2_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_clvect_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k11_csspace(B,k5_algstr_0(B,C,E)) = D ) ) ) )).
fof(fraenkel_a_3_2_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_3_2_combgras(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & A = E & k1_card_1(E) = B & r1_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_2_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_2_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( r2_hidden(A,a_3_2_compos_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,k7_nat_d(k4_card_1(C),1)) & r2_tarski(E,k2_afinsq_1(k5_compos_1(B,D,k7_nat_d(k4_card_1(C),1)))) ) ) ) )).
fof(fraenkel_a_3_2_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u4_struct_0(B))) ) => ( r2_hidden(A,a_3_2_conlat_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r2_tarski(F,u2_conlat_1(B,g2_conlat_1(B,C,D))) => r1_conlat_1(B,F,E) ) ) ) ) ) )).
fof(fraenkel_a_3_2_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(k1_bhsp_1(B,E,C),D) ) ) ) )).
fof(fraenkel_a_3_2_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_2_convex2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k9_subset_1(k4_ordinal1,k4_finseq_1(C),k4_finseq_1(D))) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G = k1_funct_1(C,F) & r1_xxreal_0(k1_funct_1(D,F),k1_bhsp_1(B,E,G)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_2_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(k3_complex1(k10_csspace(B,E,C)),D) ) ) ) )).
fof(fraenkel_a_3_2_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_2_domain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ( r2_tarski(E,C) | r2_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_3_2_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_dualsp01(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_dualsp02(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & v1_xreal_0(F) & A = k3_rlvect_1(B,E,k1_rlvect_1(B,D,F)) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_2_euclid_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_euclid_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))) = D ) ) ) )).
fof(fraenkel_a_3_2_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_fcont_1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k6_xcmplx_0(C,k7_xcmplx_0(k3_xxreal_0(D,k6_xcmplx_0(C,B)),2)),E) & r1_xxreal_0(E,k2_xcmplx_0(C,k7_xcmplx_0(k3_xxreal_0(D,k6_xcmplx_0(C,B)),2))) ) ) ) )).
fof(fraenkel_a_3_2_fcont_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_fcont_2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k1_funct_1(C,D),E) & r1_xxreal_0(E,k1_funct_1(C,B)) ) ) ) )).
fof(fraenkel_a_3_2_fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_fdiff_2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,k6_xcmplx_0(k3_xxreal_0(C,D),1)) & ~ r1_xxreal_0(B,E) ) ) ) )).
fof(fraenkel_a_3_2_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_fdiff_3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(B,E) & r1_xxreal_0(E,k2_xcmplx_0(B,k7_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_3_2_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_filter_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,C,E) & r3_lattices(B,E,D) ) ) ) )).
fof(fraenkel_a_3_2_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & k3_funct_2(B,k1_numbers,C,E) = D ) ) ) )).
fof(fraenkel_a_3_2_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,a_3_2_finseq_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_nat_1(k3_finseq_1(B),E) & r2_tarski(E,k8_relat_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_2_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_fomodel1(B,C,D)) <=> ? [E] : ( v10_fomodel1(E,C) & m1_subset_1(E,k1_fomodel1(C)) & A = k24_fomodel1(C,E,k1_funct_1(k25_fomodel1(C),k2_xcmplx_0(B,D))) & v6_fomodel1(E,C) ) ) ) )).
fof(fraenkel_a_3_2_freealg,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_freealg(C) & m5_margrel1(D,u1_struct_0(k7_freealg(B,C)),k1_unialg_2(k7_freealg(B,C))) ) => ( r2_hidden(A,a_3_2_freealg(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,u1_struct_0(k7_freealg(B,C)),k3_finseq_2(u1_struct_0(k7_freealg(B,C)))) & A = E & k3_finseq_1(E) = k18_margrel1(D) ) ) ) )).
fof(fraenkel_a_3_2_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v2_struct_0(D) & v8_struct_0(D) & l2_fsm_1(D,B,C) ) => ( r2_hidden(A,a_3_2_fsm_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = E & v6_fsm_1(E,B,C,D) ) ) ) )).
fof(fraenkel_a_3_2_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_2_goboard5(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_2_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_3_2_goboard6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) & A = E & ~ r1_xxreal_0(k6_xcmplx_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C),k3_metric_1(k14_euclid(2),D,E)) ) ) ) )).
fof(fraenkel_a_3_2_gobrd11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_2_gobrd11(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1))),F) ) ) ) )).
fof(fraenkel_a_3_2_gobrd12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_gobrd12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),C,k1_nat_1(D,1))),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(C,1),k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_3_2_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_2_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),F) ) ) ) )).
fof(fraenkel_a_3_2_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_henmodel(C,B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_cqc_lang(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(B)))) ) => ( r2_hidden(A,a_3_2_goedelcp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_qc_lang1(B)) & A = E & ~ r2_tarski(k2_qc_lang3(B,E),k6_goedelcp(B,k4_subset_1(k3_cqc_lang(B),C,k6_domain_1(k3_cqc_lang(B),k3_funct_2(k4_ordinal1,k3_cqc_lang(B),D,k5_numbers))))) ) ) ) )).
fof(fraenkel_a_3_2_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_graph_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_3_2_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_graph_4(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) ) ) )).
fof(fraenkel_a_3_2_group_11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_group_2(C,B) & m1_group_2(D,B) ) => ( r2_hidden(A,a_3_2_group_11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k13_group_2(B,D,E),k8_group_2(B,C)) ) ) ) )).
fof(fraenkel_a_3_2_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v15_algstr_0(D) & m1_group_2(D,C) ) => ( r2_hidden(A,a_3_2_group_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k4_tarski(E,k2_partfun1(u1_struct_0(C),u1_struct_0(C),k3_group_9(B,C,E),u1_struct_0(D))) ) ) ) )).
fof(fraenkel_a_3_2_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m1_subset_1(D,k5_finsub_1(k7_normform(B))) ) => ( r2_hidden(A,a_3_2_heyting1(B,C,D)) <=> ? [E] : ( m2_funct_2(E,k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k9_funct_2(k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)))) & A = k6_normform(k7_normform(B),B,C,k6_funcop_1(k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B),k5_heyting1(B),E,k6_funct_3(k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)))) & r1_tarski(k8_setwiseo(k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),E,C),D) ) ) ) )).
fof(fraenkel_a_3_2_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_3_2_heyting2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(B,C)) & A = k9_xtuple_0(E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_ideal_1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_2_integra2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_integra1(C,B) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_integra2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k1_funct_1(C,k6_xcmplx_0(D,1)),E) & r1_xxreal_0(E,k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_2_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_jgraph_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))),D) ) ) ) )).
fof(fraenkel_a_3_2_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_jordan12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),D,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(D,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,C))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(C,1))),F) ) ) ) )).
fof(fraenkel_a_3_2_jordan1i,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_jordan1i(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k7_nat_d(C,1),1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,D))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_nat_1(D,1))),F) ) ) ) )).
fof(fraenkel_a_3_2_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_2_jordan2c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ ( E != D & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(B))))) ) => ~ ( v5_pre_topc(F,k5_topmetr,k15_euclid(B)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(B)),F),C) & k1_funct_1(F,k5_numbers) = D & k1_funct_1(F,1) = E ) ) ) ) ) ) )).
fof(fraenkel_a_3_2_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_jordan5a(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,k6_xcmplx_0(C,k3_xxreal_0(k6_xcmplx_0(B,C),D))) & ~ r1_xxreal_0(k2_xcmplx_0(C,k3_xxreal_0(k6_xcmplx_0(B,C),D)),E) ) ) ) )).
fof(fraenkel_a_3_2_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_jordan8(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),k3_finseq_1(k1_jordan8(B,D)),1)),E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_2_jordan9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_jordan9(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),D))) ) ) ) )).
fof(fraenkel_a_3_2_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_2_jordan_a(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),C,E) & r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),E,D) ) ) ) )).
fof(fraenkel_a_3_2_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_laplace(B,C,D)) <=> ? [E] : ( m1_matrix_1(E,k9_matrix_1(k1_nat_1(D,1))) & A = E & k1_funct_1(E,B) = C ) ) ) )).
fof(fraenkel_a_3_2_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k4_lattices(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,C) & r3_lattices(B,k4_lattices(B,D,F),E) ) ) ) ) )).
fof(fraenkel_a_3_2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) ) => ( r2_hidden(A,a_3_2_lfuzzy_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),E),C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_2_lpspacc1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) & A = k17_lpspacc1(B,C,D,E) & r2_tarski(E,k13_lpspacc1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_2_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ( r2_hidden(A,a_3_2_lpspace1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = k13_lpspace1(B,C,D,E) & r2_tarski(E,k9_lpspace1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_2_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & l1_rlvect_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_2_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k1_rlvect_1(C,E,B) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & m2_finseq_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_matrix15(B,C,D)) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & A = E & r2_tarski(k3_matrix15(u1_struct_0(B),E),k4_matrix15(B,C,k3_matrix15(u1_struct_0(B),D))) ) ) ) )).
fof(fraenkel_a_3_2_mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(B,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(B,k1_numbers)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_mesfun9c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_relset_1(B,k4_mesfunc5(B,k6_numbers,k1_mesfun7c(B,C),E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_2_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k1_metric_1(B,C,E) = D ) ) ) )).
fof(fraenkel_a_3_2_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_2_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k15_funcop_1(k1_mmlquery(B,C,E),k1_xboole_0,k1_tarski(E),k1_xboole_0) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_3_2_modelc_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_hidden(k4_tarski(D,E),C) ) ) ) )).
fof(fraenkel_a_3_2_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_rusub_4(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_msafree(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(B,u3_msualg_1(B,C)))) & A = k2_trees_4(u1_struct_0(k5_msafree(B,u3_msualg_1(B,C))),E) & r2_tarski(E,k6_dtconstr(k5_msafree(B,u3_msualg_1(B,C)))) & k2_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_2_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) ) => ( r2_hidden(A,a_3_2_msafree2(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k4_dtconstr(k5_msafree(B,C))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(C,k2_msualg_1(B,D))) & E = k1_trees_4(k4_tarski(F,k2_msualg_1(B,D))) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = k2_msualg_1(B,D) ) ) ) ) ) ) )).
fof(fraenkel_a_3_2_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_2_msafree5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u4_struct_0(C)) & m1_msafree4(F,k3_finseq_2(u1_struct_0(C)),k6_finseq_2(u1_struct_0(C),u3_msualg_1(C,k1_msafree3(C,D))),k3_msualg_1(C,E,k1_msafree3(C,D))) & A = k7_msafree5(C,D,E,F) & r1_tarski(k3_tarski(a_4_0_msafree5(C,D,E,F)),B) ) ) ) )).
fof(fraenkel_a_3_2_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_dtconstr(D,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) ) => ( r2_hidden(A,a_3_2_msaterm(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k4_dtconstr(k5_msafree(B,C))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(C,k7_msaterm(B,C,D))) & E = k1_trees_4(k4_tarski(F,k7_msaterm(B,C,D))) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = k7_msaterm(B,C,D) ) ) ) ) ) ) )).
fof(fraenkel_a_3_2_msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_2_msscyc_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(B)) & A = k1_funct_1(k5_msualg_1(B,E,C),k1_xboole_0) & r2_tarski(E,a_2_1_msscyc_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_2_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_msualg_5(B,C)))) ) => ( r2_hidden(A,a_3_2_msualg_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C))))) & A = k15_lattice3(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)),E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) ) ) ) )).
fof(fraenkel_a_3_2_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v3_necklace(C) & m1_mycielsk(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_2_mycielsk(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k2_xcmplx_0(E,B) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(B,B)))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(B,B))))) ) => ( r2_hidden(A,a_3_2_nagata_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(B,B))))) & A = E & r2_tarski(E,C) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_2_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_relat_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_nagata_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k8_metric_1(B,E,k7_xcmplx_0(1,2)) & r2_tarski(E,k7_subset_1(u1_struct_0(B),D,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(B)),C,D))) & r1_tarski(k8_metric_1(B,E,k7_xcmplx_0(3,2)),D) ) ) ) )).
fof(fraenkel_a_3_2_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_ndiff_5(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,k6_xcmplx_0(1,E)),k1_rlvect_1(B,D,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_2_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m1_subset_1(D,k5_finsub_1(k7_normform(B))) ) => ( r2_hidden(A,a_3_2_normform(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m2_subset_1(F,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),F,E) & r2_tarski(F,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_2_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_2_normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_normsp_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_2_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_classes2(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_2_ordinal6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(C),B))) & A = k1_funct_1(k1_funct_1(k5_relat_1(k11_ordinal6(C),B),E),D) & r2_tarski(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(C),B))) ) ) ) )).
fof(fraenkel_a_3_2_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_osafree(B,C,D)) <=> ? [E] : ? [F] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & m1_dtconstr(F,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & A = k4_tarski(E,F) & r2_hidden(k4_tarski(E,D),k3_funct_2(k4_dtconstr(k2_osafree(B,C)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B))),k19_osafree(B,C),F)) ) ) ) )).
fof(fraenkel_a_3_2_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v12_osalg_1(C,B) & l3_msualg_1(C,B) & m2_osalg_2(D,B,C) ) => ( r2_hidden(A,a_3_2_osalg_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k5_msualg_2(B,C,D)) & A = E & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(B)) & v11_osalg_1(E,B) ) ) ) )).
fof(fraenkel_a_3_2_partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(C,B) ) => ( r2_hidden(A,a_3_2_partit1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),C) & A = E & ? [F] : ( r2_tarski(F,D) & k8_subset_1(B,E,F) != k1_xboole_0 ) ) ) ) )).
fof(fraenkel_a_3_2_pcomps_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_pcomps_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,k1_pcomps_1(B,C)) & ~ r1_xboole_0(E,D) ) ) ) )).
fof(fraenkel_a_3_2_pdiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_pdiff_6(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) & A = E & ~ r1_xxreal_0(D,k12_euclid(k8_euclid(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_2_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k4_real_ns1(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_pdiff_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(B))) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(k4_real_ns1(B),k5_algstr_0(k4_real_ns1(B),E,C))) ) ) ) )).
fof(fraenkel_a_3_2_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & v3_petri_2(B) & v4_petri_3(B) & l1_petri_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k4_petri_3(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k4_petri_3(B)))) & m1_subset_1(D,u4_struct_0(B)) ) => ( r2_hidden(A,a_3_2_petri_3(B,C,D)) <=> ? [E] : ( m1_petri_2(E,u1_petri_2(B),k8_petri(B,k6_domain_1(u4_struct_0(B),D))) & A = E & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k5_petri_2(u1_petri_2(B),k8_petri(B,k6_domain_1(u4_struct_0(B),D)),E),u1_petri_2(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_petri_2(u1_petri_2(B),k8_petri(B,k6_domain_1(u4_struct_0(B),D)),E),u1_petri_2(B)))) & r2_petri_3(B,C,D,E,F) ) ) ) ) )).
fof(fraenkel_a_3_2_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(B,B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_poset_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k6_poset_1(B,B))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(B)) & v2_poset_1(G,B,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & G = F & r2_tarski(F,C) & E = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),G,k2_xcmplx_0(D,1)),k3_yellow_0(B)) ) ) ) ) ) )).
fof(fraenkel_a_3_2_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) & m5_margrel1(D,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_3_2_pralg_1(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),k3_finseq_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & A = E & k3_finseq_1(E) = k18_margrel1(D) ) ) ) )).
fof(fraenkel_a_3_2_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_funcop_1(D) ) => ( r2_hidden(A,a_3_2_pralg_3(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(C)) & m1_subset_1(F,B) & A = k1_funct_1(k1_funct_1(D,F),E) ) ) ) )).
fof(fraenkel_a_3_2_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_trees_1(C) & m1_trees_1(D,B) ) => ( r2_hidden(A,a_3_2_pre_circ(B,C,D)) <=> ? [E] : ( m1_trees_1(E,C) & A = k7_finseq_1(D,E) ) ) ) )).
fof(fraenkel_a_3_2_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_2_prob_3(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(B),C) & A = E & r2_tarski(k7_subset_1(B,D,E),C) & r2_tarski(k7_subset_1(B,E,D),C) & r2_tarski(k9_subset_1(B,E,D),C) ) ) ) )).
fof(fraenkel_a_3_2_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_qc_lang1(C) & v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(C)) ) => ( r2_hidden(A,a_3_2_qc_lang3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k5_qc_lang1(C)) ) ) ) )).
fof(fraenkel_a_3_2_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_trees_2(D,k9_xtuple_0(k2_qc_lang4(B,C))) ) => ( r2_hidden(A,a_3_2_qc_lang4(B,C,D)) <=> ? [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(B,C))) & A = k3_trees_2(k9_qc_lang1(B),k2_qc_lang4(B,C),E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_qc_trans(C,B) & m1_qc_lang1(C) & m2_subset_1(D,k9_qc_lang1(C),k3_cqc_lang(C)) ) => ( r2_hidden(A,a_3_2_qc_trans(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_qc_lang1(C)) & A = E & r2_tarski(k2_qc_lang3(C,E),k9_substut1(C,D)) ) ) ) )).
fof(fraenkel_a_3_2_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_2_rlsub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(D,F) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_2_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_rltopsp1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,k6_xcmplx_0(1,E)),k1_rlvect_1(B,D,E)) ) ) ) )).
fof(fraenkel_a_3_2_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) ) => ( r2_hidden(A,a_3_2_rusub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r1_struct_0(D,E) & r1_struct_0(C,F) ) ) ) )).
fof(fraenkel_a_3_2_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_3(C,B) & m2_finseq_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_rusub_4(B,C,D)) <=> ? [E] : ( m2_rlvect_2(E,B,C) & A = k3_rlvect_2(B,E) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & r2_tarski(F,k4_finseq_1(D)) & k6_rlvect_2(B,E) = k1_funct_1(D,F) ) ) ) ) )).
fof(fraenkel_a_3_2_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),k4_algstr_0(B,D))) ) ) ) )).
fof(fraenkel_a_3_2_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) ) => ( r2_hidden(A,a_3_2_scmfsa_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_compos_1(k1_scmfsa_2)) & A = k1_sf_mastr(E) & r2_tarski(E,k2_relset_1(u1_compos_1(k1_scmfsa_2),k1_funct_7(B,C,D))) ) ) ) )).
fof(fraenkel_a_3_2_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => ( r2_hidden(A,a_3_2_scmpds_9(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_amistd_1(k5_card_1(2),k1_scmpds_2,E,k9_scmpds_2(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_2_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_scmyciel(B) & v11_scmyciel(B) & v1_finset_1(C) & v10_scmyciel(C,B) & m1_eqrel_1(C,k3_tarski(B)) & v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,a_3_2_scmyciel(B,C,D)) <=> ? [E] : ( m1_card_lar(E,k3_tarski(B),C) & A = k2_xboole_0(E,k1_funct_1(D,E)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_2_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_seq_4(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & A = E & ~ r1_xxreal_0(D,k22_seq_4(B,E,C)) ) ) ) )).
fof(fraenkel_a_3_2_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( r2_hidden(A,a_3_2_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(B,E) ) ) ) )).
fof(fraenkel_a_3_2_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r2_hidden(A,a_3_2_simplex0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r2_xboole_0(E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_2_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_2_simplex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k1_rlaffin2(B,E) & r1_tarski(E,k1_simplex1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_2_sprect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_2_sprect_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,D,E) & r1_xxreal_0(B,E) & ~ r1_xxreal_0(C,E) ) ) ) )).
fof(fraenkel_a_3_2_sprect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_2_sprect_3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_topreal1(2,D,E) & r1_xxreal_0(B,E) & ~ r1_xxreal_0(k7_nat_d(C,1),E) ) ) ) )).
fof(fraenkel_a_3_2_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_3_2_srings_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_stirl2_1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = E & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & F = E & v2_funct_2(F,k5_card_1(B)) & v1_stirl2_1(F,k1_nat_1(C,1),B) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(B),F,k1_seq_4(k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,F,C))) != k1_seq_4(C) ) & k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,E,C) = D ) ) ) )).
fof(fraenkel_a_3_2_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_topdim_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(B),C,E) & ~ r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_2_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_tops_2(D,B) & v1_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_2_topgen_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,D) & ? [F] : ( r2_tarski(F,C) & r1_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_3_2_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_3_2_topgen_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k2_zfmisc_1(k1_zfmisc_1(B),k1_zfmisc_1(B))) & A = k2_xboole_0(k1_xfamily(E),k2_xfamily(E)) & r2_tarski(E,k2_zfmisc_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_2_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = B & r1_xxreal_0(D,k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),C) ) ) ) )).
fof(fraenkel_a_3_2_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_2_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & k12_euclid(k5_algstr_0(k15_euclid(B),E,C)) = D ) ) ) )).
fof(fraenkel_a_3_2_uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(D,B) & v1_uproots(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_2_uproots(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),D,k12_polynom3(B,k3_polynom5(B,k5_polynom5(B,k4_algstr_0(B,C),k5_struct_0(B)),E),F)) ) ) ) ) )).
fof(fraenkel_a_3_2_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_2_valued_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,D) & r2_tarski(E,k9_xtuple_0(k3_relat_1(B,C))) ) ) ) )).
fof(fraenkel_a_3_2_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_6(D,B,C) ) => ( r2_hidden(A,a_3_2_vectsp_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_2_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_2_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_waybel11(B,C,D))) & A = k2_waybel_0(B,k3_waybel11(B,C,D),E) ) ) ) )).
fof(fraenkel_a_3_2_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,E) & r2_tarski(E,k1_finsub_1(k1_zfmisc_1(k4_ordinal1),k6_domain_1(k4_ordinal1,k5_numbers),k2_finseq_1(D))) ) ) ) )).
fof(fraenkel_a_3_2_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_yellow_1(C) & v4_waybel_3(C) & v5_waybel_3(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) ) => ( r2_hidden(A,a_3_2_waybel13(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_yellow_1(B,C))) & A = E & r1_orders_2(k4_yellow_1(B,C),E,D) & v1_waybel_3(E,k4_yellow_1(B,C)) ) ) ) )).
fof(fraenkel_a_3_2_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(k1_yellow_1(k5_waybel11(B)))) ) => ( r2_hidden(A,a_3_2_waybel14(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_waybel16(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_2_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_waybel17(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_waybel17(B,C,D))) & A = k12_lattice3(B,C,D) ) ) ) )).
fof(fraenkel_a_3_2_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(k3_yellow_9(B,C))) ) => ( r2_hidden(A,a_3_2_waybel21(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_yellow_9(B,C))) & A = k2_waybel_0(B,k3_yellow_9(B,C),E) & r1_orders_2(k3_yellow_9(B,C),D,E) ) ) ) )).
fof(fraenkel_a_3_2_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_yellow_0(C,B) & v6_yellow_0(C,B) & m1_yellow_0(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_2_waybel23(B,C,D)) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) & A = k1_yellow_0(C,E) & r1_yellow_0(C,E) ) ) ) )).
fof(fraenkel_a_3_2_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) ) => ( r2_hidden(A,a_3_2_waybel28(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = k2_yellow_0(B,a_4_0_waybel28(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_2_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v4_waybel11(C) & m1_yellow_9(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k2_yellow_0(C,E) & r2_tarski(D,E) & r2_tarski(E,k5_waybel11(C)) ) ) ) )).
fof(fraenkel_a_3_2_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v4_waybel11(C) & m1_yellow_9(C,B) & v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_2_waybel31(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k2_yellow_0(C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_2_waybel32(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_2_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_2_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_2_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_orders_2(B,k12_lattice3(B,C,E),D) ) ) ) )).
fof(fraenkel_a_3_2_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k3_yellow_3(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,k5_yellow_3(B,B,C)) ) ) ) )).
fof(fraenkel_a_3_2_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,a_3_2_waybel_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_funct_1(k8_funct_7(D,E),o_2_4_waybel_3(B,C)) ) ) ) )).
fof(fraenkel_a_3_2_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_waybel_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,E,F) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_2_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v4_funct_1(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_waybel_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & k1_funct_1(E,D) = 1 ) ) ) )).
fof(fraenkel_a_3_2_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_waybel_9(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(C)) & m1_subset_1(F,u1_struct_0(k8_yellow_6(B,D))) & A = k1_domain_1(u1_struct_0(C),u1_struct_0(k8_yellow_6(B,D)),E,F) & r2_tarski(k2_waybel_0(B,C,E),F) ) ) ) )).
fof(fraenkel_a_3_2_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_yellow12(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k13_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_2_yellow13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m2_yellow13(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_yellow13(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,k1_tdlat_2(B,C)) & r1_tarski(k1_tops_1(B,E),D) ) ) ) )).
fof(fraenkel_a_3_2_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_yellow_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k11_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_2_yellow_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_cantor_1(C,B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_2_yellow_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,k1_tops_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_2_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r2_hidden(A,a_3_2_yellow_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_2_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_2_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k9_classes2(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_2_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( r2_hidden(A,a_3_2_zf_fund2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_zf_model(B,k2_zf_lang1(B,k2_zf_lang1(B,D,k2_zf_lang(1),C),k2_zf_lang(k5_numbers),E),k7_zf_lang(k2_zf_lang(2),k10_zf_lang(k4_zf_lang(k2_zf_lang(2),k2_zf_lang(k5_numbers)),k4_zf_lang(k2_zf_lang(2),k2_zf_lang(1))))) ) ) ) )).
fof(fraenkel_a_3_2_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_3_2_zf_model(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_zf_model(B)) & A = E & ! [F] : ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_zf_lang,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ( F = D & G = E ) => ( r2_tarski(G,F) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_zf_lang,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ! [I] : ( m2_subset_1(I,k4_ordinal1,k1_zf_lang) => ( k3_funct_2(k1_zf_lang,B,H,I) != k3_funct_2(k1_zf_lang,B,G,I) => k22_zf_lang(C) = I ) ) => r2_tarski(H,F) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_2_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_zmodul01(D,B) ) => ( r2_hidden(A,a_3_2_zmodul01(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(C,F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_2_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ( r2_hidden(A,a_3_2_zmodul03(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_hidden(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_2_zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & v2_zmodul03(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_2_zmodul04(B,C,D)) <=> ? [E] : ( m2_zmodul02(E,B,o_1_0_zmodul04(B)) & A = k3_funct_2(u1_struct_0(B),k4_numbers,E,D) & r1_struct_0(C,k21_zmodul02(B,E)) ) ) ) )).
fof(fraenkel_a_3_30_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_30_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_quantal1(B,E) & r2_tarski(E,a_3_29_quantal1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_30_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_connsp_2(D,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_3_30_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k1_convex1(B,k1_tops_1(B,k1_convex1(B,D,k4_xcmplx_0(1))),k4_xcmplx_0(1))) ) ) ) )).
fof(fraenkel_a_3_30_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_30_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r3_orders_2(B,E,F) & r2_tarski(F,k4_yellow_4(B,k3_waybel_0(B,C),k3_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_31_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_31_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_quantal1(B,k6_algstr_0(B,k5_quantal1(B,C),k5_quantal1(B,E))) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_31_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_31_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,k2_pre_topc(B,C)) & r2_tarski(F,k2_pre_topc(B,D)) ) ) ) )).
fof(fraenkel_a_3_31_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_31_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k4_yellow_4(B,k4_waybel_0(B,C),k4_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_32_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_32_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,E,k5_quantal1(B,C)) & r2_tarski(E,a_2_0_quantal1(B,D)) ) ) ) )).
fof(fraenkel_a_3_32_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_connsp_2(C,B,k4_struct_0(B)) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_32_rltopsp1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k1_convex1(B,C,E) & ~ r1_xxreal_0(D,k9_complex1(E)) ) ) ) )).
fof(fraenkel_a_3_32_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_32_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k4_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_33_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_33_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,k5_quantal1(B,E),k5_quantal1(B,C)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_33_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_connsp_2(C,B,k4_struct_0(B)) & v2_xxreal_0(D) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_33_rltopsp1(B,C,D)) <=> ? [E] : ( ~ v8_ordinal1(E) & v1_xreal_0(E) & A = k1_convex1(B,k1_tops_1(B,C),E) & ~ r1_xxreal_0(D,k9_complex1(E)) ) ) ) )).
fof(fraenkel_a_3_33_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_33_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k4_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_34_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_34_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_quantal1(B,E) & r2_tarski(E,a_3_33_quantal1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_34_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v2_xxreal_0(C) & v1_xreal_0(C) & m1_connsp_2(D,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_3_34_rltopsp1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k1_convex1(B,D,E) & ~ r1_xxreal_0(C,k9_complex1(E)) ) ) ) )).
fof(fraenkel_a_3_34_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_34_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,F,E) & r2_tarski(F,k4_yellow_4(B,k4_waybel_0(B,C),k4_waybel_0(B,D))) ) ) ) ) )).
fof(fraenkel_a_3_35_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v5_algstr_0(B) & v4_rlvect_1(B) & v2_vectsp_1(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_35_ideal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_35_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_35_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k5_quantal1(B,k6_algstr_0(B,k5_quantal1(B,E),k5_quantal1(B,C))) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_36_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v1_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_36_ideal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_36_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_36_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_37_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v1_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_37_ideal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k8_group_1(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_38_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v1_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v1_ideal_1(C,B) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_38_ideal_1(B,C,D)) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & A = k4_rlvect_1(B,E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( k1_funct_1(E,F) = k8_group_1(B,G,H) & r2_tarski(G,k16_ideal_1(B,C,D)) & r2_tarski(H,D) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_39_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v1_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_39_ideal_1(B,C,D)) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & A = k4_rlvect_1(B,E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( k1_funct_1(E,F) = k8_group_1(B,G,H) & r2_tarski(G,C) & r2_tarski(H,D) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_3_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m1_freealg(C,B) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_aofa_000(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,E))) & r1_tarski(k2_relset_1(u1_struct_0(B),F),k9_aofa_000(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_3_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_3_armstrng(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ~ r2_tarski(E,D) & ? [F] : ( r2_tarski(F,C) & r2_tarski(E,F) ) ) ) ) )).
fof(fraenkel_a_3_3_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_3_asympt_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k1_numbers,B,E) & r1_xxreal_0(C,E) & r1_xxreal_0(E,k5_nat_1(D,C)) ) ) ) )).
fof(fraenkel_a_3_3_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_compts_1(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C,B))))) ) => ( r2_hidden(A,a_3_3_borsuk_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k3_borsuk_1(C,B,k2_struct_0(C),k6_domain_1(u1_struct_0(B),E)),k5_setfam_1(u1_struct_0(k2_borsuk_1(C,B)),D)) ) ) ) )).
fof(fraenkel_a_3_3_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_3_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_card_fil(B)) & A = k2_binop_1(k6_card_fil(B),B,k9_setfam_1(B),C,E,D) & r2_tarski(E,k6_card_fil(B)) ) ) ) )).
fof(fraenkel_a_3_3_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_3_3_card_fin(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,B,k2_relset_1(C,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_relset_1(C,D)))) & A = E & v2_funct_1(E) & ! [F] : ~ ( r2_tarski(F,B) & k1_funct_1(E,F) = k1_funct_1(D,F) ) ) ) ) )).
fof(fraenkel_a_3_3_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_3_card_lar(B,C,D)) <=> ? [E] : ( m1_card_lar(E,B,C) & A = k1_card_lar(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & m1_chain_1(D,C) ) => ( r2_hidden(A,a_3_3_chain_1(B,C,D)) <=> ? [E] : ? [F] : ( m2_finseq_2(E,k1_numbers,k1_euclid(C)) & m2_finseq_2(F,k1_numbers,k1_euclid(C)) & A = k3_chain_1(C,E,F) & ~ ( ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_finseq_1(C))) => ~ ( k4_card_1(G) = B & ! [H] : ( m2_subset_1(H,k4_ordinal1,k2_finseq_1(C)) => ( ( r2_tarski(H,G) & ~ r1_xxreal_0(k1_funct_1(F,H),k1_funct_1(E,H)) & m2_chain_1(k4_tarski(k1_funct_1(E,H),k1_funct_1(F,H)),k2_chain_1(C,D,H)) ) | ( ~ r2_tarski(H,G) & k1_funct_1(E,H) = k1_funct_1(F,H) & r2_tarski(k1_funct_1(E,H),k2_chain_1(C,D,H)) ) ) ) ) ) & ~ ( B = C & ! [G] : ( m2_subset_1(G,k4_ordinal1,k2_finseq_1(C)) => ( ~ r1_xxreal_0(k1_funct_1(E,G),k1_funct_1(F,G)) & m2_chain_1(k4_tarski(k1_funct_1(E,G),k1_funct_1(F,G)),k2_chain_1(C,D,G)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_3_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_circled1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_circuit1(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,u3_msualg_1(B,C))),k5_trees_3(u1_struct_0(k5_msafree(B,u3_msualg_1(B,C)))),k4_dtconstr(k5_msafree(B,u3_msualg_1(B,C)))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(u3_msualg_1(B,C),D)) & E = k1_trees_4(k4_tarski(F,D)) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = D ) ) ) ) ) ) )).
fof(fraenkel_a_3_3_classes1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_3_classes1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_classes1(B)) & A = k9_setfam_1(E) & r2_tarski(E,k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_3_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_3_3_combgras(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & A = E & k1_card_1(E) = B & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_3_compl_sp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_nat_1(u1_struct_0(B),C,E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_3_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k1_bhsp_1(B,E,C),D) ) ) ) )).
fof(fraenkel_a_3_3_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_3_convex2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k9_subset_1(k4_ordinal1,k4_finseq_1(C),k4_finseq_1(D))) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G = k1_funct_1(C,F) & ~ r1_xxreal_0(k1_bhsp_1(B,E,G),k1_funct_1(D,F)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_3_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k3_complex1(k10_csspace(B,E,C)),D) ) ) ) )).
fof(fraenkel_a_3_3_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_dickson(B,C,D)) <=> ? [E] : ( m2_subset_1(E,u1_struct_0(B),C) & A = E & r1_orders_2(B,E,D) ) ) ) )).
fof(fraenkel_a_3_3_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_3_domain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(E,C) & ~ r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_dualsp02(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k2_normsp_0(B,k5_algstr_0(B,E,D)) & r1_struct_0(k4_normsp_3(B,C),E) ) ) ) )).
fof(fraenkel_a_3_3_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_real_ns1(B)))) & m2_rlvect_2(D,k7_real_ns1(B),C) ) => ( r2_hidden(A,a_3_3_euclid_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k7_real_ns1(B))) & A = E & k3_funct_2(u1_struct_0(k7_real_ns1(B)),k1_numbers,D,E) != k5_numbers ) ) ) )).
fof(fraenkel_a_3_3_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & m1_subset_1(C,k1_numbers) & m1_subset_1(D,k1_numbers) ) => ( r2_hidden(A,a_3_3_fcont_1(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,k6_xcmplx_0(B,k3_xxreal_0(k6_xcmplx_0(D,B),k6_xcmplx_0(B,C)))) & ~ r1_xxreal_0(k2_xcmplx_0(B,k3_xxreal_0(k6_xcmplx_0(D,B),k6_xcmplx_0(B,C))),E) ) ) ) )).
fof(fraenkel_a_3_3_fcont_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_fcont_2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k1_funct_1(C,B),E) & r1_xxreal_0(E,k1_funct_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_3_fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_fdiff_2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & ~ r1_xxreal_0(E,B) & ~ r1_xxreal_0(k2_xcmplx_0(k4_xxreal_0(C,D),1),E) ) ) ) )).
fof(fraenkel_a_3_3_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_fdiff_3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(B,E) & r1_xxreal_0(E,k2_xcmplx_0(B,k7_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_3_3_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v18_lattices(D,B) & v21_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_filter_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice2(B))) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k1_lattice2(B))) & ? [G] : ( m1_subset_1(G,u1_struct_0(k1_lattice2(B))) & r3_lattices(k1_lattice2(B),k4_lattices(k1_lattice2(B),F,G),E) & r2_tarski(F,C) & r2_tarski(G,D) ) ) ) ) ) )).
fof(fraenkel_a_3_3_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_numbers) & A = E & r1_xxreal_0(B,E) & ~ r1_xxreal_0(k2_xcmplx_0(C,k7_xcmplx_0(1,k1_nat_1(D,1))),E) ) ) ) )).
fof(fraenkel_a_3_3_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) ) => ( r2_hidden(A,a_3_3_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_mcart_1(k1_zfmisc_1(k1_fomodel4(C)),k1_zfmisc_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) & A = k7_relset_1(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C)),E,k1_tarski(B)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_3_goboard5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),C)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),C)),k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_3_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_3_3_goboard6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) & A = E & ~ r1_xxreal_0(k6_xcmplx_0(C,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),1))),k3_metric_1(k14_euclid(2),D,E)) ) ) ) )).
fof(fraenkel_a_3_3_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_3_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),C))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_3_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_henmodel(C,B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) & m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) ) => ( r2_hidden(A,a_3_3_goedelcp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_qc_lang1(B)) & A = E & ~ r2_tarski(k2_qc_lang3(B,E),k6_goedelcp(B,k4_subset_1(k3_cqc_lang(B),C,k6_domain_1(k3_cqc_lang(B),D)))) ) ) ) )).
fof(fraenkel_a_3_3_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_graph_1(B) & l1_graph_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_graph_3(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,D,k3_finseq_2(D)) & A = E & v2_funct_1(E) & m2_graph_1(E,B) & ~ v1_xboole_0(E) & ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & r1_graph_2(B,F,E) & k1_funct_1(F,1) = C ) ) ) ) )).
fof(fraenkel_a_3_3_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v2_struct_0(C) & v8_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k1_funct_2(B,B)) & v1_group_10(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(B,B)))) ) => ( r2_hidden(A,a_3_3_group_10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & k4_card_1(E) = 1 & ? [F] : ( m1_subset_1(F,B) & E = k13_group_10(C,B,D,F) ) ) ) ) )).
fof(fraenkel_a_3_3_group_11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_group_2(C,B) & m1_group_2(D,B) ) => ( r2_hidden(A,a_3_3_group_11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xboole_0(k13_group_2(B,D,E),k8_group_2(B,C)) ) ) ) )).
fof(fraenkel_a_3_3_hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v3_ordinal1(C) & ~ v1_finset_1(C) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(C,B)))) ) => ( r2_hidden(A,a_3_3_hilbasis(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_hidden(k3_hilbasis(C,E,B),D) ) ) ) )).
fof(fraenkel_a_3_3_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_ideal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r2_tarski(E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_jgraph_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ~ r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))),D) ) ) ) )).
fof(fraenkel_a_3_3_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_jordan12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),D,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(D,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k7_nat_d(C,1)))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(k7_nat_d(C,1),1))),F) ) ) ) )).
fof(fraenkel_a_3_3_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_jordan8(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),C,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),k1_nat_1(C,1),1))) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),1,1))) ) ) ) )).
fof(fraenkel_a_3_3_jordan9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_jordan9(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),D,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k7_nat_d(k3_finseq_1(k1_jordan8(B,C)),1))),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k3_finseq_1(k1_jordan8(B,C))))) ) ) ) )).
fof(fraenkel_a_3_3_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_3_jordan_a(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ( r1_jordan5c(k8_jordan6(B),k18_pscomp_1(B),k22_pscomp_1(B),C,E) | r1_jordan5c(k9_jordan6(B),k22_pscomp_1(B),k18_pscomp_1(B),E,D) ) ) ) ) )).
fof(fraenkel_a_3_3_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_3_laplace(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(B)),k1_tarski(B)),k2_xboole_0(k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(C)),k1_tarski(C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(B)),k1_tarski(B)),k2_xboole_0(k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(C)),k1_tarski(C))))) & A = E & v2_funct_1(E) & k1_funct_1(E,B) = C ) ) ) )).
fof(fraenkel_a_3_3_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k4_lattices(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,C) & r3_lattices(B,E,k3_lattices(B,D,F)) ) ) ) ) )).
fof(fraenkel_a_3_3_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) ) => ( r2_hidden(A,a_3_3_lfuzzy_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),D),k5_lfuzzy_0(k2_zfmisc_1(B,B),E)) & r2_tarski(E,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_3_3_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k1_mathmorp(B,E,D),C) ) ) ) )).
fof(fraenkel_a_3_3_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_3_3_matrtop1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = k1_algstr_0(k15_euclid(B),C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(B,k2_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(B,k2_numbers)))) ) => ( r2_hidden(A,a_3_3_mesfun9c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_relset_1(B,k4_mesfunc5(B,k1_numbers,k11_mesfun7c(B,D),E)) & r1_xxreal_0(E,C) ) ) ) )).
fof(fraenkel_a_3_3_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_3_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & ~ r1_xxreal_0(B,k1_metric_1(C,D,E)) ) ) ) )).
fof(fraenkel_a_3_3_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ( r2_hidden(A,a_3_3_metrizts(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = k6_domain_1(u1_struct_0(D),E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(C,k9_setfam_1(B)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_xxreal_0(D,k24_mmlquery(C,E)) ) ) ) )).
fof(fraenkel_a_3_3_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_3_modelc_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_hidden(k4_tarski(D,E),C) ) ) ) )).
fof(fraenkel_a_3_3_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k9_subset_1(u1_struct_0(B),k5_rusub_4(B,k6_mathmorp(k4_xcmplx_0(1),B,D),E),C) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_3_3_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_msafree3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(B,C))) & A = k2_trees_4(u1_struct_0(k5_msafree(B,C)),E) & r2_tarski(E,k1_lang1(k5_msafree(B,C))) & k2_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_3_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) ) => ( r2_hidden(A,a_3_3_msafree5(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k13_msafree5(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_3_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C))))) ) => ( r2_hidden(A,a_3_3_msualg_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)))) & A = E & v2_msualg_4(E,B,C) & v3_msualg_4(E,B,C) & m1_msualg_4(E,u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)) & r3_lattices(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)),k15_lattice3(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)),D),E) ) ) ) )).
fof(fraenkel_a_3_3_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(B))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_3_nagata_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k2_pre_topc(B,k8_nat_1(k1_zfmisc_1(u1_struct_0(B)),C,E)) & r2_tarski(E,k4_subset_1(k4_ordinal1,k2_finseq_1(D),k6_domain_1(k4_ordinal1,k5_numbers))) ) ) ) )).
fof(fraenkel_a_3_3_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_nagata_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k5_setfam_1(u1_struct_0(B),k13_prob_1(u1_struct_0(B),k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_3_ndiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_ndiff_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,k5_normsp_1(B,C)))) ) ) ) )).
fof(fraenkel_a_3_3_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_ndiff_5(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,C,k1_rlvect_1(B,k5_algstr_0(B,D,C),E)) & ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(1,E) ) ) ) )).
fof(fraenkel_a_3_3_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m1_subset_1(D,k5_finsub_1(k7_normform(B))) ) => ( r2_hidden(A,a_3_3_normform(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m2_subset_1(F,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,F) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_3_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,C,E)),D) ) ) ) )).
fof(fraenkel_a_3_3_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(B) & v4_ordinal1(B) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_classes2(C) ) => ( r2_hidden(A,a_3_3_ordinal6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(C),B))) & A = k1_funct_1(k1_funct_1(k5_relat_1(k11_ordinal6(C),B),E),D) & r2_tarski(E,k9_xtuple_0(k5_relat_1(k11_ordinal6(C),B))) ) ) ) )).
fof(fraenkel_a_3_3_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_osafree(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_osafree(B,C))) & A = k2_trees_4(u1_struct_0(k2_osafree(B,C)),E) & r2_tarski(E,k6_dtconstr(k2_osafree(B,C))) & k2_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_3_osalg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v12_osalg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_osalg_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_funct_1(k2_msualg_2(B,C),E) & r3_orders_2(B,E,D) ) ) ) )).
fof(fraenkel_a_3_3_pcomps_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_3_pcomps_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,D) & ~ r1_xboole_0(E,C) ) ) ) )).
fof(fraenkel_a_3_3_pdiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_subset_1(C,u1_struct_0(k4_real_ns1(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_pdiff_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(B))) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(k4_real_ns1(B),k5_algstr_0(k4_real_ns1(B),E,C))) ) ) ) )).
fof(fraenkel_a_3_3_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(B,B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_poset_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(k6_poset_1(B,B))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(B)) & v2_poset_1(G,B,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & G = F & r2_tarski(F,C) & E = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),G,k1_nat_1(D,1)),k3_yellow_0(B)) ) ) ) ) ) )).
fof(fraenkel_a_3_3_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m5_margrel1(D,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_3_3_pralg_1(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,C,k3_finseq_2(C)) & A = E & k3_finseq_1(E) = k18_margrel1(D) ) ) ) )).
fof(fraenkel_a_3_3_pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) & m2_finseq_2(D,k4_ordinal1,k3_finseq_2(k4_ordinal1)) ) => ( r2_hidden(A,a_3_3_pre_circ(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & A = k8_finseq_1(k4_ordinal1,D,E) & r2_tarski(E,k4_trees_1(B,C)) ) ) ) )).
fof(fraenkel_a_3_3_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_qc_lang1(C) & v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(C)) ) => ( r2_hidden(A,a_3_3_qc_lang3(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k4_qc_lang1(C)) ) ) ) )).
fof(fraenkel_a_3_3_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_qc_lang4(D,B,C) ) => ( r2_hidden(A,a_3_3_qc_lang4(B,C,D)) <=> ? [E] : ( m2_qc_lang4(E,B,C,D) & A = E & E = E ) ) ) )).
fof(fraenkel_a_3_3_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) ) => ( r2_hidden(A,a_3_3_quantal1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k6_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_3_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v1_rlvect_5(B) & l1_rlvect_1(B) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_rlaffin3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,k4_algstr_0(B,D),E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & v1_rlvect_1(D) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_3_rlsub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(C,F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_3_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_3_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_4(D,B,C) ) => ( r2_hidden(A,a_3_3_rmod_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_3_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & v1_bhsp_1(D) & m1_rusub_1(D,B) ) => ( r2_hidden(A,a_3_3_rusub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r1_struct_0(C,E) & r1_struct_0(D,F) ) ) ) )).
fof(fraenkel_a_3_3_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_rlvect_1(C) & m1_rlsub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_rusub_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_3_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_3_scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) ) => ( r2_hidden(A,a_3_3_scmfsa_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_compos_1(k1_scmfsa_2)) & A = k4_sf_mastr(E) & r2_tarski(E,k2_relset_1(u1_compos_1(k1_scmfsa_2),k1_funct_7(B,C,D))) ) ) ) )).
fof(fraenkel_a_3_3_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_scmyciel(B) & v11_scmyciel(B) & v1_finset_1(C) & v10_scmyciel(C,B) & m1_eqrel_1(C,k3_tarski(B)) & m1_card_lar(D,k3_tarski(B),C) ) => ( r2_hidden(A,a_3_3_scmyciel(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_tarski(B)) & A = k4_tarski(E,k3_tarski(B)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_3_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & m2_finseq_2(F,k2_numbers,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,E,F)) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_3_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(C,E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_3_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_matroid0(C) & v3_matroid0(C) & v2_simplex1(C,B) & m1_simplex0(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_3_simplex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k1_rlaffin2(B,E) & r1_tarski(E,k1_simplex1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_3_sprect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_3_sprect_3(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),B,1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),k1_nat_1(B,1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),1,C))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),1,k1_nat_1(C,1))),F) ) ) ) )).
fof(fraenkel_a_3_3_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_finseq_1(D,C) ) => ( r2_hidden(A,a_3_3_srings_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & A = E & r1_tarski(E,k2_relset_1(C,D)) ) ) ) )).
fof(fraenkel_a_3_3_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_3_stirl2_1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = E & v2_funct_2(E,k5_card_1(B)) & v1_stirl2_1(E,k1_nat_1(C,1),B) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(B),E,k1_seq_4(k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,E,C))) != k1_seq_4(C) & k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,E,C) = D ) ) ) )).
fof(fraenkel_a_3_3_tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_tbsp_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(F,D) & E = k8_nat_1(u1_struct_0(B),C,F) ) ) ) ) )).
fof(fraenkel_a_3_3_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_topdim_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(k2_struct_0(B)),C,E) & ~ r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_3_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & ~ v1_topgen_2(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_3_topgen_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_3_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = B & r1_xxreal_0(D,k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),C) ) ) ) )).
fof(fraenkel_a_3_3_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_topreal9(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,k6_xcmplx_0(1,E)),k1_rlvect_1(B,D,E)) & r1_xxreal_0(k5_numbers,E) ) ) ) )).
fof(fraenkel_a_3_3_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) & m1_trees_1(D,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_3_3_trees_a(B,C,D)) <=> ? [E] : ? [F] : ( m1_trees_1(E,k9_xtuple_0(B)) & m1_trees_1(F,k9_xtuple_0(C)) & A = k8_finseq_1(k4_ordinal1,E,F) & r2_tarski(E,k2_trees_a(k9_xtuple_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_3_uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & v2_polynom5(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(C,B) & v1_uproots(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_uproots(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),C,k12_polynom3(B,k3_polynom5(B,k5_polynom5(B,k4_algstr_0(B,D),k5_struct_0(B)),E),F)) ) ) ) ) )).
fof(fraenkel_a_3_3_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_3_valued_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,D) & r2_tarski(E,k2_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C))) ) ) ) )).
fof(fraenkel_a_3_3_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_6(D,B,C) ) => ( r2_hidden(A,a_3_3_vectsp_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_3_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_3_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_3_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_3_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_funct_1(C,E) & r2_tarski(E,k1_finsub_1(k1_zfmisc_1(k4_ordinal1),k6_domain_1(k4_ordinal1,k5_numbers),k2_finseq_1(D))) ) ) ) )).
fof(fraenkel_a_3_3_waybel14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_waybel14(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,k3_subset_1(u1_struct_0(B),k5_waybel_0(B,k1_yellow_0(B,k2_waybel_8(B,D))))) ) ) ) )).
fof(fraenkel_a_3_3_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_lattice3(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k7_lattice3(B)))) ) => ( r2_hidden(A,a_3_3_waybel16(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(k7_lattice3(B))) & m1_subset_1(F,u1_struct_0(k7_lattice3(B))) & A = k13_lattice3(k7_lattice3(B),E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_3_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_3_waybel17(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_3_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) ) => ( r2_hidden(A,a_3_3_waybel21(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & A = k2_yellow_0(B,a_4_3_waybel21(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_3_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v6_waybel23(C,B) & m1_waybel23(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(B,C)))))) ) => ( r2_hidden(A,a_3_3_waybel23(B,C,D)) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_waybel23(B,k7_relset_1(u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(B,C)))),u1_struct_0(k1_yellow_1(k7_waybel_0(B))),k4_waybel23(B,k5_yellow_0(B,C)),D)))) & A = k1_yellow_0(B,E) & r1_yellow_0(B,E) ) ) ) )).
fof(fraenkel_a_3_3_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & v2_waybel_2(B) & l1_waybel_9(B) & v4_waybel11(C) & m1_yellow_9(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = k2_yellow_0(C,E) & r2_tarski(D,E) & r2_tarski(E,k5_waybel11(C)) ) ) ) )).
fof(fraenkel_a_3_3_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(o_2_10_waybel31(B,C)))) ) => ( r2_hidden(A,a_3_3_waybel31(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(o_2_10_waybel31(B,C))) & A = k2_waybel_3(o_2_10_waybel31(B,C),E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v7_waybel_0(C) & v8_waybel_0(C,B) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_3_waybel32(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_3_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_3_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_3_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_waybel_2(B,C,D)) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = k4_yellow_4(B,k6_domain_1(u1_struct_0(B),F),D) & r2_tarski(F,C) ) ) ) ) )).
fof(fraenkel_a_3_3_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_yellow_1(C) & v4_waybel_3(C) & v5_waybel_3(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) ) => ( r2_hidden(A,a_3_3_waybel_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & k4_waybel_3(B,C,D,E) != k3_yellow_0(k3_waybel_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_3_3_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_waybel_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,E,F) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_3_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_waybel_5(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_waybel_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v4_funct_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_waybel_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & k1_funct_1(E,k1_yellow_0(B,D)) = 1 ) ) ) )).
fof(fraenkel_a_3_3_waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(B)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_3_waybel_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k6_subset_1(C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_compts_1(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_3_waybel_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k12_lattice3(B,E,k2_waybel_0(B,C,D)) = k2_waybel_0(B,C,D) ) ) ) )).
fof(fraenkel_a_3_3_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_yellow12(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k10_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_3_yellow19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_3_yellow19(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_3_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_3_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k11_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_3_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & v8_yellow_6(C,B) & m4_yellow_6(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_yellow_6(B,C)))) ) => ( r2_hidden(A,a_3_3_yellow_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k12_yellow_6(B,C))) & A = E & ? [F] : ( ~ v2_struct_0(F) & v4_orders_2(F) & v7_waybel_0(F) & l1_waybel_0(F,k12_yellow_6(B,C)) & r2_hidden(k4_tarski(F,E),C) & r1_tarski(k2_relset_1(u1_struct_0(k12_yellow_6(B,C)),u1_waybel_0(k12_yellow_6(B,C),F)),D) & r2_tarski(E,k9_yellow_6(k12_yellow_6(B,C),F)) ) ) ) ) )).
fof(fraenkel_a_3_3_yellow_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_3_yellow_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_3_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_3_3_yellow_9(B,C,D)) <=> ? [E] : ( m2_funct_2(E,D,C,k9_funct_2(D,C)) & A = k1_setfam_1(k2_relset_1(C,E)) & ! [F] : ( r2_tarski(F,D) => r1_tarski(k1_funct_1(E,F),F) ) ) ) ) )).
fof(fraenkel_a_3_40_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_40_ideal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_41_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v1_algstr_1(B) & v1_int_3(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k4_ordinal1))) ) => ( r2_hidden(A,a_3_41_ideal_1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,u1_struct_0(B),C) & A = k3_funct_2(u1_struct_0(B),k4_ordinal1,D,E) ) ) ) )).
fof(fraenkel_a_3_4_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v2_ami_wstd(C,B) & l1_extpro_1(C,B) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(C)) & v1_funct_1(D) & v1_finset_1(D) & v5_ami_wstd(D,B,C) ) => ( r2_hidden(A,a_3_4_ami_wstd(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_hidden(k1_ami_wstd(B,C,E),k1_relset_1(k4_ordinal1,D)) ) ) ) )).
fof(fraenkel_a_3_4_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & l1_unialg_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_aofa_000(B,C,D)) <=> ? [E] : ? [F] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(F,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,E))) & r1_tarski(k2_relset_1(u1_struct_0(B),F),k9_aofa_000(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_4_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B)))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_4_armstrng(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & r2_tarski(k6_armstrng(B,D,E),k12_armstrng(B,C)) ) ) ) )).
fof(fraenkel_a_3_4_asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_4_asympt_0(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k1_numbers,B,E) & r1_xxreal_0(C,E) & r1_xxreal_0(E,k5_nat_1(D,C)) ) ) ) )).
fof(fraenkel_a_3_4_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_compts_1(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_4_borsuk_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_zfmisc_1(k2_struct_0(C),E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_card_fil(D,B) ) => ( r2_hidden(A,a_3_4_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & r2_tarski(F,a_3_5_card_fil(B,C,D)) & r1_tarski(F,E) ) ) ) ) )).
fof(fraenkel_a_3_4_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_3_4_card_fin(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,B,k2_relset_1(C,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_relset_1(C,D)))) & A = E & v2_funct_1(E) ) ) ) )).
fof(fraenkel_a_3_4_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(B)) & v3_ordinal1(D) ) => ( r2_hidden(A,a_3_4_card_lar(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k1_ordinal1(E) & r2_tarski(E,C) & r2_tarski(D,k1_ordinal1(E)) ) ) ) )).
fof(fraenkel_a_3_4_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_cat_6(B) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & v6_cat_7(B) & l1_cat_6(B) & m1_subset_1(C,k6_cat_6(B)) & m1_subset_1(D,k6_cat_6(B)) ) => ( r2_hidden(A,a_3_4_cat_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_cat_6(B)) & A = E & k7_cat_6(B,E) = C & k8_cat_6(B,E) = D ) ) ) )).
fof(fraenkel_a_3_4_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_finseq_2(D,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_3_4_chain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_euclid(B)) & A = E & ~ ( ~ ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(B)) => ( r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(E,F)) & r1_xxreal_0(k1_funct_1(E,F),k1_funct_1(D,F)) ) ) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(B)) => ~ ( ~ r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(D,F)) & ( r1_xxreal_0(k1_funct_1(E,F),k1_funct_1(D,F)) | r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(E,F)) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_4_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_circled1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,D) & r2_tarski(E,k2_circled1(B,C)) ) ) ) )).
fof(fraenkel_a_3_4_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & m1_closure2(D,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) ) => ( r2_hidden(A,a_3_4_closure2(B,C,D)) <=> ? [E] : ( m1_closure2(E,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = E & r2_pboole(u1_struct_0(B),D,E) & r2_tarski(E,u1_closure2(B,C)) ) ) ) )).
fof(fraenkel_a_3_4_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & m1_subset_1(D,u2_incsp_1(k1_combgras(B,C))) ) => ( r2_hidden(A,a_3_4_combgras(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & A = E & k1_card_1(E) = B & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_compl_sp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k8_nat_1(u1_struct_0(B),C,E) & r1_xxreal_0(k1_nat_1(D,1),E) ) ) ) )).
fof(fraenkel_a_3_4_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k1_bhsp_1(B,E,C)) ) ) ) )).
fof(fraenkel_a_3_4_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m2_rlvect_2(D,B,C) ) => ( r2_hidden(A,a_3_4_convex2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k1_numbers,D,E) != k5_numbers ) ) ) )).
fof(fraenkel_a_3_4_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k3_complex1(k10_csspace(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_4_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_4_domain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ( ( r2_tarski(E,C) & ~ r2_tarski(E,D) ) | ( ~ r2_tarski(E,C) & r2_tarski(E,D) ) ) ) ) ) )).
fof(fraenkel_a_3_4_dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_dualsp02(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,C,E))) ) ) ) )).
fof(fraenkel_a_3_4_fcont_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_hidden(A,a_3_4_fcont_2(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k3_seq_4(k7_relset_1(k1_numbers,k1_numbers,D,k1_rcomp_1(C,B))),E) & r1_xxreal_0(E,k2_seq_4(k7_relset_1(k1_numbers,k1_numbers,D,k1_rcomp_1(C,B)))) ) ) ) )).
fof(fraenkel_a_3_4_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_fdiff_3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(k6_xcmplx_0(B,k3_xxreal_0(C,D)),E) & r1_xxreal_0(E,B) ) ) ) )).
fof(fraenkel_a_3_4_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(k3_funct_2(B,k1_numbers,C,E),k3_rcomp_1(D,k1_xxreal_0)) ) ) ) )).
fof(fraenkel_a_3_4_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_finseq_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r2_tarski(E,k1_relset_1(k4_ordinal1,C)) & r1_xxreal_0(E,D) & r2_tarski(k1_funct_1(C,E),B) ) ) ) )).
fof(fraenkel_a_3_4_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D,k1_zfmisc_1(k1_fomodel4(B))) ) => ( r2_hidden(A,a_3_4_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_mcart_1(k1_zfmisc_1(k1_fomodel4(B)),k1_zfmisc_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & A = k7_relset_1(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),E,k6_domain_1(k1_zfmisc_1(k1_fomodel4(B)),D)) & r2_tarski(E,k6_fomodel4(B,C)) ) ) ) )).
fof(fraenkel_a_3_4_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_4_goboard5(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,k1_nat_1(C,1))),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_4_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_3_4_goboard6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) & A = E & ~ r1_xxreal_0(k6_xcmplx_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,1)),C),k3_metric_1(k14_euclid(2),D,E)) ) ) ) )).
fof(fraenkel_a_3_4_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_4_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_4_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) ) => ( r2_hidden(A,a_3_4_goedelcp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_graph_1(B) & l1_graph_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_graph_3(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,u4_struct_0(B),k9_graph_3(B)) & A = E & r1_tarski(k10_xtuple_0(E),D) & ~ v1_xboole_0(E) & ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & r1_graph_2(B,F,E) & k1_funct_1(F,1) = C ) ) ) ) )).
fof(fraenkel_a_3_4_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v2_struct_0(C) & v8_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k1_funct_2(B,B)) & v1_group_10(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(B,B)))) ) => ( r2_hidden(A,a_3_4_group_10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = E & ~ r1_xxreal_0(k4_card_1(E),1) & ? [F] : ( m1_subset_1(F,B) & E = k13_group_10(C,B,D,F) ) ) ) ) )).
fof(fraenkel_a_3_4_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_4_group_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & ? [F] : ( m2_finseq_1(F,u1_struct_0(C)) & ? [G] : ( m2_finseq_1(G,k4_numbers) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(C))) & H = k1_group_9(B,u1_struct_0(C),u1_group_9(B,C),D) & E = k3_group_4(C,k4_group_4(C,G,F)) & k3_finseq_1(F) = k3_finseq_1(G) & r1_tarski(k2_relset_1(u1_struct_0(C),F),H) ) ) ) ) ) ) )).
fof(fraenkel_a_3_4_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(C) & m2_subset_1(D,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) ) => ( r2_hidden(A,a_3_4_heyting2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k4_partfun1(B,C)) & m1_subset_1(F,k4_partfun1(B,C)) & A = k2_xboole_0(E,F) & r2_tarski(E,D) & r2_tarski(F,k2_heyting2(B,C,D)) & r1_partfun1(E,F) ) ) ) )).
fof(fraenkel_a_3_4_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_ideal_1(B,C,D)) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & A = k4_rlvect_1(B,E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( k1_funct_1(E,F) = k6_algstr_0(B,G,H) & r2_tarski(G,C) & r2_tarski(H,D) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_4_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_jgraph_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C)))) ) ) ) )).
fof(fraenkel_a_3_4_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_jordan12(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & ~ r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k7_nat_d(C,1),1))) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_nat_1(k7_nat_d(C,1),1),1)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,D))) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1,k1_nat_1(D,1))),F) ) ) ) )).
fof(fraenkel_a_3_4_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k14_euclid(B))) ) => ( r2_hidden(A,a_3_4_jordan2c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(B))) & A = E & ~ r1_xxreal_0(C,k3_metric_1(k14_euclid(B),D,E)) ) ) ) )).
fof(fraenkel_a_3_4_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_jordan8(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),1,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,D),1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_4_jordan9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_jordan9(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),D,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k7_nat_d(k3_finseq_1(k1_jordan8(B,C)),1))),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k1_nat_1(k7_nat_d(k3_finseq_1(k1_jordan8(B,C)),1),1)))) ) ) ) )).
fof(fraenkel_a_3_4_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(C,B) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_4_jordan_a(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & r2_tarski(E,k4_finseq_1(C)) & r1_jordan6(B,k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),D) ) ) ) )).
fof(fraenkel_a_3_4_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_4_laplace(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(B)),k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(B)),k6_subset_1(k2_setwop_2(k1_nat_1(D,1)),k1_tarski(C))))) & A = E & v2_funct_1(E) ) ) ) )).
fof(fraenkel_a_3_4_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_lattices(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_latticea(B,C,D)) <=> ? [E] : ( ~ v1_xboole_0(E) & v18_lattices(E,B) & v21_lattices(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r1_tarski(C,E) & r1_subset_1(E,D) ) ) ) )).
fof(fraenkel_a_3_4_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) ) => ( r2_hidden(A,a_3_4_lfuzzy_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k6_lfuzzy_0(k2_zfmisc_1(B,B),k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),D),k5_lfuzzy_0(k2_zfmisc_1(B,B),E))) & r2_tarski(E,a_2_0_lfuzzy_1(B,C)) ) ) ) )).
fof(fraenkel_a_3_4_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_4_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_4_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_xxreal_0(k1_metric_1(C,D,E),B) ) ) ) )).
fof(fraenkel_a_3_4_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_xreal_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_metrizts(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k8_metric_1(B,E,k7_xcmplx_0(C,2)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(B),k2_relset_1(u1_mmlquery(B),C),k30_mmlquery(B,E))),D) ) ) ) )).
fof(fraenkel_a_3_4_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k5_rusub_4(B,k6_mathmorp(k4_xcmplx_0(1),B,D),E),C) ) ) ) )).
fof(fraenkel_a_3_4_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_msafree2(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k4_dtconstr(k5_msafree(B,C))) & A = E & ~ ( ! [F] : ~ ( r2_tarski(F,k1_funct_1(C,D)) & E = k1_trees_4(k4_tarski(F,D)) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & k2_msualg_1(B,F) = D ) ) ) ) ) ) )).
fof(fraenkel_a_3_4_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_msafree3(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = E & k7_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),E) = D & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),E),C) ) ) ) )).
fof(fraenkel_a_3_4_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_msafree4(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k7_funcop_1(u1_struct_0(B),k1_tarski(k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k7_funcop_1(u1_struct_0(B),k1_tarski(k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),C,k7_funcop_1(u1_struct_0(B),k1_tarski(k5_numbers))))) & A = E & k7_msaterm(B,k2_pboole(u1_struct_0(B),C,k7_funcop_1(u1_struct_0(B),k1_tarski(k5_numbers))),E) = D & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),C,k7_funcop_1(u1_struct_0(B),k1_tarski(k5_numbers))),E),C) ) ) ) )).
fof(fraenkel_a_3_4_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) ) => ( r2_hidden(A,a_3_4_msafree5(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k14_msafree5(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_4_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_msualg_5(B,C)))) ) => ( r2_hidden(A,a_3_4_msualg_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C))))) & A = E & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) ) ) ) )).
fof(fraenkel_a_3_4_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_nagata_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k2_pre_topc(B,k8_nat_1(k1_zfmisc_1(u1_struct_0(B)),C,E)) & r2_tarski(E,k4_subset_1(k4_ordinal1,k2_finseq_1(D),k6_domain_1(k4_ordinal1,k5_numbers))) ) ) ) )).
fof(fraenkel_a_3_4_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_4_nagata_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k5_setfam_1(u1_struct_0(B),k13_prob_1(u1_struct_0(B),k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_4_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_ndiff_5(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,k6_xcmplx_0(1,E)),k1_rlvect_1(B,D,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_4_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m1_subset_1(D,k5_finsub_1(k7_normform(B))) ) => ( r2_hidden(A,a_3_4_normform(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k7_normform(B)) & m1_subset_1(F,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_4_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k2_normsp_2(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_normsp_2(B))) & A = E & ~ r1_xxreal_0(D,k3_metric_1(k2_normsp_2(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_4_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_osafree(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_osafree(B,C))) & A = k1_funct_1(k1_msualg_3(u1_struct_0(B),u3_msualg_1(B,k8_osafree(B,C)),u3_msualg_1(B,k16_osalg_4(B,k8_osafree(B,C),k15_osafree(B,C))),k18_osalg_4(B,k8_osafree(B,C),k15_osafree(B,C)),D),k2_trees_4(u1_struct_0(k2_osafree(B,C)),E)) & r2_tarski(E,k6_dtconstr(k2_osafree(B,C))) & k2_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_4_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_subset_1(C,u1_struct_0(k4_real_ns1(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_4_pdiff_7(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(B))) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(k4_real_ns1(B),k5_algstr_0(k4_real_ns1(B),C,E))) ) ) ) )).
fof(fraenkel_a_3_4_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m3_pua2mss1(C,B) & m2_subset_1(D,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) ) => ( r2_hidden(A,a_3_4_pua2mss1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(k11_pua2mss1(B,C))) & A = E & k12_pua2mss1(B,C,E) = D ) ) ) )).
fof(fraenkel_a_3_4_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(B,C))) ) => ( r2_hidden(A,a_3_4_qc_lang4(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k7_finseq_1(D,k9_finseq_1(E)) & r2_tarski(k7_finseq_1(D,k9_finseq_1(E)),k9_xtuple_0(k2_qc_lang4(B,C))) ) ) ) )).
fof(fraenkel_a_3_4_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_rlaffin1(B,C,D)) <=> ? [E] : ( v2_rusub_4(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r1_tarski(k5_rusub_4(B,D,k4_algstr_0(B,C)),E) ) ) ) )).
fof(fraenkel_a_3_4_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_4_rlsub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(k2_rlsub_2(B,C,D),F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_4_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_4_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_4(D,B,C) ) => ( r2_hidden(A,a_3_4_rmod_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),k7_rmod_4(B,C,k4_algstr_0(B,k1_group_1(B)),D),E) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_3_4_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) ) => ( r2_hidden(A,a_3_4_rusub_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r1_struct_0(k2_rusub_2(B,C,D),E) & r1_struct_0(D,F) ) ) ) )).
fof(fraenkel_a_3_4_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & v1_bhsp_1(C) & m1_rusub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_rusub_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_4_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_4_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_4_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(C,E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_4_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_finseq_1(D,C) ) => ( r2_hidden(A,a_3_4_srings_1(B,C,D)) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) & A = E & ? [F] : ( r1_tarski(F,k2_relset_1(C,D)) & m1_eqrel_1(E,k6_subset_1(k1_setfam_1(F),k3_tarski(k7_subset_1(C,k2_relset_1(C,D),F)))) ) ) ) ) )).
fof(fraenkel_a_3_4_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_stirl2_1(B,C,D)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(k5_card_1(C),k1_tarski(C)),k2_xboole_0(k5_card_1(B),k1_tarski(D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k5_card_1(C),k1_tarski(C)),k2_xboole_0(k5_card_1(B),k1_tarski(D))))) & A = E & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( k5_card_1(F) = k2_xboole_0(k5_card_1(C),k1_tarski(C)) & k5_card_1(G) = k2_xboole_0(k5_card_1(B),k1_tarski(D)) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k5_card_1(F),k5_card_1(G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(F),k5_card_1(G)))) ) => ~ ( H = E & v2_funct_2(H,k5_card_1(G)) & v1_stirl2_1(H,F,G) & ~ ( ~ r1_xxreal_0(F,C) & k1_stirl2_1(F,k5_card_1(G),H,k1_seq_4(k2_stirl2_1(k5_card_1(F),G,H,C))) = k1_seq_4(C) ) ) ) ) ) ) & r1_tarski(k2_relset_1(k2_xboole_0(k5_card_1(B),k1_tarski(D)),k2_partfun1(k2_xboole_0(k5_card_1(C),k1_tarski(C)),k2_xboole_0(k5_card_1(B),k1_tarski(D)),E,k5_card_1(C))),k5_card_1(B)) & k1_funct_1(E,C) = D ) ) ) )).
fof(fraenkel_a_3_4_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k2_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_struct_0(B))))) ) => ( r2_hidden(A,a_3_4_topdim_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(k2_struct_0(B)),D,E) & r1_xboole_0(k8_nat_1(k9_setfam_1(k2_struct_0(B)),D,E),C) ) ) ) )).
fof(fraenkel_a_3_4_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_topgen_2(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_4_topgen_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_hidden(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_4_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k14_euclid(C))) ) => ( r2_hidden(A,a_3_4_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(C))) & A = E & ~ r1_xxreal_0(B,k3_metric_1(k14_euclid(C),D,E)) ) ) ) )).
fof(fraenkel_a_3_4_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_4_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(B),E,D)),C) ) ) ) )).
fof(fraenkel_a_3_4_trees_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) & m1_trees_1(D,k9_xtuple_0(B)) ) => ( r2_hidden(A,a_3_4_trees_a(B,C,D)) <=> ? [E] : ( m1_trees_1(E,k9_xtuple_0(C)) & A = k8_finseq_1(k4_ordinal1,D,E) ) ) ) )).
fof(fraenkel_a_3_4_uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v4_valued_0(C) & v2_pre_poly(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_uproots(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = E & ~ r1_xxreal_0(k1_recdef_1(C,D),E) ) ) ) )).
fof(fraenkel_a_3_4_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_4_valued_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,D) & r2_tarski(E,k9_xtuple_0(k1_funct_4(B,C))) ) ) ) )).
fof(fraenkel_a_3_4_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v1_yellow_6(C,B) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_4_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_4_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_4_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_waybel16(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_orders_2(B,E,D) & ~ r3_orders_2(B,E,C) ) ) ) )).
fof(fraenkel_a_3_4_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_4_waybel17(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_4_waybel23,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v6_waybel23(C,B) & m1_waybel23(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(B,C)))))) ) => ( r2_hidden(A,a_3_4_waybel23(B,C,D)) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_waybel23(k5_yellow_0(B,C),D))) & A = k1_yellow_0(k5_yellow_0(B,C),E) & r1_yellow_0(k5_yellow_0(B,C),E) ) ) ) )).
fof(fraenkel_a_3_4_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,k1_yellow_1(k7_waybel_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(B))))) & m1_subset_1(D,u1_struct_0(k1_yellow_1(k7_waybel_0(B)))) ) => ( r2_hidden(A,a_3_4_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_yellow_1(k7_waybel_0(B)))) & A = k12_lattice3(k1_yellow_1(k7_waybel_0(B)),D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_4_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v4_waybel11(C) & m1_yellow_9(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_4_waybel31(B,C,D)) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) & A = k1_yellow_0(C,E) & r1_yellow_0(C,E) ) ) ) )).
fof(fraenkel_a_3_4_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_waybel_9(B) & v4_waybel11(C) & m1_yellow_9(C,B) & v13_waybel_0(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_4_waybel32(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & A = E & m2_connsp_2(E,C,D) ) ) ) )).
fof(fraenkel_a_3_4_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_4_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_4_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_4_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_waybel_2(B,C,D)) <=> ? [E] : ( ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k1_yellow_0(B,E) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = k4_yellow_4(B,k6_domain_1(u1_struct_0(B),F),D) & r2_tarski(F,C) ) ) ) ) )).
fof(fraenkel_a_3_4_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_waybel_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,E,F) & r2_tarski(E,k6_domain_1(u1_struct_0(B),D)) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_4_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_relat_1(C) & v1_funct_1(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_4_waybel_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k1_yellow_0(B,E) & r2_tarski(E,k10_xtuple_0(C)) & r2_tarski(k1_yellow_0(B,E),k1_waybel_3(B,D)) ) ) ) )).
fof(fraenkel_a_3_4_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v8_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_compts_1(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_4_waybel_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k13_lattice3(B,E,k2_waybel_0(B,C,D)) = k2_waybel_0(B,C,D) ) ) ) )).
fof(fraenkel_a_3_4_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_yellow12(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_4_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_4_yellow_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_4_zf_fund1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k1_zf_fund1(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_4_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m2_subset_1(C,k4_ordinal1,k1_zf_lang) & m2_subset_1(D,k4_ordinal1,k1_zf_lang) ) => ( r2_hidden(A,a_3_4_zf_model(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_zf_model(B)) & A = E & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( F = E => k3_funct_2(k1_zf_lang,B,F,k17_zf_lang(k3_zf_lang(C,D))) = k3_funct_2(k1_zf_lang,B,F,k18_zf_lang(k3_zf_lang(C,D))) ) ) ) ) ) )).
fof(fraenkel_a_3_4_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & l1_zmodul01(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_4_zmodul03(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k13_zmodul02(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_5_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_card_fil(D,B) ) => ( r2_hidden(A,a_3_5_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) & A = k9_subset_1(B,E,C) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_5_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_5_card_lar(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = k1_card_lar(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) ) => ( r2_hidden(A,a_3_5_cat_7(B,C,D)) <=> ? [E] : ? [F] : ? [G] : ( m1_subset_1(E,D) & m1_subset_1(F,D) & m1_subset_1(G,D) & A = k4_tarski(k4_tarski(E,F),G) & r2_tarski(E,D) & r2_tarski(F,D) & r2_tarski(G,D) & ! [H] : ( m1_subset_1(H,k1_cat_6(B)) => ! [I] : ( m1_subset_1(I,k1_cat_6(B)) => ! [J] : ( m1_subset_1(J,k1_cat_6(B)) => ! [K] : ( m1_subset_1(K,k1_cat_6(C)) => ! [L] : ( m1_subset_1(L,k1_cat_6(C)) => ! [M] : ( m1_subset_1(M,k1_cat_6(C)) => ( ( E = k4_tarski(H,K) & F = k4_tarski(I,L) & G = k4_tarski(J,M) ) => ( r1_cat_6(B,H,I) & r1_cat_6(C,K,L) & J = k2_cat_6(B,H,I) & M = k2_cat_6(C,K,L) ) ) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_5_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_xreal_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_circled1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,k5_xcmplx_0(C)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_5_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_circuit1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(B,k5_msafree2(B,C)),k7_partfun1(u1_struct_0(B),k1_msualg_1(B,k4_msafree2(B,D)),1))) & A = k4_card_1(E) ) ) ) )).
fof(fraenkel_a_3_5_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & m1_closure2(D,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) ) => ( r2_hidden(A,a_3_5_closure2(B,C,D)) <=> ? [E] : ( m1_closure2(E,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = E & r2_tarski(E,u1_closure2(B,C)) & r2_pboole(u1_struct_0(B),D,E) ) ) ) )).
fof(fraenkel_a_3_5_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_incsp_1(B) & l1_combgras(C,B,B) & m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(B))) ) => ( r2_hidden(A,a_3_5_combgras(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_incsp_1(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_incsp_1(B)) & r2_tarski(F,D) & k2_combgras(B,B,C,F) = E ) ) ) ) )).
fof(fraenkel_a_3_5_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_5_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_5_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,B) & v4_compos_1(C,B) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,B) & v4_compos_1(D,B) ) => ( r2_hidden(A,a_3_5_compos_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,k7_nat_d(k4_card_1(C),1)) & r2_tarski(E,k2_afinsq_1(k5_compos_1(B,D,k7_nat_d(k4_card_1(C),1)))) ) ) ) )).
fof(fraenkel_a_3_5_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_convex1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_5_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_5_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(D,k4_complex1(k10_csspace(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_5_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_5_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,D),k8_nat_1(u1_struct_0(B),C,E)) & ~ r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_5_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_5_domain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ( ~ r2_tarski(E,C) <=> r2_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_3_5_fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_5_fdiff_3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = E & r1_xxreal_0(B,E) & r1_xxreal_0(E,k2_xcmplx_0(B,k3_xxreal_0(D,C))) ) ) ) )).
fof(fraenkel_a_3_5_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_5_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(k3_funct_2(B,k1_numbers,C,E),k1_xxreal_1(D,k1_xxreal_0)) ) ) ) )).
fof(fraenkel_a_3_5_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) ) => ( r2_hidden(A,a_3_5_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_funct_1(k5_fomodel4(C,D,E),B) ) ) ) )).
fof(fraenkel_a_3_5_freealg,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v2_relat_1(B) & m2_finseq_1(B,k4_ordinal1) & v1_freealg(C) & m5_margrel1(D,u1_struct_0(k15_freealg(B,C)),k1_unialg_2(k15_freealg(B,C))) ) => ( r2_hidden(A,a_3_5_freealg(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,u1_struct_0(k15_freealg(B,C)),k3_finseq_2(u1_struct_0(k15_freealg(B,C)))) & A = E & k3_finseq_1(E) = k18_margrel1(D) ) ) ) )).
fof(fraenkel_a_3_5_goboard5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_5_goboard5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k18_euclid(E) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,k1_nat_1(C,1))) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,k1_nat_1(C,1))),k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_5_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_3_5_goboard6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) & A = E & ~ r1_xxreal_0(k6_xcmplx_0(C,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,k1_matrix_0(B)))),k3_metric_1(k14_euclid(2),D,E)) ) ) ) )).
fof(fraenkel_a_3_5_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_5_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k7_nat_d(B,1),1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C)),F) ) ) ) )).
fof(fraenkel_a_3_5_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_5_goedelcp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),C,E)) & r2_tarski(E,k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_3_5_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v2_struct_0(C) & v8_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k1_funct_2(B,B)) & v1_group_10(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(B,B)))) ) => ( r2_hidden(A,a_3_5_group_10(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r1_group_10(C,B,D,E) ) ) ) )).
fof(fraenkel_a_3_5_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v2_group_9(D,B) & v4_group_9(D,B,C) & m1_group_9(D,B,C) ) => ( r2_hidden(A,a_3_5_group_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(k10_group_9(B,C,D)),k12_group_9(B,C,D),E) = k1_group_1(k10_group_9(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_5_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k5_finsub_1(k7_normform(B)),k8_normform(B)) & m2_funct_2(D,k7_normform(B),k1_heyting1(B),k9_funct_2(k7_normform(B),k1_heyting1(B))) ) => ( r2_hidden(A,a_3_5_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k3_funct_2(k7_normform(B),k1_heyting1(B),D,E) & r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),D,E),k3_domain_1(k5_finsub_1(B),k5_finsub_1(B),E)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(C) & m2_subset_1(D,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) ) => ( r2_hidden(A,a_3_5_heyting2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(k1_heyting2(B,C,D),C)) & A = E & ! [F] : ( m1_subset_1(F,k4_partfun1(B,C)) => ~ ( r2_tarski(F,D) & r1_partfun1(E,F) ) ) ) ) ) )).
fof(fraenkel_a_3_5_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_ideal_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k10_ideal_1(B,D,E),C) ) ) ) )).
fof(fraenkel_a_3_5_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_5_jgraph_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = B & r1_xxreal_0(k18_euclid(E),D) & r1_xxreal_0(C,k18_euclid(E)) ) ) ) )).
fof(fraenkel_a_3_5_jordan9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_5_jordan9(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),D,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k3_finseq_1(k1_jordan8(B,C)))),F) ) ) ) )).
fof(fraenkel_a_3_5_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_jordan_a(C,B) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( r2_hidden(A,a_3_5_jordan_a(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_jordan6(B,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_xxreal_2(D)),E) & r1_jordan6(B,E,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(k1_xxreal_2(D),1))) ) ) ) )).
fof(fraenkel_a_3_5_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_3_5_laplace(B,C,D)) <=> ? [E] : ( m1_matrix_1(E,k9_matrix_1(B)) & A = E & k1_funct_1(E,C) = D ) ) ) )).
fof(fraenkel_a_3_5_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_lattices(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_mathmorp(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_5_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_5_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k1_metric_1(C,D,E) = B ) ) ) )).
fof(fraenkel_a_3_5_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ( r2_hidden(A,a_3_5_metrizts(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_pcomps_1(B))) & A = E & ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_funct_2(u1_struct_0(k3_pcomps_1(B)),u1_struct_0(k3_topmetr),k6_weierstr(B,C),E),k3_funct_2(u1_struct_0(k3_pcomps_1(B)),u1_struct_0(k3_topmetr),k6_weierstr(B,D),E))) ) ) ) )).
fof(fraenkel_a_3_5_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_mmlquery(B) & l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_5_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(B),k30_mmlquery(B,E),k2_relset_1(u1_mmlquery(B),C))),D) ) ) ) )).
fof(fraenkel_a_3_5_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_morph_01(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,k3_card_3(u3_msualg_1(B,k1_msafree3(B,C)))) ) => ( r2_hidden(A,a_3_5_msafree5(B,C,D)) <=> ? [E] : ( m1_trees_1(E,k9_xtuple_0(D)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_msafree4(G,u1_struct_0(B),C,k1_msafree4(u1_struct_0(B),C,F)) & k1_funct_1(D,E) = k1_domain_1(k1_msafree4(u1_struct_0(B),C,F),u1_struct_0(B),G,F) ) ) ) ) ) )).
fof(fraenkel_a_3_5_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_msualg_5(B,C)))) ) => ( r2_hidden(A,a_3_5_msualg_8(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C))))) & A = k15_lattice3(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)),E) & r2_tarski(E,a_3_4_msualg_8(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_5_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_5_nagata_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k5_setfam_1(u1_struct_0(B),k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_5_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_prvect_2(B) & m1_subset_1(C,u1_struct_0(k14_prvect_2(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_5_ndiff_5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_prvect_2(B))) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(k14_prvect_2(B),k5_algstr_0(k14_prvect_2(B),E,C))) ) ) ) )).
fof(fraenkel_a_3_5_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k7_normform(B))) & m1_subset_1(D,k5_finsub_1(k7_normform(B))) ) => ( r2_hidden(A,a_3_5_normform(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k7_normform(B)) & m1_subset_1(F,k7_normform(B)) & A = k1_normform(k5_finsub_1(B),k5_finsub_1(B),F,E) & r2_tarski(F,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k2_normsp_2(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_5_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_normsp_2(B))) & A = E & r1_xxreal_0(k3_metric_1(k2_normsp_2(B),C,E),D) ) ) ) )).
fof(fraenkel_a_3_5_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) ) => ( r2_hidden(A,a_3_5_osafree(B,C,D)) <=> ? [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & A = E & ~ ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ~ ( r3_orders_2(B,F,k2_msualg_1(B,D)) & r2_hidden(G,k1_funct_1(C,F)) & E = k1_trees_4(k4_tarski(G,F)) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0) & r3_orders_2(B,k2_msualg_1(B,F),k2_msualg_1(B,D)) ) ) ) ) ) ) )).
fof(fraenkel_a_3_5_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m3_pua2mss1(C,B) & m1_subset_1(D,u4_struct_0(k11_pua2mss1(B,C))) ) => ( r2_hidden(A,a_3_5_pua2mss1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u4_struct_0(k11_pua2mss1(B,C))) & A = E & k12_pua2mss1(B,C,E) = k12_pua2mss1(B,C,D) ) ) ) )).
fof(fraenkel_a_3_5_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(B,C))) ) => ( r2_hidden(A,a_3_5_qc_lang4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k9_qc_lang1(B)) & A = E & r1_qc_lang2(B,E,k3_trees_2(k9_qc_lang1(B),k2_qc_lang4(B,C),D)) ) ) ) )).
fof(fraenkel_a_3_5_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_5_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_rlaffin1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_algstr_0(B,D),E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_rlsub_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_5_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_rltopsp1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_5_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_rusub_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_5_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_5_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_xreal_0(C) & m2_finseq_2(D,k2_numbers,k12_seq_4(B)) ) => ( r2_hidden(A,a_3_5_seq_4(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & A = E & ~ r1_xxreal_0(C,k20_seq_4(k17_seq_4(B,E,D))) ) ) ) )).
fof(fraenkel_a_3_5_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_5_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(C,E) & r1_xxreal_0(k1_nat_1(D,1),E) ) ) ) )).
fof(fraenkel_a_3_5_topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_struct_0(B))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_5_topdim_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(k9_setfam_1(k2_struct_0(B)),C,E) & ~ r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_5_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_topgen_2(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_topgen_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_5_topreal3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(C,B),k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(2),k19_euclid(C,D),E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_5_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_5_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & ~ r1_xxreal_0(C,k12_euclid(k5_algstr_0(k15_euclid(B),E,D))) ) ) ) )).
fof(fraenkel_a_3_5_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(k4_waybel11(B,C))) ) => ( r2_hidden(A,a_3_5_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel11(B,C))) & A = k2_waybel_0(B,k4_waybel11(B,C),E) & r1_orders_2(k4_waybel11(B,C),D,E) ) ) ) )).
fof(fraenkel_a_3_5_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k13_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v2_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_waybel16(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k13_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_5_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_5_waybel21(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_5_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_5_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_5_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_5_waybel_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & v5_waybel_4(D,B) & v6_waybel_4(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_5_waybel_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),E,F),D) & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),F,C),D) ) ) ) ) )).
fof(fraenkel_a_3_5_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_relat_1(C) & v1_funct_1(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_waybel_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,k10_xtuple_0(C)) & r2_tarski(k1_yellow_0(B,E),k1_waybel_3(B,D)) ) ) ) )).
fof(fraenkel_a_3_5_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(B,B)),u1_struct_0(B)) & v5_pre_topc(C,k2_borsuk_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(B,B)),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(B,B)),u1_struct_0(B)) & v5_pre_topc(D,k2_borsuk_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(B,B)),u1_struct_0(B)))) ) => ( r2_hidden(A,a_3_5_yellow12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k2_borsuk_1(B,B))) & A = E & k3_funct_2(u1_struct_0(k2_borsuk_1(B,B)),u1_struct_0(B),C,E) = k3_funct_2(u1_struct_0(k2_borsuk_1(B,B)),u1_struct_0(B),D,E) ) ) ) )).
fof(fraenkel_a_3_5_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_5_yellow_4(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k10_lattice3(B,E,F) & r2_tarski(E,k6_domain_1(u1_struct_0(B),C)) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_5_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_5_yellow_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_5_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_5_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k7_classes2(B,E,F) & r2_tarski(E,k1_classes2(B,D)) & r2_tarski(F,k1_classes2(B,C)) ) ) ) )).
fof(fraenkel_a_3_5_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v1_relat_1(C) & v2_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & v5_ordinal1(C) & v1_zf_refle(C,B) & v3_ordinal1(D) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_5_zf_fund2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(k5_zf_refle(B,C,D),k1_funct_1(C,E)) ) ) ) )).
fof(fraenkel_a_3_5_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m2_subset_1(C,k4_ordinal1,k1_zf_lang) & m2_subset_1(D,k4_ordinal1,k1_zf_lang) ) => ( r2_hidden(A,a_3_5_zf_model(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_zf_model(B)) & A = E & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( F = E => r2_tarski(k3_funct_2(k1_zf_lang,B,F,k17_zf_lang(k4_zf_lang(C,D))),k3_funct_2(k1_zf_lang,B,F,k18_zf_lang(k4_zf_lang(C,D)))) ) ) ) ) ) )).
fof(fraenkel_a_3_6_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_relat_1(C) & v1_funct_1(C) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_6_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k1_funct_1(C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_6_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_3_6_combgras(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & A = E & k1_card_1(E) = k1_nat_1(B,1) & r1_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_6_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_6_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(E,k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_3_6_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_6_compos_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k2_xcmplx_0(E,D) & r2_tarski(E,k9_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_3_6_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_convex1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_6_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_6_convex2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(C,F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_6_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_6_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(k4_complex1(k10_csspace(B,E,C)),D) ) ) ) )).
fof(fraenkel_a_3_6_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_6_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k8_nat_1(u1_struct_0(B),C,E) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,D),k8_nat_1(u1_struct_0(B),C,E)) & ~ r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_6_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_6_domain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ( r2_tarski(E,C) <=> ~ r2_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_3_6_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_6_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & m1_subset_1(k3_funct_2(B,k1_numbers,C,E),k3_rcomp_1(D,k1_xxreal_0)) ) ) ) )).
fof(fraenkel_a_3_6_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D,k1_zfmisc_1(k1_fomodel4(B))) ) => ( r2_hidden(A,a_3_6_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_mcart_1(k1_zfmisc_1(k1_fomodel4(B)),k1_zfmisc_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & A = k7_relset_1(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),E,k6_domain_1(k1_zfmisc_1(k1_fomodel4(B)),D)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_6_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_6_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k7_nat_d(B,1),1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C)),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_3_6_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_6_goedelcp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_6_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & ~ v1_xboole_0(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_graph_3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & ~ ( E != D & ! [F] : ( m1_graph_1(F,B) => ! [G] : ( m2_finseq_1(G,u1_struct_0(B)) => ~ ( ~ v1_xboole_0(F) & r1_graph_2(B,G,F) & k1_funct_1(G,1) = D & k1_funct_1(G,k3_finseq_1(G)) = E ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_6_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v15_algstr_0(D) & v1_group_3(D,C) & m1_group_2(D,C) ) => ( r2_hidden(A,a_3_6_group_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(k5_group_6(C,D)),k8_group_6(C,D),E) = k1_group_1(k5_group_6(C,D)) ) ) ) )).
fof(fraenkel_a_3_6_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k5_finsub_1(k7_normform(B)),k8_normform(B)) & m2_funct_2(D,k7_normform(B),k1_heyting1(B),k9_funct_2(k7_normform(B),k1_heyting1(B))) ) => ( r2_hidden(A,a_3_6_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = k3_funct_2(k7_normform(B),k1_heyting1(B),D,E) & r2_tarski(k3_funct_2(k7_normform(B),k1_heyting1(B),D,E),k2_domain_1(k5_finsub_1(B),k5_finsub_1(B),E)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_6_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_3_6_heyting2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(D,D)) & A = k1_xboole_0 & k9_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_6_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v7_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_ideal_1(B,C,D)) <=> ? [E] : ( m1_ideal_1(E,B,k7_domain_1(u1_struct_0(B),C,D)) & A = k4_rlvect_1(B,E) ) ) ) )).
fof(fraenkel_a_3_6_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_6_jgraph_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_xxreal_0(k17_euclid(E),C) & r1_xxreal_0(B,k17_euclid(E)) & k18_euclid(E) = D ) ) ) )).
fof(fraenkel_a_3_6_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k14_euclid(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_6_jordan2c(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(B))) & A = E & ~ r1_xxreal_0(D,k3_metric_1(k14_euclid(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_6_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k4_lattices(B,C,E),D) ) ) ) )).
fof(fraenkel_a_3_6_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_tarski(k1_mathmorp(B,E,D),k4_mathmorp(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_6_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_metric_1(B,C,E,D) ) ) ) )).
fof(fraenkel_a_3_6_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ( r2_hidden(A,a_3_6_metrizts(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_funct_1(k6_weierstr(B,C),E),k1_funct_1(k6_weierstr(B,D),E))) ) ) ) )).
fof(fraenkel_a_3_6_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k2_morph_01(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_6_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v6_msafree5(C) & m1_subset_1(D,k3_card_3(u3_msualg_1(B,k1_msafree3(B,C)))) ) => ( r2_hidden(A,a_3_6_msafree5(B,C,D)) <=> ? [E] : ( m1_trees_1(E,k9_xtuple_0(D)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_msafree4(G,u1_struct_0(B),C,k1_msafree4(u1_struct_0(B),C,F)) & k1_funct_1(D,E) = k1_domain_1(k1_msafree4(u1_struct_0(B),C,F),u1_struct_0(B),G,F) ) ) ) ) ) )).
fof(fraenkel_a_3_6_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_6_nagata_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k3_tarski(k1_funct_1(C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_6_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(C,k2_normsp_0(B,k5_algstr_0(B,E,D))) ) ) ) )).
fof(fraenkel_a_3_6_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m2_subset_1(C,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m1_eqrel_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_pua2mss1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(k3_finseq_2(u1_struct_0(B))),D) & A = k9_subset_1(k3_finseq_2(u1_struct_0(B)),E,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,C))) & ~ r2_subset_1(E,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,C))) ) ) ) )).
fof(fraenkel_a_3_6_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_qc_lang4(D,B,C) ) => ( r2_hidden(A,a_3_6_qc_lang4(B,C,D)) <=> ? [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(B,C))) & A = E & k3_trees_2(k9_qc_lang1(B),k2_qc_lang4(B,C),E) = D ) ) ) )).
fof(fraenkel_a_3_6_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_lattices(B,k6_algstr_0(B,E,C),D) ) ) ) )).
fof(fraenkel_a_3_6_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_rlaffin1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,k4_algstr_0(B,D),E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_6_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_6_rlaffin3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_6_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_6_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_6_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_6_seq_4(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,C,E)),k1_numbers) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_6_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_6_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(k2_prob_1(B,C),E) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_6_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_topgen_2(B,C)))) ) => ( r2_hidden(A,a_3_6_topgen_2(B,C,D)) <=> ? [E] : ( m2_subset_1(E,u1_struct_0(k5_topgen_2(B,C)),D) & A = k6_domain_1(D,E) ) ) ) )).
fof(fraenkel_a_3_6_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_6_topreal3(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(B,C),k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(2),k19_euclid(D,C),E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_6_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_6_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))) = D ) ) ) )).
fof(fraenkel_a_3_6_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_6_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_6_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_6_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,E) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_6_waybel16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v2_waybel_0(D,B) & v13_waybel_0(D,B) & v1_waybel_6(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_waybel16(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k13_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_6_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_6_waybel21(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_6_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v2_waybel_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_6_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_waybel32(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_6_waybel32(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_6_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_6_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_waybel_9(B,C,D))) & A = k2_waybel_0(B,k5_waybel_9(B,C,D),E) ) ) ) )).
fof(fraenkel_a_3_6_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_6_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_waybel_1(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_6_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_6_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k13_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_6_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_6_yellow_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,k3_subset_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_6_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_6_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k9_classes2(B,E,F) & r2_tarski(E,k1_classes2(B,D)) & r2_tarski(F,k1_classes2(B,C)) ) ) ) )).
fof(fraenkel_a_3_6_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v1_relat_1(C) & v2_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & v5_ordinal1(C) & v1_zf_refle(C,B) & v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,a_3_6_zf_fund2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_funct_1(C,k1_funct_1(D,E)) ) ) ) )).
fof(fraenkel_a_3_6_zf_model,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m2_subset_1(C,k4_ordinal1,k1_zf_lang) & v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_6_zf_model(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_zf_model(B)) & A = E & ! [F] : ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_zf_lang,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ( F = k5_zf_model(k23_zf_lang(k7_zf_lang(C,D)),B) & G = E ) => ( r2_tarski(G,F) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_zf_lang,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ! [I] : ( m2_subset_1(I,k4_ordinal1,k1_zf_lang) => ( k3_funct_2(k1_zf_lang,B,H,I) != k3_funct_2(k1_zf_lang,B,G,I) => k22_zf_lang(k7_zf_lang(C,D)) = I ) ) => r2_tarski(H,F) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_3_6_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & v1_zmodul01(D) & m1_zmodul01(D,B) ) => ( r2_hidden(A,a_3_6_zmodul01(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(C,F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_7_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & ~ v1_xboole_0(C) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_7_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,C) & A = E & r2_tarski(D,E) ) ) ) )).
fof(fraenkel_a_3_7_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_circled1(C,B) & m1_rlvect_2(C,B) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_7_circled1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k1_numbers,k8_rlvect_2(B,D,C),E) != k5_numbers ) ) ) )).
fof(fraenkel_a_3_7_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_7_circuit1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(B,k5_msafree2(B,C)),D)) & A = k5_circuit1(B,C,D,E) ) ) ) )).
fof(fraenkel_a_3_7_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_7_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k1_funct_1(C,E) & r2_tarski(E,k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_3_7_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( r2_hidden(A,a_3_7_compos_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(E,k4_card_1(C)) & r2_tarski(E,k2_afinsq_1(D)) ) ) ) )).
fof(fraenkel_a_3_7_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_7_convex1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,k1_convex1(B,C,D)) & r2_tarski(F,k1_convex1(B,C,k6_xcmplx_0(1,D))) ) ) ) )).
fof(fraenkel_a_3_7_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) ) => ( r2_hidden(A,a_3_7_convex2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,k3_rusub_4(B,C)) & r2_tarski(F,k3_rusub_4(B,D)) ) ) ) )).
fof(fraenkel_a_3_7_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_7_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k4_complex1(k10_csspace(B,E,C)),D) ) ) ) )).
fof(fraenkel_a_3_7_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ~ v1_xboole_0(D) ) => ( r2_hidden(A,a_3_7_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,D) & A = E & ? [F] : ( m2_subset_1(F,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & F = E & ~ v1_finset_1(a_3_8_dickson(B,C,F)) ) ) ) ) )).
fof(fraenkel_a_3_7_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_3_7_domain_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & ~ ( r2_tarski(E,C) <=> r2_tarski(E,D) ) ) ) ) )).
fof(fraenkel_a_3_7_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_7_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(k3_funct_2(B,k1_numbers,C,E),k2_rcomp_1(k2_xxreal_0,D)) ) ) ) )).
fof(fraenkel_a_3_7_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_7_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1)),E) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k7_nat_d(C,1))),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C))) ) ) ) )).
fof(fraenkel_a_3_7_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_7_goedelcp(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),C,E)) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_7_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_2(C,u4_struct_0(B),k9_graph_3(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_7_graph_3(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,u4_struct_0(B),k9_graph_3(B)) & A = E & k10_xtuple_0(E) = k10_xtuple_0(C) & ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & r1_graph_2(B,F,E) & k1_funct_1(F,1) = D ) ) ) ) )).
fof(fraenkel_a_3_7_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_3_7_group_9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k1_group_1(C) ) ) ) )).
fof(fraenkel_a_3_7_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k5_finsub_1(k7_normform(B)),k8_normform(B)) & m2_subset_1(D,k5_finsub_1(k7_normform(B)),k8_normform(B)) ) => ( r2_hidden(A,a_3_7_heyting1(B,C,D)) <=> ? [E] : ( m2_funct_2(E,k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k9_funct_2(k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)))) & A = k6_normform(k7_normform(B),B,C,k6_funcop_1(k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B),k5_heyting1(B),E,k6_funct_3(k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)))) & r1_tarski(k8_setwiseo(k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),E,C),D) ) ) ) )).
fof(fraenkel_a_3_7_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_3_7_heyting2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_partfun1(D,D)) & A = k3_tarski(a_4_5_heyting2(B,C,D,E)) & k9_xtuple_0(E) = D ) ) ) )).
fof(fraenkel_a_3_7_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_7_jgraph_6(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(B,C),k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(2),k19_euclid(B,D),E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_7_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v10_lattices(C) & v4_lattice3(C) & v5_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_7_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k4_lattices(C,D,E) & r2_tarski(E,B) ) ) ) )).
fof(fraenkel_a_3_7_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & v15_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v18_lattices(D,B) & v21_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_7_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,D) & r3_lattices(B,E,k3_lattices(B,C,F)) ) ) ) ) )).
fof(fraenkel_a_3_7_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_3_7_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = E & r1_tarski(k1_mathmorp(k15_euclid(B),E,D),C) ) ) ) )).
fof(fraenkel_a_3_7_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_7_metric_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_xxreal_0(k1_metric_1(C,D,E),B) ) ) ) )).
fof(fraenkel_a_3_7_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ( r2_hidden(A,a_3_7_metrizts(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_funct_1(k6_weierstr(B,D),E),k1_funct_1(k6_weierstr(B,C),E))) ) ) ) )).
fof(fraenkel_a_3_7_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_3_7_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k1_mmlquery(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_7_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_7_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k1_morph_01(B,E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_7_normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_7_normsp_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_7_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m2_subset_1(C,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m1_eqrel_1(D,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,C))) ) => ( r2_hidden(A,a_3_7_pua2mss1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,C))),D) & A = k2_partfun1(k3_finseq_2(u1_struct_0(B)),u1_struct_0(B),k2_pua2mss1(B,C),E) ) ) ) )).
fof(fraenkel_a_3_7_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_7_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_lattices(B,k6_algstr_0(B,C,E),D) ) ) ) )).
fof(fraenkel_a_3_7_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_7_rlaffin1(B,C,D)) <=> ? [E] : ( v2_rusub_4(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r1_tarski(k4_subset_1(u1_struct_0(B),C,D),E) ) ) ) )).
fof(fraenkel_a_3_7_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_3_7_rlaffin3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k1_rlvect_1(C,E,B) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_7_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_7_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_7_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_7_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_7_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_xreal_0(C) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_7_seq_4(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & A = E & ~ r1_xxreal_0(C,k22_seq_4(B,E,D)) ) ) ) )).
fof(fraenkel_a_3_7_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_7_setlim_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_subset_1(B,k3_funct_2(k4_ordinal1,k9_setfam_1(B),C,E)) & r1_xxreal_0(D,E) ) ) ) )).
fof(fraenkel_a_3_7_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_7_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C))),D) ) ) ) )).
fof(fraenkel_a_3_7_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v13_waybel_0(C,B) & v1_waybel_6(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_7_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_7_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_waybel_3(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_7_waybel21(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_waybel_9(B,C,D))) & A = k2_yellow_0(B,a_4_6_waybel21(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_7_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_3_7_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_waybel_0(B,E) & r2_tarski(E,k2_xboole_0(D,k1_tarski(C))) ) ) ) )).
fof(fraenkel_a_3_7_waybel32,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_waybel32(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v10_waybel_0(C,B) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_7_waybel32(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k2_waybel_0(B,C,E) & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_7_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_7_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & r1_orders_2(C,D,E) ) ) ) )).
fof(fraenkel_a_3_7_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_7_waybel_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k11_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_7_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v2_struct_0(D) & l1_waybel_0(D,B) ) => ( r2_hidden(A,a_3_7_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k11_lattice3(B,C,E) & r2_tarski(E,k2_relset_1(u1_struct_0(B),u1_waybel_0(B,D))) ) ) ) )).
fof(fraenkel_a_3_7_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_7_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k13_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_7_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,C)))) ) => ( r2_hidden(A,a_3_7_yellow_9(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,E,F) & r1_tarski(k3_borsuk_1(B,C,E,F),D) & v3_pre_topc(E,B) & v3_pre_topc(F,C) ) ) ) )).
fof(fraenkel_a_3_7_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_7_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k1_zf_fund1(B,E,F) & r2_tarski(E,k1_classes2(B,D)) & r2_tarski(F,k1_classes2(B,C)) ) ) ) )).
fof(fraenkel_a_3_7_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_zmodul01(D,B) ) => ( r2_hidden(A,a_3_7_zmodul01(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r1_struct_0(k7_zmodul01(B,C,D),F) & r1_struct_0(D,E) ) ) ) )).
fof(fraenkel_a_3_8_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_8_card_fil(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,k6_card_fil(B)) & m1_subset_1(F,B) & A = k2_binop_1(k6_card_fil(B),B,k9_setfam_1(B),C,E,F) & F = D & r2_tarski(E,k6_card_fil(B)) ) ) ) )).
fof(fraenkel_a_3_8_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & m1_closure2(D,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) ) => ( r2_hidden(A,a_3_8_closure2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = E & r2_hidden(E,u1_closure2(B,C)) & r2_pboole(u1_struct_0(B),D,E) ) ) ) )).
fof(fraenkel_a_3_8_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_8_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_8_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_8_compos_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k2_xcmplx_0(E,C) & r2_tarski(E,a_2_3_compos_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_8_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_8_convex1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_rlvect_1(B,E,k6_xcmplx_0(1,D)) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_8_convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v2_convex1(C,B) & m1_rlvect_2(C,B) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_8_convex2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & k3_funct_2(u1_struct_0(B),k1_numbers,k8_rlvect_2(B,D,C),E) != k5_numbers ) ) ) )).
fof(fraenkel_a_3_8_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_8_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ~ r1_xxreal_0(D,k4_complex1(k10_csspace(B,E,C))) ) ) ) )).
fof(fraenkel_a_3_8_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m2_subset_1(D,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_3_8_dickson(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = E & r1_orders_2(B,D,k8_nat_1(u1_struct_0(B),C,E)) ) ) ) )).
fof(fraenkel_a_3_8_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_8_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & r2_tarski(k3_funct_2(B,k1_numbers,C,E),k2_xxreal_1(k2_xxreal_0,D)) ) ) ) )).
fof(fraenkel_a_3_8_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k1_fomodel4(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(B)),k1_fomodel4(B)))) ) => ( r2_hidden(A,a_3_8_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_fomodel4(B)) & A = E & r2_tarski(k1_domain_1(k1_zfmisc_1(k1_fomodel4(B)),k1_fomodel4(B),C,E),D) ) ) ) )).
fof(fraenkel_a_3_8_gobrd13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_3_8_gobrd13(B,C,D)) <=> ? [E] : ? [F] : ( v1_xreal_0(E) & v1_xreal_0(F) & A = k19_euclid(E,F) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,B,1)),E) & r1_xxreal_0(E,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(B,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,k7_nat_d(C,1))),F) & r1_xxreal_0(F,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,1,C))) ) ) ) )).
fof(fraenkel_a_3_8_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_cqc_lang(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) ) => ( r2_hidden(A,a_3_8_goedelcp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_qc_lang1(B)) & A = E & ~ r2_tarski(k2_qc_lang3(B,E),k2_xboole_0(k6_goedelcp(B,k6_domain_1(k3_cqc_lang(B),k3_funct_2(k4_ordinal1,k3_cqc_lang(B),C,k1_nat_1(k5_numbers,1)))),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),D,k5_numbers)))) ) ) ) )).
fof(fraenkel_a_3_8_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,u1_struct_0(k11_normform(B))) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_8_heyting1(B,C,D)) <=> ? [E] : ( m2_funct_2(E,k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k9_funct_2(k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)))) & A = k6_normform(k7_normform(B),B,k3_heyting1(B,C),k6_funcop_1(k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B),k5_heyting1(B),E,k6_funct_3(k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)))) & r1_tarski(k8_setwiseo(k7_normform(B),k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),E,k3_heyting1(B,C)),D) ) ) ) )).
fof(fraenkel_a_3_8_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_8_jgraph_6(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(B,D),k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(2),k19_euclid(C,D),E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_8_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v10_lattices(C) & v4_lattice3(C) & v5_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_8_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k4_lattices(C,E,D) & r2_tarski(E,B) ) ) ) )).
fof(fraenkel_a_3_8_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & v15_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_8_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,k4_lattices(B,F,G),E) & r2_tarski(F,D) & r2_tarski(G,k2_filter_0(B,C)) ) ) ) ) ) )).
fof(fraenkel_a_3_8_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_3_8_mathmorp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & A = k3_rlvect_1(k15_euclid(B),E,D) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_8_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( r2_hidden(A,a_3_8_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k15_funcop_1(k1_mmlquery(B,C,E),k1_xboole_0,k1_tarski(E),k1_xboole_0) & r2_tarski(E,k1_tarski(D)) ) ) ) )).
fof(fraenkel_a_3_8_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_8_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k1_morph_01(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v6_msafree5(C) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k3_card_3(u3_msualg_1(B,k1_msafree3(B,C))))) ) => ( r2_hidden(A,a_3_8_msafree5(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(B,k1_msafree3(B,C)))) & A = k15_msafree5(B,C,k1_msafree3(B,C),E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_8_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_3_8_pcomps_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k3_tarski(k1_funct_1(C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_8_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_8_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_8_rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_8_rlaffin1(B,C,D)) <=> ? [E] : ( m2_rlvect_2(E,B,k7_subset_1(u1_struct_0(B),C,D)) & A = k6_rlvect_2(B,E) & k3_rlaffin1(B,E) = 1 ) ) ) )).
fof(fraenkel_a_3_8_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_8_rltopsp1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_8_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_8_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k5_algstr_0(B,E,F) & r2_tarski(E,C) & r2_tarski(F,k6_domain_1(u1_struct_0(B),D)) ) ) ) )).
fof(fraenkel_a_3_8_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_8_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & m2_finseq_2(F,k2_numbers,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,E,F)),k1_numbers) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_8_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(C)))) ) => ( r2_hidden(A,a_3_8_setlim_1(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k1_funct_1(D,E) & r1_xxreal_0(k1_nat_1(B,1),E) ) ) ) )).
fof(fraenkel_a_3_8_topreal9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_8_topreal9(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & ~ r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(2),E,k19_euclid(B,C)))) ) ) ) )).
fof(fraenkel_a_3_8_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_8_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,E) & r1_xxreal_0(E,k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_3_8_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & v2_waybel_2(B) & l1_waybel_9(B) ) => ( r2_hidden(A,a_3_8_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_waybel30(B,k6_waybel_0(B,E)) & r2_tarski(E,k2_xboole_0(D,k1_tarski(C))) ) ) ) )).
fof(fraenkel_a_3_8_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_subset_1(C,u1_struct_0(k2_yellow_1(k2_struct_0(B)))) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) & m1_subset_1(D,u1_struct_0(k3_yellow19(B,k2_struct_0(B),C))) ) => ( r2_hidden(A,a_3_8_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k3_yellow19(B,k2_struct_0(B),C))) & A = E & r3_orders_2(k3_yellow19(B,k2_struct_0(B),C),D,E) ) ) ) )).
fof(fraenkel_a_3_8_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_8_waybel_2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,k11_waybel_0(B,C)) ) ) ) )).
fof(fraenkel_a_3_8_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_8_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k13_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_8_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) ) => ( r2_hidden(A,a_3_8_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k1_classes2(B,k6_classes2(B,E,F)) & r2_tarski(E,k1_tarski(D)) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_8_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_8_zmodul01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k3_rlvect_1(B,D,E) & r1_struct_0(C,E) ) ) ) )).
fof(fraenkel_a_3_9_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_9_card_fil(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k2_zfmisc_1(k6_card_fil(B),B)) & A = k1_funct_1(C,E) & r2_tarski(E,k2_zfmisc_1(k6_card_fil(B),k1_tarski(D))) ) ) ) )).
fof(fraenkel_a_3_9_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & m1_closure2(D,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) ) => ( r2_hidden(A,a_3_9_closure2(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = E & r2_pboole(u1_struct_0(B),D,E) & r2_tarski(E,u1_closure2(B,C)) ) ) ) )).
fof(fraenkel_a_3_9_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_9_compl_sp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(B)),C,E) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_9_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_compos_1(B) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) ) => ( r2_hidden(A,a_3_9_compos_1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & A = k2_xcmplx_0(E,C) & r2_tarski(E,a_2_3_compos_1(B,D)) ) ) ) )).
fof(fraenkel_a_3_9_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_9_convex1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,k1_convex1(B,C,k6_xcmplx_0(1,D))) & r2_tarski(F,k1_convex1(B,C,D)) ) ) ) )).
fof(fraenkel_a_3_9_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_csspace(B) & l1_csspace(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_9_convex4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & r1_xxreal_0(k9_complex1(k10_csspace(B,E,C)),D) ) ) ) )).
fof(fraenkel_a_3_9_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_9_finance1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = E & m1_subset_1(k3_funct_2(B,k1_numbers,C,E),k2_rcomp_1(k2_xxreal_0,D)) ) ) ) )).
fof(fraenkel_a_3_9_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(B)),k1_fomodel4(B)))) & m2_subset_1(D,k1_zfmisc_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))) ) => ( r2_hidden(A,a_3_9_fomodel4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_fomodel4(B)) & A = E & r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(B)),k1_fomodel4(B),D,E),C) ) ) ) )).
fof(fraenkel_a_3_9_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) & m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(B))) ) => ( r2_hidden(A,a_3_9_goedelcp(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_qc_lang1(B)) & A = E & ~ r2_tarski(k2_qc_lang3(B,E),k4_subset_1(k3_qc_lang1(B),k6_goedelcp(B,k6_domain_1(k3_cqc_lang(B),C)),D)) ) ) ) )).
fof(fraenkel_a_3_9_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v6_graph_1(C) & l1_graph_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_9_graph_3(B,C,D)) <=> ? [E] : ( m2_finseq_2(E,B,k3_finseq_2(B)) & A = E & v2_funct_1(E) & m2_graph_1(E,C) & ~ v1_xboole_0(E) & ? [F] : ( m2_finseq_1(F,u1_struct_0(C)) & r1_graph_2(C,F,E) & k1_funct_1(F,1) = D ) ) ) ) )).
fof(fraenkel_a_3_9_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & m1_subset_1(D,u1_struct_0(k11_normform(B))) ) => ( r2_hidden(A,a_3_9_heyting1(B,C,D)) <=> ? [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(B),k5_finsub_1(B)),k7_normform(B)) & A = E & r2_tarski(E,D) & ~ r2_tarski(k1_normform(k5_finsub_1(B),k5_finsub_1(B),E,C),k7_normform(B)) ) ) ) )).
fof(fraenkel_a_3_9_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( r2_hidden(A,a_3_9_jgraph_6(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(C,D),k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(2),k19_euclid(B,D),E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_9_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(C) & v10_lattices(C) & v4_lattice3(C) & v6_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) ) => ( r2_hidden(A,a_3_9_lattice3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = k3_lattices(C,D,E) & r2_tarski(E,B) ) ) ) )).
fof(fraenkel_a_3_9_latticea,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & v15_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_9_latticea(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,D) & r3_lattices(B,k4_lattices(B,C,F),E) ) ) ) ) )).
fof(fraenkel_a_3_9_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_9_mathmorp(B,C,D)) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,k1_rlvect_1(B,D,k6_xcmplx_0(1,E)),k1_rlvect_1(B,C,E)) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) ) ) ) )).
fof(fraenkel_a_3_9_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_9_mmlquery(B,C,D)) <=> ? [E] : ( m1_subset_1(E,B) & A = k15_funcop_1(k1_mmlquery(B,C,E),k1_xboole_0,k1_tarski(E),k1_xboole_0) & r2_tarski(E,k1_tarski(D)) ) ) ) )).
fof(fraenkel_a_3_9_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_9_morph_01(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = k3_funct_2(k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)),k3_morph_01(B,D),E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_9_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) ) => ( r2_hidden(A,a_3_9_osafree(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(B,C)),D),E) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( r2_tarski(G,k1_funct_1(C,F)) & D = k4_tarski(G,F) & r3_orders_2(B,F,E) ) ) ) ) ) )).
fof(fraenkel_a_3_9_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & m1_subset_1(D,k4_ordinal1) ) => ( r2_hidden(A,a_3_9_pcomps_2(B,C,D)) <=> ? [E] : ( v7_ordinal1(E) & A = k3_tarski(k1_funct_1(C,E)) & r1_xxreal_0(E,D) ) ) ) )).
fof(fraenkel_a_3_9_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v1_group_1(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_9_quantal1(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k9_quantal1(B,C,E) & r2_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_9_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_finset_1(D) & v1_rlaffin1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_9_rlaffin3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k1_algstr_0(B,C,E) & r2_tarski(E,k4_rlaffin1(B,D)) ) ) ) )).
fof(fraenkel_a_3_9_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_9_rusub_5(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_9_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(B))) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_3_9_seq_4(B,C,D)) <=> ? [E] : ? [F] : ( m2_finseq_2(E,k2_numbers,k12_seq_4(B)) & m2_finseq_2(F,k2_numbers,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,E,F)),k1_numbers) & r2_tarski(E,D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_3_9_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_3_9_topreal3(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & A = E & k17_euclid(E) = k17_euclid(B) & r1_xxreal_0(k18_euclid(D),k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),k18_euclid(C)) ) ) ) )).
fof(fraenkel_a_3_9_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,B) & v7_waybel_0(C) & l1_waybel_0(C,B) & m3_yellow_6(D,u1_struct_0(C),B) ) => ( r2_hidden(A,a_3_9_waybel11(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k7_yellow_6(B,C,D))) & A = k2_yellow_0(B,a_4_2_waybel11(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_3_9_waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_3_9_waybel12(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k12_lattice3(B,D,E) & r2_tarski(E,C) ) ) ) )).
fof(fraenkel_a_3_9_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_9_waybel30(B,C,D)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & A = E & r2_tarski(E,C) & r1_tarski(E,D) ) ) ) )).
fof(fraenkel_a_3_9_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_subset_1(C,u1_struct_0(k2_yellow_1(k2_struct_0(B)))) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B))))) & m1_subset_1(D,u1_struct_0(k3_yellow19(B,k2_struct_0(B),C))) ) => ( r2_hidden(A,a_3_9_waybel33(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k5_waybel_9(B,k3_yellow19(B,k2_struct_0(B),C),D))) & A = k2_waybel_0(B,k5_waybel_9(B,k3_yellow19(B,k2_struct_0(B),C),D),E) ) ) ) )).
fof(fraenkel_a_3_9_waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_9_waybel_2(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k11_lattice3(B,E,F) & r2_tarski(E,C) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_3_9_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_3_9_yellow_4(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = E & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r1_orders_2(B,E,F) & r2_tarski(F,k2_yellow_4(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_3_9_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => ( r2_hidden(A,a_3_9_zf_fund1(B,C,D)) <=> ? [E] : ? [F] : ( m1_subset_1(E,B) & m1_subset_1(F,B) & A = k1_zf_fund1(B,E,F) & r2_tarski(E,k1_classes2(B,C)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) ) => ( r2_hidden(A,a_4_0_abian(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,B,D) & A = F & ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & k1_funct_1(k1_abian(B,C,G),F) = k3_funct_2(B,B,k1_abian(B,C,H),E) & v1_abian(G) & v1_abian(H) ) ) ) ) ) )).
fof(fraenkel_a_4_0_afproj,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v7_struct_0(B) & v1_diraf(B) & l1_analoaf(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_afproj(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r2_aff_1(B,F,G,k2_aff_1(B,C,E)) & r2_tarski(G,k2_aff_1(B,C,D)) ) ) ) ) )).
fof(fraenkel_a_4_0_alg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m5_margrel1(E,u1_struct_0(B),k1_unialg_2(B)) ) => ( r2_hidden(A,a_4_0_alg_1(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,k8_eqrel_1(u1_struct_0(B),k6_alg_1(B,C,D)),k3_finseq_2(k8_eqrel_1(u1_struct_0(B),k6_alg_1(B,C,D)))) & A = F & k3_finseq_1(F) = k18_margrel1(E) ) ) ) )).
fof(fraenkel_a_4_0_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_algstr_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) = k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,F) ) ) ) )).
fof(fraenkel_a_4_0_ali2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_ali2(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_xreal_0(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_ali2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r1_xxreal_0(k3_metric_1(B,F,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,F)),k3_xcmplx_0(k3_metric_1(B,o_1_0_ali2(B),k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,o_1_0_ali2(B))),k2_power(D,E))) ) ) ) )).
fof(fraenkel_a_4_0_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v2_ami_wstd(C,B) & l1_extpro_1(C,B) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,u1_compos_1(C)) ) => ( r2_hidden(A,a_4_0_ami_wstd(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_card_3(k2_memstr_0(B,C))) & A = k5_memstr_0(B,C,k2_extpro_1(B,C,E,F)) & k5_memstr_0(B,C,F) = D ) ) ) )).
fof(fraenkel_a_4_0_amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & l1_extpro_1(C,B) & v7_ordinal1(D) & m1_subset_1(E,u1_compos_1(C)) ) => ( r2_hidden(A,a_4_0_amistd_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_card_3(k2_memstr_0(B,C))) & A = k5_memstr_0(B,C,k2_extpro_1(B,C,E,F)) & k5_memstr_0(B,C,F) = D ) ) ) )).
fof(fraenkel_a_4_0_amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v3_extpro_1(C,B) & v2_amistd_5(C,B) & v3_amistd_5(C,B) & v4_amistd_5(C,B) & l1_extpro_1(C,B) & v7_ordinal1(D) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(C)) & v1_funct_1(E) & v1_finset_1(E) & ~ v2_compos_1(E,C) ) => ( r2_hidden(A,a_4_0_amistd_5(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k2_xcmplx_0(F,D) & r2_tarski(F,k9_xtuple_0(E)) ) ) ) )).
fof(fraenkel_a_4_0_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_aofa_000(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(u1_unialg_1(B))) & m2_finseq_2(G,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & A = k1_funct_1(k2_pua2mss1(B,F),G) & r2_tarski(G,k1_relset_1(k3_finseq_2(u1_struct_0(B)),k2_pua2mss1(B,F))) & r1_tarski(k2_relset_1(u1_struct_0(B),G),k9_aofa_000(B,C,k2_xcmplx_0(D,E))) ) ) ) )).
fof(fraenkel_a_4_0_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,B,k4_finseq_2(D,k5_margrel1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k4_finseq_2(D,k5_margrel1)))) ) => ( r2_hidden(A,a_4_0_armstrng(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_card_3(C)) & A = F & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ! [H] : ( m1_subset_1(H,B) => k1_funct_1(F,H) = k6_binarith(D,k3_armstrng(D,k1_binari_3(D,G),k3_funct_2(B,k4_finseq_2(D,k5_margrel1),E,H))) ) ) ) ) ) )).
fof(fraenkel_a_4_0_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m2_subset_1(D,u1_struct_0(B),C) & m2_subset_1(E,u1_struct_0(B),C) ) => ( r2_hidden(A,a_4_0_bcialg_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r1_bcialg_1(B,k1_bcialg_1(B,F,D),E) ) ) ) )).
fof(fraenkel_a_4_0_bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m1_bcialg_1(C,B) & v12_bcialg_1(D,B) & m2_bcialg_1(D,B) & m5_bcialg_2(E,B,D) ) => ( r2_hidden(A,a_4_0_bcialg_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),E,F) & r2_tarski(k6_eqrel_1(u1_struct_0(B),u1_struct_0(B),E,F),u1_struct_0(k9_bcialg_2(B,E))) ) ) ) )).
fof(fraenkel_a_4_0_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l2_struct_0(B) & ~ v2_struct_0(C) & l1_vectsp_1(C,B) & ~ v2_struct_0(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)),u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_0_bilinear(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => k2_binop_1(u1_struct_0(C),u1_struct_0(D),u1_struct_0(B),E,F,G) = k4_struct_0(B) ) ) ) ) )).
fof(fraenkel_a_4_0_binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,C) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),C))) ) => ( r2_hidden(A,a_4_0_binom(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,B) & m2_funct_2(G,k4_ordinal1,C,k9_funct_2(k4_ordinal1,C)) & A = k4_tarski(F,G) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & r2_relset_1(k4_ordinal1,C,H,G) & k8_nat_1(C,H,k5_numbers) = D & ! [I] : ( v7_ordinal1(I) => k8_nat_1(C,H,k1_nat_1(I,1)) = k2_binop_1(B,C,C,E,F,k8_nat_1(C,H,I)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & m1_pre_topc(D,B) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C,D))))) ) => ( r2_hidden(A,a_4_0_borsuk_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & A = k3_borsuk_1(C,B,F,G) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(D))) & H = k9_subset_1(u1_struct_0(D),G,k2_struct_0(D)) & v3_pre_topc(F,C) & v3_pre_topc(G,B) & r2_tarski(k3_borsuk_1(C,D,F,H),E) ) ) ) ) )).
fof(fraenkel_a_4_0_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_connsp_1(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(B)))))) & v1_xreal_0(E) & ~ v1_rat_1(E) ) => ( r2_hidden(A,a_4_0_borsuk_7(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_numbers) & A = F & r2_tarski(F,k2_relset_1(u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(B))),D)) & ~ r1_xxreal_0(E,F) ) ) ) )).
fof(fraenkel_a_4_0_brouwer2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & v6_tbsp_1(E,k14_euclid(B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k14_euclid(B)))) ) => ( r2_hidden(A,a_4_0_brouwer2(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = F & r2_tarski(k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(B),D,F)),E) & r1_xxreal_0(k5_numbers,F) ) ) ) )).
fof(fraenkel_a_4_0_cantor_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(E) & v1_funct_2(E,D,k9_setfam_1(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k9_setfam_1(C)))) ) => ( r2_hidden(A,a_4_0_cantor_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(B))) & A = k8_setfam_1(B,F) & r2_tarski(F,k10_xtuple_0(E)) ) ) ) )).
fof(fraenkel_a_4_0_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(B),B),k9_setfam_1(B)))) & v1_funct_1(D) & v1_funct_2(D,B,k6_card_fil(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_card_fil(B)))) & m1_subset_1(E,k6_card_fil(B)) ) => ( r2_hidden(A,a_4_0_card_fil(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k2_binop_1(k6_card_fil(B),B,k9_setfam_1(B),C,E,F) & k3_funct_2(B,k6_card_fil(B),D,F) = E ) ) ) )).
fof(fraenkel_a_4_0_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_4_0_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))))) & A = F & r1_tarski(k2_relset_1(k2_xboole_0(C,k1_tarski(E)),k2_partfun1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E)),F,B)),C) & k1_funct_1(F,D) = E ) ) ) )).
fof(fraenkel_a_4_0_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_card_lar(B,C,D,E)) <=> ? [F] : ( m1_card_lar(F,B,C) & A = k1_card_lar(B,F,k8_nat_1(B,D,E)) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_0_cc0sp2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k2_numbers) & v1_cc0sp2(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) ) => ( r2_hidden(A,a_4_0_cc0sp2(B,C,D,E)) <=> ? [F] : ( v1_xcmplx_0(F) & A = F & ~ r1_xxreal_0(k7_xcmplx_0(D,3),k9_complex1(k6_xcmplx_0(F,k3_funct_2(u1_struct_0(B),k2_numbers,E,C)))) ) ) ) )).
fof(fraenkel_a_4_0_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_chain_1(C,B) & v7_ordinal1(D) & m2_subset_1(E,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,D)) ) => ( r2_hidden(A,a_4_0_chain_1(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,k1_nat_1(D,1))) & A = F & r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_4_0_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v3_rltopsp1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v3_rltopsp1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_circled1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_rlvect_1(B,F,E) & r2_tarski(F,k1_rusub_5(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_0_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_0_circuit1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ? [G] : ( m1_subset_1(G,u4_struct_0(B)) & k1_funct_1(u1_msualg_1(B),G) = k1_xboole_0 & k1_funct_1(u2_msualg_1(B),G) = D & r2_tarski(F,k2_relset_1(k4_msualg_1(B,G,C),k5_msualg_1(B,G,C))) ) ) ) ) )).
fof(fraenkel_a_4_0_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_0_circuit2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ? [G] : ( m1_subset_1(G,u4_struct_0(B)) & k3_funct_2(u4_struct_0(B),k3_finseq_2(u1_struct_0(B)),u1_msualg_1(B),G) = k1_xboole_0 & k3_funct_2(u4_struct_0(B),u1_struct_0(B),u2_msualg_1(B),G) = D & r2_tarski(F,k10_xtuple_0(k5_msualg_1(B,G,C))) ) ) ) ) )).
fof(fraenkel_a_4_0_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_0_closure1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & r1_tarski(k1_funct_1(D,C),F) ) ) ) )).
fof(fraenkel_a_4_0_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,C))) ) => ( r2_hidden(A,a_4_0_closure2(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,B,C,k2_closure2(B,C)) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,C))) ) => ( r2_hidden(A,a_4_0_closure3(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,B,C,k6_closure2(B,C)) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xcmplx_0(D) & m1_clvect_1(E,B) ) => ( r2_hidden(A,a_4_0_clvect_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,k1_clvect_1(B,C,D),F) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_0_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_incsp_1(B) & l1_incsp_1(C) & l1_combgras(D,B,C) & m1_subset_1(E,k1_zfmisc_1(u1_incsp_1(B))) ) => ( r2_hidden(A,a_4_0_combgras(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_incsp_1(C)) & A = F & ? [G] : ( m1_subset_1(G,u1_incsp_1(B)) & r2_tarski(G,E) & k2_combgras(B,C,D,G) = F ) ) ) ) )).
fof(fraenkel_a_4_0_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_0_compl_sp(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(u1_struct_0(B)),C) & A = k3_funct_2(C,k4_ordinal1,D,F) & r2_tarski(F,a_3_13_compl_sp(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_0_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,B) & v4_compos_1(C,B) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,B) & v4_compos_1(D,B) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,B) & v4_compos_1(E,B) ) => ( r2_hidden(A,a_4_0_compos_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & ~ r1_xxreal_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),k4_card_1(E)),1),1),F) ) ) ) )).
fof(fraenkel_a_4_0_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & m1_lattice4(D,k11_conlat_1(C),B) & m1_subset_1(E,k1_zfmisc_1(k2_relset_1(u1_struct_0(k11_conlat_1(C)),k4_conlat_2(C)))) ) => ( r2_hidden(A,a_4_0_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k11_conlat_1(C))) & A = k3_funct_2(u1_struct_0(k11_conlat_1(C)),u1_struct_0(B),D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_convex1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,F,G) & r2_tarski(F,k1_convex1(B,C,E)) & r2_tarski(G,k1_convex1(B,D,k6_xcmplx_0(1,E))) ) ) ) )).
fof(fraenkel_a_4_0_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k2_qc_lang1(B),k3_qc_lang1(B)) & v7_ordinal1(D) & v3_card_1(E,D) & m2_finseq_1(E,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_4_0_cqc_lang(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_funct_1(k1_cqc_lang(B,E,k2_cqc_lang(B,k3_qc_lang3(B,k5_numbers),C)),F) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(k1_cqc_lang(B,E,k2_cqc_lang(B,k3_qc_lang3(B,k5_numbers),C)))) & r2_tarski(k1_funct_1(k1_cqc_lang(B,E,k2_cqc_lang(B,k3_qc_lang3(B,k5_numbers),C)),F),k4_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_4_0_dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & v3_funct_2(E,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)))) ) => ( r2_hidden(A,a_4_0_dblseq_2(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(k1_funct_1(E,F),1) & r1_xxreal_0(F,D) & v7_ordinal1(F) ) ) ) )).
fof(fraenkel_a_4_0_dilworth,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & v4_dilworth(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v5_dilworth(D,k5_yellow_0(B,C)) & m1_eqrel_1(D,u1_struct_0(k5_yellow_0(B,C))) & ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_0_dilworth(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(u1_struct_0(k5_yellow_0(B,C))),D) & A = k9_subset_1(u1_struct_0(B),F,E) & ~ r1_xboole_0(F,E) ) ) ) )).
fof(fraenkel_a_4_0_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_0_domain_1(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ? [I] : ( m1_subset_1(F,B) & m1_subset_1(G,C) & m1_subset_1(H,D) & m1_subset_1(I,E) & A = k5_domain_1(B,C,D,E,F,G,H,I) ) ) ) )).
fof(fraenkel_a_4_0_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) & m1_subset_1(E,u1_struct_0(k9_int_3(B))) ) => ( r2_hidden(A,a_4_0_ec_pf_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(B))) & A = F & k2_binom(k9_int_3(B),F,2) = k3_rlvect_1(k9_int_3(B),k3_rlvect_1(k9_int_3(B),k2_binom(k9_int_3(B),E,3),k8_group_1(k9_int_3(B),C,E)),D) ) ) ) )).
fof(fraenkel_a_4_0_equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v4_msualg_1(D,B) & l3_msualg_1(D,B) & m1_pralg_2(E,C,B) ) => ( r2_hidden(A,a_4_0_equation(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k14_msualg_2(B,D)) & A = F & ? [G] : ( m1_subset_1(G,C) & ? [H] : ( v3_msualg_1(H,B) & v4_msualg_1(H,B) & v3_msafree2(H,B) & m1_msualg_2(H,B,D) & F = k5_pralg_2(C,B,E,G) & F = H ) ) ) ) ) )).
fof(fraenkel_a_4_0_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & m1_subset_1(E,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_4_0_euclid_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = F & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(k5_numbers,H) & r1_xxreal_0(k5_numbers,I) & k2_xcmplx_0(k2_xcmplx_0(G,H),I) = 1 & F = k3_rlvect_1(k15_euclid(B),k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,G),k1_rlvect_1(k15_euclid(B),D,H)),k1_rlvect_1(k15_euclid(B),E,I)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_0_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_finseq_2(D,k1_numbers,k1_euclid(B)) & m2_finseq_2(E,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_4_0_euclid_4(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(B)) & A = k12_euclid(k8_euclid(B,E,F)) & r2_tarski(F,k2_euclid_4(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_0_euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(D,u1_struct_0(k14_euclid(B))) & ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_0_euclid_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = k4_card_3(k1_funct_7(k12_pralg_1(k1_finseq_1(B),k7_funcop_1(k2_finseq_1(B),k3_topmetr)),F,k5_toprealb(k2_rcomp_1(k6_xcmplx_0(k1_funct_1(D,F),k7_xcmplx_0(1,E)),k2_xcmplx_0(k1_funct_1(D,F),k7_xcmplx_0(1,E)))))) ) ) ) )).
fof(fraenkel_a_4_0_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_finseq_2(D,k1_numbers,k1_euclid(B)) & m2_finseq_2(E,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_4_0_euclidlp(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(B)) & A = k12_euclid(k8_euclid(B,C,F)) & r2_tarski(F,k2_euclid_4(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_0_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_fcont_1(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = F & ~ r1_xxreal_0(F,k6_xcmplx_0(k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,C,B),D),E)) & ~ r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,C,B),D),E),F) ) ) ) )).
fof(fraenkel_a_4_0_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & v1_prob_1(E,C) & v4_prob_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_0_finance1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & r1_finance1(B,C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_0_flang_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_flang_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k8_afinsq_1(B))) & A = F & ? [G] : ( v7_ordinal1(G) & r1_xxreal_0(D,G) & r1_xxreal_0(G,E) & F = k7_flang_1(B,C,G) ) ) ) ) )).
fof(fraenkel_a_4_0_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_fomodel3(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_finseq_2(F,B,k4_finseq_2(E,B)) & m2_finseq_2(G,C,k4_finseq_2(E,C)) & A = k1_domain_1(k4_finseq_2(E,B),k4_finseq_2(E,C),F,G) & ! [H] : ( r2_tarski(H,k2_finseq_1(E)) => r2_hidden(k4_tarski(k1_funct_1(F,H),k1_funct_1(G,H)),D) ) ) ) ) )).
fof(fraenkel_a_4_0_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v5_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) & v3_card_1(D,k1_int_2(k19_fomodel1(B,C))) & m2_subset_1(D,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & v3_card_1(E,k1_int_2(k19_fomodel1(B,C))) & m2_subset_1(E,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) ) => ( r2_hidden(A,a_4_0_fomodel4(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(k1_int_2(k19_fomodel1(B,C)))) & v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))))) & v1_funct_1(H) & v1_funct_2(H,k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))))) & A = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),G,F)),k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),H,F)) & G = D & H = E ) ) ) )).
fof(fraenkel_a_4_0_frechet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_frechet(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k8_relset_1(u1_struct_0(B),u1_struct_0(C),D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & ~ v2_struct_0(D) & l1_fsm_3(D,B,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_4_0_fsm_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k8_afinsq_1(B)) & A = F & ~ r1_xboole_0(E,k3_rewrite3(B,C,D,F,u1_fsm_3(B,C,D))) ) ) ) )).
fof(fraenkel_a_4_0_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & l1_altcat_1(C) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,k1_altcat_1(C,D,D)) ) => ( r2_hidden(A,a_4_0_functor0(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k4_tarski(k4_tarski(F,G),k7_funcop_1(k1_altcat_1(B,F,G),E)) ) ) ) )).
fof(fraenkel_a_4_0_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_goboard2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k17_euclid(F) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E)),k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D))) ) ) ) )).
fof(fraenkel_a_4_0_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k17_euclid(F) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,C)),k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E))) ) ) ) )).
fof(fraenkel_a_4_0_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_4_0_goboard6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(2))) & A = F & ~ r1_xxreal_0(k3_xxreal_0(k6_xcmplx_0(D,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,B,1))),k6_xcmplx_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1),1)),D)),k3_metric_1(k14_euclid(2),E,F)) ) ) ) )).
fof(fraenkel_a_4_0_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_cqc_lang(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(B)))) & v7_ordinal1(D) & m1_subset_1(E,k1_zfmisc_1(k3_qc_lang1(B))) ) => ( r2_hidden(A,a_4_0_goedelcp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_qc_lang1(B)) & A = F & ~ r2_tarski(k2_qc_lang3(B,F),k4_subset_1(k3_qc_lang1(B),E,k6_goedelcp(B,k6_domain_1(k3_cqc_lang(B),k3_funct_2(k4_ordinal1,k3_cqc_lang(B),C,k1_nat_1(D,1)))))) ) ) ) )).
fof(fraenkel_a_4_0_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_graph_2(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,D) ) | ( r1_xxreal_0(k1_nat_1(E,1),F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v6_graph_1(B) & l1_graph_1(B) & v2_funct_1(C) & v1_msscyc_1(C,B) & m2_graph_1(C,B) & m2_finseq_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_graph_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) & k1_funct_1(D,F) = E ) ) ) )).
fof(fraenkel_a_4_0_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & v7_graph_1(C,B) & m2_graph_1(C,B) & v7_ordinal1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_0_graph_4(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) | ( r1_xxreal_0(D,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_graph_5(B,C,D,E)) <=> ? [F] : ( v7_graph_1(F,B) & v1_graph_4(F,B) & m2_graph_1(F,B) & A = F & r4_graph_5(B,F,C,D,E) ) ) ) )).
fof(fraenkel_a_4_0_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v7_struct_0(D) & v13_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l6_algstr_0(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_4_0_groeb_1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = k3_termord(B,C,D,F) & r2_tarski(F,E) & F != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_4_0_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom7(E,B,C) & v3_polynom7(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_groeb_3(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,k2_polynom7(B,C,E),F) & r2_tarski(F,k3_polynom1(k15_pre_poly(B),C,D)) ) ) ) )).
fof(fraenkel_a_4_0_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(C,C)) & v1_group_10(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(C,C)))) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_0_group_10(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & k7_relset_1(C,C,k1_group_10(B,C,D,F),E) = E ) ) ) )).
fof(fraenkel_a_4_0_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v4_group_9(D,B,C) & m1_group_9(D,B,C) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_0_group_9(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k7_group_9(B,C,D)) & m1_subset_1(G,k7_group_9(B,C,D)) & A = k4_tarski(F,G) & ? [H] : ( m1_subset_1(H,u1_struct_0(C)) & ? [I] : ( m1_subset_1(I,u1_struct_0(C)) & r2_tarski(H,F) & r2_tarski(I,G) & I = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k3_group_9(B,C,E),H) ) ) ) ) ) )).
fof(fraenkel_a_4_0_hahnban,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_numbers) & v1_hahnban(D,B) & v4_hahnban(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),k1_numbers) & v2_hahnban(E,C) & v3_hahnban(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_numbers))) ) => ( r2_hidden(A,a_4_0_hahnban(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(u1_struct_0(B),k1_numbers)) & A = F & ? [G] : ( m1_rlsub_1(G,B) & r1_tarski(u1_struct_0(C),u1_struct_0(G)) & k5_relat_1(F,u1_struct_0(C)) = E & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(G),k1_numbers) & v2_hahnban(H,G) & v3_hahnban(H,G) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(G),k1_numbers))) & F = H & ! [I] : ( m1_subset_1(I,u1_struct_0(G)) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ( I = J => r1_xxreal_0(k3_funct_2(u1_struct_0(G),k1_numbers,H,I),k3_funct_2(u1_struct_0(B),k1_numbers,D,J)) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_4_0_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_4_0_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(D,E)) & A = k3_tarski(a_5_0_heyting2(B,C,D,E,F)) & k9_xtuple_0(F) = D ) ) ) )).
fof(fraenkel_a_4_0_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_0_ideal_1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k1_algstr_0(B,F,G) & r2_tarski(F,C) & r2_tarski(G,k11_ideal_1(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_0_integra2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) ) => ( r2_hidden(A,a_4_0_integra2(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = k3_xcmplx_0(B,F) & r2_hidden(F,k1_rvsum_1(k2_partfun1(C,k1_numbers,E,D))) ) ) ) )).
fof(fraenkel_a_4_0_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_jgraph_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ r1_xxreal_0(k17_euclid(F),B) & ~ r1_xxreal_0(C,k17_euclid(F)) & ~ r1_xxreal_0(k18_euclid(F),D) & ~ r1_xxreal_0(E,k18_euclid(F)) ) ) ) )).
fof(fraenkel_a_4_0_jgraph_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_jgraph_7(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) ) ) )).
fof(fraenkel_a_4_0_jgraph_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_jgraph_8(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) ) ) )).
fof(fraenkel_a_4_0_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_jordan(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ ( k17_euclid(F) = B & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = E ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = D ) & ~ ( k17_euclid(F) = C & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_jordan1(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & ~ r1_xxreal_0(F,B) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(G,C) & ~ r1_xxreal_0(E,G) ) ) ) )).
fof(fraenkel_a_4_0_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_jordan10(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),D,1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,E)),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k1_nat_1(E,1)))) ) ) ) )).
fof(fraenkel_a_4_0_jordan16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_0_jordan16(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,C,D,F,E) ) ) ) )).
fof(fraenkel_a_4_0_jordan18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_0_jordan18(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(E,B,C,B,F) & r1_jordan5c(E,B,C,F,D) ) ) ) )).
fof(fraenkel_a_4_0_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_0_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k7_nat_d(k3_xcmplx_0(2,C),2),1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k1_nat_1(k7_nat_d(k3_xcmplx_0(2,C),2),1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k7_nat_d(k3_xcmplx_0(2,D),1))),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k1_nat_1(k7_nat_d(k3_xcmplx_0(2,D),1),1)))) ) ) ) )).
fof(fraenkel_a_4_0_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_0_jordan20(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,C,D,E,F) & r1_jordan5c(B,C,D,F,E) ) ) ) )).
fof(fraenkel_a_4_0_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & v1_xreal_0(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_0_jordan2b(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = F & ~ r1_xxreal_0(k7_partfun1(k1_numbers,F,E),C) & ~ r1_xxreal_0(D,k7_partfun1(k1_numbers,F,E)) ) ) ) )).
fof(fraenkel_a_4_0_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_xreal_0(C) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(k14_euclid(B))) ) => ( r2_hidden(A,a_4_0_jordan2c(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(B))) & A = F & ~ r1_xxreal_0(k3_xcmplx_0(C,D),k3_metric_1(k14_euclid(B),E,F)) ) ) ) )).
fof(fraenkel_a_4_0_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k2_topmetr(B,C))) & m1_subset_1(E,k1_numbers) ) => ( r2_hidden(A,a_4_0_jordan5a(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k2_topmetr(B,C))) & A = F & ~ r1_xxreal_0(E,k3_metric_1(k2_topmetr(B,C),D,F)) ) ) ) )).
fof(fraenkel_a_4_0_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_0_jordan6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,C,D,F,E) ) ) ) )).
fof(fraenkel_a_4_0_jordan8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_0_jordan8(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k2_xcmplx_0(B,D),1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k1_nat_1(k2_xcmplx_0(B,D),1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,1,C)),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,1,k1_nat_1(C,1)))) ) ) ) )).
fof(fraenkel_a_4_0_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & v2_compts_1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(k15_euclid(B),k15_euclid(B))),k1_numbers) & v1_pscomp_1(D,k2_borsuk_1(k15_euclid(B),k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(B),k15_euclid(B))),k1_numbers))) & m1_subset_1(E,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_4_0_jordan_a(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = k1_binop_1(D,E,F) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_0_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v12_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_matrix_1(D,k9_matrix_1(k1_nat_1(B,2))) & m1_subset_1(E,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))))) ) => ( r2_hidden(A,a_4_0_laplace(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k2_sgraph1(k2_finseq_1(k1_nat_1(B,2)))) & A = F & r2_tarski(F,E) & k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,D),F) = k4_algstr_0(C,k1_group_1(C)) ) ) ) )).
fof(fraenkel_a_4_0_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),B))) & m1_subset_1(D,B) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_4_0_lattice3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k3_funct_2(k1_zfmisc_1(B),B,C,k7_domain_1(B,F,D)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,D))) ) => ( r2_hidden(A,a_4_0_lexbfs(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(D,E,F) & r1_xxreal_0(B,F) & r1_xxreal_0(F,k1_nat_1(B,C)) ) ) ) )).
fof(fraenkel_a_4_0_lmod_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_6(D,B,C) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_lmod_5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & k3_funct_2(u1_struct_0(C),u1_struct_0(B),k6_vectsp_6(B,C,E,D),F) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_4_0_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) ) => ( r2_hidden(A,a_4_0_lpspacc1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) & A = F & r2_tarski(F,k13_lpspacc1(B,C,D)) & r2_tarski(E,k13_lpspacc1(B,C,D)) & r1_lpspacc1(B,C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_0_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_hidden(A,a_4_0_lpspace1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = F & r2_tarski(F,k9_lpspace1(B,C,D)) & r2_tarski(E,k9_lpspace1(B,C,D)) & r1_lpspace1(B,C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_0_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v2_xxreal_0(E) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_lpspace2(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = F & ? [G] : ( m2_subset_1(G,k1_zfmisc_1(B),C) & k1_funct_1(D,k3_subset_1(B,G)) = k5_numbers & k1_relset_1(B,F) = G & r1_mesfunc6(B,C,F,G) & r3_mesfunc6(B,C,D,k2_mesfun6c(E,B,k56_valued_1(B,k1_numbers,F))) ) ) ) ) )).
fof(fraenkel_a_4_0_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_mathmorp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,k5_algstr_0(B,E,D)) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_0_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_0_matrix11(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(B,k1_tarski(D)),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),C))) & A = F & k2_partfun1(k2_xboole_0(B,k1_tarski(D)),C,F,B) = E ) ) ) )).
fof(fraenkel_a_4_0_matrtop2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(k2_vectsp_1),B,C) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & v1_rlaffin1(E,k15_euclid(B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_4_0_matrtop2(B,C,D,E)) <=> ? [F] : ( m2_rlvect_2(F,k15_euclid(C),k2_ranknull(k15_euclid(B),k15_euclid(C),k3_matrtop1(B,C,D),E)) & A = k6_rlvect_2(k15_euclid(C),F) & k3_rlaffin1(k15_euclid(C),F) = 1 ) ) ) )).
fof(fraenkel_a_4_0_measure6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_measure6(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = k2_xcmplx_0(E,F) & r2_hidden(F,k7_relset_1(B,k1_numbers,D,C)) ) ) ) )).
fof(fraenkel_a_4_0_mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(E) & m2_finseq_1(E,C) ) => ( r2_hidden(A,a_4_0_mesfunc3(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(B),C) & A = F & r2_tarski(F,k2_relset_1(C,E)) & ! [G] : ( m1_subset_1(G,B) => ( r2_tarski(G,F) => k12_supinf_2(D,G) = k1_supinf_2 ) ) ) ) ) )).
fof(fraenkel_a_4_0_mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_mesfunc8(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(E,G) => r2_tarski(F,k8_nat_1(C,D,G)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_cantor_1(D,B) & v1_tops_2(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = k7_relset_1(u1_struct_0(B),u1_struct_0(C),E,F) & r2_hidden(F,D) ) ) ) )).
fof(fraenkel_a_4_0_mmlquer2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v7_ordinal1(D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_4_0_mmlquer2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & A = k7_relat_1(k8_funct_7(C,D),F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ( r2_hidden(A,a_4_0_mod_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = F & r2_hidden(E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_modal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) & ~ v1_xboole_0(C) & v1_trees_1(C) & m2_finseq_1(D,k4_ordinal1) & m1_trees_1(E,k5_trees_1(B,D,C)) ) => ( r2_hidden(A,a_4_0_modal_1(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k8_finseq_1(k4_ordinal1,E,k14_trees_3(F)) & r2_tarski(k8_finseq_1(k4_ordinal1,E,k14_trees_3(F)),k5_trees_1(B,D,C)) ) ) ) )).
fof(fraenkel_a_4_0_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(B))) & m1_subset_1(E,u1_struct_0(k48_modelc_1(B,C,D))) ) => ( r2_hidden(A,a_4_0_modelc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r3_modelc_1(B,C,D,F,E) ) ) ) )).
fof(fraenkel_a_4_0_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & l2_modelc_3(C,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_modelc_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r2_tarski(k8_nat_1(u1_struct_0(C),D,F),E) ) ) ) )).
fof(fraenkel_a_4_0_msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_msafree(B,C,D,E)) <=> ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k4_dtconstr(k5_msafree(B,C))) & A = F & ~ ( ! [G] : ~ ( r2_tarski(G,k1_funct_1(C,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,D),E))) & F = k1_trees_4(k4_tarski(G,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,D),E))) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(B)) => ~ ( k4_tarski(G,u1_struct_0(B)) = k1_funct_1(F,k1_xboole_0) & k2_msualg_1(B,G) = k7_partfun1(u1_struct_0(B),k1_msualg_1(B,D),E) ) ) ) ) ) ) )).
fof(fraenkel_a_4_0_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_msafree3(B,C,D,E)) <=> ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) & A = F & k7_msaterm(B,C,F) = E & r2_pboole(u1_struct_0(B),k4_msafree3(B,C,F),D) ) ) ) )).
fof(fraenkel_a_4_0_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v12_msafree4(D,B,C) & v13_msafree4(D,B,C) & m1_msualg_4(D,B,C,C) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_0_msafree4(B,C,D,E)) <=> ? [F] : ( m1_msafree4(F,B,C,k1_msafree4(B,C,E)) & A = k8_msafree4(k1_msafree4(B,C,E),k7_msafree4(B,C,C,D,E),F) ) ) ) )).
fof(fraenkel_a_4_0_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,C))),k3_msualg_1(B,D,k1_msafree3(B,C))) ) => ( r2_hidden(A,a_4_0_msafree5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(B,k1_msafree3(B,C)))) & A = k11_msafree5(B,C,k1_msafree3(B,C),F) & r2_tarski(F,k10_xtuple_0(E)) ) ) ) )).
fof(fraenkel_a_4_0_msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_0_msscyc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ? [G] : ( m1_subset_1(G,u4_struct_0(B)) & k3_funct_2(u4_struct_0(B),k3_finseq_2(u1_struct_0(B)),u1_msualg_1(B),G) = k1_xboole_0 & k3_funct_2(u4_struct_0(B),u1_struct_0(B),u2_msualg_1(B),G) = D & r2_tarski(F,k10_xtuple_0(k5_msualg_1(B,G,C))) ) ) ) ) )).
fof(fraenkel_a_4_0_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_msscyc_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & A = F & r1_xxreal_0(k8_msafree2(B,C,E,F),D) ) ) ) )).
fof(fraenkel_a_4_0_msualg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_0_msualg_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ? [G] : ( m1_subset_1(G,u4_struct_0(B)) & k3_funct_2(u4_struct_0(B),k3_finseq_2(u1_struct_0(B)),u1_msualg_1(B),G) = k1_xboole_0 & k3_funct_2(u4_struct_0(B),u1_struct_0(B),u2_msualg_1(B),G) = D & r2_tarski(F,k10_xtuple_0(k5_msualg_1(B,G,C))) ) ) ) ) )).
fof(fraenkel_a_4_0_msualg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,k6_pboole(B,C,C)))) ) => ( r2_hidden(A,a_4_0_msualg_7(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,B,k6_pboole(B,C,C),k6_closure2(B,k6_pboole(B,C,C))) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_msualg_5(B,C)))) & m1_subset_1(E,u4_struct_0(B)) ) => ( r2_hidden(A,a_4_0_msualg_8(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)),k6_closure2(u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)))) & A = k1_funct_1(F,k2_msualg_1(B,E)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C))))) & m1_subset_1(E,u4_struct_0(B)) ) => ( r2_hidden(A,a_4_0_msualg_9(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)),k6_closure2(u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)))) & A = k1_funct_1(F,k2_msualg_1(B,E)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v3_necklace(C) & m1_mycielsk(C,B) & v1_finset_1(D) & v6_dilworth(D,C) & m1_eqrel_1(D,u1_struct_0(C)) & v1_relat_1(E) & v1_funct_1(E) ) => ( r2_hidden(A,a_4_0_mycielsk(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = k2_xboole_0(F,k1_funct_1(E,F)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_0_nagata_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,k1_funct_1(C,E)) & r1_tarski(k2_pre_topc(B,F),D) ) ) ) )).
fof(fraenkel_a_4_0_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) ) => ( r2_hidden(A,a_4_0_nagata_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & ? [G] : ( G = E & r2_tarski(F,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & r1_tarski(k2_pre_topc(B,F),G) ) ) ) ) )).
fof(fraenkel_a_4_0_ndiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_ndiff_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & ~ r1_xxreal_0(k3_xxreal_0(D,E),k2_normsp_0(B,k5_algstr_0(B,F,C))) ) ) ) )).
fof(fraenkel_a_4_0_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_ndiff_5(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = F & r2_hidden(F,k1_rcomp_1(k5_numbers,1)) & r1_xxreal_0(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,F),k7_partfun1(u1_struct_0(B),C,k5_numbers))),k6_xcmplx_0(k1_funct_1(D,F),k1_funct_1(D,k5_numbers))),k3_xcmplx_0(k7_xcmplx_0(E,2),F)),k7_xcmplx_0(E,2)),k5_numbers) ) ) ) )).
fof(fraenkel_a_4_0_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_nfcont_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & ~ r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,F,k7_partfun1(u1_struct_0(B),C,D)))) ) ) ) )).
fof(fraenkel_a_4_0_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_nfcont_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_euclid(B)) & A = F & ~ r1_xxreal_0(E,k12_euclid(k8_euclid(B,F,k7_partfun1(k1_euclid(B),D,C)))) ) ) ) )).
fof(fraenkel_a_4_0_orders_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v3_ordinal1(E) ) => ( r2_hidden(A,a_4_0_orders_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & ! [G] : ( r2_tarski(G,k2_relset_1(k10_xtuple_0(D),k5_relat_1(D,E))) => ( G != F & r2_hidden(k4_tarski(G,F),B) ) ) ) ) ) )).
fof(fraenkel_a_4_0_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal6(C) & v3_ordinal1(D) & v3_ordinal1(E) & ~ v1_xboole_0(E) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_0_ordinal6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = k1_funct_1(k1_funct_1(C,F),D) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) & m2_finseq_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_0_osafree(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m1_subset_1(F,u4_struct_0(B)) & m1_subset_1(G,k3_msualg_1(B,F,k8_osafree(B,C))) & m1_subset_1(H,u1_struct_0(B)) & A = k4_tarski(k3_funct_2(k3_msualg_1(B,F,k8_osafree(B,C)),k4_msualg_1(B,F,k8_osafree(B,C)),k5_msualg_1(B,F,k8_osafree(B,C)),G),H) & ? [I] : ( m1_subset_1(I,u4_struct_0(B)) & D = k4_tarski(I,u1_struct_0(B)) & r1_osalg_1(B,I,F) & k3_finseq_1(k1_msualg_1(B,I)) = k3_finseq_1(k1_msualg_1(B,F)) & r3_orders_2(B,k2_msualg_1(B,I),H) & r3_orders_2(B,k2_msualg_1(B,F),H) ) & ? [I] : ( m2_finseq_2(I,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & k4_finseq_1(I) = k4_finseq_1(E) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(E)) => r2_hidden(k4_tarski(k1_funct_1(G,J),k7_partfun1(u1_struct_0(B),I,J)),k1_funct_1(E,J)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_0_partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(E) & v1_funct_2(E,D,k9_setfam_1(k9_setfam_1(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k9_setfam_1(k9_setfam_1(B))))) ) => ( r2_hidden(A,a_4_0_partit1(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(B),D) & A = k3_funct_2(D,k9_setfam_1(k9_setfam_1(B)),E,F) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_0_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_relat_1(C) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_4_0_pcomps_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k8_metric_1(D,F,B) & r2_tarski(F,k7_subset_1(u1_struct_0(D),E,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(D)),C,E))) & r1_tarski(k8_metric_1(D,F,k7_xcmplx_0(3,2)),E) ) ) ) )).
fof(fraenkel_a_4_0_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k4_real_ns1(B))) & v7_ordinal1(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_pdiff_7(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(1))) & A = F & ~ r1_xxreal_0(E,k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),F,k3_funct_2(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(D,B),C)))) ) ) ) )).
fof(fraenkel_a_4_0_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v15_pencil_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_pencil_1(B,C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_pencil_1(B,C)),u1_struct_0(k5_pencil_1(B,C))) & v1_pencil_2(E,k5_pencil_1(B,C),k5_pencil_1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(B,C)),u1_struct_0(k5_pencil_1(B,C))))) ) => ( r2_hidden(A,a_4_0_pencil_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k5_pencil_1(B,C)))) & A = F & ~ v1_zfmisc_1(F) & v2_pencil_1(F,k5_pencil_1(B,C)) & v1_pencil_1(F,k5_pencil_1(B,C)) & r1_pencil_2(k5_pencil_1(B,C),k7_relset_1(u1_struct_0(k5_pencil_1(B,C)),u1_struct_0(k5_pencil_1(B,C)),E,D),F) ) ) ) )).
fof(fraenkel_a_4_0_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_0_pencil_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & k1_funct_1(C,F) != k1_funct_1(k1_funct_7(D,E,k1_funct_1(C,E)),F) ) ) ) )).
fof(fraenkel_a_4_0_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( r2_hidden(A,a_4_0_petri_2(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,C,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,B))) & A = F & k2_partfun1(C,B,F,D) = E ) ) ) )).
fof(fraenkel_a_4_0_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_zfmisc_1(B) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_petri_3(C,B) & m1_petri_3(D,B,C) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_0_petri_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k1_petri_3(B,C,F) & F != E & ? [G] : ( m1_subset_1(G,u4_struct_0(k1_petri_3(B,C,E))) & ? [H] : r2_hidden(k4_tarski(G,H),k1_funct_1(D,k1_domain_1(B,B,E,F))) ) ) ) ) )).
fof(fraenkel_a_4_0_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m2_pnproc_1(C,B) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(E,k1_zfmisc_1(k3_finseq_2(C))) ) => ( r2_hidden(A,a_4_0_pnproc_1(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_finseq_2(F,C,k3_finseq_2(C)) & m2_finseq_2(G,C,k3_finseq_2(C)) & A = k1_pre_poly(C,F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_0_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v2_struct_0(C) & l2_struct_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_hidden(A,a_4_0_polyred(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,E,F) & r2_tarski(F,k3_polynom1(k15_pre_poly(B),C,D)) ) ) ) )).
fof(fraenkel_a_4_0_poset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v1_orders_2(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_poset_1(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & v6_orders_2(D,k6_poset_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_poset_1(B,C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_poset_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(C)) & v2_poset_1(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & r2_tarski(G,D) & F = k3_funct_2(u1_struct_0(B),u1_struct_0(C),G,E) ) ) ) ) )).
fof(fraenkel_a_4_0_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & m1_pralg_2(D,B,C) & m1_subset_1(E,u4_struct_0(C)) ) => ( r2_hidden(A,a_4_0_pralg_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k4_msualg_1(C,E,k5_pralg_2(B,C,D,F)) ) ) ) )).
fof(fraenkel_a_4_0_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v2_finsub_1(C) & v1_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_subset_1(E,k1_zfmisc_1(B),C) ) => ( r2_hidden(A,a_4_0_prob_3(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(B),D) & A = F & r2_tarski(k7_subset_1(B,E,F),D) & r2_tarski(k7_subset_1(B,F,E),D) & r2_tarski(k9_subset_1(B,F,E),D) ) ) ) )).
fof(fraenkel_a_4_0_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_eqrel_1(D,B) & m1_eqrel_1(E,C) ) => ( r2_hidden(A,a_4_0_pua2mss1(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k1_zfmisc_1(B),D) & m2_subset_1(G,k1_zfmisc_1(C),E) & A = k8_mcart_1(B,C,F,G) ) ) ) )).
fof(fraenkel_a_4_0_qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m1_qc_lang1(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_qc_lang1(C))) & v3_card_1(E,B) & m2_finseq_1(E,k2_qc_lang1(C)) ) => ( r2_hidden(A,a_4_0_qc_lang3(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_funct_1(E,F) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) & r2_tarski(k1_funct_1(E,F),D) ) ) ) )).
fof(fraenkel_a_4_0_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_subset_1(D,k9_qc_lang1(B)) & m1_subset_1(E,k9_qc_lang1(B)) ) => ( r2_hidden(A,a_4_0_qc_lang4(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_trees_1(F,k9_xtuple_0(k2_qc_lang4(B,C))) & m1_trees_1(G,k9_xtuple_0(k2_qc_lang4(B,D))) & A = k8_finseq_1(k4_ordinal1,F,G) & r2_tarski(F,k3_qc_lang4(B,C,D)) & r2_tarski(G,k3_qc_lang4(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_0_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_quantal1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k6_algstr_0(B,F,E) & r2_tarski(F,k7_domain_1(u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_4_0_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k3_group_10(B,2),k2_finseq_1(2)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(B,2),k2_finseq_1(2)))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_4_0_ramsey_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = F & k1_funct_1(C,k2_tarski(E,F)) = 2 & r2_tarski(k2_tarski(E,F),k1_relset_1(k3_group_10(B,2),C)) ) ) ) )).
fof(fraenkel_a_4_0_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_xreal_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_random_1(E,B,D) ) => ( r2_hidden(A,a_4_0_random_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_xxreal_0(C,k3_funct_2(B,k1_numbers,E,F)) ) ) ) )).
fof(fraenkel_a_4_0_random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_xreal_0(D) & m1_random_1(E,B,C) ) => ( r2_hidden(A,a_4_0_random_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_xxreal_0(k2_power(D,2),k12_supinf_2(E,F)) ) ) ) )).
fof(fraenkel_a_4_0_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(C)))) ) => ( r2_hidden(A,a_4_0_random_3(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(C),k4_measure1(C,k9_setfam_1(C),E)) & A = k8_relset_1(B,C,D,F) ) ) ) )).
fof(fraenkel_a_4_0_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & l1_vectsp_1(C,B) & ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & v13_vectsp_1(E,C,D) & v1_mod_2(E,B,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( r2_hidden(A,a_4_0_ranknull(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,F) = k4_struct_0(D) ) ) ) )).
fof(fraenkel_a_4_0_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_0_relset_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k6_eqrel_1(B,C,E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v2_convex1(D,B) & m2_rlvect_2(D,B,C) & v2_convex1(E,B) & m2_rlvect_2(E,B,C) ) => ( r2_hidden(A,a_4_0_rlaffin2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_numbers) & A = F & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ( ( H = F & I = G ) => ( ~ r1_xxreal_0(k5_numbers,H) & k3_funct_2(u1_struct_0(B),k1_numbers,D,I) != k3_funct_2(u1_struct_0(B),k1_numbers,E,I) & k3_funct_2(u1_struct_0(B),k1_numbers,k7_rlvect_2(B,k8_rlvect_2(B,H,E),k8_rlvect_2(B,k6_xcmplx_0(1,H),D)),I) = k5_numbers ) ) ) ) & r2_tarski(G,k4_subset_1(u1_struct_0(B),k3_rlvect_2(B,D),k3_rlvect_2(B,E))) ) ) ) ) )).
fof(fraenkel_a_4_0_rlsub_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_xreal_0(D) & m1_rlsub_1(E,B) ) => ( r2_hidden(A,a_4_0_rlsub_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,D),F) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_0_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) & m1_rlsub_1(E,B) ) => ( r2_hidden(A,a_4_0_rlsub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(k1_rlsub_2(B,C,D),G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_0_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_0_rltopsp1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,C,F) & r2_tarski(F,k5_rusub_4(B,E,D)) ) ) ) )).
fof(fraenkel_a_4_0_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_0_rmod_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r2_tarski(G,D) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) ) => ( r2_hidden(A,a_4_0_rmod_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(D,G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_0_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_subset_1(D,u1_struct_0(B)) & m1_rmod_4(E,B,C) ) => ( r2_hidden(A,a_4_0_rmod_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & k3_funct_2(u1_struct_0(C),u1_struct_0(B),k7_rmod_4(B,C,D,E),F) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_4_0_rusub_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_rusub_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,k1_rlvect_1(B,D,E),F) & r1_struct_0(C,F) ) ) ) )).
fof(fraenkel_a_4_0_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) & m1_rusub_1(E,B) ) => ( r2_hidden(A,a_4_0_rusub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,F,G) & r1_struct_0(k1_rusub_2(B,C,D),F) & r1_struct_0(E,G) ) ) ) )).
fof(fraenkel_a_4_0_rusub_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & v2_rusub_4(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_rusub_5(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,F,G) & r2_tarski(F,C) & r2_tarski(G,k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,E,D))) ) ) ) )).
fof(fraenkel_a_4_0_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_scmpds_4(B) & v1_int_1(C) & v1_int_1(D) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ( r2_hidden(A,a_4_0_scmpds_4(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(F,k4_card_1(B)) & r2_tarski(F,k2_afinsq_1(k9_compos_1(k1_scmpds_2,k7_scmpds_2(E,C,D)))) ) ) ) )).
fof(fraenkel_a_4_0_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m2_finseq_2(D,k2_numbers,k12_seq_4(B)) & m1_subset_1(E,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_4_0_seq_4(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,k2_numbers,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,k13_seq_4(B,C,D),F)),k1_numbers) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_sgraph1(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,u1_struct_0(C)) ) => ( r2_hidden(A,a_4_0_sgraph1(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,u1_struct_0(C),k3_finseq_2(u1_struct_0(C))) & A = F & r3_sgraph1(B,C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_0_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & v6_simplex0(C,u1_struct_0(B)) & v1_simplex1(C,B) & v2_simplex1(C,B) & m1_simplex0(C,u1_struct_0(B)) & v1_finset_1(D) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & v3_pre_topc(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_0_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,k4_simplex1(B,C),k4_card_1(D)) & A = F & r1_tarski(k7_relset_1(k1_orders_1(u1_struct_0(B)),u1_struct_0(B),k2_rlaffin2(B),D),F) & r1_tarski(k3_convex1(B,k1_simplex1(B,k4_simplex1(B,C),F)),k3_convex1(B,k1_simplex1(B,C,E))) ) ) ) )).
fof(fraenkel_a_4_0_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_rlaffin3(E,k15_euclid(B),D) ) => ( r2_hidden(A,a_4_0_simplex2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k3_convex1(k15_euclid(B),k7_subset_1(u1_struct_0(k15_euclid(B)),D,k1_tarski(k1_funct_1(E,F)))) & r2_tarski(F,k7_subset_1(k4_ordinal1,k4_finseq_1(E),C)) ) ) ) )).
fof(fraenkel_a_4_0_sppol_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_4_0_sppol_1(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = F & r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,1) & r2_tarski(k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(B),D,F)),E) ) ) ) )).
fof(fraenkel_a_4_0_sppol_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_sppol_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ ( k17_euclid(F) = B & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = E ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = D ) & ~ ( k17_euclid(F) = C & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_sprect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_sprect_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ ( k17_euclid(F) = B & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = E ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = D ) & ~ ( k17_euclid(F) = C & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_0_srings_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k2_zfmisc_1(D,E)) & A = F ) ) ) )).
fof(fraenkel_a_4_0_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_0_srings_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,D) & m1_subset_1(G,E) & A = k2_zfmisc_1(F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_0_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_card_1(k5_card_1(B)),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(k5_card_1(B)),k5_card_1(B)))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_0_stirl2_1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = F & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & G = F & v2_funct_2(G,k5_card_1(B)) & v1_stirl2_1(G,k1_nat_1(C,1),B) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(B),G,k1_seq_4(k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,G,C))) != k1_seq_4(C) ) & k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,F,C) = k2_stirl2_1(k4_card_1(k5_card_1(B)),B,D,E) ) ) ) )).
fof(fraenkel_a_4_0_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k2_qc_lang1(B),k3_qc_lang1(B)) & m2_subset_1(D,k16_substut1(B),k38_substut1(B)) & m1_substut1(E,B,k7_sublemma(B,D,C)) ) => ( r2_hidden(A,a_4_0_sublemma(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_qc_lang1(B)) & A = F & r2_tarski(k2_qc_lang3(B,F),k9_substut1(B,k22_qc_lang1(B,k2_sublemma(B,k9_sublemma(B,k7_sublemma(B,D,C),E))))) ) ) ) )).
fof(fraenkel_a_4_0_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_4_0_substlat(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k4_partfun1(B,C)) & m1_subset_1(G,k4_partfun1(B,C)) & A = k2_xboole_0(F,G) & r2_tarski(F,D) & r2_tarski(G,E) & r1_partfun1(F,G) ) ) ) )).
fof(fraenkel_a_4_0_substut1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k2_qc_lang1(B),k3_qc_lang1(B)) & m1_subset_1(D,k9_qc_lang1(B)) & m1_subset_1(E,k1_substut1(B)) ) => ( r2_hidden(A,a_4_0_substut1(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) & A = F & r2_tarski(F,k24_qc_lang1(B,D)) & m1_subset_1(F,k9_xtuple_0(E)) & F != C & F != k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_0_substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & m1_subset_1(E,k1_substut1(B)) ) => ( r2_hidden(A,a_4_0_substut2(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) & A = F & r2_tarski(F,k24_qc_lang1(B,k11_cqc_lang(B,D,C))) & m1_subset_1(F,k9_xtuple_0(E)) & F != D & F != k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_0_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_termord(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,F,G) & r2_tarski(F,k3_polynom1(k15_pre_poly(B),C,D)) & r2_tarski(G,k3_polynom1(k15_pre_poly(B),C,E)) ) ) ) )).
fof(fraenkel_a_4_0_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v4_taxonom2(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_0_topalg_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = k9_subset_1(u1_struct_0(B),F,D) & r2_tarski(F,C) & ~ r2_hidden(E,F) ) ) ) )).
fof(fraenkel_a_4_0_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & m1_subset_1(E,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_4_0_topalg_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = F & k22_rvsum_1(k5_algstr_0(k15_euclid(B),E,D),k5_algstr_0(k15_euclid(B),F,C)) = k5_numbers ) ) ) )).
fof(fraenkel_a_4_0_topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_4_0_topdim_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k1_pre_topc(D,E))) & A = k6_domain_1(u1_struct_0(k1_pre_topc(D,E)),F) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_0_topreala,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_topreala(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) ) ) )).
fof(fraenkel_a_4_0_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k2_topmetr(k5_numbers,1))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_treal_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k2_topmetr(k5_numbers,1))) & A = F & ~ r1_xxreal_0(k3_xxreal_0(E,k3_xcmplx_0(k6_xcmplx_0(C,B),k5_xcmplx_0(2))),k3_metric_1(k2_topmetr(k5_numbers,1),D,F)) ) ) ) )).
fof(fraenkel_a_4_0_uniform1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_0_uniform1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & A = F & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( v1_xreal_0(H) & F = k8_metric_1(B,G,H) & ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => ~ ( J = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,G) & K = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,I) & ~ r1_xxreal_0(H,k3_metric_1(B,G,I)) & r1_xxreal_0(k7_xcmplx_0(E,2),k3_metric_1(C,J,K)) ) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_4_0_uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(D,B) & v1_uproots(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(E,B) & v1_uproots(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_0_uproots(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),k12_polynom3(B,D,E),k12_polynom3(B,k3_polynom5(B,k5_polynom5(B,k4_algstr_0(B,C),k5_struct_0(B)),F),G)) ) ) ) ) )).
fof(fraenkel_a_4_0_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) ) => ( r2_hidden(A,a_4_0_valued_1(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k2_xcmplx_0(F,B) & r2_tarski(F,k9_xtuple_0(k6_funct_4(E,C,D))) ) ) ) )).
fof(fraenkel_a_4_0_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_0_vectsp_4(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_0_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) ) => ( r2_hidden(A,a_4_0_vectsp_5(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(D,G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_0_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & m1_vectsp_6(E,B,C) ) => ( r2_hidden(A,a_4_0_vectsp_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & k3_funct_2(u1_struct_0(C),u1_struct_0(B),k6_vectsp_6(B,C,D,E),F) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_4_0_vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ( r2_hidden(A,a_4_0_vectsp_7(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = F & r2_hidden(E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_0_vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & v2_vectsp_7(D,B,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m2_finseq_1(E,u1_struct_0(C)) ) => ( r2_hidden(A,a_4_0_vectsp_9(B,C,D,E)) <=> ? [F] : ( m2_vectsp_6(F,B,C,D) & A = k1_vectsp_6(B,C,F) & ? [G] : ( v7_ordinal1(G) & r2_tarski(G,k4_finseq_1(E)) & k4_vectsp_6(B,C,F) = k1_funct_1(E,G) ) ) ) ) )).
fof(fraenkel_a_4_0_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_0_vsdiff_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_rlvect_1(C,D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_yellow_1(C) & v4_waybel_3(C) & v5_waybel_3(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_0_waybel13(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k3_waybel_3(B,C,E))) & A = F & r1_orders_2(k3_waybel_3(B,C,E),F,k4_waybel_3(B,C,D,E)) & v1_waybel_3(F,k3_waybel_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_0_waybel15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v24_waybel_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_waybel15(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & r1_waybel_3(C,F,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E)) ) ) ) )).
fof(fraenkel_a_4_0_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_0_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v25_waybel_0(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & v2_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,E,k3_yellow_9(B,D)))) & A = k2_yellow_0(C,a_5_0_waybel21(B,C,D,E,F)) ) ) ) )).
fof(fraenkel_a_4_0_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v3_lattice3(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k1_waybel22(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(B))))) ) => ( r2_hidden(A,a_4_0_waybel22(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & A = k2_yellow_0(C,a_4_1_waybel22(B,C,D,F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_yellow_0(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r3_orders_2(B,F,E) ) ) ) )).
fof(fraenkel_a_4_0_waybel25,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v6_pre_topc(C) & v1_waybel25(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,k3_waybel24(B,k1_waybel25(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_0_waybel25(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & ? [G] : ( m1_subset_1(G,u1_struct_0(D)) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(B),u1_struct_0(k1_waybel25(C))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k1_waybel25(C))))) & H = k2_waybel_0(k3_waybel24(B,k1_waybel25(C)),D,G) & F = k8_relset_1(u1_struct_0(B),u1_struct_0(k1_waybel25(C)),H,E) ) ) ) ) ) )).
fof(fraenkel_a_4_0_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) & m1_subset_1(E,u1_struct_0(D)) ) => ( r2_hidden(A,a_4_0_waybel28(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k2_waybel_0(B,D,F) & r1_orders_2(D,E,F) ) ) ) )).
fof(fraenkel_a_4_0_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,B) & v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_0_waybel31(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k4_waybel_0(C,F) & r2_tarski(F,D) & r1_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_0_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel33(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & v6_waybel_0(D,B) & m2_yellow_6(D,B,C) & m1_subset_1(E,u1_struct_0(D)) ) => ( r2_hidden(A,a_4_0_waybel33(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = F & r1_orders_2(D,E,F) ) ) ) )).
fof(fraenkel_a_4_0_waybel35,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & v1_waybel35(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v3_waybel35(D,B,C) & m1_waybel35(D,B,C) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_waybel35(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r2_tarski(F,k6_waybel35(B,C,D)) & r2_tarski(k1_domain_1(u1_struct_0(B),u1_struct_0(B),F,E),C) ) ) ) )).
fof(fraenkel_a_4_0_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_waybel_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k12_lattice3(B,C,F) & r2_tarski(F,k7_domain_1(u1_struct_0(B),D,E)) ) ) ) )).
fof(fraenkel_a_4_0_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,D),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_0_waybel_5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & ? [G] : ( v1_relat_1(G) & v2_relat_1(G) & v4_relat_1(G,C) & v1_funct_1(G) & v1_partfun1(G,C) & r2_tarski(G,k1_funct_2(C,k5_finsub_1(D))) & ? [H] : ( m2_pboole(H,C,G,k7_funcop_1(C,u1_struct_0(B))) & ! [I] : ( m1_subset_1(I,C) => ! [J] : ( r2_hidden(J,k1_funct_1(G,I)) => k1_funct_1(k1_waybel_5(C,u1_struct_0(B),G,H,I),J) = k1_binop_1(E,I,J) ) ) & F = k5_yellow_2(B,k4_waybel_5(B,H)) ) ) ) ) ) )).
fof(fraenkel_a_4_0_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,D,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,D))) ) => ( r2_hidden(A,a_4_0_waybel_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k6_waybel_0(B,F) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & F = k1_funct_1(k1_abian(D,E,G),C) ) ) ) ) )).
fof(fraenkel_a_4_0_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v5_orders_2(C) & v2_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_4_0_yellow10(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(k3_yellow_3(B,C))) & m1_subset_1(G,u1_struct_0(k3_yellow_3(B,C))) & A = k12_lattice3(k3_yellow_3(B,C),F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_0_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v8_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_yellow12(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) != k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,F) ) ) ) )).
fof(fraenkel_a_4_0_yellow17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_waybel_3(C) & v1_waybel18(C) & m1_subset_1(D,B) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(B,C,D))))) ) => ( r2_hidden(A,a_4_0_yellow17(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(B,C,D))),E) & A = k8_relset_1(u1_struct_0(k3_waybel18(B,C)),u1_struct_0(k4_waybel18(B,C,D)),k6_waybel18(B,C,D),F) ) ) ) )).
fof(fraenkel_a_4_0_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_yellow_0(B,D)))) ) => ( r2_hidden(A,a_4_0_yellow_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r2_lattice3(B,E,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,F)) & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,F),F) ) ) ) )).
fof(fraenkel_a_4_0_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_0_yellow_4(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k10_lattice3(B,F,G) & r2_tarski(F,k6_domain_1(u1_struct_0(B),C)) & r2_tarski(G,k7_domain_1(u1_struct_0(B),D,E)) ) ) ) )).
fof(fraenkel_a_4_0_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,B) & v1_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_tops_2(E,C) & v1_cantor_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_0_yellow_9(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_0_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_0_zf_fund1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,B) & m1_subset_1(G,B) & A = k2_xboole_0(k1_tarski(k1_domain_1(k4_ordinal1,B,E,F)),G) & r2_tarski(F,C) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_4_0_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_zmodul01(D,B) & m1_zmodul01(E,B) ) => ( r2_hidden(A,a_4_0_zmodul01(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(k6_zmodul01(B,C,D),G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_0_zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_int_2(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & v1_zmodul03(C) & l1_zmodul01(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_zmodul02(B,C)))) & m2_vectsp_6(E,k9_int_3(B),k12_zmodul02(B,C),D) ) => ( r2_hidden(A,a_4_0_zmodul03(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k12_zmodul02(B,C))) & A = F & k3_funct_2(u1_struct_0(k12_zmodul02(B,C)),u1_struct_0(k9_int_3(B)),E,F) != k4_struct_0(k9_int_3(B)) ) ) ) )).
fof(fraenkel_a_4_10_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_10_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k6_subset_1(B,D),k7_relset_1(B,C,E,k6_subset_1(B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(B,D),k7_relset_1(B,C,E,k6_subset_1(B,D))))) & A = F & v2_funct_1(F) & k10_xtuple_0(k5_relat_1(F,k6_subset_1(B,D))) = k7_relset_1(B,C,E,k6_subset_1(B,D)) ) ) ) )).
fof(fraenkel_a_4_10_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(k11_conlat_1(C))) ) => ( r2_hidden(A,a_4_10_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,F) & r2_tarski(F,u2_conlat_1(C,k12_conlat_1(C,E))) ) ) ) )).
fof(fraenkel_a_4_10_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v8_group_9(D,B,C) & m2_finseq_1(D,k6_group_9(B,C)) & v8_group_9(E,B,C) & m2_finseq_1(E,k6_group_9(B,C)) ) => ( r2_hidden(A,a_4_10_group_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k4_tarski(F,k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(F,1),k6_xcmplx_0(k3_finseq_1(E),1)),1)) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(D)) ) ) ) )).
fof(fraenkel_a_4_10_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,u1_struct_0(k5_substlat(B,C))) & m1_subset_1(E,k4_partfun1(B,C)) ) => ( r2_hidden(A,a_4_10_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(B,C)) & A = k2_xboole_0(F,E) & ~ r1_partfun1(F,E) & r2_tarski(F,D) & r1_partfun1(F,E) ) ) ) )).
fof(fraenkel_a_4_10_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_cantor_1(E,D) & v1_tops_2(E,D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) ) => ( r2_hidden(A,a_4_10_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) & A = k7_relset_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(B),k9_funct_3(u1_struct_0(B),u1_struct_0(C)),F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_10_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & ~ v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_10_srings_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,E) & m1_subset_1(G,k1_tarski(D)) & A = k2_zfmisc_1(F,G) ) ) ) )).
fof(fraenkel_a_4_10_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & v24_waybel_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_10_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_10_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C)))) & ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_10_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_funct_1(F,k1_yellow_0(B,E)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_11_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_11_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,k2_relset_1(C,D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k2_relset_1(C,D)))) & A = F & v2_funct_1(F) & k1_funct_1(F,E) = k1_funct_1(D,E) ) ) ) )).
fof(fraenkel_a_4_11_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(k11_conlat_1(C))) ) => ( r2_hidden(A,a_4_11_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u4_struct_0(C)) & A = F & r3_lattices(B,k16_lattice3(B,a_4_9_conlat_2(B,C,D,E)),k3_funct_2(u4_struct_0(C),u1_struct_0(B),D,F)) ) ) ) )).
fof(fraenkel_a_4_11_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_11_dickson(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,u1_struct_0(B),E) & A = F & ? [G] : ( m2_subset_1(G,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & G = F & ~ v1_finset_1(a_4_12_dickson(B,C,D,G)) ) ) ) ) )).
fof(fraenkel_a_4_11_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v7_ordinal1(C) & v1_int_2(C) & v8_struct_0(D) & m1_group_2(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(D),k1_funct_2(k15_group_10(B,C),k15_group_10(B,C))) & v1_group_10(E,D,k15_group_10(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),k1_funct_2(k15_group_10(B,C),k15_group_10(B,C))))) ) => ( r2_hidden(A,a_4_11_group_10(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_group_3(B),k15_group_10(B,C)) & A = F & r1_group_10(D,k15_group_10(B,C),E,F) ) ) ) )).
fof(fraenkel_a_4_11_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v8_group_9(D,B,C) & m2_finseq_1(D,k6_group_9(B,C)) & v8_group_9(E,B,C) & m2_finseq_1(E,k6_group_9(B,C)) ) => ( r2_hidden(A,a_4_11_group_9(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & A = k4_tarski(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(G,1),k6_xcmplx_0(k3_finseq_1(D),1)),F),k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(F,1),k6_xcmplx_0(k3_finseq_1(E),1)),G)) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) & r1_xxreal_0(1,G) & r1_xxreal_0(G,k6_xcmplx_0(k3_finseq_1(E),1)) ) ) ) )).
fof(fraenkel_a_4_11_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m2_subset_1(D,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & m2_subset_1(E,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) ) => ( r2_hidden(A,a_4_11_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(D,E)) & A = k3_tarski(a_5_5_heyting2(B,C,D,E,F)) & k9_xtuple_0(F) = D ) ) ) )).
fof(fraenkel_a_4_11_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_cantor_1(E,D) & v1_tops_2(E,D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) ) => ( r2_hidden(A,a_4_11_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) & A = k7_relset_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(C),k10_funct_3(u1_struct_0(B),u1_struct_0(C)),F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_11_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v24_waybel_0(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_11_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_11_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_yellow_1(u1_struct_0(B),C)))) ) => ( r2_hidden(A,a_4_11_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_yellow_0(C,a_4_7_waybel24(B,C,D,F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_12_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_lattice4(E,B,k11_conlat_1(C)) ) => ( r2_hidden(A,a_4_12_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(k11_conlat_1(C)),E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_12_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m2_subset_1(E,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_4_12_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,E,k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,k5_numbers)) ) ) ) )).
fof(fraenkel_a_4_12_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,u1_struct_0(k5_substlat(B,C))) & m1_subset_1(E,k4_partfun1(B,C)) ) => ( r2_hidden(A,a_4_12_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(B,C)) & A = F & r2_hidden(F,D) & v1_finset_1(F) & ~ r1_partfun1(F,E) ) ) ) )).
fof(fraenkel_a_4_12_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_12_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k8_metric_1(D,F,k7_xcmplx_0(1,k11_newton(2,E))) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_12_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_msafree4(E,u1_struct_0(B),C,k1_msafree4(u1_struct_0(B),C,D)) ) => ( r2_hidden(A,a_4_12_msafree5(B,C,D,E)) <=> ? [F] : ( m1_trees_1(F,k9_xtuple_0(k6_msafree5(B,C,D,E))) & A = F & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( m1_msafree4(H,u1_struct_0(B),C,k1_msafree4(u1_struct_0(B),C,G)) & k1_funct_1(k6_msafree5(B,C,D,E),F) = k1_domain_1(k1_msafree4(u1_struct_0(B),C,G),u1_struct_0(B),H,G) ) ) ) ) ) )).
fof(fraenkel_a_4_12_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_12_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(D,F) & r3_orders_2(B,F,E) & v1_waybel_3(F,B) ) ) ) )).
fof(fraenkel_a_4_12_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_yellow_1(u1_struct_0(B),C)))) ) => ( r2_hidden(A,a_4_12_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_funct_1(F,k1_yellow_0(B,D)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_13_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_13_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(u1_struct_0(B),C,F) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))) ) ) ) )).
fof(fraenkel_a_4_13_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_4_13_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k3_mmlquery(B,D,k1_mmlquery(B,C,F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_13_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,C))),k3_msualg_1(B,D,k1_msafree3(B,C))) ) => ( r2_hidden(A,a_4_13_msafree5(B,C,D,E)) <=> ? [F] : ( m1_trees_1(F,k9_xtuple_0(k7_msafree5(B,C,D,E))) & A = F & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( m1_msafree4(H,u1_struct_0(B),C,k1_msafree4(u1_struct_0(B),C,G)) & k1_funct_1(k7_msafree5(B,C,D,E),F) = k1_domain_1(k1_msafree4(u1_struct_0(B),C,G),u1_struct_0(B),H,G) ) ) ) ) ) )).
fof(fraenkel_a_4_13_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_13_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(D,F) & r3_orders_2(B,F,E) & v1_waybel_3(F,B) ) ) ) )).
fof(fraenkel_a_4_13_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_yellow_0(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_13_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(D,F) & r3_orders_2(B,F,E) ) ) ) )).
fof(fraenkel_a_4_14_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_14_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))) ) ) ) )).
fof(fraenkel_a_4_14_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m2_finseq_1(C,k9_setfam_1(B)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_14_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_xxreal_0(D,k24_mmlquery(C,F)) & r1_xxreal_0(k24_mmlquery(C,F),E) ) ) ) )).
fof(fraenkel_a_4_15_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_15_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_4_15_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_mmlquery(B) & l1_mmlquery(B) & m2_finseq_1(C,u1_mmlquery(B)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_15_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(B),k30_mmlquery(B,F),k2_relset_1(u1_mmlquery(B),C))),D) & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(B),k2_relset_1(u1_mmlquery(B),C),k30_mmlquery(B,F))),E) ) ) ) )).
fof(fraenkel_a_4_16_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_16_dickson(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,E)) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))),k8_nat_1(u1_struct_0(B),C,F)) ) ) ) )).
fof(fraenkel_a_4_16_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_4_16_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k1_mmlquery(B,E,F) & r2_tarski(F,k16_mmlquery(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_17_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_4_17_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k1_mmlquery(B,k15_mmlquery(k2_zfmisc_1(B,B),D,E),F) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_18_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_18_dickson(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & A = a_4_7_dickson(B,C,D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_18_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m2_finseq_1(C,k9_setfam_1(B)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_18_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_xxreal_0(E,k24_mmlquery(C,F)) & r1_xxreal_0(k24_mmlquery(C,F),D) ) ) ) )).
fof(fraenkel_a_4_19_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_19_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(u1_struct_0(B),C,F) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,E)),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_4_19_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(C) & v7_ordinal1(D) & m2_finseq_1(E,k9_setfam_1(B)) ) => ( r2_hidden(A,a_4_19_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_xxreal_0(C,k24_mmlquery(E,F)) & r1_xxreal_0(k24_mmlquery(E,F),D) ) ) ) )).
fof(fraenkel_a_4_1_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) ) => ( r2_hidden(A,a_4_1_abian(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,B,D) & A = F & ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & k1_funct_1(k1_abian(B,C,G),F) = k3_funct_2(B,B,k1_abian(B,C,H),E) & ~ v1_abian(G) & v1_abian(H) ) ) ) ) ) )).
fof(fraenkel_a_4_1_ali2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_ali2(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_xreal_0(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_ali2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r1_xxreal_0(k3_metric_1(B,F,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,F)),k3_xcmplx_0(k3_metric_1(B,o_1_0_ali2(B),k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,o_1_0_ali2(B))),k2_power(D,k1_nat_1(E,1)))) ) ) ) )).
fof(fraenkel_a_4_1_amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v3_extpro_1(C,B) & v2_amistd_5(C,B) & v3_amistd_5(C,B) & v4_amistd_5(C,B) & l1_extpro_1(C,B) & v7_ordinal1(D) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(C)) & v1_funct_1(E) & v1_finset_1(E) ) => ( r2_hidden(A,a_4_1_amistd_5(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k2_xcmplx_0(F,D) & r2_tarski(F,k9_xtuple_0(E)) ) ) ) )).
fof(fraenkel_a_4_1_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l2_struct_0(B) & ~ v2_struct_0(C) & l1_vectsp_1(C,B) & ~ v2_struct_0(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)),u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_1_bilinear(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = F & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k2_binop_1(u1_struct_0(C),u1_struct_0(D),u1_struct_0(B),E,G,F) = k4_struct_0(B) ) ) ) ) )).
fof(fraenkel_a_4_1_binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,C) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,B),C))) ) => ( r2_hidden(A,a_4_1_binom(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,B) & m2_funct_2(G,k4_ordinal1,C,k9_funct_2(k4_ordinal1,C)) & A = k4_tarski(F,G) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & r2_relset_1(k4_ordinal1,C,H,G) & k8_nat_1(C,H,k5_numbers) = D & ! [I] : ( v7_ordinal1(I) => k8_nat_1(C,H,k1_nat_1(I,1)) = k2_binop_1(C,B,C,E,k8_nat_1(C,H,I),F) ) ) ) ) ) )).
fof(fraenkel_a_4_1_borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & m1_pre_topc(D,B) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(D,C))))) ) => ( r2_hidden(A,a_4_1_borsuk_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,F,G) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(D))) & H = k9_subset_1(u1_struct_0(D),F,k2_struct_0(D)) & v3_pre_topc(F,B) & v3_pre_topc(G,C) & r2_tarski(k3_borsuk_1(D,C,H,G),E) ) ) ) ) )).
fof(fraenkel_a_4_1_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(C) & v2_pre_topc(C) & v1_connsp_1(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(B)))))) & v1_xreal_0(E) & ~ v1_rat_1(E) ) => ( r2_hidden(A,a_4_1_borsuk_7(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_numbers) & A = F & r2_tarski(F,k2_relset_1(u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(B))),D)) & ~ r1_xxreal_0(F,E) ) ) ) )).
fof(fraenkel_a_4_1_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(C) & v1_card_1(C) & m1_subset_1(D,C) & m1_subset_1(E,k2_tarski(k1_xboole_0,1)) ) => ( r2_hidden(A,a_4_1_card_fil(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & A = F & r2_tarski(F,B) & k1_funct_1(F,D) = E ) ) ) )).
fof(fraenkel_a_4_1_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_4_1_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(B,k1_tarski(D)),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),C))) & A = F & k1_funct_1(F,D) = E ) ) ) )).
fof(fraenkel_a_4_1_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_1_card_lar(B,C,D,E)) <=> ? [F] : ( m1_card_lar(F,B,C) & A = k1_card_lar(B,F,k3_funct_2(k4_ordinal1,B,D,E)) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_1_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_chain_1(C,B) & v7_ordinal1(D) & m1_subset_1(E,k1_zfmisc_1(k4_chain_1(B,C,k1_nat_1(D,1)))) ) => ( r2_hidden(A,a_4_1_chain_1(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,D)) & A = F & r1_xxreal_0(k1_nat_1(D,1),B) & ~ v1_abian(k4_card_1(k9_subset_1(k4_chain_1(B,C,k1_nat_1(D,1)),k9_chain_1(B,C,D,F),E))) ) ) ) )).
fof(fraenkel_a_4_1_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m2_rlvect_2(E,B,k7_domain_1(u1_struct_0(B),C,D)) ) => ( r2_hidden(A,a_4_1_circled1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & k3_funct_2(u1_struct_0(B),k1_numbers,E,F) != k5_numbers ) ) ) )).
fof(fraenkel_a_4_1_circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & v5_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_circuit1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(B,k5_msafree2(B,C)),k7_partfun1(u1_struct_0(B),k1_msualg_1(B,k4_msafree2(B,D)),k1_nat_1(E,1)))) & A = k4_card_1(F) ) ) ) )).
fof(fraenkel_a_4_1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_1_closure1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & r1_tarski(k1_funct_1(C,D),F) ) ) ) )).
fof(fraenkel_a_4_1_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_incsp_1(B) & l1_incsp_1(C) & l1_combgras(D,B,C) & m1_subset_1(E,k1_zfmisc_1(u1_incsp_1(C))) ) => ( r2_hidden(A,a_4_1_combgras(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_incsp_1(B)) & A = F & ? [G] : ( m1_subset_1(G,u1_incsp_1(C)) & r2_tarski(G,E) & k2_combgras(B,C,D,F) = G ) ) ) ) )).
fof(fraenkel_a_4_1_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_finset_1(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(B,C,D))))) ) => ( r2_hidden(A,a_4_1_compl_sp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k3_pcomps_1(k3_compl_sp(B,C,D)))) & A = k6_domain_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(B,C,D))),F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_1_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,B) & v4_compos_1(C,B) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,B) & v4_compos_1(D,B) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,B) & v4_compos_1(E,B) ) => ( r2_hidden(A,a_4_1_compos_1(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(F,k7_nat_d(k4_card_1(C),1)) & r2_tarski(F,k2_afinsq_1(k5_compos_1(B,k8_compos_1(B,D,E),k7_nat_d(k4_card_1(C),1)))) ) ) ) )).
fof(fraenkel_a_4_1_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & m1_lattice4(D,k11_conlat_1(C),B) & m1_subset_1(E,k1_zfmisc_1(k2_relset_1(u1_struct_0(k11_conlat_1(C)),k5_conlat_2(C)))) ) => ( r2_hidden(A,a_4_1_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k11_conlat_1(C))) & A = k3_funct_2(u1_struct_0(k11_conlat_1(C)),u1_struct_0(B),D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_1_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_1_convex1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k1_algstr_0(B,F,G) & r2_tarski(F,C) & r2_tarski(G,k6_rusub_4(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_1_dilworth,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & v4_dilworth(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v5_dilworth(D,k5_yellow_0(B,C)) & m1_eqrel_1(D,u1_struct_0(k5_yellow_0(B,C))) & ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_1_dilworth(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = k9_subset_1(u1_struct_0(B),F,E) & ~ r1_xboole_0(F,E) ) ) ) )).
fof(fraenkel_a_4_1_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_1_domain_1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,B) & m1_subset_1(G,C) & A = k1_domain_1(B,C,F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_1_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) & m1_subset_1(E,u1_struct_0(k9_int_3(B))) ) => ( r2_hidden(A,a_4_1_ec_pf_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(B))) & A = k6_eqrel_1(k6_ec_pf_1(B,C,D),k6_ec_pf_1(B,C,D),k8_ec_pf_1(B,C,D),k4_domain_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),k4_ordinal1,E,F,1)) & r2_tarski(k4_domain_1(u1_struct_0(k9_int_3(B)),u1_struct_0(k9_int_3(B)),k4_ordinal1,E,F,1),k6_ec_pf_1(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_1_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & m1_subset_1(E,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_4_1_euclid_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = F & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & ~ ( r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(k5_numbers,H) & r1_xxreal_0(k5_numbers,I) ) & k2_xcmplx_0(k2_xcmplx_0(G,H),I) = 1 & F = k3_rlvect_1(k15_euclid(B),k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,G),k1_rlvect_1(k15_euclid(B),D,H)),k1_rlvect_1(k15_euclid(B),E,I)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_1_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & m1_subset_1(E,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_4_1_euclid_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = k12_euclid(k5_algstr_0(k15_euclid(B),E,F)) & r2_tarski(F,k5_rltopsp1(k15_euclid(B),C,D)) ) ) ) )).
fof(fraenkel_a_4_1_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k1_euclid(B)) & m2_finseq_2(D,k1_numbers,k1_euclid(B)) & m2_finseq_2(E,k1_numbers,k1_euclid(B)) ) => ( r2_hidden(A,a_4_1_euclidlp(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(B)) & A = F & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & k2_xcmplx_0(k2_xcmplx_0(G,H),I) = 1 & F = k7_euclid(B,k7_euclid(B,k9_euclid(B,C,G),k9_euclid(B,D,H)),k9_euclid(B,E,I)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_1_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_fcont_1(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = F & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,C,B),D),k7_xcmplx_0(E,2)),F) & r1_xxreal_0(F,k2_xcmplx_0(k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,C,B),D),k7_xcmplx_0(E,2))) ) ) ) )).
fof(fraenkel_a_4_1_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_finance1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_xxreal_0(D,k3_funct_2(B,k1_numbers,C,F)) & ~ r1_xxreal_0(E,k3_funct_2(B,k1_numbers,C,F)) ) ) ) )).
fof(fraenkel_a_4_1_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v7_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) & v3_card_1(D,k1_int_2(k19_fomodel1(B,C))) & m2_subset_1(D,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & v3_card_1(E,k1_int_2(k19_fomodel1(B,C))) & m2_subset_1(E,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) ) => ( r2_hidden(A,a_4_1_fomodel4(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(k1_int_2(k19_fomodel1(B,C)))) & v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))))) & v1_funct_1(H) & v1_funct_2(H,k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))))) & A = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),G,F)),k3_funct_2(k2_finseq_1(k1_int_2(k19_fomodel1(B,C))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),H,F)) & G = D & H = E ) ) ) )).
fof(fraenkel_a_4_1_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & ~ v2_struct_0(D) & l2_fsm_3(D,B,C) & v3_fsm_3(E,B,k9_flang_1(B)) & l2_fsm_3(E,B,k9_flang_1(B)) ) => ( r2_hidden(A,a_4_1_fsm_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(E)) & A = F & ~ r1_xboole_0(F,u2_fsm_3(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_1_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_goboard2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k17_euclid(F) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)),k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E))) ) ) ) )).
fof(fraenkel_a_4_1_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_1_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k17_euclid(F) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(E),k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D))) ) ) ) )).
fof(fraenkel_a_4_1_goboard6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(k14_euclid(2))) ) => ( r2_hidden(A,a_4_1_goboard6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(2))) & A = F & ~ r1_xxreal_0(k3_xxreal_0(k6_xcmplx_0(D,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B))),k6_xcmplx_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,k1_nat_1(B,1))),D)),k3_metric_1(k14_euclid(2),E,F)) ) ) ) )).
fof(fraenkel_a_4_1_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) & m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_goedelcp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_qc_lang1(B)) & A = F & ~ r2_tarski(k2_qc_lang3(B,F),k2_xboole_0(k6_goedelcp(B,k6_domain_1(k3_cqc_lang(B),D)),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),C,E)))) ) ) ) )).
fof(fraenkel_a_4_1_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_graph_1(C,B) & v7_ordinal1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_1_graph_2(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) | ( r1_xxreal_0(D,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_1_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_graph_4(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,D) ) | ( r1_xxreal_0(k1_nat_1(E,1),F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_1_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_4_1_groeb_1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom7(F,B,D) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = F & r2_tarski(F,k7_ideal_1(k12_polynom1(B,D),E)) & ~ r10_polyred(B,C,D,F,E) ) ) ) )).
fof(fraenkel_a_4_1_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,C)))) & m2_ideal_1(E,k12_polynom1(B,C),D) ) => ( r2_hidden(A,a_4_1_groeb_2(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(C)) & v3_polynom7(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & A = k3_polynom1(k15_pre_poly(B),C,k10_polynom1(B,C,F,G)) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & r2_tarski(H,k4_finseq_1(E)) & k7_partfun1(u1_struct_0(k12_polynom1(B,C)),E,H) = k10_polynom1(B,C,F,G) ) ) ) ) )).
fof(fraenkel_a_4_1_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom7(E,B,C) & v3_polynom7(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_1_groeb_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,F,G) & r2_tarski(F,k3_polynom1(k15_pre_poly(B),C,E)) & r2_tarski(G,k3_polynom1(k15_pre_poly(B),C,D)) ) ) ) )).
fof(fraenkel_a_4_1_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(C,C)) & v1_group_10(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(C,C)))) & m1_subset_1(E,C) ) => ( r2_hidden(A,a_4_1_group_10(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & r2_group_10(B,C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,B) & l1_group_9(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(E,C,D) & v7_group_9(E,B,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( r2_hidden(A,a_4_1_group_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,F) = k1_group_1(D) ) ) ) )).
fof(fraenkel_a_4_1_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m2_subset_1(D,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & m2_subset_1(E,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) ) => ( r2_hidden(A,a_4_1_heyting2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k4_partfun1(B,C)) & m1_subset_1(G,k4_partfun1(B,C)) & A = k2_xboole_0(F,G) & r2_tarski(F,D) & r2_tarski(G,E) & r1_partfun1(F,G) ) ) ) )).
fof(fraenkel_a_4_1_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_1_ideal_1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k1_algstr_0(B,F,G) & r2_tarski(F,k11_ideal_1(B,C,D)) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_1_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_jgraph_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) ) ) )).
fof(fraenkel_a_4_1_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_1_jordan(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(E,B,C,B,F) & r1_jordan5c(E,B,C,F,D) ) ) ) )).
fof(fraenkel_a_4_1_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_jordan1(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & ~ ( r1_xxreal_0(B,F) & r1_xxreal_0(F,D) & r1_xxreal_0(C,G) & r1_xxreal_0(G,E) ) ) ) ) )).
fof(fraenkel_a_4_1_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_jordan10(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),D,1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k7_nat_d(E,1))),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k1_nat_1(k7_nat_d(E,1),1)))) ) ) ) )).
fof(fraenkel_a_4_1_jordan16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_1_jordan16(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_1_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_1_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k7_nat_d(k3_xcmplx_0(2,C),2),1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k1_nat_1(k7_nat_d(k3_xcmplx_0(2,C),2),1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k7_nat_d(k3_xcmplx_0(2,D),2))),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k1_nat_1(k7_nat_d(k3_xcmplx_0(2,D),2),1)))) ) ) ) )).
fof(fraenkel_a_4_1_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) & m1_subset_1(E,k1_numbers) ) => ( r2_hidden(A,a_4_1_jordan20(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_numbers) & A = F & r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,E) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ~ ( G = k1_funct_1(D,F) & k17_euclid(G) = C ) ) ) ) ) )).
fof(fraenkel_a_4_1_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_jordan2b(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = F & ~ r1_xxreal_0(k7_partfun1(k1_numbers,F,C),k6_xcmplx_0(E,D)) & ~ r1_xxreal_0(k2_xcmplx_0(E,D),k7_partfun1(k1_numbers,F,C)) ) ) ) )).
fof(fraenkel_a_4_1_jordan2c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k14_euclid(B))) & m1_subset_1(D,u1_struct_0(k14_euclid(B))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_jordan2c(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = F & ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(E,k3_metric_1(k14_euclid(B),C,D)),1),k12_euclid(F)) ) ) ) )).
fof(fraenkel_a_4_1_jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_jordan5a(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = F & ~ r1_xxreal_0(F,k6_xcmplx_0(k1_funct_1(D,E),k3_xxreal_0(k6_xcmplx_0(k1_funct_1(D,E),B),k6_xcmplx_0(C,k1_funct_1(D,E))))) & ~ r1_xxreal_0(k2_xcmplx_0(k1_funct_1(D,E),k3_xxreal_0(k6_xcmplx_0(k1_funct_1(D,E),B),k6_xcmplx_0(C,k1_funct_1(D,E)))),F) ) ) ) )).
fof(fraenkel_a_4_1_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_1_jordan6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_1_jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & v2_compts_1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(k15_euclid(B),k15_euclid(B))),k1_numbers) & v1_pscomp_1(D,k2_borsuk_1(k15_euclid(B),k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(B),k15_euclid(B))),k1_numbers))) & m1_subset_1(E,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_4_1_jordan_a(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = k1_binop_1(D,F,E) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_1_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,D,D) & v3_funct_2(E,D,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,D))) ) => ( r2_hidden(A,a_4_1_laplace(B,C,D,E)) <=> ? [F] : ( m1_matrix_1(F,k9_matrix_1(B)) & A = F & k1_funct_1(F,C) = k1_funct_1(E,C) ) ) ) )).
fof(fraenkel_a_4_1_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,u1_struct_0(g1_orders_2(B,C))) ) => ( r2_hidden(A,a_4_1_lattice3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = E & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_1_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_lexbfs(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(C,D,F) & r1_xxreal_0(B,F) & r1_xxreal_0(F,k2_xcmplx_0(B,E)) ) ) ) )).
fof(fraenkel_a_4_1_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v2_xxreal_0(E) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_lpspace2(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = F & r2_tarski(F,k1_lpspace2(B,C,D,E)) & r1_lpspace1(B,C,D,F,k8_lpspace1(B,k5_numbers)) ) ) ) )).
fof(fraenkel_a_4_1_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_mathmorp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,F,E) & r2_tarski(F,k3_mathmorp(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_1_mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(E) & m2_finseq_1(E,C) ) => ( r2_hidden(A,a_4_1_mesfunc3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,B) => ( r2_tarski(G,k1_funct_1(E,F)) => k12_supinf_2(D,G) = k1_supinf_2 ) ) ) ) ) )).
fof(fraenkel_a_4_1_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & v1_cantor_1(D,C) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & v1_cantor_1(E,B) & v1_tops_2(E,B) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_1_metrizts(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,F,G) & r2_tarski(F,E) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_4_1_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_4_1_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_ordinal1(k1_card_1(k1_mmlquery(B,C,F)),k1_card_1(k1_mmlquery(B,E,F))) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_1_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(B))) & m1_subset_1(E,u1_struct_0(k48_modelc_1(B,C,D))) ) => ( r2_hidden(A,a_4_1_modelc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & k3_funct_2(B,k5_margrel1,k31_modelc_1(B,E),F) = k7_margrel1 ) ) ) )).
fof(fraenkel_a_4_1_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,k22_modelc_3(B),k22_modelc_3(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(B),k22_modelc_3(B)))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_modelc_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_xxreal_0(1,F) & r1_xxreal_0(F,E) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),C,F),D),B),B) ) ) ) )).
fof(fraenkel_a_4_1_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_msafree4(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) & m1_subset_1(E,u4_struct_0(B)) ) => ( r2_hidden(A,a_4_1_msafree4(B,C,D,E)) <=> ? [F] : ( m1_msafree4(F,u1_struct_0(B),k4_equation(B),k1_msafree4(u1_struct_0(B),k4_equation(B),k2_msualg_1(B,E))) & A = F & r1_equation(B,D,k2_msualg_1(B,E),F) ) ) ) )).
fof(fraenkel_a_4_1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) ) => ( r2_hidden(A,a_4_1_msafree5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) & A = k11_msafree5(B,D,k1_msafree3(B,D),F) & r2_tarski(F,k10_xtuple_0(E)) ) ) ) )).
fof(fraenkel_a_4_1_msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_1_msscyc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ? [G] : ( m1_subset_1(G,u4_struct_0(B)) & k3_funct_2(u4_struct_0(B),k3_finseq_2(u1_struct_0(B)),u1_msualg_1(B),G) = k1_xboole_0 & k3_funct_2(u4_struct_0(B),u1_struct_0(B),u2_msualg_1(B),G) = D & r2_tarski(F,k10_xtuple_0(k5_msualg_1(B,G,k11_msafree(B,C)))) ) ) ) ) )).
fof(fraenkel_a_4_1_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_msscyc_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & A = F & r1_xxreal_0(k8_msafree2(B,C,E,F),k1_nat_1(D,1)) ) ) ) )).
fof(fraenkel_a_4_1_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_msualg_5(B,C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_msualg_5(B,C)))) ) => ( r2_hidden(A,a_4_1_msualg_8(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C))))) & A = k15_lattice3(k5_msualg_5(u1_struct_0(B),u3_msualg_1(B,C)),F) & r2_tarski(F,k7_domain_1(k1_zfmisc_1(u1_struct_0(k6_msualg_5(B,C))),D,E)) ) ) ) )).
fof(fraenkel_a_4_1_mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v3_necklace(C) & m1_mycielsk(C,B) & v1_finset_1(D) & v6_dilworth(D,C) & m1_eqrel_1(D,u1_struct_0(C)) & m1_subset_1(E,D) ) => ( r2_hidden(A,a_4_1_mycielsk(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k2_xcmplx_0(F,B) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_1_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_1_nagata_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,k1_funct_1(C,E)) & r1_tarski(k2_pre_topc(B,F),D) ) ) ) )).
fof(fraenkel_a_4_1_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_1_nagata_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & ? [G] : ( G = E & r2_tarski(F,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & r1_tarski(k2_pre_topc(B,F),G) ) ) ) ) )).
fof(fraenkel_a_4_1_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_prvect_2(B) & m2_subset_1(C,k4_ordinal1,k4_finseq_1(B)) & m1_subset_1(D,u1_struct_0(k14_prvect_2(B))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_ndiff_5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k11_prvect_2(B,C))) & A = F & ~ r1_xxreal_0(E,k2_normsp_0(k11_prvect_2(B,C),k5_algstr_0(k11_prvect_2(B,C),F,k3_funct_2(u1_struct_0(k14_prvect_2(B)),u1_struct_0(k11_prvect_2(B,C)),k3_ndiff_5(B,C),D)))) ) ) ) )).
fof(fraenkel_a_4_1_nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(B))))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_nfcont_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(B))) & A = F & ~ r1_xxreal_0(E,k2_normsp_0(k4_real_ns1(B),k5_algstr_0(k4_real_ns1(B),F,k7_partfun1(u1_struct_0(k4_real_ns1(B)),D,C)))) ) ) ) )).
fof(fraenkel_a_4_1_orders_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & ~ v1_xboole_0(C) & v3_ordinal1(D) & v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) ) => ( r2_hidden(A,a_4_1_orders_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & ! [G] : ( r2_tarski(G,k2_relset_1(k10_xtuple_0(E),k5_relat_1(E,D))) => ( G != F & r2_hidden(k4_tarski(G,F),B) ) ) ) ) ) )).
fof(fraenkel_a_4_1_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_osafree(B,C,D,E)) <=> ? [F] : ( m1_dtconstr(F,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & A = F & ~ ( ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ~ ( r3_orders_2(B,G,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,D),E)) & r2_hidden(H,k1_funct_1(C,G)) & F = k1_trees_4(k4_tarski(H,G)) ) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(B)) => ~ ( k4_tarski(G,u1_struct_0(B)) = k1_funct_1(F,k1_xboole_0) & r3_orders_2(B,k2_msualg_1(B,G),k7_partfun1(u1_struct_0(B),k1_msualg_1(B,D),E)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_1_partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(C,B) & m1_eqrel_1(D,B) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_1_partit1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & A = F & r2_tarski(E,F) & r1_partit1(B,C,F) & r1_partit1(B,D,F) ) ) ) )).
fof(fraenkel_a_4_1_pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v15_pencil_1(C) & ~ v13_pencil_1(D) & v16_pencil_1(D,B) & m3_pboole(D,B,k12_pralg_1(B,C)) & ~ v13_pencil_1(E) & v16_pencil_1(E,B) & m3_pboole(E,B,k12_pralg_1(B,C)) ) => ( r2_hidden(A,a_4_1_pencil_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & k1_funct_1(D,F) != k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_1_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(C)) & v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( r2_hidden(A,a_4_1_petri_2(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,C,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,B))) & A = F & k2_partfun1(C,B,F,D) = E ) ) ) )).
fof(fraenkel_a_4_1_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m2_pnproc_1(C,B) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(E,k1_zfmisc_1(k3_finseq_2(C))) ) => ( r2_hidden(A,a_4_1_pnproc_1(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,C,k3_finseq_2(C)) & A = F & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v2_finseq_1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v2_finseq_1(H) & F = k2_xboole_0(G,H) & r1_xboole_0(G,H) & r2_tarski(k15_finseq_1(G),D) & r2_tarski(k15_finseq_1(H),E) ) ) ) ) ) )).
fof(fraenkel_a_4_1_polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & v3_ordinal1(C) & m2_subset_1(D,k14_pre_poly(k10_ordinal2(B,C)),k15_pre_poly(k10_ordinal2(B,C))) & v3_ordinal1(E) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_1_polynom6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k10_ordinal2(B,E)) & A = k5_ordinal3(F,B) & r1_ordinal1(B,F) & r2_tarski(F,k22_pre_poly(k10_ordinal2(B,C),D)) ) ) ) )).
fof(fraenkel_a_4_1_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & l3_msualg_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_1_pralg_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ? [G] : ( m1_subset_1(G,u4_struct_0(B)) & k3_funct_2(u4_struct_0(B),k3_finseq_2(u1_struct_0(B)),u1_msualg_1(B),G) = k1_xboole_0 & k3_funct_2(u4_struct_0(B),u1_struct_0(B),u2_msualg_1(B),G) = D & r2_tarski(F,k2_relset_1(k4_msualg_1(B,G,C),k5_msualg_1(B,G,C))) ) ) ) ) )).
fof(fraenkel_a_4_1_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_qc_lang4(D,B,C) & m1_qc_lang4(E,B,C) ) => ( r2_hidden(A,a_4_1_qc_lang4(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_qc_lang4(F,B,C,D) & m1_trees_1(G,k9_xtuple_0(k2_qc_lang4(B,D))) & A = k8_finseq_1(k4_ordinal1,F,G) & r2_tarski(G,k3_qc_lang4(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_1_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k1_substut1(B)) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & m2_subset_1(E,k9_qc_lang1(B),k3_cqc_lang(B)) ) => ( r2_hidden(A,a_4_1_qc_trans(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) & A = F & r2_tarski(F,k24_qc_lang1(B,E)) & m1_subset_1(F,k9_xtuple_0(C)) & F != D & F != k1_funct_1(C,F) ) ) ) )).
fof(fraenkel_a_4_1_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_quantal1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k6_algstr_0(B,E,F) & r2_tarski(F,k7_domain_1(u1_struct_0(B),C,D)) ) ) ) )).
fof(fraenkel_a_4_1_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k3_group_10(B,2),k2_finseq_1(2)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(B,2),k2_finseq_1(2)))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_4_1_ramsey_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = F & k1_funct_1(C,k2_tarski(E,F)) = 1 & r2_tarski(k2_tarski(E,F),k1_relset_1(k3_group_10(B,2),C)) ) ) ) )).
fof(fraenkel_a_4_1_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(C)))) ) => ( r2_hidden(A,a_4_1_random_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_relset_1(B,C,D,k1_prob_4(C,k9_setfam_1(C),E,F)) ) ) ) )).
fof(fraenkel_a_4_1_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_1_relset_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k7_relset_1(B,C,E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_1_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) & m1_rlsub_1(E,B) ) => ( r2_hidden(A,a_4_1_rlsub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(C,G) & r1_struct_0(k1_rlsub_2(B,D,E),F) ) ) ) )).
fof(fraenkel_a_4_1_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_1_rltopsp1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,k1_algstr_0(B,C,D),F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_1_rmod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_rmod_2(E,B,C) ) => ( r2_hidden(A,a_4_1_rmod_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_rlvect_1(C,D,F) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_1_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_4(D,B,C) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_rmod_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & k3_funct_2(u1_struct_0(C),u1_struct_0(B),k7_rmod_4(B,C,E,D),F) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_4_1_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) & m1_rusub_1(E,B) ) => ( r2_hidden(A,a_4_1_rusub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,F,G) & r1_struct_0(C,F) & r1_struct_0(k1_rusub_2(B,D,E),G) ) ) ) )).
fof(fraenkel_a_4_1_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_scmpds_4(B) & v1_int_1(C) & v1_int_1(D) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ( r2_hidden(A,a_4_1_scmpds_4(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(F,k4_card_1(B)) & r2_tarski(F,k2_afinsq_1(k9_compos_1(k1_scmpds_2,k8_scmpds_2(E,C,D)))) ) ) ) )).
fof(fraenkel_a_4_1_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m2_finseq_2(D,k2_numbers,k12_seq_4(B)) & m1_subset_1(E,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_4_1_seq_4(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,k2_numbers,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,k13_seq_4(B,C,D),F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_1_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_finset_1(D) & v1_finset_1(E) ) => ( r2_hidden(A,a_4_1_sgraph1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k4_tarski(F,k2_tarski(C,F)) & r2_tarski(F,E) & r2_tarski(k2_tarski(C,F),D) ) ) ) )).
fof(fraenkel_a_4_1_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & ~ v3_pencil_1(D) & v1_matroid0(D) & v3_matroid0(D) & v6_simplex0(D,u1_struct_0(C)) & v1_simplex1(D,C) & v2_simplex1(D,C) & m1_simplex0(D,u1_struct_0(C)) & m3_simplex0(E,D,k6_xcmplx_0(B,1)) ) => ( r2_hidden(A,a_4_1_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,D,B) & A = F & r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_4_1_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_rlaffin1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_rlaffin3(D,k15_euclid(B),C) ) => ( r2_hidden(A,a_4_1_simplex2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k3_convex1(k15_euclid(B),k7_subset_1(u1_struct_0(k15_euclid(B)),C,k1_tarski(k1_funct_1(D,F)))) & r2_tarski(F,k7_subset_1(k4_ordinal1,k4_finseq_1(D),E)) ) ) ) )).
fof(fraenkel_a_4_1_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_1_srings_1(B,C,D,E)) <=> ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(C)) & A = F & ? [G] : ? [H] : ( r2_tarski(G,D) & r2_tarski(H,E) & m1_eqrel_1(F,k3_xboole_0(G,H)) ) ) ) ) )).
fof(fraenkel_a_4_1_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_1_srings_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & ? [G] : ? [H] : ( r2_tarski(G,D) & r2_tarski(H,E) & F = k2_zfmisc_1(G,H) ) ) ) ) )).
fof(fraenkel_a_4_1_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_card_1(k5_card_1(B)),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(k5_card_1(B)),k5_card_1(B)))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_stirl2_1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & A = F & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k5_card_1(k1_nat_1(C,1)),k5_card_1(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k1_nat_1(C,1)),k5_card_1(B)))) & G = F & v2_funct_2(G,k5_card_1(B)) & v1_stirl2_1(G,k1_nat_1(C,1),B) & k1_stirl2_1(k1_nat_1(C,1),k5_card_1(B),G,k1_seq_4(k2_stirl2_1(k5_card_1(k1_nat_1(C,1)),B,G,C))) != k1_seq_4(C) ) & k1_funct_1(F,C) = k1_funct_1(D,E) ) ) ) )).
fof(fraenkel_a_4_1_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_valued_0(C) & v2_pre_poly(C) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v4_valued_0(D) & v2_pre_poly(D) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_1_termord(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = k4_tarski(F,k7_nat_d(k1_funct_1(D,F),k1_funct_1(C,F))) ) ) ) )).
fof(fraenkel_a_4_1_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v4_taxonom2(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_1_topalg_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = k9_subset_1(u1_struct_0(B),F,D) & r2_tarski(F,C) & r2_hidden(E,F) ) ) ) )).
fof(fraenkel_a_4_1_treal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,u1_struct_0(k2_topmetr(k5_numbers,1))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_1_treal_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k2_topmetr(k5_numbers,1))) & A = F & ~ r1_xxreal_0(k3_xxreal_0(E,k3_xcmplx_0(k6_xcmplx_0(B,C),k5_xcmplx_0(2))),k3_metric_1(k2_topmetr(k5_numbers,1),D,F)) ) ) ) )).
fof(fraenkel_a_4_1_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_vectsp_4(E,B,C) ) => ( r2_hidden(A,a_4_1_vectsp_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_rlvect_1(C,D,F) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_1_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & m1_vectsp_6(E,B,C) ) => ( r2_hidden(A,a_4_1_vectsp_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & k3_funct_2(u1_struct_0(C),u1_struct_0(B),k6_vectsp_6(B,C,D,E),F) != k4_struct_0(B) ) ) ) )).
fof(fraenkel_a_4_1_waybel13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v24_waybel_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_waybel13(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & r1_orders_2(C,F,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E)) & v1_waybel_3(F,C) ) ) ) )).
fof(fraenkel_a_4_1_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & v24_waybel_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_1_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v25_waybel_0(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & v2_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_1_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,E,k3_yellow_9(B,D)))) & A = k2_yellow_0(C,k7_relset_1(u1_struct_0(B),u1_struct_0(C),E,D)) ) ) ) )).
fof(fraenkel_a_4_1_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v3_lattice3(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k1_waybel22(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(B),u1_struct_0(C)))) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_4_1_waybel22(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k2_yellow_1(B))) & A = k1_funct_1(D,k6_waybel_0(k2_yellow_1(B),F)) & ? [G] : ( m1_subset_1(G,B) & F = k1_tarski(G) & r2_tarski(G,E) ) ) ) ) )).
fof(fraenkel_a_4_1_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(u1_struct_0(B),C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_1_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_waybel_3(C) & v1_yellow16(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) & m1_subset_1(E,u1_struct_0(k4_yellow_1(B,C))) ) => ( r2_hidden(A,a_4_1_waybel29(B,C,D,E)) <=> ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) & A = k1_funct_4(E,k5_relat_1(D,F)) ) ) ) )).
fof(fraenkel_a_4_1_waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,B) & v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_1_waybel31(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = F & r2_tarski(F,D) & r1_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_1_waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel33(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & v6_waybel_0(D,B) & m2_yellow_6(D,B,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(D),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(D)))) ) => ( r2_hidden(A,a_4_1_waybel33(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k1_waybel28(B,D,E))) & A = k2_waybel_0(B,k1_waybel28(B,D,E),F) ) ) ) )).
fof(fraenkel_a_4_1_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_yellow_1(C) & v4_waybel_3(C) & v5_waybel_3(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) & m1_subset_1(E,u1_struct_0(k4_yellow_1(B,C))) ) => ( r2_hidden(A,a_4_1_waybel_3(B,C,D,E)) <=> ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) & A = k1_funct_4(E,k5_relat_1(D,F)) ) ) ) )).
fof(fraenkel_a_4_1_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(D)) ) => ( r2_hidden(A,a_4_1_waybel_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r1_tarski(F,C) & r2_tarski(k2_yellow_0(B,F),E) ) ) ) )).
fof(fraenkel_a_4_1_waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v5_waybel_4(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_waybel_7(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r2_tarski(k7_yellow_3(B,B,F,k12_lattice3(B,D,E)),C) ) ) ) )).
fof(fraenkel_a_4_1_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v5_orders_2(C) & v2_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_4_1_yellow10(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k12_lattice3(B,F,G) & r2_tarski(F,k4_yellow_3(B,C,D)) & r2_tarski(G,k4_yellow_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_1_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & v8_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_1_yellow12(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) = k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,F) ) ) ) )).
fof(fraenkel_a_4_1_yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & ~ v2_struct_0(D) & v3_orders_2(D) & v4_orders_2(D) & v5_orders_2(D) & l1_orders_2(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_4_1_yellow_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r2_lattice3(B,E,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,F)) & r3_orders_2(B,k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,F),F) ) ) ) )).
fof(fraenkel_a_4_1_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_1_yellow_4(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k11_lattice3(B,F,G) & r2_tarski(F,k6_domain_1(u1_struct_0(B),C)) & r2_tarski(G,k7_domain_1(u1_struct_0(B),D,E)) ) ) ) )).
fof(fraenkel_a_4_1_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) & m3_yellow_6(E,u1_struct_0(D),B) ) => ( r2_hidden(A,a_4_1_yellow_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k2_relset_1(u1_struct_0(B),u1_waybel_0(B,k6_yellow_6(u1_struct_0(D),B,E,F))) ) ) ) )).
fof(fraenkel_a_4_1_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_1_yellow_9(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(G,k1_zfmisc_1(C)) & A = k8_mcart_1(B,C,F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_1_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_1_zf_fund1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k2_xboole_0(k1_tarski(k1_domain_1(k4_ordinal1,B,E,F)),D) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_1_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v1_relat_1(C) & v2_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & v5_ordinal1(C) & v1_zf_refle(C,B) & v1_relat_1(D) & v1_funct_1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_1_zf_fund2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_tarski(k1_funct_1(C,k1_funct_1(D,E)),k1_funct_1(C,F)) ) ) ) )).
fof(fraenkel_a_4_1_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_zmodul01(D,B) & m1_zmodul01(E,B) ) => ( r2_hidden(A,a_4_1_zmodul01(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(C,G) & r1_struct_0(k6_zmodul01(B,D,E),F) ) ) ) )).
fof(fraenkel_a_4_20_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_20_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,E)),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_4_20_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v3_mmlquery(D) & l1_mmlquery(D) & m2_finseq_1(E,u1_mmlquery(D)) ) => ( r2_hidden(A,a_4_20_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = F & r1_xxreal_0(k4_card_1(k7_subset_1(u1_struct_0(D),k30_mmlquery(D,F),k2_relset_1(u1_mmlquery(D),E))),B) & r1_xxreal_0(k4_card_1(k7_subset_1(u1_mmlquery(D),k2_relset_1(u1_mmlquery(D),E),k30_mmlquery(D,F))),C) ) ) ) )).
fof(fraenkel_a_4_21_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_21_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k1_funct_1(D,E)),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k1_funct_1(D,E)) ) ) ) )).
fof(fraenkel_a_4_22_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_22_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(u1_struct_0(B),C,F) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k1_funct_1(D,E)),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k1_funct_1(D,E)) ) ) ) )).
fof(fraenkel_a_4_23_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_23_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k2_relset_1(u1_struct_0(B),C)) & A = a_4_24_dickson(B,C,D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_24_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_4_24_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,E,k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,D) ) ) ) )).
fof(fraenkel_a_4_2_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & v1_funct_1(E) & v1_funct_2(E,D,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k4_ordinal1))) ) => ( r2_hidden(A,a_4_2_abian(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,B,D) & A = F & v1_abian(k3_funct_2(D,k4_ordinal1,E,F)) ) ) ) )).
fof(fraenkel_a_4_2_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(C) & v1_card_1(C) & v1_funct_1(D) & v1_funct_2(D,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & m1_subset_1(E,C) ) => ( r2_hidden(A,a_4_2_card_fil(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & A = F & r2_tarski(F,B) & k1_funct_1(F,E) = k3_funct_2(C,k2_tarski(k1_xboole_0,1),D,E) ) ) ) )).
fof(fraenkel_a_4_2_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_4_2_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))))) & A = F & v2_funct_1(F) & k1_funct_1(F,D) = E ) ) ) )).
fof(fraenkel_a_4_2_card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v4_card_3(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_card_lar(B,C,D,E)) <=> ? [F] : ( m1_card_lar(F,B,C) & A = k1_card_lar(B,F,k1_funct_1(D,E)) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_2_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & m1_chain_1(D,C) & m2_subset_1(E,k1_zfmisc_1(k1_euclid(C)),k4_chain_1(C,D,B)) ) => ( r2_hidden(A,a_4_2_chain_1(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(C)),k4_chain_1(C,D,k1_nat_1(B,1))) & A = F & r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_4_2_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(u1_struct_0(B),u3_msualg_1(B,C)))) ) => ( r2_hidden(A,a_4_2_closure2(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_2_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v3_msualg_1(C,B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(u1_struct_0(B),u3_msualg_1(B,C)))) & m1_subset_1(E,u4_struct_0(B)) ) => ( r2_hidden(A,a_4_2_closure3(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = k1_funct_1(F,k2_msualg_1(B,E)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_2_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & m1_subset_1(D,u1_incsp_1(k1_combgras(B,C))) & m1_subset_1(E,u1_incsp_1(k1_combgras(B,C))) ) => ( r2_hidden(A,a_4_2_combgras(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(C)) & A = F & k1_card_1(F) = B & r1_tarski(k3_xboole_0(D,E),F) ) ) ) )).
fof(fraenkel_a_4_2_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_2_compl_sp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = k3_funct_2(C,k4_ordinal1,D,F) & r2_tarski(F,a_3_13_compl_sp(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_2_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_compos_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,B) & v4_compos_1(C,B) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,B) & v4_compos_1(D,B) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,B) & v4_compos_1(E,B) ) => ( r2_hidden(A,a_4_2_compos_1(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(F,k7_nat_d(k4_card_1(k8_compos_1(B,C,D)),1)) & r2_tarski(F,k2_afinsq_1(k5_compos_1(B,E,k7_nat_d(k4_card_1(k8_compos_1(B,C,D)),1)))) ) ) ) )).
fof(fraenkel_a_4_2_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_2_conlat_2(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(H,k1_zfmisc_1(u4_struct_0(C))) & A = k4_tarski(F,g2_conlat_1(C,G,H)) & G = a_4_3_conlat_2(B,C,D,F) & H = a_4_4_conlat_2(B,C,E,F) ) ) ) )).
fof(fraenkel_a_4_2_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_2_convex1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k1_algstr_0(B,F,G) & r2_tarski(F,k6_rusub_4(B,C,D)) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_2_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_ec_pf_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(B))) & A = k6_eqrel_1(k6_ec_pf_1(B,C,D),k6_ec_pf_1(B,C,D),k8_ec_pf_1(B,C,D),k3_xtuple_0(k6_xcmplx_0(E,1),F,1)) & r2_hidden(k3_xtuple_0(k6_xcmplx_0(E,1),F,1),k6_ec_pf_1(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_2_euclid_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & m1_subset_1(E,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_4_2_euclid_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & A = F & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & k2_xcmplx_0(k2_xcmplx_0(G,H),I) = 1 & F = k3_rlvect_1(k15_euclid(B),k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,G),k1_rlvect_1(k15_euclid(B),D,H)),k1_rlvect_1(k15_euclid(B),E,I)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_2_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_2_finance1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_xxreal_0(D,k3_funct_2(B,k1_numbers,C,F)) & r1_xxreal_0(k3_funct_2(B,k1_numbers,C,F),E) ) ) ) )).
fof(fraenkel_a_4_2_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & v3_card_1(D,C) & m2_subset_1(D,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) & v3_card_1(E,C) & m2_subset_1(E,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B))) ) => ( r2_hidden(A,a_4_2_fomodel4(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(C)) & v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))))) & v1_funct_1(H) & v1_funct_2(H,k2_finseq_1(C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))))) & A = k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),k3_funct_2(k2_finseq_1(C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),G,F)),k3_funct_2(k2_finseq_1(C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),H,F)) & G = D & H = E ) ) ) )).
fof(fraenkel_a_4_2_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & ~ v2_struct_0(D) & l2_fsm_3(D,B,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_4_2_fsm_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k8_afinsq_1(B)) & A = F & ~ r1_xboole_0(k3_rewrite3(B,C,D,F,E),u2_fsm_3(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_2_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_goboard2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k18_euclid(F) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,D)),k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D))) ) ) ) )).
fof(fraenkel_a_4_2_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k17_euclid(F) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)),k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,C))) ) ) ) )).
fof(fraenkel_a_4_2_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_cqc_lang(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_goedelcp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_qc_lang1(B)) & A = F & ~ r2_tarski(k2_qc_lang3(B,F),k2_xboole_0(k6_goedelcp(B,k6_domain_1(k3_cqc_lang(B),k3_funct_2(k4_ordinal1,k3_cqc_lang(B),C,k1_nat_1(E,1)))),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),D,E)))) ) ) ) )).
fof(fraenkel_a_4_2_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_4_2_groeb_1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = k3_termord(B,C,D,F) & r2_tarski(F,E) & F != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_4_2_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & v1_algstr_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom7(E,B,C) & v3_polynom7(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_2_groeb_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,F,G) & r2_tarski(F,k3_polynom1(k15_pre_poly(B),C,E)) & r2_tarski(G,k3_polynom1(k15_pre_poly(B),C,D)) ) ) ) )).
fof(fraenkel_a_4_2_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( r2_hidden(A,a_4_2_group_10(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_funct_1(F) & v1_funct_2(F,B,k2_tarski(D,E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k2_tarski(D,E)))) & m1_subset_1(G,k1_zfmisc_1(B)) & A = k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(B,k2_tarski(D,E))),k1_zfmisc_1(B),F,G) & k4_card_1(k8_relset_1(B,k2_tarski(D,E),F,k1_tarski(D))) = C & k8_relset_1(B,k2_tarski(D,E),F,k1_tarski(D)) = G ) ) ) )).
fof(fraenkel_a_4_2_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & ~ v1_xboole_0(D) & v1_finset_1(D) & m2_funct_2(E,k4_partfun1(B,C),k1_heyting1(B),k9_funct_2(k4_partfun1(B,C),k1_heyting1(B))) ) => ( r2_hidden(A,a_4_2_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_2_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v1_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_2_ideal_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k8_group_1(B,E,F) & r2_tarski(F,k15_ideal_1(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_2_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_2_jgraph_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) ) ) ) )).
fof(fraenkel_a_4_2_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_2_jordan1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ r1_xxreal_0(k17_euclid(F),B) & ~ r1_xxreal_0(C,k17_euclid(F)) & ~ r1_xxreal_0(k18_euclid(F),D) & ~ r1_xxreal_0(E,k18_euclid(F)) ) ) ) )).
fof(fraenkel_a_4_2_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_jordan10(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),E,1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k1_nat_1(E,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,D)),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_4_2_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_2_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k7_nat_d(k3_xcmplx_0(2,C),1),1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k1_nat_1(k7_nat_d(k3_xcmplx_0(2,C),1),1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k7_nat_d(k3_xcmplx_0(2,D),2))),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k1_nat_1(k7_nat_d(k3_xcmplx_0(2,D),2),1)))) ) ) ) )).
fof(fraenkel_a_4_2_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_xreal_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_2_jordan20(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = F & r1_xxreal_0(F,1) & r1_xxreal_0(E,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ~ ( G = k1_funct_1(D,F) & k17_euclid(G) = C ) ) ) ) ) )).
fof(fraenkel_a_4_2_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_2_jordan6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,D,C,F,E) ) ) ) )).
fof(fraenkel_a_4_2_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,u1_struct_0(k3_lattice3(C))) ) => ( r2_hidden(A,a_4_2_lattice3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = E & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_2_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_lexbfs(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(C,D,F) & r1_xxreal_0(B,F) & r1_xxreal_0(F,k2_xcmplx_0(B,k1_nat_1(E,1))) ) ) ) )).
fof(fraenkel_a_4_2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,B) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_2_lfuzzy_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,B,k4_fuzzy_4(B,B),D,F),k8_lfuzzy_0(B,B,C,F,E)) ) ) ) )).
fof(fraenkel_a_4_2_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v2_xxreal_0(E) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_2_lpspace2(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = k5_lpspace2(B,C,D,F,E) & r2_tarski(F,k1_lpspace2(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_4_2_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) ) => ( r2_hidden(A,a_4_2_mathmorp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(C))) & A = k1_rlvect_1(k15_euclid(C),F,B) & r2_tarski(F,k3_mathmorp(k15_euclid(C),D,E)) ) ) ) )).
fof(fraenkel_a_4_2_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_cantor_1(E,D) & v1_tops_2(E,D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) ) => ( r2_hidden(A,a_4_2_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) & A = k7_relset_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(B),k9_funct_3(u1_struct_0(B),u1_struct_0(C)),F) & r2_hidden(F,E) ) ) ) )).
fof(fraenkel_a_4_2_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_4_2_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_ordinal1(k1_card_1(k1_mmlquery(B,E,F)),k1_card_1(k1_mmlquery(B,C,F))) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_2_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(B))) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_4_2_modelc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & k3_funct_2(B,k5_margrel1,k31_modelc_1(B,k52_modelc_1(B,C,D,E)),F) = k7_margrel1 ) ) ) )).
fof(fraenkel_a_4_2_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) & v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k23_modelc_3(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k23_modelc_3(C)))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_modelc_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_xxreal_0(1,F) & r1_xxreal_0(F,E) & r2_tarski(B,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,F),C))) ) ) ) )).
fof(fraenkel_a_4_2_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_2_msafree3(B,C,D,E)) <=> ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) & A = F & k7_msaterm(B,C,F) = E & r2_pboole(u1_struct_0(B),k4_msafree3(B,C,F),D) ) ) ) )).
fof(fraenkel_a_4_2_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_2_msafree5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(B,D))) & A = F & r1_xxreal_0(k10_msafree5(B,C,D,F),E) ) ) ) )).
fof(fraenkel_a_4_2_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_2_msscyc_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & A = F & ( r1_xxreal_0(k8_msafree2(B,C,E,F),D) | k8_msafree2(B,C,E,F) = k1_nat_1(D,1) ) ) ) ) )).
fof(fraenkel_a_4_2_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_2_nagata_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,k1_nagata_1(B,C,E)) & r1_tarski(k2_pre_topc(B,F),D) ) ) ) )).
fof(fraenkel_a_4_2_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & m2_subset_1(E,k1_zfmisc_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_2_nagata_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & ~ r1_xboole_0(F,E) ) ) ) )).
fof(fraenkel_a_4_2_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m2_orders_1(C,k1_orders_1(u1_struct_0(B)),k6_partfun1(k1_orders_1(u1_struct_0(B)))) & m2_orders_2(D,B,C) & m2_orders_2(E,B,C) ) => ( r2_hidden(A,a_4_2_orders_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r2_tarski(F,k9_subset_1(u1_struct_0(B),D,E)) & k3_orders_2(B,D,F) = k3_orders_2(B,E,F) ) ) ) )).
fof(fraenkel_a_4_2_partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(C,B) & m1_eqrel_1(D,B) ) => ( r2_hidden(A,a_4_2_partit1(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(B),C) & A = F & ? [G] : ( m2_finseq_1(G,B) & r1_xxreal_0(1,k3_finseq_1(G)) & k1_funct_1(G,1) = E & r2_tarski(k1_funct_1(G,k3_finseq_1(G)),F) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & ~ r1_xxreal_0(k3_finseq_1(G),H) & ! [I] : ! [J] : ! [K] : ~ ( r2_tarski(I,C) & r2_tarski(J,D) & r2_tarski(k1_funct_1(G,H),I) & r2_tarski(K,k3_xboole_0(I,J)) & r2_tarski(k1_funct_1(G,k1_nat_1(H,1)),J) ) ) ) ) ) ) ) )).
fof(fraenkel_a_4_2_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_zfmisc_1(B) & m1_subset_1(D,k1_zfmisc_1(C)) & v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( r2_hidden(A,a_4_2_petri_2(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,C,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,B))) & A = F & k2_partfun1(C,B,F,D) = E ) ) ) )).
fof(fraenkel_a_4_2_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m2_pnproc_1(C,B) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(E,k1_zfmisc_1(k3_finseq_2(C))) ) => ( r2_hidden(A,a_4_2_pnproc_1(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_finseq_2(F,C,k3_finseq_2(C)) & m2_finseq_2(G,C,k3_finseq_2(C)) & A = k1_pre_poly(C,F,G) & r2_tarski(F,E) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_4_2_polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & v3_ordinal1(C) & m2_subset_1(D,k14_pre_poly(k10_ordinal2(B,C)),k15_pre_poly(k10_ordinal2(B,C))) & v3_ordinal1(E) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_2_polynom6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k10_ordinal2(B,E)) & A = k5_ordinal3(F,B) & r2_tarski(F,k22_pre_poly(k10_ordinal2(B,C),D)) ) ) ) )).
fof(fraenkel_a_4_2_qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m1_subset_1(C,k9_qc_lang1(B)) & m1_qc_lang4(D,B,C) & m1_qc_lang4(E,B,C) ) => ( r2_hidden(A,a_4_2_qc_lang4(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_trees_1(F,k9_xtuple_0(k2_qc_lang4(B,C))) & m1_trees_1(G,k9_xtuple_0(k2_qc_lang4(B,D))) & A = k8_finseq_1(k4_ordinal1,F,G) & r2_tarski(F,k3_qc_lang4(B,C,D)) & r2_tarski(G,k3_qc_lang4(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_2_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_2_quantal1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k6_algstr_0(B,F,G) & r2_tarski(F,a_3_23_quantal1(B,C,D)) & r2_tarski(G,a_3_23_quantal1(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_2_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_2_relset_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & A = k6_relset_2(B,C,F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_2_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) & m1_rlsub_1(E,B) ) => ( r2_hidden(A,a_4_2_rlsub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(k2_rlsub_2(B,C,D),G) & r1_struct_0(k2_rlsub_2(B,D,E),F) ) ) ) )).
fof(fraenkel_a_4_2_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_2_rltopsp1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_algstr_0(B,C,F) & r2_tarski(F,k6_rusub_4(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_2_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) ) => ( r2_hidden(A,a_4_2_rmod_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(E,G) & r1_struct_0(D,F) ) ) ) )).
fof(fraenkel_a_4_2_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) & m1_rusub_1(E,B) ) => ( r2_hidden(A,a_4_2_rusub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,F,G) & r1_struct_0(k2_rusub_2(B,C,D),F) & r1_struct_0(k2_rusub_2(B,D,E),G) ) ) ) )).
fof(fraenkel_a_4_2_scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_scmpds_4(B) & v1_int_1(C) & v1_int_1(D) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ( r2_hidden(A,a_4_2_scmpds_4(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_nat_1(F,k4_card_1(B)) & r2_tarski(F,k2_afinsq_1(k9_compos_1(k1_scmpds_2,k9_scmpds_2(E,C,D)))) ) ) ) )).
fof(fraenkel_a_4_2_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m2_finseq_2(D,k2_numbers,k12_seq_4(B)) & m1_subset_1(E,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_4_2_seq_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k12_seq_4(B)) & A = k10_subset_1(k20_seq_4(k17_seq_4(B,k13_seq_4(B,C,D),F)),k1_numbers) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_2_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_sgraph1(C,B) & v1_finset_1(E) ) => ( r2_hidden(A,a_4_2_sgraph1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_tarski(F,E) & r2_tarski(k2_tarski(D,F),u1_sgraph1(C)) ) ) ) )).
fof(fraenkel_a_4_2_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & ~ v3_pencil_1(D) & v1_matroid0(D) & v3_matroid0(D) & v6_simplex0(D,u1_struct_0(C)) & v1_simplex1(D,C) & v2_simplex1(D,C) & m1_simplex0(D,u1_struct_0(C)) & m3_simplex0(E,k4_simplex1(C,D),k6_xcmplx_0(B,1)) ) => ( r2_hidden(A,a_4_2_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,k4_simplex1(C,D),B) & A = F & r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_4_2_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,C) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_2_srings_1(B,C,D,E)) <=> ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(C)) & A = F & ? [G] : ( r2_tarski(G,E) & m1_eqrel_1(F,k3_xboole_0(G,D)) ) ) ) ) )).
fof(fraenkel_a_4_2_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_2_srings_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & ? [G] : ? [H] : ( r2_tarski(G,D) & r2_tarski(H,E) & F = k2_zfmisc_1(G,H) ) ) ) ) )).
fof(fraenkel_a_4_2_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k2_qc_lang1(B),k3_qc_lang1(B)) & m2_subset_1(D,k16_substut1(B),k38_substut1(B)) & m1_substut1(E,B,k7_sublemma(B,D,C)) ) => ( r2_hidden(A,a_4_2_sublemma(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_qc_lang1(B)) & A = F & r2_tarski(k2_qc_lang3(B,F),k10_xtuple_0(k7_substut1(B,k21_qc_lang1(B,k2_sublemma(B,k9_sublemma(B,k7_sublemma(B,D,C),E))),k2_sublemma(B,k9_sublemma(B,k7_sublemma(B,D,C),E)),k19_substut1(B,k9_sublemma(B,k7_sublemma(B,D,C),E))))) ) ) ) )).
fof(fraenkel_a_4_2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_4_2_substlat(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k4_partfun1(B,C)) & m1_subset_1(G,k4_partfun1(B,C)) & A = k2_xboole_0(G,F) & r2_tarski(G,E) & r2_tarski(F,D) & r1_partfun1(G,F) ) ) ) )).
fof(fraenkel_a_4_2_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) ) => ( r2_hidden(A,a_4_2_vectsp_5(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(E,G) & r1_struct_0(D,F) ) ) ) )).
fof(fraenkel_a_4_2_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,B) & v7_waybel_0(C) & l1_waybel_0(C,B) & m3_yellow_6(D,u1_struct_0(C),B) & m1_subset_1(E,u1_struct_0(k7_yellow_6(B,C,D))) ) => ( r2_hidden(A,a_4_2_waybel11(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k7_yellow_6(B,C,D))) & A = k2_waybel_0(B,k7_yellow_6(B,C,D),F) & r1_orders_2(k7_yellow_6(B,C,D),E,F) ) ) ) )).
fof(fraenkel_a_4_2_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v24_waybel_0(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_2_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_2_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v24_waybel_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_2_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,k4_waybel17(B,E)))) & A = k2_yellow_0(C,a_5_1_waybel21(B,C,D,E,F)) ) ) ) )).
fof(fraenkel_a_4_2_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_2_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_2_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,u1_struct_0(k1_yellow_1(k5_waybel11(k3_yellow_3(C,B))))) & m1_subset_1(E,u1_struct_0(C)) ) => ( r2_hidden(A,a_4_2_waybel29(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r2_tarski(k7_yellow_3(C,B,E,F),D) ) ) ) )).
fof(fraenkel_a_4_2_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(D)) ) => ( r2_hidden(A,a_4_2_waybel_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = k2_yellow_0(B,F) & r1_tarski(F,C) & r2_tarski(k2_yellow_0(B,F),E) ) ) ) )).
fof(fraenkel_a_4_2_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v5_orders_2(C) & v2_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_4_2_yellow10(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k12_lattice3(C,F,G) & r2_tarski(F,k5_yellow_3(B,C,D)) & r2_tarski(G,k5_yellow_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_2_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & ~ v2_struct_0(E) & v2_pre_topc(E) & l1_pre_topc(E) ) => ( r2_hidden(A,a_4_2_yellow12(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ? [I] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(D))) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(E))) & A = k9_subset_1(u1_struct_0(k2_borsuk_1(C,E)),k3_borsuk_1(B,D,F,H),k3_borsuk_1(C,E,G,I)) & v3_pre_topc(F,B) & v3_pre_topc(G,C) & v3_pre_topc(H,D) & v3_pre_topc(I,E) ) ) ) )).
fof(fraenkel_a_4_2_yellow17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_waybel_3(C) & v1_waybel18(C) & m1_subset_1(D,B) & ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(B,C,D))))) ) => ( r2_hidden(A,a_4_2_yellow17(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(B,C,D))),E) & A = k8_relset_1(u1_struct_0(k3_waybel18(B,C)),u1_struct_0(k4_waybel18(B,C,D)),k6_waybel18(B,C,D),F) ) ) ) )).
fof(fraenkel_a_4_2_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) & m1_subset_1(E,u1_struct_0(D)) ) => ( r2_hidden(A,a_4_2_yellow_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k2_waybel_0(B,D,F) & r1_orders_2(D,E,F) ) ) ) )).
fof(fraenkel_a_4_2_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,B) & v2_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_tops_2(E,C) & v2_cantor_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_2_yellow_9(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_2_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_2_zf_fund1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,B) & m1_subset_1(G,B) & A = k2_xboole_0(k1_tarski(k1_domain_1(k4_ordinal1,B,E,F)),G) & r2_tarski(F,C) & r2_tarski(G,k1_classes2(B,D)) ) ) ) )).
fof(fraenkel_a_4_2_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v1_relat_1(C) & v2_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & v5_ordinal1(C) & v1_zf_refle(C,B) & v1_relat_1(D) & v1_funct_1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_2_zf_fund2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_tarski(k1_funct_1(C,k1_funct_1(D,E)),k1_funct_1(C,F)) ) ) ) )).
fof(fraenkel_a_4_2_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_zmodul01(D,B) & m1_zmodul01(E,B) ) => ( r2_hidden(A,a_4_2_zmodul01(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(k7_zmodul01(B,C,D),G) & r1_struct_0(k7_zmodul01(B,D,E),F) ) ) ) )).
fof(fraenkel_a_4_3_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) ) => ( r2_hidden(A,a_4_3_abian(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & k3_funct_2(B,B,k1_abian(B,C,F),E) = E ) ) ) )).
fof(fraenkel_a_4_3_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(C) & v1_card_1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_funct_1(E) & v1_funct_2(E,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) ) => ( r2_hidden(A,a_4_3_card_fil(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = k8_relat_1(D,a_4_4_card_fil(B,C,E,F)) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_3_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_3_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & v2_funct_1(F) & r1_tarski(k2_relset_1(C,k2_partfun1(B,C,F,k6_subset_1(B,D))),k7_relset_1(B,C,E,k6_subset_1(B,D))) & ! [G] : ( r2_tarski(G,D) => k1_funct_1(F,G) = k1_funct_1(E,G) ) ) ) ) )).
fof(fraenkel_a_4_3_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & m1_chain_1(D,C) & m1_subset_1(E,k1_zfmisc_1(k4_chain_1(C,D,k1_nat_1(B,1)))) ) => ( r2_hidden(A,a_4_3_chain_1(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(C)),k4_chain_1(C,D,B)) & A = F & r1_xxreal_0(k1_nat_1(B,1),C) & ~ v1_abian(k4_card_1(k9_subset_1(k4_chain_1(C,D,k1_nat_1(B,1)),k9_chain_1(C,D,B,F),E))) ) ) ) )).
fof(fraenkel_a_4_3_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)) & v7_closure2(D,u1_struct_0(B),C) & v8_closure2(D,u1_struct_0(B),C) & v9_closure2(D,u1_struct_0(B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)))) & m1_closure2(E,u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)),k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)))) ) => ( r2_hidden(A,a_4_3_closure2(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)),k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)))) & A = F & r2_pboole(u1_struct_0(B),E,F) & r2_tarski(F,u1_closure2(B,k10_closure2(B,C,D))) ) ) ) )).
fof(fraenkel_a_4_3_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_compos_1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_finset_1(E) ) => ( r2_hidden(A,a_4_3_compos_1(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k2_xcmplx_0(F,D) & r2_tarski(F,k9_xtuple_0(k5_compos_1(B,E,C))) ) ) ) )).
fof(fraenkel_a_4_3_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_3_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = F & r3_lattices(B,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,F),E) ) ) ) )).
fof(fraenkel_a_4_3_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_3_convex1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k1_algstr_0(B,F,G) & r2_tarski(F,k1_convex1(B,C,E)) & r2_tarski(G,k1_convex1(B,D,E)) ) ) ) )).
fof(fraenkel_a_4_3_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_3_domain_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ( ( r2_tarski(F,C) & ~ r2_tarski(F,D) ) | ( ~ r2_tarski(F,C) & r2_tarski(F,D) ) ) ) ) ) )).
fof(fraenkel_a_4_3_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) & m1_subset_1(D,u1_struct_0(k9_int_3(B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_ec_pf_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(B))) & A = k6_eqrel_1(k6_ec_pf_1(B,C,D),k6_ec_pf_1(B,C,D),k8_ec_pf_1(B,C,D),k3_xtuple_0(k6_xcmplx_0(k1_nat_1(E,1),1),F,1)) & r2_hidden(k3_xtuple_0(k6_xcmplx_0(k1_nat_1(E,1),1),F,1),k6_ec_pf_1(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_3_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_3_finance1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & m1_subset_1(k3_funct_2(B,C,D,F),E) ) ) ) )).
fof(fraenkel_a_4_3_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) & ~ v2_struct_0(C) & l1_altcat_1(C) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,k1_altcat_1(C,D,D)) ) => ( r2_hidden(A,a_4_3_functor0(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k4_tarski(k4_tarski(F,G),k7_funcop_1(k1_binop_1(u1_altcat_1(B),F,G),E)) ) ) ) )).
fof(fraenkel_a_4_3_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_goboard2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k18_euclid(F) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)),k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,D))) ) ) ) )).
fof(fraenkel_a_4_3_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_3_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k17_euclid(F) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)),k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),k18_euclid(E)) ) ) ) )).
fof(fraenkel_a_4_3_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_cqc_lang(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_goedelcp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_qc_lang1(B)) & A = F & ~ r2_tarski(k2_qc_lang3(B,F),k2_xboole_0(k6_goedelcp(B,k6_domain_1(k3_cqc_lang(B),k3_funct_2(k4_ordinal1,k3_cqc_lang(B),C,k1_nat_1(k1_nat_1(E,1),1)))),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),D,k1_nat_1(E,1))))) ) ) ) )).
fof(fraenkel_a_4_3_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_4_3_groeb_1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = k3_termord(B,C,D,F) & r2_tarski(F,k7_ideal_1(k12_polynom1(B,D),E)) & F != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_4_3_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,C)))) & ~ v1_xboole_0(E) & m2_ideal_1(E,k12_polynom1(B,C),D) ) => ( r2_hidden(A,a_4_3_groeb_2(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(C)) & v3_polynom7(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & A = k3_polynom1(k15_pre_poly(B),C,k10_polynom1(B,C,F,G)) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & r2_tarski(H,k4_finseq_1(E)) & k7_partfun1(u1_struct_0(k12_polynom1(B,C)),E,H) = k10_polynom1(B,C,F,G) ) ) ) ) )).
fof(fraenkel_a_4_3_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m2_subset_1(D,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & m2_funct_2(E,k4_partfun1(B,C),k1_heyting1(B),k9_funct_2(k4_partfun1(B,C),k1_heyting1(B))) ) => ( r2_hidden(A,a_4_3_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_heyting1(D)) & A = k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_3_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & v3_ideal_1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & v3_ideal_1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_3_ideal_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k6_algstr_0(B,E,F) & r2_tarski(F,k11_ideal_1(B,C,D)) ) ) ) )).
fof(fraenkel_a_4_3_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_3_jgraph_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ r1_xxreal_0(k17_euclid(F),B) & ~ r1_xxreal_0(C,k17_euclid(F)) & ~ r1_xxreal_0(k18_euclid(F),D) & ~ r1_xxreal_0(E,k18_euclid(F)) ) ) ) ) )).
fof(fraenkel_a_4_3_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_3_jordan1(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & ~ r1_xxreal_0(F,B) & ~ r1_xxreal_0(C,F) & ~ r1_xxreal_0(G,D) & ~ r1_xxreal_0(E,G) ) ) ) )).
fof(fraenkel_a_4_3_jordan10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_jordan10(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k7_nat_d(D,1),1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),k1_nat_1(k7_nat_d(D,1),1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,E)),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,C),1,k1_nat_1(E,1)))) ) ) ) )).
fof(fraenkel_a_4_3_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_3_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k7_nat_d(k3_xcmplx_0(2,C),1),1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),k1_nat_1(k7_nat_d(k3_xcmplx_0(2,C),1),1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k7_nat_d(k3_xcmplx_0(2,D),1))),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,k1_nat_1(B,1)),1,k1_nat_1(k7_nat_d(k3_xcmplx_0(2,D),1),1)))) ) ) ) )).
fof(fraenkel_a_4_3_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_3_jordan20(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,C,D,C,F) & r1_jordan5c(B,C,D,F,E) ) ) ) )).
fof(fraenkel_a_4_3_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),B))) & m1_subset_1(D,B) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_4_3_lattice3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k1_funct_1(C,k7_domain_1(B,F,D)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_3_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_lexbfs(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(C,D,F) & r1_xxreal_0(B,F) & r1_xxreal_0(F,k1_nat_1(k2_xcmplx_0(B,E),1)) ) ) ) )).
fof(fraenkel_a_4_3_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,B) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_3_lfuzzy_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,B,C,D,F),k8_lfuzzy_0(B,B,k4_fuzzy_4(B,B),F,E)) ) ) ) )).
fof(fraenkel_a_4_3_mathmorp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(D)))) ) => ( r2_hidden(A,a_4_3_mathmorp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(D))) & A = k1_rlvect_1(k15_euclid(D),F,k2_xcmplx_0(C,B)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_3_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_cantor_1(E,D) & v1_tops_2(E,D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) ) => ( r2_hidden(A,a_4_3_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) & A = k7_relset_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(C),k10_funct_3(u1_struct_0(B),u1_struct_0(C)),F) & r2_hidden(F,E) ) ) ) )).
fof(fraenkel_a_4_3_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_4_3_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_tarski(k1_card_1(k1_mmlquery(B,C,F)),k1_card_1(k1_mmlquery(B,E,F))) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_3_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_modelc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_hidden(k4_tarski(k3_funct_2(k4_ordinal1,B,D,k10_subset_1(E,k4_ordinal1)),F),C) ) ) ) )).
fof(fraenkel_a_4_3_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_subset_1(E,u4_struct_0(B)) ) => ( r2_hidden(A,a_4_3_msafree3(B,C,D,E)) <=> ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) & A = F & k7_msaterm(B,C,F) = k2_msualg_1(B,E) & r2_pboole(u1_struct_0(B),k4_msafree3(B,C,F),D) ) ) ) )).
fof(fraenkel_a_4_3_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v3_msualg_6(D,B,k1_msafree3(B,C)) & v4_msualg_6(D,B,k1_msafree3(B,C)) & v12_msafree4(D,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,C))) & v13_msafree4(D,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,C))) & m1_msualg_4(D,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,C)),u3_msualg_1(B,k1_msafree3(B,C))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_3_msafree4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(B,k1_msafree3(B,C)),E)) & A = k8_msafree4(k1_funct_1(u3_msualg_1(B,k1_msafree3(B,C)),E),k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,C)),u3_msualg_1(B,k1_msafree3(B,C)),D,E),F) ) ) ) )).
fof(fraenkel_a_4_3_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_msafree5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(B,k1_msafree3(B,C)))) & A = F & r1_msafree5(B,D,F) & r1_xxreal_0(k11_msafree5(B,C,k1_msafree3(B,C),F),E) ) ) ) )).
fof(fraenkel_a_4_3_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_3_msscyc_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & A = F & k8_msafree2(B,C,E,F) = k1_nat_1(D,1) ) ) ) )).
fof(fraenkel_a_4_3_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_3_nagata_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,E)) & r1_tarski(k2_pre_topc(B,F),D) ) ) ) )).
fof(fraenkel_a_4_3_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_relat_1(E) ) => ( r2_hidden(A,a_4_3_nagata_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k3_tarski(a_3_2_nagata_2(C,E,F)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_3_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_prvect_2(B) & m1_subset_1(D,u1_struct_0(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))))) & m1_subset_1(E,u1_struct_0(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))))) ) => ( r2_hidden(A,a_4_3_ndiff_5(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = k3_rlvect_1(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))),D,k1_rlvect_1(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))),k5_algstr_0(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))),E,D),F)) & ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(1,F) ) ) ) )).
fof(fraenkel_a_4_3_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) & m2_finseq_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_3_osafree(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m1_subset_1(F,u4_struct_0(B)) & m1_subset_1(G,k3_msualg_1(B,F,k8_osafree(B,C))) & m1_subset_1(H,u1_struct_0(B)) & A = k4_tarski(k3_funct_2(k3_msualg_1(B,F,k8_osafree(B,C)),k4_msualg_1(B,F,k8_osafree(B,C)),k5_msualg_1(B,F,k8_osafree(B,C)),G),H) & ? [I] : ( m1_subset_1(I,u4_struct_0(B)) & D = k4_tarski(I,u1_struct_0(B)) & r1_osalg_1(B,I,F) & k3_finseq_1(k1_msualg_1(B,I)) = k3_finseq_1(k1_msualg_1(B,F)) & r3_orders_2(B,k2_msualg_1(B,I),H) & r3_orders_2(B,k2_msualg_1(B,F),H) ) & ? [I] : ( m2_finseq_2(I,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & k4_finseq_1(I) = k4_finseq_1(E) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(E)) => r2_hidden(k4_tarski(k1_funct_1(G,J),k7_partfun1(u1_struct_0(B),I,J)),k1_funct_1(E,J)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_3_partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(E) & v1_funct_2(E,D,k9_setfam_1(k9_setfam_1(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k9_setfam_1(k9_setfam_1(B))))) ) => ( r2_hidden(A,a_4_3_partit1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = k3_funct_2(D,k9_setfam_1(k9_setfam_1(B)),E,F) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_3_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_zfmisc_1(B) & v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( r2_hidden(A,a_4_3_petri_2(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,C,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,B))) & A = F & k2_partfun1(C,B,F,D) = E ) ) ) )).
fof(fraenkel_a_4_3_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m2_pnproc_1(C,B) & m1_subset_1(D,k1_zfmisc_1(k3_finseq_2(C))) & m1_subset_1(E,k1_zfmisc_1(k3_finseq_2(C))) ) => ( r2_hidden(A,a_4_3_pnproc_1(B,C,D,E)) <=> ? [F] : ( m2_finseq_2(F,C,k3_finseq_2(C)) & A = F & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v2_finseq_1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v2_finseq_1(H) & F = k2_xboole_0(G,H) & r1_xboole_0(G,H) & r2_tarski(k15_finseq_1(G),E) & r2_tarski(k15_finseq_1(H),D) ) ) ) ) ) )).
fof(fraenkel_a_4_3_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_3_quantal1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r3_lattices(B,k6_algstr_0(B,F,k1_quantal1(B,k6_algstr_0(B,D,E),C)),C) ) ) ) )).
fof(fraenkel_a_4_3_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r2_hidden(A,a_4_3_relset_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & A = k6_relset_2(B,C,F,D) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_3_rlsub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_rlsub_1(D,B) & m1_rlsub_1(E,B) ) => ( r2_hidden(A,a_4_3_rlsub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(D,G) & r1_struct_0(k2_rlsub_2(B,C,E),F) ) ) ) )).
fof(fraenkel_a_4_3_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & l2_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_3_rltopsp1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k1_algstr_0(B,F,G) & r2_tarski(F,k5_rusub_4(B,D,C)) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_3_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & v2_vectsp_2(E,B) & m1_rmod_2(E,B,C) ) => ( r2_hidden(A,a_4_3_rmod_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(D,G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_3_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) & m1_rusub_1(E,B) ) => ( r2_hidden(A,a_4_3_rusub_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,F,G) & r1_struct_0(D,F) & r1_struct_0(k2_rusub_2(B,C,E),G) ) ) ) )).
fof(fraenkel_a_4_3_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & m2_finseq_2(C,k2_numbers,k12_seq_4(B)) & m2_finseq_2(D,k2_numbers,k12_seq_4(B)) & m1_subset_1(E,k1_zfmisc_1(k12_seq_4(B))) ) => ( r2_hidden(A,a_4_3_seq_4(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k12_seq_4(B)) & A = k20_seq_4(k17_seq_4(B,k13_seq_4(B,C,D),F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_3_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & v1_funct_1(E) & v1_funct_2(E,k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D)))),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D)))),D))) ) => ( r2_hidden(A,a_4_3_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),k6_xcmplx_0(k4_card_1(D),1)) & A = F & k7_relset_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D)))),D,E,F) = D ) ) ) )).
fof(fraenkel_a_4_3_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,C) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_3_srings_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & m1_subset_1(F,C) & ~ v1_xboole_0(k6_subset_1(F,D)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_3_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_3_srings_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k1_zfmisc_1(B),D) & m2_subset_1(G,k1_zfmisc_1(C),E) & A = k8_mcart_1(B,C,F,G) ) ) ) )).
fof(fraenkel_a_4_3_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & m2_subset_1(D,k6_qc_lang1(B),k8_qc_lang1(B,C)) & v5_relat_1(E,k3_qc_lang1(B)) & v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(B)) ) => ( r2_hidden(A,a_4_3_sublemma(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k1_funct_1(k17_qc_lang1(B,k4_cqc_lang(C,B,D,E)),F) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(k17_qc_lang1(B,k4_cqc_lang(C,B,D,E)))) & r2_tarski(k1_funct_1(k17_qc_lang1(B,k4_cqc_lang(C,B,D,E)),F),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_4_3_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(B,C))) ) => ( r2_hidden(A,a_4_3_substlat(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k4_partfun1(B,C)) & m1_subset_1(G,k4_partfun1(B,C)) & A = k2_xboole_0(F,G) & r2_tarski(F,E) & r2_tarski(G,D) & r1_partfun1(F,G) ) ) ) )).
fof(fraenkel_a_4_3_termord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(B) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom7(D,B,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom7(E,B,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_3_termord(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,F,G) & r2_tarski(F,k3_polynom1(k15_pre_poly(B),C,D)) & r2_tarski(G,k3_polynom1(k15_pre_poly(B),C,E)) ) ) ) )).
fof(fraenkel_a_4_3_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & v7_vectsp_1(E,B) & m1_vectsp_4(E,B,C) ) => ( r2_hidden(A,a_4_3_vectsp_5(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(D,G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_3_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & m2_pboole(E,C,D,k7_funcop_1(C,u1_struct_0(B))) ) => ( r2_hidden(A,a_4_3_waybel11(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_card_3(k1_funct_6(E))) & A = k2_yellow_0(B,k2_relset_1(u1_struct_0(B),k3_waybel_5(C,u1_struct_0(B),D,E,k2_waybel_5(C,u1_struct_0(B),D,E),F))) ) ) ) )).
fof(fraenkel_a_4_3_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v3_waybel_3(C) & v4_waybel11(C) & l1_waybel_9(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_3_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_3_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) & m1_subset_1(E,u1_struct_0(D)) ) => ( r2_hidden(A,a_4_3_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k2_waybel_0(B,D,F) & r1_orders_2(D,E,F) ) ) ) )).
fof(fraenkel_a_4_3_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(u1_struct_0(B),C)))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_3_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_yellow_0(C,a_4_1_waybel24(B,C,D,F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_3_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v4_funct_1(C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_3_waybel_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & k1_funct_1(F,k12_lattice3(B,D,E)) = 1 ) ) ) )).
fof(fraenkel_a_4_3_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & v5_orders_2(C) & v1_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_4_3_yellow10(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(k3_yellow_3(B,C))) & m1_subset_1(G,u1_struct_0(k3_yellow_3(B,C))) & A = k13_lattice3(k3_yellow_3(B,C),F,G) & r2_tarski(F,D) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_4_3_yellow17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_waybel_3(C) & v1_waybel18(C) & m1_subset_1(D,B) & ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(B,C,D))))) ) => ( r2_hidden(A,a_4_3_yellow17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = k8_relset_1(u1_struct_0(k3_waybel18(B,C)),u1_struct_0(k4_waybel18(B,C,D)),k6_waybel18(B,C,D),F) ) ) ) )).
fof(fraenkel_a_4_3_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) & m1_subset_1(E,u1_struct_0(D)) ) => ( r2_hidden(A,a_4_3_yellow_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = F & r1_orders_2(D,E,F) ) ) ) )).
fof(fraenkel_a_4_3_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_3_yellow_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k8_relset_1(u1_struct_0(B),u1_struct_0(C),D,k3_subset_1(u1_struct_0(C),F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_3_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_3_zf_fund1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = k1_tarski(k1_domain_1(k4_ordinal1,B,E,F)) & r2_tarski(k2_xboole_0(k1_tarski(k1_domain_1(k4_ordinal1,B,E,F)),D),C) ) ) ) )).
fof(fraenkel_a_4_3_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_zmodul01(C,B) & m1_zmodul01(D,B) & m1_zmodul01(E,B) ) => ( r2_hidden(A,a_4_3_zmodul01(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,G,F) & r1_struct_0(D,G) & r1_struct_0(k7_zmodul01(B,C,E),F) ) ) ) )).
fof(fraenkel_a_4_4_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & v1_funct_1(E) & v1_funct_2(E,D,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k4_ordinal1))) ) => ( r2_hidden(A,a_4_4_abian(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,B,D) & A = F & ~ v1_abian(k3_funct_2(D,k4_ordinal1,E,F)) ) ) ) )).
fof(fraenkel_a_4_4_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(C) & v1_card_1(C) & v1_funct_1(D) & v1_funct_2(D,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & m1_subset_1(E,C) ) => ( r2_hidden(A,a_4_4_card_fil(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,C,k2_tarski(k1_xboole_0,1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,k2_tarski(k1_xboole_0,1)))) & A = F & r2_tarski(F,B) & k3_funct_2(C,k2_tarski(k1_xboole_0,1),F,E) = k3_funct_2(C,k2_tarski(k1_xboole_0,1),D,E) ) ) ) )).
fof(fraenkel_a_4_4_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_4_4_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))))) & A = F & 1 = 1 & r1_tarski(k2_relset_1(k2_xboole_0(C,k1_tarski(E)),k2_partfun1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E)),F,B)),C) & k1_funct_1(F,D) = E ) ) ) )).
fof(fraenkel_a_4_4_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)) & v7_closure2(D,u1_struct_0(B),C) & v8_closure2(D,u1_struct_0(B),C) & v9_closure2(D,u1_struct_0(B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)))) & v1_funct_1(E) & v1_funct_2(E,k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D))),k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)))) & v7_closure2(E,u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D))) & v8_closure2(E,u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D))) & v9_closure2(E,u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D))),k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)))))) ) => ( r2_hidden(A,a_4_4_closure2(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)),k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)))) & A = F & r6_pboole(u1_struct_0(B),k7_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)),E,F),F) ) ) ) )).
fof(fraenkel_a_4_4_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) ) => ( r2_hidden(A,a_4_4_closure3(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,B,C,k6_closure2(B,C)) & A = k1_funct_1(F,D) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_4_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_4_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u4_struct_0(C)) & A = F & r3_lattices(B,E,k3_funct_2(u4_struct_0(C),u1_struct_0(B),D,F)) ) ) ) )).
fof(fraenkel_a_4_4_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_4_convex1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k1_algstr_0(B,F,G) & r2_tarski(F,k1_convex1(B,C,D)) & r2_tarski(G,k1_convex1(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_4_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_4_domain_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ( ~ r2_tarski(F,C) <=> r2_tarski(F,D) ) ) ) ) )).
fof(fraenkel_a_4_4_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_4_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k18_euclid(F) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E)),k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E))) ) ) ) )).
fof(fraenkel_a_4_4_goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_cqc_lang(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B)))))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_4_goedelcp(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_qc_lang1(B)) & A = F & ~ r2_tarski(k2_qc_lang3(B,F),k2_xboole_0(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(B),k1_zfmisc_1(k3_qc_lang1(B))),D,E)),k6_goedelcp(B,k6_domain_1(k3_cqc_lang(B),k3_funct_2(k4_ordinal1,k3_cqc_lang(B),C,k1_nat_1(E,1)))))) ) ) ) )).
fof(fraenkel_a_4_4_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_graph_1(C,B) & v7_ordinal1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_4_graph_2(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ~ ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) & ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_4_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & v7_graph_1(C,B) & m2_graph_1(C,B) & v7_ordinal1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_4_graph_4(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ~ ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) & ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_4_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_4_4_groeb_1(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = k3_termord(B,C,D,F) & r2_tarski(F,E) & F != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_4_4_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,B,k1_funct_2(C,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_funct_2(C,C)))) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_4_group_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & ? [G] : ( m2_finseq_1(G,B) & ? [H] : ( m1_subset_1(H,E) & k1_funct_1(k2_group_9(B,C,D,G),H) = F ) ) ) ) ) )).
fof(fraenkel_a_4_4_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_4_jgraph_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ ( k17_euclid(F) = B & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) & ~ ( k18_euclid(F) = E & r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) ) & ~ ( k17_euclid(F) = C & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) & ~ ( k18_euclid(F) = D & r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) ) ) ) ) ) )).
fof(fraenkel_a_4_4_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_4_jordan1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(D,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) ) ) ) )).
fof(fraenkel_a_4_4_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_4_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,B),C,1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,B),k1_nat_1(C,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,B),1,D)),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,B),1,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_4_4_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_4_jordan20(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & r1_jordan5c(B,C,D,E,F) & r1_jordan5c(B,C,D,F,D) ) ) ) )).
fof(fraenkel_a_4_4_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_4_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k8_metric_1(D,F,k7_xcmplx_0(1,k1_newton(2,E))) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_4_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_hidden(A,a_4_4_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_tarski(k1_card_1(k1_mmlquery(B,E,F)),k1_card_1(k1_mmlquery(B,C,F))) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_4_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_4_modelc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_hidden(k4_tarski(k3_funct_2(k4_ordinal1,B,D,k1_nat_1(E,1)),F),C) ) ) ) )).
fof(fraenkel_a_4_4_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_dtconstr(E,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) ) => ( r2_hidden(A,a_4_4_msafree3(B,C,D,E)) <=> ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) & A = F & k7_msaterm(B,C,F) = k7_msaterm(B,C,E) & r2_pboole(u1_struct_0(B),k4_msafree3(B,C,F),D) ) ) ) )).
fof(fraenkel_a_4_4_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) ) => ( r2_hidden(A,a_4_4_msafree5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) & A = k15_msafree5(B,D,k1_msafree3(B,D),F) & r2_tarski(F,k10_xtuple_0(E)) ) ) ) )).
fof(fraenkel_a_4_4_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & m1_subset_1(D,u1_struct_0(B)) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_4_msscyc_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),D)) & A = F & r1_xxreal_0(k8_msafree2(B,C,D,F),E) ) ) ) )).
fof(fraenkel_a_4_4_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_4_nagata_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,k1_funct_1(C,E)) & r1_tarski(k2_pre_topc(B,F),D) ) ) ) )).
fof(fraenkel_a_4_4_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & m1_subset_1(E,k9_setfam_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_4_nagata_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & ~ r1_xboole_0(F,E) ) ) ) )).
fof(fraenkel_a_4_4_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_prvect_2(B) & m1_subset_1(D,u1_struct_0(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))))) & m1_subset_1(E,u1_struct_0(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))))) ) => ( r2_hidden(A,a_4_4_ndiff_5(B,C,D,E)) <=> ? [F] : ( v1_xreal_0(F) & A = k3_rlvect_1(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))),k1_rlvect_1(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))),D,k6_xcmplx_0(1,F)),k1_rlvect_1(k11_prvect_2(B,k10_subset_1(C,k4_finseq_1(B))),E,F)) & r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,1) ) ) ) )).
fof(fraenkel_a_4_4_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) & m2_finseq_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_4_osafree(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m1_subset_1(F,u4_struct_0(B)) & m1_subset_1(G,k3_msualg_1(B,F,k8_osafree(B,C))) & m1_subset_1(H,u1_struct_0(B)) & A = k4_tarski(k3_funct_2(k3_msualg_1(B,F,k8_osafree(B,C)),k4_msualg_1(B,F,k8_osafree(B,C)),k5_msualg_1(B,F,k8_osafree(B,C)),G),H) & ? [I] : ( m1_subset_1(I,u4_struct_0(B)) & k9_osafree(B,C,D) = k4_tarski(I,u1_struct_0(B)) & r1_osalg_1(B,I,F) & k3_finseq_1(k1_msualg_1(B,I)) = k3_finseq_1(k1_msualg_1(B,F)) & r3_orders_2(B,k2_msualg_1(B,I),H) & r3_orders_2(B,k2_msualg_1(B,F),H) ) & ? [I] : ( m2_finseq_2(I,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & k4_finseq_1(I) = k4_finseq_1(E) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(E)) => r2_hidden(k4_tarski(k1_funct_1(G,J),k7_partfun1(u1_struct_0(B),I,J)),k1_funct_1(E,J)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_4_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_4_4_polyred(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = k2_polyred(B,C,D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_4_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) & ~ v1_xboole_0(D) & m1_pralg_2(E,D,B) ) => ( r2_hidden(A,a_4_4_pralg_3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = k4_msualg_1(B,C,k5_pralg_2(D,B,E,F)) ) ) ) )).
fof(fraenkel_a_4_4_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_4_quantal1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r3_lattices(B,k6_algstr_0(B,F,k6_algstr_0(B,D,E)),C) ) ) ) )).
fof(fraenkel_a_4_4_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C)))) ) => ( r2_hidden(A,a_4_4_relset_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = k7_relset_1(B,C,F,D) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_4_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_connsp_2(E,B,C) ) => ( r2_hidden(A,a_4_4_rltopsp1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,D,F) & r2_tarski(F,k1_tops_1(B,E)) ) ) ) )).
fof(fraenkel_a_4_4_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) ) => ( r2_hidden(A,a_4_4_rmod_3(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(k2_rmod_3(B,C,D,E),G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_4_rusub_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_rusub_1(C,B) & m1_rusub_1(D,B) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_4_rusub_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_rlvect_1(B,E,F) & r1_struct_0(k2_rusub_2(B,C,D),F) ) ) ) )).
fof(fraenkel_a_4_4_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & v6_simplex0(C,u1_struct_0(B)) & v1_simplex1(C,B) & v2_simplex1(C,B) & m1_simplex0(C,u1_struct_0(B)) & v1_finset_1(D) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & v1_finset_1(E) & v1_rlaffin1(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_4_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,k4_simplex1(B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),E))),k4_card_1(D)) & A = F & r1_tarski(k7_relset_1(k1_orders_1(u1_struct_0(B)),u1_struct_0(B),k2_rlaffin2(B),D),F) ) ) ) )).
fof(fraenkel_a_4_4_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,C) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_4_srings_1(B,C,D,E)) <=> ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(C)) & A = F & ? [G] : ( m1_subset_1(G,C) & m1_subset_1(G,C) & ~ v1_xboole_0(k6_subset_1(G,D)) & r2_tarski(G,E) & m1_eqrel_1(F,k6_subset_1(G,D)) ) ) ) ) )).
fof(fraenkel_a_4_4_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(D,B) & v3_srings_1(D,B) & ~ v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_srings_1(E,C) & v3_srings_1(E,C) & ~ v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_4_srings_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & ? [G] : ? [H] : ( r2_tarski(G,D) & r2_tarski(H,E) & F = k2_zfmisc_1(G,H) ) ) ) ) )).
fof(fraenkel_a_4_4_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k2_qc_lang1(B),k3_qc_lang1(B)) & m2_subset_1(D,k16_substut1(B),k38_substut1(B)) & m1_substut1(E,B,k7_sublemma(B,D,C)) ) => ( r2_hidden(A,a_4_4_sublemma(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) & A = F & r2_tarski(F,k24_qc_lang1(B,k11_cqc_lang(B,C,k2_sublemma(B,D)))) & m1_subset_1(F,k9_xtuple_0(E)) & F != C & F != k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_4_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) ) => ( r2_hidden(A,a_4_4_vectsp_5(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,G,F) & r1_struct_0(k2_vectsp_5(B,C,D,E),G) & r1_struct_0(E,F) ) ) ) )).
fof(fraenkel_a_4_4_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_4_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r3_orders_2(B,F,E) & v1_waybel_3(F,B) ) ) ) )).
fof(fraenkel_a_4_4_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(A,a_4_4_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) & A = k2_yellow_0(C,a_5_3_waybel21(B,C,D,E,F)) ) ) ) )).
fof(fraenkel_a_4_4_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C)))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_4_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_yellow_0(C,a_4_5_waybel24(B,C,D,F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_4_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v4_funct_1(C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_4_waybel_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & k1_funct_1(F,k13_lattice3(B,D,E)) = 1 ) ) ) )).
fof(fraenkel_a_4_4_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & v5_orders_2(C) & v1_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_4_4_yellow10(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k13_lattice3(B,F,G) & r2_tarski(F,k4_yellow_3(B,C,D)) & r2_tarski(G,k4_yellow_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_4_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v1_tops_2(D,B) & v1_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_connsp_2(E,B,C) ) => ( r2_hidden(A,a_4_4_yellow_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,D) & r1_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_4_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m2_subset_1(D,k4_ordinal1,k1_zf_lang) & m2_subset_1(E,k4_ordinal1,k1_zf_lang) ) => ( r2_hidden(A,a_4_4_zf_fund1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,B) & m1_subset_1(G,B) & A = k1_classes2(B,k6_classes2(B,F,G)) & r2_tarski(F,k4_zf_fund1(k2_zf_model(k3_zf_lang(D,E)))) & r2_tarski(G,C) ) ) ) )).
fof(fraenkel_a_4_5_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) ) => ( r2_hidden(A,a_4_5_abian(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = F & ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & k1_funct_1(k1_abian(B,C,G),F) = k3_funct_2(B,B,k1_abian(B,C,H),E) & v1_abian(G) & v1_abian(H) ) ) ) ) ) )).
fof(fraenkel_a_4_5_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) ) => ( r2_hidden(A,a_4_5_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E))))) & A = F & v2_funct_1(F) & r1_tarski(k10_xtuple_0(k5_relat_1(F,B)),C) & r1_tarski(k2_relset_1(k2_xboole_0(C,k1_tarski(E)),k2_partfun1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(C,k1_tarski(E)),F,B)),C) & k1_funct_1(F,D) = E ) ) ) )).
fof(fraenkel_a_4_5_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & m1_chain_1(D,C) & m2_subset_1(E,k1_zfmisc_1(k1_euclid(C)),k4_chain_1(C,D,B)) ) => ( r2_hidden(A,a_4_5_chain_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_chain_1(C,D,k1_nat_1(B,1))) & A = F & r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_4_5_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(B) & v15_closure2(C,B) & l1_closure2(C,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(u1_struct_0(B),u3_msualg_1(B,C)))) ) => ( r2_hidden(A,a_4_5_closure2(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,u1_struct_0(B),u3_msualg_1(B,C),k6_closure2(u1_struct_0(B),u3_msualg_1(B,C))) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_5_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( r2_hidden(A,a_4_5_closure3(B,C,D,E)) <=> ? [F] : ( m1_closure2(F,B,C,k6_closure2(B,C)) & A = k1_funct_1(F,E) & r2_tarski(F,k3_tarski(D)) ) ) ) )).
fof(fraenkel_a_4_5_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_5_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_5_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m2_rlvect_2(E,B,k7_domain_1(u1_struct_0(B),C,D)) ) => ( r2_hidden(A,a_4_5_convex1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & k1_funct_1(E,F) != k5_numbers ) ) ) )).
fof(fraenkel_a_4_5_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_5_domain_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ( r2_tarski(F,C) <=> ~ r2_tarski(F,D) ) ) ) ) )).
fof(fraenkel_a_4_5_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_5_finance1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & m1_subset_1(k3_funct_2(B,k1_numbers,C,F),k3_rcomp_1(D,E)) ) ) ) )).
fof(fraenkel_a_4_5_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_5_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k18_euclid(F) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(E),k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D))) ) ) ) )).
fof(fraenkel_a_4_5_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_5_graph_2(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ~ ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,D) ) & ~ ( r1_xxreal_0(k1_nat_1(E,1),F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_5_graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(B)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_5_graph_4(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = F & ~ ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,D) ) & ~ ( r1_xxreal_0(k1_nat_1(E,1),F) & r1_xxreal_0(F,k3_finseq_1(C)) ) ) ) ) ) )).
fof(fraenkel_a_4_5_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_funct_2(C,C)) & v1_group_10(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(C,C)))) ) => ( r2_hidden(A,a_4_5_group_10(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,C) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & A = k1_domain_1(C,k1_zfmisc_1(u1_struct_0(B)),F,G) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & F = k3_funct_2(C,C,k1_group_10(B,C,E,H),D) & G = k13_group_2(B,k11_group_10(B,C,E,D),H) ) ) ) ) )).
fof(fraenkel_a_4_5_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & m1_group_9(D,B,C) & m1_group_9(E,B,C) ) => ( r2_hidden(A,a_4_5_group_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = F & ? [G] : ( v2_group_9(G,B) & m1_group_9(G,B,C) & F = u1_struct_0(G) & r1_tarski(k4_subset_1(u1_struct_0(C),k15_group_9(B,C,D),k15_group_9(B,C,E)),k15_group_9(B,C,G)) ) ) ) ) )).
fof(fraenkel_a_4_5_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k4_partfun1(D,D)) ) => ( r2_hidden(A,a_4_5_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(B,C)) & A = k6_subset_1(k1_funct_1(E,F),F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_5_jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_5_jgraph_6(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ ( k17_euclid(F) = B & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = E ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = D ) & ~ ( k17_euclid(F) = C & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) ) ) ) ) )).
fof(fraenkel_a_4_5_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_5_jordan1(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & ~ ( r1_xxreal_0(B,F) & r1_xxreal_0(F,C) & r1_xxreal_0(D,G) & r1_xxreal_0(G,E) ) ) ) ) )).
fof(fraenkel_a_4_5_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_4_5_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v7_ordinal1(F) & v7_ordinal1(G) & A = k3_goboard5(k1_jordan8(E,k2_xcmplx_0(B,k5_numbers)),F,G) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k5_numbers),C),k11_newton(2,k1_nat_1(k5_numbers,1))),2),F) & r1_xxreal_0(F,k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k5_numbers),C),k1_newton(2,k5_numbers)),1)) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k5_numbers),D),k11_newton(2,k1_nat_1(k5_numbers,1))),2),G) & r1_xxreal_0(G,k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k5_numbers),D),k1_newton(2,k5_numbers)),1)) ) ) ) )).
fof(fraenkel_a_4_5_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_5_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k8_metric_1(D,F,k7_xcmplx_0(1,k11_newton(2,E))) & r2_hidden(F,C) ) ) ) )).
fof(fraenkel_a_4_5_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_5_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & k1_card_1(k1_mmlquery(B,D,F)) = E & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_5_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_dtconstr(D,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) ) => ( r2_hidden(A,a_4_5_msafree3(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,u1_struct_0(k5_msafree(B,C)),k2_relset_1(u1_struct_0(k5_msafree(B,C)),D)) & A = k1_xtuple_0(F) & k2_xtuple_0(F) = E ) ) ) )).
fof(fraenkel_a_4_5_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m2_finseq_2(D,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_5_osafree(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_dtconstr(F,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & m1_dtconstr(G,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) & A = k4_tarski(F,G) & r2_hidden(k4_tarski(F,k7_partfun1(u1_struct_0(B),D,E)),k3_funct_2(k4_dtconstr(k2_osafree(B,C)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B))),k19_osafree(B,C),G)) ) ) ) )).
fof(fraenkel_a_4_5_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_5_quantal1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r3_lattices(B,k6_algstr_0(B,F,k6_algstr_0(B,D,k2_quantal1(B,E,C))),C) ) ) ) )).
fof(fraenkel_a_4_5_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C)))) ) => ( r2_hidden(A,a_4_5_relset_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = k6_relset_2(B,C,D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_5_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & v1_relat_1(C) & v1_funct_1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_5_rltopsp1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & v3_pre_topc(G,B) & m1_connsp_2(G,B,k4_struct_0(B)) & A = k7_rusub_4(B,k5_rusub_4(B,G,F),E) & r2_tarski(k5_rusub_4(B,G,F),D) & r2_tarski(k1_domain_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(B)),F,G),k10_xtuple_0(C)) ) ) ) )).
fof(fraenkel_a_4_5_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & ~ v3_pencil_1(D) & v1_matroid0(D) & v3_matroid0(D) & v6_simplex0(D,u1_struct_0(C)) & v1_simplex1(D,C) & v2_simplex1(D,C) & m1_simplex0(D,u1_struct_0(C)) & v3_pre_topc(E,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_4_5_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,D,B) & A = F & r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_4_5_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,C) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_5_srings_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & m1_subset_1(F,C) & ~ v1_xboole_0(k3_xboole_0(F,D)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_5_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v4_srings_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v4_srings_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_5_srings_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & ? [G] : ? [H] : ( r2_tarski(G,D) & r2_tarski(H,E) & F = k2_zfmisc_1(G,H) ) ) ) ) )).
fof(fraenkel_a_4_5_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & m1_subset_1(E,k1_substut1(B)) ) => ( r2_hidden(A,a_4_5_sublemma(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) & A = F & r2_tarski(F,k24_qc_lang1(B,k11_cqc_lang(B,D,C))) & m1_subset_1(F,k9_xtuple_0(E)) & F != D & F != k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_5_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_subset_1(E,u1_struct_0(C)) ) => ( r2_hidden(A,a_4_5_vectsp_5(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_rlvect_1(C,E,F) & r1_struct_0(D,F) ) ) ) )).
fof(fraenkel_a_4_5_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_5_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r3_orders_2(B,F,E) & v1_waybel_3(F,B) ) ) ) )).
fof(fraenkel_a_4_5_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(A,a_4_5_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(E)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k2_yellow_0(B,a_3_6_waybel21(B,E,F))) ) ) ) )).
fof(fraenkel_a_4_5_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_5_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_5_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & v5_orders_2(C) & v1_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_yellow_3(B,C)))) ) => ( r2_hidden(A,a_4_5_yellow10(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k13_lattice3(C,F,G) & r2_tarski(F,k5_yellow_3(B,C,D)) & r2_tarski(G,k5_yellow_3(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_5_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( r2_hidden(A,a_4_5_yellow_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = k3_borsuk_1(B,C,F,D) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_6_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) ) => ( r2_hidden(A,a_4_6_abian(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = F & ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & k1_funct_1(k1_abian(B,C,G),F) = k3_funct_2(B,B,k1_abian(B,C,H),E) & ~ v1_abian(G) & v1_abian(H) ) ) ) ) ) )).
fof(fraenkel_a_4_6_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_4_6_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,k2_tarski(D,E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k2_tarski(D,E)))) & A = F & ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = F => k4_card_1(k8_relat_1(k5_relat_1(G,B),k1_tarski(D))) = C ) ) ) ) ) )).
fof(fraenkel_a_4_6_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_6_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u4_struct_0(C)) & A = k3_funct_2(u4_struct_0(C),u1_struct_0(B),D,F) & r3_lattices(B,E,k3_funct_2(u4_struct_0(C),u1_struct_0(B),D,F)) ) ) ) )).
fof(fraenkel_a_4_6_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_6_dickson(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,u1_struct_0(B),E) & A = F & ? [G] : ( m2_subset_1(G,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & G = F & ~ v1_finset_1(a_4_7_dickson(B,C,D,G)) ) ) ) ) )).
fof(fraenkel_a_4_6_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & ~ v1_xboole_0(E) ) => ( r2_hidden(A,a_4_6_domain_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = F & ~ ( r2_tarski(F,C) <=> r2_tarski(F,D) ) ) ) ) )).
fof(fraenkel_a_4_6_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_6_finance1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & m1_subset_1(k3_funct_2(B,k1_numbers,C,F),k1_rcomp_1(D,E)) ) ) ) )).
fof(fraenkel_a_4_6_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v7_ordinal1(D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_6_fomodel3(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_finseq_2(F,B,k4_finseq_2(D,B)) & m2_finseq_2(G,C,k4_finseq_2(D,C)) & A = k1_domain_1(k4_finseq_2(D,B),k4_finseq_2(D,C),F,G) & r1_relset_1(k4_ordinal1,C,G,k4_relset_1(k4_ordinal1,B,B,C,F,E)) ) ) ) )).
fof(fraenkel_a_4_6_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_6_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k18_euclid(F) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)),k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E))) ) ) ) )).
fof(fraenkel_a_4_6_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v2_struct_0(C) & v8_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k1_funct_2(B,B)) & v1_group_10(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(B,B)))) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_6_group_10(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_group_10(C,B,D,E,F) ) ) ) )).
fof(fraenkel_a_4_6_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v2_group_9(D,B) & v4_group_9(D,B,C) & m1_group_9(D,B,C) & m1_subset_1(E,B) ) => ( r2_hidden(A,a_4_6_group_9(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k7_group_9(B,C,D)) & m1_subset_1(G,k7_group_9(B,C,D)) & A = k4_tarski(F,G) & ? [H] : ( m1_subset_1(H,u1_struct_0(C)) & ? [I] : ( m1_subset_1(I,u1_struct_0(C)) & r2_tarski(H,F) & r2_tarski(I,G) & I = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k3_group_9(B,C,E),H) ) ) ) ) ) )).
fof(fraenkel_a_4_6_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,u1_struct_0(k5_substlat(B,C))) & m1_subset_1(E,k4_partfun1(B,C)) ) => ( r2_hidden(A,a_4_6_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(B,C)) & A = F & r2_tarski(F,D) & v1_finset_1(F) & ~ r1_partfun1(F,E) ) ) ) )).
fof(fraenkel_a_4_6_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_6_jordan1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ r1_xxreal_0(k17_euclid(F),B) & ~ r1_xxreal_0(D,k17_euclid(F)) & ~ r1_xxreal_0(k18_euclid(F),C) & ~ r1_xxreal_0(E,k18_euclid(F)) ) ) ) )).
fof(fraenkel_a_4_6_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_6_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),D,1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k7_nat_d(E,1))),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,E))) ) ) ) )).
fof(fraenkel_a_4_6_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_6_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & A = k8_metric_1(D,F,k7_xcmplx_0(1,k11_newton(2,E))) & r2_hidden(F,C) ) ) ) )).
fof(fraenkel_a_4_6_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_6_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_ordinal1(k1_card_1(k1_mmlquery(B,D,F)),E) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_6_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & ~ v3_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_dtconstr(D,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & m1_trees_1(E,k9_xtuple_0(D)) ) => ( r2_hidden(A,a_4_6_msafree3(B,C,D,E)) <=> ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))))) & A = F & k7_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),F) = k7_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),k8_msaterm(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),D,E)) & r2_pboole(u1_struct_0(B),k4_msafree3(B,k2_pboole(u1_struct_0(B),C,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(B),k6_domain_1(k4_ordinal1,k5_numbers))),F),C) ) ) ) )).
fof(fraenkel_a_4_6_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) ) => ( r2_hidden(A,a_4_6_msafree5(B,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & A = k2_msafree5(k8_relat_1(k1_funct_1(E,k2_xcmplx_0(F,1)),k2_zfmisc_1(u4_struct_0(B),k1_tarski(u1_struct_0(B)))),k14_trees_3(F)) & ~ r1_xxreal_0(k3_finseq_1(E),F) ) ) ) )).
fof(fraenkel_a_4_6_osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v4_osalg_1(B) & v5_osalg_1(B) & v8_osalg_1(B) & v10_osalg_1(B) & v2_osalg_4(B) & l3_osalg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) & m1_trees_4(E,k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C))) ) => ( r2_hidden(A,a_4_6_osafree(B,C,D,E)) <=> ? [F] : ? [G] : ? [H] : ( m1_subset_1(F,u4_struct_0(B)) & m1_subset_1(G,k3_msualg_1(B,F,k8_osafree(B,C))) & m1_subset_1(H,u1_struct_0(B)) & A = k4_tarski(k3_funct_2(k3_msualg_1(B,F,k8_osafree(B,C)),k4_msualg_1(B,F,k8_osafree(B,C)),k5_msualg_1(B,F,k8_osafree(B,C)),G),H) & ? [I] : ( m1_subset_1(I,u4_struct_0(B)) & D = k4_tarski(I,u1_struct_0(B)) & r1_osalg_1(B,I,F) & k3_finseq_1(k1_msualg_1(B,I)) = k3_finseq_1(k1_msualg_1(B,F)) & r3_orders_2(B,k2_msualg_1(B,I),H) & r3_orders_2(B,k2_msualg_1(B,F),H) ) & ? [I] : ( m2_finseq_2(I,u1_struct_0(B),k3_finseq_2(u1_struct_0(B))) & k4_finseq_1(I) = k4_finseq_1(k11_lang1(k4_dtconstr(k2_osafree(B,C)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B))),E,k19_osafree(B,C))) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(k11_lang1(k4_dtconstr(k2_osafree(B,C)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B))),E,k19_osafree(B,C)))) => r2_hidden(k4_tarski(k1_funct_1(G,J),k7_partfun1(u1_struct_0(B),I,J)),k1_funct_1(k11_lang1(k4_dtconstr(k2_osafree(B,C)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B))),E,k19_osafree(B,C)),J)) ) ) ) ) ) ) )).
fof(fraenkel_a_4_6_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_6_quantal1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & r3_lattices(B,k6_algstr_0(B,k6_algstr_0(B,k1_quantal1(B,E,C),D),F),C) ) ) ) )).
fof(fraenkel_a_4_6_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & v3_pre_topc(E,B) & m1_connsp_2(E,B,k4_struct_0(B)) ) => ( r2_hidden(A,a_4_6_rltopsp1(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(B,F,G) & r2_tarski(F,k5_rusub_4(B,E,D)) & r2_tarski(G,C) ) ) ) )).
fof(fraenkel_a_4_6_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m3_simplex0(E,k5_simplex1(k5_numbers,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),k6_xcmplx_0(B,1)) ) => ( r2_hidden(A,a_4_6_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,k5_simplex1(k5_numbers,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),B) & A = F & r1_tarski(E,F) ) ) ) )).
fof(fraenkel_a_4_6_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_subset_1(D,C) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_6_srings_1(B,C,D,E)) <=> ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(C)) & A = F & ? [G] : ( m1_subset_1(G,C) & m1_subset_1(G,C) & ~ v1_xboole_0(k3_xboole_0(G,D)) & r2_tarski(G,E) & m1_eqrel_1(F,k3_xboole_0(G,D)) ) ) ) ) )).
fof(fraenkel_a_4_6_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_6_srings_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_subset_1(F,k1_zfmisc_1(B),D) & m2_subset_1(G,k1_zfmisc_1(C),E) & A = k8_mcart_1(B,C,F,G) & r2_tarski(F,k7_subset_1(k1_zfmisc_1(B),D,k1_tarski(k1_xboole_0))) & r2_tarski(G,k7_subset_1(k1_zfmisc_1(C),E,k1_tarski(k1_xboole_0))) ) ) ) )).
fof(fraenkel_a_4_6_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(B) & m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & m1_subset_1(E,k1_substut1(B)) ) => ( r2_hidden(A,a_4_6_sublemma(B,C,D,E)) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) & A = F & r2_tarski(F,k24_qc_lang1(B,C)) & m1_subset_1(F,k9_xtuple_0(E)) & F != D & F != k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_6_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_6_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_6_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_waybel_3(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,u1_struct_0(k5_waybel_9(B,C,D))) ) => ( r2_hidden(A,a_4_6_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_waybel_9(B,C,D))) & A = k2_waybel_0(B,k5_waybel_9(B,C,D),F) & r1_orders_2(k5_waybel_9(B,C,D),E,F) ) ) ) )).
fof(fraenkel_a_4_6_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C)))) & ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_6_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_yellow_0(C,a_4_7_waybel24(B,C,E,F)) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_6_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_6_yellow_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,D,F) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_7_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & v1_funct_1(E) & v1_funct_2(E,D,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k4_ordinal1))) ) => ( r2_hidden(A,a_4_7_abian(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = F & v1_abian(k3_funct_2(D,k4_ordinal1,E,F)) ) ) ) )).
fof(fraenkel_a_4_7_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_4_7_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,k2_tarski(D,E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k2_tarski(D,E)))) & A = F & ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = F => k1_card_1(k8_relat_1(G,k1_tarski(D))) = C ) ) ) ) ) )).
fof(fraenkel_a_4_7_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v8_ordinal1(C) & m1_chain_1(D,C) & m1_subset_1(E,k1_zfmisc_1(k4_chain_1(C,D,k1_nat_1(B,1)))) ) => ( r2_hidden(A,a_4_7_chain_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_chain_1(C,D,B)) & A = F & r1_xxreal_0(k1_nat_1(B,1),C) & ~ v1_abian(k4_card_1(k9_subset_1(k4_chain_1(C,D,k1_nat_1(B,1)),k9_chain_1(C,D,B,F),E))) ) ) ) )).
fof(fraenkel_a_4_7_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_7_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,F) & r3_lattices(B,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,F),E) ) ) ) )).
fof(fraenkel_a_4_7_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & m1_subset_1(D,k4_ordinal1) & m2_subset_1(E,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_4_7_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,E,k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,D) ) ) ) )).
fof(fraenkel_a_4_7_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_4_7_goboard3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & k18_euclid(F) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)),k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),k17_euclid(E)) ) ) ) )).
fof(fraenkel_a_4_7_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(C,C)) & v1_group_10(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(C,C)))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_7_group_10(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k3_group_10(C,E)) & A = F & r1_group_10(B,k3_group_10(C,E),k5_group_10(C,E,B,D),F) ) ) ) )).
fof(fraenkel_a_4_7_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v2_group_9(D,B) & m1_group_9(D,B,C) & v2_group_9(E,B) & m1_group_9(E,B,C) ) => ( r2_hidden(A,a_4_7_group_9(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & A = k6_algstr_0(C,F,G) & r2_tarski(F,k15_group_9(B,C,D)) & r2_tarski(G,k15_group_9(B,C,E)) ) ) ) )).
fof(fraenkel_a_4_7_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,u1_struct_0(k5_substlat(B,C))) & m1_subset_1(E,k4_partfun1(B,C)) ) => ( r2_hidden(A,a_4_7_heyting2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k4_partfun1(B,C)) & m1_subset_1(G,k4_partfun1(B,C)) & A = k2_xboole_0(F,G) & r2_tarski(F,a_4_6_heyting2(B,C,D,E)) & r2_tarski(G,k1_tarski(E)) & r1_partfun1(F,G) ) ) ) )).
fof(fraenkel_a_4_7_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_7_jordan1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( r1_xxreal_0(B,k17_euclid(F)) & r1_xxreal_0(k17_euclid(F),D) & r1_xxreal_0(C,k18_euclid(F)) & r1_xxreal_0(k18_euclid(F),E) ) ) ) ) )).
fof(fraenkel_a_4_7_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_7_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),E,1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k1_nat_1(E,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,D)),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k1_nat_1(D,1)))) ) ) ) )).
fof(fraenkel_a_4_7_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & v1_cantor_1(C,B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_7_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,C) & ? [G] : ( m1_subset_1(G,u1_struct_0(D)) & r1_tarski(F,k8_metric_1(D,G,k7_xcmplx_0(1,k1_newton(2,E)))) ) ) ) ) )).
fof(fraenkel_a_4_7_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_7_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r1_ordinal1(E,k1_card_1(k1_mmlquery(B,D,F))) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_7_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v1_relat_1(C) & ~ v3_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,k3_card_3(u3_msualg_1(B,k1_msafree3(B,C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_7_msafree3(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k10_xtuple_0(D)) & A = k1_xtuple_0(F) & k2_xtuple_0(F) = E ) ) ) )).
fof(fraenkel_a_4_7_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(D))) ) => ( r2_hidden(A,a_4_7_quantal1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,F) & r2_tarski(F,k5_setfam_1(D,E)) ) ) ) )).
fof(fraenkel_a_4_7_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v7_ordinal1(D) & v1_finset_1(E) & v1_rlaffin1(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_7_simplex1(B,C,D,E)) <=> ? [F] : ( m3_simplex0(F,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),D) & A = F ) ) ) )).
fof(fraenkel_a_4_7_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_finseq_1(D,C) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_7_srings_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & r2_tarski(F,k1_xboole_0) & r1_tarski(F,k1_funct_1(D,E)) ) ) ) )).
fof(fraenkel_a_4_7_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_7_srings_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & ? [G] : ? [H] : ( r2_tarski(G,k7_subset_1(k1_zfmisc_1(B),D,k1_tarski(k1_xboole_0))) & r2_tarski(H,k7_subset_1(k1_zfmisc_1(C),E,k1_tarski(k1_xboole_0))) & F = k2_zfmisc_1(G,H) ) ) ) ) )).
fof(fraenkel_a_4_7_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(k3_waybel17(B,C,D))) ) => ( r2_hidden(A,a_4_7_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k3_waybel17(B,C,D))) & A = k2_waybel_0(B,k3_waybel17(B,C,D),F) & r1_orders_2(k3_waybel17(B,C,D),E,F) ) ) ) )).
fof(fraenkel_a_4_7_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(A,a_4_7_waybel21(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(E)) & A = k1_funct_1(D,k2_yellow_0(B,a_3_6_waybel21(B,E,F))) ) ) ) )).
fof(fraenkel_a_4_7_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v3_lattice3(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k1_waybel22(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(B),u1_struct_0(C)))) & ~ v1_xboole_0(E) & v2_waybel_0(E,k2_yellow_1(B)) & v13_waybel_0(E,k2_yellow_1(B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k2_yellow_1(B)))) ) => ( r2_hidden(A,a_4_7_waybel22(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & A = k2_yellow_0(C,a_4_1_waybel22(B,C,D,F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_7_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) ) => ( r2_hidden(A,a_4_7_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_7_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,B) & v2_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_4_7_yellow_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = k3_borsuk_1(B,C,F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_8_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & v1_funct_1(E) & v1_funct_2(E,D,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k4_ordinal1))) ) => ( r2_hidden(A,a_4_8_abian(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = F & ~ v1_abian(k3_funct_2(D,k4_ordinal1,E,F)) ) ) ) )).
fof(fraenkel_a_4_8_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_8_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k6_subset_1(B,D),k7_relset_1(B,C,E,k6_subset_1(B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(B,D),k7_relset_1(B,C,E,k6_subset_1(B,D))))) & A = F & v2_funct_1(F) ) ) ) )).
fof(fraenkel_a_4_8_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_8_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & A = k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,F) & r2_tarski(F,a_4_3_conlat_2(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_4_8_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_8_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,E)),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_4_8_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_funct_2(C,C)) & v1_group_10(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(C,C)))) & m1_subset_1(E,C) ) => ( r2_hidden(A,a_4_8_group_10(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = F & k7_relset_1(C,C,k1_group_10(B,C,D,F),k6_domain_1(C,E)) = k6_domain_1(C,E) ) ) ) )).
fof(fraenkel_a_4_8_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v2_group_9(D,B) & m1_group_9(D,B,C) & v2_group_9(E,B) & m1_group_9(E,B,C) ) => ( r2_hidden(A,a_4_8_group_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = F & ? [G] : ( v2_group_9(G,B) & m1_group_9(G,B,C) & F = u1_struct_0(G) & r1_tarski(k16_group_9(B,C,D,E),k15_group_9(B,C,G)) ) ) ) ) )).
fof(fraenkel_a_4_8_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,u1_struct_0(k5_substlat(B,C))) & m1_subset_1(E,k4_partfun1(B,C)) ) => ( r2_hidden(A,a_4_8_heyting2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k4_partfun1(B,C)) & m1_subset_1(G,k4_partfun1(B,C)) & A = k2_xboole_0(F,G) & G = E & r2_tarski(F,a_4_6_heyting2(B,C,D,E)) & r1_partfun1(F,G) ) ) ) )).
fof(fraenkel_a_4_8_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_8_jordan1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ ( k17_euclid(F) = B & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(C,k18_euclid(F)) ) & ~ ( r1_xxreal_0(k17_euclid(F),D) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = E ) & ~ ( r1_xxreal_0(k17_euclid(F),D) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = C ) & ~ ( k17_euclid(F) = D & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(C,k18_euclid(F)) ) ) ) ) ) )).
fof(fraenkel_a_4_8_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(B) & v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_8_jordan1d(B,C,D,E)) <=> ? [F] : ? [G] : ( v1_xreal_0(F) & v1_xreal_0(G) & A = k19_euclid(F,G) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),D,1)),F) & r1_xxreal_0(F,k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k1_nat_1(D,1),1))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,E)),G) & r1_xxreal_0(G,k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,k1_nat_1(E,1)))) ) ) ) )).
fof(fraenkel_a_4_8_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & v1_cantor_1(C,B) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & m1_subset_1(E,k4_ordinal1) ) => ( r2_hidden(A,a_4_8_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = F & r2_tarski(F,C) & ? [G] : ( m1_subset_1(G,u1_struct_0(D)) & r1_tarski(F,k8_metric_1(D,G,k7_xcmplx_0(1,k11_newton(2,E)))) ) ) ) ) )).
fof(fraenkel_a_4_8_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_8_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_tarski(k1_card_1(k1_mmlquery(B,D,F)),E) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_8_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & m1_subset_1(E,D) ) => ( r2_hidden(A,a_4_8_srings_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & r2_tarski(F,k1_xboole_0) & r1_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_8_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) ) => ( r2_hidden(A,a_4_8_srings_2(B,C,D,E)) <=> ? [F] : ? [G] : ( m1_subset_1(F,k7_subset_1(k1_zfmisc_1(B),D,k1_tarski(k1_xboole_0))) & m1_subset_1(G,k7_subset_1(k1_zfmisc_1(C),E,k1_tarski(k1_xboole_0))) & A = k2_zfmisc_1(F,G) & r2_tarski(F,k7_subset_1(k1_zfmisc_1(B),D,k1_tarski(k1_xboole_0))) & r2_tarski(G,k7_subset_1(k1_zfmisc_1(C),E,k1_tarski(k1_xboole_0))) ) ) ) )).
fof(fraenkel_a_4_8_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( r2_hidden(A,a_4_8_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) & A = k2_yellow_0(C,a_5_3_waybel17(B,C,D,E,F)) ) ) ) )).
fof(fraenkel_a_4_8_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C)))) & ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_8_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_yellow_0(C,a_4_5_waybel24(B,C,D,F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_4_8_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,C) & v2_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_4_8_yellow_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k3_borsuk_1(B,C,E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_9_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_9_card_fin(B,C,D,E)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = F & v2_funct_1(F) & k10_xtuple_0(k5_relat_1(F,k6_subset_1(B,D))) = k7_relset_1(B,C,E,k6_subset_1(B,D)) & r1_tarski(k2_relset_1(C,k2_partfun1(B,C,F,k6_subset_1(B,D))),k7_relset_1(B,C,E,k6_subset_1(B,D))) & ! [G] : ( r2_tarski(G,k6_subset_1(B,k6_subset_1(B,D))) => k1_funct_1(F,G) = k1_funct_1(E,G) ) ) ) ) )).
fof(fraenkel_a_4_9_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(k11_conlat_1(C))) ) => ( r2_hidden(A,a_4_9_conlat_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u4_struct_0(C)) & A = k3_funct_2(u4_struct_0(C),u1_struct_0(B),D,F) & r2_tarski(F,u3_conlat_1(C,k12_conlat_1(C,E))) ) ) ) )).
fof(fraenkel_a_4_9_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_9_dickson(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = k8_nat_1(u1_struct_0(B),C,F) & r1_orders_2(B,k8_nat_1(u1_struct_0(B),C,k8_nat_1(k4_ordinal1,D,E)),k8_nat_1(u1_struct_0(B),C,F)) & ~ r1_xxreal_0(F,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_4_9_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v7_ordinal1(D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_4_9_fomodel3(B,C,D,E)) <=> ? [F] : ? [G] : ( m2_finseq_2(F,B,k4_finseq_2(D,B)) & m2_finseq_2(G,C,k4_finseq_2(D,C)) & A = k1_domain_1(k4_finseq_2(D,C),k4_finseq_2(D,B),G,F) & ! [H] : ( r2_tarski(H,k2_finseq_1(D)) => r2_hidden(k4_tarski(k1_funct_1(F,H),k1_funct_1(G,H)),E) ) ) ) ) )).
fof(fraenkel_a_4_9_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_group_2(C,B) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),k1_funct_2(D,D)) & v1_group_10(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_funct_2(D,D)))) ) => ( r2_hidden(A,a_4_9_group_10(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,D) & A = F & r1_group_10(C,D,E,F) ) ) ) )).
fof(fraenkel_a_4_9_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v8_group_9(D,B,C) & m2_finseq_1(D,k6_group_9(B,C)) & v8_group_9(E,B,C) & m2_finseq_1(E,k6_group_9(B,C)) ) => ( r2_hidden(A,a_4_9_group_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_ordinal1) & A = F & r2_tarski(F,k4_finseq_1(D)) & k1_funct_1(D,F) = k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_4_9_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(C) & m1_subset_1(D,u1_struct_0(k5_substlat(B,C))) & m1_subset_1(E,k4_partfun1(B,C)) ) => ( r2_hidden(A,a_4_9_heyting2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k4_partfun1(B,C)) & A = k2_xboole_0(F,E) & r2_tarski(F,a_4_6_heyting2(B,C,D,E)) & r1_partfun1(F,E) ) ) ) )).
fof(fraenkel_a_4_9_jordan1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) ) => ( r2_hidden(A,a_4_9_jordan1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) & A = F & ~ ( ~ ( k17_euclid(F) = B & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = E ) & ~ ( r1_xxreal_0(k17_euclid(F),C) & r1_xxreal_0(B,k17_euclid(F)) & k18_euclid(F) = D ) & ~ ( k17_euclid(F) = C & r1_xxreal_0(k18_euclid(F),E) & r1_xxreal_0(D,k18_euclid(F)) ) ) ) ) ) )).
fof(fraenkel_a_4_9_metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_cantor_1(D,B) & v1_tops_2(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_9_metrizts(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & A = k7_relset_1(u1_struct_0(B),u1_struct_0(C),E,F) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_9_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v7_ordinal1(E) ) => ( r2_hidden(A,a_4_9_mmlquery(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & A = F & r2_tarski(E,k1_card_1(k1_mmlquery(B,D,F))) & r2_tarski(F,C) ) ) ) )).
fof(fraenkel_a_4_9_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k6_nat_lat,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,C))) & m2_subset_1(E,k4_ordinal1,k6_nat_lat) ) => ( r2_hidden(A,a_4_9_srings_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,C) & A = F & r2_tarski(F,k1_xboole_0) & r1_tarski(F,k3_card_3(k5_relset_1(k6_nat_lat,C,D,k2_finseq_1(E)))) ) ) ) )).
fof(fraenkel_a_4_9_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & ~ v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_4_9_srings_2(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,E) & A = k2_zfmisc_1(F,D) ) ) ) )).
fof(fraenkel_a_4_9_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v1_yellow_0(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_9_waybel17(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & A = k1_funct_1(D,F) & r1_waybel_3(B,F,E) ) ) ) )).
fof(fraenkel_a_4_9_waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(u1_struct_0(B),C)))) & m1_subset_1(E,u1_struct_0(B)) ) => ( r2_hidden(A,a_4_9_waybel24(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) & A = k1_funct_1(F,E) & r2_tarski(F,D) ) ) ) )).
fof(fraenkel_a_4_9_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( r2_hidden(A,a_4_9_yellow_9(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & A = k8_relat_1(D,k3_subset_1(u1_struct_0(C),F)) & r2_tarski(F,E) ) ) ) )).
fof(fraenkel_a_5_0_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) & m2_subset_1(F,B,D) ) => ( r2_hidden(A,a_5_0_abian(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & k1_funct_1(k1_abian(B,C,G),F) = E ) ) ) )).
fof(fraenkel_a_5_0_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v13_aofa_a00(B) & v16_aofa_a00(B) & v18_aofa_a00(B,4,1) & v21_aofa_a00(B,1,1,11) & v23_aofa_a00(B,11) & l6_aofa_a00(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v4_msualg_1(D,B) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & v6_aofa_a01(D,B) & l1_aofa_a00(D,B) & v4_aofa_a01(E,B,C,D) & l4_aofa_a00(E,B,C,D) & v19_aofa_a00(F,B) & m1_subset_1(F,u1_struct_0(B)) ) => ( r2_hidden(A,a_5_0_aofa_a01(B,C,D,E,F)) <=> ? [G] : ? [H] : ( v3_aofa_a01(G,B,C,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B)) & m1_msafree4(G,u1_struct_0(B),u4_aofa_a00(B,C,D,E),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,E),k36_aofa_a00(B))) & m1_subset_1(H,k1_funct_1(u3_msualg_1(B,D),F)) & A = k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),G),F,H) ) ) ) )).
fof(fraenkel_a_5_0_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & v2_aofa_i00(B) & l1_unialg_1(B) & ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(D,C) & v1_aofa_i00(E,B,C,k1_aofa_i00(k9_funct_2(C,k4_numbers),D,k5_numbers)) & m1_aofa_000(E,B,k9_funct_2(C,k4_numbers),k1_aofa_i00(k9_funct_2(C,k4_numbers),D,k5_numbers)) & m1_aofa_i00(F,C,u1_struct_0(B),k9_funct_2(C,k4_numbers),E) ) => ( r2_hidden(A,a_5_0_aofa_i00(B,C,D,E,F)) <=> ? [G] : ( m2_funct_2(G,C,k4_numbers,k9_funct_2(C,k4_numbers)) & A = G & r1_xxreal_0(k5_numbers,k21_aofa_i00(C,k4_numbers,G,F)) ) ) ) )).
fof(fraenkel_a_5_0_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k6_card_fil(B)) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_0_card_fil(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,D) & A = G & k1_funct_1(k1_funct_1(C,G),E) = F ) ) ) )).
fof(fraenkel_a_5_0_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_5_0_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F)))) & A = G & k4_card_1(k8_relset_1(k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F),G,k1_tarski(E))) = k1_nat_1(C,1) & k1_funct_1(G,D) = E ) ) ) )).
fof(fraenkel_a_5_0_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v8_cat_6(D) & v9_cat_6(D) & v10_cat_6(D) & l1_cat_6(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( r2_hidden(A,a_5_0_cat_7(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,k1_cat_6(C)) & m1_subset_1(H,k1_cat_6(D)) & A = k4_tarski(G,H) & r2_tarski(G,u1_struct_0(C)) & r2_tarski(H,u1_struct_0(D)) & k10_cat_6(C,B,E,G) = k10_cat_6(D,B,F,H) ) ) ) )).
fof(fraenkel_a_5_0_circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(E) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_0_circled1(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(B)) & m1_subset_1(H,u1_struct_0(B)) & A = k3_rlvect_1(B,G,H) & r2_tarski(G,k1_convex1(B,C,E)) & r2_tarski(H,k1_convex1(B,D,F)) ) ) ) )).
fof(fraenkel_a_5_0_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_pboole(D,B,k5_mssubfam(B,C)) & ~ v1_xboole_0(F) ) => ( r2_hidden(A,a_5_0_closure1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,F) & A = G & r1_tarski(k1_funct_1(D,E),G) ) ) ) )).
fof(fraenkel_a_5_0_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_struct_0(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)) & v7_closure2(D,u1_struct_0(B),C) & v8_closure2(D,u1_struct_0(B),C) & v9_closure2(D,u1_struct_0(B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(u1_struct_0(B),C),k6_closure2(u1_struct_0(B),C)))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D))))) ) => ( r2_hidden(A,a_5_0_closure2(B,C,D,E,F)) <=> ? [G] : ( m1_closure2(G,u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)),k6_closure2(u1_struct_0(B),u3_msualg_1(B,k10_closure2(B,C,D)))) & A = k1_funct_1(G,F) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_5_0_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,C))) & m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) ) => ( r2_hidden(A,a_5_0_closure3(B,C,D,E,F)) <=> ? [G] : ( m1_closure2(G,B,C,k6_closure2(B,C)) & A = k1_funct_1(G,F) & r2_tarski(G,k3_closure3(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_5_0_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) & m2_cat_1(E,B,D) & m2_cat_1(F,C,D) ) => ( r2_hidden(A,a_5_0_commacat(B,C,D,E,F)) <=> ? [G] : ? [H] : ? [I] : ( m1_subset_1(G,u1_struct_0(B)) & m1_subset_1(H,u1_struct_0(C)) & m1_subset_1(I,u4_struct_0(D)) & A = k1_domain_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u4_struct_0(D),k1_domain_1(u1_struct_0(B),u1_struct_0(C),G,H),I) & r2_tarski(I,k2_cat_1(D,k8_cat_1(B,D,E,G),k8_cat_1(C,D,F,H))) ) ) ) )).
fof(fraenkel_a_5_0_compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & ~ v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(B,C,D))))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(B,C,D))))))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_0_compl_sp(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(B,C,D)))),E,G) & r1_xxreal_0(F,G) ) ) ) )).
fof(fraenkel_a_5_0_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,k1_zfmisc_1(u4_struct_0(C))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_5_0_conlat_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,G) & r2_tarski(G,u2_conlat_1(C,g2_conlat_1(C,F,E))) ) ) ) )).
fof(fraenkel_a_5_0_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(E) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_0_convex1(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(B)) & m1_subset_1(H,u1_struct_0(B)) & A = k3_rlvect_1(B,G,H) & r2_tarski(G,k1_convex1(B,C,E)) & r2_tarski(H,k1_convex1(B,D,F)) ) ) ) )).
fof(fraenkel_a_5_0_convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m2_convex4(F,B,k8_domain_1(u1_struct_0(B),C,D,E)) ) => ( r2_hidden(A,a_5_0_convex4(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = G & k3_funct_2(u1_struct_0(B),k2_numbers,F,G) != k5_numbers ) ) ) )).
fof(fraenkel_a_5_0_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_qc_lang1(B) & v7_ordinal1(C) & v3_card_1(D,C) & m2_finseq_1(D,k2_qc_lang1(B)) & m2_subset_1(E,k2_qc_lang1(B),k5_qc_lang1(B)) & m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) ) => ( r2_hidden(A,a_5_0_cqc_the3(B,C,D,E,F)) <=> ? [G] : ( v7_ordinal1(G) & A = k1_funct_1(k1_cqc_lang(B,D,k2_cqc_lang(B,E,F)),G) & r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(k1_cqc_lang(B,D,k2_cqc_lang(B,E,F)))) & r2_tarski(k1_funct_1(k1_cqc_lang(B,D,k2_cqc_lang(B,E,F)),G),k3_qc_lang1(B)) ) ) ) )).
fof(fraenkel_a_5_0_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)))) ) => ( r2_hidden(A,a_5_0_finance1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & r1_xxreal_0(k5_numbers,k11_finance1(D,E,B,C,k6_finance1(B,k1_numbers,C,k12_prob_1),F,G)) ) ) ) )).
fof(fraenkel_a_5_0_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_partfun1(E,C) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,C))) & v1_relat_1(F) ) => ( r2_hidden(A,a_5_0_fomodel3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_bvfunc_1(G,B,k8_eqrel_1(B,D)) & m1_bvfunc_1(H,C,k8_eqrel_1(C,E)) & A = k1_domain_1(k8_eqrel_1(B,D),k8_eqrel_1(C,E),G,H) & ? [I] : ? [J] : ( r2_tarski(I,G) & r2_tarski(J,H) & r2_hidden(k4_tarski(I,J),F) ) ) ) ) )).
fof(fraenkel_a_5_0_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_0_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E)),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_0_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_0_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(F),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(E)) ) ) ) )).
fof(fraenkel_a_5_0_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_graph_1(B) & l1_graph_1(B) & v2_funct_1(C) & v1_msscyc_1(C,B) & m2_graph_1(C,B) & m2_finseq_1(D,u1_struct_0(B)) & ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & v1_finset_1(F) ) => ( r2_hidden(A,a_5_0_graph_3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,k2_zfmisc_1(2,F)) & m1_subset_1(H,E) & A = k4_tarski(G,H) & ? [I] : ( m1_subset_1(I,k4_ordinal1) & r1_xxreal_0(1,I) & r1_xxreal_0(I,k3_finseq_1(C)) & ( ( G = k4_tarski(k5_numbers,I) & ~ ( ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r1_xxreal_0(1,J) & I = k1_nat_1(J,1) & ( ( k1_funct_1(D,I) = k1_funct_1(u2_graph_1(B),k1_funct_1(C,J)) & H = k4_tarski(k5_numbers,k1_funct_1(C,J)) ) | ( k1_funct_1(D,I) = k1_funct_1(u1_graph_1(B),k1_funct_1(C,J)) & H = k4_tarski(1,k1_funct_1(C,J)) & k1_funct_1(u2_graph_1(B),k1_funct_1(C,J)) != k1_funct_1(u1_graph_1(B),k1_funct_1(C,J)) ) ) ) ) & ~ ( I = 1 & ( ( k1_funct_1(D,1) = k1_funct_1(u2_graph_1(B),k1_funct_1(C,k3_finseq_1(C))) & H = k4_tarski(k5_numbers,k1_funct_1(C,k3_finseq_1(C))) ) | ( k1_funct_1(D,1) = k1_funct_1(u1_graph_1(B),k1_funct_1(C,k3_finseq_1(C))) & H = k4_tarski(1,k1_funct_1(C,k3_finseq_1(C))) & k1_funct_1(u2_graph_1(B),k1_funct_1(C,k3_finseq_1(C))) != k1_funct_1(u1_graph_1(B),k1_funct_1(C,k3_finseq_1(C))) ) ) ) ) ) | ( G = k4_tarski(1,I) & ( ( k1_funct_1(D,I) = k1_funct_1(u1_graph_1(B),k1_funct_1(C,I)) & H = k4_tarski(1,k1_funct_1(C,I)) ) | ( k1_funct_1(D,I) = k1_funct_1(u2_graph_1(B),k1_funct_1(C,I)) & H = k4_tarski(k5_numbers,k1_funct_1(C,I)) & k1_funct_1(u2_graph_1(B),k1_funct_1(C,I)) != k1_funct_1(u1_graph_1(B),k1_funct_1(C,I)) ) ) ) ) ) ) ) ) )).
fof(fraenkel_a_5_0_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_5_0_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom7(G,B,D) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & ~ r10_polyred(B,C,D,G,F) ) ) ) )).
fof(fraenkel_a_5_0_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,B) & l1_group_9(D,B) & v15_algstr_0(E) & m1_group_2(E,C) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(F,C,D) & v7_group_9(F,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( r2_hidden(A,a_5_0_group_9(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k3_funct_2(u1_struct_0(C),u1_struct_0(D),F,G) & r1_struct_0(E,G) ) ) ) )).
fof(fraenkel_a_5_0_hahnban,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & v1_hahnban(E,B) & v4_hahnban(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),k1_numbers) & v2_hahnban(F,C) & v3_hahnban(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_numbers))) ) => ( r2_hidden(A,a_5_0_hahnban(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(B)) & A = k5_real_1(k3_funct_2(u1_struct_0(C),k1_numbers,F,G),k3_funct_2(u1_struct_0(B),k1_numbers,E,k5_algstr_0(B,H,D))) & G = H ) ) ) )).
fof(fraenkel_a_5_0_heine,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_ordinal1) & v5_valued_0(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m1_subset_1(F,k4_ordinal1) ) => ( r2_hidden(A,a_5_0_heine(B,C,D,E,F)) <=> ? [G] : ( v1_xreal_0(G) & A = G & r1_xxreal_0(k6_xcmplx_0(k8_nat_1(k1_numbers,D,F),k3_xcmplx_0(k6_xcmplx_0(C,B),k5_xcmplx_0(k11_newton(2,k1_nat_1(k1_recdef_1(E,F),1))))),G) & r1_xxreal_0(G,k2_xcmplx_0(k8_nat_1(k1_numbers,D,F),k3_xcmplx_0(k6_xcmplx_0(C,B),k5_xcmplx_0(k11_newton(2,k1_nat_1(k1_recdef_1(E,F),1)))))) ) ) ) )).
fof(fraenkel_a_5_0_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(F,k4_partfun1(D,E)) ) => ( r2_hidden(A,a_5_0_heyting2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_partfun1(B,C)) & A = k6_subset_1(k1_funct_1(F,G),G) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_0_heyting3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(B,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,D))) ) => ( r2_hidden(A,a_5_0_heyting3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_partfun1(B,C)) & A = k6_subset_1(k1_funct_1(F,G),G) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_5_0_interva1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_5_0_interva1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) & A = G & r1_tarski(k9_subset_1(B,C,E),G) & r1_tarski(G,k9_subset_1(B,D,F)) ) ) ) )).
fof(fraenkel_a_5_0_jordan16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_0_jordan16(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & r1_jordan5c(B,C,D,E,G) & r1_jordan5c(B,C,D,G,F) ) ) ) )).
fof(fraenkel_a_5_0_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_0_jordan1d(B,C,D,E,F)) <=> ? [G] : ? [H] : ( v7_ordinal1(G) & v7_ordinal1(H) & A = k3_goboard5(k1_jordan8(E,k2_xcmplx_0(B,F)),G,H) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,F),C),k11_newton(2,k1_nat_1(F,1))),2),G) & r1_xxreal_0(G,k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,F),C),k1_newton(2,F)),1)) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,F),D),k11_newton(2,k1_nat_1(F,1))),2),H) & r1_xxreal_0(H,k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,F),D),k1_newton(2,F)),1)) ) ) ) )).
fof(fraenkel_a_5_0_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_0_jordan20(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & r1_jordan5c(B,C,D,E,G) & r1_jordan5c(B,C,D,G,F) ) ) ) )).
fof(fraenkel_a_5_0_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(k14_euclid(B))) & m1_subset_1(F,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_5_0_jordan2b(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(B))) & A = G & ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(D,k7_partfun1(k1_numbers,F,C)),2),k3_metric_1(k14_euclid(B),E,G)) ) ) ) )).
fof(fraenkel_a_5_0_jordan6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_0_jordan6(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & r1_jordan5c(B,C,D,E,G) & r1_jordan5c(B,C,D,G,F) ) ) ) )).
fof(fraenkel_a_5_0_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v12_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_matrix_1(D,k9_matrix_1(k1_nat_1(B,2))) & m1_subset_1(E,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))))) & m1_matrix_1(F,k9_matrix_1(k1_nat_1(B,2))) ) => ( r2_hidden(A,a_5_0_laplace(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k2_sgraph1(k2_finseq_1(k1_nat_1(B,2)))) & A = G & r2_tarski(G,E) & k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,D),G) != k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,F),G) ) ) ) )).
fof(fraenkel_a_5_0_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),B))) & v1_partfun1(D,B) & v1_relat_2(D) & v4_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,u1_struct_0(g1_orders_2(B,D))) ) => ( r2_hidden(A,a_5_0_lattice3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k1_funct_1(C,k2_tarski(G,F)) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_5_0_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_0_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,B,C,E,G),k8_lfuzzy_0(B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)),D)),G,F)) ) ) ) )).
fof(fraenkel_a_5_0_lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v2_xxreal_0(F) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_0_lpspace2(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & A = G & r2_tarski(G,k1_lpspace2(B,C,D,F)) & r1_lpspace1(B,C,D,E,G) ) ) ) )).
fof(fraenkel_a_5_0_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & m1_subset_1(D,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))))) & m1_matrix_1(E,k9_matrix_1(k1_nat_1(B,2))) & m1_matrix_1(F,k9_matrix_1(k1_nat_1(B,2))) ) => ( r2_hidden(A,a_5_0_matrix11(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k2_sgraph1(k2_finseq_1(k1_nat_1(B,2)))) & A = G & r2_tarski(G,D) & k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,E),G) != k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,F),G) ) ) ) )).
fof(fraenkel_a_5_0_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),B,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_5_0_matrtop1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(C))) & A = k1_algstr_0(k15_euclid(C),k3_funct_2(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(C)),k3_matrtop1(B,C,E),D),G) & r2_tarski(G,k2_ranknull(k15_euclid(B),k15_euclid(C),k3_matrtop1(B,C,E),F)) ) ) ) )).
fof(fraenkel_a_5_0_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & m1_subset_1(D,u4_struct_0(C)) & v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,u1_struct_0(C)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(C)) & m1_msafree4(F,k3_finseq_2(u1_struct_0(C)),k6_finseq_2(u1_struct_0(C),u3_msualg_1(C,k1_msafree3(C,E))),k3_msualg_1(C,D,k1_msafree3(C,E))) ) => ( r2_hidden(A,a_5_0_msafree5(B,C,D,E,F)) <=> ? [G] : ( v7_ordinal1(G) & A = k2_msafree5(k8_relat_1(k1_funct_1(F,k2_xcmplx_0(G,1)),B),k14_trees_3(G)) & ~ r1_xxreal_0(k3_finseq_1(F),G) ) ) ) )).
fof(fraenkel_a_5_0_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u4_struct_0(B)) ) => ( r2_hidden(A,a_5_0_msscyc_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k13_finseq_1(k1_msaterm(B,C))) & A = k4_trees_4(k4_tarski(F,u1_struct_0(B)),G) & m1_msaterm(G,B,C,k2_msaterm(B,C,F)) & ? [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & k8_msafree2(B,C,E,H) = k1_nat_1(D,1) & H = k4_trees_4(k4_tarski(F,u1_struct_0(B)),G) ) ) ) ) )).
fof(fraenkel_a_5_0_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C))))) & m1_subset_1(E,u4_struct_0(B)) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_0_msualg_9(B,C,D,E,F)) <=> ? [G] : ( m1_closure2(G,u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)),k6_closure2(u1_struct_0(B),k6_pboole(u1_struct_0(B),u3_msualg_1(B,C),u3_msualg_1(B,C)))) & A = k1_funct_1(G,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,E),F)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_0_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(F,u1_struct_0(B)) ) => ( r2_hidden(A,a_5_0_nagata_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & A = G & r2_tarski(G,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & ~ r1_xboole_0(G,k3_funct_2(u1_struct_0(B),k9_setfam_1(u1_struct_0(B)),E,F)) ) ) ) )).
fof(fraenkel_a_5_0_ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_0_ncfcont1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & ~ r1_xxreal_0(F,k2_normsp_0(C,k5_algstr_0(C,G,k7_partfun1(u1_struct_0(C),D,E)))) ) ) ) )).
fof(fraenkel_a_5_0_nfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_0_nfcont_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & ~ r1_xxreal_0(F,k2_normsp_0(C,k5_algstr_0(C,G,k7_partfun1(u1_struct_0(C),D,E)))) ) ) ) )).
fof(fraenkel_a_5_0_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & v1_relat_1(E) & ~ v2_struct_0(F) & v6_metric_1(F) & v7_metric_1(F) & v8_metric_1(F) & v9_metric_1(F) & l1_metric_1(F) ) => ( r2_hidden(A,a_5_0_pcomps_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(F))) & A = k3_tarski(a_4_0_pcomps_2(B,E,F,G)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_0_polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & v1_algstr_1(D) & l6_algstr_0(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ( r2_hidden(A,a_5_0_polyred(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & ~ r1_rewrite1(k3_polyred(B,C,D,E),k11_polynom1(B,D,G,F),k8_polynom1(B,D)) ) ) ) )).
fof(fraenkel_a_5_0_pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & m1_pralg_2(D,B,C) & v3_relat_2(E) & v8_relat_2(E) & v1_partfun1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m1_subset_1(F,u4_struct_0(C)) ) => ( r2_hidden(A,a_5_0_pralg_3(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,k1_zfmisc_1(B),k8_eqrel_1(B,E)) & A = k4_msualg_1(C,F,k5_pralg_2(k8_eqrel_1(B,E),C,k4_pralg_3(k8_eqrel_1(B,E),C,k6_partfun1(k8_eqrel_1(B,E)),k3_pralg_3(B,C,D,E)),G)) ) ) ) )).
fof(fraenkel_a_5_0_qc_trans,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_qc_lang1(B) & v1_qc_trans(C,B) & m1_qc_lang1(C) & m2_subset_1(D,k9_qc_lang1(C),k3_cqc_lang(C)) & m1_subset_1(E,k1_substut1(C)) & m2_subset_1(F,k2_qc_lang1(C),k3_qc_lang1(C)) ) => ( r2_hidden(A,a_5_0_qc_trans(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,k2_qc_lang1(C),k3_qc_lang1(C)) & A = G & r2_tarski(G,k24_qc_lang1(C,D)) & m1_subset_1(G,k9_xtuple_0(E)) & G != F & G != k1_funct_1(E,G) ) ) ) )).
fof(fraenkel_a_5_0_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,k9_setfam_1(D),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(D),D))) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(D))) ) => ( r2_hidden(A,a_5_0_quantal1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,G) & r2_tarski(G,k7_relset_1(k9_setfam_1(D),D,E,F)) ) ) ) )).
fof(fraenkel_a_5_0_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,C) & m1_subset_1(F,k1_zfmisc_1(k6_subset_1(C,k1_tarski(E)))) ) => ( r2_hidden(A,a_5_0_ramsey_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & ~ r1_xxreal_0(G,D) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_0_random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_prob_1(D,B,C) & v1_xreal_0(E) & m1_random_1(F,B,C) ) => ( r2_hidden(A,a_5_0_random_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(k12_supinf_2(F,G),k8_random_1(B,C,D,F)))) ) ) ) )).
fof(fraenkel_a_5_0_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & v1_prob_1(E,C) & v4_prob_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v1_funct_1(F) & v1_funct_2(F,B,C) & v1_random_3(F,B,C,D,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,a_5_0_random_3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) & A = G & ? [H] : ( m2_subset_1(H,k1_zfmisc_1(C),E) & G = k8_relset_1(B,C,F,H) ) ) ) ) )).
fof(fraenkel_a_5_0_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & ~ v2_struct_0(D) & l1_rewrite3(D,C) ) => ( r2_hidden(A,a_5_0_rewrite3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(D)) & A = G & ? [H] : ( m1_subset_1(H,u1_struct_0(D)) & r2_tarski(H,F) & r4_rewrite3(B,C,D,H,E,G) ) ) ) ) )).
fof(fraenkel_a_5_0_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m2_rlaffin3(F,k15_euclid(B),D) ) => ( r2_hidden(A,a_5_0_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(B))) & A = G & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),D,F,G)),E) ) ) ) )).
fof(fraenkel_a_5_0_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) & m1_rmod_2(F,B,C) ) => ( r2_hidden(A,a_5_0_rmod_3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(k1_rmod_3(B,C,D,E),H) & r1_struct_0(F,G) ) ) ) )).
fof(fraenkel_a_5_0_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_sgraph1(C,B) & v1_finset_1(E) & ~ v1_xboole_0(F) ) => ( r2_hidden(A,a_5_0_sgraph1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,F) & A = G & r2_tarski(G,E) & r2_tarski(k2_tarski(D,G),u1_sgraph1(C)) ) ) ) )).
fof(fraenkel_a_5_0_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & l1_rlvect_1(D) & v1_finset_1(E) & v1_rlaffin1(E,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) & m3_simplex0(F,k5_simplex1(C,D,k5_simplex0(u1_struct_0(D),k6_domain_1(k1_zfmisc_1(u1_struct_0(D)),E))),k6_xcmplx_0(B,1)) ) => ( r2_hidden(A,a_5_0_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k5_simplex1(C,D,k5_simplex0(u1_struct_0(D),k6_domain_1(k1_zfmisc_1(u1_struct_0(D)),E))),B) & A = G & r1_tarski(F,G) ) ) ) )).
fof(fraenkel_a_5_0_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v1_rlaffin1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_rlaffin3(D,k15_euclid(B),C) & m1_subset_1(F,k4_ordinal1) ) => ( r2_hidden(A,a_5_0_simplex2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = k3_convex1(k15_euclid(B),k7_subset_1(u1_struct_0(k15_euclid(B)),C,k1_tarski(k1_funct_1(D,G)))) & r2_tarski(G,k7_subset_1(k4_ordinal1,k4_finseq_1(D),k2_xboole_0(E,k6_domain_1(k4_ordinal1,F)))) ) ) ) )).
fof(fraenkel_a_5_0_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) & m1_subset_1(F,D) ) => ( r2_hidden(A,a_5_0_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,E) & r1_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_0_topgen_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & l1_pre_topc(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_5_0_topgen_3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(D))) & A = G & r2_tarski(G,C) & r1_tarski(G,k9_subset_1(u1_struct_0(D),E,F)) ) ) ) )).
fof(fraenkel_a_5_0_topmetr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k3_pcomps_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k3_pcomps_1(B))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & v1_xreal_0(E) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_0_topmetr3(B,C,D,E,F)) <=> ? [G] : ( v1_xreal_0(G) & A = G & r1_xxreal_0(E,G) & r1_xxreal_0(G,F) & r2_tarski(k1_funct_1(C,G),D) ) ) ) )).
fof(fraenkel_a_5_0_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_qc_lang1(B) & ~ v1_xboole_0(C) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & m2_funct_2(E,k2_valuat_1(B,C),k5_margrel1,k9_funct_2(k2_valuat_1(B,C),k5_margrel1)) & m2_funct_2(F,k3_qc_lang1(B),C,k2_valuat_1(B,C)) ) => ( r2_hidden(A,a_5_0_valuat_1(B,C,D,E,F)) <=> ? [G] : ( m2_funct_2(G,k3_qc_lang1(B),C,k2_valuat_1(B,C)) & A = k3_funct_2(k2_valuat_1(B,C),k5_margrel1,E,G) & ! [H] : ( m2_subset_1(H,k2_qc_lang1(B),k3_qc_lang1(B)) => ( D != H => k3_funct_2(k3_qc_lang1(B),C,G,H) = k3_funct_2(k3_qc_lang1(B),C,F,H) ) ) ) ) ) )).
fof(fraenkel_a_5_0_vectsp_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(C)) & m1_vectsp_4(F,B,C) ) => ( r2_hidden(A,a_5_0_vectsp_4(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k3_rlvect_1(C,k3_vectsp_1(B,C,D,E),G) & r1_struct_0(F,G) ) ) ) )).
fof(fraenkel_a_5_0_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) & m1_vectsp_4(F,B,C) ) => ( r2_hidden(A,a_5_0_vectsp_5(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(k1_vectsp_5(B,C,D,E),H) & r1_struct_0(F,G) ) ) ) )).
fof(fraenkel_a_5_0_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) ) => ( r2_hidden(A,a_5_0_waybel17(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,D,E))) & A = k2_waybel_0(C,k6_waybel_9(B,C,D,E),G) & r1_orders_2(k6_waybel_9(B,C,D,E),F,G) ) ) ) )).
fof(fraenkel_a_5_0_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_yellow_0(C) & l1_orders_2(C) & v2_pre_topc(D) & v1_waybel19(D) & m1_yellow_9(D,B) & v1_tops_2(E,D) & v2_cantor_1(E,D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) & v2_pre_topc(F) & v1_waybel19(F) & m1_yellow_9(F,C) ) => ( r2_hidden(A,a_5_0_waybel19(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(D))) & A = k2_zfmisc_1(G,u1_struct_0(F)) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_5_0_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v25_waybel_0(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & v2_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,E,k3_yellow_9(B,D)))) ) => ( r2_hidden(A,a_5_0_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,E,k3_yellow_9(B,D)))) & A = k2_waybel_0(C,k6_waybel_9(B,C,E,k3_yellow_9(B,D)),G) & r1_orders_2(k6_waybel_9(B,C,E,k3_yellow_9(B,D)),F,G) ) ) ) )).
fof(fraenkel_a_5_0_waybel29,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_waybel_3(C) & v1_yellow16(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) & m1_subset_1(E,B) & ~ v1_xboole_0(F) & v1_waybel_0(F,k2_yellow16(B,C,E)) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k2_yellow16(B,C,E)))) ) => ( r2_hidden(A,a_5_0_waybel29(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k2_yellow16(B,C,E))) & A = k1_funct_7(D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_0_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_yellow_1(C) & v4_waybel_3(C) & v5_waybel_3(C) & m1_subset_1(D,u1_struct_0(k4_yellow_1(B,C))) & m1_subset_1(E,B) & ~ v1_xboole_0(F) & v1_waybel_0(F,k3_waybel_3(B,C,E)) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_waybel_3(B,C,E)))) ) => ( r2_hidden(A,a_5_0_waybel_3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k3_waybel_3(B,C,E))) & A = k1_funct_7(D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_0_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v18_waybel_0(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) & ~ v1_xboole_0(F) & v1_waybel_0(F,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_0_waybel_6(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k12_lattice3(C,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E),G) & r2_tarski(G,k7_relset_1(u1_struct_0(B),u1_struct_0(C),D,F)) ) ) ) )).
fof(fraenkel_a_5_0_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & m4_yellow_6(C,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,k12_yellow_6(B,C)) & m2_yellow_6(E,k12_yellow_6(B,C),D) & m1_subset_1(F,u1_struct_0(E)) ) => ( r2_hidden(A,a_5_0_yellow_6(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(E)) & A = k2_waybel_0(k12_yellow_6(B,C),E,G) & r1_orders_2(E,F,G) ) ) ) )).
fof(fraenkel_a_5_0_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_5_0_yellow_9(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & A = k8_relset_1(u1_struct_0(B),u1_struct_0(C),E,G) & r2_tarski(G,D) & r1_tarski(G,k3_subset_1(u1_struct_0(C),F)) ) ) ) )).
fof(fraenkel_a_5_0_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,k4_ordinal1) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ( r2_hidden(A,a_5_0_zf_fund1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & r2_tarski(G,k1_funct_2(k7_subset_1(k4_ordinal1,F,k6_domain_1(k4_ordinal1,E)),C)) & ? [H] : r2_tarski(k2_xboole_0(k1_tarski(k4_tarski(E,H)),G),D) ) ) ) )).
fof(fraenkel_a_5_0_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_0_zf_fund2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(k2_xboole_0(k1_tarski(k4_tarski(D,G)),F),E) ) ) ) )).
fof(fraenkel_a_5_10_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_10_dickson(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & A = a_5_9_dickson(B,C,D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_10_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_5_10_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & ? [H] : ( v1_relat_1(H) & v4_relat_1(H,B) & v1_funct_1(H) & v1_partfun1(H,B) & v4_valued_0(H) & v2_pre_poly(H) & H = F & r2_tarski(G,E) & k5_termord(B,C,D,G) = k1_polynom7(B,D,k5_struct_0(D),H) & G != k8_polynom1(B,D) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(I,D) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ~ ( r2_tarski(I,E) & r2_polyred(B,C,D,I,G) & I != k8_polynom1(B,D) & k5_termord(B,C,D,I) = k1_polynom7(B,D,k5_struct_0(D),H) ) ) ) ) ) ) )).
fof(fraenkel_a_5_10_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_10_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_2_lfuzzy_1(B,C,D,E,F,G)) ) ) ) )).
fof(fraenkel_a_5_10_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m2_rlaffin3(F,k15_euclid(B),D) ) => ( r2_hidden(A,a_5_10_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k1_pre_topc(k15_euclid(B),k4_rlaffin1(k15_euclid(B),D)))) & A = G & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),D,F,G)),k3_subset_1(u1_struct_0(k15_euclid(C)),E)) ) ) ) )).
fof(fraenkel_a_5_10_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v2_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) & m1_subset_1(F,k10_xtuple_0(D)) ) => ( r2_hidden(A,a_5_10_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,E) & r1_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_10_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(E)) ) => ( r2_hidden(A,a_5_10_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(E)) & A = k1_funct_1(D,k2_waybel_0(B,E,G)) & r1_orders_2(E,F,G) ) ) ) )).
fof(fraenkel_a_5_11_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) ) => ( r2_hidden(A,a_5_11_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & ? [H] : ( v1_relat_1(H) & v4_relat_1(H,B) & v1_funct_1(H) & v1_partfun1(H,B) & v4_valued_0(H) & v2_pre_poly(H) & r6_pboole(B,H,F) & r2_tarski(G,E) & k5_termord(B,C,D,G) = k1_polynom7(B,D,k5_struct_0(D),H) & G != k8_polynom1(B,D) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(I,D) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ~ ( r2_tarski(I,E) & r2_polyred(B,C,D,I,G) & I != k8_polynom1(B,D) & k5_termord(B,C,D,I) = k1_polynom7(B,D,k5_struct_0(D),H) ) ) ) ) ) ) )).
fof(fraenkel_a_5_11_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_11_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_3_lfuzzy_1(B,C,D,E,F,G)) ) ) ) )).
fof(fraenkel_a_5_12_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_12_dickson(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,u1_struct_0(B),F) & A = G & ? [H] : ( m2_subset_1(H,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & H = G & ~ v1_finset_1(a_5_13_dickson(B,C,D,E,H)) ) ) ) ) )).
fof(fraenkel_a_5_12_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & v4_valued_0(F) & v2_pre_poly(F) ) => ( r2_hidden(A,a_5_12_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & k5_termord(B,C,D,G) = k1_polynom7(B,D,k5_struct_0(D),F) & G != k8_polynom1(B,D) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(H,D) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ~ ( r2_tarski(H,E) & r2_polyred(B,C,D,H,G) & H != k8_polynom1(B,D) & k5_termord(B,C,D,H) = k1_polynom7(B,D,k5_struct_0(D),F) ) ) ) ) ) )).
fof(fraenkel_a_5_12_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_12_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_13_lfuzzy_1(B,C,E,F,G)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_13_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & m2_subset_1(F,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_5_13_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & r1_orders_2(B,F,k8_nat_1(u1_struct_0(B),C,G)) & ~ r1_xxreal_0(G,k1_funct_1(D,E)) ) ) ) )).
fof(fraenkel_a_5_13_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) ) => ( r2_hidden(A,a_5_13_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k9_lfuzzy_0(k2_zfmisc_1(B,B),F,k1_domain_1(B,B,D,G)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,G,E))) ) ) ) )).
fof(fraenkel_a_5_14_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_14_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k2_relset_1(u1_struct_0(B),C)) & A = a_5_15_dickson(B,C,D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_14_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_14_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_15_lfuzzy_1(B,C,E,F,G)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_15_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & m1_subset_1(F,k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_5_15_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & r1_orders_2(B,F,k8_nat_1(u1_struct_0(B),C,G)) & ~ r1_xxreal_0(G,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_5_15_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) ) => ( r2_hidden(A,a_5_15_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,B),k5_lfuzzy_0(k2_zfmisc_1(B,B),F),k1_domain_1(B,B,D,G)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,G,E))) ) ) ) )).
fof(fraenkel_a_5_16_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_16_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k2_relset_1(u1_struct_0(B),C)) & A = a_5_17_dickson(B,C,D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_16_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_16_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k7_lfuzzy_0(k2_zfmisc_1(B,B),k3_fuzzy_4(B,B,B,k5_lfuzzy_0(k2_zfmisc_1(B,B),G),C),k1_domain_1(B,B,E,F)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_17_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & m1_subset_1(F,k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_5_17_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & r1_orders_2(B,F,k8_nat_1(u1_struct_0(B),C,G)) & ~ r1_xxreal_0(G,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_5_17_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_17_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,B),k5_lfuzzy_0(k2_zfmisc_1(B,B),k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)),D)),k1_domain_1(B,B,E,G)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,G,F))) ) ) ) )).
fof(fraenkel_a_5_1_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) & m2_subset_1(F,B,D) ) => ( r2_hidden(A,a_5_1_abian(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & k3_funct_2(B,B,k1_abian(B,C,G),F) = E ) ) ) )).
fof(fraenkel_a_5_1_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k6_card_fil(B)) & m1_subset_1(F,D) ) => ( r2_hidden(A,a_5_1_card_fil(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,D) & A = G & k1_funct_1(k1_funct_1(C,G),E) = k1_funct_1(k1_funct_1(C,F),E) ) ) ) )).
fof(fraenkel_a_5_1_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_5_1_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F)))) & A = G & k4_card_1(k8_relset_1(k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F),G,k1_tarski(E))) = C & k1_funct_1(G,D) = F ) ) ) )).
fof(fraenkel_a_5_1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_struct_0(B) & v9_closure1(C,B) & l1_closure1(C,B) & ~ v1_xboole_0(E) & m1_pboole(F,u1_struct_0(B),k5_mssubfam(u1_struct_0(B),u3_msualg_1(B,C))) ) => ( r2_hidden(A,a_5_1_closure1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,E) & A = G & r1_tarski(k1_funct_1(F,D),G) ) ) ) )).
fof(fraenkel_a_5_1_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,C))) & m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) ) => ( r2_hidden(A,a_5_1_closure3(B,C,D,E,F)) <=> ? [G] : ( m1_closure2(G,B,C,k6_closure2(B,C)) & A = k1_funct_1(G,F) & r2_tarski(G,k4_closure3(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_5_1_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) & m2_cat_1(E,B,D) & m2_cat_1(F,C,D) ) => ( r2_hidden(A,a_5_1_commacat(B,C,D,E,F)) <=> ? [G] : ? [H] : ? [I] : ? [J] : ( m1_subset_1(G,u4_struct_0(B)) & m1_subset_1(H,u4_struct_0(C)) & m2_subset_1(I,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u4_struct_0(D)),k1_commacat(B,C,D,E,F)) & m2_subset_1(J,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u4_struct_0(D)),k1_commacat(B,C,D,E,F)) & A = k1_domain_1(k2_zfmisc_1(k1_commacat(B,C,D,E,F),k1_commacat(B,C,D,E,F)),k2_zfmisc_1(u4_struct_0(B),u4_struct_0(C)),k1_domain_1(k1_commacat(B,C,D,E,F),k1_commacat(B,C,D,E,F),I,J),k1_domain_1(u4_struct_0(B),u4_struct_0(C),G,H)) & k3_graph_1(B,G) = k14_domain_1(u1_struct_0(B),u1_struct_0(C),u4_struct_0(D),I) & k4_graph_1(B,G) = k14_domain_1(u1_struct_0(B),u1_struct_0(C),u4_struct_0(D),J) & k3_graph_1(C,H) = k15_domain_1(u1_struct_0(B),u1_struct_0(C),u4_struct_0(D),I) & k4_graph_1(C,H) = k15_domain_1(u1_struct_0(B),u1_struct_0(C),u4_struct_0(D),J) & k1_cat_1(D,k3_funct_2(u4_struct_0(B),u4_struct_0(D),E,G),k3_domain_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u4_struct_0(D),J)) = k1_cat_1(D,k3_domain_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u4_struct_0(D),I),k3_funct_2(u4_struct_0(C),u4_struct_0(D),F,H)) ) ) ) )).
fof(fraenkel_a_5_1_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(k11_conlat_1(C))) ) => ( r2_hidden(A,a_5_1_conlat_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u4_struct_0(C)) & A = k3_funct_2(u4_struct_0(C),u1_struct_0(B),E,G) & r3_lattices(B,k15_lattice3(B,a_4_10_conlat_2(B,C,D,F)),k3_funct_2(u4_struct_0(C),u1_struct_0(B),E,G)) ) ) ) )).
fof(fraenkel_a_5_1_convex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m2_rlvect_2(F,B,k8_domain_1(u1_struct_0(B),C,D,E)) ) => ( r2_hidden(A,a_5_1_convex1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = G & k1_funct_1(F,G) != k5_numbers ) ) ) )).
fof(fraenkel_a_5_1_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_1_dickson(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,u1_struct_0(B),F) & A = G & ? [H] : ( m2_subset_1(H,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & H = G & ~ v1_finset_1(a_5_2_dickson(B,C,D,E,H)) ) ) ) ) )).
fof(fraenkel_a_5_1_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)))) ) => ( r2_hidden(A,a_5_1_finance1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & ~ r1_xxreal_0(k11_finance1(D,E,B,C,k6_finance1(B,k1_numbers,C,k12_prob_1),F,G),k5_numbers) ) ) ) )).
fof(fraenkel_a_5_1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v7_ordinal1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,E))) ) => ( r2_hidden(A,a_5_1_fomodel3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m2_finseq_2(G,B,k4_finseq_2(D,B)) & m2_finseq_2(H,E,k4_finseq_2(D,E)) & A = k1_domain_1(k4_finseq_2(D,B),k4_finseq_2(D,E),G,H) & r1_relset_1(k4_ordinal1,E,H,k4_relset_1(k4_ordinal1,B,B,E,G,F)) ) ) ) )).
fof(fraenkel_a_5_1_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_1_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(F),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(E)) ) ) ) )).
fof(fraenkel_a_5_1_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_1_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(E),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_1_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k15_pre_poly(B))) ) => ( r2_hidden(A,a_5_1_groeb_1(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & A = a_5_2_groeb_1(B,C,D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v2_group_9(D,B) & v4_group_9(D,B,C) & m1_group_9(D,B,C) & v1_group_3(E,D) & m1_group_2(E,D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_5_1_group_9(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(D)) & m1_subset_1(H,u1_struct_0(D)) & A = k6_algstr_0(D,G,H) & r2_tarski(G,F) & r2_tarski(H,k8_group_2(D,E)) ) ) ) )).
fof(fraenkel_a_5_1_hahnban,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_rlsub_1(C,B) & m1_subset_1(D,u1_struct_0(B)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & v1_hahnban(E,B) & v4_hahnban(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),k1_numbers) & v2_hahnban(F,C) & v3_hahnban(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_numbers))) ) => ( r2_hidden(A,a_5_1_hahnban(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(B)) & A = k3_real_1(k3_funct_2(u1_struct_0(C),k1_numbers,F,G),k3_funct_2(u1_struct_0(B),k1_numbers,E,k5_algstr_0(B,D,H))) & G = H ) ) ) )).
fof(fraenkel_a_5_1_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(B,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,E))) ) => ( r2_hidden(A,a_5_1_heyting2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_partfun1(B,C)) & A = k6_subset_1(k1_funct_1(F,G),G) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_5_1_interva1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) & A = G & r1_tarski(k4_subset_1(B,C,E),G) & r1_tarski(G,k4_subset_1(B,D,F)) ) ) ) )).
fof(fraenkel_a_5_1_jordan16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_1_jordan16(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & r1_jordan5c(B,C,D,F,G) & r1_jordan5c(B,C,D,G,E) ) ) ) )).
fof(fraenkel_a_5_1_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_1_jordan1d(B,C,D,E,F)) <=> ? [G] : ? [H] : ( v7_ordinal1(G) & v7_ordinal1(H) & A = k3_goboard5(k1_jordan8(E,k2_xcmplx_0(B,k1_nat_1(F,1))),G,H) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k1_nat_1(F,1)),C),k11_newton(2,k1_nat_1(k1_nat_1(F,1),1))),2),G) & r1_xxreal_0(G,k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k1_nat_1(F,1)),C),k1_newton(2,k1_nat_1(F,1))),1)) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k1_nat_1(F,1)),D),k11_newton(2,k1_nat_1(k1_nat_1(F,1),1))),2),H) & r1_xxreal_0(H,k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_newton(2,k1_nat_1(F,1)),D),k1_newton(2,k1_nat_1(F,1))),1)) ) ) ) )).
fof(fraenkel_a_5_1_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_1_jordan20(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & r1_jordan5c(B,C,D,F,G) & r1_jordan5c(B,C,D,G,E) ) ) ) )).
fof(fraenkel_a_5_1_jordan2b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(k14_euclid(B))) & m1_subset_1(F,u1_struct_0(k15_euclid(B))) ) => ( r2_hidden(A,a_5_1_jordan2b(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(B))) & A = G & ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k7_partfun1(k1_numbers,F,C),D),2),k3_metric_1(k14_euclid(B),E,G)) ) ) ) )).
fof(fraenkel_a_5_1_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k9_setfam_1(B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),B))) & ~ v2_struct_0(D) & v3_lattices(D) & v10_lattices(D) & l3_lattices(D) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,u1_struct_0(k3_lattice3(D))) ) => ( r2_hidden(A,a_5_1_lattice3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k1_funct_1(C,k2_tarski(G,F)) & r2_tarski(G,E) ) ) ) )).
fof(fraenkel_a_5_1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_1_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,E,G)),k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k5_card_3(k1_domain_1(B,B,G,F),D))) ) ) ) )).
fof(fraenkel_a_5_1_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & m1_matrix_1(D,k9_matrix_1(k1_nat_1(B,2))) & m1_matrix_1(E,k9_matrix_1(k1_nat_1(B,2))) & m1_subset_1(F,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))))) ) => ( r2_hidden(A,a_5_1_matrix11(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k2_sgraph1(k2_finseq_1(k1_nat_1(B,2)))) & A = G & r2_tarski(G,F) & k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,E),G) != k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,D),G) ) ) ) )).
fof(fraenkel_a_5_1_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),B,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) ) => ( r2_hidden(A,a_5_1_matrtop1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(B))) & A = k1_algstr_0(k15_euclid(B),D,G) & r2_tarski(G,k7_ranknull(k15_euclid(B),k15_euclid(C),k3_matrtop1(B,C,E),F)) ) ) ) )).
fof(fraenkel_a_5_1_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) & m2_finseq_1(F,k4_ordinal1) ) => ( r2_hidden(A,a_5_1_msafree5(B,C,D,E,F)) <=> ? [G] : ( v7_ordinal1(G) & A = k2_msafree5(k8_relat_1(k1_funct_1(E,k2_xcmplx_0(G,1)),k2_zfmisc_1(u4_struct_0(B),k1_tarski(u1_struct_0(B)))),k14_trees_3(G)) & ~ r1_xxreal_0(k3_finseq_1(F),G) ) ) ) )).
fof(fraenkel_a_5_1_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u4_struct_0(B)) ) => ( r2_hidden(A,a_5_1_msscyc_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k13_finseq_1(k1_msaterm(B,C))) & A = G & m1_msaterm(G,B,C,k2_msaterm(B,C,F)) & ? [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & k8_msafree2(B,C,E,H) = k1_nat_1(D,1) & H = k4_trees_4(k4_tarski(F,u1_struct_0(B)),G) ) ) ) ) )).
fof(fraenkel_a_5_1_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_relat_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & v7_ordinal1(E) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_1_nagata_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = k8_metric_1(B,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(E,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(B),F,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(B)),C,F))) & r1_tarski(k8_metric_1(B,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(E,1)))),F) & ~ r2_tarski(G,k3_tarski(a_3_3_nagata_2(B,D,E))) ) ) ) )).
fof(fraenkel_a_5_1_ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(B)) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_1_ncfcont1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & ~ r1_xxreal_0(F,k2_normsp_0(C,k5_algstr_0(C,G,k7_partfun1(u1_struct_0(C),D,E)))) ) ) ) )).
fof(fraenkel_a_5_1_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))))) & v7_ordinal1(E) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_5_1_pcomps_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k8_metric_1(C,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(E,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(C),F,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(C)),B,F))) & r1_tarski(k8_metric_1(C,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(E,1)))),F) & ~ r2_tarski(G,k3_tarski(a_3_8_pcomps_2(C,D,E))) ) ) ) )).
fof(fraenkel_a_5_1_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_zfmisc_1(B) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_petri_3(C,B) & m1_subset_1(D,B) & m1_subset_1(E,B) & v1_funct_1(F) & v1_funct_2(F,k8_petri_2(k1_petri_3(B,C,D)),u1_struct_0(k1_petri_3(B,C,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(k1_petri_3(B,C,D)),u1_struct_0(k1_petri_3(B,C,E))))) ) => ( r2_hidden(A,a_5_1_petri_3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u4_struct_0(k1_petri_3(B,C,D))) & A = k9_funct_2(k2_petri_2(u1_petri_2(k1_petri_3(B,C,D)),k8_petri(k1_petri_3(B,C,D),k6_domain_1(u4_struct_0(k1_petri_3(B,C,D)),G))),k2_petri_2(u1_petri_2(k1_petri_3(B,C,D)),k1_relset_2(k8_petri_2(k1_petri_3(B,C,D)),u1_struct_0(k1_petri_3(B,C,E)),F,G))) & v2_petri_2(G,k1_petri_3(B,C,D)) ) ) ) )).
fof(fraenkel_a_5_1_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,C) & m1_subset_1(F,k1_zfmisc_1(k6_subset_1(C,k1_tarski(E)))) ) => ( r2_hidden(A,a_5_1_ramsey_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & r1_xxreal_0(G,D) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_1_random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_prob_1(D,B,C) & v1_xreal_0(E) & m1_random_1(F,B,C) ) => ( r2_hidden(A,a_5_1_random_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & r1_xxreal_0(k2_power(E,2),k2_power(k9_complex1(k6_xcmplx_0(k12_supinf_2(F,G),k8_random_1(B,C,D,F))),2)) ) ) ) )).
fof(fraenkel_a_5_1_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m2_rlaffin3(F,k15_euclid(B),D) ) => ( r2_hidden(A,a_5_1_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k1_pre_topc(k15_euclid(B),k4_rlaffin1(k15_euclid(B),D)))) & A = G & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),D,F,G)),E) ) ) ) )).
fof(fraenkel_a_5_1_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) & m1_rmod_2(F,B,C) ) => ( r2_hidden(A,a_5_1_rmod_3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(D,H) & r1_struct_0(k1_rmod_3(B,C,E,F),G) ) ) ) )).
fof(fraenkel_a_5_1_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & ~ v3_pencil_1(D) & v1_matroid0(D) & v3_matroid0(D) & v6_simplex0(D,u1_struct_0(C)) & v1_simplex1(D,C) & v2_simplex1(D,C) & m1_simplex0(D,u1_struct_0(C)) & m3_simplex0(E,k4_simplex1(C,D),k6_xcmplx_0(B,1)) & m3_simplex0(F,D,B) ) => ( r2_hidden(A,a_5_1_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k4_simplex1(C,D),B) & A = G & r1_tarski(E,G) & r1_tarski(k3_convex1(C,k1_simplex1(C,k4_simplex1(C,D),G)),k3_convex1(C,k1_simplex1(C,D,F))) ) ) ) )).
fof(fraenkel_a_5_1_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k6_nat_lat,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,C))) & v4_card_3(E) & m1_subset_1(E,k1_zfmisc_1(C)) & m2_subset_1(F,k4_ordinal1,k6_nat_lat) ) => ( r2_hidden(A,a_5_1_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,E) & r1_tarski(G,k3_card_3(k5_relset_1(k6_nat_lat,C,D,k2_finseq_1(F)))) ) ) ) )).
fof(fraenkel_a_5_1_topmetr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k3_pcomps_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k3_pcomps_1(B))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) & v1_xreal_0(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,a_5_1_topmetr3(B,C,D,E,F)) <=> ? [G] : ( v1_xreal_0(G) & A = G & r1_xxreal_0(k2_seq_4(F),G) & r1_xxreal_0(G,E) & r2_tarski(k1_funct_1(C,G),D) ) ) ) )).
fof(fraenkel_a_5_1_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) & m1_vectsp_4(F,B,C) ) => ( r2_hidden(A,a_5_1_vectsp_5(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(D,H) & r1_struct_0(k1_vectsp_5(B,C,E,F),G) ) ) ) )).
fof(fraenkel_a_5_1_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & m2_pboole(E,C,D,k7_funcop_1(C,u1_struct_0(B))) & ~ v2_struct_0(F) & v4_orders_2(F) & v6_waybel_0(F,B) & v7_waybel_0(F) & l1_waybel_0(F,B) ) => ( r2_hidden(A,a_5_1_waybel11(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(F)) & A = k5_yellow_2(B,k4_waybel_5(B,E)) ) ) ) )).
fof(fraenkel_a_5_1_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v2_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_5_1_waybel17(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,F,k3_waybel17(B,D,E)))) & A = k2_yellow_0(C,a_6_0_waybel17(B,C,D,E,F,G)) ) ) ) )).
fof(fraenkel_a_5_1_waybel19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_yellow_0(C) & l1_orders_2(C) & v2_pre_topc(D) & v1_waybel19(D) & m1_yellow_9(D,B) & v2_pre_topc(E) & v1_waybel19(E) & m1_yellow_9(E,C) & v1_tops_2(F,E) & v2_cantor_1(F,E) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(E)))) ) => ( r2_hidden(A,a_5_1_waybel19(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(E))) & A = k2_zfmisc_1(u1_struct_0(D),G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_1_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v24_waybel_0(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_orders_3(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & ~ v1_xboole_0(E) & v1_waybel_0(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,k4_waybel17(B,E)))) ) => ( r2_hidden(A,a_5_1_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,D,k4_waybel17(B,E)))) & A = k2_waybel_0(C,k6_waybel_9(B,C,D,k4_waybel17(B,E)),G) & r1_orders_2(k6_waybel_9(B,C,D,k4_waybel17(B,E)),F,G) ) ) ) )).
fof(fraenkel_a_5_1_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_5_1_yellow_9(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & A = k8_relat_1(E,G) & r2_tarski(G,D) & r1_tarski(G,k3_subset_1(u1_struct_0(C),F)) ) ) ) )).
fof(fraenkel_a_5_1_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,k4_ordinal1) ) => ( r2_hidden(A,a_5_1_zf_fund1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & r2_tarski(G,C) & r2_tarski(k2_xboole_0(k1_tarski(k1_domain_1(k4_ordinal1,B,F,G)),E),D) ) ) ) )).
fof(fraenkel_a_5_1_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & m1_subset_1(C,B) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_1_zf_fund2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & r2_tarski(G,C) & r2_tarski(k2_xboole_0(k1_tarski(k4_tarski(D,G)),F),E) ) ) ) )).
fof(fraenkel_a_5_2_abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,k1_zfmisc_1(B),k8_eqrel_1(B,k2_abian(B,C))) & m2_subset_1(E,B,D) & m1_subset_1(F,D) ) => ( r2_hidden(A,a_5_2_abian(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & k1_funct_1(k1_abian(B,C,G),F) = E ) ) ) )).
fof(fraenkel_a_5_2_card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_card_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & ~ v1_xboole_0(D) & m1_subset_1(E,B) & m1_subset_1(F,k6_card_fil(B)) ) => ( r2_hidden(A,a_5_2_card_fil(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,D) & A = G & k1_funct_1(k1_funct_1(C,G),F) = E ) ) ) )).
fof(fraenkel_a_5_2_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_card_1(C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(C),C))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_2_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = G & 1 = 1 & k1_funct_1(G,E) = k1_funct_1(D,F) ) ) ) )).
fof(fraenkel_a_5_2_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(k11_conlat_1(C))) ) => ( r2_hidden(A,a_5_2_conlat_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & r3_lattices(B,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,G),k16_lattice3(B,a_4_9_conlat_2(B,C,E,F))) ) ) ) )).
fof(fraenkel_a_5_2_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & m2_subset_1(F,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_5_2_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & r1_orders_2(B,F,k8_nat_1(u1_struct_0(B),C,G)) & ~ r1_xxreal_0(G,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_5_2_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_2_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(F),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E))) ) ) ) )).
fof(fraenkel_a_5_2_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_2_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,C)),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_2_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) ) => ( r2_hidden(A,a_5_2_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & r6_pboole(B,k3_termord(B,C,D,G),F) & G != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_5_2_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v1_group_3(D,C) & m1_group_2(D,C) & v1_group_3(E,D) & m1_group_6(E,C,D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_5_2_group_9(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(D)) & m1_subset_1(H,u1_struct_0(D)) & A = k6_algstr_0(D,G,H) & r2_tarski(G,F) & r2_tarski(H,k8_group_2(D,E)) ) ) ) )).
fof(fraenkel_a_5_2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ( r2_hidden(A,a_5_2_interva1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) & A = G & r1_tarski(k7_subset_1(B,C,F),G) & r1_tarski(G,k7_subset_1(B,D,E)) ) ) ) )).
fof(fraenkel_a_5_2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_2_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_0_lfuzzy_1(B,C,D,E,F,G)) ) ) ) )).
fof(fraenkel_a_5_2_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),B,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) ) => ( r2_hidden(A,a_5_2_matrtop1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(C))) & A = k1_algstr_0(k15_euclid(C),k3_funct_2(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(C)),k3_matrtop1(B,C,E),D),G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_2_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) & m1_subset_1(E,k3_card_3(u3_msualg_1(B,D))) & m1_subset_1(F,u1_struct_0(B)) ) => ( r2_hidden(A,a_5_2_msafree5(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k10_xtuple_0(E)) & A = k1_xtuple_0(G) & k2_xtuple_0(G) = F ) ) ) )).
fof(fraenkel_a_5_2_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u4_struct_0(B)) ) => ( r2_hidden(A,a_5_2_msscyc_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k13_finseq_1(k1_msaterm(B,C))) & A = k4_tarski(G,k4_trees_4(k4_tarski(F,u1_struct_0(B)),G)) & m1_msaterm(G,B,C,k2_msaterm(B,C,F)) & ? [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & k8_msafree2(B,C,E,H) = k1_nat_1(D,1) & H = k4_trees_4(k4_tarski(F,u1_struct_0(B)),G) ) ) ) ) )).
fof(fraenkel_a_5_2_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_relat_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_2_nagata_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = k8_metric_1(B,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(E,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(B),F,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(B)),C,F))) & r1_tarski(k8_metric_1(B,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(E,1)))),F) & ~ r2_tarski(G,k3_tarski(a_3_4_nagata_2(B,D,E))) ) ) ) )).
fof(fraenkel_a_5_2_ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(C)) & v1_xreal_0(F) ) => ( r2_hidden(A,a_5_2_ncfcont1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = G & ~ r1_xxreal_0(F,k2_normsp_0(B,k5_algstr_0(B,G,k7_partfun1(u1_struct_0(B),D,E)))) ) ) ) )).
fof(fraenkel_a_5_2_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))))) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_5_2_pcomps_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k8_metric_1(C,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(E,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(C),F,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(C)),B,F))) & r1_tarski(k8_metric_1(C,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(E,1)))),F) & ~ r2_tarski(G,k3_tarski(a_3_9_pcomps_2(C,D,E))) ) ) ) )).
fof(fraenkel_a_5_2_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(B) & ~ v2_struct_0(C) & l1_rlvect_1(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,u1_struct_0(C)))) ) => ( r2_hidden(A,a_5_2_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k1_rlvect_1(C,G,B) & r2_tarski(G,k7_relset_1(D,u1_struct_0(C),E,F)) ) ) ) )).
fof(fraenkel_a_5_2_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) & m1_rmod_2(F,B,C) ) => ( r2_hidden(A,a_5_2_rmod_3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(k2_rmod_3(B,C,D,E),H) & r1_struct_0(k2_rmod_3(B,C,E,F),G) ) ) ) )).
fof(fraenkel_a_5_2_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & ~ v3_pencil_1(D) & v1_matroid0(D) & v3_matroid0(D) & v6_simplex0(D,u1_struct_0(C)) & v1_simplex1(D,C) & v2_simplex1(D,C) & m1_simplex0(D,u1_struct_0(C)) & m3_simplex0(E,k4_simplex1(C,D),k6_xcmplx_0(B,1)) & v3_pre_topc(F,D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) ) => ( r2_hidden(A,a_5_2_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k4_simplex1(C,D),B) & A = G & r1_tarski(E,G) & r1_tarski(k3_convex1(C,k1_simplex1(C,k4_simplex1(C,D),G)),k3_convex1(C,k1_simplex1(C,D,F))) ) ) ) )).
fof(fraenkel_a_5_2_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v1_rlaffin1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C))),u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C)))) & v5_pre_topc(D,k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C)),k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C))),u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C)))))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_2_simplex2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k1_pre_topc(k15_euclid(B),E))) & A = G & r1_xxreal_0(k1_funct_1(k2_rlaffin3(k15_euclid(B),C,k1_funct_1(o_2_3_simplex2(B,C),F)),k1_funct_1(D,G)),k1_funct_1(k2_rlaffin3(k15_euclid(B),C,k1_funct_1(o_2_3_simplex2(B,C),F)),G)) ) ) ) )).
fof(fraenkel_a_5_2_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(C) & v1_srings_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_eqrel_1(E,C) & m1_eqrel_1(F,C) ) => ( r2_hidden(A,a_5_2_srings_1(B,C,D,E,F)) <=> ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(D)) & A = G & ? [H] : ( r2_tarski(H,k2_partit1(C,E,F)) & m1_eqrel_1(G,H) ) ) ) ) )).
fof(fraenkel_a_5_2_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_qc_lang1(B) & ~ v1_xboole_0(C) & m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) & m2_funct_2(E,k3_qc_lang1(B),C,k2_valuat_1(B,C)) & m2_funct_2(F,k2_valuat_1(B,C),k5_margrel1,k9_funct_2(k2_valuat_1(B,C),k5_margrel1)) ) => ( r2_hidden(A,a_5_2_valuat_1(B,C,D,E,F)) <=> ? [G] : ( m2_funct_2(G,k3_qc_lang1(B),C,k2_valuat_1(B,C)) & A = k3_funct_2(k2_valuat_1(B,C),k5_margrel1,F,G) & ! [H] : ( m2_subset_1(H,k2_qc_lang1(B),k3_qc_lang1(B)) => ( D != H => k3_funct_2(k3_qc_lang1(B),C,G,H) = k3_funct_2(k3_qc_lang1(B),C,E,H) ) ) ) ) ) )).
fof(fraenkel_a_5_2_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) & m1_vectsp_4(F,B,C) ) => ( r2_hidden(A,a_5_2_vectsp_5(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(k2_vectsp_5(B,C,D,E),H) & r1_struct_0(k2_vectsp_5(B,C,E,F),G) ) ) ) )).
fof(fraenkel_a_5_2_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v2_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_hidden(A,a_5_2_waybel17(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,F,k3_waybel17(B,D,E)))) & A = k12_lattice3(C,k3_funct_2(u1_struct_0(B),u1_struct_0(C),F,D),k3_funct_2(u1_struct_0(B),u1_struct_0(C),F,E)) ) ) ) )).
fof(fraenkel_a_5_2_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,B) & m2_yellow_6(D,B,C) & m2_waybel21(E,B,C,D) & m1_subset_1(F,u1_struct_0(D)) ) => ( r2_hidden(A,a_5_2_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k2_waybel_0(B,C,G) & r1_orders_2(C,k3_funct_2(u1_struct_0(D),u1_struct_0(C),E,F),G) ) ) ) )).
fof(fraenkel_a_5_2_waybel22,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v3_lattice3(C) & v3_waybel_3(C) & l1_orders_2(C) & v1_funct_1(D) & v1_funct_2(D,k1_waybel22(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(B),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(B))))) & m1_subset_1(F,E) ) => ( r2_hidden(A,a_5_2_waybel22(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k2_yellow_1(B))) & A = k1_funct_1(D,k6_waybel_0(k2_yellow_1(B),G)) & ? [H] : ( m1_subset_1(H,B) & G = k1_tarski(H) & r2_tarski(H,F) ) ) ) ) )).
fof(fraenkel_a_5_2_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & m2_subset_1(D,k4_ordinal1,k1_zf_lang) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_2_zf_fund1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = G & r2_tarski(G,k1_funct_2(k7_subset_1(k4_ordinal1,k4_zf_fund1(k2_zf_model(C)),k6_domain_1(k4_ordinal1,k3_zf_fund1(D))),E)) & ? [H] : r2_tarski(k2_xboole_0(k1_tarski(k4_tarski(k3_zf_fund1(D),H)),G),F) ) ) ) )).
fof(fraenkel_a_5_3_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_card_1(C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(C),C))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_3_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_xboole_0(k6_subset_1(B,k1_tarski(E)),k1_tarski(E)),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k6_subset_1(B,k1_tarski(E)),k1_tarski(E)),C))) & A = G & k1_funct_1(G,E) = k1_funct_1(D,F) ) ) ) )).
fof(fraenkel_a_5_3_conlat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_conlat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u4_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(k11_conlat_1(C))) ) => ( r2_hidden(A,a_5_3_conlat_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & ! [H] : ( m1_subset_1(H,u4_struct_0(C)) => ( r2_tarski(H,u3_conlat_1(C,k12_conlat_1(C,F))) => r3_lattices(B,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,G),k3_funct_2(u4_struct_0(C),u1_struct_0(B),E,H)) ) ) ) ) ) )).
fof(fraenkel_a_5_3_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_3_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k18_euclid(E),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_3_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_3_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k17_euclid(G) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k18_euclid(F),k18_euclid(G)) & r1_xxreal_0(k18_euclid(G),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,C))) ) ) ) )).
fof(fraenkel_a_5_3_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k15_pre_poly(B))) ) => ( r2_hidden(A,a_5_3_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & k3_termord(B,C,D,G) = o_2_1_groeb_1(B,F) & G != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_5_3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & v2_group_9(D,B) & v4_group_9(D,B,C) & m1_group_9(D,B,C) & v4_group_9(E,B,D) & m1_group_9(E,B,D) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_3_group_9(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,k7_group_9(B,D,E)) & m1_subset_1(H,k7_group_9(B,D,E)) & A = k4_tarski(G,H) & ? [I] : ( m1_subset_1(I,u1_struct_0(D)) & ? [J] : ( m1_subset_1(J,u1_struct_0(D)) & r2_tarski(I,G) & r2_tarski(J,H) & J = k3_funct_2(u1_struct_0(D),u1_struct_0(D),k3_group_9(B,D,F),I) ) ) ) ) ) )).
fof(fraenkel_a_5_3_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_3_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_1_lfuzzy_1(B,C,D,E,F,G)) ) ) ) )).
fof(fraenkel_a_5_3_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u4_struct_0(B)) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_3_msscyc_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),k7_partfun1(u1_struct_0(B),k1_msualg_1(B,E),F))) & A = G & r1_xxreal_0(k8_msafree2(B,C,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,E),F),G),D) ) ) ) )).
fof(fraenkel_a_5_3_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_relat_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_3_nagata_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = k8_metric_1(B,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(F,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(B),E,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(B)),C,E))) & r1_tarski(k8_metric_1(B,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(F,1)))),E) & ~ r2_tarski(G,k3_tarski(a_3_3_nagata_2(B,D,F))) ) ) ) )).
fof(fraenkel_a_5_3_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_3_pcomps_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k8_metric_1(C,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(F,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(C),E,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(C)),B,E))) & r1_tarski(k8_metric_1(C,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(F,1)))),E) & ~ r2_tarski(G,k3_tarski(a_3_8_pcomps_2(C,D,F))) ) ) ) )).
fof(fraenkel_a_5_3_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v2_pre_topc(C) & v6_rltopsp1(C) & v7_rltopsp1(C) & l1_rltopsp1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m2_rlaffin3(E,C,D) ) => ( r2_hidden(A,a_5_3_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & r2_tarski(G,k4_rlaffin1(C,D)) & r2_tarski(k17_finseq_1(k1_numbers,B,k1_rlaffin3(C,D,E,G)),F) ) ) ) )).
fof(fraenkel_a_5_3_rmod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) & m1_rmod_2(F,B,C) ) => ( r2_hidden(A,a_5_3_rmod_3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(E,H) & r1_struct_0(k2_rmod_3(B,C,D,F),G) ) ) ) )).
fof(fraenkel_a_5_3_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & v7_ordinal1(E) & m3_simplex0(F,k5_simplex1(E,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),k6_xcmplx_0(B,1)) ) => ( r2_hidden(A,a_5_3_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k5_simplex1(E,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),B) & A = G & r1_tarski(F,G) ) ) ) )).
fof(fraenkel_a_5_3_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v1_rlaffin1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C))),u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C)))) & v5_pre_topc(D,k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C)),k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C))),u1_struct_0(k1_pre_topc(k15_euclid(B),k3_convex1(k15_euclid(B),C)))))) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ( r2_hidden(A,a_5_3_simplex2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k1_pre_topc(k15_euclid(B),E))) & A = G & r1_xxreal_0(k1_funct_1(k2_rlaffin3(k15_euclid(B),C,k1_funct_1(o_2_3_simplex2(B,C),F)),k1_funct_1(D,G)),k1_funct_1(k2_rlaffin3(k15_euclid(B),C,k1_funct_1(o_2_3_simplex2(B,C),F)),G)) ) ) ) )).
fof(fraenkel_a_5_3_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_finseq_1(D,C) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_3_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,E) & r1_tarski(G,k1_funct_1(D,F)) ) ) ) )).
fof(fraenkel_a_5_3_vectsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) & m1_vectsp_4(F,B,C) ) => ( r2_hidden(A,a_5_3_vectsp_5(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(H,u1_struct_0(C)) & A = k3_rlvect_1(C,H,G) & r1_struct_0(E,H) & r1_struct_0(k2_vectsp_5(B,C,D,F),G) ) ) ) )).
fof(fraenkel_a_5_3_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v4_waybel11(C) & l1_waybel_9(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) ) => ( r2_hidden(A,a_5_3_waybel17(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,D,E))) & A = k2_waybel_0(C,k6_waybel_9(B,C,D,E),G) & r1_orders_2(k6_waybel_9(B,C,D,E),F,G) ) ) ) )).
fof(fraenkel_a_5_3_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) ) => ( r2_hidden(A,a_5_3_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,D,E))) & A = k2_waybel_0(C,k6_waybel_9(B,C,D,E),G) & r1_orders_2(k6_waybel_9(B,C,D,E),F,G) ) ) ) )).
fof(fraenkel_a_5_4_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(E) & v1_funct_2(E,k4_card_1(C),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(C),C))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_4_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = G & v2_funct_1(G) & k1_funct_1(G,D) = k1_funct_1(E,F) ) ) ) )).
fof(fraenkel_a_5_4_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_4_dickson(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,u1_struct_0(B),F) & A = G & ? [H] : ( m2_subset_1(H,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & H = G & ~ v1_finset_1(a_5_5_dickson(B,C,D,E,H)) ) ) ) ) )).
fof(fraenkel_a_5_4_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_4_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,D)),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_4_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_4_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(F),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(E)) ) ) ) )).
fof(fraenkel_a_5_4_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) ) => ( r2_hidden(A,a_5_4_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & k3_termord(B,C,D,G) = F & G != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_5_4_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,B) & l1_group_9(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(E,C,D) & v7_group_9(E,B,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_4_group_9(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,k7_group_9(B,C,k13_group_9(B,C,D,E))) & m1_subset_1(H,k7_group_9(B,C,k13_group_9(B,C,D,E))) & A = k4_tarski(G,H) & ? [I] : ( m1_subset_1(I,u1_struct_0(C)) & ? [J] : ( m1_subset_1(J,u1_struct_0(C)) & r2_tarski(I,G) & r2_tarski(J,H) & J = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k3_group_9(B,C,F),I) ) ) ) ) ) )).
fof(fraenkel_a_5_4_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(C) & m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) & m2_subset_1(E,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,E))) ) => ( r2_hidden(A,a_5_4_heyting2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_partfun1(B,C)) & A = k6_subset_1(k1_funct_1(F,G),G) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_4_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_4_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_5_lfuzzy_1(B,C,E,F,G)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_4_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u4_struct_0(B)) & m1_subset_1(F,k4_ordinal1) ) => ( r2_hidden(A,a_5_4_msscyc_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),k7_partfun1(u1_struct_0(B),k1_msualg_1(B,E),F))) & A = G & r1_xxreal_0(k8_msafree2(B,C,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,E),F),G),D) ) ) ) )).
fof(fraenkel_a_5_4_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_relat_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & v7_ordinal1(E) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_4_nagata_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = k8_metric_1(B,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(E,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(B),F,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(B)),C,F))) & r1_tarski(k8_metric_1(B,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(E,1)))),F) & ~ r2_tarski(G,k3_tarski(a_3_6_nagata_2(B,D,E))) ) ) ) )).
fof(fraenkel_a_5_4_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))))) & v7_ordinal1(E) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) ) => ( r2_hidden(A,a_5_4_pcomps_2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = k8_metric_1(C,G,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(E,1)))) & r2_tarski(G,k7_subset_1(u1_struct_0(C),F,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(C)),B,F))) & r1_tarski(k8_metric_1(C,G,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(E,1)))),F) & ~ r2_tarski(G,k3_tarski(a_3_8_pcomps_2(C,D,E))) ) ) ) )).
fof(fraenkel_a_5_4_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_rlaffin3(E,k15_euclid(B),D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) ) => ( r2_hidden(A,a_5_4_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(B))) & A = G & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),D,E,G)),F) ) ) ) )).
fof(fraenkel_a_5_4_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & v7_ordinal1(E) & m3_simplex0(F,k5_simplex1(k2_xcmplx_0(E,1),C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),k6_xcmplx_0(B,1)) ) => ( r2_hidden(A,a_5_4_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k5_simplex1(k2_xcmplx_0(E,1),C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),B) & A = G & r1_tarski(F,G) ) ) ) )).
fof(fraenkel_a_5_4_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_finseq_1(D,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_4_simplex2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & A = G & r2_tarski(G,k1_pcomps_1(k1_pre_topc(k15_euclid(B),C),E)) & r1_tarski(G,k1_funct_1(D,F)) ) ) ) )).
fof(fraenkel_a_5_4_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m2_finseq_1(D,C) & v1_relat_1(E) & v1_funct_1(E) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_4_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,k3_card_3(E)) & r1_tarski(G,k1_funct_1(D,F)) ) ) ) )).
fof(fraenkel_a_5_4_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(E)) ) => ( r2_hidden(A,a_5_4_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(E)) & A = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k2_waybel_0(B,E,G)) & r1_orders_2(E,F,G) ) ) ) )).
fof(fraenkel_a_5_5_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(E) & v1_funct_2(E,k4_card_1(C),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(C),C))) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_5_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k6_subset_1(B,k1_tarski(D)),k6_subset_1(C,k1_tarski(k1_funct_1(E,F)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(B,k1_tarski(D)),k6_subset_1(C,k1_tarski(k1_funct_1(E,F)))))) & A = G & v2_funct_1(G) ) ) ) )).
fof(fraenkel_a_5_5_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & m2_subset_1(F,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_5_5_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & r1_orders_2(B,F,k8_nat_1(u1_struct_0(B),C,G)) & ~ r1_xxreal_0(G,k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))) ) ) ) )).
fof(fraenkel_a_5_5_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_5_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(F),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(E)) ) ) ) )).
fof(fraenkel_a_5_5_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_5_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(E),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_5_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & m1_subset_1(F,u1_struct_0(g1_orders_2(k15_pre_poly(B),k4_groeb_1(B)))) ) => ( r2_hidden(A,a_5_5_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & k3_termord(B,C,D,G) = F & G != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_5_5_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(E,D) & v1_polynom7(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & v1_polynom7(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ( r2_hidden(A,a_5_5_groeb_3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,G,H) & r2_tarski(G,k3_polynom1(k15_pre_poly(B),D,k5_termord(B,C,D,E))) & r2_tarski(H,k3_polynom1(k15_pre_poly(B),D,F)) ) ) ) )).
fof(fraenkel_a_5_5_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,B) & l1_group_9(D,B) & v15_algstr_0(E) & m1_group_2(E,D) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(F,C,D) & v7_group_9(F,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( r2_hidden(A,a_5_5_group_9(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & r1_struct_0(E,k3_funct_2(u1_struct_0(C),u1_struct_0(D),F,G)) ) ) ) )).
fof(fraenkel_a_5_5_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(C) & m2_subset_1(D,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & m2_subset_1(E,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & m1_subset_1(F,k4_partfun1(D,E)) ) => ( r2_hidden(A,a_5_5_heyting2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_partfun1(B,C)) & A = k6_subset_1(k1_funct_1(F,G),G) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_5_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) ) => ( r2_hidden(A,a_5_5_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,D,G)),k9_lfuzzy_0(k2_zfmisc_1(B,B),F,k1_domain_1(B,B,G,E))) ) ) ) )).
fof(fraenkel_a_5_5_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_rlaffin3(E,k15_euclid(B),D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) ) => ( r2_hidden(A,a_5_5_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k1_pre_topc(k15_euclid(B),k4_rlaffin1(k15_euclid(B),D)))) & A = G & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),D,E,G)),F) ) ) ) )).
fof(fraenkel_a_5_5_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v7_ordinal1(D) & v1_finset_1(E) & v1_rlaffin1(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v1_funct_1(F) & v1_funct_2(F,k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E))) ) => ( r2_hidden(A,a_5_5_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),k6_xcmplx_0(D,1)) & A = G & k7_relset_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E,F,G) = E ) ) ) )).
fof(fraenkel_a_5_5_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_finseq_1(D,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) ) => ( r2_hidden(A,a_5_5_simplex2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & A = G & r2_tarski(G,k1_pcomps_1(k1_pre_topc(k15_euclid(B),C),E)) & r1_tarski(G,k1_funct_1(D,F)) ) ) ) )).
fof(fraenkel_a_5_5_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_5_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,E) & r1_tarski(G,k1_funct_1(D,F)) ) ) ) )).
fof(fraenkel_a_5_5_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(E)) ) => ( r2_hidden(A,a_5_5_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(E)) & A = k1_funct_1(D,k1_funct_1(u1_waybel_0(B,E),G)) & r1_orders_2(E,F,G) ) ) ) )).
fof(fraenkel_a_5_6_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_5_6_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(k2_tarski(E,F),k1_tarski(E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(k2_tarski(E,F),k1_tarski(E))))) & A = G & ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( H = G => k4_card_1(k8_relat_1(k5_relat_1(H,B),k1_tarski(E))) = C ) ) & r1_tarski(k2_relset_1(k2_xboole_0(k2_tarski(E,F),k1_tarski(E)),k2_partfun1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(k2_tarski(E,F),k1_tarski(E)),G,B)),k2_tarski(E,F)) & k1_funct_1(G,D) = E ) ) ) )).
fof(fraenkel_a_5_6_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_6_dickson(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & A = a_5_2_dickson(B,C,D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_6_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_6_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(F),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,E,D))) ) ) ) )).
fof(fraenkel_a_5_6_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_6_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E)),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_6_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ( r2_hidden(A,a_5_6_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = k3_termord(B,C,D,G) & r2_tarski(G,k7_subset_1(u1_struct_0(k12_polynom1(B,D)),E,k1_groeb_1(B,D,F))) & G != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_5_6_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(E,D) & v1_polynom7(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & v1_polynom7(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ( r2_hidden(A,a_5_6_groeb_3(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,G,H) & r2_tarski(G,k3_polynom1(k15_pre_poly(B),D,k5_termord(B,C,D,F))) & r2_tarski(H,k3_polynom1(k15_pre_poly(B),D,k6_termord(B,C,D,E))) ) ) ) )).
fof(fraenkel_a_5_6_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v2_group_9(C,B) & v3_group_9(C,B) & l1_group_9(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v2_group_9(D,B) & v3_group_9(D,B) & l1_group_9(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(E,C,D) & v7_group_9(E,B,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v15_algstr_0(F) & v1_group_3(F,D) & m1_group_2(F,D) ) => ( r2_hidden(A,a_5_6_group_9(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & A = G & r1_struct_0(F,k3_funct_2(u1_struct_0(C),u1_struct_0(D),E,G)) ) ) ) )).
fof(fraenkel_a_5_6_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_6_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_7_lfuzzy_1(B,C,E,F,G)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_6_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v7_ordinal1(D) & v1_finset_1(E) & v1_rlaffin1(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m3_simplex0(F,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),k6_xcmplx_0(D,1)) ) => ( r2_hidden(A,a_5_6_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),D) & A = G & r1_tarski(F,G) ) ) ) )).
fof(fraenkel_a_5_6_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v1_rlaffin1(C,k15_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m2_finseq_1(E,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),D)))) & m1_subset_1(F,k1_zfmisc_1(k4_finseq_1(E))) ) => ( r2_hidden(A,a_5_6_simplex2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = k3_convex1(k15_euclid(B),k7_subset_1(u1_struct_0(k15_euclid(B)),C,k1_tarski(k1_funct_1(o_2_3_simplex2(B,C),G)))) & r2_tarski(G,k7_subset_1(k4_ordinal1,k4_finseq_1(o_2_3_simplex2(B,C)),F)) ) ) ) )).
fof(fraenkel_a_5_6_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k6_nat_lat,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,C))) & v1_relat_1(E) & v1_funct_1(E) & v7_ordinal1(F) ) => ( r2_hidden(A,a_5_6_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,k3_card_3(E)) & r1_tarski(G,k3_card_3(k5_relset_1(k6_nat_lat,C,D,k2_finseq_1(F)))) ) ) ) )).
fof(fraenkel_a_5_6_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(E)) ) => ( r2_hidden(A,a_5_6_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(E)) & A = k1_funct_1(k1_partfun1(u1_struct_0(E),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),u1_waybel_0(B,E),D),G) & r1_orders_2(E,F,G) ) ) ) )).
fof(fraenkel_a_5_7_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_5_7_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(k2_tarski(E,F),k1_tarski(F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(k2_tarski(E,F),k1_tarski(F))))) & A = G & ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( H = G => k1_card_1(k8_relat_1(H,k1_tarski(E))) = C ) ) & r1_tarski(k2_relset_1(k2_xboole_0(k2_tarski(E,F),k1_tarski(F)),k2_partfun1(k2_xboole_0(B,k1_tarski(D)),k2_xboole_0(k2_tarski(E,F),k1_tarski(F)),G,B)),k2_tarski(E,F)) & k1_funct_1(G,D) = F ) ) ) )).
fof(fraenkel_a_5_7_goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_7_goboard2(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D)) & r1_xxreal_0(k17_euclid(E),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(F)) ) ) ) )).
fof(fraenkel_a_5_7_goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) ) => ( r2_hidden(A,a_5_7_goboard3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) & A = G & k18_euclid(G) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E)) & r1_xxreal_0(k17_euclid(F),k17_euclid(G)) & r1_xxreal_0(k17_euclid(G),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,E))) ) ) ) )).
fof(fraenkel_a_5_7_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k15_pre_poly(B))) ) => ( r2_hidden(A,a_5_7_groeb_1(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) & A = a_5_8_groeb_1(B,C,D,E,G) & r2_tarski(G,F) ) ) ) )).
fof(fraenkel_a_5_7_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & m1_group_9(D,B,C) & v2_group_9(E,B) & m1_group_9(E,B,D) & v2_group_9(F,B) & m1_group_9(F,B,D) ) => ( r2_hidden(A,a_5_7_group_9(B,C,D,E,F)) <=> ? [G] : ? [H] : ( m1_subset_1(G,u1_struct_0(D)) & m1_subset_1(H,u1_struct_0(D)) & A = k6_algstr_0(D,G,H) & r2_tarski(G,k15_group_9(B,D,E)) & r2_tarski(H,k15_group_9(B,D,F)) ) ) ) )).
fof(fraenkel_a_5_7_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) ) => ( r2_hidden(A,a_5_7_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,D,G)),k7_lfuzzy_0(k2_zfmisc_1(B,B),k5_lfuzzy_0(k2_zfmisc_1(B,B),F),k1_domain_1(B,B,G,E))) ) ) ) )).
fof(fraenkel_a_5_7_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m2_rlaffin3(F,k15_euclid(B),D) ) => ( r2_hidden(A,a_5_7_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(B))) & A = G & r2_tarski(G,k4_rlaffin1(k15_euclid(B),D)) & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),D,F,G)),E) ) ) ) )).
fof(fraenkel_a_5_7_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & v7_ordinal1(E) & m3_simplex0(F,k5_simplex1(k1_nat_1(E,1),C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),k6_xcmplx_0(B,1)) ) => ( r2_hidden(A,a_5_7_simplex1(B,C,D,E,F)) <=> ? [G] : ( m3_simplex0(G,k5_simplex1(k1_nat_1(E,1),C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),D))),B) & A = G & r1_tarski(F,G) ) ) ) )).
fof(fraenkel_a_5_7_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,B) & v3_srings_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(D) & v1_funct_2(D,k6_nat_lat,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,C))) & v1_relat_1(E) & v1_funct_1(E) & m2_subset_1(F,k4_ordinal1,k6_nat_lat) ) => ( r2_hidden(A,a_5_7_srings_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,C) & A = G & r2_tarski(G,k3_card_3(E)) & r1_tarski(G,k3_card_3(k5_relset_1(k6_nat_lat,C,D,k2_finseq_1(F)))) ) ) ) )).
fof(fraenkel_a_5_7_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) ) => ( r2_hidden(A,a_5_7_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(E)) & A = k1_funct_1(k1_partfun1(u1_struct_0(E),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),u1_waybel_0(B,E),D),G) & r2_hidden(k4_tarski(F,G),u1_orders_2(E)) ) ) ) )).
fof(fraenkel_a_5_8_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v7_ordinal1(C) ) => ( r2_hidden(A,a_5_8_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F)))) & A = G & k4_card_1(k8_relset_1(k2_xboole_0(B,k1_tarski(D)),k2_tarski(E,F),G,k1_tarski(E))) = k1_nat_1(C,1) & k1_funct_1(G,D) = F ) ) ) )).
fof(fraenkel_a_5_8_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_5_8_dickson(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,u1_struct_0(B),F) & A = G & ? [H] : ( m2_subset_1(H,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) & H = G & ~ v1_finset_1(a_5_9_dickson(B,C,D,E,H)) ) ) ) ) )).
fof(fraenkel_a_5_8_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) ) => ( r2_hidden(A,a_5_8_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & k5_termord(B,C,D,G) = k1_polynom7(B,D,k5_struct_0(D),F) & G != k8_polynom1(B,D) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(H,D) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) ) => ~ ( r2_tarski(H,E) & r2_polyred(B,C,D,H,G) & H != k8_polynom1(B,D) & k5_termord(B,C,D,H) = k1_polynom7(B,D,k5_struct_0(D),F) ) ) ) ) ) )).
fof(fraenkel_a_5_8_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & m1_group_9(D,B,C) & v2_group_9(E,B) & m1_group_9(E,B,D) & v2_group_9(F,B) & m1_group_9(F,B,D) ) => ( r2_hidden(A,a_5_8_group_9(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(D))) & A = G & ? [H] : ( v2_group_9(H,B) & m1_group_9(H,B,D) & G = u1_struct_0(H) & r1_tarski(k16_group_9(B,D,E,F),k15_group_9(B,D,H)) ) ) ) ) )).
fof(fraenkel_a_5_8_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_8_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k7_lfuzzy_0(k2_zfmisc_1(B,B),k3_fuzzy_4(B,B,B,C,k5_lfuzzy_0(k2_zfmisc_1(B,B),G)),k1_domain_1(B,B,E,F)) & r2_tarski(G,D) ) ) ) )).
fof(fraenkel_a_5_8_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m2_rlaffin3(F,k15_euclid(B),D) ) => ( r2_hidden(A,a_5_8_rlaffin3(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(B))) & A = G & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),D,F,G)),k3_subset_1(u1_struct_0(k15_euclid(C)),E)) ) ) ) )).
fof(fraenkel_a_5_8_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & ~ v1_xboole_0(E) & m1_eqrel_1(F,E) ) => ( r2_hidden(A,a_5_8_srings_1(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,k1_zfmisc_1(E),F) & A = G & r1_xboole_0(G,k3_xboole_0(C,D)) ) ) ) )).
fof(fraenkel_a_5_8_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) ) => ( r2_hidden(A,a_5_8_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,D,E))) & A = k1_funct_1(k1_partfun1(u1_struct_0(E),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),u1_waybel_0(B,E),D),G) & r2_hidden(k4_tarski(F,G),u1_orders_2(E)) ) ) ) )).
fof(fraenkel_a_5_9_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & v1_finset_1(E) & v1_finset_1(F) ) => ( r2_hidden(A,a_5_9_card_fin(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,B,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,E))) & A = G & v2_funct_1(G) & r1_tarski(k2_relset_1(E,k2_partfun1(B,E,G,k6_subset_1(B,F))),k7_relset_1(B,C,D,k6_subset_1(B,F))) & ! [H] : ( r2_tarski(H,F) => k1_funct_1(G,H) = k1_funct_1(D,H) ) ) ) ) )).
fof(fraenkel_a_5_9_dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(E) & m2_subset_1(F,u1_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) => ( r2_hidden(A,a_5_9_dickson(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,k4_ordinal1) & A = G & r1_orders_2(B,F,k8_nat_1(u1_struct_0(B),C,G)) & ~ r1_xxreal_0(G,k8_nat_1(k4_ordinal1,D,E)) ) ) ) )).
fof(fraenkel_a_5_9_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k4_ordinal1) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(B,D)) & v2_ideal_1(E,k12_polynom1(B,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,D)))) & m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) ) => ( r2_hidden(A,a_5_9_groeb_1(B,C,D,E,F)) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & A = G & r2_tarski(G,E) & k5_termord(B,C,D,G) = k1_polynom7(B,D,k5_struct_0(D),F) & G != k8_polynom1(B,D) ) ) ) )).
fof(fraenkel_a_5_9_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) ) => ( r2_hidden(A,a_5_9_lfuzzy_1(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,B) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k5_card_3(k1_domain_1(B,B,E,G),D)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,G,F))) ) ) ) )).
fof(fraenkel_a_5_9_srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,B) & ~ v1_xboole_0(E) & m1_eqrel_1(F,E) ) => ( r2_hidden(A,a_5_9_srings_1(B,C,D,E,F)) <=> ? [G] : ( m2_subset_1(G,k1_zfmisc_1(E),F) & A = G & m1_subset_1(G,k1_zfmisc_1(C)) & r1_xboole_0(G,D) ) ) ) )).
fof(fraenkel_a_5_9_waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & v2_waybel19(C) & l1_waybel_9(C) & m1_waybel21(D,B,C) & ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) & m1_subset_1(F,u1_struct_0(k6_waybel_9(B,C,D,E))) ) => ( r2_hidden(A,a_5_9_waybel21(B,C,D,E,F)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,D,E))) & A = k1_funct_1(k1_partfun1(u1_struct_0(E),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),u1_waybel_0(B,E),D),G) & r1_orders_2(k6_waybel_9(B,C,D,E),F,G) ) ) ) )).
fof(fraenkel_a_6_0_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v4_msualg_1(D,B) & v5_msafree4(D,B,C) & l1_aofa_a00(D,B) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,k1_funct_1(u3_msualg_1(B,D),E)) ) => ( r2_hidden(A,a_6_0_aofa_a00(B,C,D,E,F,G)) <=> ? [H] : ( m1_trees_1(H,k9_xtuple_0(G)) & A = k5_trees_2(G,H) & k2_xtuple_0(k1_funct_1(k5_trees_2(G,H),k1_xboole_0)) = F ) ) ) )).
fof(fraenkel_a_6_0_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v13_aofa_a00(B) & v16_aofa_a00(B) & v18_aofa_a00(B,4,1) & v21_aofa_a00(B,1,1,11) & v23_aofa_a00(B,11) & l6_aofa_a00(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v4_msualg_1(D,B) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & v6_aofa_a01(D,B) & l1_aofa_a00(D,B) & v4_msualg_1(E,B) & v4_msafree4(E,B,D) & v17_aofa_a00(E,B) & v20_aofa_a00(E,4,1,B) & v22_aofa_a00(E,B,1,1,11) & l3_msualg_1(E,B) & v4_aofa_a01(F,B,C,D) & l4_aofa_a00(F,B,C,D) & v3_aofa_a01(G,B,C,D,u4_aofa_a00(B,C,D,F),k36_aofa_a00(B)) & m1_msafree4(G,u1_struct_0(B),u4_aofa_a00(B,C,D,F),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,F),k36_aofa_a00(B))) ) => ( r2_hidden(A,a_6_0_aofa_a01(B,C,D,E,F,G)) <=> ? [H] : ( m2_subset_1(H,k4_autalg_1(u1_struct_0(B),u4_aofa_a00(B,C,D,F),u3_msualg_1(B,E)),k12_aofa_a00(B,D,E,u4_aofa_a00(B,C,D,F))) & A = H & k1_funct_1(k1_msafree4(u1_struct_0(B),H,k36_aofa_a00(B)),G) != k1_xboole_0 ) ) ) )).
fof(fraenkel_a_6_0_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(C)) & m1_subset_1(G,k1_zfmisc_1(D)) ) => ( r2_hidden(A,a_6_0_domain_1(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ? [J] : ( m1_subset_1(H,B) & m1_subset_1(I,C) & m1_subset_1(J,D) & A = k4_domain_1(B,C,D,H,I,J) & r2_tarski(H,E) & r2_tarski(I,F) & r2_tarski(J,G) ) ) ) )).
fof(fraenkel_a_6_0_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) & m1_subset_1(F,C) & m1_subset_1(G,k1_funct_1(E,F)) ) => ( r2_hidden(A,a_6_0_functor0(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,B) & A = k4_tarski(H,k7_funcop_1(k1_funct_1(D,H),G)) ) ) ) )).
fof(fraenkel_a_6_0_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_vectsp_2(D) & l6_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(E,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom7(F,B,D) & v3_polynom7(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & m1_subset_1(G,k4_ordinal1) ) => ( r2_hidden(A,a_6_0_groeb_3(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(I,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,H,I) & r2_tarski(H,k3_polynom1(k15_pre_poly(B),D,F)) & r2_tarski(I,k3_polynom1(k15_pre_poly(B),D,k6_groeb_3(B,C,D,E,G))) ) ) ) )).
fof(fraenkel_a_6_0_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,B) & l1_group_9(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,B) & l1_group_9(D,B) & ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & v3_group_9(E,B) & l1_group_9(E,B) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(F,C,D) & v7_group_9(F,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(E)) & v1_group_6(G,D,E) & v7_group_9(G,B,D,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( r2_hidden(A,a_6_0_group_9(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(C)) & A = H & k3_funct_2(u1_struct_0(C),u1_struct_0(E),k11_group_9(B,C,D,E,F,G),H) = k1_group_1(E) ) ) ) )).
fof(fraenkel_a_6_0_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_finset_1(C) & m2_subset_1(D,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & m2_subset_1(E,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) & m1_subset_1(F,u1_struct_0(k5_substlat(B,C))) & m1_subset_1(G,k4_partfun1(D,E)) ) => ( r2_hidden(A,a_6_0_heyting2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k4_partfun1(B,C)) & A = k6_subset_1(k1_funct_1(G,H),H) & r2_tarski(H,F) ) ) ) )).
fof(fraenkel_a_6_0_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m2_finseq_1(F,u1_struct_0(k15_euclid(2))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_0_jordan20(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) & A = H & r1_jordan5c(B,C,D,k7_partfun1(u1_struct_0(k15_euclid(2)),F,G),H) & r1_jordan5c(B,C,D,H,E) ) ) ) )).
fof(fraenkel_a_6_0_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,B) ) => ( r2_hidden(A,a_6_0_lfuzzy_1(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,E,G)),H) & r2_tarski(H,k5_card_3(k1_domain_1(B,B,G,F),D)) ) ) ) )).
fof(fraenkel_a_6_0_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & m1_matrix_1(D,k9_matrix_1(k1_nat_1(B,2))) & m1_matrix_1(E,k9_matrix_1(k1_nat_1(B,2))) & m1_subset_1(F,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_0_matrix11(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k2_sgraph1(k2_finseq_1(k1_nat_1(B,2)))) & A = H & r2_tarski(H,F) & k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,E),H) != k3_funct_2(k2_sgraph1(k2_finseq_1(k1_nat_1(B,2))),u1_struct_0(C),k1_matrix11(B,C,D),H) & r2_tarski(G,H) ) ) ) )).
fof(fraenkel_a_6_0_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) & m1_matrlin(D,B,C) & v2_vectsp_7(E,B,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & ~ v1_xboole_0(F) & m2_vectsp_6(G,B,C,E) ) => ( r2_hidden(A,a_6_0_matrlin(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,F) & A = k3_vectsp_1(B,C,k3_funct_2(u1_struct_0(C),u1_struct_0(B),G,k7_partfun1(u1_struct_0(C),D,H)),k7_partfun1(u1_struct_0(C),D,H)) ) ) ) )).
fof(fraenkel_a_6_0_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(G,k1_zfmisc_1(C)) ) => ( r2_hidden(A,a_6_0_monoid_1(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m1_subset_1(H,B) & m1_subset_1(I,C) & A = k2_binop_1(B,C,D,E,H,I) & r2_tarski(H,F) & r2_tarski(I,G) ) ) ) )).
fof(fraenkel_a_6_0_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u4_struct_0(B)) & v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(B)) & m1_msafree4(F,u1_struct_0(B),E,k1_msafree4(u1_struct_0(B),E,C)) & m1_msafree4(G,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,E))),k3_msualg_1(B,D,k1_msafree3(B,E))) ) => ( r2_hidden(A,a_6_0_msafree5(B,C,D,E,F,G)) <=> ? [H] : ( v7_ordinal1(H) & A = k2_msafree5(k8_relat_1(k1_funct_1(G,k2_xcmplx_0(H,1)),k6_domain_1(k2_zfmisc_1(k1_msafree4(u1_struct_0(B),E,C),u1_struct_0(B)),k1_domain_1(k1_msafree4(u1_struct_0(B),E,C),u1_struct_0(B),F,C))),k14_trees_3(H)) & ~ r1_xxreal_0(k3_finseq_1(G),H) ) ) ) )).
fof(fraenkel_a_6_0_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) & v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_0_msscyc_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & A = H & k8_msafree2(B,C,E,H) = k1_nat_1(D,1) & k1_funct_1(H,k1_xboole_0) = k4_tarski(k1_funct_1(F,G),u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_6_0_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_0_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) & A = k1_funct_1(E,H) & r2_tarski(H,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & r2_tarski(H,a_5_0_nagata_2(B,C,D,F,G)) ) ) ) )).
fof(fraenkel_a_6_0_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_relat_1(D) & ~ v2_struct_0(E) & v6_metric_1(E) & v7_metric_1(E) & v8_metric_1(E) & v9_metric_1(E) & l1_metric_1(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(E)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(E)))))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_0_pcomps_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(E))) & A = k3_tarski(a_5_1_pcomps_2(D,E,F,G,H)) & r2_tarski(H,C) ) ) ) )).
fof(fraenkel_a_6_0_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_0_quantal1(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & A = k6_algstr_0(B,k6_algstr_0(B,F,G),H) & r3_lattices(B,k6_algstr_0(B,H,k6_algstr_0(B,D,E)),C) ) ) ) )).
fof(fraenkel_a_6_0_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & ~ v1_xboole_0(E) & v1_prob_1(E,C) & v4_prob_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v1_funct_1(F) & v1_funct_2(F,B,C) & v1_random_3(F,B,C,D,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & m2_subset_1(G,k1_zfmisc_1(C),E) ) => ( r2_hidden(A,a_6_0_random_3(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,B) & A = H & m1_subset_1(k3_funct_2(B,C,F,H),G) ) ) ) )).
fof(fraenkel_a_6_0_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(B,C)))) & m1_subset_1(G,k1_zfmisc_1(E)) ) => ( r2_hidden(A,a_6_0_relset_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(E,F))) & A = k6_relset_2(E,F,G,H) & r2_tarski(H,D) ) ) ) )).
fof(fraenkel_a_6_0_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v2_pre_topc(C) & v6_rltopsp1(C) & v7_rltopsp1(C) & l1_rltopsp1(C) & v1_finset_1(D) & v1_rlaffin1(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,u1_struct_0(C)) & m2_rlaffin3(F,C,k5_rusub_4(C,D,E)) ) => ( r2_hidden(A,a_6_0_rlaffin3(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(C)) & A = H & r2_tarski(H,k4_rlaffin1(C,k5_rusub_4(C,D,E))) & r2_tarski(k17_finseq_1(k1_numbers,B,k1_rlaffin3(C,k5_rusub_4(C,D,E),F,H)),G) ) ) ) )).
fof(fraenkel_a_6_0_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v7_ordinal1(D) & v1_finset_1(E) & v1_rlaffin1(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v1_finset_1(F) & v1_rlaffin1(F,C) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & v1_funct_1(G) & v1_funct_2(G,k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E))) ) => ( r2_hidden(A,a_6_0_simplex1(B,C,D,E,F,G)) <=> ? [H] : ( m3_simplex0(H,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),k6_xcmplx_0(D,1)) & A = H & k7_relset_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E,G,H) = F & r1_xboole_0(k3_convex1(C,k1_simplex1(C,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),H)),k1_rlaffin2(C,E)) ) ) ) )).
fof(fraenkel_a_6_0_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & v7_ordinal1(F) & m2_subset_1(G,k1_zfmisc_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))),k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) ) => ( r2_hidden(A,a_6_0_simplex2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & A = H & r2_tarski(H,E) & ( r1_tarski(H,k1_funct_1(D,k2_xcmplx_0(F,1))) | r2_tarski(H,G) ) ) ) ) )).
fof(fraenkel_a_6_0_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_srings_1(D,B) & v3_srings_1(D,B) & ~ v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_srings_1(E,C) & v3_srings_1(E,C) & ~ v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(E)) ) => ( r2_hidden(A,a_6_0_srings_2(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m1_subset_1(H,F) & m1_subset_1(I,G) & A = k2_zfmisc_1(H,I) ) ) ) )).
fof(fraenkel_a_6_0_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & m2_pboole(E,C,D,k7_funcop_1(C,u1_struct_0(B))) & ~ v2_struct_0(F) & v4_orders_2(F) & v6_waybel_0(F,B) & v7_waybel_0(F) & l1_waybel_0(F,B) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(u1_struct_0(F),k4_card_3(k1_funct_6(E))),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(F),k4_card_3(k1_funct_6(E))),u1_struct_0(B)))) ) => ( r2_hidden(A,a_6_0_waybel11(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m1_subset_1(H,u1_struct_0(F)) & m1_subset_1(I,k4_card_3(k1_funct_6(E))) & A = k2_yellow_0(B,a_8_0_waybel11(B,C,D,E,F,G,H,I)) ) ) ) )).
fof(fraenkel_a_6_0_waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v2_lattice3(C) & l1_orders_2(C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_subset_1(G,u1_struct_0(k6_waybel_9(B,C,F,k3_waybel17(B,D,E)))) ) => ( r2_hidden(A,a_6_0_waybel17(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k6_waybel_9(B,C,F,k3_waybel17(B,D,E)))) & A = k2_waybel_0(C,k6_waybel_9(B,C,F,k3_waybel17(B,D,E)),H) & r1_orders_2(k6_waybel_9(B,C,F,k3_waybel17(B,D,E)),G,H) ) ) ) )).
fof(fraenkel_a_6_0_waybel25,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) & v4_waybel11(C) & m1_yellow_9(C,B) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(D),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(C)))) & ~ v2_struct_0(F) & v2_pre_topc(F) & l1_pre_topc(F) & m1_subset_1(G,u1_struct_0(F)) ) => ( r2_hidden(A,a_6_0_waybel25(B,C,D,E,F,G)) <=> ? [H] : ( v3_pre_topc(H,F) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(F))) & A = k2_yellow_0(C,k7_relset_1(u1_struct_0(D),u1_struct_0(C),E,k8_subset_1(u1_struct_0(F),H,u1_struct_0(D)))) & r2_tarski(G,H) ) ) ) )).
fof(fraenkel_a_6_0_yellow_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & m2_pboole(E,C,D,k7_funcop_1(C,u1_struct_0(B))) & v1_relat_1(F) & v1_funct_1(F) & m1_subset_1(G,C) ) => ( r2_hidden(A,a_6_0_yellow_7(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k4_card_3(k1_funct_6(E))) & A = k1_funct_1(H,k1_funct_1(F,H)) & k1_funct_1(F,H) = G ) ) ) )).
fof(fraenkel_a_6_1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,k1_funct_1(u3_msualg_1(B,D),E)) ) => ( r2_hidden(A,a_6_1_aofa_a00(B,C,D,E,F,G)) <=> ? [H] : ( m1_trees_1(H,k9_xtuple_0(G)) & A = k5_trees_2(G,H) & k2_xtuple_0(k1_funct_1(k5_trees_2(G,H),k1_xboole_0)) = F ) ) ) )).
fof(fraenkel_a_6_1_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & v2_aofa_i00(B) & l1_unialg_1(B) & ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(D,k1_zfmisc_1(k9_funct_2(C,k4_numbers))) & v1_aofa_i00(E,B,C,D) & m1_aofa_000(E,B,k9_funct_2(C,k4_numbers),D) & m2_aofa_i00(F,B,C,D,E) & m3_aofa_i00(G,B,C,D,E) ) => ( r2_hidden(A,a_6_1_aofa_i00(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & A = H & r2_tarski(H,k18_aofa_000(B)) & ! [I] : ( m2_funct_2(I,C,k4_numbers,k9_funct_2(C,k4_numbers)) => k2_binop_1(k9_funct_2(C,k4_numbers),u1_struct_0(B),k9_funct_2(C,k4_numbers),E,I,H) = k14_funct_7(C,k4_numbers,I,k3_funct_2(k9_funct_2(C,k4_numbers),C,F,I),k3_funct_2(k9_funct_2(C,k4_numbers),k4_numbers,G,I)) ) ) ) ) )).
fof(fraenkel_a_6_1_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(E,D) & v1_polynom7(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & v1_polynom7(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & m1_subset_1(G,k4_ordinal1) ) => ( r2_hidden(A,a_6_1_groeb_3(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(I,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,H,I) & r2_tarski(H,k3_polynom1(k15_pre_poly(B),D,F)) & r2_tarski(I,k3_polynom1(k15_pre_poly(B),D,k6_groeb_3(B,C,D,E,k1_nat_1(G,1)))) ) ) ) )).
fof(fraenkel_a_6_1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v2_group_9(C,B) & v3_group_9(C,B) & l1_group_9(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v2_group_9(D,B) & v3_group_9(D,B) & l1_group_9(D,B) & v2_group_9(E,B) & m1_group_9(E,B,C) & v2_group_9(F,B) & m1_group_9(F,B,D) & v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & v1_group_6(G,E,F) & v7_group_9(G,B,E,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ( r2_hidden(A,a_6_1_group_9(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(E)) & A = H & k3_funct_2(u1_struct_0(E),u1_struct_0(F),G,H) = k1_group_1(F) ) ) ) )).
fof(fraenkel_a_6_1_jordan20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) & m1_subset_1(D,u1_struct_0(k15_euclid(2))) & m1_subset_1(E,u1_struct_0(k15_euclid(2))) & m2_finseq_1(F,u1_struct_0(k15_euclid(2))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_1_jordan20(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) & A = H & r1_jordan5c(B,C,D,E,H) & r1_jordan5c(B,C,D,H,k7_partfun1(u1_struct_0(k15_euclid(2)),F,k1_nat_1(G,1))) ) ) ) )).
fof(fraenkel_a_6_1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,B) ) => ( r2_hidden(A,a_6_1_lfuzzy_1(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,E,G)),k9_lfuzzy_0(k2_zfmisc_1(B,B),H,k1_domain_1(B,B,G,F))) & r2_tarski(H,D) ) ) ) )).
fof(fraenkel_a_6_1_msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v2_finset_1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) & v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( r2_hidden(A,a_6_1_msscyc_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(B,k11_msafree(B,C)),E)) & A = H & k8_msafree2(B,C,E,H) = k1_nat_1(D,1) & k1_funct_1(H,k1_xboole_0) = k4_tarski(k1_funct_1(F,G),u1_struct_0(B)) ) ) ) )).
fof(fraenkel_a_6_1_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_1_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) & A = k1_funct_1(E,H) & r2_tarski(H,a_5_0_nagata_2(B,C,D,F,G)) ) ) ) )).
fof(fraenkel_a_6_1_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_relat_1(D) & ~ v2_struct_0(E) & v6_metric_1(E) & v7_metric_1(E) & v8_metric_1(E) & v9_metric_1(E) & l1_metric_1(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(E)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(E)))))) & m1_subset_1(G,k4_ordinal1) ) => ( r2_hidden(A,a_6_1_pcomps_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(E))) & A = k3_tarski(a_5_2_pcomps_2(D,E,F,G,H)) & r2_tarski(H,C) ) ) ) )).
fof(fraenkel_a_6_1_quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v3_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_1_quantal1(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & A = k6_algstr_0(B,k6_algstr_0(B,F,G),H) & r2_tarski(H,a_4_4_quantal1(B,C,D,E)) ) ) ) )).
fof(fraenkel_a_6_1_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m1_subset_1(F,u1_struct_0(k15_euclid(B))) & m2_rlaffin3(G,k15_euclid(B),k5_rusub_4(k15_euclid(B),D,k4_algstr_0(k15_euclid(B),F))) ) => ( r2_hidden(A,a_6_1_rlaffin3(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(B))) & A = H & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),k5_rusub_4(k15_euclid(B),D,k4_algstr_0(k15_euclid(B),F)),G,H)),E) ) ) ) )).
fof(fraenkel_a_6_1_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v7_ordinal1(D) & v1_finset_1(E) & v1_rlaffin1(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v1_finset_1(F) & v1_rlaffin1(F,C) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & v1_funct_1(G) & v1_funct_2(G,k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E))) ) => ( r2_hidden(A,a_6_1_simplex1(B,C,D,E,F,G)) <=> ? [H] : ( m3_simplex0(H,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),D) & A = H & F = k7_relset_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E,G,H) ) ) ) )).
fof(fraenkel_a_6_1_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & m2_finseq_1(F,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_1_simplex2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & A = H & r2_tarski(H,E) & ( r1_tarski(H,k1_funct_1(D,k2_xcmplx_0(G,1))) | r2_tarski(H,k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))),F,G)) ) ) ) ) )).
fof(fraenkel_a_6_1_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v4_srings_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v4_srings_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v4_card_3(F) & m1_subset_1(F,k1_zfmisc_1(D)) & v4_card_3(G) & m1_subset_1(G,k1_zfmisc_1(E)) ) => ( r2_hidden(A,a_6_1_srings_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(B,C))) & A = H & ? [I] : ? [J] : ( r2_tarski(I,k7_subset_1(D,F,k1_tarski(k1_xboole_0))) & r2_tarski(J,k7_subset_1(E,G,k1_tarski(k1_xboole_0))) & H = k2_zfmisc_1(I,J) ) ) ) ) )).
fof(fraenkel_a_6_1_yellow_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & m2_pboole(E,C,D,k7_funcop_1(C,u1_struct_0(B))) & v1_relat_1(F) & v1_funct_1(F) ) => ( r2_hidden(A,a_6_1_yellow_7(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k4_card_3(k1_funct_6(E))) & A = k1_funct_1(H,k1_funct_1(F,H)) & k1_funct_1(F,H) = G ) ) ) )).
fof(fraenkel_a_6_2_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & l3_msualg_1(D,B) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_msafree4(G,u1_struct_0(B),u3_msualg_1(B,D),k1_msafree4(u1_struct_0(B),u3_msualg_1(B,D),E)) ) => ( r2_hidden(A,a_6_2_aofa_a00(B,C,D,E,F,G)) <=> ? [H] : ( m1_trees_1(H,k9_xtuple_0(G)) & A = k5_trees_2(G,H) & k2_xtuple_0(k1_funct_1(k5_trees_2(G,H),k1_xboole_0)) = F ) ) ) )).
fof(fraenkel_a_6_2_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & v2_aofa_i00(B) & l1_unialg_1(B) & ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(D,C) & v1_aofa_i00(E,B,C,k1_aofa_i00(k9_funct_2(C,k4_numbers),D,k5_numbers)) & m1_aofa_000(E,B,k9_funct_2(C,k4_numbers),k1_aofa_i00(k9_funct_2(C,k4_numbers),D,k5_numbers)) & m1_aofa_i00(F,C,u1_struct_0(B),k9_funct_2(C,k4_numbers),E) & m1_aofa_i00(G,C,u1_struct_0(B),k9_funct_2(C,k4_numbers),E) ) => ( r2_hidden(A,a_6_2_aofa_i00(B,C,D,E,F,G)) <=> ? [H] : ( m2_funct_2(H,C,k4_numbers,k9_funct_2(C,k4_numbers)) & A = H & ~ r1_xxreal_0(k21_aofa_i00(C,k4_numbers,H,F),k21_aofa_i00(C,k4_numbers,H,G)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(C,k4_numbers,H,G)) ) ) ) )).
fof(fraenkel_a_6_2_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(E,D) & v1_polynom7(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & v1_polynom7(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & m1_subset_1(G,k4_ordinal1) ) => ( r2_hidden(A,a_6_2_groeb_3(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(I,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,H,I) & r2_tarski(H,k3_polynom1(k15_pre_poly(B),D,k6_termord(B,C,D,E))) & r2_tarski(I,k3_polynom1(k15_pre_poly(B),D,k6_groeb_3(B,C,D,F,k1_nat_1(G,1)))) ) ) ) )).
fof(fraenkel_a_6_2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,B) ) => ( r2_hidden(A,a_6_2_lfuzzy_1(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),H,k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,G,F))) & r2_tarski(H,k5_card_3(k1_domain_1(B,B,E,G),D)) ) ) ) )).
fof(fraenkel_a_6_2_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_2_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) & A = k1_funct_1(E,H) & r2_tarski(H,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(B),k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ~ ( k1_funct_1(E,H) = I & r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,I,F),k5_numbers) & r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,I,G),k5_numbers) ) ) ) ) ) )).
fof(fraenkel_a_6_2_pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_relat_1(D) & ~ v2_struct_0(E) & v6_metric_1(E) & v7_metric_1(E) & v8_metric_1(E) & v9_metric_1(E) & l1_metric_1(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(E)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(E)))))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_2_pcomps_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(E))) & A = k3_tarski(a_5_4_pcomps_2(D,E,F,G,H)) & r2_tarski(H,C) ) ) ) )).
fof(fraenkel_a_6_2_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m1_subset_1(F,u1_struct_0(k15_euclid(B))) & m2_rlaffin3(G,k15_euclid(B),k5_rusub_4(k15_euclid(B),D,k4_algstr_0(k15_euclid(B),F))) ) => ( r2_hidden(A,a_6_2_rlaffin3(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(B))) & A = H & r2_tarski(H,k4_rlaffin1(k15_euclid(B),k5_rusub_4(k15_euclid(B),D,k4_algstr_0(k15_euclid(B),F)))) & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),k5_rusub_4(k15_euclid(B),D,k4_algstr_0(k15_euclid(B),F)),G,H)),E) ) ) ) )).
fof(fraenkel_a_6_2_simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v7_ordinal1(D) & v1_finset_1(E) & v1_rlaffin1(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v1_finset_1(F) & v1_rlaffin1(F,C) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & v1_funct_1(G) & v1_funct_2(G,k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E))) ) => ( r2_hidden(A,a_6_2_simplex1(B,C,D,E,F,G)) <=> ? [H] : ( m3_simplex0(H,k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E))),k6_xcmplx_0(D,1)) & A = H & F = k7_relset_1(k4_simplex0(k5_simplex1(B,C,k5_simplex0(u1_struct_0(C),k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),E)))),E,G,H) ) ) ) )).
fof(fraenkel_a_6_2_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & m2_finseq_1(F,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & m1_subset_1(G,k4_ordinal1) ) => ( r2_hidden(A,a_6_2_simplex2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & A = H & r2_tarski(H,E) & ( r1_tarski(H,k1_funct_1(D,k2_xcmplx_0(G,1))) | r2_tarski(H,k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))),F,G)) ) ) ) ) )).
fof(fraenkel_a_6_2_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v4_srings_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v4_srings_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v4_card_3(F) & m1_subset_1(F,k1_zfmisc_1(D)) & v4_card_3(G) & m1_subset_1(G,k1_zfmisc_1(E)) ) => ( r2_hidden(A,a_6_2_srings_2(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m1_subset_1(H,F) & m1_subset_1(I,G) & A = k2_zfmisc_1(H,I) & r2_tarski(H,k7_subset_1(D,F,k1_tarski(k1_xboole_0))) & r2_tarski(I,k7_subset_1(E,G,k1_tarski(k1_xboole_0))) ) ) ) )).
fof(fraenkel_a_6_3_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & l1_aofa_a00(D,B) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,k1_funct_1(u3_msualg_1(B,D),E)) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_3_aofa_a00(B,C,D,E,F,G)) <=> ? [H] : ( m1_trees_1(H,k9_xtuple_0(F)) & A = k5_trees_2(F,H) & k2_xtuple_0(k1_funct_1(k5_trees_2(F,H),k1_xboole_0)) = G ) ) ) )).
fof(fraenkel_a_6_3_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & v2_aofa_i00(B) & l1_unialg_1(B) & ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(D,C) & v1_aofa_i00(E,B,C,k1_aofa_i00(k9_funct_2(C,k4_numbers),D,k5_numbers)) & m1_aofa_000(E,B,k9_funct_2(C,k4_numbers),k1_aofa_i00(k9_funct_2(C,k4_numbers),D,k5_numbers)) & m1_aofa_i00(F,C,u1_struct_0(B),k9_funct_2(C,k4_numbers),E) & m1_aofa_i00(G,C,u1_struct_0(B),k9_funct_2(C,k4_numbers),E) ) => ( r2_hidden(A,a_6_3_aofa_i00(B,C,D,E,F,G)) <=> ? [H] : ( m2_funct_2(H,C,k4_numbers,k9_funct_2(C,k4_numbers)) & A = H & r1_xxreal_0(k5_numbers,k21_aofa_i00(C,k4_numbers,H,F)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(C,k4_numbers,H,G)) ) ) ) )).
fof(fraenkel_a_6_3_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B))))) & m1_subset_1(E,B) & m1_subset_1(F,B) & m1_subset_1(G,B) ) => ( r2_hidden(A,a_6_3_lfuzzy_1(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(B,B)))) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k9_lfuzzy_0(k2_zfmisc_1(B,B),H,k1_domain_1(B,B,E,G)),k7_lfuzzy_0(k2_zfmisc_1(B,B),C,k1_domain_1(B,B,G,F))) & r2_tarski(H,D) ) ) ) )).
fof(fraenkel_a_6_3_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_relat_1(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_3_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(C))) & A = k3_tarski(a_5_1_nagata_2(C,E,F,G,H)) & r2_tarski(H,D) ) ) ) )).
fof(fraenkel_a_6_3_rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & v1_rlaffin1(D,k15_euclid(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(C)))) & m1_subset_1(F,u1_struct_0(k15_euclid(B))) & m2_rlaffin3(G,k15_euclid(B),k5_rusub_4(k15_euclid(B),D,k4_algstr_0(k15_euclid(B),F))) ) => ( r2_hidden(A,a_6_3_rlaffin3(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(k1_pre_topc(k15_euclid(B),k7_relset_1(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(B)),k3_rltopsp1(k15_euclid(B),k4_algstr_0(k15_euclid(B),F)),k4_rlaffin1(k15_euclid(B),D))))) & A = H & r2_tarski(k17_finseq_1(k1_numbers,C,k1_rlaffin3(k15_euclid(B),k5_rusub_4(k15_euclid(B),D,k4_algstr_0(k15_euclid(B),F)),G,H)),E) ) ) ) )).
fof(fraenkel_a_6_3_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & m2_finseq_1(F,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_3_simplex2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & A = H & r2_tarski(H,E) & ( r1_tarski(H,k1_funct_1(D,k2_xcmplx_0(G,1))) | r2_tarski(H,k1_funct_1(F,G)) ) ) ) ) )).
fof(fraenkel_a_6_3_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v4_srings_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v4_srings_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v4_card_3(F) & m1_subset_1(F,k1_zfmisc_1(D)) & v4_card_3(G) & m1_subset_1(G,k1_zfmisc_1(E)) ) => ( r2_hidden(A,a_6_3_srings_2(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m1_subset_1(H,F) & m1_subset_1(I,G) & A = k4_tarski(k2_zfmisc_1(H,I),k4_tarski(H,I)) & r2_tarski(H,k7_subset_1(D,F,k1_tarski(k1_xboole_0))) & r2_tarski(I,k7_subset_1(E,G,k1_tarski(k1_xboole_0))) ) ) ) )).
fof(fraenkel_a_6_4_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & l1_aofa_a00(D,B) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,k1_funct_1(u3_msualg_1(B,D),E)) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_4_aofa_a00(B,C,D,E,F,G)) <=> ? [H] : ( m1_trees_1(H,k9_xtuple_0(F)) & A = k5_trees_2(F,H) & k2_xtuple_0(k1_funct_1(k5_trees_2(F,H),k1_xboole_0)) = G ) ) ) )).
fof(fraenkel_a_6_4_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_relat_1(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))))) & m1_subset_1(G,k4_ordinal1) ) => ( r2_hidden(A,a_6_4_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(C))) & A = k3_tarski(a_5_2_nagata_2(C,E,F,G,H)) & r2_tarski(H,D) ) ) ) )).
fof(fraenkel_a_6_4_simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) & v7_ordinal1(F) & m1_subset_1(G,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C))))) ) => ( r2_hidden(A,a_6_4_simplex2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(B),C)))) & A = H & r2_tarski(H,E) & ( r1_tarski(H,k1_funct_1(D,k2_xcmplx_0(F,1))) | r2_tarski(H,G) ) ) ) ) )).
fof(fraenkel_a_6_4_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v4_srings_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v4_srings_1(E,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(C))) & v4_card_3(F) & m1_subset_1(F,k1_zfmisc_1(D)) & v4_card_3(G) & m1_subset_1(G,k1_zfmisc_1(E)) ) => ( r2_hidden(A,a_6_4_srings_2(B,C,D,E,F,G)) <=> ? [H] : ? [I] : ( m1_subset_1(H,k7_subset_1(D,F,k1_tarski(k1_xboole_0))) & m1_subset_1(I,k7_subset_1(E,G,k1_tarski(k1_xboole_0))) & A = k2_zfmisc_1(H,I) & r2_tarski(H,k7_subset_1(D,F,k1_tarski(k1_xboole_0))) & r2_tarski(I,k7_subset_1(E,G,k1_tarski(k1_xboole_0))) ) ) ) )).
fof(fraenkel_a_6_5_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & v1_relat_1(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_5_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(C)) & A = k8_metric_1(C,H,k7_xcmplx_0(1,k11_newton(2,k1_nat_1(G,1)))) & r2_tarski(H,k7_subset_1(u1_struct_0(C),F,k1_pcomps_2(k1_zfmisc_1(u1_struct_0(C)),D,F))) & r1_tarski(k8_metric_1(C,H,k7_xcmplx_0(3,k11_newton(2,k1_nat_1(G,1)))),F) & ~ r2_tarski(H,k3_tarski(a_3_5_nagata_2(B,E,G))) ) ) ) )).
fof(fraenkel_a_6_6_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(G,u1_struct_0(B)) ) => ( r2_hidden(A,a_6_6_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) & A = k1_funct_1(E,H) & r2_tarski(H,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & r2_tarski(H,a_6_7_nagata_2(B,C,D,F,G,H)) ) ) ) )).
fof(fraenkel_a_6_7_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) ) => ( r2_hidden(A,a_6_7_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) & A = G & r2_tarski(G,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D)) & ~ r1_xboole_0(G,k3_funct_2(u1_struct_0(B),k9_setfam_1(u1_struct_0(B)),E,F)) ) ) ) )).
fof(fraenkel_a_6_8_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_relat_1(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(C)))))) & v7_ordinal1(G) ) => ( r2_hidden(A,a_6_8_nagata_2(B,C,D,E,F,G)) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(C))) & A = k3_tarski(a_5_4_nagata_2(C,E,F,G,H)) & r2_tarski(H,D) ) ) ) )).
fof(fraenkel_a_7_0_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v16_aofa_a00(B) & v18_aofa_a00(B,4,1) & l6_aofa_a00(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & v1_aofa_a01(D,B) & l1_aofa_a00(D,B) & v4_msualg_1(E,B) & v4_msafree4(E,B,D) & v17_aofa_a00(E,B) & v20_aofa_a00(E,4,1,B) & l3_msualg_1(E,B) & v4_aofa_a01(F,B,C,D) & l4_aofa_a00(F,B,C,D) & v19_aofa_a00(G,B) & m1_subset_1(G,u1_struct_0(B)) & v3_aofa_a01(H,B,C,D,u4_aofa_a00(B,C,D,F),G) & m1_msafree4(H,u1_struct_0(B),u4_aofa_a00(B,C,D,F),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,F),G)) ) => ( r2_hidden(A,a_7_0_aofa_a01(B,C,D,E,F,G,H)) <=> ? [I] : ( m2_subset_1(I,k4_autalg_1(u1_struct_0(B),u4_aofa_a00(B,C,D,F),u3_msualg_1(B,E)),k12_aofa_a00(B,D,E,u4_aofa_a00(B,C,D,F))) & A = I & r1_xxreal_0(k5_numbers,k1_funct_1(k1_msafree4(u1_struct_0(B),I,G),H)) ) ) ) )).
fof(fraenkel_a_7_0_chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) & v6_chord(B) & m1_subset_1(C,k6_glib_000(B)) & m1_subset_1(D,k6_glib_000(B)) & m2_chord(E,B,C,D) & m2_glib_000(F,B,k6_subset_1(k6_glib_000(B),E),k21_glib_000(B,k6_subset_1(k6_glib_000(B),E))) & m1_subset_1(G,k6_glib_000(F)) & ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(k6_glib_000(B))) ) => ( r2_hidden(A,a_7_0_chord(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,k6_glib_000(B)) & A = k4_card_1(k9_subset_1(k6_glib_000(B),k2_chord(B,k1_tarski(I)),H)) & r2_tarski(I,k1_glib_002(F,G)) ) ) ) )).
fof(fraenkel_a_7_0_equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & v4_msualg_1(D,B) & l3_msualg_1(D,B) & m1_pralg_2(E,C,B) & ~ v1_xboole_0(F) & v1_funct_1(G) & v1_funct_2(G,F,k6_closure2(u1_struct_0(B),u3_msualg_1(B,D))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(F,k6_closure2(u1_struct_0(B),u3_msualg_1(B,D))))) ) => ( r2_hidden(A,a_7_0_equation(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_funct_1(u3_msualg_1(B,D),H))) & A = I & ? [J] : ( m1_subset_1(J,C) & ? [K] : ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(B)) & v1_funct_1(K) & v1_partfun1(K,u1_struct_0(B)) & K = k1_funct_1(G,k5_pralg_2(C,B,E,J)) & I = k1_funct_1(K,H) ) ) ) ) ) )).
fof(fraenkel_a_7_0_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v7_ordinal1(D) & v1_xreal_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_finance1(G) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)))) ) => ( r2_hidden(A,a_7_0_finance1(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,B) & A = I & r1_xxreal_0(k3_xcmplx_0(k2_xcmplx_0(1,E),k5_finance1(D,F,G)),k12_finance1(D,F,B,C,k6_finance1(B,k1_numbers,C,k12_prob_1),H,I)) ) ) ) )).
fof(fraenkel_a_7_0_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v7_ordinal1(E) & ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(C)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,F))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( r2_hidden(A,a_7_0_fomodel3(B,C,D,E,F,G,H)) <=> ? [I] : ? [J] : ( m2_finseq_2(I,B,k4_finseq_2(E,B)) & m2_finseq_2(J,D,k4_finseq_2(E,D)) & A = k1_domain_1(k4_finseq_2(E,B),k4_finseq_2(E,D),I,J) & r1_relset_1(k4_ordinal1,D,J,k4_relset_1(k4_ordinal1,B,B,D,I,k4_relset_1(B,F,C,D,G,H))) ) ) ) )).
fof(fraenkel_a_7_0_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v3_ordinal1(B) & v1_partfun1(C,k15_pre_poly(B)) & v1_relat_2(C) & v4_relat_2(C) & v6_relat_2(C) & v8_relat_2(C) & v2_bagorder(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),k15_pre_poly(B)))) & ~ v7_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(E,D) & v1_polynom7(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(F,D) & v1_polynom7(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(D)) & v1_polynom1(G,D) & v1_polynom7(G,B,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(D)))) & m1_subset_1(H,k4_ordinal1) ) => ( r2_hidden(A,a_7_0_groeb_3(B,C,D,E,F,G,H)) <=> ? [I] : ? [J] : ( m2_subset_1(I,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(J,k14_pre_poly(B),k15_pre_poly(B)) & A = k11_pre_poly(B,I,J) & r2_tarski(I,k3_polynom1(k15_pre_poly(B),D,k5_termord(B,C,D,E))) & r2_tarski(J,k3_polynom1(k15_pre_poly(B),D,k7_polynom1(B,D,G,k6_groeb_3(B,C,D,F,k1_nat_1(H,1))))) ) ) ) )).
fof(fraenkel_a_7_0_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & m1_subset_1(G,B) & m1_subset_1(H,D) ) => ( r2_hidden(A,a_7_0_lfuzzy_0(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,C) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,C,E,G,I),k8_lfuzzy_0(C,D,F,I,H)) ) ) ) )).
fof(fraenkel_a_7_0_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & m1_subset_1(G,B) & m1_subset_1(H,D) ) => ( r2_hidden(A,a_7_0_lfuzzy_1(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,C) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(B,C),E,k1_domain_1(B,C,G,I)),k7_lfuzzy_0(k2_zfmisc_1(C,D),F,k1_domain_1(C,D,I,H))) ) ) ) )).
fof(fraenkel_a_7_0_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,B) & l1_vectsp_1(D,B) & m1_matrlin(E,B,C) & m1_matrlin(F,B,D) & m1_subset_1(G,u1_struct_0(B)) & v1_funct_1(H) & v1_funct_2(H,u1_struct_0(C),u1_struct_0(D)) & v13_vectsp_1(H,C,D) & v1_mod_2(H,B,C,D) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( r2_hidden(A,a_7_0_matrixj2(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,k4_ordinal1) & A = I & r2_tarski(I,k4_finseq_1(E)) & k3_funct_2(u1_struct_0(C),u1_struct_0(D),H,k7_partfun1(u1_struct_0(C),E,I)) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),F,I)) ) ) ) )).
fof(fraenkel_a_7_0_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & v1_funct_1(F) & v1_funct_2(F,k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)))) & m1_subset_1(G,u1_struct_0(B)) & m1_subset_1(H,u1_struct_0(B)) ) => ( r2_hidden(A,a_7_0_nagata_2(B,C,D,E,F,G,H)) <=> ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(B),k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & A = k1_funct_1(F,I) & r2_tarski(I,a_6_2_nagata_2(B,C,D,E,G,H)) ) ) ) )).
fof(fraenkel_a_7_0_zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) & v1_relat_1(C) & v2_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & v5_ordinal1(C) & v1_zf_refle(C,B) & v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & v3_ordinal1(F) & m1_subset_1(F,B) & m1_subset_1(G,k5_zf_refle(B,C,F)) & v1_funct_1(H) & v1_funct_2(H,k1_zf_lang,k5_zf_refle(B,C,F)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(B,C,F)))) ) => ( r2_hidden(A,a_7_0_zf_fund2(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,k5_zf_refle(B,C,F)) & A = I & r1_zf_model(k5_zf_refle(B,C,F),k2_zf_lang1(k5_zf_refle(B,C,F),k2_zf_lang1(k5_zf_refle(B,C,F),k2_zf_lang1(k5_zf_refle(B,C,F),H,k2_zf_lang(k5_numbers),k3_funct_2(k1_zf_lang,k5_zf_refle(B,C,F),H,k2_zf_lang(4))),k2_zf_lang(k1_nat_1(E,10)),G),k2_zf_lang(k5_numbers),I),k12_zf_lang(k2_zf_lang(3),k6_zf_lang(k4_zf_lang(k2_zf_lang(3),k2_zf_lang(k1_nat_1(E,10))),k6_zf_lang1(k6_zf_lang1(D,k2_zf_lang(k5_numbers),k2_zf_lang(k1_nat_1(E,5))),k2_zf_lang(4),k2_zf_lang(k5_numbers))))) ) ) ) )).
fof(fraenkel_a_7_1_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v13_aofa_a00(B) & v16_aofa_a00(B) & v18_aofa_a00(B,4,1) & v21_aofa_a00(B,1,1,11) & v23_aofa_a00(B,11) & l6_aofa_a00(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v4_msualg_1(D,B) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & v6_aofa_a01(D,B) & l1_aofa_a00(D,B) & v4_aofa_a01(E,B,C,D) & l4_aofa_a00(E,B,C,D) & v19_aofa_a00(F,B) & m1_subset_1(F,u1_struct_0(B)) & v3_aofa_a01(G,B,C,D,u4_aofa_a00(B,C,D,E),F) & m1_msafree4(G,u1_struct_0(B),u4_aofa_a00(B,C,D,E),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,E),F)) & v3_aofa_a01(H,B,C,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B)) & m1_msafree4(H,u1_struct_0(B),u4_aofa_a00(B,C,D,E),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,E),k36_aofa_a00(B))) ) => ( r2_hidden(A,a_7_1_aofa_a01(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_trees_1(I,k9_xtuple_0(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)))) & A = k5_trees_2(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)),I) & k2_xtuple_0(k1_funct_1(k5_trees_2(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)),I),k1_xboole_0)) = k36_aofa_a00(B) ) ) ) )).
fof(fraenkel_a_7_1_finance1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & v7_ordinal1(D) & v1_xreal_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_finance1(G) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_finance1(B,k1_numbers,C,k12_prob_1)))) ) => ( r2_hidden(A,a_7_1_finance1(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_subset_1(I,B) & A = I & ~ r1_xxreal_0(k12_finance1(D,F,B,C,k6_finance1(B,k1_numbers,C,k12_prob_1),H,I),k3_xcmplx_0(k2_xcmplx_0(1,E),k5_finance1(D,F,G))) ) ) ) )).
fof(fraenkel_a_7_2_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v13_aofa_a00(B) & v16_aofa_a00(B) & v18_aofa_a00(B,4,1) & v21_aofa_a00(B,1,1,11) & v23_aofa_a00(B,11) & l6_aofa_a00(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v4_msualg_1(D,B) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & v6_aofa_a01(D,B) & l1_aofa_a00(D,B) & v4_aofa_a01(E,B,C,D) & l4_aofa_a00(E,B,C,D) & v19_aofa_a00(F,B) & m1_subset_1(F,u1_struct_0(B)) & v3_aofa_a01(G,B,C,D,u4_aofa_a00(B,C,D,E),F) & m1_msafree4(G,u1_struct_0(B),u4_aofa_a00(B,C,D,E),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,E),F)) & v3_aofa_a01(H,B,C,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B)) & m1_msafree4(H,u1_struct_0(B),u4_aofa_a00(B,C,D,E),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,E),k36_aofa_a00(B))) ) => ( r2_hidden(A,a_7_2_aofa_a01(B,C,D,E,F,G,H)) <=> ? [I] : ( m1_trees_1(I,k9_xtuple_0(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)))) & A = k5_trees_2(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)),I) & k2_xtuple_0(k1_funct_1(k5_trees_2(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)),I),k1_xboole_0)) = F ) ) ) )).
fof(fraenkel_a_8_0_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v13_aofa_a00(B) & v16_aofa_a00(B) & v18_aofa_a00(B,4,1) & v21_aofa_a00(B,1,1,11) & v23_aofa_a00(B,11) & l6_aofa_a00(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v4_msualg_1(D,B) & v5_msafree4(D,B,C) & v6_msafree4(D,B,C) & v7_msafree4(D,B,C) & v8_msafree4(D,B,C) & v3_aofa_a00(D,B,C) & v6_aofa_a01(D,B) & l1_aofa_a00(D,B) & v4_aofa_a01(E,B,C,D) & l4_aofa_a00(E,B,C,D) & v19_aofa_a00(F,B) & m1_subset_1(F,u1_struct_0(B)) & v3_aofa_a01(G,B,C,D,u4_aofa_a00(B,C,D,E),F) & m1_msafree4(G,u1_struct_0(B),u4_aofa_a00(B,C,D,E),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,E),F)) & v3_aofa_a01(H,B,C,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B)) & m1_msafree4(H,u1_struct_0(B),u4_aofa_a00(B,C,D,E),k1_msafree4(u1_struct_0(B),u4_aofa_a00(B,C,D,E),k36_aofa_a00(B))) & m1_subset_1(I,u1_struct_0(B)) ) => ( r2_hidden(A,a_8_0_aofa_a01(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m1_trees_1(J,k9_xtuple_0(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)))) & A = k5_trees_2(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)),J) & k2_xtuple_0(k1_funct_1(k5_trees_2(k38_aofa_a00(B,D,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),k36_aofa_a00(B),H),F,k4_aofa_a01(B,D,u4_aofa_a00(B,C,D,E),F,G)),J),k1_xboole_0)) = I ) ) ) )).
fof(fraenkel_a_8_0_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(I,k1_zfmisc_1(E)) ) => ( r2_hidden(A,a_8_0_domain_1(B,C,D,E,F,G,H,I)) <=> ? [J] : ? [K] : ? [L] : ? [M] : ( m1_subset_1(J,B) & m1_subset_1(K,C) & m1_subset_1(L,D) & m1_subset_1(M,E) & A = k5_domain_1(B,C,D,E,J,K,L,M) & r2_tarski(J,F) & r2_tarski(K,G) & r2_tarski(L,H) & r2_tarski(M,I) ) ) ) )).
fof(fraenkel_a_8_0_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & v1_xreal_0(E) & m1_subset_1(F,u1_struct_0(k15_euclid(2))) & m1_subset_1(G,u1_struct_0(k15_euclid(2))) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_hidden(A,a_8_0_jordan(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m1_subset_1(J,u1_struct_0(k15_euclid(2))) & A = J & r1_jordan5c(I,F,G,F,J) & r1_jordan5c(I,F,G,J,k1_jordan5c(H,k1_sppol_2(B,C,D,E),F,G)) ) ) ) )).
fof(fraenkel_a_8_0_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & m1_subset_1(G,B) & m1_subset_1(H,D) & m1_subset_1(I,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) ) => ( r2_hidden(A,a_8_0_lfuzzy_0(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m1_subset_1(J,C) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,C,E,G,J),k8_lfuzzy_0(C,D,F,J,H)),I) ) ) ) )).
fof(fraenkel_a_8_0_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & v1_funct_1(G) & v1_funct_2(G,k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)))) & m1_subset_1(H,u1_struct_0(B)) & m1_subset_1(I,u1_struct_0(B)) ) => ( r2_hidden(A,a_8_0_nagata_2(B,C,D,E,F,G,H,I)) <=> ? [J] : ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(B),k1_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & A = k1_funct_1(G,J) & r2_tarski(J,k2_xboole_0(a_6_0_nagata_2(B,C,D,E,F,H),a_6_0_nagata_2(B,C,D,E,F,I))) ) ) ) )).
fof(fraenkel_a_8_0_waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & m2_pboole(E,C,D,k7_funcop_1(C,u1_struct_0(B))) & ~ v2_struct_0(F) & v4_orders_2(F) & v6_waybel_0(F,B) & v7_waybel_0(F) & l1_waybel_0(F,B) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(u1_struct_0(F),k4_card_3(k1_funct_6(E))),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(F),k4_card_3(k1_funct_6(E))),u1_struct_0(B)))) & m1_subset_1(H,u1_struct_0(F)) & m1_subset_1(I,k4_card_3(k1_funct_6(E))) ) => ( r2_hidden(A,a_8_0_waybel11(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m1_subset_1(J,u1_struct_0(F)) & A = k2_binop_1(u1_struct_0(F),k4_card_3(k1_funct_6(E)),u1_struct_0(B),G,J,I) & r1_orders_2(F,H,J) ) ) ) )).
fof(fraenkel_a_8_0_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & ~ v2_struct_0(E) & v2_pre_topc(E) & l1_pre_topc(E) & m3_yellow_9(F,B,C) & m3_yellow_9(G,D,E) & v1_tops_2(H,G) & v1_cantor_1(H,G) & m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(G)))) & v1_tops_2(I,F) & v1_cantor_1(I,F) & m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(F)))) ) => ( r2_hidden(A,a_8_0_yellow12(B,C,D,E,F,G,H,I)) <=> ? [J] : ? [K] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(F))) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(G))) & A = k3_borsuk_1(F,G,J,K) & r2_tarski(J,I) & r2_tarski(K,H) ) ) ) )).
fof(fraenkel_a_8_1_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & m1_subset_1(G,B) & m1_subset_1(H,D) & m1_subset_1(I,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) ) => ( r2_hidden(A,a_8_1_lfuzzy_0(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m1_subset_1(J,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),J,I) & r2_tarski(J,a_7_0_lfuzzy_0(B,C,D,E,F,G,H)) ) ) ) )).
fof(fraenkel_a_8_1_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & v1_funct_1(G) & v1_funct_2(G,k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)))) & m1_subset_1(H,u1_struct_0(B)) & m1_subset_1(I,u1_struct_0(B)) ) => ( r2_hidden(A,a_8_1_nagata_2(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m2_funct_2(J,u1_struct_0(B),k1_numbers,k9_funct_2(u1_struct_0(B),k1_numbers)) & A = k1_funct_1(G,J) & r2_tarski(J,k2_xboole_0(a_6_0_nagata_2(B,C,D,E,F,H),a_6_0_nagata_2(B,C,D,E,F,I))) ) ) ) )).
fof(fraenkel_a_8_2_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & m1_subset_1(G,B) & m1_subset_1(H,D) & m1_subset_1(I,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) ) => ( r2_hidden(A,a_8_2_lfuzzy_0(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m1_subset_1(J,C) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),I,k8_lfuzzy_0(B,C,E,G,J)),k8_lfuzzy_0(C,D,F,J,H)) ) ) ) )).
fof(fraenkel_a_8_2_nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))),C,D),k9_funct_2(u1_struct_0(B),k1_numbers)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k9_setfam_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(B))))) & v1_funct_1(G) & v1_funct_2(G,k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(B),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(B,B)),k1_numbers)))) & m1_subset_1(H,u1_struct_0(B)) & m1_subset_1(I,u1_struct_0(B)) ) => ( r2_hidden(A,a_8_2_nagata_2(B,C,D,E,F,G,H,I)) <=> ? [J] : ( m1_subset_1(J,k9_funct_2(u1_struct_0(B),k1_numbers)) & A = k1_funct_1(G,J) & r2_tarski(J,k2_xboole_0(a_6_6_nagata_2(B,C,D,E,F,H),a_6_6_nagata_2(B,C,D,E,F,I))) ) ) ) )).
fof(fraenkel_a_9_0_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & v5_relat_1(H,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(D,E),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,E),k1_numbers))) & m1_subset_1(I,E) & m1_subset_1(J,B) ) => ( r2_hidden(A,a_9_0_lfuzzy_0(B,C,D,E,F,G,H,I,J)) <=> ? [K] : ( m1_subset_1(K,D) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_10_0_lfuzzy_0(B,C,D,E,F,G,H,I,J,K)) ) ) ) )).
fof(fraenkel_a_9_0_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,B) & l1_vectsp_1(D,B) & m1_subset_1(E,u1_struct_0(B)) & v1_vectsp_7(F,B,D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) & v1_vectsp_7(G,B,C) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) & m1_matrlin(H,B,k1_vectsp_7(B,D,F)) & m1_matrlin(I,B,k1_vectsp_7(B,C,G)) & v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k1_vectsp_7(B,C,G)),u1_struct_0(k1_vectsp_7(B,D,F))) & v13_vectsp_1(J,k1_vectsp_7(B,C,G),k1_vectsp_7(B,D,F)) & v1_mod_2(J,B,k1_vectsp_7(B,C,G),k1_vectsp_7(B,D,F)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_vectsp_7(B,C,G)),u1_struct_0(k1_vectsp_7(B,D,F))))) ) => ( r2_hidden(A,a_9_0_matrixj2(B,C,D,E,F,G,H,I,J)) <=> ? [K] : ( m1_subset_1(K,k4_ordinal1) & A = K & r2_tarski(K,k4_finseq_1(I)) & k3_funct_2(u1_struct_0(k1_vectsp_7(B,C,G)),u1_struct_0(k1_vectsp_7(B,D,F)),J,k7_partfun1(u1_struct_0(k1_vectsp_7(B,C,G)),I,K)) = k3_vectsp_1(B,k1_vectsp_7(B,D,F),E,k7_partfun1(u1_struct_0(k1_vectsp_7(B,D,F)),H,K)) ) ) ) )).
fof(fraenkel_a_9_1_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & v5_relat_1(H,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(D,E),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,E),k1_numbers))) & m1_subset_1(I,E) & m1_subset_1(J,B) ) => ( r2_hidden(A,a_9_1_lfuzzy_0(B,C,D,E,F,G,H,I,J)) <=> ? [K] : ( m1_subset_1(K,D) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,D,k3_fuzzy_4(B,C,D,F,G),J,K),k8_lfuzzy_0(D,E,H,K,I)) ) ) ) )).
fof(fraenkel_a_9_2_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & v5_relat_1(H,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(D,E),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,E),k1_numbers))) & m1_subset_1(I,E) & m1_subset_1(J,B) ) => ( r2_hidden(A,a_9_2_lfuzzy_0(B,C,D,E,F,G,H,I,J)) <=> ? [K] : ( m1_subset_1(K,C) & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_10_1_lfuzzy_0(B,C,D,E,F,G,H,I,J,K)) ) ) ) )).
fof(fraenkel_a_9_3_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & v5_relat_1(H,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(D,E),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,E),k1_numbers))) & m1_subset_1(I,E) & m1_subset_1(J,B) ) => ( r2_hidden(A,a_9_3_lfuzzy_0(B,C,D,E,F,G,H,I,J)) <=> ? [K] : ( m1_subset_1(K,C) & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(B,C,F,J,K),k8_lfuzzy_0(C,E,k3_fuzzy_4(C,D,E,G,H),K,I)) ) ) ) )).
fof(free_g1_abcmiz_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ( g1_abcmiz_0(A,B) = g1_abcmiz_0(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_absred_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ! [D] : ( g1_absred_0(A,B) = g1_absred_0(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_algstr_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k3_zfmisc_1(A,A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,A,A),A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_algstr_3(A,B,C,D) = g1_algstr_3(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_analmetr,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ! [C] : ! [D] : ( g1_analmetr(A,B) = g1_analmetr(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_analoaf,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ! [C] : ! [D] : ( g1_analoaf(A,B) = g1_analoaf(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u4_struct_0(A),k3_msafree4(k3_finseq_2(u1_struct_0(A)),u4_struct_0(A),u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),B)),k3_msafree4(u1_struct_0(A),u4_struct_0(A),u2_msualg_1(A),B)) & m2_aofa_a00(D,u1_struct_0(A),u1_struct_0(A),B,B) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_aofa_a00(A,B,C,D) = g1_aofa_a00(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k4_card_3(B))) ) => ! [D] : ! [E] : ! [F] : ( g1_armstrng(A,B,C) = g1_armstrng(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_bcialg_4(A,B,C,D) = g1_bcialg_4(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_bhsp_1(A,B,C,D,E) = g1_bhsp_1(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_cat_1(A,B,C,D,E) = g1_cat_1(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,A),B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) & v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(A,A),B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) ) => ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ! [Q] : ! [R] : ( g1_cat_4(A,B,C,D,E,F,G,H,I) = g1_cat_4(J,K,L,M,N,O,P,Q,R) => ( A = J & B = K & C = L & D = M & E = N & F = O & G = P & H = Q & I = R ) ) ) )).
fof(free_g1_cat_6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ! [D] : ( g1_cat_6(A,B) = g1_cat_6(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ( g1_cayldick(A,B,C,D,E,F,G,H) = g1_cayldick(I,J,K,L,M,N,O,P) => ( A = I & B = J & C = K & D = L & E = M & F = N & G = O & H = P ) ) ) )).
fof(free_g1_cfuncdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g1_cfuncdom(A,B,C,D,E,F) = g1_cfuncdom(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g1_cgames_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( g1_cgames_1(A,B) = g1_cgames_1(C,D) => ( A = C & B = D ) ) )).
fof(free_g1_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( g1_clopban2(A,B,C,D,E,F,G) = g1_clopban2(H,I,J,K,L,M,N) => ( A = H & B = I & C = J & D = K & E = L & F = M & G = N ) ) ) )).
fof(free_g1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m3_pboole(C,u1_struct_0(A),k1_mboolean(u1_struct_0(A),B)) ) => ! [D] : ! [E] : ! [F] : ( g1_closure1(A,B,C) = g1_closure1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(u1_struct_0(A),B))) ) => ! [D] : ! [E] : ! [F] : ( g1_closure2(A,B,C) = g1_closure2(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_clvect_1(A,B,C,D) = g1_clvect_1(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_collsp,axiom,( ! [A] : ! [B] : ( m1_collsp(B,A) => ! [C] : ! [D] : ( g1_collsp(A,B) = g1_collsp(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_incsp_1(A) & l1_incsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_incsp_1(A),u1_incsp_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_incsp_1(A),u1_incsp_1(B)))) & v1_funct_1(D) & v1_funct_2(D,u2_incsp_1(A),u2_incsp_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u2_incsp_1(A),u2_incsp_1(B)))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_combgras(A,B,C,D) = g1_combgras(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_compos_1,axiom,( ! [A] : ( ( v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) & v5_compos_0(A) ) => ! [B] : ( g1_compos_1(A) = g1_compos_1(B) => A = B ) ) )).
fof(free_g1_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [D] : ! [E] : ! [F] : ( g1_conlat_1(A,B,C) = g1_conlat_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_csspace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_numbers))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_csspace(A,B,C,D,E) = g1_csspace(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_e_siec,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_relat_1(C) ) => ! [D] : ! [E] : ! [F] : ( g1_e_siec(A,B,C) = g1_e_siec(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(C,B) & v1_compos_0(D) & v2_compos_0(D) & v3_compos_0(D) & v5_compos_0(D) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v1_funct_1(G) & v1_funct_2(G,D,k1_funct_2(k4_card_3(k3_relat_1(E,F)),k4_card_3(k3_relat_1(E,F)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(D,k1_funct_2(k4_card_3(k3_relat_1(E,F)),k4_card_3(k3_relat_1(E,F)))))) ) => ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( g1_extpro_1(A,B,C,D,E,F,G) = g1_extpro_1(H,I,J,K,L,M,N) => ( A = H & B = I & C = J & D = K & E = L & F = M & G = N ) ) ) )).
fof(free_g1_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k6_subset_1(A,k1_tarski(C)),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(A,k1_tarski(C)),k4_numbers))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_fomodel1(A,B,C,D) = g1_fomodel1(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,B),C))) & m1_subset_1(E,k1_zfmisc_1(C)) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_fsm_3(A,B,C,D,E) = g1_fsm_3(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g1_funcsdom(A,B,C,D,E,F) = g1_funcsdom(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g1_gaussint,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k4_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g1_gaussint(A,B,C,D,E,F) = g1_gaussint(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g1_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) ) => ! [D] : ! [E] : ! [F] : ( g1_geomtrap(A,B,C) = g1_geomtrap(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_graph_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_graph_1(A,B,C,D) = g1_graph_1(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_grcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ! [E] : ! [F] : ( g1_grcat_1(A,B,C) = g1_grcat_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_group_9(A,B,C,D) = g1_group_9(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_incsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ! [E] : ! [F] : ( g1_incsp_1(A,B,C) = g1_incsp_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_lang1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k3_finseq_2(A)))) => ! [C] : ! [D] : ( g1_lang1(A,B) = g1_lang1(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_lattices,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ! [D] : ( g1_lattices(A,B) = g1_lattices(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( g1_lopban_2(A,B,C,D,E,F,G) = g1_lopban_2(H,I,J,K,L,M,N) => ( A = H & B = I & C = J & D = K & E = L & F = M & G = N ) ) ) )).
fof(free_g1_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_memstr_0(A,B,C,D,E) = g1_memstr_0(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_metric_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ! [D] : ( g1_metric_1(A,B) = g1_metric_1(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_midsp_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ! [D] : ( g1_midsp_1(A,B) = g1_midsp_1(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_midsp_3(A,B,C,D) = g1_midsp_3(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_mod_2(A,B,C,D) = g1_mod_2(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,A),A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ( g1_modelc_2(A,B,C,D,E,F,G,H) = g1_modelc_2(I,J,K,L,M,N,O,P) => ( A = I & B = J & C = K & D = L & E = M & F = N & G = O & H = P ) ) ) )).
fof(free_g1_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k1_modelc_3(A))) & m1_subset_1(C,k1_zfmisc_1(k1_modelc_3(A))) & m1_subset_1(D,k1_zfmisc_1(k1_modelc_3(A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_modelc_3(A,B,C,D) = g1_modelc_3(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_msualg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k3_finseq_2(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k3_finseq_2(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_msualg_1(A,B,C,D) = g1_msualg_1(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_normsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_normsp_1(A,B,C,D,E) = g1_normsp_1(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_orders_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ! [D] : ( g1_orders_2(A,B) = g1_orders_2(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_parsp_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ! [C] : ! [D] : ( g1_parsp_1(A,B) = g1_parsp_1(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_pcs_0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ! [D] : ( g1_pcs_0(A,B) = g1_pcs_0(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_petri,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_petri(A,B,C,D) = g1_petri(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_polyalg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(E,B) & m1_subset_1(F,B) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) ) => ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( g1_polyalg1(A,B,C,D,E,F,G) = g1_polyalg1(H,I,J,K,L,M,N) => ( A = H & B = I & C = J & D = K & E = L & F = M & G = N ) ) ) )).
fof(free_g1_pre_topc,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ! [D] : ( g1_pre_topc(A,B) = g1_pre_topc(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_qmax_1(k1_numbers,k12_prob_1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_qmax_1(k1_numbers,k12_prob_1)))) ) => ! [D] : ! [E] : ! [F] : ( g1_qmax_1(A,B,C) = g1_qmax_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),B))) => ! [D] : ! [E] : ! [F] : ( g1_rewrite3(A,B,C) = g1_rewrite3(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_ringcat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ! [E] : ! [F] : ( g1_ringcat1(A,B,C) = g1_ringcat1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_rltopsp1(A,B,C,D,E) = g1_rltopsp1(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_rlvect_1(A,B,C,D) = g1_rlvect_1(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_sgraph1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_sgraph1(A))) => ! [C] : ! [D] : ( g1_sgraph1(A,B) = g1_sgraph1(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & v1_funct_1(E) & v1_funct_2(E,B,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g1_stacks_1(A,B,C,D,E,F) = g1_stacks_1(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g1_symsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g1_symsp_1(A,B,C,D,E,F) = g1_symsp_1(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g1_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,A),k3_zfmisc_1(B,A,k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),k3_zfmisc_1(B,A,k1_enumset1(k4_xcmplx_0(1),k5_numbers,1))))) & m1_subset_1(D,B) & m1_subset_1(E,B) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_turing_1(A,B,C,D,E) = g1_turing_1(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_unialg_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) => ! [C] : ! [D] : ( g1_unialg_1(A,B) = g1_unialg_1(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g1_vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,A),A))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_vectmetr(A,B,C,D,E) = g1_vectmetr(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B),B))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_vectsp_1(A,B,C,D,E) = g1_vectsp_1(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)),B))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g1_vectsp_2(A,B,C,D,E) = g1_vectsp_2(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g1_waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_waybel_0(A,B,C,D) = g1_waybel_0(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g1_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ! [E] : ! [F] : ( g1_waybel_9(A,B,C) = g1_waybel_9(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g1_zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k4_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,A),A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g1_zmodul01(A,B,C,D) = g1_zmodul01(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g2_abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(E) & v1_funct_2(E,A,k5_finsub_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g2_abcmiz_0(A,B,C,D,E) = g2_abcmiz_0(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g2_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ! [D] : ! [E] : ! [F] : ( g2_algstr_0(A,B,C) = g2_algstr_0(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) ) => ! [D] : ! [E] : ! [F] : ( g2_altcat_1(A,B,C) = g2_altcat_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) ) => ! [D] : ! [E] : ! [F] : ( g2_analmetr(A,B,C) = g2_analmetr(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k3_finseq_2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k3_finseq_2(B)))) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & m1_subset_1(F,B) & m1_finseq_1(G,C) & v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(H,A),C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(H,A),C))) ) => ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ! [Q] : ! [R] : ( g2_aofa_l00(A,B,C,D,E,F,G,H,I) = g2_aofa_l00(J,K,L,M,N,O,P,Q,R) => ( A = J & B = K & C = L & D = M & E = N & F = O & G = P & H = Q & I = R ) ) ) )).
fof(free_g2_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ! [D] : ! [E] : ! [F] : ( g2_bcialg_1(A,B,C) = g2_bcialg_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m1_subset_1(F,A) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,A),B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) & v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(A,A),B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),B))) ) => ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ! [Q] : ! [R] : ( g2_cat_4(A,B,C,D,E,F,G,H,I) = g2_cat_4(J,K,L,M,N,O,P,Q,R) => ( A = J & B = K & C = L & D = M & E = N & F = O & G = P & H = Q & I = R ) ) ) )).
fof(free_g2_clvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) & v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g2_clvect_1(A,B,C,D,E) = g2_clvect_1(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g2_conlat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l5_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) ) => ! [D] : ! [E] : ! [F] : ( g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),B))) & m1_subset_1(F,C) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g2_fsm_1(A,B,C,D,E,F) = g2_fsm_1(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g2_fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & m1_subset_1(F,C) & m1_subset_1(G,k1_zfmisc_1(C)) ) => ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( g2_fsm_2(A,B,C,D,E,F,G) = g2_fsm_2(H,I,J,K,L,M,N) => ( A = H & B = I & C = J & D = K & E = L & F = M & G = N ) ) ) )).
fof(free_g2_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,B),C))) & m1_subset_1(E,k1_zfmisc_1(C)) & m1_subset_1(F,k1_zfmisc_1(C)) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g2_fsm_3(A,B,C,D,E,F) = g2_fsm_3(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g2_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_altcat_1(A) & l1_altcat_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))))) & m1_functor0(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),C,u1_altcat_1(A),u1_altcat_1(B)) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g2_functor0(A,B,C,D) = g2_functor0(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g2_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_finseq_2(A)))) ) => ! [D] : ! [E] : ! [F] : ( g2_lang1(A,B,C) = g2_lang1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_lattices,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ! [D] : ( g2_lattices(A,B) = g2_lattices(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g2_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(E) & v1_funct_2(E,A,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( g2_modelc_1(A,B,C,D,E,F,G) = g2_modelc_1(H,I,J,K,L,M,N) => ( A = H & B = I & C = J & D = K & E = L & F = M & G = N ) ) ) )).
fof(free_g2_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),B))) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g2_modelc_3(A,B,C,D,E) = g2_modelc_3(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ! [E] : ! [F] : ( g2_pcs_0(A,B,C) = g2_pcs_0(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ! [E] : ! [F] : ( g2_qmax_1(A,B,C) = g2_qmax_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ! [E] : ! [F] : ( g2_robbins1(A,B,C) = g2_robbins1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g2_vectsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) & m1_subset_1(E,C) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),C),C))) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(B)),C))) ) => ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( g2_vectsp_2(A,B,C,D,E,F,G) = g2_vectsp_2(H,I,J,K,L,M,N) => ( A = H & B = I & C = J & D = K & E = L & F = M & G = N ) ) ) )).
fof(free_g3_algstr_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ! [D] : ( g3_algstr_0(A,B) = g3_algstr_0(C,D) => ( A = C & B = D ) ) ) )).
fof(free_g3_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,A),C))) & v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) & m1_subset_1(F,C) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g3_fsm_1(A,B,C,D,E,F) = g3_fsm_1(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ! [E] : ! [F] : ( g3_lattices(A,B,C) = g3_lattices(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g3_msualg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),B)),k3_relat_1(u2_msualg_1(A),B)) ) => ! [D] : ! [E] : ! [F] : ( g3_msualg_1(A,B,C) = g3_msualg_1(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g3_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,C))) & v1_funct_1(E) & v1_funct_2(E,C,k3_finseq_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k3_finseq_2(A)))) & v1_funct_1(F) & v1_funct_2(F,C,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g3_osalg_1(A,B,C,D,E,F) = g3_osalg_1(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(free_g3_prefer_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g3_prefer_1(A,B,C,D) = g3_prefer_1(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g3_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g3_robbins3(A,B,C,D) = g3_robbins3(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g4_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => ! [D] : ! [E] : ! [F] : ( g4_algstr_0(A,B,C) = g4_algstr_0(D,E,F) => ( A = D & B = E & C = F ) ) ) )).
fof(free_g4_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g4_robbins1(A,B,C,D) = g4_robbins1(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g5_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ! [E] : ! [F] : ! [G] : ! [H] : ( g5_algstr_0(A,B,C,D) = g5_algstr_0(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) )).
fof(free_g5_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k13_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k13_finseq_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_finseq_1(E,B) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g5_aofa_a00(A,B,C,D,E) = g5_aofa_a00(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g6_algstr_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( g6_algstr_0(A,B,C,D,E) = g6_algstr_0(F,G,H,I,J) => ( A = F & B = G & C = H & D = I & E = J ) ) ) )).
fof(free_g6_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k13_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k13_finseq_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_subset_1(E,A) & m1_finseq_1(F,B) ) => ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( g6_aofa_a00(A,B,C,D,E,F) = g6_aofa_a00(G,H,I,J,K,L) => ( A = G & B = H & C = I & D = J & E = K & F = L ) ) ) )).
fof(idempotence_k11_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => k11_openlatt(A,B,B) = B ) )).
fof(idempotence_k12_fomodel0,axiom,( ! [A] : ! [B] : k12_fomodel0(A,A) = A )).
fof(idempotence_k12_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => k12_openlatt(A,B,B) = B ) )).
fof(idempotence_k13_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k13_ideal_1(A,B,B) = B ) )).
fof(idempotence_k13_margrel1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k13_margrel1(A,A) = A ) )).
fof(idempotence_k14_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => k14_sublemma(A,B,C,C) = C ) )).
fof(idempotence_k15_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k15_margrel1(A,B,B) = B ) )).
fof(idempotence_k15_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k15_mmlquery(A,B,B) = B ) )).
fof(idempotence_k16_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k16_mmlquery(A,B,B) = B ) )).
fof(idempotence_k19_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k19_mmlquery(A,B,B) = B ) )).
fof(idempotence_k1_binarith,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k1_binarith(A,A) = A ) )).
fof(idempotence_k1_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,D) & v1_funct_1(E) & v1_partfun1(E,D) & v1_relat_1(F) & v2_relat_1(F) & v4_relat_1(F,D) & v1_funct_1(F) & v1_partfun1(F,D) & m2_pboole(G,A,B,C) & m2_pboole(H,D,E,F) ) => k1_circcomb(A,B,C,D,E,F,G,G) = G ) )).
fof(idempotence_k1_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_msafree2(D,A,B) ) => k1_circuit2(A,B,C,C) = C ) )).
fof(idempotence_k1_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k1_finsub_1(A,B,B) = B ) )).
fof(idempotence_k1_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => k1_funct_4(A,A) = A ) )).
fof(idempotence_k1_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_fuzzy_1(A,B,B) = B ) )).
fof(idempotence_k1_geomtrap,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k1_geomtrap(A,B,B) = B ) )).
fof(idempotence_k1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_lfuzzy_1(A,B,B) = B ) )).
fof(idempotence_k1_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k1_measure1(A,B,C,C) = C ) )).
fof(idempotence_k1_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => k1_normform(A,B,C,C) = C ) )).
fof(idempotence_k1_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_valuat_1(A,B)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => k1_sublemma(A,B,C,C) = C ) )).
fof(idempotence_k20_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k20_mmlquery(A,B,B) = B ) )).
fof(idempotence_k2_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k2_bvfunc_1(A,B,B) = B ) )).
fof(idempotence_k2_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_eqrel_1(A,B,B) = B ) )).
fof(idempotence_k2_finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & m1_finseq_1(C,A) ) => k2_finsop_1(A,B,B) = B ) )).
fof(idempotence_k2_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_fuzzy_1(A,B,B) = B ) )).
fof(idempotence_k2_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => k2_groeb_2(A,B,B) = B ) )).
fof(idempotence_k2_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k2_lfuzzy_0(A,B,B) = B ) )).
fof(idempotence_k2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_lfuzzy_1(A,B,B) = B ) )).
fof(idempotence_k2_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => k2_lopclset(A,B,B) = B ) )).
fof(idempotence_k2_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k2_measure1(A,B,C,C) = C ) )).
fof(idempotence_k2_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => k2_normform(A,B,C,C) = C ) )).
fof(idempotence_k2_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => k2_openlatt(A,B,B) = B ) )).
fof(idempotence_k2_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k2_pboole(A,B,B) = B ) )).
fof(idempotence_k2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k2_pcs_0(A,B,C,D,E,E) = E ) )).
fof(idempotence_k2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_substlat(A,B)) & m1_subset_1(D,k1_substlat(A,B)) ) => k2_substlat(A,B,C,C) = C ) )).
fof(idempotence_k2_xboole_0,axiom,( ! [A] : ! [B] : k2_xboole_0(A,A) = A )).
fof(idempotence_k3_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => k3_bvfunc_1(A,A) = A ) )).
fof(idempotence_k3_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => k3_closure3(A,B,C,C) = C ) )).
fof(idempotence_k3_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k3_eqrel_1(A,B,B) = B ) )).
fof(idempotence_k3_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k3_finsub_1(A,B,B) = B ) )).
fof(idempotence_k3_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_lfuzzy_0(A,B,B) = B ) )).
fof(idempotence_k3_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => k3_lopclset(A,B,B) = B ) )).
fof(idempotence_k3_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => k3_openlatt(A,B,B) = B ) )).
fof(idempotence_k3_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k3_pboole(A,B,B) = B ) )).
fof(idempotence_k3_xboole_0,axiom,( ! [A] : ! [B] : k3_xboole_0(A,A) = A )).
fof(idempotence_k3_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k3_xxreal_0(A,A) = A ) )).
fof(idempotence_k3_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => k3_zf_refle(A,B,B) = B ) )).
fof(idempotence_k4_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => k4_closure3(A,B,C,C) = C ) )).
fof(idempotence_k4_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k4_eqrel_1(A,B,B) = B ) )).
fof(idempotence_k4_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k4_nat_1(A,A) = A ) )).
fof(idempotence_k4_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k4_stacks_1(A,B,C,D,E,E) = E ) )).
fof(idempotence_k4_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k4_subset_1(A,B,B) = B ) )).
fof(idempotence_k4_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k4_xboolean(A,A) = A ) )).
fof(idempotence_k4_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k4_xxreal_0(A,A) = A ) )).
fof(idempotence_k5_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k5_bvfunc_1(A,B,B) = B ) )).
fof(idempotence_k5_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k5_eqrel_1(A,B,B) = B ) )).
fof(idempotence_k5_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k5_extreal1(A,A) = A ) )).
fof(idempotence_k5_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k5_nat_1(A,A) = A ) )).
fof(idempotence_k5_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k5_prob_1(A,B,C,C) = C ) )).
fof(idempotence_k5_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => k5_setwiseo(A,B,B) = B ) )).
fof(idempotence_k5_xboolean,axiom,( ! [A] : ! [B] : ( ( v1_xboolean(A) & v1_xboolean(B) ) => k5_xboolean(A,A) = A ) )).
fof(idempotence_k6_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k6_extreal1(A,A) = A ) )).
fof(idempotence_k6_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k6_prob_1(A,B,C,C) = C ) )).
fof(idempotence_k7_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k7_classes2(A,B,B) = B ) )).
fof(idempotence_k7_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k7_funct_4(A,B,C,C) = C ) )).
fof(idempotence_k8_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k8_subset_1(A,B,B) = B ) )).
fof(idempotence_k9_margrel1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k9_margrel1(A,A) = A ) )).
fof(idempotence_k9_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k9_subset_1(A,B,B) = B ) )).
fof(ie10_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k2_xboole_0(A,B) = k13_fomodel0(B,A) ) )).
fof(ie10_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v2_membered(B) & v1_xreal_0(C) & v1_xxreal_0(D) ) => ( ( A = B & C = D ) => k23_member_1(A,C) = k22_member_1(B,D) ) ) )).
fof(ie11_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k13_fomodel0(B,A) = k2_xboole_0(A,B) ) )).
fof(ie11_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v2_membered(B) & v1_xreal_0(C) & v1_xxreal_0(D) ) => ( ( A = B & C = D ) => k25_member_1(A,C) = k24_member_1(B,D) ) ) )).
fof(ie12_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => k6_relat_1(A,B) = k13_fomodel0(A,B) ) )).
fof(ie12_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v2_membered(B) & v1_xreal_0(C) & v1_xxreal_0(D) ) => ( ( A = B & C = D ) => k27_member_1(A,C) = k26_member_1(B,D) ) ) )).
fof(ie13_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_xboole_0(B) & v1_finseq_1(B) ) => k7_finseq_1(A,B) = k13_fomodel0(B,A) ) )).
fof(ie14_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_xboole_0(B) & v1_finseq_1(B) ) => k13_fomodel0(B,A) = k7_finseq_1(A,B) ) )).
fof(ie15_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_xboole_0(B) & v1_finseq_1(B) ) => k7_finseq_1(B,A) = k13_fomodel0(B,A) ) )).
fof(ie16_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_xboole_0(B) & v1_finseq_1(B) ) => k13_fomodel0(B,A) = k7_finseq_1(B,A) ) )).
fof(ie17_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => k5_relat_1(B,A) = k13_fomodel0(A,B) ) )).
fof(ie18_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => k13_fomodel0(A,B) = k5_relat_1(B,A) ) )).
fof(ie19_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k1_funct_4(B,C) = k13_fomodel0(B,C) ) )).
fof(ie1_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => k1_card_1(A) = k9_xtuple_0(A) ) )).
fof(ie1_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k3_cayldick)) & m1_subset_1(B,u1_struct_0(k3_cayldick)) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ( A = C & B = D ) => k3_rlvect_1(k3_cayldick,A,B) = k2_xcmplx_0(C,D) ) ) )).
fof(ie1_cfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_numbers,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,A))) & v1_xcmplx_0(C) ) => k7_partfun1(A,B,C) = k1_funct_1(B,C) ) )).
fof(ie1_complfld,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & m1_subset_1(C,u1_struct_0(k1_complfld)) & m1_subset_1(D,u1_struct_0(k1_complfld)) ) => ( ( C = A & D = B ) => k1_algstr_0(k1_complfld,C,D) = k2_xcmplx_0(A,B) ) ) )).
fof(ie1_euclid,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k15_euclid(C))) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) ) => ( ( A = B & D = E ) => k1_rlvect_1(k15_euclid(C),D,A) = k10_rvsum_1(E,B) ) ) )).
fof(ie1_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C,u1_struct_0(k7_real_ns1(A))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) & v1_relat_1(E) & v1_funct_1(E) & v3_valued_0(E) ) => ( ( B = D & C = E ) => k3_rlvect_1(k7_real_ns1(A),B,C) = k1_valued_1(D,E) ) ) )).
fof(ie1_extreal1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xcmplx_0(B) ) => ( A = B => k3_extreal1(A) = k9_complex1(B) ) ) )).
fof(ie1_fomodel0,axiom,( ! [A] : ( v1_xboole_0(A) => k3_finseq_2(A) = k1_tarski(A) ) )).
fof(ie1_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v15_fomodel1(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k37_fomodel2(A,B) = k22_fomodel0(B) ) )).
fof(ie1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k35_fomodel1(A)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k37_fomodel3(A,B,C,D) = k27_fomodel3(A,B,C,D) ) )).
fof(ie1_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) ) => k7_partfun1(B,C,D) = k3_funct_2(A,B,C,D) ) )).
fof(ie1_gaussint,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k11_gaussint)) & v1_rat_1(B) ) => ( A = B => k4_algstr_0(k11_gaussint,A) = k4_xcmplx_0(B) ) ) )).
fof(ie1_gr_cy_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k2_gr_cy_1)) & m1_subset_1(B,u1_struct_0(k2_gr_cy_1)) ) => k6_algstr_0(k2_gr_cy_1,A,B) = k2_xcmplx_0(A,B) ) )).
fof(ie1_int_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & m1_subset_1(B,u1_struct_0(k1_int_3)) & v1_int_1(C) & v1_int_1(D) ) => ( ( A = C & B = D ) => k6_algstr_0(k1_int_3,A,B) = k3_xcmplx_0(C,D) ) ) )).
fof(ie1_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,u1_struct_0(k1_lattice3(A))) & m1_subset_1(C,u1_struct_0(k1_lattice3(A))) ) => ( ( B = D & C = E ) => k1_lattices(k1_lattice3(A),B,C) = k2_xboole_0(D,E) ) ) )).
fof(ie1_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k13_lattice3(A,B,C) = k2_lfuzzy_0(A,B,C) ) )).
fof(ie1_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v2_membered(B) ) => ( A = B => k5_member_1(A) = k4_member_1(B) ) ) )).
fof(ie1_moebius2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k10_moebius2(A))) & m1_subset_1(C,u1_struct_0(k10_moebius2(A))) ) => k3_lattices(k10_moebius2(A),B,C) = k5_nat_d(B,C) ) )).
fof(ie1_msafree5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k1_card_2(A,B) = k2_xcmplx_0(A,B) ) )).
fof(ie1_nat_lat,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_nat_lat)) & m1_subset_1(B,u1_struct_0(k3_nat_lat)) ) => k1_lattices(k3_nat_lat,A,B) = k5_nat_d(A,B) ) )).
fof(ie1_nbvectsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k2_bspace)) & m1_subset_1(B,u1_struct_0(k2_bspace)) ) => k3_rlvect_1(k2_bspace,A,B) = k10_xboolean(A,B) ) )).
fof(ie1_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v3_valued_0(D) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) ) => ( ( B = D & C = E ) => k3_rlvect_1(k15_euclid(A),B,C) = k1_valued_1(D,E) ) ) )).
fof(ie1_power,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v7_ordinal1(B) ) => k2_power(A,B) = k1_newton(A,B) ) )).
fof(ie1_quatern2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k14_quatern2)) & m1_subset_1(B,u1_struct_0(k14_quatern2)) & v1_quaterni(C) & v1_quaterni(D) ) => ( ( A = C & B = D ) => k1_algstr_0(k14_quatern2,A,B) = k21_quaterni(C,D) ) ) )).
fof(ie1_real_lat,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_real_lat)) & m1_subset_1(B,u1_struct_0(k3_real_lat)) ) => k1_lattices(k3_real_lat,A,B) = k4_xxreal_0(A,B) ) )).
fof(ie1_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_tops_1(A,B) = k3_roughs_1(A,B) ) )).
fof(ie1_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_membered(A) & v3_xxreal_2(A) ) => k3_seq_4(A) = k2_xxreal_2(A) ) )).
fof(ie1_sin_cos3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_xcmplx_0(B) ) => k7_partfun1(k2_numbers,A,B) = k1_funct_1(A,B) ) )).
fof(ie1_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k1_vectsp_1)) & m1_subset_1(B,u1_struct_0(k1_vectsp_1)) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ( A = C & B = D ) => k1_algstr_0(k1_vectsp_1,A,B) = k2_xcmplx_0(C,D) ) ) )).
fof(ie1_xxreal_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => ( ( A = C & B = D ) => k1_xxreal_3(A,B) = k2_xcmplx_0(C,D) ) ) )).
fof(ie20_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k13_fomodel0(B,C) = k1_funct_4(B,C) ) )).
fof(ie21_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(B) ) => k1_funct_4(A,B) = k13_fomodel0(B,A) ) )).
fof(ie22_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(B) ) => k13_fomodel0(B,A) = k1_funct_4(A,B) ) )).
fof(ie23_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(B) ) => k1_funct_4(B,A) = k13_fomodel0(B,A) ) )).
fof(ie24_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(B) ) => k13_fomodel0(B,A) = k1_funct_4(B,A) ) )).
fof(ie25_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k24_fomodel0(A,B) = k5_relat_1(B,A) ) )).
fof(ie26_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k5_relat_1(B,A) = k24_fomodel0(A,B) ) )).
fof(ie27_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k25_fomodel0(A,B) = k5_relat_1(B,A) ) )).
fof(ie28_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k5_relat_1(B,A) = k25_fomodel0(A,B) ) )).
fof(ie29_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => k26_fomodel0(A,B) = k27_fomodel0(A,B) ) )).
fof(ie2_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k3_cayldick)) & m1_subset_1(B,u1_struct_0(k3_cayldick)) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ( A = C & B = D ) => k8_group_1(k3_cayldick,A,B) = k3_xcmplx_0(C,D) ) ) )).
fof(ie2_complfld,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & m1_subset_1(C,u1_struct_0(k1_complfld)) & m1_subset_1(D,u1_struct_0(k1_complfld)) ) => ( ( C = A & D = B ) => k6_algstr_0(k1_complfld,C,D) = k3_xcmplx_0(A,B) ) ) )).
fof(ie2_euclid,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v3_valued_0(D) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) ) => ( ( B = D & C = E ) => k3_rlvect_1(k15_euclid(A),B,C) = k4_rvsum_1(D,E) ) ) )).
fof(ie2_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k7_real_ns1(A))) & v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & m1_subset_1(D,k1_numbers) & m1_subset_1(E,k1_numbers) ) => ( ( B = C & D = E ) => k1_rlvect_1(k7_real_ns1(A),B,D) = k24_valued_1(C,E) ) ) )).
fof(ie2_fomodel0,axiom,( ! [A] : ( v1_xboole_0(A) => k1_tarski(A) = k3_finseq_2(A) ) )).
fof(ie2_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_fomodel2(A,B)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k25_fomodel2(A,B,C,D) = k13_fomodel2(A,B,C,D) ) )).
fof(ie2_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k35_fomodel1(A)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k27_fomodel3(A,B,C,D) = k37_fomodel3(A,B,C,D) ) )).
fof(ie2_int_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & m1_subset_1(B,u1_struct_0(k1_int_3)) & v1_int_1(C) & v1_int_1(D) ) => ( ( A = C & B = D ) => k1_algstr_0(k1_int_3,A,B) = k2_xcmplx_0(C,D) ) ) )).
fof(ie2_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,u1_struct_0(k1_lattice3(A))) & m1_subset_1(C,u1_struct_0(k1_lattice3(A))) ) => ( ( B = D & C = E ) => k2_lattices(k1_lattice3(A),B,C) = k3_xboole_0(D,E) ) ) )).
fof(ie2_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k12_lattice3(A,B,C) = k3_lfuzzy_0(A,B,C) ) )).
fof(ie2_member_1,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v2_membered(B) ) => ( A = B => k7_member_1(A) = k6_member_1(B) ) ) )).
fof(ie2_moebius2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k10_moebius2(A))) & m1_subset_1(C,u1_struct_0(k10_moebius2(A))) ) => k4_lattices(k10_moebius2(A),B,C) = k6_nat_d(B,C) ) )).
fof(ie2_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v6_membered(A) ) => k1_xxreal_2(A) = k3_tarski(A) ) )).
fof(ie2_nat_lat,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_nat_lat)) & m1_subset_1(B,u1_struct_0(k3_nat_lat)) ) => k2_lattices(k3_nat_lat,A,B) = k6_nat_d(A,B) ) )).
fof(ie2_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k15_euclid(C))) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) ) => ( ( A = B & D = E ) => k1_rlvect_1(k15_euclid(C),D,A) = k10_rvsum_1(E,B) ) ) )).
fof(ie2_real_lat,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_real_lat)) & m1_subset_1(B,u1_struct_0(k3_real_lat)) ) => k2_lattices(k3_real_lat,A,B) = k3_xxreal_0(A,B) ) )).
fof(ie2_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k2_pre_topc(A,B) = k4_roughs_1(A,B) ) )).
fof(ie2_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_membered(A) & v4_xxreal_2(A) ) => k2_seq_4(A) = k1_xxreal_2(A) ) )).
fof(ie2_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xcmplx_0(B) ) => ( A = B => k2_xxreal_3(A) = k4_xcmplx_0(B) ) ) )).
fof(ie30_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => k27_fomodel0(A,B) = k28_fomodel0(A,B) ) )).
fof(ie31_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => k1_funct_4(A,B) = k26_fomodel0(A,B) ) )).
fof(ie32_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => k26_fomodel0(A,B) = k1_funct_4(A,B) ) )).
fof(ie33_fomodel0,axiom,( ! [A] : ! [B] : k2_tarski(A,B) = k29_fomodel0(A,B) )).
fof(ie34_fomodel0,axiom,( ! [A] : ! [B] : k29_fomodel0(A,B) = k2_tarski(A,B) )).
fof(ie35_fomodel0,axiom,( ! [A] : ! [B] : k29_fomodel0(A,B) = k29_fomodel0(B,A) )).
fof(ie36_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => k7_relat_1(A,B) = k30_fomodel0(A,B) ) )).
fof(ie37_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => k30_fomodel0(A,B) = k7_relat_1(A,B) ) )).
fof(ie38_fomodel0,axiom,( ! [A] : k32_fomodel0(A) = k33_fomodel0(A) )).
fof(ie39_fomodel0,axiom,( ! [A] : k33_fomodel0(A) = k32_fomodel0(A) )).
fof(ie3_cayldick,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_cayldick)) & v1_xreal_0(B) ) => ( A = B => k4_algstr_0(k3_cayldick,A) = k4_xcmplx_0(B) ) ) )).
fof(ie3_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => ( B = C => k4_algstr_0(k15_euclid(A),B) = k6_rvsum_1(C) ) ) )).
fof(ie3_fomodel0,axiom,( ! [A] : ! [B] : k12_fomodel0(A,B) = k12_fomodel0(B,A) )).
fof(ie3_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_fomodel2(A,B)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k13_fomodel2(A,B,C,D) = k25_fomodel2(A,B,C,D) ) )).
fof(ie3_int_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & v1_int_1(B) ) => ( A = B => k4_algstr_0(k1_int_3,A) = k4_xcmplx_0(B) ) ) )).
fof(ie3_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v3_membered(B) & v2_membered(C) & v2_membered(D) ) => ( ( A = C & B = D ) => k9_member_1(A,B) = k8_member_1(C,D) ) ) )).
fof(ie3_nat_lat,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) & m1_subset_1(B,u1_struct_0(k10_nat_lat)) ) => k1_lattices(k10_nat_lat,A,B) = k5_nat_d(A,B) ) )).
fof(ie3_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => ( B = C => k4_algstr_0(k15_euclid(A),B) = k30_valued_1(C) ) ) )).
fof(ie3_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k3_roughs_1(A,B) = k1_tops_1(A,B) ) )).
fof(ie3_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) & m1_subset_1(B,u1_struct_0(k2_vectsp_1)) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ( A = C & B = D ) => k1_algstr_0(k2_vectsp_1,A,B) = k2_xcmplx_0(C,D) ) ) )).
fof(ie3_xxreal_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => ( ( A = C & B = D ) => k3_xxreal_3(A,B) = k6_xcmplx_0(C,D) ) ) )).
fof(ie4_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k3_cayldick)) & m1_subset_1(B,u1_struct_0(k3_cayldick)) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ( A = C & B = D ) => k5_algstr_0(k3_cayldick,A,B) = k6_xcmplx_0(C,D) ) ) )).
fof(ie4_euclid,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v3_valued_0(D) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) ) => ( ( B = D & C = E ) => k5_algstr_0(k15_euclid(A),B,C) = k8_rvsum_1(D,E) ) ) )).
fof(ie4_fomodel0,axiom,( ! [A] : ! [B] : k3_xboole_0(A,B) = k12_fomodel0(A,B) )).
fof(ie4_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v3_membered(B) & v2_membered(C) & v2_membered(D) ) => ( ( A = C & B = D ) => k11_member_1(A,B) = k10_member_1(C,D) ) ) )).
fof(ie4_nat_lat,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) & m1_subset_1(B,u1_struct_0(k10_nat_lat)) ) => k2_lattices(k10_nat_lat,A,B) = k6_nat_d(A,B) ) )).
fof(ie4_pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v3_valued_0(D) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) ) => ( ( B = D & C = E ) => k5_algstr_0(k15_euclid(A),B,C) = k45_valued_1(D,E) ) ) )).
fof(ie4_roughs_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_roughs_1(A,B) = k2_pre_topc(A,B) ) )).
fof(ie4_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) & m1_subset_1(B,u1_struct_0(k2_vectsp_1)) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ( A = C & B = D ) => k6_algstr_0(k2_vectsp_1,A,B) = k3_xcmplx_0(C,D) ) ) )).
fof(ie4_xxreal_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => ( ( A = C & B = D ) => k4_xxreal_3(A,B) = k3_xcmplx_0(C,D) ) ) )).
fof(ie5_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k3_cayldick)) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( A = C => k1_rlvect_1(k3_cayldick,A,B) = k3_xcmplx_0(B,C) ) ) )).
fof(ie5_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,u1_struct_0(k10_funcsdom(A))) & m1_subset_1(C,u1_struct_0(k10_funcsdom(A))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) & v1_relat_1(E) & v1_funct_1(E) & v3_valued_0(E) ) => ( ( B = D & C = E ) => k3_rlvect_1(k10_funcsdom(A),B,C) = k1_valued_1(D,E) ) ) )).
fof(ie5_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k9_subset_1(A,A,B) = k13_fomodel0(A,B) ) )).
fof(ie5_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v3_membered(B) & v2_membered(C) & v2_membered(D) ) => ( ( A = C & B = D ) => k13_member_1(A,B) = k12_member_1(C,D) ) ) )).
fof(ie5_quatern2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_quaterni(A) & v1_quaterni(B) & m1_subset_1(C,u1_struct_0(k15_quatern2)) & m1_subset_1(D,u1_struct_0(k15_quatern2)) ) => ( ( C = A & D = B ) => k6_algstr_0(k15_quatern2,C,D) = k22_quaterni(A,B) ) ) )).
fof(ie5_vectsp_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) & v1_xreal_0(B) ) => ( A = B => k4_algstr_0(k2_vectsp_1,A) = k4_xcmplx_0(B) ) ) )).
fof(ie5_xxreal_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xcmplx_0(B) ) => ( A = B => k5_xxreal_3(A) = k5_xcmplx_0(B) ) ) )).
fof(ie6_cayldick,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_cayldick)) => k2_normsp_0(k3_cayldick,A) = k9_complex1(A) ) )).
fof(ie6_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,u1_struct_0(k10_funcsdom(A))) & v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & m1_subset_1(D,k1_numbers) & m1_subset_1(E,k1_numbers) ) => ( ( B = C & D = E ) => k1_rlvect_1(k10_funcsdom(A),B,D) = k24_valued_1(C,E) ) ) )).
fof(ie6_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k13_fomodel0(A,B) = k9_subset_1(A,A,B) ) )).
fof(ie6_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v3_membered(B) & v2_membered(C) & v2_membered(D) ) => ( ( A = C & B = D ) => k15_member_1(A,B) = k14_member_1(C,D) ) ) )).
fof(ie6_quatern2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_quatern2)) & v1_quaterni(B) ) => ( A = B => k4_algstr_0(k15_quatern2,A) = k23_quaterni(B) ) ) )).
fof(ie6_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) ) => k1_group_1(A) = k5_struct_0(A) ) )).
fof(ie6_xxreal_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(D) ) => ( ( A = C & B = D ) => k6_xxreal_3(A,B) = k7_xcmplx_0(C,D) ) ) )).
fof(ie7_fomodel0,axiom,( ! [A] : ! [B] : k6_subset_1(A,B) = k14_fomodel0(A,B) )).
fof(ie7_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v2_membered(B) & v1_xreal_0(C) & v1_xxreal_0(D) ) => ( ( A = B & C = D ) => k17_member_1(A,C) = k16_member_1(B,D) ) ) )).
fof(ie8_fomodel0,axiom,( ! [A] : ! [B] : k15_fomodel0(A,B) = k13_fomodel0(B,A) )).
fof(ie8_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v2_membered(B) & v1_xreal_0(C) & v1_xxreal_0(D) ) => ( ( A = B & C = D ) => k19_member_1(A,C) = k18_member_1(B,D) ) ) )).
fof(ie9_fomodel0,axiom,( ! [A] : ! [B] : k13_fomodel0(B,A) = k15_fomodel0(A,B) )).
fof(ie9_member_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(A) & v2_membered(B) & v1_xreal_0(C) & v1_xxreal_0(D) ) => ( ( A = B & C = D ) => k21_member_1(A,C) = k20_member_1(B,D) ) ) )).
fof(involutiveness_k10_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k10_petri(A,B,k10_petri(A,B,C)) = C ) )).
fof(involutiveness_k12_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => k12_funcop_1(A,B,C,k12_funcop_1(A,B,C,D)) = D ) )).
fof(involutiveness_k12_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => k12_margrel1(k12_margrel1(A)) = A ) )).
fof(involutiveness_k14_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k14_margrel1(A,k14_margrel1(A,B)) = B ) )).
fof(involutiveness_k15_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => k15_gaussint(k15_gaussint(A)) = A ) )).
fof(involutiveness_k16_seq_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) ) => k16_seq_4(A,k16_seq_4(A,B)) = B ) )).
fof(involutiveness_k17_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & ~ v3_xxreal_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_toprealb(k2_xcmplx_0(A,1),k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))),B)))) ) => k17_toprealc(A,B,k17_toprealc(A,B,C)) = C ) )).
fof(involutiveness_k1_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k1_bvfunc_1(A,k1_bvfunc_1(A,B)) = B ) )).
fof(involutiveness_k1_card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) ) => k1_card_fil(A,k1_card_fil(A,B)) = B ) )).
fof(involutiveness_k1_complsp2,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k1_complsp2(k1_complsp2(A)) = A ) )).
fof(involutiveness_k1_comseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k1_comseq_2(k1_comseq_2(A)) = A ) )).
fof(involutiveness_k1_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(B,A)) ) => k1_descip_1(A,B,k1_descip_1(A,B,C)) = C ) )).
fof(involutiveness_k1_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k1_funcop_1(k1_funcop_1(A)) = A ) )).
fof(involutiveness_k1_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k1_goboard9(k1_goboard9(A)) = A ) )).
fof(involutiveness_k1_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_group_2(A,k1_group_2(A,B)) = B ) )).
fof(involutiveness_k1_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => k1_hermitan(A,k1_hermitan(A,B)) = B ) )).
fof(involutiveness_k1_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m1_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k1_matrixc1(k1_matrixc1(A)) = A ) )).
fof(involutiveness_k1_member_1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => k1_member_1(k1_member_1(A)) = A ) )).
fof(involutiveness_k1_real_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k1_real_1(k1_real_1(A)) = A ) )).
fof(involutiveness_k23_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k23_quaterni(k23_quaterni(A)) = A ) )).
fof(involutiveness_k24_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) ) => k24_zmodul02(A,k24_zmodul02(A,B)) = B ) )).
fof(involutiveness_k2_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => k2_complfld(k2_complfld(A)) = A ) )).
fof(involutiveness_k2_comseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k2_comseq_2(A,k2_comseq_2(A,B)) = B ) )).
fof(involutiveness_k2_group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => k2_group_1(A,k2_group_1(A,B)) = B ) )).
fof(involutiveness_k2_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k2_prob_1(A,k2_prob_1(A,B)) = B ) )).
fof(involutiveness_k2_real_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k2_real_1(k2_real_1(A)) = A ) )).
fof(involutiveness_k2_rearran1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => k2_rearran1(A,k2_rearran1(A,B)) = B ) )).
fof(involutiveness_k2_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k2_relat_1(k2_relat_1(A)) = A ) )).
fof(involutiveness_k2_supinf_2,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => k2_supinf_2(k2_supinf_2(A)) = A ) )).
fof(involutiveness_k2_toprealc,axiom,( ! [A] : ( v1_valued_2(A) => k2_toprealc(k2_toprealc(A)) = A ) )).
fof(involutiveness_k2_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => k2_xxreal_3(k2_xxreal_3(A)) = A ) )).
fof(involutiveness_k30_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k30_valued_1(k30_valued_1(A)) = A ) )).
fof(involutiveness_k31_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k31_valued_1(A,B,k31_valued_1(A,B,C)) = C ) )).
fof(involutiveness_k32_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k32_valued_1(A,B,k32_valued_1(A,B,C)) = C ) )).
fof(involutiveness_k34_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k34_valued_1(A,B,k34_valued_1(A,B,C)) = C ) )).
fof(involutiveness_k35_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k35_valued_1(k35_valued_1(A)) = A ) )).
fof(involutiveness_k36_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k36_valued_1(A,B,k36_valued_1(A,B,C)) = C ) )).
fof(involutiveness_k37_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k37_valued_1(A,B,k37_valued_1(A,B,C)) = C ) )).
fof(involutiveness_k3_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k3_arytm_0(k3_arytm_0(A)) = A ) )).
fof(involutiveness_k3_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k3_finseq_5(k3_finseq_5(A)) = A ) )).
fof(involutiveness_k3_fuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k3_fuzzy_1(A,k3_fuzzy_1(A,B)) = B ) )).
fof(involutiveness_k3_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => k3_measure6(k3_measure6(A)) = A ) )).
fof(involutiveness_k3_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k3_relset_1(A,B,k3_relset_1(A,B,C)) = C ) )).
fof(involutiveness_k3_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k3_subset_1(A,k3_subset_1(A,B)) = B ) )).
fof(involutiveness_k3_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k3_xboolean(k3_xboolean(A)) = A ) )).
fof(involutiveness_k4_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k4_arytm_0(k4_arytm_0(A)) = A ) )).
fof(involutiveness_k4_finseq_5,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => k4_finseq_5(A,k4_finseq_5(A,B)) = B ) )).
fof(involutiveness_k4_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => k4_measure6(k4_measure6(A)) = A ) )).
fof(involutiveness_k4_member_1,axiom,( ! [A] : ( v2_membered(A) => k4_member_1(k4_member_1(A)) = A ) )).
fof(involutiveness_k4_seqfunc,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k4_seqfunc(A,k4_seqfunc(A,B)) = B ) )).
fof(involutiveness_k4_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A)) = A ) )).
fof(involutiveness_k5_complsp2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) ) => k5_complsp2(A,k5_complsp2(A,B)) = B ) )).
fof(involutiveness_k5_member_1,axiom,( ! [A] : ( v1_membered(A) => k5_member_1(k5_member_1(A)) = A ) )).
fof(involutiveness_k5_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => k5_rvsum_2(k5_rvsum_2(A)) = A ) )).
fof(involutiveness_k5_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_xcmplx_0(k5_xcmplx_0(A)) = A ) )).
fof(involutiveness_k6_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => k6_euclid(A,k6_euclid(A,B)) = B ) )).
fof(involutiveness_k6_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => k6_glib_001(A,k6_glib_001(A,B)) = B ) )).
fof(involutiveness_k6_lattice3,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k6_lattice3(A,k6_lattice3(A,B)) = B ) )).
fof(involutiveness_k6_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k6_measure6(A,B,k6_measure6(A,B,C)) = C ) )).
fof(involutiveness_k6_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k6_rvsum_1(k6_rvsum_1(A)) = A ) )).
fof(involutiveness_k6_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) ) => k6_rvsum_2(A,k6_rvsum_2(A,B)) = B ) )).
fof(involutiveness_k6_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => k6_scmyciel(k6_scmyciel(A)) = A ) )).
fof(involutiveness_k6_supinf_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k6_numbers)) => k6_supinf_2(k6_supinf_2(A)) = A ) )).
fof(involutiveness_k7_hurwitz,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => k7_hurwitz(k7_hurwitz(A)) = A ) )).
fof(involutiveness_k7_member_1,axiom,( ! [A] : ( v1_membered(A) => k7_member_1(k7_member_1(A)) = A ) )).
fof(involutiveness_k7_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k7_quaterni(k7_quaterni(A)) = A ) )).
fof(involutiveness_k7_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) ) => k7_rvsum_1(A,k7_rvsum_1(A,B)) = B ) )).
fof(involutiveness_k7_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k7_setfam_1(A,k7_setfam_1(A,B)) = B ) )).
fof(involutiveness_k7_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) ) => k7_vectsp_6(A,B,k7_vectsp_6(A,B,C)) = C ) )).
fof(involutiveness_k8_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k8_complex1(k8_complex1(A)) = A ) )).
fof(involutiveness_k8_margrel1,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => k8_margrel1(k8_margrel1(A)) = A ) )).
fof(involutiveness_k8_qmax_1,axiom,( ! [A] : ! [B] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) ) => k8_qmax_1(A,k8_qmax_1(A,B)) = B ) )).
fof(involutiveness_k8_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) ) => k8_rmod_4(A,B,k8_rmod_4(A,B,C)) = C ) )).
fof(involutiveness_k9_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k9_seq_4(k9_seq_4(A)) = A ) )).
fof(involutiveness_k9_simplex0,axiom,( ! [A] : ( v7_ordinal1(A) => k9_simplex0(k9_simplex0(A)) = A ) )).
fof(irreflexivity_r10_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ r10_analmetr(A,B,B) ) )).
fof(irreflexivity_r1_afvect0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ r1_afvect0(A,B,B) ) )).
fof(irreflexivity_r1_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ r1_exchsort(A,B,B) ) )).
fof(irreflexivity_r1_gobrd10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ~ r1_gobrd10(A,A) ) )).
fof(irreflexivity_r1_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ r1_subset_1(A,A) ) )).
fof(irreflexivity_r2_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ~ r2_orders_2(A,B,B) ) )).
fof(irreflexivity_r2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ r2_subset_1(A,A) ) )).
fof(irreflexivity_r2_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ r2_tsep_2(A,B,B) ) )).
fof(irreflexivity_r2_xboole_0,axiom,( ! [A] : ! [B] : ~ r2_xboole_0(A,A) )).
fof(irreflexivity_r3_modelc_2,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => ~ r3_modelc_2(A,A) ) )).
fof(irreflexivity_r3_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => ~ r3_qc_lang2(A,B,B) ) )).
fof(irreflexivity_r4_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ~ r4_tsep_2(A,B,B) ) )).
fof(irreflexivity_r7_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ~ r7_glib_000(A,A) ) )).
fof(l100_borsuk_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1)),u1_struct_0(k15_euclid(A))))) ) => ( v5_pre_topc(B,k7_toprealb(k1_nat_1(A,1),k4_struct_0(k15_euclid(k1_nat_1(A,1))),1),k15_euclid(A)) => ( v2_borsuk_7(B,k1_nat_1(A,1),A,k4_struct_0(k15_euclid(k1_nat_1(A,1))),1) | v5_pre_topc(k15_borsuk_7(A,B),k8_toprealb(k1_nat_1(A,1)),k8_toprealb(A)) ) ) ) ) )).
fof(l100_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,B) & v1_funct_1(E) & v1_finseq_1(E) ) => k1_funct_1(k20_fomodel0(B,A,C),k7_finseq_1(D,E)) = k7_finseq_1(k1_funct_1(k20_fomodel0(B,A,C),D),k1_funct_1(k20_fomodel0(B,A,C),E)) ) ) ) ) )).
fof(l100_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v7_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v3_card_1(C,k1_int_2(k19_fomodel1(A,B))) & m2_subset_1(C,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => ! [D] : ( ( v3_card_1(D,k1_int_2(k19_fomodel1(A,B))) & m2_subset_1(D,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => v4_fomodel4(k1_tarski(k4_tarski(k2_xboole_0(k38_fomodel4(A,k1_int_2(k19_fomodel1(A,B)),C,D),k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k1_fomodel3(A,B,C))),k1_fomodel3(A,B,D))),A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k30_fomodel4(A)),k1_xboole_0) ) ) ) ) )).
fof(l100_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k48_gfacirc1(A,B,C),E),k1_facirc_1)) & H = k1_funct_1(F,D) ) => k1_funct_1(k6_circuit2(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F),k48_gfacirc1(k48_gfacirc1(A,B,C),E,D)) = k2_binarith(G,H) ) ) ) ) ) ) ) ) )).
fof(l100_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_geomtrap(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_diraf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_diraf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_diraf(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_diraf(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_diraf(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_diraf(A))) => ( ( r2_analoaf(k2_diraf(A),F,G,B,C) & r2_analoaf(k2_diraf(A),F,G,D,E) ) => ( F = G | r2_analoaf(k2_diraf(A),B,C,D,E) ) ) ) ) ) ) ) ) ) )).
fof(l100_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v5_glib_001(B,A) <=> v5_glib_001(k6_glib_001(A,B),A) ) ) ) )).
fof(l100_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => m1_group_9(k17_group_9(A,B,C,D),A,C) ) ) ) )).
fof(l100_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k21_interva1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k21_interva1(A))) => k1_lattices(k21_interva1(A),k2_lattices(k21_interva1(A),B,C),C) = C ) ) ) )).
fof(l100_jordan,axiom,( k18_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(3))) = k4_xcmplx_0(3) )).
fof(l100_lattad_1,axiom,( ? [A] : ( m1_subset_1(A,k1_enumset1(1,2,3)) & A = 1 ) )).
fof(l100_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => r5_modelc_2(A,B,C,k5_numbers) ) ) ) )).
fof(l100_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k3_xcmplx_0(k1_newton(2,A),k1_nat_1(k3_xcmplx_0(2,C),1)) = k3_xcmplx_0(k1_newton(2,B),k1_nat_1(k3_xcmplx_0(2,D),1)) => r1_xxreal_0(A,B) ) ) ) ) ) )).
fof(l100_pepin,axiom,( k4_nat_d(k11_newton(3,128),k4_pepin(4)) = k2_nat_1(52,289) )).
fof(l100_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_partfun1(D,A) & v1_relat_2(D) & v4_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r3_orders_1(D,k2_xboole_0(k1_tarski(C),B)) => r3_orders_1(D,B) ) ) ) ) )).
fof(l100_sincos10,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2))),k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(l100_toprealb,axiom,( v1_funct_1(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),k6_toprealb(k1_fcont_1(k4_xcmplx_0(1),1)),k5_toprealb(k2_rcomp_1(k5_numbers,1)))) & v1_funct_2(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),k6_toprealb(k1_fcont_1(k4_xcmplx_0(1),1)),k5_toprealb(k2_rcomp_1(k5_numbers,1))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & m1_subset_1(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),k6_toprealb(k1_fcont_1(k4_xcmplx_0(1),1)),k5_toprealb(k2_rcomp_1(k5_numbers,1))),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))))) )).
fof(l100_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v9_waybel_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_orders_2(A,k11_lattice3(A,B,k6_waybel_1(A,B,C)),C) ) ) ) ) )).
fof(l100_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( r2_hidden(k4_xxreal_3(A,B),k1_numbers) & ~ ( r2_hidden(A,k1_numbers) & r2_hidden(B,k1_numbers) ) & k4_xxreal_3(A,B) != k5_numbers ) ) ) )).
fof(l101_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( k1_funct_1(k16_afinsq_1(A,B,C,D),1) = B & k1_funct_1(k16_afinsq_1(A,B,C,D),2) = C & k1_funct_1(k16_afinsq_1(A,B,C,D),3) = D ) )).
fof(l101_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)))) ) => ( ( k1_funct_1(F,k5_numbers) = k26_aofa_a00(A,C,D) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,C),D)) => ( k1_funct_1(F,G) = H => ( k1_funct_1(F,k2_xcmplx_0(G,1)) = k29_aofa_a00(A,C,D,H,k27_aofa_a00(A,C,D)) & k1_funct_1(F,k4_xcmplx_0(k2_xcmplx_0(G,1))) = k28_aofa_a00(A,C,D,k29_aofa_a00(A,C,D,H,k27_aofa_a00(A,C,D))) ) ) ) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)))) ) => ( ( k1_funct_1(G,k5_numbers) = k26_aofa_a00(A,C,D) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,C),D)) => ( k1_funct_1(G,H) = I => ( k1_funct_1(G,k2_xcmplx_0(H,1)) = k29_aofa_a00(A,C,D,I,k27_aofa_a00(A,C,D)) & k1_funct_1(G,k4_xcmplx_0(k2_xcmplx_0(H,1))) = k28_aofa_a00(A,C,D,k29_aofa_a00(A,C,D,I,k27_aofa_a00(A,C,D))) ) ) ) ) ) => r2_funct_2(k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D),F,G) ) ) ) ) ) ) ) ) ) )).
fof(l101_asympt_1,axiom,( v4_asympt_0(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k3_asympt_1(1),k1_seq_1(1))) )).
fof(l101_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))))) ) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,k7_xcmplx_0(1,2)) ) => ( v2_borsuk_7(B,k1_nat_1(2,1),2,k4_struct_0(k15_euclid(k1_nat_1(2,1))),1) | k1_funct_1(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,B)),k2_xcmplx_0(A,k7_xcmplx_0(1,2))) = k30_valued_1(k1_funct_1(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,B)),A)) ) ) ) ) )).
fof(l101_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v15_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => k25_fomodel2(A,B,D,C) = k13_fomodel2(A,B,D,C) ) ) ) ) )).
fof(l101_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ! [F] : ( ( v5_fomodel1(F,D) & m1_subset_1(F,k1_fomodel1(D)) ) => ~ ( v11_fomodel4(A,D,E) & r2_hidden(k4_tarski(B,C),k9_fomodel3(k35_fomodel1(D),k8_fomodel4(D,E,A),k1_int_2(k19_fomodel1(D,F)))) & ! [G] : ( ( v3_card_1(G,k1_int_2(k19_fomodel1(D,F))) & m2_subset_1(G,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k35_fomodel1(D))) ) => ! [H] : ( ( v3_card_1(H,k1_int_2(k19_fomodel1(D,F))) & m2_subset_1(H,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k35_fomodel1(D))) ) => ~ ( G = B & H = C & r1_tarski(k38_fomodel4(D,k1_int_2(k19_fomodel1(D,F)),G,H),A) ) ) ) ) ) ) ) )).
fof(l101_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k48_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k49_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),k45_gfacirc1(k48_gfacirc1(A,B,C),E,D)) = k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(k8_margrel1(G),k8_margrel1(H)),k8_margrel1(I)),k8_margrel1(K)),k9_margrel1(k8_margrel1(K),k8_margrel1(J))),k9_margrel1(k8_margrel1(J),k2_binarith(k2_binarith(k8_margrel1(G),k8_margrel1(H)),k8_margrel1(I))))) & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l101_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_geomtrap(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_diraf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_diraf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_diraf(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_diraf(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_diraf(A))) => ~ ( r2_analoaf(k2_diraf(A),B,C,D,E) & r2_analoaf(k2_diraf(A),B,C,D,F) & B != C & E != F ) ) ) ) ) ) ) )).
fof(l101_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( v5_glib_001(B,A) => v5_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) ) )).
fof(l101_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => m1_group_2(k10_group_2(A,B,C),B) ) ) ) )).
fof(l101_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k21_interva1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k21_interva1(A))) => k2_lattices(k21_interva1(A),B,C) = k2_lattices(k21_interva1(A),C,B) ) ) ) )).
fof(l101_jordan,axiom,( k17_euclid(k19_euclid(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) )).
fof(l101_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v10_modelc_2(B) & l1_modelc_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_modelc_2,u1_modelc_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_modelc_2,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(B)))) ) => ( r5_modelc_2(B,C,D,k1_nat_1(A,1)) => r5_modelc_2(B,C,D,A) ) ) ) ) ) )).
fof(l101_pepin,axiom,( k4_nat_d(k11_newton(3,256),k4_pepin(4)) = 282 )).
fof(l101_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(l101_toprealb,axiom,( k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1)) = k1_numbers )).
fof(l101_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(k5_numbers,C) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C)) ) ) ) ) )).
fof(l102_borsuk_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_topmetr)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_topmetr)) => ~ ( k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k8_toprealb(2)),k12_toprealb,A) = k30_valued_1(k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k8_toprealb(2)),k12_toprealb,B)) & ! [C] : ( ( v1_int_1(C) & ~ v1_abian(C) ) => A != k1_borsuk_7(B,k7_xcmplx_0(C,2)) ) ) ) ) )).
fof(l102_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,B,C) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,B,C) ) => ( k5_relat_1(D,A) = k5_relat_1(E,A) => r2_relset_1(k35_fomodel1(B),C,k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,D),k3_finseq_2(A)),k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,E),k3_finseq_2(A))) ) ) ) ) ) )).
fof(l102_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v5_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) ) => ( ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k29_fomodel4(B)),C) & v11_fomodel4(A,B,C) & v8_fomodel1(D,B) ) => v2_fomodel3(k4_fomodel3(B,D,A),B,k35_fomodel1(B),D,k8_fomodel4(B,C,A)) ) ) ) ) )).
fof(l102_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k48_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k49_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),k48_gfacirc1(k48_gfacirc1(A,B,C),E,D)) = k8_margrel1(k2_binarith(k2_binarith(k2_binarith(k2_binarith(k8_margrel1(G),k8_margrel1(H)),k8_margrel1(I)),k8_margrel1(J)),k8_margrel1(K))) & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l102_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_geomtrap(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,B,C) ) ) ) )).
fof(l102_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( ( v5_glib_001(B,A) & r1_glib_000(A,k4_glib_001(A,B),D,C) & ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( ~ r1_xxreal_0(E,1) & r1_xxreal_0(E,k3_finseq_1(B)) & k1_funct_1(B,E) = D ) ) ) => ( r2_hidden(C,k14_glib_001(A,B)) | ( ~ v3_glib_001(B,A) & v1_glib_001(B,A) ) | v5_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(l102_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k21_interva1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k21_interva1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k21_interva1(A))) => k2_lattices(k21_interva1(A),B,k2_lattices(k21_interva1(A),C,D)) = k2_lattices(k21_interva1(A),k2_lattices(k21_interva1(A),B,C),D) ) ) ) ) )).
fof(l102_jordan,axiom,( k18_euclid(k19_euclid(k4_xcmplx_0(1),3)) = 3 )).
fof(l102_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ( ( ! [E] : ! [F] : ( ( r2_tarski(E,k30_modelc_1(A)) & r2_tarski(F,k30_modelc_1(A)) ) => k1_binop_1(C,E,F) = k43_modelc_1(A,B,E,F) ) & ! [E] : ! [F] : ( ( r2_tarski(E,k30_modelc_1(A)) & r2_tarski(F,k30_modelc_1(A)) ) => k1_binop_1(D,E,F) = k43_modelc_1(A,B,E,F) ) ) => r8_binop_1(k30_modelc_1(A),k30_modelc_1(A),k30_modelc_1(A),C,D) ) ) ) ) ) )).
fof(l102_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v10_modelc_2(B) & l1_modelc_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_modelc_2,u1_modelc_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_modelc_2,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_modelc_2,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(B)))) ) => ( ( r5_modelc_2(B,C,D,A) & r5_modelc_2(B,C,E,A) ) => ! [F] : ( ( v1_modelc_2(F) & m2_finseq_1(F,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(F),A) => k1_funct_1(D,F) = k1_funct_1(E,F) ) ) ) ) ) ) ) ) )).
fof(l102_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => r1_tarski(k3_msualg_1(A,D,k10_msafree4(A,B,C)),k3_msualg_1(A,D,k1_msafree3(A,B))) ) ) ) ) )).
fof(l102_pepin,axiom,( k4_nat_d(k11_newton(3,k2_nat_1(256,2)),k4_pepin(4)) = k2_nat_1(71,197) )).
fof(l102_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos))) )).
fof(l102_toprealb,axiom,( k1_pre_topc(k2_topalg_2,k2_struct_0(k2_topalg_2)) = k2_topalg_2 )).
fof(l102_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C)) & r1_xxreal_0(B,A) ) ) ) ) )).
fof(l103_borsuk_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))))) ) => ( v5_pre_topc(A,k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1),k15_euclid(2)) => ( v2_borsuk_7(A,k1_nat_1(2,1),2,k4_struct_0(k15_euclid(k1_nat_1(2,1))),1) | ( v3_topalg_6(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A)),k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) & m1_borsuk_2(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A)),k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) ) ) ) ) )).
fof(l103_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,B,C),B) ) ) ) )).
fof(l103_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v5_chord(B,A) => v5_chord(k6_glib_001(A,B),A) ) ) ) )).
fof(l103_facirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k11_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k17_facirc_1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(E,F),k9_margrel1(F,G)),k9_margrel1(G,E)) & k1_funct_1(k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k3_facirc_1)) = k9_margrel1(E,F) & k1_funct_1(k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) = k9_margrel1(G,E) ) ) ) ) ) ) ) ) ) )).
fof(l103_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( v5_relat_1(D,k3_finseq_2(B)) => k1_funct_1(k20_fomodel0(B,A,C),k1_funct_1(k9_fomodel0(B),D)) = k1_funct_1(k9_fomodel0(B),k3_relat_1(D,k20_fomodel0(B,A,C))) ) ) ) ) )).
fof(l103_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( ( v7_fomodel1(E,D) & m1_subset_1(E,k1_fomodel1(D)) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ( ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k30_fomodel4(D)),F) & v11_fomodel4(A,D,F) & r2_hidden(k4_tarski(B,C),k9_fomodel3(k35_fomodel1(D),k8_fomodel4(D,F,A),k1_int_2(k19_fomodel1(D,E)))) & r2_tarski(k1_funct_1(k2_fomodel3(D,E),B),A) ) => r2_tarski(k1_funct_1(k2_fomodel3(D,E),C),A) ) ) ) ) )).
fof(l103_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_geomtrap(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_diraf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_diraf(A))) => r2_analoaf(k2_diraf(A),B,C,C,B) ) ) ) )).
fof(l103_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => C = D ) ) ) => v5_glib_001(B,A) ) ) ) )).
fof(l103_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ! [D] : ( ( v1_group_3(D,B) & m1_group_2(D,B) ) => ( D = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) => ( k5_group_6(B,D) = g3_algstr_0(u1_struct_0(k10_group_9(A,B,C)),u2_algstr_0(k10_group_9(A,B,C))) & k1_group_1(k5_group_6(B,D)) = k1_group_1(k10_group_9(A,B,C)) ) ) ) ) ) )).
fof(l103_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k18_interva1(A)) => ! [C] : ( m1_subset_1(C,k18_interva1(A)) => ! [D] : ( m1_subset_1(D,k18_interva1(A)) => k1_binop_1(u1_lattices(k21_interva1(A)),B,k1_binop_1(u2_lattices(k21_interva1(A)),C,D)) = k1_binop_1(u2_lattices(k21_interva1(A)),k1_binop_1(u1_lattices(k21_interva1(A)),B,C),k1_binop_1(u1_lattices(k21_interva1(A)),B,D)) ) ) ) ) )).
fof(l103_jordan,axiom,( k17_euclid(k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))) = k4_xcmplx_0(1) )).
fof(l103_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v6_supinf_2(D) & v6_supinf_2(E) ) => ( ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k1_relset_1(A,D) & F = k1_relset_1(A,E) & r1_mesfunc1(A,B,D,F) & r1_mesfunc1(A,B,E,F) ) ) | k6_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) = k3_supinf_2(k6_mesfunc5(A,B,C,D),k6_mesfunc5(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(l103_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & r5_modelc_2(A,B,D,C) ) ) ) ) )).
fof(l103_pepin,axiom,( k4_nat_d(k11_newton(3,k2_nat_1(256,4)),k4_pepin(4)) = k2_nat_1(32,257) )).
fof(l103_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))))) )).
fof(l103_toprealb,axiom,( v1_funct_1(c31__toprealb) & v1_funct_2(c31__toprealb,u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & v5_pre_topc(c31__toprealb,k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))) & m1_subset_1(c31__toprealb,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))))) )).
fof(l104_borsuk_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ~ ( ~ v2_borsuk_7(A,k1_nat_1(2,1),2,k4_struct_0(k15_euclid(k1_nat_1(2,1))),1) & v5_pre_topc(A,k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1),k15_euclid(2)) & r2_tarski(C,k8_relset_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k1_tarski(k1_funct_1(k15_borsuk_7(2,A),k7_borsuk_7)))) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,k7_xcmplx_0(1,2)) & ! [D] : ( ( v1_int_1(D) & ~ v1_abian(D) ) => ? [E] : ( m1_borsuk_2(E,k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) & r2_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),E,k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A))) & k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),C,E),k2_xcmplx_0(B,k7_xcmplx_0(1,2))) != k2_xcmplx_0(k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),C,E),B),k7_xcmplx_0(D,2)) ) ) ) ) ) )).
fof(l104_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),C) ) ) ) ) ) )).
fof(l104_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( ( v7_fomodel1(E,D) & m1_subset_1(E,k1_fomodel1(D)) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ( ( k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k26_fomodel4(D)),F) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k26_fomodel4(D)) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k28_fomodel4(D)),F) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k28_fomodel4(D)) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),F,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k30_fomodel4(D))) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),k30_fomodel4(D)) & v11_fomodel4(A,D,F) & r2_hidden(k4_tarski(B,C),k9_fomodel3(k35_fomodel1(D),k8_fomodel4(D,F,A),k1_int_2(k19_fomodel1(D,E)))) ) => ( r2_tarski(k1_funct_1(k2_fomodel3(D,E),B),A) <=> r2_tarski(k1_funct_1(k2_fomodel3(D,E),C),A) ) ) ) ) ) )).
fof(l104_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => k19_glib_001(A,B,C) = C ) ) => v5_glib_001(B,A) ) ) ) )).
fof(l104_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k21_interva1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k21_interva1(A))) => k2_lattices(k21_interva1(A),B,k1_lattices(k21_interva1(A),B,C)) = B ) ) ) )).
fof(l104_jordan,axiom,( k18_euclid(k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))) = k4_xcmplx_0(3) )).
fof(l104_modelc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => r5_modelc_2(A,B,C,D) ) => r4_modelc_2(A,B,C) ) ) ) ) )).
fof(l104_pepin,axiom,( k4_nat_d(k11_newton(3,k2_nat_1(256,8)),k4_pepin(4)) = k2_nat_1(81,809) )).
fof(l104_sin_cos6,axiom,( k2_funct_1(k3_sin_cos6) = k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k5_numbers,k28_sin_cos)) )).
fof(l104_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(l104_toprealb,axiom,( v1_funct_1(k6_toprealb(k3_sin_cos6)) & v1_funct_2(k6_toprealb(k3_sin_cos6),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos))))) & v5_pre_topc(k6_toprealb(k3_sin_cos6),k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1))),k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))) & m1_subset_1(k6_toprealb(k3_sin_cos6),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos))))))) )).
fof(l105_borsuk_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ~ ( ~ v2_borsuk_7(A,k1_nat_1(2,1),2,k4_struct_0(k15_euclid(k1_nat_1(2,1))),1) & v5_pre_topc(A,k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1),k15_euclid(2)) & r2_tarski(B,k8_relset_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k1_tarski(k1_funct_1(k15_borsuk_7(2,A),k7_borsuk_7)))) & ! [C] : ( ( v1_int_1(C) & ~ v1_abian(C) ) => ~ ! [D] : ( m1_borsuk_2(D,k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) => ( r2_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),D,k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A))) => ! [E] : ( v1_xreal_0(E) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,k7_xcmplx_0(1,2)) ) => k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),B,D),k2_xcmplx_0(E,k7_xcmplx_0(1,2))) = k2_xcmplx_0(k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),B,D),E),k7_xcmplx_0(C,2)) ) ) ) ) ) ) ) )).
fof(l105_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),C) ) ) ) ) ) ) )).
fof(l105_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v7_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k26_fomodel4(B)),D) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k26_fomodel4(B)) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k28_fomodel4(B)),D) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k28_fomodel4(B)) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),D,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k30_fomodel4(B))) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k30_fomodel4(B)) & v11_fomodel4(A,B,D) ) => v2_fomodel3(k4_fomodel3(B,C,A),B,k35_fomodel1(B),C,k8_fomodel4(B,D,A)) ) ) ) ) )).
fof(l105_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_geomtrap(A) & l1_analoaf(A) ) => v4_geomtrap(k2_diraf(A)) ) )).
fof(l105_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( ( r1_glib_000(A,k4_glib_001(A,B),D,C) & v5_glib_001(B,A) ) => ( r2_hidden(D,k13_glib_001(A,B)) | ( ~ v3_glib_001(B,A) & v1_glib_001(B,A) ) | v5_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(l105_jordan,axiom,( k17_euclid(k19_euclid(1,3)) = 1 )).
fof(l105_pepin,axiom,( k4_nat_d(k11_newton(3,k2_nat_1(256,16)),k4_pepin(4)) = 64 )).
fof(l105_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) ) )).
fof(l105_toprealb,axiom,( k1_relset_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c25__toprealb))) = c25__toprealb )).
fof(l106_borsuk_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_topmetr)) => ! [C] : ( m1_borsuk_2(C,k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) => ( r2_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),C,k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A))) => ! [D] : ( v1_int_1(D) => ( ! [E] : ( m1_borsuk_2(E,k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) => ( r2_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),E,k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A))) => ! [F] : ( v1_xreal_0(F) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k7_xcmplx_0(1,2)) ) => k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),B,E),k2_xcmplx_0(F,k7_xcmplx_0(1,2))) = k2_xcmplx_0(k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),B,E),F),k7_xcmplx_0(D,2)) ) ) ) ) => k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),B,C),1) = k2_xcmplx_0(k1_funct_1(k16_borsuk_7(k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),B,C),k5_numbers),D) ) ) ) ) ) ) )).
fof(l106_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),C) ) ) ) ) ) ) ) )).
fof(l106_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k4_xcmplx_0(B),A) & r1_xxreal_0(A,B) ) <=> r1_xxreal_0(k9_complex1(A),B) ) ) ) )).
fof(l106_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,B) ) => r2_tarski(C,k4_finseq_2(A,B)) ) ) ) )).
fof(l106_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v13_fomodel1(B,A) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(B),k16_fomodel1(A)) = k1_xboole_0 ) ) ) )).
fof(l106_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k27_fomodel4(B)),D) & r1_tarski(k7_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k26_fomodel4(B),k28_fomodel4(B)),D) & v11_fomodel4(A,B,D) ) => v2_fomodel3(k4_fomodel3(B,C,A),B,k35_fomodel1(B),C,k8_fomodel4(B,D,A)) ) ) ) ) )).
fof(l106_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( r1_xxreal_0(k3_finseq_1(B),3) => v5_glib_001(B,A) ) ) ) )).
fof(l106_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => r2_tarski(k22_interva1(A),k18_interva1(A)) ) )).
fof(l106_jordan,axiom,( k18_euclid(k19_euclid(1,3)) = 3 )).
fof(l106_lattad_1,axiom,( ? [A] : ( m1_subset_1(A,k1_enumset1(1,2,3)) & A = 2 ) )).
fof(l106_modelc_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ~ ( B != k1_xboole_0 & r1_tarski(B,k2_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,A) & r2_tarski(C,B) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & ~ r1_xxreal_0(C,D) & r2_tarski(D,B) ) ) ) ) ) ) )).
fof(l106_pepin,axiom,( k4_nat_d(k11_newton(3,k2_nat_1(256,32)),k4_pepin(4)) = k2_nat_1(256,16) )).
fof(l106_prepower,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & v2_comseq_2(C) & r1_xxreal_0(k5_numbers,A) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k1_funct_1(B,D),k5_numbers) & k1_funct_1(C,D) = k4_prepower(k1_funct_1(B,D),A) ) ) ) => ( r1_xxreal_0(k1_seq_2(B),k5_numbers) | k1_seq_2(C) = k4_prepower(k1_seq_2(B),A) ) ) ) ) ) )).
fof(l106_toprealb,axiom,( r1_tarski(k2_relset_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c25__toprealb))),c26__toprealb) )).
fof(l107_borsuk_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ v2_borsuk_7(A,k1_nat_1(2,1),2,k4_struct_0(k15_euclid(k1_nat_1(2,1))),1) & v5_pre_topc(A,k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1),k15_euclid(2)) & v3_topalg_6(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A)),k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) & m1_borsuk_2(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(3)),u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k13_borsuk_7(1),k15_borsuk_7(2,A)),k8_toprealb(2),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7),k3_funct_2(u1_struct_0(k8_toprealb(k1_nat_1(2,1))),u1_struct_0(k8_toprealb(2)),k15_borsuk_7(2,A),c18__borsuk_7)) ) ) )).
fof(l107_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),C) ) ) ) ) ) ) ) ) )).
fof(l107_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v4_fomodel2(B,A) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(B),k16_fomodel1(A)) = k1_xboole_0 ) ) ) )).
fof(l107_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v10_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k27_fomodel4(B)),D) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),D,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k29_fomodel4(B))) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k29_fomodel4(B)) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k26_fomodel4(B)),D) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k26_fomodel4(B)) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k28_fomodel4(B)),D) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k28_fomodel4(B)) & k9_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),D,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k30_fomodel4(B))) = k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k30_fomodel4(B)) & v11_fomodel4(A,B,D) ) => v2_fomodel3(k4_fomodel3(B,C,A),B,k35_fomodel1(B),C,k8_fomodel4(B,D,A)) ) ) ) ) )).
fof(l107_jordan,axiom,( k17_euclid(k19_euclid(1,k4_xcmplx_0(3))) = 1 )).
fof(l107_pepin,axiom,( k4_nat_d(k11_newton(3,k2_nat_1(256,64)),k4_pepin(4)) = k2_nat_1(673,97) )).
fof(l107_pre_poly,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_relat_2(C,B) & r4_relat_2(C,B) & r8_relat_2(C,B) ) ) ) )).
fof(l107_toprealb,axiom,( v1_funct_1(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c25__toprealb))) & v1_funct_2(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c25__toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c25__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb)))) & m1_subset_1(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c25__toprealb)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c25__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb)))))) )).
fof(l108_borsuk_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))) & v5_pre_topc(A,k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1),k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_toprealb(k1_nat_1(2,1),k4_struct_0(k15_euclid(k1_nat_1(2,1))),1)),u1_struct_0(k15_euclid(2))))) ) => v2_borsuk_7(A,k1_nat_1(2,1),2,k4_struct_0(k15_euclid(k1_nat_1(2,1))),1) ) )).
fof(l108_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,k5_margrel1) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),H),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),H),C) ) ) ) ) ) ) ) ) ) )).
fof(l108_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => m4_glib_001(B,A,B) ) ) )).
fof(l108_jordan,axiom,( k18_euclid(k19_euclid(1,k4_xcmplx_0(3))) = k4_xcmplx_0(3) )).
fof(l108_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v10_modelc_2(B) & l1_modelc_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_modelc_2,u1_modelc_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(B)))) ) => r2_tarski(k18_modelc_2(B,C,A),k20_modelc_2(B,C)) ) ) ) )).
fof(l108_pepin,axiom,( k4_nat_d(k11_newton(3,k2_nat_1(256,128)),k4_pepin(4)) = k2_nat_1(256,256) )).
fof(l108_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_rat_1(C) => ( ~ r1_xxreal_0(A,k5_numbers) => k4_prepower(k6_prepower(A,B),C) = k6_prepower(A,k3_xcmplx_0(B,C)) ) ) ) ) )).
fof(l108_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))) = k1_rcomp_1(k4_xcmplx_0(1),1) )).
fof(l108_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) ) ) ) )).
fof(l109_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m4_glib_001(C,A,B) => ! [D] : ( m4_glib_001(D,A,C) => m4_glib_001(D,A,B) ) ) ) ) )).
fof(l109_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => r2_tarski(k23_interva1(A),k18_interva1(A)) ) )).
fof(l109_jordan,axiom,( k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)) = k19_euclid(k17_euclid(k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))),k18_euclid(k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)))) )).
fof(l109_pepin,axiom,( r1_nat_d(k4_pepin(3),k1_nat_1(k11_newton(3,k1_nat_1(k2_nat_1(32,k5_numbers),128)),1)) )).
fof(l109_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(1,A) & v2_comseq_2(B) & v2_comseq_2(C) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k6_prepower(A,k1_funct_1(B,D)) ) ) => k1_seq_2(C) = k6_prepower(A,k1_seq_2(B)) ) ) ) ) )).
fof(l109_toprealb,axiom,( m1_subset_1(k5_toprealb(c25__toprealb),k1_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))))) )).
fof(l109_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( ( m1_zmodul01(B,C) & m1_zmodul01(B,D) ) => m1_zmodul01(B,k7_zmodul01(A,C,D)) ) ) ) ) ) )).
fof(l10_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_aff_1(A,B,C,D) => ( r1_aff_1(A,B,D,C) & r1_aff_1(A,C,B,D) ) ) ) ) ) ) )).
fof(l10_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_diraf(A,B,C,C,G) & r2_diraf(A,C,D,E,F) & r2_diraf(A,C,E,E,D) & r2_diraf(A,C,F,F,D) ) => r2_diraf(A,B,D,D,G) ) ) ) ) ) ) ) ) )).
fof(l10_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_0)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_0)) => ( k1_algstr_0(k3_algstr_0,A,B) = k1_algstr_0(k3_algstr_0,A,C) => B = C ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_0)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_0)) => ( k1_algstr_0(k3_algstr_0,B,A) = k1_algstr_0(k3_algstr_0,C,A) => B = C ) ) ) ) )).
fof(l10_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => k1_algstr_3(k3_algstr_3,k5_struct_0(k3_algstr_3),A,k4_struct_0(k3_algstr_3)) = A ) )).
fof(l10_ami_wstd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,u1_compos_1(k4_amistd_1(B))) => ( ( C = A & k5_compos_0(u1_compos_1(k4_amistd_1(B)),D) = 1 ) => k1_amistd_1(B,k4_amistd_1(B),C,D) = k6_domain_1(k4_ordinal1,k1_nat_1(A,1)) ) ) ) ) ) )).
fof(l10_amistd_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & l1_extpro_1(C,B) ) => ? [D] : ( ~ v1_xboole_0(D) & m2_finseq_1(D,k4_ordinal1) & k7_partfun1(k4_ordinal1,D,1) = A & k7_partfun1(k4_ordinal1,D,k3_finseq_1(D)) = A & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(D),E) | r2_tarski(k7_partfun1(k4_ordinal1,D,k1_nat_1(E,1)),k3_amistd_1(B,C,k7_partfun1(k4_ordinal1,D,E))) ) ) ) ) ) ) ) )).
fof(l10_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( F = k3_rlvect_1(A,k1_rlvect_1(A,B,J),k1_rlvect_1(A,E,K)) & E = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,G),k1_rlvect_1(A,C,H)),k1_rlvect_1(A,D,I)) ) => F = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k2_xcmplx_0(J,k3_xcmplx_0(K,G))),k1_rlvect_1(A,C,k3_xcmplx_0(K,H))),k1_rlvect_1(A,D,k3_xcmplx_0(K,I))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l10_arytm_0,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l10_arytm_2,axiom,( r1_tarski(k4_ordinal1,k2_xboole_0(k6_subset_1(a_0_3_arytm_2,a_0_4_arytm_2),k4_ordinal1)) )).
fof(l10_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ~ ( v5_pre_topc(E,k5_topmetr,A) & B = k1_funct_1(E,k5_numbers) & C = k1_funct_1(E,1) & v5_pre_topc(F,k5_topmetr,A) & C = k1_funct_1(F,k5_numbers) & D = k1_funct_1(F,1) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ~ ( v5_pre_topc(G,k5_topmetr,A) & B = k1_funct_1(G,k5_numbers) & D = k1_funct_1(G,1) & r1_tarski(k2_relset_1(u1_struct_0(A),G),k4_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),E),k2_relset_1(u1_struct_0(A),F))) ) ) ) ) ) ) ) ) ) )).
fof(l10_borsuk_5,axiom,( v1_borsuk_2(k3_topmetr) )).
fof(l10_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( k3_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k5_bvfunc_1(A,B,C),D,E),F) = k7_margrel1 => ! [G] : ( m1_subset_1(G,A) => ( r2_hidden(G,k15_bvfunc_1(A,F,k5_bvfunc_2(A,E,D))) => k3_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,C),G) = k7_margrel1 ) ) ) ) ) ) ) ) ) )).
fof(l10_cat_4,axiom,( ! [A] : ! [B] : v2_cat_1(k5_cat_4(A,B)) )).
fof(l10_cfdiff_1,axiom,( v1_funct_1(k8_funcop_1(k2_numbers,k2_numbers,k5_complex1)) & v1_funct_2(k8_funcop_1(k2_numbers,k2_numbers,k5_complex1),k2_numbers,k2_numbers) & m1_subset_1(k8_funcop_1(k2_numbers,k2_numbers,k5_complex1),k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) )).
fof(l10_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) => ( D = k10_finseq_1(A,B) => k9_euclid(2,D,C) = k10_finseq_1(k3_xcmplx_0(C,A),k3_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(l10_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) ) => ( v3_compos_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( r2_tarski(C,k4_finseq_1(k2_compos_0(B))) => r1_tarski(k4_ordinal1,k1_funct_1(k10_card_3(k6_compos_0(A,k5_compos_0(A,B))),C)) ) ) ) ) )).
fof(l10_comptrig,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k28_sin_cos,k7_xcmplx_0(k28_sin_cos,2)),k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l10_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_convex1(A,B,k5_numbers) = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) )).
fof(l10_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_convex1(B,A) => r1_tarski(a_2_0_convex3(A,B),B) ) ) ) )).
fof(l10_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k4_convfun1)) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => k1_funct_1(A,C) = k12_supinf_2(B,C) ) ) ) => k4_rlvect_1(k4_convfun1,A) = k18_rvsum_1(B) ) ) ) )).
fof(l10_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v2_cqc_the1(k8_cqc_lang(A,B,k9_cqc_lang(A,B,C)),A) & v2_cqc_the1(k8_cqc_lang(A,B,k9_cqc_lang(A,C,B)),A) ) ) ) ) )).
fof(l10_csspace2,axiom,( k4_struct_0(k16_csspace) = k4_csspace )).
fof(l10_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_complex1 ) => ( v1_comseq_2(A) & k2_seq_4(k2_relset_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A))) = k5_numbers ) ) ) )).
fof(l10_ens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( k4_tarski(k4_tarski(A,C),E) = k4_tarski(k4_tarski(B,D),F) => ( A = B & C = D ) ) )).
fof(l10_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => r1_tarski(k1_euclid_4(A,B,C),k1_euclid_4(A,C,B)) ) ) ) )).
fof(l10_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,k2_numbers) => ! [E] : ( m1_subset_1(E,k2_numbers) => ( ( D = k2_euclid_3(k5_algstr_0(k15_euclid(2),A,B)) & E = k2_euclid_3(k5_algstr_0(k15_euclid(2),C,B)) ) => k4_euclid_3(A,B,C) = k3_complex2(D,E) ) ) ) ) ) ) )).
fof(l10_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k7_euclid(3,k1_euclid_8(A,B,C),k1_euclid_8(D,E,F)) = k1_euclid_8(k2_xcmplx_0(A,D),k2_xcmplx_0(B,E),k2_xcmplx_0(C,F)) ) ) ) ) ) ) )).
fof(l10_fib_fusc,axiom,( k10_ami_3(1) != k10_ami_3(2) )).
fof(l10_fib_num,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k1_pre_ff(k1_nat_1(A,1)) != k5_numbers ) )).
fof(l10_fib_num4,axiom,( k2_power(k1_fib_num,2) = k7_xcmplx_0(k2_xcmplx_0(3,k3_square_1(5)),2) )).
fof(l10_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k1_funct_1(k1_finseq_7(A,B,D,C),D) = C ) ) ) ) ) )).
fof(l10_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [F] : ( ( v3_card_1(F,D) & m2_finseq_1(F,B) ) => ! [G] : ( ( v3_card_1(G,k5_numbers) & m2_finseq_1(G,A) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,E,G,F),k6_finseq_1(C)) ) ) ) ) ) ) ) )).
fof(l10_finset_1,axiom,( ! [A] : ( ( v1_finset_1(A) & ! [B] : ( r2_tarski(B,A) => v1_finset_1(B) ) ) => v1_finset_1(k3_tarski(A)) ) )).
fof(l10_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_setwiseo(D,A) & k3_finseq_1(C) = k5_numbers ) => k1_finsop_1(A,k8_finseq_1(A,C,k12_finseq_1(A,B)),D) = k4_binop_1(A,D,k1_finsop_1(A,C,D),B) ) ) ) ) ) )).
fof(l10_fintopo6,axiom,( ! [A] : ( l1_orders_2(A) => m1_fintopo6(g1_orders_2(u1_struct_0(A),u1_orders_2(A)),A) ) )).
fof(l10_flang_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ~ ( k1_afinsq_1(C) = k2_xcmplx_0(A,B) & ! [D] : ( ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ~ ( k1_afinsq_1(D) = A & k1_afinsq_1(E) = B & C = k1_ordinal4(D,E) ) ) ) ) ) ) ) )).
fof(l10_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xboole_0(k4_finseq_2(C,A),k4_finseq_2(D,B)) => C = D ) ) ) )).
fof(l10_fomodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,B,A) ) => ! [D] : ( ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => k4_finseq_2(k1_int_2(k30_fomodel1(B,D)),A) = k1_relset_1(k4_finseq_2(k1_int_2(k19_fomodel1(B,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k15_fomodel1(B),k22_fomodel1(B),D))),A),k4_fomodel2(B,A,C,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k15_fomodel1(B),k22_fomodel1(B),D))) ) ) ) ) )).
fof(l10_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( r2_tarski(C,k13_glib_001(A,B)) => r1_tarski(k13_glib_001(A,B),k1_glib_002(A,C)) ) ) ) ) )).
fof(l10_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_3_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l10_gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(B,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C,k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(D,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(E,k1_matrix_0(k2_goboard2(A))) & C = E & r1_tarski(k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),B,C)),k4_subset_1(u1_struct_0(k15_euclid(2)),k2_goboard9(A),k3_goboard9(A))) ) => ( ( D != k1_nat_1(B,1) & B != k1_nat_1(D,1) ) | r1_tarski(k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),D,E)),k4_subset_1(u1_struct_0(k15_euclid(2)),k2_goboard9(A),k3_goboard9(A))) ) ) ) ) ) ) ) )).
fof(l10_group_17,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ( r1_subset_1(A,B) => ( v2_funct_1(k7_finseq_1(k19_finseq_1(A),k19_finseq_1(B))) & v2_funct_2(k7_finseq_1(k19_finseq_1(A),k19_finseq_1(B)),k2_xboole_0(A,B)) & m2_finseq_1(k7_finseq_1(k19_finseq_1(A),k19_finseq_1(B)),k2_xboole_0(A,B)) & k4_finseq_1(k7_finseq_1(k19_finseq_1(A),k19_finseq_1(B))) = k2_finseq_1(k4_card_1(k2_xboole_0(A,B))) ) ) ) ) )).
fof(l10_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => m1_group_9(g1_group_9(A,u1_struct_0(B),u2_algstr_0(B),u1_group_9(A,B)),A,B) ) )).
fof(l10_hilbert4,axiom,( ! [A] : ! [B] : ( ( r2_tarski(A,k9_xtuple_0(k1_hilbert4(B))) => r2_tarski(k1_funct_1(k1_hilbert4(B),A),A) ) & k9_xtuple_0(k1_hilbert4(B)) = k6_subset_1(B,k1_tarski(k1_xboole_0)) ) )).
fof(l10_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != C & r1_aff_1(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ~ ( ~ r1_aff_1(A,B,C,E) & r1_aff_1(A,B,E,F) & r2_analoaf(A,C,E,D,F) ) & ~ ( r1_aff_1(A,B,C,E) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,G) & r1_aff_1(A,B,G,H) & r2_analoaf(A,C,G,D,H) & r2_analoaf(A,G,E,H,F) & r1_aff_1(A,B,C,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l10_int_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_1(A,B) <=> ? [C] : ( v7_ordinal1(C) & B = k3_xcmplx_0(A,C) ) ) ) ) )).
fof(l10_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(C,A) & r1_int_1(C,k6_xcmplx_0(A,B)) ) => r1_int_1(C,B) ) ) ) ) )).
fof(l10_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ( ( v1_int_7(B) & r2_tarski(A,k22_pre_poly(k8_newton,B)) ) => ( r1_int_1(A,k8_nat_3(k8_newton,B)) & ? [C] : ( v7_ordinal1(C) & r1_int_1(k1_newton(A,C),k8_nat_3(k8_newton,B)) ) ) ) ) ) )).
fof(l10_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => r1_nat_d(k1_newton(A,C),k1_newton(A,B)) ) ) ) ) )).
fof(l10_integr16,axiom,( k17_rvsum_1(k6_finseq_1(k2_numbers)) = k5_numbers )).
fof(l10_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_3_jordan1(A),k1_zfmisc_1(k1_euclid(2))) ) )).
fof(l10_jordan1d,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_xcmplx_0(2,A),1)) ) ) )).
fof(l10_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_kurato_1(A,B) = k2_xboole_0(k2_xboole_0(k4_enumset1(k2_pre_topc(A,B),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)))),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))))),k2_tarski(B,k3_subset_1(u1_struct_0(A),B))),k4_enumset1(k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B)))))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))),k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))))))) ) ) )).
fof(l10_lopban_1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l10_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),D),E),k8_cqc_lang(A,k8_cqc_lang(A,C,D),E))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l10_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) ) ) ) ) )).
fof(l10_mesfunc2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l10_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_mfold_0(k1_mfold_1(A,k4_struct_0(k15_euclid(A)),1),A) & ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) & l1_pre_topc(B) ) => ( B = k1_mfold_1(A,k4_struct_0(k15_euclid(A)),1) => v3_mfold_0(B) ) ) ) ) )).
fof(l10_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => k3_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A),B),C)) = k1_nat_1(k1_nat_1(1,k3_finseq_1(B)),k3_finseq_1(C)) ) ) ) )).
fof(l10_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( r2_modelc_2(A,C) & r2_modelc_2(B,C) ) => m1_subset_1(k2_tarski(A,B),k1_zfmisc_1(k13_modelc_2(C))) ) ) ) ) )).
fof(l10_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_nat_lat)) => ( k2_lattices(k3_nat_lat,k4_nat_lat,A) = k4_nat_lat & k2_lattices(k3_nat_lat,A,k4_nat_lat) = k4_nat_lat ) ) )).
fof(l10_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k4_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k4_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k4_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k4_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k4_ordinal1,k4_numbers) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,k4_numbers) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k4_ordinal1,k4_numbers) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k4_ordinal1,k4_numbers) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k4_ordinal1,k4_numbers) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k4_ordinal1,k4_numbers) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,k4_ordinal1,k4_numbers) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( k8_nat_1(k4_numbers,G,k5_numbers) = 1 & k8_nat_1(k4_numbers,H,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,C,k5_numbers) = A & k8_nat_1(k4_numbers,E,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,J,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,I,k5_numbers) = 1 & k8_nat_1(k4_numbers,D,k5_numbers) = B & k8_nat_1(k4_numbers,F,k5_numbers) = k5_numbers & ! [S] : ( v7_ordinal1(S) => ( k8_nat_1(k4_numbers,E,k1_nat_1(S,1)) = k4_int_1(k8_nat_1(k4_numbers,C,S),k8_nat_1(k4_numbers,D,S)) & k8_nat_1(k4_numbers,F,k1_nat_1(S,1)) = k5_int_1(k8_nat_1(k4_numbers,C,S),k8_nat_1(k4_numbers,D,S)) & k8_nat_1(k4_numbers,G,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,J,S) & k8_nat_1(k4_numbers,H,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,I,S) & k8_nat_1(k4_numbers,C,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,D,S) & k8_nat_1(k4_numbers,J,k1_nat_1(S,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,G,S),k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(S,1)),k8_nat_1(k4_numbers,J,S))) & k8_nat_1(k4_numbers,I,k1_nat_1(S,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,H,S),k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(S,1)),k8_nat_1(k4_numbers,I,S))) & k8_nat_1(k4_numbers,D,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,F,k1_nat_1(S,1)) ) ) & k8_nat_1(k4_numbers,O,k5_numbers) = 1 & k8_nat_1(k4_numbers,P,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,K,k5_numbers) = A & k8_nat_1(k4_numbers,M,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,R,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,Q,k5_numbers) = 1 & k8_nat_1(k4_numbers,L,k5_numbers) = B & k8_nat_1(k4_numbers,N,k5_numbers) = k5_numbers & ! [S] : ( v7_ordinal1(S) => ( k8_nat_1(k4_numbers,M,k1_nat_1(S,1)) = k4_int_1(k8_nat_1(k4_numbers,K,S),k8_nat_1(k4_numbers,L,S)) & k8_nat_1(k4_numbers,N,k1_nat_1(S,1)) = k5_int_1(k8_nat_1(k4_numbers,K,S),k8_nat_1(k4_numbers,L,S)) & k8_nat_1(k4_numbers,O,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,R,S) & k8_nat_1(k4_numbers,P,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,Q,S) & k8_nat_1(k4_numbers,K,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,L,S) & k8_nat_1(k4_numbers,R,k1_nat_1(S,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,O,S),k3_xcmplx_0(k8_nat_1(k4_numbers,M,k1_nat_1(S,1)),k8_nat_1(k4_numbers,R,S))) & k8_nat_1(k4_numbers,Q,k1_nat_1(S,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,P,S),k3_xcmplx_0(k8_nat_1(k4_numbers,M,k1_nat_1(S,1)),k8_nat_1(k4_numbers,Q,S))) & k8_nat_1(k4_numbers,L,k1_nat_1(S,1)) = k8_nat_1(k4_numbers,N,k1_nat_1(S,1)) ) ) ) => ( r2_funct_2(k4_ordinal1,k4_numbers,C,K) & r2_funct_2(k4_ordinal1,k4_numbers,D,L) & r2_funct_2(k4_ordinal1,k4_numbers,E,M) & r2_funct_2(k4_ordinal1,k4_numbers,F,N) & r2_funct_2(k4_ordinal1,k4_numbers,G,O) & r2_funct_2(k4_ordinal1,k4_numbers,H,P) & r2_funct_2(k4_ordinal1,k4_numbers,I,Q) & r2_funct_2(k4_ordinal1,k4_numbers,J,R) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l10_numbers,axiom,( ! [A] : ! [B] : ! [C] : ( k4_tarski(A,B) = k1_tarski(C) => ( C = k1_tarski(A) & A = B ) ) )).
fof(l10_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v2_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l10_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_rlvect_1(A,k3_rlvect_1(A,B,C),k3_rlvect_1(A,D,E)) = k3_rlvect_1(A,k3_rlvect_1(A,B,k3_rlvect_1(A,C,D)),E) ) ) ) ) ) )).
fof(l10_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k5_algstr_0(A,k8_group_1(A,B,k5_algstr_0(A,E,D)),k8_group_1(A,C,k5_algstr_0(A,E,F))) = k5_algstr_0(A,F,D) => k8_group_1(A,k3_rlvect_1(A,B,k4_algstr_0(A,k1_group_1(A))),k5_algstr_0(A,E,D)) = k8_group_1(A,k3_rlvect_1(A,C,k4_algstr_0(A,k1_group_1(A))),k5_algstr_0(A,E,F)) ) ) ) ) ) ) ) )).
fof(l10_poset_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v5_orders_3(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_abian(u1_struct_0(B),C,D) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),D,A),C) = C ) ) ) ) ) )).
fof(l10_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) <=> ( B = k3_yellow_0(A) | B = C ) ) ) ) ) )).
fof(l10_prob_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) <=> v2_prob_1(k2_prob_1(A,B)) ) ) )).
fof(l10_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_projdes1(A,B,C,D,E) => r1_projdes1(A,C,D,E,B) ) ) ) ) ) ) )).
fof(l10_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => r6_binop_1(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A)) ) )).
fof(l10_qmax_1,axiom,( ! [A] : ( ( v5_relat_1(A,k12_prob_1) & v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( v2_prob_1(A) => ( v2_comseq_2(k8_prob_1(k1_numbers,k12_prob_1,A,c2__qmax_1)) & k1_seq_2(k8_prob_1(k1_numbers,k12_prob_1,A,c2__qmax_1)) = k1_funct_1(c2__qmax_1,k3_prob_1(k1_numbers,A)) ) ) ) )).
fof(l10_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => r1_xxreal_0(k2_xcmplx_0(2,2),k1_radix_1(A)) ) ) )).
fof(l10_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_group_10(C,A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(C,A),B))) ) => ~ ( k1_card_1(C) = k4_ordinal1 & r1_tarski(C,k4_ordinal1) & B != k5_numbers & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ~ ( ~ v1_finset_1(E) & v3_funct_1(k2_partfun1(k3_group_10(C,A),B,D,k3_group_10(E,A))) ) ) ) ) ) ) )).
fof(l10_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [C] : ( v1_prob_2(C) & m2_finseq_1(C,k1_random_1(A)) & k1_relset_1(A,B) = k3_tarski(k2_relset_1(k1_random_1(A),C)) & k4_finseq_1(C) = k4_finseq_1(k19_finseq_1(k1_relset_1(A,B))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_tarski(k1_funct_1(k19_finseq_1(k1_relset_1(A,B)),D)) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( ( r2_tarski(D,k4_finseq_1(C)) & r2_tarski(E,k1_funct_1(C,D)) & r2_tarski(F,k1_funct_1(C,D)) ) => k12_supinf_2(B,E) = k12_supinf_2(B,F) ) ) ) ) ) ) ) )).
fof(l10_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & ! [F] : ! [G] : ( ( r2_tarski(F,A) & r2_tarski(G,B) ) => k1_binop_1(E,F,G) = k1_extreal1(k12_supinf_2(C,k1_tarski(F)),k12_supinf_2(D,k1_tarski(G))) ) ) ) ) ) ) )).
fof(l10_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v4_xxreal_2(k3_limfunc1(A)) ) )).
fof(l10_realset2,axiom,( k9_xtuple_0(k13_funcop_1(1,k5_numbers,1)) = k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers)) )).
fof(l10_ringcat1,axiom,( ! [A] : ( ( v3_ringcat1(A) & l1_ringcat1(A) ) => v3_ringcat1(g1_ringcat1(u1_ringcat1(A),u2_ringcat1(A),u3_ringcat1(A))) ) )).
fof(l10_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_ordinal1(k1_card_1(k5_rusub_4(A,B,C)),k1_card_1(B)) ) ) ) )).
fof(l10_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => u1_struct_0(k6_prvect_1(k2_vectsp_1,A)) = u1_struct_0(k15_euclid(A)) ) )).
fof(l10_rlvect_4,axiom,( m1_subset_1(k5_numbers,k1_numbers) )).
fof(l10_robbins4,axiom,( r1_xboole_0(k6_subset_1(3,2),2) )).
fof(l10_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => ( m1_rusub_1(B,D) => m1_rusub_1(k2_rusub_2(A,B,C),D) ) ) ) ) ) )).
fof(l10_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k6_xcmplx_0(k7_xcmplx_0(1,k1_nat_1(A,1)),k7_xcmplx_0(2,k2_nat_1(k1_nat_1(A,1),k1_nat_1(A,3)))) = k7_xcmplx_0(1,k1_nat_1(A,3)) ) )).
fof(l10_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k3_xcmplx_0(A,B)),k1_square_1(B))) = k3_xcmplx_0(k7_xcmplx_0(1,2),k3_square_1(k2_xcmplx_0(k3_xcmplx_0(4,k2_xcmplx_0(k1_square_1(A),k1_square_1(B))),k3_xcmplx_0(k3_xcmplx_0(4,A),B)))) ) ) )).
fof(l10_sin_cos6,axiom,( k1_rcomp_1(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers)),k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))) = k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(2,k28_sin_cos)) )).
fof(l10_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_eqrel_1(E,k3_xboole_0(C,D)) ) ) ) ) )).
fof(l10_srings_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( B = a_1_0_srings_2(A) <=> B = k5_finsub_1(A) ) ) )).
fof(l10_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( k9_substut1(A,k5_cqc_lang(A)) = k1_subset_1(k3_qc_lang1(A)) & ( v2_qc_lang1(B,A) => k9_substut1(A,B) = k8_substut1(A,k17_qc_lang1(A,B)) ) & ( v3_qc_lang1(B,A) => k9_substut1(A,B) = k9_substut1(A,k18_qc_lang1(A,B)) ) & ( v4_qc_lang1(B,A) => k9_substut1(A,B) = k4_subset_1(k3_qc_lang1(A),k9_substut1(A,k19_qc_lang1(A,B)),k9_substut1(A,k20_qc_lang1(A,B))) ) & ( v5_qc_lang1(B,A) => k9_substut1(A,B) = k4_subset_1(k3_qc_lang1(A),k9_substut1(A,k22_qc_lang1(A,B)),k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,B))) ) ) ) ) )).
fof(l10_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_rat_1(B) => k6_prepower(k23_sin_cos(A),B) = k23_sin_cos(k3_xcmplx_0(B,A)) ) ) )).
fof(l10_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(l10_topalg_4,axiom,( m1_subset_1(k5_numbers,u1_struct_0(k17_borsuk_1)) & m1_subset_1(1,u1_struct_0(k17_borsuk_1)) )).
fof(l10_topalg_5,axiom,( r1_xxreal_0(k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)),1) )).
fof(l10_topdim_1,axiom,( ! [A] : r2_tarski(A,k13_prob_1(u1_struct_0(k1_compts_1(A)),k4_ordinal1,k9_setfam_1(u1_struct_0(k1_compts_1(A))),k1_topdim_1(k1_compts_1(A)),1)) )).
fof(l10_topgen_6,axiom,( v1_tops_2(c1__topgen_6,k2_topgen_3) & v1_cantor_1(c1__topgen_6,k2_topgen_3) & m1_subset_1(c1__topgen_6,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topgen_3)))) )).
fof(l10_topreal2,axiom,( k17_euclid(k19_euclid(1,1)) = 1 )).
fof(l10_toprealb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => m1_subset_1(D,u1_struct_0(A)) ) ) ) ) )).
fof(l10_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => k1_funct_1(k3_facirc_1,k10_finseq_1(A,B)) = k8_margrel1(k1_binarith(k8_margrel1(A),k8_margrel1(B))) ) ) )).
fof(l10_uniform1,axiom,( k5_topmetr = k3_pcomps_1(k2_topmetr(k5_numbers,1)) )).
fof(l10_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_valuat_1(D,A,C) => ( r2_funct_2(k2_valuat_1(A,C),k5_margrel1,k8_valuat_1(A,C,D,k5_cqc_lang(A)),k8_funcop_1(k5_margrel1,k2_valuat_1(A,C),k7_margrel1)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,E) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ! [G] : ( m2_subset_1(G,k6_qc_lang1(A),k8_qc_lang1(A,E)) => r2_funct_2(k2_valuat_1(A,C),k5_margrel1,k8_valuat_1(A,C,D,k4_cqc_lang(E,A,G,F)),k5_valuat_1(A,C,E,F,k7_valuat_1(A,C,E,D,G))) ) ) ) & ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_funct_2(k2_valuat_1(A,C),k5_margrel1,k8_valuat_1(A,C,D,k6_cqc_lang(A,E)),k14_margrel1(k2_valuat_1(A,C),k8_valuat_1(A,C,D,E))) ) & ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_funct_2(k2_valuat_1(A,C),k5_margrel1,k8_valuat_1(A,C,D,k7_cqc_lang(A,B,E)),k15_margrel1(k2_valuat_1(A,C),k8_valuat_1(A,C,D,B),k8_valuat_1(A,C,D,E))) ) & ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => r2_funct_2(k2_valuat_1(A,C),k5_margrel1,k8_valuat_1(A,C,D,k11_cqc_lang(A,E,B)),k3_valuat_1(A,C,E,k8_valuat_1(A,C,D,B))) ) ) ) ) ) ) )).
fof(l10_xcmplx_0,axiom,( r2_tarski(k5_numbers,k4_ordinal1) )).
fof(l10_xreal_0,axiom,( m1_subset_1(1,k2_arytm_2) )).
fof(l10_xxreal_0,axiom,( ~ r2_hidden(k2_xxreal_0,k2_arytm_2) )).
fof(l10_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => k2_xxreal_2(k1_tarski(A)) = A ) )).
fof(l10_zf_fund2,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(k2_zf_lang(E),k2_zf_model(A)) => k2_xboole_0(k1_tarski(k4_tarski(E,C)),k2_partfun1(k4_ordinal1,B,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,B,k2_zf_fund1,D),k7_subset_1(k4_ordinal1,k4_zf_fund1(k2_zf_model(A)),k1_tarski(E)))) = k2_partfun1(k4_ordinal1,B,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,B,k2_zf_fund1,k2_zf_lang1(B,D,k2_zf_lang(E),C)),k4_zf_fund1(k2_zf_model(A))) ) ) ) ) ) ) )).
fof(l10_zfmodel1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( ( k3_finseq_1(E) = B & r1_zf_model(D,F,E) ) => ( r2_tarski(C,k2_zf_model(E)) | r1_zf_model(D,F,k7_zf_lang(C,E)) ) ) ) ) ) ) ) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( ( k3_finseq_1(D) = A & r1_zf_model(C,E,D) ) => ( r2_tarski(B,k2_zf_model(D)) | r1_zf_model(C,E,k7_zf_lang(B,D)) ) ) ) ) ) ) ) ) )).
fof(l110_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v10_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( v13_fomodel4(D,1,B) & v11_fomodel4(A,B,D) ) => v2_fomodel3(k4_fomodel3(B,C,A),B,k35_fomodel1(B),C,k8_fomodel4(B,D,A)) ) ) ) ) )).
fof(l110_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( m4_glib_001(B,A,C) => r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) )).
fof(l110_jordan,axiom,( k19_euclid(k4_xcmplx_0(1),3) = k19_euclid(k17_euclid(k19_euclid(k4_xcmplx_0(1),3)),k18_euclid(k19_euclid(k4_xcmplx_0(1),3))) )).
fof(l110_pepin,axiom,( r1_nat_d(k4_pepin(4),k1_nat_1(k11_newton(3,k1_nat_1(k2_nat_1(64,k5_numbers),k2_nat_1(256,128))),1)) )).
fof(l110_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))) = k1_rcomp_1(k5_numbers,k28_sin_cos) )).
fof(l110_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( r1_tarski(A,k2_zfmisc_1(C,E)) & r1_tarski(B,k2_zfmisc_1(D,F)) & ! [G] : ! [H] : ( r2_hidden(k4_tarski(G,H),A) <=> r2_hidden(k4_tarski(G,H),B) ) ) => A = B ) )).
fof(l110_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( ( m1_zmodul01(B,D) & m1_zmodul01(C,D) ) => m1_zmodul01(k6_zmodul01(A,B,C),D) ) ) ) ) ) )).
fof(l111_card_3,axiom,( ! [A] : ! [B] : ( ( r1_tarski(B,A) & v4_card_3(A) ) => v4_card_3(B) ) )).
fof(l111_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_funct_1(A) & v2_margrel1(A) & v3_margrel1(A,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1),k4_ordinal1))) ) => ( k18_margrel1(A) = 2 => ( k9_xtuple_0(k5_funct_6(k10_finseq_1(k5_comput_1(3,1),k5_comput_1(3,3)))) = k9_subset_1(k3_finseq_2(k4_ordinal1),k1_relset_1(k3_finseq_2(k4_ordinal1),k5_comput_1(3,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),k5_comput_1(3,3))) & k9_xtuple_0(k5_funct_6(k10_finseq_1(k5_comput_1(3,1),k5_comput_1(3,3)))) = k4_finseq_2(3,k4_ordinal1) & k9_xtuple_0(k3_relat_1(k5_funct_6(k10_finseq_1(k5_comput_1(3,1),k5_comput_1(3,3))),A)) = k4_finseq_2(3,k4_ordinal1) & ? [B] : ( v1_funct_1(B) & v2_margrel1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1),k4_ordinal1))) & B = k3_relat_1(k5_funct_6(k10_finseq_1(k5_comput_1(3,1),k5_comput_1(3,3))),A) & m2_rfunct_3(B,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) & k18_margrel1(B) = 3 & v3_margrel1(B,k4_ordinal1) & ~ v1_xboole_0(B) ) ) ) ) )).
fof(l111_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m2_convex4(E,A,k8_domain_1(u1_struct_0(A),B,C,D)) => ~ ( B != C & C != D & D != B & k4_convex4(A,E) != k3_rlvect_1(A,k3_rlvect_1(A,k1_clvect_1(A,B,k3_funct_2(u1_struct_0(A),k2_numbers,E,B)),k1_clvect_1(A,C,k3_funct_2(u1_struct_0(A),k2_numbers,E,C))),k1_clvect_1(A,D,k3_funct_2(u1_struct_0(A),k2_numbers,E,D))) ) ) ) ) ) ) )).
fof(l111_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( v13_fomodel4(C,k5_numbers,B) & v11_fomodel4(A,B,C) ) => ( v1_partfun1(k8_fomodel4(B,C,A),k35_fomodel1(B)) & v3_relat_2(k8_fomodel4(B,C,A)) & v8_relat_2(k8_fomodel4(B,C,A)) & m1_subset_1(k8_fomodel4(B,C,A),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(B),k35_fomodel1(B)))) ) ) ) ) )).
fof(l111_jordan,axiom,( k19_euclid(1,k4_xcmplx_0(3)) = k19_euclid(k17_euclid(k19_euclid(1,k4_xcmplx_0(3))),k18_euclid(k19_euclid(1,k4_xcmplx_0(3)))) )).
fof(l111_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v1_finseq_1(A) ) => k19_rvsum_1(A) = 1 ) )).
fof(l111_toprealb,axiom,( m1_subset_1(k5_toprealb(c26__toprealb),k1_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))))) )).
fof(l111_zfmisc_1,axiom,( ! [A] : ! [B] : ( ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ! [E] : C != k4_tarski(D,E) ) & ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ! [E] : C != k4_tarski(D,E) ) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),A) <=> r2_hidden(k4_tarski(C,D),B) ) ) => A = B ) )).
fof(l112_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_bcialg_1(A,k2_bcialg_1(A,B),B) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_bcialg_1(A,k1_bcialg_1(A,B,C)) = k2_bcialg_1(A,k1_bcialg_1(A,C,B)) ) ) ) ) )).
fof(l112_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => v4_lattice3(k21_interva1(A)) ) )).
fof(l112_jordan,axiom,( k19_euclid(1,3) = k19_euclid(k17_euclid(k19_euclid(1,3)),k18_euclid(k19_euclid(1,3))) )).
fof(l112_toprealb,axiom,( k1_pre_topc(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1))),c36__toprealb) = k1_pre_topc(k2_topalg_2,k5_toprealb(c25__toprealb)) )).
fof(l113_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_bcialg_1(A,k1_bcialg_1(A,B,C)) = k2_bcialg_1(A,k1_bcialg_1(A,C,B)) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k1_bcialg_1(A,B,C)) ) ) ) ) )).
fof(l113_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [G] : ( v2_fomodel4(G,C) => ! [H] : ( v2_fomodel4(H,C) => ! [I] : ! [J] : ! [K] : ( ( v7_fomodel4(k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))),D,E),C) & v7_fomodel4(k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))),k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))),D,E),F),C) & v5_fomodel4(I,A,C,D,G) & v5_fomodel4(J,A,C,E,H) & v5_fomodel4(K,B,C,F,k2_tarski(I,J)) ) => v5_fomodel4(K,k2_xcmplx_0(A,B),C,k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))),k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))),D,E),F),k2_xboole_0(G,H)) ) ) ) ) ) ) ) ) ) )).
fof(l113_jordan,axiom,( k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3))),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))))) )).
fof(l113_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => m1_subset_1(k10_xtuple_0(D),k1_zfmisc_1(u1_struct_0(k6_prvect_1(C,B)))) ) ) ) ) )).
fof(l113_scmfsa_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ( v2_extpro_1(A,k5_card_1(3),k1_scmfsa_2) => A = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) ) ) )).
fof(l113_toprealb,axiom,( k1_pre_topc(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos))),c37__toprealb) = k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb)) )).
fof(l114_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k1_bcialg_1(A,B,C)) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,C,B)),k4_bcialg_1(A)) ) ) ) ) )).
fof(l114_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( v7_fomodel4(D,B) & r2_tarski(k25_fomodel4(B),D) & r2_tarski(k35_fomodel4(B),D) & v10_fomodel4(k2_xboole_0(A,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),C)),B,D) ) => v9_fomodel4(k35_fomodel2(B,C),B,D,A) ) ) ) ) )).
fof(l114_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3)))) )).
fof(l114_toprealb,axiom,( v5_pre_topc(c35__toprealb,k1_pre_topc(k2_topalg_2,k5_toprealb(c25__toprealb)),k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb))) )).
fof(l115_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,C,B)),k4_bcialg_1(A)) ) ) => v14_bcialg_1(A) ) ) )).
fof(l115_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( v10_fomodel4(A,B,D) & v7_fomodel4(D,B) & r2_tarski(k25_fomodel4(B),D) & r2_tarski(k35_fomodel4(B),D) ) => v9_fomodel4(k35_fomodel2(B,C),B,D,A) ) ) ) ) )).
fof(l115_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => r1_tarski(k11_intpro_1(k11_intpro_1(A)),k11_intpro_1(A)) ) )).
fof(l115_jordan,axiom,( r1_tarski(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l115_toprealb,axiom,( v1_funct_1(k4_pscomp_1) & v1_funct_2(k4_pscomp_1,u1_struct_0(k15_euclid(2)),u1_struct_0(k2_topalg_2)) & m1_subset_1(k4_pscomp_1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k2_topalg_2)))) )).
fof(l115_waybel_1,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & l1_orders_2(A) ) => ( ( v2_waybel_1(A) & v10_waybel_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,k12_lattice3(A,k13_lattice3(A,D,C),B),D) & r3_orders_2(A,D,k13_lattice3(A,k12_lattice3(A,D,B),C)) ) ) ) ) ) ) )).
fof(l115_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_xcmplx_0(1,k5_xcmplx_0(A)) = A ) )).
fof(l115_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( r2_hidden(A,k2_zfmisc_1(B,C)) & ! [D] : ! [E] : k4_tarski(D,E) != A ) )).
fof(l115_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => r1_tarski(u1_struct_0(B),u1_struct_0(k6_zmodul01(A,B,C))) ) ) ) )).
fof(l116_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_bcialg_1(A,k2_bcialg_1(A,B),B) ) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,C),D),k1_bcialg_1(A,B,k1_bcialg_1(A,C,D))) ) ) ) ) ) )).
fof(l116_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v4_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) ) => ! [E] : ( ( v4_fomodel1(E,B) & m1_subset_1(E,k1_fomodel1(B)) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( v7_fomodel4(F,B) & r2_tarski(k25_fomodel4(B),F) & r2_tarski(k35_fomodel4(B),F) & r2_tarski(k26_fomodel4(B),F) & r2_tarski(k32_fomodel4(B),F) & v10_fomodel4(k2_xboole_0(A,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k24_fomodel3(B,D,E,C))),B,F) ) => ( v7_fomodel2(E,k2_xboole_0(A,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),C)),B) | v10_fomodel4(k2_xboole_0(A,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k42_fomodel1(B,k43_fomodel1(B,D),C))),B,F) ) ) ) ) ) ) ) )).
fof(l116_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3)),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l116_modelc_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k23_modelc_3(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k23_modelc_3(D)))) ) => ( ( r2_tarski(k7_modelc_2(B,C),u1_modelc_3(D,k10_modelc_3(k8_nat_1(k23_modelc_3(D),E,1),D))) & ! [F] : ( v7_ordinal1(F) => r6_modelc_3(D,k10_modelc_3(k8_nat_1(k23_modelc_3(D),E,F),D),k10_modelc_3(k8_nat_1(k23_modelc_3(D),E,k1_nat_1(F,1)),D)) ) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & ~ r1_xxreal_0(A,F) & r2_tarski(C,u1_modelc_3(D,k10_modelc_3(k8_nat_1(k23_modelc_3(D),E,F),D))) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(A,F) | ( r2_tarski(B,u1_modelc_3(D,k10_modelc_3(k8_nat_1(k23_modelc_3(D),E,F),D))) & r2_tarski(k7_modelc_2(B,C),u1_modelc_3(D,k10_modelc_3(k8_nat_1(k23_modelc_3(D),E,F),D))) ) ) ) ) ) ) ) ) ) ) )).
fof(l116_sin_cos,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k1_rcomp_1(k5_numbers,1))) = k1_rcomp_1(k5_numbers,1) & ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k1_rcomp_1(k5_numbers,1)) => k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k1_rcomp_1(k5_numbers,1)),A) = k1_funct_1(k26_sin_cos,A) ) ) )).
fof(l116_toprealb,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),c38__toprealb) = u1_struct_0(k15_euclid(2)) )).
fof(l116_waybel_1,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,k12_lattice3(A,k13_lattice3(A,D,C),B),D) & r3_orders_2(A,D,k13_lattice3(A,k12_lattice3(A,D,B),C)) ) ) ) ) => ( v9_waybel_1(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_waybel_1(A,k7_waybel_1(A,B)) = B ) ) ) ) )).
fof(l116_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => k6_zmodul01(A,B,C) = C ) ) ) ) )).
fof(l117_fomodel0,axiom,( ! [A] : ( v4_funct_1(A) => ( ( v1_finset_1(A) & v5_finset_1(A) ) => v1_finset_1(k21_fomodel0(A)) ) ) )).
fof(l117_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => v9_intpro_1(k11_intpro_1(A)) ) )).
fof(l117_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3)))) )).
fof(l117_sin_cos,axiom,( r2_fdiff_1(k26_sin_cos,k2_rcomp_1(k5_numbers,1)) & ! [A] : ( v1_xreal_0(A) => ~ ( r2_hidden(A,k2_rcomp_1(k5_numbers,1)) & r1_xxreal_0(k1_fdiff_1(k26_sin_cos,A),k5_numbers) ) ) )).
fof(l117_toprealb,axiom,( v5_pre_topc(c38__toprealb,k15_euclid(2),k2_topalg_2) )).
fof(l117_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k5_xcmplx_0(B),k5_xcmplx_0(A)) ) ) ) ) )).
fof(l118_jordan,axiom,( r1_tarski(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l118_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k23_modelc_3(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k23_modelc_3(C)))) ) => ~ ( r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,1),C))) & ! [E] : ( v7_ordinal1(E) => r6_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C),k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,k1_nat_1(E,1)),C)) ) & ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(1,E) & ~ ( r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C))) & r2_tarski(A,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C))) & ~ r2_tarski(B,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C))) ) ) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r2_tarski(B,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C))) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(E,F) | ( r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,F),C))) & r2_tarski(A,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,F),C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l118_toprealb,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k11_toprealb(k9_toprealb)))) => ( A = a_0_2_toprealb => v5_pre_topc(k2_tmap_1(k11_toprealb(k9_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))),k14_toprealb,k1_pre_topc(k11_toprealb(k9_toprealb),A)),k1_pre_topc(k11_toprealb(k9_toprealb),A),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))) ) ) )).
fof(l118_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(k5_numbers,B) | r1_xxreal_0(k5_xcmplx_0(B),k5_xcmplx_0(A)) ) ) ) ) )).
fof(l119_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k18_sin_cos)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k18_sin_cos),A)) ) ) )).
fof(l119_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3)),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l119_toprealb,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k11_toprealb(k9_toprealb)))) => ( A = a_0_3_toprealb => v5_pre_topc(k2_tmap_1(k11_toprealb(k9_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))),k14_toprealb,k1_pre_topc(k11_toprealb(k9_toprealb),A)),k1_pre_topc(k11_toprealb(k9_toprealb),A),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))) ) ) )).
fof(l11_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != E & C != D & r2_diraf(A,B,C,C,E) & r2_diraf(A,B,D,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( F != G & r2_diraf(A,C,D,F,G) & r2_diraf(A,C,F,F,D) & r2_diraf(A,C,G,G,D) ) ) ) ) ) ) ) ) ) )).
fof(l11_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_3)) => k1_algstr_3(k3_algstr_3,A,k4_struct_0(k3_algstr_3),B) = B ) ) )).
fof(l11_ami_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) & v5_memstr_0(B,k5_card_1(2),k1_ami_3,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_ami_3)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_tarski(k1_ami_4,C) => ( r1_xxreal_0(k1_funct_1(B,k10_ami_3(k5_numbers)),k5_numbers) | r1_xxreal_0(k1_funct_1(B,k10_ami_3(1)),k5_numbers) | ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A)),k10_ami_3(k5_numbers)),k5_numbers) & ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A)),k10_ami_3(1)),k5_numbers) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A))) = k5_numbers ) | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A)),k10_ami_3(1)) = k5_numbers & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A))) = 4 ) ) ) ) ) ) ) ) )).
fof(l11_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => k1_rlvect_1(A,B,k2_xcmplx_0(k2_xcmplx_0(C,D),E)) = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,C),k1_rlvect_1(A,B,D)),k1_rlvect_1(A,B,E)) ) ) ) ) ) )).
fof(l11_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(k8_arytm_2(A,B),k8_arytm_2(A,C)) => ( A = k11_arytm_3 | r1_arytm_2(B,C) ) ) ) ) ) )).
fof(l11_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),C) = k6_real_1(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,B,C)) ) ) ) )).
fof(l11_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k1_autalg_1(A)) => ( k9_xtuple_0(B) = k10_xtuple_0(B) & k9_xtuple_0(B) = u1_struct_0(A) ) ) ) )).
fof(l11_bhsp_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(A,B))) ) ) => A = B ) ) ) )).
fof(l11_bintree2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => m2_finseq_1(k4_finseq_5(A,B),A) ) ) )).
fof(l11_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ( m2_funct_2(C,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ( k7_relat_1(C,B) = k6_domain_1(k5_margrel1,k6_margrel1) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( r1_boolmark(A,C,D) => k7_relat_1(k2_boolmark(A,C,D),B) = k6_domain_1(k5_margrel1,k6_margrel1) ) ) ) ) => v4_petri(B,A) ) ) ) )).
fof(l11_card_2,axiom,( ! [A] : ! [B] : r2_wellord2(k2_zfmisc_1(A,B),k2_zfmisc_1(k1_card_1(A),B)) )).
fof(l11_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => m1_subset_1(k10_finseq_1(A,B),u1_struct_0(k4_real_ns1(2))) ) ) )).
fof(l11_clopban1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( m2_funct_2(C,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [D] : ( m2_funct_2(D,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [E] : ( v1_xcmplx_0(E) => k1_binop_1(k2_lopban_1(A,B),k1_funct_1(k2_clopban1(A,B),k4_tarski(E,C)),k1_funct_1(k2_clopban1(A,B),k4_tarski(E,D))) = k1_funct_1(k2_clopban1(A,B),k4_tarski(E,k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D))) ) ) ) ) ) )).
fof(l11_complex1,axiom,( m1_subset_1(k5_numbers,k1_numbers) & m1_subset_1(1,k1_numbers) )).
fof(l11_comptrig,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k7_xcmplx_0(k28_sin_cos,2)) = k3_xcmplx_0(2,k28_sin_cos) )).
fof(l11_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A,k6_rusub_4(A,B,C),D) = k6_rusub_4(A,B,k6_rusub_4(A,C,D)) ) ) ) ) )).
fof(l11_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => k4_extreal1(k8_finseq_1(k6_numbers,A,k12_finseq_1(k6_numbers,B))) = k3_supinf_2(k4_extreal1(A),B) ) ) )).
fof(l11_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) & v2_cqc_the1(k8_cqc_lang(A,D,C),A) ) => v2_cqc_the1(k8_cqc_lang(A,k9_cqc_lang(A,B,D),C),A) ) ) ) ) ) )).
fof(l11_csspace2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => k1_algstr_0(k16_csspace,A,B) = k1_series_1(k2_numbers,k2_csspace(A),k2_csspace(B)) ) ) )).
fof(l11_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_comseq_2(A) => v1_comseq_2(k55_valued_1(k4_ordinal1,k2_numbers,A)) ) ) )).
fof(l11_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v7_struct_0(A) => k2_normsp_0(A,B) = k2_normsp_0(k17_dualsp01(k17_dualsp01(A)),k3_funct_2(u1_struct_0(A),u1_struct_0(k17_dualsp01(k17_dualsp01(A))),k2_dualsp02(A),B)) ) ) ) )).
fof(l11_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => ( B = k5_numbers => k1_comptrig(k2_complex2(B,k4_xcmplx_0(k1_comptrig(A)))) = k5_numbers ) ) ) )).
fof(l11_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => k7_euclid(3,k7_euclid(3,A,B),k7_euclid(3,C,D)) = k7_euclid(3,k7_euclid(3,A,C),k7_euclid(3,B,D)) ) ) ) ) )).
fof(l11_extreal1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => k4_extreal1(k8_finseq_1(k6_numbers,A,k12_finseq_1(k6_numbers,B))) = k3_supinf_2(k4_extreal1(A),B) ) ) )).
fof(l11_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [C] : ( ( v1_funct_1(C) & v9_ordinal1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,D) = k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D)),k1_relset_1(k1_numbers,B)) ) => v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,C),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),B),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,B)))) ) ) ) => ( ! [C] : ( m1_rcomp_1(C,A) => ~ r1_tarski(C,k1_relset_1(k1_numbers,B)) ) | ( r1_fdiff_1(B,A) & ! [C] : ( ( v1_funct_1(C) & v9_ordinal1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,D) = k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D)),k1_relset_1(k1_numbers,B)) ) => k1_fdiff_1(B,A) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,C),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),B),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,B)))) ) ) ) ) ) ) ) ) )).
fof(l11_fib_fusc,axiom,( k10_ami_3(1) != k10_ami_3(3) )).
fof(l11_fib_num4,axiom,( k2_power(k2_fib_num,2) = k7_xcmplx_0(k6_xcmplx_0(3,k3_square_1(5)),2) )).
fof(l11_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [F] : ( ( v3_card_1(F,k5_numbers) & m2_finseq_1(F,B) ) => r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,E,D,F),k6_finseq_1(C)) ) ) ) ) ) ) )).
fof(l11_fomodel0,axiom,( ! [A] : k4_finseq_2(k5_numbers,A) = k1_tarski(k1_xboole_0) )).
fof(l11_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_2_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l11_gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(B,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C,k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(D,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(E,k1_matrix_0(k2_goboard2(A))) & B = D & r1_tarski(k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),B,C)),k4_subset_1(u1_struct_0(k15_euclid(2)),k2_goboard9(A),k3_goboard9(A))) ) => ( ( E != k1_nat_1(C,1) & C != k1_nat_1(E,1) ) | r1_tarski(k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),D,E)),k4_subset_1(u1_struct_0(k15_euclid(2)),k2_goboard9(A),k3_goboard9(A))) ) ) ) ) ) ) ) )).
fof(l11_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => m1_group_6(k5_group_4(A,k8_group_2(A,B)),A,B) ) ) )).
fof(l11_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r1_rewrite1(k3_polyred(A,B,C,F),D,E) => ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) ) ) ) ) ) )).
fof(l11_group_17,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k2_xboole_0(A,B)) & v1_funct_1(G) ) => ( ( r1_subset_1(A,B) & G = k1_funct_4(C,D) & E = k3_relat_1(k19_finseq_1(A),C) & F = k3_relat_1(k19_finseq_1(B),D) ) => k7_finseq_1(E,F) = k3_relat_1(k7_finseq_1(k19_finseq_1(A),k19_finseq_1(B)),G) ) ) ) ) ) ) ) ) )).
fof(l11_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v2_group_9(C,A) & m1_group_9(C,A,B) ) => ! [D] : ( ( v2_group_9(D,A) & m1_group_9(D,A,B) ) => ( u1_struct_0(C) = u1_struct_0(D) => C = D ) ) ) ) )).
fof(l11_henmodel,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k2_finseq_1(k3_finseq_1(k7_finseq_1(A,B))) = k4_subset_1(k4_ordinal1,k2_finseq_1(k3_finseq_1(A)),k2_calcul_2(k3_finseq_1(A),k3_finseq_1(B))) ) ) )).
fof(l11_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != C & B != D & r1_aff_1(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ~ ( ~ r1_aff_1(A,B,C,F) & r1_aff_1(A,B,F,E) & r2_analoaf(A,C,F,D,E) ) & ~ ( r1_aff_1(A,B,C,F) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,G) & r1_aff_1(A,B,G,H) & r2_analoaf(A,C,G,D,H) & r2_analoaf(A,G,F,H,E) & r1_aff_1(A,B,C,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l11_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,k5_vfunct_1(k4_ordinal1,A,B)),B) ) ) )).
fof(l11_int_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(1,A) => A = k5_numbers ) ) )).
fof(l11_int_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_int_1(A,B) & r1_int_1(B,A) ) => A = B ) ) ) )).
fof(l11_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( v1_int_2(A) & r1_int_2(A,B) & r1_nat_d(A,B) ) ) ) )).
fof(l11_int_7,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ~ ( v1_int_7(C) & k8_finseq_1(k4_ordinal1,A,k3_pre_poly(k4_ordinal1,B)) = k3_relat_1(k19_finseq_1(k22_pre_poly(k8_newton,C)),C) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k8_newton) & v1_funct_1(G) & v1_partfun1(G,k8_newton) & v4_valued_0(G) & v2_pre_poly(G) ) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & v1_int_7(G) & r2_tarski(E,k22_pre_poly(k8_newton,C)) & k22_pre_poly(k8_newton,G) = k7_subset_1(k8_newton,k22_pre_poly(k8_newton,C),k1_tarski(E)) & B = k1_newton(E,F) & k3_finseq_1(D) = k3_finseq_1(A) & k2_wsierp_1(A) = k2_wsierp_1(D) & D = k3_relat_1(k19_finseq_1(k22_pre_poly(k8_newton,G)),G) ) ) ) ) ) ) ) ) ) )).
fof(l11_integr16,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => k17_rvsum_1(k8_finseq_1(k2_numbers,A,k12_finseq_1(k2_numbers,B))) = k2_xcmplx_0(k17_rvsum_1(A),B) ) ) )).
fof(l11_integr18,axiom,( v1_xreal_0(1) )).
fof(l11_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D))) => r1_xxreal_0(k9_complex1(k1_funct_1(F,G)),E) ) ) ) => r1_xxreal_0(k9_complex1(k4_integra5(C,D,F)),k3_xcmplx_0(E,k9_complex1(k6_xcmplx_0(D,C)))) ) ) ) ) ) ) ) )).
fof(l11_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_0_jordan1(A),k1_zfmisc_1(k1_euclid(2))) ) )).
fof(l11_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k6_xcmplx_0(k3_xcmplx_0(2,A),2) = k7_nat_d(k3_xcmplx_0(2,A),2) ) ) )).
fof(l11_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) => ( C = k5_euclid(A) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( ( F = D & k1_rlvect_1(k15_euclid(A),F,B) = E ) => k3_xcmplx_0(B,k3_metric_1(k14_euclid(A),C,D)) = k3_metric_1(k14_euclid(A),C,E) ) ) ) ) ) ) ) ) ) )).
fof(l11_lpspace1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l11_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,C,k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),B),B)),k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),B),B)),k4_cqc_the1(A)) ) ) ) )).
fof(l11_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(k1_nat_1(A,2))) & r2_tarski(E,k2_finseq_1(k1_nat_1(A,2))) ) => ( r1_xxreal_0(E,D) | k1_group_1(B) = k4_algstr_0(B,k1_group_1(B)) | ( ~ ( k1_funct_1(k1_matrix11(A,B,C),k2_tarski(D,E)) = k1_group_1(B) & r1_xxreal_0(k1_funct_1(C,E),k1_funct_1(C,D)) ) & ~ ( k1_funct_1(k1_matrix11(A,B,C),k2_tarski(D,E)) = k4_algstr_0(B,k1_group_1(B)) & r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(C,E)) ) ) ) ) ) ) ) ) ) )).
fof(l11_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(C)) => k3_matrix_0(k1_numbers,k4_matrixr1(C),A,B) = k1_real_1(k3_matrix_0(k1_numbers,C,A,B)) ) ) ) ) )).
fof(l11_mesfunc9,axiom,( v1_xxreal_0(k5_numbers) )).
fof(l11_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,B,C) = k8_group_1(A,C,B) ) ) ) )).
fof(l11_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v5_modelc_2(A) & ~ v4_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) => m1_subset_1(k2_tarski(k11_modelc_2(A),k12_modelc_2(A)),k1_zfmisc_1(k13_modelc_2(A))) ) ) )).
fof(l11_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A,B,C) = k6_rusub_4(A,C,B) ) ) ) )).
fof(l11_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => k4_finseq_1(k4_prvect_2(A)) = k4_finseq_1(A) ) )).
fof(l11_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k1_newton(A,C),k1_newton(B,C)) ) ) ) ) )).
fof(l11_numbers,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ~ r2_tarski(k5_funct_4(k1_numbers,k5_ordinal1,k12_arytm_3,A,B),k1_numbers) ) ) )).
fof(l11_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v3_o_ring_1(B,A) ) ) ) )).
fof(l11_ordeq_02,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k4_real_ns1(1))) => ? [B] : ( v1_xreal_0(B) & A = k9_finseq_1(B) ) ) )).
fof(l11_orders_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ~ ( v5_orders_3(D,A,B) & v5_orders_3(E,B,C) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ~ ( r2_funct_2(u1_struct_0(A),u1_struct_0(C),F,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E)) & v5_orders_3(F,A,C) ) ) ) ) ) ) ) ) )).
fof(l11_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_algstr_0(A,k1_algstr_0(A,C,B),k1_algstr_0(A,D,B)) = k5_algstr_0(A,C,D) ) ) ) ) )).
fof(l11_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k5_algstr_0(A,B,C) = k5_algstr_0(A,E,D) => D = k5_algstr_0(A,k3_rlvect_1(A,C,E),B) ) ) ) ) ) ) )).
fof(l11_polyform,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k2_xcmplx_0(k5_numbers,1),A) ) ) )).
fof(l11_poset_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(B)) & v5_orders_3(F,B,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(B)) & v5_orders_3(G,B,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( r1_yellow_2(u1_struct_0(B),B,F,G) & D = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),F,A),C) & E = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),G,A),C) ) => r3_orders_2(B,D,E) ) ) ) ) ) ) ) ) )).
fof(l11_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => m1_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),A) ) )).
fof(l11_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_newton(B,C),k1_newton(A,C)) ) ) ) ) )).
fof(l11_qmax_1,axiom,( m2_prob_1(c2__qmax_1,k1_numbers,k12_prob_1) )).
fof(l11_quaterni,axiom,( m1_subset_1(1,k1_numbers) & m1_subset_1(k5_numbers,k1_numbers) )).
fof(l11_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ( ( ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,B) ) => k1_binop_1(E,G,H) = k1_extreal1(k12_supinf_2(C,k1_tarski(G)),k12_supinf_2(D,k1_tarski(H))) ) & ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,B) ) => k1_binop_1(F,G,H) = k1_extreal1(k12_supinf_2(C,k1_tarski(G)),k12_supinf_2(D,k1_tarski(H))) ) ) => r8_binop_1(A,B,k1_numbers,E,F) ) ) ) ) ) ) ) )).
fof(l11_realset2,axiom,( k9_xtuple_0(k13_funcop_1(k5_numbers,1,1)) = k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,1)) )).
fof(l11_robbins4,axiom,( r1_ordinal1(k5_card_1(1),k5_card_1(2)) )).
fof(l11_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => ( ( m1_rusub_1(B,C) & m1_rusub_1(B,D) ) => m1_rusub_1(B,k2_rusub_2(A,C,D)) ) ) ) ) ) )).
fof(l11_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k1_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),1)) = k11_scmfsa_2(k1_nat_1(k4_card_1(k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),1)) ) ) )).
fof(l11_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ! [H] : ( m2_finseq_1(H,k4_numbers) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( k1_funct_1(B,D) = F & k3_finseq_1(G) = J & k3_finseq_1(H) = J & r1_scpisort(G,B,I) & r1_scpisort(H,k6_scmpds_4(k2_scmpds_8(D,E,C),B,A),I) & 1 = k1_funct_1(B,k2_scmpds_2(F,E)) & K = k1_nat_1(k2_xcmplx_0(I,J),1) & k1_nat_1(I,1) = k1_funct_1(B,k1_scmp_gcd(K)) & k2_xcmplx_0(I,J) = k1_funct_1(B,k1_scmp_gcd(k1_nat_1(K,1))) & ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(L,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ! [N] : ( m2_finseq_1(N,k4_numbers) => ! [O] : ( m2_finseq_1(O,k4_numbers) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( v7_ordinal1(R) => ! [S] : ( v7_ordinal1(S) => ( ( k1_funct_1(L,D) = F & k1_nat_1(k3_xcmplx_0(2,P),1) = k1_funct_1(L,k2_scmpds_2(F,E)) & Q = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(I,J),k3_xcmplx_0(2,P)),1) & k2_xcmplx_0(I,R) = k1_funct_1(L,k1_scmp_gcd(Q)) & k2_xcmplx_0(I,S) = k1_funct_1(L,k1_scmp_gcd(k1_nat_1(Q,1))) ) => ( ( ~ ( r1_xxreal_0(1,R) & r1_xxreal_0(S,J) ) & ~ r1_xxreal_0(S,R) ) | ( r1_scmpds_6(C,L,M) & r2_scmpds_6(C,L,M) & k1_funct_1(k6_scmpds_4(C,L,M),D) = k1_funct_1(L,D) & ! [T] : ( v7_ordinal1(T) => ( r1_xxreal_0(1,T) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,P),1),T) | k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(I,J),T))) = k1_funct_1(L,k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(I,J),T))) ) ) ) & ( r1_xxreal_0(S,R) => ( k1_funct_1(k6_scmpds_4(C,L,M),k2_scmpds_2(F,E)) = k6_xcmplx_0(k3_xcmplx_0(2,P),1) & ! [T] : ( v7_ordinal1(T) => ( ( r1_xxreal_0(1,T) & r1_xxreal_0(T,J) ) => k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k2_xcmplx_0(I,T))) = k1_funct_1(L,k1_scmp_gcd(k2_xcmplx_0(I,T))) ) ) ) ) & ( ~ r1_xxreal_0(S,R) => ( k1_funct_1(k6_scmpds_4(C,L,M),k2_scmpds_2(F,E)) = k1_nat_1(k3_xcmplx_0(2,P),3) & ! [T] : ( v7_ordinal1(T) => ( ( ( r1_xxreal_0(1,T) & ~ r1_xxreal_0(R,T) ) | ( ~ r1_xxreal_0(T,S) & r1_xxreal_0(T,J) ) ) => k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k2_xcmplx_0(I,T))) = k1_funct_1(L,k1_scmp_gcd(k2_xcmplx_0(I,T))) ) ) & ? [T] : ( v7_ordinal1(T) & r1_xxreal_0(R,T) & r1_xxreal_0(T,S) & k2_xcmplx_0(I,R) = k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(Q)) & k6_xcmplx_0(k2_xcmplx_0(I,T),1) = k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k1_nat_1(Q,1))) & k1_nat_1(k2_xcmplx_0(I,T),1) = k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k1_nat_1(Q,2))) & k2_xcmplx_0(I,S) = k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k1_nat_1(Q,3))) & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(R,U) => ( r1_xxreal_0(T,U) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k2_xcmplx_0(I,U))),k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k2_xcmplx_0(I,T)))) ) ) ) & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(U,S) => ( r1_xxreal_0(U,T) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k2_xcmplx_0(I,T))),k1_funct_1(k6_scmpds_4(C,L,M),k1_scmp_gcd(k2_xcmplx_0(I,U)))) ) ) ) ) ) ) & ( ( r1_scpisort(N,L,I) & r1_scpisort(O,k6_scmpds_4(C,L,M),I) & k3_finseq_1(N) = J & k3_finseq_1(O) = J ) => r2_classes1(N,O) ) ) ) ) ) ) ) ) ) ) ) ) ) => ( r2_scmpds_6(k2_scmpds_8(D,E,C),B,A) & r2_classes1(G,H) & r3_graph_2(H,1,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l11_seq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_membered(B) ) => ( ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => r1_xxreal_0(A,C) ) ) & ! [C] : ( v1_xreal_0(C) => ( ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => r1_xxreal_0(C,D) ) ) => r1_xxreal_0(C,A) ) ) ) => A = k3_seq_4(B) ) ) ) )).
fof(l11_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k6_xcmplx_0(k7_xcmplx_0(1,k1_nat_1(A,1)),k7_xcmplx_0(3,k2_nat_1(k1_nat_1(A,1),k1_nat_1(A,4)))) = k7_xcmplx_0(1,k1_nat_1(A,4)) ) )).
fof(l11_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k3_square_1(3)),k2_xcmplx_0(A,B)),k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k3_xcmplx_0(A,B)),k1_square_1(B)))) ) ) )).
fof(l11_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(k1_square_1(A),k1_square_1(B)) = 1 => ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) ) ) ) ) )).
fof(l11_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => r1_xxreal_0(2,k2_xcmplx_0(k23_sin_cos(A),k23_sin_cos(k4_xcmplx_0(A)))) ) )).
fof(l11_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ! [E] : ( ~ v1_xboole_0(E) => ~ ( r2_tarski(E,k3_setfam_1(C,D)) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ~ m1_eqrel_1(F,E) ) ) ) ) ) ) )).
fof(l11_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ~ ( r2_tarski(B,k1_tarski(k1_tarski(A))) & r2_tarski(C,k1_tarski(k1_tarski(A))) & ~ r1_setfam_1(B,C) & ~ r1_setfam_1(C,B) ) ) ) ) )).
fof(l11_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => r1_termord(A,B,C,C) ) ) ) )).
fof(l11_topgen_6,axiom,( v1_metrizts(k2_topgen_3) )).
fof(l11_topreal2,axiom,( k18_euclid(k19_euclid(1,1)) = 1 )).
fof(l11_toprealb,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_pre_topc(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(l11_uniform1,axiom,( u1_struct_0(k5_topmetr) = u1_struct_0(k2_topmetr(k5_numbers,1)) )).
fof(l11_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_vectsp11(k3_struct_0(B),A,B) & ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & C != k4_struct_0(B) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),k3_struct_0(B),C) = k3_vectsp_1(A,B,k1_group_1(A),C) ) ) ) ) )).
fof(l11_vectsp_1,axiom,( v1_xreal_0(1) )).
fof(l11_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) => r2_hidden(k4_tarski(C,D),k2_waybel_4(A)) ) ) ) )).
fof(l11_xcmplx_0,axiom,( m1_subset_1(k5_numbers,k1_numbers) )).
fof(l11_xreal_0,axiom,( r1_arytm_2(c1__xreal_0,c2__xreal_0) )).
fof(l11_xxreal_0,axiom,( ~ r2_hidden(k1_xxreal_0,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) )).
fof(l11_xxreal_3,axiom,( k1_xxreal_3(k1_xxreal_0,k1_xxreal_0) = k1_xxreal_0 )).
fof(l11_zfmodel2,axiom,( k2_zf_lang(k5_numbers) != k2_zf_lang(3) )).
fof(l11_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) => ( ~ v2_struct_0(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A))) & v13_algstr_0(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A))) & v8_vectsp_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A)),k11_gaussint) & v9_vectsp_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A)),k11_gaussint) & v10_vectsp_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A)),k11_gaussint) & v11_vectsp_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A)),k11_gaussint) & v2_rlvect_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A))) & v3_rlvect_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A))) & v4_rlvect_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A))) & l1_vectsp_1(g1_vectsp_1(k11_gaussint,k8_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A)),k2_zmodul04(A),k3_zmodul04(A),k4_zmodul04(A)),k11_gaussint) ) ) ) )).
fof(l120_clvect_1,axiom,( u1_struct_0(k3_clvect_1(o_0_5_clvect_1)) = k6_domain_1(u1_struct_0(o_0_5_clvect_1),k4_struct_0(o_0_5_clvect_1)) )).
fof(l120_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( r2_hidden(C,k4_finseq_2(A,B)) => ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) ) ) ) )).
fof(l120_fomodel0,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => r1_tarski(a_2_3_fomodel0(A,B),a_1_4_fomodel0(A)) ) ) )).
fof(l120_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k4_xcmplx_0(3))),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))))) )).
fof(l120_sin_cos,axiom,( k1_funct_1(k26_sin_cos,k5_numbers) = k5_numbers & ~ r1_xxreal_0(k1_funct_1(k26_sin_cos,1),1) )).
fof(l120_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k11_toprealb(k9_toprealb))) => ( A = k10_toprealb => r1_tmap_1(k11_toprealb(k9_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))),k14_toprealb,A) ) ) )).
fof(l121_clvect_1,axiom,( v1_funct_1(k8_funcop_1(k1_numbers,u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k10_subset_1(k5_numbers,k1_numbers))) & v1_funct_2(k8_funcop_1(k1_numbers,u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k10_subset_1(k5_numbers,k1_numbers)),u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k1_numbers) & m1_subset_1(k8_funcop_1(k1_numbers,u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k10_subset_1(k5_numbers,k1_numbers)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k1_numbers))) )).
fof(l121_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( k15_finseq_1(A) = k1_xboole_0 => A = k1_xboole_0 ) ) )).
fof(l121_jordan,axiom,( r1_tarski(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l121_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ~ ( k3_finseq_1(A) != k5_numbers & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( v1_xcmplx_0(C) => A != k7_finseq_1(B,k9_finseq_1(C)) ) ) ) ) )).
fof(l121_toprealb,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l122_clvect_1,axiom,( m1_subset_1(k4_struct_0(o_0_5_clvect_1),u1_struct_0(k3_clvect_1(o_0_5_clvect_1))) )).
fof(l122_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k4_xcmplx_0(3))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l122_toprealb,axiom,( v1_funct_1(k8_funcop_1(k1_numbers,k1_numbers,c39__toprealb)) & m1_subset_1(k8_funcop_1(k1_numbers,k1_numbers,c39__toprealb),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(l122_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) ) ) ) )).
fof(l123_clvect_1,axiom,( k1_funct_1(c2__clvect_1,k4_struct_0(o_0_5_clvect_1)) = k5_numbers )).
fof(l123_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))))) )).
fof(l123_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k1_square_1(A),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)),k1_square_1(D))) ) ) ) ) )).
fof(l123_toprealb,axiom,( v5_pre_topc(k14_toprealb,k11_toprealb(k9_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))) )).
fof(l124_card_3,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_finset_1(k1_relat_1(A)) => v1_finset_1(A) ) ) )).
fof(l124_clvect_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_clvect_1(o_0_5_clvect_1))) => ! [B] : ( v1_xcmplx_0(B) => k3_funct_2(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k1_numbers,c2__clvect_1,k1_clvect_1(k3_clvect_1(o_0_5_clvect_1),A,B)) = k3_xcmplx_0(k9_complex1(B),k3_funct_2(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k1_numbers,c2__clvect_1,A)) ) ) )).
fof(l124_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos)),A)) ) ) )).
fof(l124_jordan,axiom,( r1_tarski(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l124_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k1_square_1(C),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)),k1_square_1(D))) ) ) ) ) )).
fof(l124_toprealb,axiom,( ~ v1_xboole_0(k4_rcomp_1(k4_xcmplx_0(1),1)) & m1_subset_1(k4_rcomp_1(k4_xcmplx_0(1),1),k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(k3_rcomp_1(k5_numbers,k28_sin_cos)) & m1_subset_1(k3_rcomp_1(k5_numbers,k28_sin_cos),k1_zfmisc_1(k1_numbers)) )).
fof(l125_clvect_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_clvect_1(o_0_5_clvect_1))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_clvect_1(o_0_5_clvect_1))) => r1_xxreal_0(k3_funct_2(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k1_numbers,c2__clvect_1,k3_rlvect_1(k3_clvect_1(o_0_5_clvect_1),A,B)),k3_real_1(k3_funct_2(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k1_numbers,c2__clvect_1,A),k3_funct_2(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k1_numbers,c2__clvect_1,B))) ) ) )).
fof(l125_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k16_sin_cos))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k16_sin_cos)),A)) ) ) )).
fof(l125_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l125_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( v2_vectsp_7(k9_matrix13(B,A,A,k3_matrix_1(B,A)),B,k6_prvect_1(B,A)) & m1_subset_1(k9_matrix13(B,A,A,k3_matrix_1(B,A)),k1_zfmisc_1(u1_struct_0(k6_prvect_1(B,A)))) & k8_matrix13(B,k3_matrix_1(B,A)) = A ) ) ) )).
fof(l125_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k1_square_1(D),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)),k1_square_1(D))) ) ) ) ) )).
fof(l125_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c45__toprealb))) = k5_toprealb(c45__toprealb) )).
fof(l125_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k4_xxreal_3(A,k1_xxreal_3(B,B)) = k1_xxreal_3(k4_xxreal_3(A,B),k4_xxreal_3(A,B)) ) ) )).
fof(l126_clvect_1,axiom,( ~ v2_struct_0(g2_clvect_1(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k4_struct_0(k3_clvect_1(o_0_5_clvect_1)),u1_algstr_0(k3_clvect_1(o_0_5_clvect_1)),u1_clvect_1(k3_clvect_1(o_0_5_clvect_1)),c2__clvect_1)) & l2_clvect_1(g2_clvect_1(u1_struct_0(k3_clvect_1(o_0_5_clvect_1)),k4_struct_0(k3_clvect_1(o_0_5_clvect_1)),u1_algstr_0(k3_clvect_1(o_0_5_clvect_1)),u1_clvect_1(k3_clvect_1(o_0_5_clvect_1)),c2__clvect_1)) )).
fof(l126_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [C] : ( v11_fomodel4(C,A,B) => ! [D] : ( ( v15_fomodel1(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( k13_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),k41_fomodel4(A,B,C),D) = 1 <=> r2_tarski(D,C) ) ) ) ) ) )).
fof(l126_jordan,axiom,( v2_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3))) )).
fof(l126_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k25_modelc_2(A)) => k29_modelc_2(A,B,k5_numbers) = B ) ) )).
fof(l126_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k1_square_1(B),A) => r1_xxreal_0(B,k3_square_1(A)) ) ) ) )).
fof(l126_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))) = k5_toprealb(c46__toprealb) )).
fof(l126_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k4_xxreal_3(A,k1_xxreal_3(k5_numbers,B)) = k1_xxreal_3(k4_xxreal_3(A,k5_numbers),k4_xxreal_3(A,B)) ) ) )).
fof(l127_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v20_bcialg_1(A) <=> v13_bcialg_1(A) ) ) )).
fof(l127_clvect_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c3__clvect_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c3__clvect_1)) => ! [C] : ( v1_xcmplx_0(C) => ( ( k2_normsp_0(c3__clvect_1,A) = k5_numbers => A = k4_struct_0(c3__clvect_1) ) & ( A = k4_struct_0(c3__clvect_1) => k2_normsp_0(c3__clvect_1,A) = k5_numbers ) & k2_normsp_0(c3__clvect_1,k1_clvect_1(c3__clvect_1,A,C)) = k3_xcmplx_0(k9_complex1(C),k2_normsp_0(c3__clvect_1,A)) & r1_xxreal_0(k2_normsp_0(c3__clvect_1,k1_algstr_0(c3__clvect_1,A,B)),k2_xcmplx_0(k2_normsp_0(c3__clvect_1,A),k2_normsp_0(c3__clvect_1,B))) ) ) ) ) )).
fof(l127_jordan,axiom,( v2_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(1,3))) )).
fof(l127_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k25_modelc_2(C)) => k29_modelc_2(C,k29_modelc_2(C,D,A),B) = k29_modelc_2(C,D,k2_xcmplx_0(B,A)) ) ) ) ) )).
fof(l127_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v3_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l127_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ( ( r1_xxreal_0(G,A) & r1_xxreal_0(H,B) & r1_xxreal_0(I,C) & r1_xxreal_0(J,D) & r1_xxreal_0(K,E) & r1_xxreal_0(L,F) ) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(G,H),I),J),K),L),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,B),C),D),E),F)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l127_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb))))) = k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb))) )).
fof(l127_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k4_xxreal_3(k5_numbers,k1_xxreal_3(A,B)) = k1_xxreal_3(k4_xxreal_3(k5_numbers,A),k4_xxreal_3(k5_numbers,B)) ) ) )).
fof(l127_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => r1_tarski(u1_struct_0(k7_zmodul01(A,B,C)),u1_struct_0(B)) ) ) ) )).
fof(l128_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v20_bcialg_1(A) => v17_bcialg_1(A) ) ) )).
fof(l128_jordan,axiom,( v2_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),3))) )).
fof(l128_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l128_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k1_square_1(B),k1_square_1(A)) ) => r1_xxreal_0(B,A) ) ) ) )).
fof(l128_toprealb,axiom,( k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1)) = u1_struct_0(k2_topalg_2) )).
fof(l128_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_xxreal_0(B) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => k5_numbers = k3_xcmplx_0(B,A) ) ) )).
fof(l128_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => k4_xxreal_3(A,k1_xxreal_3(B,C)) = k1_xxreal_3(k4_xxreal_3(A,B),k4_xxreal_3(A,C)) ) ) ) ) )).
fof(l129_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( C != k1_xboole_0 & v5_relat_1(C,A) & r1_tarski(A,k3_finseq_2(B)) & v1_setfam_1(A) & k1_funct_1(k9_fomodel0(B),C) = k1_xboole_0 ) ) ) )).
fof(l129_jordan,axiom,( v2_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)))) )).
fof(l129_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B,D) = k30_modelc_2(A,D) ) & ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(C,D) = k30_modelc_2(A,D) ) ) => r2_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(l129_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v7_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l129_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => k1_square_1(k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(D)),k1_square_1(C))),k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(E),k1_square_1(F)),k1_square_1(G)),k1_square_1(H))))) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(D)),k1_square_1(C)),k1_square_1(E)),k1_square_1(F)),k1_square_1(G)),k1_square_1(H)),k3_xcmplx_0(2,k3_square_1(k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(D)),k1_square_1(C)),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(E),k1_square_1(F)),k1_square_1(G)),k1_square_1(H)))))) ) ) ) ) ) ) ) ) )).
fof(l129_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k1_rcomp_1(k5_numbers,1)) => r1_xxreal_0(k5_numbers,k1_funct_1(k16_sin_cos,A)) ) ) )).
fof(l129_toprealb,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1),k5_toprealb(c46__toprealb))) = k5_toprealb(c46__toprealb) )).
fof(l129_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( v1_xreal_0(A) => ( v1_xreal_0(B) | k4_xxreal_3(A,k1_xxreal_3(B,C)) = k1_xxreal_3(k4_xxreal_3(A,B),k4_xxreal_3(A,C)) ) ) ) ) ) )).
fof(l12_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_diraf(A,B,C,E,F) & r2_diraf(A,B,D,G,H) & r2_diraf(A,B,E,E,C) & r2_diraf(A,B,G,G,D) & r2_diraf(A,B,F,F,C) & r2_diraf(A,B,H,H,D) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_diraf(A,C,D,I,J) & r2_diraf(A,C,I,I,D) & r2_diraf(A,C,J,J,D) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l12_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_3)) => k1_algstr_3(k3_algstr_3,k4_struct_0(k3_algstr_3),A,B) = B ) ) )).
fof(l12_ami_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) & v5_memstr_0(B,k5_card_1(2),k1_ami_3,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_ami_3)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_tarski(k1_ami_4,C) => ( r1_xxreal_0(k1_funct_1(B,k10_ami_3(k5_numbers)),k5_numbers) | r1_xxreal_0(k1_funct_1(B,k10_ami_3(1)),k5_numbers) | r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A)),k10_ami_3(1)),k5_numbers) | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k2_nat_1(4,k1_nat_1(A,1))),k10_ami_3(k5_numbers)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A)),k10_ami_3(1)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k2_nat_1(4,k1_nat_1(A,1))),k10_ami_3(1)) = k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A)),k10_ami_3(k5_numbers)),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,C,B,k3_xcmplx_0(4,A)),k10_ami_3(1))) ) ) ) ) ) ) )).
fof(l12_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,C),D),k3_rlvect_1(A,k3_rlvect_1(A,E,F),G)) = k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,F)),k3_rlvect_1(A,D,G)) ) ) ) ) ) ) ) )).
fof(l12_arithm,axiom,( k5_xcmplx_0(1) = 1 )).
fof(l12_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r2_tarski(A,k6_asympt_0(B)) & r2_tarski(B,k6_asympt_0(A)) ) <=> k6_asympt_0(A) = k6_asympt_0(B) ) ) ) )).
fof(l12_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( r2_tarski(B,k2_c0sp2(A)) => r2_tarski(B,k6_c0sp1(u1_struct_0(A))) ) ) )).
fof(l12_card_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( k10_xtuple_0(A) = k10_xtuple_0(B) & v2_ordinal2(A) & v2_ordinal2(B) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => ( r2_tarski(C,k9_xtuple_0(B)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) ) ) )).
fof(l12_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(2))) => ( ( E = k10_finseq_1(A,B) & F = k10_finseq_1(C,D) ) => ( k3_rlvect_1(k4_real_ns1(2),E,F) = k10_finseq_1(k2_xcmplx_0(A,C),k2_xcmplx_0(B,D)) & k5_algstr_0(k4_real_ns1(2),E,F) = k10_finseq_1(k6_xcmplx_0(A,C),k6_xcmplx_0(B,D)) ) ) ) ) ) ) ) ) )).
fof(l12_classes1,axiom,( ! [A] : ( k2_classes1(A,k5_ordinal1) = k1_tarski(A) & ! [B] : ( v3_ordinal1(B) => k2_classes1(A,k1_ordinal1(B)) = k2_xboole_0(k2_xboole_0(a_2_3_classes1(A,B),a_2_4_classes1(A,B)),k8_subset_1(k1_zfmisc_1(k2_classes1(A,B)),k9_setfam_1(k2_classes1(A,B)),k1_classes1(A))) ) & ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) ) => ( ( v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k2_classes1(A,D) ) ) ) => ( B = k5_ordinal1 | k2_classes1(A,B) = k3_xboole_0(k3_tarski(k10_xtuple_0(C)),k1_classes1(A)) ) ) ) ) ) )).
fof(l12_complex1,axiom,( k5_numbers = k5_arytm_0(c1__complex1,c1__complex1) )).
fof(l12_complex2,axiom,( k1_comptrig(k5_numbers) = k5_numbers )).
fof(l12_comptrig,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)) )).
fof(l12_comseq_2,axiom,( v1_funct_1(k8_funcop_1(k2_numbers,k4_ordinal1,k5_complex1)) & v1_funct_2(k8_funcop_1(k2_numbers,k4_ordinal1,k5_complex1),k4_ordinal1,k2_numbers) & m1_subset_1(k8_funcop_1(k2_numbers,k4_ordinal1,k5_complex1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) )).
fof(l12_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => r1_tarski(k9_subset_1(u1_struct_0(B),k1_tops_1(A,C),k2_struct_0(B)),k1_tops_1(B,D)) ) ) ) ) ) )).
fof(l12_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_convex1(A,k1_convex1(A,B,D),C) = k1_convex1(A,B,k3_xcmplx_0(C,D)) ) ) ) ) )).
fof(l12_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => k3_rusub_4(A,k1_rlsub_2(A,B,C)) = k7_rusub_4(A,k3_rusub_4(A,B),k3_rusub_4(A,C)) ) ) ) )).
fof(l12_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) & k4_extreal1(A) = k2_supinf_1 ) ) )).
fof(l12_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v2_cqc_the1(B,A) & v2_cqc_the1(C,A) ) => v2_cqc_the1(k7_cqc_lang(A,B,C),A) ) ) ) ) )).
fof(l12_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => k1_clvect_1(k16_csspace,B,A) = k25_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B),A) ) ) )).
fof(l12_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_comseq_2(k55_valued_1(k4_ordinal1,k2_numbers,A)) => v1_comseq_2(A) ) ) )).
fof(l12_dtconstr,axiom,( u1_struct_0(k5_dtconstr) = k7_domain_1(k4_ordinal1,k5_numbers,1) )).
fof(l12_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k7_euclid(A,B,k7_euclid(A,C,D)) = k7_euclid(A,k7_euclid(A,B,C),D) ) ) ) ) )).
fof(l12_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => ( ( B = k5_numbers & k1_comptrig(A) = k5_numbers ) => k3_complex2(A,B) = k5_numbers ) ) ) )).
fof(l12_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => k8_euclid(3,k7_euclid(3,A,B),k7_euclid(3,C,D)) = k7_euclid(3,k8_euclid(3,A,C),k8_euclid(3,B,D)) ) ) ) ) )).
fof(l12_fib_fusc,axiom,( k10_ami_3(2) != k10_ami_3(3) )).
fof(l12_fib_num,axiom,( ! [A] : ( v7_ordinal1(A) => k3_int_2(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) = 1 ) )).
fof(l12_fib_num4,axiom,( k2_power(k2_fib_num,3) = k6_xcmplx_0(2,k3_square_1(5)) )).
fof(l12_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [F] : ( ( v3_card_1(F,k5_numbers) & m2_finseq_1(F,A) ) => r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,E,F,D),k6_finseq_1(C)) ) ) ) ) ) ) )).
fof(l12_fomodel0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : k4_finseq_2(A,B) = k1_funct_2(k2_finseq_1(A),B) ) )).
fof(l12_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k35_fomodel1(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),B))) ) => ( m2_funct_2(k1_fomodel0(k3_relat_1(k22_fomodel1(A),C),k6_fomodel2(k36_fomodel1(A),D)),k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B)) & r1_tarski(k35_fomodel1(A),k1_relset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k3_relat_1(k22_fomodel1(A),C))) ) ) ) ) ) )).
fof(l12_fomodel3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k2_finseq_1(A),B,k9_funct_2(k2_finseq_1(A),B)) => ! [D] : ( m2_funct_2(D,k2_finseq_1(A),B,k9_funct_2(k2_finseq_1(A),B)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( r2_tarski(k1_domain_1(k9_funct_2(k2_finseq_1(A),B),k9_funct_2(k2_finseq_1(A),B),C,D),k9_fomodel3(B,E,A)) <=> ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) => r2_tarski(k1_domain_1(B,B,k3_funct_2(k2_finseq_1(A),B,C,F),k3_funct_2(k2_finseq_1(A),B,D,F)),E) ) ) ) ) ) ) ) )).
fof(l12_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_funct_2(B,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) => ( m2_funct_2(k3_fomodel2(k9_setfam_1(k1_fomodel4(A))),k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) & ( r2_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),B,k3_fomodel2(k9_setfam_1(k1_fomodel4(A)))) => v6_fomodel4(B,A) ) ) ) ) )).
fof(l12_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k1_altcat_1(A,E,F) != k1_xboole_0 => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,E,F)) => k5_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,F),k3_functor0(A,B,C,F),k6_functor0(A,B,C,E,F,G),k2_functor2(A,B,C,C,k1_functor2(A,B,C),F)) = k5_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,E),k3_functor0(A,B,C,F),k2_functor2(A,B,C,C,k1_functor2(A,B,C),E),k6_functor0(A,B,C,E,F,G)) ) ) ) ) ) ) ) ) )).
fof(l12_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_003(A) ) => r1_tarski(k9_xtuple_0(k6_glib_003(A)),k7_glib_000(A)) ) )).
fof(l12_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_1_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l12_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( B = C => ( D = B | ( ~ ( ~ r1_aff_1(A,D,B,E) & r1_aff_1(A,D,E,F) & r2_analoaf(A,B,E,C,F) ) & ~ ( r1_aff_1(A,D,B,E) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,D,B,G) & r1_aff_1(A,D,G,H) & r2_analoaf(A,B,G,C,H) & r2_analoaf(A,G,E,H,F) & r1_aff_1(A,D,B,F) ) ) ) ) | E = F ) ) ) ) ) ) ) ) )).
fof(l12_int_1,axiom,( ! [A] : ( v1_int_1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(1,A) ) ) )).
fof(l12_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),A) ) ) )).
fof(l12_int_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ( ( k3_finseq_1(B) = A & v1_int_7(C) & r1_int_1(D,k8_nat_3(k8_newton,C)) & k8_nat_3(k8_newton,C) = k2_wsierp_1(B) & B = k3_relat_1(k19_finseq_1(k22_pre_poly(k8_newton,C)),C) ) => ( k8_nat_3(k8_newton,C) = 1 | r2_tarski(D,k22_pre_poly(k8_newton,C)) ) ) ) ) ) ) )).
fof(l12_integr12,axiom,( k3_limfunc1(k5_numbers) = a_0_0_integr12 )).
fof(l12_integr19,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,B)) => ( v1_funct_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) & v1_funct_2(k2_partfun1(k1_numbers,k1_numbers,B,A),A,k1_numbers) & m1_subset_1(k2_partfun1(k1_numbers,k1_numbers,B,A),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) ) )).
fof(l12_integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ~ ( k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),1) & k17_finseq_1(u1_struct_0(A),k3_finseq_1(C),B) = C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( D = k7_partfun1(u1_struct_0(A),B,k3_finseq_1(B)) & k4_rlvect_1(A,B) = k3_rlvect_1(A,k4_rlvect_1(A,C),D) ) ) ) ) ) ) )).
fof(l12_jgraph_5,axiom,( r2_tarski(k5_numbers,k1_rcomp_1(k5_numbers,1)) )).
fof(l12_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_2_jordan1(A),k1_zfmisc_1(k1_euclid(2))) ) )).
fof(l12_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( r2_tarski(A,B) & v9_rltopsp1(B,k15_euclid(2)) ) => ( r1_xxreal_0(k1_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,B)),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),k2_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,B))) ) ) ) ) )).
fof(l12_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k6_xcmplx_0(k3_xcmplx_0(2,A),1) = k7_nat_d(k3_xcmplx_0(2,A),1) ) ) )).
fof(l12_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( D = k5_euclid(A) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( E = k8_metric_1(k14_euclid(A),D,C) => k1_convex1(k15_euclid(A),E,B) = k8_metric_1(k14_euclid(A),D,k3_xcmplx_0(B,C)) ) ) ) ) ) ) ) ) )).
fof(l12_jordan5a,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & v5_pre_topc(A,k3_topmetr,k3_topmetr) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( A = B & ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k1_rcomp_1(k5_numbers,1))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k1_rcomp_1(k5_numbers,1))) ) ) ) )).
fof(l12_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_lattice6(A) & v2_lattice6(A) ) ) )).
fof(l12_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,C,k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),B),B)),k4_cqc_the1(A)) ) ) ) )).
fof(l12_matrixj1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(A,k4_finseq_1(B)) => k1_wsierp_1(k17_finseq_1(k4_ordinal1,A,B)) = k2_xcmplx_0(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(A,1),B)),k1_funct_1(B,A)) ) ) ) )).
fof(l12_mesfun10,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l12_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v5_modelc_2(A) & ~ v4_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) => ( m1_subset_1(k1_tarski(k11_modelc_2(A)),k1_zfmisc_1(k13_modelc_2(A))) & m1_subset_1(k1_tarski(k12_modelc_2(A)),k1_zfmisc_1(k13_modelc_2(A))) ) ) ) )).
fof(l12_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,D,B)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( ( F = G & r2_tarski(F,k3_msualg_1(A,D,B)) & r2_tarski(H,k3_msualg_1(A,D,C)) ) => ( ( H = k5_msualg_3(A,B,C,D,E,F) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k9_xtuple_0(G)) => k1_funct_1(H,I) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),E,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,D),I)),k1_funct_1(G,I)) ) ) ) & ( ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k9_xtuple_0(G)) => k1_funct_1(H,I) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),E,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,D),I)),k1_funct_1(G,I)) ) ) => H = k5_msualg_3(A,B,C,D,E,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l12_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ r1_xboole_0(B,k2_pre_topc(A,C)) & r1_xboole_0(B,C) ) ) ) ) )).
fof(l12_neckla_2,axiom,( u1_struct_0(k4_necklace(4)) = k2_enumset1(k5_numbers,1,2,3) )).
fof(l12_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(k1_newton(A,C),k1_newton(B,C)) & r1_xxreal_0(k1_newton(A,k2_xcmplx_0(C,1)),k1_newton(B,k2_xcmplx_0(C,1))) ) ) ) ) )).
fof(l12_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( k8_nat_1(k4_numbers,C,k5_numbers) = A & k8_nat_1(k4_numbers,D,k5_numbers) = B & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_numbers,C,k1_nat_1(E,1)) = k8_nat_1(k4_numbers,D,E) & k8_nat_1(k4_numbers,D,k1_nat_1(E,1)) = k5_int_1(k8_nat_1(k4_numbers,C,E),k8_nat_1(k4_numbers,D,E)) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_numbers,D,E) != k5_numbers => k3_int_2(k8_nat_1(k4_numbers,C,E),k8_nat_1(k4_numbers,D,E)) = k3_int_2(k8_nat_1(k4_numbers,C,k1_nat_1(E,1)),k8_nat_1(k4_numbers,D,k1_nat_1(E,1))) ) ) ) ) ) ) ) )).
fof(l12_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,B,C) = k4_algstr_0(A,k1_algstr_0(A,k4_algstr_0(A,C),k4_algstr_0(A,B))) ) ) ) )).
fof(l12_pdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( D = k10_finseq_1(A,B) & r3_pdiff_1(2,1,E,D) ) => ( C = k1_fdiff_1(k1_pdiff_2(2,1,E,D),A) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & D = k10_finseq_1(F,G) & ? [H] : ( m1_rcomp_1(H,F) & r1_tarski(H,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,E,D))) & ? [I] : ( v1_funct_1(I) & v3_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [J] : ( v1_funct_1(J) & v2_fdiff_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(I,1) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,H) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,1,E,D),K),k1_funct_1(k1_pdiff_2(2,1,E,D),F)) = k2_xcmplx_0(k1_funct_1(I,k6_xcmplx_0(K,F)),k1_funct_1(J,k6_xcmplx_0(K,F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l12_pdiff_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ! [D] : ( v7_ordinal1(D) => ~ ( v3_nfcont_1(C,k4_real_ns1(A)) & r2_tarski(B,C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,A) & ! [E] : ( m1_nfcont_1(E,k4_real_ns1(1),k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(D,A),B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(1))) & r2_tarski(F,E) & ~ r2_tarski(k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,B),F),C) ) ) ) ) ) ) ) )).
fof(l12_petri_3,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) ) => ( v2_petri_3(B,A) => ! [C] : ( m1_petri_3(C,A,B) => ! [D] : ( m2_petri_3(D,A,B,C) => ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ~ ( E != F & E != G & ? [H] : ? [I] : ? [J] : ( r2_hidden(k4_tarski(H,I),k1_funct_1(D,k1_domain_1(A,A,E,F))) & r2_hidden(k4_tarski(H,J),k1_funct_1(D,k1_domain_1(A,A,E,G))) ) & F != G ) ) ) ) => ( v1_relat_1(k3_tarski(k10_xtuple_0(D))) & v1_funct_1(k3_tarski(k10_xtuple_0(D))) & ! [E] : ~ ( r2_hidden(E,k3_tarski(k10_xtuple_0(D))) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k8_petri_2(k1_petri_3(A,B,F)),u1_struct_0(k1_petri_3(A,B,G))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k8_petri_2(k1_petri_3(A,B,F)),u1_struct_0(k1_petri_3(A,B,G))))) ) => ~ ( F != G & ! [J] : ( m1_subset_1(J,u4_struct_0(k1_petri_3(A,B,F))) => ( v2_petri_2(J,k1_petri_3(A,B,F)) => ( v1_funct_1(k1_funct_1(H,J)) & v1_funct_2(k1_funct_1(H,J),k2_petri_2(u1_petri_2(k1_petri_3(A,B,F)),k8_petri(k1_petri_3(A,B,F),k6_domain_1(u4_struct_0(k1_petri_3(A,B,F)),J))),k2_petri_2(u1_petri_2(k1_petri_3(A,B,F)),k1_relset_2(k8_petri_2(k1_petri_3(A,B,F)),u1_struct_0(k1_petri_3(A,B,G)),I,J))) & m1_subset_1(k1_funct_1(H,J),k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(u1_petri_2(k1_petri_3(A,B,F)),k8_petri(k1_petri_3(A,B,F),k6_domain_1(u4_struct_0(k1_petri_3(A,B,F)),J))),k2_petri_2(u1_petri_2(k1_petri_3(A,B,F)),k1_relset_2(k8_petri_2(k1_petri_3(A,B,F)),u1_struct_0(k1_petri_3(A,B,G)),I,J))))) ) ) ) & r2_tarski(H,k1_funct_2(k8_petri_2(k1_petri_3(A,B,F)),k3_tarski(a_5_1_petri_3(A,B,F,G,I)))) & H = k1_funct_1(D,k1_domain_1(A,A,F,G)) & I = k1_funct_1(C,k1_domain_1(A,A,F,G)) & r2_hidden(E,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l12_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k12_polynom1(A,B))) => ( C = D => k5_vfunct_1(k15_pre_poly(A),B,C) = k4_algstr_0(k12_polynom1(A,B),D) ) ) ) ) ) )).
fof(l12_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(B) => r1_yellow_0(A,B) ) ) ) )).
fof(l12_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_projdes1(A,B,C,D,E) & r1_projdes1(A,B,C,D,F) ) => ( r1_collsp(A,B,C,D) | r1_projdes1(A,B,C,E,F) ) ) ) ) ) ) ) ) )).
fof(l12_qmax_1,axiom,( k9_xtuple_0(k6_domain_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))),k1_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),c3__qmax_1))) = k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers)) )).
fof(l12_quaterni,axiom,( k1_xcmplx_0 = k5_arytm_0(c2__quaterni,c1__quaterni) )).
fof(l12_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k11_radix_1(k6_xcmplx_0(k1_radix_1(A),1)) = 1 ) ) )).
fof(l12_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers))) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(F,G) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,G,E) ) ) ) ) ) ) ) )).
fof(l12_realset2,axiom,( k4_binop_1(2,k1_realset2,k10_subset_1(k5_numbers,2),k10_subset_1(k5_numbers,2)) = k10_subset_1(k5_numbers,2) )).
fof(l12_rfunct_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( r1_rfunct_4(B,C) => r1_rfunct_4(k15_valued_1(k1_numbers,k1_numbers,B,A),C) ) ) ) )).
fof(l12_ringcat1,axiom,( ! [A] : ( ( v3_ringcat1(A) & l1_ringcat1(A) ) => v1_ringcat1(u3_ringcat1(A),u1_ringcat1(A),u2_ringcat1(A)) ) )).
fof(l12_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_algstr_0(A,B,C) = k4_struct_0(A) => k1_algstr_0(A,C,B) = k4_struct_0(A) ) ) ) ) )).
fof(l12_robbins4,axiom,( r1_xboole_0(k6_subset_1(3,2),1) )).
fof(l12_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => ( m1_rusub_1(B,C) => m1_rusub_1(B,k1_rusub_2(A,C,D)) ) ) ) ) ) )).
fof(l12_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k2_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),1)) = k11_scmfsa_2(k1_nat_1(k4_card_1(k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),1)) ) ) )).
fof(l12_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers => ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1))),B,A),k1_scmp_gcd(2)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(2))) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1))),B,A),k1_scmp_gcd(3)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) ) ) ) ) )).
fof(l12_scpisort,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k4_card_1(k10_compos_1(k1_scmpds_2,k2_scmpds_7(A,B,C,D))) = k1_nat_1(k4_card_1(D),4) ) ) ) ) )).
fof(l12_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( k1_funct_1(B,D) = F & 1 = k1_funct_1(B,k2_scmpds_2(F,E)) & I = k1_nat_1(k2_xcmplx_0(G,H),1) & k1_nat_1(G,1) = k1_funct_1(B,k1_scmp_gcd(I)) & k2_xcmplx_0(G,H) = k1_funct_1(B,k1_scmp_gcd(k1_nat_1(I,1))) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( k1_funct_1(J,D) = F & k1_nat_1(k3_xcmplx_0(2,N),1) = k1_funct_1(J,k2_scmpds_2(F,E)) & O = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(G,H),k3_xcmplx_0(2,N)),1) & k2_xcmplx_0(G,P) = k1_funct_1(J,k1_scmp_gcd(O)) & k2_xcmplx_0(G,Q) = k1_funct_1(J,k1_scmp_gcd(k1_nat_1(O,1))) ) => ( ( ~ ( r1_xxreal_0(1,P) & r1_xxreal_0(Q,H) ) & ~ r1_xxreal_0(Q,P) ) | ( r1_scmpds_6(C,J,K) & r2_scmpds_6(C,J,K) & k1_funct_1(k6_scmpds_4(C,J,K),D) = k1_funct_1(J,D) & ! [R] : ( v7_ordinal1(R) => ( r1_xxreal_0(1,R) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,N),1),R) | k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(G,H),R))) = k1_funct_1(J,k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(G,H),R))) ) ) ) & ( r1_xxreal_0(Q,P) => ( k1_funct_1(k6_scmpds_4(C,J,K),k2_scmpds_2(F,E)) = k6_xcmplx_0(k3_xcmplx_0(2,N),1) & ! [R] : ( v7_ordinal1(R) => ( ( r1_xxreal_0(1,R) & r1_xxreal_0(R,H) ) => k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R))) = k1_funct_1(J,k1_scmp_gcd(k2_xcmplx_0(G,R))) ) ) ) ) & ( ~ r1_xxreal_0(Q,P) => ( k1_funct_1(k6_scmpds_4(C,J,K),k2_scmpds_2(F,E)) = k1_nat_1(k3_xcmplx_0(2,N),3) & ! [R] : ( v7_ordinal1(R) => ( ( ( r1_xxreal_0(1,R) & ~ r1_xxreal_0(P,R) ) | ( ~ r1_xxreal_0(R,Q) & r1_xxreal_0(R,H) ) ) => k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R))) = k1_funct_1(J,k1_scmp_gcd(k2_xcmplx_0(G,R))) ) ) & ? [R] : ( v7_ordinal1(R) & r1_xxreal_0(P,R) & r1_xxreal_0(R,Q) & k2_xcmplx_0(G,P) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(O)) & k6_xcmplx_0(k2_xcmplx_0(G,R),1) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k1_nat_1(O,1))) & k1_nat_1(k2_xcmplx_0(G,R),1) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k1_nat_1(O,2))) & k2_xcmplx_0(G,Q) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k1_nat_1(O,3))) & ! [S] : ( v7_ordinal1(S) => ( r1_xxreal_0(P,S) => ( r1_xxreal_0(R,S) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,S))),k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R)))) ) ) ) & ! [S] : ( v7_ordinal1(S) => ( r1_xxreal_0(S,Q) => ( r1_xxreal_0(S,R) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R))),k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,S)))) ) ) ) ) ) ) & ( ( r1_scpisort(L,J,G) & r1_scpisort(M,k6_scmpds_4(C,J,K),G) & k3_finseq_1(L) = H & k3_finseq_1(M) = H ) => r2_classes1(L,M) ) ) ) ) ) ) ) ) ) ) ) ) ) => r2_scmpds_6(k2_scmpds_8(D,E,C),B,A) ) ) ) ) ) ) ) ) ) ) )).
fof(l12_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_membered(A) ) => ! [B] : ( v1_xreal_0(B) => ( ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(C,B) ) ) & ! [C] : ( v1_xreal_0(C) => ( ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => r1_xxreal_0(D,C) ) ) => r1_xxreal_0(B,C) ) ) ) => B = k2_seq_4(A) ) ) ) )).
fof(l12_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k1_nat_1(k2_xcmplx_0(k1_newton(A,2),k3_xcmplx_0(3,A)),2) = k2_nat_1(k1_nat_1(A,1),k1_nat_1(A,2)) ) )).
fof(l12_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => r1_xxreal_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k3_xcmplx_0(A,B)),k1_square_1(B)),3)),k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),2))) ) ) )).
fof(l12_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => m1_subset_1(k7_relset_1(A,B,C,D),k5_finsub_1(B)) ) ) ) ) )).
fof(l12_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_binop_1(B,A) & v2_binop_1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k4_binop_1(A,B,k4_binop_1(A,B,C,D),k4_binop_1(A,B,E,F)) = k4_binop_1(A,B,k4_binop_1(A,B,C,E),k4_binop_1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(l12_sin_cos6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,1),k7_xcmplx_0(k28_sin_cos,2)) )).
fof(l12_srings_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => a_4_6_srings_2(A,B,C,D) = a_4_7_srings_2(A,B,C,D) ) ) ) ) )).
fof(l12_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( ( r1_termord(A,B,C,D) & r1_termord(A,B,D,C) ) => r6_pboole(A,C,D) ) ) ) ) ) )).
fof(l12_topreal1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v8_pre_topc(A) <=> v8_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) ) ) )).
fof(l12_topreal2,axiom,( ~ r2_tarski(k19_euclid(k5_numbers,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) )).
fof(l12_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B != C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ ( ~ r1_aff_1(A,B,C,D) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) & ~ ( r1_aff_1(A,B,C,D) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,F) & r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,F,C,G) & r2_analoaf(A,F,G,D,E) & r2_analoaf(A,F,D,G,E) ) ) ) ) ) ) ) ) ) ) )).
fof(l12_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ~ ( v3_waybel_3(A) & ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_8(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ~ ( v2_funct_2(C,u1_struct_0(A)) & v17_waybel_0(C,B,A) & v22_waybel_0(C,B,A) ) ) ) ) ) )).
fof(l12_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,A) ) => r1_ordinal1(k2_waybel23(B),k2_waybel23(C)) ) ) ) )).
fof(l12_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => r1_tarski(u1_pre_topc(k12_yellow_6(A,k3_waybel28(A))),u1_pre_topc(k12_yellow_6(B,k3_waybel28(B)))) ) ) ) )).
fof(l12_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C)) & v4_orders_2(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C)) & v7_waybel_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C)) & l1_waybel_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C),A) ) ) ) ) )).
fof(l12_xcmplx_0,axiom,( k5_numbers = k5_arytm_0(c1__xcmplx_0,c1__xcmplx_0) )).
fof(l12_xreal_0,axiom,( r1_xxreal_0(k5_numbers,1) )).
fof(l12_xxreal_0,axiom,( ~ r2_hidden(k2_xxreal_0,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) )).
fof(l12_xxreal_3,axiom,( k1_xxreal_3(k2_xxreal_0,k2_xxreal_0) = k2_xxreal_0 )).
fof(l12_zfmodel1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_relset_1(k4_ordinal1,k4_ordinal1,k23_zf_lang(k7_zf_lang(A,B)),B) & k22_zf_lang(k7_zf_lang(A,B)) = A ) ) ) )).
fof(l12_zfmodel2,axiom,( k2_zf_lang(k5_numbers) != k2_zf_lang(4) )).
fof(l130_jordan,axiom,( v2_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,3))) )).
fof(l130_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v11_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l130_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => k1_square_1(k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k2_xcmplx_0(A,E)),k1_square_1(k2_xcmplx_0(B,F))),k1_square_1(k2_xcmplx_0(C,G))),k1_square_1(k2_xcmplx_0(D,H))))) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k2_xcmplx_0(A,E)),k1_square_1(k2_xcmplx_0(B,F))),k1_square_1(k2_xcmplx_0(C,G))),k1_square_1(k2_xcmplx_0(D,H))) ) ) ) ) ) ) ) ) )).
fof(l130_toprealb,axiom,( r1_tarski(k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1),k5_toprealb(c46__toprealb))),k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb))) )).
fof(l131_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v13_bcialg_1(A) => v16_bcialg_1(A) ) ) )).
fof(l131_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ~ v10_fomodel4(A,B,C) <=> ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ~ v10_fomodel4(D,B,C) ) ) ) ) )).
fof(l131_jordan,axiom,( v2_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,k4_xcmplx_0(3)))) )).
fof(l131_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => k51_modelc_1(A,B,C,D) = a_4_1_modelc_1(A,B,C,D) ) ) ) ) )).
fof(l131_toprealb,axiom,( v1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1),k5_toprealb(c46__toprealb))) & v1_funct_2(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1),k5_toprealb(c46__toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))) & m1_subset_1(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1),k5_toprealb(c46__toprealb)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))))) )).
fof(l132_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v19_bcialg_1(A) & l2_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v16_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(l132_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,E),k9_bvfunc_1(A,C,F)),k9_bvfunc_1(A,D,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,E,F))),k1_bvfunc_1(A,k2_bvfunc_1(A,E,G))),k1_bvfunc_1(A,k2_bvfunc_1(A,F,G))),k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,E),k9_bvfunc_1(A,C,F)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,G,E))),k1_bvfunc_1(A,k2_bvfunc_1(A,G,F)))),k12_bvfunc_1(A)) ) ) ) ) ) ) ) )).
fof(l132_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( r2_tarski(k24_fomodel4(B),C) & v9_fomodel2(A,B) ) => ( v10_fomodel4(A,B,C) | ( v6_fomodel2(A,B) & v11_fomodel4(A,B,C) ) ) ) ) ) )).
fof(l132_jordan,axiom,( v1_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3)))) )).
fof(l132_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( a_2_0_modelc_1(A,B) = a_2_0_modelc_1(A,C) => r2_funct_2(A,k5_margrel1,B,C) ) ) ) ) )).
fof(l132_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v8_o_ring_1(B,A) & v8_o_ring_1(C,A) ) => v8_o_ring_1(k8_finseq_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(l132_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => m2_finseq_1(A,k2_numbers) ) )).
fof(l132_toprealb,axiom,( k6_toprealb(k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1)) = k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1) )).
fof(l133_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,E),k9_bvfunc_1(A,C,F)),k9_bvfunc_1(A,D,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,E,F))),k1_bvfunc_1(A,k2_bvfunc_1(A,E,G))),k1_bvfunc_1(A,k2_bvfunc_1(A,F,G))),k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,E),k9_bvfunc_1(A,D,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,F,E))),k1_bvfunc_1(A,k2_bvfunc_1(A,F,G)))),k12_bvfunc_1(A)) ) ) ) ) ) ) ) )).
fof(l133_fomodel4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ~ ( v15_fomodel4(D,C) & v10_fomodel2(B,A,C,E) & v10_fomodel4(B,C,D) ) ) ) ) ) )).
fof(l133_jordan,axiom,( v1_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3)))) )).
fof(l133_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,C))) => ( r2_funct_2(A,k5_margrel1,k31_modelc_1(A,D),k31_modelc_1(A,E)) => D = E ) ) ) ) ) ) )).
fof(l133_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B,D) = k33_modelc_2(A,D) ) & ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(C,D) = k33_modelc_2(A,D) ) ) => r2_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(l133_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l6_algstr_0(C) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ( ( v8_o_ring_1(D,C) & r1_xxreal_0(A,k3_finseq_1(D)) & r1_xxreal_0(B,k3_finseq_1(D)) ) => ( A = k5_numbers | B = k5_numbers | v8_o_ring_1(k8_finseq_1(u1_struct_0(C),D,k12_finseq_1(u1_struct_0(C),k6_algstr_0(C,k7_partfun1(u1_struct_0(C),D,A),k7_partfun1(u1_struct_0(C),D,B)))),C) ) ) ) ) ) ) )).
fof(l133_toprealb,axiom,( k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1)) = k1_numbers )).
fof(l134_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,E),k9_bvfunc_1(A,C,F)),k9_bvfunc_1(A,D,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,E,F))),k1_bvfunc_1(A,k2_bvfunc_1(A,E,G))),k1_bvfunc_1(A,k2_bvfunc_1(A,F,G))),k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,C,F),k9_bvfunc_1(A,D,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,E,F))),k1_bvfunc_1(A,k2_bvfunc_1(A,E,G)))),k12_bvfunc_1(A)) ) ) ) ) ) ) ) )).
fof(l134_fomodel4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v13_fomodel1(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,B,A) ) => ( k13_fomodel2(B,A,E,k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),C),D)) = 1 <=> k1_funct_1(k9_fomodel2(B,A,E),C) = k1_funct_1(k9_fomodel2(B,A,E),D) ) ) ) ) ) ) )).
fof(l134_jordan,axiom,( v1_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(k5_numbers,3))) )).
fof(l134_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l6_algstr_0(C) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ( ( v12_o_ring_1(D,C) & r1_xxreal_0(A,k3_finseq_1(D)) & r1_xxreal_0(B,k3_finseq_1(D)) ) => ( A = k5_numbers | B = k5_numbers | v12_o_ring_1(k8_finseq_1(u1_struct_0(C),D,k12_finseq_1(u1_struct_0(C),k6_algstr_0(C,k7_partfun1(u1_struct_0(C),D,A),k7_partfun1(u1_struct_0(C),D,B)))),C) ) ) ) ) ) ) )).
fof(l134_toprealb,axiom,( k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos))),1)) = k1_numbers )).
fof(l134_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => r1_tarski(u1_struct_0(k7_zmodul01(A,B,C)),u1_struct_0(k6_zmodul01(A,B,C))) ) ) ) )).
fof(l135_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v16_bcialg_1(A) => k1_bcialg_1(A,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),k1_bcialg_1(A,C,B)) = k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)),k1_bcialg_1(A,C,B)),k1_bcialg_1(A,B,C)) ) ) ) ) )).
fof(l135_jordan,axiom,( v1_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(k5_numbers,3))) )).
fof(l135_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v4_o_ring_1(C,A) & v1_o_ring_1(B,A) ) => v4_o_ring_1(k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),k6_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l135_toprealb,axiom,( v1_funct_1(c48__toprealb) & v1_funct_2(c48__toprealb,u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))) & v5_pre_topc(c48__toprealb,k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb)),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb))))) & m1_subset_1(c48__toprealb,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))))) )).
fof(l136_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v15_bcialg_1(A) <=> v16_bcialg_1(A) ) ) )).
fof(l136_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k24_fomodel4(A),A) ) )).
fof(l136_jordan,axiom,( v1_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3))) )).
fof(l136_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) ) => ( ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( k1_relset_1(A,k3_mesfunc1(A,D,E)) = F & r1_mesfunc1(A,B,k3_mesfunc1(A,D,E),F) ) ) | r1_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) ) ) ) ) ) ) ) )).
fof(l136_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,D,E) = k35_modelc_2(A,D,E) ) & ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(C,D,E) = k35_modelc_2(A,D,E) ) ) => r2_funct_2(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(l136_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v8_o_ring_1(B,A) & v8_o_ring_1(C,A) ) => v8_o_ring_1(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),B,C),k12_finseq_1(u1_struct_0(A),k6_algstr_0(A,k7_partfun1(u1_struct_0(A),B,k3_finseq_1(B)),k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C))))),A) ) ) ) ) )).
fof(l136_toprealb,axiom,( k1_relset_1(k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1)) = u1_struct_0(k2_topalg_2) )).
fof(l136_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k7_xcmplx_0(A,B)) = k7_xcmplx_0(k4_xcmplx_0(A),B) ) ) )).
fof(l136_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => u1_struct_0(k6_zmodul01(A,k7_zmodul01(A,B,C),C)) = u1_struct_0(C) ) ) ) )).
fof(l137_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k25_fomodel4(A),A) ) )).
fof(l137_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => r1_tarski(k13_intpro_1(k13_intpro_1(A)),k13_intpro_1(A)) ) )).
fof(l137_jordan,axiom,( v1_sppol_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(1,k4_xcmplx_0(3)))) )).
fof(l137_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(B,A) & v12_o_ring_1(C,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),B,C),k12_finseq_1(u1_struct_0(A),k6_algstr_0(A,k7_partfun1(u1_struct_0(A),B,k3_finseq_1(B)),k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C))))),A) ) ) ) ) )).
fof(l137_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => A = k24_quaterni(k21_quaterni(A,B),B) ) ) )).
fof(l137_toprealb,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1),k5_toprealb(c46__toprealb))) = k5_toprealb(c46__toprealb) )).
fof(l138_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k26_fomodel4(A),A) ) )).
fof(l138_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3))) )).
fof(l138_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) & k1_relset_1(A,D) = k1_relset_1(A,E) & ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ! [G] : ( m2_subset_1(G,k1_zfmisc_1(A),B) => ! [H] : ( m2_subset_1(H,k1_zfmisc_1(A),B) => ~ ( r1_tarski(F,k1_relset_1(A,D)) & r1_tarski(G,k1_relset_1(A,D)) & F = k7_subset_1(A,k1_relset_1(A,D),G) & v3_valued_0(k2_partfun1(A,k6_numbers,D,F)) & F = k1_relset_1(A,k2_partfun1(A,k6_numbers,D,F)) & r1_mesfunc1(A,B,k2_partfun1(A,k6_numbers,D,F),F) & r1_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,F)) & k7_mesfunc5(A,B,C,D) = k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,F)) & r1_tarski(F,k1_relset_1(A,E)) & r1_tarski(G,k1_relset_1(A,E)) & F = k7_subset_1(A,k1_relset_1(A,E),G) & v3_valued_0(k2_partfun1(A,k6_numbers,E,F)) & F = k1_relset_1(A,k2_partfun1(A,k6_numbers,E,F)) & r1_mesfunc1(A,B,k2_partfun1(A,k6_numbers,E,F),F) & r1_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,E,F)) & k7_mesfunc5(A,B,C,E) = k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,E,F)) & r1_tarski(F,k1_relset_1(A,k3_mesfunc1(A,D,E))) & r1_tarski(H,k1_relset_1(A,k3_mesfunc1(A,D,E))) & F = k7_subset_1(A,k1_relset_1(A,k3_mesfunc1(A,D,E)),H) & k12_supinf_2(C,G) = k5_numbers & k12_supinf_2(C,H) = k5_numbers & F = k1_relset_1(A,k2_partfun1(A,k6_numbers,k3_mesfunc1(A,D,E),F)) & r1_mesfunc1(A,B,k2_partfun1(A,k6_numbers,k3_mesfunc1(A,D,E),F),F) & r1_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k3_mesfunc1(A,D,E),F)) & r2_relset_1(A,k6_numbers,k2_partfun1(A,k6_numbers,k3_mesfunc1(A,D,E),F),k3_mesfunc1(A,k2_partfun1(A,k6_numbers,D,F),k2_partfun1(A,k6_numbers,E,F))) & k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k3_mesfunc1(A,D,E),F)) = k3_supinf_2(k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,F)),k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,E,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(l138_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => A = k21_quaterni(k24_quaterni(A,B),B) ) ) )).
fof(l138_toprealb,axiom,( r1_tarski(k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1),k5_toprealb(c46__toprealb))),k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb))) )).
fof(l138_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => u1_struct_0(k7_zmodul01(A,B,k6_zmodul01(A,B,C))) = u1_struct_0(B) ) ) ) )).
fof(l139_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k27_fomodel4(A),A) ) )).
fof(l139_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => v10_intpro_1(k13_intpro_1(A)) ) )).
fof(l139_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k4_xcmplx_0(1),3))) )).
fof(l139_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) & k1_relset_1(A,D) = k1_relset_1(A,E) ) => ( r1_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) & k7_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) = k3_supinf_2(k7_mesfunc5(A,B,C,D),k7_mesfunc5(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(l139_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k24_quaterni(A,B) = k5_quaterni(k6_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k6_xcmplx_0(k13_quaterni(A),k13_quaterni(B)),k6_xcmplx_0(k14_quaterni(A),k14_quaterni(B)),k6_xcmplx_0(k15_quaterni(A),k15_quaterni(B))) ) ) )).
fof(l139_toprealb,axiom,( v1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1),k5_toprealb(c46__toprealb))) & v1_funct_2(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1),k5_toprealb(c46__toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))) & m1_subset_1(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1),k5_toprealb(c46__toprealb)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))))) )).
fof(l13_afvect01,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01)),k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))))) & ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),A) <=> ( r2_hidden(B,k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))) & r2_hidden(C,k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))) & ? [D] : ( m1_subset_1(D,u1_struct_0(o_0_0_afvect01)) & ? [E] : ( m1_subset_1(E,u1_struct_0(o_0_0_afvect01)) & ? [F] : ( m1_subset_1(F,u1_struct_0(o_0_0_afvect01)) & ? [G] : ( m1_subset_1(G,u1_struct_0(o_0_0_afvect01)) & B = k4_tarski(D,E) & C = k4_tarski(F,G) & r2_diraf(o_0_0_afvect01,D,E,F,G) ) ) ) ) ) ) ) )).
fof(l13_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_3)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_3)) => ? [D] : ( m1_subset_1(D,u1_struct_0(k3_algstr_3)) & k1_algstr_3(k3_algstr_3,A,B,D) = C ) ) ) ) )).
fof(l13_ami_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) & v5_memstr_0(A,k5_card_1(2),k1_ami_3,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_ami_3)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( r1_tarski(k1_ami_4,B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( ( k1_funct_1(A,k10_ami_3(k5_numbers)) = C & k1_funct_1(A,k10_ami_3(1)) = D ) => ( r1_xxreal_0(C,D) | r1_xxreal_0(D,k5_numbers) | ( k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,B,A),k10_ami_3(k5_numbers)) = k3_int_2(C,D) & ? [E] : ( v7_ordinal1(E) & r1_compos_1(k1_ami_3,B,k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,E))) ) ) ) ) ) ) ) ) ) )).
fof(l13_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k4_amistd_1(A))) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(C,u1_struct_0(k4_amistd_1(A))) ) => ( k5_compos_0(u1_compos_1(k4_amistd_1(A)),B) = 1 => k1_funct_1(k2_extpro_1(A,k4_amistd_1(A),B,C),k4_struct_0(k4_amistd_1(A))) = k1_nat_1(k5_memstr_0(A,k4_amistd_1(A),C),1) ) ) ) ) )).
fof(l13_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xcmplx_0(D,E)),k1_rlvect_1(A,C,k3_xcmplx_0(D,F))) = k1_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),D) ) ) ) ) ) ) )).
fof(l13_arytm_0,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l13_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => k1_arytm_1(A,A) = k11_arytm_3 ) )).
fof(l13_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k1_bcialg_1(A,B,k4_struct_0(A)) = k4_struct_0(A) => B = k4_struct_0(A) ) ) ) )).
fof(l13_brouwer2,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v2_tops_1(k2_topreal9(A,k4_struct_0(k15_euclid(A)),1),k15_euclid(A)) ) )).
fof(l13_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( A = k5_numbers => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k1_pre_topc(k15_euclid(A),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) ) => ( v3_tops_2(D,k1_pre_topc(k15_euclid(A),B),k1_pre_topc(k15_euclid(A),C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ( r2_tarski(E,k2_tops_1(k15_euclid(A),B)) => r2_tarski(k1_funct_1(D,E),k2_tops_1(k15_euclid(A),C)) ) & ( r2_tarski(E,k1_tops_1(k15_euclid(A),B)) => r2_tarski(k1_funct_1(D,E),k1_tops_1(k15_euclid(A),C)) ) ) ) ) ) ) ) ) ) )).
fof(l13_catalg_1,axiom,( ! [A] : ! [B] : ( r2_hidden(B,k10_xtuple_0(k2_xboole_0(u1_struct_0(k3_catalg_1(A)),u4_struct_0(k3_catalg_1(A))))) => ( v1_relat_1(B) & v1_funct_1(B) ) ) )).
fof(l13_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(2))) => ( D = k10_finseq_1(A,B) => k1_rlvect_1(k4_real_ns1(2),D,C) = k10_finseq_1(k3_xcmplx_0(C,A),k3_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(l13_compl_sp,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v4_compl_sp(B,A) & v5_compl_sp(B,A) & ( ~ v2_struct_0(A) => v2_relat_1(B) ) ) ) )).
fof(l13_complex1,axiom,( k6_complex1 = k5_arytm_0(c2__complex1,c1__complex1) )).
fof(l13_comptrig,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k5_numbers) )).
fof(l13_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( k9_complex1(k8_nat_1(k2_numbers,A,B)) = k8_nat_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),B) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),B)) ) ) ) )).
fof(l13_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v1_xreal_0(D) => k1_convex1(A,k6_rusub_4(A,B,C),D) = k6_rusub_4(A,k1_convex1(A,B,D),k1_convex1(A,C,D)) ) ) ) ) )).
fof(l13_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => k3_rusub_4(A,k2_rlsub_2(A,B,C)) = k9_subset_1(u1_struct_0(A),k3_rusub_4(A,B),k3_rusub_4(A,C)) ) ) ) )).
fof(l13_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ( r2_tarski(k1_supinf_1,k2_relset_1(k6_numbers,A)) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) | k4_extreal1(A) = k1_supinf_1 ) ) ) )).
fof(l13_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) => v2_cqc_the1(k8_cqc_lang(A,k7_cqc_lang(A,D,B),k7_cqc_lang(A,D,C)),A) ) ) ) ) ) )).
fof(l13_csspace2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ( k4_algstr_0(k16_csspace,A) = k31_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)) & r2_funct_2(k4_ordinal1,k2_numbers,k2_csspace(k4_algstr_0(k16_csspace,A)),k31_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A))) ) ) )).
fof(l13_csspace3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & v2_comseq_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k2_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B,E),A)),k1_funct_1(C,E)) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k2_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_comseq_2(B),A)),k1_seq_2(C)) ) ) ) ) ) ) ) )).
fof(l13_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v1_comseq_2(A) & k2_seq_4(k2_relset_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A))) = k5_numbers ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_complex1 ) ) ) )).
fof(l13_dtconstr,axiom,( m1_subset_1(k5_numbers,u1_struct_0(k5_dtconstr)) & m1_subset_1(1,u1_struct_0(k5_dtconstr)) )).
fof(l13_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k2_tarski(A,B),k2_tarski(C,D)) )).
fof(l13_euclid_6,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_comptrig(B),k1_comptrig(A))) => ( B = k5_numbers | k1_comptrig(k2_complex2(B,k4_xcmplx_0(k1_comptrig(A)))) = k6_xcmplx_0(k1_comptrig(B),k1_comptrig(A)) ) ) ) ) )).
fof(l13_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k8_euclid(3,k1_euclid_8(A,B,C),k1_euclid_8(D,E,F)) = k1_euclid_8(k6_xcmplx_0(A,D),k6_xcmplx_0(B,E),k6_xcmplx_0(C,F)) ) ) ) ) ) ) )).
fof(l13_extreal1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) & k4_extreal1(A) = k2_supinf_1 ) ) )).
fof(l13_fib_fusc,axiom,( k10_ami_3(k5_numbers) != k10_ami_3(4) )).
fof(l13_fib_num4,axiom,( k2_power(k2_fib_num,6) = k6_xcmplx_0(9,k3_xcmplx_0(4,k3_square_1(5))) )).
fof(l13_finance2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k1_numbers),A,B) = k1_seq_4(B) ) ) )).
fof(l13_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => r2_wellord2(k2_finseq_1(A),A) ) )).
fof(l13_finseq_2,axiom,( ! [A] : ! [B] : k10_xtuple_0(k10_finseq_1(A,B)) = k2_tarski(A,B) )).
fof(l13_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => r1_tarski(k3_xboole_0(k4_finseq_2(C,A),k3_finseq_2(B)),k4_finseq_2(C,B)) ) )).
fof(l13_fomodel3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & v3_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_partfun1(k9_fomodel3(B,C,A),k4_finseq_2(A,B)) & v3_relat_2(k9_fomodel3(B,C,A)) & m1_subset_1(k9_fomodel3(B,C,A),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),k4_finseq_2(A,B)))) ) ) ) ) )).
fof(l13_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ( v1_glib_000(A) <=> ( r1_tarski(k5_glib_000,k1_relset_1(k4_ordinal1,A)) & ~ v1_xboole_0(k6_glib_000(A)) & v1_funct_1(k8_glib_000(A)) & v1_funct_2(k8_glib_000(A),k7_glib_000(A),k6_glib_000(A)) & m1_subset_1(k8_glib_000(A),k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),k6_glib_000(A)))) & v1_funct_1(k9_glib_000(A)) & v1_funct_2(k9_glib_000(A),k7_glib_000(A),k6_glib_000(A)) & m1_subset_1(k9_glib_000(A),k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A),k6_glib_000(A)))) ) ) ) )).
fof(l13_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_003(A) ) => r1_tarski(k9_xtuple_0(k7_glib_003(A)),k6_glib_000(A)) ) )).
fof(l13_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_4_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l13_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,2) & r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,A),1),5) ) ) )).
fof(l13_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m2_finseq_1(C,u4_struct_0(B)) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) ) => ( r2_tarski(k1_funct_1(u1_graph_1(B),k1_funct_1(C,A)),u1_struct_0(B)) & r2_tarski(k1_funct_1(u2_graph_1(B),k1_funct_1(C,A)),u1_struct_0(B)) ) ) ) ) ) )).
fof(l13_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_aff_1(A,D,B,C) & v4_aff_2(A) & r1_aff_1(A,D,B,F) ) => ( D = B | ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( ~ r1_aff_1(A,D,B,H) & r1_aff_1(A,D,H,I) & r2_analoaf(A,B,H,C,I) & r2_analoaf(A,H,F,I,G) & r1_aff_1(A,D,B,G) ) ) ) | ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( ~ r1_aff_1(A,D,B,H) & r1_aff_1(A,D,H,I) & r2_analoaf(A,B,H,C,I) & r2_analoaf(A,H,F,I,E) & r1_aff_1(A,D,B,E) ) ) ) | G = E ) ) ) ) ) ) ) ) ) )).
fof(l13_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(A))) => ( C = B => k4_algstr_0(k13_polynom3(A),C) = k5_vfunct_1(k4_ordinal1,A,B) ) ) ) ) )).
fof(l13_integra7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_integra7(A,C,B) <=> ( r2_fdiff_1(C,A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(C,A),k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) ) )).
fof(l13_integra9,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),A) & k1_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),A) = k4_xcmplx_0(k1_funct_1(k18_sin_cos,A)) ) ) )).
fof(l13_jgraph_5,axiom,( r2_tarski(1,k1_rcomp_1(k5_numbers,1)) )).
fof(l13_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => m1_subset_1(a_4_3_jordan1(A,B,C,D),k1_zfmisc_1(k1_euclid(2))) ) ) ) ) )).
fof(l13_jordan18,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = k3_pcomps_1(k14_euclid(2)) )).
fof(l13_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( r2_tarski(A,B) & v9_rltopsp1(B,k15_euclid(2)) ) => ( r1_xxreal_0(k1_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,B)),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),k2_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,B))) ) ) ) ) )).
fof(l13_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k1_nat_1(k7_nat_d(k3_xcmplx_0(2,A),2),1) = k7_nat_d(k3_xcmplx_0(2,A),1) ) ) )).
fof(l13_jordan24,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))),u1_struct_0(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))),u1_struct_0(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))))) ) => ( ( D = C & v3_tops_2(D,g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) ) => v3_tops_2(C,A,B) ) ) ) ) ) )).
fof(l13_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(C,D) => ( r1_xxreal_0(C,k5_numbers) | ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) => ( E = k5_euclid(A) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( F = k8_metric_1(k14_euclid(A),E,B) => r1_tarski(k1_convex1(k15_euclid(A),F,C),k1_convex1(k15_euclid(A),F,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(l13_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),C),k8_cqc_lang(A,D,k8_cqc_lang(A,k8_cqc_lang(A,C,B),B))),k4_cqc_the1(A)) ) ) ) ) )).
fof(l13_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( v1_matrixj2(k1_xboole_0,A) & m2_finseq_1(k1_xboole_0,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) ) )).
fof(l13_measure7,axiom,( r2_tarski(k1_numbers,k9_setfam_1(k1_numbers)) )).
fof(l13_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_pre_topc(A,k1_mfold_0(A)))) => ? [C] : ( m1_connsp_2(C,k1_pre_topc(A,k1_mfold_0(A)),B) & ? [D] : ( v7_ordinal1(D) & r2_borsuk_3(k1_pre_topc(k1_pre_topc(A,k1_mfold_0(A)),C),k1_mfold_1(D,k4_struct_0(k15_euclid(D)),1)) ) ) ) ) )).
fof(l13_modelc_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => k3_finseq_1(k8_finseq_1(k4_ordinal1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,A),B),C)) = k1_nat_1(k1_nat_1(1,k3_finseq_1(B)),k3_finseq_1(C)) ) ) ) )).
fof(l13_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => m1_subset_1(k1_tarski(A),k1_zfmisc_1(k13_modelc_2(A))) ) )).
fof(l13_moebius2,axiom,( r1_nat_d(2,k2_nat_1(2,3)) )).
fof(l13_msalimit,axiom,( ! [A] : ( ( v2_struct_0(A) & v11_struct_0(A) & l1_msualg_1(A) ) => r3_pua2mss1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u4_struct_0(A))) ) )).
fof(l13_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => r1_tarski(k2_pre_topc(A,C),k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B))) ) ) ) ) )).
fof(l13_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(B,k5_ordinal1) & r1_xxreal_0(k2_xcmplx_0(A,k1_newton(B,C)),A) ) ) ) ) )).
fof(l13_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( k8_nat_1(k4_numbers,C,k5_numbers) = A & k8_nat_1(k4_numbers,D,k5_numbers) = B & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_numbers,C,k1_nat_1(E,1)) = k8_nat_1(k4_numbers,D,E) & k8_nat_1(k4_numbers,D,k1_nat_1(E,1)) = k5_int_1(k8_nat_1(k4_numbers,C,E),k8_nat_1(k4_numbers,D,E)) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_numbers,D,E) != k5_numbers => k3_int_2(k8_nat_1(k4_numbers,C,k5_numbers),k8_nat_1(k4_numbers,D,k5_numbers)) = k3_int_2(k8_nat_1(k4_numbers,C,E),k8_nat_1(k4_numbers,D,E)) ) ) ) ) ) ) ) )).
fof(l13_numbers,axiom,( r1_tarski(k3_numbers,k1_numbers) )).
fof(l13_ordinal1,axiom,( v1_ordinal1(k1_xboole_0) & v2_ordinal1(k1_xboole_0) )).
fof(l13_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,B,C),k5_algstr_0(A,D,E)),k8_group_1(A,k5_algstr_0(A,B,F),k5_algstr_0(A,D,G))) = k4_struct_0(A) => k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,C,B),k5_algstr_0(A,G,E)),k8_group_1(A,k5_algstr_0(A,C,F),k5_algstr_0(A,G,D))) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(l13_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k5_algstr_0(A,k8_group_1(A,C,B),k8_group_1(A,C,D)) = k3_rlvect_1(A,D,B) => k8_group_1(A,k5_algstr_0(A,C,k1_group_1(A)),B) = k8_group_1(A,k3_rlvect_1(A,C,k1_group_1(A)),D) ) ) ) ) ) )).
fof(l13_pdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( D = k10_finseq_1(A,B) & r3_pdiff_1(2,2,E,D) ) => ( C = k1_fdiff_1(k1_pdiff_2(2,2,E,D),B) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & D = k10_finseq_1(F,G) & ? [H] : ( m1_rcomp_1(H,G) & r1_tarski(H,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,E,D))) & ? [I] : ( v1_funct_1(I) & v3_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [J] : ( v1_funct_1(J) & v2_fdiff_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(I,1) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,H) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,2,E,D),K),k1_funct_1(k1_pdiff_2(2,2,E,D),G)) = k2_xcmplx_0(k1_funct_1(I,k6_xcmplx_0(K,G)),k1_funct_1(J,k6_xcmplx_0(K,G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l13_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ( ( F = k3_relat_1(C,k4_pdiff_1(E,B)) & G = k3_relat_1(D,k4_pdiff_1(E,B)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,B) ) => k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),F,G) = k3_relat_1(k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),C,D),k4_pdiff_1(E,B)) ) ) ) ) ) ) ) ) )).
fof(l13_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ! [D] : ( v7_ordinal1(D) => ~ ( v1_pdiff_7(C,A) & r2_tarski(B,C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,A) & ! [E] : ( m1_rcomp_1(E,k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(D,A),B)) => ? [F] : ( m1_subset_1(F,k1_numbers) & r2_tarski(F,E) & ~ r2_tarski(k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,D,B),F),C) ) ) ) ) ) ) ) )).
fof(l13_petri_3,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) ) => ! [C] : ( m1_petri_3(C,A,B) => ! [D] : ( m2_petri_3(D,A,B,C) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( E = k3_tarski(k10_xtuple_0(D)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ! [G] : ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ( ( F = k1_funct_1(D,k1_domain_1(A,A,H,I)) & r2_hidden(G,k9_xtuple_0(F)) ) => ( H = I | k1_funct_1(E,G) = k1_funct_1(F,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l13_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(D) => ( v2_comseq_2(k8_prob_1(A,B,D,C)) & k1_seq_2(k8_prob_1(A,B,D,C)) = k1_funct_1(C,k1_prob_1(A,D)) ) ) ) ) ) ) )).
fof(l13_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ~ ( ? [H] : ( m1_subset_1(H,u1_incsp_1(A)) & r1_incsp_1(A,H,F) & r1_incsp_1(A,H,G) ) & r1_incsp_1(A,B,F) & r1_incsp_1(A,C,F) & r1_incsp_1(A,D,F) & r1_incsp_1(A,E,F) & r2_zfmisc_1(B,C,D,E) & ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u1_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u1_incsp_1(A)) => ~ ( r1_incsp_1(A,H,G) & r1_incsp_1(A,I,G) & r1_incsp_1(A,J,G) & r1_incsp_1(A,K,G) & r2_zfmisc_1(H,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l13_qmax_1,axiom,( k9_xtuple_0(k6_domain_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))),k1_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),c3__qmax_1))) = k8_mcart_1(k4_ordinal1,k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers)) )).
fof(l13_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(2,B) & r2_tarski(C,k2_finseq_1(A)) ) => k11_radix_1(k4_radix_1(C,B,A,k10_radix_1(B,A,1))) = k5_numbers ) ) ) ) )).
fof(l13_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers))) ) => ( ( ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(F,H) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,H,E) ) & ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(G,H) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,H,E) ) ) => r2_funct_2(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers,F,G) ) ) ) ) ) ) ) ) )).
fof(l13_realset2,axiom,( k4_binop_1(2,k1_realset2,k10_subset_1(k5_numbers,2),k10_subset_1(1,2)) = k10_subset_1(1,2) )).
fof(l13_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v2_ringcat1(C) & l1_ringcat1(C) ) => ( ( k1_ringcat1(C) = A & k2_ringcat1(C) = B & v1_ringcat1(k3_ringcat1(C),u1_ringcat1(C),u2_ringcat1(C)) ) => m1_ringcat1(C,A,B) ) ) ) ) )).
fof(l13_robbins3,axiom,( v10_lattices(k1_robbins3) )).
fof(l13_rsspace3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & v2_comseq_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k2_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B,E),A)),k1_funct_1(C,E)) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k2_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_seq_2(B),A)),k1_seq_2(C)) ) ) ) ) ) ) ) )).
fof(l13_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => ( ( m1_rusub_1(B,D) & m1_rusub_1(C,D) ) => m1_rusub_1(k1_rusub_2(A,B,C),D) ) ) ) ) ) )).
fof(l13_scmfsa8b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ( r2_tarski(1,k9_xtuple_0(k1_scmfsa8b(A,B,C))) & r2_tarski(1,k9_xtuple_0(k2_scmfsa8b(A,B,C))) ) ) ) ) )).
fof(l13_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k3_sf_mastr(k1_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers)))) = k3_sf_mastr(k1_funct_7(k1_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(B),2),k11_scmfsa_2(k5_numbers))) ) ) )).
fof(l13_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(1)) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(2)) = 1 & k1_funct_1(B,k1_scmp_gcd(3)) = C ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1)))),B,A),k1_scmp_gcd(1)) = k1_pre_ff(C) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1)))),B,A),k1_scmp_gcd(2)) = k1_pre_ff(k1_nat_1(C,1)) & r1_scmpds_6(k2_scmpds_8(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1)))),B,A) & r2_scmpds_6(k2_scmpds_8(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,2),k12_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,4)),k11_scmpds_2(k2_scmp_gcd,3,k4_xcmplx_0(1)))),B,A) ) ) ) ) ) )).
fof(l13_scpisort,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k2_scmpds_7(A,B,C,D) = k2_scmpds_4(k8_scmpds_2(A,B,k1_nat_1(k4_card_1(D),3)),k3_scmpds_4(k3_scmpds_4(D,k11_scmpds_2(A,B,k4_xcmplx_0(C))),k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(D),2))))) ) ) ) ) )).
fof(l13_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( k1_funct_1(B,D) = F & 1 = k1_funct_1(B,k2_scmpds_2(F,E)) & I = k1_nat_1(k2_xcmplx_0(G,H),1) & k1_nat_1(G,1) = k1_funct_1(B,k1_scmp_gcd(I)) & k2_xcmplx_0(G,H) = k1_funct_1(B,k1_scmp_gcd(k1_nat_1(I,1))) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( k1_funct_1(J,D) = F & k1_nat_1(k3_xcmplx_0(2,N),1) = k1_funct_1(J,k2_scmpds_2(F,E)) & O = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(G,H),k3_xcmplx_0(2,N)),1) & k2_xcmplx_0(G,P) = k1_funct_1(J,k1_scmp_gcd(O)) & k2_xcmplx_0(G,Q) = k1_funct_1(J,k1_scmp_gcd(k1_nat_1(O,1))) ) => ( ( ~ ( r1_xxreal_0(1,P) & r1_xxreal_0(Q,H) ) & ~ r1_xxreal_0(Q,P) ) | ( r1_scmpds_6(C,J,K) & r2_scmpds_6(C,J,K) & k1_funct_1(k6_scmpds_4(C,J,K),D) = k1_funct_1(J,D) & ! [R] : ( v7_ordinal1(R) => ( r1_xxreal_0(1,R) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,N),1),R) | k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(G,H),R))) = k1_funct_1(J,k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(G,H),R))) ) ) ) & ( r1_xxreal_0(Q,P) => ( k1_funct_1(k6_scmpds_4(C,J,K),k2_scmpds_2(F,E)) = k6_xcmplx_0(k3_xcmplx_0(2,N),1) & ! [R] : ( v7_ordinal1(R) => ( ( r1_xxreal_0(1,R) & r1_xxreal_0(R,H) ) => k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R))) = k1_funct_1(J,k1_scmp_gcd(k2_xcmplx_0(G,R))) ) ) ) ) & ( ~ r1_xxreal_0(Q,P) => ( k1_funct_1(k6_scmpds_4(C,J,K),k2_scmpds_2(F,E)) = k1_nat_1(k3_xcmplx_0(2,N),3) & ! [R] : ( v7_ordinal1(R) => ( ( ( r1_xxreal_0(1,R) & ~ r1_xxreal_0(P,R) ) | ( ~ r1_xxreal_0(R,Q) & r1_xxreal_0(R,H) ) ) => k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R))) = k1_funct_1(J,k1_scmp_gcd(k2_xcmplx_0(G,R))) ) ) & ? [R] : ( v7_ordinal1(R) & r1_xxreal_0(P,R) & r1_xxreal_0(R,Q) & k2_xcmplx_0(G,P) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(O)) & k6_xcmplx_0(k2_xcmplx_0(G,R),1) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k1_nat_1(O,1))) & k1_nat_1(k2_xcmplx_0(G,R),1) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k1_nat_1(O,2))) & k2_xcmplx_0(G,Q) = k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k1_nat_1(O,3))) & ! [S] : ( v7_ordinal1(S) => ( r1_xxreal_0(P,S) => ( r1_xxreal_0(R,S) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,S))),k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R)))) ) ) ) & ! [S] : ( v7_ordinal1(S) => ( r1_xxreal_0(S,Q) => ( r1_xxreal_0(S,R) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,R))),k1_funct_1(k6_scmpds_4(C,J,K),k1_scmp_gcd(k2_xcmplx_0(G,S)))) ) ) ) ) ) ) & ( ( r1_scpisort(L,J,G) & r1_scpisort(M,k6_scmpds_4(C,J,K),G) & k3_finseq_1(L) = H & k3_finseq_1(M) = H ) => r2_classes1(L,M) ) ) ) ) ) ) ) ) ) ) ) ) ) => ( r2_scmpds_6(k2_scmpds_8(D,E,C),B,A) & r1_scmpds_6(k2_scmpds_8(D,E,C),B,A) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l13_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k3_xcmplx_0(4,k1_newton(A,2))),k3_xcmplx_0(11,A)),k3_xcmplx_0(12,k1_newton(A,2))),3) = k3_xcmplx_0(k1_nat_1(A,1),k6_xcmplx_0(k2_nat_1(4,k11_newton(k1_nat_1(A,1),2)),1)) ) )).
fof(l13_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(k3_xcmplx_0(2,k1_square_1(C)),k2_xcmplx_0(k1_square_1(k7_xcmplx_0(k3_xcmplx_0(B,C),A)),k1_square_1(k7_xcmplx_0(k3_xcmplx_0(C,A),B)))) ) ) ) )).
fof(l13_sin_cos6,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(1,k28_sin_cos)) )).
fof(l13_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(A,a_2_0_srings_2(B,C)) <=> r2_tarski(A,a_2_1_srings_2(B,C)) ) )).
fof(l13_sysrel,axiom,( ! [A] : r1_tarski(k4_relat_1(A),k2_zfmisc_1(A,A)) )).
fof(l13_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => r2_tarski(C,k1_relat_1(B)) ) ) ) )).
fof(l13_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) => ! [D] : ( ( v1_tops_2(D,A) & v1_yellow_8(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [E] : ~ ( r2_tarski(E,D) & r1_xboole_0(E,B) ) ) ) ) ) ) )).
fof(l13_topreal2,axiom,( ~ r2_tarski(k19_euclid(k5_numbers,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) )).
fof(l13_topreal8,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_nat_1(C,1)) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ( k2_xcmplx_0(k3_finseq_1(k1_graph_2(A,B,C)),B) = k1_nat_1(C,1) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(k1_graph_2(A,B,C)),D) => k1_funct_1(k1_graph_2(A,B,C),k1_nat_1(D,1)) = k1_funct_1(A,k2_xcmplx_0(B,D)) ) ) ) ) ) ) ) )).
fof(l13_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B != C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ ( ~ r1_aff_1(A,B,C,E) & r2_analoaf(A,B,C,E,D) & r2_analoaf(A,B,E,C,D) ) & ~ ( r1_aff_1(A,B,C,E) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,F) & r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,F,C,G) & r2_analoaf(A,F,G,E,D) & r2_analoaf(A,F,E,G,D) ) ) ) ) ) ) ) ) ) ) )).
fof(l13_xboole_0,axiom,( ! [A] : ( v1_xboole_0(A) => A = k1_xboole_0 ) )).
fof(l13_xcmplx_0,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l13_xreal_0,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(1)) = k5_numbers )).
fof(l13_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k2_xcmplx_0(A,C),k2_xcmplx_0(B,C)) => r1_xxreal_0(A,B) ) ) ) ) )).
fof(l13_xxreal_0,axiom,( ~ r1_xxreal_0(k1_xxreal_0,k2_xxreal_0) )).
fof(l13_zfmodel2,axiom,( k2_zf_lang(3) != k2_zf_lang(4) )).
fof(l13_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ~ ( v6_zmodul01(A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k5_zmodul04(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A))))) ) => ~ ( v2_funct_1(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,C) = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k1_domain_1(u1_struct_0(A),k4_ordinal1,C,1)) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,k3_rlvect_1(A,C,D)) = k3_rlvect_1(k5_zmodul04(A),k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,D)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_int_1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_gaussint)) => ( D = E => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,k1_zmodul01(A,C,D)) = k3_vectsp_1(k11_gaussint,k5_zmodul04(A),E,k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,C)) ) ) ) ) & k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,k4_struct_0(A)) = k4_struct_0(k5_zmodul04(A)) ) ) ) ) )).
fof(l140_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k28_fomodel4(A),A) ) )).
fof(l140_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,3)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(1,3))) )).
fof(l140_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,D,E) = k38_modelc_2(A,D,E) ) & ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(C,D,E) = k38_modelc_2(A,D,E) ) ) => r2_funct_2(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(l140_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v9_o_ring_1(B,A) & v9_o_ring_1(C,A) ) => v9_o_ring_1(k6_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l140_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k24_quaterni(A,B) = k23_quaterni(k24_quaterni(B,A)) ) ) )).
fof(l140_toprealb,axiom,( k6_toprealb(k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1)) = k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1) )).
fof(l140_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => r1_tarski(u1_struct_0(k6_zmodul01(A,k7_zmodul01(A,B,C),k7_zmodul01(A,C,D))),u1_struct_0(k7_zmodul01(A,C,k6_zmodul01(A,B,D)))) ) ) ) ) )).
fof(l141_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(1,3))) )).
fof(l141_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ( k24_quaterni(A,B) = k5_numbers => A = B ) ) ) )).
fof(l141_toprealb,axiom,( k1_relset_1(k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1)) = k1_numbers )).
fof(l142_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & v1_group_3(C,A) & m1_group_2(C,A) ) => r1_tarski(k2_group_2(A,k8_group_2(A,C),k8_group_2(A,B)),k2_group_2(A,k8_group_2(A,B),k8_group_2(A,C))) ) ) ) )).
fof(l142_jordan,axiom,( k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3) = a_0_0_jordan )).
fof(l142_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,D,E) = k1_funct_1(k31_modelc_2(A),k1_binop_1(k36_modelc_2(A),k1_funct_1(k31_modelc_2(A),D),k1_funct_1(k31_modelc_2(A),E))) ) & ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(C,D,E) = k1_funct_1(k31_modelc_2(A),k1_binop_1(k36_modelc_2(A),k1_funct_1(k31_modelc_2(A),D),k1_funct_1(k31_modelc_2(A),E))) ) ) => r2_funct_2(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(l142_toprealb,axiom,( k2_relset_1(k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),1)) = k1_numbers )).
fof(l142_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( m1_zmodul01(B,C) => u1_struct_0(k7_zmodul01(A,C,k6_zmodul01(A,B,D))) = u1_struct_0(k6_zmodul01(A,k7_zmodul01(A,B,C),k7_zmodul01(A,C,D))) ) ) ) ) ) )).
fof(l143_aofa_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & v3_freealg(C) & v3_aofa_000(C) & v4_aofa_000(C) & v5_aofa_000(C) & v6_aofa_000(C) & v12_aofa_000(C) & l1_unialg_1(C) ) => ! [D] : ( m1_aofa_000(D,C,A,B) => ! [E] : ( m1_aofa_000(E,C,A,B) => ( r2_relset_1(k2_zfmisc_1(A,u1_struct_0(C)),A,k2_partfun1(k2_zfmisc_1(A,u1_struct_0(C)),A,D,k2_zfmisc_1(A,k18_aofa_000(C))),k2_partfun1(k2_zfmisc_1(A,u1_struct_0(C)),A,E,k2_zfmisc_1(A,k18_aofa_000(C)))) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,A) => ( r2_hidden(k4_tarski(G,F),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(G,F),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,G,F) = k2_binop_1(A,u1_struct_0(C),A,E,G,F) ) ) ) ) ) ) ) ) ) ) )).
fof(l143_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k31_fomodel4(A),A) ) )).
fof(l143_jordan,axiom,( r2_tarski(k19_euclid(k5_numbers,3),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l143_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(B,D,E) = k1_funct_1(k31_modelc_2(A),k1_binop_1(k39_modelc_2(A),k1_funct_1(k31_modelc_2(A),D),k1_funct_1(k31_modelc_2(A),E))) ) & ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(k25_modelc_2(A))) & r2_tarski(E,k30_modelc_1(k25_modelc_2(A))) ) => k1_binop_1(C,D,E) = k1_funct_1(k31_modelc_2(A),k1_binop_1(k39_modelc_2(A),k1_funct_1(k31_modelc_2(A),D),k1_funct_1(k31_modelc_2(A),E))) ) ) => r2_funct_2(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(l143_toprealb,axiom,( v1_funct_1(c51__toprealb) & v1_funct_2(c51__toprealb,u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))) & v5_pre_topc(c51__toprealb,k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb)),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb))))) & m1_subset_1(c51__toprealb,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k2_xcmplx_0(k7_xcmplx_0(1,2),c5__toprealb)))))))) )).
fof(l143_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( ~ r2_hidden(A,C) & ~ r2_hidden(B,C) & ~ r1_xboole_0(k2_tarski(A,B),C) ) )).
fof(l144_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [G] : ( m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ( ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & k1_funct_1(H,C) = k5_numbers & k1_funct_1(H,E) = 1 & k1_funct_1(H,F) = 2 & k1_funct_1(H,G) = 3 ) => ! [H] : ( m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E) = k21_aofa_i00(B,k4_numbers,H,F) & k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F) = k5_int_1(k21_aofa_i00(B,k4_numbers,H,E),k21_aofa_i00(B,k4_numbers,H,F)) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( J = k21_aofa_i00(B,k4_numbers,H,F) & ~ ( r2_tarski(H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & r1_xxreal_0(J,k5_numbers) ) & ( ~ r1_xxreal_0(J,k5_numbers) => r2_tarski(H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) & ~ r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers)),k9_funct_2(B,k4_numbers),H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l144_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_funct_2(A,B))) => m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ) )).
fof(l144_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k32_fomodel4(A),A) ) )).
fof(l144_jordan,axiom,( r2_tarski(k19_euclid(k5_numbers,k4_xcmplx_0(3)),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l144_toprealb,axiom,( k1_relset_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c45__toprealb))) = c45__toprealb )).
fof(l144_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => r1_tarski(u1_struct_0(k6_zmodul01(A,C,k7_zmodul01(A,B,D))),u1_struct_0(k7_zmodul01(A,k6_zmodul01(A,B,C),k6_zmodul01(A,C,D)))) ) ) ) ) )).
fof(l145_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k33_fomodel4(A),A) ) )).
fof(l145_jordan,axiom,( k1_square_1(k2_xcmplx_0(2,1)) = k2_xcmplx_0(k2_xcmplx_0(4,4),1) )).
fof(l145_toprealb,axiom,( r1_tarski(k2_relset_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c45__toprealb))),c46__toprealb) )).
fof(l146_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ~ ( ( r2_tarski(C,A) => r2_tarski(D,A) ) & ( r2_tarski(D,A) => r2_tarski(C,A) ) & ~ r2_hidden(k4_tarski(k3_funct_2(B,k5_margrel1,k10_fomodel0(A,B),C),k3_funct_2(B,k5_margrel1,k10_fomodel0(A,B),D)),k6_partfun1(k5_margrel1)) ) ) ) ) )).
fof(l146_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k34_fomodel4(A),A) ) )).
fof(l146_jordan,axiom,( k3_square_1(9) = 3 )).
fof(l146_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => k24_quaterni(B,C) = k21_quaterni(k24_quaterni(B,A),k24_quaterni(A,C)) ) ) ) )).
fof(l146_toprealb,axiom,( v1_funct_1(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c45__toprealb))) & v1_funct_2(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c45__toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c45__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb)))) & m1_subset_1(k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))),c33__toprealb,k5_toprealb(c45__toprealb)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c45__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb)))))) )).
fof(l146_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( m1_zmodul01(B,C) => u1_struct_0(k6_zmodul01(A,C,k7_zmodul01(A,B,D))) = u1_struct_0(k7_zmodul01(A,k6_zmodul01(A,B,C),k6_zmodul01(A,C,D))) ) ) ) ) ) )).
fof(l147_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [G] : ( m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ( ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & k1_funct_1(H,C) = k5_numbers & k1_funct_1(H,E) = 1 & k1_funct_1(H,F) = 2 & k1_funct_1(H,G) = 3 ) => ! [H] : ( m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E) = k21_aofa_i00(B,k4_numbers,H,F) & k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F) = k1_int_2(k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,H,E),k21_aofa_i00(B,k4_numbers,H,F))) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( ( I = k21_aofa_i00(B,k4_numbers,H,E) & J = k21_aofa_i00(B,k4_numbers,H,F) ) => ( ( r2_tarski(H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & r1_xxreal_0(J,k5_numbers) ) | ( ~ r1_xxreal_0(J,k5_numbers) & ~ r2_tarski(H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) | r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers)),k9_funct_2(B,k4_numbers),H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l147_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v16_fomodel4(k35_fomodel4(A),A) ) )).
fof(l147_jordan,axiom,( k1_topreal6(2,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) = k4_xcmplx_0(k4_xcmplx_0(2)) )).
fof(l147_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))) = k1_rcomp_1(k4_xcmplx_0(1),1) )).
fof(l148_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v13_o_ring_1(C,A) ) => v13_o_ring_1(k6_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l148_toprealb,axiom,( m1_subset_1(k5_toprealb(c45__toprealb),k1_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1)))))) )).
fof(l149_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k5_relat_1(C,k6_subset_1(A,B)) = k6_subset_1(k5_relat_1(C,A),k2_zfmisc_1(B,k10_xtuple_0(C))) ) )).
fof(l149_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))) = k1_rcomp_1(k5_numbers,k28_sin_cos) )).
fof(l14_afvect01,axiom,( ! [A] : ! [B] : ( r2_hidden(k4_tarski(A,B),c4__afvect01) <=> ( r2_hidden(A,k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))) & r2_hidden(B,k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))) & ? [C] : ( m1_subset_1(C,u1_struct_0(o_0_0_afvect01)) & ? [D] : ( m1_subset_1(D,u1_struct_0(o_0_0_afvect01)) & ? [E] : ( m1_subset_1(E,u1_struct_0(o_0_0_afvect01)) & ? [F] : ( m1_subset_1(F,u1_struct_0(o_0_0_afvect01)) & A = k4_tarski(C,D) & B = k4_tarski(E,F) & r2_diraf(o_0_0_afvect01,C,D,E,F) ) ) ) ) ) ) )).
fof(l14_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_3)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_3)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_algstr_3)) => ( k1_algstr_3(k3_algstr_3,A,B,C) = k1_algstr_3(k3_algstr_3,A,B,D) => C = D ) ) ) ) ) )).
fof(l14_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => ( ! [C] : ( m1_subset_1(C,k5_arytm_3) => ( ~ ( ~ r3_arytm_3(A,C) & r3_arytm_3(B,C) ) & ~ ( ~ r3_arytm_3(B,C) & r3_arytm_3(A,C) ) ) ) => A = B ) ) ) )).
fof(l14_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(k5_numbers,C) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k2_power(A,C),k2_power(B,C)) ) ) ) ) ) )).
fof(l14_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k2_binom(A,B,k1_nat_1(C,D)) = k6_algstr_0(A,k2_binom(A,B,C),k2_binom(A,B,D)) ) ) ) ) )).
fof(l14_brouwer2,axiom,( v1_xreal_0(1) )).
fof(l14_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r2_tarski(B,k1_relset_1(k1_euclid(2),A)) => k1_funct_1(k3_pdiff_1(2,A),B) = k9_finseq_1(k1_funct_1(A,B)) ) ) ) )).
fof(l14_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => k12_supinf_2(A,C) = k12_supinf_2(B,C) ) ) ) => k4_extreal1(A) = k18_rvsum_1(B) ) ) ) )).
fof(l14_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) => v2_cqc_the1(k8_cqc_lang(A,k9_cqc_lang(A,B,D),k9_cqc_lang(A,C,D)),A) ) ) ) ) ) )).
fof(l14_csspace2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => k5_algstr_0(k16_csspace,A,B) = k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(A),k2_csspace(B)) ) ) )).
fof(l14_dblseq_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( v1_dblseq_1(k8_funcop_1(k1_numbers,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A)) & v2_dblseq_1(k8_funcop_1(k1_numbers,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A)) & v3_dblseq_1(k8_funcop_1(k1_numbers,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A)) ) ) )).
fof(l14_dtconstr,axiom,( r1_lang1(k5_dtconstr,c3__dtconstr,k3_pre_poly(u1_struct_0(k5_dtconstr),c2__dtconstr)) )).
fof(l14_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => ( ( k2_xfamily(B) = k2_xfamily(C) & k3_ens_1(A,B) = k3_ens_1(A,C) & k4_ens_1(A,B) = k4_ens_1(A,C) ) => B = C ) ) ) ) )).
fof(l14_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k12_rvsum_1(k3_euclid(A)) = k12_rvsum_1(A) ) )).
fof(l14_euclid10,axiom,( ~ r1_xxreal_0(k28_sin_cos,k4_euclid_3(k19_euclid(k5_ordinal1,k5_ordinal1),k19_euclid(k5_ordinal1,1),k19_euclid(k7_xcmplx_0(k3_square_1(3),2),k7_xcmplx_0(1,2)))) )).
fof(l14_euclid_6,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_comptrig(B),k1_comptrig(A))) => ( B = k5_numbers | k3_complex2(A,B) = k6_xcmplx_0(k1_comptrig(B),k1_comptrig(A)) ) ) ) ) )).
fof(l14_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_fdiff_1(B,A) & r1_fdiff_1(C,k1_funct_1(B,A)) ) => ( ! [D] : ( m1_rcomp_1(D,A) => ~ r1_tarski(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) | ( r1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) & k1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) = k3_xcmplx_0(k1_fdiff_1(C,k1_funct_1(B,A)),k1_fdiff_1(B,A)) ) ) ) ) ) ) )).
fof(l14_fib_fusc,axiom,( k10_ami_3(1) != k10_ami_3(4) )).
fof(l14_finance2,axiom,( ? [A] : ( v5_relat_1(A,k12_prob_1) & v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k1_numbers),A,B) = k1_seq_4(B) ) ) )).
fof(l14_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v2_binop_1(D,A) & v1_binop_1(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(E,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => ( ( r1_xxreal_0(1,k3_finseq_1(B)) & k3_finseq_1(B) = k3_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,F) = k1_funct_1(B,k1_funct_1(E,F)) ) ) ) => k1_finsop_1(A,B,D) = k1_finsop_1(A,C,D) ) ) ) ) ) ) ) )).
fof(l14_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => ! [E] : ( ( v13_fomodel1(E,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( k1_funct_1(k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),k7_fomodel2(A,B,C,D),k1_nat_1(F,1)),E) = k1_funct_1(k4_fomodel2(A,B,D,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),E)),k3_relat_1(k33_fomodel1(A,E),k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),k7_fomodel2(A,B,C,D),F))) & ( v14_fomodel1(E,k5_numbers,A) => k1_funct_1(k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),k7_fomodel2(A,B,C,D),k1_nat_1(F,1)),E) = k1_funct_1(k4_fomodel2(A,B,D,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),E)),k1_xboole_0) ) ) ) ) ) ) ) ) )).
fof(l14_fomodel3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( v1_partfun1(k9_fomodel3(B,C,A),k4_finseq_2(A,B)) & v8_relat_2(k9_fomodel3(B,C,A)) & m1_subset_1(k9_fomodel3(B,C,A),k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),k4_finseq_2(A,B)))) ) ) ) ) )).
fof(l14_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k10_funcop_1(u1_struct_0(A),u1_struct_0(A),u2_algstr_0(A),C,k6_partfun1(u1_struct_0(A))),B) = k6_algstr_0(A,C,B) ) ) ) )).
fof(l14_gaussint,axiom,( ~ v2_struct_0(k5_gaussint) & v13_algstr_0(k5_gaussint) & v2_rlvect_1(k5_gaussint) & v3_rlvect_1(k5_gaussint) & v4_rlvect_1(k5_gaussint) & v2_zmodul01(k5_gaussint) & v3_zmodul01(k5_gaussint) & v4_zmodul01(k5_gaussint) & v5_zmodul01(k5_gaussint) & l1_zmodul01(k5_gaussint) )).
fof(l14_gfacirc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [D] : ! [E] : ! [F] : ~ ( D != k4_tarski(k10_finseq_1(E,F),B) & E != k4_tarski(k10_finseq_1(F,D),C) & F != k4_tarski(k10_finseq_1(D,E),A) & ~ ( ~ r2_hidden(k4_tarski(k10_finseq_1(D,E),A),k2_tarski(E,F)) & ~ r2_tarski(F,k2_tarski(k4_tarski(k10_finseq_1(D,E),A),k4_tarski(k10_finseq_1(E,F),B))) & ~ r2_tarski(D,k2_tarski(k4_tarski(k10_finseq_1(D,E),A),k4_tarski(k10_finseq_1(E,F),B))) & ~ r2_hidden(k4_tarski(k10_finseq_1(F,D),C),k1_enumset1(D,E,F)) ) ) ) ) ) )).
fof(l14_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( r5_glib_000(k13_glib_000(A,k2_glib_003,B),A) & r5_glib_000(k13_glib_000(A,k3_glib_003,B),A) & r5_glib_000(k13_glib_000(A,k4_glib_003,B),A) ) ) )).
fof(l14_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_7_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l14_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => m1_group_6(B,A,k7_group_2(A)) ) ) )).
fof(l14_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_group_4(A,k5_finseq_2(u1_struct_0(A),k5_numbers,B)) = k5_group_1(A,B,k5_numbers) ) ) )).
fof(l14_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_partit_2(A) => r1_tarski(k7_relat_1(A,k3_hilbert4(A)),k4_hilbert4(A)) ) ) )).
fof(l14_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_aff_1(A,D,B,C) & v4_aff_2(A) ) => ( D = B | D = C | ( ~ ( ~ r1_aff_1(A,D,B,F) & r1_aff_1(A,D,F,G) & r2_analoaf(A,B,F,C,G) ) & ~ ( r1_aff_1(A,D,B,F) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ~ r1_aff_1(A,D,B,H) & r1_aff_1(A,D,H,I) & r2_analoaf(A,B,H,C,I) & r2_analoaf(A,H,F,I,G) & r1_aff_1(A,D,B,G) ) ) ) ) | ( ~ ( ~ r1_aff_1(A,D,B,E) & r1_aff_1(A,D,E,G) & r2_analoaf(A,B,E,C,G) ) & ~ ( r1_aff_1(A,D,B,E) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ~ r1_aff_1(A,D,B,H) & r1_aff_1(A,D,H,I) & r2_analoaf(A,B,H,C,I) & r2_analoaf(A,H,E,I,G) & r1_aff_1(A,D,B,G) ) ) ) ) | F = E ) ) ) ) ) ) ) ) ) )).
fof(l14_index_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [E] : ( m3_index_1(E,A,B,C,D) => ? [F] : ( ~ v2_struct_0(F) & ~ v11_struct_0(F) & v1_cat_1(F) & v2_cat_1(F) & v3_cat_1(F) & v4_cat_1(F) & v5_cat_1(F) & v6_cat_1(F) & v3_cat_5(F) & v4_cat_5(F) & l1_cat_1(F) & ! [G] : ( m1_subset_1(G,A) => m1_subset_1(k2_index_1(A,k1_xfamily(E),G),u1_struct_0(F)) ) & ! [G] : ( m1_subset_1(G,B) => m1_subset_1(k4_tarski(k4_tarski(k2_index_1(A,k1_xfamily(E),k3_funct_2(B,A,C,G)),k2_index_1(A,k1_xfamily(E),k3_funct_2(B,A,D,G))),k7_index_1(B,k3_relat_1(C,k1_xfamily(E)),k3_relat_1(D,k1_xfamily(E)),k8_index_1(A,B,C,D,E),G)),u4_struct_0(F)) ) ) ) ) ) ) ) )).
fof(l14_int_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_1(A,B) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(A,B) ) ) ) ) )).
fof(l14_int_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( D != k4_struct_0(A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( C = k1_algstr_0(A,k8_group_1(A,E,D),F) & ~ ( F != k4_struct_0(A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k4_ordinal1,B,D),k3_funct_2(u1_struct_0(A),k4_ordinal1,B,F)) ) ) ) ) ) ) ) ) ) )).
fof(l14_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ( ( v1_int_7(B) & r1_int_1(A,k8_nat_3(k8_newton,B)) ) => r2_tarski(A,k22_pre_poly(k8_newton,B)) ) ) ) )).
fof(l14_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) => r1_xxreal_0(k3_seq_4(k1_rvsum_1(B)),k2_seq_4(k1_rvsum_1(B))) ) ) ) )).
fof(l14_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => m1_subset_1(a_4_5_jordan1(A,B,C,D),k1_zfmisc_1(k1_euclid(2))) ) ) ) ) )).
fof(l14_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(2,B) => k3_xcmplx_0(k7_xcmplx_0(C,k1_newton(2,A)),k6_xcmplx_0(B,2)) = k3_xcmplx_0(k7_xcmplx_0(C,k11_newton(2,k1_nat_1(A,1))),k6_xcmplx_0(k7_nat_d(k3_xcmplx_0(2,B),2),2)) ) ) ) ) )).
fof(l14_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_lopban_7(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_lopban_7(A,B,C))) => ! [F] : ( v1_xreal_0(F) => ( ( k2_normsp_0(k5_lopban_7(A,B,C),D) = k5_numbers => D = k4_struct_0(k5_lopban_7(A,B,C)) ) & ( D = k4_struct_0(k5_lopban_7(A,B,C)) => k2_normsp_0(k5_lopban_7(A,B,C),D) = k5_numbers ) & r1_xxreal_0(k5_numbers,k2_normsp_0(k5_lopban_7(A,B,C),D)) & r1_xxreal_0(k2_normsp_0(k5_lopban_7(A,B,C),k3_rlvect_1(k5_lopban_7(A,B,C),D,E)),k2_xcmplx_0(k2_normsp_0(k5_lopban_7(A,B,C),D),k2_normsp_0(k5_lopban_7(A,B,C),E))) & k2_normsp_0(k5_lopban_7(A,B,C),k1_rlvect_1(k5_lopban_7(A,B,C),D,F)) = k3_xcmplx_0(k9_complex1(F),k2_normsp_0(k5_lopban_7(A,B,C),D)) ) ) ) ) ) ) ) )).
fof(l14_lpspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),B)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) ) ) )).
fof(l14_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,E,k8_cqc_lang(A,k8_cqc_lang(A,C,B),B)),D),k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),C),D)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l14_measure7,axiom,( v1_funct_1(k7_funcop_1(k4_ordinal1,k1_numbers)) & v1_funct_2(k7_funcop_1(k4_ordinal1,k1_numbers),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k7_funcop_1(k4_ordinal1,k1_numbers),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) )).
fof(l14_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_metric_2(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(l14_metrizts,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( v3_pre_topc(a_3_0_metrizts(A,B,C),k3_pcomps_1(A)) & m1_subset_1(a_3_0_metrizts(A,B,C),k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) ) ) ) )).
fof(l14_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_mfold_0(A) & ~ v3_mfold_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_pre_topc(A,k2_mfold_0(A)))) => ( B = C => ! [D] : ( m1_connsp_2(D,A,B) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k2_brouwer(E,k4_struct_0(k15_euclid(E)),1))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k2_brouwer(E,k4_struct_0(k15_euclid(E)),1))))) ) => ~ ( v3_tops_2(F,k1_pre_topc(A,D),k2_brouwer(E,k4_struct_0(k15_euclid(E)),1)) & r2_tarski(k1_funct_1(F,B),k3_topreal9(E,k4_struct_0(k15_euclid(E)),1)) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_connsp_2(H,k1_pre_topc(A,k2_mfold_0(A)),C) => ~ ( k1_nat_1(G,1) = E & r2_borsuk_3(k1_pre_topc(k1_pre_topc(A,k2_mfold_0(A)),H),k1_mfold_1(G,k4_struct_0(k15_euclid(G)),1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l14_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v3_modelc_2(A) | v6_modelc_2(A) ) => m1_subset_1(k1_tarski(k10_modelc_2(A)),k1_zfmisc_1(k13_modelc_2(A))) ) ) )).
fof(l14_moebius2,axiom,( r1_nat_d(2,k2_nat_1(2,4)) )).
fof(l14_msalimit,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_struct_0(A) & l1_msualg_1(A) ) => r3_pua2mss1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u4_struct_0(A))) ) )).
fof(l14_msualg_1,axiom,( m1_subset_1(k5_numbers,k1_tarski(k5_numbers)) )).
fof(l14_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => m1_msualg_2(g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)),A,B) ) ) )).
fof(l14_nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ ( ~ v1_int_2(A) & ~ r1_xxreal_0(A,1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_nat_d(B,A) & ~ r1_xxreal_0(B,1) & r1_xxreal_0(k2_nat_1(B,B),A) & v1_int_2(B) ) ) ) & ~ ( ~ ( ~ r1_xxreal_0(A,1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_nat_d(B,A) & ~ r1_xxreal_0(B,1) & r1_xxreal_0(k2_nat_1(B,B),A) & v1_int_2(B) ) ) ) & v1_int_2(A) ) ) ) )).
fof(l14_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k2_xcmplx_0(k1_newton(A,D),k1_newton(B,D)),k1_newton(k2_xcmplx_0(A,C),D)) & ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) & r1_xxreal_0(C,k5_ordinal1) ) ) ) ) ) )).
fof(l14_numbers,axiom,( ! [A] : ( ( v3_ordinal1(A) & m1_subset_1(A,k5_arytm_3) ) => ! [B] : ( ( v3_ordinal1(B) & m1_subset_1(B,k5_arytm_3) ) => ~ ( r2_tarski(A,B) & r3_arytm_3(B,A) ) ) ) )).
fof(l14_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v4_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l14_oposet_1,axiom,( v5_orders_2(k1_oposet_1) )).
fof(l14_ordinal3,axiom,( 1 = k1_ordinal1(k5_ordinal1) )).
fof(l14_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_algstr_0(A,B,k3_rlvect_1(A,k3_rlvect_1(A,B,C),k4_algstr_0(A,D))) = k5_algstr_0(A,D,C) ) ) ) ) )).
fof(l14_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( k8_group_1(A,C,k5_algstr_0(A,B,D)) = k5_algstr_0(A,E,F) & F = k5_algstr_0(A,k3_rlvect_1(A,B,D),E) ) => k8_group_1(A,k5_algstr_0(A,C,k1_group_1(A)),k5_algstr_0(A,E,D)) = k8_group_1(A,k3_rlvect_1(A,C,k1_group_1(A)),k5_algstr_0(A,E,B)) ) ) ) ) ) ) ) )).
fof(l14_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ( v2_bvfunc_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ( ( r1_tarski(C,B) & r1_tarski(D,B) ) => r1_relset_1(A,A,k4_relset_1(A,A,A,A,k4_partit1(A,k2_bvfunc_2(A,C)),k4_partit1(A,k2_bvfunc_2(A,D))),k4_relset_1(A,A,A,A,k4_partit1(A,k2_bvfunc_2(A,D)),k4_partit1(A,k2_bvfunc_2(A,C)))) ) ) ) ) ) ) )).
fof(l14_pdiff_1,axiom,( v1_funct_1(k2_funct_1(k1_pdiff_1(1,1))) & v1_funct_2(k2_funct_1(k1_pdiff_1(1,1)),k1_numbers,k1_euclid(1)) & m1_subset_1(k2_funct_1(k1_pdiff_1(1,1)),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(1)))) )).
fof(l14_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => k3_finseq_1(k1_funct_7(B,D,C)) = A ) ) ) ) )).
fof(l14_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( E != k2_polynom7(A,B,D) => k4_polynom1(A,B,D,E) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(l14_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_projdes1(A,B,C,D,E) & r1_projdes1(A,B,C,D,F) & r1_projdes1(A,B,C,D,G) ) => ( r1_collsp(A,B,C,D) | r1_projdes1(A,B,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(l14_qmax_1,axiom,( k10_xtuple_0(k6_domain_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))),k1_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),c3__qmax_1))) = k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),c3__qmax_1) & r2_tarski(c3__qmax_1,k1_qmax_1(k1_numbers,k12_prob_1)) )).
fof(l14_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ( k27_quaterni(A) = k5_numbers => A = k5_numbers ) ) )).
fof(l14_quaterni,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => k5_quaterni(A,B,k5_numbers,k5_numbers) = k5_arytm_0(A,B) ) ) )).
fof(l14_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ! [E] : ( ( r2_tarski(D,B) & r2_tarski(E,B) & r1_tarski(D,E) ) => ( r1_xxreal_0(k1_xxreal_0,k12_supinf_2(C,E)) | r2_tarski(k12_supinf_2(C,D),k1_numbers) ) ) ) ) ) )).
fof(l14_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [D] : ( m2_finseq_1(D,B) => ! [E] : ( m2_finseq_1(E,B) => ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( m2_finseq_1(G,A) => ( ( r2_relset_1(k4_ordinal1,A,F,k1_partfun1(k4_ordinal1,B,B,A,D,C)) & r2_relset_1(k4_ordinal1,A,G,k1_partfun1(k4_ordinal1,B,B,A,E,C)) ) => r2_relset_1(k4_ordinal1,A,k1_partfun1(k4_ordinal1,B,B,A,k8_finseq_1(B,D,E),C),k8_finseq_1(A,F,G)) ) ) ) ) ) ) ) ) )).
fof(l14_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( m2_prob_1(D,B,C) => v4_random_3(k8_funcop_1(k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers)),A,D),B,C) ) ) ) ) )).
fof(l14_realset2,axiom,( k4_binop_1(2,k1_realset2,k10_subset_1(1,2),k10_subset_1(k5_numbers,2)) = k10_subset_1(1,2) )).
fof(l14_rearran1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_finseq_1(C,k1_zfmisc_1(B)) => ( r2_tarski(A,k4_finseq_1(C)) => r1_tarski(k1_funct_1(C,A),B) ) ) ) ) )).
fof(l14_rfunct_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( r1_rfunct_4(B,C) => ( r1_xxreal_0(A,k5_numbers) | r1_rfunct_4(k26_valued_1(k1_numbers,k1_numbers,B,A),C) ) ) ) ) )).
fof(l14_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_ringcat1(C,A,B) => m1_ringcat1(g1_ringcat1(A,B,C),A,B) ) ) ) ) )).
fof(l14_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k6_rusub_4(A,D,B),k6_rusub_4(A,D,C)) ) ) ) ) ) )).
fof(l14_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ~ r1_xxreal_0(k4_card_1(A),k5_numbers) ) )).
fof(l14_scmfsa8a,axiom,( ! [A] : ( v7_ordinal1(A) => ( k2_afinsq_1(k9_compos_1(k1_scmfsa_2,k11_scmfsa_2(A))) = k1_tarski(k5_numbers) & r2_tarski(k5_numbers,k2_afinsq_1(k9_compos_1(k1_scmfsa_2,k11_scmfsa_2(A)))) & k1_funct_1(k9_compos_1(k1_scmfsa_2,k11_scmfsa_2(A)),k5_numbers) = k11_scmfsa_2(A) & k4_card_1(k9_compos_1(k1_scmfsa_2,k11_scmfsa_2(A))) = 1 & ~ r2_tarski(k2_compos_1(k1_scmfsa_2),k10_xtuple_0(k9_compos_1(k1_scmfsa_2,k11_scmfsa_2(A)))) ) ) )).
fof(l14_scmfsa8b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ( k1_funct_1(k1_scmfsa8b(A,B,C),k5_numbers) = k12_scmfsa_2(k1_nat_1(k4_card_1(C),3),A) & k1_funct_1(k1_scmfsa8b(A,B,C),1) = k11_scmfsa_2(2) & k1_funct_1(k2_scmfsa8b(A,B,C),k5_numbers) = k13_scmfsa_2(k1_nat_1(k4_card_1(C),3),A) & k1_funct_1(k2_scmfsa8b(A,B,C),1) = k11_scmfsa_2(2) ) ) ) ) )).
fof(l14_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k6_sf_mastr(k1_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers)))) = k6_sf_mastr(k1_funct_7(k1_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(B),2),k11_scmfsa_2(k5_numbers))) ) ) )).
fof(l14_scmfsa_1,axiom,( r1_subset_1(k3_scmfsa_1,k1_ami_2) )).
fof(l14_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k1_funct_1(k6_scmpds_4(k2_scpinvar(C),B,A),k1_scmp_gcd(1)) = k1_pre_ff(C) & k1_funct_1(k6_scmpds_4(k2_scpinvar(C),B,A),k1_scmp_gcd(2)) = k1_pre_ff(k1_nat_1(C,1)) & r2_scmpds_6(k2_scpinvar(C),B,A) ) ) ) ) )).
fof(l14_scpisort,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k61_valued_1(k3_scmpds_4(A,k11_scmpds_2(B,C,k4_xcmplx_0(D))),1),k2_scmpds_7(B,C,D,A)) ) ) ) ) )).
fof(l14_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k3_xcmplx_0(k11_newton(k1_nat_1(A,1),2),k6_xcmplx_0(k2_nat_1(2,k11_newton(k1_nat_1(A,1),2)),1)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(A,2),k1_newton(A,2)),2),k3_xcmplx_0(k6_xcmplx_0(12,1),k1_newton(A,2))),k3_xcmplx_0(8,k1_newton(A,3))),k3_xcmplx_0(6,A)),1) ) )).
fof(l14_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(B,C),A),k7_xcmplx_0(k3_xcmplx_0(C,A),B)) = k1_square_1(C) ) ) ) )).
fof(l14_setlim_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( v3_funct_1(C) & k3_funct_1(C) = B ) => ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(C,D) = B & k1_kurato_0(A,C) = B & k3_prob_1(A,C) = B ) ) ) ) ) )).
fof(l14_sin_cos6,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),1)),k2_xcmplx_0(k5_numbers,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),1))) )).
fof(l14_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_finseq_1(C,B) => ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_eqrel_1(D,k1_setfam_1(k2_relset_1(B,C))) ) ) ) )).
fof(l14_srings_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => a_4_8_srings_2(A,B,C,D) = a_4_6_srings_2(A,B,C,D) ) ) ) ) )).
fof(l14_taxonom2,axiom,( ! [A] : ! [B] : ( ( r2_tarski(A,k1_tarski(k1_xboole_0)) & r2_tarski(B,k1_tarski(k1_xboole_0)) ) => ( A = B | r1_xboole_0(A,B) ) ) )).
fof(l14_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v7_ordinal1(k2_xcmplx_0(k2_topdim_1(A,B),1)) ) ) )).
fof(l14_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_topdim_1(B,A) & v1_topdim_1(C,A) & v5_waybel23(k1_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))) ) => ( v1_topdim_1(k4_subset_1(u1_struct_0(A),B,C),A) & r1_xxreal_0(k2_topdim_1(A,k4_subset_1(u1_struct_0(A),B,C)),k1_xxreal_3(k1_xxreal_3(k2_topdim_1(A,B),k2_topdim_1(A,C)),1)) ) ) ) ) ) )).
fof(l14_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( v1_tops_2(D,A) & v1_yellow_8(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ~ ( r2_tarski(E,D) & r1_xboole_0(E,B) ) ) => r2_tarski(C,k2_pre_topc(A,B)) ) ) ) ) )).
fof(l14_topreal2,axiom,( ~ r2_tarski(k19_euclid(k5_numbers,1),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers))) )).
fof(l14_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( v11_aff_2(A) & r1_aff_1(A,B,C,H) & r2_analoaf(A,B,C,D,F) & r2_analoaf(A,B,C,E,G) & r2_analoaf(A,B,D,C,F) & r2_analoaf(A,B,E,C,G) & r2_analoaf(A,D,F,H,I) & r2_analoaf(A,E,G,H,J) & r2_analoaf(A,D,H,F,I) & r2_analoaf(A,E,H,G,J) ) => ( B = C | r1_aff_1(A,B,C,D) | r1_aff_1(A,B,C,E) | r1_aff_1(A,D,F,E) | I = J ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l14_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_waybel35(C,A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) => ~ ( r1_yellow_0(A,D) & v2_waybel35(C,A,B) & ~ r2_tarski(k1_yellow_0(A,D),C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,C) & r2_orders_2(A,k1_yellow_0(A,D),E) & ~ r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k1_yellow_0(A,D),E),B) & ? [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_0(A,C))) & E = F & r2_lattice3(k5_yellow_0(A,C),D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k5_yellow_0(A,C))) => ( r2_lattice3(k5_yellow_0(A,C),D,G) => r3_orders_2(k5_yellow_0(A,C),F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(l14_xcmplx_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ( k1_arytm_0(A,B) = k5_numbers & k1_arytm_0(A,C) = k5_numbers ) => B = C ) ) ) ) )).
fof(l14_xreal_0,axiom,( ? [A] : ( m1_subset_1(A,k1_numbers) & ? [B] : ( m1_subset_1(B,k1_numbers) & ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( m1_subset_1(D,k1_numbers) & 1 = k5_arytm_0(A,B) & k4_xcmplx_0(1) = k5_arytm_0(C,D) & k5_numbers = k5_arytm_0(k1_arytm_0(A,C),k1_arytm_0(B,D)) ) ) ) ) )).
fof(l150_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k1_funct_4(A,B) = k2_xboole_0(k6_subset_1(A,k2_zfmisc_1(k9_xtuple_0(B),k10_xtuple_0(A))),B) ) ) )).
fof(l150_jordan,axiom,( r1_tarski(k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3),k2_jgraph_6(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l150_toprealb,axiom,( m1_subset_1(k5_toprealb(c46__toprealb),k1_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos)))))) )).
fof(l151_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : k3_xboole_0(A,C) = k6_subset_1(A,k6_subset_1(k2_xboole_0(A,B),C)) )).
fof(l151_jordan,axiom,( k18_euclid(k19_euclid(k4_xcmplx_0(1),3)) = k18_euclid(k19_euclid(k4_xcmplx_0(1),3)) )).
fof(l151_toprealb,axiom,( k1_pre_topc(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k4_xcmplx_0(1),1))),c55__toprealb) = k1_pre_topc(k2_topalg_2,k5_toprealb(c45__toprealb)) )).
fof(l152_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,B,k1_bvfunc_1(A,C)),k2_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k2_bvfunc_1(A,D,k1_bvfunc_1(A,B))),k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,C,k1_bvfunc_1(A,B)),k2_bvfunc_1(A,D,k1_bvfunc_1(A,C))),k2_bvfunc_1(A,B,k1_bvfunc_1(A,D)))) ) ) ) ) )).
fof(l152_jordan,axiom,( r1_xxreal_0(k17_euclid(k19_euclid(k4_xcmplx_0(1),3)),k17_euclid(k19_euclid(k5_numbers,3))) )).
fof(l152_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & v5_modelc_3(A) & m2_finseq_1(A,k4_ordinal1) ) => k48_modelc_2(k13_modelc_3(A,k7_modelc_3(A))) = k1_xboole_0 ) )).
fof(l152_toprealb,axiom,( k1_pre_topc(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_rcomp_1(k5_numbers,k28_sin_cos))),c56__toprealb) = k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb)) )).
fof(l153_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k5_relat_1(B,k6_subset_1(k9_xtuple_0(B),A)) = k6_subset_1(B,k2_zfmisc_1(A,k10_xtuple_0(B))) ) )).
fof(l153_jordan,axiom,( r1_xxreal_0(k17_euclid(k19_euclid(k5_numbers,3)),k17_euclid(k19_euclid(1,3))) )).
fof(l153_toprealb,axiom,( v5_pre_topc(c54__toprealb,k1_pre_topc(k2_topalg_2,k5_toprealb(c45__toprealb)),k1_pre_topc(k2_topalg_2,k5_toprealb(c46__toprealb))) )).
fof(l154_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,k1_bvfunc_1(A,C)),k5_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k5_bvfunc_1(A,D,k1_bvfunc_1(A,B))),k2_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,C,k1_bvfunc_1(A,B)),k5_bvfunc_1(A,D,k1_bvfunc_1(A,C))),k5_bvfunc_1(A,B,k1_bvfunc_1(A,D)))) ) ) ) ) )).
fof(l154_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(k5_numbers,3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3))) )).
fof(l154_toprealb,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k11_toprealb(k10_toprealb)))) => ( A = a_0_4_toprealb => v5_pre_topc(k2_tmap_1(k11_toprealb(k10_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))),k15_toprealb,k1_pre_topc(k11_toprealb(k10_toprealb),A)),k1_pre_topc(k11_toprealb(k10_toprealb),A),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2))))) ) ) )).
fof(l155_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( v4_funct_1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k40_fomodel2(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(A)))) ) => ( ( v7_fomodel4(B,A) & r2_tarski(k25_fomodel4(A),B) & r2_tarski(k35_fomodel4(A),B) & r2_tarski(k26_fomodel4(A),B) & r2_tarski(k32_fomodel4(A),B) ) => ( v1_finset_1(k7_subset_1(k15_fomodel1(A),k16_fomodel1(A),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(A)),C,k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))))) | v10_fomodel4(C,A,B) | v1_cohsp_1(k10_xtuple_0(k44_fomodel4(C,A,B,D))) ) ) ) ) ) ) )).
fof(l155_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(k5_numbers,3)),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l155_toprealb,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k11_toprealb(k10_toprealb)))) => ( A = a_0_5_toprealb => v5_pre_topc(k2_tmap_1(k11_toprealb(k10_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))),k15_toprealb,k1_pre_topc(k11_toprealb(k10_toprealb),A)),k1_pre_topc(k11_toprealb(k10_toprealb),A),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2))))) ) ) )).
fof(l155_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(B,C) ) => B = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) ) )).
fof(l156_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_absred_0(A,B,C) => r7_absred_0(A,B,C) ) ) ) ) )).
fof(l156_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(k5_numbers,3)),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(1,3))) )).
fof(l156_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k11_toprealb(k10_toprealb))) => ( A = k9_toprealb => r1_tmap_1(k11_toprealb(k10_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)))),k15_toprealb,A) ) ) )).
fof(l156_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( k6_zmodul01(A,B,C) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,E) & r1_struct_0(C,F) & D = k3_rlvect_1(A,E,F) ) ) ) ) ) ) ) )).
fof(l157_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r10_absred_0(A,B,C) => r7_absred_0(A,B,C) ) ) ) ) )).
fof(l157_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( v4_funct_1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k40_fomodel2(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(A)))) ) => ~ ( v7_fomodel4(B,A) & r2_tarski(k25_fomodel4(A),B) & r2_tarski(k26_fomodel4(A),B) & r2_tarski(k32_fomodel4(A),B) & r2_tarski(k35_fomodel4(A),B) & ~ v1_finset_1(k7_subset_1(k15_fomodel1(A),k16_fomodel1(A),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(A)),C,k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))))) & ~ v10_fomodel4(C,A,B) & v10_fomodel4(k45_fomodel4(C,A,B,D),A,B) ) ) ) ) ) )).
fof(l157_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(k5_numbers,3)),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l157_modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( r2_tarski(B,k30_modelc_1(A)) & r2_tarski(C,k30_modelc_1(A)) & r2_funct_2(A,k5_margrel1,k31_modelc_1(A,B),k31_modelc_1(A,C)) ) => B = C ) ) )).
fof(l157_toprealb,axiom,( v5_pre_topc(k15_toprealb,k11_toprealb(k10_toprealb),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2))))) )).
fof(l158_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v11_absred_0(A) => v10_absred_0(A) ) ) )).
fof(l158_jordan,axiom,( k18_euclid(k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))) = k18_euclid(k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))) )).
fof(l158_toprealb,axiom,( v1_t_0topsp(k13_toprealb(k4_toprealb(k5_numbers)),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k4_toprealb(k5_numbers),k2_xcmplx_0(k4_toprealb(k5_numbers),1)))),k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k4_toprealb(k5_numbers)))) )).
fof(l159_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,E)),k5_bvfunc_1(A,B,C)),k1_bvfunc_1(A,k2_bvfunc_1(A,D,E))),k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,D,B),k9_bvfunc_1(A,E,C)),k5_bvfunc_1(A,D,E)),k1_bvfunc_1(A,k2_bvfunc_1(A,B,C)))) ) ) ) ) ) )).
fof(l159_jordan,axiom,( r1_xxreal_0(k17_euclid(k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))),k17_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(3)))) )).
fof(l159_toprealb,axiom,( v1_t_0topsp(k13_toprealb(k4_toprealb(k7_xcmplx_0(1,2))),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k4_toprealb(k7_xcmplx_0(1,2)),k2_xcmplx_0(k4_toprealb(k7_xcmplx_0(1,2)),1)))),k11_toprealb(k3_funct_2(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k4_toprealb(k7_xcmplx_0(1,2))))) )).
fof(l15_afvect01,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(o_0_0_afvect01)) => ! [B] : ( m1_subset_1(B,u1_struct_0(o_0_0_afvect01)) => ! [C] : ( m1_subset_1(C,u1_struct_0(o_0_0_afvect01)) => ! [D] : ( m1_subset_1(D,u1_struct_0(o_0_0_afvect01)) => ( r2_hidden(k4_tarski(k4_tarski(A,B),k4_tarski(C,D)),c4__afvect01) <=> r2_diraf(o_0_0_afvect01,A,B,C,D) ) ) ) ) ) )).
fof(l15_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_3)) => ( A != B => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_3)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_algstr_3)) => ? [E] : ( m1_subset_1(E,u1_struct_0(k3_algstr_3)) & ? [F] : ( m1_subset_1(F,u1_struct_0(k3_algstr_3)) & k1_algstr_3(k3_algstr_3,E,A,F) = C & k1_algstr_3(k3_algstr_3,E,B,F) = D ) ) ) ) ) ) ) )).
fof(l15_ami_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_amistd_1(k5_card_1(2),k1_ami_3,B,A) = k1_tarski(k2_xcmplx_0(B,1)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_ami_3,A)) ) ) )).
fof(l15_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( k3_rlvect_1(A,B,k1_rlvect_1(A,D,E)) = k3_rlvect_1(A,C,k1_rlvect_1(A,D,F)) => k3_rlvect_1(A,k1_rlvect_1(A,D,k6_xcmplx_0(E,F)),B) = C ) ) ) ) ) ) ) )).
fof(l15_asympt_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(4,A) & r1_xxreal_0(k5_series_1(2,A),k1_nat_1(k3_xcmplx_0(2,A),3)) ) ) )).
fof(l15_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A,B),2)) = k5_numbers & ! [C] : ( v1_int_1(C) => A != k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C)) ) ) ) ) )).
fof(l15_brouwer2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)) ) => ~ ( B = k7_toprealb(A,k4_struct_0(k15_euclid(A)),1) & r1_borsuk_1(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1),B) ) ) ) )).
fof(l15_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( k3_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k9_bvfunc_1(A,B,C),D,E),F) = k7_margrel1 => ! [G] : ( m1_subset_1(G,A) => ( r2_hidden(G,k15_bvfunc_1(A,F,k5_bvfunc_2(A,E,D))) => k3_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),G) = k7_margrel1 ) ) ) ) ) ) ) ) ) )).
fof(l15_cardfin2,axiom,( m1_subset_1(1,k4_numbers) & m1_subset_1(k5_numbers,k4_numbers) )).
fof(l15_cfdiff_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( m1_cfdiff_1(B,A) => ! [C] : ( m1_cfdiff_1(C,A) => ? [D] : ( m1_cfdiff_1(D,A) & r1_tarski(D,B) & r1_tarski(D,C) ) ) ) ) )).
fof(l15_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r2_tarski(k10_finseq_1(B,C),k1_relset_1(k1_euclid(2),A)) => k7_partfun1(k1_euclid(1),k3_pdiff_1(2,A),k10_finseq_1(B,C)) = k12_finseq_1(k1_numbers,k7_partfun1(k1_numbers,A,k10_finseq_1(B,C))) ) ) ) ) )).
fof(l15_chord,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v1_abian(B) ) => ~ ( r1_xxreal_0(A,B) & ! [C] : ( v7_ordinal1(C) => k2_xcmplx_0(A,k3_xcmplx_0(2,C)) != B ) ) ) ) )).
fof(l15_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v2_convex1(B,A) & m1_rlvect_2(B,A) ) => ! [C] : ( ( v2_convex1(C,A) & m1_rlvect_2(C,A) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ~ r1_xxreal_0(k3_xcmplx_0(D,E),k5_numbers) => k3_rlvect_2(A,k7_rlvect_2(A,k8_rlvect_2(A,D,B),k8_rlvect_2(A,E,C))) = k4_subset_1(u1_struct_0(A),k3_rlvect_2(A,k8_rlvect_2(A,D,B)),k3_rlvect_2(A,k8_rlvect_2(A,E,C))) ) ) ) ) ) ) )).
fof(l15_convfun1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k6_numbers) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k4_convfun1)) => ( ( k3_finseq_1(B) = A & k3_finseq_1(C) = A & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k2_finseq_1(A)) => k12_supinf_2(B,D) = k1_funct_1(C,D) ) ) ) => k4_extreal1(B) = k4_rlvect_1(k4_convfun1,C) ) ) ) ) )).
fof(l15_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => v2_cqc_the1(k8_cqc_lang(A,k9_cqc_lang(A,B,C),k8_cqc_lang(A,k6_cqc_lang(A,B),C)),A) ) ) ) )).
fof(l15_csspace2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)),k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B)))) ) ) )).
fof(l15_dtconstr,axiom,( r1_lang1(k5_dtconstr,c3__dtconstr,k3_pre_poly(u1_struct_0(k5_dtconstr),c3__dtconstr)) )).
fof(l15_euclid10,axiom,( k12_euclid(k19_euclid(k7_xcmplx_0(k3_square_1(3),2),k7_xcmplx_0(1,2))) = 1 )).
fof(l15_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => ~ ( B != k5_numbers & ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_comptrig(B),k1_comptrig(A))) & k1_comptrig(k2_complex2(B,k4_xcmplx_0(k1_comptrig(A)))) != k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_comptrig(A)),k1_comptrig(B)) ) ) ) )).
fof(l15_extreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k1_nat_1(A,1))) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & v3_funct_2(C,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))))) ) => ? [D] : ( m1_subset_1(D,k4_ordinal1) & r2_tarski(D,k2_finseq_1(k1_nat_1(A,1))) & ~ ( ( ~ r1_xxreal_0(B,D) => k1_funct_1(C,D) = D ) & ( D = B => k1_funct_1(C,D) = k1_nat_1(A,1) ) & ( ~ r1_xxreal_0(D,B) => k1_funct_1(C,D) = k6_xcmplx_0(D,1) ) ) ) ) ) ) ) )).
fof(l15_fib_fusc,axiom,( k10_ami_3(2) != k10_ami_3(4) )).
fof(l15_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k3_xcmplx_0(k2_power(k9_complex1(k2_fib_num),A),k7_xcmplx_0(1,k3_square_1(5))),k5_numbers) ) )).
fof(l15_finance2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k1_numbers),A,B) = k1_seq_4(k4_xcmplx_0(B)) ) ) )).
fof(l15_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : k10_xtuple_0(k11_finseq_1(A,B,C)) = k1_enumset1(A,B,C) )).
fof(l15_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(E,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => ( ( v1_setwiseo(D,A) & k3_finseq_1(B) = k5_numbers & C = k3_relat_1(E,B) ) => k1_finsop_1(A,B,D) = k1_finsop_1(A,C,D) ) ) ) ) ) ) )).
fof(l15_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : k3_xboole_0(k1_funct_2(A,B),k1_funct_2(A,C)) = k1_funct_2(A,k3_xboole_0(B,C)) )).
fof(l15_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v14_fomodel1(G,F,A) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [H] : ( v7_ordinal1(H) => k1_funct_1(k10_funct_5(k4_ordinal1,k35_fomodel1(A),B,k9_funct_2(k35_fomodel1(A),B),k7_fomodel2(A,B,D,C),k1_nat_1(F,1)),G) = k1_funct_1(k8_nat_1(k9_funct_2(k35_fomodel1(A),B),k7_fomodel2(A,B,E,C),k2_xcmplx_0(k1_nat_1(F,1),H)),G) ) ) ) ) ) ) ) ) )).
fof(l15_fomodel3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v8_ordinal1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( v1_partfun1(k10_fomodel3(B,C,A),k4_finseq_2(A,B)) & v3_relat_2(k10_fomodel3(B,C,A)) & v8_relat_2(k10_fomodel3(B,C,A)) ) ) ) ) )).
fof(l15_friends1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_finset_1(D) ) => ! [E] : ( ( v3_friends1(D) & r2_hidden(k4_tarski(A,C),D) & r2_hidden(k4_tarski(C,B),D) & r2_hidden(k4_tarski(A,E),D) & r2_hidden(k4_tarski(E,B),D) ) => ( A = B | C = E ) ) ) )).
fof(l15_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ( ( r1_functor2(A,B,C,D) & r1_functor2(A,B,D,E) ) => ! [F] : ( m1_functor2(F,A,B,C,D) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( k1_altcat_1(A,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(A,G,H)) => k5_altcat_1(B,k3_functor0(A,B,C,G),k3_functor0(A,B,C,H),k3_functor0(A,B,D,H),k6_functor0(A,B,C,G,H,I),k2_functor2(A,B,C,D,F,H)) = k5_altcat_1(B,k3_functor0(A,B,C,G),k3_functor0(A,B,D,G),k3_functor0(A,B,D,H),k2_functor2(A,B,C,D,F,G),k6_functor0(A,B,D,G,H,I)) ) ) ) ) => ! [G] : ( m1_functor2(G,A,B,D,E) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( k1_altcat_1(A,H,I) != k1_xboole_0 => ! [J] : ( m1_subset_1(J,k1_altcat_1(A,H,I)) => k5_altcat_1(B,k3_functor0(A,B,D,H),k3_functor0(A,B,D,I),k3_functor0(A,B,E,I),k6_functor0(A,B,D,H,I,J),k2_functor2(A,B,D,E,G,I)) = k5_altcat_1(B,k3_functor0(A,B,D,H),k3_functor0(A,B,E,H),k3_functor0(A,B,E,I),k2_functor2(A,B,D,E,G,H),k6_functor0(A,B,E,H,I,J)) ) ) ) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( k1_altcat_1(A,H,I) != k1_xboole_0 => ! [J] : ( m1_subset_1(J,k1_altcat_1(A,H,I)) => k5_altcat_1(B,k3_functor0(A,B,C,H),k3_functor0(A,B,C,I),k3_functor0(A,B,E,I),k6_functor0(A,B,C,H,I,J),k2_functor2(A,B,C,E,k3_functor2(A,B,C,D,E,F,G),I)) = k5_altcat_1(B,k3_functor0(A,B,C,H),k3_functor0(A,B,E,H),k3_functor0(A,B,E,I),k2_functor2(A,B,C,E,k3_functor2(A,B,C,D,E,F,G),H),k6_functor0(A,B,E,H,I,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l15_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analoaf(A,B,D,D,C) => ( r1_analoaf(A,C,D,D,B) & r1_analoaf(A,B,D,B,C) & r1_analoaf(A,D,C,B,C) ) ) ) ) ) ) )).
fof(l15_gfacirc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(3,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k5_margrel1),k5_margrel1))) ) => ! [E] : ! [F] : ! [G] : k6_subset_1(k1_enumset1(E,F,G),k1_tarski(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(E,F),A),k4_tarski(k10_finseq_1(F,G),B),k4_tarski(k10_finseq_1(G,E),C)),D))) = k1_enumset1(E,F,G) ) ) ) ) )).
fof(l15_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_6_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l15_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m1_graph_1(k1_xboole_0,A) ) )).
fof(l15_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m2_finseq_1(C,u4_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) ) => ( ( D != k1_funct_1(u1_graph_1(B),k1_funct_1(C,A)) & D != k1_funct_1(u2_graph_1(B),k1_funct_1(C,A)) ) | r2_tarski(D,k2_graph_5(B,C)) ) ) ) ) ) ) )).
fof(l15_group_14,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_int_1(B) => r2_hidden(k5_int_1(B,A),k5_card_1(A)) ) ) )).
fof(l15_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( k3_group_4(A,k5_finseq_2(u1_struct_0(A),C,B)) = k5_group_1(A,B,C) => k3_group_4(A,k5_finseq_2(u1_struct_0(A),k1_nat_1(C,1),B)) = k5_group_1(A,B,k1_nat_1(C,1)) ) ) ) ) )).
fof(l15_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_partit_2(A) => r1_tarski(k7_relat_1(A,k4_hilbert4(A)),k3_hilbert4(A)) ) ) )).
fof(l15_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( v4_aff_2(A) & B != C & B != D & r1_aff_1(A,B,C,D) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = G <=> ( ( ~ r1_aff_1(A,B,C,F) & r1_aff_1(A,B,F,G) & r2_analoaf(A,C,F,D,G) ) | ( r1_aff_1(A,B,C,F) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,H) & r1_aff_1(A,B,H,I) & r2_analoaf(A,C,H,D,I) & r2_analoaf(A,H,F,I,G) & r1_aff_1(A,B,C,G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l15_huffman1,axiom,( ! [A] : ! [B] : ~ ( ? [C] : ? [D] : ( C != D & r2_hidden(C,A) & r2_hidden(D,A) ) & k6_subset_1(A,k1_tarski(B)) = k1_xboole_0 ) )).
fof(l15_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( r1_int_2(A,B) | r1_int_1(B,A) ) ) ) )).
fof(l15_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(A,k1_numbers,C,A)) & r1_tarski(B,A) ) => ( r1_xxreal_0(k3_seq_4(k1_rvsum_1(C)),k3_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,B)))) & r1_xxreal_0(k3_seq_4(k1_rvsum_1(C)),k2_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,B)))) & r1_xxreal_0(k2_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,B))),k2_seq_4(k1_rvsum_1(C))) & r1_xxreal_0(k3_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,B))),k2_seq_4(k1_rvsum_1(C))) ) ) ) ) ) )).
fof(l15_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k3_integra1(A),k5_numbers) & ! [C] : ( m1_integra1(C,A) => ~ ( k3_finseq_1(C) = B & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k2_xcmplx_0(k3_seq_4(A),k3_xcmplx_0(k7_xcmplx_0(k3_integra1(A),B),D)) ) ) ) ) ) ) ) )).
fof(l15_integra8,axiom,( ~ r1_xxreal_0(k19_sin_cos(k7_xcmplx_0(k28_sin_cos,4)),k5_numbers) )).
fof(l15_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k3_funct_2(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),k1_numbers,k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),B) = k1_funct_1(k5_pscomp_1,B) ) ) )).
fof(l15_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v9_rltopsp1(A,k15_euclid(2)) => ! [B] : ( v1_xreal_0(B) => ~ ( k1_jordan2c(2,A) != k1_xboole_0 & ~ r1_xxreal_0(B,k6_pscomp_1(k1_jordan2c(2,A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,k1_jordan2c(2,A)) => r1_xxreal_0(B,k17_euclid(C)) ) ) ) ) ) ) )).
fof(l15_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => r1_xxreal_0(1,k7_nat_d(k3_xcmplx_0(2,A),2)) ) ) )).
fof(l15_lattice5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(k1_nat_1(B,C),A) & ~ ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(B,A) ) & ~ ( B = A & ~ r1_xxreal_0(k1_nat_1(B,C),A) ) & ~ ( r1_xxreal_0(k1_nat_1(B,1),A) & ~ r1_xxreal_0(k1_nat_1(B,C),A) ) ) ) ) ) )).
fof(l15_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => k15_glib_001(A,k10_glib_001(A,B,C)) = k1_nat_1(k15_glib_001(A,B),1) ) ) ) )).
fof(l15_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,C) => ( k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,F,G)) = a_7_0_lfuzzy_1(A,B,C,D,E,F,G) & k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,F,G)) != k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(l15_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m2_funct_2(C,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [D] : ( m2_funct_2(D,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [E] : ( v1_xreal_0(E) => k1_binop_1(k2_lopban_1(A,B),k1_funct_1(k3_lopban_1(A,B),k4_tarski(E,C)),k1_funct_1(k3_lopban_1(A,B),k4_tarski(E,D))) = k1_funct_1(k3_lopban_1(A,B),k4_tarski(E,k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D))) ) ) ) ) ) )).
fof(l15_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),C),k8_cqc_lang(A,k8_cqc_lang(A,C,B),B)),k4_cqc_the1(A)) ) ) ) )).
fof(l15_measure7,axiom,( k2_relset_1(k9_setfam_1(k1_numbers),c1__measure7) = k1_tarski(k1_numbers) )).
fof(l15_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),C,G)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,H)),k1_rlvect_1(k15_euclid(2),A,H)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,I)),k1_rlvect_1(k15_euclid(2),D,I)) ) => k1_euclid_6(B,E,F) = k3_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(1,H),k3_xcmplx_0(I,k2_xcmplx_0(k6_xcmplx_0(1,H),k3_xcmplx_0(G,H)))),k1_euclid_6(A,B,C)) ) ) ) ) ) ) ) ) ) ) )).
fof(l15_mesfunc3,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ! [C] : ( m1_subset_1(C,k6_numbers) => ( ( C = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => k12_supinf_2(A,D) = B ) ) ) => k4_extreal1(A) = k1_extreal1(C,B) ) ) ) ) )).
fof(l15_mesfunc9,axiom,( v1_xreal_0(1) )).
fof(l15_moebius2,axiom,( r1_nat_d(3,k2_nat_1(3,3)) )).
fof(l15_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_1(k1_unialg_1(A)),k3_finseq_2(k1_tarski(k5_numbers))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k1_unialg_1(A)),k3_finseq_2(k1_tarski(k5_numbers))))) ) => ( v5_msualg_1(g1_msualg_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),B,k8_funcop_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),c1__msualg_1))) & v13_struct_0(g1_msualg_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),B,k8_funcop_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),c1__msualg_1)),1) & ~ v11_struct_0(g1_msualg_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),B,k8_funcop_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),c1__msualg_1))) & v1_msualg_1(g1_msualg_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),B,k8_funcop_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),c1__msualg_1))) ) ) ) )).
fof(l15_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) & v1_mazurulm(C,A,B) & v2_nfcont_1(D,A) ) => v2_nfcont_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) )).
fof(l15_numbers,axiom,( ! [A] : ( ( v3_ordinal1(A) & m1_subset_1(A,k5_arytm_3) ) => ! [B] : ( ( v3_ordinal1(B) & m1_subset_1(B,k5_arytm_3) ) => ( r1_ordinal1(A,B) => r3_arytm_3(A,B) ) ) ) )).
fof(l15_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v5_o_ring_1(B,A) ) ) ) )).
fof(l15_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,B,C),k5_algstr_0(A,D,k3_rlvect_1(A,k3_rlvect_1(A,D,G),k4_algstr_0(A,F)))),k8_group_1(A,k5_algstr_0(A,E,k3_rlvect_1(A,k3_rlvect_1(A,E,C),k4_algstr_0(A,B))),k5_algstr_0(A,F,G))) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(l15_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( B = k5_algstr_0(A,k3_rlvect_1(A,C,D),E) & F = k5_algstr_0(A,k3_rlvect_1(A,C,G),E) ) => k8_group_1(A,k1_group_1(A),k5_algstr_0(A,D,G)) = k5_algstr_0(A,B,F) ) ) ) ) ) ) ) ) )).
fof(l15_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => ( ( C = D => k1_funct_1(k1_funct_7(k5_euclid(A),C,B),D) = B ) & ( C != D => k1_funct_1(k1_funct_7(k5_euclid(A),C,B),D) = k5_numbers ) ) ) ) ) ) ) )).
fof(l15_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v8_incproj(A) & l1_incsp_1(A) ) => ? [B] : ( m1_subset_1(B,u1_incsp_1(A)) & ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u1_incsp_1(A)) & ? [G] : ( m1_subset_1(G,u1_incsp_1(A)) & ? [H] : ( m1_subset_1(H,u1_incsp_1(A)) & ? [I] : ( m1_subset_1(I,u2_incsp_1(A)) & ? [J] : ( m1_subset_1(J,u2_incsp_1(A)) & ? [K] : ( m1_subset_1(K,u2_incsp_1(A)) & ? [L] : ( m1_subset_1(L,u2_incsp_1(A)) & ? [M] : ( m1_subset_1(M,u2_incsp_1(A)) & ? [N] : ( m1_subset_1(N,u2_incsp_1(A)) & ? [O] : ( m1_subset_1(O,u2_incsp_1(A)) & ? [P] : ( m1_subset_1(P,u2_incsp_1(A)) & ? [Q] : ( m1_subset_1(Q,u1_incsp_1(A)) & ~ r1_incsp_1(A,C,M) & ~ r1_incsp_1(A,D,M) & ~ r1_incsp_1(A,B,L) & ~ r1_incsp_1(A,E,L) & ~ r1_incsp_1(A,B,N) & ~ r1_incsp_1(A,D,N) & ~ r1_incsp_1(A,C,O) & ~ r1_incsp_1(A,E,O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,B,E),M) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,C,D),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,C,E),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,B,D),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,B,C),I) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,D,E),J) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),F,G),K) & ~ r1_incsp_1(A,H,K) & r1_incsp_1(A,G,P) & r1_incsp_1(A,H,P) & r2_zfmisc_1(K,P,N,O) & r1_incsp_1(A,Q,I) & r2_zfmisc_1(H,Q,B,C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l15_prvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) ) => ( v2_rlvect_1(A) & v3_rlvect_1(A) ) ) ) )).
fof(l15_qmax_1,axiom,( r1_tarski(k10_xtuple_0(k6_domain_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))),k1_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),c3__qmax_1))),k1_qmax_1(k1_numbers,k12_prob_1)) )).
fof(l15_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m2_finseq_1(k1_partfun1(k4_ordinal1,k1_relset_1(A,B),A,k1_numbers,k19_finseq_1(k1_relset_1(A,B)),B),k1_numbers) ) ) )).
fof(l15_realset2,axiom,( k4_binop_1(2,k1_realset2,k10_subset_1(1,2),k10_subset_1(1,2)) = k10_subset_1(k5_numbers,2) )).
fof(l15_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_struct_0(A)) = k4_struct_0(B) & r2_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_struct_0(A,B,k4_struct_0(B))) ) | ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_struct_0(A)) = k5_struct_0(B) & v3_mod_4(C,A,B) ) ) ) ) ) )).
fof(l15_ringcat1,axiom,( ! [A] : ( ( v3_ringcat1(A) & l1_ringcat1(A) ) => ? [B] : ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & ? [C] : ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) & r1_ringcat1(B,C) & k1_ringcat1(A) = B & k2_ringcat1(A) = C & m1_ringcat1(g1_ringcat1(u1_ringcat1(A),u2_ringcat1(A),u3_ringcat1(A)),B,C) ) ) ) )).
fof(l15_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => r1_ordinal1(k1_card_1(k1_convex1(A,B,C)),k1_card_1(B)) ) ) ) )).
fof(l15_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => ( u1_struct_0(C) = u1_struct_0(D) => ( k1_rmod_3(A,B,E,C) = k1_rmod_3(A,B,E,D) & k1_rmod_3(A,B,C,E) = k1_rmod_3(A,B,D,E) ) ) ) ) ) ) ) )).
fof(l15_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( u1_struct_0(B) = C => v1_rlsub_1(C,A) ) ) ) ) ) )).
fof(l15_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m2_finseq_1(A,k1_numbers) ) )).
fof(l15_scmfsa_1,axiom,( r1_tarski(k9_xtuple_0(k3_ami_2),k9_xtuple_0(k4_scmfsa_1)) )).
fof(l15_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k4_scmp_gcd,A) => ( k3_compos_1(k1_scmpds_2,A,k5_numbers) = k5_scmpds_2(k2_scmp_gcd,k5_numbers) & k3_compos_1(k1_scmpds_2,A,1) = k5_scmpds_2(k3_scmp_gcd,7) & k3_compos_1(k1_scmpds_2,A,2) = k6_scmpds_2(k3_scmp_gcd,k15_scmpds_i) & k3_compos_1(k1_scmpds_2,A,3) = k3_scmpds_2(2) & k3_compos_1(k1_scmpds_2,A,4) = k2_compos_1(k1_scmpds_2) & k3_compos_1(k1_scmpds_2,A,5) = k8_scmpds_2(k3_scmp_gcd,3,9) & k3_compos_1(k1_scmpds_2,A,6) = k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,6,3) & k3_compos_1(k1_scmpds_2,A,7) = k15_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,2,3) & k3_compos_1(k1_scmpds_2,A,8) = k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,7,3) & k3_compos_1(k1_scmpds_2,A,9) = k16_scmpds_2(k3_scmp_gcd,k2_scmp_gcd,k1_nat_1(4,k14_scmpds_i),1) & k3_compos_1(k1_scmpds_2,A,10) = k11_scmpds_2(k2_scmp_gcd,1,4) & k3_compos_1(k1_scmpds_2,A,11) = k6_scmpds_2(k3_scmp_gcd,k15_scmpds_i) & k3_compos_1(k1_scmpds_2,A,12) = k3_scmpds_2(k4_xcmplx_0(7)) & k3_compos_1(k1_scmpds_2,A,13) = k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,2,6) & k3_compos_1(k1_scmpds_2,A,14) = k4_scmpds_2(k3_scmp_gcd) ) ) ) )).
fof(l15_seq_2,axiom,( v7_ordinal1(k5_numbers) )).
fof(l15_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k3_xcmplx_0(k1_nat_1(A,2),k6_xcmplx_0(k1_nat_1(k11_newton(k1_nat_1(A,1),2),k1_nat_1(A,1)),1)) = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k3_xcmplx_0(5,k1_newton(A,2))),k3_xcmplx_0(7,A)),2) ) )).
fof(l15_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k7_xcmplx_0(k3_xcmplx_0(B,C),A)),k7_xcmplx_0(k3_xcmplx_0(C,A),B)),k3_xcmplx_0(k3_xcmplx_0(2,k7_xcmplx_0(k3_xcmplx_0(B,C),A)),k7_xcmplx_0(k3_xcmplx_0(A,B),C))),k3_xcmplx_0(k3_xcmplx_0(2,k7_xcmplx_0(k3_xcmplx_0(C,A),B)),k7_xcmplx_0(k3_xcmplx_0(A,B),C))) = k3_xcmplx_0(2,k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C))) ) ) ) )).
fof(l15_sin_cos6,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)) )).
fof(l15_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(1,k1_square_1(A)) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(A,1),k6_xcmplx_0(1,A)),k5_numbers) ) ) )).
fof(l15_srings_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(l15_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_t_0topsp(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_t_0topsp(A))) => ~ ( B != C & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_t_0topsp(A)))) => ~ ( v3_pre_topc(D,k3_t_0topsp(A)) & ( ( r2_tarski(B,D) & ~ r2_tarski(C,D) ) | ( r2_tarski(C,D) & ~ r2_tarski(B,D) ) ) ) ) ) ) ) ) )).
fof(l15_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r1_termord(A,B,C,D) | r1_termord(A,B,D,C) ) ) ) ) ) )).
fof(l15_topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) ) => ( ( v5_pre_topc(C,B,k15_euclid(A)) & v5_pre_topc(D,B,k15_euclid(A)) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(k15_euclid(A)),E,F) = k3_rlvect_1(k15_euclid(A),k3_funct_2(u1_struct_0(B),u1_struct_0(k15_euclid(A)),C,F),k3_funct_2(u1_struct_0(B),u1_struct_0(k15_euclid(A)),D,F)) ) ) => v5_pre_topc(E,B,k15_euclid(A)) ) ) ) ) ) ) )).
fof(l15_topgen_3,axiom,( u1_struct_0(k2_topgen_3) = k1_numbers )).
fof(l15_topreal2,axiom,( ~ r2_tarski(k19_euclid(k5_numbers,1),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) )).
fof(l15_uniform1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k3_finseq_1(k7_finseq_1(B,k9_finseq_1(A))) = k1_nat_1(k3_finseq_1(B),1) & k3_finseq_1(k7_finseq_1(k9_finseq_1(A),B)) = k1_nat_1(k3_finseq_1(B),1) & k1_funct_1(k7_finseq_1(B,k9_finseq_1(A)),k1_nat_1(k3_finseq_1(B),1)) = A & k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),1) = A ) ) )).
fof(l15_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ? [D] : ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) & u1_struct_0(C) = u1_struct_0(D) ) ) ) ) )).
fof(l15_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => k1_waybel11(A,k3_waybel17(A,B,C)) = B ) ) ) ) )).
fof(l15_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => u1_struct_0(A) = u1_struct_0(k1_waybel25(A)) ) )).
fof(l15_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,C,k7_funcop_1(A,B)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_relset_1(k4_card_3(k1_funct_6(D)),k2_pralg_2(D))) => ! [F] : ( r2_tarski(F,A) => ( k1_funct_1(k1_funct_1(k2_pralg_2(D),E),F) = k1_funct_1(k1_funct_1(D,F),k1_funct_1(E,F)) & r2_tarski(k1_funct_1(k1_funct_1(D,F),k1_funct_1(E,F)),k10_xtuple_0(k1_funct_1(k2_pralg_2(D),E))) ) ) ) ) ) ) )).
fof(l15_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & v2_compts_1(C,A) & v5_pre_topc(B,A,k3_topmetr) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r2_tarski(E,C) & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D) = k2_seq_4(k1_weierstr(k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C))) & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E) = k3_seq_4(k1_weierstr(k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C))) ) ) ) ) ) ) ) )).
fof(l15_xreal_0,axiom,( 1 = k5_arytm_0(c3__xreal_0,c4__xreal_0) )).
fof(l15_xreal_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( A = C & B = D ) => k2_arytm_0(A,B) = k3_xcmplx_0(C,D) ) ) ) ) ) )).
fof(l15_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r1_xxreal_0(A,k2_xxreal_0) => A = k2_xxreal_0 ) ) )).
fof(l15_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r2_hidden(k2_xxreal_3(A),k1_numbers) <=> r2_hidden(A,k1_numbers) ) ) )).
fof(l15_yellow11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_yellow11(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( B != C & B != D & B != E & B != F & C != D & C != E & C != F & D != E & D != F & E != F & k12_lattice3(A,B,C) = B & k12_lattice3(A,B,D) = B & k12_lattice3(A,D,F) = D & k12_lattice3(A,E,F) = E & k12_lattice3(A,C,D) = B & k12_lattice3(A,C,E) = C & k12_lattice3(A,D,E) = B & k13_lattice3(A,C,D) = F & k13_lattice3(A,D,E) = F ) ) ) ) ) ) ) ) )).
fof(l15_yellow21,axiom,( ! [A] : ! [B] : ( r2_tarski(A,B) <=> B = k2_xboole_0(k6_subset_1(B,k1_tarski(A)),k1_tarski(A)) ) )).
fof(l15_zf_fund1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => A = k3_zf_fund1(k2_zf_lang(k4_card_1(A))) ) )).
fof(l15_zfmisc_1,axiom,( ! [A] : ! [B] : ( r1_tarski(k2_xboole_0(k1_tarski(A),B),B) => r2_hidden(A,B) ) )).
fof(l160_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( m1_subset_1(C,k15_funct_3(A,B)) => ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ~ ( v1_xtuple_0(k1_xfamily(C)) & v1_xtuple_0(k2_xfamily(C)) ) ) ) ) ) )).
fof(l160_jordan,axiom,( r1_xxreal_0(k17_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(3))),k17_euclid(k19_euclid(1,k4_xcmplx_0(3)))) )).
fof(l160_seq_4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(A) = k5_numbers => ( A = k1_xboole_0 | ( v4_xxreal_2(A) & r2_hidden(k2_seq_4(A),A) & v3_xxreal_2(A) & r2_hidden(k3_seq_4(A),A) ) ) ) ) )).
fof(l160_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( ( A = k5_zf_lang1(C,E,F) & B = k5_zf_lang1(D,E,F) ) => k6_zf_lang(A,B) = k5_zf_lang1(k6_zf_lang(C,D),E,F) ) ) ) ) ) ) ) )).
fof(l161_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => r1_tarski(k3_relat_1(C,k2_zfmisc_1(A,B)),k2_zfmisc_1(k8_relat_1(C,A),B)) ) )).
fof(l161_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(1,k4_xcmplx_0(3)))) )).
fof(l161_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(B) = A => ( B = k1_xboole_0 | ( v4_xxreal_2(B) & r2_hidden(k2_seq_4(B),B) & v3_xxreal_2(B) & r2_hidden(k3_seq_4(B),B) ) ) ) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(B) = k1_nat_1(A,1) => ( B = k1_xboole_0 | ( v4_xxreal_2(B) & r2_hidden(k2_seq_4(B),B) & v3_xxreal_2(B) & r2_hidden(k3_seq_4(B),B) ) ) ) ) ) ) )).
fof(l161_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( A = k5_zf_lang1(B,C,D) => ( ( ~ ( E = F & F != C ) & ~ ( E = D & F = C ) ) | k7_zf_lang(E,A) = k5_zf_lang1(k7_zf_lang(F,B),C,D) ) ) ) ) ) ) ) ) )).
fof(l162_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k3_relat_1(C,k2_zfmisc_1(A,B)) = k2_zfmisc_1(k8_relat_1(C,A),B) ) )).
fof(l162_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => ( k10_xtuple_0(D) = k30_fomodel2(B) => v9_fomodel2(k49_fomodel4(A,B,C,D),B) ) ) ) ) )).
fof(l162_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l162_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(B) = A => ( B = k1_xboole_0 | ( v4_xxreal_2(B) & r2_hidden(k2_seq_4(B),B) & v3_xxreal_2(B) & r2_hidden(k3_seq_4(B),B) ) ) ) ) ) )).
fof(l163_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r1_tarski(D,B) => ( D = k1_xboole_0 | k3_relat_1(k2_zfmisc_1(A,D),k2_zfmisc_1(B,C)) = k2_zfmisc_1(A,C) ) ) )).
fof(l163_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3))),k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(1,k4_xcmplx_0(3)))) )).
fof(l164_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k3_relat_1(B,k2_zfmisc_1(k10_xtuple_0(B),A)) = k2_zfmisc_1(k9_xtuple_0(B),A) ) )).
fof(l164_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( k1_funct_1(k50_fomodel4(A),B) = k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k31_fomodel2(A)),B),B) & v1_funct_1(k50_fomodel4(A)) & v1_funct_2(k50_fomodel4(A),k35_fomodel1(A),k32_fomodel1(A)) & m1_subset_1(k50_fomodel4(A),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),k32_fomodel1(A)))) & v2_funct_1(k50_fomodel4(A)) ) ) ) )).
fof(l164_jordan,axiom,( r1_tarski(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3))),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) )).
fof(l165_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k10_xtuple_0(A) = k9_xtuple_0(A) => ( v1_funct_1(A) & v1_funct_2(A,k9_xtuple_0(A),k9_xtuple_0(A)) & v2_funct_2(A,k9_xtuple_0(A)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(A)))) ) ) ) )).
fof(l165_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ~ ( v7_fomodel4(D,B) & r2_tarski(k25_fomodel4(B),D) & r2_tarski(k35_fomodel4(B),D) & v9_fomodel4(C,B,D,A) & ~ v10_fomodel4(A,B,D) & v10_fomodel4(k2_xboole_0(A,k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),C)),B,D) ) ) ) ) )).
fof(l165_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(k5_numbers,k18_euclid(A)) & r2_tarski(A,k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),3))) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(k5_numbers,3))) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,3),k19_euclid(1,3))) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(1,k5_numbers))) ) ) )).
fof(l166_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_partit_2(A) => r1_tarski(k3_relat_1(A,A),k6_partfun1(k9_xtuple_0(A))) ) ) )).
fof(l166_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k30_fomodel2(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(D)))) ) => ( ( v7_fomodel4(E,D) & r2_tarski(k25_fomodel4(D),E) & r2_tarski(k35_fomodel4(D),E) ) => ( v10_fomodel4(C,D,E) | ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(C,k30_fomodel2(D))),k48_fomodel4(C,D,E,F),A),k8_nat_1(k9_setfam_1(k2_xboole_0(C,k30_fomodel2(D))),k48_fomodel4(C,D,E,F),k2_xcmplx_0(A,B))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(C,k30_fomodel2(D))),k48_fomodel4(C,D,E,F),B),D,E) ) ) ) ) ) ) ) ) )).
fof(l166_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(k18_euclid(A),k5_numbers) & r2_tarski(A,k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)))) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3)))) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k4_xcmplx_0(3)),k19_euclid(1,k4_xcmplx_0(3)))) & ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(1,k5_numbers))) ) ) )).
fof(l167_fomodel0,axiom,( ! [A] : k9_subset_1(k2_zfmisc_1(k3_xboole_0(k9_xtuple_0(A),k10_xtuple_0(A)),k3_xboole_0(k9_xtuple_0(A),k10_xtuple_0(A))),A,k6_partfun1(k3_xboole_0(k9_xtuple_0(A),k10_xtuple_0(A)))) = k9_subset_1(k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(A)),A,k6_partfun1(k9_xtuple_0(A))) )).
fof(l167_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => ( ( v7_fomodel4(C,B) & r2_tarski(k25_fomodel4(B),C) & r2_tarski(k35_fomodel4(B),C) ) => ( v10_fomodel4(A,B,C) | v1_cohsp_1(k10_xtuple_0(k48_fomodel4(A,B,C,D))) ) ) ) ) ) )).
fof(l167_group_9,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( A = k6_relat_1(k10_xtuple_0(A),B) <=> k2_relat_1(A) = k5_relat_1(k2_relat_1(B),k9_xtuple_0(k2_relat_1(A))) ) ) ) )).
fof(l168_fomodel0,axiom,( ! [A] : ! [B] : k5_relset_1(A,A,k6_partfun1(A),B) = k6_partfun1(k3_xboole_0(A,B)) )).
fof(l168_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k30_fomodel2(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(B)))) ) => ~ ( v7_fomodel4(C,B) & r2_tarski(k25_fomodel4(B),C) & r2_tarski(k35_fomodel4(B),C) & ~ v10_fomodel4(A,B,C) & v10_fomodel4(k49_fomodel4(A,B,C,D),B,C) ) ) ) ) )).
fof(l168_group_9,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k3_relat_1(B,k5_relat_1(C,A)) = k3_relat_1(k6_relat_1(A,B),C) ) ) )).
fof(l168_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m2_zmodul01(D,A,B) & r2_tarski(C,D) ) ) ) ) )).
fof(l169_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k1_bvfunc_1(A,B),C),D),k2_bvfunc_1(A,k2_bvfunc_1(A,B,k1_bvfunc_1(A,C)),D)),k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),k1_bvfunc_1(A,D))),k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D)))) ) ) ) ) )).
fof(l169_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( k3_xboole_0(k10_xtuple_0(C),k10_xtuple_0(D)) = k1_xboole_0 & r1_tarski(k10_xtuple_0(C),k9_xtuple_0(D)) & r1_tarski(k10_xtuple_0(D),k9_xtuple_0(C)) ) => ( A = B | r1_tarski(k2_xboole_0(k2_zfmisc_1(k10_xtuple_0(C),k1_tarski(B)),k2_zfmisc_1(k10_xtuple_0(D),k1_tarski(A))),k3_relat_1(k3_relat_1(k2_xboole_0(C,D),k2_xboole_0(k2_zfmisc_1(k10_xtuple_0(C),k1_tarski(B)),k2_zfmisc_1(k10_xtuple_0(D),k1_tarski(A)))),k4_funct_4(A,B,B,A))) ) ) ) ) )).
fof(l169_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel4(B,2,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [C] : ( v4_funct_1(C) => ~ ( v4_card_3(k30_fomodel2(A)) & ~ v1_finset_1(k7_subset_1(k15_fomodel1(A),k16_fomodel1(A),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(A)),C,k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0)))))) & ~ v10_fomodel4(C,A,B) & v7_fomodel4(B,A) & ! [D] : ( ( ~ v1_xboole_0(D) & v4_card_3(D) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(A,D)) => ~ v10_fomodel2(C,D,A,E) ) ) ) ) ) ) )).
fof(l169_group_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_finset_1(B) => ~ ( ! [C] : ~ ( r2_tarski(C,B) & ! [D] : ( v1_finset_1(D) => ~ ( D = C & k4_card_1(D) = A & ! [E] : ( r2_tarski(E,B) => ( C = E | ( r2_wellord2(C,E) & r1_xboole_0(C,E) ) ) ) ) ) ) & ! [C] : ( v1_finset_1(C) => ~ ( C = k3_tarski(B) & k4_card_1(C) = k3_xcmplx_0(A,k4_card_1(B)) ) ) ) ) ) )).
fof(l169_group_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k2_finseq_1(A)) & r1_tarski(B,k1_relset_1(k1_numbers,C)) & v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,B)) & r1_tarski(k7_relset_1(k1_numbers,k1_numbers,C,B),k6_subset_1(k4_ordinal1,k1_tarski(k5_numbers))) ) => k14_finseq_1(k7_relset_1(k1_numbers,k1_numbers,C,B)) = k1_partfun1(k4_ordinal1,k4_ordinal1,k1_numbers,k1_numbers,k14_finseq_1(B),C) ) ) ) )).
fof(l16_afvect01,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(o_0_0_afvect01)) => ! [B] : ( m1_subset_1(B,u1_struct_0(o_0_0_afvect01)) => ! [C] : ( m1_subset_1(C,u1_struct_0(o_0_0_afvect01)) => ! [D] : ( m1_subset_1(D,u1_struct_0(o_0_0_afvect01)) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [F] : ( m1_subset_1(F,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [G] : ( m1_subset_1(G,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [H] : ( m1_subset_1(H,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ( ( A = E & B = F & C = G & D = H ) => ( r2_diraf(o_0_0_afvect01,A,B,C,D) <=> r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),E,F,G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l16_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_0)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_0)) => k1_algstr_0(k3_algstr_0,k1_algstr_0(k3_algstr_0,A,B),C) = k1_algstr_0(k3_algstr_0,A,k1_algstr_0(k3_algstr_0,B,C)) ) ) ) )).
fof(l16_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_3)) => ( A != B => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_3)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_algstr_3)) => ? [E] : ( m1_subset_1(E,u1_struct_0(k3_algstr_3)) & k1_algstr_3(k3_algstr_3,A,E,C) = k1_algstr_3(k3_algstr_3,B,E,D) ) ) ) ) ) ) )).
fof(l16_ami_2,axiom,( k9_xtuple_0(k3_ami_2) = k1_ami_2 )).
fof(l16_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k4_algstr_0(A,k1_rlvect_1(A,B,C)) = k1_rlvect_1(A,B,k4_xcmplx_0(C)) ) ) ) )).
fof(l16_arytm_0,axiom,( ! [A] : ! [B] : ! [C] : ( k4_tarski(A,B) = k1_tarski(C) => ( C = k1_tarski(A) & A = B ) ) )).
fof(l16_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ~ ( r2_tarski(B,k1_arytm_2) & r2_tarski(A,B) & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ~ ( r2_tarski(C,B) & ~ r3_arytm_3(C,A) ) ) ) ) )).
fof(l16_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(6,A) & r1_xxreal_0(k5_series_1(2,A),k1_square_1(k1_nat_1(A,1))) ) ) )).
fof(l16_borsuk_2,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,1) ) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(1,A)) & r1_xxreal_0(k6_xcmplx_0(1,A),1) ) ) ) )).
fof(l16_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( D = k6_domain_1(u1_struct_0(A),C) => r2_borsuk_3(k2_borsuk_1(B,k1_pre_topc(A,D)),B) ) ) ) ) ) )).
fof(l16_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ( C = k4_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)) => ( k6_algstr_0(k5_c0sp2(A),B,C) = B & k6_algstr_0(k5_c0sp2(A),C,B) = B ) ) ) ) ) )).
fof(l16_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( D != E => ( k2_xboole_0(a_5_0_card_fin(A,B,C,D,E),a_5_8_card_fin(A,B,C,D,E)) = k1_card_fin(k2_xboole_0(A,k1_tarski(C)),k1_nat_1(B,1),D,E) & r1_xboole_0(a_5_0_card_fin(A,B,C,D,E),a_5_8_card_fin(A,B,C,D,E)) ) ) ) ) )).
fof(l16_catalg_1,axiom,( ! [A] : ( ( v3_catalg_1(A) & l1_msualg_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(k2_xboole_0(u1_struct_0(A),u4_struct_0(A)))) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(l16_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(2))) => ( ( C = k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1)) & D = k10_finseq_1(A,B) ) => k9_complex1(C) = k2_normsp_0(k4_real_ns1(2),D) ) ) ) ) ) )).
fof(l16_cohsp_1,axiom,( ! [A] : ! [B] : k3_tarski(k1_enumset1(A,B,k2_xboole_0(A,B))) = k2_xboole_0(A,B) )).
fof(l16_comseq_2,axiom,( v7_ordinal1(k5_numbers) )).
fof(l16_convex2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_classes1(A,B) => ! [C] : ! [D] : ~ ( r2_tarski(C,k9_xtuple_0(A)) & r2_tarski(D,k9_xtuple_0(A)) & C != D & ! [E] : ! [F] : ~ ( r2_tarski(E,k9_xtuple_0(B)) & r2_tarski(F,k9_xtuple_0(B)) & E != F & k1_funct_1(A,C) = k1_funct_1(B,E) & k1_funct_1(A,D) = k1_funct_1(B,F) ) ) ) ) ) )).
fof(l16_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m2_rlvect_2(C,A,B) => ~ ( r1_xxreal_0(1,k4_card_1(k3_rlvect_2(A,C))) & ! [D] : ( m2_rlvect_2(D,A,B) => ! [E] : ( m2_rlvect_2(E,A,B) => ~ ( k6_rlvect_2(A,C) = k3_rlvect_1(A,k6_rlvect_2(A,D),k6_rlvect_2(A,E)) & k4_card_1(k3_rlvect_2(A,D)) = 1 & k4_card_1(k3_rlvect_2(A,E)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,C)),1) & r1_tarski(k3_rlvect_2(A,D),k3_rlvect_2(A,C)) & r1_tarski(k3_rlvect_2(A,E),k3_rlvect_2(A,C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k3_rlvect_2(A,D)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,F) = k3_funct_2(u1_struct_0(A),k1_numbers,C,F) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k3_rlvect_2(A,E)) => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,C,F) ) ) ) ) ) ) ) ) ) )).
fof(l16_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ( r1_tarski(k2_relset_1(k6_numbers,A),k6_domain_1(k6_numbers,k1_supinf_2)) => k4_extreal1(A) = k1_supinf_2 ) ) )).
fof(l16_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => v2_cqc_the1(k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),C),k9_cqc_lang(A,B,C)),A) ) ) ) )).
fof(l16_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),k55_valued_1(k4_ordinal1,k2_numbers,k2_comseq_2(k4_ordinal1,A))) ) )).
fof(l16_dtconstr,axiom,( r1_lang1(k5_dtconstr,c3__dtconstr,k3_pre_poly(u1_struct_0(k5_dtconstr),c2__dtconstr)) )).
fof(l16_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => ( k9_xtuple_0(k2_xfamily(B)) = k3_ens_1(A,B) & r1_tarski(k10_xtuple_0(k2_xfamily(B)),k4_ens_1(A,B)) ) ) ) )).
fof(l16_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( A = k19_euclid(k5_ordinal1,k5_ordinal1) & B = k19_euclid(k5_ordinal1,1) & C = k19_euclid(k7_xcmplx_0(k3_square_1(3),2),k7_xcmplx_0(1,2)) ) => ( k12_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k12_euclid(k5_algstr_0(k15_euclid(2),A,C)) & k12_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k12_euclid(k5_algstr_0(k15_euclid(2),B,C)) & k12_euclid(k5_algstr_0(k15_euclid(2),A,B)) = 1 ) ) ) ) ) )).
fof(l16_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( ( v1_euclid_4(B,A) & r2_tarski(C,B) & r2_tarski(D,B) ) => ( C = D | B = k2_euclid_4(A,C,D) ) ) ) ) ) ) )).
fof(l16_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => ~ ( B != k5_numbers & ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_comptrig(B),k1_comptrig(A))) & k3_complex2(A,B) != k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_comptrig(A)),k1_comptrig(B)) ) ) ) )).
fof(l16_extreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & v3_funct_2(C,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & v3_funct_2(D,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))))) ) => ! [E] : ( m2_finseq_1(E,k2_finseq_1(k1_nat_1(A,1))) => ( ( E = C & B = k1_funct_1(C,k1_nat_1(A,1)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k2_finseq_1(k1_nat_1(A,1))) => ( ( ~ r1_xxreal_0(B,F) => k1_funct_1(D,F) = F ) & ( F = B => k1_funct_1(D,F) = k1_nat_1(A,1) ) & ( ~ r1_xxreal_0(F,B) => k1_funct_1(D,F) = k6_xcmplx_0(F,1) ) ) ) ) ) => ( v1_funct_1(k1_partfun1(k4_ordinal1,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k17_finseq_1(k2_finseq_1(k1_nat_1(A,1)),A,E),D)) & v1_funct_2(k1_partfun1(k4_ordinal1,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k17_finseq_1(k2_finseq_1(k1_nat_1(A,1)),A,E),D),k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(k1_partfun1(k4_ordinal1,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k17_finseq_1(k2_finseq_1(k1_nat_1(A,1)),A,E),D),k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(k1_partfun1(k4_ordinal1,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k17_finseq_1(k2_finseq_1(k1_nat_1(A,1)),A,E),D),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) ) ) ) ) ) ) )).
fof(l16_fdiff_9,axiom,( k3_limfunc1(k5_numbers) = a_0_0_fdiff_9 )).
fof(l16_fib_fusc,axiom,( k10_ami_3(3) != k10_ami_3(4) )).
fof(l16_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k2_power(k9_complex1(k2_fib_num),A),k7_xcmplx_0(1,k3_square_1(5)))) ) )).
fof(l16_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) <=> r2_tarski(k3_lattices(A,C,D),B) ) ) ) ) ) ) )).
fof(l16_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ( r2_tarski(A,k4_finseq_1(C)) => k7_partfun1(B,k8_finseq_1(B,C,D),A) = k7_partfun1(B,C,A) ) ) ) ) ) )).
fof(l16_gfacirc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [B] : ! [C] : ! [D] : ( D != k4_tarski(k10_finseq_1(B,C),A) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k8_facirc_1(B,C,D,A),k10_facirc_1(B,C,D,A)))) => ( k1_twoscomp(k8_facirc_1(B,C,D,A),k10_facirc_1(B,C,D,A),k6_circuit2(k8_facirc_1(B,C,D,A),k10_facirc_1(B,C,D,A),E),k9_facirc_1(B,C,D,A)) = k1_funct_1(A,k10_finseq_1(k1_funct_1(E,k4_tarski(k10_finseq_1(B,C),A)),k1_funct_1(E,D))) & k1_funct_1(k6_circuit2(k8_facirc_1(B,C,D,A),k10_facirc_1(B,C,D,A),E),k4_tarski(k10_finseq_1(B,C),A)) = k1_funct_1(A,k10_finseq_1(k1_funct_1(E,B),k1_funct_1(E,C))) & k1_funct_1(k6_circuit2(k8_facirc_1(B,C,D,A),k10_facirc_1(B,C,D,A),E),B) = k1_funct_1(E,B) & k1_funct_1(k6_circuit2(k8_facirc_1(B,C,D,A),k10_facirc_1(B,C,D,A),E),C) = k1_funct_1(E,C) & k1_funct_1(k6_circuit2(k8_facirc_1(B,C,D,A),k10_facirc_1(B,C,D,A),E),D) = k1_funct_1(E,D) ) ) ) ) )).
fof(l16_gfacirc2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k3_gfacirc2(C,A,B)) = k1_xboole_0 & k2_xfamily(k3_gfacirc2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k3_gfacirc2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_gfacirc2(C,A,B))) = 3 & k2_xfamily(k3_gfacirc2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_gfacirc2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(l16_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v4_glib_000(A) & v1_glib_002(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m2_glib_000(C,A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) => ( v11_glib_000(B,A) => v1_glib_002(C) ) ) ) ) )).
fof(l16_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => r1_tarski(k2_glib_004,k1_relset_1(k4_ordinal1,A)) ) )).
fof(l16_goboard5,axiom,( m1_subset_1(1,k1_numbers) & m1_subset_1(k5_numbers,k1_numbers) )).
fof(l16_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_5_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l16_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( r1_graph_2(A,C,B) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) & ( ( k1_funct_1(C,D) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,D)) & k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,D)) ) | ( k1_funct_1(C,D) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,D)) & k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,D)) ) ) ) ) ) ) ) ) ) )).
fof(l16_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ( r3_lattices(k11_normform(A),B,C) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ~ ( r2_tarski(D,B) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(E,C) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),E,D) ) ) ) ) ) ) ) )).
fof(l16_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v1_partit_2(A) & r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) ) => ( k7_relat_1(A,k4_hilbert4(A)) = k3_hilbert4(A) & k7_relat_1(A,k3_hilbert4(A)) = k4_hilbert4(A) ) ) ) )).
fof(l16_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( v4_aff_2(A) & r1_aff_1(A,D,B,C) & r1_aff_1(A,D,F,G) & r2_analoaf(A,B,F,C,G) & r1_aff_1(A,D,B,H) ) => ( D = B | r1_aff_1(A,D,B,F) | ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( ~ r1_aff_1(A,D,B,I) & r1_aff_1(A,D,I,J) & r2_analoaf(A,B,I,C,J) & r2_analoaf(A,I,H,J,E) & r1_aff_1(A,D,B,E) ) ) ) | r2_analoaf(A,F,H,G,E) ) ) ) ) ) ) ) ) ) ) )).
fof(l16_huffman1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( r1_tarski(A,B) & r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(E,B) ) => r1_tarski(k2_xboole_0(k6_subset_1(A,k2_tarski(C,D)),k1_tarski(E)),B) ) )).
fof(l16_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & C != B & k1_funct_1(A,C) != k5_numbers & ! [D] : ( v1_int_1(D) => k3_xcmplx_0(D,k1_funct_1(A,B)) != k7_xcmplx_0(k19_rvsum_1(A),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(l16_integra3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ( r2_tarski(A,k4_finseq_1(C)) => r1_xxreal_0(k3_integra1(k2_integra1(B,C,A)),k1_integra3(B,C)) ) ) ) ) )).
fof(l16_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( ~ r1_xxreal_0(k3_integra1(A),k5_numbers) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ~ ( v2_comseq_2(k2_integra3(A,B)) & k1_seq_2(k2_integra3(A,B)) = k5_numbers ) ) ) ) )).
fof(l16_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A)) & v1_funct_2(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),k1_pre_topc(k15_euclid(2),A),k3_topmetr) & m1_subset_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(l16_jordan1b,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k7_nat_d(k3_finseq_1(k1_jordan8(A,k5_numbers)),1) = 3 ) )).
fof(l16_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v9_rltopsp1(A,k15_euclid(2)) => ! [B] : ( v1_xreal_0(B) => ~ ( k1_jordan2c(2,A) != k1_xboole_0 & ~ r1_xxreal_0(k8_pscomp_1(k1_jordan2c(2,A)),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,k1_jordan2c(2,A)) => r1_xxreal_0(k17_euclid(C),B) ) ) ) ) ) ) )).
fof(l16_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => r1_xxreal_0(1,k7_nat_d(k3_xcmplx_0(2,A),1)) ) ) )).
fof(l16_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k15_glib_001(A,B) = k15_glib_001(A,k6_glib_001(A,B)) ) ) )).
fof(l16_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,k8_cqc_lang(A,C,B),B)),k4_cqc_the1(A)) ) ) ) )).
fof(l16_matrix11,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(A,k2_sgraph1(k2_finseq_1(C))) & r2_tarski(B,A) ) => ( r2_tarski(B,k2_finseq_1(C)) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k2_finseq_1(C)) & B != D & A = k2_tarski(B,D) ) ) ) ) ) )).
fof(l16_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => r1_tarski(k9_matrix13(k2_vectsp_1,A,B,C),k2_struct_0(k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B),k9_matrix13(k2_vectsp_1,A,B,C)))) ) ) ) )).
fof(l16_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(B,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(C),k2_finseq_1(C)) & v3_funct_2(D,k2_finseq_1(C),k2_finseq_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C),k2_finseq_1(C)))) ) => ~ ( k1_funct_1(D,1) = A & k1_funct_1(D,2) = B & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(C)) => ( r1_xxreal_0(E,2) | ( ( r1_xxreal_0(E,k1_nat_1(A,1)) => k1_funct_1(D,E) = k6_xcmplx_0(E,2) ) & ( r1_xxreal_0(E,B) => ( r1_xxreal_0(E,k1_nat_1(A,1)) | k1_funct_1(D,E) = k6_xcmplx_0(E,1) ) ) & ( ~ r1_xxreal_0(E,B) => k1_funct_1(D,E) = E ) ) ) ) ) ) ) ) ) ) ) )).
fof(l16_measure7,axiom,( r1_tarski(k1_numbers,k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),c1__measure7))) )).
fof(l16_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ( r1_tarski(A,B) => r1_tarski(k5_member_1(A),k5_member_1(B)) ) ) ) )).
fof(l16_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc2(A,B,C) & v6_supinf_2(C) & ! [D] : ~ ( r2_hidden(D,k1_relset_1(A,C)) & k1_supinf_2 = k1_funct_1(C,D) ) & ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ~ ( r1_mesfunc3(A,B,C,D,E) & k12_supinf_2(E,1) = k1_supinf_2 & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(2,F) & r2_tarski(F,k4_finseq_1(E)) ) => ( ~ r1_xxreal_0(k12_supinf_2(E,F),k1_supinf_2) & ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(l16_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_mfold_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_connsp_2(D,B,C) & ? [E] : ( ~ v1_xboole_0(E) & v1_mfold_1(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & r1_metrizts(B,k15_euclid(A),D,E) ) ) ) ) ) ) )).
fof(l16_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => u1_struct_0(k10_funcsdom(k2_finseq_1(A))) = u1_struct_0(k15_euclid(A)) ) )).
fof(l16_moebius2,axiom,( r1_nat_d(2,k2_nat_1(2,5)) )).
fof(l16_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k4_finseq_1(k1_unialg_1(A)) = k4_finseq_1(u1_unialg_1(A)) ) )).
fof(l16_numbers,axiom,( 2 = k2_tarski(k5_numbers,1) )).
fof(l16_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ! [B] : ( m1_orders_3(B,A) => r2_tarski(u1_struct_0(B),k2_orders_3(A)) ) ) )).
fof(l16_pdiff_1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l16_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(3)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( E = k11_finseq_1(A,B,C) & r3_pdiff_1(3,1,F,E) ) => ( D = k1_fdiff_1(k1_pdiff_2(3,1,F,E),A) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & E = k11_finseq_1(G,H,I) & ? [J] : ( m1_rcomp_1(J,G) & r1_tarski(J,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,F,E))) & ? [K] : ( v1_funct_1(K) & v3_fdiff_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [L] : ( v1_funct_1(L) & v2_fdiff_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & D = k1_funct_1(K,1) & ! [M] : ( v1_xreal_0(M) => ( r2_hidden(M,J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,F,E),M),k1_funct_1(k1_pdiff_2(3,1,F,E),G)) = k2_xcmplx_0(k1_funct_1(K,k6_xcmplx_0(M,G)),k1_funct_1(L,k6_xcmplx_0(M,G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l16_polyeq_1,axiom,( 3 = k1_nat_1(k2_nat_1(2,1),1) )).
fof(l16_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k4_ordinal1,k3_finseq_2(k4_ordinal1)) => ? [C] : ( m2_finseq_2(C,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & ! [D] : ( v7_ordinal1(D) => ( k1_nat_1(A,2) = k3_xcmplx_0(2,D) => C = k8_finseq_1(k4_ordinal1,B,k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,B,D))) ) ) & ! [D] : ( v7_ordinal1(D) => ( k1_nat_1(A,2) = k1_nat_1(k3_xcmplx_0(2,D),1) => C = k8_finseq_1(k4_ordinal1,B,k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,B,D),k7_partfun1(k4_ordinal1,B,k1_nat_1(D,1))))) ) ) ) ) ) )).
fof(l16_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,B,C),k7_cqc_lang(A,k6_cqc_lang(A,k6_cqc_lang(A,B)),C)),k4_cqc_the1(A)) ) ) ) )).
fof(l16_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_collsp(A,D,E,F) & r1_projdes1(A,B,C,D,E) ) => ( D = E | r1_projdes1(A,B,C,D,F) ) ) ) ) ) ) ) ) )).
fof(l16_prvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( r3_binop_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A)) => v4_rlvect_1(A) ) ) )).
fof(l16_qmax_1,axiom,( v1_funct_1(k6_domain_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))),k1_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),c3__qmax_1))) & v1_funct_2(k6_domain_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))),k1_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),c3__qmax_1)),k8_mcart_1(k4_ordinal1,k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers)),k1_qmax_1(k1_numbers,k12_prob_1)) & m1_subset_1(k6_domain_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))),k1_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers)),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),c3__qmax_1)),k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers)),k1_qmax_1(k1_numbers,k12_prob_1)))) )).
fof(l16_quin_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( k1_square_1(A) = k1_square_1(B) & A != B & A != k4_xcmplx_0(B) ) ) ) )).
fof(l16_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_relset_1(k4_ordinal1,k1_partfun1(k4_ordinal1,k1_relset_1(A,B),A,k1_numbers,k19_finseq_1(k1_relset_1(A,B)),B)) = k4_finseq_1(k19_finseq_1(k1_relset_1(A,B))) ) ) )).
fof(l16_realset2,axiom,( k9_xtuple_0(k13_funcop_1(1,1,1)) = k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1)) )).
fof(l16_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => v8_valued_0(k4_rinfsup2(A)) ) )).
fof(l16_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k1_algstr_0(A,B,D) = C ) ) ) ) )).
fof(l16_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => m1_rmod_2(C,A,k2_rmod_2(A,B)) ) ) ) )).
fof(l16_scmfsa_1,axiom,( r2_tarski(k4_ordinal1,k9_xtuple_0(k4_scmfsa_1)) )).
fof(l16_scmpds_8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => r1_tarski(k61_valued_1(A,1),k1_scmpds_8(B,C,A)) ) ) ) )).
fof(l16_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => r1_xxreal_0(k5_compos_0(k1_scmringi(A),B),7) ) ) )).
fof(l16_scpqsort,axiom,( k4_card_1(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))) = 9 )).
fof(l16_series_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_xcmplx_0(k3_xcmplx_0(A,D),B) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,k3_series_1(C),D) = k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,k1_nat_1(D,1)),D),2),k3_xcmplx_0(D,B)),B) ) ) ) ) ) )).
fof(l16_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k1_square_1(k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(B,C),A),k7_xcmplx_0(k3_xcmplx_0(C,A),B)),k7_xcmplx_0(k3_xcmplx_0(A,B),C))) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(k3_xcmplx_0(C,A),B)),k1_square_1(k7_xcmplx_0(k3_xcmplx_0(A,B),C))),k1_square_1(k7_xcmplx_0(k3_xcmplx_0(B,C),A))),k3_xcmplx_0(2,k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)))) ) ) ) )).
fof(l16_sin_cos6,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(1,k28_sin_cos)) )).
fof(l16_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(A,k1_square_1(B)) ) ) ) ) )).
fof(l16_taylor_1,axiom,( ~ r1_xxreal_0(k4_power,1) )).
fof(l16_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) ) => ! [B] : ( ( v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => ! [D] : ( m1_borsuk_2(D,A,B,B) => ! [E] : ( m1_borsuk_2(E,A,B,B) => ! [F] : ( m1_borsuk_2(F,A,B,B) => ! [G] : ( m1_borsuk_2(G,A,B,B) => ! [H] : ( m1_borsuk_6(H,A,B,B,D,E) => ! [I] : ( m1_borsuk_6(I,A,B,B,F,G) => ( ( r3_borsuk_2(A,B,B,D,E) & r3_borsuk_2(A,B,B,F,G) ) => ( k1_binop_1(k11_topalg_7(A,H,I),C,k5_numbers) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k5_topalg_7(A,B,D,F),C) & k1_binop_1(k11_topalg_7(A,H,I),C,1) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k5_topalg_7(A,B,E,G),C) & k1_binop_1(k11_topalg_7(A,H,I),k5_numbers,C) = B & k1_binop_1(k11_topalg_7(A,H,I),1,C) = B ) ) ) ) ) ) ) ) ) ) ) )).
fof(l16_topgen_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) & u1_pre_topc(k2_topgen_3) = k1_cantor_1(k1_numbers,A) & A = a_0_0_topgen_3 ) )).
fof(l16_topreal2,axiom,( ~ r2_tarski(k19_euclid(1,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1))) )).
fof(l16_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( v11_aff_2(A) & r1_aff_1(A,B,C,H) & r2_analoaf(A,B,C,D,F) & r2_analoaf(A,B,C,E,G) & r2_analoaf(A,B,D,C,F) & r2_analoaf(A,B,E,C,G) & r2_analoaf(A,D,F,H,I) & r2_analoaf(A,E,G,H,J) & r2_analoaf(A,D,H,F,I) & r2_analoaf(A,E,H,G,J) ) => ( B = C | r1_aff_1(A,B,C,D) | r1_aff_1(A,B,C,E) | I = J ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l16_uniform1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_xxreal_0(1,k3_finseq_1(B)) => ( k1_funct_1(k7_finseq_1(B,k9_finseq_1(A)),1) = k1_funct_1(B,1) & k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),k1_nat_1(k3_finseq_1(B),1)) = k1_funct_1(B,k3_finseq_1(B)) ) ) ) )).
fof(l16_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( u1_struct_0(C) = u1_struct_0(D) => ( k1_vectsp_5(A,B,E,C) = k1_vectsp_5(A,B,E,D) & k1_vectsp_5(A,B,C,E) = k1_vectsp_5(A,B,D,E) ) ) ) ) ) ) ) )).
fof(l16_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ~ ( ? [B] : ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v2_waybel_8(B) & l1_orders_2(B) & ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v2_funct_2(C,u1_struct_0(A)) & v17_waybel_0(C,B,A) & v22_waybel_0(C,B,A) ) ) & ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))) & v6_waybel_1(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))))) ) => ~ ( v22_waybel_0(C,k2_yellow_1(B),k2_yellow_1(B)) & r5_waybel_1(A,k1_yellow_2(k2_yellow_1(B),k2_yellow_1(B),C)) ) ) ) ) ) )).
fof(l16_waybel25,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = k1_tarski(B) & E = k1_tarski(C) ) => ( r2_tarski(B,k2_pre_topc(A,E)) <=> r1_tarski(k2_pre_topc(A,D),k2_pre_topc(A,E)) ) ) ) ) ) ) ) )).
fof(l16_waybel_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_pboole(D,A,B,k7_funcop_1(A,C)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_relset_1(k4_card_3(k1_funct_6(D)),k2_pralg_2(D))) => ! [F] : ( r2_tarski(F,A) => r2_tarski(k1_funct_1(E,F),k1_funct_1(B,F)) ) ) ) ) ) ) )).
fof(l16_xreal_0,axiom,( k4_xcmplx_0(1) = k5_arytm_0(c5__xreal_0,c6__xreal_0) & k5_numbers = k5_arytm_0(k1_arytm_0(c3__xreal_0,c5__xreal_0),k1_arytm_0(c4__xreal_0,c6__xreal_0)) )).
fof(l16_xreal_1,axiom,( m1_subset_1(k5_numbers,k2_arytm_2) )).
fof(l16_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r1_xxreal_0(k1_xxreal_0,A) => A = k1_xxreal_0 ) ) )).
fof(l16_xxreal_3,axiom,( k2_xxreal_3(k1_xxreal_3(k1_xxreal_0,k2_xxreal_0)) = k3_xxreal_3(k2_xxreal_3(k2_xxreal_0),k1_xxreal_0) )).
fof(l16_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) => ! [D] : ( ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,D) & r1_xboole_0(B,E) ) ) ) ) ) ) ) )).
fof(l16_zf_fund1,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( k1_relset_1(A,k2_partfun1(k4_ordinal1,B,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,B,k2_zf_fund1,C),A)) = A & r1_tarski(k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,B,k2_zf_fund1,C),A)),B) & r2_tarski(k2_partfun1(k4_ordinal1,B,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,B,k2_zf_fund1,C),A),k9_funct_2(A,B)) & k1_relset_1(k4_ordinal1,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,B,k2_zf_fund1,C)) = k4_ordinal1 ) ) ) ) )).
fof(l16_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => v2_zmodul06(k3_zmodul01(A)) ) )).
fof(l170_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(A,k2_tarski(B,k1_funct_1(C,B))) & v1_partit_2(C) & r2_tarski(B,k9_xtuple_0(C)) ) => k2_tarski(A,k1_funct_1(C,A)) = k2_tarski(B,k1_funct_1(C,B)) ) ) )).
fof(l170_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v4_funct_1(B) => ! [C] : ( ( v13_fomodel4(C,2,A) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ~ ( v1_finset_1(B) & v4_card_3(k30_fomodel2(A)) & ~ v10_fomodel4(B,A,C) & v7_fomodel4(C,A) & ! [D] : ( ( ~ v1_xboole_0(D) & v4_card_3(D) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(A,D)) => ~ v10_fomodel2(B,D,A,E) ) ) ) ) ) ) )).
fof(l170_group_9,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_tarski(A,k2_finseq_1(k1_nat_1(C,1))) & r2_tarski(B,k2_finseq_1(k1_nat_1(C,1))) & ~ r2_tarski(B,A) & ! [D] : ~ ( k14_finseq_1(D) = k3_relat_1(k14_finseq_1(A),k2_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(k1_nat_1(C,1)),k1_tarski(B))))) & r1_tarski(D,k2_finseq_1(C)) ) ) ) ) )).
fof(l170_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),3),k19_euclid(k5_numbers,3)),A) ) ) )).
fof(l170_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(A)) = k5_numbers & ! [B] : ( m2_finseq_1(B,k1_numbers) => ~ ( k1_rvsum_1(B) = k1_rvsum_1(A) & k3_finseq_1(B) = k4_card_1(k1_rvsum_1(A)) & v5_valued_0(B) ) ) ) ) )).
fof(l171_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v1_partit_2(C) & r2_tarski(A,k9_xtuple_0(C)) & r2_tarski(B,k9_xtuple_0(C)) ) => ( ( ~ r2_tarski(A,k2_tarski(B,k1_funct_1(C,B))) & ~ r2_tarski(k1_funct_1(C,A),k2_tarski(B,k1_funct_1(C,B))) ) | k2_tarski(A,k1_funct_1(C,A)) = k2_tarski(B,k1_funct_1(C,B)) ) ) ) )).
fof(l171_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),k19_euclid(1,3),k19_euclid(k5_numbers,3)),A) ) ) )).
fof(l171_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( m2_finseq_1(B,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(B)) = A & ! [C] : ( m2_finseq_1(C,k1_numbers) => ~ ( k1_rvsum_1(C) = k1_rvsum_1(B) & k3_finseq_1(C) = k4_card_1(k1_rvsum_1(B)) & v5_valued_0(C) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(B)) = k1_nat_1(A,1) & ! [C] : ( m2_finseq_1(C,k1_numbers) => ~ ( k1_rvsum_1(C) = k1_rvsum_1(B) & k3_finseq_1(C) = k4_card_1(k1_rvsum_1(B)) & v5_valued_0(C) ) ) ) ) ) ) )).
fof(l172_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,B) => k9_xtuple_0(k6_subset_1(B,A)) = k6_subset_1(k9_xtuple_0(B),k9_xtuple_0(A)) ) ) )).
fof(l172_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v1_orders_4(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ( r1_tarski(A,k30_fomodel2(B)) & v13_fomodel2(k35_fomodel2(B,C),A,B) ) => v9_fomodel4(k35_fomodel2(B,C),B,k39_fomodel4(B),A) ) ) ) )).
fof(l172_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3))),A) ) ) )).
fof(l172_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(B)) = A & ! [C] : ( m2_finseq_1(C,k1_numbers) => ~ ( k1_rvsum_1(C) = k1_rvsum_1(B) & k3_finseq_1(C) = k4_card_1(k1_rvsum_1(B)) & v5_valued_0(C) ) ) ) ) ) )).
fof(l173_fomodel0,axiom,( ! [A] : ( A != k1_xboole_0 => a_1_6_fomodel0(A) = A ) )).
fof(l173_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),k19_euclid(1,k4_xcmplx_0(3)),k19_euclid(k5_numbers,k4_xcmplx_0(3))),A) ) ) )).
fof(l174_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r2_hidden(k4_tarski(k4_tarski(A,B),k4_tarski(C,D)),k15_funct_3(E,F)) <=> ( r2_hidden(k4_tarski(A,C),E) & r2_hidden(k4_tarski(B,D),F) ) ) ) ) )).
fof(l174_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_jordan24(2,B,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) & r2_tarski(A,k3_subset_1(u1_struct_0(k15_euclid(2)),B)) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),3))) ) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),A,k19_euclid(k4_xcmplx_0(1),3)),B) ) ) ) )).
fof(l174_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers & k3_finseq_1(B) = k5_numbers & k1_rvsum_1(A) = k1_rvsum_1(B) & v5_valued_0(A) & v5_valued_0(B) ) => A = B ) ) ) )).
fof(l175_fomodel0,axiom,( ! [A] : ! [B] : ( A = B <=> ! [C] : ( r2_tarski(C,k2_xboole_0(A,B)) => ( r2_tarski(C,A) <=> r2_tarski(C,B) ) ) ) )).
fof(l175_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_jordan24(2,B,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) & r2_tarski(A,k3_subset_1(u1_struct_0(k15_euclid(2)),B)) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,3))) ) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),A,k19_euclid(1,3)),B) ) ) ) )).
fof(l175_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(B) = A & k3_finseq_1(C) = A & k1_rvsum_1(B) = k1_rvsum_1(C) & v5_valued_0(B) & v5_valued_0(C) ) => B = C ) ) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(B) = k1_nat_1(A,1) & k3_finseq_1(C) = k1_nat_1(A,1) & k1_rvsum_1(B) = k1_rvsum_1(C) & v5_valued_0(B) & v5_valued_0(C) ) => B = C ) ) ) ) ) )).
fof(l176_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(A,k15_funct_3(B,C)) => A = k4_tarski(k4_tarski(k1_xfamily(k1_xfamily(A)),k2_xfamily(k1_xfamily(A))),k4_tarski(k1_xfamily(k2_xfamily(A)),k2_xfamily(k2_xfamily(A)))) ) ) ) )).
fof(l176_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_jordan24(2,B,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) & r2_tarski(A,k3_subset_1(u1_struct_0(k15_euclid(2)),B)) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3)))) ) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),A,k19_euclid(k4_xcmplx_0(1),k4_xcmplx_0(3))),B) ) ) ) )).
fof(l176_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(B) = A & k3_finseq_1(C) = A & k1_rvsum_1(B) = k1_rvsum_1(C) & v5_valued_0(B) & v5_valued_0(C) ) => B = C ) ) ) ) )).
fof(l177_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => k3_xboole_0(k15_funct_3(A,B),k15_funct_3(C,D)) = k15_funct_3(k3_xboole_0(A,C),k3_xboole_0(B,D)) ) ) ) ) )).
fof(l177_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_jordan24(2,B,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) & r2_tarski(A,k3_subset_1(u1_struct_0(k15_euclid(2)),B)) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,k4_xcmplx_0(3)))) ) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),A,k19_euclid(1,k4_xcmplx_0(3))),B) ) ) ) )).
fof(l178_jordan,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r2_tarski(k19_euclid(k5_numbers,A),k1_sppol_2(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) & A != k4_xcmplx_0(3) & A != 3 ) ) )).
fof(l17_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_aff_4(A,B,C)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_aff_1(A,D,E,B) & r2_tarski(E,C) ) ) ) ) ) ) )).
fof(l17_afvect01,axiom,( ~ ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => A = B ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,B,A) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,A,A) => A = B ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [F] : ( m1_subset_1(F,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ( ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,E,F) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),C,D,E,F) ) => r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,C,D) ) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ? [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,C,C,B) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ( ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),E,A,E,B) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),E,C,E,D) ) => ( A = B | C = D | r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,C,B,D) ) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ~ ( A != B & ! [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ( ~ ( A != C & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,B,C) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ~ ( D != E & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,D,E) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,D,D,B) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,E,E,B) ) ) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [F] : ( m1_subset_1(F,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ( ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,B,F) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,C,D,E) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,D,D,C) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,E,E,C) ) => r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,C,C,F) ) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ~ ( A != D & B != C & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,B,D) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,C,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [F] : ( m1_subset_1(F,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ~ ( E != F & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,C,E,F) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,E,E,C) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,F,F,C) ) ) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [F] : ( m1_subset_1(F,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [G] : ( m1_subset_1(G,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ~ ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,B,D,E) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,C,F,G) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,D,D,B) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,F,F,C) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,E,E,B) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),A,G,G,C) & ! [H] : ( m1_subset_1(H,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ! [I] : ( m1_subset_1(I,u1_struct_0(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01))) => ~ ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,C,H,I) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,H,H,C) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_0_afvect01),c4__afvect01),B,I,I,C) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_0)) => k1_algstr_0(k3_algstr_0,A,B) = k1_algstr_0(k3_algstr_0,B,A) ) ) )).
fof(l17_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_3)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_3)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_algstr_3)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_algstr_3)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k3_algstr_3)) => ~ ( k1_algstr_3(k3_algstr_3,C,A,E) = k1_algstr_3(k3_algstr_3,D,A,F) & k1_algstr_3(k3_algstr_3,C,B,E) = k1_algstr_3(k3_algstr_3,D,B,F) & A != B & C != D ) ) ) ) ) ) ) )).
fof(l17_ami_2,axiom,( k1_afinsq_1(k6_afinsq_1(k4_ordinal1,k4_numbers)) = 2 )).
fof(l17_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( A = k11_arytm_3 => k1_arytm_1(B,A) = B ) ) ) )).
fof(l17_arytm_2,axiom,( r2_tarski(k11_arytm_3,k1_arytm_2) )).
fof(l17_arytm_3,axiom,( 1 = k1_ordinal1(k5_ordinal1) )).
fof(l17_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,6) & r1_xxreal_0(k2_power(2,A),k1_square_1(A)) ) ) )).
fof(l17_borsuk_2,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,u1_struct_0(k5_topmetr)) => r2_tarski(k6_xcmplx_0(1,A),u1_struct_0(k5_topmetr)) ) ) )).
fof(l17_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C = k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1)) => r1_xxreal_0(k9_complex1(C),k2_xcmplx_0(k9_complex1(A),k9_complex1(B))) ) ) ) ) )).
fof(l17_complex1,axiom,( k7_complex1 = k5_arytm_0(c1__complex1,c2__complex1) )).
fof(l17_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(C,k3_rlvect_2(A,B)) & ! [D] : ( m1_rlvect_2(D,A) => k3_rlvect_2(A,D) != C ) ) ) ) ) )).
fof(l17_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( r1_tarski(k1_rvsum_1(A),k6_domain_1(k4_ordinal1,k5_numbers)) => k18_rvsum_1(A) = k5_numbers ) ) )).
fof(l17_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( v1_funct_1(k1_funct_4(D,k17_funcop_1(C,k2_qc_lang3(A,B)))) & v1_funct_2(k1_funct_4(D,k17_funcop_1(C,k2_qc_lang3(A,B))),k3_qc_lang1(A),k3_qc_lang1(A)) & m1_subset_1(k1_funct_4(D,k17_funcop_1(C,k2_qc_lang3(A,B))),k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),k3_qc_lang1(A)))) ) ) ) ) ) )).
fof(l17_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => v2_cqc_the1(k10_cqc_lang(A,B,B),A) ) ) )).
fof(l17_csspace2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) <=> ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v2_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(A),k2_comseq_2(k4_ordinal1,k2_csspace(A)))) ) ) )).
fof(l17_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k4_dblseq_2(A),B,C) = k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,C) ) ) ) )).
fof(l17_dtconstr,axiom,( r1_lang1(k5_dtconstr,c3__dtconstr,k3_pre_poly(u1_struct_0(k5_dtconstr),c3__dtconstr)) )).
fof(l17_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_endalg(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_endalg(A,B))) => ( D = k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)) => ( k6_algstr_0(k6_endalg(A,B),C,D) = C & k6_algstr_0(k6_endalg(A,B),D,C) = C ) ) ) ) ) ) )).
fof(l17_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_enumset1(A,B,C),k2_tarski(D,E)) )).
fof(l17_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( A = k19_euclid(k5_ordinal1,k5_ordinal1) & B = k19_euclid(k5_ordinal1,1) & C = k19_euclid(k7_xcmplx_0(k3_square_1(3),2),k7_xcmplx_0(1,2)) ) => ( A != B & B != C & A != C & B != A & C != B & C != A ) ) ) ) ) )).
fof(l17_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( m1_subset_1(C,k2_numbers) => ( k2_xcmplx_0(k3_complex2(A,B),k3_complex2(B,C)) = k3_complex2(A,C) | k2_xcmplx_0(k3_complex2(A,B),k3_complex2(B,C)) = k2_xcmplx_0(k3_complex2(A,C),k3_xcmplx_0(2,k28_sin_cos)) ) ) ) ) )).
fof(l17_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ( D = k1_euclid_8(A,B,C) => k22_rvsum_1(D,D) = k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)) ) ) ) ) ) )).
fof(l17_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v2_conmetr(A) <=> v2_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(l17_extreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & v3_funct_2(C,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1))))) ) => ! [D] : ( m2_finseq_1(D,k6_numbers) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ( ( D = k1_partfun1(k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(k1_nat_1(A,1)),k4_ordinal1,k6_numbers,C,E) & r2_tarski(B,k2_finseq_1(k1_nat_1(A,1))) & k3_finseq_1(E) = k1_nat_1(A,1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k2_finseq_1(k1_nat_1(A,1))) => ( ( ~ r1_xxreal_0(B,F) => k1_funct_1(C,F) = F ) & ( F = B => k1_funct_1(C,F) = k1_nat_1(A,1) ) & ( ~ r1_xxreal_0(F,B) => k1_funct_1(C,F) = k6_xcmplx_0(F,1) ) ) ) ) ) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,E)) | k4_extreal1(D) = k4_extreal1(E) ) ) ) ) ) ) ) )).
fof(l17_fdiff_2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l17_fib_num,axiom,( k1_square_1(k1_fib_num) = k2_xcmplx_0(k1_fib_num,1) & k1_square_1(k2_fib_num) = k2_xcmplx_0(k2_fib_num,1) )).
fof(l17_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v2_binop_1(D,A) & v1_binop_1(D,A) & v2_funct_1(B) & v2_funct_1(C) & k10_xtuple_0(B) = k10_xtuple_0(C) & r1_xxreal_0(1,k3_finseq_1(B)) ) => k1_finsop_1(A,B,D) = k1_finsop_1(A,C,D) ) ) ) ) ) )).
fof(l17_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) & k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),G) ) ) ) ) ) ) ) ) ) )).
fof(l17_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k12_gfacirc1(A,B,C)) & H = k1_funct_1(F,D) & I = k1_funct_1(F,E) ) => ( k1_funct_1(k6_circuit2(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k3_facirc_1)) = k9_margrel1(G,I) & k1_funct_1(k6_circuit2(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(E,D),k3_facirc_1)) = k9_margrel1(I,H) & k1_funct_1(k6_circuit2(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1)) = k9_margrel1(H,G) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,C) ) => k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,k2_fuzzy_1(k2_zfmisc_1(B,C),E,F),G,H))) = k4_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,G,H))),k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,F,G,H)))) ) ) ) ) ) ) ) )).
fof(l17_gaussint,axiom,( ~ v2_struct_0(k6_gaussint) & v13_algstr_0(k6_gaussint) & v2_rlvect_1(k6_gaussint) & v3_rlvect_1(k6_gaussint) & v4_rlvect_1(k6_gaussint) & v3_group_1(k6_gaussint) & v4_vectsp_1(k6_gaussint) & v5_vectsp_1(k6_gaussint) & l6_algstr_0(k6_gaussint) )).
fof(l17_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => k3_gfacirc2(A,B,C) != k4_tarski(D,E) ) ) ) ) )).
fof(l17_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ? [D] : ( m3_glib_001(D,A) & r1_glib_001(A,B,C,D) ) ) ) => v1_glib_002(A) ) ) )).
fof(l17_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ( r5_glib_000(A,k5_relat_1(A,k2_glib_004)) & k5_glib_003(A) = k5_glib_003(k5_relat_1(A,k2_glib_004)) ) ) )).
fof(l17_goboard5,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => k4_finseq_1(k1_goboard1(A)) = k4_finseq_1(A) ) )).
fof(l17_goboard6,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = g1_pre_topc(u1_struct_0(k14_euclid(2)),k2_pcomps_1(k14_euclid(2))) )).
fof(l17_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_8_gobrd11(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(l17_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k2_xboole_0(B,C) => ( r2_hidden(A,k9_xtuple_0(D)) <=> ( r2_hidden(A,k9_xtuple_0(B)) | r2_hidden(A,k9_xtuple_0(C)) ) ) ) ) ) ) )).
fof(l17_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => m1_group_6(k1_grnilp_1(A,C,B),A,C) ) ) ) )).
fof(l17_group_9,axiom,( v5_group_9(k10_matrix_1(2)) )).
fof(l17_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & v6_anproj_2(A) & v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,J) & r1_collsp(A,E,F,J) & r1_collsp(A,C,D,H) & r1_collsp(A,F,G,H) & r1_collsp(A,B,D,I) & r1_collsp(A,E,G,I) & r1_collsp(A,K,B,E) & r1_collsp(A,K,C,F) & r1_collsp(A,K,D,G) ) => ( K = E | K = F | r1_collsp(A,K,B,C) | r1_collsp(A,K,B,D) | r1_collsp(A,K,C,D) | ( ~ r1_collsp(A,B,C,D) & ~ r1_collsp(A,E,F,G) ) | r1_collsp(A,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ( ! [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(D,B) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(E,C) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),E,D) ) ) ) ) => r3_lattices(k11_normform(A),B,C) ) ) ) )).
fof(l17_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ~ ( v1_partit_2(A) & k6_subset_1(k1_relat_1(A),k32_fomodel0(A)) != k1_xboole_0 & r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) & k3_hilbert4(A) = k1_xboole_0 ) ) )).
fof(l17_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( v4_aff_2(A) & r1_aff_1(A,D,B,C) & r1_aff_1(A,D,B,F) & r1_aff_1(A,D,H,E) & r2_analoaf(A,B,H,C,E) ) => ( D = B | ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( ~ r1_aff_1(A,D,B,I) & r1_aff_1(A,D,I,J) & r2_analoaf(A,B,I,C,J) & r2_analoaf(A,I,F,J,G) & r1_aff_1(A,D,B,G) ) ) ) | r1_aff_1(A,D,B,H) | r2_analoaf(A,F,H,G,E) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_huffman1,axiom,( ! [A] : ( v1_finset_1(A) => ~ ( r1_xxreal_0(2,k4_card_1(A)) & ! [B] : ! [C] : ~ ( B != C & r2_hidden(B,A) & r2_hidden(C,A) ) ) ) )).
fof(l17_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ~ ( r1_xxreal_0(A,B) & ! [C] : ( v7_ordinal1(C) => k2_xcmplx_0(A,C) != B ) ) ) ) )).
fof(l17_integr11,axiom,( k9_xtuple_0(k1_fcont_1(2,k5_numbers)) = k2_subset_1(k1_numbers) )).
fof(l17_integr15,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(C) & k1_seq_2(A) = k1_seq_2(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,A,D),k3_funct_2(k4_ordinal1,k1_numbers,B,D)) ) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,B,D),k3_funct_2(k4_ordinal1,k1_numbers,C,D)) ) ) => ( v2_comseq_2(B) & k1_seq_2(A) = k1_seq_2(B) & k1_seq_2(C) = k1_seq_2(B) ) ) ) ) ) )).
fof(l17_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & v3_lopban_1(D) & l1_normsp_1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_nfcont_3(E,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(D)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,E)) & r2_hidden(C,k3_integra5(A,B)) ) => ( B = C | k6_integr18(D,E,A,B) = k3_rlvect_1(D,k6_integr18(D,E,A,C),k6_integr18(D,E,C,B)) ) ) ) ) ) ) ) )).
fof(l17_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( E = k6_xcmplx_0(k3_finseq_1(C),1) & r2_hidden(A,k2_integra1(B,C,k3_finseq_1(C))) & r1_xxreal_0(2,k3_finseq_1(C)) & r1_integra1(C,D) & k1_rvsum_1(D) = k4_subset_1(k1_numbers,k1_rvsum_1(C),k1_seq_4(A)) ) => k1_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(B,C,D,E),D)) = k1_rvsum_1(k17_finseq_1(k1_numbers,E,C)) ) ) ) ) ) ) )).
fof(l17_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( k3_integra1(A) = k5_numbers & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ~ ( v2_comseq_2(k2_integra3(A,B)) & k1_seq_2(k2_integra3(A,B)) = k5_numbers ) ) ) ) )).
fof(l17_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k3_funct_2(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),k1_numbers,k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),B) = k1_funct_1(k4_pscomp_1,B) ) ) )).
fof(l17_jgraph_6,axiom,( k17_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k4_xcmplx_0(1) )).
fof(l17_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v9_rltopsp1(A,k15_euclid(2)) => ! [B] : ( v1_xreal_0(B) => ~ ( k1_jordan2c(2,A) != k1_xboole_0 & ~ r1_xxreal_0(k7_pscomp_1(k1_jordan2c(2,A)),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,k1_jordan2c(2,A)) => r1_xxreal_0(k18_euclid(C),B) ) ) ) ) ) ) )).
fof(l17_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(k1_nat_1(k1_newton(2,A),3),B) & r1_xxreal_0(k1_nat_1(k11_newton(2,k1_nat_1(A,1)),3),k7_nat_d(k3_xcmplx_0(2,B),2)) ) ) ) )).
fof(l17_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,B)) => ( k1_funct_1(k10_glib_001(A,B,C),E) = k1_funct_1(B,E) & r2_tarski(E,k1_relset_1(k4_ordinal1,k10_glib_001(A,B,C))) ) ) ) ) ) ) )).
fof(l17_lpspacc1,axiom,( m1_subset_1(k4_xcmplx_0(k6_complex1),k2_numbers) )).
fof(l17_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_rlvect_1(A,k5_algstr_0(A,C,B),B) = C & k5_algstr_0(A,k3_rlvect_1(A,C,B),B) = C ) ) ) ) )).
fof(l17_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k4_struct_0(A) ) ) => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(l17_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => v1_matrixj1(k10_laplace(k3_finseq_2(A),B),A) ) ) )).
fof(l17_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(C,D) & ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),D,D) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ~ ( k12_matrix_3(D,k2_vectsp_1,E) = k5_struct_0(k2_vectsp_1) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,B,B) = k19_sin_cos(A) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,C,C) = k19_sin_cos(A) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,B,C) = k17_sin_cos(A) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,C,B) = k4_xcmplx_0(k17_sin_cos(A)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( r2_hidden(k4_tarski(F,G),k2_matrix_0(E)) => ( ( F = G => ( F = B | F = C | k3_matrix_0(u1_struct_0(k2_vectsp_1),E,F,F) = k5_struct_0(k2_vectsp_1) ) ) & ~ ( F != G & k4_matrix13(F,G) != k4_matrix13(B,C) & k3_matrix_0(u1_struct_0(k2_vectsp_1),E,F,G) != k4_struct_0(k2_vectsp_1) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),D)) = D ) ) ) ) ) )).
fof(l17_measure5,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => r1_xxreal_0(k5_numbers,k2_measure5(A)) ) )).
fof(l17_measure7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( v6_xxreal_2(k8_nat_1(k9_setfam_1(k1_numbers),c1__measure7,A)) & m1_subset_1(k8_nat_1(k9_setfam_1(k1_numbers),c1__measure7,A),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(l17_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc2(A,B,C) & v6_supinf_2(C) & ? [D] : ( r2_tarski(D,k1_relset_1(A,C)) & k1_supinf_2 = k12_supinf_2(C,D) ) & ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ~ ( r1_mesfunc3(A,B,C,D,E) & k12_supinf_2(E,1) = k1_supinf_2 & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(2,F) & r2_tarski(F,k4_finseq_1(E)) ) => ( ~ r1_xxreal_0(k12_supinf_2(E,F),k1_supinf_2) & ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => k4_struct_0(k10_funcsdom(k2_finseq_1(A))) = k4_struct_0(k15_euclid(A)) ) )).
fof(l17_moebius2,axiom,( r1_nat_d(2,k2_nat_1(2,6)) )).
fof(l17_nfcont_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_normsp_0(A,k5_algstr_0(A,B,C)) = k5_numbers <=> B = C ) ) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ ( k2_normsp_0(A,k5_algstr_0(A,B,C)) != k5_numbers & B = C ) & ~ ( B != C & k2_normsp_0(A,k5_algstr_0(A,B,C)) = k5_numbers ) ) ) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ ( ~ r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,B,C)),k5_numbers) & B = C ) & ~ ( B != C & r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,B,C)),k5_numbers) ) ) ) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_normsp_0(A,k5_algstr_0(A,B,C)) = k2_normsp_0(A,k5_algstr_0(A,C,B)) ) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,B,D))) & ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,D,C))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) ) ) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,B,D))) & ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,C,D))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) ) ) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(C,k2_normsp_0(A,B)) ) ) => B = k4_struct_0(A) ) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) => B = C ) ) ) ) )).
fof(l17_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( k8_nat_1(k4_numbers,C,k5_numbers) = A & k8_nat_1(k4_numbers,D,k5_numbers) = B & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_numbers,C,k1_nat_1(E,1)) = k8_nat_1(k4_numbers,D,E) & k8_nat_1(k4_numbers,D,k1_nat_1(E,1)) = k5_int_1(k8_nat_1(k4_numbers,C,E),k8_nat_1(k4_numbers,D,E)) ) ) ) => ( ~ v1_xboole_0(a_1_1_ntalgo_1(D)) & m1_subset_1(a_1_1_ntalgo_1(D),k1_zfmisc_1(k4_ordinal1)) ) ) ) ) ) ) )).
fof(l17_numbers,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ~ ( k9_ordinal3(A,A) = k9_ordinal3(2,B) & ! [C] : ( ( v3_ordinal1(C) & v7_ordinal1(C) ) => A != k9_ordinal3(2,C) ) ) ) ) )).
fof(l17_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(k1_rcomp_1(B,C),k1_relset_1(k1_numbers,G)) & r2_hidden(D,k1_rcomp_1(B,C)) & r2_hidden(E,k1_rcomp_1(B,C)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k1_rcomp_1(k3_xxreal_0(D,E),k4_xxreal_0(D,E))) => r1_xxreal_0(k2_normsp_0(A,k7_partfun1(u1_struct_0(A),G,H)),F) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k6_integr18(A,G,D,E)),k3_xcmplx_0(F,k9_complex1(k6_xcmplx_0(E,D)))) ) ) ) ) ) ) ) ) )).
fof(l17_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(3)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( E = k11_finseq_1(A,B,C) & r3_pdiff_1(3,2,F,E) ) => ( D = k1_fdiff_1(k1_pdiff_2(3,2,F,E),B) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & E = k11_finseq_1(G,H,I) & ? [J] : ( m1_rcomp_1(J,H) & r1_tarski(J,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,F,E))) & ? [K] : ( v1_funct_1(K) & v3_fdiff_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [L] : ( v1_funct_1(L) & v2_fdiff_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & D = k1_funct_1(K,1) & ! [M] : ( v1_xreal_0(M) => ( r2_hidden(M,J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,F,E),M),k1_funct_1(k1_pdiff_2(3,2,F,E),H)) = k2_xcmplx_0(k1_funct_1(K,k6_xcmplx_0(M,H)),k1_funct_1(L,k6_xcmplx_0(M,H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k3_nat_d(k3_xcmplx_0(A,k11_newton(2,k1_nat_1(B,1))),2) = k3_xcmplx_0(A,k1_newton(2,B)) ) ) )).
fof(l17_polyeq_1,axiom,( ~ v1_abian(3) )).
fof(l17_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k4_ordinal1,k3_finseq_2(k4_ordinal1)) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k3_finseq_2(k4_ordinal1)) => ! [D] : ( m2_finseq_2(D,k4_ordinal1,k3_finseq_2(k4_ordinal1)) => ( ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k1_nat_1(A,2) = k2_nat_1(2,E) => C = k8_finseq_1(k4_ordinal1,B,k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,B,E))) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k1_nat_1(A,2) = k1_nat_1(k2_nat_1(2,E),1) => C = k8_finseq_1(k4_ordinal1,B,k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,B,E),k7_partfun1(k4_ordinal1,B,k1_nat_1(E,1))))) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k1_nat_1(A,2) = k2_nat_1(2,E) => D = k8_finseq_1(k4_ordinal1,B,k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,B,E))) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k1_nat_1(A,2) = k1_nat_1(k2_nat_1(2,E),1) => D = k8_finseq_1(k4_ordinal1,B,k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,B,E),k7_partfun1(k4_ordinal1,B,k1_nat_1(E,1))))) ) ) ) => C = D ) ) ) ) ) )).
fof(l17_prob_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => r2_funct_2(k4_ordinal1,k1_zfmisc_1(A),k2_prob_1(A,k11_funct_7(k1_zfmisc_1(A),B,C)),k11_funct_7(k1_zfmisc_1(A),k3_subset_1(A,B),k3_subset_1(A,C))) ) ) )).
fof(l17_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,k6_cqc_lang(A,k6_cqc_lang(A,B)),C),k7_cqc_lang(A,B,C)),k4_cqc_the1(A)) ) ) ) )).
fof(l17_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k4_prvect_2(A))) => ! [C] : ( m1_subset_1(C,k4_card_3(k4_prvect_2(A))) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(k4_prvect_2(A))) => ( k8_prvect_1(k4_prvect_2(A),k4_binop_1(k4_card_3(k4_prvect_2(A)),k12_prvect_1(k4_prvect_2(A),k6_prvect_2(A)),B,C),D) = k1_binop_1(u1_algstr_0(k5_prvect_2(A,D)),k8_prvect_1(k4_prvect_2(A),B,D),k8_prvect_1(k4_prvect_2(A),C,D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k5_prvect_2(A,D))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_prvect_2(A,D))) => ( ( E = k8_prvect_1(k4_prvect_2(A),B,D) & F = k8_prvect_1(k4_prvect_2(A),C,D) ) => k8_prvect_1(k4_prvect_2(A),k4_binop_1(k4_card_3(k4_prvect_2(A)),k12_prvect_1(k4_prvect_2(A),k6_prvect_2(A)),B,C),D) = k3_rlvect_1(k5_prvect_2(A,D),E,F) ) ) ) ) ) ) ) ) )).
fof(l17_qmax_1,axiom,( ! [A] : ( m1_subset_1(A,k2_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ! [B] : ( m1_subset_1(B,k2_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ( ! [C] : ( m1_subset_1(C,k3_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => r2_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1),A,C),k4_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1),B,C)) ) => A = B ) ) ) & ! [A] : ( m1_subset_1(A,k3_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ! [B] : ( m1_subset_1(B,k3_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ( ! [C] : ( m1_subset_1(C,k2_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => r2_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1),C,A),k4_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1),C,B)) ) => A = B ) ) ) & ! [A] : ( m1_subset_1(A,k3_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ! [B] : ( m1_subset_1(B,k3_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) & ! [D] : ( m1_subset_1(D,k3_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ~ ! [E] : ( m1_subset_1(E,k2_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1))) => ! [F] : ( m1_prob_1(F,k1_numbers,k12_prob_1) => k3_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1),E,D),F) = k2_xcmplx_0(k3_xcmplx_0(C,k3_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1),E,A),F)),k3_xcmplx_0(k6_xcmplx_0(1,C),k3_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(g1_qmax_1(k6_domain_1(k4_ordinal1,k5_numbers),k6_domain_1(k4_ordinal1,k5_numbers),c5__qmax_1),E,B),F))) ) ) ) ) ) ) ) )).
fof(l17_random_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k9_xtuple_0(A) = k2_finseq_1(1) => A = k9_finseq_1(k1_funct_1(A,1)) ) ) )).
fof(l17_realset2,axiom,( k9_xtuple_0(k13_funcop_1(1,k5_numbers,k5_numbers)) = k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers)) )).
fof(l17_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => v7_valued_0(k3_rinfsup2(A)) ) )).
fof(l17_scmfsa_1,axiom,( k1_funct_1(k4_scmfsa_1,k4_ordinal1) = k5_numbers )).
fof(l17_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => r1_xxreal_0(k5_compos_0(k2_scmfsa_i,A),12) ) )).
fof(l17_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & k2_scmp_gcd = k1_scmp_gcd(k2_xcmplx_0(A,B)) ) ) ) )).
fof(l17_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( ~ ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,4) & k1_compos_0(B) = C ) ) => k2_compos_0(B) = k1_xboole_0 ) ) ) )).
fof(l17_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k1_scmp_gcd(2)) = C & k1_funct_1(B,k1_scmp_gcd(4)) = D & r1_xxreal_0(8,C) & r1_xxreal_0(8,D) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(3)) = k1_funct_1(B,k1_scmp_gcd(3)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(8,E) => k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(E)) = k1_funct_1(B,k1_scmp_gcd(E)) ) ) & ( ~ r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(D)),k1_funct_1(B,k1_scmp_gcd(C))) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(5)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(5)),1) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(4)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),1) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(7)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(5)),1) ) ) & ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(D)),k1_funct_1(B,k1_scmp_gcd(C))) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(5)) = k5_numbers & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(4)) = k1_funct_1(B,k1_scmp_gcd(4)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))),B,A),k1_scmp_gcd(7)) = k1_funct_1(B,k1_scmp_gcd(5)) ) ) ) ) ) ) ) ) )).
fof(l17_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ( k2_xcmplx_0(k2_xcmplx_0(A,B),C) = 1 => k6_xcmplx_0(k7_xcmplx_0(1,A),1) = k7_xcmplx_0(k2_xcmplx_0(B,C),A) ) ) ) ) )).
fof(l17_sincos10,axiom,( r2_tarski(k5_numbers,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) & r2_tarski(k7_xcmplx_0(k28_sin_cos,4),k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l17_topalg_2,axiom,( ! [A] : ( m1_pre_topc(A,k3_topmetr) => ( A = k3_topmetr => v2_topalg_2(A) ) ) )).
fof(l17_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v5_waybel23(A) & v3_topdim_1(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & v5_waybel23(B) & v3_topdim_1(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( ~ ( v2_struct_0(A) & v2_struct_0(B) ) => ( v3_topdim_1(k2_borsuk_1(A,B)) & r1_xxreal_0(k4_topdim_1(k2_borsuk_1(A,B)),k1_xxreal_3(k4_topdim_1(A),k4_topdim_1(B))) ) ) ) ) )).
fof(l17_topgen_3,axiom,( u1_pre_topc(k2_topgen_3) = k1_cantor_1(k1_numbers,c1__topgen_3) )).
fof(l17_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v3_topgen_4(B,A) ) ) )).
fof(l17_topgen_6,axiom,( u1_struct_0(k2_topgen_3) = k1_numbers )).
fof(l17_topreal2,axiom,( ~ r2_tarski(k19_euclid(1,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) )).
fof(l17_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_aff_1(A,B,C,F) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) & r2_analoaf(A,D,E,F,G) ) => ( B = C | r1_aff_1(A,B,C,D) | ( D != E & r1_aff_1(A,B,C,G) ) ) ) ) ) ) ) ) ) ) )).
fof(l17_uniroots,axiom,( v8_struct_0(k18_mod_2) )).
fof(l17_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => m1_vectsp_4(C,A,k2_vectsp_4(A,B)) ) ) ) )).
fof(l17_xreal_0,axiom,( c3__xreal_0 = 1 )).
fof(l17_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(k5_numbers,C) ) => r1_xxreal_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)) ) ) ) ) )).
fof(l17_xxreal_3,axiom,( k2_xxreal_3(k1_xxreal_0) = k2_xxreal_0 )).
fof(l17_yellow11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_yellow11(A) => ( v2_waybel_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( B != C & B != D & B != E & B != F & C != D & C != E & C != F & D != E & D != F & E != F & k12_lattice3(A,B,C) = B & k12_lattice3(A,B,D) = B & k12_lattice3(A,B,E) = B & k12_lattice3(A,C,F) = C & k12_lattice3(A,D,F) = D & k12_lattice3(A,E,F) = E & k12_lattice3(A,C,D) = B & k12_lattice3(A,C,E) = B & k12_lattice3(A,D,E) = B & k13_lattice3(A,C,D) = F & k13_lattice3(A,C,E) = F & k13_lattice3(A,D,E) = F ) ) ) ) ) ) ) ) ) )).
fof(l17_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ! [D] : ( ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,D) & r1_xboole_0(B,E) ) ) ) & ! [D] : ( ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(E,D) & r1_xboole_0(B,E) ) ) ) ) ) ) )).
fof(l17_zf_fund1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( k3_funct_2(k4_ordinal1,k1_zf_lang,k2_zf_fund1,k3_zf_fund1(C)) = C & k1_funct_1(k2_funct_1(k2_zf_fund1),C) = k3_zf_fund1(C) & k3_funct_2(k4_ordinal1,A,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,A,k2_zf_fund1,B),k3_zf_fund1(C)) = k3_funct_2(k1_zf_lang,A,B,C) ) ) ) ) )).
fof(l181_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => k33_fomodel0(A) = k33_fomodel0(k2_relat_1(A)) ) )).
fof(l182_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_hidden(B,k32_fomodel0(A)) <=> r1_abian(B,A) ) ) )).
fof(l182_group_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(B,A) <=> r1_xxreal_0(A,k6_xcmplx_0(B,1)) ) ) ) )).
fof(l183_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k32_fomodel0(k15_funct_3(A,B)) = k2_zfmisc_1(k32_fomodel0(A),k32_fomodel0(B)) ) ) )).
fof(l183_group_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( B = k7_finseq_1(k7_finseq_1(C,k9_finseq_1(k1_funct_1(B,A))),D) & k3_finseq_1(C) = k6_xcmplx_0(A,1) & k3_finseq_1(D) = k6_xcmplx_0(k3_finseq_1(B),A) ) ) ) ) ) ) )).
fof(l184_group_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( r2_tarski(A,k4_finseq_1(B)) & B = k7_finseq_1(k7_finseq_1(C,k9_finseq_1(E)),D) & k3_finseq_1(C) = k6_xcmplx_0(A,1) ) => k2_finseq_3(A,B) = k7_finseq_1(C,D) ) ) ) ) ) )).
fof(l185_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( ( v1_zfmisc_1(A) & v5_relat_1(B,A) ) => ( v1_xboole_0(A) | ( v1_relat_1(B) & v1_funct_1(B) & v3_funct_1(B) ) ) ) ) )).
fof(l185_group_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(A,k3_finseq_1(B)) => k2_finseq_3(A,k7_finseq_1(B,C)) = k7_finseq_1(k2_finseq_3(A,B),C) ) & ( r1_xxreal_0(1,A) => k2_finseq_3(k1_nat_1(k3_finseq_1(B),A),k7_finseq_1(B,C)) = k7_finseq_1(B,k2_finseq_3(A,C)) ) ) ) ) ) )).
fof(l185_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) => k17_euclid(k19_euclid(k5_numbers,3)) = k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2) ) ) )).
fof(l186_group_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => B = k2_finseq_3(k1_nat_1(D,1),k5_finseq_5(A,B,C,D)) ) ) ) ) ) )).
fof(l186_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) => k17_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(3))) = k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2) ) ) )).
fof(l186_relat_1,axiom,( ! [A] : ! [B] : ( v4_relat_1(k1_xboole_0,A) & v5_relat_1(k1_xboole_0,B) ) )).
fof(l18_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,k5_struct_0(A)) = D ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( D != k4_struct_0(A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k6_algstr_0(A,D,E) != k5_struct_0(A) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,D,E),F) = k6_algstr_0(A,D,k6_algstr_0(A,E,F)) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,k4_struct_0(A)) = k4_struct_0(A) ) & k6_algstr_0(A,B,C) = k5_struct_0(A) ) => ( k4_struct_0(A) = k5_struct_0(A) | k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) ) )).
fof(l18_ami_2,axiom,( r1_tarski(k10_xtuple_0(k3_ami_2),k9_xtuple_0(k4_ami_2)) )).
fof(l18_amistd_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_compos_1(k4_amistd_1(B))) => ( ( C = A & k5_compos_0(u1_compos_1(k4_amistd_1(B)),D) = 1 ) => k1_amistd_1(B,k4_amistd_1(B),C,D) = k6_domain_1(k4_ordinal1,k1_nat_1(A,1)) ) ) ) ) ) )).
fof(l18_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k4_amistd_1(A))) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k4_amistd_1(A)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,k4_amistd_1(A))) & ~ v1_xboole_0(D) & v1_finset_1(D) & v4_extpro_1(D,A,k4_amistd_1(A),C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(E,u1_struct_0(k4_amistd_1(A))) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(F,u1_struct_0(k4_amistd_1(A))) ) => ( ( r1_tarski(D,E) & r1_tarski(k9_memstr_0(A,k4_amistd_1(A),D,B),F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k4_amistd_1(A))) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k4_amistd_1(A))) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( r1_tarski(C,G) & r1_tarski(k6_compos_1(k4_amistd_1(A),C,B),H) ) => ! [I] : ( v7_ordinal1(I) => ( k2_xcmplx_0(k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),G,E,I)),B) = k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),H,F,I)) & k8_compos_0(u1_compos_1(k4_amistd_1(A)),k3_extpro_1(A,k4_amistd_1(A),G,k5_extpro_1(A,k4_amistd_1(A),G,E,I)),B) = k3_extpro_1(A,k4_amistd_1(A),H,k5_extpro_1(A,k4_amistd_1(A),H,F,I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => k1_arytm_1(k7_arytm_2(A,B),B) = A ) ) )).
fof(l18_arytm_2,axiom,( k8_subset_1(k1_zfmisc_1(k5_arytm_3),k1_arytm_2,k5_arytm_3) = k1_tarski(k11_arytm_3) )).
fof(l18_asympt_1,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,B,C) = k3_power(2,k2_power(C,A)) ) ) => ( v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,k3_asympt_1(A))) & k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,k3_asympt_1(A))) = k5_numbers ) ) ) ) )).
fof(l18_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_6(A,B,k2_xcmplx_0(D,C)) = k1_bcialg_1(A,k2_bcialg_6(A,B,C),k2_bcialg_1(A,k2_bcialg_6(A,B,D))) ) ) ) ) )).
fof(l18_brouwer,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => v1_pscomp_1(k8_funcop_1(k1_numbers,u1_struct_0(A),B),A) ) ) )).
fof(l18_c0sp1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l18_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ( B = C => k2_normsp_0(k5_c0sp2(A),B) = k2_normsp_0(k11_c0sp1(u1_struct_0(A)),C) ) ) ) ) )).
fof(l18_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ( ( v3_lopban_2(A) & v31_algstr_0(A) & v3_cayldick(A) & v8_rlvect_1(A) ) => ( ( ~ v6_vectsp_1(A) & ~ v3_vectsp_1(A) ) | k2_cayldick(A,k5_struct_0(A)) = k5_struct_0(A) ) ) ) )).
fof(l18_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k9_complex1(A),k9_complex1(k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1)))) & r1_xxreal_0(k9_complex1(B),k9_complex1(k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1)))) ) ) ) )).
fof(l18_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_tarski(k2_relset_1(k4_ordinal1,B),k2_finseq_1(A)) & r1_xxreal_0(C,k6_xcmplx_0(k3_finseq_1(B),1)) ) => ( r1_xxreal_0(1,k7_partfun1(k4_ordinal1,B,k1_nat_1(C,1))) & r1_xxreal_0(k7_partfun1(k4_ordinal1,B,k1_nat_1(C,1)),A) ) ) ) ) ) )).
fof(l18_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( r1_tarski(k2_relset_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),k4_struct_0(A))) => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(l18_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_qc_lang1(A),k9_qc_lang1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k9_qc_lang1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_qc_lang1(A),k9_qc_lang1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k9_qc_lang1(A)))) ) => ( ( ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k5_cqc_lang(A)) = k5_cqc_lang(A) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k10_qc_lang1(A,k16_qc_lang1(A,E),k1_cqc_lang(A,k17_qc_lang1(A,E),k2_cqc_lang(A,k3_qc_lang3(A,k5_numbers),B))) ) & ( v3_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k13_qc_lang1(A,k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k18_qc_lang1(A,E))) ) & ( v4_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k14_qc_lang1(A,k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k19_qc_lang1(A,E)),k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k20_qc_lang1(A,E))) ) & ( v5_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k16_funcop_1(k9_qc_lang1(A),k21_qc_lang1(A,E),B,E,k15_qc_lang1(A,k21_qc_lang1(A,E),k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k22_qc_lang1(A,E)))) ) ) ) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k5_cqc_lang(A)) = k5_cqc_lang(A) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k10_qc_lang1(A,k16_qc_lang1(A,E),k1_cqc_lang(A,k17_qc_lang1(A,E),k2_cqc_lang(A,k3_qc_lang3(A,k5_numbers),B))) ) & ( v3_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k13_qc_lang1(A,k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k18_qc_lang1(A,E))) ) & ( v4_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k14_qc_lang1(A,k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k19_qc_lang1(A,E)),k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k20_qc_lang1(A,E))) ) & ( v5_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k16_funcop_1(k9_qc_lang1(A),k21_qc_lang1(A,E),B,E,k15_qc_lang1(A,k21_qc_lang1(A,E),k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k22_qc_lang1(A,E)))) ) ) ) ) => r2_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,D) ) ) ) ) ) )).
fof(l18_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) & v2_cqc_the1(k8_cqc_lang(A,C,B),A) ) <=> v2_cqc_the1(k10_cqc_lang(A,B,C),A) ) ) ) ) )).
fof(l18_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_funct_2(k4_ordinal1,k2_numbers,A,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C)) <=> ! [D] : ( v7_ordinal1(D) => k1_funct_1(A,D) = k6_xcmplx_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) ) )).
fof(l18_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( v6_dblseq_1(A) & v1_seq_2(A) ) => ( v1_dblseq_1(A) & v2_dblseq_1(A) & v3_dblseq_1(A) ) ) ) )).
fof(l18_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) => E = k5_domain_1(A,B,C,D,k4_mcart_1(A,B,C,D,E),k5_mcart_1(A,B,C,D,E),k6_mcart_1(A,B,C,D,E),k7_mcart_1(A,B,C,D,E)) ) ) ) ) ) )).
fof(l18_dtconstr,axiom,( k1_lang1(k5_dtconstr) = a_0_10_dtconstr )).
fof(l18_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( A = k19_euclid(k5_ordinal1,k5_ordinal1) & B = k19_euclid(k5_ordinal1,1) & C = k19_euclid(k7_xcmplx_0(k3_square_1(3),2),k7_xcmplx_0(1,2)) ) => ( k4_euclid_3(C,A,B) = k4_euclid_3(A,B,C) & k4_euclid_3(A,B,C) = k4_euclid_3(B,C,A) ) ) ) ) ) )).
fof(l18_fib_fusc,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_ami_3)) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_ami_3)) => ! [D] : ( m1_subset_1(D,u1_compos_1(k1_ami_3)) => ! [E] : ( m1_subset_1(E,u1_compos_1(k1_ami_3)) => ! [F] : ( m1_subset_1(F,u1_compos_1(k1_ami_3)) => ! [G] : ( m1_subset_1(G,u1_compos_1(k1_ami_3)) => ! [H] : ( m1_subset_1(H,u1_compos_1(k1_ami_3)) => ! [I] : ( m1_subset_1(I,u1_compos_1(k1_ami_3)) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( r1_tarski(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(k5_afinsq_1(B),k5_afinsq_1(C)),k5_afinsq_1(D)),k5_afinsq_1(E)),k5_afinsq_1(F)),k5_afinsq_1(G)),k5_afinsq_1(H)),k5_afinsq_1(I)),k5_afinsq_1(J)),A) => ( k3_compos_1(k1_ami_3,A,k5_numbers) = B & k3_compos_1(k1_ami_3,A,1) = C & k3_compos_1(k1_ami_3,A,2) = D & k3_compos_1(k1_ami_3,A,3) = E & k3_compos_1(k1_ami_3,A,4) = F & k3_compos_1(k1_ami_3,A,5) = G & k3_compos_1(k1_ami_3,A,6) = H & k3_compos_1(k1_ami_3,A,7) = I & k3_compos_1(k1_ami_3,A,8) = J ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_fib_num,axiom,( ~ r1_xxreal_0(k3_square_1(5),2) )).
fof(l18_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( k3_finseq_1(B) = k5_numbers & v1_setwiseo(D,A) & v2_funct_1(B) & v2_funct_1(C) & k10_xtuple_0(B) = k10_xtuple_0(C) ) => k1_finsop_1(A,B,D) = k1_finsop_1(A,C,D) ) ) ) ) ) )).
fof(l18_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k1_binop_1(k11_monoid_0(A),B,C) = k1_monoid_0(A,B,C) ) ) ) )).
fof(l18_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ( ( r1_tarski(A,B) & v9_fomodel4(C,D,E,A) ) => v9_fomodel4(C,D,E,B) ) ) ) )).
fof(l18_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k12_gfacirc1(A,B,C)) & H = k1_funct_1(F,E) ) => k1_funct_1(k6_circuit2(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k1_facirc_1)) = k2_binarith(G,H) ) ) ) ) ) ) ) ) )).
fof(l18_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analoaf(A,B,D,C,E) => r1_geomtrap(A,B,D,k1_geomtrap(A,B,E),k1_geomtrap(A,D,C)) ) ) ) ) ) ) )).
fof(l18_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & k1_glib_002(A,B) = k6_glib_000(A) ) => v1_glib_002(A) ) ) )).
fof(l18_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => k1_relset_1(k2_glib_004,k5_relat_1(A,k2_glib_004)) = k2_glib_004 ) )).
fof(l18_goboard5,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => k4_finseq_1(k2_goboard1(A)) = k4_finseq_1(A) ) )).
fof(l18_groeb_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k15_pre_poly(A))) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,k2_groeb_3(A,B,C,D)),k3_polynom1(k15_pre_poly(A),B,C)) ) ) ) )).
fof(l18_group_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k4_finseq_1(A)) => ( m1_subset_1(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1),k4_ordinal1) & r1_xxreal_0(1,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1)) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1),k3_finseq_1(A)) ) ) ) ) )).
fof(l18_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & v6_anproj_2(A) & v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,J) & r1_collsp(A,E,F,J) & r1_collsp(A,C,D,H) & r1_collsp(A,F,G,H) & r1_collsp(A,B,D,I) & r1_collsp(A,E,G,I) & r1_collsp(A,K,B,E) & r1_collsp(A,K,C,F) & r1_collsp(A,K,D,G) & r1_collsp(A,K,C,L) & r1_collsp(A,B,D,L) ) => ( K = E | B = E | K = F | C = F | K = G | D = G | r1_collsp(A,K,B,C) | r1_collsp(A,K,B,D) | r1_collsp(A,K,C,D) | r1_collsp(A,K,H,J) | r1_collsp(A,H,J,L) | r1_collsp(A,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( k6_subset_1(k10_xtuple_0(A),k9_xtuple_0(A)) = k1_xboole_0 & v1_partit_2(A) ) => ( k6_subset_1(k1_relat_1(A),k32_fomodel0(A)) = k1_xboole_0 | ( k3_hilbert4(A) != k1_xboole_0 & k4_hilbert4(A) != k1_xboole_0 ) ) ) ) )).
fof(l18_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r1_aff_1(A,D,B,F) & r1_aff_1(A,D,B,H) ) => ( D = B | ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( ~ r1_aff_1(A,D,B,I) & r1_aff_1(A,D,I,J) & r2_analoaf(A,B,I,C,J) & r2_analoaf(A,I,F,J,G) & r1_aff_1(A,D,B,G) ) ) ) | ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( ~ r1_aff_1(A,D,B,I) & r1_aff_1(A,D,I,J) & r2_analoaf(A,B,I,C,J) & r2_analoaf(A,I,H,J,E) & r1_aff_1(A,D,B,E) ) ) ) | r2_analoaf(A,F,H,G,E) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_huffman1,axiom,( ! [A] : ( v1_finset_1(A) => ~ ( 1 = k4_card_1(A) & ! [B] : A != k1_tarski(B) ) ) )).
fof(l18_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ~ ( r1_xxreal_0(A,B) & ! [C] : ( v7_ordinal1(C) => k6_xcmplx_0(B,C) != A ) ) ) ) )).
fof(l18_integr11,axiom,( k9_xtuple_0(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4)))) = k1_numbers )).
fof(l18_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) & r1_tarski(A,k1_relset_1(k1_numbers,B)) ) => r1_integra5(A,B) ) ) ) )).
fof(l18_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(D)) & r1_integra5(k3_integra5(A,B),D) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(A,B))) & r2_hidden(C,k3_integra5(A,B)) ) => ( B = C | ( k4_integra5(A,B,D) = k2_xcmplx_0(k4_integra5(A,C,D),k4_integra5(C,B,D)) & r1_integra5(k3_integra5(A,C),D) & r1_integra5(k3_integra5(C,B),D) ) ) ) ) ) ) ) )).
fof(l18_jgraph_2,axiom,( k4_struct_0(k15_euclid(2)) = k16_euclid(2) )).
fof(l18_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A)) & v1_funct_2(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),k1_pre_topc(k15_euclid(2),A),k3_topmetr) & m1_subset_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(l18_jgraph_6,axiom,( k18_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k5_numbers )).
fof(l18_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v9_rltopsp1(A,k15_euclid(2)) => ! [B] : ( v1_xreal_0(B) => ~ ( k1_jordan2c(2,A) != k1_xboole_0 & ~ r1_xxreal_0(B,k9_pscomp_1(k1_jordan2c(2,A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,k1_jordan2c(2,A)) => r1_xxreal_0(B,k18_euclid(C)) ) ) ) ) ) ) )).
fof(l18_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k6_xcmplx_0(k1_nat_1(k7_nat_d(k3_xcmplx_0(2,A),2),1),2) = k6_xcmplx_0(k3_xcmplx_0(2,A),3) ) ) )).
fof(l18_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => ( r2_hidden(C,u1_struct_0(k4_topmetr(A,B))) <=> ( r1_xxreal_0(A,C) & r1_xxreal_0(C,B) ) ) ) ) ) ) )).
fof(l18_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_orders_2(A,C,B) => k1_yellow_0(A,k9_subset_1(u1_struct_0(A),k5_waybel_0(A,C),k3_lattice7(A))) = C ) ) => k1_yellow_0(A,k9_subset_1(u1_struct_0(A),k5_waybel_0(A,B),k3_lattice7(A))) = B ) ) ) )).
fof(l18_lattices,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ( ~ v2_struct_0(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & v10_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & l3_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) ) ) ) )).
fof(l18_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ~ ( ( A = k5_numbers => B = k5_numbers ) & k8_matrix13(C,D) = A & ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),k7_nat_d(B,A),B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => k8_matrix13(C,k8_matrlin(u1_struct_0(C),A,k7_nat_d(B,A),B,D,E)) != B ) ) ) ) ) ) )).
fof(l18_measure5,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v6_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,B) => r1_xxreal_0(k2_measure5(A),k2_measure5(B)) ) ) ) )).
fof(l18_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),C,G)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,H)),k1_rlvect_1(k15_euclid(2),A,H)) & r1_rltopsp1(k15_euclid(2),A,D,F) & r1_rltopsp1(k15_euclid(2),B,E,F) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | H = 1 | ( k2_xcmplx_0(k6_xcmplx_0(1,H),k3_xcmplx_0(G,H)) != k5_numbers & ? [I] : ( v1_xreal_0(I) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,I)),k1_rlvect_1(k15_euclid(2),D,I)) & I = k7_xcmplx_0(k6_xcmplx_0(1,H),k2_xcmplx_0(k6_xcmplx_0(1,H),k3_xcmplx_0(G,H))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( m1_subset_1(E,C) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( E = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & E = k1_relset_1(A,F) & ! [G] : ( v7_ordinal1(G) => r1_mesfunc1(A,C,k4_mesfunc5(A,k6_numbers,B,G),E) ) & r1_mesfunc5(A,C,D,F) & v6_supinf_2(F) & ! [G] : ( m1_subset_1(G,A) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(G,E) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,H)),G),k12_supinf_2(F,G)) ) ) ) & k18_mesfunc1(A,F,k1_supinf_1) = k1_xboole_0 & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( ! [H] : ( v7_ordinal1(H) => k12_supinf_2(G,H) = k7_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,H)) ) & r1_xxreal_0(k7_mesfunc5(A,C,D,k5_mesfunc8(A,B)),k6_rinfsup2(G)) & r1_xxreal_0(k5_rinfsup2(G),k7_mesfunc5(A,C,D,k6_mesfunc8(A,B))) & ( ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,E) => v10_mesfunc5(k3_mesfunc5(A,B,H)) ) ) => ( v10_mesfunc5(G) & k2_mesfunc5(G) = k7_mesfunc5(A,C,D,k7_mesfunc8(A,B)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_metrizts,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => k2_card_2(k4_ordinal1,A) = A ) )).
fof(l18_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) => ! [C] : ( m1_subset_1(C,u4_struct_0(k6_msualg_1(A))) => m5_margrel1(k5_msualg_1(k6_msualg_1(A),C,k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B))),u1_struct_0(B),k1_unialg_2(B)) ) ) ) ) )).
fof(l18_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v2_nagata_1(B,A) ) ) )).
fof(l18_ndiff_3,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l18_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_mazurulm(C,A,B) & v1_nfcont_1(D,A) ) => v1_nfcont_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) )).
fof(l18_nfcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(C,k9_complex1(k3_xcmplx_0(B,k2_power(A,D)))) ) ) ) ) ) )).
fof(l18_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => k3_int_2(A,k5_numbers) = k1_int_2(A) ) )).
fof(l18_numbers,axiom,( m1_subset_1(1,k5_arytm_3) )).
fof(l18_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v6_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l18_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(D,E) & r1_tarski(k1_rcomp_1(B,C),k1_relset_1(k1_numbers,G)) & r2_hidden(D,k1_rcomp_1(B,C)) & r2_hidden(E,k1_rcomp_1(B,C)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k1_rcomp_1(D,E)) => r1_xxreal_0(k2_normsp_0(A,k7_partfun1(u1_struct_0(A),G,H)),F) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k6_integr18(A,G,D,E)),k3_xcmplx_0(F,k6_xcmplx_0(E,D))) ) ) ) ) ) ) ) ) )).
fof(l18_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B != C & D != C & r1_analoaf(A,B,C,C,D) & ! [E] : ( v1_xreal_0(E) => ~ ( k5_algstr_0(A,C,B) = k1_rlvect_1(A,k5_algstr_0(A,D,C),E) & ~ r1_xxreal_0(E,k5_numbers) ) ) ) ) ) ) ) )).
fof(l18_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(3)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( E = k11_finseq_1(A,B,C) & r3_pdiff_1(3,3,F,E) ) => ( D = k1_fdiff_1(k1_pdiff_2(3,3,F,E),C) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & E = k11_finseq_1(G,H,I) & ? [J] : ( m1_rcomp_1(J,I) & r1_tarski(J,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,F,E))) & ? [K] : ( v1_funct_1(K) & v3_fdiff_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [L] : ( v1_funct_1(L) & v2_fdiff_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & D = k1_funct_1(K,1) & ! [M] : ( v1_xreal_0(M) => ( r2_hidden(M,J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,F,E),M),k1_funct_1(k1_pdiff_2(3,3,F,E),I)) = k2_xcmplx_0(k1_funct_1(K,k6_xcmplx_0(M,I)),k1_funct_1(L,k6_xcmplx_0(M,I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(A,C) => r1_nat_d(k1_newton(B,A),k1_newton(B,C)) ) ) ) ) )).
fof(l18_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_ordinal1(A)) => ! [C] : ( m1_subset_1(C,k1_ordinal1(A)) => ~ ( r2_tarski(k1_domain_1(k1_ordinal1(A),k1_ordinal1(A),B,C),k3_poset_2(A)) & B != A & B != C ) ) ) ) )).
fof(l18_pre_ff,axiom,( m2_finseq_2(k12_finseq_1(k4_ordinal1,1),k4_ordinal1,k3_finseq_2(k4_ordinal1)) )).
fof(l18_prob_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) => ! [C] : ( v7_ordinal1(C) => k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),C) = k1_prob_2(A,k9_setfam_1(A),B,C) ) ) ) )).
fof(l18_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k4_card_3(k4_prvect_2(A))) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(k4_prvect_2(A))) => ( k8_prvect_1(k4_prvect_2(A),k2_binop_1(k1_numbers,k4_card_3(k4_prvect_2(A)),k4_card_3(k4_prvect_2(A)),k2_prvect_2(k4_prvect_2(A),k1_numbers,k9_prvect_2(A)),B,C),D) = k1_binop_1(u1_rlvect_1(k5_prvect_2(A,D)),B,k8_prvect_1(k4_prvect_2(A),C,D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k5_prvect_2(A,D))) => ( E = k8_prvect_1(k4_prvect_2(A),C,D) => k8_prvect_1(k4_prvect_2(A),k2_binop_1(k1_numbers,k4_card_3(k4_prvect_2(A)),k4_card_3(k4_prvect_2(A)),k2_prvect_2(k4_prvect_2(A),k1_numbers,k9_prvect_2(A)),B,C),D) = k1_rlvect_1(k5_prvect_2(A,D),E,B) ) ) ) ) ) ) ) )).
fof(l18_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => m2_finseq_1(k9_finseq_1(k4_tarski(B,C)),k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) ) ) ) )).
fof(l18_quaterni,axiom,( ! [A] : ! [B] : ! [C] : ( k4_tarski(A,B) = k1_tarski(C) => ( C = k1_tarski(A) & A = B ) ) )).
fof(l18_random_1,axiom,( v1_xreal_0(1) )).
fof(l18_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,k6_numbers) & v10_valued_0(E) & v6_supinf_2(E) & v2_measure1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,D,k6_numbers) & v10_valued_0(G) & v6_supinf_2(G) & v2_measure1(G,B,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(D,k6_numbers))) & ! [H] : ( m2_subset_1(H,k1_zfmisc_1(B),D) => k12_supinf_2(G,H) = k12_supinf_2(E,k8_relset_1(A,B,F,H)) ) ) ) ) ) ) ) ) )).
fof(l18_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k8_nat_1(k4_ordinal1,k1_real_3(C,B),A),k8_nat_1(k4_ordinal1,k1_real_3(C,B),k1_nat_1(A,1))) & k8_nat_1(k4_ordinal1,k1_real_3(C,B),A) != k5_numbers ) ) ) ) )).
fof(l18_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_hidden(C,k9_xtuple_0(D)) ) ) ) ) )).
fof(l18_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v2_struct_0(k4_real_ns1(A)) & v13_algstr_0(k4_real_ns1(A)) & v2_rlvect_1(k4_real_ns1(A)) & v3_rlvect_1(k4_real_ns1(A)) & v4_rlvect_1(k4_real_ns1(A)) & v5_rlvect_1(k4_real_ns1(A)) & v6_rlvect_1(k4_real_ns1(A)) & v7_rlvect_1(k4_real_ns1(A)) & v8_rlvect_1(k4_real_ns1(A)) & v3_normsp_0(k4_real_ns1(A)) & v4_normsp_0(k4_real_ns1(A)) & v2_normsp_1(k4_real_ns1(A)) & v3_lopban_1(k4_real_ns1(A)) & l1_normsp_1(k4_real_ns1(A)) ) ) )).
fof(l18_realset2,axiom,( k9_xtuple_0(k13_funcop_1(k5_numbers,1,k5_numbers)) = k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,1)) )).
fof(l18_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_classes1(A,B) => r1_xxreal_0(k3_rfinseq2(A),k3_rfinseq2(B)) ) ) ) )).
fof(l18_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_ringcat1(C,A,B) => ~ ( r1_ringcat1(A,B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( C = g1_ringcat1(A,B,D) & v1_ringcat1(D,A,B) ) ) ) ) ) ) )).
fof(l18_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( ~ ( k5_compos_0(k3_scm_inst,A) != 1 & k5_compos_0(k3_scm_inst,A) != 2 & k5_compos_0(k3_scm_inst,A) != 3 & k5_compos_0(k3_scm_inst,A) != 4 & k5_compos_0(k3_scm_inst,A) != 5 ) => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l18_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => k4_card_1(k1_scmfsa6a(A)) = k4_card_1(A) ) )).
fof(l18_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ( ( k5_compos_0(k2_scmfsa_i,A) = 9 | k5_compos_0(k2_scmfsa_i,A) = 10 ) => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l18_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,1) & k3_scmp_gcd = k1_scmp_gcd(k2_xcmplx_0(A,B)) ) ) ) )).
fof(l18_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( k1_compos_0(B) = 5 => k2_compos_0(B) = k1_xboole_0 ) ) ) )).
fof(l18_scpinvar,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k4_card_1(k10_compos_1(k1_scmpds_2,k3_scpinvar(A,B,C))) = k1_nat_1(k4_card_1(C),4) ) ) ) )).
fof(l18_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(4)) = k2_xcmplx_0(C,k1_funct_1(B,k1_scmp_gcd(5))) & r1_xxreal_0(8,C) & k1_funct_1(B,k1_scmp_gcd(2)) = D & r1_xxreal_0(8,D) ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(5)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(5)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(3)) = k1_funct_1(B,k1_scmp_gcd(3)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(8,E) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(E)) = k1_funct_1(B,k1_scmp_gcd(E)) ) ) & ? [E] : ( v7_ordinal1(E) & E = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(7)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(4)) = k2_xcmplx_0(C,E) & r1_xxreal_0(E,k1_funct_1(B,k1_scmp_gcd(5))) & ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(F,k2_xcmplx_0(C,E)) & r1_xxreal_0(F,k1_funct_1(B,k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(F)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(D))) ) ) & ( E = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(k2_xcmplx_0(C,E))),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A),k1_scmp_gcd(D))) ) ) ) ) ) ) ) ) ) )).
fof(l18_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2,k3_square_1(k3_xcmplx_0(B,C))),A),k7_xcmplx_0(k3_xcmplx_0(2,k3_square_1(k3_xcmplx_0(A,C))),B)),k7_xcmplx_0(k3_xcmplx_0(2,k3_square_1(k3_xcmplx_0(A,B))),C)) = 8 ) ) ) )).
fof(l18_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_struct_0(k15_euclid(A)) = k2_struct_0(k14_euclid(A)) ) )).
fof(l18_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k3_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(C,k7_complex1)),k2_xcmplx_0(B,k3_xcmplx_0(D,k7_complex1))) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,B),k3_xcmplx_0(C,D)),k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,D),k3_xcmplx_0(B,C)),k7_complex1)) & k8_complex1(k2_xcmplx_0(B,k3_xcmplx_0(D,k7_complex1))) = k2_xcmplx_0(B,k3_xcmplx_0(k4_xcmplx_0(D),k7_complex1)) ) ) ) ) ) )).
fof(l18_sincos10,axiom,( r2_tarski(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)) & r2_hidden(k28_sin_cos,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)) )).
fof(l18_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ v1_zfmisc_1(A) & v1_sppol_1(A) & v2_sppol_1(A) ) ) )).
fof(l18_srings_2,axiom,( k2_xboole_0(k1_tarski(k1_xboole_0),a_0_2_srings_2) = a_0_3_srings_2 )).
fof(l18_substut1,axiom,( ! [A] : ! [B] : ~ ( r2_tarski(k1_card_1(A),k1_card_1(B)) & k6_subset_1(B,A) = k1_xboole_0 ) )).
fof(l18_taxonom2,axiom,( ! [A] : ! [B] : ( m1_taxonom2(B,A) => ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( ( v4_taxonom2(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r1_tarski(C,B) & ! [D] : ( ( v4_taxonom2(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r1_tarski(D,B) & r1_tarski(k5_setfam_1(A,C),k5_setfam_1(A,D)) ) => C = D ) ) ) => k5_setfam_1(A,C) = A ) ) ) ) )).
fof(l18_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v13_struct_0(k1_tex_2(A,B),1) ) ) )).
fof(l18_topgen_3,axiom,( c1__topgen_3 = a_0_0_topgen_3 )).
fof(l18_topgen_6,axiom,( u1_struct_0(k1_topgen_6) = k2_zfmisc_1(k1_numbers,k1_numbers) )).
fof(l18_topreal2,axiom,( ~ r2_tarski(k19_euclid(1,1),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1))) )).
fof(l18_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( v11_aff_2(A) & r1_aff_1(A,B,C,H) & r2_analoaf(A,B,C,D,F) & r2_analoaf(A,B,C,E,G) & r2_analoaf(A,B,D,C,F) & r2_analoaf(A,B,E,C,G) & r2_analoaf(A,D,F,H,J) & r2_analoaf(A,D,H,F,J) & r2_analoaf(A,E,G,I,J) & r2_analoaf(A,E,I,G,J) ) => ( B = C | r1_aff_1(A,B,C,D) | r1_aff_1(A,B,C,E) | H = I ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l18_uniform1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r2_hidden(A,k1_rcomp_1(B,C)) <=> ( r1_xxreal_0(B,A) & r1_xxreal_0(A,C) ) ) ) ) ) )).
fof(l18_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( v4_xxreal_2(k1_integra2(A,B)) => ( r1_xxreal_0(B,k5_numbers) | v4_xxreal_2(A) ) ) ) ) )).
fof(l18_xreal_0,axiom,( c5__xreal_0 = k4_xcmplx_0(1) & k1_arytm_0(c3__xreal_0,c5__xreal_0) = k5_numbers )).
fof(l18_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k3_xcmplx_0(B,C),k3_xcmplx_0(A,C)) ) ) ) ) )).
fof(l18_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r2_hidden(A,k1_numbers) => k2_xxreal_3(k1_xxreal_3(A,k1_xxreal_0)) = k1_xxreal_3(k2_xxreal_3(k1_xxreal_0),k2_xxreal_3(A)) ) ) )).
fof(l18_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,D) & r1_xboole_0(B,E) ) ) ) => r2_tarski(C,k2_pre_topc(A,B)) ) ) ) ) )).
fof(l18_zf_fund1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zf_lang)) ) => ( r2_tarski(A,k4_zf_fund1(B)) <=> ? [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) & r2_tarski(C,B) & A = k3_zf_fund1(C) ) ) ) )).
fof(l18_zfmisc_1,axiom,( ! [A] : ! [B] : ~ ( r1_xboole_0(k1_tarski(A),B) & r2_hidden(A,B) ) )).
fof(l193_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(E,k2_finseq_1(F)) & ~ r1_xxreal_0(k3_finseq_1(C),1) & ~ r1_xxreal_0(k3_finseq_1(D),1) & F = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C),1),k6_xcmplx_0(k3_finseq_1(D),1)),1) & E != k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C),1),k6_xcmplx_0(k3_finseq_1(D),1)),1) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( E = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(G,1),k6_xcmplx_0(k3_finseq_1(D),1)),H) & r1_xxreal_0(1,G) & r1_xxreal_0(G,k6_xcmplx_0(k3_finseq_1(C),1)) & r1_xxreal_0(1,H) & r1_xxreal_0(H,k6_xcmplx_0(k3_finseq_1(D),1)) ) ) ) ) ) ) ) ) ) )).
fof(l194_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v8_group_9(G,A,B) & m2_finseq_1(G,k6_group_9(A,B)) ) => ! [H] : ( ( v8_group_9(H,A,B) & m2_finseq_1(H,k6_group_9(A,B)) ) => ( ( k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C,1),k6_xcmplx_0(k3_finseq_1(H),1)),D) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(E,1),k6_xcmplx_0(k3_finseq_1(H),1)),F) & r1_xxreal_0(1,C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(H),1)) & r1_xxreal_0(1,E) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(H),1)) ) => ( r1_xxreal_0(k3_finseq_1(H),1) | ( D = F & C = E ) ) ) ) ) ) ) ) ) ) )).
fof(l195_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v8_group_9(F,A,B) & m2_finseq_1(F,k6_group_9(A,B)) ) => ! [G] : ( ( v8_group_9(G,A,B) & m2_finseq_1(G,k6_group_9(A,B)) ) => ( ( C = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(D,1),k6_xcmplx_0(k3_finseq_1(G),1)),E) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(F),1)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k6_xcmplx_0(k3_finseq_1(G),1)) ) => ( r1_xxreal_0(k3_finseq_1(G),1) | ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_xcmplx_0(k6_xcmplx_0(k3_finseq_1(F),1),k6_xcmplx_0(k3_finseq_1(G),1))) ) ) ) ) ) ) ) ) ) )).
fof(l19_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,C,k5_struct_0(A)) = C ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( C != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,C,D) != k5_struct_0(A) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,C,D),E) = k6_algstr_0(A,C,k6_algstr_0(A,D,E)) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,C,k4_struct_0(A)) = k4_struct_0(A) ) ) => ( k4_struct_0(A) = k5_struct_0(A) | k6_algstr_0(A,k5_struct_0(A),B) = k6_algstr_0(A,B,k5_struct_0(A)) ) ) ) ) )).
fof(l19_ami_2,axiom,( k9_xtuple_0(k3_relat_1(k3_ami_2,k4_ami_2)) = k1_ami_2 )).
fof(l19_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k4_amistd_1(A))) => v1_xboole_0(k2_amistd_1(A,k4_amistd_1(A),B)) ) ) )).
fof(l19_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( k1_rlvect_1(A,B,D) = C => ( D = k5_numbers | r1_anproj_1(A,B,C) ) ) ) ) ) ) )).
fof(l19_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( r1_arytm_2(A,B) => k1_arytm_1(B,k1_arytm_1(B,A)) = A ) ) ) )).
fof(l19_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ( k3_arytm_2(A) = k11_arytm_3 <=> A = k11_arytm_3 ) ) )).
fof(l19_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ( v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_asympt_1,k3_asympt_1(A))) & k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_asympt_1,k3_asympt_1(A))) = k5_numbers ) ) ) )).
fof(l19_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_6(A,k2_bcialg_6(A,B,C),D) = k2_bcialg_6(A,B,k3_xcmplx_0(C,D)) ) ) ) ) )).
fof(l19_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( C = k3_borsuk_1(B,A,k2_struct_0(B),D) => g1_pre_topc(u1_struct_0(k2_borsuk_1(B,k1_pre_topc(A,D))),u1_pre_topc(k2_borsuk_1(B,k1_pre_topc(A,D)))) = g1_pre_topc(u1_struct_0(k1_pre_topc(k2_borsuk_1(B,A),C)),u1_pre_topc(k1_pre_topc(k2_borsuk_1(B,A),C))) ) ) ) ) ) )).
fof(l19_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k1_algstr_0(k5_c0sp2(A),B,C) = k3_rlvect_1(k11_c0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l19_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(k55_valued_1(A,k2_numbers,B)) <=> v1_comseq_2(B) ) ) ) )).
fof(l19_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(2))) => ( C = k10_finseq_1(A,B) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(2),C),k2_xcmplx_0(k9_complex1(A),k9_complex1(B))) ) ) ) ) )).
fof(l19_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_tarski(k2_relset_1(k4_ordinal1,B),k2_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( r1_xxreal_0(1,k7_partfun1(k4_ordinal1,B,C)) & r1_xxreal_0(k7_partfun1(k4_ordinal1,B,C),A) ) ) ) ) ) )).
fof(l19_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_clopban2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_clopban2(A))) => ( C = k6_clopban2(A) => ( k6_algstr_0(k7_clopban2(A),B,C) = B & k6_algstr_0(k7_clopban2(A),C,B) = B ) ) ) ) ) )).
fof(l19_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k4_struct_0(A) ) )).
fof(l19_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( A = k5_arytm_0(B,C) => ( C = k5_numbers & A = B ) ) ) ) ) )).
fof(l19_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ( k2_afinsq_1(k4_compos_1(A)) = k6_domain_1(k4_ordinal1,k5_numbers) & r2_tarski(k5_numbers,k2_afinsq_1(k4_compos_1(A))) ) ) )).
fof(l19_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_lattices(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) => r3_lattices(A,D,E) ) ) ) => v2_funct_1(C) ) ) ) ) )).
fof(l19_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) ) => m2_finseq_1(C,k3_qc_lang1(A)) ) ) ) )).
fof(l19_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v2_cqc_the1(k10_cqc_lang(A,B,C),A) => ( v2_cqc_the1(B,A) <=> v2_cqc_the1(C,A) ) ) ) ) ) )).
fof(l19_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( v7_dblseq_1(A) & v2_seq_2(A) ) => ( v1_dblseq_1(A) & v2_dblseq_1(A) & v3_dblseq_1(A) ) ) ) )).
fof(l19_dtconstr,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ~ r1_lang1(k5_dtconstr,c2__dtconstr,A) ) )).
fof(l19_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( A = k19_euclid(k5_ordinal1,k5_ordinal1) & B = k19_euclid(k5_ordinal1,1) & C = k19_euclid(k7_xcmplx_0(k3_square_1(3),2),k7_xcmplx_0(1,2)) ) => ( r1_xxreal_0(k28_sin_cos,k4_euclid_3(A,B,C)) | k4_euclid_3(C,A,B) = k7_xcmplx_0(k28_sin_cos,3) ) ) ) ) ) )).
fof(l19_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) )).
fof(l19_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k5_euclid_8(k1_euclid_8(A,B,C),k1_euclid_8(D,E,F)) = k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(B,F),k3_xcmplx_0(C,E)),k6_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(A,F)),k6_xcmplx_0(k3_xcmplx_0(A,E),k3_xcmplx_0(B,D))) ) ) ) ) ) ) )).
fof(l19_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v1_conaffm(A) <=> v4_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(l19_fdiff_1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l19_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r4_fdiff_3(A,C) & r4_fdiff_3(B,C) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,k1_relset_1(k1_numbers,B)) & r2_hidden(E,k1_rcomp_1(k6_xcmplx_0(C,D),C)) & k1_funct_1(B,E) = k5_numbers ) ) ) ) | ( r4_fdiff_3(k3_rfunct_1(k1_numbers,k1_numbers,A,B),C) & k1_fdiff_3(C,k3_rfunct_1(k1_numbers,k1_numbers,A,B)) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_3(C,A),k1_funct_1(B,C)),k3_xcmplx_0(k1_fdiff_3(C,B),k1_funct_1(A,C))),k1_square_1(k1_funct_1(B,C))) ) ) ) ) ) ) )).
fof(l19_fib_num,axiom,( k3_square_1(5) != k5_numbers )).
fof(l19_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( v10_fomodel4(D,B,C) => v10_fomodel4(A,B,C) ) ) ) ) )).
fof(l19_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k13_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k3_facirc_1)) = k9_margrel1(k2_binarith(k2_binarith(G,H),I),K) & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(E,D),k3_facirc_1)) = k9_margrel1(K,J) & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1)) = k9_margrel1(J,k2_binarith(k2_binarith(G,H),I)) & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l19_functor1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pzfmisc1(A,B,C) => ! [D] : ( m2_pboole(D,A,B,C) => ! [E] : ( m2_pboole(E,A,C,B) => ( ( v1_msualg_3(D) & v2_msualg_3(D,A,B,C) & r6_pboole(A,E,k4_msualg_3(A,B,C,D)) ) => ( r6_pboole(A,k8_pboole(E,D),k2_msualg_3(A,C)) & r6_pboole(A,k8_pboole(D,E),k2_msualg_3(A,B)) ) ) ) ) ) ) ) )).
fof(l19_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,C) ) => k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,k2_fuzzy_1(k2_zfmisc_1(A,B),D,E),F,G,H))) = k4_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,F,G,H))),k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,E,F,G,H)))) ) ) ) ) ) ) ) )).
fof(l19_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k1_geomtrap(A,B,C) = k1_geomtrap(A,D,E) => k5_algstr_0(A,D,B) = k4_algstr_0(A,k5_algstr_0(A,E,C)) ) ) ) ) ) ) )).
fof(l19_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_glib_002(A) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k1_glib_002(A,B) = k6_glib_000(A) ) ) ) )).
fof(l19_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ( v15_algstr_0(g3_algstr_0(u1_struct_0(C),u2_algstr_0(C))) & v1_group_3(g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)),B) & m1_group_2(g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)),B) ) ) ) )).
fof(l19_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & v6_anproj_2(A) & v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,J) & r1_collsp(A,E,F,J) & r1_collsp(A,C,D,H) & r1_collsp(A,F,G,H) & r1_collsp(A,B,D,I) & r1_collsp(A,E,G,I) & r1_collsp(A,K,B,E) & r1_collsp(A,K,C,F) & r1_collsp(A,K,D,G) ) => ( K = E | B = E | K = F | C = F | K = G | D = G | r1_collsp(A,K,B,C) | r1_collsp(A,K,B,D) | r1_collsp(A,K,C,D) | r1_collsp(A,K,H,J) | r1_collsp(A,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l19_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_aff_1(A,D,B,C) & v4_aff_2(A) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = G <=> ( ( ~ r1_aff_1(A,D,B,F) & r1_aff_1(A,D,F,G) & r2_analoaf(A,B,F,C,G) ) | ( r1_aff_1(A,D,B,F) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ~ r1_aff_1(A,D,B,H) & r1_aff_1(A,D,H,I) & r2_analoaf(A,B,H,C,I) & r2_analoaf(A,H,F,I,G) & r1_aff_1(A,D,B,G) ) ) ) ) ) ) ) ) => ( D = B | ( v6_transgeo(E,A) & k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,D) = D & k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,B) = C ) ) ) ) ) ) ) ) )).
fof(l19_huffman1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ! [C] : ! [D] : ( ( r2_hidden(B,A) & r2_hidden(C,A) ) => ( B = C | r2_hidden(D,A) | k4_card_1(k2_xboole_0(k6_subset_1(A,k2_tarski(B,C)),k1_tarski(D))) = k6_xcmplx_0(k4_card_1(A),1) ) ) ) )).
fof(l19_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k13_polynom3(A))) => ( D = C => ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) => ( B = k4_rlvect_1(k13_polynom3(A),E) => k11_polynom3(A,C,B) = k4_rlvect_1(k13_polynom3(A),k9_fvsum_1(k13_polynom3(A),E,D)) ) ) ) ) ) ) ) )).
fof(l19_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => r1_funct_2(u1_struct_0(A),u4_struct_0(A),u1_struct_0(k2_oppcat_1(A)),u4_struct_0(k2_oppcat_1(A)),k7_isocat_1(A),k7_isocat_1(k2_oppcat_1(A))) ) )).
fof(l19_integr11,axiom,( m1_subset_1(k28_sin_cos,k1_numbers) )).
fof(l19_jgraph_6,axiom,( k17_euclid(k19_euclid(1,k5_numbers)) = 1 )).
fof(l19_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))))) => ( r2_tarski(A,B) => r1_xboole_0(k6_domain_1(u1_struct_0(k15_euclid(2)),A),C) ) ) ) ) )).
fof(l19_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( v9_rltopsp1(A,k15_euclid(2)) & v1_xboole_0(k2_jordan2c(2,A)) ) ) )).
fof(l19_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k4_topmetr(A,B))) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( v1_xreal_0(H) => ( ( r1_tmap_1(k4_topmetr(A,B),k4_topmetr(C,D),E,F) & k1_funct_1(E,A) = C & k1_funct_1(E,B) = D & v2_funct_1(E) & E = G & F = H ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(D,C) | F = A | F = B | r1_fcont_1(G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l19_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) ) => ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) ) ) ) ) ) )).
fof(l19_lattices,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ( ~ v2_struct_0(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & v10_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & v13_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & l3_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) ) ) ) )).
fof(l19_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_monoid_0(k4_lfuzzy_0(A)) ) )).
fof(l19_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lopban_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lopban_2(A))) => ( C = k6_lopban_2(A) => ( k6_algstr_0(k7_lopban_2(A),B,C) = B & k6_algstr_0(k7_lopban_2(A),C,B) = B ) ) ) ) ) )).
fof(l19_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_hidden(k4_tarski(C,D),k2_matrix_0(k3_matrix_1(B,A))) & r2_tarski(E,k4_finseq_1(k3_matrix_1(B,A))) & r2_tarski(F,k4_finseq_1(k3_matrix_1(B,A))) ) => ( F = E | k3_matrix_0(u1_struct_0(B),k3_matrix_1(B,A),C,D) = k3_matrix_0(u1_struct_0(B),k3_matrix12(A,A,B,k3_matrix12(A,A,B,k3_matrix_1(B,A),E,F,k4_algstr_0(B,G)),E,F,G),C,D) ) ) ) ) ) ) ) ) ) )).
fof(l19_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) & D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(2),C,F)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),A,G)) & k2_xcmplx_0(k6_xcmplx_0(1,G),k3_xcmplx_0(F,G)) != k5_numbers & ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) => ~ ( r1_rltopsp1(k15_euclid(2),A,D,H) & r1_rltopsp1(k15_euclid(2),B,E,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l19_mfold_1,axiom,( k1_pre_topc(k15_euclid(k5_numbers),k2_struct_0(k15_euclid(k5_numbers))) = g1_pre_topc(u1_struct_0(k15_euclid(k5_numbers)),u1_pre_topc(k15_euclid(k5_numbers))) )).
fof(l19_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( B != k4_struct_0(A) => ( k3_vectsp_1(A,C,k9_algstr_0(A,B),k3_vectsp_1(A,C,B,D)) = k3_vectsp_1(A,C,k5_struct_0(A),D) & k3_vectsp_1(A,C,k6_algstr_0(A,k9_algstr_0(A,B),B),D) = k3_vectsp_1(A,C,k5_struct_0(A),D) ) ) ) ) ) ) )).
fof(l19_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => k3_rlvect_1(A,B,k1_rlvect_1(A,k5_algstr_0(A,C,B),D)) = k3_rlvect_1(A,k1_rlvect_1(A,B,k6_xcmplx_0(1,D)),k1_rlvect_1(A,C,D)) ) ) ) ) )).
fof(l19_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k4_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k4_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k4_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( k8_nat_1(k4_numbers,G,k5_numbers) = 1 & k8_nat_1(k4_numbers,H,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,C,k5_numbers) = A & k8_nat_1(k4_numbers,E,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,J,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,I,k5_numbers) = 1 & k8_nat_1(k4_numbers,D,k5_numbers) = B & k8_nat_1(k4_numbers,F,k5_numbers) = k5_numbers & ! [K] : ( v7_ordinal1(K) => ( k8_nat_1(k4_numbers,E,k1_nat_1(K,1)) = k4_int_1(k8_nat_1(k4_numbers,C,K),k8_nat_1(k4_numbers,D,K)) & k8_nat_1(k4_numbers,F,k1_nat_1(K,1)) = k5_int_1(k8_nat_1(k4_numbers,C,K),k8_nat_1(k4_numbers,D,K)) & k8_nat_1(k4_numbers,G,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,J,K) & k8_nat_1(k4_numbers,H,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,I,K) & k8_nat_1(k4_numbers,C,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,D,K) & k8_nat_1(k4_numbers,J,k1_nat_1(K,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,G,K),k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(K,1)),k8_nat_1(k4_numbers,J,K))) & k8_nat_1(k4_numbers,I,k1_nat_1(K,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,H,K),k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(K,1)),k8_nat_1(k4_numbers,I,K))) & k8_nat_1(k4_numbers,D,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,F,k1_nat_1(K,1)) ) ) ) => ! [K] : ( v7_ordinal1(K) => ( k8_nat_1(k4_numbers,D,K) != k5_numbers => k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,G,k1_nat_1(K,1)),A),k3_xcmplx_0(k8_nat_1(k4_numbers,H,k1_nat_1(K,1)),B)) = k8_nat_1(k4_numbers,C,k1_nat_1(K,1)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l19_numbers,axiom,( v3_ordinal1(2) & m1_subset_1(2,k5_arytm_3) )).
fof(l19_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v7_o_ring_1(B,A) ) ) ) )).
fof(l19_ordeq_02,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_normsp_0(B,k1_rlvect_1(B,C,k5_xcmplx_0(A))) = k7_xcmplx_0(k2_normsp_0(B,C),k9_complex1(A)) ) ) ) )).
fof(l19_pepin,axiom,( k11_newton(2,8) = 256 )).
fof(l19_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => ( ~ r1_xxreal_0(k5_numbers,C) => k2_polynom8(A,B,C) = k9_algstr_0(A,k2_polynom8(A,B,k1_int_2(C))) ) ) ) ) )).
fof(l19_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_ordinal1(A)) => ! [C] : ( m1_subset_1(C,k1_ordinal1(A)) => ( ( B = A | B = C ) => r2_tarski(k1_domain_1(k1_ordinal1(A),k1_ordinal1(A),B,C),k3_poset_2(A)) ) ) ) ) )).
fof(l19_pre_ff,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k4_ordinal1)))) & k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,k5_numbers) = c1__pre_ff & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( k1_nat_1(B,2) = k3_xcmplx_0(2,C) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,k1_nat_1(B,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,B),k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,B),C))) ) ) & ! [C] : ( v7_ordinal1(C) => ( k1_nat_1(B,2) = k1_nat_1(k3_xcmplx_0(2,C),1) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,k1_nat_1(B,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,B),k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,B),C),k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,B),k1_nat_1(C,1))))) ) ) ) ) ) )).
fof(l19_prefer_1,axiom,( ! [A] : ! [B] : ( ( r1_tarski(A,B) & r1_xboole_0(A,B) ) => A = k1_xboole_0 ) )).
fof(l19_prvect_2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l19_prvect_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_tarski(B,k4_card_3(A)) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) )).
fof(l19_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => m2_finseq_1(k7_finseq_1(k12_finseq_1(k8_qc_lang1(A,B),C),D),k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) ) ) ) ) )).
fof(l19_quantal1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v11_quantal1(B) => ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,A,B,k3_funct_2(A,A,B,C)) = k3_funct_2(A,A,B,C) ) ) ) ) )).
fof(l19_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ~ ( ~ r1_xxreal_0(k1_xxreal_0,k12_supinf_2(B,A)) & ! [D] : ( m2_finseq_1(D,k6_numbers) => ~ ( k3_finseq_1(D) = k4_card_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k12_supinf_2(D,E) = k1_extreal1(k12_supinf_2(C,k1_funct_1(k19_finseq_1(A),E)),k12_supinf_2(B,k1_tarski(k1_funct_1(k19_finseq_1(A),E)))) ) ) & k1_mesfunc6(A,k1_random_1(A),B,C) = k4_extreal1(D) ) ) ) ) ) ) )).
fof(l19_realset2,axiom,( k4_binop_1(2,k2_realset2,k10_subset_1(k5_numbers,2),k10_subset_1(k5_numbers,2)) = k10_subset_1(k5_numbers,2) )).
fof(l19_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k8_vectsp10(A,B,C)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k4_struct_0(B) ) ) ) ) ) )).
fof(l19_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_ringcat1(C,A,B) => ~ ( r1_ringcat1(A,B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => C != g1_ringcat1(A,B,D) ) ) ) ) ) )).
fof(l19_rlaffin2,axiom,( v1_xreal_0(1) )).
fof(l19_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_rmod_2(D,A,B) => ( u1_struct_0(D) = C => v1_rmod_2(C,A,B) ) ) ) ) ) )).
fof(l19_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( ( k5_compos_0(k3_scm_inst,A) = 7 | k5_compos_0(k3_scm_inst,A) = 8 ) => k4_finseq_1(k2_compos_0(A)) = k2_finseq_1(1) ) ) )).
fof(l19_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => k4_card_1(k10_compos_1(k1_scmfsa_2,k1_scmfsa6a(A))) = k4_card_1(k10_compos_1(k1_scmfsa_2,A)) ) )).
fof(l19_scmfsa8b,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => v5_amistd_1(k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(A),1))),A),k4_compos_1(k1_scmfsa_2)),k5_card_1(3),k1_scmfsa_2) ) ) )).
fof(l19_scmfsa_1,axiom,( ! [A] : ( m2_subset_1(A,k1_scmfsa_1,k2_scmfsa_1) => k3_funct_2(k1_scmfsa_1,k5_card_1(3),k4_scmfsa_1,A) = 1 ) )).
fof(l19_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ( ( k5_compos_0(k2_scmfsa_i,A) = 11 | k5_compos_0(k2_scmfsa_i,A) = 12 ) => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l19_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( ( r1_tarski(k4_scmp_gcd,C) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) = 5 & A = k1_funct_1(B,k3_scmp_gcd) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)),k5_numbers) | ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7)) = k1_nat_1(5,7) & k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,8) = k2_extpro_1(k5_card_1(2),k1_scmpds_2,k3_scmpds_2(k4_xcmplx_0(7)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7),k3_scmp_gcd) = k1_nat_1(A,4) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7),k2_scmp_gcd) = k5_numbers & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7),k1_scmp_gcd(k1_nat_1(A,7))) = k5_int_1(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3))) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7),k1_scmp_gcd(k1_nat_1(A,6))) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7),k1_scmp_gcd(k1_nat_1(A,4))) = A & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,B,7),k1_scmp_gcd(k1_nat_1(A,5))) = 11 ) ) ) ) ) ) )).
fof(l19_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( k5_compos_0(k1_scmringi(A),B) = 6 => k4_finseq_1(k2_compos_0(B)) = k2_finseq_1(1) ) ) ) )).
fof(l19_scpisort,axiom,( k4_card_1(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))) = 10 )).
fof(l19_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(4)) = k2_xcmplx_0(C,k1_funct_1(B,k1_scmp_gcd(5))) & r1_xxreal_0(8,C) & k1_funct_1(B,k1_scmp_gcd(2)) = D & r1_xxreal_0(8,D) ) => ( r1_scmpds_6(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A) & r2_scmpds_6(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),B,A) ) ) ) ) ) ) )).
fof(l19_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ( k2_xcmplx_0(k2_xcmplx_0(A,B),C) = 1 => k2_xcmplx_0(1,k7_xcmplx_0(1,A)) = k2_xcmplx_0(2,k7_xcmplx_0(k2_xcmplx_0(B,C),A)) ) ) ) ) )).
fof(l19_simplex2,axiom,( ! [A] : v6_ordinal1(k1_tarski(A)) )).
fof(l19_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k4_sin_cos2(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)),k3_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B))) & k4_sin_cos2(k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)),k3_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B))) & k2_sin_cos2(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(B)),k3_xcmplx_0(k4_sin_cos2(A),k2_sin_cos2(B))) & k2_sin_cos2(k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(B)),k3_xcmplx_0(k4_sin_cos2(A),k2_sin_cos2(B))) & k6_sin_cos2(k2_xcmplx_0(A,B)) = k7_xcmplx_0(k2_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k2_xcmplx_0(1,k3_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)))) & k6_sin_cos2(k6_xcmplx_0(A,B)) = k7_xcmplx_0(k6_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k6_xcmplx_0(1,k3_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)))) ) ) ) )).
fof(l19_sin_cos9,axiom,( k2_funct_1(k1_sin_cos9) = k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l19_sincos10,axiom,( r2_hidden(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)) & r2_hidden(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)) )).
fof(l19_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & k1_square_1(A) = k1_square_1(B) ) => A = B ) ) ) )).
fof(l19_srings_2,axiom,( r1_tarski(a_0_0_srings_2,k9_setfam_1(k1_numbers)) )).
fof(l19_taxonom2,axiom,( ! [A] : ! [B] : ( m1_taxonom2(B,A) => ! [C] : ( ( v4_taxonom2(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r1_tarski(C,B) & ! [D] : ( ( v4_taxonom2(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r1_tarski(D,B) & r1_tarski(k5_setfam_1(A,C),k5_setfam_1(A,D)) ) => C = D ) ) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,C) & D = k1_xboole_0 ) ) ) ) ) )).
fof(l19_topgen_3,axiom,( r1_tarski(c1__topgen_3,u1_pre_topc(k2_topgen_3)) )).
fof(l19_topgen_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r2_hidden(k4_tarski(A,B),k2_topgen_6) => B = k4_xcmplx_0(A) ) ) ) )).
fof(l19_topreal2,axiom,( ~ r2_tarski(k19_euclid(1,1),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers))) )).
fof(l19_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( v11_aff_2(A) & B != C & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( v7_transgeo(D,A) & k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B) = C ) ) ) ) ) ) )).
fof(l19_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(l19_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( ? [B] : ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))) & v6_waybel_1(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))))) & v22_waybel_0(C,k2_yellow_1(B),k2_yellow_1(B)) & r5_waybel_1(A,k1_yellow_2(k2_yellow_1(B),k2_yellow_1(B),C)) ) => v3_waybel_3(A) ) ) )).
fof(l19_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v7_waybel_0(B) & v8_waybel_0(B,A) & l1_waybel_0(B,A) ) => k1_waybel11(A,B) = k1_waybel_2(A,B) ) ) )).
fof(l19_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_tarski(D,k1_binop_1(u1_altcat_1(k4_waybel34(A)),B,C)) <=> ( r2_tarski(B,u1_struct_0(k4_waybel34(A))) & r2_tarski(C,u1_struct_0(k4_waybel34(A))) & v3_lattice3(B) & v3_lattice3(C) & v17_waybel_0(D,B,C) ) ) ) ) ) ) )).
fof(l19_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(A,k3_xcmplx_0(B,C)) = k3_xcmplx_0(k3_xcmplx_0(A,B),C) ) ) ) )).
fof(l19_xreal_0,axiom,( ~ r2_hidden(k4_xcmplx_0(1),k2_arytm_2) )).
fof(l19_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r2_hidden(A,k1_numbers) => k2_xxreal_3(k1_xxreal_3(A,k2_xxreal_0)) = k1_xxreal_3(k2_xxreal_3(k2_xxreal_0),k2_xxreal_3(A)) ) ) )).
fof(l19_yellow_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_yellow_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_yellow_1(A))) => ( r2_tarski(k3_xboole_0(B,C),k9_setfam_1(A)) & r2_tarski(k2_xboole_0(B,C),k9_setfam_1(A)) ) ) ) )).
fof(l19_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => m1_yellow_6(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),u1_waybel_0(A,B)),A,B) ) ) )).
fof(l19_zf_fund1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => k4_zf_fund1(k6_domain_1(k1_zf_lang,A)) = k6_domain_1(k4_ordinal1,k3_zf_fund1(A)) ) )).
fof(l19_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k4_struct_0(A) ) )).
fof(l1_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r2_tarski(C,B) => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(l1_afinsq_2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( k4_card_1(A) = k4_card_1(B) => ( v2_funct_2(C,B) <=> v2_funct_1(C) ) ) ) ) ) )).
fof(l1_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_diraf(A,B,C,C,D) => ( B = D | r2_analoaf(A,B,C,C,D) ) ) ) ) ) ) )).
fof(l1_algstr_2,axiom,( k5_numbers = k4_struct_0(k2_vectsp_1) )).
fof(l1_altcat_6,axiom,( u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))) = k1_tarski(k5_ordinal1) )).
fof(l1_ami_4,axiom,( k10_ami_3(k5_numbers) != k10_ami_3(1) & k10_ami_3(1) != k10_ami_3(2) )).
fof(l1_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( B = k3_rlvect_1(A,k1_rlvect_1(A,D,F),k1_rlvect_1(A,E,G)) & C = k3_rlvect_1(A,k1_rlvect_1(A,D,H),k1_rlvect_1(A,E,I)) ) => ( k3_rlvect_1(A,B,C) = k3_rlvect_1(A,k1_rlvect_1(A,D,k2_xcmplx_0(F,H)),k1_rlvect_1(A,E,k2_xcmplx_0(G,I))) & k5_algstr_0(A,B,C) = k3_rlvect_1(A,k1_rlvect_1(A,D,k6_xcmplx_0(F,H)),k1_rlvect_1(A,E,k6_xcmplx_0(G,I))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l1_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( B = k3_rlvect_1(A,k1_rlvect_1(A,D,F),k1_rlvect_1(A,E,G)) & C = k3_rlvect_1(A,k1_rlvect_1(A,D,H),k1_rlvect_1(A,E,I)) ) => ( k3_rlvect_1(A,B,C) = k3_rlvect_1(A,k1_rlvect_1(A,D,k2_xcmplx_0(F,H)),k1_rlvect_1(A,E,k2_xcmplx_0(G,I))) & k5_algstr_0(A,B,C) = k3_rlvect_1(A,k1_rlvect_1(A,D,k6_xcmplx_0(F,H)),k1_rlvect_1(A,E,k6_xcmplx_0(G,I))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l1_arithm,axiom,( r2_tarski(k5_numbers,k4_ordinal1) )).
fof(l1_armstrng,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,B) ) => k4_finseq_1(C) = k2_finseq_1(A) ) ) ) )).
fof(l1_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => r2_hidden(k4_tarski(k5_numbers,A),k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) )).
fof(l1_arytm_3,axiom,( r2_tarski(k1_xboole_0,k4_ordinal1) )).
fof(l1_asympt_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(2,A) & r1_xxreal_0(k5_series_1(2,A),k1_nat_1(A,1)) ) ) )).
fof(l1_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( m1_subset_1(D,u1_struct_0(B)) => r1_struct_0(B,k2_group_3(A,D,C)) ) ) ) => v1_group_3(B,A) ) ) ) )).
fof(l1_axioms,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ ( ~ ( r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2) & ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = C & B = D & r1_arytm_2(C,D) ) ) ) & ~ ( r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & r2_hidden(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = k4_tarski(k5_numbers,C) & B = k4_tarski(k5_numbers,D) & r1_arytm_2(D,C) ) ) ) & ~ ( r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) ) => r1_xxreal_0(A,B) ) ) ) )).
fof(l1_bhsp_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k7_xcmplx_0(D,2),k9_complex1(k6_xcmplx_0(A,B))) & ~ r1_xxreal_0(k7_xcmplx_0(D,2),k9_complex1(k6_xcmplx_0(B,C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(A,C))) ) ) ) ) ) )).
fof(l1_binari_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( ( k3_finseq_1(B) = A & k3_finseq_1(C) = A & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,B,D) = k7_partfun1(k5_margrel1,C,D) ) ) ) => B = C ) ) ) ) )).
fof(l1_bintree2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => m2_finseq_1(k8_finseq_1(A,B,C),A) ) ) )).
fof(l1_borsuk_2,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,1) ) <=> r2_hidden(A,u1_struct_0(k5_topmetr)) ) ) )).
fof(l1_borsuk_7,axiom,( v7_ordinal1(k5_numbers) )).
fof(l1_brouwer2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( v1_xreal_0(D) => k5_algstr_0(k15_euclid(A),k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(1,D)),k1_rlvect_1(k15_euclid(A),C,D)),B) = k1_rlvect_1(k15_euclid(A),k5_algstr_0(k15_euclid(A),C,B),D) ) ) ) ) )).
fof(l1_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) => ( v3_pre_topc(B,k3_pcomps_1(k14_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ~ ( r2_tarski(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k4_euclid_9(A,C,D),B) ) ) ) ) ) ) ) )).
fof(l1_card_5,axiom,( 1 = k4_card_1(1) )).
fof(l1_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k2_numbers,A,B) & v2_comseq_2(A) & k1_seq_2(A) = C ) => k3_comseq_2(B) = C ) ) ) ) )).
fof(l1_circcomb,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => k4_card_3(k7_funcop_1(k2_finseq_1(A),B)) = k4_finseq_2(A,B) ) ) )).
fof(l1_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,C) ) => r2_tarski(k5_algstr_0(A,D,E),k1_rusub_5(A,B,C)) ) ) ) ) ) ) )).
fof(l1_circuit2,axiom,( ! [A] : ~ r2_tarski(A,A) )).
fof(l1_classes2,axiom,( ! [A] : v2_classes1(k1_classes1(A)) )).
fof(l1_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( k6_algstr_0(A,B,k3_clopban3(A,B,C)) = k3_clopban3(A,B,k1_nat_1(C,1)) & k6_algstr_0(A,k3_clopban3(A,B,C),B) = k3_clopban3(A,B,k1_nat_1(C,1)) & k6_algstr_0(A,B,k3_clopban3(A,B,C)) = k6_algstr_0(A,k3_clopban3(A,B,C),B) ) ) ) ) )).
fof(l1_cohsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( r2_tarski(E,k3_funct_2(A,B,C,D)) => r2_tarski(E,k3_tarski(B)) ) ) ) ) ) )).
fof(l1_comseq_3,axiom,( k5_complex1 = k2_xcmplx_0(k5_numbers,k3_xcmplx_0(k5_numbers,k7_complex1)) )).
fof(l1_convex2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l1_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ r2_tarski(B,k4_qc_lang1(A)) ) ) )).
fof(l1_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_funct_2(k4_ordinal1,k2_numbers,k10_comseq_3(k2_comseq_2(k4_ordinal1,A)),k2_comseq_2(k4_ordinal1,k10_comseq_3(A))) ) )).
fof(l1_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(A,C),B) ) => r1_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,A)),B) ) ) ) )).
fof(l1_ec_pf_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) => D = k4_domain_1(A,B,C,k1_mcart_1(A,B,C,D),k2_mcart_1(A,B,C,D),k3_mcart_1(A,B,C,D)) ) ) ) ) )).
fof(l1_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,k3_tarski(k2_tarski(C,k1_tarski(B)))) <=> ( r2_hidden(A,C) | A = B ) ) )).
fof(l1_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k12_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k5_numbers <=> A = B ) ) ) )).
fof(l1_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( r1_xxreal_0(k7_xcmplx_0(B,A),k2_xcmplx_0(k1_int_1(k7_xcmplx_0(B,A)),1)) => ( A = k5_numbers | r1_xxreal_0(k6_xcmplx_0(B,k3_xcmplx_0(k1_int_1(k7_xcmplx_0(B,A)),A)),A) ) ) ) ) )).
fof(l1_euler_2,axiom,( ! [A] : ( v1_int_1(A) => ( ~ r1_xxreal_0(1,A) <=> r1_xxreal_0(A,k5_numbers) ) ) )).
fof(l1_extens_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,C) => ! [F] : ( m2_pboole(F,A,C,D) => ( v1_relat_1(k8_pboole(E,F)) & v4_relat_1(k8_pboole(E,F),A) & v1_funct_1(k8_pboole(E,F)) & v1_partfun1(k8_pboole(E,F),A) ) ) ) ) ) ) )).
fof(l1_fdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(C,E) = A ) ) & D = k1_taylor_1(2) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B),E) = k3_xcmplx_0(2,E) ) ) ) ) ) ) ) ) )).
fof(l1_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => k6_xcmplx_0(1,k19_sin_cos(k3_xcmplx_0(2,A))) = k3_xcmplx_0(2,k1_square_1(k17_sin_cos(A))) ) )).
fof(l1_fib_fusc,axiom,( k5_numbers = k1_int_1(k3_power(2,1)) )).
fof(l1_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k4_xcmplx_0(A),k3_xcmplx_0(A,k2_power(k4_xcmplx_0(1),B))) ) ) )).
fof(l1_finseq_6,axiom,( ! [A] : ! [B] : k10_xtuple_0(k10_finseq_1(A,B)) = k2_tarski(A,B) )).
fof(l1_frechet,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(1,B)) & ~ r1_xxreal_0(B,k5_numbers) ) ) ) ) )).
fof(l1_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)) = k6_domain_1(u1_struct_0(A),B) ) => v7_pre_topc(A) ) ) )).
fof(l1_friends1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( k3_xcmplx_0(B,A) = k2_card_2(B,A) & k2_xcmplx_0(B,A) = k1_card_2(B,A) ) ) ) )).
fof(l1_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( k4_tarski(k4_tarski(A,E),k4_tarski(B,F)) = k4_tarski(k4_tarski(C,G),k4_tarski(D,H)) => ( A = C & B = D & E = G & F = H ) ) )).
fof(l1_fuzzy_4,axiom,( v1_xreal_0(1) )).
fof(l1_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k9_xtuple_0(k1_funct_4(A,k17_funcop_1(B,C))) = k2_xboole_0(k9_xtuple_0(A),k1_tarski(B)) ) )).
fof(l1_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k9_xtuple_0(k1_funct_4(A,k17_funcop_1(B,C))) = k2_xboole_0(k9_xtuple_0(A),k1_tarski(B)) ) )).
fof(l1_goboard3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( ( k3_finseq_1(A) = k1_nat_1(B,1) & v2_topreal1(A) ) => ( B = k5_numbers | v2_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) ) )).
fof(l1_goboard6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k3_rlvect_1(k15_euclid(2),A,B)) = k2_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k18_euclid(k3_rlvect_1(k15_euclid(2),A,B)) = k2_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) )).
fof(l1_gobrd11,axiom,( ~ r1_xxreal_0(k3_square_1(2),k5_numbers) )).
fof(l1_gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)) = u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) ) )).
fof(l1_gobrd14,axiom,( u1_struct_0(k15_euclid(2)) = k1_euclid(2) )).
fof(l1_gr_cy_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_tarski(A,k5_card_1(B)) => m1_subset_1(A,k4_ordinal1) ) ) )).
fof(l1_group_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(g3_algstr_0(k1_numbers,k9_binop_2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g3_algstr_0(k1_numbers,k9_binop_2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g3_algstr_0(k1_numbers,k9_binop_2))) => k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),A,B),C) = k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),A,k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),B,C)) ) ) ) & ? [A] : ( m1_subset_1(A,u1_struct_0(g3_algstr_0(k1_numbers,k9_binop_2))) & ! [B] : ( m1_subset_1(B,u1_struct_0(g3_algstr_0(k1_numbers,k9_binop_2))) => ( k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),B,A) = B & k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),A,B) = B & ? [C] : ( m1_subset_1(C,u1_struct_0(g3_algstr_0(k1_numbers,k9_binop_2))) & k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),B,C) = A & k6_algstr_0(g3_algstr_0(k1_numbers,k9_binop_2),C,B) = A ) ) ) ) )).
fof(l1_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r2_hidden(A,C) => m1_subset_1(A,u1_struct_0(B)) ) ) ) )).
fof(l1_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,k4_algstr_0(A,C)) = k4_algstr_0(A,k6_algstr_0(A,B,C)) ) ) ) )).
fof(l1_hermitan,axiom,( k5_numbers = k2_xcmplx_0(k5_numbers,k3_xcmplx_0(k5_numbers,k7_complex1)) )).
fof(l1_heyting3,axiom,( ! [A] : ! [B] : ( v1_relat_1(k2_zfmisc_1(A,k1_tarski(B))) & v1_funct_1(k2_zfmisc_1(A,k1_tarski(B))) ) )).
fof(l1_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v4_aff_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r1_aff_1(A,B,C,D) & r1_aff_1(A,B,E,F) & r1_aff_1(A,B,G,H) & r2_analoaf(A,C,E,D,F) & r2_analoaf(A,C,G,D,H) ) => ( r1_aff_1(A,B,C,E) | r1_aff_1(A,B,C,G) | r2_analoaf(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l1_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( v7_ordinal1(D) => ( ( C = k2_partfun1(k4_ordinal1,u1_struct_0(A),B,k2_finseq_1(D)) & k3_finseq_1(B) = k1_nat_1(D,1) ) => ( m2_finseq_1(C,u1_struct_0(A)) & r1_tarski(k4_finseq_1(C),k4_finseq_1(B)) & k3_finseq_1(C) = D & B = k7_finseq_1(C,k12_finseq_1(u1_struct_0(A),k7_partfun1(u1_struct_0(A),B,k1_nat_1(D,1)))) ) ) ) ) ) ) )).
fof(l1_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( v1_int_2(B) => ( A = k5_numbers | r1_xxreal_0(B,A) | r1_int_2(A,B) ) ) ) ) )).
fof(l1_int_1,axiom,( ! [A] : ~ ( r2_hidden(A,k6_subset_1(k2_zfmisc_1(k1_tarski(k5_numbers),k4_ordinal1),k1_tarski(k4_tarski(k5_numbers,k5_numbers)))) & ! [B] : ( v7_ordinal1(B) => A != k4_xcmplx_0(B) ) ) )).
fof(l1_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => m2_finseq_1(A,k4_numbers) ) )).
fof(l1_int_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( D != A => k1_funct_1(k1_funct_7(k8_funcop_1(k4_ordinal1,C,k5_numbers),A,B),D) = k5_numbers ) )).
fof(l1_integr11,axiom,( k2_subset_1(k1_numbers) = k9_xtuple_0(k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers)) )).
fof(l1_integr13,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_tarski(k5_numbers,A) => k8_relset_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_seq_4(k5_numbers)) = k1_seq_4(k5_numbers) ) ) )).
fof(l1_integr14,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_tarski(k5_numbers,A) => k8_relset_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_seq_4(k5_numbers)) = k1_seq_4(k5_numbers) ) ) )).
fof(l1_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => r2_relset_1(k1_numbers,k1_euclid(A),k8_integr15(A,k1_numbers,B,C),k7_integr15(A,k1_numbers,B,k2_nfcont_4(A,k1_numbers,C))) ) ) ) )).
fof(l1_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,B) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => r1_tarski(k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)),k3_integra5(A,B)) ) ) ) ) ) )).
fof(l1_integra3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k1_nat_1(k7_nat_d(A,A),1) = 1 ) )).
fof(l1_integra8,axiom,( ~ r1_xxreal_0(k17_sin_cos(k7_xcmplx_0(k28_sin_cos,4)),k5_numbers) )).
fof(l1_integra9,axiom,( k1_relset_1(k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(1),k5_numbers),k22_sin_cos))) = k2_subset_1(k1_numbers) )).
fof(l1_jgraph_3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ r1_xxreal_0(k2_xcmplx_0(k1_square_1(A),1),k5_numbers) ) )).
fof(l1_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ ( A != k4_struct_0(k15_euclid(2)) & r1_xxreal_0(k12_euclid(A),k5_numbers) ) ) )).
fof(l1_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k3_xcmplx_0(A,k3_square_1(k2_xcmplx_0(1,k1_square_1(B)))),k3_xcmplx_0(B,k3_square_1(k2_xcmplx_0(1,k1_square_1(A))))) ) ) ) )).
fof(l1_jgraph_8,axiom,( k17_borsuk_1 = k3_pcomps_1(k2_topmetr(k5_numbers,1)) )).
fof(l1_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_tarski(A,D) & r1_tarski(B,D) & r1_tarski(C,D) ) => r1_tarski(k2_xboole_0(k2_xboole_0(A,B),C),D) ) )).
fof(l1_jordan1,axiom,( r2_tarski(k5_numbers,k1_rcomp_1(k5_numbers,1)) & r2_tarski(1,k1_rcomp_1(k5_numbers,1)) )).
fof(l1_jordan11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_topreal2(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(k1_jordan8(D,A))) & r1_xxreal_0(C,B) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(D,A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),C)),k8_jordan6(k3_topreal1(2,k1_jordan9(D,A)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),B)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),C)),k9_jordan6(k3_topreal1(2,k1_jordan9(D,A)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),C)) ) => ( r1_xxreal_0(A,k5_numbers) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,A),k1_jordan1a(k1_jordan8(D,A)),C)),k2_pre_topc(k15_euclid(2),k3_goboard9(k1_jordan9(D,A)))) ) ) ) ) ) ) )).
fof(l1_jordan12,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_zfmisc_1(k4_finseq_1(A)) => v1_zfmisc_1(k3_finseq_1(A)) ) ) )).
fof(l1_jordan18,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),k4_pscomp_1) = u1_struct_0(k15_euclid(2)) )).
fof(l1_jordan1a,axiom,( 3 = k1_nat_1(k2_nat_1(2,1),1) )).
fof(l1_jordan1c,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => k6_xcmplx_0(k1_int_1(k2_xcmplx_0(A,B)),B) = k1_int_1(A) ) ) )).
fof(l1_jordan1d,axiom,( 1 = k1_nat_1(k2_nat_1(2,k5_numbers),1) )).
fof(l1_jordan21,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),k5_pscomp_1) = u1_struct_0(k15_euclid(2)) )).
fof(l1_jordan22,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r2_hidden(A,k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,B) & k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,C) = A ) ) ) ) ) )).
fof(l1_jordan2b,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ? [D] : ( v1_xreal_0(D) & ? [E] : ( m2_finseq_1(E,k1_numbers) & E = C & D = k7_partfun1(k1_numbers,E,B) ) ) ) ) ) )).
fof(l1_jordan7,axiom,( k7_nat_d(2,1) = 1 )).
fof(l1_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k1_nat_1(k7_nat_d(A,1),2) = k1_nat_1(A,1) ) ) )).
fof(l1_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_xboole_0(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(D,B) & D != C & r3_orders_2(k3_lattice3(A),D,C) ) ) ) ) ) ) ) )).
fof(l1_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k9_xtuple_0(k1_funct_4(A,k17_funcop_1(B,C))) = k2_xboole_0(k9_xtuple_0(A),k1_tarski(B)) ) )).
fof(l1_limfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(C,k5_numbers) | ( ~ r1_xxreal_0(B,k6_xcmplx_0(A,C)) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),A) ) ) ) ) ) ) )).
fof(l1_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,C) => ( r1_xxreal_0(B,k5_numbers) | ( ~ r1_xxreal_0(C,k6_xcmplx_0(A,B)) & ~ r1_xxreal_0(k2_xcmplx_0(C,B),A) ) ) ) ) ) ) )).
fof(l1_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,C) => ( r1_xxreal_0(A,k5_numbers) | ( ~ r1_xxreal_0(C,k6_xcmplx_0(B,A)) & ~ r1_xxreal_0(k2_xcmplx_0(C,A),B) ) ) ) ) ) ) )).
fof(l1_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ( ~ r1_xxreal_0(A,k6_xcmplx_0(A,B)) & ~ r1_xxreal_0(k2_xcmplx_0(A,B),A) ) ) ) ) )).
fof(l1_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k4_algstr_0(A,k5_algstr_0(A,B,C)) = k5_algstr_0(A,k4_algstr_0(A,B),k4_algstr_0(A,C)) & k3_rlvect_1(A,k5_algstr_0(A,B,C),D) = k5_algstr_0(A,k3_rlvect_1(A,B,D),C) ) ) ) ) ) )).
fof(l1_ltlaxio1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => k1_funct_1(B,C) = k7_partfun1(A,B,C) ) ) ) )).
fof(l1_ltlaxio2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k1_funct_1(A,k5_numbers) = k5_numbers ) )).
fof(l1_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(C),A,B) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(C))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(C),A,B) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(C))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(C),A,B) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(C))) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(C)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(C)) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ( ( r2_tarski(K,k2_finseq_1(A)) & r2_tarski(L,k2_finseq_1(k1_matrix_0(F))) & I = k7_matrix_0(u1_struct_0(C),F,E) & J = k7_matrix_0(u1_struct_0(C),F,D) & G = k3_matrix11(D,A,B,u1_struct_0(C),F,I) & H = k3_matrix11(E,A,B,u1_struct_0(C),G,J) ) => ( ( K = E => k3_matrix_0(u1_struct_0(C),H,K,L) = k3_matrix_0(u1_struct_0(C),F,D,L) ) & ( K = D => k3_matrix_0(u1_struct_0(C),H,K,L) = k3_matrix_0(u1_struct_0(C),F,E,L) ) & ~ ( K != E & K != D & k3_matrix_0(u1_struct_0(C),H,K,L) != k3_matrix_0(u1_struct_0(C),F,K,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l1_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(B,A) & r1_xxreal_0(1,B) ) => k5_int_1(k6_xcmplx_0(B,1),A) = k6_xcmplx_0(B,1) ) ) ) )).
fof(l1_matrix17,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(A)) => r2_tarski(k6_xcmplx_0(k2_xcmplx_0(A,1),B),k2_finseq_1(A)) ) ) ) )).
fof(l1_matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k4_finseq_1(k3_fvsum_1(A,B,C)) = k9_subset_1(k4_ordinal1,k4_finseq_1(B),k4_finseq_1(C)) ) ) ) )).
fof(l1_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v2_funct_1(C) & r2_tarski(A,k9_xtuple_0(C)) ) => k10_xtuple_0(k1_funct_7(C,A,B)) = k2_xboole_0(k6_subset_1(k10_xtuple_0(C),k1_tarski(k1_funct_1(C,A))),k1_tarski(B)) ) ) )).
fof(l1_matrixr2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( v7_ordinal1(C) => ( k3_finseq_1(A) = k3_finseq_1(B) => k1_funct_1(k8_rvsum_1(A,B),C) = k6_xcmplx_0(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) ) ) )).
fof(l1_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => u1_struct_0(k6_prvect_1(k2_vectsp_1,A)) = u1_struct_0(k15_euclid(A)) ) )).
fof(l1_mazurulm,axiom,( m1_subset_1(k2_urysohn1,k1_zfmisc_1(u1_struct_0(k5_topmetr))) )).
fof(l1_mesfunc5,axiom,( v1_xreal_0(1) )).
fof(l1_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & ~ r1_borsuk_3(k2_brouwer(A,B,D),k2_brouwer(A,C,E)) ) ) ) ) ) ) )).
fof(l1_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers)))) & v13_algstr_0(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers)))) & v7_vectsp_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers))),A) & v8_vectsp_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers))),A) & v9_vectsp_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers))),A) & v10_vectsp_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers))),A) & v11_vectsp_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers))),A) & v2_rlvect_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers)))) & v3_rlvect_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers)))) & v4_rlvect_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers)))) & l1_vectsp_1(g1_vectsp_1(A,k1_tarski(k5_numbers),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_numbers))),A) ) ) )).
fof(l1_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k4_algstr_0(A,B) = k4_struct_0(A) => B = k4_struct_0(A) ) ) ) )).
fof(l1_modal_1,axiom,( ! [A] : ( v7_ordinal1(A) => r2_xboole_0(k1_xboole_0,k14_trees_3(A)) ) )).
fof(l1_modelc_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,k1_nat_1(C,1)) => ( r1_xxreal_0(B,A) | r1_xxreal_0(A,C) ) ) ) ) ) )).
fof(l1_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_tarski(A,k2_xboole_0(k2_xboole_0(B,C),D)) <=> ~ ( ~ r2_tarski(A,B) & ~ r2_tarski(A,C) & ~ r2_tarski(A,D) ) ) )).
fof(l1_moebius1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( r1_xboole_0(A,B) & r2_tarski(D,k3_xboole_0(A,C)) & r2_tarski(D,k3_xboole_0(B,C)) ) )).
fof(l1_msaterm,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( A = k1_nat_1(C,1) & ~ r1_xxreal_0(k3_finseq_1(B),C) ) ) ) ) )).
fof(l1_nagata_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => ( r1_xxreal_0(C,k2_xcmplx_0(A,B)) | ( ~ r1_xxreal_0(C,A) & ~ r1_xxreal_0(C,B) ) ) ) ) ) ) )).
fof(l1_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( v1_int_2(A) => k11_nat_3(k6_nat_d(B,C),A) = k3_xxreal_0(k11_nat_3(B,A),k11_nat_3(C,A)) ) ) ) ) )).
fof(l1_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(1,A) = 1 ) )).
fof(l1_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => v7_ordinal1(k4_int_1(A,B)) ) ) )).
fof(l1_nbvectsp,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_2(C,B,k4_finseq_2(A,B)) => ( k3_finseq_1(C) = A & m2_finseq_2(C,B,k3_finseq_2(B)) ) ) ) ) )).
fof(l1_ndiff_4,axiom,( u1_struct_0(k4_real_ns1(1)) = k1_euclid(1) )).
fof(l1_ndiff_7,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l1_newton01,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k1_newton(k2_xcmplx_0(A,B),2) = k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,2),k3_xcmplx_0(k3_xcmplx_0(2,A),B)),k1_newton(B,2)) ) ) )).
fof(l1_normsp_0,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l1_normsp_1,axiom,( u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)) = k6_domain_1(u1_struct_0(o_0_5_normsp_1),k4_struct_0(o_0_5_normsp_1)) )).
fof(l1_numbers,axiom,( r1_tarski(k4_ordinal1,k2_xboole_0(k6_subset_1(a_0_1_numbers,a_0_2_numbers),k4_ordinal1)) )).
fof(l1_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( D = k8_finseq_1(u1_struct_0(A),B,C) <=> ( k4_finseq_1(D) = k2_finseq_1(k1_nat_1(k3_finseq_1(B),k3_finseq_1(C))) & ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A),D,E) = k7_partfun1(u1_struct_0(A),B,E) ) ) & ! [E] : ( v7_ordinal1(E) => ( r2_hidden(E,k4_finseq_1(C)) => k7_partfun1(u1_struct_0(A),D,k2_xcmplx_0(k3_finseq_1(B),E)) = k7_partfun1(u1_struct_0(A),C,E) ) ) ) ) ) ) ) ) )).
fof(l1_ordeq_02,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l1_orders_1,axiom,( ! [A] : ( ~ ( ? [B] : ( B != k1_xboole_0 & r2_tarski(B,A) ) & k3_tarski(A) = k1_xboole_0 ) & ~ ( k3_tarski(A) != k1_xboole_0 & ! [B] : ~ ( B != k1_xboole_0 & r2_tarski(B,A) ) ) ) )).
fof(l1_ordinal4,axiom,( r2_tarski(k1_xboole_0,k4_ordinal1) )).
fof(l1_ortsp_1,axiom,( ~ v1_xboole_0(k1_tarski(k5_numbers)) )).
fof(l1_osalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_finseq_1(C,A) => ( k4_finseq_1(k3_relat_1(C,B)) = k4_finseq_1(C) & k3_finseq_1(k3_relat_1(C,B)) = k3_finseq_1(C) ) ) ) )).
fof(l1_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_algstr_0(A,k5_algstr_0(A,B,C)) = k5_algstr_0(A,C,B) ) ) ) )).
fof(l1_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k5_algstr_0(A,B,C) = k4_struct_0(A) => B = C ) ) ) ) )).
fof(l1_partfun4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => v1_pscomp_1(k8_funcop_1(k1_numbers,u1_struct_0(A),B),A) ) ) )).
fof(l1_pcs_0,axiom,( m2_subset_1(k5_numbers,k4_ordinal1,k7_domain_1(k4_ordinal1,k5_numbers,1)) & m2_subset_1(1,k4_ordinal1,k7_domain_1(k4_ordinal1,k5_numbers,1)) )).
fof(l1_pdiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_nfcont_1(C,A,B) => ! [D] : ( m1_nfcont_1(D,A,B) => m1_nfcont_1(k9_subset_1(u1_struct_0(A),C,D),A,B) ) ) ) ) )).
fof(l1_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & 1 = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,C),A),B),C) ) => ( r1_xxreal_0(A,1) | ( B = 1 & C = k5_numbers ) ) ) ) ) ) )).
fof(l1_polyeq_2,axiom,( 4 = k3_xcmplx_0(2,2) )).
fof(l1_polynom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_relat_2(C,B) & r4_relat_2(C,B) & r8_relat_2(C,B) ) ) ) )).
fof(l1_polynom8,axiom,( ! [A] : ( v1_int_1(A) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & A != k4_xcmplx_0(1) & r1_xxreal_0(k4_xcmplx_0(1),A) ) ) )).
fof(l1_polyred,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_orders_1(C) => r3_orders_1(C,B) ) ) ) )).
fof(l1_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_tarski(A,k2_xboole_0(k2_xboole_0(B,C),D)) <=> ~ ( ~ r2_tarski(A,B) & ~ r2_tarski(A,C) & ~ r2_tarski(A,D) ) ) )).
fof(l1_prob_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(C,k5_numbers) | ( ~ r1_xxreal_0(k2_xcmplx_0(B,C),A) & ~ r1_xxreal_0(B,k6_xcmplx_0(A,C)) ) ) ) ) ) ) )).
fof(l1_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,B) => k6_subset_1(A,C) = k2_xboole_0(k6_subset_1(A,B),k9_subset_1(B,A,k6_subset_1(B,C))) ) )).
fof(l1_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v3_xxreal_2(A) => v4_xxreal_2(k3_measure6(A)) ) ) )).
fof(l1_pua2mss1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k9_xtuple_0(B) = k4_finseq_1(A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) ) )).
fof(l1_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ? [B] : ( m1_subset_1(B,k1_numbers) & ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( m1_subset_1(D,k1_numbers) & ? [E] : ( m1_subset_1(E,k1_numbers) & A = k5_quaterni(B,C,D,E) ) ) ) ) ) )).
fof(l1_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k1_radix_1(A) = k2_xcmplx_0(k1_radix_1(k7_nat_d(A,1)),k1_radix_1(k7_nat_d(A,1))) ) ) )).
fof(l1_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k2_xcmplx_0(A,2),1) ) ) )).
fof(l1_rat_1,axiom,( r1_tarski(k4_ordinal1,k2_xboole_0(k6_subset_1(a_0_0_rat_1,a_0_1_rat_1),k4_ordinal1)) )).
fof(l1_real,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,A) ) => A = B ) ) ) )).
fof(l1_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( A = k2_xcmplx_0(k3_xcmplx_0(B,C),D) => ( k6_xcmplx_0(k7_xcmplx_0(A,B),C) = k5_numbers | D = k5_numbers | B = k5_numbers | k7_xcmplx_0(1,k6_xcmplx_0(k7_xcmplx_0(A,B),C)) = k7_xcmplx_0(B,D) ) ) ) ) ) ) )).
fof(l1_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)))) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k4_binop_1(k1_euclid(A),B,C,D) = k7_euclid(A,C,D) ) ) & v1_binop_1(B,k1_euclid(A)) & v2_binop_1(B,k1_euclid(A)) ) ) )).
fof(l1_rearran1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ~ r2_hidden(B,k10_xtuple_0(A)) => k8_relat_1(A,k1_tarski(B)) = k1_xboole_0 ) ) )).
fof(l1_recdef_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) ) => m1_subset_1(k1_funct_1(C,A),B) ) ) ) ) )).
fof(l1_rfunct_1,axiom,( k5_xcmplx_0(k4_xcmplx_0(1)) = k4_xcmplx_0(1) )).
fof(l1_rinfsup1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(C,k5_numbers) | ( ~ r1_xxreal_0(k2_xcmplx_0(B,C),A) & ~ r1_xxreal_0(B,k6_xcmplx_0(A,C)) ) ) ) ) ) ) )).
fof(l1_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k3_convex1(A,B)) ) ) )).
fof(l1_rlaffin2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( k3_rlvect_1(B,k1_rlvect_1(B,D,A),k1_rlvect_1(B,E,k6_xcmplx_0(1,A))) = C => ( A = 1 | E = k3_rlvect_1(B,k1_rlvect_1(B,C,k7_xcmplx_0(1,k6_xcmplx_0(1,A))),k1_rlvect_1(B,D,k6_xcmplx_0(1,k7_xcmplx_0(1,k6_xcmplx_0(1,A))))) ) ) ) ) ) ) ) )).
fof(l1_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k5_rlvect_2(A,k8_finseq_1(u1_struct_0(A),B,C),D) = k8_finseq_1(u1_struct_0(A),k5_rlvect_2(A,B,D),k5_rlvect_2(A,C,D)) ) ) ) ) )).
fof(l1_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ? [D] : ( m2_rlvect_2(D,A,k6_domain_1(u1_struct_0(A),B)) & k3_funct_2(u1_struct_0(A),k1_numbers,D,B) = C ) ) ) ) )).
fof(l1_rlvect_x,axiom,( v1_xreal_0(k5_numbers) )).
fof(l1_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( ( k3_finseq_1(D) = k1_nat_1(k3_finseq_1(E),1) & E = k2_partfun1(k4_ordinal1,u1_struct_0(B),D,k2_finseq_1(k3_finseq_1(E))) & C = k1_funct_1(D,k3_finseq_1(D)) ) => k4_rlvect_1(B,D) = k3_rlvect_1(B,k4_rlvect_1(B,E),C) ) ) ) ) ) ) )).
fof(l1_rsspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(A,C),B) ) => r1_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,A)),B) ) ) ) )).
fof(l1_scm_comp,axiom,( 1 = a_0_0_scm_comp )).
fof(l1_scm_halt,axiom,( v1_relat_1(k1_xboole_0) & v4_relat_1(k1_xboole_0,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(k1_xboole_0) & v5_funct_1(k1_xboole_0,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) )).
fof(l1_scmfsa_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) ) => ( k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D) = k1_ordinal4(k1_ordinal4(A,B),k1_ordinal4(C,D)) & k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D) = k1_ordinal4(A,k1_ordinal4(k1_ordinal4(B,C),D)) & k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D) = k1_ordinal4(A,k1_ordinal4(B,k1_ordinal4(C,D))) & k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D) = k1_ordinal4(k1_ordinal4(A,k1_ordinal4(B,C)),D) ) ) ) ) ) )).
fof(l1_scmpds_5,axiom,( k4_card_1(k4_compos_1(k1_scmpds_2)) = 1 )).
fof(l1_scmpds_6,axiom,( k1_funct_1(k4_compos_1(k1_scmpds_2),k5_numbers) = k2_compos_1(k1_scmpds_2) )).
fof(l1_scmpds_9,axiom,( ! [A] : ( v1_int_1(A) => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k3_scmpds_2(A)) = k1_xboole_0 ) )).
fof(l1_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) <=> ( k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( r2_tarski(D,k4_ordinal1) => ( v1_funct_1(k1_funct_1(C,D)) & m1_subset_1(k1_funct_1(C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) ) ) )).
fof(l1_seqm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,A) & ! [C] : ( v7_ordinal1(C) => B != k2_xcmplx_0(k1_nat_1(A,1),C) ) ) ) ) )).
fof(l1_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => k1_square_1(A) = k1_newton(A,2) ) )).
fof(l1_series_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( 4 = k11_newton(2,2) & k1_newton(k2_xcmplx_0(A,B),2) = k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,2),k3_xcmplx_0(k3_xcmplx_0(2,A),B)),k1_newton(B,2)) ) ) ) )).
fof(l1_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k6_xcmplx_0(k1_newton(A,3),k1_newton(B,3)) = k3_xcmplx_0(k6_xcmplx_0(A,B),k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k3_xcmplx_0(A,B)),k1_square_1(B))) ) ) )).
fof(l1_setlim_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(A,B) & A != B & ~ r1_xxreal_0(k1_nat_1(A,1),B) ) ) ) )).
fof(l1_setwop_2,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A),k5_finsub_1(k4_ordinal1)) ) )).
fof(l1_simplex2,axiom,( v1_xreal_0(1) & v2_xxreal_0(1) )).
fof(l1_sin_cos7,axiom,( k4_power != 1 )).
fof(l1_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,k4_sin_cos2(A)) & k4_sin_cos2(k5_numbers) = 1 & k2_sin_cos2(k5_numbers) = k5_numbers ) ) )).
fof(l1_sincos10,axiom,( r1_tarski(k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l1_symsp_1,axiom,( m1_subset_1(k5_numbers,k1_tarski(k5_numbers)) )).
fof(l1_sysrel,axiom,( ! [A] : ! [B] : ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ~ ( k9_xtuple_0(k2_zfmisc_1(A,B)) = A & k10_xtuple_0(k2_zfmisc_1(A,B)) = B ) ) )).
fof(l1_topalg_3,axiom,( u1_struct_0(k2_borsuk_1(k17_borsuk_1,k17_borsuk_1)) = k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k17_borsuk_1)) )).
fof(l1_topalg_4,axiom,( r2_tarski(1,k2_tarski(1,2)) )).
fof(l1_topalg_5,axiom,( r2_tarski(k5_numbers,k4_numbers) )).
fof(l1_topalg_7,axiom,( u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)) = k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) )).
fof(l1_topgen_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_tarski(B,k8_relat_1(A,k1_tarski(C))) => k1_funct_1(A,B) = C ) ) )).
fof(l1_topreal2,axiom,( ! [A] : ! [B] : ( ~ r2_tarski(A,B) => k3_xboole_0(k1_tarski(A),B) = k1_xboole_0 ) )).
fof(l1_topreal5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E)) & v1_funct_2(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),u1_struct_0(A),u1_struct_0(C)) & v5_pre_topc(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) & m1_subset_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) ) ) ) ) )).
fof(l1_topreala,axiom,( u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)) = k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) )).
fof(l1_toprealb,axiom,( r2_tarski(k5_numbers,k4_numbers) )).
fof(l1_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( r2_tarski(C,k1_rcomp_1(A,B)) => m1_subset_1(C,k1_numbers) ) ) ) )).
fof(l1_trees_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(B)) ) => k1_funct_1(k7_finseq_1(B,C),A) = k1_funct_1(B,A) ) ) ) ) )).
fof(l1_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,A) => ( ( r2_hidden(B,k4_finseq_1(C)) | r2_hidden(B,k4_finseq_1(C)) ) => r2_tarski(k1_funct_1(C,B),A) ) ) )).
fof(l1_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ~ ( A = k1_nat_1(C,1) & ~ r1_xxreal_0(k3_finseq_1(B),C) ) ) ) ) )).
fof(l1_tsep_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( k7_subset_1(A,B,C) = k1_xboole_0 => r1_xboole_0(B,k7_subset_1(A,D,C)) ) ) ) ) )).
fof(l1_uniroots,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v8_ordinal1(A) <=> r1_xxreal_0(1,A) ) ) )).
fof(l1_uproots,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l1_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( B != k1_xboole_0 & r1_xboole_0(B,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A))))) ) => ~ ( r1_tarski(B,k1_funct_1(D,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(D,1)) & ! [E] : ( m2_subset_1(E,k1_numbers,k1_urysohn1(k5_numbers)) => ! [F] : ( m2_subset_1(F,k1_numbers,k1_urysohn1(k5_numbers)) => ( ~ r1_xxreal_0(F,E) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,E),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,F),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,E)),k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(l1_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k9_xtuple_0(B) = k4_finseq_1(A) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) ) )).
fof(l1_valued_2,axiom,( ! [A] : ! [B] : ! [C] : k3_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)) )).
fof(l1_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v4_vectsp_1(A) => k5_struct_0(A) = k1_group_1(A) ) ) )).
fof(l1_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_vectsp_1(A,B,k5_algstr_0(A,C,D),E) = k5_algstr_0(B,k3_vectsp_1(A,B,C,E),k3_vectsp_1(A,B,D,E)) ) ) ) ) ) )).
fof(l1_vectsp_9,axiom,( ! [A] : ! [B] : ( r2_tarski(B,A) => k2_xboole_0(k6_subset_1(A,k1_tarski(B)),k1_tarski(B)) = A ) )).
fof(l1_waybel11,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & r1_orders_2(A,C,D) ) => r1_orders_2(B,E,F) ) ) ) ) ) ) ) )).
fof(l1_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ v1_xboole_0(a_3_1_waybel12(A,B,C)) & v1_finset_1(a_3_1_waybel12(A,B,C)) & m1_subset_1(a_3_1_waybel12(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(l1_waybel22,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( r1_tarski(B,k9_setfam_1(u1_struct_0(A))) => k2_yellow_0(A,k3_tarski(B)) = k2_yellow_0(A,a_2_2_waybel22(A,B)) ) ) )).
fof(l1_waybel35,axiom,( ! [A] : ! [B] : ! [C] : ~ ( r2_tarski(B,k2_xboole_0(k1_tarski(A),C)) & B != A & ~ r2_tarski(B,C) ) )).
fof(l1_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_xboole_0(k1_waybel_3(A,B)) & v1_waybel_0(k1_waybel_3(A,B),A) & v12_waybel_0(k1_waybel_3(A,B),A) & m1_subset_1(k1_waybel_3(A,B),k1_zfmisc_1(u1_struct_0(A))) & r3_orders_2(A,B,k1_yellow_0(A,k1_waybel_3(A,B))) & ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_orders_2(A,B,k1_yellow_0(A,C)) => r1_tarski(k1_waybel_3(A,B),C) ) ) ) ) ) )).
fof(l1_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_relat_2(A) <=> ! [B] : ( r2_hidden(B,k1_relat_1(A)) => r2_hidden(k4_tarski(B,B),A) ) ) ) )).
fof(l1_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ ( ~ ( r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2) & ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = C & B = D & r1_arytm_2(C,D) ) ) ) & ~ ( r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & r2_hidden(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = k4_tarski(k5_numbers,C) & B = k4_tarski(k5_numbers,D) & r1_arytm_2(D,C) ) ) ) & ~ ( r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) ) => r1_xxreal_0(A,B) ) ) ) )).
fof(l1_xxreal_0,axiom,( ~ r2_tarski(k1_numbers,k1_numbers) )).
fof(l1_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r2_tarski(C,A) & r2_tarski(D,B) ) => k1_binop_1(k13_funct_3(k10_funct_3(A,B),k9_funct_3(A,B)),C,D) = k4_tarski(D,C) ) )).
fof(l1_zfmisc_1,axiom,( ! [A] : ! [B] : ( r1_tarski(k1_tarski(A),B) <=> r2_hidden(A,B) ) )).
fof(l1_zfrefle1,axiom,( r2_tarski(k1_xboole_0,k4_ordinal1) )).
fof(l200_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( r2_tarski(A,k2_jgraph_6(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3)) => r1_tarski(k2_jgraph_6(k4_xcmplx_0(1),1,k4_xcmplx_0(3),3),k1_topreal9(2,A,10)) ) ) )).
fof(l202_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) & ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & v1_jordan21(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v2_compts_1(C,k15_euclid(2)) & v1_jordan21(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers),B) & r1_topreal1(k15_euclid(2),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers),C) & A = k4_subset_1(u1_struct_0(k15_euclid(2)),B,C) & k9_subset_1(u1_struct_0(k15_euclid(2)),B,C) = k7_domain_1(u1_struct_0(k15_euclid(2)),k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) & r2_tarski(k1_jordan21(A),B) & r2_tarski(k2_jordan21(A),C) & k6_pscomp_1(A) = k6_pscomp_1(B) & k8_pscomp_1(A) = k8_pscomp_1(B) ) ) ) ) ) )).
fof(l204_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(1,k5_xcmplx_0(A)) ) ) )).
fof(l204_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => ~ ( C != k5_numbers & D != k5_numbers & k1_binop_1(k12_zmodul01(A),k3_xcmplx_0(C,D),B) != k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,B)) ) ) ) ) ) )).
fof(l205_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_jordan24(2,A,k19_euclid(k4_xcmplx_0(1),k5_numbers),k19_euclid(1,k5_numbers)) => v1_jordan1(A) ) ) )).
fof(l205_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => ( ( C = k5_numbers | D = k5_numbers ) => k1_binop_1(k12_zmodul01(A),k3_xcmplx_0(C,D),B) = k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,B)) ) ) ) ) ) )).
fof(l206_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v1_jordan1(A) ) )).
fof(l206_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(k5_numbers,A) ) => r1_xxreal_0(k7_xcmplx_0(A,B),1) ) ) ) )).
fof(l207_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(B,A) & r1_xxreal_0(k5_numbers,A) ) => r1_xxreal_0(k7_xcmplx_0(B,A),1) ) ) ) )).
fof(l20_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k2_algseq_1(A,k4_struct_0(A))) => k1_algseq_1(A,B) = k5_numbers ) ) ) )).
fof(l20_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) != k5_struct_0(A) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k4_struct_0(A)) = k4_struct_0(A) ) ) => ( k4_struct_0(A) = k5_struct_0(A) | ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,C,B) != k5_struct_0(A) ) ) ) ) ) ) )).
fof(l20_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( D = k3_rlvect_1(A,B,k1_rlvect_1(A,C,G)) & E = k3_rlvect_1(A,B,k1_rlvect_1(A,F,H)) & r1_anproj_1(A,D,E) ) => ( G = k5_numbers | r2_anproj_1(A,B,C,F) ) ) ) ) ) ) ) ) ) ) )).
fof(l20_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(k1_arytm_1(C,B),A) <=> r1_arytm_2(C,k7_arytm_2(A,B)) ) ) ) ) )).
fof(l20_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ( k4_arytm_2(A) = k11_arytm_3 <=> A = k11_arytm_3 ) ) )).
fof(l20_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & l1_funcsdom(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_rlvect_1(A,B,1) = B ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) ) ) )).
fof(l20_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ( C = D => k1_rlvect_1(k5_c0sp2(A),C,B) = k1_rlvect_1(k11_c0sp1(u1_struct_0(A)),D,B) ) ) ) ) ) )).
fof(l20_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( r2_tarski(B,k2_cc0sp2(A)) => r2_tarski(B,k2_cc0sp1(u1_struct_0(A))) ) ) )).
fof(l20_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( k3_finseq_1(B) = k5_numbers => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(l20_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) ) => ! [B] : ( m1_subset_1(B,A) => r1_tarski(k5_finsub_1(B),A) ) ) )).
fof(l20_complex1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( A = C & B = D ) => k1_arytm_0(A,B) = k2_xcmplx_0(C,D) ) ) ) ) ) )).
fof(l20_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => k7_nat_d(k4_card_1(k4_compos_1(A)),1) = k5_numbers ) )).
fof(l20_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_funct_1(C) & k2_relset_1(u1_struct_0(B),C) = u1_struct_0(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_lattices(A,D,E) <=> r3_lattices(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) => m1_lattice4(C,A,B) ) ) ) ) )).
fof(l20_connsp_3,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_connsp_1(C,A) ) ) & k1_struct_0(A) = k5_setfam_1(u1_struct_0(A),B) ) ) )).
fof(l20_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v1_xreal_0(D) => ( r1_tarski(B,C) => r1_tarski(k1_convex1(A,B,D),k1_convex1(A,C,D)) ) ) ) ) ) )).
fof(l20_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v2_cqc_the1(k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),A) & v2_cqc_the1(k8_cqc_lang(A,D,E),A) ) => v2_cqc_the1(k8_cqc_lang(A,B,k8_cqc_lang(A,C,E)),A) ) ) ) ) ) ) )).
fof(l20_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => r1_xxreal_0(k3_xcmplx_0(2,k9_complex1(k3_xcmplx_0(A,B))),k2_xcmplx_0(k1_square_1(k9_complex1(A)),k1_square_1(k9_complex1(B)))) ) ) )).
fof(l20_dtconstr,axiom,( r2_tarski(c2__dtconstr,k1_lang1(k5_dtconstr)) )).
fof(l20_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,k2_numbers) => ! [E] : ( m1_subset_1(E,k2_numbers) => ( ( D = k2_euclid_3(k5_algstr_0(k15_euclid(2),A,B)) & E = k2_euclid_3(k5_algstr_0(k15_euclid(2),C,B)) ) => ( k3_complex1(k1_complex2(D,E)) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k17_euclid(A),k17_euclid(B)),k6_xcmplx_0(k17_euclid(C),k17_euclid(B))),k3_xcmplx_0(k6_xcmplx_0(k18_euclid(A),k18_euclid(B)),k6_xcmplx_0(k18_euclid(C),k18_euclid(B)))) & k4_complex1(k1_complex2(D,E)) = k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k17_euclid(A),k17_euclid(B)),k6_xcmplx_0(k18_euclid(C),k18_euclid(B)))),k3_xcmplx_0(k6_xcmplx_0(k18_euclid(A),k18_euclid(B)),k6_xcmplx_0(k17_euclid(C),k17_euclid(B)))) & k9_complex1(D) = k3_square_1(k2_xcmplx_0(k1_square_1(k6_xcmplx_0(k17_euclid(A),k17_euclid(B))),k1_square_1(k6_xcmplx_0(k18_euclid(A),k18_euclid(B))))) & k12_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k9_complex1(D) ) ) ) ) ) ) ) )).
fof(l20_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ( k5_euclid_8(k9_euclid(3,B,A),C) = k9_euclid(3,k5_euclid_8(B,C),A) & k5_euclid_8(k9_euclid(3,B,A),C) = k5_euclid_8(B,k9_euclid(3,C,A)) ) ) ) ) )).
fof(l20_euler_1,axiom,( ! [A] : ( r2_hidden(A,a_0_0_euler_1) <=> A = 1 ) )).
fof(l20_fib_num,axiom,( ~ r1_xxreal_0(3,k3_square_1(5)) )).
fof(l20_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( k3_finseq_1(B) = 1 => k1_finsop_1(A,B,C) = k1_funct_1(B,1) ) ) ) ) )).
fof(l20_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k13_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k1_facirc_1)) = k2_binarith(k2_binarith(k2_binarith(G,H),I),K) & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l20_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r3_analmetr(A,B,D,C,E,F,G) => r3_analmetr(A,B,D,E,C,F,G) ) ) ) ) ) ) ) ) )).
fof(l20_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(B)) => ( ( r5_glib_000(A,B) & C = D ) => k1_glib_002(A,C) = k1_glib_002(B,D) ) ) ) ) ) )).
fof(l20_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(k2_goboard2(C))) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(k2_goboard2(C))) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(C)) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),C,D)) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(C),A,B)) ) ) ) ) ) ) )).
fof(l20_gr_cy_3,axiom,( k11_newton(2,2) = 4 )).
fof(l20_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r1_rewrite1(k3_polyred(A,B,C,F),D,E) => ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) ) ) ) ) ) )).
fof(l20_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r1_rewrite1(k3_polyred(A,B,C,F),D,E) => ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) ) ) ) ) ) )).
fof(l20_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( r2_tarski(B,k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( C != k1_group_1(A) & k6_group_1(A,C) = B ) ) ) ) ) )).
fof(l20_group_18,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_int_1(B,k1_newton(A,C)) & B != 1 & ! [D] : ( v7_ordinal1(D) => B != k1_newton(A,k1_nat_1(D,1)) ) ) ) ) ) )).
fof(l20_group_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ! [F] : ( ( v15_algstr_0(F) & m1_group_2(F,B) ) => ( ( g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) = g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) & C = D & E = F ) => ( k11_group_2(A,E,C) = k11_group_2(B,F,D) & k12_group_2(A,E,C) = k12_group_2(B,F,D) ) ) ) ) ) ) ) ) )).
fof(l20_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( ( D = k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,C),B) & v2_compts_1(B,k3_pcomps_1(A)) ) => v4_xxreal_2(D) ) ) ) ) ) )).
fof(l20_integr11,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l20_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k2_finseq_1(A)) & ! [E] : ( m2_finseq_1(E,k1_numbers) => ~ ( E = k4_finseqop(k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)) & k1_funct_1(B,D) = k18_rvsum_1(E) ) ) ) ) => B = k5_euclid_7(A,C) ) ) ) ) )).
fof(l20_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ~ ( k3_integra1(B) != k5_numbers & r2_hidden(A,k1_rvsum_1(k9_integra1(B,C))) & ! [D] : ( m1_integra1(D,B) => ~ ( r2_tarski(D,k9_xtuple_0(k9_integra1(B,C))) & A = k1_funct_1(k9_integra1(B,C),D) & ~ r1_xxreal_0(k1_funct_1(D,1),k3_seq_4(B)) ) ) ) ) ) ) )).
fof(l20_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,B) ) => ( r2_hidden(C,k3_integra5(A,B)) & r1_tarski(k3_integra5(A,C),k3_integra5(A,B)) & r1_tarski(k3_integra5(C,B),k3_integra5(A,B)) ) ) ) ) ) )).
fof(l20_jgraph_6,axiom,( k18_euclid(k19_euclid(1,k5_numbers)) = k5_numbers )).
fof(l20_jordan,axiom,( u1_struct_0(k2_borsuk_1(k15_euclid(2),k15_euclid(2))) = k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) )).
fof(l20_lattices,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ( ~ v2_struct_0(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & v10_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & v14_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) & l3_lattices(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B)) ) ) ) )).
fof(l20_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( v1_xreal_0(D) => r2_funct_2(k4_ordinal1,k1_numbers,k1_lp_space(k2_rsspace(k1_rlvect_1(B,C,D)),A),k26_valued_1(k4_ordinal1,k1_numbers,k1_lp_space(k2_rsspace(C),A),k2_power(k9_complex1(D),A))) ) ) ) ) ) ) )).
fof(l20_matrprob,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) => r1_xxreal_0(A,k3_matrix_0(k1_numbers,B,C,D)) ) ) ) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(k1_matrprob(k1_numbers,B,C))) ) => r1_xxreal_0(A,k1_funct_1(k1_matrprob(k1_numbers,B,C),D)) ) ) ) ) ) ) )).
fof(l20_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,k2_tops_2(u1_struct_0(A),u1_struct_0(B),C)),k3_struct_0(A)) ) ) ) ) )).
fof(l20_menelaus,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( A != 1 & B != 1 & C != 1 & ~ ( k5_numbers = k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,B),C),k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,A),k6_xcmplx_0(1,B)),k6_xcmplx_0(1,C))) <=> k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(A,k6_xcmplx_0(1,A)),k7_xcmplx_0(B,k6_xcmplx_0(1,B))),k7_xcmplx_0(C,k6_xcmplx_0(1,C))) = 1 ) ) ) ) ) )).
fof(l20_metric_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => ( k3_square_1(k2_xcmplx_0(A,B)) = k5_numbers <=> ( A = k5_numbers & B = k5_numbers ) ) ) ) ) )).
fof(l20_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k15_midsp_1(A))) => ? [C] : ( m1_subset_1(C,u1_struct_0(k15_midsp_1(A))) & k1_midsp_2(k15_midsp_1(A),C) = B ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k15_midsp_1(A))) => ( k1_midsp_2(k15_midsp_1(A),B) = k4_struct_0(k15_midsp_1(A)) => B = k4_struct_0(k15_midsp_1(A)) ) ) ) ) )).
fof(l20_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k6_xcmplx_0(k1_newton(C,A),k1_newton(D,A)) = k3_xcmplx_0(k6_xcmplx_0(C,D),B) => k6_xcmplx_0(k1_newton(C,k2_xcmplx_0(A,1)),k1_newton(D,k2_xcmplx_0(A,1))) = k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C,D),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k2_xcmplx_0(C,D)),k1_newton(C,A)),k1_newton(D,A))),2) ) ) ) ) ) )).
fof(l20_nfcont_1,axiom,( v1_xreal_0(1) )).
fof(l20_numbers,axiom,( k9_arytm_3(k12_arytm_3,k12_arytm_3) = c2__numbers )).
fof(l20_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v6_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l20_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_xxreal_0(B,k5_numbers) => k2_polynom8(A,C,B) = k9_algstr_0(A,k2_polynom8(A,C,k1_int_2(B))) ) ) ) ) )).
fof(l20_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v2_poset_1(C,A,A) & B = k1_yellow_0(A,k2_poset_1(A,C)) ) => r2_abian(u1_struct_0(A),B,C) ) ) ) ) )).
fof(l20_pre_ff,axiom,( k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,k5_numbers) = c1__pre_ff )).
fof(l20_prepower,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l20_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ( v5_rlvect_1(k10_prvect_2(A)) & v6_rlvect_1(k10_prvect_2(A)) & v7_rlvect_1(k10_prvect_2(A)) & v8_rlvect_1(k10_prvect_2(A)) ) ) )).
fof(l20_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => m2_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(3,k5_numbers)),k12_finseq_1(k3_qc_lang1(A),B)),C),k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) ) ) ) )).
fof(l20_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ r2_tarski(k10_funct_4(k5_numbers,1,2,3,A,B,C,D),k1_numbers) ) ) ) ) )).
fof(l20_realset2,axiom,( k4_binop_1(2,k2_realset2,k10_subset_1(k5_numbers,2),k10_subset_1(1,2)) = k10_subset_1(k5_numbers,2) )).
fof(l20_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_classes1(A,B) => r1_xxreal_0(k4_rfinseq2(B),k4_rfinseq2(A)) ) ) ) )).
fof(l20_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_rlsub_1(C,A) => ( u1_struct_0(C) = B => v1_rlsub_1(B,A) ) ) ) ) )).
fof(l20_rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( r1_struct_0(k1_rlsub_1(B),A) <=> A = k4_struct_0(B) ) ) )).
fof(l20_rusub_1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l20_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => ( k5_compos_0(k3_scm_inst,A) = 6 => k4_finseq_1(k2_compos_0(A)) = k2_finseq_1(1) ) ) )).
fof(l20_scmfsa_i,axiom,( ! [A] : ( m1_subset_1(A,k2_scmfsa_i) => ! [B] : ( m1_subset_1(B,k3_scm_inst) => ( A = B => k6_compos_0(k2_scmfsa_i,k5_compos_0(k2_scmfsa_i,A)) = k6_compos_0(k3_scm_inst,k5_compos_0(k3_scm_inst,B)) ) ) ) )).
fof(l20_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( r1_tarski(k4_scmp_gcd,D) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) = 5 & B = k1_funct_1(C,k3_scmp_gcd) & k1_funct_1(C,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(A,k1_nat_1(B,1)) ) => ( r1_xxreal_0(k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)),k5_numbers) | r1_xxreal_0(A,1) | k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,C,7),k1_scmp_gcd(A)) = k1_funct_1(C,k1_scmp_gcd(A)) ) ) ) ) ) ) )).
fof(l20_scmpds_9,axiom,( ~ v1_int_1(k7_xcmplx_0(5,3)) )).
fof(l20_scmring3,axiom,( ! [A] : ! [B] : ( r2_tarski(A,k4_finseq_1(k9_finseq_1(B))) => A = 1 ) )).
fof(l20_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_scmringi(A)) => ( k5_compos_0(k1_scmringi(A),B) = 7 => k4_finseq_1(k2_compos_0(B)) = k2_finseq_1(1) ) ) ) )).
fof(l20_scpisort,axiom,( k4_card_1(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))) = 16 )).
fof(l20_scpqsort,axiom,( k4_card_1(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers)))))) = 11 )).
fof(l20_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k3_xcmplx_0(k2_xcmplx_0(1,k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,C)),B)),k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,B)),C)) = k2_xcmplx_0(k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,B)),C),k7_xcmplx_0(A,k3_square_1(k3_xcmplx_0(B,C)))) ) ) ) )).
fof(l20_sin_cos9,axiom,( k2_funct_1(k2_sin_cos9) = k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos)) )).
fof(l20_sincos10,axiom,( r2_tarski(k7_xcmplx_0(k28_sin_cos,4),k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) & r2_tarski(k7_xcmplx_0(k28_sin_cos,2),k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l20_srings_2,axiom,( m1_subset_1(a_0_0_srings_2,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) )).
fof(l20_topgen_3,axiom,( v1_tops_2(c1__topgen_3,k2_topgen_3) & v1_cantor_1(c1__topgen_3,k2_topgen_3) & m1_subset_1(c1__topgen_3,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topgen_3)))) )).
fof(l20_topreal2,axiom,( r2_tarski(k19_euclid(k5_numbers,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1))) )).
fof(l20_tsep_1,axiom,( ! [A] : ( l1_pre_topc(A) => m1_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),A) ) )).
fof(l20_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( v3_xxreal_2(k1_integra2(A,B)) => ( r1_xxreal_0(B,k5_numbers) | v3_xxreal_2(A) ) ) ) ) )).
fof(l20_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( u1_struct_0(C) = D => v1_vectsp_4(D,A,B) ) ) ) ) ) )).
fof(l20_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k4_vectsp_6(A,B,k2_vectsp_6(A,B)) = k4_struct_0(B) ) ) )).
fof(l20_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => r1_tarski(a_2_7_waybel33(A,B),k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(u1_struct_0(A)))) ) ) )).
fof(l20_xcmplx_0,axiom,( v1_xcmplx_0(1) )).
fof(l20_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k2_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(l20_zf_fund1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k4_zf_fund1(k7_domain_1(k1_zf_lang,A,B)) = k7_domain_1(k4_ordinal1,k3_zf_fund1(A),k3_zf_fund1(B)) ) ) )).
fof(l20_zfmisc_1,axiom,( ! [A] : ! [B] : ( ~ r2_hidden(A,B) => r1_xboole_0(k1_tarski(A),B) ) )).
fof(l20_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( k3_finseq_1(B) = k5_numbers => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(l216_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ~ ( A != k5_numbers & A = k5_xcmplx_0(A) & A != 1 & A != k4_xcmplx_0(1) ) ) )).
fof(l21_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_tarski(k1_aff_1(A,B,C),k1_aff_1(A,C,B)) ) ) ) )).
fof(l21_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_altcat_3(k8_altcat_1(A,B),A,B,B) & v4_altcat_3(k8_altcat_1(A,B),A,B,B) ) ) ) )).
fof(l21_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) & k1_funct_1(k2_extpro_1(k5_card_1(2),k1_ami_3,A,B),k4_struct_0(k1_ami_3)) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_ami_3,B),1) ) & v2_extpro_1(A,k5_card_1(2),k1_ami_3) ) ) )).
fof(l21_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ~ ( k1_rlvect_1(A,B,D) = C & D != k5_numbers & ~ v9_struct_0(B,A) & v9_struct_0(C,A) ) ) ) ) ) )).
fof(l21_arytm_0,axiom,( m1_subset_1(k5_numbers,k1_numbers) )).
fof(l21_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(B,A) => ( r1_arytm_2(k7_arytm_2(C,B),A) <=> r1_arytm_2(C,k1_arytm_1(A,B)) ) ) ) ) ) )).
fof(l21_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k3_arytm_2(k4_arytm_2(A)) = A ) )).
fof(l21_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k6_algstr_0(k5_c0sp2(A),B,C) = k6_algstr_0(k11_c0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l21_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [C] : ( m2_funct_2(C,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [D] : ( v1_xcmplx_0(D) => k1_binop_1(k1_cfuncdom(A),k1_funct_1(k3_cfuncdom(A),k4_tarski(D,B)),k1_funct_1(k3_cfuncdom(A),k4_tarski(D,C))) = k1_funct_1(k3_cfuncdom(A),k4_tarski(D,k1_funcsdom(A,k2_numbers,k1_cfuncdom(A),B,C))) ) ) ) ) )).
fof(l21_complex1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k3_arytm_0(A) = k1_real_1(A) ) )).
fof(l21_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => k62_valued_1(k4_compos_1(A)) = k5_numbers ) )).
fof(l21_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( l2_conlat_1(B,A) => ~ ( k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),u2_conlat_1(A,B)) = u3_conlat_1(A,B) & v4_conlat_1(B,A) ) ) ) )).
fof(l21_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( v1_xreal_0(C) => k1_convex1(A,B,C) = k1_xboole_0 ) ) ) )).
fof(l21_convfun1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( A = C & B = D ) => k2_xcmplx_0(k3_xcmplx_0(E,C),k3_xcmplx_0(F,D)) = k1_xxreal_3(k4_xxreal_3(E,A),k4_xxreal_3(F,B)) ) ) ) ) ) ) ) )).
fof(l21_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(k1_cqc_the1(A,k1_cqc_the1(A,B)),k1_cqc_the1(A,B)) ) ) )).
fof(l21_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( r1_xxreal_0(k3_xcmplx_0(k9_complex1(k2_xcmplx_0(A,B)),k9_complex1(k2_xcmplx_0(A,B))),k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k9_complex1(A)),k9_complex1(A)),k3_xcmplx_0(k3_xcmplx_0(2,k9_complex1(B)),k9_complex1(B)))) & r1_xxreal_0(k3_xcmplx_0(k9_complex1(A),k9_complex1(A)),k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k9_complex1(k6_xcmplx_0(A,B))),k9_complex1(k6_xcmplx_0(A,B))),k3_xcmplx_0(k3_xcmplx_0(2,k9_complex1(B)),k9_complex1(B)))) ) ) ) )).
fof(l21_dtconstr,axiom,( r1_tarski(k1_lang1(k5_dtconstr),k6_domain_1(u1_struct_0(k5_dtconstr),c2__dtconstr)) )).
fof(l21_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k9_xtuple_0(B) = k1_endalg(A) & ! [C] : ( r2_hidden(C,k1_endalg(A)) => k1_funct_1(B,C) = k17_funcop_1(k5_numbers,C) ) ) => k10_xtuple_0(B) = k4_endalg(k6_msualg_1(A),k9_msualg_1(A)) ) ) ) )).
fof(l21_euler_1,axiom,( k4_card_1(k1_tarski(1)) = k1_euler_1(1) )).
fof(l21_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r4_fdiff_3(A,B) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,k1_relset_1(k1_numbers,A)) & r2_hidden(D,k1_rcomp_1(k6_xcmplx_0(B,C),B)) & k1_funct_1(A,D) = k5_numbers ) ) ) ) | ( r4_fdiff_3(k6_rfunct_1(k1_numbers,k1_numbers,A),B) & k1_fdiff_3(B,k6_rfunct_1(k1_numbers,k1_numbers,A)) = k4_xcmplx_0(k7_xcmplx_0(k1_fdiff_3(B,A),k1_square_1(k1_funct_1(A,B)))) ) ) ) ) ) )).
fof(l21_fib_num,axiom,( ~ r1_xxreal_0(k1_fib_num,1) )).
fof(l21_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v2_binop_1(E,A) & v1_binop_1(E,A) & r1_xxreal_0(1,k3_finseq_1(B)) & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(D,F) = k1_binop_1(E,k1_funct_1(B,F),k1_funct_1(C,F)) ) ) ) => k1_finsop_1(A,D,E) = k4_binop_1(A,E,k1_finsop_1(A,B,E),k1_finsop_1(A,C,E)) ) ) ) ) ) ) )).
fof(l21_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ( ( v2_fomodel0(B,C,D) & r1_tarski(A,B) ) => v2_fomodel0(A,C,D) ) ) ) )).
fof(l21_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ! [E] : ( m1_bvfunc_1(E,A,k8_eqrel_1(A,B)) => ( ( r2_tarski(C,E) & r2_tarski(D,E) ) => r2_hidden(k4_tarski(C,D),B) ) ) ) ) )).
fof(l21_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k3_facirc_1)) & H = k1_funct_1(F,k4_tarski(k10_finseq_1(E,D),k3_facirc_1)) & I = k1_funct_1(F,k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1)) ) => k1_funct_1(k6_circuit2(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F),k9_gfacirc1(k12_gfacirc1(A,B,C),E,D)) = k1_binarith(k1_binarith(G,H),I) ) ) ) ) ) ) ) ) ) )).
fof(l21_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,C) ) => r1_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,k1_fuzzy_1(k2_zfmisc_1(B,C),E,F),G,H))),k3_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,G,H))),k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,F,G,H))))) ) ) ) ) ) ) ) )).
fof(l21_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r3_analmetr(A,B,D,C,E,F,G) => r3_analmetr(A,C,E,B,D,F,G) ) ) ) ) ) ) ) ) )).
fof(l21_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_glib_002(B) & m1_glib_000(B,A) ) => ( v9_glib_000(B,A) => v1_glib_002(A) ) ) ) )).
fof(l21_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(k2_goboard2(C))) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(k2_goboard2(C))) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(C)) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),C,D)) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(C),A,B)) ) ) ) ) ) ) )).
fof(l21_gr_cy_3,axiom,( k11_newton(2,3) = 8 )).
fof(l21_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ~ ( r1_rewrite1(k3_polyred(A,B,C,F),D,E) & E != D & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r5_polyred(A,B,C,D,G,F) & r1_rewrite1(k3_polyred(A,B,C,F),G,E) ) ) ) ) ) ) ) ) ) )).
fof(l21_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( v1_finset_1(C) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(B,C))) => ! [E] : ( m2_subset_1(E,k5_finsub_1(k4_partfun1(B,C)),k1_substlat(B,C)) => ~ ( r2_tarski(A,k4_substlat(B,C,D,k3_heyting2(B,C,D,E))) & ! [F] : ~ ( r2_tarski(F,E) & r1_tarski(F,A) ) ) ) ) ) )).
fof(l21_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( B != k5_numbers & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ~ ( r8_pboole(k8_newton,C,k14_funct_7(k8_newton,k4_ordinal1,k8_funcop_1(k4_ordinal1,k8_newton,k5_numbers),A,B)) & k22_pre_poly(k8_newton,C) = k1_tarski(A) & k8_nat_3(k8_newton,C) = B ) ) ) ) ) )).
fof(l21_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => r1_xxreal_0(k12_euclid(k7_partfun1(k1_euclid(A),C,E)),k7_partfun1(k1_numbers,D,E)) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k2_finseq_1(A)) & ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( F = k4_finseqop(k1_euclid(A),k1_numbers,C,k1_pdiff_1(E,A)) & k1_funct_1(B,E) = k18_rvsum_1(F) ) ) ) ) ) => r1_xxreal_0(k12_euclid(B),k18_rvsum_1(D)) ) ) ) ) ) )).
fof(l21_jgraph_6,axiom,( k17_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(1))) = k5_numbers )).
fof(l21_jordan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => v1_pscomp_1(k8_funcop_1(k1_numbers,u1_struct_0(A),B),A) ) ) )).
fof(l21_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(C,A)),k1_nat_1(B,1)) & r1_xxreal_0(k3_finseq_1(k1_jordan8(C,k1_nat_1(A,1))),k7_nat_d(k3_xcmplx_0(2,B),1)) ) ) ) ) )).
fof(l21_jordan20,axiom,( k2_struct_0(k5_topmetr) != k1_xboole_0 )).
fof(l21_jordan7,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(A,k6_xcmplx_0(k6_xcmplx_0(A,1),1)) ) )).
fof(l21_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ~ ( v1_abian(A) & ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => A != k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) ) ) ) ) ) ) )).
fof(l21_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) => ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) )).
fof(l21_limfunc1,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l21_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( v1_xreal_0(D) => k4_series_1(k1_lp_space(k2_rsspace(k1_rlvect_1(B,C,D)),A)) = k3_xcmplx_0(k2_power(k9_complex1(D),A),k4_series_1(k1_lp_space(k2_rsspace(C),A))) ) ) ) ) ) ) )).
fof(l21_matrprob,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) => r1_xxreal_0(A,k3_matrix_0(k1_numbers,B,C,D)) ) ) ) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(k7_matrix_0(k1_numbers,B,C))) ) => r1_xxreal_0(A,k1_funct_1(k7_matrix_0(k1_numbers,B,C),D)) ) ) ) ) ) ) )).
fof(l21_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v3_valued_0(B) ) => m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) ) )).
fof(l21_menelaus,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( k5_numbers = k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,B),C),k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,A),k6_xcmplx_0(1,B)),k6_xcmplx_0(1,C))) & k2_xcmplx_0(k6_xcmplx_0(1,B),k3_xcmplx_0(B,A)) = k5_numbers ) => ( B = 1 | k2_xcmplx_0(k6_xcmplx_0(1,A),k3_xcmplx_0(A,C)) = k5_numbers ) ) ) ) ) )).
fof(l21_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k6_xcmplx_0(k1_newton(C,k2_xcmplx_0(A,1)),k1_newton(D,k2_xcmplx_0(A,1))) = k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(C,D),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k2_xcmplx_0(C,D)),k1_newton(C,A)),k1_newton(D,A))),2) => ( k2_xcmplx_0(C,D) = k5_ordinal1 | k6_xcmplx_0(k1_newton(C,A),k1_newton(D,A)) = k3_xcmplx_0(k6_xcmplx_0(C,D),B) ) ) ) ) ) ) )).
fof(l21_numbers,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => k9_arytm_3(A,A) = k10_arytm_3(c2__numbers,A) ) )).
fof(l21_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v7_o_ring_1(B,A) ) ) ) )).
fof(l21_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_geomtrap(A,B,C,B,D) & B != C & B != D & ! [E] : ( v1_xreal_0(E) => ~ ( k5_algstr_0(A,C,B) = k1_rlvect_1(A,k5_algstr_0(A,D,B),E) & E != k5_numbers ) ) ) ) ) ) ) )).
fof(l21_pdiff_9,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l21_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( k22_pre_poly(A,D) = k2_xboole_0(k22_pre_poly(A,C),k1_tarski(E)) & ! [F] : ( F != E => k1_funct_1(D,F) = k1_funct_1(C,F) ) ) => ( r2_hidden(E,k22_pre_poly(A,C)) | ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G = k1_binop_1(k4_group_1(B),k1_funct_1(F,E),k1_funct_1(D,E)) => k1_polynom2(A,D,B,F) = k8_group_1(B,G,k1_polynom2(A,C,B,F)) ) ) ) ) ) ) ) ) ) )).
fof(l21_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k1_yellow_0(A,k2_poset_1(A,C)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_abian(u1_struct_0(A),D,C) => r3_orders_2(A,B,D) ) ) ) ) ) ) )).
fof(l21_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( k1_nat_1(A,2) = k3_xcmplx_0(2,B) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,k1_nat_1(A,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),B))) ) ) & ! [B] : ( v7_ordinal1(B) => ( k1_nat_1(A,2) = k1_nat_1(k3_xcmplx_0(2,B),1) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,k1_nat_1(A,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),B),k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),k1_nat_1(B,1))))) ) ) ) ) )).
fof(l21_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k4_ordinal1,k1_real_3(C,B),A) = k5_numbers => k8_nat_1(k4_ordinal1,k2_real_3(C,B),k1_nat_1(A,1)) = k5_numbers ) ) ) ) )).
fof(l21_realset2,axiom,( k4_binop_1(2,k2_realset2,k10_subset_1(1,2),k10_subset_1(k5_numbers,2)) = k10_subset_1(k5_numbers,2) )).
fof(l21_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => r1_tarski(u1_struct_0(k2_rlsub_2(A,B,C)),u1_struct_0(B)) ) ) ) )).
fof(l21_rlvect_2,axiom,( m1_subset_1(k5_numbers,k1_numbers) )).
fof(l21_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => r1_tarski(u1_struct_0(k2_rusub_2(A,B,C)),u1_struct_0(B)) ) ) ) )).
fof(l21_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_xxreal_0(B,k1_rusub_4(A)) & ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => k1_rusub_4(C) != B ) ) ) ) )).
fof(l21_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(k3_scm_inst)) => ~ ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,8) & A = B ) ) ) )).
fof(l21_scmfsa_1,axiom,( ! [A] : ( m2_subset_1(A,k1_scmfsa_1,k3_scmfsa_1) => k3_funct_2(k1_scmfsa_1,k5_card_1(3),k4_scmfsa_1,A) = 2 ) )).
fof(l21_scmpds_9,axiom,( ! [A] : ( v1_xreal_0(A) => k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k9_complex1(A),k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),k9_complex1(A)),4)),2),2),A) != k4_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k9_complex1(A),k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),k9_complex1(A)),4)),k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),k9_complex1(A)),4)),2),2),A)) ) )).
fof(l21_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_scmring2(A)))) => ~ ( B != k5_numbers & B != 1 & B != 2 & B != 3 & B != 4 & B != 5 & B != 6 & B != 7 ) ) ) )).
fof(l21_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(B,k1_scmp_gcd(6))),k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(6)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) ) ) ) ) ) )).
fof(l21_scpqsort,axiom,( k4_card_1(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))) = 9 )).
fof(l21_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k3_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_square_1(k3_xcmplx_0(B,C)),A),k7_xcmplx_0(C,k3_square_1(k3_xcmplx_0(B,A)))),k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,B)),C)) = k2_xcmplx_0(k7_xcmplx_0(B,k3_square_1(k3_xcmplx_0(A,C))),1) ) ) ) )).
fof(l21_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( r2_tarski(A,B) => r1_tarski(k1_sf_mastr(A),k2_sf_mastr(B)) ) ) )).
fof(l21_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(k6_xcmplx_0(1,k1_square_1(A)),k5_numbers) ) ) )).
fof(l21_sincos10,axiom,( r1_tarski(k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l21_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l21_srings_2,axiom,( a_0_3_srings_2 = c2__srings_2 )).
fof(l21_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ( v1_finset_1(E) => ~ ( r2_tarski(E,k4_substlat(A,B,C,D)) & ! [F] : ( v1_finset_1(F) => ~ ( r1_tarski(F,E) & r2_tarski(F,k4_substlat(A,B,k3_substlat(A,B,C),D)) ) ) ) ) ) ) )).
fof(l21_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => v6_tbsp_1(k8_metric_1(A,B,C),A) ) ) ) ) )).
fof(l21_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ( ~ v2_tops_1(k2_topreal9(A,B,C),k15_euclid(A)) & v2_compts_1(k2_topreal9(A,B,C),k15_euclid(A)) ) ) ) ) ) )).
fof(l21_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_6(I,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) => ( r3_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) => ( v5_pre_topc(k3_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),k2_borsuk_1(k5_topmetr,k5_topmetr),A) & ! [J] : ( m1_subset_1(J,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k3_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),J,k5_numbers) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(A),k3_topalg_4(A,B,k5_topmetr,G),J) & k1_binop_1(k3_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),J,1) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(A),k3_topalg_4(A,B,k5_topmetr,H),J) & ! [K] : ( m1_subset_1(K,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k3_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),k5_numbers,K) = C & k1_binop_1(k3_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),1,K) = D ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l21_topreal2,axiom,( r2_tarski(k19_euclid(k5_numbers,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers))) )).
fof(l21_uniform1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(A),B) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k1_nat_1(B,1)),k7_partfun1(k1_numbers,A,B)) ) ) => v5_valued_0(A) ) ) )).
fof(l21_waybel18,axiom,( v6_pre_topc(k9_waybel18) )).
fof(l21_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v1_waybel25(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => v1_waybel25(B) ) ) ) ) )).
fof(l21_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r2_tarski(D,k1_binop_1(u1_altcat_1(k5_waybel34(A)),B,C)) <=> ( r2_tarski(B,u1_struct_0(k5_waybel34(A))) & r2_tarski(C,u1_struct_0(k5_waybel34(A))) & v3_lattice3(B) & v3_lattice3(C) & v18_waybel_0(D,B,C) ) ) ) ) ) ) )).
fof(l21_wellord2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( v2_wellord1(B) & r2_wellord2(A,k1_relat_1(B)) & ! [C] : ( v1_relat_1(C) => ~ r2_wellord1(C,A) ) ) ) )).
fof(l21_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( A != k5_numbers => ( r1_nat_d(A,B) <=> m1_subset_1(k7_xcmplx_0(B,A),k4_ordinal1) ) ) ) ) )).
fof(l21_xcmplx_0,axiom,( r1_tarski(k1_numbers,k2_numbers) )).
fof(l21_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(A,B)) ) ) ) )).
fof(l21_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => ( v4_yellow_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),u1_waybel_0(A,B)),B) & m1_yellow_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),u1_waybel_0(A,B)),B) ) ) ) )).
fof(l21_zf_fund1,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zf_lang)) ) => r3_tarski(A,k4_zf_fund1(A)) ) )).
fof(l22_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_algstr_0)) => k6_algstr_0(k8_algstr_0,A,k5_struct_0(k8_algstr_0)) = A ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k8_algstr_0)) => k6_algstr_0(k8_algstr_0,k5_struct_0(k8_algstr_0),A) = A ) )).
fof(l22_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ( A = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) => v2_extpro_1(A,k5_card_1(2),k1_ami_3) ) ) )).
fof(l22_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( C = k3_rlvect_1(A,k1_rlvect_1(A,F,J),k1_rlvect_1(A,G,K)) & F = k3_rlvect_1(A,B,k1_rlvect_1(A,D,H)) & G = k3_rlvect_1(A,B,k1_rlvect_1(A,E,I)) ) => C = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k2_xcmplx_0(J,K)),k1_rlvect_1(A,D,k3_xcmplx_0(J,H))),k1_rlvect_1(A,E,k3_xcmplx_0(K,I))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l22_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => k1_arytm_1(k1_arytm_1(C,B),A) = k1_arytm_1(C,k7_arytm_2(A,B)) ) ) ) )).
fof(l22_arytm_2,axiom,( ! [A] : ! [B] : ~ ( r2_tarski(A,a_0_0_arytm_2) & r2_tarski(B,a_0_0_arytm_2) & ~ r1_tarski(A,B) & ~ r1_tarski(B,A) ) )).
fof(l22_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(C,B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,C)) ) ) => r1_xxreal_0(k5_numbers,k6_series_1(A,B)) ) ) ) )).
fof(l22_c0sp2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l22_cardfin2,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(2,k6_xcmplx_0(k11_newton(365,23),k7_xcmplx_0(k2_newton(365),k2_newton(k7_nat_d(365,23))))),k11_newton(365,23)) )).
fof(l22_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(2))) => ( B = k10_finseq_1(A,k5_numbers) => k2_normsp_0(k4_real_ns1(2),B) = k9_complex1(A) ) ) ) )).
fof(l22_complex1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( A = C & B = D ) => k2_arytm_0(A,B) = k3_xcmplx_0(C,D) ) ) ) ) ) )).
fof(l22_compos_0,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0)))) => k6_compos_0(k2_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_xtuple_0(1,k1_xboole_0,k1_xboole_0)),A) = k6_domain_1(k4_ordinal1,k5_numbers) ) )).
fof(l22_compos_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,B) => ! [C] : ! [D] : ( ~ r2_tarski(C,k10_xtuple_0(A)) => r1_tarski(A,k6_subset_1(B,k17_funcop_1(D,C))) ) ) ) ) )).
fof(l22_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A,B,C) = k1_xboole_0 ) ) ) )).
fof(l22_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),A)),k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),A))) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_comseq_2(B),A)),k9_complex1(k6_xcmplx_0(k3_comseq_2(B),A))) ) ) ) ) ) ) )).
fof(l22_dtconstr,axiom,( k2_lang1(k5_dtconstr) = a_0_11_dtconstr )).
fof(l22_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_enumset1(A,B,C),k1_enumset1(D,E,F)) )).
fof(l22_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v8_conmetr(A) <=> v11_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(l22_facirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,k1_nat_1(A,1)) & v1_finseq_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & ? [D] : B = k7_finseq_1(C,k9_finseq_1(D)) ) ) ) )).
fof(l22_fib_num,axiom,( ~ r1_xxreal_0(k1_fib_num,k5_numbers) )).
fof(l22_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_setwiseo(E,A) & k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) ) => k1_finsop_1(A,B,E) = k4_binop_1(A,E,k1_finsop_1(A,C,E),k1_finsop_1(A,D,E)) ) ) ) ) ) ) )).
fof(l22_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => v2_fomodel0(k1_xboole_0,A,B) ) ) )).
fof(l22_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_bvfunc_1(C,A,k8_eqrel_1(A,B)) => ! [D] : ( m1_bvfunc_1(D,A,k8_eqrel_1(A,B)) => ! [E] : ! [F] : ( ( r2_tarski(E,C) & r2_tarski(F,D) & r2_hidden(k4_tarski(E,F),B) ) => C = D ) ) ) ) ) )).
fof(l22_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k11_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k6_fscirc_1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),F),k9_margrel1(F,G)),k9_margrel1(k8_margrel1(E),G)) & k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) & k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),G) ) ) ) ) ) ) ) ) ) )).
fof(l22_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k1_facirc_1)) & H = k1_funct_1(F,D) ) => k1_funct_1(k6_circuit2(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F),k12_gfacirc1(k12_gfacirc1(A,B,C),E,D)) = k2_binarith(G,H) ) ) ) ) ) ) ) ) )).
fof(l22_funcsdom,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( m2_funct_2(C,B,k1_numbers,k9_funct_2(B,k1_numbers)) => ! [D] : ( m2_funct_2(D,B,k1_numbers,k9_funct_2(B,k1_numbers)) => k1_binop_1(k5_funcsdom(B),k1_binop_1(k7_funcsdom(B),A,C),k1_binop_1(k7_funcsdom(B),A,D)) = k1_binop_1(k7_funcsdom(B),A,k1_funcsdom(B,k1_numbers,k5_funcsdom(B),C,D)) ) ) ) )).
fof(l22_fvaluat1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v1_realset2(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k3_fvaluat1(B,C,k2_xcmplx_0(A,1)) = k8_group_1(B,k3_fvaluat1(B,C,A),C) ) ) ) )).
fof(l22_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_analmetr(A,E,F) => r3_analmetr(A,B,D,C,C,E,F) ) ) ) ) ) ) ) )).
fof(l22_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_glib_002(A) <=> k3_glib_002(A) = k1_tarski(k6_glib_000(A)) ) ) )).
fof(l22_gr_cy_3,axiom,( k11_newton(2,4) = 16 )).
fof(l22_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r3_graph_4(A,k12_finseq_1(u1_struct_0(A),B),k1_xboole_0) ) ) )).
fof(l22_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k7_group_1(A) = k1_newton(B,C) & k6_group_1(A,D) = k2_seq_4(k1_group_18(A)) & ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,A) & m1_group_2(E,A) ) => ~ ( k3_xboole_0(u1_struct_0(E),u1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),D)))) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r1_struct_0(E,G) & r1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),D)),H) & F = k8_group_1(A,G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l22_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => r1_xxreal_0(k1_nat_1(k2_nat_1(2,A),1),k1_nat_1(k2_nat_1(2,k1_nat_1(A,1)),1)) ) )).
fof(l22_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( B != k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_xxreal_0(k3_xcmplx_0(C,B),A) & ~ r1_xxreal_0(k3_xcmplx_0(k2_xcmplx_0(C,1),B),A) ) ) ) ) ) )).
fof(l22_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( v1_int_7(A) & r2_tarski(B,k22_pre_poly(k8_newton,A)) & k1_recdef_1(A,B) = B & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k8_newton) & v1_funct_1(D) & v1_partfun1(D,k8_newton) & v4_valued_0(D) & v2_pre_poly(D) ) => ~ ( v1_int_7(C) & k22_pre_poly(k8_newton,D) = k1_tarski(B) & k8_nat_3(k8_newton,D) = B & k22_pre_poly(k8_newton,C) = k7_subset_1(k8_newton,k22_pre_poly(k8_newton,A),k1_tarski(B)) & k5_relat_1(C,k22_pre_poly(k8_newton,C)) = k5_relat_1(A,k22_pre_poly(k8_newton,C)) & k8_nat_3(k8_newton,A) = k3_xcmplx_0(k8_nat_3(k8_newton,C),B) ) ) ) ) ) ) )).
fof(l22_integr11,axiom,( m1_subset_1(k3_xcmplx_0(2,k28_sin_cos),k1_numbers) & m1_subset_1(k2_xcmplx_0(k3_xcmplx_0(2,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers),k1_numbers) )).
fof(l22_integr19,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( v1_integr15(C,B,A) & v2_integr15(C,B,A) & r2_relset_1(A,k1_numbers,D,k1_nfcont_4(B,A,C)) & v3_integra1(D,A) ) => r1_xxreal_0(k12_euclid(k10_integr15(B,A,C)),k12_integra1(A,D)) ) ) ) ) ) )).
fof(l22_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ( k3_finseq_1(B) = 1 => ( k3_integra1(A) = k5_numbers | ( ~ v1_xboole_0(k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B)) & v5_valued_0(k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B)) & m2_finseq_1(k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B),k1_numbers) ) ) ) ) ) )).
fof(l22_jgraph_6,axiom,( k18_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(1))) = k4_xcmplx_0(1) )).
fof(l22_jordan12,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k3_finseq_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(C,k1_goboard5(A,B)) & r2_tarski(D,k1_goboard5(A,B)) & r1_xxreal_0(k17_euclid(C),k17_euclid(D)) ) => r1_tarski(k1_rltopsp1(k15_euclid(2),C,D),k1_goboard5(A,B)) ) ) ) ) ) ) )).
fof(l22_jordan1b,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(A,B) & r1_xxreal_0(B,k1_nat_1(A,1)) & A != B & A != k7_nat_d(B,1) ) ) ) )).
fof(l22_jordan7,axiom,( r2_tarski(k5_numbers,k1_rcomp_1(k5_numbers,1)) )).
fof(l22_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( v1_xreal_0(D) => k2_power(k4_series_1(k1_lp_space(k2_rsspace(k1_rlvect_1(B,C,D)),A)),k7_xcmplx_0(1,A)) = k3_xcmplx_0(k9_complex1(D),k2_power(k4_series_1(k1_lp_space(k2_rsspace(C),A)),k7_xcmplx_0(1,A))) ) ) ) ) ) ) )).
fof(l22_lpspacc1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_rfunct_3(C,B,k2_numbers,k3_rfunct_3(B,k2_numbers)) => ! [D] : ( m2_rfunct_3(D,B,k2_numbers,k3_rfunct_3(B,k2_numbers)) => k1_binop_1(k9_lpspacc1(B),k1_binop_1(k8_lpspacc1(B),A,C),k1_binop_1(k8_lpspacc1(B),A,D)) = k1_binop_1(k8_lpspacc1(B),A,k2_lpspace1(B,k2_numbers,k9_lpspacc1(B),C,D)) ) ) ) ) )).
fof(l22_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,C,k8_cqc_lang(A,E,B)),D),k8_cqc_lang(A,k8_cqc_lang(A,E,k8_cqc_lang(A,C,B)),D)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l22_matrixc1,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => k10_seq_4(B,A) = k4_finseqop(k2_numbers,k2_numbers,B,k10_funcop_1(k2_numbers,k2_numbers,k5_binop_2,A,k6_partfun1(k2_numbers))) ) ) )).
fof(l22_matrprob,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) => r1_xxreal_0(A,k3_matrix_0(k1_numbers,B,C,D)) ) ) ) <=> ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k2_finseq_1(k1_matrix_0(B))) & r2_tarski(C,k4_finseq_1(k8_matrix_0(k1_numbers,B,D))) ) => r1_xxreal_0(A,k1_funct_1(k8_matrix_0(k1_numbers,B,D),C)) ) ) ) ) ) ) )).
fof(l22_mcart_1,axiom,( ! [A] : ! [B] : ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ? [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => C != k4_tarski(D,E) ) ) ) ) )).
fof(l22_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v6_supinf_2(k1_mesfunc2(A,D)) & v6_supinf_2(k2_mesfunc2(A,D)) ) ) ) ) ) )).
fof(l22_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v3_modelc_2(A) => k1_funct_1(A,1) = k5_numbers ) ) )).
fof(l22_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => v1_monoid_0(k9_monoid_1(B,A)) ) )).
fof(l22_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(u1_unialg_1(A))) => m1_subset_1(B,u4_struct_0(k6_msualg_1(A))) ) ) ) )).
fof(l22_ndiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => r1_xxreal_0(A,B) ) ) => r1_xxreal_0(A,k5_numbers) ) ) )).
fof(l22_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => ( ( B = k5_int_1(A,C) & k3_mcart_1(k4_numbers,k4_numbers,k4_numbers,k2_ntalgo_1(C,B)) = 1 ) => ( C = k5_numbers | k5_int_1(k3_xcmplx_0(k3_ntalgo_1(A,C),A),C) = k5_int_1(1,C) ) ) ) ) ) )).
fof(l22_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v2_o_ring_1(B,A) => v6_o_ring_1(B,A) ) ) ) )).
fof(l22_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( r1_tarski(k10_xtuple_0(A),C) => k3_relat_1(A,k5_relat_1(B,C)) = k3_relat_1(A,B) ) ) ) )).
fof(l22_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_algstr_0(A,k5_algstr_0(A,B,D),k5_algstr_0(A,C,D)) = k5_algstr_0(A,B,C) ) ) ) ) )).
fof(l22_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( r2_pboole(A,B,C) & r2_pboole(A,C,B) ) => B = C ) ) ) )).
fof(l22_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ? [D] : k22_pre_poly(A,C) = k1_tarski(D) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k1_polynom2(A,k11_pre_poly(A,C,D),B,E) = k8_group_1(B,k1_polynom2(A,C,B,E),k1_polynom2(A,D,B,E)) ) ) ) ) ) ) )).
fof(l22_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & l2_struct_0(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(D)))) ) => k4_polynom1(A,D,k1_polyred(A,B,D,E),k11_pre_poly(A,C,B)) = k4_polynom1(A,D,E,C) ) ) ) ) ) )).
fof(l22_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( k1_nat_1(A,2) = k3_xcmplx_0(2,B) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,k1_nat_1(A,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),B))) ) ) & ! [B] : ( v7_ordinal1(B) => ( k1_nat_1(A,2) = k1_nat_1(k3_xcmplx_0(2,B),1) => k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,k1_nat_1(A,1)) = k8_finseq_1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),B),k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),c2__pre_ff,A),k1_nat_1(B,1))))) ) ) ) ) )).
fof(l22_realset2,axiom,( k4_binop_1(2,k2_realset2,k10_subset_1(1,2),k10_subset_1(1,2)) = k10_subset_1(1,2) )).
fof(l22_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_ring_1(A,B))) => ( C = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k1_group_1(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_ring_1(A,B))) => ( k6_algstr_0(k2_ring_1(A,B),D,C) = D & k6_algstr_0(k2_ring_1(A,B),C,D) = D ) ) ) ) ) ) )).
fof(l22_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k3_convex1(A,k1_struct_0(A)) = k1_xboole_0 ) )).
fof(l22_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(k3_scm_inst)) => ( A = k5_numbers => k6_compos_0(k3_scm_inst,A) = k1_tarski(k1_xboole_0) ) ) )).
fof(l22_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(k2_scmfsa6a(B,C),A) & r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)),D) ) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1))) = k4_card_1(B) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))) & r1_tarski(k6_compos_1(k1_scmfsa_2,C,k4_card_1(B)),A) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1)),k4_scmfsa_2(k5_numbers)) = 1 & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D) & k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D) = k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,B),C),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))))) & ( v1_scmfsa6b(C) => k1_funct_1(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) )).
fof(l22_scmpds_5,axiom,( v2_scmpds_4(k9_compos_1(k1_scmpds_2,k5_scmpds_2(k2_scmpds_2(k5_numbers,k5_numbers),k5_numbers))) )).
fof(l22_scmpds_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_xcmplx_0(A,1) != k2_xcmplx_0(A,k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k9_complex1(B)),4),B)) ) ) )).
fof(l22_scpinvar,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k3_scpinvar(A,B,C) = k2_scmpds_4(k7_scmpds_2(A,B,2),k3_scmpds_4(k2_scmpds_4(k3_scmpds_2(k1_nat_1(k4_card_1(C),2)),C),k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C),2))))) ) ) ) )).
fof(l22_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(B,k1_scmp_gcd(6))),k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(6)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(3)) = k1_funct_1(B,k1_scmp_gcd(3)) & ~ r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(6)),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(6))) & r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(6))),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(4))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(7,C) => ( C = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),1) | C = k1_funct_1(B,k1_scmp_gcd(4)) | k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(C)) = k1_funct_1(B,k1_scmp_gcd(C)) ) ) ) & ( ~ r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k4_xcmplx_0(1))),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k5_numbers))) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k4_xcmplx_0(1))) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k5_numbers)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k5_numbers)) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k4_xcmplx_0(1))) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(6)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(6)),1) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(4)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),1) ) ) & ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k4_xcmplx_0(1))),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k5_numbers))) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k4_xcmplx_0(1))) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k4_xcmplx_0(1))) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k5_numbers)) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k1_scmp_gcd(4)),k5_numbers)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A),k1_scmp_gcd(6)) = k5_numbers ) ) ) ) ) ) ) )).
fof(l22_scpqsort,axiom,( k4_card_1(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))) = 11 )).
fof(l22_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(1,k7_xcmplx_0(k3_square_1(k3_xcmplx_0(B,C)),A)),k2_xcmplx_0(1,k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,C)),B))),k2_xcmplx_0(1,k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,B)),C))) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(2,k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,C)),B)),k7_xcmplx_0(B,k3_square_1(k3_xcmplx_0(A,C)))),k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,B)),C)),k7_xcmplx_0(C,k3_square_1(k3_xcmplx_0(B,A)))),k7_xcmplx_0(A,k3_square_1(k3_xcmplx_0(B,C)))),k7_xcmplx_0(k3_square_1(k3_xcmplx_0(B,C)),A)) ) ) ) )).
fof(l22_sf_mastr,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k2_sf_mastr(A),k2_sf_mastr(B)) ) )).
fof(l22_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k3_sin_cos2,k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) ) ) )).
fof(l22_sincos10,axiom,( r1_tarski(k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k1_relset_1(k1_numbers,k1_fdiff_9)) )).
fof(l22_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l22_srings_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( A = k2_xboole_0(k1_tarski(k1_xboole_0),a_0_2_srings_2) => ( v2_finsub_1(A) & v2_srings_1(A,k1_numbers) & ~ v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) ) ) ) )).
fof(l22_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_6(I,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) => ( r3_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) => ( v5_pre_topc(k4_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),k2_borsuk_1(k5_topmetr,k5_topmetr),B) & ! [J] : ( m1_subset_1(J,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k4_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),J,k5_numbers) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(B),k4_topalg_4(A,B,k5_topmetr,G),J) & k1_binop_1(k4_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),J,1) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(B),k4_topalg_4(A,B,k5_topmetr,H),J) & ! [K] : ( m1_subset_1(K,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k4_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),k5_numbers,K) = E & k1_binop_1(k4_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),1,K) = F ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l22_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( v1_int_1(D) => ( ( v2_topdim_1(B,A) & v2_topdim_1(C,A) & r1_xxreal_0(k3_topdim_1(A,B),D) & r1_xxreal_0(k3_topdim_1(A,C),D) ) => ( v2_topdim_1(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) & r1_xxreal_0(k3_topdim_1(A,k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)),D) ) ) ) ) ) ) )).
fof(l22_topgen_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & ~ v1_topgen_2(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & r1_tarski(C,B) & k1_card_1(C) = k2_waybel23(A) ) ) ) )).
fof(l22_topgen_6,axiom,( ~ v1_metrizts(k1_topgen_6) )).
fof(l22_topreal2,axiom,( r2_tarski(k19_euclid(k5_numbers,1),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1))) )).
fof(l22_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => v7_metric_1(k1_topreal7(A,B)) ) ) )).
fof(l22_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v3_valued_0(B) ) => m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) ) ) )).
fof(l22_uniform1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(A),B) & r1_xxreal_0(k7_partfun1(k1_numbers,A,B),k7_partfun1(k1_numbers,A,k1_nat_1(B,1))) ) ) => v2_uniform1(A) ) ) )).
fof(l22_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_waybel_9(A) ) => v3_waybel11(k2_struct_0(A),A) ) )).
fof(l22_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v4_waybel11(C) & v3_waybel_3(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_waybel_9(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,k3_waybel24(A,C)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))))) & v1_waybel27(E) & v2_funct_1(E) & v2_funct_2(E,u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))) & v2_waybel27(F) & v2_funct_1(F) & v2_funct_2(F,u1_struct_0(k3_waybel24(B,D))) ) ) ) ) ) <=> ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v4_waybel11(C) & v3_waybel_3(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_waybel_9(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,k3_waybel24(A,C)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))))) & v1_waybel27(E) & v23_waybel_0(E,k3_waybel24(B,D),k3_waybel24(k2_borsuk_1(B,A),C)) & v2_waybel27(F) & v23_waybel_0(F,k3_waybel24(k2_borsuk_1(B,A),C),k3_waybel24(B,D)) ) ) ) ) ) ) ) )).
fof(l22_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k9_xtuple_0(k6_relat_1(A,B)),k9_xtuple_0(B)) ) )).
fof(l22_xreal_0,axiom,( m1_subset_1(k5_numbers,k2_arytm_2) )).
fof(l22_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => m1_xxreal_2(B,k2_tarski(A,B)) ) ) ) )).
fof(l22_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( k1_xxreal_3(A,B) = k1_xxreal_0 & A != k1_xxreal_0 & B != k1_xxreal_0 ) ) ) )).
fof(l22_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => a_3_5_yellow_4(A,B,C) = k6_domain_1(u1_struct_0(A),k10_lattice3(A,B,C)) ) ) ) )).
fof(l22_zf_fund1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r2_tarski(C,k2_zf_model(D)) => k1_funct_1(k2_partfun1(k4_ordinal1,A,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,A,k2_zf_fund1,B),k4_zf_fund1(k2_zf_model(D))),k3_zf_fund1(C)) = k3_funct_2(k1_zf_lang,A,B,C) ) ) ) ) ) )).
fof(l22_zfmisc_1,axiom,( ! [A] : ! [B] : ( k3_xboole_0(B,k1_tarski(A)) = k1_tarski(A) => r2_hidden(A,B) ) )).
fof(l22_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k1_relset_1(u1_struct_0(A),C) = k2_struct_0(A) & r1_tarski(k2_relset_1(u1_struct_0(B),C),k2_struct_0(B)) ) ) ) ) )).
fof(l230_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_xcmplx_0(k4_xcmplx_0(A)) = k4_xcmplx_0(k5_xcmplx_0(A)) ) )).
fof(l23_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_algstr_0)) => ? [C] : ( m1_subset_1(C,u1_struct_0(k8_algstr_0)) & k6_algstr_0(k8_algstr_0,A,C) = B ) ) ) )).
fof(l23_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k2_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(l23_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( k1_rlvect_1(A,k5_algstr_0(A,C,B),F) = k1_rlvect_1(A,k5_algstr_0(A,D,E),G) & ~ ( F = k5_numbers & G = k5_numbers ) & ~ r1_analoaf(A,B,C,D,E) & ~ r1_analoaf(A,B,C,E,D) ) ) ) ) ) ) ) ) )).
fof(l23_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k1_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xcmplx_0(D,E)),k1_rlvect_1(A,C,k3_xcmplx_0(D,F))) ) ) ) ) ) ) )).
fof(l23_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( E = k3_rlvect_1(A,k1_rlvect_1(A,C,F),k1_rlvect_1(A,D,G)) => E = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k5_numbers),k1_rlvect_1(A,C,F)),k1_rlvect_1(A,D,G)) ) ) ) ) ) ) ) ) )).
fof(l23_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => k1_arytm_1(k1_arytm_1(B,C),A) = k1_arytm_1(k1_arytm_1(B,A),C) ) ) ) )).
fof(l23_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,D),k8_nat_1(k1_numbers,B,D)) ) ) => r1_xxreal_0(k6_series_1(A,C),k6_series_1(B,C)) ) ) ) ) )).
fof(l23_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(2))) => ( B = k10_finseq_1(k5_numbers,A) => k2_normsp_0(k4_real_ns1(2),B) = k9_complex1(A) ) ) ) )).
fof(l23_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_clopban2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_clopban2(A))) => ( C = k6_clopban2(A) => ( k6_algstr_0(k8_clopban2(A),B,C) = B & k6_algstr_0(k8_clopban2(A),C,B) = B ) ) ) ) ) )).
fof(l23_collsp,axiom,( r1_tarski(a_0_2_collsp,k3_zfmisc_1(k8_domain_1(k4_ordinal1,1,2,3),k8_domain_1(k4_ordinal1,1,2,3),k8_domain_1(k4_ordinal1,1,2,3))) )).
fof(l23_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C = k2_xcmplx_0(A,B) => k3_complex1(C) = k3_real_1(k3_complex1(A),k3_complex1(B)) ) ) ) ) )).
fof(l23_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A,B,k6_domain_1(u1_struct_0(A),k4_struct_0(A))) = B ) ) )).
fof(l23_csspace,axiom,( v2_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k4_csspace)),k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k4_csspace)))) )).
fof(l23_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v2_comseq_2(C) & v2_comseq_2(B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),A)),k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),A))),k1_funct_1(B,E)) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k2_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_comseq_2(C),A)),k9_complex1(k6_xcmplx_0(k3_comseq_2(C),A))),k1_seq_2(B)) ) ) ) ) ) ) ) )).
fof(l23_dtconstr,axiom,( r2_tarski(c3__dtconstr,k2_lang1(k5_dtconstr)) )).
fof(l23_euler_1,axiom,( ! [A] : ( r2_hidden(A,a_0_1_euler_1) <=> A = 1 ) )).
fof(l23_facirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,k1_nat_1(A,1)) & v1_finseq_1(B) & v2_facirc_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) & ? [D] : ( ~ v1_xtuple_0(D) & B = k7_finseq_1(C,k9_finseq_1(D)) ) ) ) ) )).
fof(l23_fdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r2_hidden(A,k9_xtuple_0(k3_taylor_1)) & r1_xxreal_0(A,k5_numbers) ) ) )).
fof(l23_fib_num,axiom,( ~ r1_xxreal_0(k5_numbers,k2_fib_num) )).
fof(l23_finseq_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(l23_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ( v2_funct_1(C) => v2_funct_1(k17_finseq_1(B,A,C)) ) ) ) ) )).
fof(l23_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( k1_funct_1(k2_finseq_7(A,B,C,D),C) = k1_funct_1(B,D) & k1_funct_1(k2_finseq_7(A,B,C,D),D) = k1_funct_1(B,C) ) ) ) ) ) ) )).
fof(l23_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k9_xtuple_0(k13_funct_3(A,B)) = k1_finseq_1(k3_xxreal_0(k3_finseq_1(A),k3_finseq_1(B))) ) ) )).
fof(l23_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l4_struct_0(A) ) => k1_funct_1(k14_fomodel1(A),u2_struct_0(A)) = k4_xcmplx_0(2) ) )).
fof(l23_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k13_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),k9_gfacirc1(k12_gfacirc1(A,B,C),E,D)) = k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(G,H),I),K),k9_margrel1(K,J)),k9_margrel1(J,k2_binarith(k2_binarith(G,H),I))) & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l23_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,C) ) => r1_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,k1_fuzzy_1(k2_zfmisc_1(A,B),D,E),F,G,H))),k3_xxreal_0(k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,F,G,H))),k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,E,F,G,H))))) ) ) ) ) ) ) ) )).
fof(l23_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r1_analmetr(A,F,H) & r3_analmetr(A,B,C,G,D,F,H) & r3_analmetr(A,B,C,G,E,F,H) ) => r3_analmetr(A,B,C,D,E,F,H) ) ) ) ) ) ) ) ) ) )).
fof(l23_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( r5_glib_000(A,B) => k3_glib_002(A) = k3_glib_002(B) ) ) ) )).
fof(l23_gr_cy_3,axiom,( k11_newton(2,8) = 256 )).
fof(l23_groeb_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(C,k7_ideal_1(A,B)) ) ) ) ) )).
fof(l23_group_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k15_group_2(A,B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> C = k13_group_2(A,B,D) ) ) ) ) ) )).
fof(l23_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [D] : ( r1_tarski(D,C) => r2_tarski(D,k1_substlat(A,B)) ) ) ) )).
fof(l23_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( v1_int_7(A) & r2_tarski(B,k22_pre_poly(k8_newton,A)) & k1_recdef_1(A,B) != B & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k8_newton) & v1_funct_1(D) & v1_partfun1(D,k8_newton) & v4_valued_0(D) & v2_pre_poly(D) ) => ~ ( v1_int_7(C) & k22_pre_poly(k8_newton,D) = k1_tarski(B) & k8_nat_3(k8_newton,D) = B & k22_pre_poly(k8_newton,C) = k22_pre_poly(k8_newton,A) & k5_relat_1(C,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,C),k1_tarski(B))) = k5_relat_1(A,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,C),k1_tarski(B))) & k1_recdef_1(A,B) = k3_xcmplx_0(k1_recdef_1(C,B),B) & k8_nat_3(k8_newton,A) = k3_xcmplx_0(k8_nat_3(k8_newton,C),B) ) ) ) ) ) ) )).
fof(l23_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_tarski(B,k1_relset_1(k1_numbers,C)) => ( v1_funct_1(k2_partfun1(k1_numbers,k1_euclid(A),C,B)) & v1_funct_2(k2_partfun1(k1_numbers,k1_euclid(A),C,B),B,k1_euclid(A)) & m1_subset_1(k2_partfun1(k1_numbers,k1_euclid(A),C,B),k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) ) ) ) ) )).
fof(l23_integr21,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( v1_integr19(C,B,A) & v1_integr18(C,B,A) & r2_relset_1(A,k1_numbers,D,k4_normsp_0(A,B,C)) & v3_integra1(D,A) ) => r1_xxreal_0(k2_normsp_0(B,k4_integr18(B,A,C)),k12_integra1(A,D)) ) ) ) ) ) )).
fof(l23_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ( ~ r1_xxreal_0(k1_funct_1(B,1),k3_seq_4(A)) => ( ~ v1_xboole_0(k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B)) & v5_valued_0(k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B)) & m2_finseq_1(k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B),k1_numbers) ) ) ) ) )).
fof(l23_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k4_integra5(A,D,E) = k2_xcmplx_0(k4_integra5(A,C,E),k4_integra5(C,D,E)) ) ) ) ) ) ) )).
fof(l23_integra8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,A),k32_valued_1(k1_numbers,k1_numbers,B)) = k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B) ) ) )).
fof(l23_jgraph_3,axiom,( k16_euclid(2) = k4_struct_0(k15_euclid(2)) )).
fof(l23_jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A)) & v1_funct_2(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),k1_pre_topc(k15_euclid(2),A),k3_topmetr) & m1_subset_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k3_funct_2(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),k1_numbers,k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),B) = k1_funct_1(k4_pscomp_1,B) ) ) ) )).
fof(l23_jgraph_6,axiom,( k17_euclid(k19_euclid(k5_numbers,1)) = k5_numbers )).
fof(l23_jordan7,axiom,( r2_tarski(1,k1_rcomp_1(k5_numbers,1)) )).
fof(l23_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) ) ) )).
fof(l23_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_lopban_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_lopban_2(A))) => ( C = k6_lopban_2(A) => ( k6_algstr_0(k8_lopban_2(A),B,C) = B & k6_algstr_0(k8_lopban_2(A),C,B) = B ) ) ) ) ) )).
fof(l23_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,B,C),B),B),k4_cqc_the1(A)) ) ) ) )).
fof(l23_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => k1_wsierp_1(k10_matrixj1(A,k4_matrixj1(A,B))) = k3_finseq_1(B) ) ) )).
fof(l23_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ! [D] : ( v1_relat_1(k1_funct_1(k3_matrtop1(A,B,C),D)) & v1_funct_1(k1_funct_1(k3_matrtop1(A,B,C),D)) & v1_finseq_1(k1_funct_1(k3_matrtop1(A,B,C),D)) & v3_valued_0(k1_funct_1(k3_matrtop1(A,B,C),D)) ) ) ) ) )).
fof(l23_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),C,G)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,H)),k1_rlvect_1(k15_euclid(2),A,H)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,I)),k1_rlvect_1(k15_euclid(2),B,I)) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | G = 1 | H = 1 | I = 1 | ( k2_xcmplx_0(k6_xcmplx_0(1,H),k3_xcmplx_0(G,H)) != k5_numbers & k2_xcmplx_0(k6_xcmplx_0(1,G),k3_xcmplx_0(I,G)) != k5_numbers & k2_xcmplx_0(k6_xcmplx_0(1,I),k3_xcmplx_0(H,I)) != k5_numbers ) | ( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(G,k6_xcmplx_0(1,G)),k7_xcmplx_0(H,k6_xcmplx_0(1,H))),k7_xcmplx_0(I,k6_xcmplx_0(1,I))) = 1 <=> ( r1_xboole_0(k5_rltopsp1(k15_euclid(2),A,D),k5_rltopsp1(k15_euclid(2),B,E)) & r1_xboole_0(k5_rltopsp1(k15_euclid(2),B,E),k5_rltopsp1(k15_euclid(2),C,F)) & r1_xboole_0(k5_rltopsp1(k15_euclid(2),C,F),k5_rltopsp1(k15_euclid(2),A,D)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l23_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [D] : ( v7_ordinal1(D) => ( r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,k1_mesfun9c(A,k2_numbers,C,B)),D),k2_partfun1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,C),D),B)) & r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,k1_mesfun9c(A,k2_numbers,C,B)),D),k2_partfun1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,C),D),B)) ) ) ) ) )).
fof(l23_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => ( D = E | r1_xboole_0(D,E) ) ) ) ) ) => ( r2_tarski(k1_xboole_0,C) | r1_ordinal1(k1_card_1(C),B) ) ) ) => r1_ordinal1(k4_topgen_1(A),B) ) ) ) )).
fof(l23_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_modelc_2(A) => k1_funct_1(A,1) = 1 ) ) )).
fof(l23_nagata_2,axiom,( k2_tops_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k1_nagata_2) = k2_funct_1(k1_nagata_2) )).
fof(l23_normform,axiom,( ! [A] : v3_binop_1(k5_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) )).
fof(l23_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_o_ring_1(B,A) => v7_o_ring_1(B,A) ) ) ) )).
fof(l23_petri_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) = k1_xboole_0 & k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(C)) = k1_xboole_0 & k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(D)) = k1_xboole_0 & k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) = k1_xboole_0 & k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(D)) = k1_xboole_0 & k3_xboole_0(k9_xtuple_0(C),k9_xtuple_0(D)) = k1_xboole_0 & E = k1_funct_4(k1_funct_4(k1_funct_4(A,B),C),D) ) => ( ! [F] : ( r2_tarski(F,k9_xtuple_0(A)) => k1_funct_1(E,F) = k1_funct_1(A,F) ) & ! [F] : ( r2_tarski(F,k9_xtuple_0(B)) => k1_funct_1(E,F) = k1_funct_1(B,F) ) & ! [F] : ( r2_tarski(F,k9_xtuple_0(C)) => k1_funct_1(E,F) = k1_funct_1(C,F) ) & ! [F] : ( r2_tarski(F,k9_xtuple_0(D)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) ) ) ) ) ) ) ) )).
fof(l23_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k2_polynom7(A,B,C) = k16_pre_poly(A) & k3_polynom7(A,B,C) = k4_polynom1(A,B,C,k16_pre_poly(A)) ) ) ) )).
fof(l23_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k2_polynom8(A,k5_struct_0(A),B) = k5_struct_0(A) ) ) )).
fof(l23_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,k1_polyred(A,D,B,C)),a_4_0_polyred(A,B,C,D)) ) ) ) ) )).
fof(l23_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( r1_xxreal_0(A,k5_numbers) | ( k1_newton(k2_prepower(B,A),B) = A & k2_prepower(B,k1_newton(A,B)) = A ) ) ) ) ) )).
fof(l23_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,C,E) & ~ r1_incsp_1(A,B,F) & ~ r1_incsp_1(A,C,F) & ~ r1_projred2(A,D,E,F) & r1_projred2(A,D,F,H) & ~ r1_incsp_1(A,C,H) & D != H & B != C & r1_incsp_1(A,B,G) & r1_incsp_1(A,C,G) & ~ r1_projred2(A,E,F,G) & ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ~ ( r1_incsp_1(A,I,G) & ~ r1_incsp_1(A,I,D) & ~ r1_incsp_1(A,I,H) & k3_relat_1(k1_projred1(A,D,F,B),k1_projred1(A,F,E,C)) = k3_relat_1(k1_projred1(A,D,H,I),k1_projred1(A,H,E,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l23_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k4_card_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k12_supinf_2(D,E) = k1_extreal1(k12_supinf_2(C,k1_funct_1(k19_finseq_1(A),E)),k12_supinf_2(B,k1_tarski(k1_funct_1(k19_finseq_1(A),E)))) ) ) & k1_mesfunc6(A,k1_random_1(A),k2_prob_4(A,k1_random_1(A),B),C) = k18_rvsum_1(D) ) ) ) ) )).
fof(l23_random_2,axiom,( m1_subset_1(1,k6_numbers) )).
fof(l23_realset2,axiom,( k6_subset_1(c4__realset2,k1_tarski(k10_subset_1(k5_numbers,2))) = k1_tarski(k10_subset_1(1,2)) )).
fof(l23_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r2_tarski(k4_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) ) ) )).
fof(l23_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k1_numbers,k9_funct_2(u1_struct_0(A),k1_numbers)) => r1_tarski(k13_pre_poly(B),u1_struct_0(A)) ) ) )).
fof(l23_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => r1_tarski(u1_struct_0(k2_rmod_3(A,B,C,D)),u1_struct_0(C)) ) ) ) ) )).
fof(l23_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(k3_scm_inst)) => ( ~ ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(B,5) & A = B ) ) => k6_compos_0(k3_scm_inst,A) = k1_tarski(k1_xboole_0) ) ) )).
fof(l23_scmfsa_1,axiom,( k9_xtuple_0(k4_scmfsa_1) = k1_scmfsa_1 )).
fof(l23_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k4_card_1(k10_compos_1(k1_scmpds_2,k2_scmpds_8(A,B,C))) = k1_nat_1(k4_card_1(C),3) ) ) ) )).
fof(l23_scmpds_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & k2_xcmplx_0(k2_xcmplx_0(k9_complex1(B),A),1) = k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k9_complex1(B),A),A),B)) ) ) ) )).
fof(l23_scmyciel,axiom,( ! [A] : k3_tarski(a_1_3_scmyciel(A)) = A )).
fof(l23_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k2_scmp_gcd),6))),k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( r1_scmpds_6(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A) & r2_scmpds_6(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A) ) ) ) ) )).
fof(l23_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k1_scmp_gcd(2)) = C & k1_funct_1(B,k1_scmp_gcd(3)) = D & r1_xxreal_0(8,C) & r1_xxreal_0(8,D) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(4)) = k1_funct_1(B,k1_scmp_gcd(4)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(8,E) => k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(E)) = k1_funct_1(B,k1_scmp_gcd(E)) ) ) & ( ~ r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(C)),k1_funct_1(B,k1_scmp_gcd(D))) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(7)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(7)),1) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(3)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(5)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(7)),1) ) ) & ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(C)),k1_funct_1(B,k1_scmp_gcd(D))) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(7)) = k5_numbers & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(3)) = k1_funct_1(B,k1_scmp_gcd(3)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))),B,A),k1_scmp_gcd(5)) = k1_funct_1(B,k1_scmp_gcd(7)) ) ) ) ) ) ) ) ) )).
fof(l23_seqm_3,axiom,( v5_valued_0(k6_partfun1(k4_ordinal1)) & v4_valued_0(k6_partfun1(k4_ordinal1)) )).
fof(l23_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(6,k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,C)),B),k7_xcmplx_0(B,k3_square_1(k3_xcmplx_0(A,C)))),k7_xcmplx_0(k3_square_1(k3_xcmplx_0(A,B)),C)),k7_xcmplx_0(C,k3_square_1(k3_xcmplx_0(B,A)))),k7_xcmplx_0(A,k3_square_1(k3_xcmplx_0(B,C)))),k7_xcmplx_0(k3_square_1(k3_xcmplx_0(B,C)),A))) ) ) ) )).
fof(l23_sf_mastr,axiom,( ! [A] : ! [B] : k2_sf_mastr(k2_xboole_0(A,B)) = k4_subset_1(k2_scmfsa_2,k2_sf_mastr(A),k2_sf_mastr(B)) )).
fof(l23_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k1_sin_cos2,k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) ) ) )).
fof(l23_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)) = k3_xcmplx_0(k3_xcmplx_0(2,k2_sin_cos2(k2_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))),k4_sin_cos2(k6_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))) & k6_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)) = k3_xcmplx_0(k3_xcmplx_0(2,k2_sin_cos2(k6_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))),k4_sin_cos2(k2_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))) & k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)) = k3_xcmplx_0(k3_xcmplx_0(2,k4_sin_cos2(k2_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))),k4_sin_cos2(k6_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))) & k6_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)) = k3_xcmplx_0(k3_xcmplx_0(2,k2_sin_cos2(k6_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))),k2_sin_cos2(k2_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2)))) & k2_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)) = k7_xcmplx_0(k2_sin_cos2(k2_xcmplx_0(A,B)),k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) & k6_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)) = k7_xcmplx_0(k2_sin_cos2(k6_xcmplx_0(A,B)),k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) ) ) ) )).
fof(l23_sin_cos9,axiom,( r2_hidden(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l23_sincos10,axiom,( r1_tarski(k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos),k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)) )).
fof(l23_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l23_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k3_square_1(B),k3_square_1(A)) ) ) ) )).
fof(l23_srings_2,axiom,( v4_srings_1(c2__srings_2,k1_numbers) )).
fof(l23_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r6_pboole(A,k1_termord(A,B,C,C),C) & r6_pboole(A,k2_termord(A,B,C,C),C) ) ) ) ) )).
fof(l23_topalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(A)) & v5_pre_topc(B,k5_topmetr,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(A)) & v5_pre_topc(C,k5_topmetr,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => v5_pre_topc(k3_topalg_2(A,B,C),k2_borsuk_1(k5_topmetr,k5_topmetr),A) ) ) ) )).
fof(l23_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(A)))) ) => ( B = k1_xboole_0 => v4_topalg_6(B,A) ) ) ) )).
fof(l23_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) ) => ! [B] : ( ( v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_topmetr)) => ( k1_binop_1(k12_topalg_7(A,B,C,D),E,k5_numbers) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k5_topalg_7(A,B,C,D),E) & k1_binop_1(k12_topalg_7(A,B,C,D),E,1) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k5_topalg_7(A,B,D,C),E) & k1_binop_1(k12_topalg_7(A,B,C,D),k5_numbers,E) = B & k1_binop_1(k12_topalg_7(A,B,C,D),1,E) = B ) ) ) ) ) ) )).
fof(l23_topgen_6,axiom,( ~ v10_pre_topc(k1_topgen_6) )).
fof(l23_topreal2,axiom,( r2_tarski(k19_euclid(k5_numbers,1),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) )).
fof(l23_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => r1_tarski(u1_struct_0(k2_vectsp_5(A,B,C,D)),u1_struct_0(C)) ) ) ) ) )).
fof(l23_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k4_card_3(k1_funct_6(D))) <=> r2_tarski(E,k1_relset_1(k4_card_3(k1_funct_6(D)),k2_waybel_5(B,u1_struct_0(A),C,D))) ) ) ) ) ) )).
fof(l23_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ( k3_xcmplx_0(A,C) = B => ( B = k5_numbers | m1_subset_1(C,k4_ordinal1) ) ) ) ) ) )).
fof(l23_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(k5_numbers,C) ) => r1_xxreal_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)) ) ) ) ) )).
fof(l23_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k4_xcmplx_0(B),k4_xcmplx_0(A)) ) ) ) )).
fof(l23_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( m1_xxreal_2(C,k2_tarski(A,B)) => r1_xxreal_0(B,C) ) ) ) )).
fof(l23_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( k1_xxreal_3(A,B) = k2_xxreal_0 & A != k2_xxreal_0 & B != k2_xxreal_0 ) ) ) )).
fof(l23_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => a_4_0_yellow_4(A,B,C,D) = k7_domain_1(u1_struct_0(A),k10_lattice3(A,B,C),k10_lattice3(A,B,D)) ) ) ) ) )).
fof(l23_zf_fund1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( r2_relset_1(k4_ordinal1,A,k2_partfun1(k4_ordinal1,A,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,A,k2_zf_fund1,C),k4_zf_fund1(k2_zf_model(B))),k2_partfun1(k4_ordinal1,A,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,A,k2_zf_fund1,D),k4_zf_fund1(k2_zf_model(B)))) & r2_tarski(C,k5_zf_model(B,A)) ) => r2_tarski(D,k5_zf_model(B,A)) ) ) ) ) ) )).
fof(l23_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_ordinal1(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,B) <=> r2_tarski(D,C) ) ) => B = C ) ) ) ) ) )).
fof(l24_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(8,k5_margrel1)) => k3_funct_2(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1),k2_funct_2(k4_finseq_2(8,k5_margrel1),A),k3_funct_2(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1),A,B)) = B ) ) )).
fof(l24_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,E) & r2_tarski(B,k1_aff_4(A,C,D)) & r5_aff_1(A,C,E) ) => r1_tarski(E,k1_aff_4(A,C,D)) ) ) ) ) ) ) )).
fof(l24_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_algstr_0)) => ? [C] : ( m1_subset_1(C,u1_struct_0(k8_algstr_0)) & k6_algstr_0(k8_algstr_0,C,A) = B ) ) ) )).
fof(l24_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k3_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(l24_ami_6,axiom,( k10_ami_3(k5_numbers) != k10_ami_3(1) )).
fof(l24_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_rlvect_1(A,k1_rlvect_1(A,B,k5_numbers),k1_rlvect_1(A,C,k5_numbers)) = k4_struct_0(A) ) ) ) )).
fof(l24_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ! [D] : ( m1_subset_1(D,k2_arytm_2) => ( ( C = A & D = B ) => ( r1_arytm_2(C,D) <=> r3_arytm_3(A,B) ) ) ) ) ) ) )).
fof(l24_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r2_tarski(A,k6_asympt_0(B)) & r2_tarski(B,k6_asympt_0(A)) ) <=> k6_asympt_0(A) = k6_asympt_0(B) ) ) ) )).
fof(l24_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,A,C) = B ) ) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k6_series_1(A,C) = k3_xcmplx_0(B,C) ) ) ) ) )).
fof(l24_card_1,axiom,( k3_card_1(k5_ordinal1) = k1_card_1(k4_ordinal1) & ! [A] : ( v3_ordinal1(A) => k3_card_1(k1_ordinal1(A)) = k2_card_1(k3_card_1(A)) ) & ! [A] : ( v3_ordinal1(A) => ( v4_ordinal1(A) => ( A = k5_ordinal1 | ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) ) => ( ( k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_card_1(C) ) ) ) => k3_card_1(A) = k1_card_1(k4_ordinal2(B)) ) ) ) ) ) )).
fof(l24_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_cc0sp2(A))) => ( C = k4_c0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)) => ( k6_algstr_0(k5_cc0sp2(A),B,C) = B & k6_algstr_0(k5_cc0sp2(A),C,B) = B ) ) ) ) ) )).
fof(l24_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) => ( B = k9_finseq_1(A) => k2_normsp_0(k4_real_ns1(1),B) = k9_complex1(A) ) ) ) )).
fof(l24_circled1,axiom,( m1_subset_1(1,k1_numbers) & m1_subset_1(k7_xcmplx_0(1,2),k1_numbers) )).
fof(l24_collsp,axiom,( ~ v1_xboole_0(k8_domain_1(k4_ordinal1,1,2,3)) )).
fof(l24_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C = k2_xcmplx_0(A,B) => k4_complex1(C) = k3_real_1(k4_complex1(A),k4_complex1(B)) ) ) ) ) )).
fof(l24_compos_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(A,k4_xcmplx_0(1)) ) )).
fof(l24_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v2_margrel1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ( ( v3_margrel1(B,A) & ~ v1_xboole_0(B) ) <=> k1_relset_1(k3_finseq_2(A),B) = k4_finseq_2(k18_margrel1(B),A) ) ) ) )).
fof(l24_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(k5_numbers,D) & v1_convex1(B,A) ) => r1_tarski(k7_rusub_4(A,k1_convex1(A,B,C),k1_convex1(A,B,D)),k1_convex1(A,B,k2_xcmplx_0(C,D))) ) ) ) ) ) )).
fof(l24_dtconstr,axiom,( r1_tarski(k6_domain_1(u1_struct_0(k5_dtconstr),c3__dtconstr),k2_lang1(k5_dtconstr)) )).
fof(l24_euler_1,axiom,( k4_card_1(k1_tarski(1)) = k1_euler_1(2) )).
fof(l24_fdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k8_relset_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,A),k1_tarski(k5_numbers)) = k8_relset_1(k1_numbers,k1_numbers,A,k1_tarski(k5_numbers)) ) )).
fof(l24_fib_num,axiom,( ~ r1_xxreal_0(1,k9_complex1(k2_fib_num)) )).
fof(l24_fib_num4,axiom,( k1_square_1(k2_fib_num) = k7_xcmplx_0(k6_xcmplx_0(3,k3_square_1(5)),2) )).
fof(l24_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => v1_funct_1(k4_relset_1(k4_finseq_2(C,k8_eqrel_1(A,B)),k4_finseq_2(C,A),k4_finseq_2(C,A),k8_eqrel_1(k4_finseq_2(C,A),k13_fomodel3(A,B,C)),k8_fomodel3(k8_eqrel_1(A,B),A,k3_relset_1(A,k8_eqrel_1(A,B),k17_fomodel3(A,B)),C),k17_fomodel3(k4_finseq_2(C,A),k13_fomodel3(A,B,C)))) ) ) ) )).
fof(l24_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( r1_tarski(A,k1_fomodel4(B)) => k1_funct_1(k4_fomodel4(B,C),A) = k3_tarski(k3_tarski(a_3_3_fomodel4(A,B,C))) ) ) ) )).
fof(l24_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k13_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),k12_gfacirc1(k12_gfacirc1(A,B,C),E,D)) = k2_binarith(k2_binarith(k2_binarith(k2_binarith(G,H),I),J),K) & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l24_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( r2_hidden(D,k9_xtuple_0(k3_relat_1(k13_funct_3(A,B),C))) => k1_funct_1(k3_relat_1(k13_funct_3(A,B),C),D) = k1_binop_1(C,k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(l24_funct_9,axiom,( v1_funct_9(k16_sin_cos,k3_xcmplx_0(2,k28_sin_cos)) )).
fof(l24_fvaluat1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v1_realset2(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( C != k4_struct_0(B) & k3_fvaluat1(B,C,A) = k4_struct_0(B) ) ) ) ) )).
fof(l24_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_analmetr(A,D,E) & r3_analmetr(A,B,C,B,C,D,E) ) => B = C ) ) ) ) ) ) )).
fof(l24_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( r2_tarski(B,k3_glib_002(A)) => ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) ) ) ) )).
fof(l24_goedelcp,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ ( v4_card_3(A) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( k9_xtuple_0(B) = k4_ordinal1 & A = k10_xtuple_0(B) ) ) ) ) )).
fof(l24_graph_2,axiom,( ~ r1_xxreal_0(k3_finseq_1(k2_finseq_4(k4_ordinal1,1,2)),1) & 1 != 2 & k10_xtuple_0(k2_finseq_4(k4_ordinal1,1,2)) = k2_tarski(1,2) )).
fof(l24_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(A,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k12_polynom1(A,C))) => ( ( F = D & G = E ) => k5_algstr_0(k12_polynom1(A,C),F,G) = k7_polynom1(A,C,D,E) ) ) ) ) ) ) ) ) )).
fof(l24_group_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( m1_group_9(D,A,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r1_struct_0(D,E) => r1_struct_0(D,k3_funct_2(u1_struct_0(C),u1_struct_0(C),k3_group_9(A,C,B),E)) ) ) ) ) ) )).
fof(l24_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ r1_tarski(k3_heyting3(k1_nat_1(A,1),B),k3_heyting3(A,B)) ) ) )).
fof(l24_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => r1_tarski(k5_hilbert1(k5_hilbert1(A)),k5_hilbert1(A)) ) )).
fof(l24_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(k7_hilbert4(A)) & v1_funct_1(k7_hilbert4(A)) & v1_relat_1(k6_hilbert4(A)) & v1_funct_1(k6_hilbert4(A)) & k9_xtuple_0(k7_hilbert4(A)) = k4_ordinal1 & k9_xtuple_0(k6_hilbert4(A)) = k4_ordinal1 ) ) )).
fof(l24_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => k7_cat_1(A,C,k9_index_1(A,B,C)) = k1_xfamily(B) ) ) ) )).
fof(l24_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m1_integra1(D,A) => ( D = k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(B))) => k2_integra1(A,D,k1_nat_1(E,1)) = k2_integra1(A,B,E) ) ) & k4_integra1(A,C,B) = k2_rfinseq(k1_numbers,1,k4_integra1(A,C,D)) & k5_integra1(A,C,B) = k2_rfinseq(k1_numbers,1,k5_integra1(A,C,D)) ) ) ) ) ) ) )).
fof(l24_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r1_nattra_1(A,B,C,D) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r2_tarski(k2_nattra_1(A,B,C,D,E,F),k2_cat_1(B,k8_cat_1(A,B,C,F),k8_cat_1(A,B,D,F))) ) ) ) ) ) ) ) )).
fof(l24_jgraph_3,axiom,( ( r1_xxreal_0(k18_euclid(k22_euclid(2)),k17_euclid(k22_euclid(2))) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(k22_euclid(2))),k18_euclid(k22_euclid(2))) ) | ( r1_xxreal_0(k17_euclid(k22_euclid(2)),k18_euclid(k22_euclid(2))) & r1_xxreal_0(k18_euclid(k22_euclid(2)),k4_xcmplx_0(k17_euclid(k22_euclid(2)))) ) )).
fof(l24_jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A)) & v1_funct_2(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),k1_pre_topc(k15_euclid(2),A),k3_topmetr) & m1_subset_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k3_funct_2(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),k1_numbers,k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),B) = k1_funct_1(k5_pscomp_1,B) ) ) ) )).
fof(l24_jgraph_6,axiom,( k18_euclid(k19_euclid(k5_numbers,1)) = 1 )).
fof(l24_jordan12,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k1_matrix_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(C,k2_goboard5(A,B)) & r2_tarski(D,k2_goboard5(A,B)) & r1_xxreal_0(k18_euclid(C),k18_euclid(D)) ) => r1_tarski(k1_rltopsp1(k15_euclid(2),C,D),k2_goboard5(A,B)) ) ) ) ) ) ) )).
fof(l24_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & B != k1_funct_1(A,k3_finseq_1(A)) & v4_topreal1(A) & ~ r2_tarski(B,k3_topreal1(2,k2_jordan3(A,C))) & ~ r2_tarski(C,k3_topreal1(2,k2_jordan3(A,B))) ) ) ) ) )).
fof(l24_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k2_lattice2(u1_struct_0(A),A,k1_setwiseo(u1_struct_0(A)),B) = k5_lattices(A) ) ) )).
fof(l24_lattice7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v17_waybel_0(C,A,B) => v19_waybel_0(C,A,B) ) ) ) ) )).
fof(l24_limfunc1,axiom,( v1_xreal_0(1) )).
fof(l24_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,B,D),E),k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,k8_cqc_lang(A,C,D),E))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l24_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k4_matrix_0(u1_struct_0(k2_vectsp_1),k2_matrtop3(D,A,B,C)) = k2_matrtop3(D,k4_xcmplx_0(A),B,C) ) ) ) ) ) ) )).
fof(l24_measure6,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k1_measure6(A,B)) <=> ? [D] : ( v1_xreal_0(D) & r2_hidden(D,A) & C = k2_xcmplx_0(B,D) ) ) ) ) ) )).
fof(l24_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ? [E] : ( v7_ordinal1(E) & k12_supinf_2(k6_measure8(A,B,C),k8_nat_1(k9_setfam_1(A),D,E)) = k1_supinf_1 ) => r1_xxreal_0(k12_supinf_2(k6_measure8(A,B,C),k5_setfam_1(A,k2_relset_1(k9_setfam_1(A),D))),k17_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,k6_measure8(A,B,C)))) ) ) ) ) )).
fof(l24_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v5_modelc_2(A) => k1_funct_1(A,1) = 2 ) ) )).
fof(l24_msaterm,axiom,( ! [A] : ~ r2_tarski(A,A) )).
fof(l24_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => r2_tarski(u3_msualg_1(A,B),k5_msualg_2(A,B,C)) ) ) ) )).
fof(l24_nagata_2,axiom,( v1_xreal_0(1) )).
fof(l24_necklace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r5_waybel_1(A,B) => k1_card_1(u1_orders_2(A)) = k1_card_1(u1_orders_2(B)) ) ) ) )).
fof(l24_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ~ ( ~ r1_xxreal_0(A,k5_ordinal1) & ~ v1_abian(k6_xcmplx_0(B,C)) & ~ ( ~ v1_abian(k2_xcmplx_0(B,C)) & ~ v1_abian(k6_xcmplx_0(k1_newton(B,A),k1_newton(C,A))) & ~ v1_abian(k2_xcmplx_0(k1_newton(B,A),k1_newton(C,A))) ) ) ) ) ) )).
fof(l24_normform,axiom,( ! [A] : v1_binop_1(k5_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) )).
fof(l24_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => a_3_0_normsp_2(A,B,C) = a_3_6_normsp_2(A,B,C) ) ) ) )).
fof(l24_numbers,axiom,( r1_tarski(k4_numbers,k3_numbers) )).
fof(l24_petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( k3_xboole_0(A,B) = k1_xboole_0 & r1_tarski(C,A) & r1_tarski(D,B) & r1_tarski(E,k6_subset_1(A,C)) & r1_tarski(F,k6_subset_1(B,D)) & G = C & H = D ) => ( k3_xboole_0(E,F) = k1_xboole_0 & k3_xboole_0(E,G) = k1_xboole_0 & k3_xboole_0(E,H) = k1_xboole_0 & k3_xboole_0(F,G) = k1_xboole_0 & k3_xboole_0(F,H) = k1_xboole_0 & k3_xboole_0(G,H) = k1_xboole_0 ) ) )).
fof(l24_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,C,E) & ~ r1_incsp_1(A,B,F) & ~ r1_incsp_1(A,C,F) & ~ r1_projred2(A,D,E,F) & r1_projred2(A,D,F,H) & ~ r1_incsp_1(A,C,H) & D != H & B != C & r1_incsp_1(A,B,G) & r1_incsp_1(A,C,G) & r1_projred2(A,E,F,G) & ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ~ ( r1_incsp_1(A,I,G) & ~ r1_incsp_1(A,I,D) & ~ r1_incsp_1(A,I,H) & k3_relat_1(k1_projred1(A,D,F,B),k1_projred1(A,F,E,C)) = k3_relat_1(k1_projred1(A,D,H,I),k1_projred1(A,H,E,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l24_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers))) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(A)) ) => ! [H] : ( ( ~ v1_xboole_0(H) & v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(B)) ) => ( ( ! [I] : ! [J] : ( ( r2_tarski(I,A) & r2_tarski(J,B) ) => k1_binop_1(E,I,J) = k1_extreal1(k12_supinf_2(C,k1_tarski(I)),k12_supinf_2(D,k1_tarski(J))) ) & ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(F,I) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,I,E) ) ) => k12_supinf_2(F,k2_zfmisc_1(G,H)) = k1_extreal1(k12_supinf_2(C,G),k12_supinf_2(D,H)) ) ) ) ) ) ) ) ) ) )).
fof(l24_realset2,axiom,( k2_zfmisc_1(k6_subset_1(c4__realset2,k1_tarski(k10_subset_1(k5_numbers,2))),k6_subset_1(c4__realset2,k1_tarski(k10_subset_1(k5_numbers,2)))) = k1_tarski(k4_tarski(k10_subset_1(1,2),k10_subset_1(1,2))) )).
fof(l24_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r2_tarski(k5_struct_0(B),k2_relset_1(u1_struct_0(B),C)) ) ) ) )).
fof(l24_scmfsa_1,axiom,( k1_afinsq_1(k7_afinsq_1(k4_ordinal1,k4_numbers,k3_finseq_2(k4_numbers))) = 3 )).
fof(l24_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( r1_tarski(k4_scmp_gcd,D) & r1_tarski(k4_scmp_gcd,E) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) = 5 & A = k1_funct_1(B,k3_scmp_gcd) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) & k1_funct_1(C,k3_scmp_gcd) = k1_funct_1(B,k3_scmp_gcd) & k1_funct_1(C,k2_scmp_gcd) = k5_numbers & k1_funct_1(C,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)) & k1_funct_1(C,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)) ) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)),k5_numbers) | ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7)) = k1_nat_1(5,7) & k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,8) = k2_extpro_1(k5_card_1(2),k1_scmpds_2,k3_scmpds_2(k4_xcmplx_0(7)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7),k3_scmp_gcd) = k1_nat_1(A,4) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7),k2_scmp_gcd) = k5_numbers & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7),k1_scmp_gcd(k1_nat_1(A,7))) = k5_int_1(k1_funct_1(B,k1_scmp_gcd(k1_nat_1(A,2))),k1_funct_1(B,k1_scmp_gcd(k1_nat_1(A,3)))) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7),k1_scmp_gcd(k1_nat_1(A,6))) = k1_funct_1(B,k1_scmp_gcd(k1_nat_1(A,3))) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7)) = k1_nat_1(5,7) & k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,8) = k2_extpro_1(k5_card_1(2),k1_scmpds_2,k3_scmpds_2(k4_xcmplx_0(7)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7),k3_scmp_gcd) = k1_nat_1(A,4) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7),k2_scmp_gcd) = k5_numbers & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7),k1_scmp_gcd(k1_nat_1(A,7))) = k5_int_1(k1_funct_1(B,k1_scmp_gcd(k1_nat_1(A,2))),k1_funct_1(B,k1_scmp_gcd(k1_nat_1(A,3)))) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7),k1_scmp_gcd(k1_nat_1(A,6))) = k1_funct_1(B,k1_scmp_gcd(k1_nat_1(A,3))) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7),k1_scmp_gcd(k1_nat_1(A,4))) = A & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,7),k1_scmp_gcd(k1_nat_1(A,5))) = 11 & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7),k1_scmp_gcd(k1_nat_1(A,4))) = A & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,7),k1_scmp_gcd(k1_nat_1(A,5))) = 11 ) ) ) ) ) ) ) ) )).
fof(l24_scmpds_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( B != 5 & k2_xcmplx_0(k2_xcmplx_0(A,k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k1_int_2(B)),4)),1) = k2_xcmplx_0(A,B) ) ) ) )).
fof(l24_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => r1_xxreal_0(k5_compos_0(k1_scmpds_i,A),14) ) )).
fof(l24_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k2_scmp_gcd),6))),k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A),k1_scmp_gcd(3)) = k1_funct_1(B,k1_scmp_gcd(3)) ) ) ) ) )).
fof(l24_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),k1_funct_1(B,k1_scmp_gcd(7))) = C & r1_xxreal_0(8,k1_funct_1(B,k1_scmp_gcd(3))) & k1_funct_1(B,k1_scmp_gcd(2)) = D & r1_xxreal_0(8,D) ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(7)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(7)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(4)) = k1_funct_1(B,k1_scmp_gcd(4)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(8,E) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(E)) = k1_funct_1(B,k1_scmp_gcd(E)) ) ) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & E = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(5)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(3)) = F & k2_xcmplx_0(F,E) = C & r1_xxreal_0(E,k1_funct_1(B,k1_scmp_gcd(7))) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(3)),G) & ~ r1_xxreal_0(F,G) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(D)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(G))) ) ) & ( E = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(D)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A),k1_scmp_gcd(F))) ) ) ) ) ) ) ) ) ) ) )).
fof(l24_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( v5_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k1_nat_1(B,1)),k8_nat_1(k4_ordinal1,A,B)) ) ) ) )).
fof(l24_sin_cos9,axiom,( r2_tarski(k7_xcmplx_0(k28_sin_cos,4),k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l24_sincos10,axiom,( r1_tarski(k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos),k1_relset_1(k1_numbers,k1_fdiff_9)) )).
fof(l24_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)),k3_topreal1(2,A)) ) ) )).
fof(l24_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l24_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_eqrel_1(E,k6_subset_1(k1_setfam_1(k2_relset_1(B,C)),k3_card_3(D))) ) ) ) ) )).
fof(l24_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) => ( v3_pre_topc(B,k3_pcomps_1(k14_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ~ ( r2_tarski(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k4_euclid_9(A,C,D),B) ) ) ) ) ) ) ) )).
fof(l24_topalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => ( k1_binop_1(k3_topalg_2(A,D,E),F,k5_numbers) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),D,F) & k1_binop_1(k3_topalg_2(A,D,E),F,1) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),E,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ( k1_binop_1(k3_topalg_2(A,D,E),k5_numbers,G) = B & k1_binop_1(k3_topalg_2(A,D,E),1,G) = C ) ) ) ) ) ) ) ) ) )).
fof(l24_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) ) => ( v1_connsp_2(A) => v1_connsp_2(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) ) ) ) )).
fof(l24_topreal2,axiom,( r2_tarski(k19_euclid(1,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers))) )).
fof(l24_toprealb,axiom,( v1_funct_1(k16_sin_cos) & v1_funct_2(k16_sin_cos,u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2)) & m1_subset_1(k16_sin_cos,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2)))) )).
fof(l24_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & r1_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),C,D) & v6_waybel_1(C,A) ) => v6_waybel_1(D,B) ) ) ) ) ) )).
fof(l24_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(A,B),C) => ( r1_xxreal_0(A,C) & r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(l24_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k3_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(l24_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k4_xcmplx_0(B),k4_xcmplx_0(A)) => r1_xxreal_0(A,B) ) ) ) )).
fof(l24_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ~ ( ~ r2_hidden(A,k1_numbers) & A != k1_xxreal_0 & A != k2_xxreal_0 ) ) )).
fof(l24_zf_fund1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ! [C] : ( ~ v1_xboole_0(C) => ~ ( r2_tarski(A,k9_funct_2(B,C)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => A != k2_partfun1(k4_ordinal1,C,k1_partfun1(k4_ordinal1,k1_zf_lang,k1_zf_lang,C,k2_zf_fund1,D),B) ) ) ) ) )).
fof(l24_zfmisc_1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,B) => k3_xboole_0(B,k1_tarski(A)) = k1_tarski(A) ) )).
fof(l25_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(8,k5_margrel1)) => k3_funct_2(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1),A,k3_funct_2(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1),k2_funct_2(k4_finseq_2(8,k5_margrel1),A),B)) = B ) ) )).
fof(l25_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(D,A) & v1_aff_1(E,A) & v1_aff_1(F,A) & r2_tarski(B,k1_aff_4(A,D,E)) & r2_tarski(C,k1_aff_4(A,D,E)) & r2_tarski(B,F) & r2_tarski(C,F) ) => ( B = C | r1_tarski(F,k1_aff_4(A,D,E)) ) ) ) ) ) ) ) ) )).
fof(l25_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k4_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(l25_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k5_numbers),k1_rlvect_1(A,C,k3_xcmplx_0(E,F))),k1_rlvect_1(A,D,k3_xcmplx_0(k4_xcmplx_0(E),G))) = k1_rlvect_1(A,k5_algstr_0(A,k1_rlvect_1(A,C,F),k1_rlvect_1(A,D,G)),E) ) ) ) ) ) ) ) )).
fof(l25_arytm_2,axiom,( ! [A] : ~ ( r2_tarski(A,k1_arytm_2) & A != k11_arytm_3 & ! [B] : ( m1_subset_1(B,k5_arytm_3) => ~ ( r2_tarski(B,A) & B != k11_arytm_3 ) ) ) )).
fof(l25_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_xcmplx_0(k7_series_1(A,B,C),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) = k7_series_1(A,k1_nat_1(B,1),C) ) ) ) )).
fof(l25_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => v1_binop_1(u1_bcialg_4(A),u1_struct_0(A)) ) )).
fof(l25_binop_2,axiom,( r2_hidden(k5_numbers,k4_ordinal1) )).
fof(l25_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => v1_compts_1(k2_borsuk_1(A,B)) ) ) )).
fof(l25_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k4_struct_0(k5_c0sp2(A)) = k4_struct_0(k11_c0sp1(u1_struct_0(A))) ) )).
fof(l25_card_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( A != B => r1_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B))) ) )).
fof(l25_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ( B = C => k2_normsp_0(k5_cc0sp2(A),B) = k2_normsp_0(k7_cc0sp1(u1_struct_0(A)),C) ) ) ) ) )).
fof(l25_collsp,axiom,( m1_collsp(a_0_2_collsp,c7__collsp) )).
fof(l25_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C = k3_xcmplx_0(A,B) => k3_complex1(C) = k5_real_1(k4_real_1(k3_complex1(A),k3_complex1(B)),k4_real_1(k4_complex1(A),k4_complex1(B))) ) ) ) ) )).
fof(l25_compos_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(2,C) & r1_xxreal_0(k6_xcmplx_0(B,1),A) & ~ ( r1_xxreal_0(B,A) & r1_xxreal_0(A,k6_xcmplx_0(k1_nat_1(B,C),3)) ) & A != k6_xcmplx_0(k1_nat_1(B,C),2) & r1_xxreal_0(A,k6_xcmplx_0(k1_nat_1(B,C),2)) & A != k6_xcmplx_0(B,1) ) ) ) ) ) )).
fof(l25_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ! [D] : ( m1_pre_topc(D,A) => ! [E] : ( m1_pre_topc(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) => ( ( k2_xboole_0(k2_struct_0(D),k2_struct_0(E)) = k2_struct_0(A) & k9_subset_1(u1_struct_0(E),k2_struct_0(D),k2_struct_0(E)) = C & v1_compts_1(D) & v1_compts_1(E) & v8_pre_topc(A) & v5_pre_topc(F,D,B) & v5_pre_topc(G,E,B) & r1_partfun1(k2_partfun1(u1_struct_0(D),u1_struct_0(B),F,C),k2_partfun1(u1_struct_0(E),u1_struct_0(B),G,C)) ) => ( v1_funct_1(k1_funct_4(F,G)) & v1_funct_2(k1_funct_4(F,G),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_funct_4(F,G),A,B) & m1_subset_1(k1_funct_4(F,G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(l25_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(k4_subset_1(k3_cqc_lang(A),B,C),k4_subset_1(k3_cqc_lang(A),k1_cqc_the1(A,B),k1_cqc_the1(A,C))) ) ) ) )).
fof(l25_dtconstr,axiom,( r1_tarski(k2_lang1(k5_dtconstr),k6_domain_1(u1_struct_0(k5_dtconstr),c3__dtconstr)) )).
fof(l25_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => k9_nat_1(u1_struct_0(k9_int_3(A)),k4_group_1(k9_int_3(A)),B,1) = B ) ) )).
fof(l25_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l25_fomodel1,axiom,( ? [A] : ( l1_fomodel1(A) & ~ v6_struct_0(A) & v11_fomodel1(A) ) )).
fof(l25_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_funct_2(B,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) => r2_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),B,k4_fomodel4(A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),B))) ) ) )).
fof(l25_funct_9,axiom,( v1_funct_9(k18_sin_cos,k3_xcmplx_0(2,k28_sin_cos)) )).
fof(l25_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ! [G] : ( ( r2_tarski(F,A) & r2_tarski(G,C) ) => k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(C,B,A,k1_fuzzy_4(C,B,E),k1_fuzzy_4(B,A,D),G,F))) = k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,F,G))) ) ) ) ) ) ) )).
fof(l25_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_algstr_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( m2_finseq_2(C,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => k4_fvsum_1(A,B,C,k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B))) = C ) ) ) )).
fof(l25_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_analmetr(A,E,F) => ( r3_analmetr(A,B,D,C,C,E,F) & r3_analmetr(A,C,C,B,D,E,F) ) ) ) ) ) ) ) ) )).
fof(l25_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( k7_glib_000(A) = k1_xboole_0 => v7_glib_000(A) ) ) )).
fof(l25_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_002(B,A) & m1_glib_000(B,A) ) => k25_glib_000(A,B) = k21_glib_000(A,k24_glib_000(A,B)) ) ) )).
fof(l25_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( ( r2_tarski(A,C) & r2_tarski(B,D) ) => ( v1_funct_1(k1_funct_4(E,k17_funcop_1(A,B))) & m1_subset_1(k1_funct_4(E,k17_funcop_1(A,B)),k1_zfmisc_1(k2_zfmisc_1(C,D))) ) ) ) )).
fof(l25_goboard7,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) )).
fof(l25_gr_cy_1,axiom,( ! [A] : ( v7_ordinal1(A) => k5_group_1(k2_gr_cy_1,k5_gr_cy_1(1),A) = A ) )).
fof(l25_graph_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m2_graph_1(C,B) => m2_graph_1(k2_partfun1(k4_ordinal1,u4_struct_0(B),C,k2_finseq_1(A)),B) ) ) ) )).
fof(l25_group_18,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( r2_tarski(C,u1_struct_0(k2_group_7(A,B))) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) ) )).
fof(l25_hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v7_ordinal1(A) => ( k1_funct_1(k6_hilbert4(B),A) = k5_hilbert4(k1_funct_1(B,A)) & k1_funct_1(k7_hilbert4(B),A) = k9_xtuple_0(k5_hilbert4(k1_funct_1(B,A))) ) ) ) )).
fof(l25_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( r2_aff_1(A,B,C,F) => ( r2_tarski(B,F) | ( ~ ( r2_tarski(D,F) & D = E ) & ~ ( ~ r2_tarski(D,F) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(G,F) & r2_tarski(H,F) & r2_analoaf(A,G,B,H,D) & r2_analoaf(A,G,C,H,E) & r2_aff_1(A,D,E,F) ) ) ) ) | ( r2_aff_1(A,C,B,F) & ~ r2_tarski(C,F) & ( ( r2_tarski(E,F) & E = D ) | ( ~ r2_tarski(E,F) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(G,F) & r2_tarski(H,F) & r2_analoaf(A,G,C,H,E) & r2_analoaf(A,G,B,H,D) & r2_aff_1(A,E,D,F) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l25_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( m1_integra1(C,A) => ( C = k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B) => k3_integra1(k2_integra1(A,C,1)) = k5_numbers ) ) ) ) )).
fof(l25_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_tarski(k3_integra5(C,D),k9_xtuple_0(k56_valued_1(k1_numbers,k1_numbers,E))) & r1_integra5(k3_integra5(C,D),k56_valued_1(k1_numbers,k1_numbers,E)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k56_valued_1(k1_numbers,k1_numbers,E),k3_integra5(C,D))) & r1_xxreal_0(k9_complex1(k4_integra5(C,D,E)),k4_integra5(C,D,k56_valued_1(k1_numbers,k1_numbers,E))) ) ) ) ) ) ) ) )).
fof(l25_jgraph_3,axiom,( k22_euclid(2) != k4_struct_0(k15_euclid(2)) )).
fof(l25_jgraph_4,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),k1_jgraph_4(2)) = u1_struct_0(k15_euclid(2)) )).
fof(l25_jgraph_6,axiom,( k12_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = 1 & k12_euclid(k19_euclid(1,k5_numbers)) = 1 & k12_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(1))) = 1 & k12_euclid(k19_euclid(k5_numbers,1)) = 1 )).
fof(l25_lattice7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v18_waybel_0(C,A,B) => v20_waybel_0(C,A,B) ) ) ) ) )).
fof(l25_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,B,C),D),k8_cqc_lang(A,k8_cqc_lang(A,D,B),B)),k4_cqc_the1(A)) ) ) ) ) )).
fof(l25_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_6(D,A,C) => ? [E] : ( m1_vectsp_6(E,A,B) & k1_vectsp_6(A,B,E) = k1_vectsp_6(A,C,D) & k4_vectsp_6(A,B,E) = k4_vectsp_6(A,C,D) & k2_partfun1(u1_struct_0(B),u1_struct_0(A),E,u1_struct_0(C)) = D ) ) ) ) ) )).
fof(l25_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( r1_ordinal1(k4_topgen_1(A),B) => r1_ordinal1(k2_waybel23(A),B) ) ) ) )).
fof(l25_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_mod_3(C,A,B) ) ) ) )).
fof(l25_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v3_modelc_1(A) => k1_funct_1(A,1) = k5_numbers ) ) )).
fof(l25_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v6_modelc_2(A) => k1_funct_1(A,1) = 3 ) ) )).
fof(l25_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r4_msualg_3(A,B,C,D) => r1_msualg_3(A,C,B,k4_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D)) ) ) ) ) ) )).
fof(l25_msualg_7,axiom,( v1_xreal_0(1) )).
fof(l25_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) <=> r1_xxreal_0(A,k6_xcmplx_0(B,1)) ) ) ) )).
fof(l25_ndiff_5,axiom,( v1_xreal_0(1) )).
fof(l25_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( v1_abian(k6_xcmplx_0(B,C)) => ( v1_abian(k2_xcmplx_0(B,C)) & v1_abian(k6_xcmplx_0(k1_newton(B,A),k1_newton(C,A))) & v1_abian(k2_xcmplx_0(k1_newton(B,A),k1_newton(C,A))) ) ) ) ) ) )).
fof(l25_normform,axiom,( ! [A] : v2_binop_1(k5_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) )).
fof(l25_numeral2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(5,A) & v1_int_2(A) & A != 2 & A != 3 ) ) )).
fof(l25_numpoly1,axiom,( ~ r1_xxreal_0(k5_numbers,k6_xcmplx_0(k5_numbers,1)) )).
fof(l25_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(B,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_openlatt(A,D),k10_openlatt(A,C))) <=> ( r2_tarski(D,B) & ~ r2_tarski(C,B) ) ) ) ) ) ) )).
fof(l25_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => m1_subset_1(k9_qc_lang1(A),k1_zfmisc_1(k13_finseq_1(k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))))) ) )).
fof(l25_quaterni,axiom,( k5_numbers = k5_quaterni(k5_numbers,k5_numbers,k5_numbers,k5_numbers) )).
fof(l25_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers))) ) => ( ( ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,B) ) => k1_binop_1(E,G,H) = k1_extreal1(k12_supinf_2(C,k1_tarski(G)),k12_supinf_2(D,k1_tarski(H))) ) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(F,G) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,G,E) ) ) => k12_supinf_2(F,k2_zfmisc_1(A,B)) = 1 ) ) ) ) ) ) ) )).
fof(l25_realset2,axiom,( ! [A] : ( r2_tarski(A,k2_zfmisc_1(k6_subset_1(c4__realset2,k1_tarski(k10_subset_1(k5_numbers,2))),k6_subset_1(c4__realset2,k1_tarski(k10_subset_1(k5_numbers,2))))) => r2_tarski(k1_funct_1(k2_realset2,A),k6_subset_1(c4__realset2,k1_tarski(k10_subset_1(k5_numbers,2)))) ) )).
fof(l25_rfinseq2,axiom,( ! [A] : ( ( v7_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( ( v7_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ! [C] : ( v7_ordinal1(C) => ( ( k3_finseq_1(A) = k1_nat_1(C,1) & k3_finseq_1(A) = k3_finseq_1(B) & r2_classes1(A,B) ) => ( k1_funct_1(A,k3_finseq_1(A)) = k1_funct_1(B,k3_finseq_1(B)) & r2_classes1(k17_finseq_1(k1_numbers,C,A),k17_finseq_1(k1_numbers,C,B)) ) ) ) ) ) )).
fof(l25_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ( m1_rlsub_1(B,D) => m1_rlsub_1(k2_rlsub_2(A,B,C),D) ) ) ) ) ) )).
fof(l25_scmfsa_1,axiom,( r1_tarski(k10_xtuple_0(k4_scmfsa_1),k9_xtuple_0(k5_scmfsa_1)) )).
fof(l25_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( r1_tarski(k4_scmp_gcd,D) & r1_tarski(k4_scmp_gcd,E) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) = 5 & A = k1_funct_1(B,k3_scmp_gcd) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) & k1_funct_1(C,k3_scmp_gcd) = k1_funct_1(B,k3_scmp_gcd) & k1_funct_1(C,k2_scmp_gcd) = k5_numbers & k1_funct_1(C,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)) & k1_funct_1(C,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)) = k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)) ) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)),k5_numbers) | ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_xxreal_0(F,7) & k1_funct_1(B,G) = k1_funct_1(C,G) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,F)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,F),G) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,F),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l25_scmpds_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k9_complex1(B),A),A),1) = k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k9_complex1(B),A),B)) ) ) ) )).
fof(l25_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( k5_compos_0(k1_scmpds_i,A) = k5_numbers => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l25_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => v3_scmyciel(k1_tarski(k1_xboole_0),A) ) )).
fof(l25_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers => ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A),k1_scmp_gcd(1)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),1) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A),k1_scmp_gcd(3)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A),k1_scmp_gcd(4)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A),k1_scmp_gcd(6)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),1) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(7,C) => k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A),k1_scmp_gcd(C)) = k1_funct_1(B,k1_scmp_gcd(C)) ) ) ) ) ) ) )).
fof(l25_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(8,k1_funct_1(B,k1_scmp_gcd(3))) & k1_funct_1(B,k1_scmp_gcd(2)) = C & r1_xxreal_0(8,C) ) => ( r1_scmpds_6(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A) & r2_scmpds_6(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),B,A) ) ) ) ) ) )).
fof(l25_sin_cos9,axiom,( r2_tarski(k7_xcmplx_0(k28_sin_cos,4),k2_rcomp_1(k5_numbers,k28_sin_cos)) )).
fof(l25_sincos10,axiom,( r1_tarski(k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4)),k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l25_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l25_square_1,axiom,( k1_square_1(2) = k3_xcmplx_0(2,2) )).
fof(l25_srings_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( A = a_0_1_srings_2 => v4_srings_1(A,k1_numbers) ) ) )).
fof(l25_topdim_2,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(1)),u1_pre_topc(k15_euclid(1))) = k3_pcomps_1(k14_euclid(1)) )).
fof(l25_topreal2,axiom,( r2_tarski(k19_euclid(1,k5_numbers),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) )).
fof(l25_toprealb,axiom,( v1_funct_1(k18_sin_cos) & v1_funct_2(k18_sin_cos,u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2)) & m1_subset_1(k18_sin_cos,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2)))) )).
fof(l25_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( u1_struct_0(C) = u1_struct_0(D) => ( k2_vectsp_5(A,B,E,C) = k2_vectsp_5(A,B,E,D) & k2_vectsp_5(A,B,C,E) = k2_vectsp_5(A,B,D,E) ) ) ) ) ) ) ) )).
fof(l25_waybel30,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r2_tarski(C,A) & r2_tarski(D,B) ) => k1_funct_1(k13_funct_3(k10_funct_3(A,B),k9_funct_3(A,B)),k4_tarski(C,D)) = k4_tarski(D,C) ) )).
fof(l25_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_pre_topc(B) & v2_waybel19(B) & m1_yellow_9(B,A) ) => r1_ordinal1(k2_waybel23(B),k1_waybel31(A)) ) ) )).
fof(l25_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k4_waybel_0(A,k12_waybel_0(A,k4_subset_1(u1_struct_0(A),B,C)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r1_orders_2(A,k12_lattice3(A,E,k2_yellow_0(A,C)),D) ) ) ) ) ) ) ) )).
fof(l25_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) = k5_xcmplx_0(k3_xcmplx_0(A,B)) ) ) )).
fof(l25_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,k3_xcmplx_0(A,B)) ) ) ) )).
fof(l25_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = C & F = D & ? [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(B,F,E)) & H = G & ~ ( ( v1_altcat_3(G,A,C,D) => v2_altcat_3(H,B,F,E) ) & ( v2_altcat_3(G,A,C,D) => v1_altcat_3(H,B,F,E) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l26_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(D,A) & r2_tarski(B,D) & r2_tarski(C,D) ) => ( B = C | D = k2_aff_1(A,B,C) ) ) ) ) ) ) )).
fof(l26_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_algstr_0)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_algstr_0)) => k6_algstr_0(k8_algstr_0,k6_algstr_0(k8_algstr_0,A,B),C) = k6_algstr_0(k8_algstr_0,A,k6_algstr_0(k8_algstr_0,B,C)) ) ) ) )).
fof(l26_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k5_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(l26_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r2_anproj_1(A,B,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ v9_struct_0(E,A) & ~ v9_struct_0(F,A) & ~ r1_anproj_1(A,E,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => r2_anproj_1(A,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(l26_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(B,C) => k1_arytm_1(A,k1_arytm_1(C,B)) = k1_arytm_1(k7_arytm_2(A,B),C) ) ) ) ) )).
fof(l26_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => ! [C] : ( ( r2_tarski(C,k1_arytm_2) & r2_tarski(A,C) & r3_arytm_3(B,A) ) => r2_tarski(B,C) ) ) ) )).
fof(l26_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(C,1),D) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(C,1),E) & r1_xxreal_0(E,D) ) => r1_xxreal_0(k8_nat_1(k1_numbers,A,E),k8_nat_1(k1_numbers,B,E)) ) ) ) => r1_xxreal_0(k7_series_1(A,D,C),k7_series_1(B,D,C)) ) ) ) ) ) )).
fof(l26_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => v2_binop_1(u1_bcialg_4(A),u1_struct_0(A)) ) )).
fof(l26_binop_2,axiom,( m1_subset_1(k5_numbers,k2_numbers) )).
fof(l26_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_pre_topc(C,A) => m1_pre_topc(k2_borsuk_1(C,B),k2_borsuk_1(A,B)) ) ) ) )).
fof(l26_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k5_struct_0(k5_c0sp2(A)) = k5_struct_0(k11_c0sp1(u1_struct_0(A))) ) )).
fof(l26_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_cc0sp1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_cc0sp1(A))) => ( C = k4_c0sp1(k8_cfuncdom(A),k2_cc0sp1(A)) => ( k6_algstr_0(k7_cc0sp1(A),B,C) = B & k6_algstr_0(k7_cc0sp1(A),C,B) = B ) ) ) ) ) )).
fof(l26_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k1_algstr_0(k5_cc0sp2(A),B,C) = k3_rlvect_1(k7_cc0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l26_classes2,axiom,( ! [A] : ( ( v2_classes1(A) & r2_tarski(k5_numbers,k2_ordinal1(A)) ) => ( r2_tarski(k1_card_1(k4_classes1(k5_numbers)),k1_card_1(A)) & r2_tarski(k4_classes1(k5_numbers),A) ) ) )).
fof(l26_collsp,axiom,( ~ v2_struct_0(g1_collsp(c7__collsp,c8__collsp)) & l1_collsp(g1_collsp(c7__collsp,c8__collsp)) )).
fof(l26_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C = k3_xcmplx_0(A,B) => k4_complex1(C) = k3_real_1(k4_real_1(k3_complex1(A),k4_complex1(B)),k4_real_1(k4_complex1(A),k3_complex1(B))) ) ) ) ) )).
fof(l26_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_numbers))) ) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ~ ( k3_finseq_1(E) = C & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k12_supinf_2(B,G) != k2_supinf_1 ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k2_finseq_1(C)) => ( r1_xxreal_0(k5_numbers,k12_supinf_2(D,G)) & k12_supinf_2(E,G) = k1_extreal1(k12_supinf_2(D,G),k12_supinf_2(B,k7_partfun1(u1_struct_0(A),F,G))) ) ) ) & r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,E)) ) ) ) ) ) ) ) )).
fof(l26_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_diraf(A,B,C,D,E) & r2_diraf(A,B,C,F,G) ) => ( B = C | r2_diraf(A,D,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(l26_dist_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v1_prob_2(A) => v1_prob_2(k5_relat_1(A,B)) ) ) )).
fof(l26_dtconstr,axiom,( k2_lang1(k5_dtconstr) = k6_domain_1(u1_struct_0(k5_dtconstr),c3__dtconstr) )).
fof(l26_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r1_funct_2(u1_struct_0(A),k1_numbers,u1_struct_0(A),k4_ordinal1,B,k8_funcop_1(k4_ordinal1,u1_struct_0(A),k5_numbers)) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_dualsp01(B,A) ) ) ) ) )).
fof(l26_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => k9_nat_1(u1_struct_0(k9_int_3(A)),k4_group_1(k9_int_3(A)),B,2) = k8_group_1(k9_int_3(A),B,B) ) ) )).
fof(l26_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( r2_hidden(D,A) => ( r2_hidden(k4_tarski(D,B),C) <=> k6_eqrel_1(A,A,C,D) = k6_eqrel_1(A,A,C,B) ) ) ) )).
fof(l26_fib_num,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k9_complex1(B),1) => r1_xxreal_0(k9_complex1(k1_newton(B,A)),1) ) ) ) )).
fof(l26_fib_num4,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k3_square_1(5),3),k2_xcmplx_0(k4_xcmplx_0(k3_square_1(5)),3)) )).
fof(l26_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( A = k1_xboole_0 <=> k3_finseq_1(A) = k5_numbers ) ) )).
fof(l26_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k2_xcmplx_0(D,1),k3_finseq_1(C)) => r2_tarski(k1_funct_1(k4_fomodel0(A,B,C),D),A) ) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(D,1),E) => k1_funct_1(k4_fomodel0(A,B,k17_finseq_1(A,E,C)),D) = k1_funct_1(k4_fomodel0(A,B,C),D) ) ) ) ) ) ) ) )).
fof(l26_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l1_fomodel1(A) ) => r2_tarski(k7_fomodel1(A),k6_subset_1(k15_fomodel1(A),k1_tarski(k8_fomodel1(A)))) ) )).
fof(l26_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m2_funct_2(D,k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C)),k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C)))) => ( r2_tarski(B,k1_funct_1(D,A)) => v5_fomodel4(B,1,C,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))),D),A) ) ) ) )).
fof(l26_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) & k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),G) ) ) ) ) ) ) )).
fof(l26_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k16_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(l26_fuznum_1,axiom,( v3_fuznum_1(k5_fuzzy_1(k1_numbers)) )).
fof(l26_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r1_analmetr(A,H,I) => ( ( ~ r1_geomtrap(A,C,F,B,E) & ~ r1_geomtrap(A,B,E,C,F) ) | ( ~ r3_analmetr(A,D,G,B,E,H,I) & ~ r3_analmetr(A,B,E,D,G,H,I) ) | B = E | ( r3_analmetr(A,C,F,D,G,H,I) & r3_analmetr(A,D,G,C,F,H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l26_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_002(B,A) & m1_glib_000(B,A) ) => ! [C] : ( ( v4_glib_002(C,A) & m1_glib_000(C,A) ) => ( k24_glib_000(A,B) = k24_glib_000(A,C) <=> r5_glib_000(B,C) ) ) ) ) )).
fof(l26_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_graph_1(B) & m3_graph_1(B,A) ) => ! [C] : ( ( v1_graph_1(C) & m3_graph_1(C,A) ) => ( ( u1_struct_0(B) = u1_struct_0(C) & u4_struct_0(B) = u4_struct_0(C) ) => B = C ) ) ) ) )).
fof(l26_graph_2,axiom,( v1_graph_2(k2_finseq_4(k4_ordinal1,1,2)) )).
fof(l26_group_10,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k7_group_1(k4_gr_cy_1(A)) = A ) )).
fof(l26_group_18,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(C,u1_struct_0(k2_group_7(A,B))) => ! [D] : ~ ( r2_tarski(D,A) & ! [E] : ( ( ~ v2_struct_0(E) & l3_algstr_0(E) ) => ~ ( E = k1_funct_1(B,D) & r2_tarski(k1_funct_1(C,D),u1_struct_0(E)) ) ) ) ) ) ) ) )).
fof(l26_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => v6_hilbert1(k5_hilbert1(A)) ) )).
fof(l26_hilbert4,axiom,( ! [A] : ( v3_relat_2(k5_hilbert4(A)) & k9_xtuple_0(k5_hilbert4(A)) = k10_xtuple_0(k5_hilbert4(A)) ) )).
fof(l26_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_aff_1(A,B,C,D) => ( r2_tarski(B,D) | ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ~ ( r2_tarski(E,D) & E = F ) & ~ ( ~ r2_tarski(E,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(G,D) & r2_tarski(H,D) & r2_analoaf(A,G,B,H,E) & r2_analoaf(A,G,C,H,F) & r2_aff_1(A,E,F,D) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l26_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_xboole_0(a_2_4_ideal_1(A,B)) & v1_ideal_1(a_2_4_ideal_1(A,B),A) & v2_ideal_1(a_2_4_ideal_1(A,B),A) & v3_ideal_1(a_2_4_ideal_1(A,B),A) & m1_subset_1(a_2_4_ideal_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(l26_int_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ( v1_int_7(B) & v1_int_7(C) & r1_xxreal_0(k8_nat_3(k8_newton,B),k11_newton(2,A)) & k8_nat_3(k8_newton,B) = k8_nat_3(k8_newton,C) ) => r8_pboole(k8_newton,B,C) ) ) ) ) )).
fof(l26_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_integr18(E,k3_integra5(C,D),F) & r1_integra5(k3_integra5(C,D),k4_normsp_0(k1_numbers,E,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k4_normsp_0(k1_numbers,E,F),k3_integra5(C,D))) & r1_xxreal_0(k2_normsp_0(E,k6_integr18(E,F,C,D)),k4_integra5(C,D,k4_normsp_0(k1_numbers,E,F))) ) ) ) ) ) ) ) ) )).
fof(l26_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( m1_integra1(C,A) => ( C = k7_finseq_1(k9_finseq_1(k3_seq_4(A)),B) => k1_integra3(A,C) = k1_integra3(A,B) ) ) ) ) )).
fof(l26_integra8,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l26_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_relset_1(u1_struct_0(k15_euclid(2)),k1_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_numbers,k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,A),k5_pscomp_1)) = u1_struct_0(k1_pre_topc(k15_euclid(2),A)) ) )).
fof(l26_jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr),k1_jgraph_4(2),A)) & v1_funct_2(k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr),k1_jgraph_4(2),A),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & v5_pre_topc(k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr),k1_jgraph_4(2),A),k1_pre_topc(k15_euclid(2),A),k3_topmetr) & m1_subset_1(k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr),k1_jgraph_4(2),A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k1_funct_1(k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr),k1_jgraph_4(2),A),B) = k1_funct_1(k1_jgraph_4(2),B) ) ) ) )).
fof(l26_jgraph_6,axiom,( r2_tarski(k5_numbers,k1_rcomp_1(k5_numbers,1)) )).
fof(l26_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k10_lattice3(A,B,C) <=> ( r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,B,E) & r1_orders_2(A,C,E) ) => r1_orders_2(A,D,E) ) ) ) ) ) ) ) ) )).
fof(l26_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k2_power(k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers,C,E),B)),A) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k2_power(k9_complex1(k6_xcmplx_0(k1_seq_2(C),B)),A) ) ) ) ) ) ) ) ) )).
fof(l26_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,D,B),B),E),k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,B,C),D),E)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l26_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k1_matrix_6(D,k2_vectsp_1,k2_matrtop3(D,A,B,C)) = k2_matrtop3(D,k4_xcmplx_0(A),B,C) ) ) ) ) ) ) )).
fof(l26_modal_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_finset_1(k9_xtuple_0(A)) => v1_finset_1(A) ) ) )).
fof(l26_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_modelc_1(A) => k1_funct_1(A,1) = 1 ) ) )).
fof(l26_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_modelc_2(A) => k1_funct_1(A,1) = 4 ) ) )).
fof(l26_msafree4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k3_finseq_1(A),B) => r2_tarski(k2_xcmplx_0(B,1),k4_finseq_1(A)) ) ) ) )).
fof(l26_msualg_7,axiom,( v1_xreal_0(k7_xcmplx_0(1,2)) )).
fof(l26_nat_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( B = k7_finseq_1(k7_finseq_1(C,k9_finseq_1(k1_funct_1(B,A))),D) & k3_finseq_1(C) = k6_xcmplx_0(A,1) & k3_finseq_1(D) = k6_xcmplx_0(k3_finseq_1(B),A) ) ) ) ) ) ) )).
fof(l26_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,B) = k1_rcomp_1(k5_numbers,1) & k1_relset_1(k1_numbers,C) = k1_rcomp_1(k5_numbers,1) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),B,k1_rcomp_1(k5_numbers,1)),A) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(k5_numbers,1))) & r2_ndiff_3(A,B,k2_rcomp_1(k5_numbers,1)) & r2_fdiff_1(C,k2_rcomp_1(k5_numbers,1)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k2_rcomp_1(k5_numbers,1)) => r1_xxreal_0(k2_normsp_0(A,k1_ndiff_3(A,B,D)),k1_fdiff_1(C,D)) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,1),k7_partfun1(u1_struct_0(A),B,k5_numbers))),k5_real_1(k7_partfun1(k1_numbers,C,1),k7_partfun1(k1_numbers,C,k5_numbers))) ) ) ) ) )).
fof(l26_numeral2,axiom,( ~ v1_int_2(6) & ~ v1_int_2(8) & ~ v1_int_2(9) & ~ v1_int_2(10) & ~ v1_int_2(12) & ~ v1_int_2(14) & ~ v1_int_2(15) & ~ v1_int_2(16) & ~ v1_int_2(18) & ~ v1_int_2(20) & ~ v1_int_2(21) & ~ v1_int_2(22) & ~ v1_int_2(24) & ~ v1_int_2(25) & ~ v1_int_2(26) & ~ v1_int_2(27) & ~ v1_int_2(28) )).
fof(l26_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v8_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l26_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_ordeq_01(B,C))) => ( ( k2_normsp_0(k5_ordeq_01(B,C),D) = k5_numbers => D = k4_struct_0(k5_ordeq_01(B,C)) ) & ( D = k4_struct_0(k5_ordeq_01(B,C)) => k2_normsp_0(k5_ordeq_01(B,C),D) = k5_numbers ) & k2_normsp_0(k5_ordeq_01(B,C),k1_rlvect_1(k5_ordeq_01(B,C),D,A)) = k3_xcmplx_0(k9_complex1(A),k2_normsp_0(k5_ordeq_01(B,C),D)) & r1_xxreal_0(k2_normsp_0(k5_ordeq_01(B,C),k1_algstr_0(k5_ordeq_01(B,C),D,E)),k2_xcmplx_0(k2_normsp_0(k5_ordeq_01(B,C),D),k2_normsp_0(k5_ordeq_01(B,C),E))) ) ) ) ) ) ) )).
fof(l26_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_group_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( ~ r1_xxreal_0(k1_algseq_1(A,B),k5_numbers) & ~ r1_xxreal_0(k1_algseq_1(A,C),k5_numbers) & ~ ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_polynom4(A,k11_polynom3(A,k1_polynom4(A,B),k1_polynom4(A,C)),D) = k6_algstr_0(A,k6_algstr_0(A,k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)),k8_nat_1(u1_struct_0(A),C,k7_nat_d(k1_algseq_1(A,C),1))),k9_nat_1(u1_struct_0(A),k4_group_1(A),D,k7_nat_d(k1_nat_1(k1_algseq_1(A,B),k1_algseq_1(A,C)),2))) ) ) ) ) ) )).
fof(l26_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k2_binom(A,k5_struct_0(A),B) = k5_struct_0(A) ) ) )).
fof(l26_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r1_yellow_2(u1_struct_0(A),B,C,C) ) ) ) )).
fof(l26_prelamb,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => v7_ordinal1(k18_rvsum_1(k8_prelamb(A,B,C))) ) ) ) )).
fof(l26_prvect_3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k12_rvsum_1(k8_finseq_1(k1_numbers,A,B)) = k8_finseq_1(k1_numbers,k12_rvsum_1(A),k12_rvsum_1(B)) ) ) )).
fof(l26_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers))) ) => ( ( ! [G] : ! [H] : ( ( r2_tarski(G,A) & r2_tarski(H,B) ) => k1_binop_1(E,G,H) = k1_extreal1(k12_supinf_2(C,k1_tarski(G)),k12_supinf_2(D,k1_tarski(H))) ) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(F,G) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,G,E) ) ) => ! [G] : ( r1_tarski(G,k2_zfmisc_1(A,B)) => ( r1_xxreal_0(k5_numbers,k12_supinf_2(F,G)) & r1_xxreal_0(k12_supinf_2(F,G),1) ) ) ) ) ) ) ) ) ) )).
fof(l26_realset2,axiom,( m2_subset_1(k10_subset_1(1,2),c4__realset2,k6_subset_1(c4__realset2,k6_domain_1(c4__realset2,c5__realset2))) )).
fof(l26_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => m1_realset1(k2_relset_1(u1_struct_0(B),C),u1_struct_0(B),u2_algstr_0(B)) ) ) ) )).
fof(l26_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ( ( m1_rlsub_1(B,C) & m1_rlsub_1(B,D) ) => m1_rlsub_1(B,k2_rlsub_2(A,C,D)) ) ) ) ) ) )).
fof(l26_scmfsa_1,axiom,( k9_xtuple_0(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1)) = k1_scmfsa_1 )).
fof(l26_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & r1_tarski(k4_scmp_gcd,B) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) = 5 & ~ r1_xxreal_0(k1_funct_1(C,k3_scmp_gcd),k5_numbers) & k1_funct_1(C,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k5_numbers,k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)),k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),2))) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,D) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) & k1_funct_1(D,k3_scmp_gcd) = k1_funct_1(C,k3_scmp_gcd) & k1_funct_1(D,k2_scmp_gcd) = k5_numbers & k1_funct_1(D,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),2)) = k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),2)) & k1_funct_1(D,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)) = k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)) & ! [E] : ( v7_ordinal1(E) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(C,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E),k3_scmp_gcd) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,E)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(D,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,E),k3_scmp_gcd) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k2_xcmplx_0(k1_funct_1(C,k3_scmp_gcd),1)) => ( r1_xxreal_0(F,1) | ( k1_funct_1(C,k1_scmp_gcd(F)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E),k1_scmp_gcd(F)) & k1_funct_1(D,k1_scmp_gcd(F)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,E),k1_scmp_gcd(F)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_xxreal_0(F,E) & k1_funct_1(C,G) = k1_funct_1(D,G) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,F),G) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l26_scmpds_4,axiom,( v2_scmpds_4(k9_compos_1(k1_scmpds_2,k2_compos_1(k1_scmpds_2))) )).
fof(l26_scmpds_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ( ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmpds_2,A,B),k4_struct_0(k1_scmpds_2)) = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,B),1) ) => v2_scmpds_4(k9_compos_1(k1_scmpds_2,A)) ) ) )).
fof(l26_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k7_scmpds_2(A,B,5)) = k1_xboole_0 ) ) )).
fof(l26_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( k5_compos_0(k1_scmpds_i,A) = 14 => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l26_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),7),k1_funct_1(B,k1_scmp_gcd(3))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))))),k11_scmpds_2(k2_scmp_gcd,2,k4_xcmplx_0(1))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))))),k11_scmpds_2(k2_scmp_gcd,2,k4_xcmplx_0(1))),B,A),k1_scmp_gcd(2)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(2)),1) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))))),k11_scmpds_2(k2_scmp_gcd,2,k4_xcmplx_0(1))),B,A),k1_scmp_gcd(3)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))))),k11_scmpds_2(k2_scmp_gcd,2,k4_xcmplx_0(1))),B,A),k1_scmp_gcd(1)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),1) & ! [C] : ( v7_ordinal1(C) => ( C != 2 => k1_funct_1(k6_scmpds_4(k3_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))))),k11_scmpds_2(k2_scmp_gcd,2,k4_xcmplx_0(1))),B,A),k1_scmp_gcd(C)) = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),B,A)),A),k1_scmp_gcd(C)) ) ) ) ) ) ) )).
fof(l26_scpqsort,axiom,( k4_card_1(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))) = 29 )).
fof(l26_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_xboole_0(k4_simplex0(A)) <=> v4_simplex0(A) ) ) )).
fof(l26_sin_cos3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k15_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1))) = k3_xcmplx_0(k23_sin_cos(A),k2_xcmplx_0(k19_sin_cos(B),k3_xcmplx_0(k17_sin_cos(B),k7_complex1))) ) ) )).
fof(l26_sin_cos9,axiom,( r2_tarski(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k2_rcomp_1(k5_numbers,k28_sin_cos)) )).
fof(l26_sincos10,axiom,( r1_tarski(k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos),k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)) )).
fof(l26_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l26_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_finseq_1(C,B) => ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_eqrel_1(D,k3_card_3(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,E) = k3_tarski(a_5_3_srings_1(A,B,C,D,E)) ) ) ) ) ) )).
fof(l26_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) => m2_finseq_1(k7_finseq_1(k7_finseq_1(k12_finseq_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,3,k5_numbers)),k12_finseq_1(k3_qc_lang1(A),B)),C),k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))) ) ) ) )).
fof(l26_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topgen_2(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & r1_tarski(C,B) & k1_card_1(C) = k2_waybel23(A) ) ) ) )).
fof(l26_topreal2,axiom,( r2_tarski(k19_euclid(1,1),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) )).
fof(l26_toprealb,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) ) => ! [B] : ( v1_xreal_0(B) => ( k2_topalg_2 = k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(A,B)))) & k2_topalg_2 = k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(A,B)))) ) ) ) )).
fof(l26_valued_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_membered(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_membered(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k1_relset_1(A,k46_valued_1(A,B,C,D,E)) = A ) ) ) ) )).
fof(l26_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => m1_subset_1(a_2_11_waybel12(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(l26_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ~ ( v2_waybel_8(A) & ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v4_yellow_0(C,k2_yellow_1(B)) & m1_yellow_0(C,k2_yellow_1(B)) ) => ~ ( v7_yellow_0(C,k2_yellow_1(B)) & v4_waybel_0(C,k2_yellow_1(B)) & r5_waybel_1(A,C) ) ) ) ) ) )).
fof(l26_waybel14,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k5_waybel11(A))))) => ( ( C = a_2_5_waybel14(A,B) & D = k7_setfam_1(u1_struct_0(A),C) ) => v1_waybel_0(D,k1_yellow_1(k5_waybel11(A))) ) ) ) ) ) )).
fof(l26_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ~ r1_xxreal_0(B,A) <=> r1_xxreal_0(A,k6_xcmplx_0(B,1)) ) ) ) )).
fof(l26_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k7_xcmplx_0(A,k7_xcmplx_0(B,C)) = k7_xcmplx_0(k3_xcmplx_0(A,C),B) ) ) ) )).
fof(l26_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k4_xcmplx_0(B),k4_xcmplx_0(A)) ) ) ) )).
fof(l26_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(B,A) => m2_xxreal_2(B,k2_tarski(A,B)) ) ) ) )).
fof(l26_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( C = a_2_0_yellow13(A,B) => m1_yellow13(C,A,B) ) ) ) )).
fof(l26_zfmisc_1,axiom,( ! [A] : ! [B] : ( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A) <=> ~ r2_hidden(A,B) ) )).
fof(l27_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(B,A) & r1_tarski(D,k1_aff_4(A,B,C)) ) => r1_tarski(k1_aff_4(A,B,D),k1_aff_4(A,B,C)) ) ) ) ) ) )).
fof(l27_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,k5_struct_0(A)) = D ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k6_algstr_0(A,D,E) = k5_struct_0(A) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,D,E),F) = k6_algstr_0(A,D,k6_algstr_0(A,E,F)) ) ) ) & k6_algstr_0(A,B,C) = k5_struct_0(A) ) => k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) )).
fof(l27_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k6_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(l27_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(C,A) & r1_arytm_2(B,C) ) => k1_arytm_1(A,k1_arytm_1(C,B)) = k7_arytm_2(k1_arytm_1(A,C),B) ) ) ) ) )).
fof(l27_arytm_2,axiom,( ! [A] : ( r2_tarski(A,k1_arytm_2) => ( A = k11_arytm_3 | r2_tarski(k11_arytm_3,A) ) ) )).
fof(l27_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) => ( r1_xxreal_0(k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)),k5_numbers) | r2_tarski(A,k6_asympt_0(B)) ) ) ) ) )).
fof(l27_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => r1_xxreal_0(k2_int_1(k7_xcmplx_0(A,2)),A) ) )).
fof(l27_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & k1_bcialg_1(A,k2_bcialg_6(A,B,C),k2_bcialg_6(A,B,D)) != k2_bcialg_6(A,B,k6_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(l27_binop_2,axiom,( r3_binop_1(k2_numbers,c1__binop_2,k3_binop_2) )).
fof(l27_borsuk_4,axiom,( v1_borsuk_1(k5_topmetr,k3_topmetr) & m1_pre_topc(k5_topmetr,k3_topmetr) )).
fof(l27_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( C = k3_tarski(a_2_0_cat_2(A,B)) & D = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),C) & E = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),C) & F = k1_realset1(u1_cat_1(A),C) ) => ( ~ v2_struct_0(g1_cat_1(B,C,D,E,F)) & ~ v11_struct_0(g1_cat_1(B,C,D,E,F)) & v2_cat_1(g1_cat_1(B,C,D,E,F)) & v3_cat_1(g1_cat_1(B,C,D,E,F)) & v4_cat_1(g1_cat_1(B,C,D,E,F)) & v5_cat_1(g1_cat_1(B,C,D,E,F)) & v6_cat_1(g1_cat_1(B,C,D,E,F)) & l1_cat_1(g1_cat_1(B,C,D,E,F)) ) ) ) ) ) ) ) ) ) )).
fof(l27_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ( C = D => k1_clvect_1(k5_cc0sp2(A),C,B) = k1_clvect_1(k7_cc0sp1(u1_struct_0(A)),D,B) ) ) ) ) ) )).
fof(l27_cfdiff_2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l27_classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( ( v2_classes1(B) & r2_tarski(A,k2_ordinal1(B)) ) => ( r2_tarski(k1_card_1(k4_classes1(A)),k1_card_1(B)) & r2_tarski(k4_classes1(A),B) ) ) => ! [B] : ( ( v2_classes1(B) & r2_tarski(k1_ordinal1(A),k2_ordinal1(B)) ) => ( r2_tarski(k1_card_1(k4_classes1(k1_ordinal1(A))),k1_card_1(B)) & r2_tarski(k4_classes1(k1_ordinal1(A)),B) ) ) ) ) )).
fof(l27_collsp,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c9__collsp)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c9__collsp)) => ! [C] : ( m1_subset_1(C,u1_struct_0(c9__collsp)) => ( r2_tarski(k4_domain_1(u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),A,B,C),c8__collsp) <=> ( ~ ( A != B & B != C & C != A ) & r2_tarski(A,c7__collsp) & r2_tarski(B,c7__collsp) & r2_tarski(C,c7__collsp) ) ) ) ) ) )).
fof(l27_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k2_xcmplx_0(A,B) = k5_arytm_0(k3_real_1(k3_complex1(A),k3_complex1(B)),k3_real_1(k4_complex1(A),k4_complex1(B))) ) ) )).
fof(l27_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v5_qc_lang1(C,A) => k13_cqc_lang(A,C,B) = k16_funcop_1(k9_qc_lang1(A),k21_qc_lang1(A,C),B,C,k15_qc_lang1(A,k21_qc_lang1(A,C),k13_cqc_lang(A,k22_qc_lang1(A,C),B))) ) ) ) ) )).
fof(l27_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( k1_relset_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)) = k2_zfmisc_1(k4_ordinal1,k4_ordinal1) & k1_relset_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k47_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)) = k2_zfmisc_1(k4_ordinal1,k4_ordinal1) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B),C,D) = k2_xcmplx_0(k1_binop_1(A,C,D),k1_binop_1(B,C,D)) ) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k47_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B),C,D) = k6_xcmplx_0(k1_binop_1(A,C,D),k1_binop_1(B,C,D)) ) ) ) ) ) )).
fof(l27_dist_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( v1_prob_2(B) & k9_xtuple_0(B) = k4_finseq_1(C) & A = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k9_xtuple_0(B)) => ( v1_finset_1(k1_funct_1(B,D)) & k1_funct_1(C,D) = k1_card_1(k1_funct_1(B,D)) ) ) ) ) => ( v1_finset_1(k3_card_3(B)) & k1_card_1(k3_card_3(B)) = k16_rvsum_1(C) ) ) ) ) ) )).
fof(l27_dtconstr,axiom,( ~ v1_xboole_0(k4_dtconstr(k5_dtconstr)) & m1_subset_1(k4_dtconstr(k5_dtconstr),k1_zfmisc_1(k5_trees_3(u1_struct_0(k5_dtconstr)))) )).
fof(l27_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r3_fdiff_3(A,C) & r3_fdiff_3(B,C) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,k1_relset_1(k1_numbers,B)) & r2_hidden(E,k1_rcomp_1(C,k2_xcmplx_0(C,D))) & k1_funct_1(B,E) = k5_numbers ) ) ) ) | ( r3_fdiff_3(k3_rfunct_1(k1_numbers,k1_numbers,A,B),C) & k2_fdiff_3(C,k3_rfunct_1(k1_numbers,k1_numbers,A,B)) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k2_fdiff_3(C,A),k1_funct_1(B,C)),k3_xcmplx_0(k2_fdiff_3(C,B),k1_funct_1(A,C))),k1_square_1(k1_funct_1(B,C))) ) ) ) ) ) ) )).
fof(l27_fib_num,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ r1_xxreal_0(1,k9_complex1(k7_xcmplx_0(k2_power(k2_fib_num,A),k3_square_1(5)))) ) )).
fof(l27_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k3_square_1(5),3),2),k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k3_square_1(5)),3),2)) )).
fof(l27_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,B) & m2_finseq_1(C,A) ) => ( v1_funct_1(C) & v1_funct_2(C,k1_finseq_1(B),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(B),A))) ) ) ) ) )).
fof(l27_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_fomodel4(A))) => ! [D] : ~ ( v4_fomodel4(k1_tarski(D),A,B,C) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ v5_fomodel4(D,E,A,B,C) ) ) ) ) ) )).
fof(l27_fuznum_1,axiom,( v3_fuznum_1(k4_fuzzy_1(k1_numbers)) )).
fof(l27_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_002(B,A) & m1_glib_000(B,A) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( r2_tarski(C,k24_glib_000(A,B)) <=> k24_glib_000(A,B) = k1_glib_002(A,C) ) ) ) ) )).
fof(l27_gr_cy_1,axiom,( k2_gr_cy_1 = k5_group_4(k2_gr_cy_1,k6_domain_1(u1_struct_0(k2_gr_cy_1),k5_gr_cy_1(1))) )).
fof(l27_graph_2,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(k2_finseq_4(k4_ordinal1,1,2))) & k1_recdef_1(k2_finseq_4(k4_ordinal1,1,2),A) = k1_recdef_1(k2_finseq_4(k4_ordinal1,1,2),k1_nat_1(A,1)) ) ) )).
fof(l27_heyting1,axiom,( k5_finsub_1(k7_normform(k1_xboole_0)) = k2_tarski(k1_xboole_0,k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0))) )).
fof(l27_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => r1_tarski(k3_heyting3(A,B),k3_heyting3(k1_nat_1(A,1),B)) ) ) )).
fof(l27_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_aff_1(A,B,C,D) => ( r2_tarski(B,D) | ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ~ ( r2_tarski(F,D) & F = E ) & ~ ( ~ r2_tarski(F,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(G,D) & r2_tarski(H,D) & r2_analoaf(A,G,B,H,F) & r2_analoaf(A,G,C,H,E) & r2_aff_1(A,F,E,D) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l27_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( ~ r1_xxreal_0(k1_algseq_1(A,B),k5_numbers) & k1_funct_1(B,k6_xcmplx_0(k1_algseq_1(A,B),1)) = k4_struct_0(A) ) ) ) )).
fof(l27_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(A,k5_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | r2_tarski(k6_xcmplx_0(B,A),k5_card_1(B)) ) ) ) ) )).
fof(l27_integr16,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_relset_1(k1_numbers,k1_numbers,k5_comseq_3(k1_numbers,k2_partfun1(k1_numbers,k2_numbers,A,B)),k2_partfun1(k1_numbers,k1_numbers,k5_comseq_3(k1_numbers,A),B)) & r2_relset_1(k1_numbers,k1_numbers,k6_comseq_3(k1_numbers,k2_partfun1(k1_numbers,k2_numbers,A,B)),k2_partfun1(k1_numbers,k1_numbers,k6_comseq_3(k1_numbers,A),B)) ) ) ) )).
fof(l27_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_tarski(k3_integra5(C,D),k9_xtuple_0(k56_valued_1(k1_numbers,k1_numbers,E))) & r1_integra5(k3_integra5(C,D),k56_valued_1(k1_numbers,k1_numbers,E)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k56_valued_1(k1_numbers,k1_numbers,E),k3_integra5(C,D))) & r1_xxreal_0(k9_complex1(k4_integra5(C,D,E)),k4_integra5(C,D,k56_valued_1(k1_numbers,k1_numbers,E))) ) ) ) ) ) ) ) )).
fof(l27_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_relset_1(u1_struct_0(k15_euclid(2)),k1_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_numbers,k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,A),k4_pscomp_1)) = u1_struct_0(k1_pre_topc(k15_euclid(2),A)) ) )).
fof(l27_jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) => ( ( B = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr),k1_jgraph_4(2),A) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & C = k4_struct_0(k15_euclid(2)) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k3_funct_2(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr),B,C) != k5_numbers ) ) ) ) )).
fof(l27_jgraph_6,axiom,( r2_tarski(1,k1_rcomp_1(k5_numbers,1)) )).
fof(l27_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) ) => ( ( r1_xxreal_0(k1_jordan3(A,C),k1_jordan3(A,B)) & ~ ( k1_jordan3(A,B) = k1_jordan3(A,C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_jordan3(A,B)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,B),1)),B,C) ) ) | B = C | r1_tarski(k3_topreal1(2,k4_jordan3(A,B,C)),k3_topreal1(2,A)) ) ) ) ) ) )).
fof(l27_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(C) & v2_comseq_2(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(k1_numbers,E,F) = k2_xcmplx_0(k2_power(k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers,C,F),B)),A),k8_nat_1(k1_numbers,D,F)) ) => ( v2_comseq_2(E) & k1_seq_2(E) = k2_xcmplx_0(k2_power(k9_complex1(k6_xcmplx_0(k1_seq_2(C),B)),A),k1_seq_2(D)) ) ) ) ) ) ) ) ) ) )).
fof(l27_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( A = k1_relset_1(A,D) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k5_numbers = k1_funct_1(D,E) ) ) ) => ( r2_mesfun6c(A,B,C,D) & k1_mesfun6c(A,B,C,D) = k5_numbers ) ) ) ) ) ) )).
fof(l27_lpspace1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_rfunct_3(C,B,k1_numbers,k3_rfunct_3(B,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,B,k1_numbers,k3_rfunct_3(B,k1_numbers)) => k1_binop_1(k13_rfunct_3(B),k1_binop_1(k4_lpspace1(B),A,C),k1_binop_1(k4_lpspace1(B),A,D)) = k1_binop_1(k4_lpspace1(B),A,k2_lpspace1(B,k1_numbers,k13_rfunct_3(B),C,D)) ) ) ) ) )).
fof(l27_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,C,D),B),k8_cqc_lang(A,k8_cqc_lang(A,C,B),B)),k4_cqc_the1(A)) ) ) ) ) )).
fof(l27_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( r2_tarski(D,A) => k1_funct_1(k2_mboolean(A,k2_pboole(A,B,C)),D) = k3_tarski(k2_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))) ) ) ) )).
fof(l27_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v5_modelc_1(A) => k1_funct_1(A,1) = 2 ) ) )).
fof(l27_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v8_modelc_2(A) => k1_funct_1(A,1) = 5 ) ) )).
fof(l27_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v3_group_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) ) ) )).
fof(l27_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(5,A) & v1_int_2(A) & A != 2 & A != 3 ) ) )).
fof(l27_nat_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( r2_tarski(A,k4_finseq_1(B)) & B = k7_finseq_1(k7_finseq_1(C,k9_finseq_1(E)),D) & k3_finseq_1(C) = k6_xcmplx_0(A,1) ) => k2_finseq_3(A,B) = k7_finseq_1(C,D) ) ) ) ) ) )).
fof(l27_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => k1_lattices(k10_nat_lat,A,B) = k1_lattices(k10_nat_lat,B,A) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k10_nat_lat)) => k1_lattices(k10_nat_lat,A,k1_lattices(k10_nat_lat,B,C)) = k1_lattices(k10_nat_lat,k1_lattices(k10_nat_lat,A,B),C) ) ) ) )).
fof(l27_numeral2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(29,A) & v1_int_2(A) & A != 2 & A != 3 & A != 5 & A != 7 & A != 11 & A != 13 & A != 17 & A != 19 & A != 23 ) ) )).
fof(l27_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v9_o_ring_1(B,A) ) ) ) )).
fof(l27_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_oppcat_1(A))) => ( ( k2_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,B),C) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,k2_oppcat_1(A),k3_oppcat_1(A,B),C) => k1_cat_1(k2_oppcat_1(A),k7_oppcat_1(A,B,B,k4_cat_1(A,B)),D) = D ) ) & ( k2_cat_1(k2_oppcat_1(A),C,k3_oppcat_1(A,B)) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,k2_oppcat_1(A),C,k3_oppcat_1(A,B)) => k1_cat_1(k2_oppcat_1(A),D,k7_oppcat_1(A,B,B,k4_cat_1(A,B))) = D ) ) ) ) ) ) )).
fof(l27_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v4_normsp_0(k5_ordeq_01(A,B)) & v3_normsp_0(k5_ordeq_01(A,B)) & v2_normsp_1(k5_ordeq_01(A,B)) ) ) ) )).
fof(l27_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ( v4_ordinal1(A) => ( A = k1_xboole_0 | ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( ( k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k12_ordinal2(k1_xboole_0,C) ) ) ) => r1_ordinal2(k5_ordinal1,B) ) ) ) ) ) )).
fof(l27_polynom4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_polynom4(A,k11_polynom3(A,k1_polynom4(A,B),k1_polynom4(A,C)),D) = k8_group_1(A,k2_polynom4(A,k1_polynom4(A,B),D),k2_polynom4(A,k1_polynom4(A,C),D)) ) ) ) ) )).
fof(l27_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( ~ r1_xxreal_0(k1_algseq_1(A,B),k5_numbers) & k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)) = k4_struct_0(A) ) ) ) )).
fof(l27_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k4_polynom7(A,B,k4_struct_0(B)),k8_polynom1(A,B)) ) )).
fof(l27_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k8_group_1(A,k2_binom(A,C,B),k2_binom(A,k9_algstr_0(A,C),B)) = k5_struct_0(A) ) ) ) ) )).
fof(l27_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_yellow_2(u1_struct_0(A),B,C,D) & r1_yellow_2(u1_struct_0(A),B,D,E) ) => r1_yellow_2(u1_struct_0(A),B,C,E) ) ) ) ) ) ) )).
fof(l27_realset2,axiom,( v1_funct_1(k1_realset2) & v1_funct_2(k1_realset2,k2_zfmisc_1(c4__realset2,c4__realset2),c4__realset2) & m1_subset_1(k1_realset2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(c4__realset2,c4__realset2),c4__realset2))) )).
fof(l27_rfinseq2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ! [C] : ( ( v7_valued_0(C) & m2_finseq_1(C,k1_numbers) ) => ( ( A = k3_finseq_1(B) & r2_classes1(B,C) ) => B = C ) ) ) ) )).
fof(l27_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ( m1_rlsub_1(B,C) => m1_rlsub_1(B,k1_rlsub_2(A,C,D)) ) ) ) ) ) )).
fof(l27_scm_comp,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_dtconstr(k1_scm_comp),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k1_scm_comp),k4_ordinal1))) & k17_scm_comp(o_0_2_scm_comp) = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,A,o_0_2_scm_comp) & ! [B] : ( m2_subset_1(B,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,A,k3_scm_comp(B)) = k16_scm_comp(B) ) & ! [B] : ( m2_subset_1(B,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_scm_comp)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_scm_comp)) => ( ( E = k1_bintree1(u1_struct_0(k1_scm_comp),C) & F = k1_bintree1(u1_struct_0(k1_scm_comp),D) & r1_lang1(k1_scm_comp,B,k4_pre_poly(u1_struct_0(k1_scm_comp),E,F)) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( G = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,A,C) & H = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,A,D) ) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,A,k2_scm_comp(B,C,D)) = k5_nat_1(G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l27_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(k7_memstr_0(k5_card_1(2),k1_scmpds_2,k5_numbers),C) & r1_tarski(k7_memstr_0(k5_card_1(2),k1_scmpds_2,k5_numbers),D) & r1_tarski(k4_scmp_gcd,A) & r1_tarski(k4_scmp_gcd,B) & k1_funct_1(C,E) = k1_funct_1(D,E) & r1_xxreal_0(F,4) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,F),E) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F),E) ) ) ) ) ) ) ) ) )).
fof(l27_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( C != 5 => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k7_scmpds_2(A,B,C)) = k1_xboole_0 ) ) ) ) )).
fof(l27_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( k5_compos_0(k1_scmpds_i,A) = 1 => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l27_scpinvar,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => r1_tarski(k61_valued_1(A,2),k3_scpinvar(B,C,A)) ) ) ) )).
fof(l27_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),7),k1_funct_1(B,k1_scmp_gcd(3))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( r1_scmpds_6(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),B,A) & r2_scmpds_6(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),B,A) ) ) ) ) )).
fof(l27_scpqsort,axiom,( k4_card_1(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))))) = 31 )).
fof(l27_simplex0,axiom,( ! [A] : ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( ( v3_pre_topc(C,B) & r2_tarski(A,C) ) => r2_tarski(A,k4_simplex0(B)) ) ) ) )).
fof(l27_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( C != k5_numbers & B != k5_numbers & k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,B),k3_xcmplx_0(C,D)),k2_xcmplx_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,D))) != k7_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(D,B)),k2_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(D,B)))) ) ) ) ) ) )).
fof(l27_sin_cos9,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)))) = k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)) )).
fof(l27_sincos10,axiom,( r1_tarski(k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers),k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)) )).
fof(l27_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l27_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(B,C)),D),k2_zfmisc_1(k13_finseq_1(k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))),k1_substut1(A))) ) ) ) ) )).
fof(l27_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_2(I,A,C,D) => ! [J] : ( m1_borsuk_2(J,A,C,D) => ! [K] : ( m1_borsuk_2(K,B,E,F) => ! [L] : ( m1_borsuk_2(L,B,E,F) => ! [M] : ( m1_borsuk_6(M,A,C,D,I,J) => ! [N] : ( m1_borsuk_6(N,B,E,F,K,L) => ( ( r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),I,k3_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),J,k3_topalg_4(A,B,k5_topmetr,H)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),K,k4_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),L,k4_topalg_4(A,B,k5_topmetr,H)) & r3_borsuk_2(A,C,D,I,J) & r3_borsuk_2(B,E,F,K,L) ) => ( v5_pre_topc(k2_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),M,N),k2_borsuk_1(k5_topmetr,k5_topmetr),k2_borsuk_1(A,B)) & ! [O] : ( m1_subset_1(O,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k2_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),M,N),O,k5_numbers) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k2_borsuk_1(A,B)),G,O) & k1_binop_1(k2_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),M,N),O,1) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k2_borsuk_1(A,B)),H,O) & ! [P] : ( m1_subset_1(P,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k2_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),M,N),k5_numbers,P) = k4_borsuk_1(A,B,C,E) & k1_binop_1(k2_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),M,N),1,P) = k4_borsuk_1(A,B,D,F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l27_topreal2,axiom,( r2_tarski(k19_euclid(1,1),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) )).
fof(l27_topreal4,axiom,( k3_pcomps_1(k14_euclid(2)) = g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) )).
fof(l27_topreal7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(k3_pcomps_1(k14_euclid(A)),k3_pcomps_1(k14_euclid(B)))),u1_struct_0(k3_pcomps_1(k14_euclid(k1_nat_1(A,B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_pcomps_1(k14_euclid(A)),k3_pcomps_1(k14_euclid(B)))),u1_struct_0(k3_pcomps_1(k14_euclid(k1_nat_1(A,B))))))) & v3_tops_2(C,k2_borsuk_1(k3_pcomps_1(k14_euclid(A)),k3_pcomps_1(k14_euclid(B))),k3_pcomps_1(k14_euclid(k1_nat_1(A,B)))) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( r2_hidden(k4_tarski(D,E),k1_relset_1(u1_struct_0(k2_borsuk_1(k3_pcomps_1(k14_euclid(A)),k3_pcomps_1(k14_euclid(B)))),C)) => k1_binop_1(C,D,E) = k7_finseq_1(D,E) ) ) ) ) ) ) )).
fof(l27_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(l27_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) => ( ! [E] : ( m1_subset_1(E,B) => v1_waybel_0(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),C,D,E)),A) ) => k5_yellow_2(A,k4_waybel_5(A,D)) = k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),C,D))) ) ) ) ) ) ) )).
fof(l27_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k3_waybel_0(A,k11_waybel_0(A,k4_subset_1(u1_struct_0(A),B,C)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r3_orders_2(A,D,k13_lattice3(A,E,k1_yellow_0(A,C))) ) ) ) ) ) ) ) )).
fof(l27_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ~ r1_xxreal_0(k2_xcmplx_0(B,1),A) <=> r1_xxreal_0(A,B) ) ) ) )).
fof(l27_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B != k5_numbers => k3_xcmplx_0(k7_xcmplx_0(A,B),B) = A ) ) ) )).
fof(l27_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,B) ) => r1_xxreal_0(k3_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(l27_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k2_xcmplx_0(A,B),C) => r1_xxreal_0(A,k6_xcmplx_0(C,B)) ) ) ) ) )).
fof(l27_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( m2_xxreal_2(C,k2_tarski(A,B)) => r1_xxreal_0(C,B) ) ) ) )).
fof(l27_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_yellow13(C,A,B) => ( C = a_2_0_yellow13(A,B) => v1_yellow13(C,A,B) ) ) ) ) )).
fof(l27_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => v1_yellow_0(k1_yellow_1(u1_pre_topc(A))) ) )).
fof(l27_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k33_zmodul02(A,B)))) ) ) )).
fof(l28_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,C,k5_struct_0(A)) = C ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,C,D) = k5_struct_0(A) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,C,D),E) = k6_algstr_0(A,C,k6_algstr_0(A,D,E)) ) ) ) ) => k6_algstr_0(A,k5_struct_0(A),B) = k6_algstr_0(A,B,k5_struct_0(A)) ) ) ) )).
fof(l28_altcat_2,axiom,( ! [A] : ( ( v6_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( v6_altcat_1(B) & l2_altcat_1(B) ) => ( ( v1_xboole_0(u1_struct_0(A)) & v1_xboole_0(u1_struct_0(B)) ) => A = B ) ) ) )).
fof(l28_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v2_extpro_1(k7_ami_3(A),k5_card_1(2),k1_ami_3) ) )).
fof(l28_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ! [M] : ( v1_xreal_0(M) => k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),K),k1_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,C,G),k1_rlvect_1(A,D,H)),L)),k1_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,I),k1_rlvect_1(A,D,J)),M)) = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k2_xcmplx_0(k3_xcmplx_0(K,E),k3_xcmplx_0(M,I))),k1_rlvect_1(A,C,k2_xcmplx_0(k3_xcmplx_0(K,F),k3_xcmplx_0(L,G)))),k1_rlvect_1(A,D,k2_xcmplx_0(k3_xcmplx_0(L,H),k3_xcmplx_0(M,J)))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l28_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(A,C) & r1_arytm_2(B,C) ) => k1_arytm_1(A,k1_arytm_1(C,B)) = k1_arytm_1(B,k1_arytm_1(C,A)) ) ) ) ) )).
fof(l28_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ~ ( r2_tarski(B,k7_subset_1(k1_zfmisc_1(k5_arytm_3),k1_arytm_2,a_0_1_arytm_2)) & ~ r2_tarski(A,B) & B != k11_arytm_3 & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ~ ( ~ r2_tarski(C,B) & ~ r3_arytm_3(A,C) ) ) ) ) )).
fof(l28_arytm_3,axiom,( k5_ordinal1 = k1_xboole_0 )).
fof(l28_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(D,k5_numbers) => k8_nat_1(k1_numbers,A,D) = B ) ) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k7_series_1(A,C,D) = k3_xcmplx_0(B,k6_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(l28_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v10_bcialg_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bcialg_1(A,C,B) => C = B ) ) ) ) ) )).
fof(l28_binop_2,axiom,( r3_binop_1(k1_numbers,k10_subset_1(k5_numbers,k1_numbers),k9_binop_2) )).
fof(l28_borsuk_7,axiom,( r1_zfmisc_1(1,2,3) )).
fof(l28_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k7_bspace(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_bspace(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_bspace(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) => ( ( B = E & C = F & D = G ) => ( k1_algstr_0(k7_bspace(A),B,k1_algstr_0(k7_bspace(A),C,D)) = k5_subset_1(A,E,k5_subset_1(A,F,G)) & k1_algstr_0(k7_bspace(A),k1_algstr_0(k7_bspace(A),B,C),D) = k5_subset_1(A,k5_subset_1(A,E,F),G) ) ) ) ) ) ) ) ) )).
fof(l28_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( C = k3_tarski(a_2_0_cat_2(A,B)) & D = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),C) & E = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),C) & F = k1_realset1(u1_cat_1(A),C) ) => m3_cat_2(g1_cat_1(B,C,D,E,F),A) ) ) ) ) ) ) ) ) )).
fof(l28_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k6_algstr_0(k5_cc0sp2(A),B,C) = k6_algstr_0(k7_cc0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l28_classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ! [C] : ( ( v2_classes1(C) & r2_tarski(B,k2_ordinal1(C)) ) => ( r2_tarski(k1_card_1(k4_classes1(B)),k1_card_1(C)) & r2_tarski(k4_classes1(B),C) ) ) ) ) ) => ( A = k5_numbers | ! [B] : ( ( v2_classes1(B) & r2_tarski(A,k2_ordinal1(B)) ) => ( r2_tarski(k1_card_1(k4_classes1(A)),k1_card_1(B)) & r2_tarski(k4_classes1(A),B) ) ) ) ) ) )).
fof(l28_collsp,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c9__collsp)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c9__collsp)) => ! [C] : ( m1_subset_1(C,u1_struct_0(c9__collsp)) => ! [D] : ( m1_subset_1(D,u1_struct_0(c9__collsp)) => ! [E] : ( m1_subset_1(E,u1_struct_0(c9__collsp)) => ! [F] : ( m1_subset_1(F,u1_struct_0(c9__collsp)) => ( ( r2_tarski(k4_domain_1(u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),A,B,D),u1_collsp(c9__collsp)) & r2_tarski(k4_domain_1(u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),A,B,E),u1_collsp(c9__collsp)) & r2_tarski(k4_domain_1(u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),A,B,F),u1_collsp(c9__collsp)) ) => ( A = B | r2_tarski(k4_domain_1(u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),u1_struct_0(c9__collsp),D,E,F),u1_collsp(c9__collsp)) ) ) ) ) ) ) ) ) )).
fof(l28_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(A,B) = k5_arytm_0(k5_real_1(k4_real_1(k3_complex1(A),k3_complex1(B)),k4_real_1(k4_complex1(A),k4_complex1(B))),k3_real_1(k4_real_1(k3_complex1(A),k4_complex1(B)),k4_real_1(k3_complex1(B),k4_complex1(A)))) ) ) )).
fof(l28_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( l2_conlat_1(B,A) => ~ ( k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),u2_conlat_1(A,B)) = u3_conlat_1(A,B) & v4_conlat_1(B,A) ) ) ) )).
fof(l28_convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_1(A),k4_finseq_1(A)) & v3_funct_2(B,k4_finseq_1(A),k4_finseq_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A),k4_finseq_1(A)))) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(A)) => ( r2_tarski(D,k2_finseq_1(C)) <=> k12_supinf_2(A,k12_supinf_2(B,D)) != k5_numbers ) ) ) ) ) ) )).
fof(l28_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(k4_tarski(k1_domain_1(A,A,B,C),D),k7_ens_1(A,B,C)) => ( ( C = k1_xboole_0 => B = k1_xboole_0 ) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) ) ) ) ) )).
fof(l28_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_enumset1(E,F,G)) )).
fof(l28_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k5_algstr_0(A,k5_algstr_0(A,B,D),k5_algstr_0(A,C,D)) = k5_algstr_0(A,B,C) & k5_algstr_0(A,k3_rlvect_1(A,B,D),k3_rlvect_1(A,C,D)) = k5_algstr_0(A,B,C) ) ) ) ) ) )).
fof(l28_fib_num4,axiom,( ~ r1_xxreal_0(k1_square_1(k1_fib_num),k1_square_1(k2_fib_num)) )).
fof(l28_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ( r1_tarski(B,k1_fomodel4(C)) => r1_tarski(k1_funct_1(k5_fomodel4(C,D,A),B),k5_setfam_1(k1_fomodel4(C),k7_relset_1(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C)),k13_lang1(k9_setfam_1(k1_fomodel4(C)),k4_fomodel4(C,D)),k1_tarski(B)))) ) ) ) ) )).
fof(l28_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(A,C),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & ? [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) & ? [E] : ( m1_subset_1(E,k5_margrel1) & ? [F] : ( m1_subset_1(F,k5_margrel1) & ? [G] : ( m1_subset_1(G,k5_margrel1) & E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) & ~ ( k11_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k6_fscirc_1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),F),k9_margrel1(F,G)),k9_margrel1(k8_margrel1(E),G)) & k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) & k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),G) ) ) ) ) ) ) )).
fof(l28_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k18_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(l28_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ! [B] : ( ( v1_xcmplx_0(B) & v1_gaussint(B) ) => ! [C] : ( ( v1_xcmplx_0(C) & v1_gaussint(C) ) => ! [D] : ( ( v1_xcmplx_0(D) & v1_gaussint(D) ) => ! [E] : ( m2_subset_1(E,k2_zfmisc_1(u1_struct_0(k6_gaussint),u1_struct_0(k6_gaussint)),k1_quofield(k6_gaussint)) => ! [F] : ( m2_subset_1(F,k2_zfmisc_1(u1_struct_0(k6_gaussint),u1_struct_0(k6_gaussint)),k1_quofield(k6_gaussint)) => ( ( E = k4_tarski(A,B) & F = k4_tarski(C,D) ) => ( B = k5_numbers | D = k5_numbers | ( k7_xcmplx_0(A,B) = k7_xcmplx_0(C,D) <=> k10_quofield(k6_gaussint,E) = k10_quofield(k6_gaussint,F) ) ) ) ) ) ) ) ) ) )).
fof(l28_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_002(B,A) & m1_glib_000(B,A) ) => ! [C] : ( ( v4_glib_002(C,A) & m1_glib_000(C,A) ) => ! [D] : ( ( r2_tarski(D,k24_glib_000(A,B)) & r2_tarski(D,k24_glib_000(A,C)) ) => r5_glib_000(B,C) ) ) ) ) )).
fof(l28_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m3_graph_1(B,A) => ( r2_tarski(u1_graph_1(B),k4_partfun1(u4_struct_0(A),u1_struct_0(A))) & r2_tarski(u2_graph_1(B),k4_partfun1(u4_struct_0(A),u1_struct_0(A))) ) ) ) )).
fof(l28_graph_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_nat_1(C,1)) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ( k2_xcmplx_0(k3_finseq_1(k1_graph_2(A,B,C)),B) = k1_nat_1(C,1) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(k1_graph_2(A,B,C)),D) => k1_funct_1(k1_graph_2(A,B,C),k1_nat_1(D,1)) = k1_funct_1(A,k2_xcmplx_0(B,D)) ) ) ) ) ) ) ) )).
fof(l28_graphsp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_funct_2(A,A)) => k9_xtuple_0(B) = A ) )).
fof(l28_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => r1_group_2(B,k3_group_6(A,k7_group_2(A),B),k7_group_2(B)) ) ) )).
fof(l28_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,B,C) = k8_group_1(A,C,B) ) ) ) )).
fof(l28_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,A) & l1_group_9(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v7_group_9(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(F,C,D) & v7_group_9(F,A,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),E,F)) & v1_funct_2(k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),E,F),u1_struct_0(B),u1_struct_0(D)) & v1_group_6(k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),E,F),B,D) & v7_group_9(k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),E,F),A,B,D) & m1_subset_1(k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) ) ) ) ) ) )).
fof(l28_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => k5_struct_0(k9_int_3(A)) = 1 ) ) )).
fof(l28_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_numbers)) => r2_relset_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k2_partfun1(k1_numbers,k1_euclid(A),C,E),k1_pdiff_1(D,A)),k2_partfun1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),E)) ) ) ) ) ) )).
fof(l28_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v5_rlvect_1(F) & v6_rlvect_1(F) & v7_rlvect_1(F) & v8_rlvect_1(F) & v3_normsp_0(F) & v4_normsp_0(F) & v2_normsp_1(F) & v3_lopban_1(F) & l1_normsp_1(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(F)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k6_integr18(F,k4_vfunct_1(k1_numbers,F,G,E),C,D) = k1_rlvect_1(F,k6_integr18(F,G,C,D),E) ) ) ) ) ) ) ) ) )).
fof(l28_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => r1_xxreal_0(k9_complex1(k4_integra5(D,C,E)),k4_integra5(C,D,k56_valued_1(k1_numbers,k1_numbers,E))) ) ) ) ) ) ) )).
fof(l28_jgraph_3,axiom,( k8_struct_0(k15_euclid(2)) != k1_xboole_0 )).
fof(l28_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v7_ordinal1(D) => ( ( v4_topreal1(A) & v4_pre_topc(B,k15_euclid(2)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r2_tarski(C,k2_topreal1(2,A,D)) & r2_tarski(C,B) ) => ( r1_xboole_0(k2_topreal1(2,A,D),B) | r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,D),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)),k1_jordan5c(k2_topreal1(2,A,D),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,D),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1))),C) ) ) ) ) ) ) )).
fof(l28_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k11_lattice3(A,B,C) <=> ( r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,E,B) & r1_orders_2(A,E,C) ) => r1_orders_2(A,E,D) ) ) ) ) ) ) ) ) )).
fof(l28_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k3_lattice2(u1_struct_0(A),A,k1_setwiseo(u1_struct_0(A)),B) = k6_lattices(A) ) ) )).
fof(l28_lp_space,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,A,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_series_1(k1_numbers,A,B),B)) ) ) )).
fof(l28_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k6_rusub_4(A,k3_mathmorp(A,B,C),C),B) ) ) ) )).
fof(l28_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => k1_wsierp_1(k11_matrixj1(A,k4_matrixj1(A,B))) = k1_matrix_0(B) ) ) )).
fof(l28_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( r2_tarski(D,A) => k1_funct_1(k2_mboolean(A,k3_pboole(A,B,C)),D) = k3_tarski(k3_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))) ) ) ) )).
fof(l28_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,J)),k1_rlvect_1(k15_euclid(2),C,J)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,K)),k1_rlvect_1(k15_euclid(2),A,K)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,L)),k1_rlvect_1(k15_euclid(2),B,L)) & r2_rltopsp1(k15_euclid(2),A,D,H,I) & r2_rltopsp1(k15_euclid(2),B,E,G,I) & r2_rltopsp1(k15_euclid(2),C,F,G,H) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | J = 1 | K = 1 | L = 1 | ( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(J,k6_xcmplx_0(1,J)),k7_xcmplx_0(K,k6_xcmplx_0(1,K))),k7_xcmplx_0(L,k6_xcmplx_0(1,L))) = 1 <=> r1_rltopsp1(k15_euclid(2),G,H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l28_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v6_modelc_1(A) => k1_funct_1(A,1) = 3 ) ) )).
fof(l28_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v2_modelc_2(A) => ( k1_funct_1(A,1) != k5_numbers & k1_funct_1(A,1) != 1 & k1_funct_1(A,1) != 2 & k1_funct_1(A,1) != 3 & k1_funct_1(A,1) != 4 & k1_funct_1(A,1) != 5 ) ) ) )).
fof(l28_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(C,A) => v3_pre_topc(k7_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(l28_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(25,A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( ~ r1_xxreal_0(B,1) & r1_xxreal_0(k2_nat_1(B,B),A) & v1_int_2(B) & B != 2 & B != 3 ) ) ) ) )).
fof(l28_nat_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( r1_xxreal_0(1,k3_finseq_1(A)) => ( A = k7_finseq_1(k9_finseq_1(k1_funct_1(A,1)),k2_finseq_3(1,A)) & A = k7_finseq_1(k2_finseq_3(k3_finseq_1(A),A),k9_finseq_1(k1_funct_1(A,k3_finseq_1(A)))) ) ) ) )).
fof(l28_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => k1_lattices(k10_nat_lat,k2_lattices(k10_nat_lat,A,B),B) = B ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => k2_lattices(k10_nat_lat,A,B) = k2_lattices(k10_nat_lat,B,A) ) ) )).
fof(l28_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => ~ ( A = k5_int_1(B,C) & C != k5_numbers & ! [D] : ( m1_subset_1(D,k4_numbers) => A != k2_xcmplx_0(B,k3_xcmplx_0(D,C)) ) ) ) ) ) )).
fof(l28_numeral2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(841,A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( ~ r1_xxreal_0(B,1) & r1_xxreal_0(k2_nat_1(B,B),A) & v1_int_2(B) & B != 2 & B != 3 & B != 5 & B != 7 & B != 11 & B != 13 & B != 17 & B != 19 & B != 23 ) ) ) ) )).
fof(l28_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v8_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l28_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k5_ordeq_01(A,B)) & v13_algstr_0(k5_ordeq_01(A,B)) & v2_rlvect_1(k5_ordeq_01(A,B)) & v3_rlvect_1(k5_ordeq_01(A,B)) & v4_rlvect_1(k5_ordeq_01(A,B)) & v5_rlvect_1(k5_ordeq_01(A,B)) & v6_rlvect_1(k5_ordeq_01(A,B)) & v7_rlvect_1(k5_ordeq_01(A,B)) & v8_rlvect_1(k5_ordeq_01(A,B)) & v3_normsp_0(k5_ordeq_01(A,B)) & v4_normsp_0(k5_ordeq_01(A,B)) & v2_normsp_1(k5_ordeq_01(A,B)) & l1_normsp_1(k5_ordeq_01(A,B)) ) ) ) )).
fof(l28_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v6_relat_2(A) => v6_relat_2(k2_relat_1(A)) ) ) )).
fof(l28_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ( A != k1_xboole_0 => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( ( k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k12_ordinal2(1,C) ) ) ) => r1_ordinal2(1,B) ) ) ) ) )).
fof(l28_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_yellow_2(u1_struct_0(A),B,C,D) & r1_yellow_2(u1_struct_0(A),B,D,C) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) ) ) ) ) ) )).
fof(l28_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,F) & ~ r1_incsp_1(A,C,G) & ~ r1_incsp_1(A,B,H) & ~ r1_incsp_1(A,C,H) & r1_incsp_1(A,D,F) & r1_incsp_1(A,D,H) & B != C & r1_incsp_1(A,B,I) & r1_incsp_1(A,C,I) & r1_incsp_1(A,E,I) & ~ r1_incsp_1(A,E,F) & E != C & ~ r1_projred2(A,F,G,H) & ~ r1_projred2(A,G,H,I) & ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ~ ( r1_incsp_1(A,D,J) & ~ r1_incsp_1(A,C,J) & ~ r1_incsp_1(A,E,J) & k3_relat_1(k1_projred1(A,F,H,B),k1_projred1(A,H,G,C)) = k3_relat_1(k1_projred1(A,F,J,E),k1_projred1(A,J,G,C)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l28_qc_lang4,axiom,( ! [A] : ! [B] : k4_finseq_1(k10_finseq_1(A,B)) = k2_finseq_1(2) )).
fof(l28_realset2,axiom,( v1_funct_1(k2_realset2) & v1_funct_2(k2_realset2,k2_zfmisc_1(c4__realset2,c4__realset2),c4__realset2) & m1_subset_1(k2_realset2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(c4__realset2,c4__realset2),c4__realset2))) )).
fof(l28_rfinseq,axiom,( ! [A] : ( ( v8_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ! [C] : ( v7_ordinal1(C) => ( ( k3_finseq_1(A) = k1_nat_1(C,1) & k3_finseq_1(A) = k3_finseq_1(B) & r2_classes1(A,B) ) => ( k1_funct_1(A,k3_finseq_1(A)) = k1_funct_1(B,k3_finseq_1(B)) & r2_classes1(k17_finseq_1(k1_numbers,C,A),k17_finseq_1(k1_numbers,C,B)) ) ) ) ) ) )).
fof(l28_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_ring_2(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_ring_2(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( D = F & E = G ) => ( k1_algstr_0(k4_ring_2(A,B,C),D,E) = k3_rlvect_1(B,F,G) & k6_algstr_0(k4_ring_2(A,B,C),D,E) = k6_algstr_0(B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(l28_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => r1_tarski(u1_struct_0(k2_rlsub_2(A,B,C)),u1_struct_0(k1_rlsub_2(A,B,C))) ) ) ) )).
fof(l28_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ( ( m1_rlsub_1(B,D) & m1_rlsub_1(C,D) ) => m1_rlsub_1(k1_rlsub_2(A,B,C),D) ) ) ) ) ) )).
fof(l28_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_numbers) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(C) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => k7_partfun1(u1_struct_0(A),D,F) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),C,F),k1_funct_1(E,F)) ) ) ) => r2_tarski(k4_rlvect_1(A,D),k2_rlvect_x(A,B)) ) ) ) ) ) ) )).
fof(l28_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => r1_tarski(u1_struct_0(k2_rusub_2(A,B,C)),u1_struct_0(k1_rusub_2(A,B,C))) ) ) ) )).
fof(l28_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r5_scmfsa7b(C,A,B) => ( r1_scmfsa8a(A,B,k1_scmfsa6a(C)) & k2_scmfsa8a(A,B,k1_scmfsa6a(C)) = k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A)),1) ) ) ) ) ) )).
fof(l28_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_compos_1(D,k1_scmpds_2) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_scmpds_4(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(F,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_scmpds_6(D,F,A) & r2_scmpds_6(D,F,A) & r1_scmpds_6(E,k6_scmpds_4(D,F,A),A) & r2_scmpds_6(E,k6_scmpds_4(D,F,A),A) & C = k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(D,E))) & B = k1_funct_4(A,k10_compos_1(k1_scmpds_2,D)) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,F,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,F))) = k4_card_1(D) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,F,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,F))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,F)))) & r1_tarski(k61_valued_1(k10_compos_1(k1_scmpds_2,E),k4_card_1(D)),C) & k8_extpro_1(k5_card_1(2),k1_scmpds_2,C,F) = k2_xcmplx_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,F),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_extpro_1(k5_card_1(2),k1_scmpds_2,B,F)))) ) ) ) ) ) ) ) ) )).
fof(l28_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k8_scmpds_2(A,B,5)) = k1_xboole_0 ) ) )).
fof(l28_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ( k5_compos_0(k1_scmpds_i,A) = 2 | k5_compos_0(k1_scmpds_i,A) = 3 ) => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l28_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),7),k1_funct_1(B,k1_scmp_gcd(3))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(2)),k5_numbers) | k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),B,A) = k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scmpds_4(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))))),k11_scmpds_2(k2_scmp_gcd,2,k4_xcmplx_0(1))),B,A)),A) ) ) ) ) )).
fof(l28_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) & v3_compos_1(F,k1_scmfsa_2) & v4_compos_1(F,k1_scmfsa_2) & v5_amistd_1(F,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(F) ) => ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 => ( ( ~ r1_sfmastr3(E,B,C,D,F,A) & ~ v6_amistd_1(F,k5_card_1(3),k1_scmfsa_2) ) | ( r3_scmfsa9a(E,k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),D),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),C)),k7_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(B,C)),A,E),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),k4_scmfsa6a(k4_scmfsa6a(F,k7_scmfsa_2(B,k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),k4_scmfsa_2(k5_numbers)))) & r4_scmfsa9a(E,k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),D),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),C)),k7_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(B,C)),A,E),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),k4_scmfsa6a(k4_scmfsa6a(F,k7_scmfsa_2(B,k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F))),k4_scmfsa_2(k5_numbers)))) ) ) ) ) ) ) ) ) ) )).
fof(l28_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => r1_tarski(B,k4_simplex0(A)) ) ) ) )).
fof(l28_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k5_sin_cos2,k2_xcmplx_0(A,B)) = k7_xcmplx_0(k2_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)),k2_xcmplx_0(1,k3_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)))) ) ) )).
fof(l28_sin_cos9,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)))) = k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)) )).
fof(l28_sincos10,axiom,( r1_tarski(k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers),k1_relset_1(k1_numbers,k2_fdiff_9)) )).
fof(l28_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => v1_finset_1(a_2_0_sppol_1(A,B)) ) ) )).
fof(l28_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => v2_topreal1(k2_finseq_4(u1_struct_0(k15_euclid(2)),A,B)) ) ) )).
fof(l28_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l28_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_nat_lat,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,B))) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k6_nat_lat) => ! [E] : ~ ( r2_tarski(E,k3_funct_2(k6_nat_lat,B,C,D)) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k6_nat_lat) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(F,D) & G = k3_xxreal_3(F,1) & r2_tarski(E,k6_subset_1(k3_funct_2(k6_nat_lat,B,C,F),k3_card_3(k5_relset_1(k6_nat_lat,B,C,k2_finseq_1(G))))) ) ) ) ) ) ) ) )).
fof(l28_srings_2,axiom,( k3_xboole_0(k2_enumset1(1,2,3,4),k1_enumset1(1,2,3)) = k1_enumset1(1,2,3) )).
fof(l28_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ~ ( r2_tarski(E,k4_substlat(A,B,C,D)) & ! [F] : ~ ( r2_tarski(F,D) & r1_tarski(F,E) ) ) ) ) )).
fof(l28_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m1_subset_1(E,k1_substut1(A)) => r2_hidden(k4_tarski(k7_finseq_1(k12_finseq_1(k8_qc_lang1(A,B),C),D),E),k2_zfmisc_1(k13_finseq_1(k2_zfmisc_1(k4_ordinal1,k1_qc_lang1(A))),k1_substut1(A))) ) ) ) ) ) )).
fof(l28_taxonom1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v3_xxreal_0(C) & v1_xreal_0(C) ) => ! [D] : ( ( ~ v3_xxreal_0(D) & v1_xreal_0(D) ) => ( r1_xxreal_0(C,D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ! [F] : ( ( v1_partfun1(F,B) & v3_relat_2(F) & v8_relat_2(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [G] : ( ( v1_partfun1(G,B) & v3_relat_2(G) & v8_relat_2(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( ( r2_relset_1(B,B,F,k13_lang1(B,k1_taxonom1(B,E,C))) & r2_relset_1(B,B,G,k13_lang1(B,k1_taxonom1(B,E,D))) ) => r1_tarski(k6_eqrel_1(B,B,F,A),k6_eqrel_1(B,B,G,A)) ) ) ) ) ) ) ) ) )).
fof(l28_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_topdim_1(k1_pre_topc(A,B)) & k4_topdim_1(k1_pre_topc(A,B)) = k2_topdim_1(A,B) ) ) ) )).
fof(l28_topdim_2,axiom,( v3_topdim_1(k15_euclid(k5_numbers)) & k4_topdim_1(k15_euclid(k5_numbers)) = k5_numbers )).
fof(l28_topreal2,axiom,( r2_tarski(k19_euclid(k5_numbers,k5_numbers),a_0_0_topreal2) )).
fof(l28_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( C = a_3_4_topreal9(A,B,D) => v1_convex1(C,k15_euclid(A)) ) ) ) ) ) )).
fof(l28_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) => ( v2_rlvect_1(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B)) & v3_rlvect_1(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B)) & v4_rlvect_1(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B)) & v13_algstr_0(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B)) ) ) ) )).
fof(l28_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ~ ( ? [B] : ( ~ v1_xboole_0(B) & ? [C] : ( v4_yellow_0(C,k2_yellow_1(B)) & m1_yellow_0(C,k2_yellow_1(B)) & v7_yellow_0(C,k2_yellow_1(B)) & v4_waybel_0(C,k2_yellow_1(B)) & r5_waybel_1(A,C) ) ) & ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))) & v7_waybel_1(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))))) ) => ~ ( v22_waybel_0(C,k2_yellow_1(B),k2_yellow_1(B)) & r5_waybel_1(A,k1_yellow_2(k2_yellow_1(B),k2_yellow_1(B),C)) ) ) ) ) ) )).
fof(l28_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(D,A,B) => r3_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k2_yellow_0(A,C)),k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C))) ) ) ) ) ) )).
fof(l28_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => r1_ordinal1(k1_waybel31(A),k2_waybel23(B)) ) ) )).
fof(l28_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( B = k7_finseq_1(k7_finseq_1(C,k9_finseq_1(k1_funct_1(B,A))),D) & k3_finseq_1(C) = k6_xcmplx_0(A,1) & k3_finseq_1(D) = k6_xcmplx_0(k3_finseq_1(B),A) ) ) ) ) ) ) )).
fof(l28_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_xcmplx_0(1,A) = k5_xcmplx_0(A) ) )).
fof(l28_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,k6_xcmplx_0(B,C)) => r1_xxreal_0(k2_xcmplx_0(A,C),B) ) ) ) ) )).
fof(l28_zfmisc_1,axiom,( ! [A] : ! [B] : ( k4_xboole_0(k1_tarski(A),B) = k1_xboole_0 <=> r2_hidden(A,B) ) )).
fof(l28_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( k3_xboole_0(k13_zmodul02(A,B,D),k13_zmodul02(A,B,C)) != k1_xboole_0 => k13_zmodul02(A,B,D) = k13_zmodul02(A,B,C) ) ) ) ) ) )).
fof(l29_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k6_algstr_0(A,B,C) = k5_struct_0(A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k6_algstr_0(A,C,B) = k5_struct_0(A) ) ) ) ) )).
fof(l29_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ~ v2_extpro_1(k8_ami_3(B,A),k5_card_1(2),k1_ami_3) ) ) )).
fof(l29_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( k1_rlvect_1(A,B,D) = C => ( D = k5_numbers | r1_anproj_1(A,B,C) ) ) ) ) ) ) )).
fof(l29_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ( r2_tarski(k3_arytm_2(A),a_0_1_arytm_2) => r2_tarski(A,k5_arytm_3) ) ) )).
fof(l29_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => v1_bcialg_2(k4_struct_0(A),A) ) )).
fof(l29_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k1_binari_3(k2_xcmplx_0(A,1),k5_series_1(2,A)) = k7_finseq_1(k5_euclid(A),k10_binarith(k5_margrel1,k7_margrel1)) ) )).
fof(l29_binop_2,axiom,( m1_subset_1(k5_numbers,k3_numbers) )).
fof(l29_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_bspace)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_bspace)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_bspace(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_bspace(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) => ( ( D = F & E = G ) => ( k1_algstr_0(k7_bspace(A),k3_vectsp_1(k2_bspace,k7_bspace(A),B,D),k3_vectsp_1(k2_bspace,k7_bspace(A),C,E)) = k5_subset_1(A,k4_bspace(A,B,F),k4_bspace(A,C,G)) & k3_vectsp_1(k2_bspace,k7_bspace(A),B,k1_algstr_0(k7_bspace(A),D,E)) = k4_bspace(A,B,k5_subset_1(A,F,G)) & k3_vectsp_1(k2_bspace,k7_bspace(A),k3_rlvect_1(k2_bspace,B,C),D) = k4_bspace(A,k3_rlvect_1(k2_bspace,B,C),F) & k3_vectsp_1(k2_bspace,k7_bspace(A),k8_group_1(k2_bspace,B,C),D) = k4_bspace(A,k8_group_1(k2_bspace,B,C),F) & k3_vectsp_1(k2_bspace,k7_bspace(A),B,k3_vectsp_1(k2_bspace,k7_bspace(A),C,D)) = k4_bspace(A,B,k4_bspace(A,C,F)) ) ) ) ) ) ) ) ) )).
fof(l29_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_clopban2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_clopban2(A))) => ( C = k6_clopban2(A) => ( k6_algstr_0(k9_clopban2(A),B,C) = B & k6_algstr_0(k9_clopban2(A),C,B) = B ) ) ) ) ) )).
fof(l29_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_funct_1(B,C)),k9_setfam_1(k1_funct_1(B,C))) => ( D = k1_funct_4(k1_pboole(A),k17_funcop_1(C,E)) => r1_pboole(A,D,k5_mssubfam(A,B)) ) ) ) ) )).
fof(l29_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => ( ( k2_xfamily(B) = k2_xfamily(C) & k6_coh_sp(A,B) = k6_coh_sp(A,C) & k7_coh_sp(A,B) = k7_coh_sp(A,C) ) => B = C ) ) ) )).
fof(l29_collsp,axiom,( ~ ! [A] : ( m1_subset_1(A,u1_struct_0(c9__collsp)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c9__collsp)) => ! [C] : ( m1_subset_1(C,u1_struct_0(c9__collsp)) => r1_collsp(c9__collsp,A,B,C) ) ) ) )).
fof(l29_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_complex1(k3_xcmplx_0(A,B)) = k5_real_1(k4_real_1(k3_complex1(A),k3_complex1(B)),k4_real_1(k4_complex1(A),k4_complex1(B))) & k4_complex1(k3_xcmplx_0(A,B)) = k3_real_1(k4_real_1(k3_complex1(A),k4_complex1(B)),k4_real_1(k3_complex1(B),k4_complex1(A))) ) ) ) )).
fof(l29_csspace,axiom,( u1_struct_0(k3_clvect_1(o_0_5_csspace)) = k6_domain_1(u1_struct_0(o_0_5_csspace),k4_struct_0(o_0_5_csspace)) )).
fof(l29_dist_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ! [C] : ( r2_tarski(C,k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => ( k1_funct_1(k3_bvfunc_1(A,B),C) = k7_margrel1 <=> ( k1_funct_1(A,C) = k7_margrel1 | k1_funct_1(B,C) = k7_margrel1 ) ) ) ) ) )).
fof(l29_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( r2_tarski(A,k6_jgraph_6(C,D,E)) & r2_tarski(B,k8_jgraph_6(C,D,E)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ r2_tarski(F,k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,B),k5_jgraph_6(C,D,E))) ) ) ) ) ) ) ) )).
fof(l29_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( k4_geomtrap(A,B,C,k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)),k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xcmplx_0(F,E)),k1_rlvect_1(A,C,k4_xcmplx_0(k3_xcmplx_0(F,D))))) = k5_numbers & r2_analmetr(A,k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)),k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xcmplx_0(F,E)),k1_rlvect_1(A,C,k4_xcmplx_0(k3_xcmplx_0(F,D)))),B,C) ) ) ) ) ) ) ) ) )).
fof(l29_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r3_fdiff_3(A,B) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,k1_relset_1(k1_numbers,A)) & r2_hidden(D,k1_rcomp_1(B,k2_xcmplx_0(B,C))) & k1_funct_1(A,D) = k5_numbers ) ) ) ) | ( r3_fdiff_3(k6_rfunct_1(k1_numbers,k1_numbers,A),B) & k2_fdiff_3(B,k6_rfunct_1(k1_numbers,k1_numbers,A)) = k4_xcmplx_0(k7_xcmplx_0(k2_fdiff_3(B,A),k1_square_1(k1_funct_1(A,B)))) ) ) ) ) ) )).
fof(l29_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => k1_pre_ff(k1_nat_1(k2_nat_1(2,k1_nat_1(A,2)),1)) = k1_nat_1(k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),3)),k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),4))) ) )).
fof(l29_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(k1_pepin(3)),k3_square_1(5)) )).
fof(l29_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,A) ) => ! [D] : ( m1_subset_1(D,A) => ( k1_funct_1(k6_fomodel0(A,B),k12_finseq_1(A,D)) = D & k1_funct_1(k6_fomodel0(A,B),k1_monoid_0(A,C,k12_finseq_1(A,D))) = k1_binop_1(B,k1_funct_1(k6_fomodel0(A,B),C),D) ) ) ) ) ) )).
fof(l29_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => k5_setfam_1(k1_fomodel4(B),k7_relset_1(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k13_lang1(k9_setfam_1(k1_fomodel4(B)),k4_fomodel4(B,C)),k1_tarski(A))) = k3_tarski(a_3_5_fomodel4(A,B,C)) ) ) )).
fof(l29_fuzzy_2,axiom,( v1_xreal_0(1) )).
fof(l29_fuzzy_4,axiom,( r2_tarski(1,k1_numbers) & r2_tarski(k5_numbers,k1_numbers) )).
fof(l29_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_glib_002(A) <=> k4_glib_002(A) = 1 ) ) )).
fof(l29_graph_2,axiom,( v2_graph_2(k2_finseq_4(k4_ordinal1,1,2)) )).
fof(l29_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => ( ( v1_group_3(B,D) & m1_group_6(B,A,D) ) => ( v1_group_3(k10_group_2(A,B,C),k10_group_2(A,D,C)) & m1_group_6(k10_group_2(A,B,C),A,k10_group_2(A,D,C)) ) ) ) ) ) ) )).
fof(l29_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( A != k5_numbers & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( A = k3_xcmplx_0(k1_newton(B,D),C) & ~ r1_nat_d(B,C) ) ) ) ) ) ) )).
fof(l29_group_17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ! [C] : ( r2_tarski(C,u1_struct_0(k2_group_7(A,B))) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) ) )).
fof(l29_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ r2_tarski(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & v1_hahnban(D,A) & v4_hahnban(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & v2_hahnban(E,B) & v3_hahnban(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ~ ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( F = G => r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,E,F),k3_funct_2(u1_struct_0(A),k1_numbers,D,G)) ) ) ) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C)))),k1_numbers) & v2_hahnban(F,k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C)))) & v3_hahnban(F,k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C)))),k1_numbers))) ) => ~ ( k2_partfun1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C)))),k1_numbers,F,u1_struct_0(B)) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C))))) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( G = H => r1_xxreal_0(k3_funct_2(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C)))),k1_numbers,F,G),k3_funct_2(u1_struct_0(A),k1_numbers,D,H)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l29_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ( r2_tarski(D,k6_heyting2(A,B,C)) => k3_lattices(k5_substlat(A,B),D,k3_funct_2(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),k7_heyting2(A,B,C),D)) = C ) ) ) ) )).
fof(l29_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,A) => r1_tarski(k3_heyting3(A,B),k2_heyting3(C,B)) ) ) ) ) )).
fof(l29_hilbert4,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ~ ( k32_fomodel0(k5_hilbert3(k7_hilbert4(B),k8_hilbert4(B),A)) != k1_xboole_0 & k10_hilbert4(B,A) = k1_xboole_0 ) & ~ ( k10_hilbert4(B,A) != k1_xboole_0 & k32_fomodel0(k5_hilbert3(k7_hilbert4(B),k8_hilbert4(B),A)) = k1_xboole_0 ) ) ) ) )).
fof(l29_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_aff_1(A,B,C,J) & v7_aff_2(A) & r2_tarski(D,J) & r2_tarski(E,J) & r2_analoaf(A,D,B,E,H) & r2_analoaf(A,D,C,E,I) & r2_aff_1(A,H,I,J) & r2_tarski(F,J) & r2_tarski(G,J) & r2_analoaf(A,F,B,G,H) ) => ( r2_tarski(B,J) | r2_tarski(H,J) | r2_analoaf(A,F,C,G,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l29_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,B) != k4_xcmplx_0(1) & k1_funct_1(B,k2_hurwitz(A,B)) = k4_struct_0(A) ) ) ) )).
fof(l29_int_8,axiom,( ! [A] : ( v1_finset_1(A) => ( k4_card_1(A) = k5_numbers => A = k1_xboole_0 ) ) )).
fof(l29_jordan1,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = k3_pcomps_1(k14_euclid(2)) )).
fof(l29_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v7_ordinal1(D) => ( ( v4_topreal1(A) & v4_pre_topc(B,k15_euclid(2)) & r2_tarski(k1_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),k2_topreal1(2,A,D)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r2_tarski(C,k2_topreal1(2,A,D)) & r2_tarski(C,B) ) => ( r1_xboole_0(k3_topreal1(2,A),B) | r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,D),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)),k1_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),C) ) ) ) ) ) ) )).
fof(l29_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_lopban_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_lopban_2(A))) => ( C = k6_lopban_2(A) => ( k6_algstr_0(k9_lopban_2(A),B,C) = B & k6_algstr_0(k9_lopban_2(A),C,B) = B ) ) ) ) ) )).
fof(l29_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_series_1(k1_lp_space(B,A)) & v1_series_1(k1_lp_space(C,A)) ) => v1_series_1(k1_lp_space(k1_series_1(k1_numbers,B,C),A)) ) ) ) ) ) )).
fof(l29_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => r2_tarski(k8_lpspace1(A,k5_numbers),k13_lpspacc1(A,B,C)) ) ) ) )).
fof(l29_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,C,E),k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,C,D),B),k8_cqc_lang(A,k8_cqc_lang(A,E,B),B))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l29_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ( ~ r1_xxreal_0(2,A) => ( v6_matrix_1(B,k8_matrix_1(k9_matrix_1(A))) & B = k1_finseq_2(A) ) ) ) ) )).
fof(l29_matrtop1,axiom,( v1_xreal_0(k5_numbers) )).
fof(l29_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C))) & r1_xxreal_0(D,C) ) => r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),D))) ) ) ) ) ) )).
fof(l29_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_modelc_1(A) => k1_funct_1(A,1) = 4 ) ) )).
fof(l29_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ~ ( ~ ( v2_modelc_2(A) & k1_funct_1(A,1) != k5_numbers & k1_funct_1(A,1) != 1 & k1_funct_1(A,1) != 2 & k1_funct_1(A,1) != 3 & k1_funct_1(A,1) != 4 & k1_funct_1(A,1) != 5 ) & ~ ( v3_modelc_2(A) & k1_funct_1(A,1) = k5_numbers ) & ~ ( v4_modelc_2(A) & k1_funct_1(A,1) = 1 ) & ~ ( v5_modelc_2(A) & k1_funct_1(A,1) = 2 ) & ~ ( v6_modelc_2(A) & k1_funct_1(A,1) = 3 ) & ~ ( v7_modelc_2(A) & k1_funct_1(A,1) = 4 ) & ~ ( v8_modelc_2(A) & k1_funct_1(A,1) = 5 ) ) ) )).
fof(l29_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_tarski(A,k4_finseq_1(B)) => k3_xcmplx_0(k21_rvsum_1(k3_wsierp_1(k1_numbers,A,B)),k1_funct_1(B,A)) = k21_rvsum_1(B) ) ) ) )).
fof(l29_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k10_nat_lat)) => k2_lattices(k10_nat_lat,A,k2_lattices(k10_nat_lat,B,C)) = k2_lattices(k10_nat_lat,k2_lattices(k10_nat_lat,A,B),C) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => k2_lattices(k10_nat_lat,A,k1_lattices(k10_nat_lat,A,B)) = A ) ) )).
fof(l29_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k2_cat_1(A,D,E) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,A,D,E) => k5_cat_1(B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E),k8_cat_1(A,B,C,E),k9_cat_3(A,D,E,B,C,F),k2_nattra_1(A,B,C,C,k1_nattra_1(A,B,C),E)) = k5_cat_1(B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E),k2_nattra_1(A,B,C,C,k1_nattra_1(A,B,C),D),k9_cat_3(A,D,E,B,C,F)) ) ) ) ) ) ) ) )).
fof(l29_ntalgo_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) & k1_funct_1(A,C) = k5_numbers ) ) & k1_funct_1(B,1) = 1 ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,C) ) => k1_funct_1(B,k1_nat_1(D,1)) = k3_xcmplx_0(k1_funct_1(B,D),k1_funct_1(A,D)) ) ) & k1_funct_1(B,k1_nat_1(C,1)) = k5_numbers ) ) ) ) ) )).
fof(l29_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v9_o_ring_1(B,A) ) ) ) )).
fof(l29_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_cat_1(A,B) = k4_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)) ) ) )).
fof(l29_ordeq_02,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(E,F) = k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),k1_nat_1(A,1)),k2_newton(k1_nat_1(A,1))),D) ) => ! [F] : ( v1_xreal_0(F) => ( r1_fdiff_1(E,F) & k1_fdiff_1(E,F) = k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),A),k2_newton(A)),D)) ) ) ) ) ) ) ) ) )).
fof(l29_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ~ ( B != k1_xboole_0 & v4_ordinal1(B) & ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ~ ( k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) & ? [D] : ( v3_ordinal1(D) & r1_ordinal2(D,C) ) ) ) ) ) ) )).
fof(l29_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_projdes1(A,H,B,D,F) & r1_collsp(A,H,B,C) & r1_collsp(A,H,D,E) & r1_collsp(A,H,F,G) & r1_collsp(A,B,D,I) & r1_collsp(A,C,E,I) & r1_collsp(A,D,F,J) & r1_collsp(A,E,G,J) & r1_collsp(A,B,F,K) & r1_collsp(A,C,G,K) ) => ( H = C | H = E | H = G | B = C | D = E | r1_collsp(A,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l29_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,F) & ~ r1_incsp_1(A,C,G) & ~ r1_incsp_1(A,B,H) & ~ r1_incsp_1(A,C,H) & r1_incsp_1(A,D,F) & r1_incsp_1(A,D,H) & B != C & r1_incsp_1(A,B,I) & r1_incsp_1(A,C,I) & r1_incsp_1(A,E,I) & ~ r1_incsp_1(A,E,F) & E != C & ~ r1_projred2(A,F,G,H) & r1_projred2(A,G,H,I) & ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ~ ( r1_incsp_1(A,D,J) & ~ r1_incsp_1(A,C,J) & ~ r1_incsp_1(A,E,J) & k3_relat_1(k1_projred1(A,F,H,B),k1_projred1(A,H,G,C)) = k3_relat_1(k1_projred1(A,F,J,E),k1_projred1(A,J,G,C)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l29_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => v1_finset_1(k5_ranknull(A,B,C,D)) ) ) ) ) )).
fof(l29_realset2,axiom,( ! [A] : ( m1_subset_1(A,c4__realset2) => ! [B] : ( m1_subset_1(B,c4__realset2) => ! [C] : ( m1_subset_1(C,c4__realset2) => k1_binop_1(k1_realset2,k1_binop_1(k1_realset2,A,B),C) = k1_binop_1(k1_realset2,A,k1_binop_1(k1_realset2,B,C)) ) ) ) )).
fof(l29_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ~ ( k5_numbers = k3_finseq_1(A) & ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ~ r2_classes1(A,B) ) ) ) )).
fof(l29_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_ring_2(A,B,C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = D ) ) ) ) ) )).
fof(l29_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ~ ( r2_tarski(C,k2_rlvect_x(A,B)) & ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_numbers) & v1_funct_1(F) & v1_finseq_1(F) ) => ~ ( C = k4_rlvect_1(A,E) & r1_tarski(k2_relset_1(u1_struct_0(A),D),B) & k3_finseq_1(D) = k3_finseq_1(E) & k3_finseq_1(D) = k3_finseq_1(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(D))) => k7_partfun1(u1_struct_0(A),E,G) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),D,G),k1_funct_1(F,G)) ) ) ) ) ) ) ) ) ) )).
fof(l29_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => v4_lattices(A) ) )).
fof(l29_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,c8__scm_comp,k3_scm_comp(A)) = k16_scm_comp(A) ) )).
fof(l29_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( C != 5 => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k8_scmpds_2(A,B,C)) = k1_xboole_0 ) ) ) ) )).
fof(l29_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ~ ( k5_compos_0(k1_scmpds_i,A) != 4 & k5_compos_0(k1_scmpds_i,A) != 5 & k5_compos_0(k1_scmpds_i,A) != 6 & k5_compos_0(k1_scmpds_i,A) != 7 & k5_compos_0(k1_scmpds_i,A) != 8 ) => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l29_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(3)) = C & k1_funct_1(B,k1_scmp_gcd(4)) = D ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(5)),k5_numbers) | r1_xxreal_0(C,6) | r1_xxreal_0(D,6) | ( k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(C)) = k1_funct_1(B,k1_scmp_gcd(D)) & k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(D)) = k1_funct_1(B,k1_scmp_gcd(C)) & k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(3)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) & k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(4)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),1) & k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(5)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(5)),2) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(8,E) => ( E = C | E = D | k1_funct_1(k6_scmpds_4(k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(E)) = k1_funct_1(B,k1_scmp_gcd(E)) ) ) ) ) ) ) ) ) ) ) )).
fof(l29_seq_4,axiom,( v7_ordinal1(k5_numbers) )).
fof(l29_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m2_finseq_1(E,A) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & k4_binop_1(A,C,B,B) = B ) => r2_funct_2(k4_ordinal1,A,k6_funcop_1(A,k4_ordinal1,C,k1_setwop_2(A,D,B),k1_setwop_2(A,E,B)),k1_setwop_2(A,k1_finseqop(A,A,A,C,D,E),B)) ) ) ) ) ) ) )).
fof(l29_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => k4_simplex0(A) = k5_setfam_1(u1_struct_0(A),u1_pre_topc(A)) ) )).
fof(l29_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_struct_0(k15_euclid(A)) = k2_struct_0(k3_pcomps_1(k14_euclid(A))) ) )).
fof(l29_sincos10,axiom,( r1_tarski(k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l29_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( v2_topreal1(A) => v2_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(l29_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l29_srings_2,axiom,( k3_xboole_0(k2_enumset1(1,2,3,4),k1_enumset1(2,3,4)) = k1_enumset1(2,3,4) )).
fof(l29_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => k3_substlat(A,B,k1_finsub_1(k5_finsub_1(k4_partfun1(A,B)),k4_substlat(A,B,C,D),D)) = k3_substlat(A,B,D) ) ) )).
fof(l29_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_topdim_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_topdim_1(k1_pre_topc(A,B)) & r1_xxreal_0(k4_topdim_1(k1_pre_topc(A,B)),k4_topdim_1(A)) ) ) ) )).
fof(l29_topdim_2,axiom,( v3_topdim_1(k15_euclid(1)) & k4_topdim_1(k15_euclid(1)) = 1 )).
fof(l29_topgen_5,axiom,( u1_struct_0(k3_topgen_5) = k2_topgen_5 )).
fof(l29_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(k2_xcmplx_0(A,C),B) ) => r1_xxreal_0(A,B) ) ) ) ) )).
fof(l29_topreal2,axiom,( r2_tarski(k19_euclid(1,1),a_0_0_topreal2) )).
fof(l29_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( C = a_3_5_topreal9(A,B,D) => v1_convex1(C,k15_euclid(A)) ) ) ) ) ) )).
fof(l29_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) ) => ( r8_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,u2_algstr_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B))) => ( k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),C,k1_algstr_0(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),E,F)) = k1_algstr_0(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),C,E),k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),C,F)) & k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),k1_algstr_0(A,C,D),E) = k1_algstr_0(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),C,E),k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),D,E)) & k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),k6_algstr_0(A,C,D),E) = k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),C,k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),D,E)) & k3_vectsp_1(A,g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),B),k5_struct_0(A),E) = E ) ) ) ) ) ) ) ) )).
fof(l29_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v2_rlvect_1(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) & v3_rlvect_1(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) & v4_rlvect_1(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) & v13_algstr_0(g1_vectsp_1(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) ) ) )).
fof(l29_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ~ ( ? [B] : ? [C] : ( v4_yellow_0(C,k2_yellow_1(B)) & m1_yellow_0(C,k2_yellow_1(B)) & v7_yellow_0(C,k2_yellow_1(B)) & v4_waybel_0(C,k2_yellow_1(B)) & r5_waybel_1(A,C) ) & ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))) & v7_waybel_1(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))))) ) => ~ ( v22_waybel_0(C,k2_yellow_1(B),k2_yellow_1(B)) & r5_waybel_1(A,k1_yellow_2(k2_yellow_1(B),k2_yellow_1(B),C)) ) ) ) ) )).
fof(l29_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) ) => r2_tarski(u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),k9_funct_2(u1_struct_0(C),k9_funct_2(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(l29_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => v23_waybel_0(k3_waybel29(B,A),k1_yellow_1(u1_pre_topc(k2_borsuk_1(B,A))),k3_waybel24(B,k1_waybel29(k1_yellow_1(u1_pre_topc(A))))) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v3_pre_topc(k5_waybel26(D),k2_borsuk_1(B,A)) & m1_subset_1(k5_waybel26(D),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) ) ) ) ) ) )).
fof(l29_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(C,k5_waybel_0(A,D)) <=> r2_hidden(k4_tarski(C,D),u1_orders_2(A)) ) ) ) ) )).
fof(l29_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) => ( ! [E] : ( m1_subset_1(E,B) => v1_waybel_0(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),C,D,E)),A) ) => k5_yellow_2(A,k4_waybel_5(A,D)) = k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),C,D))) ) ) ) ) => v3_waybel_3(A) ) ) )).
fof(l29_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A != k5_numbers => k7_xcmplx_0(A,A) = 1 ) ) )).
fof(l29_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,k2_xcmplx_0(B,C)) => r1_xxreal_0(k6_xcmplx_0(A,B),C) ) ) ) ) )).
fof(l29_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => v3_lattice3(k1_yellow_1(u1_pre_topc(A))) ) )).
fof(l2_abian,axiom,( ! [A] : ( v1_int_1(A) => ( v1_abian(A) <=> ? [B] : ( v1_int_1(B) & A = k3_xcmplx_0(2,B) ) ) ) )).
fof(l2_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_analoaf(A,B,C,C,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_diraf(A,B,C,D,E) & r2_diraf(A,B,D,D,C) & r2_diraf(A,B,E,E,C) ) ) ) ) ) ) )).
fof(l2_algstr_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_vectsp_1)) => ~ ( A != k4_struct_0(k2_vectsp_1) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_vectsp_1)) => k8_group_1(k2_vectsp_1,A,C) != B ) ) ) ) )).
fof(l2_altcat_5,axiom,( m1_subset_1(k5_numbers,2) & m1_subset_1(1,2) )).
fof(l2_altcat_6,axiom,( k1_funct_2(k1_xboole_0,k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(l2_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k1_ami_2) => ( A = k4_ordinal1 | r2_tarski(A,k2_ami_2) ) ) )).
fof(l2_ami_3,axiom,( k2_memstr_0(k5_card_1(2),k1_ami_3) = k3_relat_1(k3_ami_2,k4_ami_2) )).
fof(l2_ami_4,axiom,( k10_ami_3(2) != k10_ami_3(k5_numbers) )).
fof(l2_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_rlvect_1(A,k1_rlvect_1(A,B,k5_numbers),k1_rlvect_1(A,C,k5_numbers)) = k4_struct_0(A) ) ) ) )).
fof(l2_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( B = k3_rlvect_1(A,k1_rlvect_1(A,C,F),k1_rlvect_1(A,D,G)) => k1_rlvect_1(A,B,E) = k3_rlvect_1(A,k1_rlvect_1(A,C,k3_xcmplx_0(E,F)),k1_rlvect_1(A,D,k3_xcmplx_0(E,G))) ) ) ) ) ) ) ) ) )).
fof(l2_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) => ( ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ~ r1_anproj_1(A,B,C) ) ) ) ) ) )).
fof(l2_arithm,axiom,( m1_subset_1(k5_numbers,k1_numbers) )).
fof(l2_armstrng,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_2(C,B,k4_finseq_2(A,B)) => k4_finseq_1(C) = k2_finseq_1(A) ) ) ) )).
fof(l2_arytm_1,axiom,( m1_subset_1(k12_arytm_3,k2_arytm_2) )).
fof(l2_arytm_3,axiom,( r2_tarski(1,k4_ordinal1) )).
fof(l2_asympt_0,axiom,( m1_subset_1(1,k1_numbers) & m1_subset_1(2,k1_numbers) )).
fof(l2_asympt_1,axiom,( m1_subset_1(k5_numbers,k1_numbers) )).
fof(l2_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( v1_group_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( m1_subset_1(D,u1_struct_0(B)) => r1_struct_0(B,k2_group_3(A,D,C)) ) ) ) ) ) ) )).
fof(l2_axioms,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( A = k5_arytm_0(B,C) => ( C = k5_numbers & A = B ) ) ) ) ) )).
fof(l2_bhsp_1,axiom,( u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)) = k6_domain_1(u1_struct_0(o_0_5_bhsp_1),k4_struct_0(o_0_5_bhsp_1)) )).
fof(l2_bhsp_7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(A,k7_xcmplx_0(1,k1_nat_1(B,1))) ) ) ) )).
fof(l2_bintree2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => m2_finseq_1(k10_binarith(A,B),A) ) ) )).
fof(l2_borsuk_7,axiom,( m1_subset_1(k5_numbers,u1_struct_0(k17_borsuk_1)) & m1_subset_1(1,u1_struct_0(k17_borsuk_1)) )).
fof(l2_brouwer2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k5_numbers,C) => r2_tarski(k1_rlvect_1(k15_euclid(A),B,C),k4_topreal9(k15_euclid(A),k4_struct_0(k15_euclid(A)),B)) ) ) ) ) )).
fof(l2_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ( ~ v2_tops_1(k2_topreal9(A,B,C),k15_euclid(A)) & v2_compts_1(k2_topreal9(A,B,C),k15_euclid(A)) ) ) ) ) ) )).
fof(l2_card_5,axiom,( 2 = k4_card_1(2) )).
fof(l2_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( g1_cat_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A)) = g1_cat_1(u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k4_cat_1(A,C) = k4_cat_1(B,D) ) ) ) ) ) ) )).
fof(l2_cc0sp1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_1(C) & v3_vectsp_1(C) & v3_group_1(C) & v5_group_1(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v2_cfuncdom(C) & l1_cfuncdom(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(B,B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(B,B),B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(k2_numbers,B),B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,B),B))) ) => ( ( D = B & I = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(C)),u1_struct_0(C),u1_clvect_1(C),k2_zfmisc_1(k2_numbers,D)) ) => ! [J] : ( ( ~ v2_struct_0(J) & l1_cfuncdom(J) ) => ( J = g1_cfuncdom(B,H,G,I,F,E) => ! [K] : ( m1_subset_1(K,u1_struct_0(J)) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => ( K = L => k1_clvect_1(J,K,A) = k1_clvect_1(C,L,A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l2_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k2_numbers,A,B) & v2_comseq_2(B) & k3_comseq_2(B) = C ) => k1_seq_2(A) = C ) ) ) ) )).
fof(l2_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_1(A,B) = a_2_0_cgames_1(A,B) ) ) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(k5_relat_1(A,B))) => k1_funct_1(k5_relat_1(A,B),C) = a_3_0_cgames_1(A,B,C) ) ) ) ) ) )).
fof(l2_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => ( k6_algstr_0(A,D,k3_clopban3(A,C,B)) = k6_algstr_0(A,k3_clopban3(A,C,B),D) & k6_algstr_0(A,C,k3_clopban3(A,D,B)) = k6_algstr_0(A,k3_clopban3(A,D,B),C) ) ) ) ) ) ) )).
fof(l2_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k5_numbers,k2_xcmplx_0(k1_square_1(A),k1_square_1(B))) ) ) )).
fof(l2_complfld,axiom,( k1_group_1(k1_complfld) = k6_complex1 )).
fof(l2_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => k10_seq_4(A,B) = k4_finseqop(k2_numbers,k2_numbers,A,k10_funcop_1(k2_numbers,k2_numbers,k5_binop_2,B,k6_partfun1(k2_numbers))) ) ) )).
fof(l2_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k2_numbers,k9_funct_2(u1_struct_0(A),k2_numbers)) => r1_tarski(k13_pre_poly(B),u1_struct_0(A)) ) ) )).
fof(l2_csspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k5_numbers,k2_xcmplx_0(k1_square_1(A),k1_square_1(B))) ) ) )).
fof(l2_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_comseq_2(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_funct_1(A,B),k2_seq_4(k2_relset_1(k1_numbers,A))) ) ) ) )).
fof(l2_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( v1_funct_1(k13_funct_7(A,B,C,D)) & v1_funct_2(k13_funct_7(A,B,C,D),k4_ordinal1,A) & m1_subset_1(k13_funct_7(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) ) ) ) )).
fof(l2_entropy1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l2_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k12_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k12_euclid(k5_algstr_0(k15_euclid(2),B,A)) ) ) )).
fof(l2_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( v1_xreal_0(B) => k9_euclid(3,A,B) = k1_euclid_8(k3_xcmplx_0(B,k1_funct_1(A,1)),k3_xcmplx_0(B,k1_funct_1(A,2)),k3_xcmplx_0(B,k1_funct_1(A,3))) ) ) )).
fof(l2_euler_1,axiom,( ~ v1_int_2(1) )).
fof(l2_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( A != k5_numbers => r1_xxreal_0(k5_numbers,k6_xcmplx_0(A,1)) ) ) )).
fof(l2_fdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(C,E) = A ) ) & D = k1_taylor_1(2) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B),E) = k4_xcmplx_0(k3_xcmplx_0(2,E)) ) ) ) ) ) ) ) ) )).
fof(l2_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => k2_xcmplx_0(1,k19_sin_cos(k3_xcmplx_0(2,A))) = k3_xcmplx_0(2,k1_square_1(k19_sin_cos(A))) ) )).
fof(l2_fib_fusc,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(A,k5_numbers) => ( m1_subset_1(k1_int_1(k3_power(2,A)),k4_ordinal1) & ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,A)),1)),1),k5_numbers) ) ) ) )).
fof(l2_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k4_xcmplx_0(A),k4_xcmplx_0(k3_xcmplx_0(A,k2_power(k4_xcmplx_0(1),B)))) ) ) )).
fof(l2_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : k10_xtuple_0(k11_finseq_1(A,B,C)) = k1_enumset1(A,B,C) )).
fof(l2_finset_1,axiom,( ! [A] : v1_finset_1(k1_tarski(A)) )).
fof(l2_fomodel3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ~ ( ~ r2_tarski(A,k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),k2_xcmplx_0(B,C))) & r2_tarski(A,k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),B)) ) ) ) ) )).
fof(l2_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ ( ~ v7_pre_topc(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & r2_tarski(C,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B))) ) ) ) ) ) )).
fof(l2_freealg,axiom,( ~ r2_tarski(k5_numbers,k10_xtuple_0(k3_pre_poly(k4_ordinal1,1))) & r2_tarski(k5_numbers,k10_xtuple_0(k3_pre_poly(k4_ordinal1,k5_numbers))) )).
fof(l2_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ( r2_tarski(D,k9_xtuple_0(k1_funct_4(A,k17_funcop_1(B,C)))) => ( r2_tarski(D,k9_xtuple_0(A)) | B = D ) ) ) )).
fof(l2_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : r2_tarski(B,k9_xtuple_0(k1_funct_4(A,k17_funcop_1(B,C)))) ) )).
fof(l2_goboard6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) )).
fof(l2_gobrd12,axiom,( u1_struct_0(k15_euclid(2)) = k1_euclid(2) )).
fof(l2_graph_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_nat_1(C,1)) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ( k2_xcmplx_0(k3_finseq_1(k1_graph_2(A,B,C)),B) = k1_nat_1(C,1) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(k1_graph_2(A,B,C)),D) => k1_funct_1(k1_graph_2(A,B,C),k1_nat_1(D,1)) = k1_funct_1(A,k2_xcmplx_0(B,D)) ) ) ) ) ) ) ) )).
fof(l2_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,B,C) = k8_group_1(A,C,B) ) ) ) )).
fof(l2_group_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) ) => ! [D] : ( m1_subset_1(D,k4_card_3(k12_pralg_1(A,C))) => r2_tarski(k1_funct_1(D,B),u1_struct_0(k1_group_7(A,C,B))) ) ) ) ) )).
fof(l2_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( A = k2_xboole_0(B,C) & r1_tarski(A,B) ) => A = B ) )).
fof(l2_heyting3,axiom,( k5_numbers = k2_nat_1(2,k5_numbers) )).
fof(l2_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v7_aff_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( r2_tarski(B,C) & r2_tarski(D,C) & r2_tarski(E,C) & v1_aff_1(C,A) & r1_aff_1(A,B,F,H) & r1_aff_1(A,B,G,I) & r2_aff_1(A,F,G,C) & r2_aff_1(A,H,I,C) & r2_analoaf(A,F,D,H,E) ) => ( r2_tarski(F,C) | r2_analoaf(A,G,D,I,E) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l2_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( v1_int_2(B) & ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(B,C) & A != k5_numbers & ! [D] : ( v7_ordinal1(D) => k4_nat_d(k3_xcmplx_0(D,A),B) != C ) ) ) ) ) )).
fof(l2_int_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( A = k4_xcmplx_0(B) => ( B = A | r2_hidden(A,k6_subset_1(k2_zfmisc_1(k1_tarski(k5_numbers),k4_ordinal1),k1_tarski(k4_tarski(k5_numbers,k5_numbers)))) ) ) ) )).
fof(l2_integr11,axiom,( k2_subset_1(k1_numbers) = k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos)) )).
fof(l2_integr13,axiom,( k3_limfunc1(k5_numbers) = a_0_0_integr13 )).
fof(l2_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m1_integr15(D,A,B,C) => ! [E] : ( v7_ordinal1(E) => ( ( v2_seq_2(k2_partfun1(A,k1_numbers,B,A)) & r2_tarski(E,k4_finseq_1(C)) ) => r1_xxreal_0(k1_funct_1(k5_integra1(A,B,C),E),k1_funct_1(D,E)) ) ) ) ) ) ) )).
fof(l2_integr16,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k4_finseq_1(A) = k9_xtuple_0(B) => ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) ) ) ) )).
fof(l2_integr21,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r1_tarski(C,k1_relset_1(A,D)) => ( v1_funct_1(k2_partfun1(A,B,D,C)) & v1_funct_2(k2_partfun1(A,B,D,C),C,B) & m1_subset_1(k2_partfun1(A,B,D,C),k1_zfmisc_1(k2_zfmisc_1(C,B))) ) ) ) ) ) ) )).
fof(l2_integra2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) ) => r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,k1_nat_1(B,1))) ) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & r1_xxreal_0(B,C) ) => r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(l2_integra3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,2) & A != 1 & A != 2 ) ) )).
fof(l2_integra8,axiom,( ~ r1_xxreal_0(k5_numbers,k17_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(l2_integra9,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l2_jgraph_3,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),k4_pscomp_1) = u1_struct_0(k15_euclid(2)) )).
fof(l2_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k3_xcmplx_0(A,k3_square_1(k2_xcmplx_0(1,k1_square_1(B)))),k3_xcmplx_0(B,k3_square_1(k2_xcmplx_0(1,k1_square_1(A))))) ) ) ) )).
fof(l2_jgraph_8,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_xxreal_0(1,k3_finseq_1(B)) => ( k1_funct_1(k7_finseq_1(B,k9_finseq_1(A)),1) = k1_funct_1(B,1) & k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),k1_nat_1(k3_finseq_1(B),1)) = k1_funct_1(B,k3_finseq_1(B)) ) ) ) )).
fof(l2_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( r1_tarski(A,E) & r1_tarski(B,E) & r1_tarski(C,E) & r1_tarski(D,E) ) => r1_tarski(k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D),E) ) )).
fof(l2_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [B] : ( v7_ordinal1(B) & r1_jordan1h(A,B) ) ) )).
fof(l2_jordan12,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_zfmisc_1(A) => v1_zfmisc_1(k3_finseq_1(A)) ) ) )).
fof(l2_jordan18,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),k5_pscomp_1) = u1_struct_0(k15_euclid(2)) )).
fof(l2_jordan1a,axiom,( k3_nat_d(3,2) = 1 )).
fof(l2_jordan1c,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( A != k5_numbers & B != k5_numbers & k3_xcmplx_0(k7_xcmplx_0(A,B),k3_xcmplx_0(k7_xcmplx_0(C,A),B)) != C ) ) ) ) )).
fof(l2_jordan1d,axiom,( k3_nat_d(1,2) = k5_numbers )).
fof(l2_jordan21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r2_hidden(A,k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,B) & k1_funct_1(k5_pscomp_1,C) = A ) ) ) ) ) )).
fof(l2_jordan24,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = k3_pcomps_1(k14_euclid(2)) )).
fof(l2_jordan5a,axiom,( ! [A] : ( v7_ordinal1(A) => ( u1_struct_0(k14_euclid(A)) = k1_euclid(A) & u1_struct_0(k15_euclid(A)) = k1_euclid(A) ) ) )).
fof(l2_jordan7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k7_nat_d(A,C),B) => r1_xxreal_0(A,k2_xcmplx_0(B,C)) ) ) ) ) )).
fof(l2_kurato_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => m1_subset_1(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(l2_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_xboole_0(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(D,B) & D != C & r3_orders_2(k3_lattice3(A),C,D) ) ) ) ) ) ) ) )).
fof(l2_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => ! [B] : ! [C] : ( r1_tarski(B,C) => ! [D] : ( r2_tarski(D,k9_xtuple_0(k2_funct_1(k5_relat_1(A,B)))) => k1_funct_1(k2_funct_1(k5_relat_1(A,B)),D) = k1_funct_1(k2_funct_1(k5_relat_1(A,C)),D) ) ) ) )).
fof(l2_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(k10_xtuple_0(A),k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) => ( k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C)) & r1_tarski(k10_xtuple_0(A),k1_relset_1(k1_numbers,B)) & r1_tarski(k10_xtuple_0(A),k1_relset_1(k1_numbers,C)) ) ) ) ) ) )).
fof(l2_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( r1_tarski(k2_relset_1(k1_numbers,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)),D)) => ( r1_tarski(k2_relset_1(k1_numbers,A),k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & r1_tarski(k2_relset_1(k1_numbers,A),D) & k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C)) & r1_tarski(k2_relset_1(k1_numbers,A),k1_relset_1(k1_numbers,B)) & r1_tarski(k2_relset_1(k1_numbers,A),k1_relset_1(k1_numbers,C)) & r1_tarski(k2_relset_1(k1_numbers,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),D)) & r1_tarski(k2_relset_1(k1_numbers,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),D)) ) ) ) ) ) ) )).
fof(l2_limfunc3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( r1_tarski(k10_xtuple_0(A),k6_subset_1(k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)),D)) => ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(A),k9_xtuple_0(B)) & r1_tarski(k10_xtuple_0(A),k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(A),k6_subset_1(k9_xtuple_0(B),D)) & r1_tarski(k10_xtuple_0(A),k6_subset_1(k9_xtuple_0(C),D)) ) ) ) ) ) )).
fof(l2_limfunc4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r1_tarski(k10_xtuple_0(C),k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,B))) => ( r1_tarski(k10_xtuple_0(C),k1_relset_1(k1_numbers,A)) & r1_tarski(k10_xtuple_0(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)),k1_relset_1(k1_numbers,B)) ) ) ) ) ) )).
fof(l2_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( k6_algstr_0(A,B,k6_lopban_3(A,B,C)) = k6_lopban_3(A,B,k1_nat_1(C,1)) & k6_algstr_0(A,k6_lopban_3(A,B,C),B) = k6_lopban_3(A,B,k1_nat_1(C,1)) & k6_algstr_0(A,B,k6_lopban_3(A,B,C)) = k6_algstr_0(A,k6_lopban_3(A,B,C),B) ) ) ) ) )).
fof(l2_matrix16,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k2_finseq_1(A)) & r2_tarski(C,k2_finseq_1(A)) ) => r2_tarski(k2_xcmplx_0(k5_int_1(k6_xcmplx_0(C,B),A),1),k2_finseq_1(A)) ) ) ) ) )).
fof(l2_matrix17,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(B,C),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A))) => ( r2_tarski(k6_xcmplx_0(k2_xcmplx_0(A,1),C),k2_finseq_1(A)) & r2_tarski(k6_xcmplx_0(k2_xcmplx_0(A,1),B),k2_finseq_1(A)) ) ) ) ) ) )).
fof(l2_matrix_9,axiom,( k2_finseq_4(k4_ordinal1,1,2) != k2_finseq_4(k4_ordinal1,2,1) )).
fof(l2_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => k4_struct_0(k6_prvect_1(k2_vectsp_1,A)) = k4_struct_0(k15_euclid(A)) ) )).
fof(l2_mazurulm,axiom,( k2_pre_topc(k5_topmetr,c1__mazurulm) = k2_struct_0(k5_topmetr) )).
fof(l2_mboolean,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( r2_tarski(A,B) => k9_xtuple_0(k1_funct_4(D,k17_funcop_1(A,C))) = B ) ) )).
fof(l2_mesfunc1,axiom,( k5_numbers = k4_xcmplx_0(k5_numbers) )).
fof(l2_metric_1,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l2_metrizts,axiom,( ! [A] : ( ( v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => r1_borsuk_3(A,B) ) ) )).
fof(l2_modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,k1_nat_1(C,1)) => ( r1_xxreal_0(B,A) | r1_xxreal_0(A,C) ) ) ) ) ) )).
fof(l2_modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_tarski(A,k2_xboole_0(k6_subset_1(B,C),k6_subset_1(D,E))) <=> ( ( r2_tarski(A,B) & ~ r2_tarski(A,C) ) | ( r2_tarski(A,D) & ~ r2_tarski(A,E) ) ) ) )).
fof(l2_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ! [E] : ( v1_funct_1(k1_funct_1(D,E)) & v1_funct_2(k1_funct_1(D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) ) ) ) ) )).
fof(l2_msaterm,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ( ~ r1_xxreal_0(k3_finseq_1(C),A) => r2_tarski(k1_funct_1(C,k1_nat_1(A,1)),B) ) ) ) )).
fof(l2_nagata_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,D)),k2_xcmplx_0(k2_xcmplx_0(k9_complex1(k6_xcmplx_0(A,B)),k9_complex1(k6_xcmplx_0(B,C))),k9_complex1(k6_xcmplx_0(C,D)))) ) ) ) ) )).
fof(l2_nat_1,axiom,( m1_subset_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)) )).
fof(l2_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => k1_newton(k4_xcmplx_0(1),A) = 1 ) )).
fof(l2_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => v7_ordinal1(k5_int_1(A,B)) ) ) )).
fof(l2_normsp_0,axiom,( v1_funct_1(k8_funct_5) & v1_funct_2(k8_funct_5,k1_tarski(k5_numbers),k1_numbers) & m1_subset_1(k8_funct_5,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_numbers))) )).
fof(l2_normsp_1,axiom,( v1_funct_1(k8_funcop_1(k1_numbers,u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k10_subset_1(k5_numbers,k1_numbers))) & v1_funct_2(k8_funcop_1(k1_numbers,u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k10_subset_1(k5_numbers,k1_numbers)),u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k1_numbers) & m1_subset_1(k8_funcop_1(k1_numbers,u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k10_subset_1(k5_numbers,k1_numbers)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k1_numbers))) )).
fof(l2_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k8_nat_1(k4_ordinal1,C,k5_numbers) = k1_int_2(A) & k8_nat_1(k4_ordinal1,D,k5_numbers) = k1_int_2(B) & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_ordinal1,C,k1_nat_1(E,1)) = k8_nat_1(k4_ordinal1,D,E) & k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1)) = k4_nat_d(k8_nat_1(k4_ordinal1,C,E),k8_nat_1(k4_ordinal1,D,E)) ) ) ) ) ) ) )).
fof(l2_numbers,axiom,( 1 = k1_ordinal1(k5_ordinal1) )).
fof(l2_numpoly1,axiom,( ! [A] : ( v1_int_1(A) => v1_abian(k3_xcmplx_0(A,k6_xcmplx_0(A,1))) ) )).
fof(l2_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( C = k12_finseq_1(u1_struct_0(A),B) <=> ( k3_finseq_1(C) = 1 & k7_partfun1(u1_struct_0(A),C,1) = B ) ) ) ) ) )).
fof(l2_ordeq_02,axiom,( u1_struct_0(k4_real_ns1(1)) = k1_euclid(1) )).
fof(l2_ordinal4,axiom,( v4_ordinal1(k4_ordinal1) )).
fof(l2_ortsp_1,axiom,( m1_subset_1(k5_numbers,c1__ortsp_1) )).
fof(l2_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,B,C),k5_algstr_0(A,D,E)),k8_group_1(A,k5_algstr_0(A,C,B),k5_algstr_0(A,E,D))) = k4_struct_0(A) ) ) ) ) ) )).
fof(l2_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( k1_algstr_0(A,B,k4_algstr_0(A,C)) = k4_struct_0(A) => B = C ) & ( B = C => k1_algstr_0(A,B,k4_algstr_0(A,C)) = k4_struct_0(A) ) & ( k5_algstr_0(A,B,C) = k4_struct_0(A) => B = C ) & ( B = C => k5_algstr_0(A,B,C) = k4_struct_0(A) ) ) ) ) ) )).
fof(l2_partfun4,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( r1_xboole_0(A,B) => ! [E] : ! [F] : ( ( r2_hidden(k4_tarski(E,F),k2_pcs_0(A,A,B,B,C,D)) & r2_hidden(F,B) ) => ( r2_hidden(k4_tarski(E,F),D) & r2_hidden(E,B) ) ) ) ) ) )).
fof(l2_pdiff_1,axiom,( v3_funct_2(k1_pdiff_1(1,1),k1_euclid(1),k1_numbers) & k1_relset_1(k1_euclid(1),k1_pdiff_1(1,1)) = k1_euclid(1) & k1_rvsum_1(k1_pdiff_1(1,1)) = k1_numbers & ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k1_pdiff_1(1,1),k9_finseq_1(A)) = A & k1_funct_1(k2_funct_1(k1_pdiff_1(1,1)),A) = k9_finseq_1(A) ) ) )).
fof(l2_pdiff_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => k2_xcmplx_0(A,k7_nat_d(B,A)) = k7_nat_d(k2_xcmplx_0(A,B),A) ) ) ) )).
fof(l2_pencil_4,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(B,k4_card_1(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k4_card_1(C) != B ) ) ) ) )).
fof(l2_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k1_newton(2,k1_newton(2,A)),1) ) )).
fof(l2_polyeq_2,axiom,( r1_int_1(2,4) )).
fof(l2_polynom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r6_relat_2(C,A) => r6_relat_2(C,B) ) ) ) )).
fof(l2_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k4_struct_0(A)) = k4_struct_0(A) ) ) )).
fof(l2_polynom8,axiom,( ! [A] : ( v1_int_1(A) => ~ ( ~ r1_xxreal_0(1,A) & A != k5_numbers & r1_xxreal_0(k5_numbers,A) ) ) )).
fof(l2_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r2_pre_poly(A,B,C) => r2_pre_poly(A,k11_pre_poly(A,B,D),k11_pre_poly(A,C,D)) ) ) ) ) ) )).
fof(l2_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_lattice3(A,u1_struct_0(A),B) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_orders_2(A,B,C) ) ) ) ) )).
fof(l2_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => k9_cqc_lang(A,B,C) = k8_cqc_lang(A,k6_cqc_lang(A,B),C) ) ) ) )).
fof(l2_pscomp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v6_measure6(B,A) => v5_measure6(k32_valued_1(A,k1_numbers,B),A) ) ) ) )).
fof(l2_pua2mss1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m2_finseq_1(k1_partfun1(k4_ordinal1,A,A,B,C,D),B) ) ) ) )).
fof(l2_quatern2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)),k1_square_1(D))) ) ) ) ) )).
fof(l2_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => ( v1_xreal_0(A) => ( A = k12_quaterni(A) & k13_quaterni(A) = k5_numbers & k14_quaterni(A) = k5_numbers & k15_quaterni(A) = k5_numbers ) ) ) )).
fof(l2_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k6_xcmplx_0(k1_radix_1(A),k1_radix_1(k7_nat_d(A,1))) = k1_radix_1(k7_nat_d(A,1)) ) ) )).
fof(l2_radix_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( r2_hidden(B,k3_radix_3(A)) => ( r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(A,1))),B) & r1_xxreal_0(B,k6_xcmplx_0(k1_radix_1(k7_nat_d(A,1)),1)) ) ) ) ) )).
fof(l2_rat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_arytm_3(A,B) = k7_xcmplx_0(A,B) ) ) )).
fof(l2_real,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => r1_xxreal_0(A,C) ) ) ) ) )).
fof(l2_recdef_1,axiom,( r2_tarski(1,k1_numbers) )).
fof(l2_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => ( r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(k1_nat_1(k5_numbers,1),B) & ~ r1_xxreal_0(B,k5_numbers) ) ) ) ) )).
fof(l2_rltopsp1,axiom,( v2_xxreal_0(1) & v1_xreal_0(1) )).
fof(l2_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( B != C & ! [F] : ( m2_rlvect_2(F,A,k7_domain_1(u1_struct_0(A),B,C)) => ~ ( k3_funct_2(u1_struct_0(A),k1_numbers,F,B) = D & k3_funct_2(u1_struct_0(A),k1_numbers,F,C) = E ) ) ) ) ) ) ) ) )).
fof(l2_rsspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_comseq_2(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_funct_1(A,B),k2_seq_4(k2_relset_1(k1_numbers,A))) ) ) ) )).
fof(l2_rusub_4,axiom,( ! [A] : ! [B] : ( r2_tarski(B,A) => k2_xboole_0(k6_subset_1(A,k1_tarski(B)),k1_tarski(B)) = A ) )).
fof(l2_scm_comp,axiom,( 5 = a_0_1_scm_comp )).
fof(l2_scm_halt,axiom,( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))) = k5_numbers )).
fof(l2_scmfsa_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ( k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),k1_ordinal4(D,E)) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(k1_ordinal4(A,B),k1_ordinal4(k1_ordinal4(C,D),E)) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(k1_ordinal4(A,B),k1_ordinal4(C,k1_ordinal4(D,E))) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(A,k1_ordinal4(k1_ordinal4(k1_ordinal4(B,C),D),E)) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(A,k1_ordinal4(k1_ordinal4(B,C),k1_ordinal4(D,E))) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(A,k1_ordinal4(B,k1_ordinal4(k1_ordinal4(C,D),E))) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(A,k1_ordinal4(B,k1_ordinal4(C,k1_ordinal4(D,E)))) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),k1_ordinal4(C,D)),E) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(k1_ordinal4(A,k1_ordinal4(k1_ordinal4(B,C),D)),E) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(k1_ordinal4(A,k1_ordinal4(B,k1_ordinal4(C,D))),E) & k1_ordinal4(k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D),E) = k1_ordinal4(A,k1_ordinal4(k1_ordinal4(B,k1_ordinal4(C,D)),E)) ) ) ) ) ) ) )).
fof(l2_scmpds_6,axiom,( r2_tarski(k5_numbers,k9_xtuple_0(k4_compos_1(k1_scmpds_2))) )).
fof(l2_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k2_memstr_0(k5_card_1(2),k1_scmring2(A)) = k3_relat_1(k3_ami_2,k1_scmring1(A)) ) )).
fof(l2_scpqsort,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k2_scmpds_8(A,B,C) = k2_scmpds_4(k8_scmpds_2(A,B,k1_nat_1(k4_card_1(C),2)),k3_scmpds_4(C,k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C),1))))) ) ) ) )).
fof(l2_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,B)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C)),k8_nat_1(k1_numbers,A,B)) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C)),k8_nat_1(k1_numbers,A,B)) ) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,B)) ) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,B)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,B)) ) ) ) ) )).
fof(l2_series_2,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(A,3) = k3_xcmplx_0(k3_xcmplx_0(A,A),A) ) )).
fof(l2_series_3,axiom,( k11_newton(1,3) = 1 )).
fof(l2_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(k2_xcmplx_0(k1_newton(k7_xcmplx_0(1,2),k1_nat_1(A,1)),k11_newton(2,k1_nat_1(A,1))),2) = k2_xcmplx_0(k2_xcmplx_0(k1_newton(k7_xcmplx_0(1,4),k1_nat_1(A,1)),k11_newton(4,k1_nat_1(A,1))),2) ) )).
fof(l2_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => k7_xcmplx_0(2,k2_xcmplx_0(k7_xcmplx_0(1,A),k7_xcmplx_0(1,B))) = k7_xcmplx_0(k3_xcmplx_0(2,k3_xcmplx_0(A,B)),k2_xcmplx_0(A,B)) ) ) )).
fof(l2_setwop_2,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r2_tarski(k1_nat_1(A,1),k2_finseq_1(A)) ) )).
fof(l2_simplex0,axiom,( ! [A] : ? [B] : ( v1_classes1(B) & B = k3_tarski(a_1_0_simplex0(A)) & r1_tarski(A,B) & ! [C] : ( ( r1_tarski(A,C) & v1_classes1(C) ) => r1_tarski(B,C) ) ) )).
fof(l2_sin_cos,axiom,( r2_tarski(1,k4_ordinal1) )).
fof(l2_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(1,k1_square_1(A)) & ~ r1_xxreal_0(1,B) & r1_xxreal_0(1,k3_xcmplx_0(k1_square_1(A),B)) ) ) ) )).
fof(l2_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( k2_sin_cos2(A) = k7_xcmplx_0(k6_xcmplx_0(k23_sin_cos(A),k23_sin_cos(k4_xcmplx_0(A))),2) & k4_sin_cos2(A) = k7_xcmplx_0(k2_xcmplx_0(k23_sin_cos(A),k23_sin_cos(k4_xcmplx_0(A))),2) & k6_sin_cos2(A) = k7_xcmplx_0(k6_xcmplx_0(k23_sin_cos(A),k23_sin_cos(k4_xcmplx_0(A))),k2_xcmplx_0(k23_sin_cos(A),k23_sin_cos(k4_xcmplx_0(A)))) ) ) )).
fof(l2_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( r2_hidden(C,B) => r2_hidden(C,A) ) ) )).
fof(l2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r2_tarski(D,k1_substlat(A,B)) & r2_tarski(C,D) ) => v1_finset_1(C) ) )).
fof(l2_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,D)) & m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,E)) ) => D = E ) ) ) ) ) ) )).
fof(l2_symsp_1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)))) & ! [B] : ( m1_subset_1(B,k1_tarski(k5_numbers)) => ! [C] : ( m1_subset_1(C,k1_tarski(k5_numbers)) => k4_binop_1(k1_tarski(k5_numbers),A,B,C) = c2__symsp_1 ) ) ) )).
fof(l2_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_tops_3(B,A) & v1_tops_3(C,A) & r1_xboole_0(B,C) ) ) ) ) )).
fof(l2_topalg_3,axiom,( m1_subset_1(k5_numbers,u1_struct_0(k17_borsuk_1)) & m1_subset_1(1,u1_struct_0(k17_borsuk_1)) )).
fof(l2_topalg_4,axiom,( r2_tarski(2,k2_tarski(1,2)) )).
fof(l2_topalg_5,axiom,( r2_tarski(k5_numbers,u1_struct_0(k5_topmetr)) )).
fof(l2_topgen_6,axiom,( v8_pre_topc(k2_topgen_3) )).
fof(l2_topmetr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(k7_relat_1(A,k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))),k10_xtuple_0(B)) => r1_tarski(k6_subset_1(k10_xtuple_0(A),k10_xtuple_0(B)),k10_xtuple_0(k1_funct_4(A,B))) ) ) ) )).
fof(l2_topreal2,axiom,( k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) = k1_xboole_0 )).
fof(l2_toprealb,axiom,( v1_xreal_0(k4_xcmplx_0(1)) & v3_xxreal_0(k4_xcmplx_0(1)) )).
fof(l2_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r1_aff_1(A,B,C,D) & B != C & B != D & C != D & ~ r1_aff_1(A,B,C,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_aff_1(A,E,B,F) & E != F & B != F ) ) ) ) ) ) ) ) )).
fof(l2_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(A,B))) => ( r1_xxreal_0(A,B) => m1_subset_1(C,k1_numbers) ) ) ) ) )).
fof(l2_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(A),C) => k1_funct_1(A,k1_nat_1(C,1)) = k1_funct_1(B,k1_nat_1(C,1)) ) ) ) => A = B ) ) ) )).
fof(l2_tsep_1,axiom,( ! [A] : ! [B] : ! [C] : k6_subset_1(k3_xboole_0(A,B),C) = k9_subset_1(B,k6_subset_1(A,C),k6_subset_1(B,C)) )).
fof(l2_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k9_xtuple_0(C) = k9_subset_1(k4_ordinal1,k4_finseq_1(A),k4_finseq_1(B)) => ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) ) ) ) ) )).
fof(l2_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => k1_vectsp_5(A,B,C,D) = k1_vectsp_5(A,B,D,C) ) ) ) ) )).
fof(l2_waybel14,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,k3_subset_1(u1_struct_0(A),C)) <=> r1_tarski(C,k3_subset_1(u1_struct_0(A),B)) ) ) ) ) )).
fof(l2_waybel15,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( v2_funct_2(D,B) & v2_funct_2(E,C) ) => v2_funct_2(k1_partfun1(A,B,B,C,D,E),C) ) ) ) ) ) )).
fof(l2_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => a_1_5_waybel19(A) = a_1_5_waybel19(B) ) ) ) )).
fof(l2_waybel22,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( r1_tarski(B,k9_setfam_1(u1_struct_0(A))) => k1_yellow_0(A,k3_tarski(B)) = k1_yellow_0(A,a_2_4_waybel22(A,B)) ) ) )).
fof(l2_waybel23,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(A)))) => ( r1_yellow_0(k1_yellow_1(A),B) => r1_tarski(k3_tarski(B),k1_yellow_0(k1_yellow_1(A),B)) ) ) ) )).
fof(l2_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_xboole_0(k1_waybel_3(A,B)) & v1_waybel_0(k1_waybel_3(A,B),A) & v12_waybel_0(k1_waybel_3(A,B),A) & m1_subset_1(k1_waybel_3(A,B),k1_zfmisc_1(u1_struct_0(A))) & r3_orders_2(A,B,k1_yellow_0(A,k1_waybel_3(A,B))) & ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_orders_2(A,B,k1_yellow_0(A,C)) => r1_tarski(k1_waybel_3(A,B),C) ) ) ) ) => v3_waybel_3(A) ) ) )).
fof(l2_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ( v8_relat_2(A) <=> ! [B] : ! [C] : ! [D] : ( ( r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(C,D),A) ) => r2_hidden(k4_tarski(B,D),A) ) ) ) )).
fof(l2_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( A = k5_arytm_0(B,C) => ( C = k5_numbers & A = B ) ) ) ) ) )).
fof(l2_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( A = k5_arytm_0(B,C) => ( C = k5_numbers & A = B ) ) ) ) ) )).
fof(l2_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ( k1_tarski(A) = k2_tarski(B,C) => A = B ) )).
fof(l2_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( B = k1_zf_model(A) <=> ? [C] : ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( r2_hidden(k4_tarski(k3_zf_lang(D,E),k2_tarski(D,E)),C) & r2_hidden(k4_tarski(k4_zf_lang(D,E),k2_tarski(D,E)),C) ) ) ) & r2_hidden(k4_tarski(A,B),C) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( r2_hidden(k4_tarski(D,E),C) => ( ( v2_zf_lang(D) => E = k2_tarski(k17_zf_lang(D),k18_zf_lang(D)) ) & ( v3_zf_lang(D) => E = k2_tarski(k17_zf_lang(D),k18_zf_lang(D)) ) & ~ ( v4_zf_lang(D) & ! [F] : ~ ( E = F & r2_hidden(k4_tarski(k19_zf_lang(D),F),C) ) ) & ~ ( v5_zf_lang(D) & ! [F] : ! [G] : ~ ( E = k3_tarski(k2_tarski(F,G)) & r2_hidden(k4_tarski(k20_zf_lang(D),F),C) & r2_hidden(k4_tarski(k21_zf_lang(D),G),C) ) ) & ~ ( v6_zf_lang(D) & ! [F] : ~ ( E = k6_subset_1(F,k1_tarski(k22_zf_lang(D))) & r2_hidden(k4_tarski(k23_zf_lang(D),F),C) ) ) ) ) ) ) ) ) )).
fof(l2_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,B) => ( r2_hidden(A,C) | r1_tarski(C,k4_xboole_0(B,k1_tarski(A))) ) ) )).
fof(l2_zfrefle1,axiom,( v4_ordinal1(k4_ordinal1) )).
fof(l2_zmodul03,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v1_int_1(C) => ( C = B => k3_xcmplx_0(C,A) = k5_binom(k1_int_3,A,B) ) ) ) ) )).
fof(l30_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ~ v2_extpro_1(k9_ami_3(B,A),k5_card_1(2),k1_ami_3) ) ) )).
fof(l30_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( v5_amistd_1(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r2_tarski(k5_memstr_0(A,B,D),k1_relset_1(k4_ordinal1,C)) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( r1_tarski(C,E) => ! [F] : ( v7_ordinal1(F) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,E,D,F)),k1_relset_1(k4_ordinal1,C)) ) ) ) ) ) ) ) ) ) )).
fof(l30_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_anproj_1(A,B,C) & D = k1_rlvect_1(A,C,E) & E != k5_numbers & r1_anproj_1(A,B,D) ) ) ) ) ) ) )).
fof(l30_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( r1_tarski(k3_arytm_2(A),k3_arytm_2(B)) => r1_arytm_2(A,B) ) ) ) )).
fof(l30_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => v10_bcialg_1(k4_struct_0(A),A) ) )).
fof(l30_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_series_1(2,A),B) => ( r1_xxreal_0(k5_series_1(2,k2_xcmplx_0(A,1)),B) | k1_funct_1(k1_binari_3(k2_xcmplx_0(A,1),B),k2_xcmplx_0(A,1)) = k7_margrel1 ) ) ) ) )).
fof(l30_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( k4_nat_d(B,A) = k4_nat_d(C,A) & ~ r1_xxreal_0(B,C) & ! [D] : ( v1_int_1(D) => B != k2_xcmplx_0(C,k3_xcmplx_0(D,A)) ) ) ) ) ) )).
fof(l30_binop_2,axiom,( r3_binop_1(k3_numbers,c2__binop_2,k15_binop_2) )).
fof(l30_collsp,axiom,( ~ v2_struct_0(c9__collsp) & v2_collsp(c9__collsp) & v3_collsp(c9__collsp) & l1_collsp(c9__collsp) )).
fof(l30_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_complex1(k2_xcmplx_0(A,B)) = k3_real_1(k3_complex1(A),k3_complex1(B)) & k4_complex1(k2_xcmplx_0(A,B)) = k3_real_1(k4_complex1(A),k4_complex1(B)) ) ) ) )).
fof(l30_csspace,axiom,( v1_funct_1(k8_funcop_1(k2_numbers,k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k5_complex1)) & v1_funct_2(k8_funcop_1(k2_numbers,k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k5_complex1),k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers) & m1_subset_1(k8_funcop_1(k2_numbers,k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k5_complex1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers))) )).
fof(l30_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(A,C,D) = B ) ) => ( v1_dblseq_1(A) & k1_dblseq_1(A) = B ) ) ) ) )).
fof(l30_dist_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_margrel1(B) ) => ! [C] : ( r2_tarski(C,k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => ( k1_funct_1(k13_margrel1(A,B),C) = k7_margrel1 <=> ( k1_funct_1(A,C) = k7_margrel1 & k1_funct_1(B,C) = k7_margrel1 ) ) ) ) ) )).
fof(l30_euclid_9,axiom,( k3_pcomps_1(k14_euclid(k5_numbers)) = k3_waybel18(k1_xboole_0,k7_funcop_1(k1_xboole_0,k3_topmetr)) )).
fof(l30_fib_num4,axiom,( ~ r1_xxreal_0(3,k3_square_1(5)) )).
fof(l30_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( v1_fomodel0(B,k2_zfmisc_1(C,A)) <=> ! [D] : ! [E] : ! [F] : ! [G] : ( ( r2_tarski(D,k3_xboole_0(C,A)) & r2_tarski(E,k3_xboole_0(C,A)) & r2_tarski(F,A) & r2_tarski(G,A) & k1_binop_1(B,D,F) = k1_binop_1(B,E,G) ) => ( D = E & F = G ) ) ) ) ) )).
fof(l30_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,A,D))) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,k2_xcmplx_0(A,E),D))) & k1_funct_1(k22_fomodel2(C,A,D),B) = k1_funct_1(k22_fomodel2(C,k2_xcmplx_0(A,E),D),B) ) ) ) ) ) ) )).
fof(l30_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => r1_tarski(k1_funct_1(k5_fomodel4(C,D,A),B),k5_setfam_1(k1_fomodel4(C),k7_relset_1(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C)),k13_lang1(k9_setfam_1(k1_fomodel4(C)),k4_fomodel4(C,D)),k1_tarski(B)))) ) ) ) )).
fof(l30_funct_9,axiom,( v1_funct_9(k2_fdiff_9,k3_xcmplx_0(2,k28_sin_cos)) )).
fof(l30_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_002(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( ~ v5_glib_002(B,A) <=> ! [C] : ( m2_glib_000(C,A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) => r1_ordinal1(k4_glib_002(C),k4_glib_002(A)) ) ) ) ) )).
fof(l30_goboard7,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),1) ) )).
fof(l30_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ! [F] : ( r1_rewrite1(k3_polyred(A,B,C,D),E,F) => ( E = F | ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) ) ) ) ) ) )).
fof(l30_group_10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => k1_card_1(a_2_2_group_10(A,B)) = k1_card_1(B) ) ) )).
fof(l30_group_17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(C,u1_struct_0(k2_group_7(A,B))) => ! [D] : ~ ( r2_tarski(D,A) & ! [E] : ( ( ~ v2_struct_0(E) & l3_algstr_0(E) ) => ~ ( E = k1_funct_1(B,D) & r2_tarski(k1_funct_1(C,D),u1_struct_0(E)) ) ) ) ) ) ) ) )).
fof(l30_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_3(A,k5_group_1(A,B,k5_ordinal1),C) = k5_group_1(A,k2_group_3(A,B,C),k5_ordinal1) ) ) ) )).
fof(l30_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ( r2_group_9(A,B,C) => r2_group_9(A,C,B) ) ) ) )).
fof(l30_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v13_algstr_0(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v2_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v3_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v4_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v5_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v6_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v7_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v8_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & l1_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) ) ) )).
fof(l30_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,k4_partfun1(A,B)) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k4_partfun1(A,B))) => ~ ( E = k1_tarski(D) & ! [F] : ( m2_subset_1(F,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ~ ( r2_tarski(F,k6_heyting2(A,B,C)) & k4_substlat(A,B,F,E) = k1_xboole_0 & ! [G] : ( m1_subset_1(G,k4_partfun1(A,B)) => ( r2_tarski(G,k1_funct_1(k7_heyting2(A,B,C),F)) => r1_partfun1(G,D) ) ) ) ) ) ) ) ) ) )).
fof(l30_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_aff_1(A,B,C,K) & v7_aff_2(A) & r2_tarski(D,K) & r2_tarski(E,K) & r2_analoaf(A,D,B,E,I) & r2_analoaf(A,D,C,E,J) & r2_aff_1(A,I,J,K) & r2_tarski(F,K) & r2_tarski(G,K) & r2_analoaf(A,F,B,G,I) & r2_aff_1(A,I,H,K) & r2_analoaf(A,F,C,G,H) ) => ( r2_tarski(B,K) | r2_tarski(I,K) | H = J ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l30_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( m1_subset_1(k2_hurwitz(A,B),k4_ordinal1) <=> B != k9_polynom3(A) ) ) ) )).
fof(l30_int_6,axiom,( ! [A] : ( r2_hidden(A,k1_tarski(1)) => r2_hidden(A,k4_numbers) ) )).
fof(l30_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D))) => r1_xxreal_0(k9_complex1(k1_funct_1(F,G)),E) ) ) ) => r1_xxreal_0(k9_complex1(k4_integra5(C,D,F)),k3_xcmplx_0(E,k9_complex1(k6_xcmplx_0(D,C)))) ) ) ) ) ) ) ) )).
fof(l30_jgraph_3,axiom,( ( r1_xxreal_0(k17_euclid(k22_euclid(2)),k18_euclid(k22_euclid(2))) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(k22_euclid(2))),k17_euclid(k22_euclid(2))) ) | ( r1_xxreal_0(k18_euclid(k22_euclid(2)),k17_euclid(k22_euclid(2))) & r1_xxreal_0(k17_euclid(k22_euclid(2)),k4_xcmplx_0(k18_euclid(k22_euclid(2)))) ) )).
fof(l30_jgraph_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = a_0_6_jgraph_5 => ( k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,A) = k1_rcomp_1(k4_xcmplx_0(1),1) & k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,A) = k1_rcomp_1(k4_xcmplx_0(1),1) ) ) ) )).
fof(l30_jordan12,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) & ? [E] : k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C),k1_rltopsp1(k15_euclid(2),A,B)) = k1_tarski(E) & ~ r2_tarski(D,k3_topreal1(2,C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C)),E) & r2_tarski(D,E) & r2_tarski(A,E) ) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C)),E) & r2_tarski(D,E) & r2_tarski(B,E) ) ) ) ) ) ) ) )).
fof(l30_jordan5a,axiom,( k3_topmetr = g1_pre_topc(u1_struct_0(k7_metric_1),k2_pcomps_1(k7_metric_1)) )).
fof(l30_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v7_ordinal1(D) => ( ( v4_topreal1(A) & v4_pre_topc(B,k15_euclid(2)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r2_tarski(C,k2_topreal1(2,A,D)) & r2_tarski(C,B) ) => ( r1_xboole_0(k2_topreal1(2,A,D),B) | r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,D),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)),C,k2_jordan5c(k2_topreal1(2,A,D),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,D),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)))) ) ) ) ) ) ) )).
fof(l30_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( k12_supinf_2(C,D) = k5_numbers & k12_supinf_2(C,E) = k5_numbers ) => k12_supinf_2(C,k1_measure1(A,B,D,E)) = k5_numbers ) ) ) ) ) ) )).
fof(l30_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,C,D),B),k8_cqc_lang(A,k8_cqc_lang(A,C,E),k8_cqc_lang(A,k8_cqc_lang(A,E,B),B))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l30_matrprob,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l30_measure7,axiom,( v1_funct_1(k8_funcop_1(k1_zfmisc_1(k1_numbers),k4_ordinal1,k1_subset_1(k1_numbers))) & v1_funct_2(k8_funcop_1(k1_zfmisc_1(k1_numbers),k4_ordinal1,k1_subset_1(k1_numbers)),k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(k8_funcop_1(k1_zfmisc_1(k1_numbers),k4_ordinal1,k1_subset_1(k1_numbers)),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) )).
fof(l30_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v6_supinf_2(k1_mesfunc2(A,D)) & v6_supinf_2(k2_mesfunc2(A,D)) & v6_supinf_2(k9_mesfunc1(A,D)) ) ) ) ) ) )).
fof(l30_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v2_modelc_1(A) => ( k1_funct_1(A,1) != k5_numbers & k1_funct_1(A,1) != 1 & k1_funct_1(A,1) != 2 & k1_funct_1(A,1) != 3 & k1_funct_1(A,1) != 4 ) ) ) )).
fof(l30_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_int_2(k1_nat_1(A,2)) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(A)) & B != 1 & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & C != 1 & C != B & k4_nat_d(k3_xcmplx_0(B,C),k1_nat_1(A,2)) = 1 ) ) ) ) ) ) )).
fof(l30_nat_lat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( u2_lattices(A) = k1_realset1(u2_lattices(A),u1_struct_0(A)) & u1_lattices(A) = k1_realset1(u1_lattices(A),u1_struct_0(A)) ) ) )).
fof(l30_ndiff_4,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l30_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(k1_newton(C,D),k2_xcmplx_0(k1_newton(A,D),k1_newton(B,D))) & ~ r1_xxreal_0(A,k5_ordinal1) & r1_xxreal_0(k1_newton(C,k2_xcmplx_0(D,1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(D,1)),k1_newton(B,k2_xcmplx_0(D,1)))) ) ) ) ) ) )).
fof(l30_ntalgo_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( ( r1_xxreal_0(2,k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) & r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) ) => ( C = D | r1_int_2(k1_funct_1(A,C),k1_funct_1(A,D)) ) ) ) ) & k1_funct_1(B,1) = 1 ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,C) ) => k1_funct_1(B,k1_nat_1(D,1)) = k3_xcmplx_0(k1_funct_1(B,D),k1_funct_1(A,D)) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k1_nat_1(C,1),D) & r1_xxreal_0(D,k3_finseq_1(A)) ) => r1_int_2(k1_funct_1(B,k1_nat_1(C,1)),k1_funct_1(A,D)) ) ) ) ) ) ) ) )).
fof(l30_ordeq_02,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(E,F) = k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),A),k2_newton(A)),D)) ) => ! [F] : ( v1_xreal_0(F) => r1_fdiff_1(E,F) ) ) ) ) ) ) ) )).
fof(l30_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => r1_tarski(k1_relat_1(k5_poset_1(A,B)),k4_poset_1(A,B)) ) ) )).
fof(l30_radix_1,axiom,( ! [A] : ( v1_int_1(A) => ( r1_xxreal_0(k4_xcmplx_0(1),k11_radix_1(A)) & r1_xxreal_0(k11_radix_1(A),1) ) ) )).
fof(l30_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ? [C] : ( v7_ordinal1(C) & k8_nat_1(k4_ordinal1,k1_real_3(B,A),C) = k5_numbers ) ) ) )).
fof(l30_realset2,axiom,( ~ v2_struct_0(g6_algstr_0(c4__realset2,c8__realset2,c9__realset2,c7__realset2,c5__realset2)) & l6_algstr_0(g6_algstr_0(c4__realset2,c8__realset2,c9__realset2,c7__realset2,c5__realset2)) )).
fof(l30_rfinseq,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( m2_finseq_1(B,k1_numbers) => ~ ( A = k3_finseq_1(B) & ! [C] : ( ( v8_valued_0(C) & m2_finseq_1(C,k1_numbers) ) => ~ r2_classes1(B,C) ) ) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ~ ( k1_nat_1(A,1) = k3_finseq_1(B) & ! [C] : ( ( v8_valued_0(C) & m2_finseq_1(C,k1_numbers) ) => ~ r2_classes1(B,C) ) ) ) ) ) )).
fof(l30_rlaffin2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_rlvect_2(E,C) => ! [F] : ( m1_rlvect_2(F,C) => ( k3_funct_2(u1_struct_0(C),k1_numbers,E,D) != k3_funct_2(u1_struct_0(C),k1_numbers,F,D) => ( k3_funct_2(u1_struct_0(C),k1_numbers,k7_rlvect_2(C,k8_rlvect_2(C,A,E),k8_rlvect_2(C,k6_xcmplx_0(1,A),F)),D) = B <=> A = k7_xcmplx_0(k6_xcmplx_0(k3_funct_2(u1_struct_0(C),k1_numbers,F,D),B),k5_real_1(k3_funct_2(u1_struct_0(C),k1_numbers,F,D),k3_funct_2(u1_struct_0(C),k1_numbers,E,D))) ) ) ) ) ) ) ) ) )).
fof(l30_rlaffin3,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l30_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => u1_struct_0(k1_rlsub_2(A,k2_rlsub_2(A,B,C),C)) = u1_struct_0(C) ) ) ) )).
fof(l30_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => u1_struct_0(k1_rusub_2(A,k2_rusub_2(A,B,C),C)) = u1_struct_0(C) ) ) ) )).
fof(l30_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_scm_comp)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_scm_comp)) => ( ( D = k1_bintree1(u1_struct_0(k1_scm_comp),B) & E = k1_bintree1(u1_struct_0(k1_scm_comp),C) & r1_lang1(k1_scm_comp,A,k4_pre_poly(u1_struct_0(k1_scm_comp),D,E)) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( F = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,c8__scm_comp,B) & G = k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,c8__scm_comp,C) ) => k3_funct_2(k4_dtconstr(k1_scm_comp),k4_ordinal1,c8__scm_comp,k2_scm_comp(A,B,C)) = k5_nat_1(F,G) ) ) ) ) ) ) ) ) ) )).
fof(l30_scmpds_8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => r1_tarski(k61_valued_1(A,1),k2_scmpds_8(B,C,A)) ) ) ) )).
fof(l30_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k9_scmpds_2(A,B,5)) = k1_xboole_0 ) ) )).
fof(l30_scmpds_i,axiom,( ! [A] : ( m1_subset_1(A,k1_scmpds_i) => ( ~ ( k5_compos_0(k1_scmpds_i,A) != 9 & k5_compos_0(k1_scmpds_i,A) != 10 & k5_compos_0(k1_scmpds_i,A) != 11 & k5_compos_0(k1_scmpds_i,A) != 12 & k5_compos_0(k1_scmpds_i,A) != 13 ) => k2_compos_0(A) = k1_xboole_0 ) ) )).
fof(l30_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(4)) = k2_xcmplx_0(D,k1_funct_1(B,k1_scmp_gcd(5))) & D = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) & k1_funct_1(B,k1_scmp_gcd(2)) = C & r1_xxreal_0(8,C) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(5)),k5_numbers) | ( r1_scmpds_6(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A) & r2_scmpds_6(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(2)) = C & r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(3)),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(3))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(4)),k1_funct_1(B,k1_scmp_gcd(4))) & r1_xxreal_0(D,k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(4))) & ~ r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(5)),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(5))) & r1_xxreal_0(k4_xcmplx_0(1),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(5))) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(4)) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(3)),1),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(5))) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & E = k6_xcmplx_0(k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(3)),1) & F = k2_xcmplx_0(k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(4)),1) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(8,G) => ( G = E | G = F | k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(G)) = k1_funct_1(B,k1_scmp_gcd(G)) ) ) ) & ( ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(E)) = k1_funct_1(B,k1_scmp_gcd(E)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(F)) = k1_funct_1(B,k1_scmp_gcd(F)) ) | ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(3)),E) & r1_xxreal_0(F,k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(E)) = k1_funct_1(B,k1_scmp_gcd(F)) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(F)) = k1_funct_1(B,k1_scmp_gcd(E)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(3)),G) & r1_xxreal_0(G,E) ) => r1_xxreal_0(k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(G)),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(C))) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(F,G) & r1_xxreal_0(G,k1_funct_1(B,k1_scmp_gcd(4))) ) => r1_xxreal_0(k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(C)),k1_funct_1(k6_scmpds_4(k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))))),B,A),k1_scmp_gcd(G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l30_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [E] : ( m2_finseq_1(E,A) => ( k4_binop_1(A,D,C,B) = C => r2_funct_2(k4_ordinal1,A,k9_funcop_1(A,k4_ordinal1,D,k1_setwop_2(A,E,C),B),k1_setwop_2(A,k2_finseqop(A,A,A,D,E,B),C)) ) ) ) ) ) ) )).
fof(l30_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_simplex0(A) => v1_finset_1(u1_pre_topc(A)) ) ) )).
fof(l30_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k1_sin_cos2,k3_xcmplx_0(2,A)) = k3_xcmplx_0(k3_xcmplx_0(2,k1_funct_1(k1_sin_cos2,A)),k1_funct_1(k3_sin_cos2,A)) & k1_funct_1(k3_sin_cos2,k3_xcmplx_0(2,A)) = k6_xcmplx_0(k3_xcmplx_0(2,k1_square_1(k1_funct_1(k3_sin_cos2,A))),1) ) ) )).
fof(l30_sincos10,axiom,( r1_tarski(k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k1_relset_1(k1_numbers,k2_fdiff_9)) )).
fof(l30_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( v2_topreal1(A) => v2_topreal1(k2_rfinseq(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(l30_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l30_srings_2,axiom,( k3_xboole_0(k2_enumset1(1,2,3,4),k1_tarski(1)) = k1_tarski(1) )).
fof(l30_taxonom2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ~ ( r1_tarski(A,B) & r1_xboole_0(A,B) ) ) )).
fof(l30_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_topdim_1(A) => v1_topdim_1(B,A) ) ) ) )).
fof(l30_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v3_topdim_1(k15_euclid(A)) & r1_xxreal_0(k4_topdim_1(k15_euclid(A)),A) ) ) )).
fof(l30_topreal2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( A != B & r2_tarski(B,k1_topreal1) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1))) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),A,B,C) & r1_topreal1(k15_euclid(2),A,B,D) & k1_topreal1 = k4_subset_1(u1_struct_0(k15_euclid(2)),C,D) & k9_subset_1(u1_struct_0(k15_euclid(2)),C,D) = k2_tarski(A,B) ) ) ) ) ) ) )).
fof(l30_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_transgeo(A) & l1_analoaf(A) ) => r1_relat_2(u1_analoaf(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) )).
fof(l30_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(k4_facirc_1,k11_finseq_1(A,B,C)) = k8_margrel1(k9_margrel1(k9_margrel1(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C))) ) ) ) )).
fof(l30_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v23_waybel_0(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_waybel_3(A,D,E) => r1_waybel_3(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(l30_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( r2_tarski(A,k4_finseq_1(B)) & B = k7_finseq_1(k7_finseq_1(C,k9_finseq_1(E)),D) & k3_finseq_1(C) = k6_xcmplx_0(A,1) ) => k2_finseq_3(A,B) = k7_finseq_1(C,D) ) ) ) ) ) )).
fof(l30_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k6_xcmplx_0(A,B),C) => r1_xxreal_0(A,k2_xcmplx_0(B,C)) ) ) ) ) )).
fof(l30_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ v7_struct_0(k1_yellow_1(u1_pre_topc(A))) ) )).
fof(l30_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul02(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_zmodul03(B,k33_zmodul02(A,B)) ) ) )).
fof(l31_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_algstr_0)) => k6_algstr_0(k8_algstr_0,A,B) = k6_algstr_0(k8_algstr_0,B,A) ) ) )).
fof(l31_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) <=> ~ ( A != k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k2_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k3_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k4_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k5_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k6_ami_3(B,C) ) ) & ! [B] : ( v7_ordinal1(B) => A != k7_ami_3(B) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( v7_ordinal1(C) => A != k8_ami_3(C,B) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( v7_ordinal1(C) => A != k9_ami_3(C,B) ) ) ) ) )).
fof(l31_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( D = k3_rlvect_1(A,k1_rlvect_1(A,C,G),k1_rlvect_1(A,F,H)) & F = k3_rlvect_1(A,B,k1_rlvect_1(A,E,I)) ) => D = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,H),k1_rlvect_1(A,C,G)),k1_rlvect_1(A,E,k3_xcmplx_0(H,I))) ) ) ) ) ) ) ) ) ) ) )).
fof(l31_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( ( r1_arytm_2(A,B) & r1_arytm_2(B,A) ) => A = B ) ) ) )).
fof(l31_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_autalg_1(C,u1_struct_0(A),u3_msualg_1(A,B),k5_autalg_1(A,B)) => ( v1_msualg_3(C) & v2_msualg_3(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) ) )).
fof(l31_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => r1_tarski(u1_struct_0(A),k4_bcialg_1(A)) ) )).
fof(l31_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_series_1(2,A),B) => ( r1_xxreal_0(k5_series_1(2,k2_xcmplx_0(A,1)),B) | k1_binari_3(k2_xcmplx_0(A,1),B) = k9_binarith(A,1,k5_margrel1,k1_binari_3(A,k7_nat_d(B,k5_series_1(2,A))),k10_binarith(k5_margrel1,k7_margrel1)) ) ) ) ) )).
fof(l31_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( k4_nat_d(B,A) = k4_nat_d(C,A) & ! [D] : ( v1_int_1(D) => B != k2_xcmplx_0(C,k3_xcmplx_0(D,A)) ) ) ) ) ) )).
fof(l31_binop_2,axiom,( m1_subset_1(k5_numbers,k4_numbers) )).
fof(l31_cfuncdom,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ? [B] : ? [C] : ( A = k2_tarski(B,C) & B != C ) ) )).
fof(l31_coh_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( k4_tarski(k4_tarski(A,C),E) = k4_tarski(k4_tarski(B,D),F) => ( A = B & C = D ) ) )).
fof(l31_complex1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k3_complex1(k3_xcmplx_0(A,k7_complex1)) = k5_numbers ) )).
fof(l31_csspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),A,B)) = k5_complex1 ) ) )).
fof(l31_descip_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k5_card_1(A),k2_finseq_1(A)) & v1_descip_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k2_finseq_1(A)))) ) => k2_relset_1(k2_finseq_1(A),B) = k2_finseq_1(A) ) ) )).
fof(l31_dist_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) => ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => ( k1_funct_1(k12_margrel1(A),B) = k7_margrel1 <=> k1_funct_1(A,B) = k6_margrel1 ) ) ) )).
fof(l31_dtconstr,axiom,( v1_dtconstr(k5_dtconstr) & v2_dtconstr(k5_dtconstr) & v3_dtconstr(k5_dtconstr) )).
fof(l31_fib_num4,axiom,( ~ r1_xxreal_0(k6_xcmplx_0(3,3),k6_xcmplx_0(k3_square_1(5),3)) )).
fof(l31_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_tarski(D,k2_xboole_0(k2_xboole_0(A,B),C)) <=> ~ ( ~ r2_tarski(D,A) & ~ r2_tarski(D,B) & ~ r2_tarski(D,C) ) ) )).
fof(l31_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( v5_fomodel4(E,A,C,D,B) => v4_fomodel4(k1_tarski(E),C,D,B) ) ) ) ) )).
fof(l31_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k24_gfacirc1(A,B,C) != k4_tarski(D,k3_gfacirc1) )).
fof(l31_funct_9,axiom,( v1_funct_9(k1_fdiff_9,k3_xcmplx_0(2,k28_sin_cos)) )).
fof(l31_gaussint,axiom,( k1_realset1(k9_binop_2,k3_numbers) = k15_binop_2 )).
fof(l31_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_002(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m2_glib_000(C,A,k6_subset_1(k6_glib_000(A),k1_tarski(B)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(B)))) => ( ~ v5_glib_002(B,A) => v1_glib_002(C) ) ) ) ) )).
fof(l31_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_funct_2(u1_struct_0(A),k1_funct_2(B,B),u1_struct_0(A),k1_funct_2(k2_zfmisc_1(u1_struct_0(A),C),k2_zfmisc_1(u1_struct_0(A),C)),D,k7_group_10(A,C)) & E = k7_group_1(A) & B = k2_zfmisc_1(u1_struct_0(A),C) & r1_ordinal1(k4_card_1(E),k1_card_1(B)) ) => k12_group_10(A,k3_group_10(B,E),k5_group_10(B,E,A,D)) = a_2_4_group_10(A,C) ) ) ) ) ) ) )).
fof(l31_group_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k2_group_3(B,k5_group_1(B,C,A),D) = k5_group_1(B,k2_group_3(B,C,D),A) ) ) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k2_group_3(B,k5_group_1(B,C,k1_nat_1(A,1)),D) = k5_group_1(B,k2_group_3(B,C,D),k1_nat_1(A,1)) ) ) ) ) ) )).
fof(l31_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) ) => ( B = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) => ! [D] : ( m1_rlsub_1(D,A) => ( C = g1_rlvect_1(u1_struct_0(D),u2_struct_0(D),u1_algstr_0(D),u1_rlvect_1(D)) => m1_rlsub_1(C,B) ) ) ) ) ) ) )).
fof(l31_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ! [C] : ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [D] : ( m2_funct_2(D,k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k9_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)))) => k3_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k6_funcop_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A),k5_heyting1(A),D,k6_funct_3(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A))),C) = k3_normform(k5_finsub_1(A),k5_finsub_1(A),k3_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),D,C),C) ) ) ) )).
fof(l31_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_aff_1(A,B,C,G) & v7_aff_2(A) ) => ( r2_tarski(B,G) | ( ~ ( r2_tarski(E,G) & E = F ) & ~ ( ~ r2_tarski(E,G) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(H,G) & r2_tarski(I,G) & r2_analoaf(A,H,B,I,E) & r2_analoaf(A,H,C,I,F) & r2_aff_1(A,E,F,G) ) ) ) ) | ( ~ ( r2_tarski(D,G) & D = F ) & ~ ( ~ r2_tarski(D,G) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(H,G) & r2_tarski(I,G) & r2_analoaf(A,H,B,I,D) & r2_analoaf(A,H,C,I,F) & r2_aff_1(A,D,F,G) ) ) ) ) | E = D ) ) ) ) ) ) ) ) ) )).
fof(l31_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integr15(E,k3_integra5(A,B),F) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(E,k1_numbers,F)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(E),F,k3_integra5(A,B)),E) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_integr15(E,k3_integra5(C,D),F) & r1_integra5(k3_integra5(C,D),k1_nfcont_4(E,k1_numbers,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k1_nfcont_4(E,k1_numbers,F),k3_integra5(C,D))) & r1_xxreal_0(k12_euclid(k12_integr15(C,D,E,F)),k4_integra5(C,D,k1_nfcont_4(E,k1_numbers,F))) ) ) ) ) ) ) ) ) )).
fof(l31_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k3_integra5(C,D)) => r1_xxreal_0(k9_complex1(k1_funct_1(F,G)),E) ) ) ) => r1_xxreal_0(k9_complex1(k4_integra5(C,D,F)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) ) ) ) ) ) ) ) )).
fof(l31_jgraph_3,axiom,( k22_euclid(2) != k4_struct_0(k15_euclid(2)) )).
fof(l31_jgraph_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = a_0_6_jgraph_5 => k6_pscomp_1(A) = k4_xcmplx_0(1) ) ) )).
fof(l31_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v7_ordinal1(D) => ( ( v4_topreal1(A) & v4_pre_topc(B,k15_euclid(2)) & r2_tarski(k2_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),k2_topreal1(2,A,D)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r2_tarski(C,k2_topreal1(2,A,D)) & r2_tarski(C,B) ) => ( r1_xboole_0(k3_topreal1(2,A),B) | r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,D),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)),C,k2_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)))) ) ) ) ) ) ) )).
fof(l31_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,C) => ( k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,F,G)) = a_7_0_lfuzzy_0(A,B,C,D,E,F,G) & k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,F,G)) != k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(l31_limfunc1,axiom,( v1_funct_1(k6_partfun1(k4_ordinal1)) & v1_funct_2(k6_partfun1(k4_ordinal1),k4_ordinal1,k1_numbers) & m1_subset_1(k6_partfun1(k4_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) )).
fof(l31_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,C,E),k8_cqc_lang(A,k8_cqc_lang(A,E,k8_cqc_lang(A,B,k8_cqc_lang(A,C,D))),k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l31_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ~ ( ~ ( v2_modelc_1(A) & k1_funct_1(A,1) != k5_numbers & k1_funct_1(A,1) != 1 & k1_funct_1(A,1) != 2 & k1_funct_1(A,1) != 3 & k1_funct_1(A,1) != 4 ) & ~ ( v3_modelc_1(A) & k1_funct_1(A,1) = k5_numbers ) & ~ ( v4_modelc_1(A) & k1_funct_1(A,1) = 1 ) & ~ ( v5_modelc_1(A) & k1_funct_1(A,1) = 2 ) & ~ ( v6_modelc_1(A) & k1_funct_1(A,1) = 3 ) & ~ ( v7_modelc_1(A) & k1_funct_1(A,1) = 4 ) ) ) )).
fof(l31_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( B = k7_finseq_1(A,C) => B = A ) ) ) ) )).
fof(l31_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( ( v1_int_2(k1_nat_1(A,2)) & r1_tarski(k1_rvsum_1(B),k2_finseq_1(A)) & v2_funct_1(B) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k1_rvsum_1(B)) & C != 1 & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k1_rvsum_1(B)) & D != 1 & D != C & k4_nat_d(k3_xcmplx_0(C,D),k1_nat_1(A,2)) = 1 ) ) ) ) ) => k4_nat_d(k2_wsierp_1(B),k1_nat_1(A,2)) = 1 ) ) ) )).
fof(l31_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( ( r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) ) => ! [F] : ( m1_nattra_1(F,A,B,C,D) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( k2_cat_1(A,G,H) != k1_xboole_0 => ! [I] : ( m1_cat_1(I,A,G,H) => k5_cat_1(B,k8_cat_1(A,B,C,G),k8_cat_1(A,B,C,H),k8_cat_1(A,B,D,H),k9_cat_3(A,G,H,B,C,I),k2_nattra_1(A,B,C,D,F,H)) = k5_cat_1(B,k8_cat_1(A,B,C,G),k8_cat_1(A,B,D,G),k8_cat_1(A,B,D,H),k2_nattra_1(A,B,C,D,F,G),k9_cat_3(A,G,H,B,D,I)) ) ) ) ) => ! [G] : ( m1_nattra_1(G,A,B,D,E) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( k2_cat_1(A,H,I) != k1_xboole_0 => ! [J] : ( m1_cat_1(J,A,H,I) => k5_cat_1(B,k8_cat_1(A,B,D,H),k8_cat_1(A,B,D,I),k8_cat_1(A,B,E,I),k9_cat_3(A,H,I,B,D,J),k2_nattra_1(A,B,D,E,G,I)) = k5_cat_1(B,k8_cat_1(A,B,D,H),k8_cat_1(A,B,E,H),k8_cat_1(A,B,E,I),k2_nattra_1(A,B,D,E,G,H),k9_cat_3(A,H,I,B,E,J)) ) ) ) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( k2_cat_1(A,H,I) != k1_xboole_0 => ! [J] : ( m1_cat_1(J,A,H,I) => k5_cat_1(B,k8_cat_1(A,B,C,H),k8_cat_1(A,B,C,I),k8_cat_1(A,B,E,I),k9_cat_3(A,H,I,B,C,J),k2_nattra_1(A,B,C,E,k3_nattra_1(A,B,C,D,E,F,G),I)) = k5_cat_1(B,k8_cat_1(A,B,C,H),k8_cat_1(A,B,E,H),k8_cat_1(A,B,E,I),k2_nattra_1(A,B,C,E,k3_nattra_1(A,B,C,D,E,F,G),H),k9_cat_3(A,H,I,B,E,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l31_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(k1_newton(C,D),k2_xcmplx_0(k1_newton(A,D),k1_newton(B,D))) & r1_xxreal_0(k1_newton(C,k2_xcmplx_0(D,1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(D,1)),k1_newton(B,k2_xcmplx_0(D,1)))) ) ) ) ) ) )).
fof(l31_ntalgo_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_funct_1(B,1) = 1 ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,C) ) => k1_funct_1(B,k1_nat_1(D,1)) = k3_xcmplx_0(k1_funct_1(B,D),k1_funct_1(A,D)) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,C) ) => k5_int_1(k1_funct_1(B,k1_nat_1(C,1)),k1_funct_1(A,D)) = k5_numbers ) ) ) ) ) ) ) )).
fof(l31_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & ~ ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => k5_cat_1(A,B,C,D,E,F) = k5_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,D),k3_oppcat_1(A,C),k3_oppcat_1(A,B),k7_oppcat_1(A,C,D,F),k7_oppcat_1(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(l31_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k9_rsspace4(A,B)))) => ( C = k1_ordeq_01(A,B) => v2_nfcont_1(C,k9_rsspace4(A,B)) ) ) ) ) )).
fof(l31_ordeq_02,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,D) & ! [G] : ( v1_xreal_0(G) => k1_funct_1(F,G) = k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(G,B)),A),k2_newton(A)),E)) ) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(B,D))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(B,D))) & r1_integra5(k3_integra5(B,D),F) & k4_integra5(B,D,F) = k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(D,B)),k1_nat_1(A,1)),k2_newton(k1_nat_1(A,1))),E) ) ) ) ) ) ) ) ) )).
fof(l31_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => r1_relat_2(k5_poset_1(A,B),k4_poset_1(A,B)) ) ) )).
fof(l31_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_prelamb(A,B,E) & r2_prelamb(A,k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),D)),F) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,D,E))),B),F) ) ) ) ) ) ) ) )).
fof(l31_prvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( ( v3_normsp_1(B,A) & k5_normsp_1(A,B) = C ) => ( v2_comseq_2(k5_normsp_0(A,k3_normsp_1(A,B,C))) & k1_seq_2(k5_normsp_0(A,k3_normsp_1(A,B,C))) = k5_numbers ) ) & ( ( v2_comseq_2(k5_normsp_0(A,k3_normsp_1(A,B,C))) & k1_seq_2(k5_normsp_0(A,k3_normsp_1(A,B,C))) = k5_numbers ) => ( v3_normsp_1(B,A) & k5_normsp_1(A,B) = C ) ) ) ) ) ) )).
fof(l31_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v4_c0sp1(k3_random_2(A,B),k12_funcsdom(A)) & v3_c0sp1(k3_random_2(A,B),k12_funcsdom(A)) ) ) ) )).
fof(l31_realset2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c10__realset2)) => k1_algstr_0(c10__realset2,A,k4_struct_0(c10__realset2)) = A ) )).
fof(l31_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k3_sf_mastr(k2_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers)))) = k3_sf_mastr(k1_funct_7(k2_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(B),2),k11_scmfsa_2(k5_numbers))) ) ) )).
fof(l31_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( C != 5 => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k9_scmpds_2(A,B,C)) = k1_xboole_0 ) ) ) ) )).
fof(l31_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k3_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(l31_scpinvar,axiom,( k4_card_1(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2))) = 6 )).
fof(l31_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(B,k1_scmp_gcd(6))),k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(6)),k5_numbers) | k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A) = k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers)))),B,A)),A) ) ) ) ) )).
fof(l31_scpqsort,axiom,( ! [A] : ( v1_int_1(A) => ~ ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,k5_numbers) & A != k4_xcmplx_0(1) & A != k5_numbers ) ) )).
fof(l31_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [E] : ( m2_finseq_1(E,A) => ( k4_binop_1(A,D,B,C) = C => r2_funct_2(k4_ordinal1,A,k10_funcop_1(A,k4_ordinal1,D,B,k1_setwop_2(A,E,C)),k1_setwop_2(A,k3_finseqop(A,A,A,D,B,E),C)) ) ) ) ) ) ) )).
fof(l31_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => k2_xcmplx_0(1,k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(A))) != k5_numbers ) )).
fof(l31_sincos10,axiom,( r1_tarski(k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))),k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)) )).
fof(l31_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => m1_subset_1(a_2_0_sppol_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) ) )).
fof(l31_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( k3_tarski(C) = A <=> m1_setfam_1(C,A) ) ) ) )).
fof(l31_srings_2,axiom,( k3_xboole_0(k2_enumset1(1,2,3,4),k1_tarski(2)) = k1_tarski(2) )).
fof(l31_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_termord(A,B,C,D) = k4_struct_0(C) <=> r8_pboole(k15_pre_poly(A),D,k8_polynom1(A,C)) ) ) ) ) ) )).
fof(l31_topreal2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( A != B & r2_tarski(B,k1_topreal1) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),A,B,C) & r1_topreal1(k15_euclid(2),A,B,D) & k1_topreal1 = k4_subset_1(u1_struct_0(k15_euclid(2)),C,D) & k9_subset_1(u1_struct_0(k15_euclid(2)),C,D) = k2_tarski(A,B) ) ) ) ) ) ) )).
fof(l31_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_transgeo(A) & l1_analoaf(A) ) => r3_relat_2(u1_analoaf(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) )).
fof(l31_valued_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_membered(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_membered(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k1_relset_1(A,k51_valued_1(A,B,C,D,E)) = A ) ) ) ) )).
fof(l31_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v2_rlvect_1(g1_vectsp_2(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) & v3_rlvect_1(g1_vectsp_2(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) & v4_rlvect_1(g1_vectsp_2(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) & v13_algstr_0(g1_vectsp_2(A,u1_struct_0(A),u1_algstr_0(A),k4_struct_0(A),u2_algstr_0(A))) ) ) )).
fof(l31_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => r3_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_waybel11(A,D)),k1_waybel11(B,k6_waybel_9(A,B,C,D))) ) => v22_waybel_0(C,A,B) ) ) ) ) )).
fof(l31_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v3_pre_topc(k5_waybel26(D),k2_borsuk_1(B,A)) & m1_subset_1(k5_waybel26(D),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) ) ) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => v23_waybel_0(k3_waybel29(B,A),k1_yellow_1(u1_pre_topc(k2_borsuk_1(B,A))),k3_waybel24(B,k1_waybel29(k1_yellow_1(u1_pre_topc(A))))) ) ) ) )).
fof(l31_weierstr,axiom,( k2_struct_0(k3_topmetr) != k1_xboole_0 )).
fof(l31_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_tarski(k4_finseq_1(k2_finseq_3(A,B)),k4_finseq_1(B)) ) ) )).
fof(l31_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( k4_xboole_0(k2_tarski(A,B),C) = k1_tarski(A) <=> ( ~ r2_hidden(A,C) & ( r2_hidden(B,C) | A = B ) ) ) )).
fof(l32_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ( v2_extpro_1(A,k5_card_1(2),k1_ami_3) => A = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) ) ) )).
fof(l32_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( E = k3_rlvect_1(A,k1_rlvect_1(A,F,G),k1_rlvect_1(A,D,H)) & D = k3_rlvect_1(A,B,k1_rlvect_1(A,C,I)) ) => E = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,H),k1_rlvect_1(A,C,k3_xcmplx_0(H,I))),k1_rlvect_1(A,F,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(l32_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( k3_arytm_2(A) = k3_arytm_2(B) => A = B ) ) ) )).
fof(l32_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(1,C) ) => ( r1_xxreal_0(A,1) | r1_xxreal_0(k3_power(B,C),k3_power(A,C)) ) ) ) ) ) )).
fof(l32_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k5_series_1(2,A),B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( C = k5_euclid(A) => ( k1_binari_3(A,B) = k3_binarith(A,C) <=> B = k6_xcmplx_0(k5_series_1(2,A),1) ) ) ) ) ) ) )).
fof(l32_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k4_nat_d(B,k5_series_1(2,A)) = k4_nat_d(C,k5_series_1(2,A)) => ( r1_xxreal_0(A,D) | k4_nat_d(k3_nat_d(B,k5_series_1(2,D)),2) = k4_nat_d(k3_nat_d(C,k5_series_1(2,D)),2) ) ) ) ) ) ) )).
fof(l32_binop_2,axiom,( r3_binop_1(k4_numbers,c3__binop_2,k20_binop_2) )).
fof(l32_complex1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k4_complex1(k3_xcmplx_0(A,k7_complex1)) = A ) )).
fof(l32_csspace,axiom,( r2_tarski(k4_struct_0(o_0_5_csspace),u1_struct_0(k3_clvect_1(o_0_5_csspace))) )).
fof(l32_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v1_dualsp02(A) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ v4_normsp_3(C,A,B) ) | v1_dualsp02(B) ) ) ) ) )).
fof(l32_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_subset_1(C,A,B) => ! [D] : ( m2_subset_1(D,A,B) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( ( C = E & D = F ) => k7_ens_1(B,C,D) = k7_ens_1(A,E,F) ) ) ) ) ) ) ) )).
fof(l32_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => k5_algstr_0(A,k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)),k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G))) = k3_rlvect_1(A,k1_rlvect_1(A,B,k6_xcmplx_0(D,F)),k1_rlvect_1(A,C,k6_xcmplx_0(E,G))) ) ) ) ) ) ) ) )).
fof(l32_fib_num4,axiom,( ~ r1_xxreal_0(k5_numbers,k7_xcmplx_0(k6_xcmplx_0(k3_square_1(5),3),2)) )).
fof(l32_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,A,k4_finseq_2(k2_xcmplx_0(D,1),A)) => k1_funct_1(k6_fomodel0(A,B),k1_monoid_0(A,k12_finseq_1(A,C),E)) = k1_binop_1(B,C,k1_funct_1(k6_fomodel0(A,B),E)) ) ) ) ) ) ) )).
fof(l32_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(A,C)) => ! [G] : ( m2_subset_1(G,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),E,G),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,D,B))) => r2_tarski(k1_domain_1(k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),F,G),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,D,C))) ) ) ) ) ) ) ) ) )).
fof(l32_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k8_fomodel3(A,B,D,C) = a_4_6_fomodel3(A,B,C,D) ) ) ) ) )).
fof(l32_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_fomodel4(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_fomodel4(A))) => ( ( r1_tarski(D,E) & r1_tarski(B,C) ) => ( ( ~ v7_fomodel4(C,A) & ~ v7_fomodel4(B,A) ) | r1_tarski(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k4_fomodel4(A,B),D),k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k4_fomodel4(A,C),E)) ) ) ) ) ) ) ) )).
fof(l32_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ! [E] : ! [F] : r1_xboole_0(k2_msafree2(k25_gfacirc1(A,B,C)),k3_msafree2(k37_gfacirc1(D,E,F))) ) ) ) )).
fof(l32_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k1_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(l32_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v11_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ! [H] : ( m2_functor2(H,B,C,F,G) => ! [I] : ( m2_functor2(I,A,B,D,E) => ( ( r2_functor2(A,B,D,E) & r2_functor2(B,C,F,G) ) => ( r2_functor2(A,C,k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,E,G)) & m2_functor2(k7_functor3(A,B,C,D,E,F,G,I,H),A,C,k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,E,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l32_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v1_algstr_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( m2_finseq_2(C,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => k4_fvsum_1(A,B,C,k6_fvsum_1(A,B,C)) = k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B)) ) ) ) )).
fof(l32_gaussint,axiom,( k1_realset1(k11_binop_2,k3_numbers) = k17_binop_2 )).
fof(l32_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v1_glib_002(A) ) => ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & ? [C] : ( m1_subset_1(C,k6_glib_000(A)) & B != C & ~ v5_glib_002(B,A) & ~ v5_glib_002(C,A) ) ) ) )).
fof(l32_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) => ( k3_polynom1(k15_pre_poly(A),C,k2_groeb_3(A,C,D,k3_groeb_3(A,B,C,D,E))) = k3_groeb_3(A,B,C,D,E) & k3_polynom1(k15_pre_poly(A),C,k2_groeb_3(A,C,D,k4_groeb_3(A,B,C,D,E))) = k4_groeb_3(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(l32_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ~ ( A = k3_xcmplx_0(k1_newton(D,C),B) & ~ r1_nat_d(D,B) & k4_nat_d(k4_newton(k1_newton(D,C),A),D) = k5_numbers ) ) ) ) ) )).
fof(l32_group_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k2_group_3(B,k5_group_1(B,C,A),D) = k5_group_1(B,k2_group_3(B,C,D),A) ) ) ) ) )).
fof(l32_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k1_group_1(B)) = k1_group_1(C) ) ) ) )).
fof(l32_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( B = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v2_hahnban(C,B) & v3_hahnban(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v2_hahnban(C,A) & v3_hahnban(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) ) )).
fof(l32_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k4_partfun1(A,B)) => ( v1_finset_1(C) => k3_funct_2(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B)),k8_heyting2(A,B),C) = k1_tarski(C) ) ) ) )).
fof(l32_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(A,1) => k3_xcmplx_0(k7_xcmplx_0(k2_newton(B),k2_newton(A)),A) = k7_xcmplx_0(k2_newton(B),k2_newton(k7_nat_d(A,1))) ) ) ) )).
fof(l32_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_aff_1(A,B,C,D) & ~ r2_tarski(B,D) & v7_aff_2(A) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = G <=> ( ( r2_tarski(F,D) & F = G ) | ( ~ r2_tarski(F,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(H,D) & r2_tarski(I,D) & r2_analoaf(A,H,B,I,F) & r2_analoaf(A,H,C,I,G) & r2_aff_1(A,F,G,D) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l32_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_xxreal_0(k4_xcmplx_0(1),k2_hurwitz(A,B)) ) ) )).
fof(l32_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => m2_cat_1(k1_funct_1(k2_xfamily(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B)))),C),k2_index_1(u4_struct_0(A),k3_relat_1(u1_graph_1(A),k1_xfamily(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B))))),C),k2_index_1(u4_struct_0(A),k3_relat_1(u2_graph_1(A),k1_xfamily(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B))))),C)) ) ) ) )).
fof(l32_integr11,axiom,( m1_subset_1(k7_xcmplx_0(k28_sin_cos,2),k1_numbers) & m1_subset_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k1_numbers) )).
fof(l32_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k6_integr18(E,k2_vfunct_1(k1_numbers,E,F,G),C,D) = k5_algstr_0(E,k6_integr18(E,F,C,D),k6_integr18(E,G,C,D)) ) ) ) ) ) ) ) ) )).
fof(l32_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k3_integra5(C,D)) => r1_xxreal_0(k9_complex1(k1_funct_1(F,G)),E) ) ) ) => r1_xxreal_0(k9_complex1(k4_integra5(D,C,F)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) ) ) ) ) ) ) ) )).
fof(l32_interva1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(k2_setfam_1(B,k3_setfam_1(C,D)),k3_setfam_1(k2_setfam_1(B,C),k2_setfam_1(B,D))) ) ) ) )).
fof(l32_limfunc1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_funct_1(c2__limfunc1,A) = A ) )).
fof(l32_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( A = k1_relset_1(A,D) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k5_numbers = k1_funct_1(D,E) ) ) ) => ( r3_mesfunc6(A,B,C,D) & k1_mesfunc6(A,B,C,D) = k5_numbers ) ) ) ) ) ) )).
fof(l32_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,E,k8_cqc_lang(A,B,k8_cqc_lang(A,C,D))),k8_cqc_lang(A,k8_cqc_lang(A,C,E),k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l32_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,1,2,3) != k3_finseq_4(k4_ordinal1,3,2,1) )).
fof(l32_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_membered(D) => ( D = a_3_0_mazurulm(A,B,C) => m1_xxreal_2(k4_xxreal_3(2,k2_normsp_0(A,k5_algstr_0(A,B,k1_rlvect_1(A,k3_rlvect_1(A,B,C),k6_xxreal_3(1,2))))),D) ) ) ) ) ) )).
fof(l32_metric_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(k5_numbers,F) ) => r1_xxreal_0(k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k2_xcmplx_0(A,C)),k1_square_1(k2_xcmplx_0(B,D))),k1_square_1(k2_xcmplx_0(E,F)))),k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(E))),k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C),k1_square_1(D)),k1_square_1(F))))) ) ) ) ) ) ) ) )).
fof(l32_modcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(k11_modcat_1(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(k11_modcat_1(A,B))) => ( k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) => ( k3_graph_1(k11_modcat_1(A,B),k1_cat_1(k11_modcat_1(A,B),C,D)) = k3_graph_1(k11_modcat_1(A,B),C) & k4_graph_1(k11_modcat_1(A,B),k1_cat_1(k11_modcat_1(A,B),C,D)) = k4_graph_1(k11_modcat_1(A,B),D) ) ) ) ) ) ) )).
fof(l32_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => r1_xxreal_0(1,k3_finseq_1(A)) ) )).
fof(l32_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ( k4_modelc_2(C,A) = k4_modelc_2(D,B) => ( C = D & A = B ) ) ) ) ) ) )).
fof(l32_nat_4,axiom,( ~ v1_int_2(6) & ~ v1_int_2(8) & ~ v1_int_2(9) & ~ v1_int_2(10) & ~ v1_int_2(12) & ~ v1_int_2(14) & ~ v1_int_2(15) & ~ v1_int_2(16) & ~ v1_int_2(18) & ~ v1_int_2(20) & ~ v1_int_2(21) & ~ v1_int_2(22) & ~ v1_int_2(24) & ~ v1_int_2(25) & ~ v1_int_2(26) & ~ v1_int_2(27) & ~ v1_int_2(28) )).
fof(l32_ndiff_3,axiom,( v2_rcomp_1(k1_subset_1(k1_numbers)) )).
fof(l32_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v10_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l32_ordeq_02,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( r1_xxreal_0(A,B) & ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( k1_relset_1(k1_numbers,F) = k1_rcomp_1(A,B) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k1_rcomp_1(A,B)) => k1_funct_1(F,G) = k3_xcmplx_0(D,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(G,A)),E),k2_newton(E)),C)) ) ) & v1_fcont_1(F) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(A,B))) & k4_integra5(A,B,F) = k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(B,A)),k1_nat_1(E,1)),k2_newton(k1_nat_1(E,1))),C) ) ) ) ) ) ) ) ) )).
fof(l32_pdiff_7,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l32_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ( ( k3_polynom1(k15_pre_poly(A),B,D) = k2_xboole_0(k3_polynom1(k15_pre_poly(A),B,C),k1_tarski(F)) & ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( G != F => k4_polynom1(A,B,D,G) = k4_polynom1(A,B,C,G) ) ) ) => ( r2_tarski(F,k3_polynom1(k15_pre_poly(A),B,C)) | k2_polynom2(A,B,D,E) = k3_rlvect_1(B,k2_polynom2(A,B,C,E),k6_algstr_0(B,k4_polynom1(A,B,D,F),k1_polynom2(A,F,B,E))) ) ) ) ) ) ) ) ) )).
fof(l32_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,B,C),k1_normsp_1(A,B,k5_vfunct_1(k4_ordinal1,A,C))) ) ) ) )).
fof(l32_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k2_binom(A,k9_algstr_0(A,C),B) = k9_algstr_0(A,k2_binom(A,C,B)) ) ) ) ) )).
fof(l32_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => r8_relat_2(k5_poset_1(A,B),k4_poset_1(A,B)) ) ) )).
fof(l32_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_prelamb(A,B,E) & r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),D),C),F) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),k2_prelamb(A,D,E)),B),C),F) ) ) ) ) ) ) ) )).
fof(l32_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)))) => k1_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),B,k1_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),C,D)) = k1_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),k1_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),B,C),D) ) ) ) ) )).
fof(l32_realset2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c10__realset2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c10__realset2)) => ! [C] : ( m1_subset_1(C,u1_struct_0(c10__realset2)) => k1_algstr_0(c10__realset2,k1_algstr_0(c10__realset2,A,B),C) = k1_algstr_0(c10__realset2,A,k1_algstr_0(c10__realset2,B,C)) ) ) ) )).
fof(l32_rfinseq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ! [C] : ( ( v8_valued_0(C) & m2_finseq_1(C,k1_numbers) ) => ( ( A = k3_finseq_1(B) & r2_classes1(B,C) ) => B = C ) ) ) ) )).
fof(l32_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_pre_topc(B) & v6_rltopsp1(B) & v7_rltopsp1(B) & l1_rltopsp1(B) ) => ! [C] : ( ( v1_finset_1(C) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m2_rlaffin3(D,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m2_rlaffin3(F,B,k5_rusub_4(B,C,E)) => ( F = k3_fvsum_1(B,D,k5_finseq_2(u1_struct_0(B),k4_card_1(C),E)) => ! [G] : k7_relset_1(u1_struct_0(B),u1_struct_0(B),k3_rltopsp1(B,E),a_5_3_rlaffin3(A,B,C,D,G)) = a_6_0_rlaffin3(A,B,C,E,F,G) ) ) ) ) ) ) ) )).
fof(l32_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => u1_struct_0(k2_rlsub_2(A,B,k1_rlsub_2(A,B,C))) = u1_struct_0(B) ) ) ) )).
fof(l32_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => r1_tarski(u1_struct_0(k2_rmod_3(A,B,C,D)),u1_struct_0(k1_rmod_3(A,B,C,D))) ) ) ) ) )).
fof(l32_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => u1_struct_0(k2_rusub_2(A,B,k1_rusub_2(A,B,C))) = u1_struct_0(B) ) ) ) )).
fof(l32_scm_comp,axiom,( k7_dtconstr(k1_scm_comp) = k2_zfmisc_1(1,5) )).
fof(l32_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k6_sf_mastr(k2_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers)))) = k6_sf_mastr(k1_funct_7(k2_scmfsa_x(A,k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers))),k1_nat_1(k4_card_1(B),2),k11_scmfsa_2(k5_numbers))) ) ) )).
fof(l32_scmpds_4,axiom,( v3_scmpds_4(k9_compos_1(k1_scmpds_2,k2_compos_1(k1_scmpds_2))) )).
fof(l32_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k4_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(l32_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => k1_amistd_1(k5_card_1(2),k1_scmring2(A),C,B) = k1_tarski(k1_nat_1(C,1)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(2),k1_scmring2(A),B)) ) ) ) )).
fof(l32_scpinvar,axiom,( k4_card_1(k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)))) = 9 )).
fof(l32_scpqsort,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,k5_numbers) & D = k2_xcmplx_0(B,1) & B = k2_xcmplx_0(C,A) ) => ( r1_xxreal_0(D,E) | r1_xxreal_0(E,C) ) ) ) ) ) ) ) )).
fof(l32_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k3_sin_cos2,k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) ) ) )).
fof(l32_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(k2_xcmplx_0(k4_sin_cos2(A),1),k5_numbers) & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k4_sin_cos2(A),1)) & k2_xcmplx_0(k2_xcmplx_0(k4_sin_cos2(A),2),k4_sin_cos2(A)) != k5_numbers ) ) )).
fof(l32_sincos10,axiom,( r1_tarski(k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)),k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l32_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( v2_topreal1(A) => v2_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)) ) ) ) )).
fof(l32_srings_2,axiom,( k3_xboole_0(k2_enumset1(1,2,3,4),k1_tarski(3)) = k1_tarski(3) )).
fof(l32_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k4_polynom1(A,C,k5_termord(A,B,C,D),k3_termord(A,B,C,D)) = k4_polynom1(A,C,D,k3_termord(A,B,C,D)) ) ) ) ) )).
fof(l32_topreal2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( A != B & r2_tarski(B,k1_topreal1) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers))) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),A,B,C) & r1_topreal1(k15_euclid(2),A,B,D) & k1_topreal1 = k4_subset_1(u1_struct_0(k15_euclid(2)),C,D) & k9_subset_1(u1_struct_0(k15_euclid(2)),C,D) = k2_tarski(A,B) ) ) ) ) ) ) )).
fof(l32_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => B = a_2_3_waybel24(A,B) ) ) )).
fof(l32_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v3_pre_topc(k5_waybel26(D),k2_borsuk_1(B,A)) & m1_subset_1(k5_waybel26(D),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) ) ) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k1_yellow_1(u1_pre_topc(A))) ) => ( v3_pre_topc(a_1_0_waybel29(A),k2_borsuk_1(B,A)) & m1_subset_1(a_1_0_waybel29(A),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) ) ) ) )).
fof(l32_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => ( ! [E] : ( m1_subset_1(E,B) => v1_waybel_0(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),k7_funcop_1(B,C),k6_waybel_5(B,C,u1_struct_0(A),D),E)),A) ) => k5_yellow_2(A,k4_waybel_5(A,k6_waybel_5(B,C,u1_struct_0(A),D))) = k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),k7_funcop_1(B,C),k6_waybel_5(B,C,u1_struct_0(A),D)))) ) ) ) ) => v3_waybel_3(A) ) ) )).
fof(l32_waybel_9,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_tarski(k5_numbers)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)))) => ( ( A = k2_tarski(k1_xboole_0,k1_tarski(k5_numbers)) & B = k1_tarski(k4_tarski(k5_numbers,k5_numbers)) ) => ( v3_orders_2(g1_waybel_9(k1_tarski(k5_numbers),B,A)) & v1_tdlat_3(g1_waybel_9(k1_tarski(k5_numbers),B,A)) & v8_struct_0(g1_waybel_9(k1_tarski(k5_numbers),B,A)) & v13_struct_0(g1_waybel_9(k1_tarski(k5_numbers),B,A),1) ) ) ) ) )).
fof(l32_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(A,k3_finseq_1(B)) => k2_finseq_3(A,k7_finseq_1(B,C)) = k7_finseq_1(k2_finseq_3(A,B),C) ) & ( r1_xxreal_0(1,A) => k2_finseq_3(k2_xcmplx_0(k3_finseq_1(B),A),k7_finseq_1(B,C)) = k7_finseq_1(B,k2_finseq_3(A,C)) ) ) ) ) ) )).
fof(l32_xboole_1,axiom,( ! [A] : ! [B] : ( k4_xboole_0(A,B) = k1_xboole_0 <=> r1_tarski(A,B) ) )).
fof(l32_zmodul06,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ~ ( r1_int_2(A,B) & ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k2_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,D)) != 1 ) ) ) ) ) )).
fof(l33_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_altcat_1(k7_altcat_1(A)) & v11_altcat_1(k7_altcat_1(A)) & v12_altcat_1(k7_altcat_1(A)) ) ) )).
fof(l33_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ~ ( k1_rlvect_1(A,B,D) = C & D != k5_numbers & ~ v9_struct_0(B,A) & v9_struct_0(C,A) ) ) ) ) ) )).
fof(l33_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => k8_arytm_2(A,k1_arytm_1(B,C)) = k1_arytm_1(k8_arytm_2(A,B),k8_arytm_2(A,C)) ) ) ) )).
fof(l33_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => k4_arytm_2(k3_arytm_2(A)) = A ) )).
fof(l33_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( k5_int_1(B,k5_series_1(2,A)) = k5_int_1(C,k5_series_1(2,A)) => k5_int_1(k2_xcmplx_0(k5_series_1(2,k1_binari_4(A,k1_int_2(B))),B),k5_series_1(2,A)) = k5_int_1(k2_xcmplx_0(k5_series_1(2,k1_binari_4(A,k1_int_2(C))),C),k5_series_1(2,A)) ) ) ) ) )).
fof(l33_binop_2,axiom,( r3_binop_1(k4_ordinal1,k5_numbers,k23_binop_2) )).
fof(l33_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m2_connsp_2(C,A,B) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & r1_tarski(B,D) & r1_tarski(D,C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,k10_borsuk_1(A)) => ( r1_xboole_0(E,D) | r1_tarski(E,D) ) ) ) ) ) ) ) )).
fof(l33_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = k2_borsuk_5(B,C) => ( r1_xxreal_0(C,B) | ( r2_hidden(B,k2_pre_topc(k3_topmetr,A)) & r2_hidden(C,k2_pre_topc(k3_topmetr,A)) ) ) ) ) ) ) )).
fof(l33_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k5_algstr_0(k5_c0sp2(A),B,C) = k5_algstr_0(k11_c0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l33_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k4_struct_0(k5_cc0sp2(A)) = k4_struct_0(k7_cc0sp1(u1_struct_0(A))) ) )).
fof(l33_complex1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => k5_arytm_0(A,B) = k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1)) ) ) )).
fof(l33_csspace,axiom,( k1_funct_1(c2__csspace,k1_domain_1(u1_struct_0(o_0_5_csspace),u1_struct_0(o_0_5_csspace),k4_struct_0(o_0_5_csspace),k4_struct_0(o_0_5_csspace))) = k5_complex1 )).
fof(l33_descip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k5_card_1(64),k2_finseq_1(64)) & v1_descip_1(A,64) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(64),k2_finseq_1(64)))) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,B) => ! [I] : ( m1_subset_1(I,B) => ! [J] : ( m1_subset_1(J,B) => ! [K] : ( m1_subset_1(K,B) => ! [L] : ( m1_subset_1(L,B) => ! [M] : ( m1_subset_1(M,B) => ! [N] : ( m1_subset_1(N,B) => ! [O] : ( m1_subset_1(O,B) => ! [P] : ( m1_subset_1(P,B) => ! [Q] : ( m1_subset_1(Q,B) => ! [R] : ( m1_subset_1(R,B) => ! [S] : ( m1_subset_1(S,B) => ! [T] : ( m1_subset_1(T,B) => ! [U] : ( m1_subset_1(U,B) => ! [V] : ( m1_subset_1(V,B) => ! [W] : ( m1_subset_1(W,B) => ! [X] : ( m1_subset_1(X,B) => ! [Y] : ( m1_subset_1(Y,B) => ! [Z] : ( m1_subset_1(Z,B) => ! [A1] : ( m1_subset_1(A1,B) => ! [B1] : ( m1_subset_1(B1,B) => ! [C1] : ( m1_subset_1(C1,B) => ! [D1] : ( m1_subset_1(D1,B) => ! [E1] : ( m1_subset_1(E1,B) => ! [F1] : ( m1_subset_1(F1,B) => ! [G1] : ( m1_subset_1(G1,B) => ! [H1] : ( m1_subset_1(H1,B) => ! [I1] : ( m1_subset_1(I1,B) => ! [J1] : ( m1_subset_1(J1,B) => ! [K1] : ( m1_subset_1(K1,B) => ! [L1] : ( m1_subset_1(L1,B) => ! [M1] : ( m1_subset_1(M1,B) => ! [N1] : ( m1_subset_1(N1,B) => ! [O1] : ( m1_subset_1(O1,B) => ! [P1] : ( m1_subset_1(P1,B) => ! [Q1] : ( m1_subset_1(Q1,B) => ! [R1] : ( m1_subset_1(R1,B) => ! [S1] : ( m1_subset_1(S1,B) => ! [T1] : ( m1_subset_1(T1,B) => ! [U1] : ( m1_subset_1(U1,B) => ! [V1] : ( m1_subset_1(V1,B) => ! [W1] : ( m1_subset_1(W1,B) => ! [X1] : ( m1_subset_1(X1,B) => ! [Y1] : ( m1_subset_1(Y1,B) => ! [Z1] : ( m1_subset_1(Z1,B) => ! [A2] : ( m1_subset_1(A2,B) => ! [B2] : ( m1_subset_1(B2,B) => ! [C2] : ( m1_subset_1(C2,B) => ! [D2] : ( m1_subset_1(D2,B) => ! [E2] : ( m1_subset_1(E2,B) => ! [F2] : ( m1_subset_1(F2,B) => ! [G2] : ( m1_subset_1(G2,B) => ! [H2] : ( m1_subset_1(H2,B) => ! [I2] : ( m1_subset_1(I2,B) => ! [J2] : ( m1_subset_1(J2,B) => ! [K2] : ( m1_subset_1(K2,B) => ! [L2] : ( m1_subset_1(L2,B) => ! [M2] : ( m1_subset_1(M2,B) => ! [N2] : ( m1_subset_1(N2,B) => ! [O2] : ( m2_finseq_2(O2,B,k4_finseq_2(64,B)) => ( ( k1_funct_1(O2,1) = C & k1_funct_1(O2,2) = D & k1_funct_1(O2,3) = E & k1_funct_1(O2,4) = F & k1_funct_1(O2,5) = G & k1_funct_1(O2,6) = H & k1_funct_1(O2,7) = I & k1_funct_1(O2,8) = J & k1_funct_1(O2,9) = K & k1_funct_1(O2,10) = L & k1_funct_1(O2,11) = M & k1_funct_1(O2,12) = N & k1_funct_1(O2,13) = O & k1_funct_1(O2,14) = P & k1_funct_1(O2,15) = Q & k1_funct_1(O2,16) = R & k1_funct_1(O2,17) = S & k1_funct_1(O2,18) = T & k1_funct_1(O2,19) = U & k1_funct_1(O2,20) = V & k1_funct_1(O2,21) = W & k1_funct_1(O2,22) = X & k1_funct_1(O2,23) = Y & k1_funct_1(O2,24) = Z & k1_funct_1(O2,25) = A1 & k1_funct_1(O2,26) = B1 & k1_funct_1(O2,27) = C1 & k1_funct_1(O2,28) = D1 & k1_funct_1(O2,29) = E1 & k1_funct_1(O2,30) = F1 & k1_funct_1(O2,31) = G1 & k1_funct_1(O2,32) = H1 & k1_funct_1(O2,33) = I1 & k1_funct_1(O2,34) = J1 & k1_funct_1(O2,35) = K1 & k1_funct_1(O2,36) = L1 & k1_funct_1(O2,37) = M1 & k1_funct_1(O2,38) = N1 & k1_funct_1(O2,39) = O1 & k1_funct_1(O2,40) = P1 & k1_funct_1(O2,41) = Q1 & k1_funct_1(O2,42) = R1 & k1_funct_1(O2,43) = S1 & k1_funct_1(O2,44) = T1 & k1_funct_1(O2,45) = U1 & k1_funct_1(O2,46) = V1 & k1_funct_1(O2,47) = W1 & k1_funct_1(O2,48) = X1 & k1_funct_1(O2,49) = Y1 & k1_funct_1(O2,50) = Z1 & k1_funct_1(O2,51) = A2 & k1_funct_1(O2,52) = B2 & k1_funct_1(O2,53) = C2 & k1_funct_1(O2,54) = D2 & k1_funct_1(O2,55) = E2 & k1_funct_1(O2,56) = F2 & k1_funct_1(O2,57) = G2 & k1_funct_1(O2,58) = H2 & k1_funct_1(O2,59) = I2 & k1_funct_1(O2,60) = J2 & k1_funct_1(O2,61) = K2 & k1_funct_1(O2,62) = L2 & k1_funct_1(O2,63) = M2 & k1_funct_1(O2,64) = N2 ) => ( k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),k5_numbers) = C & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),1) = D & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),2) = E & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),3) = F & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),4) = G & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),5) = H & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),6) = I & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),7) = J & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),8) = K & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),9) = L & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),10) = M & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),11) = N & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),12) = O & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),13) = P & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),14) = Q & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),15) = R & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),16) = S & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),17) = T & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),18) = U & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),19) = V & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),20) = W & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),21) = X & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),22) = Y & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),23) = Z & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),24) = A1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),25) = B1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),26) = C1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),27) = D1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),28) = E1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),29) = F1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),30) = G1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),31) = H1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),32) = I1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),33) = J1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),34) = K1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),35) = L1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),36) = M1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),37) = N1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),38) = O1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),39) = P1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),40) = Q1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),41) = R1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),42) = S1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),43) = T1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),44) = U1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),45) = V1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),46) = W1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),47) = X1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),48) = Y1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),49) = Z1 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),50) = A2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),51) = B2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),52) = C2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),53) = D2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),54) = E2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),55) = F2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),56) = G2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),57) = H2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),58) = I2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),59) = J2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),60) = K2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),61) = L2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),62) = M2 & k1_funct_1(k1_partfun1(k5_card_1(64),k2_finseq_1(64),k4_ordinal1,B,A,O2),63) = N2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l33_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,F)) = k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,G)) => ( D = E & F = G ) ) ) ) ) ) ) ) ) ) )).
fof(l33_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( v7_ordinal1(D) => ( ( v2_binop_1(C,A) & v2_fomodel0(B,A,C) ) => v2_fomodel0(k7_relset_1(k6_subset_1(k3_finseq_2(A),k1_tarski(k1_xboole_0)),A,k6_fomodel0(A,C),k4_finseq_2(k2_xcmplx_0(D,1),B)),A,C) ) ) ) ) ) )).
fof(l33_fomodel2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ( v1_funct_1(k1_funct_5(k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k5_margrel1),k21_fomodel2(B,C),A))) & v1_funct_2(k1_funct_5(k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k5_margrel1),k21_fomodel2(B,C),A)),k15_fomodel2(B,C),k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k5_margrel1)) & m1_subset_1(k1_funct_5(k8_nat_1(k3_rfunct_3(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k5_margrel1),k21_fomodel2(B,C),A)),k1_zfmisc_1(k2_zfmisc_1(k15_fomodel2(B,C),k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k5_margrel1)))) ) ) ) ) )).
fof(l33_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,E))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) => r1_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,C),k4_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,E),k4_finseq_2(D,B),k4_finseq_2(D,C),k8_fomodel3(A,E,F,D),k8_fomodel3(B,C,G,D)),k8_fomodel3(A,C,k4_relset_1(A,E,B,C,F,G),D)) ) ) ) ) ) ) ) )).
fof(l33_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_fomodel4(B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_fomodel4(B))) => ( ( r1_tarski(E,F) & r1_tarski(C,D) ) => ( ( ~ v7_fomodel4(D,B) & ~ v7_fomodel4(C,B) ) | r1_tarski(k3_funct_2(k1_zfmisc_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k5_fomodel4(B,C,A),E),k3_funct_2(k1_zfmisc_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k5_fomodel4(B,D,A),F)) ) ) ) ) ) ) ) ) )).
fof(l33_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [E] : ! [F] : ( ( r2_tarski(E,A) & r2_tarski(F,C) ) => k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,k4_fuzzy_2(A,B),D,E,F))) = k1_funct_1(k4_fuzzy_2(A,C),k4_tarski(E,F)) ) ) ) ) ) )).
fof(l33_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_002(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( r2_tarski(C,k28_glib_000(A,k4_glib_001(A,B))) => ( r2_tarski(C,k14_glib_001(A,B)) | v5_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(l33_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => ( k3_xcmplx_0(k1_newton(E,A),B) = k3_xcmplx_0(C,D) => ( r1_nat_d(E,B) | r1_nat_d(E,D) | r1_nat_d(k1_newton(E,A),C) ) ) ) ) ) ) ) )).
fof(l33_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v7_group_9(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,k2_group_1(B,D)) = k2_group_1(C,k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,D)) ) ) ) ) )).
fof(l33_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( B = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v2_hahnban(C,A) & v3_hahnban(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v2_hahnban(C,B) & v3_hahnban(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) ) ) ) ) )).
fof(l33_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ! [D] : ( m2_subset_1(D,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ~ ( r2_tarski(B,k10_normform(A,D,k7_heyting1(A,D,k3_heyting1(A,C)))) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(E,C) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),E,B) ) ) ) ) ) ) )).
fof(l33_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r2_aff_1(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = G <=> ( ( r2_tarski(F,D) & F = G ) | ( ~ r2_tarski(F,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(H,D) & r2_tarski(I,D) & r2_analoaf(A,H,B,I,F) & r2_analoaf(A,H,C,I,G) & r2_aff_1(A,F,G,D) ) ) ) ) ) ) ) ) => ( r2_tarski(B,D) | k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,B) = C ) ) ) ) ) ) ) )).
fof(l33_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => m2_cat_1(k1_funct_1(k2_xfamily(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B)))),C),k2_index_1(u4_struct_0(A),k3_relat_1(u2_graph_1(A),k1_xfamily(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B))))),C),k2_index_1(u4_struct_0(A),k3_relat_1(u1_graph_1(A),k1_xfamily(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B))))),C)) ) ) ) )).
fof(l33_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( k3_int_2(A,B) = 1 & r1_int_1(B,A) ) ) ) )).
fof(l33_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(g3_algstr_0(k1_int_7(A),k2_int_7(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g3_algstr_0(k1_int_7(A),k2_int_7(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(A))) => ( ( B = D & E = C ) => k8_group_1(k9_int_3(A),D,E) = k6_algstr_0(g3_algstr_0(k1_int_7(A),k2_int_7(A)),B,C) ) ) ) ) ) ) )).
fof(l33_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integr15(E,k3_integra5(A,B),F) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(E,k1_numbers,F)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(E),F,k3_integra5(A,B)),E) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_integra5(k3_integra5(C,D),k1_nfcont_4(E,k1_numbers,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k1_nfcont_4(E,k1_numbers,F),k3_integra5(C,D))) & r1_xxreal_0(k12_euclid(k12_integr15(C,D,E,F)),k4_integra5(C,D,k1_nfcont_4(E,k1_numbers,F))) ) ) ) ) ) ) ) ) )).
fof(l33_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => r1_tarski(k7_intpro_1(k7_intpro_1(A)),k7_intpro_1(A)) ) )).
fof(l33_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) ) => k1_sppol_2(A,B,C,D) = a_4_4_jgraph_6(A,B,C,D) ) ) ) ) ) )).
fof(l33_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k4_lattices(A,B,C) = k12_lattice3(k3_lattice3(A),k4_lattice3(A,B),k4_lattice3(A,C)) & k3_lattices(A,B,C) = k13_lattice3(k3_lattice3(A),k4_lattice3(A,B),k4_lattice3(A,C)) ) ) ) ) )).
fof(l33_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,C) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(A,C,k3_fuzzy_4(A,B,C,D,E),F,G),H) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_8_0_lfuzzy_0(A,B,C,D,E,F,G,H)) ) ) ) ) ) ) ) ) )).
fof(l33_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_ideal_1(k13_lpspacc1(A,B,C),k12_lpspacc1(A)) & v1_lpspacc1(k13_lpspacc1(A,B,C),k12_lpspacc1(A)) ) ) ) ) )).
fof(l33_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_ideal_1(k1_lpspace2(A,B,C,D),k7_lpspace1(A)) & v1_lpspace1(k1_lpspace2(A,B,C,D),k7_lpspace1(A)) ) ) ) ) ) )).
fof(l33_matrix_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ( ( v6_matrix_1(B,k8_matrix_1(k9_matrix_1(A))) & r1_xxreal_0(1,A) ) => v6_matrix_1(k3_matrix_7(A,B),k8_matrix_1(k9_matrix_1(A))) ) ) ) )).
fof(l33_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,1,2,3) != k3_finseq_4(k4_ordinal1,1,3,2) )).
fof(l33_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,B) & l1_vectsp_1(D,B) ) => ! [E] : ( m1_matrlin(E,B,D) => ! [F] : ( m1_matrixj2(F,B,C) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),k3_finseq_1(E),k3_finseq_1(E)) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ( G = k20_matrixj1(u1_struct_0(B),k4_struct_0(B),F) => ( k3_finseq_1(E) = k5_numbers | ( k3_funct_2(u1_struct_0(D),u1_struct_0(D),k1_vectsp11(D,k4_matrlin2(B,D,D,E,E,G),A),k7_partfun1(u1_struct_0(D),E,k1_wsierp_1(k10_matrixj1(u1_struct_0(B),k7_matrixj2(B,C,k1_matrixj1(k10_matrixj1(u1_struct_0(B),F),k3_finseq_1(E)),F))))) = k3_vectsp_1(B,D,k1_laplace(B,k4_group_1(B),C,A),k7_partfun1(u1_struct_0(D),E,k1_wsierp_1(k10_matrixj1(u1_struct_0(B),k7_matrixj2(B,C,k1_matrixj1(k10_matrixj1(u1_struct_0(B),F),k3_finseq_1(E)),F))))) & r2_tarski(k1_wsierp_1(k10_matrixj1(u1_struct_0(B),k7_matrixj2(B,C,k1_matrixj1(k10_matrixj1(u1_struct_0(B),F),k3_finseq_1(E)),F))),k4_finseq_1(E)) ) ) ) ) ) ) ) ) ) ) )).
fof(l33_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(D))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,A,B,C)),E),B),k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,A,B,C)),E),B)),k3_xcmplx_0(k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,A,B,C)),E),C),k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,A,B,C)),E),C))) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E,B),k1_funct_1(E,B)),k3_xcmplx_0(k1_funct_1(E,C),k1_funct_1(E,C))) ) ) ) ) ) ) ) )).
fof(l33_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_tarski(D,a_3_1_mazurulm(A,B,C)) => r2_tarski(k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,k1_rlvect_1(A,k3_rlvect_1(A,B,C),k6_xxreal_3(1,2))),k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k2_tops_2(u1_struct_0(A),u1_struct_0(A),D),k1_mazurulm(A,k1_rlvect_1(A,k3_rlvect_1(A,B,C),k6_xxreal_3(1,2)))))),a_3_1_mazurulm(A,B,C)) ) ) ) ) ) )).
fof(l33_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_metrizts(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_tops_2(B,A) & m1_setfam_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(C,B) & m1_setfam_1(C,u1_struct_0(A)) & r1_ordinal1(k1_card_1(C),k4_ordinal1) ) ) ) ) ) ) )).
fof(l33_modcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(k11_modcat_1(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(k11_modcat_1(A,B))) => ! [E] : ( m1_subset_1(E,u4_struct_0(k11_modcat_1(A,B))) => ( ( k3_graph_1(k11_modcat_1(A,B),E) = k4_graph_1(k11_modcat_1(A,B),D) & k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) ) => k1_cat_1(k11_modcat_1(A,B),k1_cat_1(k11_modcat_1(A,B),C,D),E) = k1_cat_1(k11_modcat_1(A,B),C,k1_cat_1(k11_modcat_1(A,B),D,E)) ) ) ) ) ) ) )).
fof(l33_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( B = k7_finseq_1(A,C) => B = A ) ) ) ) )).
fof(l33_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ( k5_modelc_2(C,A) = k5_modelc_2(D,B) => ( C = D & A = B ) ) ) ) ) ) )).
fof(l33_nagata_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_metric_1)) => ( ~ r1_xxreal_0(A,k5_numbers) => r2_tarski(B,k8_metric_1(k7_metric_1,B,A)) ) ) ) )).
fof(l33_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => ( ( k5_int_1(A,C) = k5_int_1(B,C) & k5_int_1(A,D) = k5_int_1(B,D) & r1_int_2(C,D) ) => k5_int_1(A,k3_xcmplx_0(C,D)) = k5_int_1(B,k3_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(l33_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v11_o_ring_1(B,A) ) ) ) )).
fof(l33_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => k1_square_1(k1_newton(2,k1_newton(2,A))) = k11_newton(2,k11_newton(2,k1_nat_1(A,1))) ) )).
fof(l33_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) & k3_polynom1(k15_pre_poly(A),B,C) = k1_tarski(D) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k6_polynom1(A,B,C,D),E) = k3_rlvect_1(B,k2_polynom2(A,B,C,E),k2_polynom2(A,B,D,E)) ) ) ) ) ) ) )).
fof(l33_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => r4_relat_2(k5_poset_1(A,B),k4_poset_1(A,B)) ) ) )).
fof(l33_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_prelamb(A,B,D) & r2_prelamb(A,k12_finseq_1(u1_struct_0(A),C),E) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),k2_prelamb(A,C,D)),B),E) ) ) ) ) ) ) )).
fof(l33_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r2_hidden(B,k4_cqc_the1(A)) & r2_hidden(C,k4_cqc_the1(A)) ) => r2_hidden(k7_cqc_lang(A,B,C),k4_cqc_the1(A)) ) ) ) ) )).
fof(l33_rat_1,axiom,( k5_xcmplx_0(1) = 1 )).
fof(l33_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)))) => k2_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),B,k2_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),C,D)) = k2_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),k2_lattices(g3_lattices(k9_funct_2(A,k1_numbers),k4_real_lat(A),k5_real_lat(A)),B,C),D) ) ) ) ) )).
fof(l33_realset2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c10__realset2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c10__realset2)) => k1_algstr_0(c10__realset2,A,B) = k1_algstr_0(c10__realset2,B,A) ) ) )).
fof(l33_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r2_rewrite1(A,B,C) => r2_rewrite1(A,C,B) ) ) )).
fof(l33_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & v1_rlaffin1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k4_card_1(C) = k2_xcmplx_0(A,1) => ! [D] : ( m2_rlaffin3(D,k15_euclid(A),C) => ( k1_funct_1(D,k3_finseq_1(D)) = k5_euclid(A) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( F = a_5_4_rlaffin3(A,B,C,D,E) => ( v3_pre_topc(E,k15_euclid(B)) <=> v3_pre_topc(F,k15_euclid(A)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l33_rlvect_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_orders_1(B,A,k6_partfun1(A)) => ( ~ r2_tarski(k1_xboole_0,A) => k9_xtuple_0(B) = A ) ) ) )).
fof(l33_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ( ! [B] : ( v7_ordinal1(B) => k1_amistd_1(k5_card_1(3),k1_scmfsa_2,B,A) = k1_tarski(k1_nat_1(B,1)) ) => v1_xboole_0(k2_amistd_1(k5_card_1(3),k1_scmfsa_2,A)) ) ) )).
fof(l33_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k5_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(l33_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(2)) = k6_xcmplx_0(F,1) & k1_funct_1(B,k1_scmp_gcd(3)) = k1_nat_1(E,1) & k1_funct_1(B,k1_scmp_gcd(1)) = k5_numbers & r1_xxreal_0(6,E) & r1_scpisort(C,B,E) & r1_scpisort(D,k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),B,A),E) & k3_finseq_1(C) = F & k3_finseq_1(D) = F ) => ( r2_classes1(C,D) & r3_graph_2(D,1,F) ) ) ) ) ) ) ) ) )).
fof(l33_scpqsort,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & D = k2_xcmplx_0(B,1) & B = k2_xcmplx_0(C,A) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(l33_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_xcmplx_0(k3_xcmplx_0(k1_newton(A,2),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(A,2)),k3_xcmplx_0(2,A)),1)),k2_nat_1(k11_newton(k1_nat_1(A,1),3),12)) = k3_xcmplx_0(k11_newton(k1_nat_1(A,2),2),k6_xcmplx_0(k1_nat_1(k2_nat_1(2,k11_newton(k1_nat_1(A,1),2)),k2_nat_1(2,k1_nat_1(A,1))),1)) ) )).
fof(l33_sincos10,axiom,( k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)) = k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(l33_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( v7_ordinal1(C) => ( B = k3_tarski(a_2_0_sppol_1(A,C)) => v4_pre_topc(B,k15_euclid(2)) ) ) ) ) )).
fof(l33_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,B) => v1_setfam_1(k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B)))) ) ) )).
fof(l33_srings_2,axiom,( k3_xboole_0(k2_enumset1(1,2,3,4),k1_tarski(4)) = k1_tarski(4) )).
fof(l33_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_termord(A,B,C,D) != k4_struct_0(C) => r2_tarski(k3_termord(A,B,C,D),k3_polynom1(k15_pre_poly(A),C,k5_termord(A,B,C,D))) ) ) ) ) ) )).
fof(l33_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( C = a_2_3_tex_1(A,B) & A = k6_domain_1(A,B) ) => C = k1_xboole_0 ) ) ) )).
fof(l33_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v5_waybel23(k1_pre_topc(A,B)) & r1_xxreal_0(k4_topdim_1(k1_pre_topc(A,B)),k5_numbers) ) => ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(B,k4_subset_1(u1_struct_0(A),C,D)) & ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ! [F] : ( ( v3_pre_topc(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(E,C) & r1_tarski(F,D) & r1_xboole_0(E,F) & r1_tarski(B,k4_subset_1(u1_struct_0(A),E,F)) ) ) ) ) ) ) ) ) ) )).
fof(l33_topreal2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( A != B & r2_tarski(B,k1_topreal1) & r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),A,B,C) & r1_topreal1(k15_euclid(2),A,B,D) & k1_topreal1 = k4_subset_1(u1_struct_0(k15_euclid(2)),C,D) & k9_subset_1(u1_struct_0(k15_euclid(2)),C,D) = k2_tarski(A,B) ) ) ) ) ) ) )).
fof(l33_toprealb,axiom,( u1_struct_0(k8_toprealb(2)) = k3_topreal9(2,k19_euclid(k5_numbers,k5_numbers),1) )).
fof(l33_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( D = E => k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_pre_topc(B,k6_domain_1(u1_struct_0(B),E))) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),D)) ) ) ) ) ) ) ) )).
fof(l33_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(k13_twoscomp,k11_finseq_1(A,B,C)) = k1_binarith(k1_binarith(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C)) ) ) ) )).
fof(l33_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => r1_tarski(u1_struct_0(k2_vectsp_5(A,B,C,D)),u1_struct_0(k1_vectsp_5(A,B,C,D))) ) ) ) ) )).
fof(l33_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => B = k4_waybel_0(A,k12_waybel_0(A,B)) ) ) )).
fof(l33_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ( v1_waybel_5(A) => ( v3_lattice3(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(C,k1_waybel15(A)) & B = k1_yellow_0(A,C) ) ) ) ) ) )).
fof(l33_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => r3_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_waybel11(A,D)),k1_waybel11(B,k6_waybel_9(A,B,C,D))) ) ) ) ) )).
fof(l33_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( v1_funct_1(k3_funct_2(u1_struct_0(C),u1_struct_0(k3_waybel24(A,k1_waybel25(B))),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),D)) & v1_funct_2(k3_funct_2(u1_struct_0(C),u1_struct_0(k3_waybel24(A,k1_waybel25(B))),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),D),u1_struct_0(A),u1_struct_0(k1_waybel25(B))) & m1_subset_1(k3_funct_2(u1_struct_0(C),u1_struct_0(k3_waybel24(A,k1_waybel25(B))),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_waybel25(B))))) & v1_funct_1(k3_funct_2(u1_struct_0(C),u1_struct_0(k3_waybel24(A,k1_waybel25(B))),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),D)) & v1_funct_2(k3_funct_2(u1_struct_0(C),u1_struct_0(k3_waybel24(A,k1_waybel25(B))),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),D),u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(k3_funct_2(u1_struct_0(C),u1_struct_0(k3_waybel24(A,k1_waybel25(B))),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) )).
fof(l33_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k1_yellow_1(u1_pre_topc(A))) ) => ( v3_pre_topc(a_1_0_waybel29(A),k2_borsuk_1(B,A)) & m1_subset_1(a_1_0_waybel29(A),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k1_yellow_1(u1_pre_topc(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_pre_topc(D,A) & m1_connsp_2(D,A,C) ) => ? [E] : ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(D,E) & m1_connsp_2(k1_setfam_1(E),A,C) ) ) ) ) ) ) )).
fof(l33_wsierp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( k2_finseq_3(1,k7_finseq_1(k9_finseq_1(B),A)) = A & k2_finseq_3(k1_nat_1(k3_finseq_1(A),1),k7_finseq_1(A,k9_finseq_1(B))) = A ) ) )).
fof(l34_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(E,A) & r2_tarski(B,E) & r2_tarski(C,E) & B != C & ~ r2_tarski(D,E) & r1_aff_1(A,B,C,D) ) ) ) ) ) ) )).
fof(l34_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_binop_1(u1_altcat_1(A),B,D) = k1_xboole_0 => k2_zfmisc_1(k1_binop_1(u1_altcat_1(A),C,D),k1_binop_1(u1_altcat_1(A),B,C)) = k1_xboole_0 ) ) ) ) ) )).
fof(l34_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_anproj_1(A,B,C) & E = k1_rlvect_1(A,C,F) & F != k5_numbers & D = k1_rlvect_1(A,B,G) & G != k5_numbers & r1_anproj_1(A,D,E) ) ) ) ) ) ) ) ) )).
fof(l34_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,C) & k5_int_1(B,k5_series_1(2,A)) = k5_int_1(C,k5_series_1(2,A)) ) => k2_binari_4(A,B) = k2_binari_4(A,C) ) ) ) ) )).
fof(l34_binop_2,axiom,( r2_hidden(1,k4_ordinal1) )).
fof(l34_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = k3_borsuk_5(B,C) => ( r1_xxreal_0(C,B) | ( r2_hidden(B,k2_pre_topc(k3_topmetr,A)) & r2_hidden(C,k2_pre_topc(k3_topmetr,A)) ) ) ) ) ) ) )).
fof(l34_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k5_struct_0(k5_cc0sp2(A)) = k5_struct_0(k7_cc0sp1(u1_struct_0(A))) ) )).
fof(l34_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_cfuncdom(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_cfuncdom(A))) => ( C = k5_cfuncdom(A) => ( k6_algstr_0(k7_cfuncdom(A),C,B) = B & k6_algstr_0(k7_cfuncdom(A),B,C) = B ) ) ) ) ) )).
fof(l34_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v8_compl_sp(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_pcomps_1(B,A) & v1_setfam_1(B) ) => v1_finset_1(B) ) ) ) ) )).
fof(l34_csspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => ( r1_xxreal_0(k5_numbers,k3_complex1(k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),A,A)))) & k4_complex1(k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),A,A))) = k5_numbers ) ) )).
fof(l34_ec_pf_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => k8_group_1(k9_int_3(C),k2_binom(k9_int_3(C),D,A),k2_binom(k9_int_3(C),D,B)) = k2_binom(k9_int_3(C),D,k2_xcmplx_0(A,B)) ) ) ) ) )).
fof(l34_fdiff_7,axiom,( k3_limfunc1(k5_numbers) = a_0_0_fdiff_7 )).
fof(l34_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( v7_ordinal1(D) => ( ( v2_binop_1(C,B) & v2_fomodel0(A,B,C) ) => v2_fomodel0(k7_relset_1(k6_subset_1(k3_finseq_2(B),k1_tarski(k1_xboole_0)),B,k6_fomodel0(B,C),k4_finseq_2(k2_xcmplx_0(D,1),A)),B,C) ) ) ) ) )).
fof(l34_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ( v1_funct_1(k1_funct_5(k22_fomodel2(B,A,C))) & v1_funct_2(k1_funct_5(k22_fomodel2(B,A,C)),k15_fomodel2(B,C),k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k5_margrel1)) & m1_subset_1(k1_funct_5(k22_fomodel2(B,A,C)),k1_zfmisc_1(k2_zfmisc_1(k15_fomodel2(B,C),k3_rfunct_3(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k5_margrel1)))) ) ) ) ) )).
fof(l34_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,E))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) => r1_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,C),k8_fomodel3(A,C,k4_relset_1(A,E,B,C,F,G),D),k4_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,E),k4_finseq_2(D,B),k4_finseq_2(D,C),k8_fomodel3(A,E,F,D),k8_fomodel3(B,C,G,D))) ) ) ) ) ) ) ) )).
fof(l34_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [E] : ( v2_fomodel4(E,B) => ! [F] : ( v2_fomodel4(F,B) => ( ( r1_tarski(E,F) & r1_tarski(C,D) ) => ( ( ~ v7_fomodel4(D,B) & ~ v7_fomodel4(C,B) ) | r1_tarski(k1_funct_1(k5_fomodel4(B,C,A),E),k1_funct_1(k5_fomodel4(B,D,A),F)) ) ) ) ) ) ) ) ) )).
fof(l34_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_funcsdom(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_funcsdom(A))) => ( C = k9_funcsdom(A) => ( k6_algstr_0(k11_funcsdom(A),B,C) = B & k6_algstr_0(k11_funcsdom(A),C,B) = B ) ) ) ) ) )).
fof(l34_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k2_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(l34_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v2_glib_002(A) ) => ~ ( k7_glib_000(A) != k1_xboole_0 & ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ~ ( B != C & v11_glib_000(B,A) & v11_glib_000(C,A) & r2_tarski(C,k1_glib_002(A,B)) ) ) ) ) ) )).
fof(l34_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_ideal_1(D,k12_polynom1(A,C)) & v2_ideal_1(D,k12_polynom1(A,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( ( r1_tarski(E,D) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(F,D) => r1_rewrite1(k3_polyred(A,B,C,E),F,k8_polynom1(A,C)) ) ) ) => k7_ideal_1(k12_polynom1(A,C),E) = D ) ) ) ) ) ) )).
fof(l34_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_card_1(B) = k1_card_1(k5_group_2(A,C,B)) ) ) ) )).
fof(l34_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( C != k1_xboole_0 & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => r2_tarski(k6_algstr_0(B,D,E),C) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => r2_tarski(k2_group_1(B,D),C) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r2_tarski(k3_funct_2(u1_struct_0(B),u1_struct_0(B),k3_group_9(A,B,D),E),C) ) ) ) & ! [D] : ( ( v2_group_9(D,A) & m1_group_9(D,A,B) ) => u1_struct_0(D) != C ) ) ) ) )).
fof(l34_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( r2_tarski(C,k4_heyting3(A,B)) => v1_finset_1(C) ) ) ) )).
fof(l34_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r2_aff_1(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = G <=> ( ( r2_tarski(F,D) & F = G ) | ( ~ r2_tarski(F,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(H,D) & r2_tarski(I,D) & r2_analoaf(A,H,B,I,F) & r2_analoaf(A,H,C,I,G) & r2_aff_1(A,F,G,D) ) ) ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r2_aff_1(A,F,k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F),D) ) ) ) ) ) ) ) )).
fof(l34_int_4,axiom,( ! [A] : ( v1_int_1(A) => ( v1_partfun1(k1_int_4(A),k4_numbers) & v3_relat_2(k1_int_4(A)) & v8_relat_2(k1_int_4(A)) & m1_subset_1(k1_int_4(A),k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers))) ) ) )).
fof(l34_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ~ r1_xxreal_0(k19_rvsum_1(A),k5_numbers) ) )).
fof(l34_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integr15(E,k3_integra5(A,B),F) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(E,k1_numbers,F)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(E),F,k3_integra5(A,B)),E) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => r1_xxreal_0(k12_euclid(k12_integr15(D,C,E,F)),k4_integra5(C,D,k1_nfcont_4(E,k1_numbers,F))) ) ) ) ) ) ) ) )).
fof(l34_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),E) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_integra5(k3_integra5(C,D),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_integra5(C,D))) & k4_integra5(C,D,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F)) = k2_xcmplx_0(k4_integra5(C,D,E),k4_integra5(C,D,F)) & r1_integra5(k3_integra5(C,D),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_integra5(C,D))) & k4_integra5(C,D,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F)) = k6_xcmplx_0(k4_integra5(C,D,E),k4_integra5(C,D,F)) ) ) ) ) ) ) ) ) )).
fof(l34_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_18_jgraph_4(A) => v4_pre_topc(B,k15_euclid(2)) ) ) ) )).
fof(l34_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,C) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)))) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),H,k8_lfuzzy_0(A,C,k3_fuzzy_4(A,B,C,D,E),F,G)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_8_2_lfuzzy_0(A,B,C,D,E,F,G,H)) ) ) ) ) ) ) ) ) )).
fof(l34_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k8_lpspace1(A,k5_numbers)) & m1_subset_1(k8_lpspace1(A,k5_numbers),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & r2_tarski(k8_lpspace1(A,k5_numbers),k9_lpspace1(A,B,C)) ) ) ) ) )).
fof(l34_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v2_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v3_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v4_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v5_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v6_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v7_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) & v8_rlvect_1(g1_rlvect_1(k1_lpspace2(A,B,C,D),k10_subset_1(k4_struct_0(k7_lpspace1(A)),k1_lpspace2(A,B,C,D)),k1_ideal_1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)),k1_lpspace1(k7_lpspace1(A),k1_lpspace2(A,B,C,D)))) ) ) ) ) ) )).
fof(l34_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,C,A,B) & m2_finseq_1(E,k3_finseq_2(C)) ) => ! [F] : ( m2_finseq_1(F,C) => ( k2_matrix_0(E) = k2_matrix_0(k3_matrix11(D,A,B,C,E,F)) & k3_finseq_1(E) = k3_finseq_1(k3_matrix11(D,A,B,C,E,F)) & k1_matrix_0(E) = k1_matrix_0(k3_matrix11(D,A,B,C,E,F)) ) ) ) ) ) ) ) )).
fof(l34_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,1,2,3) != k3_finseq_4(k4_ordinal1,2,1,3) )).
fof(l34_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v4_xxreal_2(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( D = a_3_0_mazurulm(A,B,C) => m1_xxreal_2(k1_xxreal_2(D),k23_member_1(D,2)) ) ) ) ) ) )).
fof(l34_mesfun6c,axiom,( v1_xreal_0(1) )).
fof(l34_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(k2_xcmplx_0(A,1)))) => ( B = k6_euclid_7(k2_xcmplx_0(A,1),k2_xcmplx_0(A,1)) => r1_mfold_2(k15_euclid(A),k3_mfold_2(k2_xcmplx_0(A,1),B,k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))))) ) ) ) )).
fof(l34_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => v1_midsp_2(k5_midsp_2(A),A,k15_midsp_1(A)) ) )).
fof(l34_mod_2,axiom,( ? [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) & A = k5_numbers ) )).
fof(l34_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_1(D) & m2_finseq_1(D,k4_ordinal1) ) => ( k8_modelc_1(C,A) = k8_modelc_1(D,B) => ( C = D & A = B ) ) ) ) ) ) )).
fof(l34_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ( k7_modelc_2(C,A) = k7_modelc_2(D,B) => ( C = D & A = B ) ) ) ) ) ) )).
fof(l34_modelc_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ~ ( r5_modelc_3(C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(B)) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( r5_modelc_3(C,E) & B = k7_finseq_1(D,E) & k1_funct_1(E,1) = k1_funct_1(B,A) & r1_xxreal_0(1,k3_finseq_1(E)) & k3_finseq_1(E) = k6_xcmplx_0(k3_finseq_1(B),k6_xcmplx_0(A,1)) & k1_funct_1(E,k3_finseq_1(E)) = k1_funct_1(B,k3_finseq_1(B)) ) ) ) ) ) ) ) )).
fof(l34_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,B,k2_msaterm(A,B,C)) => ( k3_finseq_1(D) = k3_finseq_1(k1_msualg_1(A,C)) & k4_finseq_1(D) = k4_finseq_1(k1_msualg_1(A,C)) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( F = k1_funct_1(D,E) & F = k7_partfun1(k1_msaterm(A,B),D,E) & k7_msaterm(A,B,F) = k1_funct_1(k1_msualg_1(A,C),E) & k7_msaterm(A,B,F) = k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),E) ) ) ) ) ) ) ) ) ) )).
fof(l34_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D))) ) ) ) ) ) )).
fof(l34_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v2_o_ring_1(B,A) => v10_o_ring_1(B,A) ) ) ) )).
fof(l34_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k5_ordeq_01(A,B)) & v13_algstr_0(k5_ordeq_01(A,B)) & v2_rlvect_1(k5_ordeq_01(A,B)) & v3_rlvect_1(k5_ordeq_01(A,B)) & v4_rlvect_1(k5_ordeq_01(A,B)) & v5_rlvect_1(k5_ordeq_01(A,B)) & v6_rlvect_1(k5_ordeq_01(A,B)) & v7_rlvect_1(k5_ordeq_01(A,B)) & v8_rlvect_1(k5_ordeq_01(A,B)) & v3_normsp_0(k5_ordeq_01(A,B)) & v4_normsp_0(k5_ordeq_01(A,B)) & v2_normsp_1(k5_ordeq_01(A,B)) & v3_lopban_1(k5_ordeq_01(A,B)) & l1_normsp_1(k5_ordeq_01(A,B)) ) ) ) )).
fof(l34_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_prelamb(A,B,E) & r2_prelamb(A,k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),D)),F) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,B),k12_finseq_1(u1_struct_0(A),k1_prelamb(A,E,D))),F) ) ) ) ) ) ) ) )).
fof(l34_realset2,axiom,( m3_realset1(k2_realset2,c4__realset2,c5__realset2) )).
fof(l34_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & v1_rlaffin1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( ~ r1_xxreal_0(k4_card_1(C),B) => ! [D] : ( m2_rlaffin3(D,k15_euclid(A),C) => ( k1_funct_1(D,k3_finseq_1(D)) = k5_euclid(A) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k4_rlaffin1(k15_euclid(A),C))))) => ( F = a_5_5_rlaffin3(A,B,C,D,E) => ( v3_pre_topc(E,k15_euclid(B)) <=> v3_pre_topc(F,k1_pre_topc(k15_euclid(A),k4_rlaffin1(k15_euclid(A),C))) ) ) ) ) ) ) ) ) ) ) )).
fof(l34_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => r1_tarski(u1_struct_0(k1_rlsub_2(A,k2_rlsub_2(A,B,C),k2_rlsub_2(A,C,D))),u1_struct_0(k2_rlsub_2(A,C,k1_rlsub_2(A,B,D)))) ) ) ) ) )).
fof(l34_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => u1_struct_0(k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D)) = u1_struct_0(D) ) ) ) ) )).
fof(l34_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => r1_tarski(u1_struct_0(k1_rusub_2(A,k2_rusub_2(A,B,C),k2_rusub_2(A,C,D))),u1_struct_0(k2_rusub_2(A,C,k1_rusub_2(A,B,D)))) ) ) ) ) )).
fof(l34_rusub_3,axiom,( ! [A] : ! [B] : ( ~ r2_tarski(B,A) => k6_subset_1(A,k1_tarski(B)) = A ) )).
fof(l34_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,k17_scm_comp(k3_scm_comp(A))) => k1_funct_1(B,k10_ami_3(D)) = k1_funct_1(C,k10_ami_3(D)) ) ) => k12_scm_comp(B,k3_scm_comp(A)) = k12_scm_comp(C,k3_scm_comp(A)) ) ) ) ) )).
fof(l34_scmbsort,axiom,( k4_scmfsa_2(k5_numbers) != k4_scmfsa_2(2) )).
fof(l34_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k3_scmisort,A) => ( k3_compos_1(k1_scmfsa_2,A,k5_numbers) = k6_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,1) = k11_scmfsa_2(2) & k3_compos_1(k1_scmfsa_2,A,2) = k6_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,3) = k11_scmfsa_2(4) & k3_compos_1(k1_scmfsa_2,A,4) = k6_scmfsa_2(k4_scmfsa_2(4),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,5) = k11_scmfsa_2(6) & k3_compos_1(k1_scmfsa_2,A,6) = k6_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,7) = k11_scmfsa_2(8) & k3_compos_1(k1_scmfsa_2,A,8) = k6_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,9) = k11_scmfsa_2(10) & k3_compos_1(k1_scmfsa_2,A,10) = k16_scmfsa_2(k4_scmfsa_2(1),k5_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,11) = k11_scmfsa_2(12) ) ) ) )).
fof(l34_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k6_scmring2(A,B,C),k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(l34_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers => ( ( ~ r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(3)),k5_numbers) => ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k1_scmp_gcd(1)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(2))) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) ) ) & ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(3)),k5_numbers) => ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k1_scmp_gcd(2)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(2)),k1_funct_1(B,k1_scmp_gcd(1))) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) ) ) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k1_scmp_gcd(3)) = k6_xcmplx_0(k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k1_scmp_gcd(1)),k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),B,A),k1_scmp_gcd(2))) ) ) ) ) )).
fof(l34_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ! [H] : ( m2_finseq_1(H,k4_numbers) => ( ( r1_scpisort(G,A,C) & r1_scpisort(H,B,C) & k3_finseq_1(G) = F & k3_finseq_1(H) = F & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(k1_nat_1(C,1),I) => ( I = D | I = E | k1_funct_1(B,k1_scmp_gcd(I)) = k1_funct_1(A,k1_scmp_gcd(I)) ) ) ) ) => ( ( ~ ( k1_funct_1(B,k1_scmp_gcd(D)) = k1_funct_1(A,k1_scmp_gcd(D)) & k1_funct_1(B,k1_scmp_gcd(E)) = k1_funct_1(A,k1_scmp_gcd(E)) ) & ~ ( r1_xxreal_0(k1_nat_1(C,1),D) & r1_xxreal_0(k1_nat_1(C,1),E) & r1_xxreal_0(D,k2_xcmplx_0(C,F)) & r1_xxreal_0(E,k2_xcmplx_0(C,F)) & k1_funct_1(B,k1_scmp_gcd(D)) = k1_funct_1(A,k1_scmp_gcd(E)) & k1_funct_1(B,k1_scmp_gcd(E)) = k1_funct_1(A,k1_scmp_gcd(D)) ) ) | r2_classes1(G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l34_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k1_sin_cos2,k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) ) ) )).
fof(l34_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k7_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(B)),k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) = k6_sin_cos2(A) & k3_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(B)) = k3_xcmplx_0(k6_sin_cos2(A),k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) & k2_sin_cos2(A) = k3_xcmplx_0(k6_sin_cos2(A),k4_sin_cos2(A)) & k3_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)) = k3_xcmplx_0(k3_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) ) ) ) )).
fof(l34_sincos10,axiom,( r1_tarski(k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))),k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))))) )).
fof(l34_srings_2,axiom,( k3_xboole_0(k1_enumset1(1,2,3),k1_enumset1(2,3,4)) = k2_tarski(2,3) )).
fof(l34_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => k1_lattices(k5_substlat(A,B),C,D) = k1_lattices(k5_substlat(A,B),D,C) ) ) )).
fof(l34_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_termord(A,B,C,D) = k4_struct_0(C) => k3_polynom1(k15_pre_poly(A),C,k5_termord(A,B,C,D)) = k1_xboole_0 ) ) ) ) ) )).
fof(l34_topalg_5,axiom,( u1_struct_0(k8_toprealb(2)) = k3_topreal9(2,k19_euclid(k5_numbers,k5_numbers),1) )).
fof(l34_topreal8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_funct_1(A) & v2_topreal1(A) & v3_topreal1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v1_zfmisc_1(B) & v2_funct_1(B) & v2_topreal1(B) & v3_topreal1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(k3_finseq_1(A),C) & ~ r1_xxreal_0(C,1) & ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B),C),k2_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B),D))) & E = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) ) ) ) ) ) ) )).
fof(l34_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( k12_euclid(k5_algstr_0(k15_euclid(A),B,C)) = k5_numbers => B = C ) ) ) ) )).
fof(l34_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = u1_struct_0(B) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k9_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)) = k6_domain_1(u1_struct_0(B),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(l34_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( v2_rlvect_1(g2_vectsp_2(A,B,k1_tarski(k5_ordinal1),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_ordinal1)),k9_funct_3(k1_tarski(k5_ordinal1),u1_struct_0(B)))) & v3_rlvect_1(g2_vectsp_2(A,B,k1_tarski(k5_ordinal1),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_ordinal1)),k9_funct_3(k1_tarski(k5_ordinal1),u1_struct_0(B)))) & v4_rlvect_1(g2_vectsp_2(A,B,k1_tarski(k5_ordinal1),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_ordinal1)),k9_funct_3(k1_tarski(k5_ordinal1),u1_struct_0(B)))) & v13_algstr_0(g2_vectsp_2(A,B,k1_tarski(k5_ordinal1),k9_funct_5,k5_funct_5,k10_funct_3(u1_struct_0(A),k1_tarski(k5_ordinal1)),k9_funct_3(k1_tarski(k5_ordinal1),u1_struct_0(B)))) ) ) ) )).
fof(l34_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ~ ( v3_lattice3(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(C,k1_waybel15(A)) & B = k1_yellow_0(A,C) ) ) & ! [B] : ~ r5_waybel_1(A,k2_yellow_1(B)) ) ) )).
fof(l34_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(C,A) & r2_tarski(B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_waybel_3(A,D,B) & r2_tarski(D,C) ) ) ) ) ) ) )).
fof(l34_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_relset_1(u1_struct_0(C),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C)) = k1_relset_1(u1_struct_0(k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D)),u1_waybel_0(k1_waybel25(B),k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D))) ) ) ) ) )).
fof(l34_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k1_yellow_1(u1_pre_topc(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_pre_topc(D,A) & m1_connsp_2(D,A,C) ) => ? [E] : ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(D,E) & m1_connsp_2(k1_setfam_1(E),A,C) ) ) ) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v3_pre_topc(k5_waybel26(D),k2_borsuk_1(B,A)) & m1_subset_1(k5_waybel26(D),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) ) ) ) ) ) )).
fof(l34_waybel_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(C,k1_funct_2(A,k5_finsub_1(B))) => ! [D] : ( m1_subset_1(D,A) => ( v1_finset_1(k1_funct_1(C,D)) & m1_subset_1(k1_funct_1(C,D),k1_zfmisc_1(B)) ) ) ) ) ) ) )).
fof(l34_yellow16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) => ~ ( ! [D] : ( m1_subset_1(D,A) => r1_yellow_0(k2_yellow16(A,B,D),k5_waybel_3(A,B,D,C)) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) => ~ ( ! [E] : ( m1_subset_1(E,A) => k4_waybel_3(A,B,D,E) = k1_yellow_0(k3_waybel_3(A,B,E),k5_waybel_3(A,B,E,C)) ) & r2_lattice3(k4_yellow_1(A,B),C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(k4_yellow_1(A,B))) => ( r2_lattice3(k4_yellow_1(A,B),C,E) => r3_orders_2(k4_yellow_1(A,B),D,E) ) ) ) ) ) ) ) ) )).
fof(l35_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k4_tarski(A,B),k1_tarski(k4_tarski(C,D))) => ( A = C & B = D ) ) )).
fof(l35_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_algstr_1)) => ( B = 1 => ( k6_algstr_0(k2_algstr_1,A,B) = A & k6_algstr_0(k2_algstr_1,B,A) = A ) ) ) ) )).
fof(l35_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( C = k3_rlvect_1(A,k1_rlvect_1(A,F,J),k1_rlvect_1(A,G,K)) & F = k3_rlvect_1(A,B,k1_rlvect_1(A,D,H)) & G = k3_rlvect_1(A,B,k1_rlvect_1(A,E,I)) ) => C = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k2_xcmplx_0(J,K)),k1_rlvect_1(A,D,k3_xcmplx_0(J,H))),k1_rlvect_1(A,E,k3_xcmplx_0(K,I))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l35_arytm_2,axiom,( ! [A] : ~ ( r2_tarski(A,k1_arytm_2) & ! [B] : ( m1_subset_1(B,k5_arytm_3) => r2_tarski(B,A) ) ) )).
fof(l35_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( k5_int_1(B,k5_series_1(2,A)) = k5_int_1(C,k5_series_1(2,A)) => ( r1_xxreal_0(k5_numbers,B) | r1_xxreal_0(k5_numbers,C) | k2_binari_4(A,B) = k2_binari_4(A,C) ) ) ) ) ) )).
fof(l35_binop_2,axiom,( m1_subset_1(1,k2_numbers) )).
fof(l35_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_closure2(k2_closure2(A,B),A,B) & v2_closure2(k2_closure2(A,B),A,B) & v3_closure2(k2_closure2(A,B),A,B) & v4_closure2(k2_closure2(A,B),A,B) & v5_closure2(k2_closure2(A,B),A,B) & v6_closure2(k2_closure2(A,B),A,B) ) ) )).
fof(l35_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_pcomps_1(B,A) & v1_setfam_1(B) ) => v1_finset_1(B) ) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_pcomps_1(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => k1_card_1(C) = 1 ) ) ) => v1_finset_1(B) ) ) ) ) )).
fof(l35_csspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),A,B)) = k8_complex1(k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),B,A))) ) ) )).
fof(l35_descip_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,15) & ~ m2_subset_1(A,k4_ordinal1,k5_card_1(16)) ) ) )).
fof(l35_dtconstr,axiom,( m2_subset_1(c2__dtconstr,u1_struct_0(k5_dtconstr),k6_dtconstr(k5_dtconstr)) )).
fof(l35_ec_pf_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => k2_binom(k9_int_3(C),k2_binom(k9_int_3(C),D,A),B) = k2_binom(k9_int_3(C),D,k3_xcmplx_0(A,B)) ) ) ) ) )).
fof(l35_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_enumset1(E,F,G,H)) )).
fof(l35_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v3_valued_0(E) ) => ( ( B = D & C = E ) => k3_rlvect_1(k15_euclid(A),B,C) = k1_valued_1(D,E) ) ) ) ) ) ) )).
fof(l35_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( C != E & D != E & k1_funct_1(k2_finseq_7(A,B,C,D),E) != k1_funct_1(B,E) ) ) ) ) ) ) )).
fof(l35_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( v7_ordinal1(D) => ( ( v2_binop_1(C,A) & v2_fomodel0(B,A,C) ) => v1_fomodel0(k6_fomodel0(A,C),k4_finseq_2(k2_xcmplx_0(D,1),B)) ) ) ) ) ) )).
fof(l35_fomodel1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => r1_tarski(k1_funct_1(k25_fomodel1(B),A),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) ) )).
fof(l35_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,E))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) => r2_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,C),k8_fomodel3(A,C,k4_relset_1(A,E,B,C,F,G),D),k4_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,E),k4_finseq_2(D,B),k4_finseq_2(D,C),k8_fomodel3(A,E,F,D),k8_fomodel3(B,C,G,D))) ) ) ) ) ) ) ) )).
fof(l35_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ( r1_tarski(D,E) => ( ( ~ v7_fomodel4(E,C) & ~ v7_fomodel4(D,C) ) | r1_tarski(k1_funct_1(k5_fomodel4(C,D,A),B),k1_funct_1(k5_fomodel4(C,E,A),B)) ) ) ) ) ) ) )).
fof(l35_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ! [F] : ( ( r2_tarski(E,A) & r2_tarski(F,C) ) => k2_seq_4(k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,k4_fuzzy_2(B,C),E,F))) = k1_funct_1(k4_fuzzy_2(A,C),k4_tarski(E,F)) ) ) ) ) ) )).
fof(l35_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => m1_glib_000(A,A) ) )).
fof(l35_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v3_glib_002(A) ) => ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & ? [C] : ( m1_subset_1(C,k6_glib_000(A)) & B != C & v11_glib_000(B,A) & v11_glib_000(C,A) ) ) ) )).
fof(l35_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k5_group_1(B,C,k1_nat_1(A,1)) = k6_algstr_0(B,k5_group_1(B,C,A),C) ) ) ) )).
fof(l35_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ( ! [E] : ~ ( r2_tarski(E,C) & ! [F] : ~ ( r2_tarski(F,D) & r1_tarski(F,E) ) ) => r3_lattices(k5_substlat(A,B),C,D) ) ) ) ) )).
fof(l35_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r2_aff_1(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = G <=> ( ( r2_tarski(F,D) & F = G ) | ( ~ r2_tarski(F,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(H,D) & r2_tarski(I,D) & r2_analoaf(A,H,B,I,F) & r2_analoaf(A,H,C,I,G) & r2_aff_1(A,F,G,D) ) ) ) ) ) ) ) ) => ( r2_tarski(B,D) | v8_transgeo(E,A) ) ) ) ) ) ) ) )).
fof(l35_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => v8_intpro_1(k7_intpro_1(A)) ) )).
fof(l35_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_21_jgraph_4(A) => v4_pre_topc(B,k15_euclid(2)) ) ) ) )).
fof(l35_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k4_binop_1(u1_struct_0(A),u2_lattices(A),k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,D),C) = k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,k9_funcop_1(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),D,C)) ) ) ) ) )).
fof(l35_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_lopclset(A)))) => ( r2_tarski(B,k10_lopclset(A)) => v3_pre_topc(B,k11_lopclset(A)) ) ) ) )).
fof(l35_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( k3_funct_2(B,k6_numbers,C,D) = k5_numbers & k3_funct_2(B,k6_numbers,C,E) = k5_numbers ) => k3_funct_2(B,k6_numbers,C,k1_measure1(A,B,D,E)) = k5_numbers ) ) ) ) ) ) )).
fof(l35_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,1,2,3) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_finseq_4(k4_ordinal1,1,2,3) != k3_finseq_4(k4_ordinal1,3,1,2) )).
fof(l35_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_membered(D) => ( D = a_3_0_mazurulm(A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_tarski(E,a_3_1_mazurulm(A,B,C)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,k1_rlvect_1(A,k3_rlvect_1(A,B,C),k6_xxreal_3(1,2))) = k1_rlvect_1(A,k3_rlvect_1(A,B,C),k6_xxreal_3(1,2)) ) ) ) ) ) ) ) )).
fof(l35_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ( v1_metrizts(A) <=> v5_waybel23(A) ) ) )).
fof(l35_mod_2,axiom,( ? [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) & A = 1 ) )).
fof(l35_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_1(D) & m2_finseq_1(D,k4_ordinal1) ) => ( k11_modelc_1(C,A) = k11_modelc_1(D,B) => ( C = D & A = B ) ) ) ) ) ) )).
fof(l35_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ( k8_modelc_2(C,A) = k8_modelc_2(D,B) => ( C = D & A = B ) ) ) ) ) ) )).
fof(l35_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(29,A) & v1_int_2(A) & A != 2 & A != 3 & A != 5 & A != 7 & A != 11 & A != 13 & A != 17 & A != 19 & A != 23 ) ) )).
fof(l35_ndiff_3,axiom,( v3_rcomp_1(k2_subset_1(k1_numbers)) )).
fof(l35_neckla_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ( ( A = k2_xboole_0(B,C) & r1_subset_1(B,C) ) => r2_tarski(k1_card_1(B),k5_card_1(k4_card_1(A))) ) ) ) ) )).
fof(l35_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_normsp_3(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k3_normsp_3(A,B))) => ! [G] : ( v1_xreal_0(G) => ( ( C = E & D = F ) => ( k2_normsp_0(A,C) = k2_normsp_0(k3_normsp_3(A,B),E) & k3_rlvect_1(A,C,D) = k1_algstr_0(k3_normsp_3(A,B),E,F) & k1_rlvect_1(A,C,G) = k1_rlvect_1(k3_normsp_3(A,B),E,G) ) ) ) ) ) ) ) ) ) )).
fof(l35_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_o_ring_1(B,A) => v11_o_ring_1(B,A) ) ) ) )).
fof(l35_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => r2_tarski(k3_polynom1(k15_pre_poly(A),C,D),k5_finsub_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),B)))) ) ) ) ) )).
fof(l35_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_prelamb(A,B,E) & r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),D),C),F) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),k1_prelamb(A,E,D))),C),F) ) ) ) ) ) ) ) )).
fof(l35_realset2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( A = k6_subset_1(c4__realset2,k6_domain_1(c4__realset2,c5__realset2)) & C = c7__realset2 ) => ( ~ v2_struct_0(g2_algstr_0(A,B,C)) & v13_algstr_0(g2_algstr_0(A,B,C)) & v2_rlvect_1(g2_algstr_0(A,B,C)) & v3_rlvect_1(g2_algstr_0(A,B,C)) & v4_rlvect_1(g2_algstr_0(A,B,C)) & l2_algstr_0(g2_algstr_0(A,B,C)) ) ) ) ) ) )).
fof(l35_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ( ( r1_lang1(k1_scm_comp,A,k4_pre_poly(u1_struct_0(k1_scm_comp),k1_bintree1(u1_struct_0(k1_scm_comp),B),k1_bintree1(u1_struct_0(k1_scm_comp),C))) & ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,k17_scm_comp(B)) => k1_funct_1(D,k10_ami_3(F)) = k1_funct_1(E,k10_ami_3(F)) ) ) => k12_scm_comp(D,B) = k12_scm_comp(E,B) ) ) ) & ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,k17_scm_comp(C)) => k1_funct_1(D,k10_ami_3(F)) = k1_funct_1(E,k10_ami_3(F)) ) ) => k12_scm_comp(D,C) = k12_scm_comp(E,C) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,k17_scm_comp(k2_scm_comp(A,B,C))) => k1_funct_1(D,k10_ami_3(F)) = k1_funct_1(E,k10_ami_3(F)) ) ) => k12_scm_comp(D,k2_scm_comp(A,B,C)) = k12_scm_comp(E,k2_scm_comp(A,B,C)) ) ) ) ) ) ) ) )).
fof(l35_scmbsort,axiom,( k4_scmfsa_2(k5_numbers) != k4_scmfsa_2(4) )).
fof(l35_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( r1_tarski(k3_scmisort,B) => ( ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(12,C) & ~ ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,C),k4_struct_0(k1_scmfsa_2)) = C & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,C),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,C),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) ) ) ) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(1)) = k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(2)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(3)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(4)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(5)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(6)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) ) ) ) ) )).
fof(l35_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_scmpds_6(B,D,A) & r2_scmpds_6(B,D,A) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k1_scmpds_4(B,k1_scmpds_6(k1_nat_1(k4_card_1(C),1))),C))),D,k1_nat_1(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,B)),D),1))) = k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),1) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,B)),D,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,B)),D))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k1_scmpds_4(B,k1_scmpds_6(k1_nat_1(k4_card_1(C),1))),C))),D,k1_nat_1(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,B)),D),1))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,B)),D)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k1_scmpds_4(B,k1_scmpds_6(k1_nat_1(k4_card_1(C),1))),C))),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k1_scmpds_4(B,k1_scmpds_6(k1_nat_1(k4_card_1(C),1))),C))),D,E)) = k2_compos_1(k1_scmpds_2) ) ) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k1_scmpds_4(B,k1_scmpds_6(k1_nat_1(k4_card_1(C),1))),C))),D,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,B)),D))) = k4_card_1(B) & r1_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k1_scmpds_4(B,k1_scmpds_6(k1_nat_1(k4_card_1(C),1))),C))),D) & k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k1_scmpds_4(B,k1_scmpds_6(k1_nat_1(k4_card_1(C),1))),C))),D) = k1_nat_1(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,B)),D),1) ) ) ) ) ) ) )).
fof(l35_scmpds_7,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k4_card_1(k10_compos_1(k1_scmpds_2,k1_scmpds_7(A,B,C,D))) = k1_nat_1(k4_card_1(D),4) ) ) ) ) )).
fof(l35_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ~ v2_extpro_1(k8_scmring2(A,B),k5_card_1(2),k1_scmring2(A)) ) ) )).
fof(l35_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(3)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(2))) ) => ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(1)),k5_numbers) | r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(2)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2))),B,A),k1_scmp_gcd(1)) = k3_int_2(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(2))) & k1_funct_1(k6_scmpds_4(k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2))),B,A),k1_scmp_gcd(2)) = k3_int_2(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(2))) & r1_scmpds_6(k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2))),B,A) & r2_scmpds_6(k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2))),B,A) ) ) ) ) ) )).
fof(l35_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v1_int_1(F) => ! [G] : ( v1_int_1(G) => ( ( ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(C,H) => ( H = D | H = E | k1_funct_1(B,k1_scmp_gcd(H)) = k1_funct_1(A,k1_scmp_gcd(H)) ) ) ) & r1_xxreal_0(D,E) ) => ( ( ~ ( k1_funct_1(B,k1_scmp_gcd(D)) = k1_funct_1(A,k1_scmp_gcd(D)) & k1_funct_1(B,k1_scmp_gcd(E)) = k1_funct_1(A,k1_scmp_gcd(E)) ) & ~ ( r1_xxreal_0(F,D) & r1_xxreal_0(E,G) & k1_funct_1(B,k1_scmp_gcd(D)) = k1_funct_1(A,k1_scmp_gcd(E)) & k1_funct_1(B,k1_scmp_gcd(E)) = k1_funct_1(A,k1_scmp_gcd(D)) ) ) | ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(C,H) => ( ( r1_xxreal_0(F,H) & r1_xxreal_0(H,G) ) | k1_funct_1(B,k1_scmp_gcd(H)) = k1_funct_1(A,k1_scmp_gcd(H)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l35_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k3_xcmplx_0(k2_nat_1(k1_nat_1(A,2),k1_nat_1(k2_nat_1(2,k1_nat_1(A,1)),1)),k2_xcmplx_0(k6_xcmplx_0(k1_nat_1(k2_nat_1(3,k11_newton(k1_nat_1(A,1),4)),k2_nat_1(6,k11_newton(k1_nat_1(A,1),3))),k2_nat_1(3,k1_nat_1(A,1))),1)) = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(6,k1_newton(A,6)),k3_xcmplx_0(57,k1_newton(A,5))),k3_xcmplx_0(216,k1_newton(A,4))),k3_xcmplx_0(414,k1_newton(A,3))),k3_xcmplx_0(419,k1_newton(A,2))),k3_xcmplx_0(211,A)),42) ) )).
fof(l35_sincos10,axiom,( k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos) = k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(l35_srings_2,axiom,( k3_xboole_0(k1_enumset1(1,2,3),k1_tarski(1)) = k1_tarski(1) )).
fof(l35_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_substlat(A,B))) => k1_lattices(k5_substlat(A,B),C,k1_lattices(k5_substlat(A,B),D,E)) = k1_lattices(k5_substlat(A,B),k1_lattices(k5_substlat(A,B),C,D),E) ) ) ) )).
fof(l35_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,B) = k2_subset_1(k1_numbers) & ! [C] : ( v1_xreal_0(C) => ( k1_funct_1(B,C) = k6_xcmplx_0(A,C) & ! [D] : ( v1_xreal_0(D) => ( r1_fdiff_1(B,D) & k1_fdiff_1(B,D) = k4_xcmplx_0(1) ) ) ) ) ) ) )).
fof(l35_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r6_pboole(A,k3_termord(A,B,C,D),k2_polynom7(A,C,D)) & k4_termord(A,B,C,D) = k3_polynom7(A,C,D) & r8_pboole(k15_pre_poly(A),k5_termord(A,B,C,D),D) ) ) ) ) ) )).
fof(l35_topalg_5,axiom,( k1_relset_1(u1_struct_0(k2_topalg_2),k12_toprealb) = k1_numbers )).
fof(l35_topreal8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_funct_1(A) & v2_topreal1(A) & v3_topreal1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v1_zfmisc_1(B) & v2_funct_1(B) & v2_topreal1(B) & v3_topreal1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,k3_finseq_1(A)) & ~ r1_xxreal_0(k3_finseq_1(k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k1_nat_1(D,1)) & ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B),C),k2_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B),D))) & E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) ) ) ) ) ) ) )).
fof(l35_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( B = C => k12_euclid(k5_algstr_0(k15_euclid(A),B,C)) = k5_numbers ) ) ) ) )).
fof(l35_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( D = E => r1_tarski(k4_tex_4(A,D),k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),E))) ) ) ) ) ) ) ) )).
fof(l35_valuat_1,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k8_margrel1(k9_margrel1(k8_margrel1(k9_margrel1(A,k8_margrel1(B))),k9_margrel1(k8_margrel1(k9_margrel1(B,C)),k9_margrel1(A,C)))) = k7_margrel1 ) ) ) )).
fof(l35_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => u1_struct_0(k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),D)) = u1_struct_0(D) ) ) ) ) )).
fof(l35_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_waybel12(C,A,B) => r1_tarski(C,B) ) ) ) )).
fof(l35_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_pre_topc(k2_waybel_3(A,B),A) ) ) )).
fof(l35_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k1_yellow_1(u1_pre_topc(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_pre_topc(D,A) & m1_connsp_2(D,A,C) ) => ? [E] : ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(D,E) & m1_connsp_2(k1_setfam_1(E),A,C) ) ) ) ) => v3_waybel_3(k1_yellow_1(u1_pre_topc(A))) ) ) )).
fof(l35_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) ) => ! [G] : ( ( v1_relat_1(G) & v2_relat_1(G) & v4_relat_1(G,B) & v1_funct_1(G) & v1_partfun1(G,B) ) => ( r2_tarski(G,k1_funct_2(B,k5_finsub_1(C))) => ! [H] : ( m2_pboole(H,B,G,k7_funcop_1(B,u1_struct_0(A))) => ( ! [I] : ( m1_subset_1(I,B) => ! [J] : ( r2_hidden(J,k1_funct_1(G,I)) => k1_funct_1(k1_waybel_5(B,u1_struct_0(A),G,H,I),J) = k1_binop_1(F,I,J) ) ) => ( v1_finset_1(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),G,H,E))) & m1_subset_1(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),G,H,E)),k1_zfmisc_1(k2_relset_1(D,k1_waybel_5(B,D,k7_funcop_1(B,C),k6_waybel_5(B,C,D,F),E)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l35_wsierp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( r1_xxreal_0(1,k3_finseq_1(A)) => ( A = k7_finseq_1(k9_finseq_1(k1_funct_1(A,1)),k2_finseq_3(1,A)) & A = k7_finseq_1(k2_finseq_3(k3_finseq_1(A),A),k9_finseq_1(k1_funct_1(A,k3_finseq_1(A)))) ) ) ) )).
fof(l35_yellow16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) => ~ ( ! [D] : ( m1_subset_1(D,A) => r2_yellow_0(k2_yellow16(A,B,D),k5_waybel_3(A,B,D,C)) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) => ~ ( ! [E] : ( m1_subset_1(E,A) => k4_waybel_3(A,B,D,E) = k2_yellow_0(k3_waybel_3(A,B,E),k5_waybel_3(A,B,E,C)) ) & r1_lattice3(k4_yellow_1(A,B),C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(k4_yellow_1(A,B))) => ( r1_lattice3(k4_yellow_1(A,B),C,E) => r1_orders_2(k4_yellow_1(A,B),E,D) ) ) ) ) ) ) ) ) )).
fof(l35_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_compts_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r3_waybel_9(A,B,C) ) ) ) ) )).
fof(l35_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v8_zf_fund1(B,A) => r2_tarski(C,B) ) ) ) ) )).
fof(l36_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_algstr_1)) => ~ ( A != k4_struct_0(k2_algstr_1) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_algstr_1)) => k6_algstr_0(k2_algstr_1,A,C) != B ) ) ) ) )).
fof(l36_anproj_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( A != C & B != k5_numbers & k6_xcmplx_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,B)) = k5_numbers ) ) ) ) )).
fof(l36_binop_2,axiom,( r3_binop_1(k2_numbers,c4__binop_2,k5_binop_2) )).
fof(l36_cat_6,axiom,( v12_cat_6(k4_cat_6(o_0_10_cat_6)) )).
fof(l36_catalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(A,k9_xtuple_0(B)) => k3_relat_1(k9_finseq_1(A),B) = k9_finseq_1(k1_funct_1(B,A)) ) ) )).
fof(l36_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v3_cgames_1(B) & v4_cgames_1(B) & k1_funct_1(B,1) = A & k1_funct_1(B,k3_finseq_1(B)) = A ) ) )).
fof(l36_classes1,axiom,( k4_classes1(k5_ordinal1) = k1_xboole_0 & ! [A] : ( v3_ordinal1(A) => k4_classes1(k1_ordinal1(A)) = k9_setfam_1(k4_classes1(A)) ) & ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) ) => ( ( v4_ordinal1(A) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k4_classes1(C) ) ) ) => ( A = k5_ordinal1 | k4_classes1(A) = k3_tarski(k10_xtuple_0(B)) ) ) ) ) )).
fof(l36_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_pcomps_1(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => k1_card_1(C) = 1 ) ) ) => v1_finset_1(B) ) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_finset_1(B) & v1_xboole_0(k2_topgen_1(A,B)) ) ) ) ) )).
fof(l36_csspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),k3_rlvect_1(k3_clvect_1(o_0_5_csspace),A,B),C)) = k2_xcmplx_0(k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),A,C)),k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),B,C))) ) ) ) )).
fof(l36_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,B)) ) ) )).
fof(l36_descip_1,axiom,( ! [A] : ( m1_subset_1(A,16) => ! [B] : ( m1_subset_1(B,16) => ! [C] : ( m1_subset_1(C,16) => ! [D] : ( m1_subset_1(D,16) => ! [E] : ( m1_subset_1(E,16) => ! [F] : ( m1_subset_1(F,16) => ! [G] : ( m1_subset_1(G,16) => ! [H] : ( m1_subset_1(H,16) => ! [I] : ( m1_subset_1(I,16) => ! [J] : ( m1_subset_1(J,16) => ! [K] : ( m1_subset_1(K,16) => ! [L] : ( m1_subset_1(L,16) => ! [M] : ( m1_subset_1(M,16) => ! [N] : ( m1_subset_1(N,16) => ! [O] : ( m1_subset_1(O,16) => ! [P] : ( m1_subset_1(P,16) => ! [Q] : ( m1_subset_1(Q,16) => ! [R] : ( m1_subset_1(R,16) => ! [S] : ( m1_subset_1(S,16) => ! [T] : ( m1_subset_1(T,16) => ! [U] : ( m1_subset_1(U,16) => ! [V] : ( m1_subset_1(V,16) => ! [W] : ( m1_subset_1(W,16) => ! [X] : ( m1_subset_1(X,16) => ! [Y] : ( m1_subset_1(Y,16) => ! [Z] : ( m1_subset_1(Z,16) => ! [A1] : ( m1_subset_1(A1,16) => ! [B1] : ( m1_subset_1(B1,16) => ! [C1] : ( m1_subset_1(C1,16) => ! [D1] : ( m1_subset_1(D1,16) => ! [E1] : ( m1_subset_1(E1,16) => ! [F1] : ( m1_subset_1(F1,16) => ! [G1] : ( m1_subset_1(G1,16) => ! [H1] : ( m1_subset_1(H1,16) => ! [I1] : ( m1_subset_1(I1,16) => ! [J1] : ( m1_subset_1(J1,16) => ! [K1] : ( m1_subset_1(K1,16) => ! [L1] : ( m1_subset_1(L1,16) => ! [M1] : ( m1_subset_1(M1,16) => ! [N1] : ( m1_subset_1(N1,16) => ! [O1] : ( m1_subset_1(O1,16) => ! [P1] : ( m1_subset_1(P1,16) => ! [Q1] : ( m1_subset_1(Q1,16) => ! [R1] : ( m1_subset_1(R1,16) => ! [S1] : ( m1_subset_1(S1,16) => ! [T1] : ( m1_subset_1(T1,16) => ! [U1] : ( m1_subset_1(U1,16) => ! [V1] : ( m1_subset_1(V1,16) => ! [W1] : ( m1_subset_1(W1,16) => ! [X1] : ( m1_subset_1(X1,16) => ! [Y1] : ( m1_subset_1(Y1,16) => ! [Z1] : ( m1_subset_1(Z1,16) => ! [A2] : ( m1_subset_1(A2,16) => ! [B2] : ( m1_subset_1(B2,16) => ! [C2] : ( m1_subset_1(C2,16) => ! [D2] : ( m1_subset_1(D2,16) => ! [E2] : ( m1_subset_1(E2,16) => ! [F2] : ( m1_subset_1(F2,16) => ! [G2] : ( m1_subset_1(G2,16) => ! [H2] : ( m1_subset_1(H2,16) => ! [I2] : ( m1_subset_1(I2,16) => ! [J2] : ( m1_subset_1(J2,16) => ! [K2] : ( m1_subset_1(K2,16) => ! [L2] : ( m1_subset_1(L2,16) => ! [M2] : ( ( v1_funct_1(M2) & v1_funct_2(M2,64,16) & m1_subset_1(M2,k1_zfmisc_1(k2_zfmisc_1(64,16))) ) => ! [N2] : ( ( v1_funct_1(N2) & v1_funct_2(N2,64,16) & m1_subset_1(N2,k1_zfmisc_1(k2_zfmisc_1(64,16))) ) => ( ( k14_descip_1(M2,1) = A & k14_descip_1(M2,2) = B & k14_descip_1(M2,3) = C & k14_descip_1(M2,4) = D & k14_descip_1(M2,5) = E & k14_descip_1(M2,6) = F & k14_descip_1(M2,7) = G & k14_descip_1(M2,8) = H & k14_descip_1(M2,9) = I & k14_descip_1(M2,10) = J & k14_descip_1(M2,11) = K & k14_descip_1(M2,12) = L & k14_descip_1(M2,13) = M & k14_descip_1(M2,14) = N & k14_descip_1(M2,15) = O & k14_descip_1(M2,16) = P & k14_descip_1(M2,17) = Q & k14_descip_1(M2,18) = R & k14_descip_1(M2,19) = S & k14_descip_1(M2,20) = T & k14_descip_1(M2,21) = U & k14_descip_1(M2,22) = V & k14_descip_1(M2,23) = W & k14_descip_1(M2,24) = X & k14_descip_1(M2,25) = Y & k14_descip_1(M2,26) = Z & k14_descip_1(M2,27) = A1 & k14_descip_1(M2,28) = B1 & k14_descip_1(M2,29) = C1 & k14_descip_1(M2,30) = D1 & k14_descip_1(M2,31) = E1 & k14_descip_1(M2,32) = F1 & k14_descip_1(M2,33) = G1 & k14_descip_1(M2,34) = H1 & k14_descip_1(M2,35) = I1 & k14_descip_1(M2,36) = J1 & k14_descip_1(M2,37) = K1 & k14_descip_1(M2,38) = L1 & k14_descip_1(M2,39) = M1 & k14_descip_1(M2,40) = N1 & k14_descip_1(M2,41) = O1 & k14_descip_1(M2,42) = P1 & k14_descip_1(M2,43) = Q1 & k14_descip_1(M2,44) = R1 & k14_descip_1(M2,45) = S1 & k14_descip_1(M2,46) = T1 & k14_descip_1(M2,47) = U1 & k14_descip_1(M2,48) = V1 & k14_descip_1(M2,49) = W1 & k14_descip_1(M2,50) = X1 & k14_descip_1(M2,51) = Y1 & k14_descip_1(M2,52) = Z1 & k14_descip_1(M2,53) = A2 & k14_descip_1(M2,54) = B2 & k14_descip_1(M2,55) = C2 & k14_descip_1(M2,56) = D2 & k14_descip_1(M2,57) = E2 & k14_descip_1(M2,58) = F2 & k14_descip_1(M2,59) = G2 & k14_descip_1(M2,60) = H2 & k14_descip_1(M2,61) = I2 & k14_descip_1(M2,62) = J2 & k14_descip_1(M2,63) = K2 & k14_descip_1(M2,k5_numbers) = L2 & k14_descip_1(N2,1) = A & k14_descip_1(N2,2) = B & k14_descip_1(N2,3) = C & k14_descip_1(N2,4) = D & k14_descip_1(N2,5) = E & k14_descip_1(N2,6) = F & k14_descip_1(N2,7) = G & k14_descip_1(N2,8) = H & k14_descip_1(N2,9) = I & k14_descip_1(N2,10) = J & k14_descip_1(N2,11) = K & k14_descip_1(N2,12) = L & k14_descip_1(N2,13) = M & k14_descip_1(N2,14) = N & k14_descip_1(N2,15) = O & k14_descip_1(N2,16) = P & k14_descip_1(N2,17) = Q & k14_descip_1(N2,18) = R & k14_descip_1(N2,19) = S & k14_descip_1(N2,20) = T & k14_descip_1(N2,21) = U & k14_descip_1(N2,22) = V & k14_descip_1(N2,23) = W & k14_descip_1(N2,24) = X & k14_descip_1(N2,25) = Y & k14_descip_1(N2,26) = Z & k14_descip_1(N2,27) = A1 & k14_descip_1(N2,28) = B1 & k14_descip_1(N2,29) = C1 & k14_descip_1(N2,30) = D1 & k14_descip_1(N2,31) = E1 & k14_descip_1(N2,32) = F1 & k14_descip_1(N2,33) = G1 & k14_descip_1(N2,34) = H1 & k14_descip_1(N2,35) = I1 & k14_descip_1(N2,36) = J1 & k14_descip_1(N2,37) = K1 & k14_descip_1(N2,38) = L1 & k14_descip_1(N2,39) = M1 & k14_descip_1(N2,40) = N1 & k14_descip_1(N2,41) = O1 & k14_descip_1(N2,42) = P1 & k14_descip_1(N2,43) = Q1 & k14_descip_1(N2,44) = R1 & k14_descip_1(N2,45) = S1 & k14_descip_1(N2,46) = T1 & k14_descip_1(N2,47) = U1 & k14_descip_1(N2,48) = V1 & k14_descip_1(N2,49) = W1 & k14_descip_1(N2,50) = X1 & k14_descip_1(N2,51) = Y1 & k14_descip_1(N2,52) = Z1 & k14_descip_1(N2,53) = A2 & k14_descip_1(N2,54) = B2 & k14_descip_1(N2,55) = C2 & k14_descip_1(N2,56) = D2 & k14_descip_1(N2,57) = E2 & k14_descip_1(N2,58) = F2 & k14_descip_1(N2,59) = G2 & k14_descip_1(N2,60) = H2 & k14_descip_1(N2,61) = I2 & k14_descip_1(N2,62) = J2 & k14_descip_1(N2,63) = K2 & k14_descip_1(N2,k5_numbers) = L2 ) => r2_funct_2(64,16,M2,N2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l36_dtconstr,axiom,( m2_subset_1(c3__dtconstr,u1_struct_0(k5_dtconstr),k7_dtconstr(k5_dtconstr)) )).
fof(l36_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & v1_dualsp01(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => v4_xxreal_2(k15_dualsp01(A,B)) ) ) )).
fof(l36_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ( v1_dualsp02(A) => ( v7_struct_0(A) | v1_dualsp02(k17_dualsp01(A)) ) ) ) )).
fof(l36_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( B = D => k1_rlvect_1(k15_euclid(A),B,C) = k24_valued_1(D,C) ) ) ) ) ) )).
fof(l36_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) & k4_euclid_3(A,B,C) = k5_ordinal1 ) ) ) ) )).
fof(l36_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k6_circuit2(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k3_facirc_1)) = k9_margrel1(E,F) & k1_funct_1(k6_circuit2(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k6_circuit2(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) = k9_margrel1(G,E) ) ) ) ) ) ) )).
fof(l36_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ( v2_funct_1(C) => v2_funct_1(k2_rfinseq(B,A,C)) ) ) ) ) )).
fof(l36_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( v7_ordinal1(D) => ( ( v2_binop_1(C,B) & v2_fomodel0(A,B,C) ) => v1_fomodel0(k6_fomodel0(B,C),k4_finseq_2(k2_xcmplx_0(D,1),A)) ) ) ) ) )).
fof(l36_fomodel1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => r1_tarski(k1_funct_1(k25_fomodel1(C),A),k1_funct_1(k25_fomodel1(C),k2_xcmplx_0(A,B))) ) ) ) )).
fof(l36_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(C,D)) => r1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0)),k5_margrel1,k23_fomodel2(C,D,A,E),k23_fomodel2(C,D,k2_xcmplx_0(A,B),E)) ) ) ) ) ) )).
fof(l36_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) => r2_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,C),k8_fomodel3(A,C,k4_relset_1(A,B,B,C,E,F),D),k4_relset_1(k4_finseq_2(D,A),k4_finseq_2(D,B),k4_finseq_2(D,B),k4_finseq_2(D,C),k8_fomodel3(A,B,E,D),k8_fomodel3(B,C,F,D))) ) ) ) ) ) ) )).
fof(l36_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( r1_tarski(C,D) => ( ( ~ v7_fomodel4(D,B) & ~ v7_fomodel4(C,B) ) | r1_tarski(k5_setfam_1(k1_fomodel4(B),k7_relset_1(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k13_lang1(k9_setfam_1(k1_fomodel4(B)),k4_fomodel4(B,C)),k1_tarski(A))),k5_setfam_1(k1_fomodel4(B),k7_relset_1(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k13_lang1(k9_setfam_1(k1_fomodel4(B)),k4_fomodel4(B,D)),k1_tarski(A)))) ) ) ) ) ) )).
fof(l36_funct_9,axiom,( v1_funct_9(k26_sin_cos,k28_sin_cos) )).
fof(l36_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( r1_analmetr(A,H,I) & r1_geomtrap(A,B,E,B,C) & r1_geomtrap(A,B,E,B,F) & r1_geomtrap(A,B,E,B,D) & r1_geomtrap(A,B,E,B,G) ) => ( B = E | r1_geomtrap(A,C,F,D,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l36_gfacirc2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k7_gfacirc2(C,A,B)) = k1_xboole_0 & k2_xfamily(k7_gfacirc2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k7_gfacirc2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k7_gfacirc2(C,A,B))) = 3 & k2_xfamily(k7_gfacirc2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k7_gfacirc2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(l36_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ! [D] : ! [E] : ( r1_glib_000(B,C,D,E) => r1_glib_000(A,C,D,E) ) ) ) )).
fof(l36_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,1) & v7_ordinal1(k6_xcmplx_0(k1_newton(A,B),1)) & v1_int_2(k6_xcmplx_0(k1_newton(A,B),1)) & r1_xxreal_0(A,1) ) ) ) )).
fof(l36_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_group_1(A,B,k5_numbers) = k1_group_1(A) ) ) )).
fof(l36_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ( r1_nat_d(A,k1_newton(C,B)) => ( r1_xxreal_0(A,1) | r1_nat_d(C,A) ) ) ) ) ) )).
fof(l36_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_group_1(B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_algstr_0(A,D,E)) = k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(l36_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ( v15_algstr_0(g3_algstr_0(u1_struct_0(C),u2_algstr_0(C))) & m1_group_2(g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)),B) ) ) ) )).
fof(l36_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(k1_complfld),k9_bilinear(k1_complfld,A,A,B,k7_hahnban1(k1_complfld,A)),C,D) = k4_struct_0(k1_complfld) ) ) ) ) )).
fof(l36_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r2_aff_1(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = G <=> ( ( r2_tarski(F,D) & F = G ) | ( ~ r2_tarski(F,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(H,D) & r2_tarski(I,D) & r2_analoaf(A,H,B,I,F) & r2_analoaf(A,H,C,I,G) & r2_aff_1(A,F,G,D) ) ) ) ) ) ) ) ) => ( r2_tarski(B,D) | r1_homothet(A,E,D) ) ) ) ) ) ) ) )).
fof(l36_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C != k5_numbers => ( k1_funct_1(k1_funct_4(k9_polynom3(A),k5_funct_4(u1_struct_0(A),k5_numbers,C,k4_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C)),k1_group_1(A))),k5_numbers) = k4_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C)) & k1_funct_1(k1_funct_4(k9_polynom3(A),k5_funct_4(u1_struct_0(A),k5_numbers,C,k4_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C)),k1_group_1(A))),C) = k1_group_1(A) ) ) ) ) ) )).
fof(l36_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(B,A) ) ) )).
fof(l36_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_partfun3(B) & v1_int_6(B) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( ( r1_xxreal_0(k5_numbers,C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => r2_int_1(C,k1_funct_1(A,E),k1_funct_1(B,E)) ) ) & r1_xxreal_0(k5_numbers,D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => r2_int_1(D,k1_funct_1(A,E),k1_funct_1(B,E)) ) ) ) => ( r1_xxreal_0(k19_rvsum_1(B),C) | r1_xxreal_0(k19_rvsum_1(B),D) | C = D ) ) ) ) ) ) )).
fof(l36_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(F)))) ) => ( ( r1_xxreal_0(A,B) & r1_integr15(F,k3_integra5(A,B),G) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(F,k1_numbers,G)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(F),G,k3_integra5(A,B)),F) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D))) => r1_xxreal_0(k12_euclid(k7_partfun1(k1_euclid(F),G,H)),E) ) ) ) => r1_xxreal_0(k12_euclid(k12_integr15(C,D,F,G)),k3_xcmplx_0(E,k9_complex1(k6_xcmplx_0(D,C)))) ) ) ) ) ) ) ) ) )).
fof(l36_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k6_integr18(E,F,A,D) = k3_rlvect_1(E,k6_integr18(E,F,A,C),k6_integr18(E,F,C,D)) ) ) ) ) ) ) ) )).
fof(l36_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k4_integra5(C,D,k26_valued_1(k1_numbers,k1_numbers,F,E)) = k3_xcmplx_0(E,k4_integra5(C,D,F)) ) ) ) ) ) ) ) )).
fof(l36_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( r2_tarski(C,B) => ( C = k7_interva1(A,B) <=> ! [D] : ( r2_tarski(D,B) => r1_tarski(C,D) ) ) ) ) )).
fof(l36_jordan22,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = k3_pcomps_1(k14_euclid(2)) )).
fof(l36_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,3,2,1) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_finseq_4(k4_ordinal1,3,2,1) != k3_finseq_4(k4_ordinal1,3,1,2) )).
fof(l36_matrixc1,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => k9_matrix_5(k10_funcop_1(k2_numbers,k2_numbers,k5_binop_2,A,k6_partfun1(k2_numbers)),B) = k3_xcmplx_0(A,B) ) ) )).
fof(l36_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_vectsp_4(F,A,C) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ( r1_funct_2(u1_struct_0(E),u1_struct_0(F),u1_struct_0(E),u1_struct_0(C),G,k8_matrlin2(A,B,C,E,D)) => ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & v13_vectsp_1(G,E,F) & v1_mod_2(G,A,E,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) ) ) ) ) ) ) ) ) )).
fof(l36_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k1_xboole_0 & B != k1_xboole_0 & C != k1_xboole_0 & ? [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) & ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,C) => D != k3_xtuple_0(E,F,G) ) ) ) ) ) )).
fof(l36_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ( r1_tarski(A,B) => r1_tarski(k7_member_1(A),k7_member_1(B)) ) ) ) )).
fof(l36_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ( v1_metrizts(A) <=> v7_topgen_1(A) ) ) )).
fof(l36_mod_2,axiom,( ? [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) & A = 2 ) )).
fof(l36_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v2_modelc_1(A) => ( ~ v3_modelc_1(A) & ~ v4_modelc_1(A) & ~ v5_modelc_1(A) & ~ v6_modelc_1(A) & ~ v7_modelc_1(A) ) ) ) )).
fof(l36_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v3_modelc_2(A) => ( ~ v2_modelc_2(A) & ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v6_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) ) ) )).
fof(l36_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( ( v2_msualg_4(D,A,B) & v3_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k13_msualg_4(A,B,C)),u3_msualg_1(A,k13_msualg_4(A,B,D))) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,C)),F)) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,B),F)) => ( G = k3_msualg_4(A,B,C,F,H) => k3_funct_2(k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,C)),F),k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,D)),F),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k13_msualg_4(A,B,C)),u3_msualg_1(A,k13_msualg_4(A,B,D)),E,F),G) = k3_msualg_4(A,B,D,F,H) ) ) ) ) => v2_msualg_3(E,u1_struct_0(A),u3_msualg_1(A,k13_msualg_4(A,B,C)),u3_msualg_1(A,k13_msualg_4(A,B,D))) ) ) ) ) ) ) )).
fof(l36_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(841,A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( ~ r1_xxreal_0(B,1) & r1_xxreal_0(k2_nat_1(B,B),A) & v1_int_2(B) & B != 2 & B != 3 & B != 5 & B != 7 & B != 11 & B != 13 & B != 17 & B != 19 & B != 23 ) ) ) ) )).
fof(l36_nat_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => k2_int_5(A,B) = k1_nat_6(B,A) ) ) )).
fof(l36_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_normsp_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_normsp_3(A,B))) => ! [E] : ( v1_xreal_0(E) => ( ( k2_normsp_0(k3_normsp_3(A,B),C) = k5_numbers => C = k4_struct_0(k3_normsp_3(A,B)) ) & ( C = k4_struct_0(k3_normsp_3(A,B)) => k2_normsp_0(k3_normsp_3(A,B),C) = k5_numbers ) & r1_xxreal_0(k5_numbers,k2_normsp_0(k3_normsp_3(A,B),C)) & r1_xxreal_0(k2_normsp_0(k3_normsp_3(A,B),k1_algstr_0(k3_normsp_3(A,B),C,D)),k2_xcmplx_0(k2_normsp_0(k3_normsp_3(A,B),C),k2_normsp_0(k3_normsp_3(A,B),D))) & k2_normsp_0(k3_normsp_3(A,B),k1_rlvect_1(k3_normsp_3(A,B),C,E)) = k3_xcmplx_0(k9_complex1(E),k2_normsp_0(k3_normsp_3(A,B),C)) ) ) ) ) ) ) )).
fof(l36_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v10_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l36_oposet_1,axiom,( k6_partfun1(k1_tarski(k1_xboole_0)) = k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)) )).
fof(l36_ordeq_02,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(C,E) & r1_xxreal_0(E,D) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,A) ) => r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(A,k6_xcmplx_0(E,C)),k1_nat_1(F,1)),k2_newton(k1_nat_1(F,1))),B),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(A,k6_xcmplx_0(D,C)),k1_nat_1(F,1)),k2_newton(k1_nat_1(F,1))),B)) ) ) ) ) ) ) ) )).
fof(l36_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => r1_tarski(A,k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))) ) )).
fof(l36_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_euclid(A),k1_euclid(B)) & v1_pdiff_6(E,B,A) & v2_pdiff_6(E,B,A) & v3_pdiff_6(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ? [G] : ( m2_finseq_1(G,k1_euclid(B)) & k4_finseq_1(G) = k2_finseq_1(A) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(A)) => k1_funct_1(G,H) = k9_euclid(B,k11_pdiff_1(A,B,H,C,D),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(H,A),F)) ) ) & k3_funct_2(k1_euclid(A),k1_euclid(B),E,F) = k5_euclid_7(B,G) ) ) ) ) ) ) ) )).
fof(l36_polyeq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k1_newton(k5_numbers,A) = k5_numbers ) ) )).
fof(l36_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ( ( k3_polynom1(k15_pre_poly(A),B,C) = k1_tarski(E) & k3_polynom1(k15_pre_poly(A),B,D) = k1_tarski(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k11_polynom1(A,B,C,D),G) = k8_group_1(B,k2_polynom2(A,B,C,G),k2_polynom2(A,B,D,G)) ) ) ) ) ) ) ) ) )).
fof(l36_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k2_polynom8(A,k9_algstr_0(A,B),C) = k9_algstr_0(A,k2_polynom8(A,B,C)) ) ) ) ) )).
fof(l36_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_prelamb(A,B,D) & r2_prelamb(A,k12_finseq_1(u1_struct_0(A),C),E) ) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),k1_prelamb(A,D,C))),E) ) ) ) ) ) ) )).
fof(l36_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(A,B) => ( r1_xxreal_0(k1_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,B)),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),k2_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,B))) & r1_xxreal_0(k1_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,B)),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),k2_pscomp_1(k1_pre_topc(k15_euclid(2),B),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,B))) ) ) ) ) )).
fof(l36_realset2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c10__realset2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c10__realset2)) => ! [C] : ( m1_subset_1(C,u1_struct_0(c10__realset2)) => ( k6_algstr_0(c10__realset2,A,k1_algstr_0(c10__realset2,B,C)) = k1_algstr_0(c10__realset2,k6_algstr_0(c10__realset2,A,B),k6_algstr_0(c10__realset2,A,C)) & k6_algstr_0(c10__realset2,k1_algstr_0(c10__realset2,B,C),A) = k1_algstr_0(c10__realset2,k6_algstr_0(c10__realset2,B,A),k6_algstr_0(c10__realset2,C,A)) ) ) ) ) )).
fof(l36_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ( m1_rlsub_1(B,C) => u1_struct_0(k2_rlsub_2(A,C,k1_rlsub_2(A,B,D))) = u1_struct_0(k1_rlsub_2(A,k2_rlsub_2(A,B,C),k2_rlsub_2(A,C,D))) ) ) ) ) ) )).
fof(l36_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => u1_struct_0(k2_rmod_3(A,B,C,k1_rmod_3(A,B,C,D))) = u1_struct_0(C) ) ) ) ) )).
fof(l36_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => ( m1_rusub_1(B,C) => u1_struct_0(k2_rusub_2(A,C,k1_rusub_2(A,B,D))) = u1_struct_0(k1_rusub_2(A,k2_rusub_2(A,B,C),k2_rusub_2(A,C,D))) ) ) ) ) ) )).
fof(l36_scmbsort,axiom,( k4_scmfsa_2(k5_numbers) != k4_scmfsa_2(5) )).
fof(l36_scmfsa8a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ( r5_scmfsa7b(A,C,B) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C)),1))) = k4_card_1(A) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C)),1))) & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C)) & k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C)) = k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C)),1) & r5_scmfsa7b(k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2)),C,B) ) ) ) ) ) )).
fof(l36_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( ~ r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(4,1))),k5_numbers) => k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))),B,A),k4_scmfsa_2(k1_nat_1(1,1))) = k5_numbers ) & ( r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(4,1))),k5_numbers) => k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))),B,A),k4_scmfsa_2(k1_nat_1(1,1))) = k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1))),1) ) ) ) ) )).
fof(l36_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( v7_ordinal1(C) => ~ v2_extpro_1(k9_scmring2(A,C,B),k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(l36_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ~ ( ~ r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(1)),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(2)),k5_numbers) & ~ ( k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)))),B,A),k1_scmp_gcd(1)) = k3_int_2(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(2))) & k1_funct_1(k6_scmpds_4(k1_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)))),B,A),k1_scmp_gcd(2)) = k3_int_2(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(2))) & r1_scmpds_6(k1_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)))),B,A) & r2_scmpds_6(k1_scmpds_4(k3_scmpds_4(k4_scmpds_4(k5_scmpds_2(k2_scmp_gcd,k5_numbers),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k3_scpinvar(k2_scmp_gcd,3,k3_scmpds_4(k3_scmpds_4(k3_scmpds_6(k2_scmp_gcd,3,k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,1,2)),k9_compos_1(k1_scmpds_2,k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,2,1))),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,1)),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)))),B,A) ) ) ) ) )).
fof(l36_scpqsort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ! [H] : ( m2_finseq_1(H,k4_numbers) => ( ( k1_funct_1(C,k2_scmp_gcd) = k5_numbers & k1_funct_1(C,k1_scmp_gcd(4)) = k2_xcmplx_0(E,k1_funct_1(C,k1_scmp_gcd(5))) & E = k6_xcmplx_0(k1_funct_1(C,k1_scmp_gcd(3)),1) & k1_funct_1(C,k1_scmp_gcd(2)) = D & r1_xxreal_0(k1_nat_1(F,1),D) & r1_xxreal_0(D,E) & r1_xxreal_0(k1_nat_1(F,1),k1_funct_1(C,k1_scmp_gcd(3))) & r1_xxreal_0(k1_funct_1(C,k1_scmp_gcd(4)),k2_xcmplx_0(F,A)) & r1_scpisort(G,C,F) & r1_scpisort(H,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),F) & r1_xxreal_0(7,F) & k3_finseq_1(G) = A & k3_finseq_1(H) = A ) => ( r1_xxreal_0(k1_funct_1(C,k1_scmp_gcd(5)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(1)) = k1_funct_1(C,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(2)) = D & r1_xxreal_0(D,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(4)),k1_funct_1(C,k1_scmp_gcd(4))) & r2_classes1(G,H) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(k1_funct_1(C,k1_scmp_gcd(3)),I) & r1_xxreal_0(I,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(4))) ) => r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(I)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(D))) ) ) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k1_funct_1(C,k1_scmp_gcd(4))) => ( r1_xxreal_0(I,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(4))) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(D)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(I))) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(k1_nat_1(F,1),I) => ( ( r1_xxreal_0(k1_funct_1(C,k1_scmp_gcd(3)),I) & r1_xxreal_0(I,k1_funct_1(C,k1_scmp_gcd(4))) ) | k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),C,B),k1_scmp_gcd(I)) = k1_funct_1(C,k1_scmp_gcd(I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l36_series_1,axiom,( v1_xreal_0(1) )).
fof(l36_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k5_sin_cos2,k6_xcmplx_0(A,B)) = k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)),k6_xcmplx_0(1,k3_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)))) ) ) )).
fof(l36_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ r1_xxreal_0(k2_xcmplx_0(k1_square_1(A),1),k5_numbers) ) )).
fof(l36_sincos10,axiom,( r1_tarski(k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)),k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)))) )).
fof(l36_srings_2,axiom,( k3_xboole_0(k1_enumset1(1,2,3),k1_tarski(2)) = k1_tarski(2) )).
fof(l36_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [D] : ( m2_subset_1(D,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => k1_binop_1(u2_lattices(k5_substlat(A,B)),k1_binop_1(u1_lattices(k5_substlat(A,B)),C,D),D) = D ) ) )).
fof(l36_taylor_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,D) = k2_subset_1(k1_numbers) & ! [E] : ( v1_xreal_0(E) => k1_funct_1(D,E) = k7_xcmplx_0(k3_xcmplx_0(B,k1_newton(k6_xcmplx_0(C,E),k1_nat_1(A,1))),k2_newton(k1_nat_1(A,1))) ) & ! [E] : ( v1_xreal_0(E) => ( r1_fdiff_1(D,E) & k1_fdiff_1(D,E) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(B,k1_newton(k6_xcmplx_0(C,E),A)),k2_newton(A))) ) ) ) ) ) ) )).
fof(l36_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v2_struct_0(A) => v3_tops_2(B,A,A) ) ) ) )).
fof(l36_trees_2,axiom,( ! [A] : ~ ( v1_finset_1(A) & ! [B] : ( v7_ordinal1(B) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,A) & ~ r1_xxreal_0(C,B) ) ) ) )).
fof(l36_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( D = E => k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),E)) = k4_tex_4(A,D) ) ) ) ) ) ) ) )).
fof(l36_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ? [G] : ( m2_funct_2(G,k3_qc_lang1(A),B,k2_valuat_1(A,B)) & ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ( H != C => k3_funct_2(k3_qc_lang1(A),B,G,H) = k3_funct_2(k3_qc_lang1(A),B,E,H) ) ) & k3_funct_2(k3_qc_lang1(A),B,G,C) = k3_funct_2(k3_qc_lang1(A),B,F,D) ) ) ) ) ) ) ) )).
fof(l36_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( m1_valued_0(C,B) => r1_tarski(k10_xtuple_0(C),k10_xtuple_0(B)) ) ) ) )).
fof(l36_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_yellow_8(a_2_7_waybel17(A,B),A,B) & v1_tops_2(a_2_7_waybel17(A,B),A) & m1_subset_1(a_2_7_waybel17(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(l36_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( v3_waybel_3(k1_yellow_1(u1_pre_topc(A))) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k1_yellow_1(u1_pre_topc(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_pre_topc(D,A) & m1_connsp_2(D,A,C) ) => ? [E] : ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(D,E) & m1_connsp_2(k1_setfam_1(E),A,C) ) ) ) ) ) ) )).
fof(l36_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_tarski(A,k4_finseq_1(B)) => k3_xcmplx_0(k21_rvsum_1(k3_wsierp_1(k1_numbers,A,B)),k1_funct_1(B,A)) = k21_rvsum_1(B) ) ) ) )).
fof(l36_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k4_xboole_0(A,k3_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)) )).
fof(l36_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k2_xcmplx_0(A,B),k2_xcmplx_0(C,D)) => r1_xxreal_0(k6_xcmplx_0(A,C),k6_xcmplx_0(D,B)) ) ) ) ) ) )).
fof(l36_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ~ ( r2_tarski(B,k5_yellow_6(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r3_waybel_9(A,B,C) ) ) ) => v1_compts_1(A) ) ) )).
fof(l36_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( v8_zf_fund1(B,A) => ( r2_tarski(k2_ordinal4(A),B) & r2_tarski(k3_ordinal4(A),B) ) ) ) ) )).
fof(l37_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_algstr_1)) => ~ ( A != k4_struct_0(k2_algstr_1) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_algstr_1)) => k6_algstr_0(k2_algstr_1,C,A) != B ) ) ) ) )).
fof(l37_anproj_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k2_xcmplx_0(E,G) = k2_xcmplx_0(F,H) & k3_xcmplx_0(E,A) = k3_xcmplx_0(F,C) & k3_xcmplx_0(G,D) = k3_xcmplx_0(H,B) ) => ( A = C | B = k5_numbers | E = k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C,D),k3_xcmplx_0(C,B)),k5_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,B)))),G) ) ) ) ) ) ) ) ) ) ) )).
fof(l37_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(D,A) & k1_bhsp_2(A,D) = C ) => ( v2_comseq_2(k2_bhsp_2(A,k5_bhsp_1(A,D,B))) & k1_seq_2(k2_bhsp_2(A,k5_bhsp_1(A,D,B))) = k3_bhsp_1(A,k3_rlvect_1(A,C,B)) ) ) ) ) ) ) )).
fof(l37_binop_2,axiom,( r2_hidden(1,k4_ordinal1) )).
fof(l37_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(D,A) & k1_clvect_2(A,D) = C ) => ( v2_comseq_2(k2_clvect_2(A,k5_bhsp_1(A,D,B))) & k1_seq_2(k2_clvect_2(A,k5_bhsp_1(A,D,B))) = k11_csspace(A,k3_rlvect_1(A,C,B)) ) ) ) ) ) ) )).
fof(l37_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlvect_2(C,A) => ( ( v2_convex1(C,A) & k3_rlvect_2(A,C) = k6_domain_1(u1_struct_0(A),B) ) => ( k1_funct_1(C,B) = 1 & k6_rlvect_2(A,C) = k1_rlvect_1(A,B,k1_funct_1(C,B)) ) ) ) ) ) )).
fof(l37_csspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_clvect_1(o_0_5_csspace))) => ! [C] : ( v1_xcmplx_0(C) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),k1_clvect_1(k3_clvect_1(o_0_5_csspace),A,C),B)) = k3_xcmplx_0(C,k3_funct_2(k2_zfmisc_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace))),k2_numbers,c2__csspace,k1_domain_1(u1_struct_0(k3_clvect_1(o_0_5_csspace)),u1_struct_0(k3_clvect_1(o_0_5_csspace)),A,B))) ) ) ) )).
fof(l37_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => ( v1_dblseq_1(A) => ( v1_dblseq_1(B) & k1_dblseq_1(B) = k1_dblseq_1(A) ) ) ) ) )).
fof(l37_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_diraf(A,B,C,D) => ( r3_diraf(A,B,D,C) & r3_diraf(A,C,B,D) ) ) ) ) ) ) )).
fof(l37_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ( r2_tarski(B,k5_dist_1(A,k19_finseq_1(A))) => v1_dist_1(B,A) ) ) ) )).
fof(l37_ec_pf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) => D = k4_domain_1(A,B,C,k1_mcart_1(A,B,C,D),k2_mcart_1(A,B,C,D),k3_mcart_1(A,B,C,D)) ) ) ) ) )).
fof(l37_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ~ ( r3_euclidlp(A,B,C) & B = k5_euclid(A) ) ) ) ) )).
fof(l37_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(B,C)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(B,D)) => r1_tarski(k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k23_fomodel2(B,C,A,E)),k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k23_fomodel2(B,D,A,F))) ) ) ) ) ) ) )).
fof(l37_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => r2_relset_1(k4_finseq_2(C,B),k4_finseq_2(C,A),k8_fomodel3(B,A,k3_relset_1(A,B,D),C),k3_relset_1(k4_finseq_2(C,A),k4_finseq_2(C,B),k8_fomodel3(A,B,D,C))) ) ) ) ) )).
fof(l37_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ( ( r1_tarski(D,E) & v4_fomodel4(B,C,D,A) ) => ( ( ~ v7_fomodel4(E,C) & ~ v7_fomodel4(D,C) ) | v4_fomodel4(B,C,E,A) ) ) ) ) ) )).
fof(l37_frechet,axiom,( r1_tarski(k1_tarski(k1_numbers),u1_struct_0(k3_frechet)) )).
fof(l37_funct_9,axiom,( v1_funct_9(k27_sin_cos,k28_sin_cos) )).
fof(l37_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v1_algstr_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( m2_finseq_2(C,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => ! [D] : ( m2_finseq_2(D,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => ! [E] : ( m2_finseq_2(E,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => ( k4_fvsum_1(A,B,D,C) = k4_fvsum_1(A,B,E,C) => D = E ) ) ) ) ) ) )).
fof(l37_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => k7_gfacirc2(A,B,C) != k4_tarski(D,E) ) ) ) ) )).
fof(l37_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => k5_group_1(B,k1_group_1(B),A) = k1_group_1(B) ) ) )).
fof(l37_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v2_group_9(D,A) & m1_group_9(D,A,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v7_group_9(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ? [F] : ( v2_group_9(F,A) & m1_group_9(F,A,C) & u1_struct_0(F) = k7_relset_1(u1_struct_0(B),u1_struct_0(C),E,u1_struct_0(D)) ) ) ) ) ) )).
fof(l37_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => v3_hermitan(k9_bilinear(k1_complfld,A,A,B,k7_hahnban1(k1_complfld,A)),A) ) ) )).
fof(l37_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v7_ordinal1(D) => ~ ( D != k5_numbers & D != C & k1_funct_1(k1_funct_4(k9_polynom3(A),k5_funct_4(u1_struct_0(A),k5_numbers,C,k4_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C)),k1_group_1(A))),D) != k4_struct_0(A) ) ) ) ) ) )).
fof(l37_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(F)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integr15(F,k3_integra5(A,B),G) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(F,k1_numbers,G)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(F),G,k3_integra5(A,B)),F) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k3_integra5(C,D)) => r1_xxreal_0(k12_euclid(k7_partfun1(k1_euclid(F),G,H)),E) ) ) ) => r1_xxreal_0(k12_euclid(k12_integr15(C,D,F,G)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) ) ) ) ) ) ) ) ) )).
fof(l37_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( r2_tarski(C,B) => ( C = k8_interva1(A,B) <=> ! [D] : ( r2_tarski(D,B) => r1_tarski(D,C) ) ) ) ) )).
fof(l37_jgraph_3,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = k3_pcomps_1(k14_euclid(2)) )).
fof(l37_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_23_jgraph_4(A) => v4_pre_topc(B,k15_euclid(2)) ) ) ) )).
fof(l37_jordan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ( r1_borsuk_6(A,B,C) => r1_tarski(k2_relset_1(u1_struct_0(A),D),k2_relset_1(u1_struct_0(A),k2_borsuk_2(A,B,C,D))) ) ) ) ) ) )).
fof(l37_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ( ( k10_xtuple_0(B) = k10_xtuple_0(C) & v2_funct_1(B) ) => v2_funct_1(C) ) ) ) ) )).
fof(l37_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,3,2,1) != k3_finseq_4(k4_ordinal1,2,1,3) & k3_finseq_4(k4_ordinal1,1,3,2) != k3_finseq_4(k4_ordinal1,2,1,3) )).
fof(l37_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xxreal_3(1,D)),k1_rlvect_1(A,C,D)) = k3_rlvect_1(A,B,k1_rlvect_1(A,k5_algstr_0(A,C,B),D)) ) ) ) ) )).
fof(l37_metrizts,axiom,( v5_waybel23(g1_pre_topc(u1_struct_0(k15_euclid(1)),u1_pre_topc(k15_euclid(1)))) )).
fof(l37_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v3_modelc_1(A) => ( ~ v2_modelc_1(A) & ~ v4_modelc_1(A) & ~ v5_modelc_1(A) & ~ v6_modelc_1(A) & ~ v7_modelc_1(A) ) ) ) )).
fof(l37_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_modelc_2(A) => ( ~ v2_modelc_2(A) & ~ v3_modelc_2(A) & ~ v5_modelc_2(A) & ~ v6_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) ) ) )).
fof(l37_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v13_monoid_0(A) <=> ( v11_monoid_0(A) & v12_monoid_0(A) ) ) ) )).
fof(l37_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & m1_msualg_2(D,A,C) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,D)) => ( ( r8_pboole(u1_struct_0(A),E,F) & r1_msualg_3(A,B,D,F) ) => r1_msualg_3(A,B,C,E) ) ) ) ) ) ) ) )).
fof(l37_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v11_o_ring_1(B,A) ) ) ) )).
fof(l37_ordeq_02,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( ~ r1_xxreal_0(1,k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(B,A)),k1_nat_1(D,1)),k2_newton(k1_nat_1(D,1)))) & ~ r1_xxreal_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(B,A)),k1_nat_1(D,1)),k2_newton(k1_nat_1(D,1))),k5_numbers) ) ) ) ) ) ) )).
fof(l37_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( ( v1_relat_2(A) & r1_tarski(B,k1_relat_1(A)) ) => k1_relat_1(k2_wellord1(A,B)) = B ) ) )).
fof(l37_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) & k3_polynom1(k15_pre_poly(A),B,C) = k1_tarski(D) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k11_polynom1(A,B,D,C),E) = k8_group_1(B,k2_polynom2(A,B,D,E),k2_polynom2(A,B,C,E)) ) ) ) ) ) ) )).
fof(l37_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => v5_orders_3(k8_poset_1(A,B,C),A,B) ) ) ) )).
fof(l37_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ~ ( r1_poset_2(A,C,F) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,B,G,H) = k8_poset_2(A,B,C,D,E,H,k3_funct_2(A,B,G,k3_funct_2(A,A,F,H))) ) ) ) ) ) ) ) ) ) )).
fof(l37_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),C),k12_finseq_1(u1_struct_0(A),D)),B),E) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),k3_prelamb(A,C,D)),B),E) ) ) ) ) ) ) )).
fof(l37_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ~ ( v5_ratfunc1(B,A) & ! [C] : ( m1_ratfunc1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( B = k3_ratfunc1(A,k12_polynom3(A,D,k4_ratfunc1(A,C)),k12_polynom3(A,D,k5_ratfunc1(A,C))) & v5_ratfunc1(C,A) & ? [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) & D = k3_group_4(k13_polynom3(A),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),G) & k1_funct_1(E,F) = k3_hurwitz(A,G,1) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l37_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k3_roughs_1(A,B) = k1_tops_1(A,B) ) ) )).
fof(l37_scmbsort,axiom,( k4_scmfsa_2(k5_numbers) != k4_scmfsa_2(6) )).
fof(l37_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ~ ( r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(1,1))),k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(1,1)))) & ~ r1_xxreal_0(k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(1,1))),k5_numbers) ) ) ) )).
fof(l37_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ~ v2_extpro_1(k7_scmring2(A,C,B),k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(l37_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(4)) = k2_xcmplx_0(D,k1_funct_1(B,k1_scmp_gcd(5))) & D = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(3)),1) & k1_funct_1(B,k1_scmp_gcd(2)) = C & r1_xxreal_0(k1_nat_1(E,1),C) & r1_xxreal_0(C,D) & r1_xxreal_0(7,E) ) => ( r1_scmpds_6(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),B,A) & r2_scmpds_6(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),B,A) ) ) ) ) ) ) ) )).
fof(l37_series_1,axiom,( r2_hidden(1,k1_numbers) )).
fof(l37_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k3_xcmplx_0(k11_newton(k1_nat_1(A,2),2),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k2_nat_1(3,k11_newton(k1_nat_1(A,1),4)),k2_nat_1(6,k11_newton(k1_nat_1(A,1),3))),k11_newton(k1_nat_1(A,1),2)),k2_nat_1(4,k1_nat_1(A,1))),2)) = k2_xcmplx_0(k3_xcmplx_0(k1_newton(A,2),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(A,4)),k3_xcmplx_0(6,k1_newton(A,3))),k1_newton(A,2)),k3_xcmplx_0(4,A)),2)),k2_nat_1(k11_newton(k1_nat_1(A,1),5),24)) ) )).
fof(l37_sincos10,axiom,( k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers) = k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(l37_srings_2,axiom,( k3_xboole_0(k1_enumset1(1,2,3),k1_tarski(3)) = k1_tarski(3) )).
fof(l37_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => k1_lattices(k5_substlat(A,B),k2_lattices(k5_substlat(A,B),C,D),D) = D ) ) )).
fof(l37_taylor_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ! [D] : ( v1_xreal_0(D) => ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & k1_relset_1(k1_numbers,E) = C & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => k1_funct_1(E,F) = k6_xcmplx_0(k1_funct_1(B,D),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(B,C,F,D)),A)) ) ) ) ) ) ) ) )).
fof(l37_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r1_borsuk_3(A,B) & v3_topdim_1(A) ) => ( v3_topdim_1(B) & r1_xxreal_0(k4_topdim_1(B),k4_topdim_1(A)) ) ) ) ) )).
fof(l37_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( E = D => k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,E) = k3_tex_4(A,D) ) ) ) ) ) ) ) )).
fof(l37_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(k18_twoscomp,k11_finseq_1(A,B,C)) = k9_margrel1(k9_margrel1(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C)) ) ) ) )).
fof(l37_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_algstr_0(A,k1_algstr_0(A,C,k4_algstr_0(A,B))) = k5_algstr_0(A,B,C) ) ) ) )).
fof(l37_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v8_vectsp_1(k2_vectsp_2(A),A) & v9_vectsp_1(k2_vectsp_2(A),A) & v10_vectsp_1(k2_vectsp_2(A),A) & v11_vectsp_1(k2_vectsp_2(A),A) ) ) )).
fof(l37_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => u1_struct_0(k2_vectsp_5(A,B,C,k1_vectsp_5(A,B,C,D))) = u1_struct_0(C) ) ) ) ) )).
fof(l37_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ~ ( r1_xxreal_0(B,k1_vectsp_9(A,C)) & ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,C) ) => k1_vectsp_9(A,D) != B ) ) ) ) ) )).
fof(l37_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( ? [B] : ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))) & v7_waybel_1(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))))) & v22_waybel_0(C,k2_yellow_1(B),k2_yellow_1(B)) & r5_waybel_1(A,k1_yellow_2(k2_yellow_1(B),k2_yellow_1(B),C)) ) => v2_waybel_8(A) ) ) )).
fof(l37_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ( v1_cantor_1(a_1_0_waybel17(A),A) & v1_tops_2(a_1_0_waybel17(A),A) & m1_subset_1(a_1_0_waybel17(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(l37_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = a_4_0_waybel_5(A,B,C,D) => k5_yellow_2(A,k4_waybel_5(A,k6_waybel_5(B,C,u1_struct_0(A),D))) = k1_yellow_0(A,E) ) ) ) ) ) ) ) )).
fof(l37_zfmisc_1,axiom,( ! [A] : ! [B] : ~ ( B != k1_tarski(A) & B != k1_xboole_0 & ! [C] : ~ ( r2_hidden(C,B) & C != A ) ) )).
fof(l38_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_algstr_1)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_algstr_1)) => ( k6_algstr_0(k2_algstr_1,A,B) = k6_algstr_0(k2_algstr_1,A,C) => ( A = k4_struct_0(k2_algstr_1) | B = C ) ) ) ) ) )).
fof(l38_anproj_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( B != k5_numbers & A != C & D != k5_numbers & k3_xcmplx_0(D,k5_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,B)))) = k5_numbers ) ) ) ) ) )).
fof(l38_bcialg_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) ) => k6_bcialg_4(B,k4_struct_0(B),k1_nat_1(A,1)) = k4_struct_0(B) ) ) )).
fof(l38_binop_2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l38_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_cfuncdom(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_cfuncdom(A))) => ( C = k5_cfuncdom(A) => ( k6_algstr_0(k8_cfuncdom(A),C,B) = B & k6_algstr_0(k8_cfuncdom(A),B,C) = B ) ) ) ) ) )).
fof(l38_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m2_collsp(B,A) => ! [C] : ( r2_tarski(C,B) => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(l38_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rlvect_2(D,A) => ( ( v2_convex1(D,A) & k3_rlvect_2(A,D) = k7_domain_1(u1_struct_0(A),B,C) ) => ( B = C | ( k2_xcmplx_0(k1_funct_1(D,B),k1_funct_1(D,C)) = 1 & r1_xxreal_0(k5_numbers,k1_funct_1(D,B)) & r1_xxreal_0(k5_numbers,k1_funct_1(D,C)) & k6_rlvect_2(A,D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k1_funct_1(D,B)),k1_rlvect_1(A,C,k1_funct_1(D,C))) ) ) ) ) ) ) ) )).
fof(l38_csspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace))) => ! [D] : ( v1_xcmplx_0(D) => ( ( k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,A) = k5_complex1 => A = k4_struct_0(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace)) ) & ( A = k4_struct_0(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace)) => k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,A) = k5_complex1 ) & r1_xxreal_0(k5_numbers,k3_complex1(k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,A))) & k5_numbers = k4_complex1(k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,A)) & k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,B) = k8_complex1(k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),B,A)) & k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),k1_algstr_0(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,B),C) = k2_xcmplx_0(k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,C),k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),B,C)) & k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),k1_clvect_1(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,D),B) = k3_xcmplx_0(D,k10_csspace(g1_csspace(u1_struct_0(k3_clvect_1(o_0_5_csspace)),k4_struct_0(k3_clvect_1(o_0_5_csspace)),u1_algstr_0(k3_clvect_1(o_0_5_csspace)),u1_clvect_1(k3_clvect_1(o_0_5_csspace)),c2__csspace),A,B)) ) ) ) ) ) )).
fof(l38_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v2_dblseq_1(A) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => v2_dblseq_1(B) ) ) ) )).
fof(l38_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ( v1_dist_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( v1_dist_1(C,A) => r2_tarski(C,k5_dist_1(A,B)) ) ) ) ) ) )).
fof(l38_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) => ( k4_euclid_3(A,B,C) = k6_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k4_euclid_3(C,B,A)) & k4_euclid_3(C,B,A) = k6_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k4_euclid_3(A,B,C)) ) ) ) ) ) )).
fof(l38_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & ? [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C)))) & ? [E] : ( m1_subset_1(E,k5_margrel1) & ? [F] : ( m1_subset_1(F,k5_margrel1) & ? [G] : ( m1_subset_1(G,k5_margrel1) & E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) & ~ ( k11_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k17_facirc_1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(E,F),k9_margrel1(F,G)),k9_margrel1(G,E)) & k1_funct_1(k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k3_facirc_1)) = k9_margrel1(E,F) & k1_funct_1(k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k5_facirc_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) = k9_margrel1(G,E) ) ) ) ) ) ) )).
fof(l38_fdiff_1,axiom,( v2_rcomp_1(k1_subset_1(k1_numbers)) )).
fof(l38_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => k1_funct_1(k7_fomodel0(A),B) = k1_funct_1(B,1) ) ) )).
fof(l38_fomodel2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(B,C)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(B,D)) => k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k23_fomodel2(B,C,A,E)) = k1_relset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k23_fomodel2(B,D,A,F)) ) ) ) ) ) ) )).
fof(l38_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & v1_fomodel3(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_funct_2(A,k8_eqrel_1(B,D),k1_partfun1(A,B,B,k8_eqrel_1(B,D),E,k17_fomodel3(B,D)),k1_partfun1(A,k8_eqrel_1(A,C),k8_eqrel_1(A,C),k8_eqrel_1(B,D),k17_fomodel3(A,C),k16_fomodel3(A,B,C,D,E))) ) ) ) ) ) )).
fof(l38_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ( ( r1_tarski(D,E) & v9_fomodel4(B,C,D,A) ) => ( ( ~ v7_fomodel4(D,C) & ~ v7_fomodel4(E,C) ) | v9_fomodel4(B,C,E,A) ) ) ) ) ) )).
fof(l38_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k26_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(l38_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => r2_tarski(k1_funct_1(B,C),k6_glib_000(A)) ) ) ) ) )).
fof(l38_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(F)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integr15(F,k3_integra5(A,B),G) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(F,k1_numbers,G)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(F),G,k3_integra5(A,B)),F) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k3_integra5(C,D)) => r1_xxreal_0(k12_euclid(k7_partfun1(k1_euclid(F),G,H)),E) ) ) ) => r1_xxreal_0(k12_euclid(k12_integr15(D,C,F,G)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) ) ) ) ) ) ) ) ) )).
fof(l38_isomichi,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => k4_subset_1(k1_numbers,k1_rcomp_1(A,B),k1_seq_4(B)) = k1_rcomp_1(A,B) ) ) ) )).
fof(l38_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_26_jgraph_4(A) => v4_pre_topc(B,k15_euclid(2)) ) ) ) )).
fof(l38_knaster,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ~ ( ~ r2_xboole_0(A,B) & A != B & ~ r2_xboole_0(B,A) ) ) ) )).
fof(l38_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_ideal_1(k9_lpspace1(A,B,C),k7_lpspace1(A)) & v1_lpspace1(k9_lpspace1(A,B,C),k7_lpspace1(A)) ) ) ) ) )).
fof(l38_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_finseq_1(B) = k3_finseq_1(k9_fvsum_1(A,B,C)) ) ) ) )).
fof(l38_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,1,3,2) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_finseq_4(k4_ordinal1,1,3,2) != k3_finseq_4(k4_ordinal1,3,1,2) )).
fof(l38_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( v3_mazurulm(C,A,B) & r1_xxreal_0(G,k1_newton(2,F)) & ! [H] : ( v7_ordinal1(H) => ~ ( H = k3_xxreal_3(k1_newton(2,F),G) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,D,k1_rlvect_1(A,k5_algstr_0(A,E,D),k6_xxreal_3(G,k1_newton(2,k2_xcmplx_0(F,1)))))) = k1_rlvect_1(B,k3_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,D,H),k1_rlvect_1(A,E,G)),k6_xxreal_3(1,k1_newton(2,F))))),k6_xxreal_3(1,2)) ) ) ) ) ) ) ) ) ) ) )).
fof(l38_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_midsp_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [E] : ( ( v4_midsp_2(E,B) & l1_midsp_2(E,B) ) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(B,E)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,E)))) => ( k8_midsp_3(A,B,E,C,D) = F => k10_midsp_3(A,B,E,F) = k9_midsp_2(B,E,C,k4_midsp_3(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(l38_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_modelc_1(A) => ( ~ v2_modelc_1(A) & ~ v3_modelc_1(A) & ~ v5_modelc_1(A) & ~ v6_modelc_1(A) & ~ v7_modelc_1(A) ) ) ) )).
fof(l38_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v5_modelc_2(A) => ( ~ v2_modelc_2(A) & ~ v3_modelc_2(A) & ~ v4_modelc_2(A) & ~ v6_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) ) ) )).
fof(l38_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ( r2_tarski(A,u2_modelc_3(B,C)) => ( ( ~ v2_modelc_2(A) & ~ v3_modelc_2(A) ) | k14_modelc_3(B,C) = k14_modelc_3(B,k5_modelc_3(B,C,A)) ) ) ) ) ) )).
fof(l38_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v16_monoid_0(A) <=> ( v14_monoid_0(A) & v15_monoid_0(A) ) ) ) )).
fof(l38_nat_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(A)) ) => ! [F] : ( D = k1_tarski(F) => k2_uproots(k8_mcart_1(A,A,D,E),k1_nat_5(k2_zfmisc_1(A,A),k1_partfun1(k2_zfmisc_1(A,A),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k16_funct_3(A,A,k4_ordinal1,k4_ordinal1,B,C),k24_binop_2),k8_mcart_1(A,A,D,E))) = k3_xcmplx_0(k1_funct_1(B,F),k2_uproots(E,k1_nat_5(A,C,E))) ) ) ) ) ) )).
fof(l38_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v6_o_ring_1(B,A) => v10_o_ring_1(B,A) ) ) ) )).
fof(l38_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r3_orders_2(A,C,k1_yellow_0(A,B)) ) ) ) ) )).
fof(l38_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),C)),k12_finseq_1(u1_struct_0(A),D)),E) => r2_prelamb(A,k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),k3_prelamb(A,C,D))),E) ) ) ) ) ) ) )).
fof(l38_prepower,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(1,B) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k1_funct_1(A,C) = k2_prepower(C,B) ) ) ) => ( v2_comseq_2(A) & k1_seq_2(A) = 1 ) ) ) ) )).
fof(l38_quatern2,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l38_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(C)) => k4_radix_1(D,A,k2_xcmplx_0(C,1),k10_radix_1(A,k2_xcmplx_0(C,1),B)) = k4_radix_1(D,A,C,k10_radix_1(A,C,k4_nat_d(B,k1_newton(k1_radix_1(A),C)))) ) ) ) ) ) )).
fof(l38_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v6_supinf_2(k56_valued_1(A,k1_numbers,B)) ) ) )).
fof(l38_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => r1_tarski(u1_struct_0(k1_rlsub_2(A,C,k2_rlsub_2(A,B,D))),u1_struct_0(k2_rlsub_2(A,k1_rlsub_2(A,B,C),k1_rlsub_2(A,C,D)))) ) ) ) ) )).
fof(l38_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => r1_tarski(u1_struct_0(k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E))),u1_struct_0(k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E)))) ) ) ) ) ) )).
fof(l38_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => k5_rmod_4(A,B,k3_rmod_4(A,B)) = k4_struct_0(B) ) ) )).
fof(l38_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => r1_tarski(u1_struct_0(k1_rusub_2(A,C,k2_rusub_2(A,B,D))),u1_struct_0(k2_rusub_2(A,k1_rusub_2(A,B,C),k1_rusub_2(A,C,D)))) ) ) ) ) )).
fof(l38_scmbsort,axiom,( k4_scmfsa_2(1) != k4_scmfsa_2(2) )).
fof(l38_scmisort,axiom,( ~ v1_xboole_0(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))) & v1_relat_1(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))) & v4_relat_1(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),k4_ordinal1) & v5_relat_1(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))) & v1_finset_1(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))) & v1_afinsq_1(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))) & v1_scm_halt(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))) & v1_scmfsa7b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))) )).
fof(l38_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_scmpds_4(D) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(E,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_tarski(k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D)),A) & B = k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,E))) = k4_card_1(C) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,E))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,E)))) & r1_tarski(k61_valued_1(k10_compos_1(k1_scmpds_2,D),k4_card_1(C)),A) & k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,E) = k2_xcmplx_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,E),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_extpro_1(k5_card_1(2),k1_scmpds_2,B,E)))) ) ) ) ) ) ) ) )).
fof(l38_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ( v2_extpro_1(B,k5_card_1(2),k1_scmring2(A)) => B = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) ) ) ) )).
fof(l38_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers => ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(2)) = k1_funct_1(B,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(3)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(2)),1) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(4)) = k1_funct_1(B,k1_scmp_gcd(4)) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(5)) = k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),k1_funct_1(B,k1_scmp_gcd(2))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(8,C) => k1_funct_1(k6_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,4),k13_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,2)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,3,2)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(C)) = k1_funct_1(B,k1_scmp_gcd(C)) ) ) ) ) ) ) )).
fof(l38_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k2_xcmplx_0(k11_newton(2,k1_nat_1(A,2)),k1_newton(k4_xcmplx_0(1),k1_nat_1(A,2))),k5_numbers) ) )).
fof(l38_sincos10,axiom,( r1_tarski(k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)),k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)))) )).
fof(l38_srings_2,axiom,( k3_xboole_0(k1_enumset1(1,2,3),k1_tarski(4)) = k1_xboole_0 )).
fof(l38_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => k2_lattices(k5_substlat(A,B),C,D) = k2_lattices(k5_substlat(A,B),D,C) ) ) )).
fof(l38_topalg_5,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k8_toprealb(2))))) & m1_setfam_1(A,u1_struct_0(k8_toprealb(2))) & v1_tops_2(A,k8_toprealb(2)) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k8_toprealb(2)))) => ~ ( r2_tarski(B,A) & ! [C] : ( ( v4_taxonom2(C) & v1_tops_2(C,k2_topalg_2) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topalg_2)))) ) => ~ ( k5_setfam_1(u1_struct_0(k2_topalg_2),C) = k8_relset_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_topalg_2))) => ( r2_tarski(D,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(k2_topalg_2,D)),u1_struct_0(k1_pre_topc(k8_toprealb(2),B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,D)),u1_struct_0(k1_pre_topc(k8_toprealb(2),B))))) ) => ( E = k2_partfun1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,D) => v3_tops_2(E,k1_pre_topc(k2_topalg_2,D),k1_pre_topc(k8_toprealb(2),B)) ) ) ) ) ) ) ) ) ) )).
fof(l38_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r1_borsuk_3(A,B) => ( ( v3_topdim_1(A) => v3_topdim_1(B) ) & ( v3_topdim_1(B) => v3_topdim_1(A) ) & ( v3_topdim_1(A) => k4_topdim_1(B) = k4_topdim_1(A) ) ) ) ) ) )).
fof(l38_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_tops_1(A,B),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k2_tops_1(A,k4_subset_1(u1_struct_0(A),B,C)),k2_tops_1(A,k9_subset_1(u1_struct_0(A),B,C))),k9_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C)))) ) ) ) )).
fof(l38_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(A,5) => m1_subset_1(A,u2_turing_1(k13_turing_1)) ) ) )).
fof(l38_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(k10_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C))) ) ) ) )).
fof(l38_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_algstr_0(A,k5_algstr_0(A,k4_algstr_0(A,B),C)) = k1_algstr_0(A,C,B) ) ) ) )).
fof(l38_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_tops_1(A,B) = k3_tarski(a_2_8_waybel17(A,B)) ) ) )).
fof(l38_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( u1_struct_0(A) = k6_domain_1(u1_struct_0(A),C) => B = k6_domain_1(u1_struct_0(A),C) ) ) ) ) )).
fof(l38_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = a_4_0_waybel_5(A,B,C,D) => k5_yellow_2(A,k4_waybel_5(A,k6_waybel_5(B,C,u1_struct_0(A),D))) = k1_yellow_0(A,E) ) ) ) ) ) => v3_waybel_3(A) ) ) )).
fof(l38_xxreal_3,axiom,( k2_xxreal_3(k1_xxreal_0) = k2_xxreal_0 )).
fof(l38_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B))) => ( r2_tarski(C,u1_struct_0(k4_yellow_1(A,k7_funcop_1(A,B)))) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) ) )).
fof(l38_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,k2_tarski(A,B)) <=> ~ ( C != k1_xboole_0 & C != k1_tarski(A) & C != k1_tarski(B) & C != k2_tarski(A,B) ) ) )).
fof(l39_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_algstr_1)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_algstr_1)) => ( k6_algstr_0(k2_algstr_1,B,A) = k6_algstr_0(k2_algstr_1,C,A) => ( A = k4_struct_0(k2_algstr_1) | B = C ) ) ) ) ) )).
fof(l39_algstr_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => r1_tarski(k2_zfmisc_1(k11_algstr_4(A,B),k1_tarski(B)),k12_algstr_4(A)) ) ) )).
fof(l39_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( J = k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(H,I),k3_xcmplx_0(H,G)),k5_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(H,G),k3_xcmplx_0(F,G)))),K) & D = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k2_xcmplx_0(J,K)),k1_rlvect_1(A,C,k3_xcmplx_0(J,F))),k1_rlvect_1(A,E,k3_xcmplx_0(K,I))) ) => ( G = k5_numbers | F = H | D = k1_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k6_xcmplx_0(k3_xcmplx_0(H,I),k3_xcmplx_0(F,G))),k1_rlvect_1(A,C,k3_xcmplx_0(k3_xcmplx_0(F,H),k6_xcmplx_0(I,G)))),k1_rlvect_1(A,E,k3_xcmplx_0(k3_xcmplx_0(G,I),k6_xcmplx_0(H,F)))),k3_xcmplx_0(K,k5_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(H,G),k3_xcmplx_0(F,G))))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l39_arytm_3,axiom,( r1_arytm_3(1,1) )).
fof(l39_binop_2,axiom,( r3_binop_1(k1_numbers,c5__binop_2,k11_binop_2) )).
fof(l39_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v4_normsp_0(k7_cc0sp1(A)) & v3_normsp_0(k7_cc0sp1(A)) & v8_clvect_1(k7_cc0sp1(A)) ) ) )).
fof(l39_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_finset_1(B) & v4_card_3(B) & v1_xboole_0(k2_topgen_1(A,B)) ) ) => v8_compl_sp(A) ) ) )).
fof(l39_convex1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ! [C] : ! [D] : ~ ( v2_funct_1(A) & k10_xtuple_0(A) = k1_enumset1(B,C,D) & B != C & C != D & D != B & A != k11_finseq_1(B,C,D) & A != k11_finseq_1(B,D,C) & A != k11_finseq_1(C,B,D) & A != k11_finseq_1(C,D,B) & A != k11_finseq_1(D,B,C) & A != k11_finseq_1(D,C,B) ) ) )).
fof(l39_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => ( ( r3_cqc_the1(A,D,B) & r3_cqc_the1(A,D,C) ) => r3_cqc_the1(A,D,k7_cqc_lang(A,B,C)) ) ) ) ) ) )).
fof(l39_fdiff_1,axiom,( v3_rcomp_1(k2_subset_1(k1_numbers)) )).
fof(l39_finseq_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r1_tarski(A,k2_finseq_1(B)) => v2_funct_1(k14_finseq_1(A)) ) ) )).
fof(l39_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ~ ( r2_tarski(A,k27_fomodel1(B)) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ r2_tarski(A,k1_funct_1(k25_fomodel1(B),C)) ) ) ) )).
fof(l39_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v3_card_1(D,C) & v1_finseq_1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k3_relat_1(D,E) = k1_funct_1(k8_fomodel3(A,B,E,C),D) ) ) ) ) ) )).
fof(l39_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m2_funct_2(C,k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_fomodel4(B))) => ( r1_tarski(A,k3_funct_2(k1_zfmisc_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),C,D)) => v4_fomodel4(A,B,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),C),D) ) ) ) ) )).
fof(l39_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_funcsdom(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_funcsdom(A))) => ( C = k9_funcsdom(A) => ( k6_algstr_0(k12_funcsdom(A),B,C) = B & k6_algstr_0(k12_funcsdom(A),C,B) = B ) ) ) ) ) )).
fof(l39_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_gcd_1(A,D,B) & r2_gcd_1(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_gcd_1(A,E,B) & r2_gcd_1(A,E,C) ) => r2_gcd_1(A,E,D) ) ) ) ) ) ) )).
fof(l39_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ~ ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) & ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ~ ( D = k6_xcmplx_0(C,1) & r2_tarski(k6_xcmplx_0(C,1),k1_relset_1(k4_ordinal1,B)) & r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,B)) & r1_glib_000(A,k1_funct_1(B,D),k1_funct_1(B,k1_nat_1(C,1)),k1_funct_1(B,C)) ) ) ) ) ) ) )).
fof(l39_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,B,C) = k8_group_1(A,C,B) ) ) ) )).
fof(l39_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ( r2_tarski(C,k10_heyting1(A,B)) => k3_lattices(k11_normform(A),C,k3_funct_2(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),k11_heyting1(A,B),C)) = B ) ) ) )).
fof(l39_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(k3_hilbert1(k3_hilbert1(B,C),k3_hilbert1(A,C)),D),k3_hilbert1(k3_hilbert1(A,B),D)),k6_hilbert1) ) ) ) ) )).
fof(l39_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & B != D & r1_incsp_1(A,D,C) ) ) ) ) )).
fof(l39_jordan1b,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(C,k1_matrix_0(k1_jordan8(A,D))) & r1_tarski(k3_goboard5(k1_jordan8(A,D),B,C),k1_jordan2c(2,A)) & B = k5_numbers ) ) ) ) ) )).
fof(l39_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_lattices(A,B,k4_lattices(A,C,D)) = k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)) ) ) ) ) )).
fof(l39_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( k3_finseq_1(B) = k3_finseq_1(C) => k3_finseq_1(B) = k3_finseq_1(k3_fvsum_1(A,B,C)) ) ) ) ) )).
fof(l39_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,3,2,1) != k3_finseq_4(k4_ordinal1,1,3,2) & k3_finseq_4(k4_ordinal1,2,3,1) != k3_finseq_4(k4_ordinal1,3,1,2) )).
fof(l39_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( v3_mazurulm(C,A,B) & r1_xxreal_0(k1_newton(2,F),G) & ! [H] : ( v7_ordinal1(H) => ~ ( H = k3_xxreal_3(k1_xxreal_3(k1_newton(2,F),G),k1_newton(2,k2_xcmplx_0(F,1))) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,D,k1_rlvect_1(A,k5_algstr_0(A,E,D),k6_xxreal_3(G,k1_newton(2,k2_xcmplx_0(F,1)))))) = k1_rlvect_1(B,k3_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,D,k3_xxreal_3(k1_newton(2,k2_xcmplx_0(F,1)),G)),k1_rlvect_1(A,E,H)),k6_xxreal_3(1,k1_newton(2,F))))),k6_xxreal_3(1,2)) ) ) ) ) ) ) ) ) ) ) )).
fof(l39_mesfunc8,axiom,( v1_xreal_0(1) )).
fof(l39_metrizts,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( v3_pre_topc(a_3_5_metrizts(A,B,C),k3_pcomps_1(A)) & m1_subset_1(a_3_5_metrizts(A,B,C),k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) ) ) ) )).
fof(l39_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_midsp_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [E] : ( ( v4_midsp_2(E,B) & l1_midsp_2(E,B) ) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(B,E)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,E)))) => ( k7_midsp_3(A,B,E,C,F) = D => k10_midsp_3(A,B,E,F) = k9_midsp_2(B,E,C,k4_midsp_3(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(l39_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v5_modelc_1(A) => ( ~ v2_modelc_1(A) & ~ v4_modelc_1(A) & ~ v3_modelc_1(A) & ~ v6_modelc_1(A) & ~ v7_modelc_1(A) ) ) ) )).
fof(l39_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v6_modelc_2(A) => ( ~ v2_modelc_2(A) & ~ v3_modelc_2(A) & ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) ) ) )).
fof(l39_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ! [D] : ( m1_subset_1(D,k25_modelc_2(k43_modelc_2)) => ( r2_tarski(A,u2_modelc_3(B,C)) => ( ( ~ v4_modelc_2(A) & ~ v6_modelc_2(A) ) | ( r8_modelc_2(D,k14_modelc_3(B,C)) <=> r8_modelc_2(D,k14_modelc_3(B,k5_modelc_3(B,C,A))) ) ) ) ) ) ) ) )).
fof(l39_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( ( v3_group_1(A) & v13_monoid_0(A) ) => v2_group_1(A) ) ) )).
fof(l39_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ! [D] : ( m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)))) & ? [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,B),H)) & ? [K] : ( m1_subset_1(K,k1_funct_1(u3_msualg_1(A,B),H)) & r1_rewrite1(k3_msualg_6(A),H,E) & m2_msualg_6(I,A,B,H,E) & r2_hidden(k4_tarski(J,K),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,H)) & F = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,J) & G = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,K) ) ) ) ) ) ) ) ) => ( v3_msualg_6(D,A,B) & r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ( v3_msualg_6(E,A,B) & r2_pboole(u1_struct_0(A),C,E) ) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) ) ) ) )).
fof(l39_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(B,k5_ordinal1) & ~ r1_xxreal_0(A,B) & r1_xxreal_0(k6_xcmplx_0(k1_newton(A,k2_xcmplx_0(C,1)),k1_newton(B,k2_xcmplx_0(C,1))),k3_xcmplx_0(k2_xcmplx_0(k1_newton(A,C),k1_newton(B,C)),k6_xcmplx_0(A,B))) ) ) ) ) )).
fof(l39_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v7_o_ring_1(B,A) => v11_o_ring_1(B,A) ) ) ) )).
fof(l39_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,k2_oppcat_1(B),A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,C),k3_oppcat_1(B,D))) ) ) ) ) )).
fof(l39_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(A,B) & ~ r1_xxreal_0(C,1) & r1_xxreal_0(k1_newton(C,A),k1_newton(C,B)) ) ) ) ) )).
fof(l39_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r3_orders_2(A,D,C) ) ) => r3_orders_2(A,k1_yellow_0(A,B),C) ) ) ) ) )).
fof(l39_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),B),k12_finseq_1(u1_struct_0(A),C)),D) => r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k3_prelamb(A,B,C)),D) ) ) ) ) ) )).
fof(l39_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ( v5_ratfunc1(B,A) => ! [C] : ( m1_ratfunc1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = k3_ratfunc1(A,k12_polynom3(A,D,k4_ratfunc1(A,C)),k12_polynom3(A,D,k5_ratfunc1(A,C))) & v5_ratfunc1(C,A) ) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) => ~ ( D = k3_group_4(k13_polynom3(A),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),G) & k1_funct_1(E,F) = k3_hurwitz(A,G,1) ) ) ) ) ) ) | ! [E] : ( m1_ratfunc1(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & ~ v1_ratfunc1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = k3_ratfunc1(A,k12_polynom3(A,F,k4_ratfunc1(A,E)),k12_polynom3(A,F,k5_ratfunc1(A,E))) & v5_ratfunc1(E,A) ) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(k13_polynom3(A))) => ~ ( F = k3_group_4(k13_polynom3(A),G) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),I) & k1_funct_1(G,H) = k3_hurwitz(A,I,1) ) ) ) ) ) ) | ( r2_funct_2(k4_ordinal1,u1_struct_0(A),D,k10_polynom3(A)) & r2_funct_2(k4_ordinal1,u1_struct_0(A),F,k10_polynom3(A)) & C = E ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l39_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( ~ r1_xxreal_0(B,1) => ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,B)),1) = B & k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,B)),k1_nat_1(A,2)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,B)),k5_numbers) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,B)),1) = B & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,B)),k1_nat_1(A,2)) = k5_numbers ) ) ) ) )).
fof(l39_realset2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( A = k6_subset_1(c4__realset2,k6_domain_1(c4__realset2,c5__realset2)) & C = c7__realset2 & r1_funct_2(k2_zfmisc_1(A,A),A,k2_zfmisc_1(k6_subset_1(c4__realset2,k6_domain_1(c4__realset2,c5__realset2)),k6_subset_1(c4__realset2,k6_domain_1(c4__realset2,c5__realset2))),k6_subset_1(c4__realset2,k6_domain_1(c4__realset2,c5__realset2)),B,k4_realset1(c4__realset2,c5__realset2,c11__realset2)) ) => ( ~ v2_struct_0(g2_algstr_0(A,B,C)) & v13_algstr_0(g2_algstr_0(A,B,C)) & v2_rlvect_1(g2_algstr_0(A,B,C)) & v3_rlvect_1(g2_algstr_0(A,B,C)) & v4_rlvect_1(g2_algstr_0(A,B,C)) & l2_algstr_0(g2_algstr_0(A,B,C)) ) ) ) ) ) )).
fof(l39_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v3_rltopsp1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_rltopsp1(k7_rusub_4(A,B,C),A) ) ) ) )).
fof(l39_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k6_rlvect_2(A,k4_rlvect_2(A)) = k4_struct_0(A) ) )).
fof(l39_scmbsort,axiom,( k4_scmfsa_2(1) != k4_scmfsa_2(3) )).
fof(l39_scmfsa8a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r5_scmfsa7b(A,k1_scmfsa_m(B),C) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),1))) = k4_card_1(A) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),1))) & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))) & k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(A,k4_compos_1(k1_scmfsa_2))),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))) = k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,A),k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),1) ) ) ) ) ) )).
fof(l39_scmfsa_x,axiom,( ! [A] : ( ( v6_compos_0(A,u1_compos_1(k1_scmfsa_2)) & m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) ) => k1_scmfsa6a(k11_compos_1(k1_scmfsa_2,A)) = k7_compos_1(k1_scmfsa_2,k11_compos_1(k1_scmfsa_2,A),k1_scmfsa8a(1)) ) )).
fof(l39_scmisort,axiom,( ~ r4_scmfsa7b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k4_scmfsa_2(k1_nat_1(3,1))) )).
fof(l39_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k2_xcmplx_0(k11_newton(2,k1_nat_1(A,3)),k1_newton(k4_xcmplx_0(1),k1_nat_1(A,3))),k5_numbers) ) )).
fof(l39_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(k11_comseq_3(k3_sin_cos(A)),k11_comseq_3(k3_sin_cos(B))) = k11_comseq_3(k3_sin_cos(k2_xcmplx_0(A,B))) ) ) )).
fof(l39_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ ( r1_xxreal_0(A,1) & r1_xxreal_0(k4_xcmplx_0(1),A) ) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(A,1),k6_xcmplx_0(A,1)),k5_numbers) ) ) )).
fof(l39_sincos10,axiom,( k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)) = k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(l39_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( v3_sppol_1(A) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) & C = k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) & D = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(E,k1_rltopsp1(k15_euclid(2),C,D)) & k17_euclid(E) != k17_euclid(C) & k17_euclid(E) != k17_euclid(D) & k18_euclid(E) != k18_euclid(C) & k18_euclid(E) != k18_euclid(D) ) ) ) ) ) ) ) )).
fof(l39_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => v3_topreal1(k2_finseq_4(u1_struct_0(k15_euclid(2)),A,B)) ) ) )).
fof(l39_srings_2,axiom,( k3_xboole_0(k1_enumset1(2,3,4),k1_tarski(1)) = k1_xboole_0 )).
fof(l39_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_substlat(A,B))) => k2_lattices(k5_substlat(A,B),C,k2_lattices(k5_substlat(A,B),D,E)) = k2_lattices(k5_substlat(A,B),k2_lattices(k5_substlat(A,B),C,D),E) ) ) ) )).
fof(l39_taylor_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r1_tarski(B,k1_relset_1(k1_numbers,A)) => ! [C] : ( v7_ordinal1(C) => ( r1_taylor_1(A,C,B) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r1_tarski(k1_rcomp_1(D,E),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),C),k1_rcomp_1(D,E))) & r1_taylor_1(A,k1_nat_1(C,1),k2_rcomp_1(D,E)) ) => ( r1_xxreal_0(E,D) | ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,F) = B & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,B) => k1_funct_1(F,G) = k6_xcmplx_0(k1_funct_1(A,E),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,G,E)),C)) ) ) ) => ( k1_funct_1(F,E) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(D,E))) & r2_fdiff_1(F,k2_rcomp_1(D,E)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k2_rcomp_1(D,E)) => k1_fdiff_1(F,G) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(D,E)),k1_nat_1(C,1)),G),k1_newton(k6_xcmplx_0(E,G),C)),k2_newton(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l39_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k3_polynom1(k15_pre_poly(A),C,k5_termord(A,B,C,D)) = k1_xboole_0 | k3_polynom1(k15_pre_poly(A),C,k5_termord(A,B,C,D)) = k1_tarski(k3_termord(A,B,C,D)) ) ) ) ) ) )).
fof(l39_topalg_5,axiom,( k2_struct_0(k1_tex_2(k17_borsuk_1,k18_borsuk_1)) = k6_domain_1(k4_ordinal1,k5_numbers) )).
fof(l39_topreal2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_topreal1(k15_euclid(2),A,B,D) & r1_topreal1(k15_euclid(2),A,B,E) & C = k4_subset_1(u1_struct_0(k15_euclid(2)),D,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),D,E) = k2_tarski(A,B) ) => v1_topreal2(C) ) ) ) ) ) ) )).
fof(l39_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => r1_tarski(u1_struct_0(k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),k2_vectsp_5(A,B,D,E))),u1_struct_0(k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,C,E)))) ) ) ) ) ) )).
fof(l39_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_waybel_3(A,F,D) & r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) ) => v5_pre_topc(C,A,B) ) ) ) ) )).
fof(l39_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r2_hidden(A,k1_numbers) => k2_xxreal_3(k1_xxreal_3(A,k2_xxreal_0)) = k1_xxreal_3(k2_xxreal_3(k2_xxreal_0),k2_xxreal_3(A)) ) ) )).
fof(l39_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_numbers) => m1_subset_1(k5_int_1(B,A),u1_struct_0(k9_int_3(A))) ) ) )).
fof(l3_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_diraf(A,B,C,D,E) => r2_diraf(A,C,B,D,E) ) ) ) ) ) ) )).
fof(l3_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [C] : ( v7_ordinal1(C) & r1_algseq_1(A,B,C) ) ) ) )).
fof(l3_algstr_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_vectsp_1)) => ~ ( A != k4_struct_0(k2_vectsp_1) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_vectsp_1)) => k8_group_1(k2_vectsp_1,C,A) != B ) ) ) ) )).
fof(l3_altcat_5,axiom,( u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0))) = k1_tarski(k5_numbers) )).
fof(l3_altcat_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ( m1_subset_1(k1_xboole_0,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) & r2_tarski(k1_xboole_0,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) ) ) ) )).
fof(l3_ami_2,axiom,( ~ r2_tarski(k4_ordinal1,k2_ami_2) )).
fof(l3_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( B = k3_rlvect_1(A,k1_rlvect_1(A,C,F),k1_rlvect_1(A,D,G)) => k1_rlvect_1(A,B,E) = k3_rlvect_1(A,k1_rlvect_1(A,C,k3_xcmplx_0(E,F)),k1_rlvect_1(A,D,k3_xcmplx_0(E,G))) ) ) ) ) ) ) ) ) )).
fof(l3_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( r1_analmetr(A,B,C) & k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)) ) => ( D = F & E = G ) ) ) ) ) ) ) ) ) )).
fof(l3_arithm,axiom,( r2_tarski(1,k4_ordinal1) )).
fof(l3_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( k8_arytm_2(A,B) = k8_arytm_2(A,C) => ( A = k11_arytm_3 | B = C ) ) ) ) ) )).
fof(l3_arytm_2,axiom,( ! [A] : ! [B] : ~ r2_hidden(k4_tarski(A,B),a_0_0_arytm_2) )).
fof(l3_axioms,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( A = C & B = D ) => k1_arytm_0(A,B) = k2_xcmplx_0(C,D) ) ) ) ) ) )).
fof(l3_bhsp_1,axiom,( v1_funct_1(k8_funcop_1(k1_numbers,k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k10_subset_1(k5_numbers,k1_numbers))) & v1_funct_2(k8_funcop_1(k1_numbers,k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k10_subset_1(k5_numbers,k1_numbers)),k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers) & m1_subset_1(k8_funcop_1(k1_numbers,k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k10_subset_1(k5_numbers,k1_numbers)),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers))) )).
fof(l3_bhsp_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(A,k7_xcmplx_0(1,k1_nat_1(C,1))) & r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(l3_binom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k4_ordinal1,A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A),B))) & ! [F] : ( m1_subset_1(F,A) => ( k2_binop_1(k4_ordinal1,A,B,E,k5_numbers,F) = C & ! [G] : ( v7_ordinal1(G) => k2_binop_1(k4_ordinal1,A,B,E,k1_nat_1(G,1),F) = k1_binop_1(D,F,k1_binop_1(E,G,F)) ) ) ) ) ) ) ) ) )).
fof(l3_borsuk_3,axiom,( ! [A] : ( l1_pre_topc(A) => r1_t_0topsp(A,A) ) )).
fof(l3_borsuk_7,axiom,( u1_struct_0(k2_borsuk_1(k17_borsuk_1,k17_borsuk_1)) = k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k17_borsuk_1)) )).
fof(l3_bvfunc14,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ! [E] : ( B != C => k1_funct_1(k1_funct_4(k1_funct_4(A,k17_funcop_1(B,D)),k17_funcop_1(C,E)),B) = D ) ) )).
fof(l3_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => v1_ideal_1(k2_struct_0(A),A) ) )).
fof(l3_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k2_numbers,A,B) => ( ( ( v1_fdiff_1(A,k5_numbers) & v9_ordinal1(A) ) => ( v1_cfdiff_1(B,k5_numbers) & v9_ordinal1(B) ) ) & ( ( v1_cfdiff_1(B,k5_numbers) & v9_ordinal1(B) ) => ( v1_fdiff_1(A,k5_numbers) & v9_ordinal1(A) ) ) ) ) ) ) )).
fof(l3_chord,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ~ ( ~ r1_xxreal_0(B,k2_xcmplx_0(A,2)) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(C,A),1),k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(C,B),1),2)) ) ) ) ) )).
fof(l3_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ! [E] : ( m1_pboole(E,A,B) => m1_pboole(k16_pralg_1(A,D,E),A,C) ) ) ) ) )).
fof(l3_complfld,axiom,( k5_struct_0(k1_complfld) = k6_complex1 )).
fof(l3_convex3,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l3_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ( k3_xcmplx_0(k3_complex1(A),k4_complex1(B)) = k3_xcmplx_0(k3_complex1(B),k4_complex1(A)) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(k3_xcmplx_0(k3_complex1(A),k3_complex1(B)),k3_xcmplx_0(k4_complex1(A),k4_complex1(B)))) ) => k9_complex1(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k9_complex1(A),k9_complex1(B)) ) ) ) )).
fof(l3_csspace3,axiom,( m1_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3)),k5_csspace) )).
fof(l3_dtconstr,axiom,( k4_finseq_1(k15_trees_3(k1_xboole_0)) = k1_xboole_0 )).
fof(l3_euclid_7,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => k1_card_1(A) = k1_card_1(B) ) ) ) )).
fof(l3_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => k7_euclid(3,A,B) = k1_euclid_8(k2_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,1)),k2_xcmplx_0(k1_funct_1(A,2),k1_funct_1(B,2)),k2_xcmplx_0(k1_funct_1(A,3),k1_funct_1(B,3))) ) ) )).
fof(l3_euler_2,axiom,( ! [A] : ( v1_int_1(A) => k3_int_2(1,A) = 1 ) )).
fof(l3_fdiff_5,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k9_xtuple_0(k4_taylor_1(k7_xcmplx_0(1,2)))) => ( r2_fdiff_1(k4_taylor_1(k7_xcmplx_0(1,2)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k4_taylor_1(k7_xcmplx_0(1,2)),A),B) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_prepower(B,k4_xcmplx_0(k7_xcmplx_0(1,2)))) ) ) ) ) ) )).
fof(l3_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(k1_funct_1(k16_sin_cos,A),k5_numbers) => k1_funct_1(k16_sin_cos,A) = k6_prepower(k3_xcmplx_0(k6_xcmplx_0(1,k1_funct_1(k18_sin_cos,A)),k2_xcmplx_0(1,k1_funct_1(k18_sin_cos,A))),k7_xcmplx_0(1,2)) ) ) )).
fof(l3_fib_fusc,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( A = k1_nat_1(k2_nat_1(2,B),1) => ( r1_xxreal_0(B,k5_numbers) | k2_xcmplx_0(6,k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,B)),1)),1)) = k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,A)),1)),1) ) ) ) ) )).
fof(l3_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k2_xboole_0(A,B)) ) )).
fof(l3_fomodel3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( r2_tarski(A,k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),B)) => r1_tarski(a_2_1_fomodel3(A,C),B) ) ) ) )).
fof(l3_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ ( ~ v7_pre_topc(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r2_funct_2(k4_ordinal1,u1_struct_0(A),D,k8_funcop_1(u1_struct_0(A),k4_ordinal1,B)) & B != C & r1_frechet(A,D,C) ) ) ) ) ) ) )).
fof(l3_friends1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( v2_relat_2(B) & r2_hidden(k4_tarski(A,A),B) ) ) )).
fof(l3_gaussint,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( v1_int_1(k3_complex1(A)) & v1_int_1(k4_complex1(A)) ) => v1_gaussint(A) ) ) )).
fof(l3_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k1_funct_1(k1_funct_4(A,k17_funcop_1(B,C)),B) = C ) )).
fof(l3_goboard6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k1_rlvect_1(k15_euclid(2),B,A)) = k3_xcmplx_0(A,k17_euclid(B)) & k18_euclid(k1_rlvect_1(k15_euclid(2),B,A)) = k3_xcmplx_0(A,k18_euclid(B)) ) ) ) )).
fof(l3_groeb_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(C,k7_ideal_1(A,B)) ) ) ) ) )).
fof(l3_heyting3,axiom,( 1 = k1_nat_1(k5_numbers,1) )).
fof(l3_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v7_aff_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( v1_aff_1(B,A) & r2_tarski(C,B) & r2_tarski(F,B) & r2_tarski(I,B) & r1_aff_1(A,C,D,G) & r2_analoaf(A,D,E,G,H) & r2_analoaf(A,E,F,H,I) & r2_analoaf(A,D,F,G,I) & r2_aff_1(A,D,E,B) ) => ( r2_tarski(D,B) | D = E | r1_aff_1(A,C,E,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l3_hurwitz2,axiom,( k1_nat_1(k3_xcmplx_0(2,k5_ordinal1),1) = 1 )).
fof(l3_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_numbers)) => r1_tarski(k1_measure6(B,A),k4_numbers) ) ) )).
fof(l3_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ( r1_int_1(A,B) => k5_int_1(B,A) = k5_numbers ) & ( k5_int_1(B,A) = k5_numbers => ( A = k5_numbers | r1_int_1(A,B) ) ) ) ) ) )).
fof(l3_integr11,axiom,( k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4))) = k2_subset_1(k1_numbers) )).
fof(l3_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( v1_xreal_0(D) => ~ ( v2_seq_2(k2_partfun1(A,k1_numbers,B,A)) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m1_integr15(E,A,B,C) => ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k4_finseq_1(C)) & ~ ( r1_xxreal_0(k1_funct_1(k5_integra1(A,B,C),F),k1_funct_1(E,F)) & ~ r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k5_integra1(A,B,C),F),D),k1_funct_1(E,F)) ) ) ) ) ) ) ) ) )).
fof(l3_jgraph_3,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),k5_pscomp_1) = u1_struct_0(k15_euclid(2)) )).
fof(l3_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,A) ) => r1_xxreal_0(k3_xcmplx_0(B,k3_square_1(k2_xcmplx_0(1,k1_square_1(A)))),k3_xcmplx_0(A,k3_square_1(k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) )).
fof(l3_jgraph_8,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(A),B) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k1_nat_1(B,1)),k7_partfun1(k1_numbers,A,B)) ) ) => v5_valued_0(A) ) ) )).
fof(l3_jordan,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( r1_xboole_0(A,E) & r1_xboole_0(B,E) & r1_xboole_0(C,E) & r1_xboole_0(D,E) ) => r1_xboole_0(k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D),E) ) )).
fof(l3_jordan1a,axiom,( 1 = k1_nat_1(k2_nat_1(2,k5_numbers),1) )).
fof(l3_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(A,u1_struct_0(k14_euclid(2))) ) )).
fof(l3_jordan1d,axiom,( 2 = k1_nat_1(k2_nat_1(2,1),k5_numbers) )).
fof(l3_jordan21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( r2_tarski(A,k2_xboole_0(k2_xboole_0(B,C),D)) & ~ r2_tarski(A,B) & ~ r2_tarski(A,C) & ~ r2_tarski(A,D) ) )).
fof(l3_jordan7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(B,C),A) => r1_xxreal_0(C,k7_nat_d(A,B)) ) ) ) ) )).
fof(l3_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_xboole_0(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(k3_lattice3(A))) => ? [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) & r2_tarski(D,B) & ~ r3_orders_2(k3_lattice3(A),D,C) ) ) ) ) ) )).
fof(l3_lattice8,axiom,( ~ v1_abian(1) )).
fof(l3_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(k10_xtuple_0(A),k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) => ( k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C)) & r1_tarski(k10_xtuple_0(A),k1_relset_1(k1_numbers,B)) & r1_tarski(k10_xtuple_0(A),k1_relset_1(k1_numbers,C)) ) ) ) ) ) )).
fof(l3_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(B,1)))) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(B,1))),A) ) ) ) )).
fof(l3_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(A,k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(B,1)))) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(B,1))),A) ) ) ) )).
fof(l3_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => ( k6_algstr_0(A,D,k6_lopban_3(A,C,B)) = k6_algstr_0(A,k6_lopban_3(A,C,B),D) & k6_algstr_0(A,C,k6_lopban_3(A,D,B)) = k6_algstr_0(A,k6_lopban_3(A,D,B),C) ) ) ) ) ) ) )).
fof(l3_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k5_numbers,A) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(k5_numbers,k2_power(A,B)) ) ) ) ) )).
fof(l3_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => k2_matrix_0(B) = k2_matrix_0(k2_matrix_3(A,B)) ) ) )).
fof(l3_matrix16,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(k4_tarski(B,C),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A))) | r2_hidden(k4_tarski(C,B),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A))) ) => r2_tarski(k2_xcmplx_0(k5_int_1(k6_xcmplx_0(C,B),A),1),k2_finseq_1(A)) ) ) ) ) )).
fof(l3_matrix_9,axiom,( r2_tarski(k2_finseq_4(k4_ordinal1,2,1),k9_matrix_1(2)) )).
fof(l3_matrixr2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(C)) ) => k7_matrix_0(A,C,B) = k1_funct_1(C,B) ) ) ) ) )).
fof(l3_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v3_valued_0(B) ) => m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) ) )).
fof(l3_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( r2_tarski(D,A) => k1_funct_1(k1_mboolean(A,k2_pboole(A,B,C)),D) = k1_zfmisc_1(k2_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))) ) ) ) )).
fof(l3_mesfunc7,axiom,( v1_xreal_0(1) )).
fof(l3_metric_1,axiom,( k1_binop_1(k9_funct_5,k5_numbers,k5_numbers) = k5_numbers )).
fof(l3_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_mod_4(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_mod_4(A))) => ( C = k5_struct_0(A) => ( k6_algstr_0(k2_mod_4(A),B,C) = B & k6_algstr_0(k2_mod_4(A),C,B) = B ) ) ) ) ) )).
fof(l3_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( k1_funct_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1)),A),1) = A & k2_relset_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1)),k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1)),A)) = k1_tarski(A) ) ) )).
fof(l3_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) ) => k1_newton(k4_xcmplx_0(1),A) = k4_xcmplx_0(1) ) )).
fof(l3_normsp_0,axiom,( m1_subset_1(k5_numbers,k1_tarski(k5_numbers)) )).
fof(l3_normsp_1,axiom,( m1_subset_1(k4_struct_0(o_0_5_normsp_1),u1_struct_0(k1_rlsub_1(o_0_5_normsp_1))) )).
fof(l3_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v2_metric_1(u1_metric_1(g1_metric_1(u1_struct_0(A),k1_normsp_2(A))),u1_struct_0(g1_metric_1(u1_struct_0(A),k1_normsp_2(A)))) ) )).
fof(l3_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( k8_nat_1(k4_ordinal1,C,k5_numbers) = k1_int_2(A) & k8_nat_1(k4_ordinal1,D,k5_numbers) = k1_int_2(B) & ! [G] : ( v7_ordinal1(G) => ( k8_nat_1(k4_ordinal1,C,k1_nat_1(G,1)) = k8_nat_1(k4_ordinal1,D,G) & k8_nat_1(k4_ordinal1,D,k1_nat_1(G,1)) = k4_nat_d(k8_nat_1(k4_ordinal1,C,G),k8_nat_1(k4_ordinal1,D,G)) ) ) & k8_nat_1(k4_ordinal1,E,k5_numbers) = k1_int_2(A) & k8_nat_1(k4_ordinal1,F,k5_numbers) = k1_int_2(B) & ! [G] : ( v7_ordinal1(G) => ( k8_nat_1(k4_ordinal1,E,k1_nat_1(G,1)) = k8_nat_1(k4_ordinal1,F,G) & k8_nat_1(k4_ordinal1,F,k1_nat_1(G,1)) = k4_nat_d(k8_nat_1(k4_ordinal1,E,G),k8_nat_1(k4_ordinal1,F,G)) ) ) ) => ( r2_funct_2(k4_ordinal1,k4_ordinal1,C,E) & r2_funct_2(k4_ordinal1,k4_ordinal1,D,F) ) ) ) ) ) ) ) ) )).
fof(l3_numpoly1,axiom,( ! [A] : ( v1_int_1(A) => v1_abian(k3_xcmplx_0(A,k2_xcmplx_0(A,1))) ) )).
fof(l3_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k7_partfun1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),B)),k1_nat_1(k3_finseq_1(C),1)) = B ) ) ) )).
fof(l3_ordeq_02,axiom,( k1_relset_1(k1_euclid(1),k1_pdiff_1(1,1)) = k1_euclid(1) & k1_rvsum_1(k1_pdiff_1(1,1)) = k1_numbers & ! [A] : ( m1_subset_1(A,k1_numbers) => ( k1_funct_1(k1_pdiff_1(1,1),k12_finseq_1(k1_numbers,A)) = A & k1_funct_1(k2_funct_1(k1_pdiff_1(1,1)),A) = k12_finseq_1(k1_numbers,A) ) ) )).
fof(l3_ordinal4,axiom,( 1 = k1_ordinal1(k1_xboole_0) )).
fof(l3_ortsp_1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1),c1__ortsp_1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1),c1__ortsp_1))) & ! [B] : ( m1_subset_1(B,c1__ortsp_1) => ! [C] : ( m1_subset_1(C,c1__ortsp_1) => k4_binop_1(c1__ortsp_1,A,B,C) = c2__ortsp_1 ) ) ) )).
fof(l3_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_algstr_0(A,k8_group_1(A,B,k5_algstr_0(A,C,C)),k8_group_1(A,k5_algstr_0(A,D,D),E)) = k4_struct_0(A) ) ) ) ) ) )).
fof(l3_partfun1,axiom,( ! [A] : ! [B] : ? [C] : ( r1_tarski(k9_xtuple_0(C),A) & r1_tarski(k10_xtuple_0(C),B) ) )).
fof(l3_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(A,k2_finseq_1(B)) => v2_funct_2(k1_pdiff_1(A,B),k1_numbers) ) ) ) )).
fof(l3_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( A != k5_numbers => r1_xxreal_0(k5_numbers,k6_xcmplx_0(A,1)) ) ) )).
fof(l3_polyeq_2,axiom,( v1_abian(4) )).
fof(l3_polynom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_orders_1(C) => r3_orders_1(C,B) ) ) ) )).
fof(l3_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ( r2_pre_poly(A,B,C) & r2_pre_poly(A,C,B) ) => B = C ) ) ) ) )).
fof(l3_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => r1_finseqop(u1_struct_0(A),k4_vectsp_1(A),u1_algstr_0(A)) ) )).
fof(l3_quatern2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)),k1_square_1(D)) = k5_numbers => ( A = k5_numbers & B = k5_numbers & C = k5_numbers & D = k5_numbers ) ) ) ) ) ) )).
fof(l3_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(A)),k1_radix_1(k7_nat_d(A,1))) = k4_xcmplx_0(k1_radix_1(k7_nat_d(A,1))) ) ) )).
fof(l3_radix_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => k4_radix_1(D,C,k2_xcmplx_0(A,1),k10_radix_1(C,k2_xcmplx_0(A,1),B)) = k4_radix_1(D,C,A,k10_radix_1(C,A,B)) ) ) ) ) ) )).
fof(l3_ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(A,B) => r1_tarski(k3_group_10(A,C),k3_group_10(B,C)) ) )).
fof(l3_rat_1,axiom,( m1_subset_1(k5_numbers,k2_arytm_2) )).
fof(l3_realset2,axiom,( r2_tarski(1,2) )).
fof(l3_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(A),B) ) ) ) )).
fof(l3_rlsub_1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l3_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( B != C & B != D & C != D & ! [H] : ( m2_rlvect_2(H,A,k8_domain_1(u1_struct_0(A),B,C,D)) => ~ ( k3_funct_2(u1_struct_0(A),k1_numbers,H,B) = E & k3_funct_2(u1_struct_0(A),k1_numbers,H,C) = F & k3_funct_2(u1_struct_0(A),k1_numbers,H,D) = G ) ) ) ) ) ) ) ) ) ) )).
fof(l3_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k9_xtuple_0(D)) => k1_funct_1(E,F) = k4_vectsp_2(A,B,C,k7_partfun1(u1_struct_0(B),D,F)) ) ) ) => k4_rlvect_1(B,E) = k4_vectsp_2(A,B,C,k4_rlvect_1(B,D)) ) ) ) ) ) ) )).
fof(l3_rsspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) ) & ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) & ( v1_series_1(A) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k4_series_1(A)) ) & ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k4_series_1(A)) ) ) ) ) ) ) )).
fof(l3_rsspace3,axiom,( m1_rlsub_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3)),k4_rsspace) )).
fof(l3_rusub_3,axiom,( m1_subset_1(1,k1_numbers) & m1_subset_1(k10_subset_1(k5_numbers,k1_numbers),k1_numbers) )).
fof(l3_rvsum_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k1_funct_1(k5_funcop_1(k5_binop_2,A,k6_partfun1(k2_numbers)),B) = k3_xcmplx_0(A,B) ) ) )).
fof(l3_scm_halt,axiom,( k9_xtuple_0(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))) = k2_xboole_0(k4_scmfsa_m(k4_scmfsa_2(k5_numbers)),k1_tarski(k4_struct_0(k1_scmfsa_2))) )).
fof(l3_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A) = k5_numbers => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v1_int_1(D) => ( r1_tarski(k1_scmfsa_7(C,D),B) => r1_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A) ) ) ) ) ) ) )).
fof(l3_scmfsa_x,axiom,( k4_card_1(k4_compos_1(k1_scmfsa_2)) = 1 )).
fof(l3_scmpds_i,axiom,( r2_hidden(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k1_scmpds_i) )).
fof(l3_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k6_subset_1(u1_struct_0(k1_scmring2(A)),k1_tarski(k4_ordinal1)) = k2_ami_2 ) )).
fof(l3_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => r1_tarski(k61_valued_1(A,1),k2_scmpds_8(B,C,A)) ) ) ) )).
fof(l3_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C))) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C))) ) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,C)) ) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,C)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) ) )).
fof(l3_series_2,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(A,3) = k3_xcmplx_0(k1_newton(A,2),A) ) )).
fof(l3_series_3,axiom,( k11_newton(2,3) = 8 )).
fof(l3_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(k2_xcmplx_0(k1_newton(k7_xcmplx_0(1,3),k1_nat_1(A,1)),k11_newton(3,k1_nat_1(A,1))),2) = k2_xcmplx_0(k2_xcmplx_0(k1_newton(k7_xcmplx_0(1,9),k1_nat_1(A,1)),k11_newton(9,k1_nat_1(A,1))),2) ) )).
fof(l3_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,A),k7_xcmplx_0(1,B)),k7_xcmplx_0(1,C)) = k7_xcmplx_0(1,k3_xcmplx_0(k3_xcmplx_0(A,B),C)) ) ) ) )).
fof(l3_sin_cos,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l3_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r2_hidden(A,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) & r1_xxreal_0(k1_funct_1(k16_sin_cos,A),k5_numbers) ) ) )).
fof(l3_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( k6_xcmplx_0(k1_square_1(k4_sin_cos2(A)),k1_square_1(k2_sin_cos2(A))) = 1 & k6_xcmplx_0(k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(A)),k3_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(A))) = 1 ) ) )).
fof(l3_sin_cos9,axiom,( r2_fdiff_1(k26_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l3_sincos10,axiom,( r1_tarski(k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos),k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos))) )).
fof(l3_srings_1,axiom,( k1_partit1(k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(l3_symsp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_tarski(k5_numbers)) => ! [B] : ( m1_subset_1(B,k1_tarski(k5_numbers)) => k4_binop_1(k1_tarski(k5_numbers),c3__symsp_1,A,B) = c2__symsp_1 ) ) )).
fof(l3_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ( ( v1_tops_3(B,A) & v1_tops_1(C,A) ) | ( v1_tops_1(B,A) & v1_tops_3(C,A) ) ) & r1_xboole_0(B,C) ) ) ) ) )).
fof(l3_topalg_2,axiom,( u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)) = k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) )).
fof(l3_topalg_5,axiom,( r1_tarski(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(k5_topmetr)) )).
fof(l3_topgen_4,axiom,( ! [A] : ( v4_card_3(A) <=> ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k3_numbers & r1_tarski(A,k10_xtuple_0(B)) ) ) )).
fof(l3_topreal2,axiom,( k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) = k1_xboole_0 )).
fof(l3_toprealb,axiom,( v1_xreal_0(1) & v2_xxreal_0(1) )).
fof(l3_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_aff_1(A,B,C,D) & B != C & B != D & C != D & ~ r1_aff_1(A,B,C,E) & r1_aff_1(A,B,C,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_aff_1(A,E,F,G) & E != G & F != G ) ) ) ) ) ) ) ) ) )).
fof(l3_trees_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),A) => ( r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) & r2_tarski(k1_funct_1(B,k1_nat_1(A,1)),k10_xtuple_0(B)) ) ) ) ) )).
fof(l3_uniroots,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(C,B) => k5_relat_1(k5_relat_1(A,k2_finseq_1(B)),k2_finseq_1(C)) = k5_relat_1(A,k2_finseq_1(C)) ) ) ) ) )).
fof(l3_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,k1_yellow_1(k7_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) => ( C = k3_tarski(B) => r2_lattice3(k1_yellow_1(k7_waybel_0(A)),B,C) ) ) ) ) )).
fof(l3_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_relat_2(A) <=> ! [B] : ! [C] : ( ( r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(C,B),A) ) => B = C ) ) ) )).
fof(l3_xcmplx_0,axiom,( r2_tarski(k5_numbers,k4_ordinal1) )).
fof(l3_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ ( ~ ( r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2) & ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = C & B = D & r1_arytm_2(C,D) ) ) ) & ~ ( r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & r2_hidden(B,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) & ? [C] : ( m1_subset_1(C,k2_arytm_2) & ? [D] : ( m1_subset_1(D,k2_arytm_2) & A = k4_tarski(k5_numbers,C) & B = k4_tarski(k5_numbers,D) & r1_arytm_2(D,C) ) ) ) & ~ ( r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) ) ) => r1_xxreal_0(A,B) ) ) ) )).
fof(l3_xreal_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( A = C & B = D ) => k1_arytm_0(A,B) = k2_xcmplx_0(C,D) ) ) ) ) ) )).
fof(l3_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ( k1_tarski(A) = k2_tarski(B,C) => B = C ) )).
fof(l3_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v2_zf_lang(A) => k1_zf_model(A) = k2_tarski(k17_zf_lang(A),k18_zf_lang(A)) ) & ( v3_zf_lang(A) => k1_zf_model(A) = k2_tarski(k17_zf_lang(A),k18_zf_lang(A)) ) & ( v4_zf_lang(A) => k1_zf_model(A) = k1_zf_model(k19_zf_lang(A)) ) & ( v5_zf_lang(A) => ! [B] : ! [C] : ( ( B = k1_zf_model(k20_zf_lang(A)) & C = k1_zf_model(k21_zf_lang(A)) ) => k1_zf_model(A) = k3_tarski(k2_tarski(B,C)) ) ) & ( v6_zf_lang(A) => k1_zf_model(A) = k6_subset_1(k1_zf_model(k23_zf_lang(A)),k1_tarski(k22_zf_lang(A))) ) ) ) )).
fof(l3_zfmisc_1,axiom,( ! [A] : ! [B] : ( r1_tarski(B,k1_tarski(A)) <=> ( B = k1_xboole_0 | B = k1_tarski(A) ) ) )).
fof(l3_zmodul04,axiom,( ! [A] : ! [B] : ( ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ! [E] : C != k4_tarski(D,E) ) & ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ! [E] : C != k4_tarski(D,E) ) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),A) <=> r2_hidden(k4_tarski(C,D),B) ) ) => A = B ) )).
fof(l40_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => k6_algstr_0(k2_algstr_1,A,k4_struct_0(k2_algstr_1)) = k4_struct_0(k2_algstr_1) ) )).
fof(l40_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,C),D),k3_rlvect_1(A,k3_rlvect_1(A,E,G),F)) = k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,G)),k3_rlvect_1(A,D,F)) ) ) ) ) ) ) ) )).
fof(l40_arytm_3,axiom,( r2_hidden(k4_tarski(1,1),a_0_0_arytm_3) )).
fof(l40_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(A,B) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,D)) ) ) ) ) ) )).
fof(l40_binop_2,axiom,( m1_subset_1(1,k3_numbers) )).
fof(l40_cayldick,axiom,( k8_group_1(k4_cayldick(k3_cayldick),k5_cayldick(k3_cayldick,k4_struct_0(k3_cayldick),k5_struct_0(k3_cayldick)),k5_cayldick(k3_cayldick,k5_struct_0(k3_cayldick),k4_struct_0(k3_cayldick))) = k5_cayldick(k3_cayldick,k4_struct_0(k3_cayldick),k8_group_1(k3_cayldick,k2_cayldick(k3_cayldick,k5_struct_0(k3_cayldick)),k5_struct_0(k3_cayldick))) )).
fof(l40_cfunct_1,axiom,( k5_xcmplx_0(k4_xcmplx_0(k6_complex1)) = k4_xcmplx_0(k6_complex1) )).
fof(l40_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lopban_4(A,B,C) => k6_algstr_0(A,k1_clopban3(A,k1_clopban4(A,B)),k1_clopban3(A,k1_clopban4(A,C))) = k1_clopban3(A,k1_clopban4(A,k3_rlvect_1(A,B,C))) ) ) ) ) )).
fof(l40_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_pcomps_1(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => k1_card_1(C) = 1 ) ) ) => v1_finset_1(B) ) ) => v8_compl_sp(A) ) ) )).
fof(l40_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m2_rlvect_2(E,A,k8_domain_1(u1_struct_0(A),B,C,D)) => ~ ( B != C & C != D & D != B & k6_rlvect_2(A,E) != k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k1_funct_1(E,B)),k1_rlvect_1(A,C,k1_funct_1(E,C))),k1_rlvect_1(A,D,k1_funct_1(E,D))) ) ) ) ) ) ) )).
fof(l40_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(a_2_0_cqc_the1(A,B),k3_cqc_lang(A)) ) ) )).
fof(l40_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => ( r3_cqc_the1(A,D,k7_cqc_lang(A,B,C)) => ( r3_cqc_the1(A,D,B) & r3_cqc_the1(A,D,C) ) ) ) ) ) ) )).
fof(l40_euclid_7,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l40_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(5),1) )).
fof(l40_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => r1_tarski(k24_fomodel2(C,A),k24_fomodel2(C,k2_xcmplx_0(A,B))) ) ) ) )).
fof(l40_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_funct_2(k4_finseq_2(B,A),k8_eqrel_1(k4_finseq_2(B,A),k13_fomodel3(A,C,B)),k17_fomodel3(k4_finseq_2(B,A),k13_fomodel3(A,C,B)),k1_partfun1(k4_finseq_2(B,A),k4_finseq_2(B,k8_eqrel_1(A,C)),k4_finseq_2(B,k8_eqrel_1(A,C)),k8_eqrel_1(k4_finseq_2(B,A),k13_fomodel3(A,C,B)),k8_fomodel3(A,k8_eqrel_1(A,C),k17_fomodel3(A,C),B),k19_fomodel3(A,B,C))) ) ) ) )).
fof(l40_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ! [G] : ( v2_fomodel4(G,D) => ! [H] : ( v2_fomodel4(H,D) => ( ( v7_fomodel4(E,D) & v7_fomodel4(k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),E,F),D) & r1_tarski(H,k1_funct_1(k8_funct_7(k4_fomodel4(D,E),A),G)) & r1_tarski(C,k1_funct_1(k8_funct_7(k4_fomodel4(D,F),B),H)) ) => r1_tarski(C,k1_funct_1(k8_funct_7(k4_fomodel4(D,k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),E,F)),k2_xcmplx_0(A,B)),G)) ) ) ) ) ) ) ) ) )).
fof(l40_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k27_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(l40_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) & r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,B)) & r2_tarski(k1_nat_1(C,2),k1_relset_1(k4_ordinal1,B)) ) ) ) ) ) )).
fof(l40_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ( r3_lattices(k5_substlat(A,B),C,D) => ! [E] : ~ ( r2_tarski(E,C) & ! [F] : ~ ( r2_tarski(F,D) & r1_tarski(F,E) ) ) ) ) ) ) )).
fof(l40_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(l40_jgraph_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k6_xcmplx_0(k6_xcmplx_0(A,C),k6_xcmplx_0(B,D)),k6_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A,B),4),k4_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A,B),4)))) => r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(A,B),2),k6_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(l40_jordan1b,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(B,k3_finseq_1(k1_jordan8(A,D))) & r1_tarski(k3_goboard5(k1_jordan8(A,D),B,C),k1_jordan2c(2,A)) & C = k5_numbers ) ) ) ) ) )).
fof(l40_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,k2_lattices(A,B,C),B) = B => k2_lattices(A,B,C) = k2_lattices(A,C,B) ) ) ) ) )).
fof(l40_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_ideal_1(k3_lpspace2(A,B,C,D),k2_lpspace2(A,B,C,D)) & v1_lpspace1(k3_lpspace2(A,B,C,D),k2_lpspace2(A,B,C,D)) ) ) ) ) ) )).
fof(l40_matrix_9,axiom,( k3_finseq_4(k4_ordinal1,2,3,1) != k3_finseq_4(k4_ordinal1,2,1,3) & k3_finseq_4(k4_ordinal1,2,1,3) != k3_finseq_4(k4_ordinal1,3,1,2) )).
fof(l40_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v7_ordinal1(F) => ( v3_mazurulm(C,A,B) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(F,k1_newton(2,G)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,k1_rlvect_1(A,D,k3_xxreal_3(1,k6_xxreal_3(F,k1_newton(2,G)))),k1_rlvect_1(A,E,k6_xxreal_3(F,k1_newton(2,G))))) = k3_rlvect_1(B,k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_xxreal_3(1,k6_xxreal_3(F,k1_newton(2,G)))),k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k6_xxreal_3(F,k1_newton(2,G)))) ) ) ) ) ) ) ) ) ) )).
fof(l40_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_connsp_1(A,B,C) & ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) )).
fof(l40_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v6_modelc_1(A) => ( ~ v2_modelc_1(A) & ~ v4_modelc_1(A) & ~ v3_modelc_1(A) & ~ v5_modelc_1(A) & ~ v7_modelc_1(A) ) ) ) )).
fof(l40_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_modelc_2(A) => ( ~ v2_modelc_2(A) & ~ v3_modelc_2(A) & ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v6_modelc_2(A) & ~ v8_modelc_2(A) ) ) ) )).
fof(l40_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ( ( r1_nattra_1(A,B,C,D) & v1_nattra_1(E,A,B,C,D) ) => r1_nattra_1(A,B,D,C) ) ) ) ) ) ) )).
fof(l40_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k5_ordinal1) & ~ r1_xxreal_0(A,B) & ~ r1_xxreal_0(k6_xcmplx_0(k1_newton(A,k2_xcmplx_0(C,1)),k1_newton(B,k2_xcmplx_0(C,1))),k3_xcmplx_0(k6_xcmplx_0(k1_newton(A,C),k1_newton(B,C)),k2_xcmplx_0(A,B))) ) ) ) ) )).
fof(l40_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_o_ring_1(B,A) => v10_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l40_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_nat_d(k1_newton(2,A),k1_newton(2,B)) => r1_xxreal_0(A,B) ) ) ) )).
fof(l40_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k2_binom(A,B,C) = k5_struct_0(A) => ( B = k4_struct_0(A) | k2_binom(A,k9_algstr_0(A,B),C) = k5_struct_0(A) ) ) ) ) ) )).
fof(l40_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => v2_poset_1(k8_poset_1(A,B,C),A,B) ) ) ) )).
fof(l40_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) ) => ( k4_qc_lang3(A,B,k12_qc_lang1(A)) = k1_xboole_0 & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v2_qc_lang1(C,A) => k4_qc_lang3(A,B,C) = k1_qc_lang3(A,k17_qc_lang1(A,C),B) ) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v3_qc_lang1(C,A) => k4_qc_lang3(A,B,C) = k4_qc_lang3(A,B,k18_qc_lang1(A,C)) ) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v4_qc_lang1(C,A) => k4_qc_lang3(A,B,C) = k4_subset_1(B,k4_qc_lang3(A,B,k19_qc_lang1(A,C)),k4_qc_lang3(A,B,k20_qc_lang1(A,C))) ) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v5_qc_lang1(C,A) => k4_qc_lang3(A,B,C) = k4_qc_lang3(A,B,k22_qc_lang1(A,C)) ) ) ) ) ) )).
fof(l40_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v4_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => ! [C] : ( m1_ratfunc1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = k3_ratfunc1(A,k12_polynom3(A,D,k4_ratfunc1(A,C)),k12_polynom3(A,D,k5_ratfunc1(A,C))) & v5_ratfunc1(C,A) ) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) => ~ ( D = k3_group_4(k13_polynom3(A),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),G) & k1_funct_1(E,F) = k3_hurwitz(A,G,1) ) ) ) ) ) ) | ! [E] : ( m1_ratfunc1(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & ~ v1_ratfunc1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = k3_ratfunc1(A,k12_polynom3(A,F,k4_ratfunc1(A,E)),k12_polynom3(A,F,k5_ratfunc1(A,E))) & v5_ratfunc1(E,A) ) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(k13_polynom3(A))) => ~ ( F = k3_group_4(k13_polynom3(A),G) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),I) & k1_funct_1(G,H) = k3_hurwitz(A,I,1) ) ) ) ) ) ) | C = E ) ) ) ) ) ) ) ) ) ) )).
fof(l40_revrot_1,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & ~ v1_sprect_2(A) & ~ v1_sprect_2(k1_goboard9(A)) ) ) )).
fof(l40_ring_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_int_3)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_int_3)) => ( ( A = C & B = D ) => ( A = k5_numbers | ( r1_int_1(A,B) <=> r2_gcd_1(k1_int_3,C,D) ) ) ) ) ) ) ) )).
fof(l40_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ( m1_rlsub_1(B,C) => u1_struct_0(k1_rlsub_2(A,C,k2_rlsub_2(A,B,D))) = u1_struct_0(k2_rlsub_2(A,k1_rlsub_2(A,B,C),k1_rlsub_2(A,C,D))) ) ) ) ) ) )).
fof(l40_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_algstr_0(A,k1_algstr_0(A,B,C)) = k1_algstr_0(A,k4_algstr_0(A,C),k4_algstr_0(A,B)) ) ) ) )).
fof(l40_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => ( m1_rmod_2(C,A,D) => u1_struct_0(k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E))) = u1_struct_0(k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E))) ) ) ) ) ) ) )).
fof(l40_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => ( m1_rusub_1(B,C) => u1_struct_0(k1_rusub_2(A,C,k2_rusub_2(A,B,D))) = u1_struct_0(k2_rusub_2(A,k1_rusub_2(A,B,C),k1_rusub_2(A,C,D))) ) ) ) ) ) )).
fof(l40_scmbsort,axiom,( k4_scmfsa_2(1) != k4_scmfsa_2(4) )).
fof(l40_scmfsa_x,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( v7_ordinal1(B) => k10_compos_1(k1_scmfsa_2,k7_compos_1(k1_scmfsa_2,A,k1_scmfsa8a(B))) = k7_compos_1(k1_scmfsa_2,A,k11_compos_1(k1_scmfsa_2,k11_scmfsa_2(B))) ) ) )).
fof(l40_scmisort,axiom,( ~ r4_scmfsa7b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k4_scmfsa_2(k1_nat_1(k5_numbers,1))) )).
fof(l40_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ r1_xxreal_0(k3_square_1(k2_xcmplx_0(k1_square_1(A),1)),A) ) )).
fof(l40_sincos10,axiom,( r1_tarski(k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))),k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))))) )).
fof(l40_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( v3_topreal1(A) => v3_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(l40_srings_2,axiom,( k3_xboole_0(k1_enumset1(2,3,4),k1_tarski(2)) = k1_tarski(2) )).
fof(l40_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [D] : ( m2_subset_1(D,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [E] : ( m2_subset_1(E,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => k1_binop_1(u1_lattices(k5_substlat(A,B)),C,k1_binop_1(u2_lattices(k5_substlat(A,B)),D,E)) = k1_binop_1(u2_lattices(k5_substlat(A,B)),k1_binop_1(u1_lattices(k5_substlat(A,B)),C,D),k1_binop_1(u1_lattices(k5_substlat(A,B)),C,E)) ) ) ) )).
fof(l40_taylor_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,B)) & r1_taylor_1(B,A,C) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & r1_tarski(k1_rcomp_1(D,E),C) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,C),A),k1_rcomp_1(D,E))) & r1_taylor_1(B,k1_nat_1(A,1),k2_rcomp_1(D,E)) & ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( k1_relset_1(k1_numbers,F) = C & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,C) => k1_funct_1(F,G) = k6_xcmplx_0(k1_funct_1(B,E),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(B,C,G,E)),A)) ) ) & k1_funct_1(F,E) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(D,E))) & r2_fdiff_1(F,k2_rcomp_1(D,E)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k2_rcomp_1(D,E)) => k1_fdiff_1(F,G) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,k2_rcomp_1(D,E)),k1_nat_1(A,1)),G),k1_newton(k6_xcmplx_0(E,G),A)),k2_newton(A))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l40_tex_2,axiom,( ! [A] : ! [B] : ~ ( r1_tarski(A,B) & A != B & k6_subset_1(B,A) = k1_xboole_0 ) )).
fof(l40_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) => ! [D] : ( m1_rcomp_3(D,A,B,C) => ! [E] : ( m2_rcomp_3(E,A,B,C,D) => ~ ( m1_setfam_1(C,u1_struct_0(k4_topmetr(A,B))) & v1_tops_2(C,k4_topmetr(A,B)) & v1_rcomp_3(C,k4_topmetr(A,B)) & r1_xxreal_0(A,B) & v1_xboole_0(E) ) ) ) ) ) ) )).
fof(l40_turing_1,axiom,( r2_tarski(k5_numbers,u1_turing_1(k13_turing_1)) & r2_tarski(1,u1_turing_1(k13_turing_1)) )).
fof(l40_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => v4_vectsp_2(k3_vectsp_2(A),A) ) )).
fof(l40_waybel19,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_waybel11(C,A) ) ) => v3_waybel11(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l40_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ( u1_struct_0(A) = u1_struct_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v1_yellow_6(C,A) & l1_waybel_0(C,A) ) => ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v1_yellow_6(C,B) & l1_waybel_0(C,B) ) ) ) ) ) )).
fof(l40_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k13_zmodul02(A,B,k1_zmodul01(B,D,k5_int_1(C,A))) = k13_zmodul02(A,B,k1_zmodul01(B,D,C)) ) ) ) ) )).
fof(l41_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => k6_algstr_0(k2_algstr_1,k4_struct_0(k2_algstr_1),A) = k4_struct_0(k2_algstr_1) ) )).
fof(l41_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ! [M] : ( v1_xreal_0(M) => ( ( D = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k6_xcmplx_0(k3_xcmplx_0(J,K),k3_xcmplx_0(H,I))),k1_rlvect_1(A,C,k3_xcmplx_0(k3_xcmplx_0(H,J),k6_xcmplx_0(K,I)))),k1_rlvect_1(A,F,k3_xcmplx_0(k3_xcmplx_0(I,K),k6_xcmplx_0(J,H)))) & E = k3_rlvect_1(A,k3_rlvect_1(A,B,k1_rlvect_1(A,C,J)),k1_rlvect_1(A,F,K)) & G = k3_rlvect_1(A,k3_rlvect_1(A,B,k1_rlvect_1(A,C,H)),k1_rlvect_1(A,F,I)) & k2_xcmplx_0(L,M) = k6_xcmplx_0(k3_xcmplx_0(H,I),k3_xcmplx_0(J,K)) & k2_xcmplx_0(k3_xcmplx_0(L,J),k3_xcmplx_0(M,H)) = k3_xcmplx_0(k3_xcmplx_0(H,J),k6_xcmplx_0(I,K)) & k2_xcmplx_0(k3_xcmplx_0(L,K),k3_xcmplx_0(M,I)) = k3_xcmplx_0(k3_xcmplx_0(I,K),k6_xcmplx_0(H,J)) ) => k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,D,1),k1_rlvect_1(A,E,L)),k1_rlvect_1(A,G,M)) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l41_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => r1_tarski(k5_arytm_2(A,k5_arytm_2(B,C)),k5_arytm_2(k5_arytm_2(A,B),C)) ) ) ) )).
fof(l41_arytm_3,axiom,( ~ v1_xboole_0(a_0_0_arytm_3) )).
fof(l41_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_2(A,B,C,k5_numbers) = k1_bcialg_1(A,B,k6_bcialg_4(A,C,k5_numbers)) ) ) ) )).
fof(l41_binop_2,axiom,( r3_binop_1(k3_numbers,c6__binop_2,k17_binop_2) )).
fof(l41_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( k2_cat_1(A,D,E) != k1_xboole_0 & k2_cat_1(A,E,F) != k1_xboole_0 & ~ ! [G] : ( m1_cat_1(G,A,D,E) => ! [H] : ( m1_cat_1(H,A,E,F) => k9_cat_3(A,D,F,B,C,k5_cat_1(A,D,E,F,G,H)) = k5_cat_1(B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E),k8_cat_1(A,B,C,F),k9_cat_3(A,D,E,B,C,G),k9_cat_3(A,E,F,B,C,H)) ) ) ) ) ) ) ) ) ) )).
fof(l41_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_rlvect_2(E,A) => ( ( v2_convex1(E,A) & k3_rlvect_2(A,E) = k8_domain_1(u1_struct_0(A),B,C,D) ) => ( B = C | C = D | D = B | ( k2_xcmplx_0(k2_xcmplx_0(k1_funct_1(E,B),k1_funct_1(E,C)),k1_funct_1(E,D)) = 1 & r1_xxreal_0(k5_numbers,k1_funct_1(E,B)) & r1_xxreal_0(k5_numbers,k1_funct_1(E,C)) & r1_xxreal_0(k5_numbers,k1_funct_1(E,D)) & k6_rlvect_2(A,E) = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k1_funct_1(E,B)),k1_rlvect_1(A,C,k1_funct_1(E,C))),k1_rlvect_1(A,D,k1_funct_1(E,D))) ) ) ) ) ) ) ) ) )).
fof(l41_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v3_dblseq_1(A) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => v3_dblseq_1(B) ) ) ) )).
fof(l41_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( k4_euclid_3(A,B,C) = k4_euclid_3(D,E,F) & k4_euclid_3(C,A,B) = k4_euclid_3(F,D,E) ) => ( C = B | C = A | B = A | E = F | E = D | F = D | k4_euclid_3(A,B,C) = k28_sin_cos | k4_euclid_3(B,C,A) = k28_sin_cos | k4_euclid_3(C,A,B) = k28_sin_cos | k4_euclid_3(D,E,F) = k28_sin_cos | k4_euclid_3(E,F,D) = k28_sin_cos | k4_euclid_3(F,D,E) = k28_sin_cos | k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,B)),k12_euclid(k5_algstr_0(k15_euclid(2),D,F))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,C)),k12_euclid(k5_algstr_0(k15_euclid(2),F,E))) ) ) ) ) ) ) ) ) )).
fof(l41_fib_num4,axiom,( k6_xcmplx_0(1,k3_square_1(5)) != k5_numbers )).
fof(l41_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r2_funct_2(k6_subset_1(k3_finseq_2(k3_finseq_2(A)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k17_funct_3(k3_finseq_2(k3_finseq_2(A)),k3_finseq_2(A),k9_fomodel0(A),k6_subset_1(k3_finseq_2(k3_finseq_2(A)),k1_tarski(k1_xboole_0))),k6_fomodel0(k3_finseq_2(A),k11_monoid_0(A))) ) )).
fof(l41_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k24_fomodel2(A,k5_numbers) = k32_fomodel1(A) ) )).
fof(l41_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( ( v1_partfun1(E,B) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(C,A),B) & v1_fomodel3(F,k13_fomodel3(A,D,C),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,A),B))) ) => r2_relset_1(k4_finseq_2(C,k8_eqrel_1(A,D)),k8_eqrel_1(B,E),k1_partfun1(k4_finseq_2(C,k8_eqrel_1(A,D)),k8_eqrel_1(k4_finseq_2(C,A),k13_fomodel3(A,D,C)),k8_eqrel_1(k4_finseq_2(C,A),k13_fomodel3(A,D,C)),k8_eqrel_1(B,E),k19_fomodel3(A,C,D),k16_fomodel3(k4_finseq_2(C,A),B,k13_fomodel3(A,D,C),E,F)),k4_relset_1(k4_finseq_2(C,k8_eqrel_1(A,D)),k4_finseq_2(C,A),k4_finseq_2(C,A),k8_eqrel_1(B,E),k8_fomodel3(k8_eqrel_1(A,D),A,k3_relset_1(A,k8_eqrel_1(A,D),k17_fomodel3(A,D)),C),k1_partfun1(k4_finseq_2(C,A),B,B,k8_eqrel_1(B,E),F,k17_fomodel3(B,E)))) ) ) ) ) ) ) )).
fof(l41_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ! [G] : ! [H] : ( ( v7_fomodel4(E,D) & v7_fomodel4(k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),E,F),D) & v5_fomodel4(G,A,D,E,C) & v5_fomodel4(H,B,D,F,k1_tarski(G)) ) => v5_fomodel4(H,k2_xcmplx_0(A,B),D,k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))),E,F),C) ) ) ) ) ) ) )).
fof(l41_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( v1_glib_001(k1_glib_001(A,B),A) & v2_glib_001(k1_glib_001(A,B),A) & v3_glib_001(k1_glib_001(A,B),A) & v4_glib_001(k1_glib_001(A,B),A) & v5_glib_001(k1_glib_001(A,B),A) ) ) ) )).
fof(l41_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [F] : ( m2_ideal_1(F,k12_polynom1(A,C),E) => ( r2_groeb_2(A,C,D,E,F) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k4_finseq_1(F)) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(I,A,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( k1_funct_1(F,H) = k10_polynom1(A,C,I,J) & r2_tarski(J,E) ) => k4_polynom1(A,C,k10_polynom1(A,C,I,J),G) = k4_struct_0(C) ) ) ) ) ) => k4_polynom1(A,C,D,G) = k4_struct_0(C) ) ) ) ) ) ) ) ) ) )).
fof(l41_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => r1_struct_0(C,k1_group_1(B)) ) ) )).
fof(l41_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ? [D] : ( m1_subset_1(D,u1_struct_0(k11_normform(A))) & r2_tarski(D,k10_heyting1(A,C)) & k10_normform(A,k3_heyting1(A,D),k2_heyting1(A,B)) = k1_xboole_0 & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ( r2_tarski(E,k3_funct_2(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),k11_heyting1(A,C),D)) => r2_tarski(k1_normform(k5_finsub_1(A),k5_finsub_1(A),E,B),k7_normform(A)) ) ) ) ) ) )).
fof(l41_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r3_pua2mss1(B,A,D,E) => ! [F] : ( ( v4_msualg_1(F,B) & l3_msualg_1(F,B) ) => ( F = k1_instalg1(B,A,C,D,E) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( r1_rewrite1(k3_msualg_6(B),G,H) => ( r1_rewrite1(k3_msualg_6(A),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,H)) & ! [I] : ( m2_msualg_6(I,B,F,G,H) => m2_msualg_6(I,A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,H)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l41_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & r1_tarski(k2_rcomp_1(A,B),k9_xtuple_0(D)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k2_rcomp_1(A,B)) => k1_funct_1(D,E) = k4_integra5(A,E,C) ) ) ) ) ) ) )).
fof(l41_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) )).
fof(l41_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,k1_jordan1a(k1_jordan8(A,B))) & r1_xxreal_0(k1_jordan1a(k1_jordan8(A,B)),k3_finseq_1(k1_jordan8(A,B))) ) ) ) )).
fof(l41_jordan1b,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(C,k1_matrix_0(k1_jordan8(A,D))) & r1_tarski(k3_goboard5(k1_jordan8(A,D),B,C),k1_jordan2c(2,A)) & B = k3_finseq_1(k1_jordan8(A,D)) ) ) ) ) ) )).
fof(l41_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,k2_lattices(A,B,C),B) = B => k1_lattices(A,k2_lattices(A,C,B),C) = C ) ) ) ) )).
fof(l41_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k9_xtuple_0(k9_matrlin(A,B,C,D)) = k9_xtuple_0(C) ) ) ) ) )).
fof(l41_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( k1_matrix_0(B) = k1_matrix_0(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k7_matrix_0(u1_struct_0(A),k3_matrix_3(A,B,C),D) = k3_fvsum_1(A,k7_matrix_0(u1_struct_0(A),B,D),k7_matrix_0(u1_struct_0(A),C,D)) ) ) ) ) ) ) )).
fof(l41_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( ( v2_matrtop3(B,A) & v2_matrtop3(C,A) ) => v2_matrtop3(k1_partfun1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),C,B),A) ) ) ) ) )).
fof(l41_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => v6_supinf_2(k55_valued_1(A,k2_numbers,B)) ) ) )).
fof(l41_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v8_modelc_2(A) => ( ~ v2_modelc_2(A) & ~ v3_modelc_2(A) & ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v6_modelc_2(A) & ~ v7_modelc_2(A) ) ) ) )).
fof(l41_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ! [D] : ( m1_subset_1(D,k25_modelc_2(k43_modelc_2)) => ( ( r2_tarski(A,u2_modelc_3(B,C)) & v5_modelc_2(A) ) => ( r8_modelc_2(D,k14_modelc_3(B,C)) <=> ( r8_modelc_2(D,k14_modelc_3(B,k5_modelc_3(B,C,A))) | r8_modelc_2(D,k14_modelc_3(B,k6_modelc_3(B,C,A))) ) ) ) ) ) ) ) )).
fof(l41_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k3_xcmplx_0(k6_xcmplx_0(k1_newton(A,C),k1_newton(B,C)),k2_xcmplx_0(A,B)) = k3_xcmplx_0(k2_xcmplx_0(k1_newton(A,C),k1_newton(B,C)),k6_xcmplx_0(A,B)) => ( r1_xxreal_0(B,k5_ordinal1) | r1_xxreal_0(A,B) | C = 1 ) ) ) ) ) )).
fof(l41_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_o_ring_1(B,A) => v11_o_ring_1(B,A) ) ) ) )).
fof(l41_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k2_binom(A,k9_algstr_0(A,B),C) = k5_struct_0(A) => ( B = k4_struct_0(A) | k2_binom(A,B,C) = k5_struct_0(A) ) ) ) ) ) )).
fof(l41_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => r1_polyred(A,B,C,k8_polynom1(A,C),D) ) ) ) ) )).
fof(l41_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => m1_subset_1(k8_poset_1(A,B,C),u1_struct_0(k6_poset_1(A,B))) ) ) ) )).
fof(l41_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_rltopsp1(B,A) ) ) )).
fof(l41_rlvect_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v1_rlvect_5(B) & l1_rlvect_1(B) ) => ~ ( r1_xxreal_0(A,k1_rlvect_5(B)) & ! [C] : ( ( v1_rlvect_1(C) & m1_rlsub_1(C,B) ) => k1_rlvect_5(C) != A ) ) ) ) )).
fof(l41_rsspace4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(B) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(k1_funct_1(B,D),A) ) ) | r1_xxreal_0(k1_seq_2(B),A) ) ) ) ) )).
fof(l41_scmbsort,axiom,( k4_scmfsa_2(1) != k4_scmfsa_2(5) )).
fof(l41_scmisort,axiom,( ~ r4_scmfsa7b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),k4_scmfsa_2(k1_nat_1(k5_numbers,1))) )).
fof(l41_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k1_square_1(A),1)),k3_square_1(k2_xcmplx_0(k1_square_1(B),1))),k3_xcmplx_0(A,B)),k5_numbers) ) ) )).
fof(l41_sin_cos9,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4))),k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(l41_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( v3_topreal1(A) => v3_topreal1(k2_rfinseq(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(l41_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l41_srings_2,axiom,( k3_xboole_0(k1_enumset1(2,3,4),k1_tarski(3)) = k1_tarski(3) )).
fof(l41_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => k2_lattices(k5_substlat(A,B),C,k1_lattices(k5_substlat(A,B),C,D)) = C ) ) )).
fof(l41_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_vectsp_2(A,B))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_vectsp_2(A,B))) => ( k3_vectsp_1(A,k5_vectsp_2(A,B),C,k3_rlvect_1(k5_vectsp_2(A,B),G,H)) = k3_rlvect_1(k5_vectsp_2(A,B),k3_vectsp_1(A,k5_vectsp_2(A,B),C,G),k3_vectsp_1(A,k5_vectsp_2(A,B),C,H)) & k3_vectsp_1(A,k5_vectsp_2(A,B),k3_rlvect_1(A,C,D),G) = k3_rlvect_1(k5_vectsp_2(A,B),k3_vectsp_1(A,k5_vectsp_2(A,B),C,G),k3_vectsp_1(A,k5_vectsp_2(A,B),D,G)) & k3_vectsp_1(A,k5_vectsp_2(A,B),k6_algstr_0(A,C,D),G) = k3_vectsp_1(A,k5_vectsp_2(A,B),C,k3_vectsp_1(A,k5_vectsp_2(A,B),D,G)) & k3_vectsp_1(A,k5_vectsp_2(A,B),k1_group_1(A),G) = G & k4_vectsp_2(B,k5_vectsp_2(A,B),E,k3_rlvect_1(k5_vectsp_2(A,B),G,H)) = k3_rlvect_1(k5_vectsp_2(A,B),k4_vectsp_2(B,k5_vectsp_2(A,B),E,G),k4_vectsp_2(B,k5_vectsp_2(A,B),E,H)) & k4_vectsp_2(B,k5_vectsp_2(A,B),k3_rlvect_1(B,E,F),G) = k3_rlvect_1(k5_vectsp_2(A,B),k4_vectsp_2(B,k5_vectsp_2(A,B),E,G),k4_vectsp_2(B,k5_vectsp_2(A,B),F,G)) & k4_vectsp_2(B,k5_vectsp_2(A,B),k6_algstr_0(B,F,E),G) = k4_vectsp_2(B,k5_vectsp_2(A,B),E,k4_vectsp_2(B,k5_vectsp_2(A,B),F,G)) & k4_vectsp_2(B,k5_vectsp_2(A,B),k1_group_1(B),G) = G & k3_vectsp_1(A,k5_vectsp_2(A,B),C,k4_vectsp_2(B,k5_vectsp_2(A,B),E,G)) = k4_vectsp_2(B,k5_vectsp_2(A,B),E,k3_vectsp_1(A,k5_vectsp_2(A,B),C,G)) ) ) ) ) ) ) ) ) ) )).
fof(l41_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( m1_vectsp_4(C,A,D) => u1_struct_0(k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,C,E))) = u1_struct_0(k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),k2_vectsp_5(A,B,D,E))) ) ) ) ) ) ) )).
fof(l41_waybel19,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_waybel11(B,A) & v3_waybel11(C,A) ) => v3_waybel11(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(l41_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r1_tarski(k6_domain_1(u1_struct_0(A),k3_yellow_0(A)),B) ) ) )).
fof(l41_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ( u1_struct_0(A) = u1_struct_0(B) => k5_yellow_6(A) = k5_yellow_6(B) ) ) ) )).
fof(l41_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k21_zmodul02(A,k19_zmodul02(A)) = k4_struct_0(A) ) )).
fof(l42_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(C,A) & r2_tarski(B,C) ) => k2_aff_4(A,B,C) = C ) ) ) ) )).
fof(l42_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ( ( F = k3_rlvect_1(A,k3_rlvect_1(A,B,k1_rlvect_1(A,C,G)),k1_rlvect_1(A,E,H)) & D = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,K),k1_rlvect_1(A,C,I)),k1_rlvect_1(A,E,k3_xcmplx_0(K,H))) & K = L & I = k3_xcmplx_0(L,G) ) => D = k1_rlvect_1(A,F,K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l42_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k5_arytm_2(A,k5_arytm_2(B,C)) = k5_arytm_2(k5_arytm_2(A,B),C) ) ) ) )).
fof(l42_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( r2_hidden(k4_tarski(A,B),c2__arytm_3) => ( r1_arytm_3(A,B) & B != k1_xboole_0 ) ) ) ) )).
fof(l42_binop_2,axiom,( m1_subset_1(1,k4_numbers) )).
fof(l42_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_c0sp1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_c0sp1(A))) => ( C = k4_c0sp1(k12_funcsdom(A),k6_c0sp1(A)) => ( k6_algstr_0(k11_c0sp1(A),B,C) = B & k6_algstr_0(k11_c0sp1(A),C,B) = B ) ) ) ) ) )).
fof(l42_card_5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v1_finset_1(B) => ( r1_tarski(B,A) => v1_finset_1(k2_wellord2(k1_wellord2(B))) ) ) ) )).
fof(l42_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k9_cat_3(A,D,D,B,C,k4_cat_1(A,D)) = k4_cat_1(B,k8_cat_1(A,B,C,D)) ) ) ) ) )).
fof(l42_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( l3_msualg_1(B,k3_catalg_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(u3_msualg_1(k3_catalg_1(u1_struct_0(A)),B),k9_catalg_1(u1_struct_0(A),C,D)) = k2_cat_1(A,C,D) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k3_msualg_1(k3_catalg_1(u1_struct_0(A)),k10_catalg_1(u1_struct_0(A),C,D,E),B) = k4_card_3(k2_finseq_4(k1_zfmisc_1(u4_struct_0(A)),k2_cat_1(A,D,E),k2_cat_1(A,C,D))) & k4_msualg_1(k3_catalg_1(u1_struct_0(A)),k10_catalg_1(u1_struct_0(A),C,D,E),B) = k2_cat_1(A,C,E) ) ) ) ) ) ) ) )).
fof(l42_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r2_tarski(k5_cqc_lang(A),a_2_0_cqc_the1(A,B)) ) ) )).
fof(l42_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r5_cqc_the3(A,B,C) & r5_cqc_the3(A,D,E) ) => r1_cqc_the3(A,k7_cqc_lang(A,B,D),k7_cqc_lang(A,C,E)) ) ) ) ) ) ) )).
fof(l42_dtconstr,axiom,( k5_numbers = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,k5_numbers)) )).
fof(l42_fib_num4,axiom,( ~ r1_xxreal_0(k1_square_1(k6_xcmplx_0(1,k3_square_1(5))),k5_numbers) )).
fof(l42_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => k5_relset_1(k3_finseq_2(k3_finseq_2(B)),k3_finseq_2(B),k9_fomodel0(B),k6_subset_1(A,k1_tarski(k1_xboole_0))) = k5_relset_1(k6_subset_1(k3_finseq_2(k3_finseq_2(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(B),k6_fomodel0(k3_finseq_2(B),k11_monoid_0(B)),A) ) )).
fof(l42_fomodel1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v14_fomodel1(C,k2_xcmplx_0(A,1),B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( ~ v14_fomodel1(C,A,B) & ! [D] : ( ( v8_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) ) => ! [E] : ( m2_subset_1(E,k3_finseq_2(k3_finseq_2(k15_fomodel1(B))),k3_fomodel0(k3_finseq_2(k15_fomodel1(B)),k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(B))),k28_fomodel1(B),A))) => ~ ( v3_card_1(E,k1_int_2(k19_fomodel1(B,D))) & C = k7_finseq_1(k12_finseq_1(k1_fomodel1(B),D),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(B))),k3_finseq_2(k15_fomodel1(B)),k21_fomodel1(B),E)) ) ) ) ) ) ) ) )).
fof(l42_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_partfun1(D,B) & v1_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( ( r2_tarski(A,k9_xtuple_0(C)) & v5_relat_1(C,B) ) => v1_fomodel3(C,k3_fomodel2(k1_tarski(A)),D) ) ) ) ) )).
fof(l42_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v13_fomodel1(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( r2_tarski(k1_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),C,D),k8_fomodel4(B,E,A)) <=> v9_fomodel4(k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k31_fomodel2(B)),C),D),B,E,A) ) ) ) ) ) )).
fof(l42_funct_9,axiom,( v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k28_sin_cos) )).
fof(l42_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ( ( r2_tarski(B,k7_glib_000(A)) & r2_tarski(k1_funct_1(k10_glib_000(A),B),C) & r2_tarski(k1_funct_1(k11_glib_000(A),B),C) ) <=> r2_tarski(B,k21_glib_000(A,C)) ) ) )).
fof(l42_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,B,D,C) => k3_finseq_1(k2_glib_001(A,B,D,C)) = 3 ) ) )).
fof(l42_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_group_2(D,A) => ! [E] : ( m1_group_2(E,B) => ( ( D = E & r3_group_10(C,A,D) & m1_group_2(B,A) ) => r3_group_10(C,B,E) ) ) ) ) ) ) )).
fof(l42_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( r1_struct_0(C,D) & r1_struct_0(C,E) ) => r1_struct_0(C,k6_algstr_0(B,D,E)) ) ) ) ) ) )).
fof(l42_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m3_cat_2(C,B) => ! [D] : ( m2_cat_1(D,A,C) => m2_cat_1(D,A,B) ) ) ) ) )).
fof(l42_int_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v1_uproots(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,C) = B & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( D = k4_card_1(k7_polynom5(A,C)) & r1_xxreal_0(D,B) ) ) ) ) ) ) )).
fof(l42_interva1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(k3_setfam_1(B,k2_setfam_1(C,D)),k2_setfam_1(k3_setfam_1(B,C),k3_setfam_1(B,D))) ) ) ) )).
fof(l42_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) )).
fof(l42_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(A,B))) ) => r2_hidden(k4_tarski(k1_jordan1a(k1_jordan8(A,B)),C),k2_matrix_0(k1_jordan8(A,B))) ) ) ) ) )).
fof(l42_jordan1b,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(B,k3_finseq_1(k1_jordan8(A,D))) & r1_tarski(k3_goboard5(k1_jordan8(A,D),B,C),k1_jordan2c(2,A)) & C = k1_matrix_0(k1_jordan8(A,D)) ) ) ) ) ) )).
fof(l42_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,k2_lattices(A,B,C),B) = B <=> k2_lattices(A,B,k1_lattices(A,C,B)) = B ) ) ) ) )).
fof(l42_matrix15,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k5_numbers & k1_matrix_0(C) = k5_numbers ) => B = C ) ) ) ) )).
fof(l42_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ! [F] : ( v7_ordinal1(F) => r1_mesfun6c(A,B,k4_mesfunc5(A,k2_numbers,E,F),C) ) => ( r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,E),D),C) & r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,E),D),C) ) ) ) ) ) ) ) )).
fof(l42_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ! [D] : ( m1_subset_1(D,k25_modelc_2(k43_modelc_2)) => ( ( r2_tarski(A,u2_modelc_3(B,C)) & v7_modelc_2(A) ) => ( r8_modelc_2(D,k14_modelc_3(B,C)) <=> ( r8_modelc_2(D,k14_modelc_3(B,k5_modelc_3(B,C,A))) | r8_modelc_2(D,k14_modelc_3(B,k6_modelc_3(B,C,A))) ) ) ) ) ) ) ) )).
fof(l42_nat_6,axiom,( ~ v1_abian(1) )).
fof(l42_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_nattra_1(E,A,B,C,D) => ( ( r2_nattra_1(A,B,C,D) & v1_nattra_1(E,A,B,C,D) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k2_cat_1(A,F,G) != k1_xboole_0 => ! [H] : ( m1_cat_1(H,A,F,G) => k5_cat_1(B,k8_cat_1(A,B,D,F),k8_cat_1(A,B,D,G),k8_cat_1(A,B,C,G),k9_cat_3(A,F,G,B,D,H),k2_nattra_1(A,B,D,C,k6_nattra_1(A,B,C,D,E),G)) = k5_cat_1(B,k8_cat_1(A,B,D,F),k8_cat_1(A,B,C,F),k8_cat_1(A,B,C,G),k2_nattra_1(A,B,D,C,k6_nattra_1(A,B,C,D,E),F),k9_cat_3(A,F,G,B,C,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(l42_ndiff_4,axiom,( k1_relset_1(k1_euclid(1),k1_pdiff_1(1,1)) = k1_euclid(1) & k1_rvsum_1(k1_pdiff_1(1,1)) = k1_numbers & ! [A] : ( m1_subset_1(A,k1_numbers) => ( k1_funct_1(k1_pdiff_1(1,1),k12_finseq_1(k1_numbers,A)) = A & k1_funct_1(k2_funct_1(k1_pdiff_1(1,1)),A) = k12_finseq_1(k1_numbers,A) ) ) )).
fof(l42_normform,axiom,( ! [A] : r2_tarski(k1_xboole_0,a_1_1_normform(A)) )).
fof(l42_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,k2_oppcat_1(B),A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,k9_oppcat_1(B,A,C)),D)) ) ) ) ) )).
fof(l42_ordinal4,axiom,( k5_ordinal1 = k1_xboole_0 )).
fof(l42_polynom1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_polynom1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k12_polynom1(A,B))) => ( D = k5_struct_0(k12_polynom1(A,B)) => ( k6_algstr_0(k12_polynom1(A,B),C,D) = C & k6_algstr_0(k12_polynom1(A,B),D,C) = C ) ) ) ) ) ) )).
fof(l42_polynom7,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k11_polynom1(A,B,k4_polynom7(A,B,D),C),E) = k8_group_1(B,D,k2_polynom2(A,B,C,E)) ) ) ) ) ) )).
fof(l42_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => ! [D] : ~ ( r2_tarski(D,C) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v2_poset_1(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => D != E ) ) ) ) ) )).
fof(l42_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v4_ratfunc1(B,A) & v5_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => k11_ratfunc1(A,B) = k6_ratfunc1(A,B) ) ) )).
fof(l42_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_rltopsp1(k3_convex1(A,B),A) ) ) )).
fof(l42_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => r1_tarski(u1_struct_0(k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E))),u1_struct_0(k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E)))) ) ) ) ) ) )).
fof(l42_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => k3_rusub_1(A,k4_struct_0(A),B) = u1_struct_0(B) ) ) )).
fof(l42_scmbsort,axiom,( k4_scmfsa_2(1) != k4_scmfsa_2(6) )).
fof(l42_scmfsa10,axiom,( k4_scmfsa_2(k5_numbers) != k4_scmfsa_2(1) )).
fof(l42_scmisort,axiom,( ~ r4_scmfsa7b(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))))),k4_scmfsa_2(k1_nat_1(k5_numbers,1))) )).
fof(l42_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k61_valued_1(A,1),k1_scmpds_7(B,C,D,A)) ) ) ) ) )).
fof(l42_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k4_card_1(k2_scpqsort(D,C)) = 57 & ( r1_xxreal_0(7,C) => ( r2_scmpds_6(k2_scpqsort(D,C),B,A) & ? [E] : ( m2_finseq_1(E,k4_numbers) & ? [F] : ( m2_finseq_1(F,k4_numbers) & k3_finseq_1(E) = D & r1_scpisort(E,B,C) & k3_finseq_1(F) = D & r1_scpisort(F,k6_scmpds_4(k2_scpqsort(D,C),B,A),C) & r2_classes1(E,F) & r3_graph_2(F,1,D) ) ) ) ) ) ) ) ) ) )).
fof(l42_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k2_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1))),k5_numbers) ) ) )).
fof(l42_sin_cos9,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos))),k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)))) )).
fof(l42_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( v3_topreal1(A) => v3_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)) ) ) ) )).
fof(l42_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l42_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & A != B & k6_xcmplx_0(k1_square_1(k3_square_1(A)),k1_square_1(k3_square_1(B))) = k5_numbers ) ) ) )).
fof(l42_srings_2,axiom,( k3_xboole_0(k1_enumset1(2,3,4),k1_tarski(4)) = k1_tarski(4) )).
fof(l42_topreal2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_struct_0(A) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) ) => v2_struct_0(B) ) ) ) ) )).
fof(l42_toprealb,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => r2_borsuk_3(k8_toprealb(A),k7_toprealb(A,C,B)) ) ) ) )).
fof(l42_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k3_zfmisc_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1)))) => ! [B] : ! [C] : ! [D] : ( A = k3_xtuple_0(B,C,D) => ( B = 5 | k8_turing_1(k13_turing_1,A) = k3_xtuple_0(k1_mcart_1(u2_turing_1(k13_turing_1),u1_turing_1(k13_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k13_turing_1,A)),k2_xcmplx_0(k6_turing_1(k13_turing_1,A),k5_turing_1(k13_turing_1,k7_turing_1(k13_turing_1,A))),k4_turing_1(k13_turing_1,k3_mcart_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1)),A),k6_turing_1(k13_turing_1,A),k2_mcart_1(u2_turing_1(k13_turing_1),u1_turing_1(k13_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k13_turing_1,A)))) ) ) ) )).
fof(l42_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_3_waybel17(A,B,C,D)) ) => v22_waybel_0(C,A,B) ) ) ) ) )).
fof(l42_waybel19,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => v3_waybel11(k2_struct_0(A),A) ) )).
fof(l42_waybel29,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,C) ) => k5_waybel11(k3_yellow_3(C,A)) = u1_pre_topc(k2_borsuk_1(D,B)) ) ) ) <=> ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,C) ) => ! [E] : ( ( v4_waybel11(E) & m1_yellow_9(E,k3_yellow_3(C,A)) ) => g1_pre_topc(u1_struct_0(E),u1_pre_topc(E)) = k2_borsuk_1(D,B) ) ) ) ) ) ) )).
fof(l42_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_orders_2(B) => r1_yellow_2(u1_struct_0(A),B,C,C) ) ) ) ) )).
fof(l42_zfmisc_1,axiom,( ! [A] : ! [B] : ( r2_tarski(B,A) => r1_tarski(B,k3_tarski(A)) ) )).
fof(l43_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ~ ( k5_arytm_2(A,B) = k11_arytm_3 & A != k11_arytm_3 & B != k11_arytm_3 ) ) ) )).
fof(l43_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k9_xtuple_0(B) = k1_autalg_1(A) & ! [C] : ( r2_hidden(C,k1_autalg_1(A)) => k1_funct_1(B,C) = k17_funcop_1(k5_numbers,C) ) ) => k10_xtuple_0(B) = k5_autalg_1(k6_msualg_1(A),k9_msualg_1(A)) ) ) ) )).
fof(l43_binop_2,axiom,( r3_binop_1(k4_numbers,c7__binop_2,k22_binop_2) )).
fof(l43_borsuk_7,axiom,( u1_struct_0(k8_toprealb(3)) = k3_topreal9(3,k4_euclid_5(k5_numbers,k5_numbers,k5_numbers),1) )).
fof(l43_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_funcsdom(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_funcsdom(u1_struct_0(A)))) => ( ( r2_tarski(B,k6_c0sp2(A)) & r2_tarski(C,k6_c0sp2(A)) ) => r2_tarski(k3_rlvect_1(k12_funcsdom(u1_struct_0(A)),B,C),k6_c0sp2(A)) ) ) ) ) )).
fof(l43_card_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_wellord2(B,A) => B = A ) ) ) )).
fof(l43_cayldick,axiom,( k2_cayldick(k4_cayldick(k3_cayldick),k5_cayldick(k3_cayldick,k4_struct_0(k3_cayldick),k5_struct_0(k3_cayldick))) = k5_cayldick(k3_cayldick,k2_cayldick(k3_cayldick,k4_struct_0(k3_cayldick)),k4_algstr_0(k3_cayldick,k5_struct_0(k3_cayldick))) )).
fof(l43_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k5_algstr_0(k5_cc0sp2(A),B,C) = k5_algstr_0(k7_cc0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l43_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => r2_tarski(k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),B),B),a_2_0_cqc_the1(A,C)) ) ) ) )).
fof(l43_dtconstr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( A = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,A)) => k1_nat_1(A,1) = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,k1_nat_1(A,1))) ) ) )).
fof(l43_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_funct_1(k4_equation(A),B)) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_pralg_2(E,D,A) => ( ! [F] : ( m1_subset_1(F,D) => r1_equation(A,k5_pralg_2(D,A,E,F),B,C) ) => r1_equation(A,k14_pralg_2(D,A,E),B,C) ) ) ) ) ) ) )).
fof(l43_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( k4_euclid_3(A,B,C) = k4_euclid_3(D,E,F) & k4_euclid_3(C,A,B) = k4_euclid_3(E,F,D) ) => ( C = B | C = A | B = A | D = E | D = F | E = F | k4_euclid_3(A,B,C) = k28_sin_cos | k4_euclid_3(B,C,A) = k28_sin_cos | k4_euclid_3(C,A,B) = k28_sin_cos | k4_euclid_3(D,E,F) = k28_sin_cos | k4_euclid_3(E,F,D) = k28_sin_cos | k4_euclid_3(F,D,E) = k28_sin_cos | k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,C)),k12_euclid(k5_algstr_0(k15_euclid(2),D,F))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,A)),k12_euclid(k5_algstr_0(k15_euclid(2),E,D))) ) ) ) ) ) ) ) ) )).
fof(l43_fib_num4,axiom,( ~ r1_xxreal_0(k2_power(k6_xcmplx_0(1,k3_square_1(5)),2),k5_numbers) )).
fof(l43_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_partfun1(k17_funcop_1(k1_xboole_0,k1_xboole_0),k6_fomodel0(k3_finseq_2(A),k11_monoid_0(A))) ) )).
fof(l43_fomodel1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v14_fomodel1(C,k2_xcmplx_0(A,1),B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ? [D] : ( v8_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) & ? [E] : ( m2_subset_1(E,k3_finseq_2(k3_finseq_2(k15_fomodel1(B))),k3_fomodel0(k3_finseq_2(k15_fomodel1(B)),k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(B))),k28_fomodel1(B),A))) & v3_card_1(E,k1_int_2(k19_fomodel1(B,D))) & C = k7_finseq_1(k12_finseq_1(k1_fomodel1(B),D),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(B))),k3_finseq_2(k15_fomodel1(B)),k21_fomodel1(B),E)) ) ) ) ) ) )).
fof(l43_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_partfun1(A,k8_eqrel_1(A,k3_fomodel2(A)),k10_eqrel_1(A),A,k17_fomodel3(A,k3_fomodel2(A)),k15_fomodel3(A)) = k3_fomodel2(A) ) )).
fof(l43_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v1_fomodel4(B,A) => ( v4_fomodel2(k2_xfamily(B),A) & m2_subset_1(k2_xfamily(B),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) ) )).
fof(l43_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k24_gfacirc1(A,B,C)) & H = k1_funct_1(F,D) & I = k1_funct_1(F,E) ) => ( k1_funct_1(k6_circuit2(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k2_twoscomp)) = k9_margrel1(k8_margrel1(G),I) & k1_funct_1(k6_circuit2(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(E,D),k3_gfacirc1)) = k9_margrel1(I,k8_margrel1(H)) & k1_funct_1(k6_circuit2(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp)) = k9_margrel1(k8_margrel1(H),k8_margrel1(G)) ) ) ) ) ) ) ) ) ) ) )).
fof(l43_funct_9,axiom,( v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k28_sin_cos) )).
fof(l43_fvaluat1,axiom,( ! [A] : ( v1_fvaluat1(A) => ! [B] : ( v1_fvaluat1(B) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k5_numbers,k3_xxreal_3(B,A)) ) ) ) )).
fof(l43_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( B = k3_rlvect_1(A,k1_rlvect_1(A,D,F),k1_rlvect_1(A,E,G)) & C = k3_rlvect_1(A,k1_rlvect_1(A,D,H),k1_rlvect_1(A,E,I)) ) => ( k3_rlvect_1(A,B,C) = k3_rlvect_1(A,k1_rlvect_1(A,D,k2_xcmplx_0(F,H)),k1_rlvect_1(A,E,k2_xcmplx_0(G,I))) & k5_algstr_0(A,B,C) = k3_rlvect_1(A,k1_rlvect_1(A,D,k6_xcmplx_0(F,H)),k1_rlvect_1(A,E,k6_xcmplx_0(G,I))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l43_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k7_glib_000(A) = k21_glib_000(A,k6_glib_000(A)) ) )).
fof(l43_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,B,D,C) => ( k3_glib_001(A,k2_glib_001(A,B,D,C)) = B & k4_glib_001(A,k2_glib_001(A,B,D,C)) = D & r1_glib_001(A,B,D,k2_glib_001(A,B,D,C)) ) ) ) )).
fof(l43_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( A != k5_numbers => r2_int_1(k5_int_1(B,A),B,A) ) ) ) )).
fof(l43_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => k5_group_1(C,D,k2_xcmplx_0(B,A)) = k6_algstr_0(C,k5_group_1(C,D,B),k5_group_1(C,D,A)) ) ) ) ) )).
fof(l43_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_struct_0(C,D) => r1_struct_0(C,k2_group_1(B,D)) ) ) ) ) )).
fof(l43_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ( r2_tarski(D,k13_glib_001(A,k2_helly(A,B,C))) => k9_subset_1(k6_glib_000(A),k9_subset_1(k6_glib_000(A),k13_glib_001(A,k2_helly(A,B,C)),k13_glib_001(A,k2_helly(A,C,D))),k13_glib_001(A,k2_helly(A,D,B))) = k1_tarski(D) ) ) ) ) ) )).
fof(l43_idea_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ( ( B = 2 & r2_tarski(B,k4_finseq_1(A)) ) => k1_recdef_1(k13_idea_1(A),B) = k1_recdef_1(A,3) ) ) ) )).
fof(l43_jgraph_2,axiom,( v4_pre_topc(a_0_5_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_5_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(l43_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(A,B))) ) => r2_hidden(k4_tarski(C,k1_jordan1a(k1_jordan8(A,B))),k2_matrix_0(k1_jordan8(A,B))) ) ) ) ) )).
fof(l43_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) ) => ( B = C | ( r1_xxreal_0(k1_jordan3(A,C),k1_jordan3(A,B)) & ~ ( k1_jordan3(A,B) = k1_jordan3(A,C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_jordan3(A,B)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,B),1)),B,C) ) ) | r1_jordan3(k4_jordan3(A,B,C),B,C) ) ) ) ) ) )).
fof(l43_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_lattices(A,B,k1_lattices(A,C,B)) = B => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(l43_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => r1_tarski(k10_lopclset(A),k1_lopclset(k11_lopclset(A))) ) )).
fof(l43_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v13_vectsp_1(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) ) ) ) ) )).
fof(l43_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ! [D] : ( m1_subset_1(D,k25_modelc_2(k43_modelc_2)) => ( ( r2_tarski(A,u2_modelc_3(B,C)) & v8_modelc_2(A) ) => ( r8_modelc_2(D,k14_modelc_3(B,C)) <=> ( r8_modelc_2(D,k14_modelc_3(B,k5_modelc_3(B,C,A))) | r8_modelc_2(D,k14_modelc_3(B,k6_modelc_3(B,C,A))) ) ) ) ) ) ) ) )).
fof(l43_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ! [D] : ( m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)))) & ? [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,B),H)) & ? [K] : ( m1_subset_1(K,k1_funct_1(u3_msualg_1(A,B),H)) & H = E & ? [L] : ( m1_msualg_6(L,A,B) & I = k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),L,H) ) & r2_hidden(k4_tarski(J,K),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,H)) & F = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,J) & G = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,K) ) ) ) ) ) ) ) ) => ( v4_msualg_6(D,A,B) & r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ( v4_msualg_6(E,A,B) & r2_pboole(u1_struct_0(A),C,E) ) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) ) ) ) )).
fof(l43_nat_6,axiom,( v2_nat_6(3) )).
fof(l43_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_nattra_1(E,A,B,C,D) => ( ( r2_nattra_1(A,B,C,D) & v1_nattra_1(E,A,B,C,D) ) => r2_nattra_1(A,B,D,C) ) ) ) ) ) ) )).
fof(l43_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,k2_oppcat_1(A),B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),k9_oppcat_1(A,B,C),k4_cat_1(A,D)) = k4_cat_1(B,E) ) ) ) ) ) )).
fof(l43_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k7_euclid(3,k1_euclid_8(A,C,E),k1_euclid_8(B,D,F)) = k1_euclid_8(k2_xcmplx_0(A,B),k2_xcmplx_0(C,D),k2_xcmplx_0(E,F)) ) ) ) ) ) ) )).
fof(l43_polynom7,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k11_polynom1(A,B,C,k4_polynom7(A,B,D)),E) = k8_group_1(B,k2_polynom2(A,B,C,E),D) ) ) ) ) ) )).
fof(l43_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( v3_rinfsup2(A) & v8_valued_0(A) ) => ( v7_mesfunc5(A) & v10_mesfunc5(A) & k2_mesfunc5(A) = k2_rinfsup2(A) ) ) ) )).
fof(l43_scmbsort,axiom,( k4_scmfsa_2(2) != k4_scmfsa_2(3) )).
fof(l43_scmfsa10,axiom,( k5_scmfsa_2(k5_numbers) != k4_scmfsa_2(k5_numbers) )).
fof(l43_scmisort,axiom,( v1_scmfsa7b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))))) & v1_scm_halt(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))))) )).
fof(l43_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( r2_tarski(A,B) => r1_tarski(k4_sf_mastr(A),k5_sf_mastr(B)) ) ) )).
fof(l43_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_sin_cos5(k4_xcmplx_0(A)) = k4_xcmplx_0(k1_sin_cos5(A)) ) )).
fof(l43_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_square_1(A),1),k2_xcmplx_0(k1_square_1(A),1)),k4_xcmplx_0(1)) ) ) )).
fof(l43_sin_cos9,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(l43_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l43_srings_2,axiom,( k3_xboole_0(k1_tarski(1),k1_tarski(2)) = k1_xboole_0 )).
fof(l43_topreal2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_struct_0(B) & k1_relset_1(u1_struct_0(A),C) = k2_struct_0(A) ) => v2_struct_0(A) ) ) ) ) )).
fof(l43_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => r1_tarski(u1_struct_0(k1_vectsp_5(A,B,D,k2_vectsp_5(A,B,C,E))),u1_struct_0(k2_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),k1_vectsp_5(A,B,D,E)))) ) ) ) ) ) )).
fof(l43_waybel27,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k5_yellow_1(A,C))) & v22_waybel_0(D,B,k5_yellow_1(A,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k5_yellow_1(A,C))))) ) => ( r2_tarski(D,k9_funct_2(u1_struct_0(B),k9_funct_2(A,u1_struct_0(C)))) & r1_tarski(k10_xtuple_0(k9_funct_6(D)),k9_funct_2(u1_struct_0(B),u1_struct_0(C))) & k9_xtuple_0(k9_funct_6(D)) = A ) ) ) ) ) )).
fof(l43_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) => ( r1_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),B,k8_funcop_1(k1_zfmisc_1(u1_struct_0(A)),u1_struct_0(A),k6_domain_1(u1_struct_0(A),k3_yellow_0(A)))) => v5_orders_3(B,A,k1_yellow_1(k7_waybel_0(A))) ) ) ) )).
fof(l43_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_waybel_5(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_lattice3(A,C,k1_yellow_0(A,B)) = k1_yellow_0(A,a_3_3_waybel_5(A,B,C)) ) ) ) )).
fof(l43_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : k3_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(B,B)),k1_tarski(k4_tarski(B,C))) = k2_tarski(k4_tarski(A,C),k4_tarski(B,C)) )).
fof(l43_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_zmodul01(C,A) => ( u1_struct_0(C) = B => v7_zmodul01(B,A) ) ) ) ) )).
fof(l43_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => v1_zmodul03(B) ) ) )).
fof(l44_arytm_3,axiom,( r1_tarski(k4_ordinal1,k5_arytm_3) )).
fof(l44_binop_2,axiom,( r3_binop_1(k4_ordinal1,1,k24_binop_2) )).
fof(l44_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_funcsdom(u1_struct_0(A)))) => ( r2_tarski(C,k6_c0sp2(A)) => r2_tarski(k1_rlvect_1(k12_funcsdom(u1_struct_0(A)),C,B),k6_c0sp2(A)) ) ) ) ) )).
fof(l44_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_card_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(A),A))) & v2_funct_1(B) ) ) )).
fof(l44_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v10_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( r2_tarski(B,k1_cat_6(A)) => ( ? [C] : ( m1_subset_1(C,k1_cat_6(A)) & r1_cat_6(A,C,B) & v11_cat_6(C,A) ) & ? [C] : ( m1_subset_1(C,k1_cat_6(A)) & r1_cat_6(A,B,C) & v11_cat_6(C,A) ) ) ) ) ) ) )).
fof(l44_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k13_coh_sp(A))) => ! [C] : ( m1_subset_1(C,k3_coh_sp(A)) => ( B = C => ! [D] : ( m1_cat_1(D,k13_coh_sp(A),B,B) => ( D = k8_coh_sp(A,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(k13_coh_sp(A))) => ( ( k2_cat_1(k13_coh_sp(A),B,E) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k13_coh_sp(A),B,E) => k1_cat_1(k13_coh_sp(A),D,F) = F ) ) & ( k2_cat_1(k13_coh_sp(A),E,B) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k13_coh_sp(A),E,B) => k1_cat_1(k13_coh_sp(A),F,D) = F ) ) ) ) ) ) ) ) ) )).
fof(l44_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => r2_tarski(k8_cqc_lang(A,B,k8_cqc_lang(A,k6_cqc_lang(A,B),C)),a_2_0_cqc_the1(A,D)) ) ) ) ) )).
fof(l44_euclid_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => ( k6_euclid(B,k9_euclid(B,C,A)) = k9_euclid(B,C,k4_xcmplx_0(A)) & k6_euclid(B,k9_euclid(B,C,A)) = k9_euclid(B,k6_euclid(B,C),A) ) ) ) ) )).
fof(l44_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l44_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( ( v1_partfun1(E,A) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_fomodel2(F,D,A) & v3_fomodel3(F,D,A,E) ) => k8_nat_1(k9_funct_2(k35_fomodel1(D),k8_eqrel_1(A,E)),k7_fomodel2(D,k8_eqrel_1(A,E),k3_funct_2(A,k8_eqrel_1(A,E),k17_fomodel3(A,E),B),k23_fomodel3(D,A,E,F)),C) = k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(D),A),k7_fomodel2(D,A,B,F),C),k17_fomodel3(A,E)) ) ) ) ) ) ) )).
fof(l44_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ( v9_fomodel4(B,C,D,A) => ( v4_fomodel2(B,C) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) ) ) ) )).
fof(l44_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k24_gfacirc1(A,B,C)) & H = k1_funct_1(F,E) ) => k1_funct_1(k6_circuit2(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k4_gfacirc1)) = k2_binarith(G,k8_margrel1(H)) ) ) ) ) ) ) ) ) )).
fof(l44_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => r1_tarski(k10_xtuple_0(k6_funct_6(A)),k4_card_3(k2_funct_6(A))) ) )).
fof(l44_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(l44_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( B = k3_rlvect_1(A,k1_rlvect_1(A,C,F),k1_rlvect_1(A,D,G)) => k1_rlvect_1(A,B,E) = k3_rlvect_1(A,k1_rlvect_1(A,C,k3_xcmplx_0(E,F)),k1_rlvect_1(A,D,k3_xcmplx_0(E,G))) ) ) ) ) ) ) ) ) )).
fof(l44_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( k3_glib_001(A,B) = k4_glib_001(A,k6_glib_001(A,B)) & k4_glib_001(A,B) = k3_glib_001(A,k6_glib_001(A,B)) ) ) ) )).
fof(l44_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ~ ( A != k5_numbers & ! [C] : ( v7_ordinal1(C) => ~ r2_int_1(C,B,A) ) ) ) ) )).
fof(l44_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k5_group_1(B,C,k1_nat_1(A,1)) = k6_algstr_0(B,k5_group_1(B,C,A),C) & k5_group_1(B,C,k1_nat_1(A,1)) = k6_algstr_0(B,C,k5_group_1(B,C,A)) ) ) ) ) )).
fof(l44_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ! [E] : ( ( v5_glib_001(E,A) & m3_glib_001(E,A) ) => ! [F] : ( ( v5_glib_001(F,A) & m3_glib_001(F,A) ) => ( ( E = k2_helly(A,B,C) & F = k2_helly(A,B,D) ) => ( r1_tarski(E,F) | r1_tarski(F,E) | k9_subset_1(k6_glib_000(A),k9_subset_1(k6_glib_000(A),k13_glib_001(A,E),k13_glib_001(A,k2_helly(A,C,D))),k13_glib_001(A,k2_helly(A,D,B))) = k1_tarski(k1_funct_1(E,k3_finseq_1(k1_helly(E,F)))) ) ) ) ) ) ) ) ) )).
fof(l44_idea_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ( ( B = 3 & r2_tarski(B,k4_finseq_1(A)) ) => k1_recdef_1(k13_idea_1(A),B) = k1_recdef_1(A,2) ) ) ) )).
fof(l44_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) & k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) ) ) ) )).
fof(l44_jgraph_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = a_0_6_jgraph_5 => ( v1_funct_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k9_jordan6(A))) & v1_funct_2(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k9_jordan6(A)),u1_struct_0(k1_pre_topc(k15_euclid(2),k9_jordan6(A))),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & v5_pre_topc(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k9_jordan6(A)),k1_pre_topc(k15_euclid(2),k9_jordan6(A)),k4_topmetr(k4_xcmplx_0(1),1)) & m1_subset_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k9_jordan6(A)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k9_jordan6(A))),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) & v2_funct_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k9_jordan6(A))) & k2_relset_1(k1_numbers,k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k9_jordan6(A))) = k2_struct_0(k4_topmetr(k4_xcmplx_0(1),1)) ) ) ) )).
fof(l44_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(A,k5_numbers) => k3_xcmplx_0(k7_xcmplx_0(C,k1_newton(2,A)),k6_xcmplx_0(k1_jordan1a(k1_jordan8(B,A)),2)) = k7_xcmplx_0(C,2) ) ) ) ) )).
fof(l44_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_lattices(A,B,D) & r1_lattices(A,C,D) ) => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(l44_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => a_5_0_lfuzzy_1(A,B,C,D,E) = a_5_1_lfuzzy_1(A,B,C,D,E) ) ) ) ) ) )).
fof(l44_matrixr2,axiom,( v1_funct_1(k1_finseq_2(k5_numbers)) & v1_funct_2(k1_finseq_2(k5_numbers),k2_finseq_1(k5_numbers),k2_finseq_1(k5_numbers)) & v3_funct_2(k1_finseq_2(k5_numbers),k2_finseq_1(k5_numbers),k2_finseq_1(k5_numbers)) & m1_subset_1(k1_finseq_2(k5_numbers),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k5_numbers),k2_finseq_1(k5_numbers)))) )).
fof(l44_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v1_ringcat1(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_algstr_0(A,D)) = k4_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) )).
fof(l44_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v6_modelc_1(A) => A = k10_modelc_1(k14_modelc_1(A)) ) ) )).
fof(l44_msaterm,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),A) => ( r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) & r2_tarski(k1_funct_1(B,k1_nat_1(A,1)),k10_xtuple_0(B)) ) ) ) ) )).
fof(l44_nat_6,axiom,( v2_nat_6(9) )).
fof(l44_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v12_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l44_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,k2_oppcat_1(B),A) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ( k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,k9_oppcat_1(B,A,C)),k3_graph_1(B,D)) = k4_graph_1(A,k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),D)) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,k9_oppcat_1(B,A,C)),k4_graph_1(B,D)) = k3_graph_1(A,k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),D)) ) ) ) ) ) )).
fof(l44_prepower,axiom,( k5_xcmplx_0(1) = 1 )).
fof(l44_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,k6_xcmplx_0(B,k8_nat_1(k1_numbers,k4_real_3(B),k5_numbers)))),A) = k8_nat_1(k1_numbers,k3_real_3(B),k1_nat_1(A,1)) & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,k6_xcmplx_0(B,k8_nat_1(k1_numbers,k4_real_3(B),k5_numbers)))),A) = k8_nat_1(k1_numbers,k4_real_3(B),k1_nat_1(A,1)) ) ) ) )).
fof(l44_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( v3_rinfsup2(A) & v7_valued_0(A) ) => ( v7_mesfunc5(A) & v10_mesfunc5(A) & k2_mesfunc5(A) = k1_rinfsup2(A) ) ) ) )).
fof(l44_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k4_card_1(B) = k2_xcmplx_0(A,1) => v4_pre_topc(k3_convex1(k15_euclid(A),B),k15_euclid(A)) ) ) ) )).
fof(l44_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => ( m1_rmod_2(C,A,D) => u1_struct_0(k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E))) = u1_struct_0(k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E))) ) ) ) ) ) ) )).
fof(l44_scmbsort,axiom,( k4_scmfsa_2(2) != k4_scmfsa_2(4) )).
fof(l44_scmfsa10,axiom,( k5_scmfsa_2(k5_numbers) != k4_scmfsa_2(1) )).
fof(l44_scmisort,axiom,( ~ v1_xboole_0(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))) & v1_relat_1(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))) & v4_relat_1(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))))),k4_ordinal1) & v5_relat_1(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))))),u1_compos_1(k1_scmfsa_2)) & v1_funct_1(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))) & v1_finset_1(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))) & v1_afinsq_1(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))) & v1_scm_halt(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))) & v1_scmfsa7b(k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))) )).
fof(l44_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ( r2_tarski(A,a_0_1_scmpds_2) => k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 14 ) ) )).
fof(l44_sf_mastr,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k5_sf_mastr(A),k5_sf_mastr(B)) ) )).
fof(l44_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & A != 1 & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k1_square_1(A),1),k6_xcmplx_0(k1_square_1(A),1)),1) & r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k2_xcmplx_0(k1_square_1(A),1),k6_xcmplx_0(k1_square_1(A),1))) ) ) )).
fof(l44_sin_cos9,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)))) )).
fof(l44_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l44_srings_2,axiom,( k3_xboole_0(k1_tarski(1),k1_tarski(3)) = k1_xboole_0 )).
fof(l44_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) => k2_xboole_0(B,k1_seq_4(A)) = B ) ) ) )).
fof(l44_taylor_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r1_tarski(B,k1_relset_1(k1_numbers,A)) => ! [C] : ( v7_ordinal1(C) => ( r1_taylor_1(A,C,B) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r1_tarski(k1_rcomp_1(D,E),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),C),k1_rcomp_1(D,E))) & r1_taylor_1(A,k1_nat_1(C,1),k2_rcomp_1(D,E)) ) => ( r1_xxreal_0(E,D) | ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,F) = B & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,B) => k1_funct_1(F,G) = k6_xcmplx_0(k1_funct_1(A,D),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,G,D)),C)) ) ) ) => ( k1_funct_1(F,D) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(D,E))) & r2_fdiff_1(F,k2_rcomp_1(D,E)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k2_rcomp_1(D,E)) => k1_fdiff_1(F,G) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(D,E)),k1_nat_1(C,1)),G),k1_newton(k6_xcmplx_0(D,G),C)),k2_newton(C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l44_topreal2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_tops_2(C,A,B) ) => ( v2_struct_0(A) <=> v2_struct_0(B) ) ) ) ) )).
fof(l44_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_tops_1(A,B) = k7_subset_1(u1_struct_0(A),k2_pre_topc(A,B),k1_tops_1(A,B)) ) ) )).
fof(l44_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ! [C] : ( m1_subset_1(C,u2_turing_1(A)) => ! [D] : ( m1_subset_1(D,k4_numbers) => ! [E] : ( m2_funct_2(E,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( G = D & m1_subset_1(1,u1_turing_1(A)) & B = k4_domain_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),C,D,E) & k1_funct_1(u3_turing_1(A),k1_domain_1(u2_turing_1(A),k4_ordinal1,C,1)) = k4_domain_1(u2_turing_1(A),k4_ordinal1,k4_ordinal1,C,1,1) & ! [H] : ( v1_int_1(H) => ( r1_xxreal_0(G,H) => ( r1_xxreal_0(k1_nat_1(G,F),H) | k1_funct_1(E,H) = 1 ) ) ) ) => ( C = u5_turing_1(A) | k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),F) = k4_domain_1(u2_turing_1(A),k4_ordinal1,k9_funct_2(k4_numbers,u1_turing_1(A)),C,k1_nat_1(G,F),E) ) ) ) ) ) ) ) ) ) )).
fof(l44_waybel29,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v3_waybel_3(k1_yellow_1(k5_waybel11(A))) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,C) ) => k5_waybel11(k3_yellow_3(C,A)) = u1_pre_topc(k2_borsuk_1(D,B)) ) ) ) ) ) )).
fof(l44_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v11_quantal1(B) => ! [C] : ( r2_tarski(C,k2_relset_1(u1_struct_0(A),B)) => k1_funct_1(B,C) = C ) ) ) ) )).
fof(l44_zfmisc_1,axiom,( ! [A] : ! [B] : k3_tarski(k2_tarski(A,B)) = k2_xboole_0(A,B) )).
fof(l44_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => v1_finset_1(k7_relset_1(u1_struct_0(A),k4_numbers,B,C)) ) ) ) )).
fof(l45_analmetr,axiom,( ? [A] : ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_analmetr(A,B,C) ) ) ) )).
fof(l45_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_funcsdom(u1_struct_0(A)))) => ( r2_tarski(B,k6_c0sp2(A)) => r2_tarski(k4_algstr_0(k12_funcsdom(u1_struct_0(A)),B),k6_c0sp2(A)) ) ) ) )).
fof(l45_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v9_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( ( ( r1_cat_6(A,k2_cat_6(A,D,C),B) & r1_cat_6(A,D,C) ) => r1_cat_6(A,C,B) ) & ( ( r1_cat_6(A,D,k2_cat_6(A,C,B)) & r1_cat_6(A,C,B) ) => r1_cat_6(A,D,C) ) & ( ( r1_cat_6(A,C,B) & r1_cat_6(A,D,C) ) => ( r1_cat_6(A,k2_cat_6(A,D,C),B) & r1_cat_6(A,D,k2_cat_6(A,C,B)) ) ) ) ) ) ) ) ) )).
fof(l45_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(A))) => r2_tarski(k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,k6_cqc_lang(A,k7_cqc_lang(A,C,D)),k6_cqc_lang(A,k7_cqc_lang(A,B,D)))),a_2_0_cqc_the1(A,E)) ) ) ) ) ) )).
fof(l45_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ? [C] : ( m2_prob_1(C,A,k1_random_1(A)) & ! [D] : ~ ( r2_tarski(D,k1_random_1(A)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ~ ( r1_funct_2(A,k5_margrel1,A,k2_tarski(k5_ordinal1,1),E,k5_funct_3(D,A)) & k1_funct_1(C,D) = k6_dist_2(A,B,E) ) ) ) ) ) ) )).
fof(l45_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ~ ( B != C & k12_euclid(k8_euclid(A,B,C)) = k5_numbers ) ) ) ) )).
fof(l45_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ~ ( r2_euclidlp(A,B,C) & r3_euclidlp(A,B,C) ) ) ) ) )).
fof(l45_fib_num4,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(2,k3_square_1(5)),k3_xcmplx_0(2,1)) )).
fof(l45_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,B,A) & v3_fomodel3(D,B,A,C) ) => r2_funct_2(k35_fomodel1(B),k8_eqrel_1(A,C),k9_fomodel2(B,k8_eqrel_1(A,C),k23_fomodel3(B,A,C,D)),k1_partfun1(k35_fomodel1(B),A,A,k8_eqrel_1(A,C),k9_fomodel2(B,A,D),k17_fomodel3(A,C))) ) ) ) ) )).
fof(l45_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => v11_fomodel4(k30_fomodel2(A),A,B) ) ) )).
fof(l45_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k2_twoscomp)) = k9_margrel1(k2_binarith(k2_binarith(G,k8_margrel1(H)),I),K) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(E,D),k3_gfacirc1)) = k9_margrel1(K,k8_margrel1(J)) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp)) = k9_margrel1(k8_margrel1(J),k2_binarith(k2_binarith(G,k8_margrel1(H)),I)) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l45_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_fuzzy_1(B,C) => r1_fuzzy_1(k3_fuzzy_1(A,C),k3_fuzzy_1(A,B)) ) ) ) ) )).
fof(l45_fuzzy_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k5_numbers,C) => k3_xcmplx_0(C,k3_xxreal_0(A,B)) = k3_xxreal_0(k3_xcmplx_0(C,A),k3_xcmplx_0(C,B)) ) ) ) ) )).
fof(l45_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( r1_analmetr(A,B,C) & k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)) ) => ( D = F & E = G ) ) ) ) ) ) ) ) ) )).
fof(l45_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k6_glib_001(A,B))) => ( k1_funct_1(k6_glib_001(A,B),C) = k1_funct_1(B,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),1)) & r2_tarski(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),1),k1_relset_1(k4_ordinal1,B)) ) ) ) ) ) )).
fof(l45_gr_cy_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_int_1(A,B,C) => ( C = k5_numbers | r2_int_1(k1_newton(A,D),k1_newton(B,D),C) ) ) ) ) ) ) )).
fof(l45_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( ( r3_pre_poly(A,B,C) & r3_pre_poly(A,C,D) ) => r3_pre_poly(A,B,D) ) ) ) ) ) )).
fof(l45_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => k5_group_1(C,D,k3_xcmplx_0(B,A)) = k5_group_1(C,k5_group_1(C,D,B),A) ) ) ) ) )).
fof(l45_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ( r1_tarski(u1_struct_0(C),u1_struct_0(D)) => m1_group_9(C,A,D) ) ) ) ) )).
fof(l45_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ( r3_lattices(k5_substlat(A,B),k4_lattices(k5_substlat(A,B),C,k2_lattice2(u1_struct_0(k5_substlat(A,B)),k5_substlat(A,B),k6_heyting2(A,B,C),k6_funcop_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),u1_lattices(k5_substlat(A,B)),k4_heyting2(A,B),k9_funcop_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),k5_heyting2(A,B),k7_heyting2(A,B,C),D)))),D) & ! [E] : ( m1_subset_1(E,u1_struct_0(k5_substlat(A,B))) => ( r3_lattices(k5_substlat(A,B),k4_lattices(k5_substlat(A,B),C,D),E) => r3_lattices(k5_substlat(A,B),D,k2_lattice2(u1_struct_0(k5_substlat(A,B)),k5_substlat(A,B),k6_heyting2(A,B,C),k6_funcop_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),u1_lattices(k5_substlat(A,B)),k4_heyting2(A,B),k9_funcop_1(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),k5_heyting2(A,B),k7_heyting2(A,B,C),E)))) ) ) ) ) ) ) )).
fof(l45_heyting3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ ( A != k1_tarski(k1_xboole_0) & r2_tarski(k1_xboole_0,A) & ! [B] : ~ ( r2_tarski(B,A) & B != k1_xboole_0 ) ) ) )).
fof(l45_idea_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => ( B = 2 | B = 3 | k1_recdef_1(k13_idea_1(A),B) = k1_recdef_1(A,B) ) ) ) ) )).
fof(l45_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ( k5_int_1(A,C) = k5_numbers => ( r1_xxreal_0(C,k5_numbers) | k5_int_1(k3_xcmplx_0(A,B),C) = k5_numbers ) ) ) ) ) )).
fof(l45_integra8,axiom,( k9_xtuple_0(k16_sin_cos) = k1_numbers )).
fof(l45_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,C) => ! [G] : ( m2_cat_1(G,A,C) => ( ( r1_nattra_1(A,B,D,E) & r1_nattra_1(A,C,F,G) ) => ! [H] : ( m1_nattra_1(H,A,B,D,E) => ! [I] : ( m1_nattra_1(I,A,C,F,G) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_zfmisc_1(u4_struct_0(B),u4_struct_0(C)),k14_funct_3(u1_struct_0(A),u4_struct_0(B),u4_struct_0(C),H,I),J) = k8_cat_2(B,C,k2_nattra_1(A,B,D,E,H,J),k2_nattra_1(A,C,F,G,I,J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l45_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) )).
fof(l45_jgraph_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = a_0_6_jgraph_5 => ( v1_funct_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k8_jordan6(A))) & v1_funct_2(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k8_jordan6(A)),u1_struct_0(k1_pre_topc(k15_euclid(2),k8_jordan6(A))),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & v5_pre_topc(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k8_jordan6(A)),k1_pre_topc(k15_euclid(2),k8_jordan6(A)),k4_topmetr(k4_xcmplx_0(1),1)) & m1_subset_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k8_jordan6(A)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k8_jordan6(A))),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) & v2_funct_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k8_jordan6(A))) & k2_relset_1(k1_numbers,k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k8_jordan6(A))) = k2_struct_0(k4_topmetr(k4_xcmplx_0(1),1)) ) ) ) )).
fof(l45_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k7_xcmplx_0(C,k1_newton(2,B)),k7_xcmplx_0(C,k1_newton(2,A))) ) ) ) ) ) )).
fof(l45_jordan5d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( k17_euclid(B) = k6_pscomp_1(k3_topreal1(2,D)) & r2_tarski(B,k3_topreal1(2,D)) & C = a_1_8_jordan5d(D) & A = k4_seq_4(C) ) => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),1,A)),k18_euclid(B)) ) ) ) ) ) )).
fof(l45_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lopban_4(A,B,C) => k6_algstr_0(A,k1_lopban_3(A,k1_lopban_4(A,B)),k1_lopban_3(A,k1_lopban_4(A,C))) = k1_lopban_3(A,k1_lopban_4(A,k3_rlvect_1(A,B,C))) ) ) ) ) )).
fof(l45_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v6_struct_0(E) & v13_algstr_0(E) & v33_algstr_0(E) & v3_group_1(E) & v5_group_1(E) & v4_vectsp_1(E) & v5_vectsp_1(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l6_algstr_0(E) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(E),C,D) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(E))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(E),C,B) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(E))) ) => ( F != k4_struct_0(E) => k4_matrix15(E,G,H) = k4_matrix15(E,k3_matrix11(A,C,D,u1_struct_0(E),G,k10_fvsum_1(k1_matrix_0(G),E,k7_matrix_0(u1_struct_0(E),G,A),F)),k3_matrix11(A,C,B,u1_struct_0(E),H,k10_fvsum_1(k1_matrix_0(H),E,k7_matrix_0(u1_struct_0(E),H,A),F))) ) ) ) ) ) ) ) ) ) )).
fof(l45_matrlin,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ~ ( r2_tarski(B,k9_xtuple_0(A)) & r1_xxreal_0(k3_finseq_1(A),k5_numbers) ) ) )).
fof(l45_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( v1_ringcat1(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_algstr_0(A,D,E)) = k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(l45_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_modelc_1(A) => A = k8_modelc_1(k15_modelc_1(A),k16_modelc_1(A)) ) ) )).
fof(l45_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v3_modelc_2(A) | v6_modelc_2(A) ) => k1_modelc_3(A) = k2_xboole_0(k1_modelc_3(k10_modelc_2(A)),k1_tarski(A)) ) ) )).
fof(l45_nagata_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( r1_nagata_1(A,B) <=> ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( k1_binop_1(B,C,C) = k5_numbers & k1_binop_1(B,C,D) = k1_binop_1(B,D,C) & r1_xxreal_0(k1_binop_1(B,C,E),k2_xcmplx_0(k1_binop_1(B,C,D),k1_binop_1(B,D,E))) ) ) ) ) ) ) )).
fof(l45_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_int_1(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,k5_ordinal1),k1_newton(B,k5_ordinal1))) ) ) )).
fof(l45_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => v13_o_ring_1(B,A) ) ) ) )).
fof(l45_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,k2_oppcat_1(A),B) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(B),k9_oppcat_1(A,B,C),k4_cat_1(A,k3_graph_1(A,D))) = k4_cat_1(B,k4_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),k9_oppcat_1(A,B,C),D))) & k3_funct_2(u4_struct_0(A),u4_struct_0(B),k9_oppcat_1(A,B,C),k4_cat_1(A,k4_graph_1(A,D))) = k4_cat_1(B,k3_graph_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),k9_oppcat_1(A,B,C),D))) ) ) ) ) ) )).
fof(l45_pdiff_4,axiom,( v1_xreal_0(1) )).
fof(l45_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ( ( B = C & D = E ) => ( r2_nfcont_4(A,B,D) <=> ( r2_tarski(E,k1_relset_1(u1_struct_0(k4_real_ns1(A)),C)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(k4_real_ns1(A)),F),k1_relset_1(u1_struct_0(k4_real_ns1(A)),C)) & v3_normsp_1(F,k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A),F) = E ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,u1_struct_0(k4_real_ns1(A)),F,C)) & k7_partfun1(k1_numbers,C,E) = k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,u1_struct_0(k4_real_ns1(A)),F,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l45_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => m1_subset_1(k9_poset_1(A,B),u1_struct_0(k6_poset_1(A,B))) ) ) )).
fof(l45_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k2_prefer_1(A)) & v4_prefer_1(k2_prefer_1(A)) ) ) )).
fof(l45_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(k8_cqc_lang(A,B,C),k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,D,B),k7_cqc_lang(A,D,C)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l45_quaterni,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( k3_complex1(k5_arytm_0(A,B)) = A & k4_complex1(k5_arytm_0(A,B)) = B ) ) ) )).
fof(l45_scmbsort,axiom,( k4_scmfsa_2(2) != k4_scmfsa_2(5) )).
fof(l45_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( r5_scmfsa7b(B,D,A) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)),2))) = k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),1) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)),2))) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)),2),E) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),E)) = k2_compos_1(k1_scmfsa_2) ) ) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),E)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),E)) ) ) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)),1))) = k4_card_1(B) & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)) & k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)) = k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)),2) ) ) ) ) ) ) )).
fof(l45_scmisort,axiom,( v1_scmfsa7b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))))))) & v1_scm_halt(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))))))) )).
fof(l45_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ( r2_tarski(A,a_0_2_scmpds_2) => k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 1 ) ) )).
fof(l45_sf_mastr,axiom,( ! [A] : ! [B] : k5_sf_mastr(k2_xboole_0(A,B)) = k1_finsub_1(k1_zfmisc_1(k3_scmfsa_2),k5_sf_mastr(A),k5_sf_mastr(B)) )).
fof(l45_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & v5_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( v6_ordinal1(B) & v1_setfam_1(B) & k4_card_1(B) = k4_card_1(k5_setfam_1(u1_struct_0(A),B)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_xboole_0(C,k5_setfam_1(u1_struct_0(A),B)) & v1_rlaffin1(k4_subset_1(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B),C),A) ) => m3_simplex0(k4_subset_1(u1_struct_0(A),k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),B),k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k4_subset_1(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B),C)))),k4_simplex1(A,k5_simplex0(u1_struct_0(A),k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k4_subset_1(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B),C)))),k4_card_1(B)) ) ) ) ) ) )).
fof(l45_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k7_xcmplx_0(k3_xcmplx_0(2,A),k2_xcmplx_0(1,k1_square_1(A))),k5_numbers) ) ) )).
fof(l45_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l45_srings_2,axiom,( k3_xboole_0(k1_tarski(1),k1_tarski(4)) = k1_xboole_0 )).
fof(l45_taylor_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,B)) & r1_taylor_1(B,A,C) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & r1_tarski(k1_rcomp_1(D,E),C) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,C),A),k1_rcomp_1(D,E))) & r1_taylor_1(B,k1_nat_1(A,1),k2_rcomp_1(D,E)) & ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( k1_relset_1(k1_numbers,F) = C & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,C) => k1_funct_1(F,G) = k6_xcmplx_0(k1_funct_1(B,D),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(B,C,G,D)),A)) ) ) & k1_funct_1(F,D) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(D,E))) & r2_fdiff_1(F,k2_rcomp_1(D,E)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k2_rcomp_1(D,E)) => k1_fdiff_1(F,G) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,k2_rcomp_1(D,E)),k1_nat_1(A,1)),G),k1_newton(k6_xcmplx_0(D,G),A)),k2_newton(A))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l45_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A,k2_tops_1(A,B)) = k2_tops_1(A,B) ) ) )).
fof(l45_uniroots,axiom,( r2_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k4_uniroots(1,k1_complfld),k5_polynom5(k1_complfld,k4_algstr_0(k1_complfld,k1_group_1(k1_complfld)),k1_group_1(k1_complfld))) )).
fof(l45_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k4_matrlin(A,B,B,C,k8_group_1(A,D,E)),k4_matrlin(A,B,B,k4_matrlin(A,B,B,C,E),D)) ) ) ) ) ) )).
fof(l45_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( m1_vectsp_4(C,A,D) => u1_struct_0(k1_vectsp_5(A,B,D,k2_vectsp_5(A,B,C,E))) = u1_struct_0(k2_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),k1_vectsp_5(A,B,D,E))) ) ) ) ) ) ) )).
fof(l45_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_waybel_8(A) & v2_waybel_8(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_waybel_3(A,F,D) & r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,u1_struct_0(k1_waybel_8(B))) => ( r3_orders_2(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,u1_struct_0(k1_waybel_8(A))) & r3_orders_2(A,F,D) & r3_orders_2(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) ) ) ) ) ) ) )).
fof(l45_waybel29,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,C) ) => k5_waybel11(k3_yellow_3(C,A)) = u1_pre_topc(k2_borsuk_1(D,B)) ) ) ) => v3_waybel_3(k1_yellow_1(k5_waybel11(A))) ) ) )).
fof(l45_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( B != D => k3_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(C,D)),k2_tarski(k4_tarski(B,E),k4_tarski(D,F))) = k2_tarski(k4_tarski(A,E),k4_tarski(C,F)) ) )).
fof(l46_analmetr,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(c1__analmetr)) & ? [B] : ( m1_subset_1(B,u1_struct_0(c1__analmetr)) & r1_analmetr(c1__analmetr,A,B) ) ) )).
fof(l46_arytm_2,axiom,( ! [A] : ~ ( r2_tarski(A,k2_arytm_2) & A = k5_arytm_3 ) )).
fof(l46_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => v2_rcomp_1(k4_rcomp_1(k2_xxreal_0,A)) ) )).
fof(l46_borsuk_7,axiom,( m1_subset_1(k3_numbers,k1_zfmisc_1(k1_numbers)) )).
fof(l46_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_clvect_1(C,A) => ( u1_struct_0(C) = B => v6_clvect_1(B,A) ) ) ) ) )).
fof(l46_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k4_xcmplx_0(A) = k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_xcmplx_0(k1_real_1(k4_complex1(A)),k7_complex1)) ) )).
fof(l46_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => r2_tarski(k8_cqc_lang(A,k7_cqc_lang(A,B,C),k7_cqc_lang(A,C,B)),a_2_0_cqc_the1(A,D)) ) ) ) ) )).
fof(l46_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ~ ( r2_tarski(B,k2_euclid_4(A,D,E)) & r2_tarski(C,k2_euclid_4(A,D,E)) & ! [F] : ( v1_xreal_0(F) => k8_euclid(A,B,C) != k9_euclid(A,k8_euclid(A,D,E),F) ) ) ) ) ) ) ) )).
fof(l46_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,2)))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(B,C) = 1 ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,2)),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,2)),A),C) = k3_xcmplx_0(2,k1_funct_1(k18_sin_cos,C)) ) ) ) ) ) ) )).
fof(l46_fib_num4,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(2),k4_xcmplx_0(k3_xcmplx_0(2,k3_square_1(5)))) )).
fof(l46_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & C = D ) => ( k3_filter_0(A,C) = k3_filter_0(B,D) & k7_filter_2(A,C) = k7_filter_2(B,D) ) ) ) ) ) ) )).
fof(l46_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k4_tarski(A,B),k1_tarski(k4_tarski(C,D))) => ( A = C & B = D ) ) )).
fof(l46_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v15_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,B,A) & v3_fomodel3(E,B,A,C) ) => ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k15_fomodel1(B),k22_fomodel1(B),D) != k31_fomodel2(B) => k13_fomodel2(B,k8_eqrel_1(A,C),k23_fomodel3(B,A,C,E),D) = k13_fomodel2(B,A,E,D) ) ) ) ) ) ) )).
fof(l46_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k4_gfacirc1)) = k2_binarith(k8_margrel1(k2_binarith(k2_binarith(G,k8_margrel1(H)),I)),k8_margrel1(K)) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l46_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( k10_xtuple_0(D) = A & k3_relat_1(D,B) = k4_relat_1(k9_xtuple_0(C)) & k3_relat_1(B,C) = k4_relat_1(A) ) => C = D ) ) ) ) )).
fof(l46_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => r1_tarski(k4_card_3(k2_funct_6(A)),k10_xtuple_0(k6_funct_6(A))) ) )).
fof(l46_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(l46_fuzzy_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k5_numbers,C) => k3_xcmplx_0(C,k4_xxreal_0(A,B)) = k4_xxreal_0(k3_xcmplx_0(C,A),k3_xcmplx_0(C,B)) ) ) ) ) )).
fof(l46_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => r2_hidden(k1_fvaluat1(k2_relset_1(k6_numbers,B)),k2_relset_1(k6_numbers,B)) ) ) ) )).
fof(l46_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k4_glib_001(A,B) = k3_glib_001(A,C) => k1_nat_1(k3_finseq_1(k7_glib_001(A,B,C)),1) = k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) )).
fof(l46_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k5_group_1(B,k2_group_1(B,C),A) = k2_group_1(B,k5_group_1(B,C,A)) ) ) ) )).
fof(l46_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ( r3_lattices(k11_normform(A),k4_lattices(k11_normform(A),B,k2_lattice2(u1_struct_0(k11_normform(A)),k11_normform(A),k10_heyting1(A,B),k6_funcop_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),u1_lattices(k11_normform(A)),k8_heyting1(A),k9_funcop_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),k9_heyting1(A),k11_heyting1(A,B),C)))),C) & ! [D] : ( m1_subset_1(D,u1_struct_0(k11_normform(A))) => ( r3_lattices(k11_normform(A),k4_lattices(k11_normform(A),B,C),D) => r3_lattices(k11_normform(A),C,k2_lattice2(u1_struct_0(k11_normform(A)),k11_normform(A),k10_heyting1(A,B),k6_funcop_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),u1_lattices(k11_normform(A)),k8_heyting1(A),k9_funcop_1(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),k9_heyting1(A),k11_heyting1(A,B),D)))) ) ) ) ) ) )).
fof(l46_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => v3_filter_0(k5_substlat(A,B)) ) )).
fof(l46_hfdiff_1,axiom,( r2_relset_1(k1_numbers,k1_numbers,k1_taylor_1(1),k6_partfun1(k1_numbers)) )).
fof(l46_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & B = k9_int_3(A) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ~ ( k2_hurwitz(B,D) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k3_int_7(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k9_int_3(A))) => ( ( E = F & G = k5_group_1(k3_int_7(A),F,C) ) => k2_polynom4(B,D,E) = k5_algstr_0(k9_int_3(A),G,k1_group_1(k9_int_3(A))) ) ) ) ) ) ) ) ) ) ) )).
fof(l46_integra8,axiom,( k9_xtuple_0(k18_sin_cos) = k1_numbers )).
fof(l46_jgraph_2,axiom,( v4_pre_topc(a_0_4_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_4_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(l46_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k2_xcmplx_0(D,k7_xcmplx_0(C,k1_newton(2,B))),k2_xcmplx_0(D,k7_xcmplx_0(C,k1_newton(2,A)))) ) ) ) ) ) )).
fof(l46_jordan23,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v1_jordan23(A) & v1_topreal1(A) & v2_topreal1(A) & v3_topreal1(A) & r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) ) => ( B = C | B = k1_funct_1(A,1) | ( r1_xxreal_0(k1_jordan3(A,C),k1_jordan3(A,B)) & ~ ( k1_jordan3(A,B) = k1_jordan3(A,C) & r2_jordan3(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_jordan3(A,B)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,B),1)),B,C) ) ) | r1_jordan3(k4_jordan3(A,B,C),B,C) ) ) ) ) ) )).
fof(l46_jordan5d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( k17_euclid(B) = k6_pscomp_1(k3_topreal1(2,D)) & r2_tarski(B,k3_topreal1(2,D)) & C = a_1_8_jordan5d(D) & A = k1_xxreal_2(C) ) => r1_xxreal_0(k18_euclid(B),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),1,A))) ) ) ) ) ) )).
fof(l46_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => a_5_1_lfuzzy_1(A,B,C,D,E) = a_5_2_lfuzzy_1(A,B,C,D,E) ) ) ) ) ) )).
fof(l46_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_ideal_1(k15_lpspacc1(A,B,C),k14_lpspacc1(A,B,C)) & v1_lpspacc1(k15_lpspacc1(A,B,C),k14_lpspacc1(A,B,C)) ) ) ) ) )).
fof(l46_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k6_cqc_lang(A,B),k8_cqc_lang(A,B,k6_cqc_lang(A,k5_cqc_lang(A)))),k4_cqc_the1(A)) ) ) )).
fof(l46_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,C,A,B) & m2_finseq_1(E,k3_finseq_2(C)) ) => ( v1_matrix_0(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k4_ordinal1,k3_finseq_2(C),D,E)) & v2_matrix_0(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k4_ordinal1,k3_finseq_2(C),D,E),C,A,B) & m2_finseq_1(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k4_ordinal1,k3_finseq_2(C),D,E),k3_finseq_2(C)) ) ) ) ) ) ) )).
fof(l46_mod_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k18_mod_2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k18_mod_2)) => ( B = 1 => ( k6_algstr_0(k18_mod_2,A,B) = A & k6_algstr_0(k18_mod_2,B,A) = A ) ) ) ) )).
fof(l46_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_modelc_1(A) => A = k11_modelc_1(k15_modelc_1(A),k16_modelc_1(A)) ) ) )).
fof(l46_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) => k1_modelc_3(A) = k2_xboole_0(k4_subset_1(k9_modelc_2,k1_modelc_3(k11_modelc_2(A)),k1_modelc_3(k12_modelc_2(A))),k1_tarski(A)) ) ) )).
fof(l46_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_int_1(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,C),k1_newton(B,C))) => ( r1_xxreal_0(C,k5_ordinal1) | r1_int_1(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,k2_xcmplx_0(C,1)),k1_newton(B,k2_xcmplx_0(C,1)))) ) ) ) ) ) )).
fof(l46_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l6_algstr_0(C) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ( ( v12_o_ring_1(D,C) & r1_xxreal_0(A,k3_finseq_1(D)) & r1_xxreal_0(B,k3_finseq_1(D)) ) => ( A = k5_numbers | B = k5_numbers | v12_o_ring_1(k8_finseq_1(u1_struct_0(C),D,k12_finseq_1(u1_struct_0(C),k1_algstr_0(C,k7_partfun1(u1_struct_0(C),D,A),k7_partfun1(u1_struct_0(C),D,B)))),C) ) ) ) ) ) ) )).
fof(l46_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,k2_oppcat_1(B),A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( k2_cat_1(B,D,E) != k1_xboole_0 & k2_cat_1(B,E,F) != k1_xboole_0 & ~ ! [G] : ( m1_cat_1(G,B,D,E) => ! [H] : ( m1_cat_1(H,B,E,F) => k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),k1_cat_1(B,G,H)) = k1_cat_1(A,k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),H),k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),G)) ) ) ) ) ) ) ) ) ) )).
fof(l46_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => ! [C] : ( ( r2_tarski(C,u1_struct_0(A)) & r3_pcs_0(A,B) ) => m1_subset_1(C,u1_struct_0(B)) ) ) ) )).
fof(l46_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_hidden(k4_tarski(k3_termord(A,B,C,D),E),B) => ( E = k3_termord(A,B,C,D) | k4_polynom1(A,C,D,E) = k4_struct_0(C) ) ) ) ) ) ) ) )).
fof(l46_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(A,B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k3_zfmisc_1(A,B,B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,A,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ~ ( r2_poset_2(A,C,H,I) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,A,B) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,A,B) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ! [L] : ( m1_subset_1(L,A) => ( k3_funct_2(A,B,J,L) = k10_poset_2(A,B,C,D,F,L,k3_funct_2(A,B,J,k3_funct_2(A,A,H,L)),k3_funct_2(A,B,K,k3_funct_2(A,A,I,L))) & k3_funct_2(A,B,K,L) = k10_poset_2(A,B,C,E,G,L,k3_funct_2(A,B,J,k3_funct_2(A,A,H,L)),k3_funct_2(A,B,K,k3_funct_2(A,A,I,L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l46_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(k8_cqc_lang(A,B,C),k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,k9_cqc_lang(A,B,D),k9_cqc_lang(A,C,D)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l46_quaterni,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_arytm_0(k3_complex1(A),k4_complex1(A)) = A ) )).
fof(l46_scmbsort,axiom,( k4_scmfsa_2(2) != k4_scmfsa_2(6) )).
fof(l46_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ~ ( r2_tarski(A,a_0_3_scmpds_2) & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 2 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 3 ) ) )).
fof(l46_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k7_binop_2,A) = k3_xcmplx_0(k4_xcmplx_0(1),A) ) )).
fof(l46_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k7_xcmplx_0(k3_xcmplx_0(2,A),k2_xcmplx_0(1,k1_square_1(A))),1) ) ) )).
fof(l46_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l46_srings_2,axiom,( k3_xboole_0(k1_tarski(2),k1_tarski(3)) = k1_xboole_0 )).
fof(l46_toprealb,axiom,( k9_toprealb != k10_toprealb )).
fof(l46_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_tops_1(A,k2_tops_1(A,k2_tops_1(A,B))) = k1_xboole_0 ) ) )).
fof(l46_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k4_matrlin(A,B,B,k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),E,D),C),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),E,k4_matrlin(A,B,B,D,C))) ) ) ) ) ) )).
fof(l46_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_waybel_8(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,u1_struct_0(k1_waybel_8(B))) => ( r3_orders_2(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,u1_struct_0(k1_waybel_8(A))) & r3_orders_2(A,F,D) & r3_orders_2(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_waybel_3(A,F,D) & r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) ) ) ) ) ) )).
fof(l46_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(k8_waybel_4(A))) & r2_lattice3(k8_waybel_4(A),u1_struct_0(k8_waybel_4(A)),B) ) ) )).
fof(l46_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(k6_xcmplx_0(B,A),k5_numbers) ) ) ) )).
fof(l46_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k9_xtuple_0(C) = k2_tarski(A,B) <=> C = k2_tarski(k4_tarski(A,k1_funct_1(C,A)),k4_tarski(B,k1_funct_1(C,B))) ) ) )).
fof(l46_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D)) <=> ( r2_hidden(A,C) & r2_hidden(B,D) ) ) )).
fof(l47_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_4(C,A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r2_tarski(E,C) & ~ r1_aff_1(A,B,D,E) ) ) ) ) ) ) ) )).
fof(l47_afinsq_2,axiom,( v7_ordinal1(k5_numbers) )).
fof(l47_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_afvect0(A,D,B) = C <=> r2_analoaf(A,B,D,D,C) ) ) ) ) ) )).
fof(l47_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_algstr_1)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_algstr_1)) => k6_algstr_0(k2_algstr_1,k6_algstr_0(k2_algstr_1,A,B),C) = k6_algstr_0(k2_algstr_1,A,k6_algstr_0(k2_algstr_1,B,C)) ) ) ) )).
fof(l47_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ( k1_funct_1(k17_funcop_1(k1_ami_wstd(A,B,k5_numbers),k2_compos_1(B)),k6_ami_wstd(A,B,k17_funcop_1(k1_ami_wstd(A,B,k5_numbers),k2_compos_1(B)))) = k2_compos_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( k1_funct_1(k17_funcop_1(k1_ami_wstd(A,B,k5_numbers),k2_compos_1(B)),C) = k2_compos_1(B) & r2_tarski(C,k1_relset_1(k1_tarski(k1_ami_wstd(A,B,k5_numbers)),k17_funcop_1(k1_ami_wstd(A,B,k5_numbers),k2_compos_1(B)))) ) => C = k6_ami_wstd(A,B,k17_funcop_1(k1_ami_wstd(A,B,k5_numbers),k2_compos_1(B))) ) ) ) ) ) )).
fof(l47_analmetr,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(c1__analmetr)) & ? [B] : ( m1_subset_1(B,u1_struct_0(c1__analmetr)) & r1_analmetr(c1__analmetr,A,B) ) ) )).
fof(l47_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => ! [C] : ( ( r2_tarski(C,a_0_0_arytm_2) & r2_tarski(A,C) & r3_arytm_3(B,A) ) => r2_tarski(B,C) ) ) ) )).
fof(l47_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),A),1),k5_numbers) ) )).
fof(l47_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => v2_rcomp_1(k3_rcomp_1(A,k1_xxreal_0)) ) )).
fof(l47_borsuk_7,axiom,( u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7))) = c15__borsuk_7 )).
fof(l47_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => ( D = E | r1_xxreal_0(B,k3_metric_1(A,D,E)) ) ) ) ) => ( r1_xxreal_0(B,k5_numbers) | ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) => ( D = a_2_2_compl_sp(A,C) => v1_pcomps_1(D,k3_pcomps_1(A)) ) ) ) ) ) ) ) )).
fof(l47_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => ( ( r2_tarski(B,a_2_0_cqc_the1(A,D)) & r2_tarski(k8_cqc_lang(A,B,C),a_2_0_cqc_the1(A,D)) ) => r2_tarski(C,a_2_0_cqc_the1(A,D)) ) ) ) ) ) )).
fof(l47_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & r2_tarski(E,k2_euclid_4(A,B,C)) & r1_rvsum_1(k8_euclid(A,B,C),k8_euclid(A,D,E)) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_tarski(F,k2_euclid_4(A,B,C)) => r1_xxreal_0(k12_euclid(k8_euclid(A,D,E)),k12_euclid(k8_euclid(A,D,F))) ) ) ) ) ) ) ) )).
fof(l47_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k1_funct_1(C,D) = k12_euclid(k5_algstr_0(k15_euclid(A),D,B)) ) => v5_pre_topc(C,k15_euclid(A),k3_topmetr) ) ) ) ) )).
fof(l47_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ~ ( ~ r3_euclidlp(A,B,C) & B != k5_euclid(A) & C != k5_euclid(A) & ~ r2_euclidlp(A,B,C) ) ) ) ) )).
fof(l47_fib_num4,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(2),6),k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(2,k3_square_1(5))),6)) )).
fof(l47_fomodel3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k35_fomodel1(C)) => ! [E] : ( ( v14_fomodel1(E,k5_numbers,C) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => k1_funct_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),k35_fomodel1(C)),k7_fomodel2(C,k35_fomodel1(C),D,k7_fomodel3(C,A)),k1_nat_1(B,1)),E) = E ) ) ) ) )).
fof(l47_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k2_twoscomp)) & H = k1_funct_1(F,k4_tarski(k10_finseq_1(E,D),k3_gfacirc1)) & I = k1_funct_1(F,k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp)) ) => k1_funct_1(k6_circuit2(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F),k33_gfacirc1(k24_gfacirc1(A,B,C),E,D)) = k8_margrel1(k1_binarith(k1_binarith(G,H),I)) ) ) ) ) ) ) ) ) ) )).
fof(l47_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( r2_tarski(C,k26_glib_000(A,B)) <=> ( r2_tarski(C,k7_glib_000(A)) & k1_funct_1(k11_glib_000(A),C) = B ) ) ) ) )).
fof(l47_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k4_glib_001(A,B) = k3_glib_001(A,C) => ( r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(k7_glib_001(A,B,C))) & r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(k7_glib_001(A,B,C))) ) ) ) ) ) )).
fof(l47_graphsp,axiom,( v1_xreal_0(1) )).
fof(l47_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(A,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k12_polynom1(A,C))) => ( ( D = F & E = G ) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ~ ( r1_rewrite1(k3_polyred(A,B,C,H),D,E) & ! [I] : ( m2_ideal_1(I,k12_polynom1(A,C),H) => ~ ( F = k3_rlvect_1(k12_polynom1(A,C),G,k4_rlvect_1(k12_polynom1(A,C),I)) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r2_tarski(J,k4_finseq_1(I)) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(K,A,C) & v3_polynom7(K,A,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(L,A,C) & v1_polynom1(L,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_tarski(L,H) & k1_funct_1(I,J) = k11_polynom1(A,C,K,L) & r1_termord(A,B,k3_termord(A,B,C,k11_polynom1(A,C,K,L)),k3_termord(A,B,C,D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l47_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( k6_algstr_0(B,C,D) = k6_algstr_0(B,D,C) => k6_algstr_0(B,C,k5_group_1(B,D,A)) = k6_algstr_0(B,k5_group_1(B,D,A),C) ) ) ) ) ) )).
fof(l47_heyting1,axiom,( ! [A] : v3_filter_0(k11_normform(A)) )).
fof(l47_integra8,axiom,( k9_xtuple_0(k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos)) = k1_numbers )).
fof(l47_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k17_euclid(A)),k4_xcmplx_0(k17_euclid(B))) & k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) )).
fof(l47_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( E = a_4_8_jordan1(A,B,C,D) & F = a_4_6_jordan1(A,B,C,D) ) => ( r1_xxreal_0(C,A) | r1_xxreal_0(D,B) | k2_pre_topc(k15_euclid(2),F) = k4_subset_1(u1_struct_0(k15_euclid(2)),E,F) ) ) ) ) ) ) ) ) )).
fof(l47_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k6_xcmplx_0(D,k7_xcmplx_0(C,k1_newton(2,A))),k6_xcmplx_0(D,k7_xcmplx_0(C,k1_newton(2,B)))) ) ) ) ) ) )).
fof(l47_jordan5d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( k17_euclid(B) = k8_pscomp_1(k3_topreal1(2,D)) & r2_tarski(B,k3_topreal1(2,D)) & C = a_1_9_jordan5d(D) & A = k4_seq_4(C) ) => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),k3_finseq_1(k2_goboard2(D)),A)),k18_euclid(B)) ) ) ) ) ) )).
fof(l47_lattice8,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r2_tarski(A,k2_finseq_1(4)) & A != 1 & A != 2 & A != 3 & A != 4 ) ) )).
fof(l47_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => a_5_2_lfuzzy_1(A,B,C,D,E) = a_5_3_lfuzzy_1(A,B,C,D,E) ) ) ) ) ) )).
fof(l47_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( v2_rlvect_1(k17_lmod_7(A,B,C)) & v3_rlvect_1(k17_lmod_7(A,B,C)) & v4_rlvect_1(k17_lmod_7(A,B,C)) & v13_algstr_0(k17_lmod_7(A,B,C)) ) ) ) ) )).
fof(l47_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),k6_cqc_lang(A,k5_cqc_lang(A))),B),k4_cqc_the1(A)) ) ) )).
fof(l47_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( ~ v2_struct_0(F) & ~ v6_struct_0(F) & v13_algstr_0(F) & v33_algstr_0(F) & v3_group_1(F) & v5_group_1(F) & v4_vectsp_1(F) & v5_vectsp_1(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & l6_algstr_0(F) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(F),D,E) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(F))) ) => ! [I] : ( ( v1_matrix_0(I) & v2_matrix_0(I,u1_struct_0(F),D,C) & m2_finseq_1(I,k3_finseq_2(u1_struct_0(F))) ) => ( r2_tarski(B,k2_finseq_1(D)) => ( A = B | k4_matrix15(F,H,I) = k4_matrix15(F,k3_matrix11(A,D,E,u1_struct_0(F),H,k4_fvsum_1(k1_matrix_0(H),F,k7_matrix_0(u1_struct_0(F),H,A),k10_fvsum_1(k1_matrix_0(H),F,k7_matrix_0(u1_struct_0(F),H,B),G))),k3_matrix11(A,D,C,u1_struct_0(F),I,k4_fvsum_1(k1_matrix_0(I),F,k7_matrix_0(u1_struct_0(F),I,A),k10_fvsum_1(k1_matrix_0(I),F,k7_matrix_0(u1_struct_0(F),I,B),G)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l47_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( r2_mesfun6c(A,B,C,D) & k1_mesfun6c(A,B,C,D) = k5_numbers ) => ( ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ~ ( E = k1_relset_1(A,D) & r1_mesfun6c(A,B,D,E) ) ) | r1_xxreal_0(k9_complex1(k1_mesfun6c(A,B,C,D)),k1_mesfunc6(A,B,C,k55_valued_1(A,k2_numbers,D))) ) ) ) ) ) ) )).
fof(l47_mesfunc5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) => r2_tarski(k1_funct_1(B,C),A) ) ) => m2_finseq_1(B,A) ) ) )).
fof(l47_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_midsp_3(B,A) => ! [C] : ( m2_midsp_3(C,A) => ! [D] : ( ( v4_midsp_2(D,C) & l1_midsp_2(D,C) ) => ( r2_midsp_3(A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m2_finseq_2(H,u1_struct_0(C),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(C))) => ( k3_midsp_1(C,E,G) = k3_midsp_1(C,k5_midsp_3(A,u1_struct_0(C),H,B),F) => ( k4_midsp_3(A,C,E,k6_midsp_3(A,C,H,B,k3_midsp_1(C,k5_midsp_3(A,u1_struct_0(C),H,B),F))) = k3_midsp_1(C,k4_midsp_3(A,C,E,H),k4_midsp_3(A,C,E,k6_midsp_3(A,C,H,B,F))) <=> k9_midsp_2(C,D,E,k4_midsp_3(A,C,E,k6_midsp_3(A,C,H,B,G))) = k1_algstr_0(u1_midsp_2(C,D),k9_midsp_2(C,D,E,k4_midsp_3(A,C,E,H)),k9_midsp_2(C,D,E,k4_midsp_3(A,C,E,k6_midsp_3(A,C,H,B,F)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l47_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_mod_4(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) ) ) ) ) )).
fof(l47_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ~ ( ~ ( ~ v3_modelc_1(A) & ~ v5_modelc_1(A) & ~ v6_modelc_1(A) ) & r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(k14_modelc_1(A))) ) ) )).
fof(l47_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v2_modelc_2(A) => k1_modelc_3(A) = k1_tarski(A) ) ) )).
fof(l47_nagata_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),k1_numbers))) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => k2_binop_1(B,B,k1_numbers,k5_nagata_1(k2_zfmisc_1(B,B),A,C),D,E) = k3_xxreal_0(A,k2_binop_1(B,B,k1_numbers,C,D,E)) ) ) ) ) ) )).
fof(l47_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(4001,A) & ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(B,k2_nat_1(2,A)) ) ) ) ) )).
fof(l47_ncfcont2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,B,D))) & ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,D,C))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) ) ) ) ) )).
fof(l47_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_ordinal1) => r1_int_1(k3_xcmplx_0(2,A),k2_xcmplx_0(k1_newton(A,B),k1_newton(A,B))) ) ) ) )).
fof(l47_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(B,A) & v12_o_ring_1(C,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(l47_ordinal2,axiom,( 1 = k1_ordinal1(k5_ordinal1) )).
fof(l47_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k13_polynom3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(A))) => ( C = k5_struct_0(k13_polynom3(A)) => ( k8_group_1(k13_polynom3(A),B,C) = B & k8_group_1(k13_polynom3(A),C,B) = B ) ) ) ) ) )).
fof(l47_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k3_termord(A,B,C,D) = k16_pre_poly(A) => r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k6_termord(A,B,C,D),k8_polynom1(A,C)) ) ) ) ) ) )).
fof(l47_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ( m1_subset_1(A,u1_struct_0(k6_poset_1(B,B))) => ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(B),u1_struct_0(B)) & v2_poset_1(A,B,B) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) ) ) )).
fof(l47_prefer_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ v4_prefer_1(k3_prefer_1(A)) ) )).
fof(l47_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(k8_cqc_lang(A,B,C),k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,k9_cqc_lang(A,D,B),k9_cqc_lang(A,D,C)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l47_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & v1_vectsp_2(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k11_polynom3(A,B,C),k9_polynom3(A)) & ~ r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k9_polynom3(A)) & ~ r2_funct_2(k4_ordinal1,u1_struct_0(A),C,k9_polynom3(A)) ) ) ) ) )).
fof(l47_scmbsort,axiom,( k4_scmfsa_2(3) != k4_scmfsa_2(4) )).
fof(l47_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))),B,A),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)) ) ) )).
fof(l47_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ~ ( r2_tarski(A,a_0_4_scmpds_2) & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 4 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 5 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 6 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 7 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 8 ) ) )).
fof(l47_scmpds_7,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k4_card_1(k10_compos_1(k1_scmpds_2,k2_scmpds_7(A,B,C,D))) = k1_nat_1(k4_card_1(D),4) ) ) ) ) )).
fof(l47_seq_1,axiom,( k5_xcmplx_0(k4_xcmplx_0(1)) = k4_xcmplx_0(1) )).
fof(l47_sin_cos2,axiom,( k1_relset_1(k1_numbers,k7_binop_2) = k1_numbers )).
fof(l47_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_square_1(k1_funct_1(k3_sin_cos2,A)) = k2_xcmplx_0(1,k1_square_1(k1_funct_1(k1_sin_cos2,A))) ) )).
fof(l47_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,k7_xcmplx_0(k6_xcmplx_0(1,k3_square_1(k2_xcmplx_0(1,k1_square_1(A)))),A)) ) ) )).
fof(l47_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l47_srings_2,axiom,( k3_xboole_0(k1_tarski(2),k1_tarski(4)) = k1_xboole_0 )).
fof(l47_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( v13_vectsp_1(D,B,B) & v1_mod_2(D,A,B,B) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k4_matrlin(A,B,B,k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),E,D),C),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),k4_matrlin(A,B,B,E,C),D)) ) ) ) ) ) ) )).
fof(l47_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k4_algstr_0(A,k5_struct_0(A)),B) = k4_algstr_0(A,B) ) ) )).
fof(l47_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_waybel_8(A) & v2_waybel_8(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_6_waybel17(A,B,C,D)) ) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_5_waybel17(A,B,C,D)) ) ) ) ) ) )).
fof(l47_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k1_yellow_0(A,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => v6_waybel_6(D,A) ) ) ) ) => v1_waybel_5(A) ) ) )).
fof(l47_zmodul04,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k13_zmodul02(A,B,k1_zmodul01(B,D,k5_int_1(C,A))) = k13_zmodul02(A,B,k1_zmodul01(B,D,C)) ) ) ) ) )).
fof(l48_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_algstr_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_algstr_1)) => k6_algstr_0(k2_algstr_1,A,B) = k6_algstr_0(k2_algstr_1,B,A) ) ) )).
fof(l48_analmetr,axiom,( r1_analmetr(c1__analmetr,c2__analmetr,c3__analmetr) )).
fof(l48_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ~ ( ~ r1_arytm_2(A,B) & ! [C] : ( m1_subset_1(C,k2_arytm_2) => ~ ( r2_tarski(C,k5_arytm_3) & ~ r1_arytm_2(A,C) & ~ r1_arytm_2(C,B) ) ) ) ) ) )).
fof(l48_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v1_xreal_0(D) => ( ( v2_comseq_2(A) & k1_seq_2(A) = D & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(C,E) => k8_nat_1(k1_numbers,A,E) = k8_nat_1(k1_numbers,B,E) ) ) ) => ( v2_comseq_2(B) & k1_seq_2(B) = D ) ) ) ) ) ) )).
fof(l48_borsuk_5,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => v3_rcomp_1(k2_rcomp_1(A,B)) ) ) )).
fof(l48_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( ( k1_relset_1(k4_ordinal1,A) = 1 | k1_afinsq_1(A) = 1 ) => k7_afinsq_2(A) = k1_funct_1(A,k5_numbers) ) ) )).
fof(l48_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_tarski(B)))) => ~ ( ! [D] : ( r2_tarski(D,C) => v1_finset_1(k1_xfamily(D)) ) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,A) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,A) ) => ( r1_tarski(D,E) => ! [F] : ( r2_hidden(k4_tarski(D,F),C) => r2_hidden(k4_tarski(E,F),C) ) ) ) ) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,A) ) => ! [E] : ! [F] : ( ( r2_hidden(k4_tarski(D,E),C) & r2_hidden(k4_tarski(D,F),C) ) => r2_tarski(k2_tarski(E,F),B) ) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & v8_cohsp_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( C = k6_cohsp_1(A,B,D) & ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,B,D,E) = k7_relat_1(C,k3_cohsp_1(A,E)) ) ) ) ) ) ) ) )).
fof(l48_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => r2_tarski(k8_cqc_lang(A,k11_cqc_lang(A,C,B),B),a_2_0_cqc_the1(A,D)) ) ) ) ) )).
fof(l48_csspace4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(B) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(k1_funct_1(B,D),A) ) ) | r1_xxreal_0(k1_seq_2(B),A) ) ) ) ) )).
fof(l48_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) ) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k1_ec_pf_2(A)) => ! [C] : ( m2_subset_1(C,k3_ec_pf_1(k9_int_3(A)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) => m2_subset_1(k4_domain_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),k4_ec_pf_2(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B),C),k4_algstr_0(k9_int_3(A),k5_ec_pf_2(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B),C)),k6_ec_pf_2(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B),C)),k3_ec_pf_1(k9_int_3(A)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) ) ) ) )).
fof(l48_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k1_funct_1(C,D) = k12_euclid(k5_algstr_0(k15_euclid(A),D,B)) ) & v5_pre_topc(C,k15_euclid(A),k3_topmetr) ) ) ) )).
fof(l48_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,2)))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(B,C) = 1 ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,2)),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,2)),A),C) = k4_xcmplx_0(k3_xcmplx_0(2,k1_funct_1(k16_sin_cos,C))) ) ) ) ) ) ) )).
fof(l48_fib_num4,axiom,( ~ r1_xxreal_0(4,k2_xcmplx_0(k6_xcmplx_0(1,k3_xcmplx_0(2,k3_square_1(5))),5)) )).
fof(l48_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k1_nat_1(A,k5_numbers))),k2_finseq_1(A)),k14_finseq_1(k2_finseq_1(A))) ) )).
fof(l48_fomodel3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k35_fomodel1(C)) => k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),k35_fomodel1(C)),k7_fomodel2(C,k35_fomodel1(C),D,k7_fomodel3(C,A)),k1_nat_1(B,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),B)) = k3_fomodel2(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),B)) ) ) ) )).
fof(l48_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k4_gfacirc1)) & H = k1_funct_1(F,D) ) => k1_funct_1(k6_circuit2(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F),k36_gfacirc1(k24_gfacirc1(A,B,C),E,D)) = k2_binarith(G,k8_margrel1(H)) ) ) ) ) ) ) ) ) )).
fof(l48_funct_9,axiom,( v1_funct_9(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos)),k7_xcmplx_0(k28_sin_cos,2)) )).
fof(l48_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analmetr(A,C,D) => B = k3_rlvect_1(A,k1_rlvect_1(A,C,k2_geomtrap(A,C,D,B)),k1_rlvect_1(A,D,k3_geomtrap(A,C,D,B))) ) ) ) ) ) )).
fof(l48_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( r2_tarski(C,k27_glib_000(A,B)) <=> ( r2_tarski(C,k7_glib_000(A)) & k1_funct_1(k10_glib_000(A),C) = B ) ) ) ) )).
fof(l48_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k4_glib_001(A,B) = k3_glib_001(A,C) => ( k3_glib_001(A,k7_glib_001(A,B,C)) = k3_glib_001(A,B) & k4_glib_001(A,k7_glib_001(A,B,C)) = k4_glib_001(A,C) & r1_glib_001(A,k3_glib_001(A,B),k4_glib_001(A,C),k7_glib_001(A,B,C)) ) ) ) ) ) )).
fof(l48_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( k6_algstr_0(C,D,E) = k6_algstr_0(C,E,D) => k6_algstr_0(C,k5_group_1(C,D,B),k5_group_1(C,E,A)) = k6_algstr_0(C,k5_group_1(C,E,A),k5_group_1(C,D,B)) ) ) ) ) ) ) )).
fof(l48_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_numbers) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finseq_1(C) & v1_partfun3(C) & v1_int_6(C) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => r2_int_1(k1_funct_1(k8_rvsum_1(k1_int_6(A,C),k1_int_6(B,C)),D),k6_xcmplx_0(A,B),k1_funct_1(C,D)) ) ) ) ) ) )).
fof(l48_integra8,axiom,( k9_xtuple_0(k22_sin_cos) = k1_numbers )).
fof(l48_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => ! [D] : ( m1_subset_1(D,k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(k3_intpro_1(k3_intpro_1(B,C),k3_intpro_1(A,C)),D),k3_intpro_1(k3_intpro_1(A,B),D)),k8_intpro_1) ) ) ) ) )).
fof(l48_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,C) => ! [G] : ( m2_cat_1(G,A,C) => ( ( r1_nattra_1(A,B,D,E) & r1_nattra_1(A,C,F,G) ) => ! [H] : ( m1_nattra_1(H,A,B,D,E) => ! [I] : ( m1_nattra_1(I,A,C,F,G) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => r2_tarski(k3_funct_2(u1_struct_0(A),k2_zfmisc_1(u4_struct_0(B),u4_struct_0(C)),k14_funct_3(u1_struct_0(A),u4_struct_0(B),u4_struct_0(C),H,I),J),k2_cat_1(k6_cat_2(B,C),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),J),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,E,G),J))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l48_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B)))),k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) )).
fof(l48_jordan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_borsuk_2(G,A,B,C) => ! [H] : ( m1_borsuk_2(H,A,C,D) => ! [I] : ( m1_borsuk_2(I,A,D,E) => ! [J] : ( m1_borsuk_2(J,A,E,F) => ( ( r1_borsuk_6(A,B,C) & r1_borsuk_6(A,C,D) & r1_borsuk_6(A,D,E) & r1_borsuk_6(A,E,F) ) => k2_relset_1(u1_struct_0(A),k1_borsuk_2(A,B,E,F,k1_borsuk_2(A,B,D,E,k1_borsuk_2(A,B,C,D,G,H),I),J)) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),G),k2_relset_1(u1_struct_0(A),H)),k2_relset_1(u1_struct_0(A),I)),k2_relset_1(u1_struct_0(A),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l48_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( E = a_4_8_jordan1(A,B,C,D) & F = a_4_7_jordan1(A,B,C,D) ) => ( r1_xxreal_0(C,A) | r1_xxreal_0(D,B) | k2_pre_topc(k15_euclid(2),F) = k4_subset_1(u1_struct_0(k15_euclid(2)),E,F) ) ) ) ) ) ) ) ) )).
fof(l48_jordan5d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( k17_euclid(B) = k8_pscomp_1(k3_topreal1(2,D)) & r2_tarski(B,k3_topreal1(2,D)) & C = a_1_9_jordan5d(D) & A = k1_xxreal_2(C) ) => r1_xxreal_0(k18_euclid(B),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),k3_finseq_1(k2_goboard2(D)),A))) ) ) ) ) ) )).
fof(l48_lattice8,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(4,A) & A != 1 & A != 2 & A != 3 ) ) )).
fof(l48_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,C) => ( k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,F,G)) = a_7_0_lfuzzy_1(A,B,C,D,E,F,G) & k2_relset_1(k1_numbers,k2_fuzzy_4(A,B,C,D,E,F,G)) != k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(l48_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_matrlin(E,A,B) => ! [F] : ( m1_matrlin(F,A,C) => k9_xtuple_0(k10_matrlin(A,B,C,D,E,F)) = k9_xtuple_0(E) ) ) ) ) ) ) )).
fof(l48_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc2(A,B,D) & r1_mesfunc2(A,B,E) & k1_relset_1(A,E) = k1_relset_1(A,D) ) => ( k1_relset_1(A,D) = k1_xboole_0 | ( r1_mesfunc2(A,B,k3_mesfunc1(A,D,E)) & k1_relset_1(A,k3_mesfunc1(A,D,E)) != k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(l48_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_midsp_3(B,A) => ! [C] : ( m2_midsp_3(C,A) => ! [D] : ( ( v4_midsp_2(D,C) & l1_midsp_2(D,C) ) => ( ! [E] : ( m2_finseq_2(E,u1_struct_0(u1_midsp_2(C,D)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(C,D)))) => ! [F] : ( m1_subset_1(F,u1_struct_0(u1_midsp_2(C,D))) => k10_midsp_3(A,C,D,k1_midsp_3(u1_struct_0(u1_midsp_2(C,D)),k1_nat_1(A,1),E,B,k1_algstr_0(u1_midsp_2(C,D),k5_midsp_3(A,u1_struct_0(u1_midsp_2(C,D)),E,B),F))) = k1_algstr_0(u1_midsp_2(C,D),k10_midsp_3(A,C,D,E),k10_midsp_3(A,C,D,k1_midsp_3(u1_struct_0(u1_midsp_2(C,D)),k1_nat_1(A,1),E,B,F))) ) ) => r2_midsp_3(A,B,C) ) ) ) ) ) )).
fof(l48_mod_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k18_mod_2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k18_mod_2)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k18_mod_2)) => ! [D] : ( m1_subset_1(D,k1_enumset1(k5_numbers,1,2)) => ! [E] : ( m1_subset_1(E,k1_enumset1(k5_numbers,1,2)) => ! [F] : ( m1_subset_1(F,k1_enumset1(k5_numbers,1,2)) => ( ( D = A & E = B & F = C ) => ( k1_algstr_0(k18_mod_2,k1_algstr_0(k18_mod_2,A,B),C) = k11_mod_2(k11_mod_2(D,E),F) & k1_algstr_0(k18_mod_2,A,k1_algstr_0(k18_mod_2,B,C)) = k11_mod_2(D,k11_mod_2(E,F)) & k6_algstr_0(k18_mod_2,k6_algstr_0(k18_mod_2,A,B),C) = k12_mod_2(k12_mod_2(D,E),F) & k6_algstr_0(k18_mod_2,A,k6_algstr_0(k18_mod_2,B,C)) = k12_mod_2(D,k12_mod_2(E,F)) ) ) ) ) ) ) ) ) )).
fof(l48_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v2_mod_4(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_algstr_0(A,D)) = k4_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) )).
fof(l48_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v4_modelc_1(A) | v7_modelc_1(A) ) => ( ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(k15_modelc_1(A))) & ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(k16_modelc_1(A))) ) ) ) )).
fof(l48_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ~ r2_tarski(k1_xboole_0,B) ) ) )).
fof(l48_ncfcont2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,B,D))) & ~ r1_xxreal_0(k7_xcmplx_0(E,2),k2_normsp_0(A,k5_algstr_0(A,C,D))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) ) ) ) ) )).
fof(l48_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(C,A) & v1_o_ring_1(B,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),B)),A) ) ) ) ) )).
fof(l48_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_polyred(A,B,C,D,E) <=> ~ ( ~ ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),D,k8_polynom1(A,C)) & E != k8_polynom1(A,C) ) & ~ r2_termord(A,B,k3_termord(A,B,C,D),k3_termord(A,B,C,E)) & ~ ( k3_termord(A,B,C,D) = k3_termord(A,B,C,E) & r2_polyred(A,B,C,k6_termord(A,B,C,D),k6_termord(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(l48_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(B,u1_struct_0(k6_poset_1(A,A))) ) ) ) )).
fof(l48_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => k3_rmod_2(A,B,k4_struct_0(B),C) = u1_struct_0(C) ) ) ) )).
fof(l48_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_struct_0(B,C) <=> k3_rusub_1(A,C,B) = u1_struct_0(B) ) ) ) ) )).
fof(l48_scmbsort,axiom,( k4_scmfsa_2(3) != k4_scmfsa_2(5) )).
fof(l48_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( r5_scmfsa7b(B,k1_scmfsa_m(D),A) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),2))) = k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),1) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),2))) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),2),E) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),E)) = k2_compos_1(k1_scmfsa_2) ) ) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),E)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),E)) ) ) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),1))) = k4_card_1(B) & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))) & k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(k2_scmfsa6a(k2_scmfsa6a(B,k1_scmfsa8a(k1_nat_1(k4_card_1(C),1))),C),k4_compos_1(k1_scmfsa_2))),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))) = k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),k1_funct_4(D,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),2) ) ) ) ) ) ) )).
fof(l48_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( ~ r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(4,1))),k5_numbers) => k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))),B,A),k4_scmfsa_2(k1_nat_1(3,1))) = k1_funct_1(B,k4_scmfsa_2(k1_nat_1(3,1))) ) & ( r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(4,1))),k5_numbers) => k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))),B,A),k4_scmfsa_2(k1_nat_1(3,1))) = k2_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(3,1))),1) ) ) ) ) )).
fof(l48_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ~ ( r2_tarski(A,a_0_5_scmpds_2) & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 9 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 10 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 11 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 12 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 13 ) ) )).
fof(l48_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => k11_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1))) = k2_xcmplx_0(k1_funct_1(k18_sin_cos,A),k3_xcmplx_0(k1_funct_1(k16_sin_cos,A),k7_complex1)) ) )).
fof(l48_sin_cos2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,A,k7_binop_2) => ! [B] : ( v1_xreal_0(B) => ( r1_fdiff_1(A,B) & k1_fdiff_1(A,B) = k4_xcmplx_0(1) ) ) ) ) )).
fof(l48_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k6_xcmplx_0(k1_square_1(k1_funct_1(k3_sin_cos2,A)),1) = k1_square_1(k1_funct_1(k1_sin_cos2,A)) ) )).
fof(l48_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,1) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k5_numbers,k6_xcmplx_0(1,k1_square_1(A))) ) ) ) )).
fof(l48_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( v1_topreal1(A) => v1_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(l48_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l48_srings_2,axiom,( k3_xboole_0(k1_tarski(3),k1_tarski(4)) = k1_xboole_0 )).
fof(l48_stirl2_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ~ ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_afinsq_1(B)) => v1_finset_1(k1_funct_1(B,C)) ) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k2_afinsq_1(B)) & r2_tarski(D,k2_afinsq_1(B)) ) => ( C = D | r1_xboole_0(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) & ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ~ ( k2_afinsq_1(C) = k2_afinsq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_afinsq_1(C)) => k1_funct_1(C,D) = k1_card_1(k1_funct_1(B,D)) ) ) & k1_card_1(k3_tarski(k2_relset_1(A,B))) = k7_afinsq_2(C) ) ) ) ) ) )).
fof(l48_subset_1,axiom,( ! [A] : ! [B] : ( ! [C] : ( r2_hidden(C,A) => r2_hidden(C,B) ) => m1_subset_1(A,k1_zfmisc_1(B)) ) )).
fof(l48_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r1_borsuk_6(A,B,C) & ! [D] : ( ( v1_partfun1(D,k1_topalg_1(A,B,C)) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_topalg_1(A,B,C),k1_topalg_1(A,B,C)))) ) => ~ ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ( r2_hidden(E,k1_topalg_1(A,B,C)) & r2_hidden(F,k1_topalg_1(A,B,C)) & ? [G] : ( m1_borsuk_2(G,A,B,C) & ? [H] : ( m1_borsuk_2(H,A,B,C) & G = E & H = F & r3_borsuk_2(A,B,C,G,H) ) ) ) ) ) ) ) ) ) )).
fof(l48_topalg_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_toprealb(2,B,A))) => r2_group_6(k2_gr_cy_1,k5_topalg_1(k7_toprealb(2,B,A),C)) ) ) ) )).
fof(l48_tops_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(A,C) & B = k6_subset_1(C,A) ) => r1_tarski(A,k6_subset_1(C,B)) ) )).
fof(l48_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),E,k3_matrlin(A,B,B,C,D)),k3_matrlin(A,B,B,k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),E,C),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),E,D))) ) ) ) ) ) )).
fof(l48_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_5(A) & l1_orders_2(A) ) => ( v2_waybel_1(A) & v3_waybel_3(A) & v3_waybel_3(k7_lattice3(A)) ) ) )).
fof(l48_waybel_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_compts_1(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( C = D & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v5_pre_topc(k4_waybel_1(A,E),A,A) ) & v10_waybel_0(B,A) & r3_waybel_9(A,B,C) ) => r2_lattice3(A,k2_relset_1(u1_struct_0(A),u1_waybel_0(A,B)),D) ) ) ) ) ) )).
fof(l48_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k5_numbers,k6_xcmplx_0(B,A)) ) ) ) )).
fof(l49_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [D] : ( m2_finseq_2(D,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [E] : ( m2_finseq_2(E,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [F] : ( m2_finseq_2(F,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [G] : ( m2_finseq_2(G,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ( ( F = k1_funct_1(k1_descip_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k2_xcmplx_0(7,B),k1_aescip_1(k2_xcmplx_0(7,B),4,k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,B),E)),1) & G = k1_funct_1(k1_aescip_1(k2_xcmplx_0(7,B),4,k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,B),E),k2_xcmplx_0(7,B)) & D = k2_aescip_1(4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k8_aescip_1,k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_aescip_1(A),k6_aescip_1),C),G) ) => ( ( B != 4 & B != 6 & B != 8 ) | k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k1_partfun1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k7_aescip_1,k5_aescip_1(A)),k2_aescip_1(4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k8_aescip_1,D,F)) = C ) ) ) ) ) ) ) ) ) )).
fof(l49_analmetr,axiom,( ~ v7_struct_0(g1_analoaf(u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr)),u1_analoaf(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr)))) & v1_diraf(g1_analoaf(u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr)),u1_analoaf(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr)))) & l1_analoaf(g1_analoaf(u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr)),u1_analoaf(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr)))) & ! [A] : ( m1_subset_1(A,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ( ( r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,A,B) => A = B ) & r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,C,C) & ( r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,C,D) => ( r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,D,C) & r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),C,D,A,B) ) ) & ~ ( r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,E,F) & r2_analoaf(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,G,H) & ~ r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),E,F,G,H) & A != B ) & ( ( r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,E,F) & r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,E,H) ) => r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,F,H) ) ) ) ) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ~ ( A != B & ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ~ ( r2_analoaf(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,A,D) & r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,D,C) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) => ? [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr))) & r4_analmetr(k2_analmetr(c1__analmetr,c2__analmetr,c3__analmetr),A,B,C,D) & C != D ) ) ) ) )).
fof(l49_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(A,B) & r1_arytm_2(B,C) ) => r1_arytm_2(A,C) ) ) ) ) )).
fof(l49_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(1,A) => r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),A),1),k1_square_1(A)) ) ) )).
fof(l49_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v6_bcialg_3(A) & l2_bcialg_1(A) ) => ( v11_bcialg_3(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_bcialg_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)) = C ) ) ) ) ) )).
fof(l49_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k4_calcul_1(A),k2_cqc_the1)) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(C)) ) => m2_finseq_1(k1_xtuple_0(k1_funct_1(C,B)),k3_cqc_lang(A)) ) ) ) ) )).
fof(l49_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( k1_relset_1(k4_ordinal1,A) = k1_relset_1(k4_ordinal1,B) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_afinsq_1(A)) => k1_funct_1(A,C) = k1_funct_1(B,k7_nat_d(k1_afinsq_1(A),k2_xcmplx_0(1,C))) ) ) ) => k7_afinsq_2(A) = k7_afinsq_2(B) ) ) ) )).
fof(l49_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(A))) => ( r2_tarski(k8_cqc_lang(A,B,C),a_2_0_cqc_the1(A,E)) => ( r2_tarski(D,k24_qc_lang1(A,B)) | r2_tarski(k8_cqc_lang(A,B,k11_cqc_lang(A,D,C)),a_2_0_cqc_the1(A,E)) ) ) ) ) ) ) ) )).
fof(l49_descip_1,axiom,( ! [A] : ( m2_finseq_2(A,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => k26_descip_1(k24_descip_1(A)) = A ) )).
fof(l49_diff_1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) & ! [B] : ( v7_ordinal1(B) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,A,B)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,A,B),k4_ordinal1,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,A,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) ) )).
fof(l49_fib_num4,axiom,( ~ r1_xxreal_0(4,k2_xcmplx_0(k6_xcmplx_0(k1_pepin(1),k3_xcmplx_0(k3_xcmplx_0(2,1),k3_square_1(5))),k1_square_1(k3_square_1(5)))) )).
fof(l49_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k2_xcmplx_0(B,A))),k2_finseq_1(B)),k14_finseq_1(k2_finseq_1(B))) ) => ! [B] : ( v7_ordinal1(B) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k1_nat_1(B,k1_nat_1(A,1)))),k2_finseq_1(B)),k14_finseq_1(k2_finseq_1(B))) ) ) ) )).
fof(l49_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel1(k29_fomodel1(A),A) ) )).
fof(l49_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => r2_funct_2(k35_fomodel1(B),k35_fomodel1(B),k9_fomodel2(B,k35_fomodel1(B),k7_fomodel3(B,A)),k3_fomodel2(k35_fomodel1(B))) ) )).
fof(l49_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),k33_gfacirc1(k24_gfacirc1(A,B,C),E,D)) = k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(G,k8_margrel1(H)),I),K),k9_margrel1(K,k8_margrel1(J))),k9_margrel1(k8_margrel1(J),k2_binarith(k2_binarith(G,k8_margrel1(H)),I)))) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l49_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos)),k3_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k2_xcmplx_0(A,1))) ) )).
fof(l49_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => r2_hidden(k1_fvaluat1(k2_relset_1(k6_numbers,B)),k1_numbers) ) ) ) )).
fof(l49_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r1_analmetr(A,C,D) & B = k3_rlvect_1(A,k1_rlvect_1(A,C,E),k1_rlvect_1(A,D,F)) ) => ( E = k2_geomtrap(A,C,D,B) & F = k3_geomtrap(A,C,D,B) ) ) ) ) ) ) ) ) )).
fof(l49_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) => ( k1_funct_1(k7_glib_001(A,B,C),D) = k1_funct_1(B,D) & r2_tarski(D,k1_relset_1(k4_ordinal1,k7_glib_001(A,B,C))) ) ) ) ) ) ) )).
fof(l49_groeb_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k7_subset_1(u1_struct_0(A),B,k1_tarski(k4_struct_0(A))) => ! [D] : ( m1_ideal_1(D,A,B) => ! [E] : ~ ( E = k4_rlvect_1(A,D) & ! [F] : ( m1_ideal_1(F,A,C) => E != k4_rlvect_1(A,F) ) ) ) ) ) ) ) )).
fof(l49_group_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( k6_algstr_0(B,C,D) = k6_algstr_0(B,D,C) => k5_group_1(B,k6_algstr_0(B,C,D),A) = k6_algstr_0(B,k5_group_1(B,C,A),k5_group_1(B,D,A)) ) ) ) ) ) )).
fof(l49_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k4_real_ns1(A))) => ( ( B = D & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k2_finseq_1(A)) & ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( F = k4_finseqop(k1_euclid(A),k1_numbers,B,k1_pdiff_1(E,A)) & k1_funct_1(C,E) = k18_rvsum_1(F) ) ) ) ) ) => C = k4_rlvect_1(k4_real_ns1(A),D) ) ) ) ) ) )).
fof(l49_integra8,axiom,( k9_xtuple_0(k1_sin_cos2) = k1_numbers )).
fof(l49_jgraph_2,axiom,( v4_pre_topc(a_0_6_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_6_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(l49_jordan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_borsuk_2(G,A,B,C) => ! [H] : ( m1_borsuk_2(H,A,C,D) => ! [I] : ( m1_borsuk_2(I,A,D,E) => ! [J] : ( m1_borsuk_2(J,A,E,F) => k2_relset_1(u1_struct_0(A),k1_borsuk_2(A,B,E,F,k1_borsuk_2(A,B,D,E,k1_borsuk_2(A,B,C,D,G,H),I),J)) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),G),k2_relset_1(u1_struct_0(A),H)),k2_relset_1(u1_struct_0(A),I)),k2_relset_1(u1_struct_0(A),J)) ) ) ) ) ) ) ) ) ) ) )).
fof(l49_jordan4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_jordan4(A,B,C,D) => ( r1_xxreal_0(C,D) | r1_topreal4(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C),k7_partfun1(u1_struct_0(k15_euclid(2)),A,D)) ) ) ) ) ) ) )).
fof(l49_jordan5d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( k18_euclid(B) = k9_pscomp_1(k3_topreal1(2,D)) & r2_tarski(B,k3_topreal1(2,D)) & C = a_1_10_jordan5d(D) & A = k4_seq_4(C) ) => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),A,1)),k17_euclid(B)) ) ) ) ) ) )).
fof(l49_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_lattices(A,B,C) = k2_lattices(A,C,B) => k1_lattices(A,k2_lattices(A,B,C),B) = B ) ) ) ) )).
fof(l49_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,C) => k7_lfuzzy_0(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,E),k1_domain_1(A,C,F,G)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_7_0_lfuzzy_1(A,B,C,D,E,F,G)) ) ) ) ) ) ) ) )).
fof(l49_matrtop3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))) & v13_vectsp_1(D,k15_euclid(C),k15_euclid(C)) & v1_topreal9(D,C) & v2_matrtop3(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))))) ) => ( v1_matrtop3(D,A) => ( r2_tarski(B,A) | k1_funct_1(D,k6_matrixr2(C,B)) = k6_matrixr2(C,B) ) ) ) ) ) )).
fof(l49_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v4_xxreal_2(A) => v3_xxreal_2(k3_measure6(A)) ) ) )).
fof(l49_mod_2,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) => ! [B] : ( m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) => ! [C] : ( m1_subset_1(C,k1_enumset1(k5_numbers,1,2)) => ! [D] : ( m1_subset_1(D,k1_enumset1(k5_numbers,1,2)) => ( D = k5_numbers => ( k11_mod_2(A,k10_mod_2(A)) = D & k11_mod_2(A,D) = A & k11_mod_2(k11_mod_2(A,B),C) = k11_mod_2(A,k11_mod_2(B,C)) ) ) ) ) ) ) )).
fof(l49_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( v2_mod_4(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_algstr_0(A,D,E)) = k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(l49_modal_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k14_trees_3(k5_numbers),k1_relset_1(k2_trees_1(1),k7_funcop_1(k2_trees_1(1),k4_tarski(A,B)))) ) ) )).
fof(l49_ncfcont2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(C,k2_normsp_0(A,B)) ) ) => B = k4_struct_0(A) ) ) ) )).
fof(l49_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(C,A) & v1_o_ring_1(B,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),B)),k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l49_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_relat_2(A,B) => v1_relat_2(k2_wellord1(A,B)) ) ) )).
fof(l49_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlaffin1(B,A) => ! [C] : ( m2_rlvect_2(C,A,B) => ( ( k6_rlvect_2(A,C) = k4_struct_0(A) & k3_rlaffin1(A,C) = k5_numbers ) => k3_rlvect_2(A,C) = k1_xboole_0 ) ) ) ) ) )).
fof(l49_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => k3_rlsub_1(A,k4_struct_0(A),B) = u1_struct_0(B) ) ) )).
fof(l49_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_rlvect_1(B) & m1_rlsub_1(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(B,C) ) => B = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) ) ) )).
fof(l49_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_bhsp_1(B) & m1_rusub_1(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(B,C) ) => B = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) ) ) ) )).
fof(l49_scmbsort,axiom,( k4_scmfsa_2(3) != k4_scmfsa_2(6) )).
fof(l49_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ~ ( B != k4_scmfsa_2(k1_nat_1(3,1)) & B != k4_scmfsa_2(k1_nat_1(1,1)) & k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))),C,A),B) != k1_funct_1(C,B) ) ) ) ) )).
fof(l49_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ( r2_tarski(A,k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) => k5_compos_0(u1_compos_1(k1_scmpds_2),A) = k5_numbers ) ) )).
fof(l49_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,B,k7_binop_2) => ( r1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),A) & k1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),A) = k3_xcmplx_0(k4_xcmplx_0(1),k1_funct_1(k22_sin_cos,k1_funct_1(B,A))) ) ) ) ) )).
fof(l49_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,1) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k5_numbers,k6_xcmplx_0(4,k3_xcmplx_0(4,k1_square_1(A)))) ) ) ) )).
fof(l49_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( v1_topreal1(A) => v1_topreal1(k2_rfinseq(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(l49_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l49_srings_2,axiom,( k3_setfam_1(k1_srings_2,k1_srings_2) = k7_enumset1(k2_enumset1(1,2,3,4),k1_enumset1(1,2,3),k1_enumset1(2,3,4),k1_tarski(1),k1_tarski(2),k1_tarski(3),k1_tarski(4),k1_xboole_0,k2_tarski(2,3)) )).
fof(l49_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( r2_hidden(C,B) => m1_subset_1(C,A) ) ) )).
fof(l49_termord,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v3_orders_1(C) => r3_orders_1(C,B) ) ) ) )).
fof(l49_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( v13_vectsp_1(E,B,B) & v1_mod_2(E,A,B,B) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),k3_matrlin(A,B,B,C,D),E),k3_matrlin(A,B,B,k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),C,E),k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),D,E))) ) ) ) ) ) ) )).
fof(l49_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => k3_vectsp_4(A,B,k4_struct_0(B),C) = u1_struct_0(C) ) ) ) )).
fof(l49_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v2_funct_2(k2_waybel_1(A,B,C),u1_struct_0(k1_yellow_2(A,B,C))) ) ) ) )).
fof(l49_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ( v2_waybel_1(A) & v3_waybel_3(A) & v3_waybel_3(k7_lattice3(A)) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k1_yellow_0(A,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => v6_waybel_6(D,A) ) ) ) ) ) ) )).
fof(l49_waybel_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_compts_1(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( C = D & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v5_pre_topc(k4_waybel_1(A,E),A,A) ) & r3_waybel_9(A,B,C) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_lattice3(A,k2_relset_1(u1_struct_0(A),u1_waybel_0(A,B)),E) => r3_orders_2(A,D,E) ) ) ) ) ) ) ) )).
fof(l4_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,D,E,B,C) ) ) ) ) ) ) )).
fof(l4_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_diraf(A,B,C,C,B) ) ) ) )).
fof(l4_algstr_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_vectsp_1)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_vectsp_1)) => ( k8_group_1(k2_vectsp_1,A,B) = k8_group_1(k2_vectsp_1,A,C) => ( A = k4_struct_0(k2_vectsp_1) | B = C ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_vectsp_1)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_vectsp_1)) => ( k8_group_1(k2_vectsp_1,B,A) = k8_group_1(k2_vectsp_1,C,A) => ( A = k4_struct_0(k2_vectsp_1) | B = C ) ) ) ) ) )).
fof(l4_altcat_5,axiom,( m1_subset_1(k1_xboole_0,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) )).
fof(l4_altcat_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [C] : ( m1_subset_1(C,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) => C = k1_xboole_0 ) ) ) )).
fof(l4_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_partfun1(E,u1_struct_0(B)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(B)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => r2_tarski(k5_memstr_0(A,B,k4_extpro_1(A,B,k1_funct_7(E,k4_struct_0(B),D),k1_funct_7(F,D,C))),k1_amistd_1(A,B,D,C)) ) ) ) ) ) ) )).
fof(l4_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ( B != k4_struct_0(A) & C != k4_struct_0(A) ) ) ) ) ) )).
fof(l4_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => k1_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,C,F),k1_rlvect_1(A,D,G)),k1_rlvect_1(A,B,H)),E) = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,C,k3_xcmplx_0(E,F)),k1_rlvect_1(A,D,k3_xcmplx_0(E,G))),k1_rlvect_1(A,B,k3_xcmplx_0(E,H))) ) ) ) ) ) ) ) ) )).
fof(l4_arithm,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l4_arytm_2,axiom,( r1_xboole_0(k5_arytm_3,a_0_1_arytm_2) )).
fof(l4_asympt_1,axiom,( ! [A] : ( ( v1_xreal_0(A) & v1_asympt_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,B,C) = k3_power(A,C) ) ) => ( r1_xxreal_0(A,1) | v4_asympt_0(B) ) ) ) ) )).
fof(l4_axioms,axiom,( r2_tarski(k1_xboole_0,k1_tarski(k1_xboole_0)) )).
fof(l4_bcialg_4,axiom,( v3_bcialg_1(k2_bcialg_4) & v4_bcialg_1(k2_bcialg_4) & v5_bcialg_1(k2_bcialg_4) & v7_bcialg_1(k2_bcialg_4) & v8_bcialg_1(k2_bcialg_4) & v2_bcialg_4(k2_bcialg_4) )).
fof(l4_bhsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),A,B)) = k5_numbers ) ) & r2_hidden(k4_struct_0(o_0_5_bhsp_1),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) )).
fof(l4_binom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),B))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,k4_ordinal1),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1),B))) & ! [F] : ( m1_subset_1(F,A) => ( k2_binop_1(A,k4_ordinal1,B,E,F,k5_numbers) = C & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k2_binop_1(A,k4_ordinal1,B,E,F,k1_nat_1(G,1)) = k2_binop_1(B,A,B,D,k2_binop_1(A,k4_ordinal1,B,E,F,G),F) ) ) ) ) ) ) ) ) )).
fof(l4_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) ) => ( r1_t_0topsp(A,B) => r1_t_0topsp(B,A) ) ) ) )).
fof(l4_borsuk_7,axiom,( r2_tarski(k5_numbers,k1_tarski(k5_numbers)) )).
fof(l4_bvfunc14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = k9_funct_4(A,B,C,D,E,F) => k10_xtuple_0(G) = k1_enumset1(k1_funct_1(G,A),k1_funct_1(G,B),k1_funct_1(G,C)) ) ) )).
fof(l4_calcul_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ~ ( r1_calcul_1(A,B) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k1_relset_1(k4_ordinal1,A)) & k1_funct_1(A,C) = B ) ) ) ) )).
fof(l4_card_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ! [D] : ( C != D => ( r2_wellord2(k10_ordinal2(A,B),k2_xboole_0(k2_zfmisc_1(A,k1_tarski(C)),k2_zfmisc_1(B,k1_tarski(D)))) & k1_card_1(k10_ordinal2(A,B)) = k1_card_1(k2_xboole_0(k2_zfmisc_1(A,k1_tarski(C)),k2_zfmisc_1(B,k1_tarski(D)))) ) ) ) ) )).
fof(l4_card_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k3_xcmplx_0(k1_newton(2,A),k1_nat_1(k3_xcmplx_0(2,D),1)) = k3_xcmplx_0(k1_newton(2,B),k1_nat_1(k3_xcmplx_0(2,C),1)) => r1_xxreal_0(A,B) ) ) ) ) ) )).
fof(l4_collsp,axiom,( r2_tarski(1,k6_domain_1(k4_ordinal1,1)) )).
fof(l4_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k1_funct_1(k7_comseq_3(A),C)) & k1_funct_1(k8_comseq_3(A),C) = k5_numbers ) ) => k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A)),B) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) ) ) ) )).
fof(l4_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v1_comseq_2(A) & v1_comseq_2(B) ) => v1_comseq_2(k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B)) ) ) ) )).
fof(l4_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,D,E,B,C) ) ) ) ) ) ) )).
fof(l4_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) => ~ v1_xboole_0(B) ) ) )).
fof(l4_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => m2_finseq_1(A,k1_numbers) ) )).
fof(l4_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ( k1_funct_1(k6_euclid(3,A),1) = k4_xcmplx_0(k1_funct_1(A,1)) & k1_funct_1(k6_euclid(3,A),2) = k4_xcmplx_0(k1_funct_1(A,2)) & k1_funct_1(k6_euclid(3,A),3) = k4_xcmplx_0(k1_funct_1(A,3)) ) ) )).
fof(l4_fdiff_1,axiom,( v1_funct_1(k8_funcop_1(k1_numbers,k1_numbers,k10_subset_1(k5_numbers,k1_numbers))) & v1_funct_2(k8_funcop_1(k1_numbers,k1_numbers,k10_subset_1(k5_numbers,k1_numbers)),k1_numbers,k1_numbers) & m1_subset_1(k8_funcop_1(k1_numbers,k1_numbers,k10_subset_1(k5_numbers,k1_numbers)),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) )).
fof(l4_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(k1_funct_1(k16_sin_cos,A),k5_numbers) & ~ r1_xxreal_0(1,k1_funct_1(k18_sin_cos,A)) & ~ r1_xxreal_0(k1_funct_1(k18_sin_cos,A),k4_xcmplx_0(1)) & k7_xcmplx_0(k1_funct_1(k16_sin_cos,A),k6_prepower(k6_xcmplx_0(1,k1_funct_1(k18_sin_cos,A)),k7_xcmplx_0(1,2))) != k6_prepower(k2_xcmplx_0(1,k1_funct_1(k18_sin_cos,A)),k7_xcmplx_0(1,2)) ) ) )).
fof(l4_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => k3_xcmplx_0(2,k1_square_1(k1_funct_1(k18_sin_cos,k7_xcmplx_0(A,2)))) = k2_xcmplx_0(1,k1_funct_1(k18_sin_cos,A)) ) )).
fof(l4_fib_fusc,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(A,k5_numbers) => ( k3_power(2,k2_nat_1(2,A)) = k2_xcmplx_0(1,k3_power(2,A)) & k3_power(2,k2_nat_1(2,A)) = k2_xcmplx_0(k3_power(2,A),1) ) ) ) )).
fof(l4_fib_num,axiom,( k1_nat_1(k1_nat_1(k5_numbers,1),1) = 2 )).
fof(l4_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( r1_xxreal_0(1,k3_finseq_1(B)) & v2_binop_1(C,A) & v1_binop_1(C,A) ) => k1_finsop_1(A,B,C) = k7_setwiseo(k4_ordinal1,A,C,k3_finsop_1(B),k2_finsop_1(A,k8_funcop_1(A,k4_ordinal1,k3_binop_1(A,C)),B)) ) ) ) ) )).
fof(l4_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) => ? [C] : ( m1_subset_1(C,k4_ordinal1) & m2_subset_1(B,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),C))) ) ) ) )).
fof(l4_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v8_pre_topc(A) => v7_pre_topc(A) ) ) )).
fof(l4_friends1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( ( v3_relat_2(C) & r2_hidden(k4_tarski(A,B),C) ) => r2_hidden(k4_tarski(B,A),C) ) ) )).
fof(l4_functor3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ! [F] : ( m2_pboole(F,A,D,k3_relat_1(C,E)) => r6_pboole(A,k8_pboole(F,k3_relat_1(C,k2_msualg_3(B,E))),F) ) ) ) ) ) )).
fof(l4_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r1_fuzzy_1(B,C) & r1_fuzzy_1(C,B) ) => r2_funct_2(A,k1_numbers,B,C) ) ) ) ) )).
fof(l4_fvaluat1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( A = C & B = D ) => k6_xcmplx_0(A,B) = k3_xxreal_3(C,D) ) ) ) ) ) )).
fof(l4_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ( B != D => k1_funct_1(k1_funct_4(A,k17_funcop_1(B,C)),D) = k1_funct_1(A,D) ) ) )).
fof(l4_graph_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_finset_1(C) => ( C = a_2_0_graph_2(A,B) => k4_card_1(C) = k1_nat_1(B,1) ) ) ) ) )).
fof(l4_grfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ~ ( k3_xboole_0(k10_xtuple_0(C),k10_xtuple_0(D)) = k1_xboole_0 & r2_hidden(A,k9_xtuple_0(C)) & r2_hidden(B,k9_xtuple_0(D)) & k1_funct_1(C,A) = k1_funct_1(D,B) ) ) ) )).
fof(l4_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(A,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k12_polynom1(A,C))) => ( ( F = D & G = E ) => k5_algstr_0(k12_polynom1(A,C),F,G) = k7_polynom1(A,C,D,E) ) ) ) ) ) ) ) ) )).
fof(l4_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v7_aff_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r5_aff_1(A,B,C) & r5_aff_1(A,B,D) & r2_tarski(E,B) & r2_tarski(F,B) & r2_tarski(G,C) & r2_tarski(H,C) & r2_tarski(I,D) & r2_tarski(J,D) & r2_analoaf(A,E,G,F,H) & r2_analoaf(A,E,I,F,J) ) => ( B = C | B = D | r2_analoaf(A,G,I,H,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l4_int_2,axiom,( ! [A] : ( v1_int_1(A) => ( r1_int_1(A,k4_xcmplx_0(A)) & r1_int_1(k4_xcmplx_0(A),A) ) ) )).
fof(l4_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_numbers)) => r1_tarski(k1_integra2(B,A),k4_numbers) ) ) )).
fof(l4_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( v1_xreal_0(D) => ~ ( v1_seq_2(k2_partfun1(A,k1_numbers,B,A)) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m1_integr15(E,A,B,C) => ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k4_finseq_1(C)) & ~ ( r1_xxreal_0(k1_funct_1(E,F),k1_funct_1(k4_integra1(A,B,C),F)) & ~ r1_xxreal_0(k1_funct_1(E,F),k6_xcmplx_0(k1_funct_1(k4_integra1(A,B,C),F),D)) ) ) ) ) ) ) ) ) )).
fof(l4_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,B) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => r1_tarski(k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)),k3_integra5(A,B)) ) ) ) ) ) )).
fof(l4_integr1c,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_numbers)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_numbers)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,C)) & r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,D)) & v3_rcomp_1(E) & v3_rcomp_1(F) & r1_tarski(k1_rcomp_1(A,B),E) & r1_tarski(E,F) & r2_fdiff_1(C,F) & r2_fdiff_1(D,F) & r1_tarski(k2_relset_1(k2_numbers,k2_partfun1(k1_numbers,k2_numbers,k2_valued_1(k1_numbers,k1_numbers,k2_numbers,C,k25_valued_1(k1_numbers,k1_numbers,D,k7_complex1)),k1_rcomp_1(A,B))),k1_relset_1(k2_numbers,G)) ) => k2_integr1c(A,B,C,D,E,G) = k2_integr1c(A,B,C,D,F,G) ) ) ) ) ) ) ) ) )).
fof(l4_jordan1a,axiom,( k3_nat_d(1,2) = k5_numbers )).
fof(l4_jordan1c,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,k3_xcmplx_0(2,k7_xcmplx_0(A,4))) ) ) )).
fof(l4_jordan1d,axiom,( k3_nat_d(2,2) = 1 )).
fof(l4_jordan21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_xboole_0(A,D) & r1_xboole_0(B,D) & r1_xboole_0(C,D) ) => r1_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) ) )).
fof(l4_jordan5b,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,1) ) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(1,A)) & r1_xxreal_0(k6_xcmplx_0(1,A),1) ) ) ) )).
fof(l4_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(k3_lattice3(A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k3_lattice3(A))) => r3_orders_2(k3_lattice3(A),C,B) ) ) ) )).
fof(l4_lattice8,axiom,( v1_abian(2) )).
fof(l4_lattices,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g3_lattices(k1_zfmisc_1(k1_xboole_0),A,B))) => C = D ) ) ) ) )).
fof(l4_lexbfs,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(C,A),1),k2_xcmplx_0(k6_xcmplx_0(C,B),1)) ) ) ) ) )).
fof(l4_limfunc2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( r1_tarski(k2_relset_1(k1_numbers,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)),D)) => ( r1_tarski(k2_relset_1(k1_numbers,A),k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & r1_tarski(k2_relset_1(k1_numbers,A),D) & k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C)) & r1_tarski(k2_relset_1(k1_numbers,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),D)) & r1_tarski(k2_relset_1(k1_numbers,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),D)) ) ) ) ) ) ) )).
fof(l4_limfunc3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( r1_tarski(k10_xtuple_0(A),k6_subset_1(k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)),D)) => ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(A),k9_xtuple_0(B)) & r1_tarski(k10_xtuple_0(A),k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(A),k6_subset_1(k9_xtuple_0(B),D)) & r1_tarski(k10_xtuple_0(A),k6_subset_1(k9_xtuple_0(C),D)) ) ) ) ) ) )).
fof(l4_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_tarski(C,k9_xtuple_0(D)) ) ) ) ) )).
fof(l4_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => ( r1_xxreal_0(C,k5_numbers) | k2_power(k3_xcmplx_0(A,B),C) = k3_xcmplx_0(k2_power(A,C),k2_power(B,C)) ) ) ) ) ) )).
fof(l4_lpspace2,axiom,( v1_xreal_0(1) )).
fof(l4_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( C != k4_struct_0(B) & k1_laplace(B,k4_group_1(B),C,A) = k4_struct_0(B) ) ) ) ) )).
fof(l4_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( r2_tarski(D,A) => k1_funct_1(k1_mboolean(A,k3_pboole(A,B,C)),D) = k1_zfmisc_1(k3_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))) ) ) ) )).
fof(l4_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ( r1_tarski(A,B) => r1_tarski(k4_member_1(A),k4_member_1(B)) ) ) ) )).
fof(l4_metric_1,axiom,( ! [A] : ( m1_subset_1(A,1) => ! [B] : ( m1_subset_1(B,1) => ( k1_binop_1(k9_funct_5,A,B) = k5_numbers <=> A = B ) ) ) )).
fof(l4_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_metric_2(A,B,B) ) ) )).
fof(l4_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_mod_4(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_mod_4(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_mod_4(A))) => ( k1_algstr_0(k2_mod_4(A),k1_algstr_0(k2_mod_4(A),B,C),D) = k1_algstr_0(k2_mod_4(A),B,k1_algstr_0(k2_mod_4(A),C,D)) & k1_algstr_0(k2_mod_4(A),B,k4_struct_0(k2_mod_4(A))) = B ) ) ) ) ) )).
fof(l4_modelc_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k1_int_1(A),k1_int_1(B)) ) ) ) )).
fof(l4_normsp_1,axiom,( k1_funct_1(c2__normsp_1,k4_struct_0(o_0_5_normsp_1)) = k5_numbers )).
fof(l4_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v3_metric_1(u1_metric_1(g1_metric_1(u1_struct_0(A),k1_normsp_2(A))),u1_struct_0(g1_metric_1(u1_struct_0(A),k1_normsp_2(A)))) ) )).
fof(l4_numbers,axiom,( r1_tarski(k2_arytm_2,k1_numbers) )).
fof(l4_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( r1_xxreal_0(A,k3_finseq_1(C)) => ( A = k5_numbers | k7_partfun1(u1_struct_0(B),k8_finseq_1(u1_struct_0(B),C,D),A) = k7_partfun1(u1_struct_0(B),C,A) ) ) ) ) ) ) )).
fof(l4_orders_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ r2_tarski(k1_xboole_0,A) => ! [B] : ( m2_orders_1(B,A,k6_partfun1(A)) => ! [C] : ( r2_tarski(C,A) => r2_tarski(k1_funct_1(B,C),C) ) ) ) ) )).
fof(l4_ortsp_1,axiom,( ! [A] : ( m1_subset_1(A,c1__ortsp_1) => ! [B] : ( m1_subset_1(B,c1__ortsp_1) => k4_binop_1(c1__ortsp_1,c3__ortsp_1,A,B) = c2__ortsp_1 ) ) )).
fof(l4_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( k5_algstr_0(A,k8_group_1(A,B,F),k8_group_1(A,E,C)) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,B,D),k8_group_1(A,G,C)) = k4_struct_0(A) ) => ( B = k4_struct_0(A) | k5_algstr_0(A,k8_group_1(A,E,D),k8_group_1(A,G,F)) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(l4_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ( ( k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)),k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E))),k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)),k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)))) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E))),k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)))) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E))),k8_group_1(A,k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)))) = k4_struct_0(A) ) <=> ~ ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( k8_group_1(A,F,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C))) = k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)) & k8_group_1(A,F,k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C))) = k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)) & k8_group_1(A,F,k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C))) = k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E)) ) ) & ~ ( k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)) = k4_struct_0(A) & k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)) = k4_struct_0(A) & k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(l4_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( A != k5_numbers => k1_nat_1(k7_nat_d(A,1),1) = k7_nat_d(k1_nat_1(A,1),1) ) ) )).
fof(l4_pnproc_1,axiom,( ! [A] : ! [B] : ( r2_tarski(B,A) => k1_funct_1(k1_pnproc_1(A),B) = k5_numbers ) )).
fof(l4_polyeq_2,axiom,( 3 = k2_xcmplx_0(k3_xcmplx_0(2,1),1) )).
fof(l4_polynom5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ~ r1_xxreal_0(B,k3_xcmplx_0(C,A)) ) ) => r1_xxreal_0(B,k5_numbers) ) ) ) )).
fof(l4_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ~ r1_pre_poly(A,B,C) <=> r2_pre_poly(A,C,B) ) ) ) ) )).
fof(l4_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),C) = C ) ) ) )).
fof(l4_pralg_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_tarski(B,k4_card_3(A)) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(l4_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ( C = k24_qc_lang1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & C = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,B) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k3_qc_lang1(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( E = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k23_qc_lang1(A,k17_qc_lang1(A,E)) ) & ( ( v3_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k18_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = F ) & ( ( v4_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k19_qc_lang1(A,E)) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k20_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k4_subset_1(k3_qc_lang1(A),F,G) ) & ( ( v5_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k22_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k7_subset_1(k3_qc_lang1(A),F,k1_tarski(k21_qc_lang1(A,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(l4_quatern2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l4_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => r1_xxreal_0(2,k1_radix_1(A)) ) ) )).
fof(l4_radix_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k4_radix_1(C,A,C,k10_radix_1(A,C,k4_nat_d(B,k1_newton(k1_radix_1(A),C)))) = k4_radix_1(C,A,C,k10_radix_1(A,C,B)) ) ) ) ) )).
fof(l4_rat_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( B = A => k2_arytm_1(c1__rat_1,B) = k4_xcmplx_0(A) ) ) ) )).
fof(l4_real_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_real_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_real_lat)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_real_lat)) => k1_lattices(k3_real_lat,A,k1_lattices(k3_real_lat,B,C)) = k1_lattices(k3_real_lat,k1_lattices(k3_real_lat,A,B),C) ) ) ) )).
fof(l4_realset2,axiom,( r2_tarski(k5_numbers,2) )).
fof(l4_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => v1_finset_1(k1_funct_1(B,C)) ) ) ) ) )).
fof(l4_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ ( ~ r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(A),B) ) & ~ ( ~ r1_xxreal_0(1,B) & r1_xxreal_0(B,k5_numbers) ) & ~ r2_tarski(B,k4_finseq_1(A)) ) ) ) )).
fof(l4_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_rlvect_3(A,B) = k1_rlvect_3(A,k7_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k4_struct_0(A)))) ) ) )).
fof(l4_rlvect_3,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l4_rlvect_5,axiom,( ! [A] : ! [B] : ( r2_tarski(B,A) => k2_xboole_0(k6_subset_1(A,k1_tarski(B)),k1_tarski(B)) = A ) )).
fof(l4_roughs_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v3_orders_2(A) & v7_struct_0(A) ) => v1_orders_3(A) ) ) )).
fof(l4_rsspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(A,B)),k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,A),A),k3_xcmplx_0(k3_xcmplx_0(2,B),B))) ) ) & ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k3_xcmplx_0(A,A),k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k6_xcmplx_0(A,B)),k6_xcmplx_0(A,B)),k3_xcmplx_0(k3_xcmplx_0(2,B),B))) ) ) )).
fof(l4_rsspace3,axiom,( ~ v2_struct_0(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v13_algstr_0(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v2_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v3_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v4_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v5_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v6_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v7_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & v8_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) & l1_rlvect_1(g1_rlvect_1(k1_rsspace3,k7_rsspace(k4_rsspace,k1_rsspace3),k5_rsspace(k4_rsspace,k1_rsspace3),k6_rsspace(k4_rsspace,k1_rsspace3))) )).
fof(l4_rsspace4,axiom,( m1_rlsub_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4)),k4_rsspace) )).
fof(l4_scm_comp,axiom,( k7_dtconstr(k1_scm_comp) = k2_zfmisc_1(1,5) )).
fof(l4_scmfsa6c,axiom,( v1_scmfsa6b(k11_compos_1(k1_scmfsa_2,k2_compos_1(k1_scmfsa_2))) )).
fof(l4_scmfsa_i,axiom,( r1_tarski(k2_scmfsa_i,k3_zfmisc_1(k4_ordinal1,k13_finseq_1(k4_ordinal1),k10_xtuple_0(k2_scmfsa_i))) )).
fof(l4_scmfsa_x,axiom,( k1_funct_1(k4_compos_1(k1_scmfsa_2),k5_numbers) = k2_compos_1(k1_scmfsa_2) )).
fof(l4_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => k9_xtuple_0(k3_relat_1(k3_ami_2,k1_scmring1(A))) = k1_ami_2 ) )).
fof(l4_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C))) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C))) ) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,C)) ) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,C)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) ) )).
fof(l4_series_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( 4 = k11_newton(2,2) & k1_newton(k2_xcmplx_0(A,B),2) = k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,2),k3_xcmplx_0(k3_xcmplx_0(2,A),B)),k1_newton(B,2)) ) ) ) )).
fof(l4_series_3,axiom,( k11_newton(3,3) = 27 )).
fof(l4_series_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k3_xcmplx_0(k6_xcmplx_0(A,B),k2_xcmplx_0(A,B)) = k6_xcmplx_0(k1_newton(A,2),k1_newton(B,2)) ) ) )).
fof(l4_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( v1_xreal_0(C) => k2_power(k7_xcmplx_0(A,B),k4_xcmplx_0(C)) = k2_power(k7_xcmplx_0(B,A),C) ) ) ) )).
fof(l4_sin_cos9,axiom,( r2_fdiff_1(k27_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos)) )).
fof(l4_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ~ ( ~ v1_xboole_0(k6_subset_1(C,D)) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ~ m1_eqrel_1(E,k6_subset_1(C,D)) ) ) ) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_eqrel_1(E,k6_subset_1(C,D)) ) ) ) ) ) )).
fof(l4_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => m1_subset_1(a_4_1_srings_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ) ) )).
fof(l4_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)))) & ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers))) & ? [D] : ( m1_subset_1(D,k1_tarski(k5_numbers)) & ? [E] : ( m1_subset_1(E,k1_tarski(k5_numbers)) & C = k1_domain_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers),D,E) & E = c2__symsp_1 ) ) ) ) ) ) )).
fof(l4_tdgroup,axiom,( v12_vectsp_1(k1_vectsp_1) )).
fof(l4_topalg_2,axiom,( u1_struct_0(k2_borsuk_1(k15_euclid(1),k5_topmetr)) = k2_zfmisc_1(u1_struct_0(k15_euclid(1)),u1_struct_0(k5_topmetr)) )).
fof(l4_topalg_5,axiom,( r2_tarski(k5_numbers,k6_domain_1(k4_ordinal1,k5_numbers)) )).
fof(l4_topgen_6,axiom,( ! [A] : ( m1_pre_topc(A,k3_topmetr) => v1_metrizts(A) ) )).
fof(l4_topmetr2,axiom,( v1_xreal_0(2) )).
fof(l4_topreal2,axiom,( k17_euclid(k19_euclid(k5_numbers,k5_numbers)) = k5_numbers )).
fof(l4_toprealb,axiom,( u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1)) = k1_rcomp_1(k4_xcmplx_0(1),1) )).
fof(l4_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_aff_1(A,B,C,D) & B != C & B != D & C != D & ~ r1_aff_1(A,B,C,E) & r2_analoaf(A,E,F,B,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_aff_1(A,E,F,G) & E != G & F != G ) ) ) ) ) ) ) ) ) )).
fof(l4_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ~ ( r2_tarski(B,k10_xtuple_0(A)) & ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(k3_finseq_1(A),C) & B = k1_funct_1(A,k1_nat_1(C,1)) ) ) ) ) )).
fof(l4_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => k1_funct_1(k2_facirc_1,k10_finseq_1(A,B)) = k8_margrel1(k9_margrel1(k8_margrel1(A),k8_margrel1(B))) ) ) )).
fof(l4_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_rlvect_1(A,B,C) = D => B = k5_algstr_0(A,D,C) ) ) ) ) ) )).
fof(l4_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_waybel11(k5_waybel_0(A,B),A) ) ) )).
fof(l4_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,k1_yellow_1(k7_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) => ( C = k3_tarski(B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) => ( r2_lattice3(k1_yellow_1(k7_waybel_0(A)),B,D) => r3_orders_2(k1_yellow_1(k7_waybel_0(A)),C,D) ) ) ) ) ) ) )).
fof(l4_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( ( v3_lattice3(A) & v3_lattice3(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v17_waybel_0(C,A,B) => ( v5_orders_3(k1_waybel34(A,B,C),B,A) & v5_waybel_1(k1_waybel34(A,B,C),A,B) & v18_waybel_0(k1_waybel34(A,B,C),B,A) ) ) ) ) ) ) )).
fof(l4_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r3_orders_2(A,B,k1_yellow_0(A,C)) & ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & v12_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_orders_2(A,B,k1_yellow_0(A,D)) => r1_tarski(C,D) ) ) ) ) ) ) )).
fof(l4_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(C,A,B) => v5_orders_3(C,A,B) ) ) ) ) )).
fof(l4_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => ( v6_relat_2(A) <=> ! [B] : ! [C] : ~ ( r2_hidden(B,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) & B != C & ~ r2_hidden(k4_tarski(B,C),A) & ~ r2_hidden(k4_tarski(C,B),A) ) ) ) )).
fof(l4_wsierp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) => r1_xxreal_0(B,k2_xcmplx_0(A,B)) ) & ( r1_xxreal_0(B,k2_xcmplx_0(A,B)) => r1_xxreal_0(k5_numbers,A) ) & ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k2_xcmplx_0(A,B),B) ) & ~ ( ~ r1_xxreal_0(k2_xcmplx_0(A,B),B) & r1_xxreal_0(A,k5_numbers) ) & ( r1_xxreal_0(k5_numbers,A) => r1_xxreal_0(k6_xcmplx_0(B,A),B) ) & ( r1_xxreal_0(k6_xcmplx_0(B,A),B) => r1_xxreal_0(k5_numbers,A) ) & ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(B,k6_xcmplx_0(B,A)) ) & ~ ( ~ r1_xxreal_0(B,k6_xcmplx_0(B,A)) & r1_xxreal_0(A,k5_numbers) ) ) ) ) )).
fof(l4_xcmplx_0,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l4_xreal_0,axiom,( r2_tarski(k1_xboole_0,k1_tarski(k1_xboole_0)) )).
fof(l4_xreal_1,axiom,( r2_tarski(k1_xboole_0,k1_tarski(k1_xboole_0)) )).
fof(l4_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( k2_tarski(A,B) = k2_tarski(C,D) & A != C & A != D ) )).
fof(l4_zf_fund1,axiom,( k1_relset_1(k4_ordinal1,k2_zf_fund1) = k4_ordinal1 & k2_relset_1(k1_zf_lang,k2_zf_fund1) = k1_zf_lang & v2_funct_1(k2_zf_fund1) & v2_funct_1(k2_funct_1(k2_zf_fund1)) & k9_xtuple_0(k2_funct_1(k2_zf_fund1)) = k1_zf_lang & k10_xtuple_0(k2_funct_1(k2_zf_fund1)) = k4_ordinal1 )).
fof(l4_zf_fund2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ~ ( r2_tarski(B,k3_card_3(A)) & ! [C] : ~ ( r2_tarski(C,k9_xtuple_0(A)) & r2_tarski(B,k1_funct_1(A,C)) ) ) ) )).
fof(l50_anproj_2,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ? [B] : ( m1_subset_1(B,A) & ? [C] : ( m1_subset_1(C,A) & ? [D] : ( m1_subset_1(D,A) & A = k8_domain_1(A,B,C,D) & B != C & B != D & C != D ) ) ) ) )).
fof(l50_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(1,A) => r1_xxreal_0(k1_square_1(A),k3_xcmplx_0(2,k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),A),1))) ) ) )).
fof(l50_borsuk_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_connsp_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)))))) ) => ! [C] : ! [D] : ~ ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & r2_tarski(D,k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(k1_funct_1(B,D),k1_funct_1(B,C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)))) => ~ ( r1_xboole_0(E,F) & E != k1_struct_0(k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)) & F != k1_struct_0(k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)) & v3_pre_topc(E,k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)) & v3_pre_topc(F,k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)) & k2_struct_0(k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)) = k4_subset_1(u1_struct_0(k7_waybel18(A,k1_pre_topc(k3_topmetr,k5_toprealb(c15__borsuk_7)),B)),E,F) ) ) ) ) ) ) )).
fof(l50_card_1,axiom,( ! [A] : ~ ( v1_finset_1(A) & ! [B] : ( v7_ordinal1(B) => ~ r2_wellord2(A,B) ) ) )).
fof(l50_card_3,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( r2_hidden(A,k1_relat_1(B)) & ! [C] : ( ~ r2_hidden(k4_tarski(A,C),B) & ~ r2_hidden(k4_tarski(C,A),B) ) ) ) )).
fof(l50_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(C,k2_normsp_0(A,B)) ) ) => B = k4_struct_0(A) ) ) ) )).
fof(l50_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(A,B) = k2_xcmplx_0(k5_real_1(k3_complex1(A),k3_complex1(B)),k3_xcmplx_0(k5_real_1(k4_complex1(A),k4_complex1(B)),k7_complex1)) ) ) )).
fof(l50_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(A))) => ( ( r2_tarski(k13_cqc_lang(A,B,C),k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A,B,D),k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A,B,C),a_2_0_cqc_the1(A,E)) ) => ( r2_tarski(C,k24_qc_lang1(A,B)) | r2_tarski(k13_cqc_lang(A,B,D),a_2_0_cqc_the1(A,E)) ) ) ) ) ) ) ) )).
fof(l50_descip_1,axiom,( ! [A] : ( m2_finseq_2(A,k5_margrel1,k4_finseq_2(64,k5_margrel1)) => k24_descip_1(k26_descip_1(A)) = A ) )).
fof(l50_diff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),A),1),B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,B),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(D,A),1),B)),k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),1),B),k1_funct_1(D,k2_xcmplx_0(B,A)))) ) ) ) ) )).
fof(l50_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_ens_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_ens_1(A))) => ~ ( k2_cat_1(k11_ens_1(A),B,C) != k1_xboole_0 & k1_funct_2(k13_ens_1(A,B),k13_ens_1(A,C)) = k1_xboole_0 ) ) ) ) )).
fof(l50_fib_num4,axiom,( ~ r1_xxreal_0(k1_pepin(2),k1_square_1(k6_xcmplx_0(1,k3_square_1(5)))) )).
fof(l50_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k2_xcmplx_0(B,A))),k2_finseq_1(B)),k14_finseq_1(k2_finseq_1(B))) ) ) )).
fof(l50_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k8_fomodel3(A,B,C,k5_numbers) = k3_fomodel2(k1_tarski(k1_xboole_0)) ) ) ) )).
fof(l50_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),k36_gfacirc1(k24_gfacirc1(A,B,C),E,D)) = k2_binarith(k2_binarith(k2_binarith(k2_binarith(G,k8_margrel1(H)),I),k8_margrel1(J)),K) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l50_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( r1_analmetr(A,D,E) => ( k2_geomtrap(A,D,E,k3_rlvect_1(A,B,C)) = k2_xcmplx_0(k2_geomtrap(A,D,E,B),k2_geomtrap(A,D,E,C)) & k3_geomtrap(A,D,E,k3_rlvect_1(A,B,C)) = k2_xcmplx_0(k3_geomtrap(A,D,E,B),k3_geomtrap(A,D,E,C)) & k2_geomtrap(A,D,E,k5_algstr_0(A,B,C)) = k6_xcmplx_0(k2_geomtrap(A,D,E,B),k2_geomtrap(A,D,E,C)) & k3_geomtrap(A,D,E,k5_algstr_0(A,B,C)) = k6_xcmplx_0(k3_geomtrap(A,D,E,B),k3_geomtrap(A,D,E,C)) & k2_geomtrap(A,D,E,k1_rlvect_1(A,B,F)) = k3_xcmplx_0(F,k2_geomtrap(A,D,E,B)) & k3_geomtrap(A,D,E,k1_rlvect_1(A,B,F)) = k3_xcmplx_0(F,k3_geomtrap(A,D,E,B)) ) ) ) ) ) ) ) ) )).
fof(l50_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k4_glib_001(A,B) = k3_glib_001(A,C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k3_finseq_1(C),D) => ( k1_funct_1(k7_glib_001(A,B,C),k1_nat_1(k3_finseq_1(B),D)) = k1_funct_1(C,k1_nat_1(D,1)) & r2_tarski(k1_nat_1(k3_finseq_1(B),D),k1_relset_1(k4_ordinal1,k7_glib_001(A,B,C))) ) ) ) ) ) ) ) )).
fof(l50_gr_cy_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_group_2(B,k1_uniroots(A)) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,D) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( E = G & F = k5_group_1(B,G,C) ) => k2_polynom4(A,D,E) = k5_algstr_0(A,F,k5_struct_0(A)) ) ) ) ) ) ) ) ) ) ) )).
fof(l50_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ( r1_int_1(A,B) => k5_int_1(B,A) = k5_numbers ) & ( k5_int_1(B,A) = k5_numbers => ( A = k5_numbers | r1_int_1(A,B) ) ) ) ) ) )).
fof(l50_integra8,axiom,( k9_xtuple_0(k3_sin_cos2) = k1_numbers )).
fof(l50_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) & k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k17_euclid(A)),k4_xcmplx_0(k17_euclid(B))) ) ) ) )).
fof(l50_jgraph_4,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = k3_pcomps_1(k14_euclid(2)) )).
fof(l50_jordan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_borsuk_2(H,A,B,C) => ! [I] : ( m1_borsuk_2(I,A,C,D) => ! [J] : ( m1_borsuk_2(J,A,D,E) => ! [K] : ( m1_borsuk_2(K,A,E,F) => ! [L] : ( m1_borsuk_2(L,A,F,G) => ( ( r1_borsuk_6(A,B,C) & r1_borsuk_6(A,C,D) & r1_borsuk_6(A,D,E) & r1_borsuk_6(A,E,F) & r1_borsuk_6(A,F,G) ) => k2_relset_1(u1_struct_0(A),k1_borsuk_2(A,B,F,G,k1_borsuk_2(A,B,E,F,k1_borsuk_2(A,B,D,E,k1_borsuk_2(A,B,C,D,H,I),J),K),L)) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),H),k2_relset_1(u1_struct_0(A),I)),k2_relset_1(u1_struct_0(A),J)),k2_relset_1(u1_struct_0(A),K)),k2_relset_1(u1_struct_0(A),L)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l50_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k2_xcmplx_0(D,k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(C,D),k1_newton(2,B)),k6_xcmplx_0(k3_finseq_1(k1_jordan8(A,B)),2))) = k2_xcmplx_0(C,k7_xcmplx_0(k6_xcmplx_0(C,D),k1_newton(2,B))) ) ) ) ) )).
fof(l50_jordan3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => k17_finseq_1(B,A,k6_finseq_1(B)) = k6_finseq_1(B) ) ) )).
fof(l50_jordan5d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & ~ v3_funct_1(D) & v1_finseq_6(D,u1_struct_0(k15_euclid(2))) & v1_topreal1(D) & v2_topreal1(D) & v1_goboard5(D) & v2_goboard5(D) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( k18_euclid(B) = k7_pscomp_1(k3_topreal1(2,D)) & r2_tarski(B,k3_topreal1(2,D)) & C = a_1_11_jordan5d(D) & A = k4_seq_4(C) ) => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(D),A,k1_matrix_0(k2_goboard2(D)))),k17_euclid(B)) ) ) ) ) ) )).
fof(l50_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,B,C) = k1_lattices(A,C,B) => k2_lattices(A,B,C) = k2_lattices(A,C,B) ) ) ) ) )).
fof(l50_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => a_5_4_lfuzzy_1(A,B,C,D,E) = a_5_6_lfuzzy_1(A,B,C,D,E) ) ) ) ) ) )).
fof(l50_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,k6_cqc_lang(A,k5_cqc_lang(A))),k6_cqc_lang(A,B)),k4_cqc_the1(A)) ) ) )).
fof(l50_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(B,k4_ordinal1)) => ( r2_tarski(A,k2_finseq_1(B)) => k7_matrix_0(u1_struct_0(C),k1_matrix13(u1_struct_0(C),D,B,k4_card_1(k2_finseq_1(k1_matrix_0(D))),E,k5_matrix13(k2_finseq_1(k1_matrix_0(D)))),A) = k7_matrix_0(u1_struct_0(C),D,k1_funct_1(E,A)) ) ) ) ) ) ) )).
fof(l50_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v3_xxreal_2(A) => v4_xxreal_2(k3_measure6(A)) ) ) )).
fof(l50_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r2_mesfun6c(A,B,C,D) => ( ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ~ ( E = k1_relset_1(A,D) & r1_mesfun6c(A,B,D,E) ) ) | k1_mesfun6c(A,B,C,D) = k5_numbers | r1_xxreal_0(k9_complex1(k1_mesfun6c(A,B,C,D)),k1_mesfunc6(A,B,C,k55_valued_1(A,k2_numbers,D))) ) ) ) ) ) ) )).
fof(l50_nat_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k10_xtuple_0(k6_nat_1(A,B)),k10_xtuple_0(A)) ) ) )).
fof(l50_ncfcont2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) => B = C ) ) ) ) )).
fof(l50_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v1_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l50_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r8_relat_2(A,B) => v8_relat_2(k2_wellord1(A,B)) ) ) )).
fof(l50_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_int_1(A,1,B) => ( r1_xxreal_0(B,1) | r1_xxreal_0(A,1) | k4_nat_d(A,B) = 1 ) ) ) ) )).
fof(l50_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( k3_termord(A,B,C,D) = k3_termord(A,B,C,E) & r1_polyred(A,B,C,k6_termord(A,B,C,D),k6_termord(A,B,C,E)) ) => ( E = k8_polynom1(A,C) | r1_polyred(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(l50_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_poset_1(A,A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_poset_1(A,A))) => ( r3_orders_2(k6_poset_1(A,A),B,C) => ( r2_tarski(B,k4_poset_1(A,A)) & r2_tarski(C,k4_poset_1(A,A)) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(E,A,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & B = D & C = E & r1_yellow_2(u1_struct_0(A),A,D,E) ) ) ) ) ) ) ) )).
fof(l50_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) => ( ( r2_tarski(k1_rcomp_1(A,B),C) & r1_xxreal_0(A,B) ) => ( r1_tarski(k2_relset_1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B))),C) & k5_setfam_1(k1_numbers,k2_relset_1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)))) = k1_rcomp_1(A,B) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( ~ ( r1_xxreal_0(D,k3_finseq_1(k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)))) & v1_xboole_0(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),D)) ) & ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)))) => ( r1_xxreal_0(k3_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),D)),k3_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),k1_nat_1(D,1)))) & r1_xxreal_0(k2_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),D)),k2_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),k1_nat_1(D,1)))) & ~ r1_xxreal_0(k2_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),D)),k3_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),k1_nat_1(D,1)))) ) ) & ( r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)))) => r1_xxreal_0(k2_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),D)),k3_seq_4(k7_partfun1(k1_zfmisc_1(k1_numbers),k12_finseq_1(k1_zfmisc_1(k1_numbers),k1_rcomp_1(A,B)),k1_nat_1(D,2)))) ) ) ) ) ) ) ) ) ) )).
fof(l50_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m2_rlvect_2(C,A,B) => ( ( k6_rlvect_2(A,C) = k4_struct_0(A) & k3_rlaffin1(A,C) = k5_numbers ) => k3_rlvect_2(A,C) = k1_xboole_0 ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => v1_rlvect_3(k7_subset_1(u1_struct_0(A),k5_rusub_4(A,B,k4_algstr_0(A,C)),k6_domain_1(u1_struct_0(A),k4_struct_0(A))),A) ) ) ) ) ) )).
fof(l50_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ( k1_rlsub_2(A,B,C) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,E) & r1_struct_0(C,F) & D = k3_rlvect_1(A,E,F) ) ) ) ) ) ) ) )).
fof(l50_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( k1_rusub_2(A,B,C) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,E) & r1_struct_0(C,F) & D = k3_rlvect_1(A,E,F) ) ) ) ) ) ) ) )).
fof(l50_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v1_finseq_1(A) ) => k19_rvsum_1(A) = 1 ) )).
fof(l50_scmbsort,axiom,( k4_scmfsa_2(4) != k4_scmfsa_2(5) )).
fof(l50_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( r1_xxreal_0(1,k1_funct_1(A,k4_scmfsa_2(k1_nat_1(1,1)))) & r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(1,1))),k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) ) => ( k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(2,1))) = k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))) & k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(5,1))) = k1_funct_1(A,k4_scmfsa_2(k1_nat_1(5,1))) & k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & ? [C] : ( v1_int_1(C) & C = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(1,1)))) & ( ~ r1_xxreal_0(k6_xcmplx_0(C,k1_funct_1(A,k4_scmfsa_2(k1_nat_1(5,1)))),k5_numbers) => ( k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(1,1))) = k5_numbers & k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(3,1))) = k1_funct_1(A,k4_scmfsa_2(k1_nat_1(3,1))) ) ) & ( r1_xxreal_0(k6_xcmplx_0(C,k1_funct_1(A,k4_scmfsa_2(k1_nat_1(5,1)))),k5_numbers) => ( k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(1,1))) = k6_xcmplx_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(1,1))),1) & k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))),A,B),k4_scmfsa_2(k1_nat_1(3,1))) = k2_xcmplx_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(3,1))),1) ) ) ) ) ) ) ) )).
fof(l50_scmpds_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k4_card_1(k1_scmpds_4(k1_scmpds_4(k2_scmpds_4(B,C),k1_scmpds_6(A)),D)) = k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),2) ) ) ) ) )).
fof(l50_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => k8_complex1(k11_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))) = k11_comseq_3(k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1)))) ) )).
fof(l50_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,B,k7_binop_2) => k1_funct_1(k22_sin_cos,k3_xcmplx_0(k4_xcmplx_0(1),A)) = k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),A) ) ) ) )).
fof(l50_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,1) & r1_xxreal_0(k2_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(A)))),k5_numbers) ) ) )).
fof(l50_srings_2,axiom,( k7_enumset1(k2_enumset1(1,2,3,4),k1_enumset1(1,2,3),k1_enumset1(2,3,4),k1_tarski(1),k1_tarski(2),k1_tarski(3),k1_tarski(4),k1_xboole_0,k2_tarski(2,3)) = k2_xboole_0(k6_enumset1(k2_enumset1(1,2,3,4),k1_enumset1(1,2,3),k1_enumset1(2,3,4),k1_tarski(1),k1_tarski(2),k1_tarski(3),k1_tarski(4),k1_xboole_0),k1_tarski(k2_tarski(2,3))) )).
fof(l50_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_algstr_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(D,A,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k4_polynom1(A,C,k10_polynom1(A,C,D,E),k11_pre_poly(A,k3_termord(A,B,C,D),k3_termord(A,B,C,E))) = k6_algstr_0(C,k4_polynom1(A,C,D,k3_termord(A,B,C,D)),k4_polynom1(A,C,E,k3_termord(A,B,C,E))) ) ) ) ) ) )).
fof(l50_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_borsuk_6(A,B,C) => ( ~ v1_xboole_0(k3_topalg_1(A,B,C)) & v1_partfun1(k3_topalg_1(A,B,C),k1_topalg_1(A,B,C)) & v3_relat_2(k3_topalg_1(A,B,C)) & v8_relat_2(k3_topalg_1(A,B,C)) ) ) ) ) ) )).
fof(l50_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k3_matrlin(A,B,B,k3_matrlin(A,B,B,C,D),E),k3_matrlin(A,B,B,C,k3_matrlin(A,B,B,D,E))) ) ) ) ) ) )).
fof(l50_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k4_algstr_0(A,k5_struct_0(A)) != k4_struct_0(A) ) )).
fof(l50_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => v5_orders_3(k9_waybel_4(A),k1_yellow_1(k3_waybel_4(A)),k8_waybel_4(A)) ) )).
fof(l50_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k1_xxreal_3(A,C),k1_xxreal_3(B,C)) ) ) ) ) )).
fof(l51_arytm_2,axiom,( k12_arytm_3 = 1 )).
fof(l51_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k4_ordinal1) & r1_xxreal_0(B,C) & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(C,k3_power(2,k2_xcmplx_0(1,A))),k3_xcmplx_0(8,k3_power(2,C))),k3_xcmplx_0(8,k3_power(2,C))) ) ) ) ) )).
fof(l51_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) => B = C ) ) ) ) )).
fof(l51_descip_1,axiom,( r2_relset_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k1_partfun1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k25_descip_1,k27_descip_1),k6_partfun1(k4_finseq_2(64,k5_margrel1))) )).
fof(l51_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_eqrel_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) => ! [D] : ~ ( r2_tarski(D,a_3_1_eqrel_1(A,B,C)) & ! [E] : ( m1_eqrel_1(E,A) => ~ ( r2_tarski(E,C) & D = k11_eqrel_1(A,B,E) ) ) ) ) ) ) )).
fof(l51_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) & ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & B = D & C = E & k2_euclid_4(A,D,E) = k5_rltopsp1(k15_euclid(A),B,C) ) ) ) ) ) )).
fof(l51_fib_num4,axiom,( ~ r1_xxreal_0(k2_power(2,2),k1_square_1(k6_xcmplx_0(1,k3_square_1(5)))) )).
fof(l51_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_fintopo6(k12_finseq_1(u1_struct_0(A),B),A) ) ) )).
fof(l51_funct_9,axiom,( v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k28_sin_cos) )).
fof(l51_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => ( k3_xcmplx_0(2,k2_geomtrap(A,D,E,k1_geomtrap(A,B,C))) = k2_xcmplx_0(k2_geomtrap(A,D,E,B),k2_geomtrap(A,D,E,C)) & k3_xcmplx_0(2,k3_geomtrap(A,D,E,k1_geomtrap(A,B,C))) = k2_xcmplx_0(k3_geomtrap(A,D,E,B),k3_geomtrap(A,D,E,C)) ) ) ) ) ) ) ) )).
fof(l51_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k1_relset_1(k4_ordinal1,k7_glib_001(A,B,C))) & ~ r2_tarski(D,k1_relset_1(k4_ordinal1,B)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),E) & D = k1_nat_1(k3_finseq_1(B),E) ) ) ) ) ) ) ) )).
fof(l51_gr_cy_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_group_2(B,k1_uniroots(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( v7_ordinal1(E) => ( ( v8_struct_0(B) & k6_group_1(B,C) = E & k5_group_1(B,D,E) = k1_group_1(B) ) => ( r1_xxreal_0(E,k5_numbers) | m1_subset_1(D,u1_struct_0(k5_group_4(B,k6_domain_1(u1_struct_0(B),C)))) ) ) ) ) ) ) ) )).
fof(l51_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,A) => r1_xxreal_0(B,k3_xcmplx_0(A,B)) ) ) ) )).
fof(l51_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) => B = k3_xcmplx_0(k4_int_1(B,A),A) ) ) ) )).
fof(l51_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k18_sin_cos) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A)) ) ) )).
fof(l51_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))))) ) ) )).
fof(l51_jordan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_borsuk_2(H,A,B,C) => ! [I] : ( m1_borsuk_2(I,A,C,D) => ! [J] : ( m1_borsuk_2(J,A,D,E) => ! [K] : ( m1_borsuk_2(K,A,E,F) => ! [L] : ( m1_borsuk_2(L,A,F,G) => k2_relset_1(u1_struct_0(A),k1_borsuk_2(A,B,F,G,k1_borsuk_2(A,B,E,F,k1_borsuk_2(A,B,D,E,k1_borsuk_2(A,B,C,D,H,I),J),K),L)) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),H),k2_relset_1(u1_struct_0(A),I)),k2_relset_1(u1_struct_0(A),J)),k2_relset_1(u1_struct_0(A),K)),k2_relset_1(u1_struct_0(A),L)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l51_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(C,1),k2_matrix_0(k1_jordan8(A,B))) => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),C,1)) = k6_xcmplx_0(k9_pscomp_1(A),k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A)),k1_newton(2,B))) ) ) ) ) )).
fof(l51_jordan3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( k3_finseq_6(A,B,C,C) = k12_finseq_1(A,k7_partfun1(A,B,C)) & k3_finseq_1(k3_finseq_6(A,B,C,C)) = 1 ) ) ) ) ) )).
fof(l51_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( ( k18_euclid(C) = k9_pscomp_1(k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & D = a_1_10_jordan5d(A) & B = k1_xxreal_2(D) ) => r1_xxreal_0(k17_euclid(C),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,1))) ) ) ) ) ) )).
fof(l51_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => a_5_6_lfuzzy_1(A,B,C,D,E) = a_5_8_lfuzzy_1(A,B,C,D,E) ) ) ) ) ) )).
fof(l51_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_ideal_1(k11_lpspace1(A,B,C),k10_lpspace1(A,B,C)) & v1_lpspace1(k11_lpspace1(A,B,C),k10_lpspace1(A,B,C)) ) ) ) ) )).
fof(l51_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => r1_ordinal1(k1_card_1(k5_moebius2(A)),k1_newton(2,A)) ) )).
fof(l51_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ( ( v2_o_ring_1(C,B) & r1_xxreal_0(A,k3_finseq_1(C)) ) => ( k5_numbers = A | v13_o_ring_1(k7_partfun1(u1_struct_0(B),C,A),B) ) ) ) ) ) )).
fof(l51_ordeq_01,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k1_pdiff_1(B,A),k4_struct_0(k4_real_ns1(A))) = k5_numbers ) ) )).
fof(l51_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r4_relat_2(A,B) => v4_relat_2(k2_wellord1(A,B)) ) ) )).
fof(l51_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ( v1_funct_1(k10_poset_1(A)) & v1_funct_2(k10_poset_1(A),u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)) & v5_orders_3(k10_poset_1(A),k6_poset_1(A,A),A) & m1_subset_1(k10_poset_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)))) ) ) )).
fof(l51_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_ring_2(B,A) <=> r1_ring_2(A,B,k12_finseq_1(u1_struct_0(A),B)) ) ) ) )).
fof(l51_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( B = k1_algstr_0(A,C,D) <=> C = k5_algstr_0(A,B,D) ) ) ) ) ) )).
fof(l51_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ? [C] : ( v1_bhsp_1(C) & m1_rusub_1(C,A) & r1_rusub_2(A,C,B) ) ) ) )).
fof(l51_scmbsort,axiom,( k4_scmfsa_2(4) != k4_scmfsa_2(6) )).
fof(l51_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( k1_funct_1(B,k4_scmfsa_2(k5_numbers)) = 1 => ( r5_scmfsa7b(C,B,A) <=> r5_scmfsa7b(C,k1_scmfsa_m(B),A) ) ) ) ) ) )).
fof(l51_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(C,k4_scmfsa_2(k1_nat_1(1,1))) = B & r1_xxreal_0(k1_funct_1(C,k4_scmfsa_2(k1_nat_1(1,1))),k3_finseq_1(k18_scmfsa_2(C,k5_scmfsa_2(k5_numbers)))) ) => ( k18_scmfsa_2(C,k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),C,A),k5_scmfsa_2(k5_numbers)) & k1_funct_1(C,k4_scmfsa_2(k1_nat_1(2,1))) = k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),C,A),k4_scmfsa_2(k1_nat_1(2,1))) & ~ ( B != k5_numbers & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_int_1(E) => ~ ( D = k6_xcmplx_0(k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),C,A),k4_scmfsa_2(k1_nat_1(3,1))),k1_funct_1(C,k4_scmfsa_2(k1_nat_1(3,1)))) & r1_xxreal_0(D,B) & ( r1_xxreal_0(1,k6_xcmplx_0(B,D)) => ( E = k1_funct_1(k18_scmfsa_2(C,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(B,D)) & r1_xxreal_0(k1_funct_1(C,k4_scmfsa_2(k1_nat_1(5,1))),E) ) ) & ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(F,k6_xcmplx_0(B,D)) & ~ r1_xxreal_0(k1_nat_1(B,1),F) & ! [G] : ( v1_int_1(G) => ~ ( G = k1_funct_1(k18_scmfsa_2(C,k5_scmfsa_2(k5_numbers)),F) & r1_xxreal_0(G,k1_funct_1(C,k4_scmfsa_2(k1_nat_1(5,1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l51_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,B,k7_binop_2) => ( r1_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),A) & r1_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),A) & k1_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),A) = k2_xcmplx_0(k1_funct_1(k22_sin_cos,A),k1_funct_1(k22_sin_cos,k4_xcmplx_0(A))) & k1_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),A) = k6_xcmplx_0(k1_funct_1(k22_sin_cos,A),k1_funct_1(k22_sin_cos,k4_xcmplx_0(A))) ) ) ) ) )).
fof(l51_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,1) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(A)))),A),k5_numbers) ) ) )).
fof(l51_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( v1_topreal1(A) => v1_topreal1(k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)) ) ) ) )).
fof(l51_srings_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( r2_tarski(A,k1_srings_2) => ( m1_subset_1(k1_tarski(A),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k1_tarski(A),A) ) ) ) )).
fof(l51_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) & v2_topgen_1(B,A) ) => k2_topgen_1(A,B) = B ) ) ) )).
fof(l51_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => ( v1_funct_1(B) & v1_funct_2(B,k9_xtuple_0(B),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B),A))) ) ) ) )).
fof(l51_vectsp11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => r2_funct_2(u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,k4_matrlin(B,C,C,k3_struct_0(C),D),A),k4_matrlin(B,C,C,k3_struct_0(C),k1_laplace(B,k4_group_1(B),D,A))) ) ) ) ) )).
fof(l51_waybel_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_compts_1(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( C = D & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v5_pre_topc(k4_waybel_1(A,E),A,A) ) & v11_waybel_0(B,A) & r3_waybel_9(A,B,C) ) => r1_lattice3(A,k2_relset_1(u1_struct_0(A),u1_waybel_0(A,B)),D) ) ) ) ) ) )).
fof(l51_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k1_xxreal_3(A,B),k5_numbers) ) ) ) )).
fof(l51_zmodul05,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v5_relat_1(k1_partfun1(k4_ordinal1,C,A,B,k19_finseq_1(C),D),B) & v1_finseq_1(k1_partfun1(k4_ordinal1,C,A,B,k19_finseq_1(C),D)) ) ) ) ) ) )).
fof(l52_analmetr,axiom,( ? [A] : ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_analmetr(A,B,C) ) ) ) )).
fof(l52_arytm_2,axiom,( k11_arytm_3 = k11_arytm_3 )).
fof(l52_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ( k4_card_1(C) = k1_nat_1(B,1) => k4_card_1(k6_subset_1(C,k6_domain_1(u1_struct_0(A),k11_bagorder(A,C)))) = B ) ) ) ) )).
fof(l52_borsuk_1,axiom,( ! [A] : ( l1_pre_topc(A) => m1_pre_topc(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),A) ) )).
fof(l52_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = k5_numbers & ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,B,C)),k8_nat_1(k1_numbers,D,E)) ) ) => B = C ) ) ) ) ) )).
fof(l52_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => k1_square_1(k9_complex1(A)) = k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))) ) )).
fof(l52_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k6_xcmplx_0(k4_card_1(B),1),D) => k1_funct_1(B,D) = k1_funct_1(k7_compos_1(A,B,C),D) ) ) ) ) ) )).
fof(l52_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => ! [C] : ( ( v3_conlat_1(C,A) & ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) => r2_tarski(k1_binop_1(k9_conlat_1(A),B,C),k2_relset_1(k8_conlat_1(A),k9_conlat_1(A))) ) ) ) )).
fof(l52_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(a_2_0_cqc_the1(A,B),k1_cqc_the1(A,B)) ) ) )).
fof(l52_descip_1,axiom,( r2_relset_1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k1_partfun1(k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k4_finseq_2(64,k5_margrel1),k27_descip_1,k25_descip_1),k6_partfun1(k4_finseq_2(64,k5_margrel1))) )).
fof(l52_fib_num4,axiom,( ~ r1_xxreal_0(k2_power(2,2),k2_power(k6_xcmplx_0(1,k3_square_1(5)),2)) )).
fof(l52_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( k14_finseq_1(k2_finseq_1(A)) = k1_finseq_2(A) => k14_finseq_1(k2_finseq_1(k1_nat_1(A,1))) = k1_finseq_2(k1_nat_1(A,1)) ) ) )).
fof(l52_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ( v1_funct_1(k1_funct_5(k22_fomodel2(B,A,C))) & v1_funct_2(k1_funct_5(k22_fomodel2(B,A,C)),k15_fomodel2(B,C),k9_funct_2(k24_fomodel2(B,A),k5_margrel1)) & m1_subset_1(k1_funct_5(k22_fomodel2(B,A,C)),k1_zfmisc_1(k2_zfmisc_1(k15_fomodel2(B,C),k9_funct_2(k24_fomodel2(B,A),k5_margrel1)))) ) ) ) ) )).
fof(l52_funct_9,axiom,( v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k28_sin_cos) )).
fof(l52_gaussint,axiom,( v9_vectsp_1(k13_gaussint,k11_gaussint) & v8_vectsp_1(k13_gaussint,k11_gaussint) & v10_vectsp_1(k13_gaussint,k11_gaussint) & v11_vectsp_1(k13_gaussint,k11_gaussint) & v3_rlvect_1(k13_gaussint) & v4_rlvect_1(k13_gaussint) & v13_algstr_0(k13_gaussint) & v2_rlvect_1(k13_gaussint) )).
fof(l52_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_rlvect_1(A,k4_algstr_0(A,B),k4_algstr_0(A,C)) = k4_algstr_0(A,k3_rlvect_1(A,B,C)) ) ) ) )).
fof(l52_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( k1_nat_1(k3_finseq_1(k8_glib_001(A,B,C,D)),C) = k1_nat_1(D,1) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k3_finseq_1(k8_glib_001(A,B,C,D)),E) => ( k1_funct_1(k8_glib_001(A,B,C,D),k1_nat_1(E,1)) = k1_funct_1(B,k1_nat_1(C,E)) & r2_tarski(k1_nat_1(C,E),k1_relset_1(k4_ordinal1,B)) ) ) ) ) ) ) ) ) ) )).
fof(l52_graph_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => B = C ) => k1_card_1(A) = 1 ) ) )).
fof(l52_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A)),1),k3_xcmplx_0(3,A)) & ~ r1_xxreal_0(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A)),1),A) & ~ r1_xxreal_0(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A)),1),k3_xcmplx_0(2,A)) ) ) )).
fof(l52_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ~ ( A = k5_numbers & B = k5_numbers ) => r1_int_2(k4_int_1(A,k3_int_2(A,B)),k4_int_1(B,k3_int_2(A,B))) ) ) ) )).
fof(l52_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,C) => ! [G] : ( m2_cat_1(G,A,C) => ( ( r2_nattra_1(A,B,D,E) & r2_nattra_1(A,C,F,G) ) => ! [H] : ( m2_nattra_1(H,A,B,D,E) => ! [I] : ( m2_nattra_1(I,A,C,F,G) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( k2_cat_1(A,J,K) != k1_xboole_0 => ! [L] : ( m1_cat_1(L,A,J,K) => k5_cat_1(k6_cat_2(B,C),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),J),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),K),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,E,G),K),k9_cat_3(A,J,K,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),L),k2_nattra_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),k8_isocat_2(A,B,C,E,G),k13_isocat_2(A,B,C,D,E,F,G,H,I),K)) = k5_cat_1(k6_cat_2(B,C),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),J),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,E,G),J),k8_cat_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,E,G),K),k2_nattra_1(A,k6_cat_2(B,C),k8_isocat_2(A,B,C,D,F),k8_isocat_2(A,B,C,E,G),k13_isocat_2(A,B,C,D,E,F,G,H,I),J),k9_cat_3(A,J,K,k6_cat_2(B,C),k8_isocat_2(A,B,C,E,G),L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l52_jgraph_2,axiom,( v4_pre_topc(a_0_7_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_7_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(l52_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(1,C),k2_matrix_0(k1_jordan8(A,B))) => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),1,C)) = k6_xcmplx_0(k6_pscomp_1(A),k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),k1_newton(2,B))) ) ) ) ) )).
fof(l52_jordan3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => k3_finseq_6(A,B,k5_numbers,k5_numbers) = k17_finseq_1(A,1,B) ) ) )).
fof(l52_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( ( k18_euclid(C) = k7_pscomp_1(k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & D = a_1_11_jordan5d(A) & B = k1_xxreal_2(D) ) => r1_xxreal_0(k17_euclid(C),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,k1_matrix_0(k2_goboard2(A))))) ) ) ) ) ) )).
fof(l52_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v2_lattice6(A) & l3_lattices(A) ) => v9_lattice6(k5_lattice6(A),A) ) )).
fof(l52_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( k1_relset_1(k6_glib_000(A),k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k9_lexbfs(A))) = k6_glib_000(A) & k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k9_lexbfs(A)),B) = k1_xboole_0 ) ) )).
fof(l52_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => a_5_8_lfuzzy_1(A,B,C,D,E) = k5_card_3(k1_domain_1(A,A,D,E),a_3_1_lfuzzy_1(A,B,C)) ) ) ) ) ) )).
fof(l52_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(C,k2_normsp_0(A,B)) ) ) => B = k4_struct_0(A) ) ) ) )).
fof(l52_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( v3_matrtop3(k3_matrtop1(A,A,B),A) => k12_matrix_3(A,k2_vectsp_1,B) = k5_struct_0(k2_vectsp_1) ) ) ) )).
fof(l52_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_o_ring_1(B,A) => v13_o_ring_1(B,A) ) ) ) )).
fof(l52_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r6_relat_2(A,B) => v6_relat_2(k2_wellord1(A,B)) ) ) )).
fof(l52_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,k6_poset_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ! [E] : ~ ( D = a_3_1_poset_1(A,B,C) & r2_tarski(E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(G,A,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( E = F & r2_tarski(G,B) & F = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),G,C),k3_yellow_0(A)) ) ) ) ) ) ) ) )).
fof(l52_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)),k1_square_1(D)) = k5_numbers => ( A = k5_numbers & B = k5_numbers & C = k5_numbers & D = k5_numbers ) ) ) ) ) ) )).
fof(l52_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( v3_rlvect_1(k19_quofield(A)) & v4_rlvect_1(k19_quofield(A)) & v13_algstr_0(k19_quofield(A)) ) ) )).
fof(l52_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v4_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => ( v5_ratfunc1(B,A) => k12_ratfunc1(A,B) = k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,B)),k2_hurwitz(A,k5_ratfunc1(A,B))) ) ) ) )).
fof(l52_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ? [C] : ( v1_rlvect_1(C) & m1_rlsub_1(C,A) & r1_rlsub_2(A,C,B) ) ) ) )).
fof(l52_scmbsort,axiom,( k4_scmfsa_2(5) != k4_scmfsa_2(6) )).
fof(l52_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),B,A),k4_scmfsa_2(k1_nat_1(2,1))) = k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1) & k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),B,A),k5_scmfsa_2(k5_numbers)) = k2_funct_7(k4_numbers,k2_funct_7(k4_numbers,k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_int_2(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))),k7_partfun1(k4_numbers,k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_int_2(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)))),k1_int_2(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)),k7_partfun1(k4_numbers,k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_int_2(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))))) ) ) ) )).
fof(l52_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => v4_scmyciel(k6_subset_1(k5_scmyciel(k3_tarski(A)),k1_scmyciel(A))) ) )).
fof(l52_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( A = B => ( k9_complex1(k11_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))) = 1 & r1_xxreal_0(k9_complex1(k1_funct_1(k16_sin_cos,B)),1) & r1_xxreal_0(k9_complex1(k1_funct_1(k18_sin_cos,B)),1) ) ) ) ) )).
fof(l52_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,B,k7_binop_2) => ( r1_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),k7_xcmplx_0(1,2)),A) & k1_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),k7_xcmplx_0(1,2)),A) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),A)) ) ) ) ) )).
fof(l52_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k5_numbers,k2_sin_cos2(A)) ) ) )).
fof(l52_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & A != 1 & k7_xcmplx_0(k3_xcmplx_0(2,A),k6_xcmplx_0(k1_square_1(A),1)) = k5_numbers ) ) )).
fof(l52_srings_2,axiom,( ! [A] : ~ ( r2_tarski(A,k1_srings_2) & ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_srings_2)) ) => ~ m1_eqrel_1(B,A) ) ) )).
fof(l52_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(A,4) => m1_subset_1(A,u2_turing_1(k15_turing_1)) ) ) )).
fof(l52_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k4_matrlin(A,B,B,C,k3_rlvect_1(A,D,E)),k3_matrlin(A,B,B,k4_matrlin(A,B,B,C,D),k4_matrlin(A,B,B,C,E))) ) ) ) ) ) )).
fof(l52_waybel11,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v2_pre_topc(A) ) => v2_pre_topc(B) ) ) ) )).
fof(l52_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v5_orders_3(k3_waybel_1(A,B,C),k1_yellow_2(A,B,C),B) ) ) ) )).
fof(l52_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => v5_orders_3(k10_waybel_4(A),k8_waybel_4(A),k1_yellow_1(k3_waybel_4(A))) ) )).
fof(l52_waybel_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_compts_1(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( C = D & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v5_pre_topc(k4_waybel_1(A,E),A,A) ) & r3_waybel_9(A,B,C) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_lattice3(A,k2_relset_1(u1_struct_0(A),u1_waybel_0(A,B)),E) => r1_orders_2(A,E,D) ) ) ) ) ) ) ) )).
fof(l52_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,k1_xxreal_3(A,B)) ) ) ) )).
fof(l52_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => a_3_21_yellow_4(A,B,C) = k6_domain_1(u1_struct_0(A),k11_lattice3(A,B,C)) ) ) ) )).
fof(l52_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => v2_zmodul03(B) ) ) )).
fof(l53_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [D] : ( m2_finseq_2(D,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [E] : ( m2_finseq_2(E,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ! [F] : ( m2_finseq_2(F,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ( ( E = k1_funct_1(k1_aescip_1(k2_xcmplx_0(7,B),4,k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,B),D),1) & F = k1_funct_1(k1_descip_1(k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k2_xcmplx_0(7,B),k1_aescip_1(k2_xcmplx_0(7,B),4,k4_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k15_aescip_1(A,B),D)),k2_xcmplx_0(7,B)) ) => ( ( B != 4 & B != 6 & B != 8 ) | k2_aescip_1(4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k8_aescip_1,k2_aescip_1(4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k8_aescip_1,C,E),F) = C ) ) ) ) ) ) ) ) )).
fof(l53_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_afvect0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_afvect0(A,B))) => k1_algstr_0(k5_afvect0(A,B),C,D) = k1_algstr_0(k5_afvect0(A,B),D,C) ) ) ) ) )).
fof(l53_analmetr,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(c4__analmetr)) & ? [B] : ( m1_subset_1(B,u1_struct_0(c4__analmetr)) & r1_analmetr(c4__analmetr,A,B) ) ) )).
fof(l53_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ( k5_arytm_2(A,B) = A => ( A = k11_arytm_3 | B = k11_arytm_3 ) ) ) ) )).
fof(l53_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_cfuncdom(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_cfuncdom(u1_struct_0(A)))) => ( ( r2_tarski(B,k6_cc0sp2(A)) & r2_tarski(C,k6_cc0sp2(A)) ) => r2_tarski(k3_rlvect_1(k8_cfuncdom(u1_struct_0(A)),B,C),k6_cc0sp2(A)) ) ) ) ) )).
fof(l53_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_xcmplx_0(A) = k2_xcmplx_0(k7_xcmplx_0(k3_complex1(A),k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A)))),k3_xcmplx_0(k7_xcmplx_0(k1_real_1(k4_complex1(A)),k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A)))),k7_complex1)) ) )).
fof(l53_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => ! [C] : ( ( v3_conlat_1(C,A) & ~ v4_conlat_1(C,A) & v6_conlat_1(C,A) & l2_conlat_1(C,A) ) => r2_tarski(k1_binop_1(k10_conlat_1(A),B,C),k2_relset_1(k8_conlat_1(A),k10_conlat_1(A))) ) ) ) )).
fof(l53_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(l53_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k5_algstr_0(A,k3_rlvect_1(A,C,k1_rlvect_1(A,D,F)),k3_rlvect_1(A,B,k1_rlvect_1(A,D,E))) = k3_rlvect_1(A,k5_algstr_0(A,C,B),k1_rlvect_1(A,D,k6_xcmplx_0(F,E))) ) ) ) ) ) ) )).
fof(l53_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( k3_glib_001(A,k8_glib_001(A,B,C,D)) = k1_funct_1(B,C) & k4_glib_001(A,k8_glib_001(A,B,C,D)) = k1_funct_1(B,D) & r1_glib_001(A,k1_funct_1(B,C),k1_funct_1(B,D),k8_glib_001(A,B,C,D)) ) ) ) ) ) ) )).
fof(l53_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(A,k3_xcmplx_0(2,B)) => ( r1_xxreal_0(A,B) | ( ~ ( ~ r1_xxreal_0(A,k3_xcmplx_0(2,B)) & r1_xxreal_0(A,k3_xcmplx_0(3,B)) ) & ~ r1_xxreal_0(A,B) & r1_xxreal_0(A,k3_xcmplx_0(3,B)) ) ) ) & ( ~ ( ~ r1_xxreal_0(A,B) & r1_xxreal_0(A,k3_xcmplx_0(3,B)) ) => ( ~ ( ~ r1_xxreal_0(A,k3_xcmplx_0(2,B)) & r1_xxreal_0(A,k3_xcmplx_0(3,B)) ) & ~ ( ~ r1_xxreal_0(A,B) & r1_xxreal_0(A,k3_xcmplx_0(2,B)) ) ) ) & ( r1_xxreal_0(A,k3_xcmplx_0(3,B)) => ( r1_xxreal_0(A,k3_xcmplx_0(2,B)) | ( ~ ( ~ r1_xxreal_0(A,B) & r1_xxreal_0(A,k3_xcmplx_0(2,B)) ) & ~ r1_xxreal_0(A,B) & r1_xxreal_0(A,k3_xcmplx_0(3,B)) ) ) ) ) ) ) )).
fof(l53_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ( m1_rewrite1(E,k3_polyred(A,B,C,D)) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) ) => ( r1_xxreal_0(k3_finseq_1(E),1) | ( v1_funct_1(k1_funct_1(E,F)) & v1_funct_2(k1_funct_1(E,F),k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(k1_funct_1(E,F),C) & m1_subset_1(k1_funct_1(E,F),k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) )).
fof(l53_group_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k5_group_1(B,C,k4_xcmplx_0(A)) = k2_group_1(B,k5_group_1(B,C,A)) ) ) ) )).
fof(l53_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(B,A) & r1_int_1(C,A) & r1_int_2(B,C) ) => r1_int_1(k3_xcmplx_0(B,C),A) ) ) ) ) )).
fof(l53_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k18_euclid(A)),k4_xcmplx_0(k18_euclid(B))) & k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) ) ) ) )).
fof(l53_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(C,k3_finseq_1(k1_jordan8(A,B))),k2_matrix_0(k1_jordan8(A,B))) => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),C,k3_finseq_1(k1_jordan8(A,B)))) = k2_xcmplx_0(k7_pscomp_1(A),k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A)),k1_newton(2,B))) ) ) ) ) )).
fof(l53_jordan3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k3_finseq_1(B)) => k3_finseq_6(A,B,C,C) = k6_finseq_1(A) ) ) ) ) )).
fof(l53_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => r1_xxreal_0(2,k3_finseq_1(A)) ) )).
fof(l53_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_lattice6(A) & l3_lattices(A) ) => v8_lattice6(k6_lattice6(A),A) ) )).
fof(l53_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_3_lfuzzy_1(A,B,C,D,E)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_4_lfuzzy_1(A,B,C,D,E)) ) ) ) ) ) )).
fof(l53_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) => B = C ) ) ) ) )).
fof(l53_matrix_9,axiom,( v1_funct_1(k3_finseq_4(k4_ordinal1,1,2,3)) & v1_funct_2(k3_finseq_4(k4_ordinal1,1,2,3),k2_finseq_1(3),k2_finseq_1(3)) & v3_funct_2(k3_finseq_4(k4_ordinal1,1,2,3),k2_finseq_1(3),k2_finseq_1(3)) & v6_matrix_1(k3_finseq_4(k4_ordinal1,1,2,3),3) & m1_subset_1(k3_finseq_4(k4_ordinal1,1,2,3),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3),k2_finseq_1(3)))) )).
fof(l53_matrlin2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => k8_matrix13(B,k3_matrix_1(B,A)) = A ) ) )).
fof(l53_modelc_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,A) => k8_nat_1(k1_numbers,B,D) = k8_nat_1(k1_numbers,C,D) ) ) => k6_series_1(B,A) = k6_series_1(C,A) ) ) ) ) )).
fof(l53_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v8_o_ring_1(B,A) => v12_o_ring_1(B,A) ) ) ) )).
fof(l53_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(B,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(B,B)))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( E = a_3_1_poset_1(B,C,D) & r2_tarski(A,E) ) => m1_subset_1(A,u1_struct_0(B)) ) ) ) ) )).
fof(l53_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k6_rinfsup2(A) = k5_rinfsup2(A) & k6_rinfsup2(A) = k1_supinf_1 ) => ( v10_mesfunc5(A) & k2_mesfunc5(A) = k6_rinfsup2(A) & k2_mesfunc5(A) = k5_rinfsup2(A) ) ) ) )).
fof(l53_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_funct_1(k3_rltopsp1(A,B)) ) ) )).
fof(l53_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k4_struct_0(A) ) )).
fof(l53_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( r1_rusub_2(A,B,C) => r1_rusub_2(A,C,B) ) ) ) ) )).
fof(l53_scmisort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( ( k1_funct_1(B,k4_scmfsa_2(k1_nat_1(3,1))) = A & r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A) | ( r2_classes1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),B,C),k5_scmfsa_2(k5_numbers))) & k1_funct_1(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),B,C),k4_scmfsa_2(k1_nat_1(2,1))) = k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),B,C),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A)) = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) => ( r1_xxreal_0(D,k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A)) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),B,C),k5_scmfsa_2(k5_numbers)),D) = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(D,1)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(D,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),B,C),k5_scmfsa_2(k5_numbers)),D) = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),D) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A),D) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),B,C),k5_scmfsa_2(k5_numbers)),D) = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),D) ) ) ) ) ) ) ) ) ) )).
fof(l53_scmpds_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => k1_funct_1(k1_scmpds_4(k1_scmpds_4(k2_scmpds_4(A,B),C),D),k5_numbers) = A ) ) ) ) )).
fof(l53_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => k3_tarski(A) = k3_tarski(k6_subset_1(k5_scmyciel(k3_tarski(A)),k1_scmyciel(A))) ) )).
fof(l53_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,B,k7_binop_2) => k1_funct_1(k1_sin_cos2,A) = k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),k7_xcmplx_0(1,2)),A) ) ) ) )).
fof(l53_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,k7_xcmplx_0(k2_xcmplx_0(1,k3_square_1(k2_xcmplx_0(1,k1_square_1(A)))),A)) ) ) )).
fof(l53_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( ( v1_topreal1(A) & v1_topreal1(B) ) => ( ( k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) != k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) != k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) ) | v1_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B)) ) ) ) ) )).
fof(l53_srings_2,axiom,( m1_subset_1(k2_tarski(k1_tarski(2),k1_tarski(3)),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k2_tarski(k1_tarski(2),k1_tarski(3)),k2_tarski(2,3)) )).
fof(l53_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(A,3) = k3_xcmplx_0(k3_xcmplx_0(A,A),A) ) )).
fof(l53_toprealb,axiom,( u1_struct_0(k11_toprealb(k9_toprealb)) = k2_struct_0(k11_toprealb(k9_toprealb)) )).
fof(l53_turing_1,axiom,( r2_tarski(k5_numbers,u1_turing_1(k15_turing_1)) & r2_tarski(1,u1_turing_1(k15_turing_1)) )).
fof(l53_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ( u1_struct_0(A) = u1_struct_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,A) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,B) & v7_waybel_0(C) & l1_waybel_0(C,B) ) ) ) ) ) )).
fof(l53_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( v5_waybel_7(k1_waybel_4(A),A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_waybel_3(A,k12_lattice3(A,C,D),B) & ~ r3_orders_2(A,C,B) & ~ r3_orders_2(A,D,B) ) ) ) & ~ v5_waybel_6(B,A) ) ) ) )).
fof(l53_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k2_xxreal_3(B),k2_xxreal_3(A)) ) ) ) )).
fof(l53_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => a_4_1_yellow_4(A,B,C,D) = k7_domain_1(u1_struct_0(A),k11_lattice3(A,B,C),k11_lattice3(A,B,D)) ) ) ) ) )).
fof(l53_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_zmodul05(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_zmodul02(C,A) ) => v1_zmodul02(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),B) ) ) ) ) ) )).
fof(l54_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_afvect0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_afvect0(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_afvect0(A,B))) => k1_algstr_0(k5_afvect0(A,B),k1_algstr_0(k5_afvect0(A,B),C,D),E) = k1_algstr_0(k5_afvect0(A,B),C,k1_algstr_0(k5_afvect0(A,B),D,E)) ) ) ) ) ) )).
fof(l54_analmetr,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(c4__analmetr)) & ? [B] : ( m1_subset_1(B,u1_struct_0(c4__analmetr)) & r1_analmetr(c4__analmetr,A,B) ) ) )).
fof(l54_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( k7_arytm_2(A,B) = A => B = k11_arytm_3 ) ) ) )).
fof(l54_borsuk_1,axiom,( k3_pcomps_1(k7_metric_1) = g1_pre_topc(u1_struct_0(k7_metric_1),k2_pcomps_1(k7_metric_1)) )).
fof(l54_borsuk_7,axiom,( m1_subset_1(k7_borsuk_7,u1_struct_0(k15_euclid(3))) )).
fof(l54_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_cfuncdom(u1_struct_0(A)))) => ( r2_tarski(C,k6_cc0sp2(A)) => r2_tarski(k1_clvect_1(k8_cfuncdom(u1_struct_0(A)),C,B),k6_cc0sp2(A)) ) ) ) ) )).
fof(l54_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( a_2_5_cgames_1(A,B) = a_2_6_cgames_1(A,B) & a_2_7_cgames_1(A,B) = a_2_8_cgames_1(A,B) ) ) ) )).
fof(l54_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k2_numbers,C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,C),C))) ) => ! [G] : ( v1_xcmplx_0(G) => ! [H] : ( m1_subset_1(H,u1_struct_0(g1_clvect_1(C,D,E,F))) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( B = C & F = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k2_zfmisc_1(k2_numbers,B)) & H = I ) => k1_clvect_1(g1_clvect_1(C,D,E,F),H,G) = k1_clvect_1(A,I,G) ) ) ) ) ) ) ) ) ) ) )).
fof(l54_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_rlsub_1(B,k10_funcsdom(k2_finseq_1(A))) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(C,u1_struct_0(B)) & r2_tarski(D,u1_struct_0(B)) ) => r2_tarski(k7_euclid(A,k9_euclid(A,C,E),D),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(l54_fomodel3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v4_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) ) => ( v1_funct_1(k2_partfun1(k3_finseq_2(k1_fomodel1(B)),k3_finseq_2(k1_fomodel1(B)),k20_fomodel0(k1_fomodel1(B),C,D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A))) & v1_funct_2(k2_partfun1(k3_finseq_2(k1_fomodel1(B)),k3_finseq_2(k1_fomodel1(B)),k20_fomodel0(k1_fomodel1(B),C,D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A)) & m1_subset_1(k2_partfun1(k3_finseq_2(k1_fomodel1(B)),k3_finseq_2(k1_fomodel1(B)),k20_fomodel0(k1_fomodel1(B),C,D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A)),k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A)))) ) ) ) ) ) )).
fof(l54_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k7_glib_001(A,k8_glib_001(A,B,C,D),k8_glib_001(A,B,D,E)),k8_glib_001(A,B,C,E)) ) ) ) ) ) ) )).
fof(l54_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_ideal_1(E,k12_polynom1(A,C)) & v2_ideal_1(E,k12_polynom1(A,C)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ~ ( r2_tarski(D,E) & D != k8_polynom1(A,C) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_tarski(F,E) & k5_termord(A,B,C,F) = k1_polynom7(A,C,k5_struct_0(C),k3_termord(A,B,C,D)) & F != k8_polynom1(A,C) ) ) ) ) ) ) ) ) )).
fof(l54_group_1,axiom,( ! [A] : ( v1_int_1(A) => ~ ( ~ r1_xxreal_0(1,A) & A != k5_numbers & r1_xxreal_0(k5_numbers,A) ) ) )).
fof(l54_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B)))),k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) )).
fof(l54_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k3_relat_1(k5_relat_1(k2_funct_1(k1_jgraph_3),A),k5_pscomp_1)) & v1_funct_2(k3_relat_1(k5_relat_1(k2_funct_1(k1_jgraph_3),A),k5_pscomp_1),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k3_relat_1(k5_relat_1(k2_funct_1(k1_jgraph_3),A),k5_pscomp_1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(l54_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(2))) => ( ( r2_tarski(E,k9_metric_1(k14_euclid(2),D,k2_xcmplx_0(k12_euclid(C),1))) & B = F & A = E & D = k4_struct_0(k15_euclid(2)) & k12_euclid(A) = k12_euclid(B) ) => r2_tarski(B,k9_metric_1(k14_euclid(2),D,k2_xcmplx_0(k12_euclid(C),1))) ) ) ) ) ) ) ) )).
fof(l54_jordan1a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(k3_finseq_1(k1_jordan8(A,B)),C),k2_matrix_0(k1_jordan8(A,B))) => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k3_finseq_1(k1_jordan8(A,B)),C)) = k2_xcmplx_0(k8_pscomp_1(A),k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),k1_newton(2,B))) ) ) ) ) )).
fof(l54_jordan3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k3_finseq_6(A,B,C,D) = k4_finseq_5(A,k3_finseq_6(A,B,D,C)) ) ) ) ) )).
fof(l54_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(D) & k1_seq_2(D) = k5_numbers & ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,B,C)),k8_nat_1(k1_numbers,D,E)) ) ) => B = C ) ) ) ) ) )).
fof(l54_matrix_9,axiom,( v1_funct_1(k3_finseq_4(k4_ordinal1,2,3,1)) & v1_funct_2(k3_finseq_4(k4_ordinal1,2,3,1),k2_finseq_1(3),k2_finseq_1(3)) & v3_funct_2(k3_finseq_4(k4_ordinal1,2,3,1),k2_finseq_1(3),k2_finseq_1(3)) & v6_matrix_1(k3_finseq_4(k4_ordinal1,2,3,1),3) & m1_subset_1(k3_finseq_4(k4_ordinal1,2,3,1),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3),k2_finseq_1(3)))) )).
fof(l54_matrtop1,axiom,( v1_xreal_0(1) )).
fof(l54_modelc_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,A) => ( E = B | k8_nat_1(k1_numbers,C,E) = k8_nat_1(k1_numbers,D,E) ) ) ) & r1_xxreal_0(B,A) ) => k6_xcmplx_0(k6_series_1(C,A),k8_nat_1(k1_numbers,C,B)) = k6_xcmplx_0(k6_series_1(D,A),k8_nat_1(k1_numbers,D,B)) ) ) ) ) ) )).
fof(l54_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_int_1(k2_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,2),k1_newton(B,2))) ) ) )).
fof(l54_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_o_ring_1(B,A) => v13_o_ring_1(B,A) ) ) ) )).
fof(l54_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,k2_oppcat_1(B),A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,C),k3_oppcat_1(B,D))) ) ) ) ) )).
fof(l54_pcs_0,axiom,( ! [A] : ! [B] : k10_xtuple_0(k6_afinsq_1(A,B)) = k2_tarski(A,B) )).
fof(l54_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,k6_poset_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( D = a_3_1_poset_1(A,B,C) => ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(l54_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k6_rinfsup2(A) = k5_rinfsup2(A) & k6_rinfsup2(A) = k2_supinf_1 ) => ( v10_mesfunc5(A) & k2_mesfunc5(A) = k6_rinfsup2(A) & k2_mesfunc5(A) = k5_rinfsup2(A) ) ) ) )).
fof(l54_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( ~ v1_xboole_0(E) & m2_finseq_1(E,u1_struct_0(A)) ) => ~ ( v4_ring_2(D,A) & r2_gcd_1(A,D,B) & r4_gcd_1(A,B,C) & r1_ring_2(A,C,E) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(E)) => ~ r4_gcd_1(A,k1_ring_2(u1_struct_0(A),E,F),D) ) ) ) ) ) ) ) )).
fof(l54_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ( r1_rlsub_2(A,B,C) => r1_rlsub_2(A,C,B) ) ) ) ) )).
fof(l54_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_finseq_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k3_finseq_1(B) = k5_numbers => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(l54_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),A,B),k4_scmfsa_2(k1_nat_1(1,1))) = k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1)))) & k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),A,B),k4_scmfsa_2(k1_nat_1(2,1))) = k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),1) & k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),A,B),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),A,B),k4_scmfsa_2(k1_nat_1(3,1))) = k5_numbers & k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),A,B),k4_scmfsa_2(k1_nat_1(5,1))) = k7_partfun1(k4_numbers,k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k1_int_2(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),1))) ) ) ) )).
fof(l54_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ~ ( ~ ( ~ r2_tarski(A,k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) & ~ r2_tarski(A,a_0_1_scmpds_2) & ~ r2_tarski(A,a_0_2_scmpds_2) & ~ r2_tarski(A,a_0_3_scmpds_2) & ~ r2_tarski(A,a_0_5_scmpds_2) ) & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != k5_numbers & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 14 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 1 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 2 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 3 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 9 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 10 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 11 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 12 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 13 ) ) )).
fof(l54_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k61_valued_1(A,1),k2_scmpds_7(B,C,D,A)) ) ) ) ) )).
fof(l54_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ( ( r2_tarski(B,k3_tarski(A)) & r2_tarski(C,k3_tarski(A)) ) => ( B = C | ( r2_tarski(k2_tarski(B,C),k1_scmyciel(A)) <=> ~ r2_hidden(k2_tarski(B,C),k1_scmyciel(k6_subset_1(k5_scmyciel(k3_tarski(A)),k1_scmyciel(A)))) ) ) ) ) )).
fof(l54_sin_cos2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,A,k7_binop_2) => r2_relset_1(k1_numbers,k1_numbers,k1_sin_cos2,k26_valued_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,k22_sin_cos)),k7_xcmplx_0(1,2))) ) ) )).
fof(l54_srings_2,axiom,( ! [A] : ~ ( r2_tarski(A,k3_setfam_1(k1_srings_2,k1_srings_2)) & ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_srings_2)) ) => ~ m1_eqrel_1(B,A) ) ) )).
fof(l54_toprealb,axiom,( u1_struct_0(k11_toprealb(k10_toprealb)) = k2_struct_0(k11_toprealb(k10_toprealb)) )).
fof(l54_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k3_zfmisc_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1)))) => ! [B] : ! [C] : ! [D] : ( A = k3_xtuple_0(B,C,D) => ( B = 4 | k8_turing_1(k15_turing_1,A) = k3_xtuple_0(k1_mcart_1(u2_turing_1(k15_turing_1),u1_turing_1(k15_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k15_turing_1,A)),k2_xcmplx_0(k6_turing_1(k15_turing_1,A),k5_turing_1(k15_turing_1,k7_turing_1(k15_turing_1,A))),k4_turing_1(k15_turing_1,k3_mcart_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1)),A),k6_turing_1(k15_turing_1,A),k2_mcart_1(u2_turing_1(k15_turing_1),u1_turing_1(k15_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k15_turing_1,A)))) ) ) ) )).
fof(l54_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ( u1_struct_0(A) = u1_struct_0(B) => k5_yellow_6(A) = k5_yellow_6(B) ) ) ) )).
fof(l54_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(k5_numbers,k6_xcmplx_0(A,B)) ) ) ) )).
fof(l55_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r5_aff_1(A,B,C) & r5_aff_1(A,C,D) ) => r5_aff_1(A,B,D) ) ) ) ) ) )).
fof(l55_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ~ ( ~ ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) & ! [B] : ( m1_subset_1(B,u1_incsp_1(k14_afproj(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(k14_afproj(A))) => r1_incsp_1(k14_afproj(A),B,C) ) ) ) ) )).
fof(l55_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_afvect0(A,B))) => k1_algstr_0(k5_afvect0(A,B),C,k4_struct_0(k5_afvect0(A,B))) = C ) ) ) )).
fof(l55_analmetr,axiom,( r1_analmetr(c4__analmetr,c5__analmetr,c6__analmetr) )).
fof(l55_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ~ ( A != k11_arytm_3 & r1_tarski(A,B) & A != B & ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k5_arytm_2(A,C) != B ) ) ) ) )).
fof(l55_borsuk_7,axiom,( m1_subset_1(k7_borsuk_7,u1_struct_0(k8_toprealb(k1_nat_1(2,1)))) )).
fof(l55_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_cfuncdom(u1_struct_0(A)))) => ( r2_tarski(B,k6_cc0sp2(A)) => r2_tarski(k4_algstr_0(k8_cfuncdom(u1_struct_0(A)),B),k6_cc0sp2(A)) ) ) ) )).
fof(l55_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ( m2_subset_1(k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k5_numbers,1,k5_numbers),k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k3_ec_pf_1(k9_int_3(A))) & k1_funct_1(k5_ec_pf_1(A,B,C),k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k5_numbers,1,k5_numbers)) = k4_struct_0(k9_int_3(A)) ) ) ) ) )).
fof(l55_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_fintopo6(k6_domain_1(u1_struct_0(A),B),A) ) ) )).
fof(l55_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ( v1_funct_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k35_fomodel1(A))) & v1_funct_2(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k35_fomodel1(A)),k35_fomodel1(A),k35_fomodel1(A)) & m1_subset_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k35_fomodel1(A)),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A),k35_fomodel1(A)))) ) ) ) ) )).
fof(l55_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(l55_gaussint,axiom,( ~ v2_struct_0(k14_gaussint) & ~ v6_struct_0(k14_gaussint) & v13_algstr_0(k14_gaussint) & v33_algstr_0(k14_gaussint) & v2_rlvect_1(k14_gaussint) & v3_rlvect_1(k14_gaussint) & v4_rlvect_1(k14_gaussint) & v3_group_1(k14_gaussint) & v5_group_1(k14_gaussint) & v4_vectsp_1(k14_gaussint) & v5_vectsp_1(k14_gaussint) & l6_algstr_0(k14_gaussint) )).
fof(l55_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k8_glib_001(A,B,1,k3_finseq_1(B)),B) ) ) )).
fof(l55_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_groeb_2(A,k3_termord(A,B,C,D),k3_termord(A,B,C,E)) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ~ ( r2_tarski(F,k3_polynom1(k15_pre_poly(A),C,D)) & r2_tarski(G,k3_polynom1(k15_pre_poly(A),C,E)) & ~ ( F = k3_termord(A,B,C,D) & G = k3_termord(A,B,C,E) ) & k11_pre_poly(A,k3_termord(A,B,C,D),G) = k11_pre_poly(A,k3_termord(A,B,C,E),F) ) ) ) ) ) ) ) ) ) )).
fof(l55_group_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k5_group_1(B,C,k6_xcmplx_0(A,1)) = k6_algstr_0(B,k5_group_1(B,C,A),k5_group_1(B,C,k4_xcmplx_0(1))) ) ) ) )).
fof(l55_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ v3_lattice3(k1_heyting3(k4_ordinal1,k6_domain_1(k4_ordinal1,A))) ) )).
fof(l55_int_5,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => m1_subset_1(k1_wsierp_1(A),k4_ordinal1) ) )).
fof(l55_integra1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r2_tarski(A,k4_finseq_1(C)) & r2_tarski(B,k4_finseq_1(C)) & r1_xxreal_0(A,B) ) => k3_finseq_1(k2_finseq_6(C,A,B)) = k2_xcmplx_0(k6_xcmplx_0(B,A),1) ) ) ) ) )).
fof(l55_jgraph_2,axiom,( v4_pre_topc(a_0_8_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_8_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(l55_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_funct_1(k3_relat_1(k5_relat_1(k2_funct_1(k1_jgraph_3),A),k4_pscomp_1)) & v1_funct_2(k3_relat_1(k5_relat_1(k2_funct_1(k1_jgraph_3),A),k4_pscomp_1),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & m1_subset_1(k3_relat_1(k5_relat_1(k2_funct_1(k1_jgraph_3),A),k4_pscomp_1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) ) )).
fof(l55_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => r1_tarski(k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)),k3_topreal1(2,A)) ) ) ) ) )).
fof(l55_matrix_9,axiom,( v1_funct_1(k3_finseq_4(k4_ordinal1,3,1,2)) & v1_funct_2(k3_finseq_4(k4_ordinal1,3,1,2),k2_finseq_1(3),k2_finseq_1(3)) & v3_funct_2(k3_finseq_4(k4_ordinal1,3,1,2),k2_finseq_1(3),k2_finseq_1(3)) & v6_matrix_1(k3_finseq_4(k4_ordinal1,3,1,2),3) & m1_subset_1(k3_finseq_4(k4_ordinal1,3,1,2),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3),k2_finseq_1(3)))) )).
fof(l55_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v2_rcomp_1(A) => v2_rcomp_1(k3_measure6(A)) ) ) )).
fof(l55_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_tarski(D,k1_relset_1(A,F)) & r1_mesfunc1(A,B,F,D) & D = k1_xboole_0 & ! [G] : ( v7_ordinal1(G) => r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,E,G)) ) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( ! [H] : ( v7_ordinal1(H) => k12_supinf_2(G,H) = k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,E,H),D)) ) & v1_mesfunc9(G) & k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,F,D)) = k2_mesfunc9(G) ) ) ) ) ) ) ) ) ) )).
fof(l55_mod_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => r2_tarski(u1_struct_0(k18_mod_2),A) ) )).
fof(l55_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(A))) => ( ! [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ( r2_tarski(D,B) => r2_tarski(D,C) ) ) => r1_tarski(B,C) ) ) ) )).
fof(l55_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v9_o_ring_1(B,A) => v12_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l55_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,k6_poset_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( r2_tarski(C,B) & r2_tarski(D,B) & ~ r1_yellow_2(u1_struct_0(A),A,C,D) & ~ r1_yellow_2(u1_struct_0(A),A,D,C) ) ) ) ) ) )).
fof(l55_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k19_quofield(A)) & v5_group_1(k19_quofield(A)) & l6_algstr_0(k19_quofield(A)) ) ) )).
fof(l55_real_3,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l55_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k6_rinfsup2(A) = k5_rinfsup2(A) & r2_tarski(k6_rinfsup2(A),k1_numbers) ) => ( v10_mesfunc5(A) & k2_mesfunc5(A) = k6_rinfsup2(A) & k2_mesfunc5(A) = k5_rinfsup2(A) ) ) ) )).
fof(l55_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & m2_finseq_1(D,u1_struct_0(A)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m2_finseq_1(E,u1_struct_0(A)) ) => ~ ( r1_ring_2(A,B,D) & r1_ring_2(A,C,E) & r4_gcd_1(A,B,C) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(D),k4_finseq_1(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(D),k4_finseq_1(E)))) ) => ~ ( v3_funct_2(F,k4_finseq_1(D),k4_finseq_1(E)) & ! [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(D)) => r4_gcd_1(A,k1_ring_2(u1_struct_0(A),E,k3_funct_2(k4_finseq_1(D),k4_finseq_1(E),F,G)),k1_ring_2(u1_struct_0(A),D,G)) ) ) ) ) ) ) ) ) ) )).
fof(l55_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ( r1_struct_0(C,B) <=> k3_rlsub_1(A,B,C) = u1_struct_0(C) ) ) ) ) )).
fof(l55_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v5_pre_topc(k3_rltopsp1(A,B),A,A) ) ) )).
fof(l55_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_rmod_2(D,A,B) => ( r1_struct_0(D,C) <=> k3_rmod_2(A,B,C,D) = u1_struct_0(D) ) ) ) ) ) )).
fof(l55_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ( k1_rmod_3(A,B,C,D) = g1_vectsp_2(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_2(A,B)) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r1_struct_0(C,F) & r1_struct_0(D,G) & E = k3_rlvect_1(B,F,G) ) ) ) ) ) ) ) ) )).
fof(l55_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),1) => ( r2_classes1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),A,B),k5_scmfsa_2(k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(D,k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(D,C) | ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ( ( E = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),A,B),k5_scmfsa_2(k5_numbers)),C) & F = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),A,B),k5_scmfsa_2(k5_numbers)),D) ) => r1_xxreal_0(F,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l55_scmpds_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => r1_tarski(k61_valued_1(k10_compos_1(k1_scmpds_2,B),1),k1_funct_4(C,k10_compos_1(k1_scmpds_2,k2_scmpds_4(A,B)))) ) ) ) )).
fof(l55_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( v4_scmyciel(B) => ( B = k6_subset_1(k5_scmyciel(k3_tarski(A)),k1_scmyciel(A)) => k6_subset_1(k5_scmyciel(k3_tarski(B)),k1_scmyciel(B)) = A ) ) ) )).
fof(l55_srings_2,axiom,( ~ r2_tarski(k3_xboole_0(k1_enumset1(1,2,3),k1_enumset1(2,3,4)),k1_srings_2) )).
fof(l55_tmap_1,axiom,( ! [A] : ( v1_funct_1(k1_xboole_0) & v1_funct_2(k1_xboole_0,A,k1_xboole_0) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k2_zfmisc_1(A,k1_xboole_0))) ) )).
fof(l55_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( ( D = E & r1_waybel_0(A,D,C) ) => r1_waybel_0(B,E,C) ) ) ) ) ) )).
fof(l55_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) <=> r1_int_1(A,k1_int_2(B)) ) ) ) )).
fof(l56_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m2_finseq_2(C,A,k4_finseq_2(B,A)) => ( ( r1_xxreal_0(8,B) & r1_xxreal_0(8,k6_xcmplx_0(B,8)) & r1_xxreal_0(16,B) & r1_xxreal_0(8,k6_xcmplx_0(B,16)) & r1_xxreal_0(24,B) & r1_xxreal_0(8,k6_xcmplx_0(B,24)) ) => m2_finseq_2(k7_finseq_4(k2_descip_1(A,8,C),k2_descip_1(A,8,k3_descip_1(A,8,C)),k2_descip_1(A,8,k3_descip_1(A,16,C)),k2_descip_1(A,8,k3_descip_1(A,24,C))),k4_finseq_2(8,A),k4_finseq_2(4,k4_finseq_2(8,A))) ) ) ) ) )).
fof(l56_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k13_afproj(A))) => ! [D] : ( m1_subset_1(D,u2_incsp_1(k13_afproj(A))) => ! [E] : ( m1_subset_1(E,u2_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),B,D) & r1_incsp_1(k13_afproj(A),B,E) & r1_incsp_1(k13_afproj(A),C,D) & r1_incsp_1(k13_afproj(A),C,E) & B != C & D != E ) ) ) ) ) ) )).
fof(l56_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_rlvect_1(k5_afvect0(A,B)) & v3_rlvect_1(k5_afvect0(A,B)) & v4_rlvect_1(k5_afvect0(A,B)) ) ) ) )).
fof(l56_algstr_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => v2_funct_1(k16_algstr_4(A,B)) ) )).
fof(l56_analmetr,axiom,( ~ v7_struct_0(g1_analoaf(u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)),u1_analoaf(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)))) & v1_diraf(g1_analoaf(u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)),u1_analoaf(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)))) & v2_diraf(g1_analoaf(u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)),u1_analoaf(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)))) & l1_analoaf(g1_analoaf(u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)),u1_analoaf(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr)))) & ! [A] : ( m1_subset_1(A,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ( ( r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,A,B) => A = B ) & r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,C,C) & ( r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,C,D) => ( r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,D,C) & r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),C,D,A,B) ) ) & ~ ( r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,E,F) & r2_analoaf(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,G,H) & ~ r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),E,F,G,H) & A != B ) & ~ ( r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,E,F) & r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,G,H) & ~ r2_analoaf(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),E,F,G,H) & A != B ) ) ) ) ) ) ) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) => ? [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr))) & r4_analmetr(k2_analmetr(c4__analmetr,c5__analmetr,c6__analmetr),A,B,C,D) & C != D ) ) ) ) )).
fof(l56_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( r1_arytm_2(A,B) => r1_tarski(k3_arytm_2(A),k3_arytm_2(B)) ) ) ) )).
fof(l56_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k1_algstr_0(k9_c0sp2(A),B,C) = k3_rlvect_1(k11_c0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l56_catalan2,axiom,( v7_ordinal1(k5_numbers) )).
fof(l56_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k9_xtuple_0(B) = k10_cgames_1(A) & ! [C] : ( v2_cgames_1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = g1_cgames_1(a_2_1_cgames_1(B,C),a_2_2_cgames_1(B,C)) ) ) ) => ! [C] : ( v2_cgames_1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k13_cgames_1(C) ) ) ) ) ) )).
fof(l56_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k1_xboole_0) & v1_funct_1(A) & v1_partfun1(A,k1_xboole_0) & v1_yellow_1(A) ) => ( ~ v2_struct_0(k4_yellow_1(k1_xboole_0,A)) & v3_dickson(k4_yellow_1(k1_xboole_0,A)) & v4_dickson(k4_yellow_1(k1_xboole_0,A)) & v5_orders_2(k4_yellow_1(k1_xboole_0,A)) ) ) )).
fof(l56_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( ( v2_euclid_4(B,A) & r2_tarski(C,B) & r2_tarski(D,B) ) => ( C = D | B = k5_rltopsp1(k15_euclid(A),C,D) ) ) ) ) ) ) )).
fof(l56_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k20_fomodel2(B,C,k22_fomodel2(B,A,C))) = k2_zfmisc_1(k15_fomodel2(B,C),k28_fomodel2(B,A)) ) ) ) )).
fof(l56_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ? [E] : ( v4_fomodel2(E,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & k29_fomodel2(A,D) = k29_fomodel2(A,E) & k3_funct_2(k3_finseq_2(k15_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),D) = E ) ) ) ) ) )).
fof(l56_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => k8_glib_001(A,B,C,C) = k12_finseq_1(k6_glib_000(A),k5_glib_001(A,B,C)) ) ) ) ) )).
fof(l56_group_1,axiom,( ! [A] : ( v1_int_1(A) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & A != k4_xcmplx_0(1) & r1_xxreal_0(k4_xcmplx_0(1),A) ) ) )).
fof(l56_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k18_euclid(A)),k4_xcmplx_0(k18_euclid(B))) ) ) ) )).
fof(l56_jordan3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_finseq_1(D,C) => ( ( r2_tarski(A,k4_finseq_1(D)) & r2_tarski(B,k4_finseq_1(D)) ) => r1_xxreal_0(1,k3_finseq_1(k3_finseq_6(C,D,A,B))) ) ) ) ) ) )).
fof(l56_jordan6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr)))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( v5_pre_topc(A,k17_borsuk_1,k3_topmetr) & ~ r1_xxreal_0(D,k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr),A,k18_borsuk_1)) & ~ r1_xxreal_0(k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k3_topmetr),A,k19_borsuk_1),D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(1,E) & k1_funct_1(A,E) = D ) ) ) ) ) ) ) )).
fof(l56_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v13_vectsp_1(B,k15_euclid(A),k15_euclid(A)) & v1_topreal9(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) ) => ( v3_matrtop3(B,A) => v4_matrix_6(k3_matrtop3(A,B),A,k2_vectsp_1) ) ) ) )).
fof(l56_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_tarski(D,k1_relset_1(A,F)) & v6_supinf_2(F) & r1_mesfunc1(A,B,F,D) & v2_mesfunc9(E,A) & r1_seqfunc(A,k6_numbers,E,D) & ! [G] : ( v7_ordinal1(G) => ( r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,E,G)) & v6_supinf_2(k4_mesfunc5(A,k6_numbers,E,G)) ) ) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,D) => ( v1_mesfunc9(k3_mesfunc5(A,E,G)) & k12_supinf_2(F,G) = k2_mesfunc9(k3_mesfunc5(A,E,G)) ) ) ) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( ! [H] : ( v7_ordinal1(H) => k12_supinf_2(G,H) = k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,E,H),D)) ) & v1_mesfunc9(G) & k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,F,D)) = k2_mesfunc9(G) ) ) ) ) ) ) ) ) ) )).
fof(l56_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => r2_modelc_1(A,B,C,k5_numbers) ) ) ) )).
fof(l56_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(C,A) & v9_o_ring_1(B,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),B)),k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l56_pnproc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v2_finseq_1(D) ) => ( ( r1_tarski(C,A) & r1_tarski(D,B) ) => r1_tarski(k9_xtuple_0(k2_xboole_0(C,k61_valued_1(D,k3_finseq_1(A)))),k4_finseq_1(k7_finseq_1(A,B))) ) ) ) ) ) )).
fof(l56_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k6_matrix_3(A,k4_matrix_3(A,k3_matrix_1(A,k2_nat_1(2,B)),k3_polynom8(k2_nat_1(2,B),A,k12_polynom3(A,C,D))),k1_polynom8(A,k2_nat_1(2,B))) = k6_matrix_3(A,k3_polynom8(k2_nat_1(2,B),A,k12_polynom3(A,C,D)),k1_polynom8(A,k2_nat_1(2,B))) ) ) ) ) ) )).
fof(l56_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,k6_poset_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( D = a_3_1_poset_1(A,B,C) => ( ~ v1_xboole_0(D) & v6_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(l56_quaterni,axiom,( k5_quaterni(c1__quaterni,c2__quaterni,c2__quaterni,c2__quaterni) = 1 )).
fof(l56_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => v4_vectsp_1(k19_quofield(A)) ) )).
fof(l56_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v3_pre_topc(B,A) => v3_pre_topc(k5_rusub_4(A,B,C),A) ) ) ) ) )).
fof(l56_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( C = k3_rlvect_1(B,D,E) <=> D = k5_algstr_0(B,C,E) ) ) ) ) ) ) )).
fof(l56_scmpds_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => r1_tarski(k61_valued_1(k10_compos_1(k1_scmpds_2,C),2),k1_funct_4(D,k10_compos_1(k1_scmpds_2,k1_scmpds_4(k4_scmpds_4(A,B),C)))) ) ) ) ) )).
fof(l56_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ r2_semi_af1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(l56_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,B,k7_binop_2) => ( r1_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),k7_xcmplx_0(1,2)),A) & k1_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),k7_xcmplx_0(1,2)),A) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),A)) ) ) ) ) )).
fof(l56_srings_2,axiom,( k6_subset_1(k2_enumset1(1,2,3,4),k1_enumset1(1,2,3)) = k1_tarski(4) )).
fof(l56_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topalg_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_topalg_1(A,B))) => ! [E] : ( m1_borsuk_2(E,A,B,B) => ! [F] : ( m1_borsuk_2(F,A,B,B) => ( ( C = k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),E) & D = k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),F) ) => k6_algstr_0(k5_topalg_1(A,B),C,D) = k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),k1_borsuk_2(A,B,B,B,E,F)) ) ) ) ) ) ) ) )).
fof(l56_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m2_finseq_1(B,k1_topalg_6(A)) => ! [C] : ( m2_finseq_1(C,k1_topalg_6(A)) => k1_funct_1(k5_topalg_6(A,k8_finseq_1(k1_topalg_6(A),B,C)),k3_finseq_1(B)) = k1_funct_1(k5_topalg_6(A,B),k3_finseq_1(B)) ) ) ) )).
fof(l56_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ( r1_struct_0(D,C) <=> k3_vectsp_4(A,B,C,D) = u1_struct_0(D) ) ) ) ) ) )).
fof(l56_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( k1_vectsp_5(A,B,C,D) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r1_struct_0(C,F) & r1_struct_0(D,G) & E = k3_rlvect_1(B,F,G) ) ) ) ) ) ) ) ) )).
fof(l56_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,B) ) => ( C = D => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( E = F & r2_tarski(E,k9_yellow_6(A,C)) ) => r2_tarski(F,k9_yellow_6(B,D)) ) ) ) ) ) ) ) ) ) )).
fof(l56_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k5_int_1(k3_xcmplx_0(A,B),B) = k5_numbers ) ) )).
fof(l57_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( m2_finseq_2(G,A,k4_finseq_2(B,A)) => ( ( r1_xxreal_0(C,B) & r1_xxreal_0(8,k6_xcmplx_0(B,C)) & D = k1_nat_1(C,8) & r1_xxreal_0(D,B) & r1_xxreal_0(8,k6_xcmplx_0(B,D)) & E = k1_nat_1(C,16) & r1_xxreal_0(E,B) & r1_xxreal_0(8,k6_xcmplx_0(B,E)) & F = k1_nat_1(C,24) & r1_xxreal_0(F,B) & r1_xxreal_0(8,k6_xcmplx_0(B,F)) ) => m2_finseq_2(k7_finseq_4(k2_descip_1(A,8,k3_descip_1(A,C,G)),k2_descip_1(A,8,k3_descip_1(A,D,G)),k2_descip_1(A,8,k3_descip_1(A,E,G)),k2_descip_1(A,8,k3_descip_1(A,F,G))),k4_finseq_2(8,A),k4_finseq_2(4,k4_finseq_2(8,A))) ) ) ) ) ) ) ) ) )).
fof(l57_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(k13_afproj(A))) => ? [C] : ( m1_subset_1(C,u1_incsp_1(k13_afproj(A))) & ? [D] : ( m1_subset_1(D,u1_incsp_1(k13_afproj(A))) & ? [E] : ( m1_subset_1(E,u1_incsp_1(k13_afproj(A))) & r1_incsp_1(k13_afproj(A),C,B) & r1_incsp_1(k13_afproj(A),D,B) & r1_incsp_1(k13_afproj(A),E,B) & C != D & D != E & E != C ) ) ) ) ) )).
fof(l57_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v13_algstr_0(k5_afvect0(A,B)) ) ) )).
fof(l57_algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( k1_relset_1(k11_algstr_4(A,1),k16_algstr_4(A,1)) = A & ! [B] : ( r2_tarski(B,A) => k1_funct_1(k16_algstr_4(A,1),B) = k4_tarski(B,1) ) ) ) )).
fof(l57_anproj_2,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ? [B] : ( m1_subset_1(B,A) & ? [C] : ( m1_subset_1(C,A) & ? [D] : ( m1_subset_1(D,A) & ? [E] : ( m1_subset_1(E,A) & A = k9_domain_1(A,B,C,D,E) & B != C & B != D & B != E & C != D & C != E & D != E ) ) ) ) ) )).
fof(l57_asympt_1,axiom,( k5_series_1(2,12) = 4096 )).
fof(l57_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k7_bcialg_1(A,B)) => k1_bcialg_1(A,B,C) = k4_struct_0(A) ) ) ) )).
fof(l57_borsuk_7,axiom,( m1_subset_1(k8_borsuk_7,u1_struct_0(k15_euclid(3))) )).
fof(l57_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_c0sp1(u1_struct_0(A)))) => ( C = D => k1_rlvect_1(k9_c0sp2(A),C,B) = k1_rlvect_1(k11_c0sp1(u1_struct_0(A)),D,B) ) ) ) ) ) )).
fof(l57_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_wellord2(A,B) => A = B ) ) ) )).
fof(l57_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => m2_subset_1(k4_domain_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),k4_ordinal1,B,C,1),k3_zfmisc_1(u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A)),u1_struct_0(k9_int_3(A))),k3_ec_pf_1(k9_int_3(A))) ) ) ) )).
fof(l57_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & C = E & D = F ) => k5_filter_0(A,C,D) = k5_filter_0(B,E,F) ) ) ) ) ) ) ) )).
fof(l57_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k18_fomodel2(B,C,k22_fomodel2(B,A,C))) = k2_zfmisc_1(k15_fomodel2(B,C),k27_fomodel2(B,A)) ) ) ) )).
fof(l57_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k29_fomodel2(A,D) = k29_fomodel2(A,k24_fomodel3(A,B,C,D)) ) ) ) ) )).
fof(l57_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k36_gfacirc1(A,B,C) != k4_tarski(D,k2_twoscomp) )).
fof(l57_funct_9,axiom,( v1_funct_9(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k28_sin_cos) )).
fof(l57_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(C,D) => ( v1_abian(C) | r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k8_glib_001(A,k8_glib_001(A,B,1,D),1,C),k8_glib_001(A,B,1,C)) ) ) ) ) ) ) )).
fof(l57_group_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k5_group_1(B,C,k2_xcmplx_0(A,1)) = k6_algstr_0(B,k5_group_1(B,C,A),k5_group_1(B,C,1)) ) ) ) )).
fof(l57_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))))) ) ) )).
fof(l57_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(k1_square_1(1),k1_square_1(k7_xcmplx_0(k4_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(C,k12_euclid(A)),B)),k6_xcmplx_0(1,B)))) & r1_xxreal_0(k4_xcmplx_0(k5_numbers),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(C,k12_euclid(A)),B),k6_xcmplx_0(1,B))))))) ) ) ) ) )).
fof(l57_jordan3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_finseq_1(D,C) => ~ ( r2_tarski(A,k4_finseq_1(D)) & r2_tarski(B,k4_finseq_1(D)) & v1_xboole_0(k3_finseq_6(C,D,A,B)) ) ) ) ) ) )).
fof(l57_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_lattices(A,B,k1_lattices(A,B,C)) ) ) ) )).
fof(l57_matrix_9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_finseq_1(3),k2_finseq_1(3)) & v3_funct_2(A,k2_finseq_1(3),k2_finseq_1(3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3),k2_finseq_1(3)))) ) => k1_partfun1(k4_ordinal1,k4_ordinal1,k2_finseq_1(3),k2_finseq_1(3),k3_finseq_4(k4_ordinal1,1,2,3),A) = A ) )).
fof(l57_matrixj1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,B,A,A) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( v2_matrixj1(k4_matrixj1(B,C),B) & m2_finseq_1(k4_matrixj1(B,C),k3_finseq_2(k3_finseq_2(B))) ) ) ) ) )).
fof(l57_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_matrlin(D,A,B) => ! [E] : ( m1_matrlin(E,A,C) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(E)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(D),k5_numbers) & ~ r1_xxreal_0(k3_finseq_1(E),k5_numbers) & k11_ranknull(A,B,C,k4_matrlin2(A,B,C,D,E,F)) != k6_xcmplx_0(k3_finseq_1(D),k8_matrix13(A,F)) ) ) ) ) ) ) ) )).
fof(l57_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( v1_xreal_0(B) => k1_measure6(A,B) = a_2_0_measure6(A,B) ) ) )).
fof(l57_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(k1_relset_1(A,D),B) & ! [F] : ( r2_hidden(F,k1_relset_1(A,D)) => k1_funct_1(D,F) = E ) ) => r1_mesfunc2(A,B,D) ) ) ) ) ) ) )).
fof(l57_mod_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r2_tarski(A,B) => r2_tarski(C,B) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_tarski(A,B) => r2_tarski(C,B) ) ) ) ) ) )).
fof(l57_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ! [D] : ( v7_ordinal1(D) => ( r2_modelc_1(A,B,C,k1_nat_1(D,1)) => r2_modelc_1(A,B,C,D) ) ) ) ) ) )).
fof(l57_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( r1_xxreal_0(k1_newton(C,B),k2_nat_1(2,A)) & k3_finseq_1(D) = k2_nat_1(2,A) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k6_xcmplx_0(k1_int_1(k7_xcmplx_0(k2_nat_1(2,A),k1_newton(C,E))),k3_xcmplx_0(2,k1_int_1(k7_xcmplx_0(A,k1_newton(C,E))))) ) ) ) => ( r1_xxreal_0(k1_newton(C,k1_nat_1(B,1)),k2_nat_1(2,A)) | r1_xxreal_0(k18_rvsum_1(D),B) ) ) ) ) ) ) )).
fof(l57_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(A))) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)) & v13_vectsp_1(E,k14_prvect_2(A),B) & v1_lopban_1(E,k14_prvect_2(A),B) & v2_lopban_1(E,k14_prvect_2(A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k14_prvect_2(A))) => ? [G] : ( m2_finseq_1(G,u1_struct_0(B)) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(A)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(G,H) = k17_lopban_1(k11_prvect_2(A,k10_subset_1(H,k4_finseq_1(A))),B,k5_ndiff_5(A,B,H,C,D),k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,k10_subset_1(H,k4_finseq_1(A)))),k3_ndiff_5(A,k10_subset_1(H,k4_finseq_1(A))),F)) ) ) & k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B),E,F) = k4_rlvect_1(B,G) ) ) ) ) ) ) ) )).
fof(l57_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v9_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l57_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,k2_oppcat_1(B),A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,k9_oppcat_1(B,A,C)),D)) ) ) ) ) )).
fof(l57_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m2_orders_1(B,k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) => m1_subset_1(k3_tarski(k4_orders_2(A,B)),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(l57_pnproc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( r1_tarski(B,A) => r1_xboole_0(B,k61_valued_1(C,k3_finseq_1(A))) ) ) ) ) )).
fof(l57_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) ) => ! [D] : ( r2_tarski(D,C) => r2_tarski(k1_funct_1(B,D),k7_relset_1(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A),B,C)) ) ) ) ) )).
fof(l57_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k17_ringcat1(A))) => ! [C] : ( m1_subset_1(C,u4_struct_0(k17_ringcat1(A))) => ( k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) => ( k3_graph_1(k17_ringcat1(A),k1_cat_1(k17_ringcat1(A),B,C)) = k3_graph_1(k17_ringcat1(A),B) & k4_graph_1(k17_ringcat1(A),k1_cat_1(k17_ringcat1(A),B,C)) = k4_graph_1(k17_ringcat1(A),C) ) ) ) ) ) )).
fof(l57_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => v3_pre_topc(k7_rusub_4(A,C,B),A) ) ) ) )).
fof(l57_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,B,k7_binop_2) => k1_funct_1(k3_sin_cos2,A) = k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos)),k7_xcmplx_0(1,2)),A) ) ) ) )).
fof(l57_srings_2,axiom,( k6_subset_1(k2_enumset1(1,2,3,4),k1_enumset1(2,3,4)) = k1_tarski(1) )).
fof(l57_topreal6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( D = k9_metric_1(A,B,C) => v3_pre_topc(k3_subset_1(u1_struct_0(k3_pcomps_1(A)),D),k3_pcomps_1(A)) ) ) ) ) ) )).
fof(l57_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) => k11_yellow_6(A) = k11_yellow_6(B) ) ) ) )).
fof(l57_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( k5_int_1(A,C) = k5_int_1(B,C) => k5_int_1(k6_xcmplx_0(A,B),C) = k5_numbers ) ) ) ) )).
fof(l57_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k3_xcmplx_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) = k7_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,D)) ) ) ) ) )).
fof(l57_yellow_9,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( v1_pre_topc(B) & v2_pre_topc(B) & l1_pre_topc(B) & u1_struct_0(B) = u1_struct_0(A) & v1_tops_2(u1_pre_topc(A),B) & v2_cantor_1(u1_pre_topc(A),B) & m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) ) )).
fof(l57_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_zmodul03(A) ) => v1_zmodul03(B) ) ) ) ) )).
fof(l58_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( m2_finseq_2(G,A,k4_finseq_2(B,A)) => ( ( r1_xxreal_0(C,B) & r1_xxreal_0(8,k6_xcmplx_0(B,C)) & D = k1_nat_1(C,8) & r1_xxreal_0(D,B) & r1_xxreal_0(8,k6_xcmplx_0(B,D)) & E = k1_nat_1(C,16) & r1_xxreal_0(E,B) & r1_xxreal_0(8,k6_xcmplx_0(B,E)) & F = k1_nat_1(C,24) & r1_xxreal_0(F,B) & 8 = k6_xcmplx_0(B,F) ) => m2_finseq_2(k7_finseq_4(k2_descip_1(A,8,k3_descip_1(A,C,G)),k2_descip_1(A,8,k3_descip_1(A,D,G)),k2_descip_1(A,8,k3_descip_1(A,E,G)),k3_descip_1(A,F,G)),k4_finseq_2(8,A),k4_finseq_2(4,k4_finseq_2(8,A))) ) ) ) ) ) ) ) ) )).
fof(l58_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_valued_0(A) & v1_finset_1(A) ) => v5_relat_1(A,k2_numbers) ) )).
fof(l58_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k13_afproj(A))) => ? [D] : ( m1_subset_1(D,u2_incsp_1(k13_afproj(A))) & r1_incsp_1(k13_afproj(A),B,D) & r1_incsp_1(k13_afproj(A),C,D) ) ) ) ) )).
fof(l58_asympt_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(3,A) & r1_xxreal_0(k1_square_1(A),k1_nat_1(k3_xcmplx_0(2,A),1)) ) ) )).
fof(l58_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_finset_1(A) <=> r2_tarski(A,k4_ordinal1) ) ) )).
fof(l58_compl_sp,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v6_metric_1(A) => v6_metric_1(k3_compl_sp(A,B,C)) ) & ( v8_metric_1(A) => v8_metric_1(k3_compl_sp(A,B,C)) ) & ( ( v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) ) => v9_metric_1(k3_compl_sp(A,B,C)) ) & ( ( v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) & v7_metric_1(A) ) => v7_metric_1(k3_compl_sp(A,B,C)) ) ) ) ) )).
fof(l58_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k10_csspace(A,k3_rlvect_1(A,k1_clvect_1(A,D,B),k1_clvect_1(A,E,C)),k3_rlvect_1(A,k1_clvect_1(A,D,B),k1_clvect_1(A,E,C))) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k8_complex1(B)),k10_csspace(A,D,D)),k3_xcmplx_0(k3_xcmplx_0(B,k8_complex1(C)),k10_csspace(A,D,E))),k3_xcmplx_0(k3_xcmplx_0(k8_complex1(B),C),k10_csspace(A,E,D))),k3_xcmplx_0(k3_xcmplx_0(C,k8_complex1(C)),k10_csspace(A,E,E))) ) ) ) ) ) )).
fof(l58_descip_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k5_margrel1) => r1_xxreal_0(k3_xcmplx_0(A,B),A) ) ) )).
fof(l58_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_finset_1(k8_euclid_7(A)) & k1_card_1(k8_euclid_7(A)) = A ) ) )).
fof(l58_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ! [E] : ! [F] : r1_xboole_0(k2_msafree2(k37_gfacirc1(A,B,C)),k3_msafree2(k25_gfacirc1(D,E,F))) ) ) ) )).
fof(l58_funct_9,axiom,( ! [A] : ( v7_ordinal1(A) => v1_funct_9(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(l58_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ( ( r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(B)) & k4_glib_001(A,B) = k3_glib_001(A,C) ) => r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k8_glib_001(A,k7_glib_001(A,B,C),D,E),k8_glib_001(A,B,D,E)) ) ) ) ) ) ) )).
fof(l58_jgraph_2,axiom,( v4_pre_topc(a_0_9_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_9_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(l58_jordan3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_finseq_1(D,C) => ( ( r2_tarski(A,k4_finseq_1(D)) & r2_tarski(B,k4_finseq_1(D)) ) => k7_partfun1(C,k3_finseq_6(C,D,A,B),1) = k7_partfun1(C,D,A) ) ) ) ) ) )).
fof(l58_jordan6,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( ? [D] : ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r1_topreal1(k15_euclid(2),k18_pscomp_1(A),k22_pscomp_1(A),B) & r1_topreal1(k15_euclid(2),k22_pscomp_1(A),k18_pscomp_1(A),D) & k9_subset_1(u1_struct_0(k15_euclid(2)),B,D) = k2_tarski(k18_pscomp_1(A),k22_pscomp_1(A)) & k4_subset_1(u1_struct_0(k15_euclid(2)),B,D) = A & ~ r1_xxreal_0(k18_euclid(k1_jordan5c(B,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k18_pscomp_1(A),k22_pscomp_1(A))),k18_euclid(k2_jordan5c(D,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k22_pscomp_1(A),k18_pscomp_1(A)))) ) & ? [D] : ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r1_topreal1(k15_euclid(2),k18_pscomp_1(A),k22_pscomp_1(A),C) & r1_topreal1(k15_euclid(2),k22_pscomp_1(A),k18_pscomp_1(A),D) & k9_subset_1(u1_struct_0(k15_euclid(2)),C,D) = k2_tarski(k18_pscomp_1(A),k22_pscomp_1(A)) & k4_subset_1(u1_struct_0(k15_euclid(2)),C,D) = A & ~ r1_xxreal_0(k18_euclid(k1_jordan5c(C,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k18_pscomp_1(A),k22_pscomp_1(A))),k18_euclid(k2_jordan5c(D,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)),k22_pscomp_1(A),k18_pscomp_1(A)))) ) & B != C ) ) ) ) )).
fof(l58_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_lattices(A,k2_lattices(A,B,C),C) ) ) ) )).
fof(l58_matrix13,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & v1_setfam_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ( r1_tarski(A,B) => k1_card_1(A) = k4_card_1(k8_relat_1(k5_matrix13(B),A)) ) ) )).
fof(l58_matrix_9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_finseq_1(3),k2_finseq_1(3)) & v3_funct_2(A,k2_finseq_1(3),k2_finseq_1(3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3),k2_finseq_1(3)))) ) => k1_partfun1(k2_finseq_1(3),k2_finseq_1(3),k4_ordinal1,k4_ordinal1,A,k3_finseq_4(k4_ordinal1,1,2,3)) = A ) )).
fof(l58_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ! [E] : ( v7_ordinal1(E) => ( ( r2_modelc_1(A,B,C,E) & r2_modelc_1(A,B,D,E) ) => ! [F] : ( ( v1_modelc_1(F) & m2_finseq_1(F,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(F),E) => k1_funct_1(C,F) = k1_funct_1(D,F) ) ) ) ) ) ) ) ) )).
fof(l58_mycielsk,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k9_xtuple_0(A) = k4_ordinal1 & k1_funct_1(A,k5_numbers) = k5_mycielsk(2) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_mycielsk(D,k7_nat_d(k3_xcmplx_0(3,k1_newton(2,C)),1)) => ( D = k1_funct_1(A,C) => k1_funct_1(A,k2_xcmplx_0(C,1)) = k6_mycielsk(k7_nat_d(k3_xcmplx_0(3,k1_newton(2,C)),1),D) ) ) ) & k9_xtuple_0(B) = k4_ordinal1 & k1_funct_1(B,k5_numbers) = k5_mycielsk(2) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_mycielsk(D,k7_nat_d(k3_xcmplx_0(3,k1_newton(2,C)),1)) => ( D = k1_funct_1(B,C) => k1_funct_1(B,k2_xcmplx_0(C,1)) = k6_mycielsk(k7_nat_d(k3_xcmplx_0(3,k1_newton(2,C)),1),D) ) ) ) ) => A = B ) ) ) )).
fof(l58_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( r1_xxreal_0(3,A) => ( ( ~ r1_xxreal_0(B,k2_nat_1(2,A)) => k11_nat_3(k4_newton(A,k2_nat_1(2,A)),B) = k5_numbers ) & ( r1_xxreal_0(B,k2_nat_1(2,A)) => ( r1_xxreal_0(B,A) | r1_xxreal_0(k11_nat_3(k4_newton(A,k2_nat_1(2,A)),B),1) ) ) & ( r1_xxreal_0(B,A) => ( r1_xxreal_0(B,k7_xcmplx_0(k2_nat_1(2,A),3)) | k11_nat_3(k4_newton(A,k2_nat_1(2,A)),B) = k5_numbers ) ) & ( r1_xxreal_0(B,k7_xcmplx_0(k2_nat_1(2,A),3)) => ( r1_xxreal_0(B,k3_square_1(k2_nat_1(2,A))) | r1_xxreal_0(k11_nat_3(k4_newton(A,k2_nat_1(2,A)),B),1) ) ) & ( r1_xxreal_0(B,k3_square_1(k2_nat_1(2,A))) => r1_xxreal_0(k1_newton(B,k11_nat_3(k4_newton(A,k2_nat_1(2,A)),B)),k2_nat_1(2,A)) ) ) ) ) ) )).
fof(l58_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( ( v4_normsp_3(C,A,B) & E = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D) & v2_nfcont_1(E,B) ) => v2_nfcont_1(D,A) ) ) ) ) ) ) )).
fof(l58_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( v10_o_ring_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( C = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) ) ) ) ) )).
fof(l58_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,k2_oppcat_1(B),A) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ( k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,k9_oppcat_1(B,A,C)),k3_graph_1(B,D)) = k3_graph_1(A,k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),D)) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,k9_oppcat_1(B,A,C)),k4_graph_1(B,D)) = k4_graph_1(A,k3_funct_2(u4_struct_0(B),u4_struct_0(A),k9_oppcat_1(B,A,C),D)) ) ) ) ) ) )).
fof(l58_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(B,C) = k6_xcmplx_0(C,A) ) => ! [C] : ( v1_xreal_0(C) => ( r1_fdiff_1(B,C) & k1_fdiff_1(B,C) = 1 ) ) ) ) ) )).
fof(l58_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m2_orders_1(B,k1_orders_1(u1_struct_0(A)),k6_partfun1(k1_orders_1(u1_struct_0(A)))) => ( v6_orders_2(k3_tarski(k4_orders_2(A,B)),A) & m1_subset_1(k3_tarski(k4_orders_2(A,B)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(l58_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v7_ordinal1(E) => ( ( C = k1_funct_1(k10_poset_1(A),B) & D = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,E),k3_yellow_0(A)) ) => r3_orders_2(A,D,C) ) ) ) ) ) ) )).
fof(l58_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( r1_xxreal_0(k5_numbers,A) => r1_xxreal_0(k5_numbers,k3_prepower(A,B)) ) ) ) )).
fof(l58_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k17_ringcat1(A))) => ! [C] : ( m1_subset_1(C,u4_struct_0(k17_ringcat1(A))) => ! [D] : ( m1_subset_1(D,u4_struct_0(k17_ringcat1(A))) => ( ( k3_graph_1(k17_ringcat1(A),D) = k4_graph_1(k17_ringcat1(A),C) & k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) ) => k1_cat_1(k17_ringcat1(A),k1_cat_1(k17_ringcat1(A),B,C),D) = k1_cat_1(k17_ringcat1(A),B,k1_cat_1(k17_ringcat1(A),C,D)) ) ) ) ) ) )).
fof(l58_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => v4_pre_topc(k5_rusub_4(A,B,C),A) ) ) ) )).
fof(l58_series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k4_real_1(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1)))) ) ) ) )).
fof(l58_sin_cos2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,A,k7_binop_2) => r2_relset_1(k1_numbers,k1_numbers,k3_sin_cos2,k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,k22_sin_cos)),k7_xcmplx_0(1,2))) ) ) )).
fof(l58_srings_2,axiom,( k6_subset_1(k2_enumset1(1,2,3,4),k1_tarski(1)) = k1_enumset1(2,3,4) )).
fof(l58_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ r2_tarski(k3_termord(A,B,C,D),k3_polynom1(k15_pre_poly(A),C,k6_termord(A,B,C,D))) ) ) ) ) )).
fof(l58_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( r1_vectsp_5(A,B,C,D) => r1_vectsp_5(A,B,D,C) ) ) ) ) ) )).
fof(l58_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) ) ) ) )).
fof(l58_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r2_tarski(k3_yellow_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_waybel_3(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r3_orders_2(A,C,E) & r1_waybel_3(A,E,D) ) ) ) ) ) ) => ( r1_tarski(u1_struct_0(k1_waybel_8(A)),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r3_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & ~ r3_orders_2(A,E,C) & r3_orders_2(A,E,D) ) ) ) ) ) ) ) ) ) )).
fof(l58_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( k5_int_1(A,B) = k5_numbers => ( B = k5_numbers | r1_int_1(B,A) ) ) ) ) )).
fof(l58_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(A,B) & r2_xboole_0(B,C) ) => r2_xboole_0(A,C) ) )).
fof(l58_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k5_xcmplx_0(k7_xcmplx_0(A,B)) = k7_xcmplx_0(B,A) ) ) )).
fof(l59_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_valued_0(A) & v1_finset_1(A) ) => v5_relat_1(A,k1_numbers) ) )).
fof(l59_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(k13_afproj(A))) => ~ ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) & ! [D] : ( m1_subset_1(D,u1_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),D,B) & r1_incsp_1(k13_afproj(A),D,C) ) ) ) ) ) ) )).
fof(l59_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(10,A) & r1_xxreal_0(k2_power(2,k6_xcmplx_0(A,1)),k1_square_1(k2_nat_1(2,A))) ) ) )).
fof(l59_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_tarski(B)))) => ~ ( ! [D] : ( r2_tarski(D,C) => v1_finset_1(k1_xfamily(D)) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(k2_xboole_0(D,E),A) => ! [F] : ! [G] : ( ( r2_hidden(k4_tarski(D,F),C) & r2_hidden(k4_tarski(E,G),C) ) => r2_tarski(k2_tarski(F,G),B) ) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(k2_xboole_0(D,E),A) => ! [F] : ( ( r2_hidden(k4_tarski(D,F),C) & r2_hidden(k4_tarski(E,F),C) ) => D = E ) ) ) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & v9_cohsp_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( C = k8_cohsp_1(A,B,D) & ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,B,D,E) = k7_relat_1(C,k3_cohsp_1(A,E)) ) ) ) ) ) ) ) )).
fof(l59_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(A,B) = k2_xcmplx_0(k7_xcmplx_0(k3_real_1(k4_real_1(k3_complex1(A),k3_complex1(B)),k4_real_1(k4_complex1(A),k4_complex1(B))),k2_xcmplx_0(k1_square_1(k3_complex1(B)),k1_square_1(k4_complex1(B)))),k3_xcmplx_0(k7_xcmplx_0(k5_real_1(k4_real_1(k3_complex1(B),k4_complex1(A)),k4_real_1(k3_complex1(A),k4_complex1(B))),k2_xcmplx_0(k1_square_1(k3_complex1(B)),k1_square_1(k4_complex1(B)))),k7_complex1)) ) ) )).
fof(l59_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) => k12_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k3_xcmplx_0(k1_euclid10(A,B,C),k17_sin_cos(k4_euclid_3(A,C,B))) ) ) ) ) )).
fof(l59_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(C,A) => r1_tarski(k8_funct_7(C,B),k8_funct_7(A,B)) ) ) ) ) )).
fof(l59_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ! [E] : ( ( r2_hidden(k4_tarski(C,D),k9_xtuple_0(A)) & B = k1_funct_1(k1_funct_5(A),C) & r2_hidden(E,k9_xtuple_0(B)) ) => r2_hidden(k4_tarski(C,E),k9_xtuple_0(A)) ) ) ) )).
fof(l59_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => k3_finseq_1(k8_glib_001(A,B,1,C)) = C ) ) ) ) )).
fof(l59_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( ( v2_funct_1(B) & v1_msscyc_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_graph_2(A,C,B) & r2_tarski(D,k10_xtuple_0(C)) ) => v1_abian(k7_graph_3(A,D,k10_xtuple_0(B))) ) ) ) ) ) )).
fof(l59_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),A)) ) ) )).
fof(l59_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r1_lattices(A,C,k1_lattices(A,B,C)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_lattices(A,B,D) & r1_lattices(A,C,D) ) ) ) ) ) ) )).
fof(l59_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k2_finseq_1(A)) & r2_tarski(C,k2_finseq_1(A)) & ~ r1_xxreal_0(C,B) & ! [D] : ( v1_finset_1(D) => ! [E] : ( v1_finset_1(E) => ~ ( E = a_1_0_matrix11(A) & D = a_1_1_matrix11(A) & k3_xboole_0(E,D) = k1_xboole_0 & k2_xboole_0(E,D) = k9_matrix_1(A) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,D))) & ? [G] : ( m1_matrix_1(G,k9_matrix_1(A)) & v5_matrix_1(G,k8_matrix_1(k9_matrix_1(A))) & k1_funct_1(G,B) = C & k9_xtuple_0(F) = E & v3_funct_2(F,E,D) & ! [H] : ( m1_matrix_1(H,k9_matrix_1(A)) => ( r2_tarski(H,E) => k1_funct_1(F,H) = k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l59_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( v1_xreal_0(E) => k9_subset_1(A,C,k14_mesfunc1(A,D,E)) = k14_mesfunc1(A,k2_partfun1(A,k6_numbers,D,C),E) ) ) ) ) ) )).
fof(l59_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & r2_modelc_1(A,B,D,C) ) ) ) ) )).
fof(l59_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,k6_poset_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) ) => ! [C] : ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v1_xboole_0(E) & v6_orders_2(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( E = a_3_1_poset_1(A,B,D) & r2_tarski(C,k7_relset_1(u1_struct_0(A),u1_struct_0(A),F,E)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(G,A,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( r2_tarski(G,B) & C = k3_funct_2(u1_struct_0(A),u1_struct_0(A),F,k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),G,D),k3_yellow_0(A))) ) ) ) ) ) ) ) ) )).
fof(l59_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k17_ringcat1(A))) => ! [C] : ( m2_ringcat1(C,k9_ringcat1(A)) => ( B = C => ! [D] : ( m1_cat_1(D,k17_ringcat1(A),B,B) => ( D = k13_ringcat1(k9_ringcat1(A),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(k17_ringcat1(A))) => ( ( k2_cat_1(k17_ringcat1(A),B,E) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k17_ringcat1(A),B,E) => k1_cat_1(k17_ringcat1(A),D,F) = F ) ) & ( k2_cat_1(k17_ringcat1(A),E,B) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k17_ringcat1(A),E,B) => k1_cat_1(k17_ringcat1(A),F,D) = F ) ) ) ) ) ) ) ) ) ) )).
fof(l59_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)) = B ) ) )).
fof(l59_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k10_xtuple_0(A)) => r1_tarski(k3_topreal1(2,k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,A)) ) ) ) )).
fof(l59_srings_2,axiom,( k6_subset_1(k2_enumset1(1,2,3,4),k1_tarski(2)) = k1_enumset1(1,3,4) )).
fof(l59_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_tarski(E,k3_polynom1(k15_pre_poly(A),C,D)) => ( E = k3_termord(A,B,C,D) | r2_tarski(E,k3_polynom1(k15_pre_poly(A),C,k6_termord(A,B,C,D))) ) ) ) ) ) ) ) )).
fof(l59_trees_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),A) => ( r2_tarski(k1_nat_1(A,1),k1_relset_1(k4_ordinal1,B)) & r2_tarski(k1_funct_1(B,k1_nat_1(A,1)),k10_xtuple_0(B)) ) ) ) ) )).
fof(l59_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( D = E & r2_lattice3(A,C,D) ) => r2_lattice3(B,C,E) ) ) ) ) ) ) )).
fof(l59_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r3_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & ~ r3_orders_2(A,E,C) & r3_orders_2(A,E,D) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r3_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & ~ r3_orders_2(A,E,C) & r1_waybel_3(A,E,D) ) ) ) ) ) ) ) ) )).
fof(l59_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v5_orders_3(k11_waybel_4(A,B),A,k1_yellow_1(k7_waybel_0(A))) ) ) )).
fof(l59_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ( ( ~ r1_xxreal_0(A,1) => ( ~ r1_xxreal_0(k3_square_1(A),1) & ~ r1_xxreal_0(A,k3_square_1(A)) ) ) & ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ~ ( ~ r1_xxreal_0(k3_square_1(A),k5_numbers) & ~ r1_xxreal_0(1,k3_square_1(A)) & ~ r1_xxreal_0(k3_square_1(A),A) ) ) ) ) )).
fof(l59_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(A,k7_xcmplx_0(B,C)) = k7_xcmplx_0(k3_xcmplx_0(A,B),C) ) ) ) )).
fof(l59_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_zmodul03(D,A) ) => m1_zmodul03(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) )).
fof(l5_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_diraf(A,B,C,D,D) => B = C ) ) ) ) ) )).
fof(l5_algstr_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) => k8_group_1(k2_vectsp_1,A,k4_struct_0(k2_vectsp_1)) = k4_struct_0(k2_vectsp_1) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) => k8_group_1(k2_vectsp_1,k4_struct_0(k2_vectsp_1),A) = k4_struct_0(k2_vectsp_1) ) )).
fof(l5_altcat_5,axiom,( k1_funct_2(k1_xboole_0,k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(l5_altcat_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => A = B ) ) )).
fof(l5_ami_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ami_4,A) => ( k3_compos_1(k1_ami_3,A,k5_numbers) = k2_ami_3(k10_ami_3(2),k10_ami_3(1)) & k3_compos_1(k1_ami_3,A,1) = k6_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1)) & k3_compos_1(k1_ami_3,A,2) = k2_ami_3(k10_ami_3(k5_numbers),k10_ami_3(2)) & k3_compos_1(k1_ami_3,A,3) = k9_ami_3(k5_numbers,k10_ami_3(1)) & r1_compos_1(k1_ami_3,A,4) ) ) ) )).
fof(l5_ami_5,axiom,( ! [A] : ( m1_subset_1(A,k8_struct_0(k1_ami_3)) => ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) ) )).
fof(l5_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analmetr(A,C,D) => B = k3_rlvect_1(A,k1_rlvect_1(A,C,k2_geomtrap(A,C,D,B)),k1_rlvect_1(A,D,k3_geomtrap(A,C,D,B))) ) ) ) ) ) )).
fof(l5_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,C),D),k3_rlvect_1(A,k3_rlvect_1(A,E,F),G)) = k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,F)),k3_rlvect_1(A,D,G)) ) ) ) ) ) ) ) )).
fof(l5_axioms,axiom,( m1_subset_1(k5_numbers,k2_arytm_2) )).
fof(l5_bhsp_1,axiom,( k1_funct_1(c2__bhsp_1,k1_domain_1(u1_struct_0(o_0_5_bhsp_1),u1_struct_0(o_0_5_bhsp_1),k4_struct_0(o_0_5_bhsp_1),k4_struct_0(o_0_5_bhsp_1))) = k5_numbers )).
fof(l5_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(A,k7_xcmplx_0(1,2)) & r1_xxreal_0(k5_numbers,A) ) => r2_hidden(A,u1_struct_0(k17_borsuk_1)) ) ) )).
fof(l5_brouwer2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ~ ( r2_tarski(B,D) & B != C & v9_rltopsp1(k9_subset_1(u1_struct_0(k15_euclid(A)),D,k4_topreal9(k15_euclid(A),B,C)),k15_euclid(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) => ~ ( r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(A)),k2_tops_1(k15_euclid(A),D),k4_topreal9(k15_euclid(A),B,C))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(A))) => ( ( G = B & r2_tarski(F,k9_subset_1(u1_struct_0(k15_euclid(A)),D,k4_topreal9(k15_euclid(A),B,C))) ) => r1_xxreal_0(k3_metric_1(k14_euclid(A),G,F),k3_metric_1(k14_euclid(A),G,E)) ) ) ) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(A))) => ~ ( r2_tarski(G,k9_subset_1(u1_struct_0(k15_euclid(A)),D,k4_topreal9(k15_euclid(A),B,C))) & ~ r1_xxreal_0(F,k3_metric_1(k14_euclid(A),E,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l5_calcul_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ? [C] : ( m1_subset_1(C,k4_ordinal1) & r2_tarski(C,k1_relset_1(k4_ordinal1,A)) & k1_funct_1(A,C) = B ) => r1_calcul_1(A,B) ) ) )).
fof(l5_card_2,axiom,( ! [A] : ! [B] : ( r2_wellord2(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & k1_card_1(k2_zfmisc_1(A,B)) = k1_card_1(k2_zfmisc_1(B,A)) ) )).
fof(l5_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => k5_relset_1(B,k1_tarski(A),k7_funcop_1(B,A),C) = k7_funcop_1(C,A) ) ) ) ) )).
fof(l5_catalg_1,axiom,( ! [A] : ! [B] : ( k9_finseq_1(A) = k9_finseq_1(B) => A = B ) )).
fof(l5_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_relset_1(k4_ordinal1,k2_numbers,B,k25_valued_1(k4_ordinal1,k2_numbers,A,k7_complex1)) => ( v9_ordinal1(A) <=> v9_ordinal1(B) ) ) ) ) )).
fof(l5_closure3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k13_pre_poly(B) = a_2_0_closure3(A,B) ) ) )).
fof(l5_collsp,axiom,( r1_tarski(k1_tarski(k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,1,1)),k3_zfmisc_1(k6_domain_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,1))) )).
fof(l5_comptrig,axiom,( r2_hidden(k28_sin_cos,k2_rcomp_1(k5_numbers,4)) )).
fof(l5_comseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => k8_nat_1(k1_numbers,k1_seq_1(k5_numbers),A) = k5_numbers ) )).
fof(l5_convex3,axiom,( m1_subset_1(k7_xcmplx_0(1,2),k1_numbers) & m1_subset_1(k7_xcmplx_0(1,3),k1_numbers) )).
fof(l5_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v2_cqc_the1(k8_cqc_lang(A,k7_cqc_lang(A,B,C),B),A) & v2_cqc_the1(k8_cqc_lang(A,k7_cqc_lang(A,B,C),C),A) ) ) ) ) )).
fof(l5_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_comseq_3(A) => k11_comseq_3(k2_comseq_2(k4_ordinal1,A)) = k8_complex1(k11_comseq_3(A)) ) ) )).
fof(l5_csspace4,axiom,( v1_xreal_0(1) )).
fof(l5_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => k3_xcmplx_0(2,k1_square_1(k1_funct_1(k16_sin_cos,k7_xcmplx_0(A,2)))) = k6_xcmplx_0(1,k1_funct_1(k18_sin_cos,A)) ) )).
fof(l5_fdiff_8,axiom,( k3_limfunc1(k5_numbers) = a_0_0_fdiff_8 )).
fof(l5_fib_fusc,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( A = k2_nat_1(2,B) => ( r1_xxreal_0(B,k5_numbers) | k2_xcmplx_0(6,k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,B)),1)),1)) = k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,A)),1)),1) ) ) ) ) )).
fof(l5_fib_num,axiom,( k1_pre_ff(2) = 1 )).
fof(l5_finseq_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k7_nat_d(k7_nat_d(B,A),1) = k7_nat_d(k7_nat_d(B,1),A) ) ) )).
fof(l5_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( k3_finseq_1(B) = k5_numbers & v1_setwiseo(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) ) => k1_finsop_1(A,B,C) = k7_setwiseo(k4_ordinal1,A,C,k3_finsop_1(B),k2_finsop_1(A,k8_funcop_1(A,k4_ordinal1,k3_binop_1(A,C)),B)) ) ) ) ) )).
fof(l5_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m3_fomodel2(C,A,B) => r1_tarski(k37_fomodel1(A),k9_xtuple_0(C)) ) ) ) )).
fof(l5_frechet,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> v4_pre_topc(k7_subset_1(u1_struct_0(A),k2_struct_0(A),B),A) ) ) ) )).
fof(l5_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k12_gfacirc1(A,B,C) != k4_tarski(D,k3_facirc_1) )).
fof(l5_funcsdom,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l5_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( A != k5_numbers => v1_funct_9(k7_funcop_1(k1_numbers,B),A) ) ) ) )).
fof(l5_gaussint,axiom,( r2_tarski(k7_complex1,k1_gaussint) )).
fof(l5_goboard6,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( B = k8_metric_1(A,D,C) => v3_pre_topc(B,k3_pcomps_1(A)) ) ) ) ) ) )).
fof(l5_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v2_funct_1(B) & m2_graph_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & C != D & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(l5_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ r6_polyred(A,B,C,D,k8_polynom1(A,C)) ) ) ) ) )).
fof(l5_group_17,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ( v1_int_7(A) & v1_int_7(B) & r8_pboole(k8_newton,C,k11_pre_poly(k8_newton,A,B)) & r1_xboole_0(k22_pre_poly(k8_newton,A),k22_pre_poly(k8_newton,B)) ) => v1_int_7(C) ) ) ) ) )).
fof(l5_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => m2_subset_1(k6_domain_1(k7_normform(A),B),k5_finsub_1(k7_normform(A)),k8_normform(A)) ) )).
fof(l5_hurwitz,axiom,( k4_complex1(k1_group_1(k1_complfld)) = k5_numbers & k4_complex1(k4_algstr_0(k1_complfld,k1_group_1(k1_complfld))) = k5_numbers & k4_complex1(k4_struct_0(k1_complfld)) = k5_numbers )).
fof(l5_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(A,B) & r1_int_1(B,C) ) => r1_int_1(A,C) ) ) ) ) )).
fof(l5_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_numbers)) => ! [C] : ( v1_int_1(C) => ( r2_hidden(A,k1_integra2(B,C)) <=> ? [D] : ( v1_int_1(D) & r2_hidden(D,B) & A = k3_xcmplx_0(C,D) ) ) ) ) ) )).
fof(l5_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k3_finseq_1(k1_valued_1(A,B)) = k3_finseq_1(A) ) ) ) )).
fof(l5_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m1_integr15(D,A,B,C) => ! [E] : ( v7_ordinal1(E) => ( ( v1_seq_2(k2_partfun1(A,k1_numbers,B,A)) & r2_tarski(E,k4_finseq_1(C)) ) => r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(k4_integra1(A,B,C),E)) ) ) ) ) ) ) )).
fof(l5_integr1c,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_numbers)) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,C)) & r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,D)) & r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,E)) & r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,F)) & r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(A,B)),k2_partfun1(k1_numbers,k1_numbers,E,k1_rcomp_1(A,B))) & r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,D,k1_rcomp_1(A,B)),k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(A,B))) & v3_rcomp_1(G) & r1_tarski(k1_rcomp_1(A,B),G) & r2_fdiff_1(C,G) & r2_fdiff_1(D,G) & r1_tarski(k2_relset_1(k2_numbers,k2_partfun1(k1_numbers,k2_numbers,k2_valued_1(k1_numbers,k1_numbers,k2_numbers,C,k25_valued_1(k1_numbers,k1_numbers,D,k7_complex1)),k1_rcomp_1(A,B))),k1_relset_1(k2_numbers,H)) & r2_fdiff_1(E,G) & r2_fdiff_1(F,G) & r1_tarski(k2_relset_1(k2_numbers,k2_partfun1(k1_numbers,k2_numbers,k2_valued_1(k1_numbers,k1_numbers,k2_numbers,E,k25_valued_1(k1_numbers,k1_numbers,F,k7_complex1)),k1_rcomp_1(A,B))),k1_relset_1(k2_numbers,H)) ) => k2_integr1c(A,B,C,D,G,H) = k2_integr1c(A,B,E,F,G,H) ) ) ) ) ) ) ) ) ) )).
fof(l5_jordan19,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(A)) ) => r2_hidden(k4_tarski(k1_jordan1a(A),B),k2_matrix_0(A)) ) ) ) )).
fof(l5_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_tarski(A,k2_xboole_0(k2_xboole_0(k2_xboole_0(B,C),D),E)) <=> ~ ( ~ r2_tarski(A,B) & ~ r2_tarski(A,C) & ~ r2_tarski(A,D) & ~ r2_tarski(A,E) ) ) )).
fof(l5_jordan5a,axiom,( ! [A] : ( v7_ordinal1(A) => v1_borsuk_2(k15_euclid(A)) ) )).
fof(l5_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)))) => ! [D] : ( B = C => ( ( v1_yellow_8(D,A,B) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) <=> ( v1_yellow_8(D,g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),C) & v1_tops_2(D,g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)))))) ) ) ) ) ) ) )).
fof(l5_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => v4_lattice3(A) ) )).
fof(l5_lattices,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(g2_lattices(k1_zfmisc_1(k1_xboole_0),A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g2_lattices(k1_zfmisc_1(k1_xboole_0),A))) => B = C ) ) ) )).
fof(l5_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,C,D),k8_cqc_lang(A,B,D)),E),k8_cqc_lang(A,k8_cqc_lang(A,B,C),E)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l5_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(A,k2_finseq_1(B)) & ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ~ ( k12_matrix_3(B,k2_vectsp_1,C) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) & k3_matrix_0(u1_struct_0(k2_vectsp_1),C,A,A) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => ( ( D = E => ( D = A | k3_matrix_0(u1_struct_0(k2_vectsp_1),C,D,D) = k5_struct_0(k2_vectsp_1) ) ) & ( D != E => k3_matrix_0(u1_struct_0(k2_vectsp_1),C,D,E) = k4_struct_0(k2_vectsp_1) ) ) ) ) ) ) ) ) ) ) )).
fof(l5_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( r2_tarski(D,A) => k1_funct_1(k1_mboolean(A,k4_pboole(A,B,C)),D) = k1_zfmisc_1(k4_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))) ) ) ) )).
fof(l5_metric_1,axiom,( ! [A] : ( m1_subset_1(A,1) => ! [B] : ( m1_subset_1(B,1) => k1_binop_1(k9_funct_5,A,B) = k1_binop_1(k9_funct_5,B,A) ) ) )).
fof(l5_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_mod_4(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_mod_4(A))) => ( ( B = D & C = E ) => ( k1_algstr_0(A,B,C) = k1_algstr_0(k2_mod_4(A),D,E) & k6_algstr_0(A,B,C) = k6_algstr_0(k2_mod_4(A),E,D) & k4_algstr_0(A,B) = k4_algstr_0(k2_mod_4(A),D) ) ) ) ) ) ) ) )).
fof(l5_modelc_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,k6_xcmplx_0(B,1)) => r1_xxreal_0(k1_int_1(A),k6_xcmplx_0(k1_int_1(B),1)) ) ) ) )).
fof(l5_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( A != 1 & ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ r1_nat_d(B,A) ) ) ) )).
fof(l5_normsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_rlsub_1(o_0_5_normsp_1))) => ! [B] : ( v1_xreal_0(B) => k3_funct_2(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k1_numbers,c2__normsp_1,k1_rlvect_1(k1_rlsub_1(o_0_5_normsp_1),A,B)) = k3_xcmplx_0(k9_complex1(B),k3_funct_2(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k1_numbers,c2__normsp_1,A)) ) ) )).
fof(l5_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v4_metric_1(u1_metric_1(g1_metric_1(u1_struct_0(A),k1_normsp_2(A))),u1_struct_0(g1_metric_1(u1_struct_0(A),k1_normsp_2(A)))) ) )).
fof(l5_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( k8_nat_1(k4_ordinal1,C,k5_numbers) = k1_int_2(A) & k8_nat_1(k4_ordinal1,D,k5_numbers) = k1_int_2(B) & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_ordinal1,C,k1_nat_1(E,1)) = k8_nat_1(k4_ordinal1,D,E) & k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1)) = k4_nat_d(k8_nat_1(k4_ordinal1,C,E),k8_nat_1(k4_ordinal1,D,E)) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_ordinal1,D,E) != k5_numbers => k6_nat_d(k8_nat_1(k4_ordinal1,C,E),k8_nat_1(k4_ordinal1,D,E)) = k6_nat_d(k8_nat_1(k4_ordinal1,C,k1_nat_1(E,1)),k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1))) ) ) ) ) ) ) ) )).
fof(l5_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( r1_xxreal_0(A,k3_finseq_1(D)) => ( A = k5_numbers | k7_partfun1(u1_struct_0(B),k8_finseq_1(u1_struct_0(B),C,D),k2_xcmplx_0(k3_finseq_1(C),A)) = k7_partfun1(u1_struct_0(B),D,A) ) ) ) ) ) ) )).
fof(l5_orders_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ r2_tarski(k1_xboole_0,A) => ! [B] : ( m2_orders_1(B,A,k6_partfun1(A)) => ( v1_funct_1(B) & v1_funct_2(B,A,k3_tarski(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k3_tarski(A)))) ) ) ) ) )).
fof(l5_orders_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(A,C) => m1_subset_1(A,u1_struct_0(B)) ) ) ) )).
fof(l5_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1))) & ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1)) & ? [D] : ( m1_subset_1(D,c1__ortsp_1) & ? [E] : ( m1_subset_1(E,c1__ortsp_1) & C = k1_domain_1(c1__ortsp_1,c1__ortsp_1,D,E) & E = c2__ortsp_1 ) ) ) ) ) ) )).
fof(l5_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k5_algstr_0(A,k8_group_1(A,B,C),k8_group_1(A,D,E)) = k4_struct_0(A) => k5_algstr_0(A,k8_group_1(A,E,D),k8_group_1(A,C,B)) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(l5_pdiff_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => k2_rfinseq(k1_numbers,A,k5_euclid(B)) = k5_euclid(k7_nat_d(B,A)) ) ) ) )).
fof(l5_polyeq_2,axiom,( ~ v1_abian(3) )).
fof(l5_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(C,A,B) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) & k4_polynom1(A,B,C,D) != k4_struct_0(B) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r1_pre_poly(A,D,E) => k4_polynom1(A,B,C,E) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(l5_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) ) => ( v2_rlvect_1(A) & v3_rlvect_1(A) ) ) ) )).
fof(l5_qmax_1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k12_prob_1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k12_prob_1,k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_tarski(B,k12_prob_1) => ( ( r2_tarski(k5_numbers,B) => k1_funct_1(A,B) = 1 ) & ( ~ r2_tarski(k5_numbers,B) => k1_funct_1(A,B) = k5_numbers ) ) ) ) ) )).
fof(l5_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => k4_radix_1(D,C,k2_xcmplx_0(A,1),k10_radix_1(C,k2_xcmplx_0(A,1),B)) = k4_radix_1(D,C,A,k10_radix_1(C,A,k4_nat_d(B,k1_newton(k1_radix_1(C),A)))) ) ) ) ) ) )).
fof(l5_ramsey_1,axiom,( ! [A] : k3_group_10(A,k5_numbers) = k1_tarski(k5_numbers) )).
fof(l5_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [E] : ( ( v1_prob_2(E) & m2_finseq_1(E,B) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ! [G] : ( m2_finseq_1(G,k6_numbers) => ( ( r2_mesfunc6(A,B,C) & v6_supinf_2(C) & k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,E)) & k4_finseq_1(E) = k4_finseq_1(F) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(E)) => ! [I] : ( r2_hidden(I,k1_funct_1(E,H)) => k1_funct_1(C,I) = k12_supinf_2(F,H) ) ) ) & k4_finseq_1(G) = k4_finseq_1(E) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k12_supinf_2(G,H) = k4_xxreal_3(k12_supinf_2(F,H),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,D),H)) ) ) ) => ( k1_relset_1(A,C) = k1_xboole_0 | k1_mesfunc6(A,B,D,C) = k4_extreal1(G) ) ) ) ) ) ) ) ) ) )).
fof(l5_rat_1,axiom,( ! [A] : ~ ( r2_hidden(A,k3_numbers) & ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => A != k7_xcmplx_0(B,C) ) ) ) )).
fof(l5_real_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_real_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_real_lat)) => k1_lattices(k3_real_lat,k2_lattices(k3_real_lat,A,B),B) = B ) ) )).
fof(l5_realset2,axiom,( k10_subset_1(k5_numbers,2) = k5_numbers )).
fof(l5_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ( ( k3_finseq_1(B) = k4_card_1(A) & v1_rearran1(B) ) => ! [C] : ( v1_finset_1(C) => ( C = k1_funct_1(B,k3_finseq_1(B)) => C = A ) ) ) ) ) )).
fof(l5_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k3_finseq_1(A),B) => r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) ) ) ) )).
fof(l5_rfinseq,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( k4_card_1(k9_xtuple_0(k5_relat_1(B,A))) = k5_numbers & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ r2_classes1(k5_relat_1(B,A),C) ) ) ) ) )).
fof(l5_ring_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & v1_ring_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [C] : ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,E) & r2_hidden(C,k8_nat_1(A,B,D)) ) => r2_hidden(C,k8_nat_1(A,B,E)) ) ) ) ) ) )).
fof(l5_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r2_tarski(k1_algstr_0(A,C,D),k5_rusub_4(A,B,C)) ) ) ) ) ) )).
fof(l5_rsspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(B) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,D),A) ) ) | r1_xxreal_0(k1_seq_2(B),A) ) ) ) ) )).
fof(l5_rsspace4,axiom,( v2_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v3_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v4_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v13_algstr_0(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v5_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v6_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v7_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) & v8_rlvect_1(g1_rlvect_1(k1_rsspace4,k7_rsspace(k4_rsspace,k1_rsspace4),k5_rsspace(k4_rsspace,k1_rsspace4),k6_rsspace(k4_rsspace,k1_rsspace4))) )).
fof(l5_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( r1_struct_0(k1_rusub_1(A),B) <=> B = k4_struct_0(A) ) ) )).
fof(l5_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => m2_finseq_1(A,k2_numbers) ) )).
fof(l5_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k1_nat_1(B,1)) = k2_extpro_1(k5_card_1(2),k1_ami_3,k3_extpro_1(k5_card_1(2),k1_ami_3,A,k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,B)),k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,B)) ) ) ) )).
fof(l5_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) ) => k1_ordinal4(k1_ordinal4(k1_ordinal4(A,B),C),D) = k1_ordinal4(A,k1_ordinal4(k1_ordinal4(B,C),D)) ) ) ) ) )).
fof(l5_scmfsa_x,axiom,( r2_tarski(k5_numbers,k2_afinsq_1(k4_compos_1(k1_scmfsa_2))) )).
fof(l5_scmpds_9,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => m1_subset_1(k6_xcmplx_0(A,2),k4_ordinal1) ) ) )).
fof(l5_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,B)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,A,B)) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,A,B)) ) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,B)) ) ) ) ) & ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,B)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,B)) ) ) ) ) )).
fof(l5_series_2,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(k2_xcmplx_0(A,1),3) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k3_xcmplx_0(3,k1_newton(A,2))),k3_xcmplx_0(3,A)),1) ) )).
fof(l5_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(k4_xcmplx_0(A),3) = k4_xcmplx_0(k1_newton(A,3)) ) )).
fof(l5_series_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_newton(k6_xcmplx_0(A,B),2) = k2_xcmplx_0(k6_xcmplx_0(k1_newton(A,2),k3_xcmplx_0(k3_xcmplx_0(2,A),B)),k1_newton(B,2)) ) ) )).
fof(l5_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(B,C),k1_square_1(k2_xcmplx_0(A,D))),k3_xcmplx_0(k2_xcmplx_0(k1_square_1(k3_square_1(k3_xcmplx_0(A,B))),k1_square_1(k3_square_1(k3_xcmplx_0(C,D)))),k2_xcmplx_0(k1_square_1(k3_square_1(k3_xcmplx_0(A,C))),k1_square_1(k3_square_1(k3_xcmplx_0(B,D)))))) ) ) ) ) )).
fof(l5_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_partfun1(k2_numbers,k3_sin_cos3,A) = k7_xcmplx_0(k6_xcmplx_0(k15_sin_cos(A),k15_sin_cos(k4_xcmplx_0(A))),2) ) )).
fof(l5_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( A != k5_numbers => ( k2_sin_cos2(A) != k5_numbers & k6_sin_cos2(A) != k5_numbers ) ) ) )).
fof(l5_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) => k1_fdiff_1(k26_sin_cos,A) = k7_xcmplx_0(1,k1_square_1(k1_funct_1(k18_sin_cos,A))) ) ) )).
fof(l5_sincos10,axiom,( r1_tarski(k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers),k2_rcomp_1(k4_xcmplx_0(k28_sin_cos),k5_numbers)) )).
fof(l5_srings_1,axiom,( ! [A] : ( ! [B] : ( m2_subset_1(B,k1_zfmisc_1(A),k1_tex_1(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),k1_tex_1(A)) => ~ ( ~ v1_xboole_0(k9_subset_1(A,B,C)) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_tex_1(A))) ) => ~ m1_eqrel_1(D,k9_subset_1(A,B,C)) ) ) ) ) & ! [B] : ( m2_subset_1(B,k1_zfmisc_1(A),k1_tex_1(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),k1_tex_1(A)) => ~ ( r1_tarski(C,B) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_tex_1(A))) ) => ~ m1_eqrel_1(D,k7_subset_1(A,B,C)) ) ) ) ) & ! [B] : ( m2_subset_1(B,k1_zfmisc_1(A),k1_tex_1(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),k1_tex_1(A)) => ~ ( ~ v1_xboole_0(k7_subset_1(A,B,C)) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_tex_1(A))) ) => ~ m1_eqrel_1(D,k7_subset_1(A,B,C)) ) ) ) ) & v4_card_3(k1_tarski(A)) & m1_subset_1(k1_tarski(A),k1_zfmisc_1(k1_tex_1(A))) & k3_tarski(k1_tarski(A)) = A ) )).
fof(l5_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( k6_subset_1(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) = k2_xboole_0(k2_zfmisc_1(k6_subset_1(A,C),B),k2_zfmisc_1(k3_xboole_0(A,C),k6_subset_1(B,D))) & r1_xboole_0(k2_zfmisc_1(k6_subset_1(A,C),B),k2_zfmisc_1(k3_xboole_0(A,C),k6_subset_1(B,D))) ) )).
fof(l5_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)))) => ( v2_rlvect_1(g1_symsp_1(A,k1_tarski(k5_numbers),c3__symsp_1,c2__symsp_1,B,C)) & v3_rlvect_1(g1_symsp_1(A,k1_tarski(k5_numbers),c3__symsp_1,c2__symsp_1,B,C)) & v4_rlvect_1(g1_symsp_1(A,k1_tarski(k5_numbers),c3__symsp_1,c2__symsp_1,B,C)) & v13_algstr_0(g1_symsp_1(A,k1_tarski(k5_numbers),c3__symsp_1,c2__symsp_1,B,C)) ) ) ) ) )).
fof(l5_taylor_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => k6_prepower(k23_sin_cos(B),A) = k23_sin_cos(k3_xcmplx_0(A,B)) ) ) )).
fof(l5_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) <=> ( k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( r2_tarski(C,k4_ordinal1) => m1_subset_1(k1_funct_1(B,C),u1_struct_0(A)) ) ) ) ) ) )).
fof(l5_topalg_2,axiom,( u1_struct_0(k2_borsuk_1(k3_topmetr,k5_topmetr)) = k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k5_topmetr)) )).
fof(l5_topalg_5,axiom,( u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)) = k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) )).
fof(l5_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( v1_card_1(k3_tarski(a_1_0_topgen_2(A))) & ! [B] : ( v1_card_1(B) => ( B = k3_tarski(a_1_0_topgen_2(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_ordinal1(k1_topgen_2(A,C),B) ) & ! [C] : ( v1_card_1(C) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_ordinal1(k1_topgen_2(A,D),C) ) => r1_ordinal1(B,C) ) ) ) ) ) ) ) )).
fof(l5_topgen_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & ! [C] : ( v1_rat_1(C) => ~ r2_hidden(C,k3_rcomp_1(A,B)) ) ) ) ) )).
fof(l5_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( r2_tarski(B,k1_rltopsp1(k15_euclid(A),C,D)) => r1_tarski(k1_rltopsp1(k15_euclid(A),C,B),k1_rltopsp1(k15_euclid(A),C,D)) ) ) ) ) ) )).
fof(l5_topreal2,axiom,( k18_euclid(k19_euclid(k5_numbers,k5_numbers)) = k5_numbers )).
fof(l5_toprealb,axiom,( r1_xxreal_0(k6_xcmplx_0(1,k5_numbers),1) )).
fof(l5_trees_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),A) => ( r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) & r2_tarski(k1_funct_1(B,k1_nat_1(A,1)),k10_xtuple_0(B)) ) ) ) ) )).
fof(l5_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( B = k5_algstr_0(A,D,C) => k3_rlvect_1(A,B,C) = D ) ) ) ) ) )).
fof(l5_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)) = k5_waybel_0(A,B) ) ) )).
fof(l5_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( ( v3_lattice3(A) & v3_lattice3(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v18_waybel_0(C,A,B) => ( v5_orders_3(k2_waybel34(B,A,C),B,A) & v4_waybel_1(k2_waybel34(B,A,C),B,A) & v17_waybel_0(k2_waybel34(B,A,C),B,A) ) ) ) ) ) ) )).
fof(l5_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r3_orders_2(A,B,k1_yellow_0(A,C)) & ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & v12_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_orders_2(A,B,k1_yellow_0(A,D)) => r1_tarski(C,D) ) ) ) ) => v3_waybel_3(A) ) ) )).
fof(l5_waybel_9,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_waybel_0(A,B) = a_2_0_waybel_9(A,B) ) ) )).
fof(l5_wsierp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(C,B) ) => ( r1_xxreal_0(C,k2_xcmplx_0(A,B)) & r1_xxreal_0(k6_xcmplx_0(C,A),B) ) ) ) ) ) )).
fof(l5_xcmplx_0,axiom,( k10_subset_1(k5_numbers,k1_numbers) = k5_numbers )).
fof(l5_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,A) ) => A = B ) ) ) )).
fof(l5_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k2_xcmplx_0(A,C),k2_xcmplx_0(B,C)) ) ) ) ) )).
fof(l5_yellow11,axiom,( r1_tarski(k6_subset_1(3,2),k6_subset_1(3,1)) )).
fof(l60_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ~ ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(k13_afproj(A))) => r1_incsp_1(k13_afproj(A),B,C) ) ) ) )).
fof(l60_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => r1_tarski(k6_arytm_2(A,k6_arytm_2(B,C)),k6_arytm_2(k6_arytm_2(A,B),C)) ) ) ) )).
fof(l60_asympt_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(9,A) & r1_xxreal_0(k2_nat_1(2,k5_series_1(A,6)),k5_series_1(k1_nat_1(A,1),6)) ) ) )).
fof(l60_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k16_seq_4(k3_finseq_1(A),k15_seq_4(k3_finseq_1(A))) = k15_seq_4(k3_finseq_1(A)) ) )).
fof(l60_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( r2_tarski(A,k5_jgraph_6(E,F,G)) & r2_tarski(B,k5_jgraph_6(E,F,G)) & r2_tarski(C,k5_jgraph_6(E,F,G)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,C)) ) => k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,D)),k12_euclid(k5_algstr_0(k15_euclid(2),D,B))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,D)),k12_euclid(k5_algstr_0(k15_euclid(2),D,C))) ) ) ) ) ) ) ) ) )).
fof(l60_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => r8_relat_2(k18_finseq_1(A),k1_relat_1(A)) ) )).
fof(l60_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,A),B),k3_xcmplx_0(2,k28_sin_cos)) ) ) )).
fof(l60_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r2_tarski(D,k1_relset_1(k4_ordinal1,k8_glib_001(A,B,1,C))) & r1_xxreal_0(C,k3_finseq_1(B)) ) => k1_funct_1(k8_glib_001(A,B,1,C),D) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(l60_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_graph_2(A,k12_finseq_1(u1_struct_0(A),B),k1_xboole_0) ) ) )).
fof(l60_group_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k5_group_1(B,k2_group_1(B,C),A) = k2_group_1(B,k5_group_1(B,C,A)) ) ) ) )).
fof(l60_hurwitz,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(B,k1_complfld) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(C,k1_complfld) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),A,k12_polynom3(k1_complfld,B,C)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => ( ( r1_polynom5(k1_complfld,B,D) | r1_polynom5(k1_complfld,C,D) ) => r1_polynom5(k1_complfld,A,D) ) ) ) ) ) ) )).
fof(l60_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( C = a_2_0_jordan1(A,B) => v1_convex1(C,k15_euclid(2)) ) ) ) ) )).
fof(l60_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,B,k1_lattices(A,C,B)) => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(l60_matrix_9,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k10_matrix_1(3))) => ~ ( k4_nat_d(k3_finseq_1(A),2) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( m1_matrix_1(C,k9_matrix_1(3)) => ~ ( k1_funct_1(A,B) = C & v5_matrix_1(C,k8_matrix_1(k9_matrix_1(3))) ) ) ) ) & k3_group_4(k10_matrix_1(3),A) != k3_finseq_4(k4_ordinal1,1,2,3) & k3_group_4(k10_matrix_1(3),A) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_group_4(k10_matrix_1(3),A) != k3_finseq_4(k4_ordinal1,3,1,2) ) ) )).
fof(l60_matrprob,axiom,( m1_subset_1(1,k1_numbers) & m1_subset_1(k5_numbers,k1_numbers) )).
fof(l60_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfunc1(A,B,k2_partfun1(A,k6_numbers,E,D),D) <=> r1_mesfunc1(A,B,E,D) ) ) ) ) ) ) )).
fof(l60_modelc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => r2_modelc_1(A,B,C,D) ) => r1_modelc_1(A,B,C) ) ) ) ) )).
fof(l60_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l6_algstr_0(C) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ( ( v12_o_ring_1(D,C) & r1_xxreal_0(A,k3_finseq_1(D)) & r1_xxreal_0(B,k3_finseq_1(D)) ) => ( A = k5_numbers | B = k5_numbers | v12_o_ring_1(k8_finseq_1(u1_struct_0(C),D,k12_finseq_1(u1_struct_0(C),k6_algstr_0(C,k7_partfun1(u1_struct_0(C),D,A),k7_partfun1(u1_struct_0(C),D,B)))),C) ) ) ) ) ) ) )).
fof(l60_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_relat_2(A,B) => r1_relat_2(k2_relat_1(A),B) ) ) )).
fof(l60_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_orders_2(B,k6_poset_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) ) => r3_orders_2(A,k3_funct_2(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A),k10_poset_1(A),k1_yellow_0(k6_poset_1(A,A),B)),k1_yellow_0(A,k7_relset_1(u1_struct_0(k6_poset_1(A,A)),u1_struct_0(A),k10_poset_1(A),B))) ) ) )).
fof(l60_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => ! [D] : ( v1_quaterni(D) => ! [E] : ( v1_quaterni(E) => ( E = k6_quaterni(k6_quaterni(k6_quaterni(A,B),C),D) => ( k12_quaterni(E) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k12_quaterni(C)),k12_quaterni(D)) & k13_quaterni(E) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k13_quaterni(A),k13_quaterni(B)),k13_quaterni(C)),k13_quaterni(D)) & k14_quaterni(E) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k14_quaterni(A),k14_quaterni(B)),k14_quaterni(C)),k14_quaterni(D)) & k15_quaterni(E) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k15_quaterni(A),k15_quaterni(B)),k15_quaterni(C)),k15_quaterni(D)) ) ) ) ) ) ) ) )).
fof(l60_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => v5_lattices(A) ) )).
fof(l60_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ~ ( ~ ( ~ r2_tarski(A,k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) & ~ r2_tarski(A,a_0_1_scmpds_2) & ~ r2_tarski(A,a_0_2_scmpds_2) & ~ r2_tarski(A,a_0_3_scmpds_2) & ~ r2_tarski(A,a_0_4_scmpds_2) ) & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != k5_numbers & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 14 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 1 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 2 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 3 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 4 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 5 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 6 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 7 & k5_compos_0(u1_compos_1(k1_scmpds_2),A) != 8 ) ) )).
fof(l60_series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k4_real_1(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1)))) ) ) ) )).
fof(l60_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,k1_sin_cos2,k3_sin_cos2),A) & k1_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,k1_sin_cos2,k3_sin_cos2),A) = k7_xcmplx_0(1,k1_square_1(k1_funct_1(k3_sin_cos2,A))) ) ) )).
fof(l60_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k10_xtuple_0(A)) => r1_tarski(k3_topreal1(2,k2_finseq_5(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,A)) ) ) ) )).
fof(l60_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k24_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l60_srings_2,axiom,( k6_subset_1(k2_enumset1(1,2,3,4),k1_tarski(3)) = k1_enumset1(1,2,4) )).
fof(l60_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k3_polynom1(k15_pre_poly(A),C,k6_termord(A,B,C,D)) = k7_subset_1(k15_pre_poly(A),k3_polynom1(k15_pre_poly(A),C,D),k1_tarski(k3_termord(A,B,C,D))) ) ) ) ) )).
fof(l60_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(A,4) => m1_subset_1(A,u2_turing_1(k17_turing_1)) ) ) )).
fof(l60_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_finset_1(k7_polynom5(A,B)) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & C = k1_card_1(k7_polynom5(A,B)) & ~ r1_xxreal_0(k1_algseq_1(A,B),C) ) ) ) ) )).
fof(l60_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( D = E & r1_lattice3(A,C,D) ) => r1_lattice3(B,C,E) ) ) ) ) ) ) )).
fof(l60_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),k11_waybel_4(A,C),B),k5_waybel_0(A,B)) ) ) ) )).
fof(l61_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k6_arytm_2(A,k6_arytm_2(B,C)) = k6_arytm_2(k6_arytm_2(A,B),C) ) ) ) )).
fof(l61_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(30,A) & r1_xxreal_0(k5_series_1(2,A),k5_series_1(A,6)) ) ) )).
fof(l61_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( r2_tarski(A,k5_jgraph_6(E,F,G)) & r2_tarski(B,k5_jgraph_6(E,F,G)) & r2_tarski(C,k5_jgraph_6(E,F,G)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,A)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),B,C)) ) => k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,D)),k12_euclid(k5_algstr_0(k15_euclid(2),D,A))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,D)),k12_euclid(k5_algstr_0(k15_euclid(2),D,C))) ) ) ) ) ) ) ) ) )).
fof(l61_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l61_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( v2_fintopo6(B,A) & r1_tarski(k2_relset_1(u1_struct_0(A),B),C) & k1_funct_1(B,1) = D & k1_funct_1(B,k3_finseq_1(B)) = E & ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ~ ( v2_fintopo6(F,A) & r1_tarski(k2_relset_1(u1_struct_0(A),F),C) & k1_funct_1(F,1) = D & k1_funct_1(F,k3_finseq_1(F)) = E & ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( ( v2_fintopo6(G,A) & r1_tarski(k2_relset_1(u1_struct_0(A),G),C) & k1_funct_1(G,1) = D & k1_funct_1(G,k3_finseq_1(G)) = E ) => r1_xxreal_0(k3_finseq_1(F),k3_finseq_1(G)) ) ) ) ) ) ) ) ) ) ) )).
fof(l61_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => r1_tarski(k1_relat_1(k18_finseq_1(A)),k1_relat_1(A)) ) )).
fof(l61_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( r2_tarski(C,k7_subset_1(k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k24_fomodel2(B,A),k24_fomodel2(B,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ~ ( v3_fomodel2(C,B,k1_nat_1(D,1)) & ~ v3_fomodel2(C,B,D) & r1_xxreal_0(k1_nat_1(D,1),A) ) ) ) ) ) ) )).
fof(l61_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v15_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)) => ( v15_fomodel1(k26_fomodel3(A,B,D,C),A) & m2_subset_1(k26_fomodel3(A,B,D,C),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) ) ) ) )).
fof(l61_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,A),B),k3_xcmplx_0(2,k28_sin_cos)) ) ) )).
fof(l61_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => k1_nat_1(k3_finseq_1(k9_glib_001(A,B,C,D)),D) = k1_nat_1(k3_finseq_1(B),C) ) ) ) ) ) )).
fof(l61_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( C = a_2_1_jordan1(A,B) => v1_convex1(C,k15_euclid(2)) ) ) ) ) )).
fof(l61_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,B,k1_lattices(A,C,B)) => ( r1_lattad_1(A,B,C) & k1_lattices(A,C,B) = k5_lattad_1(A,B,C) ) ) ) ) ) )).
fof(l61_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,A) & l1_vectsp_1(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),E,F) = k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(k3_ranknull(A,B,C,E)),u1_struct_0(D),E,k7_matrlin2(A,C,D,k3_ranknull(A,B,C,E),F)) ) ) ) ) ) ) )).
fof(l61_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( v1_xreal_0(B) => ( v4_xxreal_2(A) => v4_xxreal_2(k1_measure6(A,B)) ) ) ) )).
fof(l61_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( ? [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) & F = k1_relset_1(A,D) & r1_mesfunc1(A,B,D,F) ) & ? [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) & F = k1_relset_1(A,E) & r1_mesfunc1(A,B,E,F) ) & k1_relset_1(A,D) = k1_relset_1(A,E) & ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k1_relset_1(A,k3_mesfunc1(A,D,E)) & r1_mesfunc1(A,B,k3_mesfunc1(A,D,E),F) ) ) ) ) ) ) ) ) )).
fof(l61_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_mssubfam(k1_mssubfam(A,B),A,B) & v2_mssubfam(k1_mssubfam(A,B),A,B) & v3_mssubfam(k1_mssubfam(A,B),A,B) & v4_mssubfam(k1_mssubfam(A,B),A,B) & v5_mssubfam(k1_mssubfam(A,B),A,B) & v6_mssubfam(k1_mssubfam(A,B),A,B) ) ) )).
fof(l61_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v2_nattra_1(A) => u4_struct_0(A) = k3_tarski(a_1_1_nattra_1(A)) ) ) )).
fof(l61_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_int_2(k1_newton(A,k2_xcmplx_0(C,1)),k1_newton(B,k2_xcmplx_0(D,1))) => r1_int_2(A,B) ) ) ) ) ) )).
fof(l61_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(C,A) & v1_o_ring_1(B,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),B)),k12_finseq_1(u1_struct_0(A),k6_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l61_ordeq_01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(E,F) = k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),k2_xcmplx_0(A,1)),k2_newton(k2_xcmplx_0(A,1))),D) ) => ! [F] : ( v1_xreal_0(F) => ( r1_fdiff_1(E,F) & k1_fdiff_1(E,F) = k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),A),k2_newton(A)),D)) ) ) ) ) ) ) ) ) )).
fof(l61_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r8_relat_2(A,B) => r8_relat_2(k2_relat_1(A),B) ) ) )).
fof(l61_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => ( C = k6_quaterni(A,B) => ( k12_quaterni(C) = k2_xcmplx_0(k12_quaterni(A),k12_quaterni(B)) & k13_quaterni(C) = k2_xcmplx_0(k13_quaterni(A),k13_quaterni(B)) & k14_quaterni(C) = k2_xcmplx_0(k14_quaterni(A),k14_quaterni(B)) & k15_quaterni(C) = k2_xcmplx_0(k15_quaterni(A),k15_quaterni(B)) ) ) ) ) ) )).
fof(l61_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k13_polynom3(A)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k13_polynom3(A)),k4_ordinal1))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k13_polynom3(A))) => ~ ( D != k4_struct_0(k13_polynom3(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k13_polynom3(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k13_polynom3(A))) => ~ ( C = k1_algstr_0(k13_polynom3(A),k6_algstr_0(k13_polynom3(A),E,D),F) & ~ ( F != k4_struct_0(k13_polynom3(A)) & r1_xxreal_0(k3_funct_2(u1_struct_0(k13_polynom3(A)),k4_ordinal1,B,D),k3_funct_2(u1_struct_0(k13_polynom3(A)),k4_ordinal1,B,F)) ) ) ) ) ) ) ) ) ) )).
fof(l61_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k4_rlaffin1(A,B)) ) ) )).
fof(l61_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => v5_robbins1(A) ) )).
fof(l61_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(C) & v1_scm_halt(C) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(B,k4_scmfsa_2(k5_numbers)) = 1 => ( r4_scmfsa7b(C,D) | ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(A,B,C,D),E),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(C,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(A,B,C,D),E),k1_funct_4(A,k1_scmfsa8c(D,C))) ) ) ) ) ) ) ) ) )).
fof(l61_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k2_scmbsort,A) => ( k3_compos_1(k1_scmfsa_2,A,k5_numbers) = k6_scmfsa_2(k4_scmfsa_2(2),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,1) = k11_scmfsa_2(2) & k3_compos_1(k1_scmfsa_2,A,2) = k6_scmfsa_2(k4_scmfsa_2(3),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,3) = k11_scmfsa_2(4) & k3_compos_1(k1_scmfsa_2,A,4) = k6_scmfsa_2(k4_scmfsa_2(4),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,5) = k11_scmfsa_2(6) & k3_compos_1(k1_scmfsa_2,A,6) = k6_scmfsa_2(k4_scmfsa_2(5),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,7) = k11_scmfsa_2(8) & k3_compos_1(k1_scmfsa_2,A,8) = k6_scmfsa_2(k4_scmfsa_2(6),k4_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,9) = k11_scmfsa_2(10) & k3_compos_1(k1_scmfsa_2,A,10) = k16_scmfsa_2(k4_scmfsa_2(1),k5_scmfsa_2(k5_numbers)) & k3_compos_1(k1_scmfsa_2,A,11) = k11_scmfsa_2(12) ) ) ) )).
fof(l61_sin_cos2,axiom,( r2_relset_1(k1_numbers,k1_numbers,k5_sin_cos2,k3_rfunct_1(k1_numbers,k1_numbers,k1_sin_cos2,k3_sin_cos2)) )).
fof(l61_sincos10,axiom,( k2_funct_1(k1_sincos10) = k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l61_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k24_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l61_srings_2,axiom,( k6_subset_1(k2_enumset1(1,2,3,4),k1_tarski(4)) = k1_enumset1(1,2,3) )).
fof(l61_toprealb,axiom,( k1_relset_1(u1_struct_0(k2_topalg_2),k12_toprealb) = k1_numbers )).
fof(l61_turing_1,axiom,( r2_tarski(k5_numbers,u1_turing_1(k17_turing_1)) & r2_tarski(1,u1_turing_1(k17_turing_1)) )).
fof(l61_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : k1_yellow_0(A,C) = k1_yellow_0(B,C) ) ) ) )).
fof(l61_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_zmodul03(A) ) => v2_zmodul03(B) ) ) ) ) )).
fof(l62_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,9) & r1_xxreal_0(k2_power(2,A),k1_square_1(k3_xcmplx_0(2,A))) ) ) )).
fof(l62_fib_num4,axiom,( k7_xcmplx_0(k3_square_1(5),k3_xcmplx_0(k6_xcmplx_0(k3_square_1(5),5),k1_fib_num)) = k4_xcmplx_0(k7_xcmplx_0(1,2)) )).
fof(l62_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => r1_relat_2(k18_finseq_1(A),k1_relat_1(A)) ) )).
fof(l62_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) => ~ ( v3_fomodel2(C,B,k1_nat_1(A,1)) & ~ v3_fomodel2(C,B,A) & ! [D] : ( ( v4_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) ) => ! [E] : ( ( v3_fomodel2(E,B,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => C != k42_fomodel1(B,k43_fomodel1(B,D),E) ) ) & ! [D] : ( ( v3_fomodel2(D,B,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v3_fomodel2(E,B,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => C != k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),D),E) ) ) ) ) ) ) )).
fof(l62_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v15_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m2_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A)) => ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),k27_fomodel3(A,B,D,C)) = k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),C) & k34_fomodel1(A,k27_fomodel3(A,B,D,C)) = k3_relat_1(k34_fomodel1(A,C),k9_fomodel2(A,k35_fomodel1(A),k34_fomodel2(A,k35_fomodel1(A),k7_fomodel3(A,k1_xboole_0),B,D))) ) ) ) ) ) )).
fof(l62_funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( B != k1_xboole_0 & A != k1_xboole_0 & ~ r2_wellord2(k4_card_3(k8_funct_6(A,B)),k1_funct_2(A,k4_card_3(B))) ) ) )).
fof(l62_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(C,1))) ) ) ) )).
fof(l62_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ! [F] : ( r1_glib_001(A,E,F,B) => r1_glib_001(A,E,F,k9_glib_001(A,B,C,D)) ) ) ) ) ) )).
fof(l62_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,B,C) = k8_group_1(A,C,B) ) ) ) )).
fof(l62_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( C = a_2_2_jordan1(A,B) => v1_convex1(C,k15_euclid(2)) ) ) ) ) )).
fof(l62_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r1_lattad_1(A,B,C) & k1_lattices(A,C,B) = k5_lattad_1(A,B,C) ) => r1_lattices(A,B,k1_lattices(A,C,B)) ) ) ) ) )).
fof(l62_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_nattra_1(A) => k2_cat_1(A,B,B) = k1_tarski(k4_cat_1(A,B)) ) ) ) )).
fof(l62_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) & k2_xcmplx_0(k1_newton(A,D),k1_newton(B,D)) = k1_newton(C,D) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( k2_xcmplx_0(k1_newton(E,D),k1_newton(F,D)) = k1_newton(G,D) & r1_int_2(E,F) & A = k3_xcmplx_0(k3_int_2(A,B),E) & B = k3_xcmplx_0(k3_int_2(A,B),F) & C = k3_xcmplx_0(k3_int_2(A,B),G) ) ) ) ) ) ) ) ) ) )).
fof(l62_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v1_o_ring_1(C,A) ) => v13_o_ring_1(k6_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l62_ordeq_01,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(E,F) = k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),A),k2_newton(A)),D)) ) => ! [F] : ( v1_xreal_0(F) => r1_fdiff_1(E,F) ) ) ) ) ) ) ) )).
fof(l62_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r4_relat_2(A,B) => r4_relat_2(k2_relat_1(A),B) ) ) )).
fof(l62_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k6_quaterni(A,B) = k5_quaterni(k2_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k2_xcmplx_0(k13_quaterni(A),k13_quaterni(B)),k2_xcmplx_0(k14_quaterni(A),k14_quaterni(B)),k2_xcmplx_0(k15_quaterni(A),k15_quaterni(B))) ) ) )).
fof(l62_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => B = k4_rlaffin1(A,B) ) ) )).
fof(l62_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( r2_tarski(D,k3_rusub_1(A,C,B)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_struct_0(B,E) & D = k3_rlvect_1(A,C,E) ) ) ) ) ) )).
fof(l62_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( r1_tarski(k2_scmbsort,B) => ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,1),k4_struct_0(k1_scmfsa_2)) = 1 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,1),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,1),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,2),k4_struct_0(k1_scmfsa_2)) = 2 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,2),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,2),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,3),k4_struct_0(k1_scmfsa_2)) = 3 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,3),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,3),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,4),k4_struct_0(k1_scmfsa_2)) = 4 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,4),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,4),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,5),k4_struct_0(k1_scmfsa_2)) = 5 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,5),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,5),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,6),k4_struct_0(k1_scmfsa_2)) = 6 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,6),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,6),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,7),k4_struct_0(k1_scmfsa_2)) = 7 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,7),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,7),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,8),k4_struct_0(k1_scmfsa_2)) = 8 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,8),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,8),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,9),k4_struct_0(k1_scmfsa_2)) = 9 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,9),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,9),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,10),k4_struct_0(k1_scmfsa_2)) = 10 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,10),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,10),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_struct_0(k1_scmfsa_2)) = 11 & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(k5_numbers)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(1)) = k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(2)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(3)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(4)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(5)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,11),k4_scmfsa_2(6)) = k1_funct_1(A,k4_scmfsa_2(k5_numbers)) ) ) ) ) )).
fof(l62_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => k3_funct_2(k2_numbers,k2_numbers,k10_funcop_1(k2_numbers,k2_numbers,k5_binop_2,A,k6_partfun1(k2_numbers)),B) = k3_xcmplx_0(A,B) ) ) )).
fof(l62_sincos10,axiom,( k2_funct_1(k2_sincos10) = k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)) )).
fof(l62_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k24_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l62_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) & r1_xxreal_0(k4_xcmplx_0(1),B) & r1_xxreal_0(B,1) ) => r1_xxreal_0(k3_xcmplx_0(k2_xcmplx_0(1,k1_square_1(A)),k1_square_1(B)),k2_xcmplx_0(1,k1_square_1(B))) ) ) ) )).
fof(l62_srings_2,axiom,( k6_subset_1(k1_enumset1(1,2,3),k1_enumset1(2,3,4)) = k1_tarski(1) )).
fof(l62_topalg_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_mfold_2(A))) => ! [C] : ( m1_borsuk_2(C,k4_mfold_2(A),B,B) => ( k2_relset_1(u1_struct_0(k4_mfold_2(A)),C) != u1_struct_0(k4_mfold_2(A)) => v3_topalg_6(C,k4_mfold_2(A),B) ) ) ) ) )).
fof(l62_topgen_1,axiom,( k3_numbers = k6_subset_1(k1_numbers,k1_borsuk_5) )).
fof(l62_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k3_zfmisc_1(u2_turing_1(k17_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k17_turing_1)))) => ! [B] : ! [C] : ! [D] : ( A = k3_xtuple_0(B,C,D) => ( B = 4 | k8_turing_1(k17_turing_1,A) = k3_xtuple_0(k1_mcart_1(u2_turing_1(k17_turing_1),u1_turing_1(k17_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k17_turing_1,A)),k2_xcmplx_0(k6_turing_1(k17_turing_1,A),k5_turing_1(k17_turing_1,k7_turing_1(k17_turing_1,A))),k4_turing_1(k17_turing_1,k3_mcart_1(u2_turing_1(k17_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k17_turing_1)),A),k6_turing_1(k17_turing_1,A),k2_mcart_1(u2_turing_1(k17_turing_1),u1_turing_1(k17_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k17_turing_1,A)))) ) ) ) )).
fof(l62_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : k2_yellow_0(A,C) = k2_yellow_0(B,C) ) ) ) )).
fof(l62_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B != k5_numbers => A = k7_xcmplx_0(k3_xcmplx_0(A,B),B) ) ) ) )).
fof(l63_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(H,I) & r2_tarski(H,K) & r2_tarski(H,J) & r2_tarski(B,I) & r2_tarski(E,I) & r2_tarski(C,K) & r2_tarski(F,K) & r2_tarski(D,J) & r2_tarski(G,J) & v1_aff_1(I,A) & v1_aff_1(K,A) & v1_aff_1(J,A) & r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) ) => ( r2_aff_4(A,I,K,J) | H = B | H = C | H = D | I = K | I = J | r2_analoaf(A,C,D,F,G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l63_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k13_afproj(A))) => ! [G] : ( m1_subset_1(G,u1_incsp_1(k13_afproj(A))) => ! [H] : ( m1_subset_1(H,u2_incsp_1(k13_afproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k13_afproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k13_afproj(A))) => ( ( v1_aff_1(B,A) & v1_aff_1(D,A) & v1_aff_4(C,A) & r1_tarski(B,C) & r1_tarski(D,C) & H = k4_tarski(B,1) & I = k4_tarski(D,1) & r1_incsp_1(k13_afproj(A),F,H) & r1_incsp_1(k13_afproj(A),G,I) & r1_incsp_1(k13_afproj(A),F,J) & r1_incsp_1(k13_afproj(A),G,J) & J = k4_tarski(E,1) & v1_aff_1(E,A) ) => ( F = G | r1_tarski(E,C) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l63_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ~ ( k8_arytm_2(A,B) = k11_arytm_3 & A != k11_arytm_3 & B != k11_arytm_3 ) ) ) )).
fof(l63_asympt_1,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_xxreal_0(A,B) & r1_xxreal_0(k6_xcmplx_0(k3_square_1(B),k3_power(2,B)),1) ) ) ) )).
fof(l63_dickson,axiom,( v16_waybel_0(k11_dickson) )).
fof(l63_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => m3_cat_2(k11_ens_1(B),k11_ens_1(A)) ) ) )).
fof(l63_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) & ~ r1_xxreal_0(k28_sin_cos,k4_euclid_3(C,B,A)) & ~ ( k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(C,B,A),k4_euclid_3(B,A,C)),k4_euclid_3(A,C,B)) = k28_sin_cos & k2_xcmplx_0(k2_xcmplx_0(k4_euclid_3(C,A,B),k4_euclid_3(A,B,C)),k4_euclid_3(B,C,A)) = k3_xcmplx_0(5,k28_sin_cos) ) ) ) ) ) )).
fof(l63_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => k1_relat_1(k18_finseq_1(A)) = k1_relat_1(A) ) )).
fof(l63_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( v4_fomodel1(D,C) & m1_subset_1(D,k1_fomodel1(C)) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,C,B) ) => ! [F] : ( m2_subset_1(F,k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k35_fomodel1(C)) => r2_funct_2(k35_fomodel1(C),B,k1_partfun1(k35_fomodel1(C),k35_fomodel1(C),k35_fomodel1(C),B,k9_fomodel2(C,k35_fomodel1(C),k34_fomodel2(C,k35_fomodel1(C),k7_fomodel3(C,A),D,F)),k9_fomodel2(C,B,E)),k9_fomodel2(C,B,k5_fomodel2(E,D,k3_funct_2(k35_fomodel1(C),B,k9_fomodel2(C,B,E),F)))) ) ) ) ) ) )).
fof(l63_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( J = k3_xcmplx_0(k6_xcmplx_0(k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),k3_rlvect_1(A,D,E)),k3_xcmplx_0(2,k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),F))),k5_xcmplx_0(k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),k5_algstr_0(A,D,E)))) & K = k3_xcmplx_0(k6_xcmplx_0(k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),k3_rlvect_1(A,D,E)),k3_xcmplx_0(2,k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),G))),k5_xcmplx_0(k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),k5_algstr_0(A,D,E)))) & H = k3_rlvect_1(A,F,k1_rlvect_1(A,k5_algstr_0(A,D,E),J)) & I = k3_rlvect_1(A,G,k1_rlvect_1(A,k5_algstr_0(A,D,E),K)) ) => ( k5_algstr_0(A,I,H) = k3_rlvect_1(A,k5_algstr_0(A,G,F),k1_rlvect_1(A,k5_algstr_0(A,D,E),k6_xcmplx_0(K,J))) & k6_xcmplx_0(K,J) = k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),k5_algstr_0(A,G,F))),k5_xcmplx_0(k4_geomtrap(A,B,C,k5_algstr_0(A,D,E),k5_algstr_0(A,D,E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l63_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_xxreal_0(k3_finseq_1(k9_glib_001(A,B,C,D)),k3_finseq_1(B)) ) ) ) ) )).
fof(l63_jgraph_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),1),k1_square_1(A)),k1_square_1(B)) => r1_xxreal_0(k3_xcmplx_0(k6_xcmplx_0(k1_square_1(A),1),k2_xcmplx_0(k1_square_1(A),k1_square_1(B))),k5_numbers) ) ) ) )).
fof(l63_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( C = a_2_4_jordan1(A,B) => v1_convex1(C,k15_euclid(2)) ) ) ) ) )).
fof(l63_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_lattices(A,B,D) & r1_lattices(A,C,D) ) => ( r1_lattad_1(A,B,C) & k1_lattices(A,B,C) = k5_lattad_1(A,B,C) ) ) ) ) ) )).
fof(l63_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( v1_xreal_0(B) => ( v3_xxreal_2(A) => v3_xxreal_2(k1_measure6(A,B)) ) ) ) )).
fof(l63_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(D,1)),k1_newton(B,k2_xcmplx_0(D,1))) = k1_newton(C,k2_xcmplx_0(D,1)) & r1_int_2(A,B) ) => r1_int_2(A,C) ) ) ) ) ) )).
fof(l63_normform,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(A))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k7_normform(A))) => ~ ( r2_tarski(B,k10_normform(A,C,D)) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r1_normform(k5_finsub_1(A),k5_finsub_1(A),E,B) & r2_tarski(E,k10_normform(A,k9_normform(A,C),D)) ) ) ) ) ) ) )).
fof(l63_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ( ( v4_o_ring_1(C,B) & r1_xxreal_0(A,k3_finseq_1(C)) ) => ( k5_numbers = A | v13_o_ring_1(k7_partfun1(u1_struct_0(B),C,A),B) ) ) ) ) ) )).
fof(l63_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_oppcat_1(B))) => k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),k4_cat_1(k2_oppcat_1(B),D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,C),k4_oppcat_1(B,D))) ) ) ) ) )).
fof(l63_ordeq_01,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,D) & ! [G] : ( v1_xreal_0(G) => k1_funct_1(F,G) = k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(G,B)),A),k2_newton(A)),E)) ) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(B,D))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(B,D))) & r1_integra5(k3_integra5(B,D),F) & k4_integra5(B,D,F) = k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(D,B)),k2_xcmplx_0(A,1)),k2_newton(k2_xcmplx_0(A,1))),E) ) ) ) ) ) ) ) ) )).
fof(l63_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r6_relat_2(A,B) => r6_relat_2(k2_relat_1(A),B) ) ) )).
fof(l63_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => ( C = k9_quaterni(A,B) => ( k12_quaterni(C) = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k15_quaterni(B))) & k13_quaterni(C) = k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k13_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k15_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k14_quaterni(B))) & k14_quaterni(C) = k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k14_quaterni(B)),k3_xcmplx_0(k14_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k15_quaterni(B))) & k15_quaterni(C) = k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k15_quaterni(B)),k3_xcmplx_0(k15_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k13_quaterni(B))) ) ) ) ) ) )).
fof(l63_scmbsort,axiom,( ~ r4_scmfsa7b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),k4_scmfsa_2(k1_nat_1(1,1))) )).
fof(l63_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ( r2_tarski(C,k3_tarski(k7_scmyciel(A,B))) => r2_tarski(C,B) ) ) )).
fof(l63_series_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,B,E) = k1_square_1(k3_real_1(k8_nat_1(k1_numbers,C,E),k8_nat_1(k1_numbers,D,E))) ) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(B),A)) ) ) ) ) ) )).
fof(l63_sin_cos6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r2_hidden(B,k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)))) => r2_tarski(k2_xcmplx_0(B,k3_xcmplx_0(2,k28_sin_cos)),k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))))) ) ) ) ) ) )).
fof(l63_sincos10,axiom,( k2_funct_1(k3_sincos10) = k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)) )).
fof(l63_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k24_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l63_srings_2,axiom,( k6_subset_1(k1_enumset1(1,2,3),k1_tarski(1)) = k2_tarski(2,3) )).
fof(l63_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k4_polynom1(A,C,k6_termord(A,B,C,D),k3_termord(A,B,C,D)) = k4_struct_0(C) ) ) ) ) )).
fof(l63_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_tex_4(A,B) = k2_tex_4(A,C) => k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(l63_topalg_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_mfold_2(A))) => ! [C] : ( m1_borsuk_2(C,k4_mfold_2(A),B,B) => ~ ( r1_xxreal_0(2,A) & k2_relset_1(u1_struct_0(k4_mfold_2(A)),C) = u1_struct_0(k4_mfold_2(A)) & ! [D] : ( m1_borsuk_2(D,k4_mfold_2(A),B,B) => ~ ( r3_borsuk_2(k4_mfold_2(A),B,B,D,C) & k2_relset_1(u1_struct_0(k4_mfold_2(A)),D) != u1_struct_0(k4_mfold_2(A)) ) ) ) ) ) ) )).
fof(l63_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( C = D & v1_waybel_0(C,A) ) => v1_waybel_0(D,B) ) ) ) ) ) ) )).
fof(l63_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v22_waybel_0(k4_waybel_1(A,B),A,A) ) ) )).
fof(l64_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k13_afproj(A))) => ! [G] : ( m1_subset_1(G,u1_incsp_1(k13_afproj(A))) => ! [H] : ( m1_subset_1(H,u2_incsp_1(k13_afproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k13_afproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k13_afproj(A))) => ( ( v1_aff_1(B,A) & v1_aff_1(D,A) & v1_aff_4(C,A) & r1_tarski(B,C) & r1_tarski(D,C) & H = k4_tarski(B,1) & I = k4_tarski(D,1) & r1_incsp_1(k13_afproj(A),F,H) & r1_incsp_1(k13_afproj(A),G,I) & r1_incsp_1(k13_afproj(A),F,J) & r1_incsp_1(k13_afproj(A),G,J) & J = k4_tarski(k6_afproj(A,E),2) & v1_aff_4(E,A) ) => ( F = G | ( r1_aff_4(A,E,C) & r1_aff_4(A,C,E) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l64_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k6_arytm_2(A,k5_arytm_2(B,C)) = k5_arytm_2(k6_arytm_2(A,B),k6_arytm_2(A,C)) ) ) ) )).
fof(l64_asympt_1,axiom,( k7_newton(5) = 120 )).
fof(l64_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => m2_bcialg_1(k1_tarski(k4_struct_0(A)),A) ) )).
fof(l64_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r7_cqc_the3(A,B,C) => r7_cqc_the3(A,k6_cqc_lang(A,B),k6_cqc_lang(A,C)) ) ) ) ) )).
fof(l64_dickson,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ v2_struct_0(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) & v4_dickson(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) & v3_dickson(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) & v5_orders_2(k4_yellow_1(A,k7_funcop_1(A,k11_dickson))) ) ) )).
fof(l64_euclid10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) & ~ r1_xxreal_0(k28_sin_cos,k4_euclid_3(C,B,A)) & k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k4_euclid_3(C,B,A),3),k7_xcmplx_0(k4_euclid_3(B,A,C),3)),k7_xcmplx_0(k4_euclid_3(A,C,B),3)) != k7_xcmplx_0(k28_sin_cos,3) ) ) ) ) )).
fof(l64_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(5),1) )).
fof(l64_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => r1_tarski(k8_funct_7(A,k5_numbers),k18_finseq_1(A)) ) )).
fof(l64_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ ( ~ v15_fomodel1(B,A) & k29_fomodel2(A,B) = k5_numbers ) ) ) )).
fof(l64_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k9_glib_001(A,B,C,C),B) ) ) ) )).
fof(l64_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u4_incsp_1(A)) => ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u1_incsp_1(A)) & r2_incsp_1(A,C,B) & ~ v4_incsp_1(k9_domain_1(u1_incsp_1(A),C,D,E,F),A) ) ) ) ) ) ) )).
fof(l64_jgraph_3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( k6_xcmplx_0(k1_square_1(A),1) = k5_numbers & A != 1 & A != k4_xcmplx_0(1) ) ) )).
fof(l64_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k1_funct_1(A,B) = k1_funct_1(A,C) ) => B = C ) ) ) ) )).
fof(l64_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r1_lattad_1(A,B,C) & k1_lattices(A,B,C) = k5_lattad_1(A,B,C) ) => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(l64_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( A != k1_xboole_0 & B != k1_xboole_0 & C != k1_xboole_0 & D != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,C) => ! [I] : ( m1_subset_1(I,D) => E != k6_xtuple_0(F,G,H,I) ) ) ) ) ) ) )).
fof(l64_modelc_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v10_modelc_1(B) & l2_modelc_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k18_modelc_1,u3_modelc_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(B)))) ) => r2_tarski(k21_modelc_1(B,C,A),k23_modelc_1(B,C)) ) ) ) )).
fof(l64_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v4_nattra_1(A) => r1_tarski(u4_struct_0(A),a_1_0_nattra_1(A)) ) ) )).
fof(l64_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v13_o_ring_1(B,A) ) ) ) )).
fof(l64_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( r1_xxreal_0(A,B) & ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( k1_relset_1(k1_numbers,F) = k3_integra5(A,B) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k3_integra5(A,B)) => k1_funct_1(F,G) = k3_xcmplx_0(D,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(G,A)),E),k2_newton(E)),C)) ) ) & v1_fcont_1(F) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & k4_integra5(A,B,F) = k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(B,A)),k2_xcmplx_0(E,1)),k2_newton(k2_xcmplx_0(E,1))),C) ) ) ) ) ) ) ) ) )).
fof(l64_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => ! [D] : ( v1_quaterni(D) => k6_quaterni(k6_quaterni(k6_quaterni(A,B),C),D) = k5_quaterni(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k12_quaterni(C)),k12_quaterni(D)),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k13_quaterni(A),k13_quaterni(B)),k13_quaterni(C)),k13_quaterni(D)),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k14_quaterni(A),k14_quaterni(B)),k14_quaterni(C)),k14_quaterni(D)),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k15_quaterni(A),k15_quaterni(B)),k15_quaterni(C)),k15_quaterni(D))) ) ) ) ) )).
fof(l64_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m2_rlsub_1(D,A,B) & r2_tarski(C,D) ) ) ) ) )).
fof(l64_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m2_rusub_1(D,A,B) & r2_tarski(C,D) ) ) ) ) )).
fof(l64_scmbsort,axiom,( v1_scmfsa7b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))))) & v1_scm_halt(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))))) )).
fof(l64_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ( ( r2_tarski(C,B) & r2_tarski(C,k3_tarski(A)) ) => r2_tarski(C,k3_tarski(k7_scmyciel(A,B))) ) ) )).
fof(l64_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => r1_tarski(k7_relset_1(B,A,D,C),A) ) ) )).
fof(l64_sin_cos6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r2_hidden(B,k8_subset_1(k1_numbers,k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))),k1_numbers)) => r2_tarski(k2_xcmplx_0(B,k3_xcmplx_0(2,k28_sin_cos)),k8_subset_1(k1_numbers,k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1)))),k1_numbers)) ) ) ) ) ) )).
fof(l64_sincos10,axiom,( k2_funct_1(k4_sincos10) = k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l64_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k24_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l64_srings_2,axiom,( k6_subset_1(k1_enumset1(1,2,3),k1_tarski(2)) = k2_tarski(1,3) )).
fof(l64_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( E != k3_termord(A,B,C,D) => k4_polynom1(A,C,k6_termord(A,B,C,D),E) = k4_polynom1(A,C,D,E) ) ) ) ) ) ) )).
fof(l64_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_waybel_3(A,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => r1_waybel_3(B,E,F) ) ) ) ) ) ) ) ) ) )).
fof(l64_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k7_xcmplx_0(A,B) = k7_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)) ) ) ) ) )).
fof(l65_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => v2_collsp(k5_anproj_1(A)) ) )).
fof(l65_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(10,A) & r1_xxreal_0(k7_xcmplx_0(1,k2_power(2,k6_xcmplx_0(A,9))),k7_xcmplx_0(k5_series_1(2,k2_nat_1(2,A)),k7_newton(A))) ) ) )).
fof(l65_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( B = k1_tarski(k4_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => r2_tarski(k2_bcialg_1(A,C),k1_tarski(k4_struct_0(A))) ) ) ) ) )).
fof(l65_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_numbers) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ~ ( k1_relset_1(k4_ordinal1,C) = k4_card_1(B) & k6_xcmplx_0(k11_newton(k4_card_1(B),k4_card_1(A)),k7_afinsq_2(C)) = k1_card_1(a_2_1_card_fin(A,B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,D) = k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),D),k4_newton(k1_nat_1(D,1),k4_card_1(B))),k1_newton(k6_xcmplx_0(k6_xcmplx_0(k4_card_1(B),D),1),k4_card_1(A))) ) ) ) ) ) ) ) )).
fof(l65_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r7_cqc_the3(A,k6_cqc_lang(A,B),k6_cqc_lang(A,C)) => r7_cqc_the3(A,B,C) ) ) ) ) )).
fof(l65_fib_num4,axiom,( ~ r1_xxreal_0(k6_xcmplx_0(k3_square_1(5),1),k6_xcmplx_0(1,1)) & ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l65_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k4_filter_0(A,C,D),B) => ( r2_tarski(k4_filter_0(A,C,k3_lattices(A,D,E)),B) & r2_tarski(k4_filter_0(A,C,k3_lattices(A,E,D)),B) & r2_tarski(k4_filter_0(A,k4_lattices(A,C,E),D),B) & r2_tarski(k4_filter_0(A,k4_lattices(A,E,C),D),B) ) ) ) ) ) ) ) )).
fof(l65_fomodel0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k8_funct_7(B,k2_xcmplx_0(A,1)),k18_finseq_1(B)) ) ) )).
fof(l65_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v4_fomodel2(B,A) & ~ v15_fomodel1(B,A) & ~ r2_tarski(k1_funct_1(B,1),k16_fomodel1(A)) & k1_funct_1(B,1) != k1_fomodel2(A) ) ) ) )).
fof(l65_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v13_fomodel1(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k33_fomodel1(A,k24_fomodel3(A,B,C,D)) = k3_relat_1(k33_fomodel1(A,D),k20_fomodel0(k1_fomodel1(A),B,C)) ) ) ) ) )).
fof(l65_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(C,1))) ) ) ) )).
fof(l65_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => k4_glib_001(A,k8_glib_001(A,B,1,C)) = k3_glib_001(A,k8_glib_001(A,B,D,k3_finseq_1(B))) ) ) ) ) ) )).
fof(l65_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k6_xcmplx_0(B,A),B) ) ) )).
fof(l65_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),B),k6_hilbert1) ) ) ) )).
fof(l65_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => r1_ordinal1(k1_ordinal1(k1_xboole_0),k7_lattice5(A,B,C)) ) ) ) )).
fof(l65_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k7_matrix_0(A,B,C) ) ) ) ) )).
fof(l65_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ~ ( D = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,E,k5_numbers)) & v2_mesfunc9(E,A) & v1_mesfunc8(E,A,k6_numbers) & ! [F] : ( v7_ordinal1(F) => ( v6_supinf_2(k4_mesfunc5(A,k6_numbers,E,F)) & r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,E,F),D) ) ) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,D) => v1_mesfunc9(k3_mesfunc5(A,E,F)) ) ) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( ! [G] : ( v7_ordinal1(G) => k12_supinf_2(F,G) = k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,E,G),D)) ) & v1_mesfunc9(F) & k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k7_mesfunc8(A,k3_mesfunc9(A,E)),D)) = k2_mesfunc9(F) ) ) ) ) ) ) ) ) )).
fof(l65_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( A = 1 & k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(C,2)),k1_newton(A,k2_xcmplx_0(C,2))) = k1_newton(B,k2_xcmplx_0(C,2)) ) ) ) ) )).
fof(l65_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_o_ring_1(B,A) => v12_o_ring_1(k12_finseq_1(u1_struct_0(A),B),A) ) ) ) )).
fof(l65_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ~ ( r3_polyred(A,B,C,D,E,F,G) & r2_tarski(G,k3_polynom1(k15_pre_poly(A),C,F)) ) ) ) ) ) ) ) ) )).
fof(l65_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k9_quaterni(A,B) = k5_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k15_quaterni(B))),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k13_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k15_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k14_quaterni(B))),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k14_quaterni(B)),k3_xcmplx_0(k14_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k15_quaterni(B))),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k15_quaterni(B)),k3_xcmplx_0(k15_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k13_quaterni(B)))) ) ) )).
fof(l65_scmbsort,axiom,( ~ r4_scmfsa7b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),k4_scmfsa_2(k1_nat_1(k5_numbers,1))) )).
fof(l65_series_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k5_numbers) ) & r1_xxreal_0(k1_power(k1_nat_1(A,1),k8_nat_1(k1_numbers,k1_series_3(B),A)),k5_numbers) ) ) ) )).
fof(l65_sin_cos6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r2_hidden(B,k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)))) => r2_tarski(k6_xcmplx_0(B,k3_xcmplx_0(2,k28_sin_cos)),k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1))),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1))))) ) ) ) ) ) )).
fof(l65_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k24_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l65_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k3_xcmplx_0(A,k3_square_1(k2_xcmplx_0(1,k1_square_1(B)))),k3_xcmplx_0(B,k3_square_1(k2_xcmplx_0(1,k1_square_1(A))))) ) ) ) )).
fof(l65_srings_2,axiom,( k6_subset_1(k1_enumset1(1,2,3),k1_tarski(3)) = k2_tarski(1,2) )).
fof(l65_stirl2_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ~ ( r2_tarski(B,A) & r1_xxreal_0(k4_card_1(A),k4_card_1(k6_subset_1(A,k1_tarski(B)))) ) ) )).
fof(l65_toprealb,axiom,( k1_funct_1(k12_toprealb,k7_xcmplx_0(1,2)) = k19_euclid(k4_xcmplx_0(1),k5_numbers) )).
fof(l65_valued_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k4_finseq_1(C) = k4_finseq_1(B) & k10_xtuple_0(C) = k1_relset_1(k4_ordinal1,k61_valued_1(B,A)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => k1_funct_1(C,D) = k1_nat_1(A,D) ) ) & v2_funct_1(C) ) ) ) )).
fof(l65_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,B) ) => ( C = D => k1_waybel11(A,C) = k1_waybel11(B,D) ) ) ) ) ) ) )).
fof(l65_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(k5_numbers,C) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)) ) ) ) ) )).
fof(l66_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ( ( r5_aff_1(A,H,J) & r5_aff_1(A,H,I) & r2_tarski(B,H) & r2_tarski(E,H) & r2_tarski(C,J) & r2_tarski(F,J) & r2_tarski(D,I) & r2_tarski(G,I) & v1_aff_1(H,A) & r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) ) => ( r2_aff_4(A,H,J,I) | H = J | H = I | r2_analoaf(A,C,D,F,G) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l66_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k13_afproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k13_afproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k13_afproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k13_afproj(A))) => ! [G] : ( m1_subset_1(G,u2_incsp_1(k13_afproj(A))) => ! [H] : ( m1_subset_1(H,u2_incsp_1(k13_afproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k13_afproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),B,G) & r1_incsp_1(k13_afproj(A),C,G) & r1_incsp_1(k13_afproj(A),D,H) & r1_incsp_1(k13_afproj(A),E,H) & r1_incsp_1(k13_afproj(A),F,G) & r1_incsp_1(k13_afproj(A),F,H) & r1_incsp_1(k13_afproj(A),B,I) & r1_incsp_1(k13_afproj(A),D,I) & r1_incsp_1(k13_afproj(A),C,J) & r1_incsp_1(k13_afproj(A),E,J) & ~ r1_incsp_1(k13_afproj(A),F,I) & ~ r1_incsp_1(k13_afproj(A),F,J) & G != H & m1_subset_1(F,u1_struct_0(A)) & ! [K] : ( m1_subset_1(K,u1_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),K,I) & r1_incsp_1(k13_afproj(A),K,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l66_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => v3_collsp(k5_anproj_1(A)) ) )).
fof(l66_arytm_2,axiom,( m1_subset_1(k12_arytm_3,k2_arytm_2) )).
fof(l66_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(3,A) => r1_xxreal_0(k6_xcmplx_0(A,1),k3_xcmplx_0(2,k6_xcmplx_0(A,2))) ) ) )).
fof(l66_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( m1_bcialg_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( u1_struct_0(C) = k2_relset_1(u1_struct_0(B),D) => ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & v2_bcialg_6(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) ) ) ) ) )).
fof(l66_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_boolealg(A,k1_boolealg(A,k3_lattices(A,B,C),k3_boolealg(A,B,C)),k4_lattices(A,B,C)) ) ) ) )).
fof(l66_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(5),2) )).
fof(l66_fomodel0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k8_funct_7(B,A),k18_finseq_1(B)) ) ) )).
fof(l66_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => v12_fomodel1(k24_fomodel2(B,A),B) ) ) )).
fof(l66_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v15_fomodel1(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k34_fomodel1(A,k24_fomodel3(A,B,C,D)) = k3_relat_1(k34_fomodel1(A,D),k20_fomodel0(k1_fomodel1(A),B,C)) ) ) ) ) )).
fof(l66_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( ~ v1_abian(F) & m1_subset_1(F,k4_ordinal1) ) => ( ( r1_xxreal_0(E,F) & r1_xxreal_0(F,k3_finseq_1(B)) & k1_funct_1(B,E) = k1_funct_1(B,F) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k2_finseq_1(E)) => k1_funct_1(k9_glib_001(A,B,E,F),G) = k1_funct_1(B,G) ) ) ) ) ) ) ) )).
fof(l66_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_graph_3(A,k10_xtuple_0(B))) => k10_xtuple_0(k10_graph_3(A,C,B)) = k10_xtuple_0(B) ) ) ) ) )).
fof(l66_graphsp,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(A),F) | k1_funct_1(A,k6_xcmplx_0(k3_finseq_1(A),F)) = k1_funct_1(C,k1_nat_1(k7_partfun1(k4_ordinal1,A,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),F),1)),E)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(B),F) | k1_funct_1(B,k6_xcmplx_0(k3_finseq_1(B),F)) = k1_funct_1(C,k1_nat_1(k7_partfun1(k4_ordinal1,B,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),F),1)),E)) ) ) ) & r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(B)) & k1_funct_1(A,k3_finseq_1(A)) = k1_funct_1(B,k3_finseq_1(B)) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(A),F) | k1_funct_1(A,k6_xcmplx_0(k3_finseq_1(A),F)) = k1_funct_1(B,k6_xcmplx_0(k3_finseq_1(B),F)) ) ) ) ) ) ) ) ) ) )).
fof(l66_hfdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_fdiff_1(B,A) => r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k2_fdiff_1(B,A),A),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),2)) ) ) ) )).
fof(l66_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),k4_hilbert1(k4_hilbert1(A,B),C)),k4_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),B)),k6_hilbert1) ) ) ) )).
fof(l66_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( B = k4_newton(A,k2_nat_1(2,A)) & r1_xxreal_0(3,A) ) => B = k2_nat_1(k2_nat_1(k2_wsierp_1(k14_finseq_1(a_2_4_nat_4(A,B))),k2_wsierp_1(k14_finseq_1(a_2_5_nat_4(A,B)))),k2_wsierp_1(k14_finseq_1(a_2_6_nat_4(A,B)))) ) ) ) )).
fof(l66_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(C,A) & v5_o_ring_1(B,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),B)),k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l66_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,C),D))) ) ) ) ) )).
fof(l66_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ( k12_quaterni(k9_quaterni(A,B)) = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k15_quaterni(B))) & k13_quaterni(k9_quaterni(A,B)) = k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k13_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k15_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k14_quaterni(B))) & k14_quaterni(k9_quaterni(A,B)) = k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k14_quaterni(B)),k3_xcmplx_0(k14_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k15_quaterni(B))) & k15_quaterni(k9_quaterni(A,B)) = k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k15_quaterni(B)),k3_xcmplx_0(k15_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k13_quaterni(B))) ) ) ) )).
fof(l66_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ( ( v2_robbins2(A) & v3_robbins2(A) ) => ( v4_lattices(A) & v6_robbins1(A) & v5_lattices(A) ) ) ) )).
fof(l66_scmbsort,axiom,( ~ r4_scmfsa7b(k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))))),k4_scmfsa_2(k1_nat_1(k5_numbers,1))) )).
fof(l66_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( r1_tarski(B,k3_tarski(A)) => k3_tarski(k7_scmyciel(A,B)) = B ) ) )).
fof(l66_series_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k5_numbers) & r1_xxreal_0(k1_funct_1(B,k6_xcmplx_0(C,1)),k8_nat_1(k1_numbers,B,C)) ) ) => r1_xxreal_0(k5_numbers,k7_xcmplx_0(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,B,k1_nat_1(A,1)),k7_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(B),A),k1_nat_1(A,1))),k1_nat_1(A,2))) ) ) ) )).
fof(l66_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => r1_xxreal_0(2,k2_xcmplx_0(k1_funct_1(k22_sin_cos,A),k1_funct_1(k22_sin_cos,k4_xcmplx_0(A)))) ) )).
fof(l66_sin_cos6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r2_hidden(B,k8_subset_1(k1_numbers,k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))),k1_numbers)) => r2_tarski(k6_xcmplx_0(B,k3_xcmplx_0(2,k28_sin_cos)),k8_subset_1(k1_numbers,k1_rcomp_1(k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1))),k2_xcmplx_0(D,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1)))),k1_numbers)) ) ) ) ) ) )).
fof(l66_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k24_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l66_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k3_xcmplx_0(A,k3_square_1(k2_xcmplx_0(1,k1_square_1(B)))),k3_xcmplx_0(B,k3_square_1(k2_xcmplx_0(1,k1_square_1(A))))) ) ) ) )).
fof(l66_srings_2,axiom,( k6_subset_1(k1_enumset1(1,2,3),k1_tarski(4)) = k1_enumset1(1,2,3) )).
fof(l66_topgen_1,axiom,( m1_subset_1(k3_numbers,k1_zfmisc_1(u1_struct_0(k3_topmetr))) )).
fof(l66_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( D = E => ! [F] : ( m3_yellow_6(F,u1_struct_0(D),A) => ! [G] : ( m3_yellow_6(G,u1_struct_0(E),B) => ( F = G => k7_yellow_6(A,D,F) = k7_yellow_6(B,E,G) ) ) ) ) ) ) ) ) ) )).
fof(l66_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r3_orders_2(A,k1_yellow_0(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),B),C)),B) ) ) ) )).
fof(l66_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(B,A) ) => r1_xxreal_0(k7_xcmplx_0(B,C),k7_xcmplx_0(A,C)) ) ) ) ) )).
fof(l66_xxreal_3,axiom,( r2_hidden(k5_numbers,k1_numbers) )).
fof(l67_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k13_afproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k13_afproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k13_afproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k13_afproj(A))) => ! [G] : ( m1_subset_1(G,u2_incsp_1(k13_afproj(A))) => ! [H] : ( m1_subset_1(H,u2_incsp_1(k13_afproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k13_afproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),B,G) & r1_incsp_1(k13_afproj(A),C,G) & r1_incsp_1(k13_afproj(A),D,H) & r1_incsp_1(k13_afproj(A),E,H) & r1_incsp_1(k13_afproj(A),F,G) & r1_incsp_1(k13_afproj(A),F,H) & r1_incsp_1(k13_afproj(A),B,I) & r1_incsp_1(k13_afproj(A),D,I) & r1_incsp_1(k13_afproj(A),C,J) & r1_incsp_1(k13_afproj(A),E,J) & ~ r1_incsp_1(k13_afproj(A),F,I) & ~ r1_incsp_1(k13_afproj(A),F,J) & G != H & ~ m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & ! [K] : ( m1_subset_1(K,u1_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),K,I) & r1_incsp_1(k13_afproj(A),K,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l67_arytm_2,axiom,( ! [A] : ~ ( r2_tarski(A,a_0_0_arytm_2) & A != k11_arytm_3 & ! [B] : ( m1_subset_1(B,k5_arytm_3) => ~ ( r2_tarski(B,A) & B != k11_arytm_3 ) ) ) )).
fof(l67_asympt_1,axiom,( k5_series_1(5,5) = 3125 )).
fof(l67_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ( r1_cat_6(A,C,B) => k2_cat_6(A,C,B) = k1_funct_1(u1_cat_6(A),k4_tarski(C,B)) ) ) ) ) )).
fof(l67_descip_1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m2_finseq_2(D,k4_finseq_2(A,k5_margrel1),k4_finseq_2(C,k4_finseq_2(A,k5_margrel1))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k4_finseq_2(B,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(B,k5_margrel1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(B,k5_margrel1)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1)) & v3_funct_2(F,k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1)))) ) => ! [G] : ( m2_finseq_2(G,k5_margrel1,k4_finseq_2(k2_nat_1(2,B),k5_margrel1)) => ? [H] : ( m2_finseq_2(H,k5_margrel1,k4_finseq_2(k2_nat_1(2,B),k5_margrel1)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k4_finseq_2(B,k5_margrel1)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_finseq_2(B,k5_margrel1)))) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k4_finseq_2(B,k5_margrel1)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_finseq_2(B,k5_margrel1)))) & k13_descip_1(B,k5_margrel1,I,k5_numbers) = k4_descip_1(k5_margrel1,B,k3_funct_2(k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1),F,G)) & k13_descip_1(B,k5_margrel1,J,k5_numbers) = k5_descip_1(k5_margrel1,B,k3_funct_2(k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1),F,G)) & ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(k5_numbers,K) & r1_xxreal_0(K,k6_xcmplx_0(C,1)) ) => ( k13_descip_1(B,k5_margrel1,I,k1_nat_1(K,1)) = k13_descip_1(B,k5_margrel1,J,K) & k13_descip_1(B,k5_margrel1,J,k1_nat_1(K,1)) = k11_descip_1(B,k13_descip_1(B,k5_margrel1,I,K),k2_binop_1(k4_finseq_2(B,k5_margrel1),k4_finseq_2(A,k5_margrel1),k4_finseq_2(B,k5_margrel1),E,k13_descip_1(B,k5_margrel1,J,K),k7_partfun1(k4_finseq_2(A,k5_margrel1),D,k1_nat_1(K,1)))) ) ) ) & H = k1_funct_1(k2_funct_2(k4_finseq_2(k2_nat_1(2,B),k5_margrel1),F),k9_binarith(B,B,k5_margrel1,k13_descip_1(B,k5_margrel1,J,C),k13_descip_1(B,k5_margrel1,I,C))) ) ) ) ) ) ) ) ) ) ) )).
fof(l67_fib_num4,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(2),k4_xcmplx_0(k3_square_1(5))) )).
fof(l67_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k4_filter_0(A,C,E),B) & r2_tarski(k4_filter_0(A,D,E),B) ) => r2_tarski(k4_filter_0(A,k3_lattices(A,C,D),E),B) ) ) ) ) ) ) )).
fof(l67_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r1_tarski(k10_xtuple_0(D),k9_xtuple_0(D)) & r2_tarski(A,k9_xtuple_0(D)) & k1_funct_1(B,k5_numbers) = A & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(C,E) => k1_funct_1(B,k2_xcmplx_0(E,1)) = k1_funct_1(D,k1_funct_1(B,E)) ) ) ) => k1_funct_1(B,C) = k1_funct_1(k8_funct_7(D,C),A) ) ) ) ) )).
fof(l67_fomodel1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => r1_tarski(k1_funct_1(k39_fomodel1(B),A),k3_finseq_2(k5_fomodel1(B))) ) ) )).
fof(l67_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel1(k30_fomodel2(A),A) ) )).
fof(l67_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( ( v4_fomodel1(E,D) & m1_subset_1(E,k1_fomodel1(D)) ) => ! [F] : ( ( v4_fomodel1(F,D) & m1_subset_1(F,k1_fomodel1(D)) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_fomodel2(G,D,A) ) => k2_partfun1(k35_fomodel1(D),A,k9_fomodel2(D,A,k5_fomodel2(G,E,B)),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k3_fomodel0(k1_fomodel1(D),k6_subset_1(k1_fomodel1(D),k6_domain_1(k1_fomodel1(D),F))),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),C))) = k2_partfun1(k3_finseq_2(k1_fomodel1(D)),A,k1_partfun1(k3_finseq_2(k1_fomodel1(D)),k3_finseq_2(k1_fomodel1(D)),k35_fomodel1(D),A,k20_fomodel0(k1_fomodel1(D),E,F),k9_fomodel2(D,A,k5_fomodel2(G,F,B))),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k3_fomodel0(k1_fomodel1(D),k6_subset_1(k1_fomodel1(D),k6_domain_1(k1_fomodel1(D),F))),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),C))) ) ) ) ) ) ) ) )).
fof(l67_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(C,E) & r1_xxreal_0(E,k3_finseq_1(k9_glib_001(A,B,C,D))) ) => ( k1_funct_1(k9_glib_001(A,B,C,D),E) = k1_funct_1(B,k2_xcmplx_0(k6_xcmplx_0(E,C),D)) & m1_subset_1(k2_xcmplx_0(k6_xcmplx_0(E,C),D),k4_ordinal1) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(E,C),D),k3_finseq_1(B)) ) ) ) ) ) ) ) ) )).
fof(l67_graph_5,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k1_rvsum_1(A)) => r1_xxreal_0(k5_numbers,B) ) ) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => r1_xxreal_0(k5_numbers,k1_funct_1(A,B)) ) ) ) ) )).
fof(l67_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k25_grcat_1(A))) => ! [C] : ( m1_subset_1(C,u4_struct_0(k25_grcat_1(A))) => ( k3_graph_1(k25_grcat_1(A),C) = k4_graph_1(k25_grcat_1(A),B) => ( k3_graph_1(k25_grcat_1(A),k1_cat_1(k25_grcat_1(A),B,C)) = k3_graph_1(k25_grcat_1(A),B) & k4_graph_1(k25_grcat_1(A),k1_cat_1(k25_grcat_1(A),B,C)) = k4_graph_1(k25_grcat_1(A),C) ) ) ) ) ) )).
fof(l67_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),k4_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),B)),k6_hilbert1) ) ) ) )).
fof(l67_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k22_sin_cos) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k22_sin_cos,A)) ) ) )).
fof(l67_measure6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( v2_rcomp_1(B) => v2_rcomp_1(k1_measure6(B,A)) ) ) ) )).
fof(l67_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => r2_tarski(k6_algstr_0(A,C,D),B) ) ) & ! [C] : ( ( ~ v2_struct_0(C) & v15_algstr_0(C) & m2_monoid_0(C,A) ) => u1_struct_0(C) != B ) ) ) ) )).
fof(l67_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( B = k4_newton(A,k2_nat_1(2,A)) & r1_xxreal_0(3,A) ) => r1_xxreal_0(k2_wsierp_1(k14_finseq_1(a_2_4_nat_4(A,B))),k2_power(k2_nat_1(2,A),k3_square_1(k2_nat_1(2,A)))) ) ) ) )).
fof(l67_newton01,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k2_xcmplx_0(A,k1_newton(B,2)) = k1_newton(C,2) => k6_xcmplx_0(k2_xcmplx_0(A,k1_newton(k2_xcmplx_0(B,D),2)),k1_newton(k2_xcmplx_0(C,D),2)) = k3_xcmplx_0(k3_xcmplx_0(2,D),k6_xcmplx_0(B,C)) ) ) ) ) ) )).
fof(l67_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l67_ordinal5,axiom,( r2_tarski(k5_numbers,k5_card_1(1)) )).
fof(l67_scmbsort,axiom,( v1_scmfsa7b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))))))) & v1_scm_halt(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))))))) )).
fof(l67_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ! [D] : ( ( r2_tarski(C,B) & r2_tarski(D,B) & r2_tarski(k2_tarski(C,D),A) ) => r2_tarski(k2_tarski(C,D),k7_scmyciel(A,B)) ) ) )).
fof(l67_sin_cos,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k2_xcmplx_0(k3_xcmplx_0(2,B),1) ) ) )).
fof(l67_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( v4_topreal1(E) & m2_finseq_1(E,u1_struct_0(k15_euclid(2))) ) => ! [F] : ( ( v4_topreal1(F) & m2_finseq_1(F,u1_struct_0(k15_euclid(2))) ) => ~ ( B = k7_partfun1(u1_struct_0(k15_euclid(2)),E,1) & B = k7_partfun1(u1_struct_0(k15_euclid(2)),F,1) & C = k7_partfun1(u1_struct_0(k15_euclid(2)),E,k3_finseq_1(E)) & C = k7_partfun1(u1_struct_0(k15_euclid(2)),F,k3_finseq_1(F)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,E),k3_topreal1(2,F)) = k2_tarski(B,C) & A = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,E),k3_topreal1(2,F)) & D != B & r2_tarski(D,k10_xtuple_0(E)) & ! [G] : ( ( v4_topreal1(G) & m2_finseq_1(G,u1_struct_0(k15_euclid(2))) ) => ! [H] : ( ( v4_topreal1(H) & m2_finseq_1(H,u1_struct_0(k15_euclid(2))) ) => ~ ( B = k7_partfun1(u1_struct_0(k15_euclid(2)),G,1) & B = k7_partfun1(u1_struct_0(k15_euclid(2)),H,1) & D = k7_partfun1(u1_struct_0(k15_euclid(2)),G,k3_finseq_1(G)) & D = k7_partfun1(u1_struct_0(k15_euclid(2)),H,k3_finseq_1(H)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,G),k3_topreal1(2,H)) = k2_tarski(B,D) & A = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,G),k3_topreal1(2,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(l67_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,A) ) => r1_xxreal_0(k3_xcmplx_0(B,k3_square_1(k2_xcmplx_0(1,k1_square_1(A)))),k3_xcmplx_0(A,k3_square_1(k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) )).
fof(l67_srings_2,axiom,( k6_subset_1(k1_enumset1(2,3,4),k1_enumset1(1,2,3)) = k1_tarski(4) )).
fof(l67_stirl2_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k5_card_1(k4_card_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k5_card_1(k4_card_1(B))))) ) => ~ ( r2_tarski(A,B) & v3_funct_2(C,B,k5_card_1(k4_card_1(B))) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k1_relset_1(B,C)) & r2_tarski(E,k1_relset_1(B,C)) & ~ r1_xxreal_0(E,D) & r1_xxreal_0(k2_stirl2_1(B,k4_card_1(B),C,E),k2_stirl2_1(B,k4_card_1(B),C,D)) ) ) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,B) & ~ ( ( ~ r1_xxreal_0(A,E) => k1_funct_1(D,E) = k1_funct_1(k2_funct_1(C),k1_nat_1(k2_stirl2_1(B,k4_card_1(B),C,E),1)) ) & ( E = A => k1_funct_1(D,E) = k1_funct_1(k2_funct_1(C),k5_numbers) ) & ( ~ r1_xxreal_0(E,A) => k1_funct_1(D,E) = E ) ) ) ) ) ) ) ) )).
fof(l67_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v4_orders_2(E) & v7_waybel_0(E) & l1_waybel_0(E,B) ) => ( D = E => ! [F] : ( m3_yellow_6(F,u1_struct_0(D),A) => m3_yellow_6(F,u1_struct_0(E),B) ) ) ) ) ) ) ) ) )).
fof(l67_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k5_xcmplx_0(k3_xcmplx_0(A,k5_xcmplx_0(B))) = k3_xcmplx_0(k5_xcmplx_0(A),B) ) ) )).
fof(l67_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k7_xcmplx_0(B,C),k7_xcmplx_0(A,C)) ) ) ) ) )).
fof(l68_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k13_afproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k13_afproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k13_afproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k13_afproj(A))) => ! [G] : ( m1_subset_1(G,u2_incsp_1(k13_afproj(A))) => ! [H] : ( m1_subset_1(H,u2_incsp_1(k13_afproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k13_afproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),B,G) & r1_incsp_1(k13_afproj(A),C,G) & r1_incsp_1(k13_afproj(A),D,H) & r1_incsp_1(k13_afproj(A),E,H) & r1_incsp_1(k13_afproj(A),F,G) & r1_incsp_1(k13_afproj(A),F,H) & r1_incsp_1(k13_afproj(A),B,I) & r1_incsp_1(k13_afproj(A),D,I) & r1_incsp_1(k13_afproj(A),C,J) & r1_incsp_1(k13_afproj(A),E,J) & ~ r1_incsp_1(k13_afproj(A),F,I) & ~ r1_incsp_1(k13_afproj(A),F,J) & G != H & ~ m1_subset_1(F,u1_struct_0(A)) & ~ ( ~ m1_subset_1(B,u1_struct_0(A)) & ~ m1_subset_1(C,u1_struct_0(A)) & ~ m1_subset_1(D,u1_struct_0(A)) & ~ m1_subset_1(E,u1_struct_0(A)) ) & ! [K] : ( m1_subset_1(K,u1_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),K,I) & r1_incsp_1(k13_afproj(A),K,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l68_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_anproj_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_anproj_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_anproj_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_anproj_1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_anproj_1(A))) => ~ ( r1_collsp(k5_anproj_1(A),B,C,D) & r1_collsp(k5_anproj_1(A),B,C,E) & r1_collsp(k5_anproj_1(A),C,D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k5_anproj_1(A))) => ~ ( r1_collsp(k5_anproj_1(A),B,D,G) & r1_collsp(k5_anproj_1(A),E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(l68_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ~ ( A != k11_arytm_3 & ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => k6_arytm_2(A,B) != k3_arytm_2(c3__arytm_2) ) ) ) )).
fof(l68_asympt_1,axiom,( k5_series_1(4,4) = 256 )).
fof(l68_cat_6,axiom,( ! [A] : ( ( v9_cat_6(A) & l1_cat_6(A) ) => ( v8_cat_6(A) <=> ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( ( r1_cat_6(A,D,C) & r1_cat_6(A,C,B) ) => k2_cat_6(A,D,k2_cat_6(A,C,B)) = k2_cat_6(A,k2_cat_6(A,D,C),B) ) ) ) ) ) ) )).
fof(l68_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ( ( B = D & C = E ) => k1_algstr_0(k9_cc0sp2(A),B,C) = k3_rlvect_1(k7_cc0sp1(u1_struct_0(A)),D,E) ) ) ) ) ) ) )).
fof(l68_classes2,axiom,( v4_ordinal1(k4_ordinal1) )).
fof(l68_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k20_coh_sp(A)) => ! [C] : ( m1_subset_1(C,k20_coh_sp(A)) => ( ( k2_xfamily(B) = k2_xfamily(C) & k21_coh_sp(A,B) = k21_coh_sp(A,C) & k22_coh_sp(A,B) = k22_coh_sp(A,C) ) => B = C ) ) ) )).
fof(l68_fib_num4,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(2),5),k2_xcmplx_0(k4_xcmplx_0(k3_square_1(5)),5)) )).
fof(l68_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_lattices(k1_lattice2(A),k1_filter_2(A,B)) = k7_lattices(A,B) ) ) )).
fof(l68_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r1_tarski(k2_zfmisc_1(k10_xtuple_0(B),k10_xtuple_0(C)),k9_xtuple_0(D)) & A = k3_xxreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) => k9_xtuple_0(k3_funcop_1(D,B,C)) = k1_finseq_1(A) ) ) ) ) ) )).
fof(l68_finseq_4,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k4_card_1(A) = k4_card_1(B) & k10_xtuple_0(C) = B ) => v2_funct_1(C) ) ) ) ) )).
fof(l68_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( v4_fomodel1(D,C) & m1_subset_1(D,k1_fomodel1(C)) ) => ! [E] : ( ( v4_fomodel1(E,C) & m1_subset_1(E,k1_fomodel1(C)) ) => ! [F] : ( ( v15_fomodel1(F,C) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_fomodel2(G,C,A) ) => ( v5_relat_1(F,k6_subset_1(k1_fomodel1(C),k6_domain_1(k1_fomodel1(C),E))) => k13_fomodel2(C,A,k5_fomodel2(G,D,B),F) = k13_fomodel2(C,A,k5_fomodel2(G,E,B),k24_fomodel3(C,D,E,F)) ) ) ) ) ) ) ) ) )).
fof(l68_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => k3_finseq_1(k9_glib_001(A,B,C,D)) = k6_xcmplx_0(k1_nat_1(k3_finseq_1(B),C),D) ) ) ) ) ) )).
fof(l68_graph_5,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( C = k8_finseq_1(k1_numbers,A,B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k1_rvsum_1(C)) => r1_xxreal_0(k5_numbers,D) ) ) ) => ( ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => r1_xxreal_0(k5_numbers,k1_funct_1(A,D)) ) ) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => r1_xxreal_0(k5_numbers,k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(l68_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k25_grcat_1(A))) => ! [C] : ( m2_grcat_1(C,k17_grcat_1(A)) => ( B = C => ! [D] : ( m1_cat_1(D,k25_grcat_1(A),B,B) => ( D = k21_grcat_1(k17_grcat_1(A),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(k25_grcat_1(A))) => ( ( k2_cat_1(k25_grcat_1(A),B,E) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k25_grcat_1(A),B,E) => k1_cat_1(k25_grcat_1(A),D,F) = F ) ) & ( k2_cat_1(k25_grcat_1(A),E,B) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k25_grcat_1(A),E,B) => k1_cat_1(k25_grcat_1(A),F,D) = F ) ) ) ) ) ) ) ) ) ) )).
fof(l68_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( ( v2_group_9(D,A) & m1_group_9(D,A,B) ) => ( m1_group_9(D,A,C) <=> k17_group_9(A,B,D,C) = D ) ) ) ) )).
fof(l68_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),k4_hilbert1(A,C)),k6_hilbert1) ) ) ) )).
fof(l68_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_2(B,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => k4_finseq_1(k3_fvsum_1(A,B,C)) = k3_finsub_1(k1_zfmisc_1(k4_ordinal1),k4_finseq_1(B),k4_finseq_1(C)) ) ) ) )).
fof(l68_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) ) ) ) )).
fof(l68_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k6_modal_1) => ! [B] : ( m1_subset_1(B,k6_modal_1) => ( k17_modal_1 != k10_modal_1(A) & k17_modal_1 != k11_modal_1(A) & k17_modal_1 != k12_modal_1(A,B) ) ) ) )).
fof(l68_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ( ( v6_o_ring_1(C,B) & r1_xxreal_0(A,k3_finseq_1(C)) ) => ( k5_numbers = A | v13_o_ring_1(k7_partfun1(u1_struct_0(B),C,A),B) ) ) ) ) ) )).
fof(l68_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_oppcat_1(B))) => k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),k4_cat_1(k2_oppcat_1(B),D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,C),k4_oppcat_1(B,D))) ) ) ) ) )).
fof(l68_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_xreal_0(B) => ( A = B => ( k12_quaterni(A) = B & k13_quaterni(A) = k5_numbers & k14_quaterni(A) = k5_numbers & k15_quaterni(A) = k5_numbers ) ) ) ) )).
fof(l68_scmpds_2,axiom,( k8_struct_0(k1_scmpds_2) = k2_ami_2 )).
fof(l68_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => k8_nat_1(k1_numbers,c2__sin_cos,A) = k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) )).
fof(l68_srings_2,axiom,( k6_subset_1(k1_enumset1(2,3,4),k1_tarski(1)) = k1_enumset1(2,3,4) )).
fof(l68_topgen_1,axiom,( m1_subset_1(k1_borsuk_5,k1_zfmisc_1(u1_struct_0(k3_topmetr))) )).
fof(l68_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(A,3) => m1_subset_1(A,u2_turing_1(k19_turing_1)) ) ) )).
fof(l68_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v1_uproots(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_uproots(u1_struct_0(A),k7_uproots(A,k12_polynom3(A,B,C))) = k1_nat_1(k3_uproots(u1_struct_0(A),k7_uproots(A,B)),k3_uproots(u1_struct_0(A),k7_uproots(A,C))) ) ) ) )).
fof(l68_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => r1_tarski(k2_waybel11(A),k2_waybel11(B)) ) ) ) )).
fof(l68_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,k7_xcmplx_0(A,2)) ) ) )).
fof(l69_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k13_afproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k13_afproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k13_afproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k13_afproj(A))) => ! [G] : ( m1_subset_1(G,u2_incsp_1(k13_afproj(A))) => ! [H] : ( m1_subset_1(H,u2_incsp_1(k13_afproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k13_afproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),B,G) & r1_incsp_1(k13_afproj(A),C,G) & r1_incsp_1(k13_afproj(A),D,H) & r1_incsp_1(k13_afproj(A),E,H) & r1_incsp_1(k13_afproj(A),F,G) & r1_incsp_1(k13_afproj(A),F,H) & r1_incsp_1(k13_afproj(A),B,I) & r1_incsp_1(k13_afproj(A),D,I) & r1_incsp_1(k13_afproj(A),C,J) & r1_incsp_1(k13_afproj(A),E,J) & ~ r1_incsp_1(k13_afproj(A),F,I) & ~ r1_incsp_1(k13_afproj(A),F,J) & G != H & ! [K] : ( m1_subset_1(K,u1_incsp_1(k13_afproj(A))) => ~ ( r1_incsp_1(k13_afproj(A),K,I) & r1_incsp_1(k13_afproj(A),K,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l69_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_anproj_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_anproj_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_anproj_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_anproj_1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_anproj_1(A))) => ~ ( ~ r1_collsp(k5_anproj_1(A),B,C,D) & r1_collsp(k5_anproj_1(A),B,C,E) & r1_collsp(k5_anproj_1(A),C,D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k5_anproj_1(A))) => ~ ( r1_collsp(k5_anproj_1(A),B,D,G) & r1_collsp(k5_anproj_1(A),E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(l69_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k7_xcmplx_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) = k3_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(D,B)) ) ) ) ) )).
fof(l69_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m2_bcialg_1(B,A) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => r1_tarski(a_4_0_bcialg_1(A,B,C,D),B) ) ) ) ) ) )).
fof(l69_bvfunc14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : k7_enumset1(A,B,C,D,E,F,G,H,I) = k2_xboole_0(k2_enumset1(A,B,C,D),k3_enumset1(E,F,G,H,I)) )).
fof(l69_card_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v1_finset_1(B) => ( ( k4_card_1(B) = A & ! [C] : ! [D] : ~ ( r2_tarski(C,B) & r2_tarski(D,B) & ~ r1_tarski(C,D) & ~ r1_tarski(D,C) ) ) => ( B = k1_xboole_0 | r2_tarski(k3_tarski(B),B) ) ) ) => ! [B] : ( v1_finset_1(B) => ( ( k4_card_1(B) = k2_xcmplx_0(A,1) & ! [C] : ! [D] : ~ ( r2_tarski(C,B) & r2_tarski(D,B) & ~ r1_tarski(C,D) & ~ r1_tarski(D,C) ) ) => ( B = k1_xboole_0 | r2_tarski(k3_tarski(B),B) ) ) ) ) ) )).
fof(l69_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( k1_relset_1(A,C) = A & v2_funct_1(C) & ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_numbers) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) ) => ~ ( k1_relset_1(k4_ordinal1,D) = k4_card_1(A) & k6_xcmplx_0(k7_newton(k4_card_1(A)),k7_afinsq_2(D)) = k1_card_1(a_3_3_card_fin(A,B,C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,D)) => k1_funct_1(D,E) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),E),k7_newton(k4_card_1(A))),k7_newton(k1_nat_1(E,1))) ) ) ) ) ) ) ) ) )).
fof(l69_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(u1_struct_0(A)))) => ( C = D => k1_clvect_1(k9_cc0sp2(A),C,B) = k1_clvect_1(k7_cc0sp1(u1_struct_0(A)),D,B) ) ) ) ) ) )).
fof(l69_fib_num4,axiom,( ~ r1_xxreal_0(3,k2_xcmplx_0(k4_xcmplx_0(k3_square_1(5)),k1_square_1(k3_square_1(5)))) )).
fof(l69_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(k4_filter_0(A,C,D),B) & r2_tarski(k4_filter_0(A,C,E),B) ) => r2_tarski(k4_filter_0(A,C,k4_lattices(A,D,E)),B) ) ) ) ) ) ) )).
fof(l69_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r1_tarski(k10_xtuple_0(D),k9_xtuple_0(D)) & r2_tarski(A,k9_xtuple_0(D)) & k1_funct_1(B,1) = A & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k2_xcmplx_0(C,1),E) | k1_funct_1(B,k2_xcmplx_0(E,1)) = k1_funct_1(D,k1_funct_1(B,E)) ) ) ) ) => k1_funct_1(B,k2_xcmplx_0(C,1)) = k1_funct_1(k8_funct_7(D,C),A) ) ) ) ) )).
fof(l69_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k36_gfacirc1(A,B,C)) & H = k1_funct_1(F,D) & I = k1_funct_1(F,E) ) => ( k1_funct_1(k6_circuit2(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k3_gfacirc1)) = k9_margrel1(G,k8_margrel1(I)) & k1_funct_1(k6_circuit2(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(E,D),k2_twoscomp)) = k9_margrel1(k8_margrel1(I),H) & k1_funct_1(k6_circuit2(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1)) = k9_margrel1(H,G) ) ) ) ) ) ) ) ) ) ) )).
fof(l69_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) ) => ! [B] : ( ( v1_xcmplx_0(B) & v1_gaussint(B) ) => ( r2_gaussint(A,B) => k16_gaussint(A) = k16_gaussint(B) ) ) ) )).
fof(l69_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k3_glib_001(A,B) = k1_funct_1(B,C) => r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k9_glib_001(A,B,1,C),k8_glib_001(A,B,C,k3_finseq_1(B))) ) ) ) ) )).
fof(l69_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => m1_group_2(B,k8_group_4(A,B,C)) ) ) ) )).
fof(l69_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),B),k4_hilbert1(k4_hilbert1(A,C),B)),k6_hilbert1) ) ) ) )).
fof(l69_hurwitz,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ! [E] : ( m1_subset_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k1_numbers) => ( ( A = k2_xcmplx_0(C,k3_xcmplx_0(D,k7_complex1)) & B = k2_xcmplx_0(E,k3_xcmplx_0(F,k7_complex1)) ) => k6_xcmplx_0(k1_square_1(k9_complex1(k2_xcmplx_0(A,k8_complex1(B)))),k1_square_1(k9_complex1(k6_xcmplx_0(A,B)))) = k3_xcmplx_0(k3_xcmplx_0(4,C),E) ) ) ) ) ) ) ) )).
fof(l69_integra8,axiom,( v1_xreal_0(1) )).
fof(l69_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k4_member_1(k8_member_1(A,B)) = k8_member_1(k4_member_1(A),k4_member_1(B)) ) ) )).
fof(l69_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_algstr_0(A,D)) = k4_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) )).
fof(l69_modal_1,axiom,( m1_subset_1(k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers),k4_modal_1) )).
fof(l69_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v7_o_ring_1(B,A) => v13_o_ring_1(B,A) ) ) ) )).
fof(l69_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(C,E) & r1_xxreal_0(E,D) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,A) ) => r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(A,k6_xcmplx_0(E,C)),k2_xcmplx_0(F,1)),k2_newton(k2_xcmplx_0(F,1))),B),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(A,k6_xcmplx_0(D,C)),k2_xcmplx_0(F,1)),k2_newton(k2_xcmplx_0(F,1))),B)) ) ) ) ) ) ) ) )).
fof(l69_prefer_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) ) => r2_relset_1(u1_struct_0(k2_prefer_1(A)),u1_struct_0(k2_prefer_1(A)),u1_pcs_0(k2_prefer_1(A)),k6_partfun1(u1_struct_0(k2_prefer_1(A)))) ) )).
fof(l69_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( ~ r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(5,1))),k5_numbers) => k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)),B,A),k5_scmfsa_2(k5_numbers)) = k1_funct_7(k1_funct_7(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k9_complex1(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))),k7_partfun1(k4_numbers,k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k9_complex1(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(3,1)))))),k9_complex1(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(3,1)))),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(4,1)))) ) & ( r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(5,1))),k5_numbers) => k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)),B,A),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)) ) ) ) ) )).
fof(l69_sin_cos,axiom,( v1_funct_1(c2__sin_cos) & v1_funct_2(c2__sin_cos,k4_ordinal1,k4_ordinal1) & v5_valued_0(c2__sin_cos) & m1_subset_1(c2__sin_cos,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) )).
fof(l69_srings_2,axiom,( k6_subset_1(k1_enumset1(2,3,4),k1_tarski(2)) = k2_tarski(3,4) )).
fof(l69_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k12_toprealb,A) = k19_euclid(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k3_xcmplx_0(2,k28_sin_cos),k5_numbers),k18_sin_cos),A),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k3_xcmplx_0(2,k28_sin_cos),k5_numbers),k16_sin_cos),A)) ) )).
fof(l69_turing_1,axiom,( r2_tarski(k5_numbers,u1_turing_1(k19_turing_1)) & r2_tarski(1,u1_turing_1(k19_turing_1)) )).
fof(l69_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => k2_waybel11(A) = k2_waybel11(B) ) ) ) )).
fof(l6_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,C,B,D,E) ) ) ) ) ) ) )).
fof(l6_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_diraf(A,B,C,F,G) & r2_diraf(A,D,E,F,G) ) => r2_diraf(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(l6_altcat_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ( m1_subset_1(k1_xboole_0,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) & r2_tarski(k1_xboole_0,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) ) ) ) )).
fof(l6_altcat_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [C] : ( m1_subset_1(C,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) => C = D ) ) ) ) )).
fof(l6_ami_wstd,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & l1_extpro_1(C,B) ) => r1_ami_wstd(B,C,A,A) ) ) ) )).
fof(l6_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_extpro_1(A))) => k2_compos_0(B) = k5_numbers ) ) )).
fof(l6_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( r1_analmetr(A,B,C) & k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)) ) => ( D = F & E = G ) ) ) ) ) ) ) ) ) )).
fof(l6_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r1_analmetr(A,C,D) & B = k3_rlvect_1(A,k1_rlvect_1(A,C,E),k1_rlvect_1(A,D,F)) ) => ( E = k2_geomtrap(A,C,D,B) & F = k3_geomtrap(A,C,D,B) ) ) ) ) ) ) ) ) )).
fof(l6_aofa_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( v7_ordinal1(C) => v8_comput_1(k1_aofa_000(A,A,k4_finseq_2(C,A),B),C) ) ) ) )).
fof(l6_arithm,axiom,( k4_xcmplx_0(k5_numbers) = k5_numbers )).
fof(l6_arytm_2,axiom,( r1_tarski(k2_xboole_0(k5_arytm_3,k1_arytm_2),k2_xboole_0(k5_arytm_3,a_0_0_arytm_2)) )).
fof(l6_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r4_alg_1(A,A,B) => ( v1_funct_1(k2_funct_1(B)) & v1_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(k2_funct_1(B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) ) )).
fof(l6_bhsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),A,B)) = k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),B,A)) ) ) )).
fof(l6_boole,axiom,( ! [A] : ( v1_xboole_0(A) => A = k1_xboole_0 ) )).
fof(l6_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,k7_xcmplx_0(1,2)) ) => r2_tarski(k2_xcmplx_0(A,k7_xcmplx_0(1,2)),u1_struct_0(k17_borsuk_1)) ) ) )).
fof(l6_card_4,axiom,( ! [A] : ~ ( r2_tarski(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => A != k1_domain_1(k4_ordinal1,k4_ordinal1,B,C) ) ) ) )).
fof(l6_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => v1_catalan2(k8_funcop_1(k4_ordinal1,A,k5_numbers)) ) )).
fof(l6_cfdiff_1,axiom,( v1_funct_1(k8_funcop_1(k2_numbers,k4_ordinal1,k5_complex1)) & v1_funct_2(k8_funcop_1(k2_numbers,k4_ordinal1,k5_complex1),k4_ordinal1,k2_numbers) & m1_subset_1(k8_funcop_1(k2_numbers,k4_ordinal1,k5_complex1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) )).
fof(l6_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_relset_1(k4_ordinal1,k2_numbers,B,k25_valued_1(k4_ordinal1,k2_numbers,A,k7_complex1)) => ( ( ( v1_cfdiff_1(A,k5_numbers) & v9_ordinal1(A) ) => ( v1_cfdiff_1(B,k5_numbers) & v9_ordinal1(B) ) ) & ( ( v1_cfdiff_1(B,k5_numbers) & v9_ordinal1(B) ) => ( v1_cfdiff_1(A,k5_numbers) & v9_ordinal1(A) ) ) ) ) ) ) )).
fof(l6_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_tarski(C,k9_xtuple_0(D)) ) ) ) ) )).
fof(l6_collsp,axiom,( ~ v1_xboole_0(k6_domain_1(k4_ordinal1,1)) )).
fof(l6_complex1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( k3_complex1(k5_arytm_0(A,B)) = A & k4_complex1(k5_arytm_0(A,B)) = B ) ) ) )).
fof(l6_comptrig,axiom,( ~ r1_xxreal_0(k28_sin_cos,k5_numbers) )).
fof(l6_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v2_cqc_the1(k7_cqc_lang(A,B,C),A) => ( v2_cqc_the1(B,A) & v2_cqc_the1(C,A) ) ) ) ) ) )).
fof(l6_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_3(A) => r1_xxreal_0(k9_complex1(k11_comseq_3(A)),k4_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A))) ) ) )).
fof(l6_csspace4,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v1_comseq_2(B) => v1_comseq_2(k25_valued_1(k4_ordinal1,k2_numbers,B,A)) ) ) ) )).
fof(l6_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r2_hidden(k4_tarski(B,C),D) => ( r2_hidden(B,A) & r2_hidden(C,A) ) ) ) )).
fof(l6_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => m2_finseq_2(A,k1_numbers,k1_euclid(k3_finseq_1(A))) ) )).
fof(l6_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => k4_euclid_3(A,B,C) != k2_xcmplx_0(k3_xcmplx_0(2,k4_euclid_3(D,E,F)),k3_xcmplx_0(2,k28_sin_cos)) ) ) ) ) ) ) )).
fof(l6_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => k8_euclid(3,A,B) = k1_euclid_8(k6_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,1)),k6_xcmplx_0(k1_funct_1(A,2),k1_funct_1(B,2)),k6_xcmplx_0(k1_funct_1(A,3),k1_funct_1(B,3))) ) ) )).
fof(l6_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(k6_xcmplx_0(1,A),B) & r1_xxreal_0(B,k6_xcmplx_0(A,1)) & r1_int_1(A,B) ) => B = k5_numbers ) ) ) )).
fof(l6_fib_fusc,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( A != k5_numbers & r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(6,A),4),k5_numbers) ) ) )).
fof(l6_fib_num,axiom,( k1_nat_1(k1_nat_1(1,1),1) = 3 )).
fof(l6_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v5_relat_1(B,A) & v1_finseq_1(B) ) => m2_finseq_1(B,A) ) ) )).
fof(l6_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( v1_fomodel2(C,A,B) => r1_tarski(k37_fomodel1(A),k9_xtuple_0(C)) ) ) ) ) )).
fof(l6_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( m2_funct_2(D,k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)),k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_fomodel4(B))) => ! [F] : ( v2_fomodel4(F,B) => ( k1_relset_1(k9_setfam_1(k1_fomodel4(B)),k4_fomodel4(B,C)) = k9_setfam_1(k1_fomodel4(B)) & r1_tarski(k10_xtuple_0(k4_fomodel4(B,C)),k1_relset_1(k9_setfam_1(k1_fomodel4(B)),k4_fomodel4(B,C))) & v1_funct_1(k8_funct_7(k4_fomodel4(B,C),A)) & v1_funct_2(k8_funct_7(k4_fomodel4(B,C),A),k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))) & m1_subset_1(k8_funct_7(k4_fomodel4(B,C),A),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & k9_xtuple_0(k8_funct_7(k4_fomodel4(B,C),A)) = k9_setfam_1(k1_fomodel4(B)) & k2_xboole_0(k1_relset_1(k9_setfam_1(k1_fomodel4(B)),k4_fomodel4(B,C)),k10_xtuple_0(k4_fomodel4(B,C))) = k9_setfam_1(k1_fomodel4(B)) & r2_tarski(E,k1_relset_1(k9_setfam_1(k1_fomodel4(B)),D)) & r2_tarski(F,k9_xtuple_0(k8_funct_7(D,A))) ) ) ) ) ) ) ) )).
fof(l6_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_unialg_2(B,A) => r1_tarski(k6_unialg_2(A),B) ) ) ) )).
fof(l6_friends1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r2_tarski(A,k4_finseq_1(B)) => k7_finseq_1(k1_rfinseq(A,B),k16_finseq_1(A,B)) = B ) ) ) )).
fof(l6_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ! [E] : ! [F] : r1_xboole_0(k2_msafree2(k13_gfacirc1(A,B,C)),k3_msafree2(k13_gfacirc1(D,E,F))) ) ) ) )).
fof(l6_gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( v2_connsp_1(k2_pre_topc(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))),k4_connsp_3(k15_euclid(2),k2_goboard9(A),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))),k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) & k4_connsp_3(k15_euclid(2),k2_goboard9(A),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))) = k2_goboard9(A) & v3_connsp_1(k4_connsp_3(k15_euclid(2),k2_goboard9(A),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))),k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) ) ) )).
fof(l6_graph_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(B)) ) => k1_funct_1(B,A) = k1_funct_1(k7_finseq_1(B,C),A) ) ) ) ) )).
fof(l6_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(B)) ) => k1_funct_1(B,A) = k1_funct_1(k7_finseq_1(B,C),A) ) ) ) ) )).
fof(l6_group_9,axiom,( ! [A] : ! [B] : ( v1_funct_1(k2_zfmisc_1(A,k1_tarski(k6_partfun1(B)))) & v1_funct_2(k2_zfmisc_1(A,k1_tarski(k6_partfun1(B))),A,k1_funct_2(B,B)) & m1_subset_1(k2_zfmisc_1(A,k1_tarski(k6_partfun1(B))),k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) )).
fof(l6_hilbert1,axiom,( ! [A] : ~ ( v5_hilbert1(A) & v1_xboole_0(A) ) )).
fof(l6_holder_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(l6_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) <=> r1_int_1(A,k4_xcmplx_0(B)) ) ) ) )).
fof(l6_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k3_finseq_1(k45_valued_1(A,B)) = k3_finseq_1(A) ) ) ) )).
fof(l6_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ~ ( r1_tarski(k22_pre_poly(k8_newton,A),k22_pre_poly(k8_newton,B)) & k5_relat_1(A,k22_pre_poly(k8_newton,A)) = k5_relat_1(B,k22_pre_poly(k8_newton,A)) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ~ ( k22_pre_poly(k8_newton,C) = k7_subset_1(k8_newton,k22_pre_poly(k8_newton,B),k22_pre_poly(k8_newton,A)) & r1_xboole_0(k22_pre_poly(k8_newton,A),k22_pre_poly(k8_newton,C)) & k5_relat_1(C,k22_pre_poly(k8_newton,C)) = k5_relat_1(B,k22_pre_poly(k8_newton,C)) & r8_pboole(k8_newton,k11_pre_poly(k8_newton,A,C),B) ) ) ) ) ) )).
fof(l6_integra4,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l6_jordan19,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(C,k1_matrix_0(k1_jordan8(A,B))),k2_matrix_0(k1_jordan8(A,B))) => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),C,k1_matrix_0(k1_jordan8(A,B)))) = k2_xcmplx_0(k9_pscomp_1(A),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A)),k1_newton(2,B)),k6_xcmplx_0(k1_matrix_0(k1_jordan8(A,B)),2))) ) ) ) ) )).
fof(l6_jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k3_tarski(k2_enumset1(A,B,C,D)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) )).
fof(l6_jordan1h,axiom,( r1_relat_2(k1_jordan1h,k1_numbers) )).
fof(l6_jordan22,axiom,( k1_relset_1(u1_struct_0(k15_euclid(2)),k5_pscomp_1) = u1_struct_0(k15_euclid(2)) )).
fof(l6_jordan24,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_int_1(C) => k2_complex2(B,A) = k2_complex2(B,k2_xcmplx_0(A,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C))) ) ) ) )).
fof(l6_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => v2_filter_2(k5_filter_2(A),A) ) )).
fof(l6_lattices,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_xboole_0)),k1_zfmisc_1(k1_xboole_0)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_lattices(k1_zfmisc_1(k1_xboole_0),A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_lattices(k1_zfmisc_1(k1_xboole_0),A))) => B = C ) ) ) )).
fof(l6_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( 1 = A => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k2_power(k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k1_series_1(k1_numbers,B,C),A)),D),k7_xcmplx_0(1,A)),k2_xcmplx_0(k2_power(k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(B,A)),D),k7_xcmplx_0(1,A)),k2_power(k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(C,A)),D),k7_xcmplx_0(1,A)))) ) ) ) ) ) )).
fof(l6_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),k8_cqc_lang(A,k8_cqc_lang(A,E,C),k8_cqc_lang(A,B,k8_cqc_lang(A,E,D)))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l6_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( r2_tarski(D,A) => k1_funct_1(k1_mboolean(A,k5_pboole(A,B,C)),D) = k1_zfmisc_1(k5_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))) ) ) ) )).
fof(l6_metric_1,axiom,( ! [A] : ( m1_subset_1(A,1) => ! [B] : ( m1_subset_1(B,1) => ! [C] : ( m1_subset_1(C,1) => r1_xxreal_0(k1_binop_1(k9_funct_5,A,C),k2_xcmplx_0(k1_binop_1(k9_funct_5,A,B),k1_binop_1(k9_funct_5,B,C))) ) ) ) )).
fof(l6_metrizts,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r2_borsuk_3(A,B) => r1_ordinal1(k2_waybel23(B),k2_waybel23(A)) ) ) ) )).
fof(l6_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m2_finseq_2(E,C,k4_finseq_2(A,C)) => ( r2_tarski(B,k2_finseq_1(A)) => k1_funct_1(k1_midsp_3(C,A,E,B,D),B) = D ) ) ) ) ) ) )).
fof(l6_modelc_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( A = k5_numbers | r1_xxreal_0(1,A) ) ) )).
fof(l6_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ~ ( r2_tarski(C,k6_dtconstr(k5_msafree(A,B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(B,D)) => C != k4_tarski(E,D) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(B,D)) => ( C = k4_tarski(E,D) => r2_tarski(C,k6_dtconstr(k5_msafree(A,B))) ) ) ) ) ) ) )).
fof(l6_ndiff_5,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l6_normsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_rlsub_1(o_0_5_normsp_1))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_rlsub_1(o_0_5_normsp_1))) => r1_xxreal_0(k3_funct_2(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k1_numbers,c2__normsp_1,k3_rlvect_1(k1_rlsub_1(o_0_5_normsp_1),A,B)),k3_real_1(k3_funct_2(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k1_numbers,c2__normsp_1,A),k3_funct_2(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k1_numbers,c2__normsp_1,B))) ) ) )).
fof(l6_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v5_metric_1(u1_metric_1(g1_metric_1(u1_struct_0(A),k1_normsp_2(A))),u1_struct_0(g1_metric_1(u1_struct_0(A),k1_normsp_2(A)))) ) )).
fof(l6_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( k8_nat_1(k4_ordinal1,C,k5_numbers) = k1_int_2(A) & k8_nat_1(k4_ordinal1,D,k5_numbers) = k1_int_2(B) & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_ordinal1,C,k1_nat_1(E,1)) = k8_nat_1(k4_ordinal1,D,E) & k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1)) = k4_nat_d(k8_nat_1(k4_ordinal1,C,E),k8_nat_1(k4_ordinal1,D,E)) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_ordinal1,D,E) != k5_numbers => k6_nat_d(k8_nat_1(k4_ordinal1,C,k5_numbers),k8_nat_1(k4_ordinal1,D,k5_numbers)) = k6_nat_d(k8_nat_1(k4_ordinal1,C,E),k8_nat_1(k4_ordinal1,D,E)) ) ) ) ) ) ) ) )).
fof(l6_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),c1__ortsp_1),c1__ortsp_1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),c1__ortsp_1),c1__ortsp_1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1))) => ( v2_rlvect_1(g1_symsp_1(A,c1__ortsp_1,c3__ortsp_1,c2__ortsp_1,B,C)) & v3_rlvect_1(g1_symsp_1(A,c1__ortsp_1,c3__ortsp_1,c2__ortsp_1,B,C)) & v4_rlvect_1(g1_symsp_1(A,c1__ortsp_1,c3__ortsp_1,c2__ortsp_1,B,C)) & v13_algstr_0(g1_symsp_1(A,c1__ortsp_1,c3__ortsp_1,c2__ortsp_1,B,C)) ) ) ) ) )).
fof(l6_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( k5_algstr_0(A,k8_group_1(A,B,F),k8_group_1(A,E,C)) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,B,D),k8_group_1(A,G,C)) = k4_struct_0(A) ) => ( C = k4_struct_0(A) | k5_algstr_0(A,k8_group_1(A,E,D),k8_group_1(A,G,F)) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(l6_partfun3,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l6_pdiff_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => k2_rfinseq(k1_numbers,A,k5_euclid(B)) = k5_euclid(k7_nat_d(B,A)) ) ) ) )).
fof(l6_petri_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( r1_tarski(B,C) => r1_tarski(k2_petri_2(A,B),k9_setfam_1(k4_partfun1(C,A))) ) ) )).
fof(l6_petri_3,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => B = C ) ) ) )).
fof(l6_polynom7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k15_pre_poly(k1_xboole_0),u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k1_xboole_0),u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_funct_2(k15_pre_poly(k1_xboole_0),u1_struct_0(A),k6_domain_1(k15_pre_poly(k1_xboole_0),k16_pre_poly(k1_xboole_0)),u1_struct_0(A),B,k8_funcop_1(u1_struct_0(A),k6_domain_1(k15_pre_poly(k1_xboole_0),k16_pre_poly(k1_xboole_0)),C)) ) ) ) )).
fof(l6_polyred,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ( ( k3_finseq_1(B) = k2_xcmplx_0(D,1) & C = k2_partfun1(k4_ordinal1,u1_struct_0(A),B,k2_finseq_1(D)) ) => k4_rlvect_1(A,B) = k3_rlvect_1(A,k4_rlvect_1(A,C),k7_partfun1(u1_struct_0(A),B,k3_finseq_1(B))) ) ) ) ) ) )).
fof(l6_poset_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v5_orders_3(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( k1_funct_1(k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),D,A),D),C) = k3_funct_2(u1_struct_0(B),u1_struct_0(B),D,k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),D,A),C)) & k1_funct_1(k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),D,k1_abian(u1_struct_0(B),D,A)),C) = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),D,A),k3_funct_2(u1_struct_0(B),u1_struct_0(B),D,C)) ) ) ) ) ) )).
fof(l6_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,B,C,E) & r1_collsp(A,B,C,D) & r1_collsp(A,B,E,F) & B != D & D = F ) ) ) ) ) ) ) )).
fof(l6_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ( r3_binop_1(u1_struct_0(A),k4_struct_0(A),u1_algstr_0(A)) => v4_rlvect_1(A) ) ) )).
fof(l6_qmax_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( r2_tarski(A,k12_prob_1) => ( ( r2_tarski(k5_numbers,A) => k1_funct_1(c2__qmax_1,A) = 1 ) & ( ~ r2_tarski(k5_numbers,A) => k1_funct_1(c2__qmax_1,A) = k5_numbers ) ) ) ) )).
fof(l6_ramsey_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ( k4_card_1(B) = A => k3_group_10(B,A) = k1_tarski(B) ) ) ) )).
fof(l6_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ~ ( r2_mesfunc6(A,B,C) & ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ~ ( k1_relset_1(A,C) = k3_tarski(k2_relset_1(B,D)) & k4_finseq_1(D) = k4_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => ! [G] : ( r2_tarski(G,k1_funct_1(D,F)) => k12_supinf_2(C,G) = k12_supinf_2(E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(l6_rat_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ( A = k7_xcmplx_0(C,B) => r2_hidden(A,k3_numbers) ) ) ) )).
fof(l6_real_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_real_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_real_lat)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_real_lat)) => k2_lattices(k3_real_lat,A,k2_lattices(k3_real_lat,B,C)) = k2_lattices(k3_real_lat,k2_lattices(k3_real_lat,A,B),C) ) ) ) )).
fof(l6_realset2,axiom,( k10_subset_1(1,2) = 1 )).
fof(l6_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) & k3_finseq_1(B) = k4_card_1(A) & v2_rearran1(B) & v1_rearran1(B) ) ) )).
fof(l6_reloc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_ami_3)) & v1_funct_1(B) & v1_finset_1(B) & ~ v2_compos_1(B,k1_ami_3) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(C) & v4_extpro_1(C,k5_card_1(2),k1_ami_3,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(C,D) & r1_tarski(k9_memstr_0(k5_card_1(2),k1_ami_3,C,A),E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_ami_3)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r1_tarski(B,F) & r1_tarski(k6_compos_1(k1_ami_3,B,A),G) ) => ! [H] : ( v7_ordinal1(H) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H)),A) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) & k8_compos_0(u1_compos_1(k1_ami_3),k3_extpro_1(k5_card_1(2),k1_ami_3,F,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H)),A) = k3_extpro_1(k5_card_1(2),k1_ami_3,G,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) & k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,k1_funct_4(D,k6_memstr_0(k5_card_1(2),k1_ami_3,E)),H)) = k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l6_rfinseq,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ~ ( k4_card_1(k9_xtuple_0(k5_relat_1(C,B))) = A & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ r2_classes1(k5_relat_1(C,B),D) ) ) ) ) => ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ~ ( k4_card_1(k9_xtuple_0(k5_relat_1(C,B))) = k1_nat_1(A,1) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ r2_classes1(k5_relat_1(C,B),D) ) ) ) ) ) ) )).
fof(l6_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => v1_ringcat1(k3_struct_0(A),A,A) ) )).
fof(l6_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k7_subset_1(u1_struct_0(A),k5_rusub_4(A,B,D),k5_rusub_4(A,C,D)) = k5_rusub_4(A,k7_subset_1(u1_struct_0(A),B,C),D) ) ) ) ) )).
fof(l6_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => k1_rlsub_2(A,B,C) = k1_rlsub_2(A,C,B) ) ) ) )).
fof(l6_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => m1_subset_1(a_3_0_rltopsp1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(l6_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => k1_rmod_3(A,B,C,D) = k1_rmod_3(A,B,D,C) ) ) ) ) )).
fof(l6_roughs_1,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_orders_3(A) => v1_roughs_1(A) ) ) )).
fof(l6_rsspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k3_xcmplx_0(k6_xcmplx_0(k8_nat_1(k1_numbers,B,D),A),k6_xcmplx_0(k8_nat_1(k1_numbers,B,D),A)) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k3_xcmplx_0(k6_xcmplx_0(k1_seq_2(B),A),k6_xcmplx_0(k1_seq_2(B),A)) ) ) ) ) ) ) )).
fof(l6_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => k1_rusub_2(A,B,C) = k1_rusub_2(A,C,B) ) ) ) )).
fof(l6_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_ami_3)) ) => ( k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B)) = C => ( ( k3_compos_1(k1_ami_3,A,C) != k2_ami_3(E,F) & k3_compos_1(k1_ami_3,A,C) != k3_ami_3(E,F) & k3_compos_1(k1_ami_3,A,C) != k4_ami_3(E,F) & k3_compos_1(k1_ami_3,A,C) != k5_ami_3(E,F) & ~ ( E != F & k3_compos_1(k1_ami_3,A,C) = k6_ami_3(E,F) ) ) | ( k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1)) = k2_extpro_1(k5_card_1(2),k1_ami_3,k3_compos_1(k1_ami_3,A,C),k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B)) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1))) = k1_nat_1(C,1) ) ) ) ) ) ) ) ) ) )).
fof(l6_scmfsa7b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( v1_int_1(E) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k1_afinsq_1(k2_scmfsa_7(D,E)),F) => k1_funct_1(k2_scmfsa_7(D,E),F) = k3_compos_1(k1_scmfsa_2,C,k1_nat_1(A,F)) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,k1_afinsq_1(k2_scmfsa_7(D,E))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,F)) = k1_nat_1(A,F) ) ) ) ) ) ) ) ) )).
fof(l6_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(3)) = C ) => ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(1)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(1)),k1_funct_1(B,k1_scmp_gcd(C))) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(2)) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(2)),1) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(3)) = k1_nat_1(C,1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(D,3) => k1_funct_1(k6_scmpds_4(k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(D)) = k1_funct_1(B,k1_scmp_gcd(D)) ) ) ) ) ) ) ) )).
fof(l6_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,k1_nat_1(k3_xcmplx_0(2,A),1)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(A,2)),k3_xcmplx_0(3,A)),1)),k2_nat_1(k11_newton(k1_nat_1(A,1),3),30)) = k3_xcmplx_0(k2_nat_1(k1_nat_1(A,2),k1_nat_1(k2_nat_1(2,k1_nat_1(A,1)),1)),k6_xcmplx_0(k1_nat_1(k2_nat_1(3,k11_newton(k1_nat_1(A,1),2)),k2_nat_1(3,k1_nat_1(A,1))),1)) ) )).
fof(l6_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_newton(k2_xcmplx_0(A,B),3) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k3_xcmplx_0(k3_xcmplx_0(3,k1_square_1(A)),B)),k3_xcmplx_0(k3_xcmplx_0(3,A),k1_square_1(B))),k1_newton(B,3)) ) ) )).
fof(l6_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( B != 1 => k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(B,k6_xcmplx_0(1,k1_newton(B,A))),k1_newton(k6_xcmplx_0(1,B),2)),k7_xcmplx_0(k3_xcmplx_0(A,k1_newton(B,k1_nat_1(A,1))),k6_xcmplx_0(1,B))),k3_xcmplx_0(A,k1_newton(B,k1_nat_1(A,1)))),k1_newton(B,k1_nat_1(A,1))) = k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(B,k6_xcmplx_0(1,k1_newton(B,k1_nat_1(A,1)))),k1_newton(k6_xcmplx_0(1,B),2)),k7_xcmplx_0(k3_xcmplx_0(k1_nat_1(A,1),k1_newton(B,k1_nat_1(A,2))),k6_xcmplx_0(1,B))) ) ) ) )).
fof(l6_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_square_1(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)),k3_xcmplx_0(k3_xcmplx_0(2,A),B)),k3_xcmplx_0(k3_xcmplx_0(2,B),C)),k3_xcmplx_0(k3_xcmplx_0(2,C),A)) ) ) ) )).
fof(l6_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_scmfsa7b(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(D,k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(B,D,A) & r5_scmfsa7b(C,k1_scmfsa6b(B,D,A),A) & r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)),D) & r1_tarski(k2_scmfsa6a(B,C),A) ) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1))) = k4_card_1(B) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D)))) & r1_tarski(k6_compos_1(k1_scmfsa_2,C,k4_card_1(B)),A) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1)),k4_scmfsa_2(k5_numbers)) = 1 & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D) & k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D) = k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,B),C),k1_scmfsa_m(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D)))) & ( v1_scmfsa7b(C) => k1_funct_1(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) )).
fof(l6_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_partfun1(k2_numbers,k4_sin_cos3,A) = k7_xcmplx_0(k2_xcmplx_0(k15_sin_cos(A),k15_sin_cos(k4_xcmplx_0(A))),2) ) )).
fof(l6_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k6_xcmplx_0(A,B) != k5_numbers & k2_sin_cos2(k6_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2))) = k5_numbers ) ) ) )).
fof(l6_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k2_rcomp_1(k5_numbers,k28_sin_cos)) => k1_fdiff_1(k27_sin_cos,A) = k4_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k1_funct_1(k16_sin_cos,A)))) ) ) )).
fof(l6_sprect_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & k2_goboard9(A) = k3_goboard9(A) ) ) )).
fof(l6_srings_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( ( r1_tarski(D,C) & m1_eqrel_1(E,k6_subset_1(C,D)) ) => ( D = k1_xboole_0 | m1_eqrel_1(k2_xboole_0(k1_tarski(D),E),C) ) ) ) ) ) ) )).
fof(l6_srings_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( k3_tarski(C) = A <=> m1_setfam_1(C,A) ) ) ) )).
fof(l6_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_tarski(k5_numbers)) => k2_binop_1(u1_struct_0(A),k1_tarski(k5_numbers),k1_tarski(k5_numbers),B,C,D) = c2__symsp_1 ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)))) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_symsp_1(D,A) ) => ( D = g1_symsp_1(A,k1_tarski(k5_numbers),c3__symsp_1,c2__symsp_1,B,C) => ( v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) ) ) ) ) ) ) ) )).
fof(l6_taxonom2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ! [D] : ! [E] : ( ( r2_tarski(C,B) & r2_tarski(D,B) & r2_tarski(E,C) & r2_tarski(E,D) ) => C = D ) ) ) )).
fof(l6_taylor_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k9_xtuple_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) = A ) ) )).
fof(l6_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( r2_tarski(C,k1_relat_1(B)) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) ) ) ) )).
fof(l6_topalg_2,axiom,( k9_xtuple_0(k3_struct_0(k5_topmetr)) = u1_struct_0(k5_topmetr) )).
fof(l6_topalg_5,axiom,( m1_subset_1(k5_numbers,u1_struct_0(k5_topmetr)) & m1_subset_1(1,u1_struct_0(k5_topmetr)) )).
fof(l6_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v7_ordinal1(k1_xxreal_3(k2_topdim_1(A,B),1)) ) ) )).
fof(l6_topgen_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) <=> ( v3_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) => ( u1_struct_0(A) = u1_struct_0(B) & r1_tarski(u1_pre_topc(A),u1_pre_topc(B)) ) ) ) ) )).
fof(l6_topgen_6,axiom,( u1_struct_0(k2_topgen_3) = k1_numbers )).
fof(l6_topreal2,axiom,( k17_euclid(k19_euclid(k5_numbers,1)) = k5_numbers )).
fof(l6_toprealb,axiom,( r1_xxreal_0(k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)),1) )).
fof(l6_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,A) & v3_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_funct_2(A,A,k1_transgeo(A,C,B),k1_transgeo(A,D,B)) => r2_funct_2(A,A,C,D) ) ) ) ) ) )).
fof(l6_trees_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ( ~ r1_xxreal_0(k3_finseq_1(C),A) => r2_tarski(k1_funct_1(C,k1_nat_1(A,1)),B) ) ) ) )).
fof(l6_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => k1_funct_1(k3_twoscomp,k10_finseq_1(A,B)) = k1_binarith(k8_margrel1(A),k8_margrel1(B)) ) ) )).
fof(l6_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v4_pre_topc(k5_waybel_0(A,B),A) ) ) )).
fof(l6_waybel33,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,B) ) => ( ( g1_orders_2(u1_struct_0(C),u1_orders_2(C)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) & r1_funct_2(u1_struct_0(C),u1_struct_0(A),u1_struct_0(D),u1_struct_0(B),u1_waybel_0(A,C),u1_waybel_0(B,D)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( E = F => r1_tarski(a_3_2_waybel33(A,C,E),a_3_2_waybel33(B,D,F)) ) ) ) ) ) ) ) ) )).
fof(l6_wsierp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,C) ) | ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(C,B) ) ) => ( ~ r1_xxreal_0(k2_xcmplx_0(A,B),C) & ~ r1_xxreal_0(B,k6_xcmplx_0(C,A)) ) ) ) ) ) )).
fof(l6_xcmplx_0,axiom,( r2_tarski(1,k4_ordinal1) )).
fof(l6_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k2_xcmplx_0(A,C),k2_xcmplx_0(B,C)) ) ) ) ) )).
fof(l6_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k2_xcmplx_0(A,C),k2_xcmplx_0(B,D)) ) ) ) ) ) )).
fof(l6_yellow17,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ! [E] : ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_funct_1(A,D))) => ( ( r2_tarski(B,k4_card_3(A)) & r2_tarski(k1_funct_7(B,C,E),k8_relat_1(k12_card_3(A,D),F)) ) => ( C = D | r2_tarski(B,k8_relat_1(k12_card_3(A,D),F)) ) ) ) ) ) )).
fof(l6_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v7_waybel_0(A) <=> v7_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(l6_zf_fund2,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(A)) & r1_zf_model(B,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(A,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) ) => ( r2_tarski(D,k4_zf_lang1(A)) | ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(k6_zf_lang1(A,k2_zf_lang(k5_numbers),D))) & r1_zf_model(B,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(k6_zf_lang1(A,k2_zf_lang(k5_numbers),D),k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(B,B,k1_zfmodel1(A,B,C),k1_zfmodel1(k6_zf_lang1(A,k2_zf_lang(k5_numbers),D),B,C)) ) ) ) ) ) ) ) )).
fof(l6_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => v1_zmodul06(k4_struct_0(A),A) ) )).
fof(l70_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ r1_aff_1(A,B,C,D) & r2_analoaf(A,B,C,E,F) & r2_tarski(B,G) & r2_tarski(C,G) & r2_tarski(D,G) & v1_aff_4(G,A) & r2_tarski(E,G) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_analoaf(A,B,D,E,H) & r2_analoaf(A,C,D,F,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l70_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => v2_anproj_2(k5_anproj_1(A)) ) )).
fof(l70_arytm_2,axiom,( ! [A] : ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) => ( A = a_0_2_arytm_2 => k6_arytm_2(A,B) = B ) ) ) )).
fof(l70_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k5_numbers,A) => k3_square_1(A) = k2_power(A,k7_xcmplx_0(1,2)) ) ) )).
fof(l70_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_bcialg_1(B,A) => ! [C] : ( ( v12_bcialg_1(C,A) & m2_bcialg_1(C,A) ) => ! [D] : ( m5_bcialg_2(D,A,C) => ! [E] : ( m2_subset_1(E,u1_struct_0(A),k6_bcialg_6(A,B,C,D)) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(E,k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),D,F)) ) ) ) ) ) ) )).
fof(l70_card_2,axiom,( ! [A] : ( v1_finset_1(A) => ( ! [B] : ! [C] : ~ ( r2_tarski(B,A) & r2_tarski(C,A) & ~ r1_tarski(B,C) & ~ r1_tarski(C,B) ) => ( A = k1_xboole_0 | r2_tarski(k3_tarski(A),A) ) ) ) )).
fof(l70_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( ! [H] : ( v7_ordinal1(H) => ( ( ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),F,H))) & r2_tarski(k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,H),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H)))),k9_xtuple_0(B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k1_nat_1(H,1)) = k1_funct_4(k8_nat_1(k2_comput_1(k4_ordinal1),F,H),k17_funcop_1(k2_funct_7(k4_ordinal1,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,k1_nat_1(H,1)),k1_funct_1(B,k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,H),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H))))))) ) & ( ~ ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),F,H))) & r2_tarski(k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,H),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,H)))),k9_xtuple_0(B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k1_nat_1(H,1)) = k8_nat_1(k2_comput_1(k4_ordinal1),F,H) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E))) & r2_tarski(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),G,H))) & r2_tarski(k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),G,H),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H)))),k9_xtuple_0(B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),G,k1_nat_1(H,1)) = k1_funct_4(k8_nat_1(k2_comput_1(k4_ordinal1),G,H),k17_funcop_1(k2_funct_7(k4_ordinal1,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,k1_nat_1(H,1)),k1_funct_1(B,k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),G,H),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H))))))) ) & ( ~ ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E))) & r2_tarski(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),G,H))) & r2_tarski(k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),G,H),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,H)))),k9_xtuple_0(B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),G,k1_nat_1(H,1)) = k8_nat_1(k2_comput_1(k4_ordinal1),G,H) ) ) ) ) => ( ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1))),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) & k8_nat_1(k2_comput_1(k4_ordinal1),F,k5_numbers) != k8_funcop_1(k4_ordinal1,k1_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,k5_numbers)),k1_recdef_1(A,k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1))))) ) | ( ~ ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1))),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) & k8_nat_1(k2_comput_1(k4_ordinal1),F,k5_numbers) != k1_xboole_0 ) | ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E))) & r2_tarski(k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E)),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) & k8_nat_1(k2_comput_1(k4_ordinal1),G,k5_numbers) != k8_funcop_1(k4_ordinal1,k1_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E),D,k5_numbers)),k1_recdef_1(A,k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E)))) ) | ( ~ ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E))) & r2_tarski(k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E)),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) & k8_nat_1(k2_comput_1(k4_ordinal1),G,k5_numbers) != k1_xboole_0 ) | r2_funct_2(k4_ordinal1,k2_comput_1(k4_ordinal1),F,G) ) ) ) ) ) ) ) ) ) )).
fof(l70_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,5),k7_xcmplx_0(k3_xcmplx_0(k3_square_1(5),k6_xcmplx_0(k3_square_1(5),1)),5)) )).
fof(l70_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( r2_tarski(A,k18_finseq_1(B)) & r1_tarski(k10_xtuple_0(B),k9_xtuple_0(B)) & ! [C] : ( v7_ordinal1(C) => ~ r2_tarski(A,k8_funct_7(B,C)) ) ) ) )).
fof(l70_fomodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k8_relset_1(k4_finseq_2(2,A),k5_margrel1,k2_fomodel2(A),k6_domain_1(k4_ordinal1,1)) = k7_relset_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A),k11_monoid_0(A),k3_fomodel2(k4_finseq_2(1,A))) ) )).
fof(l70_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k36_gfacirc1(A,B,C)) & H = k1_funct_1(F,E) ) => k1_funct_1(k6_circuit2(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k4_gfacirc1)) = k2_binarith(G,k8_margrel1(H)) ) ) ) ) ) ) ) ) )).
fof(l70_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_glib_001(A,k9_glib_001(A,B,C,D)) = k3_glib_001(A,B) & k4_glib_001(A,k9_glib_001(A,B,C,D)) = k4_glib_001(A,B) ) ) ) ) ) )).
fof(l70_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => m1_group_2(k8_group_4(A,k8_group_4(A,B,C),D),k8_group_4(A,B,k8_group_4(A,C,D))) ) ) ) ) )).
fof(l70_hfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k3_rfunct_1(k1_numbers,k1_numbers,A,A) = k8_funcop_1(k4_ordinal1,k4_xboole_0(k1_relset_1(k1_numbers,A),k8_relset_1(k1_numbers,k1_numbers,A,k1_tarski(k5_numbers))),1) ) )).
fof(l70_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),k4_hilbert1(k4_hilbert1(A,C),B)),k6_hilbert1) ) ) ) )).
fof(l70_hurwitz,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ! [E] : ( m1_subset_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k1_numbers) => ( ( A = k2_xcmplx_0(C,k3_xcmplx_0(D,k7_complex1)) & B = k2_xcmplx_0(E,k3_xcmplx_0(F,k7_complex1)) ) => ( r1_xxreal_0(k5_numbers,E) | ( ~ ( ~ r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(k9_complex1(k2_xcmplx_0(A,k8_complex1(B))),k9_complex1(k6_xcmplx_0(A,B))) ) & ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,B)),k9_complex1(k2_xcmplx_0(A,k8_complex1(B)))) ) & ( C = k5_numbers => k9_complex1(k6_xcmplx_0(A,B)) = k9_complex1(k2_xcmplx_0(A,k8_complex1(B))) ) ) ) ) ) ) ) ) ) ) )).
fof(l70_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v4_lattices(A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k1_lattices(A,B,C) <=> ( r1_lattices(A,B,D) & r1_lattices(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_lattices(A,B,E) & r1_lattices(A,C,E) ) => r1_lattices(A,D,E) ) ) ) ) ) ) ) ) ) )).
fof(l70_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k4_card_1(C))) & k12_matrix_3(k4_card_1(C),A,k7_matrix13(u1_struct_0(A),B,C,D)) != k4_struct_0(A) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k4_card_1(C))) & k12_matrix_3(k7_nat_d(k4_card_1(C),1),A,k2_laplace(E,F,k4_card_1(C),A,k7_matrix13(u1_struct_0(A),B,C,D))) != k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(l70_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_algstr_0(A,D,E)) = k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) )).
fof(l70_modal_1,axiom,( ! [A] : ( m1_subset_1(A,k3_modal_1) => k17_modal_1 != k16_modal_1(A) ) )).
fof(l70_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( ~ r1_xxreal_0(1,k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(B,A)),k2_xcmplx_0(D,1)),k2_newton(k2_xcmplx_0(D,1)))) & ~ r1_xxreal_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(B,A)),k2_xcmplx_0(D,1)),k2_newton(k2_xcmplx_0(D,1))),k5_numbers) ) ) ) ) ) ) )).
fof(l70_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k4_pepin(A),1) ) )).
fof(l70_prefer_1,axiom,( ! [A] : ( v1_xboole_0(A) => k3_prefer_1(A) = k2_prefer_1(A) ) )).
fof(l70_rinfsup1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v7_valued_0(B) => k1_funct_1(k3_rinfsup1(B),A) = k1_funct_1(B,A) ) ) ) )).
fof(l70_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)),B,A),k4_scmfsa_2(k1_nat_1(2,1))) = k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))) ) ) )).
fof(l70_simplex0,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & l1_pre_topc(B) ) => ~ ( r1_xxreal_0(k9_simplex0(1),A) & r1_xxreal_0(A,k6_simplex0(B)) & ! [C] : ( ( v3_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => k1_card_1(C) != k1_xxreal_3(A,1) ) ) ) ) )).
fof(l70_sin_cos,axiom,( v1_funct_1(c2__sin_cos) & v1_funct_2(c2__sin_cos,k4_ordinal1,k4_ordinal1) & v5_valued_0(c2__sin_cos) & m1_subset_1(c2__sin_cos,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) )).
fof(l70_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(k7_partfun1(k2_numbers,k3_sin_cos3,A),k7_partfun1(k2_numbers,k3_sin_cos3,A)) = k6_xcmplx_0(k3_xcmplx_0(k7_partfun1(k2_numbers,k4_sin_cos3,A),k7_partfun1(k2_numbers,k4_sin_cos3,A)),1) ) )).
fof(l70_srings_2,axiom,( k6_subset_1(k1_enumset1(2,3,4),k1_tarski(3)) = k2_tarski(2,4) )).
fof(l70_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k16_substut1(A),k9_qc_lang1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k16_substut1(A),k9_qc_lang1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k16_substut1(A),k9_qc_lang1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k16_substut1(A),k9_qc_lang1(A)))) ) => ( ( ! [D] : ( m1_subset_1(D,k16_substut1(A)) => ( ( v2_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k5_cqc_lang(A) ) & ( v4_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k10_qc_lang1(A,k16_qc_lang1(A,k18_substut1(A,D)),k3_substut1(A,k26_substut1(A,D),k19_substut1(A,D))) ) & ( v5_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k13_qc_lang1(A,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k27_substut1(A,D))) ) & ( v6_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k14_qc_lang1(A,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k28_substut1(A,D)),k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k29_substut1(A,D))) ) & ( v7_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k36_substut1(A,D,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k31_substut1(A,D))) ) ) ) & ! [D] : ( m1_subset_1(D,k16_substut1(A)) => ( ( v2_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k5_cqc_lang(A) ) & ( v4_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k10_qc_lang1(A,k16_qc_lang1(A,k18_substut1(A,D)),k3_substut1(A,k26_substut1(A,D),k19_substut1(A,D))) ) & ( v5_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k13_qc_lang1(A,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k27_substut1(A,D))) ) & ( v6_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k14_qc_lang1(A,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k28_substut1(A,D)),k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k29_substut1(A,D))) ) & ( v7_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k36_substut1(A,D,k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k31_substut1(A,D))) ) ) ) ) => r2_funct_2(k16_substut1(A),k9_qc_lang1(A),B,C) ) ) ) ) )).
fof(l70_topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & v5_pre_topc(B,k17_borsuk_1,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & v5_pre_topc(C,k17_borsuk_1,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) ) => v5_pre_topc(k7_topalg_1(A,B,C),k2_borsuk_1(k17_borsuk_1,k17_borsuk_1),k15_euclid(A)) ) ) ) )).
fof(l70_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k3_zfmisc_1(u2_turing_1(k19_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k19_turing_1)))) => ! [B] : ! [C] : ! [D] : ( A = k3_xtuple_0(B,C,D) => ( B = 3 | k8_turing_1(k19_turing_1,A) = k3_xtuple_0(k1_mcart_1(u2_turing_1(k19_turing_1),u1_turing_1(k19_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k19_turing_1,A)),k2_xcmplx_0(k6_turing_1(k19_turing_1,A),k5_turing_1(k19_turing_1,k7_turing_1(k19_turing_1,A))),k4_turing_1(k19_turing_1,k3_mcart_1(u2_turing_1(k19_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k19_turing_1)),A),k6_turing_1(k19_turing_1,A),k2_mcart_1(u2_turing_1(k19_turing_1),u1_turing_1(k19_turing_1),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(k19_turing_1,A)))) ) ) ) )).
fof(l70_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => k5_waybel11(A) = k5_waybel11(B) ) ) ) )).
fof(l70_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k5_xcmplx_0(A) = k5_xcmplx_0(B) => A = B ) ) ) )).
fof(l71_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_anproj_2(A) => v4_collsp(k5_anproj_1(A)) ) ) )).
fof(l71_asympt_1,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_xxreal_0(A,B) & r1_xxreal_0(k6_xcmplx_0(B,k3_xcmplx_0(k3_square_1(B),k3_power(2,B))),k7_xcmplx_0(B,2)) ) ) ) )).
fof(l71_bcialg_4,axiom,( v5_bcialg_4(k2_bcialg_4) & v6_bcialg_4(k2_bcialg_4) & v7_bcialg_4(k2_bcialg_4) & v5_bcialg_1(k2_bcialg_4) & v2_bcialg_4(k2_bcialg_4) )).
fof(l71_borsuk_5,axiom,( r1_tarski(k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k3_borsuk_5(2,4),k1_seq_4(4)),k1_seq_4(5)),k2_rcomp_1(1,k1_xxreal_0)) )).
fof(l71_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => v8_clvect_1(k9_cc0sp2(A)) ) )).
fof(l71_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(C)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ! [G] : ( v7_ordinal1(G) => ( ( ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),F,G))) & r2_tarski(k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G)))),k9_xtuple_0(B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k1_nat_1(G,1)) = k1_funct_4(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k17_funcop_1(k2_funct_7(k4_ordinal1,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,k1_nat_1(G,1)),k1_funct_1(B,k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G))))))) ) & ( ~ ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),F,G))) & r2_tarski(k7_finseq_1(k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G),k12_finseq_1(k4_ordinal1,k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,G),k1_funct_7(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,G)))),k9_xtuple_0(B)) ) => k8_nat_1(k2_comput_1(k4_ordinal1),F,k1_nat_1(G,1)) = k8_nat_1(k2_comput_1(k4_ordinal1),F,G) ) ) ) => ( ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1))),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) & k8_nat_1(k2_comput_1(k4_ordinal1),F,k5_numbers) != k8_funcop_1(k4_ordinal1,k1_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),D,k5_numbers)),k1_recdef_1(A,k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1))))) ) | ( ~ ( r2_tarski(D,k4_finseq_1(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)))) & r2_tarski(k2_finseq_3(D,k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1))),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) & k8_nat_1(k2_comput_1(k4_ordinal1),F,k5_numbers) != k1_xboole_0 ) | ( k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,k1_nat_1(E,1)),k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E)) = k1_recdef_1(k8_nat_1(k2_comput_1(k4_ordinal1),F,E),k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,E)) & ~ r2_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),F,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(l71_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(6,10),k3_xcmplx_0(k6_xcmplx_0(k3_square_1(5),1),k7_xcmplx_0(k3_square_1(5),5))) )).
fof(l71_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(C,k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k9_filter_0(A,B),D)) <=> r2_tarski(k7_filter_0(A,C,D),B) ) ) ) ) ) )).
fof(l71_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(k2_zfmisc_1(k1_tarski(A),k10_xtuple_0(B)),k9_xtuple_0(C)) => k9_xtuple_0(k5_funcop_1(C,A,B)) = k4_finseq_1(B) ) ) ) )).
fof(l71_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) => k18_finseq_1(A) = k3_tarski(a_1_0_fomodel0(A)) ) ) )).
fof(l71_fomodel1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fomodel1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) ) => ( k2_fomodel1(k40_fomodel1(B,A)) = k2_xboole_0(k8_relat_1(k5_relat_1(B,k6_subset_1(k9_xtuple_0(B),k15_fomodel1(A))),k6_domain_1(k4_ordinal1,k5_numbers)),k2_fomodel1(A)) & k5_relset_1(k6_subset_1(u1_struct_0(k40_fomodel1(B,A)),k1_tarski(u3_struct_0(k40_fomodel1(B,A)))),k4_numbers,u1_fomodel1(k40_fomodel1(B,A)),k9_fomodel1(A)) = k5_relset_1(k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A))),k4_numbers,u1_fomodel1(A),k9_fomodel1(A)) ) ) ) )).
fof(l71_fomodel3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [F] : ( m2_funct_2(F,k30_fomodel2(B),k30_fomodel2(B),k9_funct_2(k30_fomodel2(B),k30_fomodel2(B))) => ( v4_fomodel2(k28_fomodel3(B,C,D,A,F,E),B) & m2_subset_1(k28_fomodel3(B,C,D,A,F,E),k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) ) ) ) ) ) ) )).
fof(l71_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k37_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k3_gfacirc1)) = k9_margrel1(k2_binarith(k2_binarith(k8_margrel1(G),H),k8_margrel1(I)),k8_margrel1(K)) & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(E,D),k2_twoscomp)) = k9_margrel1(k8_margrel1(K),J) & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1)) = k9_margrel1(J,k2_binarith(k2_binarith(k8_margrel1(G),H),k8_margrel1(I))) & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l71_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k1_relset_1(k4_ordinal1,k9_glib_001(A,B,C,D))) & ~ r2_tarski(E,k2_finseq_1(C)) & ~ ( r1_xxreal_0(C,E) & r1_xxreal_0(E,k3_finseq_1(k9_glib_001(A,B,C,D))) ) ) ) ) ) ) ) )).
fof(l71_hfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k8_relset_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,A)),k1_tarski(k5_numbers)) = k8_relset_1(k1_numbers,k1_numbers,A,k1_tarski(k5_numbers)) ) )).
fof(l71_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,C),B),k4_hilbert1(k4_hilbert1(C,A),B)),k6_hilbert1) ) ) ) )).
fof(l71_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_sin_cos2,A)) ) )).
fof(l71_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v4_lattices(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_lattices(A,k1_lattices(A,B,C),D) = k1_lattices(A,B,k1_lattices(A,C,D)) ) ) ) ) ) )).
fof(l71_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ r1_nat_d(k1_newton(B,2),k6_moebius1(A)) ) ) )).
fof(l71_normform,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(A))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k7_normform(A))) => ~ ( r2_tarski(B,k10_normform(A,C,D)) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(E,D) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),E,B) ) ) ) ) ) ) )).
fof(l71_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,C),D))) ) ) ) ) )).
fof(l71_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( ( r2_wellord1(C,A) & r1_tarski(B,A) ) => r2_wellord1(C,B) ) ) )).
fof(l71_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => k4_nat_d(k7_nat_d(k4_pepin(A),1),2) = k5_numbers ) )).
fof(l71_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) & r1_xxreal_0(2,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) ) => ( k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k4_scmfsa_2(k1_nat_1(2,1))) = k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1) & r2_classes1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers))) & ( k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)) ) & ( k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) ) & ( k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)) | k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)) ) & ! [C] : ( r2_tarski(C,k4_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) => ( C = k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1) | C = k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))) | k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),C) ) ) & ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & C = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),1)) & D = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2))),B,A),k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & r1_xxreal_0(D,C) ) ) ) ) ) ) )).
fof(l71_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k2_comseq_3(B,k3_xcmplx_0(2,A)) = k2_comseq_3(k2_comseq_3(B,A),2) & k2_comseq_3(k4_xcmplx_0(1),k3_xcmplx_0(2,A)) = 1 & k2_comseq_3(k4_xcmplx_0(1),k1_nat_1(k3_xcmplx_0(2,A),1)) = k4_xcmplx_0(1) ) ) ) ) ) ) )).
fof(l71_srings_2,axiom,( k6_subset_1(k1_enumset1(2,3,4),k1_tarski(4)) = k2_tarski(2,3) )).
fof(l71_topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_borsuk_2(D,k15_euclid(A),B,C) => ! [E] : ( m1_borsuk_2(E,k15_euclid(A),B,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k7_topalg_1(A,D,E),F,k5_numbers) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A)),D,F) & k1_binop_1(k7_topalg_1(A,D,E),F,1) = k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A)),E,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(k17_borsuk_1)) => ( k1_binop_1(k7_topalg_1(A,D,E),k5_numbers,G) = B & k1_binop_1(k7_topalg_1(A,D,E),1,G) = C ) ) ) ) ) ) ) ) ) )).
fof(l71_toprealb,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_topalg_2))) => ( v1_funct_1(k2_partfun1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A)) & v1_funct_2(k2_partfun1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A),u1_struct_0(k1_pre_topc(k2_topalg_2,A)),u1_struct_0(k8_toprealb(2))) & m1_subset_1(k2_partfun1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,A)),u1_struct_0(k8_toprealb(2))))) ) ) )).
fof(l71_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v5_transgeo(D,A) => ( r3_diraf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),C) | ( r2_analoaf(A,B,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) & r2_analoaf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) ) ) ) ) ) ) ) )).
fof(l71_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ! [C] : ( m1_subset_1(C,u2_turing_1(A)) => ! [D] : ( m1_subset_1(D,k4_numbers) => ! [E] : ( m2_funct_2(E,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( G = D & m1_subset_1(k5_numbers,u1_turing_1(A)) & B = k4_domain_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),C,D,E) & k1_funct_1(u3_turing_1(A),k1_domain_1(u2_turing_1(A),k4_ordinal1,C,1)) = k4_domain_1(u2_turing_1(A),k4_ordinal1,k4_ordinal1,C,k5_numbers,1) & C != u5_turing_1(A) & ! [H] : ( v1_int_1(H) => ( r1_xxreal_0(G,H) => ( r1_xxreal_0(k1_nat_1(G,F),H) | k1_funct_1(E,H) = 1 ) ) ) & ! [H] : ( m2_funct_2(H,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ~ ( k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),F) = k4_domain_1(u2_turing_1(A),k4_ordinal1,k9_funct_2(k4_numbers,u1_turing_1(A)),C,k1_nat_1(G,F),H) & ! [I] : ( v1_int_1(I) => ( r1_xxreal_0(G,I) => ( r1_xxreal_0(k1_nat_1(G,F),I) | k1_funct_1(H,I) = k5_numbers ) ) ) & ! [I] : ( v1_int_1(I) => ( ~ ( r1_xxreal_0(G,I) & ~ r1_xxreal_0(k1_nat_1(G,F),I) ) => k1_funct_1(H,I) = k1_funct_1(E,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l71_valued_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,C) ) | ( r1_xxreal_0(k1_nat_1(C,1),A) & r1_xxreal_0(A,k2_xcmplx_0(C,B)) ) ) => ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k2_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(l71_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v3_lattice3(A) ) => v3_lattice3(B) ) ) ) )).
fof(l71_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => v6_waybel_4(k1_waybel_4(A),A) ) )).
fof(l72_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k5_arytm_3) => ! [D] : ( m1_subset_1(D,k5_arytm_3) => ( ( A = C & B = D ) => k10_ordinal2(A,B) = k9_arytm_3(C,D) ) ) ) ) ) )).
fof(l72_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k2_power(k2_xcmplx_0(1,k7_xcmplx_0(1,k1_nat_1(B,1))),k1_nat_1(B,1)) ) => v7_valued_0(A) ) ) )).
fof(l72_borsuk_5,axiom,( r1_tarski(k2_rcomp_1(1,k1_xxreal_0),k3_rcomp_1(1,k1_xxreal_0)) )).
fof(l72_cat_4,axiom,( ! [A] : ! [B] : v2_cat_1(k23_cat_4(A,B)) )).
fof(l72_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(C)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)))) ) => ( ! [G] : ( m2_finseq_2(G,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => k3_funct_2(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1),F,G) = k6_comput_1(A,B,D,G) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => r1_tarski(k9_xtuple_0(k1_funct_1(F,k1_funct_7(C,D,G))),k9_xtuple_0(k1_funct_1(F,k1_funct_7(C,D,k2_xcmplx_0(G,H))))) ) ) ) ) ) ) ) ) ) ) )).
fof(l72_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(6,10),k3_xcmplx_0(k6_xcmplx_0(k3_square_1(5),1),k7_xcmplx_0(k3_square_1(5),k1_square_1(k3_square_1(5))))) )).
fof(l72_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k37_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k4_gfacirc1)) = k2_binarith(k2_binarith(k2_binarith(k8_margrel1(G),H),k8_margrel1(I)),k8_margrel1(K)) & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l72_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => k10_glib_001(A,B,C) = k7_finseq_1(B,k10_finseq_1(C,D)) ) ) ) )).
fof(l72_group_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k4_finseq_1(A)) => ( m1_subset_1(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1),k4_ordinal1) & r1_xxreal_0(1,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1)) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1),k3_finseq_1(A)) ) ) ) ) )).
fof(l72_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),k4_hilbert1(k4_hilbert1(C,A),B)),k6_hilbert1) ) ) ) )).
fof(l72_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_normsp_0(B,k1_rlvect_1(B,C,k5_xcmplx_0(A))) = k7_xcmplx_0(k2_normsp_0(B,C),k9_complex1(A)) ) ) ) )).
fof(l72_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k1_sin_cos2) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k1_sin_cos2,A)) ) ) )).
fof(l72_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan9(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(k1_jordan8(B,A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),1,D) ) ) ) ) )).
fof(l72_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ! [E] : ( ( v1_finset_1(E) & v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(A,k2_finseq_1(k4_card_1(D))) & k12_matrix_3(k4_card_1(D),B,k7_matrix13(u1_struct_0(B),C,D,E)) != k4_struct_0(B) & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k4_card_1(D))) & k12_matrix_3(k7_nat_d(k4_card_1(D),1),B,k2_laplace(G,A,k4_card_1(D),B,k7_matrix13(u1_struct_0(B),C,D,E))) != k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(l72_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( ? [D] : ( m1_subset_1(D,k4_ordinal1) & r2_tarski(D,k2_finseq_1(A)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k2_finseq_1(A)) => k1_funct_1(k8_matrix_0(u1_struct_0(B),C,D),E) = k4_struct_0(B) ) ) ) => k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),k6_finsub_1(k9_matrix_1(A)),k1_matrix_9(A,B,C)) = k4_struct_0(B) ) ) ) ) )).
fof(l72_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(D),k6_grcat_1(C,D),k3_rlvect_1(C,E,F)) = k3_rlvect_1(D,k3_funct_2(u1_struct_0(C),u1_struct_0(D),k6_grcat_1(C,D),E),k3_funct_2(u1_struct_0(C),u1_struct_0(D),k6_grcat_1(C,D),F)) ) ) ) ) ) ) )).
fof(l72_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v1_moebius1(k6_moebius1(A)) ) )).
fof(l72_normform,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(A)),k8_normform(A)) => k9_normform(A,k5_setwiseo(k7_normform(A),k10_normform(A,B,C),C)) = k9_normform(A,C) ) ) )).
fof(l72_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k7_nat_d(k4_pepin(A),1),k5_numbers) ) )).
fof(l72_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k4_struct_0(A)))) = k1_rlvect_3(A,B) ) ) )).
fof(l72_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1)))) & ~ r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1)))) & r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1)))),C) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,A),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) ) ) ) ) ) )).
fof(l72_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => k4_finseq_1(B) = k2_finseq_1(A) ) ) )).
fof(l72_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & v4_topreal1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)) & m2_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C),u1_struct_0(k15_euclid(2))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k20_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k21_pscomp_1(k3_topreal1(2,A)) ) => ( k20_pscomp_1(k3_topreal1(2,A)) = k11_pscomp_1(k3_topreal1(2,A)) | k21_pscomp_1(k3_topreal1(2,A)) = k12_pscomp_1(k3_topreal1(2,A)) | ( v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k11_pscomp_1(k3_topreal1(2,A))),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k12_pscomp_1(k3_topreal1(2,A))))) & m2_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k11_pscomp_1(k3_topreal1(2,A))),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k12_pscomp_1(k3_topreal1(2,A)))),u1_struct_0(k15_euclid(2))) ) ) ) ) ) ) )).
fof(l72_srings_2,axiom,( k6_subset_1(k1_tarski(1),k1_enumset1(2,3,4)) = k1_tarski(1) )).
fof(l72_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) ) => ( r1_xxreal_0(k5_numbers,k7_xcmplx_0(k4_sin_cos6(A),k3_xcmplx_0(2,k28_sin_cos))) & r1_xxreal_0(k7_xcmplx_0(k4_sin_cos6(A),k3_xcmplx_0(2,k28_sin_cos)),k7_xcmplx_0(1,2)) ) ) ) )).
fof(l72_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v5_transgeo(D,A) & r3_diraf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),C) ) => ( B = k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B) | r2_analoaf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) ) ) ) ) ) ) )).
fof(l72_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v3_waybel_3(A) ) => v3_waybel_3(B) ) ) ) )).
fof(l72_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => k5_zmodul01(A,k4_struct_0(A),B) = u1_struct_0(B) ) ) )).
fof(l73_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_anproj_2(A) => v3_anproj_2(k5_anproj_1(A)) ) ) )).
fof(l73_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k5_arytm_3) => ! [B] : ( m1_subset_1(B,k5_arytm_3) => ! [C] : ( m1_subset_1(C,k5_arytm_3) => ~ ( ~ r3_arytm_3(k9_arytm_3(A,B),C) & A != k11_arytm_3 & B != k11_arytm_3 & ! [D] : ( m1_subset_1(D,k5_arytm_3) => ! [E] : ( m1_subset_1(E,k5_arytm_3) => ~ ( C = k9_arytm_3(D,E) & ~ r3_arytm_3(A,D) & ~ r3_arytm_3(B,E) ) ) ) ) ) ) ) )).
fof(l73_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(1,A) => r1_xxreal_0(k2_power(k7_xcmplx_0(k1_nat_1(A,1),A),A),k2_power(k7_xcmplx_0(k1_nat_1(A,2),k1_nat_1(A,1)),k1_nat_1(A,1))) ) ) )).
fof(l73_borsuk_5,axiom,( k9_subset_1(k1_numbers,k2_rcomp_1(k2_xxreal_0,1),k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_rcomp_1(k2_xxreal_0,2),k3_borsuk_5(2,4)),k1_seq_4(4)),k1_seq_4(5))) = k2_rcomp_1(k2_xxreal_0,1) )).
fof(l73_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(k55_valued_1(A,k2_numbers,B)) <=> v1_comseq_2(B) ) ) ) )).
fof(l73_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(C)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)))) ) => ( ! [G] : ( m2_finseq_2(G,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => k3_funct_2(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1),F,G) = k6_comput_1(A,B,D,G) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( ~ r2_tarski(k1_funct_7(C,D,G),k9_xtuple_0(k1_funct_1(F,k1_funct_7(C,D,G)))) & r2_tarski(k1_funct_7(C,D,G),k9_xtuple_0(k1_funct_1(F,k1_funct_7(C,D,k2_xcmplx_0(G,H))))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l73_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(6,10),k3_xcmplx_0(k6_xcmplx_0(k3_square_1(5),1),k7_xcmplx_0(k3_xcmplx_0(1,k3_square_1(5)),k3_xcmplx_0(k3_square_1(5),k3_square_1(5))))) & ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l73_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k3_gfacirc1)) & H = k1_funct_1(F,k4_tarski(k10_finseq_1(E,D),k2_twoscomp)) & I = k1_funct_1(F,k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1)) ) => k1_funct_1(k6_circuit2(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F),k21_gfacirc1(k36_gfacirc1(A,B,C),E,D)) = k1_binarith(k1_binarith(G,H),I) ) ) ) ) ) ) ) ) ) )).
fof(l73_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => ( k3_glib_001(A,k10_glib_001(A,B,C)) = k3_glib_001(A,B) & k4_glib_001(A,k10_glib_001(A,B,C)) = D & r1_glib_001(A,k3_glib_001(A,B),D,k10_glib_001(A,B,C)) ) ) ) ) )).
fof(l73_group_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(C)) => k1_funct_1(D,G) = k1_funct_1(F,k1_funct_1(C,G)) ) ) & k3_finseq_1(C) = k3_finseq_1(E) & k3_finseq_1(D) = k3_finseq_1(E) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),F,k3_group_4(A,k4_group_4(A,E,C))) = k3_group_4(B,k4_group_4(B,E,D)) ) ) ) ) ) ) ) )).
fof(l73_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),k4_hilbert1(k4_hilbert1(C,B),A)),k6_hilbert1) ) ) ) )).
fof(l73_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan9(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k1_jordan8(B,A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,1) ) ) ) ) )).
fof(l73_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,B) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => k3_funct_2(u1_struct_0(D),u1_struct_0(E),k6_grcat_1(D,E),k3_vectsp_1(A,D,F,G)) = k3_vectsp_1(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F),k3_funct_2(u1_struct_0(D),u1_struct_0(E),k6_grcat_1(D,E),G)) ) ) ) ) ) ) ) )).
fof(l73_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_tarski(A,k1_modelc_3(B)) => r1_xxreal_0(k18_modelc_3(B,k19_modelc_3(B,A)),k6_xcmplx_0(k3_finseq_1(A),1)) ) ) ) )).
fof(l73_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(A,2),k1_newton(A,2)),k1_newton(k2_xcmplx_0(A,1),2)) => r1_xxreal_0(3,A) ) ) )).
fof(l73_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(A),u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(k2_oppcat_1(A))) => k3_funct_2(u4_struct_0(k2_oppcat_1(A)),u4_struct_0(k2_oppcat_1(B)),k11_oppcat_1(k2_oppcat_1(A),B,k10_oppcat_1(A,B,C)),D) = k5_oppcat_1(B,k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,k6_oppcat_1(A,D))) ) ) ) ) )).
fof(l73_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(1)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_relset_1(k1_euclid(A),k1_euclid(1),k3_pdiff_1(A,B),C) => k9_complex1(k5_real_1(k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_7(A,B,D),F),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_7(A,B,E),F))) = k12_euclid(k8_euclid(1,k3_funct_2(k1_euclid(A),k1_euclid(1),k8_pdiff_1(A,1,C,D),F),k3_funct_2(k1_euclid(A),k1_euclid(1),k8_pdiff_1(A,1,C,E),F))) ) ) ) ) ) ) ) )).
fof(l73_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => k4_nat_d(k4_pepin(A),k1_newton(2,k1_newton(2,A))) = 1 ) )).
fof(l73_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) ) => ( ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),C) & r1_tarski(D,A) & r1_tarski(D,B) ) => ! [E] : ( v7_ordinal1(E) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,C,E)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,E)) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,C,E)) ) ) ) ) ) ) ) )).
fof(l73_scmbsort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( ( A = k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1))) & r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A) | ( r2_classes1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,C),k5_scmfsa_2(k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( ( ( ~ r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A),D) & r1_xxreal_0(1,D) ) | ( ~ r1_xxreal_0(D,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & r2_tarski(D,k4_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) ) ) => k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),D) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,C),k5_scmfsa_2(k5_numbers)),D) ) ) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A),D) & r1_xxreal_0(D,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ~ ( E = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,C),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A)) & F = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,C),k5_scmfsa_2(k5_numbers)),D) & r1_xxreal_0(F,E) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A),D) & r1_xxreal_0(D,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),A),E) & r1_xxreal_0(E,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,C),k5_scmfsa_2(k5_numbers)),D) = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),E) ) ) ) ) ) ) ) ) ) ) )).
fof(l73_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => r1_subset_1(k1_rltopsp1(k15_euclid(2),k24_pscomp_1(k3_topreal1(2,A)),k13_pscomp_1(k3_topreal1(2,A))),k1_rltopsp1(k15_euclid(2),k11_pscomp_1(k3_topreal1(2,A)),k20_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(l73_srings_2,axiom,( k6_subset_1(k1_tarski(2),k2_enumset1(1,2,3,4)) = k1_xboole_0 )).
fof(l73_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v5_transgeo(D,A) & r1_diraf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),C) ) => ( B = k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B) | r2_analoaf(A,B,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) ) ) ) ) ) ) )).
fof(l74_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( B = a_2_5_armstrng(A,C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( r2_tarski(k6_armstrng(A,D,E),B) <=> ! [F] : ( ( r2_tarski(F,C) & r1_tarski(D,F) ) => r1_tarski(E,F) ) ) ) ) ) )).
fof(l74_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ~ ( r2_tarski(A,k5_arytm_3) & r2_tarski(B,k5_arytm_3) & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ! [D] : ( m1_subset_1(D,k5_arytm_3) => ~ ( A = C & B = D & k7_arytm_2(A,B) = k9_arytm_3(C,D) ) ) ) ) ) ) )).
fof(l74_borsuk_5,axiom,( k9_subset_1(k1_numbers,k2_rcomp_1(1,k1_xxreal_0),k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_rcomp_1(k2_xxreal_0,2),k3_borsuk_5(2,4)),k1_seq_4(4)),k1_seq_4(5))) = k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_rcomp_1(1,2),k3_borsuk_5(2,4)),k1_seq_4(4)),k1_seq_4(5)) )).
fof(l74_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(k4_ordinal1)) & v1_funct_1(B) & v4_valued_0(B) & v2_margrel1(B) ) => ! [C] : ( m2_finseq_2(C,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(D,k4_finseq_1(C)) => ( ( r2_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k5_numbers),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) => r2_tarski(k2_finseq_3(D,C),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) ) & ( r2_tarski(k2_finseq_3(D,C),k1_relset_1(k3_finseq_2(k4_ordinal1),A)) => r2_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k5_numbers),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) ) & ( r2_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k5_numbers),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) => k1_recdef_1(k7_comput_1(A,B,D),k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k5_numbers)) = k1_recdef_1(A,k2_finseq_3(D,C)) ) & ( r2_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) => ( r2_tarski(k1_funct_7(C,D,E),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) & r2_tarski(k7_finseq_1(k1_funct_7(C,D,E),k12_finseq_1(k4_ordinal1,k1_recdef_1(k7_comput_1(A,B,D),k1_funct_7(C,D,E)))),k1_relset_1(k3_finseq_2(k4_ordinal1),B)) ) ) & ( ( r2_tarski(k1_funct_7(C,D,E),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) & r2_tarski(k7_finseq_1(k1_funct_7(C,D,E),k12_finseq_1(k4_ordinal1,k1_recdef_1(k7_comput_1(A,B,D),k1_funct_7(C,D,E)))),k1_relset_1(k3_finseq_2(k4_ordinal1),B)) ) => r2_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) ) & ( r2_tarski(k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1)),k1_relset_1(k3_finseq_2(k4_ordinal1),k7_comput_1(A,B,D))) => k1_recdef_1(k7_comput_1(A,B,D),k1_midsp_3(k4_ordinal1,k1_nat_1(k18_margrel1(A),1),C,D,k1_nat_1(E,1))) = k1_recdef_1(B,k7_finseq_1(k1_funct_7(C,D,E),k12_finseq_1(k4_ordinal1,k1_recdef_1(k7_comput_1(A,B,D),k1_funct_7(C,D,E))))) ) ) ) ) ) ) ) ) )).
fof(l74_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(6,10),k3_xcmplx_0(k6_xcmplx_0(k3_square_1(5),1),k7_xcmplx_0(1,k3_square_1(5)))) )).
fof(l74_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(k2_zfmisc_1(k10_xtuple_0(B),k1_tarski(A)),k9_xtuple_0(C)) => k9_xtuple_0(k4_funcop_1(C,B,A)) = k4_finseq_1(B) ) ) ) )).
fof(l74_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ( k29_fomodel2(B,C) = k1_nat_1(A,1) & v5_fomodel2(C,B) ) => r2_tarski(C,k27_fomodel2(B,A)) ) ) ) ) )).
fof(l74_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k4_gfacirc1)) & H = k1_funct_1(F,D) ) => k1_funct_1(k6_circuit2(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F),k24_gfacirc1(k36_gfacirc1(A,B,C),E,D)) = k2_binarith(G,k8_margrel1(H)) ) ) ) ) ) ) ) ) )).
fof(l74_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k11_fvsum_1(A,k2_finseq_4(u1_struct_0(A),B,C),k2_finseq_4(u1_struct_0(A),D,E)) = k2_finseq_4(u1_struct_0(A),k6_algstr_0(A,B,D),k6_algstr_0(A,C,E)) ) ) ) ) ) )).
fof(l74_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => k3_finseq_1(k10_glib_001(A,B,C)) = k1_nat_1(k3_finseq_1(B),2) ) ) ) )).
fof(l74_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(A,B),C),k4_hilbert1(A,k4_hilbert1(C,B))),k6_hilbert1) ) ) ) )).
fof(l74_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & r1_tarski(k2_rcomp_1(B,C),k1_relset_1(k1_numbers,E)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k2_rcomp_1(B,C)) => k1_funct_1(E,F) = k6_integr18(k4_real_ns1(A),D,B,F) ) ) ) ) ) ) ) )).
fof(l74_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),B),k8_intpro_1) ) ) ) )).
fof(l74_jgraph_5,axiom,( k17_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k4_xcmplx_0(1) )).
fof(l74_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan9(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(k1_jordan8(B,A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),k3_finseq_1(k1_jordan8(B,A)),D) ) ) ) ) )).
fof(l74_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,k2_lattices(A,C,B),C) => ( r2_lattad_1(A,B,C) & k2_lattices(A,C,B) = k6_lattad_1(A,B,C) ) ) ) ) ) )).
fof(l74_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,A) & ~ r1_xxreal_0(A,k5_numbers) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_funct_2(k2_finseq_1(E),k2_finseq_1(A)),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_funct_2(k2_finseq_1(E),k2_finseq_1(A)),u1_struct_0(B)))) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(E),k2_finseq_1(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(E),k2_finseq_1(A)))) & ? [H] : ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),A,A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) & H = k1_funct_4(k4_matrix_3(B,C,D),k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A),G),D),k2_finseq_1(E))) & ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k2_finseq_1(E)) => k1_funct_1(H,I) = k1_funct_1(D,k1_funct_1(G,I)) ) & ( ~ r2_tarski(I,k2_finseq_1(E)) => k1_funct_1(H,I) = k1_funct_1(k4_matrix_3(B,C,D),I) ) ) ) & ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ~ ( k3_finseq_1(I) = E & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r2_tarski(K,k2_finseq_1(E)) & J = k1_funct_1(G,K) ) => k1_funct_1(I,K) = k3_matrix_0(u1_struct_0(B),C,K,J) ) ) ) & k1_funct_1(F,G) = k8_group_1(B,k1_finsop_1(u1_struct_0(B),I,u2_algstr_0(B)),k12_matrix_3(A,B,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l74_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r2_mesfunc6(A,B,D) & r2_mesfunc6(A,B,E) & k1_relset_1(A,E) = k1_relset_1(A,D) ) => ( k1_relset_1(A,D) = k1_xboole_0 | ( r2_mesfunc6(A,B,k3_valued_1(A,k1_numbers,k1_numbers,D,E)) & k1_relset_1(A,k3_valued_1(A,k1_numbers,k1_numbers,D,E)) != k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(l74_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_tarski(A,k1_modelc_3(B)) => r1_xxreal_0(k18_modelc_3(B,k20_modelc_3(B,A)),k6_xcmplx_0(k3_finseq_1(A),1)) ) ) ) )).
fof(l74_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_abian(k4_pepin(A)) ) )).
fof(l74_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r4_polyred(A,B,C,D,F,E) => ( D != k8_polynom1(A,C) & F != k8_polynom1(A,C) ) ) ) ) ) ) ) ) )).
fof(l74_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( ~ v8_ordinal1(B) & v1_xreal_0(B) ) => v2_funct_1(k4_rltopsp1(A,B)) ) ) )).
fof(l74_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) ) => ( ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),C) & r1_tarski(D,A) & r1_tarski(D,B) ) => ( k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C) = k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,C) & r8_pboole(u1_struct_0(k1_scmfsa_2),k6_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C),k6_extpro_1(k5_card_1(3),k1_scmfsa_2,B,C)) ) ) ) ) ) ) )).
fof(l74_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),B,A),k4_scmfsa_2(k1_nat_1(1,1))) = k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),1) & k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),B,A),k4_scmfsa_2(k1_nat_1(2,1))) = k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers))) & k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),B,A),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)) ) ) ) )).
fof(l74_scmpds_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k4_card_1(k1_scmpds_4(k4_scmpds_4(A,B),C)) = k1_nat_1(k4_card_1(C),2) ) ) ) )).
fof(l74_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & v4_topreal1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)) & m2_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C),u1_struct_0(k15_euclid(2))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k20_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k24_pscomp_1(k3_topreal1(2,A)) ) => ( k20_pscomp_1(k3_topreal1(2,A)) = k11_pscomp_1(k3_topreal1(2,A)) | k24_pscomp_1(k3_topreal1(2,A)) = k13_pscomp_1(k3_topreal1(2,A)) | ( v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k11_pscomp_1(k3_topreal1(2,A))),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k13_pscomp_1(k3_topreal1(2,A))))) & m2_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k11_pscomp_1(k3_topreal1(2,A))),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k13_pscomp_1(k3_topreal1(2,A)))),u1_struct_0(k15_euclid(2))) ) ) ) ) ) ) )).
fof(l74_srings_2,axiom,( k6_subset_1(k1_tarski(2),k1_enumset1(1,2,3)) = k1_xboole_0 )).
fof(l74_toprealb,axiom,( v2_funct_1(k2_partfun1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k3_rcomp_1(k5_numbers,1))) )).
fof(l74_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( ( v3_pre_topc(C,A) & C = u1_struct_0(B) & D = E & v3_tops_1(D,A) ) => v3_tops_1(E,B) ) ) ) ) ) ) )).
fof(l74_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v5_transgeo(D,A) & r1_diraf(A,B,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B)) ) => ( B = k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B) | C = k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B) | r2_analoaf(A,B,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) ) ) ) ) ) ) )).
fof(l75_classes2,axiom,( k16_classes2(k5_numbers) = k13_classes2 & ! [A] : ( v3_ordinal1(A) => k16_classes2(k1_ordinal1(A)) = k1_classes1(k16_classes2(A)) ) & ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => ( ( v4_ordinal1(A) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k16_classes2(C) ) ) ) => ( A = k5_numbers | k16_classes2(A) = k15_classes2(k3_card_3(B)) ) ) ) ) )).
fof(l75_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(6,10),k7_xcmplx_0(k6_xcmplx_0(k3_square_1(5),1),k3_square_1(5))) )).
fof(l75_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v15_fomodel1(k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k18_fomodel1(A)),B),C),A) & m2_subset_1(k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k18_fomodel1(A)),B),C),k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) ) ) )).
fof(l75_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel2(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ~ r1_xxreal_0(k29_fomodel2(A,k42_fomodel1(A,k43_fomodel1(A,B),C)),k29_fomodel2(A,C)) ) ) ) )).
fof(l75_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k37_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),k21_gfacirc1(k36_gfacirc1(A,B,C),E,D)) = k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(k8_margrel1(G),H),k8_margrel1(I)),k8_margrel1(K)),k9_margrel1(k8_margrel1(K),J)),k9_margrel1(J,k2_binarith(k2_binarith(k8_margrel1(G),H),k8_margrel1(I)))) & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l75_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => ( k1_funct_1(k10_glib_001(A,B,C),k1_nat_1(k3_finseq_1(B),1)) = C & k1_funct_1(k10_glib_001(A,B,C),k1_nat_1(k3_finseq_1(B),2)) = D & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(k10_glib_001(A,B,C),E) = k1_funct_1(B,E) ) ) ) ) ) ) )).
fof(l75_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_xboole_0(C) => k18_group_9(A,B,C) = k4_group_9(A,B) ) ) ) )).
fof(l75_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A,k4_hilbert1(C,B)),k4_hilbert1(A,k4_hilbert1(B,C))),k6_hilbert1) ) ) ) )).
fof(l75_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k3_sin_cos2,A)) ) )).
fof(l75_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),k4_intpro_1(k4_intpro_1(A,B),C)),k4_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),B)),k8_intpro_1) ) ) ) )).
fof(l75_jgraph_5,axiom,( k18_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k5_numbers )).
fof(l75_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r2_lattad_1(A,B,C) & k2_lattices(A,C,B) = k6_lattad_1(A,B,C) ) => r1_lattices(A,k2_lattices(A,C,B),C) ) ) ) ) )).
fof(l75_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v2_o_ring_1(C,A) & v1_o_ring_1(B,A) ) => v2_o_ring_1(k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l75_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : k2_relat_1(k2_wellord1(A,B)) = k2_wellord1(k2_relat_1(A),B) ) )).
fof(l75_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => r2_relset_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,E),C),k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,E),D)),k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,E),k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,C,D))) ) ) ) ) ) )).
fof(l75_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => r1_relat_2(k17_pre_poly(A),k15_pre_poly(A)) ) )).
fof(l75_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k5_quaterni(A,B,C,D) = k6_quaterni(k6_quaterni(k18_quaterni(A,k20_quaterni(B,k1_xcmplx_0)),k20_quaterni(C,k10_quaterni)),k20_quaterni(D,k11_quaterni)) ) ) ) ) )).
fof(l75_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( r1_xxreal_0(k1_funct_1(B,D),k5_numbers) => r1_scm_halt(k4_scmfsa_x(D,C),B,A) ) ) ) ) ) )).
fof(l75_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(B,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers))) => ( r2_classes1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),B,A),k5_scmfsa_2(k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(D,k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(D,C) | ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ( ( E = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),B,A),k5_scmfsa_2(k5_numbers)),C) & F = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),B,A),k5_scmfsa_2(k5_numbers)),D) ) => r1_xxreal_0(F,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l75_srings_2,axiom,( k6_subset_1(k1_tarski(2),k1_enumset1(2,3,4)) = k1_xboole_0 )).
fof(l75_transgeo,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v5_transgeo(D,A) & r3_diraf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),C) ) => ( B = k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B) | r2_analoaf(A,B,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B),k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) ) ) ) ) ) ) )).
fof(l76_card_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_finset_1(k4_classes1(A)) => v1_finset_1(k4_classes1(k2_xcmplx_0(A,1))) ) ) )).
fof(l76_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_clvect_1(B,A) => k5_clvect_1(A,k4_struct_0(A),B) = u1_struct_0(B) ) ) )).
fof(l76_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(2,k5_margrel1),k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k5_margrel1),k5_margrel1))) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k8_facirc_1(A,B,C,D),k10_facirc_1(A,B,C,D)))) => ( C != k4_tarski(k10_finseq_1(A,B),D) => ( k11_facirc_1(k8_facirc_1(A,B,C,D),k10_facirc_1(A,B,C,D),k6_circuit2(k8_facirc_1(A,B,C,D),k10_facirc_1(A,B,C,D),E),k9_facirc_1(A,B,C,D)) = k1_funct_1(D,k10_finseq_1(k1_funct_1(E,k4_tarski(k10_finseq_1(A,B),D)),k1_funct_1(E,C))) & k1_funct_1(k6_circuit2(k8_facirc_1(A,B,C,D),k10_facirc_1(A,B,C,D),E),k4_tarski(k10_finseq_1(A,B),D)) = k1_funct_1(D,k10_finseq_1(k1_funct_1(E,A),k1_funct_1(E,B))) & k1_funct_1(k6_circuit2(k8_facirc_1(A,B,C,D),k10_facirc_1(A,B,C,D),E),A) = k1_funct_1(E,A) & k1_funct_1(k6_circuit2(k8_facirc_1(A,B,C,D),k10_facirc_1(A,B,C,D),E),B) = k1_funct_1(E,B) & k1_funct_1(k6_circuit2(k8_facirc_1(A,B,C,D),k10_facirc_1(A,B,C,D),E),C) = k1_funct_1(E,C) ) ) ) ) )).
fof(l76_fib_num4,axiom,( r1_xxreal_0(k3_square_1(k1_square_1(k7_xcmplx_0(3,2))),k3_square_1(5)) )).
fof(l76_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( k29_fomodel2(B,C) = k1_nat_1(A,1) => ( v5_fomodel2(C,B) | r2_tarski(C,k32_fomodel2(B,A)) ) ) ) ) ) )).
fof(l76_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => r2_tarski(k34_fomodel3(A,B,C),k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) ) ) ) )).
fof(l76_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_fomodel4(A))) => ! [C] : ( m1_subset_1(C,k1_fomodel4(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( r2_tarski(k1_domain_1(k1_zfmisc_1(k1_fomodel4(A)),k1_fomodel4(A),B,C),D) => r2_tarski(C,k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k23_fomodel4(A,D),B)) ) ) ) ) ) )).
fof(l76_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k37_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),k24_gfacirc1(k36_gfacirc1(A,B,C),E,D)) = k8_margrel1(k2_binarith(k2_binarith(k2_binarith(k2_binarith(k8_margrel1(G),H),k8_margrel1(I)),J),k8_margrel1(K))) & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),A) = G & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),B) = H & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),C) = I & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),D) = J & k1_funct_1(k5_facirc_1(k13_ftacell1(A,B,C,D,E),k14_ftacell1(A,B,C,D,E),F,4),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l76_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ! [E] : ! [F] : ( ( r1_glib_001(A,D,E,B) & r1_glib_000(A,E,F,C) ) => r1_glib_001(A,D,F,k10_glib_001(A,B,C)) ) ) ) )).
fof(l76_goboard6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = 1 )).
fof(l76_group_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => k2_group_9(A,B,D,k12_finseq_1(A,C)) = k3_funct_2(A,k1_funct_2(B,B),D,C) ) ) ) )).
fof(l76_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k3_sin_cos2) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k3_sin_cos2,A)) ) ) )).
fof(l76_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),k4_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),B)),k8_intpro_1) ) ) ) )).
fof(l76_jgraph_5,axiom,( k17_euclid(k19_euclid(1,k5_numbers)) = 1 & k18_euclid(k19_euclid(1,k5_numbers)) = k5_numbers )).
fof(l76_moebius1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r1_nat_d(A,B) => ( v1_moebius1(A) | r1_nat_d(A,k6_moebius1(B)) ) ) ) ) )).
fof(l76_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => k1_lattices(k11_normform(A),B,C) = k1_lattices(k11_normform(A),C,B) ) ) )).
fof(l76_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_o_ring_1(B,A) & v1_o_ring_1(C,A) ) => v3_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l76_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => k2_wellord1(A,k1_xboole_0) = k1_xboole_0 ) )).
fof(l76_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => r4_relat_2(k17_pre_poly(A),k15_pre_poly(A)) ) )).
fof(l76_quatern3,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l76_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k21_quaterni(A,B) = k21_quaterni(k21_quaterni(k18_quaterni(k2_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k20_quaterni(k2_xcmplx_0(k13_quaterni(A),k13_quaterni(B)),k1_xcmplx_0)),k20_quaterni(k2_xcmplx_0(k14_quaterni(A),k14_quaterni(B)),k10_quaterni)),k20_quaterni(k2_xcmplx_0(k15_quaterni(A),k15_quaterni(B)),k11_quaterni)) ) ) )).
fof(l76_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( ~ v8_ordinal1(B) & v1_xreal_0(B) ) => v5_pre_topc(k4_rltopsp1(A,B),A,A) ) ) )).
fof(l76_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( r1_scm_halt(C,B,A) => ( r1_xxreal_0(k1_funct_1(B,D),k5_numbers) | ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k1_scmfsa_m(B),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k1_scmfsa_m(B)),2))) = k5_numbers & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k1_scmfsa_m(B),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k1_scmfsa_m(B)),2))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k1_scmfsa_m(B),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k1_scmfsa_m(B)))) ) ) ) ) ) ) ) )).
fof(l76_scmpds_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_tarski(k5_numbers,k9_xtuple_0(k1_scmpds_4(k4_scmpds_4(A,B),C))) & r2_tarski(1,k9_xtuple_0(k1_scmpds_4(k4_scmpds_4(A,B),C))) ) ) ) ) )).
fof(l76_srings_2,axiom,( k6_subset_1(k1_tarski(3),k2_enumset1(1,2,3,4)) = k1_xboole_0 )).
fof(l77_card_2,axiom,( 1 = k4_card_1(1) )).
fof(l77_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ( ~ v2_struct_0(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) & ~ v11_struct_0(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) & v2_cat_1(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) & v3_cat_1(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) & v4_cat_1(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) & v5_cat_1(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) & v6_cat_1(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) & l1_cat_1(g1_cat_1(k6_cat_6(A),k1_cat_6(A),k15_cat_6(A),k16_cat_6(A),k14_cat_6(A))) ) ) )).
fof(l77_fib_num4,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),k3_square_1(5)) )).
fof(l77_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != k4_struct_0(A) => k8_group_1(A,k9_algstr_0(A,B),k8_group_1(A,B,C)) = C ) ) ) ) )).
fof(l77_gaussint,axiom,( ! [A] : ( v1_int_1(A) => ~ ( v7_ordinal1(k3_xcmplx_0(A,A)) & v1_int_2(k3_xcmplx_0(A,A)) ) ) )).
fof(l77_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( v7_ordinal1(C) & v1_abian(C) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( r2_tarski(k3_nat_d(C,2),k1_relset_1(k4_ordinal1,k12_glib_001(A,B))) & k1_funct_1(B,C) = k1_funct_1(k12_glib_001(A,B),k3_nat_d(C,2)) ) ) ) ) ) )).
fof(l77_group_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k1_funct_2(B,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => r2_funct_2(B,B,k2_group_9(A,B,E,k8_finseq_1(A,D,k12_finseq_1(A,C))),k1_partfun1(B,B,B,B,k2_group_9(A,B,E,k12_finseq_1(A,C)),k2_group_9(A,B,E,D))) ) ) ) ) )).
fof(l77_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A,k4_hilbert1(B,C)),k4_hilbert1(k4_hilbert1(C,B),A)),k6_hilbert1) ) ) ) )).
fof(l77_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),k4_intpro_1(A,C)),k8_intpro_1) ) ) ) )).
fof(l77_jgraph_5,axiom,( k17_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(1))) = k5_numbers )).
fof(l77_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_normform(A))) => k1_lattices(k11_normform(A),B,k1_lattices(k11_normform(A),C,D)) = k1_lattices(k11_normform(A),k1_lattices(k11_normform(A),B,C),D) ) ) ) )).
fof(l77_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v6_o_ring_1(C,A) & v5_o_ring_1(B,A) ) => v6_o_ring_1(k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l77_ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( r2_tarski(k4_ordinal1,A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(A),k5_numbers)) & v1_funct_2(k1_funct_1(k11_ordinal6(A),k5_numbers),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k1_funct_1(k11_ordinal6(A),k5_numbers)) & m1_subset_1(k1_funct_1(k11_ordinal6(A),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) ) )).
fof(l77_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => r8_relat_2(k17_pre_poly(A),k15_pre_poly(A)) ) )).
fof(l77_quatern3,axiom,( k3_quatern2 = k5_arytm_0(k10_subset_1(k5_numbers,k1_numbers),c1__quatern3) )).
fof(l77_rinfsup1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v8_valued_0(B) => k1_funct_1(k4_rinfsup1(B),A) = k1_funct_1(B,A) ) ) ) )).
fof(l77_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(C) & v1_scm_halt(C) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( v1_scm_halt(k4_scmfsa_x(D,C)) => ( r1_xxreal_0(k1_funct_1(B,D),k5_numbers) | k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k4_scmfsa_x(D,C),B,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k4_scmfsa_x(D,C),k1_scmfsa6b(C,B,A),A)) ) ) ) ) ) ) )).
fof(l77_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4)))) = k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4)) )).
fof(l77_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l77_srings_2,axiom,( k6_subset_1(k1_tarski(3),k1_enumset1(1,2,3)) = k1_xboole_0 )).
fof(l78_classes2,axiom,( 1 = k1_ordinal1(k5_numbers) )).
fof(l78_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(B),k2_ens_1(k16_ens_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B),k2_ens_1(k16_ens_1(B))))) ) => ( r1_tarski(k16_ens_1(B),A) => ( v1_funct_1(C) & v1_funct_2(C,u4_struct_0(B),u4_struct_0(k11_ens_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B),u4_struct_0(k11_ens_1(A))))) ) ) ) ) ) )).
fof(l78_fib_num4,axiom,( r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3,2),2),k3_xcmplx_0(k3_square_1(5),2)) )).
fof(l78_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( ( v4_fomodel2(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( ~ r1_xxreal_0(k29_fomodel2(A,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),C)),k29_fomodel2(A,B)) & ~ r1_xxreal_0(k29_fomodel2(A,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),C)),k29_fomodel2(A,C)) ) ) ) ) )).
fof(l78_fomodel3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [F] : ( m2_funct_2(F,k30_fomodel2(B),k30_fomodel2(B),k9_funct_2(k30_fomodel2(B),k30_fomodel2(B))) => k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(B),k30_fomodel2(B)),k32_fomodel3(B,C,D,F),k1_nat_1(A,1)),E) = k29_fomodel3(B,C,D,A,k8_nat_1(k9_funct_2(k30_fomodel2(B),k30_fomodel2(B)),k32_fomodel3(B,C,D,F),A),E) ) ) ) ) ) ) )).
fof(l78_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( v2_fomodel4(B,A) => ! [C] : ( v1_fomodel4(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)),k1_fomodel4(A)))) => ( r2_hidden(k4_tarski(B,C),D) => v5_fomodel4(C,1,A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k23_fomodel4(A,D)),B) ) ) ) ) ) )).
fof(l78_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r1_tarski(k2_relset_1(A,B),k1_relset_1(A,B)) ) )).
fof(l78_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != k4_struct_0(A) => k8_group_1(A,B,k8_group_1(A,k9_algstr_0(A,B),C)) = C ) ) ) ) )).
fof(l78_gaussint,axiom,( ! [A] : ( v1_int_1(A) => ~ ( k1_int_2(A) != 1 & v7_ordinal1(k3_xcmplx_0(k3_xcmplx_0(2,A),A)) & v1_int_2(k3_xcmplx_0(k3_xcmplx_0(2,A),A)) ) ) )).
fof(l78_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ( ( r1_analmetr(A,B,C) & r2_analoaf(k7_geomtrap(A,B,C),D,E,E,F) ) => ( D = E & E = F ) ) ) ) ) ) ) ) )).
fof(l78_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k12_glib_001(A,B))) <=> r2_tarski(k3_xcmplx_0(2,C),k1_relset_1(k4_ordinal1,B)) ) ) ) ) )).
fof(l78_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => m1_group_2(k8_group_5(A,B,C),k8_group_5(A,C,B)) ) ) ) )).
fof(l78_group_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k1_funct_2(B,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => r2_funct_2(B,B,k2_group_9(A,B,E,k8_finseq_1(A,k12_finseq_1(A,C),D)),k1_partfun1(B,B,B,B,k2_group_9(A,B,E,D),k2_group_9(A,B,E,k12_finseq_1(A,C)))) ) ) ) ) )).
fof(l78_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(k4_hilbert1(C,B),A),k4_hilbert1(k4_hilbert1(B,C),A)),k6_hilbert1) ) ) ) )).
fof(l78_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),B),k4_intpro_1(k4_intpro_1(A,C),B)),k8_intpro_1) ) ) ) )).
fof(l78_jgraph_5,axiom,( k18_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(1))) = k4_xcmplx_0(1) )).
fof(l78_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,k2_lattices(A,B,C),B) => ( r2_lattad_1(A,B,C) & k2_lattices(A,B,C) = k6_lattad_1(A,B,C) ) ) ) ) ) )).
fof(l78_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ~ ( r1_tarski(C,k4_finseq_1(B)) & ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ~ ( D = k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,u1_struct_0(A),k14_finseq_1(C),B) & E = k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,u1_struct_0(A),k14_finseq_1(k7_subset_1(k4_ordinal1,k4_finseq_1(B),C)),B) & k4_rlvect_1(A,B) = k3_rlvect_1(A,k4_rlvect_1(A,D),k4_rlvect_1(A,E)) ) ) ) ) ) ) )).
fof(l78_modelc_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v1_partfun1(B,A) => ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ~ ( r2_tarski(D,A) & r2_hidden(k4_tarski(C,D),B) ) ) ) ) )).
fof(l78_normform,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(A)),k8_normform(A)) => k1_binop_1(u2_lattices(k11_normform(A)),k1_binop_1(u1_lattices(k11_normform(A)),B,C),C) = C ) ) )).
fof(l78_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v7_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v7_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l78_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ( ( r2_tarski(k4_ordinal1,B) & r2_tarski(A,B) & v1_funct_1(k1_funct_1(k11_ordinal6(B),A)) & v1_funct_2(k1_funct_1(k11_ordinal6(B),A),k2_ordinal1(B),k2_ordinal1(B)) & v2_ordinal6(k1_funct_1(k11_ordinal6(B),A)) & m1_subset_1(k1_funct_1(k11_ordinal6(B),A),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B),k2_ordinal1(B)))) ) => ( v1_funct_1(k1_funct_1(k11_ordinal6(B),k1_ordinal1(A))) & v1_funct_2(k1_funct_1(k11_ordinal6(B),k1_ordinal1(A)),k2_ordinal1(B),k2_ordinal1(B)) & v2_ordinal6(k1_funct_1(k11_ordinal6(B),k1_ordinal1(A))) & m1_subset_1(k1_funct_1(k11_ordinal6(B),k1_ordinal1(A)),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B),k2_ordinal1(B)))) ) ) ) ) )).
fof(l78_pepin,axiom,( k11_newton(3,2) = 9 )).
fof(l78_pre_poly,axiom,( ! [A] : ( v3_ordinal1(A) => r3_orders_1(k17_pre_poly(A),k15_pre_poly(A)) ) )).
fof(l78_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k22_quaterni(A,B) = k21_quaterni(k21_quaterni(k18_quaterni(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k15_quaterni(B))),k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k13_quaterni(B)),k3_xcmplx_0(k13_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k15_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k14_quaterni(B))),k1_xcmplx_0)),k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k14_quaterni(B)),k3_xcmplx_0(k14_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k15_quaterni(A),k13_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k15_quaterni(B))),k10_quaterni)),k20_quaterni(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k12_quaterni(A),k15_quaterni(B)),k3_xcmplx_0(k15_quaterni(A),k12_quaterni(B))),k3_xcmplx_0(k13_quaterni(A),k14_quaterni(B))),k3_xcmplx_0(k14_quaterni(A),k13_quaterni(B))),k11_quaterni)) ) ) )).
fof(l78_scm_halt,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(A) & v1_scm_halt(A) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ~ ( ~ r1_xxreal_0(k1_funct_1(C,B),k5_numbers) & r1_xxreal_0(k1_funct_1(C,B),k1_funct_1(k1_scmfsa6b(A,C,D),B)) ) ) ) => v1_scm_halt(k4_scmfsa_x(B,A)) ) ) ) )).
fof(l78_scmpds_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( k1_funct_1(k1_scmpds_4(k4_scmpds_4(A,B),C),k5_numbers) = A & k1_funct_1(k1_scmpds_4(k4_scmpds_4(A,B),C),1) = B ) ) ) ) )).
fof(l78_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => k16_seq_4(A,k15_seq_4(A)) = k15_seq_4(A) ) )).
fof(l78_sin_cos6,axiom,( k2_funct_1(k1_sin_cos6) = k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l78_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos))) = k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos) )).
fof(l78_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l78_srings_2,axiom,( k6_subset_1(k1_tarski(3),k1_enumset1(2,3,4)) = k1_xboole_0 )).
fof(l78_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(1,k4_xcmplx_0(A)),k2_rcomp_1(k2_xcmplx_0(B,A),k2_xcmplx_0(k2_xcmplx_0(B,A),1)))) = k2_rcomp_1(B,k2_xcmplx_0(B,1)) ) ) )).
fof(l78_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_zmodul01(C,A) => ( r1_struct_0(C,B) <=> k5_zmodul01(A,B,C) = u1_struct_0(C) ) ) ) ) )).
fof(l79_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_4(B,A) & v1_aff_4(C,A) & r1_aff_4(A,B,C) ) => ( B = C | ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r2_tarski(D,C) ) ) ) ) ) ) ) )).
fof(l79_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,C,B) = k1_bcialg_1(A,B,C) ) ) => v13_bcialg_1(A) ) ) )).
fof(l79_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v8_cat_6(g1_cat_6(u4_struct_0(A),u1_cat_1(A))) & v9_cat_6(g1_cat_6(u4_struct_0(A),u1_cat_1(A))) & v10_cat_6(g1_cat_6(u4_struct_0(A),u1_cat_1(A))) & l1_cat_6(g1_cat_6(u4_struct_0(A),u1_cat_1(A))) ) ) )).
fof(l79_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(A)) => m1_subset_1(k6_xcmplx_0(B,1),u1_struct_0(k9_int_3(A))) ) ) ) )).
fof(l79_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_tarski(k16_ens_1(B),A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_ens_1(A))) => ( E = k2_cat_1(B,C,D) => k3_funct_2(u4_struct_0(B),k2_ens_1(k16_ens_1(B)),k19_ens_1(B,C),k4_cat_1(B,D)) = k4_cat_1(k11_ens_1(A),E) ) ) ) ) ) ) ) )).
fof(l79_fib_num4,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k3_xcmplx_0(2,k3_square_1(5)),k3_xcmplx_0(2,2))) )).
fof(l79_finseq_3,axiom,( ! [A] : ! [B] : ( k1_finseq_3(k9_finseq_1(A),B) = k9_finseq_1(A) <=> ~ r2_hidden(A,B) ) )).
fof(l79_fomodel0,axiom,( ! [A] : ! [B] : k10_fomodel0(A,B) = k1_funct_4(k8_funcop_1(k4_ordinal1,B,k5_numbers),k8_funcop_1(k4_ordinal1,k3_xboole_0(A,B),1)) )).
fof(l79_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( ( v4_fomodel2(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k29_fomodel2(A,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),B),C)) = k1_nat_1(k4_xxreal_0(k29_fomodel2(A,B),k29_fomodel2(A,C)),1) ) ) ) )).
fof(l79_fomodel3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [F] : ( m2_funct_2(F,k30_fomodel2(B),k30_fomodel2(B),k9_funct_2(k30_fomodel2(B),k30_fomodel2(B))) => ( k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(B),k30_fomodel2(B)),k32_fomodel3(B,C,D,F),k2_xcmplx_0(k29_fomodel2(B,E),A)),E) = k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(B),k30_fomodel2(B)),k32_fomodel3(B,C,D,F),k29_fomodel2(B,E)),E) & ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k15_fomodel1(B),k22_fomodel1(B),E) = C => k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(B),k30_fomodel2(B)),k32_fomodel3(B,C,D,k36_fomodel3(B,C,D)),k29_fomodel2(B,E)),E) = E ) ) ) ) ) ) ) ) )).
fof(l79_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( v2_fomodel4(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(B)),k1_fomodel4(B)))) => ( r2_tarski(A,k1_funct_1(k23_fomodel4(B,D),C)) <=> ( r2_tarski(A,k1_fomodel4(B)) & r2_hidden(k4_tarski(C,A),D) ) ) ) ) ) )).
fof(l79_funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))))) ) => ( ( r2_relset_1(k1_relat_1(A),k1_relat_1(A),k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),C,k5_numbers),k6_partfun1(k1_relat_1(A))) & ! [E] : ( v7_ordinal1(E) => k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),C,k1_nat_1(E,1)) = k3_relat_1(A,k1_funct_1(C,E)) ) & r2_relset_1(k1_relat_1(A),k1_relat_1(A),k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),D,k5_numbers),k6_partfun1(k1_relat_1(A))) & ! [E] : ( v7_ordinal1(E) => k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),D,k1_nat_1(E,1)) = k3_relat_1(A,k1_funct_1(D,E)) ) ) => r2_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),C,D) ) ) ) ) ) )).
fof(l79_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k7_geomtrap(A,B,C))) => ( ( r1_analmetr(A,B,C) & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) & r2_analoaf(k7_geomtrap(A,B,C),D,E,H,I) ) => ( D = E | r2_analoaf(k7_geomtrap(A,B,C),F,G,H,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l79_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ? [C] : ( v1_abian(C) & m1_subset_1(C,k4_ordinal1) & C = k6_xcmplx_0(k3_finseq_1(B),1) & k3_finseq_1(k12_glib_001(A,B)) = k3_nat_d(C,2) ) ) ) )).
fof(l79_group_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k1_funct_2(B,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => r2_funct_2(B,B,k2_group_9(A,B,E,k8_finseq_1(A,C,D)),k1_partfun1(B,B,B,B,k2_group_9(A,B,E,D),k2_group_9(A,B,E,C))) ) ) ) ) )).
fof(l79_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A,k4_hilbert1(B,C)),k4_hilbert1(k4_hilbert1(B,C),A)),k6_hilbert1) ) ) ) )).
fof(l79_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),k4_intpro_1(k4_intpro_1(A,C),B)),k8_intpro_1) ) ) ) )).
fof(l79_jgraph_5,axiom,( k17_euclid(k19_euclid(k5_numbers,1)) = k5_numbers )).
fof(l79_lattice3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),A))) ) => ~ ( ! [C] : ( m1_subset_1(C,A) => k3_funct_2(k1_zfmisc_1(A),A,B,k6_domain_1(A,C)) = C ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => k3_funct_2(k1_zfmisc_1(A),A,B,k7_relset_1(k9_setfam_1(A),A,B,C)) = k3_funct_2(k1_zfmisc_1(A),A,B,k5_setfam_1(A,C)) ) & ! [C] : ( ( ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) ) => ~ ( u1_struct_0(C) = A & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => k15_lattice3(C,D) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(l79_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( ( v2_xxreal_0(F) & v1_xreal_0(F) ) => ! [G] : ( ( v2_xxreal_0(G) & v1_xreal_0(G) ) => ~ ( k3_supinf_2(k2_extreal1(1,F),k2_extreal1(1,G)) = 1 & r2_tarski(D,k1_lpspace2(A,B,C,F)) & r2_tarski(E,k1_lpspace2(A,B,C,F)) & ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ~ ( H = k1_mesfunc6(A,B,C,k2_mesfun6c(F,A,k56_valued_1(A,k1_numbers,D))) & I = k1_mesfunc6(A,B,C,k2_mesfun6c(F,A,k56_valued_1(A,k1_numbers,E))) & J = k1_mesfunc6(A,B,C,k2_mesfun6c(F,A,k56_valued_1(A,k1_numbers,k3_valued_1(A,k1_numbers,k1_numbers,D,E)))) & r1_xxreal_0(k2_power(J,k2_extreal1(1,F)),k2_xcmplx_0(k2_power(H,k2_extreal1(1,F)),k2_power(I,k2_extreal1(1,F)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l79_modelc_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ~ ( r2_tarski(D,A) & r2_hidden(k4_tarski(C,D),B) ) ) => v1_partfun1(B,A) ) ) )).
fof(l79_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => k1_lattices(k11_normform(A),k2_lattices(k11_normform(A),B,C),C) = C ) ) )).
fof(l79_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v10_o_ring_1(C,A) & v9_o_ring_1(B,A) ) => v10_o_ring_1(k8_finseq_1(u1_struct_0(A),C,k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C)),B))),A) ) ) ) ) )).
fof(l79_ordinal6,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ( ( r2_tarski(A,B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(B),C)) & v1_funct_2(k1_funct_1(k11_ordinal6(B),C),k2_ordinal1(B),k2_ordinal1(B)) & v2_ordinal6(k1_funct_1(k11_ordinal6(B),C)) & m1_subset_1(k1_funct_1(k11_ordinal6(B),C),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B),k2_ordinal1(B)))) ) ) ) ) => ( v1_funct_1(k1_funct_1(k11_ordinal6(B),A)) & v1_funct_2(k1_funct_1(k11_ordinal6(B),A),k2_ordinal1(B),k2_ordinal1(B)) & v2_ordinal6(k1_funct_1(k11_ordinal6(B),A)) & m1_subset_1(k1_funct_1(k11_ordinal6(B),A),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(B),k2_ordinal1(B)))) ) ) ) ) )).
fof(l79_pepin,axiom,( k11_newton(3,4) = 81 )).
fof(l79_rlaffin1,axiom,( v1_xreal_0(1) )).
fof(l79_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(C) & v1_scm_halt(C) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ~ r4_scmfsa7b(C,D) => k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(C,k8_scmfsa_2(D,k4_scmfsa_2(k5_numbers))),B,A),D) = k6_xcmplx_0(k1_funct_1(B,D),1) ) ) ) ) ) )).
fof(l79_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ( k8_nat_1(k2_numbers,k3_sin_cos(B),1) = B & k8_nat_1(k2_numbers,k3_sin_cos(B),k5_numbers) = k6_complex1 & k9_complex1(k2_comseq_3(B,A)) = k2_comseq_3(k9_complex1(B),A) ) ) ) )).
fof(l79_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))))) = k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))) )).
fof(l79_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l79_srings_2,axiom,( k6_subset_1(k1_tarski(4),k1_enumset1(1,2,3)) = k1_tarski(4) )).
fof(l79_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => k16_qc_lang1(A,k4_cqc_lang(B,A,C,D)) = C ) ) ) ) )).
fof(l79_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_tex_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( D = E => r1_tarski(k2_pre_topc(A,k6_domain_1(u1_struct_0(A),E)),k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) ) ) ) ) ) ) )).
fof(l7_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,B,C,E,D) ) ) ) ) ) ) )).
fof(l7_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_diraf(A,B,D,D,C) ) ) ) ) )).
fof(l7_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => k1_algstr_0(k3_algstr_0,A,k4_struct_0(k3_algstr_0)) = A ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => k1_algstr_0(k3_algstr_0,k4_struct_0(k3_algstr_0),A) = A ) )).
fof(l7_algstr_3,axiom,( v1_xreal_0(1) & v1_xreal_0(k5_numbers) )).
fof(l7_altcat_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [C] : ( m1_subset_1(C,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) => C = k1_xboole_0 ) ) ) )).
fof(l7_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_extpro_1(A)))) => k6_compos_0(u1_compos_1(k1_extpro_1(A)),B) = k1_tarski(k5_numbers) ) ) )).
fof(l7_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( r1_analmetr(A,D,E) => ( k2_geomtrap(A,D,E,k3_rlvect_1(A,B,C)) = k2_xcmplx_0(k2_geomtrap(A,D,E,B),k2_geomtrap(A,D,E,C)) & k3_geomtrap(A,D,E,k3_rlvect_1(A,B,C)) = k2_xcmplx_0(k3_geomtrap(A,D,E,B),k3_geomtrap(A,D,E,C)) & k2_geomtrap(A,D,E,k5_algstr_0(A,B,C)) = k6_xcmplx_0(k2_geomtrap(A,D,E,B),k2_geomtrap(A,D,E,C)) & k3_geomtrap(A,D,E,k5_algstr_0(A,B,C)) = k6_xcmplx_0(k3_geomtrap(A,D,E,B),k3_geomtrap(A,D,E,C)) & k2_geomtrap(A,D,E,k1_rlvect_1(A,B,F)) = k3_xcmplx_0(F,k2_geomtrap(A,D,E,B)) & k3_geomtrap(A,D,E,k1_rlvect_1(A,B,F)) = k3_xcmplx_0(F,k3_geomtrap(A,D,E,B)) ) ) ) ) ) ) ) ) )).
fof(l7_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => k1_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,C,G),k1_rlvect_1(A,D,H)),k1_rlvect_1(A,B,I)),k1_rlvect_1(A,E,J)),F) = k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,C,k3_xcmplx_0(F,G)),k1_rlvect_1(A,D,k3_xcmplx_0(F,H))),k1_rlvect_1(A,B,k3_xcmplx_0(F,I))),k1_rlvect_1(A,E,k3_xcmplx_0(F,J))) ) ) ) ) ) ) ) ) ) ) )).
fof(l7_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,A,k1_zfmisc_1(k3_card_3(B))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(k3_card_3(B))))) ) ) )).
fof(l7_arithm,axiom,( k3_arytm_0(c1__arithm) = k5_numbers )).
fof(l7_arytm_2,axiom,( r1_tarski(k2_arytm_2,k2_xboole_0(k5_arytm_3,a_0_0_arytm_2)) )).
fof(l7_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(C,k5_numbers) & C != 1 & k2_power(A,B) != k2_power(C,k3_xcmplx_0(B,k3_power(C,A))) ) ) ) ) )).
fof(l7_bhsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k3_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1),A,B),C)) = k3_real_1(k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),A,C)),k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),B,C))) ) ) ) )).
fof(l7_collsp,axiom,( m1_collsp(k1_tarski(k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,1,1)),c2__collsp) )).
fof(l7_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_arytm_0(k3_complex1(A),k4_complex1(A)) = A ) )).
fof(l7_comptrig,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k7_xcmplx_0(k28_sin_cos,2)),k2_xcmplx_0(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l7_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_rlvect_2(D,A,C) => ( ( v2_convex1(D,A) & r1_tarski(C,B) ) => r2_tarski(k6_rlvect_2(A,D),B) ) ) ) ) ) )).
fof(l7_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) & v2_cqc_the1(k8_cqc_lang(A,B,D),A) ) => v2_cqc_the1(k8_cqc_lang(A,B,k7_cqc_lang(A,C,D)),A) ) ) ) ) ) )).
fof(l7_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v1_comseq_3(A) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k1_funct_1(k7_comseq_3(A),B)) & k1_funct_1(k8_comseq_3(A),B) = k5_numbers ) ) ) => k9_complex1(k11_comseq_3(A)) = k4_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)) ) ) )).
fof(l7_csspace3,axiom,( ~ v2_struct_0(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v13_algstr_0(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v2_rlvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v3_rlvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v4_rlvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v2_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v3_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v4_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & v5_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) & l1_clvect_1(g1_clvect_1(k1_csspace3,k8_csspace(k5_csspace,k1_csspace3),k6_csspace(k5_csspace,k1_csspace3),k7_csspace(k5_csspace,k1_csspace3))) )).
fof(l7_csspace4,axiom,( m1_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4)),k5_csspace) )).
fof(l7_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_endalg(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_endalg(A))) => ( C = k6_partfun1(u1_struct_0(A)) => ( k6_algstr_0(k3_endalg(A),B,C) = B & k6_algstr_0(k3_endalg(A),C,B) = B ) ) ) ) ) )).
fof(l7_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => k4_euclid_3(A,B,C) != k2_xcmplx_0(k3_xcmplx_0(2,k4_euclid_3(D,E,F)),k3_xcmplx_0(4,k28_sin_cos)) ) ) ) ) ) ) )).
fof(l7_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,B) & ! [C] : ( v7_ordinal1(C) => A != k2_xcmplx_0(k1_nat_1(B,1),C) ) ) ) ) )).
fof(l7_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => k22_rvsum_1(A,B) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,1)),k3_xcmplx_0(k1_funct_1(A,2),k1_funct_1(B,2))),k3_xcmplx_0(k1_funct_1(A,3),k1_funct_1(B,3))) ) ) )).
fof(l7_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(k1_funct_1(k16_sin_cos,A),k5_numbers) & ~ r1_xxreal_0(1,k1_funct_1(k18_sin_cos,A)) & ~ r1_xxreal_0(k1_funct_1(k18_sin_cos,A),k4_xcmplx_0(1)) & k7_xcmplx_0(k1_funct_1(k16_sin_cos,A),k6_prepower(k2_xcmplx_0(1,k1_funct_1(k18_sin_cos,A)),k7_xcmplx_0(1,2))) != k6_prepower(k6_xcmplx_0(1,k1_funct_1(k18_sin_cos,A)),k7_xcmplx_0(1,2)) ) ) )).
fof(l7_fib_fusc,axiom,( k10_ami_3(k5_numbers) != k10_ami_3(1) )).
fof(l7_fib_num,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(l7_fib_num4,axiom,( k3_xcmplx_0(k1_fib_num,k2_fib_num) = k4_xcmplx_0(1) )).
fof(l7_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_setwiseo(B,A) => k1_finsop_1(A,k6_finseq_1(A),B) = k3_binop_1(A,B) ) ) ) )).
fof(l7_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,k1_funct_2(A,B)) => r1_tarski(k3_tarski(C),k2_zfmisc_1(A,B)) ) )).
fof(l7_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ ( B = k1_xboole_0 & k6_unialg_2(A) = k1_xboole_0 ) => ( m1_freealg(B,A) <=> u1_struct_0(k7_unialg_2(A,B)) = u1_struct_0(A) ) ) ) ) )).
fof(l7_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_tarski(C,k9_xtuple_0(D)) ) ) ) ) )).
fof(l7_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => r2_tarski(B,k1_glib_002(A,B)) ) ) )).
fof(l7_gobrd10,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,A) ) => k1_funct_1(k5_finseq_2(k4_ordinal1,A,B),C) = B ) ) ) ) )).
fof(l7_gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( v2_connsp_1(k2_pre_topc(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))),k4_connsp_3(k15_euclid(2),k3_goboard9(A),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))),k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) & k4_connsp_3(k15_euclid(2),k3_goboard9(A),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))) = k3_goboard9(A) & v3_connsp_1(k4_connsp_3(k15_euclid(2),k3_goboard9(A),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))),k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) ) ) )).
fof(l7_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_group_4(A,k4_group_4(A,k6_finseq_1(k4_numbers),k5_finseq_2(u1_struct_0(A),k3_finseq_1(k6_finseq_1(k4_numbers)),B))) = k5_group_1(A,B,k1_gr_cy_1(k6_finseq_1(k4_numbers))) ) ) )).
fof(l7_graph_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) ) => k1_funct_1(C,A) = k1_funct_1(k7_finseq_1(B,C),k2_xcmplx_0(k3_finseq_1(B),A)) ) ) ) ) )).
fof(l7_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) ) => k1_funct_1(C,A) = k1_funct_1(k7_finseq_1(B,C),k2_xcmplx_0(k3_finseq_1(B),A)) ) ) ) ) )).
fof(l7_grfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k4_tarski(A,C),k1_tarski(k4_tarski(B,D))) => ( A = B & C = D ) ) )).
fof(l7_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ? [C] : ( ~ v2_struct_0(C) & l1_group_9(C,A) & v2_group_9(C,A) & v3_group_9(C,A) & v2_group_1(C) & v3_group_1(C) & B = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) ) ) )).
fof(l7_holder_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(l7_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_aff_1(A,D,B,C) & r1_aff_1(A,D,B,F) ) => ( D = B | D = C | ( ~ ( ~ r1_aff_1(A,D,B,E) & r1_aff_1(A,D,E,F) & r2_analoaf(A,B,E,C,F) ) & ~ ( r1_aff_1(A,D,B,E) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,D,B,G) & r1_aff_1(A,D,G,H) & r2_analoaf(A,B,G,C,H) & r2_analoaf(A,G,E,H,F) & r1_aff_1(A,D,B,F) ) ) ) ) | r1_aff_1(A,D,B,E) ) ) ) ) ) ) ) ) )).
fof(l7_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) <=> r1_int_1(k4_xcmplx_0(A),B) ) ) ) )).
fof(l7_int_3,axiom,( ! [A] : ( v1_int_1(A) => ( A = k5_numbers | r1_xxreal_0(1,k1_funct_1(k2_euclid,A)) ) ) )).
fof(l7_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k3_finseq_1(k18_valued_1(A,B)) = k3_finseq_1(A) ) ) ) )).
fof(l7_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ~ ( r1_tarski(B,k22_pre_poly(k8_newton,A)) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k8_newton) & v1_funct_1(D) & v1_partfun1(D,k8_newton) & v4_valued_0(D) & v2_pre_poly(D) ) => ~ ( k22_pre_poly(k8_newton,C) = k7_subset_1(k8_newton,k22_pre_poly(k8_newton,A),B) & k22_pre_poly(k8_newton,D) = B & r1_xboole_0(k22_pre_poly(k8_newton,C),k22_pre_poly(k8_newton,D)) & k5_relat_1(C,k22_pre_poly(k8_newton,C)) = k5_relat_1(A,k22_pre_poly(k8_newton,C)) & k5_relat_1(D,k22_pre_poly(k8_newton,D)) = k5_relat_1(A,k22_pre_poly(k8_newton,D)) & r8_pboole(k8_newton,k11_pre_poly(k8_newton,C,D),A) ) ) ) ) ) )).
fof(l7_integr20,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r1_tarski(C,k1_relset_1(A,D)) => ( v1_funct_1(k2_partfun1(A,B,D,C)) & v1_funct_2(k2_partfun1(A,B,D,C),C,B) & m1_subset_1(k2_partfun1(A,B,D,C),k1_zfmisc_1(k2_zfmisc_1(C,B))) ) ) ) ) ) ) )).
fof(l7_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_integra1(A)) => ( k3_integra1(A) = k5_numbers => ( v1_integra1(B,A) & k10_integra1(A,B) = k5_numbers ) ) ) ) ) )).
fof(l7_integra6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(A,k9_xtuple_0(B)) => ( v1_funct_1(k1_integra5(B,A)) & v1_funct_2(k1_integra5(B,A),A,k1_numbers) & m1_subset_1(k1_integra5(B,A),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) ) )).
fof(l7_jordan1c,axiom,( k3_pcomps_1(k14_euclid(2)) = g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) )).
fof(l7_jordan1h,axiom,( r4_relat_2(k1_jordan1h,k1_numbers) )).
fof(l7_jordan22,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(1,k3_finseq_1(k1_jordan8(A,B))) ) ) )).
fof(l7_jordan24,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => r2_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jordan24(A),k1_jordan24(k2_xcmplx_0(A,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)))) ) ) )).
fof(l7_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v3_rcomp_1(A) => r2_tarski(A,k2_pcomps_1(k7_metric_1)) ) ) )).
fof(l7_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,A) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k1_relset_1(k1_numbers,C)) & r1_xxreal_0(D,k1_funct_1(C,F)) ) ) ) ) & v2_comseq_2(B) & k1_seq_2(B) = A & r1_tarski(k2_relset_1(k1_numbers,B),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k3_limfunc1(A))) ) => v2_limfunc1(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(l7_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,B,D),E),k8_cqc_lang(A,k8_cqc_lang(A,C,D),E))),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(l7_matrix17,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k2_finseq_1(A)) & r2_tarski(C,k2_finseq_1(A)) ) => ( k2_xcmplx_0(B,C) = k2_xcmplx_0(A,1) | r2_hidden(k5_int_1(k6_xcmplx_0(k2_xcmplx_0(B,C),1),A),k2_finseq_1(A)) ) ) ) ) ) )).
fof(l7_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => k4_finseq_1(k5_matrlin(A,B,D,C)) = k9_subset_1(k4_ordinal1,k4_finseq_1(D),k4_finseq_1(C)) ) ) ) ) )).
fof(l7_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m2_measure8(k7_funcop_1(k4_ordinal1,A),A,B) ) )).
fof(l7_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => k2_memstr_0(A,k1_memstr_0(A)) = k17_funcop_1(k5_numbers,k4_ordinal1) ) )).
fof(l7_mesfunc7,axiom,( r3_binop_1(k6_numbers,k18_supinf_2,k1_mesfunc7) )).
fof(l7_metrizts,axiom,( ! [A] : ( ( v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => v1_xboole_0(k2_waybel23(A)) ) )).
fof(l7_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m2_finseq_2(E,C,k4_finseq_2(A,C)) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k7_subset_1(k4_ordinal1,k4_finseq_1(E),k1_tarski(B))) => k1_funct_1(k1_midsp_3(C,A,E,B,D),F) = k1_funct_1(E,F) ) ) ) ) ) ) ) )).
fof(l7_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_mod_4(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_mod_4(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_mod_4(A))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_mod_4(A))) => ( ( B = F & C = G & D = H & E = I ) => ( k1_algstr_0(A,k1_algstr_0(A,B,C),D) = k1_algstr_0(k2_mod_4(A),k1_algstr_0(k2_mod_4(A),F,G),H) & k1_algstr_0(A,B,k1_algstr_0(A,C,D)) = k1_algstr_0(k2_mod_4(A),F,k1_algstr_0(k2_mod_4(A),G,H)) & k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(k2_mod_4(A),H,k6_algstr_0(k2_mod_4(A),G,F)) & k6_algstr_0(A,B,k6_algstr_0(A,C,D)) = k6_algstr_0(k2_mod_4(A),k6_algstr_0(k2_mod_4(A),H,G),F) & k6_algstr_0(A,B,k1_algstr_0(A,C,D)) = k6_algstr_0(k2_mod_4(A),k1_algstr_0(k2_mod_4(A),G,H),F) & k6_algstr_0(A,k1_algstr_0(A,C,D),B) = k6_algstr_0(k2_mod_4(A),F,k1_algstr_0(k2_mod_4(A),G,H)) & k1_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,D,E)) = k1_algstr_0(k2_mod_4(A),k6_algstr_0(k2_mod_4(A),G,F),k6_algstr_0(k2_mod_4(A),I,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l7_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v3_modelc_2(A) | v6_modelc_2(A) ) => r2_modelc_2(k10_modelc_2(A),A) ) ) )).
fof(l7_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( ~ ( r2_tarski(D,k6_dtconstr(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ~ ( r2_tarski(F,k1_funct_1(u3_msualg_1(A,B),E)) & D = k4_tarski(F,E) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(C,E)) => D != k4_tarski(F,E) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ! [F] : ( ( r2_tarski(F,k1_funct_1(u3_msualg_1(A,B),E)) & D = k4_tarski(F,E) ) => r2_tarski(D,k6_dtconstr(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))) ) & ! [F] : ( m1_subset_1(F,k1_funct_1(C,E)) => ( D = k4_tarski(F,E) => r2_tarski(D,k6_dtconstr(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))) ) ) ) ) ) ) ) ) )).
fof(l7_mssublat,axiom,( m1_subset_1(k5_numbers,k1_tarski(k5_numbers)) )).
fof(l7_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( v1_finset_1(k1_enumset1(A,B,C)) & m1_subset_1(k1_enumset1(A,B,C),k1_zfmisc_1(k4_ordinal1)) ) ) ) ) )).
fof(l7_net_1,axiom,( v1_net_1(g1_petri(k1_xboole_0,k1_xboole_0,k1_partit_2(k1_xboole_0,k1_xboole_0),k1_partit_2(k1_xboole_0,k1_xboole_0))) )).
fof(l7_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(A,k5_ordinal1),k1_newton(B,k5_ordinal1)),k1_newton(C,k5_ordinal1)) ) ) ) )).
fof(l7_normsp_1,axiom,( ~ v2_struct_0(g1_normsp_1(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_normsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_normsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_normsp_1)),c2__normsp_1)) & l1_normsp_1(g1_normsp_1(u1_struct_0(k1_rlsub_1(o_0_5_normsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_normsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_normsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_normsp_1)),c2__normsp_1)) )).
fof(l7_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( k8_nat_1(k4_ordinal1,C,k5_numbers) = k1_int_2(A) & k8_nat_1(k4_ordinal1,D,k5_numbers) = k1_int_2(B) & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_ordinal1,C,k1_nat_1(E,1)) = k8_nat_1(k4_ordinal1,D,E) & k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1)) = k4_nat_d(k8_nat_1(k4_ordinal1,C,E),k8_nat_1(k4_ordinal1,D,E)) ) ) ) => ( ~ v1_xboole_0(a_1_0_ntalgo_1(D)) & m1_subset_1(a_1_0_ntalgo_1(D),k1_zfmisc_1(k4_ordinal1)) ) ) ) ) ) ) )).
fof(l7_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),c1__ortsp_1),c1__ortsp_1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),c1__ortsp_1),c1__ortsp_1))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,c1__ortsp_1) => k1_funct_1(B,k4_tarski(C,D)) = c2__ortsp_1 ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1))) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_symsp_1(D,A) ) => ( D = g1_symsp_1(A,c1__ortsp_1,c3__ortsp_1,c2__ortsp_1,B,C) => ( v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) ) ) ) ) ) ) ) )).
fof(l7_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k8_group_1(A,k8_group_1(A,D,E),k8_group_1(A,B,C)) = k8_group_1(A,k8_group_1(A,k8_group_1(A,B,D),E),C) ) ) ) ) ) )).
fof(l7_petri_2,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,A))) ) => ~ ( ~ r1_tarski(D,C) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ~ ( k2_partfun1(B,A,G,C) = E & k2_partfun1(B,A,G,D) != F ) ) ) ) ) ) ) ) )).
fof(l7_poset_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(B)) & v5_orders_3(G,B,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( r3_orders_2(B,C,E) & D = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),G,A),C) & F = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),G,A),E) ) => r3_orders_2(B,D,F) ) ) ) ) ) ) ) ) )).
fof(l7_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( v6_orders_2(C,k3_yellow_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => ( ~ v1_xboole_0(C) => r1_yellow_0(k3_yellow_3(A,B),C) ) ) ) ) )).
fof(l7_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => v2_binop_1(u2_algstr_0(A),u1_struct_0(A)) ) )).
fof(l7_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ~ ( r2_tarski(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => C != k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,E) ) ) ) ) ) )).
fof(l7_pua2mss1,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ! [D] : ! [E] : ( ( r2_tarski(C,D) & r2_tarski(D,B) & r2_tarski(C,E) & r2_tarski(E,B) ) => D = E ) ) )).
fof(l7_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( r1_tarski(k2_zfmisc_1(k1_tarski(4),k1_qc_lang1(A)),k2_qc_lang1(A)) & r1_tarski(k2_zfmisc_1(k1_tarski(5),k1_qc_lang1(A)),k2_qc_lang1(A)) & r1_tarski(k2_zfmisc_1(k1_tarski(6),k4_ordinal1),k2_qc_lang1(A)) ) ) )).
fof(l7_qmax_1,axiom,( ! [A] : ( m1_prob_1(A,k1_numbers,k12_prob_1) => r1_xxreal_0(k5_numbers,k3_funct_2(k12_prob_1,k1_numbers,c2__qmax_1,A)) ) )).
fof(l7_quaterni,axiom,( r2_zfmisc_1(k5_numbers,1,2,3) )).
fof(l7_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_mesfunc6(A,B,C) => v5_xxreal_2(k1_rvsum_1(C)) ) ) ) ) )).
fof(l7_rat_1,axiom,( ! [A] : ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( A = k7_xcmplx_0(B,C) => r2_hidden(A,k3_numbers) ) ) ) )).
fof(l7_real_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_real_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_real_lat)) => k2_lattices(k3_real_lat,A,k1_lattices(k3_real_lat,A,B)) = A ) ) )).
fof(l7_realset2,axiom,( ~ v1_zfmisc_1(2) )).
fof(l7_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_domain_1(u1_struct_0(A),k1_algstr_0(A,B,C)) = k5_rusub_4(A,k6_domain_1(u1_struct_0(A),C),B) ) ) ) )).
fof(l7_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_rlaffin2(A,B),k3_convex1(A,B)) ) ) )).
fof(l7_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => r1_tarski(u1_struct_0(B),u1_struct_0(k1_rlsub_2(A,B,C))) ) ) ) )).
fof(l7_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => r1_tarski(u1_struct_0(C),u1_struct_0(k1_rmod_3(A,B,C,D))) ) ) ) ) )).
fof(l7_roughs_2,axiom,( ! [A] : ( l1_orders_2(A) => ( r1_relat_2(u1_orders_2(A),u1_struct_0(A)) => v2_roughs_2(A) ) ) )).
fof(l7_rsspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & v2_comseq_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k8_nat_1(k1_numbers,B,E),A),k6_xcmplx_0(k8_nat_1(k1_numbers,B,E),A)),k8_nat_1(k1_numbers,C,E)) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_seq_2(B),A),k6_xcmplx_0(k1_seq_2(B),A)),k1_seq_2(C)) ) ) ) ) ) ) ) )).
fof(l7_rsspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k10_subset_1(k5_numbers,k1_numbers) ) => ( v1_comseq_2(A) & k2_seq_4(k2_relset_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,A))) = k5_numbers ) ) ) )).
fof(l7_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => r1_tarski(u1_struct_0(B),u1_struct_0(k1_rusub_2(A,B,C))) ) ) ) )).
fof(l7_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ~ r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_7(B,k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k11_scmfsa_2(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A))),A) ) ) )).
fof(l7_scmfsa6c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_scmfsa6b(A) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(k1_scmfsa6b(A,B,C))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(A,B,C)) ) ) ) )).
fof(l7_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v1_int_1(D) => ( r1_tarski(k2_scmfsa_7(C,D),B) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k1_afinsq_1(k2_scmfsa_7(C,D))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,E)) = E ) ) ) ) ) ) ) )).
fof(l7_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ( ( r1_xxreal_0(3,D) & r1_scpisort(E,B,D) & k3_finseq_1(E) = C & k1_funct_1(B,k1_scmp_gcd(1)) = k5_numbers & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(2)) = k4_xcmplx_0(C) & k1_funct_1(B,k1_scmp_gcd(3)) = k1_nat_1(D,1) ) => ( k1_funct_1(k6_scmpds_4(k1_scmpds_8(k2_scmp_gcd,2,k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k1_scmp_gcd(1)) = k1_gr_cy_1(E) & r1_scmpds_6(k1_scmpds_8(k2_scmp_gcd,2,k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1))),B,A) & r2_scmpds_6(k1_scmpds_8(k2_scmp_gcd,2,k3_scmpds_4(k4_scmpds_4(k12_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),1,k5_numbers),k11_scmpds_2(k2_scmp_gcd,2,1)),k11_scmpds_2(k2_scmp_gcd,3,1))),B,A) ) ) ) ) ) ) ) )).
fof(l7_series_2,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_newton(k2_xcmplx_0(A,1),4) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,4),k3_xcmplx_0(4,k1_newton(A,3))),k3_xcmplx_0(6,k1_newton(A,2))),k3_xcmplx_0(4,A)),1) & k1_newton(k2_xcmplx_0(A,1),5) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,5),k3_xcmplx_0(5,k1_newton(A,4))),k3_xcmplx_0(10,k1_newton(A,3))),k3_xcmplx_0(10,k1_newton(A,2))),k3_xcmplx_0(5,A)),1) ) ) )).
fof(l7_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_xcmplx_0(k1_newton(A,3),k1_newton(B,3)) = k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),k3_xcmplx_0(A,B)),k1_square_1(B))) ) ) )).
fof(l7_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => k7_xcmplx_0(1,k2_xcmplx_0(k2_prepower(2,k1_nat_1(A,2)),k2_prepower(2,k1_nat_1(A,1)))) = k6_xcmplx_0(k2_prepower(2,k1_nat_1(A,2)),k2_prepower(2,k1_nat_1(A,1))) ) )).
fof(l7_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(1,k9_complex1(A)) & r1_xxreal_0(1,k1_square_1(A)) ) ) )).
fof(l7_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(k15_sin_cos(A),k15_sin_cos(k4_xcmplx_0(A))) = 1 ) )).
fof(l7_sin_cos6,axiom,( k1_rcomp_1(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers)),k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))) = k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)) )).
fof(l7_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k2_xcmplx_0(A,B) != k5_numbers & k2_sin_cos2(k2_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2))) = k5_numbers ) ) ) )).
fof(l7_sincos10,axiom,( r1_tarski(k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k2_rcomp_1(k5_numbers,k28_sin_cos)) )).
fof(l7_sprect_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & k2_goboard9(A) = k3_goboard9(A) ) ) )).
fof(l7_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)))) => ( ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers))) & ? [E] : ( m1_subset_1(E,k1_tarski(k5_numbers)) & ? [F] : ( m1_subset_1(F,k1_tarski(k5_numbers)) & D = k1_domain_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers),E,F) & F = c2__symsp_1 ) ) ) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_symsp_1(D,A) ) => ( D = g1_symsp_1(A,k1_tarski(k5_numbers),c3__symsp_1,c2__symsp_1,B,C) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ~ ( E != k4_struct_0(D) & ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => r1_orders_2(D,F,E) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_orders_2(D,E,F) => r1_orders_2(D,k3_vectsp_1(A,D,G,E),F) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ( ( r1_orders_2(D,F,E) & r1_orders_2(D,G,E) ) => r1_orders_2(D,k3_rlvect_1(D,F,G),E) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ~ ( ~ r1_orders_2(D,F,E) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ r1_orders_2(D,k5_algstr_0(D,G,k3_vectsp_1(A,D,H,F)),E) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ( ( r1_orders_2(D,E,k3_rlvect_1(D,F,G)) & r1_orders_2(D,F,k3_rlvect_1(D,G,E)) ) => r1_orders_2(D,G,k3_rlvect_1(D,E,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l7_taylor_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_xreal_0(B) => k6_prepower(k23_sin_cos(B),A) = k23_sin_cos(k3_xcmplx_0(A,B)) ) ) )).
fof(l7_topalg_5,axiom,( k2_struct_0(k5_topmetr) = u1_struct_0(k5_topmetr) )).
fof(l7_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) ) => ~ ( ! [D] : ( v7_ordinal1(D) => ( v1_topdim_1(k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,D),B) & r1_xxreal_0(k2_topdim_1(B,k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,D)),A) & v5_topgen_4(k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,D),B) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ~ ( v2_tops_2(D,B) & v2_topdim_1(D,B) & r1_xxreal_0(k3_topdim_1(B,D),A) & v4_card_3(D) & k1_prob_1(u1_struct_0(B),C) = k5_setfam_1(u1_struct_0(B),D) ) ) ) ) ) ) )).
fof(l7_topgen_6,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) & u1_pre_topc(k2_topgen_3) = k1_cantor_1(k1_numbers,A) & A = a_0_1_topgen_6 ) )).
fof(l7_topreal2,axiom,( k18_euclid(k19_euclid(k5_numbers,1)) = 1 )).
fof(l7_toprealb,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,1),k7_xcmplx_0(k28_sin_cos,2)) )).
fof(l7_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,A) & v3_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_funct_2(A,A,k1_transgeo(A,B,C),k1_transgeo(A,B,D)) => r2_funct_2(A,A,C,D) ) ) ) ) ) )).
fof(l7_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => ( r1_aff_1(A,B,C,D) | D = E | ( ~ r1_aff_1(A,D,E,B) & ~ r1_aff_1(A,C,B,E) & ~ r1_aff_1(A,E,D,C) ) ) ) ) ) ) ) ) )).
fof(l7_tsep_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ( v1_pre_topc(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) & m1_pre_topc(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)),A) ) ) ) )).
fof(l7_tsp_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ~ v6_pre_topc(A) ) )).
fof(l7_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v4_vectsp_1(A) => k5_struct_0(A) = k1_group_1(A) ) ) )).
fof(l7_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => r1_tarski(u1_struct_0(C),u1_struct_0(k1_vectsp_5(A,B,C,D))) ) ) ) ) )).
fof(l7_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,B) ) => ( ( g1_orders_2(u1_struct_0(C),u1_orders_2(C)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) & r1_funct_2(u1_struct_0(C),u1_struct_0(A),u1_struct_0(D),u1_struct_0(B),u1_waybel_0(A,C),u1_waybel_0(B,D)) ) => r1_tarski(a_2_1_waybel33(A,C),a_2_1_waybel33(B,D)) ) ) ) ) ) ) )).
fof(l7_waybel_9,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_waybel_0(A,B) = a_2_2_waybel_9(A,B) ) ) )).
fof(l7_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ! [B] : ( v7_ordinal1(B) => ( A != k3_xcmplx_0(2,B) & A != k1_nat_1(k3_xcmplx_0(2,B),1) ) ) ) )).
fof(l7_xcmplx_0,axiom,( r2_tarski(1,k1_numbers) )).
fof(l7_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => r1_xxreal_0(A,C) ) ) ) ) )).
fof(l7_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k6_xcmplx_0(A,C),k6_xcmplx_0(B,C)) ) ) ) ) )).
fof(l7_xxreal_0,axiom,( r2_tarski(k5_numbers,k1_numbers) )).
fof(l7_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v4_orders_2(A) <=> v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(l7_zf_fund2,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( r1_zf_model(B,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(A,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) => ( r2_tarski(k2_zf_lang(4),k2_zf_model(A)) | ! [D] : ( m1_subset_1(D,B) => k7_relset_1(B,B,k1_zfmodel1(A,B,C),D) = k1_xboole_0 ) ) ) ) ) ) )).
fof(l7_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ( ( v2_zf_lang(A) => k4_zf_model(A,B) = a_2_2_zf_model(A,B) ) & ( v3_zf_lang(A) => k4_zf_model(A,B) = a_2_3_zf_model(A,B) ) & ( v4_zf_lang(A) => k4_zf_model(A,B) = k6_subset_1(k3_zf_model(B),k4_zf_model(k19_zf_lang(A),B)) ) & ( v5_zf_lang(A) => ! [C] : ! [D] : ( ( C = k4_zf_model(k20_zf_lang(A),B) & D = k4_zf_model(k21_zf_lang(A),B) ) => k4_zf_model(A,B) = k3_xboole_0(C,D) ) ) & ( v6_zf_lang(A) => k4_zf_model(A,B) = a_2_4_zf_model(A,B) ) ) ) ) )).
fof(l7_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k1_zmodul03(A)) & ! [D] : ( ( v1_zmodul01(D) & v1_zmodul03(D) & m1_zmodul01(D,A) ) => k1_zmodul03(D) != C ) ) ) ) ) )).
fof(l80_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) & l1_rlvect_1(A) ) => v4_anproj_2(k5_anproj_1(A)) ) )).
fof(l80_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_bcialg_1(A,B) = B ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,C) = k1_bcialg_1(A,C,B) ) ) ) ) )).
fof(l80_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(A))) => ~ ( ~ r1_xxreal_0(A,3) & k4_ec_pf_1(A,B,C) != k4_struct_0(k9_int_3(A)) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ~ ( k9_xtuple_0(F) = k2_finseq_1(A) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k9_xtuple_0(F)) => k1_funct_1(F,G) = a_4_2_ec_pf_1(A,B,C,G) ) ) & v1_prob_2(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k9_xtuple_0(F)) => v1_finset_1(k1_funct_1(F,G)) ) ) & k3_card_3(F) = a_3_1_ec_pf_1(A,B,C) ) ) ) ) ) ) ) ) )).
fof(l80_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_tarski(k16_ens_1(B),A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_ens_1(A))) => ( E = k2_cat_1(B,D,C) => k3_funct_2(u4_struct_0(B),k2_ens_1(k16_ens_1(B)),k20_ens_1(B,C),k4_cat_1(B,D)) = k4_cat_1(k11_ens_1(A),E) ) ) ) ) ) ) ) )).
fof(l80_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_enumset1(A,B,C,D) = k2_enumset1(B,C,A,D) )).
fof(l80_fib_num4,axiom,( ~ r1_xxreal_0(k6_xcmplx_0(k3_square_1(5),1),k6_xcmplx_0(1,1)) & ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l80_finseq_3,axiom,( ! [A] : ! [B] : ( k1_finseq_3(k9_finseq_1(A),B) = k1_xboole_0 <=> r2_hidden(A,B) ) )).
fof(l80_fomodel0,axiom,( ! [A] : ! [B] : k10_fomodel0(A,B) = k1_funct_4(k8_funcop_1(k4_ordinal1,k6_subset_1(B,A),k5_numbers),k8_funcop_1(k4_ordinal1,k3_xboole_0(A,B),1)) )).
fof(l80_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v1_relat_1(C) => ( r2_tarski(C,k15_fomodel2(A,B)) => k9_xtuple_0(C) = k37_fomodel1(A) ) ) ) ) )).
fof(l80_fomodel3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v13_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( v3_fomodel2(E,B,A) => k37_fomodel3(B,C,D,E) = k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(B),k30_fomodel2(B)),k32_fomodel3(B,C,D,k36_fomodel3(B,C,D)),A),E) ) ) ) ) ) ) )).
fof(l80_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(C)),k1_fomodel4(C)))) => ( r2_tarski(B,k1_funct_1(k23_fomodel4(C,D),A)) <=> ( r2_tarski(B,k1_fomodel4(C)) & r2_hidden(k4_tarski(A,B),D) ) ) ) ) )).
fof(l80_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,B) => k1_funct_4(B,A) = B ) ) ) )).
fof(l80_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ( r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) => ( r2_analoaf(k7_geomtrap(A,B,C),F,G,D,E) & r2_analoaf(k7_geomtrap(A,B,C),E,D,G,F) ) ) ) ) ) ) ) ) ) )).
fof(l80_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_relset_1(k4_ordinal1,k7_glib_000(A),k12_glib_001(A,k8_glib_001(A,B,1,C)),k12_glib_001(A,B)) ) ) ) )).
fof(l80_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k1_funct_2(B,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ( r1_group_9(A,B,E,D) => r1_tarski(k7_relset_1(B,B,k2_group_9(A,B,E,C),D),D) ) ) ) ) )).
fof(l80_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A,k4_hilbert1(B,C)),k4_hilbert1(k4_hilbert1(A,C),B)),k6_hilbert1) ) ) ) )).
fof(l80_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,C),B),k4_intpro_1(k4_intpro_1(C,A),B)),k8_intpro_1) ) ) ) )).
fof(l80_jgraph_5,axiom,( k18_euclid(k19_euclid(k5_numbers,1)) = 1 )).
fof(l80_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => k1_vectsp_9(B,k7_matrix15(B,k3_matrix_1(B,A))) = k5_numbers ) ) )).
fof(l80_matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ! [E] : ( ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => k2_matrix13(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k5_matrixj1(u1_struct_0(A),D,E))),k1_wsierp_1(k11_matrixj1(u1_struct_0(A),k5_matrixj1(u1_struct_0(A),D,E))),A,k13_matrixj1(u1_struct_0(A),C,k5_matrixj1(u1_struct_0(A),D,E)),B) = k13_matrixj1(u1_struct_0(A),k8_group_1(A,B,C),k5_matrixj1(u1_struct_0(A),k6_matrix_3(A,D,B),k6_matrix_3(A,E,B))) ) ) ) ) ) )).
fof(l80_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k5_member_1(k9_member_1(A,B)) = k9_member_1(k5_member_1(A),k5_member_1(B)) ) ) )).
fof(l80_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ~ v1_xboole_0(k7_relat_1(B,k1_tarski(C))) ) ) ) )).
fof(l80_newton,axiom,( k9_newton(2) = k1_xboole_0 )).
fof(l80_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => k2_lattices(k11_normform(A),B,C) = k2_lattices(k11_normform(A),C,B) ) ) )).
fof(l80_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v11_o_ring_1(B,A) & v9_o_ring_1(C,A) ) => v11_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l80_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u4_struct_0(A),u4_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(C)))) ) => r2_funct_2(u4_struct_0(B),u4_struct_0(C),k9_oppcat_1(B,C,k1_partfun1(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),u4_struct_0(A),u4_struct_0(C),D,E)),k1_partfun1(u4_struct_0(B),u4_struct_0(A),u4_struct_0(A),u4_struct_0(C),k9_oppcat_1(B,A,D),E)) ) ) ) ) ) )).
fof(l80_pepin,axiom,( k11_newton(3,8) = 6561 )).
fof(l80_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k21_quaterni(A,k16_quaterni) = A ) )).
fof(l80_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => k11_comseq_3(k3_sin_cos(A)) = k4_series_1(k4_sin_cos(A)) ) )).
fof(l80_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)))) = k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)) )).
fof(l80_srings_2,axiom,( k4_setfam_1(k1_srings_2,k1_srings_2) = k2_xboole_0(k1_srings_2,k5_enumset1(k1_enumset1(1,3,4),k1_enumset1(1,2,4),k2_tarski(2,3),k2_tarski(1,3),k2_tarski(1,2),k2_tarski(3,4),k2_tarski(2,4))) )).
fof(l81_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) & l1_rlvect_1(A) ) => v5_anproj_2(k5_anproj_1(A)) ) )).
fof(l81_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(A,B) => r1_xxreal_0(k7_xcmplx_0(k4_newton(A,k1_nat_1(B,1)),k1_nat_1(B,1)),k4_newton(A,B)) ) ) ) )).
fof(l81_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k28_coh_sp(A))) => ! [C] : ( m1_subset_1(C,k16_coh_sp(A)) => ( B = C => ! [D] : ( m1_cat_1(D,k28_coh_sp(A),B,B) => ( D = k23_coh_sp(A,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(k28_coh_sp(A))) => ( ( k2_cat_1(k28_coh_sp(A),B,E) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k28_coh_sp(A),B,E) => k1_cat_1(k28_coh_sp(A),D,F) = F ) ) & ( k2_cat_1(k28_coh_sp(A),E,B) != k1_xboole_0 => ! [F] : ( m1_cat_1(F,k28_coh_sp(A),E,B) => k1_cat_1(k28_coh_sp(A),F,D) = F ) ) ) ) ) ) ) ) ) )).
fof(l81_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(B)))) => ~ ( ! [D] : ! [E] : ( r2_tarski(k2_tarski(D,E),A) => ! [F] : ! [G] : ( ( r2_hidden(k4_tarski(D,F),C) & r2_hidden(k4_tarski(E,G),C) ) => r2_tarski(k2_tarski(F,G),B) ) ) & ! [D] : ! [E] : ( r2_tarski(k2_tarski(D,E),A) => ! [F] : ( ( r2_hidden(k4_tarski(D,F),C) & r2_hidden(k4_tarski(E,F),C) ) => D = E ) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & v10_cohsp_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( C = k11_cohsp_1(A,B,D) & ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,B,D,E) = k7_relat_1(C,E) ) ) ) ) ) ) ) )).
fof(l81_fib_num4,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k5_numbers,k3_square_1(5)),k2_xcmplx_0(k4_xcmplx_0(1),k3_square_1(5))) & ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l81_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : k1_finseq_3(k7_finseq_1(A,k1_xboole_0),B) = k7_finseq_1(k1_finseq_3(A,B),k1_finseq_3(k1_xboole_0,B)) ) )).
fof(l81_fomodel0,axiom,( ! [A] : ! [B] : k10_fomodel0(A,B) = k2_xboole_0(k8_funcop_1(k4_ordinal1,k6_subset_1(B,A),k5_numbers),k8_funcop_1(k4_ordinal1,k3_xboole_0(A,B),1)) )).
fof(l81_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(B,D)) => ( v3_fomodel2(C,B,A) => k1_funct_1(k23_fomodel2(B,D,A,E),C) = k1_funct_1(k22_fomodel2(B,A,D),k1_domain_1(k15_fomodel2(B,D),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),E,C)) ) ) ) ) ) ) )).
fof(l81_funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ( k3_relat_1(k6_partfun1(k1_relat_1(A)),A) = A & k3_relat_1(A,k6_partfun1(k1_relat_1(A))) = A ) ) )).
fof(l81_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => r2_tarski(k4_struct_0(A),a_2_2_fvaluat1(A,B)) ) ) ) )).
fof(l81_gaussint,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k6_gaussint),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_gaussint),k4_ordinal1))) & ! [B] : ( ( v1_xcmplx_0(B) & v1_gaussint(B) ) => k1_funct_1(A,B) = k16_gaussint(B) ) ) )).
fof(l81_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ~ ( r1_analmetr(A,B,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ( ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) & ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,G,F) ) ) ) ) ) ) ) ) ) )).
fof(l81_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => k12_glib_001(A,k10_glib_001(A,B,C)) = k7_finseq_1(k12_glib_001(A,B),k9_finseq_1(C)) ) ) ) )).
fof(l81_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => v1_finset_1(k7_graph_5(A)) ) )).
fof(l81_group_9,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( m1_subset_1(E,B) => ( ~ v1_xboole_0(D) => ( r2_tarski(E,k1_group_9(A,B,C,D)) <=> ? [F] : ( m2_finseq_1(F,A) & ? [G] : ( m1_subset_1(G,D) & k1_funct_1(k2_group_9(A,B,C,F),G) = E ) ) ) ) ) ) ) ) )).
fof(l81_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k4_hilbert1(A,k4_hilbert1(B,C)),k4_hilbert1(A,k4_hilbert1(C,B))),k6_hilbert1) ) ) ) )).
fof(l81_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),k4_intpro_1(k4_intpro_1(C,A),B)),k8_intpro_1) ) ) ) )).
fof(l81_jgraph_5,axiom,( k12_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = 1 & k12_euclid(k19_euclid(1,k5_numbers)) = 1 & k12_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(1))) = 1 & k12_euclid(k19_euclid(k5_numbers,1)) = 1 )).
fof(l81_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_xreal_0(D) & v1_lpspace2(D) ) => ( v4_normsp_0(k12_lpspace2(A,B,C,D)) & v3_normsp_0(k12_lpspace2(A,B,C,D)) & v2_normsp_1(k12_lpspace2(A,B,C,D)) & v5_rlvect_1(k12_lpspace2(A,B,C,D)) & v6_rlvect_1(k12_lpspace2(A,B,C,D)) & v7_rlvect_1(k12_lpspace2(A,B,C,D)) & v8_rlvect_1(k12_lpspace2(A,B,C,D)) & v2_rlvect_1(k12_lpspace2(A,B,C,D)) & v3_rlvect_1(k12_lpspace2(A,B,C,D)) & v4_rlvect_1(k12_lpspace2(A,B,C,D)) & v13_algstr_0(k12_lpspace2(A,B,C,D)) ) ) ) ) ) )).
fof(l81_mesfunc5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( v3_mesfunc5(A) & ~ r2_tarski(k8_supinf_2(k15_supinf_2(A)),k1_numbers) & k8_supinf_2(k15_supinf_2(A)) != k1_supinf_1 ) ) )).
fof(l81_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & k3_funct_2(k4_ordinal1,A,D,k5_numbers) = C & ! [E] : ( v7_ordinal1(E) => r2_hidden(k4_tarski(k1_funct_1(D,E),k3_funct_2(k4_ordinal1,A,D,k1_nat_1(E,1))),B) ) ) ) ) ) )).
fof(l81_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & ~ v1_moebius1(A) ) => v17_lattices(k10_moebius2(A)) ) )).
fof(l81_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_normform(A))) => k2_lattices(k11_normform(A),B,k2_lattices(k11_normform(A),C,D)) = k2_lattices(k11_normform(A),k2_lattices(k11_normform(A),B,C),D) ) ) ) )).
fof(l81_o_ring_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l6_algstr_0(C) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ( ( v12_o_ring_1(D,C) & r1_xxreal_0(A,k3_finseq_1(D)) & r1_xxreal_0(B,k3_finseq_1(D)) ) => ( A = k5_numbers | B = k5_numbers | v12_o_ring_1(k8_finseq_1(u1_struct_0(C),D,k12_finseq_1(u1_struct_0(C),k1_algstr_0(C,k7_partfun1(u1_struct_0(C),D,A),k7_partfun1(u1_struct_0(C),D,B)))),C) ) ) ) ) ) ) )).
fof(l81_pepin,axiom,( k11_newton(3,16) = k2_nat_1(6561,6561) )).
fof(l81_prepower,axiom,( ! [A] : ( ( v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( v2_comseq_2(A) & r1_xxreal_0(1,B) ) => v2_comseq_2(k5_prepower(B,A)) ) ) ) )).
fof(l81_quaterni,axiom,( k20_quaterni(k5_numbers,k1_xcmplx_0) = k5_numbers & k20_quaterni(k5_numbers,k10_quaterni) = k5_numbers & k20_quaterni(k5_numbers,k11_quaterni) = k5_numbers )).
fof(l81_sf_mastr,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => k3_sf_mastr(k17_funcop_1(A,B)) = k1_sf_mastr(B) ) ) )).
fof(l81_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) = k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)) & ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) => k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))),A) = k1_funct_1(k1_fdiff_9,A) ) ) )).
fof(l81_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l81_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k22_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l81_srings_2,axiom,( m1_subset_1(k2_tarski(k1_tarski(1),k1_tarski(3)),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k2_tarski(k1_tarski(1),k1_tarski(3)),k2_tarski(1,3)) )).
fof(l82_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) & l1_rlvect_1(A) ) => v6_anproj_2(k5_anproj_1(A)) ) )).
fof(l82_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_clvect_1(C,A) => ( r1_struct_0(C,B) <=> k5_clvect_1(A,B,C) = u1_struct_0(C) ) ) ) ) )).
fof(l82_ec_pf_1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l82_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k3_square_1(5),k3_square_1(5)),k7_xcmplx_0(k6_xcmplx_0(k3_square_1(5),1),k3_square_1(5))) & ~ r1_xxreal_0(k3_square_1(5),k5_numbers) )).
fof(l82_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ! [C] : k1_finseq_3(k7_finseq_1(A,k9_finseq_1(B)),C) = k7_finseq_1(k1_finseq_3(A,C),k1_finseq_3(k9_finseq_1(B),C)) ) )).
fof(l82_finseq_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ( r2_tarski(C,k10_xtuple_0(D)) => ( r1_xxreal_0(k4_finseq_4(D,C),A) | k1_nat_1(A,k4_finseq_4(k2_rfinseq(B,A,D),C)) = k4_finseq_4(D,C) ) ) ) ) ) ) )).
fof(l82_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v4_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) ) => ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(B,C)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) => ( ( k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),G) = k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k15_fomodel2(B,C),k24_fomodel2(B,A)) & v3_fomodel2(E,B,A) ) => ( k17_fomodel2(B,C,F,G,k42_fomodel1(B,k43_fomodel1(B,D),E)) = 1 <=> ? [H] : ( m1_subset_1(H,C) & k1_binop_1(G,k34_fomodel2(B,C,F,D,H),E) = k7_margrel1 ) ) ) ) ) ) ) ) ) ) )).
fof(l82_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(C,B)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(D),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(D,B)) => ( ( k5_relat_1(E,A) = k5_relat_1(F,A) & k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),A) = k2_partfun1(k6_subset_1(u1_struct_0(D),k1_tarski(u3_struct_0(D))),k4_numbers,u1_fomodel1(D),A) ) => r1_relset_1(k35_fomodel1(C),B,k2_partfun1(k35_fomodel1(C),B,k9_fomodel2(C,B,E),k3_finseq_2(A)),k2_partfun1(k35_fomodel1(D),B,k9_fomodel2(D,B,F),k3_finseq_2(A))) ) ) ) ) ) ) )).
fof(l82_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C))) => ~ ( r1_analmetr(A,B,C) & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,H) & D != E & G != H ) ) ) ) ) ) ) ) ) )).
fof(l82_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( r2_tarski(C,k13_glib_001(A,B)) <=> ? [D] : ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,D) = C ) ) ) ) )).
fof(l82_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => v1_finset_1(k6_graph_5(A,B)) ) ) )).
fof(l82_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) => ( ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2,B),A),1) & ~ r1_xxreal_0(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B,B),k3_xcmplx_0(3,B)),1),k2_xcmplx_0(k3_xcmplx_0(2,B),A)) & ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2,B),A),A) ) ) ) ) )).
fof(l82_integra8,axiom,( k9_xtuple_0(k2_fdiff_1(k1_sin_cos6,k2_rcomp_1(k4_xcmplx_0(1),1))) = k2_rcomp_1(k4_xcmplx_0(1),1) )).
fof(l82_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),k4_intpro_1(k4_intpro_1(C,B),A)),k8_intpro_1) ) ) ) )).
fof(l82_jgraph_5,axiom,( r2_tarski(k5_numbers,k1_rcomp_1(k5_numbers,1)) )).
fof(l82_normform,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ! [D] : ( m2_subset_1(D,k5_finsub_1(k7_normform(A)),k8_normform(A)) => k1_binop_1(u1_lattices(k11_normform(A)),B,k1_binop_1(u2_lattices(k11_normform(A)),C,D)) = k1_binop_1(u2_lattices(k11_normform(A)),k1_binop_1(u1_lattices(k11_normform(A)),B,C),k1_binop_1(u1_lattices(k11_normform(A)),B,D)) ) ) ) )).
fof(l82_numpoly1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => m1_subset_1(k7_numpoly1(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(l82_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_o_ring_1(B,A) & v1_o_ring_1(C,A) ) => v3_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l82_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => r1_nat_d(k4_pepin(1),k1_nat_1(k11_newton(3,k1_nat_1(k3_xcmplx_0(4,A),2)),1)) ) )).
fof(l82_sf_mastr,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => k6_sf_mastr(k17_funcop_1(A,B)) = k4_sf_mastr(B) ) ) )).
fof(l82_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) = k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos) & ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)) => k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)),A) = k1_funct_1(k1_fdiff_9,A) ) ) )).
fof(l82_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k20_pscomp_1(k3_topreal1(2,A)),k11_pscomp_1(k3_topreal1(2,A))),k1_rltopsp1(k15_euclid(2),k12_pscomp_1(k3_topreal1(2,A)),k22_pscomp_1(k3_topreal1(2,A)))) = k1_xboole_0 ) )).
fof(l82_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k22_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l82_srings_2,axiom,( m1_subset_1(k2_tarski(k1_tarski(1),k1_tarski(2)),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k2_tarski(k1_tarski(1),k1_tarski(2)),k2_tarski(1,2)) )).
fof(l83_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_power(2,k7_newton(B)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k8_nat_1(k1_numbers,A,B) = k6_series_1(k2_asympt_1,B) ) ) ) )).
fof(l83_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_topmetr)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => r2_tarski(k4_borsuk_1(k5_topmetr,k5_topmetr,A,B),u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr))) ) ) )).
fof(l83_borsuk_7,axiom,( v1_funct_1(k16_sin_cos) & v1_funct_2(k16_sin_cos,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(k16_sin_cos,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) )).
fof(l83_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ~ ( A != B & C != B & ~ ( k3_complex1(k1_complex2(k6_xcmplx_0(A,B),k6_xcmplx_0(C,B))) = k5_numbers <=> ( k4_complex2(A,B,C) = k7_xcmplx_0(k28_sin_cos,2) | k4_complex2(A,B,C) = k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos) ) ) ) ) ) ) )).
fof(l83_fib_num4,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k6_xcmplx_0(k3_square_1(5),1),k3_square_1(5))) )).
fof(l83_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : k1_finseq_3(k7_finseq_1(C,A),D) = k7_finseq_1(k1_finseq_3(C,D),k1_finseq_3(A,D)) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : k1_finseq_3(k7_finseq_1(C,k7_finseq_1(A,k9_finseq_1(B))),D) = k7_finseq_1(k1_finseq_3(C,D),k1_finseq_3(k7_finseq_1(A,k9_finseq_1(B)),D)) ) ) ) )).
fof(l83_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ( k25_fomodel2(A,B,E,k42_fomodel1(A,k43_fomodel1(A,C),D)) = k7_margrel1 <=> ? [F] : ( m1_subset_1(F,B) & k25_fomodel2(A,B,k34_fomodel2(A,B,E,C,F),D) = 1 ) ) ) ) ) ) ) )).
fof(l83_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k48_gfacirc1(A,B,C) != k4_tarski(D,k6_twoscomp) )).
fof(l83_funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) => k8_funct_7(A,k5_numbers) = k6_partfun1(k9_xtuple_0(A)) ) ) )).
fof(l83_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => k8_geomtrap(k7_geomtrap(A,B,C),D,E) = k8_geomtrap(k7_geomtrap(A,B,C),E,D) ) ) ) ) ) )).
fof(l83_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( r2_tarski(C,k14_glib_001(A,B)) <=> ? [D] : ( v1_abian(D) & m1_subset_1(D,k4_ordinal1) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,D) = C ) ) ) ) )).
fof(l83_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => v1_finset_1(k4_graph_5(A,B,C)) ) ) ) )).
fof(l83_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) => ( ~ r1_xxreal_0(k2_xcmplx_0(B,A),1) & r1_xxreal_0(k2_xcmplx_0(B,A),k3_xcmplx_0(2,B)) & ~ r1_xxreal_0(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(B,B),k3_xcmplx_0(3,B)),1),k2_xcmplx_0(B,A)) ) ) ) ) )).
fof(l83_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(A,B),C),k4_intpro_1(A,k4_intpro_1(C,B))),k8_intpro_1) ) ) ) )).
fof(l83_jgraph_5,axiom,( r2_tarski(1,k1_rcomp_1(k5_numbers,1)) )).
fof(l83_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ( v4_lattices(A) <=> v6_lattices(A) ) ) )).
fof(l83_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v2_normsp_1(k20_lpspace1(A,B,C)) & v5_rlvect_1(k20_lpspace1(A,B,C)) & v6_rlvect_1(k20_lpspace1(A,B,C)) & v7_rlvect_1(k20_lpspace1(A,B,C)) & v8_rlvect_1(k20_lpspace1(A,B,C)) & v2_rlvect_1(k20_lpspace1(A,B,C)) & v3_rlvect_1(k20_lpspace1(A,B,C)) & v4_rlvect_1(k20_lpspace1(A,B,C)) & v13_algstr_0(k20_lpspace1(A,B,C)) ) ) ) ) )).
fof(l83_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( m2_finseq_2(D,k4_ordinal1,k4_finseq_2(B,k4_ordinal1)) => ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ! [F] : ( ( v1_matrix_0(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(C))) ) => ~ ( r1_tarski(k2_zfmisc_1(k10_xtuple_0(D),k10_xtuple_0(E)),k2_matrix_0(F)) & ( B = k5_numbers => A = k5_numbers ) & ( A = k5_numbers => B = k5_numbers ) & ! [G] : ( ( v1_finset_1(G) & v1_setfam_1(G) & m1_subset_1(G,k1_zfmisc_1(k4_ordinal1)) ) => ! [H] : ( ( v1_finset_1(H) & v1_setfam_1(H) & m1_subset_1(H,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( G = k10_xtuple_0(D) & H = k10_xtuple_0(E) ) ) ) ) ) ) ) ) ) ) )).
fof(l83_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => k2_lattices(k11_normform(A),B,k1_lattices(k11_normform(A),B,C)) = B ) ) )).
fof(l83_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v12_o_ring_1(B,A) & v12_o_ring_1(C,A) ) => v12_o_ring_1(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),B,C),k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,k7_partfun1(u1_struct_0(A),B,k3_finseq_1(B)),k7_partfun1(u1_struct_0(A),C,k3_finseq_1(C))))),A) ) ) ) ) )).
fof(l83_partfun1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( B = k4_relat_1(A) => v1_partfun1(B,A) ) ) )).
fof(l83_pepin,axiom,( k2_power(2,1) = 2 )).
fof(l83_prepower,axiom,( ! [A] : ( ( v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v5_relat_1(B,k3_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( v2_comseq_2(A) & v2_comseq_2(B) & k1_seq_2(A) = k1_seq_2(B) & r1_xxreal_0(1,C) ) => k1_seq_2(k5_prepower(C,A)) = k1_seq_2(k5_prepower(C,B)) ) ) ) ) )).
fof(l83_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ! [D] : ( m2_finseq_2(D,k2_numbers,k12_seq_4(A)) => ( k13_seq_4(A,C,B) = k13_seq_4(A,D,B) => C = D ) ) ) ) ) )).
fof(l83_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) = k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers) & ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)) => k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)),A) = k1_funct_1(k2_fdiff_9,A) ) ) )).
fof(l83_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k22_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l83_srings_2,axiom,( m1_subset_1(k2_tarski(k1_tarski(2),k1_tarski(4)),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k2_tarski(k1_tarski(2),k1_tarski(4)),k2_tarski(2,4)) )).
fof(l84_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(4,A) => r1_xxreal_0(k2_nat_1(2,A),k3_xcmplx_0(A,k3_power(2,A))) ) ) )).
fof(l84_borsuk_7,axiom,( v1_funct_1(k18_sin_cos) & v1_funct_2(k18_sin_cos,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(k18_sin_cos,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) )).
fof(l84_card_3,axiom,( ! [A] : ( ( v4_funct_1(A) & v2_card_3(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,A) => k9_xtuple_0(B) = k9_card_3(A) ) ) ) )).
fof(l84_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v16_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_exchsort(C) ) => ! [D] : ( m1_subset_1(D,k9_xtuple_0(C)) => ! [E] : ( m1_subset_1(E,k9_xtuple_0(C)) => ( ( r2_tarski(D,E) & A = k7_exchsort(B,C,D,E) ) => ! [F] : ( m1_subset_1(F,k9_xtuple_0(C)) => ! [G] : ( m1_subset_1(G,k9_xtuple_0(C)) => ! [H] : ( m1_subset_1(H,k9_xtuple_0(C)) => ! [I] : ( m1_subset_1(I,k9_xtuple_0(C)) => ( ( r2_tarski(F,H) & r2_tarski(G,I) & k1_binop_1(A,F,H) = k1_binop_1(A,G,I) ) => ( F = G & H = I ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l84_fib_num4,axiom,( ~ r1_xxreal_0(k3_square_1(k1_pepin(3)),k3_square_1(5)) )).
fof(l84_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : k1_finseq_3(k7_finseq_1(B,A),C) = k7_finseq_1(k1_finseq_3(B,C),k1_finseq_3(A,C)) ) ) )).
fof(l84_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(B,D)) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,D),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k5_margrel1))) ) => ( ( k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,D),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),G) = k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)),k15_fomodel2(B,D),k24_fomodel2(B,A)) & v3_fomodel2(E,B,A) ) => ( k19_fomodel2(B,D,G,F,k42_fomodel1(B,k42_fomodel1(B,k43_fomodel1(B,k1_fomodel2(B)),E),C)) = 1 <=> ( k1_binop_1(G,F,E) = k5_numbers & k1_binop_1(G,F,C) = k5_numbers ) ) ) ) ) ) ) ) ) ) )).
fof(l84_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( v15_fomodel1(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ~ ( k5_relat_1(E,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(D),k37_fomodel1(B))) = k5_relat_1(F,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(D),k37_fomodel1(B))) & k2_partfun1(k6_subset_1(u1_struct_0(B),k1_tarski(u3_struct_0(B))),k4_numbers,u1_fomodel1(B),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(D),k37_fomodel1(B))) = k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(D),k37_fomodel1(B))) & k31_fomodel2(B) = k31_fomodel2(C) & ! [G] : ( ( v15_fomodel1(G,C) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => ~ ( G = D & k13_fomodel2(C,A,F,G) = k13_fomodel2(B,A,E,D) ) ) ) ) ) ) ) ) ) )).
fof(l84_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ! [E] : ! [F] : r1_xboole_0(k2_msafree2(k49_gfacirc1(A,B,C)),k3_msafree2(k49_gfacirc1(D,E,F))) ) ) ) )).
fof(l84_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_funct_1(k13_funcop_1(A,B,C)) & v1_funct_2(k13_funcop_1(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & m1_subset_1(k13_funcop_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)))) ) )).
fof(l84_gaussint,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k6_gaussint),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_gaussint),k4_ordinal1))) ) => ( ! [B] : ( ( v1_xcmplx_0(B) & v1_gaussint(B) ) => k1_funct_1(A,B) = k16_gaussint(B) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_gaussint)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_gaussint)) => ~ ( C != k4_struct_0(k6_gaussint) & ! [D] : ( m1_subset_1(D,u1_struct_0(k6_gaussint)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k6_gaussint)) => ~ ( B = k3_rlvect_1(k6_gaussint,k8_group_1(k6_gaussint,D,C),E) & ~ ( E != k4_struct_0(k6_gaussint) & r1_xxreal_0(k3_funct_2(u1_struct_0(k6_gaussint),k4_ordinal1,A,C),k3_funct_2(u1_struct_0(k6_gaussint),k4_ordinal1,A,E)) ) ) ) ) ) ) ) ) ) )).
fof(l84_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => k8_geomtrap(k7_geomtrap(A,B,C),D,D) = D ) ) ) ) )).
fof(l84_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ~ ( r2_tarski(C,k14_glib_001(A,B)) & ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ! [F] : ( ( ~ v1_abian(F) & m1_subset_1(F,k4_ordinal1) ) => ~ ( r1_xxreal_0(k1_nat_1(F,2),k3_finseq_1(B)) & D = k1_funct_1(B,F) & C = k1_funct_1(B,k1_nat_1(F,1)) & E = k1_funct_1(B,k1_nat_1(F,2)) & r1_glib_000(A,D,E,C) ) ) ) ) ) ) ) )).
fof(l84_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v6_graph_1(B) & l1_graph_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => v1_finset_1(k5_graph_5(B,C,D,A)) ) ) ) )).
fof(l84_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,C) & r1_xxreal_0(B,C) ) => ( ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,C),k3_xcmplx_0(C,A)),B),1) & ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,C),k3_xcmplx_0(C,A)),B),A) & ~ r1_xxreal_0(k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(C,C),k3_xcmplx_0(3,C)),1),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,C),k3_xcmplx_0(C,A)),B)) ) ) ) ) ) )).
fof(l84_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A,k4_intpro_1(C,B)),k4_intpro_1(A,k4_intpro_1(B,C))),k8_intpro_1) ) ) ) )).
fof(l84_lpspace2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_ordinal1) & v5_valued_0(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( v1_rsspace3(B,A) & ! [F] : ( v7_ordinal1(F) => k8_nat_1(k1_numbers,D,F) = k2_normsp_0(A,k5_algstr_0(A,C,k1_normsp_0(A,B,k1_recdef_1(E,F)))) ) & v2_comseq_2(D) & k1_seq_2(D) = k5_numbers ) => ( v3_normsp_1(B,A) & k5_normsp_1(A,B) = C & v2_comseq_2(k5_normsp_0(A,k3_normsp_1(A,B,C))) & k1_seq_2(k5_normsp_0(A,k3_normsp_1(A,B,C))) = k5_numbers ) ) ) ) ) ) ) )).
fof(l84_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v13_o_ring_1(B,A) & v13_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l84_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_oppcat_1(B))) => k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),k4_cat_1(k2_oppcat_1(B),D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,k10_oppcat_1(B,A,C)),D)) ) ) ) ) )).
fof(l84_partfun1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( B = k4_relat_1(A) => ( v1_relat_2(B) & v3_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) ) ) ) )).
fof(l84_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(B)) & r1_tarski(k1_rvsum_1(B),C) ) => r2_tarski(k7_partfun1(k4_ordinal1,B,A),C) ) ) ) )).
fof(l84_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( A = 1 => r2_int_1(k11_newton(3,k3_nat_d(k7_nat_d(k4_pepin(A),1),2)),k4_xcmplx_0(1),k4_pepin(A)) ) ) )).
fof(l84_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_lattices(A,B,C) <=> ( k3_lattices(A,B,C) = k6_lattices(A) & k4_lattices(A,B,C) = k5_lattices(A) ) ) ) ) ) )).
fof(l84_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( v9_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( v1_xreal_0(C) => v9_rltopsp1(k1_convex1(A,B,C),A) ) ) ) )).
fof(l84_sincos10,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) = k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)) & ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) => k1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))),A) = k1_funct_1(k2_fdiff_9,A) ) ) )).
fof(l84_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k22_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l84_srings_2,axiom,( m1_subset_1(k2_tarski(k1_tarski(3),k1_tarski(4)),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k2_tarski(k1_tarski(3),k1_tarski(4)),k2_tarski(3,4)) )).
fof(l84_toprealb,axiom,( ~ v1_xboole_0(k3_rcomp_1(k4_xcmplx_0(1),1)) & m1_subset_1(k3_rcomp_1(k4_xcmplx_0(1),1),k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(k4_rcomp_1(k5_numbers,k28_sin_cos)) & m1_subset_1(k4_rcomp_1(k5_numbers,k28_sin_cos),k1_zfmisc_1(k1_numbers)) )).
fof(l85_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k11_borsuk_7,A) = k4_euclid_5(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k3_xcmplx_0(2,k28_sin_cos),c1__borsuk_7),k18_sin_cos),A),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k3_xcmplx_0(2,k28_sin_cos),k5_numbers),k16_sin_cos),A),k5_numbers) ) )).
fof(l85_card_2,axiom,( v4_ordinal1(k4_ordinal1) )).
fof(l85_fib_num4,axiom,( ~ r1_xxreal_0(3,k3_square_1(5)) )).
fof(l85_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_partfun1(B,A) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k10_xtuple_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k10_xtuple_0(B)))) & r1_relset_1(A,k10_xtuple_0(B),C,B) & k1_relset_1(A,C) = A ) ) )).
fof(l85_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v4_fomodel2(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ( k25_fomodel2(A,B,E,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D)) = k7_margrel1 <=> ( k25_fomodel2(A,B,E,C) = k6_margrel1 & k25_fomodel2(A,B,E,D) = k6_margrel1 ) ) ) ) ) ) ) )).
fof(l85_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => k8_geomtrap(k7_geomtrap(A,B,C),k8_geomtrap(k7_geomtrap(A,B,C),D,E),k8_geomtrap(k7_geomtrap(A,B,C),F,G)) = k8_geomtrap(k7_geomtrap(A,B,C),k8_geomtrap(k7_geomtrap(A,B,C),D,F),k8_geomtrap(k7_geomtrap(A,B,C),E,G)) ) ) ) ) ) ) ) )).
fof(l85_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ! [E] : ( ( r2_hidden(C,k14_glib_001(A,B)) & r1_glib_000(A,D,E,C) ) => ( r2_hidden(D,k13_glib_001(A,B)) & r2_hidden(E,k13_glib_001(A,B)) ) ) ) ) )).
fof(l85_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,C) & r1_xxreal_0(1,B) & r1_xxreal_0(B,C) ) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(3,C),1),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,C),k3_xcmplx_0(C,A)),B)) & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,C),k3_xcmplx_0(C,A)),B),k2_xcmplx_0(k3_xcmplx_0(C,C),k3_xcmplx_0(3,C))) ) ) ) ) ) )).
fof(l85_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ~ v2_struct_0(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & v10_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & l3_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & ~ v2_struct_0(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & v10_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & v13_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & l3_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & ~ v2_struct_0(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & v10_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & v14_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) & l3_lattices(g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A))) ) ) )).
fof(l85_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( D = u1_struct_0(k5_group_4(B,C)) => k18_group_9(A,B,C) = k18_group_9(A,B,D) ) ) ) ) )).
fof(l85_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( k3_funct_2(A,k5_margrel1,k31_modelc_1(A,C),B) != k7_margrel1 => k3_funct_2(A,k5_margrel1,k31_modelc_1(A,C),B) = k6_margrel1 ) ) ) )).
fof(l85_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(k2_oppcat_1(B))) => ( k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,k10_oppcat_1(B,A,C)),k3_graph_1(k2_oppcat_1(B),D)) = k3_graph_1(A,k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),D)) & k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,k10_oppcat_1(B,A,C)),k4_graph_1(k2_oppcat_1(B),D)) = k4_graph_1(A,k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),D)) ) ) ) ) ) )).
fof(l85_partfun1,axiom,( ! [A] : m1_subset_1(k4_relat_1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) )).
fof(l85_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => r1_nat_d(k4_pepin(2),k1_nat_1(k11_newton(3,k1_nat_1(k3_xcmplx_0(16,A),8)),1)) ) )).
fof(l85_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k23_quaterni(A) = k21_quaterni(k21_quaterni(k18_quaterni(k4_xcmplx_0(k12_quaterni(A)),k20_quaterni(k4_xcmplx_0(k13_quaterni(A)),k1_xcmplx_0)),k20_quaterni(k4_xcmplx_0(k14_quaterni(A)),k10_quaterni)),k20_quaterni(k4_xcmplx_0(k15_quaterni(A)),k11_quaterni)) ) )).
fof(l85_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_lattices(A,C,B) = B ) => B = k5_lattices(A) ) ) ) )).
fof(l85_srings_2,axiom,( m1_subset_1(k1_enumset1(k1_tarski(1),k1_tarski(3),k1_tarski(4)),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k1_enumset1(k1_tarski(1),k1_tarski(3),k1_tarski(4)),k1_enumset1(1,3,4)) )).
fof(l85_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c25__toprealb))) = k5_toprealb(c25__toprealb) )).
fof(l85_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( v2_waybel_8(A) => ( v6_waybel23(u1_struct_0(k1_waybel_8(A)),A) & m1_waybel23(u1_struct_0(k1_waybel_8(A)),A) & ! [B] : ( ( v6_waybel23(B,A) & m1_waybel23(B,A) ) => r1_tarski(u1_struct_0(k1_waybel_8(A)),B) ) ) ) ) )).
fof(l86_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)),k1_rlvect_1(A,D,H)),k1_rlvect_1(A,E,I)) = k4_struct_0(A) => ( F = k5_numbers & G = k5_numbers & H = k5_numbers & I = k5_numbers ) ) ) ) ) ) ) ) ) ) => v1_anproj_2(A) ) ) )).
fof(l86_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_enumset1(A,B,C,D) = k2_enumset1(C,B,A,D) )).
fof(l86_euclid,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l86_fib_num4,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(k3_square_1(5)),k4_xcmplx_0(3)) )).
fof(l86_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ~ ( r2_hidden(B,k2_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,A) & B = C ) ) ) ) )).
fof(l86_fomodel0,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( r1_tarski(k9_xtuple_0(B),k9_xtuple_0(A)) & r1_tarski(A,B) ) => A = B ) ) ) )).
fof(l86_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(C,B)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(D),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(D,B)) => ( ( v16_fomodel1(D,C) & r1_tarski(A,k30_fomodel2(C)) & k5_relat_1(E,k37_fomodel1(C)) = k5_relat_1(F,k37_fomodel1(C)) ) => ( v10_fomodel2(A,B,C,E) <=> v10_fomodel2(A,B,D,F) ) ) ) ) ) ) ) )).
fof(l86_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ? [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) & k8_geomtrap(k7_geomtrap(A,B,C),F,D) = E ) ) ) ) ) ) )).
fof(l86_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => r1_xxreal_0(k17_glib_001(A,B,C),C) ) ) ) ) )).
fof(l86_ideal_1,axiom,( ! [A] : ! [B] : r1_tarski(k1_tarski(A),k2_tarski(A,B)) )).
fof(l86_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A,k4_intpro_1(B,C)),k4_intpro_1(k4_intpro_1(C,B),A)),k8_intpro_1) ) ) ) )).
fof(l86_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k9_newton(A) = a_1_1_newton(A) ) )).
fof(l86_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => v3_xxreal_2(k15_normsp_3(A,B,C)) ) ) ) )).
fof(l86_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v7_o_ring_1(B,A) & v1_o_ring_1(C,A) ) => v7_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l86_pepin,axiom,( k4_nat_d(k11_newton(3,1),k4_pepin(3)) = 3 )).
fof(l86_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ! [D] : ! [E] : ( v1_finset_1(E) => ( ( E = k1_relset_1(A,k2_partfun1(A,k1_numbers,B,D)) & v1_finset_1(k1_relset_1(A,k2_partfun1(A,k1_numbers,B,C))) & r1_tarski(D,C) & k5_numbers = k4_card_1(E) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(F,k1_relset_1(A,k2_partfun1(A,k1_numbers,B,D))) & r2_tarski(G,k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k6_subset_1(C,D)))) ) => r1_xxreal_0(k1_funct_1(B,G),k1_funct_1(B,F)) ) ) ) ) => k20_rfunct_3(A,B,C) = k8_finseq_1(k1_numbers,k20_rfunct_3(A,B,D),k20_rfunct_3(A,B,k6_subset_1(C,D))) ) ) ) ) )).
fof(l86_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_lattices(A,C,B) = B ) => B = k6_lattices(A) ) ) ) )).
fof(l86_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l86_srings_2,axiom,( m1_subset_1(k1_enumset1(k1_tarski(1),k1_tarski(2),k1_tarski(4)),k1_zfmisc_1(k1_srings_2)) & m1_eqrel_1(k1_enumset1(k1_tarski(1),k1_tarski(2),k1_tarski(4)),k1_enumset1(1,2,4)) )).
fof(l86_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb))) = k5_toprealb(c26__toprealb) )).
fof(l87_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)),k1_rlvect_1(A,D,H)),k1_rlvect_1(A,E,I)) = k4_struct_0(A) => ( F = k5_numbers & G = k5_numbers & H = k5_numbers & I = k5_numbers ) ) ) ) ) ) ) ) ) ) => ( v4_collsp(k5_anproj_1(A)) & v3_anproj_2(k5_anproj_1(A)) ) ) ) )).
fof(l87_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(2,A) & r1_xxreal_0(A,k2_int_1(k7_xcmplx_0(A,2))) ) ) )).
fof(l87_classes1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ~ r2_hidden(B,k10_xtuple_0(A)) => k10_relat_1(A,B) = k1_xboole_0 ) ) )).
fof(l87_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( k4_complex2(A,B,C) != k5_numbers => k4_complex2(C,B,A) = k6_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k4_complex2(A,B,C)) ) ) ) ) )).
fof(l87_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m2_finseq_2(E,A,k4_finseq_2(B,A)) => r2_tarski(k1_midsp_3(A,B,E,C,D),k4_finseq_2(B,A)) ) ) ) ) ) ) )).
fof(l87_fib_num4,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k3_square_1(5)),3),k2_xcmplx_0(k4_xcmplx_0(3),3)) )).
fof(l87_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) ) => ( ( v1_partfun1(D,A) & v4_relat_1(C,A) & v1_funct_1(k3_relat_1(k3_relat_1(k3_relat_1(B,D),k2_relat_1(D)),C)) & r1_tarski(k10_xtuple_0(B),k9_xtuple_0(C)) ) => k3_relat_1(k3_relat_1(k3_relat_1(B,D),k2_relat_1(D)),C) = k3_relat_1(B,C) ) ) ) ) )).
fof(l87_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ( k8_geomtrap(k7_geomtrap(A,B,C),D,E) = k8_geomtrap(k7_geomtrap(A,B,C),D,F) => E = F ) ) ) ) ) ) ) )).
fof(l87_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => r1_xxreal_0(C,k19_glib_001(A,B,C)) ) ) ) ) )).
fof(l87_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(k4_intpro_1(C,B),A),k4_intpro_1(k4_intpro_1(B,C),A)),k8_intpro_1) ) ) ) )).
fof(l87_measure6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_measure6(B,A) => v6_measure6(k32_valued_1(A,k1_numbers,B),A) ) ) ) )).
fof(l87_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( ( ! [D] : ( r2_hidden(D,k30_modelc_1(A)) => k1_funct_1(B,D) = k32_modelc_1(A,D) ) & ! [D] : ( r2_hidden(D,k30_modelc_1(A)) => k1_funct_1(C,D) = k32_modelc_1(A,D) ) ) => r2_funct_2(k30_modelc_1(A),k30_modelc_1(A),B,C) ) ) ) ) )).
fof(l87_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(k2_oppcat_1(A),k3_funct_2(u1_struct_0(B),u1_struct_0(k2_oppcat_1(A)),k7_cat_1(B,k2_oppcat_1(A),k11_oppcat_1(B,A,C)),D)) ) ) ) ) )).
fof(l87_pepin,axiom,( k4_nat_d(k11_newton(3,2),k4_pepin(3)) = 9 )).
fof(l87_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k24_quaterni(A,B) = k21_quaterni(k21_quaterni(k18_quaterni(k6_xcmplx_0(k12_quaterni(A),k12_quaterni(B)),k20_quaterni(k6_xcmplx_0(k13_quaterni(A),k13_quaterni(B)),k1_xcmplx_0)),k20_quaterni(k6_xcmplx_0(k14_quaterni(A),k14_quaterni(B)),k10_quaterni)),k20_quaterni(k6_xcmplx_0(k15_quaterni(A),k15_quaterni(B)),k11_quaterni)) ) ) )).
fof(l87_rfunct_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ! [E] : ! [F] : ( v1_finset_1(F) => ( ( F = k1_relset_1(B,k2_partfun1(B,k1_numbers,C,E)) & v1_finset_1(k1_relset_1(B,k2_partfun1(B,k1_numbers,C,D))) & r1_tarski(E,D) & A = k4_card_1(F) & ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,B) => ( ( r2_tarski(G,k1_relset_1(B,k2_partfun1(B,k1_numbers,C,E))) & r2_tarski(H,k1_relset_1(B,k2_partfun1(B,k1_numbers,C,k6_subset_1(D,E)))) ) => r1_xxreal_0(k1_funct_1(C,H),k1_funct_1(C,G)) ) ) ) ) => k20_rfunct_3(B,C,D) = k8_finseq_1(k1_numbers,k20_rfunct_3(B,C,E),k20_rfunct_3(B,C,k6_subset_1(D,E))) ) ) ) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ! [E] : ! [F] : ( v1_finset_1(F) => ( ( F = k1_relset_1(B,k2_partfun1(B,k1_numbers,C,E)) & v1_finset_1(k1_relset_1(B,k2_partfun1(B,k1_numbers,C,D))) & r1_tarski(E,D) & k1_nat_1(A,1) = k4_card_1(F) & ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,B) => ( ( r2_tarski(G,k1_relset_1(B,k2_partfun1(B,k1_numbers,C,E))) & r2_tarski(H,k1_relset_1(B,k2_partfun1(B,k1_numbers,C,k6_subset_1(D,E)))) ) => r1_xxreal_0(k1_funct_1(C,H),k1_funct_1(C,G)) ) ) ) ) => k20_rfunct_3(B,C,D) = k8_finseq_1(k1_numbers,k20_rfunct_3(B,C,E),k20_rfunct_3(B,C,k6_subset_1(D,E))) ) ) ) ) ) ) )).
fof(l87_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k22_sin_cos,k2_xcmplx_0(A,B)) = k3_xcmplx_0(k1_funct_1(k22_sin_cos,A),k1_funct_1(k22_sin_cos,B)) ) ) )).
fof(l87_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & k20_pscomp_1(k3_topreal1(2,A)) != k19_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l87_srings_2,axiom,( ! [A] : ~ ( r2_tarski(A,k4_setfam_1(k1_srings_2,k1_srings_2)) & ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_srings_2)) ) => ~ m1_eqrel_1(B,A) ) ) )).
fof(l87_toprealb,axiom,( u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))) = k5_toprealb(k2_rcomp_1(k5_numbers,1)) )).
fof(l87_valued_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( r1_tarski(C,B) => r1_tarski(k1_relset_1(k4_ordinal1,k61_valued_1(C,A)),k1_relset_1(k4_ordinal1,k61_valued_1(B,A))) ) ) ) ) )).
fof(l87_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( ? [B] : ( v6_waybel23(B,A) & m1_waybel23(B,A) & ! [C] : ( ( v6_waybel23(C,A) & m1_waybel23(C,A) ) => r1_tarski(B,C) ) ) => v2_waybel_8(A) ) ) )).
fof(l87_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => k20_zmodul02(A,k8_finseq_1(u1_struct_0(A),B,C),D) = k8_finseq_1(u1_struct_0(A),k20_zmodul02(A,B,D),k20_zmodul02(A,C,D)) ) ) ) ) )).
fof(l88_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)) = B ) ) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,D,C),k1_bcialg_1(A,D,B)) = k1_bcialg_1(A,B,C) ) ) ) ) ) )).
fof(l88_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k9_complex1(k4_xcmplx_0(A)) = k9_complex1(A) ) )).
fof(l88_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( v2_convex4(B,A) => ( ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( C = E & D = F & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(k5_numbers,F) ) ) ) | r1_tarski(k7_rusub_4(A,k19_convex4(A,B,C),k19_convex4(A,B,D)),k19_convex4(A,B,k2_xcmplx_0(C,D))) ) ) ) ) ) ) )).
fof(l88_fib_num4,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(1),k4_xcmplx_0(k3_square_1(5))) )).
fof(l88_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ( ( r1_analmetr(A,B,C) & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) ) => r2_analoaf(k7_geomtrap(A,B,C),D,E,k8_geomtrap(k7_geomtrap(A,B,C),D,F),k8_geomtrap(k7_geomtrap(A,B,C),E,G)) ) ) ) ) ) ) ) ) )).
fof(l88_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v2_glib_001(B,A) <=> ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => r2_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,2)),k1_funct_1(B,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(l88_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ! [D] : ( ( ~ v2_struct_0(D) & v2_graph_1(D) & v6_graph_1(D) & l1_graph_1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u4_struct_0(D),k8_graph_5) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(D),k8_graph_5))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( ( r6_graphsp(B,D,A,E) & F = 1 & r1_xxreal_0(1,A) & C = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),1),B) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( v7_ordinal1(H) => ~ ( G != F & G = H & k1_funct_1(C,k2_xcmplx_0(A,H)) != k4_xcmplx_0(1) & ! [I] : ( m2_finseq_1(I,k4_ordinal1) => ! [J] : ( ( v7_graph_1(J,D) & m2_graph_1(J,D) ) => ~ ( r4_graphsp(I,C,H,A) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(1,K) => ( r1_xxreal_0(k3_finseq_1(I),K) | r2_tarski(k1_funct_1(I,K),k13_graphsp(C,A)) ) ) ) & r5_graphsp(D,J,I) & r8_graph_5(D,F,G,J,k13_graphsp(C,A),E) & k10_graph_5(D,J,E) = k1_funct_1(C,k2_xcmplx_0(k3_xcmplx_0(2,A),H)) & ( ~ r2_tarski(G,k13_graphsp(C,A)) => r9_graph_5(D,J,k13_graphsp(C,A),F,E) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( k1_funct_1(C,k2_xcmplx_0(A,H)) = k4_xcmplx_0(1) & r1_xxreal_0(1,H) & r1_xxreal_0(H,A) & r2_tarski(G,k13_graphsp(C,A)) ) => k1_funct_1(B,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,A),k3_xcmplx_0(A,G)),H)) = k4_xcmplx_0(1) ) ) ) & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k13_graphsp(C,A)) & k1_funct_1(C,k2_xcmplx_0(A,G)) = k4_xcmplx_0(1) ) ) ) ) ) ) ) ) ) ) )).
fof(l88_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A,k4_intpro_1(B,C)),k4_intpro_1(k4_intpro_1(B,C),A)),k8_intpro_1) ) ) ) )).
fof(l88_matrixj1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( k1_matrix_0(C) = k1_matrix_0(D) & r2_tarski(A,k4_finseq_1(C)) ) => k7_matrix_0(u1_struct_0(B),k3_matrix_3(B,C,D),A) = k3_fvsum_1(B,k7_matrix_0(u1_struct_0(B),C,A),k7_matrix_0(u1_struct_0(B),D,A)) ) ) ) ) ) )).
fof(l88_measure6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v6_measure6(B,A) => v5_measure6(k32_valued_1(A,k1_numbers,B),A) ) ) ) )).
fof(l88_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v9_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v11_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l88_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_oppcat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ( k3_funct_2(u1_struct_0(B),u1_struct_0(k2_oppcat_1(A)),k7_cat_1(B,k2_oppcat_1(A),k11_oppcat_1(B,A,C)),k3_graph_1(B,D)) = k3_graph_1(k2_oppcat_1(A),k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),D)) & k3_funct_2(u1_struct_0(B),u1_struct_0(k2_oppcat_1(A)),k7_cat_1(B,k2_oppcat_1(A),k11_oppcat_1(B,A,C)),k4_graph_1(B,D)) = k4_graph_1(k2_oppcat_1(A),k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),D)) ) ) ) ) ) )).
fof(l88_pepin,axiom,( k4_nat_d(k11_newton(3,4),k4_pepin(3)) = 81 )).
fof(l88_sprect_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(l88_toprealb,axiom,( k1_relset_1(k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers)) = u1_struct_0(k2_topalg_2) )).
fof(l88_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v2_finseq_1(D) ) => ( ( r1_tarski(C,A) & r1_tarski(D,B) ) => k14_finseq_1(k4_subset_1(k4_ordinal1,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,k61_valued_1(D,k3_finseq_1(A))))) = k8_finseq_1(k4_ordinal1,k14_finseq_1(k1_relset_1(k4_ordinal1,C)),k14_finseq_1(k1_relset_1(k4_ordinal1,k61_valued_1(D,k3_finseq_1(A))))) ) ) ) ) ) )).
fof(l89_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_anproj_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_anproj_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_anproj_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_anproj_1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_anproj_1(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_anproj_1(A))) => ~ ( ~ r1_collsp(k5_anproj_1(A),G,D,C) & r1_collsp(k5_anproj_1(A),D,C,B) & r1_collsp(k5_anproj_1(A),G,E,D) & r1_collsp(k5_anproj_1(A),G,F,C) & ! [H] : ( m1_subset_1(H,u1_struct_0(k5_anproj_1(A))) => ~ ( r1_collsp(k5_anproj_1(A),E,F,H) & r1_collsp(k5_anproj_1(A),G,B,H) ) ) ) ) ) ) ) ) ) ) )).
fof(l89_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(2,A) & r1_xxreal_0(k1_square_1(A),k1_nat_1(A,1)) ) ) )).
fof(l89_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,k5_numbers) => k9_complex1(A) = k4_xcmplx_0(A) ) ) )).
fof(l89_fib_num4,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(1),3),k2_xcmplx_0(k4_xcmplx_0(k3_square_1(5)),3)) )).
fof(l89_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ~ ( r1_analmetr(A,B,C) & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) & ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,k8_geomtrap(k7_geomtrap(A,B,C),D,G),k8_geomtrap(k7_geomtrap(A,B,C),E,F)) & ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,k8_geomtrap(k7_geomtrap(A,B,C),E,F),k8_geomtrap(k7_geomtrap(A,B,C),D,G)) ) ) ) ) ) ) ) ) )).
fof(l89_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_glib_001(B,A) & r1_glib_001(A,C,E,B) & r2_glib_000(A,E,F,D) ) => ( v2_glib_001(k10_glib_001(A,B,D),A) & r1_glib_001(A,C,F,k10_glib_001(A,B,D)) ) ) ) ) )).
fof(l89_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k3_finseq_2(k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k3_finseq_2(k1_numbers)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k3_finseq_2(k1_numbers)) => ( ( E = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(C),k18_graphsp(C))),B),D) & F = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(C),k18_graphsp(C))),k1_nat_1(B,1)),D) & r2_tarski(A,k13_graphsp(E,C)) & k3_finseq_1(D) = k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(C,C),k3_xcmplx_0(3,C)),1) ) => ( k7_graphsp(E,C) = k1_xboole_0 | k1_funct_1(F,k2_xcmplx_0(C,A)) = k1_funct_1(E,k2_xcmplx_0(C,A)) ) ) ) ) ) ) ) ) )).
fof(l89_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A,k4_intpro_1(B,C)),k4_intpro_1(k4_intpro_1(A,C),B)),k8_intpro_1) ) ) ) )).
fof(l89_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( ( v1_xreal_0(E) & ~ v3_xxreal_0(E) ) => ~ ( r1_topreal1(k15_euclid(2),B,C,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_brouwer(2,A,E)))) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_brouwer(2,A,E)),u1_struct_0(k1_pre_topc(k15_euclid(2),D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,A,E)),u1_struct_0(k1_pre_topc(k15_euclid(2),D))))) ) => ~ ( v5_pre_topc(F,k2_brouwer(2,A,E),k1_pre_topc(k15_euclid(2),D)) & k2_partfun1(u1_struct_0(k2_brouwer(2,A,E)),u1_struct_0(k1_pre_topc(k15_euclid(2),D)),F,D) = k6_partfun1(D) ) ) ) ) ) ) ) ) )).
fof(l89_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v9_o_ring_1(B,A) & v9_o_ring_1(C,A) ) => v11_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l89_pepin,axiom,( k4_nat_d(k11_newton(3,8),k4_pepin(3)) = 136 )).
fof(l89_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k12_polynom1(A,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k12_polynom1(A,C))) => ( ( E = G & F = H & r5_polyred(A,B,C,E,F,D) ) => r11_polyred(k12_polynom1(A,C),k7_ideal_1(k12_polynom1(A,C),D),G,H) ) ) ) ) ) ) ) ) ) )).
fof(l89_sin_cos,axiom,( k1_funct_1(k22_sin_cos,k5_numbers) = 1 )).
fof(l89_toprealb,axiom,( k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers),k5_toprealb(c26__toprealb))) = k5_toprealb(c26__toprealb) )).
fof(l89_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => k4_xxreal_3(A,k5_numbers) = k5_numbers ) )).
fof(l8_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_diraf(A,F,B,F,C) & r2_diraf(A,F,D,F,E) ) => ( B = C | D = E | r2_diraf(A,B,D,C,E) ) ) ) ) ) ) ) ) )).
fof(l8_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_0)) => ? [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_0)) & k1_algstr_0(k3_algstr_0,A,C) = B ) ) ) )).
fof(l8_altcat_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => A = B ) ) )).
fof(l8_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ( B != k4_struct_0(A) & C != k4_struct_0(A) ) ) ) ) ) )).
fof(l8_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => k1_rlvect_1(A,B,D) = k1_rlvect_1(A,C,k4_xcmplx_0(E)) ) ) ) ) ) ) )).
fof(l8_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,C),D),E),k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,G,H),I),F)) = k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,B,G),k3_rlvect_1(A,C,H)),k3_rlvect_1(A,D,I)),k3_rlvect_1(A,E,F)) ) ) ) ) ) ) ) ) ) )).
fof(l8_arytm_0,axiom,( ! [A] : ! [B] : 1 != k4_tarski(A,B) )).
fof(l8_arytm_2,axiom,( k2_arytm_2 = k2_xboole_0(k5_arytm_3,k7_subset_1(a_0_0_arytm_2,k6_subset_1(a_0_0_arytm_2,k1_tarski(k5_arytm_3)),a_0_1_arytm_2)) )).
fof(l8_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) => ( k1_relset_1(u1_struct_0(A),B) = k2_relset_1(u1_struct_0(A),B) & k1_relset_1(u1_struct_0(A),B) = u1_struct_0(A) ) ) ) )).
fof(l8_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_4(A,B,C),B),C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_bcialg_1(A,k1_bcialg_1(A,D,B),C) => r1_bcialg_1(A,D,k1_bcialg_4(A,B,C)) ) ) ) ) ) ) )).
fof(l8_bhsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))) => ! [C] : ( v1_xreal_0(C) => k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1),A,C),B)) = k3_xcmplx_0(C,k3_funct_2(k2_zfmisc_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1))),k1_numbers,c2__bhsp_1,k1_domain_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),A,B))) ) ) ) )).
fof(l8_brouwer2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( ( v1_convex1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ~ ( v2_compts_1(B,k15_euclid(A)) & r2_tarski(k5_euclid(A),k1_tops_1(k15_euclid(A),B)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))))) ) => ~ ( v3_tops_2(C,k1_pre_topc(k15_euclid(A),B),k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)) & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)),C,k2_tops_1(k15_euclid(A),B)) = k3_topreal9(A,k4_struct_0(k15_euclid(A)),1) ) ) ) ) ) ) )).
fof(l8_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) => ( ( C = k9_finseq_1(A) & D = k9_finseq_1(B) ) => ( k3_rlvect_1(k4_real_ns1(1),C,D) = k9_finseq_1(k2_xcmplx_0(A,B)) & k5_algstr_0(k4_real_ns1(1),C,D) = k9_finseq_1(k6_xcmplx_0(A,B)) ) ) ) ) ) ) )).
fof(l8_cfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k2_numbers))) ) => ( r2_tarski(A,k8_relset_1(C,k2_numbers,D,B)) <=> ( r2_tarski(A,k1_relset_1(C,D)) & r2_tarski(k7_partfun1(k2_numbers,D,A),B) ) ) ) ) )).
fof(l8_collsp,axiom,( ~ v2_struct_0(g1_collsp(c2__collsp,c3__collsp)) & l1_collsp(g1_collsp(c2__collsp,c3__collsp)) )).
fof(l8_complsp2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => m2_finseq_1(A,k2_numbers) ) )).
fof(l8_compos_0,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)))) => k6_compos_0(k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0)),A) = k6_domain_1(k4_ordinal1,k5_numbers) ) )).
fof(l8_comptrig,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k28_sin_cos,k28_sin_cos),k2_xcmplx_0(k5_numbers,k28_sin_cos)) )).
fof(l8_convex2,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l8_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(a_2_0_convex3(A,B),B) => v1_convex1(B,A) ) ) ) )).
fof(l8_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_convfun1(A,k4_convfun1))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( C = k4_tarski(B,E) => k1_rlvect_1(k3_convfun1(A,k4_convfun1),C,D) = k4_tarski(k1_rlvect_1(A,B,D),k3_xcmplx_0(D,E)) ) ) ) ) ) ) )).
fof(l8_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) & v2_cqc_the1(k8_cqc_lang(A,D,E),A) ) => v2_cqc_the1(k8_cqc_lang(A,k9_cqc_lang(A,B,D),k9_cqc_lang(A,C,E)),A) ) ) ) ) ) ) )).
fof(l8_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k1_funct_1(k7_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k2_comseq_2(k4_ordinal1,A))),B)) & k1_funct_1(k8_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k2_comseq_2(k4_ordinal1,A))),B) = k5_numbers ) ) ) )).
fof(l8_csspace4,axiom,( v2_rlvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v3_rlvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v4_rlvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v13_algstr_0(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v2_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v3_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v4_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) & v5_clvect_1(g1_clvect_1(k1_csspace4,k8_csspace(k5_csspace,k1_csspace4),k6_csspace(k5_csspace,k1_csspace4),k7_csspace(k5_csspace,k1_csspace4))) )).
fof(l8_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => k4_euclid_3(A,B,C) != k6_xcmplx_0(k3_xcmplx_0(2,k4_euclid_3(D,E,F)),k3_xcmplx_0(4,k28_sin_cos)) ) ) ) ) ) ) )).
fof(l8_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k9_euclid(3,k1_euclid_8(B,C,D),A) = k1_euclid_8(k3_xcmplx_0(A,B),k3_xcmplx_0(A,C),k3_xcmplx_0(A,D)) ) ) ) ) )).
fof(l8_fdiff_5,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ~ r2_tarski(k5_numbers,A) => k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k16_sin_cos)) = A ) ) )).
fof(l8_fib_fusc,axiom,( k10_ami_3(k5_numbers) != k10_ami_3(2) )).
fof(l8_fib_num,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(l8_fib_num4,axiom,( k7_xcmplx_0(k2_fib_num,k1_fib_num) = k7_xcmplx_0(k6_xcmplx_0(k3_square_1(5),3),2) )).
fof(l8_finance1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ~ v1_xboole_0(D) => a_4_3_finance1(A,B,C,D) = k8_relset_1(A,B,C,D) ) ) ) ) )).
fof(l8_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => k1_finsop_1(A,k12_finseq_1(A,B),C) = B ) ) ) )).
fof(l8_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v1_fomodel0(B,A) <=> ! [C] : ! [D] : ( ( r2_tarski(C,k3_xboole_0(k9_xtuple_0(B),A)) & r2_tarski(D,k3_xboole_0(k9_xtuple_0(B),A)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => C = D ) ) ) )).
fof(l8_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => r3_xboole_0(k2_fsm_1(A,B,D,k6_finseq_1(A)),k2_fsm_1(A,B,D,C)) ) ) ) ) )).
fof(l8_fuzzy_1,axiom,( m1_subset_1(1,k1_numbers) )).
fof(l8_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ! [D] : ! [E] : ( ( r2_hidden(D,k1_glib_002(A,B)) & r1_glib_000(A,D,E,C) ) => r2_hidden(E,k1_glib_002(A,B)) ) ) ) )).
fof(l8_gobrd11,axiom,( u1_struct_0(k15_euclid(2)) = k1_euclid(2) )).
fof(l8_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => ( k3_group_4(A,k4_group_4(A,C,k5_finseq_2(u1_struct_0(A),k3_finseq_1(C),B))) = k5_group_1(A,B,k1_gr_cy_1(C)) => k3_group_4(A,k4_group_4(A,k8_finseq_1(k4_numbers,C,k12_finseq_1(k4_numbers,D)),k5_finseq_2(u1_struct_0(A),k3_finseq_1(k8_finseq_1(k4_numbers,C,k12_finseq_1(k4_numbers,D))),B))) = k5_group_1(A,B,k1_gr_cy_1(k8_finseq_1(k4_numbers,C,k12_finseq_1(k4_numbers,D)))) ) ) ) ) ) )).
fof(l8_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_nat_1(C,1)) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ( k2_xcmplx_0(k3_finseq_1(k1_graph_2(A,B,C)),B) = k1_nat_1(C,1) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(k1_graph_2(A,B,C)),D) => k1_funct_1(k1_graph_2(A,B,C),k1_nat_1(D,1)) = k1_funct_1(A,k2_xcmplx_0(B,D)) ) ) ) ) ) ) ) )).
fof(l8_holder_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) => ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k5_numbers => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => k8_nat_1(k1_numbers,A,C) = k5_numbers ) ) ) ) ) ) )).
fof(l8_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_aff_1(A,D,B,C) => ( D = B | D = C | ( ~ ( ~ r1_aff_1(A,D,B,E) & r1_aff_1(A,D,E,F) & r2_analoaf(A,B,E,C,F) ) & ~ ( r1_aff_1(A,D,B,E) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,D,B,G) & r1_aff_1(A,D,G,H) & r2_analoaf(A,B,G,C,H) & r2_analoaf(A,G,E,H,F) & r1_aff_1(A,D,B,F) ) ) ) ) | ( D != C & D != B & r1_aff_1(A,D,C,B) & ( ( ~ r1_aff_1(A,D,C,F) & r1_aff_1(A,D,F,E) & r2_analoaf(A,C,F,B,E) ) | ( r1_aff_1(A,D,C,F) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,D,C,G) & r1_aff_1(A,D,G,H) & r2_analoaf(A,C,G,B,H) & r2_analoaf(A,G,F,H,E) & r1_aff_1(A,D,C,E) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l8_int_2,axiom,( ! [A] : ( v1_int_1(A) => ( r1_int_1(A,k5_numbers) & r1_int_1(1,A) & r1_int_1(k4_xcmplx_0(1),A) ) ) )).
fof(l8_int_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_int_3)) => ( B != k4_struct_0(k1_int_3) => ! [C] : ( v1_int_1(C) => ~ ( C = B & r1_xxreal_0(k5_numbers,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(k1_int_3)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_int_3)) => ~ ( A = k3_rlvect_1(k1_int_3,k8_group_1(k1_int_3,D,B),E) & ~ ( E != k4_struct_0(k1_int_3) & r1_xxreal_0(k3_funct_2(u1_struct_0(k1_int_3),k4_ordinal1,k3_int_3,B),k3_funct_2(u1_struct_0(k1_int_3),k4_ordinal1,k3_int_3,E)) ) ) ) ) ) ) ) ) ) )).
fof(l8_int_8,axiom,( ! [A] : ( v1_int_1(A) => r1_int_1(2,k3_xcmplx_0(A,k2_xcmplx_0(A,1))) ) )).
fof(l8_integr19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r1_tarski(C,k1_relset_1(A,D)) => ( v1_funct_1(k2_partfun1(A,B,D,C)) & v1_funct_2(k2_partfun1(A,B,D,C),C,B) & m1_subset_1(k2_partfun1(A,B,D,C),k1_zfmisc_1(k2_zfmisc_1(C,B))) ) ) ) ) ) ) )).
fof(l8_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_integra1(A)) => ( k3_integra1(A) = k5_numbers => ( v2_integra1(B,A) & k11_integra1(A,B) = k5_numbers ) ) ) ) ) )).
fof(l8_intpro_1,axiom,( ! [A] : ~ ( v7_intpro_1(A) & v1_xboole_0(A) ) )).
fof(l8_jordan1,axiom,( u1_struct_0(k15_euclid(2)) = k1_euclid(2) )).
fof(l8_jordan1c,axiom,( g1_pre_topc(u1_struct_0(k15_euclid(2)),u1_pre_topc(k15_euclid(2))) = g1_pre_topc(u1_struct_0(k14_euclid(2)),k2_pcomps_1(k14_euclid(2))) )).
fof(l8_jordan1h,axiom,( r8_relat_2(k1_jordan1h,k1_numbers) )).
fof(l8_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( r2_tarski(A,k2_pcomps_1(k7_metric_1)) => v3_rcomp_1(A) ) ) )).
fof(l8_jordan5b,axiom,( v1_xreal_0(1) )).
fof(l8_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,A) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) ) ) ) ) ) ) ) )).
fof(l8_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) ) => ~ r1_xxreal_0(A,2) ) )).
fof(l8_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => v1_wellfnd1(k7_lattice3(k3_lattice3(A))) ) )).
fof(l8_lp_space,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( 1 = C & v1_series_1(k1_lp_space(A,C)) & v1_series_1(k1_lp_space(B,C)) ) => ( v1_series_1(k1_lp_space(k1_series_1(k1_numbers,A,B),C)) & r1_xxreal_0(k2_power(k4_series_1(k1_lp_space(k1_series_1(k1_numbers,A,B),C)),k7_xcmplx_0(1,C)),k2_xcmplx_0(k2_power(k4_series_1(k1_lp_space(A,C)),k7_xcmplx_0(1,C)),k2_power(k4_series_1(k1_lp_space(B,C)),k7_xcmplx_0(1,C)))) ) ) ) ) ) )).
fof(l8_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,F,k8_cqc_lang(A,k8_cqc_lang(A,B,D),E)),k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,F,k8_cqc_lang(A,k8_cqc_lang(A,C,D),E)))),k4_cqc_the1(A)) ) ) ) ) ) ) )).
fof(l8_matrix10,axiom,( r2_tarski(1,k1_numbers) )).
fof(l8_matrix17,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(B,C),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A))) => ( k2_xcmplx_0(B,C) = k2_xcmplx_0(A,1) | r2_hidden(k5_int_1(k6_xcmplx_0(k2_xcmplx_0(B,C),1),A),k2_finseq_1(A)) ) ) ) ) ) )).
fof(l8_matrix_7,axiom,( k10_finseq_1(1,2) != k10_finseq_1(2,1) )).
fof(l8_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k4_finseq_1(k3_fvsum_1(A,B,C)) = k9_subset_1(k4_ordinal1,k4_finseq_1(B),k4_finseq_1(C)) ) ) ) )).
fof(l8_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(k1_nat_1(A,2),u1_struct_0(B)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_nat_1(A,2),u1_struct_0(B)),u1_struct_0(B)))) ) => v2_midsp_1(g1_midsp_3(k1_nat_1(A,2),u1_struct_0(B),u1_midsp_1(B),C)) ) ) ) )).
fof(l8_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) => ( r2_modelc_2(k11_modelc_2(A),A) & r2_modelc_2(k12_modelc_2(A),A) ) ) ) )).
fof(l8_msafree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ( v4_msualg_1(k2_msafree1(A),A) & v1_msafree1(k2_msafree1(A),A) ) ) )).
fof(l8_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_subset_1(C,u1_struct_0(k5_msafree(A,B)),k7_dtconstr(k5_msafree(A,B))) <=> r2_tarski(C,k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))) ) ) ) )).
fof(l8_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v1_msscyc_1(B,A) & r1_graph_2(A,C,B) ) => k1_funct_1(C,1) = k1_funct_1(C,k3_finseq_1(C)) ) ) ) ) )).
fof(l8_msualg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => k9_xtuple_0(B) = k4_finseq_2(k18_margrel1(B),A) ) ) )).
fof(l8_nagata_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( r1_nagata_1(A,B) => ( v2_seq_2(B) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( m1_subset_1(D,A) => ( ~ v1_xboole_0(k7_relset_1(A,k1_numbers,k2_nagata_2(A,B,D),C)) & v3_xxreal_2(k7_relset_1(A,k1_numbers,k2_nagata_2(A,B,D),C)) ) ) ) ) ) ) ) )).
fof(l8_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( v1_finset_1(k2_enumset1(B,C,D,A)) & m1_subset_1(k2_enumset1(B,C,D,A),k1_zfmisc_1(k4_ordinal1)) ) ) ) ) ) )).
fof(l8_normsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c3__normsp_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c3__normsp_1)) => ! [C] : ( v1_xreal_0(C) => ( ( k2_normsp_0(c3__normsp_1,A) = k5_numbers => A = k4_struct_0(c3__normsp_1) ) & ( A = k4_struct_0(c3__normsp_1) => k2_normsp_0(c3__normsp_1,A) = k5_numbers ) & k2_normsp_0(c3__normsp_1,k1_rlvect_1(c3__normsp_1,A,C)) = k3_xcmplx_0(k9_complex1(C),k2_normsp_0(c3__normsp_1,A)) & r1_xxreal_0(k2_normsp_0(c3__normsp_1,k1_algstr_0(c3__normsp_1,A,B)),k2_xcmplx_0(k2_normsp_0(c3__normsp_1,A),k2_normsp_0(c3__normsp_1,B))) ) ) ) ) )).
fof(l8_numbers,axiom,( r1_tarski(k5_arytm_3,k3_numbers) )).
fof(l8_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),c1__ortsp_1),c1__ortsp_1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),c1__ortsp_1),c1__ortsp_1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1))) => ( ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k2_zfmisc_1(c1__ortsp_1,c1__ortsp_1)) & ? [E] : ( m1_subset_1(E,c1__ortsp_1) & ? [F] : ( m1_subset_1(F,c1__ortsp_1) & D = k1_domain_1(c1__ortsp_1,c1__ortsp_1,E,F) & F = c2__ortsp_1 ) ) ) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_symsp_1(D,A) ) => ( D = g1_symsp_1(A,c1__ortsp_1,c3__ortsp_1,c2__ortsp_1,B,C) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ~ ( E != k4_struct_0(D) & F != k4_struct_0(D) & G != k4_struct_0(D) & H != k4_struct_0(D) & ! [I] : ( m1_subset_1(I,u1_struct_0(D)) => ~ ( ~ r1_orders_2(D,I,E) & ~ r1_orders_2(D,I,F) & ~ r1_orders_2(D,I,G) & ~ r1_orders_2(D,I,H) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_orders_2(D,E,F) => r1_orders_2(D,k3_vectsp_1(A,D,G,E),F) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ( ( r1_orders_2(D,F,E) & r1_orders_2(D,G,E) ) => r1_orders_2(D,k3_rlvect_1(D,F,G),E) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ~ ( ~ r1_orders_2(D,F,E) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ r1_orders_2(D,k5_algstr_0(D,G,k3_vectsp_1(A,D,H,F)),E) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ( ( r1_orders_2(D,E,k5_algstr_0(D,F,G)) & r1_orders_2(D,F,k5_algstr_0(D,G,E)) ) => r1_orders_2(D,G,k5_algstr_0(D,E,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l8_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k5_algstr_0(A,k8_group_1(A,B,C),k8_group_1(A,D,E)) = k4_struct_0(A) => k5_algstr_0(A,k8_group_1(A,k8_group_1(A,k8_group_1(A,B,F),G),C),k8_group_1(A,k8_group_1(A,k8_group_1(A,D,F),G),E)) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(l8_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_algstr_0(A,k1_algstr_0(A,C,B),k1_algstr_0(A,D,B)) = k5_algstr_0(A,C,D) ) ) ) ) )).
fof(l8_petri_2,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,A))) ) => ~ ( C != D & r1_tarski(D,C) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ~ ( k2_partfun1(B,A,G,D) = F & k2_partfun1(B,A,G,C) != E ) ) ) ) ) ) ) ) )).
fof(l8_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_polyalg1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_polyalg1(A))) => ( C = k10_polynom3(A) => ( k6_algstr_0(k1_polyalg1(A),B,C) = B & k6_algstr_0(k1_polyalg1(A),C,B) = B ) ) ) ) ) )).
fof(l8_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k1_newton(A,2) = k3_xcmplx_0(A,A) ) )).
fof(l8_poset_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v1_orders_2(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_poset_1(C) & l1_orders_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(C),u1_struct_0(C)) & v5_orders_3(H,C,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( ( F = k3_funct_2(u1_struct_0(C),u1_struct_0(C),H,D) & r3_orders_2(C,D,F) & E = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_abian(u1_struct_0(C),H,A),D) & G = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_abian(u1_struct_0(C),H,k2_xcmplx_0(A,B)),D) ) => r3_orders_2(C,E,G) ) ) ) ) ) ) ) ) ) )).
fof(l8_prefer_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_xboole_0(k2_tarski(A,D),k2_tarski(B,C)) = k2_enumset1(A,B,C,D) )).
fof(l8_qmax_1,axiom,( k1_funct_1(c2__qmax_1,k1_numbers) = 1 )).
fof(l8_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_xxreal_2(k1_rvsum_1(D)) => ( k1_relset_1(A,D) = k1_xboole_0 | r1_xxreal_0(k1_xxreal_0,k12_supinf_2(C,k1_relset_1(A,D))) | ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ~ ( E = k1_relset_1(A,D) & r1_mesfunc6(A,B,D,E) ) ) | r3_mesfunc6(A,B,C,D) ) ) ) ) ) ) )).
fof(l8_real_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_real_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_real_lat)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_real_lat)) => k4_lattices(k3_real_lat,A,k3_lattices(k3_real_lat,B,C)) = k3_lattices(k3_real_lat,k4_lattices(k3_real_lat,A,B),k4_lattices(k3_real_lat,A,C)) ) ) ) )).
fof(l8_realset2,axiom,( m1_subset_1(k10_subset_1(k5_numbers,2),c4__realset2) )).
fof(l8_rfunct_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ( r1_xxreal_0(k3_finseq_1(C),A) => k17_finseq_1(B,A,C) = C ) ) ) ) )).
fof(l8_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => k1_rlsub_2(A,B,C) = C ) ) ) ) )).
fof(l8_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( ( v2_vectsp_2(D,A) & m1_rmod_2(D,A,B) ) => ( r1_tarski(u1_struct_0(C),u1_struct_0(D)) => k1_rmod_3(A,B,C,D) = D ) ) ) ) ) )).
fof(l8_rsspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_comseq_2(A) & k2_seq_4(k2_relset_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,A))) = k5_numbers ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_numbers ) ) ) )).
fof(l8_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => k1_rusub_2(A,B,C) = C ) ) ) ) )).
fof(l8_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k5_funcop_1(k11_binop_2,A,k6_partfun1(k1_numbers)),B) = k3_xcmplx_0(A,B) ) ) )).
fof(l8_scm_comp,axiom,( m2_subset_1(k4_tarski(k5_numbers,k5_numbers),u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) & m2_subset_1(k4_tarski(k5_numbers,1),u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) & m2_subset_1(k4_tarski(k5_numbers,2),u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) & m2_subset_1(k4_tarski(k5_numbers,3),u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) & m2_subset_1(k4_tarski(k5_numbers,4),u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) )).
fof(l8_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( m1_scmfsa_2(C) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ( r1_tarski(k4_scmfsa_7(C,D),B) => r1_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A) ) ) ) ) ) )).
fof(l8_scmpds_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ~ ( ~ r2_tarski(A,k1_tarski(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0))) & ~ r2_tarski(A,a_0_1_scmpds_2) & ~ r2_tarski(A,a_0_2_scmpds_2) & ~ r2_tarski(A,a_0_3_scmpds_2) & ~ r2_tarski(A,a_0_4_scmpds_2) & ~ r2_tarski(A,a_0_5_scmpds_2) ) ) )).
fof(l8_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ( ( r1_xxreal_0(3,D) & r1_scpisort(E,B,D) & k3_finseq_1(E) = C ) => ( k1_funct_1(k6_scmpds_4(k1_scpinvar(C,D),B,A),k1_scmp_gcd(1)) = k1_gr_cy_1(E) & r2_scmpds_6(k1_scpinvar(C,D),B,A) ) ) ) ) ) ) ) )).
fof(l8_series_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_valued_0(C) ) => ( A = k1_valued_1(B,C) <=> ! [D] : ( v7_ordinal1(D) => k1_funct_1(A,D) = k2_xcmplx_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) ) )).
fof(l8_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k1_square_1(A),k3_xcmplx_0(B,C)) => r1_xxreal_0(k9_complex1(A),k3_square_1(k3_xcmplx_0(B,C))) ) ) ) ) )).
fof(l8_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(1,k1_square_1(A)) & r1_xxreal_0(1,k9_complex1(A)) ) ) )).
fof(l8_sgraph1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( r2_tarski(C,A) => m1_subset_1(k2_xboole_0(B,k1_tarski(C)),k1_zfmisc_1(A)) ) ) )).
fof(l8_sin_cos6,axiom,( k1_rcomp_1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))) = k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)) )).
fof(l8_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_square_1(A),1)) ) ) )).
fof(l8_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_square_1(k2_sin_cos2(A)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k4_sin_cos2(k3_xcmplx_0(2,A)),1)) & k1_square_1(k4_sin_cos2(A)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k4_sin_cos2(k3_xcmplx_0(2,A)),1)) ) ) )).
fof(l8_srings_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_eqrel_1(E,k9_subset_1(A,C,D)) ) ) ) & ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ~ ( r1_tarski(D,C) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ~ m1_eqrel_1(E,k7_subset_1(A,C,D)) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ~ ( ~ v1_xboole_0(C) & r1_tarski(k3_tarski(D),C) & m1_eqrel_1(D,k3_tarski(D)) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ~ ( r1_xboole_0(k3_tarski(E),k3_tarski(D)) & m1_eqrel_1(k4_subset_1(B,D,E),C) ) ) ) ) ) ) ) )).
fof(l8_tex_1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) <=> m1_subset_1(A,k1_zfmisc_1(B)) ) )).
fof(l8_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(B)) & v5_pre_topc(C,k5_topmetr,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(B)) & v5_pre_topc(D,k5_topmetr,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(B)))) ) => v5_pre_topc(k1_topalg_2(A,B,C,D),k2_borsuk_1(k5_topmetr,k5_topmetr),B) ) ) ) ) )).
fof(l8_topalg_5,axiom,( k1_pre_topc(k5_topmetr,k2_struct_0(k5_topmetr)) = k5_topmetr )).
fof(l8_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_topdim_1(B,A) & r2_tarski(B,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),k4_card_1(B))) ) ) ) )).
fof(l8_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( v5_waybel23(B) => ( ( ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v2_tops_2(C,B) & m1_setfam_1(C,u1_struct_0(B)) & v4_card_3(C) & v2_topdim_1(C,B) & r1_xxreal_0(k3_topdim_1(B,C),A) ) => ( v3_topdim_1(B) & r1_xxreal_0(k4_topdim_1(B),A) ) ) & ~ ( v3_topdim_1(B) & r1_xxreal_0(k4_topdim_1(B),A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k2_struct_0(B) = k4_subset_1(u1_struct_0(B),C,D) & r1_xboole_0(C,D) & r1_xxreal_0(k2_topdim_1(B,C),k3_xxreal_3(A,1)) & r1_xxreal_0(k2_topdim_1(B,D),k5_numbers) ) ) ) ) ) ) ) ) )).
fof(l8_topgen_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) <=> ( v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) => ( u1_struct_0(A) = u1_struct_0(B) & r1_tarski(u1_pre_topc(A),u1_pre_topc(B)) ) ) ) ) )).
fof(l8_topgen_6,axiom,( u1_pre_topc(k2_topgen_3) = k1_cantor_1(k1_numbers,c1__topgen_6) )).
fof(l8_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k1_group_2(A,B),k1_group_2(A,C)) ) ) ) ) )).
fof(l8_topmetr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v6_metric_1(g1_metric_1(u1_struct_0(A),u1_metric_1(A))) & v7_metric_1(g1_metric_1(u1_struct_0(A),u1_metric_1(A))) & v8_metric_1(g1_metric_1(u1_struct_0(A),u1_metric_1(A))) & v9_metric_1(g1_metric_1(u1_struct_0(A),u1_metric_1(A))) & l1_metric_1(g1_metric_1(u1_struct_0(A),u1_metric_1(A))) ) ) )).
fof(l8_topreal2,axiom,( k17_euclid(k19_euclid(1,k5_numbers)) = 1 )).
fof(l8_toprealb,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(1,k28_sin_cos)) )).
fof(l8_tops_2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_finset_1(k7_setfam_1(u1_struct_0(A),B)) => v1_finset_1(B) ) ) ) )).
fof(l8_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) => ( r1_aff_1(A,B,C,D) | ( ~ r1_aff_1(A,D,E,B) & ~ r1_aff_1(A,C,B,E) & ~ r1_aff_1(A,E,D,C) ) ) ) ) ) ) ) ) )).
fof(l8_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(B,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B))) ) ) )).
fof(l8_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( r1_tarski(u1_struct_0(C),u1_struct_0(D)) => k1_vectsp_5(A,B,C,D) = D ) ) ) ) ) )).
fof(l8_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r1_tarski(k1_vectsp_6(A,B,C),D) & ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ~ ( v2_funct_1(E) & k10_xtuple_0(E) = D & k4_vectsp_6(A,B,C) = k4_rlvect_1(B,k3_vectsp_6(A,B,E,C)) ) ) ) ) ) ) ) )).
fof(l8_xreal_0,axiom,( m1_subset_1(k5_numbers,k2_arytm_2) )).
fof(l8_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(C,D) & r1_xxreal_0(k2_xcmplx_0(B,D),k2_xcmplx_0(A,C)) ) ) ) ) ) )).
fof(l8_xxreal_0,axiom,( k1_xxreal_0 != k4_tarski(k5_numbers,k5_numbers) )).
fof(l8_zf_fund2,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ~ ( ~ r2_tarski(C,k4_zf_lang1(A)) & B != k2_zf_lang(k5_numbers) & C != k2_zf_lang(k5_numbers) & C != k2_zf_lang(4) & ~ ( r2_tarski(k2_zf_lang(4),k2_zf_model(A)) <=> r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(k12_zf_lang(k2_zf_lang(3),k6_zf_lang(k4_zf_lang(k2_zf_lang(3),B),k6_zf_lang1(k6_zf_lang1(A,k2_zf_lang(k5_numbers),C),k2_zf_lang(4),k2_zf_lang(k5_numbers)))))) ) ) ) ) ) )).
fof(l90_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k6_xcmplx_0(k5_series_1(2,k1_nat_1(A,1)),k5_series_1(2,A)),1) ) ) )).
fof(l90_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_square_1(k1_square_1(A)) = k9_complex1(A) ) )).
fof(l90_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ~ r2_tarski(D,k24_qc_lang1(A,B)) => v2_cqc_the1(k8_cqc_lang(A,k11_cqc_lang(A,D,k8_cqc_lang(A,B,C)),k8_cqc_lang(A,B,k11_cqc_lang(A,D,C))),A) ) ) ) ) ) )).
fof(l90_fib_num4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,2),k7_xcmplx_0(k6_xcmplx_0(3,k3_square_1(5)),2)) )).
fof(l90_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k7_geomtrap(A,B,C))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k7_geomtrap(A,B,C))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k7_geomtrap(A,B,C))) => ! [L] : ( m1_subset_1(L,u1_struct_0(k7_geomtrap(A,B,C))) => ( ( r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) & k8_geomtrap(k7_geomtrap(A,B,C),D,H) = L & k8_geomtrap(k7_geomtrap(A,B,C),E,I) = L & k8_geomtrap(k7_geomtrap(A,B,C),F,J) = L & k8_geomtrap(k7_geomtrap(A,B,C),G,K) = L ) => r2_analoaf(k7_geomtrap(A,B,C),H,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l90_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( v2_glib_001(B,A) => v2_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) ) )).
fof(l90_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k3_finseq_2(k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k3_finseq_2(k1_numbers)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k3_finseq_2(k1_numbers)) => ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ( ( E = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(C),k18_graphsp(C))),B),D) & F = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(C),k18_graphsp(C))),k1_nat_1(B,1)),D) & k3_finseq_1(D) = k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(C,C),k3_xcmplx_0(3,C)),1) & r4_graphsp(G,E,A,C) & k1_funct_1(E,k2_xcmplx_0(C,A)) = k1_funct_1(F,k2_xcmplx_0(C,A)) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(G),H) | r2_tarski(k1_funct_1(G,H),k13_graphsp(E,C)) ) ) ) ) => ( k7_graphsp(E,C) = k1_xboole_0 | r4_graphsp(G,F,A,C) ) ) ) ) ) ) ) ) ) )).
fof(l90_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_integra5(A,k16_sin_cos) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A)) ) ) )).
fof(l90_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k4_intpro_1(A,k4_intpro_1(B,C)),k4_intpro_1(A,k4_intpro_1(C,B))),k8_intpro_1) ) ) ) )).
fof(l90_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( ( v1_topreal2(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),D))))) => ! [I] : ( ( v1_xreal_0(I) & v2_xxreal_0(I) ) => ( ( r1_topreal1(k15_euclid(2),B,C,E) & r1_tarski(E,D) & r1_tarski(D,k1_topreal9(2,A,I)) & r2_tarski(A,H) & r1_tarski(k9_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),G),k3_subset_1(u1_struct_0(k15_euclid(2)),G)),E) & r1_tarski(G,k1_topreal9(2,A,I)) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),E))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),E))))) ) => ~ ( v5_pre_topc(J,k2_brouwer(2,A,I),k1_pre_topc(k15_euclid(2),E)) & k2_partfun1(u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),E)),J,E) = k6_partfun1(E) & H = G & v3_connsp_1(H,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),D))) & F = k7_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal9(2,A,I),k6_domain_1(u1_struct_0(k15_euclid(2)),A)) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),F))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),F))))) ) => ~ ( v5_pre_topc(K,k2_brouwer(2,A,I),k1_pre_topc(k15_euclid(2),F)) & ! [L] : ( m1_subset_1(L,u1_struct_0(k2_brouwer(2,A,I))) => ( ( r2_tarski(L,k2_pre_topc(k15_euclid(2),G)) => k3_funct_2(u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),F)),K,L) = k3_funct_2(u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),E)),J,L) ) & ( r2_tarski(L,k3_subset_1(u1_struct_0(k15_euclid(2)),G)) => k3_funct_2(u1_struct_0(k2_brouwer(2,A,I)),u1_struct_0(k1_pre_topc(k15_euclid(2),F)),K,L) = L ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l90_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v11_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v11_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l90_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_oppcat_1(B))) => k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),k4_cat_1(k2_oppcat_1(B),D)) = k4_cat_1(A,k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,k10_oppcat_1(B,A,C)),D)) ) ) ) ) )).
fof(l90_pepin,axiom,( k4_nat_d(k11_newton(3,16),k4_pepin(3)) = k2_nat_1(83,3) )).
fof(l90_toprealb,axiom,( r1_tarski(k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers),k5_toprealb(c26__toprealb))),k2_rcomp_1(k5_numbers,1)) )).
fof(l90_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k7_xcmplx_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) = k7_xcmplx_0(k3_xcmplx_0(A,D),k3_xcmplx_0(B,C)) ) ) ) ) )).
fof(l90_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( k4_xxreal_3(A,B) = k5_numbers => ( v1_xreal_0(A) | B = k5_numbers ) ) ) ) )).
fof(l91_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(2,A) & r2_tarski(k6_xcmplx_0(k5_series_1(2,A),1),k5_asympt_1) ) ) )).
fof(l91_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( v2_vectsp_2(C,A) & m1_rmod_2(C,A,k3_vectsp_2(A)) & u1_struct_0(C) = B ) ) ) )).
fof(l91_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & v4_vectsp_1(A) & l4_algstr_0(A) ) => k3_group_4(A,k6_finseq_1(u1_struct_0(A))) = k5_struct_0(A) ) )).
fof(l91_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_geomtrap(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k7_geomtrap(A,B,C))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k7_geomtrap(A,B,C))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k7_geomtrap(A,B,C))) => ! [L] : ( m1_subset_1(L,u1_struct_0(k7_geomtrap(A,B,C))) => ! [M] : ( m1_subset_1(M,u1_struct_0(k7_geomtrap(A,B,C))) => ( ( r1_analmetr(A,B,C) & r2_analoaf(k7_geomtrap(A,B,C),L,M,D,H) & r2_analoaf(k7_geomtrap(A,B,C),L,M,E,I) & r2_analoaf(k7_geomtrap(A,B,C),L,M,F,J) & r2_analoaf(k7_geomtrap(A,B,C),L,M,G,K) & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) ) => ( L = M | r2_analoaf(k7_geomtrap(A,B,C),H,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l91_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ~ v3_glib_001(B,A) <=> r1_xxreal_0(3,k3_finseq_1(B)) ) ) ) )).
fof(l91_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k3_finseq_2(k1_numbers)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k3_finseq_2(k1_numbers)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k3_finseq_2(k1_numbers)) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ( ( F = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(D),k18_graphsp(D))),B),E) & G = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(D),k18_graphsp(D))),k1_nat_1(B,1)),E) & k3_finseq_1(E) = k1_nat_1(k2_xcmplx_0(k3_xcmplx_0(D,D),k3_xcmplx_0(3,D)),1) & r4_graphsp(H,F,C,D) & C = k1_funct_1(G,k2_xcmplx_0(D,A)) & k1_funct_1(F,k2_xcmplx_0(D,C)) = k1_funct_1(G,k2_xcmplx_0(D,C)) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(1,I) => ( r1_xxreal_0(k3_finseq_1(H),I) | r2_tarski(k1_funct_1(H,I),k13_graphsp(F,D)) ) ) ) ) => ( k7_graphsp(F,D) = k1_xboole_0 | C = A | r2_tarski(A,k13_graphsp(F,D)) | ! [I] : ( m2_finseq_1(I,k4_ordinal1) => ( I = k7_finseq_1(H,k9_finseq_1(A)) => r4_graphsp(I,G,A,D) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l91_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r2_group_6(k5_group_6(A,k9_group_6(A,B,C)),k10_group_6(A,B,C)) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k10_group_6(A,B,C))) & v1_group_6(D,k5_group_6(A,k9_group_6(A,B,C)),k10_group_6(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k10_group_6(A,B,C))))) & v3_funct_2(D,u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k10_group_6(A,B,C))) & r1_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(A),u1_struct_0(k10_group_6(A,B,C)),C,k1_partfun1(u1_struct_0(A),u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k10_group_6(A,B,C)),k8_group_6(A,k9_group_6(A,B,C)),D)) ) ) ) ) ) )).
fof(l91_jordan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))))) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( E != F => ! [H] : ( ( v1_xreal_0(H) & v2_xxreal_0(H) ) => ( ( r1_tarski(G,B) & r1_tarski(B,k1_topreal9(2,A,H)) & r2_tarski(A,F) & r1_tarski(k9_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),D),k3_subset_1(u1_struct_0(k15_euclid(2)),D)),G) ) => ( r1_xboole_0(k1_topreal9(2,A,H),D) | ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),G))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),G))))) ) => ~ ( v5_pre_topc(I,k2_brouwer(2,A,H),k1_pre_topc(k15_euclid(2),G)) & k2_partfun1(u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),G)),I,G) = k6_partfun1(G) & E = D & v3_connsp_1(E,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))) & v3_connsp_1(F,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),B))) & C = k7_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal9(2,A,H),k6_domain_1(u1_struct_0(k15_euclid(2)),A)) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))))) ) => ~ ( v5_pre_topc(J,k2_brouwer(2,A,H),k1_pre_topc(k15_euclid(2),C)) & ! [K] : ( m1_subset_1(K,u1_struct_0(k2_brouwer(2,A,H))) => ( ( r2_tarski(K,k2_pre_topc(k15_euclid(2),D)) => k3_funct_2(u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),C)),J,K) = K ) & ( r2_tarski(K,k3_subset_1(u1_struct_0(k15_euclid(2)),D)) => k3_funct_2(u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),C)),J,K) = k3_funct_2(u1_struct_0(k2_brouwer(2,A,H)),u1_struct_0(k1_pre_topc(k15_euclid(2),G)),I,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l91_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( ( ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(C,E) = k35_modelc_1(A,B,E) ) & ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(D,E) = k35_modelc_1(A,B,E) ) ) => r2_funct_2(k30_modelc_1(A),k30_modelc_1(A),C,D) ) ) ) ) ) )).
fof(l91_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C = u1_struct_0(k1_rlvect_3(A,B)) & v1_xboole_0(k1_normsp_3(A,C)) ) ) ) ) )).
fof(l91_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v11_o_ring_1(B,A) & v1_o_ring_1(C,A) ) => v11_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l91_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(k2_oppcat_1(B))) => ( k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,k10_oppcat_1(B,A,C)),k3_graph_1(k2_oppcat_1(B),D)) = k4_graph_1(A,k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),D)) & k3_funct_2(u1_struct_0(k2_oppcat_1(B)),u1_struct_0(A),k7_cat_1(k2_oppcat_1(B),A,k10_oppcat_1(B,A,C)),k4_graph_1(k2_oppcat_1(B),D)) = k3_graph_1(A,k3_funct_2(u4_struct_0(k2_oppcat_1(B)),u4_struct_0(A),k10_oppcat_1(B,A,C),D)) ) ) ) ) ) )).
fof(l91_pepin,axiom,( k4_nat_d(k11_newton(3,32),k4_pepin(3)) = 64 )).
fof(l91_polyred,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k12_polynom1(A,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(A,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k12_polynom1(A,C))) => ( r2_tarski(F,D) => ( F = k8_polynom1(A,C) | G = k8_polynom1(A,C) | r2_rewrite1(k3_polyred(A,B,C,D),E,k3_rlvect_1(k12_polynom1(A,C),E,k8_group_1(k12_polynom1(A,C),G,F))) ) ) ) ) ) ) ) ) ) )).
fof(l91_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k5_numbers,k6_prepower(A,B)) ) ) ) )).
fof(l91_scmpds_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ( k5_compos_0(u1_compos_1(k1_scmpds_2),B) = k5_numbers => k2_extpro_1(k5_card_1(2),k1_scmpds_2,B,A) = A ) ) ) )).
fof(l91_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_pre_topc(C,A) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => m1_pre_topc(B,C) ) ) ) ) )).
fof(l91_toprealb,axiom,( v1_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers),k5_toprealb(c26__toprealb))) & v1_funct_2(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers),k5_toprealb(c26__toprealb)),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & m1_subset_1(k2_partfun1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers),k5_toprealb(c26__toprealb)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))))) )).
fof(l91_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,k5_numbers) ) => r1_xxreal_0(k3_xcmplx_0(B,C),k3_xcmplx_0(A,C)) ) ) ) ) )).
fof(l91_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( A = k5_numbers => k4_xxreal_3(A,k4_xxreal_3(B,C)) = k4_xxreal_3(k4_xxreal_3(A,B),C) ) ) ) ) )).
fof(l92_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k4_complex1(A) = k5_numbers => ( r1_xxreal_0(k3_complex1(A),k5_numbers) | r1_xxreal_0(k1_comptrig(B),k5_numbers) | r1_xxreal_0(k28_sin_cos,k1_comptrig(B)) | ( k2_xcmplx_0(k2_xcmplx_0(k4_complex2(A,k5_complex1,B),k4_complex2(k5_complex1,B,A)),k4_complex2(B,A,k5_complex1)) = k28_sin_cos & ~ r1_xxreal_0(k4_complex2(k5_complex1,B,A),k5_numbers) & ~ r1_xxreal_0(k4_complex2(B,A,k5_complex1),k5_numbers) ) ) ) ) ) )).
fof(l92_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_tarski(k16_ens_1(B),A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_ens_1(A))) => ( E = k2_cat_1(B,C,D) => k3_funct_2(u4_struct_0(k6_cat_2(B,B)),k2_ens_1(k16_ens_1(B)),k22_ens_1(B),k8_cat_2(B,B,k4_cat_1(B,C),k4_cat_1(B,D))) = k4_cat_1(k11_ens_1(A),E) ) ) ) ) ) ) ) )).
fof(l92_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_partfun1(D,C) & v1_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,C))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( r2_tarski(B,A) => v1_fomodel3(E,k1_tarski(k4_tarski(B,B)),D) ) ) ) ) )).
fof(l92_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ~ ( ~ v3_glib_001(B,A) & k3_finseq_1(B) = 1 ) & ~ ( k3_finseq_1(B) != 1 & v3_glib_001(B,A) ) ) ) ) )).
fof(l92_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( m2_finseq_2(D,k1_numbers,k3_finseq_2(k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k3_finseq_2(k1_numbers)) => ! [F] : ( ( ~ v2_struct_0(F) & v2_graph_1(F) & v6_graph_1(F) & l1_graph_1(F) ) => ! [G] : ( ( v7_graph_1(G,F) & m2_graph_1(G,F) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u4_struct_0(F),k8_graph_5) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(F),k8_graph_5))) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(F)) => ! [J] : ( m1_subset_1(J,u1_struct_0(F)) => ~ ( r6_graphsp(D,F,B,H) & r5_graph_5(F,H) & J = A & I != J & r1_xxreal_0(1,A) & r1_xxreal_0(A,B) & r8_graph_5(F,I,J,G,C,H) & ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ( ( k1_funct_1(E,k2_xcmplx_0(B,L)) = k4_xcmplx_0(1) & r1_xxreal_0(1,L) & r1_xxreal_0(L,B) & r2_tarski(K,C) ) => k1_funct_1(D,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),k3_xcmplx_0(B,K)),L)) = k4_xcmplx_0(1) ) ) ) & k1_funct_1(E,k2_xcmplx_0(B,A)) = k4_xcmplx_0(1) ) ) ) ) ) ) ) ) ) ) )).
fof(l92_jordan,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A))))) => ( ( C = B & v3_connsp_1(C,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A))) ) => ( v1_xboole_0(k1_jordan2c(2,A)) | A = k2_tops_1(k15_euclid(2),B) ) ) ) ) ) )).
fof(l92_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_tarski(D,k9_lpspace1(A,B,C)) => ( r3_mesfunc6(A,B,C,D) & ? [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) & k1_funct_1(C,k3_subset_1(A,E)) = k5_numbers & E = k1_relset_1(A,D) & r1_mesfunc6(A,B,D,E) ) ) ) ) ) ) ) )).
fof(l92_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc2(A,B,D) & v6_supinf_2(D) & r1_mesfunc2(A,B,E) & k1_relset_1(A,E) = k1_relset_1(A,D) & v6_supinf_2(E) & ! [F] : ( r2_tarski(F,k1_relset_1(A,D)) => r1_xxreal_0(k12_supinf_2(E,F),k12_supinf_2(D,F)) ) ) => ( k1_relset_1(A,D) = k1_xboole_0 | ( r1_mesfunc2(A,B,k4_mesfunc1(A,D,E)) & k1_relset_1(A,k4_mesfunc1(A,D,E)) != k1_xboole_0 & v6_supinf_2(k4_mesfunc1(A,D,E)) & k1_mesfunc3(A,B,C,D) = k3_supinf_2(k1_mesfunc3(A,B,C,k4_mesfunc1(A,D,E)),k1_mesfunc3(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(l92_pepin,axiom,( k4_nat_d(k11_newton(3,64),k4_pepin(3)) = 241 )).
fof(l92_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & k6_prepower(A,B) = k5_numbers ) ) ) )).
fof(l92_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_convex1(k2_pre_topc(A,B),A) ) ) )).
fof(l92_toprealb,axiom,( k6_toprealb(k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers)) = k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers) )).
fof(l92_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( B = k5_numbers => k4_xxreal_3(A,k4_xxreal_3(B,C)) = k4_xxreal_3(k4_xxreal_3(A,B),C) ) ) ) ) )).
fof(l93_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k1_bcialg_1(A,k1_bcialg_1(A,B,E),k1_bcialg_1(A,D,C)) = k1_bcialg_1(A,k1_bcialg_1(A,C,E),k1_bcialg_1(A,D,B)) & k1_bcialg_1(A,k1_bcialg_1(A,B,E),k1_bcialg_1(A,D,C)) = k1_bcialg_1(A,k1_bcialg_1(A,B,D),k1_bcialg_1(A,E,C)) ) ) ) ) ) ) ) )).
fof(l93_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : k7_enumset1(A,B,C,D,E,F,G,H,I) = k2_xboole_0(k2_enumset1(A,B,C,D),k3_enumset1(E,F,G,H,I)) )).
fof(l93_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v1_partfun1(D,A) & v1_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( m2_fomodel2(E,B,A,C) => v2_fomodel3(E,B,A,C,D) ) ) ) ) ) )).
fof(l93_funct_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_relat_1(C) => ( k8_funct_7(k8_funct_7(C,A),B) = k8_funct_7(C,k3_xcmplx_0(A,B)) => k8_funct_7(k8_funct_7(C,A),k1_nat_1(B,1)) = k8_funct_7(C,k3_xcmplx_0(A,k1_nat_1(B,1))) ) ) ) ) )).
fof(l93_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) <=> ? [C] : ( m1_subset_1(C,k6_glib_000(A)) & r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B,k1_glib_001(A,C)) ) ) ) ) )).
fof(l93_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k3_finseq_2(k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k3_finseq_2(k1_numbers)) => ! [F] : ( ( ~ v2_struct_0(F) & v2_graph_1(F) & v6_graph_1(F) & l1_graph_1(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u4_struct_0(F),k8_graph_5) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(F),k8_graph_5))) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => ( ( r6_graphsp(C,F,B,G) & H = 1 & r1_xxreal_0(1,B) & D = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B))),A),C) & E = k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B))),k1_nat_1(A,1)),C) & r2_tarski(1,k13_graphsp(D,B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(F)) => ! [J] : ( v7_ordinal1(J) => ~ ( I != H & I = J & k1_funct_1(D,k2_xcmplx_0(B,J)) != k4_xcmplx_0(1) & ! [K] : ( m2_finseq_1(K,k4_ordinal1) => ! [L] : ( ( v7_graph_1(L,F) & m2_graph_1(L,F) ) => ~ ( r4_graphsp(K,D,J,B) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(1,M) => ( r1_xxreal_0(k3_finseq_1(K),M) | r2_tarski(k1_funct_1(K,M),k13_graphsp(D,B)) ) ) ) & r5_graphsp(F,L,K) & r8_graph_5(F,H,I,L,k13_graphsp(D,B),G) & k10_graph_5(F,L,G) = k1_funct_1(D,k2_xcmplx_0(k3_xcmplx_0(2,B),J)) & ( ~ r2_tarski(I,k13_graphsp(D,B)) => r9_graph_5(F,L,k13_graphsp(D,B),H,G) ) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( k1_funct_1(D,k2_xcmplx_0(B,J)) = k4_xcmplx_0(1) & r1_xxreal_0(1,J) & r1_xxreal_0(J,B) & r2_tarski(I,k13_graphsp(D,B)) ) => k1_funct_1(C,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),k3_xcmplx_0(B,I)),J)) = k4_xcmplx_0(1) ) ) ) & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k13_graphsp(D,B)) & k1_funct_1(D,k2_xcmplx_0(B,I)) = k4_xcmplx_0(1) ) ) ) => ( k7_graphsp(D,B) = k1_xboole_0 | ( ! [I] : ( m1_subset_1(I,u1_struct_0(F)) => ! [J] : ( v7_ordinal1(J) => ~ ( I != H & I = J & k1_funct_1(E,k2_xcmplx_0(B,J)) != k4_xcmplx_0(1) & ! [K] : ( m2_finseq_1(K,k4_ordinal1) => ! [L] : ( ( v7_graph_1(L,F) & m2_graph_1(L,F) ) => ~ ( r4_graphsp(K,E,J,B) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(1,M) => ( r1_xxreal_0(k3_finseq_1(K),M) | r2_tarski(k1_funct_1(K,M),k13_graphsp(E,B)) ) ) ) & r5_graphsp(F,L,K) & r8_graph_5(F,H,I,L,k13_graphsp(E,B),G) & k10_graph_5(F,L,G) = k1_funct_1(E,k2_xcmplx_0(k3_xcmplx_0(2,B),J)) & ( ~ r2_tarski(I,k13_graphsp(E,B)) => r9_graph_5(F,L,k13_graphsp(E,B),H,G) ) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( k1_funct_1(E,k2_xcmplx_0(B,J)) = k4_xcmplx_0(1) & r1_xxreal_0(1,J) & r1_xxreal_0(J,B) & r2_tarski(I,k13_graphsp(E,B)) ) => k1_funct_1(C,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),k3_xcmplx_0(B,I)),J)) = k4_xcmplx_0(1) ) ) ) & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k13_graphsp(E,B)) & k1_funct_1(E,k2_xcmplx_0(B,I)) = k4_xcmplx_0(1) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l93_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => m1_group_9(C,A,k19_group_9(A,B,C,D)) ) ) ) )).
fof(l93_jordan,axiom,( k17_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k4_xcmplx_0(1) )).
fof(l93_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v2_xxreal_0(E) & v1_xreal_0(E) ) => ( r2_tarski(D,k1_lpspace2(A,B,C,E)) => r3_mesfunc6(A,B,C,k2_mesfun6c(E,A,k56_valued_1(A,k1_numbers,D))) ) ) ) ) ) ) )).
fof(l93_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_o_ring_1(B,A) & v3_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l93_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),k4_cat_1(B,D)) = k4_cat_1(k2_oppcat_1(A),k3_funct_2(u1_struct_0(B),u1_struct_0(k2_oppcat_1(A)),k7_cat_1(B,k2_oppcat_1(A),k11_oppcat_1(B,A,C)),D)) ) ) ) ) )).
fof(l93_pepin,axiom,( k4_nat_d(k11_newton(3,128),k4_pepin(3)) = 256 )).
fof(l93_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_convex1(k1_tops_1(A,B),A) ) ) )).
fof(l93_scmfsa8c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ~ ( ~ r4_scmfsa7b(B,A) & ~ r4_scmfsa7b(C,A) & r4_scmfsa7b(k8_compos_1(k1_scmfsa_2,B,C),A) ) ) ) ) )).
fof(l93_toprealb,axiom,( k1_relset_1(k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers)) = k1_numbers )).
fof(l93_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ v1_xreal_0(B) => k4_xxreal_3(A,k4_xxreal_3(B,C)) = k4_xxreal_3(k4_xxreal_3(A,B),C) ) ) ) ) )).
fof(l94_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k2_bcialg_1(A,C),k1_bcialg_1(A,k4_struct_0(A),B)) = k1_bcialg_1(A,B,C) ) ) ) ) )).
fof(l94_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k26_fomodel4(B)),C) => v1_partfun1(k8_fomodel4(B,C,A),k35_fomodel1(B)) ) ) ) )).
fof(l94_geomtrap,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [F] : ( m1_subset_1(F,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [I] : ( m1_subset_1(I,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ! [J] : ( m1_subset_1(J,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ( ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,B,C) => ( A = B & B = C ) ) & ( ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,E,F) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,G,H) ) => ( A = B | r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),E,F,G,H) ) ) & ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,C,D) => ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),C,D,A,B) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),B,A,D,C) ) ) & ~ ! [K] : ( m1_subset_1(K,u1_struct_0(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)))) => ( ~ r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,C,K) & ~ r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,K,C) ) ) & ~ ( r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,C,I) & r2_analoaf(g1_analoaf(u1_struct_0(o_0_3_geomtrap),u1_analoaf(o_0_3_geomtrap)),A,B,C,J) & A != B & I != J ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l94_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v4_glib_001(B,A) <=> ! [C] : ( ( v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(l94_jordan,axiom,( k17_euclid(k19_euclid(1,k5_numbers)) = 1 )).
fof(l94_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ? [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) & k1_funct_1(C,k3_subset_1(A,E)) = k5_numbers & E = k1_relset_1(A,D) & r1_mesfunc6(A,B,D,E) ) => r1_tarski(k5_lpspace2(A,B,C,D,1),k13_lpspace1(A,B,C,D)) ) ) ) ) ) )).
fof(l94_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( C != k4_struct_0(B) & k1_laplace(B,k4_group_1(B),C,A) = k4_struct_0(B) ) ) ) ) )).
fof(l94_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k18_normsp_3(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k18_normsp_3(A,B))) => ! [G] : ( v1_xreal_0(G) => ( ( C = E & D = F ) => ( k2_normsp_0(A,C) = k2_normsp_0(k18_normsp_3(A,B),E) & k3_rlvect_1(A,C,D) = k1_algstr_0(k18_normsp_3(A,B),E,F) & k1_rlvect_1(A,C,G) = k1_rlvect_1(k18_normsp_3(A,B),E,G) ) ) ) ) ) ) ) ) ) )).
fof(l94_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l94_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,B,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ( k3_funct_2(u1_struct_0(B),u1_struct_0(k2_oppcat_1(A)),k7_cat_1(B,k2_oppcat_1(A),k11_oppcat_1(B,A,C)),k3_graph_1(B,D)) = k4_graph_1(k2_oppcat_1(A),k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),D)) & k3_funct_2(u1_struct_0(B),u1_struct_0(k2_oppcat_1(A)),k7_cat_1(B,k2_oppcat_1(A),k11_oppcat_1(B,A,C)),k4_graph_1(B,D)) = k3_graph_1(k2_oppcat_1(A),k3_funct_2(u4_struct_0(B),u4_struct_0(k2_oppcat_1(A)),k11_oppcat_1(B,A,C),D)) ) ) ) ) ) )).
fof(l94_pepin,axiom,( k4_nat_d(k11_newton(3,2),k4_pepin(4)) = 9 )).
fof(l94_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v3_rltopsp1(k2_pre_topc(A,B),A) ) ) )).
fof(l94_scmfsa8c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ~ ( ~ r4_scmfsa7b(B,A) & r4_scmfsa7b(k2_compos_2(k1_scmfsa_2,B,k11_scmfsa_2(k5_numbers)),A) ) ) ) )).
fof(l94_toprealb,axiom,( k2_relset_1(k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k3_xcmplx_0(2,k28_sin_cos)),k5_numbers)) = k1_numbers )).
fof(l94_turing_1,axiom,( ! [A] : ( m1_subset_1(A,k3_zfmisc_1(u2_turing_1(k17_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k17_turing_1)))) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(k17_turing_1),k9_funct_2(k4_numbers,u1_turing_1(k17_turing_1))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( A = k4_domain_1(k4_ordinal1,k4_ordinal1,k9_funct_2(k4_numbers,u1_turing_1(k17_turing_1)),k5_numbers,C,B) & r2_turing_1(k2_finseq_4(k4_ordinal1,C,D),k17_turing_1,B) ) => ( v2_turing_1(A,k17_turing_1) & k2_mcart_1(u2_turing_1(k17_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k17_turing_1)),k10_turing_1(k17_turing_1,A)) = C & r2_turing_1(k2_finseq_4(k4_ordinal1,C,k5_numbers),k17_turing_1,k3_mcart_1(u2_turing_1(k17_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k17_turing_1)),k10_turing_1(k17_turing_1,A))) ) ) ) ) ) ) )).
fof(l94_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ v1_xreal_0(A) => k4_xxreal_3(A,k4_xxreal_3(B,C)) = k4_xxreal_3(k4_xxreal_3(A,B),C) ) ) ) ) )).
fof(l95_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(2,A) & r1_xxreal_0(k7_newton(A),1) ) ) )).
fof(l95_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,D,C)) = k1_bcialg_1(A,B,D) ) ) ) ) ) )).
fof(l95_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k4_xcmplx_0(k9_complex1(A)),A) & r1_xxreal_0(A,k9_complex1(A)) ) ) )).
fof(l95_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ( k4_complex1(A) = k5_numbers & k1_comptrig(B) = k28_sin_cos ) => ( r1_xxreal_0(k3_complex1(A),k5_numbers) | ( k2_xcmplx_0(k2_xcmplx_0(k4_complex2(A,k5_numbers,B),k4_complex2(k5_numbers,B,A)),k4_complex2(B,A,k5_numbers)) = k28_sin_cos & k5_numbers = k4_complex2(k5_numbers,B,A) & k5_numbers = k4_complex2(B,A,k5_numbers) ) ) ) ) ) )).
fof(l95_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k28_fomodel4(B)),C) & v11_fomodel4(A,B,C) ) => v3_relat_2(k8_fomodel4(B,C,A)) ) ) ) )).
fof(l95_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k48_gfacirc1(A,B,C)) & H = k1_funct_1(F,D) & I = k1_funct_1(F,E) ) => ( k1_funct_1(k6_circuit2(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k48_gfacirc1(A,B,C),E),k6_twoscomp)) = k9_margrel1(k8_margrel1(G),k8_margrel1(I)) & k1_funct_1(k6_circuit2(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(E,D),k6_twoscomp)) = k9_margrel1(k8_margrel1(I),k8_margrel1(H)) & k1_funct_1(k6_circuit2(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(D,k48_gfacirc1(A,B,C)),k6_twoscomp)) = k9_margrel1(k8_margrel1(H),k8_margrel1(G)) ) ) ) ) ) ) ) ) ) ) )).
fof(l95_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v4_glib_001(B,A) <=> v4_glib_001(k6_glib_001(A,B),A) ) ) ) )).
fof(l95_jordan,axiom,( k18_euclid(k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k5_numbers )).
fof(l95_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_tarski(k13_lpspace1(A,B,C,D),k5_lpspace2(A,B,C,D,1)) ) ) ) ) )).
fof(l95_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( ( ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(C,E) = k38_modelc_1(A,B,E) ) & ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(D,E) = k38_modelc_1(A,B,E) ) ) => r2_funct_2(k30_modelc_1(A),k30_modelc_1(A),C,D) ) ) ) ) ) )).
fof(l95_newton,axiom,( r1_xxreal_0(k1_nat_1(k5_numbers,1),k1_newton(2,k5_numbers)) )).
fof(l95_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_o_ring_1(B,A) & v13_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l95_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( ( r2_wellord1(A,B) & r1_tarski(C,B) ) => r2_wellord1(A,C) ) ) )).
fof(l95_pepin,axiom,( k4_nat_d(k11_newton(3,4),k4_pepin(4)) = 81 )).
fof(l95_scmfsa8c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ~ ( ~ r4_scmfsa7b(C,A) & r4_scmfsa7b(k2_scmfsa_x(B,k2_compos_2(k1_scmfsa_2,C,k11_scmfsa_2(k5_numbers))),A) ) ) ) ) )).
fof(l95_toprealb,axiom,( k1_pre_topc(k2_topalg_2,k2_struct_0(k2_topalg_2)) = k2_topalg_2 )).
fof(l96_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(B,A) => r1_xxreal_0(k7_newton(B),k7_newton(A)) ) ) ) )).
fof(l96_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_bcialg_1(A,B,C) = k1_bcialg_1(A,B,D) => C = D ) ) ) ) ) ) )).
fof(l96_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ( ( C = D => k18_fomodel0(B,D,A,k12_finseq_1(B,C)) = k9_finseq_1(A) ) & ( C != D => k18_fomodel0(B,D,A,k12_finseq_1(B,C)) = k12_finseq_1(B,C) ) ) ) ) ) )).
fof(l96_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k27_fomodel4(B)),C) & v11_fomodel4(A,B,C) ) => v8_relat_2(k8_fomodel4(B,C,A)) ) ) ) )).
fof(l96_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( G = k1_funct_1(F,k48_gfacirc1(A,B,C)) & H = k1_funct_1(F,E) ) => k1_funct_1(k6_circuit2(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F),k4_tarski(k10_finseq_1(k48_gfacirc1(A,B,C),E),k1_facirc_1)) = k2_binarith(G,H) ) ) ) ) ) ) ) ) )).
fof(l96_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( v4_glib_001(B,A) => v4_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) ) )).
fof(l96_jordan,axiom,( k18_euclid(k19_euclid(1,k5_numbers)) = k5_numbers )).
fof(l96_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ? [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) & k1_funct_1(C,k3_subset_1(A,E)) = k5_numbers & E = k1_relset_1(A,D) & r1_mesfunc6(A,B,D,E) ) => k5_lpspace2(A,B,C,D,1) = k13_lpspace1(A,B,C,D) ) ) ) ) ) )).
fof(l96_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(k1_nat_1(A,1),k1_newton(2,A)) => r1_xxreal_0(k1_nat_1(k1_nat_1(A,1),1),k1_newton(2,k1_nat_1(A,1))) ) ) )).
fof(l96_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_o_ring_1(B,A) & v7_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l96_pepin,axiom,( k4_nat_d(k11_newton(3,8),k4_pepin(4)) = 6561 )).
fof(l96_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( ( v9_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v9_rltopsp1(k2_pre_topc(A,B),A) ) ) )).
fof(l96_toprealb,axiom,( v1_funct_1(c28__toprealb) & v1_funct_2(c28__toprealb,u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))) & v5_pre_topc(c28__toprealb,k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb)),k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1)))) & m1_subset_1(c28__toprealb,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(c26__toprealb))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_rcomp_1(k5_numbers,1))))))) )).
fof(l96_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(A,k7_xcmplx_0(1,B)) = k7_xcmplx_0(A,B) ) ) )).
fof(l97_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(1,A) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_xxreal_0(k7_newton(B),A) & ~ r1_xxreal_0(k7_newton(k1_nat_1(B,1)),A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(k7_newton(C),A) => ( r1_xxreal_0(k7_newton(k1_nat_1(C,1)),A) | C = B ) ) ) ) ) ) ) )).
fof(l97_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,C,D)) = k1_bcialg_1(A,k1_bcialg_1(A,D,C),k2_bcialg_1(A,B)) ) ) ) ) ) )).
fof(l97_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => r1_tarski(k13_cohsp_1(k13_cohsp_1(A)),A) ) )).
fof(l97_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( k3_finseq_1(B) = A => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) => ! [E] : ( v1_finset_1(E) => ~ ( E = a_3_0_finseq_3(B,C,D) & ~ r2_tarski(k1_funct_1(B,D),C) & k1_funct_1(k1_finseq_3(B,C),k6_xcmplx_0(D,k4_card_1(E))) != k1_funct_1(B,D) ) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( k3_finseq_1(B) = k1_nat_1(A,1) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) => ! [E] : ( v1_finset_1(E) => ~ ( E = a_3_0_finseq_3(B,C,D) & ~ r2_tarski(k1_funct_1(B,D),C) & k1_funct_1(k1_finseq_3(B,C),k6_xcmplx_0(D,k4_card_1(E))) != k1_funct_1(B,D) ) ) ) ) ) ) ) ) )).
fof(l97_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,B) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,B) & v1_funct_1(E) & v1_finseq_1(E) ) => k19_fomodel0(B,A,C,k7_finseq_1(D,E)) = k1_monoid_0(B,k19_fomodel0(B,A,C,D),k19_fomodel0(B,A,C,E)) ) ) ) ) )).
fof(l97_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ( ( r1_tarski(k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k27_fomodel4(B)),C) & r1_tarski(k7_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))),k26_fomodel4(B),k28_fomodel4(B)),C) & v11_fomodel4(A,B,C) ) => ( v1_partfun1(k8_fomodel4(B,C,A),k35_fomodel1(B)) & v3_relat_2(k8_fomodel4(B,C,A)) & v8_relat_2(k8_fomodel4(B,C,A)) & m1_subset_1(k8_fomodel4(B,C,A),k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(B),k35_fomodel1(B)))) ) ) ) ) )).
fof(l97_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k48_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k49_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k48_gfacirc1(A,B,C),E),k6_twoscomp)) = k9_margrel1(k2_binarith(k2_binarith(k8_margrel1(G),k8_margrel1(H)),k8_margrel1(I)),k8_margrel1(K)) & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(E,D),k6_twoscomp)) = k9_margrel1(k8_margrel1(K),k8_margrel1(J)) & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(D,k48_gfacirc1(A,B,C)),k6_twoscomp)) = k9_margrel1(k8_margrel1(J),k2_binarith(k2_binarith(k8_margrel1(G),k8_margrel1(H)),k8_margrel1(I))) & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l97_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( v4_glib_001(B,A) & r2_tarski(C,k28_glib_000(A,k4_glib_001(A,B))) ) => ( r2_tarski(C,k14_glib_001(A,B)) | v4_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(l97_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ( m1_group_2(C,B) <=> g3_algstr_0(u1_struct_0(k10_group_2(A,C,B)),u2_algstr_0(k10_group_2(A,C,B))) = g3_algstr_0(u1_struct_0(C),u2_algstr_0(C)) ) ) ) ) )).
fof(l97_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k21_interva1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k21_interva1(A))) => k1_lattices(k21_interva1(A),B,C) = k1_lattices(k21_interva1(A),C,B) ) ) ) )).
fof(l97_jordan,axiom,( k17_euclid(k19_euclid(k5_numbers,3)) = k5_numbers )).
fof(l97_matrixj1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( m2_finseq_2(D,u1_struct_0(C),k4_finseq_2(A,u1_struct_0(C))) => ! [E] : ( m2_finseq_2(E,u1_struct_0(C),k4_finseq_2(A,u1_struct_0(C))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(C),k4_finseq_2(B,u1_struct_0(C))) => ! [G] : ( m2_finseq_2(G,u1_struct_0(C),k4_finseq_2(B,u1_struct_0(C))) => k4_rlvect_1(C,k11_fvsum_1(C,k8_finseq_1(u1_struct_0(C),D,F),k8_finseq_1(u1_struct_0(C),E,G))) = k3_rlvect_1(C,k4_rlvect_1(C,k12_fvsum_1(A,C,D,E)),k4_rlvect_1(C,k12_fvsum_1(B,C,F,G))) ) ) ) ) ) ) ) )).
fof(l97_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_o_ring_1(B,A) & v9_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l97_ordinal6,axiom,( k13_ordinal6(1,k5_numbers) = k3_ordinal5(k5_numbers) )).
fof(l97_pepin,axiom,( k4_nat_d(k11_newton(3,16),k4_pepin(4)) = k1_nat_1(k2_nat_1(164,332),1) )).
fof(l97_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ! [B] : ( m1_connsp_2(B,A,k4_struct_0(A)) => ! [C] : ( m1_connsp_2(C,A,k4_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [E] : ( ( v2_xxreal_0(E) & v1_xreal_0(E) ) => ( ( ! [F] : ( v1_xreal_0(F) => ( ~ r1_xxreal_0(E,k9_complex1(F)) => r1_tarski(k1_convex1(A,C,F),B) ) ) & D = a_3_32_rltopsp1(A,C,E) ) => ( m1_connsp_2(k5_setfam_1(u1_struct_0(A),D),A,k4_struct_0(A)) & v3_rltopsp1(k5_setfam_1(u1_struct_0(A),D),A) & r1_tarski(k5_setfam_1(u1_struct_0(A),D),B) ) ) ) ) ) ) ) )).
fof(l97_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_complex1(k3_xcmplx_0(k3_xcmplx_0(A,k7_complex1),B)) = k4_xcmplx_0(k3_xcmplx_0(A,k4_complex1(B))) & k4_complex1(k3_xcmplx_0(k3_xcmplx_0(A,k7_complex1),B)) = k3_xcmplx_0(A,k3_complex1(B)) & k3_complex1(k3_xcmplx_0(A,B)) = k3_xcmplx_0(A,k3_complex1(B)) & k4_complex1(k3_xcmplx_0(A,B)) = k3_xcmplx_0(A,k4_complex1(B)) ) ) ) )).
fof(l97_sincos10,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4))),k1_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(l97_toprealb,axiom,( k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1)) = k1_numbers )).
fof(l97_xboole_1,axiom,( ! [A] : ! [B] : r1_xboole_0(k3_xboole_0(A,B),k5_xboole_0(A,B)) )).
fof(l97_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(k7_xcmplx_0(1,C),k7_xcmplx_0(A,B)) = k7_xcmplx_0(A,k3_xcmplx_0(B,C)) ) ) ) )).
fof(l98_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_bcialg_1(A,C,B) = k1_bcialg_1(A,D,B) => C = D ) ) ) ) ) ) )).
fof(l98_facirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k6_circuit2(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k3_facirc_1)) = k9_margrel1(E,F) & k1_funct_1(k6_circuit2(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k6_circuit2(k15_facirc_1(A,B,C),k18_facirc_1(A,B,C),D),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) = k9_margrel1(G,E) ) ) ) ) ) ) ) ) ) )).
fof(l98_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( k3_finseq_1(B) = A => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) => ! [E] : ( v1_finset_1(E) => ~ ( E = a_3_0_finseq_3(B,C,D) & ~ r2_tarski(k1_funct_1(B,D),C) & k1_funct_1(k1_finseq_3(B,C),k6_xcmplx_0(D,k4_card_1(E))) != k1_funct_1(B,D) ) ) ) ) ) ) ) )).
fof(l98_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k29_fomodel2(B,C) = k1_nat_1(A,1) & ~ v5_fomodel2(C,B) & ! [D] : ( ( v3_fomodel2(D,B,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => k38_fomodel2(B,C) != D ) ) ) ) ) )).
fof(l98_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k48_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k49_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),k4_tarski(k10_finseq_1(k48_gfacirc1(A,B,C),E),k1_facirc_1)) = k2_binarith(k8_margrel1(k2_binarith(k2_binarith(k8_margrel1(G),k8_margrel1(H)),k8_margrel1(I))),K) & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),A) = G & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),B) = H & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),C) = I & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),D) = J & k1_funct_1(k5_facirc_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F,3),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l98_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_geomtrap(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_diraf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_diraf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_diraf(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k2_diraf(A))) & r2_analoaf(k2_diraf(A),B,C,D,E) ) ) ) ) ) )).
fof(l98_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( r1_xxreal_0(k3_finseq_1(B),3) => v4_glib_001(B,A) ) ) ) )).
fof(l98_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k21_interva1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k21_interva1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k21_interva1(A))) => k1_lattices(k21_interva1(A),B,k1_lattices(k21_interva1(A),C,D)) = k1_lattices(k21_interva1(A),k1_lattices(k21_interva1(A),B,C),D) ) ) ) ) )).
fof(l98_jordan,axiom,( k18_euclid(k19_euclid(k5_numbers,3)) = 3 )).
fof(l98_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ( ( ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(A)) & r2_tarski(E,k30_modelc_1(A)) ) => k1_binop_1(B,D,E) = k40_modelc_1(A,D,E) ) & ! [D] : ! [E] : ( ( r2_tarski(D,k30_modelc_1(A)) & r2_tarski(E,k30_modelc_1(A)) ) => k1_binop_1(C,D,E) = k40_modelc_1(A,D,E) ) ) => r8_binop_1(k30_modelc_1(A),k30_modelc_1(A),k30_modelc_1(A),B,C) ) ) ) ) )).
fof(l98_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_o_ring_1(B,A) & v11_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(l98_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ( k13_ordinal6(1,A) = k3_ordinal5(A) => k13_ordinal6(1,k1_ordinal1(A)) = k3_ordinal5(k1_ordinal1(A)) ) ) )).
fof(l98_pepin,axiom,( k4_nat_d(k11_newton(3,32),k4_pepin(4)) = k2_nat_1(123,503) )).
fof(l98_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ~ r1_xxreal_0(A,k5_numbers) => ( k3_complex1(k7_xcmplx_0(B,k3_xcmplx_0(A,k7_complex1))) = k7_xcmplx_0(k4_complex1(B),A) & k4_complex1(k7_xcmplx_0(B,k3_xcmplx_0(A,k7_complex1))) = k4_xcmplx_0(k7_xcmplx_0(k3_complex1(B),A)) & k9_complex1(k7_xcmplx_0(B,A)) = k7_xcmplx_0(k9_complex1(B),A) ) ) ) ) )).
fof(l98_sincos10,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos)),k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k28_sin_cos))) )).
fof(l98_tex_4,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => u1_struct_0(k1_pre_topc(A,B)) = B ) ) )).
fof(l98_toprealb,axiom,( k1_relset_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),k6_toprealb(k1_fcont_1(k4_xcmplx_0(1),1)),k5_toprealb(k2_rcomp_1(k5_numbers,1)))) = k2_rcomp_1(k5_numbers,1) )).
fof(l98_xboole_1,axiom,( ! [A] : ! [B] : k5_xboole_0(A,B) = k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) )).
fof(l99_asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( r1_xxreal_0(3,A) & r1_xxreal_0(k7_newton(A),A) ) ) )).
fof(l99_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( ( B = C => k1_funct_1(k20_fomodel0(A,C,D),k12_finseq_1(A,B)) = k12_finseq_1(A,D) ) & ( B != C => k1_funct_1(k20_fomodel0(A,C,D),k12_finseq_1(A,B)) = k12_finseq_1(A,B) ) ) ) ) ) ) )).
fof(l99_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( v3_fomodel2(C,B,k1_nat_1(A,1)) => ( v15_fomodel1(C,B) | v5_fomodel2(C,B) | ( v3_fomodel2(k37_fomodel2(B,C),B,A) & m2_subset_1(k37_fomodel2(B,C),k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & v3_fomodel2(k38_fomodel2(B,C),B,A) & m2_subset_1(k38_fomodel2(B,C),k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) ) ) ) ) ) )).
fof(l99_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v5_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v3_card_1(C,k1_int_2(k19_fomodel1(A,B))) & m2_subset_1(C,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => ! [D] : ( ( v3_card_1(D,k1_int_2(k19_fomodel1(A,B))) & m2_subset_1(D,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => ( v8_fomodel1(B,A) => v4_fomodel4(k4_lang1(k1_zfmisc_1(k30_fomodel2(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k1_domain_1(k1_zfmisc_1(k30_fomodel2(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k38_fomodel4(A,k1_int_2(k19_fomodel1(A,B)),C,D),k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k31_fomodel2(A)),k1_fomodel3(A,B,C)),k1_fomodel3(A,B,D)))),A,k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))),k29_fomodel4(A)),k1_xboole_0) ) ) ) ) ) )).
fof(l99_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,k4_tarski(k10_finseq_1(k48_gfacirc1(A,B,C),E),k6_twoscomp)) & H = k1_funct_1(F,k4_tarski(k10_finseq_1(E,D),k6_twoscomp)) & I = k1_funct_1(F,k4_tarski(k10_finseq_1(D,k48_gfacirc1(A,B,C)),k6_twoscomp)) ) => k1_funct_1(k6_circuit2(k19_ftacell1(A,B,C,D,E),k20_ftacell1(A,B,C,D,E),F),k45_gfacirc1(k48_gfacirc1(A,B,C),E,D)) = k8_margrel1(k1_binarith(k1_binarith(G,H),I)) ) ) ) ) ) ) ) ) ) )).
fof(l99_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_geomtrap(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_diraf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_diraf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_diraf(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_diraf(A))) => ( r2_analoaf(k2_diraf(A),B,C,D,E) => r2_analoaf(k2_diraf(A),D,E,B,C) ) ) ) ) ) ) )).
fof(l99_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,B,D,C) => v5_glib_001(k2_glib_001(A,B,D,C),A) ) ) )).
fof(l99_interva1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k18_interva1(A)) => ! [C] : ( m1_subset_1(C,k18_interva1(A)) => k1_binop_1(u2_lattices(k21_interva1(A)),k1_binop_1(u1_lattices(k21_interva1(A)),B,C),C) = C ) ) ) )).
fof(l99_jordan,axiom,( k17_euclid(k19_euclid(k5_numbers,k4_xcmplx_0(3))) = k5_numbers )).
fof(l99_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_3(D,C) & v3_modelc_3(D,C) & l1_modelc_3(D,C) ) => ! [E] : ( ( v1_modelc_3(E,C) & v3_modelc_3(E,C) & l1_modelc_3(E,C) ) => ! [F] : ( ( v1_modelc_3(F,C) & v3_modelc_3(F,C) & l1_modelc_3(F,C) ) => ~ ( r6_modelc_3(C,D,E) & r6_modelc_3(C,E,F) & r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,E)) & ~ r2_tarski(B,u1_modelc_3(C,E)) & ~ ( r2_tarski(A,u1_modelc_3(C,E)) & r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,F)) ) ) ) ) ) ) ) ) )).
fof(l99_ordinal6,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_xboole_0(A) ) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => k13_ordinal6(1,B) = k3_ordinal5(B) ) ) => k13_ordinal6(1,A) = k3_ordinal5(A) ) ) )).
fof(l99_pepin,axiom,( k4_nat_d(k11_newton(3,64),k4_pepin(4)) = k1_nat_1(k2_nat_1(14,1367),1) )).
fof(l99_pre_poly,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ( k4_finseq_1(B) != k1_xboole_0 => r2_tarski(1,k4_finseq_1(B)) ) ) )).
fof(l99_sincos10,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)))),k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))))) )).
fof(l99_toprealb,axiom,( r1_tarski(k2_relset_1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),k2_partfun1(u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k1_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),u1_struct_0(k1_pre_topc(k2_topalg_2,k5_toprealb(k2_relset_1(k1_numbers,k1_fcont_1(k4_xcmplx_0(1),1))))),k6_toprealb(k1_fcont_1(k4_xcmplx_0(1),1)),k5_toprealb(k2_rcomp_1(k5_numbers,1)))),k2_rcomp_1(k5_numbers,1)) )).
fof(l9_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r5_aff_1(A,E,F) & r2_tarski(B,E) & r2_tarski(D,E) & r2_tarski(C,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,F) & r2_analoaf(A,B,C,D,G) ) ) ) ) ) ) ) ) ) )).
fof(l9_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( ~ r1_xxreal_0(k1_afinsq_1(B),A) <=> r2_tarski(A,k2_afinsq_1(B)) ) ) ) )).
fof(l9_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( B != D & r2_diraf(A,B,C,C,D) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( E != F & r2_diraf(A,B,C,E,F) & r2_diraf(A,B,E,E,C) & r2_diraf(A,B,F,F,C) ) ) ) ) ) ) ) ) ) )).
fof(l9_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_algstr_0)) => ? [C] : ( m1_subset_1(C,u1_struct_0(k3_algstr_0)) & k1_algstr_0(k3_algstr_0,C,A) = B ) ) ) )).
fof(l9_algstr_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_algstr_3)) => k1_algstr_3(k3_algstr_3,A,k5_struct_0(k3_algstr_3),k4_struct_0(k3_algstr_3)) = A ) )).
fof(l9_altcat_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(k1_tarski(k1_xboole_0)))) => ! [C] : ( m1_subset_1(C,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(k7_altcat_1(k1_tarski(k1_xboole_0)),A,B)) => C = D ) ) ) ) )).
fof(l9_ami_2,axiom,( r2_tarski(k4_ordinal1,k1_ami_2) )).
fof(l9_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k4_amistd_1(A))) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(C,u1_struct_0(k4_amistd_1(A))) ) => ( k5_compos_0(u1_compos_1(k4_amistd_1(A)),B) = 1 => k5_memstr_0(A,k4_amistd_1(A),k2_extpro_1(A,k4_amistd_1(A),B,C)) = k1_nat_1(k5_memstr_0(A,k4_amistd_1(A),C),1) ) ) ) ) )).
fof(l9_analoaf,axiom,( v1_xreal_0(1) )).
fof(l9_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),k1_rlvect_1(A,D,G)) = k4_struct_0(A) => ( E = k5_numbers | B = k3_rlvect_1(A,k1_rlvect_1(A,C,k4_xcmplx_0(k3_xcmplx_0(k5_xcmplx_0(E),F))),k1_rlvect_1(A,D,k4_xcmplx_0(k3_xcmplx_0(k5_xcmplx_0(E),G)))) ) ) ) ) ) ) ) ) ) )).
fof(l9_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => k1_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,C,F),k1_rlvect_1(A,D,G)),k1_rlvect_1(A,B,H)),E) = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,C,k3_xcmplx_0(E,F)),k1_rlvect_1(A,D,k3_xcmplx_0(E,G))),k1_rlvect_1(A,B,k3_xcmplx_0(E,H))) ) ) ) ) ) ) ) ) )).
fof(l9_arytm_2,axiom,( r1_tarski(k7_subset_1(k1_zfmisc_1(k5_arytm_3),k1_arytm_2,a_0_1_arytm_2),k2_arytm_2) )).
fof(l9_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_bcialg_4(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_4(A,B,C),B),C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_bcialg_1(A,k1_bcialg_1(A,D,B),C) => r1_bcialg_1(A,D,k1_bcialg_4(A,B,C)) ) ) ) ) ) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) ) ) )).
fof(l9_bhsp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1))) => ! [B] : ( m1_subset_1(B,u1_struct_0(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1))) => ! [C] : ( m1_subset_1(C,u1_struct_0(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1))) => ! [D] : ( v1_xreal_0(D) => ( ( k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,A) = k10_subset_1(k5_numbers,k1_numbers) => A = k4_struct_0(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1)) ) & ( A = k4_struct_0(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1)) => k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,A) = k10_subset_1(k5_numbers,k1_numbers) ) & r1_xxreal_0(k5_numbers,k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,A)) & k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,B) = k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),B,A) & k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),k1_algstr_0(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,B),C) = k2_xcmplx_0(k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,C),k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),B,C)) & k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),k1_rlvect_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,D),B) = k3_xcmplx_0(D,k1_bhsp_1(g1_bhsp_1(u1_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),k4_struct_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_algstr_0(k1_rlsub_1(o_0_5_bhsp_1)),u1_rlvect_1(k1_rlsub_1(o_0_5_bhsp_1)),c2__bhsp_1),A,B)) ) ) ) ) ) )).
fof(l9_borsuk_2,axiom,( r2_tarski(k5_numbers,k1_rcomp_1(k5_numbers,1)) & r2_tarski(1,k1_rcomp_1(k5_numbers,1)) )).
fof(l9_cfdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(2)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(2)) => ( ( E = k10_finseq_1(A,B) & F = k10_finseq_1(C,D) ) => ( k7_euclid(2,E,F) = k10_finseq_1(k2_xcmplx_0(A,C),k2_xcmplx_0(B,D)) & k8_euclid(2,E,F) = k10_finseq_1(k6_xcmplx_0(A,C),k6_xcmplx_0(B,D)) ) ) ) ) ) ) ) ) )).
fof(l9_collsp,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(c4__collsp)) => ! [B] : ( m1_subset_1(B,u1_struct_0(c4__collsp)) => ! [C] : ( m1_subset_1(C,u1_struct_0(c4__collsp)) => ! [D] : ( m1_subset_1(D,u1_struct_0(c4__collsp)) => ! [E] : ( m1_subset_1(E,u1_struct_0(c4__collsp)) => ! [F] : ( m1_subset_1(F,u1_struct_0(c4__collsp)) => ( ( ~ ( A != B & A != C & B != C ) => r2_tarski(k4_domain_1(u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),A,B,C),u1_collsp(c4__collsp)) ) & ( ( r2_tarski(k4_domain_1(u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),A,B,D),u1_collsp(c4__collsp)) & r2_tarski(k4_domain_1(u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),A,B,E),u1_collsp(c4__collsp)) & r2_tarski(k4_domain_1(u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),A,B,F),u1_collsp(c4__collsp)) ) => ( A = B | r2_tarski(k4_domain_1(u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),u1_struct_0(c4__collsp),D,E,F),u1_collsp(c4__collsp)) ) ) ) ) ) ) ) ) ) )).
fof(l9_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( r2_tarski(C,k4_finseq_1(k2_compos_0(B))) => r1_tarski(k1_funct_1(k10_card_3(k6_compos_0(A,k5_compos_0(A,B))),C),k4_ordinal1) ) ) ) )).
fof(l9_comptrig,axiom,( ~ r1_xxreal_0(k2_xcmplx_0(k28_sin_cos,k7_xcmplx_0(k28_sin_cos,2)),k2_xcmplx_0(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))) )).
fof(l9_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_convex1(A,B,1) = B ) ) )).
fof(l9_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_rlvect_2(D,A,C) => ( ( v2_convex1(D,A) & r1_tarski(C,B) ) => r2_tarski(k6_rlvect_2(A,D),B) ) ) ) => v1_convex1(B,A) ) ) ) )).
fof(l9_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v2_convex1(C,A) & m2_rlvect_2(C,A,B) ) => ~ ( r1_xxreal_0(2,k4_card_1(k3_rlvect_2(A,C))) & ! [D] : ( ( v2_convex1(D,A) & m2_rlvect_2(D,A,B) ) => ! [E] : ( ( v2_convex1(E,A) & m2_rlvect_2(E,A,B) ) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(1,F) & r1_rlvect_2(A,C,k7_rlvect_2(A,k8_rlvect_2(A,F,D),k8_rlvect_2(A,k6_xcmplx_0(1,F),E))) & k4_card_1(k3_rlvect_2(A,D)) = 1 & k4_card_1(k3_rlvect_2(A,E)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,C)),1) ) ) ) ) ) ) ) ) )).
fof(l9_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k3_convfun1(A,k4_convfun1))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k3_convfun1(A,k4_convfun1))) => ( ( F = k4_tarski(B,D) & G = k4_tarski(C,E) ) => k1_algstr_0(k3_convfun1(A,k4_convfun1),F,G) = k4_tarski(k1_algstr_0(A,B,C),k2_xcmplx_0(D,E)) ) ) ) ) ) ) ) ) )).
fof(l9_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) & v2_cqc_the1(k8_cqc_lang(A,D,E),A) ) => v2_cqc_the1(k8_cqc_lang(A,k7_cqc_lang(A,B,D),k7_cqc_lang(A,C,E)),A) ) ) ) ) ) ) )).
fof(l9_csspace2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) <=> ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)),k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)))) ) ) )).
fof(l9_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(A,B,C)) => D = k4_domain_1(A,B,C,k1_mcart_1(A,B,C,D),k2_mcart_1(A,B,C,D),k3_mcart_1(A,B,C,D)) ) ) ) ) )).
fof(l9_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => k4_euclid_3(A,B,C) != k6_xcmplx_0(k3_xcmplx_0(2,k4_euclid_3(D,E,F)),k3_xcmplx_0(6,k28_sin_cos)) ) ) ) ) ) ) )).
fof(l9_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => k7_euclid(3,A,k6_euclid(3,B)) = k1_euclid_8(k6_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,1)),k6_xcmplx_0(k1_funct_1(A,2),k1_funct_1(B,2)),k6_xcmplx_0(k1_funct_1(A,3),k1_funct_1(B,3))) ) ) )).
fof(l9_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ~ ( B != C & k12_euclid(k8_euclid(A,B,C)) = k5_numbers ) ) ) ) )).
fof(l9_fib_fusc,axiom,( k10_ami_3(k5_numbers) != k10_ami_3(3) )).
fof(l9_fib_num,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(B,A) => r1_xxreal_0(k1_pre_ff(B),k1_pre_ff(A)) ) ) ) )).
fof(l9_fib_num4,axiom,( k7_xcmplx_0(k1_fib_num,k2_fib_num) = k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(3),k3_square_1(5)),2) )).
fof(l9_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r1_xxreal_0(1,k3_finseq_1(C)) => k1_finsop_1(A,k8_finseq_1(A,C,k12_finseq_1(A,B)),D) = k4_binop_1(A,D,k1_finsop_1(A,C,D),B) ) ) ) ) ) )).
fof(l9_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ( ( r1_tarski(A,B) & v1_fomodel0(D,B) ) => v1_fomodel0(D,A) ) ) ) )).
fof(l9_fomodel3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v8_ordinal1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) => k8_fomodel3(B,C,D,A) = k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)) ) ) ) ) )).
fof(l9_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_frechet(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( v1_tops_2(C,A) & v1_yellow_8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & k10_xtuple_0(D) = C & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(E,F) => r1_tarski(k1_funct_1(D,F),k1_funct_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(l9_fsm_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k1_funct_1(A,k3_finseq_1(A)) = k1_funct_1(B,1) => ( A = k1_xboole_0 | B = k1_xboole_0 | k7_finseq_1(k2_finseq_3(k3_finseq_1(A),A),B) = k7_finseq_1(A,k2_finseq_3(1,B)) ) ) ) ) )).
fof(l9_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( r2_tarski(B,k1_glib_002(A,C)) => k1_glib_002(A,B) = k1_glib_002(A,C) ) ) ) ) )).
fof(l9_goboard6,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))) => ( B = C => k1_tops_1(A,B) = k1_tops_1(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),C) ) ) ) ) )).
fof(l9_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( B = k4_finseq_5(u1_struct_0(k15_euclid(2)),A) => k2_goboard2(B) = k2_goboard2(A) ) ) ) )).
fof(l9_group_12,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))) & v1_group_6(D,k1_group_7(A,B,C),k2_group_12(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))))) & v3_funct_2(D,u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k1_group_7(A,B,C))) => k3_funct_2(u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C)),D,E) = k1_funct_7(k1_group_1(k2_group_7(A,B)),C,E) ) ) ) ) ) )).
fof(l9_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( m2_finseq_1(k3_relat_1(k19_finseq_1(B),C),u1_struct_0(A)) & k1_relset_1(k4_ordinal1,k3_relat_1(k19_finseq_1(B),C)) = k2_finseq_1(k4_card_1(B)) ) ) ) ) )).
fof(l9_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) ) => v1_finset_1(k1_heyting2(A,B,C)) ) ) )).
fof(l9_holder_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => k8_nat_1(k1_numbers,A,C) = k5_numbers ) ) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k5_numbers ) ) ) )).
fof(l9_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( E = D => ( D = B | ( ~ ( ~ r1_aff_1(A,D,B,E) & r1_aff_1(A,D,E,F) & r2_analoaf(A,B,E,C,F) ) & ~ ( r1_aff_1(A,D,B,E) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,D,B,G) & r1_aff_1(A,D,G,H) & r2_analoaf(A,B,G,C,H) & r2_analoaf(A,G,E,H,F) & r1_aff_1(A,D,B,F) ) ) ) ) | F = D ) ) ) ) ) ) ) ) )).
fof(l9_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(A,B) & r1_int_1(A,C) ) => r1_int_1(A,k5_int_1(B,C)) ) ) ) ) )).
fof(l9_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(A,B) & r1_int_1(A,C) ) => r1_int_1(A,k6_xcmplx_0(B,C)) ) ) ) ) )).
fof(l9_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => m2_finseq_1(A,k1_numbers) ) )).
fof(l9_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_1_jordan1(A),k1_zfmisc_1(k1_euclid(2))) ) )).
fof(l9_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(2))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k2_xcmplx_0(B,1),k3_finseq_1(k1_jordan8(A,D))) & r1_xxreal_0(1,C) & r1_xxreal_0(k2_xcmplx_0(C,1),k1_matrix_0(k1_jordan8(A,D))) & E = G & r2_tarski(E,k3_goboard5(k1_jordan8(A,D),B,C)) ) => ( r1_xxreal_0(F,k5_numbers) | r1_xxreal_0(k7_xcmplx_0(F,4),k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,2))) | r1_xxreal_0(k7_xcmplx_0(F,4),k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),2,1))) | r1_tarski(k3_goboard5(k1_jordan8(A,D),B,C),k8_metric_1(k14_euclid(2),G,F)) ) ) ) ) ) ) ) ) ) )).
fof(l9_jordan1d,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(2,A) => r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_xcmplx_0(2,A),2)) ) ) )).
fof(l9_jordan1h,axiom,( r6_relat_2(k1_jordan1h,k1_numbers) )).
fof(l9_jordan_a,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => g1_pre_topc(u1_struct_0(k2_borsuk_1(A,B)),u1_pre_topc(k2_borsuk_1(A,B))) = k2_borsuk_1(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) ) ) )).
fof(l9_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) ) => ~ r1_xxreal_0(k1_nat_1(A,1),3) ) )).
fof(l9_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),C),D),k8_cqc_lang(A,B,D)),k4_cqc_the1(A)) ) ) ) ) )).
fof(l9_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_mathmorp(A,C,k6_domain_1(u1_struct_0(A),B)) = k1_mathmorp(A,B,k6_domain_1(u1_struct_0(A),C)) ) ) ) )).
fof(l9_matrix10,axiom,( r2_hidden(k4_xcmplx_0(1),k1_numbers) )).
fof(l9_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => k4_finseq_1(k3_fvsum_1(B,C,D)) = k9_subset_1(k4_ordinal1,k4_finseq_1(C),k4_finseq_1(D)) ) ) ) ) )).
fof(l9_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v1_mfold_0(A) & ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_mfold_0(B) & l1_pre_topc(B) ) => ( B = A => v3_mfold_0(B) ) ) ) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_connsp_2(C,A,B) & ? [D] : ( v7_ordinal1(D) & r2_borsuk_3(k1_pre_topc(A,C),k1_mfold_1(D,k4_struct_0(k15_euclid(D)),1)) ) ) ) ) ) )).
fof(l9_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r2_modelc_2(A,B) => m1_subset_1(k1_tarski(A),k1_zfmisc_1(k13_modelc_2(B))) ) ) ) )).
fof(l9_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & v2_dtconstr(A) & l1_lang1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( m2_subset_1(B,u1_struct_0(A),k6_dtconstr(A)) | m2_subset_1(B,u1_struct_0(A),k7_dtconstr(A)) ) & ~ ( m2_subset_1(B,u1_struct_0(A),k6_dtconstr(A)) & m2_subset_1(B,u1_struct_0(A),k7_dtconstr(A)) ) ) ) ) )).
fof(l9_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) => k3_int_2(A,B) = A ) ) ) )).
fof(l9_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k4_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k4_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k4_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & k8_nat_1(k4_numbers,G,k5_numbers) = 1 & k8_nat_1(k4_numbers,H,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,C,k5_numbers) = A & k8_nat_1(k4_numbers,E,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,J,k5_numbers) = k5_numbers & k8_nat_1(k4_numbers,I,k5_numbers) = 1 & k8_nat_1(k4_numbers,D,k5_numbers) = B & k8_nat_1(k4_numbers,F,k5_numbers) = k5_numbers & ! [K] : ( v7_ordinal1(K) => ( k8_nat_1(k4_numbers,E,k1_nat_1(K,1)) = k4_int_1(k8_nat_1(k4_numbers,C,K),k8_nat_1(k4_numbers,D,K)) & k8_nat_1(k4_numbers,F,k1_nat_1(K,1)) = k5_int_1(k8_nat_1(k4_numbers,C,K),k8_nat_1(k4_numbers,D,K)) & k8_nat_1(k4_numbers,G,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,J,K) & k8_nat_1(k4_numbers,H,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,I,K) & k8_nat_1(k4_numbers,C,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,D,K) & k8_nat_1(k4_numbers,J,k1_nat_1(K,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,G,K),k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(K,1)),k8_nat_1(k4_numbers,J,K))) & k8_nat_1(k4_numbers,I,k1_nat_1(K,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,H,K),k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(K,1)),k8_nat_1(k4_numbers,I,K))) & k8_nat_1(k4_numbers,D,k1_nat_1(K,1)) = k8_nat_1(k4_numbers,F,k1_nat_1(K,1)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(l9_numbers,axiom,( r1_tarski(k4_ordinal1,k4_numbers) )).
fof(l9_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k1_relat_1(B) = A ) )).
fof(l9_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ~ ( r1_ordinal2(B,A) & k9_xtuple_0(A) = k1_xboole_0 ) ) ) )).
fof(l9_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k8_group_1(A,k5_algstr_0(A,B,C),k5_algstr_0(A,D,E)) = k3_rlvect_1(A,k8_group_1(A,B,D),k3_rlvect_1(A,k4_algstr_0(A,k8_group_1(A,B,E)),k4_algstr_0(A,k8_group_1(A,C,k5_algstr_0(A,D,E))))) ) ) ) ) ) )).
fof(l9_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_algstr_0(A,k5_algstr_0(A,B,C),k5_algstr_0(A,D,C)) = k5_algstr_0(A,B,D) ) ) ) ) )).
fof(l9_pcomps_2,axiom,( v1_xreal_0(k7_xcmplx_0(1,2)) )).
fof(l9_pdiff_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(1)) => ( k9_finseq_1(A) = B => k9_complex1(A) = k12_euclid(B) ) ) ) )).
fof(l9_petri_2,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,A))) ) => ~ ( C != D & a_4_2_petri_2(A,B,C,E) = a_4_2_petri_2(A,B,D,F) ) ) ) ) ) ) )).
fof(l9_poset_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v1_orders_2(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_poset_1(C) & l1_orders_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(C),u1_struct_0(C)) & v5_orders_3(H,C,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( ( r1_xxreal_0(A,B) & F = k3_funct_2(u1_struct_0(C),u1_struct_0(C),H,D) & r3_orders_2(C,D,F) & E = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_abian(u1_struct_0(C),H,A),D) & G = k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_abian(u1_struct_0(C),H,B),D) ) => r3_orders_2(C,E,G) ) ) ) ) ) ) ) ) ) )).
fof(l9_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_projdes1(A,B,C,D,E) => r1_projdes1(A,C,B,D,E) ) ) ) ) ) ) )).
fof(l9_qmax_1,axiom,( ! [A] : ( m1_prob_1(A,k1_numbers,k12_prob_1) => ! [B] : ( m1_prob_1(B,k1_numbers,k12_prob_1) => ( r1_xboole_0(A,B) => k3_funct_2(k12_prob_1,k1_numbers,c2__qmax_1,k6_prob_1(k1_numbers,k12_prob_1,A,B)) = k2_xcmplx_0(k3_funct_2(k12_prob_1,k1_numbers,c2__qmax_1,A),k3_funct_2(k12_prob_1,k1_numbers,c2__qmax_1,B)) ) ) ) )).
fof(l9_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r2_mesfunc6(A,B,D) & r2_tarski(k1_relset_1(A,D),B) ) => ( k1_relset_1(A,D) = k1_xboole_0 | r1_xxreal_0(k1_xxreal_0,k12_supinf_2(C,k1_relset_1(A,D))) | r3_mesfunc6(A,B,C,D) ) ) ) ) ) ) )).
fof(l9_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ v3_xxreal_2(k10_prob_1(A)) ) )).
fof(l9_realset2,axiom,( k9_xtuple_0(k13_funcop_1(1,1,k5_numbers)) = k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,1)) )).
fof(l9_rfinseq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ( r1_xxreal_0(k3_finseq_1(C),A) => k17_finseq_1(B,A,C) = C ) ) ) ) )).
fof(l9_rfunct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ~ r2_tarski(B,k10_xtuple_0(A)) => k8_relat_1(A,k1_tarski(B)) = k1_xboole_0 ) ) )).
fof(l9_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( v1_partfun1(C,u1_struct_0(A)) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,u1_struct_0(A)) & r2_hidden(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & F = D & G = E & r2_tarski(k5_algstr_0(A,F,G),B) ) ) ) ) ) ) ) )).
fof(l9_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),B) != k1_xboole_0 ) ) )).
fof(l9_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k4_card_1(k10_compos_1(k1_scmpds_2,k1_scmpds_8(A,B,C))) = k1_nat_1(k4_card_1(C),3) ) ) ) )).
fof(l9_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( k6_xcmplx_0(1,k7_xcmplx_0(1,k1_nat_1(A,2))) = k7_xcmplx_0(k1_nat_1(A,1),k1_nat_1(A,2)) & k7_xcmplx_0(1,k7_newton(k1_nat_1(A,1))) = k7_xcmplx_0(k1_nat_1(A,2),k2_nat_1(k7_newton(k1_nat_1(A,1)),k1_nat_1(A,2))) ) ) )).
fof(l9_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k1_square_1(A)),k3_square_1(k3_xcmplx_0(B,C))),2),k1_square_1(B)),k3_square_1(k3_xcmplx_0(A,C))),2),k1_square_1(C)),k3_square_1(k3_xcmplx_0(A,B))) = k1_newton(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,A),B),C),3) ) ) ) )).
fof(l9_sin_cos6,axiom,( k1_rcomp_1(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers),k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))) = k1_rcomp_1(k5_numbers,k28_sin_cos) )).
fof(l9_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( k2_sin_cos2(k4_xcmplx_0(A)) = k4_xcmplx_0(k2_sin_cos2(A)) & k4_sin_cos2(k4_xcmplx_0(A)) = k4_sin_cos2(A) & k6_sin_cos2(k4_xcmplx_0(A)) = k4_xcmplx_0(k6_sin_cos2(A)) & k1_sin_cos5(k4_xcmplx_0(A)) = k4_xcmplx_0(k1_sin_cos5(A)) & k2_sin_cos5(k4_xcmplx_0(A)) = k2_sin_cos5(A) & k3_sin_cos5(k4_xcmplx_0(A)) = k4_xcmplx_0(k3_sin_cos5(A)) ) ) )).
fof(l9_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r2_hidden(k4_tarski(B,C),k2_zfmisc_1(A,k9_setfam_1(A))) & r2_hidden(D,A) & k4_tarski(B,C) = k4_tarski(D,k1_tarski(D)) ) => ( B = D & C = k1_tarski(D) ) ) )).
fof(l9_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_borsuk_2(E,B,C,D) => ! [F] : ( m1_borsuk_2(F,B,C,D) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ( k1_binop_1(k1_topalg_2(A,B,E,F),G,k5_numbers) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),E,G) & k1_binop_1(k1_topalg_2(A,B,E,F),G,1) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),F,G) & ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ( k1_binop_1(k1_topalg_2(A,B,E,F),k5_numbers,H) = C & k1_binop_1(k1_topalg_2(A,B,E,F),1,H) = D ) ) ) ) ) ) ) ) ) ) )).
fof(l9_topalg_5,axiom,( r1_xxreal_0(k6_xcmplx_0(1,k5_numbers),1) )).
fof(l9_topgen_6,axiom,( c1__topgen_6 = a_0_1_topgen_6 )).
fof(l9_topreal2,axiom,( k18_euclid(k19_euclid(1,k5_numbers)) = k5_numbers )).
fof(l9_toprealb,axiom,( ~ r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)) )).
fof(l9_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => k1_funct_1(k6_twoscomp,k10_finseq_1(A,B)) = k9_margrel1(k8_margrel1(A),k8_margrel1(B)) ) ) )).
fof(l9_uniform1,axiom,( k4_topmetr(k5_numbers,1) = k3_pcomps_1(k2_topmetr(k5_numbers,1)) )).
fof(l9_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_vectsp_4(F,A,C) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ( r1_funct_2(u1_struct_0(E),u1_struct_0(F),u1_struct_0(E),u1_struct_0(C),G,k8_matrlin2(A,B,C,E,D)) => ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & v13_vectsp_1(G,E,F) & v1_mod_2(G,A,E,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) ) ) ) ) ) ) ) ) )).
fof(l9_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_vectsp_6(A,B,k6_vectsp_6(A,B,D,C)) = k3_vectsp_1(A,B,D,k4_vectsp_6(A,B,C)) ) ) ) ) )).
fof(l9_waybel17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(C,A,B) => v5_pre_topc(C,A,B) ) ) ) ) )).
fof(l9_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => v8_relat_2(B) ) ) )).
fof(l9_xreal_0,axiom,( ~ r2_tarski(k5_numbers,k2_zfmisc_1(k1_tarski(k5_numbers),k2_arytm_2)) )).
fof(l9_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k2_xcmplx_0(B,A),B) ) ) ) )).
fof(l9_xxreal_0,axiom,( ~ r2_hidden(k1_xxreal_0,k2_arytm_2) )).
fof(l9_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => k1_xxreal_2(k1_tarski(A)) = A ) )).
fof(l9_yellow_6,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & r1_orders_2(A,C,D) ) => r1_orders_2(B,E,F) ) ) ) ) ) ) ) )).
fof(projectivity_k10_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => k10_euclid(A,k10_euclid(A,B)) = k10_euclid(A,B) ) )).
fof(projectivity_k11_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k11_seq_4(k11_seq_4(A)) = k11_seq_4(A) ) )).
fof(projectivity_k19_seq_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) ) => k19_seq_4(A,k19_seq_4(A,B)) = k19_seq_4(A,B) ) )).
fof(projectivity_k1_abcmiz_1,axiom,( ! [A] : k1_abcmiz_1(k1_abcmiz_1(A)) = k1_abcmiz_1(A) )).
fof(projectivity_k1_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => k1_absvalue(k1_absvalue(A)) = k1_absvalue(A) ) )).
fof(projectivity_k1_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => k1_afinsq_1(k1_afinsq_1(A)) = k1_afinsq_1(A) ) )).
fof(projectivity_k1_card_1,axiom,( ! [A] : k1_card_1(k1_card_1(A)) = k1_card_1(A) )).
fof(projectivity_k1_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => k1_int_1(k1_int_1(A)) = k1_int_1(A) ) )).
fof(projectivity_k1_int_2,axiom,( ! [A] : ( v1_int_1(A) => k1_int_2(k1_int_2(A)) = k1_int_2(A) ) )).
fof(projectivity_k1_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => k1_scmfsa6a(k1_scmfsa6a(A)) = k1_scmfsa6a(A) ) )).
fof(projectivity_k1_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) => k1_scmfsa_m(k1_scmfsa_m(A)) = k1_scmfsa_m(A) ) )).
fof(projectivity_k1_tdlat_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => k1_tdlat_2(A,k1_tdlat_2(A,B)) = k1_tdlat_2(A,B) ) )).
fof(projectivity_k1_tops_1,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_tops_1(A,k1_tops_1(A,B)) = k1_tops_1(A,B) ) )).
fof(projectivity_k2_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => k2_int_1(k2_int_1(A)) = k2_int_1(A) ) )).
fof(projectivity_k2_int_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => k2_int_3(k2_int_3(A)) = k2_int_3(A) ) )).
fof(projectivity_k2_pre_topc,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k2_pre_topc(A,k2_pre_topc(A,B)) = k2_pre_topc(A,B) ) )).
fof(projectivity_k3_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k3_euclid(k3_euclid(A)) = k3_euclid(A) ) )).
fof(projectivity_k3_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => k3_extreal1(k3_extreal1(A)) = k3_extreal1(A) ) )).
fof(projectivity_k3_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k3_finseq_1(k3_finseq_1(A)) = k3_finseq_1(A) ) )).
fof(projectivity_k4_card_1,axiom,( ! [A] : ( v1_finset_1(A) => k4_card_1(k4_card_1(A)) = k4_card_1(A) ) )).
fof(projectivity_k54_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k54_valued_1(k54_valued_1(A)) = k54_valued_1(A) ) )).
fof(projectivity_k55_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k55_valued_1(A,B,k55_valued_1(A,B,C)) = k55_valued_1(A,B,C) ) )).
fof(projectivity_k56_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k56_valued_1(A,B,k56_valued_1(A,B,C)) = k56_valued_1(A,B,C) ) )).
fof(projectivity_k5_measure6,axiom,( ! [A] : ( v3_membered(A) => k5_measure6(k5_measure6(A)) = k5_measure6(A) ) )).
fof(projectivity_k5_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => k5_rfinseq2(k5_rfinseq2(A)) = k5_rfinseq2(A) ) )).
fof(projectivity_k5_seqfunc,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => k5_seqfunc(A,k5_seqfunc(A,B)) = k5_seqfunc(A,B) ) )).
fof(projectivity_k6_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => k6_memstr_0(A,B,k6_memstr_0(A,B,C)) = k6_memstr_0(A,B,C) ) )).
fof(projectivity_k6_rfinseq2,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => k6_rfinseq2(k6_rfinseq2(A)) = k6_rfinseq2(A) ) )).
fof(projectivity_k7_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k7_group_2(k7_group_2(A)) = k7_group_2(A) ) )).
fof(projectivity_k7_random_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) ) => k7_random_1(A,B,k7_random_1(A,B,C)) = k7_random_1(A,B,C) ) )).
fof(projectivity_k8_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => k8_memstr_0(A,B,k8_memstr_0(A,B,C)) = k8_memstr_0(A,B,C) ) )).
fof(projectivity_k9_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k9_complex1(k9_complex1(A)) = k9_complex1(A) ) )).
fof(rc10_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k12_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v9_abcmiz_1(B,A) ) ) )).
fof(rc10_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_subset_1(B,u4_struct_0(A)) & v2_abcmiz_1(B,A) & v4_abcmiz_a(B,A) ) ) )).
fof(rc10_abian,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_abian(A) ) )).
fof(rc10_algstr_0,axiom,( ? [A] : ( l4_algstr_0(A) & v22_algstr_0(A) ) )).
fof(rc10_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ? [B] : ( m1_altcat_2(B,A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) ) ) )).
fof(rc10_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) ) => ? [B] : ( l3_msualg_1(B,A) & v4_msualg_1(B,A) & v6_aofa_a01(B,A) ) ) )).
fof(rc10_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v10_cohsp_1(B) ) ) )).
fof(rc10_comput_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k3_finseq_2(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v4_card_3(B) & v1_finseq_1(B) & v2_finseq_1(B) & v3_comput_1(B) ) )).
fof(rc10_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ? [B] : ( l2_conlat_1(B,A) & v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) ) ) )).
fof(rc10_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v3_memstr_0(B,A) ) ) )).
fof(rc10_finseq_1,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v2_funct_1(B) & v2_funct_2(B,A) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc10_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,A) ) ) )).
fof(rc10_fomodel1,axiom,( ? [A] : ( l1_fomodel1(A) & ~ v2_struct_0(A) & v1_fomodel1(A) ) )).
fof(rc10_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k15_fomodel2(A,B)) & v1_relat_1(C) & v4_relat_1(C,k37_fomodel1(A)) & v1_funct_1(C) & v1_funcop_1(C) & v2_funcop_1(C) & v1_fomodel2(C,A,B) ) ) )).
fof(rc10_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k30_fomodel2(A))) & ~ v10_ordinal1(C) & v4_funct_1(C) & v5_finset_1(C) & v3_finseq_1(C) & v1_setfam_1(C) & v11_fomodel4(C,A,B) ) ) )).
fof(rc10_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ? [C] : ( m2_functor0(C,A,B) & v8_functor0(C,A,B) & v9_functor0(C,A,B) & v15_functor0(C,A,B) & v16_functor0(C,A,B) ) ) )).
fof(rc10_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ? [C] : ( m1_finseq_1(C,k6_group_9(A,B)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k6_group_9(A,B)) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v8_group_9(C,A,B) ) ) )).
fof(rc10_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_ideal_1(C,A,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) ) ) )).
fof(rc10_lattices,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A) ) )).
fof(rc10_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : ( m3_monoid_0(B,A) & v22_algstr_0(B) ) ) )).
fof(rc10_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l3_msualg_1(C,A) & v3_msualg_1(C,A) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) ) ) )).
fof(rc10_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v5_msafree5(D) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),D,B)) & v1_msafree5(F,E) & m1_subset_1(F,k1_msafree4(u1_struct_0(A),D,C)) ) => ? [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) & ~ v1_xboole_0(G) & v1_relat_1(G) & ~ v1_xtuple_0(G) & v1_funct_1(G) & v1_finset_1(G) & v3_trees_2(G) & v4_card_3(G) & v8_msafree5(G,A,D,k1_msafree3(A,D),C,F) & v9_msafree5(G,A,D,k1_msafree3(A,D),B,E) ) ) )).
fof(rc10_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_necklace(A) & v3_qmax_1(A) ) )).
fof(rc10_ordinal1,axiom,( ? [A] : v8_ordinal1(A) )).
fof(rc10_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v11_osalg_1(B,A) ) ) )).
fof(rc10_pcs_0,axiom,( ? [A] : ( l2_pcs_0(A) & v12_pcs_0(A) ) )).
fof(rc10_pre_poly,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_card_3(A) & v4_card_3(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc10_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) ) ) )).
fof(rc10_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & ~ v2_struct_0(A) & v3_prefer_1(A) ) )).
fof(rc10_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v10_rltopsp1(B,A) ) ) )).
fof(rc10_robbins1,axiom,( ? [A] : ( l4_robbins1(A) & ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v17_lattices(A) & v4_robbins1(A) & v8_robbins1(A) ) )).
fof(rc10_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v10_ordinal1(B) & v5_finset_1(B) & v2_finsub_1(B) & ~ v1_setfam_1(B) & v1_classes1(B) & v3_scmyciel(B,1) & v4_scmyciel(B) & v5_scmyciel(B) ) ) )).
fof(rc10_simplex0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & m1_simplex0(B,A) ) => ? [C] : ( m2_simplex0(C,A,B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) ) ) )).
fof(rc10_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v4_tdlat_3(B) ) ) )).
fof(rc10_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v7_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) ) ) )).
fof(rc10_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v4_tex_3(B,A) ) ) )).
fof(rc10_vectsp_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v12_vectsp_1(A) ) )).
fof(rc10_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) ) ) )).
fof(rc10_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) ) ) )).
fof(rc10_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m4_yellow_6(B,A) & v1_relat_1(B) & ~ v1_xboole_0(B) & v8_yellow_6(B,A) ) ) )).
fof(rc11_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k12_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v4_abcmiz_1(B,A,k28_abcmiz_1(A)) & v9_abcmiz_1(B,A) ) ) )).
fof(rc11_abcmiz_a,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v3_abcmiz_a(A) ) )).
fof(rc11_algstr_0,axiom,( ? [A] : ( l4_algstr_0(A) & v13_struct_0(A,1) & v22_algstr_0(A) ) )).
fof(rc11_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v4_msualg_1(B,A) & v6_aofa_a01(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( l3_msualg_1(C,A) & v4_msualg_1(C,A) & v4_msafree4(C,A,B) & v9_msafree4(C,A,k5_msafree4(A,B)) & v17_aofa_a00(C,A) & v20_aofa_a00(C,4,1,A) & v22_aofa_a00(C,A,1,1,11) ) ) )).
fof(rc11_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v1_cat_6(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) ) )).
fof(rc11_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_relat_1(C) & v4_relat_1(C,B) & v5_relat_1(C,A) & v1_funct_1(C) & v1_funct_2(C,B,A) & v10_cohsp_1(C) ) ) )).
fof(rc11_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k2_comput_1(A)) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(A)) & v5_relat_1(B,A) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,A) ) ) )).
fof(rc11_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ? [B] : ( l2_conlat_1(B,A) & v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & v7_conlat_1(B,A) ) ) )).
fof(rc11_fomodel0,axiom,( ? [A] : ( v4_funct_1(A) & ~ v1_xboole_0(A) & v1_zfmisc_1(A) & v5_finset_1(A) & v3_finseq_1(A) ) )).
fof(rc11_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( l1_fomodel1(B) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & ~ v7_struct_0(B) & ~ v8_struct_0(B) & v11_fomodel1(B) & v16_fomodel1(B,A) ) ) )).
fof(rc11_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & ~ v8_ordinal1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v2_pre_poly(C) & ~ v15_fomodel1(C,A) & v3_fomodel2(C,A,B) & v4_fomodel2(C,A) & ~ v5_fomodel2(C,A) ) ) )).
fof(rc11_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ? [C] : v11_fomodel4(C,A,B) ) )).
fof(rc11_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ? [B] : ( l2_functor0(B,A,A) & v8_functor0(B,A,A) & v10_functor0(B,A,A) ) ) )).
fof(rc11_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ? [D] : ( m2_glib_000(D,A,B,C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_finset_1(D) & v1_glib_000(D) & v1_glib_003(D) & v4_glib_003(D,A) ) ) )).
fof(rc11_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m2_ideal_1(C,A,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) ) ) )).
fof(rc11_lattices,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v15_lattices(A) ) )).
fof(rc11_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ? [B] : ( m3_monoid_0(B,A) & ~ v2_struct_0(B) & v22_algstr_0(B) ) ) )).
fof(rc11_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msafree(C,A,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) ) )).
fof(rc11_ordinal1,axiom,( ? [A] : ~ v8_ordinal1(A) )).
fof(rc11_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v11_osalg_1(B,A) ) ) )).
fof(rc11_pcs_0,axiom,( ? [A] : ( l2_pcs_0(A) & ~ v2_struct_0(A) & v12_pcs_0(A) & v14_pcs_0(A) ) )).
fof(rc11_pre_poly,axiom,( ? [A] : ( m1_finseq_1(A,k4_ordinal1) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_card_3(A) & v4_card_3(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) ) )).
fof(rc11_pre_topc,axiom,( ? [A] : ( l1_pre_topc(A) & v2_struct_0(A) & v1_pre_topc(A) ) )).
fof(rc11_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & ~ v2_struct_0(A) & v3_prefer_1(A) & v4_prefer_1(A) ) )).
fof(rc11_quantal1,axiom,( ? [A] : ( l3_quantal1(A) & ~ v2_struct_0(A) ) )).
fof(rc11_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_zfmisc_1(B) & v10_rltopsp1(B,A) ) ) )).
fof(rc11_robbins1,axiom,( ? [A] : ( l4_robbins1(A) & ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v17_lattices(A) & v4_robbins1(A) & v5_robbins1(A) & v6_robbins1(A) & v10_robbins1(A) ) )).
fof(rc11_robbins3,axiom,( ? [A] : ( l4_robbins1(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v8_struct_0(A) & v13_struct_0(A,1) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v17_lattices(A) & v10_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & v1_robbins3(A) & v2_robbins3(A) & v3_robbins3(A) & v8_robbins3(A) & v9_robbins3(A) ) )).
fof(rc11_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v10_ordinal1(B) & v1_finset_1(B) & v5_finset_1(B) & v2_finsub_1(B) & ~ v1_setfam_1(B) & v1_classes1(B) & v3_scmyciel(B,1) & v4_scmyciel(B) & v5_scmyciel(B) ) ) )).
fof(rc11_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ? [C] : ( m2_simplex0(C,A,B) & v1_pre_topc(C) & v1_matroid0(C) & v3_matroid0(C) & v7_simplex0(C,A,B) ) ) )).
fof(rc11_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v5_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v4_tdlat_3(B) & v5_tdlat_3(B) ) ) )).
fof(rc11_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tdlat_3(B) & v2_tdlat_3(B) ) ) )).
fof(rc11_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tex_2(B,A) & v2_tex_3(B,A) ) ) )).
fof(rc11_vectsp_1,axiom,( ? [A] : ( l4_algstr_0(A) & ~ v2_struct_0(A) & v4_vectsp_1(A) ) )).
fof(rc11_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_2(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_vectsp_2(B,A) & v4_vectsp_2(B,A) ) ) )).
fof(rc11_waybel_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v2_waybel_0(B,A) & v12_waybel_0(B,A) & v13_waybel_0(B,A) ) ) )).
fof(rc12_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v4_abcmiz_1(B,A,k28_abcmiz_1(A)) & v8_abcmiz_1(B,A) ) ) )).
fof(rc12_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_a(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m2_abcmiz_1(C,A,B) & v2_abcmiz_1(C,A) & v4_abcmiz_a(C,A) ) ) )).
fof(rc12_algstr_0,axiom,( ? [A] : ( l4_algstr_0(A) & v13_struct_0(A,1) & v21_algstr_0(A) & v22_algstr_0(A) & v28_algstr_0(A) ) )).
fof(rc12_aofa_a00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_prob_2(B) ) => ? [C] : ( m3_pboole(C,A,B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_prob_2(C) ) ) )).
fof(rc12_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l3_msualg_1(C,A) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v1_msafree1(C,A) & ~ v8_aofa_a01(C,A,B) ) ) )).
fof(rc12_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_card_3(B),C),k3_card_3(B)))) & v1_relat_1(D) & v4_relat_1(D,k2_zfmisc_1(k3_card_3(B),C)) & v5_relat_1(D,k3_card_3(B)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k3_card_3(B),C),k3_card_3(B)) & v10_aofa_l00(D,A,B,C) ) ) )).
fof(rc12_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v2_struct_0(A) & v1_cat_6(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) ) )).
fof(rc12_comput_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_comput_1(k4_ordinal1))) & ~ v1_xboole_0(A) & v4_funct_1(A) & v6_comput_1(A) ) )).
fof(rc12_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ? [B] : ( l2_conlat_1(B,A) & v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & v8_conlat_1(B,A) ) ) )).
fof(rc12_fomodel0,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_setfam_1(B) ) ) )).
fof(rc12_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_fomodel1(A)) & ~ v4_fomodel1(B,A) & v10_fomodel1(B,A) ) ) )).
fof(rc12_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & ~ v1_xboole_0(B) & v4_funct_1(B) & v7_fomodel4(B,A) ) ) )).
fof(rc12_ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m3_ideal_1(C,A,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) ) ) )).
fof(rc12_lattices,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) ) )).
fof(rc12_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l3_msualg_1(C,A) & v3_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) ) ) )).
fof(rc12_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v3_qmax_1(A) & v1_oposet_1(A) & v4_oposet_1(A) & v5_oposet_1(A) ) )).
fof(rc12_ordinal1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ~ v10_ordinal1(A) ) )).
fof(rc12_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) ) ) )).
fof(rc12_pcs_0,axiom,( ? [A] : ( l2_pcs_0(A) & ~ v2_struct_0(A) & v12_pcs_0(A) & v15_pcs_0(A) ) )).
fof(rc12_pre_poly,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v4_valued_0(A) & v2_pre_poly(A) ) )).
fof(rc12_pre_topc,axiom,( ? [A] : ( l1_pre_topc(A) & v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) ) )).
fof(rc12_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & v2_struct_0(A) & v4_prefer_1(A) ) )).
fof(rc12_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) ) ) )).
fof(rc12_scmyciel,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v10_ordinal1(A) & v5_finset_1(A) & v2_finsub_1(A) & ~ v1_setfam_1(A) & v1_classes1(A) & v3_scmyciel(A,1) & v4_scmyciel(A) & v6_scmyciel(A) ) )).
fof(rc12_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) ) ) )).
fof(rc12_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v3_tex_3(B,A) ) ) )).
fof(rc12_vectsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ? [C] : ( l2_vectsp_2(C,A,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_vectsp_2(C,A,B) & v4_vectsp_2(C,B) & v5_vectsp_2(C,A,B) ) ) )).
fof(rc12_waybel_0,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) ) )).
fof(rc13_algstr_0,axiom,( ? [A] : ( l5_algstr_0(A) & v29_algstr_0(A) ) )).
fof(rc13_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & ~ v2_struct_0(A) & v1_cat_6(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) ) )).
fof(rc13_comput_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v7_comput_1(A) ) )).
fof(rc13_fomodel0,axiom,( ! [A] : ( ~ v1_finset_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v5_card_3(B) ) ) )).
fof(rc13_fomodel2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ? [C] : ( m1_subset_1(C,k1_fomodel1(B)) & v4_fomodel1(C,B) & ~ v6_fomodel1(C,B) & ~ v7_fomodel1(C,B) & v8_fomodel1(C,B) & v9_fomodel1(C,B) & v10_fomodel1(C,B) & ~ v7_fomodel2(C,A,B) ) ) )).
fof(rc13_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(B) & v13_fomodel4(B,2,A) ) ) )).
fof(rc13_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & v5_ideal_1(B,A) ) ) )).
fof(rc13_lattices,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v17_lattices(A) ) )).
fof(rc13_msafree4,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_prob_2(B) ) )).
fof(rc13_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v3_qmax_1(A) & v1_oposet_1(A) & v6_oposet_1(A) & v7_oposet_1(A) ) )).
fof(rc13_ordinal1,axiom,( ? [A] : ( v1_relat_1(A) & v9_ordinal1(A) ) )).
fof(rc13_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & v13_osalg_1(B,A) ) ) )).
fof(rc13_pcs_0,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v17_pcs_0(B) ) )).
fof(rc13_pre_poly,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,k4_ordinal1) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v4_valued_0(B) & v2_pre_poly(B) ) )).
fof(rc13_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l4_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v1_gcd_1(B,A) ) ) )).
fof(rc13_robbins3,axiom,( ? [A] : ( l3_robbins3(A) & v13_struct_0(A,1) & v3_orders_2(A) ) )).
fof(rc13_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ? [B] : ( m1_eqrel_1(B,k3_tarski(A)) & ~ v10_ordinal1(B) & v1_setfam_1(B) & v7_scmyciel(B,A) ) ) )).
fof(rc13_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & v1_tex_2(B,A) ) ) )).
fof(rc13_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tex_2(B,A) & v1_tex_3(B,A) ) ) )).
fof(rc13_waybel_0,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) )).
fof(rc14_abcmiz_1,axiom,( ! [A] : ( l1_msualg_1(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) ) )).
fof(rc14_algstr_0,axiom,( ? [A] : ( l5_algstr_0(A) & v13_struct_0(A,1) & v29_algstr_0(A) ) )).
fof(rc14_aofa_a00,axiom,( ? [A] : ( l5_aofa_a00(A) & v12_aofa_a00(A) ) )).
fof(rc14_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l4_aofa_l00(C,A,B) & v4_msualg_1(C,A) ) ) )).
fof(rc14_cat_6,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & v10_cat_6(B) & l1_cat_6(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_cat_6(C,A,B) ) ) )).
fof(rc14_comput_1,axiom,( ? [A] : ( m1_subset_1(A,k2_comput_1(k4_ordinal1)) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v2_margrel1(A) & v7_comput_1(A) ) )).
fof(rc14_fomodel0,axiom,( ? [A] : ( v1_xreal_0(A) & v1_int_1(A) & v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xcmplx_0(A) ) )).
fof(rc14_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & m1_subset_1(D,k15_fomodel2(C,B)) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) & v10_fomodel2(E,B,C,D) ) ) )).
fof(rc14_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(B) & v13_fomodel4(B,1,A) ) ) )).
fof(rc14_ideal_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_int_3(A) ) )).
fof(rc14_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v18_lattices(B,A) & v19_lattices(B,A) ) ) )).
fof(rc14_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l3_msualg_1(C,A) & v3_msualg_1(C,A) & v5_msafree4(C,A,B) ) ) )).
fof(rc14_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),B,D)) ) => ? [F] : ( m1_msafree5(F,A,k1_msafree3(A,B),C) & ~ v1_xboole_0(F) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(A)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(A)) & v1_funcop_1(F) & v2_funcop_1(F) & v13_msafree5(F,A,B,C,D,E) ) ) )).
fof(rc14_ordinal1,axiom,( ? [A] : ( v1_relat_1(A) & ~ v9_ordinal1(A) ) )).
fof(rc14_pre_poly,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) )).
fof(rc14_ring_2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v2_algstr_0(B,A) & v3_algstr_0(B,A) & v4_algstr_0(B,A) & v10_algstr_0(B,A) & ~ v1_gcd_1(B,A) ) ) )).
fof(rc14_robbins3,axiom,( ? [A] : ( l4_robbins3(A) & v13_struct_0(A,1) & v3_orders_2(A) ) )).
fof(rc14_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v8_scmyciel(A) ) => ? [B] : ( m1_eqrel_1(B,k3_tarski(A)) & ~ v10_ordinal1(B) & v1_finset_1(B) & v1_setfam_1(B) & v7_scmyciel(B,A) ) ) )).
fof(rc14_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & ~ v1_borsuk_1(B,A) & ~ v1_tsep_1(B,A) & v2_tdlat_3(B) & v3_tdlat_3(B) & v1_tex_2(B,A) ) ) )).
fof(rc15_abcmiz_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msualg_1(A) & v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v12_abcmiz_1(A) ) )).
fof(rc15_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_a(A) & l1_msualg_1(A) ) => ? [B] : ( m1_subset_1(B,u4_struct_0(A)) & v2_abcmiz_1(B,A) & v5_abcmiz_a(B,A) ) ) )).
fof(rc15_algstr_0,axiom,( ? [A] : ( l5_algstr_0(A) & v13_struct_0(A,1) & v29_algstr_0(A) & v32_algstr_0(A) ) )).
fof(rc15_aofa_a00,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l5_aofa_a00(B) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v12_aofa_a00(B) & v14_aofa_a00(B,A) ) ) )).
fof(rc15_aofa_l00,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ? [B] : ( l1_msualg_1(B) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v1_instalg1(B) & v2_aofa_l00(B,A) ) ) )).
fof(rc15_cat_6,axiom,( ! [A] : ! [B] : ( ( v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) & v10_cat_6(B) & l1_cat_6(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v2_relat_1(C) & v3_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_xboole_0(C) & v1_zfmisc_1(C) & ~ v1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & v1_ordinal1(C) & v2_ordinal1(C) & v3_ordinal1(C) & v5_ordinal1(C) & v6_ordinal1(C) & v7_ordinal1(C) & v8_ordinal1(C) & v9_ordinal1(C) & ~ v10_ordinal1(C) & v1_funct_1(C) & v2_funct_1(C) & v3_funct_1(C) & v4_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_setfam_1(C) & v1_finset_1(C) & v2_finset_1(C) & v5_finset_1(C) & v1_card_1(C) & v3_card_1(C,k5_ordinal1) & v1_finseq_1(C) & v2_finseq_1(C) & v3_finseq_1(C) & v1_xcmplx_0(C) & v1_xxreal_0(C) & ~ v2_xxreal_0(C) & ~ v3_xxreal_0(C) & v1_xreal_0(C) & v1_valued_0(C) & v2_valued_0(C) & v3_valued_0(C) & v4_valued_0(C) & v5_valued_0(C) & v6_valued_0(C) & v7_valued_0(C) & v8_valued_0(C) & v13_cat_6(C,A,B) & v14_cat_6(C,A,B) & v15_cat_6(C,A,B) ) ) )).
fof(rc15_comput_1,axiom,( ? [A] : ( m1_subset_1(A,k9_comput_1) & ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v2_margrel1(A) & v3_margrel1(A,k4_ordinal1) & v7_comput_1(A) ) )).
fof(rc15_fomodel0,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partit_2(A) ) )).
fof(rc15_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k15_fomodel2(B,A)) ) => ? [D] : v10_fomodel2(D,A,B,C) ) )).
fof(rc15_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(B) & v13_fomodel4(B,k5_numbers,A) ) ) )).
fof(rc15_ideal_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v6_ideal_1(A) ) )).
fof(rc15_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v6_oposet_1(A) & v7_oposet_1(A) & v10_oposet_1(A) ) )).
fof(rc15_pre_poly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,A) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v4_valued_0(B) & v2_pre_poly(B) ) ) )).
fof(rc15_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & v2_struct_0(A) & v7_struct_0(A) & v8_struct_0(A) & v13_struct_0(A,k5_ordinal1) & v1_yellow_3(A) & v4_prefer_1(A) & v7_prefer_1(A) ) )).
fof(rc15_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ~ v4_ring_2(B,A) ) ) )).
fof(rc15_robbins3,axiom,( ? [A] : ( l2_qmax_1(A) & v13_struct_0(A,1) & v3_orders_2(A) ) )).
fof(rc15_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_tarski(A))) & v9_scmyciel(B,A) ) ) )).
fof(rc15_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v3_tdlat_3(B) & v1_tex_2(B,A) ) ) )).
fof(rc16_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k2_abcmiz_1) & v5_relat_1(B,k34_abcmiz_1(A)) & v1_funct_1(B) & v1_funcop_1(B) & v2_funcop_1(B) ) ) )).
fof(rc16_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_a(A) & l1_msualg_1(A) ) => ? [B] : ( m1_subset_1(B,u4_struct_0(A)) & v2_abcmiz_1(B,A) & v6_abcmiz_a(B,A) ) ) )).
fof(rc16_aofa_a00,axiom,( ? [A] : ( l6_aofa_a00(A) & v15_aofa_a00(A) ) )).
fof(rc16_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) ) => ? [C] : ( l2_aofa_l00(C,B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v14_struct_0(C) & v1_instalg1(C) & v2_aofa_l00(C,A) ) ) )).
fof(rc16_cat_6,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & ~ v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_cat_6(C,A,B) & v14_cat_6(C,A,B) & v15_cat_6(C,A,B) ) ) )).
fof(rc16_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v7_comput_1(A) & v8_comput_1(A,k5_numbers) ) )).
fof(rc16_fomodel0,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v4_fomodel0(A) ) )).
fof(rc16_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) & v12_fomodel2(C,A) ) ) )).
fof(rc16_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(B) & v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) ) ) )).
fof(rc16_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m1_msualg_4(C,A,B,B) & v1_relat_1(C) & v3_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_funcop_1(C) ) ) )).
fof(rc16_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & v15_msafree5(C,A,B) ) ) )).
fof(rc16_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & ~ v2_struct_0(A) & v4_prefer_1(A) & v7_prefer_1(A) ) )).
fof(rc16_robbins3,axiom,( ? [A] : ( l4_robbins3(A) & ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice3(A) & v2_lattice3(A) & v10_robbins1(A) & v6_oposet_1(A) & v7_oposet_1(A) & v10_oposet_1(A) & v10_robbins3(A) & v11_robbins3(A) ) )).
fof(rc16_roughs_4,axiom,( ? [A] : ( l4_roughs_4(A) & v18_roughs_4(A) & v28_roughs_4(A) ) )).
fof(rc16_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_tarski(A))) & v1_finset_1(B) & v9_scmyciel(B,A) ) ) )).
fof(rc16_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v4_tex_2(B,A) ) ) )).
fof(rc17_algstr_0,axiom,( ? [A] : ( l6_algstr_0(A) & v36_algstr_0(A) ) )).
fof(rc17_aofa_a00,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l6_aofa_a00(B) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_aofa_a00(B,A) & v15_aofa_a00(B) ) ) )).
fof(rc17_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & ~ v1_xboole_0(C) ) => ? [D] : ( l2_aofa_l00(D,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v14_struct_0(D) & v1_instalg1(D) & v2_aofa_l00(D,A) & v6_aofa_l00(D,C) & v7_aofa_l00(D,B) ) ) )).
fof(rc17_cat_6,axiom,( ! [A] : ! [B] : ( ( v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) & v10_cat_6(B) & l1_cat_6(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v2_relat_1(C) & v3_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_xboole_0(C) & v1_zfmisc_1(C) & ~ v1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & v1_ordinal1(C) & v2_ordinal1(C) & v3_ordinal1(C) & v5_ordinal1(C) & v6_ordinal1(C) & v7_ordinal1(C) & v8_ordinal1(C) & v9_ordinal1(C) & ~ v10_ordinal1(C) & v1_funct_1(C) & v2_funct_1(C) & v3_funct_1(C) & v4_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_setfam_1(C) & v1_finset_1(C) & v2_finset_1(C) & v5_finset_1(C) & v1_card_1(C) & v3_card_1(C,k5_ordinal1) & v1_finseq_1(C) & v2_finseq_1(C) & v3_finseq_1(C) & v1_xcmplx_0(C) & v1_xxreal_0(C) & ~ v2_xxreal_0(C) & ~ v3_xxreal_0(C) & v1_xreal_0(C) & v1_valued_0(C) & v2_valued_0(C) & v3_valued_0(C) & v4_valued_0(C) & v5_valued_0(C) & v6_valued_0(C) & v7_valued_0(C) & v8_valued_0(C) & v16_cat_6(C,A,B) & v17_cat_6(C,A,B) ) ) )).
fof(rc17_comput_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v7_comput_1(A) & v8_comput_1(A,1) ) )).
fof(rc17_fomodel0,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & ~ v1_xboole_0(A) ) )).
fof(rc17_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) & v1_relat_1(B) & v4_relat_1(B,k9_setfam_1(k1_fomodel4(A))) & v5_relat_1(B,k9_setfam_1(k1_fomodel4(A))) & v1_funct_1(B) & v1_partfun1(B,k9_setfam_1(k1_fomodel4(A))) & v1_funct_2(B,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) & v16_fomodel4(B,A) ) ) )).
fof(rc17_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) ) ) )).
fof(rc17_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( m1_finseq_1(D,k3_card_3(B)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,k3_card_3(B)) & v1_funct_1(D) & v1_finset_1(D) & v1_finseq_1(D) & v2_finseq_1(D) & v4_card_3(D) & v17_msafree5(D,A,B,C) ) ) )).
fof(rc17_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v21_pcs_0(B,A) ) ) )).
fof(rc17_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & v2_struct_0(A) & v7_struct_0(A) & v8_struct_0(A) & v13_struct_0(A,k5_ordinal1) & v1_yellow_3(A) & v4_prefer_1(A) & v7_prefer_1(A) & v8_prefer_1(A) ) )).
fof(rc17_ring_2,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & v8_ideal_1(A) ) )).
fof(rc17_robbins3,axiom,( ? [A] : ( l3_robbins3(A) & ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice3(A) & v2_lattice3(A) & v10_robbins3(A) & v11_robbins3(A) ) )).
fof(rc17_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ? [B] : ( m1_eqrel_1(B,k3_tarski(A)) & ~ v10_ordinal1(B) & v1_setfam_1(B) & v10_scmyciel(B,A) ) ) )).
fof(rc17_struct_0,axiom,( ! [A] : ( l2_struct_0(A) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v9_struct_0(B,A) ) ) )).
fof(rc18_algstr_0,axiom,( ? [A] : ( l6_algstr_0(A) & v13_struct_0(A,1) & v36_algstr_0(A) ) )).
fof(rc18_aofa_a00,axiom,( ? [A] : ( l6_aofa_a00(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v14_aofa_a00(A,3) & v15_aofa_a00(A) & v16_aofa_a00(A) ) )).
fof(rc18_cat_6,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & ~ v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v16_cat_6(C,A,B) & v17_cat_6(C,A,B) ) ) )).
fof(rc18_comput_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v7_comput_1(A) & v8_comput_1(A,2) ) )).
fof(rc18_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_funct_1(B) & v2_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v2_funct_2(B,A) & v3_funct_2(B,A,A) & v3_relat_2(B) & v2_abian(B) & v4_fomodel0(B) ) ) )).
fof(rc18_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k17_fomodel1(B)) & ~ v1_xboole_0(C) & ~ v8_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v4_card_3(C) & v2_pre_poly(C) & v15_fomodel1(C,B) & v3_fomodel2(C,B,k5_numbers) & v4_fomodel2(C,B) & v13_fomodel2(C,A,B) ) ) )).
fof(rc18_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( m1_finseq_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & v1_funct_1(D) & v1_finset_1(D) & v1_finseq_1(D) & v2_finseq_1(D) & v1_funcop_1(D) & v2_funcop_1(D) & v6_trees_3(D) & v4_card_3(D) & v18_msafree5(D,A,B,C) ) ) )).
fof(rc18_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & ~ v2_struct_0(A) & v4_prefer_1(A) & v8_prefer_1(A) ) )).
fof(rc18_ring_2,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v7_algstr_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v14_algstr_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v9_rlvect_1(A) & v1_group_1(A) & v3_group_1(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) & v8_ring_2(A) ) )).
fof(rc18_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) & l4_robbins1(A) ) => ? [B] : ( m3_robbins3(B,A) & ~ v2_struct_0(B) & v4_lattices(B) & v5_lattices(B) & v6_lattices(B) & v7_lattices(B) & v8_lattices(B) & v9_lattices(B) & v10_lattices(B) & v1_robbins3(B) & v2_robbins3(B) & v3_robbins3(B) & v9_robbins3(B) & v10_robbins3(B) & v11_robbins3(B) ) ) )).
fof(rc18_roughs_4,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v2_roughs_1(A) ) )).
fof(rc18_scmyciel,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v10_ordinal1(A) & v5_finset_1(A) & v2_finsub_1(A) & ~ v1_setfam_1(A) & v1_classes1(A) & v3_scmyciel(A,1) & v4_scmyciel(A) & v11_scmyciel(A) ) )).
fof(rc19_aofa_a00,axiom,( ? [A] : ( l5_aofa_a00(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) ) )).
fof(rc19_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) & v1_relat_1(C) & ~ v3_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & ~ v3_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_partfun1(D,u1_struct_0(B)) & v1_aofa_l00(D,C) ) ) )).
fof(rc19_comput_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) & v7_comput_1(A) & v8_comput_1(A,3) ) )).
fof(rc19_fomodel0,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_relat_2(A) & v2_abian(A) ) )).
fof(rc19_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & ~ v1_xboole_0(C) & ~ v8_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v4_card_3(C) & v2_pre_poly(C) & v4_fomodel2(C,B) & v13_fomodel2(C,A,B) ) ) )).
fof(rc19_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(B)) ) => ? [E] : ( m1_finseq_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & v1_funct_1(E) & v1_finset_1(E) & v1_finseq_1(E) & v2_finseq_1(E) & v1_funcop_1(E) & v2_funcop_1(E) & v6_trees_3(E) & v4_card_3(E) & v19_msafree5(E,A,B,C,D) ) ) )).
fof(rc19_robbins3,axiom,( ? [A] : ( l4_robbins3(A) & ~ v2_struct_0(A) & v10_lattices(A) & v8_robbins1(A) & v10_robbins1(A) & v8_robbins3(A) & v9_robbins3(A) & v10_robbins3(A) ) )).
fof(rc19_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => ? [B] : ( m1_eqrel_1(B,k3_tarski(A)) & ~ v10_ordinal1(B) & v1_finset_1(B) & v1_setfam_1(B) & v10_scmyciel(B,A) ) ) )).
fof(rc19_struct_0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l2_struct_0(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ~ v9_struct_0(B,A) ) ) )).
fof(rc1_abcmiz_0,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_abcmiz_0(A) ) )).
fof(rc1_abcmiz_1,axiom,( ? [A] : ( l1_msualg_1(A) & v1_msualg_1(A) & v1_instalg1(A) & v1_abcmiz_1(A) ) )).
fof(rc1_abcmiz_a,axiom,( ? [A] : ( m1_subset_1(A,k4_abcmiz_1) & v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_abcmiz_1) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_abian,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_abian(A) ) )).
fof(rc1_absred_0,axiom,( ? [A] : ( l1_absred_0(A) & v1_absred_0(A) ) )).
fof(rc1_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_aff_1(B,A) ) ) )).
fof(rc1_afinsq_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) )).
fof(rc1_afinsq_2,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_xboole_0(A) & v5_ordinal1(A) & v4_valued_0(A) & v1_finset_1(A) & v1_afinsq_1(A) ) )).
fof(rc1_afproj,axiom,( ? [A] : ( l1_incsp_1(A) & v1_incsp_1(A) & v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) ) )).
fof(rc1_afvect0,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v1_afvect0(A) ) )).
fof(rc1_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) ) ) )).
fof(rc1_algspec1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ? [B] : ( m2_algspec1(B,A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_msualg_1(B) & v1_instalg1(B) ) ) )).
fof(rc1_algstr_1,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v8_algstr_0(A) & v4_rlvect_1(A) & v1_algstr_1(A) & v4_algstr_1(A) ) )).
fof(rc1_algstr_3,axiom,( ? [A] : ( l1_algstr_3(A) & v1_algstr_3(A) ) )).
fof(rc1_algstr_4,axiom,( ? [A] : ( l3_algstr_0(A) & v2_struct_0(A) ) )).
fof(rc1_ali2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) ) ) )).
fof(rc1_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ? [B] : ( m1_altcat_2(B,A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) & v2_altcat_2(B,A) & v3_altcat_2(B,A) ) ) )).
fof(rc1_altcat_5,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v6_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v1_altcat_5(A) ) )).
fof(rc1_altcat_6,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v6_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v4_altcat_5(A) & v3_altcat_6(A) ) )).
fof(rc1_ami_3,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(A) ) )).
fof(rc1_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_ami_wstd(B,A) ) ) )).
fof(rc1_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) ) ) )).
fof(rc1_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) ) ) )).
fof(rc1_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) ) ) )).
fof(rc1_analmetr,axiom,( ? [A] : ( l1_analmetr(A) & v1_analmetr(A) ) )).
fof(rc1_analoaf,axiom,( ? [A] : ( l1_analoaf(A) & v1_analoaf(A) ) )).
fof(rc1_anproj_2,axiom,( ? [A] : ( l1_rlvect_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_anproj_2(A) ) )).
fof(rc1_aofa_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(A)) & v5_relat_1(B,A) & ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,A) & v8_comput_1(B,2) & v1_aofa_000(B) & v2_aofa_000(B) ) ) )).
fof(rc1_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l1_aofa_a00(B,A) & v1_aofa_a00(B,A) ) ) )).
fof(rc1_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ? [B] : ( l3_msualg_1(B,A) & v4_msualg_1(B,A) & v1_aofa_a01(B,A) ) ) )).
fof(rc1_aofa_i00,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k1_card_1(A)) & v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,k1_card_1(A)) & v2_funct_2(B,k1_card_1(A)) ) )).
fof(rc1_armstrng,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_relat_2(A) & v4_relat_2(A) & v8_relat_2(A) ) )).
fof(rc1_arrow,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_partfun1(B,A) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) ) )).
fof(rc1_arytm_3,axiom,( ? [A] : ( m1_subset_1(A,k5_arytm_3) & ~ v1_xboole_0(A) & v3_ordinal1(A) ) )).
fof(rc1_asympt_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc1_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & v1_relat_1(B) & v4_relat_1(B,k15_pre_poly(A)) & v5_relat_1(B,k15_pre_poly(A)) & v1_partfun1(B,k15_pre_poly(A)) & v1_funct_2(B,k15_pre_poly(A),k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) ) ) )).
fof(rc1_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v1_bcialg_2(B,A) ) ) )).
fof(rc1_bcialg_3,axiom,( ? [A] : ( l2_bcialg_1(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_3(A) ) )).
fof(rc1_bcialg_4,axiom,( ? [A] : ( l1_bcialg_4(A) & v1_bcialg_4(A) ) )).
fof(rc1_bcialg_5,axiom,( ? [A] : ( l2_bcialg_1(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v1_bcialg_5(A) ) )).
fof(rc1_bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(C,A,B) ) ) )).
fof(rc1_bhsp_1,axiom,( ? [A] : ( l1_bhsp_1(A) & v1_bhsp_1(A) ) )).
fof(rc1_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) ) ) )).
fof(rc1_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : ( m1_bhsp_5(B,A) & v1_finset_1(B) ) ) )).
fof(rc1_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C))) & v5_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C))) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) ) ) )).
fof(rc1_binom,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & v7_algstr_0(A) & v1_algstr_1(A) & v5_vectsp_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) )).
fof(rc1_bintree1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & v1_bintree1(A) ) )).
fof(rc1_bintree2,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) )).
fof(rc1_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) ) ) )).
fof(rc1_borsuk_2,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v2_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_pre_topc(B,A,A) ) ) )).
fof(rc1_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) ) ) )).
fof(rc1_borsuk_5,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v1_connsp_1(A) ) )).
fof(rc1_borsuk_6,axiom,( ? [A] : ( l1_struct_0(A) & ~ v2_struct_0(A) & v3_topmetr(A) ) )).
fof(rc1_borsuk_7,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v2_funcop_1(A) & v7_valued_2(A) & v1_borsuk_7(A) ) )).
fof(rc1_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v1_c0sp1(B,A) ) ) )).
fof(rc1_cantor_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(B,A) & v1_cantor_1(B,A) ) ) )).
fof(rc1_card_1,axiom,( ? [A] : v1_card_1(A) )).
fof(rc1_card_3,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) )).
fof(rc1_card_5,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & ~ v1_finset_1(A) & v1_card_1(A) ) )).
fof(rc1_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ? [B] : ( m1_card_fil(B,A) & ~ v1_xboole_0(B) & ~ v2_card_fil(B,A) & v3_card_fil(B,A) ) ) )).
fof(rc1_card_lar,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_xboole_0(A) & ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) & v1_card_5(A) ) )).
fof(rc1_cat_1,axiom,( ? [A] : ( l1_cat_1(A) & v1_cat_1(A) ) )).
fof(rc1_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ? [B] : ( m3_cat_2(B,A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v1_cat_1(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) ) ) )).
fof(rc1_cat_4,axiom,( ? [A] : ( l1_cat_4(A) & v2_cat_4(A) ) )).
fof(rc1_cat_5,axiom,( ? [A] : ( l1_cat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_cat_1(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v1_cat_5(A) ) )).
fof(rc1_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v1_cat_6(A) ) )).
fof(rc1_cat_7,axiom,( ? [A] : ( l1_cat_6(A) & v1_cat_6(A) & v6_cat_7(A) ) )).
fof(rc1_catalan2,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_xboole_0(A) & v5_ordinal1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v1_finset_1(A) & v4_partfun3(A) & v1_afinsq_1(A) & v1_catalan2(A) ) )).
fof(rc1_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v1_msafree1(B,A) ) ) )).
fof(rc1_cayldick,axiom,( ? [A] : ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v4_card_3(A) & v1_afinsq_1(A) ) )).
fof(rc1_cc0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ? [B] : ( m1_cc0sp1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v6_vectsp_1(B) & v1_group_1(B) & v3_group_1(B) & v5_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v1_cfuncdom(B) & v2_cfuncdom(B) ) ) )).
fof(rc1_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k2_numbers) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),k2_numbers) & v1_valued_0(B) & v1_cc0sp2(B,A) ) ) )).
fof(rc1_cfdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v9_ordinal1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_valued_0(A) & v1_cfdiff_1(A,k5_numbers) ) )).
fof(rc1_cfuncdom,axiom,( ? [A] : ( l1_cfuncdom(A) & v1_cfuncdom(A) ) )).
fof(rc1_cgames_1,axiom,( ? [A] : ( l1_cgames_1(A) & v1_cgames_1(A) ) )).
fof(rc1_chain_1,axiom,( ? [A] : ( ~ v1_zfmisc_1(A) & v1_finset_1(A) ) )).
fof(rc1_chord,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) & v7_glib_000(A) & v2_chord(A) ) )).
fof(rc1_circcmb3,axiom,( ? [A] : ( l1_msualg_1(A) & v4_circcmb3(A) ) )).
fof(rc1_circcomb,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_msualg_1(A) & v1_circcomb(A) & v2_circcomb(A) ) )).
fof(rc1_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_rlvect_2(B,A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_circled1(B,A) ) ) )).
fof(rc1_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & ~ v1_xboole_0(B) & v4_funct_1(B) & v3_finseq_1(B) & v1_pdiff_7(B,A) ) ) )).
fof(rc1_classes2,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_classes2(A) ) )).
fof(rc1_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_clopban1(C,A,B) ) ) )).
fof(rc1_clopban2,axiom,( ? [A] : ( l2_clvect_1(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v3_clopban1(A) ) )).
fof(rc1_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_clopban3(B,A) ) ) )).
fof(rc1_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m1_pboole(C,A,k5_mssubfam(A,B)) & v1_relat_1(C) & v3_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) ) )).
fof(rc1_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & ~ v1_xboole_0(C) & v4_funct_1(C) & v2_card_3(C) ) ) )).
fof(rc1_clvect_1,axiom,( ? [A] : ( l1_clvect_1(A) & v1_clvect_1(A) ) )).
fof(rc1_coh_sp,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) )).
fof(rc1_cohsp_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_classes1(A) & v1_coh_sp(A) ) )).
fof(rc1_collsp,axiom,( ? [A] : ( l1_collsp(A) & v1_collsp(A) ) )).
fof(rc1_compact1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_compact1(B,A) ) ) )).
fof(rc1_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v1_compl_sp(B,A) ) ) )).
fof(rc1_compos_0,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_compos_0(A) ) )).
fof(rc1_compos_1,axiom,( ? [A] : ( l1_compos_1(A) & v1_compos_1(A) ) )).
fof(rc1_compos_2,axiom,( ? [A] : ( l1_compos_1(A) & v1_amistd_4(A) ) )).
fof(rc1_compts_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) ) )).
fof(rc1_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_funct_1(A) & v1_comput_1(A) ) )).
fof(rc1_comseq_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v9_ordinal1(A) & v1_valued_0(A) ) )).
fof(rc1_comseq_2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_valued_0(A) & v1_comseq_2(A) ) )).
fof(rc1_comseq_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v2_series_1(A) ) )).
fof(rc1_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) ) ) )).
fof(rc1_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_connsp_3(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_convex1(B,A) ) ) )).
fof(rc1_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_rlvect_2(B,A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v2_convex1(B,A) ) ) )).
fof(rc1_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_convex3(B,A) ) ) )).
fof(rc1_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_convex4(B,A) ) ) )).
fof(rc1_cqc_lang,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => ? [C] : ( m1_finseq_1(C,k2_qc_lang1(A)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k2_qc_lang1(A)) & v5_relat_1(C,k3_qc_lang1(A)) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) ) ) )).
fof(rc1_csspace,axiom,( ? [A] : ( l1_csspace(A) & v1_csspace(A) ) )).
fof(rc1_csspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,u1_struct_0(B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funct_2(C,A,u1_struct_0(B)) & v1_csspace4(C,A,B) ) ) )).
fof(rc1_dblseq_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_partfun1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_dblseq_1(A) & v2_dblseq_1(A) & v3_dblseq_1(A) ) )).
fof(rc1_descip_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),k2_finseq_1(A)))) & v1_relat_1(B) & v4_relat_1(B,k5_card_1(A)) & v5_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k5_card_1(A)) & v1_funct_2(B,k5_card_1(A),k2_finseq_1(A)) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v4_valued_0(B) & v1_descip_1(B,A) ) ) )).
fof(rc1_diff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_partfun1(k1_numbers,k1_numbers)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & v1_diff_1(A) ) )).
fof(rc1_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_dilworth(B,A) ) ) )).
fof(rc1_diraf,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v1_diraf(A) ) )).
fof(rc1_dirort,axiom,( ? [A] : ( l1_analmetr(A) & ~ v2_struct_0(A) & v1_dirort(A) ) )).
fof(rc1_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m1_dist_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k1_numbers) & ~ v1_xboole_0(B) & v1_funct_1(B) & v3_funct_1(B) & v1_finset_1(B) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_finseq_1(B) & v2_finseq_1(B) & v4_partfun3(B) & v1_matrprob(B) ) ) )).
fof(rc1_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m1_subset_1(B,k6_dist_1(A)) & ~ v1_xboole_0(B) & v1_setfam_1(B) ) ) )).
fof(rc1_dtconstr,axiom,( ? [A] : ( l1_lang1(A) & ~ v2_struct_0(A) & v1_lang1(A) & v1_dtconstr(A) & v2_dtconstr(A) & v3_dtconstr(A) ) )).
fof(rc1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_hahnban(B,A) & v2_hahnban(B,A) & v3_hahnban(B,A) & v4_hahnban(B,A) & v1_dualsp01(B,A) ) ) )).
fof(rc1_e_siec,axiom,( ? [A] : ( l1_e_siec(A) & v1_e_siec(A) ) )).
fof(rc1_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_ec_pf_1(B,A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v36_algstr_0(B) & v1_group_1(B) & v3_group_1(B) & v5_group_1(B) & v1_int_3(B) & v1_vectsp_1(B) & v2_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v6_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) ) ) )).
fof(rc1_ec_pf_2,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_int_2(A) & v1_xxreal_0(A) & v1_ec_pf_2(A,5) ) )).
fof(rc1_endalg,axiom,( ? [A] : ( l4_algstr_0(A) & ~ v2_struct_0(A) & v6_vectsp_1(A) ) )).
fof(rc1_entropy1,axiom,( ? [A] : ( m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_partfun3(A) ) )).
fof(rc1_eqrel_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) & v1_eqrel_1(B,A) ) )).
fof(rc1_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v2_msafree(B,A) ) ) )).
fof(rc1_euclid_7,axiom,( ? [A] : v2_euclid_7(A) )).
fof(rc1_euclmetr,axiom,( ? [A] : ( l2_analmetr(A) & ~ v2_struct_0(A) & v3_analmetr(A) & v4_analmetr(A) & v1_euclmetr(A) & v2_euclmetr(A) & v3_euclmetr(A) & v4_euclmetr(A) & v5_euclmetr(A) & v6_euclmetr(A) & v7_euclmetr(A) ) )).
fof(rc1_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(A) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,C) & v5_relat_1(D,B) & v5_ordinal1(D) & v1_funct_1(D) & v1_xboole_0(D) & v1_finset_1(D) & v1_exchsort(D) & v2_exchsort(D,A) & v2_exchsort(D,k5_numbers) ) ) )).
fof(rc1_extens_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msafree(C,A,B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) ) ) )).
fof(rc1_extpro_1,axiom,( ! [A] : ? [B] : ( l1_extpro_1(B,A) & v1_extpro_1(B,A) ) )).
fof(rc1_facirc_1,axiom,( ? [A] : ~ v1_xtuple_0(A) )).
fof(rc1_facirc_2,axiom,( ? [A] : ( l1_msualg_1(A) & v11_struct_0(A) & v1_msualg_1(A) ) )).
fof(rc1_fcont_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k1_numbers) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_fcont_1(A) ) )).
fof(rc1_fdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v9_ordinal1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_fdiff_1(A,k5_numbers) ) )).
fof(rc1_fib_num2,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(A) & v6_membered(A) ) )).
fof(rc1_filter_0,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v3_filter_0(A) ) )).
fof(rc1_fin_topo,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) ) )).
fof(rc1_finance1,axiom,( ? [A] : ( m1_subset_1(A,k12_prob_1) & ~ v1_xboole_0(A) ) )).
fof(rc1_finseq_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) )).
fof(rc1_finseq_2,axiom,( ! [A] : ? [B] : ( m1_finseq_2(B,A) & ~ v1_xboole_0(B) ) )).
fof(rc1_finseq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m1_eqrel_1(B,A) & ~ v10_ordinal1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v5_finset_1(B) & v1_setfam_1(B) ) ) )).
fof(rc1_finseq_5,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & ~ v1_xboole_0(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v3_card_1(B,1) & v1_finseq_1(B) & v2_finseq_1(B) & v1_finseq_6(B,A) ) ) )).
fof(rc1_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) ) )).
fof(rc1_finsub_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finsub_1(A) & v2_finsub_1(A) & v3_finsub_1(A) ) )).
fof(rc1_fintopo6,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_fintopo6(B,A) & v1_orders_2(B) ) ) )).
fof(rc1_fomodel0,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v5_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v2_binop_1(B,A) ) )).
fof(rc1_fomodel1,axiom,( ? [A] : ( l1_fomodel1(A) & v1_fomodel1(A) ) )).
fof(rc1_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) ) )).
fof(rc1_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,A) & v5_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,A) & v1_funct_2(E,A,B) & v1_fomodel3(E,C,D) ) ) )).
fof(rc1_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_fomodel4(A)) & v1_xtuple_0(B) & v1_fomodel4(B,A) ) ) )).
fof(rc1_freealg,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_freealg(A) ) )).
fof(rc1_friends1,axiom,( ? [A] : ( v1_relat_1(A) & v2_relat_2(A) & v3_relat_2(A) & v1_finset_1(A) & v3_friends1(A) ) )).
fof(rc1_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ? [C] : ( l1_fsm_3(C,A,B) & v1_fsm_3(C,A,B) ) ) )).
fof(rc1_funcop_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) )).
fof(rc1_funcsdom,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v8_struct_0(A) & v13_struct_0(A,1) & v13_algstr_0(A) & v36_algstr_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) ) )).
fof(rc1_funct_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) ) )).
fof(rc1_funct_2,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,A,B) ) )).
fof(rc1_funct_3,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v5_relat_1(B,A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v3_binop_1(B,A) ) )).
fof(rc1_funct_7,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_funcop_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_funct_8,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) & v1_membered(A) & v1_funct_8(A) ) )).
fof(rc1_funct_9,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v2_funct_9(A) ) )).
fof(rc1_functor0,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)))) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,A)) & v5_relat_1(C,k2_zfmisc_1(B,B)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)) & v1_functor0(C,A,B) & v2_functor0(C,A,B) ) )).
fof(rc1_functor1,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & v1_altcat_2(A) ) )).
fof(rc1_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k1_numbers) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_fuznum_1(B,A) ) ) )).
fof(rc1_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k1_numbers) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) ) ) )).
fof(rc1_fvaluat1,axiom,( ? [A] : ( m1_subset_1(A,k6_numbers) & v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(A) & v1_fvaluat1(A) ) )).
fof(rc1_gaussint,axiom,( ? [A] : ( l1_gaussint(A) & v2_gaussint(A) ) )).
fof(rc1_gcd_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) ) )).
fof(rc1_geomtrap,axiom,( ? [A] : ( l1_geomtrap(A) & v1_geomtrap(A) ) )).
fof(rc1_glib_000,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) )).
fof(rc1_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : ( m3_glib_001(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_glib_001(B,A) & v2_glib_001(B,A) & v3_glib_001(B,A) ) ) )).
fof(rc1_glib_002,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_glib_000(A) & v3_glib_002(A) ) )).
fof(rc1_glib_003,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v2_glib_003(A) & v3_glib_003(A) ) )).
fof(rc1_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) ) => ? [B] : ( m1_glib_000(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v2_pre_poly(B) & v1_glib_000(B) & v2_glib_000(B) & v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v7_glib_003(B) ) ) )).
fof(rc1_goboard1,axiom,( ? [A] : ( m1_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_relat_1(A) & ~ v3_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) ) )).
fof(rc1_goboard5,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) ) )).
fof(rc1_goboard9,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(A) & v1_convex1(A,k15_euclid(2)) ) )).
fof(rc1_goedelcp,axiom,( ? [A] : ( m1_qc_lang1(A) & v4_card_3(A) ) )).
fof(rc1_gr_cy_1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) ) )).
fof(rc1_gr_cy_3,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_int_2(A) & v1_finset_1(A) & v1_card_1(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_gr_cy_3(A) ) )).
fof(rc1_graph_1,axiom,( ? [A] : ( l1_graph_1(A) & v1_graph_1(A) ) )).
fof(rc1_graph_2,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_graph_2(A) & v2_graph_2(A) ) )).
fof(rc1_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m1_graph_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v2_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_msscyc_1(B,A) ) ) )).
fof(rc1_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m1_graph_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v7_graph_1(B,A) & v1_graph_4(B,A) ) ) )).
fof(rc1_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) ) ) )).
fof(rc1_grnilp_1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v1_grnilp_1(A) ) )).
fof(rc1_group_1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) ) )).
fof(rc1_group_10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,k1_funct_2(B,B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) ) ) )).
fof(rc1_group_19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( m1_group_2(B,A) & ~ v2_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & v11_monoid_0(B) & v12_monoid_0(B) & v13_monoid_0(B) & v14_monoid_0(B) & v15_monoid_0(B) & v16_monoid_0(B) ) ) )).
fof(rc1_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( m1_group_2(B,A) & ~ v2_struct_0(B) & v15_algstr_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) ) ) )).
fof(rc1_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( m1_group_2(B,A) & ~ v2_struct_0(B) & v15_algstr_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v1_group_3(B,A) ) ) )).
fof(rc1_group_6,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) ) )).
fof(rc1_group_7,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) ) )).
fof(rc1_group_9,axiom,( ! [A] : ? [B] : ( l1_group_9(B,A) & v2_group_9(B,A) ) )).
fof(rc1_groupp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v7_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & v1_groupp_1(C,B,A) ) ) )).
fof(rc1_grsolv_1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_grsolv_1(A) ) )).
fof(rc1_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & v6_hahnban(B,A) ) ) )).
fof(rc1_hahnban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) & v2_hahnban1(C,A,B) ) ) )).
fof(rc1_hallmar1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc1_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & v1_henmodel(B,A) ) ) )).
fof(rc1_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(k1_complfld)) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(B,A,k1_complfld) & v2_hahnban1(B,k1_complfld,A) & v1_valued_0(B) & v1_hermitan(B,A) ) ) )).
fof(rc1_heyting1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k8_normform(A)) & ~ v1_xboole_0(B) ) )).
fof(rc1_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,u1_struct_0(k1_heyting3(k4_ordinal1,k6_domain_1(k4_ordinal1,A)))) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_hilbert1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v5_hilbert1(A) ) )).
fof(rc1_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k1_hilbert1) & m1_subset_1(C,k1_hilbert1) & m1_subset_1(D,k1_hilbert1) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_hilbert3(A,k3_hilbert1(B,C)),k3_hilbert3(A,k3_hilbert1(B,D))))) & v1_relat_1(E) & v4_relat_1(E,k3_hilbert3(A,k3_hilbert1(B,C))) & v5_relat_1(E,k3_hilbert3(A,k3_hilbert1(B,D))) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_partfun1(E,k3_hilbert3(A,k3_hilbert1(B,C))) & v1_funct_2(E,k3_hilbert3(A,k3_hilbert1(B,C)),k3_hilbert3(A,k3_hilbert1(B,D))) & v1_funcop_1(E) & v2_funcop_1(E) ) ) )).
fof(rc1_hilbert4,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_partit_2(A) ) )).
fof(rc1_hurwitz2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k1_complfld)) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_valued_0(A) & v1_polynom1(A,k1_complfld) & v1_hurwitz(A) ) )).
fof(rc1_ideal_1,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) ) )).
fof(rc1_incproj,axiom,( ? [A] : ( l1_incsp_1(A) & v1_incsp_1(A) & v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) ) )).
fof(rc1_incsp_1,axiom,( ? [A] : ( l1_incsp_1(A) & v1_incsp_1(A) ) )).
fof(rc1_index_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) ) )).
fof(rc1_instalg1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) ) )).
fof(rc1_int_1,axiom,( ? [A] : ( v1_xxreal_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) ) )).
fof(rc1_int_2,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_finset_1(A) & v1_card_1(A) & v1_int_2(A) ) )).
fof(rc1_int_3,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v36_algstr_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v1_vectsp_2(A) & v1_int_3(A) ) )).
fof(rc1_int_6,axiom,( ? [A] : ( v1_relat_1(A) & ~ v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc1_integr1c,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k1_numbers) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & v1_valued_0(A) & v1_integr1c(A) ) )).
fof(rc1_integra2,axiom,( ? [A] : ( m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v7_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_interva1(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_intpro_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v7_intpro_1(A) ) )).
fof(rc1_isomichi,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v7_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v2_tdlat_3(A) ) )).
fof(rc1_jordan,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v4_funct_1(B) & v3_pre_topc(B,k15_euclid(A)) & v4_pre_topc(B,k15_euclid(A)) & ~ v9_rltopsp1(B,k15_euclid(A)) & v1_convex1(B,k15_euclid(A)) ) ) )).
fof(rc1_jordan10,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v4_funct_1(A) & v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) ) )).
fof(rc1_jordan1a,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(A) & v1_topreal2(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) ) )).
fof(rc1_jordan1g,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_zfmisc_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_jordan1h,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v2_setfam_1(A) ) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(A)) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_funcop_1(B) & v2_funcop_1(B) & v1_pre_poly(B) & v2_pre_poly(B) ) ) )).
fof(rc1_jordan1j,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & ~ v1_xboole_0(A) & ~ v1_zfmisc_1(A) & ~ v8_ordinal1(A) & v1_funct_1(A) & v2_funct_1(A) & ~ v3_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_topreal1(A) & v2_topreal1(A) & v3_topreal1(A) & v4_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) ) )).
fof(rc1_jordan21,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(A) & v4_pre_topc(A,k15_euclid(2)) & v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & v9_rltopsp1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & v1_topreal2(A) & v1_jordan21(A) ) )).
fof(rc1_jordan23,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v2_jordan23(A) ) )).
fof(rc1_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k3_pcomps_1(A))) & v5_relat_1(B,u1_struct_0(k3_pcomps_1(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(k3_pcomps_1(A))) & v1_funct_2(B,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(A))) & v2_funct_2(B,u1_struct_0(k3_pcomps_1(A))) & v1_jordan24(B,A) ) ) )).
fof(rc1_jordan2c,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v6_tbsp_1(B,A) ) ) )).
fof(rc1_jordan5a,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_pre_topc(B,k15_euclid(A)) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v6_pre_topc(B) & v7_pre_topc(B) & v8_pre_topc(B) & v1_compts_1(B) ) ) )).
fof(rc1_knaster,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,A,B) & v6_cohsp_1(C) ) ) )).
fof(rc1_kurato_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(rc1_kurato_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr)))) & v1_setfam_1(A) & v3_setfam_1(A,u1_struct_0(k3_topmetr)) ) )).
fof(rc1_lagra4sq,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_finset_1(A) & v1_card_1(A) & v1_xcmplx_0(A) & v1_lagra4sq(A) ) )).
fof(rc1_lang1,axiom,( ? [A] : ( l1_lang1(A) & v1_lang1(A) ) )).
fof(rc1_lattad_1,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v1_robbins3(A) & v2_robbins3(A) & v3_robbins3(A) ) )).
fof(rc1_lattice2,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v1_lattice2(A) ) )).
fof(rc1_lattice3,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) ) )).
fof(rc1_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v20_lattices(B,A) & v21_lattices(B,A) ) ) )).
fof(rc1_lattice5,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v19_waybel_0(C,A,B) & v20_waybel_0(C,A,B) ) ) )).
fof(rc1_lattice6,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) ) )).
fof(rc1_lattice7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v6_orders_2(B,A) ) ) )).
fof(rc1_latticea,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v17_lattices(A) ) )).
fof(rc1_lattices,axiom,( ? [A] : ( l1_lattices(A) & v1_lattices(A) ) )).
fof(rc1_lexbfs,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k4_ordinal1))) & ~ v1_xboole_0(A) & v1_finset_1(A) & v5_finset_1(A) ) )).
fof(rc1_lfuzzy_0,axiom,( ? [A] : ( l1_orders_2(A) & v1_orders_2(A) & v2_lfuzzy_0(A) ) )).
fof(rc1_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v5_relat_1(B,k1_numbers) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_lfuzzy_1(B,A) & v2_lfuzzy_1(B,A) & v3_lfuzzy_1(B,A) & v4_lfuzzy_1(B,A) ) ) )).
fof(rc1_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_lmod_7(C,A,B) ) => ? [D] : ( m1_subset_1(D,C) & ~ v2_struct_0(D) & v13_algstr_0(D) & v7_vectsp_1(D,A) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) ) ) )).
fof(rc1_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) ) ) )).
fof(rc1_lopban_2,axiom,( ? [A] : ( l1_normsp_1(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v14_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v9_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) ) )).
fof(rc1_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_lopban_3(B,A) ) ) )).
fof(rc1_lopclset,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v17_lattices(A) ) )).
fof(rc1_lpspacc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v1_lpspacc1(B,A) ) ) )).
fof(rc1_lpspace1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v1_lpspace1(B,A) ) ) )).
fof(rc1_lpspace2,axiom,( ? [A] : ( v1_xxreal_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_lpspace2(A) ) )).
fof(rc1_ltlaxio3,axiom,( ? [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & ~ v2_ltlaxio3(A) & v3_ltlaxio3(A) ) )).
fof(rc1_ltlaxio4,axiom,( ! [A] : ? [B] : ( m1_finseq_2(B,A) & ~ v1_xboole_0(B) & v4_funct_1(B) & v1_finset_1(B) & v3_finseq_1(B) ) )).
fof(rc1_margrel1,axiom,( ? [A] : ( v3_finseq_1(A) & v2_card_3(A) ) )).
fof(rc1_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(k1_numbers)) & v1_funct_1(B) & v1_finseq_1(B) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & v1_matrix10(B) & v4_matrix10(B) ) ) )).
fof(rc1_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(A,2)),k2_finseq_1(k1_nat_1(A,2))))) & v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(k1_nat_1(A,2))) & v5_relat_1(B,k2_finseq_1(k1_nat_1(A,2))) & v1_funct_1(B) & v2_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k2_finseq_1(k1_nat_1(A,2))) & v1_funct_2(B,k2_finseq_1(k1_nat_1(A,2)),k2_finseq_1(k1_nat_1(A,2))) & v2_funct_2(B,k2_finseq_1(k1_nat_1(A,2))) & v3_funct_2(B,k2_finseq_1(k1_nat_1(A,2)),k2_finseq_1(k1_nat_1(A,2))) & v1_finset_1(B) & ~ v6_matrix_1(B,k1_nat_1(A,2)) ) ) )).
fof(rc1_matrix13,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(A) ) )).
fof(rc1_matrix_0,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v2_pre_poly(A) & v1_matrix_0(A) ) )).
fof(rc1_matrix_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ? [C] : ( m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k3_finseq_2(u1_struct_0(B))) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v1_matrix_1(C,B) ) ) )).
fof(rc1_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k5_finsub_1(k9_matrix_1(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) ) ) )).
fof(rc1_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(k3_finseq_2(A))) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_matrixj1(B,A) ) ) )).
fof(rc1_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_funcop_1(B) & v2_funcop_1(B) & v1_matrixj2(B,A) ) ) )).
fof(rc1_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) ) ) )).
fof(rc1_matrprob,axiom,( ? [A] : ( m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_matrprob(A) ) )).
fof(rc1_matrtop1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k3_finseq_2(u1_struct_0(B))) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v1_matrix_6(C,A,B) ) ) )).
fof(rc1_matrtop3,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v2_funcop_1(B) & v1_matrtop3(B,A) ) )).
fof(rc1_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_mazurulm(B,A,A) & v2_mazurulm(B,A,A) & v3_mazurulm(B,A,A) ) ) )).
fof(rc1_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_relat_1(C) & v4_relat_1(C,B) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,B) & v1_funct_2(C,B,k6_numbers) & v2_valued_0(C) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) ) ) )).
fof(rc1_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_measure2(C,A,B) & ~ v1_xboole_0(C) & v4_card_3(C) & v1_measure2(C,A,B) ) ) )).
fof(rc1_measure5,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v1_measure5(A) ) )).
fof(rc1_measure6,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v6_xxreal_2(A) ) )).
fof(rc1_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_funct_2(C,k4_ordinal1,B) & v1_prob_2(C) ) ) )).
fof(rc1_membered,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v6_membered(A) ) )).
fof(rc1_memstr_0,axiom,( ! [A] : ? [B] : ( l1_memstr_0(B,A) & v1_memstr_0(B,A) ) )).
fof(rc1_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v6_supinf_2(B) ) ) )).
fof(rc1_mesfunc2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_finseq_1(C,B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v1_prob_2(C) ) ) )).
fof(rc1_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v2_valued_0(B) & v6_supinf_2(B) ) ) )).
fof(rc1_mesfunc8,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k4_partfun1(A,B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & v1_mesfunc8(C,A,B) ) )).
fof(rc1_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k4_partfun1(A,k6_numbers)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & v2_mesfunc9(B,A) ) ) )).
fof(rc1_metric_1,axiom,( ? [A] : ( l1_metric_1(A) & v1_metric_1(A) ) )).
fof(rc1_metrizts,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_pcomps_1(A) & v1_metrizts(A) ) )).
fof(rc1_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_pre_topc(B) & ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) ) ) )).
fof(rc1_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v4_funct_1(B) & v1_mfold_1(B,A) ) ) )).
fof(rc1_midsp_1,axiom,( ? [A] : ( l1_midsp_1(A) & v1_midsp_1(A) ) )).
fof(rc1_midsp_2,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v8_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_midsp_2(A) ) )).
fof(rc1_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_midsp_3(B,A) & v1_midsp_3(B,A) ) ) )).
fof(rc1_mmlquer2,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) ) )).
fof(rc1_mmlquery,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_mmlquery(B,A) ) )).
fof(rc1_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_mod_2(B,A) & v2_mod_2(B,A) ) ) )).
fof(rc1_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(B,A,A) ) ) )).
fof(rc1_modal_1,axiom,( ? [A] : ( m1_subset_1(A,k6_modal_1) & v1_relat_1(A) & v5_relat_1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v1_modal_1(A) ) )).
fof(rc1_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => ? [C] : ( m1_subset_1(C,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) ) ) )).
fof(rc1_modelc_1,axiom,( ? [A] : ( m1_finseq_1(A,k4_ordinal1) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finseq_1(A) & v1_modelc_1(A) ) )).
fof(rc1_modelc_2,axiom,( ? [A] : ( m1_finseq_1(A,k4_ordinal1) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_modelc_2(A) ) )).
fof(rc1_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ? [B] : ( l1_modelc_3(B,A) & v1_modelc_3(B,A) ) ) )).
fof(rc1_moebius1,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & ~ v1_int_2(A) & v1_finset_1(A) & v1_card_1(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_rat_1(A) ) )).
fof(rc1_moebius2,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_finset_1(A) & v1_card_1(A) & v1_int_1(A) & v2_int_1(A) & ~ v1_moebius1(A) ) )).
fof(rc1_monoid_0,axiom,( ? [A] : ( l1_struct_0(A) & v1_monoid_0(A) ) )).
fof(rc1_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v2_msafree(B,A) ) ) )).
fof(rc1_msafree1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_prob_2(B) ) )).
fof(rc1_msafree2,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msafree2(A) ) )).
fof(rc1_msafree4,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v2_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v6_trees_3(A) & v4_card_3(A) ) )).
fof(rc1_msafree5,axiom,( ! [A] : ! [B] : ( ~ v1_zfmisc_1(A) => ? [C] : ( m1_subset_1(C,A) & v1_msafree5(C,B) ) ) )).
fof(rc1_msalimit,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_msalimit(C,A,B) ) => ? [D] : ( m2_msalimit(D,A,B,C) & v1_relat_1(D) & v4_relat_1(D,u1_orders_2(A)) & v1_funct_1(D) & v1_partfun1(D,u1_orders_2(A)) & v1_funcop_1(D) & v2_funcop_1(D) & v1_msalimit(D,A,B,C) ) ) )).
fof(rc1_msinst_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v1_msualg_6(B,A) ) ) )).
fof(rc1_msscyc_1,axiom,( ? [A] : ( l1_graph_1(A) & ~ v2_struct_0(A) & v11_struct_0(A) & v14_struct_0(A) ) )).
fof(rc1_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m3_pboole(C,A,B) & v1_relat_1(C) & v3_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) ) )).
fof(rc1_msualg_1,axiom,( ? [A] : ( l1_msualg_1(A) & v1_msualg_1(A) ) )).
fof(rc1_msualg_2,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msualg_1(A) & v2_msualg_2(A) ) )).
fof(rc1_msualg_3,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v2_funcop_1(B) & v1_msualg_3(B) ) )).
fof(rc1_msualg_4,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_funcop_1(B) ) )).
fof(rc1_msualg_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m1_msualg_4(C,A,B,B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_funcop_1(C) & v1_msualg_4(C,A,B) ) ) )).
fof(rc1_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v4_msualg_1(B,A) ) ) )).
fof(rc1_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ? [B] : ( m2_nat_lat(B,A) & ~ v2_struct_0(B) & v4_lattices(B) & v5_lattices(B) & v6_lattices(B) & v7_lattices(B) & v8_lattices(B) & v9_lattices(B) & v10_lattices(B) & v4_lattice3(B) ) ) )).
fof(rc1_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m1_subset_1(C,k6_closure2(A,B)) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) ) )).
fof(rc1_mycielsk,axiom,( ! [A] : ? [B] : ( m1_eqrel_1(B,A) & ~ v10_ordinal1(B) & v1_finset_1(B) & v1_setfam_1(B) ) )).
fof(rc1_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_nagata_1(B,A) ) ) )).
fof(rc1_nat_1,axiom,( ? [A] : v7_ordinal1(A) )).
fof(rc1_nat_2,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & ~ v1_zfmisc_1(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) ) )).
fof(rc1_nat_3,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_valued_0(A) & v2_pre_poly(A) ) )).
fof(rc1_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & v7_ordinal1(B) & v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v2_int_1(B) & ~ v1_abian(B) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) & v1_nat_6(B,A) ) ) )).
fof(rc1_nat_lat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ? [B] : ( m2_nat_lat(B,A) & ~ v2_struct_0(B) & v3_lattices(B) & v4_lattices(B) & v5_lattices(B) & v6_lattices(B) & v7_lattices(B) & v8_lattices(B) & v9_lattices(B) & v10_lattices(B) ) ) )).
fof(rc1_nattra_1,axiom,( ? [A] : ( l1_cat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) ) )).
fof(rc1_ncfcont2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v3_clopban1(A) & l2_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ncfcont2(B,A) ) ) )).
fof(rc1_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v12_struct_0(B,k4_ordinal1,A) & v1_ndiff_1(B,A,k4_struct_0(A)) ) ) )).
fof(rc1_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k1_numbers) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_ndiff_3(B,A) ) ) )).
fof(rc1_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_relat_1(B) & v4_relat_1(B,k1_numbers) & v5_relat_1(B,k1_euclid(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k1_numbers) & v1_funct_2(B,k1_numbers,k1_euclid(A)) & v1_funcop_1(B) & v7_valued_2(B) & v8_valued_2(B) & v9_valued_2(B) & v1_ndiff_4(B,A) ) ) )).
fof(rc1_ndiff_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k7_prvect_3(A,B))) & v5_relat_1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & ~ v1_xboole_0(C) & v1_funct_1(C) & v2_funct_1(C) & v1_partfun1(C,u1_struct_0(k7_prvect_3(A,B))) & v1_funct_2(C,u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v13_vectsp_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_lopban_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_mazurulm(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) ) ) )).
fof(rc1_neckla_2,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v1_orders_2(A) & v1_neckla_2(A) ) )).
fof(rc1_neckla_3,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v1_orders_2(A) & v1_necklace(A) & v3_necklace(A) ) )).
fof(rc1_necklace,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_necklace(A) ) )).
fof(rc1_net_1,axiom,( ? [A] : ( l1_petri(A) & v1_petri(A) & v1_net_1(A) ) )).
fof(rc1_newton,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_int_2(A) & v1_finset_1(A) & v1_card_1(A) & v1_rat_1(A) ) )).
fof(rc1_nfcont_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_nfcont_2(B,A) ) ) )).
fof(rc1_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k1_numbers) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_nfcont_3(B,A) ) ) )).
fof(rc1_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_relat_1(B) & v4_relat_1(B,k1_numbers) & v5_relat_1(B,k1_euclid(A)) & v1_funct_1(B) & v1_funcop_1(B) & v7_valued_2(B) & v8_valued_2(B) & v9_valued_2(B) & v1_nfcont_4(B,A) ) ) )).
fof(rc1_normsp_1,axiom,( ? [A] : ( l1_normsp_1(A) & v1_normsp_1(A) ) )).
fof(rc1_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_nfcont_1(B,A) & v3_nfcont_1(B,A) ) ) )).
fof(rc1_numpoly1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_ec_pf_2(A,4) ) )).
fof(rc1_openlatt,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v1_lattice2(A) & v3_filter_0(A) ) )).
fof(rc1_oposet_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v2_relat_2(B) & v5_relat_2(B) & v8_relat_2(B) ) )).
fof(rc1_ordeq_01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k9_rsspace4(A,B)))) & v2_nfcont_1(C,k9_rsspace4(A,B)) ) ) )).
fof(rc1_orders_2,axiom,( ? [A] : ( l1_orders_2(A) & v1_orders_2(A) ) )).
fof(rc1_orders_3,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_orders_3(A) ) )).
fof(rc1_orders_4,axiom,( ? [A] : ( m1_orders_4(A) & ~ v2_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) )).
fof(rc1_ordinal1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) ) )).
fof(rc1_ordinal2,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v4_ordinal1(A) ) )).
fof(rc1_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( m1_subset_1(B,A) & v3_ordinal1(B) ) ) )).
fof(rc1_ordinal5,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_finset_1(A) ) )).
fof(rc1_ordinal6,axiom,( ? [A] : v1_ordinal6(A) )).
fof(rc1_osafree,axiom,( ? [A] : ( l3_osalg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) ) )).
fof(rc1_osalg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v12_osalg_1(C,A) & v13_osalg_1(C,A) ) ) )).
fof(rc1_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_funcop_1(B) & v11_osalg_1(B,A) ) ) )).
fof(rc1_parsp_1,axiom,( ? [A] : ( l1_parsp_1(A) & v1_parsp_1(A) ) )).
fof(rc1_partfun1,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) ) )).
fof(rc1_partfun3,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v2_partfun3(B) ) )).
fof(rc1_partfun4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_pscomp_1(B,A) & v1_partfun3(B) ) ) )).
fof(rc1_pboole,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) )).
fof(rc1_pcomps_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v2_pcomps_1(A) ) )).
fof(rc1_pdiff_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) & v1_relat_1(C) & v4_relat_1(C,k1_euclid(B)) & v5_relat_1(C,k1_euclid(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,k1_euclid(B)) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & v1_funcop_1(C) & v7_valued_2(C) & v8_valued_2(C) & v9_valued_2(C) & v1_pdiff_6(C,A,B) & v2_pdiff_6(C,A,B) ) ) )).
fof(rc1_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) ) ) )).
fof(rc1_petri,axiom,( ? [A] : ( l1_petri(A) & v1_petri(A) ) )).
fof(rc1_petri_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) ) ) )).
fof(rc1_petri_df,axiom,( ? [A] : ( l1_petri(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v4_petri_df(A) ) )).
fof(rc1_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_polyalg1(B,A) & v1_polyalg1(B,A) ) ) )).
fof(rc1_polynom2,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) ) )).
fof(rc1_polynom4,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) ) )).
fof(rc1_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_polynom5(B,A) ) ) )).
fof(rc1_polynom7,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v1_algstr_1(A) ) )).
fof(rc1_polyred,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & l2_struct_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k15_pre_poly(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,k15_pre_poly(A)) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(C,A,B) & v3_polynom7(C,A,B) & v1_polynom1(C,B) ) ) )).
fof(rc1_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v6_orders_2(B,A) ) ) )).
fof(rc1_poset_2,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_2(A) ) )).
fof(rc1_pralg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k3_finseq_2(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v4_card_3(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc1_pre_circ,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) )).
fof(rc1_pre_poly,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k3_finseq_2(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_xboole_0(B) & v1_finset_1(B) & v4_card_3(B) & v1_finseq_1(B) & v2_finseq_1(B) ) )).
fof(rc1_pre_topc,axiom,( ? [A] : ( l1_pre_topc(A) & v1_pre_topc(A) ) )).
fof(rc1_prefer_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_partfun1(B,A) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v3_orders_1(B) ) )).
fof(rc1_prepower,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc1_prob_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) ) )).
fof(rc1_prob_3,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v2_prob_3(B,A) & v3_prob_3(B,A) ) )).
fof(rc1_prob_4,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & v1_prob_2(B) ) )).
fof(rc1_prvect_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v4_card_3(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_prvect_1(A) ) )).
fof(rc1_prvect_2,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_card_3(A) & v1_prvect_2(A) ) )).
fof(rc1_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_comseq_2(B) ) ) )).
fof(rc1_pua2mss1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k4_partfun1(k3_finseq_2(A),A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v4_card_3(B) & v4_margrel1(B,A) & v5_margrel1(B,A) ) ) )).
fof(rc1_pythtrip,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_abian(A) & v1_pythtrip(A) ) )).
fof(rc1_qc_lang1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_qc_lang1(B) ) => ? [C] : ( m1_finseq_1(C,k2_qc_lang1(B)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k2_qc_lang1(B)) & v1_funct_1(C) & v1_finset_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_finseq_1(C) ) ) )).
fof(rc1_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ( m1_qc_lang1(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_qc_trans(B,A) ) ) )).
fof(rc1_qmax_1,axiom,( ? [A] : ( l1_qmax_1(A) & v1_qmax_1(A) ) )).
fof(rc1_quaterni,axiom,( ? [A] : v1_quaterni(A) )).
fof(rc1_quofield,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) ) )).
fof(rc1_random_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_random_1(C,A,B) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,k1_numbers) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,A) & v1_funct_2(C,A,k1_numbers) & v1_valued_0(C) & v2_valued_0(C) & v3_valued_0(C) & v6_supinf_2(C) ) ) )).
fof(rc1_random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(E) & v4_relat_1(E,A) & v5_relat_1(E,B) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_partfun1(E,A) & v1_funct_2(E,A,B) & v1_random_3(E,A,B,C,D) ) ) )).
fof(rc1_ranknull,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) & v2_vectsp_7(C,A,B) ) ) )).
fof(rc1_rat_1,axiom,( ? [A] : ( v1_xxreal_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_rat_1(A) ) )).
fof(rc1_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l2_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) ) ) )).
fof(rc1_rcomp_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v3_rcomp_1(A) ) )).
fof(rc1_rcomp_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v3_rcomp_1(A) & v5_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc1_real_1,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc1_real_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v5_relat_1(A,k4_numbers) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc1_realset2,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v36_algstr_0(A) & v3_rlvect_1(A) ) )).
fof(rc1_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k1_zfmisc_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) ) ) )).
fof(rc1_relat_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) ) )).
fof(rc1_relset_1,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) ) )).
fof(rc1_revrot_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v3_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_finseq_6(B,A) ) ) )).
fof(rc1_rewrite1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v10_rewrite1(A) ) )).
fof(rc1_rewrite2,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_rewrite2(A) ) )).
fof(rc1_rewrite3,axiom,( ! [A] : ? [B] : ( l1_rewrite3(B,A) & v1_rewrite3(B,A) ) )).
fof(rc1_rfinseq,axiom,( ? [A] : ( m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v8_valued_0(A) ) )).
fof(rc1_rfunct_2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k1_numbers) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_zfmisc_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc1_rfunct_3,axiom,( ! [A] : ! [B] : ? [C] : ( m1_rfunct_3(C,A,B) & ~ v1_xboole_0(C) ) )).
fof(rc1_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & v4_ring_1(B,A) ) ) )).
fof(rc1_ring_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,A) & v1_ring_2(B,A) & v2_ring_2(B,A) ) ) )).
fof(rc1_ringcat1,axiom,( ? [A] : ( l1_ringcat1(A) & v2_ringcat1(A) ) )).
fof(rc1_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_card_1(B,1) & v1_rlaffin1(B,A) ) ) )).
fof(rc1_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_rlsub_1(B,A) & ~ v2_struct_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v14_algstr_0(B) & v1_rlvect_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v9_rlvect_1(B) ) ) )).
fof(rc1_rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ? [C] : ( m1_rlsub_2(C,A,B) & ~ v2_struct_0(C) & v12_algstr_0(C) & v13_algstr_0(C) & v1_rlvect_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v9_rlvect_1(C) ) ) )).
fof(rc1_rltopsp1,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) ) )).
fof(rc1_rlvect_1,axiom,( ? [A] : ( l1_rlvect_1(A) & v1_rlvect_1(A) ) )).
fof(rc1_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_rlvect_3(B,A) ) ) )).
fof(rc1_rlvect_5,axiom,( ? [A] : ( l1_rlvect_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v1_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_rlvect_5(A) ) )).
fof(rc1_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finset_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v2_finseq_1(C) ) ) )).
fof(rc1_rmod_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ? [C] : ( m1_rmod_2(C,A,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_vectsp_2(C,A) & v4_vectsp_2(C,A) ) ) )).
fof(rc1_robbins2,axiom,( ? [A] : ( l2_robbins1(A) & ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v1_robbins2(A) ) )).
fof(rc1_robbins4,axiom,( ? [A] : ( l4_robbins1(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v17_lattices(A) & v10_robbins1(A) & v1_robbins3(A) & v2_robbins3(A) & v3_robbins3(A) & v8_robbins3(A) & v9_robbins3(A) & v1_robbins4(A) ) )).
fof(rc1_roughs_1,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & ~ v1_roughs_1(A) ) )).
fof(rc1_roughs_2,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_yellow_3(A) ) )).
fof(rc1_roughs_4,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v4_roughs_4(B,A) ) )).
fof(rc1_rsspace4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,u1_struct_0(B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funct_2(C,A,u1_struct_0(B)) & v1_rsspace4(C,A,B) ) ) )).
fof(rc1_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : ( m1_rusub_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v1_bhsp_1(B) & v2_bhsp_1(B) ) ) )).
fof(rc1_rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ? [C] : ( m1_rusub_2(C,A,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v1_bhsp_1(C) & v2_bhsp_1(C) ) ) )).
fof(rc1_rusub_4,axiom,( ? [A] : ( l1_bhsp_1(A) & ~ v2_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v9_rlvect_1(A) & v1_bhsp_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) ) )).
fof(rc1_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v4_valued_0(B) & v1_finset_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc1_rvsum_3,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_partfun3(A) ) )).
fof(rc1_scm_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( m1_scm_1(C,A) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) & v5_memstr_0(C,k5_card_1(2),k1_ami_3,B) ) ) )).
fof(rc1_scm_halt,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v4_card_3(A) & v1_afinsq_1(A) & v2_pre_poly(A) & v1_scm_halt(A) ) )).
fof(rc1_scmfsa6a,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v5_ordinal1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmfsa_2) ) )).
fof(rc1_scmfsa6b,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v5_ordinal1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v2_pre_poly(A) & v1_scmfsa6b(A) ) )).
fof(rc1_scmfsa6c,axiom,( ? [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_amistd_2(A,k5_card_1(3),k1_scmfsa_2) & v3_amistd_2(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6c(A) ) )).
fof(rc1_scmfsa7b,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(A) ) )).
fof(rc1_scmfsa8a,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmfsa_2) & v1_scmfsa7b(A) ) )).
fof(rc1_scmfsa8c,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_afinsq_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scmfsa6b(A) & v1_scmfsa7b(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) )).
fof(rc1_scmfsa_2,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(A) ) )).
fof(rc1_scmfsa_m,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(A) & ~ v1_scmfsa_m(A) ) )).
fof(rc1_scmpds_2,axiom,( ? [A] : ( m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(A) ) )).
fof(rc1_scmpds_4,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v4_card_3(A) & v1_afinsq_1(A) & v2_pre_poly(A) & v2_scmpds_4(A) ) )).
fof(rc1_scmpds_5,axiom,( ? [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v6_compos_0(A,u1_compos_1(k1_scmpds_2)) & v4_scmpds_4(A) & v1_scmpds_5(A) ) )).
fof(rc1_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(B) ) ) )).
fof(rc1_scmyciel,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v2_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_semi_af1,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & v1_semi_af1(A) ) )).
fof(rc1_seq_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v9_ordinal1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc1_seq_4,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v3_xxreal_2(A) & v4_xxreal_2(A) ) )).
fof(rc1_seqm_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v5_valued_0(A) ) )).
fof(rc1_setfam_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_setfam_1(A) ) )).
fof(rc1_setwiseo,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k5_finsub_1(A)) & v1_xboole_0(B) & v1_finset_1(B) ) )).
fof(rc1_sfmastr1,axiom,( ? [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v1_amistd_2(A,k5_card_1(3),k1_scmfsa_2) & v3_amistd_2(A,k5_card_1(3),k1_scmfsa_2) & v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_sfmastr1(A) ) )).
fof(rc1_sgraph1,axiom,( ? [A] : ( l1_sgraph1(A) & v1_sgraph1(A) ) )).
fof(rc1_sheffer1,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v8_struct_0(A) & v13_struct_0(A,1) & v10_lattices(A) & v17_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) ) )).
fof(rc1_sheffer2,axiom,( ? [A] : ( l1_sheffer1(A) & ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & v1_sheffer2(A) ) )).
fof(rc1_simplex0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v2_setfam_1(B) & v1_finset_1(B) & v5_finset_1(B) & v1_classes1(B) ) ) )).
fof(rc1_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_simplex0(B,u1_struct_0(A)) ) => ? [C] : ( m1_simplex1(C,A,B) & v1_matroid0(C) & v3_matroid0(C) ) ) )).
fof(rc1_simplex2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ? [C] : ( m1_simplex0(C,B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & v1_simplex2(C,A) ) ) )).
fof(rc1_sppol_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(A) & v4_funct_1(A) & v2_compts_1(A,k15_euclid(2)) & v1_sppol_1(A) ) )).
fof(rc1_sppol_2,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_topreal1(A) ) )).
fof(rc1_sprect_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & ~ v1_xboole_0(A) & v1_funct_1(A) & v3_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_sprect_2,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & ~ v1_xboole_0(A) & ~ v1_zfmisc_1(A) & ~ v8_ordinal1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) ) )).
fof(rc1_sprect_3,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v1_sprect_1(A) ) )).
fof(rc1_srings_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_srings_1(B,A) ) )).
fof(rc1_stacks_1,axiom,( ? [A] : ( l1_stacks_1(A) & v1_stacks_1(A) ) )).
fof(rc1_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ( m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) & v1_sublemma(B,A) ) ) )).
fof(rc1_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_substlat,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_substlat(A,B)) & ~ v1_xboole_0(C) ) )).
fof(rc1_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ( m1_subset_1(B,k1_substut1(A)) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) ) ) )).
fof(rc1_supinf_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v1_setfam_1(B) ) ) )).
fof(rc1_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_symsp_1(B,A) & v1_symsp_1(B,A) ) ) )).
fof(rc1_t_0topsp,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) ) )).
fof(rc1_t_1topsp,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) ) )).
fof(rc1_taxonom1,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc1_taxonom2,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_taxonom2(A) & v2_taxonom2(A) ) )).
fof(rc1_tbsp_1,axiom,( ? [A] : ( l1_metric_1(A) & ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & v11_metric_1(A) & v5_tbsp_1(A) ) )).
fof(rc1_tdgroup,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v8_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) ) )).
fof(rc1_tdlat_3,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v1_tdlat_3(A) & v2_tdlat_3(A) ) )).
fof(rc1_termord,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v7_struct_0(A) ) )).
fof(rc1_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & v13_struct_0(A,1) & v1_pre_topc(A) ) )).
fof(rc1_tex_2,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_zfmisc_1(B) & v1_subset_1(B,A) ) ) )).
fof(rc1_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tex_3(B,A) ) ) )).
fof(rc1_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v4_tex_4(B,A) ) ) )).
fof(rc1_tietze,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v3_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_series_1(A) & v2_comseq_2(A) ) )).
fof(rc1_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v4_funct_1(B) & v1_convex1(B,k15_euclid(A)) & ~ v2_tops_1(B,k15_euclid(A)) & v2_compts_1(B,k15_euclid(A)) & v1_valued_2(B) & v2_valued_2(B) & v3_valued_2(B) ) ) )).
fof(rc1_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [C] : ( m1_toler_1(C,A,B) & v1_toler_1(C,A,B) ) ) )).
fof(rc1_topalg_2,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(B) & v1_convex1(B,k15_euclid(A)) ) ) )).
fof(rc1_topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_borsuk_2(C,A,B,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k5_topmetr)) & v5_relat_1(C,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v3_funct_1(C) & v1_partfun1(C,u1_struct_0(k5_topmetr)) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(A)) & v5_pre_topc(C,k5_topmetr,A) ) ) )).
fof(rc1_topalg_7,axiom,( ! [A] : ( ( v1_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v1_topalg_7(B,A) ) ) )).
fof(rc1_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v2_topdim_1(B,A) ) ) )).
fof(rc1_topdim_2,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_topdim_2(B,A) ) )).
fof(rc1_topgen_1,axiom,( ? [A] : ( l1_struct_0(A) & ~ v2_struct_0(A) & v1_orders_4(A) ) )).
fof(rc1_topgen_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_tops_2(B,A) ) ) )).
fof(rc1_topgen_4,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ~ v4_card_3(A) ) )).
fof(rc1_topgrp_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_funct_1(B) & v2_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v2_funct_2(B,A) ) )).
fof(rc1_topmetr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( m1_topmetr(B,A) & v1_metric_1(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) ) ) )).
fof(rc1_topreal2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v4_funct_1(A) & ~ v1_xboole_0(A) & v1_topreal2(A) ) )).
fof(rc1_topreal6,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(A) & v1_convex1(A,k15_euclid(2)) ) )).
fof(rc1_topreal8,axiom,( ? [A] : ( v1_zfmisc_1(A) & v1_relat_1(A) & v1_funct_1(A) ) )).
fof(rc1_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v5_pre_topc(B,k15_euclid(A),k15_euclid(A)) & v13_vectsp_1(B,k15_euclid(A),k15_euclid(A)) & v1_topreal9(B,A) ) ) )).
fof(rc1_topreala,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v2_monoid_0(A) ) )).
fof(rc1_toprealb,axiom,( ? [A] : ( m1_pre_topc(A,k15_euclid(2)) & v1_pre_topc(A) & v2_pre_topc(A) & v1_monoid_0(A) & v2_monoid_0(A) & v1_toprealb(A) ) )).
fof(rc1_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) ) ) )).
fof(rc1_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(B,A) ) ) )).
fof(rc1_transgeo,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & v1_analoaf(A) & v1_transgeo(A) ) )).
fof(rc1_trees_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_trees_1(A) ) )).
fof(rc1_trees_2,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_2(A) ) )).
fof(rc1_trees_3,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_3(A) & v2_trees_3(A) ) )).
fof(rc1_trees_9,axiom,( ? [A] : ( v1_relat_1(A) & v1_zfmisc_1(A) & v1_funct_1(A) & v3_trees_2(A) ) )).
fof(rc1_trees_a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : ( m4_trees_1(B,A) & ~ v1_xboole_0(B) & v2_trees_1(B) ) ) )).
fof(rc1_tsep_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) ) ) )).
fof(rc1_tsp_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v6_pre_topc(A) ) )).
fof(rc1_turing_1,axiom,( ? [A] : ( l1_turing_1(A) & v1_turing_1(A) ) )).
fof(rc1_unialg_1,axiom,( ? [A] : ( l1_unialg_1(A) & v1_unialg_1(A) ) )).
fof(rc1_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : ( m1_unialg_2(B,A) & ~ v2_struct_0(B) & v1_unialg_1(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) ) ) )).
fof(rc1_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : ( m1_unialg_3(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_uniroots,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) ) )).
fof(rc1_uproots,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l2_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) ) ) )).
fof(rc1_valued_0,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) ) )).
fof(rc1_valued_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc1_valued_2,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v6_valued_2(A) ) )).
fof(rc1_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v7_struct_0(B) ) ) )).
fof(rc1_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) ) ) )).
fof(rc1_vectsp_1,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v8_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) )).
fof(rc1_vectsp_2,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v36_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) ) )).
fof(rc1_vectsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_vectsp_4(C,A,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) ) ) )).
fof(rc1_vectsp_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) & v1_vectsp_7(C,A,B) ) ) )).
fof(rc1_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_vectsp_8(C,A,B) & ~ v1_xboole_0(C) ) ) )).
fof(rc1_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_waybel10,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) ) ) )).
fof(rc1_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_waybel_0(B,A) ) ) )).
fof(rc1_waybel12,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_waybel12(C,A,B) & ~ v1_xboole_0(C) ) ) )).
fof(rc1_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & v14_waybel_0(B,A) ) ) )).
fof(rc1_waybel18,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_waybel18(B) ) )).
fof(rc1_waybel19,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_9(A) & ~ v1_yellow_3(A) & v1_waybel19(A) ) )).
fof(rc1_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v22_waybel_0(B,A,A) & v8_waybel_1(B,A) ) ) )).
fof(rc1_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_0(B,A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v4_yellow_0(B,A) & v5_yellow_0(B,A) & v7_yellow_0(B,A) & v3_waybel_0(B,A) & v4_waybel_0(B,A) & v2_lattice3(B) & v3_lattice3(B) ) ) )).
fof(rc1_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v3_waybel23(B,A) & v4_waybel23(B,A) ) ) )).
fof(rc1_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_waybel_0(C,A,B) ) ) )).
fof(rc1_waybel25,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_waybel18(A) ) )).
fof(rc1_waybel26,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_waybel18(A) & v1_waybel25(A) ) )).
fof(rc1_waybel27,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_waybel27(A) & v2_waybel27(A) & v3_waybel27(A) ) )).
fof(rc1_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_waybel_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_waybel28(B,A) ) ) )).
fof(rc1_waybel29,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v4_waybel11(A) & v3_waybel_3(A) & ~ v1_yellow_3(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) )).
fof(rc1_waybel30,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A) & v24_waybel_0(A) & v25_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_9(A) & v4_waybel11(A) & v3_waybel_3(A) & ~ v1_yellow_3(A) & v2_waybel_2(A) ) )).
fof(rc1_waybel31,axiom,( ? [A] : ( l1_orders_2(A) & v8_struct_0(A) & v13_struct_0(A,1) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc1_waybel33,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_waybel_3(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel33(A) ) )).
fof(rc1_waybel34,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ? [C] : ( m1_waybel_1(C,A,B) & v3_waybel_1(C,A,B) ) ) )).
fof(rc1_waybel35,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_waybel_4(B,A) ) ) )).
fof(rc1_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_waybel_0(B,A) & v2_waybel_0(B,A) ) ) )).
fof(rc1_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(B,A) ) ) )).
fof(rc1_waybel_2,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v13_struct_0(A,1) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & ~ v1_yellow_3(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc1_waybel_3,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & v16_waybel_0(A) ) )).
fof(rc1_waybel_4,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v5_waybel_4(B,A) ) ) )).
fof(rc1_waybel_5,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_waybel_5(A) ) )).
fof(rc1_waybel_6,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) ) )).
fof(rc1_waybel_7,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v11_waybel_1(A) & ~ v1_yellow_3(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc1_waybel_8,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v13_struct_0(A,1) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc1_waybel_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ? [C] : ( m2_yellow_6(C,A,B) & ~ v2_struct_0(C) & v4_orders_2(C) & v6_waybel_0(C,A) & v7_waybel_0(C) ) ) )).
fof(rc1_wellfnd1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & ~ v1_finset_1(A) & v1_card_1(A) & v1_card_5(A) ) )).
fof(rc1_xboole_0,axiom,( ? [A] : v1_xboole_0(A) )).
fof(rc1_xboolean,axiom,( ? [A] : v1_xboolean(A) )).
fof(rc1_xcmplx_0,axiom,( ? [A] : v1_xcmplx_0(A) )).
fof(rc1_xreal_0,axiom,( ? [A] : v1_xreal_0(A) )).
fof(rc1_xtuple_0,axiom,( ? [A] : v1_xtuple_0(A) )).
fof(rc1_xxreal_0,axiom,( ? [A] : v1_xxreal_0(A) )).
fof(rc1_xxreal_2,axiom,( ? [A] : ( v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A) & v6_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) & v2_xxreal_2(A) ) )).
fof(rc1_xxreal_3,axiom,( ? [A] : ( v1_xxreal_0(A) & v2_xxreal_0(A) & ~ v1_xreal_0(A) ) )).
fof(rc1_yellow11,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc1_yellow12,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ? [C] : ( m3_yellow_9(C,A,B) & v1_pre_topc(C) & v2_pre_topc(C) ) ) )).
fof(rc1_yellow13,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_yellow13(C,A,B) & ~ v1_xboole_0(C) ) ) )).
fof(rc1_yellow14,axiom,( ? [A] : ( l1_struct_0(A) & ~ v2_struct_0(A) & v1_monoid_0(A) ) )).
fof(rc1_yellow16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & v22_waybel_0(C,A,B) ) ) )).
fof(rc1_yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ? [C] : ( m1_yellow_6(C,A,B) & ~ v2_struct_0(C) & v6_waybel_0(C,A) & v7_waybel_0(C) & v2_yellow_6(C,A,B) ) ) )).
fof(rc1_yellow21,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v6_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v1_altcat_2(A) & v3_yellow21(A) ) )).
fof(rc1_yellow_0,axiom,( ? [A] : ( l1_orders_2(A) & v13_struct_0(A,1) & v1_orders_2(A) & v3_orders_2(A) ) )).
fof(rc1_yellow_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) )).
fof(rc1_yellow_3,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & ~ v1_yellow_3(A) ) )).
fof(rc1_yellow_6,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v2_pralg_1(A) ) )).
fof(rc1_yellow_7,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v8_struct_0(A) & v13_struct_0(A,1) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A) & v16_waybel_0(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_waybel_1(A) & v9_waybel_1(A) & v1_waybel_5(A) ) )).
fof(rc1_yellow_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(C,A) & v1_yellow_8(C,A,B) ) ) )).
fof(rc1_yellow_9,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_9(A) ) )).
fof(rc1_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( m1_subset_1(B,A) & v1_relat_1(B) ) ) )).
fof(rc1_zf_lang,axiom,( ? [A] : ( m1_finseq_1(A,k4_ordinal1) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_zf_lang(A) ) )).
fof(rc1_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( m1_subset_1(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_zfmisc_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) ) )).
fof(rc1_zmodul01,axiom,( ? [A] : ( l1_zmodul01(A) & v1_zmodul01(A) ) )).
fof(rc1_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_zmodul02(B,A) ) ) )).
fof(rc1_zmodul03,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) ) )).
fof(rc1_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ? [B] : ( m1_zmodul03(B,A) & v1_finset_1(B) ) ) )).
fof(rc1_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v1_zmodul06(B,A) ) ) )).
fof(rc20_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(A),A))) & v1_relat_1(C) & v4_relat_1(C,k13_finseq_1(A)) & v5_relat_1(C,A) & v1_funct_1(C) & ~ v1_xboole_0(C) & v2_margrel1(C) & v3_margrel1(C,A) & v8_comput_1(C,B) ) ) )).
fof(rc20_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) & l3_msualg_1(C,A) ) => ? [D] : ( l3_msualg_1(D,B) & v15_aofa_l00(D,A,B,C) ) ) )).
fof(rc20_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v2_comput_1(A) & v8_comput_1(A,k5_numbers) ) )).
fof(rc20_fomodel0,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & ~ v2_abian(A) ) )).
fof(rc20_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(B) & v7_fomodel4(B,A) & v15_fomodel4(B,A) ) ) )).
fof(rc20_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(B)) & v18_msafree5(E,A,B,C) & m1_finseq_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ? [F] : ( m1_finseq_1(F,k3_card_3(B)) & ~ v1_xboole_0(F) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,k3_card_3(B)) & v1_funct_1(F) & v2_funct_1(F) & v1_finset_1(F) & v1_finseq_1(F) & v2_finseq_1(F) & v4_card_3(F) & v17_msafree5(F,A,B,C) & v20_msafree5(F,A,B,C,D) & v22_msafree5(F,A,B,C,E) ) ) )).
fof(rc20_scmyciel,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v10_ordinal1(A) & v5_finset_1(A) & v2_finsub_1(A) & ~ v1_setfam_1(A) & v1_classes1(A) & ~ v1_scmyciel(A) & v3_scmyciel(A,1) & v4_scmyciel(A) & v12_scmyciel(A) ) )).
fof(rc20_struct_0,axiom,( ? [A] : ( l2_struct_0(A) & ~ v2_struct_0(A) & v7_struct_0(A) ) )).
fof(rc21_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v17_aofa_a00(B,A) ) ) )).
fof(rc21_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) & v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ? [D] : ( l3_msualg_1(D,B) & v4_msualg_1(D,B) & ~ v1_catalg_1(D,B) & v15_aofa_l00(D,A,B,C) ) ) )).
fof(rc21_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v2_comput_1(A) & v8_comput_1(A,1) ) )).
fof(rc21_fomodel0,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A) & v5_fomodel0(A) ) )).
fof(rc21_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(B) & v7_fomodel4(B,A) & v13_fomodel4(B,2,A) & v15_fomodel4(B,A) ) ) )).
fof(rc21_roughs_4,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v2_roughs_1(A) & v31_roughs_4(A) ) )).
fof(rc21_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_zfmisc_1(B) ) ) )).
fof(rc22_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ? [B] : ( l1_msualg_1(B) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v1_instalg1(B) & v2_aofa_l00(B,A) ) ) )).
fof(rc22_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v2_comput_1(A) & v8_comput_1(A,2) ) )).
fof(rc22_roughs_4,axiom,( ? [A] : ( l1_pre_topc(A) & v2_pre_topc(A) & ~ v8_isomichi(A) ) )).
fof(rc22_struct_0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_zfmisc_1(B) ) ) )).
fof(rc23_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v19_aofa_a00(B,A) ) ) )).
fof(rc23_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ? [C] : ( l2_aofa_l00(C,B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v14_struct_0(C) & v1_instalg1(C) & v2_aofa_l00(C,A) ) ) )).
fof(rc23_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v2_comput_1(A) & v8_comput_1(A,3) ) )).
fof(rc23_struct_0,axiom,( ! [A] : ( v1_card_1(A) => ? [B] : ( l1_struct_0(B) & v13_struct_0(B,A) ) ) )).
fof(rc24_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & ~ v1_catalg_1(B,A) & v17_aofa_a00(B,A) & v20_aofa_a00(B,4,1,A) ) ) )).
fof(rc24_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v7_ordinal1(C) & ~ v1_xboole_0(C) ) => ? [D] : ( l2_aofa_l00(D,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v14_struct_0(D) & v1_instalg1(D) & v2_aofa_l00(D,A) & v6_aofa_l00(D,C) & v7_aofa_l00(D,B) ) ) )).
fof(rc25_aofa_a00,axiom,( ! [A] : ! [B] : ? [C] : ( l5_aofa_a00(C) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v14_struct_0(C) & v1_instalg1(C) & v12_aofa_a00(C) & v14_aofa_a00(C,4) & v21_aofa_a00(C,A,B,1) ) )).
fof(rc25_struct_0,axiom,( ? [A] : ( l5_struct_0(A) & ~ v15_struct_0(A) ) )).
fof(rc26_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_aofa_l00(A) ) => ? [B] : ( l3_msualg_1(B,A) & v17_aofa_l00(B,A) ) ) )).
fof(rc27_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v21_aofa_a00(A,1,1,11) & l6_aofa_a00(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v19_aofa_a00(B,A) ) ) )).
fof(rc27_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v3_relat_1(C) & m1_msafree(C,A,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_aofa_l00(D,A) & l2_aofa_l00(D,k4_aofa_l00(A,B,C)) ) => ? [E] : ( v1_relat_1(E) & ~ v3_relat_1(E) & v4_relat_1(E,u1_struct_0(D)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_partfun1(E,u1_struct_0(D)) & v1_aofa_l00(E,C) ) ) )).
fof(rc28_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v21_aofa_a00(C,A,B,1) & l5_aofa_a00(C) ) => ? [D] : ( l3_msualg_1(D,C) & v3_msualg_1(D,C) & v4_msualg_1(D,C) & ~ v1_catalg_1(D,C) & v22_aofa_a00(D,C,A,B,1) ) ) )).
fof(rc28_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v3_relat_1(C) & m1_msafree(C,A,B) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_aofa_l00(D,A) & l2_aofa_l00(D,k4_aofa_l00(A,B,C)) & v1_relat_1(E) & ~ v3_relat_1(E) & v4_relat_1(E,u1_struct_0(D)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(D)) & v1_aofa_l00(E,C) ) => ? [F] : ( l5_aofa_l00(F,A,B,C,D,E) & v4_msualg_1(F,D) & v15_aofa_l00(F,A,D,B) & v17_aofa_l00(F,D) ) ) )).
fof(rc2_abcmiz_0,axiom,( ? [A] : ( l1_abcmiz_0(A) & v3_abcmiz_0(A) ) )).
fof(rc2_abcmiz_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msualg_1(A) & v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) ) )).
fof(rc2_abcmiz_a,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msualg_1(A) & v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) ) )).
fof(rc2_abian,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & ~ v1_abian(A) ) )).
fof(rc2_absred_0,axiom,( ? [A] : ( l1_absred_0(A) & ~ v2_struct_0(A) & v1_absred_0(A) ) )).
fof(rc2_afinsq_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_xboole_0(B) & v1_finset_1(B) ) )).
fof(rc2_afvect0,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v8_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) ) )).
fof(rc2_algstr_1,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v7_algstr_0(A) & v8_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) ) )).
fof(rc2_algstr_3,axiom,( ? [A] : ( l1_algstr_3(A) & ~ v2_struct_0(A) ) )).
fof(rc2_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & v1_algstr_4(B,A) ) ) )).
fof(rc2_altcat_1,axiom,( ? [A] : ( l2_altcat_1(A) & v6_altcat_1(A) ) )).
fof(rc2_altcat_2,axiom,( ? [A] : ( l1_altcat_1(A) & ~ v2_struct_0(A) & v1_altcat_2(A) ) )).
fof(rc2_ami_wstd,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v3_card_1(C,1) & v4_card_3(C) & v2_pre_poly(C) & v5_ami_wstd(C,A,B) ) ) )).
fof(rc2_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_1(B,A) ) ) )).
fof(rc2_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_1(B,A) & v2_amistd_2(B,A) ) ) )).
fof(rc2_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) ) ) )).
fof(rc2_analmetr,axiom,( ? [A] : ( l2_analmetr(A) & v2_analmetr(A) ) )).
fof(rc2_analoaf,axiom,( ? [A] : ( l1_analoaf(A) & ~ v7_struct_0(A) & v1_analoaf(A) ) )).
fof(rc2_anproj_2,axiom,( ? [A] : ( l1_collsp(A) & ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) ) )).
fof(rc2_aofa_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(A)) & v5_relat_1(B,A) & ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,A) & v8_comput_1(B,k5_numbers) ) ) )).
fof(rc2_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l1_aofa_a00(C,A) & v5_msafree4(C,A,B) & v1_aofa_a00(C,A) ) ) )).
fof(rc2_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & v1_aofa_a01(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( l3_msualg_1(C,A) & v4_msualg_1(C,A) & v4_msafree4(C,A,B) & v9_msafree4(C,A,k5_msafree4(A,B)) & v17_aofa_a00(C,A) ) ) )).
fof(rc2_aofa_i00,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A),A))) & v1_relat_1(B) & v4_relat_1(B,k1_card_1(A)) & v5_relat_1(B,A) & v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,k1_card_1(A),A) & v2_funct_2(B,A) ) )).
fof(rc2_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_aofa_l00(C,B) ) ) )).
fof(rc2_armstrng,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v2_finsub_1(B) & v1_armstrng(B,A) ) )).
fof(rc2_arytm_3,axiom,( ? [A] : ( m1_subset_1(A,k5_arytm_3) & v1_xboole_0(A) ) )).
fof(rc2_asympt_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc2_bcialg_3,axiom,( ? [A] : ( l2_bcialg_1(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v4_bcialg_3(A) & v5_bcialg_3(A) ) )).
fof(rc2_bcialg_4,axiom,( ? [A] : ( l1_bcialg_4(A) & ~ v2_struct_0(A) & v1_bcialg_4(A) ) )).
fof(rc2_bcialg_5,axiom,( ? [A] : ( l2_bcialg_1(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_5(A) ) )).
fof(rc2_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : ( m2_bcialg_1(B,A) & ~ v1_xboole_0(B) & v3_bciideal(B,A) ) ) )).
fof(rc2_bhsp_1,axiom,( ? [A] : ( l1_bhsp_1(A) & ~ v2_struct_0(A) & v1_bhsp_1(A) ) )).
fof(rc2_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : ( m2_bhsp_5(B,A) & v1_finset_1(B) ) ) )).
fof(rc2_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C))) & v5_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C))) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) ) ) )).
fof(rc2_bintree1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) ) )).
fof(rc2_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) ) ) )).
fof(rc2_borsuk_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_borsuk_2(C,A,B,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k5_topmetr)) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(k5_topmetr)) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(A)) & v5_pre_topc(C,k5_topmetr,A) ) ) )).
fof(rc2_borsuk_5,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xreal_0(A) & v1_xxreal_0(A) & ~ v1_rat_1(A) ) )).
fof(rc2_borsuk_6,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_topmetr(A) ) )).
fof(rc2_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_c0sp1(B,A) & ~ v2_struct_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v14_algstr_0(B) & v36_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v9_rlvect_1(B) & v1_vectsp_1(B) & v2_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v6_vectsp_1(B) & v1_group_1(B) & v3_group_1(B) ) ) )).
fof(rc2_cantor_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(B,A) & v2_cantor_1(B,A) ) ) )).
fof(rc2_card_1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v1_finset_1(A) & v1_card_1(A) ) )).
fof(rc2_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [B] : ( m1_subset_1(B,k8_card_3(A)) & v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) ) ) )).
fof(rc2_card_fil,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) ) )).
fof(rc2_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ? [B] : ( m1_subset_1(B,A) & v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & ~ v1_finset_1(B) & v1_card_1(B) ) ) )).
fof(rc2_cat_1,axiom,( ? [A] : ( l1_cat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) ) )).
fof(rc2_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ? [B] : ( m3_cat_2(B,A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v1_cat_2(B,A) ) ) )).
fof(rc2_cat_4,axiom,( ? [A] : ( l1_cat_4(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) ) )).
fof(rc2_cat_5,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v2_cat_5(A) ) )).
fof(rc2_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v4_cat_6(A) & ~ v5_cat_6(A) & v8_cat_6(A) & v9_cat_6(A) ) )).
fof(rc2_cat_7,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( l1_cat_6(B) & v1_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & v6_cat_7(B) & v7_cat_7(B,A) ) ) )).
fof(rc2_catalan2,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v1_finset_1(A) & v4_partfun3(A) & v1_afinsq_1(A) & v1_catalan2(A) ) )).
fof(rc2_catalg_1,axiom,( ? [A] : ( v1_relat_1(A) & ~ v3_relat_1(A) & v1_funct_1(A) ) )).
fof(rc2_cayldick,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v5_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_binop_1(B,A) & v2_binop_1(B,A) ) )).
fof(rc2_cc0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v3_c0sp1(B,A) & v1_cc0sp1(B,A) ) ) )).
fof(rc2_cfdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_valued_0(A) ) )).
fof(rc2_cfuncdom,axiom,( ? [A] : ( l1_cfuncdom(A) & ~ v2_struct_0(A) ) )).
fof(rc2_cgames_1,axiom,( ? [A] : ( l1_cgames_1(A) & v1_cgames_1(A) ) )).
fof(rc2_chain_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_zfmisc_1(B) & v1_finset_1(B) ) ) )).
fof(rc2_chord,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v7_glib_000(A) & v2_chord(A) ) )).
fof(rc2_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & v5_circcmb3(B,A) ) ) )).
fof(rc2_circcomb,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & v3_circcomb(A) ) )).
fof(rc2_circled1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m2_rlvect_2(C,A,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,k1_numbers) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_valued_0(C) & v2_valued_0(C) & v3_valued_0(C) & v1_circled1(C,A) ) ) )).
fof(rc2_classes2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( m1_subset_1(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc2_clopban1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_clopban1(C,A,B) & v2_clopban1(C,A,B) ) ) )).
fof(rc2_clopban2,axiom,( ? [A] : ( l1_clopban2(A) & v1_clopban2(A) ) )).
fof(rc2_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_clopban3(B,A) ) ) )).
fof(rc2_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & v1_xboole_0(C) & v4_funct_1(C) & v1_finset_1(C) ) ) )).
fof(rc2_clvect_1,axiom,( ? [A] : ( l1_clvect_1(A) & ~ v2_struct_0(A) ) )).
fof(rc2_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ? [B] : ( m1_subset_1(B,A) & v1_finset_1(B) ) ) )).
fof(rc2_collsp,axiom,( ? [A] : ( l1_collsp(A) & ~ v2_struct_0(A) & v1_collsp(A) ) )).
fof(rc2_combgras,axiom,( ! [A] : ! [B] : ( ( l1_incsp_1(A) & l1_incsp_1(B) ) => ? [C] : ( l1_combgras(C,A,B) & v5_combgras(C,A,B) ) ) )).
fof(rc2_compact1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) ) )).
fof(rc2_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_compl_sp(B,A) ) ) )).
fof(rc2_compos_0,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) ) )).
fof(rc2_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v3_card_1(B,1) & v1_afinsq_1(B) ) ) )).
fof(rc2_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ? [B] : ( m1_subset_1(B,u1_compos_1(A)) & v6_compos_0(B,u1_compos_1(A)) ) ) )).
fof(rc2_compts_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) ) )).
fof(rc2_comput_1,axiom,( ! [A] : ! [B] : ? [C] : ( m1_rfunct_3(C,A,B) & ~ v1_xboole_0(C) & v1_comput_1(C) ) )).
fof(rc2_comseq_2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_valued_0(A) & v2_comseq_2(A) ) )).
fof(rc2_comseq_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_valued_0(A) & v1_comseq_3(A) ) )).
fof(rc2_conlat_1,axiom,( ? [A] : ( l1_conlat_1(A) & v1_conlat_1(A) ) )).
fof(rc2_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v1_convex1(B,A) ) ) )).
fof(rc2_convex2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m2_rlvect_2(C,A,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,k1_numbers) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_valued_0(C) & v2_valued_0(C) & v3_valued_0(C) & v2_convex1(C,A) ) ) )).
fof(rc2_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v1_convex3(B,A) ) ) )).
fof(rc2_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v1_convex4(B,A) ) ) )).
fof(rc2_csspace,axiom,( ? [A] : ( l1_csspace(A) & ~ v2_struct_0(A) & v1_csspace(A) ) )).
fof(rc2_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & v1_dilworth(B,A) ) ) )).
fof(rc2_diraf,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v1_diraf(A) & v2_diraf(A) ) )).
fof(rc2_e_siec,axiom,( ? [A] : ( l1_e_siec(A) & v2_e_siec(A) ) )).
fof(rc2_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_ec_pf_1(B,A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & ~ v7_struct_0(B) & v8_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v1_group_1(B) & v3_group_1(B) & v5_group_1(B) & v1_int_3(B) & v1_vectsp_1(B) & v2_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v6_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) ) ) )).
fof(rc2_endalg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) & ~ v2_struct_0(B) & v4_vectsp_1(B) & l4_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_group_1(C,A,B) & v1_group_6(C,A,B) ) ) )).
fof(rc2_entropy1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(k1_numbers)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & v1_entropy1(B,A) ) ) )).
fof(rc2_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_eqrel_1(B,A) & ~ v1_xboole_0(B) & v1_setfam_1(B) & ~ v10_ordinal1(B) ) ) )).
fof(rc2_equation,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v3_msualg_1(C,A) & v4_msualg_1(C,A) & v3_msafree2(C,A) ) ) )).
fof(rc2_euclid_7,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v3_euclid_7(A) ) )).
fof(rc2_euclmetr,axiom,( ? [A] : ( l2_analmetr(A) & ~ v2_struct_0(A) & v3_analmetr(A) & v1_euclmetr(A) & v2_euclmetr(A) & v3_euclmetr(A) & v4_euclmetr(A) & v5_euclmetr(A) & v6_euclmetr(A) & v7_euclmetr(A) ) )).
fof(rc2_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v5_relat_1(D,C) & v5_relat_1(D,k4_numbers) & v1_funct_1(D) & v1_valued_0(D) & v3_valued_0(D) & v4_valued_0(D) & v1_finset_1(D) & v1_exchsort(D) & v2_exchsort(D,B) ) ) )).
fof(rc2_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) ) ) )).
fof(rc2_facirc_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ~ v1_facirc_1(A) ) )).
fof(rc2_fcont_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k1_numbers) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_xboole_0(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc2_fdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k1_numbers) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v2_fdiff_1(A) ) )).
fof(rc2_fin_topo,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) ) )).
fof(rc2_finseq_1,axiom,( ! [A] : ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_xboole_0(B) & v1_finset_1(B) & v1_finseq_1(B) ) )).
fof(rc2_finseq_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_finseq_1(C,B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finset_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_finseq_1(C) & v4_card_3(C) ) ) )).
fof(rc2_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & ~ v1_xboole_0(B) & v1_funct_1(B) & v2_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc2_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & ~ v1_zfmisc_1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_finseq_6(B,A) ) ) )).
fof(rc2_finset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_finset_1(B) ) ) )).
fof(rc2_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_fintopo6(B,A) & ~ v2_struct_0(B) & v1_orders_2(B) ) ) )).
fof(rc2_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k3_finseq_2(A)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finset_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v2_finseq_1(C) & v4_card_3(C) & v2_pre_poly(C) ) ) )).
fof(rc2_fomodel1,axiom,( ? [A] : ( l4_struct_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & ~ v8_struct_0(A) ) )).
fof(rc2_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,A) & v5_relat_1(D,k9_funct_2(B,C)) & v1_funct_1(D) & v1_partfun1(D,A) & v1_funct_2(D,A,k9_funct_2(B,C)) & v1_funcop_1(D) & v2_funcop_1(D) ) ) )).
fof(rc2_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ? [E] : ( m1_fomodel2(E,A,B,C) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B)) & v5_relat_1(E,k2_xboole_0(B,k5_margrel1)) & v1_funct_1(E) & v1_partfun1(E,k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B)) & v1_funct_2(E,k4_finseq_2(k1_int_2(k19_fomodel1(A,C)),B),k2_xboole_0(B,k5_margrel1)) & v2_fomodel3(E,A,B,C,D) ) ) )).
fof(rc2_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_fomodel4(A))) & v1_relat_1(B) & v2_fomodel4(B,A) ) ) )).
fof(rc2_freealg,axiom,( ? [A] : ( m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(A) & v1_relat_1(A) & ~ v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc2_fsm_1,axiom,( ! [A] : ? [B] : ( l1_fsm_1(B,A) & ~ v2_struct_0(B) & v8_struct_0(B) ) )).
fof(rc2_fsm_2,axiom,( ! [A] : ? [B] : ( l1_fsm_2(B,A) & ~ v2_struct_0(B) ) )).
fof(rc2_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ? [C] : ( l1_fsm_3(C,A,B) & ~ v2_struct_0(C) & v8_struct_0(C) & v1_fsm_3(C,A,B) & v2_fsm_3(C,A,B) ) ) )).
fof(rc2_funcop_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) ) )).
fof(rc2_funcsdom,axiom,( ? [A] : ( l1_funcsdom(A) & v1_funcsdom(A) ) )).
fof(rc2_funct_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) )).
fof(rc2_funct_2,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) ) )).
fof(rc2_funct_7,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_funct_7(A) ) )).
fof(rc2_funct_8,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v1_funct_8(A) ) )).
fof(rc2_funct_9,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v2_funct_9(A) ) )).
fof(rc2_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_altcat_2(A) & l2_altcat_1(A) ) => ? [B] : ( m1_altcat_2(B,A) & ~ v2_struct_0(B) & v1_altcat_2(B) ) ) )).
fof(rc2_fvaluat1,axiom,( ? [A] : ( v1_xxreal_0(A) & v2_xxreal_0(A) & v1_fvaluat1(A) ) )).
fof(rc2_gaussint,axiom,( ? [A] : ( l1_gaussint(A) & ~ v2_struct_0(A) ) )).
fof(rc2_gcd_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) ) )).
fof(rc2_geomtrap,axiom,( ? [A] : ( l1_geomtrap(A) & ~ v2_struct_0(A) & v1_geomtrap(A) ) )).
fof(rc2_glib_000,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) )).
fof(rc2_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : ( m3_glib_001(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v6_glib_001(B,A) ) ) )).
fof(rc2_glib_002,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v3_glib_002(A) ) )).
fof(rc2_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) ) => ? [B] : ( m1_glib_000(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v2_pre_poly(B) & v1_glib_000(B) & v2_glib_000(B) & v3_glib_000(B) & v5_glib_000(B) & v6_glib_000(B) & v7_glib_000(B) & v8_glib_000(B) & v9_glib_000(B,A) & v1_glib_002(B) & v2_glib_002(B) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v7_glib_003(B) & v1_glib_004(B,A) ) ) )).
fof(rc2_goboard9,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v3_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc2_gr_cy_1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) ) )).
fof(rc2_gr_cy_3,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_int_2(A) & v1_finset_1(A) & v1_card_1(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & ~ v3_xxreal_0(A) & v2_gr_cy_3(A) ) )).
fof(rc2_graph_1,axiom,( ? [A] : ( l1_graph_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_graph_1(A) ) )).
fof(rc2_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m1_graph_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v3_graph_2(B,A) ) ) )).
fof(rc2_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m1_graph_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v7_graph_1(B,A) & v3_graph_2(B,A) ) ) )).
fof(rc2_grcat_1,axiom,( ? [A] : ( l1_grcat_1(A) & v1_grcat_1(A) ) )).
fof(rc2_group_1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) ) )).
fof(rc2_group_10,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( l3_algstr_0(B) & ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & v1_gr_cy_1(B) & v2_group_10(B,A) ) ) )).
fof(rc2_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funct_2(C,A,u1_struct_0(B)) & v1_group_19(C,A,B) ) ) )).
fof(rc2_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( m1_group_2(B,A) & ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) ) ) )).
fof(rc2_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) ) ) )).
fof(rc2_group_7,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_group_7(A) ) )).
fof(rc2_group_9,axiom,( ! [A] : ? [B] : ( l1_group_9(B,A) & ~ v2_struct_0(B) ) )).
fof(rc2_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ? [C] : ( m1_group_2(C,B) & ~ v2_struct_0(C) & v1_group_1(C) & v2_group_1(C) & v3_group_1(C) & v2_group_10(C,A) ) ) )).
fof(rc2_hahnban1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,k1_numbers) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v4_hahnban1(C,A,B) & v7_hahnban1(C,A,B) ) ) )).
fof(rc2_hallmar1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_hallmar1(B,A) ) ) )).
fof(rc2_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(k1_complfld)) & ~ v1_zfmisc_1(B) & v1_funct_1(B) & ~ v3_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(B,A,k1_complfld) & v1_valued_0(B) & v1_hermitan(B,A) ) ) )).
fof(rc2_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k1_hilbert1) & m1_subset_1(C,k1_hilbert1) & m1_subset_1(D,k1_hilbert1) ) => ? [E] : ( m1_subset_1(E,k3_hilbert3(A,k3_hilbert1(B,k3_hilbert1(C,D)))) & v1_relat_1(E) & v1_funct_1(E) & v1_funcop_1(E) & v2_funcop_1(E) ) ) )).
fof(rc2_hilbert4,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_funct_1(B) & v2_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v2_funct_2(B,A) & v3_funct_2(B,A,A) & v1_partit_2(B) & v4_fomodel0(B) ) )).
fof(rc2_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v3_hurwitz2(B,A) ) ) )).
fof(rc2_ideal_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v7_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_algstr_1(A) ) )).
fof(rc2_index_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_index_1(A) ) )).
fof(rc2_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( m1_instalg1(B,A) & ~ v2_struct_0(B) & v1_instalg1(B) ) ) )).
fof(rc2_int_1,axiom,( ? [A] : v1_int_1(A) )).
fof(rc2_int_2,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_finset_1(A) & v1_card_1(A) & ~ v1_int_2(A) ) )).
fof(rc2_int_3,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) ) )).
fof(rc2_int_6,axiom,( ? [A] : ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc2_interva1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v1_interva1(B,A) ) )).
fof(rc2_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_tops_1(B,A) & v1_isomichi(B,A) & v2_isomichi(B,A) ) ) )).
fof(rc2_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v4_funct_1(B) & ~ v1_xboole_0(B) & v4_pre_topc(B,k15_euclid(A)) & v9_rltopsp1(B,k15_euclid(A)) & v1_convex1(B,k15_euclid(A)) ) ) )).
fof(rc2_jordan23,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_finseq_6(B,A) & v2_jordan23(B) ) ) )).
fof(rc2_jordan5a,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v1_finset_1(A) & v5_xxreal_2(A) ) )).
fof(rc2_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_knaster(B,A) & v3_knaster(B,A) ) ) )).
fof(rc2_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_kurato_1(B,A) & v2_kurato_1(B,A) ) ) )).
fof(rc2_lagra4sq,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_finset_1(A) & v1_card_1(A) & ~ v1_abian(A) & v1_xcmplx_0(A) & v1_int_2(A) ) )).
fof(rc2_lang1,axiom,( ? [A] : ( l1_lang1(A) & ~ v2_struct_0(A) & v1_lang1(A) ) )).
fof(rc2_lattad_1,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) ) )).
fof(rc2_lattice2,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v1_lattice2(A) ) )).
fof(rc2_lattice3,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) ) )).
fof(rc2_lattice5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_0(B,A) & v1_orders_2(B) & v5_yellow_0(B,A) & v6_yellow_0(B,A) ) ) )).
fof(rc2_lattice6,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v4_lattice3(A) & v1_lattice6(A) ) )).
fof(rc2_lattice7,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc2_lattice8,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_yellow_0(B,k1_lattice5(A)) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v4_yellow_0(B,k1_lattice5(A)) & v5_yellow_0(B,k1_lattice5(A)) & v6_yellow_0(B,k1_lattice5(A)) & v1_lattice8(B) ) ) )).
fof(rc2_lattices,axiom,( ? [A] : ( l2_lattices(A) & v2_lattices(A) ) )).
fof(rc2_lopban_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) ) ) )).
fof(rc2_lopban_2,axiom,( ? [A] : ( l1_lopban_2(A) & v1_lopban_2(A) ) )).
fof(rc2_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v2_lopban_3(B,A) ) ) )).
fof(rc2_lopclset,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k5_finsub_1(A)) & ~ v1_xboole_0(B) & v1_finset_1(B) ) ) )).
fof(rc2_lpspace2,axiom,( ? [A] : ( v1_xxreal_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_lpspace2(A) ) )).
fof(rc2_margrel1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_margrel1(A) ) )).
fof(rc2_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(k1_numbers)) & v1_funct_1(B) & v1_finseq_1(B) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & v2_matrix10(B) & v3_matrix10(B) ) ) )).
fof(rc2_matrix13,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(A) ) )).
fof(rc2_matrix17,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k3_finseq_2(u1_struct_0(B))) & v1_funct_1(C) & v1_finseq_1(C) & v1_funcop_1(C) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v2_matrix17(C,B,A) ) ) )).
fof(rc2_matrix_0,axiom,( ! [A] : ? [B] : ( m1_finseq_1(B,k3_finseq_2(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(A)) & v1_funct_1(B) & v1_funcop_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_pre_poly(B) & v2_pre_poly(B) & v1_matrix_0(B) ) )).
fof(rc2_matrix_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k3_finseq_2(u1_struct_0(B))) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v2_matrix_1(C,A,B) & v3_matrix_1(C,A,B) ) ) )).
fof(rc2_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) & v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v5_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v2_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_funct_2(B,k2_finseq_1(A),k2_finseq_1(A)) & v1_finset_1(B) & v1_finseq_1(B) ) ) )).
fof(rc2_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(k3_finseq_2(A))) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v2_matrixj1(B,A) ) ) )).
fof(rc2_matrixj2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_matrixj2(C,A,B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v1_funcop_1(C) & v2_funcop_1(C) & v1_matrixj1(C,u1_struct_0(A)) & v2_matrixj1(C,u1_struct_0(A)) & v1_matrixj2(C,A) ) ) )).
fof(rc2_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) ) ) )).
fof(rc2_matrprob,axiom,( ? [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) & v1_relat_1(A) & ~ v3_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k3_finseq_2(k1_numbers)) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_funcop_1(A) & v1_matrix_0(A) & v1_pre_poly(A) & v4_matrprob(A) ) )).
fof(rc2_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k15_euclid(A))) & v5_relat_1(B,u1_struct_0(k15_euclid(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(k15_euclid(A))) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v1_topreal9(B,A) ) ) )).
fof(rc2_measure1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) ) )).
fof(rc2_measure5,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v2_measure5(A) ) )).
fof(rc2_measure6,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_setfam_1(A) ) )).
fof(rc2_membered,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v6_membered(A) ) )).
fof(rc2_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_memstr_0(B,A) & v13_struct_0(B,1) ) ) )).
fof(rc2_mesfunc7,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v2_valued_0(A) ) )).
fof(rc2_metric_1,axiom,( ? [A] : ( l1_metric_1(A) & ~ v2_struct_0(A) & v1_metric_1(A) ) )).
fof(rc2_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_pre_topc(B) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_mfold_0(B) & v2_mfold_0(B,A) & v3_mfold_0(B) ) ) )).
fof(rc2_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(B) & v4_funct_1(B) & v1_mfold_1(B,A) ) ) )).
fof(rc2_midsp_1,axiom,( ? [A] : ( l1_midsp_1(A) & ~ v2_struct_0(A) ) )).
fof(rc2_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_midsp_3(B,A) & ~ v2_struct_0(B) ) ) )).
fof(rc2_mmlquer2,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) ) )).
fof(rc2_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_mod_2(B,A) & v2_mod_2(B,A) & v3_mod_2(B,A) ) ) )).
fof(rc2_modal_1,axiom,( ? [A] : ( m1_subset_1(A,k6_modal_1) & v1_relat_1(A) & v5_relat_1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v2_modal_1(A) ) )).
fof(rc2_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m3_modcat_1(B,A) ) => ? [C] : ( m1_subset_1(C,B) & v2_mod_2(C,A) & v3_mod_2(C,A) ) ) )).
fof(rc2_modelc_2,axiom,( ? [A] : ( l1_modelc_2(A) & v9_modelc_2(A) ) )).
fof(rc2_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => ? [B] : ( l1_modelc_3(B,A) & v1_modelc_3(B,A) & v3_modelc_3(B,A) ) ) )).
fof(rc2_moebius1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_finset_1(A) & v1_card_1(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & ~ v1_moebius1(A) ) )).
fof(rc2_moebius2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v4_valued_0(B) & v2_pre_poly(B) & v1_partfun3(B) ) ) )).
fof(rc2_monoid_0,axiom,( ? [A] : ( l1_struct_0(A) & v2_monoid_0(A) ) )).
fof(rc2_msafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v2_msafree(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msafree(C,A,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_msafree(C,A,B) ) ) )).
fof(rc2_msafree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v4_msualg_1(B,A) & v1_msafree1(B,A) ) ) )).
fof(rc2_msafree2,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msualg_1(A) & v2_msafree2(A) ) )).
fof(rc2_msafree4,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v2_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_trees_3(A) & v4_card_3(A) ) )).
fof(rc2_msalimit,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v2_msalimit(A) ) )).
fof(rc2_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) )).
fof(rc2_msualg_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & v11_struct_0(A) & v1_msualg_1(A) ) )).
fof(rc2_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v3_msualg_1(C,A) ) ) )).
fof(rc2_msualg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v2_msualg_4(C,A,B) ) ) )).
fof(rc2_msualg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v2_msualg_4(C,A,B) & v3_msualg_6(C,A,B) & v4_msualg_6(C,A,B) ) ) )).
fof(rc2_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m3_pboole(C,A,B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) ) )).
fof(rc2_mycielsk,axiom,( ? [A] : ( l1_orders_2(A) & v1_mycielsk(A) ) )).
fof(rc2_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_xboole_0(B) & v1_nagata_1(B,A) ) ) )).
fof(rc2_nat_1,axiom,( ? [A] : ( v7_ordinal1(A) & v8_ordinal1(A) ) )).
fof(rc2_nat_3,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) )).
fof(rc2_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & v7_ordinal1(B) & v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v2_int_1(B) & v1_abian(B) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) & v1_nat_6(B,A) ) ) )).
fof(rc2_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ? [B] : ( m3_cat_2(B,A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v1_cat_1(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v4_nattra_1(B) ) ) )).
fof(rc2_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_ndiff_1(B,A,k4_struct_0(A)) ) ) )).
fof(rc2_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k1_numbers) & v5_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k1_numbers) & v1_funct_2(B,k1_numbers,u1_struct_0(A)) & v2_ndiff_3(B,A) ) ) )).
fof(rc2_ndiff_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),u1_struct_0(k7_prvect_3(A,B))))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v5_relat_1(C,u1_struct_0(k7_prvect_3(A,B))) & ~ v1_xboole_0(C) & v1_funct_1(C) & v2_funct_1(C) & v1_partfun1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v1_funct_2(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),u1_struct_0(k7_prvect_3(A,B))) & v2_funct_2(C,u1_struct_0(k7_prvect_3(A,B))) & v13_vectsp_1(C,k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) & v1_lopban_1(C,k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) & v1_mazurulm(C,k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B)) ) ) )).
fof(rc2_newton,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_int_2(A) & v1_finset_1(A) & v1_card_1(A) ) )).
fof(rc2_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k1_numbers) & v5_relat_1(B,u1_struct_0(A)) & v1_xboole_0(B) & v1_funct_1(B) ) ) )).
fof(rc2_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) & v1_relat_1(B) & v4_relat_1(B,k1_numbers) & v5_relat_1(B,k1_euclid(A)) & v1_xboole_0(B) & v1_funct_1(B) & v1_funcop_1(B) & v7_valued_2(B) & v8_valued_2(B) & v9_valued_2(B) ) ) )).
fof(rc2_normsp_1,axiom,( ? [A] : ( l1_normsp_1(A) & ~ v2_struct_0(A) & v1_normsp_1(A) ) )).
fof(rc2_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_nfcont_1(B,A) & v3_nfcont_1(B,A) & v1_normsp_3(B,A) ) ) )).
fof(rc2_numpoly1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_ec_pf_2(A,3) ) )).
fof(rc2_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v3_qmax_1(A) ) )).
fof(rc2_orders_2,axiom,( ? [A] : ( l1_orders_2(A) & v13_struct_0(A,1) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) )).
fof(rc2_orders_4,axiom,( ? [A] : ( m1_orders_4(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) ) )).
fof(rc2_ordinal1,axiom,( ? [A] : v3_ordinal1(A) )).
fof(rc2_ordinal2,axiom,( ? [A] : ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) )).
fof(rc2_ordinal4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( m1_subset_1(B,A) & v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & ~ v1_xboole_0(B) ) ) )).
fof(rc2_ordinal5,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_ordinal2(A) & v2_ordinal2(A) & v1_ordinal5(A) & v2_ordinal5(A) & v3_ordinal5(A) ) )).
fof(rc2_ordinal6,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & ~ v1_xboole_0(A) & v1_ordinal2(A) & v2_ordinal2(A) & v3_ordinal2(A) ) )).
fof(rc2_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ? [D] : ( m1_msualg_4(D,u1_struct_0(A),B,C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v2_funcop_1(D) & v1_osalg_4(D,A,B,C) ) ) )).
fof(rc2_papdesaf,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v1_diraf(A) & v2_diraf(A) & v2_aff_2(A) & v4_aff_2(A) & v7_aff_2(A) & v11_aff_2(A) & v1_translac(A) ) )).
fof(rc2_parsp_1,axiom,( ? [A] : ( l1_parsp_1(A) & ~ v2_struct_0(A) ) )).
fof(rc2_partfun1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_relat_2(B) & v3_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) ) )).
fof(rc2_partfun3,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_partfun3(B) ) )).
fof(rc2_partfun4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_pscomp_1(B,A) & v2_partfun3(B) ) ) )).
fof(rc2_pboole,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v3_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) )).
fof(rc2_pcomps_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v8_pre_topc(A) ) )).
fof(rc2_petri,axiom,( ? [A] : ( l1_petri(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_petri(A) & v2_petri(A) & v3_petri(A) ) )).
fof(rc2_petri_2,axiom,( ? [A] : ( l1_petri_2(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) ) )).
fof(rc2_petri_df,axiom,( ? [A] : ( l1_petri(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_df(A) ) )).
fof(rc2_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ? [B] : ( l1_polyalg1(B,A) & ~ v2_struct_0(B) & v1_polyalg1(B,A) ) ) )).
fof(rc2_polyform,axiom,( ? [A] : ( l1_polyform(A) & v2_polyform(A) & v3_polyform(A) & v4_polyform(A) ) )).
fof(rc2_polynom1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) ) )).
fof(rc2_polynom5,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v2_polynom5(A) ) )).
fof(rc2_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(B) & l2_struct_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,k15_pre_poly(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(C,A,B) ) ) )).
fof(rc2_polyred,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v7_algstr_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) ) )).
fof(rc2_poset_1,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) ) )).
fof(rc2_poset_2,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & v1_poset_2(A) ) )).
fof(rc2_pre_poly,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) & ~ v1_xboole_0(B) ) )).
fof(rc2_pre_topc,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) ) )).
fof(rc2_prob_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) ) )).
fof(rc2_prob_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,B) & v5_relat_1(C,k9_setfam_1(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & v1_prob_2(C) ) ) )).
fof(rc2_prvect_2,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_card_3(A) & v2_prvect_2(A) ) )).
fof(rc2_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v1_pscomp_1(B,A) ) ) )).
fof(rc2_pythtrip,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & ~ v1_abian(A) & v1_pythtrip(A) ) )).
fof(rc2_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_qc_lang1(B,A) ) ) )).
fof(rc2_qc_trans,axiom,( ! [A] : ! [B] : ( ( v4_card_3(A) & m1_qc_lang1(A) & v4_card_3(B) & m1_qc_lang1(B) ) => ? [C] : ( m1_qc_lang1(C) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_card_3(C) & v1_qc_trans(C,A) & v1_qc_trans(C,B) ) ) )).
fof(rc2_quantal1,axiom,( ? [A] : ( l1_quantal1(A) & ~ v2_struct_0(A) ) )).
fof(rc2_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v5_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) ) ) )).
fof(rc2_rat_1,axiom,( ? [A] : v1_rat_1(A) )).
fof(rc2_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l2_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v2_ratfunc1(B,A) ) ) )).
fof(rc2_rcomp_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v2_rcomp_1(A) & v3_rcomp_1(A) & ~ v5_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc2_real_1,axiom,( ? [A] : ( m1_subset_1(A,k1_numbers) & v1_xcmplx_0(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc2_relat_1,axiom,( ? [A] : ( v1_relat_1(A) & v2_relat_1(A) ) )).
fof(rc2_rewrite2,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & v1_relat_1(B) & v3_relat_2(B) ) )).
fof(rc2_rewrite3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ? [C] : ( l1_rewrite3(C,B) & ~ v2_struct_0(C) & v8_struct_0(C) & v1_rewrite3(C,B) & v2_rewrite3(C,A,B) ) ) )).
fof(rc2_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & v4_ring_1(B,A) ) ) )).
fof(rc2_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) ) ) )).
fof(rc2_ringcat1,axiom,( ? [A] : ( l1_ringcat1(A) & v2_ringcat1(A) & v3_ringcat1(A) ) )).
fof(rc2_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_xboole_0(B) & v2_rlaffin1(B,A) ) ) )).
fof(rc2_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_rltopsp1(B,A) ) ) )).
fof(rc2_rlvect_1,axiom,( ? [A] : ( l1_rlvect_1(A) & ~ v2_struct_0(A) ) )).
fof(rc2_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_rlsub_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v1_rlvect_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v1_rlvect_5(B) ) ) )).
fof(rc2_robbins1,axiom,( ? [A] : ( l2_robbins1(A) & v2_robbins1(A) ) )).
fof(rc2_robbins4,axiom,( ? [A] : ( l4_robbins1(A) & ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v10_robbins1(A) & v1_robbins3(A) & v2_robbins3(A) & v3_robbins3(A) & v8_robbins3(A) & v9_robbins3(A) & v1_robbins4(A) ) )).
fof(rc2_roughs_1,axiom,( ! [A] : ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v1_prob_2(B) & v1_finseq_1(B) & v2_finseq_1(B) ) )).
fof(rc2_roughs_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k1_zfmisc_1(A)) & v5_relat_1(B,k1_zfmisc_1(A)) & v1_funct_1(B) & v1_partfun1(B,k1_zfmisc_1(A)) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & v5_roughs_2(B) & v6_roughs_2(B,A) ) ) )).
fof(rc2_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ? [B] : ( m1_rusub_1(B,A) & ~ v2_struct_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v9_rlvect_1(B) & v1_bhsp_1(B) & v2_bhsp_1(B) & v1_rusub_4(B) ) ) )).
fof(rc2_rvsum_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v3_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc2_rvsum_3,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_partfun3(A) ) )).
fof(rc2_scm_halt,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v4_card_3(A) & v1_afinsq_1(A) & v1_scmfsa6b(A) & v2_pre_poly(A) & v1_scm_halt(A) ) )).
fof(rc2_scmfsa6a,axiom,( ? [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) & v1_amistd_2(A,k5_card_1(3),k1_scmfsa_2) & v3_amistd_2(A,k5_card_1(3),k1_scmfsa_2) & v4_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) )).
fof(rc2_scmpds_4,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v4_card_3(A) & v1_afinsq_1(A) & v2_pre_poly(A) & v2_scmpds_4(A) & v3_scmpds_4(A) ) )).
fof(rc2_scmpds_5,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v2_scmpds_4(A) & v3_scmpds_4(A) ) )).
fof(rc2_scmyciel,axiom,( ? [A] : v1_scmyciel(A) )).
fof(rc2_seq_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) ) )).
fof(rc2_seqm_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v5_valued_0(A) ) )).
fof(rc2_setfam_1,axiom,( ? [A] : ~ v2_setfam_1(A) )).
fof(rc2_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k5_finsub_1(A)) & ~ v1_xboole_0(B) & v1_finset_1(B) ) ) )).
fof(rc2_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_xboole_0(B) & v1_tops_2(B,A) ) ) )).
fof(rc2_simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ? [C] : ( m1_simplex1(C,A,B) & ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) ) ) )).
fof(rc2_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( l1_pre_topc(B) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v1_simplex2(B,A) ) ) )).
fof(rc2_sppol_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(A) & v4_funct_1(A) & v2_compts_1(A,k15_euclid(2)) & v2_sppol_1(A) ) )).
fof(rc2_sppol_2,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & ~ v1_zfmisc_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_topreal1(A) & v2_topreal1(A) & v3_topreal1(A) ) )).
fof(rc2_sprect_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) ) )).
fof(rc2_sprect_3,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & ~ v1_xboole_0(A) & ~ v1_zfmisc_1(A) & ~ v8_ordinal1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_1(A) & v1_sprect_2(A) ) )).
fof(rc2_srings_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v2_srings_1(B,A) ) )).
fof(rc2_stacks_1,axiom,( ? [A] : ( l1_stacks_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_stacks_1(A) ) )).
fof(rc2_subset_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B) ) )).
fof(rc2_substlat,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k4_partfun1(A,B)) & v1_relat_1(C) & v1_funct_1(C) & v1_finset_1(C) ) )).
fof(rc2_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_substut1(B,A) ) ) )).
fof(rc2_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_symsp_1(B,A) & ~ v2_struct_0(B) ) ) )).
fof(rc2_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v6_tbsp_1(B,A) ) ) )).
fof(rc2_tdgroup,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v2_tdgroup(A) ) )).
fof(rc2_tdlat_3,axiom,( ? [A] : ( l1_pre_topc(A) & v1_pre_topc(A) & v3_tdlat_3(A) ) )).
fof(rc2_termord,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) )).
fof(rc2_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v7_struct_0(A) & v1_pre_topc(A) ) )).
fof(rc2_tex_2,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & ~ v1_zfmisc_1(B) & ~ v1_subset_1(B,A) ) ) )).
fof(rc2_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v2_tex_3(B,A) ) ) )).
fof(rc2_tex_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & ~ v1_tex_2(B,A) ) ) )).
fof(rc2_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_pre_topc(B,k15_euclid(A)) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_topalg_2(B,A) ) ) )).
fof(rc2_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k2_topalg_2)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v4_topalg_6(B,A) ) ) )).
fof(rc2_topdim_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_topdim_1(B,A) ) ) )).
fof(rc2_topgen_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v1_orders_4(A) ) )).
fof(rc2_topgen_2,axiom,( ? [A] : ( l1_pre_topc(A) & v2_pre_topc(A) & ~ v1_topgen_2(A) ) )).
fof(rc2_topgen_4,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v4_card_3(B) & v1_tops_2(B,A) & v2_tops_2(B,A) ) ) )).
fof(rc2_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_connsp_2(C,A,B) & ~ v1_xboole_0(C) & v3_pre_topc(C,A) ) ) )).
fof(rc2_topmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( m1_topmetr(B,A) & ~ v2_struct_0(B) & v1_metric_1(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) ) ) )).
fof(rc2_topreal8,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v3_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc2_toprealc,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v2_toprealc(A) ) )).
fof(rc2_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) & v4_pre_topc(B,A) ) ) )).
fof(rc2_trees_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) )).
fof(rc2_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : ( m1_trees_2(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc2_trees_3,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v3_trees_3(A) ) )).
fof(rc2_trees_9,axiom,( ? [A] : ( v1_relat_1(A) & ~ v1_zfmisc_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) ) )).
fof(rc2_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) ) ) )).
fof(rc2_tsp_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) ) )).
fof(rc2_unialg_1,axiom,( ? [A] : ( l1_unialg_1(A) & ~ v2_struct_0(A) & v1_unialg_1(A) ) )).
fof(rc2_unialg_2,axiom,( ? [A] : ( l1_unialg_1(A) & ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) ) )).
fof(rc2_uniroots,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v1_group_1(A) & v3_group_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) )).
fof(rc2_uproots,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v2_polynom5(A) ) )).
fof(rc2_valued_0,axiom,( ? [A] : ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v4_valued_0(A) ) )).
fof(rc2_valued_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) ) )).
fof(rc2_valued_2,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v12_valued_2(A) ) )).
fof(rc2_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_funct_2(B,u1_struct_0(A)) & v3_vectmetr(B,A) ) ) )).
fof(rc2_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B,A) ) ) )).
fof(rc2_vectsp11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & v1_vectsp11(C,A,B) ) ) )).
fof(rc2_vectsp_1,axiom,( ? [A] : ( l5_algstr_0(A) & ~ v2_struct_0(A) & v4_vectsp_1(A) ) )).
fof(rc2_vectsp_2,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) ) )).
fof(rc2_vectsp_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v2_vectsp_7(C,A,B) ) ) )).
fof(rc2_vectsp_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_vectsp_7(C,A,B) ) ) )).
fof(rc2_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v2_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v17_waybel_0(B,A,A) & v18_waybel_0(B,A,A) & v7_waybel_1(B,A) & v8_waybel_1(B,A) ) ) )).
fof(rc2_waybel11,axiom,( ? [A] : ( l1_orders_2(A) & v8_struct_0(A) & v13_struct_0(A,1) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc2_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v2_waybel12(B,A) ) ) )).
fof(rc2_waybel18,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) )).
fof(rc2_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_9(B,A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_waybel_9(B) & v1_waybel19(B) ) ) )).
fof(rc2_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v8_waybel_0(B,A) & v9_waybel_0(B,A) ) ) )).
fof(rc2_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v6_waybel23(B,A) ) ) )).
fof(rc2_waybel25,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_9(A) & v4_waybel11(A) ) )).
fof(rc2_waybel26,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) ) )).
fof(rc2_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k1_funct_2(A,k1_funct_2(B,C))) & v1_funct_1(D) & v1_partfun1(D,k1_funct_2(A,k1_funct_2(B,C))) & v1_waybel27(D) ) )).
fof(rc2_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_waybel28(B,A) ) ) )).
fof(rc2_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_9(B,A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_waybel_9(B) & v4_waybel11(B) & ~ v1_yellow_3(B) ) ) )).
fof(rc2_waybel30,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A) & v24_waybel_0(A) & v25_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_9(A) & v2_waybel19(A) & v3_waybel_3(A) & ~ v1_yellow_3(A) & v1_compts_1(A) ) )).
fof(rc2_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v2_yellow_0(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & v22_waybel_0(C,A,B) ) ) )).
fof(rc2_waybel35,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_waybel_4(B,A) & v2_waybel_4(B,A) ) ) )).
fof(rc2_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_waybel_0(B,A) & v2_waybel_0(B,A) ) ) )).
fof(rc2_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) ) ) )).
fof(rc2_waybel_3,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) ) )).
fof(rc2_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v5_waybel_4(B,A) & v6_waybel_4(B,A) ) ) )).
fof(rc2_waybel_6,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) ) ) )).
fof(rc2_waybel_7,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(A)) & v2_waybel_0(B,A) & v13_waybel_0(B,A) ) ) )).
fof(rc2_waybel_8,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_8(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_yellow_2(A,A,B)))) & ~ v1_xboole_0(C) & v1_waybel_0(C,k1_yellow_2(A,A,B)) ) ) )).
fof(rc2_waybel_9,axiom,( ? [A] : ( l1_waybel_9(A) & v1_waybel_9(A) ) )).
fof(rc2_wellfnd1,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_wellfnd1(A) ) )).
fof(rc2_xboole_0,axiom,( ? [A] : ~ v1_xboole_0(A) )).
fof(rc2_xcmplx_0,axiom,( ? [A] : v1_xcmplx_0(A) )).
fof(rc2_xreal_0,axiom,( ? [A] : v1_xreal_0(A) )).
fof(rc2_xtuple_0,axiom,( ? [A] : v2_xtuple_0(A) )).
fof(rc2_xxreal_0,axiom,( ? [A] : v1_xxreal_0(A) )).
fof(rc2_xxreal_2,axiom,( ? [A] : ( v6_membered(A) & v1_finset_1(A) & ~ v1_xboole_0(A) ) )).
fof(rc2_xxreal_3,axiom,( ? [A] : ( v1_xxreal_0(A) & v3_xxreal_0(A) & ~ v1_xreal_0(A) ) )).
fof(rc2_yellow12,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & l1_pre_topc(B) ) => ? [C] : ( m3_yellow_9(C,A,B) & ~ v2_struct_0(C) & v1_pre_topc(C) & v2_pre_topc(C) ) ) )).
fof(rc2_yellow13,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_yellow13(C,A,B) & v1_yellow13(C,A,B) ) ) )).
fof(rc2_yellow14,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v1_monoid_0(A) ) )).
fof(rc2_yellow16,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v11_quantal1(B) ) ) )).
fof(rc2_yellow21,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v6_altcat_1(A) & v9_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v1_altcat_2(A) & v2_yellow18(A) & v3_yellow18(A) & v4_yellow18(A) & v1_yellow21(A) & v2_yellow21(A) & v4_yellow21(A) ) )).
fof(rc2_yellow_0,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) ) )).
fof(rc2_yellow_6,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & v4_waybel_3(B) ) )).
fof(rc2_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_yellow_8(B,A) ) ) )).
fof(rc2_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v2_yellow_0(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) ) ) )).
fof(rc2_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) ) ) )).
fof(rc2_zfmisc_1,axiom,( ? [A] : ~ v1_zfmisc_1(A) )).
fof(rc2_zmodul01,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) ) )).
fof(rc2_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & v1_zmodul02(B,A) ) ) )).
fof(rc2_zmodul05,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) ) ) )).
fof(rc2_zmodul06,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v9_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v2_zmodul06(A) ) )).
fof(rc30_aofa_l00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_aofa_l00(C,A,B) & ~ v1_xboole_0(C) ) ) )).
fof(rc32_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v3_relat_1(C) & m1_msafree(C,A,B) ) => ? [D] : ( l3_aofa_l00(D,k4_aofa_l00(A,B,C)) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v14_struct_0(D) & v1_instalg1(D) & v2_aofa_l00(D,A) ) ) )).
fof(rc36_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) & v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) & v24_aofa_l00(D,A,B,C) ) ) )).
fof(rc37_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) & v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) ) ) )).
fof(rc38_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l3_msualg_1(C,B) & ~ v3_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) & v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) & v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & v28_aofa_l00(G,A,B,C,D,E,F) ) ) )).
fof(rc39_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) & v4_msualg_1(C,B) & l1_aofa_a00(C,B) & v2_relat_1(D) & m1_msafree(D,B,C) & ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) & ~ v1_xboole_0(H) & v24_aofa_l00(H,A,E,F) & v25_aofa_l00(H,A,B,C,D,E,F) & v28_aofa_l00(H,A,B,C,D,E,F) & v29_aofa_l00(H,A,B,C,D,E,F,G) ) ) )).
fof(rc3_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_subset_1(B,u4_struct_0(A)) & v2_abcmiz_1(B,A) ) ) )).
fof(rc3_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_instalg1(B,A) & v1_instalg1(B) & v1_abcmiz_1(B) ) ) )).
fof(rc3_abian,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_rat_1(A) & v1_abian(A) ) )).
fof(rc3_afinsq_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) ) ) )).
fof(rc3_algstr_1,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v7_algstr_0(A) & v8_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) ) )).
fof(rc3_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : ( m1_algstr_4(B,A) & v15_algstr_0(B) ) ) )).
fof(rc3_altcat_1,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v6_altcat_1(A) ) )).
fof(rc3_altcat_2,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v1_altcat_2(A) ) )).
fof(rc3_altcat_5,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v6_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v1_altcat_5(A) ) )).
fof(rc3_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v5_ordinal1(C) & ~ v1_xboole_0(C) & v1_zfmisc_1(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & ~ v2_compos_1(C,B) & v3_compos_1(C,B) & v4_compos_1(C,B) & v4_card_3(C) & v2_pre_poly(C) & v5_amistd_1(C,A,B) ) ) )).
fof(rc3_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_2(B,A) ) ) )).
fof(rc3_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) ) ) )).
fof(rc3_analmetr,axiom,( ? [A] : ( l2_analmetr(A) & ~ v2_struct_0(A) ) )).
fof(rc3_analoaf,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v2_analoaf(A) ) )).
fof(rc3_aofa_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(A)) & v5_relat_1(B,A) & ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,A) & v8_comput_1(B,3) ) ) )).
fof(rc3_aofa_a00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l1_aofa_a00(B,A) & v4_msualg_1(B,A) & v1_msafree1(B,A) ) ) )).
fof(rc3_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v4_msualg_1(B,A) & v1_aofa_a01(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( l3_msualg_1(C,A) & v4_msualg_1(C,A) & v4_msafree4(C,A,B) & v9_msafree4(C,A,k5_msafree4(A,B)) & v17_aofa_a00(C,A) & v20_aofa_a00(C,4,1,A) ) ) )).
fof(rc3_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_aofa_l00(C,B) ) ) )).
fof(rc3_armstrng,axiom,( ? [A] : ( l1_armstrng(A) & v2_armstrng(A) ) )).
fof(rc3_asympt_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v1_xreal_0(A) & v1_asympt_0(A) ) )).
fof(rc3_bcialg_1,axiom,( ? [A] : ( l2_bcialg_1(A) & v2_bcialg_1(A) ) )).
fof(rc3_bcialg_3,axiom,( ? [A] : ( l2_bcialg_1(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_3(A) & v6_bcialg_3(A) ) )).
fof(rc3_bcialg_4,axiom,( ? [A] : ( l1_bcialg_4(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v1_bcialg_4(A) & v2_bcialg_4(A) ) )).
fof(rc3_bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ? [E] : ( m1_bcialg_5(E,A,B,C,D) & ~ v2_struct_0(E) & v3_bcialg_1(E) & v4_bcialg_1(E) & v5_bcialg_1(E) & v7_bcialg_1(E) & v8_bcialg_1(E) ) ) )).
fof(rc3_bhsp_1,axiom,( ? [A] : ( l1_bhsp_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_bhsp_1(A) & v2_bhsp_1(A) ) )).
fof(rc3_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & ~ v1_xboole_0(D) & ~ v1_zfmisc_1(D) & v1_relat_1(D) & v4_relat_1(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C))) & v5_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & ~ v3_funct_1(D) & v1_partfun1(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C))) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & v1_bilinear(D,A,B,C) & v2_bilinear(D,A,B,C) & v3_bilinear(D,A,B,C) & v4_bilinear(D,A,B,C) ) ) )).
fof(rc3_bintree1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v2_bintree1(A) ) )).
fof(rc3_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_borsuk_1(B,A) & ~ v1_xboole_0(B) & v1_setfam_1(B) & v2_borsuk_1(B,A) ) ) )).
fof(rc3_borsuk_2,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v1_borsuk_2(A) ) )).
fof(rc3_borsuk_5,axiom,( ? [A] : ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_xxreal_0(A) & v1_rat_1(A) ) )).
fof(rc3_borsuk_6,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v2_compts_1(B,A) ) ) )).
fof(rc3_c0sp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) => ? [B] : ( m2_c0sp1(B,A) & ~ v2_struct_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v14_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v9_rlvect_1(B) & v1_funcsdom(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v6_vectsp_1(B) & v1_group_1(B) & v3_group_1(B) & v5_group_1(B) ) ) )).
fof(rc3_card_1,axiom,( ? [A] : ~ v1_finset_1(A) )).
fof(rc3_card_3,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_funct_1(A) & v2_card_3(A) ) )).
fof(rc3_cat_1,axiom,( ? [A] : ( l1_cat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_cat_1(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) ) )).
fof(rc3_cat_4,axiom,( ? [A] : ( l1_cat_4(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v2_cat_4(A) ) )).
fof(rc3_cat_5,axiom,( ? [A] : ( l1_cat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_cat_1(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) ) )).
fof(rc3_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & ~ v4_cat_6(A) & v5_cat_6(A) & v8_cat_6(A) & v9_cat_6(A) ) )).
fof(rc3_catalg_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & v1_msualg_1(A) & v1_instalg1(A) & v2_catalg_1(A) ) )).
fof(rc3_cayldick,axiom,( ? [A] : ( l1_cayldick(A) & v1_cayldick(A) ) )).
fof(rc3_cfdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k2_numbers) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v1_valued_0(A) & v2_cfdiff_1(A) ) )).
fof(rc3_cfuncdom,axiom,( ? [A] : ( l1_cfuncdom(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_cfuncdom(A) & v2_cfuncdom(A) ) )).
fof(rc3_cgames_1,axiom,( ? [A] : ( l1_cgames_1(A) & v1_cgames_1(A) & v2_cgames_1(A) ) )).
fof(rc3_chord,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_glib_000(A) & v6_chord(A) ) )).
fof(rc3_circcmb3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m1_circcmb3(B,A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v1_msualg_1(B) & v2_msafree2(B) & v1_circcomb(B) & v2_circcomb(B) & v5_circcomb(B) & v4_circcmb3(B) ) ) )).
fof(rc3_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v6_circcomb(B,A) ) ) )).
fof(rc3_clopban1,axiom,( ? [A] : ( l2_clvect_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v3_clopban1(A) ) )).
fof(rc3_clopban2,axiom,( ? [A] : ( l1_clopban2(A) & ~ v2_struct_0(A) ) )).
fof(rc3_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_closure1(B,A) & v5_closure1(B,A) ) ) )).
fof(rc3_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & ~ v1_xboole_0(C) & v4_funct_1(C) & v2_card_3(C) & v1_closure2(C,A,B) & v2_closure2(C,A,B) & v3_closure2(C,A,B) & v4_closure2(C,A,B) & v5_closure2(C,A,B) & v6_closure2(C,A,B) ) ) )).
fof(rc3_clvect_1,axiom,( ? [A] : ( l1_clvect_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_clvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) ) )).
fof(rc3_cohsp_1,axiom,( ? [A] : ( v1_finset_1(A) & v1_cohsp_1(A) & v2_cohsp_1(A) ) )).
fof(rc3_collsp,axiom,( ? [A] : ( l1_collsp(A) & ~ v2_struct_0(A) & v1_collsp(A) & v2_collsp(A) & v3_collsp(A) ) )).
fof(rc3_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v3_compl_sp(B,A) ) ) )).
fof(rc3_compos_0,axiom,( ? [A] : ( v1_compos_0(A) & v5_compos_0(A) ) )).
fof(rc3_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_zfmisc_1(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) ) )).
fof(rc3_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v2_compos_1(B,A) & v3_compos_1(B,A) & v4_compos_1(B,A) & v1_compos_2(B,A) ) ) )).
fof(rc3_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_compts_1(B,A) ) ) )).
fof(rc3_comput_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) ) )).
fof(rc3_comseq_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_valued_0(A) & v2_comseq_3(A) ) )).
fof(rc3_conlat_1,axiom,( ? [A] : ( l1_conlat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_conlat_1(A) ) )).
fof(rc3_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_convex3(B,A) ) ) )).
fof(rc3_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_convex4(B,A) ) ) )).
fof(rc3_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_dilworth(B,A) ) ) )).
fof(rc3_e_siec,axiom,( ? [A] : ( l1_e_siec(A) & v3_e_siec(A) ) )).
fof(rc3_ec_pf_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_int_3(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) )).
fof(rc3_eqrel_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) & ~ v1_xboole_0(B) & v1_eqrel_1(B,A) ) )).
fof(rc3_equation,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_msualg_6(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v1_msualg_6(C,A) ) ) )).
fof(rc3_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & v4_funct_1(B) & v3_finseq_1(B) & v3_euclid_7(B) ) ) )).
fof(rc3_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_valued_0(B) & v3_valued_0(B) & v4_valued_0(B) & v1_finset_1(B) & v1_exchsort(B) & v2_exchsort(B,A) ) ) )).
fof(rc3_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & v13_struct_0(B,1) & v2_memstr_0(B,A) ) ) )).
fof(rc3_facirc_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v2_funct_1(B) & v1_finset_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_finseq_1(B) & v4_card_3(B) & v2_facirc_1(B) ) ) )).
fof(rc3_fcont_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k1_numbers) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k1_numbers) & v1_funct_2(A,k1_numbers,k1_numbers) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_fcont_1(A) ) )).
fof(rc3_fdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_relat_1(A) & v4_relat_1(A,k1_numbers) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v3_fdiff_1(A) ) )).
fof(rc3_finseq_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) )).
fof(rc3_finseq_5,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & ~ v1_zfmisc_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc3_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) ) )).
fof(rc3_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ? [C] : v2_fomodel0(C,A,B) ) )).
fof(rc3_fomodel1,axiom,( ? [A] : ( l1_fomodel1(A) & ~ v6_struct_0(A) ) )).
fof(rc3_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v2_fomodel2(D,A,B,C) ) ) )).
fof(rc3_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_fomodel3(E,C,D) ) ) )).
fof(rc3_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : v1_fomodel4(B,A) ) )).
fof(rc3_freealg,axiom,( ? [A] : ( m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc3_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( l2_fsm_1(C,A,B) & v2_fsm_1(C,A,B) ) ) )).
fof(rc3_fsm_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( l2_fsm_2(C,A,B) & v6_fsm_2(C,A,B) ) ) )).
fof(rc3_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ? [C] : ( l2_fsm_3(C,A,B) & v3_fsm_3(C,A,B) ) ) )).
fof(rc3_funcop_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v3_funct_1(C) & v1_partfun1(C,A) & v1_funct_2(C,A,B) ) ) )).
fof(rc3_funcsdom,axiom,( ? [A] : ( l1_funcsdom(A) & ~ v2_struct_0(A) ) )).
fof(rc3_funct_1,axiom,( ? [A] : ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) )).
fof(rc3_funct_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_xreal_0(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_funct_9(B,A) ) ) )).
fof(rc3_functor0,axiom,( ! [A] : ! [B] : ( ( l1_altcat_1(A) & l1_altcat_1(B) ) => ? [C] : ( l2_functor0(C,A,B) & v9_functor0(C,A,B) ) ) )).
fof(rc3_fvaluat1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_fvaluat1(A) ) )).
fof(rc3_gaussint,axiom,( ? [A] : ( l1_gaussint(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_gaussint(A) & v3_gaussint(A) ) )).
fof(rc3_gcd_1,axiom,( ? [A] : ( l4_algstr_0(A) & ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v3_gcd_1(A) ) )).
fof(rc3_geomtrap,axiom,( ? [A] : ( l1_geomtrap(A) & ~ v2_struct_0(A) & v1_geomtrap(A) & v2_geomtrap(A) ) )).
fof(rc3_glib_000,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) & v7_glib_000(A) ) )).
fof(rc3_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) ) => ? [C] : ( m4_glib_001(C,A,B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v4_glib_001(C,A) & v5_glib_001(C,A) ) ) )).
fof(rc3_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : ( m1_glib_000(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) & v4_glib_000(B) & v3_glib_002(B) ) ) )).
fof(rc3_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ? [B] : ( m1_glib_000(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v1_glib_003(B) & v4_glib_003(B,A) ) ) )).
fof(rc3_graph_1,axiom,( ? [A] : ( l1_graph_1(A) & v6_graph_1(A) ) )).
fof(rc3_graph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m1_graph_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v2_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v3_graph_2(B,A) ) ) )).
fof(rc3_grcat_1,axiom,( ? [A] : ( l1_grcat_1(A) & v1_grcat_1(A) & v2_grcat_1(A) ) )).
fof(rc3_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ? [C] : ( m1_group_19(C,A,B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,A) & v2_pralg_1(C) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) & v2_group_19(C,A,B) ) ) )).
fof(rc3_group_2,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) ) )).
fof(rc3_group_7,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & v4_group_7(B,A) ) )).
fof(rc3_group_9,axiom,( ! [A] : ? [B] : ( l1_group_9(B,A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v2_group_9(B,A) & v3_group_9(B,A) ) )).
fof(rc3_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ? [B] : ( l3_algstr_0(B) & ~ v2_struct_0(B) & v8_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & v1_gr_cy_1(B) & v3_groupp_1(B,A) ) ) )).
fof(rc3_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v4_hahnban1(B,k1_complfld,A) & v5_hahnban1(B,A) & v6_hahnban1(B,A) ) ) )).
fof(rc3_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k1_zfmisc_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_hallmar1(B,A) ) ) )).
fof(rc3_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v5_relat_1(B,u1_struct_0(k1_complfld)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v1_bilinear(B,k1_complfld,A,A) & v2_bilinear(B,k1_complfld,A,A) & v4_bilinear(B,k1_complfld,A,A) & v1_valued_0(B) & v2_hermitan(B,A,A) & v3_hermitan(B,A) & v4_hermitan(B,A) & v5_hermitan(B,A) ) ) )).
fof(rc3_hilbert3,axiom,( ? [A] : ( m1_subset_1(A,k1_hilbert1) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_hilbert3(A) ) )).
fof(rc3_hilbert4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_funct_1(B) & v2_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v2_funct_2(B,A) & v3_funct_2(B,A,A) & v1_partit_2(B) & v4_fomodel0(B) ) ) )).
fof(rc3_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v4_hurwitz2(B,A) ) ) )).
fof(rc3_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) ) ) )).
fof(rc3_index_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) ) )).
fof(rc3_instalg1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_instalg1(B,A) & ~ v11_struct_0(B) & v1_instalg1(B) ) ) )).
fof(rc3_int_1,axiom,( ? [A] : v2_int_1(A) )).
fof(rc3_int_3,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v8_struct_0(A) & v13_algstr_0(A) & v36_algstr_0(A) & v1_group_1(A) & v3_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) ) )).
fof(rc3_int_6,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_partfun3(A) ) )).
fof(rc3_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_tops_1(B,A) & v6_tops_1(B,A) ) ) )).
fof(rc3_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v4_funct_1(B) & ~ v1_xboole_0(B) & v3_pre_topc(B,k15_euclid(A)) & v9_rltopsp1(B,k15_euclid(A)) & v1_convex1(B,k15_euclid(A)) ) ) )).
fof(rc3_jordan23,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & ~ v1_xboole_0(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc3_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_prob_1(B,u1_struct_0(A)) & v1_kurato_1(B,A) ) ) )).
fof(rc3_lang1,axiom,( ? [A] : ( l2_lang1(A) & v2_lang1(A) ) )).
fof(rc3_lattad_1,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) ) )).
fof(rc3_lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) ) ) )).
fof(rc3_lattice6,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v4_lattice3(A) & v2_lattice6(A) ) )).
fof(rc3_lattice7,axiom,( ? [A] : ( m2_lattice7(A) & ~ v1_xboole_0(A) ) )).
fof(rc3_lattices,axiom,( ? [A] : ( l3_lattices(A) & v3_lattices(A) ) )).
fof(rc3_lexbfs,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v13_glib_000(A) & v2_lexbfs(A) & v3_lexbfs(A) ) )).
fof(rc3_lopban_1,axiom,( ? [A] : ( l1_normsp_1(A) & ~ v2_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v9_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) ) )).
fof(rc3_lopban_2,axiom,( ? [A] : ( l1_lopban_2(A) & ~ v2_struct_0(A) ) )).
fof(rc3_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(A)) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v2_margrel1(B) & v3_margrel1(B,A) ) ) )).
fof(rc3_matrix10,axiom,( ? [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k3_finseq_2(k1_numbers)) & v1_funct_1(A) & v1_finseq_1(A) & v1_matrix_0(A) & v1_matrix10(A) & v4_matrix10(A) ) )).
fof(rc3_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(u1_struct_0(A))) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_funcop_1(B) & v2_funcop_1(B) & v1_matrix_0(B) & v1_matrix_1(B,A) ) ) )).
fof(rc3_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(A)) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(A)) & v1_funct_1(B) & v1_funcop_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_pre_poly(B) & v2_pre_poly(B) & v1_matrix_0(B) ) ) )).
fof(rc3_matrix_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) )).
fof(rc3_matrix_9,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2),k2_finseq_1(2)))) & v1_relat_1(A) & v4_relat_1(A,k2_finseq_1(2)) & v5_relat_1(A,k2_finseq_1(2)) & v1_funct_1(A) & v2_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k2_finseq_1(2)) & v1_funct_2(A,k2_finseq_1(2),k2_finseq_1(2)) & v2_funct_2(A,k2_finseq_1(2)) & v3_funct_2(A,k2_finseq_1(2),k2_finseq_1(2)) & v1_finset_1(A) & ~ v6_matrix_1(A,2) ) )).
fof(rc3_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_funcop_1(B) & v2_funcop_1(B) & v1_matrixj1(B,u1_struct_0(A)) & v2_matrixj1(B,u1_struct_0(A)) & v1_matrixj2(B,A) ) ) )).
fof(rc3_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & v3_pre_topc(B,A) ) ) )).
fof(rc3_matrprob,axiom,( ? [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) & v1_relat_1(A) & ~ v3_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k3_finseq_2(k1_numbers)) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_funcop_1(A) & v1_matrix_0(A) & v1_pre_poly(A) & v6_matrprob(A) ) )).
fof(rc3_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k15_euclid(A))) & v5_relat_1(B,u1_struct_0(k15_euclid(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(k15_euclid(A))) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v1_funcop_1(B) & v2_funcop_1(B) & v1_pre_poly(B) & v3_matrtop3(B,A) ) ) )).
fof(rc3_measure1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v4_card_3(B) ) )).
fof(rc3_measure5,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v3_measure5(A) ) )).
fof(rc3_measure6,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) )).
fof(rc3_membered,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v6_membered(A) & v7_membered(A) ) )).
fof(rc3_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_memstr_0(B,A) & v2_memstr_0(B,A) ) ) )).
fof(rc3_metric_1,axiom,( ? [A] : ( l1_metric_1(A) & ~ v2_struct_0(A) & v1_metric_1(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) ) )).
fof(rc3_mfold_0,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( l1_pre_topc(B) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & v1_mfold_0(B) & v2_mfold_0(B,A) & ~ v3_mfold_0(B) ) ) )).
fof(rc3_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_pre_topc(B) & ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_1(B,A) ) ) )).
fof(rc3_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ? [B] : ( l1_midsp_2(B,A) & v4_midsp_2(B,A) ) ) )).
fof(rc3_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_midsp_3(B,k1_nat_1(A,2)) & ~ v2_struct_0(B) & v2_midsp_1(B) ) ) )).
fof(rc3_mod_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ? [D] : ( m1_mod_2(D,A,B,C) & v2_mod_2(D,A) & v3_mod_2(D,A) ) ) )).
fof(rc3_modal_1,axiom,( ? [A] : ( m1_subset_1(A,k6_modal_1) & v1_relat_1(A) & v5_relat_1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v3_modal_1(A) ) )).
fof(rc3_modelc_1,axiom,( ? [A] : ( l2_modelc_1(A) & v9_modelc_1(A) ) )).
fof(rc3_modelc_2,axiom,( ? [A] : ( l1_modelc_2(A) & ~ v2_struct_0(A) ) )).
fof(rc3_modelc_3,axiom,( ? [A] : ( m1_finseq_1(A,k4_ordinal1) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_modelc_2(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v5_modelc_3(A) ) )).
fof(rc3_moebius1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_finset_1(A) & v1_card_1(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_moebius1(A) ) )).
fof(rc3_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v4_msafree2(B,A) ) ) )).
fof(rc3_msafree4,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msafree4(B,A) ) )).
fof(rc3_msalimit,axiom,( ? [A] : ( l1_msualg_1(A) & v2_struct_0(A) & v11_struct_0(A) & v1_msualg_1(A) ) )).
fof(rc3_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m1_graph_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v2_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v7_graph_1(B,A) ) ) )).
fof(rc3_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v3_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) ) )).
fof(rc3_msualg_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_msualg_1(A) ) )).
fof(rc3_msualg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v3_msualg_1(C,A) & v4_msualg_1(C,A) ) ) )).
fof(rc3_msualg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) ) ) )).
fof(rc3_mycielsk,axiom,( ! [A] : ( ( v1_mycielsk(A) & l1_orders_2(A) ) => ? [B] : ( m1_eqrel_1(B,u1_struct_0(A)) & ~ v10_ordinal1(B) & v1_finset_1(B) & v1_setfam_1(B) & v6_dilworth(B,A) ) ) )).
fof(rc3_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v2_nagata_1(B,A) ) ) )).
fof(rc3_nat_1,axiom,( ? [A] : ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) )).
fof(rc3_nat_3,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v2_pre_poly(B) ) )).
fof(rc3_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & v7_ordinal1(B) & v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v2_int_1(B) & v1_int_2(B) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) & v1_nat_6(B,A) ) ) )).
fof(rc3_nattra_1,axiom,( ? [A] : ( l1_cat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_cat_1(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) ) )).
fof(rc3_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v3_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) ) ) )).
fof(rc3_normsp_1,axiom,( ? [A] : ( l1_normsp_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_normsp_1(A) & v2_normsp_1(A) ) )).
fof(rc3_numpoly1,axiom,( ? [A] : ( ~ v8_ordinal1(A) & v1_numpoly1(A) ) )).
fof(rc3_oposet_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v1_partit_2(B) ) )).
fof(rc3_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v6_orders_2(B,A) ) ) )).
fof(rc3_ordinal1,axiom,( ? [A] : v3_ordinal1(A) )).
fof(rc3_ordinal5,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v4_ordinal5(A) ) )).
fof(rc3_ordinal6,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & ~ v1_xboole_0(A) & v2_ordinal6(A) ) )).
fof(rc3_osalg_1,axiom,( ? [A] : ( l3_osalg_1(A) & v3_osalg_1(A) ) )).
fof(rc3_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m2_osalg_2(C,A,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) ) )).
fof(rc3_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_osalg_4(C,A,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v2_msualg_4(C,A,B) ) ) )).
fof(rc3_papdesaf,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v1_diraf(A) & v2_aff_2(A) & v4_aff_2(A) & v7_aff_2(A) & v11_aff_2(A) & v1_translac(A) ) )).
fof(rc3_parsp_1,axiom,( ? [A] : ( l1_parsp_1(A) & ~ v2_struct_0(A) & v1_parsp_1(A) & v2_parsp_1(A) ) )).
fof(rc3_partfun1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & ~ v1_xboole_0(C) ) ) )).
fof(rc3_partfun3,axiom,( ? [A] : ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) ) )).
fof(rc3_pboole,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) )).
fof(rc3_pcomps_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v3_pcomps_1(A) ) )).
fof(rc3_pcs_0,axiom,( ? [A] : ( l1_pcs_0(A) & v2_pcs_0(A) ) )).
fof(rc3_pencil_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) ) )).
fof(rc3_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_df(A) & l1_petri(A) ) => ? [B] : ( m1_finseq_1(B,k2_net_1(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k2_net_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v2_petri_df(B,A) ) ) )).
fof(rc3_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,k15_pre_poly(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,k15_pre_poly(A)) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) ) ) )).
fof(rc3_polynom7,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & l2_struct_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,k15_pre_poly(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & v1_polynom7(C,A,B) ) ) )).
fof(rc3_poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_poset_1(C,A,B) ) ) )).
fof(rc3_poset_2,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & ~ v1_yellow_3(A) & v1_poset_2(A) ) )).
fof(rc3_pralg_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) ) )).
fof(rc3_pre_poly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) & ~ v1_xboole_0(B) & v1_setfam_1(B) ) ) )).
fof(rc3_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) ) ) )).
fof(rc3_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,B) & v5_relat_1(C,k9_setfam_1(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) ) ) )).
fof(rc3_pscomp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,k1_numbers) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v1_valued_0(C) & v2_valued_0(C) & v3_valued_0(C) & v1_pscomp_1(C,B) ) ) )).
fof(rc3_pythtrip,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v1_xreal_0(A) & v1_int_1(A) & v1_abian(A) & v1_pythtrip(A) ) )).
fof(rc3_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & ~ v1_xboole_0(B) & v1_henmodel(B,A) ) ) )).
fof(rc3_qmax_1,axiom,( ? [A] : ( l2_qmax_1(A) & v3_qmax_1(A) ) )).
fof(rc3_ranknull,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_vectsp_7(C,A,B) ) ) )).
fof(rc3_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) ) => ? [B] : ( m1_ratfunc1(B,A) & ~ v4_ratfunc1(B,A) ) ) )).
fof(rc3_rcomp_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) & v4_pre_topc(B,A) & v2_connsp_1(B,A) ) ) )).
fof(rc3_relat_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) ) )).
fof(rc3_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v1_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) ) ) )).
fof(rc3_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_ringcat1(C,A,B) & v2_ringcat1(C) & v3_ringcat1(C) ) ) )).
fof(rc3_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v2_rlaffin1(B,A) ) ) )).
fof(rc3_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_rltopsp1(B,A) ) ) )).
fof(rc3_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_rlvect_5(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_rlsub_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v1_rlvect_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v1_rlvect_5(B) ) ) )).
fof(rc3_roughs_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v1_prob_2(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc3_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_relat_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(B) & v1_partfun1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_2(B,k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & v7_roughs_2(B,A) ) ) )).
fof(rc3_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ? [B] : ( m1_rusub_1(B,A) & ~ v2_struct_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v9_rlvect_1(B) & v1_bhsp_1(B) & v2_bhsp_1(B) & v1_rusub_4(B) ) ) )).
fof(rc3_rvsum_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_valued_0(A) & v3_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc3_scm_halt,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v4_card_3(A) & v1_afinsq_1(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v2_pre_poly(A) & v1_scm_halt(A) & v2_scm_halt(A) ) )).
fof(rc3_scmpds_4,axiom,( ? [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) & v4_scmpds_4(A) ) )).
fof(rc3_scmyciel,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v5_finset_1(A) ) )).
fof(rc3_seqm_3,axiom,( ? [A] : ( m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v5_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc3_setfam_1,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ? [B] : ( m1_subset_1(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc3_simplex0,axiom,( ! [A] : ? [B] : ( m1_simplex0(B,A) & v2_struct_0(B) & v1_pre_topc(B) & v3_pencil_1(B) & v4_simplex0(B) ) )).
fof(rc3_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_card_1(B,1) & v1_rlaffin1(B,A) ) ) )).
fof(rc3_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_simplex0(B,u1_struct_0(k15_euclid(A))) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v4_matroid0(B) & v6_simplex0(B,u1_struct_0(k15_euclid(A))) & v1_simplex1(B,k15_euclid(A)) & v2_simplex1(B,k15_euclid(A)) & v2_simplex2(B,A) ) ) )).
fof(rc3_sppol_2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v5_topreal1(A) ) )).
fof(rc3_sprect_1,axiom,( ? [A] : ( m1_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k15_euclid(2))) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_sprect_1(A) ) )).
fof(rc3_srings_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_setfam_1(B) & v1_srings_1(B,A) & v2_srings_1(B,A) & v3_srings_1(B,A) ) )).
fof(rc3_stacks_1,axiom,( ? [A] : ( l1_stacks_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_stacks_1(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) ) )).
fof(rc3_subset_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_subset_1(B,A) ) )).
fof(rc3_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_symsp_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) ) ) )).
fof(rc3_taxonom2,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v4_taxonom2(B) ) )).
fof(rc3_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) ) ) )).
fof(rc3_tdlat_3,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v1_tdlat_3(A) & v2_tdlat_3(A) ) )).
fof(rc3_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & v1_relat_1(B) & v4_relat_1(B,k15_pre_poly(A)) & v5_relat_1(B,k15_pre_poly(A)) & v1_partfun1(B,k15_pre_poly(A)) & v1_funct_2(B,k15_pre_poly(A),k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) ) ) )).
fof(rc3_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & v13_struct_0(A,1) & v1_pre_topc(A) & v2_pre_topc(A) ) )).
fof(rc3_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_zfmisc_1(B) & v1_subset_1(B,u1_struct_0(A)) ) ) )).
fof(rc3_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tex_3(B,A) ) ) )).
fof(rc3_topalg_2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v6_xxreal_2(A) ) )).
fof(rc3_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_topalg_6(A)) & v1_relat_1(B) & v1_funct_1(B) & v7_topalg_6(B,A) ) ) )).
fof(rc3_topdim_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_topdim_1(A) ) )).
fof(rc3_topgen_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) ) )).
fof(rc3_topgen_4,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v5_waybel23(A) ) )).
fof(rc3_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_tops_1(B,A) ) ) )).
fof(rc3_topmetr,axiom,( ? [A] : ( l1_struct_0(A) & ~ v2_struct_0(A) & v3_topmetr(A) ) )).
fof(rc3_toprealc,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(k3_topmetr)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v5_pre_topc(B,A,k3_topmetr) ) ) )).
fof(rc3_tops_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v3_pre_topc(B,A) & v4_pre_topc(B,A) ) ) )).
fof(rc3_trees_1,axiom,( ? [A] : v2_trees_1(A) )).
fof(rc3_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : ( m1_trees_2(B,A) & v2_trees_2(B,A) ) ) )).
fof(rc3_trees_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_trees_3)) & ~ v1_xboole_0(A) & v1_trees_3(A) & v2_trees_3(A) ) )).
fof(rc3_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : ( m1_subset_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k4_ordinal1) & v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc3_tsp_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v6_pre_topc(A) ) )).
fof(rc3_unialg_1,axiom,( ? [A] : ( l1_unialg_1(A) & ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) ) )).
fof(rc3_valued_0,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v4_valued_0(A) & v5_valued_0(A) ) )).
fof(rc3_valued_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) )).
fof(rc3_vectmetr,axiom,( ? [A] : ( l1_vectmetr(A) & v4_vectmetr(A) ) )).
fof(rc3_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) ) ) )).
fof(rc3_vectsp_1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v3_group_1(A) & v5_group_1(A) ) )).
fof(rc3_vectsp_2,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_vectsp_2(B,A) & v2_vectsp_2(B,A) ) ) )).
fof(rc3_vectsp_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_vectsp_4(C,A,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) ) ) )).
fof(rc3_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_waybel11(B,A) & v3_waybel11(B,A) ) ) )).
fof(rc3_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) & v4_card_3(B) & v3_waybel12(B,A) ) ) )).
fof(rc3_waybel19,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_9(B,A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_yellow_0(B) & v2_yellow_0(B) & v3_yellow_0(B) & v24_waybel_0(B) & v25_waybel_0(B) & v1_waybel_9(B) & ~ v1_yellow_3(B) & v2_waybel19(B) ) ) )).
fof(rc3_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_waybel23(B,A) ) ) )).
fof(rc3_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k1_funct_2(k2_zfmisc_1(A,B),C)) & v1_funct_1(D) & v1_partfun1(D,k1_funct_2(k2_zfmisc_1(A,B),C)) & v2_waybel27(D) ) )).
fof(rc3_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_9(B,A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v4_waybel11(B) ) ) )).
fof(rc3_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) & v21_waybel_0(C,A,B) ) ) )).
fof(rc3_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_0(B,A) & ~ v2_struct_0(B) & v1_orders_2(B) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & v8_yellow_0(B,A) ) ) )).
fof(rc3_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(B,A) ) ) )).
fof(rc3_waybel_3,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) )).
fof(rc3_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & v1_waybel_6(B,A) ) ) )).
fof(rc3_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & v1_waybel_7(B,A) ) ) )).
fof(rc3_waybel_9,axiom,( ? [A] : ( l1_waybel_9(A) & v8_struct_0(A) & v13_struct_0(A,1) & v1_tdlat_3(A) & v3_orders_2(A) & v1_waybel_9(A) ) )).
fof(rc3_wellfnd1,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_wellfnd1(B,A) ) ) )).
fof(rc3_xcmplx_0,axiom,( ? [A] : ( v8_ordinal1(A) & v1_xcmplx_0(A) ) )).
fof(rc3_xreal_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc3_xtuple_0,axiom,( ? [A] : v3_xtuple_0(A) )).
fof(rc3_xxreal_0,axiom,( ? [A] : ( v1_xxreal_0(A) & v2_xxreal_0(A) ) )).
fof(rc3_xxreal_2,axiom,( ? [A] : ( v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A) & v6_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) & v5_xxreal_2(A) ) )).
fof(rc3_yellow12,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & l1_pre_topc(B) ) => ? [C] : ( m3_yellow_9(C,B,A) & ~ v2_struct_0(C) & v1_pre_topc(C) & v2_pre_topc(C) ) ) )).
fof(rc3_yellow13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_yellow13(C,A,B) & ~ v1_xboole_0(C) & v1_yellow13(C,A,B) ) ) )).
fof(rc3_yellow14,axiom,( ! [A] : ( ( v1_monoid_0(A) & l1_struct_0(A) ) => ? [B] : ( l1_waybel_0(B,A) & v6_waybel_0(B,A) & v1_yellow14(B,A) ) ) )).
fof(rc3_yellow16,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) ) )).
fof(rc3_yellow21,axiom,( ? [A] : ( v1_relat_1(A) & v2_wellord1(A) ) )).
fof(rc3_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_yellow_0(B,A) & v1_orders_2(B) & v4_yellow_0(B,A) ) ) )).
fof(rc3_yellow_6,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v4_orders_2(A) & v7_waybel_0(A) ) )).
fof(rc3_yellow_8,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v4_yellow_8(A) ) )).
fof(rc3_yellow_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) ) ) )).
fof(rc3_zmodul01,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_zmodul01(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) ) )).
fof(rc3_zmodul03,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) & v1_zmodul01(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) ) )).
fof(rc3_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_zmodul02(B,A) ) ) )).
fof(rc3_zmodul06,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v9_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & ~ v2_zmodul06(A) ) )).
fof(rc4_abcmiz_0,axiom,( ? [A] : ( l2_abcmiz_0(A) & v7_abcmiz_0(A) ) )).
fof(rc4_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v5_abcmiz_1(B,A,k28_abcmiz_1(A)) ) ) )).
fof(rc4_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_instalg1(B,A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v1_instalg1(B) & v1_abcmiz_1(B) & v3_abcmiz_1(B) ) ) )).
fof(rc4_abian,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_rat_1(A) & ~ v1_abian(A) ) )).
fof(rc4_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_card_1(B,A) ) ) )).
fof(rc4_algstr_0,axiom,( ? [A] : ( l2_algstr_0(A) & v8_algstr_0(A) ) )).
fof(rc4_algstr_1,axiom,( ? [A] : ( l4_algstr_0(A) & ~ v2_struct_0(A) & v21_algstr_0(A) & v22_algstr_0(A) & v4_vectsp_1(A) & v5_algstr_1(A) ) )).
fof(rc4_algstr_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ? [B] : ( m1_algstr_4(B,A) & ~ v2_struct_0(B) ) ) )).
fof(rc4_altcat_1,axiom,( ! [A] : ! [B] : ( ( v4_funct_1(A) & v4_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,B)) & v1_funcop_1(C) & v2_funcop_1(C) & v7_altcat_1(C) ) ) )).
fof(rc4_altcat_2,axiom,( ? [A] : ( l2_altcat_1(A) & v2_struct_0(A) & v6_altcat_1(A) ) )).
fof(rc4_altcat_5,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v4_altcat_5(A) ) )).
fof(rc4_amistd_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) & v4_card_3(C) & v2_pre_poly(C) & v6_amistd_1(C,A,B) ) ) )).
fof(rc4_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_1(B,A) & v2_amistd_2(B,A) ) ) )).
fof(rc4_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & v5_amistd_5(B,A) & v6_amistd_5(B,A) ) ) )).
fof(rc4_analmetr,axiom,( ? [A] : ( l1_analmetr(A) & ~ v2_struct_0(A) ) )).
fof(rc4_analoaf,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_analoaf(A) & v2_analoaf(A) & v3_analoaf(A) ) )).
fof(rc4_aofa_a00,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l1_aofa_a00(C,A) & v1_msafree1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v1_aofa_a00(C,A) ) ) )).
fof(rc4_aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( l1_aofa_a00(C,A) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_msafree1(C,A) & v1_aofa_a01(C,A) ) ) )).
fof(rc4_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) ) => ? [D] : ( m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & v1_relat_1(D) & v4_relat_1(D,k2_zfmisc_1(k9_funct_2(B,k4_numbers),u1_struct_0(A))) & v5_relat_1(D,k9_funct_2(B,k4_numbers)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_partfun1(D,k2_zfmisc_1(k9_funct_2(B,k4_numbers),u1_struct_0(A))) & v1_funct_2(D,k2_zfmisc_1(k9_funct_2(B,k4_numbers),u1_struct_0(A)),k9_funct_2(B,k4_numbers)) & v1_funcop_1(D) & v2_funcop_1(D) & v13_aofa_000(D,A,k9_funct_2(B,k4_numbers)) & v14_aofa_000(D,A,k9_funct_2(B,k4_numbers)) & v1_aofa_i00(D,A,B,C) ) ) )).
fof(rc4_armstrng,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k9_setfam_1(A)) & v5_relat_1(B,k9_setfam_1(A)) & v1_finset_1(B) ) )).
fof(rc4_asympt_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc4_bcialg_1,axiom,( ? [A] : ( l2_bcialg_1(A) & ~ v2_struct_0(A) & v2_bcialg_1(A) ) )).
fof(rc4_bcialg_4,axiom,( ? [A] : ( l1_bcialg_4(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_4(A) & v2_bcialg_4(A) ) )).
fof(rc4_bilinear,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v7_bilinear(C,A,B) ) ) )).
fof(rc4_bintree1,axiom,( ? [A] : ( l1_lang1(A) & ~ v2_struct_0(A) & v1_lang1(A) & v1_dtconstr(A) & v2_dtconstr(A) & v3_dtconstr(A) & v3_bintree1(A) ) )).
fof(rc4_borsuk_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_borsuk_2(C,A,B,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k5_topmetr)) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v3_funct_1(C) & v1_partfun1(C,u1_struct_0(k5_topmetr)) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(A)) ) ) )).
fof(rc4_borsuk_5,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_tops_2(B,A) & v2_tops_2(B,A) ) ) )).
fof(rc4_card_1,axiom,( ? [A] : ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) )).
fof(rc4_card_3,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v3_card_3(A) ) )).
fof(rc4_cat_5,axiom,( ? [A] : ( l1_cat_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_cat_1(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v1_cat_5(A) & v3_cat_5(A) & v4_cat_5(A) ) )).
fof(rc4_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & ~ v6_cat_6(A) & v7_cat_6(A) & v8_cat_6(A) & v10_cat_6(A) ) )).
fof(rc4_catalg_1,axiom,( ! [A] : ? [B] : ( m1_catalg_1(B,A) & v1_msualg_1(B) & v1_instalg1(B) & v2_catalg_1(B) ) )).
fof(rc4_cayldick,axiom,( ? [A] : ( l1_cayldick(A) & ~ v7_struct_0(A) & v1_cayldick(A) ) )).
fof(rc4_cfdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k2_numbers) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v1_valued_0(A) & v3_cfdiff_1(A) ) )).
fof(rc4_cgames_1,axiom,( ? [A] : v2_cgames_1(A) )).
fof(rc4_chord,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v7_glib_000(A) & v6_chord(A) ) )).
fof(rc4_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v4_circcmb3(B) & m1_circcmb3(B,A) ) => ? [C] : ( m2_circcmb3(C,A,B) & v3_msualg_1(C,B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & v4_circcomb(C,B) & v5_circcmb3(C,B) ) ) )).
fof(rc4_circcomb,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msualg_1(A) & v1_circcomb(A) & v2_circcomb(A) & v3_circcomb(A) & v5_circcomb(A) ) )).
fof(rc4_clopban2,axiom,( ? [A] : ( l1_clopban2(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v1_clopban2(A) ) )).
fof(rc4_closure1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_closure1(B,A) & v4_msualg_1(B,A) & v5_closure1(B,A) & v6_closure1(B,A) & v7_closure1(B,A) & v8_closure1(B,A) & v9_closure1(B,A) & v10_closure1(B,A) & v11_closure1(B,A) ) ) )).
fof(rc4_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ? [B] : ( m1_clvect_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_clvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) ) ) )).
fof(rc4_cohsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_finset_1(B) & v1_cohsp_1(B) & v2_cohsp_1(B) ) ) )).
fof(rc4_collsp,axiom,( ? [A] : ( l1_collsp(A) & ~ v2_struct_0(A) & v1_collsp(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) ) )).
fof(rc4_compl_sp,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v4_compl_sp(B,A) ) ) )).
fof(rc4_compos_0,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) & v5_compos_0(A) ) )).
fof(rc4_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_zfmisc_1(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) ) )).
fof(rc4_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,A) ) ) )).
fof(rc4_compts_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_tops_2(B,A) ) ) )).
fof(rc4_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) )).
fof(rc4_comseq_3,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v1_valued_0(A) & v2_comseq_3(A) ) )).
fof(rc4_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l5_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) ) ) )).
fof(rc4_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v2_convex4(B,A) ) ) )).
fof(rc4_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_dilworth(B,A) ) ) )).
fof(rc4_e_siec,axiom,( ? [A] : ( l1_e_siec(A) & v1_e_siec(A) & v2_e_siec(A) & v3_e_siec(A) ) )).
fof(rc4_ec_pf_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_int_3(A) & v1_vectsp_1(A) & v2_vectsp_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_ec_pf_1(A) ) )).
fof(rc4_eqrel_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_eqrel_1(B,A) & ~ v1_xboole_0(B) & v1_setfam_1(B) & ~ v10_ordinal1(B) ) ) )).
fof(rc4_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & v4_funct_1(B) & v3_finseq_1(B) & v5_euclid_7(B,A) ) ) )).
fof(rc4_exchsort,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(B) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_exchsort(C) & v2_exchsort(C,A) ) ) )).
fof(rc4_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_extpro_1(B,A) ) ) )).
fof(rc4_facirc_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_card_3(A) & v2_facirc_1(A) ) )).
fof(rc4_finseq_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc4_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) & v1_finset_1(C) ) ) )).
fof(rc4_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : v3_fomodel0(B,A) ) )).
fof(rc4_fomodel1,axiom,( ? [A] : ( l1_fomodel1(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v11_fomodel1(A) ) )).
fof(rc4_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & ~ v8_ordinal1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v2_pre_poly(C) & v3_fomodel2(C,A,B) ) ) )).
fof(rc4_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v2_funct_2(C,B) ) ) )).
fof(rc4_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : v2_fomodel4(B,A) ) )).
fof(rc4_freealg,axiom,( ? [A] : ( l1_unialg_1(A) & ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) ) )).
fof(rc4_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( l3_fsm_1(C,A,B) & v3_fsm_1(C,A,B) ) ) )).
fof(rc4_fsm_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( l2_fsm_2(C,A,B) & ~ v2_struct_0(C) & v6_fsm_2(C,A,B) ) ) )).
fof(rc4_fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) ) => ? [C] : ( l2_fsm_3(C,A,B) & ~ v2_struct_0(C) & v8_struct_0(C) & v3_fsm_3(C,A,B) & v4_fsm_3(C,A,B) ) ) )).
fof(rc4_funcop_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,A) ) ) )).
fof(rc4_funcsdom,axiom,( ? [A] : ( l1_funcsdom(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_funcsdom(A) & v2_funcsdom(A) ) )).
fof(rc4_funct_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) )).
fof(rc4_functor0,axiom,( ! [A] : ! [B] : ( ( l1_altcat_1(A) & l1_altcat_1(B) ) => ? [C] : ( l2_functor0(C,A,B) & v10_functor0(C,A,B) ) ) )).
fof(rc4_fvaluat1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,A,k6_numbers) & v2_fvaluat1(B) ) )).
fof(rc4_gcd_1,axiom,( ? [A] : ( l5_algstr_0(A) & ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v3_gcd_1(A) ) )).
fof(rc4_geomtrap,axiom,( ? [A] : ( l1_analoaf(A) & ~ v2_struct_0(A) & v1_analoaf(A) & v3_geomtrap(A) ) )).
fof(rc4_glib_000,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v7_glib_000(A) ) )).
fof(rc4_glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_001(B,A) & m3_glib_001(B,A) ) => ? [C] : ( m4_glib_001(C,A,B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v2_glib_001(C,A) & v4_glib_001(C,A) & v5_glib_001(C,A) ) ) )).
fof(rc4_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : ( m1_glib_000(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v4_glib_002(B,A) ) ) )).
fof(rc4_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ? [C] : ( m1_grcat_1(C,A,B) & v1_grcat_1(C) & v2_grcat_1(C) ) ) )).
fof(rc4_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ? [C] : ( m1_group_9(C,A,B) & ~ v2_struct_0(C) & v1_group_1(C) & v2_group_1(C) & v3_group_1(C) & v2_group_9(C,A) & v3_group_9(C,A) ) ) )).
fof(rc4_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ? [C] : ( m1_group_2(C,B) & ~ v2_struct_0(C) & v8_struct_0(C) & v1_group_1(C) & v2_group_1(C) & v3_group_1(C) & v3_groupp_1(C,A) ) ) )).
fof(rc4_gtarski1,axiom,( ? [A] : ( l1_metric_1(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) ) )).
fof(rc4_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & l1_vectsp_1(B,k1_complfld) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & v5_relat_1(C,u1_struct_0(k1_complfld)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v1_valued_0(C) & v2_hermitan(C,A,B) ) ) )).
fof(rc4_hurwitz2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & v3_hurwitz2(B,A) ) ) )).
fof(rc4_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_ideal_1(B,A) ) ) )).
fof(rc4_index_1,axiom,( ! [A] : ! [B] : ? [C] : ( m1_index_1(C,A,B) & v2_index_1(C,A,B) & v3_index_1(C,A,B) ) )).
fof(rc4_int_6,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_partfun3(A) & v1_int_6(A) ) )).
fof(rc4_jordan23,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & ~ v1_xboole_0(B) & v1_funct_1(B) & v2_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_finseq_6(B,A) ) ) )).
fof(rc4_lang1,axiom,( ? [A] : ( l2_lang1(A) & ~ v2_struct_0(A) ) )).
fof(rc4_lattad_1,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & v6_lattad_1(A) ) )).
fof(rc4_lattices,axiom,( ? [A] : ( l2_lattices(A) & v13_struct_0(A,1) & v2_lattices(A) ) )).
fof(rc4_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ? [B] : ( m1_lexbfs(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v4_lexbfs(B,A) ) ) )).
fof(rc4_lopban_2,axiom,( ? [A] : ( l1_lopban_2(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_funcsdom(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v1_lopban_2(A) ) )).
fof(rc4_margrel1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v2_margrel1(A) ) )).
fof(rc4_matrix10,axiom,( ? [A] : ( m1_finseq_1(A,k3_finseq_2(k1_numbers)) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k3_finseq_2(k1_numbers)) & v1_funct_1(A) & v1_finseq_1(A) & v1_matrix_0(A) & v2_matrix10(A) & v3_matrix10(A) ) )).
fof(rc4_matrix17,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,k3_finseq_2(u1_struct_0(B))) & v1_funct_1(C) & v1_finseq_1(C) & v1_funcop_1(C) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v4_matrix17(C,u1_struct_0(B)) ) ) )).
fof(rc4_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( m1_finseq_1(D,k3_finseq_2(A)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,k3_finseq_2(A)) & v1_funct_1(D) & v1_funcop_1(D) & v1_finset_1(D) & v1_finseq_1(D) & v2_finseq_1(D) & v1_pre_poly(D) & v2_pre_poly(D) & v1_matrix_0(D) & v2_matrix_0(D,A,B,C) ) ) )).
fof(rc4_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) & v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v5_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v2_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_funct_2(B,k2_finseq_1(A),k2_finseq_1(A)) & v2_funct_2(B,k2_finseq_1(A)) & v3_funct_2(B,k2_finseq_1(A),k2_finseq_1(A)) & v1_finset_1(B) & v6_matrix_1(B,A) ) ) )).
fof(rc4_matrixj2,axiom,( ! [A] : ! [B] : ( ( l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(C,A,B) ) ) )).
fof(rc4_matroid0,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_taxonom2(A) & v1_setfam_1(A) ) )).
fof(rc4_measure1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v3_measure1(B,A) ) )).
fof(rc4_measure5,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_measure5(A) ) )).
fof(rc4_measure6,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v1_setfam_1(A) ) )).
fof(rc4_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_memstr_0(B,A) & ~ v2_struct_0(B) & v7_struct_0(B) & v8_struct_0(B) & v13_struct_0(B,1) & v1_memstr_0(B,A) & v2_memstr_0(B,A) & v3_memstr_0(B,A) ) ) )).
fof(rc4_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_pre_topc(B) & ~ v2_struct_0(B) & v2_pre_topc(B) & v8_pre_topc(B) & v5_waybel23(B) & v2_mfold_1(B,A) ) ) )).
fof(rc4_modal_1,axiom,( ? [A] : ( m1_subset_1(A,k6_modal_1) & v1_relat_1(A) & v5_relat_1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v4_modal_1(A) ) )).
fof(rc4_modelc_1,axiom,( ? [A] : ( l2_modelc_1(A) & ~ v2_struct_0(A) ) )).
fof(rc4_modelc_2,axiom,( ? [A] : ( l1_modelc_2(A) & ~ v2_struct_0(A) & v10_modelc_2(A) ) )).
fof(rc4_modelc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( l2_modelc_3(B,A) & v7_modelc_3(B,A) ) ) )).
fof(rc4_msafree2,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) ) )).
fof(rc4_msafree4,axiom,( ! [A] : ( v4_card_3(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) ) ) )).
fof(rc4_msafree5,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v6_msafree5(B) ) )).
fof(rc4_msscyc_1,axiom,( ? [A] : ( l1_graph_1(A) & ~ v2_struct_0(A) & v14_struct_0(A) & v3_msscyc_1(A) ) )).
fof(rc4_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) => ? [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_finset_1(C) ) ) )).
fof(rc4_mycielsk,axiom,( ? [A] : ( l1_orders_2(A) & v2_mycielsk(A) ) )).
fof(rc4_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v3_nagata_1(B,A) ) ) )).
fof(rc4_nat_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v3_ordinal1(A) ) )).
fof(rc4_nat_6,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ? [B] : ( m1_nat_6(B,A) & ~ v1_zfmisc_1(B) & v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & v7_ordinal1(B) & v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v2_int_1(B) & v1_xxreal_0(B) & ~ v3_xxreal_0(B) ) ) )).
fof(rc4_ndiff_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v2_ndiff_1(C,A,B) ) ) )).
fof(rc4_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : v2_numpoly1(B,A) ) )).
fof(rc4_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v1_oposet_1(A) ) )).
fof(rc4_orders_2,axiom,( ? [A] : ( l1_orders_2(A) & v2_struct_0(A) & v1_orders_2(A) ) )).
fof(rc4_orders_3,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_orders_3(A) ) )).
fof(rc4_ordinal1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) ) )).
fof(rc4_ordinal5,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v5_ordinal5(A) ) )).
fof(rc4_ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v1_relat_1(B) & v4_relat_1(B,k2_ordinal1(A)) & v5_relat_1(B,k2_ordinal1(A)) & v1_funct_1(B) & v5_ordinal1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k2_ordinal1(A)) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & v1_ordinal2(B) & v2_ordinal6(B) ) ) )).
fof(rc4_osalg_1,axiom,( ? [A] : ( l3_osalg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v3_osalg_1(A) & v4_osalg_1(A) ) )).
fof(rc4_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_osalg_4(C,A,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) ) ) )).
fof(rc4_pboole,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) )).
fof(rc4_pcs_0,axiom,( ? [A] : ( l1_pcs_0(A) & v2_struct_0(A) & v2_pcs_0(A) ) )).
fof(rc4_pencil_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v11_pencil_1(A) ) )).
fof(rc4_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v4_petri_df(A) & l1_petri(A) ) => ? [B] : ( m1_finseq_1(B,k2_net_1(A)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k2_net_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v1_finseq_6(B,k2_net_1(A)) & v1_jordan23(B) & v2_petri_df(B,A) ) ) )).
fof(rc4_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_setfam_1(B) & m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) ) => ? [C] : ( m1_subset_1(C,B) & ~ v8_ordinal1(C) & ~ v1_xboole_0(C) ) ) )).
fof(rc4_pre_topc,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) ) ) )).
fof(rc4_prefer_1,axiom,( ? [A] : ( l3_prefer_1(A) & v3_prefer_1(A) ) )).
fof(rc4_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_subset_1(C,B) & v1_xboole_0(C) ) ) )).
fof(rc4_pscomp_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) ) )).
fof(rc4_pythtrip,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v1_xreal_0(A) & v1_int_1(A) & ~ v1_abian(A) & v1_pythtrip(A) ) )).
fof(rc4_quantal1,axiom,( ? [A] : ( l2_quantal1(A) & ~ v2_struct_0(A) ) )).
fof(rc4_random_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v4_random_3(C,A,B) ) ) )).
fof(rc4_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_ratfunc1(B,A) & ~ v4_ratfunc1(B,A) & v5_ratfunc1(B,A) ) ) )).
fof(rc4_rcomp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_connsp_1(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v3_pre_topc(B,A) & v4_pre_topc(B,A) & v2_connsp_1(B,A) ) ) )).
fof(rc4_realset2,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v36_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_realset2(A) ) )).
fof(rc4_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v6_group_1(C,A,B) ) ) )).
fof(rc4_ringcat1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) )).
fof(rc4_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v3_rltopsp1(B,A) ) ) )).
fof(rc4_rlvect_1,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v8_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) ) )).
fof(rc4_robbins1,axiom,( ? [A] : ( l4_robbins1(A) & v4_robbins1(A) ) )).
fof(rc4_robbins3,axiom,( ? [A] : ( l3_robbins3(A) & v6_robbins3(A) ) )).
fof(rc4_roughs_1,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v8_struct_0(A) & v1_orders_3(A) & v2_roughs_1(A) ) )).
fof(rc4_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_relat_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(B) & v1_partfun1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_2(B,k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A))) & v8_roughs_2(B,A) ) ) )).
fof(rc4_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_rusub_4(B,A) ) ) )).
fof(rc4_scm_halt,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v4_card_3(A) & v1_afinsq_1(A) & v1_scmfsa7b(A) & v2_pre_poly(A) & v1_scm_halt(A) ) )).
fof(rc4_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_classes1(B) & v3_scmyciel(B,A) ) ) )).
fof(rc4_seqm_3,axiom,( ? [A] : ( m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v3_funct_1(A) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc4_setfam_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v3_setfam_1(B,A) ) ) )).
fof(rc4_simplex0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_simplex0(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & ~ v3_pencil_1(B) & v4_simplex0(B) & v6_simplex0(B,A) ) ) )).
fof(rc4_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_simplex0(B,u1_struct_0(A)) & v1_matroid0(B) & v3_matroid0(B) & v2_simplex0(B) & ~ v4_simplex0(B) & v6_simplex0(B,u1_struct_0(A)) & v1_simplex1(B,A) & v2_simplex1(B,A) ) ) )).
fof(rc4_sppol_2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_topreal4(A) ) )).
fof(rc4_srings_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_setfam_1(B) & v1_srings_1(B,A) & v2_srings_1(B,A) & v3_srings_1(B,A) & v4_srings_1(B,A) ) )).
fof(rc4_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [C] : ( m1_rewrite1(C,B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,A) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) ) ) )).
fof(rc4_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) ) ) )).
fof(rc4_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_subset_1(B,A) ) ) )).
fof(rc4_taxonom2,axiom,( ! [A] : ? [B] : ( m1_taxonom2(B,A) & v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) ) )).
fof(rc4_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) ) ) )).
fof(rc4_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v7_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) ) )).
fof(rc4_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & ~ v1_zfmisc_1(B) & ~ v1_subset_1(B,u1_struct_0(A)) ) ) )).
fof(rc4_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & ~ v3_tex_3(B,A) ) ) )).
fof(rc4_topalg_2,axiom,( ! [A] : ( ( v3_topmetr(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_membered(B) & v2_membered(B) & v3_membered(B) & v6_xxreal_2(B) ) ) )).
fof(rc4_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v3_pre_topc(B,A) ) ) )).
fof(rc4_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_prob_1(B,u1_struct_0(A)) & v1_topgen_4(B,A) & v2_topgen_4(B,A) & v3_topgen_4(B,u1_struct_0(A)) & v4_topgen_4(B,u1_struct_0(A)) ) ) )).
fof(rc4_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_tops_2(B,A,A) ) ) )).
fof(rc4_topmetr,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v3_topmetr(A) ) )).
fof(rc4_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_tops_1(B,A) ) ) )).
fof(rc4_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ? [B] : ( m1_trees_2(B,A) & v1_finset_1(B) ) ) )).
fof(rc4_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_trees_3(B,A) & v4_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v3_trees_3(B) ) ) )).
fof(rc4_tsp_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) & ~ v1_tdlat_3(A) ) )).
fof(rc4_valued_0,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) ) )).
fof(rc4_valued_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v3_card_1(A,1) ) )).
fof(rc4_vectmetr,axiom,( ? [A] : ( l1_vectmetr(A) & ~ v2_struct_0(A) & v4_vectmetr(A) ) )).
fof(rc4_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) ) ) )).
fof(rc4_vectsp_1,axiom,( ? [A] : ( l4_algstr_0(A) & ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) ) )).
fof(rc4_vectsp_2,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_vectsp_2(B,A) & ~ v2_struct_0(B) ) ) )).
fof(rc4_vectsp_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_vectsp_4(C,A,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) ) ) )).
fof(rc4_waybel11,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v13_struct_0(A,1) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_9(A) & v4_waybel11(A) ) )).
fof(rc4_waybel19,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel_9(A) & v4_waybel11(A) & ~ v1_yellow_3(A) ) )).
fof(rc4_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ? [B] : ( m1_waybel23(B,A) & v6_waybel23(B,A) ) ) )).
fof(rc4_waybel27,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_monoid_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & ~ v1_yellow_3(A) ) )).
fof(rc4_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) ) ) )).
fof(rc4_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v4_waybel_4(B,A) ) ) )).
fof(rc4_waybel_0,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_waybel_0(B,A) & v6_waybel_0(B,A) ) ) )).
fof(rc4_waybel_1,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) ) )).
fof(rc4_waybel_3,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v1_compts_1(A) ) )).
fof(rc4_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v2_waybel_6(B,A) ) ) )).
fof(rc4_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & v2_waybel_7(B,A) ) ) )).
fof(rc4_xcmplx_0,axiom,( ? [A] : ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) ) )).
fof(rc4_xreal_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc4_xxreal_0,axiom,( ? [A] : ( v1_xxreal_0(A) & v2_xxreal_0(A) ) )).
fof(rc4_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & ~ v1_xboole_0(A) & v6_xxreal_2(A) ) )).
fof(rc4_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m2_yellow13(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc4_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_monoid_0(A) & l1_struct_0(A) ) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v6_waybel_0(B,A) & v1_yellow14(B,A) ) ) )).
fof(rc4_yellow21,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v2_wellord1(B) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v5_yellow21(B) ) ) )).
fof(rc4_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_0(B,A) & ~ v2_struct_0(B) & v1_orders_2(B) & v4_yellow_0(B,A) ) ) )).
fof(rc4_yellow_6,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & v1_yellow_1(B) & v4_waybel_3(B) ) )).
fof(rc4_yellow_9,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_yellow_9(B,A) & v2_pre_topc(B) & v1_tdlat_3(B) & v1_waybel_9(B) ) ) )).
fof(rc4_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_zmodul01(B,A) ) ) )).
fof(rc4_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_zmodul01(B,A) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v1_zmodul01(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) ) ) )).
fof(rc4_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & ~ v2_zmodul06(A) & l1_zmodul01(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ~ v1_zmodul06(B,A) ) ) )).
fof(rc5_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v6_abcmiz_1(B,A) ) ) )).
fof(rc5_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k14_abcmiz_1(A)) & ~ v1_xboole_0(B) & v1_relat_1(B) & ~ v1_xtuple_0(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v3_trees_9(B) & ~ v5_abcmiz_1(B,A,k28_abcmiz_1(A)) ) ) )).
fof(rc5_abian,axiom,( ? [A] : ( v1_xxreal_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v1_abian(A) ) )).
fof(rc5_algstr_0,axiom,( ? [A] : ( l2_algstr_0(A) & v13_struct_0(A,1) & v8_algstr_0(A) ) )).
fof(rc5_algstr_1,axiom,( ? [A] : ( l4_algstr_0(A) & ~ v2_struct_0(A) & v19_algstr_0(A) & v20_algstr_0(A) & v21_algstr_0(A) & v22_algstr_0(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v1_group_1(A) & v3_group_1(A) & v5_algstr_1(A) ) )).
fof(rc5_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_algstr_4(B,A) ) ) )).
fof(rc5_altcat_1,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v6_altcat_1(A) & v10_altcat_1(A) ) )).
fof(rc5_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ? [B] : ( m1_altcat_2(B,A) & v6_altcat_1(B) ) ) )).
fof(rc5_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_1(B,A) & v2_amistd_2(B,A) & v4_amistd_2(B,A) ) ) )).
fof(rc5_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) ) ) )).
fof(rc5_analmetr,axiom,( ? [A] : ( l2_analmetr(A) & ~ v2_struct_0(A) & v2_analmetr(A) & v3_analmetr(A) ) )).
fof(rc5_aofa_000,axiom,( ? [A] : ( ~ v1_finset_1(A) & v1_freealg(A) ) )).
fof(rc5_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ? [D] : ( m1_msafree(D,A,C) & ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & ~ v3_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v2_aofa_a01(D,A,B,C) ) ) )).
fof(rc5_aofa_l00,axiom,( ! [A] : ? [B] : ( l2_aofa_l00(B,A) & v4_aofa_l00(B,A) ) )).
fof(rc5_armstrng,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k9_setfam_1(A)) & v5_relat_1(B,k9_setfam_1(A)) & v8_relat_2(B) & v3_armstrng(B,A) & v4_armstrng(B,A) & v5_armstrng(B,A) ) )).
fof(rc5_asympt_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v2_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc5_bcialg_4,axiom,( ? [A] : ( l1_bcialg_4(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v2_bcialg_4(A) & v3_bcialg_4(A) ) )).
fof(rc5_bilinear,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v8_bilinear(C,A,B) ) ) )).
fof(rc5_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v2_connsp_1(B,A) & v2_compts_1(B,A) ) ) )).
fof(rc5_card_1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_card_1(A) ) )).
fof(rc5_card_3,axiom,( ? [A] : v5_card_3(A) )).
fof(rc5_cat_4,axiom,( ? [A] : ( l2_cat_4(A) & v5_cat_4(A) ) )).
fof(rc5_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v6_cat_6(A) & ~ v7_cat_6(A) & v8_cat_6(A) & v10_cat_6(A) ) )).
fof(rc5_catalg_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & v1_msualg_1(A) & v1_instalg1(A) & v2_catalg_1(A) & v3_catalg_1(A) ) )).
fof(rc5_cayldick,axiom,( ? [A] : ( l1_cayldick(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v7_algstr_0(A) & v14_algstr_0(A) & v30_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v9_rlvect_1(A) & v2_funcsdom(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_lopban_2(A) & v3_lopban_2(A) & v4_lopban_2(A) & v3_topmetr(A) & v1_cayldick(A) & v3_cayldick(A) & v4_cayldick(A) & v5_cayldick(A) & v6_cayldick(A) ) )).
fof(rc5_cfdiff_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) & v1_membered(A) & v6_cfdiff_1(A) ) )).
fof(rc5_cgames_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v3_cgames_1(A) ) )).
fof(rc5_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) ) => ? [B] : ( m3_chord(B,A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k6_glib_000(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v7_chord(B,A) ) ) )).
fof(rc5_circcmb3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) ) => ? [C] : ( m2_circcmb3(C,A,B) & v3_msualg_1(C,B) & v4_msualg_1(C,B) & v4_msafree2(C,B) & v4_circcomb(C,B) ) ) )).
fof(rc5_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_circcomb(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_circcomb(B,A) & v6_circcomb(B,A) ) ) )).
fof(rc5_clopban2,axiom,( ? [A] : ( l1_clopban2(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) ) )).
fof(rc5_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_closure2(B,A) & v11_closure2(B,A) ) ) )).
fof(rc5_clvect_1,axiom,( ? [A] : ( l2_clvect_1(A) & v7_clvect_1(A) ) )).
fof(rc5_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v4_finsub_1(B) ) ) )).
fof(rc5_compl_sp,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(B,A) ) ) )).
fof(rc5_compos_0,axiom,( ! [A] : ( ( v1_compos_0(A) & v5_compos_0(A) ) => ? [B] : ( m1_subset_1(B,A) & v4_compos_0(B,A) ) ) )).
fof(rc5_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) ) )).
fof(rc5_comput_1,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),B))) & v1_relat_1(C) & v4_relat_1(C,k3_finseq_2(A)) & v5_relat_1(C,B) & v1_funct_1(C) & v2_margrel1(C) ) )).
fof(rc5_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l5_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) & ~ v1_xboole_0(B) ) ) )).
fof(rc5_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & v2_dilworth(B,A) ) ) )).
fof(rc5_exchsort,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v2_funct_2(B,A) ) ) )).
fof(rc5_extpro_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & v2_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ? [C] : ( m1_subset_1(C,u1_compos_1(B)) & v2_extpro_1(C,A,B) ) ) )).
fof(rc5_finseq_1,axiom,( ? [A] : ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) ) )).
fof(rc5_finset_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finset_1(C) ) )).
fof(rc5_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v4_card_3(B) & v2_pre_poly(B) ) ) )).
fof(rc5_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_fomodel1(A)) & v7_fomodel1(B,A) ) ) )).
fof(rc5_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & ~ v8_ordinal1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v2_pre_poly(B) & v4_fomodel2(B,A) ) ) )).
fof(rc5_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v2_funct_2(B,A) ) ) )).
fof(rc5_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) & v3_fomodel4(C,B) ) ) )).
fof(rc5_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & l1_unialg_1(A) ) => ? [B] : ( m1_freealg(B,A) & v2_freealg(B,A) ) ) )).
fof(rc5_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( l2_fsm_1(C,A,B) & ~ v2_struct_0(C) & v8_struct_0(C) ) ) )).
fof(rc5_fsm_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( l2_fsm_2(C,A,B) & ~ v2_struct_0(C) & v1_fsm_2(C,A) & v5_fsm_2(C,A) ) ) )).
fof(rc5_funcop_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) )).
fof(rc5_funct_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) ) )).
fof(rc5_functor0,axiom,( ! [A] : ! [B] : ( ( l1_altcat_1(A) & l1_altcat_1(B) ) => ? [C] : ( l2_functor0(C,A,B) & v11_functor0(C,A,B) ) ) )).
fof(rc5_fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m2_fvaluat1(C,A,B) & ~ v2_struct_0(C) & v5_algstr_0(C) & v6_algstr_0(C) & v7_algstr_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_vectsp_2(C,A) & v4_vectsp_2(C,A) & v1_algstr_1(C) & v2_algstr_1(C) & v3_algstr_1(C) & v4_algstr_1(C) ) ) )).
fof(rc5_gcd_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) ) )).
fof(rc5_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : ( m1_glib_000(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v4_glib_000(B) & v7_glib_000(B) ) ) )).
fof(rc5_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v1_glib_002(A) ) => ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & ~ v5_glib_002(B,A) ) ) )).
fof(rc5_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m1_graph_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v1_xboole_0(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc5_grcat_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) )).
fof(rc5_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ? [C] : ( m1_group_9(C,A,B) & ~ v2_struct_0(C) & v1_group_1(C) & v2_group_1(C) & v3_group_1(C) & v2_group_9(C,A) & v3_group_9(C,A) & v4_group_9(C,A,B) ) ) )).
fof(rc5_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,k1_complfld) & v9_vectsp_1(B,k1_complfld) & v10_vectsp_1(B,k1_complfld) & v11_vectsp_1(B,k1_complfld) & l1_vectsp_1(B,k1_complfld) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)))) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) & v5_relat_1(C,u1_struct_0(k1_complfld)) & ~ v1_zfmisc_1(C) & v1_funct_1(C) & ~ v3_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k1_complfld)) & v1_bilinear(C,k1_complfld,A,B) & v2_bilinear(C,k1_complfld,A,B) & v4_bilinear(C,k1_complfld,A,B) & v1_valued_0(C) & v2_hermitan(C,A,B) ) ) )).
fof(rc5_hurwitz2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & v4_hurwitz2(B,A) ) ) )).
fof(rc5_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v3_ideal_1(B,A) ) ) )).
fof(rc5_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ? [B] : ( m1_lattad_1(B,A) & v3_lattices(B) ) ) )).
fof(rc5_lattices,axiom,( ? [A] : ( l1_lattices(A) & v13_struct_0(A,1) & v1_lattices(A) ) )).
fof(rc5_lopban_2,axiom,( ? [A] : ( l1_lopban_2(A) & ~ v2_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v14_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v9_rlvect_1(A) & v2_funcsdom(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) ) )).
fof(rc5_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k4_partfun1(k3_finseq_2(A),A)) & v1_funct_1(B) & v1_funcop_1(B) & v2_funcop_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v4_card_3(B) & v4_margrel1(B,A) & v5_margrel1(B,A) ) ) )).
fof(rc5_matrix_9,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(3),k2_finseq_1(3)))) & v1_relat_1(A) & v4_relat_1(A,k2_finseq_1(3)) & v5_relat_1(A,k2_finseq_1(3)) & v1_funct_1(A) & v2_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k2_finseq_1(3)) & v1_funct_2(A,k2_finseq_1(3),k2_finseq_1(3)) & v2_funct_2(A,k2_finseq_1(3)) & v3_funct_2(A,k2_finseq_1(3),k2_finseq_1(3)) & v1_finset_1(A) & ~ v6_matrix_1(A,3) ) )).
fof(rc5_matrixj2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & v2_matrixj2(C,A,B) ) ) )).
fof(rc5_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,B) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,k4_ordinal1) & v1_funct_2(C,k4_ordinal1,B) & v1_prob_2(C) ) ) )).
fof(rc5_measure6,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & ~ v1_setfam_1(A) ) )).
fof(rc5_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & l1_memstr_0(B,A) ) => ? [C] : ( v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) ) )).
fof(rc5_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( l1_pre_topc(B) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_mfold_1(B,A) ) ) )).
fof(rc5_modelc_1,axiom,( ? [A] : ( l2_modelc_1(A) & ~ v2_struct_0(A) & v10_modelc_1(A) ) )).
fof(rc5_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : ( m1_monoid_0(B,A) & v22_algstr_0(B) ) ) )).
fof(rc5_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) & v1_relat_1(D) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v4_card_3(D) ) ) )).
fof(rc5_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msafree4(B,A) ) => ? [C] : ( m2_pboole(C,A,B,k7_funcop_1(A,k4_ordinal1)) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) & v2_funcop_1(C) & v1_msualg_3(C) ) ) )).
fof(rc5_msafree5,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_card_3(A) & v6_msafree5(A) ) )).
fof(rc5_msscyc_1,axiom,( ? [A] : ( l1_graph_1(A) & ~ v2_struct_0(A) & v14_struct_0(A) & ~ v3_msscyc_1(A) ) )).
fof(rc5_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m3_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_mssubfam(C,A,B) & v2_mssubfam(C,A,B) & v3_mssubfam(C,A,B) & v4_mssubfam(C,A,B) & v5_mssubfam(C,A,B) & v6_mssubfam(C,A,B) ) ) )).
fof(rc5_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) ) ) )).
fof(rc5_mycielsk,axiom,( ! [A] : ( ( v2_mycielsk(A) & l1_orders_2(A) ) => ? [B] : ( m1_eqrel_1(B,u1_struct_0(A)) & ~ v10_ordinal1(B) & v1_finset_1(B) & v1_setfam_1(B) & v5_dilworth(B,A) ) ) )).
fof(rc5_nat_1,axiom,( ? [A] : ( m1_subset_1(A,k4_ordinal1) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & v1_xreal_0(A) & v1_finset_1(A) & v1_card_1(A) ) )).
fof(rc5_nat_6,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ? [B] : ( m1_nat_6(B,A) & ~ v1_xboole_0(B) & v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v2_int_1(B) & v1_int_2(B) & v1_xxreal_0(B) & v2_xxreal_0(B) & ~ v3_xxreal_0(B) & ~ v1_nat_6(B,A) ) ) )).
fof(rc5_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( ~ v8_ordinal1(B) & v2_numpoly1(B,A) ) ) )).
fof(rc5_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v3_orders_2(A) & v3_qmax_1(A) ) )).
fof(rc5_ordinal1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) ) )).
fof(rc5_ordinal5,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_ordinal2(A) & v6_ordinal5(A) ) )).
fof(rc5_ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( m1_subset_1(B,A) & v1_ordinal1(B) & v2_ordinal1(B) & v3_ordinal1(B) & ~ v1_zfmisc_1(B) & v1_finset_1(B) & v1_ordinal6(B) ) ) )).
fof(rc5_osalg_1,axiom,( ? [A] : ( l1_osalg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) ) )).
fof(rc5_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v12_osalg_1(C,A) ) ) )).
fof(rc5_osalg_4,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_osalg_4(A) ) )).
fof(rc5_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( m3_pboole(C,A,B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) )).
fof(rc5_pcs_0,axiom,( ? [A] : ( l1_pcs_0(A) & ~ v2_struct_0(A) & v2_pcs_0(A) & v4_pcs_0(A) & v6_pcs_0(A) ) )).
fof(rc5_pencil_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) )).
fof(rc5_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( l1_polyalg1(B,A) & ~ v2_struct_0(B) & v1_polyalg1(B,A) ) ) )).
fof(rc5_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,k15_pre_poly(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) ) ) )).
fof(rc5_pre_poly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) & ~ v2_setfam_1(B) ) ) )).
fof(rc5_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) ) ) )).
fof(rc5_prelamb,axiom,( ? [A] : ( l2_prelamb(A) & ~ v2_struct_0(A) & v10_prelamb(A) ) )).
fof(rc5_pythtrip,axiom,( ? [A] : ( m1_pythtrip(A) & v1_finset_1(A) & ~ v2_pythtrip(A) & v3_pythtrip(A) ) )).
fof(rc5_quantal1,axiom,( ? [A] : ( l3_algstr_0(A) & ~ v2_struct_0(A) & v6_quantal1(A) ) )).
fof(rc5_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_ratfunc1(B,A) & ~ v4_ratfunc1(B,A) & ~ v5_ratfunc1(B,A) ) ) )).
fof(rc5_ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v1_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_group_6(C,A,B) ) ) )).
fof(rc5_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ? [B] : ( m1_subset_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v36_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_group_1(B) & v3_group_1(B) & v1_vectsp_1(B) & v2_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v6_vectsp_1(B) ) ) )).
fof(rc5_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v4_rltopsp1(B,A) ) ) )).
fof(rc5_rlvect_1,axiom,( ? [A] : ( l1_rlvect_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v1_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) ) )).
fof(rc5_robbins1,axiom,( ? [A] : ( l4_robbins1(A) & v13_struct_0(A,1) & v4_robbins1(A) ) )).
fof(rc5_robbins3,axiom,( ? [A] : ( l1_robbins3(A) & ~ v2_struct_0(A) ) )).
fof(rc5_roughs_1,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v8_struct_0(A) & ~ v1_roughs_1(A) & v2_roughs_1(A) ) )).
fof(rc5_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v2_rusub_4(B,A) ) ) )).
fof(rc5_scmyciel,axiom,( ? [A] : v4_scmyciel(A) )).
fof(rc5_sheffer1,axiom,( ? [A] : ( l1_sheffer1(A) & v13_struct_0(A,1) ) )).
fof(rc5_simplex0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_simplex0(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v1_matroid0(B) & v2_simplex0(B) & ~ v4_simplex0(B) & ~ v5_simplex0(B) & v6_simplex0(B,A) ) ) )).
fof(rc5_sppol_2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_topreal4(A) ) )).
fof(rc5_stacks_1,axiom,( ? [A] : ( l1_stacks_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & v7_stacks_1(A) ) )).
fof(rc5_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_zfmisc_1(B) ) ) )).
fof(rc5_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v2_pre_topc(B) & v2_tdlat_3(B) & v3_tdlat_3(B) ) ) )).
fof(rc5_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v1_tdlat_3(A) & ~ v2_tdlat_3(A) ) )).
fof(rc5_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_zfmisc_1(B) & v1_subset_1(B,u1_struct_0(A)) ) ) )).
fof(rc5_tex_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & ~ v1_tex_3(B,A) ) ) )).
fof(rc5_topalg_2,axiom,( ? [A] : ( m1_pre_topc(A,k3_topmetr) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v3_topmetr(A) & v2_topalg_2(A) ) )).
fof(rc5_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v4_pre_topc(B,A) ) ) )).
fof(rc5_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_prob_1(B,u1_struct_0(A)) & v3_measure1(B,u1_struct_0(A)) & v3_topgen_4(B,u1_struct_0(A)) ) ) )).
fof(rc5_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_tops_1(B,A) ) ) )).
fof(rc5_trees_2,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) )).
fof(rc5_trees_3,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v4_trees_3(A) & v5_trees_3(A) ) )).
fof(rc5_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v6_pre_topc(B) ) ) )).
fof(rc5_valued_0,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,A) ) ) )).
fof(rc5_valued_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,k3_numbers) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v2_valued_0(B) & v3_valued_0(B) & v4_valued_0(B) ) )).
fof(rc5_vectmetr,axiom,( ? [A] : ( l1_vectmetr(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v4_vectmetr(A) & v5_vectmetr(A) & v6_vectmetr(A) ) )).
fof(rc5_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v2_hahnban1(C,A,B) ) ) )).
fof(rc5_vectsp_1,axiom,( ? [A] : ( l6_algstr_0(A) & ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) ) )).
fof(rc5_vectsp_2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ? [C] : ( l2_vectsp_2(C,A,B) & v3_vectsp_2(C,A,B) ) ) )).
fof(rc5_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(B,A) & v13_waybel_0(B,A) & v1_waybel11(B,A) & v2_waybel11(B,A) ) ) )).
fof(rc5_waybel19,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A) & v3_waybel_3(A) & v24_waybel_0(A) & v25_waybel_0(A) & v1_waybel_9(A) & ~ v1_yellow_3(A) & v2_waybel19(A) ) )).
fof(rc5_waybel23,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ? [B] : ( m1_waybel23(B,A) & v7_waybel23(B,A) ) ) )).
fof(rc5_waybel27,axiom,( ? [A] : ( l1_struct_0(A) & ~ v2_struct_0(A) & v1_monoid_0(A) ) )).
fof(rc5_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v5_relat_1(B,u1_struct_0(A)) & v1_waybel35(B,A) ) ) )).
fof(rc5_waybel_0,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) ) ) )).
fof(rc5_waybel_1,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v9_waybel_1(A) ) )).
fof(rc5_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v5_waybel_6(B,A) ) ) )).
fof(rc5_waybel_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) & ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(A)) & v13_waybel_0(B,k2_yellow_1(A)) & v3_waybel_7(B,k2_yellow_1(A)) ) ) )).
fof(rc5_xcmplx_0,axiom,( ? [A] : ( ~ v8_ordinal1(A) & v1_xcmplx_0(A) ) )).
fof(rc5_xreal_0,axiom,( ? [A] : ( v8_ordinal1(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc5_xxreal_0,axiom,( ? [A] : ( v1_xxreal_0(A) & v3_xxreal_0(A) ) )).
fof(rc5_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & v1_xxreal_2(A) & v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc5_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_monoid_0(A) & l1_struct_0(A) ) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v1_yellow14(B,A) ) ) )).
fof(rc5_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_0(B,A) & ~ v2_struct_0(B) & v1_orders_2(B) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & v8_yellow_0(B,A) ) ) )).
fof(rc5_yellow_6,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_waybel_0(B,A) ) => ? [C] : ( m1_yellow_6(C,A,B) & v6_waybel_0(C,A) & v2_yellow_6(C,A,B) ) ) )).
fof(rc5_yellow_9,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( m1_yellow_9(B,A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_yellow_0(B) & v2_yellow_0(B) & v3_yellow_0(B) & v24_waybel_0(B) & v25_waybel_0(B) & v1_waybel_9(B) & v4_waybel11(B) ) ) )).
fof(rc5_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_zmodul01(B,A) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v7_algstr_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v1_zmodul01(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) ) ) )).
fof(rc5_zmodul03,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) ) )).
fof(rc5_zmodul06,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v9_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v3_zmodul06(A) ) )).
fof(rc6_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & ~ v6_abcmiz_1(B,A) & v7_abcmiz_1(B,A) ) ) )).
fof(rc6_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & ~ v1_xboole_0(B) & v1_relat_1(B) & ~ v1_xtuple_0(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v3_trees_9(B) & v2_abcmiz_a(B,A) ) ) )).
fof(rc6_abian,axiom,( ? [A] : ( v1_xxreal_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & ~ v1_abian(A) ) )).
fof(rc6_algstr_0,axiom,( ? [A] : ( l2_algstr_0(A) & v13_struct_0(A,1) & v7_algstr_0(A) & v8_algstr_0(A) & v14_algstr_0(A) ) )).
fof(rc6_altcat_1,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v2_altcat_1(A) & v6_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) ) )).
fof(rc6_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ? [B] : ( m1_altcat_2(B,A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v6_altcat_1(B) ) ) )).
fof(rc6_amistd_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_2(B,A) & l1_extpro_1(B,A) ) => ? [C] : ( m1_subset_1(C,u1_compos_1(B)) & v1_amistd_2(C,A,B) & v3_amistd_2(C,A,B) ) ) )).
fof(rc6_analmetr,axiom,( ? [A] : ( l2_analmetr(A) & ~ v2_struct_0(A) & v2_analmetr(A) & v4_analmetr(A) ) )).
fof(rc6_aofa_000,axiom,( ? [A] : ( l1_unialg_1(A) & ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v9_aofa_000(A) & ~ v10_aofa_000(A) & v11_aofa_000(A) & v12_aofa_000(A) ) )).
fof(rc6_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) & v2_aofa_a01(D,A,B,C) & m1_msafree(D,A,C) & m1_subset_1(E,u1_struct_0(A)) ) => ? [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(A),D,E)) & v3_aofa_a01(F,A,B,C,D,E) ) ) )).
fof(rc6_armstrng,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & v1_relat_1(B) & v4_relat_1(B,k9_setfam_1(A)) & v5_relat_1(B,k9_setfam_1(A)) & v6_armstrng(B,A) ) )).
fof(rc6_asympt_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v1_xreal_0(A) & ~ v1_asympt_0(A) ) )).
fof(rc6_bcialg_4,axiom,( ? [A] : ( l1_bcialg_4(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v2_bcialg_4(A) & v4_bcialg_4(A) ) )).
fof(rc6_bilinear,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v1_bilinear(C,A,B,B) & v2_bilinear(C,A,B,B) & v3_bilinear(C,A,B,B) & v4_bilinear(C,A,B,B) & v7_bilinear(C,A,B) ) ) )).
fof(rc6_card_1,axiom,( ! [A] : ( ~ v1_finset_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_finset_1(B) ) ) )).
fof(rc6_card_3,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_finset_1(A) ) )).
fof(rc6_cat_4,axiom,( ? [A] : ( l2_cat_4(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) ) )).
fof(rc6_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & ~ v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) ) )).
fof(rc6_catalg_1,axiom,( ! [A] : ? [B] : ( m1_catalg_1(B,A) & v1_msualg_1(B) & v1_instalg1(B) & v2_catalg_1(B) & v3_catalg_1(B) ) )).
fof(rc6_cgames_1,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v3_cgames_1(A) & v4_cgames_1(A) ) )).
fof(rc6_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ? [E] : ( l3_msualg_1(E,k5_circcomb(C,D)) & v3_msualg_1(E,k5_circcomb(C,D)) & v4_msualg_1(E,k5_circcomb(C,D)) & v4_msafree2(E,k5_circcomb(C,D)) & v4_circcomb(E,k5_circcomb(C,D)) ) ) )).
fof(rc6_closure2,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_closure2(B,A) & v4_msualg_1(B,A) & v11_closure2(B,A) & v12_closure2(B,A) & v13_closure2(B,A) & v14_closure2(B,A) & v15_closure2(B,A) & v16_closure2(B,A) & v17_closure2(B,A) ) ) )).
fof(rc6_clvect_1,axiom,( ? [A] : ( l2_clvect_1(A) & ~ v2_struct_0(A) ) )).
fof(rc6_cohsp_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v2_finsub_1(A) & v1_classes1(A) & v1_coh_sp(A) & v3_cohsp_1(A) ) )).
fof(rc6_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v4_compl_sp(B,A) ) ) )).
fof(rc6_compos_0,axiom,( ? [A] : ( ~ v1_xboole_0(A) & ~ v1_zfmisc_1(A) & v1_relat_1(A) & v1_compos_0(A) & v2_compos_0(A) & v3_compos_0(A) & v5_compos_0(A) ) )).
fof(rc6_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v2_compos_1(B,A) ) ) )).
fof(rc6_comput_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),B))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k3_finseq_2(A)) & v5_relat_1(C,B) & v1_funct_1(C) & v2_margrel1(C) ) ) )).
fof(rc6_conlat_1,axiom,( ! [A] : ( l5_struct_0(A) => ? [B] : ( l2_conlat_1(B,A) & v3_conlat_1(B,A) ) ) )).
fof(rc6_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) & v2_dilworth(B,A) ) ) )).
fof(rc6_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) & v3_ordinal1(C) ) => ? [D] : ( m2_exchsort(D,A,B) & v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_exchsort(D) & v2_exchsort(D,C) ) ) )).
fof(rc6_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v7_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v1_extpro_1(B,A) ) ) )).
fof(rc6_finseq_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc6_finset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finset_1(C) ) ) )).
fof(rc6_fomodel0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,A) & v1_funct_1(C) & v1_finset_1(C) & v3_card_1(C,B) & v1_finseq_1(C) & v2_finseq_1(C) & v4_card_3(C) & v2_pre_poly(C) ) ) )).
fof(rc6_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(B,A) ) ) )).
fof(rc6_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & ~ v8_ordinal1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v2_pre_poly(C) & v3_fomodel2(C,A,B) & v4_fomodel2(C,A) & v5_fomodel2(C,A) ) ) )).
fof(rc6_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ? [D] : ( m1_subset_1(D,k15_fomodel2(A,B)) & v1_relat_1(D) & v4_relat_1(D,k37_fomodel1(A)) & v1_funct_1(D) & v1_partfun1(D,k37_fomodel1(A)) & v1_funcop_1(D) & v2_funcop_1(D) & v1_fomodel2(D,A,B) & v3_fomodel3(D,A,B,C) ) ) )).
fof(rc6_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : v3_fomodel4(B,A) ) )).
fof(rc6_fsm_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( l3_fsm_1(C,A,B) & ~ v2_struct_0(C) & v8_struct_0(C) ) ) )).
fof(rc6_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( l1_fsm_2(B,A) & ~ v2_struct_0(B) & v1_fsm_2(B,A) & v5_fsm_2(B,A) ) ) )).
fof(rc6_funct_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) ) )).
fof(rc6_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ? [C] : ( l2_functor0(C,A,B) & v8_functor0(C,A,B) & v10_functor0(C,A,B) & v11_functor0(C,A,B) ) ) )).
fof(rc6_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ? [B] : ( m1_glib_000(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v9_glib_000(B,A) ) ) )).
fof(rc6_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v3_glib_002(A) ) => ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & v11_glib_000(B,A) ) ) )).
fof(rc6_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ? [B] : ( m3_graph_1(B,A) & ~ v2_struct_0(B) & v14_struct_0(B) & v1_graph_1(B) ) ) )).
fof(rc6_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ? [B] : ( m1_subset_1(B,A) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v7_algstr_0(B) & v8_algstr_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) ) ) )).
fof(rc6_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) ) => ? [D] : ( m1_group_9(D,A,C) & ~ v2_struct_0(D) & v1_group_1(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,A) & v4_group_9(D,A,C) ) ) )).
fof(rc6_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)))) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v5_relat_1(B,u1_struct_0(k1_complfld)) & ~ v1_zfmisc_1(B) & v1_funct_1(B) & ~ v3_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(k1_complfld)) & v1_bilinear(B,k1_complfld,A,A) & v2_bilinear(B,k1_complfld,A,A) & v4_bilinear(B,k1_complfld,A,A) & v1_valued_0(B) & v2_hermitan(B,A,A) & v3_hermitan(B,A) & v4_hermitan(B,A) & v5_hermitan(B,A) ) ) )).
fof(rc6_hurwitz2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k1_complfld)) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_valued_0(A) & v1_polynom1(A,k1_complfld) & ~ v1_ratfunc1(A,k1_complfld) & v6_hurwitz2(A) & v7_hurwitz2(A) ) )).
fof(rc6_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) ) ) )).
fof(rc6_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v7_lattad_1(B,A) & v8_lattad_1(B,A) ) ) )).
fof(rc6_lattices,axiom,( ? [A] : ( l3_lattices(A) & v13_struct_0(A,1) & v3_lattices(A) ) )).
fof(rc6_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_relat_1(C) & v4_relat_1(C,B) & v5_relat_1(C,k6_numbers) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,B) & v1_funct_2(C,B,k6_numbers) & v2_valued_0(C) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) ) ) )).
fof(rc6_measure6,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v5_xxreal_2(A) & v2_rcomp_1(A) ) )).
fof(rc6_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) ) => ? [D] : ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) & v5_memstr_0(D,A,B,C) ) ) )).
fof(rc6_mfold_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v4_mfold_1(A) ) )).
fof(rc6_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( m1_monoid_0(B,A) & ~ v2_struct_0(B) & v22_algstr_0(B) & v4_vectsp_1(B) & v1_group_1(B) ) ) )).
fof(rc6_msafree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) & v1_relat_1(D) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v4_card_3(D) & v3_trees_2(D) ) ) )).
fof(rc6_msafree4,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v13_pencil_1(B) ) )).
fof(rc6_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ? [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) & v7_msafree5(D,A,B,C) ) ) )).
fof(rc6_msscyc_1,axiom,( ? [A] : ( l1_graph_1(A) & ~ v2_struct_0(A) & v14_struct_0(A) & v2_msscyc_1(A) ) )).
fof(rc6_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) ) ) )).
fof(rc6_mycielsk,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( m1_mycielsk(B,A) & v1_orders_2(B) & v3_necklace(B) ) ) )).
fof(rc6_nat_6,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_int_2(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v2_nat_6(A) ) )).
fof(rc6_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v3_necklace(A) & v3_qmax_1(A) ) )).
fof(rc6_ordinal1,axiom,( ? [A] : v7_ordinal1(A) )).
fof(rc6_ordinal6,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & ~ v1_zfmisc_1(A) & v1_finset_1(A) & v1_ordinal6(A) ) )).
fof(rc6_osalg_1,axiom,( ? [A] : ( l3_osalg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_orders_3(A) & v3_osalg_1(A) & v4_osalg_1(A) & v5_osalg_1(A) & v6_osalg_1(A) ) )).
fof(rc6_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v3_msualg_1(C,A) & v12_osalg_1(C,A) ) ) )).
fof(rc6_osalg_4,axiom,( ? [A] : ( l3_osalg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) ) )).
fof(rc6_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) & v1_partfun1(C,A) ) ) )).
fof(rc6_pcs_0,axiom,( ? [A] : ( l1_pcs_0(A) & ~ v2_struct_0(A) & v2_pcs_0(A) & v5_pcs_0(A) & v6_pcs_0(A) ) )).
fof(rc6_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & v4_waybel_3(B) ) => ? [C] : ( m3_pboole(C,A,k12_pralg_1(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v13_pencil_1(C) & v16_pencil_1(C,A) ) ) )).
fof(rc6_polyalg1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_polyalg1(B,A) ) => ? [C] : ( m1_polyalg1(C,A,B) & v1_polyalg1(C,A) ) ) )).
fof(rc6_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,k15_pre_poly(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) ) ) )).
fof(rc6_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_setfam_1(B) & m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) ) => ? [C] : ( m1_subset_1(C,B) & ~ v1_xboole_0(C) & v1_finset_1(C) ) ) )).
fof(rc6_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A) ) ) )).
fof(rc6_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_ratfunc1(B,A) & v6_ratfunc1(B,A) ) ) )).
fof(rc6_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l6_algstr_0(B) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v7_algstr_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v14_algstr_0(B) & v1_vectsp_1(B) & v2_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v6_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v9_rlvect_1(B) & v1_group_1(B) & v3_group_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v3_ring_2(B,A) ) ) )).
fof(rc6_ringcat1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v5_ringcat1(A) ) )).
fof(rc6_rltopsp1,axiom,( ? [A] : ( l1_rltopsp1(A) & v5_rltopsp1(A) ) )).
fof(rc6_robbins1,axiom,( ? [A] : ( l2_robbins1(A) & v13_struct_0(A,1) & v2_robbins1(A) ) )).
fof(rc6_robbins3,axiom,( ? [A] : ( l2_robbins3(A) & ~ v2_struct_0(A) ) )).
fof(rc6_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v4_roughs_1(B,A) ) ) )).
fof(rc6_scmyciel,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v10_ordinal1(A) & v5_finset_1(A) & v2_finsub_1(A) & ~ v1_setfam_1(A) & v1_classes1(A) & v1_scmyciel(A) & v3_scmyciel(A,1) & v4_scmyciel(A) ) )).
fof(rc6_simplex0,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v1_matroid0(A) & v2_simplex0(A) & ~ v4_simplex0(A) & ~ v5_simplex0(A) ) )).
fof(rc6_subset_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_zfmisc_1(B) ) ) )).
fof(rc6_tdlat_3,axiom,( ? [A] : ( l1_pre_topc(A) & v1_pre_topc(A) & v2_pre_topc(A) & v3_tdlat_3(A) ) )).
fof(rc6_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & v2_tdlat_3(A) ) )).
fof(rc6_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & ~ v1_tex_2(B,A) ) ) )).
fof(rc6_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v3_tex_3(B,A) ) ) )).
fof(rc6_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_topgen_1(B,A) ) ) )).
fof(rc6_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(B) & v1_finsub_1(B) & v2_finsub_1(B) & v3_finsub_1(B) & v1_prob_1(B,u1_struct_0(A)) & v4_prob_1(B,u1_struct_0(A)) & v3_measure1(B,u1_struct_0(A)) & v1_topgen_4(B,A) & v3_topgen_4(B,u1_struct_0(A)) ) ) )).
fof(rc6_tops_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & ~ v2_tops_1(B,A) ) ) )).
fof(rc6_trees_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) ) )).
fof(rc6_trees_3,axiom,( ? [A] : ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_finseq_1(A) & v6_trees_3(A) ) )).
fof(rc6_tsp_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v6_pre_topc(B) & v1_tex_2(B,A) ) ) )).
fof(rc6_valued_0,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) ) )).
fof(rc6_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v3_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) ) ) )).
fof(rc6_vectsp_1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_vectsp_1(B,A) & v7_vectsp_1(B,A) ) ) )).
fof(rc6_vectsp_2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ? [C] : ( l2_vectsp_2(C,A,B) & ~ v2_struct_0(C) ) ) )).
fof(rc6_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v8_waybel_0(B,A) ) ) )).
fof(rc6_waybel23,axiom,( ? [A] : ( l1_orders_2(A) & ~ v2_struct_0(A) & ~ v7_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v3_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v2_waybel_3(A) & v3_waybel_3(A) ) )).
fof(rc6_waybel32,axiom,( ? [A] : ( l1_waybel_9(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel32(A) ) )).
fof(rc6_waybel34,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) & v4_waybel34(C,A,B) ) ) )).
fof(rc6_waybel35,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ? [C] : ( m1_waybel35(C,A,B) & v3_card_1(C,1) ) ) )).
fof(rc6_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v8_waybel_0(B,A) & v9_waybel_0(B,A) ) ) )).
fof(rc6_xxreal_0,axiom,( ? [A] : ( v1_xxreal_0(A) & v3_xxreal_0(A) ) )).
fof(rc6_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & ~ v1_xxreal_2(A) & v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc6_yellow_6,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ? [C] : ( m1_yellow_6(C,A,B) & ~ v2_struct_0(C) & v6_waybel_0(C,A) & v2_yellow_6(C,A,B) ) ) )).
fof(rc6_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_zmodul01(B,A) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v7_algstr_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v8_zmodul01(B,A) ) ) )).
fof(rc6_zmodul03,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & v5_algstr_0(A) & v6_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & v2_algstr_1(A) & v3_algstr_1(A) & v4_algstr_1(A) & v1_zmodul01(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v6_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) ) )).
fof(rc6_zmodul06,axiom,( ? [A] : ( l1_zmodul01(A) & ~ v2_struct_0(A) & v7_struct_0(A) & v12_algstr_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v9_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) ) )).
fof(rc7_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v8_abcmiz_1(B,A) ) ) )).
fof(rc7_abian,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(B) & v1_finset_1(B) & v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(rc7_algstr_0,axiom,( ? [A] : ( l3_algstr_0(A) & v15_algstr_0(A) ) )).
fof(rc7_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ? [B] : ( m1_altcat_2(B,A) & v6_altcat_1(B) & v2_altcat_2(B,A) ) ) )).
fof(rc7_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v15_aofa_000(B,A) ) ) )).
fof(rc7_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ? [D] : ( l4_aofa_a00(D,A,B,C) & v4_aofa_a01(D,A,B,C) ) ) )).
fof(rc7_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ? [C] : ( l2_aofa_l00(C,B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v6_aofa_l00(C,A) & v7_aofa_l00(C,B) ) ) )).
fof(rc7_armstrng,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & v1_relat_1(B) & v4_relat_1(B,k9_setfam_1(A)) & v5_relat_1(B,k9_setfam_1(A)) & v1_finset_1(B) & v4_card_3(B) & v6_armstrng(B,A) ) ) )).
fof(rc7_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ? [B] : ( m2_bcialg_1(B,A) & ~ v1_xboole_0(B) & v12_bcialg_1(B,A) ) ) )).
fof(rc7_bilinear,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v1_bilinear(C,A,B,B) & v2_bilinear(C,A,B,B) & v3_bilinear(C,A,B,B) & v4_bilinear(C,A,B,B) & v8_bilinear(C,A,B) ) ) )).
fof(rc7_card_1,axiom,( ! [A] : ( v1_card_1(A) => ? [B] : v3_card_1(B,A) ) )).
fof(rc7_cat_4,axiom,( ? [A] : ( l2_cat_4(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v5_cat_4(A) ) )).
fof(rc7_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v2_struct_0(A) ) )).
fof(rc7_catalg_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & v1_msualg_1(A) & v1_instalg1(A) & v2_catalg_1(A) & v3_catalg_1(A) ) )).
fof(rc7_clvect_1,axiom,( ? [A] : ( l2_clvect_1(A) & ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v7_clvect_1(A) & v8_clvect_1(A) ) )).
fof(rc7_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,A,B) & v4_cohsp_1(C) & v7_cohsp_1(C) ) ) )).
fof(rc7_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(B,A) ) ) )).
fof(rc7_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ? [B] : ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v2_compos_1(B,A) ) ) )).
fof(rc7_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k3_finseq_2(A)) & v5_relat_1(B,A) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,A) ) ) )).
fof(rc7_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l5_struct_0(A) ) => ? [B] : ( l2_conlat_1(B,A) & v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) ) ) )).
fof(rc7_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_eqrel_1(B,u1_struct_0(A)) & ~ v10_ordinal1(B) & v1_setfam_1(B) & v5_dilworth(B,A) ) ) )).
fof(rc7_exchsort,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_exchsort(B) & v2_exchsort(B,k5_numbers) ) => ? [C] : ( m1_exchsort(C,B) & v1_relat_1(C) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_exchsort(C) & v5_exchsort(C,A) ) ) )).
fof(rc7_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v7_struct_0(B) & v8_struct_0(B) & v13_struct_0(B,1) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v1_extpro_1(B,A) & v3_extpro_1(B,A) ) ) )).
fof(rc7_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_finseq_1(B) ) ) )).
fof(rc7_finset_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_zfmisc_1(B) & v1_finset_1(B) ) ) )).
fof(rc7_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v4_card_3(B) & v2_pre_poly(B) ) ) )).
fof(rc7_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_fomodel1(A)) & v10_fomodel1(B,A) ) ) )).
fof(rc7_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & ~ v8_ordinal1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v2_pre_poly(C) & ~ v15_fomodel1(C,A) & v3_fomodel2(C,A,B) & v4_fomodel2(C,A) & v5_fomodel2(C,A) ) ) )).
fof(rc7_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_funcop_1(D) & v2_funcop_1(D) & v1_fomodel2(D,A,B) & v3_fomodel3(D,A,B,C) ) ) )).
fof(rc7_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) & v1_relat_1(B) & v4_relat_1(B,k9_setfam_1(k1_fomodel4(A))) & v5_relat_1(B,k9_setfam_1(k1_fomodel4(A))) & v1_funct_1(B) & v1_partfun1(B,k9_setfam_1(k1_fomodel4(A))) & v1_funct_2(B,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))) & v6_fomodel4(B,A) ) ) )).
fof(rc7_fsm_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( l2_fsm_1(C,A,B) & ~ v2_struct_0(C) & v8_struct_0(C) & v5_fsm_1(C,A,B) ) ) )).
fof(rc7_funct_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_funct_1(A) ) )).
fof(rc7_functor0,axiom,( ? [A] : ( l2_altcat_1(A) & ~ v2_struct_0(A) & v1_altcat_2(A) ) )).
fof(rc7_grcat_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_grcat_1(A) ) )).
fof(rc7_hurwitz2,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_struct_0(k1_complfld)) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partfun1(A,k4_ordinal1) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_valued_0(A) & v2_valued_0(A) & v3_valued_0(A) & v1_polynom1(A,k1_complfld) & ~ v2_ratfunc1(A,k1_complfld) & v6_hurwitz2(A) & v9_hurwitz2(A) ) )).
fof(rc7_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) ) ) )).
fof(rc7_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_isomichi(B,A) ) ) )).
fof(rc7_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ? [B] : ( m1_lattad_1(B,A) & ~ v2_struct_0(B) ) ) )).
fof(rc7_lattices,axiom,( ? [A] : ( l2_lattices(A) & ~ v2_struct_0(A) & v2_lattices(A) & v4_lattices(A) & v5_lattices(A) ) )).
fof(rc7_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ? [C] : ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) ) )).
fof(rc7_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ? [B] : ( m2_monoid_0(B,A) & v15_algstr_0(B) ) ) )).
fof(rc7_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ? [B] : ( l3_msualg_1(B,A) & v3_msualg_1(B,A) & v4_msualg_1(B,A) & v1_msafree1(B,A) & v3_msafree4(B,A) ) ) )).
fof(rc7_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ? [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & ~ v1_xtuple_0(C) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v4_card_3(C) & v5_abcmiz_1(C,A,B) ) ) )).
fof(rc7_msscyc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v3_msafree2(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msafree(C,A,B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & ~ v1_xboole_0(C) & v2_finset_1(C) & v1_partfun1(C,u1_struct_0(A)) ) ) )).
fof(rc7_nat_6,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & ~ v1_int_2(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v2_nat_6(A) ) )).
fof(rc7_numpoly1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_int_1(A) & v2_int_1(A) & ~ v1_int_2(A) ) )).
fof(rc7_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v1_necklace(A) & v3_qmax_1(A) ) )).
fof(rc7_ordinal1,axiom,( ? [A] : v7_ordinal1(A) )).
fof(rc7_ordinal6,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal6(A) & v4_ordinal6(A) ) )).
fof(rc7_osalg_1,axiom,( ? [A] : ( l3_osalg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) ) )).
fof(rc7_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_msualg_2(C,A,B) & v3_msualg_1(C,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) ) ) )).
fof(rc7_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_osalg_4(C,A,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & v3_osalg_4(C,A,B) ) ) )).
fof(rc7_pboole,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,B) & v5_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,B) ) ) )).
fof(rc7_pcs_0,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) & v9_pcs_0(B) & v11_pcs_0(B) ) )).
fof(rc7_pencil_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & v14_pencil_1(B) ) => ? [C] : ( m3_pboole(C,A,k12_pralg_1(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ~ v13_pencil_1(C) & v16_pencil_1(C,A) ) ) )).
fof(rc7_polyalg1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ? [C] : ( m1_polyalg1(C,A,B) & ~ v2_struct_0(C) & v1_polyalg1(C,A) ) ) )).
fof(rc7_pre_poly,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_pre_poly(A) ) )).
fof(rc7_pre_topc,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v4_pre_topc(B,A) ) ) )).
fof(rc7_quantal1,axiom,( ? [A] : ( l2_quantal1(A) & ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) ) )).
fof(rc7_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l6_algstr_0(B) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v7_algstr_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v14_algstr_0(B) & v1_vectsp_1(B) & v2_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v6_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v9_rlvect_1(B) & v1_group_1(B) & v3_group_1(B) & v5_group_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v3_ring_2(B,A) ) ) )).
fof(rc7_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v5_ringcat1(A) ) => ? [B] : ( m1_subset_1(B,A) & v2_ringcat1(B) & v3_ringcat1(B) ) ) )).
fof(rc7_rltopsp1,axiom,( ? [A] : ( l1_rltopsp1(A) & ~ v2_struct_0(A) & v5_rltopsp1(A) ) )).
fof(rc7_robbins3,axiom,( ? [A] : ( l3_robbins3(A) & ~ v2_struct_0(A) ) )).
fof(rc7_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v1_roughs_1(A) & v2_roughs_1(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_roughs_1(B,A) ) ) )).
fof(rc7_scmyciel,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v10_ordinal1(A) & v1_finset_1(A) & v5_finset_1(A) & v2_finsub_1(A) & ~ v1_setfam_1(A) & v1_classes1(A) & v3_scmyciel(A,1) & v4_scmyciel(A) ) )).
fof(rc7_sheffer1,axiom,( ? [A] : ( l3_sheffer1(A) & v13_struct_0(A,1) ) )).
fof(rc7_simplex0,axiom,( ! [A] : ( ( ~ v5_simplex0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v3_pre_topc(B,A) ) ) )).
fof(rc7_tdlat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v3_tdlat_3(B) ) ) )).
fof(rc7_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & ~ v2_tdlat_3(A) ) )).
fof(rc7_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v13_struct_0(B,1) & v1_pre_topc(B) ) ) )).
fof(rc7_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tex_2(B,A) & v1_tex_3(B,A) ) ) )).
fof(rc7_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_tops_1(B,A) ) ) )).
fof(rc7_trees_2,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) ) )).
fof(rc7_trees_3,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v4_trees_3(A) & v5_trees_3(A) ) )).
fof(rc7_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & ~ v6_pre_topc(B) ) ) )).
fof(rc7_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v3_funct_1(C) & ~ v1_xboole_0(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v2_hahnban1(C,A,B) ) ) )).
fof(rc7_vectsp_1,axiom,( ! [A] : ( l1_struct_0(A) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & v7_vectsp_1(B,A) ) ) )).
fof(rc7_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) ) ) )).
fof(rc7_waybel35,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ? [C] : ( m1_waybel35(C,A,B) & v3_card_1(C,1) ) ) )).
fof(rc7_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(B,A) & v13_waybel_0(B,A) ) ) )).
fof(rc7_xxreal_0,axiom,( ? [A] : ( v8_ordinal1(A) & v1_xxreal_0(A) ) )).
fof(rc7_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & v1_xxreal_2(A) & ~ v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc7_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v1_yellow_6(B,A) ) ) )).
fof(rc7_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_zmodul01(B,A) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v1_zmodul01(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v6_zmodul01(B) & v1_zmodul03(B) & v2_zmodul03(B) ) ) )).
fof(rc7_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ~ v9_struct_0(B,A) ) ) )).
fof(rc8_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v6_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) ) )).
fof(rc8_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m2_abcmiz_1(B,A,k12_abcmiz_1(A)) & v2_abcmiz_1(B,A) & v4_abcmiz_a(B,A) ) ) )).
fof(rc8_abian,axiom,( ! [A] : ! [B] : ( ~ v2_setfam_1(B) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,A,B) ) ) )).
fof(rc8_algstr_0,axiom,( ? [A] : ( l3_algstr_0(A) & v13_struct_0(A,1) & v15_algstr_0(A) ) )).
fof(rc8_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ? [B] : ( m1_altcat_2(B,A) & ~ v2_struct_0(B) & v6_altcat_1(B) & v2_altcat_2(B,A) ) ) )).
fof(rc8_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ? [B] : ( l1_aofa_l00(B) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) ) ) )).
fof(rc8_armstrng,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k9_setfam_1(A)) & v5_relat_1(B,k9_setfam_1(A)) & v8_relat_2(B) & v5_armstrng(B,A) & v7_armstrng(B,A) ) )).
fof(rc8_bcialg_4,axiom,( ? [A] : ( l1_bcialg_4(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v2_bcialg_4(A) & v8_bcialg_4(A) ) )).
fof(rc8_card_1,axiom,( ! [A] : ( v1_card_1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) ) ) )).
fof(rc8_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v1_cat_6(A) & v4_cat_6(A) & v5_cat_6(A) & v6_cat_6(A) & v7_cat_6(A) & v8_cat_6(A) ) )).
fof(rc8_catalg_1,axiom,( ! [A] : ? [B] : ( m1_catalg_1(B,A) & v1_msualg_1(B) & v1_instalg1(B) & v2_catalg_1(B) & v3_catalg_1(B) ) )).
fof(rc8_circcmb3,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v1_msualg_1(A) & v2_msafree2(A) & v1_circcomb(A) & v2_circcomb(A) & v5_circcomb(A) & v4_circcmb3(A) & v6_circcmb3(A) ) )).
fof(rc8_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_cohsp_1(B) & v7_cohsp_1(B) ) ) )).
fof(rc8_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v1_compl_sp(B,A) & v6_compl_sp(B,A) ) ) )).
fof(rc8_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ? [B] : ( v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) ) )).
fof(rc8_comput_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & v2_comput_1(A) ) )).
fof(rc8_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l5_struct_0(A) ) => ? [B] : ( l2_conlat_1(B,A) & v3_conlat_1(B,A) & v5_conlat_1(B,A) ) ) )).
fof(rc8_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ? [B] : ( m1_eqrel_1(B,u1_struct_0(A)) & ~ v10_ordinal1(B) & v1_setfam_1(B) & v6_dilworth(B,A) ) ) )).
fof(rc8_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ? [B] : ( l1_extpro_1(B,A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v1_extpro_1(B,A) & v3_extpro_1(B,A) ) ) )).
fof(rc8_finseq_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v3_finseq_1(A) ) )).
fof(rc8_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v5_finset_1(A) ) )).
fof(rc8_fomodel0,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(B),k1_tarski(k1_xboole_0))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_finset_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_finseq_1(C) & v4_card_3(C) & v2_pre_poly(C) ) ) )).
fof(rc8_fomodel1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ? [C] : ( m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & ~ v1_xboole_0(C) & ~ v8_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & v1_finseq_1(C) & v2_finseq_1(C) & v4_card_3(C) & v2_pre_poly(C) & v14_fomodel1(C,A,B) ) ) )).
fof(rc8_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & ~ v8_ordinal1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v2_pre_poly(B) & ~ v15_fomodel1(B,A) & v4_fomodel2(B,A) & v5_fomodel2(B,A) ) ) )).
fof(rc8_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & ~ v8_ordinal1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v2_pre_poly(B) & v13_fomodel1(B,A) ) ) )).
fof(rc8_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(B) & v7_fomodel4(B,A) ) ) )).
fof(rc8_fsm_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( l2_fsm_1(C,A,B) & ~ v2_struct_0(C) & v8_struct_0(C) & v7_fsm_1(C,A,B) ) ) )).
fof(rc8_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) ) ) )).
fof(rc8_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ? [C] : ( l2_functor0(C,A,B) & v6_functor0(C,A,B) & v8_functor0(C,A,B) ) ) )).
fof(rc8_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_grcat_1(A) ) => ? [B] : ( m1_subset_1(B,A) & v1_grcat_1(B) & v2_grcat_1(B) ) ) )).
fof(rc8_group_9,axiom,( ! [A] : ? [B] : ( l1_group_9(B,A) & ~ v2_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v2_group_9(B,A) & v3_group_9(B,A) & v6_group_9(B,A) ) )).
fof(rc8_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) ) ) )).
fof(rc8_lattices,axiom,( ? [A] : ( l1_lattices(A) & ~ v2_struct_0(A) & v1_lattices(A) & v6_lattices(A) & v7_lattices(A) ) )).
fof(rc8_memstr_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) & v4_card_3(D) & v5_memstr_0(D,A,B,C) ) ) )).
fof(rc8_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ? [B] : ( m2_monoid_0(B,A) & ~ v2_struct_0(B) & v15_algstr_0(B) ) ) )).
fof(rc8_msafree4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( l3_msualg_1(C,A) & v3_msualg_1(C,A) & v4_msualg_1(C,A) & v1_msualg_6(C,A) & ~ v1_catalg_1(C,A) & v4_msafree4(C,A,B) ) ) )).
fof(rc8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) ) => ? [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ v1_xboole_0(E) & v1_relat_1(E) & ~ v1_xtuple_0(E) & v1_funct_1(E) & v1_finset_1(E) & v3_trees_2(E) & v4_card_3(E) & ~ v5_abcmiz_1(E,A,B) & v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) ) ) )).
fof(rc8_msualg_1,axiom,( ? [A] : ( l1_msualg_1(A) & ~ v11_struct_0(A) & v13_struct_0(A,1) & v1_msualg_1(A) & v5_msualg_1(A) ) )).
fof(rc8_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v5_orders_2(A) & v1_necklace(A) & v3_qmax_1(A) ) )).
fof(rc8_ordinal1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v7_ordinal1(A) ) )).
fof(rc8_ordinal6,axiom,( ? [A] : ( v1_ordinal1(A) & ~ v1_xboole_0(A) & v1_classes1(A) & v2_classes1(A) & ~ v4_card_3(A) & v1_classes2(A) ) )).
fof(rc8_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & l3_osalg_1(A) ) => ? [B] : ( m1_subset_1(B,u4_struct_0(A)) & v7_osalg_1(B,A) ) ) )).
fof(rc8_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m2_osalg_2(C,A,B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v3_msualg_2(C,A,B) ) ) )).
fof(rc8_osalg_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( m1_osalg_4(C,A,B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v2_funcop_1(C) & v2_msualg_4(C,A,B) & v3_osalg_4(C,A,B) ) ) )).
fof(rc8_pcs_0,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) & v10_pcs_0(B) & v11_pcs_0(B) ) )).
fof(rc8_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v13_pencil_1(B) & v16_pencil_1(B,A) ) ) )).
fof(rc8_pre_poly,axiom,( ? [A] : ( v4_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) )).
fof(rc8_pre_topc,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v5_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) ) ) )).
fof(rc8_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v6_random_3(B,A) ) ) )).
fof(rc8_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l6_algstr_0(B) & ~ v2_struct_0(B) & v5_algstr_0(B) & v6_algstr_0(B) & v7_algstr_0(B) & v12_algstr_0(B) & v13_algstr_0(B) & v14_algstr_0(B) & v1_vectsp_1(B) & v2_vectsp_1(B) & v3_vectsp_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v6_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v9_rlvect_1(B) & v1_group_1(B) & v3_group_1(B) & v1_algstr_1(B) & v2_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v3_ring_2(B,A) ) ) )).
fof(rc8_rltopsp1,axiom,( ? [A] : ( l1_rltopsp1(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v5_rltopsp1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) ) )).
fof(rc8_robbins3,axiom,( ? [A] : ( l3_robbins3(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) ) )).
fof(rc8_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v5_finset_1(B) & v3_scmyciel(B,1) & v4_scmyciel(B) ) ) )).
fof(rc8_sheffer1,axiom,( ? [A] : ( l3_sheffer1(A) & ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v8_robbins1(A) & v9_sheffer1(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) ) )).
fof(rc8_simplex0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v3_matroid0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & v3_pre_topc(B,A) ) ) )).
fof(rc8_tdlat_3,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v4_tdlat_3(A) ) )).
fof(rc8_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & ~ v1_tdlat_3(A) & ~ v2_tdlat_3(A) & v3_tdlat_3(A) ) )).
fof(rc8_tex_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v7_struct_0(B) & v1_pre_topc(B) & v1_tex_2(B,A) ) ) )).
fof(rc8_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & ~ v4_tex_3(B,A) ) ) )).
fof(rc8_trees_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) ) )).
fof(rc8_trees_3,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v6_trees_3(A) ) )).
fof(rc8_vectsp10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & ~ v3_funct_1(C) & ~ v1_xboole_0(C) & ~ v1_zfmisc_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(C,B,A) & v1_hahnban1(C,A,B) ) ) )).
fof(rc8_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_1(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) ) ) )).
fof(rc8_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( l1_vectsp_2(B,A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_vectsp_2(B,A) ) ) )).
fof(rc8_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v12_waybel_0(B,A) & v13_waybel_0(B,A) ) ) )).
fof(rc8_xxreal_0,axiom,( ? [A] : ( v8_ordinal1(A) & v1_xxreal_0(A) ) )).
fof(rc8_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & ~ v1_xboole_0(A) & ~ v1_xxreal_2(A) & ~ v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc8_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ? [C] : ( m3_yellow_6(C,A,B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v2_pralg_1(C) & v1_yellow_1(C) & v4_waybel_3(C) ) ) )).
fof(rc9_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) & ~ v1_xtuple_0(B) & ~ v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v7_abcmiz_1(B,A) & v8_abcmiz_1(B,A) ) ) )).
fof(rc9_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ? [B] : ( m2_abcmiz_1(B,A,k13_abcmiz_1(A)) & v2_abcmiz_1(B,A) & v4_abcmiz_a(B,A) ) ) )).
fof(rc9_abian,axiom,( ? [A] : ( v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) & v2_int_1(A) & ~ v1_abian(A) ) )).
fof(rc9_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ? [B] : ( m1_altcat_2(B,A) & ~ v2_struct_0(B) & v6_altcat_1(B) & v2_altcat_2(B,A) & v3_altcat_2(B,A) ) ) )).
fof(rc9_bilinear,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & v1_bilinear(C,A,B,B) & v2_bilinear(C,A,B,B) & v8_bilinear(C,A,B) ) ) )).
fof(rc9_card_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v3_card_1(B,1) ) ) )).
fof(rc9_cat_6,axiom,( ? [A] : ( l1_cat_6(A) & v1_cat_6(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) ) )).
fof(rc9_circcmb3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ? [B] : ( m1_circcmb3(B,A) & ~ v2_struct_0(B) & v8_struct_0(B) & ~ v11_struct_0(B) & v14_struct_0(B) & v1_msualg_1(B) & v2_msafree2(B) & v1_circcomb(B) & v2_circcomb(B) & v5_circcomb(B) & v4_circcmb3(B) & v6_circcmb3(B) ) ) )).
fof(rc9_cohsp_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v10_cohsp_1(A) ) )).
fof(rc9_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,k9_setfam_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v1_compl_sp(B,A) & v7_compl_sp(B,A) ) ) )).
fof(rc9_comput_1,axiom,( ! [A] : ? [B] : ( m1_finseq_1(B,A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v4_card_3(B) & v1_finseq_1(B) & v2_finseq_1(B) & v3_comput_1(B) ) )).
fof(rc9_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ? [B] : ( l2_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) ) ) )).
fof(rc9_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ? [D] : ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) & v4_card_3(D) & v4_extpro_1(D,A,B,C) & v5_extpro_1(D,A,B,C) ) ) )).
fof(rc9_finseq_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) ) )).
fof(rc9_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) ) )).
fof(rc9_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_partfun1(B,A) & v1_relat_2(B) ) ) )).
fof(rc9_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & ~ v1_xboole_0(B) & ~ v8_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v4_card_3(B) & v2_pre_poly(B) & v15_fomodel1(B,A) ) ) )).
fof(rc9_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k1_fomodel1(A)) & ~ v4_fomodel1(B,A) ) ) )).
fof(rc9_fomodel3,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : ( m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & ~ v8_ordinal1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_finseq_1(B) & v2_pre_poly(B) & v15_fomodel1(B,A) ) ) )).
fof(rc9_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ? [B] : v12_fomodel4(B,A) ) )).
fof(rc9_fsm_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( l2_fsm_1(C,A,B) & ~ v2_struct_0(C) & v8_struct_0(C) & v5_fsm_1(C,A,B) & v7_fsm_1(C,A,B) ) ) )).
fof(rc9_funct_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) )).
fof(rc9_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ? [C] : ( l2_functor0(C,A,B) & v6_functor0(C,A,B) & v8_functor0(C,A,B) & v9_functor0(C,A,B) & v12_functor0(C,A,B) ) ) )).
fof(rc9_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v5_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_partfun1(D,u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v7_group_9(D,A,B,C) ) ) )).
fof(rc9_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v7_algstr_0(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(A)) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) ) ) )).
fof(rc9_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & v8_isomichi(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_isomichi(B,A) ) ) )).
fof(rc9_lattices,axiom,( ? [A] : ( l3_lattices(A) & ~ v2_struct_0(A) & v3_lattices(A) & v10_lattices(A) ) )).
fof(rc9_memstr_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(A,B),k11_memstr_0(A,B)))) & v1_relat_1(C) & v4_relat_1(C,k11_memstr_0(A,B)) & v5_relat_1(C,k11_memstr_0(A,B)) & v1_funct_1(C) & v1_funcop_1(C) & v2_funcop_1(C) & v6_memstr_0(C,A,B) ) ) )).
fof(rc9_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v5_msafree5(C) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),C,B)) ) => ? [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & ~ v1_xboole_0(E) & v1_relat_1(E) & ~ v1_xtuple_0(E) & v1_funct_1(E) & v1_finset_1(E) & v3_trees_2(E) & v4_card_3(E) & v9_msafree5(E,A,C,k1_msafree3(A,C),B,D) ) ) )).
fof(rc9_numpoly1,axiom,( ? [A] : ( v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) & v1_int_1(A) & v2_int_1(A) & v1_pythtrip(A) & v1_numpoly1(A) ) )).
fof(rc9_oposet_1,axiom,( ? [A] : ( l2_qmax_1(A) & ~ v2_struct_0(A) & v2_necklace(A) & v3_qmax_1(A) ) )).
fof(rc9_ordinal1,axiom,( ? [A] : v8_ordinal1(A) )).
fof(rc9_osalg_1,axiom,( ? [A] : ( l3_osalg_1(A) & ~ v2_struct_0(A) & ~ v11_struct_0(A) & v14_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) ) )).
fof(rc9_pcs_0,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) ) )).
fof(rc9_pre_poly,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(B) & v4_relat_1(B,A) & v5_relat_1(B,A) & v1_partfun1(B,A) & v1_funct_2(B,A,A) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v2_wellord1(B) & v3_orders_1(B) ) )).
fof(rc9_pre_topc,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) ) )).
fof(rc9_random_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v6_random_3(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v7_random_3(C,A,B) ) ) )).
fof(rc9_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v9_rltopsp1(B,A) ) ) )).
fof(rc9_robbins1,axiom,( ? [A] : ( l4_robbins1(A) & ~ v2_struct_0(A) & v10_lattices(A) & v4_robbins1(A) & v5_robbins1(A) & v6_robbins1(A) ) )).
fof(rc9_robbins3,axiom,( ? [A] : ( l3_robbins3(A) & ~ v2_struct_0(A) & v10_lattices(A) ) )).
fof(rc9_scmyciel,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v10_ordinal1(A) & v5_finset_1(A) & v2_finsub_1(A) & ~ v1_setfam_1(A) & v1_classes1(A) & v3_scmyciel(A,1) & v4_scmyciel(A) & v5_scmyciel(A) ) )).
fof(rc9_simplex0,axiom,( ! [A] : ! [B] : ( m1_simplex0(B,A) => ? [C] : ( m2_simplex0(C,A,B) & v2_struct_0(C) & v1_pre_topc(C) & v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) ) ) )).
fof(rc9_tdlat_3,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v5_tdlat_3(A) ) )).
fof(rc9_tex_1,axiom,( ? [A] : ( l1_pre_topc(A) & ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & ~ v3_tdlat_3(A) ) )).
fof(rc9_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v13_struct_0(B,1) ) ) )).
fof(rc9_tex_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) ) => ? [B] : ( m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & ~ v2_tex_3(B,A) ) ) )).
fof(rc9_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & ~ v1_xboole_0(C) ) ) )).
fof(rc9_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ? [B] : ( m4_trees_3(B,A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) ) )).
fof(rc9_vectsp_1,axiom,( ? [A] : ( l2_algstr_0(A) & ~ v2_struct_0(A) & v12_vectsp_1(A) ) )).
fof(rc9_vectsp_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ? [C] : ( l2_vectsp_2(C,A,B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_vectsp_2(C,A,B) ) ) )).
fof(rc9_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) ) ) )).
fof(rc9_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( l1_waybel_0(B,A) & ~ v2_struct_0(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v3_yellow_6(B,A) ) ) )).
fof(rd10_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k1_funct_1(k16_afinsq_1(A,B,C,D),1) = B )).
fof(rd10_fomodel0,axiom,( ! [A] : k32_fomodel0(k6_partfun1(A)) = A )).
fof(rd10_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_msafree4(u1_struct_0(A),B,C)) & v8_msafree5(E,A,B,k1_msafree3(A,B),C,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => k18_msafree5(A,B,C,D,E,k6_msafree5(A,B,C,D)) = E ) )).
fof(rd10_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k5_xtuple_0(k6_xtuple_0(A,B,C,D)) = C )).
fof(rd11_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k1_funct_1(k16_afinsq_1(A,B,C,D),2) = C )).
fof(rd11_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),B,D)) ) => k1_msafree4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),D),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k5_msafree5(A,B,C),D),k6_msafree5(A,B,D,E)) = k6_msafree5(A,B,D,E) ) )).
fof(rd11_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_xtuple_0(k6_xtuple_0(A,B,C,D)) = D )).
fof(rd12_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k1_funct_1(k16_afinsq_1(A,B,C,D),3) = D )).
fof(rd12_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k10_subset_1(1,k4_finseq_1(A)) = 1 ) )).
fof(rd12_xtuple_0,axiom,( ! [A] : ( v3_xtuple_0(A) => k6_xtuple_0(k7_xtuple_0(A),k8_xtuple_0(A),k5_xtuple_0(A),k2_xtuple_0(A)) = A ) )).
fof(rd13_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k10_subset_1(k3_finseq_1(A),k4_finseq_1(A)) = k3_finseq_1(A) ) )).
fof(rd1_absvalue,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => k9_complex1(A) = A ) )).
fof(rd1_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => k1_ordinal4(A,k1_xboole_0) = A ) )).
fof(rd1_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,B)) = k9_bvfunc_1(A,C,B) ) )).
fof(rd1_card_1,axiom,( ! [A] : ( v1_card_1(A) => k1_card_1(A) = A ) )).
fof(rd1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_cat_1(C,A,B,B) ) => k5_cat_1(A,B,B,B,k4_cat_1(A,B),C) = C ) )).
fof(rd1_cayldick,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_cayldick)) => k2_cayldick(k3_cayldick,A) = A ) )).
fof(rd1_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => k8_complex1(A) = A ) )).
fof(rd1_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => k5_compos_1(A,B,k5_numbers) = B ) )).
fof(rd1_csspace,axiom,( ! [A] : ( m1_subset_1(A,k1_csspace) => k2_csspace(A) = A ) )).
fof(rd1_extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k5_extpro_1(A,B,C,D,k5_numbers) = D ) )).
fof(rd1_fomodel0,axiom,( ! [A] : ! [B] : k13_fomodel0(B,A) = A )).
fof(rd1_funct_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => k1_funct_1(k4_relat_1(A),B) = B ) )).
fof(rd1_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v3_binop_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) ) => k4_binop_1(A,B,C,C) = C ) )).
fof(rd1_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_xboole_0(B) ) => k1_funct_4(B,A) = A ) )).
fof(rd1_gaussint,axiom,( ! [A] : ( v1_int_1(A) => k10_subset_1(A,k1_gaussint) = A ) )).
fof(rd1_int_1,axiom,( ! [A] : ( v1_int_1(A) => k10_subset_1(A,k4_numbers) = A ) )).
fof(rd1_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => k1_lattices(A,B,B) = B ) )).
fof(rd1_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k7_finseq_1(A,k1_xboole_0) = A ) )).
fof(rd1_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => k10_subset_1(A,k4_ordinal1) = A ) )).
fof(rd1_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(1,A) = 1 ) )).
fof(rd1_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_cat_1(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v4_nattra_1(A) & l1_cat_1(A) ) => k10_nattra_1(A) = A ) )).
fof(rd1_newton,axiom,( ! [A] : ( v1_xcmplx_0(A) => k1_newton(A,1) = A ) )).
fof(rd1_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => k18_rvsum_1(k5_numpoly1(A,k5_numbers)) = k5_numbers ) )).
fof(rd1_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_yellow_0(k4_poset_2(A)) = A ) )).
fof(rd1_pre_ff,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k10_subset_1(k4_tarski(A,B),k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) = k4_tarski(A,B) ) )).
fof(rd1_relat_1,axiom,( ! [A] : k9_xtuple_0(k4_relat_1(A)) = A )).
fof(rd1_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k1_algstr_0(A,B,C) = C ) )).
fof(rd1_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => k3_roughs_1(A,k2_struct_0(A)) = k2_struct_0(A) ) )).
fof(rd1_rsspace,axiom,( ! [A] : ( m1_subset_1(A,k1_rsspace) => k2_rsspace(A) = A ) )).
fof(rd1_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) ) => k61_valued_1(A,k5_numbers) = A ) )).
fof(rd1_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v9_struct_0(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => k6_algstr_0(A,B,C) = C ) )).
fof(rd1_xcmplx_0,axiom,( ! [A] : ( v1_xcmplx_0(A) => k10_subset_1(A,k2_numbers) = A ) )).
fof(rd1_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => k10_subset_1(A,k1_numbers) = A ) )).
fof(rd1_xtuple_0,axiom,( ! [A] : ! [B] : k1_xtuple_0(k4_tarski(A,B)) = A )).
fof(rd1_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => k10_subset_1(A,k6_numbers) = A ) )).
fof(rd1_zfmisc_1,axiom,( ! [A] : k3_tarski(k1_tarski(A)) = A )).
fof(rd1_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) ) => k22_zmodul02(A,B,k19_zmodul02(A)) = B ) )).
fof(rd2_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => k1_ordinal4(k1_xboole_0,A) = A ) )).
fof(rd2_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_cat_1(C,A,B,B) ) => k5_cat_1(A,B,B,B,C,k4_cat_1(A,B)) = C ) )).
fof(rd2_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_cayldick(A) & l1_cayldick(A) ) => k2_cayldick(A,k4_struct_0(A)) = k4_struct_0(A) ) )).
fof(rd2_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v7_ordinal1(B) ) => k5_compos_1(A,k4_compos_1(A),B) = k4_compos_1(A) ) )).
fof(rd2_fomodel0,axiom,( ! [A] : k22_fomodel0(A) = A )).
fof(rd2_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_xboole_0(B) ) => k1_funct_4(A,B) = A ) )).
fof(rd2_gaussint,axiom,( ! [A] : ( v1_int_1(A) => k10_subset_1(A,k3_numbers) = A ) )).
fof(rd2_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_lattices(A,B,B) = B ) )).
fof(rd2_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k7_finseq_1(k1_xboole_0,A) = A ) )).
fof(rd2_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => k1_newton(k4_xcmplx_0(1),A) = 1 ) )).
fof(rd2_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(1,A) = 1 ) )).
fof(rd2_numpoly1,axiom,( ! [A] : ( v1_xreal_0(A) => k1_seq_2(k1_seq_1(A)) = A ) )).
fof(rd2_relat_1,axiom,( ! [A] : k10_xtuple_0(k4_relat_1(A)) = A )).
fof(rd2_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k1_algstr_0(A,C,B) = C ) )).
fof(rd2_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_2(A) & l1_orders_2(A) ) => k4_roughs_1(A,k2_struct_0(A)) = k2_struct_0(A) ) )).
fof(rd2_rsspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k2_rsspace(A) = A ) )).
fof(rd2_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_topalg_7(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => k6_algstr_0(A,B,C) = B ) )).
fof(rd2_vectsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k6_algstr_0(A,B,C) = B ) )).
fof(rd2_xtuple_0,axiom,( ! [A] : ! [B] : k2_xtuple_0(k4_tarski(A,B)) = B )).
fof(rd2_zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) ) => k23_zmodul02(A,B,1) = B ) )).
fof(rd3_afinsq_1,axiom,( ! [A] : k1_funct_1(k5_afinsq_1(A),k5_numbers) = A )).
fof(rd3_cat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => k3_graph_1(A,k4_cat_1(A,B)) = B ) )).
fof(rd3_cayldick,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v31_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v3_cayldick(A) & v5_cayldick(A) & l1_cayldick(A) & m1_subset_1(B,u1_struct_0(A)) ) => k2_cayldick(A,k2_cayldick(A,B)) = B ) )).
fof(rd3_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => k8_compos_1(A,B,k4_compos_1(A)) = B ) )).
fof(rd3_csspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k2_csspace(A) = A ) )).
fof(rd3_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => k9_xtuple_0(k2_zfmisc_1(A,B)) = A ) )).
fof(rd3_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => k1_funct_4(k1_funct_4(A,B),B) = k1_funct_4(A,B) ) )).
fof(rd3_gaussint,axiom,( ! [A] : ( v1_rat_1(A) => k10_subset_1(A,k8_gaussint) = A ) )).
fof(rd3_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => k3_lattices(A,k5_lattices(A),B) = B ) )).
fof(rd3_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_xboole_0(B) ) => k2_msafree5(B,A) = B ) )).
fof(rd3_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) ) => k1_newton(k4_xcmplx_0(1),A) = k4_xcmplx_0(1) ) )).
fof(rd3_numpoly1,axiom,( k1_funct_1(k10_numpoly1,k5_numbers) = k5_numbers )).
fof(rd3_relat_1,axiom,( ! [A] : k2_relat_1(k4_relat_1(A)) = k4_relat_1(A) )).
fof(rd3_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) ) => k1_rlvect_1(A,B,C) = B ) )).
fof(rd3_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_2(A) & l1_orders_2(A) ) => k3_roughs_1(A,k1_struct_0(A)) = k1_struct_0(A) ) )).
fof(rd3_rsspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k4_rsspace)) => k2_rsspace(A) = A ) )).
fof(rd3_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_topalg_7(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => k6_algstr_0(A,C,B) = B ) )).
fof(rd3_vectsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => k9_algstr_0(A,k9_algstr_0(A,B)) = B ) )).
fof(rd3_xtuple_0,axiom,( ! [A] : ( v1_xtuple_0(A) => k4_tarski(k1_xtuple_0(A),k2_xtuple_0(A)) = A ) )).
fof(rd4_afinsq_1,axiom,( ! [A] : ! [B] : k1_funct_1(k6_afinsq_1(A,B),k5_numbers) = A )).
fof(rd4_cat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_graph_1(A,k4_cat_1(A,B)) = B ) )).
fof(rd4_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v31_algstr_0(A) & v8_rlvect_1(A) & v6_vectsp_1(A) & v3_lopban_2(A) & v3_cayldick(A) & l1_cayldick(A) ) => k2_cayldick(A,k5_struct_0(A)) = k5_struct_0(A) ) )).
fof(rd4_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => k8_compos_1(A,k4_compos_1(A),B) = B ) )).
fof(rd4_csspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_csspace)) => k2_csspace(A) = A ) )).
fof(rd4_fomodel0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => k10_xtuple_0(k2_zfmisc_1(B,A)) = A ) )).
fof(rd4_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_lattices(A,k5_lattices(A),B) = k5_lattices(A) ) )).
fof(rd4_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) => k5_trees_1(B,k6_finseq_1(k4_ordinal1),A) = A ) )).
fof(rd4_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k5_relat_1(A,k9_xtuple_0(A)) = A ) )).
fof(rd4_rlvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_algstr_0(A,B) = B ) )).
fof(rd4_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => k4_roughs_1(A,k1_struct_0(A)) = k1_struct_0(A) ) )).
fof(rd4_rsspace,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) => k2_rsspace(A) = A ) )).
fof(rd4_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k2_group_1(A,k1_group_1(A)) = k1_group_1(A) ) )).
fof(rd4_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : k4_xtuple_0(k3_xtuple_0(A,B,C)) = A )).
fof(rd5_afinsq_1,axiom,( ! [A] : ! [B] : k1_funct_1(k6_afinsq_1(A,B),1) = B )).
fof(rd5_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v31_algstr_0(A) & v8_rlvect_1(A) & v3_vectsp_1(A) & v3_lopban_2(A) & v3_cayldick(A) & l1_cayldick(A) ) => k2_cayldick(A,k5_struct_0(A)) = k5_struct_0(A) ) )).
fof(rd5_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => k6_compos_1(A,B,k5_numbers) = B ) )).
fof(rd5_csspace,axiom,( ! [A] : ( m1_subset_1(A,k9_csspace) => k2_csspace(A) = A ) )).
fof(rd5_fomodel0,axiom,( ! [A] : ! [B] : k2_xboole_0(k6_subset_1(A,B),k3_xboole_0(A,B)) = A )).
fof(rd5_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_lattices(A,k6_lattices(A),B) = B ) )).
fof(rd5_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => k7_trees_2(B,k6_finseq_1(k4_ordinal1),A) = A ) )).
fof(rd5_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => k5_relat_1(k5_relat_1(A,B),B) = k5_relat_1(A,B) ) )).
fof(rd5_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v9_struct_0(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => k5_algstr_0(A,B,C) = B ) )).
fof(rd5_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : k5_xtuple_0(k3_xtuple_0(A,B,C)) = B )).
fof(rd6_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : k1_funct_1(k7_afinsq_1(A,B,C),k5_numbers) = A )).
fof(rd6_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k63_valued_1(k10_compos_1(A,B)) = B ) )).
fof(rd6_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & m1_subset_1(B,k1_zfmisc_1(k9_xtuple_0(A))) ) => k1_relset_1(B,k5_relat_1(A,B)) = B ) )).
fof(rd6_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => k3_lattices(A,k6_lattices(A),B) = k6_lattices(A) ) )).
fof(rd6_msafree5,axiom,( ! [A] : ( v7_ordinal1(A) => k4_card_1(A) = A ) )).
fof(rd6_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k6_relat_1(k10_xtuple_0(A),A) = A ) )).
fof(rd6_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : k2_xtuple_0(k3_xtuple_0(A,B,C)) = C )).
fof(rd7_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : k1_funct_1(k7_afinsq_1(A,B,C),1) = B )).
fof(rd7_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_partit_2(A) & m1_subset_1(B,k9_xtuple_0(A)) ) => k1_funct_1(A,k1_funct_1(A,B)) = B ) )).
fof(rd7_lattices,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => k7_lattices(A,k7_lattices(A,B)) = B ) )).
fof(rd7_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => k9_trees_4(k1_trees_4(A),B,A) = B ) )).
fof(rd7_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k6_relat_1(A,k6_relat_1(A,B)) = k6_relat_1(A,B) ) )).
fof(rd7_xtuple_0,axiom,( ! [A] : ( v2_xtuple_0(A) => k3_xtuple_0(k4_xtuple_0(A),k5_xtuple_0(A),k2_xtuple_0(A)) = A ) )).
fof(rd8_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : k1_funct_1(k7_afinsq_1(A,B,C),2) = C )).
fof(rd8_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k7_relset_1(A,A,k6_partfun1(A),B) = B ) )).
fof(rd8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) ) => k4_msafree5(A,k1_msafree3(A,B),C,k5_msafree5(A,B,C),k1_msafree5(A,B,C,D)) = D ) )).
fof(rd8_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => k5_relat_1(B,A) = B ) )).
fof(rd8_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k7_xtuple_0(k6_xtuple_0(A,B,C,D)) = A )).
fof(rd9_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k1_funct_1(k16_afinsq_1(A,B,C,D),k5_numbers) = A )).
fof(rd9_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_partfun1(A))) => k2_relat_1(B) = B ) )).
fof(rd9_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),B,D)) ) => k4_msafree5(A,k1_msafree3(A,B),C,k5_msafree5(A,B,C),k6_msafree5(A,B,D,E)) = k6_msafree5(A,B,D,E) ) )).
fof(rd9_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => k6_relat_1(A,B) = B ) )).
fof(rd9_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k8_xtuple_0(k6_xtuple_0(A,B,C,D)) = B )).
fof(redefinition_k10_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => k10_aofa_i00(A,B,C) = k2_aofa_i00(B,C) ) )).
fof(redefinition_k10_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => k10_aofa_l00(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k10_binarith,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k10_binarith(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k10_bspace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_subset_1(D,u1_struct_0(B)) ) => k10_bspace(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k10_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k10_bvfunc_1(A,B,C) = k8_bvfunc_1(B,C) ) )).
fof(redefinition_k10_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => k10_catalg_1(A,B,C,D) = k7_catalg_1(B,C,D) ) )).
fof(redefinition_k10_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & m1_subset_1(C,u1_struct_0(k9_clopban1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k10_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k10_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k10_comseq_3(A) = k2_series_1(A) ) )).
fof(redefinition_k10_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => k10_cqc_lang(A,B,C) = k4_qc_lang2(A,B,C) ) )).
fof(redefinition_k10_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k5_margrel1)) & v7_ordinal1(C) ) => k10_descip_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k10_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => k10_domain_1(A,B,C,D,E,F) = k3_enumset1(B,C,D,E,F) ) )).
fof(redefinition_k10_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => k10_euclid(A,B) = k54_valued_1(B) ) )).
fof(redefinition_k10_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k10_filter_0(A,B) = k8_filter_0(A,B) ) )).
fof(redefinition_k10_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => k10_finseq_4(A,B,C,D,E,F) = k8_finseq_4(B,C,D,E,F) ) )).
fof(redefinition_k10_fomodel0,axiom,( ! [A] : ! [B] : k10_fomodel0(A,B) = k4_funct_3(A,B) )).
fof(redefinition_k10_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) & v8_ordinal1(C) ) => k10_fomodel3(A,B,C) = k9_fomodel3(A,B,C) ) )).
fof(redefinition_k10_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => k10_funcop_1(A,B,C,D,E) = k5_funcop_1(C,D,E) ) )).
fof(redefinition_k10_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k10_funct_2(A,B,C,D) = k7_partfun1(B,C,D) ) )).
fof(redefinition_k10_funct_3,axiom,( ! [A] : ! [B] : k10_funct_3(A,B) = k8_funct_3(A,B) )).
fof(redefinition_k10_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(C) & m1_funct_2(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,D))) & m1_subset_1(F,A) ) => k10_funct_5(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k10_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => k10_fvsum_1(A,B,C,D) = k9_fvsum_1(B,C,D) ) )).
fof(redefinition_k10_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) ) => k10_genealg1(A,B,C,D,E,F,G) = k4_genealg1(A,B,C,D,E,F,G) ) )).
fof(redefinition_k10_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k10_glib_000(A) = k8_glib_000(A) ) )).
fof(redefinition_k10_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => k10_group_2(A,B,C) = k9_group_2(A,B,C) ) )).
fof(redefinition_k10_laplace,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => k10_laplace(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k10_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => k10_matrixj1(A,B) = k8_matrixj1(A,B) ) )).
fof(redefinition_k10_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(E,k1_zfmisc_1(A)) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(H,k1_zfmisc_1(D)) ) => k10_mcart_1(A,B,C,D,E,F,G,H) = k4_zfmisc_1(E,F,G,H) ) )).
fof(redefinition_k10_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_measure8(C,A,B) & v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k10_measure8(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k10_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,u1_struct_0(k9_monoid_1(A,B))) & m1_subset_1(D,B) ) => k10_monoid_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k10_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A),A))) & v7_ordinal1(C) & m1_subset_1(D,A) ) => k10_nat_1(A,B,C,D) = k1_binop_1(B,C,D) ) )).
fof(redefinition_k10_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pcs_0(A) & ~ v2_struct_0(B) & l1_pcs_0(B) & m1_subset_1(C,u1_struct_0(k8_pcs_0(A,B))) ) => k10_pcs_0(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k10_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k10_petri(A,B,C) = k2_relat_1(C) ) )).
fof(redefinition_k10_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & m1_subset_1(C,A) ) => k10_pralg_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k10_pre_poly,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k3_finseq_2(A)) => k10_pre_poly(A,B) = k1_card_3(B) ) )).
fof(redefinition_k10_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m2_prvect_1(B,A) & m1_subset_1(C,k4_finseq_1(A)) ) => k10_prvect_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k10_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m4_pua2mss1(B,A) ) => k10_pua2mss1(A,B) = k10_xtuple_0(B) ) )).
fof(redefinition_k10_quaterni,axiom,( k10_quaterni = k3_quaterni )).
fof(redefinition_k10_quofield,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) ) => k10_quofield(A,B) = k6_quofield(A,B) ) )).
fof(redefinition_k10_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_xreal_0(B) ) => k10_rvsum_1(A,B) = k24_valued_1(A,B) ) )).
fof(redefinition_k10_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v1_xcmplx_0(C) ) => k10_rvsum_2(A,B,C) = k24_valued_1(B,C) ) )).
fof(redefinition_k10_seq_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & v1_xcmplx_0(B) ) => k10_seq_4(A,B) = k24_valued_1(A,B) ) )).
fof(redefinition_k10_simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matroid0(B) & m1_simplex0(B,A) & v2_int_1(C) ) => k10_simplex0(A,B,C) = k8_simplex0(A,B,C) ) )).
fof(redefinition_k10_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_borsuk_2(E,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D),k4_borsuk_1(A,B,C,D)) ) => k10_topalg_4(A,B,C,D,E) = k12_mcart_1(E) ) )).
fof(redefinition_k10_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => k10_toprealc(A,B,C) = k18_valued_1(B,C) ) )).
fof(redefinition_k11_ami_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_int_1(B) ) => k11_ami_3(A,B) = k17_funcop_1(A,B) ) )).
fof(redefinition_k11_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & l1_unialg_1(A) ) => k11_aofa_000(A) = k10_aofa_000(A) ) )).
fof(redefinition_k11_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => k11_aofa_i00(A,B,C) = k3_aofa_i00(B,C) ) )).
fof(redefinition_k11_arytm_3,axiom,( k11_arytm_3 = k1_xboole_0 )).
fof(redefinition_k11_card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & m1_subset_1(B,k4_card_3(A)) ) => k11_card_3(A,B,C) = k5_relat_1(B,C) ) )).
fof(redefinition_k11_cat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) & ~ v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v16_cat_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k6_cat_6(A)) ) => k11_cat_6(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k11_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) ) => k11_chain_1(A,B,C) = k5_chain_1(A,B,C) ) )).
fof(redefinition_k11_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k11_cohsp_1(A,B,C) = k10_cohsp_1(C) ) )).
fof(redefinition_k11_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => k11_cqc_lang(A,B,C) = k15_qc_lang1(A,B,C) ) )).
fof(redefinition_k11_cqc_sim1,axiom,( ! [A] : k11_cqc_sim1(A) = k4_relat_1(A) )).
fof(redefinition_k11_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k5_margrel1)) & m1_subset_1(C,k4_finseq_2(A,k5_margrel1)) ) => k11_descip_1(A,B,C) = k4_bvfunc_1(B,C) ) )).
fof(redefinition_k11_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) ) => k11_domain_1(A,B,C,D,E,F,G) = k4_enumset1(B,C,D,E,F,G) ) )).
fof(redefinition_k11_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => k11_euclid(A,B) = k39_valued_1(B) ) )).
fof(redefinition_k11_facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & l1_msualg_1(A) & v4_msafree2(B,A) & v6_circcomb(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k11_facirc_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k11_filter_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_nat_lat(B,A) ) => k11_filter_2(A,B) = k1_lattice2(B) ) )).
fof(redefinition_k11_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v1_relat_1(D) & v1_funct_1(D) & v2_fomodel2(D,A,B,C) & v10_fomodel1(E,A) & m1_subset_1(E,k1_fomodel1(A)) ) => k11_fomodel2(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k11_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => k11_funcop_1(A,B,C,D) = k10_xtuple_0(D) ) )).
fof(redefinition_k11_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => k11_funct_5(A,B,C,D) = k1_funct_5(D) ) )).
fof(redefinition_k11_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k11_funct_7(A,B,C) = k10_funct_7(B,C) ) )).
fof(redefinition_k11_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) ) => k11_genealg1(A,B,C,D,E,F,G,H) = k5_genealg1(A,B,C,D,E,F,G,H) ) )).
fof(redefinition_k11_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k11_glib_000(A) = k9_glib_000(A) ) )).
fof(redefinition_k11_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,A) & l1_group_9(D,A) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v7_group_9(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v1_group_6(F,C,D) & v7_group_9(F,A,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => k11_group_9(A,B,C,D,E,F) = k3_relat_1(E,F) ) )).
fof(redefinition_k11_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k11_lang1(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k11_ltlaxio3,axiom,( ! [A] : ! [B] : ( ( v2_funct_1(A) & m1_finseq_1(A,k1_hilbert1) & v2_funct_1(B) & m1_finseq_1(B,k1_hilbert1) ) => k11_ltlaxio3(A,B) = k4_tarski(A,B) ) )).
fof(redefinition_k11_margrel1,axiom,( ! [A] : k11_margrel1(A) = k10_margrel1(A) )).
fof(redefinition_k11_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,A) ) => k11_matrix_0(A,B,C,D) = k10_matrix_0(B,C,D) ) )).
fof(redefinition_k11_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => k11_matrixj1(A,B) = k9_matrixj1(A,B) ) )).
fof(redefinition_k11_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k11_measure8(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k11_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => k11_monoid_1(A,B) = k9_monoid_1(A,B) ) )).
fof(redefinition_k11_nat_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k11_nat_3(A,B) = k10_nat_3(A,B) ) )).
fof(redefinition_k11_newton,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k11_newton(A,B) = k1_newton(A,B) ) )).
fof(redefinition_k11_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => k11_openlatt(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k11_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pcs_0(A) & ~ v2_struct_0(B) & l1_pcs_0(B) & m1_subset_1(C,u1_struct_0(k8_pcs_0(A,B))) ) => k11_pcs_0(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k11_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k11_polynom1(A,B,C,D) = k10_polynom1(A,B,C,D) ) )).
fof(redefinition_k11_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_valued_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_valued_0(C) ) => k11_pre_poly(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k11_prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m2_prvect_1(B,A) ) => k11_prvect_1(A,B) = k6_funct_6(B) ) )).
fof(redefinition_k11_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) & m1_subset_1(B,k4_finseq_1(A)) ) => k11_prvect_2(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k11_quaterni,axiom,( k11_quaterni = k4_quaterni )).
fof(redefinition_k11_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) & m1_subset_1(B,k10_ringcat1(A)) ) => k11_ringcat1(A,B) = k1_ringcat1(B) ) )).
fof(redefinition_k11_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & v1_xreal_0(C) ) => k11_rvsum_1(A,B,C) = k24_valued_1(B,C) ) )).
fof(redefinition_k11_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k11_rvsum_2(A,B) = k18_valued_1(A,B) ) )).
fof(redefinition_k11_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k11_seq_4(A) = k54_valued_1(A) ) )).
fof(redefinition_k11_toprealc,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => k11_toprealc(A,B) = k39_valued_1(B) ) )).
fof(redefinition_k12_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => k12_abcmiz_a(A,B,C) = k11_abcmiz_a(A,B,C) ) )).
fof(redefinition_k12_ami_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) & v1_int_1(C) & v1_int_1(D) ) => k12_ami_3(A,B,C,D) = k4_funct_4(A,B,C,D) ) )).
fof(redefinition_k12_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => k12_aofa_i00(A,B,C) = k4_aofa_i00(B,C) ) )).
fof(redefinition_k12_arytm_3,axiom,( k12_arytm_3 = k1_arytm_3 )).
fof(redefinition_k12_cgames_1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m1_subset_1(B,k2_cgames_1(A)) ) => k12_cgames_1(A,B) = k10_cgames_1(B) ) )).
fof(redefinition_k12_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => k12_cqc_lang(A,B,C) = k5_qc_lang2(A,B,C) ) )).
fof(redefinition_k12_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_finseq_2(B,k4_finseq_2(A,k5_margrel1))) & m1_subset_1(D,k2_finseq_1(B)) ) => k12_descip_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k12_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)) & v1_diff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k1_numbers,k1_numbers)))) & v7_ordinal1(B) ) => k12_diff_1(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k12_finseq_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k12_finseq_1(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k12_fomodel0,axiom,( ! [A] : ! [B] : k12_fomodel0(A,B) = k3_xboole_0(A,B) )).
fof(redefinition_k12_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_relat_1(E) ) => k12_fomodel3(A,B,C,D,E) = k11_fomodel3(A,B,C,D,E) ) )).
fof(redefinition_k12_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => k12_freealg(A,B) = k8_freealg(A,B) ) )).
fof(redefinition_k12_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => k12_funcop_1(A,B,C,D) = k1_funcop_1(D) ) )).
fof(redefinition_k12_funct_3,axiom,( ! [A] : k12_funct_3(A) = k11_funct_3(A) )).
fof(redefinition_k12_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => k12_funct_5(A,B,C,D) = k3_funct_5(D) ) )).
fof(redefinition_k12_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => k12_functor0(A) = k11_functor0(A) ) )).
fof(redefinition_k12_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,k4_finseq_2(A,u1_struct_0(B))) ) => k12_fvsum_1(A,B,C,D) = k11_fvsum_1(B,C,D) ) )).
fof(redefinition_k12_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) & m1_subset_1(I,k4_ordinal1) ) => k12_genealg1(A,B,C,D,E,F,G,H,I) = k6_genealg1(A,B,C,D,E,F,G,H,I) ) )).
fof(redefinition_k12_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k12_ideal_1(A,B,C) = k11_ideal_1(A,B,C) ) )).
fof(redefinition_k12_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k12_lattice3(A,B,C) = k11_lattice3(A,B,C) ) )).
fof(redefinition_k12_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => k12_lattice5(A,B,C,D,E) = k11_lattice5(A,B,C,D,E) ) )).
fof(redefinition_k12_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k12_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k12_ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_ltlaxio3(A) & v3_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) & m4_ltlaxio4(C,A,B) & v7_ordinal1(D) ) => k12_ltlaxio4(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k12_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & v16_monoid_0(A) & v17_monoid_0(A) & l3_algstr_0(A) ) => k12_monoid_1(A,B) = k9_monoid_1(A,B) ) )).
fof(redefinition_k12_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k12_msafree5(A,B,C,D) = k2_matrix_7(A,B,C,D) )).
fof(redefinition_k12_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_subset_1(B,k9_openlatt(A)) & m1_subset_1(C,k9_openlatt(A)) ) => k12_openlatt(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k12_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k12_polynom3(A,B,C) = k11_polynom3(A,B,C) ) )).
fof(redefinition_k12_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) & m1_subset_1(C,u4_struct_0(k11_pua2mss1(A,B))) ) => k12_pua2mss1(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k12_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & v1_xreal_0(D) ) => k12_rfunct_3(A,B,C,D) = k24_valued_1(C,D) ) )).
fof(redefinition_k12_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) & m1_subset_1(B,k10_ringcat1(A)) ) => k12_ringcat1(A,B) = k2_ringcat1(B) ) )).
fof(redefinition_k12_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k12_rvsum_1(A) = k39_valued_1(A) ) )).
fof(redefinition_k12_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => k12_rvsum_2(A,B,C) = k18_valued_1(B,C) ) )).
fof(redefinition_k12_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k3_qc_lang1(A)) & m1_subset_1(D,B) ) => k12_sublemma(A,B,C,D) = k17_funcop_1(C,D) ) )).
fof(redefinition_k12_supinf_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_valued_0(A) ) => k12_supinf_2(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k12_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => k12_toprealc(A,B,C) = k50_valued_1(B,C) ) )).
fof(redefinition_k13_abcmiz_a,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v2_abcmiz_1(B,A) & v4_abcmiz_a(B,A) & m2_abcmiz_1(B,A,k12_abcmiz_1(A)) ) => k13_abcmiz_a(A,B) = k29_abcmiz_1(A,B) ) )).
fof(redefinition_k13_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => k13_aofa_i00(A,B,C) = k5_aofa_i00(B,C) ) )).
fof(redefinition_k13_borsuk_7,axiom,( ! [A] : ( v1_int_1(A) => k13_borsuk_7(A) = k12_borsuk_7(A) ) )).
fof(redefinition_k13_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k11_cat_5(A,B))) ) => k13_cat_5(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k13_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => k13_cat_6(A) = k3_struct_0(A) ) )).
fof(redefinition_k13_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k13_csspace(A,B,C) = k12_csspace(A,B,C) ) )).
fof(redefinition_k13_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_finseq_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_finseq_2(A,B)))) & v7_ordinal1(D) ) => k13_descip_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k13_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(I,A) ) => k13_domain_1(A,B,C,D,E,F,G,H,I) = k6_enumset1(B,C,D,E,F,G,H,I) ) )).
fof(redefinition_k13_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(k12_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => k13_dualsp01(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k13_fomodel1,axiom,( ! [A] : ! [B] : ( ( l4_struct_0(A) & m1_subset_1(B,k6_subset_1(u1_struct_0(A),k1_tarski(u3_struct_0(A)))) ) => k13_fomodel1(A,B) = k12_fomodel1(A,B) ) )).
fof(redefinition_k13_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k13_fomodel2(A,B,C,D) = k12_fomodel2(A,B,C,D) ) )).
fof(redefinition_k13_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => k13_fomodel3(A,B,C) = k9_fomodel3(A,B,C) ) )).
fof(redefinition_k13_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => k13_funct_5(A,B,C,D) = k2_funct_5(D) ) )).
fof(redefinition_k13_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => k13_funct_7(A,B,C,D) = k12_funct_7(B,C,D) ) )).
fof(redefinition_k13_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k13_ideal_1(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k13_lang1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k13_lang1(A,B) = k18_finseq_1(B) ) )).
fof(redefinition_k13_lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k13_lattice3(A,B,C) = k10_lattice3(A,B,C) ) )).
fof(redefinition_k13_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m2_lexbfs(B,A) & v7_ordinal1(C) ) => k13_lexbfs(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k13_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => k13_lopclset(A) = k8_lopclset(A) ) )).
fof(redefinition_k13_matrix_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k13_matrix_0(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k13_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k13_matrixj1(A,B,C) = k12_matrixj1(A,B,C) ) )).
fof(redefinition_k13_ordinal6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_ordinal1(B) ) => k13_ordinal6(A,B) = k12_ordinal6(A,B) ) )).
fof(redefinition_k13_osalg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => k13_osalg_2(A,B) = k12_osalg_2(A,B) ) )).
fof(redefinition_k13_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(D) & v1_funct_2(D,B,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(C)))) ) => k13_prob_1(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k13_prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) & m1_subset_1(B,k4_finseq_1(A)) ) => k13_prvect_1(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k13_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) & m1_subset_1(C,u4_struct_0(k11_pua2mss1(A,B))) ) => k13_pua2mss1(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k13_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) ) => k13_rvsum_1(A,B) = k39_valued_1(B) ) )).
fof(redefinition_k13_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k12_seq_4(A)) ) => k13_seq_4(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k13_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(D) ) => k13_toprealc(A,B,C,D) = k1_funct_7(B,C,D) ) )).
fof(redefinition_k14_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & m1_subset_1(C,k8_afinsq_1(A)) ) => k14_afinsq_1(A,B,C) = k1_ordinal4(B,C) ) )).
fof(redefinition_k14_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) ) => k14_cat_2(A,B,C,D,E) = k13_funct_3(D,E) ) )).
fof(redefinition_k14_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k11_cat_5(A,B))) ) => k14_cat_5(A,B,C) = k13_mcart_1(C) ) )).
fof(redefinition_k14_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k14_csspace(A,B,C) = k1_normsp_1(A,B,C) ) )).
fof(redefinition_k14_descip_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,64,16) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(64,16))) ) => k14_descip_1(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k14_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) ) => k14_domain_1(A,B,C,D) = k13_mcart_1(D) ) )).
fof(redefinition_k14_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k14_funct_3(A,B,C,D,E) = k13_funct_3(D,E) ) )).
fof(redefinition_k14_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(E,B) ) => k14_funct_7(A,B,C,D,E) = k1_funct_7(C,D,E) ) )).
fof(redefinition_k14_grcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & m1_grcat_1(D,B,C) & m1_grcat_1(E,A,B) ) => k14_grcat_1(A,B,C,D,E) = k13_grcat_1(D,E) ) )).
fof(redefinition_k14_lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m2_lexbfs(B,A) ) => k14_lexbfs(A,B) = k40_glib_000(B) ) )).
fof(redefinition_k14_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k14_margrel1(A,B) = k12_margrel1(B) ) )).
fof(redefinition_k14_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(B,A)) ) => k14_matrix_0(A,B,C) = k5_finseq_1(C) ) )).
fof(redefinition_k14_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => k14_matrixj1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k14_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => k14_mesfunc1(A,B,C) = k10_mesfunc1(B,C) ) )).
fof(redefinition_k14_monoid_1,axiom,( ! [A] : ! [B] : k14_monoid_1(A,B) = k4_funct_3(A,B) )).
fof(redefinition_k14_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k14_rvsum_1(A,B) = k18_valued_1(A,B) ) )).
fof(redefinition_k14_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => k14_sublemma(A,B,C,D) = k1_funct_4(C,D) ) )).
fof(redefinition_k14_trees_3,axiom,( ! [A] : ( v7_ordinal1(A) => k14_trees_3(A) = k5_finseq_1(A) ) )).
fof(redefinition_k14_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => k14_valued_1(A,B,C,D) = k13_valued_1(C,D) ) )).
fof(redefinition_k15_abcmiz_a,axiom,( ! [A] : ( m1_subset_1(A,k5_abcmiz_a) => k15_abcmiz_a(A) = k14_abcmiz_a(A) ) )).
fof(redefinition_k15_afinsq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k8_afinsq_1(A)) & m1_subset_1(C,k8_afinsq_1(A)) ) => k15_afinsq_1(A,B,C) = k1_ordinal4(B,C) ) )).
fof(redefinition_k15_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => k15_aofa_i00(A,B,C) = k45_valued_1(B,C) ) )).
fof(redefinition_k15_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) ) => k15_borsuk_1(A,B,C) = k13_borsuk_1(A,B,C) ) )).
fof(redefinition_k15_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_eqrel_1(C,A) ) => k15_bvfunc_1(A,B,C) = k11_eqrel_1(A,B,C) ) )).
fof(redefinition_k15_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) & m2_cat_1(E,A,C) & m2_cat_1(F,B,D) ) => k15_cat_2(A,B,C,D,E,F) = k15_funct_3(E,F) ) )).
fof(redefinition_k15_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k11_cat_5(A,B))) ) => k15_cat_5(A,B,C) = k14_mcart_1(C) ) )).
fof(redefinition_k15_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & m1_subset_1(C,u1_struct_0(k14_clopban1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k15_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k15_descip_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,k5_card_1(A)) ) => k15_descip_1(A,B) = k1_ordinal1(B) ) )).
fof(redefinition_k15_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) ) => k15_domain_1(A,B,C,D) = k14_mcart_1(D) ) )).
fof(redefinition_k15_fomodel1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fomodel1(A) ) => k15_fomodel1(A) = k1_fomodel1(A) ) )).
fof(redefinition_k15_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) ) => k15_fomodel2(A,B) = k14_fomodel2(A,B) ) )).
fof(redefinition_k15_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k15_funcop_1(A,B,C,D) = k14_funcop_1(A,B,C,D) )).
fof(redefinition_k15_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => k15_gaussint(A) = k8_complex1(A) ) )).
fof(redefinition_k15_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => k15_glib_000(A) = k14_glib_000(A) ) )).
fof(redefinition_k15_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m3_glib_004(B,A) & v7_ordinal1(C) ) => k15_glib_004(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k15_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k15_ideal_1(A,B,C) = k14_ideal_1(A,B,C) ) )).
fof(redefinition_k15_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => k15_lattice5(A,B,C,D) = k14_lattice5(A,B,C,D) ) )).
fof(redefinition_k15_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k15_margrel1(A,B,C) = k13_margrel1(B,C) ) )).
fof(redefinition_k15_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => k15_matrix_0(A,B,C,D,E) = k12_matrix_0(B,C,D,E) ) )).
fof(redefinition_k15_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) & v2_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k15_matrixj1(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k15_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => k15_mesfunc1(A,B,C) = k11_mesfunc1(B,C) ) )).
fof(redefinition_k15_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k15_mmlquery(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k15_monoid_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => k15_monoid_1(A,B) = k2_funcop_1(A,B) ) )).
fof(redefinition_k15_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) & m1_subset_1(C,A) ) => k15_pcs_0(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k15_pre_poly,axiom,( ! [A] : k15_pre_poly(A) = k14_pre_poly(A) )).
fof(redefinition_k15_prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) & m1_subset_1(B,k4_finseq_1(k14_prvect_1(A))) ) => k15_prvect_1(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k15_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => k15_rvsum_1(A,B,C) = k18_valued_1(B,C) ) )).
fof(redefinition_k15_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => k15_seq_4(A) = k14_seq_4(A) ) )).
fof(redefinition_k15_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => k15_sin_cos(A) = k14_sin_cos(A) ) )).
fof(redefinition_k15_supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => k15_supinf_2(A) = k10_xtuple_0(A) ) )).
fof(redefinition_k15_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => k15_valued_1(A,B,C,D) = k13_valued_1(C,D) ) )).
fof(redefinition_k16_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,A,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) ) => k16_aofa_i00(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k16_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) ) => k16_borsuk_1(A,B,C) = k11_borsuk_1(B,C) ) )).
fof(redefinition_k16_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k12_cat_5(A,B))) ) => k16_cat_5(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k16_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) ) => k16_domain_1(A,B,C,D) = k15_mcart_1(D) ) )).
fof(redefinition_k16_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k16_euclid(A) = k4_euclid(A) ) )).
fof(redefinition_k16_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k16_fomodel1(A) = k2_fomodel1(A) ) )).
fof(redefinition_k16_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & v1_fomodel3(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k16_fomodel3(A,B,C,D,E) = k11_fomodel3(A,B,C,D,E) ) )).
fof(redefinition_k16_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,A) & m1_subset_1(E,A) ) => k16_funcop_1(A,B,C,D,E) = k14_funcop_1(B,C,D,E) ) )).
fof(redefinition_k16_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k16_funct_3(A,B,C,D,E,F) = k15_funct_3(E,F) ) )).
fof(redefinition_k16_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_partfun1(k3_finseq_2(A),A)) ) => k16_margrel1(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k16_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,A,B,B) & m1_finseq_1(C,k3_finseq_2(A)) ) => k16_matrixj1(A,B,C) = k5_finseq_1(C) ) )).
fof(redefinition_k16_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => k16_mesfunc1(A,B,C) = k12_mesfunc1(B,C) ) )).
fof(redefinition_k16_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k16_mmlquery(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k16_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => k16_openlatt(A) = k8_openlatt(A) ) )).
fof(redefinition_k16_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k16_pralg_1(A,B,C) = k15_pralg_1(B,C) ) )).
fof(redefinition_k16_pre_poly,axiom,( ! [A] : k16_pre_poly(A) = k1_pboole(A) )).
fof(redefinition_k16_quatern2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_quatern2)) => k16_quatern2(A) = k25_quaterni(A) ) )).
fof(redefinition_k16_seq_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) ) => k16_seq_4(A,B) = k30_valued_1(B) ) )).
fof(redefinition_k16_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k16_valued_2(A,B,C) = k15_valued_2(C) ) )).
fof(redefinition_k17_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k12_cat_5(A,B))) ) => k17_cat_5(A,B,C) = k13_mcart_1(C) ) )).
fof(redefinition_k17_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k16_coh_sp(A)) => k17_coh_sp(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k17_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) ) => k17_domain_1(A,B,C,D) = k16_mcart_1(D) ) )).
fof(redefinition_k17_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_finseq_1(C,A) ) => k17_finseq_1(A,B,C) = k16_finseq_1(B,C) ) )).
fof(redefinition_k17_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & l1_fomodel1(A) ) => k17_fomodel1(A) = k10_fomodel1(A) ) )).
fof(redefinition_k17_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m1_finseq_1(A,k4_ordinal1) & v1_freealg(B) ) => k17_freealg(A,B) = k16_freealg(A,B) ) )).
fof(redefinition_k17_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(A)) ) => k17_funct_3(A,B,C,D) = k5_relat_1(C,D) ) )).
fof(redefinition_k17_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => k17_glib_000(A) = k16_glib_000(A) ) )).
fof(redefinition_k17_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_finsub_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => k17_lexbfs(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k17_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k17_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k17_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => k17_matrix_0(A,B,C) = k2_finseq_3(B,C) ) )).
fof(redefinition_k17_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,A,B,B) & m1_finseq_1(D,k3_finseq_2(A)) & v1_matrix_0(E) & v2_matrix_0(E,A,C,C) & m1_finseq_1(E,k3_finseq_2(A)) ) => k17_matrixj1(A,B,C,D,E) = k10_finseq_1(D,E) ) )).
fof(redefinition_k17_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => k17_mesfunc1(A,B,C) = k13_mesfunc1(B,C) ) )).
fof(redefinition_k17_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k17_mmlquery(A,B,C) = k4_xboole_0(B,C) ) )).
fof(redefinition_k17_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k17_rvsum_1(A) = k16_rvsum_1(A) ) )).
fof(redefinition_k17_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k12_seq_4(A)) ) => k17_seq_4(A,B,C) = k45_valued_1(B,C) ) )).
fof(redefinition_k17_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & ~ v3_xxreal_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_toprealb(k2_xcmplx_0(A,1),k4_struct_0(k15_euclid(k2_xcmplx_0(A,1))),B)))) ) => k17_toprealc(A,B,C) = k2_toprealc(C) ) )).
fof(redefinition_k17_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k17_valued_2(A,B,C) = k15_valued_2(C) ) )).
fof(redefinition_k18_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k9_funct_2(k9_funct_2(A,B),C)) & v1_funct_1(F) & v1_funct_2(F,A,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,D))) ) => k18_aofa_i00(A,B,C,D,E,F) = k17_aofa_i00(D,E,F) ) )).
fof(redefinition_k18_cat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(k12_cat_5(A,B))) ) => k18_cat_5(A,B,C) = k14_mcart_1(C) ) )).
fof(redefinition_k18_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k16_coh_sp(A)) => k18_coh_sp(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k18_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(k17_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => k18_dualsp01(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k18_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => k18_fomodel0(A,B,C,D) = k17_fomodel0(B,C,D) ) )).
fof(redefinition_k18_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k18_fomodel1(A) = k7_fomodel1(A) ) )).
fof(redefinition_k18_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : k18_funcop_1(A,B,C) = k13_funcop_1(A,B,C) )).
fof(redefinition_k18_margrel1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_margrel1(A) ) => k18_margrel1(A) = k17_margrel1(A) ) )).
fof(redefinition_k18_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v2_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k18_matrixj1(A,B,C) = k16_finseq_1(B,C) ) )).
fof(redefinition_k18_mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xxreal_0(C) ) => k18_mesfunc1(A,B,C) = k10_relat_1(B,C) ) )).
fof(redefinition_k18_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) ) => k18_openlatt(A) = k8_openlatt(A) ) )).
fof(redefinition_k18_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => k18_rvsum_1(A) = k16_rvsum_1(A) ) )).
fof(redefinition_k18_scmfsa_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) ) => k18_scmfsa_2(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k18_seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) & m1_subset_1(C,k2_numbers) ) => k18_seq_4(A,B,C) = k24_valued_1(B,C) ) )).
fof(redefinition_k18_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => k18_substut1(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k19_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k19_bvfunc_1(A,B) = k8_xboolean(A,B) ) )).
fof(redefinition_k19_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k17_dualsp01(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k17_dualsp01(A))))) & v7_ordinal1(C) ) => k19_dualsp01(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k19_euclid,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => k19_euclid(A,B) = k10_finseq_1(A,B) ) )).
fof(redefinition_k19_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) & v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v1_finseq_1(D) ) => k19_fomodel0(A,B,C,D) = k17_fomodel0(B,C,D) ) )).
fof(redefinition_k19_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k19_fomodel3(A,B,C) = k18_fomodel3(A,B,C) ) )).
fof(redefinition_k19_funcop_1,axiom,( ! [A] : ! [B] : k19_funcop_1(A,B) = k17_funcop_1(A,B) )).
fof(redefinition_k19_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) & m1_subset_1(B,k18_grcat_1(A)) ) => k19_grcat_1(A,B) = k7_grcat_1(B) ) )).
fof(redefinition_k19_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k19_mmlquery(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k19_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & v2_pre_poly(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => k19_pre_poly(A,B) = k13_pre_poly(B) ) )).
fof(redefinition_k19_seq_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k12_seq_4(A)) ) => k19_seq_4(A,B) = k54_valued_1(B) ) )).
fof(redefinition_k19_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => k19_substut1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k19_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k19_valued_1(A,B,C,D,E) = k18_valued_1(D,E) ) )).
fof(redefinition_k1_abian,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => k1_abian(A,B,C) = k8_funct_7(B,C) ) )).
fof(redefinition_k1_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,C,k4_finseq_2(A,k4_finseq_2(B,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k4_finseq_2(A,k4_finseq_2(B,D))))) & m1_subset_1(F,C) ) => k1_aescip_1(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k1_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => k1_afinsq_1(A) = k1_card_1(A) ) )).
fof(redefinition_k1_altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & m1_altcat_5(E,A,B,C,D) & m1_subset_1(F,C) ) => k1_altcat_5(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k1_altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & m1_altcat_6(E,A,B,C,D) & m1_subset_1(F,C) ) => k1_altcat_6(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k1_amistd_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k4_memstr_0(A,B,D)) ) => k1_amistd_4(A,B,C,D,E) = k1_funct_7(C,D,E) ) )).
fof(redefinition_k1_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_finseq_2(C,A) & m1_subset_1(D,B) ) => k1_aofa_000(A,B,C,D) = k2_funcop_1(C,D) ) )).
fof(redefinition_k1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k1_aofa_a00(A,B,C,D) = k1_funct_7(B,C,D) ) )).
fof(redefinition_k1_arrow,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) & m1_subset_1(E,A) ) => k1_arrow(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k1_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_asympt_0(A,B) = k1_valued_1(A,B) ) )).
fof(redefinition_k1_binarith,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k1_binarith(A,B) = k5_xboolean(A,B) ) )).
fof(redefinition_k1_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_connsp_2(E,B,C) ) => k1_borsuk_1(A,B,C,D,E) = k8_relat_1(D,E) ) )).
fof(redefinition_k1_borsuk_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_topmetr)) & v1_xreal_0(B) ) => k1_borsuk_7(A,B) = k2_xcmplx_0(A,B) ) )).
fof(redefinition_k1_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k1_bvfunc_1(A,B) = k12_margrel1(B) ) )).
fof(redefinition_k1_bvfunc_2,axiom,( ! [A] : k1_bvfunc_2(A) = k1_partit1(A) )).
fof(redefinition_k1_card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) ) => k1_card_fil(A,B) = k7_setfam_1(A,B) ) )).
fof(redefinition_k1_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => k1_cat_3(A,B,C) = k17_funcop_1(B,C) ) )).
fof(redefinition_k1_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k1_cat_5(A,B) = k13_mcart_1(B) ) )).
fof(redefinition_k1_catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => k1_catalan2(A,B) = k1_ordinal4(A,B) ) )).
fof(redefinition_k1_chain_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k1_chain_1(A,B) = k1_zfmisc_1(B) ) )).
fof(redefinition_k1_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,D) & v1_funct_1(E) & v1_partfun1(E,D) & v1_relat_1(F) & v2_relat_1(F) & v4_relat_1(F,D) & v1_funct_1(F) & v1_partfun1(F,D) & m2_pboole(G,A,B,C) & m2_pboole(H,D,E,F) ) => k1_circcomb(A,B,C,D,E,F,G,H) = k1_funct_4(G,H) ) )).
fof(redefinition_k1_circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_msafree2(D,A,B) ) => k1_circuit2(A,B,C,D) = k1_funct_4(C,D) ) )).
fof(redefinition_k1_classes2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) ) => k1_classes2(A,B) = k1_tarski(B) ) )).
fof(redefinition_k1_clopban2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(B,A,A) & v1_clopban1(B,A,A) & v2_clopban1(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(C,A,A) & v1_clopban1(C,A,A) & v2_clopban1(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k1_clopban2(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k1_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) & m1_pboole(E,A,B) ) => k1_closure1(A,B,C,D,E) = k15_pralg_1(D,E) ) )).
fof(redefinition_k1_closure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k1_closure3(A,B) = k13_pre_poly(B) ) )).
fof(redefinition_k1_complsp2,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k1_complsp2(A) = k1_comseq_2(A) ) )).
fof(redefinition_k1_compos_0,axiom,( ! [A] : k1_compos_0(A) = k4_xtuple_0(A) )).
fof(redefinition_k1_convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k9_funct_2(u1_struct_0(A),k2_numbers)) ) => k1_convex4(A,B) = k13_pre_poly(B) ) )).
fof(redefinition_k1_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(B,A)) ) => k1_descip_1(A,B,C) = k3_finseq_5(C) ) )).
fof(redefinition_k1_dist_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_finseq_1(B,A) => k1_dist_1(A,B,C) = k10_relat_1(B,C) ) )).
fof(redefinition_k1_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) ) => k1_domain_1(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k1_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_trees_3(B,A) & m1_finseq_1(C,B) ) => k1_dtconstr(A,B,C) = k15_trees_3(C) ) )).
fof(redefinition_k1_dynkin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(A)) ) => k1_dynkin(A,B,C,D) = k12_funct_7(B,C,D) ) )).
fof(redefinition_k1_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => k1_ec_pf_1(A) = k7_struct_0(A) ) )).
fof(redefinition_k1_euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => k1_euclid_7(A,B,C) = k13_funct_3(B,C) ) )).
fof(redefinition_k1_euclid_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => k1_euclid_8(A,B,C) = k11_finseq_1(A,B,C) ) )).
fof(redefinition_k1_euler_2,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => k1_euler_2(A,B) = k24_valued_1(A,B) ) )).
fof(redefinition_k1_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k1_extreal1(A,B) = k4_xxreal_3(A,B) ) )).
fof(redefinition_k1_finance1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => k1_finance1(A,B) = k2_xxreal_1(A,B) ) )).
fof(redefinition_k1_finseq_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,A) ) => k1_finseq_7(A,B,C,D) = k1_funct_7(B,C,D) ) )).
fof(redefinition_k1_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_finseq_1(E,A) & m1_finseq_1(F,B) ) => k1_finseqop(A,B,C,D,E,F) = k3_funcop_1(D,E,F) ) )).
fof(redefinition_k1_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k1_finsub_1(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k1_fintopo5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k1_fintopo5(A,B,C,D) = k9_relat_1(C,D) ) )).
fof(redefinition_k1_flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k3_catalan2(A)) & m1_subset_1(C,k3_catalan2(A)) ) => k1_flang_1(A,B,C) = k1_ordinal4(B,C) ) )).
fof(redefinition_k1_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k1_fomodel2(A) = k8_fomodel1(A) ) )).
fof(redefinition_k1_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k9_funct_2(A,B),k9_funct_2(A,B)),k9_funct_2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,B),k9_funct_2(A,B)),k9_funct_2(A,B)))) & m1_subset_1(D,k9_funct_2(A,B)) & m1_subset_1(E,k9_funct_2(A,B)) ) => k1_funcsdom(A,B,C,D,E) = k1_binop_1(C,D,E) ) )).
fof(redefinition_k1_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => k1_functor0(A,B,C,D) = k2_funct_4(D) ) )).
fof(redefinition_k1_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => k1_functor3(A,B,C,D,E) = k13_functor0(A,B,C,D,E) ) )).
fof(redefinition_k1_fuzzy_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),k1_numbers))) ) => k1_fuzzy_4(A,B,C) = k2_funct_4(C) ) )).
fof(redefinition_k1_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_subset_1(C,k1_zfmisc_1(B)) ) => k1_glib_003(A,B,C) = k15_finseq_1(C) ) )).
fof(redefinition_k1_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m1_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k1_goboard9(A) = k3_finseq_5(A) ) )).
fof(redefinition_k1_gr_cy_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_numbers) => k1_gr_cy_1(A) = k16_rvsum_1(A) ) )).
fof(redefinition_k1_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => k1_graph_3(A,B) = k5_graph_2(A,B) ) )).
fof(redefinition_k1_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(A,k1_numbers) & v1_xreal_0(C) ) => k1_graphsp(A,B,C) = k1_funct_7(A,B,C) ) )).
fof(redefinition_k1_grnilp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) ) => k1_grnilp_1(A,B,C) = k8_group_5(A,B,C) ) )).
fof(redefinition_k1_groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k1_groeb_1(A,B,C) = k1_tarski(C) ) )).
fof(redefinition_k1_groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k1_groeb_3(A,B,C,D) = k2_tarski(C,D) ) )).
fof(redefinition_k1_group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) & m1_subset_1(D,u1_struct_0(A)) ) => k1_group_10(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_group_14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k1_group_14(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k1_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k1_group_19(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k1_group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => k1_group_4(A,B,C) = k1_finseq_3(B,C) ) )).
fof(redefinition_k1_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & m1_subset_1(C,A) ) => k1_group_7(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_hermitan,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => k1_hermitan(A,B) = k1_comseq_2(B) ) )).
fof(redefinition_k1_index_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k1_index_1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k1_int_2,axiom,( ! [A] : ( v1_int_1(A) => k1_int_2(A) = k9_complex1(A) ) )).
fof(redefinition_k1_integr16,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k1_integr16(A) = k3_comseq_3(A) ) )).
fof(redefinition_k1_integra2,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => k1_integra2(A,B) = k23_member_1(A,B) ) )).
fof(redefinition_k1_integra5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => k1_integra5(A,B) = k5_relat_1(A,B) ) )).
fof(redefinition_k1_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => k1_isocat_2(A,B,C,D) = k2_funct_5(D) ) )).
fof(redefinition_k1_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,B))) ) => k1_jordan(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k1_jordan2b,axiom,( ! [A] : ( v1_xreal_0(A) => k1_jordan2b(A) = k5_finseq_1(A) ) )).
fof(redefinition_k1_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k1_kurato_0(A,B) = k3_card_3(B) ) )).
fof(redefinition_k1_laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_ordinal1),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => k1_laplace(A,B,C,D) = k1_binop_1(B,C,D) ) )).
fof(redefinition_k1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_lfuzzy_1(A,B,C) = k1_fuzzy_1(A,B,C) ) )).
fof(redefinition_k1_lmod_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k1_lmod_7(A,B) = k3_vectsp_5(A,B) ) )).
fof(redefinition_k1_lopban_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(B,A,A) & v1_lopban_1(B,A,A) & v2_lopban_1(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v13_vectsp_1(C,A,A) & v1_lopban_1(C,A,A) & v2_lopban_1(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k1_lopban_2(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k1_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k1_lopban_7(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k1_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k1_lpspacc1(A,B,C,D) = k1_valued_1(C,D) ) )).
fof(redefinition_k1_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v1_matrix_0(E) & v2_matrix_0(E,A,B,C) & m1_finseq_1(E,k3_finseq_2(A)) & v1_matrix_0(F) & v2_matrix_0(F,A,B,D) & m1_finseq_1(F,k3_finseq_2(A)) ) => k1_matrix15(A,B,C,D,E,F) = k8_pre_poly(E,F) ) )).
fof(redefinition_k1_matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => k1_matrix_7(A,B,C,D) = k6_matrix_3(B,C,D) ) )).
fof(redefinition_k1_matrixr2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => k1_matrixr2(A,B,C) = k6_matrixr1(B,C) ) )).
fof(redefinition_k1_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => k1_matrlin(A,B,C) = k2_finseq_3(B,C) ) )).
fof(redefinition_k1_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_finseq_1(E,u1_struct_0(B)) & m1_matrlin(F,A,C) ) => k1_matrlin2(A,B,C,D,E,F) = k10_matrlin(A,B,C,D,E,F) ) )).
fof(redefinition_k1_matrprob,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => k1_matrprob(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k3_zfmisc_1(A,B,C)) ) => k1_mcart_1(A,B,C,D) = k4_xtuple_0(D) ) )).
fof(redefinition_k1_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k1_measure1(A,B,C,D) = k2_xboole_0(C,D) ) )).
fof(redefinition_k1_measure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_measure2(C,A,B) ) => k1_measure2(A,B,C) = k1_setfam_1(C) ) )).
fof(redefinition_k1_measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => k1_measure3(A,B,C) = k10_xtuple_0(C) ) )).
fof(redefinition_k1_measure5,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k1_measure5(A,B) = k4_xxreal_1(A,B) ) )).
fof(redefinition_k1_measure6,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => k1_measure6(A,B) = k17_member_1(A,B) ) )).
fof(redefinition_k1_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_measure8(C,A,B) & v7_ordinal1(D) ) => k1_measure8(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_member_1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => k1_member_1(A) = k2_xxreal_3(A) ) )).
fof(redefinition_k1_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(B,A)) & v7_ordinal1(D) & m1_subset_1(E,A) ) => k1_midsp_3(A,B,C,D,E) = k1_funct_7(C,D,E) ) )).
fof(redefinition_k1_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => k1_mmlquery(A,B,C) = k9_relat_1(B,C) ) )).
fof(redefinition_k1_mod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => k1_mod_4(A,B,C,D) = k2_funct_4(D) ) )).
fof(redefinition_k1_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) ) => k1_modelc_3(A) = k13_modelc_2(A) ) )).
fof(redefinition_k1_monoid_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => k1_monoid_0(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k1_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) ) => k1_msafree4(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k1_mssubfam(A,B) = k1_mboolean(A,B) ) )).
fof(redefinition_k1_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) & m1_subset_1(E,A) ) => k1_msualg_3(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k1_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m1_msualg_4(D,A,B,C) & m1_subset_1(E,A) ) => k1_msualg_4(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k1_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,B,B) & m2_pboole(D,A,B,B) ) => k1_msualg_6(A,B,C,D) = k8_pboole(C,D) ) )).
fof(redefinition_k1_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & m1_subset_1(C,k4_ordinal1) ) => k1_nagata_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) ) => k1_nat_1(A,B) = k2_xcmplx_0(A,B) ) )).
fof(redefinition_k1_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k1_nat_5(A,B,C) = k5_relat_1(B,C) ) )).
fof(redefinition_k1_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k1_nat_d(A,B) = k4_int_1(A,B) ) )).
fof(redefinition_k1_ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_prvect_2(A) & m1_subset_1(B,k4_card_3(k4_prvect_2(A))) & m1_subset_1(C,k4_finseq_1(A)) ) => k1_ndiff_5(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_normsp_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => k1_normsp_0(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_oppcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => k1_oppcat_1(A,B,C,D) = k2_funct_4(D) ) )).
fof(redefinition_k1_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k1_partfun1(A,B,C,D,E,F) = k3_relat_1(E,F) ) )).
fof(redefinition_k1_partfun2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => k1_partfun2(A,B) = k4_relat_1(B) ) )).
fof(redefinition_k1_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k1_pcs_0(A,B,C) = k1_relat_1(C) ) )).
fof(redefinition_k1_pencil_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & m1_subset_1(C,A) ) => k1_pencil_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_pepin,axiom,( ! [A] : ( v1_int_1(A) => k1_pepin(A) = k1_square_1(A) ) )).
fof(redefinition_k1_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_petri_3(B,A) & m1_subset_1(C,A) ) => k1_petri_3(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_polyform,axiom,( ! [A] : ( v1_int_1(A) => k1_polyform(A) = k5_finseq_1(A) ) )).
fof(redefinition_k1_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_finseq_1(C,A) ) => k1_polynom3(A,B,C) = k2_finseq_3(B,C) ) )).
fof(redefinition_k1_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k3_yellow_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => k1_poset_2(A,B,C) = k9_xtuple_0(C) ) )).
fof(redefinition_k1_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) ) => k1_pralg_1(A,B,C) = k11_mcart_1(C) ) )).
fof(redefinition_k1_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k3_finseq_2(A)) & m1_subset_1(C,k3_finseq_2(A)) ) => k1_pre_poly(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k1_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k1_prob_1(A,B) = k3_card_3(B) ) )).
fof(redefinition_k1_prob_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v7_ordinal1(D) ) => k1_prob_2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(D,k4_ordinal1) ) => k1_prob_4(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,k4_finseq_2(B,A)) & m1_subset_1(E,k4_finseq_2(B,A)) ) => k1_prvect_1(A,B,C,D,E) = k3_funcop_1(C,D,E) ) )).
fof(redefinition_k1_prvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m1_prvect_2(C,A,B) & m1_subset_1(D,k4_finseq_1(A)) ) => k1_prvect_2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_pua2mss1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k4_partfun1(k3_finseq_2(A),A)) ) => k1_pua2mss1(A,B) = k10_xtuple_0(B) ) )).
fof(redefinition_k1_quatern2,axiom,( k1_quatern2 = k16_quaterni )).
fof(redefinition_k1_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_random_1(A) = k1_zfmisc_1(A) ) )).
fof(redefinition_k1_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => k1_rcomp_1(A,B) = k1_xxreal_1(A,B) ) )).
fof(redefinition_k1_real_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k1_real_1(A) = k4_xcmplx_0(A) ) )).
fof(redefinition_k1_recdef_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v4_valued_0(A) ) => k1_recdef_1(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k1_relset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => k1_relset_1(A,B) = k9_xtuple_0(B) ) )).
fof(redefinition_k1_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k1_relset_2(A,B,C,D) = k9_relat_1(C,D) ) )).
fof(redefinition_k1_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,A) & m1_subset_1(C,k4_finseq_1(B)) ) => k1_ring_2(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) ) => k1_roughs_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k1_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v3_valued_0(A) ) => k1_rvsum_1(A) = k10_xtuple_0(A) ) )).
fof(redefinition_k1_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_valued_0(A) ) => k1_rvsum_2(A) = k10_xtuple_0(A) ) )).
fof(redefinition_k1_scm_inst,axiom,( k1_scm_inst = k5_ordinal1 )).
fof(redefinition_k1_scmfsa_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_int_1(B) ) => k1_scmfsa_3(A,B) = k17_funcop_1(A,B) ) )).
fof(redefinition_k1_scmpds_3,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_int_1(B) ) => k1_scmpds_3(A,B) = k17_funcop_1(A,B) ) )).
fof(redefinition_k1_scmpds_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k1_scmpds_4(A,B) = k1_ordinal4(A,B) ) )).
fof(redefinition_k1_scmpds_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) ) => k1_scmpds_9(A,B,C,D) = k4_funct_4(A,B,C,D) ) )).
fof(redefinition_k1_seq_4,axiom,( ! [A] : ( v1_xreal_0(A) => k1_seq_4(A) = k1_tarski(A) ) )).
fof(redefinition_k1_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) & v7_ordinal1(D) ) => k1_seqfunc(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_series_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_membered(A) & v7_membered(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => k1_series_1(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k1_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => k1_stacks_1(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k1_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(C) & v1_funct_2(C,k5_card_1(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(A),B))) ) => k1_stirl2_1(A,B,C,D) = k8_relat_1(C,D) ) )).
fof(redefinition_k1_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_valuat_1(A,B)) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => k1_sublemma(A,B,C,D) = k1_funct_4(C,D) ) )).
fof(redefinition_k1_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k1_substut1(A)) ) => k1_substut2(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k1_supinf_1,axiom,( k1_supinf_1 = k1_xxreal_0 )).
fof(redefinition_k1_supinf_2,axiom,( k1_supinf_2 = k5_ordinal1 )).
fof(redefinition_k1_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(C,k4_finseq_2(A,k9_funct_2(B,u1_struct_0(k3_topmetr)))) ) => k1_tietze_2(A,B,C) = k5_funct_6(C) ) )).
fof(redefinition_k1_toler_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => k1_toler_1(A,B) = k2_wellord1(A,B) ) )).
fof(redefinition_k1_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_borsuk_2(E,A,C,D) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k1_topalg_3(A,B,C,D,E,F) = k3_relat_1(E,F) ) )).
fof(redefinition_k1_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),C))) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(B)) ) => k1_topalg_7(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) )).
fof(redefinition_k1_topgen_3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(B)))) => k1_topgen_3(A,B,C) = k10_xtuple_0(C) ) )).
fof(redefinition_k1_transgeo,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k1_transgeo(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k1_twoscomp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & l1_msualg_1(A) & v4_msafree2(B,A) & v6_circcomb(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k1_twoscomp(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k1_unialg_3(A) = k9_unialg_2(A) ) )).
fof(redefinition_k1_valued_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => k1_valued_0(A,B,C) = k6_nat_1(B,C) ) )).
fof(redefinition_k1_waybel10,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => k1_waybel10(A,B) = k7_lattice3(B) ) )).
fof(redefinition_k1_waybel20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_orders_2(A) & l1_orders_2(B) & l1_orders_2(C) & l1_orders_2(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => k1_waybel20(A,B,C,D,E,F) = k15_funct_3(E,F) ) )).
fof(redefinition_k1_waybel23,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))))) ) => k1_waybel23(A,B) = k3_tarski(B) ) )).
fof(redefinition_k1_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B))) & m1_subset_1(D,A) ) => k1_waybel27(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k1_waybel_1(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k1_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,C,k7_funcop_1(A,B)) & m1_subset_1(E,A) ) => k1_waybel_5(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k1_waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & m1_subset_1(E,B) ) => k1_waybel_6(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k1_wsierp_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => k1_wsierp_1(A) = k16_rvsum_1(A) ) )).
fof(redefinition_k1_xfamily,axiom,( ! [A] : k1_xfamily(A) = k1_xtuple_0(A) )).
fof(redefinition_k1_yellow12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => k1_yellow12(A,B,C,D) = k1_binop_1(B,C,D) ) )).
fof(redefinition_k1_yellow14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B))) & m1_subset_1(D,A) ) => k1_yellow14(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k1_yellow16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(A,B)))) ) => k1_yellow16(A,B,C,D) = k5_card_3(C,D) ) )).
fof(redefinition_k1_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k1_zf_fund1(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k20_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k20_bvfunc_1(A,B) = k9_xboolean(A,B) ) )).
fof(redefinition_k20_glib_001,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => k20_glib_001(A,B,C,D) = k9_glib_001(A,B,C,D) ) )).
fof(redefinition_k20_grcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) & m1_subset_1(B,k18_grcat_1(A)) ) => k20_grcat_1(A,B) = k8_grcat_1(B) ) )).
fof(redefinition_k20_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v2_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k20_matrixj1(A,B,C) = k12_matrixj1(A,B,C) ) )).
fof(redefinition_k20_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k20_mmlquery(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k20_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k20_rvsum_1(A) = k19_rvsum_1(A) ) )).
fof(redefinition_k20_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k20_valued_1(A,B,C,D,E) = k18_valued_1(D,E) ) )).
fof(redefinition_k21_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) => k21_abcmiz_1(A) = k1_xtuple_0(A) ) )).
fof(redefinition_k21_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k9_funct_2(A,B)) & m1_subset_1(D,A) ) => k21_aofa_i00(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k21_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k21_bvfunc_1(A,B) = k7_xboolean(A,B) ) )).
fof(redefinition_k21_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k21_euclid(A) = k20_euclid(A) ) )).
fof(redefinition_k21_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) & v1_partfun1(D,B) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v2_fomodel3(E,A,B,C,D) & m1_fomodel2(E,A,B,C) ) => k21_fomodel3(A,B,C,D,E) = k20_fomodel3(A,B,C,D,E) ) )).
fof(redefinition_k21_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k21_mmlquery(A,B,C) = k4_xboole_0(B,C) ) )).
fof(redefinition_k21_monoid_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => k21_monoid_1(A) = k20_monoid_1(A) ) )).
fof(redefinition_k21_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => k21_quaterni(A,B) = k6_quaterni(A,B) ) )).
fof(redefinition_k21_rvsum_1,axiom,( ! [A] : ( m1_finseq_1(A,k1_numbers) => k21_rvsum_1(A) = k19_rvsum_1(A) ) )).
fof(redefinition_k22_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k4_abcmiz_1,k4_ordinal1)) => k22_abcmiz_1(A) = k2_xtuple_0(A) ) )).
fof(redefinition_k22_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v2_matrixj1(B,u1_struct_0(A)) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => k22_matrixj1(A,B) = k21_matrixj1(A,B) ) )).
fof(redefinition_k22_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k22_mmlquery(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k22_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => k22_pre_poly(A,B) = k13_pre_poly(B) ) )).
fof(redefinition_k22_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => k22_quaterni(A,B) = k9_quaterni(A,B) ) )).
fof(redefinition_k22_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => k22_substut1(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k22_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v5_membered(B) & v5_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k22_valued_1(A,B,C,D,E) = k18_valued_1(D,E) ) )).
fof(redefinition_k22_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k22_valued_2(A,B,C) = k21_valued_2(C) ) )).
fof(redefinition_k22_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_zmodul02(B,A) & m1_zmodul02(C,A) ) => k22_zmodul02(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k23_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => k23_abcmiz_1(A) = k1_xtuple_0(A) ) )).
fof(redefinition_k23_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_partfun1(C,B) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) & v3_fomodel3(D,A,B,C) ) => k23_fomodel3(A,B,C,D) = k22_fomodel3(A,B,C,D) ) )).
fof(redefinition_k23_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_lexbfs(B,A) & v7_ordinal1(C) ) => k23_lexbfs(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k23_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => k23_pre_poly(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k23_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k23_quaterni(A) = k7_quaterni(A) ) )).
fof(redefinition_k23_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => k23_substut1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k23_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k20_turing_1(A,B)) ) => k23_turing_1(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k24_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k20_abcmiz_1) => k24_abcmiz_1(A) = k2_xtuple_0(A) ) )).
fof(redefinition_k24_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => k24_fomodel1(A,B,C) = k23_fomodel1(A,B,C) ) )).
fof(redefinition_k24_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(C,k1_fomodel1(A)) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k24_fomodel3(A,B,C,D) = k17_fomodel0(B,C,D) ) )).
fof(redefinition_k24_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_glib_000(B,A) ) => k24_glib_000(A,B) = k6_glib_000(B) ) )).
fof(redefinition_k24_quaterni,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => k24_quaterni(A,B) = k8_quaterni(A,B) ) )).
fof(redefinition_k24_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k20_turing_1(A,B)) ) => k24_turing_1(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k25_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k25_cat_4(A,B,C) = k21_cat_4(A,B,C) ) )).
fof(redefinition_k25_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k25_fomodel3(A,B,C) = k13_fomodel0(B,C) ) )).
fof(redefinition_k25_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_glib_000(B,A) ) => k25_glib_000(A,B) = k7_glib_000(B) ) )).
fof(redefinition_k25_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_finseq_1(B)) ) => k25_msafree5(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k25_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => k25_substut1(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k25_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => k25_valued_1(A,B,C,D) = k24_valued_1(C,D) ) )).
fof(redefinition_k26_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k26_cat_4(A,B,C) = k22_cat_4(A,B,C) ) )).
fof(redefinition_k26_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k26_fomodel1(A) = k11_fomodel1(A) ) )).
fof(redefinition_k26_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(B)) & m1_subset_1(E,k4_finseq_1(C)) ) => k26_msafree5(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k26_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => k26_quaterni(A) = k25_quaterni(A) ) )).
fof(redefinition_k26_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => k26_valued_1(A,B,C,D) = k24_valued_1(C,D) ) )).
fof(redefinition_k26_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k26_valued_2(A,B,C) = k25_valued_2(C) ) )).
fof(redefinition_k27_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k27_cat_4(A,B,C) = k21_cat_4(A,B,C) ) )).
fof(redefinition_k27_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & m1_subset_1(C,k35_fomodel1(A)) & v15_fomodel1(D,A) & m1_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k27_fomodel3(A,B,C,D) = k26_fomodel3(A,B,C,D) ) )).
fof(redefinition_k27_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v18_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(E,k4_finseq_1(C)) ) => k27_msafree5(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k28_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v6_cat_4(A) & l2_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k28_cat_4(A,B,C) = k22_cat_4(A,B,C) ) )).
fof(redefinition_k28_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k28_fomodel1(A) = k25_fomodel1(A) ) )).
fof(redefinition_k28_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_finseq_1(C,u1_struct_0(A)) & v17_msafree5(D,A,B,C) & m1_finseq_1(D,k3_card_3(B)) & v19_msafree5(E,A,B,C,D) & m1_finseq_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(F,k4_finseq_1(C)) ) => k28_msafree5(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k29_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & v1_int_1(F) ) => k29_aofa_i00(A,B,C,D,E,F) = k7_valued_1(E,F) ) )).
fof(redefinition_k29_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k29_fomodel1(A) = k27_fomodel1(A) ) )).
fof(redefinition_k29_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v7_ordinal1(D) & m1_subset_1(E,k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) & v4_fomodel2(F,A) & m1_subset_1(F,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k29_fomodel3(A,B,C,D,E,F) = k28_fomodel3(A,B,C,D,E,F) ) )).
fof(redefinition_k29_modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v7_ordinal1(C) ) => k29_modelc_1(A,B,C) = k8_funct_7(B,C) ) )).
fof(redefinition_k2_aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k4_finseq_2(A,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k4_finseq_2(A,D)))) & m1_subset_1(F,B) & m1_subset_1(G,C) ) => k2_aescip_1(A,B,C,D,E,F,G) = k1_binop_1(E,F,G) ) )).
fof(redefinition_k2_aff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k2_aff_1(A,B,C) = k1_aff_1(A,B,C) ) )).
fof(redefinition_k2_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => k2_afinsq_1(A) = k9_xtuple_0(A) ) )).
fof(redefinition_k2_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k8_afinsq_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),A))) & v1_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => k2_algstr_4(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_ami_2,axiom,( k2_ami_2 = k2_scm_inst )).
fof(redefinition_k2_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v2_xxreal_0(B) & v1_xreal_0(B) ) => k2_asympt_0(A,B) = k24_valued_1(A,B) ) )).
fof(redefinition_k2_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k2_bhsp_1(A,B,C) = k1_bhsp_1(A,B,C) ) )).
fof(redefinition_k2_binarith,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k2_binarith(A,B) = k10_xboolean(A,B) ) )).
fof(redefinition_k2_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_subset_1(E,A) & m1_subset_1(F,B) ) => k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) )).
fof(redefinition_k2_borsuk_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k3_topmetr)) & v1_xreal_0(B) ) => k2_borsuk_7(A,B) = k6_xcmplx_0(A,B) ) )).
fof(redefinition_k2_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k2_bvfunc_1(A,B,C) = k13_margrel1(B,C) ) )).
fof(redefinition_k2_calcul_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k2_calcul_2(A,B) = k1_calcul_2(A,B) ) )).
fof(redefinition_k2_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k2_cat_5(A,B) = k14_mcart_1(B) ) )).
fof(redefinition_k2_cat_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) & m1_subset_1(C,k6_cat_6(A)) ) => k2_cat_7(A,B,C) = k1_cat_7(A,B,C) ) )).
fof(redefinition_k2_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & m1_subset_1(C,k2_finseq_1(A)) ) => k2_chain_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_classes2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) ) => k2_classes2(A,B) = k1_zfmisc_1(B) ) )).
fof(redefinition_k2_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) & m1_pboole(D,A,k5_mssubfam(A,B)) ) => k2_closure1(A,B,C,D) = k15_pralg_1(C,D) ) )).
fof(redefinition_k2_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k2_closure2(A,B) = k1_closure2(A,B) ) )).
fof(redefinition_k2_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => k2_complfld(A) = k8_complex1(A) ) )).
fof(redefinition_k2_complsp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => k2_complsp2(A,B,C) = k45_valued_1(B,C) ) )).
fof(redefinition_k2_compos_0,axiom,( ! [A] : k2_compos_0(A) = k5_xtuple_0(A) )).
fof(redefinition_k2_comseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k2_comseq_2(A,B) = k1_comseq_2(B) ) )).
fof(redefinition_k2_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v7_ordinal1(B) ) => k2_comseq_3(A,B) = k1_newton(A,B) ) )).
fof(redefinition_k2_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k5_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => k2_cqc_lang(A,B,C) = k17_funcop_1(B,C) ) )).
fof(redefinition_k2_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_finseq_1(C,A) ) => k2_descip_1(A,B,C) = k16_finseq_1(B,C) ) )).
fof(redefinition_k2_diff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => k2_diff_1(A,B) = k1_diff_1(A,B) ) )).
fof(redefinition_k2_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) ) => k2_domain_1(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k2_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( m1_finseq_1(C,k2_zfmisc_1(A,B)) => k2_dtconstr(A,B,C) = k11_mcart_1(C) ) )).
fof(redefinition_k2_ec_pf_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) & m1_subset_1(B,k1_ec_pf_2(A)) ) => k2_ec_pf_2(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k2_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_eqrel_1(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k2_euclid_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => k2_euclid_4(A,B,C) = k1_euclid_4(A,B,C) ) )).
fof(redefinition_k2_extreal1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k2_extreal1(A,B) = k6_xxreal_3(A,B) ) )).
fof(redefinition_k2_fib_num3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k2_fib_num3(A,B) = k4_tarski(A,B) ) )).
fof(redefinition_k2_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => k2_finseq_1(A) = k1_finseq_1(A) ) )).
fof(redefinition_k2_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k2_finseq_4(A,B,C) = k10_finseq_1(B,C) ) )).
fof(redefinition_k2_finseq_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => k2_finseq_7(A,B,C,D) = k9_funct_7(B,C,D) ) )).
fof(redefinition_k2_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => k2_finseq_8(A,B,C,D) = k1_finseq_8(B,C,D) ) )).
fof(redefinition_k2_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_finseq_1(E,A) & m1_subset_1(F,B) ) => k2_finseqop(A,B,C,D,E,F) = k4_funcop_1(D,E,F) ) )).
fof(redefinition_k2_finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & m1_finseq_1(C,A) ) => k2_finsop_1(A,B,C) = k1_funct_4(B,C) ) )).
fof(redefinition_k2_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k2_finsub_1(A,B,C) = k4_xboole_0(B,C) ) )).
fof(redefinition_k2_flang_1,axiom,( ! [A] : k2_flang_1(A) = k4_afinsq_1(A) )).
fof(redefinition_k2_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => k2_fomodel4(A,B,C) = k13_fomodel0(B,C) ) )).
fof(redefinition_k2_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,D),k9_funct_2(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k9_funct_2(A,B)))) & m1_subset_1(F,k2_zfmisc_1(C,D)) ) => k2_funcsdom(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k2_funct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_funct_2(A,B) = k2_funct_1(B) ) )).
fof(redefinition_k2_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k2_funct_3(A,B,C) = k1_funct_3(C) ) )).
fof(redefinition_k2_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,A) ) => k2_funct_7(A,B,C,D) = k1_funct_7(B,C,D) ) )).
fof(redefinition_k2_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v16_functor0(D,A,B) & m2_functor0(D,A,B) & v16_functor0(E,B,C) & m2_functor0(E,B,C) ) => k2_functor3(A,B,C,D,E) = k13_functor0(A,B,C,D,E) ) )).
fof(redefinition_k2_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => k2_graph_2(A,B,C,D) = k1_graph_2(B,C,D) ) )).
fof(redefinition_k2_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => k2_group_19(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) ) => k2_group_6(A,B,C) = k9_group_2(A,B,C) ) )).
fof(redefinition_k2_groupp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => k2_groupp_1(A,B) = k1_groupp_1(A,B) ) )).
fof(redefinition_k2_henmodel,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k6_qc_lang1(A)) & v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,k7_qc_lang1(A,B)) & m1_finseq_1(C,k2_qc_lang1(A)) ) => k2_henmodel(A,B,C) = k10_qc_lang1(A,B,C) ) )).
fof(redefinition_k2_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k7_normform(A)) => k2_heyting1(A,B) = k1_tarski(B) ) )).
fof(redefinition_k2_index_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) & m1_subset_1(C,A) ) => k2_index_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_int_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => k2_int_3(A) = k9_complex1(A) ) )).
fof(redefinition_k2_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => k2_int_8(A) = k1_int_8(A) ) )).
fof(redefinition_k2_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr15(D,A,B,C) & m1_subset_1(E,k4_ordinal1) ) => k2_integr15(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k2_integr16,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k2_integr16(A) = k4_comseq_3(A) ) )).
fof(redefinition_k2_integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) & v7_ordinal1(F) ) => k2_integr18(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k2_integra2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v7_ordinal1(C) ) => k2_integra2(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k2_interva1(A,B,C) = k1_interva1(A,B,C) ) )).
fof(redefinition_k2_jordan,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,B))) ) => k2_jordan(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k2_jordan1h,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k3_finseq_2(A)) ) => k2_jordan1h(A,B) = k9_matrix_0(B) ) )).
fof(redefinition_k2_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_kolmog01(D,A,B,C) & m1_subset_1(E,k1_zfmisc_1(A)) ) => k2_kolmog01(A,B,C,D,E) = k5_relat_1(D,E) ) )).
fof(redefinition_k2_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k2_kurato_0(A,B) = k3_funct_6(B) ) )).
fof(redefinition_k2_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => k2_lattad_1(A) = k1_lattad_1(A) ) )).
fof(redefinition_k2_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k2_lattice3(A) = k8_filter_1(A) ) )).
fof(redefinition_k2_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k2_lfuzzy_0(A,B,C) = k4_xxreal_0(B,C) ) )).
fof(redefinition_k2_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_lfuzzy_1(A,B,C) = k2_fuzzy_1(A,B,C) ) )).
fof(redefinition_k2_lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => k2_lopban_7(A,B,C,D) = k13_funct_3(C,D) ) )).
fof(redefinition_k2_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => k2_lopclset(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k2_lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k3_rfunct_3(A,B),k3_rfunct_3(A,B)),k3_rfunct_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A,B),k3_rfunct_3(A,B)),k3_rfunct_3(A,B)))) & m1_subset_1(D,k3_rfunct_3(A,B)) & m1_subset_1(E,k3_rfunct_3(A,B)) ) => k2_lpspace1(A,B,C,D,E) = k1_binop_1(C,D,E) ) )).
fof(redefinition_k2_matrix10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k2_matrix10(A,B) = k4_matrixr1(B) ) )).
fof(redefinition_k2_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & m1_subset_1(E,u1_struct_0(C)) ) => k2_matrix13(A,B,C,D,E) = k6_matrix_3(C,D,E) ) )).
fof(redefinition_k2_matrix14,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,k4_ordinal1) ) => k2_matrix14(A,B) = k1_matrix14(A,B) ) )).
fof(redefinition_k2_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => k2_matrixj1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => k2_matrixj2(A,B,C) = k1_matrixj2(A,B,C) ) )).
fof(redefinition_k2_matrixr2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k2_matrixr2(A,B) = k1_matrixr1(B) ) )).
fof(redefinition_k2_matrlin,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => k2_matrlin(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k2_matrprob,axiom,( ! [A] : ( v1_xreal_0(A) => k2_matrprob(A) = k5_finseq_1(A) ) )).
fof(redefinition_k2_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k3_zfmisc_1(A,B,C)) ) => k2_mcart_1(A,B,C,D) = k5_xtuple_0(D) ) )).
fof(redefinition_k2_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k2_measure1(A,B,C,D) = k3_xboole_0(C,D) ) )).
fof(redefinition_k2_measure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_measure2(C,A,B) ) => k2_measure2(A,B,C) = k3_tarski(C) ) )).
fof(redefinition_k2_measure4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_measure2(C,A,B) ) => k2_measure4(A,B,C) = k3_tarski(C) ) )).
fof(redefinition_k2_measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_measure7(B,A) & m1_subset_1(C,k4_ordinal1) ) => k2_measure7(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_member_1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => k2_member_1(A) = k5_xxreal_3(A) ) )).
fof(redefinition_k2_metric_1,axiom,( k2_metric_1 = k7_funct_5 )).
fof(redefinition_k2_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & m1_subset_1(C,u1_struct_0(B)) ) => k2_midsp_3(A,B,C) = k5_finseq_1(C) ) )).
fof(redefinition_k2_mmlquer2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_mmlquer2(A,B,C) = k1_mmlquer2(B,C) ) )).
fof(redefinition_k2_mmlquery,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k2_mmlquery(A,B,C) = k7_relat_1(B,C) ) )).
fof(redefinition_k2_morph_01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_morph_01(A,B,C) = k6_rusub_4(A,B,C) ) )).
fof(redefinition_k2_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => k2_msafree4(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k2_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => k2_msaterm(A,B,C) = k6_msafree(A,B,C) ) )).
fof(redefinition_k2_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m3_pboole(C,A,k1_mboolean(A,B)) & m1_subset_1(D,A) ) => k2_mssubfam(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k2_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & v2_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) ) => k2_msualg_4(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k2_msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msualg_6(C,A,B) & m1_msualg_6(D,A,B) ) => k2_msualg_6(A,B,C,D) = k8_pboole(C,D) ) )).
fof(redefinition_k2_multop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,C),D))) & m1_subset_1(F,A) & m1_subset_1(G,B) & m1_subset_1(H,C) ) => k2_multop_1(A,B,C,D,E,F,G,H) = k1_multop_1(E,F,G,H) ) )).
fof(redefinition_k2_nagata_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => k2_nagata_1(A,B) = k3_card_3(B) ) )).
fof(redefinition_k2_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k2_nat_1(A,B) = k3_xcmplx_0(A,B) ) )).
fof(redefinition_k2_nat_3,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k1_numbers) & v7_ordinal1(B) ) => k2_nat_3(A,B) = k1_nat_3(A,B) ) )).
fof(redefinition_k2_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k2_nat_d(A,B) = k5_int_1(A,B) ) )).
fof(redefinition_k2_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => k2_openlatt(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k2_orders_1,axiom,( ! [A] : k2_orders_1(A) = k1_wellord2(A) )).
fof(redefinition_k2_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k2_partfun1(A,B,C,D) = k5_relat_1(C,D) ) )).
fof(redefinition_k2_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k2_partfun2(A,B,C) = k2_funct_1(C) ) )).
fof(redefinition_k2_partfun3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k2_partfun3(A,B,C) = k1_partfun3(C) ) )).
fof(redefinition_k2_partit_2,axiom,( ! [A] : ! [B] : k2_partit_2(A,B) = k2_zfmisc_1(A,B) )).
fof(redefinition_k2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k2_pcs_0(A,B,C,D,E,F) = k2_xboole_0(E,F) ) )).
fof(redefinition_k2_pencil_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & m1_subset_1(C,A) ) => k2_pencil_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_pre_topc(A)) ) => k2_pencil_2(A,B,C) = k7_relat_1(B,C) ) )).
fof(redefinition_k2_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u1_petri(A)) ) => k2_petri(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k2_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => k2_pnproc_1(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k2_polyeq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xcmplx_0(D) ) => k2_polyeq_3(A,B,C,D) = k2_polyeq_1(A,B,C,D) ) )).
fof(redefinition_k2_polyform,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => k2_polyform(A,B) = k10_finseq_1(A,B) ) )).
fof(redefinition_k2_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k2_polynom3(A,B,C) = k10_finseq_1(B,C) ) )).
fof(redefinition_k2_poset_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v6_orders_2(C,k3_yellow_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => k2_poset_2(A,B,C) = k10_xtuple_0(C) ) )).
fof(redefinition_k2_pralg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) ) => k2_pralg_1(A,B,C) = k12_mcart_1(C) ) )).
fof(redefinition_k2_pralg_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => k2_pralg_2(A) = k6_funct_6(A) ) )).
fof(redefinition_k2_pre_poly,axiom,( ! [A] : k2_pre_poly(A) = k6_finseq_1(A) )).
fof(redefinition_k2_quatern2,axiom,( k2_quatern2 = k17_quaterni )).
fof(redefinition_k2_quatern3,axiom,( ! [A] : ( m1_subset_1(A,k1_quaterni) => k2_quatern3(A) = k1_quatern3(A) ) )).
fof(redefinition_k2_quaterni,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(I,A) ) => k2_quaterni(A,B,C,D,E,F,G,H,I) = k10_funct_4(B,C,D,E,F,G,H,I) ) )).
fof(redefinition_k2_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => k2_ranknull(A,B,C,D) = k7_relat_1(C,D) ) )).
fof(redefinition_k2_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => k2_rcomp_1(A,B) = k4_xxreal_1(A,B) ) )).
fof(redefinition_k2_real_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k2_real_1(A) = k5_xcmplx_0(A) ) )).
fof(redefinition_k2_relset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => k2_relset_1(A,B) = k10_xtuple_0(B) ) )).
fof(redefinition_k2_rfinseq,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_finseq_1(C,A) ) => k2_rfinseq(A,B,C) = k1_rfinseq(B,C) ) )).
fof(redefinition_k2_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => k2_robbins3(A) = k8_filter_1(A) ) )).
fof(redefinition_k2_roughs_1,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k1_zfmisc_1(A)) => k2_roughs_1(A,B) = k3_card_3(B) ) )).
fof(redefinition_k2_scm_comp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k7_dtconstr(k1_scm_comp)) & m1_subset_1(B,k4_dtconstr(k1_scm_comp)) & m1_subset_1(C,k4_dtconstr(k1_scm_comp)) ) => k2_scm_comp(A,B,C) = k6_trees_4(A,B,C) ) )).
fof(redefinition_k2_scmfsa_1,axiom,( k2_scmfsa_1 = k2_scm_inst )).
fof(redefinition_k2_scmfsa_2,axiom,( k2_scmfsa_2 = k2_scm_inst )).
fof(redefinition_k2_scmpds_i,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_scm_inst) & v1_int_1(B) ) => k2_scmpds_i(A,B) = k10_finseq_1(A,B) ) )).
fof(redefinition_k2_scmring2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmring2(A))) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(B,u1_struct_0(k1_scmring2(A))) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => k2_scmring2(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k2_setlim_1(A,B) = k1_setlim_1(B) ) )).
fof(redefinition_k2_setwiseo,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k2_setwiseo(A,B) = k1_tarski(B) ) )).
fof(redefinition_k2_setwop_2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_setwop_2(A) = k1_finseq_1(A) ) )).
fof(redefinition_k2_simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k2_simplex0(A,B) = k1_simplex0(B) ) )).
fof(redefinition_k2_square_1,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => k2_square_1(A) = k1_square_1(A) ) )).
fof(redefinition_k2_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(B) & m1_finseq_1(C,A) ) => k2_stacks_1(A,B,C) = k2_finseq_3(B,C) ) )).
fof(redefinition_k2_stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,A,k5_card_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_card_1(B)))) ) => k2_stirl2_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k2_sublemma,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) ) => k2_sublemma(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k2_substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_substlat(A,B)) & m1_subset_1(D,k1_substlat(A,B)) ) => k2_substlat(A,B,C,D) = k2_xboole_0(C,D) ) )).
fof(redefinition_k2_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k1_substut1(A)) ) => k2_substut2(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k2_supinf_1,axiom,( k2_supinf_1 = k2_xxreal_0 )).
fof(redefinition_k2_supinf_2,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => k2_supinf_2(A) = k2_xxreal_3(A) ) )).
fof(redefinition_k2_toler_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k2_toler_1(A,B,C) = k2_wellord1(B,C) ) )).
fof(redefinition_k2_topalg_2,axiom,( k2_topalg_2 = k3_topmetr )).
fof(redefinition_k2_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,C,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k2_topalg_3(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k2_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => k2_topalg_4(A,B,C,D,E) = k13_funct_3(D,E) ) )).
fof(redefinition_k2_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => k2_topalg_5(A) = k1_topalg_5(A) ) )).
fof(redefinition_k2_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k2_topgen_4(A,B,C) = k3_setfam_1(B,C) ) )).
fof(redefinition_k2_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k2_topreal7(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k2_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k2_trees_4(A,B) = k1_trees_4(B) ) )).
fof(redefinition_k2_trees_a,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_subset_1(B,A) ) => k2_trees_a(A,B) = k1_tarski(B) ) )).
fof(redefinition_k2_turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) ) => k2_turing_1(A,B,C,D) = k17_funcop_1(C,D) ) )).
fof(redefinition_k2_valuat_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) ) => k2_valuat_1(A,B) = k1_valuat_1(A,B) ) )).
fof(redefinition_k2_valued_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & v5_valued_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => k2_valued_0(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k2_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k2_valued_1(A,B,C,D,E) = k1_valued_1(D,E) ) )).
fof(redefinition_k2_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => k2_vectmetr(A) = k1_vectmetr(A) ) )).
fof(redefinition_k2_vectsp_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k2_vectsp_8(A,B) = k3_vectsp_5(A,B) ) )).
fof(redefinition_k2_waybel26,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_waybel26(A,B)))) ) => k2_waybel26(A,B,C,D) = k5_card_3(C,D) ) )).
fof(redefinition_k2_waybel28,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_waybel28(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => k2_waybel28(A,B,C) = k1_waybel28(A,B,C) ) )).
fof(redefinition_k2_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,C,k7_funcop_1(A,B)) ) => k2_waybel_5(A,B,C,D) = k6_funct_6(D) ) )).
fof(redefinition_k2_wsierp_1,axiom,( ! [A] : ( m1_finseq_1(A,k4_ordinal1) => k2_wsierp_1(A) = k19_rvsum_1(A) ) )).
fof(redefinition_k2_xfamily,axiom,( ! [A] : k2_xfamily(A) = k2_xtuple_0(A) )).
fof(redefinition_k2_yellow14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(k3_waybel18(A,k7_funcop_1(A,B)))) & m1_subset_1(D,A) ) => k2_yellow14(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k2_yellow16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) & m1_subset_1(C,A) ) => k2_yellow16(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k2_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k2_yellow_3(A,B,C,D,E,F) = k1_yellow_3(E,F) ) )).
fof(redefinition_k2_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_yellow_4(A,B,C) = k1_yellow_4(A,B,C) ) )).
fof(redefinition_k2_zf_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) & m1_subset_1(C,k1_zf_lang) & m1_subset_1(D,A) ) => k2_zf_lang1(A,B,C,D) = k1_funct_7(B,C,D) ) )).
fof(redefinition_k2_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => k2_zf_model(A) = k1_zf_model(A) ) )).
fof(redefinition_k2_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) & ~ v1_xboole_0(B) & v1_classes2(B) & v3_ordinal1(C) & m1_subset_1(C,B) ) => k2_zf_refle(A,B,C) = k1_zf_refle(A,B,C) ) )).
fof(redefinition_k2_zfrefle1,axiom,( k2_zfrefle1 = k1_zfrefle1 )).
fof(redefinition_k30_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k30_fomodel2(A) = k26_fomodel2(A) ) )).
fof(redefinition_k31_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & v1_int_1(F) ) => k31_aofa_i00(A,B,C,D,E,F) = k24_valued_1(E,F) ) )).
fof(redefinition_k31_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => k31_fomodel0(A,B) = k26_fomodel0(A,B) ) )).
fof(redefinition_k31_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k31_fomodel2(A) = k7_fomodel1(A) ) )).
fof(redefinition_k31_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k31_valued_1(A,B,C) = k30_valued_1(C) ) )).
fof(redefinition_k31_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => k31_valued_2(A,B,C,D) = k30_valued_2(B,C,D) ) )).
fof(redefinition_k32_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => k32_abcmiz_1(A) = k15_abcmiz_1(A) ) )).
fof(redefinition_k32_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k32_aofa_i00(A,B,C,D,E,F) = k45_valued_1(E,F) ) )).
fof(redefinition_k32_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k32_fomodel1(A) = k31_fomodel1(A) ) )).
fof(redefinition_k32_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => k32_fomodel2(A,B) = k28_fomodel2(A,B) ) )).
fof(redefinition_k32_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => k32_glib_000(A,B) = k30_glib_000(A,B) ) )).
fof(redefinition_k32_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k32_valued_1(A,B,C) = k30_valued_1(C) ) )).
fof(redefinition_k32_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => k32_valued_2(A,B,C,D) = k30_valued_2(B,C,D) ) )).
fof(redefinition_k33_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & l1_msualg_1(A) ) => k33_abcmiz_1(A) = k16_abcmiz_1(A) ) )).
fof(redefinition_k33_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k33_aofa_i00(A,B,C,D,E,F) = k1_valued_1(E,F) ) )).
fof(redefinition_k33_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) ) => k33_fomodel2(A,B) = k27_fomodel2(A,B) ) )).
fof(redefinition_k33_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => k33_glib_000(A,B) = k31_glib_000(A,B) ) )).
fof(redefinition_k33_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) ) => k33_substut1(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k34_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k34_aofa_i00(A,B,C,D,E,F) = k18_valued_1(E,F) ) )).
fof(redefinition_k34_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k15_fomodel2(A,B)) & v4_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) & m1_subset_1(E,B) ) => k34_fomodel2(A,B,C,D,E) = k5_fomodel2(C,D,E) ) )).
fof(redefinition_k34_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k2_zfmisc_1(k9_qc_lang1(A),k1_substut1(A))) ) => k34_substut1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k34_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k34_valued_1(A,B,C) = k30_valued_1(C) ) )).
fof(redefinition_k35_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k35_aofa_i00(A,B,C,D,E,F) = k2_aofa_i00(E,F) ) )).
fof(redefinition_k35_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k35_fomodel1(A) = k27_fomodel1(A) ) )).
fof(redefinition_k35_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) ) => k35_glib_000(A,B) = k34_glib_000(A,B) ) )).
fof(redefinition_k36_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k36_aofa_i00(A,B,C,D,E,F) = k3_aofa_i00(E,F) ) )).
fof(redefinition_k36_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k36_fomodel3(A,B,C) = k34_fomodel3(A,B,C) ) )).
fof(redefinition_k36_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k36_valued_1(A,B,C) = k35_valued_1(C) ) )).
fof(redefinition_k37_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k37_aofa_i00(A,B,C,D,E,F) = k4_aofa_i00(E,F) ) )).
fof(redefinition_k37_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k37_fomodel1(A) = k9_fomodel1(A) ) )).
fof(redefinition_k37_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k37_valued_1(A,B,C) = k35_valued_1(C) ) )).
fof(redefinition_k37_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => k37_valued_2(A,B,C,D) = k36_valued_2(B,C,D) ) )).
fof(redefinition_k38_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) & v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) & m3_aofa_i00(E,A,B,C,D) & m3_aofa_i00(F,A,B,C,D) ) => k38_aofa_i00(A,B,C,D,E,F) = k5_aofa_i00(E,F) ) )).
fof(redefinition_k38_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v3_card_1(C,B) & m1_subset_1(C,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) & v3_card_1(D,B) & m1_subset_1(D,k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => k38_fomodel4(A,B,C,D) = k37_fomodel4(A,B,C,D) ) )).
fof(redefinition_k38_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => k38_valued_2(A,B,C,D) = k36_valued_2(B,C,D) ) )).
fof(redefinition_k39_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k39_fomodel1(A) = k25_fomodel1(A) ) )).
fof(redefinition_k39_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v15_fomodel1(B,A) & v4_fomodel2(B,A) & ~ v5_fomodel2(B,A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k39_fomodel2(A,B) = k38_fomodel2(A,B) ) )).
fof(redefinition_k39_substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) ) => k39_substut1(A,B) = k37_substut1(A,B) ) )).
fof(redefinition_k3_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k2_abcmiz_1) => k3_abcmiz_1(A) = k1_xtuple_0(A) ) )).
fof(redefinition_k3_ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) ) => k3_ami_wstd(A,B,C) = k2_ami_wstd(A,B,C) ) )).
fof(redefinition_k3_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k9_funct_2(A,B)) & m1_subset_1(D,k9_funct_2(A,B)) ) => k3_aofa_000(A,B,C,D,E) = k2_aofa_000(C,D,E) ) )).
fof(redefinition_k3_aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & l4_aofa_a00(D,A,B,C) & m1_subset_1(E,k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,D),u8_aofa_a00(A))) & v4_msualg_1(F,A) & v4_msafree4(F,A,C) & l3_msualg_1(F,A) & ~ v2_struct_0(G) & v2_unialg_1(G) & v3_unialg_1(G) & v4_unialg_1(G) & v3_aofa_000(G) & v4_aofa_000(G) & v5_aofa_000(G) & v6_aofa_000(G) & l1_unialg_1(G) & m1_aofa_000(H,G,k12_aofa_a00(A,C,F,u4_aofa_a00(A,B,C,D)),k13_aofa_a00(A,C,F,u4_aofa_a00(A,B,C,D),u8_aofa_a00(A),E,k2_aofa_a01(A,F))) & m1_subset_1(I,k12_aofa_a00(A,C,F,u4_aofa_a00(A,B,C,D))) & m1_subset_1(J,u1_struct_0(G)) ) => k3_aofa_a01(A,B,C,D,E,F,G,H,I,J) = k1_binop_1(H,I,J) ) )).
fof(redefinition_k3_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ~ v3_xxreal_0(B) & v1_xreal_0(B) ) => k3_asympt_0(A,B) = k7_valued_1(A,B) ) )).
fof(redefinition_k3_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_boolealg(A,B,C) = k2_boolealg(A,B,C) ) )).
fof(redefinition_k3_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k3_borsuk_1(A,B,C,D) = k2_zfmisc_1(C,D) ) )).
fof(redefinition_k3_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => k3_borsuk_2(A,B,C,D,E,F) = k15_funct_3(E,F) ) )).
fof(redefinition_k3_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k3_bvfunc25(A,B,C) = k1_bvfunc25(B,C) ) )).
fof(redefinition_k3_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m1_cat_2(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,D))) & m1_subset_1(F,A) ) => k3_cat_2(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k3_cat_6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => k3_cat_6(A,B) = k2_funct_4(B) ) )).
fof(redefinition_k3_cat_7,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k6_cat_6(A)) ) => k3_cat_7(A,B) = k9_cat_6(A,B) ) )).
fof(redefinition_k3_catalan2,axiom,( ! [A] : k3_catalan2(A) = k8_afinsq_1(A) )).
fof(redefinition_k3_catalg_1,axiom,( ! [A] : k3_catalg_1(A) = k2_catalg_1(A) )).
fof(redefinition_k3_cgames_1,axiom,( k3_cgames_1 = k1_cgames_1 )).
fof(redefinition_k3_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_chord(B,A) & m1_subset_1(C,k6_glib_000(A)) ) => k3_chord(A,B,C) = k4_finseq_4(B,C) ) )).
fof(redefinition_k3_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => k3_classes1(A,B) = k2_classes1(A,B) ) )).
fof(redefinition_k3_classes2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) ) => k3_classes2(A,B) = k3_tarski(B) ) )).
fof(redefinition_k3_closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) & m2_pboole(D,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) ) => k3_closure1(A,B,C,D) = k8_pboole(C,D) ) )).
fof(redefinition_k3_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => k3_closure3(A,B,C,D) = k2_xboole_0(C,D) ) )).
fof(redefinition_k3_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & m1_subset_1(B,A) ) => k3_cohsp_1(A,B) = k5_finsub_1(B) ) )).
fof(redefinition_k3_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,C) & m2_cat_1(E,B,C) & m1_subset_1(F,k2_commacat(A,B,C,D,E)) ) => k3_commacat(A,B,C,D,E,F) = k13_mcart_1(F) ) )).
fof(redefinition_k3_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_complex1(A) = k1_complex1(A) ) )).
fof(redefinition_k3_complsp2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => k3_complsp2(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k3_compos_0,axiom,( ! [A] : k3_compos_0(A) = k2_xtuple_0(A) )).
fof(redefinition_k3_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_ordinal1(C) ) => k3_compos_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k3_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_finseq_1(C,A) ) => k3_descip_1(A,B,C) = k1_rfinseq(B,C) ) )).
fof(redefinition_k3_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) ) => k3_domain_1(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k3_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( m1_finseq_1(C,k2_zfmisc_1(A,B)) => k3_dtconstr(A,B,C) = k12_mcart_1(C) ) )).
fof(redefinition_k3_ec_pf_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) & m1_subset_1(B,k1_ec_pf_2(A)) ) => k3_ec_pf_2(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k3_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k3_eqrel_1(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k3_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k3_euclid(A) = k54_valued_1(A) ) )).
fof(redefinition_k3_finance1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k3_finance1(A,B) = k18_valued_1(A,B) ) )).
fof(redefinition_k3_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => k3_finance2(A,B) = k2_finance2(A,B) ) )).
fof(redefinition_k3_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k3_finseq_1(A) = k1_card_1(A) ) )).
fof(redefinition_k3_finseq_2,axiom,( ! [A] : k3_finseq_2(A) = k13_finseq_1(A) )).
fof(redefinition_k3_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => k3_finseq_4(A,B,C,D) = k11_finseq_1(B,C,D) ) )).
fof(redefinition_k3_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v7_ordinal1(C) & v7_ordinal1(D) ) => k3_finseq_6(A,B,C,D) = k2_finseq_6(B,C,D) ) )).
fof(redefinition_k3_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m1_subset_1(E,A) & m1_finseq_1(F,B) ) => k3_finseqop(A,B,C,D,E,F) = k5_funcop_1(D,E,F) ) )).
fof(redefinition_k3_finsop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k3_finsop_1(A) = k9_xtuple_0(A) ) )).
fof(redefinition_k3_finsub_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k3_finsub_1(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k3_flang_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k3_flang_1(A,B) = k3_afinsq_1(B) ) )).
fof(redefinition_k3_fomodel0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k3_fomodel0(A,B) = k13_finseq_1(B) ) )).
fof(redefinition_k3_fomodel2,axiom,( ! [A] : k3_fomodel2(A) = k4_relat_1(A) )).
fof(redefinition_k3_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v3_fomodel4(B,A) & v3_fomodel4(C,A) ) => k3_fomodel4(A,B,C) = k13_fomodel0(B,C) ) )).
fof(redefinition_k3_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => k3_funcsdom(A,B,C,D,E) = k3_funcop_1(C,D,E) ) )).
fof(redefinition_k3_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) ) => k3_funct_2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k3_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & v16_functor0(E,B,C) & m2_functor0(E,B,C) ) => k3_functor3(A,B,C,D,E) = k13_functor0(A,B,C,D,E) ) )).
fof(redefinition_k3_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k3_graph_1(A,B) = k1_graph_1(A,B) ) )).
fof(redefinition_k3_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_funct_2(A,A)) & m1_subset_1(C,k1_funct_2(A,A)) ) => k3_graphsp(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k3_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k3_group_2(A,B,C) = k2_group_2(A,B,C) ) )).
fof(redefinition_k3_group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) & m1_group_2(C,A) ) => k3_group_6(A,B,C) = k9_group_2(A,B,C) ) )).
fof(redefinition_k3_idea_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m1_finseq_1(C,k5_margrel1) ) => k3_idea_1(A,B,C) = k2_idea_1(A,B,C) ) )).
fof(redefinition_k3_int_5,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_finseq_1(B,k1_zfmisc_1(A)) ) => k3_int_5(A,B) = k1_card_3(B) ) )).
fof(redefinition_k3_jgraph_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => k3_jgraph_1(A,B) = k2_jgraph_1(B) ) )).
fof(redefinition_k3_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k3_jordan10(A) = k1_jordan10(A) ) )).
fof(redefinition_k3_kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_prob_1(D,C) & v4_prob_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(C))) & v1_funct_1(E) & v1_funct_2(E,B,k9_setfam_1(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(D)))) ) => k3_kolmog01(A,B,C,D,E) = k3_card_3(E) ) )).
fof(redefinition_k3_lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => k3_lattice5(A,B,C,D,E) = k1_binop_1(C,D,E) ) )).
fof(redefinition_k3_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => k3_latticea(A) = k2_latticea(A) ) )).
fof(redefinition_k3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_lattices(A,B,C) = k1_lattices(A,B,C) ) )).
fof(redefinition_k3_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_lfuzzy_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_lfuzzy_0(A,B,C) = k3_xxreal_0(B,C) ) )).
fof(redefinition_k3_lfuzzy_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => k3_lfuzzy_1(A,B) = k4_funct_3(A,B) ) )).
fof(redefinition_k3_lopclset,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) ) => k3_lopclset(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k3_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k3_lpspacc1(A,B,C,D) = k18_valued_1(C,D) ) )).
fof(redefinition_k3_matrix10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k3_matrix10(A,B) = k1_matrix10(B) ) )).
fof(redefinition_k3_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => k3_matrix13(A) = k1_tarski(A) ) )).
fof(redefinition_k3_matrix_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k9_matrix_1(A)) ) => k3_matrix_7(A,B) = k2_funct_1(B) ) )).
fof(redefinition_k3_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrixj1(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k3_matrixj1(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k3_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrixj2(B,A) & m1_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & v1_matrixj2(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => k3_matrixj2(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k3_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k3_zfmisc_1(A,B,C)) ) => k3_mcart_1(A,B,C,D) = k2_xtuple_0(D) ) )).
fof(redefinition_k3_measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k3_measure1(A,B,C,D) = k4_xboole_0(C,D) ) )).
fof(redefinition_k3_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => k3_measure6(A) = k5_member_1(A) ) )).
fof(redefinition_k3_measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m4_measure8(D,A,B,C) & v7_ordinal1(E) ) => k3_measure8(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k3_member_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k3_member_1(A,B) = k4_xxreal_3(A,B) ) )).
fof(redefinition_k3_mesfunc2,axiom,( ! [A] : ! [B] : k3_mesfunc2(A,B) = k4_funct_3(A,B) )).
fof(redefinition_k3_metric_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_metric_1(A,B,C) = k1_metric_1(A,B,C) ) )).
fof(redefinition_k3_mfold_0,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) & l1_pre_topc(B) ) => k3_mfold_0(A,B) = k1_mfold_0(B) ) )).
fof(redefinition_k3_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_midsp_1(A,B,C) = k1_midsp_1(A,B,C) ) )).
fof(redefinition_k3_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,k4_finseq_2(C,u1_struct_0(B))) & m1_subset_1(F,k4_finseq_2(D,u1_struct_0(B))) ) => k3_midsp_3(A,B,C,D,E,F) = k7_finseq_1(E,F) ) )).
fof(redefinition_k3_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => k3_modcat_1(A,B) = k2_modcat_1(A,B) ) )).
fof(redefinition_k3_monoid_0,axiom,( k3_monoid_0 = k2_gr_cy_1 )).
fof(redefinition_k3_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(G) & v1_funct_2(G,A,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k3_monoid_1(A,B,C,D,E,F,G) = k3_funcop_1(E,F,G) ) )).
fof(redefinition_k3_msafree,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k3_msafree(A,B) = k2_card_3(B) ) )).
fof(redefinition_k3_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => k3_msafree4(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k3_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_msaterm(A,B)) & m1_subset_1(D,k9_xtuple_0(C)) ) => k3_msaterm(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k3_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & m2_pboole(E,A,B,C) & m2_pboole(F,A,C,D) ) => k3_msualg_3(A,B,C,D,E,F) = k8_pboole(E,F) ) )).
fof(redefinition_k3_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_msualg_5(A,B)))) ) => k3_msualg_8(A,B,C,D) = k5_card_3(C,D) ) )).
fof(redefinition_k3_nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k3_nagata_1(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k3_nat_3,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) ) => k3_nat_3(A,B) = k1_nat_3(A,B) ) )).
fof(redefinition_k3_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k3_nat_d(A,B) = k4_int_1(A,B) ) )).
fof(redefinition_k3_openlatt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_openlatt(A)) & m1_subset_1(C,k1_openlatt(A)) ) => k3_openlatt(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k3_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k3_partfun2(A,B,C,D) = k6_relat_1(C,D) ) )).
fof(redefinition_k3_pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_pre_topc(A)) ) => k3_pencil_2(A,B,C) = k8_relat_1(B,C) ) )).
fof(redefinition_k3_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u1_petri(A)) ) => k3_petri(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k3_polyform,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_int_1(B) & v1_int_1(C) ) => k3_polyform(A,B,C) = k11_finseq_1(A,B,C) ) )).
fof(redefinition_k3_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l2_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k3_polynom1(A,B,C) = k2_polynom1(B,C) ) )).
fof(redefinition_k3_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_finseq_2(B,A)) & m1_subset_1(E,k4_finseq_2(C,A)) ) => k3_polynom3(A,B,C,D,E) = k7_finseq_1(D,E) ) )).
fof(redefinition_k3_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k3_pre_poly(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k3_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) & m1_subset_1(B,k4_finseq_1(A)) ) => k3_prvect_2(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k3_pscomp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k3_pscomp_1(A,B,C) = k5_relat_1(B,C) ) )).
fof(redefinition_k3_pua2mss1,axiom,( ! [A] : ! [B] : ( m2_pua2mss1(B,A) => k3_pua2mss1(A,B) = k10_xtuple_0(B) ) )).
fof(redefinition_k3_quatern2,axiom,( k3_quatern2 = k1_xcmplx_0 )).
fof(redefinition_k3_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => k3_radix_1(A) = k2_radix_1(A) ) )).
fof(redefinition_k3_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => k3_radix_3(A) = k1_radix_3(A) ) )).
fof(redefinition_k3_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => k3_random_1(A,B,C,D) = k1_valued_1(C,D) ) )).
fof(redefinition_k3_ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & ~ v1_ratfunc1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_ratfunc1(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k3_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xxreal_0(B) ) => k3_rcomp_1(A,B) = k2_xxreal_1(A,B) ) )).
fof(redefinition_k3_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k3_real_1(A,B) = k2_xcmplx_0(A,B) ) )).
fof(redefinition_k3_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k3_relset_1(A,B,C) = k2_relat_1(C) ) )).
fof(redefinition_k3_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k8_afinsq_1(A)) & v7_ordinal1(C) ) => k3_rewrite2(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k3_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k3_rfunct_1(A,B,C,D) = k1_rfunct_1(C,D) ) )).
fof(redefinition_k3_rfunct_3,axiom,( ! [A] : ! [B] : k3_rfunct_3(A,B) = k4_partfun1(A,B) )).
fof(redefinition_k3_rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_rlvect_1(A) & l1_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_rlvect_1(A,B,C) = k1_algstr_0(A,B,C) ) )).
fof(redefinition_k3_rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k9_funct_2(u1_struct_0(A),k1_numbers)) ) => k3_rlvect_2(A,B) = k13_pre_poly(B) ) )).
fof(redefinition_k3_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k3_rvsum_2(A,B) = k1_valued_1(A,B) ) )).
fof(redefinition_k3_scm_comp,axiom,( ! [A] : ( m1_subset_1(A,k6_dtconstr(k1_scm_comp)) => k3_scm_comp(A) = k1_trees_4(A) ) )).
fof(redefinition_k3_scmfsa_1,axiom,( k3_scmfsa_1 = k1_scmfsa_i )).
fof(redefinition_k3_scmpds_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_ami_2) & v1_int_1(B) ) => k3_scmpds_1(A,B) = k10_finseq_1(A,B) ) )).
fof(redefinition_k3_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k3_series_1(A) = k2_series_1(A) ) )).
fof(redefinition_k3_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k3_setwiseo(A,B,C) = k2_tarski(B,C) ) )).
fof(redefinition_k3_substut2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_qc_lang1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => k3_substut2(A,B,C) = k17_funcop_1(B,C) ) )).
fof(redefinition_k3_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k3_supinf_2(A,B) = k1_xxreal_3(A,B) ) )).
fof(redefinition_k3_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))))) ) => k3_topalg_4(A,B,C,D) = k11_mcart_1(D) ) )).
fof(redefinition_k3_topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_topgen_2(B,A) ) => k3_topgen_2(A,B) = k3_card_3(B) ) )).
fof(redefinition_k3_topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k3_topgen_4(A,B,C) = k2_setfam_1(B,C) ) )).
fof(redefinition_k3_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(k1_topreal7(A,B))) ) => k3_topreal7(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k3_toprealb,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => k3_toprealb(A,B) = k1_toprealb(A,B) ) )).
fof(redefinition_k3_trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) & m1_subset_1(C,k9_xtuple_0(B)) ) => k3_trees_2(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k3_turing_1,axiom,( ! [A] : ( v7_ordinal1(A) => k3_turing_1(A) = k1_ordinal1(A) ) )).
fof(redefinition_k3_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => k3_uproots(A,B) = k2_uproots(A,B) ) )).
fof(redefinition_k3_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k3_valued_1(A,B,C,D,E) = k1_valued_1(D,E) ) )).
fof(redefinition_k3_vfunct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k3_vfunct_2(A,B,C,D) = k1_vfunct_1(A,B,C,D) ) )).
fof(redefinition_k3_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k2_waybel27(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k3_waybel27(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k3_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & m1_subset_1(C,A) ) => k3_waybel_3(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k3_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,C,k7_funcop_1(A,B)) & m2_pboole(E,k4_card_3(k1_funct_6(D)),k7_funcop_1(k4_card_3(k1_funct_6(D)),A),k7_funcop_1(k4_card_3(k1_funct_6(D)),B)) & m1_subset_1(F,k4_card_3(k1_funct_6(D))) ) => k3_waybel_5(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k3_wsierp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_finseq_1(C,A) ) => k3_wsierp_1(A,B,C) = k2_finseq_3(B,C) ) )).
fof(redefinition_k3_xfamily,axiom,( ! [A] : k3_xfamily(A) = k4_xtuple_0(A) )).
fof(redefinition_k3_yellow20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v3_altcat_2(B,A) & m1_altcat_2(B,A) ) => k3_yellow20(A,B) = k10_functor0(A,B) ) )).
fof(redefinition_k3_yellow21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow21(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => k3_yellow21(A,B) = k1_yellow21(B) ) )).
fof(redefinition_k3_yellow_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & m1_subset_1(C,A) ) => k3_yellow_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k3_yellow_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k3_yellow_5(A,B,C) = k2_yellow_5(A,B,C) ) )).
fof(redefinition_k3_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => k3_zf_refle(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k40_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k38_abcmiz_1(A))) & v9_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k12_abcmiz_1(A)) ) => k40_abcmiz_1(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k41_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => k41_abcmiz_1(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k41_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) ) => k41_fomodel4(A,B,C) = k40_fomodel4(A,B,C) ) )).
fof(redefinition_k41_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k41_valued_1(A,B,C) = k39_valued_1(C) ) )).
fof(redefinition_k42_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) ) => k42_abcmiz_1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k42_fomodel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k42_fomodel1(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k42_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => k42_valued_2(A,B,C,D) = k41_valued_2(B,C,D) ) )).
fof(redefinition_k43_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_fomodel1(A)) ) => k43_fomodel1(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k43_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v4_funct_1(C) & m1_subset_1(D,k40_fomodel2(A)) ) => k43_fomodel4(A,B,C,D) = k42_fomodel4(A,B,C,D) ) )).
fof(redefinition_k43_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => k43_valued_2(A,B,C,D) = k41_valued_2(B,C,D) ) )).
fof(redefinition_k46_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k46_valued_1(A,B,C,D,E) = k45_valued_1(D,E) ) )).
fof(redefinition_k47_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & m1_subset_1(D,k30_fomodel2(B)) ) => k47_fomodel4(A,B,C,D) = k46_fomodel4(A,B,C,D) ) )).
fof(redefinition_k47_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k47_valued_1(A,B,C,D,E) = k45_valued_1(D,E) ) )).
fof(redefinition_k48_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => k48_valued_2(A,B,C,D) = k47_valued_2(B,C,D) ) )).
fof(redefinition_k49_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => k49_valued_2(A,B,C,D) = k47_valued_2(B,C,D) ) )).
fof(redefinition_k4_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) & m1_subset_1(C,k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) ) => k4_absred_0(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k4_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,k2_zfmisc_1(A,A)) & v1_funct_1(B) & v1_partfun1(B,k2_zfmisc_1(A,A)) & m2_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => k4_altcat_1(A,B,C,D,E,F) = k1_multop_1(C,D,E,F) ) )).
fof(redefinition_k4_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k9_funct_2(A,B)) & m1_subset_1(E,k9_funct_2(B,C)) ) => k4_aofa_000(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k4_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_msafree(C,A,B) ) => k4_aofa_l00(A,B,C) = k3_card_3(C) ) )).
fof(redefinition_k4_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => k4_binop_1(A,B,C,D) = k1_binop_1(B,C,D) ) )).
fof(redefinition_k4_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k4_borsuk_1(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k4_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => k4_borsuk_7(A,B,C) = k13_valued_1(B,C) ) )).
fof(redefinition_k4_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k4_bvfunc25(A,B,C) = k2_bvfunc25(B,C) ) )).
fof(redefinition_k4_bvfunc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => k4_bvfunc_2(A,B) = k1_tarski(B) ) )).
fof(redefinition_k4_card_1,axiom,( ! [A] : ( v1_finset_1(A) => k4_card_1(A) = k1_card_1(A) ) )).
fof(redefinition_k4_cat_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => k4_cat_2(A,B) = k2_cat_2(A,B) ) )).
fof(redefinition_k4_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m3_chord(B,A) & v7_ordinal1(C) ) => k4_chord(A,B,C) = k1_chord(B,C) ) )).
fof(redefinition_k4_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => k4_circcmb3(A,B,C,D) = k5_circcomb(C,D) ) )).
fof(redefinition_k4_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,u1_struct_0(k3_clopban1(A,B))) & m1_subset_1(D,A) ) => k4_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k4_closure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => k4_closure3(A,B,C,D) = k3_xboole_0(C,D) ) )).
fof(redefinition_k4_cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_cohsp_1(A) & v1_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => k4_cohsp_1(A,B) = k3_tarski(B) ) )).
fof(redefinition_k4_commacat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,C) & m2_cat_1(E,B,C) & m1_subset_1(F,k2_commacat(A,B,C,D,E)) ) => k4_commacat(A,B,C,D,E,F) = k14_mcart_1(F) ) )).
fof(redefinition_k4_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k4_complex1(A) = k2_complex1(A) ) )).
fof(redefinition_k4_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_qc_lang1(B) & m1_subset_1(C,k8_qc_lang1(B,A)) & v5_relat_1(D,k3_qc_lang1(B)) & v3_card_1(D,A) & m1_finseq_1(D,k2_qc_lang1(B)) ) => k4_cqc_lang(A,B,C,D) = k10_qc_lang1(B,C,D) ) )).
fof(redefinition_k4_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,k4_finseq_2(k3_xcmplx_0(2,B),A)) ) => k4_descip_1(A,B,C) = k16_finseq_1(B,C) ) )).
fof(redefinition_k4_dickson,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => k4_dickson(A,B) = k3_dickson(B) ) )).
fof(redefinition_k4_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,A) & m1_subset_1(E,B) & m1_subset_1(F,C) ) => k4_domain_1(A,B,C,D,E,F) = k3_xtuple_0(D,E,F) ) )).
fof(redefinition_k4_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k4_eqrel_1(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k4_euclid_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => k4_euclid_5(A,B,C) = k11_finseq_1(A,B,C) ) )).
fof(redefinition_k4_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k4_finseq_1(A) = k9_xtuple_0(A) ) )).
fof(redefinition_k4_finseq_5,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,A) => k4_finseq_5(A,B) = k3_finseq_5(B) ) )).
fof(redefinition_k4_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k4_finseqop(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k4_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_catalan2(A)) => k4_flang_1(A,B) = k1_tarski(B) ) )).
fof(redefinition_k4_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) & v9_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) ) => k4_fomodel2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k4_fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v10_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => k4_fomodel3(A,B,C) = k3_fomodel3(A,B,C) ) )).
fof(redefinition_k4_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => k4_funcsdom(A,B,C,D,E) = k5_funcop_1(C,D,E) ) )).
fof(redefinition_k4_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => k4_funct_2(A,B,C,D) = k11_mcart_1(D) ) )).
fof(redefinition_k4_functor2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => k4_functor2(A,B,C) = k1_functor2(A,B,C) ) )).
fof(redefinition_k4_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v12_altcat_1(C) & l2_altcat_1(C) & v16_functor0(D,A,B) & m2_functor0(D,A,B) & v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => k4_functor3(A,B,C,D,E) = k13_functor0(A,B,C,D,E) ) )).
fof(redefinition_k4_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,k4_finseq_2(A,u1_struct_0(B))) ) => k4_fvsum_1(A,B,C,D) = k3_fvsum_1(B,C,D) ) )).
fof(redefinition_k4_glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m2_glib_005(C,A,B) & v7_ordinal1(D) ) => k4_glib_005(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k4_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k4_graph_1(A,B) = k2_graph_1(A,B) ) )).
fof(redefinition_k4_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => k4_graph_2(A,B,C) = k3_graph_2(B,C) ) )).
fof(redefinition_k4_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_funct_2(A,A)) & m1_subset_1(C,A) ) => k4_graphsp(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k4_group_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_group_7(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k4_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_ideal_1(D,A,B) & m1_ideal_1(E,A,C) ) => k4_ideal_1(A,B,C,D,E) = k7_finseq_1(D,E) ) )).
fof(redefinition_k4_int_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & m1_subset_1(B,u1_struct_0(k1_int_3)) ) => k4_int_3(A,B) = k4_int_1(A,B) ) )).
fof(redefinition_k4_integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr16(D,A,B,C) & m1_subset_1(E,k4_ordinal1) ) => k4_integr16(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k4_jgraph_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => k4_jgraph_1(A,B) = k2_jgraph_1(B) ) )).
fof(redefinition_k4_jordan10,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k4_jordan10(A) = k2_jordan10(A) ) )).
fof(redefinition_k4_jordan1k,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & v2_compts_1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => k4_jordan1k(A,B,C) = k1_jordan1k(A,B,C) ) )).
fof(redefinition_k4_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) ) => k4_lang1(A,B,C) = k1_tarski(C) ) )).
fof(redefinition_k4_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => k4_lattad_1(A) = k3_lattad_1(A) ) )).
fof(redefinition_k4_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k4_lattices(A,B,C) = k2_lattices(A,B,C) ) )).
fof(redefinition_k4_matrix10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => k4_matrix10(A,B,C) = k3_matrixr1(B,C) ) )).
fof(redefinition_k4_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) & v1_matrix_0(E) & v2_matrix_0(E,C,A,B) & m1_finseq_1(E,k3_finseq_2(C)) ) => k4_matrix11(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k4_matrix13,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k4_matrix13(A,B) = k2_tarski(A,B) ) )).
fof(redefinition_k4_matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) ) => k4_matrixj1(A,B) = k5_finseq_1(B) ) )).
fof(redefinition_k4_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => k4_mcart_1(A,B,C,D,E) = k7_xtuple_0(E) ) )).
fof(redefinition_k4_measure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => k4_measure1(A,B,C) = k10_xtuple_0(C) ) )).
fof(redefinition_k4_measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & m2_measure7(B,A) & m1_subset_1(C,k4_ordinal1) ) => k4_measure7(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k4_mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_rfunct_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_rfunct_3(A,B)))) & v7_ordinal1(D) ) => k4_mesfunc5(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k4_mesfunc7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & v7_ordinal1(B) ) => k4_mesfunc7(A,B) = k3_mesfunc7(A,B) ) )).
fof(redefinition_k4_mfold_0,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) & l1_pre_topc(B) ) => k4_mfold_0(A,B) = k2_mfold_0(B) ) )).
fof(redefinition_k4_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,A) ) => k4_monoid_1(A,B,C) = k2_finseq_2(B,C) ) )).
fof(redefinition_k4_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m3_pboole(C,A,k1_mboolean(A,B)) ) => k4_mssubfam(A,B,C) = k3_mssubfam(A,B,C) ) )).
fof(redefinition_k4_multop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_zfmisc_1(A,B,C,D),E))) & m1_subset_1(G,A) & m1_subset_1(H,B) & m1_subset_1(I,C) & m1_subset_1(J,D) ) => k4_multop_1(A,B,C,D,E,F,G,H,I,J) = k3_multop_1(F,G,H,I,J) ) )).
fof(redefinition_k4_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k4_nat_1(A,B) = k3_xxreal_0(A,B) ) )).
fof(redefinition_k4_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k4_nat_d(A,B) = k5_int_1(A,B) ) )).
fof(redefinition_k4_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) ) => k4_nattra_1(A,B,C) = k1_nattra_1(A,B,C) ) )).
fof(redefinition_k4_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & v13_vectsp_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_lopban_1(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & v1_mazurulm(C,k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))))) ) => k4_ndiff_7(A,B,C) = k2_funct_1(C) ) )).
fof(redefinition_k4_newton,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k4_newton(A,B) = k3_newton(A,B) ) )).
fof(redefinition_k4_normsp_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_normsp_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k4_normsp_0(A,B,C) = k3_normsp_0(B,C) ) )).
fof(redefinition_k4_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_normsp_3(A,B) = k3_normsp_3(A,B) ) )).
fof(redefinition_k4_ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v3_ordinal1(C) & m1_subset_1(C,A) ) => k4_ordinal4(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k4_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,B,k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_ordinal1(A)))) ) => k4_ordinal6(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k4_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,B) ) => k4_partfun2(A,B,C,D) = k2_funcop_1(C,D) ) )).
fof(redefinition_k4_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u2_petri(A)) ) => k4_petri(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k4_pnproc_1,axiom,( ! [A] : ! [B] : ( m1_pnproc_1(B,A) => k4_pnproc_1(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k4_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => k4_polynom1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k4_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & m1_finseq_1(D,k4_finseq_2(B,A)) & m1_finseq_1(E,k4_finseq_2(C,A)) ) => k4_polynom3(A,B,C,D,E) = k8_pre_poly(D,E) ) )).
fof(redefinition_k4_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k4_pre_poly(A,B,C) = k10_finseq_1(B,C) ) )).
fof(redefinition_k4_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,k9_setfam_1(A)) & v7_ordinal1(C) ) => k4_prob_3(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k4_pua2mss1,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => k4_pua2mss1(A,B) = k4_relat_1(B) ) )).
fof(redefinition_k4_quatern3,axiom,( ! [A] : ( m1_subset_1(A,k1_quaterni) => k4_quatern3(A) = k3_quatern3(A) ) )).
fof(redefinition_k4_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => k4_quofield(A,B,C) = k2_quofield(A,B,C) ) )).
fof(redefinition_k4_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => k4_radix_3(A) = k2_radix_3(A) ) )).
fof(redefinition_k4_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => k4_random_1(A,B,C,D) = k45_valued_1(C,D) ) )).
fof(redefinition_k4_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) & m1_ratfunc1(B,A) ) => k4_ratfunc1(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k4_rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xreal_0(B) ) => k4_rcomp_1(A,B) = k3_xxreal_1(A,B) ) )).
fof(redefinition_k4_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k4_real_1(A,B) = k3_xcmplx_0(A,B) ) )).
fof(redefinition_k4_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k4_relset_1(A,B,C,D,E,F) = k3_relat_1(E,F) ) )).
fof(redefinition_k4_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) => k4_relset_2(A,B,C) = k3_relset_2(B,C) ) )).
fof(redefinition_k4_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k8_afinsq_1(A)) & m1_finseq_1(C,k8_afinsq_1(A)) ) => k4_rewrite2(A,B,C) = k1_rewrite2(B,C) ) )).
fof(redefinition_k4_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,B) ) => k4_rfunct_3(A,B,C,D) = k2_funcop_1(C,D) ) )).
fof(redefinition_k4_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k4_robbins3(A,B,C) = k2_lattices(A,B,C) ) )).
fof(redefinition_k4_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k4_rvsum_1(A,B) = k1_valued_1(A,B) ) )).
fof(redefinition_k4_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => k4_rvsum_2(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k4_scmfsa_m,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => k4_scmfsa_m(A) = k1_tarski(A) ) )).
fof(redefinition_k4_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_membered(A) ) => k4_seq_4(A) = k2_xxreal_2(A) ) )).
fof(redefinition_k4_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k4_setlim_1(A,B) = k3_setlim_1(B) ) )).
fof(redefinition_k4_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => k4_setwiseo(A,B,C,D) = k1_enumset1(B,C,D) ) )).
fof(redefinition_k4_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => k4_stacks_1(A,B,C,D,E,F) = k1_funct_4(E,F) ) )).
fof(redefinition_k4_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_qc_lang1(B) & m1_subset_1(C,k8_qc_lang1(B,A)) & v5_relat_1(D,k3_qc_lang1(B)) & v3_card_1(D,A) & m1_finseq_1(D,k2_qc_lang1(B)) & m1_subset_1(E,k1_substut1(B)) ) => k4_sublemma(A,B,C,D,E) = k17_substut1(B,C,D,E) ) )).
fof(redefinition_k4_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k4_subset_1(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k4_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k4_supinf_2(A,B) = k3_xxreal_3(A,B) ) )).
fof(redefinition_k4_tex_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_tex_4(A,B) = k2_tex_4(A,B) ) )).
fof(redefinition_k4_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))))) ) => k4_topalg_4(A,B,C,D) = k12_mcart_1(D) ) )).
fof(redefinition_k4_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_topgen_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => k4_topgen_2(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k4_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => k4_topgrp_1(A) = k3_struct_0(A) ) )).
fof(redefinition_k4_topreal7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & ~ v2_struct_0(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(k1_topreal7(A,B))) ) => k4_topreal7(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k4_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(k2_borsuk_1(A,B))) ) => k4_toprealc(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k4_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,C) & m1_finseq_1(D,k2_qc_lang1(A)) & m1_subset_1(E,k2_valuat_1(A,B)) ) => k4_valuat_1(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k4_vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => k4_vsdiff_1(A,B,C,D,E,F) = k3_vsdiff_1(A,B,C,D,E,F) ) )).
fof(redefinition_k4_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & m1_subset_1(C,A) ) => k4_waybel18(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k4_waybel35,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k4_waybel35(A,B,C,D) = k3_waybel35(B,C,D) ) )).
fof(redefinition_k4_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & m1_subset_1(D,A) ) => k4_waybel_3(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k4_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v2_altcat_1(C) & v3_altcat_2(C,A) & m1_altcat_2(C,A) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => k4_yellow20(A,B,C,D) = k14_functor0(A,B,C,D) ) )).
fof(redefinition_k4_yellow21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v3_yellow21(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => k4_yellow21(A,B) = k1_yellow21(B) ) )).
fof(redefinition_k4_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => k4_yellow_3(A,B,C) = k9_xtuple_0(C) ) )).
fof(redefinition_k4_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k4_yellow_4(A,B,C) = k3_yellow_4(A,B,C) ) )).
fof(redefinition_k4_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) ) => k4_zf_lang1(A) = k3_zf_lang1(A) ) )).
fof(redefinition_k4_zf_refle,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) ) => k4_zf_refle(A,B) = k3_card_3(B) ) )).
fof(redefinition_k51_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => k51_abcmiz_1(A) = k1_lang1(A) ) )).
fof(redefinition_k51_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k51_fomodel4(A) = k50_fomodel4(A) ) )).
fof(redefinition_k51_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_membered(B) & v1_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k51_valued_1(A,B,C,D,E) = k50_valued_1(D,E) ) )).
fof(redefinition_k52_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => k52_abcmiz_1(A) = k2_lang1(A) ) )).
fof(redefinition_k52_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_membered(B) & v3_membered(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k52_valued_1(A,B,C,D,E) = k50_valued_1(D,E) ) )).
fof(redefinition_k52_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => k52_valued_2(A,B,C,D) = k51_valued_2(B,C,D) ) )).
fof(redefinition_k53_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,A) & m1_subset_1(E,A) ) => k53_abcmiz_1(A,B,C,D,E) = k2_matrix_7(B,C,D,E) ) )).
fof(redefinition_k53_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => k53_valued_2(A,B,C,D) = k51_valued_2(B,C,D) ) )).
fof(redefinition_k55_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k55_valued_1(A,B,C) = k54_valued_1(C) ) )).
fof(redefinition_k56_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k56_valued_1(A,B,C) = k54_valued_1(C) ) )).
fof(redefinition_k58_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_finseq_1(C,k34_abcmiz_1(A)) ) => k58_abcmiz_1(A,B,C) = k57_abcmiz_1(A,B,C) ) )).
fof(redefinition_k58_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => k58_valued_2(A,B,C,D) = k57_valued_2(B,C,D) ) )).
fof(redefinition_k59_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_abcmiz_1(C,A,k14_abcmiz_1(A)) ) => k59_abcmiz_1(A,B,C) = k56_abcmiz_1(A,B,C) ) )).
fof(redefinition_k59_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => k59_valued_2(A,B,C,D) = k57_valued_2(B,C,D) ) )).
fof(redefinition_k5_abcmiz_a,axiom,( k5_abcmiz_a = k17_abcmiz_1 )).
fof(redefinition_k5_afinsq_1,axiom,( ! [A] : k5_afinsq_1(A) = k3_afinsq_1(A) )).
fof(redefinition_k5_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_connsp_2(E,A,C) & m1_connsp_2(F,B,D) ) => k5_borsuk_1(A,B,C,D,E,F) = k2_zfmisc_1(E,F) ) )).
fof(redefinition_k5_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k5_bvfunc25(A,B,C) = k1_bvfunc25(B,C) ) )).
fof(redefinition_k5_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k5_bvfunc_1(A,B,C) = k3_bvfunc_1(B,C) ) )).
fof(redefinition_k5_card_1,axiom,( ! [A] : ( v7_ordinal1(A) => k5_card_1(A) = k6_ordinal1(A) ) )).
fof(redefinition_k5_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k5_cat_5(A,B) = k13_mcart_1(B) ) )).
fof(redefinition_k5_cayldick,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k5_cayldick(A,B,C) = k6_afinsq_1(B,C) ) )).
fof(redefinition_k5_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) & v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => k5_circcmb3(A,B,C,D) = k7_circcomb(A,B,C,D) ) )).
fof(redefinition_k5_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k5_classes2(A,B,C) = k2_tarski(B,C) ) )).
fof(redefinition_k5_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => k5_closure2(A,B,C) = k4_closure2(A,B,C) ) )).
fof(redefinition_k5_complex1,axiom,( k5_complex1 = k5_ordinal1 )).
fof(redefinition_k5_complsp2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) ) => k5_complsp2(A,B) = k30_valued_1(B) ) )).
fof(redefinition_k5_compos_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & m1_subset_1(B,A) ) => k5_compos_0(A,B) = k4_xtuple_0(B) ) )).
fof(redefinition_k5_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k5_comseq_3(A,B) = k3_comseq_3(B) ) )).
fof(redefinition_k5_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_convex4(B,A) & m1_convex4(C,A) ) => k5_convex4(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k5_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => k5_cqc_lang(A) = k12_qc_lang1(A) ) )).
fof(redefinition_k5_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m1_finseq_1(C,k2_qc_lang1(A)) & m1_subset_1(D,k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) ) => k5_cqc_sim1(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k5_descip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_finseq_2(k2_nat_1(2,B),A)) ) => k5_descip_1(A,B,C) = k1_rfinseq(B,C) ) )).
fof(redefinition_k5_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,A) & m1_subset_1(F,B) & m1_subset_1(G,C) & m1_subset_1(H,D) ) => k5_domain_1(A,B,C,D,E,F,G,H) = k6_xtuple_0(E,F,G,H) ) )).
fof(redefinition_k5_equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_funct_1(u3_msualg_1(A,k3_equation(A)),B)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k3_equation(A)),B)) ) => k5_equation(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k5_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => k5_euclid(A) = k4_euclid(A) ) )).
fof(redefinition_k5_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => k5_exchsort(A,B,C,D,E) = k9_funct_7(C,D,E) ) )).
fof(redefinition_k5_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k5_extreal1(A,B) = k4_xxreal_0(A,B) ) )).
fof(redefinition_k5_finance2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) ) => k5_finance2(A,B) = k4_finance2(A,B) ) )).
fof(redefinition_k5_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m1_subset_1(C,A) ) => k5_finseq_2(A,B,C) = k2_finseq_2(B,C) ) )).
fof(redefinition_k5_flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v7_ordinal1(C) ) => k5_flang_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k5_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => k5_funct_2(A,B,C,D) = k12_mcart_1(D) ) )).
fof(redefinition_k5_funct_3,axiom,( ! [A] : ! [B] : k5_funct_3(A,B) = k4_funct_3(A,B) )).
fof(redefinition_k5_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => k5_funct_4(A,B,C,D,E) = k4_funct_4(B,C,D,E) ) )).
fof(redefinition_k5_funct_5,axiom,( k5_funct_5 = k5_ordinal1 )).
fof(redefinition_k5_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & v10_functor0(C,A,B) & l2_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => k5_functor0(A,B,C,D,E) = k4_functor0(A,B,C,D,E) ) )).
fof(redefinition_k5_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => k5_glib_002(A) = k4_glib_002(A) ) )).
fof(redefinition_k5_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k3_rfunct_3(A,B),C)) ) => k5_glib_004(A,B,C,D) = k1_xtuple_0(D) ) )).
fof(redefinition_k5_groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) & m2_ideal_1(D,k12_polynom1(A,B),C) & m2_ideal_1(E,k12_polynom1(A,B),C) ) => k5_groeb_2(A,B,C,D,E) = k7_finseq_1(D,E) ) )).
fof(redefinition_k5_group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k5_group_7(A,B,C,D) = k10_finseq_1(C,D) ) )).
fof(redefinition_k5_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_ideal_1(D,A,B) & m2_ideal_1(E,A,C) ) => k5_ideal_1(A,B,C,D,E) = k7_finseq_1(D,E) ) )).
fof(redefinition_k5_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => k5_index_1(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k5_int_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & m1_subset_1(B,u1_struct_0(k1_int_3)) ) => k5_int_3(A,B) = k5_int_1(A,B) ) )).
fof(redefinition_k5_integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m4_integr15(E,A,B,C,D) & m1_subset_1(F,k4_ordinal1) ) => k5_integr15(A,B,C,D,E,F) = k1_funct_1(E,F) ) )).
fof(redefinition_k5_knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => k5_knaster(A,B,C,D) = k3_knaster(A,B,C,D) ) )).
fof(redefinition_k5_lang1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => k5_lang1(A,B,C,D) = k2_tarski(C,D) ) )).
fof(redefinition_k5_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_lexbfs(B,A) & v7_ordinal1(C) ) => k5_lexbfs(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k5_lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & v1_xcmplx_0(D) ) => k5_lpspacc1(A,B,C,D) = k24_valued_1(C,D) ) )).
fof(redefinition_k5_matrix10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m1_finseq_1(B,k3_finseq_2(k1_numbers)) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => k5_matrix10(A,B,C) = k5_matrixr1(B,C) ) )).
fof(redefinition_k5_matrix13,axiom,( ! [A] : ( ( v1_finset_1(A) & v1_setfam_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => k5_matrix13(A) = k14_finseq_1(A) ) )).
fof(redefinition_k5_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),A,B) & m1_finseq_1(E,k3_finseq_2(u1_struct_0(D))) & v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(D),k1_matrix_0(E),C) & m1_finseq_1(F,k3_finseq_2(u1_struct_0(D))) ) => k5_matrix_3(A,B,C,D,E,F) = k4_matrix_3(D,E,F) ) )).
fof(redefinition_k5_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => k5_matrixj1(A,B,C) = k10_finseq_1(B,C) ) )).
fof(redefinition_k5_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v1_matrix_0(E) & m1_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => k5_matrlin2(A,B,C,D,E) = k3_matrix_3(C,D,E) ) )).
fof(redefinition_k5_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => k5_mcart_1(A,B,C,D,E) = k8_xtuple_0(E) ) )).
fof(redefinition_k5_midsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => k5_midsp_1(A,B) = k4_midsp_1(A,B) ) )).
fof(redefinition_k5_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k4_finseq_2(k1_nat_1(A,1),B)) & m1_midsp_3(D,A) ) => k5_midsp_3(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k5_modal_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_subset_1(B,A) ) => k5_modal_1(A,B) = k8_trees_2(A,B) ) )).
fof(redefinition_k5_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => k5_monoid_1(A,B,C) = k2_funcop_1(B,C) ) )).
fof(redefinition_k5_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => k5_msafree5(A,B,C) = k4_msafree4(A,B,C) ) )).
fof(redefinition_k5_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k5_mssubfam(A,B) = k1_mboolean(A,B) ) )).
fof(redefinition_k5_msualg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u4_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u4_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u4_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u4_struct_0(A)) & m2_pboole(D,u4_struct_0(A),B,C) & m1_subset_1(E,u4_struct_0(A)) ) => k5_msualg_4(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k5_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => k5_nat_1(A,B) = k4_xxreal_0(A,B) ) )).
fof(redefinition_k5_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k5_nat_d(A,B) = k2_int_2(A,B) ) )).
fof(redefinition_k5_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) ) => k5_ndiff_7(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k5_normsp_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_normsp_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k5_normsp_0(A,B) = k3_normsp_0(A,B) ) )).
fof(redefinition_k5_numbers,axiom,( k5_numbers = k5_ordinal1 )).
fof(redefinition_k5_ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => k5_ordinal4(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k5_petri,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m1_subset_1(B,u2_petri(A)) ) => k5_petri(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k5_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_petri_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_petri_3(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => k5_petri_3(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k5_pnproc_1,axiom,( ! [A] : ! [B] : ( m1_pnproc_1(B,A) => k5_pnproc_1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k5_pralg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) & m1_subset_1(D,A) ) => k5_pralg_2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k5_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k5_prob_1(A,B,C,D) = k3_xboole_0(C,D) ) )).
fof(redefinition_k5_prob_3,axiom,( ! [A] : ! [B] : ( m1_finseq_1(B,k9_setfam_1(A)) => k5_prob_3(A,B) = k3_card_3(B) ) )).
fof(redefinition_k5_prvect_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_2(A) & m1_subset_1(B,k4_finseq_1(k4_prvect_2(A))) ) => k5_prvect_2(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k5_quatern2,axiom,( ! [A] : ! [B] : ( ( v1_quaterni(A) & v1_quaterni(B) ) => k5_quatern2(A,B) = k4_quatern2(A,B) ) )).
fof(redefinition_k5_quofield,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v2_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,k1_quofield(A)) & m1_subset_1(C,k1_quofield(A)) ) => k5_quofield(A,B,C) = k3_quofield(A,B,C) ) )).
fof(redefinition_k5_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & v1_xreal_0(D) ) => k5_random_1(A,B,C,D) = k24_valued_1(C,D) ) )).
fof(redefinition_k5_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k5_ranknull(A,B,C,D) = k7_relat_1(C,D) ) )).
fof(redefinition_k5_ratfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) & m1_ratfunc1(B,A) ) => k5_ratfunc1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k5_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k5_real_1(A,B) = k6_xcmplx_0(A,B) ) )).
fof(redefinition_k5_real_ns1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_euclid(A)))) & v7_ordinal1(C) ) => k5_real_ns1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k5_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k5_relset_1(A,B,C,D) = k5_relat_1(C,D) ) )).
fof(redefinition_k5_rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k8_afinsq_1(A)) & m1_finseq_1(C,k8_afinsq_1(A)) ) => k5_rewrite2(A,B,C) = k2_rewrite2(B,C) ) )).
fof(redefinition_k5_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k5_rfunct_3(A,B,C,D) = k1_valued_1(C,D) ) )).
fof(redefinition_k5_ring_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k5_ring_2(A,B,C) = k4_ring_2(A,B,C) ) )).
fof(redefinition_k5_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => k5_ringcat1(A) = k4_ringcat1(A) ) )).
fof(redefinition_k5_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k5_robbins1(A,B,C) = k1_lattices(A,B,C) ) )).
fof(redefinition_k5_robbins3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k5_robbins3(A,B,C) = k1_lattices(A,B,C) ) )).
fof(redefinition_k5_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => k5_rvsum_1(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k5_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => k5_rvsum_2(A) = k30_valued_1(A) ) )).
fof(redefinition_k5_scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_scmfsa_m(A,B) = k2_tarski(A,B) ) )).
fof(redefinition_k5_scmring1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) & m1_subset_1(C,k2_ami_2) ) => k5_scmring1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k5_series_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k5_series_1(A,B) = k2_power(A,B) ) )).
fof(redefinition_k5_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k5_setfam_1(A,B) = k3_tarski(B) ) )).
fof(redefinition_k5_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k5_setlim_1(A,B,C) = k1_setlim_1(C) ) )).
fof(redefinition_k5_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => k5_setwiseo(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k5_sublemma,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) ) => k5_sublemma(A,B) = k20_substut1(A,B) ) )).
fof(redefinition_k5_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k5_subset_1(A,B,C) = k5_xboole_0(B,C) ) )).
fof(redefinition_k5_substut2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k16_substut1(A)) ) => k5_substut2(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k5_supinf_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => k5_supinf_2(A,B) = k8_member_1(A,B) ) )).
fof(redefinition_k5_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) & m1_borsuk_2(D,A,B,B) ) => k5_topalg_7(A,B,C,D) = k4_topalg_7(A,B,C,D) ) )).
fof(redefinition_k5_topmetr,axiom,( k5_topmetr = k17_borsuk_1 )).
fof(redefinition_k5_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(B)) ) => k5_toprealc(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) )).
fof(redefinition_k5_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => k5_trees_9(A,B) = k3_trees_9(B) ) )).
fof(redefinition_k5_waybel18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & m1_subset_1(C,u1_struct_0(k3_waybel18(A,B))) & m1_subset_1(D,A) ) => k5_waybel18(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k5_waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => k5_waybel_3(A,B,C,D) = k5_card_3(C,D) ) )).
fof(redefinition_k5_waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => k5_waybel_9(A,B,C) = k4_waybel_9(A,B,C) ) )).
fof(redefinition_k5_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & ~ v2_struct_0(C) & v2_altcat_1(C) & v3_altcat_2(C,A) & m1_altcat_2(C,A) & v16_functor0(D,A,B) & m2_functor0(D,A,B) ) => k5_yellow20(A,B,C,D) = k14_functor0(A,B,C,D) ) )).
fof(redefinition_k5_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_orders_2(A) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => k5_yellow_3(A,B,C) = k10_xtuple_0(C) ) )).
fof(redefinition_k5_zf_model,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) ) => k5_zf_model(A,B) = k4_zf_model(A,B) ) )).
fof(redefinition_k5_zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => k5_zf_refle(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k60_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => k60_abcmiz_1(A,B,C) = k56_abcmiz_1(A,B,C) ) )).
fof(redefinition_k61_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v8_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => k61_abcmiz_1(A,B,C) = k56_abcmiz_1(A,B,C) ) )).
fof(redefinition_k62_abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_abcmiz_1(C,A,k12_abcmiz_1(A)) ) => k62_abcmiz_1(A,B,C) = k56_abcmiz_1(A,B,C) ) )).
fof(redefinition_k63_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => k63_valued_2(A,B,C,D) = k62_valued_2(B,C,D) ) )).
fof(redefinition_k64_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => k64_valued_2(A,B,C,D) = k62_valued_2(B,C,D) ) )).
fof(redefinition_k69_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) ) => k69_valued_2(A,B,C,D) = k68_valued_2(B,C,D) ) )).
fof(redefinition_k6_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k6_armstrng(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k6_bcialg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,k5_bcialg_1(A)) & m1_subset_1(C,k5_bcialg_1(A)) ) => k6_bcialg_1(A,B,C) = k1_bcialg_1(A,B,C) ) )).
fof(redefinition_k6_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k6_bhsp_1(A,B,C) = k1_normsp_1(A,B,C) ) )).
fof(redefinition_k6_bilinear,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => k6_bilinear(A,B,C,D,E) = k2_bilinear(A,B,C,D,E) ) )).
fof(redefinition_k6_borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,u1_struct_0(B)) & m2_connsp_2(E,A,C) & m1_connsp_2(F,B,D) ) => k6_borsuk_1(A,B,C,D,E,F) = k2_zfmisc_1(E,F) ) )).
fof(redefinition_k6_borsuk_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k3_topmetr)) & m1_subset_1(B,u1_struct_0(k3_topmetr)) & m1_borsuk_2(C,k3_topmetr,A,B) & v1_xreal_0(D) ) => k6_borsuk_7(A,B,C,D) = k13_valued_1(C,D) ) )).
fof(redefinition_k6_bvfunc25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k6_bvfunc25(A,B,C) = k2_bvfunc25(B,C) ) )).
fof(redefinition_k6_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k6_bvfunc_1(A,B,C) = k4_bvfunc_1(B,C) ) )).
fof(redefinition_k6_calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,A) ) => k6_calcul_2(A,B,C) = k2_finseq_2(B,C) ) )).
fof(redefinition_k6_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k6_cat_5(A,B) = k14_mcart_1(B) ) )).
fof(redefinition_k6_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) & m1_circcmb3(C,A) ) => k6_circcmb3(A,B,C) = k2_circcomb(B,C) ) )).
fof(redefinition_k6_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k6_classes2(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k6_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => k6_closure2(A,B) = k1_closure2(A,B) ) )).
fof(redefinition_k6_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k6_cohsp_1(A,B,C) = k5_cohsp_1(C) ) )).
fof(redefinition_k6_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k6_comseq_3(A,B) = k4_comseq_3(B) ) )).
fof(redefinition_k6_cqc_lang,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) ) => k6_cqc_lang(A,B) = k13_qc_lang1(A,B) ) )).
fof(redefinition_k6_dblseq_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k6_dblseq_1(A,B,C,D,E) = k6_finseqop(C,D,E) ) )).
fof(redefinition_k6_domain_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k6_domain_1(A,B) = k1_tarski(B) ) )).
fof(redefinition_k6_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & l1_lang1(A) ) => k6_dtconstr(A) = k1_lang1(A) ) )).
fof(redefinition_k6_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(k5_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => k6_dualsp01(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k6_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k6_eqrel_1(A,B,C,D) = k9_relat_1(C,D) ) )).
fof(redefinition_k6_euclid,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) ) => k6_euclid(A,B) = k30_valued_1(B) ) )).
fof(redefinition_k6_euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k6_euclid_7(A,B) = k6_matrixr2(A,B) ) )).
fof(redefinition_k6_extreal1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) ) => k6_extreal1(A,B) = k3_xxreal_0(A,B) ) )).
fof(redefinition_k6_filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => k6_filter_1(A,B,C,D) = k3_funct_4(C,D) ) )).
fof(redefinition_k6_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => k6_funcop_1(A,B,C,D,E) = k3_funcop_1(C,D,E) ) )).
fof(redefinition_k6_funct_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k6_funct_3(A,B) = k4_relat_1(B) ) )).
fof(redefinition_k6_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) ) => k6_fvsum_1(A,B,C) = k5_fvsum_1(B,C) ) )).
fof(redefinition_k6_graphsp,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) & m1_subset_1(B,k3_finseq_2(k1_numbers)) ) => k6_graphsp(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k6_group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v2_struct_0(C) & l3_algstr_0(C) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(C)) ) => k6_group_7(A,B,C,D,E,F) = k11_finseq_1(D,E,F) ) )).
fof(redefinition_k6_ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m3_ideal_1(D,A,B) & m3_ideal_1(E,A,C) ) => k6_ideal_1(A,B,C,D,E) = k7_finseq_1(D,E) ) )).
fof(redefinition_k6_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_index_1(C) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_funcop_1(D) ) => k6_index_1(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k6_knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => k6_knaster(A,B,C,D) = k4_knaster(A,B,C,D) ) )).
fof(redefinition_k6_lattice3,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k6_lattice3(A,B) = k2_relat_1(B) ) )).
fof(redefinition_k6_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => k6_lattice8(A,B,C,D,E) = k5_lattice8(A,B,C,D,E) ) )).
fof(redefinition_k6_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B))) & m1_subset_1(D,A) ) => k6_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k6_margrel1,axiom,( k6_margrel1 = k1_xboolean )).
fof(redefinition_k6_matrix10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m1_finseq_1(C,k3_finseq_2(k1_numbers)) ) => k6_matrix10(A,B,C) = k7_matrixr1(B,C) ) )).
fof(redefinition_k6_matrix15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & m1_finseq_1(C,u1_struct_0(A)) ) => k6_matrix15(A,B,C) = k5_matrix15(A,B,C) ) )).
fof(redefinition_k6_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k6_matrixj1(A,B,C) = k16_finseq_1(B,C) ) )).
fof(redefinition_k6_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_matrixj2(C,A,B) & m1_matrixj2(D,A,B) ) => k6_matrixj2(A,B,C,D) = k7_finseq_1(C,D) ) )).
fof(redefinition_k6_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v13_vectsp_1(F,C,D) & v1_mod_2(F,A,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => k6_matrlin2(A,B,C,D,E,F) = k3_relat_1(E,F) ) )).
fof(redefinition_k6_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => k6_mcart_1(A,B,C,D,E) = k5_xtuple_0(E) ) )).
fof(redefinition_k6_measure6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k6_measure6(A,B,C) = k35_valued_1(C) ) )).
fof(redefinition_k6_midsp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) & m1_subset_1(C,k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(B)) ) => k6_midsp_3(A,B,C,D,E) = k1_funct_7(C,D,E) ) )).
fof(redefinition_k6_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) & m1_subset_1(F,B) & v1_funct_1(G) & v1_funct_2(G,A,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => k6_monoid_1(A,B,C,D,E,F,G) = k5_funcop_1(E,F,G) ) )).
fof(redefinition_k6_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k7_dtconstr(k5_msafree(A,B))) & m1_msaterm(D,A,B,C) ) => k6_msaterm(A,B,C,D) = k4_trees_4(C,D) ) )).
fof(redefinition_k6_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k6_nat_d(A,B) = k3_int_2(A,B) ) )).
fof(redefinition_k6_ndiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) ) => k6_ndiff_7(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_k6_ordinal4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) ) => k6_ordinal4(A,B) = k1_ordinal1(B) ) )).
fof(redefinition_k6_partfun1,axiom,( ! [A] : k6_partfun1(A) = k4_relat_1(A) )).
fof(redefinition_k6_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v7_pcs_0(B) & m1_subset_1(C,A) ) => k6_pcs_0(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k6_pdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m1_subset_1(C,k1_euclid(A)) ) => k6_pdiff_1(A,B,C) = k5_pdiff_1(B,C) ) )).
fof(redefinition_k6_petri_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v3_petri_2(A) & v4_petri_3(A) & l1_petri_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_petri_2(A),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_petri_2(A),k4_ordinal1))) ) => k6_petri_3(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k6_polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k6_polynom1(A,B,C,D) = k5_polynom1(A,B,C,D) ) )).
fof(redefinition_k6_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k6_prelamb(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k6_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k6_prob_1(A,B,C,D) = k2_xboole_0(C,D) ) )).
fof(redefinition_k6_qmax_1,axiom,( ! [A] : ! [B] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) ) => k6_qmax_1(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k6_random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) & m1_random_1(D,A,B) ) => k6_random_1(A,B,C,D) = k18_valued_1(C,D) ) )).
fof(redefinition_k6_real_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) ) => k6_real_1(A,B) = k7_xcmplx_0(A,B) ) )).
fof(redefinition_k6_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k6_relset_1(A,B,C,D) = k6_relat_1(C,D) ) )).
fof(redefinition_k6_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k6_relset_2(A,B,C,D) = k5_relset_2(A,B,C,D) ) )).
fof(redefinition_k6_rewrite2,axiom,( ! [A] : k6_rewrite2(A) = k4_relat_1(A) )).
fof(redefinition_k6_rfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k6_rfunct_1(A,B,C) = k4_rfunct_1(C) ) )).
fof(redefinition_k6_robbins1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & l2_robbins1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k6_robbins1(A,B,C) = k4_robbins1(A,B,C) ) )).
fof(redefinition_k6_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k6_rvsum_1(A) = k30_valued_1(A) ) )).
fof(redefinition_k6_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) ) => k6_rvsum_2(A,B) = k30_valued_1(B) ) )).
fof(redefinition_k6_scmfsa_m,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => k6_scmfsa_m(A,B,C) = k1_enumset1(A,B,C) ) )).
fof(redefinition_k6_scmring1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k2_ami_2) & m1_subset_1(C,u1_struct_0(A)) ) => k6_scmring1(A,B,C) = k10_finseq_1(B,C) ) )).
fof(redefinition_k6_setfam_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k6_setfam_1(A,B) = k1_setfam_1(B) ) )).
fof(redefinition_k6_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k6_setlim_1(A,B,C) = k3_setlim_1(C) ) )).
fof(redefinition_k6_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => k6_setwiseo(A,B,C) = k4_xboole_0(B,C) ) )).
fof(redefinition_k6_subset_1,axiom,( ! [A] : ! [B] : k6_subset_1(A,B) = k4_xboole_0(A,B) )).
fof(redefinition_k6_substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_substut1(A)) ) => k6_substut1(A,B,C) = k5_relat_1(B,C) ) )).
fof(redefinition_k6_supinf_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k6_numbers)) => k6_supinf_2(A) = k4_member_1(A) ) )).
fof(redefinition_k6_topalg_5,axiom,( ! [A] : ( v1_int_1(A) => k6_topalg_5(A) = k5_topalg_5(A) ) )).
fof(redefinition_k6_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => k6_topgrp_1(A,B) = k1_topgrp_1(A,B) ) )).
fof(redefinition_k6_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => k6_toprealc(A,B,C) = k7_valued_1(B,C) ) )).
fof(redefinition_k6_trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => k6_trees_2(A,B) = k4_trees_2(B) ) )).
fof(redefinition_k6_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => k6_trees_3(A,B) = k7_funct_3(A,B) ) )).
fof(redefinition_k6_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)))) & m1_subset_1(D,k3_cqc_lang(A)) ) => k6_valuat_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k6_vfunct_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k6_vfunct_1(A,B,C,D) = k1_vfunct_1(A,B,C,D) ) )).
fof(redefinition_k6_waybel35,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k6_waybel35(A,B,C) = k5_waybel35(A,B,C) ) )).
fof(redefinition_k6_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => k6_waybel_5(A,B,C,D) = k1_funct_5(D) ) )).
fof(redefinition_k6_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_orders_2(A) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k6_yellow_3(A,B,C,D) = k2_zfmisc_1(C,D) ) )).
fof(redefinition_k6_yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & l1_struct_0(B) & m3_yellow_6(C,A,B) & m1_subset_1(D,A) ) => k6_yellow_6(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k6_zf_lang1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(A) & m1_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zf_lang) & m1_subset_1(C,k1_zf_lang) ) => k6_zf_lang1(A,B,C) = k5_zf_lang1(A,B,C) ) )).
fof(redefinition_k70_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_valued_2(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => k70_valued_2(A,B,C,D) = k68_valued_2(B,C,D) ) )).
fof(redefinition_k73_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k73_valued_2(A,B,C,D,E,F) = k72_valued_2(C,D,E,F) ) )).
fof(redefinition_k74_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k74_valued_2(A,B,C,D,E,F) = k72_valued_2(C,D,E,F) ) )).
fof(redefinition_k79_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k79_valued_2(A,B,C,D,E,F) = k78_valued_2(C,D,E,F) ) )).
fof(redefinition_k7_abcmiz_a,axiom,( k7_abcmiz_a = k19_abcmiz_1 )).
fof(redefinition_k7_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_int_1(C) ) => k7_aofa_i00(A,B,C) = k7_valued_1(B,C) ) )).
fof(redefinition_k7_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k7_cat_2(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k7_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k7_cat_4(A,B,C) = k3_cat_4(A,B,C) ) )).
fof(redefinition_k7_chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_chain_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(k4_chain_1(A,B,C))) & m1_subset_1(E,k1_zfmisc_1(k4_chain_1(A,B,C))) ) => k7_chain_1(A,B,C,D,E) = k5_xboole_0(D,E) ) )).
fof(redefinition_k7_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_circcmb3(B,A) & m1_circcmb3(C,A) & m2_circcmb3(D,A,B) & m2_circcmb3(E,A,C) ) => k7_circcmb3(A,B,C,D,E) = k3_circcomb(B,C,D,E) ) )).
fof(redefinition_k7_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k7_classes2(A,B,C) = k2_xboole_0(B,C) ) )).
fof(redefinition_k7_clopban1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) & m1_subset_1(C,u1_struct_0(k6_clopban1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k7_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k7_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) & m1_subset_1(D,k6_closure2(A,B)) ) => k7_closure2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k7_complex1,axiom,( k7_complex1 = k1_xcmplx_0 )).
fof(redefinition_k7_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k7_comseq_3(A) = k3_comseq_3(A) ) )).
fof(redefinition_k7_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => k7_cqc_lang(A,B,C) = k14_qc_lang1(A,B,C) ) )).
fof(redefinition_k7_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k7_domain_1(A,B,C) = k2_tarski(B,C) ) )).
fof(redefinition_k7_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & l1_lang1(A) ) => k7_dtconstr(A) = k2_lang1(A) ) )).
fof(redefinition_k7_dynkin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_dynkin(B,A) & m1_subset_1(C,B) ) => k7_dynkin(A,B,C) = k6_dynkin(A,B,C) ) )).
fof(redefinition_k7_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => k7_euclid(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k7_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => k7_finance2(A) = k6_finance2(A) ) )).
fof(redefinition_k7_finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k7_finseqop(A,B,C,D) = k6_finseqop(B,C,D) ) )).
fof(redefinition_k7_fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k7_fomodel3(A,B) = k5_fomodel3(A,B) ) )).
fof(redefinition_k7_funcop_1,axiom,( ! [A] : ! [B] : k7_funcop_1(A,B) = k2_funcop_1(A,B) )).
fof(redefinition_k7_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k7_funct_4(A,B,C,D) = k1_funct_4(C,D) ) )).
fof(redefinition_k7_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & v11_functor0(C,A,B) & l2_functor0(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => k7_functor0(A,B,C,D,E) = k4_functor0(A,B,C,D,E) ) )).
fof(redefinition_k7_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) ) => k7_genealg1(A,B,C,D) = k1_genealg1(A,B,C,D) ) )).
fof(redefinition_k7_group_1,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_struct_0(A) ) => k7_group_1(A) = k7_struct_0(A) ) )).
fof(redefinition_k7_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_index_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_index_1(C) & m2_index_1(D,A,B,C) & m1_subset_1(E,A) ) => k7_index_1(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k7_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k7_interva1(A,B) = k1_setfam_1(B) ) )).
fof(redefinition_k7_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k3_rfunct_3(A,B),C)) ) => k7_lexbfs(A,B,C,D) = k1_xtuple_0(D) ) )).
fof(redefinition_k7_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_subset_1(C,A) ) => k7_lfuzzy_0(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k7_margrel1,axiom,( k7_margrel1 = k2_xboolean )).
fof(redefinition_k7_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => k7_matrix_0(A,B,C) = k5_matrix_0(A,B,C) ) )).
fof(redefinition_k7_matrixj1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_matrixj1(C,A) & m1_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k7_matrixj1(A,B,C) = k1_rfinseq(B,C) ) )).
fof(redefinition_k7_matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) & m1_matrixj2(D,A,B) ) => k7_matrixj2(A,B,C,D) = k16_finseq_1(C,D) ) )).
fof(redefinition_k7_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v1_matrix_0(C) & m1_finseq_1(C,k3_finseq_2(A)) ) => k7_matrlin(A,B,C) = k8_pre_poly(B,C) ) )).
fof(redefinition_k7_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_vectsp_4(D,A,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k7_matrlin2(A,B,C,D,E) = k2_matrlin2(D,E) ) )).
fof(redefinition_k7_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) ) => k7_mcart_1(A,B,C,D,E) = k2_xtuple_0(E) ) )).
fof(redefinition_k7_modal_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_modal_1) & m1_subset_1(B,k9_xtuple_0(A)) ) => k7_modal_1(A,B) = k5_trees_2(A,B) ) )).
fof(redefinition_k7_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(G,C) ) => k7_monoid_1(A,B,C,D,E,F,G) = k4_funcop_1(E,F,G) ) )).
fof(redefinition_k7_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m1_msualg_4(D,A,B,C) ) => k7_msafree4(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k7_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => k7_nat_1(A,B,C) = k6_nat_1(B,C) ) )).
fof(redefinition_k7_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => k7_nat_d(A,B) = k1_xreal_0(A,B) ) )).
fof(redefinition_k7_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k7_newton(A) = k2_newton(A) ) )).
fof(redefinition_k7_numpoly1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => k7_numpoly1(A) = k6_numpoly1(A) ) )).
fof(redefinition_k7_ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v3_ordinal1(C) & m1_subset_1(C,A) ) => k7_ordinal4(A,B,C) = k10_ordinal2(B,C) ) )).
fof(redefinition_k7_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & m1_subset_1(D,B) ) => k7_prob_1(A,B,C,D) = k4_xboole_0(C,D) ) )).
fof(redefinition_k7_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m1_subset_1(D,A) & m1_subset_1(E,k4_finseq_2(B,A)) ) => k7_prvect_1(A,B,C,D,E) = k5_funcop_1(C,D,E) ) )).
fof(redefinition_k7_qmax_1,axiom,( ! [A] : ! [B] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) ) => k7_qmax_1(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k7_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => k7_quatern2(A) = k6_quatern2(A) ) )).
fof(redefinition_k7_random_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_random_1(C,A,B) ) => k7_random_1(A,B,C) = k54_valued_1(C) ) )).
fof(redefinition_k7_ranknull,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k7_ranknull(A,B,C,D) = k8_relat_1(C,D) ) )).
fof(redefinition_k7_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k7_relset_1(A,B,C,D) = k7_relat_1(C,D) ) )).
fof(redefinition_k7_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => k7_relset_2(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k7_rfunct_1,axiom,( ! [A] : ! [B] : k7_rfunct_1(A,B) = k4_funct_3(A,B) )).
fof(redefinition_k7_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_membered(B) & m1_subset_1(C,k3_rfunct_3(A,B)) & m1_subset_1(D,k3_rfunct_3(A,B)) ) => k7_rfunct_3(A,B,C,D) = k18_valued_1(C,D) ) )).
fof(redefinition_k7_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) ) => k7_rlvect_2(A,B,C) = k1_valued_1(B,C) ) )).
fof(redefinition_k7_rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k7_rusub_4(A,B,C) = k6_rusub_4(A,B,C) ) )).
fof(redefinition_k7_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) ) => k7_rvsum_1(A,B) = k30_valued_1(B) ) )).
fof(redefinition_k7_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k7_rvsum_2(A,B) = k45_valued_1(A,B) ) )).
fof(redefinition_k7_scmfsa_m,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => k7_scmfsa_m(A,B,C,D) = k2_enumset1(A,B,C,D) ) )).
fof(redefinition_k7_scmringi,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k2_scm_inst) & m1_subset_1(C,u1_struct_0(A)) ) => k7_scmringi(A,B,C) = k10_finseq_1(B,C) ) )).
fof(redefinition_k7_seq_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => k7_seq_4(A,B) = k1_valued_1(A,B) ) )).
fof(redefinition_k7_sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k38_substut1(A)) & m1_subset_1(C,k3_qc_lang1(A)) ) => k7_sublemma(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k7_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k7_subset_1(A,B,C) = k4_xboole_0(B,C) ) )).
fof(redefinition_k7_supinf_2,axiom,( ! [A] : ( v2_membered(A) => k7_supinf_2(A) = k2_xxreal_2(A) ) )).
fof(redefinition_k7_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_borsuk_2(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) ) => k7_topalg_4(A,B,C,D,E,F,G) = k11_mcart_1(G) ) )).
fof(redefinition_k7_topalg_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) & v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) & m1_borsuk_2(C,A,B,B) ) => k7_topalg_7(A,B,C) = k6_topalg_7(A,B,C) ) )).
fof(redefinition_k7_topgrp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => k7_topgrp_1(A,B) = k2_topgrp_1(A,B) ) )).
fof(redefinition_k7_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => k7_toprealc(A,B,C) = k13_valued_1(B,C) ) )).
fof(redefinition_k7_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => k7_trees_3(A,B) = k8_funct_3(A,B) ) )).
fof(redefinition_k7_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,k5_trees_3(A)) ) => k7_trees_4(A,B) = k1_funct_6(B) ) )).
fof(redefinition_k7_valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & v7_ordinal1(C) & m1_valuat_1(D,A,B) & m1_subset_1(E,k8_qc_lang1(A,C)) ) => k7_valuat_1(A,B,C,D,E) = k1_funct_1(D,E) ) )).
fof(redefinition_k7_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k7_waybel_5(A,B,C,D) = k2_funcop_1(C,D) ) )).
fof(redefinition_k7_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k7_yellow_3(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k80_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k80_valued_2(A,B,C,D,E,F) = k78_valued_2(C,D,E,F) ) )).
fof(redefinition_k84_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k84_valued_2(A,B,C,D,E,F) = k83_valued_2(C,D,E,F) ) )).
fof(redefinition_k85_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k85_valued_2(A,B,C,D,E,F) = k83_valued_2(C,D,E,F) ) )).
fof(redefinition_k89_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v4_card_3(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & v3_aofa_000(B) & v4_aofa_000(B) & v5_aofa_000(B) & v6_aofa_000(B) & v2_aofa_i00(B) & l1_unialg_1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) & v1_aofa_i00(D,B,A,C) & m1_aofa_000(D,B,k9_funct_2(A,k4_numbers),C) & m1_subset_1(E,k9_funct_2(A,k4_numbers)) & m1_subset_1(F,u1_struct_0(B)) ) => k89_aofa_i00(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) )).
fof(redefinition_k8_aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k9_funct_2(A,A)) & m1_subset_1(D,k9_funct_2(A,A)) ) => k8_aofa_000(A,B,C,D) = k7_aofa_000(B,C,D) ) )).
fof(redefinition_k8_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u4_struct_0(A)) & m1_subset_1(D,u4_struct_0(B)) ) => k8_cat_2(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k8_cat_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k8_cat_4(A,B,C) = k4_cat_4(A,B,C) ) )).
fof(redefinition_k8_cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => k8_cat_5(A,B) = k2_xtuple_0(B) ) )).
fof(redefinition_k8_catalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => k8_catalg_1(A,B) = k5_catalg_1(B) ) )).
fof(redefinition_k8_closure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_1(C) & v1_funct_2(C,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) & v1_funct_1(D) & v1_funct_2(D,k6_closure2(A,B),k6_closure2(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k6_closure2(A,B),k6_closure2(A,B)))) ) => k8_closure2(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k8_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k8_cohsp_1(A,B,C) = k7_cohsp_1(C) ) )).
fof(redefinition_k8_compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => k8_compos_1(A,B,C) = k7_compos_1(A,B,C) ) )).
fof(redefinition_k8_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k4_ordinal1)) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => k8_comput_1(A,B,C,D) = k1_funct_7(B,C,D) ) )).
fof(redefinition_k8_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k8_comseq_3(A) = k4_comseq_3(A) ) )).
fof(redefinition_k8_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k8_conlat_1(A) = k7_conlat_1(A) ) )).
fof(redefinition_k8_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => k8_cqc_lang(A,B,C) = k2_qc_lang2(A,B,C) ) )).
fof(redefinition_k8_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))),k3_cqc_lang(A))))) & m1_subset_1(C,k3_cqc_lang(A)) ) => k8_cqc_sim1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k8_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => k8_domain_1(A,B,C,D) = k1_enumset1(B,C,D) ) )).
fof(redefinition_k8_dtconstr,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & l1_lang1(A) & m1_subset_1(B,k6_dtconstr(A)) ) => k8_dtconstr(A,B) = k1_trees_4(B) ) )).
fof(redefinition_k8_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k8_eqrel_1(A,B) = k7_eqrel_1(A,B) ) )).
fof(redefinition_k8_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => k8_euclid(A,B,C) = k45_valued_1(B,C) ) )).
fof(redefinition_k8_finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => k8_finseq_1(A,B,C) = k7_finseq_1(B,C) ) )).
fof(redefinition_k8_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_finseq_2(B,A) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(D) ) => k8_finseq_2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k8_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => k8_fomodel4(A,B,C) = k7_fomodel4(A,B,C) ) )).
fof(redefinition_k8_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) ) => k8_funcop_1(A,B,C) = k2_funcop_1(B,C) ) )).
fof(redefinition_k8_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => k8_funct_4(A,B,C,D) = k3_funct_4(C,D) ) )).
fof(redefinition_k8_funct_5,axiom,( k8_funct_5 = k6_funct_5 )).
fof(redefinition_k8_fvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & l2_algstr_0(B) & m1_subset_1(C,k4_finseq_2(A,u1_struct_0(B))) & m1_subset_1(D,k4_finseq_2(A,u1_struct_0(B))) ) => k8_fvsum_1(A,B,C,D) = k7_fvsum_1(B,C,D) ) )).
fof(redefinition_k8_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) ) => k8_genealg1(A,B,C,D,E) = k2_genealg1(A,B,C,D,E) ) )).
fof(redefinition_k8_graph_5,axiom,( k8_graph_5 = k2_arytm_2 )).
fof(redefinition_k8_group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => k8_group_1(A,B,C) = k6_algstr_0(A,B,C) ) )).
fof(redefinition_k8_group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => k8_group_19(A,B,C) = k2_group_12(A,B,C) ) )).
fof(redefinition_k8_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k8_hilbert4(A) = k6_hilbert4(A) ) )).
fof(redefinition_k8_index_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m3_index_1(E,A,B,C,D) ) => k8_index_1(A,B,C,D,E) = k2_xtuple_0(E) ) )).
fof(redefinition_k8_interva1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_interva1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k8_interva1(A,B) = k3_tarski(B) ) )).
fof(redefinition_k8_isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) ) => k8_isocat_2(A,B,C,D,E) = k13_funct_3(D,E) ) )).
fof(redefinition_k8_lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(A,k9_funct_2(C,B))) ) => k8_lexbfs(A,B,C,D) = k2_xtuple_0(D) ) )).
fof(redefinition_k8_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & m1_subset_1(D,A) & m1_subset_1(E,B) ) => k8_lfuzzy_0(A,B,C,D,E) = k1_binop_1(C,D,E) ) )).
fof(redefinition_k8_lpspace1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_xreal_0(B) ) => k8_lpspace1(A,B) = k2_funcop_1(A,B) ) )).
fof(redefinition_k8_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => k8_ltlaxio3(A) = k1_xtuple_0(A) ) )).
fof(redefinition_k8_margrel1,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => k8_margrel1(A) = k3_xboolean(A) ) )).
fof(redefinition_k8_matrix_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m1_finseq_1(B,k3_finseq_2(A)) & v7_ordinal1(C) ) => k8_matrix_0(A,B,C) = k6_matrix_0(A,B,C) ) )).
fof(redefinition_k8_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => k8_matrix_1(A) = k7_matrix_1(A) ) )).
fof(redefinition_k8_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(D,k5_finsub_1(B)) ) => k8_matrix_3(A,B,C,D) = k2_zfmisc_1(C,D) ) )).
fof(redefinition_k8_matrixc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k2_numbers)) & m1_subset_1(C,k4_finseq_2(A,k2_numbers)) ) => k8_matrixc1(A,B,C) = k5_matrixc1(B,C) ) )).
fof(redefinition_k8_matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v1_matrix_0(E) & v2_matrix_0(E,A,B,D) & m1_finseq_1(E,k3_finseq_2(A)) & v1_matrix_0(F) & v2_matrix_0(F,A,C,D) & m1_finseq_1(F,k3_finseq_2(A)) ) => k8_matrlin(A,B,C,D,E,F) = k7_finseq_1(E,F) ) )).
fof(redefinition_k8_matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_vectsp_4(D,A,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => k8_matrlin2(A,B,C,D,E) = k2_matrlin2(D,E) ) )).
fof(redefinition_k8_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) ) => k8_mcart_1(A,B,C,D) = k2_zfmisc_1(C,D) ) )).
fof(redefinition_k8_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_rewrite1(B) & v4_rewrite1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => k8_msafree4(A,B,C) = k2_rewrite1(B,C) ) )).
fof(redefinition_k8_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_abcmiz_1(C,A,B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => k8_msafree5(A,B,C) = k10_abcmiz_a(A,B,C) ) )).
fof(redefinition_k8_msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k1_msaterm(A,B)) & m1_subset_1(D,k9_xtuple_0(C)) ) => k8_msaterm(A,B,C,D) = k5_trees_2(C,D) ) )).
fof(redefinition_k8_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => k8_nat_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k8_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => k8_nat_3(A,B) = k7_nat_3(A,B) ) )).
fof(redefinition_k8_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => k8_ordinal3(A,B) = k10_ordinal2(A,B) ) )).
fof(redefinition_k8_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k8_polynom3(A,B,C) = k1_normsp_1(A,B,C) ) )).
fof(redefinition_k8_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => k8_prelamb(A,B,C) = k3_relat_1(B,C) ) )).
fof(redefinition_k8_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => k8_prob_1(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k8_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_finseq_1(C,B) & v7_ordinal1(D) ) => k8_prob_3(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k8_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & m1_subset_1(B,k4_card_3(A)) & m1_subset_1(C,k9_xtuple_0(A)) ) => k8_prvect_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k8_random_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) & v7_ordinal1(C) ) => k8_random_3(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k8_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k8_relset_1(A,B,C,D) = k8_relat_1(C,D) ) )).
fof(redefinition_k8_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k8_rvsum_1(A,B) = k45_valued_1(A,B) ) )).
fof(redefinition_k8_rvsum_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_card_1(B,A) & m1_finseq_1(B,k2_numbers) & v3_card_1(C,A) & m1_finseq_1(C,k2_numbers) ) => k8_rvsum_2(A,B,C) = k45_valued_1(B,C) ) )).
fof(redefinition_k8_seq_4,axiom,( ! [A] : ! [B] : ( ( m1_finseq_1(A,k2_numbers) & m1_finseq_1(B,k2_numbers) ) => k8_seq_4(A,B) = k45_valued_1(A,B) ) )).
fof(redefinition_k8_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k5_finsub_1(A)) ) => k8_setwiseo(A,B,C,D) = k7_relat_1(C,D) ) )).
fof(redefinition_k8_sublemma,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_sublemma(B,A) & m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) ) => k8_sublemma(A,B) = k1_xtuple_0(B) ) )).
fof(redefinition_k8_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k8_subset_1(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k8_supinf_2,axiom,( ! [A] : ( v2_membered(A) => k8_supinf_2(A) = k1_xxreal_2(A) ) )).
fof(redefinition_k8_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_borsuk_2(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) ) => k8_topalg_4(A,B,C,D,E,F,G) = k12_mcart_1(G) ) )).
fof(redefinition_k8_topalg_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k5_topmetr)) & m1_subset_1(B,u1_struct_0(k5_topmetr)) ) => k8_topalg_7(A,B) = k3_xcmplx_0(A,B) ) )).
fof(redefinition_k8_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & l1_topgrp_1(A) ) => k8_topgrp_1(A) = k3_group_1(A) ) )).
fof(redefinition_k8_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => k8_toprealc(A,B,C) = k24_valued_1(B,C) ) )).
fof(redefinition_k8_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_finseq_1(C,k5_trees_3(A)) ) => k8_trees_4(A,B,C) = k4_trees_4(B,C) ) )).
fof(redefinition_k8_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xcmplx_0(D) ) => k8_valued_1(A,B,C,D) = k7_valued_1(C,D) ) )).
fof(redefinition_k8_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) ) => k8_yellow_3(A,B,C) = k1_xtuple_0(C) ) )).
fof(redefinition_k90_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_valued_2(C) & v1_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k90_valued_2(A,B,C,D,E,F) = k89_valued_2(C,D,E,F) ) )).
fof(redefinition_k91_valued_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_valued_2(C) & v3_valued_2(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => k91_valued_2(A,B,C,D,E,F) = k89_valued_2(C,D,E,F) ) )).
fof(redefinition_k9_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(I,A) ) => k9_aofa_a00(A,B,C,D,E,F,G,H,I) = k8_aofa_a00(B,C,D,E,F,G,H,I) ) )).
fof(redefinition_k9_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_numbers))) & v1_int_1(C) ) => k9_aofa_i00(A,B,C) = k24_valued_1(B,C) ) )).
fof(redefinition_k9_binarith,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & v3_card_1(D,A) & m1_finseq_1(D,C) & v3_card_1(E,B) & m1_finseq_1(E,C) ) => k9_binarith(A,B,C,D,E) = k7_finseq_1(D,E) ) )).
fof(redefinition_k9_bspace,axiom,( ! [A] : k9_bspace(A) = k8_bspace(A) )).
fof(redefinition_k9_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k9_bvfunc_1(A,B,C) = k7_bvfunc_1(B,C) ) )).
fof(redefinition_k9_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) ) => k9_cat_1(A,B,C,D,E) = k3_relat_1(D,E) ) )).
fof(redefinition_k9_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m1_subset_1(E,u4_struct_0(A)) & m1_subset_1(F,u4_struct_0(B)) ) => k9_cat_2(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) )).
fof(redefinition_k9_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k9_catalg_1(A,B,C) = k6_catalg_1(B,C) ) )).
fof(redefinition_k9_classes2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => k9_classes2(A,B,C) = k4_xboole_0(B,C) ) )).
fof(redefinition_k9_compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & m1_subset_1(B,u1_compos_1(A)) ) => k9_compos_1(A,B) = k3_afinsq_1(B) ) )).
fof(redefinition_k9_comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k9_comseq_3(A,B) = k3_relat_1(A,B) ) )).
fof(redefinition_k9_cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => k9_cqc_lang(A,B,C) = k3_qc_lang2(A,B,C) ) )).
fof(redefinition_k9_domain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => k9_domain_1(A,B,C,D,E) = k2_enumset1(B,C,D,E) ) )).
fof(redefinition_k9_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_dtconstr(A) & v3_dtconstr(A) & l1_lang1(A) & m1_subset_1(B,k7_dtconstr(A)) & m2_dtconstr(C,A,B) ) => k9_dtconstr(A,B,C) = k4_trees_4(B,C) ) )).
fof(redefinition_k9_dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(k8_dualsp01(A))) & m1_subset_1(C,u1_struct_0(A)) ) => k9_dualsp01(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k9_ec_pf_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_ec_pf_2(A,5) & m1_subset_1(B,k1_ec_pf_2(A)) & v1_funct_1(C) & v1_funct_2(C,k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B)),k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))))) & m1_subset_1(D,k6_ec_pf_1(A,k2_ec_pf_2(A,B),k3_ec_pf_2(A,B))) ) => k9_ec_pf_2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k9_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => k9_eqrel_1(A,B,C) = k9_relat_1(B,C) ) )).
fof(redefinition_k9_euclid,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & v1_xreal_0(C) ) => k9_euclid(A,B,C) = k24_valued_1(B,C) ) )).
fof(redefinition_k9_filter_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k9_filter_0(A,B) = k8_filter_0(A,B) ) )).
fof(redefinition_k9_filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k9_filter_1(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k9_finseq_1,axiom,( ! [A] : k9_finseq_1(A) = k5_finseq_1(A) )).
fof(redefinition_k9_finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => k9_finseq_4(A,B,C,D,E) = k7_finseq_4(B,C,D,E) ) )).
fof(redefinition_k9_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k9_fomodel0(A) = k8_fomodel0(A) ) )).
fof(redefinition_k9_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v1_xboole_0(B) & v4_fomodel2(C,A) & m1_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => k9_fomodel4(A,B,C) = k4_tarski(B,C) ) )).
fof(redefinition_k9_freealg,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) ) => k9_freealg(A,B) = k8_freealg(A,B) ) )).
fof(redefinition_k9_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_subset_1(E,A) ) => k9_funcop_1(A,B,C,D,E) = k4_funcop_1(C,D,E) ) )).
fof(redefinition_k9_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => k9_funct_2(A,B) = k1_funct_2(A,B) ) )).
fof(redefinition_k9_funct_3,axiom,( ! [A] : ! [B] : k9_funct_3(A,B) = k7_funct_3(A,B) )).
fof(redefinition_k9_funct_5,axiom,( k9_funct_5 = k7_funct_5 )).
fof(redefinition_k9_functor3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => k9_functor3(A,B,C) = k1_functor2(A,B,C) ) )).
fof(redefinition_k9_genealg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_genealg1(B,A) & m1_genealg1(C,A) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) ) => k9_genealg1(A,B,C,D,E,F) = k3_genealg1(A,B,C,D,E,F) ) )).
fof(redefinition_k9_glib_003,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m3_glib_001(B,A) ) => k9_glib_003(A,B) = k8_glib_003(A,B) ) )).
fof(redefinition_k9_glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m2_glib_004(B,A) & v7_ordinal1(C) ) => k9_glib_004(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k9_lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => k9_lattice8(A,B,C,D) = k8_lattice8(A,B,C,D) ) )).
fof(redefinition_k9_lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) & m1_subset_1(C,A) ) => k9_lfuzzy_0(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k9_lopban_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B))) & m1_subset_1(D,u1_struct_0(A)) ) => k9_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k9_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => k9_lopclset(A) = k8_lopclset(A) ) )).
fof(redefinition_k9_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => k9_ltlaxio3(A) = k2_xtuple_0(A) ) )).
fof(redefinition_k9_margrel1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_margrel1) & m1_subset_1(B,k5_margrel1) ) => k9_margrel1(A,B) = k4_xboolean(A,B) ) )).
fof(redefinition_k9_matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,C) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => k9_matrix13(A,B,C,D) = k10_xtuple_0(D) ) )).
fof(redefinition_k9_matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => k9_matrix_3(A,B,C,D,E,F) = k6_finseqop(D,E,F) ) )).
fof(redefinition_k9_matrix_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k9_matrix_5(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k9_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(C)) ) => k9_mcart_1(A,B,C,D,E,F) = k3_zfmisc_1(D,E,F) ) )).
fof(redefinition_k9_measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k9_measure8(A,B,C) = k6_measure8(A,B,C) ) )).
fof(redefinition_k9_mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers))))) & v7_ordinal1(C) ) => k9_mesfunc9(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k9_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_abcmiz_1(C,A,B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => k9_msafree5(A,B,C) = k11_abcmiz_a(A,B,C) ) )).
fof(redefinition_k9_nat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,k4_ordinal1),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1),A))) & m1_subset_1(C,A) & v7_ordinal1(D) ) => k9_nat_1(A,B,C,D) = k1_binop_1(B,C,D) ) )).
fof(redefinition_k9_normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => k9_normsp_3(A,B) = k2_dualsp01(B) ) )).
fof(redefinition_k9_ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(A) & v3_ordinal1(B) & v7_ordinal1(B) ) => k9_ordinal3(A,B) = k11_ordinal2(A,B) ) )).
fof(redefinition_k9_osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => k9_osafree(A,B,C) = k3_osafree(A,B,C) ) )).
fof(redefinition_k9_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_pcs_0(A) & ~ v2_struct_0(B) & l1_pcs_0(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => k9_pcs_0(A,B,C,D) = k4_tarski(C,D) ) )).
fof(redefinition_k9_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(C) & m1_finseq_2(C,A) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => k9_pre_poly(A,B,C,D,E) = k7_partfun1(C,D,E) ) )).
fof(redefinition_k9_prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_finseq_1(C,B) & m2_prob_1(D,A,B) ) => k9_prob_3(A,B,C,D) = k3_relat_1(C,D) ) )).
fof(redefinition_k9_prvect_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m1_prvect_1(B,A) & m1_subset_1(C,k4_finseq_1(A)) ) => k9_prvect_1(A,B,C) = k1_funct_1(B,C) ) )).
fof(redefinition_k9_rvsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_finseq_2(A,k1_numbers)) & m1_subset_1(C,k4_finseq_2(A,k1_numbers)) ) => k9_rvsum_1(A,B,C) = k45_valued_1(B,C) ) )).
fof(redefinition_k9_rvsum_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) & v1_xcmplx_0(B) ) => k9_rvsum_2(A,B) = k24_valued_1(A,B) ) )).
fof(redefinition_k9_scmfsa_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) & m1_subset_1(B,k3_scmfsa_1) ) => k9_scmfsa_1(A,B) = k1_funct_1(A,B) ) )).
fof(redefinition_k9_seq_4,axiom,( ! [A] : ( m1_finseq_1(A,k2_numbers) => k9_seq_4(A) = k30_valued_1(A) ) )).
fof(redefinition_k9_setfam_1,axiom,( ! [A] : k9_setfam_1(A) = k1_zfmisc_1(A) )).
fof(redefinition_k9_simplex0,axiom,( ! [A] : ( v7_ordinal1(A) => k9_simplex0(A) = k2_xxreal_3(A) ) )).
fof(redefinition_k9_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k9_subset_1(A,B,C) = k3_xboole_0(B,C) ) )).
fof(redefinition_k9_supinf_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k9_supinf_2(A,B,C) = k10_xtuple_0(C) ) )).
fof(redefinition_k9_topalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_borsuk_2(E,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D),k4_borsuk_1(A,B,C,D)) ) => k9_topalg_4(A,B,C,D,E) = k11_mcart_1(E) ) )).
fof(redefinition_k9_toprealc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & v1_xreal_0(C) ) => k9_toprealc(A,B,C) = k14_valued_2(B,C) ) )).
fof(redefinition_k9_valued_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_membered(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_xreal_0(D) ) => k9_valued_1(A,B,C,D) = k7_valued_1(C,D) ) )).
fof(redefinition_k9_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) ) => k9_yellow_3(A,B,C) = k2_xtuple_0(C) ) )).
fof(redefinition_m1_armstrng,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => ! [C] : ( m1_armstrng(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_autalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_autalg_1(A,B,B))) ) => ! [D] : ( m1_autalg_1(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m1_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) ) => ! [B] : ( m1_bintree2(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m1_bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => ! [C] : ( m1_bvfunc_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_bvfunc_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_eqrel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) => ! [C] : ( m1_bvfunc_2(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_card_lar,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_card_lar(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => ! [B] : ( m1_cat_5(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m1_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => ! [D] : ( m1_closure2(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m1_complfld,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_complfld)) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_complfld(C,A,B) <=> m1_comptrig(C,A,B) ) ) )).
fof(redefinition_m1_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_rfunct_3(C,A,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ! [E] : ( m1_comput_1(E,A,B,C,D) <=> m1_subset_1(E,D) ) ) )).
fof(redefinition_m1_dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_dtconstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_trees_3(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( m1_dtconstr(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m1_fomodel0,axiom,( ! [A] : ! [B] : ( m1_fomodel0(B,A) <=> m1_finseq_1(B,A) ) )).
fof(redefinition_m1_glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_glib_004(A))) ) => ! [C] : ( m1_glib_004(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_finseq_2(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( m1_graph_3(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m1_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_finseq_2(A))) ) => ! [C] : ( m1_graph_5(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ! [C] : ( m1_group_6(C,A,B) <=> m1_group_2(C,B) ) ) )).
fof(redefinition_m1_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_incproj(B,A) <=> m2_collsp(B,A) ) ) )).
fof(redefinition_m1_ltlaxio4,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_ltlaxio4(B,A) <=> m1_rlaffin3(B,A) ) ) )).
fof(redefinition_m1_matrix_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_matrix_1(A) ) => ! [B] : ( m1_matrix_1(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m1_msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k10_xtuple_0(B)) ) => ! [D] : ( m1_msafree4(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m1_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ! [B] : ( m1_orders_3(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m1_osalg_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & m1_subset_1(B,k7_osalg_1(A)) ) => ! [C] : ( m1_osalg_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_partit_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) ) => ! [C] : ( m1_partit_2(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_petri,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_petri(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m1_pre_poly,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k5_finsub_1(A))) ) => ! [C] : ( m1_pre_poly(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m1_prob_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_3(C,A,B) <=> m1_finseq_1(C,B) ) ) )).
fof(redefinition_m1_pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_partfun1(A,B))) ) => ! [D] : ( m1_pua2mss1(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m1_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m1_trees_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_trees_4(C,A,B) <=> m1_finseq_1(C,B) ) ) )).
fof(redefinition_m2_cat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_cat_2(C,A,B) ) => ! [D] : ( m2_cat_2(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m2_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & m1_conlat_1(B,A) ) => ! [C] : ( m2_conlat_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m2_finseq_1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) <=> m1_finseq_1(B,A) ) )).
fof(redefinition_m2_finseq_2,axiom,( ! [A] : ! [B] : ( m1_finseq_2(B,A) => ! [C] : ( m2_finseq_2(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m2_fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & v10_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( m2_fomodel2(D,A,B,C) <=> m1_fomodel2(D,A,B,C) ) ) )).
fof(redefinition_m2_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_funct_2(C,A,B) ) => ! [D] : ( m2_funct_2(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m2_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_graph_1(B,A) <=> m1_graph_1(B,A) ) ) )).
fof(redefinition_m2_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_grcat_1(A) ) => ! [B] : ( m2_grcat_1(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m2_lmod_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_lmod_7(C,A,B) ) => ! [D] : ( m2_lmod_7(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m2_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_ltlaxio4(C,A,B) <=> m1_rlaffin3(C,B) ) ) )).
fof(redefinition_m2_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_modcat_1(B,A) ) => ! [C] : ( m2_modcat_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m2_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_orders_1(C,A,B) <=> m1_orders_1(C,B) ) ) )).
fof(redefinition_m2_prob_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) ) => ! [D] : ( m2_prob_4(D,A,B,C) <=> m1_prob_4(D,A,B,C) ) ) )).
fof(redefinition_m2_rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & m1_rfunct_3(C,A,B) ) => ! [D] : ( m2_rfunct_3(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m2_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( m2_ringcat1(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m2_rlaffin3,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_rlaffin3(C,A,B) <=> m1_rlaffin3(C,B) ) ) )).
fof(redefinition_m2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_subset_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m2_trees_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_trees_3(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m2_unialg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_unialg_3(B,A) ) => ! [C] : ( m2_unialg_3(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m2_valued_0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [C] : ( m2_valued_0(C,A,B) <=> m1_valued_0(C,B) ) ) )).
fof(redefinition_m2_vectsp_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v1_xboole_0(C) & m1_vectsp_8(C,A,B) ) => ! [D] : ( m2_vectsp_8(D,A,B,C) <=> m1_subset_1(D,C) ) ) )).
fof(redefinition_m3_conlat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) ) => ! [C] : ( m3_conlat_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m3_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_grcat_1(A) ) => ! [B] : ( m3_grcat_1(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m3_msalimit,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_msalimit(A) ) => ! [B] : ( m3_msalimit(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m3_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m3_pnproc_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m3_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v5_ringcat1(A) ) => ! [B] : ( m3_ringcat1(B,A) <=> m1_subset_1(B,A) ) ) )).
fof(redefinition_m3_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m3_topgrp_1(B,A) <=> m2_topgrp_1(B,A) ) ) )).
fof(redefinition_m3_trees_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m3_trees_3(B,A) <=> m2_trees_1(B,A) ) ) )).
fof(redefinition_m4_modcat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m3_modcat_1(B,A) ) => ! [C] : ( m4_modcat_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m5_bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_bcialg_1(B,A) ) => ! [C] : ( m5_bcialg_2(C,A,B) <=> m4_bcialg_2(C,A,B) ) ) )).
fof(redefinition_m5_margrel1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m4_margrel1(B,A) ) => ! [C] : ( m5_margrel1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(redefinition_m5_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m2_monoid_0(B,A) ) => ! [C] : ( m5_monoid_0(C,A,B) <=> m2_monoid_0(C,B) ) ) )).
fof(redefinition_m6_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m3_monoid_0(B,A) ) => ! [C] : ( m6_monoid_0(C,A,B) <=> m2_monoid_0(C,B) ) ) )).
fof(redefinition_m7_monoid_0,axiom,( ! [A] : ! [B] : ( ( l3_algstr_0(A) & m3_monoid_0(B,A) ) => ! [C] : ( m7_monoid_0(C,A,B) <=> m3_monoid_0(C,B) ) ) )).
fof(redefinition_r10_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r10_analmetr(A,B,C) <=> r7_analmetr(A,B,C) ) ) )).
fof(redefinition_r1_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_boolealg(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_borsuk_3,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ( r1_borsuk_3(A,B) <=> r1_t_0topsp(A,B) ) ) )).
fof(redefinition_r1_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_borsuk_6(A,B,C) <=> r1_borsuk_2(A,B,C) ) ) )).
fof(redefinition_r1_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_convex4(B,A) & m1_convex4(C,A) ) => ( r1_convex4(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_exchsort(A,B,C) <=> r2_orders_2(A,B,C) ) ) )).
fof(redefinition_r1_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( r1_filter_2(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( r1_funct_2(A,B,C,D,E,F) <=> E = F ) ) )).
fof(redefinition_r1_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & v15_algstr_0(C) & m1_group_2(C,A) ) => ( r1_group_2(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => ( r1_heyting1(A,B,C) <=> r1_tarski(B,C) ) ) )).
fof(redefinition_r1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ( r1_interva1(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_lattice7,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_lattice7(A,B,C) <=> r1_tarski(B,C) ) ) )).
fof(redefinition_r1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ( r1_lfuzzy_1(A,B,C,D) <=> r1_fuzzy_1(C,D) ) ) )).
fof(redefinition_r1_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_margrel1(A)) & m1_subset_1(C,k2_margrel1(A)) ) => ( r1_margrel1(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_mfold_2,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ( r1_mfold_2(A,B) <=> r1_t_0topsp(A,B) ) ) )).
fof(redefinition_r1_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( r1_nat_d(A,B) <=> r1_int_1(A,B) ) ) )).
fof(redefinition_r1_ordinal1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( r1_ordinal1(A,B) <=> r1_tarski(A,B) ) ) )).
fof(redefinition_r1_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r1_pnproc_1(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( r1_relset_1(A,B,C,D) <=> r1_tarski(C,D) ) ) )).
fof(redefinition_r1_revrot_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) ) => ( r1_revrot_1(A,B,C) <=> r2_finseq_4(B,C) ) ) )).
fof(redefinition_r1_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) ) => ( r1_rlvect_2(A,B,C) <=> B = C ) ) )).
fof(redefinition_r1_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) ) => ( r1_rmod_4(A,B,C,D) <=> C = D ) ) )).
fof(redefinition_r1_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( r1_subset_1(A,B) <=> r1_xboole_0(A,B) ) ) )).
fof(redefinition_r1_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_vectsp_6(D,A,B) ) => ( r1_vectsp_6(A,B,C,D) <=> C = D ) ) )).
fof(redefinition_r1_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_yellow10(A,B,C) <=> r6_waybel_1(A,B,C) ) ) )).
fof(redefinition_r1_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_zmodul02(B,A) & m1_zmodul02(C,A) ) => ( r1_zmodul02(A,B,C) <=> B = C ) ) )).
fof(redefinition_r2_abian,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_abian(A,B,C) <=> r1_abian(B,C) ) ) )).
fof(redefinition_r2_altcat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( r2_altcat_2(A,B,C,D) <=> r1_altcat_2(C,D) ) ) )).
fof(redefinition_r2_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_borsuk_2(A,B,C) <=> r1_borsuk_2(A,B,C) ) ) )).
fof(redefinition_r2_borsuk_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & l1_pre_topc(B) ) => ( r2_borsuk_3(A,B) <=> r1_t_0topsp(A,B) ) ) )).
fof(redefinition_r2_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_clvect_2(A,B,C) <=> r1_clvect_2(A,B,C) ) ) )).
fof(redefinition_r2_compos_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_compos_2(A,B) <=> r1_compos_2(A,B) ) ) )).
fof(redefinition_r2_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => ( r2_euclidlp(A,B,C) <=> r1_euclidlp(A,B,C) ) ) )).
fof(redefinition_r2_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_funct_2(A,B,C,D) <=> C = D ) ) )).
fof(redefinition_r2_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_fuzzy_1(A,B,C) <=> r1_fuzzy_1(B,C) ) ) )).
fof(redefinition_r2_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_gcd_1(A,B,C) <=> r1_gcd_1(A,B,C) ) ) )).
fof(redefinition_r2_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_group_3(A,B,C) <=> r1_group_3(A,B,C) ) ) )).
fof(redefinition_r2_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_group_6(A,B) <=> r1_group_6(A,B) ) ) )).
fof(redefinition_r2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m2_interva1(B,A) & m2_interva1(C,A) ) => ( r2_interva1(A,B,C) <=> B = C ) ) )).
fof(redefinition_r2_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_metric_2(A,B,C) <=> r1_metric_2(A,B,C) ) ) )).
fof(redefinition_r2_necklace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r2_necklace(A,B) <=> r1_necklace(A,B) ) ) )).
fof(redefinition_r2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_pcs_0(A) & l1_pcs_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_pcs_0(A,B,C) <=> r1_pcs_0(A,B,C) ) ) )).
fof(redefinition_r2_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_relset_1(A,B,C,D) <=> C = D ) ) )).
fof(redefinition_r2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( r2_subset_1(A,B) <=> r1_xboole_0(A,B) ) ) )).
fof(redefinition_r2_tarski,axiom,( ! [A] : ! [B] : ( r2_tarski(A,B) <=> r2_hidden(A,B) ) )).
fof(redefinition_r2_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) & v7_topalg_6(C,A) & m1_subset_1(C,k1_topalg_6(A)) ) => ( r2_topalg_6(A,B,C) <=> r1_topalg_6(A,B,C) ) ) )).
fof(redefinition_r2_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tsep_2(A,B,C) <=> r1_tsep_2(A,B,C) ) ) )).
fof(redefinition_r2_wellord2,axiom,( ! [A] : ! [B] : ( r2_wellord2(A,B) <=> r3_tarski(A,B) ) )).
fof(redefinition_r2_yellow_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_yellow_5(A,B,C) <=> r1_yellow_5(A,B,C) ) ) )).
fof(redefinition_r3_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_boolealg(A,B,C) <=> r2_boolealg(A,B,C) ) ) )).
fof(redefinition_r3_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => ( r3_finseq_8(A,B,C) <=> r1_tarski(B,C) ) ) )).
fof(redefinition_r3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ( r3_group_9(A,B,C) <=> r2_group_9(A,B,C) ) ) )).
fof(redefinition_r3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_lattices(A,B,C) <=> r1_lattices(A,B,C) ) ) )).
fof(redefinition_r3_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_metric_2(A,B,C) <=> r1_metric_2(A,B,C) ) ) )).
fof(redefinition_r3_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_orders_2(A,B,C) <=> r1_orders_2(A,B,C) ) ) )).
fof(redefinition_r3_osalg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ( r3_osalg_3(A,B,C) <=> r1_osalg_3(A,B,C) ) ) )).
fof(redefinition_r3_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r3_pboole(A,B,C) <=> r1_pboole(A,B,C) ) ) )).
fof(redefinition_r3_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_yellow_4(A,B,C) <=> r1_yellow_4(A,B,C) ) ) )).
fof(redefinition_r4_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r4_boolealg(A,B,C) <=> r2_boolealg(A,B,C) ) ) )).
fof(redefinition_r4_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => ( r4_borsuk_2(A,B,C,D,E) <=> r3_borsuk_2(A,B,C,D,E) ) ) )).
fof(redefinition_r4_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r4_gcd_1(A,B,C) <=> r3_gcd_1(A,B,C) ) ) )).
fof(redefinition_r4_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r4_group_3(A,B,C) <=> r3_group_3(A,B,C) ) ) )).
fof(redefinition_r4_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r4_tsep_2(A,B,C) <=> r3_tsep_2(A,B,C) ) ) )).
fof(redefinition_r4_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r4_yellow_4(A,B,C) <=> r2_yellow_4(A,B,C) ) ) )).
fof(redefinition_r5_aff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r5_aff_1(A,B,C) <=> r3_aff_1(A,B,C) ) ) )).
fof(redefinition_r5_pua2mss1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ( r5_pua2mss1(A,B) <=> r4_pua2mss1(A,B) ) ) )).
fof(redefinition_r6_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & v15_algstr_0(C) & m1_group_2(C,A) ) => ( r6_group_3(A,B,C) <=> r5_group_3(A,B,C) ) ) )).
fof(redefinition_r6_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & l3_msualg_1(C,A) ) => ( r6_msualg_3(A,B,C) <=> r5_msualg_3(A,B,C) ) ) )).
fof(redefinition_r6_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,B,C) <=> B = C ) ) )).
fof(redefinition_r7_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r7_gcd_1(A,B,C) <=> r6_gcd_1(A,B,C) ) ) )).
fof(redefinition_r8_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( r8_binop_1(A,B,C,D,E) <=> D = E ) ) )).
fof(redefinition_r8_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r8_pboole(A,B,C) <=> B = C ) ) )).
fof(redefinition_r9_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r9_analmetr(A,B,C) <=> r8_analmetr(A,B,C) ) ) )).
fof(reflexivity_r10_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r10_absred_0(A,B,B) ) )).
fof(reflexivity_r11_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r11_absred_0(A,B,B) ) )).
fof(reflexivity_r12_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r12_absred_0(A,B,B) ) )).
fof(reflexivity_r13_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r13_absred_0(A,B,B) ) )).
fof(reflexivity_r1_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => r1_abcmiz_a(A,B,B) ) )).
fof(reflexivity_r1_altcat_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => r1_altcat_2(A,A) ) )).
fof(reflexivity_r1_anproj_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r1_anproj_1(A,B,B) ) )).
fof(reflexivity_r1_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_bhsp_3(A,B,B) ) )).
fof(reflexivity_r1_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r1_boolealg(A,B,B) ) )).
fof(reflexivity_r1_borsuk_3,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => r1_borsuk_3(A,A) ) )).
fof(reflexivity_r1_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r1_borsuk_6(A,B,B) ) )).
fof(reflexivity_r1_bvfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,B,B) ) )).
fof(reflexivity_r1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r1_cat_1(A,B,B) ) )).
fof(reflexivity_r1_circcomb,axiom,( ! [A] : ! [B] : ( ( l1_msualg_1(A) & l1_msualg_1(B) ) => r1_circcomb(A,A) ) )).
fof(reflexivity_r1_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_convex4(B,A) & m1_convex4(C,A) ) => r1_convex4(A,B,B) ) )).
fof(reflexivity_r1_dist_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => r1_dist_1(A,B,B) ) )).
fof(reflexivity_r1_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,k3_ec_pf_1(k9_int_3(A))) & m1_subset_1(C,k3_ec_pf_1(k9_int_3(A))) ) => r1_ec_pf_1(A,B,B) ) )).
fof(reflexivity_r1_endalg,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) & ~ v2_struct_0(B) & v4_vectsp_1(B) & l4_algstr_0(B) ) => r1_endalg(A,A) ) )).
fof(reflexivity_r1_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => r1_filter_1(A,A) ) )).
fof(reflexivity_r1_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => r1_filter_2(A,B,B) ) )).
fof(reflexivity_r1_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => r1_funct_2(A,B,C,D,E,E) ) )).
fof(reflexivity_r1_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => r1_functor0(A,A) ) )).
fof(reflexivity_r1_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & m2_functor0(C,A,B) & m2_functor0(D,A,B) ) => r1_functor2(A,B,C,C) ) )).
fof(reflexivity_r1_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => r1_functor3(A,B,C,C) ) )).
fof(reflexivity_r1_fuzzy_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => r1_fuzzy_1(A,A) ) )).
fof(reflexivity_r1_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) & v1_xcmplx_0(B) & v1_gaussint(B) ) => r1_gaussint(A,A) ) )).
fof(reflexivity_r1_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & v15_algstr_0(C) & m1_group_2(C,A) ) => r1_group_2(A,B,B) ) )).
fof(reflexivity_r1_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => r1_group_6(A,A) ) )).
fof(reflexivity_r1_heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) ) => r1_heyting1(A,B,B) ) )).
fof(reflexivity_r1_int_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => r1_int_1(A,A) ) )).
fof(reflexivity_r1_integra1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_integra1(A,A) ) )).
fof(reflexivity_r1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => r1_interva1(A,B,B) ) )).
fof(reflexivity_r1_isocat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => r1_isocat_1(A,A) ) )).
fof(reflexivity_r1_lattice7,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_lattice7(A,B,B) ) )).
fof(reflexivity_r1_lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => r1_lfuzzy_1(A,B,C,C) ) )).
fof(reflexivity_r1_lmod_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => r1_lmod_6(A,B,B) ) )).
fof(reflexivity_r1_lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r1_lopban_4(A,B,B) ) )).
fof(reflexivity_r1_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_margrel1(A)) & m1_subset_1(C,k2_margrel1(A)) ) => r1_margrel1(A,B,B) ) )).
fof(reflexivity_r1_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => r1_matrix_6(A,B,C,C) ) )).
fof(reflexivity_r1_matrix_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => r1_matrix_8(A,B,C,C) ) )).
fof(reflexivity_r1_msuhom_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) ) => r1_msuhom_1(A,A) ) )).
fof(reflexivity_r1_nat_d,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => r1_nat_d(A,A) ) )).
fof(reflexivity_r1_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => r1_nattra_1(A,B,C,C) ) )).
fof(reflexivity_r1_normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) & ~ v1_xboole_0(B) & v4_finsub_1(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & m1_subset_1(D,k2_zfmisc_1(A,B)) ) => r1_normform(A,B,C,C) ) )).
fof(reflexivity_r1_ordinal1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => r1_ordinal1(A,A) ) )).
fof(reflexivity_r1_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => r1_osalg_1(A,B,B) ) )).
fof(reflexivity_r1_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r1_osalg_4(A,B,B) ) )).
fof(reflexivity_r1_partfun1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => r1_partfun1(A,A) ) )).
fof(reflexivity_r1_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => r1_pnproc_1(A,B,B) ) )).
fof(reflexivity_r1_pzfmisc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r1_pzfmisc1(A,B,B) ) )).
fof(reflexivity_r1_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => r1_relset_1(A,B,C,C) ) )).
fof(reflexivity_r1_ringcat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => r1_ringcat1(A,A) ) )).
fof(reflexivity_r1_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) ) => r1_rlvect_2(A,B,B) ) )).
fof(reflexivity_r1_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) ) => r1_rmod_4(A,B,C,C) ) )).
fof(reflexivity_r1_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_roughs_1(A,B,B) ) )).
fof(reflexivity_r1_rvsum_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => r1_rvsum_3(A,A) ) )).
fof(reflexivity_r1_setfam_1,axiom,( ! [A] : ! [B] : r1_setfam_1(A,A) )).
fof(reflexivity_r1_tarski,axiom,( ! [A] : ! [B] : r1_tarski(A,A) )).
fof(reflexivity_r1_unialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => r1_unialg_2(A,A) ) )).
fof(reflexivity_r1_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_vectsp_6(D,A,B) ) => r1_vectsp_6(A,B,C,C) ) )).
fof(reflexivity_r1_xxreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xxreal_0(A) & v1_xxreal_0(B) ) => r1_xxreal_0(A,A) ) )).
fof(reflexivity_r1_yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => r1_yellow18(A,A) ) )).
fof(reflexivity_r1_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_zmodul02(B,A) & m1_zmodul02(C,A) ) => r1_zmodul02(A,B,B) ) )).
fof(reflexivity_r2_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k1_zfmisc_1(k38_abcmiz_1(A))) & m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) ) => r2_abcmiz_a(A,B,B) ) )).
fof(reflexivity_r2_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r2_absred_0(A,B,B) ) )).
fof(reflexivity_r2_altcat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => r2_altcat_2(A,B,C,C) ) )).
fof(reflexivity_r2_altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r2_altcat_3(A,B,B) ) )).
fof(reflexivity_r2_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => r2_arytm_3(A,A) ) )).
fof(reflexivity_r2_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r2_borsuk_2(A,B,B) ) )).
fof(reflexivity_r2_borsuk_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & l1_pre_topc(B) ) => r2_borsuk_3(A,A) ) )).
fof(reflexivity_r2_cat_6,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & v10_cat_6(B) & l1_cat_6(B) ) => r2_cat_6(A,A) ) )).
fof(reflexivity_r2_circtrm1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) ) => r2_circtrm1(A,A) ) )).
fof(reflexivity_r2_classes1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => r2_classes1(A,A) ) )).
fof(reflexivity_r2_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_clvect_2(A,B,B) ) )).
fof(reflexivity_r2_compos_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) ) => r2_compos_2(A,A) ) )).
fof(reflexivity_r2_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => r2_cqc_sim1(A,B,B) ) )).
fof(reflexivity_r2_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_funct_2(A,B,C,C) ) )).
fof(reflexivity_r2_functor2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => r2_functor2(A,B,C,C) ) )).
fof(reflexivity_r2_fuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_fuzzy_1(A,B,B) ) )).
fof(reflexivity_r2_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r2_gcd_1(A,B,B) ) )).
fof(reflexivity_r2_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r2_group_3(A,B,B) ) )).
fof(reflexivity_r2_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => r2_group_6(A,A) ) )).
fof(reflexivity_r2_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => r2_group_9(A,B,B) ) )).
fof(reflexivity_r2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m2_interva1(B,A) & m2_interva1(C,A) ) => r2_interva1(A,B,B) ) )).
fof(reflexivity_r2_isocat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => r2_isocat_1(A,A) ) )).
fof(reflexivity_r2_matrix_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => r2_matrix_8(A,B,C,C) ) )).
fof(reflexivity_r2_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r2_metric_2(A,B,B) ) )).
fof(reflexivity_r2_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => r2_midsp_1(A,B,B) ) )).
fof(reflexivity_r2_modelc_2,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m1_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m1_finseq_1(B,k4_ordinal1) ) => r2_modelc_2(A,A) ) )).
fof(reflexivity_r2_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => r2_nattra_1(A,B,C,C) ) )).
fof(reflexivity_r2_necklace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => r2_necklace(B,B) ) )).
fof(reflexivity_r2_ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => r2_ordinal2(A,A) ) )).
fof(reflexivity_r2_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(C,k3_finseq_2(u1_struct_0(A))) ) => r2_osalg_1(A,B,B) ) )).
fof(reflexivity_r2_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,B,B) ) )).
fof(reflexivity_r2_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => r2_pnproc_1(A,B,B) ) )).
fof(reflexivity_r2_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_finseq_2(A,k4_ordinal1)) & m1_subset_1(C,k4_finseq_2(A,k4_ordinal1)) ) => r2_polynom3(A,B,B) ) )).
fof(reflexivity_r2_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => r2_pre_poly(A,B,B) ) )).
fof(reflexivity_r2_qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) ) => r2_qc_lang2(A,B,B) ) )).
fof(reflexivity_r2_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_relset_1(A,B,C,C) ) )).
fof(reflexivity_r2_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r2_roughs_1(A,B,B) ) )).
fof(reflexivity_r2_setfam_1,axiom,( ! [A] : ! [B] : r2_setfam_1(B,B) )).
fof(reflexivity_r2_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => r2_stacks_1(A,B,B) ) )).
fof(reflexivity_r2_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) & v7_topalg_6(C,A) & m1_subset_1(C,k1_topalg_6(A)) ) => r2_topalg_6(A,B,B) ) )).
fof(reflexivity_r2_wellord2,axiom,( ! [A] : ! [B] : r2_wellord2(A,A) )).
fof(reflexivity_r2_zfrefle1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => r2_zfrefle1(A,A) ) )).
fof(reflexivity_r3_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m3_abcmiz_1(B,A) & m3_abcmiz_1(C,A) ) => r3_abcmiz_a(A,B,B) ) )).
fof(reflexivity_r3_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r3_absred_0(A,B,B) ) )).
fof(reflexivity_r3_armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k4_armstrng(A)) & m1_subset_1(C,k4_armstrng(A)) ) => r3_armstrng(A,B,B) ) )).
fof(reflexivity_r3_finseq_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => r3_finseq_8(A,B,B) ) )).
fof(reflexivity_r3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => r3_group_9(A,B,B) ) )).
fof(reflexivity_r3_lattices,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r3_lattices(A,B,B) ) )).
fof(reflexivity_r3_nattra_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) ) => r3_nattra_1(A,B,C,C) ) )).
fof(reflexivity_r3_necklace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => r3_necklace(A,A) ) )).
fof(reflexivity_r3_orders_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r3_orders_2(A,B,B) ) )).
fof(reflexivity_r3_pcs_0,axiom,( ! [A] : ! [B] : ( ( l2_pcs_0(A) & l2_pcs_0(B) ) => r3_pcs_0(A,A) ) )).
fof(reflexivity_r3_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => r3_pre_poly(A,B,B) ) )).
fof(reflexivity_r3_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r3_prelamb(A,B,B) ) )).
fof(reflexivity_r3_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) & m1_subset_1(C,k5_qmax_1(A)) ) => r3_qmax_1(A,B,B) ) )).
fof(reflexivity_r3_roughs_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r3_roughs_1(A,B,B) ) )).
fof(reflexivity_r3_xboole_0,axiom,( ! [A] : ! [B] : r3_xboole_0(A,A) )).
fof(reflexivity_r3_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r3_yellow_4(A,B,B) ) )).
fof(reflexivity_r3_zfrefle1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => r3_zfrefle1(A,A) ) )).
fof(reflexivity_r4_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => r4_borsuk_2(A,B,C,D,D) ) )).
fof(reflexivity_r4_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) ) => r4_cqc_the3(A,B,B) ) )).
fof(reflexivity_r4_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => r4_fsm_1(A,B,C,C) ) )).
fof(reflexivity_r4_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r4_gcd_1(A,B,B) ) )).
fof(reflexivity_r4_graph_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & ~ v2_struct_0(B) & l1_graph_1(B) ) => r4_graph_1(A,A) ) )).
fof(reflexivity_r4_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r4_group_3(A,B,B) ) )).
fof(reflexivity_r4_group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v8_group_9(C,A,B) & m1_finseq_1(C,k6_group_9(A,B)) & v8_group_9(D,A,B) & m1_finseq_1(D,k6_group_9(A,B)) ) => r4_group_9(A,B,C,C) ) )).
fof(reflexivity_r4_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) & m1_subset_1(C,k5_qmax_1(A)) ) => r4_qmax_1(A,B,B) ) )).
fof(reflexivity_r4_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_stacks_1(B) & v3_stacks_1(B) & v4_stacks_1(B) & v5_stacks_1(B) & v6_stacks_1(B) & l1_stacks_1(B) ) => r4_stacks_1(A,A) ) )).
fof(reflexivity_r4_yellow_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r4_yellow_4(A,C,C) ) )).
fof(reflexivity_r5_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => r5_abcmiz_a(A,B,B) ) )).
fof(reflexivity_r5_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => r5_cqc_the3(A,B,B) ) )).
fof(reflexivity_r5_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,u1_struct_0(C)) ) => r5_fsm_1(A,B,C,D,D) ) )).
fof(reflexivity_r5_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => r5_glib_000(A,A) ) )).
fof(reflexivity_r5_pua2mss1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => r5_pua2mss1(A,A) ) )).
fof(reflexivity_r5_waybel_1,axiom,( ! [A] : ! [B] : ( ( l1_orders_2(A) & l1_orders_2(B) ) => r5_waybel_1(A,A) ) )).
fof(reflexivity_r6_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => r6_abcmiz_a(A,B,B) ) )).
fof(reflexivity_r6_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r6_absred_0(A,B,B) ) )).
fof(reflexivity_r6_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => r6_glib_000(A,A) ) )).
fof(reflexivity_r6_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & v15_algstr_0(C) & m1_group_2(C,A) ) => r6_group_3(A,B,B) ) )).
fof(reflexivity_r6_msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & l3_msualg_1(C,A) ) => r6_msualg_3(A,B,B) ) )).
fof(reflexivity_r6_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => r6_osalg_1(A,B,B) ) )).
fof(reflexivity_r6_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r6_pboole(A,B,B) ) )).
fof(reflexivity_r7_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => r7_absred_0(A,B,B) ) )).
fof(reflexivity_r7_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => r7_cqc_the3(A,B,B) ) )).
fof(reflexivity_r7_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => r7_fsm_1(A,B,C,C) ) )).
fof(reflexivity_r7_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r7_pboole(A,B,B) ) )).
fof(reflexivity_r8_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => r8_binop_1(A,B,C,D,D) ) )).
fof(reflexivity_r8_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r8_pboole(A,B,B) ) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0,axiom,( r1_xxreal_0(0,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1,axiom,( r1_xxreal_0(0,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r10,axiom,( r1_xxreal_0(0,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r100,axiom,( r1_xxreal_0(0,100) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r11,axiom,( r1_xxreal_0(0,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r111,axiom,( r1_xxreal_0(0,111) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r112,axiom,( r1_xxreal_0(0,112) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r12,axiom,( r1_xxreal_0(0,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r120,axiom,( r1_xxreal_0(0,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r121,axiom,( r1_xxreal_0(0,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r128,axiom,( r1_xxreal_0(0,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r13,axiom,( r1_xxreal_0(0,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r14,axiom,( r1_xxreal_0(0,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r15,axiom,( r1_xxreal_0(0,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r159,axiom,( r1_xxreal_0(0,159) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r16,axiom,( r1_xxreal_0(0,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r17,axiom,( r1_xxreal_0(0,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r18,axiom,( r1_xxreal_0(0,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r19,axiom,( r1_xxreal_0(0,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2,axiom,( r1_xxreal_0(0,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r20,axiom,( r1_xxreal_0(0,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r21,axiom,( r1_xxreal_0(0,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r22,axiom,( r1_xxreal_0(0,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r23,axiom,( r1_xxreal_0(0,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r24,axiom,( r1_xxreal_0(0,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r25,axiom,( r1_xxreal_0(0,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r256,axiom,( r1_xxreal_0(0,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r257,axiom,( r1_xxreal_0(0,257) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r26,axiom,( r1_xxreal_0(0,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r27,axiom,( r1_xxreal_0(0,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r28,axiom,( r1_xxreal_0(0,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r29,axiom,( r1_xxreal_0(0,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3,axiom,( r1_xxreal_0(0,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r30,axiom,( r1_xxreal_0(0,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r31,axiom,( r1_xxreal_0(0,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r32,axiom,( r1_xxreal_0(0,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r33,axiom,( r1_xxreal_0(0,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r34,axiom,( r1_xxreal_0(0,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r342,axiom,( r1_xxreal_0(0,342) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r35,axiom,( r1_xxreal_0(0,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r36,axiom,( r1_xxreal_0(0,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r365,axiom,( r1_xxreal_0(0,365) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r37,axiom,( r1_xxreal_0(0,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r38,axiom,( r1_xxreal_0(0,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r39,axiom,( r1_xxreal_0(0,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r4,axiom,( r1_xxreal_0(0,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r40,axiom,( r1_xxreal_0(0,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r400,axiom,( r1_xxreal_0(0,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r41,axiom,( r1_xxreal_0(0,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r42,axiom,( r1_xxreal_0(0,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r43,axiom,( r1_xxreal_0(0,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r44,axiom,( r1_xxreal_0(0,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r45,axiom,( r1_xxreal_0(0,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r46,axiom,( r1_xxreal_0(0,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r47,axiom,( r1_xxreal_0(0,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r48,axiom,( r1_xxreal_0(0,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r49,axiom,( r1_xxreal_0(0,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5,axiom,( r1_xxreal_0(0,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r50,axiom,( r1_xxreal_0(0,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r51,axiom,( r1_xxreal_0(0,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r52,axiom,( r1_xxreal_0(0,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r53,axiom,( r1_xxreal_0(0,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r54,axiom,( r1_xxreal_0(0,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r55,axiom,( r1_xxreal_0(0,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r56,axiom,( r1_xxreal_0(0,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r57,axiom,( r1_xxreal_0(0,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r58,axiom,( r1_xxreal_0(0,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r59,axiom,( r1_xxreal_0(0,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r6,axiom,( r1_xxreal_0(0,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r60,axiom,( r1_xxreal_0(0,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r61,axiom,( r1_xxreal_0(0,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r62,axiom,( r1_xxreal_0(0,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r63,axiom,( r1_xxreal_0(0,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r64,axiom,( r1_xxreal_0(0,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7,axiom,( r1_xxreal_0(0,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r72,axiom,( r1_xxreal_0(0,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r8,axiom,( r1_xxreal_0(0,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r81,axiom,( r1_xxreal_0(0,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r84,axiom,( r1_xxreal_0(0,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r841,axiom,( r1_xxreal_0(0,841) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r9,axiom,( r1_xxreal_0(0,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_r96,axiom,( r1_xxreal_0(0,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm10,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm16,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm3,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm4,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm44,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm5,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm6,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm7,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm8,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm9,axiom,( ~ r1_xxreal_0(0,k4_xcmplx_0(9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn159d100,axiom,( r1_xxreal_0(0,k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn16d7,axiom,( r1_xxreal_0(0,k7_xcmplx_0(16,7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn16d9,axiom,( r1_xxreal_0(0,k7_xcmplx_0(16,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d100,axiom,( r1_xxreal_0(0,k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d16,axiom,( r1_xxreal_0(0,k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d2,axiom,( r1_xxreal_0(0,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d3,axiom,( r1_xxreal_0(0,k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d4,axiom,( r1_xxreal_0(0,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d6,axiom,( r1_xxreal_0(0,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d8,axiom,( r1_xxreal_0(0,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn20d9,axiom,( r1_xxreal_0(0,k7_xcmplx_0(20,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn256d49,axiom,( r1_xxreal_0(0,k7_xcmplx_0(256,49)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn25d16,axiom,( r1_xxreal_0(0,k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn25d36,axiom,( r1_xxreal_0(0,k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn25d4,axiom,( r1_xxreal_0(0,k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn2d3,axiom,( r1_xxreal_0(0,k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn2d9,axiom,( r1_xxreal_0(0,k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d2,axiom,( r1_xxreal_0(0,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d4,axiom,( r1_xxreal_0(0,k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d5,axiom,( r1_xxreal_0(0,k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn400d81,axiom,( r1_xxreal_0(0,k7_xcmplx_0(400,81)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn49d9,axiom,( r1_xxreal_0(0,k7_xcmplx_0(49,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn4d3,axiom,( r1_xxreal_0(0,k7_xcmplx_0(4,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn4d5,axiom,( r1_xxreal_0(0,k7_xcmplx_0(4,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn5d2,axiom,( r1_xxreal_0(0,k7_xcmplx_0(5,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn5d4,axiom,( r1_xxreal_0(0,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn5d6,axiom,( r1_xxreal_0(0,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn7d3,axiom,( r1_xxreal_0(0,k7_xcmplx_0(7,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn9d10,axiom,( r1_xxreal_0(0,k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn9d16,axiom,( r1_xxreal_0(0,k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn9d4,axiom,( r1_xxreal_0(0,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm159d100,axiom,( ~ r1_xxreal_0(0,k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2,axiom,( ~ r1_xxreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3,axiom,( ~ r1_xxreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d4,axiom,( ~ r1_xxreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d6,axiom,( ~ r1_xxreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r0,axiom,( ~ r1_xxreal_0(100,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r1,axiom,( ~ r1_xxreal_0(100,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r10,axiom,( ~ r1_xxreal_0(100,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r100,axiom,( r1_xxreal_0(100,100) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r159,axiom,( r1_xxreal_0(100,159) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r2,axiom,( ~ r1_xxreal_0(100,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r20,axiom,( ~ r1_xxreal_0(100,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r3,axiom,( ~ r1_xxreal_0(100,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r5,axiom,( ~ r1_xxreal_0(100,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r50,axiom,( ~ r1_xxreal_0(100,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_r6,axiom,( ~ r1_xxreal_0(100,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_rn159d100,axiom,( ~ r1_xxreal_0(100,k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_rn1d100,axiom,( ~ r1_xxreal_0(100,k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_rn1d2,axiom,( ~ r1_xxreal_0(100,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r100_rnm159d100,axiom,( ~ r1_xxreal_0(100,k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r0,axiom,( ~ r1_xxreal_0(101,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r1,axiom,( ~ r1_xxreal_0(101,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r10,axiom,( ~ r1_xxreal_0(101,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r100,axiom,( ~ r1_xxreal_0(101,100) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r11,axiom,( ~ r1_xxreal_0(101,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r13,axiom,( ~ r1_xxreal_0(101,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r14,axiom,( ~ r1_xxreal_0(101,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r16,axiom,( ~ r1_xxreal_0(101,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r17,axiom,( ~ r1_xxreal_0(101,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r19,axiom,( ~ r1_xxreal_0(101,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r2,axiom,( ~ r1_xxreal_0(101,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r20,axiom,( ~ r1_xxreal_0(101,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r23,axiom,( ~ r1_xxreal_0(101,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r3,axiom,( ~ r1_xxreal_0(101,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r33,axiom,( ~ r1_xxreal_0(101,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r4,axiom,( ~ r1_xxreal_0(101,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r5,axiom,( ~ r1_xxreal_0(101,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r50,axiom,( ~ r1_xxreal_0(101,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r6,axiom,( ~ r1_xxreal_0(101,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r7,axiom,( ~ r1_xxreal_0(101,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r85,axiom,( ~ r1_xxreal_0(101,85) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r9,axiom,( ~ r1_xxreal_0(101,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r91,axiom,( ~ r1_xxreal_0(101,91) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r92,axiom,( ~ r1_xxreal_0(101,92) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r95,axiom,( ~ r1_xxreal_0(101,95) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r98,axiom,( ~ r1_xxreal_0(101,98) )).
fof(rqLessOrEqual__r1_xxreal_0__r101_r99,axiom,( ~ r1_xxreal_0(101,99) )).
fof(rqLessOrEqual__r1_xxreal_0__r105_r0,axiom,( ~ r1_xxreal_0(105,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r105_r2,axiom,( ~ r1_xxreal_0(105,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r105_r3,axiom,( ~ r1_xxreal_0(105,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r0,axiom,( ~ r1_xxreal_0(108,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r1,axiom,( ~ r1_xxreal_0(108,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r2,axiom,( ~ r1_xxreal_0(108,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r24,axiom,( ~ r1_xxreal_0(108,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r27,axiom,( ~ r1_xxreal_0(108,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r3,axiom,( ~ r1_xxreal_0(108,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r4,axiom,( ~ r1_xxreal_0(108,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r48,axiom,( ~ r1_xxreal_0(108,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r6,axiom,( ~ r1_xxreal_0(108,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r64,axiom,( ~ r1_xxreal_0(108,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_r8,axiom,( ~ r1_xxreal_0(108,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_rm44,axiom,( ~ r1_xxreal_0(108,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r108_rn1d24,axiom,( ~ r1_xxreal_0(108,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r0,axiom,( ~ r1_xxreal_0(10,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r1,axiom,( ~ r1_xxreal_0(10,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r10,axiom,( r1_xxreal_0(10,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r11,axiom,( r1_xxreal_0(10,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r12,axiom,( r1_xxreal_0(10,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r13,axiom,( r1_xxreal_0(10,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r14,axiom,( r1_xxreal_0(10,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r15,axiom,( r1_xxreal_0(10,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r16,axiom,( r1_xxreal_0(10,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r17,axiom,( r1_xxreal_0(10,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r18,axiom,( r1_xxreal_0(10,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r19,axiom,( r1_xxreal_0(10,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2,axiom,( ~ r1_xxreal_0(10,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r20,axiom,( r1_xxreal_0(10,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r21,axiom,( r1_xxreal_0(10,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r22,axiom,( r1_xxreal_0(10,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r23,axiom,( r1_xxreal_0(10,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r24,axiom,( r1_xxreal_0(10,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r25,axiom,( r1_xxreal_0(10,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r26,axiom,( r1_xxreal_0(10,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r27,axiom,( r1_xxreal_0(10,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r28,axiom,( r1_xxreal_0(10,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r29,axiom,( r1_xxreal_0(10,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r3,axiom,( ~ r1_xxreal_0(10,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r30,axiom,( r1_xxreal_0(10,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r31,axiom,( r1_xxreal_0(10,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r32,axiom,( r1_xxreal_0(10,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r33,axiom,( r1_xxreal_0(10,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r34,axiom,( r1_xxreal_0(10,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r35,axiom,( r1_xxreal_0(10,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r36,axiom,( r1_xxreal_0(10,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r37,axiom,( r1_xxreal_0(10,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r38,axiom,( r1_xxreal_0(10,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r39,axiom,( r1_xxreal_0(10,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r4,axiom,( ~ r1_xxreal_0(10,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r40,axiom,( r1_xxreal_0(10,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r400,axiom,( r1_xxreal_0(10,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r41,axiom,( r1_xxreal_0(10,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r42,axiom,( r1_xxreal_0(10,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r43,axiom,( r1_xxreal_0(10,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r44,axiom,( r1_xxreal_0(10,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r45,axiom,( r1_xxreal_0(10,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r46,axiom,( r1_xxreal_0(10,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r47,axiom,( r1_xxreal_0(10,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r48,axiom,( r1_xxreal_0(10,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r49,axiom,( r1_xxreal_0(10,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r5,axiom,( ~ r1_xxreal_0(10,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r50,axiom,( r1_xxreal_0(10,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r51,axiom,( r1_xxreal_0(10,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r52,axiom,( r1_xxreal_0(10,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r53,axiom,( r1_xxreal_0(10,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r54,axiom,( r1_xxreal_0(10,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r55,axiom,( r1_xxreal_0(10,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r56,axiom,( r1_xxreal_0(10,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r57,axiom,( r1_xxreal_0(10,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r58,axiom,( r1_xxreal_0(10,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r59,axiom,( r1_xxreal_0(10,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r6,axiom,( ~ r1_xxreal_0(10,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r60,axiom,( r1_xxreal_0(10,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r61,axiom,( r1_xxreal_0(10,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r62,axiom,( r1_xxreal_0(10,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r63,axiom,( r1_xxreal_0(10,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r64,axiom,( r1_xxreal_0(10,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r7,axiom,( ~ r1_xxreal_0(10,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r8,axiom,( ~ r1_xxreal_0(10,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_r9,axiom,( ~ r1_xxreal_0(10,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm1,axiom,( ~ r1_xxreal_0(10,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm10,axiom,( ~ r1_xxreal_0(10,k4_xcmplx_0(10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm3,axiom,( ~ r1_xxreal_0(10,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn14d3,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(14,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn15d2,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(15,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn1d2,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn1d8,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn26d3,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(26,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn3d2,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn3d5,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn7d2,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn9d10,axiom,( ~ r1_xxreal_0(10,k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r110_r0,axiom,( ~ r1_xxreal_0(110,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r110_r1,axiom,( ~ r1_xxreal_0(110,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r110_r10,axiom,( ~ r1_xxreal_0(110,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r110_r11,axiom,( ~ r1_xxreal_0(110,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r110_r2,axiom,( ~ r1_xxreal_0(110,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r110_r3,axiom,( ~ r1_xxreal_0(110,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r110_r37,axiom,( ~ r1_xxreal_0(110,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r0,axiom,( ~ r1_xxreal_0(111,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r1,axiom,( ~ r1_xxreal_0(111,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r10,axiom,( ~ r1_xxreal_0(111,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r11,axiom,( ~ r1_xxreal_0(111,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r110,axiom,( ~ r1_xxreal_0(111,110) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r111,axiom,( r1_xxreal_0(111,111) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r112,axiom,( r1_xxreal_0(111,112) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r2,axiom,( ~ r1_xxreal_0(111,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r3,axiom,( ~ r1_xxreal_0(111,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r111_r37,axiom,( ~ r1_xxreal_0(111,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r112_r112,axiom,( r1_xxreal_0(112,112) )).
fof(rqLessOrEqual__r1_xxreal_0__r112_r40,axiom,( ~ r1_xxreal_0(112,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r0,axiom,( ~ r1_xxreal_0(11,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r1,axiom,( ~ r1_xxreal_0(11,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r10,axiom,( ~ r1_xxreal_0(11,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r11,axiom,( r1_xxreal_0(11,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r12,axiom,( r1_xxreal_0(11,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r13,axiom,( r1_xxreal_0(11,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r14,axiom,( r1_xxreal_0(11,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r15,axiom,( r1_xxreal_0(11,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r16,axiom,( r1_xxreal_0(11,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r17,axiom,( r1_xxreal_0(11,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r18,axiom,( r1_xxreal_0(11,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r19,axiom,( r1_xxreal_0(11,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r2,axiom,( ~ r1_xxreal_0(11,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r20,axiom,( r1_xxreal_0(11,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r21,axiom,( r1_xxreal_0(11,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r22,axiom,( r1_xxreal_0(11,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r23,axiom,( r1_xxreal_0(11,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r24,axiom,( r1_xxreal_0(11,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r25,axiom,( r1_xxreal_0(11,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r26,axiom,( r1_xxreal_0(11,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r27,axiom,( r1_xxreal_0(11,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r28,axiom,( r1_xxreal_0(11,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r29,axiom,( r1_xxreal_0(11,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r3,axiom,( ~ r1_xxreal_0(11,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r30,axiom,( r1_xxreal_0(11,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r31,axiom,( r1_xxreal_0(11,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r32,axiom,( r1_xxreal_0(11,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r33,axiom,( r1_xxreal_0(11,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r34,axiom,( r1_xxreal_0(11,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r35,axiom,( r1_xxreal_0(11,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r36,axiom,( r1_xxreal_0(11,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r37,axiom,( r1_xxreal_0(11,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r38,axiom,( r1_xxreal_0(11,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r39,axiom,( r1_xxreal_0(11,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r4,axiom,( ~ r1_xxreal_0(11,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r40,axiom,( r1_xxreal_0(11,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r41,axiom,( r1_xxreal_0(11,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r42,axiom,( r1_xxreal_0(11,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r43,axiom,( r1_xxreal_0(11,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r44,axiom,( r1_xxreal_0(11,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r45,axiom,( r1_xxreal_0(11,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r46,axiom,( r1_xxreal_0(11,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r47,axiom,( r1_xxreal_0(11,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r48,axiom,( r1_xxreal_0(11,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r49,axiom,( r1_xxreal_0(11,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r5,axiom,( ~ r1_xxreal_0(11,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r50,axiom,( r1_xxreal_0(11,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r51,axiom,( r1_xxreal_0(11,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r52,axiom,( r1_xxreal_0(11,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r53,axiom,( r1_xxreal_0(11,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r54,axiom,( r1_xxreal_0(11,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r55,axiom,( r1_xxreal_0(11,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r56,axiom,( r1_xxreal_0(11,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r57,axiom,( r1_xxreal_0(11,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r58,axiom,( r1_xxreal_0(11,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r59,axiom,( r1_xxreal_0(11,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r6,axiom,( ~ r1_xxreal_0(11,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r60,axiom,( r1_xxreal_0(11,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r61,axiom,( r1_xxreal_0(11,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r62,axiom,( r1_xxreal_0(11,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r63,axiom,( r1_xxreal_0(11,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r64,axiom,( r1_xxreal_0(11,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r7,axiom,( ~ r1_xxreal_0(11,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r8,axiom,( ~ r1_xxreal_0(11,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_r9,axiom,( ~ r1_xxreal_0(11,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r11_rm1,axiom,( ~ r1_xxreal_0(11,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r0,axiom,( ~ r1_xxreal_0(120,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r1,axiom,( ~ r1_xxreal_0(120,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r120,axiom,( r1_xxreal_0(120,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r121,axiom,( r1_xxreal_0(120,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r128,axiom,( r1_xxreal_0(120,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r24,axiom,( ~ r1_xxreal_0(120,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r3,axiom,( ~ r1_xxreal_0(120,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r32,axiom,( ~ r1_xxreal_0(120,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r4,axiom,( ~ r1_xxreal_0(120,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r5,axiom,( ~ r1_xxreal_0(120,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r8,axiom,( ~ r1_xxreal_0(120,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_r96,axiom,( ~ r1_xxreal_0(120,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_rn15d32,axiom,( ~ r1_xxreal_0(120,k7_xcmplx_0(15,32)) )).
fof(rqLessOrEqual__r1_xxreal_0__r120_rn1d256,axiom,( ~ r1_xxreal_0(120,k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r0,axiom,( ~ r1_xxreal_0(121,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r1,axiom,( ~ r1_xxreal_0(121,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r120,axiom,( ~ r1_xxreal_0(121,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r121,axiom,( r1_xxreal_0(121,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r128,axiom,( r1_xxreal_0(121,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r24,axiom,( ~ r1_xxreal_0(121,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r32,axiom,( ~ r1_xxreal_0(121,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r7,axiom,( ~ r1_xxreal_0(121,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r8,axiom,( ~ r1_xxreal_0(121,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r121_r96,axiom,( ~ r1_xxreal_0(121,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r123_r0,axiom,( ~ r1_xxreal_0(123,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r123_r1,axiom,( ~ r1_xxreal_0(123,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r123_r14,axiom,( ~ r1_xxreal_0(123,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r123_r2,axiom,( ~ r1_xxreal_0(123,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r123_r4,axiom,( ~ r1_xxreal_0(123,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r125_r0,axiom,( ~ r1_xxreal_0(125,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r125_r1,axiom,( ~ r1_xxreal_0(125,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r125_r2,axiom,( ~ r1_xxreal_0(125,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r125_r25,axiom,( ~ r1_xxreal_0(125,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r125_r3,axiom,( ~ r1_xxreal_0(125,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r125_r32,axiom,( ~ r1_xxreal_0(125,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r125_r5,axiom,( ~ r1_xxreal_0(125,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r126_r0,axiom,( ~ r1_xxreal_0(126,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r126_r1,axiom,( ~ r1_xxreal_0(126,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r126_r5,axiom,( ~ r1_xxreal_0(126,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r0,axiom,( ~ r1_xxreal_0(128,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r1,axiom,( ~ r1_xxreal_0(128,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r120,axiom,( ~ r1_xxreal_0(128,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r121,axiom,( ~ r1_xxreal_0(128,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r128,axiom,( r1_xxreal_0(128,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r129,axiom,( r1_xxreal_0(128,129) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r2,axiom,( ~ r1_xxreal_0(128,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r32,axiom,( ~ r1_xxreal_0(128,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r4,axiom,( ~ r1_xxreal_0(128,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r5,axiom,( ~ r1_xxreal_0(128,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r6,axiom,( ~ r1_xxreal_0(128,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r64,axiom,( ~ r1_xxreal_0(128,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r7,axiom,( ~ r1_xxreal_0(128,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r128_r8,axiom,( ~ r1_xxreal_0(128,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r0,axiom,( ~ r1_xxreal_0(129,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r1,axiom,( ~ r1_xxreal_0(129,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r10,axiom,( ~ r1_xxreal_0(129,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r128,axiom,( ~ r1_xxreal_0(129,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r129,axiom,( r1_xxreal_0(129,129) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r13,axiom,( ~ r1_xxreal_0(129,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r2,axiom,( ~ r1_xxreal_0(129,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r3,axiom,( ~ r1_xxreal_0(129,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r32,axiom,( ~ r1_xxreal_0(129,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_r43,axiom,( ~ r1_xxreal_0(129,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r129_rm1,axiom,( ~ r1_xxreal_0(129,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r0,axiom,( ~ r1_xxreal_0(12,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r1,axiom,( ~ r1_xxreal_0(12,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r10,axiom,( ~ r1_xxreal_0(12,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r11,axiom,( ~ r1_xxreal_0(12,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r111,axiom,( r1_xxreal_0(12,111) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r112,axiom,( r1_xxreal_0(12,112) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r12,axiom,( r1_xxreal_0(12,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r13,axiom,( r1_xxreal_0(12,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r14,axiom,( r1_xxreal_0(12,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r15,axiom,( r1_xxreal_0(12,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r16,axiom,( r1_xxreal_0(12,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r17,axiom,( r1_xxreal_0(12,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r18,axiom,( r1_xxreal_0(12,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r19,axiom,( r1_xxreal_0(12,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r2,axiom,( ~ r1_xxreal_0(12,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r20,axiom,( r1_xxreal_0(12,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r21,axiom,( r1_xxreal_0(12,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r22,axiom,( r1_xxreal_0(12,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r23,axiom,( r1_xxreal_0(12,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r24,axiom,( r1_xxreal_0(12,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r25,axiom,( r1_xxreal_0(12,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r26,axiom,( r1_xxreal_0(12,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r27,axiom,( r1_xxreal_0(12,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r28,axiom,( r1_xxreal_0(12,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r29,axiom,( r1_xxreal_0(12,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r3,axiom,( ~ r1_xxreal_0(12,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r30,axiom,( r1_xxreal_0(12,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r31,axiom,( r1_xxreal_0(12,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r32,axiom,( r1_xxreal_0(12,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r33,axiom,( r1_xxreal_0(12,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r34,axiom,( r1_xxreal_0(12,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r35,axiom,( r1_xxreal_0(12,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r36,axiom,( r1_xxreal_0(12,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r37,axiom,( r1_xxreal_0(12,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r38,axiom,( r1_xxreal_0(12,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r39,axiom,( r1_xxreal_0(12,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r4,axiom,( ~ r1_xxreal_0(12,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r40,axiom,( r1_xxreal_0(12,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r41,axiom,( r1_xxreal_0(12,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r42,axiom,( r1_xxreal_0(12,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r43,axiom,( r1_xxreal_0(12,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r44,axiom,( r1_xxreal_0(12,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r45,axiom,( r1_xxreal_0(12,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r46,axiom,( r1_xxreal_0(12,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r47,axiom,( r1_xxreal_0(12,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r48,axiom,( r1_xxreal_0(12,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r49,axiom,( r1_xxreal_0(12,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r5,axiom,( ~ r1_xxreal_0(12,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r50,axiom,( r1_xxreal_0(12,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r51,axiom,( r1_xxreal_0(12,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r52,axiom,( r1_xxreal_0(12,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r53,axiom,( r1_xxreal_0(12,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r54,axiom,( r1_xxreal_0(12,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r55,axiom,( r1_xxreal_0(12,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r56,axiom,( r1_xxreal_0(12,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r57,axiom,( r1_xxreal_0(12,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r58,axiom,( r1_xxreal_0(12,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r59,axiom,( r1_xxreal_0(12,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r6,axiom,( ~ r1_xxreal_0(12,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r60,axiom,( r1_xxreal_0(12,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r61,axiom,( r1_xxreal_0(12,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r62,axiom,( r1_xxreal_0(12,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r63,axiom,( r1_xxreal_0(12,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r64,axiom,( r1_xxreal_0(12,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r7,axiom,( ~ r1_xxreal_0(12,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r8,axiom,( ~ r1_xxreal_0(12,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r84,axiom,( r1_xxreal_0(12,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_r9,axiom,( ~ r1_xxreal_0(12,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm1,axiom,( ~ r1_xxreal_0(12,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm3,axiom,( ~ r1_xxreal_0(12,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r12_rn1d6,axiom,( ~ r1_xxreal_0(12,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r0,axiom,( ~ r1_xxreal_0(130,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r1,axiom,( ~ r1_xxreal_0(130,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r10,axiom,( ~ r1_xxreal_0(130,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r129,axiom,( ~ r1_xxreal_0(130,129) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r13,axiom,( ~ r1_xxreal_0(130,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r2,axiom,( ~ r1_xxreal_0(130,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r3,axiom,( ~ r1_xxreal_0(130,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r43,axiom,( ~ r1_xxreal_0(130,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_r9,axiom,( ~ r1_xxreal_0(130,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r130_rm1,axiom,( ~ r1_xxreal_0(130,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r132_r0,axiom,( ~ r1_xxreal_0(132,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r132_r11,axiom,( ~ r1_xxreal_0(132,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r132_r12,axiom,( ~ r1_xxreal_0(132,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r132_r7,axiom,( ~ r1_xxreal_0(132,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r133_r0,axiom,( ~ r1_xxreal_0(133,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r133_r19,axiom,( ~ r1_xxreal_0(133,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r133_r6,axiom,( ~ r1_xxreal_0(133,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r133_r7,axiom,( ~ r1_xxreal_0(133,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r135_r0,axiom,( ~ r1_xxreal_0(135,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r135_r27,axiom,( ~ r1_xxreal_0(135,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r135_r4,axiom,( ~ r1_xxreal_0(135,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r135_r5,axiom,( ~ r1_xxreal_0(135,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r0,axiom,( ~ r1_xxreal_0(136,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r1,axiom,( ~ r1_xxreal_0(136,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r17,axiom,( ~ r1_xxreal_0(136,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r2,axiom,( ~ r1_xxreal_0(136,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r25,axiom,( ~ r1_xxreal_0(136,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r3,axiom,( ~ r1_xxreal_0(136,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r4,axiom,( ~ r1_xxreal_0(136,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r71,axiom,( ~ r1_xxreal_0(136,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r8,axiom,( ~ r1_xxreal_0(136,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r81,axiom,( ~ r1_xxreal_0(136,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r136_r83,axiom,( ~ r1_xxreal_0(136,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r0,axiom,( ~ r1_xxreal_0(138,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r1,axiom,( ~ r1_xxreal_0(138,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r2,axiom,( ~ r1_xxreal_0(138,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r23,axiom,( ~ r1_xxreal_0(138,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r3,axiom,( ~ r1_xxreal_0(138,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r46,axiom,( ~ r1_xxreal_0(138,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r6,axiom,( ~ r1_xxreal_0(138,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r138_r69,axiom,( ~ r1_xxreal_0(138,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r0,axiom,( ~ r1_xxreal_0(139,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r1,axiom,( ~ r1_xxreal_0(139,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r10,axiom,( ~ r1_xxreal_0(139,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r11,axiom,( ~ r1_xxreal_0(139,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r12,axiom,( ~ r1_xxreal_0(139,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r13,axiom,( ~ r1_xxreal_0(139,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r130,axiom,( ~ r1_xxreal_0(139,130) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r132,axiom,( ~ r1_xxreal_0(139,132) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r133,axiom,( ~ r1_xxreal_0(139,133) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r135,axiom,( ~ r1_xxreal_0(139,135) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r136,axiom,( ~ r1_xxreal_0(139,136) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r138,axiom,( ~ r1_xxreal_0(139,138) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r17,axiom,( ~ r1_xxreal_0(139,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r18,axiom,( ~ r1_xxreal_0(139,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r19,axiom,( ~ r1_xxreal_0(139,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r2,axiom,( ~ r1_xxreal_0(139,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r23,axiom,( ~ r1_xxreal_0(139,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r27,axiom,( ~ r1_xxreal_0(139,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r3,axiom,( ~ r1_xxreal_0(139,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r4,axiom,( ~ r1_xxreal_0(139,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r46,axiom,( ~ r1_xxreal_0(139,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r5,axiom,( ~ r1_xxreal_0(139,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r6,axiom,( ~ r1_xxreal_0(139,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r69,axiom,( ~ r1_xxreal_0(139,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r7,axiom,( ~ r1_xxreal_0(139,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r8,axiom,( ~ r1_xxreal_0(139,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r139_r9,axiom,( ~ r1_xxreal_0(139,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r0,axiom,( ~ r1_xxreal_0(13,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r1,axiom,( ~ r1_xxreal_0(13,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r10,axiom,( ~ r1_xxreal_0(13,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r11,axiom,( ~ r1_xxreal_0(13,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r12,axiom,( ~ r1_xxreal_0(13,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r13,axiom,( r1_xxreal_0(13,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r14,axiom,( r1_xxreal_0(13,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r15,axiom,( r1_xxreal_0(13,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r16,axiom,( r1_xxreal_0(13,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r17,axiom,( r1_xxreal_0(13,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r18,axiom,( r1_xxreal_0(13,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r19,axiom,( r1_xxreal_0(13,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r2,axiom,( ~ r1_xxreal_0(13,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r20,axiom,( r1_xxreal_0(13,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r21,axiom,( r1_xxreal_0(13,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r22,axiom,( r1_xxreal_0(13,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r23,axiom,( r1_xxreal_0(13,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r24,axiom,( r1_xxreal_0(13,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r25,axiom,( r1_xxreal_0(13,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r26,axiom,( r1_xxreal_0(13,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r27,axiom,( r1_xxreal_0(13,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r28,axiom,( r1_xxreal_0(13,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r29,axiom,( r1_xxreal_0(13,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r3,axiom,( ~ r1_xxreal_0(13,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r30,axiom,( r1_xxreal_0(13,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r31,axiom,( r1_xxreal_0(13,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r32,axiom,( r1_xxreal_0(13,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r33,axiom,( r1_xxreal_0(13,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r34,axiom,( r1_xxreal_0(13,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r35,axiom,( r1_xxreal_0(13,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r36,axiom,( r1_xxreal_0(13,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r37,axiom,( r1_xxreal_0(13,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r38,axiom,( r1_xxreal_0(13,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r39,axiom,( r1_xxreal_0(13,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r4,axiom,( ~ r1_xxreal_0(13,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r40,axiom,( r1_xxreal_0(13,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r41,axiom,( r1_xxreal_0(13,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r42,axiom,( r1_xxreal_0(13,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r43,axiom,( r1_xxreal_0(13,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r44,axiom,( r1_xxreal_0(13,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r45,axiom,( r1_xxreal_0(13,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r46,axiom,( r1_xxreal_0(13,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r47,axiom,( r1_xxreal_0(13,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r48,axiom,( r1_xxreal_0(13,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r49,axiom,( r1_xxreal_0(13,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r5,axiom,( ~ r1_xxreal_0(13,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r50,axiom,( r1_xxreal_0(13,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r51,axiom,( r1_xxreal_0(13,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r52,axiom,( r1_xxreal_0(13,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r53,axiom,( r1_xxreal_0(13,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r54,axiom,( r1_xxreal_0(13,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r55,axiom,( r1_xxreal_0(13,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r56,axiom,( r1_xxreal_0(13,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r57,axiom,( r1_xxreal_0(13,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r58,axiom,( r1_xxreal_0(13,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r59,axiom,( r1_xxreal_0(13,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r6,axiom,( ~ r1_xxreal_0(13,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r60,axiom,( r1_xxreal_0(13,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r61,axiom,( r1_xxreal_0(13,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r62,axiom,( r1_xxreal_0(13,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r63,axiom,( r1_xxreal_0(13,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r64,axiom,( r1_xxreal_0(13,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r7,axiom,( ~ r1_xxreal_0(13,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r8,axiom,( ~ r1_xxreal_0(13,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_r9,axiom,( ~ r1_xxreal_0(13,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_rm1,axiom,( ~ r1_xxreal_0(13,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_rn14d3,axiom,( ~ r1_xxreal_0(13,k7_xcmplx_0(14,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r13_rn26d3,axiom,( ~ r1_xxreal_0(13,k7_xcmplx_0(26,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r140_r0,axiom,( ~ r1_xxreal_0(140,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r140_r1,axiom,( ~ r1_xxreal_0(140,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r140_r10,axiom,( ~ r1_xxreal_0(140,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r140_r14,axiom,( ~ r1_xxreal_0(140,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r140_r2,axiom,( ~ r1_xxreal_0(140,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r140_r3,axiom,( ~ r1_xxreal_0(140,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r140_r47,axiom,( ~ r1_xxreal_0(140,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r0,axiom,( ~ r1_xxreal_0(141,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r1,axiom,( ~ r1_xxreal_0(141,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r10,axiom,( ~ r1_xxreal_0(141,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r14,axiom,( ~ r1_xxreal_0(141,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r140,axiom,( ~ r1_xxreal_0(141,140) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r2,axiom,( ~ r1_xxreal_0(141,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r3,axiom,( ~ r1_xxreal_0(141,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r141_r47,axiom,( ~ r1_xxreal_0(141,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r149_r0,axiom,( ~ r1_xxreal_0(149,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r0,axiom,( ~ r1_xxreal_0(14,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r1,axiom,( ~ r1_xxreal_0(14,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r10,axiom,( ~ r1_xxreal_0(14,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r11,axiom,( ~ r1_xxreal_0(14,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r12,axiom,( ~ r1_xxreal_0(14,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r13,axiom,( ~ r1_xxreal_0(14,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r14,axiom,( r1_xxreal_0(14,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r15,axiom,( r1_xxreal_0(14,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r16,axiom,( r1_xxreal_0(14,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r17,axiom,( r1_xxreal_0(14,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r18,axiom,( r1_xxreal_0(14,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r19,axiom,( r1_xxreal_0(14,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r2,axiom,( ~ r1_xxreal_0(14,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r20,axiom,( r1_xxreal_0(14,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r21,axiom,( r1_xxreal_0(14,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r22,axiom,( r1_xxreal_0(14,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r23,axiom,( r1_xxreal_0(14,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r24,axiom,( r1_xxreal_0(14,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r25,axiom,( r1_xxreal_0(14,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r26,axiom,( r1_xxreal_0(14,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r27,axiom,( r1_xxreal_0(14,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r28,axiom,( r1_xxreal_0(14,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r29,axiom,( r1_xxreal_0(14,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r3,axiom,( ~ r1_xxreal_0(14,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r30,axiom,( r1_xxreal_0(14,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r31,axiom,( r1_xxreal_0(14,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r32,axiom,( r1_xxreal_0(14,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r33,axiom,( r1_xxreal_0(14,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r34,axiom,( r1_xxreal_0(14,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r35,axiom,( r1_xxreal_0(14,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r36,axiom,( r1_xxreal_0(14,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r37,axiom,( r1_xxreal_0(14,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r38,axiom,( r1_xxreal_0(14,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r39,axiom,( r1_xxreal_0(14,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r4,axiom,( ~ r1_xxreal_0(14,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r40,axiom,( r1_xxreal_0(14,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r41,axiom,( r1_xxreal_0(14,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r42,axiom,( r1_xxreal_0(14,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r43,axiom,( r1_xxreal_0(14,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r44,axiom,( r1_xxreal_0(14,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r45,axiom,( r1_xxreal_0(14,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r46,axiom,( r1_xxreal_0(14,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r47,axiom,( r1_xxreal_0(14,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r48,axiom,( r1_xxreal_0(14,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r49,axiom,( r1_xxreal_0(14,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r5,axiom,( ~ r1_xxreal_0(14,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r50,axiom,( r1_xxreal_0(14,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r51,axiom,( r1_xxreal_0(14,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r52,axiom,( r1_xxreal_0(14,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r53,axiom,( r1_xxreal_0(14,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r54,axiom,( r1_xxreal_0(14,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r55,axiom,( r1_xxreal_0(14,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r56,axiom,( r1_xxreal_0(14,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r57,axiom,( r1_xxreal_0(14,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r58,axiom,( r1_xxreal_0(14,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r59,axiom,( r1_xxreal_0(14,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r6,axiom,( ~ r1_xxreal_0(14,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r60,axiom,( r1_xxreal_0(14,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r61,axiom,( r1_xxreal_0(14,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r62,axiom,( r1_xxreal_0(14,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r63,axiom,( r1_xxreal_0(14,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r64,axiom,( r1_xxreal_0(14,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r7,axiom,( ~ r1_xxreal_0(14,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r8,axiom,( ~ r1_xxreal_0(14,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_r9,axiom,( ~ r1_xxreal_0(14,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_rm1,axiom,( ~ r1_xxreal_0(14,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r14_rn1d8,axiom,( ~ r1_xxreal_0(14,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r152_r0,axiom,( ~ r1_xxreal_0(152,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r152_r1,axiom,( ~ r1_xxreal_0(152,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r152_r11,axiom,( ~ r1_xxreal_0(152,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r152_r19,axiom,( ~ r1_xxreal_0(152,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r152_r8,axiom,( ~ r1_xxreal_0(152,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r153_r0,axiom,( ~ r1_xxreal_0(153,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r153_r10,axiom,( ~ r1_xxreal_0(153,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r153_r17,axiom,( ~ r1_xxreal_0(153,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r153_r9,axiom,( ~ r1_xxreal_0(153,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r154_r0,axiom,( ~ r1_xxreal_0(154,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r154_r11,axiom,( ~ r1_xxreal_0(154,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r154_r14,axiom,( ~ r1_xxreal_0(154,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r154_r9,axiom,( ~ r1_xxreal_0(154,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r156_r0,axiom,( ~ r1_xxreal_0(156,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r156_r12,axiom,( ~ r1_xxreal_0(156,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r156_r13,axiom,( ~ r1_xxreal_0(156,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r156_r7,axiom,( ~ r1_xxreal_0(156,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r158_r0,axiom,( ~ r1_xxreal_0(158,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r158_r1,axiom,( ~ r1_xxreal_0(158,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r158_r2,axiom,( ~ r1_xxreal_0(158,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r0,axiom,( ~ r1_xxreal_0(159,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r1,axiom,( ~ r1_xxreal_0(159,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r10,axiom,( ~ r1_xxreal_0(159,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r100,axiom,( ~ r1_xxreal_0(159,100) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r159,axiom,( r1_xxreal_0(159,159) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r16,axiom,( ~ r1_xxreal_0(159,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r2,axiom,( ~ r1_xxreal_0(159,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r3,axiom,( ~ r1_xxreal_0(159,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_r53,axiom,( ~ r1_xxreal_0(159,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_rm1,axiom,( ~ r1_xxreal_0(159,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_rn159d100,axiom,( ~ r1_xxreal_0(159,k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_rn1d100,axiom,( ~ r1_xxreal_0(159,k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_rn1d2,axiom,( ~ r1_xxreal_0(159,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r159_rnm159d100,axiom,( ~ r1_xxreal_0(159,k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r0,axiom,( ~ r1_xxreal_0(15,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r1,axiom,( ~ r1_xxreal_0(15,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r10,axiom,( ~ r1_xxreal_0(15,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r11,axiom,( ~ r1_xxreal_0(15,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r12,axiom,( ~ r1_xxreal_0(15,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r13,axiom,( ~ r1_xxreal_0(15,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r14,axiom,( ~ r1_xxreal_0(15,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r15,axiom,( r1_xxreal_0(15,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r16,axiom,( r1_xxreal_0(15,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r17,axiom,( r1_xxreal_0(15,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r18,axiom,( r1_xxreal_0(15,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r19,axiom,( r1_xxreal_0(15,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r2,axiom,( ~ r1_xxreal_0(15,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r20,axiom,( r1_xxreal_0(15,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r21,axiom,( r1_xxreal_0(15,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r22,axiom,( r1_xxreal_0(15,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r23,axiom,( r1_xxreal_0(15,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r24,axiom,( r1_xxreal_0(15,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r25,axiom,( r1_xxreal_0(15,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r26,axiom,( r1_xxreal_0(15,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r27,axiom,( r1_xxreal_0(15,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r28,axiom,( r1_xxreal_0(15,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r29,axiom,( r1_xxreal_0(15,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r3,axiom,( ~ r1_xxreal_0(15,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r30,axiom,( r1_xxreal_0(15,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r31,axiom,( r1_xxreal_0(15,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r32,axiom,( r1_xxreal_0(15,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r33,axiom,( r1_xxreal_0(15,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r34,axiom,( r1_xxreal_0(15,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r35,axiom,( r1_xxreal_0(15,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r36,axiom,( r1_xxreal_0(15,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r37,axiom,( r1_xxreal_0(15,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r38,axiom,( r1_xxreal_0(15,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r39,axiom,( r1_xxreal_0(15,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r4,axiom,( ~ r1_xxreal_0(15,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r40,axiom,( r1_xxreal_0(15,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r41,axiom,( r1_xxreal_0(15,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r42,axiom,( r1_xxreal_0(15,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r43,axiom,( r1_xxreal_0(15,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r44,axiom,( r1_xxreal_0(15,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r45,axiom,( r1_xxreal_0(15,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r46,axiom,( r1_xxreal_0(15,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r47,axiom,( r1_xxreal_0(15,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r48,axiom,( r1_xxreal_0(15,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r49,axiom,( r1_xxreal_0(15,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r5,axiom,( ~ r1_xxreal_0(15,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r50,axiom,( r1_xxreal_0(15,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r51,axiom,( r1_xxreal_0(15,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r52,axiom,( r1_xxreal_0(15,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r53,axiom,( r1_xxreal_0(15,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r54,axiom,( r1_xxreal_0(15,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r55,axiom,( r1_xxreal_0(15,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r56,axiom,( r1_xxreal_0(15,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r57,axiom,( r1_xxreal_0(15,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r58,axiom,( r1_xxreal_0(15,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r59,axiom,( r1_xxreal_0(15,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r6,axiom,( ~ r1_xxreal_0(15,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r60,axiom,( r1_xxreal_0(15,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r61,axiom,( r1_xxreal_0(15,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r62,axiom,( r1_xxreal_0(15,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r63,axiom,( r1_xxreal_0(15,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r64,axiom,( r1_xxreal_0(15,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r7,axiom,( ~ r1_xxreal_0(15,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r8,axiom,( ~ r1_xxreal_0(15,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_r9,axiom,( ~ r1_xxreal_0(15,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm1,axiom,( ~ r1_xxreal_0(15,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm7,axiom,( ~ r1_xxreal_0(15,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_rn15d2,axiom,( ~ r1_xxreal_0(15,k7_xcmplx_0(15,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r15_rn7d2,axiom,( ~ r1_xxreal_0(15,k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r0,axiom,( ~ r1_xxreal_0(160,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r1,axiom,( ~ r1_xxreal_0(160,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r10,axiom,( ~ r1_xxreal_0(160,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r159,axiom,( ~ r1_xxreal_0(160,159) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r16,axiom,( ~ r1_xxreal_0(160,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r2,axiom,( ~ r1_xxreal_0(160,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r3,axiom,( ~ r1_xxreal_0(160,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r32,axiom,( ~ r1_xxreal_0(160,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r5,axiom,( ~ r1_xxreal_0(160,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_r53,axiom,( ~ r1_xxreal_0(160,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r160_rm1,axiom,( ~ r1_xxreal_0(160,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r161_r0,axiom,( ~ r1_xxreal_0(161,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r161_r2,axiom,( ~ r1_xxreal_0(161,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r161_r23,axiom,( ~ r1_xxreal_0(161,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r161_r7,axiom,( ~ r1_xxreal_0(161,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r162_r0,axiom,( ~ r1_xxreal_0(162,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r162_r1,axiom,( ~ r1_xxreal_0(162,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r162_r2,axiom,( ~ r1_xxreal_0(162,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r162_r3,axiom,( ~ r1_xxreal_0(162,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r162_r54,axiom,( ~ r1_xxreal_0(162,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r162_r81,axiom,( ~ r1_xxreal_0(162,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r0,axiom,( ~ r1_xxreal_0(163,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r1,axiom,( ~ r1_xxreal_0(163,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r10,axiom,( ~ r1_xxreal_0(163,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r11,axiom,( ~ r1_xxreal_0(163,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r12,axiom,( ~ r1_xxreal_0(163,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r13,axiom,( ~ r1_xxreal_0(163,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r14,axiom,( ~ r1_xxreal_0(163,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r152,axiom,( ~ r1_xxreal_0(163,152) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r153,axiom,( ~ r1_xxreal_0(163,153) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r154,axiom,( ~ r1_xxreal_0(163,154) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r156,axiom,( ~ r1_xxreal_0(163,156) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r160,axiom,( ~ r1_xxreal_0(163,160) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r161,axiom,( ~ r1_xxreal_0(163,161) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r162,axiom,( ~ r1_xxreal_0(163,162) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r163,axiom,( r1_xxreal_0(163,163) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r166,axiom,( r1_xxreal_0(163,166) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r17,axiom,( ~ r1_xxreal_0(163,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r19,axiom,( ~ r1_xxreal_0(163,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r2,axiom,( ~ r1_xxreal_0(163,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r23,axiom,( ~ r1_xxreal_0(163,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r3,axiom,( ~ r1_xxreal_0(163,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r317,axiom,( r1_xxreal_0(163,317) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r32,axiom,( ~ r1_xxreal_0(163,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r326,axiom,( r1_xxreal_0(163,326) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r5,axiom,( ~ r1_xxreal_0(163,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r54,axiom,( ~ r1_xxreal_0(163,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r7,axiom,( ~ r1_xxreal_0(163,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r8,axiom,( ~ r1_xxreal_0(163,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r81,axiom,( ~ r1_xxreal_0(163,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r83,axiom,( ~ r1_xxreal_0(163,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r163_r9,axiom,( ~ r1_xxreal_0(163,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r164_r0,axiom,( ~ r1_xxreal_0(164,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r164_r1,axiom,( ~ r1_xxreal_0(164,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r164_r123,axiom,( ~ r1_xxreal_0(164,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r164_r2,axiom,( ~ r1_xxreal_0(164,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r164_r4,axiom,( ~ r1_xxreal_0(164,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r166_r163,axiom,( ~ r1_xxreal_0(166,163) )).
fof(rqLessOrEqual__r1_xxreal_0__r166_r166,axiom,( r1_xxreal_0(166,166) )).
fof(rqLessOrEqual__r1_xxreal_0__r166_r2,axiom,( ~ r1_xxreal_0(166,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r166_r83,axiom,( ~ r1_xxreal_0(166,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r0,axiom,( ~ r1_xxreal_0(16,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r1,axiom,( ~ r1_xxreal_0(16,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r10,axiom,( ~ r1_xxreal_0(16,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r11,axiom,( ~ r1_xxreal_0(16,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r12,axiom,( ~ r1_xxreal_0(16,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r120,axiom,( r1_xxreal_0(16,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r128,axiom,( r1_xxreal_0(16,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r13,axiom,( ~ r1_xxreal_0(16,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r14,axiom,( ~ r1_xxreal_0(16,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r15,axiom,( ~ r1_xxreal_0(16,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r16,axiom,( r1_xxreal_0(16,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r17,axiom,( r1_xxreal_0(16,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r18,axiom,( r1_xxreal_0(16,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r19,axiom,( r1_xxreal_0(16,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r2,axiom,( ~ r1_xxreal_0(16,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r20,axiom,( r1_xxreal_0(16,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r21,axiom,( r1_xxreal_0(16,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r22,axiom,( r1_xxreal_0(16,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r23,axiom,( r1_xxreal_0(16,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r24,axiom,( r1_xxreal_0(16,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r25,axiom,( r1_xxreal_0(16,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r256,axiom,( r1_xxreal_0(16,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r26,axiom,( r1_xxreal_0(16,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r27,axiom,( r1_xxreal_0(16,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r28,axiom,( r1_xxreal_0(16,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r29,axiom,( r1_xxreal_0(16,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r3,axiom,( ~ r1_xxreal_0(16,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r30,axiom,( r1_xxreal_0(16,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r31,axiom,( r1_xxreal_0(16,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r32,axiom,( r1_xxreal_0(16,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r33,axiom,( r1_xxreal_0(16,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r34,axiom,( r1_xxreal_0(16,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r35,axiom,( r1_xxreal_0(16,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r36,axiom,( r1_xxreal_0(16,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r37,axiom,( r1_xxreal_0(16,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r38,axiom,( r1_xxreal_0(16,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r39,axiom,( r1_xxreal_0(16,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r4,axiom,( ~ r1_xxreal_0(16,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r40,axiom,( r1_xxreal_0(16,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r41,axiom,( r1_xxreal_0(16,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r42,axiom,( r1_xxreal_0(16,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r43,axiom,( r1_xxreal_0(16,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r44,axiom,( r1_xxreal_0(16,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r45,axiom,( r1_xxreal_0(16,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r46,axiom,( r1_xxreal_0(16,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r47,axiom,( r1_xxreal_0(16,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r48,axiom,( r1_xxreal_0(16,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r49,axiom,( r1_xxreal_0(16,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r5,axiom,( ~ r1_xxreal_0(16,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r50,axiom,( r1_xxreal_0(16,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r51,axiom,( r1_xxreal_0(16,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r52,axiom,( r1_xxreal_0(16,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r53,axiom,( r1_xxreal_0(16,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r54,axiom,( r1_xxreal_0(16,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r55,axiom,( r1_xxreal_0(16,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r56,axiom,( r1_xxreal_0(16,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r57,axiom,( r1_xxreal_0(16,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r58,axiom,( r1_xxreal_0(16,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r59,axiom,( r1_xxreal_0(16,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r6,axiom,( ~ r1_xxreal_0(16,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r60,axiom,( r1_xxreal_0(16,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r61,axiom,( r1_xxreal_0(16,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r62,axiom,( r1_xxreal_0(16,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r63,axiom,( r1_xxreal_0(16,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r64,axiom,( r1_xxreal_0(16,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r7,axiom,( ~ r1_xxreal_0(16,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r8,axiom,( ~ r1_xxreal_0(16,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r81,axiom,( r1_xxreal_0(16,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r84,axiom,( r1_xxreal_0(16,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r9,axiom,( ~ r1_xxreal_0(16,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_r96,axiom,( r1_xxreal_0(16,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rm1,axiom,( ~ r1_xxreal_0(16,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rm16,axiom,( ~ r1_xxreal_0(16,k4_xcmplx_0(16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn16d7,axiom,( ~ r1_xxreal_0(16,k7_xcmplx_0(16,7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn16d9,axiom,( ~ r1_xxreal_0(16,k7_xcmplx_0(16,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn1d16,axiom,( ~ r1_xxreal_0(16,k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn1d4,axiom,( ~ r1_xxreal_0(16,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn25d16,axiom,( ~ r1_xxreal_0(16,k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn25d4,axiom,( ~ r1_xxreal_0(16,k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn5d4,axiom,( ~ r1_xxreal_0(16,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r16_rn81d5,axiom,( r1_xxreal_0(16,k7_xcmplx_0(81,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r172_r0,axiom,( ~ r1_xxreal_0(172,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r172_r1,axiom,( ~ r1_xxreal_0(172,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r172_r123,axiom,( ~ r1_xxreal_0(172,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r172_r164,axiom,( ~ r1_xxreal_0(172,164) )).
fof(rqLessOrEqual__r1_xxreal_0__r172_r2,axiom,( ~ r1_xxreal_0(172,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r172_r4,axiom,( ~ r1_xxreal_0(172,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r0,axiom,( ~ r1_xxreal_0(17,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r1,axiom,( ~ r1_xxreal_0(17,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r10,axiom,( ~ r1_xxreal_0(17,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r11,axiom,( ~ r1_xxreal_0(17,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r12,axiom,( ~ r1_xxreal_0(17,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r13,axiom,( ~ r1_xxreal_0(17,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r14,axiom,( ~ r1_xxreal_0(17,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r15,axiom,( ~ r1_xxreal_0(17,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r16,axiom,( ~ r1_xxreal_0(17,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r17,axiom,( r1_xxreal_0(17,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r18,axiom,( r1_xxreal_0(17,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r19,axiom,( r1_xxreal_0(17,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r2,axiom,( ~ r1_xxreal_0(17,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r20,axiom,( r1_xxreal_0(17,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r21,axiom,( r1_xxreal_0(17,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r22,axiom,( r1_xxreal_0(17,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r23,axiom,( r1_xxreal_0(17,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r24,axiom,( r1_xxreal_0(17,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r25,axiom,( r1_xxreal_0(17,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r26,axiom,( r1_xxreal_0(17,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r27,axiom,( r1_xxreal_0(17,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r28,axiom,( r1_xxreal_0(17,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r29,axiom,( r1_xxreal_0(17,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r3,axiom,( ~ r1_xxreal_0(17,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r30,axiom,( r1_xxreal_0(17,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r31,axiom,( r1_xxreal_0(17,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r32,axiom,( r1_xxreal_0(17,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r33,axiom,( r1_xxreal_0(17,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r34,axiom,( r1_xxreal_0(17,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r35,axiom,( r1_xxreal_0(17,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r36,axiom,( r1_xxreal_0(17,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r37,axiom,( r1_xxreal_0(17,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r38,axiom,( r1_xxreal_0(17,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r39,axiom,( r1_xxreal_0(17,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r4,axiom,( ~ r1_xxreal_0(17,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r40,axiom,( r1_xxreal_0(17,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r41,axiom,( r1_xxreal_0(17,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r42,axiom,( r1_xxreal_0(17,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r43,axiom,( r1_xxreal_0(17,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r44,axiom,( r1_xxreal_0(17,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r45,axiom,( r1_xxreal_0(17,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r46,axiom,( r1_xxreal_0(17,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r47,axiom,( r1_xxreal_0(17,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r48,axiom,( r1_xxreal_0(17,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r49,axiom,( r1_xxreal_0(17,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r5,axiom,( ~ r1_xxreal_0(17,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r50,axiom,( r1_xxreal_0(17,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r51,axiom,( r1_xxreal_0(17,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r52,axiom,( r1_xxreal_0(17,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r53,axiom,( r1_xxreal_0(17,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r54,axiom,( r1_xxreal_0(17,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r55,axiom,( r1_xxreal_0(17,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r56,axiom,( r1_xxreal_0(17,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r57,axiom,( r1_xxreal_0(17,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r58,axiom,( r1_xxreal_0(17,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r59,axiom,( r1_xxreal_0(17,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r6,axiom,( ~ r1_xxreal_0(17,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r60,axiom,( r1_xxreal_0(17,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r61,axiom,( r1_xxreal_0(17,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r62,axiom,( r1_xxreal_0(17,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r63,axiom,( r1_xxreal_0(17,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r64,axiom,( r1_xxreal_0(17,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r7,axiom,( ~ r1_xxreal_0(17,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r8,axiom,( ~ r1_xxreal_0(17,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_r9,axiom,( ~ r1_xxreal_0(17,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_rn17d4,axiom,( ~ r1_xxreal_0(17,k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r17_rn9d4,axiom,( ~ r1_xxreal_0(17,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r0,axiom,( ~ r1_xxreal_0(18,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r1,axiom,( ~ r1_xxreal_0(18,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r10,axiom,( ~ r1_xxreal_0(18,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r11,axiom,( ~ r1_xxreal_0(18,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r12,axiom,( ~ r1_xxreal_0(18,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r13,axiom,( ~ r1_xxreal_0(18,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r14,axiom,( ~ r1_xxreal_0(18,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r15,axiom,( ~ r1_xxreal_0(18,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r16,axiom,( ~ r1_xxreal_0(18,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r17,axiom,( ~ r1_xxreal_0(18,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r18,axiom,( r1_xxreal_0(18,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r19,axiom,( r1_xxreal_0(18,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r2,axiom,( ~ r1_xxreal_0(18,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r20,axiom,( r1_xxreal_0(18,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r21,axiom,( r1_xxreal_0(18,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r22,axiom,( r1_xxreal_0(18,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r23,axiom,( r1_xxreal_0(18,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r24,axiom,( r1_xxreal_0(18,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r25,axiom,( r1_xxreal_0(18,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r26,axiom,( r1_xxreal_0(18,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r27,axiom,( r1_xxreal_0(18,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r28,axiom,( r1_xxreal_0(18,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r29,axiom,( r1_xxreal_0(18,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r3,axiom,( ~ r1_xxreal_0(18,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r30,axiom,( r1_xxreal_0(18,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r31,axiom,( r1_xxreal_0(18,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r32,axiom,( r1_xxreal_0(18,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r33,axiom,( r1_xxreal_0(18,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r34,axiom,( r1_xxreal_0(18,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r35,axiom,( r1_xxreal_0(18,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r36,axiom,( r1_xxreal_0(18,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r37,axiom,( r1_xxreal_0(18,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r38,axiom,( r1_xxreal_0(18,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r39,axiom,( r1_xxreal_0(18,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r4,axiom,( ~ r1_xxreal_0(18,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r40,axiom,( r1_xxreal_0(18,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r400,axiom,( r1_xxreal_0(18,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r41,axiom,( r1_xxreal_0(18,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r42,axiom,( r1_xxreal_0(18,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r43,axiom,( r1_xxreal_0(18,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r44,axiom,( r1_xxreal_0(18,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r45,axiom,( r1_xxreal_0(18,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r46,axiom,( r1_xxreal_0(18,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r47,axiom,( r1_xxreal_0(18,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r48,axiom,( r1_xxreal_0(18,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r49,axiom,( r1_xxreal_0(18,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r5,axiom,( ~ r1_xxreal_0(18,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r50,axiom,( r1_xxreal_0(18,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r51,axiom,( r1_xxreal_0(18,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r52,axiom,( r1_xxreal_0(18,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r53,axiom,( r1_xxreal_0(18,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r54,axiom,( r1_xxreal_0(18,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r55,axiom,( r1_xxreal_0(18,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r56,axiom,( r1_xxreal_0(18,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r57,axiom,( r1_xxreal_0(18,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r58,axiom,( r1_xxreal_0(18,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r59,axiom,( r1_xxreal_0(18,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r6,axiom,( ~ r1_xxreal_0(18,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r60,axiom,( r1_xxreal_0(18,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r61,axiom,( r1_xxreal_0(18,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r62,axiom,( r1_xxreal_0(18,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r63,axiom,( r1_xxreal_0(18,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r64,axiom,( r1_xxreal_0(18,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r7,axiom,( ~ r1_xxreal_0(18,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r72,axiom,( r1_xxreal_0(18,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r73,axiom,( r1_xxreal_0(18,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r8,axiom,( ~ r1_xxreal_0(18,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r81,axiom,( r1_xxreal_0(18,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r18_r9,axiom,( ~ r1_xxreal_0(18,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r197_r0,axiom,( ~ r1_xxreal_0(197,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r197_r1,axiom,( ~ r1_xxreal_0(197,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r197_r2,axiom,( ~ r1_xxreal_0(197,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r197_r32,axiom,( ~ r1_xxreal_0(197,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r197_r4,axiom,( ~ r1_xxreal_0(197,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r197_r71,axiom,( ~ r1_xxreal_0(197,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r0,axiom,( ~ r1_xxreal_0(19,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r1,axiom,( ~ r1_xxreal_0(19,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r10,axiom,( ~ r1_xxreal_0(19,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r11,axiom,( ~ r1_xxreal_0(19,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r12,axiom,( ~ r1_xxreal_0(19,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r13,axiom,( ~ r1_xxreal_0(19,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r14,axiom,( ~ r1_xxreal_0(19,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r15,axiom,( ~ r1_xxreal_0(19,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r16,axiom,( ~ r1_xxreal_0(19,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r17,axiom,( ~ r1_xxreal_0(19,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r18,axiom,( ~ r1_xxreal_0(19,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r19,axiom,( r1_xxreal_0(19,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r2,axiom,( ~ r1_xxreal_0(19,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r20,axiom,( r1_xxreal_0(19,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r21,axiom,( r1_xxreal_0(19,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r22,axiom,( r1_xxreal_0(19,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r23,axiom,( r1_xxreal_0(19,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r24,axiom,( r1_xxreal_0(19,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r25,axiom,( r1_xxreal_0(19,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r26,axiom,( r1_xxreal_0(19,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r27,axiom,( r1_xxreal_0(19,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r28,axiom,( r1_xxreal_0(19,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r29,axiom,( r1_xxreal_0(19,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r3,axiom,( ~ r1_xxreal_0(19,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r30,axiom,( r1_xxreal_0(19,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r31,axiom,( r1_xxreal_0(19,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r32,axiom,( r1_xxreal_0(19,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r33,axiom,( r1_xxreal_0(19,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r34,axiom,( r1_xxreal_0(19,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r35,axiom,( r1_xxreal_0(19,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r36,axiom,( r1_xxreal_0(19,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r37,axiom,( r1_xxreal_0(19,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r38,axiom,( r1_xxreal_0(19,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r39,axiom,( r1_xxreal_0(19,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r4,axiom,( ~ r1_xxreal_0(19,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r40,axiom,( r1_xxreal_0(19,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r41,axiom,( r1_xxreal_0(19,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r42,axiom,( r1_xxreal_0(19,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r43,axiom,( r1_xxreal_0(19,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r44,axiom,( r1_xxreal_0(19,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r45,axiom,( r1_xxreal_0(19,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r46,axiom,( r1_xxreal_0(19,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r47,axiom,( r1_xxreal_0(19,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r48,axiom,( r1_xxreal_0(19,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r49,axiom,( r1_xxreal_0(19,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r5,axiom,( ~ r1_xxreal_0(19,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r50,axiom,( r1_xxreal_0(19,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r51,axiom,( r1_xxreal_0(19,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r52,axiom,( r1_xxreal_0(19,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r53,axiom,( r1_xxreal_0(19,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r54,axiom,( r1_xxreal_0(19,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r55,axiom,( r1_xxreal_0(19,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r56,axiom,( r1_xxreal_0(19,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r57,axiom,( r1_xxreal_0(19,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r58,axiom,( r1_xxreal_0(19,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r59,axiom,( r1_xxreal_0(19,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r6,axiom,( ~ r1_xxreal_0(19,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r60,axiom,( r1_xxreal_0(19,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r61,axiom,( r1_xxreal_0(19,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r62,axiom,( r1_xxreal_0(19,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r63,axiom,( r1_xxreal_0(19,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r64,axiom,( r1_xxreal_0(19,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r7,axiom,( ~ r1_xxreal_0(19,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r8,axiom,( ~ r1_xxreal_0(19,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_r9,axiom,( ~ r1_xxreal_0(19,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r19_rm1,axiom,( ~ r1_xxreal_0(19,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0,axiom,( ~ r1_xxreal_0(1,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1,axiom,( r1_xxreal_0(1,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r10,axiom,( r1_xxreal_0(1,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r100,axiom,( r1_xxreal_0(1,100) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r11,axiom,( r1_xxreal_0(1,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r12,axiom,( r1_xxreal_0(1,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r120,axiom,( r1_xxreal_0(1,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r121,axiom,( r1_xxreal_0(1,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r128,axiom,( r1_xxreal_0(1,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r129,axiom,( r1_xxreal_0(1,129) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r13,axiom,( r1_xxreal_0(1,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r14,axiom,( r1_xxreal_0(1,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r15,axiom,( r1_xxreal_0(1,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r159,axiom,( r1_xxreal_0(1,159) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r16,axiom,( r1_xxreal_0(1,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r17,axiom,( r1_xxreal_0(1,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r18,axiom,( r1_xxreal_0(1,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r19,axiom,( r1_xxreal_0(1,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2,axiom,( r1_xxreal_0(1,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r20,axiom,( r1_xxreal_0(1,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r21,axiom,( r1_xxreal_0(1,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r22,axiom,( r1_xxreal_0(1,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r23,axiom,( r1_xxreal_0(1,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r24,axiom,( r1_xxreal_0(1,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r25,axiom,( r1_xxreal_0(1,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r256,axiom,( r1_xxreal_0(1,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r26,axiom,( r1_xxreal_0(1,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r27,axiom,( r1_xxreal_0(1,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r28,axiom,( r1_xxreal_0(1,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r29,axiom,( r1_xxreal_0(1,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3,axiom,( r1_xxreal_0(1,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r30,axiom,( r1_xxreal_0(1,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r31,axiom,( r1_xxreal_0(1,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r32,axiom,( r1_xxreal_0(1,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r33,axiom,( r1_xxreal_0(1,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r34,axiom,( r1_xxreal_0(1,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r35,axiom,( r1_xxreal_0(1,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r36,axiom,( r1_xxreal_0(1,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r37,axiom,( r1_xxreal_0(1,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r38,axiom,( r1_xxreal_0(1,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r39,axiom,( r1_xxreal_0(1,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4,axiom,( r1_xxreal_0(1,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r40,axiom,( r1_xxreal_0(1,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r400,axiom,( r1_xxreal_0(1,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r41,axiom,( r1_xxreal_0(1,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r42,axiom,( r1_xxreal_0(1,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r43,axiom,( r1_xxreal_0(1,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r44,axiom,( r1_xxreal_0(1,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r45,axiom,( r1_xxreal_0(1,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r46,axiom,( r1_xxreal_0(1,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r47,axiom,( r1_xxreal_0(1,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r48,axiom,( r1_xxreal_0(1,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r49,axiom,( r1_xxreal_0(1,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5,axiom,( r1_xxreal_0(1,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r50,axiom,( r1_xxreal_0(1,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r51,axiom,( r1_xxreal_0(1,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r52,axiom,( r1_xxreal_0(1,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r53,axiom,( r1_xxreal_0(1,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r54,axiom,( r1_xxreal_0(1,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r55,axiom,( r1_xxreal_0(1,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r56,axiom,( r1_xxreal_0(1,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r57,axiom,( r1_xxreal_0(1,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r58,axiom,( r1_xxreal_0(1,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r59,axiom,( r1_xxreal_0(1,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6,axiom,( r1_xxreal_0(1,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r60,axiom,( r1_xxreal_0(1,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r61,axiom,( r1_xxreal_0(1,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r62,axiom,( r1_xxreal_0(1,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r63,axiom,( r1_xxreal_0(1,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r64,axiom,( r1_xxreal_0(1,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r641,axiom,( r1_xxreal_0(1,641) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7,axiom,( r1_xxreal_0(1,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r72,axiom,( r1_xxreal_0(1,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r73,axiom,( r1_xxreal_0(1,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8,axiom,( r1_xxreal_0(1,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r800,axiom,( r1_xxreal_0(1,800) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r9,axiom,( r1_xxreal_0(1,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_r96,axiom,( r1_xxreal_0(1,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm10,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm3,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm4,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm44,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm5,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm6,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm7,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm8,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm9,axiom,( ~ r1_xxreal_0(1,k4_xcmplx_0(9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn11d36,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn159d100,axiom,( r1_xxreal_0(1,k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn15d32,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(15,32)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn16d7,axiom,( r1_xxreal_0(1,k7_xcmplx_0(16,7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn17d4,axiom,( r1_xxreal_0(1,k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d100,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d16,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d2,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d24,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d256,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d3,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d36,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d4,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d6,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d8,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn25d16,axiom,( r1_xxreal_0(1,k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn25d36,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn25d4,axiom,( r1_xxreal_0(1,k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d3,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d9,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d2,axiom,( r1_xxreal_0(1,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d4,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d5,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn4d3,axiom,( r1_xxreal_0(1,k7_xcmplx_0(4,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn5d4,axiom,( r1_xxreal_0(1,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn5d6,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn9d10,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn9d4,axiom,( r1_xxreal_0(1,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm159d100,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d4,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d6,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm25d36,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k4_xcmplx_0(25),36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm3d4,axiom,( ~ r1_xxreal_0(1,k7_xcmplx_0(k4_xcmplx_0(3),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r200_r0,axiom,( ~ r1_xxreal_0(200,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r200_r1,axiom,( ~ r1_xxreal_0(200,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r200_r10,axiom,( ~ r1_xxreal_0(200,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r200_r2,axiom,( ~ r1_xxreal_0(200,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r200_r20,axiom,( ~ r1_xxreal_0(200,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r200_r3,axiom,( ~ r1_xxreal_0(200,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r200_r67,axiom,( ~ r1_xxreal_0(200,67) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r0,axiom,( ~ r1_xxreal_0(201,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r1,axiom,( ~ r1_xxreal_0(201,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r10,axiom,( ~ r1_xxreal_0(201,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r2,axiom,( ~ r1_xxreal_0(201,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r20,axiom,( ~ r1_xxreal_0(201,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r200,axiom,( ~ r1_xxreal_0(201,200) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r3,axiom,( ~ r1_xxreal_0(201,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r201_r67,axiom,( ~ r1_xxreal_0(201,67) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r0,axiom,( ~ r1_xxreal_0(20,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r1,axiom,( ~ r1_xxreal_0(20,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r10,axiom,( ~ r1_xxreal_0(20,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r11,axiom,( ~ r1_xxreal_0(20,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r12,axiom,( ~ r1_xxreal_0(20,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r13,axiom,( ~ r1_xxreal_0(20,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r14,axiom,( ~ r1_xxreal_0(20,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r15,axiom,( ~ r1_xxreal_0(20,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r16,axiom,( ~ r1_xxreal_0(20,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r17,axiom,( ~ r1_xxreal_0(20,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r18,axiom,( ~ r1_xxreal_0(20,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r19,axiom,( ~ r1_xxreal_0(20,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r2,axiom,( ~ r1_xxreal_0(20,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r20,axiom,( r1_xxreal_0(20,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r21,axiom,( r1_xxreal_0(20,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r22,axiom,( r1_xxreal_0(20,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r23,axiom,( r1_xxreal_0(20,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r24,axiom,( r1_xxreal_0(20,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r25,axiom,( r1_xxreal_0(20,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r26,axiom,( r1_xxreal_0(20,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r27,axiom,( r1_xxreal_0(20,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r28,axiom,( r1_xxreal_0(20,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r29,axiom,( r1_xxreal_0(20,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r3,axiom,( ~ r1_xxreal_0(20,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r30,axiom,( r1_xxreal_0(20,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r31,axiom,( r1_xxreal_0(20,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r32,axiom,( r1_xxreal_0(20,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r33,axiom,( r1_xxreal_0(20,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r34,axiom,( r1_xxreal_0(20,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r35,axiom,( r1_xxreal_0(20,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r36,axiom,( r1_xxreal_0(20,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r37,axiom,( r1_xxreal_0(20,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r38,axiom,( r1_xxreal_0(20,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r39,axiom,( r1_xxreal_0(20,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r4,axiom,( ~ r1_xxreal_0(20,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r40,axiom,( r1_xxreal_0(20,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r41,axiom,( r1_xxreal_0(20,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r42,axiom,( r1_xxreal_0(20,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r43,axiom,( r1_xxreal_0(20,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r44,axiom,( r1_xxreal_0(20,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r45,axiom,( r1_xxreal_0(20,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r46,axiom,( r1_xxreal_0(20,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r47,axiom,( r1_xxreal_0(20,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r48,axiom,( r1_xxreal_0(20,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r49,axiom,( r1_xxreal_0(20,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r5,axiom,( ~ r1_xxreal_0(20,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r50,axiom,( r1_xxreal_0(20,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r51,axiom,( r1_xxreal_0(20,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r52,axiom,( r1_xxreal_0(20,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r53,axiom,( r1_xxreal_0(20,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r54,axiom,( r1_xxreal_0(20,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r55,axiom,( r1_xxreal_0(20,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r56,axiom,( r1_xxreal_0(20,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r57,axiom,( r1_xxreal_0(20,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r58,axiom,( r1_xxreal_0(20,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r59,axiom,( r1_xxreal_0(20,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r6,axiom,( ~ r1_xxreal_0(20,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r60,axiom,( r1_xxreal_0(20,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r61,axiom,( r1_xxreal_0(20,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r62,axiom,( r1_xxreal_0(20,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r63,axiom,( r1_xxreal_0(20,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r64,axiom,( r1_xxreal_0(20,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r7,axiom,( ~ r1_xxreal_0(20,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r72,axiom,( r1_xxreal_0(20,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r8,axiom,( ~ r1_xxreal_0(20,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_r9,axiom,( ~ r1_xxreal_0(20,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_rm1,axiom,( ~ r1_xxreal_0(20,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_rn1d2,axiom,( ~ r1_xxreal_0(20,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_rn1d3,axiom,( ~ r1_xxreal_0(20,k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_rn1d6,axiom,( ~ r1_xxreal_0(20,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_rn20d9,axiom,( ~ r1_xxreal_0(20,k7_xcmplx_0(20,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_rn2d3,axiom,( ~ r1_xxreal_0(20,k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r20_rn400d81,axiom,( ~ r1_xxreal_0(20,k7_xcmplx_0(400,81)) )).
fof(rqLessOrEqual__r1_xxreal_0__r210_r0,axiom,( ~ r1_xxreal_0(210,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r210_r1,axiom,( ~ r1_xxreal_0(210,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r210_r3,axiom,( ~ r1_xxreal_0(210,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r214_r0,axiom,( ~ r1_xxreal_0(214,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_r0,axiom,( ~ r1_xxreal_0(219,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_r1,axiom,( ~ r1_xxreal_0(219,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_r10,axiom,( ~ r1_xxreal_0(219,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_r2,axiom,( ~ r1_xxreal_0(219,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_r22,axiom,( ~ r1_xxreal_0(219,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_r3,axiom,( ~ r1_xxreal_0(219,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_r73,axiom,( ~ r1_xxreal_0(219,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r219_rm1,axiom,( ~ r1_xxreal_0(219,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r0,axiom,( ~ r1_xxreal_0(21,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r1,axiom,( ~ r1_xxreal_0(21,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r10,axiom,( ~ r1_xxreal_0(21,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r11,axiom,( ~ r1_xxreal_0(21,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r12,axiom,( ~ r1_xxreal_0(21,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r13,axiom,( ~ r1_xxreal_0(21,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r14,axiom,( ~ r1_xxreal_0(21,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r15,axiom,( ~ r1_xxreal_0(21,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r16,axiom,( ~ r1_xxreal_0(21,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r17,axiom,( ~ r1_xxreal_0(21,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r18,axiom,( ~ r1_xxreal_0(21,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r19,axiom,( ~ r1_xxreal_0(21,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r2,axiom,( ~ r1_xxreal_0(21,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r20,axiom,( ~ r1_xxreal_0(21,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r21,axiom,( r1_xxreal_0(21,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r22,axiom,( r1_xxreal_0(21,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r23,axiom,( r1_xxreal_0(21,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r24,axiom,( r1_xxreal_0(21,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r25,axiom,( r1_xxreal_0(21,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r26,axiom,( r1_xxreal_0(21,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r27,axiom,( r1_xxreal_0(21,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r28,axiom,( r1_xxreal_0(21,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r29,axiom,( r1_xxreal_0(21,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r3,axiom,( ~ r1_xxreal_0(21,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r30,axiom,( r1_xxreal_0(21,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r31,axiom,( r1_xxreal_0(21,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r32,axiom,( r1_xxreal_0(21,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r33,axiom,( r1_xxreal_0(21,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r34,axiom,( r1_xxreal_0(21,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r35,axiom,( r1_xxreal_0(21,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r36,axiom,( r1_xxreal_0(21,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r37,axiom,( r1_xxreal_0(21,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r38,axiom,( r1_xxreal_0(21,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r39,axiom,( r1_xxreal_0(21,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r4,axiom,( ~ r1_xxreal_0(21,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r40,axiom,( r1_xxreal_0(21,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r41,axiom,( r1_xxreal_0(21,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r42,axiom,( r1_xxreal_0(21,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r43,axiom,( r1_xxreal_0(21,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r44,axiom,( r1_xxreal_0(21,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r45,axiom,( r1_xxreal_0(21,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r46,axiom,( r1_xxreal_0(21,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r47,axiom,( r1_xxreal_0(21,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r48,axiom,( r1_xxreal_0(21,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r49,axiom,( r1_xxreal_0(21,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r5,axiom,( ~ r1_xxreal_0(21,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r50,axiom,( r1_xxreal_0(21,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r51,axiom,( r1_xxreal_0(21,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r52,axiom,( r1_xxreal_0(21,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r53,axiom,( r1_xxreal_0(21,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r54,axiom,( r1_xxreal_0(21,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r55,axiom,( r1_xxreal_0(21,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r56,axiom,( r1_xxreal_0(21,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r57,axiom,( r1_xxreal_0(21,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r58,axiom,( r1_xxreal_0(21,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r59,axiom,( r1_xxreal_0(21,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r6,axiom,( ~ r1_xxreal_0(21,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r60,axiom,( r1_xxreal_0(21,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r61,axiom,( r1_xxreal_0(21,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r62,axiom,( r1_xxreal_0(21,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r63,axiom,( r1_xxreal_0(21,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r64,axiom,( r1_xxreal_0(21,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r7,axiom,( ~ r1_xxreal_0(21,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r8,axiom,( ~ r1_xxreal_0(21,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r21_r9,axiom,( ~ r1_xxreal_0(21,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r0,axiom,( ~ r1_xxreal_0(220,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r1,axiom,( ~ r1_xxreal_0(220,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r10,axiom,( ~ r1_xxreal_0(220,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r2,axiom,( ~ r1_xxreal_0(220,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r219,axiom,( ~ r1_xxreal_0(220,219) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r22,axiom,( ~ r1_xxreal_0(220,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r3,axiom,( ~ r1_xxreal_0(220,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_r73,axiom,( ~ r1_xxreal_0(220,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r220_rm1,axiom,( ~ r1_xxreal_0(220,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r225_r0,axiom,( ~ r1_xxreal_0(225,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r225_r1,axiom,( ~ r1_xxreal_0(225,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r225_r2,axiom,( ~ r1_xxreal_0(225,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r225_r3,axiom,( ~ r1_xxreal_0(225,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r0,axiom,( ~ r1_xxreal_0(22,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r1,axiom,( ~ r1_xxreal_0(22,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r10,axiom,( ~ r1_xxreal_0(22,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r11,axiom,( ~ r1_xxreal_0(22,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r12,axiom,( ~ r1_xxreal_0(22,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r13,axiom,( ~ r1_xxreal_0(22,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r14,axiom,( ~ r1_xxreal_0(22,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r15,axiom,( ~ r1_xxreal_0(22,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r16,axiom,( ~ r1_xxreal_0(22,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r17,axiom,( ~ r1_xxreal_0(22,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r18,axiom,( ~ r1_xxreal_0(22,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r19,axiom,( ~ r1_xxreal_0(22,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r2,axiom,( ~ r1_xxreal_0(22,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r20,axiom,( ~ r1_xxreal_0(22,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r21,axiom,( ~ r1_xxreal_0(22,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r22,axiom,( r1_xxreal_0(22,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r23,axiom,( r1_xxreal_0(22,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r24,axiom,( r1_xxreal_0(22,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r25,axiom,( r1_xxreal_0(22,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r26,axiom,( r1_xxreal_0(22,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r27,axiom,( r1_xxreal_0(22,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r28,axiom,( r1_xxreal_0(22,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r29,axiom,( r1_xxreal_0(22,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r3,axiom,( ~ r1_xxreal_0(22,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r30,axiom,( r1_xxreal_0(22,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r31,axiom,( r1_xxreal_0(22,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r32,axiom,( r1_xxreal_0(22,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r33,axiom,( r1_xxreal_0(22,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r34,axiom,( r1_xxreal_0(22,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r35,axiom,( r1_xxreal_0(22,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r36,axiom,( r1_xxreal_0(22,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r37,axiom,( r1_xxreal_0(22,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r38,axiom,( r1_xxreal_0(22,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r39,axiom,( r1_xxreal_0(22,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r4,axiom,( ~ r1_xxreal_0(22,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r40,axiom,( r1_xxreal_0(22,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r41,axiom,( r1_xxreal_0(22,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r42,axiom,( r1_xxreal_0(22,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r43,axiom,( r1_xxreal_0(22,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r44,axiom,( r1_xxreal_0(22,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r45,axiom,( r1_xxreal_0(22,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r46,axiom,( r1_xxreal_0(22,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r47,axiom,( r1_xxreal_0(22,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r48,axiom,( r1_xxreal_0(22,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r49,axiom,( r1_xxreal_0(22,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r5,axiom,( ~ r1_xxreal_0(22,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r50,axiom,( r1_xxreal_0(22,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r51,axiom,( r1_xxreal_0(22,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r52,axiom,( r1_xxreal_0(22,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r53,axiom,( r1_xxreal_0(22,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r54,axiom,( r1_xxreal_0(22,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r55,axiom,( r1_xxreal_0(22,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r56,axiom,( r1_xxreal_0(22,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r57,axiom,( r1_xxreal_0(22,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r58,axiom,( r1_xxreal_0(22,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r59,axiom,( r1_xxreal_0(22,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r6,axiom,( ~ r1_xxreal_0(22,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r60,axiom,( r1_xxreal_0(22,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r61,axiom,( r1_xxreal_0(22,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r62,axiom,( r1_xxreal_0(22,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r63,axiom,( r1_xxreal_0(22,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r64,axiom,( r1_xxreal_0(22,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r7,axiom,( ~ r1_xxreal_0(22,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r8,axiom,( ~ r1_xxreal_0(22,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_r9,axiom,( ~ r1_xxreal_0(22,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r22_rm1,axiom,( ~ r1_xxreal_0(22,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r231_r0,axiom,( ~ r1_xxreal_0(231,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r231_r1,axiom,( ~ r1_xxreal_0(231,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r231_r152,axiom,( ~ r1_xxreal_0(231,152) )).
fof(rqLessOrEqual__r1_xxreal_0__r231_r195,axiom,( ~ r1_xxreal_0(231,195) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r0,axiom,( ~ r1_xxreal_0(23,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r1,axiom,( ~ r1_xxreal_0(23,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r10,axiom,( ~ r1_xxreal_0(23,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r11,axiom,( ~ r1_xxreal_0(23,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r12,axiom,( ~ r1_xxreal_0(23,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r13,axiom,( ~ r1_xxreal_0(23,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r14,axiom,( ~ r1_xxreal_0(23,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r15,axiom,( ~ r1_xxreal_0(23,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r16,axiom,( ~ r1_xxreal_0(23,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r17,axiom,( ~ r1_xxreal_0(23,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r18,axiom,( ~ r1_xxreal_0(23,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r19,axiom,( ~ r1_xxreal_0(23,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r2,axiom,( ~ r1_xxreal_0(23,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r20,axiom,( ~ r1_xxreal_0(23,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r21,axiom,( ~ r1_xxreal_0(23,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r22,axiom,( ~ r1_xxreal_0(23,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r23,axiom,( r1_xxreal_0(23,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r24,axiom,( r1_xxreal_0(23,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r25,axiom,( r1_xxreal_0(23,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r26,axiom,( r1_xxreal_0(23,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r27,axiom,( r1_xxreal_0(23,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r28,axiom,( r1_xxreal_0(23,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r29,axiom,( r1_xxreal_0(23,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r3,axiom,( ~ r1_xxreal_0(23,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r30,axiom,( r1_xxreal_0(23,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r31,axiom,( r1_xxreal_0(23,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r32,axiom,( r1_xxreal_0(23,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r33,axiom,( r1_xxreal_0(23,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r34,axiom,( r1_xxreal_0(23,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r35,axiom,( r1_xxreal_0(23,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r36,axiom,( r1_xxreal_0(23,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r365,axiom,( r1_xxreal_0(23,365) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r37,axiom,( r1_xxreal_0(23,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r38,axiom,( r1_xxreal_0(23,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r39,axiom,( r1_xxreal_0(23,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r4,axiom,( ~ r1_xxreal_0(23,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r40,axiom,( r1_xxreal_0(23,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r41,axiom,( r1_xxreal_0(23,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r42,axiom,( r1_xxreal_0(23,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r43,axiom,( r1_xxreal_0(23,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r44,axiom,( r1_xxreal_0(23,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r45,axiom,( r1_xxreal_0(23,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r46,axiom,( r1_xxreal_0(23,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r47,axiom,( r1_xxreal_0(23,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r48,axiom,( r1_xxreal_0(23,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r49,axiom,( r1_xxreal_0(23,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r5,axiom,( ~ r1_xxreal_0(23,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r50,axiom,( r1_xxreal_0(23,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r51,axiom,( r1_xxreal_0(23,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r52,axiom,( r1_xxreal_0(23,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r53,axiom,( r1_xxreal_0(23,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r54,axiom,( r1_xxreal_0(23,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r55,axiom,( r1_xxreal_0(23,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r56,axiom,( r1_xxreal_0(23,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r57,axiom,( r1_xxreal_0(23,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r58,axiom,( r1_xxreal_0(23,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r59,axiom,( r1_xxreal_0(23,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r6,axiom,( ~ r1_xxreal_0(23,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r60,axiom,( r1_xxreal_0(23,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r61,axiom,( r1_xxreal_0(23,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r62,axiom,( r1_xxreal_0(23,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r63,axiom,( r1_xxreal_0(23,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r64,axiom,( r1_xxreal_0(23,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r7,axiom,( ~ r1_xxreal_0(23,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r8,axiom,( ~ r1_xxreal_0(23,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_r9,axiom,( ~ r1_xxreal_0(23,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_rm1,axiom,( ~ r1_xxreal_0(23,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r23_rn1d2,axiom,( ~ r1_xxreal_0(23,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r0,axiom,( ~ r1_xxreal_0(241,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r1,axiom,( ~ r1_xxreal_0(241,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r123,axiom,( ~ r1_xxreal_0(241,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r14,axiom,( ~ r1_xxreal_0(241,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r15,axiom,( ~ r1_xxreal_0(241,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r2,axiom,( ~ r1_xxreal_0(241,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r225,axiom,( ~ r1_xxreal_0(241,225) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r3,axiom,( ~ r1_xxreal_0(241,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r4,axiom,( ~ r1_xxreal_0(241,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r64,axiom,( ~ r1_xxreal_0(241,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r81,axiom,( ~ r1_xxreal_0(241,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r241_r83,axiom,( ~ r1_xxreal_0(241,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r0,axiom,( ~ r1_xxreal_0(249,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r1,axiom,( ~ r1_xxreal_0(249,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r10,axiom,( ~ r1_xxreal_0(249,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r136,axiom,( ~ r1_xxreal_0(249,136) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r2,axiom,( ~ r1_xxreal_0(249,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r241,axiom,( ~ r1_xxreal_0(249,241) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r25,axiom,( ~ r1_xxreal_0(249,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r3,axiom,( ~ r1_xxreal_0(249,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r64,axiom,( ~ r1_xxreal_0(249,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r71,axiom,( ~ r1_xxreal_0(249,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_r83,axiom,( ~ r1_xxreal_0(249,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r249_rm1,axiom,( ~ r1_xxreal_0(249,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r0,axiom,( ~ r1_xxreal_0(24,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r1,axiom,( ~ r1_xxreal_0(24,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r10,axiom,( ~ r1_xxreal_0(24,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r11,axiom,( ~ r1_xxreal_0(24,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r12,axiom,( ~ r1_xxreal_0(24,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r120,axiom,( r1_xxreal_0(24,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r121,axiom,( r1_xxreal_0(24,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r128,axiom,( r1_xxreal_0(24,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r13,axiom,( ~ r1_xxreal_0(24,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r14,axiom,( ~ r1_xxreal_0(24,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r15,axiom,( ~ r1_xxreal_0(24,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r16,axiom,( ~ r1_xxreal_0(24,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r17,axiom,( ~ r1_xxreal_0(24,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r18,axiom,( ~ r1_xxreal_0(24,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r19,axiom,( ~ r1_xxreal_0(24,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r2,axiom,( ~ r1_xxreal_0(24,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r20,axiom,( ~ r1_xxreal_0(24,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r21,axiom,( ~ r1_xxreal_0(24,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r22,axiom,( ~ r1_xxreal_0(24,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r23,axiom,( ~ r1_xxreal_0(24,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r24,axiom,( r1_xxreal_0(24,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r25,axiom,( r1_xxreal_0(24,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r26,axiom,( r1_xxreal_0(24,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r27,axiom,( r1_xxreal_0(24,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r28,axiom,( r1_xxreal_0(24,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r29,axiom,( r1_xxreal_0(24,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r3,axiom,( ~ r1_xxreal_0(24,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r30,axiom,( r1_xxreal_0(24,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r31,axiom,( r1_xxreal_0(24,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r32,axiom,( r1_xxreal_0(24,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r33,axiom,( r1_xxreal_0(24,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r34,axiom,( r1_xxreal_0(24,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r35,axiom,( r1_xxreal_0(24,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r36,axiom,( r1_xxreal_0(24,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r37,axiom,( r1_xxreal_0(24,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r38,axiom,( r1_xxreal_0(24,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r39,axiom,( r1_xxreal_0(24,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r4,axiom,( ~ r1_xxreal_0(24,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r40,axiom,( r1_xxreal_0(24,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r41,axiom,( r1_xxreal_0(24,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r42,axiom,( r1_xxreal_0(24,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r43,axiom,( r1_xxreal_0(24,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r44,axiom,( r1_xxreal_0(24,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r45,axiom,( r1_xxreal_0(24,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r46,axiom,( r1_xxreal_0(24,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r47,axiom,( r1_xxreal_0(24,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r48,axiom,( r1_xxreal_0(24,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r49,axiom,( r1_xxreal_0(24,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r5,axiom,( ~ r1_xxreal_0(24,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r50,axiom,( r1_xxreal_0(24,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r51,axiom,( r1_xxreal_0(24,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r52,axiom,( r1_xxreal_0(24,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r53,axiom,( r1_xxreal_0(24,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r54,axiom,( r1_xxreal_0(24,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r55,axiom,( r1_xxreal_0(24,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r56,axiom,( r1_xxreal_0(24,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r57,axiom,( r1_xxreal_0(24,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r58,axiom,( r1_xxreal_0(24,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r59,axiom,( r1_xxreal_0(24,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r6,axiom,( ~ r1_xxreal_0(24,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r60,axiom,( r1_xxreal_0(24,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r61,axiom,( r1_xxreal_0(24,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r62,axiom,( r1_xxreal_0(24,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r63,axiom,( r1_xxreal_0(24,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r64,axiom,( r1_xxreal_0(24,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r7,axiom,( ~ r1_xxreal_0(24,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r8,axiom,( ~ r1_xxreal_0(24,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r9,axiom,( ~ r1_xxreal_0(24,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_r96,axiom,( r1_xxreal_0(24,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_rm1,axiom,( ~ r1_xxreal_0(24,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_rm2,axiom,( ~ r1_xxreal_0(24,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_rm3,axiom,( ~ r1_xxreal_0(24,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_rm44,axiom,( ~ r1_xxreal_0(24,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r24_rn1d24,axiom,( ~ r1_xxreal_0(24,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r0,axiom,( ~ r1_xxreal_0(250,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r1,axiom,( ~ r1_xxreal_0(250,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r10,axiom,( ~ r1_xxreal_0(250,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r2,axiom,( ~ r1_xxreal_0(250,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r249,axiom,( ~ r1_xxreal_0(250,249) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r25,axiom,( ~ r1_xxreal_0(250,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r3,axiom,( ~ r1_xxreal_0(250,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_r83,axiom,( ~ r1_xxreal_0(250,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r250_rm1,axiom,( ~ r1_xxreal_0(250,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r0,axiom,( ~ r1_xxreal_0(255,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r1,axiom,( ~ r1_xxreal_0(255,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r16,axiom,( ~ r1_xxreal_0(255,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r2,axiom,( ~ r1_xxreal_0(255,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r241,axiom,( ~ r1_xxreal_0(255,241) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r4,axiom,( ~ r1_xxreal_0(255,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r64,axiom,( ~ r1_xxreal_0(255,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r81,axiom,( ~ r1_xxreal_0(255,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r255_r97,axiom,( ~ r1_xxreal_0(255,97) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r0,axiom,( ~ r1_xxreal_0(256,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r1,axiom,( ~ r1_xxreal_0(256,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r120,axiom,( ~ r1_xxreal_0(256,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r123,axiom,( ~ r1_xxreal_0(256,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r14,axiom,( ~ r1_xxreal_0(256,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r16,axiom,( ~ r1_xxreal_0(256,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r164,axiom,( ~ r1_xxreal_0(256,164) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r172,axiom,( ~ r1_xxreal_0(256,172) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r197,axiom,( ~ r1_xxreal_0(256,197) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r2,axiom,( ~ r1_xxreal_0(256,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r225,axiom,( ~ r1_xxreal_0(256,225) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r241,axiom,( ~ r1_xxreal_0(256,241) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r255,axiom,( ~ r1_xxreal_0(256,255) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r256,axiom,( r1_xxreal_0(256,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r26,axiom,( ~ r1_xxreal_0(256,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r3,axiom,( ~ r1_xxreal_0(256,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r32,axiom,( ~ r1_xxreal_0(256,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r4,axiom,( ~ r1_xxreal_0(256,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r5,axiom,( ~ r1_xxreal_0(256,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r52,axiom,( ~ r1_xxreal_0(256,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r6,axiom,( ~ r1_xxreal_0(256,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r64,axiom,( ~ r1_xxreal_0(256,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r68,axiom,( ~ r1_xxreal_0(256,68) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r71,axiom,( ~ r1_xxreal_0(256,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r81,axiom,( ~ r1_xxreal_0(256,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r9,axiom,( ~ r1_xxreal_0(256,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_r97,axiom,( ~ r1_xxreal_0(256,97) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_rn15d32,axiom,( ~ r1_xxreal_0(256,k7_xcmplx_0(15,32)) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_rn1d256,axiom,( ~ r1_xxreal_0(256,k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_rn1d4,axiom,( ~ r1_xxreal_0(256,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_rn1d6,axiom,( ~ r1_xxreal_0(256,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_rn5d4,axiom,( ~ r1_xxreal_0(256,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r256_rn5d6,axiom,( ~ r1_xxreal_0(256,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r0,axiom,( ~ r1_xxreal_0(257,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r1,axiom,( ~ r1_xxreal_0(257,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r136,axiom,( ~ r1_xxreal_0(257,136) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r15,axiom,( ~ r1_xxreal_0(257,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r197,axiom,( ~ r1_xxreal_0(257,197) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r2,axiom,( ~ r1_xxreal_0(257,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r225,axiom,( ~ r1_xxreal_0(257,225) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r241,axiom,( ~ r1_xxreal_0(257,241) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r249,axiom,( ~ r1_xxreal_0(257,249) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r25,axiom,( ~ r1_xxreal_0(257,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r256,axiom,( ~ r1_xxreal_0(257,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r3,axiom,( ~ r1_xxreal_0(257,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r32,axiom,( ~ r1_xxreal_0(257,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r4,axiom,( ~ r1_xxreal_0(257,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r64,axiom,( ~ r1_xxreal_0(257,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r71,axiom,( ~ r1_xxreal_0(257,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r81,axiom,( ~ r1_xxreal_0(257,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r83,axiom,( ~ r1_xxreal_0(257,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r257_r9,axiom,( ~ r1_xxreal_0(257,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r0,axiom,( ~ r1_xxreal_0(25,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r1,axiom,( ~ r1_xxreal_0(25,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r10,axiom,( ~ r1_xxreal_0(25,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r11,axiom,( ~ r1_xxreal_0(25,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r12,axiom,( ~ r1_xxreal_0(25,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r13,axiom,( ~ r1_xxreal_0(25,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r14,axiom,( ~ r1_xxreal_0(25,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r15,axiom,( ~ r1_xxreal_0(25,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r16,axiom,( ~ r1_xxreal_0(25,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r17,axiom,( ~ r1_xxreal_0(25,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r18,axiom,( ~ r1_xxreal_0(25,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r19,axiom,( ~ r1_xxreal_0(25,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r2,axiom,( ~ r1_xxreal_0(25,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r20,axiom,( ~ r1_xxreal_0(25,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r21,axiom,( ~ r1_xxreal_0(25,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r22,axiom,( ~ r1_xxreal_0(25,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r23,axiom,( ~ r1_xxreal_0(25,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r24,axiom,( ~ r1_xxreal_0(25,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r25,axiom,( r1_xxreal_0(25,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r26,axiom,( r1_xxreal_0(25,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r27,axiom,( r1_xxreal_0(25,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r28,axiom,( r1_xxreal_0(25,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r29,axiom,( r1_xxreal_0(25,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r3,axiom,( ~ r1_xxreal_0(25,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r30,axiom,( r1_xxreal_0(25,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r31,axiom,( r1_xxreal_0(25,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r32,axiom,( r1_xxreal_0(25,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r33,axiom,( r1_xxreal_0(25,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r34,axiom,( r1_xxreal_0(25,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r35,axiom,( r1_xxreal_0(25,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r36,axiom,( r1_xxreal_0(25,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r37,axiom,( r1_xxreal_0(25,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r38,axiom,( r1_xxreal_0(25,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r39,axiom,( r1_xxreal_0(25,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r4,axiom,( ~ r1_xxreal_0(25,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r40,axiom,( r1_xxreal_0(25,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r41,axiom,( r1_xxreal_0(25,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r42,axiom,( r1_xxreal_0(25,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r43,axiom,( r1_xxreal_0(25,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r44,axiom,( r1_xxreal_0(25,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r45,axiom,( r1_xxreal_0(25,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r46,axiom,( r1_xxreal_0(25,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r47,axiom,( r1_xxreal_0(25,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r48,axiom,( r1_xxreal_0(25,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r49,axiom,( r1_xxreal_0(25,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r5,axiom,( ~ r1_xxreal_0(25,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r50,axiom,( r1_xxreal_0(25,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r51,axiom,( r1_xxreal_0(25,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r52,axiom,( r1_xxreal_0(25,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r53,axiom,( r1_xxreal_0(25,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r54,axiom,( r1_xxreal_0(25,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r55,axiom,( r1_xxreal_0(25,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r56,axiom,( r1_xxreal_0(25,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r57,axiom,( r1_xxreal_0(25,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r58,axiom,( r1_xxreal_0(25,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r59,axiom,( r1_xxreal_0(25,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r6,axiom,( ~ r1_xxreal_0(25,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r60,axiom,( r1_xxreal_0(25,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r61,axiom,( r1_xxreal_0(25,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r62,axiom,( r1_xxreal_0(25,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r63,axiom,( r1_xxreal_0(25,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r64,axiom,( r1_xxreal_0(25,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r7,axiom,( ~ r1_xxreal_0(25,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r8,axiom,( ~ r1_xxreal_0(25,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_r9,axiom,( ~ r1_xxreal_0(25,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rm1,axiom,( ~ r1_xxreal_0(25,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn11d36,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn1d16,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn1d36,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn1d4,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn1d6,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn1d8,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn25d16,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn25d36,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn25d4,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rn5d6,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r25_rnm25d36,axiom,( ~ r1_xxreal_0(25,k7_xcmplx_0(k4_xcmplx_0(25),36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r261_r0,axiom,( ~ r1_xxreal_0(261,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r0,axiom,( ~ r1_xxreal_0(263,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r1,axiom,( ~ r1_xxreal_0(263,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r123,axiom,( ~ r1_xxreal_0(263,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r164,axiom,( ~ r1_xxreal_0(263,164) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r172,axiom,( ~ r1_xxreal_0(263,172) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r2,axiom,( ~ r1_xxreal_0(263,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r256,axiom,( ~ r1_xxreal_0(263,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r263_r4,axiom,( ~ r1_xxreal_0(263,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r0,axiom,( ~ r1_xxreal_0(26,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r1,axiom,( ~ r1_xxreal_0(26,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r10,axiom,( ~ r1_xxreal_0(26,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r11,axiom,( ~ r1_xxreal_0(26,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r12,axiom,( ~ r1_xxreal_0(26,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r13,axiom,( ~ r1_xxreal_0(26,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r14,axiom,( ~ r1_xxreal_0(26,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r15,axiom,( ~ r1_xxreal_0(26,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r16,axiom,( ~ r1_xxreal_0(26,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r17,axiom,( ~ r1_xxreal_0(26,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r18,axiom,( ~ r1_xxreal_0(26,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r19,axiom,( ~ r1_xxreal_0(26,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r2,axiom,( ~ r1_xxreal_0(26,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r20,axiom,( ~ r1_xxreal_0(26,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r21,axiom,( ~ r1_xxreal_0(26,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r22,axiom,( ~ r1_xxreal_0(26,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r23,axiom,( ~ r1_xxreal_0(26,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r24,axiom,( ~ r1_xxreal_0(26,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r25,axiom,( ~ r1_xxreal_0(26,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r26,axiom,( r1_xxreal_0(26,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r27,axiom,( r1_xxreal_0(26,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r28,axiom,( r1_xxreal_0(26,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r29,axiom,( r1_xxreal_0(26,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r3,axiom,( ~ r1_xxreal_0(26,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r30,axiom,( r1_xxreal_0(26,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r31,axiom,( r1_xxreal_0(26,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r32,axiom,( r1_xxreal_0(26,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r33,axiom,( r1_xxreal_0(26,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r34,axiom,( r1_xxreal_0(26,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r35,axiom,( r1_xxreal_0(26,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r36,axiom,( r1_xxreal_0(26,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r37,axiom,( r1_xxreal_0(26,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r38,axiom,( r1_xxreal_0(26,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r39,axiom,( r1_xxreal_0(26,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r4,axiom,( ~ r1_xxreal_0(26,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r40,axiom,( r1_xxreal_0(26,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r41,axiom,( r1_xxreal_0(26,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r42,axiom,( r1_xxreal_0(26,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r43,axiom,( r1_xxreal_0(26,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r44,axiom,( r1_xxreal_0(26,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r45,axiom,( r1_xxreal_0(26,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r46,axiom,( r1_xxreal_0(26,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r47,axiom,( r1_xxreal_0(26,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r48,axiom,( r1_xxreal_0(26,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r49,axiom,( r1_xxreal_0(26,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r5,axiom,( ~ r1_xxreal_0(26,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r50,axiom,( r1_xxreal_0(26,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r51,axiom,( r1_xxreal_0(26,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r52,axiom,( r1_xxreal_0(26,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r53,axiom,( r1_xxreal_0(26,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r54,axiom,( r1_xxreal_0(26,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r55,axiom,( r1_xxreal_0(26,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r56,axiom,( r1_xxreal_0(26,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r57,axiom,( r1_xxreal_0(26,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r58,axiom,( r1_xxreal_0(26,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r59,axiom,( r1_xxreal_0(26,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r6,axiom,( ~ r1_xxreal_0(26,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r60,axiom,( r1_xxreal_0(26,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r61,axiom,( r1_xxreal_0(26,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r62,axiom,( r1_xxreal_0(26,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r63,axiom,( r1_xxreal_0(26,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r64,axiom,( r1_xxreal_0(26,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r7,axiom,( ~ r1_xxreal_0(26,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r8,axiom,( ~ r1_xxreal_0(26,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r26_r9,axiom,( ~ r1_xxreal_0(26,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r271_r0,axiom,( ~ r1_xxreal_0(271,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r271_r1,axiom,( ~ r1_xxreal_0(271,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r0,axiom,( ~ r1_xxreal_0(27,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r1,axiom,( ~ r1_xxreal_0(27,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r10,axiom,( ~ r1_xxreal_0(27,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r11,axiom,( ~ r1_xxreal_0(27,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r12,axiom,( ~ r1_xxreal_0(27,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r13,axiom,( ~ r1_xxreal_0(27,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r14,axiom,( ~ r1_xxreal_0(27,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r15,axiom,( ~ r1_xxreal_0(27,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r16,axiom,( ~ r1_xxreal_0(27,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r17,axiom,( ~ r1_xxreal_0(27,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r18,axiom,( ~ r1_xxreal_0(27,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r19,axiom,( ~ r1_xxreal_0(27,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r2,axiom,( ~ r1_xxreal_0(27,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r20,axiom,( ~ r1_xxreal_0(27,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r21,axiom,( ~ r1_xxreal_0(27,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r22,axiom,( ~ r1_xxreal_0(27,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r23,axiom,( ~ r1_xxreal_0(27,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r24,axiom,( ~ r1_xxreal_0(27,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r25,axiom,( ~ r1_xxreal_0(27,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r26,axiom,( ~ r1_xxreal_0(27,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r27,axiom,( r1_xxreal_0(27,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r28,axiom,( r1_xxreal_0(27,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r29,axiom,( r1_xxreal_0(27,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r3,axiom,( ~ r1_xxreal_0(27,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r30,axiom,( r1_xxreal_0(27,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r31,axiom,( r1_xxreal_0(27,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r32,axiom,( r1_xxreal_0(27,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r33,axiom,( r1_xxreal_0(27,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r34,axiom,( r1_xxreal_0(27,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r35,axiom,( r1_xxreal_0(27,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r36,axiom,( r1_xxreal_0(27,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r37,axiom,( r1_xxreal_0(27,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r38,axiom,( r1_xxreal_0(27,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r39,axiom,( r1_xxreal_0(27,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r4,axiom,( ~ r1_xxreal_0(27,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r40,axiom,( r1_xxreal_0(27,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r41,axiom,( r1_xxreal_0(27,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r42,axiom,( r1_xxreal_0(27,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r43,axiom,( r1_xxreal_0(27,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r44,axiom,( r1_xxreal_0(27,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r45,axiom,( r1_xxreal_0(27,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r46,axiom,( r1_xxreal_0(27,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r47,axiom,( r1_xxreal_0(27,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r48,axiom,( r1_xxreal_0(27,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r49,axiom,( r1_xxreal_0(27,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r5,axiom,( ~ r1_xxreal_0(27,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r50,axiom,( r1_xxreal_0(27,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r51,axiom,( r1_xxreal_0(27,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r52,axiom,( r1_xxreal_0(27,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r53,axiom,( r1_xxreal_0(27,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r54,axiom,( r1_xxreal_0(27,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r55,axiom,( r1_xxreal_0(27,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r56,axiom,( r1_xxreal_0(27,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r57,axiom,( r1_xxreal_0(27,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r58,axiom,( r1_xxreal_0(27,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r59,axiom,( r1_xxreal_0(27,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r6,axiom,( ~ r1_xxreal_0(27,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r60,axiom,( r1_xxreal_0(27,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r61,axiom,( r1_xxreal_0(27,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r62,axiom,( r1_xxreal_0(27,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r63,axiom,( r1_xxreal_0(27,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r64,axiom,( r1_xxreal_0(27,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r7,axiom,( ~ r1_xxreal_0(27,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r8,axiom,( ~ r1_xxreal_0(27,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r84,axiom,( r1_xxreal_0(27,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_r9,axiom,( ~ r1_xxreal_0(27,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_rm44,axiom,( ~ r1_xxreal_0(27,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_rn1d2,axiom,( ~ r1_xxreal_0(27,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_rn1d24,axiom,( ~ r1_xxreal_0(27,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r27_rn1d4,axiom,( ~ r1_xxreal_0(27,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r0,axiom,( ~ r1_xxreal_0(282,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r1,axiom,( ~ r1_xxreal_0(282,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r197,axiom,( ~ r1_xxreal_0(282,197) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r2,axiom,( ~ r1_xxreal_0(282,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r256,axiom,( ~ r1_xxreal_0(282,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r4,axiom,( ~ r1_xxreal_0(282,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r52,axiom,( ~ r1_xxreal_0(282,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r282_r71,axiom,( ~ r1_xxreal_0(282,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r0,axiom,( ~ r1_xxreal_0(289,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r1,axiom,( ~ r1_xxreal_0(289,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r14,axiom,( ~ r1_xxreal_0(289,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r2,axiom,( ~ r1_xxreal_0(289,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r256,axiom,( ~ r1_xxreal_0(289,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r282,axiom,( ~ r1_xxreal_0(289,282) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r4,axiom,( ~ r1_xxreal_0(289,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r289_r52,axiom,( ~ r1_xxreal_0(289,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r0,axiom,( ~ r1_xxreal_0(28,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r1,axiom,( ~ r1_xxreal_0(28,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r10,axiom,( ~ r1_xxreal_0(28,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r11,axiom,( ~ r1_xxreal_0(28,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r12,axiom,( ~ r1_xxreal_0(28,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r13,axiom,( ~ r1_xxreal_0(28,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r14,axiom,( ~ r1_xxreal_0(28,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r15,axiom,( ~ r1_xxreal_0(28,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r16,axiom,( ~ r1_xxreal_0(28,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r17,axiom,( ~ r1_xxreal_0(28,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r18,axiom,( ~ r1_xxreal_0(28,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r19,axiom,( ~ r1_xxreal_0(28,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r2,axiom,( ~ r1_xxreal_0(28,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r20,axiom,( ~ r1_xxreal_0(28,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r21,axiom,( ~ r1_xxreal_0(28,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r22,axiom,( ~ r1_xxreal_0(28,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r23,axiom,( ~ r1_xxreal_0(28,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r24,axiom,( ~ r1_xxreal_0(28,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r25,axiom,( ~ r1_xxreal_0(28,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r26,axiom,( ~ r1_xxreal_0(28,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r27,axiom,( ~ r1_xxreal_0(28,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r28,axiom,( r1_xxreal_0(28,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r29,axiom,( r1_xxreal_0(28,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r3,axiom,( ~ r1_xxreal_0(28,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r30,axiom,( r1_xxreal_0(28,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r31,axiom,( r1_xxreal_0(28,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r32,axiom,( r1_xxreal_0(28,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r33,axiom,( r1_xxreal_0(28,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r34,axiom,( r1_xxreal_0(28,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r35,axiom,( r1_xxreal_0(28,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r36,axiom,( r1_xxreal_0(28,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r37,axiom,( r1_xxreal_0(28,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r38,axiom,( r1_xxreal_0(28,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r39,axiom,( r1_xxreal_0(28,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r4,axiom,( ~ r1_xxreal_0(28,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r40,axiom,( r1_xxreal_0(28,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r41,axiom,( r1_xxreal_0(28,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r42,axiom,( r1_xxreal_0(28,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r43,axiom,( r1_xxreal_0(28,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r44,axiom,( r1_xxreal_0(28,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r45,axiom,( r1_xxreal_0(28,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r46,axiom,( r1_xxreal_0(28,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r47,axiom,( r1_xxreal_0(28,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r48,axiom,( r1_xxreal_0(28,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r49,axiom,( r1_xxreal_0(28,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r5,axiom,( ~ r1_xxreal_0(28,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r50,axiom,( r1_xxreal_0(28,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r51,axiom,( r1_xxreal_0(28,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r52,axiom,( r1_xxreal_0(28,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r53,axiom,( r1_xxreal_0(28,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r54,axiom,( r1_xxreal_0(28,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r55,axiom,( r1_xxreal_0(28,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r56,axiom,( r1_xxreal_0(28,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r57,axiom,( r1_xxreal_0(28,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r58,axiom,( r1_xxreal_0(28,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r59,axiom,( r1_xxreal_0(28,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r6,axiom,( ~ r1_xxreal_0(28,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r60,axiom,( r1_xxreal_0(28,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r61,axiom,( r1_xxreal_0(28,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r62,axiom,( r1_xxreal_0(28,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r63,axiom,( r1_xxreal_0(28,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r64,axiom,( r1_xxreal_0(28,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r7,axiom,( ~ r1_xxreal_0(28,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r8,axiom,( ~ r1_xxreal_0(28,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r84,axiom,( r1_xxreal_0(28,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_r9,axiom,( ~ r1_xxreal_0(28,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r28_rn7d2,axiom,( ~ r1_xxreal_0(28,k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r290_r0,axiom,( ~ r1_xxreal_0(290,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r290_r1,axiom,( ~ r1_xxreal_0(290,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r290_r10,axiom,( ~ r1_xxreal_0(290,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r290_r2,axiom,( ~ r1_xxreal_0(290,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r290_r29,axiom,( ~ r1_xxreal_0(290,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r290_r3,axiom,( ~ r1_xxreal_0(290,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r290_r97,axiom,( ~ r1_xxreal_0(290,97) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r0,axiom,( ~ r1_xxreal_0(291,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r1,axiom,( ~ r1_xxreal_0(291,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r10,axiom,( ~ r1_xxreal_0(291,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r2,axiom,( ~ r1_xxreal_0(291,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r29,axiom,( ~ r1_xxreal_0(291,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r290,axiom,( ~ r1_xxreal_0(291,290) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r3,axiom,( ~ r1_xxreal_0(291,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r291_r97,axiom,( ~ r1_xxreal_0(291,97) )).
fof(rqLessOrEqual__r1_xxreal_0__r299_r0,axiom,( ~ r1_xxreal_0(299,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r299_r13,axiom,( ~ r1_xxreal_0(299,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r299_r18,axiom,( ~ r1_xxreal_0(299,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r299_r23,axiom,( ~ r1_xxreal_0(299,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r0,axiom,( ~ r1_xxreal_0(29,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r1,axiom,( ~ r1_xxreal_0(29,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r10,axiom,( ~ r1_xxreal_0(29,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r11,axiom,( ~ r1_xxreal_0(29,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r12,axiom,( ~ r1_xxreal_0(29,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r13,axiom,( ~ r1_xxreal_0(29,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r14,axiom,( ~ r1_xxreal_0(29,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r15,axiom,( ~ r1_xxreal_0(29,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r16,axiom,( ~ r1_xxreal_0(29,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r17,axiom,( ~ r1_xxreal_0(29,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r18,axiom,( ~ r1_xxreal_0(29,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r19,axiom,( ~ r1_xxreal_0(29,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r2,axiom,( ~ r1_xxreal_0(29,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r20,axiom,( ~ r1_xxreal_0(29,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r21,axiom,( ~ r1_xxreal_0(29,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r22,axiom,( ~ r1_xxreal_0(29,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r23,axiom,( ~ r1_xxreal_0(29,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r24,axiom,( ~ r1_xxreal_0(29,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r25,axiom,( ~ r1_xxreal_0(29,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r26,axiom,( ~ r1_xxreal_0(29,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r27,axiom,( ~ r1_xxreal_0(29,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r28,axiom,( ~ r1_xxreal_0(29,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r29,axiom,( r1_xxreal_0(29,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r3,axiom,( ~ r1_xxreal_0(29,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r30,axiom,( r1_xxreal_0(29,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r31,axiom,( r1_xxreal_0(29,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r32,axiom,( r1_xxreal_0(29,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r33,axiom,( r1_xxreal_0(29,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r34,axiom,( r1_xxreal_0(29,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r35,axiom,( r1_xxreal_0(29,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r36,axiom,( r1_xxreal_0(29,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r37,axiom,( r1_xxreal_0(29,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r38,axiom,( r1_xxreal_0(29,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r39,axiom,( r1_xxreal_0(29,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r4,axiom,( ~ r1_xxreal_0(29,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r40,axiom,( r1_xxreal_0(29,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r41,axiom,( r1_xxreal_0(29,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r42,axiom,( r1_xxreal_0(29,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r43,axiom,( r1_xxreal_0(29,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r44,axiom,( r1_xxreal_0(29,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r45,axiom,( r1_xxreal_0(29,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r46,axiom,( r1_xxreal_0(29,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r47,axiom,( r1_xxreal_0(29,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r48,axiom,( r1_xxreal_0(29,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r49,axiom,( r1_xxreal_0(29,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r5,axiom,( ~ r1_xxreal_0(29,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r50,axiom,( r1_xxreal_0(29,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r51,axiom,( r1_xxreal_0(29,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r52,axiom,( r1_xxreal_0(29,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r53,axiom,( r1_xxreal_0(29,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r54,axiom,( r1_xxreal_0(29,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r55,axiom,( r1_xxreal_0(29,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r56,axiom,( r1_xxreal_0(29,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r57,axiom,( r1_xxreal_0(29,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r58,axiom,( r1_xxreal_0(29,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r59,axiom,( r1_xxreal_0(29,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r6,axiom,( ~ r1_xxreal_0(29,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r60,axiom,( r1_xxreal_0(29,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r61,axiom,( r1_xxreal_0(29,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r62,axiom,( r1_xxreal_0(29,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r63,axiom,( r1_xxreal_0(29,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r64,axiom,( r1_xxreal_0(29,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r7,axiom,( ~ r1_xxreal_0(29,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r8,axiom,( ~ r1_xxreal_0(29,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r841,axiom,( r1_xxreal_0(29,841) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_r9,axiom,( ~ r1_xxreal_0(29,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r29_rm1,axiom,( ~ r1_xxreal_0(29,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0,axiom,( ~ r1_xxreal_0(2,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1,axiom,( ~ r1_xxreal_0(2,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r10,axiom,( r1_xxreal_0(2,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r100,axiom,( r1_xxreal_0(2,100) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r11,axiom,( r1_xxreal_0(2,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r12,axiom,( r1_xxreal_0(2,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r120,axiom,( r1_xxreal_0(2,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r128,axiom,( r1_xxreal_0(2,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r13,axiom,( r1_xxreal_0(2,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r14,axiom,( r1_xxreal_0(2,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r15,axiom,( r1_xxreal_0(2,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r159,axiom,( r1_xxreal_0(2,159) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r16,axiom,( r1_xxreal_0(2,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r163,axiom,( r1_xxreal_0(2,163) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r166,axiom,( r1_xxreal_0(2,166) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r17,axiom,( r1_xxreal_0(2,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r18,axiom,( r1_xxreal_0(2,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r19,axiom,( r1_xxreal_0(2,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2,axiom,( r1_xxreal_0(2,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r20,axiom,( r1_xxreal_0(2,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r21,axiom,( r1_xxreal_0(2,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r22,axiom,( r1_xxreal_0(2,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r23,axiom,( r1_xxreal_0(2,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r24,axiom,( r1_xxreal_0(2,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r25,axiom,( r1_xxreal_0(2,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r256,axiom,( r1_xxreal_0(2,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r26,axiom,( r1_xxreal_0(2,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r27,axiom,( r1_xxreal_0(2,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r28,axiom,( r1_xxreal_0(2,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r29,axiom,( r1_xxreal_0(2,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3,axiom,( r1_xxreal_0(2,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r30,axiom,( r1_xxreal_0(2,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r31,axiom,( r1_xxreal_0(2,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r317,axiom,( r1_xxreal_0(2,317) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r32,axiom,( r1_xxreal_0(2,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r326,axiom,( r1_xxreal_0(2,326) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r33,axiom,( r1_xxreal_0(2,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r34,axiom,( r1_xxreal_0(2,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r35,axiom,( r1_xxreal_0(2,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r36,axiom,( r1_xxreal_0(2,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r37,axiom,( r1_xxreal_0(2,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r38,axiom,( r1_xxreal_0(2,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r39,axiom,( r1_xxreal_0(2,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4,axiom,( r1_xxreal_0(2,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r40,axiom,( r1_xxreal_0(2,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r400,axiom,( r1_xxreal_0(2,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r41,axiom,( r1_xxreal_0(2,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r42,axiom,( r1_xxreal_0(2,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r43,axiom,( r1_xxreal_0(2,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r44,axiom,( r1_xxreal_0(2,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r45,axiom,( r1_xxreal_0(2,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r46,axiom,( r1_xxreal_0(2,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r47,axiom,( r1_xxreal_0(2,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r48,axiom,( r1_xxreal_0(2,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r49,axiom,( r1_xxreal_0(2,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5,axiom,( r1_xxreal_0(2,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r50,axiom,( r1_xxreal_0(2,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r51,axiom,( r1_xxreal_0(2,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r52,axiom,( r1_xxreal_0(2,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r53,axiom,( r1_xxreal_0(2,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r54,axiom,( r1_xxreal_0(2,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r55,axiom,( r1_xxreal_0(2,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r56,axiom,( r1_xxreal_0(2,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r57,axiom,( r1_xxreal_0(2,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r58,axiom,( r1_xxreal_0(2,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r59,axiom,( r1_xxreal_0(2,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r6,axiom,( r1_xxreal_0(2,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r60,axiom,( r1_xxreal_0(2,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r61,axiom,( r1_xxreal_0(2,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r62,axiom,( r1_xxreal_0(2,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r63,axiom,( r1_xxreal_0(2,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r631,axiom,( r1_xxreal_0(2,631) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r634,axiom,( r1_xxreal_0(2,634) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r64,axiom,( r1_xxreal_0(2,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r641,axiom,( r1_xxreal_0(2,641) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7,axiom,( r1_xxreal_0(2,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r72,axiom,( r1_xxreal_0(2,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r73,axiom,( r1_xxreal_0(2,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8,axiom,( r1_xxreal_0(2,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r800,axiom,( r1_xxreal_0(2,800) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r81,axiom,( r1_xxreal_0(2,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r83,axiom,( r1_xxreal_0(2,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r84,axiom,( r1_xxreal_0(2,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r86,axiom,( r1_xxreal_0(2,86) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r9,axiom,( r1_xxreal_0(2,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_r96,axiom,( r1_xxreal_0(2,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm4,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm44,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm5,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm6,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm7,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm8,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm9,axiom,( ~ r1_xxreal_0(2,k4_xcmplx_0(9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn159d100,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn17d4,axiom,( r1_xxreal_0(2,k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn19d5,axiom,( r1_xxreal_0(2,k7_xcmplx_0(19,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d100,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d16,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d2,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d24,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d256,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d3,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d4,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d6,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d8,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn2d3,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn2d9,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d2,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d4,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d5,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn4d5,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(4,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn5d2,axiom,( r1_xxreal_0(2,k7_xcmplx_0(5,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn5d4,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn5d6,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn7d3,axiom,( r1_xxreal_0(2,k7_xcmplx_0(7,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn9d10,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn9d4,axiom,( r1_xxreal_0(2,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm159d100,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d4,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d6,axiom,( ~ r1_xxreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r304_r0,axiom,( ~ r1_xxreal_0(304,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r304_r13,axiom,( ~ r1_xxreal_0(304,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r304_r16,axiom,( ~ r1_xxreal_0(304,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r304_r19,axiom,( ~ r1_xxreal_0(304,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r306_r0,axiom,( ~ r1_xxreal_0(306,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r306_r11,axiom,( ~ r1_xxreal_0(306,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r306_r17,axiom,( ~ r1_xxreal_0(306,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r306_r18,axiom,( ~ r1_xxreal_0(306,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r308_r0,axiom,( ~ r1_xxreal_0(308,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r308_r11,axiom,( ~ r1_xxreal_0(308,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r308_r28,axiom,( ~ r1_xxreal_0(308,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r308_r9,axiom,( ~ r1_xxreal_0(308,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r0,axiom,( ~ r1_xxreal_0(30,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r1,axiom,( ~ r1_xxreal_0(30,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r10,axiom,( ~ r1_xxreal_0(30,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r11,axiom,( ~ r1_xxreal_0(30,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r12,axiom,( ~ r1_xxreal_0(30,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r13,axiom,( ~ r1_xxreal_0(30,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r14,axiom,( ~ r1_xxreal_0(30,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r15,axiom,( ~ r1_xxreal_0(30,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r16,axiom,( ~ r1_xxreal_0(30,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r17,axiom,( ~ r1_xxreal_0(30,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r18,axiom,( ~ r1_xxreal_0(30,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r19,axiom,( ~ r1_xxreal_0(30,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r2,axiom,( ~ r1_xxreal_0(30,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r20,axiom,( ~ r1_xxreal_0(30,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r21,axiom,( ~ r1_xxreal_0(30,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r22,axiom,( ~ r1_xxreal_0(30,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r23,axiom,( ~ r1_xxreal_0(30,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r24,axiom,( ~ r1_xxreal_0(30,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r25,axiom,( ~ r1_xxreal_0(30,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r26,axiom,( ~ r1_xxreal_0(30,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r27,axiom,( ~ r1_xxreal_0(30,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r28,axiom,( ~ r1_xxreal_0(30,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r29,axiom,( ~ r1_xxreal_0(30,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r3,axiom,( ~ r1_xxreal_0(30,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r30,axiom,( r1_xxreal_0(30,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r31,axiom,( r1_xxreal_0(30,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r32,axiom,( r1_xxreal_0(30,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r33,axiom,( r1_xxreal_0(30,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r34,axiom,( r1_xxreal_0(30,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r35,axiom,( r1_xxreal_0(30,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r36,axiom,( r1_xxreal_0(30,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r37,axiom,( r1_xxreal_0(30,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r38,axiom,( r1_xxreal_0(30,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r39,axiom,( r1_xxreal_0(30,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r4,axiom,( ~ r1_xxreal_0(30,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r40,axiom,( r1_xxreal_0(30,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r41,axiom,( r1_xxreal_0(30,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r42,axiom,( r1_xxreal_0(30,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r43,axiom,( r1_xxreal_0(30,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r44,axiom,( r1_xxreal_0(30,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r45,axiom,( r1_xxreal_0(30,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r46,axiom,( r1_xxreal_0(30,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r47,axiom,( r1_xxreal_0(30,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r48,axiom,( r1_xxreal_0(30,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r49,axiom,( r1_xxreal_0(30,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r5,axiom,( ~ r1_xxreal_0(30,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r50,axiom,( r1_xxreal_0(30,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r51,axiom,( r1_xxreal_0(30,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r52,axiom,( r1_xxreal_0(30,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r53,axiom,( r1_xxreal_0(30,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r54,axiom,( r1_xxreal_0(30,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r55,axiom,( r1_xxreal_0(30,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r56,axiom,( r1_xxreal_0(30,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r57,axiom,( r1_xxreal_0(30,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r58,axiom,( r1_xxreal_0(30,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r59,axiom,( r1_xxreal_0(30,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r6,axiom,( ~ r1_xxreal_0(30,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r60,axiom,( r1_xxreal_0(30,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r61,axiom,( r1_xxreal_0(30,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r62,axiom,( r1_xxreal_0(30,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r63,axiom,( r1_xxreal_0(30,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r64,axiom,( r1_xxreal_0(30,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r7,axiom,( ~ r1_xxreal_0(30,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r8,axiom,( ~ r1_xxreal_0(30,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_r9,axiom,( ~ r1_xxreal_0(30,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r30_rm1,axiom,( ~ r1_xxreal_0(30,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r312_r0,axiom,( ~ r1_xxreal_0(312,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r312_r13,axiom,( ~ r1_xxreal_0(312,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r312_r24,axiom,( ~ r1_xxreal_0(312,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r312_r5,axiom,( ~ r1_xxreal_0(312,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r0,axiom,( ~ r1_xxreal_0(315,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r1,axiom,( ~ r1_xxreal_0(315,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r105,axiom,( ~ r1_xxreal_0(315,105) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r2,axiom,( ~ r1_xxreal_0(315,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r3,axiom,( ~ r1_xxreal_0(315,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r45,axiom,( ~ r1_xxreal_0(315,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r5,axiom,( ~ r1_xxreal_0(315,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r63,axiom,( ~ r1_xxreal_0(315,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r315_r7,axiom,( ~ r1_xxreal_0(315,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r316_r0,axiom,( ~ r1_xxreal_0(316,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r316_r1,axiom,( ~ r1_xxreal_0(316,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r316_r158,axiom,( ~ r1_xxreal_0(316,158) )).
fof(rqLessOrEqual__r1_xxreal_0__r316_r2,axiom,( ~ r1_xxreal_0(316,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r0,axiom,( ~ r1_xxreal_0(317,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r1,axiom,( ~ r1_xxreal_0(317,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r105,axiom,( ~ r1_xxreal_0(317,105) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r11,axiom,( ~ r1_xxreal_0(317,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r13,axiom,( ~ r1_xxreal_0(317,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r158,axiom,( ~ r1_xxreal_0(317,158) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r16,axiom,( ~ r1_xxreal_0(317,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r163,axiom,( ~ r1_xxreal_0(317,163) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r17,axiom,( ~ r1_xxreal_0(317,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r18,axiom,( ~ r1_xxreal_0(317,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r19,axiom,( ~ r1_xxreal_0(317,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r2,axiom,( ~ r1_xxreal_0(317,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r23,axiom,( ~ r1_xxreal_0(317,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r24,axiom,( ~ r1_xxreal_0(317,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r28,axiom,( ~ r1_xxreal_0(317,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r299,axiom,( ~ r1_xxreal_0(317,299) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r3,axiom,( ~ r1_xxreal_0(317,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r304,axiom,( ~ r1_xxreal_0(317,304) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r306,axiom,( ~ r1_xxreal_0(317,306) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r308,axiom,( ~ r1_xxreal_0(317,308) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r312,axiom,( ~ r1_xxreal_0(317,312) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r315,axiom,( ~ r1_xxreal_0(317,315) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r316,axiom,( ~ r1_xxreal_0(317,316) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r317,axiom,( r1_xxreal_0(317,317) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r326,axiom,( r1_xxreal_0(317,326) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r45,axiom,( ~ r1_xxreal_0(317,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r5,axiom,( ~ r1_xxreal_0(317,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r63,axiom,( ~ r1_xxreal_0(317,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r631,axiom,( r1_xxreal_0(317,631) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r634,axiom,( r1_xxreal_0(317,634) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r7,axiom,( ~ r1_xxreal_0(317,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r317_r9,axiom,( ~ r1_xxreal_0(317,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r0,axiom,( ~ r1_xxreal_0(31,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r1,axiom,( ~ r1_xxreal_0(31,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r10,axiom,( ~ r1_xxreal_0(31,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r11,axiom,( ~ r1_xxreal_0(31,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r12,axiom,( ~ r1_xxreal_0(31,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r13,axiom,( ~ r1_xxreal_0(31,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r14,axiom,( ~ r1_xxreal_0(31,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r15,axiom,( ~ r1_xxreal_0(31,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r16,axiom,( ~ r1_xxreal_0(31,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r17,axiom,( ~ r1_xxreal_0(31,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r18,axiom,( ~ r1_xxreal_0(31,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r19,axiom,( ~ r1_xxreal_0(31,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r2,axiom,( ~ r1_xxreal_0(31,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r20,axiom,( ~ r1_xxreal_0(31,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r21,axiom,( ~ r1_xxreal_0(31,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r22,axiom,( ~ r1_xxreal_0(31,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r23,axiom,( ~ r1_xxreal_0(31,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r24,axiom,( ~ r1_xxreal_0(31,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r25,axiom,( ~ r1_xxreal_0(31,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r26,axiom,( ~ r1_xxreal_0(31,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r27,axiom,( ~ r1_xxreal_0(31,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r28,axiom,( ~ r1_xxreal_0(31,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r29,axiom,( ~ r1_xxreal_0(31,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r3,axiom,( ~ r1_xxreal_0(31,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r30,axiom,( ~ r1_xxreal_0(31,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r31,axiom,( r1_xxreal_0(31,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r32,axiom,( r1_xxreal_0(31,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r33,axiom,( r1_xxreal_0(31,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r34,axiom,( r1_xxreal_0(31,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r35,axiom,( r1_xxreal_0(31,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r36,axiom,( r1_xxreal_0(31,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r37,axiom,( r1_xxreal_0(31,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r38,axiom,( r1_xxreal_0(31,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r39,axiom,( r1_xxreal_0(31,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r4,axiom,( ~ r1_xxreal_0(31,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r40,axiom,( r1_xxreal_0(31,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r41,axiom,( r1_xxreal_0(31,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r42,axiom,( r1_xxreal_0(31,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r43,axiom,( r1_xxreal_0(31,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r44,axiom,( r1_xxreal_0(31,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r45,axiom,( r1_xxreal_0(31,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r46,axiom,( r1_xxreal_0(31,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r47,axiom,( r1_xxreal_0(31,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r48,axiom,( r1_xxreal_0(31,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r49,axiom,( r1_xxreal_0(31,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r5,axiom,( ~ r1_xxreal_0(31,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r50,axiom,( r1_xxreal_0(31,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r51,axiom,( r1_xxreal_0(31,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r52,axiom,( r1_xxreal_0(31,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r53,axiom,( r1_xxreal_0(31,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r54,axiom,( r1_xxreal_0(31,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r55,axiom,( r1_xxreal_0(31,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r56,axiom,( r1_xxreal_0(31,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r57,axiom,( r1_xxreal_0(31,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r58,axiom,( r1_xxreal_0(31,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r59,axiom,( r1_xxreal_0(31,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r6,axiom,( ~ r1_xxreal_0(31,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r60,axiom,( r1_xxreal_0(31,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r61,axiom,( r1_xxreal_0(31,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r62,axiom,( r1_xxreal_0(31,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r63,axiom,( r1_xxreal_0(31,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r64,axiom,( r1_xxreal_0(31,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r7,axiom,( ~ r1_xxreal_0(31,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r8,axiom,( ~ r1_xxreal_0(31,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r31_r9,axiom,( ~ r1_xxreal_0(31,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r0,axiom,( ~ r1_xxreal_0(325,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r1,axiom,( ~ r1_xxreal_0(325,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r123,axiom,( ~ r1_xxreal_0(325,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r14,axiom,( ~ r1_xxreal_0(325,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r2,axiom,( ~ r1_xxreal_0(325,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r241,axiom,( ~ r1_xxreal_0(325,241) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r256,axiom,( ~ r1_xxreal_0(325,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r325_r4,axiom,( ~ r1_xxreal_0(325,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r326_r163,axiom,( ~ r1_xxreal_0(326,163) )).
fof(rqLessOrEqual__r1_xxreal_0__r326_r2,axiom,( ~ r1_xxreal_0(326,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r326_r317,axiom,( ~ r1_xxreal_0(326,317) )).
fof(rqLessOrEqual__r1_xxreal_0__r326_r326,axiom,( r1_xxreal_0(326,326) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r0,axiom,( ~ r1_xxreal_0(32,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r1,axiom,( ~ r1_xxreal_0(32,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r10,axiom,( ~ r1_xxreal_0(32,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r11,axiom,( ~ r1_xxreal_0(32,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r12,axiom,( ~ r1_xxreal_0(32,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r120,axiom,( r1_xxreal_0(32,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r121,axiom,( r1_xxreal_0(32,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r128,axiom,( r1_xxreal_0(32,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r129,axiom,( r1_xxreal_0(32,129) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r13,axiom,( ~ r1_xxreal_0(32,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r14,axiom,( ~ r1_xxreal_0(32,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r15,axiom,( ~ r1_xxreal_0(32,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r16,axiom,( ~ r1_xxreal_0(32,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r17,axiom,( ~ r1_xxreal_0(32,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r18,axiom,( ~ r1_xxreal_0(32,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r19,axiom,( ~ r1_xxreal_0(32,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r2,axiom,( ~ r1_xxreal_0(32,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r20,axiom,( ~ r1_xxreal_0(32,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r21,axiom,( ~ r1_xxreal_0(32,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r22,axiom,( ~ r1_xxreal_0(32,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r23,axiom,( ~ r1_xxreal_0(32,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r24,axiom,( ~ r1_xxreal_0(32,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r25,axiom,( ~ r1_xxreal_0(32,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r26,axiom,( ~ r1_xxreal_0(32,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r27,axiom,( ~ r1_xxreal_0(32,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r28,axiom,( ~ r1_xxreal_0(32,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r29,axiom,( ~ r1_xxreal_0(32,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r3,axiom,( ~ r1_xxreal_0(32,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r30,axiom,( ~ r1_xxreal_0(32,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r31,axiom,( ~ r1_xxreal_0(32,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r32,axiom,( r1_xxreal_0(32,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r33,axiom,( r1_xxreal_0(32,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r34,axiom,( r1_xxreal_0(32,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r35,axiom,( r1_xxreal_0(32,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r36,axiom,( r1_xxreal_0(32,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r37,axiom,( r1_xxreal_0(32,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r38,axiom,( r1_xxreal_0(32,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r39,axiom,( r1_xxreal_0(32,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r4,axiom,( ~ r1_xxreal_0(32,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r40,axiom,( r1_xxreal_0(32,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r41,axiom,( r1_xxreal_0(32,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r42,axiom,( r1_xxreal_0(32,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r43,axiom,( r1_xxreal_0(32,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r44,axiom,( r1_xxreal_0(32,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r45,axiom,( r1_xxreal_0(32,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r46,axiom,( r1_xxreal_0(32,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r47,axiom,( r1_xxreal_0(32,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r48,axiom,( r1_xxreal_0(32,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r49,axiom,( r1_xxreal_0(32,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r5,axiom,( ~ r1_xxreal_0(32,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r50,axiom,( r1_xxreal_0(32,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r51,axiom,( r1_xxreal_0(32,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r52,axiom,( r1_xxreal_0(32,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r53,axiom,( r1_xxreal_0(32,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r54,axiom,( r1_xxreal_0(32,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r55,axiom,( r1_xxreal_0(32,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r56,axiom,( r1_xxreal_0(32,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r57,axiom,( r1_xxreal_0(32,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r58,axiom,( r1_xxreal_0(32,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r59,axiom,( r1_xxreal_0(32,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r6,axiom,( ~ r1_xxreal_0(32,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r60,axiom,( r1_xxreal_0(32,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r61,axiom,( r1_xxreal_0(32,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r62,axiom,( r1_xxreal_0(32,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r63,axiom,( r1_xxreal_0(32,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r64,axiom,( r1_xxreal_0(32,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r641,axiom,( r1_xxreal_0(32,641) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r7,axiom,( ~ r1_xxreal_0(32,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r8,axiom,( ~ r1_xxreal_0(32,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r9,axiom,( ~ r1_xxreal_0(32,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r32_r96,axiom,( r1_xxreal_0(32,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r0,axiom,( ~ r1_xxreal_0(332,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r1,axiom,( ~ r1_xxreal_0(332,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r123,axiom,( ~ r1_xxreal_0(332,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r164,axiom,( ~ r1_xxreal_0(332,164) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r172,axiom,( ~ r1_xxreal_0(332,172) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r2,axiom,( ~ r1_xxreal_0(332,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r256,axiom,( ~ r1_xxreal_0(332,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r263,axiom,( ~ r1_xxreal_0(332,263) )).
fof(rqLessOrEqual__r1_xxreal_0__r332_r4,axiom,( ~ r1_xxreal_0(332,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r335_r0,axiom,( ~ r1_xxreal_0(335,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r335_r231,axiom,( ~ r1_xxreal_0(335,231) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r0,axiom,( ~ r1_xxreal_0(33,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r1,axiom,( ~ r1_xxreal_0(33,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r10,axiom,( ~ r1_xxreal_0(33,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r11,axiom,( ~ r1_xxreal_0(33,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r12,axiom,( ~ r1_xxreal_0(33,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r13,axiom,( ~ r1_xxreal_0(33,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r14,axiom,( ~ r1_xxreal_0(33,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r15,axiom,( ~ r1_xxreal_0(33,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r16,axiom,( ~ r1_xxreal_0(33,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r17,axiom,( ~ r1_xxreal_0(33,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r18,axiom,( ~ r1_xxreal_0(33,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r19,axiom,( ~ r1_xxreal_0(33,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r2,axiom,( ~ r1_xxreal_0(33,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r20,axiom,( ~ r1_xxreal_0(33,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r21,axiom,( ~ r1_xxreal_0(33,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r22,axiom,( ~ r1_xxreal_0(33,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r23,axiom,( ~ r1_xxreal_0(33,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r24,axiom,( ~ r1_xxreal_0(33,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r25,axiom,( ~ r1_xxreal_0(33,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r26,axiom,( ~ r1_xxreal_0(33,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r27,axiom,( ~ r1_xxreal_0(33,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r28,axiom,( ~ r1_xxreal_0(33,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r29,axiom,( ~ r1_xxreal_0(33,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r3,axiom,( ~ r1_xxreal_0(33,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r30,axiom,( ~ r1_xxreal_0(33,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r31,axiom,( ~ r1_xxreal_0(33,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r32,axiom,( ~ r1_xxreal_0(33,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r33,axiom,( r1_xxreal_0(33,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r34,axiom,( r1_xxreal_0(33,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r35,axiom,( r1_xxreal_0(33,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r36,axiom,( r1_xxreal_0(33,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r37,axiom,( r1_xxreal_0(33,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r38,axiom,( r1_xxreal_0(33,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r39,axiom,( r1_xxreal_0(33,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r4,axiom,( ~ r1_xxreal_0(33,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r40,axiom,( r1_xxreal_0(33,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r41,axiom,( r1_xxreal_0(33,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r42,axiom,( r1_xxreal_0(33,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r43,axiom,( r1_xxreal_0(33,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r44,axiom,( r1_xxreal_0(33,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r45,axiom,( r1_xxreal_0(33,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r46,axiom,( r1_xxreal_0(33,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r47,axiom,( r1_xxreal_0(33,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r48,axiom,( r1_xxreal_0(33,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r49,axiom,( r1_xxreal_0(33,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r5,axiom,( ~ r1_xxreal_0(33,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r50,axiom,( r1_xxreal_0(33,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r51,axiom,( r1_xxreal_0(33,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r52,axiom,( r1_xxreal_0(33,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r53,axiom,( r1_xxreal_0(33,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r54,axiom,( r1_xxreal_0(33,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r55,axiom,( r1_xxreal_0(33,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r56,axiom,( r1_xxreal_0(33,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r57,axiom,( r1_xxreal_0(33,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r58,axiom,( r1_xxreal_0(33,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r59,axiom,( r1_xxreal_0(33,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r6,axiom,( ~ r1_xxreal_0(33,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r60,axiom,( r1_xxreal_0(33,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r61,axiom,( r1_xxreal_0(33,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r62,axiom,( r1_xxreal_0(33,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r63,axiom,( r1_xxreal_0(33,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r64,axiom,( r1_xxreal_0(33,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r7,axiom,( ~ r1_xxreal_0(33,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r8,axiom,( ~ r1_xxreal_0(33,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r33_r9,axiom,( ~ r1_xxreal_0(33,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r342_r0,axiom,( ~ r1_xxreal_0(342,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r0,axiom,( ~ r1_xxreal_0(34,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r1,axiom,( ~ r1_xxreal_0(34,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r10,axiom,( ~ r1_xxreal_0(34,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r11,axiom,( ~ r1_xxreal_0(34,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r12,axiom,( ~ r1_xxreal_0(34,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r13,axiom,( ~ r1_xxreal_0(34,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r14,axiom,( ~ r1_xxreal_0(34,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r15,axiom,( ~ r1_xxreal_0(34,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r16,axiom,( ~ r1_xxreal_0(34,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r17,axiom,( ~ r1_xxreal_0(34,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r18,axiom,( ~ r1_xxreal_0(34,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r19,axiom,( ~ r1_xxreal_0(34,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r2,axiom,( ~ r1_xxreal_0(34,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r20,axiom,( ~ r1_xxreal_0(34,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r21,axiom,( ~ r1_xxreal_0(34,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r22,axiom,( ~ r1_xxreal_0(34,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r23,axiom,( ~ r1_xxreal_0(34,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r24,axiom,( ~ r1_xxreal_0(34,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r25,axiom,( ~ r1_xxreal_0(34,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r26,axiom,( ~ r1_xxreal_0(34,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r27,axiom,( ~ r1_xxreal_0(34,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r28,axiom,( ~ r1_xxreal_0(34,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r29,axiom,( ~ r1_xxreal_0(34,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r3,axiom,( ~ r1_xxreal_0(34,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r30,axiom,( ~ r1_xxreal_0(34,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r31,axiom,( ~ r1_xxreal_0(34,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r32,axiom,( ~ r1_xxreal_0(34,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r33,axiom,( ~ r1_xxreal_0(34,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r34,axiom,( r1_xxreal_0(34,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r35,axiom,( r1_xxreal_0(34,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r36,axiom,( r1_xxreal_0(34,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r37,axiom,( r1_xxreal_0(34,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r38,axiom,( r1_xxreal_0(34,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r39,axiom,( r1_xxreal_0(34,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r4,axiom,( ~ r1_xxreal_0(34,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r40,axiom,( r1_xxreal_0(34,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r41,axiom,( r1_xxreal_0(34,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r42,axiom,( r1_xxreal_0(34,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r43,axiom,( r1_xxreal_0(34,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r44,axiom,( r1_xxreal_0(34,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r45,axiom,( r1_xxreal_0(34,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r46,axiom,( r1_xxreal_0(34,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r47,axiom,( r1_xxreal_0(34,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r48,axiom,( r1_xxreal_0(34,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r49,axiom,( r1_xxreal_0(34,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r5,axiom,( ~ r1_xxreal_0(34,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r50,axiom,( r1_xxreal_0(34,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r51,axiom,( r1_xxreal_0(34,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r52,axiom,( r1_xxreal_0(34,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r53,axiom,( r1_xxreal_0(34,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r54,axiom,( r1_xxreal_0(34,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r55,axiom,( r1_xxreal_0(34,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r56,axiom,( r1_xxreal_0(34,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r57,axiom,( r1_xxreal_0(34,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r58,axiom,( r1_xxreal_0(34,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r59,axiom,( r1_xxreal_0(34,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r6,axiom,( ~ r1_xxreal_0(34,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r60,axiom,( r1_xxreal_0(34,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r61,axiom,( r1_xxreal_0(34,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r62,axiom,( r1_xxreal_0(34,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r63,axiom,( r1_xxreal_0(34,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r64,axiom,( r1_xxreal_0(34,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r7,axiom,( ~ r1_xxreal_0(34,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r8,axiom,( ~ r1_xxreal_0(34,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r34_r9,axiom,( ~ r1_xxreal_0(34,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r359_r0,axiom,( ~ r1_xxreal_0(359,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r359_r16,axiom,( ~ r1_xxreal_0(359,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r359_r4,axiom,( ~ r1_xxreal_0(359,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r359_r51,axiom,( ~ r1_xxreal_0(359,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r359_r64,axiom,( ~ r1_xxreal_0(359,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r359_r9,axiom,( ~ r1_xxreal_0(359,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r0,axiom,( ~ r1_xxreal_0(35,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r1,axiom,( ~ r1_xxreal_0(35,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r10,axiom,( ~ r1_xxreal_0(35,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r11,axiom,( ~ r1_xxreal_0(35,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r12,axiom,( ~ r1_xxreal_0(35,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r13,axiom,( ~ r1_xxreal_0(35,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r14,axiom,( ~ r1_xxreal_0(35,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r15,axiom,( ~ r1_xxreal_0(35,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r16,axiom,( ~ r1_xxreal_0(35,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r17,axiom,( ~ r1_xxreal_0(35,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r18,axiom,( ~ r1_xxreal_0(35,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r19,axiom,( ~ r1_xxreal_0(35,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r2,axiom,( ~ r1_xxreal_0(35,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r20,axiom,( ~ r1_xxreal_0(35,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r21,axiom,( ~ r1_xxreal_0(35,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r22,axiom,( ~ r1_xxreal_0(35,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r23,axiom,( ~ r1_xxreal_0(35,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r24,axiom,( ~ r1_xxreal_0(35,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r25,axiom,( ~ r1_xxreal_0(35,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r26,axiom,( ~ r1_xxreal_0(35,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r27,axiom,( ~ r1_xxreal_0(35,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r28,axiom,( ~ r1_xxreal_0(35,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r29,axiom,( ~ r1_xxreal_0(35,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r3,axiom,( ~ r1_xxreal_0(35,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r30,axiom,( ~ r1_xxreal_0(35,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r31,axiom,( ~ r1_xxreal_0(35,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r32,axiom,( ~ r1_xxreal_0(35,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r33,axiom,( ~ r1_xxreal_0(35,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r34,axiom,( ~ r1_xxreal_0(35,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r35,axiom,( r1_xxreal_0(35,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r36,axiom,( r1_xxreal_0(35,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r37,axiom,( r1_xxreal_0(35,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r38,axiom,( r1_xxreal_0(35,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r39,axiom,( r1_xxreal_0(35,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r4,axiom,( ~ r1_xxreal_0(35,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r40,axiom,( r1_xxreal_0(35,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r41,axiom,( r1_xxreal_0(35,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r42,axiom,( r1_xxreal_0(35,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r43,axiom,( r1_xxreal_0(35,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r44,axiom,( r1_xxreal_0(35,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r45,axiom,( r1_xxreal_0(35,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r46,axiom,( r1_xxreal_0(35,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r47,axiom,( r1_xxreal_0(35,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r48,axiom,( r1_xxreal_0(35,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r49,axiom,( r1_xxreal_0(35,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r5,axiom,( ~ r1_xxreal_0(35,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r50,axiom,( r1_xxreal_0(35,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r51,axiom,( r1_xxreal_0(35,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r52,axiom,( r1_xxreal_0(35,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r53,axiom,( r1_xxreal_0(35,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r54,axiom,( r1_xxreal_0(35,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r55,axiom,( r1_xxreal_0(35,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r56,axiom,( r1_xxreal_0(35,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r57,axiom,( r1_xxreal_0(35,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r58,axiom,( r1_xxreal_0(35,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r59,axiom,( r1_xxreal_0(35,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r6,axiom,( ~ r1_xxreal_0(35,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r60,axiom,( r1_xxreal_0(35,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r61,axiom,( r1_xxreal_0(35,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r62,axiom,( r1_xxreal_0(35,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r63,axiom,( r1_xxreal_0(35,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r64,axiom,( r1_xxreal_0(35,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r7,axiom,( ~ r1_xxreal_0(35,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r8,axiom,( ~ r1_xxreal_0(35,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r35_r9,axiom,( ~ r1_xxreal_0(35,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r365_r0,axiom,( ~ r1_xxreal_0(365,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r365_r2,axiom,( ~ r1_xxreal_0(365,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r365_r23,axiom,( ~ r1_xxreal_0(365,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r365_r365,axiom,( r1_xxreal_0(365,365) )).
fof(rqLessOrEqual__r1_xxreal_0__r365_rn1d2,axiom,( ~ r1_xxreal_0(365,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r0,axiom,( ~ r1_xxreal_0(36,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r1,axiom,( ~ r1_xxreal_0(36,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r10,axiom,( ~ r1_xxreal_0(36,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r11,axiom,( ~ r1_xxreal_0(36,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r12,axiom,( ~ r1_xxreal_0(36,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r13,axiom,( ~ r1_xxreal_0(36,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r14,axiom,( ~ r1_xxreal_0(36,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r15,axiom,( ~ r1_xxreal_0(36,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r16,axiom,( ~ r1_xxreal_0(36,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r17,axiom,( ~ r1_xxreal_0(36,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r18,axiom,( ~ r1_xxreal_0(36,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r19,axiom,( ~ r1_xxreal_0(36,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r2,axiom,( ~ r1_xxreal_0(36,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r20,axiom,( ~ r1_xxreal_0(36,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r21,axiom,( ~ r1_xxreal_0(36,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r22,axiom,( ~ r1_xxreal_0(36,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r23,axiom,( ~ r1_xxreal_0(36,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r24,axiom,( ~ r1_xxreal_0(36,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r25,axiom,( ~ r1_xxreal_0(36,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r26,axiom,( ~ r1_xxreal_0(36,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r27,axiom,( ~ r1_xxreal_0(36,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r28,axiom,( ~ r1_xxreal_0(36,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r29,axiom,( ~ r1_xxreal_0(36,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r3,axiom,( ~ r1_xxreal_0(36,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r30,axiom,( ~ r1_xxreal_0(36,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r31,axiom,( ~ r1_xxreal_0(36,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r32,axiom,( ~ r1_xxreal_0(36,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r33,axiom,( ~ r1_xxreal_0(36,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r34,axiom,( ~ r1_xxreal_0(36,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r35,axiom,( ~ r1_xxreal_0(36,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r36,axiom,( r1_xxreal_0(36,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r37,axiom,( r1_xxreal_0(36,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r38,axiom,( r1_xxreal_0(36,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r39,axiom,( r1_xxreal_0(36,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r4,axiom,( ~ r1_xxreal_0(36,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r40,axiom,( r1_xxreal_0(36,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r41,axiom,( r1_xxreal_0(36,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r42,axiom,( r1_xxreal_0(36,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r43,axiom,( r1_xxreal_0(36,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r44,axiom,( r1_xxreal_0(36,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r45,axiom,( r1_xxreal_0(36,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r46,axiom,( r1_xxreal_0(36,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r47,axiom,( r1_xxreal_0(36,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r48,axiom,( r1_xxreal_0(36,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r49,axiom,( r1_xxreal_0(36,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r5,axiom,( ~ r1_xxreal_0(36,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r50,axiom,( r1_xxreal_0(36,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r51,axiom,( r1_xxreal_0(36,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r52,axiom,( r1_xxreal_0(36,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r53,axiom,( r1_xxreal_0(36,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r54,axiom,( r1_xxreal_0(36,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r55,axiom,( r1_xxreal_0(36,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r56,axiom,( r1_xxreal_0(36,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r57,axiom,( r1_xxreal_0(36,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r58,axiom,( r1_xxreal_0(36,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r59,axiom,( r1_xxreal_0(36,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r6,axiom,( ~ r1_xxreal_0(36,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r60,axiom,( r1_xxreal_0(36,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r61,axiom,( r1_xxreal_0(36,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r62,axiom,( r1_xxreal_0(36,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r63,axiom,( r1_xxreal_0(36,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r64,axiom,( r1_xxreal_0(36,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r7,axiom,( ~ r1_xxreal_0(36,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r8,axiom,( ~ r1_xxreal_0(36,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r84,axiom,( r1_xxreal_0(36,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_r9,axiom,( ~ r1_xxreal_0(36,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_rn11d36,axiom,( ~ r1_xxreal_0(36,k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_rn1d36,axiom,( ~ r1_xxreal_0(36,k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_rn1d6,axiom,( ~ r1_xxreal_0(36,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_rn25d36,axiom,( ~ r1_xxreal_0(36,k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_rn5d6,axiom,( ~ r1_xxreal_0(36,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r36_rnm25d36,axiom,( ~ r1_xxreal_0(36,k7_xcmplx_0(k4_xcmplx_0(25),36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r0,axiom,( ~ r1_xxreal_0(37,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r1,axiom,( ~ r1_xxreal_0(37,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r10,axiom,( ~ r1_xxreal_0(37,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r11,axiom,( ~ r1_xxreal_0(37,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r12,axiom,( ~ r1_xxreal_0(37,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r13,axiom,( ~ r1_xxreal_0(37,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r14,axiom,( ~ r1_xxreal_0(37,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r15,axiom,( ~ r1_xxreal_0(37,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r16,axiom,( ~ r1_xxreal_0(37,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r17,axiom,( ~ r1_xxreal_0(37,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r18,axiom,( ~ r1_xxreal_0(37,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r19,axiom,( ~ r1_xxreal_0(37,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r2,axiom,( ~ r1_xxreal_0(37,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r20,axiom,( ~ r1_xxreal_0(37,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r21,axiom,( ~ r1_xxreal_0(37,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r22,axiom,( ~ r1_xxreal_0(37,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r23,axiom,( ~ r1_xxreal_0(37,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r24,axiom,( ~ r1_xxreal_0(37,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r25,axiom,( ~ r1_xxreal_0(37,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r26,axiom,( ~ r1_xxreal_0(37,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r27,axiom,( ~ r1_xxreal_0(37,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r28,axiom,( ~ r1_xxreal_0(37,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r29,axiom,( ~ r1_xxreal_0(37,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r3,axiom,( ~ r1_xxreal_0(37,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r30,axiom,( ~ r1_xxreal_0(37,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r31,axiom,( ~ r1_xxreal_0(37,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r32,axiom,( ~ r1_xxreal_0(37,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r33,axiom,( ~ r1_xxreal_0(37,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r34,axiom,( ~ r1_xxreal_0(37,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r35,axiom,( ~ r1_xxreal_0(37,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r36,axiom,( ~ r1_xxreal_0(37,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r37,axiom,( r1_xxreal_0(37,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r38,axiom,( r1_xxreal_0(37,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r39,axiom,( r1_xxreal_0(37,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r4,axiom,( ~ r1_xxreal_0(37,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r40,axiom,( r1_xxreal_0(37,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r41,axiom,( r1_xxreal_0(37,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r42,axiom,( r1_xxreal_0(37,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r43,axiom,( r1_xxreal_0(37,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r44,axiom,( r1_xxreal_0(37,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r45,axiom,( r1_xxreal_0(37,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r46,axiom,( r1_xxreal_0(37,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r47,axiom,( r1_xxreal_0(37,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r48,axiom,( r1_xxreal_0(37,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r49,axiom,( r1_xxreal_0(37,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r5,axiom,( ~ r1_xxreal_0(37,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r50,axiom,( r1_xxreal_0(37,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r51,axiom,( r1_xxreal_0(37,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r52,axiom,( r1_xxreal_0(37,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r53,axiom,( r1_xxreal_0(37,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r54,axiom,( r1_xxreal_0(37,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r55,axiom,( r1_xxreal_0(37,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r56,axiom,( r1_xxreal_0(37,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r57,axiom,( r1_xxreal_0(37,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r58,axiom,( r1_xxreal_0(37,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r59,axiom,( r1_xxreal_0(37,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r6,axiom,( ~ r1_xxreal_0(37,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r60,axiom,( r1_xxreal_0(37,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r61,axiom,( r1_xxreal_0(37,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r62,axiom,( r1_xxreal_0(37,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r63,axiom,( r1_xxreal_0(37,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r64,axiom,( r1_xxreal_0(37,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r7,axiom,( ~ r1_xxreal_0(37,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r8,axiom,( ~ r1_xxreal_0(37,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r37_r9,axiom,( ~ r1_xxreal_0(37,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r0,axiom,( ~ r1_xxreal_0(38,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r1,axiom,( ~ r1_xxreal_0(38,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r10,axiom,( ~ r1_xxreal_0(38,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r11,axiom,( ~ r1_xxreal_0(38,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r12,axiom,( ~ r1_xxreal_0(38,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r13,axiom,( ~ r1_xxreal_0(38,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r14,axiom,( ~ r1_xxreal_0(38,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r15,axiom,( ~ r1_xxreal_0(38,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r16,axiom,( ~ r1_xxreal_0(38,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r17,axiom,( ~ r1_xxreal_0(38,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r18,axiom,( ~ r1_xxreal_0(38,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r19,axiom,( ~ r1_xxreal_0(38,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r2,axiom,( ~ r1_xxreal_0(38,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r20,axiom,( ~ r1_xxreal_0(38,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r21,axiom,( ~ r1_xxreal_0(38,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r22,axiom,( ~ r1_xxreal_0(38,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r23,axiom,( ~ r1_xxreal_0(38,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r24,axiom,( ~ r1_xxreal_0(38,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r25,axiom,( ~ r1_xxreal_0(38,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r26,axiom,( ~ r1_xxreal_0(38,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r27,axiom,( ~ r1_xxreal_0(38,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r28,axiom,( ~ r1_xxreal_0(38,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r29,axiom,( ~ r1_xxreal_0(38,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r3,axiom,( ~ r1_xxreal_0(38,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r30,axiom,( ~ r1_xxreal_0(38,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r31,axiom,( ~ r1_xxreal_0(38,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r32,axiom,( ~ r1_xxreal_0(38,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r33,axiom,( ~ r1_xxreal_0(38,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r34,axiom,( ~ r1_xxreal_0(38,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r35,axiom,( ~ r1_xxreal_0(38,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r36,axiom,( ~ r1_xxreal_0(38,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r37,axiom,( ~ r1_xxreal_0(38,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r38,axiom,( r1_xxreal_0(38,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r39,axiom,( r1_xxreal_0(38,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r4,axiom,( ~ r1_xxreal_0(38,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r40,axiom,( r1_xxreal_0(38,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r41,axiom,( r1_xxreal_0(38,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r42,axiom,( r1_xxreal_0(38,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r43,axiom,( r1_xxreal_0(38,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r44,axiom,( r1_xxreal_0(38,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r45,axiom,( r1_xxreal_0(38,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r46,axiom,( r1_xxreal_0(38,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r47,axiom,( r1_xxreal_0(38,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r48,axiom,( r1_xxreal_0(38,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r49,axiom,( r1_xxreal_0(38,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r5,axiom,( ~ r1_xxreal_0(38,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r50,axiom,( r1_xxreal_0(38,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r51,axiom,( r1_xxreal_0(38,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r52,axiom,( r1_xxreal_0(38,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r53,axiom,( r1_xxreal_0(38,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r54,axiom,( r1_xxreal_0(38,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r55,axiom,( r1_xxreal_0(38,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r56,axiom,( r1_xxreal_0(38,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r57,axiom,( r1_xxreal_0(38,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r58,axiom,( r1_xxreal_0(38,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r59,axiom,( r1_xxreal_0(38,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r6,axiom,( ~ r1_xxreal_0(38,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r60,axiom,( r1_xxreal_0(38,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r61,axiom,( r1_xxreal_0(38,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r62,axiom,( r1_xxreal_0(38,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r63,axiom,( r1_xxreal_0(38,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r64,axiom,( r1_xxreal_0(38,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r7,axiom,( ~ r1_xxreal_0(38,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r8,axiom,( ~ r1_xxreal_0(38,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r38_r9,axiom,( ~ r1_xxreal_0(38,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r390_r0,axiom,( ~ r1_xxreal_0(390,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r390_r1,axiom,( ~ r1_xxreal_0(390,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r0,axiom,( ~ r1_xxreal_0(39,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r1,axiom,( ~ r1_xxreal_0(39,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r10,axiom,( ~ r1_xxreal_0(39,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r11,axiom,( ~ r1_xxreal_0(39,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r12,axiom,( ~ r1_xxreal_0(39,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r13,axiom,( ~ r1_xxreal_0(39,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r14,axiom,( ~ r1_xxreal_0(39,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r15,axiom,( ~ r1_xxreal_0(39,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r16,axiom,( ~ r1_xxreal_0(39,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r17,axiom,( ~ r1_xxreal_0(39,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r18,axiom,( ~ r1_xxreal_0(39,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r19,axiom,( ~ r1_xxreal_0(39,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r2,axiom,( ~ r1_xxreal_0(39,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r20,axiom,( ~ r1_xxreal_0(39,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r21,axiom,( ~ r1_xxreal_0(39,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r22,axiom,( ~ r1_xxreal_0(39,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r23,axiom,( ~ r1_xxreal_0(39,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r24,axiom,( ~ r1_xxreal_0(39,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r25,axiom,( ~ r1_xxreal_0(39,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r26,axiom,( ~ r1_xxreal_0(39,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r27,axiom,( ~ r1_xxreal_0(39,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r28,axiom,( ~ r1_xxreal_0(39,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r29,axiom,( ~ r1_xxreal_0(39,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r3,axiom,( ~ r1_xxreal_0(39,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r30,axiom,( ~ r1_xxreal_0(39,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r31,axiom,( ~ r1_xxreal_0(39,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r32,axiom,( ~ r1_xxreal_0(39,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r33,axiom,( ~ r1_xxreal_0(39,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r34,axiom,( ~ r1_xxreal_0(39,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r35,axiom,( ~ r1_xxreal_0(39,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r36,axiom,( ~ r1_xxreal_0(39,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r37,axiom,( ~ r1_xxreal_0(39,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r38,axiom,( ~ r1_xxreal_0(39,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r39,axiom,( r1_xxreal_0(39,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r4,axiom,( ~ r1_xxreal_0(39,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r40,axiom,( r1_xxreal_0(39,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r41,axiom,( r1_xxreal_0(39,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r42,axiom,( r1_xxreal_0(39,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r43,axiom,( r1_xxreal_0(39,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r44,axiom,( r1_xxreal_0(39,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r45,axiom,( r1_xxreal_0(39,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r46,axiom,( r1_xxreal_0(39,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r47,axiom,( r1_xxreal_0(39,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r48,axiom,( r1_xxreal_0(39,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r49,axiom,( r1_xxreal_0(39,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r5,axiom,( ~ r1_xxreal_0(39,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r50,axiom,( r1_xxreal_0(39,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r51,axiom,( r1_xxreal_0(39,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r52,axiom,( r1_xxreal_0(39,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r53,axiom,( r1_xxreal_0(39,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r54,axiom,( r1_xxreal_0(39,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r55,axiom,( r1_xxreal_0(39,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r56,axiom,( r1_xxreal_0(39,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r57,axiom,( r1_xxreal_0(39,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r58,axiom,( r1_xxreal_0(39,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r59,axiom,( r1_xxreal_0(39,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r6,axiom,( ~ r1_xxreal_0(39,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r60,axiom,( r1_xxreal_0(39,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r61,axiom,( r1_xxreal_0(39,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r62,axiom,( r1_xxreal_0(39,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r63,axiom,( r1_xxreal_0(39,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r64,axiom,( r1_xxreal_0(39,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r7,axiom,( ~ r1_xxreal_0(39,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r8,axiom,( ~ r1_xxreal_0(39,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_r9,axiom,( ~ r1_xxreal_0(39,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r39_rm1,axiom,( ~ r1_xxreal_0(39,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0,axiom,( ~ r1_xxreal_0(3,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1,axiom,( ~ r1_xxreal_0(3,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r10,axiom,( r1_xxreal_0(3,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r100,axiom,( r1_xxreal_0(3,100) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r11,axiom,( r1_xxreal_0(3,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r111,axiom,( r1_xxreal_0(3,111) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r112,axiom,( r1_xxreal_0(3,112) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r12,axiom,( r1_xxreal_0(3,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r120,axiom,( r1_xxreal_0(3,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r128,axiom,( r1_xxreal_0(3,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r13,axiom,( r1_xxreal_0(3,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r14,axiom,( r1_xxreal_0(3,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r15,axiom,( r1_xxreal_0(3,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r159,axiom,( r1_xxreal_0(3,159) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r16,axiom,( r1_xxreal_0(3,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r17,axiom,( r1_xxreal_0(3,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r18,axiom,( r1_xxreal_0(3,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r19,axiom,( r1_xxreal_0(3,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2,axiom,( ~ r1_xxreal_0(3,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r20,axiom,( r1_xxreal_0(3,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r21,axiom,( r1_xxreal_0(3,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r22,axiom,( r1_xxreal_0(3,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r23,axiom,( r1_xxreal_0(3,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r24,axiom,( r1_xxreal_0(3,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r25,axiom,( r1_xxreal_0(3,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r26,axiom,( r1_xxreal_0(3,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r27,axiom,( r1_xxreal_0(3,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r28,axiom,( r1_xxreal_0(3,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r29,axiom,( r1_xxreal_0(3,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3,axiom,( r1_xxreal_0(3,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r30,axiom,( r1_xxreal_0(3,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r31,axiom,( r1_xxreal_0(3,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r32,axiom,( r1_xxreal_0(3,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r33,axiom,( r1_xxreal_0(3,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r34,axiom,( r1_xxreal_0(3,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r35,axiom,( r1_xxreal_0(3,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r36,axiom,( r1_xxreal_0(3,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r37,axiom,( r1_xxreal_0(3,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r38,axiom,( r1_xxreal_0(3,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r39,axiom,( r1_xxreal_0(3,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4,axiom,( r1_xxreal_0(3,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r40,axiom,( r1_xxreal_0(3,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r400,axiom,( r1_xxreal_0(3,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r41,axiom,( r1_xxreal_0(3,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r42,axiom,( r1_xxreal_0(3,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r43,axiom,( r1_xxreal_0(3,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r44,axiom,( r1_xxreal_0(3,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r45,axiom,( r1_xxreal_0(3,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r46,axiom,( r1_xxreal_0(3,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r47,axiom,( r1_xxreal_0(3,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r48,axiom,( r1_xxreal_0(3,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r49,axiom,( r1_xxreal_0(3,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5,axiom,( r1_xxreal_0(3,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r50,axiom,( r1_xxreal_0(3,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r51,axiom,( r1_xxreal_0(3,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r52,axiom,( r1_xxreal_0(3,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r53,axiom,( r1_xxreal_0(3,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r54,axiom,( r1_xxreal_0(3,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r55,axiom,( r1_xxreal_0(3,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r56,axiom,( r1_xxreal_0(3,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r57,axiom,( r1_xxreal_0(3,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r58,axiom,( r1_xxreal_0(3,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r59,axiom,( r1_xxreal_0(3,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r6,axiom,( r1_xxreal_0(3,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r60,axiom,( r1_xxreal_0(3,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r61,axiom,( r1_xxreal_0(3,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r62,axiom,( r1_xxreal_0(3,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r63,axiom,( r1_xxreal_0(3,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r64,axiom,( r1_xxreal_0(3,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7,axiom,( r1_xxreal_0(3,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8,axiom,( r1_xxreal_0(3,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r84,axiom,( r1_xxreal_0(3,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r9,axiom,( r1_xxreal_0(3,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_r96,axiom,( r1_xxreal_0(3,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1,axiom,( ~ r1_xxreal_0(3,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm2,axiom,( ~ r1_xxreal_0(3,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm3,axiom,( ~ r1_xxreal_0(3,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm44,axiom,( ~ r1_xxreal_0(3,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm6,axiom,( ~ r1_xxreal_0(3,k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm7,axiom,( ~ r1_xxreal_0(3,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm8,axiom,( ~ r1_xxreal_0(3,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn159d100,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn19d5,axiom,( r1_xxreal_0(3,k7_xcmplx_0(19,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d100,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d2,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d24,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d3,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d4,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d6,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d8,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn2d3,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn2d9,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d2,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d4,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d5,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn49d9,axiom,( r1_xxreal_0(3,k7_xcmplx_0(49,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn4d5,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(4,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn9d10,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn9d4,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm159d100,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d6,axiom,( ~ r1_xxreal_0(3,k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r0,axiom,( ~ r1_xxreal_0(400,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r1,axiom,( ~ r1_xxreal_0(400,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r10,axiom,( ~ r1_xxreal_0(400,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r18,axiom,( ~ r1_xxreal_0(400,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r2,axiom,( ~ r1_xxreal_0(400,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r20,axiom,( ~ r1_xxreal_0(400,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r27,axiom,( ~ r1_xxreal_0(400,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r3,axiom,( ~ r1_xxreal_0(400,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r400,axiom,( r1_xxreal_0(400,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r54,axiom,( ~ r1_xxreal_0(400,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r400_r6,axiom,( ~ r1_xxreal_0(400,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r0,axiom,( ~ r1_xxreal_0(40,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r1,axiom,( ~ r1_xxreal_0(40,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r10,axiom,( ~ r1_xxreal_0(40,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r11,axiom,( ~ r1_xxreal_0(40,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r12,axiom,( ~ r1_xxreal_0(40,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r128,axiom,( r1_xxreal_0(40,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r13,axiom,( ~ r1_xxreal_0(40,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r14,axiom,( ~ r1_xxreal_0(40,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r15,axiom,( ~ r1_xxreal_0(40,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r16,axiom,( ~ r1_xxreal_0(40,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r17,axiom,( ~ r1_xxreal_0(40,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r18,axiom,( ~ r1_xxreal_0(40,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r19,axiom,( ~ r1_xxreal_0(40,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r2,axiom,( ~ r1_xxreal_0(40,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r20,axiom,( ~ r1_xxreal_0(40,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r21,axiom,( ~ r1_xxreal_0(40,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r22,axiom,( ~ r1_xxreal_0(40,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r23,axiom,( ~ r1_xxreal_0(40,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r24,axiom,( ~ r1_xxreal_0(40,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r25,axiom,( ~ r1_xxreal_0(40,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r26,axiom,( ~ r1_xxreal_0(40,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r27,axiom,( ~ r1_xxreal_0(40,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r28,axiom,( ~ r1_xxreal_0(40,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r29,axiom,( ~ r1_xxreal_0(40,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r3,axiom,( ~ r1_xxreal_0(40,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r30,axiom,( ~ r1_xxreal_0(40,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r31,axiom,( ~ r1_xxreal_0(40,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r32,axiom,( ~ r1_xxreal_0(40,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r33,axiom,( ~ r1_xxreal_0(40,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r34,axiom,( ~ r1_xxreal_0(40,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r35,axiom,( ~ r1_xxreal_0(40,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r36,axiom,( ~ r1_xxreal_0(40,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r37,axiom,( ~ r1_xxreal_0(40,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r38,axiom,( ~ r1_xxreal_0(40,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r39,axiom,( ~ r1_xxreal_0(40,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r4,axiom,( ~ r1_xxreal_0(40,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r40,axiom,( r1_xxreal_0(40,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r41,axiom,( r1_xxreal_0(40,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r42,axiom,( r1_xxreal_0(40,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r43,axiom,( r1_xxreal_0(40,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r44,axiom,( r1_xxreal_0(40,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r45,axiom,( r1_xxreal_0(40,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r46,axiom,( r1_xxreal_0(40,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r47,axiom,( r1_xxreal_0(40,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r48,axiom,( r1_xxreal_0(40,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r49,axiom,( r1_xxreal_0(40,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r5,axiom,( ~ r1_xxreal_0(40,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r50,axiom,( r1_xxreal_0(40,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r51,axiom,( r1_xxreal_0(40,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r52,axiom,( r1_xxreal_0(40,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r53,axiom,( r1_xxreal_0(40,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r54,axiom,( r1_xxreal_0(40,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r55,axiom,( r1_xxreal_0(40,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r56,axiom,( r1_xxreal_0(40,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r57,axiom,( r1_xxreal_0(40,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r58,axiom,( r1_xxreal_0(40,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r59,axiom,( r1_xxreal_0(40,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r6,axiom,( ~ r1_xxreal_0(40,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r60,axiom,( r1_xxreal_0(40,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r61,axiom,( r1_xxreal_0(40,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r62,axiom,( r1_xxreal_0(40,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r63,axiom,( r1_xxreal_0(40,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r64,axiom,( r1_xxreal_0(40,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r7,axiom,( ~ r1_xxreal_0(40,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r8,axiom,( ~ r1_xxreal_0(40,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r9,axiom,( ~ r1_xxreal_0(40,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_r96,axiom,( r1_xxreal_0(40,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r40_rm1,axiom,( ~ r1_xxreal_0(40,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r417_r0,axiom,( ~ r1_xxreal_0(417,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r0,axiom,( ~ r1_xxreal_0(41,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r1,axiom,( ~ r1_xxreal_0(41,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r10,axiom,( ~ r1_xxreal_0(41,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r11,axiom,( ~ r1_xxreal_0(41,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r12,axiom,( ~ r1_xxreal_0(41,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r13,axiom,( ~ r1_xxreal_0(41,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r14,axiom,( ~ r1_xxreal_0(41,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r15,axiom,( ~ r1_xxreal_0(41,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r16,axiom,( ~ r1_xxreal_0(41,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r17,axiom,( ~ r1_xxreal_0(41,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r18,axiom,( ~ r1_xxreal_0(41,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r19,axiom,( ~ r1_xxreal_0(41,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r2,axiom,( ~ r1_xxreal_0(41,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r20,axiom,( ~ r1_xxreal_0(41,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r21,axiom,( ~ r1_xxreal_0(41,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r22,axiom,( ~ r1_xxreal_0(41,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r23,axiom,( ~ r1_xxreal_0(41,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r24,axiom,( ~ r1_xxreal_0(41,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r25,axiom,( ~ r1_xxreal_0(41,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r26,axiom,( ~ r1_xxreal_0(41,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r27,axiom,( ~ r1_xxreal_0(41,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r28,axiom,( ~ r1_xxreal_0(41,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r29,axiom,( ~ r1_xxreal_0(41,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r3,axiom,( ~ r1_xxreal_0(41,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r30,axiom,( ~ r1_xxreal_0(41,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r31,axiom,( ~ r1_xxreal_0(41,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r32,axiom,( ~ r1_xxreal_0(41,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r33,axiom,( ~ r1_xxreal_0(41,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r34,axiom,( ~ r1_xxreal_0(41,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r35,axiom,( ~ r1_xxreal_0(41,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r36,axiom,( ~ r1_xxreal_0(41,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r37,axiom,( ~ r1_xxreal_0(41,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r38,axiom,( ~ r1_xxreal_0(41,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r39,axiom,( ~ r1_xxreal_0(41,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r4,axiom,( ~ r1_xxreal_0(41,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r40,axiom,( ~ r1_xxreal_0(41,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r41,axiom,( r1_xxreal_0(41,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r42,axiom,( r1_xxreal_0(41,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r43,axiom,( r1_xxreal_0(41,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r44,axiom,( r1_xxreal_0(41,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r45,axiom,( r1_xxreal_0(41,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r46,axiom,( r1_xxreal_0(41,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r47,axiom,( r1_xxreal_0(41,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r48,axiom,( r1_xxreal_0(41,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r49,axiom,( r1_xxreal_0(41,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r5,axiom,( ~ r1_xxreal_0(41,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r50,axiom,( r1_xxreal_0(41,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r51,axiom,( r1_xxreal_0(41,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r52,axiom,( r1_xxreal_0(41,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r53,axiom,( r1_xxreal_0(41,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r54,axiom,( r1_xxreal_0(41,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r55,axiom,( r1_xxreal_0(41,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r56,axiom,( r1_xxreal_0(41,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r57,axiom,( r1_xxreal_0(41,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r58,axiom,( r1_xxreal_0(41,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r59,axiom,( r1_xxreal_0(41,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r6,axiom,( ~ r1_xxreal_0(41,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r60,axiom,( r1_xxreal_0(41,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r61,axiom,( r1_xxreal_0(41,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r62,axiom,( r1_xxreal_0(41,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r63,axiom,( r1_xxreal_0(41,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r64,axiom,( r1_xxreal_0(41,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r7,axiom,( ~ r1_xxreal_0(41,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r8,axiom,( ~ r1_xxreal_0(41,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r41_r9,axiom,( ~ r1_xxreal_0(41,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r0,axiom,( ~ r1_xxreal_0(42,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r1,axiom,( ~ r1_xxreal_0(42,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r10,axiom,( ~ r1_xxreal_0(42,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r11,axiom,( ~ r1_xxreal_0(42,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r12,axiom,( ~ r1_xxreal_0(42,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r13,axiom,( ~ r1_xxreal_0(42,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r14,axiom,( ~ r1_xxreal_0(42,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r15,axiom,( ~ r1_xxreal_0(42,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r16,axiom,( ~ r1_xxreal_0(42,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r17,axiom,( ~ r1_xxreal_0(42,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r18,axiom,( ~ r1_xxreal_0(42,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r19,axiom,( ~ r1_xxreal_0(42,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r2,axiom,( ~ r1_xxreal_0(42,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r20,axiom,( ~ r1_xxreal_0(42,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r21,axiom,( ~ r1_xxreal_0(42,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r22,axiom,( ~ r1_xxreal_0(42,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r23,axiom,( ~ r1_xxreal_0(42,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r24,axiom,( ~ r1_xxreal_0(42,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r25,axiom,( ~ r1_xxreal_0(42,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r26,axiom,( ~ r1_xxreal_0(42,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r27,axiom,( ~ r1_xxreal_0(42,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r28,axiom,( ~ r1_xxreal_0(42,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r29,axiom,( ~ r1_xxreal_0(42,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r3,axiom,( ~ r1_xxreal_0(42,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r30,axiom,( ~ r1_xxreal_0(42,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r31,axiom,( ~ r1_xxreal_0(42,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r32,axiom,( ~ r1_xxreal_0(42,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r33,axiom,( ~ r1_xxreal_0(42,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r34,axiom,( ~ r1_xxreal_0(42,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r35,axiom,( ~ r1_xxreal_0(42,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r36,axiom,( ~ r1_xxreal_0(42,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r37,axiom,( ~ r1_xxreal_0(42,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r38,axiom,( ~ r1_xxreal_0(42,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r39,axiom,( ~ r1_xxreal_0(42,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r4,axiom,( ~ r1_xxreal_0(42,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r40,axiom,( ~ r1_xxreal_0(42,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r41,axiom,( ~ r1_xxreal_0(42,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r42,axiom,( r1_xxreal_0(42,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r43,axiom,( r1_xxreal_0(42,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r44,axiom,( r1_xxreal_0(42,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r45,axiom,( r1_xxreal_0(42,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r46,axiom,( r1_xxreal_0(42,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r47,axiom,( r1_xxreal_0(42,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r48,axiom,( r1_xxreal_0(42,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r49,axiom,( r1_xxreal_0(42,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r5,axiom,( ~ r1_xxreal_0(42,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r50,axiom,( r1_xxreal_0(42,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r51,axiom,( r1_xxreal_0(42,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r52,axiom,( r1_xxreal_0(42,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r53,axiom,( r1_xxreal_0(42,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r54,axiom,( r1_xxreal_0(42,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r55,axiom,( r1_xxreal_0(42,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r56,axiom,( r1_xxreal_0(42,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r57,axiom,( r1_xxreal_0(42,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r58,axiom,( r1_xxreal_0(42,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r59,axiom,( r1_xxreal_0(42,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r6,axiom,( ~ r1_xxreal_0(42,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r60,axiom,( r1_xxreal_0(42,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r61,axiom,( r1_xxreal_0(42,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r62,axiom,( r1_xxreal_0(42,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r63,axiom,( r1_xxreal_0(42,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r64,axiom,( r1_xxreal_0(42,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r7,axiom,( ~ r1_xxreal_0(42,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r8,axiom,( ~ r1_xxreal_0(42,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r81,axiom,( r1_xxreal_0(42,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r84,axiom,( r1_xxreal_0(42,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r42_r9,axiom,( ~ r1_xxreal_0(42,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r434_r0,axiom,( ~ r1_xxreal_0(434,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r434_r149,axiom,( ~ r1_xxreal_0(434,149) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r0,axiom,( ~ r1_xxreal_0(43,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r1,axiom,( ~ r1_xxreal_0(43,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r10,axiom,( ~ r1_xxreal_0(43,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r11,axiom,( ~ r1_xxreal_0(43,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r12,axiom,( ~ r1_xxreal_0(43,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r13,axiom,( ~ r1_xxreal_0(43,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r14,axiom,( ~ r1_xxreal_0(43,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r15,axiom,( ~ r1_xxreal_0(43,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r16,axiom,( ~ r1_xxreal_0(43,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r17,axiom,( ~ r1_xxreal_0(43,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r18,axiom,( ~ r1_xxreal_0(43,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r19,axiom,( ~ r1_xxreal_0(43,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r2,axiom,( ~ r1_xxreal_0(43,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r20,axiom,( ~ r1_xxreal_0(43,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r21,axiom,( ~ r1_xxreal_0(43,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r22,axiom,( ~ r1_xxreal_0(43,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r23,axiom,( ~ r1_xxreal_0(43,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r24,axiom,( ~ r1_xxreal_0(43,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r25,axiom,( ~ r1_xxreal_0(43,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r26,axiom,( ~ r1_xxreal_0(43,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r27,axiom,( ~ r1_xxreal_0(43,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r28,axiom,( ~ r1_xxreal_0(43,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r29,axiom,( ~ r1_xxreal_0(43,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r3,axiom,( ~ r1_xxreal_0(43,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r30,axiom,( ~ r1_xxreal_0(43,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r31,axiom,( ~ r1_xxreal_0(43,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r32,axiom,( ~ r1_xxreal_0(43,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r33,axiom,( ~ r1_xxreal_0(43,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r34,axiom,( ~ r1_xxreal_0(43,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r35,axiom,( ~ r1_xxreal_0(43,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r36,axiom,( ~ r1_xxreal_0(43,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r37,axiom,( ~ r1_xxreal_0(43,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r38,axiom,( ~ r1_xxreal_0(43,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r39,axiom,( ~ r1_xxreal_0(43,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r4,axiom,( ~ r1_xxreal_0(43,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r40,axiom,( ~ r1_xxreal_0(43,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r41,axiom,( ~ r1_xxreal_0(43,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r42,axiom,( ~ r1_xxreal_0(43,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r43,axiom,( r1_xxreal_0(43,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r44,axiom,( r1_xxreal_0(43,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r45,axiom,( r1_xxreal_0(43,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r46,axiom,( r1_xxreal_0(43,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r47,axiom,( r1_xxreal_0(43,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r48,axiom,( r1_xxreal_0(43,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r49,axiom,( r1_xxreal_0(43,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r5,axiom,( ~ r1_xxreal_0(43,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r50,axiom,( r1_xxreal_0(43,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r51,axiom,( r1_xxreal_0(43,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r52,axiom,( r1_xxreal_0(43,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r53,axiom,( r1_xxreal_0(43,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r54,axiom,( r1_xxreal_0(43,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r55,axiom,( r1_xxreal_0(43,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r56,axiom,( r1_xxreal_0(43,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r57,axiom,( r1_xxreal_0(43,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r58,axiom,( r1_xxreal_0(43,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r59,axiom,( r1_xxreal_0(43,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r6,axiom,( ~ r1_xxreal_0(43,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r60,axiom,( r1_xxreal_0(43,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r61,axiom,( r1_xxreal_0(43,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r62,axiom,( r1_xxreal_0(43,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r63,axiom,( r1_xxreal_0(43,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r64,axiom,( r1_xxreal_0(43,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r7,axiom,( ~ r1_xxreal_0(43,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r8,axiom,( ~ r1_xxreal_0(43,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r83,axiom,( r1_xxreal_0(43,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r86,axiom,( r1_xxreal_0(43,86) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_r9,axiom,( ~ r1_xxreal_0(43,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r43_rm1,axiom,( ~ r1_xxreal_0(43,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r446_r0,axiom,( ~ r1_xxreal_0(446,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r446_r1,axiom,( ~ r1_xxreal_0(446,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r446_r271,axiom,( ~ r1_xxreal_0(446,271) )).
fof(rqLessOrEqual__r1_xxreal_0__r449_r0,axiom,( ~ r1_xxreal_0(449,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r449_r220,axiom,( ~ r1_xxreal_0(449,220) )).
fof(rqLessOrEqual__r1_xxreal_0__r449_r359,axiom,( ~ r1_xxreal_0(449,359) )).
fof(rqLessOrEqual__r1_xxreal_0__r449_r64,axiom,( ~ r1_xxreal_0(449,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r449_r9,axiom,( ~ r1_xxreal_0(449,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r0,axiom,( ~ r1_xxreal_0(44,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r1,axiom,( ~ r1_xxreal_0(44,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r10,axiom,( ~ r1_xxreal_0(44,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r11,axiom,( ~ r1_xxreal_0(44,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r12,axiom,( ~ r1_xxreal_0(44,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r13,axiom,( ~ r1_xxreal_0(44,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r14,axiom,( ~ r1_xxreal_0(44,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r15,axiom,( ~ r1_xxreal_0(44,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r16,axiom,( ~ r1_xxreal_0(44,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r17,axiom,( ~ r1_xxreal_0(44,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r18,axiom,( ~ r1_xxreal_0(44,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r19,axiom,( ~ r1_xxreal_0(44,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r2,axiom,( ~ r1_xxreal_0(44,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r20,axiom,( ~ r1_xxreal_0(44,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r21,axiom,( ~ r1_xxreal_0(44,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r22,axiom,( ~ r1_xxreal_0(44,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r23,axiom,( ~ r1_xxreal_0(44,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r24,axiom,( ~ r1_xxreal_0(44,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r25,axiom,( ~ r1_xxreal_0(44,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r26,axiom,( ~ r1_xxreal_0(44,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r27,axiom,( ~ r1_xxreal_0(44,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r28,axiom,( ~ r1_xxreal_0(44,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r29,axiom,( ~ r1_xxreal_0(44,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r3,axiom,( ~ r1_xxreal_0(44,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r30,axiom,( ~ r1_xxreal_0(44,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r31,axiom,( ~ r1_xxreal_0(44,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r32,axiom,( ~ r1_xxreal_0(44,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r33,axiom,( ~ r1_xxreal_0(44,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r34,axiom,( ~ r1_xxreal_0(44,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r35,axiom,( ~ r1_xxreal_0(44,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r36,axiom,( ~ r1_xxreal_0(44,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r37,axiom,( ~ r1_xxreal_0(44,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r38,axiom,( ~ r1_xxreal_0(44,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r39,axiom,( ~ r1_xxreal_0(44,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r4,axiom,( ~ r1_xxreal_0(44,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r40,axiom,( ~ r1_xxreal_0(44,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r41,axiom,( ~ r1_xxreal_0(44,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r42,axiom,( ~ r1_xxreal_0(44,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r43,axiom,( ~ r1_xxreal_0(44,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r44,axiom,( r1_xxreal_0(44,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r45,axiom,( r1_xxreal_0(44,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r46,axiom,( r1_xxreal_0(44,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r47,axiom,( r1_xxreal_0(44,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r48,axiom,( r1_xxreal_0(44,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r49,axiom,( r1_xxreal_0(44,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r5,axiom,( ~ r1_xxreal_0(44,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r50,axiom,( r1_xxreal_0(44,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r51,axiom,( r1_xxreal_0(44,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r52,axiom,( r1_xxreal_0(44,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r53,axiom,( r1_xxreal_0(44,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r54,axiom,( r1_xxreal_0(44,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r55,axiom,( r1_xxreal_0(44,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r56,axiom,( r1_xxreal_0(44,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r57,axiom,( r1_xxreal_0(44,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r58,axiom,( r1_xxreal_0(44,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r59,axiom,( r1_xxreal_0(44,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r6,axiom,( ~ r1_xxreal_0(44,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r60,axiom,( r1_xxreal_0(44,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r61,axiom,( r1_xxreal_0(44,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r62,axiom,( r1_xxreal_0(44,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r63,axiom,( r1_xxreal_0(44,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r64,axiom,( r1_xxreal_0(44,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r7,axiom,( ~ r1_xxreal_0(44,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r8,axiom,( ~ r1_xxreal_0(44,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r44_r9,axiom,( ~ r1_xxreal_0(44,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r458_r0,axiom,( ~ r1_xxreal_0(458,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r458_r256,axiom,( ~ r1_xxreal_0(458,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r458_r26,axiom,( ~ r1_xxreal_0(458,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r458_r4,axiom,( ~ r1_xxreal_0(458,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r458_r83,axiom,( ~ r1_xxreal_0(458,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r0,axiom,( ~ r1_xxreal_0(45,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r1,axiom,( ~ r1_xxreal_0(45,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r10,axiom,( ~ r1_xxreal_0(45,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r11,axiom,( ~ r1_xxreal_0(45,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r12,axiom,( ~ r1_xxreal_0(45,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r13,axiom,( ~ r1_xxreal_0(45,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r14,axiom,( ~ r1_xxreal_0(45,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r15,axiom,( ~ r1_xxreal_0(45,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r16,axiom,( ~ r1_xxreal_0(45,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r17,axiom,( ~ r1_xxreal_0(45,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r18,axiom,( ~ r1_xxreal_0(45,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r19,axiom,( ~ r1_xxreal_0(45,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r2,axiom,( ~ r1_xxreal_0(45,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r20,axiom,( ~ r1_xxreal_0(45,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r21,axiom,( ~ r1_xxreal_0(45,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r22,axiom,( ~ r1_xxreal_0(45,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r23,axiom,( ~ r1_xxreal_0(45,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r24,axiom,( ~ r1_xxreal_0(45,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r25,axiom,( ~ r1_xxreal_0(45,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r26,axiom,( ~ r1_xxreal_0(45,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r27,axiom,( ~ r1_xxreal_0(45,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r28,axiom,( ~ r1_xxreal_0(45,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r29,axiom,( ~ r1_xxreal_0(45,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r3,axiom,( ~ r1_xxreal_0(45,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r30,axiom,( ~ r1_xxreal_0(45,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r31,axiom,( ~ r1_xxreal_0(45,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r32,axiom,( ~ r1_xxreal_0(45,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r33,axiom,( ~ r1_xxreal_0(45,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r34,axiom,( ~ r1_xxreal_0(45,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r35,axiom,( ~ r1_xxreal_0(45,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r36,axiom,( ~ r1_xxreal_0(45,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r37,axiom,( ~ r1_xxreal_0(45,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r38,axiom,( ~ r1_xxreal_0(45,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r39,axiom,( ~ r1_xxreal_0(45,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r4,axiom,( ~ r1_xxreal_0(45,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r40,axiom,( ~ r1_xxreal_0(45,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r41,axiom,( ~ r1_xxreal_0(45,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r42,axiom,( ~ r1_xxreal_0(45,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r43,axiom,( ~ r1_xxreal_0(45,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r44,axiom,( ~ r1_xxreal_0(45,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r45,axiom,( r1_xxreal_0(45,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r46,axiom,( r1_xxreal_0(45,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r47,axiom,( r1_xxreal_0(45,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r48,axiom,( r1_xxreal_0(45,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r49,axiom,( r1_xxreal_0(45,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r5,axiom,( ~ r1_xxreal_0(45,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r50,axiom,( r1_xxreal_0(45,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r51,axiom,( r1_xxreal_0(45,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r52,axiom,( r1_xxreal_0(45,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r53,axiom,( r1_xxreal_0(45,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r54,axiom,( r1_xxreal_0(45,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r55,axiom,( r1_xxreal_0(45,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r56,axiom,( r1_xxreal_0(45,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r57,axiom,( r1_xxreal_0(45,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r58,axiom,( r1_xxreal_0(45,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r59,axiom,( r1_xxreal_0(45,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r6,axiom,( ~ r1_xxreal_0(45,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r60,axiom,( r1_xxreal_0(45,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r61,axiom,( r1_xxreal_0(45,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r62,axiom,( r1_xxreal_0(45,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r63,axiom,( r1_xxreal_0(45,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r64,axiom,( r1_xxreal_0(45,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r7,axiom,( ~ r1_xxreal_0(45,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r8,axiom,( ~ r1_xxreal_0(45,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r45_r9,axiom,( ~ r1_xxreal_0(45,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r0,axiom,( ~ r1_xxreal_0(46,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r1,axiom,( ~ r1_xxreal_0(46,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r10,axiom,( ~ r1_xxreal_0(46,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r11,axiom,( ~ r1_xxreal_0(46,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r12,axiom,( ~ r1_xxreal_0(46,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r13,axiom,( ~ r1_xxreal_0(46,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r14,axiom,( ~ r1_xxreal_0(46,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r15,axiom,( ~ r1_xxreal_0(46,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r16,axiom,( ~ r1_xxreal_0(46,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r17,axiom,( ~ r1_xxreal_0(46,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r18,axiom,( ~ r1_xxreal_0(46,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r19,axiom,( ~ r1_xxreal_0(46,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r2,axiom,( ~ r1_xxreal_0(46,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r20,axiom,( ~ r1_xxreal_0(46,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r21,axiom,( ~ r1_xxreal_0(46,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r22,axiom,( ~ r1_xxreal_0(46,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r23,axiom,( ~ r1_xxreal_0(46,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r24,axiom,( ~ r1_xxreal_0(46,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r25,axiom,( ~ r1_xxreal_0(46,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r26,axiom,( ~ r1_xxreal_0(46,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r27,axiom,( ~ r1_xxreal_0(46,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r28,axiom,( ~ r1_xxreal_0(46,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r29,axiom,( ~ r1_xxreal_0(46,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r3,axiom,( ~ r1_xxreal_0(46,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r30,axiom,( ~ r1_xxreal_0(46,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r31,axiom,( ~ r1_xxreal_0(46,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r32,axiom,( ~ r1_xxreal_0(46,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r33,axiom,( ~ r1_xxreal_0(46,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r34,axiom,( ~ r1_xxreal_0(46,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r35,axiom,( ~ r1_xxreal_0(46,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r36,axiom,( ~ r1_xxreal_0(46,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r37,axiom,( ~ r1_xxreal_0(46,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r38,axiom,( ~ r1_xxreal_0(46,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r39,axiom,( ~ r1_xxreal_0(46,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r4,axiom,( ~ r1_xxreal_0(46,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r40,axiom,( ~ r1_xxreal_0(46,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r41,axiom,( ~ r1_xxreal_0(46,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r42,axiom,( ~ r1_xxreal_0(46,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r43,axiom,( ~ r1_xxreal_0(46,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r44,axiom,( ~ r1_xxreal_0(46,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r45,axiom,( ~ r1_xxreal_0(46,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r46,axiom,( r1_xxreal_0(46,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r47,axiom,( r1_xxreal_0(46,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r48,axiom,( r1_xxreal_0(46,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r49,axiom,( r1_xxreal_0(46,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r5,axiom,( ~ r1_xxreal_0(46,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r50,axiom,( r1_xxreal_0(46,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r51,axiom,( r1_xxreal_0(46,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r52,axiom,( r1_xxreal_0(46,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r53,axiom,( r1_xxreal_0(46,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r54,axiom,( r1_xxreal_0(46,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r55,axiom,( r1_xxreal_0(46,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r56,axiom,( r1_xxreal_0(46,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r57,axiom,( r1_xxreal_0(46,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r58,axiom,( r1_xxreal_0(46,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r59,axiom,( r1_xxreal_0(46,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r6,axiom,( ~ r1_xxreal_0(46,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r60,axiom,( r1_xxreal_0(46,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r61,axiom,( r1_xxreal_0(46,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r62,axiom,( r1_xxreal_0(46,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r63,axiom,( r1_xxreal_0(46,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r64,axiom,( r1_xxreal_0(46,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r7,axiom,( ~ r1_xxreal_0(46,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r8,axiom,( ~ r1_xxreal_0(46,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r46_r9,axiom,( ~ r1_xxreal_0(46,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r0,axiom,( ~ r1_xxreal_0(47,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r1,axiom,( ~ r1_xxreal_0(47,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r10,axiom,( ~ r1_xxreal_0(47,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r11,axiom,( ~ r1_xxreal_0(47,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r12,axiom,( ~ r1_xxreal_0(47,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r13,axiom,( ~ r1_xxreal_0(47,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r14,axiom,( ~ r1_xxreal_0(47,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r15,axiom,( ~ r1_xxreal_0(47,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r16,axiom,( ~ r1_xxreal_0(47,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r17,axiom,( ~ r1_xxreal_0(47,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r18,axiom,( ~ r1_xxreal_0(47,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r19,axiom,( ~ r1_xxreal_0(47,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r2,axiom,( ~ r1_xxreal_0(47,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r20,axiom,( ~ r1_xxreal_0(47,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r21,axiom,( ~ r1_xxreal_0(47,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r22,axiom,( ~ r1_xxreal_0(47,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r23,axiom,( ~ r1_xxreal_0(47,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r24,axiom,( ~ r1_xxreal_0(47,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r25,axiom,( ~ r1_xxreal_0(47,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r26,axiom,( ~ r1_xxreal_0(47,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r27,axiom,( ~ r1_xxreal_0(47,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r28,axiom,( ~ r1_xxreal_0(47,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r29,axiom,( ~ r1_xxreal_0(47,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r3,axiom,( ~ r1_xxreal_0(47,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r30,axiom,( ~ r1_xxreal_0(47,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r31,axiom,( ~ r1_xxreal_0(47,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r32,axiom,( ~ r1_xxreal_0(47,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r33,axiom,( ~ r1_xxreal_0(47,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r34,axiom,( ~ r1_xxreal_0(47,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r35,axiom,( ~ r1_xxreal_0(47,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r36,axiom,( ~ r1_xxreal_0(47,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r37,axiom,( ~ r1_xxreal_0(47,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r38,axiom,( ~ r1_xxreal_0(47,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r39,axiom,( ~ r1_xxreal_0(47,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r4,axiom,( ~ r1_xxreal_0(47,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r40,axiom,( ~ r1_xxreal_0(47,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r41,axiom,( ~ r1_xxreal_0(47,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r42,axiom,( ~ r1_xxreal_0(47,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r43,axiom,( ~ r1_xxreal_0(47,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r44,axiom,( ~ r1_xxreal_0(47,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r45,axiom,( ~ r1_xxreal_0(47,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r46,axiom,( ~ r1_xxreal_0(47,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r47,axiom,( r1_xxreal_0(47,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r48,axiom,( r1_xxreal_0(47,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r49,axiom,( r1_xxreal_0(47,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r5,axiom,( ~ r1_xxreal_0(47,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r50,axiom,( r1_xxreal_0(47,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r51,axiom,( r1_xxreal_0(47,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r52,axiom,( r1_xxreal_0(47,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r53,axiom,( r1_xxreal_0(47,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r54,axiom,( r1_xxreal_0(47,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r55,axiom,( r1_xxreal_0(47,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r56,axiom,( r1_xxreal_0(47,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r57,axiom,( r1_xxreal_0(47,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r58,axiom,( r1_xxreal_0(47,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r59,axiom,( r1_xxreal_0(47,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r6,axiom,( ~ r1_xxreal_0(47,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r60,axiom,( r1_xxreal_0(47,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r61,axiom,( r1_xxreal_0(47,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r62,axiom,( r1_xxreal_0(47,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r63,axiom,( r1_xxreal_0(47,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r64,axiom,( r1_xxreal_0(47,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r7,axiom,( ~ r1_xxreal_0(47,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r8,axiom,( ~ r1_xxreal_0(47,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r47_r9,axiom,( ~ r1_xxreal_0(47,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r0,axiom,( ~ r1_xxreal_0(48,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r1,axiom,( ~ r1_xxreal_0(48,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r10,axiom,( ~ r1_xxreal_0(48,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r11,axiom,( ~ r1_xxreal_0(48,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r12,axiom,( ~ r1_xxreal_0(48,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r13,axiom,( ~ r1_xxreal_0(48,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r14,axiom,( ~ r1_xxreal_0(48,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r15,axiom,( ~ r1_xxreal_0(48,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r16,axiom,( ~ r1_xxreal_0(48,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r17,axiom,( ~ r1_xxreal_0(48,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r18,axiom,( ~ r1_xxreal_0(48,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r19,axiom,( ~ r1_xxreal_0(48,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r2,axiom,( ~ r1_xxreal_0(48,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r20,axiom,( ~ r1_xxreal_0(48,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r21,axiom,( ~ r1_xxreal_0(48,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r22,axiom,( ~ r1_xxreal_0(48,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r23,axiom,( ~ r1_xxreal_0(48,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r24,axiom,( ~ r1_xxreal_0(48,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r25,axiom,( ~ r1_xxreal_0(48,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r26,axiom,( ~ r1_xxreal_0(48,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r27,axiom,( ~ r1_xxreal_0(48,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r28,axiom,( ~ r1_xxreal_0(48,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r29,axiom,( ~ r1_xxreal_0(48,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r3,axiom,( ~ r1_xxreal_0(48,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r30,axiom,( ~ r1_xxreal_0(48,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r31,axiom,( ~ r1_xxreal_0(48,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r32,axiom,( ~ r1_xxreal_0(48,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r33,axiom,( ~ r1_xxreal_0(48,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r34,axiom,( ~ r1_xxreal_0(48,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r35,axiom,( ~ r1_xxreal_0(48,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r36,axiom,( ~ r1_xxreal_0(48,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r37,axiom,( ~ r1_xxreal_0(48,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r38,axiom,( ~ r1_xxreal_0(48,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r39,axiom,( ~ r1_xxreal_0(48,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r4,axiom,( ~ r1_xxreal_0(48,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r40,axiom,( ~ r1_xxreal_0(48,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r41,axiom,( ~ r1_xxreal_0(48,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r42,axiom,( ~ r1_xxreal_0(48,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r43,axiom,( ~ r1_xxreal_0(48,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r44,axiom,( ~ r1_xxreal_0(48,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r45,axiom,( ~ r1_xxreal_0(48,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r46,axiom,( ~ r1_xxreal_0(48,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r47,axiom,( ~ r1_xxreal_0(48,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r48,axiom,( r1_xxreal_0(48,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r49,axiom,( r1_xxreal_0(48,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r5,axiom,( ~ r1_xxreal_0(48,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r50,axiom,( r1_xxreal_0(48,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r51,axiom,( r1_xxreal_0(48,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r52,axiom,( r1_xxreal_0(48,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r53,axiom,( r1_xxreal_0(48,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r54,axiom,( r1_xxreal_0(48,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r55,axiom,( r1_xxreal_0(48,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r56,axiom,( r1_xxreal_0(48,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r57,axiom,( r1_xxreal_0(48,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r58,axiom,( r1_xxreal_0(48,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r59,axiom,( r1_xxreal_0(48,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r6,axiom,( ~ r1_xxreal_0(48,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r60,axiom,( r1_xxreal_0(48,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r61,axiom,( r1_xxreal_0(48,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r62,axiom,( r1_xxreal_0(48,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r63,axiom,( r1_xxreal_0(48,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r64,axiom,( r1_xxreal_0(48,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r7,axiom,( ~ r1_xxreal_0(48,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r8,axiom,( ~ r1_xxreal_0(48,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r84,axiom,( r1_xxreal_0(48,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_r9,axiom,( ~ r1_xxreal_0(48,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_rm44,axiom,( ~ r1_xxreal_0(48,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r48_rn1d24,axiom,( ~ r1_xxreal_0(48,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r0,axiom,( ~ r1_xxreal_0(49,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r1,axiom,( ~ r1_xxreal_0(49,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r10,axiom,( ~ r1_xxreal_0(49,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r11,axiom,( ~ r1_xxreal_0(49,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r12,axiom,( ~ r1_xxreal_0(49,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r13,axiom,( ~ r1_xxreal_0(49,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r14,axiom,( ~ r1_xxreal_0(49,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r15,axiom,( ~ r1_xxreal_0(49,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r16,axiom,( ~ r1_xxreal_0(49,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r17,axiom,( ~ r1_xxreal_0(49,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r18,axiom,( ~ r1_xxreal_0(49,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r19,axiom,( ~ r1_xxreal_0(49,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r2,axiom,( ~ r1_xxreal_0(49,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r20,axiom,( ~ r1_xxreal_0(49,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r21,axiom,( ~ r1_xxreal_0(49,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r22,axiom,( ~ r1_xxreal_0(49,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r23,axiom,( ~ r1_xxreal_0(49,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r24,axiom,( ~ r1_xxreal_0(49,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r25,axiom,( ~ r1_xxreal_0(49,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r26,axiom,( ~ r1_xxreal_0(49,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r27,axiom,( ~ r1_xxreal_0(49,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r28,axiom,( ~ r1_xxreal_0(49,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r29,axiom,( ~ r1_xxreal_0(49,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r3,axiom,( ~ r1_xxreal_0(49,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r30,axiom,( ~ r1_xxreal_0(49,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r31,axiom,( ~ r1_xxreal_0(49,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r32,axiom,( ~ r1_xxreal_0(49,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r33,axiom,( ~ r1_xxreal_0(49,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r34,axiom,( ~ r1_xxreal_0(49,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r35,axiom,( ~ r1_xxreal_0(49,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r36,axiom,( ~ r1_xxreal_0(49,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r37,axiom,( ~ r1_xxreal_0(49,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r38,axiom,( ~ r1_xxreal_0(49,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r39,axiom,( ~ r1_xxreal_0(49,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r4,axiom,( ~ r1_xxreal_0(49,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r40,axiom,( ~ r1_xxreal_0(49,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r41,axiom,( ~ r1_xxreal_0(49,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r42,axiom,( ~ r1_xxreal_0(49,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r43,axiom,( ~ r1_xxreal_0(49,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r44,axiom,( ~ r1_xxreal_0(49,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r45,axiom,( ~ r1_xxreal_0(49,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r46,axiom,( ~ r1_xxreal_0(49,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r47,axiom,( ~ r1_xxreal_0(49,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r48,axiom,( ~ r1_xxreal_0(49,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r49,axiom,( r1_xxreal_0(49,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r5,axiom,( ~ r1_xxreal_0(49,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r50,axiom,( r1_xxreal_0(49,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r51,axiom,( r1_xxreal_0(49,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r52,axiom,( r1_xxreal_0(49,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r53,axiom,( r1_xxreal_0(49,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r54,axiom,( r1_xxreal_0(49,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r55,axiom,( r1_xxreal_0(49,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r56,axiom,( r1_xxreal_0(49,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r57,axiom,( r1_xxreal_0(49,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r58,axiom,( r1_xxreal_0(49,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r59,axiom,( r1_xxreal_0(49,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r6,axiom,( ~ r1_xxreal_0(49,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r60,axiom,( r1_xxreal_0(49,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r61,axiom,( r1_xxreal_0(49,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r62,axiom,( r1_xxreal_0(49,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r63,axiom,( r1_xxreal_0(49,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r64,axiom,( r1_xxreal_0(49,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r7,axiom,( ~ r1_xxreal_0(49,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r8,axiom,( ~ r1_xxreal_0(49,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_r9,axiom,( ~ r1_xxreal_0(49,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_rm1,axiom,( ~ r1_xxreal_0(49,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r49_rn1d8,axiom,( ~ r1_xxreal_0(49,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r0,axiom,( ~ r1_xxreal_0(4,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1,axiom,( ~ r1_xxreal_0(4,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r10,axiom,( r1_xxreal_0(4,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r11,axiom,( r1_xxreal_0(4,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r12,axiom,( r1_xxreal_0(4,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r120,axiom,( r1_xxreal_0(4,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r128,axiom,( r1_xxreal_0(4,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r13,axiom,( r1_xxreal_0(4,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r14,axiom,( r1_xxreal_0(4,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r15,axiom,( r1_xxreal_0(4,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r16,axiom,( r1_xxreal_0(4,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r17,axiom,( r1_xxreal_0(4,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r18,axiom,( r1_xxreal_0(4,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r19,axiom,( r1_xxreal_0(4,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2,axiom,( ~ r1_xxreal_0(4,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r20,axiom,( r1_xxreal_0(4,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r21,axiom,( r1_xxreal_0(4,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r22,axiom,( r1_xxreal_0(4,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r23,axiom,( r1_xxreal_0(4,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r24,axiom,( r1_xxreal_0(4,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r25,axiom,( r1_xxreal_0(4,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r26,axiom,( r1_xxreal_0(4,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r27,axiom,( r1_xxreal_0(4,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r28,axiom,( r1_xxreal_0(4,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r29,axiom,( r1_xxreal_0(4,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3,axiom,( ~ r1_xxreal_0(4,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r30,axiom,( r1_xxreal_0(4,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r31,axiom,( r1_xxreal_0(4,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r32,axiom,( r1_xxreal_0(4,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r33,axiom,( r1_xxreal_0(4,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r34,axiom,( r1_xxreal_0(4,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r35,axiom,( r1_xxreal_0(4,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r36,axiom,( r1_xxreal_0(4,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r37,axiom,( r1_xxreal_0(4,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r38,axiom,( r1_xxreal_0(4,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r39,axiom,( r1_xxreal_0(4,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4,axiom,( r1_xxreal_0(4,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r40,axiom,( r1_xxreal_0(4,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r41,axiom,( r1_xxreal_0(4,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r42,axiom,( r1_xxreal_0(4,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r43,axiom,( r1_xxreal_0(4,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r44,axiom,( r1_xxreal_0(4,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r45,axiom,( r1_xxreal_0(4,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r46,axiom,( r1_xxreal_0(4,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r47,axiom,( r1_xxreal_0(4,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r48,axiom,( r1_xxreal_0(4,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r49,axiom,( r1_xxreal_0(4,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5,axiom,( r1_xxreal_0(4,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r50,axiom,( r1_xxreal_0(4,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r51,axiom,( r1_xxreal_0(4,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r52,axiom,( r1_xxreal_0(4,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r53,axiom,( r1_xxreal_0(4,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r54,axiom,( r1_xxreal_0(4,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r55,axiom,( r1_xxreal_0(4,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r56,axiom,( r1_xxreal_0(4,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r57,axiom,( r1_xxreal_0(4,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r58,axiom,( r1_xxreal_0(4,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r59,axiom,( r1_xxreal_0(4,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r6,axiom,( r1_xxreal_0(4,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r60,axiom,( r1_xxreal_0(4,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r61,axiom,( r1_xxreal_0(4,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r62,axiom,( r1_xxreal_0(4,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r63,axiom,( r1_xxreal_0(4,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r64,axiom,( r1_xxreal_0(4,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r7,axiom,( r1_xxreal_0(4,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r72,axiom,( r1_xxreal_0(4,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r73,axiom,( r1_xxreal_0(4,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8,axiom,( r1_xxreal_0(4,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r84,axiom,( r1_xxreal_0(4,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r9,axiom,( r1_xxreal_0(4,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_r96,axiom,( r1_xxreal_0(4,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm1,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm2,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm3,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm4,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm44,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm5,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm7,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm8,axiom,( ~ r1_xxreal_0(4,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn14d3,axiom,( r1_xxreal_0(4,k7_xcmplx_0(14,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn15d2,axiom,( r1_xxreal_0(4,k7_xcmplx_0(15,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn15d32,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(15,32)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn16d9,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(16,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn17d4,axiom,( r1_xxreal_0(4,k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn19d5,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(19,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d16,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d2,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d24,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d256,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d4,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d6,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d8,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn25d16,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn25d4,axiom,( r1_xxreal_0(4,k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn26d3,axiom,( r1_xxreal_0(4,k7_xcmplx_0(26,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn3d2,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn3d4,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn4d5,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(4,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn5d4,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn5d6,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn7d2,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn9d4,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm1d2,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm1d4,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r4_rnm3d4,axiom,( ~ r1_xxreal_0(4,k7_xcmplx_0(k4_xcmplx_0(3),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r0,axiom,( ~ r1_xxreal_0(503,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r1,axiom,( ~ r1_xxreal_0(503,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r123,axiom,( ~ r1_xxreal_0(503,123) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r14,axiom,( ~ r1_xxreal_0(503,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r164,axiom,( ~ r1_xxreal_0(503,164) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r172,axiom,( ~ r1_xxreal_0(503,172) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r2,axiom,( ~ r1_xxreal_0(503,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r241,axiom,( ~ r1_xxreal_0(503,241) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r256,axiom,( ~ r1_xxreal_0(503,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r263,axiom,( ~ r1_xxreal_0(503,263) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r325,axiom,( ~ r1_xxreal_0(503,325) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r332,axiom,( ~ r1_xxreal_0(503,332) )).
fof(rqLessOrEqual__r1_xxreal_0__r503_r4,axiom,( ~ r1_xxreal_0(503,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r0,axiom,( ~ r1_xxreal_0(50,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r1,axiom,( ~ r1_xxreal_0(50,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r10,axiom,( ~ r1_xxreal_0(50,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r11,axiom,( ~ r1_xxreal_0(50,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r12,axiom,( ~ r1_xxreal_0(50,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r13,axiom,( ~ r1_xxreal_0(50,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r14,axiom,( ~ r1_xxreal_0(50,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r15,axiom,( ~ r1_xxreal_0(50,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r16,axiom,( ~ r1_xxreal_0(50,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r17,axiom,( ~ r1_xxreal_0(50,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r18,axiom,( ~ r1_xxreal_0(50,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r19,axiom,( ~ r1_xxreal_0(50,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r2,axiom,( ~ r1_xxreal_0(50,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r20,axiom,( ~ r1_xxreal_0(50,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r21,axiom,( ~ r1_xxreal_0(50,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r22,axiom,( ~ r1_xxreal_0(50,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r23,axiom,( ~ r1_xxreal_0(50,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r24,axiom,( ~ r1_xxreal_0(50,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r25,axiom,( ~ r1_xxreal_0(50,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r26,axiom,( ~ r1_xxreal_0(50,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r27,axiom,( ~ r1_xxreal_0(50,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r28,axiom,( ~ r1_xxreal_0(50,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r29,axiom,( ~ r1_xxreal_0(50,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r3,axiom,( ~ r1_xxreal_0(50,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r30,axiom,( ~ r1_xxreal_0(50,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r31,axiom,( ~ r1_xxreal_0(50,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r32,axiom,( ~ r1_xxreal_0(50,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r33,axiom,( ~ r1_xxreal_0(50,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r34,axiom,( ~ r1_xxreal_0(50,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r35,axiom,( ~ r1_xxreal_0(50,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r36,axiom,( ~ r1_xxreal_0(50,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r37,axiom,( ~ r1_xxreal_0(50,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r38,axiom,( ~ r1_xxreal_0(50,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r39,axiom,( ~ r1_xxreal_0(50,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r4,axiom,( ~ r1_xxreal_0(50,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r40,axiom,( ~ r1_xxreal_0(50,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r41,axiom,( ~ r1_xxreal_0(50,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r42,axiom,( ~ r1_xxreal_0(50,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r43,axiom,( ~ r1_xxreal_0(50,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r44,axiom,( ~ r1_xxreal_0(50,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r45,axiom,( ~ r1_xxreal_0(50,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r46,axiom,( ~ r1_xxreal_0(50,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r47,axiom,( ~ r1_xxreal_0(50,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r48,axiom,( ~ r1_xxreal_0(50,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r49,axiom,( ~ r1_xxreal_0(50,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r5,axiom,( ~ r1_xxreal_0(50,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r50,axiom,( r1_xxreal_0(50,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r51,axiom,( r1_xxreal_0(50,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r52,axiom,( r1_xxreal_0(50,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r53,axiom,( r1_xxreal_0(50,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r54,axiom,( r1_xxreal_0(50,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r55,axiom,( r1_xxreal_0(50,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r56,axiom,( r1_xxreal_0(50,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r57,axiom,( r1_xxreal_0(50,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r58,axiom,( r1_xxreal_0(50,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r59,axiom,( r1_xxreal_0(50,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r6,axiom,( ~ r1_xxreal_0(50,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r60,axiom,( r1_xxreal_0(50,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r61,axiom,( r1_xxreal_0(50,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r62,axiom,( r1_xxreal_0(50,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r63,axiom,( r1_xxreal_0(50,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r64,axiom,( r1_xxreal_0(50,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r7,axiom,( ~ r1_xxreal_0(50,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r8,axiom,( ~ r1_xxreal_0(50,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r50_r9,axiom,( ~ r1_xxreal_0(50,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r1,axiom,( ~ r1_xxreal_0(512,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r11,axiom,( ~ r1_xxreal_0(512,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r2,axiom,( ~ r1_xxreal_0(512,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r22,axiom,( ~ r1_xxreal_0(512,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r23,axiom,( ~ r1_xxreal_0(512,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r256,axiom,( ~ r1_xxreal_0(512,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r400,axiom,( ~ r1_xxreal_0(512,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r8,axiom,( ~ r1_xxreal_0(512,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r512_r9,axiom,( ~ r1_xxreal_0(512,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r0,axiom,( ~ r1_xxreal_0(51,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r1,axiom,( ~ r1_xxreal_0(51,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r10,axiom,( ~ r1_xxreal_0(51,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r11,axiom,( ~ r1_xxreal_0(51,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r12,axiom,( ~ r1_xxreal_0(51,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r13,axiom,( ~ r1_xxreal_0(51,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r14,axiom,( ~ r1_xxreal_0(51,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r15,axiom,( ~ r1_xxreal_0(51,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r16,axiom,( ~ r1_xxreal_0(51,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r17,axiom,( ~ r1_xxreal_0(51,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r18,axiom,( ~ r1_xxreal_0(51,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r19,axiom,( ~ r1_xxreal_0(51,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r2,axiom,( ~ r1_xxreal_0(51,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r20,axiom,( ~ r1_xxreal_0(51,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r21,axiom,( ~ r1_xxreal_0(51,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r22,axiom,( ~ r1_xxreal_0(51,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r23,axiom,( ~ r1_xxreal_0(51,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r24,axiom,( ~ r1_xxreal_0(51,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r25,axiom,( ~ r1_xxreal_0(51,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r26,axiom,( ~ r1_xxreal_0(51,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r27,axiom,( ~ r1_xxreal_0(51,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r28,axiom,( ~ r1_xxreal_0(51,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r29,axiom,( ~ r1_xxreal_0(51,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r3,axiom,( ~ r1_xxreal_0(51,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r30,axiom,( ~ r1_xxreal_0(51,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r31,axiom,( ~ r1_xxreal_0(51,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r32,axiom,( ~ r1_xxreal_0(51,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r33,axiom,( ~ r1_xxreal_0(51,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r34,axiom,( ~ r1_xxreal_0(51,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r35,axiom,( ~ r1_xxreal_0(51,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r36,axiom,( ~ r1_xxreal_0(51,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r37,axiom,( ~ r1_xxreal_0(51,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r38,axiom,( ~ r1_xxreal_0(51,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r39,axiom,( ~ r1_xxreal_0(51,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r4,axiom,( ~ r1_xxreal_0(51,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r40,axiom,( ~ r1_xxreal_0(51,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r41,axiom,( ~ r1_xxreal_0(51,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r42,axiom,( ~ r1_xxreal_0(51,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r43,axiom,( ~ r1_xxreal_0(51,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r44,axiom,( ~ r1_xxreal_0(51,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r45,axiom,( ~ r1_xxreal_0(51,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r46,axiom,( ~ r1_xxreal_0(51,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r47,axiom,( ~ r1_xxreal_0(51,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r48,axiom,( ~ r1_xxreal_0(51,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r49,axiom,( ~ r1_xxreal_0(51,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r5,axiom,( ~ r1_xxreal_0(51,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r50,axiom,( ~ r1_xxreal_0(51,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r51,axiom,( r1_xxreal_0(51,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r52,axiom,( r1_xxreal_0(51,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r53,axiom,( r1_xxreal_0(51,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r54,axiom,( r1_xxreal_0(51,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r55,axiom,( r1_xxreal_0(51,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r56,axiom,( r1_xxreal_0(51,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r57,axiom,( r1_xxreal_0(51,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r58,axiom,( r1_xxreal_0(51,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r59,axiom,( r1_xxreal_0(51,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r6,axiom,( ~ r1_xxreal_0(51,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r60,axiom,( r1_xxreal_0(51,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r61,axiom,( r1_xxreal_0(51,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r62,axiom,( r1_xxreal_0(51,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r63,axiom,( r1_xxreal_0(51,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r64,axiom,( r1_xxreal_0(51,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r7,axiom,( ~ r1_xxreal_0(51,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r8,axiom,( ~ r1_xxreal_0(51,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r51_r9,axiom,( ~ r1_xxreal_0(51,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r0,axiom,( ~ r1_xxreal_0(52,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r1,axiom,( ~ r1_xxreal_0(52,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r10,axiom,( ~ r1_xxreal_0(52,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r11,axiom,( ~ r1_xxreal_0(52,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r12,axiom,( ~ r1_xxreal_0(52,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r13,axiom,( ~ r1_xxreal_0(52,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r14,axiom,( ~ r1_xxreal_0(52,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r15,axiom,( ~ r1_xxreal_0(52,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r16,axiom,( ~ r1_xxreal_0(52,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r17,axiom,( ~ r1_xxreal_0(52,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r18,axiom,( ~ r1_xxreal_0(52,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r19,axiom,( ~ r1_xxreal_0(52,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r2,axiom,( ~ r1_xxreal_0(52,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r20,axiom,( ~ r1_xxreal_0(52,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r21,axiom,( ~ r1_xxreal_0(52,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r22,axiom,( ~ r1_xxreal_0(52,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r23,axiom,( ~ r1_xxreal_0(52,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r24,axiom,( ~ r1_xxreal_0(52,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r25,axiom,( ~ r1_xxreal_0(52,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r26,axiom,( ~ r1_xxreal_0(52,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r27,axiom,( ~ r1_xxreal_0(52,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r28,axiom,( ~ r1_xxreal_0(52,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r29,axiom,( ~ r1_xxreal_0(52,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r3,axiom,( ~ r1_xxreal_0(52,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r30,axiom,( ~ r1_xxreal_0(52,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r31,axiom,( ~ r1_xxreal_0(52,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r32,axiom,( ~ r1_xxreal_0(52,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r33,axiom,( ~ r1_xxreal_0(52,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r34,axiom,( ~ r1_xxreal_0(52,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r35,axiom,( ~ r1_xxreal_0(52,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r36,axiom,( ~ r1_xxreal_0(52,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r37,axiom,( ~ r1_xxreal_0(52,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r38,axiom,( ~ r1_xxreal_0(52,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r39,axiom,( ~ r1_xxreal_0(52,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r4,axiom,( ~ r1_xxreal_0(52,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r40,axiom,( ~ r1_xxreal_0(52,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r41,axiom,( ~ r1_xxreal_0(52,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r42,axiom,( ~ r1_xxreal_0(52,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r43,axiom,( ~ r1_xxreal_0(52,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r44,axiom,( ~ r1_xxreal_0(52,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r45,axiom,( ~ r1_xxreal_0(52,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r46,axiom,( ~ r1_xxreal_0(52,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r47,axiom,( ~ r1_xxreal_0(52,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r48,axiom,( ~ r1_xxreal_0(52,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r49,axiom,( ~ r1_xxreal_0(52,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r5,axiom,( ~ r1_xxreal_0(52,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r50,axiom,( ~ r1_xxreal_0(52,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r51,axiom,( ~ r1_xxreal_0(52,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r52,axiom,( r1_xxreal_0(52,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r53,axiom,( r1_xxreal_0(52,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r54,axiom,( r1_xxreal_0(52,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r55,axiom,( r1_xxreal_0(52,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r56,axiom,( r1_xxreal_0(52,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r57,axiom,( r1_xxreal_0(52,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r58,axiom,( r1_xxreal_0(52,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r59,axiom,( r1_xxreal_0(52,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r6,axiom,( ~ r1_xxreal_0(52,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r60,axiom,( r1_xxreal_0(52,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r61,axiom,( r1_xxreal_0(52,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r62,axiom,( r1_xxreal_0(52,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r63,axiom,( r1_xxreal_0(52,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r64,axiom,( r1_xxreal_0(52,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r7,axiom,( ~ r1_xxreal_0(52,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r8,axiom,( ~ r1_xxreal_0(52,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r52_r9,axiom,( ~ r1_xxreal_0(52,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r0,axiom,( ~ r1_xxreal_0(53,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r1,axiom,( ~ r1_xxreal_0(53,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r10,axiom,( ~ r1_xxreal_0(53,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r11,axiom,( ~ r1_xxreal_0(53,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r12,axiom,( ~ r1_xxreal_0(53,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r13,axiom,( ~ r1_xxreal_0(53,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r14,axiom,( ~ r1_xxreal_0(53,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r15,axiom,( ~ r1_xxreal_0(53,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r16,axiom,( ~ r1_xxreal_0(53,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r17,axiom,( ~ r1_xxreal_0(53,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r18,axiom,( ~ r1_xxreal_0(53,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r19,axiom,( ~ r1_xxreal_0(53,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r2,axiom,( ~ r1_xxreal_0(53,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r20,axiom,( ~ r1_xxreal_0(53,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r21,axiom,( ~ r1_xxreal_0(53,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r22,axiom,( ~ r1_xxreal_0(53,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r23,axiom,( ~ r1_xxreal_0(53,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r24,axiom,( ~ r1_xxreal_0(53,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r25,axiom,( ~ r1_xxreal_0(53,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r26,axiom,( ~ r1_xxreal_0(53,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r27,axiom,( ~ r1_xxreal_0(53,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r28,axiom,( ~ r1_xxreal_0(53,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r29,axiom,( ~ r1_xxreal_0(53,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r3,axiom,( ~ r1_xxreal_0(53,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r30,axiom,( ~ r1_xxreal_0(53,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r31,axiom,( ~ r1_xxreal_0(53,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r32,axiom,( ~ r1_xxreal_0(53,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r33,axiom,( ~ r1_xxreal_0(53,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r34,axiom,( ~ r1_xxreal_0(53,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r35,axiom,( ~ r1_xxreal_0(53,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r36,axiom,( ~ r1_xxreal_0(53,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r37,axiom,( ~ r1_xxreal_0(53,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r38,axiom,( ~ r1_xxreal_0(53,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r39,axiom,( ~ r1_xxreal_0(53,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r4,axiom,( ~ r1_xxreal_0(53,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r40,axiom,( ~ r1_xxreal_0(53,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r41,axiom,( ~ r1_xxreal_0(53,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r42,axiom,( ~ r1_xxreal_0(53,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r43,axiom,( ~ r1_xxreal_0(53,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r44,axiom,( ~ r1_xxreal_0(53,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r45,axiom,( ~ r1_xxreal_0(53,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r46,axiom,( ~ r1_xxreal_0(53,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r47,axiom,( ~ r1_xxreal_0(53,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r48,axiom,( ~ r1_xxreal_0(53,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r49,axiom,( ~ r1_xxreal_0(53,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r5,axiom,( ~ r1_xxreal_0(53,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r50,axiom,( ~ r1_xxreal_0(53,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r51,axiom,( ~ r1_xxreal_0(53,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r52,axiom,( ~ r1_xxreal_0(53,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r53,axiom,( r1_xxreal_0(53,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r54,axiom,( r1_xxreal_0(53,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r55,axiom,( r1_xxreal_0(53,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r56,axiom,( r1_xxreal_0(53,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r57,axiom,( r1_xxreal_0(53,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r58,axiom,( r1_xxreal_0(53,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r59,axiom,( r1_xxreal_0(53,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r6,axiom,( ~ r1_xxreal_0(53,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r60,axiom,( r1_xxreal_0(53,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r61,axiom,( r1_xxreal_0(53,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r62,axiom,( r1_xxreal_0(53,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r63,axiom,( r1_xxreal_0(53,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r64,axiom,( r1_xxreal_0(53,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r7,axiom,( ~ r1_xxreal_0(53,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r8,axiom,( ~ r1_xxreal_0(53,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_r9,axiom,( ~ r1_xxreal_0(53,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r53_rm1,axiom,( ~ r1_xxreal_0(53,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r0,axiom,( ~ r1_xxreal_0(54,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r1,axiom,( ~ r1_xxreal_0(54,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r10,axiom,( ~ r1_xxreal_0(54,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r11,axiom,( ~ r1_xxreal_0(54,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r12,axiom,( ~ r1_xxreal_0(54,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r13,axiom,( ~ r1_xxreal_0(54,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r14,axiom,( ~ r1_xxreal_0(54,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r15,axiom,( ~ r1_xxreal_0(54,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r16,axiom,( ~ r1_xxreal_0(54,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r17,axiom,( ~ r1_xxreal_0(54,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r18,axiom,( ~ r1_xxreal_0(54,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r19,axiom,( ~ r1_xxreal_0(54,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r2,axiom,( ~ r1_xxreal_0(54,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r20,axiom,( ~ r1_xxreal_0(54,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r21,axiom,( ~ r1_xxreal_0(54,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r22,axiom,( ~ r1_xxreal_0(54,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r23,axiom,( ~ r1_xxreal_0(54,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r24,axiom,( ~ r1_xxreal_0(54,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r25,axiom,( ~ r1_xxreal_0(54,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r26,axiom,( ~ r1_xxreal_0(54,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r27,axiom,( ~ r1_xxreal_0(54,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r28,axiom,( ~ r1_xxreal_0(54,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r29,axiom,( ~ r1_xxreal_0(54,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r3,axiom,( ~ r1_xxreal_0(54,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r30,axiom,( ~ r1_xxreal_0(54,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r31,axiom,( ~ r1_xxreal_0(54,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r32,axiom,( ~ r1_xxreal_0(54,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r33,axiom,( ~ r1_xxreal_0(54,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r34,axiom,( ~ r1_xxreal_0(54,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r35,axiom,( ~ r1_xxreal_0(54,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r36,axiom,( ~ r1_xxreal_0(54,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r37,axiom,( ~ r1_xxreal_0(54,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r38,axiom,( ~ r1_xxreal_0(54,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r39,axiom,( ~ r1_xxreal_0(54,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r4,axiom,( ~ r1_xxreal_0(54,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r40,axiom,( ~ r1_xxreal_0(54,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r400,axiom,( r1_xxreal_0(54,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r41,axiom,( ~ r1_xxreal_0(54,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r42,axiom,( ~ r1_xxreal_0(54,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r43,axiom,( ~ r1_xxreal_0(54,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r44,axiom,( ~ r1_xxreal_0(54,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r45,axiom,( ~ r1_xxreal_0(54,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r46,axiom,( ~ r1_xxreal_0(54,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r47,axiom,( ~ r1_xxreal_0(54,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r48,axiom,( ~ r1_xxreal_0(54,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r49,axiom,( ~ r1_xxreal_0(54,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r5,axiom,( ~ r1_xxreal_0(54,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r50,axiom,( ~ r1_xxreal_0(54,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r51,axiom,( ~ r1_xxreal_0(54,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r52,axiom,( ~ r1_xxreal_0(54,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r53,axiom,( ~ r1_xxreal_0(54,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r54,axiom,( r1_xxreal_0(54,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r55,axiom,( r1_xxreal_0(54,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r56,axiom,( r1_xxreal_0(54,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r57,axiom,( r1_xxreal_0(54,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r58,axiom,( r1_xxreal_0(54,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r59,axiom,( r1_xxreal_0(54,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r6,axiom,( ~ r1_xxreal_0(54,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r60,axiom,( r1_xxreal_0(54,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r61,axiom,( r1_xxreal_0(54,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r62,axiom,( r1_xxreal_0(54,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r63,axiom,( r1_xxreal_0(54,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r64,axiom,( r1_xxreal_0(54,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r7,axiom,( ~ r1_xxreal_0(54,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r8,axiom,( ~ r1_xxreal_0(54,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_r9,axiom,( ~ r1_xxreal_0(54,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_rn1d2,axiom,( ~ r1_xxreal_0(54,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r54_rn1d4,axiom,( ~ r1_xxreal_0(54,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r553_r0,axiom,( ~ r1_xxreal_0(553,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r554_r0,axiom,( ~ r1_xxreal_0(554,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r0,axiom,( ~ r1_xxreal_0(55,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r1,axiom,( ~ r1_xxreal_0(55,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r10,axiom,( ~ r1_xxreal_0(55,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r11,axiom,( ~ r1_xxreal_0(55,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r12,axiom,( ~ r1_xxreal_0(55,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r13,axiom,( ~ r1_xxreal_0(55,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r14,axiom,( ~ r1_xxreal_0(55,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r15,axiom,( ~ r1_xxreal_0(55,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r16,axiom,( ~ r1_xxreal_0(55,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r17,axiom,( ~ r1_xxreal_0(55,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r18,axiom,( ~ r1_xxreal_0(55,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r19,axiom,( ~ r1_xxreal_0(55,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r2,axiom,( ~ r1_xxreal_0(55,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r20,axiom,( ~ r1_xxreal_0(55,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r21,axiom,( ~ r1_xxreal_0(55,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r22,axiom,( ~ r1_xxreal_0(55,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r23,axiom,( ~ r1_xxreal_0(55,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r24,axiom,( ~ r1_xxreal_0(55,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r25,axiom,( ~ r1_xxreal_0(55,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r26,axiom,( ~ r1_xxreal_0(55,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r27,axiom,( ~ r1_xxreal_0(55,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r28,axiom,( ~ r1_xxreal_0(55,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r29,axiom,( ~ r1_xxreal_0(55,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r3,axiom,( ~ r1_xxreal_0(55,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r30,axiom,( ~ r1_xxreal_0(55,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r31,axiom,( ~ r1_xxreal_0(55,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r32,axiom,( ~ r1_xxreal_0(55,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r33,axiom,( ~ r1_xxreal_0(55,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r34,axiom,( ~ r1_xxreal_0(55,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r35,axiom,( ~ r1_xxreal_0(55,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r36,axiom,( ~ r1_xxreal_0(55,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r37,axiom,( ~ r1_xxreal_0(55,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r38,axiom,( ~ r1_xxreal_0(55,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r39,axiom,( ~ r1_xxreal_0(55,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r4,axiom,( ~ r1_xxreal_0(55,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r40,axiom,( ~ r1_xxreal_0(55,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r41,axiom,( ~ r1_xxreal_0(55,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r42,axiom,( ~ r1_xxreal_0(55,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r43,axiom,( ~ r1_xxreal_0(55,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r44,axiom,( ~ r1_xxreal_0(55,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r45,axiom,( ~ r1_xxreal_0(55,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r46,axiom,( ~ r1_xxreal_0(55,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r47,axiom,( ~ r1_xxreal_0(55,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r48,axiom,( ~ r1_xxreal_0(55,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r49,axiom,( ~ r1_xxreal_0(55,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r5,axiom,( ~ r1_xxreal_0(55,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r50,axiom,( ~ r1_xxreal_0(55,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r51,axiom,( ~ r1_xxreal_0(55,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r52,axiom,( ~ r1_xxreal_0(55,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r53,axiom,( ~ r1_xxreal_0(55,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r54,axiom,( ~ r1_xxreal_0(55,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r55,axiom,( r1_xxreal_0(55,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r56,axiom,( r1_xxreal_0(55,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r57,axiom,( r1_xxreal_0(55,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r58,axiom,( r1_xxreal_0(55,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r59,axiom,( r1_xxreal_0(55,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r6,axiom,( ~ r1_xxreal_0(55,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r60,axiom,( r1_xxreal_0(55,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r61,axiom,( r1_xxreal_0(55,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r62,axiom,( r1_xxreal_0(55,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r63,axiom,( r1_xxreal_0(55,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r64,axiom,( r1_xxreal_0(55,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r7,axiom,( ~ r1_xxreal_0(55,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r8,axiom,( ~ r1_xxreal_0(55,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r55_r9,axiom,( ~ r1_xxreal_0(55,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r569_r0,axiom,( ~ r1_xxreal_0(569,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r0,axiom,( ~ r1_xxreal_0(56,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r1,axiom,( ~ r1_xxreal_0(56,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r10,axiom,( ~ r1_xxreal_0(56,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r11,axiom,( ~ r1_xxreal_0(56,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r12,axiom,( ~ r1_xxreal_0(56,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r13,axiom,( ~ r1_xxreal_0(56,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r14,axiom,( ~ r1_xxreal_0(56,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r15,axiom,( ~ r1_xxreal_0(56,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r16,axiom,( ~ r1_xxreal_0(56,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r17,axiom,( ~ r1_xxreal_0(56,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r18,axiom,( ~ r1_xxreal_0(56,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r19,axiom,( ~ r1_xxreal_0(56,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r2,axiom,( ~ r1_xxreal_0(56,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r20,axiom,( ~ r1_xxreal_0(56,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r21,axiom,( ~ r1_xxreal_0(56,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r22,axiom,( ~ r1_xxreal_0(56,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r23,axiom,( ~ r1_xxreal_0(56,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r24,axiom,( ~ r1_xxreal_0(56,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r25,axiom,( ~ r1_xxreal_0(56,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r26,axiom,( ~ r1_xxreal_0(56,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r27,axiom,( ~ r1_xxreal_0(56,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r28,axiom,( ~ r1_xxreal_0(56,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r29,axiom,( ~ r1_xxreal_0(56,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r3,axiom,( ~ r1_xxreal_0(56,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r30,axiom,( ~ r1_xxreal_0(56,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r31,axiom,( ~ r1_xxreal_0(56,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r32,axiom,( ~ r1_xxreal_0(56,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r33,axiom,( ~ r1_xxreal_0(56,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r34,axiom,( ~ r1_xxreal_0(56,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r35,axiom,( ~ r1_xxreal_0(56,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r36,axiom,( ~ r1_xxreal_0(56,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r37,axiom,( ~ r1_xxreal_0(56,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r38,axiom,( ~ r1_xxreal_0(56,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r39,axiom,( ~ r1_xxreal_0(56,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r4,axiom,( ~ r1_xxreal_0(56,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r40,axiom,( ~ r1_xxreal_0(56,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r41,axiom,( ~ r1_xxreal_0(56,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r42,axiom,( ~ r1_xxreal_0(56,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r43,axiom,( ~ r1_xxreal_0(56,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r44,axiom,( ~ r1_xxreal_0(56,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r45,axiom,( ~ r1_xxreal_0(56,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r46,axiom,( ~ r1_xxreal_0(56,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r47,axiom,( ~ r1_xxreal_0(56,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r48,axiom,( ~ r1_xxreal_0(56,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r49,axiom,( ~ r1_xxreal_0(56,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r5,axiom,( ~ r1_xxreal_0(56,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r50,axiom,( ~ r1_xxreal_0(56,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r51,axiom,( ~ r1_xxreal_0(56,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r52,axiom,( ~ r1_xxreal_0(56,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r53,axiom,( ~ r1_xxreal_0(56,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r54,axiom,( ~ r1_xxreal_0(56,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r55,axiom,( ~ r1_xxreal_0(56,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r56,axiom,( r1_xxreal_0(56,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r57,axiom,( r1_xxreal_0(56,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r58,axiom,( r1_xxreal_0(56,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r59,axiom,( r1_xxreal_0(56,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r6,axiom,( ~ r1_xxreal_0(56,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r60,axiom,( r1_xxreal_0(56,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r61,axiom,( r1_xxreal_0(56,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r62,axiom,( r1_xxreal_0(56,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r63,axiom,( r1_xxreal_0(56,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r64,axiom,( r1_xxreal_0(56,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r7,axiom,( ~ r1_xxreal_0(56,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r8,axiom,( ~ r1_xxreal_0(56,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r56_r9,axiom,( ~ r1_xxreal_0(56,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r577_r0,axiom,( ~ r1_xxreal_0(577,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r578_r0,axiom,( ~ r1_xxreal_0(578,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r0,axiom,( ~ r1_xxreal_0(57,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r1,axiom,( ~ r1_xxreal_0(57,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r10,axiom,( ~ r1_xxreal_0(57,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r11,axiom,( ~ r1_xxreal_0(57,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r12,axiom,( ~ r1_xxreal_0(57,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r13,axiom,( ~ r1_xxreal_0(57,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r14,axiom,( ~ r1_xxreal_0(57,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r15,axiom,( ~ r1_xxreal_0(57,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r16,axiom,( ~ r1_xxreal_0(57,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r17,axiom,( ~ r1_xxreal_0(57,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r18,axiom,( ~ r1_xxreal_0(57,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r19,axiom,( ~ r1_xxreal_0(57,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r2,axiom,( ~ r1_xxreal_0(57,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r20,axiom,( ~ r1_xxreal_0(57,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r21,axiom,( ~ r1_xxreal_0(57,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r22,axiom,( ~ r1_xxreal_0(57,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r23,axiom,( ~ r1_xxreal_0(57,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r24,axiom,( ~ r1_xxreal_0(57,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r25,axiom,( ~ r1_xxreal_0(57,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r26,axiom,( ~ r1_xxreal_0(57,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r27,axiom,( ~ r1_xxreal_0(57,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r28,axiom,( ~ r1_xxreal_0(57,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r29,axiom,( ~ r1_xxreal_0(57,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r3,axiom,( ~ r1_xxreal_0(57,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r30,axiom,( ~ r1_xxreal_0(57,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r31,axiom,( ~ r1_xxreal_0(57,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r32,axiom,( ~ r1_xxreal_0(57,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r33,axiom,( ~ r1_xxreal_0(57,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r34,axiom,( ~ r1_xxreal_0(57,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r35,axiom,( ~ r1_xxreal_0(57,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r36,axiom,( ~ r1_xxreal_0(57,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r37,axiom,( ~ r1_xxreal_0(57,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r38,axiom,( ~ r1_xxreal_0(57,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r39,axiom,( ~ r1_xxreal_0(57,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r4,axiom,( ~ r1_xxreal_0(57,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r40,axiom,( ~ r1_xxreal_0(57,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r41,axiom,( ~ r1_xxreal_0(57,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r42,axiom,( ~ r1_xxreal_0(57,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r43,axiom,( ~ r1_xxreal_0(57,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r44,axiom,( ~ r1_xxreal_0(57,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r45,axiom,( ~ r1_xxreal_0(57,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r46,axiom,( ~ r1_xxreal_0(57,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r47,axiom,( ~ r1_xxreal_0(57,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r48,axiom,( ~ r1_xxreal_0(57,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r49,axiom,( ~ r1_xxreal_0(57,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r5,axiom,( ~ r1_xxreal_0(57,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r50,axiom,( ~ r1_xxreal_0(57,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r51,axiom,( ~ r1_xxreal_0(57,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r52,axiom,( ~ r1_xxreal_0(57,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r53,axiom,( ~ r1_xxreal_0(57,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r54,axiom,( ~ r1_xxreal_0(57,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r55,axiom,( ~ r1_xxreal_0(57,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r56,axiom,( ~ r1_xxreal_0(57,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r57,axiom,( r1_xxreal_0(57,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r58,axiom,( r1_xxreal_0(57,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r59,axiom,( r1_xxreal_0(57,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r6,axiom,( ~ r1_xxreal_0(57,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r60,axiom,( r1_xxreal_0(57,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r61,axiom,( r1_xxreal_0(57,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r62,axiom,( r1_xxreal_0(57,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r63,axiom,( r1_xxreal_0(57,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r64,axiom,( r1_xxreal_0(57,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r7,axiom,( ~ r1_xxreal_0(57,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r8,axiom,( ~ r1_xxreal_0(57,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r57_r9,axiom,( ~ r1_xxreal_0(57,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r0,axiom,( ~ r1_xxreal_0(58,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r1,axiom,( ~ r1_xxreal_0(58,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r10,axiom,( ~ r1_xxreal_0(58,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r11,axiom,( ~ r1_xxreal_0(58,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r12,axiom,( ~ r1_xxreal_0(58,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r13,axiom,( ~ r1_xxreal_0(58,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r14,axiom,( ~ r1_xxreal_0(58,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r15,axiom,( ~ r1_xxreal_0(58,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r16,axiom,( ~ r1_xxreal_0(58,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r17,axiom,( ~ r1_xxreal_0(58,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r18,axiom,( ~ r1_xxreal_0(58,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r19,axiom,( ~ r1_xxreal_0(58,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r2,axiom,( ~ r1_xxreal_0(58,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r20,axiom,( ~ r1_xxreal_0(58,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r21,axiom,( ~ r1_xxreal_0(58,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r22,axiom,( ~ r1_xxreal_0(58,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r23,axiom,( ~ r1_xxreal_0(58,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r24,axiom,( ~ r1_xxreal_0(58,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r25,axiom,( ~ r1_xxreal_0(58,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r26,axiom,( ~ r1_xxreal_0(58,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r27,axiom,( ~ r1_xxreal_0(58,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r28,axiom,( ~ r1_xxreal_0(58,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r29,axiom,( ~ r1_xxreal_0(58,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r3,axiom,( ~ r1_xxreal_0(58,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r30,axiom,( ~ r1_xxreal_0(58,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r31,axiom,( ~ r1_xxreal_0(58,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r32,axiom,( ~ r1_xxreal_0(58,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r33,axiom,( ~ r1_xxreal_0(58,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r34,axiom,( ~ r1_xxreal_0(58,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r35,axiom,( ~ r1_xxreal_0(58,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r36,axiom,( ~ r1_xxreal_0(58,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r37,axiom,( ~ r1_xxreal_0(58,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r38,axiom,( ~ r1_xxreal_0(58,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r39,axiom,( ~ r1_xxreal_0(58,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r4,axiom,( ~ r1_xxreal_0(58,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r40,axiom,( ~ r1_xxreal_0(58,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r41,axiom,( ~ r1_xxreal_0(58,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r42,axiom,( ~ r1_xxreal_0(58,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r43,axiom,( ~ r1_xxreal_0(58,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r44,axiom,( ~ r1_xxreal_0(58,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r45,axiom,( ~ r1_xxreal_0(58,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r46,axiom,( ~ r1_xxreal_0(58,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r47,axiom,( ~ r1_xxreal_0(58,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r48,axiom,( ~ r1_xxreal_0(58,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r49,axiom,( ~ r1_xxreal_0(58,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r5,axiom,( ~ r1_xxreal_0(58,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r50,axiom,( ~ r1_xxreal_0(58,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r51,axiom,( ~ r1_xxreal_0(58,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r52,axiom,( ~ r1_xxreal_0(58,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r53,axiom,( ~ r1_xxreal_0(58,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r54,axiom,( ~ r1_xxreal_0(58,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r55,axiom,( ~ r1_xxreal_0(58,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r56,axiom,( ~ r1_xxreal_0(58,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r57,axiom,( ~ r1_xxreal_0(58,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r58,axiom,( r1_xxreal_0(58,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r59,axiom,( r1_xxreal_0(58,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r6,axiom,( ~ r1_xxreal_0(58,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r60,axiom,( r1_xxreal_0(58,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r61,axiom,( r1_xxreal_0(58,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r62,axiom,( r1_xxreal_0(58,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r63,axiom,( r1_xxreal_0(58,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r64,axiom,( r1_xxreal_0(58,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r7,axiom,( ~ r1_xxreal_0(58,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r8,axiom,( ~ r1_xxreal_0(58,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r58_r9,axiom,( ~ r1_xxreal_0(58,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r590_r0,axiom,( ~ r1_xxreal_0(590,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r590_r446,axiom,( ~ r1_xxreal_0(590,446) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r0,axiom,( ~ r1_xxreal_0(59,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r1,axiom,( ~ r1_xxreal_0(59,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r10,axiom,( ~ r1_xxreal_0(59,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r11,axiom,( ~ r1_xxreal_0(59,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r12,axiom,( ~ r1_xxreal_0(59,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r13,axiom,( ~ r1_xxreal_0(59,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r14,axiom,( ~ r1_xxreal_0(59,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r15,axiom,( ~ r1_xxreal_0(59,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r16,axiom,( ~ r1_xxreal_0(59,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r17,axiom,( ~ r1_xxreal_0(59,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r18,axiom,( ~ r1_xxreal_0(59,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r19,axiom,( ~ r1_xxreal_0(59,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r2,axiom,( ~ r1_xxreal_0(59,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r20,axiom,( ~ r1_xxreal_0(59,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r21,axiom,( ~ r1_xxreal_0(59,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r22,axiom,( ~ r1_xxreal_0(59,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r23,axiom,( ~ r1_xxreal_0(59,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r24,axiom,( ~ r1_xxreal_0(59,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r25,axiom,( ~ r1_xxreal_0(59,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r26,axiom,( ~ r1_xxreal_0(59,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r27,axiom,( ~ r1_xxreal_0(59,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r28,axiom,( ~ r1_xxreal_0(59,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r29,axiom,( ~ r1_xxreal_0(59,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r3,axiom,( ~ r1_xxreal_0(59,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r30,axiom,( ~ r1_xxreal_0(59,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r31,axiom,( ~ r1_xxreal_0(59,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r32,axiom,( ~ r1_xxreal_0(59,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r33,axiom,( ~ r1_xxreal_0(59,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r34,axiom,( ~ r1_xxreal_0(59,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r35,axiom,( ~ r1_xxreal_0(59,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r36,axiom,( ~ r1_xxreal_0(59,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r37,axiom,( ~ r1_xxreal_0(59,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r38,axiom,( ~ r1_xxreal_0(59,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r39,axiom,( ~ r1_xxreal_0(59,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r4,axiom,( ~ r1_xxreal_0(59,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r40,axiom,( ~ r1_xxreal_0(59,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r41,axiom,( ~ r1_xxreal_0(59,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r42,axiom,( ~ r1_xxreal_0(59,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r43,axiom,( ~ r1_xxreal_0(59,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r44,axiom,( ~ r1_xxreal_0(59,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r45,axiom,( ~ r1_xxreal_0(59,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r46,axiom,( ~ r1_xxreal_0(59,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r47,axiom,( ~ r1_xxreal_0(59,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r48,axiom,( ~ r1_xxreal_0(59,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r49,axiom,( ~ r1_xxreal_0(59,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r5,axiom,( ~ r1_xxreal_0(59,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r50,axiom,( ~ r1_xxreal_0(59,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r51,axiom,( ~ r1_xxreal_0(59,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r52,axiom,( ~ r1_xxreal_0(59,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r53,axiom,( ~ r1_xxreal_0(59,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r54,axiom,( ~ r1_xxreal_0(59,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r55,axiom,( ~ r1_xxreal_0(59,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r56,axiom,( ~ r1_xxreal_0(59,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r57,axiom,( ~ r1_xxreal_0(59,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r58,axiom,( ~ r1_xxreal_0(59,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r59,axiom,( r1_xxreal_0(59,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r6,axiom,( ~ r1_xxreal_0(59,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r60,axiom,( r1_xxreal_0(59,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r61,axiom,( r1_xxreal_0(59,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r62,axiom,( r1_xxreal_0(59,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r63,axiom,( r1_xxreal_0(59,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r64,axiom,( r1_xxreal_0(59,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r7,axiom,( ~ r1_xxreal_0(59,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r8,axiom,( ~ r1_xxreal_0(59,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_r9,axiom,( ~ r1_xxreal_0(59,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r59_rm1,axiom,( ~ r1_xxreal_0(59,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r0,axiom,( ~ r1_xxreal_0(5,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1,axiom,( ~ r1_xxreal_0(5,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r10,axiom,( r1_xxreal_0(5,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r11,axiom,( r1_xxreal_0(5,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r12,axiom,( r1_xxreal_0(5,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r120,axiom,( r1_xxreal_0(5,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r128,axiom,( r1_xxreal_0(5,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r13,axiom,( r1_xxreal_0(5,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r14,axiom,( r1_xxreal_0(5,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r15,axiom,( r1_xxreal_0(5,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r16,axiom,( r1_xxreal_0(5,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r17,axiom,( r1_xxreal_0(5,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r18,axiom,( r1_xxreal_0(5,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r19,axiom,( r1_xxreal_0(5,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2,axiom,( ~ r1_xxreal_0(5,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r20,axiom,( r1_xxreal_0(5,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r21,axiom,( r1_xxreal_0(5,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r22,axiom,( r1_xxreal_0(5,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r23,axiom,( r1_xxreal_0(5,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r24,axiom,( r1_xxreal_0(5,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r25,axiom,( r1_xxreal_0(5,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r26,axiom,( r1_xxreal_0(5,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r27,axiom,( r1_xxreal_0(5,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r28,axiom,( r1_xxreal_0(5,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r29,axiom,( r1_xxreal_0(5,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3,axiom,( ~ r1_xxreal_0(5,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r30,axiom,( r1_xxreal_0(5,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r31,axiom,( r1_xxreal_0(5,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r32,axiom,( r1_xxreal_0(5,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r33,axiom,( r1_xxreal_0(5,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r34,axiom,( r1_xxreal_0(5,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r35,axiom,( r1_xxreal_0(5,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r36,axiom,( r1_xxreal_0(5,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r37,axiom,( r1_xxreal_0(5,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r38,axiom,( r1_xxreal_0(5,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r39,axiom,( r1_xxreal_0(5,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4,axiom,( ~ r1_xxreal_0(5,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r40,axiom,( r1_xxreal_0(5,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r41,axiom,( r1_xxreal_0(5,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r42,axiom,( r1_xxreal_0(5,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r43,axiom,( r1_xxreal_0(5,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r44,axiom,( r1_xxreal_0(5,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r45,axiom,( r1_xxreal_0(5,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r46,axiom,( r1_xxreal_0(5,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r47,axiom,( r1_xxreal_0(5,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r48,axiom,( r1_xxreal_0(5,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r49,axiom,( r1_xxreal_0(5,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5,axiom,( r1_xxreal_0(5,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r50,axiom,( r1_xxreal_0(5,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r51,axiom,( r1_xxreal_0(5,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r52,axiom,( r1_xxreal_0(5,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r53,axiom,( r1_xxreal_0(5,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r54,axiom,( r1_xxreal_0(5,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r55,axiom,( r1_xxreal_0(5,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r56,axiom,( r1_xxreal_0(5,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r57,axiom,( r1_xxreal_0(5,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r58,axiom,( r1_xxreal_0(5,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r59,axiom,( r1_xxreal_0(5,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6,axiom,( r1_xxreal_0(5,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r60,axiom,( r1_xxreal_0(5,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r61,axiom,( r1_xxreal_0(5,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r62,axiom,( r1_xxreal_0(5,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r63,axiom,( r1_xxreal_0(5,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r64,axiom,( r1_xxreal_0(5,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r641,axiom,( r1_xxreal_0(5,641) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7,axiom,( r1_xxreal_0(5,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r72,axiom,( r1_xxreal_0(5,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r73,axiom,( r1_xxreal_0(5,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r8,axiom,( r1_xxreal_0(5,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r81,axiom,( r1_xxreal_0(5,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r9,axiom,( r1_xxreal_0(5,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_r96,axiom,( r1_xxreal_0(5,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm1,axiom,( ~ r1_xxreal_0(5,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm10,axiom,( ~ r1_xxreal_0(5,k4_xcmplx_0(10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm2,axiom,( ~ r1_xxreal_0(5,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm3,axiom,( ~ r1_xxreal_0(5,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm4,axiom,( ~ r1_xxreal_0(5,k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5,axiom,( ~ r1_xxreal_0(5,k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm7,axiom,( ~ r1_xxreal_0(5,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn15d32,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(15,32)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn16d9,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(16,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn19d5,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(19,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d2,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d256,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d36,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d4,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d6,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d8,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn20d9,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(20,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn256d49,axiom,( r1_xxreal_0(5,k7_xcmplx_0(256,49)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn25d36,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn3d2,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn3d4,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn3d5,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn400d81,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(400,81)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn49d9,axiom,( r1_xxreal_0(5,k7_xcmplx_0(49,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn4d5,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(4,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn5d2,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(5,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn5d4,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn5d6,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn81d5,axiom,( r1_xxreal_0(5,k7_xcmplx_0(81,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn9d10,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn9d4,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r5_rnm1d2,axiom,( ~ r1_xxreal_0(5,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r602_r0,axiom,( ~ r1_xxreal_0(602,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r605_r0,axiom,( ~ r1_xxreal_0(605,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r605_r434,axiom,( ~ r1_xxreal_0(605,434) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r0,axiom,( ~ r1_xxreal_0(60,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r1,axiom,( ~ r1_xxreal_0(60,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r10,axiom,( ~ r1_xxreal_0(60,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r11,axiom,( ~ r1_xxreal_0(60,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r12,axiom,( ~ r1_xxreal_0(60,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r13,axiom,( ~ r1_xxreal_0(60,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r14,axiom,( ~ r1_xxreal_0(60,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r15,axiom,( ~ r1_xxreal_0(60,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r16,axiom,( ~ r1_xxreal_0(60,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r17,axiom,( ~ r1_xxreal_0(60,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r18,axiom,( ~ r1_xxreal_0(60,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r19,axiom,( ~ r1_xxreal_0(60,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r2,axiom,( ~ r1_xxreal_0(60,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r20,axiom,( ~ r1_xxreal_0(60,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r21,axiom,( ~ r1_xxreal_0(60,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r22,axiom,( ~ r1_xxreal_0(60,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r23,axiom,( ~ r1_xxreal_0(60,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r24,axiom,( ~ r1_xxreal_0(60,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r25,axiom,( ~ r1_xxreal_0(60,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r26,axiom,( ~ r1_xxreal_0(60,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r27,axiom,( ~ r1_xxreal_0(60,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r28,axiom,( ~ r1_xxreal_0(60,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r29,axiom,( ~ r1_xxreal_0(60,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r3,axiom,( ~ r1_xxreal_0(60,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r30,axiom,( ~ r1_xxreal_0(60,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r31,axiom,( ~ r1_xxreal_0(60,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r32,axiom,( ~ r1_xxreal_0(60,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r33,axiom,( ~ r1_xxreal_0(60,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r34,axiom,( ~ r1_xxreal_0(60,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r35,axiom,( ~ r1_xxreal_0(60,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r36,axiom,( ~ r1_xxreal_0(60,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r37,axiom,( ~ r1_xxreal_0(60,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r38,axiom,( ~ r1_xxreal_0(60,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r39,axiom,( ~ r1_xxreal_0(60,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r4,axiom,( ~ r1_xxreal_0(60,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r40,axiom,( ~ r1_xxreal_0(60,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r41,axiom,( ~ r1_xxreal_0(60,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r42,axiom,( ~ r1_xxreal_0(60,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r43,axiom,( ~ r1_xxreal_0(60,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r44,axiom,( ~ r1_xxreal_0(60,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r45,axiom,( ~ r1_xxreal_0(60,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r46,axiom,( ~ r1_xxreal_0(60,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r47,axiom,( ~ r1_xxreal_0(60,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r48,axiom,( ~ r1_xxreal_0(60,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r49,axiom,( ~ r1_xxreal_0(60,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r5,axiom,( ~ r1_xxreal_0(60,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r50,axiom,( ~ r1_xxreal_0(60,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r51,axiom,( ~ r1_xxreal_0(60,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r52,axiom,( ~ r1_xxreal_0(60,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r53,axiom,( ~ r1_xxreal_0(60,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r54,axiom,( ~ r1_xxreal_0(60,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r55,axiom,( ~ r1_xxreal_0(60,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r56,axiom,( ~ r1_xxreal_0(60,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r57,axiom,( ~ r1_xxreal_0(60,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r58,axiom,( ~ r1_xxreal_0(60,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r59,axiom,( ~ r1_xxreal_0(60,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r6,axiom,( ~ r1_xxreal_0(60,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r60,axiom,( r1_xxreal_0(60,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r61,axiom,( r1_xxreal_0(60,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r62,axiom,( r1_xxreal_0(60,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r63,axiom,( r1_xxreal_0(60,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r64,axiom,( r1_xxreal_0(60,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r7,axiom,( ~ r1_xxreal_0(60,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r8,axiom,( ~ r1_xxreal_0(60,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_r9,axiom,( ~ r1_xxreal_0(60,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r60_rm1,axiom,( ~ r1_xxreal_0(60,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r0,axiom,( ~ r1_xxreal_0(61,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r1,axiom,( ~ r1_xxreal_0(61,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r10,axiom,( ~ r1_xxreal_0(61,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r11,axiom,( ~ r1_xxreal_0(61,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r12,axiom,( ~ r1_xxreal_0(61,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r13,axiom,( ~ r1_xxreal_0(61,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r14,axiom,( ~ r1_xxreal_0(61,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r15,axiom,( ~ r1_xxreal_0(61,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r16,axiom,( ~ r1_xxreal_0(61,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r17,axiom,( ~ r1_xxreal_0(61,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r18,axiom,( ~ r1_xxreal_0(61,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r19,axiom,( ~ r1_xxreal_0(61,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r2,axiom,( ~ r1_xxreal_0(61,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r20,axiom,( ~ r1_xxreal_0(61,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r21,axiom,( ~ r1_xxreal_0(61,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r22,axiom,( ~ r1_xxreal_0(61,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r23,axiom,( ~ r1_xxreal_0(61,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r24,axiom,( ~ r1_xxreal_0(61,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r25,axiom,( ~ r1_xxreal_0(61,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r26,axiom,( ~ r1_xxreal_0(61,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r27,axiom,( ~ r1_xxreal_0(61,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r28,axiom,( ~ r1_xxreal_0(61,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r29,axiom,( ~ r1_xxreal_0(61,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r3,axiom,( ~ r1_xxreal_0(61,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r30,axiom,( ~ r1_xxreal_0(61,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r31,axiom,( ~ r1_xxreal_0(61,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r32,axiom,( ~ r1_xxreal_0(61,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r33,axiom,( ~ r1_xxreal_0(61,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r34,axiom,( ~ r1_xxreal_0(61,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r35,axiom,( ~ r1_xxreal_0(61,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r36,axiom,( ~ r1_xxreal_0(61,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r37,axiom,( ~ r1_xxreal_0(61,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r38,axiom,( ~ r1_xxreal_0(61,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r39,axiom,( ~ r1_xxreal_0(61,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r4,axiom,( ~ r1_xxreal_0(61,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r40,axiom,( ~ r1_xxreal_0(61,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r41,axiom,( ~ r1_xxreal_0(61,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r42,axiom,( ~ r1_xxreal_0(61,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r43,axiom,( ~ r1_xxreal_0(61,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r44,axiom,( ~ r1_xxreal_0(61,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r45,axiom,( ~ r1_xxreal_0(61,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r46,axiom,( ~ r1_xxreal_0(61,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r47,axiom,( ~ r1_xxreal_0(61,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r48,axiom,( ~ r1_xxreal_0(61,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r49,axiom,( ~ r1_xxreal_0(61,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r5,axiom,( ~ r1_xxreal_0(61,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r50,axiom,( ~ r1_xxreal_0(61,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r51,axiom,( ~ r1_xxreal_0(61,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r52,axiom,( ~ r1_xxreal_0(61,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r53,axiom,( ~ r1_xxreal_0(61,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r54,axiom,( ~ r1_xxreal_0(61,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r55,axiom,( ~ r1_xxreal_0(61,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r56,axiom,( ~ r1_xxreal_0(61,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r57,axiom,( ~ r1_xxreal_0(61,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r58,axiom,( ~ r1_xxreal_0(61,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r59,axiom,( ~ r1_xxreal_0(61,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r6,axiom,( ~ r1_xxreal_0(61,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r60,axiom,( ~ r1_xxreal_0(61,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r61,axiom,( r1_xxreal_0(61,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r62,axiom,( r1_xxreal_0(61,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r63,axiom,( r1_xxreal_0(61,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r64,axiom,( r1_xxreal_0(61,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r7,axiom,( ~ r1_xxreal_0(61,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r8,axiom,( ~ r1_xxreal_0(61,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r61_r9,axiom,( ~ r1_xxreal_0(61,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r621_r0,axiom,( ~ r1_xxreal_0(621,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r621_r10,axiom,( ~ r1_xxreal_0(621,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r621_r23,axiom,( ~ r1_xxreal_0(621,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r621_r27,axiom,( ~ r1_xxreal_0(621,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r624_r0,axiom,( ~ r1_xxreal_0(624,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r624_r13,axiom,( ~ r1_xxreal_0(624,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r624_r48,axiom,( ~ r1_xxreal_0(624,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r624_r7,axiom,( ~ r1_xxreal_0(624,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r627_r0,axiom,( ~ r1_xxreal_0(627,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r627_r11,axiom,( ~ r1_xxreal_0(627,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r627_r19,axiom,( ~ r1_xxreal_0(627,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r627_r33,axiom,( ~ r1_xxreal_0(627,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r627_r4,axiom,( ~ r1_xxreal_0(627,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r627_r57,axiom,( ~ r1_xxreal_0(627,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r629_r0,axiom,( ~ r1_xxreal_0(629,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r629_r17,axiom,( ~ r1_xxreal_0(629,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r629_r2,axiom,( ~ r1_xxreal_0(629,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r629_r37,axiom,( ~ r1_xxreal_0(629,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r0,axiom,( ~ r1_xxreal_0(62,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r1,axiom,( ~ r1_xxreal_0(62,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r10,axiom,( ~ r1_xxreal_0(62,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r11,axiom,( ~ r1_xxreal_0(62,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r12,axiom,( ~ r1_xxreal_0(62,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r13,axiom,( ~ r1_xxreal_0(62,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r14,axiom,( ~ r1_xxreal_0(62,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r15,axiom,( ~ r1_xxreal_0(62,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r16,axiom,( ~ r1_xxreal_0(62,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r17,axiom,( ~ r1_xxreal_0(62,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r18,axiom,( ~ r1_xxreal_0(62,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r19,axiom,( ~ r1_xxreal_0(62,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r2,axiom,( ~ r1_xxreal_0(62,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r20,axiom,( ~ r1_xxreal_0(62,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r21,axiom,( ~ r1_xxreal_0(62,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r22,axiom,( ~ r1_xxreal_0(62,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r23,axiom,( ~ r1_xxreal_0(62,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r24,axiom,( ~ r1_xxreal_0(62,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r25,axiom,( ~ r1_xxreal_0(62,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r26,axiom,( ~ r1_xxreal_0(62,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r27,axiom,( ~ r1_xxreal_0(62,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r28,axiom,( ~ r1_xxreal_0(62,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r29,axiom,( ~ r1_xxreal_0(62,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r3,axiom,( ~ r1_xxreal_0(62,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r30,axiom,( ~ r1_xxreal_0(62,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r31,axiom,( ~ r1_xxreal_0(62,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r32,axiom,( ~ r1_xxreal_0(62,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r33,axiom,( ~ r1_xxreal_0(62,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r34,axiom,( ~ r1_xxreal_0(62,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r35,axiom,( ~ r1_xxreal_0(62,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r36,axiom,( ~ r1_xxreal_0(62,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r37,axiom,( ~ r1_xxreal_0(62,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r38,axiom,( ~ r1_xxreal_0(62,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r39,axiom,( ~ r1_xxreal_0(62,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r4,axiom,( ~ r1_xxreal_0(62,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r40,axiom,( ~ r1_xxreal_0(62,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r41,axiom,( ~ r1_xxreal_0(62,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r42,axiom,( ~ r1_xxreal_0(62,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r43,axiom,( ~ r1_xxreal_0(62,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r44,axiom,( ~ r1_xxreal_0(62,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r45,axiom,( ~ r1_xxreal_0(62,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r46,axiom,( ~ r1_xxreal_0(62,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r47,axiom,( ~ r1_xxreal_0(62,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r48,axiom,( ~ r1_xxreal_0(62,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r49,axiom,( ~ r1_xxreal_0(62,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r5,axiom,( ~ r1_xxreal_0(62,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r50,axiom,( ~ r1_xxreal_0(62,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r51,axiom,( ~ r1_xxreal_0(62,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r52,axiom,( ~ r1_xxreal_0(62,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r53,axiom,( ~ r1_xxreal_0(62,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r54,axiom,( ~ r1_xxreal_0(62,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r55,axiom,( ~ r1_xxreal_0(62,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r56,axiom,( ~ r1_xxreal_0(62,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r57,axiom,( ~ r1_xxreal_0(62,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r58,axiom,( ~ r1_xxreal_0(62,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r59,axiom,( ~ r1_xxreal_0(62,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r6,axiom,( ~ r1_xxreal_0(62,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r60,axiom,( ~ r1_xxreal_0(62,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r61,axiom,( ~ r1_xxreal_0(62,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r62,axiom,( r1_xxreal_0(62,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r63,axiom,( r1_xxreal_0(62,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r64,axiom,( r1_xxreal_0(62,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r7,axiom,( ~ r1_xxreal_0(62,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r8,axiom,( ~ r1_xxreal_0(62,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r62_r9,axiom,( ~ r1_xxreal_0(62,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r0,axiom,( ~ r1_xxreal_0(630,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r1,axiom,( ~ r1_xxreal_0(630,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r126,axiom,( ~ r1_xxreal_0(630,126) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r2,axiom,( ~ r1_xxreal_0(630,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r210,axiom,( ~ r1_xxreal_0(630,210) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r3,axiom,( ~ r1_xxreal_0(630,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r315,axiom,( ~ r1_xxreal_0(630,315) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r5,axiom,( ~ r1_xxreal_0(630,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r7,axiom,( ~ r1_xxreal_0(630,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r630_r90,axiom,( ~ r1_xxreal_0(630,90) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r0,axiom,( ~ r1_xxreal_0(631,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r1,axiom,( ~ r1_xxreal_0(631,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r10,axiom,( ~ r1_xxreal_0(631,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r11,axiom,( ~ r1_xxreal_0(631,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r126,axiom,( ~ r1_xxreal_0(631,126) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r13,axiom,( ~ r1_xxreal_0(631,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r17,axiom,( ~ r1_xxreal_0(631,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r19,axiom,( ~ r1_xxreal_0(631,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r2,axiom,( ~ r1_xxreal_0(631,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r210,axiom,( ~ r1_xxreal_0(631,210) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r23,axiom,( ~ r1_xxreal_0(631,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r27,axiom,( ~ r1_xxreal_0(631,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r3,axiom,( ~ r1_xxreal_0(631,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r315,axiom,( ~ r1_xxreal_0(631,315) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r317,axiom,( ~ r1_xxreal_0(631,317) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r33,axiom,( ~ r1_xxreal_0(631,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r37,axiom,( ~ r1_xxreal_0(631,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r4,axiom,( ~ r1_xxreal_0(631,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r48,axiom,( ~ r1_xxreal_0(631,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r5,axiom,( ~ r1_xxreal_0(631,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r57,axiom,( ~ r1_xxreal_0(631,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r621,axiom,( ~ r1_xxreal_0(631,621) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r624,axiom,( ~ r1_xxreal_0(631,624) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r627,axiom,( ~ r1_xxreal_0(631,627) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r629,axiom,( ~ r1_xxreal_0(631,629) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r630,axiom,( ~ r1_xxreal_0(631,630) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r631,axiom,( r1_xxreal_0(631,631) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r634,axiom,( r1_xxreal_0(631,634) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r7,axiom,( ~ r1_xxreal_0(631,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r631_r90,axiom,( ~ r1_xxreal_0(631,90) )).
fof(rqLessOrEqual__r1_xxreal_0__r634_r2,axiom,( ~ r1_xxreal_0(634,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r634_r317,axiom,( ~ r1_xxreal_0(634,317) )).
fof(rqLessOrEqual__r1_xxreal_0__r634_r631,axiom,( ~ r1_xxreal_0(634,631) )).
fof(rqLessOrEqual__r1_xxreal_0__r634_r634,axiom,( r1_xxreal_0(634,634) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r0,axiom,( ~ r1_xxreal_0(63,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r1,axiom,( ~ r1_xxreal_0(63,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r10,axiom,( ~ r1_xxreal_0(63,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r11,axiom,( ~ r1_xxreal_0(63,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r111,axiom,( r1_xxreal_0(63,111) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r112,axiom,( r1_xxreal_0(63,112) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r12,axiom,( ~ r1_xxreal_0(63,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r13,axiom,( ~ r1_xxreal_0(63,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r14,axiom,( ~ r1_xxreal_0(63,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r15,axiom,( ~ r1_xxreal_0(63,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r16,axiom,( ~ r1_xxreal_0(63,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r17,axiom,( ~ r1_xxreal_0(63,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r18,axiom,( ~ r1_xxreal_0(63,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r19,axiom,( ~ r1_xxreal_0(63,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r2,axiom,( ~ r1_xxreal_0(63,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r20,axiom,( ~ r1_xxreal_0(63,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r21,axiom,( ~ r1_xxreal_0(63,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r22,axiom,( ~ r1_xxreal_0(63,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r23,axiom,( ~ r1_xxreal_0(63,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r24,axiom,( ~ r1_xxreal_0(63,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r25,axiom,( ~ r1_xxreal_0(63,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r26,axiom,( ~ r1_xxreal_0(63,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r27,axiom,( ~ r1_xxreal_0(63,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r28,axiom,( ~ r1_xxreal_0(63,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r29,axiom,( ~ r1_xxreal_0(63,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r3,axiom,( ~ r1_xxreal_0(63,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r30,axiom,( ~ r1_xxreal_0(63,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r31,axiom,( ~ r1_xxreal_0(63,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r32,axiom,( ~ r1_xxreal_0(63,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r33,axiom,( ~ r1_xxreal_0(63,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r34,axiom,( ~ r1_xxreal_0(63,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r35,axiom,( ~ r1_xxreal_0(63,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r36,axiom,( ~ r1_xxreal_0(63,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r37,axiom,( ~ r1_xxreal_0(63,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r38,axiom,( ~ r1_xxreal_0(63,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r39,axiom,( ~ r1_xxreal_0(63,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r4,axiom,( ~ r1_xxreal_0(63,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r40,axiom,( ~ r1_xxreal_0(63,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r41,axiom,( ~ r1_xxreal_0(63,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r42,axiom,( ~ r1_xxreal_0(63,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r43,axiom,( ~ r1_xxreal_0(63,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r44,axiom,( ~ r1_xxreal_0(63,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r45,axiom,( ~ r1_xxreal_0(63,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r46,axiom,( ~ r1_xxreal_0(63,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r47,axiom,( ~ r1_xxreal_0(63,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r48,axiom,( ~ r1_xxreal_0(63,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r49,axiom,( ~ r1_xxreal_0(63,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r5,axiom,( ~ r1_xxreal_0(63,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r50,axiom,( ~ r1_xxreal_0(63,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r51,axiom,( ~ r1_xxreal_0(63,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r52,axiom,( ~ r1_xxreal_0(63,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r53,axiom,( ~ r1_xxreal_0(63,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r54,axiom,( ~ r1_xxreal_0(63,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r55,axiom,( ~ r1_xxreal_0(63,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r56,axiom,( ~ r1_xxreal_0(63,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r57,axiom,( ~ r1_xxreal_0(63,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r58,axiom,( ~ r1_xxreal_0(63,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r59,axiom,( ~ r1_xxreal_0(63,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r6,axiom,( ~ r1_xxreal_0(63,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r60,axiom,( ~ r1_xxreal_0(63,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r61,axiom,( ~ r1_xxreal_0(63,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r62,axiom,( ~ r1_xxreal_0(63,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r63,axiom,( r1_xxreal_0(63,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r64,axiom,( r1_xxreal_0(63,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r7,axiom,( ~ r1_xxreal_0(63,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r8,axiom,( ~ r1_xxreal_0(63,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r84,axiom,( r1_xxreal_0(63,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r63_r9,axiom,( ~ r1_xxreal_0(63,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r641_r1,axiom,( ~ r1_xxreal_0(641,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r641_r2,axiom,( ~ r1_xxreal_0(641,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r641_r32,axiom,( ~ r1_xxreal_0(641,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r641_r5,axiom,( ~ r1_xxreal_0(641,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r641_r641,axiom,( r1_xxreal_0(641,641) )).
fof(rqLessOrEqual__r1_xxreal_0__r641_r7,axiom,( ~ r1_xxreal_0(641,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r0,axiom,( ~ r1_xxreal_0(64,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r1,axiom,( ~ r1_xxreal_0(64,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r10,axiom,( ~ r1_xxreal_0(64,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r11,axiom,( ~ r1_xxreal_0(64,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r111,axiom,( r1_xxreal_0(64,111) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r112,axiom,( r1_xxreal_0(64,112) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r12,axiom,( ~ r1_xxreal_0(64,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r120,axiom,( r1_xxreal_0(64,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r128,axiom,( r1_xxreal_0(64,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r13,axiom,( ~ r1_xxreal_0(64,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r14,axiom,( ~ r1_xxreal_0(64,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r15,axiom,( ~ r1_xxreal_0(64,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r16,axiom,( ~ r1_xxreal_0(64,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r17,axiom,( ~ r1_xxreal_0(64,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r18,axiom,( ~ r1_xxreal_0(64,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r19,axiom,( ~ r1_xxreal_0(64,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r2,axiom,( ~ r1_xxreal_0(64,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r20,axiom,( ~ r1_xxreal_0(64,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r21,axiom,( ~ r1_xxreal_0(64,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r22,axiom,( ~ r1_xxreal_0(64,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r23,axiom,( ~ r1_xxreal_0(64,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r24,axiom,( ~ r1_xxreal_0(64,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r25,axiom,( ~ r1_xxreal_0(64,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r26,axiom,( ~ r1_xxreal_0(64,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r27,axiom,( ~ r1_xxreal_0(64,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r28,axiom,( ~ r1_xxreal_0(64,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r29,axiom,( ~ r1_xxreal_0(64,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r3,axiom,( ~ r1_xxreal_0(64,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r30,axiom,( ~ r1_xxreal_0(64,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r31,axiom,( ~ r1_xxreal_0(64,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r32,axiom,( ~ r1_xxreal_0(64,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r33,axiom,( ~ r1_xxreal_0(64,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r34,axiom,( ~ r1_xxreal_0(64,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r35,axiom,( ~ r1_xxreal_0(64,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r36,axiom,( ~ r1_xxreal_0(64,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r37,axiom,( ~ r1_xxreal_0(64,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r38,axiom,( ~ r1_xxreal_0(64,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r39,axiom,( ~ r1_xxreal_0(64,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r4,axiom,( ~ r1_xxreal_0(64,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r40,axiom,( ~ r1_xxreal_0(64,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r41,axiom,( ~ r1_xxreal_0(64,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r42,axiom,( ~ r1_xxreal_0(64,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r43,axiom,( ~ r1_xxreal_0(64,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r44,axiom,( ~ r1_xxreal_0(64,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r45,axiom,( ~ r1_xxreal_0(64,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r46,axiom,( ~ r1_xxreal_0(64,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r47,axiom,( ~ r1_xxreal_0(64,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r48,axiom,( ~ r1_xxreal_0(64,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r49,axiom,( ~ r1_xxreal_0(64,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r5,axiom,( ~ r1_xxreal_0(64,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r50,axiom,( ~ r1_xxreal_0(64,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r51,axiom,( ~ r1_xxreal_0(64,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r52,axiom,( ~ r1_xxreal_0(64,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r53,axiom,( ~ r1_xxreal_0(64,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r54,axiom,( ~ r1_xxreal_0(64,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r55,axiom,( ~ r1_xxreal_0(64,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r56,axiom,( ~ r1_xxreal_0(64,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r57,axiom,( ~ r1_xxreal_0(64,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r58,axiom,( ~ r1_xxreal_0(64,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r59,axiom,( ~ r1_xxreal_0(64,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r6,axiom,( ~ r1_xxreal_0(64,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r60,axiom,( ~ r1_xxreal_0(64,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r61,axiom,( ~ r1_xxreal_0(64,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r62,axiom,( ~ r1_xxreal_0(64,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r63,axiom,( ~ r1_xxreal_0(64,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r64,axiom,( r1_xxreal_0(64,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r7,axiom,( ~ r1_xxreal_0(64,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r8,axiom,( ~ r1_xxreal_0(64,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r84,axiom,( r1_xxreal_0(64,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r9,axiom,( ~ r1_xxreal_0(64,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_r96,axiom,( r1_xxreal_0(64,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_rm44,axiom,( ~ r1_xxreal_0(64,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r64_rn1d24,axiom,( ~ r1_xxreal_0(64,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r656_r0,axiom,( ~ r1_xxreal_0(656,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r656_r1,axiom,( ~ r1_xxreal_0(656,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r656_r164,axiom,( ~ r1_xxreal_0(656,164) )).
fof(rqLessOrEqual__r1_xxreal_0__r656_r2,axiom,( ~ r1_xxreal_0(656,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r656_r256,axiom,( ~ r1_xxreal_0(656,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r656_r332,axiom,( ~ r1_xxreal_0(656,332) )).
fof(rqLessOrEqual__r1_xxreal_0__r656_r4,axiom,( ~ r1_xxreal_0(656,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r65_r0,axiom,( ~ r1_xxreal_0(65,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r65_r13,axiom,( ~ r1_xxreal_0(65,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r65_r2,axiom,( ~ r1_xxreal_0(65,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r65_r5,axiom,( ~ r1_xxreal_0(65,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r65_r6,axiom,( ~ r1_xxreal_0(65,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r65_r8,axiom,( ~ r1_xxreal_0(65,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r0,axiom,( ~ r1_xxreal_0(66,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r1,axiom,( ~ r1_xxreal_0(66,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r11,axiom,( ~ r1_xxreal_0(66,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r2,axiom,( ~ r1_xxreal_0(66,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r22,axiom,( ~ r1_xxreal_0(66,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r3,axiom,( ~ r1_xxreal_0(66,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r33,axiom,( ~ r1_xxreal_0(66,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r5,axiom,( ~ r1_xxreal_0(66,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r6,axiom,( ~ r1_xxreal_0(66,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r66_r7,axiom,( ~ r1_xxreal_0(66,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r672_r0,axiom,( ~ r1_xxreal_0(672,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r672_r1,axiom,( ~ r1_xxreal_0(672,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r0,axiom,( ~ r1_xxreal_0(673,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r1,axiom,( ~ r1_xxreal_0(673,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r16,axiom,( ~ r1_xxreal_0(673,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r2,axiom,( ~ r1_xxreal_0(673,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r255,axiom,( ~ r1_xxreal_0(673,255) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r256,axiom,( ~ r1_xxreal_0(673,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r4,axiom,( ~ r1_xxreal_0(673,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r673_r97,axiom,( ~ r1_xxreal_0(673,97) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r0,axiom,( ~ r1_xxreal_0(67,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r1,axiom,( ~ r1_xxreal_0(67,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r10,axiom,( ~ r1_xxreal_0(67,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r11,axiom,( ~ r1_xxreal_0(67,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r13,axiom,( ~ r1_xxreal_0(67,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r16,axiom,( ~ r1_xxreal_0(67,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r17,axiom,( ~ r1_xxreal_0(67,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r19,axiom,( ~ r1_xxreal_0(67,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r2,axiom,( ~ r1_xxreal_0(67,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r20,axiom,( ~ r1_xxreal_0(67,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r21,axiom,( ~ r1_xxreal_0(67,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r22,axiom,( ~ r1_xxreal_0(67,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r23,axiom,( ~ r1_xxreal_0(67,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r3,axiom,( ~ r1_xxreal_0(67,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r33,axiom,( ~ r1_xxreal_0(67,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r4,axiom,( ~ r1_xxreal_0(67,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r46,axiom,( ~ r1_xxreal_0(67,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r5,axiom,( ~ r1_xxreal_0(67,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r51,axiom,( ~ r1_xxreal_0(67,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r57,axiom,( ~ r1_xxreal_0(67,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r6,axiom,( ~ r1_xxreal_0(67,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r63,axiom,( ~ r1_xxreal_0(67,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r65,axiom,( ~ r1_xxreal_0(67,65) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r66,axiom,( ~ r1_xxreal_0(67,66) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r7,axiom,( ~ r1_xxreal_0(67,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r67_r9,axiom,( ~ r1_xxreal_0(67,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r688_r0,axiom,( ~ r1_xxreal_0(688,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r0,axiom,( ~ r1_xxreal_0(68,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r11,axiom,( ~ r1_xxreal_0(68,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r15,axiom,( ~ r1_xxreal_0(68,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r17,axiom,( ~ r1_xxreal_0(68,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r3,axiom,( ~ r1_xxreal_0(68,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r4,axiom,( ~ r1_xxreal_0(68,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r5,axiom,( ~ r1_xxreal_0(68,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r68_r52,axiom,( ~ r1_xxreal_0(68,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r691_r0,axiom,( ~ r1_xxreal_0(691,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r691_r1,axiom,( ~ r1_xxreal_0(691,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r693_r0,axiom,( ~ r1_xxreal_0(693,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r0,axiom,( ~ r1_xxreal_0(69,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r1,axiom,( ~ r1_xxreal_0(69,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r10,axiom,( ~ r1_xxreal_0(69,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r14,axiom,( ~ r1_xxreal_0(69,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r2,axiom,( ~ r1_xxreal_0(69,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r20,axiom,( ~ r1_xxreal_0(69,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r23,axiom,( ~ r1_xxreal_0(69,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r3,axiom,( ~ r1_xxreal_0(69,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r4,axiom,( ~ r1_xxreal_0(69,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_r7,axiom,( ~ r1_xxreal_0(69,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r69_rm1,axiom,( ~ r1_xxreal_0(69,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r0,axiom,( ~ r1_xxreal_0(6,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1,axiom,( ~ r1_xxreal_0(6,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r10,axiom,( r1_xxreal_0(6,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r11,axiom,( r1_xxreal_0(6,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r12,axiom,( r1_xxreal_0(6,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r120,axiom,( r1_xxreal_0(6,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r128,axiom,( r1_xxreal_0(6,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r13,axiom,( r1_xxreal_0(6,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r14,axiom,( r1_xxreal_0(6,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r15,axiom,( r1_xxreal_0(6,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r16,axiom,( r1_xxreal_0(6,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r17,axiom,( r1_xxreal_0(6,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r18,axiom,( r1_xxreal_0(6,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r19,axiom,( r1_xxreal_0(6,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2,axiom,( ~ r1_xxreal_0(6,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r20,axiom,( r1_xxreal_0(6,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r21,axiom,( r1_xxreal_0(6,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r22,axiom,( r1_xxreal_0(6,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r23,axiom,( r1_xxreal_0(6,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r24,axiom,( r1_xxreal_0(6,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r25,axiom,( r1_xxreal_0(6,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r26,axiom,( r1_xxreal_0(6,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r27,axiom,( r1_xxreal_0(6,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r28,axiom,( r1_xxreal_0(6,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r29,axiom,( r1_xxreal_0(6,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r3,axiom,( ~ r1_xxreal_0(6,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r30,axiom,( r1_xxreal_0(6,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r31,axiom,( r1_xxreal_0(6,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r32,axiom,( r1_xxreal_0(6,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r33,axiom,( r1_xxreal_0(6,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r34,axiom,( r1_xxreal_0(6,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r35,axiom,( r1_xxreal_0(6,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r36,axiom,( r1_xxreal_0(6,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r37,axiom,( r1_xxreal_0(6,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r38,axiom,( r1_xxreal_0(6,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r39,axiom,( r1_xxreal_0(6,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r4,axiom,( ~ r1_xxreal_0(6,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r40,axiom,( r1_xxreal_0(6,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r400,axiom,( r1_xxreal_0(6,400) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r41,axiom,( r1_xxreal_0(6,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r42,axiom,( r1_xxreal_0(6,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r43,axiom,( r1_xxreal_0(6,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r44,axiom,( r1_xxreal_0(6,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r45,axiom,( r1_xxreal_0(6,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r46,axiom,( r1_xxreal_0(6,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r47,axiom,( r1_xxreal_0(6,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r48,axiom,( r1_xxreal_0(6,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r49,axiom,( r1_xxreal_0(6,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r5,axiom,( ~ r1_xxreal_0(6,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r50,axiom,( r1_xxreal_0(6,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r51,axiom,( r1_xxreal_0(6,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r52,axiom,( r1_xxreal_0(6,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r53,axiom,( r1_xxreal_0(6,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r54,axiom,( r1_xxreal_0(6,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r55,axiom,( r1_xxreal_0(6,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r56,axiom,( r1_xxreal_0(6,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r57,axiom,( r1_xxreal_0(6,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r58,axiom,( r1_xxreal_0(6,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r59,axiom,( r1_xxreal_0(6,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6,axiom,( r1_xxreal_0(6,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r60,axiom,( r1_xxreal_0(6,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r61,axiom,( r1_xxreal_0(6,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r62,axiom,( r1_xxreal_0(6,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r63,axiom,( r1_xxreal_0(6,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r64,axiom,( r1_xxreal_0(6,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r7,axiom,( r1_xxreal_0(6,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r8,axiom,( r1_xxreal_0(6,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r9,axiom,( r1_xxreal_0(6,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_r96,axiom,( r1_xxreal_0(6,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm1,axiom,( ~ r1_xxreal_0(6,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm2,axiom,( ~ r1_xxreal_0(6,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm3,axiom,( ~ r1_xxreal_0(6,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm44,axiom,( ~ r1_xxreal_0(6,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm6,axiom,( ~ r1_xxreal_0(6,k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm7,axiom,( ~ r1_xxreal_0(6,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm8,axiom,( ~ r1_xxreal_0(6,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn14d3,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(14,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d2,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d24,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d256,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d3,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d36,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d4,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d6,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn1d8,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn25d36,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn26d3,axiom,( r1_xxreal_0(6,k7_xcmplx_0(26,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn2d3,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn3d2,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn3d5,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn5d4,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn5d6,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rn9d10,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__r6_rnm1d6,axiom,( ~ r1_xxreal_0(6,k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r0,axiom,( ~ r1_xxreal_0(70,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r1,axiom,( ~ r1_xxreal_0(70,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r10,axiom,( ~ r1_xxreal_0(70,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r14,axiom,( ~ r1_xxreal_0(70,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r2,axiom,( ~ r1_xxreal_0(70,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r23,axiom,( ~ r1_xxreal_0(70,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r3,axiom,( ~ r1_xxreal_0(70,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r35,axiom,( ~ r1_xxreal_0(70,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r5,axiom,( ~ r1_xxreal_0(70,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r69,axiom,( ~ r1_xxreal_0(70,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_r7,axiom,( ~ r1_xxreal_0(70,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r70_rm1,axiom,( ~ r1_xxreal_0(70,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r712_r0,axiom,( ~ r1_xxreal_0(712,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r712_r220,axiom,( ~ r1_xxreal_0(712,220) )).
fof(rqLessOrEqual__r1_xxreal_0__r712_r231,axiom,( ~ r1_xxreal_0(712,231) )).
fof(rqLessOrEqual__r1_xxreal_0__r712_r335,axiom,( ~ r1_xxreal_0(712,335) )).
fof(rqLessOrEqual__r1_xxreal_0__r712_r449,axiom,( ~ r1_xxreal_0(712,449) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r0,axiom,( ~ r1_xxreal_0(71,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r1,axiom,( ~ r1_xxreal_0(71,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r10,axiom,( ~ r1_xxreal_0(71,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r11,axiom,( ~ r1_xxreal_0(71,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r13,axiom,( ~ r1_xxreal_0(71,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r14,axiom,( ~ r1_xxreal_0(71,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r17,axiom,( ~ r1_xxreal_0(71,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r19,axiom,( ~ r1_xxreal_0(71,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r2,axiom,( ~ r1_xxreal_0(71,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r23,axiom,( ~ r1_xxreal_0(71,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r3,axiom,( ~ r1_xxreal_0(71,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r32,axiom,( ~ r1_xxreal_0(71,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r35,axiom,( ~ r1_xxreal_0(71,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r4,axiom,( ~ r1_xxreal_0(71,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r5,axiom,( ~ r1_xxreal_0(71,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r57,axiom,( ~ r1_xxreal_0(71,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r6,axiom,( ~ r1_xxreal_0(71,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r65,axiom,( ~ r1_xxreal_0(71,65) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r66,axiom,( ~ r1_xxreal_0(71,66) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r68,axiom,( ~ r1_xxreal_0(71,68) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r69,axiom,( ~ r1_xxreal_0(71,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r7,axiom,( ~ r1_xxreal_0(71,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r70,axiom,( ~ r1_xxreal_0(71,70) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r8,axiom,( ~ r1_xxreal_0(71,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_r9,axiom,( ~ r1_xxreal_0(71,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r71_rm1,axiom,( ~ r1_xxreal_0(71,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r0,axiom,( ~ r1_xxreal_0(72,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r1,axiom,( ~ r1_xxreal_0(72,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r18,axiom,( ~ r1_xxreal_0(72,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r2,axiom,( ~ r1_xxreal_0(72,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r20,axiom,( ~ r1_xxreal_0(72,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r24,axiom,( ~ r1_xxreal_0(72,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r3,axiom,( ~ r1_xxreal_0(72,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r36,axiom,( ~ r1_xxreal_0(72,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r4,axiom,( ~ r1_xxreal_0(72,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r5,axiom,( ~ r1_xxreal_0(72,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r72,axiom,( r1_xxreal_0(72,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r72_r73,axiom,( r1_xxreal_0(72,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r733_r0,axiom,( ~ r1_xxreal_0(733,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r733_r214,axiom,( ~ r1_xxreal_0(733,214) )).
fof(rqLessOrEqual__r1_xxreal_0__r733_r417,axiom,( ~ r1_xxreal_0(733,417) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r0,axiom,( ~ r1_xxreal_0(73,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r1,axiom,( ~ r1_xxreal_0(73,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r10,axiom,( ~ r1_xxreal_0(73,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r11,axiom,( ~ r1_xxreal_0(73,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r13,axiom,( ~ r1_xxreal_0(73,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r14,axiom,( ~ r1_xxreal_0(73,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r16,axiom,( ~ r1_xxreal_0(73,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r17,axiom,( ~ r1_xxreal_0(73,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r18,axiom,( ~ r1_xxreal_0(73,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r19,axiom,( ~ r1_xxreal_0(73,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r2,axiom,( ~ r1_xxreal_0(73,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r22,axiom,( ~ r1_xxreal_0(73,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r23,axiom,( ~ r1_xxreal_0(73,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r24,axiom,( ~ r1_xxreal_0(73,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r3,axiom,( ~ r1_xxreal_0(73,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r36,axiom,( ~ r1_xxreal_0(73,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r4,axiom,( ~ r1_xxreal_0(73,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r5,axiom,( ~ r1_xxreal_0(73,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r57,axiom,( ~ r1_xxreal_0(73,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r6,axiom,( ~ r1_xxreal_0(73,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r65,axiom,( ~ r1_xxreal_0(73,65) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r66,axiom,( ~ r1_xxreal_0(73,66) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r68,axiom,( ~ r1_xxreal_0(73,68) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r69,axiom,( ~ r1_xxreal_0(73,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r7,axiom,( ~ r1_xxreal_0(73,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r70,axiom,( ~ r1_xxreal_0(73,70) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r72,axiom,( ~ r1_xxreal_0(73,72) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r73,axiom,( r1_xxreal_0(73,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_r8,axiom,( ~ r1_xxreal_0(73,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r73_rm1,axiom,( ~ r1_xxreal_0(73,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r744_r0,axiom,( ~ r1_xxreal_0(744,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r744_r446,axiom,( ~ r1_xxreal_0(744,446) )).
fof(rqLessOrEqual__r1_xxreal_0__r744_r590,axiom,( ~ r1_xxreal_0(744,590) )).
fof(rqLessOrEqual__r1_xxreal_0__r75_r0,axiom,( ~ r1_xxreal_0(75,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r75_r15,axiom,( ~ r1_xxreal_0(75,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r75_r4,axiom,( ~ r1_xxreal_0(75,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r75_r5,axiom,( ~ r1_xxreal_0(75,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r0,axiom,( ~ r1_xxreal_0(765,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r1,axiom,( ~ r1_xxreal_0(765,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r149,axiom,( ~ r1_xxreal_0(765,149) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r256,axiom,( ~ r1_xxreal_0(765,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r271,axiom,( ~ r1_xxreal_0(765,271) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r4,axiom,( ~ r1_xxreal_0(765,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r434,axiom,( ~ r1_xxreal_0(765,434) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r446,axiom,( ~ r1_xxreal_0(765,446) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r590,axiom,( ~ r1_xxreal_0(765,590) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r688,axiom,( ~ r1_xxreal_0(765,688) )).
fof(rqLessOrEqual__r1_xxreal_0__r765_r744,axiom,( ~ r1_xxreal_0(765,744) )).
fof(rqLessOrEqual__r1_xxreal_0__r76_r0,axiom,( ~ r1_xxreal_0(76,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r76_r13,axiom,( ~ r1_xxreal_0(76,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r76_r19,axiom,( ~ r1_xxreal_0(76,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r76_r3,axiom,( ~ r1_xxreal_0(76,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r76_r4,axiom,( ~ r1_xxreal_0(76,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r76_r7,axiom,( ~ r1_xxreal_0(76,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r77_r0,axiom,( ~ r1_xxreal_0(77,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r77_r11,axiom,( ~ r1_xxreal_0(77,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r77_r2,axiom,( ~ r1_xxreal_0(77,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r77_r6,axiom,( ~ r1_xxreal_0(77,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r77_r7,axiom,( ~ r1_xxreal_0(77,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r0,axiom,( ~ r1_xxreal_0(78,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r1,axiom,( ~ r1_xxreal_0(78,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r11,axiom,( ~ r1_xxreal_0(78,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r13,axiom,( ~ r1_xxreal_0(78,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r2,axiom,( ~ r1_xxreal_0(78,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r26,axiom,( ~ r1_xxreal_0(78,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r3,axiom,( ~ r1_xxreal_0(78,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r39,axiom,( ~ r1_xxreal_0(78,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r5,axiom,( ~ r1_xxreal_0(78,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r78_r6,axiom,( ~ r1_xxreal_0(78,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r792_r0,axiom,( ~ r1_xxreal_0(792,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r0,axiom,( ~ r1_xxreal_0(79,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r1,axiom,( ~ r1_xxreal_0(79,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r10,axiom,( ~ r1_xxreal_0(79,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r11,axiom,( ~ r1_xxreal_0(79,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r13,axiom,( ~ r1_xxreal_0(79,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r15,axiom,( ~ r1_xxreal_0(79,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r17,axiom,( ~ r1_xxreal_0(79,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r19,axiom,( ~ r1_xxreal_0(79,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r2,axiom,( ~ r1_xxreal_0(79,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r23,axiom,( ~ r1_xxreal_0(79,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r26,axiom,( ~ r1_xxreal_0(79,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r3,axiom,( ~ r1_xxreal_0(79,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r39,axiom,( ~ r1_xxreal_0(79,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r4,axiom,( ~ r1_xxreal_0(79,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r5,axiom,( ~ r1_xxreal_0(79,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r6,axiom,( ~ r1_xxreal_0(79,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r68,axiom,( ~ r1_xxreal_0(79,68) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r69,axiom,( ~ r1_xxreal_0(79,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r7,axiom,( ~ r1_xxreal_0(79,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r75,axiom,( ~ r1_xxreal_0(79,75) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r76,axiom,( ~ r1_xxreal_0(79,76) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r77,axiom,( ~ r1_xxreal_0(79,77) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r78,axiom,( ~ r1_xxreal_0(79,78) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_r8,axiom,( ~ r1_xxreal_0(79,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r79_rm1,axiom,( ~ r1_xxreal_0(79,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r0,axiom,( ~ r1_xxreal_0(7,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1,axiom,( ~ r1_xxreal_0(7,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r10,axiom,( r1_xxreal_0(7,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r11,axiom,( r1_xxreal_0(7,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r12,axiom,( r1_xxreal_0(7,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r120,axiom,( r1_xxreal_0(7,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r121,axiom,( r1_xxreal_0(7,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r128,axiom,( r1_xxreal_0(7,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r13,axiom,( r1_xxreal_0(7,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r14,axiom,( r1_xxreal_0(7,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r15,axiom,( r1_xxreal_0(7,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r16,axiom,( r1_xxreal_0(7,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r17,axiom,( r1_xxreal_0(7,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r18,axiom,( r1_xxreal_0(7,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r19,axiom,( r1_xxreal_0(7,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2,axiom,( ~ r1_xxreal_0(7,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r20,axiom,( r1_xxreal_0(7,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r21,axiom,( r1_xxreal_0(7,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r22,axiom,( r1_xxreal_0(7,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r23,axiom,( r1_xxreal_0(7,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r24,axiom,( r1_xxreal_0(7,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r25,axiom,( r1_xxreal_0(7,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r26,axiom,( r1_xxreal_0(7,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r27,axiom,( r1_xxreal_0(7,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r28,axiom,( r1_xxreal_0(7,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r29,axiom,( r1_xxreal_0(7,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3,axiom,( ~ r1_xxreal_0(7,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r30,axiom,( r1_xxreal_0(7,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r31,axiom,( r1_xxreal_0(7,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r32,axiom,( r1_xxreal_0(7,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r33,axiom,( r1_xxreal_0(7,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r34,axiom,( r1_xxreal_0(7,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r35,axiom,( r1_xxreal_0(7,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r36,axiom,( r1_xxreal_0(7,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r37,axiom,( r1_xxreal_0(7,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r38,axiom,( r1_xxreal_0(7,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r39,axiom,( r1_xxreal_0(7,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r4,axiom,( ~ r1_xxreal_0(7,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r40,axiom,( r1_xxreal_0(7,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r41,axiom,( r1_xxreal_0(7,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r42,axiom,( r1_xxreal_0(7,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r43,axiom,( r1_xxreal_0(7,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r44,axiom,( r1_xxreal_0(7,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r45,axiom,( r1_xxreal_0(7,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r46,axiom,( r1_xxreal_0(7,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r47,axiom,( r1_xxreal_0(7,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r48,axiom,( r1_xxreal_0(7,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r49,axiom,( r1_xxreal_0(7,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5,axiom,( ~ r1_xxreal_0(7,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r50,axiom,( r1_xxreal_0(7,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r51,axiom,( r1_xxreal_0(7,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r52,axiom,( r1_xxreal_0(7,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r53,axiom,( r1_xxreal_0(7,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r54,axiom,( r1_xxreal_0(7,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r55,axiom,( r1_xxreal_0(7,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r56,axiom,( r1_xxreal_0(7,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r57,axiom,( r1_xxreal_0(7,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r58,axiom,( r1_xxreal_0(7,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r59,axiom,( r1_xxreal_0(7,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r6,axiom,( ~ r1_xxreal_0(7,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r60,axiom,( r1_xxreal_0(7,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r61,axiom,( r1_xxreal_0(7,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r62,axiom,( r1_xxreal_0(7,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r63,axiom,( r1_xxreal_0(7,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r64,axiom,( r1_xxreal_0(7,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r641,axiom,( r1_xxreal_0(7,641) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7,axiom,( r1_xxreal_0(7,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r8,axiom,( r1_xxreal_0(7,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r84,axiom,( r1_xxreal_0(7,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r9,axiom,( r1_xxreal_0(7,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_r96,axiom,( r1_xxreal_0(7,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm1,axiom,( ~ r1_xxreal_0(7,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm2,axiom,( ~ r1_xxreal_0(7,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rm7,axiom,( ~ r1_xxreal_0(7,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn14d3,axiom,( ~ r1_xxreal_0(7,k7_xcmplx_0(14,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn1d6,axiom,( ~ r1_xxreal_0(7,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn1d8,axiom,( ~ r1_xxreal_0(7,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn7d2,axiom,( ~ r1_xxreal_0(7,k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r7_rn7d3,axiom,( ~ r1_xxreal_0(7,k7_xcmplx_0(7,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r800_r0,axiom,( ~ r1_xxreal_0(800,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r800_r1,axiom,( ~ r1_xxreal_0(800,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r800_r2,axiom,( ~ r1_xxreal_0(800,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r800_r5,axiom,( ~ r1_xxreal_0(800,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r800_r800,axiom,( r1_xxreal_0(800,800) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r0,axiom,( ~ r1_xxreal_0(809,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r1,axiom,( ~ r1_xxreal_0(809,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r2,axiom,( ~ r1_xxreal_0(809,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r241,axiom,( ~ r1_xxreal_0(809,241) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r255,axiom,( ~ r1_xxreal_0(809,255) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r256,axiom,( ~ r1_xxreal_0(809,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r257,axiom,( ~ r1_xxreal_0(809,257) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r32,axiom,( ~ r1_xxreal_0(809,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r4,axiom,( ~ r1_xxreal_0(809,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r64,axiom,( ~ r1_xxreal_0(809,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r809_r81,axiom,( ~ r1_xxreal_0(809,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r0,axiom,( ~ r1_xxreal_0(80,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r1,axiom,( ~ r1_xxreal_0(80,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r10,axiom,( ~ r1_xxreal_0(80,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r16,axiom,( ~ r1_xxreal_0(80,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r2,axiom,( ~ r1_xxreal_0(80,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r3,axiom,( ~ r1_xxreal_0(80,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r5,axiom,( ~ r1_xxreal_0(80,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r79,axiom,( ~ r1_xxreal_0(80,79) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_r8,axiom,( ~ r1_xxreal_0(80,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r80_rm1,axiom,( ~ r1_xxreal_0(80,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r0,axiom,( ~ r1_xxreal_0(81,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r1,axiom,( ~ r1_xxreal_0(81,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r16,axiom,( ~ r1_xxreal_0(81,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r18,axiom,( ~ r1_xxreal_0(81,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r2,axiom,( ~ r1_xxreal_0(81,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r25,axiom,( ~ r1_xxreal_0(81,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r27,axiom,( ~ r1_xxreal_0(81,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r3,axiom,( ~ r1_xxreal_0(81,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r32,axiom,( ~ r1_xxreal_0(81,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r4,axiom,( ~ r1_xxreal_0(81,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r42,axiom,( ~ r1_xxreal_0(81,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r5,axiom,( ~ r1_xxreal_0(81,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r64,axiom,( ~ r1_xxreal_0(81,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r81,axiom,( r1_xxreal_0(81,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r84,axiom,( r1_xxreal_0(81,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_r9,axiom,( ~ r1_xxreal_0(81,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_rm16,axiom,( ~ r1_xxreal_0(81,k4_xcmplx_0(16)) )).
fof(rqLessOrEqual__r1_xxreal_0__r81_rn81d5,axiom,( ~ r1_xxreal_0(81,k7_xcmplx_0(81,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__r82_r0,axiom,( ~ r1_xxreal_0(82,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r82_r1,axiom,( ~ r1_xxreal_0(82,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r82_r2,axiom,( ~ r1_xxreal_0(82,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r82_r41,axiom,( ~ r1_xxreal_0(82,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r830_r0,axiom,( ~ r1_xxreal_0(830,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r0,axiom,( ~ r1_xxreal_0(83,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r1,axiom,( ~ r1_xxreal_0(83,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r10,axiom,( ~ r1_xxreal_0(83,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r11,axiom,( ~ r1_xxreal_0(83,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r13,axiom,( ~ r1_xxreal_0(83,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r14,axiom,( ~ r1_xxreal_0(83,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r15,axiom,( ~ r1_xxreal_0(83,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r16,axiom,( ~ r1_xxreal_0(83,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r163,axiom,( r1_xxreal_0(83,163) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r166,axiom,( r1_xxreal_0(83,166) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r17,axiom,( ~ r1_xxreal_0(83,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r19,axiom,( ~ r1_xxreal_0(83,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r2,axiom,( ~ r1_xxreal_0(83,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r23,axiom,( ~ r1_xxreal_0(83,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r25,axiom,( ~ r1_xxreal_0(83,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r27,axiom,( ~ r1_xxreal_0(83,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r3,axiom,( ~ r1_xxreal_0(83,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r4,axiom,( ~ r1_xxreal_0(83,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r41,axiom,( ~ r1_xxreal_0(83,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r43,axiom,( ~ r1_xxreal_0(83,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r5,axiom,( ~ r1_xxreal_0(83,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r6,axiom,( ~ r1_xxreal_0(83,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r64,axiom,( ~ r1_xxreal_0(83,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r68,axiom,( ~ r1_xxreal_0(83,68) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r69,axiom,( ~ r1_xxreal_0(83,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r7,axiom,( ~ r1_xxreal_0(83,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r71,axiom,( ~ r1_xxreal_0(83,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r76,axiom,( ~ r1_xxreal_0(83,76) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r77,axiom,( ~ r1_xxreal_0(83,77) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r78,axiom,( ~ r1_xxreal_0(83,78) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r80,axiom,( ~ r1_xxreal_0(83,80) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r81,axiom,( ~ r1_xxreal_0(83,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r82,axiom,( ~ r1_xxreal_0(83,82) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r83,axiom,( r1_xxreal_0(83,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_r86,axiom,( r1_xxreal_0(83,86) )).
fof(rqLessOrEqual__r1_xxreal_0__r83_rm1,axiom,( ~ r1_xxreal_0(83,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r0,axiom,( ~ r1_xxreal_0(841,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r1,axiom,( ~ r1_xxreal_0(841,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r101,axiom,( ~ r1_xxreal_0(841,101) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r11,axiom,( ~ r1_xxreal_0(841,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r13,axiom,( ~ r1_xxreal_0(841,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r139,axiom,( ~ r1_xxreal_0(841,139) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r163,axiom,( ~ r1_xxreal_0(841,163) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r17,axiom,( ~ r1_xxreal_0(841,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r19,axiom,( ~ r1_xxreal_0(841,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r2,axiom,( ~ r1_xxreal_0(841,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r23,axiom,( ~ r1_xxreal_0(841,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r29,axiom,( ~ r1_xxreal_0(841,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r3,axiom,( ~ r1_xxreal_0(841,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r31,axiom,( ~ r1_xxreal_0(841,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r317,axiom,( ~ r1_xxreal_0(841,317) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r37,axiom,( ~ r1_xxreal_0(841,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r41,axiom,( ~ r1_xxreal_0(841,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r43,axiom,( ~ r1_xxreal_0(841,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r47,axiom,( ~ r1_xxreal_0(841,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r5,axiom,( ~ r1_xxreal_0(841,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r53,axiom,( ~ r1_xxreal_0(841,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r59,axiom,( ~ r1_xxreal_0(841,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r61,axiom,( ~ r1_xxreal_0(841,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r631,axiom,( ~ r1_xxreal_0(841,631) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r67,axiom,( ~ r1_xxreal_0(841,67) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r7,axiom,( ~ r1_xxreal_0(841,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r71,axiom,( ~ r1_xxreal_0(841,71) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r73,axiom,( ~ r1_xxreal_0(841,73) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r79,axiom,( ~ r1_xxreal_0(841,79) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r83,axiom,( ~ r1_xxreal_0(841,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r841,axiom,( r1_xxreal_0(841,841) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r89,axiom,( ~ r1_xxreal_0(841,89) )).
fof(rqLessOrEqual__r1_xxreal_0__r841_r97,axiom,( ~ r1_xxreal_0(841,97) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r0,axiom,( ~ r1_xxreal_0(847,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r2,axiom,( ~ r1_xxreal_0(847,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r256,axiom,( ~ r1_xxreal_0(847,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r3,axiom,( ~ r1_xxreal_0(847,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r4,axiom,( ~ r1_xxreal_0(847,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r569,axiom,( ~ r1_xxreal_0(847,569) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r68,axiom,( ~ r1_xxreal_0(847,68) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r688,axiom,( ~ r1_xxreal_0(847,688) )).
fof(rqLessOrEqual__r1_xxreal_0__r847_r765,axiom,( ~ r1_xxreal_0(847,765) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r0,axiom,( ~ r1_xxreal_0(84,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r12,axiom,( ~ r1_xxreal_0(84,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r2,axiom,( ~ r1_xxreal_0(84,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r42,axiom,( ~ r1_xxreal_0(84,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r5,axiom,( ~ r1_xxreal_0(84,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r7,axiom,( ~ r1_xxreal_0(84,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r81,axiom,( ~ r1_xxreal_0(84,81) )).
fof(rqLessOrEqual__r1_xxreal_0__r84_r84,axiom,( r1_xxreal_0(84,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r855_r0,axiom,( ~ r1_xxreal_0(855,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r85_r0,axiom,( ~ r1_xxreal_0(85,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r85_r12,axiom,( ~ r1_xxreal_0(85,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r85_r16,axiom,( ~ r1_xxreal_0(85,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r85_r17,axiom,( ~ r1_xxreal_0(85,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r85_r4,axiom,( ~ r1_xxreal_0(85,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r85_r5,axiom,( ~ r1_xxreal_0(85,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r869_r0,axiom,( ~ r1_xxreal_0(869,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r869_r1,axiom,( ~ r1_xxreal_0(869,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r869_r390,axiom,( ~ r1_xxreal_0(869,390) )).
fof(rqLessOrEqual__r1_xxreal_0__r86_r2,axiom,( ~ r1_xxreal_0(86,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r86_r43,axiom,( ~ r1_xxreal_0(86,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r86_r83,axiom,( ~ r1_xxreal_0(86,83) )).
fof(rqLessOrEqual__r1_xxreal_0__r86_r86,axiom,( r1_xxreal_0(86,86) )).
fof(rqLessOrEqual__r1_xxreal_0__r870_r0,axiom,( ~ r1_xxreal_0(870,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r870_r1,axiom,( ~ r1_xxreal_0(870,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r870_r2,axiom,( ~ r1_xxreal_0(870,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r870_r390,axiom,( ~ r1_xxreal_0(870,390) )).
fof(rqLessOrEqual__r1_xxreal_0__r870_r4,axiom,( ~ r1_xxreal_0(870,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r870_r847,axiom,( ~ r1_xxreal_0(870,847) )).
fof(rqLessOrEqual__r1_xxreal_0__r870_r869,axiom,( ~ r1_xxreal_0(870,869) )).
fof(rqLessOrEqual__r1_xxreal_0__r873_r0,axiom,( ~ r1_xxreal_0(873,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r873_r434,axiom,( ~ r1_xxreal_0(873,434) )).
fof(rqLessOrEqual__r1_xxreal_0__r873_r605,axiom,( ~ r1_xxreal_0(873,605) )).
fof(rqLessOrEqual__r1_xxreal_0__r873_r792,axiom,( ~ r1_xxreal_0(873,792) )).
fof(rqLessOrEqual__r1_xxreal_0__r87_r0,axiom,( ~ r1_xxreal_0(87,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r87_r2,axiom,( ~ r1_xxreal_0(87,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r87_r29,axiom,( ~ r1_xxreal_0(87,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r87_r3,axiom,( ~ r1_xxreal_0(87,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r88_r0,axiom,( ~ r1_xxreal_0(88,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r88_r1,axiom,( ~ r1_xxreal_0(88,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r88_r11,axiom,( ~ r1_xxreal_0(88,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r88_r2,axiom,( ~ r1_xxreal_0(88,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r88_r44,axiom,( ~ r1_xxreal_0(88,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r88_r8,axiom,( ~ r1_xxreal_0(88,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r88_r9,axiom,( ~ r1_xxreal_0(88,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r0,axiom,( ~ r1_xxreal_0(89,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r1,axiom,( ~ r1_xxreal_0(89,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r10,axiom,( ~ r1_xxreal_0(89,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r11,axiom,( ~ r1_xxreal_0(89,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r12,axiom,( ~ r1_xxreal_0(89,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r13,axiom,( ~ r1_xxreal_0(89,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r17,axiom,( ~ r1_xxreal_0(89,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r19,axiom,( ~ r1_xxreal_0(89,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r2,axiom,( ~ r1_xxreal_0(89,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r20,axiom,( ~ r1_xxreal_0(89,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r23,axiom,( ~ r1_xxreal_0(89,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r29,axiom,( ~ r1_xxreal_0(89,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r3,axiom,( ~ r1_xxreal_0(89,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r4,axiom,( ~ r1_xxreal_0(89,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r44,axiom,( ~ r1_xxreal_0(89,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r5,axiom,( ~ r1_xxreal_0(89,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r6,axiom,( ~ r1_xxreal_0(89,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r69,axiom,( ~ r1_xxreal_0(89,69) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r7,axiom,( ~ r1_xxreal_0(89,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r76,axiom,( ~ r1_xxreal_0(89,76) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r78,axiom,( ~ r1_xxreal_0(89,78) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r8,axiom,( ~ r1_xxreal_0(89,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r84,axiom,( ~ r1_xxreal_0(89,84) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r85,axiom,( ~ r1_xxreal_0(89,85) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r87,axiom,( ~ r1_xxreal_0(89,87) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r88,axiom,( ~ r1_xxreal_0(89,88) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_r9,axiom,( ~ r1_xxreal_0(89,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r89_rm1,axiom,( ~ r1_xxreal_0(89,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r0,axiom,( ~ r1_xxreal_0(8,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r1,axiom,( ~ r1_xxreal_0(8,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r10,axiom,( r1_xxreal_0(8,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r11,axiom,( r1_xxreal_0(8,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r12,axiom,( r1_xxreal_0(8,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r120,axiom,( r1_xxreal_0(8,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r121,axiom,( r1_xxreal_0(8,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r128,axiom,( r1_xxreal_0(8,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r13,axiom,( r1_xxreal_0(8,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r14,axiom,( r1_xxreal_0(8,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r15,axiom,( r1_xxreal_0(8,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r16,axiom,( r1_xxreal_0(8,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r17,axiom,( r1_xxreal_0(8,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r18,axiom,( r1_xxreal_0(8,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r19,axiom,( r1_xxreal_0(8,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r2,axiom,( ~ r1_xxreal_0(8,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r20,axiom,( r1_xxreal_0(8,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r21,axiom,( r1_xxreal_0(8,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r22,axiom,( r1_xxreal_0(8,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r23,axiom,( r1_xxreal_0(8,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r24,axiom,( r1_xxreal_0(8,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r25,axiom,( r1_xxreal_0(8,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r256,axiom,( r1_xxreal_0(8,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r26,axiom,( r1_xxreal_0(8,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r27,axiom,( r1_xxreal_0(8,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r28,axiom,( r1_xxreal_0(8,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r29,axiom,( r1_xxreal_0(8,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r3,axiom,( ~ r1_xxreal_0(8,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r30,axiom,( r1_xxreal_0(8,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r31,axiom,( r1_xxreal_0(8,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r32,axiom,( r1_xxreal_0(8,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r33,axiom,( r1_xxreal_0(8,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r34,axiom,( r1_xxreal_0(8,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r35,axiom,( r1_xxreal_0(8,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r36,axiom,( r1_xxreal_0(8,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r37,axiom,( r1_xxreal_0(8,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r38,axiom,( r1_xxreal_0(8,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r39,axiom,( r1_xxreal_0(8,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r4,axiom,( ~ r1_xxreal_0(8,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r40,axiom,( r1_xxreal_0(8,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r41,axiom,( r1_xxreal_0(8,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r42,axiom,( r1_xxreal_0(8,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r43,axiom,( r1_xxreal_0(8,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r44,axiom,( r1_xxreal_0(8,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r45,axiom,( r1_xxreal_0(8,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r46,axiom,( r1_xxreal_0(8,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r47,axiom,( r1_xxreal_0(8,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r48,axiom,( r1_xxreal_0(8,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r49,axiom,( r1_xxreal_0(8,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r5,axiom,( ~ r1_xxreal_0(8,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r50,axiom,( r1_xxreal_0(8,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r51,axiom,( r1_xxreal_0(8,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r52,axiom,( r1_xxreal_0(8,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r53,axiom,( r1_xxreal_0(8,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r54,axiom,( r1_xxreal_0(8,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r55,axiom,( r1_xxreal_0(8,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r56,axiom,( r1_xxreal_0(8,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r57,axiom,( r1_xxreal_0(8,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r58,axiom,( r1_xxreal_0(8,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r59,axiom,( r1_xxreal_0(8,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r6,axiom,( ~ r1_xxreal_0(8,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r60,axiom,( r1_xxreal_0(8,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r61,axiom,( r1_xxreal_0(8,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r62,axiom,( r1_xxreal_0(8,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r63,axiom,( r1_xxreal_0(8,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r64,axiom,( r1_xxreal_0(8,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r7,axiom,( ~ r1_xxreal_0(8,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8,axiom,( r1_xxreal_0(8,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r9,axiom,( r1_xxreal_0(8,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_r96,axiom,( r1_xxreal_0(8,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm1,axiom,( ~ r1_xxreal_0(8,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm2,axiom,( ~ r1_xxreal_0(8,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm3,axiom,( ~ r1_xxreal_0(8,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm4,axiom,( ~ r1_xxreal_0(8,k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm44,axiom,( ~ r1_xxreal_0(8,k4_xcmplx_0(44)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm6,axiom,( ~ r1_xxreal_0(8,k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm8,axiom,( ~ r1_xxreal_0(8,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn15d2,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(15,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn17d4,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn1d2,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn1d24,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(1,24)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn1d4,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn1d6,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn1d8,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn20d9,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(20,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn3d4,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn7d2,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rn9d4,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r8_rnm1d6,axiom,( ~ r1_xxreal_0(8,k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_r0,axiom,( ~ r1_xxreal_0(90,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_r1,axiom,( ~ r1_xxreal_0(90,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_r10,axiom,( ~ r1_xxreal_0(90,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_r2,axiom,( ~ r1_xxreal_0(90,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_r7,axiom,( ~ r1_xxreal_0(90,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_r89,axiom,( ~ r1_xxreal_0(90,89) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_r9,axiom,( ~ r1_xxreal_0(90,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r90_rm1,axiom,( ~ r1_xxreal_0(90,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r91_r0,axiom,( ~ r1_xxreal_0(91,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r91_r10,axiom,( ~ r1_xxreal_0(91,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r91_r13,axiom,( ~ r1_xxreal_0(91,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r91_r6,axiom,( ~ r1_xxreal_0(91,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r91_r7,axiom,( ~ r1_xxreal_0(91,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r92_r0,axiom,( ~ r1_xxreal_0(92,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r92_r23,axiom,( ~ r1_xxreal_0(92,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r92_r4,axiom,( ~ r1_xxreal_0(92,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r92_r5,axiom,( ~ r1_xxreal_0(92,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r92_r9,axiom,( ~ r1_xxreal_0(92,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r936_r0,axiom,( ~ r1_xxreal_0(936,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r936_r744,axiom,( ~ r1_xxreal_0(936,744) )).
fof(rqLessOrEqual__r1_xxreal_0__r936_r765,axiom,( ~ r1_xxreal_0(936,765) )).
fof(rqLessOrEqual__r1_xxreal_0__r95_r0,axiom,( ~ r1_xxreal_0(95,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r95_r19,axiom,( ~ r1_xxreal_0(95,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r95_r2,axiom,( ~ r1_xxreal_0(95,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r95_r5,axiom,( ~ r1_xxreal_0(95,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r95_r6,axiom,( ~ r1_xxreal_0(95,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r964_r0,axiom,( ~ r1_xxreal_0(964,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r0,axiom,( ~ r1_xxreal_0(96,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r1,axiom,( ~ r1_xxreal_0(96,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r120,axiom,( r1_xxreal_0(96,120) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r121,axiom,( r1_xxreal_0(96,121) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r128,axiom,( r1_xxreal_0(96,128) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r2,axiom,( ~ r1_xxreal_0(96,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r3,axiom,( ~ r1_xxreal_0(96,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r32,axiom,( ~ r1_xxreal_0(96,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r4,axiom,( ~ r1_xxreal_0(96,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r48,axiom,( ~ r1_xxreal_0(96,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r8,axiom,( ~ r1_xxreal_0(96,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r96_r96,axiom,( r1_xxreal_0(96,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r0,axiom,( ~ r1_xxreal_0(97,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r1,axiom,( ~ r1_xxreal_0(97,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r10,axiom,( ~ r1_xxreal_0(97,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r11,axiom,( ~ r1_xxreal_0(97,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r12,axiom,( ~ r1_xxreal_0(97,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r13,axiom,( ~ r1_xxreal_0(97,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r16,axiom,( ~ r1_xxreal_0(97,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r17,axiom,( ~ r1_xxreal_0(97,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r19,axiom,( ~ r1_xxreal_0(97,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r2,axiom,( ~ r1_xxreal_0(97,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r23,axiom,( ~ r1_xxreal_0(97,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r29,axiom,( ~ r1_xxreal_0(97,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r3,axiom,( ~ r1_xxreal_0(97,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r32,axiom,( ~ r1_xxreal_0(97,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r4,axiom,( ~ r1_xxreal_0(97,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r48,axiom,( ~ r1_xxreal_0(97,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r5,axiom,( ~ r1_xxreal_0(97,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r6,axiom,( ~ r1_xxreal_0(97,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r7,axiom,( ~ r1_xxreal_0(97,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r8,axiom,( ~ r1_xxreal_0(97,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r85,axiom,( ~ r1_xxreal_0(97,85) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r88,axiom,( ~ r1_xxreal_0(97,88) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r9,axiom,( ~ r1_xxreal_0(97,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r91,axiom,( ~ r1_xxreal_0(97,91) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r92,axiom,( ~ r1_xxreal_0(97,92) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r95,axiom,( ~ r1_xxreal_0(97,95) )).
fof(rqLessOrEqual__r1_xxreal_0__r97_r96,axiom,( ~ r1_xxreal_0(97,96) )).
fof(rqLessOrEqual__r1_xxreal_0__r988_r0,axiom,( ~ r1_xxreal_0(988,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r988_r964,axiom,( ~ r1_xxreal_0(988,964) )).
fof(rqLessOrEqual__r1_xxreal_0__r98_r0,axiom,( ~ r1_xxreal_0(98,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r98_r14,axiom,( ~ r1_xxreal_0(98,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r98_r3,axiom,( ~ r1_xxreal_0(98,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r98_r7,axiom,( ~ r1_xxreal_0(98,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r0,axiom,( ~ r1_xxreal_0(999,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r256,axiom,( ~ r1_xxreal_0(999,256) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r4,axiom,( ~ r1_xxreal_0(999,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r446,axiom,( ~ r1_xxreal_0(999,446) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r590,axiom,( ~ r1_xxreal_0(999,590) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r688,axiom,( ~ r1_xxreal_0(999,688) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r744,axiom,( ~ r1_xxreal_0(999,744) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r765,axiom,( ~ r1_xxreal_0(999,765) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r792,axiom,( ~ r1_xxreal_0(999,792) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r847,axiom,( ~ r1_xxreal_0(999,847) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r855,axiom,( ~ r1_xxreal_0(999,855) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r873,axiom,( ~ r1_xxreal_0(999,873) )).
fof(rqLessOrEqual__r1_xxreal_0__r999_r936,axiom,( ~ r1_xxreal_0(999,936) )).
fof(rqLessOrEqual__r1_xxreal_0__r99_r0,axiom,( ~ r1_xxreal_0(99,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r99_r11,axiom,( ~ r1_xxreal_0(99,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r99_r2,axiom,( ~ r1_xxreal_0(99,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r99_r3,axiom,( ~ r1_xxreal_0(99,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r99_r33,axiom,( ~ r1_xxreal_0(99,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r99_r9,axiom,( ~ r1_xxreal_0(99,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r0,axiom,( ~ r1_xxreal_0(9,0) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r1,axiom,( ~ r1_xxreal_0(9,1) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r10,axiom,( r1_xxreal_0(9,10) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r11,axiom,( r1_xxreal_0(9,11) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r12,axiom,( r1_xxreal_0(9,12) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r13,axiom,( r1_xxreal_0(9,13) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r14,axiom,( r1_xxreal_0(9,14) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r15,axiom,( r1_xxreal_0(9,15) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r16,axiom,( r1_xxreal_0(9,16) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r17,axiom,( r1_xxreal_0(9,17) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r18,axiom,( r1_xxreal_0(9,18) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r19,axiom,( r1_xxreal_0(9,19) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2,axiom,( ~ r1_xxreal_0(9,2) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r20,axiom,( r1_xxreal_0(9,20) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r21,axiom,( r1_xxreal_0(9,21) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r22,axiom,( r1_xxreal_0(9,22) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r23,axiom,( r1_xxreal_0(9,23) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r24,axiom,( r1_xxreal_0(9,24) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r25,axiom,( r1_xxreal_0(9,25) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r26,axiom,( r1_xxreal_0(9,26) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r27,axiom,( r1_xxreal_0(9,27) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r28,axiom,( r1_xxreal_0(9,28) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r29,axiom,( r1_xxreal_0(9,29) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r3,axiom,( ~ r1_xxreal_0(9,3) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r30,axiom,( r1_xxreal_0(9,30) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r31,axiom,( r1_xxreal_0(9,31) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r32,axiom,( r1_xxreal_0(9,32) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r33,axiom,( r1_xxreal_0(9,33) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r34,axiom,( r1_xxreal_0(9,34) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r35,axiom,( r1_xxreal_0(9,35) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r36,axiom,( r1_xxreal_0(9,36) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r37,axiom,( r1_xxreal_0(9,37) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r38,axiom,( r1_xxreal_0(9,38) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r39,axiom,( r1_xxreal_0(9,39) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r4,axiom,( ~ r1_xxreal_0(9,4) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r40,axiom,( r1_xxreal_0(9,40) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r41,axiom,( r1_xxreal_0(9,41) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r42,axiom,( r1_xxreal_0(9,42) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r43,axiom,( r1_xxreal_0(9,43) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r44,axiom,( r1_xxreal_0(9,44) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r45,axiom,( r1_xxreal_0(9,45) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r46,axiom,( r1_xxreal_0(9,46) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r47,axiom,( r1_xxreal_0(9,47) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r48,axiom,( r1_xxreal_0(9,48) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r49,axiom,( r1_xxreal_0(9,49) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r5,axiom,( ~ r1_xxreal_0(9,5) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r50,axiom,( r1_xxreal_0(9,50) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r51,axiom,( r1_xxreal_0(9,51) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r52,axiom,( r1_xxreal_0(9,52) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r53,axiom,( r1_xxreal_0(9,53) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r54,axiom,( r1_xxreal_0(9,54) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r55,axiom,( r1_xxreal_0(9,55) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r56,axiom,( r1_xxreal_0(9,56) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r57,axiom,( r1_xxreal_0(9,57) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r58,axiom,( r1_xxreal_0(9,58) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r59,axiom,( r1_xxreal_0(9,59) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r6,axiom,( ~ r1_xxreal_0(9,6) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r60,axiom,( r1_xxreal_0(9,60) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r61,axiom,( r1_xxreal_0(9,61) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r62,axiom,( r1_xxreal_0(9,62) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r63,axiom,( r1_xxreal_0(9,63) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r64,axiom,( r1_xxreal_0(9,64) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r7,axiom,( ~ r1_xxreal_0(9,7) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r8,axiom,( ~ r1_xxreal_0(9,8) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9,axiom,( r1_xxreal_0(9,9) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm1,axiom,( ~ r1_xxreal_0(9,k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm2,axiom,( ~ r1_xxreal_0(9,k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm3,axiom,( ~ r1_xxreal_0(9,k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm6,axiom,( ~ r1_xxreal_0(9,k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm7,axiom,( ~ r1_xxreal_0(9,k4_xcmplx_0(7)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm8,axiom,( ~ r1_xxreal_0(9,k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm9,axiom,( ~ r1_xxreal_0(9,k4_xcmplx_0(9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn16d9,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(16,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn17d4,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn1d3,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn1d6,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn1d8,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn20d9,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(20,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn2d3,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn2d9,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn400d81,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(400,81)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn5d4,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rn9d4,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__r9_rnm1d3,axiom,( ~ r1_xxreal_0(9,k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(10),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(10),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r10,axiom,( r1_xxreal_0(k4_xcmplx_0(10),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(10),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r5,axiom,( r1_xxreal_0(k4_xcmplx_0(10),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm1,axiom,( r1_xxreal_0(k4_xcmplx_0(10),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm10,axiom,( r1_xxreal_0(k4_xcmplx_0(10),k4_xcmplx_0(10)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm2,axiom,( r1_xxreal_0(k4_xcmplx_0(10),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm16_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(16),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm16_r16,axiom,( r1_xxreal_0(k4_xcmplx_0(16),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rm16_r81,axiom,( r1_xxreal_0(k4_xcmplx_0(16),81) )).
fof(rqLessOrEqual__r1_xxreal_0__rm16_rm16,axiom,( r1_xxreal_0(k4_xcmplx_0(16),k4_xcmplx_0(16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(1),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(1),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r10,axiom,( r1_xxreal_0(k4_xcmplx_0(1),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r11,axiom,( r1_xxreal_0(k4_xcmplx_0(1),11) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r14,axiom,( r1_xxreal_0(k4_xcmplx_0(1),14) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r15,axiom,( r1_xxreal_0(k4_xcmplx_0(1),15) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r16,axiom,( r1_xxreal_0(k4_xcmplx_0(1),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(1),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r20,axiom,( r1_xxreal_0(k4_xcmplx_0(1),20) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r25,axiom,( r1_xxreal_0(k4_xcmplx_0(1),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r3,axiom,( r1_xxreal_0(k4_xcmplx_0(1),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r4,axiom,( r1_xxreal_0(k4_xcmplx_0(1),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r49,axiom,( r1_xxreal_0(k4_xcmplx_0(1),49) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r5,axiom,( r1_xxreal_0(k4_xcmplx_0(1),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r6,axiom,( r1_xxreal_0(k4_xcmplx_0(1),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r7,axiom,( r1_xxreal_0(k4_xcmplx_0(1),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r8,axiom,( r1_xxreal_0(k4_xcmplx_0(1),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r9,axiom,( r1_xxreal_0(k4_xcmplx_0(1),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm10,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(1),k4_xcmplx_0(10)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm4,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(1),k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(1),k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d4,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d6,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d8,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn2d9,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d4,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d4,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d6,axiom,( r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(2),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(2),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(2),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r3,axiom,( r1_xxreal_0(k4_xcmplx_0(2),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r4,axiom,( r1_xxreal_0(k4_xcmplx_0(2),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r5,axiom,( r1_xxreal_0(k4_xcmplx_0(2),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r6,axiom,( r1_xxreal_0(k4_xcmplx_0(2),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r7,axiom,( r1_xxreal_0(k4_xcmplx_0(2),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r8,axiom,( r1_xxreal_0(k4_xcmplx_0(2),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r9,axiom,( r1_xxreal_0(k4_xcmplx_0(2),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1,axiom,( r1_xxreal_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2,axiom,( r1_xxreal_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(2),k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm4,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(2),k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2,axiom,( r1_xxreal_0(k4_xcmplx_0(2),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d4,axiom,( r1_xxreal_0(k4_xcmplx_0(2),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(3),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(3),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r10,axiom,( r1_xxreal_0(k4_xcmplx_0(3),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(3),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r3,axiom,( r1_xxreal_0(k4_xcmplx_0(3),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r4,axiom,( r1_xxreal_0(k4_xcmplx_0(3),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r5,axiom,( r1_xxreal_0(k4_xcmplx_0(3),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r6,axiom,( r1_xxreal_0(k4_xcmplx_0(3),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r8,axiom,( r1_xxreal_0(k4_xcmplx_0(3),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r9,axiom,( r1_xxreal_0(k4_xcmplx_0(3),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1,axiom,( r1_xxreal_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2,axiom,( r1_xxreal_0(k4_xcmplx_0(3),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3,axiom,( r1_xxreal_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d2,axiom,( r1_xxreal_0(k4_xcmplx_0(3),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d4,axiom,( r1_xxreal_0(k4_xcmplx_0(3),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d4,axiom,( r1_xxreal_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(4),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r4,axiom,( r1_xxreal_0(k4_xcmplx_0(4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r5,axiom,( r1_xxreal_0(k4_xcmplx_0(4),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm1,axiom,( r1_xxreal_0(k4_xcmplx_0(4),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm2,axiom,( r1_xxreal_0(k4_xcmplx_0(4),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm4,axiom,( r1_xxreal_0(k4_xcmplx_0(4),k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(5),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(5),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r4,axiom,( r1_xxreal_0(k4_xcmplx_0(5),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5,axiom,( r1_xxreal_0(k4_xcmplx_0(5),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1,axiom,( r1_xxreal_0(k4_xcmplx_0(5),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5,axiom,( r1_xxreal_0(k4_xcmplx_0(5),k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rn5d2,axiom,( r1_xxreal_0(k4_xcmplx_0(5),k7_xcmplx_0(5,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(6),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(6),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(6),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r3,axiom,( r1_xxreal_0(k4_xcmplx_0(6),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r6,axiom,( r1_xxreal_0(k4_xcmplx_0(6),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r9,axiom,( r1_xxreal_0(k4_xcmplx_0(6),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm6,axiom,( r1_xxreal_0(k4_xcmplx_0(6),k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm8,axiom,( ~ r1_xxreal_0(k4_xcmplx_0(6),k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(8),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(8),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(8),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r4,axiom,( r1_xxreal_0(k4_xcmplx_0(8),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r8,axiom,( r1_xxreal_0(k4_xcmplx_0(8),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r9,axiom,( r1_xxreal_0(k4_xcmplx_0(8),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm2,axiom,( r1_xxreal_0(k4_xcmplx_0(8),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm8,axiom,( r1_xxreal_0(k4_xcmplx_0(8),k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rn1d4,axiom,( r1_xxreal_0(k4_xcmplx_0(8),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r0,axiom,( r1_xxreal_0(k4_xcmplx_0(9),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r1,axiom,( r1_xxreal_0(k4_xcmplx_0(9),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r2,axiom,( r1_xxreal_0(k4_xcmplx_0(9),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r9,axiom,( r1_xxreal_0(k4_xcmplx_0(9),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rm9_rm9,axiom,( r1_xxreal_0(k4_xcmplx_0(9),k4_xcmplx_0(9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_r36,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),36) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_rn11d36,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_rn1d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(11,36),k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(11,36),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_rn25d36,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_rn5d6,axiom,( r1_xxreal_0(k7_xcmplx_0(11,36),k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn11d36_rnm25d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(11,36),k7_xcmplx_0(k4_xcmplx_0(25),36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(14,3),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(14,3),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_r13,axiom,( r1_xxreal_0(k7_xcmplx_0(14,3),13) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_r4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(14,3),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(14,3),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(14,3),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_rn14d3,axiom,( r1_xxreal_0(k7_xcmplx_0(14,3),k7_xcmplx_0(14,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn14d3_rn26d3,axiom,( r1_xxreal_0(k7_xcmplx_0(14,3),k7_xcmplx_0(26,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(159,100),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(159,100),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_r100,axiom,( r1_xxreal_0(k7_xcmplx_0(159,100),100) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_r159,axiom,( r1_xxreal_0(k7_xcmplx_0(159,100),159) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(159,100),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(159,100),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_rn159d100,axiom,( r1_xxreal_0(k7_xcmplx_0(159,100),k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_rn1d100,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(159,100),k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_rn1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(159,100),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn159d100_rnm159d100,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(159,100),k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(15,2),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(15,2),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_r15,axiom,( r1_xxreal_0(k7_xcmplx_0(15,2),15) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_r4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(15,2),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_r7,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(15,2),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(15,2),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_rn15d2,axiom,( r1_xxreal_0(k7_xcmplx_0(15,2),k7_xcmplx_0(15,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn15d2_rn7d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(15,2),k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d7_r15,axiom,( r1_xxreal_0(k7_xcmplx_0(16,7),15) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d7_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(16,7),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d7_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(16,7),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d7_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(16,7),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d7_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(16,7),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d7_rn16d7,axiom,( r1_xxreal_0(k7_xcmplx_0(16,7),k7_xcmplx_0(16,7)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d7_rn256d49,axiom,( r1_xxreal_0(k7_xcmplx_0(16,7),k7_xcmplx_0(256,49)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d9_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(16,9),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn16d9_rn5d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(16,9),k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(17,4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(17,4),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_r17,axiom,( r1_xxreal_0(k7_xcmplx_0(17,4),17) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_r2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(17,4),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_r4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(17,4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(17,4),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(17,4),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_rn17d4,axiom,( r1_xxreal_0(k7_xcmplx_0(17,4),k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(17,4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_rn9d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(17,4),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn17d4_rn9d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(17,4),k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn19d5_r2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(19,5),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn19d5_r3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(19,5),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn19d5_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(19,5),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn19d5_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(19,5),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn19d5_rn19d5,axiom,( r1_xxreal_0(k7_xcmplx_0(19,5),k7_xcmplx_0(19,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn19d5_rn4d5,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(19,5),k7_xcmplx_0(4,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,100),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r100,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),100) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r159,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),159) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rn159d100,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rn1d100,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,100),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d100_rnm159d100,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,100),k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,16),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_rn1d16,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_rn1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_rn25d16,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_rn25d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d16_rn9d16,axiom,( r1_xxreal_0(k7_xcmplx_0(1,16),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d256_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,256),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r100,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),100) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r159,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),159) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r20,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),20) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r27,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),27) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r54,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),54) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn159d100,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(159,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn15d32,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(15,32)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d100,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d8,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d5,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn9d10,axiom,( r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm159d100,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(159),100)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_r36,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),36) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_rn11d36,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_rn1d36,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_rn1d6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_rn25d36,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_rn5d6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,36),k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d36_rnm25d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,36),k7_xcmplx_0(k4_xcmplx_0(25),36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,3),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,3),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d9,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r27,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),27) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r54,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),54) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rm8,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn17d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d256,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn1d8,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn25d16,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn25d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn5d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn9d16,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rn9d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d4_rnm3d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,6),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r20,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),20) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r36,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),36) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,6),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rm6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,6),k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rm8,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,6),k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn11d36,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn1d256,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn1d3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn1d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn1d6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn25d36,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn2d3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rn5d6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d6_rnm1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(1,8),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r14,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),14) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r49,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),49) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_rn1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn1d8_rn1d8,axiom,( r1_xxreal_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn20d9_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(20,9),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn20d9_r20,axiom,( r1_xxreal_0(k7_xcmplx_0(20,9),20) )).
fof(rqLessOrEqual__r1_xxreal_0__rn20d9_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(20,9),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn20d9_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(20,9),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn20d9_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(20,9),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn20d9_rn20d9,axiom,( r1_xxreal_0(k7_xcmplx_0(20,9),k7_xcmplx_0(20,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn256d49_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(256,49),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn256d49_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(256,49),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn256d49_rn256d49,axiom,( r1_xxreal_0(k7_xcmplx_0(256,49),k7_xcmplx_0(256,49)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,16),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,16),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(25,16),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(25,16),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(25,16),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(25,16),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(25,16),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_rn1d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,16),k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,16),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_rn25d16,axiom,( r1_xxreal_0(k7_xcmplx_0(25,16),k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_rn25d4,axiom,( r1_xxreal_0(k7_xcmplx_0(25,16),k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_rn3d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,16),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d16_rn9d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,16),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,36),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(25,36),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(25,36),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_r36,axiom,( r1_xxreal_0(k7_xcmplx_0(25,36),36) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(25,36),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(25,36),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_rn11d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,36),k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_rn1d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,36),k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,36),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_rn25d36,axiom,( r1_xxreal_0(k7_xcmplx_0(25,36),k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_rn5d6,axiom,( r1_xxreal_0(k7_xcmplx_0(25,36),k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d36_rnm25d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,36),k7_xcmplx_0(k4_xcmplx_0(25),36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(25,4),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(25,4),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r5,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(25,4),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_rn1d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_rn25d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_rn25d4,axiom,( r1_xxreal_0(k7_xcmplx_0(25,4),k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_rn5d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),k7_xcmplx_0(5,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn25d4_rn9d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(25,4),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(26,3),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(26,3),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_r13,axiom,( r1_xxreal_0(k7_xcmplx_0(26,3),13) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_r4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(26,3),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_r6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(26,3),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_r7,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(26,3),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_rn14d3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(26,3),k7_xcmplx_0(14,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn26d3_rn26d3,axiom,( r1_xxreal_0(k7_xcmplx_0(26,3),k7_xcmplx_0(26,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,3),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(2,3),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(2,3),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r20,axiom,( r1_xxreal_0(k7_xcmplx_0(2,3),20) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(2,3),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(2,3),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(2,3),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,3),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3,axiom,( r1_xxreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d9,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,9),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(2,9),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(2,9),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(2,9),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(2,9),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,9),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_rn1d3,axiom,( r1_xxreal_0(k7_xcmplx_0(2,9),k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_rn2d3,axiom,( r1_xxreal_0(k7_xcmplx_0(2,9),k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_rn2d9,axiom,( r1_xxreal_0(k7_xcmplx_0(2,9),k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn2d9_rnm1d3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(2,9),k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d5,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn9d10,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn9d4,axiom,( r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn25d16,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d2,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn9d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rn9d4,axiom,( r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d4_rnm3d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,5),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_rn1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(3,5),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_rn3d2,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_rn3d5,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn3d5_rn9d10,axiom,( r1_xxreal_0(k7_xcmplx_0(3,5),k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn400d81_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(400,81),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn400d81_rn20d9,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(400,81),k7_xcmplx_0(20,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn49d9_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(49,9),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn49d9_rn49d9,axiom,( r1_xxreal_0(k7_xcmplx_0(49,9),k7_xcmplx_0(49,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(4,5),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(4,5),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(4,5),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(4,5),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(4,5),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_rn19d5,axiom,( r1_xxreal_0(k7_xcmplx_0(4,5),k7_xcmplx_0(19,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn4d5_rn4d5,axiom,( r1_xxreal_0(k7_xcmplx_0(4,5),k7_xcmplx_0(4,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d2_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,2),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d2_r2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,2),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d2_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(5,2),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d2_rm5,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,2),k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d2_rn5d2,axiom,( r1_xxreal_0(k7_xcmplx_0(5,2),k7_xcmplx_0(5,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(5,4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn1d256,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn5d4,axiom,( r1_xxreal_0(k7_xcmplx_0(5,4),k7_xcmplx_0(5,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d4_rn5d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,4),k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,6),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(5,6),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(5,6),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r36,axiom,( r1_xxreal_0(k7_xcmplx_0(5,6),36) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(5,6),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(5,6),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn1d256,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,6),k7_xcmplx_0(1,256)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn1d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,6),k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,6),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn1d6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,6),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn25d36,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(5,6),k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn5d6_rn5d6,axiom,( r1_xxreal_0(k7_xcmplx_0(5,6),k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(7,2),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_r15,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),15) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_r28,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),28) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_rn15d2,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),k7_xcmplx_0(15,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d2_rn7d2,axiom,( r1_xxreal_0(k7_xcmplx_0(7,2),k7_xcmplx_0(7,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d3_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(7,3),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d3_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(7,3),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d3_r7,axiom,( r1_xxreal_0(k7_xcmplx_0(7,3),7) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d3_rn49d9,axiom,( r1_xxreal_0(k7_xcmplx_0(7,3),k7_xcmplx_0(49,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d3_rn7d3,axiom,( r1_xxreal_0(k7_xcmplx_0(7,3),k7_xcmplx_0(7,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn7d6_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(7,6),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn81d5_r16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(81,5),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn81d5_r5,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(81,5),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn81d5_r81,axiom,( r1_xxreal_0(k7_xcmplx_0(81,5),81) )).
fof(rqLessOrEqual__r1_xxreal_0__rn81d5_rn81d5,axiom,( r1_xxreal_0(k7_xcmplx_0(81,5),k7_xcmplx_0(81,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,10),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_r10,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),10) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_rn1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,10),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_rn3d2,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_rn3d5,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,10),k7_xcmplx_0(3,5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d10_rn9d10,axiom,( r1_xxreal_0(k7_xcmplx_0(9,10),k7_xcmplx_0(9,10)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,16),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn17d4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn1d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(1,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn25d16,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(25,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn25d4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(25,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn9d16,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rn9d4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d16_rnm1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,16),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r0,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r16,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),16) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r17,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),17) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,4),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r8,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),8) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_rn17d4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),k7_xcmplx_0(17,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_rn1d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_rn3d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,4),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_rn3d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,4),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_rn9d16,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(9,4),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rn9d4_rn9d4,axiom,( r1_xxreal_0(k7_xcmplx_0(9,4),k7_xcmplx_0(9,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm5,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(5)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r9,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),9) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d9,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,9)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r0,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r2,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),2) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rm2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rm4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d2,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rn9d16,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(9,16)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d2,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d4_rnm3d4,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_r0,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rm1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(1)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rm6,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rm8,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(8)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rn1d6,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d6_rnm1d6,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_r25,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),25) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_r36,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),36) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_r5,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),5) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_r6,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),6) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_rn11d36,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(11,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_rn1d36,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(1,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_rn1d6,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(1,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_rn25d36,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(25,36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_rn5d6,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(5,6)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm25d36_rnm25d36,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(k4_xcmplx_0(25),36)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r0,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),0) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r1,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),1) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r3,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),3) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_r4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),4) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rm3,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(3)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rn3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(3,4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm1d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d4_rnm3d4,axiom,( r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_cr1r0_cr2r0,axiom,( k2_xcmplx_0(k1_xcmplx_0,k1_xcmplx_0) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_cr2r0_cr3r0,axiom,( k2_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_cr3r0_cr4r0,axiom,( k2_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm1r0_r0,axiom,( k2_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm2r0_crm1r0,axiom,( k2_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm3r0_crm2r0,axiom,( k2_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_r0_cr1r0,axiom,( k2_xcmplx_0(k1_xcmplx_0,0) = k1_xcmplx_0 )).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_r1_cr1r1,axiom,( k2_xcmplx_0(k1_xcmplx_0,1) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_cr1r0_cr3r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_cr2r0_cr4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_crm1r0_cr1r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_crm2r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_crm4r0_crm2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr3r0_cr1r0_cr4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr3r0_cr3r0_cr6r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(6,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__cr4r0_crm2r0_cr2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(4,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr1r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k1_xcmplx_0) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr2r0_cr1r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr3r0_cr2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crm1r0_crm2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crm2r0_crm3r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crm3r0_crm4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crn1d2r0_crnm1d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_r0_crm1r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),0) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_r1_crm1r1,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_rm1_crm1rm1,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr1r0_crm1r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr2r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr3r0_cr1r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr4r0_cr2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_crm1r0_crm3r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_crm2r0_crm4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_crm4r0_crm6r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_crm6r0_crm8r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm3r0_cr3r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crm3r0_cr6r0_cr3r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k3_xcmplx_0(6,k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm4r0_cr1r0_crm3r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crm4r0_cr2r0_crm2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d16r0_crn1d16r0_crn1d8r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d16r0_crn1d8r0_crn3d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d16r0_crnm1d16r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crn1d16r0_crnm1d8r0_crnm1d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_cr1r0_crn3d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_crm1r0_crnm1d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_crn1d2r0_cr1r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_crn1d4r0_crn3d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_crn3d2r0_cr2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_crnm1d2r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_crnm1d4r0_crn1d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2r0_crnm3d4r0_crnm1d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d2rn1d2_crnm1d2rn1d2_r1,axiom,( k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__crn1d4r0_crn1d2r0_crn3d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d4r0_crn1d4r0_crn1d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d4r0_crnm1d2r0_crnm1d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d4r0_crnm1d4r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crn1d4r0_crnm3d4r0_crnm1d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d64r0_crnm1d64r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crn1d6r0_crn1d6r0_crn1d3r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d6r0_crnm1d6r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crn1d8r0_crn1d16r0_crn3d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn1d8r0_crnm1d16r0_crn1d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crn3d16r0_crnm3d16r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crn3d4r0_crnm3d4r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d16r0_crn1d16r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d16r0_crn1d8r0_crn1d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d16r0_crnm1d16r0_crnm1d8r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d16r0_crnm1d8r0_crnm3d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d16r0_crnm3d16r0_crnm1d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d2r0_cr1r0_crn1d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d2r0_crn1d2r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d2r0_crn1d4r0_crnm1d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d2r0_crnm1d2r0_crm1r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d2r0_crnm1d4r0_crnm3d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d2rn1d2_crn1d2rn1d2_r1,axiom,( k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d4r0_crn1d2r0_crn1d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d4r0_crn1d4r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d4r0_crn3d4r0_crn1d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d4r0_crnm1d2r0_crnm3d4r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d4r0_crnm1d4r0_crnm1d2r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d64r0_crn1d64r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d6r0_crn1d6r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d8r0_crn1d16r0_crnm1d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d8r0_crn1d8r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm1d8r0_crn3d16r0_crn1d16r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__crnm3d16r0_crn3d16r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__crnm3d4r0_crn3d4r0_r0,axiom,( k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r0_cr1r0_cr1r0,axiom,( k2_xcmplx_0(0,k1_xcmplx_0) = k1_xcmplx_0 )).
fof(rqRealAdd__k2_xcmplx_0__r0_crm1r0_crm1r0,axiom,( k2_xcmplx_0(0,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0,axiom,( k2_xcmplx_0(0,0) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r128_r128,axiom,( k2_xcmplx_0(0,128) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r15_r15,axiom,( k2_xcmplx_0(0,15) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r16_r16,axiom,( k2_xcmplx_0(0,16) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1,axiom,( k2_xcmplx_0(0,1) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r256_r256,axiom,( k2_xcmplx_0(0,256) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r257_r257,axiom,( k2_xcmplx_0(0,257) = 257 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2,axiom,( k2_xcmplx_0(0,2) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3,axiom,( k2_xcmplx_0(0,3) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r4_r4,axiom,( k2_xcmplx_0(0,4) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5,axiom,( k2_xcmplx_0(0,5) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r6_r6,axiom,( k2_xcmplx_0(0,6) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r7_r7,axiom,( k2_xcmplx_0(0,7) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r81_r81,axiom,( k2_xcmplx_0(0,81) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r8_r8,axiom,( k2_xcmplx_0(0,8) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r0_r9_r9,axiom,( k2_xcmplx_0(0,9) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r0_rm16_rm16,axiom,( k2_xcmplx_0(0,k4_xcmplx_0(16)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,axiom,( k2_xcmplx_0(0,k4_xcmplx_0(1)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,axiom,( k2_xcmplx_0(0,k4_xcmplx_0(2)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3,axiom,( k2_xcmplx_0(0,k4_xcmplx_0(3)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rm4_rm4,axiom,( k2_xcmplx_0(0,k4_xcmplx_0(4)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,axiom,( k2_xcmplx_0(0,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4,axiom,( k2_xcmplx_0(0,k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3,axiom,( k2_xcmplx_0(0,k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2,axiom,( k2_xcmplx_0(0,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,axiom,( k2_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__r100_r175_r275,axiom,( k2_xcmplx_0(100,175) = 275 )).
fof(rqRealAdd__k2_xcmplx_0__r100_r1_r101,axiom,( k2_xcmplx_0(100,1) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r102_r140_r242,axiom,( k2_xcmplx_0(102,140) = 242 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r100_r204,axiom,( k2_xcmplx_0(104,100) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r126_r230,axiom,( k2_xcmplx_0(104,126) = 230 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r132_r236,axiom,( k2_xcmplx_0(104,132) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r142_r246,axiom,( k2_xcmplx_0(104,142) = 246 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r204_r308,axiom,( k2_xcmplx_0(104,204) = 308 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r28_r132,axiom,( k2_xcmplx_0(104,28) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r60_r164,axiom,( k2_xcmplx_0(104,60) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r76_r180,axiom,( k2_xcmplx_0(104,76) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r104_r84_r188,axiom,( k2_xcmplx_0(104,84) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__r104_rm20_r84,axiom,( k2_xcmplx_0(104,k4_xcmplx_0(20)) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r104_rm32_r72,axiom,( k2_xcmplx_0(104,k4_xcmplx_0(32)) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r104_rm36_r68,axiom,( k2_xcmplx_0(104,k4_xcmplx_0(36)) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r105_r245_r350,axiom,( k2_xcmplx_0(105,245) = 350 )).
fof(rqRealAdd__k2_xcmplx_0__r105_r70_r175,axiom,( k2_xcmplx_0(105,70) = 175 )).
fof(rqRealAdd__k2_xcmplx_0__r106_r128_r234,axiom,( k2_xcmplx_0(106,128) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r107_r118_r225,axiom,( k2_xcmplx_0(107,118) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r107_r12_r119,axiom,( k2_xcmplx_0(107,12) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r108_r216,axiom,( k2_xcmplx_0(108,108) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r126_r234,axiom,( k2_xcmplx_0(108,126) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r132_r240,axiom,( k2_xcmplx_0(108,132) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r140_r248,axiom,( k2_xcmplx_0(108,140) = 248 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r144_r252,axiom,( k2_xcmplx_0(108,144) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r148_r256,axiom,( k2_xcmplx_0(108,148) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r180_r288,axiom,( k2_xcmplx_0(108,180) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r182_r290,axiom,( k2_xcmplx_0(108,182) = 290 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r187_r295,axiom,( k2_xcmplx_0(108,187) = 295 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r194_r302,axiom,( k2_xcmplx_0(108,194) = 302 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r200_r308,axiom,( k2_xcmplx_0(108,200) = 308 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r240_r348,axiom,( k2_xcmplx_0(108,240) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r241_r349,axiom,( k2_xcmplx_0(108,241) = 349 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r252_r360,axiom,( k2_xcmplx_0(108,252) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r259_r367,axiom,( k2_xcmplx_0(108,259) = 367 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r263_r371,axiom,( k2_xcmplx_0(108,263) = 371 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r31_r139,axiom,( k2_xcmplx_0(108,31) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r324_r432,axiom,( k2_xcmplx_0(108,324) = 432 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r32_r140,axiom,( k2_xcmplx_0(108,32) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r332_r440,axiom,( k2_xcmplx_0(108,332) = 440 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r342_r450,axiom,( k2_xcmplx_0(108,342) = 450 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r349_r457,axiom,( k2_xcmplx_0(108,349) = 457 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r366_r474,axiom,( k2_xcmplx_0(108,366) = 474 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r445_r553,axiom,( k2_xcmplx_0(108,445) = 553 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r452_r560,axiom,( k2_xcmplx_0(108,452) = 560 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r493_r601,axiom,( k2_xcmplx_0(108,493) = 601 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r499_r607,axiom,( k2_xcmplx_0(108,499) = 607 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r51_r159,axiom,( k2_xcmplx_0(108,51) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r54_r162,axiom,( k2_xcmplx_0(108,54) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r551_r659,axiom,( k2_xcmplx_0(108,551) = 659 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r560_r668,axiom,( k2_xcmplx_0(108,560) = 668 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r63_r171,axiom,( k2_xcmplx_0(108,63) = 171 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r69_r177,axiom,( k2_xcmplx_0(108,69) = 177 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r72_r180,axiom,( k2_xcmplx_0(108,72) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r76_r184,axiom,( k2_xcmplx_0(108,76) = 184 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r80_r188,axiom,( k2_xcmplx_0(108,80) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r81_r189,axiom,( k2_xcmplx_0(108,81) = 189 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r820_r928,axiom,( k2_xcmplx_0(108,820) = 928 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r82_r190,axiom,( k2_xcmplx_0(108,82) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r86_r194,axiom,( k2_xcmplx_0(108,86) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r108_r92_r200,axiom,( k2_xcmplx_0(108,92) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r108_rm108_r0,axiom,( k2_xcmplx_0(108,k4_xcmplx_0(108)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r108_rm39_r69,axiom,( k2_xcmplx_0(108,k4_xcmplx_0(39)) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r108_rm42_r66,axiom,( k2_xcmplx_0(108,k4_xcmplx_0(42)) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r108_rm48_r60,axiom,( k2_xcmplx_0(108,k4_xcmplx_0(48)) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r108_rm72_r36,axiom,( k2_xcmplx_0(108,k4_xcmplx_0(72)) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r10_r20,axiom,( k2_xcmplx_0(10,10) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r11_r21,axiom,( k2_xcmplx_0(10,11) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r12_r22,axiom,( k2_xcmplx_0(10,12) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r132_r142,axiom,( k2_xcmplx_0(10,132) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r13_r23,axiom,( k2_xcmplx_0(10,13) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r146_r156,axiom,( k2_xcmplx_0(10,146) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r14_r24,axiom,( k2_xcmplx_0(10,14) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r153_r163,axiom,( k2_xcmplx_0(10,153) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r15_r25,axiom,( k2_xcmplx_0(10,15) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r16_r26,axiom,( k2_xcmplx_0(10,16) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r17_r27,axiom,( k2_xcmplx_0(10,17) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r180_r190,axiom,( k2_xcmplx_0(10,180) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r18_r28,axiom,( k2_xcmplx_0(10,18) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r19_r29,axiom,( k2_xcmplx_0(10,19) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r1_r11,axiom,( k2_xcmplx_0(10,1) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r20_r30,axiom,( k2_xcmplx_0(10,20) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r21_r31,axiom,( k2_xcmplx_0(10,21) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r22_r32,axiom,( k2_xcmplx_0(10,22) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r287_r297,axiom,( k2_xcmplx_0(10,287) = 297 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r28_r38,axiom,( k2_xcmplx_0(10,28) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r2_r12,axiom,( k2_xcmplx_0(10,2) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r306_r316,axiom,( k2_xcmplx_0(10,306) = 316 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r30_r40,axiom,( k2_xcmplx_0(10,30) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r322_r332,axiom,( k2_xcmplx_0(10,322) = 332 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r328_r338,axiom,( k2_xcmplx_0(10,328) = 338 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r32_r42,axiom,( k2_xcmplx_0(10,32) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r33_r43,axiom,( k2_xcmplx_0(10,33) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r36_r46,axiom,( k2_xcmplx_0(10,36) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r3_r13,axiom,( k2_xcmplx_0(10,3) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r440_r450,axiom,( k2_xcmplx_0(10,440) = 450 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r472_r482,axiom,( k2_xcmplx_0(10,472) = 482 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r493_r503,axiom,( k2_xcmplx_0(10,493) = 503 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r4_r14,axiom,( k2_xcmplx_0(10,4) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r51_r61,axiom,( k2_xcmplx_0(10,51) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r57_r67,axiom,( k2_xcmplx_0(10,57) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r59_r69,axiom,( k2_xcmplx_0(10,59) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r5_r15,axiom,( k2_xcmplx_0(10,5) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r621_r631,axiom,( k2_xcmplx_0(10,621) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r63_r73,axiom,( k2_xcmplx_0(10,63) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r65_r75,axiom,( k2_xcmplx_0(10,65) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r69_r79,axiom,( k2_xcmplx_0(10,69) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r6_r16,axiom,( k2_xcmplx_0(10,6) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r70_r80,axiom,( k2_xcmplx_0(10,70) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r782_r792,axiom,( k2_xcmplx_0(10,782) = 792 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r7_r17,axiom,( k2_xcmplx_0(10,7) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r8_r18,axiom,( k2_xcmplx_0(10,8) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r91_r101,axiom,( k2_xcmplx_0(10,91) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r10_r9_r19,axiom,( k2_xcmplx_0(10,9) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm104_rm94,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(104)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm10_r0,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(10)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm11_rm1,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(11)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm12_rm2,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(12)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm130_rm120,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(130)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm13_rm3,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(13)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm14_rm4,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(14)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm15_rm5,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(15)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm16_rm6,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(16)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm17_rm7,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(17)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm18_rm8,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(18)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm19_rm9,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(19)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm1_r9,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(1)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm20_rm10,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(20)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm29_rm19,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(29)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm2_r8,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(2)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm3_r7,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(3)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm400_rm390,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(400)) = k4_xcmplx_0(390) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm4_r6,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(4)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm5_r5,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(5)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm63_rm53,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(63)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm6_r4,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(6)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm712_rm702,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(712)) = k4_xcmplx_0(702) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm7_r3,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(7)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm8_r2,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(8)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rm9_r1,axiom,( k2_xcmplx_0(10,k4_xcmplx_0(9)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r10_rn16d5_rn66d5,axiom,( k2_xcmplx_0(10,k7_xcmplx_0(16,5)) = k7_xcmplx_0(66,5) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rn35d2_rn55d2,axiom,( k2_xcmplx_0(10,k7_xcmplx_0(35,2)) = k7_xcmplx_0(55,2) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rnm1d42_rn419d42,axiom,( k2_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(419,42) )).
fof(rqRealAdd__k2_xcmplx_0__r10_rnm1d7_rn69d7,axiom,( k2_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(69,7) )).
fof(rqRealAdd__k2_xcmplx_0__r110_r1_r111,axiom,( k2_xcmplx_0(110,1) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r129_r241,axiom,( k2_xcmplx_0(112,129) = 241 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r151_r263,axiom,( k2_xcmplx_0(112,151) = 263 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r152_r264,axiom,( k2_xcmplx_0(112,152) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r194_r306,axiom,( k2_xcmplx_0(112,194) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r276_r388,axiom,( k2_xcmplx_0(112,276) = 388 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r284_r396,axiom,( k2_xcmplx_0(112,284) = 396 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r287_r399,axiom,( k2_xcmplx_0(112,287) = 399 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r367_r479,axiom,( k2_xcmplx_0(112,367) = 479 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r482_r594,axiom,( k2_xcmplx_0(112,482) = 594 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r553_r665,axiom,( k2_xcmplx_0(112,553) = 665 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r568_r680,axiom,( k2_xcmplx_0(112,568) = 680 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r582_r694,axiom,( k2_xcmplx_0(112,582) = 694 )).
fof(rqRealAdd__k2_xcmplx_0__r112_r604_r716,axiom,( k2_xcmplx_0(112,604) = 716 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r180_r294,axiom,( k2_xcmplx_0(114,180) = 294 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r198_r312,axiom,( k2_xcmplx_0(114,198) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r252_r366,axiom,( k2_xcmplx_0(114,252) = 366 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r288_r402,axiom,( k2_xcmplx_0(114,288) = 402 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r378_r492,axiom,( k2_xcmplx_0(114,378) = 492 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r42_r156,axiom,( k2_xcmplx_0(114,42) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r528_r642,axiom,( k2_xcmplx_0(114,528) = 642 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r66_r180,axiom,( k2_xcmplx_0(114,66) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r114_r96_r210,axiom,( k2_xcmplx_0(114,96) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r116_rm248_rm132,axiom,( k2_xcmplx_0(116,k4_xcmplx_0(248)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__r116_rm464_rm348,axiom,( k2_xcmplx_0(116,k4_xcmplx_0(464)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__r117_r159_r276,axiom,( k2_xcmplx_0(117,159) = 276 )).
fof(rqRealAdd__k2_xcmplx_0__r117_r370_r487,axiom,( k2_xcmplx_0(117,370) = 487 )).
fof(rqRealAdd__k2_xcmplx_0__r117_r396_r513,axiom,( k2_xcmplx_0(117,396) = 513 )).
fof(rqRealAdd__k2_xcmplx_0__r117_r68_r185,axiom,( k2_xcmplx_0(117,68) = 185 )).
fof(rqRealAdd__k2_xcmplx_0__r118_r156_r274,axiom,( k2_xcmplx_0(118,156) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__r119_r156_r275,axiom,( k2_xcmplx_0(119,156) = 275 )).
fof(rqRealAdd__k2_xcmplx_0__r119_r84_r203,axiom,( k2_xcmplx_0(119,84) = 203 )).
fof(rqRealAdd__k2_xcmplx_0__r119_rm119_r0,axiom,( k2_xcmplx_0(119,k4_xcmplx_0(119)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r105_r116,axiom,( k2_xcmplx_0(11,105) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r10_r21,axiom,( k2_xcmplx_0(11,10) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r11_r22,axiom,( k2_xcmplx_0(11,11) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r12_r23,axiom,( k2_xcmplx_0(11,12) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r152_r163,axiom,( k2_xcmplx_0(11,152) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r15_r26,axiom,( k2_xcmplx_0(11,15) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r16_r27,axiom,( k2_xcmplx_0(11,16) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r18_r29,axiom,( k2_xcmplx_0(11,18) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r19_r30,axiom,( k2_xcmplx_0(11,19) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r1_r12,axiom,( k2_xcmplx_0(11,1) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r24_r35,axiom,( k2_xcmplx_0(11,24) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r26_r37,axiom,( k2_xcmplx_0(11,26) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r2_r13,axiom,( k2_xcmplx_0(11,2) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r306_r317,axiom,( k2_xcmplx_0(11,306) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r30_r41,axiom,( k2_xcmplx_0(11,30) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r32_r43,axiom,( k2_xcmplx_0(11,32) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r38_r49,axiom,( k2_xcmplx_0(11,38) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r3_r14,axiom,( k2_xcmplx_0(11,3) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r42_r53,axiom,( k2_xcmplx_0(11,42) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r4_r15,axiom,( k2_xcmplx_0(11,4) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r56_r67,axiom,( k2_xcmplx_0(11,56) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r5_r16,axiom,( k2_xcmplx_0(11,5) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r60_r71,axiom,( k2_xcmplx_0(11,60) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r68_r79,axiom,( k2_xcmplx_0(11,68) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r78_r89,axiom,( k2_xcmplx_0(11,78) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r7_r18,axiom,( k2_xcmplx_0(11,7) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r11_r8_r19,axiom,( k2_xcmplx_0(11,8) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm10_r1,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(10)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm11_r0,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(11)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm12_rm1,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(12)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm14_rm3,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(14)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm16_rm5,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(16)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm1_r10,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(1)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm20_rm9,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(20)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm24_rm13,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(24)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm27_rm16,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(27)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm2_r9,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(2)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm3_r8,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(3)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm5_r6,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(5)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm65_rm54,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(65)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm6_r5,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(6)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm7_r4,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(7)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm8_r3,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(8)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rm9_r2,axiom,( k2_xcmplx_0(11,k4_xcmplx_0(9)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r11_rn3d2_rn25d2,axiom,( k2_xcmplx_0(11,k7_xcmplx_0(3,2)) = k7_xcmplx_0(25,2) )).
fof(rqRealAdd__k2_xcmplx_0__r120_r160_r280,axiom,( k2_xcmplx_0(120,160) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r120_r162_r282,axiom,( k2_xcmplx_0(120,162) = 282 )).
fof(rqRealAdd__k2_xcmplx_0__r120_r180_r300,axiom,( k2_xcmplx_0(120,180) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r120_r196_r316,axiom,( k2_xcmplx_0(120,196) = 316 )).
fof(rqRealAdd__k2_xcmplx_0__r120_r1_r121,axiom,( k2_xcmplx_0(120,1) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r120_r264_r384,axiom,( k2_xcmplx_0(120,264) = 384 )).
fof(rqRealAdd__k2_xcmplx_0__r120_r40_r160,axiom,( k2_xcmplx_0(120,40) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r120_rm1_r119,axiom,( k2_xcmplx_0(120,k4_xcmplx_0(1)) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r121_r332_r453,axiom,( k2_xcmplx_0(121,332) = 453 )).
fof(rqRealAdd__k2_xcmplx_0__r121_r45_r166,axiom,( k2_xcmplx_0(121,45) = 166 )).
fof(rqRealAdd__k2_xcmplx_0__r121_r7_r128,axiom,( k2_xcmplx_0(121,7) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r124_r3_r127,axiom,( k2_xcmplx_0(124,3) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r126_r252,axiom,( k2_xcmplx_0(126,126) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r142_r268,axiom,( k2_xcmplx_0(126,142) = 268 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r156_r282,axiom,( k2_xcmplx_0(126,156) = 282 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r158_r284,axiom,( k2_xcmplx_0(126,158) = 284 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r188_r314,axiom,( k2_xcmplx_0(126,188) = 314 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r18_r144,axiom,( k2_xcmplx_0(126,18) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r190_r316,axiom,( k2_xcmplx_0(126,190) = 316 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r194_r320,axiom,( k2_xcmplx_0(126,194) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r206_r332,axiom,( k2_xcmplx_0(126,206) = 332 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r216_r342,axiom,( k2_xcmplx_0(126,216) = 342 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r264_r390,axiom,( k2_xcmplx_0(126,264) = 390 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r328_r454,axiom,( k2_xcmplx_0(126,328) = 454 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r56_r182,axiom,( k2_xcmplx_0(126,56) = 182 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r582_r708,axiom,( k2_xcmplx_0(126,582) = 708 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r642_r768,axiom,( k2_xcmplx_0(126,642) = 768 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r88_r214,axiom,( k2_xcmplx_0(126,88) = 214 )).
fof(rqRealAdd__k2_xcmplx_0__r126_r92_r218,axiom,( k2_xcmplx_0(126,92) = 218 )).
fof(rqRealAdd__k2_xcmplx_0__r126_rm19_r107,axiom,( k2_xcmplx_0(126,k4_xcmplx_0(19)) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r126_rm72_r54,axiom,( k2_xcmplx_0(126,k4_xcmplx_0(72)) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r126_rm7_r119,axiom,( k2_xcmplx_0(126,k4_xcmplx_0(7)) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r127_r98_r225,axiom,( k2_xcmplx_0(127,98) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r0_r128,axiom,( k2_xcmplx_0(128,0) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r106_r234,axiom,( k2_xcmplx_0(128,106) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r128_r256,axiom,( k2_xcmplx_0(128,128) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r1_r129,axiom,( k2_xcmplx_0(128,1) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r210_r338,axiom,( k2_xcmplx_0(128,210) = 338 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r226_r354,axiom,( k2_xcmplx_0(128,226) = 354 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r234_r362,axiom,( k2_xcmplx_0(128,234) = 362 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r32_r160,axiom,( k2_xcmplx_0(128,32) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r370_r498,axiom,( k2_xcmplx_0(128,370) = 498 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r66_r194,axiom,( k2_xcmplx_0(128,66) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r70_r198,axiom,( k2_xcmplx_0(128,70) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r78_r206,axiom,( k2_xcmplx_0(128,78) = 206 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r82_r210,axiom,( k2_xcmplx_0(128,82) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r128_r90_r218,axiom,( k2_xcmplx_0(128,90) = 218 )).
fof(rqRealAdd__k2_xcmplx_0__r128_rm120_r8,axiom,( k2_xcmplx_0(128,k4_xcmplx_0(120)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r128_rm1_r127,axiom,( k2_xcmplx_0(128,k4_xcmplx_0(1)) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r128_rm32_r96,axiom,( k2_xcmplx_0(128,k4_xcmplx_0(32)) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r128_rm64_r64,axiom,( k2_xcmplx_0(128,k4_xcmplx_0(64)) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r128_rm8_r120,axiom,( k2_xcmplx_0(128,k4_xcmplx_0(8)) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r128_rm96_r32,axiom,( k2_xcmplx_0(128,k4_xcmplx_0(96)) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r100_r112,axiom,( k2_xcmplx_0(12,100) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r102_r114,axiom,( k2_xcmplx_0(12,102) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r106_r118,axiom,( k2_xcmplx_0(12,106) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r108_r120,axiom,( k2_xcmplx_0(12,108) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r10_r22,axiom,( k2_xcmplx_0(12,10) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r110_r122,axiom,( k2_xcmplx_0(12,110) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r111_r123,axiom,( k2_xcmplx_0(12,111) = 123 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r113_r125,axiom,( k2_xcmplx_0(12,113) = 125 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r114_r126,axiom,( k2_xcmplx_0(12,114) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r116_r128,axiom,( k2_xcmplx_0(12,116) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r117_r129,axiom,( k2_xcmplx_0(12,117) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r118_r130,axiom,( k2_xcmplx_0(12,118) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r11_r23,axiom,( k2_xcmplx_0(12,11) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r120_r132,axiom,( k2_xcmplx_0(12,120) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r122_r134,axiom,( k2_xcmplx_0(12,122) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r123_r135,axiom,( k2_xcmplx_0(12,123) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r124_r136,axiom,( k2_xcmplx_0(12,124) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r126_r138,axiom,( k2_xcmplx_0(12,126) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r128_r140,axiom,( k2_xcmplx_0(12,128) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r12_r24,axiom,( k2_xcmplx_0(12,12) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r130_r142,axiom,( k2_xcmplx_0(12,130) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r132_r144,axiom,( k2_xcmplx_0(12,132) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r134_r146,axiom,( k2_xcmplx_0(12,134) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r136_r148,axiom,( k2_xcmplx_0(12,136) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r138_r150,axiom,( k2_xcmplx_0(12,138) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r13_r25,axiom,( k2_xcmplx_0(12,13) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r144_r156,axiom,( k2_xcmplx_0(12,144) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r146_r158,axiom,( k2_xcmplx_0(12,146) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r148_r160,axiom,( k2_xcmplx_0(12,148) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r14_r26,axiom,( k2_xcmplx_0(12,14) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r150_r162,axiom,( k2_xcmplx_0(12,150) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r151_r163,axiom,( k2_xcmplx_0(12,151) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r155_r167,axiom,( k2_xcmplx_0(12,155) = 167 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r156_r168,axiom,( k2_xcmplx_0(12,156) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r158_r170,axiom,( k2_xcmplx_0(12,158) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r159_r171,axiom,( k2_xcmplx_0(12,159) = 171 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r15_r27,axiom,( k2_xcmplx_0(12,15) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r160_r172,axiom,( k2_xcmplx_0(12,160) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r168_r180,axiom,( k2_xcmplx_0(12,168) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r16_r28,axiom,( k2_xcmplx_0(12,16) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r176_r188,axiom,( k2_xcmplx_0(12,176) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r178_r190,axiom,( k2_xcmplx_0(12,178) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r17_r29,axiom,( k2_xcmplx_0(12,17) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r180_r192,axiom,( k2_xcmplx_0(12,180) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r181_r193,axiom,( k2_xcmplx_0(12,181) = 193 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r186_r198,axiom,( k2_xcmplx_0(12,186) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r187_r199,axiom,( k2_xcmplx_0(12,187) = 199 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r188_r200,axiom,( k2_xcmplx_0(12,188) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r18_r30,axiom,( k2_xcmplx_0(12,18) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r192_r204,axiom,( k2_xcmplx_0(12,192) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r193_r205,axiom,( k2_xcmplx_0(12,193) = 205 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r198_r210,axiom,( k2_xcmplx_0(12,198) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r199_r211,axiom,( k2_xcmplx_0(12,199) = 211 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r19_r31,axiom,( k2_xcmplx_0(12,19) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r1_r13,axiom,( k2_xcmplx_0(12,1) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r20_r32,axiom,( k2_xcmplx_0(12,20) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r210_r222,axiom,( k2_xcmplx_0(12,210) = 222 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r213_r225,axiom,( k2_xcmplx_0(12,213) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r21_r33,axiom,( k2_xcmplx_0(12,21) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r224_r236,axiom,( k2_xcmplx_0(12,224) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r226_r238,axiom,( k2_xcmplx_0(12,226) = 238 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r229_r241,axiom,( k2_xcmplx_0(12,229) = 241 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r22_r34,axiom,( k2_xcmplx_0(12,22) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r235_r247,axiom,( k2_xcmplx_0(12,235) = 247 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r238_r250,axiom,( k2_xcmplx_0(12,238) = 250 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r23_r35,axiom,( k2_xcmplx_0(12,23) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r240_r252,axiom,( k2_xcmplx_0(12,240) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r242_r254,axiom,( k2_xcmplx_0(12,242) = 254 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r248_r260,axiom,( k2_xcmplx_0(12,248) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r24_r36,axiom,( k2_xcmplx_0(12,24) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r257_r269,axiom,( k2_xcmplx_0(12,257) = 269 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r25_r37,axiom,( k2_xcmplx_0(12,25) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r264_r276,axiom,( k2_xcmplx_0(12,264) = 276 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r26_r38,axiom,( k2_xcmplx_0(12,26) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r270_r282,axiom,( k2_xcmplx_0(12,270) = 282 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r272_r284,axiom,( k2_xcmplx_0(12,272) = 284 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r27_r39,axiom,( k2_xcmplx_0(12,27) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r284_r296,axiom,( k2_xcmplx_0(12,284) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r288_r300,axiom,( k2_xcmplx_0(12,288) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r28_r40,axiom,( k2_xcmplx_0(12,28) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r296_r308,axiom,( k2_xcmplx_0(12,296) = 308 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r29_r41,axiom,( k2_xcmplx_0(12,29) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r2_r14,axiom,( k2_xcmplx_0(12,2) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r300_r312,axiom,( k2_xcmplx_0(12,300) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r303_r315,axiom,( k2_xcmplx_0(12,303) = 315 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r308_r320,axiom,( k2_xcmplx_0(12,308) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r30_r42,axiom,( k2_xcmplx_0(12,30) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r318_r330,axiom,( k2_xcmplx_0(12,318) = 330 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r31_r43,axiom,( k2_xcmplx_0(12,31) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r322_r334,axiom,( k2_xcmplx_0(12,322) = 334 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r323_r335,axiom,( k2_xcmplx_0(12,323) = 335 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r32_r44,axiom,( k2_xcmplx_0(12,32) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r33_r45,axiom,( k2_xcmplx_0(12,33) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r348_r360,axiom,( k2_xcmplx_0(12,348) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r34_r46,axiom,( k2_xcmplx_0(12,34) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r358_r370,axiom,( k2_xcmplx_0(12,358) = 370 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r35_r47,axiom,( k2_xcmplx_0(12,35) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r36_r48,axiom,( k2_xcmplx_0(12,36) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r37_r49,axiom,( k2_xcmplx_0(12,37) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r388_r400,axiom,( k2_xcmplx_0(12,388) = 400 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r38_r50,axiom,( k2_xcmplx_0(12,38) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r392_r404,axiom,( k2_xcmplx_0(12,392) = 404 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r398_r410,axiom,( k2_xcmplx_0(12,398) = 410 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r39_r51,axiom,( k2_xcmplx_0(12,39) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r3_r15,axiom,( k2_xcmplx_0(12,3) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r40_r52,axiom,( k2_xcmplx_0(12,40) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r41_r53,axiom,( k2_xcmplx_0(12,41) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r42_r54,axiom,( k2_xcmplx_0(12,42) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r43_r55,axiom,( k2_xcmplx_0(12,43) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r440_r452,axiom,( k2_xcmplx_0(12,440) = 452 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r44_r56,axiom,( k2_xcmplx_0(12,44) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r45_r57,axiom,( k2_xcmplx_0(12,45) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r465_r477,axiom,( k2_xcmplx_0(12,465) = 477 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r46_r58,axiom,( k2_xcmplx_0(12,46) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r477_r489,axiom,( k2_xcmplx_0(12,477) = 489 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r47_r59,axiom,( k2_xcmplx_0(12,47) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r48_r60,axiom,( k2_xcmplx_0(12,48) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r49_r61,axiom,( k2_xcmplx_0(12,49) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r4_r16,axiom,( k2_xcmplx_0(12,4) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r50_r62,axiom,( k2_xcmplx_0(12,50) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r513_r525,axiom,( k2_xcmplx_0(12,513) = 525 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r516_r528,axiom,( k2_xcmplx_0(12,516) = 528 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r52_r64,axiom,( k2_xcmplx_0(12,52) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r539_r551,axiom,( k2_xcmplx_0(12,539) = 551 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r53_r65,axiom,( k2_xcmplx_0(12,53) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r54_r66,axiom,( k2_xcmplx_0(12,54) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r55_r67,axiom,( k2_xcmplx_0(12,55) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r564_r576,axiom,( k2_xcmplx_0(12,564) = 576 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r56_r68,axiom,( k2_xcmplx_0(12,56) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r57_r69,axiom,( k2_xcmplx_0(12,57) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r58_r70,axiom,( k2_xcmplx_0(12,58) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r5_r17,axiom,( k2_xcmplx_0(12,5) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r601_r613,axiom,( k2_xcmplx_0(12,601) = 613 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r60_r72,axiom,( k2_xcmplx_0(12,60) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r618_r630,axiom,( k2_xcmplx_0(12,618) = 630 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r61_r73,axiom,( k2_xcmplx_0(12,61) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r62_r74,axiom,( k2_xcmplx_0(12,62) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r634_r646,axiom,( k2_xcmplx_0(12,634) = 646 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r64_r76,axiom,( k2_xcmplx_0(12,64) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r659_r671,axiom,( k2_xcmplx_0(12,659) = 671 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r668_r680,axiom,( k2_xcmplx_0(12,668) = 680 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r66_r78,axiom,( k2_xcmplx_0(12,66) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r68_r80,axiom,( k2_xcmplx_0(12,68) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r69_r81,axiom,( k2_xcmplx_0(12,69) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r6_r18,axiom,( k2_xcmplx_0(12,6) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r708_r720,axiom,( k2_xcmplx_0(12,708) = 720 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r70_r82,axiom,( k2_xcmplx_0(12,70) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r71_r83,axiom,( k2_xcmplx_0(12,71) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r72_r84,axiom,( k2_xcmplx_0(12,72) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r73_r85,axiom,( k2_xcmplx_0(12,73) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r74_r86,axiom,( k2_xcmplx_0(12,74) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r76_r88,axiom,( k2_xcmplx_0(12,76) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r774_r786,axiom,( k2_xcmplx_0(12,774) = 786 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r77_r89,axiom,( k2_xcmplx_0(12,77) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r78_r90,axiom,( k2_xcmplx_0(12,78) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r7_r19,axiom,( k2_xcmplx_0(12,7) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r80_r92,axiom,( k2_xcmplx_0(12,80) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r816_r828,axiom,( k2_xcmplx_0(12,816) = 828 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r84_r96,axiom,( k2_xcmplx_0(12,84) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r85_r97,axiom,( k2_xcmplx_0(12,85) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r86_r98,axiom,( k2_xcmplx_0(12,86) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r87_r99,axiom,( k2_xcmplx_0(12,87) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r88_r100,axiom,( k2_xcmplx_0(12,88) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r8_r20,axiom,( k2_xcmplx_0(12,8) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r90_r102,axiom,( k2_xcmplx_0(12,90) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r93_r105,axiom,( k2_xcmplx_0(12,93) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r960_r972,axiom,( k2_xcmplx_0(12,960) = 972 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r96_r108,axiom,( k2_xcmplx_0(12,96) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r972_r984,axiom,( k2_xcmplx_0(12,972) = 984 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r99_r111,axiom,( k2_xcmplx_0(12,99) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r12_r9_r21,axiom,( k2_xcmplx_0(12,9) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm102_rm90,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(102)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm10_r2,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(10)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm11_r1,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(11)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm122_rm110,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(122)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm12_r0,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(12)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm135_rm123,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(135)) = k4_xcmplx_0(123) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm138_rm126,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(138)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm144_rm132,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(144)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm146_rm134,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(146)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm147_rm135,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(147)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm149_rm137,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(149)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm14_rm2,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(14)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm152_rm140,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(152)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm161_rm149,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(161)) = k4_xcmplx_0(149) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm163_rm151,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(163)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm16_rm4,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(16)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm172_rm160,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(172)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm18_rm6,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(18)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm19_rm7,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(19)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm1_r11,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(1)) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm21_rm9,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(21)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm22_rm10,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(22)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm24_rm12,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(24)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm28_rm16,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(28)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm2_r10,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(2)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm32_rm20,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(32)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm342_rm330,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(342)) = k4_xcmplx_0(330) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm34_rm22,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(34)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm3_r9,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(3)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm42_rm30,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(42)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm46_rm34,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(46)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm48_rm36,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(48)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm4_r8,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(4)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm52_rm40,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(52)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm56_rm44,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(56)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm5_r7,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(5)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm62_rm50,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(62)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm65_rm53,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(65)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm6_r6,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(6)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm7_r5,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(7)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm81_rm69,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(81)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm83_rm71,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(83)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm85_rm73,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(85)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm87_rm75,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(87)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm8_r4,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(8)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm98_rm86,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(98)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rm9_r3,axiom,( k2_xcmplx_0(12,k4_xcmplx_0(9)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r12_rn214d5_rn274d5,axiom,( k2_xcmplx_0(12,k7_xcmplx_0(214,5)) = k7_xcmplx_0(274,5) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rn29d5_rn89d5,axiom,( k2_xcmplx_0(12,k7_xcmplx_0(29,5)) = k7_xcmplx_0(89,5) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rn47d5_rn107d5,axiom,( k2_xcmplx_0(12,k7_xcmplx_0(47,5)) = k7_xcmplx_0(107,5) )).
fof(rqRealAdd__k2_xcmplx_0__r12_rn89d5_rn149d5,axiom,( k2_xcmplx_0(12,k7_xcmplx_0(89,5)) = k7_xcmplx_0(149,5) )).
fof(rqRealAdd__k2_xcmplx_0__r130_r66_r196,axiom,( k2_xcmplx_0(130,66) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r130_r9_r139,axiom,( k2_xcmplx_0(130,9) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r130_rm1_r129,axiom,( k2_xcmplx_0(130,k4_xcmplx_0(1)) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r131_r18_r149,axiom,( k2_xcmplx_0(131,18) = 149 )).
fof(rqRealAdd__k2_xcmplx_0__r132_r7_r139,axiom,( k2_xcmplx_0(132,7) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r133_r6_r139,axiom,( k2_xcmplx_0(133,6) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r135_r231_r366,axiom,( k2_xcmplx_0(135,231) = 366 )).
fof(rqRealAdd__k2_xcmplx_0__r135_r234_r369,axiom,( k2_xcmplx_0(135,234) = 369 )).
fof(rqRealAdd__k2_xcmplx_0__r135_r357_r492,axiom,( k2_xcmplx_0(135,357) = 492 )).
fof(rqRealAdd__k2_xcmplx_0__r135_r365_r500,axiom,( k2_xcmplx_0(135,365) = 500 )).
fof(rqRealAdd__k2_xcmplx_0__r135_r447_r582,axiom,( k2_xcmplx_0(135,447) = 582 )).
fof(rqRealAdd__k2_xcmplx_0__r135_r4_r139,axiom,( k2_xcmplx_0(135,4) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r135_r689_r824,axiom,( k2_xcmplx_0(135,689) = 824 )).
fof(rqRealAdd__k2_xcmplx_0__r136_r3_r139,axiom,( k2_xcmplx_0(136,3) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r138_r1_r139,axiom,( k2_xcmplx_0(138,1) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r139_r72_r211,axiom,( k2_xcmplx_0(139,72) = 211 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r110_r123,axiom,( k2_xcmplx_0(13,110) = 123 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r133_r146,axiom,( k2_xcmplx_0(13,133) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r139_r152,axiom,( k2_xcmplx_0(13,139) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r13_r26,axiom,( k2_xcmplx_0(13,13) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r14_r27,axiom,( k2_xcmplx_0(13,14) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r15_r28,axiom,( k2_xcmplx_0(13,15) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r163_r176,axiom,( k2_xcmplx_0(13,163) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r16_r29,axiom,( k2_xcmplx_0(13,16) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r176_r189,axiom,( k2_xcmplx_0(13,176) = 189 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r17_r30,axiom,( k2_xcmplx_0(13,17) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r183_r196,axiom,( k2_xcmplx_0(13,183) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r1_r14,axiom,( k2_xcmplx_0(13,1) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r21_r34,axiom,( k2_xcmplx_0(13,21) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r232_r245,axiom,( k2_xcmplx_0(13,232) = 245 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r23_r36,axiom,( k2_xcmplx_0(13,23) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r26_r39,axiom,( k2_xcmplx_0(13,26) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r29_r42,axiom,( k2_xcmplx_0(13,29) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r2_r15,axiom,( k2_xcmplx_0(13,2) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r304_r317,axiom,( k2_xcmplx_0(13,304) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r30_r43,axiom,( k2_xcmplx_0(13,30) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r32_r45,axiom,( k2_xcmplx_0(13,32) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r34_r47,axiom,( k2_xcmplx_0(13,34) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r36_r49,axiom,( k2_xcmplx_0(13,36) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r42_r55,axiom,( k2_xcmplx_0(13,42) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r46_r59,axiom,( k2_xcmplx_0(13,46) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r48_r61,axiom,( k2_xcmplx_0(13,48) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r54_r67,axiom,( k2_xcmplx_0(13,54) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r59_r72,axiom,( k2_xcmplx_0(13,59) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r60_r73,axiom,( k2_xcmplx_0(13,60) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r61_r74,axiom,( k2_xcmplx_0(13,61) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r62_r75,axiom,( k2_xcmplx_0(13,62) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r64_r77,axiom,( k2_xcmplx_0(13,64) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r67_r80,axiom,( k2_xcmplx_0(13,67) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r76_r89,axiom,( k2_xcmplx_0(13,76) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r78_r91,axiom,( k2_xcmplx_0(13,78) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r7_r20,axiom,( k2_xcmplx_0(13,7) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r83_r96,axiom,( k2_xcmplx_0(13,83) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r8_r21,axiom,( k2_xcmplx_0(13,8) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r93_r106,axiom,( k2_xcmplx_0(13,93) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r94_r107,axiom,( k2_xcmplx_0(13,94) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r13_r97_r110,axiom,( k2_xcmplx_0(13,97) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm10_r3,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(10)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm12_r1,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(12)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm13_r0,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(13)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm15_rm2,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(15)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm16_rm3,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(16)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm17_rm4,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(17)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm1_r12,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(1)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm233_rm220,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(233)) = k4_xcmplx_0(220) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm24_rm11,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(24)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm29_rm16,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(29)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm2_r11,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(2)) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm31_rm18,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(31)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm33_rm20,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(33)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm35_rm22,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(35)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm37_rm24,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(37)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm38_rm25,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(38)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm39_rm26,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(39)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm3_r10,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(3)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm4_r9,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(4)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm51_rm38,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(51)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm57_rm44,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(57)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm5_r8,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(5)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm6_r7,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(6)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm8_r5,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(8)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r13_rm9_r4,axiom,( k2_xcmplx_0(13,k4_xcmplx_0(9)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r140_r1_r141,axiom,( k2_xcmplx_0(140,1) = 141 )).
fof(rqRealAdd__k2_xcmplx_0__r140_r24_r164,axiom,( k2_xcmplx_0(140,24) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__r140_r94_r234,axiom,( k2_xcmplx_0(140,94) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r140_r96_r236,axiom,( k2_xcmplx_0(140,96) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r140_rm333_rm193,axiom,( k2_xcmplx_0(140,k4_xcmplx_0(333)) = k4_xcmplx_0(193) )).
fof(rqRealAdd__k2_xcmplx_0__r140_rm6_r134,axiom,( k2_xcmplx_0(140,k4_xcmplx_0(6)) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r104_r248,axiom,( k2_xcmplx_0(144,104) = 248 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r108_r252,axiom,( k2_xcmplx_0(144,108) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r114_r258,axiom,( k2_xcmplx_0(144,114) = 258 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r128_r272,axiom,( k2_xcmplx_0(144,128) = 272 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r12_r156,axiom,( k2_xcmplx_0(144,12) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r136_r280,axiom,( k2_xcmplx_0(144,136) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r140_r284,axiom,( k2_xcmplx_0(144,140) = 284 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r148_r292,axiom,( k2_xcmplx_0(144,148) = 292 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r156_r300,axiom,( k2_xcmplx_0(144,156) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r159_r303,axiom,( k2_xcmplx_0(144,159) = 303 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r168_r312,axiom,( k2_xcmplx_0(144,168) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r176_r320,axiom,( k2_xcmplx_0(144,176) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r180_r324,axiom,( k2_xcmplx_0(144,180) = 324 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r18_r162,axiom,( k2_xcmplx_0(144,18) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r198_r342,axiom,( k2_xcmplx_0(144,198) = 342 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r228_r372,axiom,( k2_xcmplx_0(144,228) = 372 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r240_r384,axiom,( k2_xcmplx_0(144,240) = 384 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r256_r400,axiom,( k2_xcmplx_0(144,256) = 400 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r302_r446,axiom,( k2_xcmplx_0(144,302) = 446 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r308_r452,axiom,( k2_xcmplx_0(144,308) = 452 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r318_r462,axiom,( k2_xcmplx_0(144,318) = 462 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r32_r176,axiom,( k2_xcmplx_0(144,32) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r336_r480,axiom,( k2_xcmplx_0(144,336) = 480 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r36_r180,axiom,( k2_xcmplx_0(144,36) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r390_r534,axiom,( k2_xcmplx_0(144,390) = 534 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r394_r538,axiom,( k2_xcmplx_0(144,394) = 538 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r456_r600,axiom,( k2_xcmplx_0(144,456) = 600 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r474_r618,axiom,( k2_xcmplx_0(144,474) = 618 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r48_r192,axiom,( k2_xcmplx_0(144,48) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r514_r658,axiom,( k2_xcmplx_0(144,514) = 658 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r520_r664,axiom,( k2_xcmplx_0(144,520) = 664 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r544_r688,axiom,( k2_xcmplx_0(144,544) = 688 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r548_r692,axiom,( k2_xcmplx_0(144,548) = 692 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r576_r720,axiom,( k2_xcmplx_0(144,576) = 720 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r625_r769,axiom,( k2_xcmplx_0(144,625) = 769 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r720_r864,axiom,( k2_xcmplx_0(144,720) = 864 )).
fof(rqRealAdd__k2_xcmplx_0__r144_r72_r216,axiom,( k2_xcmplx_0(144,72) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r144_rm6_r138,axiom,( k2_xcmplx_0(144,k4_xcmplx_0(6)) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r104_r118,axiom,( k2_xcmplx_0(14,104) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r10_r24,axiom,( k2_xcmplx_0(14,10) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r118_r132,axiom,( k2_xcmplx_0(14,118) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r11_r25,axiom,( k2_xcmplx_0(14,11) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r121_r135,axiom,( k2_xcmplx_0(14,121) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r126_r140,axiom,( k2_xcmplx_0(14,126) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r129_r143,axiom,( k2_xcmplx_0(14,129) = 143 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r12_r26,axiom,( k2_xcmplx_0(14,12) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r141_r155,axiom,( k2_xcmplx_0(14,141) = 155 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r14_r28,axiom,( k2_xcmplx_0(14,14) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r156_r170,axiom,( k2_xcmplx_0(14,156) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r16_r30,axiom,( k2_xcmplx_0(14,16) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r178_r192,axiom,( k2_xcmplx_0(14,178) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r17_r31,axiom,( k2_xcmplx_0(14,17) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r189_r203,axiom,( k2_xcmplx_0(14,189) = 203 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r18_r32,axiom,( k2_xcmplx_0(14,18) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r1_r15,axiom,( k2_xcmplx_0(14,1) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r213_r227,axiom,( k2_xcmplx_0(14,213) = 227 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r216_r230,axiom,( k2_xcmplx_0(14,216) = 230 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r21_r35,axiom,( k2_xcmplx_0(14,21) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r23_r37,axiom,( k2_xcmplx_0(14,23) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r241_r255,axiom,( k2_xcmplx_0(14,241) = 255 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r26_r40,axiom,( k2_xcmplx_0(14,26) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r28_r42,axiom,( k2_xcmplx_0(14,28) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r2_r16,axiom,( k2_xcmplx_0(14,2) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r30_r44,axiom,( k2_xcmplx_0(14,30) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r31_r45,axiom,( k2_xcmplx_0(14,31) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r32_r46,axiom,( k2_xcmplx_0(14,32) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r36_r50,axiom,( k2_xcmplx_0(14,36) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r37_r51,axiom,( k2_xcmplx_0(14,37) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r3_r17,axiom,( k2_xcmplx_0(14,3) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r418_r432,axiom,( k2_xcmplx_0(14,418) = 432 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r42_r56,axiom,( k2_xcmplx_0(14,42) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r43_r57,axiom,( k2_xcmplx_0(14,43) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r45_r59,axiom,( k2_xcmplx_0(14,45) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r482_r496,axiom,( k2_xcmplx_0(14,482) = 496 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r4_r18,axiom,( k2_xcmplx_0(14,4) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r525_r539,axiom,( k2_xcmplx_0(14,525) = 539 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r536_r550,axiom,( k2_xcmplx_0(14,536) = 550 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r54_r68,axiom,( k2_xcmplx_0(14,54) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r57_r71,axiom,( k2_xcmplx_0(14,57) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r5_r19,axiom,( k2_xcmplx_0(14,5) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r684_r698,axiom,( k2_xcmplx_0(14,684) = 698 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r69_r83,axiom,( k2_xcmplx_0(14,69) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r6_r20,axiom,( k2_xcmplx_0(14,6) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r76_r90,axiom,( k2_xcmplx_0(14,76) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r78_r92,axiom,( k2_xcmplx_0(14,78) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r80_r94,axiom,( k2_xcmplx_0(14,80) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r81_r95,axiom,( k2_xcmplx_0(14,81) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r86_r100,axiom,( k2_xcmplx_0(14,86) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r8_r22,axiom,( k2_xcmplx_0(14,8) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r90_r104,axiom,( k2_xcmplx_0(14,90) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r92_r106,axiom,( k2_xcmplx_0(14,92) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r14_r94_r108,axiom,( k2_xcmplx_0(14,94) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm11_r3,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(11)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm12_r2,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(12)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm132_rm118,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(132)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm13_r1,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(13)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm14_r0,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(14)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm16_rm2,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(16)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm17_rm3,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(17)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm18_rm4,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(18)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm1_r13,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(1)) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm22_rm8,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(22)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm24_rm10,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(24)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm269_rm255,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(269)) = k4_xcmplx_0(255) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm27_rm13,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(27)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm28_rm14,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(28)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm2_r12,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(2)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm303_rm289,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(303)) = k4_xcmplx_0(289) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm30_rm16,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(30)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm34_rm20,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(34)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm36_rm22,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(36)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm3_r11,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(3)) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm44_rm30,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(44)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm4_r10,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(4)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm5_r9,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(5)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm6_r8,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(6)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm7_r7,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(7)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm8_r6,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(8)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r14_rm9_r5,axiom,( k2_xcmplx_0(14,k4_xcmplx_0(9)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r150_r100_r250,axiom,( k2_xcmplx_0(150,100) = 250 )).
fof(rqRealAdd__k2_xcmplx_0__r152_r11_r163,axiom,( k2_xcmplx_0(152,11) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r153_r10_r163,axiom,( k2_xcmplx_0(153,10) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r154_r9_r163,axiom,( k2_xcmplx_0(154,9) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r156_r54_r210,axiom,( k2_xcmplx_0(156,54) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r156_r7_r163,axiom,( k2_xcmplx_0(156,7) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r0_r15,axiom,( k2_xcmplx_0(15,0) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r103_r118,axiom,( k2_xcmplx_0(15,103) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r106_r121,axiom,( k2_xcmplx_0(15,106) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r10_r25,axiom,( k2_xcmplx_0(15,10) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r112_r127,axiom,( k2_xcmplx_0(15,112) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r118_r133,axiom,( k2_xcmplx_0(15,118) = 133 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r119_r134,axiom,( k2_xcmplx_0(15,119) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r122_r137,axiom,( k2_xcmplx_0(15,122) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r125_r140,axiom,( k2_xcmplx_0(15,125) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r12_r27,axiom,( k2_xcmplx_0(15,12) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r130_r145,axiom,( k2_xcmplx_0(15,130) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r131_r146,axiom,( k2_xcmplx_0(15,131) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r135_r150,axiom,( k2_xcmplx_0(15,135) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r13_r28,axiom,( k2_xcmplx_0(15,13) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r143_r158,axiom,( k2_xcmplx_0(15,143) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r14_r29,axiom,( k2_xcmplx_0(15,14) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r15_r30,axiom,( k2_xcmplx_0(15,15) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r166_r181,axiom,( k2_xcmplx_0(15,166) = 181 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r16_r31,axiom,( k2_xcmplx_0(15,16) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r171_r186,axiom,( k2_xcmplx_0(15,171) = 186 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r17_r32,axiom,( k2_xcmplx_0(15,17) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r183_r198,axiom,( k2_xcmplx_0(15,183) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r18_r33,axiom,( k2_xcmplx_0(15,18) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r196_r211,axiom,( k2_xcmplx_0(15,196) = 211 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r19_r34,axiom,( k2_xcmplx_0(15,19) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r1_r16,axiom,( k2_xcmplx_0(15,1) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r20_r35,axiom,( k2_xcmplx_0(15,20) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r210_r225,axiom,( k2_xcmplx_0(15,210) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r21_r36,axiom,( k2_xcmplx_0(15,21) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r245_r260,axiom,( k2_xcmplx_0(15,245) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r26_r41,axiom,( k2_xcmplx_0(15,26) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r2_r17,axiom,( k2_xcmplx_0(15,2) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r306_r321,axiom,( k2_xcmplx_0(15,306) = 321 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r30_r45,axiom,( k2_xcmplx_0(15,30) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r319_r334,axiom,( k2_xcmplx_0(15,319) = 334 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r321_r336,axiom,( k2_xcmplx_0(15,321) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r32_r47,axiom,( k2_xcmplx_0(15,32) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r33_r48,axiom,( k2_xcmplx_0(15,33) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r34_r49,axiom,( k2_xcmplx_0(15,34) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r353_r368,axiom,( k2_xcmplx_0(15,353) = 368 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r37_r52,axiom,( k2_xcmplx_0(15,37) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r383_r398,axiom,( k2_xcmplx_0(15,383) = 398 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r38_r53,axiom,( k2_xcmplx_0(15,38) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r39_r54,axiom,( k2_xcmplx_0(15,39) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r3_r18,axiom,( k2_xcmplx_0(15,3) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r412_r427,axiom,( k2_xcmplx_0(15,412) = 427 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r45_r60,axiom,( k2_xcmplx_0(15,45) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r46_r61,axiom,( k2_xcmplx_0(15,46) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r4_r19,axiom,( k2_xcmplx_0(15,4) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r52_r67,axiom,( k2_xcmplx_0(15,52) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r558_r573,axiom,( k2_xcmplx_0(15,558) = 573 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r55_r70,axiom,( k2_xcmplx_0(15,55) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r58_r73,axiom,( k2_xcmplx_0(15,58) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r639_r654,axiom,( k2_xcmplx_0(15,639) = 654 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r65_r80,axiom,( k2_xcmplx_0(15,65) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r67_r82,axiom,( k2_xcmplx_0(15,67) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r68_r83,axiom,( k2_xcmplx_0(15,68) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r6_r21,axiom,( k2_xcmplx_0(15,6) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r79_r94,axiom,( k2_xcmplx_0(15,79) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r7_r22,axiom,( k2_xcmplx_0(15,7) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r84_r99,axiom,( k2_xcmplx_0(15,84) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r93_r108,axiom,( k2_xcmplx_0(15,93) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r95_r110,axiom,( k2_xcmplx_0(15,95) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r15_r9_r24,axiom,( k2_xcmplx_0(15,9) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm14_r1,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(14)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm15_r0,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(15)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm16_rm1,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(16)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm17_rm2,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(17)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm18_rm3,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(18)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm1_r14,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(1)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm24_rm9,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(24)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm2_r13,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(2)) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm31_rm16,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(31)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm35_rm20,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(35)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm38_rm23,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(38)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm4_r11,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(4)) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm54_rm39,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(54)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm5_r10,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(5)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r15_rm6_r9,axiom,( k2_xcmplx_0(15,k4_xcmplx_0(6)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r160_r256_r416,axiom,( k2_xcmplx_0(160,256) = 416 )).
fof(rqRealAdd__k2_xcmplx_0__r160_r3_r163,axiom,( k2_xcmplx_0(160,3) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r160_r40_r200,axiom,( k2_xcmplx_0(160,40) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r160_r70_r230,axiom,( k2_xcmplx_0(160,70) = 230 )).
fof(rqRealAdd__k2_xcmplx_0__r160_rm1_r159,axiom,( k2_xcmplx_0(160,k4_xcmplx_0(1)) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__r161_r2_r163,axiom,( k2_xcmplx_0(161,2) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r114_r276,axiom,( k2_xcmplx_0(162,114) = 276 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r1_r163,axiom,( k2_xcmplx_0(162,1) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r249_r411,axiom,( k2_xcmplx_0(162,249) = 411 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r260_r422,axiom,( k2_xcmplx_0(162,260) = 422 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r278_r440,axiom,( k2_xcmplx_0(162,278) = 440 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r342_r504,axiom,( k2_xcmplx_0(162,342) = 504 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r354_r516,axiom,( k2_xcmplx_0(162,354) = 516 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r440_r602,axiom,( k2_xcmplx_0(162,440) = 602 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r492_r654,axiom,( k2_xcmplx_0(162,492) = 654 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r49_r211,axiom,( k2_xcmplx_0(162,49) = 211 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r500_r662,axiom,( k2_xcmplx_0(162,500) = 662 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r615_r777,axiom,( k2_xcmplx_0(162,615) = 777 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r824_r986,axiom,( k2_xcmplx_0(162,824) = 986 )).
fof(rqRealAdd__k2_xcmplx_0__r162_r98_r260,axiom,( k2_xcmplx_0(162,98) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__r164_r72_r236,axiom,( k2_xcmplx_0(164,72) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r166_r453_r619,axiom,( k2_xcmplx_0(166,453) = 619 )).
fof(rqRealAdd__k2_xcmplx_0__r166_r4_r170,axiom,( k2_xcmplx_0(166,4) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r168_rm143_r25,axiom,( k2_xcmplx_0(168,k4_xcmplx_0(143)) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r168_rm246_rm78,axiom,( k2_xcmplx_0(168,k4_xcmplx_0(246)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__r168_rm28_r140,axiom,( k2_xcmplx_0(168,k4_xcmplx_0(28)) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r168_rm429_rm261,axiom,( k2_xcmplx_0(168,k4_xcmplx_0(429)) = k4_xcmplx_0(261) )).
fof(rqRealAdd__k2_xcmplx_0__r168_rm48_r120,axiom,( k2_xcmplx_0(168,k4_xcmplx_0(48)) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r168_rm738_rm570,axiom,( k2_xcmplx_0(168,k4_xcmplx_0(738)) = k4_xcmplx_0(570) )).
fof(rqRealAdd__k2_xcmplx_0__r169_rm114_r55,axiom,( k2_xcmplx_0(169,k4_xcmplx_0(114)) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r169_rm116_r53,axiom,( k2_xcmplx_0(169,k4_xcmplx_0(116)) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r0_r16,axiom,( k2_xcmplx_0(16,0) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r100_r116,axiom,( k2_xcmplx_0(16,100) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r102_r118,axiom,( k2_xcmplx_0(16,102) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r104_r120,axiom,( k2_xcmplx_0(16,104) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r106_r122,axiom,( k2_xcmplx_0(16,106) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r107_r123,axiom,( k2_xcmplx_0(16,107) = 123 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r108_r124,axiom,( k2_xcmplx_0(16,108) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r10_r26,axiom,( k2_xcmplx_0(16,10) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r110_r126,axiom,( k2_xcmplx_0(16,110) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r114_r130,axiom,( k2_xcmplx_0(16,114) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r11_r27,axiom,( k2_xcmplx_0(16,11) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r120_r136,axiom,( k2_xcmplx_0(16,120) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r121_r137,axiom,( k2_xcmplx_0(16,121) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r123_r139,axiom,( k2_xcmplx_0(16,123) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r124_r140,axiom,( k2_xcmplx_0(16,124) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r127_r143,axiom,( k2_xcmplx_0(16,127) = 143 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r128_r144,axiom,( k2_xcmplx_0(16,128) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r12_r28,axiom,( k2_xcmplx_0(16,12) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r132_r148,axiom,( k2_xcmplx_0(16,132) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r134_r150,axiom,( k2_xcmplx_0(16,134) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r137_r153,axiom,( k2_xcmplx_0(16,137) = 153 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r13_r29,axiom,( k2_xcmplx_0(16,13) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r14_r30,axiom,( k2_xcmplx_0(16,14) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r154_r170,axiom,( k2_xcmplx_0(16,154) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r156_r172,axiom,( k2_xcmplx_0(16,156) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r15_r31,axiom,( k2_xcmplx_0(16,15) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r160_r176,axiom,( k2_xcmplx_0(16,160) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r164_r180,axiom,( k2_xcmplx_0(16,164) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r166_r182,axiom,( k2_xcmplx_0(16,166) = 182 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r16_r32,axiom,( k2_xcmplx_0(16,16) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r180_r196,axiom,( k2_xcmplx_0(16,180) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r190_r206,axiom,( k2_xcmplx_0(16,190) = 206 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r194_r210,axiom,( k2_xcmplx_0(16,194) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r196_r212,axiom,( k2_xcmplx_0(16,196) = 212 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r19_r35,axiom,( k2_xcmplx_0(16,19) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r1_r17,axiom,( k2_xcmplx_0(16,1) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r200_r216,axiom,( k2_xcmplx_0(16,200) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r208_r224,axiom,( k2_xcmplx_0(16,208) = 224 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r20_r36,axiom,( k2_xcmplx_0(16,20) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r210_r226,axiom,( k2_xcmplx_0(16,210) = 226 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r216_r232,axiom,( k2_xcmplx_0(16,216) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r21_r37,axiom,( k2_xcmplx_0(16,21) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r22_r38,axiom,( k2_xcmplx_0(16,22) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r236_r252,axiom,( k2_xcmplx_0(16,236) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r238_r254,axiom,( k2_xcmplx_0(16,238) = 254 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r23_r39,axiom,( k2_xcmplx_0(16,23) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r248_r264,axiom,( k2_xcmplx_0(16,248) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r24_r40,axiom,( k2_xcmplx_0(16,24) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r254_r270,axiom,( k2_xcmplx_0(16,254) = 270 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r26_r42,axiom,( k2_xcmplx_0(16,26) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r272_r288,axiom,( k2_xcmplx_0(16,272) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r277_r293,axiom,( k2_xcmplx_0(16,277) = 293 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r27_r43,axiom,( k2_xcmplx_0(16,27) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r286_r302,axiom,( k2_xcmplx_0(16,286) = 302 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r28_r44,axiom,( k2_xcmplx_0(16,28) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r29_r45,axiom,( k2_xcmplx_0(16,29) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r2_r18,axiom,( k2_xcmplx_0(16,2) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r306_r322,axiom,( k2_xcmplx_0(16,306) = 322 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r308_r324,axiom,( k2_xcmplx_0(16,308) = 324 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r30_r46,axiom,( k2_xcmplx_0(16,30) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r314_r330,axiom,( k2_xcmplx_0(16,314) = 330 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r316_r332,axiom,( k2_xcmplx_0(16,316) = 332 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r318_r334,axiom,( k2_xcmplx_0(16,318) = 334 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r31_r47,axiom,( k2_xcmplx_0(16,31) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r320_r336,axiom,( k2_xcmplx_0(16,320) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r32_r48,axiom,( k2_xcmplx_0(16,32) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r33_r49,axiom,( k2_xcmplx_0(16,33) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r346_r362,axiom,( k2_xcmplx_0(16,346) = 362 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r34_r50,axiom,( k2_xcmplx_0(16,34) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r352_r368,axiom,( k2_xcmplx_0(16,352) = 368 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r358_r374,axiom,( k2_xcmplx_0(16,358) = 374 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r369_r385,axiom,( k2_xcmplx_0(16,369) = 385 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r36_r52,axiom,( k2_xcmplx_0(16,36) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r384_r400,axiom,( k2_xcmplx_0(16,384) = 400 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r388_r404,axiom,( k2_xcmplx_0(16,388) = 404 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r38_r54,axiom,( k2_xcmplx_0(16,38) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r390_r406,axiom,( k2_xcmplx_0(16,390) = 406 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r392_r408,axiom,( k2_xcmplx_0(16,392) = 408 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r3_r19,axiom,( k2_xcmplx_0(16,3) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r402_r418,axiom,( k2_xcmplx_0(16,402) = 418 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r40_r56,axiom,( k2_xcmplx_0(16,40) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r416_r432,axiom,( k2_xcmplx_0(16,416) = 432 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r41_r57,axiom,( k2_xcmplx_0(16,41) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r430_r446,axiom,( k2_xcmplx_0(16,430) = 446 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r432_r448,axiom,( k2_xcmplx_0(16,432) = 448 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r44_r60,axiom,( k2_xcmplx_0(16,44) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r451_r467,axiom,( k2_xcmplx_0(16,451) = 467 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r45_r61,axiom,( k2_xcmplx_0(16,45) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r46_r62,axiom,( k2_xcmplx_0(16,46) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r48_r64,axiom,( k2_xcmplx_0(16,48) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r49_r65,axiom,( k2_xcmplx_0(16,49) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r4_r20,axiom,( k2_xcmplx_0(16,4) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r503_r519,axiom,( k2_xcmplx_0(16,503) = 519 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r50_r66,axiom,( k2_xcmplx_0(16,50) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r51_r67,axiom,( k2_xcmplx_0(16,51) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r52_r68,axiom,( k2_xcmplx_0(16,52) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r53_r69,axiom,( k2_xcmplx_0(16,53) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r54_r70,axiom,( k2_xcmplx_0(16,54) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r55_r71,axiom,( k2_xcmplx_0(16,55) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r57_r73,axiom,( k2_xcmplx_0(16,57) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r58_r74,axiom,( k2_xcmplx_0(16,58) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r5_r21,axiom,( k2_xcmplx_0(16,5) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r606_r622,axiom,( k2_xcmplx_0(16,606) = 622 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r608_r624,axiom,( k2_xcmplx_0(16,608) = 624 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r625_r641,axiom,( k2_xcmplx_0(16,625) = 641 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r62_r78,axiom,( k2_xcmplx_0(16,62) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r64_r80,axiom,( k2_xcmplx_0(16,64) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r65_r81,axiom,( k2_xcmplx_0(16,65) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r66_r82,axiom,( k2_xcmplx_0(16,66) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r67_r83,axiom,( k2_xcmplx_0(16,67) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r68_r84,axiom,( k2_xcmplx_0(16,68) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r6_r22,axiom,( k2_xcmplx_0(16,6) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r70_r86,axiom,( k2_xcmplx_0(16,70) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r72_r88,axiom,( k2_xcmplx_0(16,72) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r775_r791,axiom,( k2_xcmplx_0(16,775) = 791 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r77_r93,axiom,( k2_xcmplx_0(16,77) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r78_r94,axiom,( k2_xcmplx_0(16,78) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r79_r95,axiom,( k2_xcmplx_0(16,79) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r7_r23,axiom,( k2_xcmplx_0(16,7) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r80_r96,axiom,( k2_xcmplx_0(16,80) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r82_r98,axiom,( k2_xcmplx_0(16,82) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r84_r100,axiom,( k2_xcmplx_0(16,84) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r85_r101,axiom,( k2_xcmplx_0(16,85) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r87_r103,axiom,( k2_xcmplx_0(16,87) = 103 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r88_r104,axiom,( k2_xcmplx_0(16,88) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r8_r24,axiom,( k2_xcmplx_0(16,8) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r91_r107,axiom,( k2_xcmplx_0(16,91) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r94_r110,axiom,( k2_xcmplx_0(16,94) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r96_r112,axiom,( k2_xcmplx_0(16,96) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r16_r9_r25,axiom,( k2_xcmplx_0(16,9) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm10_r6,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(10)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm110_rm94,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(110)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm11_r5,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(11)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm120_rm104,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(120)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm122_rm106,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(122)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm126_rm110,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(126)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm12_r4,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(12)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm130_rm114,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(130)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm139_rm123,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(139)) = k4_xcmplx_0(123) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm140_rm124,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(140)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm14_r2,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(14)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm15_r1,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(15)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm168_rm152,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(168)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm16_r0,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(16)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm17_rm1,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(17)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm18_rm2,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(18)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm1_r15,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(1)) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm20_rm4,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(20)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm228_rm212,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(228)) = k4_xcmplx_0(212) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm24_rm8,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(24)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm26_rm10,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(26)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm2_r14,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(2)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm32_rm16,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(32)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm38_rm22,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(38)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm40_rm24,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(40)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm414_rm398,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(414)) = k4_xcmplx_0(398) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm41_rm25,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(41)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm42_rm26,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(42)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm48_rm32,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(48)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm4_r12,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(4)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm68_rm52,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(68)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm6_r10,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(6)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm82_rm66,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(82)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm83_rm67,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(83)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm88_rm72,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(88)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm8_r8,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(8)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rm9_r7,axiom,( k2_xcmplx_0(16,k4_xcmplx_0(9)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r16_rn17d2_rn49d2,axiom,( k2_xcmplx_0(16,k7_xcmplx_0(17,2)) = k7_xcmplx_0(49,2) )).
fof(rqRealAdd__k2_xcmplx_0__r171_r54_r225,axiom,( k2_xcmplx_0(171,54) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r177_r54_r231,axiom,( k2_xcmplx_0(177,54) = 231 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r12_r29,axiom,( k2_xcmplx_0(17,12) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r14_r31,axiom,( k2_xcmplx_0(17,14) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r18_r35,axiom,( k2_xcmplx_0(17,18) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r1_r18,axiom,( k2_xcmplx_0(17,1) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r32_r49,axiom,( k2_xcmplx_0(17,32) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r44_r61,axiom,( k2_xcmplx_0(17,44) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r4_r21,axiom,( k2_xcmplx_0(17,4) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r64_r81,axiom,( k2_xcmplx_0(17,64) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r6_r23,axiom,( k2_xcmplx_0(17,6) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r17_r9_r26,axiom,( k2_xcmplx_0(17,9) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r17_rm10_r7,axiom,( k2_xcmplx_0(17,k4_xcmplx_0(10)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r17_rm17_r0,axiom,( k2_xcmplx_0(17,k4_xcmplx_0(17)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r17_rm1_r16,axiom,( k2_xcmplx_0(17,k4_xcmplx_0(1)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r17_rm22_rm5,axiom,( k2_xcmplx_0(17,k4_xcmplx_0(22)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r17_rm25_rm8,axiom,( k2_xcmplx_0(17,k4_xcmplx_0(25)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r17_rm4_r13,axiom,( k2_xcmplx_0(17,k4_xcmplx_0(4)) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r17_rm5_r12,axiom,( k2_xcmplx_0(17,k4_xcmplx_0(5)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r182_r124_r306,axiom,( k2_xcmplx_0(182,124) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__r182_r152_r334,axiom,( k2_xcmplx_0(182,152) = 334 )).
fof(rqRealAdd__k2_xcmplx_0__r183_rm183_r0,axiom,( k2_xcmplx_0(183,k4_xcmplx_0(183)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r184_rm636_rm452,axiom,( k2_xcmplx_0(184,k4_xcmplx_0(636)) = k4_xcmplx_0(452) )).
fof(rqRealAdd__k2_xcmplx_0__r185_r487_r672,axiom,( k2_xcmplx_0(185,487) = 672 )).
fof(rqRealAdd__k2_xcmplx_0__r186_r9_r195,axiom,( k2_xcmplx_0(186,9) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r100_r118,axiom,( k2_xcmplx_0(18,100) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r108_r126,axiom,( k2_xcmplx_0(18,108) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r10_r28,axiom,( k2_xcmplx_0(18,10) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r110_r128,axiom,( k2_xcmplx_0(18,110) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r112_r130,axiom,( k2_xcmplx_0(18,112) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r114_r132,axiom,( k2_xcmplx_0(18,114) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r116_r134,axiom,( k2_xcmplx_0(18,116) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r119_r137,axiom,( k2_xcmplx_0(18,119) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r11_r29,axiom,( k2_xcmplx_0(18,11) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r120_r138,axiom,( k2_xcmplx_0(18,120) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r122_r140,axiom,( k2_xcmplx_0(18,122) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r126_r144,axiom,( k2_xcmplx_0(18,126) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r127_r145,axiom,( k2_xcmplx_0(18,127) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r12_r30,axiom,( k2_xcmplx_0(18,12) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r132_r150,axiom,( k2_xcmplx_0(18,132) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r135_r153,axiom,( k2_xcmplx_0(18,135) = 153 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r138_r156,axiom,( k2_xcmplx_0(18,138) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r13_r31,axiom,( k2_xcmplx_0(18,13) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r140_r158,axiom,( k2_xcmplx_0(18,140) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r142_r160,axiom,( k2_xcmplx_0(18,142) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r144_r162,axiom,( k2_xcmplx_0(18,144) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r149_r167,axiom,( k2_xcmplx_0(18,149) = 167 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r14_r32,axiom,( k2_xcmplx_0(18,14) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r152_r170,axiom,( k2_xcmplx_0(18,152) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r153_r171,axiom,( k2_xcmplx_0(18,153) = 171 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r158_r176,axiom,( k2_xcmplx_0(18,158) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r15_r33,axiom,( k2_xcmplx_0(18,15) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r160_r178,axiom,( k2_xcmplx_0(18,160) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r162_r180,axiom,( k2_xcmplx_0(18,162) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r165_r183,axiom,( k2_xcmplx_0(18,165) = 183 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r167_r185,axiom,( k2_xcmplx_0(18,167) = 185 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r168_r186,axiom,( k2_xcmplx_0(18,168) = 186 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r169_r187,axiom,( k2_xcmplx_0(18,169) = 187 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r16_r34,axiom,( k2_xcmplx_0(18,16) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r171_r189,axiom,( k2_xcmplx_0(18,171) = 189 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r176_r194,axiom,( k2_xcmplx_0(18,176) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r17_r35,axiom,( k2_xcmplx_0(18,17) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r180_r198,axiom,( k2_xcmplx_0(18,180) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r184_r202,axiom,( k2_xcmplx_0(18,184) = 202 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r189_r207,axiom,( k2_xcmplx_0(18,189) = 207 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r18_r36,axiom,( k2_xcmplx_0(18,18) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r192_r210,axiom,( k2_xcmplx_0(18,192) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r198_r216,axiom,( k2_xcmplx_0(18,198) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r199_r217,axiom,( k2_xcmplx_0(18,199) = 217 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r19_r37,axiom,( k2_xcmplx_0(18,19) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r1_r19,axiom,( k2_xcmplx_0(18,1) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r202_r220,axiom,( k2_xcmplx_0(18,202) = 220 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r205_r223,axiom,( k2_xcmplx_0(18,205) = 223 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r20_r38,axiom,( k2_xcmplx_0(18,20) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r216_r234,axiom,( k2_xcmplx_0(18,216) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r217_r235,axiom,( k2_xcmplx_0(18,217) = 235 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r21_r39,axiom,( k2_xcmplx_0(18,21) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r221_r239,axiom,( k2_xcmplx_0(18,221) = 239 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r222_r240,axiom,( k2_xcmplx_0(18,222) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r223_r241,axiom,( k2_xcmplx_0(18,223) = 241 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r225_r243,axiom,( k2_xcmplx_0(18,225) = 243 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r227_r245,axiom,( k2_xcmplx_0(18,227) = 245 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r228_r246,axiom,( k2_xcmplx_0(18,228) = 246 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r22_r40,axiom,( k2_xcmplx_0(18,22) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r231_r249,axiom,( k2_xcmplx_0(18,231) = 249 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r234_r252,axiom,( k2_xcmplx_0(18,234) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r23_r41,axiom,( k2_xcmplx_0(18,23) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r240_r258,axiom,( k2_xcmplx_0(18,240) = 258 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r246_r264,axiom,( k2_xcmplx_0(18,246) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r24_r42,axiom,( k2_xcmplx_0(18,24) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r251_r269,axiom,( k2_xcmplx_0(18,251) = 269 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r252_r270,axiom,( k2_xcmplx_0(18,252) = 270 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r256_r274,axiom,( k2_xcmplx_0(18,256) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r25_r43,axiom,( k2_xcmplx_0(18,25) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r260_r278,axiom,( k2_xcmplx_0(18,260) = 278 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r263_r281,axiom,( k2_xcmplx_0(18,263) = 281 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r264_r282,axiom,( k2_xcmplx_0(18,264) = 282 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r268_r286,axiom,( k2_xcmplx_0(18,268) = 286 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r26_r44,axiom,( k2_xcmplx_0(18,26) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r270_r288,axiom,( k2_xcmplx_0(18,270) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r272_r290,axiom,( k2_xcmplx_0(18,272) = 290 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r278_r296,axiom,( k2_xcmplx_0(18,278) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r279_r297,axiom,( k2_xcmplx_0(18,279) = 297 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r27_r45,axiom,( k2_xcmplx_0(18,27) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r282_r300,axiom,( k2_xcmplx_0(18,282) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r285_r303,axiom,( k2_xcmplx_0(18,285) = 303 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r28_r46,axiom,( k2_xcmplx_0(18,28) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r292_r310,axiom,( k2_xcmplx_0(18,292) = 310 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r296_r314,axiom,( k2_xcmplx_0(18,296) = 314 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r297_r315,axiom,( k2_xcmplx_0(18,297) = 315 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r299_r317,axiom,( k2_xcmplx_0(18,299) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r29_r47,axiom,( k2_xcmplx_0(18,29) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r2_r20,axiom,( k2_xcmplx_0(18,2) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r300_r318,axiom,( k2_xcmplx_0(18,300) = 318 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r309_r327,axiom,( k2_xcmplx_0(18,309) = 327 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r30_r48,axiom,( k2_xcmplx_0(18,30) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r311_r329,axiom,( k2_xcmplx_0(18,311) = 329 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r317_r335,axiom,( k2_xcmplx_0(18,317) = 335 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r31_r49,axiom,( k2_xcmplx_0(18,31) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r322_r340,axiom,( k2_xcmplx_0(18,322) = 340 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r32_r50,axiom,( k2_xcmplx_0(18,32) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r330_r348,axiom,( k2_xcmplx_0(18,330) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r336_r354,axiom,( k2_xcmplx_0(18,336) = 354 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r33_r51,axiom,( k2_xcmplx_0(18,33) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r340_r358,axiom,( k2_xcmplx_0(18,340) = 358 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r348_r366,axiom,( k2_xcmplx_0(18,348) = 366 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r34_r52,axiom,( k2_xcmplx_0(18,34) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r356_r374,axiom,( k2_xcmplx_0(18,356) = 374 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r357_r375,axiom,( k2_xcmplx_0(18,357) = 375 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r35_r53,axiom,( k2_xcmplx_0(18,35) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r366_r384,axiom,( k2_xcmplx_0(18,366) = 384 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r36_r54,axiom,( k2_xcmplx_0(18,36) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r378_r396,axiom,( k2_xcmplx_0(18,378) = 396 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r37_r55,axiom,( k2_xcmplx_0(18,37) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r382_r400,axiom,( k2_xcmplx_0(18,382) = 400 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r38_r56,axiom,( k2_xcmplx_0(18,38) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r396_r414,axiom,( k2_xcmplx_0(18,396) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r39_r57,axiom,( k2_xcmplx_0(18,39) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r3_r21,axiom,( k2_xcmplx_0(18,3) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r403_r421,axiom,( k2_xcmplx_0(18,403) = 421 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r40_r58,axiom,( k2_xcmplx_0(18,40) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r414_r432,axiom,( k2_xcmplx_0(18,414) = 432 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r419_r437,axiom,( k2_xcmplx_0(18,419) = 437 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r422_r440,axiom,( k2_xcmplx_0(18,422) = 440 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r427_r445,axiom,( k2_xcmplx_0(18,427) = 445 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r42_r60,axiom,( k2_xcmplx_0(18,42) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r432_r450,axiom,( k2_xcmplx_0(18,432) = 450 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r43_r61,axiom,( k2_xcmplx_0(18,43) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r446_r464,axiom,( k2_xcmplx_0(18,446) = 464 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r452_r470,axiom,( k2_xcmplx_0(18,452) = 470 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r455_r473,axiom,( k2_xcmplx_0(18,455) = 473 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r456_r474,axiom,( k2_xcmplx_0(18,456) = 474 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r45_r63,axiom,( k2_xcmplx_0(18,45) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r463_r481,axiom,( k2_xcmplx_0(18,463) = 481 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r46_r64,axiom,( k2_xcmplx_0(18,46) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r477_r495,axiom,( k2_xcmplx_0(18,477) = 495 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r47_r65,axiom,( k2_xcmplx_0(18,47) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r481_r499,axiom,( k2_xcmplx_0(18,481) = 499 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r48_r66,axiom,( k2_xcmplx_0(18,48) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r4_r22,axiom,( k2_xcmplx_0(18,4) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r50_r68,axiom,( k2_xcmplx_0(18,50) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r51_r69,axiom,( k2_xcmplx_0(18,51) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r52_r70,axiom,( k2_xcmplx_0(18,52) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r53_r71,axiom,( k2_xcmplx_0(18,53) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r54_r72,axiom,( k2_xcmplx_0(18,54) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r55_r73,axiom,( k2_xcmplx_0(18,55) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r56_r74,axiom,( k2_xcmplx_0(18,56) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r59_r77,axiom,( k2_xcmplx_0(18,59) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r5_r23,axiom,( k2_xcmplx_0(18,5) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r602_r620,axiom,( k2_xcmplx_0(18,602) = 620 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r60_r78,axiom,( k2_xcmplx_0(18,60) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r627_r645,axiom,( k2_xcmplx_0(18,627) = 645 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r62_r80,axiom,( k2_xcmplx_0(18,62) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r63_r81,axiom,( k2_xcmplx_0(18,63) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r646_r664,axiom,( k2_xcmplx_0(18,646) = 664 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r648_r666,axiom,( k2_xcmplx_0(18,648) = 666 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r652_r670,axiom,( k2_xcmplx_0(18,652) = 670 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r654_r672,axiom,( k2_xcmplx_0(18,654) = 672 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r65_r83,axiom,( k2_xcmplx_0(18,65) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r662_r680,axiom,( k2_xcmplx_0(18,662) = 680 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r66_r84,axiom,( k2_xcmplx_0(18,66) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r67_r85,axiom,( k2_xcmplx_0(18,67) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r680_r698,axiom,( k2_xcmplx_0(18,680) = 698 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r68_r86,axiom,( k2_xcmplx_0(18,68) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r6_r24,axiom,( k2_xcmplx_0(18,6) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r71_r89,axiom,( k2_xcmplx_0(18,71) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r72_r90,axiom,( k2_xcmplx_0(18,72) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r73_r91,axiom,( k2_xcmplx_0(18,73) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r74_r92,axiom,( k2_xcmplx_0(18,74) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r757_r775,axiom,( k2_xcmplx_0(18,757) = 775 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r768_r786,axiom,( k2_xcmplx_0(18,768) = 786 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r76_r94,axiom,( k2_xcmplx_0(18,76) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r77_r95,axiom,( k2_xcmplx_0(18,77) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r78_r96,axiom,( k2_xcmplx_0(18,78) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r80_r98,axiom,( k2_xcmplx_0(18,80) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r81_r99,axiom,( k2_xcmplx_0(18,81) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r82_r100,axiom,( k2_xcmplx_0(18,82) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r836_r854,axiom,( k2_xcmplx_0(18,836) = 854 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r83_r101,axiom,( k2_xcmplx_0(18,83) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r84_r102,axiom,( k2_xcmplx_0(18,84) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r85_r103,axiom,( k2_xcmplx_0(18,85) = 103 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r86_r104,axiom,( k2_xcmplx_0(18,86) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r87_r105,axiom,( k2_xcmplx_0(18,87) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r88_r106,axiom,( k2_xcmplx_0(18,88) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r89_r107,axiom,( k2_xcmplx_0(18,89) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r8_r26,axiom,( k2_xcmplx_0(18,8) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r90_r108,axiom,( k2_xcmplx_0(18,90) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r92_r110,axiom,( k2_xcmplx_0(18,92) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r95_r113,axiom,( k2_xcmplx_0(18,95) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r96_r114,axiom,( k2_xcmplx_0(18,96) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r99_r117,axiom,( k2_xcmplx_0(18,99) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r18_r9_r27,axiom,( k2_xcmplx_0(18,9) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm102_rm84,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(102)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm11_r7,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(11)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm12_r6,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(12)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm18_r0,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(18)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm1_r17,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(1)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm22_rm4,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(22)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm27_rm9,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(27)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm2_r16,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(2)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm36_rm18,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(36)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm3_r15,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(3)) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm4_r14,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(4)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm5_r13,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(5)) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm6_r12,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(6)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm72_rm54,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(72)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm74_rm56,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(74)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm88_rm70,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(88)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm92_rm74,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(92)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm94_rm76,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(94)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__r18_rm9_r9,axiom,( k2_xcmplx_0(18,k4_xcmplx_0(9)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r192_rm147_r45,axiom,( k2_xcmplx_0(192,k4_xcmplx_0(147)) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r192_rm39_r153,axiom,( k2_xcmplx_0(192,k4_xcmplx_0(39)) = 153 )).
fof(rqRealAdd__k2_xcmplx_0__r195_r118_r313,axiom,( k2_xcmplx_0(195,118) = 313 )).
fof(rqRealAdd__k2_xcmplx_0__r198_r256_r454,axiom,( k2_xcmplx_0(198,256) = 454 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r10_r29,axiom,( k2_xcmplx_0(19,10) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r12_r31,axiom,( k2_xcmplx_0(19,12) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r16_r35,axiom,( k2_xcmplx_0(19,16) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r171_r190,axiom,( k2_xcmplx_0(19,171) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r17_r36,axiom,( k2_xcmplx_0(19,17) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r18_r37,axiom,( k2_xcmplx_0(19,18) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r19_r38,axiom,( k2_xcmplx_0(19,19) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r1_r20,axiom,( k2_xcmplx_0(19,1) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r31_r50,axiom,( k2_xcmplx_0(19,31) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r32_r51,axiom,( k2_xcmplx_0(19,32) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r330_r349,axiom,( k2_xcmplx_0(19,330) = 349 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r49_r68,axiom,( k2_xcmplx_0(19,49) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r4_r23,axiom,( k2_xcmplx_0(19,4) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r19_r94_r113,axiom,( k2_xcmplx_0(19,94) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r19_rm10_r9,axiom,( k2_xcmplx_0(19,k4_xcmplx_0(10)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r19_rm8_r11,axiom,( k2_xcmplx_0(19,k4_xcmplx_0(8)) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r19_rm99_rm80,axiom,( k2_xcmplx_0(19,k4_xcmplx_0(99)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__r1_cr1r0_cr1r1,axiom,( k2_xcmplx_0(1,k1_xcmplx_0) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealAdd__k2_xcmplx_0__r1_crm1r0_crm1r1,axiom,( k2_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1,axiom,( k2_xcmplx_0(1,0) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r100_r101,axiom,( k2_xcmplx_0(1,100) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r101_r102,axiom,( k2_xcmplx_0(1,101) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r103_r104,axiom,( k2_xcmplx_0(1,103) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r10_r11,axiom,( k2_xcmplx_0(1,10) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r110_r111,axiom,( k2_xcmplx_0(1,110) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r112_r113,axiom,( k2_xcmplx_0(1,112) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r116_r117,axiom,( k2_xcmplx_0(1,116) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r11_r12,axiom,( k2_xcmplx_0(1,11) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r120_r121,axiom,( k2_xcmplx_0(1,120) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r121_r122,axiom,( k2_xcmplx_0(1,121) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r122_r123,axiom,( k2_xcmplx_0(1,122) = 123 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r126_r127,axiom,( k2_xcmplx_0(1,126) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r127_r128,axiom,( k2_xcmplx_0(1,127) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r128_r129,axiom,( k2_xcmplx_0(1,128) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r12_r13,axiom,( k2_xcmplx_0(1,12) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r130_r131,axiom,( k2_xcmplx_0(1,130) = 131 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r135_r136,axiom,( k2_xcmplx_0(1,135) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r138_r139,axiom,( k2_xcmplx_0(1,138) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r13_r14,axiom,( k2_xcmplx_0(1,13) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r140_r141,axiom,( k2_xcmplx_0(1,140) = 141 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r14_r15,axiom,( k2_xcmplx_0(1,14) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r153_r154,axiom,( k2_xcmplx_0(1,153) = 154 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r156_r157,axiom,( k2_xcmplx_0(1,156) = 157 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r15_r16,axiom,( k2_xcmplx_0(1,15) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r162_r163,axiom,( k2_xcmplx_0(1,162) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r16_r17,axiom,( k2_xcmplx_0(1,16) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r170_r171,axiom,( k2_xcmplx_0(1,170) = 171 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r172_r173,axiom,( k2_xcmplx_0(1,172) = 173 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r17_r18,axiom,( k2_xcmplx_0(1,17) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r18_r19,axiom,( k2_xcmplx_0(1,18) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r193_r194,axiom,( k2_xcmplx_0(1,193) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r194_r195,axiom,( k2_xcmplx_0(1,194) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r19_r20,axiom,( k2_xcmplx_0(1,19) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2,axiom,( k2_xcmplx_0(1,1) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r200_r201,axiom,( k2_xcmplx_0(1,200) = 201 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r204_r205,axiom,( k2_xcmplx_0(1,204) = 205 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r209_r210,axiom,( k2_xcmplx_0(1,209) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r20_r21,axiom,( k2_xcmplx_0(1,20) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r210_r211,axiom,( k2_xcmplx_0(1,210) = 211 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r212_r213,axiom,( k2_xcmplx_0(1,212) = 213 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r21_r22,axiom,( k2_xcmplx_0(1,21) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r224_r225,axiom,( k2_xcmplx_0(1,224) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r22_r23,axiom,( k2_xcmplx_0(1,22) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r232_r233,axiom,( k2_xcmplx_0(1,232) = 233 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r23_r24,axiom,( k2_xcmplx_0(1,23) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r245_r246,axiom,( k2_xcmplx_0(1,245) = 246 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r24_r25,axiom,( k2_xcmplx_0(1,24) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r256_r257,axiom,( k2_xcmplx_0(1,256) = 257 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r25_r26,axiom,( k2_xcmplx_0(1,25) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r269_r270,axiom,( k2_xcmplx_0(1,269) = 270 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r26_r27,axiom,( k2_xcmplx_0(1,26) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r27_r28,axiom,( k2_xcmplx_0(1,27) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r28_r29,axiom,( k2_xcmplx_0(1,28) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r290_r291,axiom,( k2_xcmplx_0(1,290) = 291 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r29_r30,axiom,( k2_xcmplx_0(1,29) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3,axiom,( k2_xcmplx_0(1,2) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r30_r31,axiom,( k2_xcmplx_0(1,30) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r316_r317,axiom,( k2_xcmplx_0(1,316) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r31_r32,axiom,( k2_xcmplx_0(1,31) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r320_r321,axiom,( k2_xcmplx_0(1,320) = 321 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r32_r33,axiom,( k2_xcmplx_0(1,32) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r33_r34,axiom,( k2_xcmplx_0(1,33) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r342_r343,axiom,( k2_xcmplx_0(1,342) = 343 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r343_r344,axiom,( k2_xcmplx_0(1,343) = 344 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r344_r345,axiom,( k2_xcmplx_0(1,344) = 345 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r345_r346,axiom,( k2_xcmplx_0(1,345) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r346_r347,axiom,( k2_xcmplx_0(1,346) = 347 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r347_r348,axiom,( k2_xcmplx_0(1,347) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r348_r349,axiom,( k2_xcmplx_0(1,348) = 349 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r349_r350,axiom,( k2_xcmplx_0(1,349) = 350 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r34_r35,axiom,( k2_xcmplx_0(1,34) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r350_r351,axiom,( k2_xcmplx_0(1,350) = 351 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r351_r352,axiom,( k2_xcmplx_0(1,351) = 352 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r352_r353,axiom,( k2_xcmplx_0(1,352) = 353 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r353_r354,axiom,( k2_xcmplx_0(1,353) = 354 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r354_r355,axiom,( k2_xcmplx_0(1,354) = 355 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r355_r356,axiom,( k2_xcmplx_0(1,355) = 356 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r356_r357,axiom,( k2_xcmplx_0(1,356) = 357 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r357_r358,axiom,( k2_xcmplx_0(1,357) = 358 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r358_r359,axiom,( k2_xcmplx_0(1,358) = 359 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r359_r360,axiom,( k2_xcmplx_0(1,359) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r35_r36,axiom,( k2_xcmplx_0(1,35) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r360_r361,axiom,( k2_xcmplx_0(1,360) = 361 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r361_r362,axiom,( k2_xcmplx_0(1,361) = 362 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r362_r363,axiom,( k2_xcmplx_0(1,362) = 363 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r363_r364,axiom,( k2_xcmplx_0(1,363) = 364 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r364_r365,axiom,( k2_xcmplx_0(1,364) = 365 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r36_r37,axiom,( k2_xcmplx_0(1,36) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r372_r373,axiom,( k2_xcmplx_0(1,372) = 373 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r377_r378,axiom,( k2_xcmplx_0(1,377) = 378 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r37_r38,axiom,( k2_xcmplx_0(1,37) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r382_r383,axiom,( k2_xcmplx_0(1,382) = 383 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r38_r39,axiom,( k2_xcmplx_0(1,38) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r39_r40,axiom,( k2_xcmplx_0(1,39) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r3_r4,axiom,( k2_xcmplx_0(1,3) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r40_r41,axiom,( k2_xcmplx_0(1,40) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r41_r42,axiom,( k2_xcmplx_0(1,41) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r42_r43,axiom,( k2_xcmplx_0(1,42) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r43_r44,axiom,( k2_xcmplx_0(1,43) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r44_r45,axiom,( k2_xcmplx_0(1,44) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r450_r451,axiom,( k2_xcmplx_0(1,450) = 451 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r45_r46,axiom,( k2_xcmplx_0(1,45) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r46_r47,axiom,( k2_xcmplx_0(1,46) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r471_r472,axiom,( k2_xcmplx_0(1,471) = 472 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r474_r475,axiom,( k2_xcmplx_0(1,474) = 475 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r47_r48,axiom,( k2_xcmplx_0(1,47) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r48_r49,axiom,( k2_xcmplx_0(1,48) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r49_r50,axiom,( k2_xcmplx_0(1,49) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5,axiom,( k2_xcmplx_0(1,4) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r50_r51,axiom,( k2_xcmplx_0(1,50) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r514_r515,axiom,( k2_xcmplx_0(1,514) = 515 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r519_r520,axiom,( k2_xcmplx_0(1,519) = 520 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r51_r52,axiom,( k2_xcmplx_0(1,51) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r52_r53,axiom,( k2_xcmplx_0(1,52) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r53_r54,axiom,( k2_xcmplx_0(1,53) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r54_r55,axiom,( k2_xcmplx_0(1,54) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r55_r56,axiom,( k2_xcmplx_0(1,55) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r56_r57,axiom,( k2_xcmplx_0(1,56) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r57_r58,axiom,( k2_xcmplx_0(1,57) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r58_r59,axiom,( k2_xcmplx_0(1,58) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r59_r60,axiom,( k2_xcmplx_0(1,59) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6,axiom,( k2_xcmplx_0(1,5) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r60_r61,axiom,( k2_xcmplx_0(1,60) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r61_r62,axiom,( k2_xcmplx_0(1,61) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r62_r63,axiom,( k2_xcmplx_0(1,62) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r630_r631,axiom,( k2_xcmplx_0(1,630) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r633_r634,axiom,( k2_xcmplx_0(1,633) = 634 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r637_r638,axiom,( k2_xcmplx_0(1,637) = 638 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r63_r64,axiom,( k2_xcmplx_0(1,63) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r640_r641,axiom,( k2_xcmplx_0(1,640) = 641 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r64_r65,axiom,( k2_xcmplx_0(1,64) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r66_r67,axiom,( k2_xcmplx_0(1,66) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r67_r68,axiom,( k2_xcmplx_0(1,67) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r680_r681,axiom,( k2_xcmplx_0(1,680) = 681 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r699_r700,axiom,( k2_xcmplx_0(1,699) = 700 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r69_r70,axiom,( k2_xcmplx_0(1,69) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7,axiom,( k2_xcmplx_0(1,6) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r70_r71,axiom,( k2_xcmplx_0(1,70) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r72_r73,axiom,( k2_xcmplx_0(1,72) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r73_r74,axiom,( k2_xcmplx_0(1,73) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r75_r76,axiom,( k2_xcmplx_0(1,75) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r785_r786,axiom,( k2_xcmplx_0(1,785) = 786 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r78_r79,axiom,( k2_xcmplx_0(1,78) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r7_r8,axiom,( k2_xcmplx_0(1,7) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r80_r81,axiom,( k2_xcmplx_0(1,80) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r81_r82,axiom,( k2_xcmplx_0(1,81) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r82_r83,axiom,( k2_xcmplx_0(1,82) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r83_r84,axiom,( k2_xcmplx_0(1,83) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r84_r85,axiom,( k2_xcmplx_0(1,84) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r87_r88,axiom,( k2_xcmplx_0(1,87) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r88_r89,axiom,( k2_xcmplx_0(1,88) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r89_r90,axiom,( k2_xcmplx_0(1,89) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r8_r9,axiom,( k2_xcmplx_0(1,8) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r90_r91,axiom,( k2_xcmplx_0(1,90) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r93_r94,axiom,( k2_xcmplx_0(1,93) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r94_r95,axiom,( k2_xcmplx_0(1,94) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r96_r97,axiom,( k2_xcmplx_0(1,96) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r1_r9_r10,axiom,( k2_xcmplx_0(1,9) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm100_rm99,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(100)) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm10_rm9,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(10)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm112_rm111,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(112)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm11_rm10,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(11)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm121_rm120,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(121)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm12_rm11,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(12)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm136_rm135,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(136)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm13_rm12,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(13)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm14_rm13,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(14)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm15_rm14,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(15)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm16_rm15,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(16)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm17_rm16,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(17)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm18_rm17,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(18)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm19_rm18,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(19)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(1)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm206_rm205,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(206)) = k4_xcmplx_0(205) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm20_rm19,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(20)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm21_rm20,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(21)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm23_rm22,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(23)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm25_rm24,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(25)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm26_rm25,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(26)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm27_rm26,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(27)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm28_rm27,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(28)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm29_rm28,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(29)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(2)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm30_rm29,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(30)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm32_rm31,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(32)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm33_rm32,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(33)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm349_rm348,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(349)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm34_rm33,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(34)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm36_rm35,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(36)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm37_rm36,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(37)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm38_rm37,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(38)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(3)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm41_rm40,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(41)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm473_rm472,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(473)) = k4_xcmplx_0(472) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm48_rm47,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(48)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm49_rm48,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(49)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(4)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm5_rm4,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(5)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm60_rm59,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(60)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm6_rm5,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(6)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm74_rm73,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(74)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm791_rm790,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(791)) = k4_xcmplx_0(790) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm7_rm6,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(7)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm81_rm80,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(81)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm8_rm7,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(8)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rm9_rm8,axiom,( k2_xcmplx_0(1,k4_xcmplx_0(9)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn11d5_rn16d5,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(11,5)) = k7_xcmplx_0(16,5) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn13d10_rn23d10,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(13,10)) = k7_xcmplx_0(23,10) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(1,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d4_rn5d4,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,4) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d5_rn6d5,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(1,5)) = k7_xcmplx_0(6,5) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d6_rn7d6,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(1,6)) = k7_xcmplx_0(7,6) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d9_rn10d9,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(1,9)) = k7_xcmplx_0(10,9) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn211d42_rn253d42,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(211,42)) = k7_xcmplx_0(253,42) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn2d3_rn5d3,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(2,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn2d5_rn7d5,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(2,5)) = k7_xcmplx_0(7,5) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn35d6_rn41d6,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(35,6)) = k7_xcmplx_0(41,6) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn3d2_rn5d2,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn3d5_rn8d5,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(3,5)) = k7_xcmplx_0(8,5) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn4d5_rn9d5,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(4,5)) = k7_xcmplx_0(9,5) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn5d12_rn17d12,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(5,12)) = k7_xcmplx_0(17,12) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn5d14_rn19d14,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(5,14)) = k7_xcmplx_0(19,14) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn5d2_rn7d2,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(5,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn5d4_rn9d4,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(5,4)) = k7_xcmplx_0(9,4) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn5d6_rn11d6,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(5,6)) = k7_xcmplx_0(11,6) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn6d5_rn11d5,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(6,5)) = k7_xcmplx_0(11,5) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn7d2_rn9d2,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(7,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn8d3_rn11d3,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(8,3)) = k7_xcmplx_0(11,3) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn9d16_rn25d16,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(9,16)) = k7_xcmplx_0(25,16) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rn9d4_rn13d4,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(9,4)) = k7_xcmplx_0(13,4) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d6_rn5d6,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(5,6) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d9_rn8d9,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(8,9) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm25d36_rn11d36,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(11,36) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm9d8_rnm1d8,axiom,( k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(9),8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealAdd__k2_xcmplx_0__r200_r1_r201,axiom,( k2_xcmplx_0(200,1) = 201 )).
fof(rqRealAdd__k2_xcmplx_0__r208_r104_r312,axiom,( k2_xcmplx_0(208,104) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r208_r26_r234,axiom,( k2_xcmplx_0(208,26) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r208_r72_r280,axiom,( k2_xcmplx_0(208,72) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r100_r120,axiom,( k2_xcmplx_0(20,100) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r10_r30,axiom,( k2_xcmplx_0(20,10) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r120_r140,axiom,( k2_xcmplx_0(20,120) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r128_r148,axiom,( k2_xcmplx_0(20,128) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r12_r32,axiom,( k2_xcmplx_0(20,12) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r136_r156,axiom,( k2_xcmplx_0(20,136) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r163_r183,axiom,( k2_xcmplx_0(20,163) = 183 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r18_r38,axiom,( k2_xcmplx_0(20,18) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r193_r213,axiom,( k2_xcmplx_0(20,193) = 213 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r1_r21,axiom,( k2_xcmplx_0(20,1) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r20_r40,axiom,( k2_xcmplx_0(20,20) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r21_r41,axiom,( k2_xcmplx_0(20,21) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r239_r259,axiom,( k2_xcmplx_0(20,239) = 259 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r23_r43,axiom,( k2_xcmplx_0(20,23) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r274_r294,axiom,( k2_xcmplx_0(20,274) = 294 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r283_r303,axiom,( k2_xcmplx_0(20,283) = 303 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r28_r48,axiom,( k2_xcmplx_0(20,28) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r293_r313,axiom,( k2_xcmplx_0(20,293) = 313 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r329_r349,axiom,( k2_xcmplx_0(20,329) = 349 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r32_r52,axiom,( k2_xcmplx_0(20,32) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r36_r56,axiom,( k2_xcmplx_0(20,36) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r3_r23,axiom,( k2_xcmplx_0(20,3) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r4_r24,axiom,( k2_xcmplx_0(20,4) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r52_r72,axiom,( k2_xcmplx_0(20,52) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r58_r78,axiom,( k2_xcmplx_0(20,58) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r5_r25,axiom,( k2_xcmplx_0(20,5) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r694_r714,axiom,( k2_xcmplx_0(20,694) = 714 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r698_r718,axiom,( k2_xcmplx_0(20,698) = 718 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r69_r89,axiom,( k2_xcmplx_0(20,69) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r6_r26,axiom,( k2_xcmplx_0(20,6) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r75_r95,axiom,( k2_xcmplx_0(20,75) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r76_r96,axiom,( k2_xcmplx_0(20,76) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r77_r97,axiom,( k2_xcmplx_0(20,77) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r7_r27,axiom,( k2_xcmplx_0(20,7) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r87_r107,axiom,( k2_xcmplx_0(20,87) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r8_r28,axiom,( k2_xcmplx_0(20,8) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r98_r118,axiom,( k2_xcmplx_0(20,98) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r20_r9_r29,axiom,( k2_xcmplx_0(20,9) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm100_rm80,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(100)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm104_rm84,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(104)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm10_r10,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(10)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm13_r7,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(13)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm140_rm120,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(140)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm15_r5,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(15)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm16_r4,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(16)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm178_rm158,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(178)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm18_r2,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(18)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm1_r19,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(1)) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm20_r0,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(20)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm22_rm2,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(22)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm27_rm7,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(27)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm2_r18,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(2)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm300_rm280,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(300)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm424_rm404,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(424)) = k4_xcmplx_0(404) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm4_r16,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(4)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm534_rm514,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(534)) = k4_xcmplx_0(514) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm54_rm34,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(54)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm572_rm552,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(572)) = k4_xcmplx_0(552) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm5_r15,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(5)) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm60_rm40,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(60)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm6_r14,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(6)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm78_rm58,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(78)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm7_r13,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(7)) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r20_rm94_rm74,axiom,( k2_xcmplx_0(20,k4_xcmplx_0(94)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__r210_r1_r211,axiom,( k2_xcmplx_0(210,1) = 211 )).
fof(rqRealAdd__k2_xcmplx_0__r210_r43_r253,axiom,( k2_xcmplx_0(210,43) = 253 )).
fof(rqRealAdd__k2_xcmplx_0__r210_r6_r216,axiom,( k2_xcmplx_0(210,6) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r211_r42_r253,axiom,( k2_xcmplx_0(211,42) = 253 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r152_r368,axiom,( k2_xcmplx_0(216,152) = 368 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r160_r376,axiom,( k2_xcmplx_0(216,160) = 376 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r180_r396,axiom,( k2_xcmplx_0(216,180) = 396 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r189_r405,axiom,( k2_xcmplx_0(216,189) = 405 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r198_r414,axiom,( k2_xcmplx_0(216,198) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r203_r419,axiom,( k2_xcmplx_0(216,203) = 419 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r272_r488,axiom,( k2_xcmplx_0(216,272) = 488 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r292_r508,axiom,( k2_xcmplx_0(216,292) = 508 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r298_r514,axiom,( k2_xcmplx_0(216,298) = 514 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r304_r520,axiom,( k2_xcmplx_0(216,304) = 520 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r344_r560,axiom,( k2_xcmplx_0(216,344) = 560 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r348_r564,axiom,( k2_xcmplx_0(216,348) = 564 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r352_r568,axiom,( k2_xcmplx_0(216,352) = 568 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r366_r582,axiom,( k2_xcmplx_0(216,366) = 582 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r48_r264,axiom,( k2_xcmplx_0(216,48) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r720_r936,axiom,( k2_xcmplx_0(216,720) = 936 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r72_r288,axiom,( k2_xcmplx_0(216,72) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r216_r756_r972,axiom,( k2_xcmplx_0(216,756) = 972 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r10_r31,axiom,( k2_xcmplx_0(21,10) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r116_r137,axiom,( k2_xcmplx_0(21,116) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r121_r142,axiom,( k2_xcmplx_0(21,121) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r127_r148,axiom,( k2_xcmplx_0(21,127) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r137_r158,axiom,( k2_xcmplx_0(21,137) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r13_r34,axiom,( k2_xcmplx_0(21,13) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r14_r35,axiom,( k2_xcmplx_0(21,14) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r151_r172,axiom,( k2_xcmplx_0(21,151) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r155_r176,axiom,( k2_xcmplx_0(21,155) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r15_r36,axiom,( k2_xcmplx_0(21,15) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r16_r37,axiom,( k2_xcmplx_0(21,16) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r179_r200,axiom,( k2_xcmplx_0(21,179) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r18_r39,axiom,( k2_xcmplx_0(21,18) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r1_r22,axiom,( k2_xcmplx_0(21,1) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r208_r229,axiom,( k2_xcmplx_0(21,208) = 229 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r20_r41,axiom,( k2_xcmplx_0(21,20) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r21_r42,axiom,( k2_xcmplx_0(21,21) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r231_r252,axiom,( k2_xcmplx_0(21,231) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r238_r259,axiom,( k2_xcmplx_0(21,238) = 259 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r23_r44,axiom,( k2_xcmplx_0(21,23) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r25_r46,axiom,( k2_xcmplx_0(21,25) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r28_r49,axiom,( k2_xcmplx_0(21,28) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r2_r23,axiom,( k2_xcmplx_0(21,2) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r301_r322,axiom,( k2_xcmplx_0(21,301) = 322 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r313_r334,axiom,( k2_xcmplx_0(21,313) = 334 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r32_r53,axiom,( k2_xcmplx_0(21,32) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r356_r377,axiom,( k2_xcmplx_0(21,356) = 377 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r35_r56,axiom,( k2_xcmplx_0(21,35) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r36_r57,axiom,( k2_xcmplx_0(21,36) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r371_r392,axiom,( k2_xcmplx_0(21,371) = 392 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r3_r24,axiom,( k2_xcmplx_0(21,3) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r42_r63,axiom,( k2_xcmplx_0(21,42) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r43_r64,axiom,( k2_xcmplx_0(21,43) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r44_r65,axiom,( k2_xcmplx_0(21,44) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r450_r471,axiom,( k2_xcmplx_0(21,450) = 471 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r45_r66,axiom,( k2_xcmplx_0(21,45) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r46_r67,axiom,( k2_xcmplx_0(21,46) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r47_r68,axiom,( k2_xcmplx_0(21,47) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r4_r25,axiom,( k2_xcmplx_0(21,4) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r52_r73,axiom,( k2_xcmplx_0(21,52) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r5_r26,axiom,( k2_xcmplx_0(21,5) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r60_r81,axiom,( k2_xcmplx_0(21,60) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r61_r82,axiom,( k2_xcmplx_0(21,61) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r67_r88,axiom,( k2_xcmplx_0(21,67) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r68_r89,axiom,( k2_xcmplx_0(21,68) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r6_r27,axiom,( k2_xcmplx_0(21,6) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r70_r91,axiom,( k2_xcmplx_0(21,70) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r74_r95,axiom,( k2_xcmplx_0(21,74) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r77_r98,axiom,( k2_xcmplx_0(21,77) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r7_r28,axiom,( k2_xcmplx_0(21,7) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r81_r102,axiom,( k2_xcmplx_0(21,81) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r84_r105,axiom,( k2_xcmplx_0(21,84) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r21_r8_r29,axiom,( k2_xcmplx_0(21,8) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r21_rm11_r10,axiom,( k2_xcmplx_0(21,k4_xcmplx_0(11)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r21_rm2_r19,axiom,( k2_xcmplx_0(21,k4_xcmplx_0(2)) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r21_rm33_rm12,axiom,( k2_xcmplx_0(21,k4_xcmplx_0(33)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r21_rm3_r18,axiom,( k2_xcmplx_0(21,k4_xcmplx_0(3)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r220_rm1_r219,axiom,( k2_xcmplx_0(220,k4_xcmplx_0(1)) = 219 )).
fof(rqRealAdd__k2_xcmplx_0__r224_r312_r536,axiom,( k2_xcmplx_0(224,312) = 536 )).
fof(rqRealAdd__k2_xcmplx_0__r224_r344_r568,axiom,( k2_xcmplx_0(224,344) = 568 )).
fof(rqRealAdd__k2_xcmplx_0__r224_r498_r722,axiom,( k2_xcmplx_0(224,498) = 722 )).
fof(rqRealAdd__k2_xcmplx_0__r225_rm216_r9,axiom,( k2_xcmplx_0(225,k4_xcmplx_0(216)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r225_rm30_r195,axiom,( k2_xcmplx_0(225,k4_xcmplx_0(30)) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__r225_rm96_r129,axiom,( k2_xcmplx_0(225,k4_xcmplx_0(96)) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r140_r162,axiom,( k2_xcmplx_0(22,140) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r1_r23,axiom,( k2_xcmplx_0(22,1) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r220_r242,axiom,( k2_xcmplx_0(22,220) = 242 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r22_r44,axiom,( k2_xcmplx_0(22,22) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r24_r46,axiom,( k2_xcmplx_0(22,24) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r284_r306,axiom,( k2_xcmplx_0(22,284) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r28_r50,axiom,( k2_xcmplx_0(22,28) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r2_r24,axiom,( k2_xcmplx_0(22,2) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r30_r52,axiom,( k2_xcmplx_0(22,30) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r32_r54,axiom,( k2_xcmplx_0(22,32) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r357_r379,axiom,( k2_xcmplx_0(22,357) = 379 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r38_r60,axiom,( k2_xcmplx_0(22,38) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r44_r66,axiom,( k2_xcmplx_0(22,44) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r4_r26,axiom,( k2_xcmplx_0(22,4) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r51_r73,axiom,( k2_xcmplx_0(22,51) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r54_r76,axiom,( k2_xcmplx_0(22,54) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r60_r82,axiom,( k2_xcmplx_0(22,60) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r7_r29,axiom,( k2_xcmplx_0(22,7) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r22_r9_r31,axiom,( k2_xcmplx_0(22,9) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm12_r10,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(12)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm150_rm128,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(150)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm22_r0,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(22)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm26_rm4,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(26)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm36_rm14,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(36)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm3_r19,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(3)) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm45_rm23,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(45)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm4_r18,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(4)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm5_r17,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(5)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r22_rm6_r16,axiom,( k2_xcmplx_0(22,k4_xcmplx_0(6)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r230_r189_r419,axiom,( k2_xcmplx_0(230,189) = 419 )).
fof(rqRealAdd__k2_xcmplx_0__r232_r3_r235,axiom,( k2_xcmplx_0(232,3) = 235 )).
fof(rqRealAdd__k2_xcmplx_0__r232_rm128_r104,axiom,( k2_xcmplx_0(232,k4_xcmplx_0(128)) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r232_rm186_r46,axiom,( k2_xcmplx_0(232,k4_xcmplx_0(186)) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r232_rm348_rm116,axiom,( k2_xcmplx_0(232,k4_xcmplx_0(348)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__r232_rm74_r158,axiom,( k2_xcmplx_0(232,k4_xcmplx_0(74)) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r124_r147,axiom,( k2_xcmplx_0(23,124) = 147 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r126_r149,axiom,( k2_xcmplx_0(23,126) = 149 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r14_r37,axiom,( k2_xcmplx_0(23,14) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r181_r204,axiom,( k2_xcmplx_0(23,181) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r18_r41,axiom,( k2_xcmplx_0(23,18) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r1_r24,axiom,( k2_xcmplx_0(23,1) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r20_r43,axiom,( k2_xcmplx_0(23,20) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r28_r51,axiom,( k2_xcmplx_0(23,28) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r32_r55,axiom,( k2_xcmplx_0(23,32) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r35_r58,axiom,( k2_xcmplx_0(23,35) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r6_r29,axiom,( k2_xcmplx_0(23,6) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r8_r31,axiom,( k2_xcmplx_0(23,8) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r23_r9_r32,axiom,( k2_xcmplx_0(23,9) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r23_rm14_r9,axiom,( k2_xcmplx_0(23,k4_xcmplx_0(14)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r23_rm19_r4,axiom,( k2_xcmplx_0(23,k4_xcmplx_0(19)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r23_rm28_rm5,axiom,( k2_xcmplx_0(23,k4_xcmplx_0(28)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r23_rm4_r19,axiom,( k2_xcmplx_0(23,k4_xcmplx_0(4)) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r23_rm56_rm33,axiom,( k2_xcmplx_0(23,k4_xcmplx_0(56)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__r23_rm8_r15,axiom,( k2_xcmplx_0(23,k4_xcmplx_0(8)) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r240_r2_r242,axiom,( k2_xcmplx_0(240,2) = 242 )).
fof(rqRealAdd__k2_xcmplx_0__r240_rm4_r236,axiom,( k2_xcmplx_0(240,k4_xcmplx_0(4)) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r245_rm14_r231,axiom,( k2_xcmplx_0(245,k4_xcmplx_0(14)) = 231 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r102_r126,axiom,( k2_xcmplx_0(24,102) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r104_r128,axiom,( k2_xcmplx_0(24,104) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r105_r129,axiom,( k2_xcmplx_0(24,105) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r106_r130,axiom,( k2_xcmplx_0(24,106) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r108_r132,axiom,( k2_xcmplx_0(24,108) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r10_r34,axiom,( k2_xcmplx_0(24,10) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r110_r134,axiom,( k2_xcmplx_0(24,110) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r111_r135,axiom,( k2_xcmplx_0(24,111) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r112_r136,axiom,( k2_xcmplx_0(24,112) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r114_r138,axiom,( k2_xcmplx_0(24,114) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r118_r142,axiom,( k2_xcmplx_0(24,118) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r11_r35,axiom,( k2_xcmplx_0(24,11) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r120_r144,axiom,( k2_xcmplx_0(24,120) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r127_r151,axiom,( k2_xcmplx_0(24,127) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r128_r152,axiom,( k2_xcmplx_0(24,128) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r12_r36,axiom,( k2_xcmplx_0(24,12) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r130_r154,axiom,( k2_xcmplx_0(24,130) = 154 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r131_r155,axiom,( k2_xcmplx_0(24,131) = 155 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r132_r156,axiom,( k2_xcmplx_0(24,132) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r138_r162,axiom,( k2_xcmplx_0(24,138) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r13_r37,axiom,( k2_xcmplx_0(24,13) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r140_r164,axiom,( k2_xcmplx_0(24,140) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r144_r168,axiom,( k2_xcmplx_0(24,144) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r145_r169,axiom,( k2_xcmplx_0(24,145) = 169 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r148_r172,axiom,( k2_xcmplx_0(24,148) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r14_r38,axiom,( k2_xcmplx_0(24,14) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r152_r176,axiom,( k2_xcmplx_0(24,152) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r156_r180,axiom,( k2_xcmplx_0(24,156) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r15_r39,axiom,( k2_xcmplx_0(24,15) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r160_r184,axiom,( k2_xcmplx_0(24,160) = 184 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r164_r188,axiom,( k2_xcmplx_0(24,164) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r166_r190,axiom,( k2_xcmplx_0(24,166) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r168_r192,axiom,( k2_xcmplx_0(24,168) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r16_r40,axiom,( k2_xcmplx_0(24,16) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r171_r195,axiom,( k2_xcmplx_0(24,171) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r173_r197,axiom,( k2_xcmplx_0(24,173) = 197 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r174_r198,axiom,( k2_xcmplx_0(24,174) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r17_r41,axiom,( k2_xcmplx_0(24,17) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r180_r204,axiom,( k2_xcmplx_0(24,180) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r181_r205,axiom,( k2_xcmplx_0(24,181) = 205 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r188_r212,axiom,( k2_xcmplx_0(24,188) = 212 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r18_r42,axiom,( k2_xcmplx_0(24,18) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r198_r222,axiom,( k2_xcmplx_0(24,198) = 222 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r19_r43,axiom,( k2_xcmplx_0(24,19) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r1_r25,axiom,( k2_xcmplx_0(24,1) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r200_r224,axiom,( k2_xcmplx_0(24,200) = 224 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r208_r232,axiom,( k2_xcmplx_0(24,208) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r20_r44,axiom,( k2_xcmplx_0(24,20) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r212_r236,axiom,( k2_xcmplx_0(24,212) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r216_r240,axiom,( k2_xcmplx_0(24,216) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r21_r45,axiom,( k2_xcmplx_0(24,21) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r228_r252,axiom,( k2_xcmplx_0(24,228) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r22_r46,axiom,( k2_xcmplx_0(24,22) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r236_r260,axiom,( k2_xcmplx_0(24,236) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r23_r47,axiom,( k2_xcmplx_0(24,23) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r240_r264,axiom,( k2_xcmplx_0(24,240) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r24_r48,axiom,( k2_xcmplx_0(24,24) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r250_r274,axiom,( k2_xcmplx_0(24,250) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r254_r278,axiom,( k2_xcmplx_0(24,254) = 278 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r256_r280,axiom,( k2_xcmplx_0(24,256) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r257_r281,axiom,( k2_xcmplx_0(24,257) = 281 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r260_r284,axiom,( k2_xcmplx_0(24,260) = 284 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r26_r50,axiom,( k2_xcmplx_0(24,26) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r27_r51,axiom,( k2_xcmplx_0(24,27) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r280_r304,axiom,( k2_xcmplx_0(24,280) = 304 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r286_r310,axiom,( k2_xcmplx_0(24,286) = 310 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r28_r52,axiom,( k2_xcmplx_0(24,28) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r294_r318,axiom,( k2_xcmplx_0(24,294) = 318 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r295_r319,axiom,( k2_xcmplx_0(24,295) = 319 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r296_r320,axiom,( k2_xcmplx_0(24,296) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r2_r26,axiom,( k2_xcmplx_0(24,2) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r30_r54,axiom,( k2_xcmplx_0(24,30) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r310_r334,axiom,( k2_xcmplx_0(24,310) = 334 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r312_r336,axiom,( k2_xcmplx_0(24,312) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r31_r55,axiom,( k2_xcmplx_0(24,31) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r320_r344,axiom,( k2_xcmplx_0(24,320) = 344 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r322_r346,axiom,( k2_xcmplx_0(24,322) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r32_r56,axiom,( k2_xcmplx_0(24,32) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r349_r373,axiom,( k2_xcmplx_0(24,349) = 373 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r356_r380,axiom,( k2_xcmplx_0(24,356) = 380 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r35_r59,axiom,( k2_xcmplx_0(24,35) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r368_r392,axiom,( k2_xcmplx_0(24,368) = 392 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r36_r60,axiom,( k2_xcmplx_0(24,36) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r37_r61,axiom,( k2_xcmplx_0(24,37) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r380_r404,axiom,( k2_xcmplx_0(24,380) = 404 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r388_r412,axiom,( k2_xcmplx_0(24,388) = 412 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r39_r63,axiom,( k2_xcmplx_0(24,39) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r3_r27,axiom,( k2_xcmplx_0(24,3) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r400_r424,axiom,( k2_xcmplx_0(24,400) = 424 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r408_r432,axiom,( k2_xcmplx_0(24,408) = 432 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r40_r64,axiom,( k2_xcmplx_0(24,40) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r41_r65,axiom,( k2_xcmplx_0(24,41) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r420_r444,axiom,( k2_xcmplx_0(24,420) = 444 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r427_r451,axiom,( k2_xcmplx_0(24,427) = 451 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r42_r66,axiom,( k2_xcmplx_0(24,42) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r431_r455,axiom,( k2_xcmplx_0(24,431) = 455 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r44_r68,axiom,( k2_xcmplx_0(24,44) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r45_r69,axiom,( k2_xcmplx_0(24,45) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r488_r512,axiom,( k2_xcmplx_0(24,488) = 512 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r48_r72,axiom,( k2_xcmplx_0(24,48) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r4_r28,axiom,( k2_xcmplx_0(24,4) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r50_r74,axiom,( k2_xcmplx_0(24,50) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r52_r76,axiom,( k2_xcmplx_0(24,52) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r53_r77,axiom,( k2_xcmplx_0(24,53) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r54_r78,axiom,( k2_xcmplx_0(24,54) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r55_r79,axiom,( k2_xcmplx_0(24,55) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r56_r80,axiom,( k2_xcmplx_0(24,56) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r575_r599,axiom,( k2_xcmplx_0(24,575) = 599 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r57_r81,axiom,( k2_xcmplx_0(24,57) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r58_r82,axiom,( k2_xcmplx_0(24,58) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r5_r29,axiom,( k2_xcmplx_0(24,5) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r60_r84,axiom,( k2_xcmplx_0(24,60) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r62_r86,axiom,( k2_xcmplx_0(24,62) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r63_r87,axiom,( k2_xcmplx_0(24,63) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r64_r88,axiom,( k2_xcmplx_0(24,64) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r664_r688,axiom,( k2_xcmplx_0(24,664) = 688 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r67_r91,axiom,( k2_xcmplx_0(24,67) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r684_r708,axiom,( k2_xcmplx_0(24,684) = 708 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r68_r92,axiom,( k2_xcmplx_0(24,68) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r6_r30,axiom,( k2_xcmplx_0(24,6) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r72_r96,axiom,( k2_xcmplx_0(24,72) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r74_r98,axiom,( k2_xcmplx_0(24,74) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r78_r102,axiom,( k2_xcmplx_0(24,78) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r7_r31,axiom,( k2_xcmplx_0(24,7) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r80_r104,axiom,( k2_xcmplx_0(24,80) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r82_r106,axiom,( k2_xcmplx_0(24,82) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r84_r108,axiom,( k2_xcmplx_0(24,84) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r88_r112,axiom,( k2_xcmplx_0(24,88) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r89_r113,axiom,( k2_xcmplx_0(24,89) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r8_r32,axiom,( k2_xcmplx_0(24,8) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r90_r114,axiom,( k2_xcmplx_0(24,90) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r91_r115,axiom,( k2_xcmplx_0(24,91) = 115 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r93_r117,axiom,( k2_xcmplx_0(24,93) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r95_r119,axiom,( k2_xcmplx_0(24,95) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r96_r120,axiom,( k2_xcmplx_0(24,96) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r97_r121,axiom,( k2_xcmplx_0(24,97) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r98_r122,axiom,( k2_xcmplx_0(24,98) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r24_r9_r33,axiom,( k2_xcmplx_0(24,9) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm112_rm88,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(112)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm11_r13,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(11)) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm12_r12,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(12)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm134_rm110,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(134)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm14_r10,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(14)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm150_rm126,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(150)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm158_rm134,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(158)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm16_r8,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(16)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm18_r6,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(18)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm1_r23,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(1)) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm20_r4,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(20)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm22_r2,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(22)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm24_r0,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(24)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm28_rm4,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(28)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm2_r22,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(2)) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm30_rm6,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(30)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm38_rm14,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(38)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm3_r21,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(3)) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm45_rm21,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(45)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm48_rm24,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(48)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm4_r20,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(4)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm52_rm28,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(52)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm56_rm32,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(56)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm60_rm36,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(60)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm68_rm44,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(68)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm6_r18,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(6)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r24_rm8_r16,axiom,( k2_xcmplx_0(24,k4_xcmplx_0(8)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r250_rm1_r249,axiom,( k2_xcmplx_0(250,k4_xcmplx_0(1)) = 249 )).
fof(rqRealAdd__k2_xcmplx_0__r252_r108_r360,axiom,( k2_xcmplx_0(252,108) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r252_r162_r414,axiom,( k2_xcmplx_0(252,162) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r252_r177_r429,axiom,( k2_xcmplx_0(252,177) = 429 )).
fof(rqRealAdd__k2_xcmplx_0__r252_r210_r462,axiom,( k2_xcmplx_0(252,210) = 462 )).
fof(rqRealAdd__k2_xcmplx_0__r252_r312_r564,axiom,( k2_xcmplx_0(252,312) = 564 )).
fof(rqRealAdd__k2_xcmplx_0__r256_r0_r256,axiom,( k2_xcmplx_0(256,0) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r256_r160_r416,axiom,( k2_xcmplx_0(256,160) = 416 )).
fof(rqRealAdd__k2_xcmplx_0__r256_r198_r454,axiom,( k2_xcmplx_0(256,198) = 454 )).
fof(rqRealAdd__k2_xcmplx_0__r256_r1_r257,axiom,( k2_xcmplx_0(256,1) = 257 )).
fof(rqRealAdd__k2_xcmplx_0__r256_r256_r512,axiom,( k2_xcmplx_0(256,256) = 512 )).
fof(rqRealAdd__k2_xcmplx_0__r256_r32_r288,axiom,( k2_xcmplx_0(256,32) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r256_r64_r320,axiom,( k2_xcmplx_0(256,64) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r257_r0_r257,axiom,( k2_xcmplx_0(257,0) = 257 )).
fof(rqRealAdd__k2_xcmplx_0__r257_rm1_r256,axiom,( k2_xcmplx_0(257,k4_xcmplx_0(1)) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r25_r1_r26,axiom,( k2_xcmplx_0(25,1) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r25_r30_r55,axiom,( k2_xcmplx_0(25,30) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r25_r32_r57,axiom,( k2_xcmplx_0(25,32) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r25_r4_r29,axiom,( k2_xcmplx_0(25,4) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r25_r7_r32,axiom,( k2_xcmplx_0(25,7) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r25_rm16_r9,axiom,( k2_xcmplx_0(25,k4_xcmplx_0(16)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r25_rm6_r19,axiom,( k2_xcmplx_0(25,k4_xcmplx_0(6)) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r25_rm96_rm71,axiom,( k2_xcmplx_0(25,k4_xcmplx_0(96)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__r26_r10_r36,axiom,( k2_xcmplx_0(26,10) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r113_r139,axiom,( k2_xcmplx_0(26,113) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r11_r37,axiom,( k2_xcmplx_0(26,11) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r125_r151,axiom,( k2_xcmplx_0(26,125) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r134_r160,axiom,( k2_xcmplx_0(26,134) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r141_r167,axiom,( k2_xcmplx_0(26,141) = 167 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r14_r40,axiom,( k2_xcmplx_0(26,14) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r168_r194,axiom,( k2_xcmplx_0(26,168) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r169_r195,axiom,( k2_xcmplx_0(26,169) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r16_r42,axiom,( k2_xcmplx_0(26,16) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r172_r198,axiom,( k2_xcmplx_0(26,172) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r175_r201,axiom,( k2_xcmplx_0(26,175) = 201 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r189_r215,axiom,( k2_xcmplx_0(26,189) = 215 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r18_r44,axiom,( k2_xcmplx_0(26,18) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r1_r27,axiom,( k2_xcmplx_0(26,1) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r20_r46,axiom,( k2_xcmplx_0(26,20) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r24_r50,axiom,( k2_xcmplx_0(26,24) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r30_r56,axiom,( k2_xcmplx_0(26,30) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r32_r58,axiom,( k2_xcmplx_0(26,32) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r36_r62,axiom,( k2_xcmplx_0(26,36) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r374_r400,axiom,( k2_xcmplx_0(26,374) = 400 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r39_r65,axiom,( k2_xcmplx_0(26,39) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r3_r29,axiom,( k2_xcmplx_0(26,3) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r44_r70,axiom,( k2_xcmplx_0(26,44) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r46_r72,axiom,( k2_xcmplx_0(26,46) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r479_r505,axiom,( k2_xcmplx_0(26,479) = 505 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r48_r74,axiom,( k2_xcmplx_0(26,48) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r4_r30,axiom,( k2_xcmplx_0(26,4) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r50_r76,axiom,( k2_xcmplx_0(26,50) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r51_r77,axiom,( k2_xcmplx_0(26,51) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r521_r547,axiom,( k2_xcmplx_0(26,521) = 547 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r52_r78,axiom,( k2_xcmplx_0(26,52) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r54_r80,axiom,( k2_xcmplx_0(26,54) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r58_r84,axiom,( k2_xcmplx_0(26,58) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r5_r31,axiom,( k2_xcmplx_0(26,5) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r607_r633,axiom,( k2_xcmplx_0(26,607) = 633 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r60_r86,axiom,( k2_xcmplx_0(26,60) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r63_r89,axiom,( k2_xcmplx_0(26,63) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r6_r32,axiom,( k2_xcmplx_0(26,6) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r74_r100,axiom,( k2_xcmplx_0(26,74) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r78_r104,axiom,( k2_xcmplx_0(26,78) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r82_r108,axiom,( k2_xcmplx_0(26,82) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r88_r114,axiom,( k2_xcmplx_0(26,88) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r8_r34,axiom,( k2_xcmplx_0(26,8) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r94_r120,axiom,( k2_xcmplx_0(26,94) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r26_r9_r35,axiom,( k2_xcmplx_0(26,9) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm204_rm178,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(204)) = k4_xcmplx_0(178) )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm220_rm194,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(220)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm225_rm199,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(225)) = k4_xcmplx_0(199) )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm231_rm205,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(231)) = k4_xcmplx_0(205) )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm27_rm1,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(27)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm2_r24,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(2)) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm6_r20,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(6)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r26_rm9_r17,axiom,( k2_xcmplx_0(26,k4_xcmplx_0(9)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r270_rm16_r254,axiom,( k2_xcmplx_0(270,k4_xcmplx_0(16)) = 254 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r110_r137,axiom,( k2_xcmplx_0(27,110) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r120_r147,axiom,( k2_xcmplx_0(27,120) = 147 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r123_r150,axiom,( k2_xcmplx_0(27,123) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r125_r152,axiom,( k2_xcmplx_0(27,125) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r12_r39,axiom,( k2_xcmplx_0(27,12) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r13_r40,axiom,( k2_xcmplx_0(27,13) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r181_r208,axiom,( k2_xcmplx_0(27,181) = 208 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r190_r217,axiom,( k2_xcmplx_0(27,190) = 217 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r1_r28,axiom,( k2_xcmplx_0(27,1) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r204_r231,axiom,( k2_xcmplx_0(27,204) = 231 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r205_r232,axiom,( k2_xcmplx_0(27,205) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r207_r234,axiom,( k2_xcmplx_0(27,207) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r222_r249,axiom,( k2_xcmplx_0(27,222) = 249 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r258_r285,axiom,( k2_xcmplx_0(27,258) = 285 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r263_r290,axiom,( k2_xcmplx_0(27,263) = 290 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r279_r306,axiom,( k2_xcmplx_0(27,279) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r27_r54,axiom,( k2_xcmplx_0(27,27) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r295_r322,axiom,( k2_xcmplx_0(27,295) = 322 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r2_r29,axiom,( k2_xcmplx_0(27,2) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r30_r57,axiom,( k2_xcmplx_0(27,30) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r32_r59,axiom,( k2_xcmplx_0(27,32) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r363_r390,axiom,( k2_xcmplx_0(27,363) = 390 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r390_r417,axiom,( k2_xcmplx_0(27,390) = 417 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r3_r30,axiom,( k2_xcmplx_0(27,3) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r410_r437,axiom,( k2_xcmplx_0(27,410) = 437 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r41_r68,axiom,( k2_xcmplx_0(27,41) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r420_r447,axiom,( k2_xcmplx_0(27,420) = 447 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r429_r456,axiom,( k2_xcmplx_0(27,429) = 456 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r48_r75,axiom,( k2_xcmplx_0(27,48) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r4_r31,axiom,( k2_xcmplx_0(27,4) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r54_r81,axiom,( k2_xcmplx_0(27,54) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r613_r640,axiom,( k2_xcmplx_0(27,613) = 640 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r62_r89,axiom,( k2_xcmplx_0(27,62) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r66_r93,axiom,( k2_xcmplx_0(27,66) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r69_r96,axiom,( k2_xcmplx_0(27,69) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r6_r33,axiom,( k2_xcmplx_0(27,6) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r78_r105,axiom,( k2_xcmplx_0(27,78) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r81_r108,axiom,( k2_xcmplx_0(27,81) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r83_r110,axiom,( k2_xcmplx_0(27,83) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r86_r113,axiom,( k2_xcmplx_0(27,86) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r8_r35,axiom,( k2_xcmplx_0(27,8) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r95_r122,axiom,( k2_xcmplx_0(27,95) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r27_r9_r36,axiom,( k2_xcmplx_0(27,9) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r27_rm11_r16,axiom,( k2_xcmplx_0(27,k4_xcmplx_0(11)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r27_rm12_r15,axiom,( k2_xcmplx_0(27,k4_xcmplx_0(12)) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r27_rm16_r11,axiom,( k2_xcmplx_0(27,k4_xcmplx_0(16)) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r27_rm20_r7,axiom,( k2_xcmplx_0(27,k4_xcmplx_0(20)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r27_rm27_r0,axiom,( k2_xcmplx_0(27,k4_xcmplx_0(27)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r288_r204_r492,axiom,( k2_xcmplx_0(288,204) = 492 )).
fof(rqRealAdd__k2_xcmplx_0__r288_r337_r625,axiom,( k2_xcmplx_0(288,337) = 625 )).
fof(rqRealAdd__k2_xcmplx_0__r288_r396_r684,axiom,( k2_xcmplx_0(288,396) = 684 )).
fof(rqRealAdd__k2_xcmplx_0__r288_r480_r768,axiom,( k2_xcmplx_0(288,480) = 768 )).
fof(rqRealAdd__k2_xcmplx_0__r288_r512_r800,axiom,( k2_xcmplx_0(288,512) = 800 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r10_r38,axiom,( k2_xcmplx_0(28,10) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r113_r141,axiom,( k2_xcmplx_0(28,113) = 141 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r120_r148,axiom,( k2_xcmplx_0(28,120) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r12_r40,axiom,( k2_xcmplx_0(28,12) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r131_r159,axiom,( k2_xcmplx_0(28,131) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r14_r42,axiom,( k2_xcmplx_0(28,14) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r156_r184,axiom,( k2_xcmplx_0(28,156) = 184 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r16_r44,axiom,( k2_xcmplx_0(28,16) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r17_r45,axiom,( k2_xcmplx_0(28,17) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r192_r220,axiom,( k2_xcmplx_0(28,192) = 220 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r1_r29,axiom,( k2_xcmplx_0(28,1) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r206_r234,axiom,( k2_xcmplx_0(28,206) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r234_r262,axiom,( k2_xcmplx_0(28,234) = 262 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r238_r266,axiom,( k2_xcmplx_0(28,238) = 266 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r23_r51,axiom,( k2_xcmplx_0(28,23) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r266_r294,axiom,( k2_xcmplx_0(28,266) = 294 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r284_r312,axiom,( k2_xcmplx_0(28,284) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r289_r317,axiom,( k2_xcmplx_0(28,289) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r28_r56,axiom,( k2_xcmplx_0(28,28) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r29_r57,axiom,( k2_xcmplx_0(28,29) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r322_r350,axiom,( k2_xcmplx_0(28,322) = 350 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r32_r60,axiom,( k2_xcmplx_0(28,32) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r34_r62,axiom,( k2_xcmplx_0(28,34) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r368_r396,axiom,( k2_xcmplx_0(28,368) = 396 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r36_r64,axiom,( k2_xcmplx_0(28,36) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r3_r31,axiom,( k2_xcmplx_0(28,3) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r41_r69,axiom,( k2_xcmplx_0(28,41) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r44_r72,axiom,( k2_xcmplx_0(28,44) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r48_r76,axiom,( k2_xcmplx_0(28,48) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r4_r32,axiom,( k2_xcmplx_0(28,4) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r513_r541,axiom,( k2_xcmplx_0(28,513) = 541 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r61_r89,axiom,( k2_xcmplx_0(28,61) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r63_r91,axiom,( k2_xcmplx_0(28,63) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r65_r93,axiom,( k2_xcmplx_0(28,65) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r6_r34,axiom,( k2_xcmplx_0(28,6) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r722_r750,axiom,( k2_xcmplx_0(28,722) = 750 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r72_r100,axiom,( k2_xcmplx_0(28,72) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r754_r782,axiom,( k2_xcmplx_0(28,754) = 782 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r76_r104,axiom,( k2_xcmplx_0(28,76) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r7_r35,axiom,( k2_xcmplx_0(28,7) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r8_r36,axiom,( k2_xcmplx_0(28,8) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r28_r98_r126,axiom,( k2_xcmplx_0(28,98) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm16_r12,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(16)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm20_r8,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(20)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm2_r26,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(2)) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm300_rm272,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(300)) = k4_xcmplx_0(272) )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm342_rm314,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(342)) = k4_xcmplx_0(314) )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm5_r23,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(5)) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm68_rm40,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(68)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm72_rm44,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(72)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm82_rm54,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(82)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__r28_rm98_rm70,axiom,( k2_xcmplx_0(28,k4_xcmplx_0(98)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__r290_r1_r291,axiom,( k2_xcmplx_0(290,1) = 291 )).
fof(rqRealAdd__k2_xcmplx_0__r299_r18_r317,axiom,( k2_xcmplx_0(299,18) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r132_r161,axiom,( k2_xcmplx_0(29,132) = 161 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r134_r163,axiom,( k2_xcmplx_0(29,134) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r13_r42,axiom,( k2_xcmplx_0(29,13) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r188_r217,axiom,( k2_xcmplx_0(29,188) = 217 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r191_r220,axiom,( k2_xcmplx_0(29,191) = 220 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r199_r228,axiom,( k2_xcmplx_0(29,199) = 228 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r1_r30,axiom,( k2_xcmplx_0(29,1) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r20_r49,axiom,( k2_xcmplx_0(29,20) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r2_r31,axiom,( k2_xcmplx_0(29,2) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r30_r59,axiom,( k2_xcmplx_0(29,30) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r32_r61,axiom,( k2_xcmplx_0(29,32) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r38_r67,axiom,( k2_xcmplx_0(29,38) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r62_r91,axiom,( k2_xcmplx_0(29,62) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r66_r95,axiom,( k2_xcmplx_0(29,66) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r69_r98,axiom,( k2_xcmplx_0(29,69) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r81_r110,axiom,( k2_xcmplx_0(29,81) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r29_r86_r115,axiom,( k2_xcmplx_0(29,86) = 115 )).
fof(rqRealAdd__k2_xcmplx_0__r29_rm12_r17,axiom,( k2_xcmplx_0(29,k4_xcmplx_0(12)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r29_rm15_r14,axiom,( k2_xcmplx_0(29,k4_xcmplx_0(15)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r29_rm16_r13,axiom,( k2_xcmplx_0(29,k4_xcmplx_0(16)) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r29_rm2_r27,axiom,( k2_xcmplx_0(29,k4_xcmplx_0(2)) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r29_rm4_r25,axiom,( k2_xcmplx_0(29,k4_xcmplx_0(4)) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r29_rm8_r21,axiom,( k2_xcmplx_0(29,k4_xcmplx_0(8)) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2,axiom,( k2_xcmplx_0(2,0) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r100_r102,axiom,( k2_xcmplx_0(2,100) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r101_r103,axiom,( k2_xcmplx_0(2,101) = 103 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r102_r104,axiom,( k2_xcmplx_0(2,102) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r104_r106,axiom,( k2_xcmplx_0(2,104) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r105_r107,axiom,( k2_xcmplx_0(2,105) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r106_r108,axiom,( k2_xcmplx_0(2,106) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r108_r110,axiom,( k2_xcmplx_0(2,108) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r10_r12,axiom,( k2_xcmplx_0(2,10) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r110_r112,axiom,( k2_xcmplx_0(2,110) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r112_r114,axiom,( k2_xcmplx_0(2,112) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r115_r117,axiom,( k2_xcmplx_0(2,115) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r118_r120,axiom,( k2_xcmplx_0(2,118) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r119_r121,axiom,( k2_xcmplx_0(2,119) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r11_r13,axiom,( k2_xcmplx_0(2,11) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r120_r122,axiom,( k2_xcmplx_0(2,120) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r122_r124,axiom,( k2_xcmplx_0(2,122) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r128_r130,axiom,( k2_xcmplx_0(2,128) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r12_r14,axiom,( k2_xcmplx_0(2,12) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r130_r132,axiom,( k2_xcmplx_0(2,130) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r132_r134,axiom,( k2_xcmplx_0(2,132) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r135_r137,axiom,( k2_xcmplx_0(2,135) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r136_r138,axiom,( k2_xcmplx_0(2,136) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r138_r140,axiom,( k2_xcmplx_0(2,138) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r13_r15,axiom,( k2_xcmplx_0(2,13) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r144_r146,axiom,( k2_xcmplx_0(2,144) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r149_r151,axiom,( k2_xcmplx_0(2,149) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r14_r16,axiom,( k2_xcmplx_0(2,14) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r154_r156,axiom,( k2_xcmplx_0(2,154) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r158_r160,axiom,( k2_xcmplx_0(2,158) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r15_r17,axiom,( k2_xcmplx_0(2,15) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r161_r163,axiom,( k2_xcmplx_0(2,161) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r168_r170,axiom,( k2_xcmplx_0(2,168) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r16_r18,axiom,( k2_xcmplx_0(2,16) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r176_r178,axiom,( k2_xcmplx_0(2,176) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r178_r180,axiom,( k2_xcmplx_0(2,178) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r179_r181,axiom,( k2_xcmplx_0(2,179) = 181 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r17_r19,axiom,( k2_xcmplx_0(2,17) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r181_r183,axiom,( k2_xcmplx_0(2,181) = 183 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r18_r20,axiom,( k2_xcmplx_0(2,18) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r196_r198,axiom,( k2_xcmplx_0(2,196) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r198_r200,axiom,( k2_xcmplx_0(2,198) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r199_r201,axiom,( k2_xcmplx_0(2,199) = 201 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r19_r21,axiom,( k2_xcmplx_0(2,19) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3,axiom,( k2_xcmplx_0(2,1) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r208_r210,axiom,( k2_xcmplx_0(2,208) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r20_r22,axiom,( k2_xcmplx_0(2,20) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r211_r213,axiom,( k2_xcmplx_0(2,211) = 213 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r216_r218,axiom,( k2_xcmplx_0(2,216) = 218 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r21_r23,axiom,( k2_xcmplx_0(2,21) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r22_r24,axiom,( k2_xcmplx_0(2,22) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r232_r234,axiom,( k2_xcmplx_0(2,232) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r23_r25,axiom,( k2_xcmplx_0(2,23) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r240_r242,axiom,( k2_xcmplx_0(2,240) = 242 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r24_r26,axiom,( k2_xcmplx_0(2,24) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r250_r252,axiom,( k2_xcmplx_0(2,250) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r252_r254,axiom,( k2_xcmplx_0(2,252) = 254 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r255_r257,axiom,( k2_xcmplx_0(2,255) = 257 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r259_r261,axiom,( k2_xcmplx_0(2,259) = 261 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r25_r27,axiom,( k2_xcmplx_0(2,25) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r262_r264,axiom,( k2_xcmplx_0(2,262) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r264_r266,axiom,( k2_xcmplx_0(2,264) = 266 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r26_r28,axiom,( k2_xcmplx_0(2,26) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r276_r278,axiom,( k2_xcmplx_0(2,276) = 278 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r278_r280,axiom,( k2_xcmplx_0(2,278) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r27_r29,axiom,( k2_xcmplx_0(2,27) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r285_r287,axiom,( k2_xcmplx_0(2,285) = 287 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r28_r30,axiom,( k2_xcmplx_0(2,28) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r294_r296,axiom,( k2_xcmplx_0(2,294) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r29_r31,axiom,( k2_xcmplx_0(2,29) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4,axiom,( k2_xcmplx_0(2,2) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r30_r32,axiom,( k2_xcmplx_0(2,30) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r310_r312,axiom,( k2_xcmplx_0(2,310) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r315_r317,axiom,( k2_xcmplx_0(2,315) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r31_r33,axiom,( k2_xcmplx_0(2,31) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r320_r322,axiom,( k2_xcmplx_0(2,320) = 322 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r327_r329,axiom,( k2_xcmplx_0(2,327) = 329 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r32_r34,axiom,( k2_xcmplx_0(2,32) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r333_r335,axiom,( k2_xcmplx_0(2,333) = 335 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r334_r336,axiom,( k2_xcmplx_0(2,334) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r336_r338,axiom,( k2_xcmplx_0(2,336) = 338 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r33_r35,axiom,( k2_xcmplx_0(2,33) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r348_r350,axiom,( k2_xcmplx_0(2,348) = 350 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r34_r36,axiom,( k2_xcmplx_0(2,34) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r354_r356,axiom,( k2_xcmplx_0(2,354) = 356 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r356_r358,axiom,( k2_xcmplx_0(2,356) = 358 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r358_r360,axiom,( k2_xcmplx_0(2,358) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r35_r37,axiom,( k2_xcmplx_0(2,35) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r36_r38,axiom,( k2_xcmplx_0(2,36) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r377_r379,axiom,( k2_xcmplx_0(2,377) = 379 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r379_r381,axiom,( k2_xcmplx_0(2,379) = 381 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r380_r382,axiom,( k2_xcmplx_0(2,380) = 382 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r38_r40,axiom,( k2_xcmplx_0(2,38) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r39_r41,axiom,( k2_xcmplx_0(2,39) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5,axiom,( k2_xcmplx_0(2,3) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r400_r402,axiom,( k2_xcmplx_0(2,400) = 402 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r404_r406,axiom,( k2_xcmplx_0(2,404) = 406 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r406_r408,axiom,( k2_xcmplx_0(2,406) = 408 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r40_r42,axiom,( k2_xcmplx_0(2,40) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r414_r416,axiom,( k2_xcmplx_0(2,414) = 416 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r41_r43,axiom,( k2_xcmplx_0(2,41) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r42_r44,axiom,( k2_xcmplx_0(2,42) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r437_r439,axiom,( k2_xcmplx_0(2,437) = 439 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r43_r45,axiom,( k2_xcmplx_0(2,43) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r442_r444,axiom,( k2_xcmplx_0(2,442) = 444 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r446_r448,axiom,( k2_xcmplx_0(2,446) = 448 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r44_r46,axiom,( k2_xcmplx_0(2,44) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r45_r47,axiom,( k2_xcmplx_0(2,45) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r46_r48,axiom,( k2_xcmplx_0(2,46) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r47_r49,axiom,( k2_xcmplx_0(2,47) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r48_r50,axiom,( k2_xcmplx_0(2,48) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r49_r51,axiom,( k2_xcmplx_0(2,49) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r4_r6,axiom,( k2_xcmplx_0(2,4) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r508_r510,axiom,( k2_xcmplx_0(2,508) = 510 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r50_r52,axiom,( k2_xcmplx_0(2,50) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r51_r53,axiom,( k2_xcmplx_0(2,51) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r53_r55,axiom,( k2_xcmplx_0(2,53) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r54_r56,axiom,( k2_xcmplx_0(2,54) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r551_r553,axiom,( k2_xcmplx_0(2,551) = 553 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r56_r58,axiom,( k2_xcmplx_0(2,56) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r57_r59,axiom,( k2_xcmplx_0(2,57) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r58_r60,axiom,( k2_xcmplx_0(2,58) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r594_r596,axiom,( k2_xcmplx_0(2,594) = 596 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7,axiom,( k2_xcmplx_0(2,5) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r60_r62,axiom,( k2_xcmplx_0(2,60) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r61_r63,axiom,( k2_xcmplx_0(2,61) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r622_r624,axiom,( k2_xcmplx_0(2,622) = 624 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r629_r631,axiom,( k2_xcmplx_0(2,629) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r62_r64,axiom,( k2_xcmplx_0(2,62) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r63_r65,axiom,( k2_xcmplx_0(2,63) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r64_r66,axiom,( k2_xcmplx_0(2,64) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r65_r67,axiom,( k2_xcmplx_0(2,65) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r666_r668,axiom,( k2_xcmplx_0(2,666) = 668 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r66_r68,axiom,( k2_xcmplx_0(2,66) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r672_r674,axiom,( k2_xcmplx_0(2,672) = 674 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r68_r70,axiom,( k2_xcmplx_0(2,68) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r698_r700,axiom,( k2_xcmplx_0(2,698) = 700 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r69_r71,axiom,( k2_xcmplx_0(2,69) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r6_r8,axiom,( k2_xcmplx_0(2,6) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r70_r72,axiom,( k2_xcmplx_0(2,70) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r718_r720,axiom,( k2_xcmplx_0(2,718) = 720 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r72_r74,axiom,( k2_xcmplx_0(2,72) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r75_r77,axiom,( k2_xcmplx_0(2,75) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r76_r78,axiom,( k2_xcmplx_0(2,76) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r77_r79,axiom,( k2_xcmplx_0(2,77) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r78_r80,axiom,( k2_xcmplx_0(2,78) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r7_r9,axiom,( k2_xcmplx_0(2,7) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r800_r802,axiom,( k2_xcmplx_0(2,800) = 802 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r804_r806,axiom,( k2_xcmplx_0(2,804) = 806 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r80_r82,axiom,( k2_xcmplx_0(2,80) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r81_r83,axiom,( k2_xcmplx_0(2,81) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r82_r84,axiom,( k2_xcmplx_0(2,82) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r85_r87,axiom,( k2_xcmplx_0(2,85) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r86_r88,axiom,( k2_xcmplx_0(2,86) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r87_r89,axiom,( k2_xcmplx_0(2,87) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r8_r10,axiom,( k2_xcmplx_0(2,8) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r90_r92,axiom,( k2_xcmplx_0(2,90) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r95_r97,axiom,( k2_xcmplx_0(2,95) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r98_r100,axiom,( k2_xcmplx_0(2,98) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r99_r101,axiom,( k2_xcmplx_0(2,99) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r2_r9_r11,axiom,( k2_xcmplx_0(2,9) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm10_rm8,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(10)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm110_rm108,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(110)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm11_rm9,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(11)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm12_rm10,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(12)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm13_rm11,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(13)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm14_rm12,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(14)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm15_rm13,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(15)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm160_rm158,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(160)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm16_rm14,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(16)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm178_rm176,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(178)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm17_rm15,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(17)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm18_rm16,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(18)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm190_rm188,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(190)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm192_rm190,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(192)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm194_rm192,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(194)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm198_rm196,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(198)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm19_rm17,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(19)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(1)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm200_rm198,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(200)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm20_rm18,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(20)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm22_rm20,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(22)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm23_rm21,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(23)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm24_rm22,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(24)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm252_rm250,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(252)) = k4_xcmplx_0(250) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm25_rm23,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(25)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm26_rm24,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(26)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm27_rm25,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(27)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm28_rm26,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(28)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm29_rm27,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(29)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(2)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm30_rm28,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(30)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm32_rm30,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(32)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm33_rm31,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(33)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm34_rm32,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(34)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm36_rm34,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(36)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm370_rm368,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(370)) = k4_xcmplx_0(368) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm37_rm35,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(37)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm38_rm36,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(38)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm39_rm37,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(39)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(3)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm41_rm39,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(41)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(4)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm50_rm48,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(50)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm54_rm52,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(54)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm5_rm3,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(5)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm664_rm662,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(664)) = k4_xcmplx_0(662) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm6_rm4,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(6)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm76_rm74,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(76)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm7_rm5,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(7)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm84_rm82,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(84)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm8_rm6,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(8)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm96_rm94,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(96)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rm9_rm7,axiom,( k2_xcmplx_0(2,k4_xcmplx_0(9)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn1d2_rn5d2,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn1d4_rn9d4,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(1,4)) = k7_xcmplx_0(9,4) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn1d6_rn13d6,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(1,6)) = k7_xcmplx_0(13,6) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn2d5_rn12d5,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(2,5)) = k7_xcmplx_0(12,5) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn3d2_rn7d2,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(3,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn3d5_rn13d5,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(3,5)) = k7_xcmplx_0(13,5) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn41d6_rn53d6,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(41,6)) = k7_xcmplx_0(53,6) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn5d12_rn29d12,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(5,12)) = k7_xcmplx_0(29,12) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn5d4_rn13d4,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(5,4)) = k7_xcmplx_0(13,4) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rn9d4_rn17d4,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(9,4)) = k7_xcmplx_0(17,4) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d8_rn13d8,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(13,8) )).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm5d2_rnm1d2,axiom,( k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__r304_r13_r317,axiom,( k2_xcmplx_0(304,13) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r304_rm156_r148,axiom,( k2_xcmplx_0(304,k4_xcmplx_0(156)) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r304_rm498_rm194,axiom,( k2_xcmplx_0(304,k4_xcmplx_0(498)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__r306_r11_r317,axiom,( k2_xcmplx_0(306,11) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r308_r9_r317,axiom,( k2_xcmplx_0(308,9) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r101_r131,axiom,( k2_xcmplx_0(30,101) = 131 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r10_r40,axiom,( k2_xcmplx_0(30,10) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r11_r41,axiom,( k2_xcmplx_0(30,11) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r126_r156,axiom,( k2_xcmplx_0(30,126) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r12_r42,axiom,( k2_xcmplx_0(30,12) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r149_r179,axiom,( k2_xcmplx_0(30,149) = 179 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r151_r181,axiom,( k2_xcmplx_0(30,151) = 181 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r157_r187,axiom,( k2_xcmplx_0(30,157) = 187 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r15_r45,axiom,( k2_xcmplx_0(30,15) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r160_r190,axiom,( k2_xcmplx_0(30,160) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r180_r210,axiom,( k2_xcmplx_0(30,180) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r184_r214,axiom,( k2_xcmplx_0(30,184) = 214 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r18_r48,axiom,( k2_xcmplx_0(30,18) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r190_r220,axiom,( k2_xcmplx_0(30,190) = 220 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r195_r225,axiom,( k2_xcmplx_0(30,195) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r198_r228,axiom,( k2_xcmplx_0(30,198) = 228 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r19_r49,axiom,( k2_xcmplx_0(30,19) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r1_r31,axiom,( k2_xcmplx_0(30,1) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r200_r230,axiom,( k2_xcmplx_0(30,200) = 230 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r20_r50,axiom,( k2_xcmplx_0(30,20) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r211_r241,axiom,( k2_xcmplx_0(30,211) = 241 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r21_r51,axiom,( k2_xcmplx_0(30,21) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r22_r52,axiom,( k2_xcmplx_0(30,22) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r246_r276,axiom,( k2_xcmplx_0(30,246) = 276 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r24_r54,axiom,( k2_xcmplx_0(30,24) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r252_r282,axiom,( k2_xcmplx_0(30,252) = 282 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r25_r55,axiom,( k2_xcmplx_0(30,25) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r280_r310,axiom,( k2_xcmplx_0(30,280) = 310 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r28_r58,axiom,( k2_xcmplx_0(30,28) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r2_r32,axiom,( k2_xcmplx_0(30,2) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r30_r60,axiom,( k2_xcmplx_0(30,30) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r31_r61,axiom,( k2_xcmplx_0(30,31) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r32_r62,axiom,( k2_xcmplx_0(30,32) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r35_r65,axiom,( k2_xcmplx_0(30,35) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r39_r69,axiom,( k2_xcmplx_0(30,39) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r40_r70,axiom,( k2_xcmplx_0(30,40) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r44_r74,axiom,( k2_xcmplx_0(30,44) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r4_r34,axiom,( k2_xcmplx_0(30,4) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r54_r84,axiom,( k2_xcmplx_0(30,54) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r55_r85,axiom,( k2_xcmplx_0(30,55) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r56_r86,axiom,( k2_xcmplx_0(30,56) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r58_r88,axiom,( k2_xcmplx_0(30,58) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r61_r91,axiom,( k2_xcmplx_0(30,61) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r638_r668,axiom,( k2_xcmplx_0(30,638) = 668 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r65_r95,axiom,( k2_xcmplx_0(30,65) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r67_r97,axiom,( k2_xcmplx_0(30,67) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r69_r99,axiom,( k2_xcmplx_0(30,69) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r6_r36,axiom,( k2_xcmplx_0(30,6) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r78_r108,axiom,( k2_xcmplx_0(30,78) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r80_r110,axiom,( k2_xcmplx_0(30,80) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r84_r114,axiom,( k2_xcmplx_0(30,84) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r30_r9_r39,axiom,( k2_xcmplx_0(30,9) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r30_rm10_r20,axiom,( k2_xcmplx_0(30,k4_xcmplx_0(10)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r30_rm148_rm118,axiom,( k2_xcmplx_0(30,k4_xcmplx_0(148)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__r30_rm1_r29,axiom,( k2_xcmplx_0(30,k4_xcmplx_0(1)) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r30_rm2_r28,axiom,( k2_xcmplx_0(30,k4_xcmplx_0(2)) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r30_rm56_rm26,axiom,( k2_xcmplx_0(30,k4_xcmplx_0(56)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__r30_rm6_r24,axiom,( k2_xcmplx_0(30,k4_xcmplx_0(6)) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r312_r5_r317,axiom,( k2_xcmplx_0(312,5) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r315_r2_r317,axiom,( k2_xcmplx_0(315,2) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r316_r1_r317,axiom,( k2_xcmplx_0(316,1) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r14_r45,axiom,( k2_xcmplx_0(31,14) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r15_r46,axiom,( k2_xcmplx_0(31,15) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r196_r227,axiom,( k2_xcmplx_0(31,196) = 227 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r19_r50,axiom,( k2_xcmplx_0(31,19) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r1_r32,axiom,( k2_xcmplx_0(31,1) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r205_r236,axiom,( k2_xcmplx_0(31,205) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r32_r63,axiom,( k2_xcmplx_0(31,32) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r38_r69,axiom,( k2_xcmplx_0(31,38) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r4_r35,axiom,( k2_xcmplx_0(31,4) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r71_r102,axiom,( k2_xcmplx_0(31,71) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r83_r114,axiom,( k2_xcmplx_0(31,83) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r8_r39,axiom,( k2_xcmplx_0(31,8) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r31_r90_r121,axiom,( k2_xcmplx_0(31,90) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r31_rm15_r16,axiom,( k2_xcmplx_0(31,k4_xcmplx_0(15)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r31_rm2_r29,axiom,( k2_xcmplx_0(31,k4_xcmplx_0(2)) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r105_r137,axiom,( k2_xcmplx_0(32,105) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r106_r138,axiom,( k2_xcmplx_0(32,106) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r108_r140,axiom,( k2_xcmplx_0(32,108) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r10_r42,axiom,( k2_xcmplx_0(32,10) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r112_r144,axiom,( k2_xcmplx_0(32,112) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r11_r43,axiom,( k2_xcmplx_0(32,11) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r128_r160,axiom,( k2_xcmplx_0(32,128) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r12_r44,axiom,( k2_xcmplx_0(32,12) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r13_r45,axiom,( k2_xcmplx_0(32,13) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r148_r180,axiom,( k2_xcmplx_0(32,148) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r14_r46,axiom,( k2_xcmplx_0(32,14) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r15_r47,axiom,( k2_xcmplx_0(32,15) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r162_r194,axiom,( k2_xcmplx_0(32,162) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r16_r48,axiom,( k2_xcmplx_0(32,16) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r17_r49,axiom,( k2_xcmplx_0(32,17) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r18_r50,axiom,( k2_xcmplx_0(32,18) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r196_r228,axiom,( k2_xcmplx_0(32,196) = 228 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r199_r231,axiom,( k2_xcmplx_0(32,199) = 231 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r19_r51,axiom,( k2_xcmplx_0(32,19) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r1_r33,axiom,( k2_xcmplx_0(32,1) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r201_r233,axiom,( k2_xcmplx_0(32,201) = 233 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r206_r238,axiom,( k2_xcmplx_0(32,206) = 238 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r20_r52,axiom,( k2_xcmplx_0(32,20) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r218_r250,axiom,( k2_xcmplx_0(32,218) = 250 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r219_r251,axiom,( k2_xcmplx_0(32,219) = 251 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r21_r53,axiom,( k2_xcmplx_0(32,21) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r22_r54,axiom,( k2_xcmplx_0(32,22) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r234_r266,axiom,( k2_xcmplx_0(32,234) = 266 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r23_r55,axiom,( k2_xcmplx_0(32,23) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r248_r280,axiom,( k2_xcmplx_0(32,248) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r24_r56,axiom,( k2_xcmplx_0(32,24) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r252_r284,axiom,( k2_xcmplx_0(32,252) = 284 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r256_r288,axiom,( k2_xcmplx_0(32,256) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r25_r57,axiom,( k2_xcmplx_0(32,25) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r266_r298,axiom,( k2_xcmplx_0(32,266) = 298 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r26_r58,axiom,( k2_xcmplx_0(32,26) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r27_r59,axiom,( k2_xcmplx_0(32,27) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r280_r312,axiom,( k2_xcmplx_0(32,280) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r28_r60,axiom,( k2_xcmplx_0(32,28) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r29_r61,axiom,( k2_xcmplx_0(32,29) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r2_r34,axiom,( k2_xcmplx_0(32,2) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r30_r62,axiom,( k2_xcmplx_0(32,30) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r312_r344,axiom,( k2_xcmplx_0(32,312) = 344 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r31_r63,axiom,( k2_xcmplx_0(32,31) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r324_r356,axiom,( k2_xcmplx_0(32,324) = 356 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r32_r64,axiom,( k2_xcmplx_0(32,32) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r3_r35,axiom,( k2_xcmplx_0(32,3) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r44_r76,axiom,( k2_xcmplx_0(32,44) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r451_r483,axiom,( k2_xcmplx_0(32,451) = 483 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r45_r77,axiom,( k2_xcmplx_0(32,45) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r46_r78,axiom,( k2_xcmplx_0(32,46) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r489_r521,axiom,( k2_xcmplx_0(32,489) = 521 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r48_r80,axiom,( k2_xcmplx_0(32,48) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r4_r36,axiom,( k2_xcmplx_0(32,4) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r508_r540,axiom,( k2_xcmplx_0(32,508) = 540 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r512_r544,axiom,( k2_xcmplx_0(32,512) = 544 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r52_r84,axiom,( k2_xcmplx_0(32,52) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r550_r582,axiom,( k2_xcmplx_0(32,550) = 582 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r56_r88,axiom,( k2_xcmplx_0(32,56) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r58_r90,axiom,( k2_xcmplx_0(32,58) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r5_r37,axiom,( k2_xcmplx_0(32,5) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r65_r97,axiom,( k2_xcmplx_0(32,65) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r668_r700,axiom,( k2_xcmplx_0(32,668) = 700 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r688_r720,axiom,( k2_xcmplx_0(32,688) = 720 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r68_r100,axiom,( k2_xcmplx_0(32,68) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r6_r38,axiom,( k2_xcmplx_0(32,6) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r72_r104,axiom,( k2_xcmplx_0(32,72) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r73_r105,axiom,( k2_xcmplx_0(32,73) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r772_r804,axiom,( k2_xcmplx_0(32,772) = 804 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r78_r110,axiom,( k2_xcmplx_0(32,78) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r7_r39,axiom,( k2_xcmplx_0(32,7) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r84_r116,axiom,( k2_xcmplx_0(32,84) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r87_r119,axiom,( k2_xcmplx_0(32,87) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r88_r120,axiom,( k2_xcmplx_0(32,88) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r8_r40,axiom,( k2_xcmplx_0(32,8) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r92_r124,axiom,( k2_xcmplx_0(32,92) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r94_r126,axiom,( k2_xcmplx_0(32,94) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r32_r9_r41,axiom,( k2_xcmplx_0(32,9) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm12_r20,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(12)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm1_r31,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(1)) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm27_r5,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(27)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm2_r30,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(2)) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm30_r2,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(30)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm32_r0,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(32)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm44_rm12,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(44)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm50_rm18,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(50)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm54_rm22,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(54)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm60_rm28,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(60)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm66_rm34,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(66)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__r32_rm8_r24,axiom,( k2_xcmplx_0(32,k4_xcmplx_0(8)) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r332_r121_r453,axiom,( k2_xcmplx_0(332,121) = 453 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r100_r133,axiom,( k2_xcmplx_0(33,100) = 133 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r10_r43,axiom,( k2_xcmplx_0(33,10) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r15_r48,axiom,( k2_xcmplx_0(33,15) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r1_r34,axiom,( k2_xcmplx_0(33,1) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r48_r81,axiom,( k2_xcmplx_0(33,48) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r4_r37,axiom,( k2_xcmplx_0(33,4) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r72_r105,axiom,( k2_xcmplx_0(33,72) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r33_r8_r41,axiom,( k2_xcmplx_0(33,8) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r33_rm7_r26,axiom,( k2_xcmplx_0(33,k4_xcmplx_0(7)) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r342_r1_r343,axiom,( k2_xcmplx_0(342,1) = 343 )).
fof(rqRealAdd__k2_xcmplx_0__r342_r240_r582,axiom,( k2_xcmplx_0(342,240) = 582 )).
fof(rqRealAdd__k2_xcmplx_0__r342_r414_r756,axiom,( k2_xcmplx_0(342,414) = 756 )).
fof(rqRealAdd__k2_xcmplx_0__r342_r504_r846,axiom,( k2_xcmplx_0(342,504) = 846 )).
fof(rqRealAdd__k2_xcmplx_0__r342_r534_r876,axiom,( k2_xcmplx_0(342,534) = 876 )).
fof(rqRealAdd__k2_xcmplx_0__r343_r1_r344,axiom,( k2_xcmplx_0(343,1) = 344 )).
fof(rqRealAdd__k2_xcmplx_0__r344_r1_r345,axiom,( k2_xcmplx_0(344,1) = 345 )).
fof(rqRealAdd__k2_xcmplx_0__r345_r1_r346,axiom,( k2_xcmplx_0(345,1) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__r346_r1_r347,axiom,( k2_xcmplx_0(346,1) = 347 )).
fof(rqRealAdd__k2_xcmplx_0__r347_r1_r348,axiom,( k2_xcmplx_0(347,1) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r348_r1_r349,axiom,( k2_xcmplx_0(348,1) = 349 )).
fof(rqRealAdd__k2_xcmplx_0__r348_r9_r357,axiom,( k2_xcmplx_0(348,9) = 357 )).
fof(rqRealAdd__k2_xcmplx_0__r348_rm18_r330,axiom,( k2_xcmplx_0(348,k4_xcmplx_0(18)) = 330 )).
fof(rqRealAdd__k2_xcmplx_0__r349_r1_r350,axiom,( k2_xcmplx_0(349,1) = 350 )).
fof(rqRealAdd__k2_xcmplx_0__r34_r13_r47,axiom,( k2_xcmplx_0(34,13) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r34_r1_r35,axiom,( k2_xcmplx_0(34,1) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r34_r356_r390,axiom,( k2_xcmplx_0(34,356) = 390 )).
fof(rqRealAdd__k2_xcmplx_0__r34_r3_r37,axiom,( k2_xcmplx_0(34,3) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r34_r7_r41,axiom,( k2_xcmplx_0(34,7) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r34_r9_r43,axiom,( k2_xcmplx_0(34,9) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r34_rm248_rm214,axiom,( k2_xcmplx_0(34,k4_xcmplx_0(248)) = k4_xcmplx_0(214) )).
fof(rqRealAdd__k2_xcmplx_0__r34_rm2_r32,axiom,( k2_xcmplx_0(34,k4_xcmplx_0(2)) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r34_rm32_r2,axiom,( k2_xcmplx_0(34,k4_xcmplx_0(32)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r350_r1_r351,axiom,( k2_xcmplx_0(350,1) = 351 )).
fof(rqRealAdd__k2_xcmplx_0__r351_r1_r352,axiom,( k2_xcmplx_0(351,1) = 352 )).
fof(rqRealAdd__k2_xcmplx_0__r352_r1_r353,axiom,( k2_xcmplx_0(352,1) = 353 )).
fof(rqRealAdd__k2_xcmplx_0__r353_r1_r354,axiom,( k2_xcmplx_0(353,1) = 354 )).
fof(rqRealAdd__k2_xcmplx_0__r354_r1_r355,axiom,( k2_xcmplx_0(354,1) = 355 )).
fof(rqRealAdd__k2_xcmplx_0__r355_r1_r356,axiom,( k2_xcmplx_0(355,1) = 356 )).
fof(rqRealAdd__k2_xcmplx_0__r356_r1_r357,axiom,( k2_xcmplx_0(356,1) = 357 )).
fof(rqRealAdd__k2_xcmplx_0__r356_r34_r390,axiom,( k2_xcmplx_0(356,34) = 390 )).
fof(rqRealAdd__k2_xcmplx_0__r357_r1_r358,axiom,( k2_xcmplx_0(357,1) = 358 )).
fof(rqRealAdd__k2_xcmplx_0__r358_r1_r359,axiom,( k2_xcmplx_0(358,1) = 359 )).
fof(rqRealAdd__k2_xcmplx_0__r359_r1_r360,axiom,( k2_xcmplx_0(359,1) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r12_r47,axiom,( k2_xcmplx_0(35,12) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r1_r36,axiom,( k2_xcmplx_0(35,1) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r21_r56,axiom,( k2_xcmplx_0(35,21) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r26_r61,axiom,( k2_xcmplx_0(35,26) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r2_r37,axiom,( k2_xcmplx_0(35,2) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r36_r71,axiom,( k2_xcmplx_0(35,36) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r54_r89,axiom,( k2_xcmplx_0(35,54) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r66_r101,axiom,( k2_xcmplx_0(35,66) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r69_r104,axiom,( k2_xcmplx_0(35,69) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r6_r41,axiom,( k2_xcmplx_0(35,6) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r35_r72_r107,axiom,( k2_xcmplx_0(35,72) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r35_rm3_r32,axiom,( k2_xcmplx_0(35,k4_xcmplx_0(3)) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r35_rn38d5_rn213d5,axiom,( k2_xcmplx_0(35,k7_xcmplx_0(38,5)) = k7_xcmplx_0(213,5) )).
fof(rqRealAdd__k2_xcmplx_0__r360_r1_r361,axiom,( k2_xcmplx_0(360,1) = 361 )).
fof(rqRealAdd__k2_xcmplx_0__r360_r54_r414,axiom,( k2_xcmplx_0(360,54) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r360_rm162_r198,axiom,( k2_xcmplx_0(360,k4_xcmplx_0(162)) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r361_r1_r362,axiom,( k2_xcmplx_0(361,1) = 362 )).
fof(rqRealAdd__k2_xcmplx_0__r362_r1_r363,axiom,( k2_xcmplx_0(362,1) = 363 )).
fof(rqRealAdd__k2_xcmplx_0__r363_r1_r364,axiom,( k2_xcmplx_0(363,1) = 364 )).
fof(rqRealAdd__k2_xcmplx_0__r364_r118_r482,axiom,( k2_xcmplx_0(364,118) = 482 )).
fof(rqRealAdd__k2_xcmplx_0__r364_r1_r365,axiom,( k2_xcmplx_0(364,1) = 365 )).
fof(rqRealAdd__k2_xcmplx_0__r365_rm23_r342,axiom,( k2_xcmplx_0(365,k4_xcmplx_0(23)) = 342 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r100_r136,axiom,( k2_xcmplx_0(36,100) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r108_r144,axiom,( k2_xcmplx_0(36,108) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r109_r145,axiom,( k2_xcmplx_0(36,109) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r110_r146,axiom,( k2_xcmplx_0(36,110) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r113_r149,axiom,( k2_xcmplx_0(36,113) = 149 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r114_r150,axiom,( k2_xcmplx_0(36,114) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r115_r151,axiom,( k2_xcmplx_0(36,115) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r118_r154,axiom,( k2_xcmplx_0(36,118) = 154 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r120_r156,axiom,( k2_xcmplx_0(36,120) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r124_r160,axiom,( k2_xcmplx_0(36,124) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r126_r162,axiom,( k2_xcmplx_0(36,126) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r128_r164,axiom,( k2_xcmplx_0(36,128) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r12_r48,axiom,( k2_xcmplx_0(36,12) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r132_r168,axiom,( k2_xcmplx_0(36,132) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r138_r174,axiom,( k2_xcmplx_0(36,138) = 174 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r140_r176,axiom,( k2_xcmplx_0(36,140) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r143_r179,axiom,( k2_xcmplx_0(36,143) = 179 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r145_r181,axiom,( k2_xcmplx_0(36,145) = 181 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r156_r192,axiom,( k2_xcmplx_0(36,156) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r159_r195,axiom,( k2_xcmplx_0(36,159) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r15_r51,axiom,( k2_xcmplx_0(36,15) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r160_r196,axiom,( k2_xcmplx_0(36,160) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r168_r204,axiom,( k2_xcmplx_0(36,168) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r169_r205,axiom,( k2_xcmplx_0(36,169) = 205 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r16_r52,axiom,( k2_xcmplx_0(36,16) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r171_r207,axiom,( k2_xcmplx_0(36,171) = 207 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r178_r214,axiom,( k2_xcmplx_0(36,178) = 214 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r17_r53,axiom,( k2_xcmplx_0(36,17) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r189_r225,axiom,( k2_xcmplx_0(36,189) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r18_r54,axiom,( k2_xcmplx_0(36,18) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r192_r228,axiom,( k2_xcmplx_0(36,192) = 228 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r193_r229,axiom,( k2_xcmplx_0(36,193) = 229 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r196_r232,axiom,( k2_xcmplx_0(36,196) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r19_r55,axiom,( k2_xcmplx_0(36,19) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r1_r37,axiom,( k2_xcmplx_0(36,1) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r204_r240,axiom,( k2_xcmplx_0(36,204) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r206_r242,axiom,( k2_xcmplx_0(36,206) = 242 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r210_r246,axiom,( k2_xcmplx_0(36,210) = 246 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r215_r251,axiom,( k2_xcmplx_0(36,215) = 251 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r216_r252,axiom,( k2_xcmplx_0(36,216) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r21_r57,axiom,( k2_xcmplx_0(36,21) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r223_r259,axiom,( k2_xcmplx_0(36,223) = 259 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r228_r264,axiom,( k2_xcmplx_0(36,228) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r229_r265,axiom,( k2_xcmplx_0(36,229) = 265 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r22_r58,axiom,( k2_xcmplx_0(36,22) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r234_r270,axiom,( k2_xcmplx_0(36,234) = 270 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r236_r272,axiom,( k2_xcmplx_0(36,236) = 272 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r23_r59,axiom,( k2_xcmplx_0(36,23) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r24_r60,axiom,( k2_xcmplx_0(36,24) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r252_r288,axiom,( k2_xcmplx_0(36,252) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r259_r295,axiom,( k2_xcmplx_0(36,259) = 295 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r25_r61,axiom,( k2_xcmplx_0(36,25) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r260_r296,axiom,( k2_xcmplx_0(36,260) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r271_r307,axiom,( k2_xcmplx_0(36,271) = 307 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r273_r309,axiom,( k2_xcmplx_0(36,273) = 309 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r27_r63,axiom,( k2_xcmplx_0(36,27) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r282_r318,axiom,( k2_xcmplx_0(36,282) = 318 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r285_r321,axiom,( k2_xcmplx_0(36,285) = 321 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r287_r323,axiom,( k2_xcmplx_0(36,287) = 323 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r288_r324,axiom,( k2_xcmplx_0(36,288) = 324 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r289_r325,axiom,( k2_xcmplx_0(36,289) = 325 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r28_r64,axiom,( k2_xcmplx_0(36,28) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r30_r66,axiom,( k2_xcmplx_0(36,30) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r310_r346,axiom,( k2_xcmplx_0(36,310) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r316_r352,axiom,( k2_xcmplx_0(36,316) = 352 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r321_r357,axiom,( k2_xcmplx_0(36,321) = 357 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r32_r68,axiom,( k2_xcmplx_0(36,32) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r330_r366,axiom,( k2_xcmplx_0(36,330) = 366 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r336_r372,axiom,( k2_xcmplx_0(36,336) = 372 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r342_r378,axiom,( k2_xcmplx_0(36,342) = 378 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r344_r380,axiom,( k2_xcmplx_0(36,344) = 380 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r34_r70,axiom,( k2_xcmplx_0(36,34) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r35_r71,axiom,( k2_xcmplx_0(36,35) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r36_r72,axiom,( k2_xcmplx_0(36,36) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r374_r410,axiom,( k2_xcmplx_0(36,374) = 410 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r378_r414,axiom,( k2_xcmplx_0(36,378) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r37_r73,axiom,( k2_xcmplx_0(36,37) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r38_r74,axiom,( k2_xcmplx_0(36,38) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r3_r39,axiom,( k2_xcmplx_0(36,3) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r40_r76,axiom,( k2_xcmplx_0(36,40) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r42_r78,axiom,( k2_xcmplx_0(36,42) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r44_r80,axiom,( k2_xcmplx_0(36,44) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r457_r493,axiom,( k2_xcmplx_0(36,457) = 493 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r45_r81,axiom,( k2_xcmplx_0(36,45) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r467_r503,axiom,( k2_xcmplx_0(36,467) = 503 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r474_r510,axiom,( k2_xcmplx_0(36,474) = 510 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r477_r513,axiom,( k2_xcmplx_0(36,477) = 513 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r47_r83,axiom,( k2_xcmplx_0(36,47) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r48_r84,axiom,( k2_xcmplx_0(36,48) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r4_r40,axiom,( k2_xcmplx_0(36,4) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r52_r88,axiom,( k2_xcmplx_0(36,52) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r53_r89,axiom,( k2_xcmplx_0(36,53) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r54_r90,axiom,( k2_xcmplx_0(36,54) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r553_r589,axiom,( k2_xcmplx_0(36,553) = 589 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r56_r92,axiom,( k2_xcmplx_0(36,56) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r57_r93,axiom,( k2_xcmplx_0(36,57) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r58_r94,axiom,( k2_xcmplx_0(36,58) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r5_r41,axiom,( k2_xcmplx_0(36,5) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r600_r636,axiom,( k2_xcmplx_0(36,600) = 636 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r607_r643,axiom,( k2_xcmplx_0(36,607) = 643 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r60_r96,axiom,( k2_xcmplx_0(36,60) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r618_r654,axiom,( k2_xcmplx_0(36,618) = 654 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r61_r97,axiom,( k2_xcmplx_0(36,61) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r624_r660,axiom,( k2_xcmplx_0(36,624) = 660 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r62_r98,axiom,( k2_xcmplx_0(36,62) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r64_r100,axiom,( k2_xcmplx_0(36,64) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r660_r696,axiom,( k2_xcmplx_0(36,660) = 696 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r68_r104,axiom,( k2_xcmplx_0(36,68) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r6_r42,axiom,( k2_xcmplx_0(36,6) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r70_r106,axiom,( k2_xcmplx_0(36,70) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r71_r107,axiom,( k2_xcmplx_0(36,71) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r72_r108,axiom,( k2_xcmplx_0(36,72) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r73_r109,axiom,( k2_xcmplx_0(36,73) = 109 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r74_r110,axiom,( k2_xcmplx_0(36,74) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r75_r111,axiom,( k2_xcmplx_0(36,75) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r7_r43,axiom,( k2_xcmplx_0(36,7) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r82_r118,axiom,( k2_xcmplx_0(36,82) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r84_r120,axiom,( k2_xcmplx_0(36,84) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r85_r121,axiom,( k2_xcmplx_0(36,85) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r88_r124,axiom,( k2_xcmplx_0(36,88) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r90_r126,axiom,( k2_xcmplx_0(36,90) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r94_r130,axiom,( k2_xcmplx_0(36,94) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r96_r132,axiom,( k2_xcmplx_0(36,96) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r99_r135,axiom,( k2_xcmplx_0(36,99) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r36_r9_r45,axiom,( k2_xcmplx_0(36,9) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm10_r26,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(10)) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm12_r24,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(12)) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm16_r20,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(16)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm18_r18,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(18)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm1_r35,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(1)) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm217_rm181,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(217)) = k4_xcmplx_0(181) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm227_rm191,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(227)) = k4_xcmplx_0(191) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm228_rm192,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(228)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm236_rm200,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(236)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm24_r12,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(24)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm27_r9,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(27)) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm32_r4,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(32)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm36_r0,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(36)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm38_rm2,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(38)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm39_rm3,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(39)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm48_rm12,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(48)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm67_rm31,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(67)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm69_rm33,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(69)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm6_r30,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(6)) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm72_rm36,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(72)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__r36_rm80_rm44,axiom,( k2_xcmplx_0(36,k4_xcmplx_0(80)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__r370_r117_r487,axiom,( k2_xcmplx_0(370,117) = 487 )).
fof(rqRealAdd__k2_xcmplx_0__r37_r1_r38,axiom,( k2_xcmplx_0(37,1) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r108_r146,axiom,( k2_xcmplx_0(38,108) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r110_r148,axiom,( k2_xcmplx_0(38,110) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r11_r49,axiom,( k2_xcmplx_0(38,11) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r15_r53,axiom,( k2_xcmplx_0(38,15) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r162_r200,axiom,( k2_xcmplx_0(38,162) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r190_r228,axiom,( k2_xcmplx_0(38,190) = 228 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r1_r39,axiom,( k2_xcmplx_0(38,1) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r236_r274,axiom,( k2_xcmplx_0(38,236) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r290_r328,axiom,( k2_xcmplx_0(38,290) = 328 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r2_r40,axiom,( k2_xcmplx_0(38,2) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r3_r41,axiom,( k2_xcmplx_0(38,3) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r5_r43,axiom,( k2_xcmplx_0(38,5) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r64_r102,axiom,( k2_xcmplx_0(38,64) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r70_r108,axiom,( k2_xcmplx_0(38,70) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r8_r46,axiom,( k2_xcmplx_0(38,8) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r38_r9_r47,axiom,( k2_xcmplx_0(38,9) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r38_rm18_r20,axiom,( k2_xcmplx_0(38,k4_xcmplx_0(18)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r38_rm54_rm16,axiom,( k2_xcmplx_0(38,k4_xcmplx_0(54)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r38_rm94_rm56,axiom,( k2_xcmplx_0(38,k4_xcmplx_0(94)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__r39_r12_r51,axiom,( k2_xcmplx_0(39,12) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r15_r54,axiom,( k2_xcmplx_0(39,15) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r18_r57,axiom,( k2_xcmplx_0(39,18) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r1_r40,axiom,( k2_xcmplx_0(39,1) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r20_r59,axiom,( k2_xcmplx_0(39,20) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r22_r61,axiom,( k2_xcmplx_0(39,22) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r2_r41,axiom,( k2_xcmplx_0(39,2) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r40_r79,axiom,( k2_xcmplx_0(39,40) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r4_r43,axiom,( k2_xcmplx_0(39,4) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r57_r96,axiom,( k2_xcmplx_0(39,57) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r39_r8_r47,axiom,( k2_xcmplx_0(39,8) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r39_rm1_r38,axiom,( k2_xcmplx_0(39,k4_xcmplx_0(1)) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3,axiom,( k2_xcmplx_0(3,0) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r105_r108,axiom,( k2_xcmplx_0(3,105) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r107_r110,axiom,( k2_xcmplx_0(3,107) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r108_r111,axiom,( k2_xcmplx_0(3,108) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r10_r13,axiom,( k2_xcmplx_0(3,10) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r113_r116,axiom,( k2_xcmplx_0(3,113) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r11_r14,axiom,( k2_xcmplx_0(3,11) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r121_r124,axiom,( k2_xcmplx_0(3,121) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r123_r126,axiom,( k2_xcmplx_0(3,123) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r126_r129,axiom,( k2_xcmplx_0(3,126) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r12_r15,axiom,( k2_xcmplx_0(3,12) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r130_r133,axiom,( k2_xcmplx_0(3,130) = 133 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r133_r136,axiom,( k2_xcmplx_0(3,133) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r136_r139,axiom,( k2_xcmplx_0(3,136) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r137_r140,axiom,( k2_xcmplx_0(3,137) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r13_r16,axiom,( k2_xcmplx_0(3,13) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r142_r145,axiom,( k2_xcmplx_0(3,142) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r14_r17,axiom,( k2_xcmplx_0(3,14) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r155_r158,axiom,( k2_xcmplx_0(3,155) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r15_r18,axiom,( k2_xcmplx_0(3,15) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r160_r163,axiom,( k2_xcmplx_0(3,160) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r167_r170,axiom,( k2_xcmplx_0(3,167) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r168_r171,axiom,( k2_xcmplx_0(3,168) = 171 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r16_r19,axiom,( k2_xcmplx_0(3,16) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r170_r173,axiom,( k2_xcmplx_0(3,170) = 173 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r177_r180,axiom,( k2_xcmplx_0(3,177) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r17_r20,axiom,( k2_xcmplx_0(3,17) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r180_r183,axiom,( k2_xcmplx_0(3,180) = 183 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r184_r187,axiom,( k2_xcmplx_0(3,184) = 187 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r18_r21,axiom,( k2_xcmplx_0(3,18) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r192_r195,axiom,( k2_xcmplx_0(3,192) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r196_r199,axiom,( k2_xcmplx_0(3,196) = 199 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r19_r22,axiom,( k2_xcmplx_0(3,19) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4,axiom,( k2_xcmplx_0(3,1) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r204_r207,axiom,( k2_xcmplx_0(3,204) = 207 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r207_r210,axiom,( k2_xcmplx_0(3,207) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r20_r23,axiom,( k2_xcmplx_0(3,20) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r212_r215,axiom,( k2_xcmplx_0(3,212) = 215 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r213_r216,axiom,( k2_xcmplx_0(3,213) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r21_r24,axiom,( k2_xcmplx_0(3,21) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r225_r228,axiom,( k2_xcmplx_0(3,225) = 228 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r229_r232,axiom,( k2_xcmplx_0(3,229) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r22_r25,axiom,( k2_xcmplx_0(3,22) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r231_r234,axiom,( k2_xcmplx_0(3,231) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r235_r238,axiom,( k2_xcmplx_0(3,235) = 238 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r240_r243,axiom,( k2_xcmplx_0(3,240) = 243 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r247_r250,axiom,( k2_xcmplx_0(3,247) = 250 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r24_r27,axiom,( k2_xcmplx_0(3,24) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r25_r28,axiom,( k2_xcmplx_0(3,25) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r26_r29,axiom,( k2_xcmplx_0(3,26) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r27_r30,axiom,( k2_xcmplx_0(3,27) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r28_r31,axiom,( k2_xcmplx_0(3,28) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r290_r293,axiom,( k2_xcmplx_0(3,290) = 293 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r293_r296,axiom,( k2_xcmplx_0(3,293) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r29_r32,axiom,( k2_xcmplx_0(3,29) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5,axiom,( k2_xcmplx_0(3,2) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r301_r304,axiom,( k2_xcmplx_0(3,301) = 304 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r308_r311,axiom,( k2_xcmplx_0(3,308) = 311 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r30_r33,axiom,( k2_xcmplx_0(3,30) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r318_r321,axiom,( k2_xcmplx_0(3,318) = 321 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r31_r34,axiom,( k2_xcmplx_0(3,31) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r326_r329,axiom,( k2_xcmplx_0(3,326) = 329 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r32_r35,axiom,( k2_xcmplx_0(3,32) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r33_r36,axiom,( k2_xcmplx_0(3,33) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r34_r37,axiom,( k2_xcmplx_0(3,34) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r354_r357,axiom,( k2_xcmplx_0(3,354) = 357 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r35_r38,axiom,( k2_xcmplx_0(3,35) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r360_r363,axiom,( k2_xcmplx_0(3,360) = 363 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r36_r39,axiom,( k2_xcmplx_0(3,36) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r375_r378,axiom,( k2_xcmplx_0(3,375) = 378 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r379_r382,axiom,( k2_xcmplx_0(3,379) = 382 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r37_r40,axiom,( k2_xcmplx_0(3,37) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r38_r41,axiom,( k2_xcmplx_0(3,38) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r39_r42,axiom,( k2_xcmplx_0(3,39) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r3_r6,axiom,( k2_xcmplx_0(3,3) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r400_r403,axiom,( k2_xcmplx_0(3,400) = 403 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r40_r43,axiom,( k2_xcmplx_0(3,40) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r417_r420,axiom,( k2_xcmplx_0(3,417) = 420 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r41_r44,axiom,( k2_xcmplx_0(3,41) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r424_r427,axiom,( k2_xcmplx_0(3,424) = 427 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r42_r45,axiom,( k2_xcmplx_0(3,42) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r43_r46,axiom,( k2_xcmplx_0(3,43) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r44_r47,axiom,( k2_xcmplx_0(3,44) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r45_r48,axiom,( k2_xcmplx_0(3,45) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r46_r49,axiom,( k2_xcmplx_0(3,46) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r47_r50,axiom,( k2_xcmplx_0(3,47) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r48_r51,axiom,( k2_xcmplx_0(3,48) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r490_r493,axiom,( k2_xcmplx_0(3,490) = 493 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r4_r7,axiom,( k2_xcmplx_0(3,4) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r50_r53,axiom,( k2_xcmplx_0(3,50) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r510_r513,axiom,( k2_xcmplx_0(3,510) = 513 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r51_r54,axiom,( k2_xcmplx_0(3,51) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r522_r525,axiom,( k2_xcmplx_0(3,522) = 525 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r52_r55,axiom,( k2_xcmplx_0(3,52) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r53_r56,axiom,( k2_xcmplx_0(3,53) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r546_r549,axiom,( k2_xcmplx_0(3,546) = 549 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r56_r59,axiom,( k2_xcmplx_0(3,56) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r57_r60,axiom,( k2_xcmplx_0(3,57) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r59_r62,axiom,( k2_xcmplx_0(3,59) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r5_r8,axiom,( k2_xcmplx_0(3,5) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r60_r63,axiom,( k2_xcmplx_0(3,60) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r62_r65,axiom,( k2_xcmplx_0(3,62) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r636_r639,axiom,( k2_xcmplx_0(3,636) = 639 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r643_r646,axiom,( k2_xcmplx_0(3,643) = 646 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r64_r67,axiom,( k2_xcmplx_0(3,64) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r65_r68,axiom,( k2_xcmplx_0(3,65) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r672_r675,axiom,( k2_xcmplx_0(3,672) = 675 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r68_r71,axiom,( k2_xcmplx_0(3,68) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r69_r72,axiom,( k2_xcmplx_0(3,69) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r6_r9,axiom,( k2_xcmplx_0(3,6) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r70_r73,axiom,( k2_xcmplx_0(3,70) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r72_r75,axiom,( k2_xcmplx_0(3,72) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r769_r772,axiom,( k2_xcmplx_0(3,769) = 772 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r76_r79,axiom,( k2_xcmplx_0(3,76) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r77_r80,axiom,( k2_xcmplx_0(3,77) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r7_r10,axiom,( k2_xcmplx_0(3,7) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r80_r83,axiom,( k2_xcmplx_0(3,80) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r81_r84,axiom,( k2_xcmplx_0(3,81) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r82_r85,axiom,( k2_xcmplx_0(3,82) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r83_r86,axiom,( k2_xcmplx_0(3,83) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r84_r87,axiom,( k2_xcmplx_0(3,84) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r85_r88,axiom,( k2_xcmplx_0(3,85) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r87_r90,axiom,( k2_xcmplx_0(3,87) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r89_r92,axiom,( k2_xcmplx_0(3,89) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r8_r11,axiom,( k2_xcmplx_0(3,8) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r91_r94,axiom,( k2_xcmplx_0(3,91) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r95_r98,axiom,( k2_xcmplx_0(3,95) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r96_r99,axiom,( k2_xcmplx_0(3,96) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r976_r979,axiom,( k2_xcmplx_0(3,976) = 979 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r97_r100,axiom,( k2_xcmplx_0(3,97) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r98_r101,axiom,( k2_xcmplx_0(3,98) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r3_r9_r12,axiom,( k2_xcmplx_0(3,9) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm10_rm7,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(10)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm11_rm8,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(11)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm12_rm9,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(12)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm13_rm10,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(13)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm140_rm137,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(140)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm14_rm11,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(14)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm15_rm12,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(15)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm16_rm13,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(16)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm17_rm14,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(17)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm19_rm16,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(19)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(1)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm20_rm17,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(20)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm21_rm18,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(21)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm22_rm19,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(22)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm239_rm236,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(239)) = k4_xcmplx_0(236) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm23_rm20,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(23)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm242_rm239,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(242)) = k4_xcmplx_0(239) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm25_rm22,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(25)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm26_rm23,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(26)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm28_rm25,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(28)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(2)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm30_rm27,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(30)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm31_rm28,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(31)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm32_rm29,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(32)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm37_rm34,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(37)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(3)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm424_rm421,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(424)) = k4_xcmplx_0(421) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm42_rm39,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(42)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm44_rm41,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(44)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(4)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm52_rm49,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(52)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm547_rm544,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(547)) = k4_xcmplx_0(544) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm5_rm2,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(5)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm60_rm57,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(60)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm68_rm65,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(68)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm6_rm3,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(6)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm7_rm4,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(7)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm8_rm5,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(8)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm90_rm87,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(90)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rm9_rm6,axiom,( k2_xcmplx_0(3,k4_xcmplx_0(9)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn1d2_rn7d2,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn2d3_rn11d3,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(2,3)) = k7_xcmplx_0(11,3) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn32d5_rn47d5,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(32,5)) = k7_xcmplx_0(47,5) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn3d2_rn9d2,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(3,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn49d2_rn55d2,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(49,2)) = k7_xcmplx_0(55,2) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn4d3_rn13d3,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(4,3)) = k7_xcmplx_0(13,3) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn4d5_rn19d5,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(4,5)) = k7_xcmplx_0(19,5) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rn9d8_rn33d8,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(9,8)) = k7_xcmplx_0(33,8) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rnm1d2_rn5d2,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__r3_rnm1d9_rn26d9,axiom,( k2_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(26,9) )).
fof(rqRealAdd__k2_xcmplx_0__r40_r15_r55,axiom,( k2_xcmplx_0(40,15) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r173_r213,axiom,( k2_xcmplx_0(40,173) = 213 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r1_r41,axiom,( k2_xcmplx_0(40,1) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r23_r63,axiom,( k2_xcmplx_0(40,23) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r316_r356,axiom,( k2_xcmplx_0(40,316) = 356 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r36_r76,axiom,( k2_xcmplx_0(40,36) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r37_r77,axiom,( k2_xcmplx_0(40,37) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r3_r43,axiom,( k2_xcmplx_0(40,3) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r40_r80,axiom,( k2_xcmplx_0(40,40) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r42_r82,axiom,( k2_xcmplx_0(40,42) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r4_r44,axiom,( k2_xcmplx_0(40,4) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r64_r104,axiom,( k2_xcmplx_0(40,64) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r6_r46,axiom,( k2_xcmplx_0(40,6) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r73_r113,axiom,( k2_xcmplx_0(40,73) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r7_r47,axiom,( k2_xcmplx_0(40,7) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r40_r80_r120,axiom,( k2_xcmplx_0(40,80) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm12_r28,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(12)) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm143_rm103,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(143)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm156_rm116,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(156)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm1_r39,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(1)) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm26_r14,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(26)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm429_rm389,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(429)) = k4_xcmplx_0(389) )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm60_rm20,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(60)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r40_rm78_rm38,axiom,( k2_xcmplx_0(40,k4_xcmplx_0(78)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__r416_r512_r928,axiom,( k2_xcmplx_0(416,512) = 928 )).
fof(rqRealAdd__k2_xcmplx_0__r41_r12_r53,axiom,( k2_xcmplx_0(41,12) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r41_r1_r42,axiom,( k2_xcmplx_0(41,1) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r41_r40_r81,axiom,( k2_xcmplx_0(41,40) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r41_r6_r47,axiom,( k2_xcmplx_0(41,6) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r420_rm1_r419,axiom,( k2_xcmplx_0(420,k4_xcmplx_0(1)) = 419 )).
fof(rqRealAdd__k2_xcmplx_0__r420_rm2_r418,axiom,( k2_xcmplx_0(420,k4_xcmplx_0(2)) = 418 )).
fof(rqRealAdd__k2_xcmplx_0__r420_rm6_r414,axiom,( k2_xcmplx_0(420,k4_xcmplx_0(6)) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r102_r144,axiom,( k2_xcmplx_0(42,102) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r107_r149,axiom,( k2_xcmplx_0(42,107) = 149 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r10_r52,axiom,( k2_xcmplx_0(42,10) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r120_r162,axiom,( k2_xcmplx_0(42,120) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r127_r169,axiom,( k2_xcmplx_0(42,127) = 169 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r12_r54,axiom,( k2_xcmplx_0(42,12) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r138_r180,axiom,( k2_xcmplx_0(42,138) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r145_r187,axiom,( k2_xcmplx_0(42,145) = 187 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r146_r188,axiom,( k2_xcmplx_0(42,146) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r156_r198,axiom,( k2_xcmplx_0(42,156) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r15_r57,axiom,( k2_xcmplx_0(42,15) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r160_r202,axiom,( k2_xcmplx_0(42,160) = 202 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r174_r216,axiom,( k2_xcmplx_0(42,174) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r18_r60,axiom,( k2_xcmplx_0(42,18) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r194_r236,axiom,( k2_xcmplx_0(42,194) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r19_r61,axiom,( k2_xcmplx_0(42,19) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r1_r43,axiom,( k2_xcmplx_0(42,1) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r20_r62,axiom,( k2_xcmplx_0(42,20) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r211_r253,axiom,( k2_xcmplx_0(42,211) = 253 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r22_r64,axiom,( k2_xcmplx_0(42,22) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r232_r274,axiom,( k2_xcmplx_0(42,232) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r274_r316,axiom,( k2_xcmplx_0(42,274) = 316 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r28_r70,axiom,( k2_xcmplx_0(42,28) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r29_r71,axiom,( k2_xcmplx_0(42,29) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r31_r73,axiom,( k2_xcmplx_0(42,31) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r335_r377,axiom,( k2_xcmplx_0(42,335) = 377 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r36_r78,axiom,( k2_xcmplx_0(42,36) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r47_r89,axiom,( k2_xcmplx_0(42,47) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r492_r534,axiom,( k2_xcmplx_0(42,492) = 534 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r510_r552,axiom,( k2_xcmplx_0(42,510) = 552 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r52_r94,axiom,( k2_xcmplx_0(42,52) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r54_r96,axiom,( k2_xcmplx_0(42,54) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r59_r101,axiom,( k2_xcmplx_0(42,59) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r5_r47,axiom,( k2_xcmplx_0(42,5) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r60_r102,axiom,( k2_xcmplx_0(42,60) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r64_r106,axiom,( k2_xcmplx_0(42,64) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r6_r48,axiom,( k2_xcmplx_0(42,6) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r756_r798,axiom,( k2_xcmplx_0(42,756) = 798 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r77_r119,axiom,( k2_xcmplx_0(42,77) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r78_r120,axiom,( k2_xcmplx_0(42,78) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r80_r122,axiom,( k2_xcmplx_0(42,80) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r84_r126,axiom,( k2_xcmplx_0(42,84) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r89_r131,axiom,( k2_xcmplx_0(42,89) = 131 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r90_r132,axiom,( k2_xcmplx_0(42,90) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r42_r96_r138,axiom,( k2_xcmplx_0(42,96) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r42_rm12_r30,axiom,( k2_xcmplx_0(42,k4_xcmplx_0(12)) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r42_rm22_r20,axiom,( k2_xcmplx_0(42,k4_xcmplx_0(22)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r42_rm28_r14,axiom,( k2_xcmplx_0(42,k4_xcmplx_0(28)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r42_rm72_rm30,axiom,( k2_xcmplx_0(42,k4_xcmplx_0(72)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__r43_r1_r44,axiom,( k2_xcmplx_0(43,1) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r43_r210_r253,axiom,( k2_xcmplx_0(43,210) = 253 )).
fof(rqRealAdd__k2_xcmplx_0__r43_r6_r49,axiom,( k2_xcmplx_0(43,6) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r18_r62,axiom,( k2_xcmplx_0(44,18) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r1_r45,axiom,( k2_xcmplx_0(44,1) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r20_r64,axiom,( k2_xcmplx_0(44,20) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r3_r47,axiom,( k2_xcmplx_0(44,3) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r42_r86,axiom,( k2_xcmplx_0(44,42) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r44_r88,axiom,( k2_xcmplx_0(44,44) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r57_r101,axiom,( k2_xcmplx_0(44,57) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r76_r120,axiom,( k2_xcmplx_0(44,76) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r8_r52,axiom,( k2_xcmplx_0(44,8) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r44_r9_r53,axiom,( k2_xcmplx_0(44,9) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r44_rm20_r24,axiom,( k2_xcmplx_0(44,k4_xcmplx_0(20)) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r44_rm27_r17,axiom,( k2_xcmplx_0(44,k4_xcmplx_0(27)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r44_rm28_r16,axiom,( k2_xcmplx_0(44,k4_xcmplx_0(28)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r44_rm32_r12,axiom,( k2_xcmplx_0(44,k4_xcmplx_0(32)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r44_rm40_r4,axiom,( k2_xcmplx_0(44,k4_xcmplx_0(40)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r44_rm56_rm12,axiom,( k2_xcmplx_0(44,k4_xcmplx_0(56)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r44_rm5_r39,axiom,( k2_xcmplx_0(44,k4_xcmplx_0(5)) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r453_r166_r619,axiom,( k2_xcmplx_0(453,166) = 619 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r121_r166,axiom,( k2_xcmplx_0(45,121) = 166 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r124_r169,axiom,( k2_xcmplx_0(45,124) = 169 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r12_r57,axiom,( k2_xcmplx_0(45,12) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r133_r178,axiom,( k2_xcmplx_0(45,133) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r135_r180,axiom,( k2_xcmplx_0(45,135) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r144_r189,axiom,( k2_xcmplx_0(45,144) = 189 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r147_r192,axiom,( k2_xcmplx_0(45,147) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r15_r60,axiom,( k2_xcmplx_0(45,15) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r163_r208,axiom,( k2_xcmplx_0(45,163) = 208 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r17_r62,axiom,( k2_xcmplx_0(45,17) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r1_r46,axiom,( k2_xcmplx_0(45,1) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r207_r252,axiom,( k2_xcmplx_0(45,207) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r21_r66,axiom,( k2_xcmplx_0(45,21) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r243_r288,axiom,( k2_xcmplx_0(45,243) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r297_r342,axiom,( k2_xcmplx_0(45,297) = 342 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r2_r47,axiom,( k2_xcmplx_0(45,2) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r309_r354,axiom,( k2_xcmplx_0(45,309) = 354 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r329_r374,axiom,( k2_xcmplx_0(45,329) = 374 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r32_r77,axiom,( k2_xcmplx_0(45,32) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r34_r79,axiom,( k2_xcmplx_0(45,34) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r357_r402,axiom,( k2_xcmplx_0(45,357) = 402 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r35_r80,axiom,( k2_xcmplx_0(45,35) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r37_r82,axiom,( k2_xcmplx_0(45,37) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r432_r477,axiom,( k2_xcmplx_0(45,432) = 477 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r547_r592,axiom,( k2_xcmplx_0(45,547) = 592 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r570_r615,axiom,( k2_xcmplx_0(45,570) = 615 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r60_r105,axiom,( k2_xcmplx_0(45,60) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r63_r108,axiom,( k2_xcmplx_0(45,63) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r675_r720,axiom,( k2_xcmplx_0(45,675) = 720 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r68_r113,axiom,( k2_xcmplx_0(45,68) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r6_r51,axiom,( k2_xcmplx_0(45,6) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r75_r120,axiom,( k2_xcmplx_0(45,75) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r80_r125,axiom,( k2_xcmplx_0(45,80) = 125 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r81_r126,axiom,( k2_xcmplx_0(45,81) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r87_r132,axiom,( k2_xcmplx_0(45,87) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r94_r139,axiom,( k2_xcmplx_0(45,94) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r45_r99_r144,axiom,( k2_xcmplx_0(45,99) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r46_r12_r58,axiom,( k2_xcmplx_0(46,12) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r46_r13_r59,axiom,( k2_xcmplx_0(46,13) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r46_r15_r61,axiom,( k2_xcmplx_0(46,15) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r46_r1_r47,axiom,( k2_xcmplx_0(46,1) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r46_r21_r67,axiom,( k2_xcmplx_0(46,21) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r46_r32_r78,axiom,( k2_xcmplx_0(46,32) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r46_r7_r53,axiom,( k2_xcmplx_0(46,7) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r46_rm424_rm378,axiom,( k2_xcmplx_0(46,k4_xcmplx_0(424)) = k4_xcmplx_0(378) )).
fof(rqRealAdd__k2_xcmplx_0__r47_r12_r59,axiom,( k2_xcmplx_0(47,12) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r47_r1_r48,axiom,( k2_xcmplx_0(47,1) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r47_r2_r49,axiom,( k2_xcmplx_0(47,2) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r47_r72_r119,axiom,( k2_xcmplx_0(47,72) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r487_r185_r672,axiom,( k2_xcmplx_0(487,185) = 672 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r104_r152,axiom,( k2_xcmplx_0(48,104) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r106_r154,axiom,( k2_xcmplx_0(48,106) = 154 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r108_r156,axiom,( k2_xcmplx_0(48,108) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r10_r58,axiom,( k2_xcmplx_0(48,10) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r112_r160,axiom,( k2_xcmplx_0(48,112) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r120_r168,axiom,( k2_xcmplx_0(48,120) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r126_r174,axiom,( k2_xcmplx_0(48,126) = 174 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r128_r176,axiom,( k2_xcmplx_0(48,128) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r12_r60,axiom,( k2_xcmplx_0(48,12) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r138_r186,axiom,( k2_xcmplx_0(48,138) = 186 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r142_r190,axiom,( k2_xcmplx_0(48,142) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r144_r192,axiom,( k2_xcmplx_0(48,144) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r14_r62,axiom,( k2_xcmplx_0(48,14) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r15_r63,axiom,( k2_xcmplx_0(48,15) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r162_r210,axiom,( k2_xcmplx_0(48,162) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r176_r224,axiom,( k2_xcmplx_0(48,176) = 224 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r178_r226,axiom,( k2_xcmplx_0(48,178) = 226 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r17_r65,axiom,( k2_xcmplx_0(48,17) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r183_r231,axiom,( k2_xcmplx_0(48,183) = 231 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r187_r235,axiom,( k2_xcmplx_0(48,187) = 235 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r18_r66,axiom,( k2_xcmplx_0(48,18) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r192_r240,axiom,( k2_xcmplx_0(48,192) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r19_r67,axiom,( k2_xcmplx_0(48,19) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r1_r49,axiom,( k2_xcmplx_0(48,1) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r204_r252,axiom,( k2_xcmplx_0(48,204) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r207_r255,axiom,( k2_xcmplx_0(48,207) = 255 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r209_r257,axiom,( k2_xcmplx_0(48,209) = 257 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r20_r68,axiom,( k2_xcmplx_0(48,20) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r210_r258,axiom,( k2_xcmplx_0(48,210) = 258 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r218_r266,axiom,( k2_xcmplx_0(48,218) = 266 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r21_r69,axiom,( k2_xcmplx_0(48,21) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r23_r71,axiom,( k2_xcmplx_0(48,23) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r24_r72,axiom,( k2_xcmplx_0(48,24) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r250_r298,axiom,( k2_xcmplx_0(48,250) = 298 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r252_r300,axiom,( k2_xcmplx_0(48,252) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r254_r302,axiom,( k2_xcmplx_0(48,254) = 302 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r264_r312,axiom,( k2_xcmplx_0(48,264) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r272_r320,axiom,( k2_xcmplx_0(48,272) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r284_r332,axiom,( k2_xcmplx_0(48,284) = 332 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r288_r336,axiom,( k2_xcmplx_0(48,288) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r289_r337,axiom,( k2_xcmplx_0(48,289) = 337 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r29_r77,axiom,( k2_xcmplx_0(48,29) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r2_r50,axiom,( k2_xcmplx_0(48,2) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r30_r78,axiom,( k2_xcmplx_0(48,30) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r320_r368,axiom,( k2_xcmplx_0(48,320) = 368 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r32_r80,axiom,( k2_xcmplx_0(48,32) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r33_r81,axiom,( k2_xcmplx_0(48,33) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r344_r392,axiom,( k2_xcmplx_0(48,344) = 392 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r34_r82,axiom,( k2_xcmplx_0(48,34) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r366_r414,axiom,( k2_xcmplx_0(48,366) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r36_r84,axiom,( k2_xcmplx_0(48,36) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r374_r422,axiom,( k2_xcmplx_0(48,374) = 422 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r37_r85,axiom,( k2_xcmplx_0(48,37) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r384_r432,axiom,( k2_xcmplx_0(48,384) = 432 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r392_r440,axiom,( k2_xcmplx_0(48,392) = 440 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r39_r87,axiom,( k2_xcmplx_0(48,39) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r3_r51,axiom,( k2_xcmplx_0(48,3) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r456_r504,axiom,( k2_xcmplx_0(48,456) = 504 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r46_r94,axiom,( k2_xcmplx_0(48,46) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r48_r96,axiom,( k2_xcmplx_0(48,48) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r4_r52,axiom,( k2_xcmplx_0(48,4) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r50_r98,axiom,( k2_xcmplx_0(48,50) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r52_r100,axiom,( k2_xcmplx_0(48,52) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r53_r101,axiom,( k2_xcmplx_0(48,53) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r55_r103,axiom,( k2_xcmplx_0(48,55) = 103 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r560_r608,axiom,( k2_xcmplx_0(48,560) = 608 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r568_r616,axiom,( k2_xcmplx_0(48,568) = 616 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r56_r104,axiom,( k2_xcmplx_0(48,56) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r5_r53,axiom,( k2_xcmplx_0(48,5) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r60_r108,axiom,( k2_xcmplx_0(48,60) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r616_r664,axiom,( k2_xcmplx_0(48,616) = 664 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r664_r712,axiom,( k2_xcmplx_0(48,664) = 712 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r68_r116,axiom,( k2_xcmplx_0(48,68) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r6_r54,axiom,( k2_xcmplx_0(48,6) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r708_r756,axiom,( k2_xcmplx_0(48,708) = 756 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r70_r118,axiom,( k2_xcmplx_0(48,70) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r72_r120,axiom,( k2_xcmplx_0(48,72) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r731_r779,axiom,( k2_xcmplx_0(48,731) = 779 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r74_r122,axiom,( k2_xcmplx_0(48,74) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r768_r816,axiom,( k2_xcmplx_0(48,768) = 816 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r772_r820,axiom,( k2_xcmplx_0(48,772) = 820 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r78_r126,axiom,( k2_xcmplx_0(48,78) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r798_r846,axiom,( k2_xcmplx_0(48,798) = 846 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r7_r55,axiom,( k2_xcmplx_0(48,7) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r80_r128,axiom,( k2_xcmplx_0(48,80) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r82_r130,axiom,( k2_xcmplx_0(48,82) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r84_r132,axiom,( k2_xcmplx_0(48,84) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r85_r133,axiom,( k2_xcmplx_0(48,85) = 133 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r88_r136,axiom,( k2_xcmplx_0(48,88) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r8_r56,axiom,( k2_xcmplx_0(48,8) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r91_r139,axiom,( k2_xcmplx_0(48,91) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r928_r976,axiom,( k2_xcmplx_0(48,928) = 976 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r936_r984,axiom,( k2_xcmplx_0(48,936) = 984 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r96_r144,axiom,( k2_xcmplx_0(48,96) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r48_r98_r146,axiom,( k2_xcmplx_0(48,98) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm105_rm57,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(105)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm126_rm78,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(126)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm12_r36,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(12)) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm14_r34,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(14)) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm18_r30,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(18)) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm20_r28,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(20)) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm23_r25,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(23)) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm24_r24,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(24)) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm28_r20,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(28)) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm30_r18,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(30)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm36_r12,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(36)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm42_r6,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(42)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm44_r4,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(44)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm52_rm4,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(52)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm54_rm6,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(54)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm56_rm8,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(56)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm6_r42,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(6)) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r48_rm95_rm47,axiom,( k2_xcmplx_0(48,k4_xcmplx_0(95)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__r49_r129_r178,axiom,( k2_xcmplx_0(49,129) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r162_r211,axiom,( k2_xcmplx_0(49,162) = 211 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r19_r68,axiom,( k2_xcmplx_0(49,19) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r1_r50,axiom,( k2_xcmplx_0(49,1) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r2_r51,axiom,( k2_xcmplx_0(49,2) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r47_r96,axiom,( k2_xcmplx_0(49,47) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r4_r53,axiom,( k2_xcmplx_0(49,4) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r51_r100,axiom,( k2_xcmplx_0(49,51) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r68_r117,axiom,( k2_xcmplx_0(49,68) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r49_r78_r127,axiom,( k2_xcmplx_0(49,78) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4,axiom,( k2_xcmplx_0(4,0) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r100_r104,axiom,( k2_xcmplx_0(4,100) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r102_r106,axiom,( k2_xcmplx_0(4,102) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r103_r107,axiom,( k2_xcmplx_0(4,103) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r104_r108,axiom,( k2_xcmplx_0(4,104) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r106_r110,axiom,( k2_xcmplx_0(4,106) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r10_r14,axiom,( k2_xcmplx_0(4,10) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r112_r116,axiom,( k2_xcmplx_0(4,112) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r113_r117,axiom,( k2_xcmplx_0(4,113) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r116_r120,axiom,( k2_xcmplx_0(4,116) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r11_r15,axiom,( k2_xcmplx_0(4,11) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r120_r124,axiom,( k2_xcmplx_0(4,120) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r124_r128,axiom,( k2_xcmplx_0(4,124) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r126_r130,axiom,( k2_xcmplx_0(4,126) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r12_r16,axiom,( k2_xcmplx_0(4,12) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r130_r134,axiom,( k2_xcmplx_0(4,130) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r132_r136,axiom,( k2_xcmplx_0(4,132) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r134_r138,axiom,( k2_xcmplx_0(4,134) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r135_r139,axiom,( k2_xcmplx_0(4,135) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r136_r140,axiom,( k2_xcmplx_0(4,136) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r137_r141,axiom,( k2_xcmplx_0(4,137) = 141 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r13_r17,axiom,( k2_xcmplx_0(4,13) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r140_r144,axiom,( k2_xcmplx_0(4,140) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r141_r145,axiom,( k2_xcmplx_0(4,141) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r14_r18,axiom,( k2_xcmplx_0(4,14) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r151_r155,axiom,( k2_xcmplx_0(4,151) = 155 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r153_r157,axiom,( k2_xcmplx_0(4,153) = 157 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r156_r160,axiom,( k2_xcmplx_0(4,156) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r15_r19,axiom,( k2_xcmplx_0(4,15) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r160_r164,axiom,( k2_xcmplx_0(4,160) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r162_r166,axiom,( k2_xcmplx_0(4,162) = 166 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r167_r171,axiom,( k2_xcmplx_0(4,167) = 171 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r16_r20,axiom,( k2_xcmplx_0(4,16) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r170_r174,axiom,( k2_xcmplx_0(4,170) = 174 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r171_r175,axiom,( k2_xcmplx_0(4,171) = 175 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r172_r176,axiom,( k2_xcmplx_0(4,172) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r17_r21,axiom,( k2_xcmplx_0(4,17) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r181_r185,axiom,( k2_xcmplx_0(4,181) = 185 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r186_r190,axiom,( k2_xcmplx_0(4,186) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r188_r192,axiom,( k2_xcmplx_0(4,188) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r189_r193,axiom,( k2_xcmplx_0(4,189) = 193 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r18_r22,axiom,( k2_xcmplx_0(4,18) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r192_r196,axiom,( k2_xcmplx_0(4,192) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r193_r197,axiom,( k2_xcmplx_0(4,193) = 197 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r194_r198,axiom,( k2_xcmplx_0(4,194) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r196_r200,axiom,( k2_xcmplx_0(4,196) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r19_r23,axiom,( k2_xcmplx_0(4,19) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5,axiom,( k2_xcmplx_0(4,1) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r205_r209,axiom,( k2_xcmplx_0(4,205) = 209 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r206_r210,axiom,( k2_xcmplx_0(4,206) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r208_r212,axiom,( k2_xcmplx_0(4,208) = 212 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r20_r24,axiom,( k2_xcmplx_0(4,20) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r210_r214,axiom,( k2_xcmplx_0(4,210) = 214 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r212_r216,axiom,( k2_xcmplx_0(4,212) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r218_r222,axiom,( k2_xcmplx_0(4,218) = 222 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r21_r25,axiom,( k2_xcmplx_0(4,21) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r228_r232,axiom,( k2_xcmplx_0(4,228) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r22_r26,axiom,( k2_xcmplx_0(4,22) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r232_r236,axiom,( k2_xcmplx_0(4,232) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r236_r240,axiom,( k2_xcmplx_0(4,236) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r23_r27,axiom,( k2_xcmplx_0(4,23) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r24_r28,axiom,( k2_xcmplx_0(4,24) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r256_r260,axiom,( k2_xcmplx_0(4,256) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r258_r262,axiom,( k2_xcmplx_0(4,258) = 262 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r259_r263,axiom,( k2_xcmplx_0(4,259) = 263 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r25_r29,axiom,( k2_xcmplx_0(4,25) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r260_r264,axiom,( k2_xcmplx_0(4,260) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r268_r272,axiom,( k2_xcmplx_0(4,268) = 272 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r26_r30,axiom,( k2_xcmplx_0(4,26) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r27_r31,axiom,( k2_xcmplx_0(4,27) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r282_r286,axiom,( k2_xcmplx_0(4,282) = 286 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r28_r32,axiom,( k2_xcmplx_0(4,28) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r29_r33,axiom,( k2_xcmplx_0(4,29) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r2_r6,axiom,( k2_xcmplx_0(4,2) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r302_r306,axiom,( k2_xcmplx_0(4,302) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r30_r34,axiom,( k2_xcmplx_0(4,30) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r314_r318,axiom,( k2_xcmplx_0(4,314) = 318 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r31_r35,axiom,( k2_xcmplx_0(4,31) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r329_r333,axiom,( k2_xcmplx_0(4,329) = 333 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r32_r36,axiom,( k2_xcmplx_0(4,32) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r332_r336,axiom,( k2_xcmplx_0(4,332) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r334_r338,axiom,( k2_xcmplx_0(4,334) = 338 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r33_r37,axiom,( k2_xcmplx_0(4,33) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r346_r350,axiom,( k2_xcmplx_0(4,346) = 350 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r34_r38,axiom,( k2_xcmplx_0(4,34) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r352_r356,axiom,( k2_xcmplx_0(4,352) = 356 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r35_r39,axiom,( k2_xcmplx_0(4,35) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r362_r366,axiom,( k2_xcmplx_0(4,362) = 366 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r366_r370,axiom,( k2_xcmplx_0(4,366) = 370 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r36_r40,axiom,( k2_xcmplx_0(4,36) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r378_r382,axiom,( k2_xcmplx_0(4,378) = 382 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r38_r42,axiom,( k2_xcmplx_0(4,38) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r396_r400,axiom,( k2_xcmplx_0(4,396) = 400 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r39_r43,axiom,( k2_xcmplx_0(4,39) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r3_r7,axiom,( k2_xcmplx_0(4,3) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r404_r408,axiom,( k2_xcmplx_0(4,404) = 408 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r40_r44,axiom,( k2_xcmplx_0(4,40) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r422_r426,axiom,( k2_xcmplx_0(4,422) = 426 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r42_r46,axiom,( k2_xcmplx_0(4,42) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r432_r436,axiom,( k2_xcmplx_0(4,432) = 436 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r43_r47,axiom,( k2_xcmplx_0(4,43) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r44_r48,axiom,( k2_xcmplx_0(4,44) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r45_r49,axiom,( k2_xcmplx_0(4,45) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r46_r50,axiom,( k2_xcmplx_0(4,46) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r47_r51,axiom,( k2_xcmplx_0(4,47) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r48_r52,axiom,( k2_xcmplx_0(4,48) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r49_r53,axiom,( k2_xcmplx_0(4,49) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8,axiom,( k2_xcmplx_0(4,4) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r50_r54,axiom,( k2_xcmplx_0(4,50) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r510_r514,axiom,( k2_xcmplx_0(4,510) = 514 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r515_r519,axiom,( k2_xcmplx_0(4,515) = 519 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r51_r55,axiom,( k2_xcmplx_0(4,51) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r52_r56,axiom,( k2_xcmplx_0(4,52) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r53_r57,axiom,( k2_xcmplx_0(4,53) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r54_r58,axiom,( k2_xcmplx_0(4,54) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r55_r59,axiom,( k2_xcmplx_0(4,55) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r56_r60,axiom,( k2_xcmplx_0(4,56) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r57_r61,axiom,( k2_xcmplx_0(4,57) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r58_r62,axiom,( k2_xcmplx_0(4,58) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r59_r63,axiom,( k2_xcmplx_0(4,59) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r5_r9,axiom,( k2_xcmplx_0(4,5) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r60_r64,axiom,( k2_xcmplx_0(4,60) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r61_r65,axiom,( k2_xcmplx_0(4,61) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r620_r624,axiom,( k2_xcmplx_0(4,620) = 624 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r624_r628,axiom,( k2_xcmplx_0(4,624) = 628 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r627_r631,axiom,( k2_xcmplx_0(4,627) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r62_r66,axiom,( k2_xcmplx_0(4,62) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r63_r67,axiom,( k2_xcmplx_0(4,63) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r65_r69,axiom,( k2_xcmplx_0(4,65) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r668_r672,axiom,( k2_xcmplx_0(4,668) = 672 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r66_r70,axiom,( k2_xcmplx_0(4,66) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r680_r684,axiom,( k2_xcmplx_0(4,680) = 684 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r68_r72,axiom,( k2_xcmplx_0(4,68) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r696_r700,axiom,( k2_xcmplx_0(4,696) = 700 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r69_r73,axiom,( k2_xcmplx_0(4,69) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r6_r10,axiom,( k2_xcmplx_0(4,6) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r70_r74,axiom,( k2_xcmplx_0(4,70) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r714_r718,axiom,( k2_xcmplx_0(4,714) = 718 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r71_r75,axiom,( k2_xcmplx_0(4,71) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r72_r76,axiom,( k2_xcmplx_0(4,72) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r750_r754,axiom,( k2_xcmplx_0(4,750) = 754 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r75_r79,axiom,( k2_xcmplx_0(4,75) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r76_r80,axiom,( k2_xcmplx_0(4,76) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r786_r790,axiom,( k2_xcmplx_0(4,786) = 790 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r78_r82,axiom,( k2_xcmplx_0(4,78) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r790_r794,axiom,( k2_xcmplx_0(4,790) = 794 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r796_r800,axiom,( k2_xcmplx_0(4,796) = 800 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r7_r11,axiom,( k2_xcmplx_0(4,7) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r802_r806,axiom,( k2_xcmplx_0(4,802) = 806 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r80_r84,axiom,( k2_xcmplx_0(4,80) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r81_r85,axiom,( k2_xcmplx_0(4,81) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r83_r87,axiom,( k2_xcmplx_0(4,83) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r84_r88,axiom,( k2_xcmplx_0(4,84) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r85_r89,axiom,( k2_xcmplx_0(4,85) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r86_r90,axiom,( k2_xcmplx_0(4,86) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r88_r92,axiom,( k2_xcmplx_0(4,88) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r89_r93,axiom,( k2_xcmplx_0(4,89) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r8_r12,axiom,( k2_xcmplx_0(4,8) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r90_r94,axiom,( k2_xcmplx_0(4,90) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r91_r95,axiom,( k2_xcmplx_0(4,91) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r92_r96,axiom,( k2_xcmplx_0(4,92) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r94_r98,axiom,( k2_xcmplx_0(4,94) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r95_r99,axiom,( k2_xcmplx_0(4,95) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r96_r100,axiom,( k2_xcmplx_0(4,96) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r98_r102,axiom,( k2_xcmplx_0(4,98) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r4_r9_r13,axiom,( k2_xcmplx_0(4,9) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm100_rm96,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(100)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm10_rm6,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(10)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm110_rm106,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(110)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm111_rm107,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(111)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm11_rm7,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(11)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm12_rm8,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(12)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm133_rm129,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(133)) = k4_xcmplx_0(129) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm13_rm9,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(13)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm146_rm142,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(146)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm148_rm144,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(148)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm14_rm10,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(14)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm15_rm11,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(15)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm162_rm158,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(162)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm16_rm12,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(16)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm17_rm13,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(17)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm18_rm14,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(18)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm195_rm191,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(195)) = k4_xcmplx_0(191) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm1_r3,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(1)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm20_rm16,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(20)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm21_rm17,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(21)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm22_rm18,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(22)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm24_rm20,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(24)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm252_rm248,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(252)) = k4_xcmplx_0(248) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm25_rm21,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(25)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm26_rm22,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(26)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm27_rm23,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(27)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm28_rm24,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(28)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm29_rm25,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(29)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(2)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm30_rm26,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(30)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm31_rm27,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(31)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm32_rm28,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(32)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm33_rm29,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(33)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm34_rm30,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(34)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm36_rm32,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(36)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm38_rm34,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(38)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm3_r1,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(3)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm40_rm36,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(40)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm42_rm38,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(42)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm49_rm45,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(49)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(4)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm52_rm48,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(52)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm55_rm51,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(55)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm56_rm52,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(56)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm5_rm1,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(5)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm60_rm56,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(60)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm6_rm2,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(6)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm78_rm74,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(78)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm7_rm3,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(7)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm8_rm4,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(8)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm90_rm86,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(90)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm96_rm92,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(96)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rm9_rm5,axiom,( k2_xcmplx_0(4,k4_xcmplx_0(9)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn14d3_rn26d3,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(14,3)) = k7_xcmplx_0(26,3) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn1d2_rn9d2,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(1,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn25d3_rn37d3,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(25,3)) = k7_xcmplx_0(37,3) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn27d10_rn67d10,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(27,10)) = k7_xcmplx_0(67,10) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn58d5_rn78d5,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(58,5)) = k7_xcmplx_0(78,5) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn5d4_rn21d4,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(5,4)) = k7_xcmplx_0(21,4) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn7d2_rn15d2,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(7,2)) = k7_xcmplx_0(15,2) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn87d5_rn107d5,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(87,5)) = k7_xcmplx_0(107,5) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn98d5_rn118d5,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(98,5)) = k7_xcmplx_0(118,5) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rn9d5_rn29d5,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(9,5)) = k7_xcmplx_0(29,5) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rnm10d3_rn2d3,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(10),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rnm1d3_rn11d3,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(11,3) )).
fof(rqRealAdd__k2_xcmplx_0__r4_rnm1d9_rn35d9,axiom,( k2_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(35,9) )).
fof(rqRealAdd__k2_xcmplx_0__r50_r1_r51,axiom,( k2_xcmplx_0(50,1) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r50_r3_r53,axiom,( k2_xcmplx_0(50,3) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r50_r7_r57,axiom,( k2_xcmplx_0(50,7) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r50_rn24d5_rn274d5,axiom,( k2_xcmplx_0(50,k7_xcmplx_0(24,5)) = k7_xcmplx_0(274,5) )).
fof(rqRealAdd__k2_xcmplx_0__r512_r288_r800,axiom,( k2_xcmplx_0(512,288) = 800 )).
fof(rqRealAdd__k2_xcmplx_0__r512_r416_r928,axiom,( k2_xcmplx_0(512,416) = 928 )).
fof(rqRealAdd__k2_xcmplx_0__r51_r10_r61,axiom,( k2_xcmplx_0(51,10) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r51_r16_r67,axiom,( k2_xcmplx_0(51,16) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r51_r1_r52,axiom,( k2_xcmplx_0(51,1) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r51_r2_r53,axiom,( k2_xcmplx_0(51,2) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r51_r8_r59,axiom,( k2_xcmplx_0(51,8) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r142_r194,axiom,( k2_xcmplx_0(52,142) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r14_r66,axiom,( k2_xcmplx_0(52,14) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r1_r53,axiom,( k2_xcmplx_0(52,1) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r46_r98,axiom,( k2_xcmplx_0(52,46) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r48_r100,axiom,( k2_xcmplx_0(52,48) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r6_r58,axiom,( k2_xcmplx_0(52,6) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r7_r59,axiom,( k2_xcmplx_0(52,7) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r86_r138,axiom,( k2_xcmplx_0(52,86) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r52_r9_r61,axiom,( k2_xcmplx_0(52,9) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r53_r1_r54,axiom,( k2_xcmplx_0(53,1) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r53_r4_r57,axiom,( k2_xcmplx_0(53,4) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r101_r155,axiom,( k2_xcmplx_0(54,101) = 155 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r102_r156,axiom,( k2_xcmplx_0(54,102) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r105_r159,axiom,( k2_xcmplx_0(54,105) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r108_r162,axiom,( k2_xcmplx_0(54,108) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r10_r64,axiom,( k2_xcmplx_0(54,10) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r111_r165,axiom,( k2_xcmplx_0(54,111) = 165 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r118_r172,axiom,( k2_xcmplx_0(54,118) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r126_r180,axiom,( k2_xcmplx_0(54,126) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r132_r186,axiom,( k2_xcmplx_0(54,132) = 186 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r134_r188,axiom,( k2_xcmplx_0(54,134) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r140_r194,axiom,( k2_xcmplx_0(54,140) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r142_r196,axiom,( k2_xcmplx_0(54,142) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r144_r198,axiom,( k2_xcmplx_0(54,144) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r145_r199,axiom,( k2_xcmplx_0(54,145) = 199 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r150_r204,axiom,( k2_xcmplx_0(54,150) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r180_r234,axiom,( k2_xcmplx_0(54,180) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r184_r238,axiom,( k2_xcmplx_0(54,184) = 238 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r185_r239,axiom,( k2_xcmplx_0(54,185) = 239 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r186_r240,axiom,( k2_xcmplx_0(54,186) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r18_r72,axiom,( k2_xcmplx_0(54,18) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r192_r246,axiom,( k2_xcmplx_0(54,192) = 246 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r195_r249,axiom,( k2_xcmplx_0(54,195) = 249 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r1_r55,axiom,( k2_xcmplx_0(54,1) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r200_r254,axiom,( k2_xcmplx_0(54,200) = 254 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r205_r259,axiom,( k2_xcmplx_0(54,205) = 259 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r209_r263,axiom,( k2_xcmplx_0(54,209) = 263 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r214_r268,axiom,( k2_xcmplx_0(54,214) = 268 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r225_r279,axiom,( k2_xcmplx_0(54,225) = 279 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r232_r286,axiom,( k2_xcmplx_0(54,232) = 286 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r235_r289,axiom,( k2_xcmplx_0(54,235) = 289 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r240_r294,axiom,( k2_xcmplx_0(54,240) = 294 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r243_r297,axiom,( k2_xcmplx_0(54,243) = 297 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r24_r78,axiom,( k2_xcmplx_0(54,24) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r250_r304,axiom,( k2_xcmplx_0(54,250) = 304 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r252_r306,axiom,( k2_xcmplx_0(54,252) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r263_r317,axiom,( k2_xcmplx_0(54,263) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r266_r320,axiom,( k2_xcmplx_0(54,266) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r274_r328,axiom,( k2_xcmplx_0(54,274) = 328 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r276_r330,axiom,( k2_xcmplx_0(54,276) = 330 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r27_r81,axiom,( k2_xcmplx_0(54,27) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r288_r342,axiom,( k2_xcmplx_0(54,288) = 342 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r28_r82,axiom,( k2_xcmplx_0(54,28) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r290_r344,axiom,( k2_xcmplx_0(54,290) = 344 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r292_r346,axiom,( k2_xcmplx_0(54,292) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r294_r348,axiom,( k2_xcmplx_0(54,294) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r2_r56,axiom,( k2_xcmplx_0(54,2) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r306_r360,axiom,( k2_xcmplx_0(54,306) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r32_r86,axiom,( k2_xcmplx_0(54,32) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r334_r388,axiom,( k2_xcmplx_0(54,334) = 388 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r33_r87,axiom,( k2_xcmplx_0(54,33) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r360_r414,axiom,( k2_xcmplx_0(54,360) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r366_r420,axiom,( k2_xcmplx_0(54,366) = 420 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r369_r423,axiom,( k2_xcmplx_0(54,369) = 423 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r409_r463,axiom,( k2_xcmplx_0(54,409) = 463 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r40_r94,axiom,( k2_xcmplx_0(54,40) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r411_r465,axiom,( k2_xcmplx_0(54,411) = 465 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r437_r491,axiom,( k2_xcmplx_0(54,437) = 491 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r439_r493,axiom,( k2_xcmplx_0(54,439) = 493 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r454_r508,axiom,( k2_xcmplx_0(54,454) = 508 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r462_r516,axiom,( k2_xcmplx_0(54,462) = 516 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r486_r540,axiom,( k2_xcmplx_0(54,486) = 540 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r497_r551,axiom,( k2_xcmplx_0(54,497) = 551 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r504_r558,axiom,( k2_xcmplx_0(54,504) = 558 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r516_r570,axiom,( k2_xcmplx_0(54,516) = 570 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r52_r106,axiom,( k2_xcmplx_0(54,52) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r552_r606,axiom,( k2_xcmplx_0(54,552) = 606 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r564_r618,axiom,( k2_xcmplx_0(54,564) = 618 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r573_r627,axiom,( k2_xcmplx_0(54,573) = 627 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r582_r636,axiom,( k2_xcmplx_0(54,582) = 636 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r58_r112,axiom,( k2_xcmplx_0(54,58) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r598_r652,axiom,( k2_xcmplx_0(54,598) = 652 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r60_r114,axiom,( k2_xcmplx_0(54,60) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r640_r694,axiom,( k2_xcmplx_0(54,640) = 694 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r66_r120,axiom,( k2_xcmplx_0(54,66) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r6_r60,axiom,( k2_xcmplx_0(54,6) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r70_r124,axiom,( k2_xcmplx_0(54,70) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r720_r774,axiom,( k2_xcmplx_0(54,720) = 774 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r72_r126,axiom,( k2_xcmplx_0(54,72) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r777_r831,axiom,( k2_xcmplx_0(54,777) = 831 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r78_r132,axiom,( k2_xcmplx_0(54,78) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r80_r134,axiom,( k2_xcmplx_0(54,80) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r81_r135,axiom,( k2_xcmplx_0(54,81) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r82_r136,axiom,( k2_xcmplx_0(54,82) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r84_r138,axiom,( k2_xcmplx_0(54,84) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r86_r140,axiom,( k2_xcmplx_0(54,86) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r88_r142,axiom,( k2_xcmplx_0(54,88) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r91_r145,axiom,( k2_xcmplx_0(54,91) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r96_r150,axiom,( k2_xcmplx_0(54,96) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r97_r151,axiom,( k2_xcmplx_0(54,97) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r54_r99_r153,axiom,( k2_xcmplx_0(54,99) = 153 )).
fof(rqRealAdd__k2_xcmplx_0__r54_rm16_r38,axiom,( k2_xcmplx_0(54,k4_xcmplx_0(16)) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r55_r1_r56,axiom,( k2_xcmplx_0(55,1) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r55_r33_r88,axiom,( k2_xcmplx_0(55,33) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r55_r4_r59,axiom,( k2_xcmplx_0(55,4) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r55_r6_r61,axiom,( k2_xcmplx_0(55,6) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r55_r82_r137,axiom,( k2_xcmplx_0(55,82) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r560_rm501_r59,axiom,( k2_xcmplx_0(560,k4_xcmplx_0(501)) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r104_r160,axiom,( k2_xcmplx_0(56,104) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r12_r68,axiom,( k2_xcmplx_0(56,12) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r138_r194,axiom,( k2_xcmplx_0(56,138) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r140_r196,axiom,( k2_xcmplx_0(56,140) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r1_r57,axiom,( k2_xcmplx_0(56,1) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r202_r258,axiom,( k2_xcmplx_0(56,202) = 258 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r22_r78,axiom,( k2_xcmplx_0(56,22) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r24_r80,axiom,( k2_xcmplx_0(56,24) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r354_r410,axiom,( k2_xcmplx_0(56,354) = 410 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r35_r91,axiom,( k2_xcmplx_0(56,35) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r362_r418,axiom,( k2_xcmplx_0(56,362) = 418 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r37_r93,axiom,( k2_xcmplx_0(56,37) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r39_r95,axiom,( k2_xcmplx_0(56,39) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r3_r59,axiom,( k2_xcmplx_0(56,3) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r458_r514,axiom,( k2_xcmplx_0(56,458) = 514 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r45_r101,axiom,( k2_xcmplx_0(56,45) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r49_r105,axiom,( k2_xcmplx_0(56,49) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r4_r60,axiom,( k2_xcmplx_0(56,4) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r56_r112,axiom,( k2_xcmplx_0(56,56) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r592_r648,axiom,( k2_xcmplx_0(56,592) = 648 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r5_r61,axiom,( k2_xcmplx_0(56,5) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r60_r116,axiom,( k2_xcmplx_0(56,60) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r8_r64,axiom,( k2_xcmplx_0(56,8) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r90_r146,axiom,( k2_xcmplx_0(56,90) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r95_r151,axiom,( k2_xcmplx_0(56,95) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r56_r98_r154,axiom,( k2_xcmplx_0(56,98) = 154 )).
fof(rqRealAdd__k2_xcmplx_0__r56_rm118_rm62,axiom,( k2_xcmplx_0(56,k4_xcmplx_0(118)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__r56_rm28_r28,axiom,( k2_xcmplx_0(56,k4_xcmplx_0(28)) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r56_rm30_r26,axiom,( k2_xcmplx_0(56,k4_xcmplx_0(30)) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r56_rm40_r16,axiom,( k2_xcmplx_0(56,k4_xcmplx_0(40)) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r102_r159,axiom,( k2_xcmplx_0(57,102) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r106_r163,axiom,( k2_xcmplx_0(57,106) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r10_r67,axiom,( k2_xcmplx_0(57,10) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r14_r71,axiom,( k2_xcmplx_0(57,14) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r16_r73,axiom,( k2_xcmplx_0(57,16) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r1_r58,axiom,( k2_xcmplx_0(57,1) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r2_r59,axiom,( k2_xcmplx_0(57,2) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r48_r105,axiom,( k2_xcmplx_0(57,48) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r4_r61,axiom,( k2_xcmplx_0(57,4) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r57_r114,axiom,( k2_xcmplx_0(57,57) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r57_r62_r119,axiom,( k2_xcmplx_0(57,62) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r57_rm6_r51,axiom,( k2_xcmplx_0(57,k4_xcmplx_0(6)) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r57_rm8_r49,axiom,( k2_xcmplx_0(57,k4_xcmplx_0(8)) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r58_r1_r59,axiom,( k2_xcmplx_0(58,1) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r58_r48_r106,axiom,( k2_xcmplx_0(58,48) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r59_r102_r161,axiom,( k2_xcmplx_0(59,102) = 161 )).
fof(rqRealAdd__k2_xcmplx_0__r59_r106_r165,axiom,( k2_xcmplx_0(59,106) = 165 )).
fof(rqRealAdd__k2_xcmplx_0__r59_r1_r60,axiom,( k2_xcmplx_0(59,1) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r59_r26_r85,axiom,( k2_xcmplx_0(59,26) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r59_r57_r116,axiom,( k2_xcmplx_0(59,57) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r59_rm8_r51,axiom,( k2_xcmplx_0(59,k4_xcmplx_0(8)) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5,axiom,( k2_xcmplx_0(5,0) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r107_r112,axiom,( k2_xcmplx_0(5,107) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r10_r15,axiom,( k2_xcmplx_0(5,10) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r111_r116,axiom,( k2_xcmplx_0(5,111) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r11_r16,axiom,( k2_xcmplx_0(5,11) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r120_r125,axiom,( k2_xcmplx_0(5,120) = 125 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r12_r17,axiom,( k2_xcmplx_0(5,12) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r130_r135,axiom,( k2_xcmplx_0(5,130) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r135_r140,axiom,( k2_xcmplx_0(5,135) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r13_r18,axiom,( k2_xcmplx_0(5,13) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r14_r19,axiom,( k2_xcmplx_0(5,14) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r15_r20,axiom,( k2_xcmplx_0(5,15) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r160_r165,axiom,( k2_xcmplx_0(5,160) = 165 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r16_r21,axiom,( k2_xcmplx_0(5,16) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r17_r22,axiom,( k2_xcmplx_0(5,17) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r18_r23,axiom,( k2_xcmplx_0(5,18) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r195_r200,axiom,( k2_xcmplx_0(5,195) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6,axiom,( k2_xcmplx_0(5,1) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r20_r25,axiom,( k2_xcmplx_0(5,20) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r21_r26,axiom,( k2_xcmplx_0(5,21) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r22_r27,axiom,( k2_xcmplx_0(5,22) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r24_r29,axiom,( k2_xcmplx_0(5,24) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r26_r31,axiom,( k2_xcmplx_0(5,26) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r280_r285,axiom,( k2_xcmplx_0(5,280) = 285 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r296_r301,axiom,( k2_xcmplx_0(5,296) = 301 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7,axiom,( k2_xcmplx_0(5,2) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r312_r317,axiom,( k2_xcmplx_0(5,312) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r31_r36,axiom,( k2_xcmplx_0(5,31) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r32_r37,axiom,( k2_xcmplx_0(5,32) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r35_r40,axiom,( k2_xcmplx_0(5,35) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r36_r41,axiom,( k2_xcmplx_0(5,36) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r373_r378,axiom,( k2_xcmplx_0(5,373) = 378 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r38_r43,axiom,( k2_xcmplx_0(5,38) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r3_r8,axiom,( k2_xcmplx_0(5,3) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r40_r45,axiom,( k2_xcmplx_0(5,40) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r42_r47,axiom,( k2_xcmplx_0(5,42) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r43_r48,axiom,( k2_xcmplx_0(5,43) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r48_r53,axiom,( k2_xcmplx_0(5,48) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r4_r9,axiom,( k2_xcmplx_0(5,4) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r505_r510,axiom,( k2_xcmplx_0(5,505) = 510 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r520_r525,axiom,( k2_xcmplx_0(5,520) = 525 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r56_r61,axiom,( k2_xcmplx_0(5,56) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r59_r64,axiom,( k2_xcmplx_0(5,59) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r5_r10,axiom,( k2_xcmplx_0(5,5) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r66_r71,axiom,( k2_xcmplx_0(5,66) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r68_r73,axiom,( k2_xcmplx_0(5,68) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r6_r11,axiom,( k2_xcmplx_0(5,6) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r71_r76,axiom,( k2_xcmplx_0(5,71) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r78_r83,axiom,( k2_xcmplx_0(5,78) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r7_r12,axiom,( k2_xcmplx_0(5,7) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r831_r836,axiom,( k2_xcmplx_0(5,831) = 836 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r84_r89,axiom,( k2_xcmplx_0(5,84) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r87_r92,axiom,( k2_xcmplx_0(5,87) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r8_r13,axiom,( k2_xcmplx_0(5,8) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r92_r97,axiom,( k2_xcmplx_0(5,92) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r5_r9_r14,axiom,( k2_xcmplx_0(5,9) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm10_rm5,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(10)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm11_rm6,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(11)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm12_rm7,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(12)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm13_rm8,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(13)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm14_rm9,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(14)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm15_rm10,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(15)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm16_rm11,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(16)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm18_rm13,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(18)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm1_r4,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(1)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm20_rm15,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(20)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm22_rm17,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(22)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm27_rm22,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(27)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm2_r3,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(2)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm3_r2,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(3)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm4_r1,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(4)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm5_r0,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(5)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm6_rm1,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(6)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm7_rm2,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(7)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm8_rm3,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(8)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rm9_rm4,axiom,( k2_xcmplx_0(5,k4_xcmplx_0(9)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rn11d6_rn41d6,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(11,6)) = k7_xcmplx_0(41,6) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rn1d42_rn211d42,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(1,42)) = k7_xcmplx_0(211,42) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rn1d7_rn36d7,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(1,7)) = k7_xcmplx_0(36,7) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rn22d3_rn37d3,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(22,3)) = k7_xcmplx_0(37,3) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rn43d42_rn253d42,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(43,42)) = k7_xcmplx_0(253,42) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rn5d4_rn25d4,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(5,4)) = k7_xcmplx_0(25,4) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rn9d4_rn29d4,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(9,4)) = k7_xcmplx_0(29,4) )).
fof(rqRealAdd__k2_xcmplx_0__r5_rnm10d3_rn5d3,axiom,( k2_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(10),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealAdd__k2_xcmplx_0__r60_r117_r177,axiom,( k2_xcmplx_0(60,117) = 177 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r157_r217,axiom,( k2_xcmplx_0(60,157) = 217 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r15_r75,axiom,( k2_xcmplx_0(60,15) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r185_r245,axiom,( k2_xcmplx_0(60,185) = 245 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r1_r61,axiom,( k2_xcmplx_0(60,1) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r20_r80,axiom,( k2_xcmplx_0(60,20) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r214_r274,axiom,( k2_xcmplx_0(60,214) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r21_r81,axiom,( k2_xcmplx_0(60,21) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r234_r294,axiom,( k2_xcmplx_0(60,234) = 294 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r238_r298,axiom,( k2_xcmplx_0(60,238) = 298 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r241_r301,axiom,( k2_xcmplx_0(60,241) = 301 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r291_r351,axiom,( k2_xcmplx_0(60,291) = 351 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r2_r62,axiom,( k2_xcmplx_0(60,2) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r304_r364,axiom,( k2_xcmplx_0(60,304) = 364 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r40_r100,axiom,( k2_xcmplx_0(60,40) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r42_r102,axiom,( k2_xcmplx_0(60,42) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r47_r107,axiom,( k2_xcmplx_0(60,47) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r493_r553,axiom,( k2_xcmplx_0(60,493) = 553 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r65_r125,axiom,( k2_xcmplx_0(60,65) = 125 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r90_r150,axiom,( k2_xcmplx_0(60,90) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r91_r151,axiom,( k2_xcmplx_0(60,91) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r60_r95_r155,axiom,( k2_xcmplx_0(60,95) = 155 )).
fof(rqRealAdd__k2_xcmplx_0__r60_rm1_r59,axiom,( k2_xcmplx_0(60,k4_xcmplx_0(1)) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r60_rm46_r14,axiom,( k2_xcmplx_0(60,k4_xcmplx_0(46)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r60_rm54_r6,axiom,( k2_xcmplx_0(60,k4_xcmplx_0(54)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r60_rm56_r4,axiom,( k2_xcmplx_0(60,k4_xcmplx_0(56)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r61_r1_r62,axiom,( k2_xcmplx_0(61,1) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r61_r24_r85,axiom,( k2_xcmplx_0(61,24) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r621_r10_r631,axiom,( k2_xcmplx_0(621,10) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r624_r7_r631,axiom,( k2_xcmplx_0(624,7) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r625_r16_r641,axiom,( k2_xcmplx_0(625,16) = 641 )).
fof(rqRealAdd__k2_xcmplx_0__r627_r4_r631,axiom,( k2_xcmplx_0(627,4) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r629_r2_r631,axiom,( k2_xcmplx_0(629,2) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r62_r1_r63,axiom,( k2_xcmplx_0(62,1) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r630_r1_r631,axiom,( k2_xcmplx_0(630,1) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r110_r173,axiom,( k2_xcmplx_0(63,110) = 173 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r118_r181,axiom,( k2_xcmplx_0(63,118) = 181 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r1_r64,axiom,( k2_xcmplx_0(63,1) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r306_r369,axiom,( k2_xcmplx_0(63,306) = 369 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r315_r378,axiom,( k2_xcmplx_0(63,315) = 378 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r321_r384,axiom,( k2_xcmplx_0(63,321) = 384 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r351_r414,axiom,( k2_xcmplx_0(63,351) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r39_r102,axiom,( k2_xcmplx_0(63,39) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r4_r67,axiom,( k2_xcmplx_0(63,4) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r63_r126,axiom,( k2_xcmplx_0(63,63) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r668_r731,axiom,( k2_xcmplx_0(63,668) = 731 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r77_r140,axiom,( k2_xcmplx_0(63,77) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r82_r145,axiom,( k2_xcmplx_0(63,82) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r63_r94_r157,axiom,( k2_xcmplx_0(63,94) = 157 )).
fof(rqRealAdd__k2_xcmplx_0__r640_r1_r641,axiom,( k2_xcmplx_0(640,1) = 641 )).
fof(rqRealAdd__k2_xcmplx_0__r641_rm16_r625,axiom,( k2_xcmplx_0(641,k4_xcmplx_0(16)) = 625 )).
fof(rqRealAdd__k2_xcmplx_0__r641_rm1_r640,axiom,( k2_xcmplx_0(641,k4_xcmplx_0(1)) = 640 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r104_r168,axiom,( k2_xcmplx_0(64,104) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r108_r172,axiom,( k2_xcmplx_0(64,108) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r114_r178,axiom,( k2_xcmplx_0(64,114) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r116_r180,axiom,( k2_xcmplx_0(64,116) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r132_r196,axiom,( k2_xcmplx_0(64,132) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r140_r204,axiom,( k2_xcmplx_0(64,140) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r200_r264,axiom,( k2_xcmplx_0(64,200) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r246_r310,axiom,( k2_xcmplx_0(64,246) = 310 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r24_r88,axiom,( k2_xcmplx_0(64,24) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r254_r318,axiom,( k2_xcmplx_0(64,254) = 318 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r256_r320,axiom,( k2_xcmplx_0(64,256) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r30_r94,axiom,( k2_xcmplx_0(64,30) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r313_r377,axiom,( k2_xcmplx_0(64,313) = 377 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r316_r380,axiom,( k2_xcmplx_0(64,316) = 380 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r324_r388,axiom,( k2_xcmplx_0(64,324) = 388 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r32_r96,axiom,( k2_xcmplx_0(64,32) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r33_r97,axiom,( k2_xcmplx_0(64,33) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r36_r100,axiom,( k2_xcmplx_0(64,36) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r382_r446,axiom,( k2_xcmplx_0(64,382) = 446 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r42_r106,axiom,( k2_xcmplx_0(64,42) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r446_r510,axiom,( k2_xcmplx_0(64,446) = 510 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r44_r108,axiom,( k2_xcmplx_0(64,44) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r46_r110,axiom,( k2_xcmplx_0(64,46) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r48_r112,axiom,( k2_xcmplx_0(64,48) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r57_r121,axiom,( k2_xcmplx_0(64,57) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r64_r128,axiom,( k2_xcmplx_0(64,64) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r6_r70,axiom,( k2_xcmplx_0(64,6) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r72_r136,axiom,( k2_xcmplx_0(64,72) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r64_r96_r160,axiom,( k2_xcmplx_0(64,96) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r64_rm108_rm44,axiom,( k2_xcmplx_0(64,k4_xcmplx_0(108)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__r65_r222_r287,axiom,( k2_xcmplx_0(65,222) = 287 )).
fof(rqRealAdd__k2_xcmplx_0__r65_r224_r289,axiom,( k2_xcmplx_0(65,224) = 289 )).
fof(rqRealAdd__k2_xcmplx_0__r65_r264_r329,axiom,( k2_xcmplx_0(65,264) = 329 )).
fof(rqRealAdd__k2_xcmplx_0__r65_r2_r67,axiom,( k2_xcmplx_0(65,2) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r65_r42_r107,axiom,( k2_xcmplx_0(65,42) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r65_r6_r71,axiom,( k2_xcmplx_0(65,6) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r65_r8_r73,axiom,( k2_xcmplx_0(65,8) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r66_r1_r67,axiom,( k2_xcmplx_0(66,1) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r66_r27_r93,axiom,( k2_xcmplx_0(66,27) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r66_r282_r348,axiom,( k2_xcmplx_0(66,282) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r66_r350_r416,axiom,( k2_xcmplx_0(66,350) = 416 )).
fof(rqRealAdd__k2_xcmplx_0__r66_r5_r71,axiom,( k2_xcmplx_0(66,5) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r66_r61_r127,axiom,( k2_xcmplx_0(66,61) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r66_r7_r73,axiom,( k2_xcmplx_0(66,7) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r68_r117_r185,axiom,( k2_xcmplx_0(68,117) = 185 )).
fof(rqRealAdd__k2_xcmplx_0__r68_r11_r79,axiom,( k2_xcmplx_0(68,11) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r68_r15_r83,axiom,( k2_xcmplx_0(68,15) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r68_r21_r89,axiom,( k2_xcmplx_0(68,21) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r68_r3_r71,axiom,( k2_xcmplx_0(68,3) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r68_r49_r117,axiom,( k2_xcmplx_0(68,49) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r68_r5_r73,axiom,( k2_xcmplx_0(68,5) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r68_rm186_rm118,axiom,( k2_xcmplx_0(68,k4_xcmplx_0(186)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__r68_rm24_r44,axiom,( k2_xcmplx_0(68,k4_xcmplx_0(24)) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r68_rm62_r6,axiom,( k2_xcmplx_0(68,k4_xcmplx_0(62)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r68_rm8_r60,axiom,( k2_xcmplx_0(68,k4_xcmplx_0(8)) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r69_r10_r79,axiom,( k2_xcmplx_0(69,10) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r69_r14_r83,axiom,( k2_xcmplx_0(69,14) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r69_r20_r89,axiom,( k2_xcmplx_0(69,20) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r69_r2_r71,axiom,( k2_xcmplx_0(69,2) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r69_r42_r111,axiom,( k2_xcmplx_0(69,42) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r69_r4_r73,axiom,( k2_xcmplx_0(69,4) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r0_r6,axiom,( k2_xcmplx_0(6,0) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r100_r106,axiom,( k2_xcmplx_0(6,100) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r102_r108,axiom,( k2_xcmplx_0(6,102) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r103_r109,axiom,( k2_xcmplx_0(6,103) = 109 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r104_r110,axiom,( k2_xcmplx_0(6,104) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r106_r112,axiom,( k2_xcmplx_0(6,106) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r107_r113,axiom,( k2_xcmplx_0(6,107) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r108_r114,axiom,( k2_xcmplx_0(6,108) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r109_r115,axiom,( k2_xcmplx_0(6,109) = 115 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r10_r16,axiom,( k2_xcmplx_0(6,10) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r110_r116,axiom,( k2_xcmplx_0(6,110) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r112_r118,axiom,( k2_xcmplx_0(6,112) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r114_r120,axiom,( k2_xcmplx_0(6,114) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r116_r122,axiom,( k2_xcmplx_0(6,116) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r117_r123,axiom,( k2_xcmplx_0(6,117) = 123 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r118_r124,axiom,( k2_xcmplx_0(6,118) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r119_r125,axiom,( k2_xcmplx_0(6,119) = 125 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r11_r17,axiom,( k2_xcmplx_0(6,11) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r120_r126,axiom,( k2_xcmplx_0(6,120) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r122_r128,axiom,( k2_xcmplx_0(6,122) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r123_r129,axiom,( k2_xcmplx_0(6,123) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r124_r130,axiom,( k2_xcmplx_0(6,124) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r125_r131,axiom,( k2_xcmplx_0(6,125) = 131 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r126_r132,axiom,( k2_xcmplx_0(6,126) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r129_r135,axiom,( k2_xcmplx_0(6,129) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r12_r18,axiom,( k2_xcmplx_0(6,12) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r130_r136,axiom,( k2_xcmplx_0(6,130) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r131_r137,axiom,( k2_xcmplx_0(6,131) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r133_r139,axiom,( k2_xcmplx_0(6,133) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r134_r140,axiom,( k2_xcmplx_0(6,134) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r136_r142,axiom,( k2_xcmplx_0(6,136) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r137_r143,axiom,( k2_xcmplx_0(6,137) = 143 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r138_r144,axiom,( k2_xcmplx_0(6,138) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r139_r145,axiom,( k2_xcmplx_0(6,139) = 145 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r13_r19,axiom,( k2_xcmplx_0(6,13) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r140_r146,axiom,( k2_xcmplx_0(6,140) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r142_r148,axiom,( k2_xcmplx_0(6,142) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r144_r150,axiom,( k2_xcmplx_0(6,144) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r145_r151,axiom,( k2_xcmplx_0(6,145) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r146_r152,axiom,( k2_xcmplx_0(6,146) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r148_r154,axiom,( k2_xcmplx_0(6,148) = 154 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r14_r20,axiom,( k2_xcmplx_0(6,14) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r150_r156,axiom,( k2_xcmplx_0(6,150) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r152_r158,axiom,( k2_xcmplx_0(6,152) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r154_r160,axiom,( k2_xcmplx_0(6,154) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r156_r162,axiom,( k2_xcmplx_0(6,156) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r158_r164,axiom,( k2_xcmplx_0(6,158) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r15_r21,axiom,( k2_xcmplx_0(6,15) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r162_r168,axiom,( k2_xcmplx_0(6,162) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r164_r170,axiom,( k2_xcmplx_0(6,164) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r167_r173,axiom,( k2_xcmplx_0(6,167) = 173 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r168_r174,axiom,( k2_xcmplx_0(6,168) = 174 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r16_r22,axiom,( k2_xcmplx_0(6,16) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r170_r176,axiom,( k2_xcmplx_0(6,170) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r172_r178,axiom,( k2_xcmplx_0(6,172) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r174_r180,axiom,( k2_xcmplx_0(6,174) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r17_r23,axiom,( k2_xcmplx_0(6,17) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r180_r186,axiom,( k2_xcmplx_0(6,180) = 186 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r181_r187,axiom,( k2_xcmplx_0(6,181) = 187 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r186_r192,axiom,( k2_xcmplx_0(6,186) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r187_r193,axiom,( k2_xcmplx_0(6,187) = 193 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r188_r194,axiom,( k2_xcmplx_0(6,188) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r18_r24,axiom,( k2_xcmplx_0(6,18) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r194_r200,axiom,( k2_xcmplx_0(6,194) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r195_r201,axiom,( k2_xcmplx_0(6,195) = 201 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r197_r203,axiom,( k2_xcmplx_0(6,197) = 203 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r198_r204,axiom,( k2_xcmplx_0(6,198) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r199_r205,axiom,( k2_xcmplx_0(6,199) = 205 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r19_r25,axiom,( k2_xcmplx_0(6,19) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7,axiom,( k2_xcmplx_0(6,1) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r200_r206,axiom,( k2_xcmplx_0(6,200) = 206 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r201_r207,axiom,( k2_xcmplx_0(6,201) = 207 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r203_r209,axiom,( k2_xcmplx_0(6,203) = 209 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r20_r26,axiom,( k2_xcmplx_0(6,20) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r214_r220,axiom,( k2_xcmplx_0(6,214) = 220 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r215_r221,axiom,( k2_xcmplx_0(6,215) = 221 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r217_r223,axiom,( k2_xcmplx_0(6,217) = 223 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r21_r27,axiom,( k2_xcmplx_0(6,21) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r225_r231,axiom,( k2_xcmplx_0(6,225) = 231 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r226_r232,axiom,( k2_xcmplx_0(6,226) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r228_r234,axiom,( k2_xcmplx_0(6,228) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r229_r235,axiom,( k2_xcmplx_0(6,229) = 235 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r22_r28,axiom,( k2_xcmplx_0(6,22) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r233_r239,axiom,( k2_xcmplx_0(6,233) = 239 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r234_r240,axiom,( k2_xcmplx_0(6,234) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r239_r245,axiom,( k2_xcmplx_0(6,239) = 245 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r23_r29,axiom,( k2_xcmplx_0(6,23) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r246_r252,axiom,( k2_xcmplx_0(6,246) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r24_r30,axiom,( k2_xcmplx_0(6,24) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r251_r257,axiom,( k2_xcmplx_0(6,251) = 257 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r254_r260,axiom,( k2_xcmplx_0(6,254) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r25_r31,axiom,( k2_xcmplx_0(6,25) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r261_r267,axiom,( k2_xcmplx_0(6,261) = 267 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r264_r270,axiom,( k2_xcmplx_0(6,264) = 270 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r26_r32,axiom,( k2_xcmplx_0(6,26) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r274_r280,axiom,( k2_xcmplx_0(6,274) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r27_r33,axiom,( k2_xcmplx_0(6,27) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r280_r286,axiom,( k2_xcmplx_0(6,280) = 286 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r281_r287,axiom,( k2_xcmplx_0(6,281) = 287 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r282_r288,axiom,( k2_xcmplx_0(6,282) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r286_r292,axiom,( k2_xcmplx_0(6,286) = 292 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r288_r294,axiom,( k2_xcmplx_0(6,288) = 294 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r28_r34,axiom,( k2_xcmplx_0(6,28) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r294_r300,axiom,( k2_xcmplx_0(6,294) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r29_r35,axiom,( k2_xcmplx_0(6,29) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r2_r8,axiom,( k2_xcmplx_0(6,2) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r300_r306,axiom,( k2_xcmplx_0(6,300) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r303_r309,axiom,( k2_xcmplx_0(6,303) = 309 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r304_r310,axiom,( k2_xcmplx_0(6,304) = 310 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r306_r312,axiom,( k2_xcmplx_0(6,306) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r30_r36,axiom,( k2_xcmplx_0(6,30) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r316_r322,axiom,( k2_xcmplx_0(6,316) = 322 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r31_r37,axiom,( k2_xcmplx_0(6,31) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r321_r327,axiom,( k2_xcmplx_0(6,321) = 327 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r325_r331,axiom,( k2_xcmplx_0(6,325) = 331 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r32_r38,axiom,( k2_xcmplx_0(6,32) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r334_r340,axiom,( k2_xcmplx_0(6,334) = 340 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r33_r39,axiom,( k2_xcmplx_0(6,33) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r342_r348,axiom,( k2_xcmplx_0(6,342) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r344_r350,axiom,( k2_xcmplx_0(6,344) = 350 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r346_r352,axiom,( k2_xcmplx_0(6,346) = 352 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r348_r354,axiom,( k2_xcmplx_0(6,348) = 354 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r34_r40,axiom,( k2_xcmplx_0(6,34) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r354_r360,axiom,( k2_xcmplx_0(6,354) = 360 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r35_r41,axiom,( k2_xcmplx_0(6,35) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r36_r42,axiom,( k2_xcmplx_0(6,36) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r372_r378,axiom,( k2_xcmplx_0(6,372) = 378 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r373_r379,axiom,( k2_xcmplx_0(6,373) = 379 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r379_r385,axiom,( k2_xcmplx_0(6,379) = 385 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r37_r43,axiom,( k2_xcmplx_0(6,37) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r38_r44,axiom,( k2_xcmplx_0(6,38) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r39_r45,axiom,( k2_xcmplx_0(6,39) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r3_r9,axiom,( k2_xcmplx_0(6,3) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r40_r46,axiom,( k2_xcmplx_0(6,40) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r414_r420,axiom,( k2_xcmplx_0(6,414) = 420 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r416_r422,axiom,( k2_xcmplx_0(6,416) = 422 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r41_r47,axiom,( k2_xcmplx_0(6,41) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r421_r427,axiom,( k2_xcmplx_0(6,421) = 427 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r42_r48,axiom,( k2_xcmplx_0(6,42) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r436_r442,axiom,( k2_xcmplx_0(6,436) = 442 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r43_r49,axiom,( k2_xcmplx_0(6,43) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r44_r50,axiom,( k2_xcmplx_0(6,44) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r46_r52,axiom,( k2_xcmplx_0(6,46) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r471_r477,axiom,( k2_xcmplx_0(6,471) = 477 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r475_r481,axiom,( k2_xcmplx_0(6,475) = 481 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r484_r490,axiom,( k2_xcmplx_0(6,484) = 490 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r48_r54,axiom,( k2_xcmplx_0(6,48) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r491_r497,axiom,( k2_xcmplx_0(6,491) = 497 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r496_r502,axiom,( k2_xcmplx_0(6,496) = 502 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r49_r55,axiom,( k2_xcmplx_0(6,49) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r4_r10,axiom,( k2_xcmplx_0(6,4) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r50_r56,axiom,( k2_xcmplx_0(6,50) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r514_r520,axiom,( k2_xcmplx_0(6,514) = 520 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r51_r57,axiom,( k2_xcmplx_0(6,51) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r52_r58,axiom,( k2_xcmplx_0(6,52) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r53_r59,axiom,( k2_xcmplx_0(6,53) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r540_r546,axiom,( k2_xcmplx_0(6,540) = 546 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r541_r547,axiom,( k2_xcmplx_0(6,541) = 547 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r54_r60,axiom,( k2_xcmplx_0(6,54) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r557_r563,axiom,( k2_xcmplx_0(6,557) = 563 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r55_r61,axiom,( k2_xcmplx_0(6,55) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r56_r62,axiom,( k2_xcmplx_0(6,56) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r58_r64,axiom,( k2_xcmplx_0(6,58) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r5_r11,axiom,( k2_xcmplx_0(6,5) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r60_r66,axiom,( k2_xcmplx_0(6,60) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r61_r67,axiom,( k2_xcmplx_0(6,61) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r624_r630,axiom,( k2_xcmplx_0(6,624) = 630 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r62_r68,axiom,( k2_xcmplx_0(6,62) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r63_r69,axiom,( k2_xcmplx_0(6,63) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r64_r70,axiom,( k2_xcmplx_0(6,64) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r654_r660,axiom,( k2_xcmplx_0(6,654) = 660 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r65_r71,axiom,( k2_xcmplx_0(6,65) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r664_r670,axiom,( k2_xcmplx_0(6,664) = 670 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r66_r72,axiom,( k2_xcmplx_0(6,66) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r67_r73,axiom,( k2_xcmplx_0(6,67) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r68_r74,axiom,( k2_xcmplx_0(6,68) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r694_r700,axiom,( k2_xcmplx_0(6,694) = 700 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r69_r75,axiom,( k2_xcmplx_0(6,69) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r6_r12,axiom,( k2_xcmplx_0(6,6) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r70_r76,axiom,( k2_xcmplx_0(6,70) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r71_r77,axiom,( k2_xcmplx_0(6,71) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r72_r78,axiom,( k2_xcmplx_0(6,72) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r74_r80,axiom,( k2_xcmplx_0(6,74) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r751_r757,axiom,( k2_xcmplx_0(6,751) = 757 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r76_r82,axiom,( k2_xcmplx_0(6,76) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r774_r780,axiom,( k2_xcmplx_0(6,774) = 780 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r779_r785,axiom,( k2_xcmplx_0(6,779) = 785 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r77_r83,axiom,( k2_xcmplx_0(6,77) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r78_r84,axiom,( k2_xcmplx_0(6,78) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r79_r85,axiom,( k2_xcmplx_0(6,79) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r7_r13,axiom,( k2_xcmplx_0(6,7) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r80_r86,axiom,( k2_xcmplx_0(6,80) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r81_r87,axiom,( k2_xcmplx_0(6,81) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r84_r90,axiom,( k2_xcmplx_0(6,84) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r854_r860,axiom,( k2_xcmplx_0(6,854) = 860 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r85_r91,axiom,( k2_xcmplx_0(6,85) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r87_r93,axiom,( k2_xcmplx_0(6,87) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r89_r95,axiom,( k2_xcmplx_0(6,89) = 95 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r8_r14,axiom,( k2_xcmplx_0(6,8) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r90_r96,axiom,( k2_xcmplx_0(6,90) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r91_r97,axiom,( k2_xcmplx_0(6,91) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r92_r98,axiom,( k2_xcmplx_0(6,92) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r94_r100,axiom,( k2_xcmplx_0(6,94) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r95_r101,axiom,( k2_xcmplx_0(6,95) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r96_r102,axiom,( k2_xcmplx_0(6,96) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r97_r103,axiom,( k2_xcmplx_0(6,97) = 103 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r98_r104,axiom,( k2_xcmplx_0(6,98) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r6_r9_r15,axiom,( k2_xcmplx_0(6,9) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm107_rm101,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(107)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm10_rm4,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(10)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm112_rm106,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(112)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm11_rm5,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(11)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm12_rm6,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(12)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm130_rm124,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(130)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm136_rm130,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(136)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm138_rm132,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(138)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm13_rm7,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(13)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm141_rm135,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(141)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm144_rm138,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(144)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm14_rm8,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(14)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm155_rm149,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(155)) = k4_xcmplx_0(149) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm15_rm9,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(15)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm16_rm10,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(16)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm172_rm166,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(172)) = k4_xcmplx_0(166) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm18_rm12,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(18)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm19_rm13,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(19)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm1_r5,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(1)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm20_rm14,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(20)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm22_rm16,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(22)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm24_rm18,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(24)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm262_rm256,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(262)) = k4_xcmplx_0(256) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm26_rm20,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(26)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm28_rm22,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(28)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm2_r4,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(2)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm32_rm26,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(32)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm3_r3,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(3)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm46_rm40,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(46)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm48_rm42,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(48)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm49_rm43,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(49)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm4_r2,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(4)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm51_rm45,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(51)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm52_rm46,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(52)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm5_r1,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(5)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm61_rm55,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(61)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm67_rm61,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(67)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm6_r0,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(6)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm7_rm1,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(7)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm84_rm78,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(84)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm89_rm83,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(89)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm8_rm2,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(8)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm95_rm89,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(95)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rm9_rm3,axiom,( k2_xcmplx_0(6,k4_xcmplx_0(9)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rn119d5_rn149d5,axiom,( k2_xcmplx_0(6,k7_xcmplx_0(119,5)) = k7_xcmplx_0(149,5) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rn1d2_rn13d2,axiom,( k2_xcmplx_0(6,k7_xcmplx_0(1,2)) = k7_xcmplx_0(13,2) )).
fof(rqRealAdd__k2_xcmplx_0__r6_rn3d2_rn15d2,axiom,( k2_xcmplx_0(6,k7_xcmplx_0(3,2)) = k7_xcmplx_0(15,2) )).
fof(rqRealAdd__k2_xcmplx_0__r70_r10_r80,axiom,( k2_xcmplx_0(70,10) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r122_r192,axiom,( k2_xcmplx_0(70,122) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r128_r198,axiom,( k2_xcmplx_0(70,128) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r1_r71,axiom,( k2_xcmplx_0(70,1) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r26_r96,axiom,( k2_xcmplx_0(70,26) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r28_r98,axiom,( k2_xcmplx_0(70,28) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r32_r102,axiom,( k2_xcmplx_0(70,32) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r3_r73,axiom,( k2_xcmplx_0(70,3) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r50_r120,axiom,( k2_xcmplx_0(70,50) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r70_r96_r166,axiom,( k2_xcmplx_0(70,96) = 166 )).
fof(rqRealAdd__k2_xcmplx_0__r70_rm1_r69,axiom,( k2_xcmplx_0(70,k4_xcmplx_0(1)) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r102_r174,axiom,( k2_xcmplx_0(72,102) = 174 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r104_r176,axiom,( k2_xcmplx_0(72,104) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r108_r180,axiom,( k2_xcmplx_0(72,108) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r117_r189,axiom,( k2_xcmplx_0(72,117) = 189 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r120_r192,axiom,( k2_xcmplx_0(72,120) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r124_r196,axiom,( k2_xcmplx_0(72,124) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r126_r198,axiom,( k2_xcmplx_0(72,126) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r128_r200,axiom,( k2_xcmplx_0(72,128) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r12_r84,axiom,( k2_xcmplx_0(72,12) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r132_r204,axiom,( k2_xcmplx_0(72,132) = 204 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r134_r206,axiom,( k2_xcmplx_0(72,134) = 206 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r136_r208,axiom,( k2_xcmplx_0(72,136) = 208 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r138_r210,axiom,( k2_xcmplx_0(72,138) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r140_r212,axiom,( k2_xcmplx_0(72,140) = 212 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r144_r216,axiom,( k2_xcmplx_0(72,144) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r146_r218,axiom,( k2_xcmplx_0(72,146) = 218 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r150_r222,axiom,( k2_xcmplx_0(72,150) = 222 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r168_r240,axiom,( k2_xcmplx_0(72,168) = 240 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r16_r88,axiom,( k2_xcmplx_0(72,16) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r176_r248,axiom,( k2_xcmplx_0(72,176) = 248 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r180_r252,axiom,( k2_xcmplx_0(72,180) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r182_r254,axiom,( k2_xcmplx_0(72,182) = 254 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r184_r256,axiom,( k2_xcmplx_0(72,184) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r192_r264,axiom,( k2_xcmplx_0(72,192) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r1_r73,axiom,( k2_xcmplx_0(72,1) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r200_r272,axiom,( k2_xcmplx_0(72,200) = 272 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r205_r277,axiom,( k2_xcmplx_0(72,205) = 277 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r206_r278,axiom,( k2_xcmplx_0(72,206) = 278 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r212_r284,axiom,( k2_xcmplx_0(72,212) = 284 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r216_r288,axiom,( k2_xcmplx_0(72,216) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r224_r296,axiom,( k2_xcmplx_0(72,224) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r228_r300,axiom,( k2_xcmplx_0(72,228) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r240_r312,axiom,( k2_xcmplx_0(72,240) = 312 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r24_r96,axiom,( k2_xcmplx_0(72,24) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r252_r324,axiom,( k2_xcmplx_0(72,252) = 324 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r254_r326,axiom,( k2_xcmplx_0(72,254) = 326 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r258_r330,axiom,( k2_xcmplx_0(72,258) = 330 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r264_r336,axiom,( k2_xcmplx_0(72,264) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r276_r348,axiom,( k2_xcmplx_0(72,276) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r280_r352,axiom,( k2_xcmplx_0(72,280) = 352 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r284_r356,axiom,( k2_xcmplx_0(72,284) = 356 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r294_r366,axiom,( k2_xcmplx_0(72,294) = 366 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r296_r368,axiom,( k2_xcmplx_0(72,296) = 368 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r302_r374,axiom,( k2_xcmplx_0(72,302) = 374 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r310_r382,axiom,( k2_xcmplx_0(72,310) = 382 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r320_r392,axiom,( k2_xcmplx_0(72,320) = 392 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r34_r106,axiom,( k2_xcmplx_0(72,34) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r35_r107,axiom,( k2_xcmplx_0(72,35) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r368_r440,axiom,( k2_xcmplx_0(72,368) = 440 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r36_r108,axiom,( k2_xcmplx_0(72,36) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r372_r444,axiom,( k2_xcmplx_0(72,372) = 444 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r378_r450,axiom,( k2_xcmplx_0(72,378) = 450 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r37_r109,axiom,( k2_xcmplx_0(72,37) = 109 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r380_r452,axiom,( k2_xcmplx_0(72,380) = 452 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r384_r456,axiom,( k2_xcmplx_0(72,384) = 456 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r38_r110,axiom,( k2_xcmplx_0(72,38) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r399_r471,axiom,( k2_xcmplx_0(72,399) = 471 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r39_r111,axiom,( k2_xcmplx_0(72,39) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r402_r474,axiom,( k2_xcmplx_0(72,402) = 474 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r42_r114,axiom,( k2_xcmplx_0(72,42) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r44_r116,axiom,( k2_xcmplx_0(72,44) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r462_r534,axiom,( k2_xcmplx_0(72,462) = 534 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r46_r118,axiom,( k2_xcmplx_0(72,46) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r472_r544,axiom,( k2_xcmplx_0(72,472) = 544 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r47_r119,axiom,( k2_xcmplx_0(72,47) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r48_r120,axiom,( k2_xcmplx_0(72,48) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r492_r564,axiom,( k2_xcmplx_0(72,492) = 564 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r52_r124,axiom,( k2_xcmplx_0(72,52) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r55_r127,axiom,( k2_xcmplx_0(72,55) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r564_r636,axiom,( k2_xcmplx_0(72,564) = 636 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r56_r128,axiom,( k2_xcmplx_0(72,56) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r582_r654,axiom,( k2_xcmplx_0(72,582) = 654 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r62_r134,axiom,( k2_xcmplx_0(72,62) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r630_r702,axiom,( k2_xcmplx_0(72,630) = 702 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r68_r140,axiom,( k2_xcmplx_0(72,68) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r692_r764,axiom,( k2_xcmplx_0(72,692) = 764 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r69_r141,axiom,( k2_xcmplx_0(72,69) = 141 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r6_r78,axiom,( k2_xcmplx_0(72,6) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r700_r772,axiom,( k2_xcmplx_0(72,700) = 772 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r702_r774,axiom,( k2_xcmplx_0(72,702) = 774 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r70_r142,axiom,( k2_xcmplx_0(72,70) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r71_r143,axiom,( k2_xcmplx_0(72,71) = 143 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r72_r144,axiom,( k2_xcmplx_0(72,72) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r74_r146,axiom,( k2_xcmplx_0(72,74) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r77_r149,axiom,( k2_xcmplx_0(72,77) = 149 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r80_r152,axiom,( k2_xcmplx_0(72,80) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r828_r900,axiom,( k2_xcmplx_0(72,828) = 900 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r84_r156,axiom,( k2_xcmplx_0(72,84) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r8_r80,axiom,( k2_xcmplx_0(72,8) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r900_r972,axiom,( k2_xcmplx_0(72,900) = 972 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r90_r162,axiom,( k2_xcmplx_0(72,90) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r72_r96_r168,axiom,( k2_xcmplx_0(72,96) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm11_r61,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(11)) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm126_rm54,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(126)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm12_r60,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(12)) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm222_rm150,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(222)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm24_r48,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(24)) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm32_r40,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(32)) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm35_r37,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(35)) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm48_r24,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(48)) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm60_r12,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(60)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r72_rm75_rm3,axiom,( k2_xcmplx_0(72,k4_xcmplx_0(75)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r732_rm91_r641,axiom,( k2_xcmplx_0(732,k4_xcmplx_0(91)) = 641 )).
fof(rqRealAdd__k2_xcmplx_0__r73_r18_r91,axiom,( k2_xcmplx_0(73,18) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r75_r148_r223,axiom,( k2_xcmplx_0(75,148) = 223 )).
fof(rqRealAdd__k2_xcmplx_0__r75_r4_r79,axiom,( k2_xcmplx_0(75,4) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r75_r6_r81,axiom,( k2_xcmplx_0(75,6) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r75_rm36_r39,axiom,( k2_xcmplx_0(75,k4_xcmplx_0(36)) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r75_rm96_rm21,axiom,( k2_xcmplx_0(75,k4_xcmplx_0(96)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__r76_r108_r184,axiom,( k2_xcmplx_0(76,108) = 184 )).
fof(rqRealAdd__k2_xcmplx_0__r76_r13_r89,axiom,( k2_xcmplx_0(76,13) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r76_r3_r79,axiom,( k2_xcmplx_0(76,3) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r76_r7_r83,axiom,( k2_xcmplx_0(76,7) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r76_r94_r170,axiom,( k2_xcmplx_0(76,94) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__r76_rm104_rm28,axiom,( k2_xcmplx_0(76,k4_xcmplx_0(104)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r76_rm332_rm256,axiom,( k2_xcmplx_0(76,k4_xcmplx_0(332)) = k4_xcmplx_0(256) )).
fof(rqRealAdd__k2_xcmplx_0__r77_r223_r300,axiom,( k2_xcmplx_0(77,223) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r77_r2_r79,axiom,( k2_xcmplx_0(77,2) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r77_r6_r83,axiom,( k2_xcmplx_0(77,6) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r780_r89_r869,axiom,( k2_xcmplx_0(780,89) = 869 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r11_r89,axiom,( k2_xcmplx_0(78,11) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r141_r219,axiom,( k2_xcmplx_0(78,141) = 219 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r151_r229,axiom,( k2_xcmplx_0(78,151) = 229 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r1_r79,axiom,( k2_xcmplx_0(78,1) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r218_r296,axiom,( k2_xcmplx_0(78,218) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r42_r120,axiom,( k2_xcmplx_0(78,42) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r51_r129,axiom,( k2_xcmplx_0(78,51) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r5_r83,axiom,( k2_xcmplx_0(78,5) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r665_r743,axiom,( k2_xcmplx_0(78,665) = 743 )).
fof(rqRealAdd__k2_xcmplx_0__r78_r78_r156,axiom,( k2_xcmplx_0(78,78) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm102_rm24,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(102)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm110_rm32,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(110)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm114_rm36,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(114)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm159_rm81,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(159)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm161_rm83,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(161)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm163_rm85,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(163)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm165_rm87,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(165)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm51_r27,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(51)) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm81_rm3,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(81)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r78_rm98_rm20,axiom,( k2_xcmplx_0(78,k4_xcmplx_0(98)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r79_r41_r120,axiom,( k2_xcmplx_0(79,41) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r0_r7,axiom,( k2_xcmplx_0(7,0) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r10_r17,axiom,( k2_xcmplx_0(7,10) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r112_r119,axiom,( k2_xcmplx_0(7,112) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r114_r121,axiom,( k2_xcmplx_0(7,114) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r121_r128,axiom,( k2_xcmplx_0(7,121) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r123_r130,axiom,( k2_xcmplx_0(7,123) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r129_r136,axiom,( k2_xcmplx_0(7,129) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r12_r19,axiom,( k2_xcmplx_0(7,12) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r132_r139,axiom,( k2_xcmplx_0(7,132) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r135_r142,axiom,( k2_xcmplx_0(7,135) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r13_r20,axiom,( k2_xcmplx_0(7,13) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r149_r156,axiom,( k2_xcmplx_0(7,149) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r14_r21,axiom,( k2_xcmplx_0(7,14) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r156_r163,axiom,( k2_xcmplx_0(7,156) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r169_r176,axiom,( k2_xcmplx_0(7,169) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r16_r23,axiom,( k2_xcmplx_0(7,16) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r17_r24,axiom,( k2_xcmplx_0(7,17) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r181_r188,axiom,( k2_xcmplx_0(7,181) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r18_r25,axiom,( k2_xcmplx_0(7,18) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r1_r8,axiom,( k2_xcmplx_0(7,1) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r20_r27,axiom,( k2_xcmplx_0(7,20) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r216_r223,axiom,( k2_xcmplx_0(7,216) = 223 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r21_r28,axiom,( k2_xcmplx_0(7,21) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r22_r29,axiom,( k2_xcmplx_0(7,22) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r23_r30,axiom,( k2_xcmplx_0(7,23) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r245_r252,axiom,( k2_xcmplx_0(7,245) = 252 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r24_r31,axiom,( k2_xcmplx_0(7,24) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r25_r32,axiom,( k2_xcmplx_0(7,25) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r266_r273,axiom,( k2_xcmplx_0(7,266) = 273 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r28_r35,axiom,( k2_xcmplx_0(7,28) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r297_r304,axiom,( k2_xcmplx_0(7,297) = 304 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r29_r36,axiom,( k2_xcmplx_0(7,29) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r2_r9,axiom,( k2_xcmplx_0(7,2) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r31_r38,axiom,( k2_xcmplx_0(7,31) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r32_r39,axiom,( k2_xcmplx_0(7,32) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r34_r41,axiom,( k2_xcmplx_0(7,34) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r35_r42,axiom,( k2_xcmplx_0(7,35) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r36_r43,axiom,( k2_xcmplx_0(7,36) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r37_r44,axiom,( k2_xcmplx_0(7,37) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r385_r392,axiom,( k2_xcmplx_0(7,385) = 392 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r3_r10,axiom,( k2_xcmplx_0(7,3) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r42_r49,axiom,( k2_xcmplx_0(7,42) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r44_r51,axiom,( k2_xcmplx_0(7,44) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r46_r53,axiom,( k2_xcmplx_0(7,46) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r47_r54,axiom,( k2_xcmplx_0(7,47) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r48_r55,axiom,( k2_xcmplx_0(7,48) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r49_r56,axiom,( k2_xcmplx_0(7,49) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r4_r11,axiom,( k2_xcmplx_0(7,4) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r50_r57,axiom,( k2_xcmplx_0(7,50) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r51_r58,axiom,( k2_xcmplx_0(7,51) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r52_r59,axiom,( k2_xcmplx_0(7,52) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r54_r61,axiom,( k2_xcmplx_0(7,54) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r56_r63,axiom,( k2_xcmplx_0(7,56) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r58_r65,axiom,( k2_xcmplx_0(7,58) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r59_r66,axiom,( k2_xcmplx_0(7,59) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r5_r12,axiom,( k2_xcmplx_0(7,5) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r624_r631,axiom,( k2_xcmplx_0(7,624) = 631 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r64_r71,axiom,( k2_xcmplx_0(7,64) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r66_r73,axiom,( k2_xcmplx_0(7,66) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r6_r13,axiom,( k2_xcmplx_0(7,6) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r76_r83,axiom,( k2_xcmplx_0(7,76) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r7_r14,axiom,( k2_xcmplx_0(7,7) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r8_r15,axiom,( k2_xcmplx_0(7,8) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r93_r100,axiom,( k2_xcmplx_0(7,93) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r99_r106,axiom,( k2_xcmplx_0(7,99) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r7_r9_r16,axiom,( k2_xcmplx_0(7,9) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm11_rm4,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(11)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm12_rm5,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(12)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm13_rm6,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(13)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm14_rm7,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(14)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm15_rm8,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(15)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm16_rm9,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(16)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm18_rm11,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(18)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm1_r6,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(1)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm20_rm13,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(20)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm21_rm14,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(21)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm2_r5,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(2)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm39_rm32,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(39)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm3_r4,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(3)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm4_r3,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(4)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm5_r2,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(5)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm6_r1,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(6)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm7_r0,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(7)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm8_rm1,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(8)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm92_rm85,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(92)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__r7_rm9_rm2,axiom,( k2_xcmplx_0(7,k4_xcmplx_0(9)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r80_r120_r200,axiom,( k2_xcmplx_0(80,120) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r146_r226,axiom,( k2_xcmplx_0(80,146) = 226 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r152_r232,axiom,( k2_xcmplx_0(80,152) = 232 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r176_r256,axiom,( k2_xcmplx_0(80,176) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r334_r414,axiom,( k2_xcmplx_0(80,334) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r350_r430,axiom,( k2_xcmplx_0(80,350) = 430 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r3_r83,axiom,( k2_xcmplx_0(80,3) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r404_r484,axiom,( k2_xcmplx_0(80,404) = 484 )).
fof(rqRealAdd__k2_xcmplx_0__r80_r716_r796,axiom,( k2_xcmplx_0(80,716) = 796 )).
fof(rqRealAdd__k2_xcmplx_0__r80_rm1_r79,axiom,( k2_xcmplx_0(80,k4_xcmplx_0(1)) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r80_rm210_rm130,axiom,( k2_xcmplx_0(80,k4_xcmplx_0(210)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__r80_rm54_r26,axiom,( k2_xcmplx_0(80,k4_xcmplx_0(54)) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r80_rm636_rm556,axiom,( k2_xcmplx_0(80,k4_xcmplx_0(636)) = k4_xcmplx_0(556) )).
fof(rqRealAdd__k2_xcmplx_0__r81_r0_r81,axiom,( k2_xcmplx_0(81,0) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r81_r16_r97,axiom,( k2_xcmplx_0(81,16) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r81_r2_r83,axiom,( k2_xcmplx_0(81,2) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r81_r377_r458,axiom,( k2_xcmplx_0(81,377) = 458 )).
fof(rqRealAdd__k2_xcmplx_0__r81_r93_r174,axiom,( k2_xcmplx_0(81,93) = 174 )).
fof(rqRealAdd__k2_xcmplx_0__r82_r1_r83,axiom,( k2_xcmplx_0(82,1) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r126_r210,axiom,( k2_xcmplx_0(84,126) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r138_r222,axiom,( k2_xcmplx_0(84,138) = 222 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r150_r234,axiom,( k2_xcmplx_0(84,150) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r161_r245,axiom,( k2_xcmplx_0(84,161) = 245 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r183_r267,axiom,( k2_xcmplx_0(84,183) = 267 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r256_r340,axiom,( k2_xcmplx_0(84,256) = 340 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r27_r111,axiom,( k2_xcmplx_0(84,27) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r310_r394,axiom,( k2_xcmplx_0(84,310) = 394 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r400_r484,axiom,( k2_xcmplx_0(84,400) = 484 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r402_r486,axiom,( k2_xcmplx_0(84,402) = 486 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r427_r511,axiom,( k2_xcmplx_0(84,427) = 511 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r42_r126,axiom,( k2_xcmplx_0(84,42) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r5_r89,axiom,( k2_xcmplx_0(84,5) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r67_r151,axiom,( k2_xcmplx_0(84,67) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r68_r152,axiom,( k2_xcmplx_0(84,68) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r84_r168,axiom,( k2_xcmplx_0(84,84) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r876_r960,axiom,( k2_xcmplx_0(84,876) = 960 )).
fof(rqRealAdd__k2_xcmplx_0__r84_r97_r181,axiom,( k2_xcmplx_0(84,97) = 181 )).
fof(rqRealAdd__k2_xcmplx_0__r84_rm19_r65,axiom,( k2_xcmplx_0(84,k4_xcmplx_0(19)) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r84_rm2_r82,axiom,( k2_xcmplx_0(84,k4_xcmplx_0(2)) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r84_rm572_rm488,axiom,( k2_xcmplx_0(84,k4_xcmplx_0(572)) = k4_xcmplx_0(488) )).
fof(rqRealAdd__k2_xcmplx_0__r84_rm78_r6,axiom,( k2_xcmplx_0(84,k4_xcmplx_0(78)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r84_rm8_r76,axiom,( k2_xcmplx_0(84,k4_xcmplx_0(8)) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r84_rm984_rm900,axiom,( k2_xcmplx_0(84,k4_xcmplx_0(984)) = k4_xcmplx_0(900) )).
fof(rqRealAdd__k2_xcmplx_0__r85_r12_r97,axiom,( k2_xcmplx_0(85,12) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r85_r16_r101,axiom,( k2_xcmplx_0(85,16) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r85_r4_r89,axiom,( k2_xcmplx_0(85,4) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r87_r16_r103,axiom,( k2_xcmplx_0(87,16) = 103 )).
fof(rqRealAdd__k2_xcmplx_0__r87_r2_r89,axiom,( k2_xcmplx_0(87,2) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r87_r46_r133,axiom,( k2_xcmplx_0(87,46) = 133 )).
fof(rqRealAdd__k2_xcmplx_0__r87_r51_r138,axiom,( k2_xcmplx_0(87,51) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r87_r57_r144,axiom,( k2_xcmplx_0(87,57) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r88_r176_r264,axiom,( k2_xcmplx_0(88,176) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r88_r1_r89,axiom,( k2_xcmplx_0(88,1) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r88_r40_r128,axiom,( k2_xcmplx_0(88,40) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__r88_r48_r136,axiom,( k2_xcmplx_0(88,48) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r88_r9_r97,axiom,( k2_xcmplx_0(88,9) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r89_r780_r869,axiom,( k2_xcmplx_0(89,780) = 869 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r0_r8,axiom,( k2_xcmplx_0(8,0) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r100_r108,axiom,( k2_xcmplx_0(8,100) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r103_r111,axiom,( k2_xcmplx_0(8,103) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r104_r112,axiom,( k2_xcmplx_0(8,104) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r105_r113,axiom,( k2_xcmplx_0(8,105) = 113 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r108_r116,axiom,( k2_xcmplx_0(8,108) = 116 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r10_r18,axiom,( k2_xcmplx_0(8,10) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r111_r119,axiom,( k2_xcmplx_0(8,111) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r113_r121,axiom,( k2_xcmplx_0(8,113) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r114_r122,axiom,( k2_xcmplx_0(8,114) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r118_r126,axiom,( k2_xcmplx_0(8,118) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r119_r127,axiom,( k2_xcmplx_0(8,119) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r11_r19,axiom,( k2_xcmplx_0(8,11) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r122_r130,axiom,( k2_xcmplx_0(8,122) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r124_r132,axiom,( k2_xcmplx_0(8,124) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r126_r134,axiom,( k2_xcmplx_0(8,126) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r128_r136,axiom,( k2_xcmplx_0(8,128) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r12_r20,axiom,( k2_xcmplx_0(8,12) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r130_r138,axiom,( k2_xcmplx_0(8,130) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r132_r140,axiom,( k2_xcmplx_0(8,132) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r133_r141,axiom,( k2_xcmplx_0(8,133) = 141 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r139_r147,axiom,( k2_xcmplx_0(8,139) = 147 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r13_r21,axiom,( k2_xcmplx_0(8,13) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r140_r148,axiom,( k2_xcmplx_0(8,140) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r142_r150,axiom,( k2_xcmplx_0(8,142) = 150 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r14_r22,axiom,( k2_xcmplx_0(8,14) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r151_r159,axiom,( k2_xcmplx_0(8,151) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r152_r160,axiom,( k2_xcmplx_0(8,152) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r154_r162,axiom,( k2_xcmplx_0(8,154) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r157_r165,axiom,( k2_xcmplx_0(8,157) = 165 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r15_r23,axiom,( k2_xcmplx_0(8,15) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r160_r168,axiom,( k2_xcmplx_0(8,160) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r164_r172,axiom,( k2_xcmplx_0(8,164) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r16_r24,axiom,( k2_xcmplx_0(8,16) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r170_r178,axiom,( k2_xcmplx_0(8,170) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r171_r179,axiom,( k2_xcmplx_0(8,171) = 179 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r176_r184,axiom,( k2_xcmplx_0(8,176) = 184 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r178_r186,axiom,( k2_xcmplx_0(8,178) = 186 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r17_r25,axiom,( k2_xcmplx_0(8,17) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r186_r194,axiom,( k2_xcmplx_0(8,186) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r189_r197,axiom,( k2_xcmplx_0(8,189) = 197 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r18_r26,axiom,( k2_xcmplx_0(8,18) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r192_r200,axiom,( k2_xcmplx_0(8,192) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r194_r202,axiom,( k2_xcmplx_0(8,194) = 202 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r19_r27,axiom,( k2_xcmplx_0(8,19) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r1_r9,axiom,( k2_xcmplx_0(8,1) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r204_r212,axiom,( k2_xcmplx_0(8,204) = 212 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r20_r28,axiom,( k2_xcmplx_0(8,20) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r214_r222,axiom,( k2_xcmplx_0(8,214) = 222 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r217_r225,axiom,( k2_xcmplx_0(8,217) = 225 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r21_r29,axiom,( k2_xcmplx_0(8,21) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r22_r30,axiom,( k2_xcmplx_0(8,22) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r230_r238,axiom,( k2_xcmplx_0(8,230) = 238 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r238_r246,axiom,( k2_xcmplx_0(8,238) = 246 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r23_r31,axiom,( k2_xcmplx_0(8,23) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r24_r32,axiom,( k2_xcmplx_0(8,24) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r258_r266,axiom,( k2_xcmplx_0(8,258) = 266 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r25_r33,axiom,( k2_xcmplx_0(8,25) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r26_r34,axiom,( k2_xcmplx_0(8,26) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r270_r278,axiom,( k2_xcmplx_0(8,270) = 278 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r272_r280,axiom,( k2_xcmplx_0(8,272) = 280 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r27_r35,axiom,( k2_xcmplx_0(8,27) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r288_r296,axiom,( k2_xcmplx_0(8,288) = 296 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r28_r36,axiom,( k2_xcmplx_0(8,28) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r294_r302,axiom,( k2_xcmplx_0(8,294) = 302 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r2_r10,axiom,( k2_xcmplx_0(8,2) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r300_r308,axiom,( k2_xcmplx_0(8,300) = 308 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r30_r38,axiom,( k2_xcmplx_0(8,30) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r312_r320,axiom,( k2_xcmplx_0(8,312) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r317_r325,axiom,( k2_xcmplx_0(8,317) = 325 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r31_r39,axiom,( k2_xcmplx_0(8,31) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r32_r40,axiom,( k2_xcmplx_0(8,32) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r336_r344,axiom,( k2_xcmplx_0(8,336) = 344 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r338_r346,axiom,( k2_xcmplx_0(8,338) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r33_r41,axiom,( k2_xcmplx_0(8,33) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r34_r42,axiom,( k2_xcmplx_0(8,34) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r350_r358,axiom,( k2_xcmplx_0(8,350) = 358 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r35_r43,axiom,( k2_xcmplx_0(8,35) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r364_r372,axiom,( k2_xcmplx_0(8,364) = 372 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r36_r44,axiom,( k2_xcmplx_0(8,36) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r382_r390,axiom,( k2_xcmplx_0(8,382) = 390 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r38_r46,axiom,( k2_xcmplx_0(8,38) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r39_r47,axiom,( k2_xcmplx_0(8,39) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r3_r11,axiom,( k2_xcmplx_0(8,3) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r400_r408,axiom,( k2_xcmplx_0(8,400) = 408 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r40_r48,axiom,( k2_xcmplx_0(8,40) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r410_r418,axiom,( k2_xcmplx_0(8,410) = 418 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r418_r426,axiom,( k2_xcmplx_0(8,418) = 426 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r42_r50,axiom,( k2_xcmplx_0(8,42) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r43_r51,axiom,( k2_xcmplx_0(8,43) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r440_r448,axiom,( k2_xcmplx_0(8,440) = 448 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r44_r52,axiom,( k2_xcmplx_0(8,44) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r45_r53,axiom,( k2_xcmplx_0(8,45) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r46_r54,axiom,( k2_xcmplx_0(8,46) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r481_r489,axiom,( k2_xcmplx_0(8,481) = 489 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r48_r56,axiom,( k2_xcmplx_0(8,48) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r4_r12,axiom,( k2_xcmplx_0(8,4) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r51_r59,axiom,( k2_xcmplx_0(8,51) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r52_r60,axiom,( k2_xcmplx_0(8,52) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r540_r548,axiom,( k2_xcmplx_0(8,540) = 548 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r549_r557,axiom,( k2_xcmplx_0(8,549) = 557 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r54_r62,axiom,( k2_xcmplx_0(8,54) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r58_r66,axiom,( k2_xcmplx_0(8,58) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r596_r604,axiom,( k2_xcmplx_0(8,596) = 604 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r59_r67,axiom,( k2_xcmplx_0(8,59) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r5_r13,axiom,( k2_xcmplx_0(8,5) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r608_r616,axiom,( k2_xcmplx_0(8,608) = 616 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r60_r68,axiom,( k2_xcmplx_0(8,60) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r61_r69,axiom,( k2_xcmplx_0(8,61) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r629_r637,axiom,( k2_xcmplx_0(8,629) = 637 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r63_r71,axiom,( k2_xcmplx_0(8,63) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r64_r72,axiom,( k2_xcmplx_0(8,64) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r658_r666,axiom,( k2_xcmplx_0(8,658) = 666 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r65_r73,axiom,( k2_xcmplx_0(8,65) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r68_r76,axiom,( k2_xcmplx_0(8,68) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r6_r14,axiom,( k2_xcmplx_0(8,6) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r712_r720,axiom,( k2_xcmplx_0(8,712) = 720 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r72_r80,axiom,( k2_xcmplx_0(8,72) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r73_r81,axiom,( k2_xcmplx_0(8,73) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r743_r751,axiom,( k2_xcmplx_0(8,743) = 751 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r74_r82,axiom,( k2_xcmplx_0(8,74) = 82 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r75_r83,axiom,( k2_xcmplx_0(8,75) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r764_r772,axiom,( k2_xcmplx_0(8,764) = 772 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r76_r84,axiom,( k2_xcmplx_0(8,76) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r77_r85,axiom,( k2_xcmplx_0(8,77) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r784_r792,axiom,( k2_xcmplx_0(8,784) = 792 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r7_r15,axiom,( k2_xcmplx_0(8,7) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r82_r90,axiom,( k2_xcmplx_0(8,82) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r84_r92,axiom,( k2_xcmplx_0(8,84) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r85_r93,axiom,( k2_xcmplx_0(8,85) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r88_r96,axiom,( k2_xcmplx_0(8,88) = 96 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r8_r16,axiom,( k2_xcmplx_0(8,8) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r90_r98,axiom,( k2_xcmplx_0(8,90) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r92_r100,axiom,( k2_xcmplx_0(8,92) = 100 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r96_r104,axiom,( k2_xcmplx_0(8,96) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r98_r106,axiom,( k2_xcmplx_0(8,98) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r8_r9_r17,axiom,( k2_xcmplx_0(8,9) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm109_rm101,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(109)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm10_rm2,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(10)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm110_rm102,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(110)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm111_rm103,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(111)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm11_rm3,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(11)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm120_rm112,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(120)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm12_rm4,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(12)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm13_rm5,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(13)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm14_rm6,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(14)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm156_rm148,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(156)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm15_rm7,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(15)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm162_rm154,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(162)) = k4_xcmplx_0(154) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm164_rm156,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(164)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm16_rm8,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(16)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm172_rm164,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(172)) = k4_xcmplx_0(164) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm17_rm9,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(17)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm18_rm10,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(18)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm19_rm11,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(19)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm1_r7,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(1)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm20_rm12,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(20)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm216_rm208,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(216)) = k4_xcmplx_0(208) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm23_rm15,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(23)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm240_rm232,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(240)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm24_rm16,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(24)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm27_rm19,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(27)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm28_rm20,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(28)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm2_r6,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(2)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm30_rm22,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(30)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm32_rm24,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(32)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm36_rm28,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(36)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm3_r5,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(3)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm483_rm475,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(483)) = k4_xcmplx_0(475) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm48_rm40,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(48)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm4_r4,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(4)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm5_r3,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(5)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm6_r2,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(6)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm70_rm62,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(70)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm7_r1,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(7)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm8_r0,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(8)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__r8_rm9_rm1,axiom,( k2_xcmplx_0(8,k4_xcmplx_0(9)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r8_rn5d6_rn53d6,axiom,( k2_xcmplx_0(8,k7_xcmplx_0(5,6)) = k7_xcmplx_0(53,6) )).
fof(rqRealAdd__k2_xcmplx_0__r90_r108_r198,axiom,( k2_xcmplx_0(90,108) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r126_r216,axiom,( k2_xcmplx_0(90,126) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r164_r254,axiom,( k2_xcmplx_0(90,164) = 254 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r194_r284,axiom,( k2_xcmplx_0(90,194) = 284 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r1_r91,axiom,( k2_xcmplx_0(90,1) = 91 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r220_r310,axiom,( k2_xcmplx_0(90,220) = 310 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r24_r114,axiom,( k2_xcmplx_0(90,24) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r267_r357,axiom,( k2_xcmplx_0(90,267) = 357 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r28_r118,axiom,( k2_xcmplx_0(90,28) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r31_r121,axiom,( k2_xcmplx_0(90,31) = 121 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r36_r126,axiom,( k2_xcmplx_0(90,36) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r54_r144,axiom,( k2_xcmplx_0(90,54) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r90_r86_r176,axiom,( k2_xcmplx_0(90,86) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__r90_rm100_rm10,axiom,( k2_xcmplx_0(90,k4_xcmplx_0(100)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r90_rm1_r89,axiom,( k2_xcmplx_0(90,k4_xcmplx_0(1)) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__r90_rm48_r42,axiom,( k2_xcmplx_0(90,k4_xcmplx_0(48)) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r108_r199,axiom,( k2_xcmplx_0(91,108) = 199 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r10_r101,axiom,( k2_xcmplx_0(91,10) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r165_r256,axiom,( k2_xcmplx_0(91,165) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r180_r271,axiom,( k2_xcmplx_0(91,180) = 271 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r192_r283,axiom,( k2_xcmplx_0(91,192) = 283 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r213_r304,axiom,( k2_xcmplx_0(91,213) = 304 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r484_r575,axiom,( k2_xcmplx_0(91,484) = 575 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r538_r629,axiom,( k2_xcmplx_0(91,538) = 629 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r55_r146,axiom,( k2_xcmplx_0(91,55) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r6_r97,axiom,( k2_xcmplx_0(91,6) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r91_r80_r171,axiom,( k2_xcmplx_0(91,80) = 171 )).
fof(rqRealAdd__k2_xcmplx_0__r92_r5_r97,axiom,( k2_xcmplx_0(92,5) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r92_r9_r101,axiom,( k2_xcmplx_0(92,9) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r93_r53_r146,axiom,( k2_xcmplx_0(93,53) = 146 )).
fof(rqRealAdd__k2_xcmplx_0__r93_r59_r152,axiom,( k2_xcmplx_0(93,59) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__r95_r2_r97,axiom,( k2_xcmplx_0(95,2) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r95_r6_r101,axiom,( k2_xcmplx_0(95,6) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r10_r106,axiom,( k2_xcmplx_0(96,10) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r128_r224,axiom,( k2_xcmplx_0(96,128) = 224 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r12_r108,axiom,( k2_xcmplx_0(96,12) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r14_r110,axiom,( k2_xcmplx_0(96,14) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r176_r272,axiom,( k2_xcmplx_0(96,176) = 272 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r180_r276,axiom,( k2_xcmplx_0(96,180) = 276 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r192_r288,axiom,( k2_xcmplx_0(96,192) = 288 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r196_r292,axiom,( k2_xcmplx_0(96,196) = 292 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r1_r97,axiom,( k2_xcmplx_0(96,1) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r204_r300,axiom,( k2_xcmplx_0(96,204) = 300 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r248_r344,axiom,( k2_xcmplx_0(96,248) = 344 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r24_r120,axiom,( k2_xcmplx_0(96,24) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r252_r348,axiom,( k2_xcmplx_0(96,252) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r26_r122,axiom,( k2_xcmplx_0(96,26) = 122 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r284_r380,axiom,( k2_xcmplx_0(96,284) = 380 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r288_r384,axiom,( k2_xcmplx_0(96,288) = 384 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r304_r400,axiom,( k2_xcmplx_0(96,304) = 400 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r312_r408,axiom,( k2_xcmplx_0(96,312) = 408 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r324_r420,axiom,( k2_xcmplx_0(96,324) = 420 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r34_r130,axiom,( k2_xcmplx_0(96,34) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r376_r472,axiom,( k2_xcmplx_0(96,376) = 472 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r448_r544,axiom,( k2_xcmplx_0(96,448) = 544 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r44_r140,axiom,( k2_xcmplx_0(96,44) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r48_r144,axiom,( k2_xcmplx_0(96,48) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r511_r607,axiom,( k2_xcmplx_0(96,511) = 607 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r52_r148,axiom,( k2_xcmplx_0(96,52) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r65_r161,axiom,( k2_xcmplx_0(96,65) = 161 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r66_r162,axiom,( k2_xcmplx_0(96,66) = 162 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r688_r784,axiom,( k2_xcmplx_0(96,688) = 784 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r6_r102,axiom,( k2_xcmplx_0(96,6) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r72_r168,axiom,( k2_xcmplx_0(96,72) = 168 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r8_r104,axiom,( k2_xcmplx_0(96,8) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r96_r192,axiom,( k2_xcmplx_0(96,96) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__r96_r98_r194,axiom,( k2_xcmplx_0(96,98) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__r96_rm18_r78,axiom,( k2_xcmplx_0(96,k4_xcmplx_0(18)) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__r96_rm192_rm96,axiom,( k2_xcmplx_0(96,k4_xcmplx_0(192)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__r96_rm38_r58,axiom,( k2_xcmplx_0(96,k4_xcmplx_0(38)) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r96_rm6_r90,axiom,( k2_xcmplx_0(96,k4_xcmplx_0(6)) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r96_rm78_r18,axiom,( k2_xcmplx_0(96,k4_xcmplx_0(78)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r96_rm8_r88,axiom,( k2_xcmplx_0(96,k4_xcmplx_0(8)) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__r98_r3_r101,axiom,( k2_xcmplx_0(98,3) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r99_r2_r101,axiom,( k2_xcmplx_0(99,2) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r99_rm81_r18,axiom,( k2_xcmplx_0(99,k4_xcmplx_0(81)) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r0_r9,axiom,( k2_xcmplx_0(9,0) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r101_r110,axiom,( k2_xcmplx_0(9,101) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r102_r111,axiom,( k2_xcmplx_0(9,102) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r108_r117,axiom,( k2_xcmplx_0(9,108) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r10_r19,axiom,( k2_xcmplx_0(9,10) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r111_r120,axiom,( k2_xcmplx_0(9,111) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r117_r126,axiom,( k2_xcmplx_0(9,117) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r118_r127,axiom,( k2_xcmplx_0(9,118) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r11_r20,axiom,( k2_xcmplx_0(9,11) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r123_r132,axiom,( k2_xcmplx_0(9,123) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r126_r135,axiom,( k2_xcmplx_0(9,126) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r12_r21,axiom,( k2_xcmplx_0(9,12) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r130_r139,axiom,( k2_xcmplx_0(9,130) = 139 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r135_r144,axiom,( k2_xcmplx_0(9,135) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r138_r147,axiom,( k2_xcmplx_0(9,138) = 147 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r13_r22,axiom,( k2_xcmplx_0(9,13) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r142_r151,axiom,( k2_xcmplx_0(9,142) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r147_r156,axiom,( k2_xcmplx_0(9,147) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r14_r23,axiom,( k2_xcmplx_0(9,14) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r150_r159,axiom,( k2_xcmplx_0(9,150) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r151_r160,axiom,( k2_xcmplx_0(9,151) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r154_r163,axiom,( k2_xcmplx_0(9,154) = 163 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r155_r164,axiom,( k2_xcmplx_0(9,155) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r158_r167,axiom,( k2_xcmplx_0(9,158) = 167 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r15_r24,axiom,( k2_xcmplx_0(9,15) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r16_r25,axiom,( k2_xcmplx_0(9,16) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r17_r26,axiom,( k2_xcmplx_0(9,17) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r184_r193,axiom,( k2_xcmplx_0(9,184) = 193 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r18_r27,axiom,( k2_xcmplx_0(9,18) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r190_r199,axiom,( k2_xcmplx_0(9,190) = 199 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r199_r208,axiom,( k2_xcmplx_0(9,199) = 208 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r19_r28,axiom,( k2_xcmplx_0(9,19) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r1_r10,axiom,( k2_xcmplx_0(9,1) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r200_r209,axiom,( k2_xcmplx_0(9,200) = 209 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r201_r210,axiom,( k2_xcmplx_0(9,201) = 210 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r20_r29,axiom,( k2_xcmplx_0(9,20) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r21_r30,axiom,( k2_xcmplx_0(9,21) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r225_r234,axiom,( k2_xcmplx_0(9,225) = 234 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r22_r31,axiom,( k2_xcmplx_0(9,22) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r241_r250,axiom,( k2_xcmplx_0(9,241) = 250 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r24_r33,axiom,( k2_xcmplx_0(9,24) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r254_r263,axiom,( k2_xcmplx_0(9,254) = 263 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r255_r264,axiom,( k2_xcmplx_0(9,255) = 264 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r25_r34,axiom,( k2_xcmplx_0(9,25) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r265_r274,axiom,( k2_xcmplx_0(9,265) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r26_r35,axiom,( k2_xcmplx_0(9,26) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r270_r279,axiom,( k2_xcmplx_0(9,270) = 279 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r276_r285,axiom,( k2_xcmplx_0(9,276) = 285 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r27_r36,axiom,( k2_xcmplx_0(9,27) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r282_r291,axiom,( k2_xcmplx_0(9,282) = 291 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r28_r37,axiom,( k2_xcmplx_0(9,28) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r29_r38,axiom,( k2_xcmplx_0(9,29) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r2_r11,axiom,( k2_xcmplx_0(9,2) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r306_r315,axiom,( k2_xcmplx_0(9,306) = 315 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r307_r316,axiom,( k2_xcmplx_0(9,307) = 316 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r308_r317,axiom,( k2_xcmplx_0(9,308) = 317 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r30_r39,axiom,( k2_xcmplx_0(9,30) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r31_r40,axiom,( k2_xcmplx_0(9,31) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r325_r334,axiom,( k2_xcmplx_0(9,325) = 334 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r327_r336,axiom,( k2_xcmplx_0(9,327) = 336 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r32_r41,axiom,( k2_xcmplx_0(9,32) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r33_r42,axiom,( k2_xcmplx_0(9,33) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r348_r357,axiom,( k2_xcmplx_0(9,348) = 357 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r34_r43,axiom,( k2_xcmplx_0(9,34) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r356_r365,axiom,( k2_xcmplx_0(9,356) = 365 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r36_r45,axiom,( k2_xcmplx_0(9,36) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r38_r47,axiom,( k2_xcmplx_0(9,38) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r3_r12,axiom,( k2_xcmplx_0(9,3) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r400_r409,axiom,( k2_xcmplx_0(9,400) = 409 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r410_r419,axiom,( k2_xcmplx_0(9,410) = 419 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r41_r50,axiom,( k2_xcmplx_0(9,41) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r422_r431,axiom,( k2_xcmplx_0(9,422) = 431 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r423_r432,axiom,( k2_xcmplx_0(9,423) = 432 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r44_r53,axiom,( k2_xcmplx_0(9,44) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r45_r54,axiom,( k2_xcmplx_0(9,45) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r47_r56,axiom,( k2_xcmplx_0(9,47) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r48_r57,axiom,( k2_xcmplx_0(9,48) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r49_r58,axiom,( k2_xcmplx_0(9,49) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r4_r13,axiom,( k2_xcmplx_0(9,4) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r513_r522,axiom,( k2_xcmplx_0(9,513) = 522 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r51_r60,axiom,( k2_xcmplx_0(9,51) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r52_r61,axiom,( k2_xcmplx_0(9,52) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r53_r62,axiom,( k2_xcmplx_0(9,53) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r54_r63,axiom,( k2_xcmplx_0(9,54) = 63 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r55_r64,axiom,( k2_xcmplx_0(9,55) = 64 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r56_r65,axiom,( k2_xcmplx_0(9,56) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r57_r66,axiom,( k2_xcmplx_0(9,57) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r589_r598,axiom,( k2_xcmplx_0(9,589) = 598 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r599_r608,axiom,( k2_xcmplx_0(9,599) = 608 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r5_r14,axiom,( k2_xcmplx_0(9,5) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r60_r69,axiom,( k2_xcmplx_0(9,60) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r63_r72,axiom,( k2_xcmplx_0(9,63) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r66_r75,axiom,( k2_xcmplx_0(9,66) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r671_r680,axiom,( k2_xcmplx_0(9,671) = 680 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r67_r76,axiom,( k2_xcmplx_0(9,67) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r680_r689,axiom,( k2_xcmplx_0(9,680) = 689 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r681_r690,axiom,( k2_xcmplx_0(9,681) = 690 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r68_r77,axiom,( k2_xcmplx_0(9,68) = 77 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r690_r699,axiom,( k2_xcmplx_0(9,690) = 699 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r6_r15,axiom,( k2_xcmplx_0(9,6) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r70_r79,axiom,( k2_xcmplx_0(9,70) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r71_r80,axiom,( k2_xcmplx_0(9,71) = 80 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r74_r83,axiom,( k2_xcmplx_0(9,74) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r75_r84,axiom,( k2_xcmplx_0(9,75) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r7_r16,axiom,( k2_xcmplx_0(9,7) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r81_r90,axiom,( k2_xcmplx_0(9,81) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r85_r94,axiom,( k2_xcmplx_0(9,85) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r88_r97,axiom,( k2_xcmplx_0(9,88) = 97 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r89_r98,axiom,( k2_xcmplx_0(9,89) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r8_r17,axiom,( k2_xcmplx_0(9,8) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r90_r99,axiom,( k2_xcmplx_0(9,90) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r92_r101,axiom,( k2_xcmplx_0(9,92) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r93_r102,axiom,( k2_xcmplx_0(9,93) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r96_r105,axiom,( k2_xcmplx_0(9,96) = 105 )).
fof(rqRealAdd__k2_xcmplx_0__r9_r9_r18,axiom,( k2_xcmplx_0(9,9) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm10_rm1,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(10)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm11_rm2,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(11)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm12_rm3,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(12)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm13_rm4,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(13)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm14_rm5,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(14)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm15_rm6,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(15)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm16_rm7,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(16)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm17_rm8,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(17)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm19_rm10,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(19)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm1_r8,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(1)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm20_rm11,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(20)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm225_rm216,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(225)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm23_rm14,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(23)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm24_rm15,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(24)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm27_rm18,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(27)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm281_rm272,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(281)) = k4_xcmplx_0(272) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm28_rm19,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(28)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm29_rm20,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(29)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm2_r7,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(2)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm32_rm23,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(32)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm39_rm30,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(39)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm3_r6,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(3)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm46_rm37,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(46)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm4_r5,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(4)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm5_r4,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(5)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm66_rm57,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(66)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm6_r3,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(6)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm7_r2,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(7)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm8_r1,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(8)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__r9_rm9_r0,axiom,( k2_xcmplx_0(9,k4_xcmplx_0(9)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm104_r20_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),20) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_r32_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),32) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_r36_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),36) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm100_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(100)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm126_rm230,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(126)) = k4_xcmplx_0(230) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm132_rm236,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(132)) = k4_xcmplx_0(236) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm142_rm246,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(142)) = k4_xcmplx_0(246) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm204_rm308,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(204)) = k4_xcmplx_0(308) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm28_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(28)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm60_rm164,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(60)) = k4_xcmplx_0(164) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm76_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(76)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm104_rm84_rm188,axiom,( k2_xcmplx_0(k4_xcmplx_0(104),k4_xcmplx_0(84)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__rm105_rm245_rm350,axiom,( k2_xcmplx_0(k4_xcmplx_0(105),k4_xcmplx_0(245)) = k4_xcmplx_0(350) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_r108_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),108) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm108_r14_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),14) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_r48_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),48) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_r72_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),72) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm126_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(126)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm132_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(132)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm140_rm248,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(140)) = k4_xcmplx_0(248) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm144_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(144)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm148_rm256,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(148)) = k4_xcmplx_0(256) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm180_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(180)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm182_rm290,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(182)) = k4_xcmplx_0(290) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm187_rm295,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(187)) = k4_xcmplx_0(295) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm194_rm302,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(194)) = k4_xcmplx_0(302) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm200_rm308,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(200)) = k4_xcmplx_0(308) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm240_rm348,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(240)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm241_rm349,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(241)) = k4_xcmplx_0(349) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm259_rm367,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(259)) = k4_xcmplx_0(367) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm263_rm371,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(263)) = k4_xcmplx_0(371) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm324_rm432,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(324)) = k4_xcmplx_0(432) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm32_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(32)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm332_rm440,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(332)) = k4_xcmplx_0(440) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm342_rm450,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(342)) = k4_xcmplx_0(450) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm349_rm457,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(349)) = k4_xcmplx_0(457) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm366_rm474,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(366)) = k4_xcmplx_0(474) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm445_rm553,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(445)) = k4_xcmplx_0(553) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm452_rm560,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(452)) = k4_xcmplx_0(560) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm493_rm601,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(493)) = k4_xcmplx_0(601) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm499_rm607,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(499)) = k4_xcmplx_0(607) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm51_rm159,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(51)) = k4_xcmplx_0(159) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm551_rm659,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(551)) = k4_xcmplx_0(659) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm560_rm668,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(560)) = k4_xcmplx_0(668) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm63_rm171,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(63)) = k4_xcmplx_0(171) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm69_rm177,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(69)) = k4_xcmplx_0(177) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm72_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(72)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm76_rm184,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(76)) = k4_xcmplx_0(184) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm80_rm188,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(80)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm81_rm189,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(81)) = k4_xcmplx_0(189) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm820_rm928,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(820)) = k4_xcmplx_0(928) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm82_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(82)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm86_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(86)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm108_rm92_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(92)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r10_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),10) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r11_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),11) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r12_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),12) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r130_r120,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),130) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r13_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),13) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r15_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),15) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r16_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),16) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r18_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),18) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r19_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),19) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r1_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),1) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r200_r190,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),200) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r208_r198,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),208) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r20_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),20) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r24_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),24) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r27_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),27) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r2_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),2) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r356_r346,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),356) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r3_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),3) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r4_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),4) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r5_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),5) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r6_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),6) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r8_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),8) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_r9_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),9) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm10_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(10)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm12_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(12)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm132_rm142,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(132)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm13_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(13)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm146_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(146)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm14_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(14)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm16_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(16)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm17_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(17)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm180_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(180)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm20_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(20)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm21_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(21)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm22_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(22)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm287_rm297,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(287)) = k4_xcmplx_0(297) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm28_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(28)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm2_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(2)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm306_rm316,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(306)) = k4_xcmplx_0(316) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm30_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(30)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm322_rm332,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(322)) = k4_xcmplx_0(332) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm328_rm338,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(328)) = k4_xcmplx_0(338) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm36_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(36)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm3_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(3)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm440_rm450,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(440)) = k4_xcmplx_0(450) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm472_rm482,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(472)) = k4_xcmplx_0(482) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm493_rm503,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(493)) = k4_xcmplx_0(503) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm4_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(4)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm59_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(59)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm5_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(5)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm63_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(63)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm65_rm75,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(65)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm6_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(6)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm70_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(70)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm782_rm792,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(782)) = k4_xcmplx_0(792) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm7_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(7)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm8_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(8)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm10_rm9_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(9)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm129_rm241,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(129)) = k4_xcmplx_0(241) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm151_rm263,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(151)) = k4_xcmplx_0(263) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm152_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(152)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm194_rm306,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(194)) = k4_xcmplx_0(306) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm276_rm388,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(276)) = k4_xcmplx_0(388) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm284_rm396,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(284)) = k4_xcmplx_0(396) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm287_rm399,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(287)) = k4_xcmplx_0(399) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm367_rm479,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(367)) = k4_xcmplx_0(479) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm482_rm594,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(482)) = k4_xcmplx_0(594) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm553_rm665,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(553)) = k4_xcmplx_0(665) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm568_rm680,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(568)) = k4_xcmplx_0(680) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm582_rm694,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(582)) = k4_xcmplx_0(694) )).
fof(rqRealAdd__k2_xcmplx_0__rm112_rm604_rm716,axiom,( k2_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(604)) = k4_xcmplx_0(716) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm180_rm294,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(180)) = k4_xcmplx_0(294) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm198_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(198)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm252_rm366,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(252)) = k4_xcmplx_0(366) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm288_rm402,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(288)) = k4_xcmplx_0(402) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm378_rm492,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(378)) = k4_xcmplx_0(492) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm42_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(42)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm528_rm642,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(528)) = k4_xcmplx_0(642) )).
fof(rqRealAdd__k2_xcmplx_0__rm114_rm66_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(66)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm116_r127_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(116),127) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm116_r18_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(116),18) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm116_r235_r119,axiom,( k2_xcmplx_0(k4_xcmplx_0(116),235) = 119 )).
fof(rqRealAdd__k2_xcmplx_0__rm116_rm12_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(116),k4_xcmplx_0(12)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm117_rm159_rm276,axiom,( k2_xcmplx_0(k4_xcmplx_0(117),k4_xcmplx_0(159)) = k4_xcmplx_0(276) )).
fof(rqRealAdd__k2_xcmplx_0__rm117_rm396_rm513,axiom,( k2_xcmplx_0(k4_xcmplx_0(117),k4_xcmplx_0(396)) = k4_xcmplx_0(513) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r10_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),10) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r11_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),11) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r12_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),12) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r13_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),13) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r14_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),14) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r16_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),16) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r17_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),17) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r18_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),18) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r20_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),20) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r24_r13,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),24) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r26_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),26) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r28_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),28) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r36_r25,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),36) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r3_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),3) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r42_r31,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),42) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r4_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),4) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r65_r54,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),65) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r6_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),6) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r72_r61,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),72) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r7_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),7) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r8_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),8) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_r9_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),9) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm105_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(105)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm12_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(12)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm15_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(15)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm19_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(19)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm2_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(2)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm30_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(30)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm42_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(42)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm56_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(56)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm5_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(5)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm60_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(60)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm7_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(7)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm120_r128_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(120),128) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm120_rm162_rm282,axiom,( k2_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(162)) = k4_xcmplx_0(282) )).
fof(rqRealAdd__k2_xcmplx_0__rm120_rm180_rm300,axiom,( k2_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(180)) = k4_xcmplx_0(300) )).
fof(rqRealAdd__k2_xcmplx_0__rm120_rm196_rm316,axiom,( k2_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(196)) = k4_xcmplx_0(316) )).
fof(rqRealAdd__k2_xcmplx_0__rm120_rm264_rm384,axiom,( k2_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(264)) = k4_xcmplx_0(384) )).
fof(rqRealAdd__k2_xcmplx_0__rm120_rm40_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(40)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_r108_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),108) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_r48_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),48) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm142_rm268,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(142)) = k4_xcmplx_0(268) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm156_rm282,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(156)) = k4_xcmplx_0(282) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm158_rm284,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(158)) = k4_xcmplx_0(284) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm188_rm314,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(188)) = k4_xcmplx_0(314) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm18_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(18)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm190_rm316,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(190)) = k4_xcmplx_0(316) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm194_rm320,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(194)) = k4_xcmplx_0(320) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm206_rm332,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(206)) = k4_xcmplx_0(332) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm216_rm342,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(216)) = k4_xcmplx_0(342) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm264_rm390,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(264)) = k4_xcmplx_0(390) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm328_rm454,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(328)) = k4_xcmplx_0(454) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm56_rm182,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(56)) = k4_xcmplx_0(182) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm582_rm708,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(582)) = k4_xcmplx_0(708) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm642_rm768,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(642)) = k4_xcmplx_0(768) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm88_rm214,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(88)) = k4_xcmplx_0(214) )).
fof(rqRealAdd__k2_xcmplx_0__rm126_rm92_rm218,axiom,( k2_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(92)) = k4_xcmplx_0(218) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm210_rm338,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(210)) = k4_xcmplx_0(338) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm226_rm354,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(226)) = k4_xcmplx_0(354) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm234_rm362,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(234)) = k4_xcmplx_0(362) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm370_rm498,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(370)) = k4_xcmplx_0(498) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm66_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(66)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm78_rm206,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(78)) = k4_xcmplx_0(206) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm82_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(82)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm128_rm90_rm218,axiom,( k2_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(90)) = k4_xcmplx_0(218) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r10_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),10) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r11_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),11) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r122_r110,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),122) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r12_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),12) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r135_r123,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),135) = 123 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r138_r126,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),138) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r13_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),13) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r144_r132,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),144) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r146_r134,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),146) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r147_r135,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),147) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r149_r137,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),149) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r14_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),14) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r152_r140,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),152) = 140 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r161_r149,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),161) = 149 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r163_r151,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),163) = 151 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r16_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),16) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r172_r160,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),172) = 160 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r18_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),18) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r1_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),1) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r23_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),23) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r24_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),24) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r28_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),28) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r2_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),2) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r30_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),30) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r32_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),32) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r38_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),38) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r39_r27,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),39) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r3_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),3) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r46_r34,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),46) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r48_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),48) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r4_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),4) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r52_r40,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),52) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r56_r44,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),56) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r5_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),5) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r62_r50,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),62) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r65_r53,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),65) = 53 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r6_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),6) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r7_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),7) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r81_r69,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),81) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r83_r71,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),83) = 71 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r85_r73,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),85) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r87_r75,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),87) = 75 )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r8_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),8) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_r9_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),9) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm100_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(100)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm102_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(102)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm106_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(106)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm108_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(108)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm10_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(10)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm110_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(110)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm111_rm123,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(111)) = k4_xcmplx_0(123) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm113_rm125,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(113)) = k4_xcmplx_0(125) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm114_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(114)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm116_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(116)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm117_rm129,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(117)) = k4_xcmplx_0(129) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm118_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(118)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm11_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(11)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm120_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(120)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm122_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(122)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm123_rm135,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(123)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm124_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(124)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm126_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(126)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm128_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(128)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm12_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(12)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm130_rm142,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(130)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm132_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(132)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm134_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(134)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm136_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(136)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm138_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(138)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm13_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(13)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm144_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(144)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm146_rm158,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(146)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm148_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(148)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm14_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(14)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm150_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(150)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm151_rm163,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(151)) = k4_xcmplx_0(163) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm155_rm167,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(155)) = k4_xcmplx_0(167) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm156_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(156)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm158_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(158)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm159_rm171,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(159)) = k4_xcmplx_0(171) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm15_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(15)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm160_rm172,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(160)) = k4_xcmplx_0(172) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm168_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(168)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm16_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(16)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm176_rm188,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(176)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm178_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(178)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm17_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(17)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm180_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(180)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm181_rm193,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(181)) = k4_xcmplx_0(193) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm186_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(186)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm187_rm199,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(187)) = k4_xcmplx_0(199) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm188_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(188)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm18_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(18)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm192_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(192)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm193_rm205,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(193)) = k4_xcmplx_0(205) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm198_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(198)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm199_rm211,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(199)) = k4_xcmplx_0(211) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm19_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(19)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm1_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(1)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm20_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(20)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm210_rm222,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(210)) = k4_xcmplx_0(222) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm213_rm225,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(213)) = k4_xcmplx_0(225) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm21_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(21)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm224_rm236,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(224)) = k4_xcmplx_0(236) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm226_rm238,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(226)) = k4_xcmplx_0(238) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm229_rm241,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(229)) = k4_xcmplx_0(241) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm22_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(22)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm235_rm247,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(235)) = k4_xcmplx_0(247) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm238_rm250,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(238)) = k4_xcmplx_0(250) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm23_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(23)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm240_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(240)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm242_rm254,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(242)) = k4_xcmplx_0(254) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm248_rm260,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(248)) = k4_xcmplx_0(260) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm24_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(24)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm257_rm269,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(257)) = k4_xcmplx_0(269) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm25_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(25)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm264_rm276,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(264)) = k4_xcmplx_0(276) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm26_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(26)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm270_rm282,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(270)) = k4_xcmplx_0(282) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm272_rm284,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(272)) = k4_xcmplx_0(284) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm27_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(27)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm284_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(284)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm288_rm300,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(288)) = k4_xcmplx_0(300) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm28_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(28)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm296_rm308,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(296)) = k4_xcmplx_0(308) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm29_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(29)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm2_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(2)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm300_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(300)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm303_rm315,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(303)) = k4_xcmplx_0(315) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm308_rm320,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(308)) = k4_xcmplx_0(320) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm30_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(30)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm318_rm330,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(318)) = k4_xcmplx_0(330) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm31_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(31)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm322_rm334,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(322)) = k4_xcmplx_0(334) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm323_rm335,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(323)) = k4_xcmplx_0(335) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm32_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(32)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm33_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(33)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm348_rm360,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(348)) = k4_xcmplx_0(360) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm34_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(34)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm358_rm370,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(358)) = k4_xcmplx_0(370) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm35_rm47,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(35)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm36_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(36)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm37_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(37)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm388_rm400,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(388)) = k4_xcmplx_0(400) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm38_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(38)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm392_rm404,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(392)) = k4_xcmplx_0(404) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm398_rm410,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(398)) = k4_xcmplx_0(410) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm39_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(39)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm3_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(3)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm40_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(40)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm41_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(41)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm42_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(42)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm43_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(43)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm440_rm452,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(440)) = k4_xcmplx_0(452) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm44_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(44)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm45_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(45)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm465_rm477,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(465)) = k4_xcmplx_0(477) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm477_rm489,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(477)) = k4_xcmplx_0(489) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm47_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(47)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm48_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(48)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm49_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(49)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm4_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(4)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm50_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(50)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm513_rm525,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(513)) = k4_xcmplx_0(525) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm516_rm528,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(516)) = k4_xcmplx_0(528) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm52_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(52)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm539_rm551,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(539)) = k4_xcmplx_0(551) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm53_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(53)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm54_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(54)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm55_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(55)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm564_rm576,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(564)) = k4_xcmplx_0(576) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm56_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(56)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm57_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(57)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm58_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(58)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm5_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(5)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm601_rm613,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(601)) = k4_xcmplx_0(613) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm60_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(60)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm618_rm630,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(618)) = k4_xcmplx_0(630) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm61_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(61)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm62_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(62)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm634_rm646,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(634)) = k4_xcmplx_0(646) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm64_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(64)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm659_rm671,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(659)) = k4_xcmplx_0(671) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm668_rm680,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(668)) = k4_xcmplx_0(680) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm66_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(66)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm68_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(68)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm69_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(69)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm6_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(6)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm708_rm720,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(708)) = k4_xcmplx_0(720) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm70_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(70)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm71_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(71)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm72_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(72)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm73_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(73)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm74_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(74)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm76_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(76)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm774_rm786,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(774)) = k4_xcmplx_0(786) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm77_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(77)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm78_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(78)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm7_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(7)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm80_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(80)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm816_rm828,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(816)) = k4_xcmplx_0(828) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm84_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(84)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm86_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(86)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm87_rm99,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(87)) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm88_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(88)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm8_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(8)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm90_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(90)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm93_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(93)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm960_rm972,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(960)) = k4_xcmplx_0(972) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm96_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(96)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm972_rm984,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(972)) = k4_xcmplx_0(984) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm99_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(99)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm9_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(9)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm130_rm66_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(130),k4_xcmplx_0(66)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm135_rm231_rm366,axiom,( k2_xcmplx_0(k4_xcmplx_0(135),k4_xcmplx_0(231)) = k4_xcmplx_0(366) )).
fof(rqRealAdd__k2_xcmplx_0__rm135_rm234_rm369,axiom,( k2_xcmplx_0(k4_xcmplx_0(135),k4_xcmplx_0(234)) = k4_xcmplx_0(369) )).
fof(rqRealAdd__k2_xcmplx_0__rm135_rm357_rm492,axiom,( k2_xcmplx_0(k4_xcmplx_0(135),k4_xcmplx_0(357)) = k4_xcmplx_0(492) )).
fof(rqRealAdd__k2_xcmplx_0__rm135_rm365_rm500,axiom,( k2_xcmplx_0(k4_xcmplx_0(135),k4_xcmplx_0(365)) = k4_xcmplx_0(500) )).
fof(rqRealAdd__k2_xcmplx_0__rm135_rm447_rm582,axiom,( k2_xcmplx_0(k4_xcmplx_0(135),k4_xcmplx_0(447)) = k4_xcmplx_0(582) )).
fof(rqRealAdd__k2_xcmplx_0__rm135_rm689_rm824,axiom,( k2_xcmplx_0(k4_xcmplx_0(135),k4_xcmplx_0(689)) = k4_xcmplx_0(824) )).
fof(rqRealAdd__k2_xcmplx_0__rm136_r186_r50,axiom,( k2_xcmplx_0(k4_xcmplx_0(136),186) = 50 )).
fof(rqRealAdd__k2_xcmplx_0__rm136_r24_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(136),24) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm138_rm24_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(138),k4_xcmplx_0(24)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm138_rm9_rm147,axiom,( k2_xcmplx_0(k4_xcmplx_0(138),k4_xcmplx_0(9)) = k4_xcmplx_0(147) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r10_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),10) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r12_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),12) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r13_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),13) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r14_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),14) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r15_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),15) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r16_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),16) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r17_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),17) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r233_r220,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),233) = 220 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r24_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),24) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r27_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),27) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r29_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),29) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r2_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),2) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r31_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),31) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r33_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),33) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r35_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),35) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r37_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),37) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r38_r25,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),38) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r39_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),39) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r3_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),3) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r4_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),4) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r51_r38,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),51) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r57_r44,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),57) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r6_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),6) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r8_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),8) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_r9_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),9) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm110_rm123,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(110)) = k4_xcmplx_0(123) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm133_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(133)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm139_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(139)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm13_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(13)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm14_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(14)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm15_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(15)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm163_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(163)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm176_rm189,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(176)) = k4_xcmplx_0(189) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm17_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(17)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm183_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(183)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm1_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(1)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm232_rm245,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(232)) = k4_xcmplx_0(245) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm23_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(23)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm26_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(26)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm29_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(29)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm2_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(2)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm30_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(30)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm36_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(36)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm42_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(42)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm48_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(48)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm54_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(54)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm59_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(59)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm60_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(60)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm61_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(61)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm62_rm75,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(62)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm64_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(64)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm67_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(67)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm78_rm91,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(78)) = k4_xcmplx_0(91) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm7_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(7)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm83_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(83)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm8_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(8)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm93_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(93)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm94_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(94)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm97_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(97)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm140_r664_r524,axiom,( k2_xcmplx_0(k4_xcmplx_0(140),664) = 524 )).
fof(rqRealAdd__k2_xcmplx_0__rm140_rm94_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(140),k4_xcmplx_0(94)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_r18_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),18) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_r45_rm99,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),45) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_r81_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),81) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm104_rm248,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(104)) = k4_xcmplx_0(248) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm108_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(108)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm114_rm258,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(114)) = k4_xcmplx_0(258) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm128_rm272,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(128)) = k4_xcmplx_0(272) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm12_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(12)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm136_rm280,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(136)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm140_rm284,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(140)) = k4_xcmplx_0(284) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm148_rm292,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(148)) = k4_xcmplx_0(292) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm156_rm300,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(156)) = k4_xcmplx_0(300) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm159_rm303,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(159)) = k4_xcmplx_0(303) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm168_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(168)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm176_rm320,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(176)) = k4_xcmplx_0(320) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm180_rm324,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(180)) = k4_xcmplx_0(324) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm18_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(18)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm198_rm342,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(198)) = k4_xcmplx_0(342) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm228_rm372,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(228)) = k4_xcmplx_0(372) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm240_rm384,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(240)) = k4_xcmplx_0(384) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm256_rm400,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(256)) = k4_xcmplx_0(400) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm302_rm446,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(302)) = k4_xcmplx_0(446) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm308_rm452,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(308)) = k4_xcmplx_0(452) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm318_rm462,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(318)) = k4_xcmplx_0(462) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm32_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(32)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm336_rm480,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(336)) = k4_xcmplx_0(480) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm36_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(36)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm390_rm534,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(390)) = k4_xcmplx_0(534) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm394_rm538,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(394)) = k4_xcmplx_0(538) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm456_rm600,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(456)) = k4_xcmplx_0(600) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm474_rm618,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(474)) = k4_xcmplx_0(618) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm48_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(48)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm514_rm658,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(514)) = k4_xcmplx_0(658) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm520_rm664,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(520)) = k4_xcmplx_0(664) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm544_rm688,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(544)) = k4_xcmplx_0(688) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm548_rm692,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(548)) = k4_xcmplx_0(692) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm576_rm720,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(576)) = k4_xcmplx_0(720) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm625_rm769,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(625)) = k4_xcmplx_0(769) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm720_rm864,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(720)) = k4_xcmplx_0(864) )).
fof(rqRealAdd__k2_xcmplx_0__rm144_rm72_rm216,axiom,( k2_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(72)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r11_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),11) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r12_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),12) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r132_r118,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),132) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r14_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),14) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r158_r144,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),158) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r15_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),15) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r16_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),16) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r17_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),17) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r19_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),19) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r1_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),1) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r22_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),22) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r245_r231,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),245) = 231 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r28_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),28) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r2_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),2) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r303_r289,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),303) = 289 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r30_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),30) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r3_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),3) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r44_r30,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),44) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r48_r34,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),48) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r4_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),4) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r7_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),7) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_r8_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),8) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm104_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(104)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm10_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(10)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm118_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(118)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm11_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(11)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm121_rm135,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(121)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm126_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(126)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm129_rm143,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(129)) = k4_xcmplx_0(143) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm12_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(12)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm133_rm147,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(133)) = k4_xcmplx_0(147) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm141_rm155,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(141)) = k4_xcmplx_0(155) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm14_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(14)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm156_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(156)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm178_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(178)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm18_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(18)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm19_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(19)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm213_rm227,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(213)) = k4_xcmplx_0(227) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm23_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(23)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm241_rm255,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(241)) = k4_xcmplx_0(255) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm24_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(24)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm26_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(26)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm28_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(28)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm2_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(2)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm30_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(30)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm32_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(32)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm36_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(36)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm37_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(37)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm38_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(38)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm39_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(39)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm3_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(3)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm418_rm432,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(418)) = k4_xcmplx_0(432) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm42_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(42)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm45_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(45)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm482_rm496,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(482)) = k4_xcmplx_0(496) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm4_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(4)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm525_rm539,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(525)) = k4_xcmplx_0(539) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm536_rm550,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(536)) = k4_xcmplx_0(550) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm53_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(53)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm54_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(54)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm57_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(57)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm684_rm698,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(684)) = k4_xcmplx_0(698) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm69_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(69)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm6_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(6)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm73_rm87,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(73)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm78_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(78)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm80_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(80)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm81_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(81)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm83_rm97,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(83)) = k4_xcmplx_0(97) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm86_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(86)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm87_rm101,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(87)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm8_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(8)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm90_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(90)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm92_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(92)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm152_r156_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(152),156) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm152_r166_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(152),166) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm152_r498_r346,axiom,( k2_xcmplx_0(k4_xcmplx_0(152),498) = 346 )).
fof(rqRealAdd__k2_xcmplx_0__rm152_r52_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(152),52) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm156_r129_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(156),129) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r12_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),12) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r15_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),15) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r16_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),16) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r19_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),19) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r2_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),2) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r31_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),31) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r32_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),32) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r34_r19,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),34) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r38_r23,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),38) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r4_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),4) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_r7_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),7) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm103_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(103)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm106_rm121,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(106)) = k4_xcmplx_0(121) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm112_rm127,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(112)) = k4_xcmplx_0(127) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm118_rm133,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(118)) = k4_xcmplx_0(133) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm119_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(119)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm122_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(122)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm125_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(125)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm12_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(12)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm130_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(130)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm131_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(131)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm135_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(135)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm13_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(13)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm143_rm158,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(143)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm14_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(14)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm15_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(15)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm166_rm181,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(166)) = k4_xcmplx_0(181) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm16_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(16)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm171_rm186,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(171)) = k4_xcmplx_0(186) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm17_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(17)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm183_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(183)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm18_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(18)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm196_rm211,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(196)) = k4_xcmplx_0(211) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm19_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(19)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm210_rm225,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(210)) = k4_xcmplx_0(225) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm21_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(21)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm245_rm260,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(245)) = k4_xcmplx_0(260) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm26_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(26)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm2_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(2)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm306_rm321,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(306)) = k4_xcmplx_0(321) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm30_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(30)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm319_rm334,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(319)) = k4_xcmplx_0(334) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm321_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(321)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm33_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(33)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm34_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(34)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm353_rm368,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(353)) = k4_xcmplx_0(368) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm35_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(35)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm37_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(37)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm383_rm398,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(383)) = k4_xcmplx_0(398) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm39_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(39)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm3_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(3)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm412_rm427,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(412)) = k4_xcmplx_0(427) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm45_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(45)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm4_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(4)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm52_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(52)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm558_rm573,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(558)) = k4_xcmplx_0(573) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm58_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(58)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm639_rm654,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(639)) = k4_xcmplx_0(654) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm65_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(65)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm67_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(67)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm79_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(79)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm7_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(7)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm84_rm99,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(84)) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm93_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(93)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm15_rm95_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(95)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_r81_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),81) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm114_rm276,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(114)) = k4_xcmplx_0(276) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm249_rm411,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(249)) = k4_xcmplx_0(411) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm260_rm422,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(260)) = k4_xcmplx_0(422) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm278_rm440,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(278)) = k4_xcmplx_0(440) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm342_rm504,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(342)) = k4_xcmplx_0(504) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm354_rm516,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(354)) = k4_xcmplx_0(516) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm440_rm602,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(440)) = k4_xcmplx_0(602) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm492_rm654,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(492)) = k4_xcmplx_0(654) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm500_rm662,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(500)) = k4_xcmplx_0(662) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm615_rm777,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(615)) = k4_xcmplx_0(777) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm824_rm986,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(824)) = k4_xcmplx_0(986) )).
fof(rqRealAdd__k2_xcmplx_0__rm162_rm98_rm260,axiom,( k2_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(98)) = k4_xcmplx_0(260) )).
fof(rqRealAdd__k2_xcmplx_0__rm168_r28_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(168),28) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm168_r48_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(168),48) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm169_r114_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(169),114) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm169_r116_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(169),116) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r10_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),10) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r110_r94,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),110) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r11_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),11) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r120_r104,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),120) = 104 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r122_r106,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),122) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r12_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),12) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r130_r114,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),130) = 114 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r139_r123,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),139) = 123 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r140_r124,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),140) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r14_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),14) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r168_r152,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),168) = 152 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r16_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),16) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r1_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),1) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r20_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),20) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r24_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),24) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r25_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),25) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r27_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),27) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r2_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),2) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r30_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),30) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r32_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),32) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r38_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),38) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r3_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),3) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r40_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),40) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r41_r25,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),41) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r42_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),42) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r48_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),48) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r4_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),4) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r60_r44,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),60) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r68_r52,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),68) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r6_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),6) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r82_r66,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),82) = 66 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r83_r67,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),83) = 67 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r88_r72,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),88) = 72 )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r8_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),8) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_r9_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),9) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm100_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(100)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm102_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(102)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm104_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(104)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm106_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(106)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm107_rm123,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(107)) = k4_xcmplx_0(123) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm108_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(108)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm10_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(10)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm110_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(110)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm114_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(114)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm11_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(11)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm120_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(120)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm121_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(121)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm123_rm139,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(123)) = k4_xcmplx_0(139) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm124_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(124)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm127_rm143,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(127)) = k4_xcmplx_0(143) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm128_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(128)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm12_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(12)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm132_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(132)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm134_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(134)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm137_rm153,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(137)) = k4_xcmplx_0(153) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm139_rm155,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(139)) = k4_xcmplx_0(155) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm13_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(13)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm147_rm163,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(147)) = k4_xcmplx_0(163) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm14_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(14)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm154_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(154)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm156_rm172,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(156)) = k4_xcmplx_0(172) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm15_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(15)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm160_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(160)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm164_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(164)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm166_rm182,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(166)) = k4_xcmplx_0(182) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm16_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(16)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm180_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(180)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm190_rm206,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(190)) = k4_xcmplx_0(206) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm194_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(194)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm196_rm212,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(196)) = k4_xcmplx_0(212) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm1_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(1)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm200_rm216,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(200)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm208_rm224,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(208)) = k4_xcmplx_0(224) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm20_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(20)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm210_rm226,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(210)) = k4_xcmplx_0(226) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm216_rm232,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(216)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm21_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(21)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm22_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(22)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm236_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(236)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm238_rm254,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(238)) = k4_xcmplx_0(254) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm23_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(23)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm248_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(248)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm24_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(24)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm254_rm270,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(254)) = k4_xcmplx_0(270) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm26_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(26)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm272_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(272)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm277_rm293,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(277)) = k4_xcmplx_0(293) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm27_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(27)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm286_rm302,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(286)) = k4_xcmplx_0(302) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm28_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(28)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm29_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(29)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm2_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(2)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm306_rm322,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(306)) = k4_xcmplx_0(322) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm308_rm324,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(308)) = k4_xcmplx_0(324) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm30_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(30)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm314_rm330,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(314)) = k4_xcmplx_0(330) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm316_rm332,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(316)) = k4_xcmplx_0(332) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm318_rm334,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(318)) = k4_xcmplx_0(334) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm31_rm47,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(31)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm320_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(320)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm32_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(32)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm33_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(33)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm346_rm362,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(346)) = k4_xcmplx_0(362) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm34_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(34)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm352_rm368,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(352)) = k4_xcmplx_0(368) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm358_rm374,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(358)) = k4_xcmplx_0(374) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm369_rm385,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(369)) = k4_xcmplx_0(385) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm36_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(36)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm384_rm400,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(384)) = k4_xcmplx_0(400) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm388_rm404,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(388)) = k4_xcmplx_0(404) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm38_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(38)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm390_rm406,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(390)) = k4_xcmplx_0(406) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm392_rm408,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(392)) = k4_xcmplx_0(408) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm3_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(3)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm402_rm418,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(402)) = k4_xcmplx_0(418) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm40_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(40)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm416_rm432,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(416)) = k4_xcmplx_0(432) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm41_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(41)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm430_rm446,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(430)) = k4_xcmplx_0(446) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm432_rm448,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(432)) = k4_xcmplx_0(448) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm44_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(44)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm451_rm467,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(451)) = k4_xcmplx_0(467) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm45_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(45)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm46_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(46)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm4_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(4)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm503_rm519,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(503)) = k4_xcmplx_0(519) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm50_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(50)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm52_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(52)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm53_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(53)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm54_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(54)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm58_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(58)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm5_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(5)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm606_rm622,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(606)) = k4_xcmplx_0(622) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm608_rm624,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(608)) = k4_xcmplx_0(624) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm62_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(62)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm64_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(64)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm65_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(65)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm66_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(66)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm67_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(67)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm68_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(68)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm6_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(6)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm70_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(70)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm72_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(72)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm775_rm791,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(775)) = k4_xcmplx_0(791) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm77_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(77)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm78_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(78)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm79_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(79)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm7_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(7)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm80_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(80)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm82_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(82)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm84_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(84)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm87_rm103,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(87)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm88_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(88)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm8_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(8)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm91_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(91)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm94_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(94)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm96_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(96)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm16_rm9_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(9)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm171_rm54_rm225,axiom,( k2_xcmplx_0(k4_xcmplx_0(171),k4_xcmplx_0(54)) = k4_xcmplx_0(225) )).
fof(rqRealAdd__k2_xcmplx_0__rm177_rm54_rm231,axiom,( k2_xcmplx_0(k4_xcmplx_0(177),k4_xcmplx_0(54)) = k4_xcmplx_0(231) )).
fof(rqRealAdd__k2_xcmplx_0__rm17_r11_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(17),11) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm17_r12_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(17),12) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm17_r17_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(17),17) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm17_r4_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(17),4) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm17_rm1_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(1)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm17_rm44_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(44)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm17_rm64_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(64)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm180_r138_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(180),138) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm180_r78_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(180),78) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm182_rm124_rm306,axiom,( k2_xcmplx_0(k4_xcmplx_0(182),k4_xcmplx_0(124)) = k4_xcmplx_0(306) )).
fof(rqRealAdd__k2_xcmplx_0__rm182_rm152_rm334,axiom,( k2_xcmplx_0(k4_xcmplx_0(182),k4_xcmplx_0(152)) = k4_xcmplx_0(334) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r102_r84,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),102) = 84 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r11_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),11) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r12_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),12) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r135_r117,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),135) = 117 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r13_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),13) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r153_r135,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),153) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r18_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),18) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r198_r180,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),198) = 180 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r22_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),22) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r27_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),27) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r3_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),3) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r48_r30,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),48) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r4_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),4) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r54_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),54) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r6_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),6) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r72_r54,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),72) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r88_r70,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),88) = 70 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r8_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),8) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r92_r74,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),92) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r94_r76,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),94) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__rm18_r9_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),9) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm100_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(100)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm108_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(108)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm10_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(10)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm110_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(110)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm112_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(112)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm114_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(114)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm116_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(116)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm11_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(11)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm120_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(120)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm122_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(122)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm126_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(126)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm127_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(127)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm12_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(12)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm132_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(132)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm135_rm153,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(135)) = k4_xcmplx_0(153) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm138_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(138)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm13_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(13)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm140_rm158,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(140)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm142_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(142)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm144_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(144)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm149_rm167,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(149)) = k4_xcmplx_0(167) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm14_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(14)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm152_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(152)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm153_rm171,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(153)) = k4_xcmplx_0(171) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm158_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(158)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm15_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(15)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm160_rm178,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(160)) = k4_xcmplx_0(178) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm162_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(162)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm165_rm183,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(165)) = k4_xcmplx_0(183) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm167_rm185,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(167)) = k4_xcmplx_0(185) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm168_rm186,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(168)) = k4_xcmplx_0(186) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm169_rm187,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(169)) = k4_xcmplx_0(187) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm16_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(16)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm171_rm189,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(171)) = k4_xcmplx_0(189) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm176_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(176)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm17_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(17)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm180_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(180)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm183_rm201,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(183)) = k4_xcmplx_0(201) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm184_rm202,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(184)) = k4_xcmplx_0(202) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm189_rm207,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(189)) = k4_xcmplx_0(207) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm18_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(18)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm192_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(192)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm198_rm216,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(198)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm199_rm217,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(199)) = k4_xcmplx_0(217) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm19_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(19)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm202_rm220,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(202)) = k4_xcmplx_0(220) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm205_rm223,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(205)) = k4_xcmplx_0(223) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm20_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(20)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm216_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(216)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm217_rm235,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(217)) = k4_xcmplx_0(235) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm21_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(21)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm221_rm239,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(221)) = k4_xcmplx_0(239) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm222_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(222)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm223_rm241,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(223)) = k4_xcmplx_0(241) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm225_rm243,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(225)) = k4_xcmplx_0(243) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm227_rm245,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(227)) = k4_xcmplx_0(245) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm228_rm246,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(228)) = k4_xcmplx_0(246) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm22_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(22)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm231_rm249,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(231)) = k4_xcmplx_0(249) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm234_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(234)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm23_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(23)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm240_rm258,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(240)) = k4_xcmplx_0(258) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm246_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(246)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm24_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(24)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm251_rm269,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(251)) = k4_xcmplx_0(269) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm252_rm270,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(252)) = k4_xcmplx_0(270) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm256_rm274,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(256)) = k4_xcmplx_0(274) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm25_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(25)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm260_rm278,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(260)) = k4_xcmplx_0(278) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm263_rm281,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(263)) = k4_xcmplx_0(281) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm264_rm282,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(264)) = k4_xcmplx_0(282) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm268_rm286,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(268)) = k4_xcmplx_0(286) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm26_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(26)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm270_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(270)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm272_rm290,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(272)) = k4_xcmplx_0(290) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm278_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(278)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm279_rm297,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(279)) = k4_xcmplx_0(297) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm27_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(27)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm282_rm300,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(282)) = k4_xcmplx_0(300) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm285_rm303,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(285)) = k4_xcmplx_0(303) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm28_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(28)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm292_rm310,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(292)) = k4_xcmplx_0(310) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm296_rm314,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(296)) = k4_xcmplx_0(314) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm297_rm315,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(297)) = k4_xcmplx_0(315) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm2_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(2)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm300_rm318,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(300)) = k4_xcmplx_0(318) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm309_rm327,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(309)) = k4_xcmplx_0(327) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm30_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(30)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm311_rm329,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(311)) = k4_xcmplx_0(329) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm317_rm335,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(317)) = k4_xcmplx_0(335) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm31_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(31)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm322_rm340,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(322)) = k4_xcmplx_0(340) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm32_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(32)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm330_rm348,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(330)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm336_rm354,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(336)) = k4_xcmplx_0(354) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm33_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(33)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm340_rm358,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(340)) = k4_xcmplx_0(358) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm348_rm366,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(348)) = k4_xcmplx_0(366) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm34_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(34)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm356_rm374,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(356)) = k4_xcmplx_0(374) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm357_rm375,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(357)) = k4_xcmplx_0(375) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm366_rm384,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(366)) = k4_xcmplx_0(384) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm36_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(36)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm378_rm396,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(378)) = k4_xcmplx_0(396) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm37_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(37)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm382_rm400,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(382)) = k4_xcmplx_0(400) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm38_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(38)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm396_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(396)) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm39_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(39)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm403_rm421,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(403)) = k4_xcmplx_0(421) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm40_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(40)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm414_rm432,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(414)) = k4_xcmplx_0(432) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm419_rm437,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(419)) = k4_xcmplx_0(437) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm422_rm440,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(422)) = k4_xcmplx_0(440) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm427_rm445,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(427)) = k4_xcmplx_0(445) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm42_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(42)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm432_rm450,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(432)) = k4_xcmplx_0(450) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm43_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(43)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm446_rm464,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(446)) = k4_xcmplx_0(464) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm452_rm470,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(452)) = k4_xcmplx_0(470) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm455_rm473,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(455)) = k4_xcmplx_0(473) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm456_rm474,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(456)) = k4_xcmplx_0(474) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm45_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(45)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm463_rm481,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(463)) = k4_xcmplx_0(481) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm46_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(46)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm477_rm495,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(477)) = k4_xcmplx_0(495) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm47_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(47)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm481_rm499,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(481)) = k4_xcmplx_0(499) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm48_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(48)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm4_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(4)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm50_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(50)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm51_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(51)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm52_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(52)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm53_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(53)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm54_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(54)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm55_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(55)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm56_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(56)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm59_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(59)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm5_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(5)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm602_rm620,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(602)) = k4_xcmplx_0(620) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm60_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(60)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm627_rm645,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(627)) = k4_xcmplx_0(645) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm62_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(62)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm63_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(63)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm646_rm664,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(646)) = k4_xcmplx_0(664) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm648_rm666,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(648)) = k4_xcmplx_0(666) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm652_rm670,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(652)) = k4_xcmplx_0(670) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm654_rm672,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(654)) = k4_xcmplx_0(672) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm65_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(65)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm662_rm680,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(662)) = k4_xcmplx_0(680) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm66_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(66)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm67_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(67)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm680_rm698,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(680)) = k4_xcmplx_0(698) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm68_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(68)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm6_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(6)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm71_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(71)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm72_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(72)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm73_rm91,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(73)) = k4_xcmplx_0(91) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm74_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(74)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm757_rm775,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(757)) = k4_xcmplx_0(775) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm768_rm786,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(768)) = k4_xcmplx_0(786) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm76_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(76)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm77_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(77)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm78_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(78)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm80_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(80)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm81_rm99,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(81)) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm82_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(82)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm836_rm854,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(836)) = k4_xcmplx_0(854) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm83_rm101,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(83)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm84_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(84)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm85_rm103,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(85)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm86_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(86)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm87_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(87)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm88_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(88)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm89_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(89)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm8_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(8)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm90_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(90)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm92_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(92)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm95_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(95)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm96_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(96)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm99_rm117,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(99)) = k4_xcmplx_0(117) )).
fof(rqRealAdd__k2_xcmplx_0__rm18_rm9_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(9)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm195_rm118_rm313,axiom,( k2_xcmplx_0(k4_xcmplx_0(195),k4_xcmplx_0(118)) = k4_xcmplx_0(313) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r12_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),12) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r18_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),18) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r2_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),2) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r37_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),37) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r54_r35,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),54) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r6_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),6) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r84_r65,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),84) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__rm19_r8_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),8) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_rm171_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(171)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_rm17_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(17)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_rm19_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(19)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_rm330_rm349,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(330)) = k4_xcmplx_0(349) )).
fof(rqRealAdd__k2_xcmplx_0__rm19_rm94_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(94)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),0) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r100_r99,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),100) = 99 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r10_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),10) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r112_r111,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),112) = 111 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r11_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),11) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r121_r120,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),121) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r128_r127,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),128) = 127 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r12_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),12) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r130_r129,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),130) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r136_r135,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),136) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r13_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),13) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r14_r13,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),14) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r15_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),15) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r160_r159,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),160) = 159 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r16_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),16) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r17_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),17) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r18_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),18) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r19_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),19) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),1) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r206_r205,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),206) = 205 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r20_r19,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),20) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r21_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),21) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r220_r219,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),220) = 219 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r23_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),23) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r250_r249,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),250) = 249 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r25_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),25) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r26_r25,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),26) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r27_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),27) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r28_r27,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),28) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r29_r28,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),29) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),2) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r30_r29,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),30) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r32_r31,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),32) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r33_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),33) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r349_r348,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),349) = 348 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r34_r33,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),34) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r36_r35,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),36) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r37_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),37) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r38_r37,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),38) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),3) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r40_r39,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),40) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r41_r40,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),41) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r420_r419,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),420) = 419 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r473_r472,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),473) = 472 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r48_r47,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),48) = 47 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r49_r48,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),49) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r4_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),4) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r5_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),5) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r60_r59,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),60) = 59 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r641_r640,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),641) = 640 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r6_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),6) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r70_r69,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),70) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r74_r73,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),74) = 73 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r791_r790,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),791) = 790 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r7_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),7) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r80_r79,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),80) = 79 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r8_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),8) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r90_r89,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),90) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_r9_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),9) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm101_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(101)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm103_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(103)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm10_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(10)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm112_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(112)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm116_rm117,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(116)) = k4_xcmplx_0(117) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm11_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(11)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm121_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(121)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm122_rm123,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(122)) = k4_xcmplx_0(123) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm126_rm127,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(126)) = k4_xcmplx_0(127) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm127_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(127)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm12_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(12)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm130_rm131,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(130)) = k4_xcmplx_0(131) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm135_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(135)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm13_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(13)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm14_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(14)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm153_rm154,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(153)) = k4_xcmplx_0(154) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm156_rm157,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(156)) = k4_xcmplx_0(157) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm15_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(15)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm16_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(16)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm170_rm171,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(170)) = k4_xcmplx_0(171) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm172_rm173,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(172)) = k4_xcmplx_0(173) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm17_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(17)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm18_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(18)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm193_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(193)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm194_rm195,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(194)) = k4_xcmplx_0(195) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm19_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(19)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm204_rm205,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(204)) = k4_xcmplx_0(205) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm209_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(209)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm20_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(20)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm212_rm213,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(212)) = k4_xcmplx_0(213) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm21_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(21)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm224_rm225,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(224)) = k4_xcmplx_0(225) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm22_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(22)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm23_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(23)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm24_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(24)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm25_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(25)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm269_rm270,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(269)) = k4_xcmplx_0(270) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm26_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(26)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm27_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(27)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm28_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(28)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm29_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(29)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm30_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(30)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm31_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(31)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm320_rm321,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(320)) = k4_xcmplx_0(321) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm33_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(33)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm34_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(34)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm352_rm353,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(352)) = k4_xcmplx_0(353) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm35_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(35)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm372_rm373,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(372)) = k4_xcmplx_0(373) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm377_rm378,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(377)) = k4_xcmplx_0(378) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm37_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(37)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm382_rm383,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(382)) = k4_xcmplx_0(383) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm38_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(38)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm39_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(39)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm43_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(43)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm450_rm451,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(450)) = k4_xcmplx_0(451) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm45_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(45)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm471_rm472,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(471)) = k4_xcmplx_0(472) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm474_rm475,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(474)) = k4_xcmplx_0(475) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm47_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(47)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm4_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(4)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm50_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(50)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm514_rm515,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(514)) = k4_xcmplx_0(515) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm519_rm520,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(519)) = k4_xcmplx_0(520) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm52_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(52)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm53_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(53)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm54_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(54)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm56_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(56)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm57_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(57)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm59_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(59)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm5_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(5)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm633_rm634,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(633)) = k4_xcmplx_0(634) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm637_rm638,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(637)) = k4_xcmplx_0(638) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm63_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(63)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm64_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(64)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm67_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(67)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm680_rm681,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(680)) = k4_xcmplx_0(681) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm699_rm700,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(699)) = k4_xcmplx_0(700) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm69_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(69)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm6_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(6)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm72_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(72)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm73_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(73)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm75_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(75)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm785_rm786,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(785)) = k4_xcmplx_0(786) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm78_rm79,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(78)) = k4_xcmplx_0(79) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm7_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(7)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm80_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(80)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm81_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(81)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm84_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(84)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm87_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(87)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm89_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(89)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm8_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(8)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm9_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(9)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d4_rnm3d4,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn4d5_rnm1d5,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(4,5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn7d6_rn1d6,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(7,6)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm5d6_rnm11d6,axiom,( k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(5),6)) = k7_xcmplx_0(k4_xcmplx_0(11),6) )).
fof(rqRealAdd__k2_xcmplx_0__rm208_rm104_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(208),k4_xcmplx_0(104)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm208_rm26_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(208),k4_xcmplx_0(26)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm208_rm72_rm280,axiom,( k2_xcmplx_0(k4_xcmplx_0(208),k4_xcmplx_0(72)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r12_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),12) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r13_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),13) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r156_r136,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),156) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r15_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),15) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r18_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),18) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r1_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),1) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r20_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),20) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r280_r260,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),280) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r286_r266,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),286) = 266 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r32_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),32) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r4_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),4) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r52_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),52) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r60_r40,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),60) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r6_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),6) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r78_r58,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),78) = 58 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_r848_r828,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),848) = 828 )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm100_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(100)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm120_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(120)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm128_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(128)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm12_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(12)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm136_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(136)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm15_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(15)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm163_rm183,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(163)) = k4_xcmplx_0(183) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm18_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(18)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm193_rm213,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(193)) = k4_xcmplx_0(213) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm20_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(20)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm21_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(21)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm239_rm259,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(239)) = k4_xcmplx_0(259) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm274_rm294,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(274)) = k4_xcmplx_0(294) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm283_rm303,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(283)) = k4_xcmplx_0(303) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm28_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(28)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm293_rm313,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(293)) = k4_xcmplx_0(313) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm329_rm349,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(329)) = k4_xcmplx_0(349) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm36_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(36)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm3_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(3)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm52_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(52)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm694_rm714,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(694)) = k4_xcmplx_0(714) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm698_rm718,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(698)) = k4_xcmplx_0(718) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm75_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(75)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm76_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(76)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm77_rm97,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(77)) = k4_xcmplx_0(97) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm7_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(7)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm20_rm8_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(8)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm152_rm368,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(152)) = k4_xcmplx_0(368) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm160_rm376,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(160)) = k4_xcmplx_0(376) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm180_rm396,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(180)) = k4_xcmplx_0(396) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm198_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(198)) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm272_rm488,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(272)) = k4_xcmplx_0(488) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm292_rm508,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(292)) = k4_xcmplx_0(508) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm298_rm514,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(298)) = k4_xcmplx_0(514) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm304_rm520,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(304)) = k4_xcmplx_0(520) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm344_rm560,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(344)) = k4_xcmplx_0(560) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm348_rm564,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(348)) = k4_xcmplx_0(564) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm352_rm568,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(352)) = k4_xcmplx_0(568) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm366_rm582,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(366)) = k4_xcmplx_0(582) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm48_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(48)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm720_rm936,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(720)) = k4_xcmplx_0(936) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm72_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(72)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm216_rm756_rm972,axiom,( k2_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(756)) = k4_xcmplx_0(972) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_r2_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),2) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_r3_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),3) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm106_rm127,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(106)) = k4_xcmplx_0(127) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm116_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(116)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm127_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(127)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm137_rm158,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(137)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm14_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(14)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm155_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(155)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm15_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(15)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm16_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(16)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm171_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(171)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm179_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(179)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm18_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(18)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm208_rm229,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(208)) = k4_xcmplx_0(229) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm20_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(20)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm21_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(21)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm231_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(231)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm238_rm259,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(238)) = k4_xcmplx_0(259) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm23_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(23)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm25_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(25)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm2_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(2)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm301_rm322,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(301)) = k4_xcmplx_0(322) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm313_rm334,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(313)) = k4_xcmplx_0(334) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm356_rm377,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(356)) = k4_xcmplx_0(377) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm35_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(35)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm36_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(36)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm371_rm392,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(371)) = k4_xcmplx_0(392) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm43_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(43)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm44_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(44)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm450_rm471,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(450)) = k4_xcmplx_0(471) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm45_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(45)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm47_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(47)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm4_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(4)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm60_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(60)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm61_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(61)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm67_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(67)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm6_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(6)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm84_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(84)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm85_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(85)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm21_rm8_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(8)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm224_rm312_rm536,axiom,( k2_xcmplx_0(k4_xcmplx_0(224),k4_xcmplx_0(312)) = k4_xcmplx_0(536) )).
fof(rqRealAdd__k2_xcmplx_0__rm224_rm344_rm568,axiom,( k2_xcmplx_0(k4_xcmplx_0(224),k4_xcmplx_0(344)) = k4_xcmplx_0(568) )).
fof(rqRealAdd__k2_xcmplx_0__rm224_rm498_rm722,axiom,( k2_xcmplx_0(k4_xcmplx_0(224),k4_xcmplx_0(498)) = k4_xcmplx_0(722) )).
fof(rqRealAdd__k2_xcmplx_0__rm225_r144_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(225),144) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r14_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),14) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r150_r128,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),150) = 128 )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r19_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),19) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r1_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),1) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r26_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),26) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r27_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),27) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r45_r23,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),45) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r4_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),4) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r6_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),6) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r84_r62,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),84) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__rm22_r9_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),9) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm140_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(140)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm220_rm242,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(220)) = k4_xcmplx_0(242) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm24_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(24)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm284_rm306,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(284)) = k4_xcmplx_0(306) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm30_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(30)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm357_rm379,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(357)) = k4_xcmplx_0(379) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm38_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(38)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm44_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(44)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm4_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(4)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm51_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(51)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm54_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(54)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm60_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(60)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm22_rm9_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(9)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_r14_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),14) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_r28_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),28) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm23_r365_r342,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),365) = 342 )).
fof(rqRealAdd__k2_xcmplx_0__rm23_r38_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),38) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm23_r4_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),4) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_r56_r33,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),56) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__rm23_r8_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),8) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_rm124_rm147,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(124)) = k4_xcmplx_0(147) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_rm126_rm149,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(126)) = k4_xcmplx_0(149) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_rm181_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(181)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_rm28_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(28)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_rm35_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(35)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm23_rm9_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(9)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r102_r78,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),102) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r112_r88,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),112) = 88 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r12_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),12) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r134_r110,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),134) = 110 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r14_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),14) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r150_r126,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),150) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r158_r134,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),158) = 134 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r16_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),16) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r20_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),20) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r22_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),22) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r24_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),24) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r28_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),28) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r2_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),2) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r330_r306,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),330) = 306 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r38_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),38) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r3_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),3) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r45_r21,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),45) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r48_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),48) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r4_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),4) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r52_r28,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),52) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r56_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),56) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r68_r44,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),68) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r6_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),6) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_r8_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),8) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm102_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(102)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm104_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(104)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm106_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(106)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm107_rm131,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(107)) = k4_xcmplx_0(131) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm108_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(108)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm10_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(10)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm110_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(110)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm111_rm135,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(111)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm112_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(112)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm114_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(114)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm118_rm142,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(118)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm11_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(11)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm120_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(120)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm127_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(127)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm128_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(128)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm12_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(12)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm130_rm154,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(130)) = k4_xcmplx_0(154) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm131_rm155,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(131)) = k4_xcmplx_0(155) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm132_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(132)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm138_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(138)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm13_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(13)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm140_rm164,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(140)) = k4_xcmplx_0(164) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm144_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(144)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm145_rm169,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(145)) = k4_xcmplx_0(169) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm148_rm172,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(148)) = k4_xcmplx_0(172) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm14_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(14)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm152_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(152)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm156_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(156)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm15_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(15)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm160_rm184,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(160)) = k4_xcmplx_0(184) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm164_rm188,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(164)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm166_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(166)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm168_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(168)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm16_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(16)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm171_rm195,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(171)) = k4_xcmplx_0(195) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm173_rm197,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(173)) = k4_xcmplx_0(197) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm174_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(174)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm17_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(17)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm180_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(180)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm181_rm205,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(181)) = k4_xcmplx_0(205) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm188_rm212,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(188)) = k4_xcmplx_0(212) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm18_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(18)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm198_rm222,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(198)) = k4_xcmplx_0(222) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm19_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(19)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm200_rm224,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(200)) = k4_xcmplx_0(224) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm208_rm232,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(208)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm20_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(20)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm212_rm236,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(212)) = k4_xcmplx_0(236) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm216_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(216)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm228_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(228)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm22_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(22)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm236_rm260,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(236)) = k4_xcmplx_0(260) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm240_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(240)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm24_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(24)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm250_rm274,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(250)) = k4_xcmplx_0(274) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm254_rm278,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(254)) = k4_xcmplx_0(278) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm256_rm280,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(256)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm257_rm281,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(257)) = k4_xcmplx_0(281) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm260_rm284,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(260)) = k4_xcmplx_0(284) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm26_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(26)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm27_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(27)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm280_rm304,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(280)) = k4_xcmplx_0(304) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm286_rm310,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(286)) = k4_xcmplx_0(310) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm28_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(28)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm294_rm318,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(294)) = k4_xcmplx_0(318) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm295_rm319,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(295)) = k4_xcmplx_0(319) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm296_rm320,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(296)) = k4_xcmplx_0(320) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm2_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(2)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm30_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(30)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm310_rm334,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(310)) = k4_xcmplx_0(334) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm312_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(312)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm31_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(31)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm320_rm344,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(320)) = k4_xcmplx_0(344) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm322_rm346,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(322)) = k4_xcmplx_0(346) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm32_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(32)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm349_rm373,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(349)) = k4_xcmplx_0(373) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm356_rm380,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(356)) = k4_xcmplx_0(380) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm35_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(35)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm368_rm392,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(368)) = k4_xcmplx_0(392) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm36_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(36)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm37_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(37)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm380_rm404,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(380)) = k4_xcmplx_0(404) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm388_rm412,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(388)) = k4_xcmplx_0(412) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm39_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(39)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm3_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(3)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm400_rm424,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(400)) = k4_xcmplx_0(424) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm408_rm432,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(408)) = k4_xcmplx_0(432) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm40_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(40)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm41_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(41)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm420_rm444,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(420)) = k4_xcmplx_0(444) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm427_rm451,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(427)) = k4_xcmplx_0(451) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm42_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(42)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm431_rm455,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(431)) = k4_xcmplx_0(455) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm44_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(44)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm45_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(45)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm488_rm512,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(488)) = k4_xcmplx_0(512) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm48_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(48)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm49_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(49)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm4_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(4)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm52_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(52)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm54_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(54)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm55_rm79,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(55)) = k4_xcmplx_0(79) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm56_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(56)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm575_rm599,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(575)) = k4_xcmplx_0(599) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm57_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(57)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm58_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(58)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm5_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(5)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm60_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(60)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm62_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(62)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm64_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(64)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm664_rm688,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(664)) = k4_xcmplx_0(688) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm67_rm91,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(67)) = k4_xcmplx_0(91) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm684_rm708,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(684)) = k4_xcmplx_0(708) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm68_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(68)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm6_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(6)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm72_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(72)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm74_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(74)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm78_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(78)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm7_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(7)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm80_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(80)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm84_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(84)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm88_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(88)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm89_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(89)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm8_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(8)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm90_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(90)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm91_rm115,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(91)) = k4_xcmplx_0(115) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm93_rm117,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(93)) = k4_xcmplx_0(117) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm95_rm119,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(95)) = k4_xcmplx_0(119) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm96_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(96)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm97_rm121,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(97)) = k4_xcmplx_0(121) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm98_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(98)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm24_rm9_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(9)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm252_rm177_rm429,axiom,( k2_xcmplx_0(k4_xcmplx_0(252),k4_xcmplx_0(177)) = k4_xcmplx_0(429) )).
fof(rqRealAdd__k2_xcmplx_0__rm252_rm210_rm462,axiom,( k2_xcmplx_0(k4_xcmplx_0(252),k4_xcmplx_0(210)) = k4_xcmplx_0(462) )).
fof(rqRealAdd__k2_xcmplx_0__rm252_rm312_rm564,axiom,( k2_xcmplx_0(k4_xcmplx_0(252),k4_xcmplx_0(312)) = k4_xcmplx_0(564) )).
fof(rqRealAdd__k2_xcmplx_0__rm256_r256_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(256),256) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm25_r24_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(25),24) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm25_r6_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(25),6) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r204_r178,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),204) = 178 )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r220_r194,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),220) = 194 )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r225_r199,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),225) = 199 )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r231_r205,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),231) = 205 )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r2_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),2) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r35_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),35) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r3_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),3) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_r6_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),6) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm10_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(10)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm113_rm139,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(113)) = k4_xcmplx_0(139) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm125_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(125)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm134_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(134)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm141_rm167,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(141)) = k4_xcmplx_0(167) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm14_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(14)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm168_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(168)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm169_rm195,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(169)) = k4_xcmplx_0(195) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm16_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(16)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm172_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(172)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm175_rm201,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(175)) = k4_xcmplx_0(201) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm189_rm215,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(189)) = k4_xcmplx_0(215) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm18_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(18)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm20_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(20)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm24_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(24)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm30_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(30)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm374_rm400,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(374)) = k4_xcmplx_0(400) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm39_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(39)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm44_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(44)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm46_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(46)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm479_rm505,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(479)) = k4_xcmplx_0(505) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm4_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(4)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm50_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(50)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm51_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(51)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm521_rm547,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(521)) = k4_xcmplx_0(547) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm52_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(52)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm54_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(54)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm58_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(58)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm607_rm633,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(607)) = k4_xcmplx_0(633) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm60_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(60)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm63_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(63)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm6_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(6)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm74_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(74)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm78_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(78)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm82_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(82)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm88_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(88)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm8_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(8)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm26_rm94_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(94)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm270_r48_rm222,axiom,( k2_xcmplx_0(k4_xcmplx_0(270),48) = k4_xcmplx_0(222) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_r11_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),11) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_r12_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),12) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_r16_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),16) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_r27_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),27) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm110_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(110)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm120_rm147,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(120)) = k4_xcmplx_0(147) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm123_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(123)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm125_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(125)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm12_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(12)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm181_rm208,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(181)) = k4_xcmplx_0(208) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm190_rm217,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(190)) = k4_xcmplx_0(217) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm204_rm231,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(204)) = k4_xcmplx_0(231) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm205_rm232,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(205)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm207_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(207)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm222_rm249,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(222)) = k4_xcmplx_0(249) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm258_rm285,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(258)) = k4_xcmplx_0(285) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm263_rm290,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(263)) = k4_xcmplx_0(290) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm279_rm306,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(279)) = k4_xcmplx_0(306) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm295_rm322,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(295)) = k4_xcmplx_0(322) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm30_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(30)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm363_rm390,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(363)) = k4_xcmplx_0(390) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm390_rm417,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(390)) = k4_xcmplx_0(417) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm3_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(3)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm410_rm437,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(410)) = k4_xcmplx_0(437) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm41_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(41)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm420_rm447,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(420)) = k4_xcmplx_0(447) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm429_rm456,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(429)) = k4_xcmplx_0(456) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm48_rm75,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(48)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm4_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(4)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm54_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(54)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm613_rm640,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(613)) = k4_xcmplx_0(640) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm62_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(62)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm66_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(66)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm69_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(69)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm78_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(78)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm83_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(83)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm86_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(86)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm8_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(8)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm95_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(95)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm27_rm9_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(9)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm280_r170_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(280),170) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm280_r498_r218,axiom,( k2_xcmplx_0(k4_xcmplx_0(280),498) = 218 )).
fof(rqRealAdd__k2_xcmplx_0__rm288_rm204_rm492,axiom,( k2_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(204)) = k4_xcmplx_0(492) )).
fof(rqRealAdd__k2_xcmplx_0__rm288_rm337_rm625,axiom,( k2_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(337)) = k4_xcmplx_0(625) )).
fof(rqRealAdd__k2_xcmplx_0__rm288_rm396_rm684,axiom,( k2_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(396)) = k4_xcmplx_0(684) )).
fof(rqRealAdd__k2_xcmplx_0__rm288_rm480_rm768,axiom,( k2_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(480)) = k4_xcmplx_0(768) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r12_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),12) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r16_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),16) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r18_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),18) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r20_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),20) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r24_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),24) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r26_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),26) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r27_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),27) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r300_r272,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),300) = 272 )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r4_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),4) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r56_r28,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),56) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r68_r40,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),68) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r72_r44,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),72) = 44 )).
fof(rqRealAdd__k2_xcmplx_0__rm28_r82_r54,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),82) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm10_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(10)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm113_rm141,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(113)) = k4_xcmplx_0(141) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm120_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(120)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm12_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(12)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm131_rm159,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(131)) = k4_xcmplx_0(159) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm14_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(14)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm156_rm184,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(156)) = k4_xcmplx_0(184) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm16_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(16)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm17_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(17)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm192_rm220,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(192)) = k4_xcmplx_0(220) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm206_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(206)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm234_rm262,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(234)) = k4_xcmplx_0(262) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm238_rm266,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(238)) = k4_xcmplx_0(266) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm23_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(23)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm266_rm294,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(266)) = k4_xcmplx_0(294) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm284_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(284)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm289_rm317,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(289)) = k4_xcmplx_0(317) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm28_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(28)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm29_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(29)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm322_rm350,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(322)) = k4_xcmplx_0(350) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm32_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(32)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm34_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(34)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm368_rm396,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(368)) = k4_xcmplx_0(396) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm41_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(41)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm44_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(44)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm48_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(48)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm4_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(4)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm513_rm541,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(513)) = k4_xcmplx_0(541) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm61_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(61)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm65_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(65)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm722_rm750,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(722)) = k4_xcmplx_0(750) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm72_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(72)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm754_rm782,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(754)) = k4_xcmplx_0(782) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm76_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(76)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm7_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(7)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm8_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(8)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm28_rm98_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(98)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_r12_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),12) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_r15_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),15) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_r16_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),16) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_r2_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),2) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_r4_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),4) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_r8_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),8) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm132_rm161,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(132)) = k4_xcmplx_0(161) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm134_rm163,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(134)) = k4_xcmplx_0(163) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm13_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(13)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm188_rm217,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(188)) = k4_xcmplx_0(217) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm191_rm220,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(191)) = k4_xcmplx_0(220) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm199_rm228,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(199)) = k4_xcmplx_0(228) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm38_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(38)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm62_rm91,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(62)) = k4_xcmplx_0(91) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm66_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(66)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm69_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(69)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm81_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(81)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm29_rm86_rm115,axiom,( k2_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(86)) = k4_xcmplx_0(115) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),0) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r10_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),10) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r110_r108,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),110) = 108 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r11_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),11) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r12_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),12) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r13_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),13) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r14_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),14) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r15_r13,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),15) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r16_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),16) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r178_r176,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),178) = 176 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r17_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),17) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r18_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),18) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r190_r188,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),190) = 188 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r192_r190,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),192) = 190 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r194_r192,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),194) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r198_r196,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),198) = 196 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r19_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),19) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r200_r198,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),200) = 198 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r20_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),20) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r22_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),22) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r23_r21,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),23) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r24_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),24) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r25_r23,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),25) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r26_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),26) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r27_r25,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),27) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r28_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),28) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r29_r27,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),29) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),2) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r30_r28,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),30) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r320_r318,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),320) = 318 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r33_r31,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),33) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r34_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),34) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r36_r34,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),36) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r370_r368,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),370) = 368 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r37_r35,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),37) = 35 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r38_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),38) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r39_r37,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),39) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),3) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r41_r39,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),41) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r48_r46,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),48) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r4_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),4) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r50_r48,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),50) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r54_r52,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),54) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r5_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),5) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r664_r662,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),664) = 662 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r6_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),6) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r76_r74,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),76) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r7_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),7) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r8_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),8) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r96_r94,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),96) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_r9_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),9) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm100_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(100)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm101_rm103,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(101)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm104_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(104)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm105_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(105)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm106_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(106)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm108_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(108)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm10_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(10)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm110_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(110)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm112_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(112)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm115_rm117,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(115)) = k4_xcmplx_0(117) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm118_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(118)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm119_rm121,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(119)) = k4_xcmplx_0(121) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm11_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(11)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm120_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(120)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm122_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(122)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm128_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(128)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm12_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(12)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm130_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(130)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm131_rm133,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(131)) = k4_xcmplx_0(133) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm132_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(132)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm135_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(135)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm136_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(136)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm138_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(138)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm13_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(13)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm144_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(144)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm149_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(149)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm14_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(14)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm154_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(154)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm155_rm157,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(155)) = k4_xcmplx_0(157) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm158_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(158)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm15_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(15)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm168_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(168)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm16_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(16)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm176_rm178,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(176)) = k4_xcmplx_0(178) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm178_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(178)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm179_rm181,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(179)) = k4_xcmplx_0(181) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm17_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(17)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm181_rm183,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(181)) = k4_xcmplx_0(183) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm18_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(18)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm196_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(196)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm198_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(198)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm199_rm201,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(199)) = k4_xcmplx_0(201) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm19_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(19)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm208_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(208)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm20_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(20)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm210_rm212,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(210)) = k4_xcmplx_0(212) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm211_rm213,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(211)) = k4_xcmplx_0(213) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm216_rm218,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(216)) = k4_xcmplx_0(218) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm21_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(21)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm22_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(22)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm232_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(232)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm23_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(23)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm24_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(24)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm250_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(250)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm252_rm254,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(252)) = k4_xcmplx_0(254) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm255_rm257,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(255)) = k4_xcmplx_0(257) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm259_rm261,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(259)) = k4_xcmplx_0(261) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm25_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(25)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm262_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(262)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm264_rm266,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(264)) = k4_xcmplx_0(266) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm26_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(26)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm276_rm278,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(276)) = k4_xcmplx_0(278) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm278_rm280,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(278)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm27_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(27)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm285_rm287,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(285)) = k4_xcmplx_0(287) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm28_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(28)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm294_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(294)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm29_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(29)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm30_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(30)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm310_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(310)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm31_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(31)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm320_rm322,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(320)) = k4_xcmplx_0(322) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm327_rm329,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(327)) = k4_xcmplx_0(329) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm32_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(32)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm333_rm335,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(333)) = k4_xcmplx_0(335) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm334_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(334)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm336_rm338,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(336)) = k4_xcmplx_0(338) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm33_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(33)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm348_rm350,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(348)) = k4_xcmplx_0(350) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm34_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(34)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm354_rm356,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(354)) = k4_xcmplx_0(356) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm356_rm358,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(356)) = k4_xcmplx_0(358) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm358_rm360,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(358)) = k4_xcmplx_0(360) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm35_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(35)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm36_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(36)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm377_rm379,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(377)) = k4_xcmplx_0(379) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm379_rm381,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(379)) = k4_xcmplx_0(381) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm380_rm382,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(380)) = k4_xcmplx_0(382) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm38_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(38)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm39_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(39)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm3_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(3)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm400_rm402,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(400)) = k4_xcmplx_0(402) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm404_rm406,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(404)) = k4_xcmplx_0(406) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm406_rm408,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(406)) = k4_xcmplx_0(408) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm40_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(40)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm414_rm416,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(414)) = k4_xcmplx_0(416) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm41_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(41)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm42_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(42)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm437_rm439,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(437)) = k4_xcmplx_0(439) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm43_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(43)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm442_rm444,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(442)) = k4_xcmplx_0(444) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm446_rm448,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(446)) = k4_xcmplx_0(448) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm44_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(44)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm45_rm47,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(45)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm46_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(46)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm47_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(47)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm48_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(48)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm4_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(4)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm508_rm510,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(508)) = k4_xcmplx_0(510) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm50_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(50)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm52_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(52)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm53_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(53)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm54_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(54)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm551_rm553,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(551)) = k4_xcmplx_0(553) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm56_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(56)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm58_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(58)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm594_rm596,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(594)) = k4_xcmplx_0(596) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm5_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(5)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm60_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(60)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm61_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(61)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm622_rm624,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(622)) = k4_xcmplx_0(624) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm62_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(62)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm63_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(63)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm64_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(64)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm65_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(65)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm666_rm668,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(666)) = k4_xcmplx_0(668) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm66_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(66)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm672_rm674,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(672)) = k4_xcmplx_0(674) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm68_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(68)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm698_rm700,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(698)) = k4_xcmplx_0(700) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm6_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(6)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm70_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(70)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm718_rm720,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(718)) = k4_xcmplx_0(720) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm72_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(72)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm74_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(74)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm75_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(75)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm76_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(76)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm78_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(78)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm7_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(7)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm800_rm802,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(800)) = k4_xcmplx_0(802) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm804_rm806,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(804)) = k4_xcmplx_0(806) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm80_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(80)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm81_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(81)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm82_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(82)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm85_rm87,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(85)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm86_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(86)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm87_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(87)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm8_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(8)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm90_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(90)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm98_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(98)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm9_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(9)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealAdd__k2_xcmplx_0__rm2_rnm1d2_rnm5d2,axiom,( k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_r148_r118,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),148) = 118 )).
fof(rqRealAdd__k2_xcmplx_0__rm30_r18_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),18) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_r225_r195,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),225) = 195 )).
fof(rqRealAdd__k2_xcmplx_0__rm30_r28_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),28) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_r2_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),2) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_r48_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),48) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm30_r54_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),54) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm101_rm131,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(101)) = k4_xcmplx_0(131) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm110_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(110)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm126_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(126)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm12_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(12)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm149_rm179,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(149)) = k4_xcmplx_0(179) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm151_rm181,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(151)) = k4_xcmplx_0(181) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm157_rm187,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(157)) = k4_xcmplx_0(187) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm160_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(160)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm180_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(180)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm184_rm214,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(184)) = k4_xcmplx_0(214) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm18_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(18)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm190_rm220,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(190)) = k4_xcmplx_0(220) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm195_rm225,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(195)) = k4_xcmplx_0(225) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm198_rm228,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(198)) = k4_xcmplx_0(228) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm19_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(19)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm20_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(20)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm211_rm241,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(211)) = k4_xcmplx_0(241) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm21_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(21)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm22_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(22)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm246_rm276,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(246)) = k4_xcmplx_0(276) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm252_rm282,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(252)) = k4_xcmplx_0(282) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm25_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(25)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm280_rm310,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(280)) = k4_xcmplx_0(310) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm28_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(28)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm2_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(2)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm30_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(30)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm31_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(31)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm39_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(39)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm4_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(4)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm51_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(51)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm55_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(55)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm56_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(56)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm58_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(58)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm61_rm91,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(61)) = k4_xcmplx_0(91) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm638_rm668,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(638)) = k4_xcmplx_0(668) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm65_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(65)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm67_rm97,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(67)) = k4_xcmplx_0(97) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm69_rm99,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(69)) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm6_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(6)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm78_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(78)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm80_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(80)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm84_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(84)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm30_rm9_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(9)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_r15_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),15) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_r2_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),2) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_rm15_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(15)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_rm196_rm227,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(196)) = k4_xcmplx_0(227) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_rm205_rm236,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(205)) = k4_xcmplx_0(236) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_rm38_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(38)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_rm71_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(71)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm31_rm83_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(83)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r12_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),12) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r1_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),1) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r21_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),21) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r27_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),27) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r2_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),2) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r32_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),32) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r3_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),3) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r44_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),44) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r4_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),4) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r50_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),50) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r54_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),54) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r66_r34,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),66) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__rm32_r8_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),8) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm106_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(106)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm108_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(108)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm10_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(10)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm112_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(112)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm128_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(128)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm12_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(12)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm13_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(13)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm148_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(148)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm14_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(14)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm162_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(162)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm16_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(16)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm196_rm228,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(196)) = k4_xcmplx_0(228) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm199_rm231,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(199)) = k4_xcmplx_0(231) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm201_rm233,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(201)) = k4_xcmplx_0(233) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm206_rm238,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(206)) = k4_xcmplx_0(238) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm20_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(20)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm218_rm250,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(218)) = k4_xcmplx_0(250) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm219_rm251,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(219)) = k4_xcmplx_0(251) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm22_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(22)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm234_rm266,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(234)) = k4_xcmplx_0(266) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm23_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(23)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm248_rm280,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(248)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm24_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(24)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm252_rm284,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(252)) = k4_xcmplx_0(284) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm266_rm298,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(266)) = k4_xcmplx_0(298) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm27_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(27)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm280_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(280)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm2_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(2)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm30_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(30)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm312_rm344,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(312)) = k4_xcmplx_0(344) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm324_rm356,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(324)) = k4_xcmplx_0(356) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm44_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(44)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm451_rm483,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(451)) = k4_xcmplx_0(483) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm45_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(45)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm46_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(46)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm489_rm521,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(489)) = k4_xcmplx_0(521) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm48_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(48)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm4_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(4)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm508_rm540,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(508)) = k4_xcmplx_0(540) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm512_rm544,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(512)) = k4_xcmplx_0(544) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm52_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(52)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm550_rm582,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(550)) = k4_xcmplx_0(582) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm56_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(56)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm58_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(58)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm65_rm97,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(65)) = k4_xcmplx_0(97) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm668_rm700,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(668)) = k4_xcmplx_0(700) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm688_rm720,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(688)) = k4_xcmplx_0(720) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm68_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(68)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm72_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(72)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm73_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(73)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm772_rm804,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(772)) = k4_xcmplx_0(804) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm78_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(78)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm87_rm119,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(87)) = k4_xcmplx_0(119) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm88_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(88)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm8_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(8)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm92_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(92)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm94_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(94)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm32_rm9_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(9)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm332_rm1_rm333,axiom,( k2_xcmplx_0(k4_xcmplx_0(332),k4_xcmplx_0(1)) = k4_xcmplx_0(333) )).
fof(rqRealAdd__k2_xcmplx_0__rm336_r429_r93,axiom,( k2_xcmplx_0(k4_xcmplx_0(336),429) = 93 )).
fof(rqRealAdd__k2_xcmplx_0__rm336_r738_r402,axiom,( k2_xcmplx_0(k4_xcmplx_0(336),738) = 402 )).
fof(rqRealAdd__k2_xcmplx_0__rm33_r7_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(33),7) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm33_rm100_rm133,axiom,( k2_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(100)) = k4_xcmplx_0(133) )).
fof(rqRealAdd__k2_xcmplx_0__rm33_rm15_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(15)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm342_rm240_rm582,axiom,( k2_xcmplx_0(k4_xcmplx_0(342),k4_xcmplx_0(240)) = k4_xcmplx_0(582) )).
fof(rqRealAdd__k2_xcmplx_0__rm342_rm414_rm756,axiom,( k2_xcmplx_0(k4_xcmplx_0(342),k4_xcmplx_0(414)) = k4_xcmplx_0(756) )).
fof(rqRealAdd__k2_xcmplx_0__rm342_rm504_rm846,axiom,( k2_xcmplx_0(k4_xcmplx_0(342),k4_xcmplx_0(504)) = k4_xcmplx_0(846) )).
fof(rqRealAdd__k2_xcmplx_0__rm342_rm534_rm876,axiom,( k2_xcmplx_0(k4_xcmplx_0(342),k4_xcmplx_0(534)) = k4_xcmplx_0(876) )).
fof(rqRealAdd__k2_xcmplx_0__rm348_r6_rm342,axiom,( k2_xcmplx_0(k4_xcmplx_0(348),6) = k4_xcmplx_0(342) )).
fof(rqRealAdd__k2_xcmplx_0__rm34_r124_r90,axiom,( k2_xcmplx_0(k4_xcmplx_0(34),124) = 90 )).
fof(rqRealAdd__k2_xcmplx_0__rm34_r16_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(34),16) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm35_r3_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(35),3) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm35_rm21_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(21)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm35_rm26_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(26)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm35_rm69_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(69)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm364_rm118_rm482,axiom,( k2_xcmplx_0(k4_xcmplx_0(364),k4_xcmplx_0(118)) = k4_xcmplx_0(482) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r10_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),10) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r12_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),12) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r138_r102,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),138) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r16_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),16) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r18_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),18) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r217_r181,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),217) = 181 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r227_r191,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),227) = 191 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r228_r192,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),228) = 192 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r236_r200,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),236) = 200 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r23_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),23) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r24_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),24) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r254_r218,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),254) = 218 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r25_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),25) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r27_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),27) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r30_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),30) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r36_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),36) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r38_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),38) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r39_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),39) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r42_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),42) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r47_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),47) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r48_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),48) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r67_r31,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),67) = 31 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r69_r33,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),69) = 33 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r72_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),72) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_r75_r39,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),75) = 39 )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm100_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(100)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm108_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(108)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm109_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(109)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm110_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(110)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm113_rm149,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(113)) = k4_xcmplx_0(149) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm115_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(115)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm118_rm154,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(118)) = k4_xcmplx_0(154) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm120_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(120)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm124_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(124)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm126_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(126)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm128_rm164,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(128)) = k4_xcmplx_0(164) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm12_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(12)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm132_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(132)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm140_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(140)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm143_rm179,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(143)) = k4_xcmplx_0(179) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm145_rm181,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(145)) = k4_xcmplx_0(181) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm156_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(156)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm159_rm195,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(159)) = k4_xcmplx_0(195) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm15_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(15)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm160_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(160)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm168_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(168)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm169_rm205,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(169)) = k4_xcmplx_0(205) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm16_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(16)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm171_rm207,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(171)) = k4_xcmplx_0(207) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm178_rm214,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(178)) = k4_xcmplx_0(214) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm17_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(17)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm189_rm225,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(189)) = k4_xcmplx_0(225) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm18_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(18)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm192_rm228,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(192)) = k4_xcmplx_0(228) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm193_rm229,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(193)) = k4_xcmplx_0(229) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm196_rm232,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(196)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm19_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(19)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm204_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(204)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm206_rm242,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(206)) = k4_xcmplx_0(242) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm210_rm246,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(210)) = k4_xcmplx_0(246) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm215_rm251,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(215)) = k4_xcmplx_0(251) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm216_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(216)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm223_rm259,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(223)) = k4_xcmplx_0(259) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm228_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(228)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm229_rm265,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(229)) = k4_xcmplx_0(265) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm22_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(22)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm234_rm270,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(234)) = k4_xcmplx_0(270) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm236_rm272,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(236)) = k4_xcmplx_0(272) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm23_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(23)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm24_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(24)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm252_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(252)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm259_rm295,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(259)) = k4_xcmplx_0(295) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm25_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(25)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm260_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(260)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm271_rm307,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(271)) = k4_xcmplx_0(307) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm273_rm309,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(273)) = k4_xcmplx_0(309) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm27_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(27)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm282_rm318,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(282)) = k4_xcmplx_0(318) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm285_rm321,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(285)) = k4_xcmplx_0(321) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm287_rm323,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(287)) = k4_xcmplx_0(323) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm288_rm324,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(288)) = k4_xcmplx_0(324) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm289_rm325,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(289)) = k4_xcmplx_0(325) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm28_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(28)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm310_rm346,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(310)) = k4_xcmplx_0(346) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm316_rm352,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(316)) = k4_xcmplx_0(352) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm321_rm357,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(321)) = k4_xcmplx_0(357) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm32_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(32)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm330_rm366,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(330)) = k4_xcmplx_0(366) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm336_rm372,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(336)) = k4_xcmplx_0(372) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm342_rm378,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(342)) = k4_xcmplx_0(378) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm344_rm380,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(344)) = k4_xcmplx_0(380) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm34_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(34)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm35_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(35)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm36_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(36)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm374_rm410,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(374)) = k4_xcmplx_0(410) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm378_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(378)) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm37_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(37)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm38_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(38)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm3_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(3)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm40_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(40)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm42_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(42)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm44_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(44)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm457_rm493,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(457)) = k4_xcmplx_0(493) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm45_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(45)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm467_rm503,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(467)) = k4_xcmplx_0(503) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm474_rm510,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(474)) = k4_xcmplx_0(510) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm477_rm513,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(477)) = k4_xcmplx_0(513) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm47_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(47)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm48_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(48)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm4_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(4)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm52_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(52)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm54_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(54)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm553_rm589,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(553)) = k4_xcmplx_0(589) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm56_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(56)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm57_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(57)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm58_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(58)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm5_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(5)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm600_rm636,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(600)) = k4_xcmplx_0(636) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm607_rm643,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(607)) = k4_xcmplx_0(643) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm60_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(60)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm618_rm654,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(618)) = k4_xcmplx_0(654) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm61_rm97,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(61)) = k4_xcmplx_0(97) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm624_rm660,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(624)) = k4_xcmplx_0(660) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm62_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(62)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm64_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(64)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm660_rm696,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(660)) = k4_xcmplx_0(696) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm68_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(68)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm6_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(6)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm70_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(70)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm71_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(71)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm72_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(72)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm73_rm109,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(73)) = k4_xcmplx_0(109) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm74_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(74)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm75_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(75)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm82_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(82)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm84_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(84)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm85_rm121,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(85)) = k4_xcmplx_0(121) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm88_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(88)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm90_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(90)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm94_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(94)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm96_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(96)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm99_rm135,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(99)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__rm36_rm9_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(9)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_r2_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),2) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_r3_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),3) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm108_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(108)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm110_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(110)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm162_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(162)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm190_rm228,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(190)) = k4_xcmplx_0(228) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm236_rm274,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(236)) = k4_xcmplx_0(274) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm290_rm328,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(290)) = k4_xcmplx_0(328) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm64_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(64)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm70_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(70)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm38_rm8_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(8)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_r19_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),19) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_r1_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),1) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_r39_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),39) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm39_r9_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),9) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_rm12_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(12)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_rm15_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(15)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_rm18_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(18)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_rm20_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(20)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_rm40_rm79,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(40)) = k4_xcmplx_0(79) )).
fof(rqRealAdd__k2_xcmplx_0__rm39_rm57_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(57)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r10_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),10) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r11_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),11) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r12_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),12) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r13_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),13) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r140_r137,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),140) = 137 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r14_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),14) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r15_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),15) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r16_r13,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),16) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r17_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),17) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r18_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),18) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r19_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),19) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),1) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r20_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),20) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r21_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),21) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r22_r19,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),22) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r239_r236,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),239) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r23_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),23) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r242_r239,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),242) = 239 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r25_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),25) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r26_r23,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),26) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r28_r25,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),28) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),2) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r30_r27,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),30) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r31_r28,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),31) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r32_r29,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),32) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r37_r34,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),37) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),3) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r424_r421,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),424) = 421 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r44_r41,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),44) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r4_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),4) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r52_r49,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),52) = 49 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r547_r544,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),547) = 544 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r5_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),5) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r60_r57,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),60) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r68_r65,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),68) = 65 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r6_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),6) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r7_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),7) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r8_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),8) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r90_r87,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),90) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_r9_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),9) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm105_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(105)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm107_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(107)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm108_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(108)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm10_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(10)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm11_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(11)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm121_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(121)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm123_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(123)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm126_rm129,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(126)) = k4_xcmplx_0(129) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm12_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(12)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm130_rm133,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(130)) = k4_xcmplx_0(133) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm131_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(131)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm133_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(133)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm134_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(134)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm137_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(137)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm13_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(13)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm142_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(142)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm14_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(14)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm155_rm158,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(155)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm15_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(15)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm163_rm166,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(163)) = k4_xcmplx_0(166) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm167_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(167)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm168_rm171,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(168)) = k4_xcmplx_0(171) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm16_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(16)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm170_rm173,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(170)) = k4_xcmplx_0(173) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm177_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(177)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm17_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(17)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm180_rm183,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(180)) = k4_xcmplx_0(183) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm184_rm187,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(184)) = k4_xcmplx_0(187) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm18_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(18)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm192_rm195,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(192)) = k4_xcmplx_0(195) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm196_rm199,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(196)) = k4_xcmplx_0(199) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm19_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(19)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm201_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(201)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm204_rm207,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(204)) = k4_xcmplx_0(207) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm207_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(207)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm20_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(20)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm212_rm215,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(212)) = k4_xcmplx_0(215) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm213_rm216,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(213)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm21_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(21)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm225_rm228,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(225)) = k4_xcmplx_0(228) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm229_rm232,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(229)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm22_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(22)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm231_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(231)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm235_rm238,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(235)) = k4_xcmplx_0(238) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm240_rm243,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(240)) = k4_xcmplx_0(243) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm247_rm250,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(247)) = k4_xcmplx_0(250) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm24_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(24)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm25_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(25)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm26_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(26)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm27_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(27)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm28_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(28)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm290_rm293,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(290)) = k4_xcmplx_0(293) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm293_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(293)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm29_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(29)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm2_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(2)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm301_rm304,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(301)) = k4_xcmplx_0(304) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm308_rm311,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(308)) = k4_xcmplx_0(311) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm30_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(30)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm318_rm321,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(318)) = k4_xcmplx_0(321) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm31_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(31)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm326_rm329,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(326)) = k4_xcmplx_0(329) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm33_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(33)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm34_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(34)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm354_rm357,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(354)) = k4_xcmplx_0(357) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm35_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(35)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm360_rm363,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(360)) = k4_xcmplx_0(363) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm36_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(36)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm375_rm378,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(375)) = k4_xcmplx_0(378) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm379_rm382,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(379)) = k4_xcmplx_0(382) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm38_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(38)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm39_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(39)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm3_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm400_rm403,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(400)) = k4_xcmplx_0(403) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm40_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(40)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm417_rm420,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(417)) = k4_xcmplx_0(420) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm41_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(41)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm424_rm427,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(424)) = k4_xcmplx_0(427) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm42_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(42)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm43_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(43)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm44_rm47,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(44)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm45_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(45)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm46_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(46)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm490_rm493,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(490)) = k4_xcmplx_0(493) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm4_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(4)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm50_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(50)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm510_rm513,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(510)) = k4_xcmplx_0(513) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm51_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(51)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm522_rm525,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(522)) = k4_xcmplx_0(525) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm52_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(52)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm53_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(53)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm546_rm549,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(546)) = k4_xcmplx_0(549) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm56_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(56)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm57_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(57)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm59_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(59)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm5_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(5)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm60_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(60)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm62_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(62)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm636_rm639,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(636)) = k4_xcmplx_0(639) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm643_rm646,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(643)) = k4_xcmplx_0(646) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm64_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(64)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm65_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(65)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm672_rm675,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(672)) = k4_xcmplx_0(675) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm67_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(67)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm68_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(68)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm69_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(69)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm6_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(6)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm70_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(70)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm72_rm75,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(72)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm73_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(73)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm769_rm772,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(769)) = k4_xcmplx_0(772) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm77_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(77)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm7_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(7)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm80_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(80)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm81_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(81)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm82_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(82)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm83_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(83)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm84_rm87,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(84)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm85_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(85)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm87_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(87)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm89_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(89)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm8_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(8)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm96_rm99,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(96)) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm976_rm979,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(976)) = k4_xcmplx_0(979) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm97_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(97)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm9_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(9)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealAdd__k2_xcmplx_0__rm3_rnm1d2_rnm7d2,axiom,( k2_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r18_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),18) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r210_r170,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),210) = 170 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r212_r172,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),212) = 172 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r300_r260,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),300) = 260 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r534_r494,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),534) = 494 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r54_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),54) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r60_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),60) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r636_r596,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),636) = 596 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r66_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),66) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_r70_r30,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),70) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm173_rm213,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(173)) = k4_xcmplx_0(213) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm23_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(23)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm316_rm356,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(316)) = k4_xcmplx_0(356) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm36_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(36)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm37_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(37)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm42_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(42)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm4_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(4)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm64_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(64)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm40_rm73_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(73)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm420_r6_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(420),6) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_r18_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),18) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_r22_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),22) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_r28_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),28) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_r30_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),30) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_r48_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),48) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm102_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(102)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm107_rm149,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(107)) = k4_xcmplx_0(149) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm120_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(120)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm127_rm169,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(127)) = k4_xcmplx_0(169) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm138_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(138)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm145_rm187,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(145)) = k4_xcmplx_0(187) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm146_rm188,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(146)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm156_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(156)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm160_rm202,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(160)) = k4_xcmplx_0(202) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm174_rm216,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(174)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm18_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(18)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm194_rm236,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(194)) = k4_xcmplx_0(236) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm19_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(19)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm20_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(20)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm22_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(22)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm232_rm274,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(232)) = k4_xcmplx_0(274) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm274_rm316,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(274)) = k4_xcmplx_0(316) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm27_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(27)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm28_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(28)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm29_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(29)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm335_rm377,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(335)) = k4_xcmplx_0(377) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm41_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(41)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm47_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(47)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm492_rm534,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(492)) = k4_xcmplx_0(534) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm510_rm552,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(510)) = k4_xcmplx_0(552) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm52_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(52)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm54_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(54)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm59_rm101,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(59)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm60_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(60)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm64_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(64)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm6_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(6)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm756_rm798,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(756)) = k4_xcmplx_0(798) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm77_rm119,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(77)) = k4_xcmplx_0(119) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm78_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(78)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm80_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(80)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm83_rm125,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(83)) = k4_xcmplx_0(125) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm84_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(84)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm89_rm131,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(89)) = k4_xcmplx_0(131) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm90_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(90)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm96_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(96)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm42_rm97_rm139,axiom,( k2_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(97)) = k4_xcmplx_0(139) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_r20_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),20) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_r28_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),28) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_r36_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),36) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_r48_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),48) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm44_r56_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),56) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm44_r78_r34,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),78) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__rm44_rm20_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(20)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_rm42_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(42)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_rm44_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(44)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_rm57_rm101,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(57)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_rm76_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(76)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm44_rm8_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(8)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm124_rm169,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(124)) = k4_xcmplx_0(169) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm12_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(12)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm133_rm178,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(133)) = k4_xcmplx_0(178) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm135_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(135)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm144_rm189,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(144)) = k4_xcmplx_0(189) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm147_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(147)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm15_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(15)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm163_rm208,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(163)) = k4_xcmplx_0(208) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm17_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(17)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm207_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(207)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm21_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(21)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm243_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(243)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm297_rm342,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(297)) = k4_xcmplx_0(342) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm309_rm354,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(309)) = k4_xcmplx_0(354) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm329_rm374,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(329)) = k4_xcmplx_0(374) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm32_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(32)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm357_rm402,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(357)) = k4_xcmplx_0(402) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm35_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(35)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm37_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(37)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm432_rm477,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(432)) = k4_xcmplx_0(477) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm547_rm592,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(547)) = k4_xcmplx_0(592) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm570_rm615,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(570)) = k4_xcmplx_0(615) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm60_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(60)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm63_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(63)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm675_rm720,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(675)) = k4_xcmplx_0(720) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm68_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(68)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm75_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(75)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm80_rm125,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(80)) = k4_xcmplx_0(125) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm81_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(81)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm87_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(87)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm94_rm139,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(94)) = k4_xcmplx_0(139) )).
fof(rqRealAdd__k2_xcmplx_0__rm45_rm99_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(99)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm464_r195_rm269,axiom,( k2_xcmplx_0(k4_xcmplx_0(464),195) = k4_xcmplx_0(269) )).
fof(rqRealAdd__k2_xcmplx_0__rm464_r357_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(464),357) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm46_r848_r802,axiom,( k2_xcmplx_0(k4_xcmplx_0(46),848) = 802 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r105_r57,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),105) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r126_r78,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),126) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r14_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),14) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r16_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),16) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r184_r136,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),184) = 136 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r20_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),20) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r28_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),28) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r30_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),30) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r40_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),40) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r42_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),42) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r52_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),52) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r54_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),54) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r56_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),56) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_r60_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),60) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm104_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(104)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm106_rm154,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(106)) = k4_xcmplx_0(154) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm108_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(108)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm10_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(10)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm112_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(112)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm120_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(120)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm126_rm174,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(126)) = k4_xcmplx_0(174) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm128_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(128)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm12_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(12)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm138_rm186,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(138)) = k4_xcmplx_0(186) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm142_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(142)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm144_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(144)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm14_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(14)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm15_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(15)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm162_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(162)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm176_rm224,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(176)) = k4_xcmplx_0(224) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm17_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(17)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm183_rm231,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(183)) = k4_xcmplx_0(231) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm187_rm235,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(187)) = k4_xcmplx_0(235) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm18_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(18)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm192_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(192)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm19_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(19)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm204_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(204)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm207_rm255,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(207)) = k4_xcmplx_0(255) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm209_rm257,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(209)) = k4_xcmplx_0(257) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm20_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(20)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm210_rm258,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(210)) = k4_xcmplx_0(258) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm218_rm266,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(218)) = k4_xcmplx_0(266) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm23_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(23)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm24_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(24)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm254_rm302,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(254)) = k4_xcmplx_0(302) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm264_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(264)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm272_rm320,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(272)) = k4_xcmplx_0(320) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm284_rm332,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(284)) = k4_xcmplx_0(332) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm288_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(288)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm289_rm337,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(289)) = k4_xcmplx_0(337) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm29_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(29)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm2_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(2)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm30_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(30)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm320_rm368,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(320)) = k4_xcmplx_0(368) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm32_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(32)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm33_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(33)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm344_rm392,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(344)) = k4_xcmplx_0(392) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm34_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(34)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm366_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(366)) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm36_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(36)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm374_rm422,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(374)) = k4_xcmplx_0(422) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm37_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(37)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm384_rm432,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(384)) = k4_xcmplx_0(432) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm392_rm440,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(392)) = k4_xcmplx_0(440) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm39_rm87,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(39)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm3_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(3)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm456_rm504,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(456)) = k4_xcmplx_0(504) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm46_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(46)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm48_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(48)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm4_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(4)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm50_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(50)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm52_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(52)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm53_rm101,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(53)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm55_rm103,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(55)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm560_rm608,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(560)) = k4_xcmplx_0(608) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm568_rm616,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(568)) = k4_xcmplx_0(616) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm56_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(56)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm60_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(60)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm616_rm664,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(616)) = k4_xcmplx_0(664) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm664_rm712,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(664)) = k4_xcmplx_0(712) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm68_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(68)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm6_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(6)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm708_rm756,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(708)) = k4_xcmplx_0(756) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm70_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(70)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm72_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(72)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm731_rm779,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(731)) = k4_xcmplx_0(779) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm74_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(74)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm768_rm816,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(768)) = k4_xcmplx_0(816) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm772_rm820,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(772)) = k4_xcmplx_0(820) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm78_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(78)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm798_rm846,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(798)) = k4_xcmplx_0(846) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm80_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(80)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm82_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(82)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm84_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(84)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm85_rm133,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(85)) = k4_xcmplx_0(133) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm88_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(88)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm8_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(8)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm91_rm139,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(91)) = k4_xcmplx_0(139) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm928_rm976,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(928)) = k4_xcmplx_0(976) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm936_rm984,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(936)) = k4_xcmplx_0(984) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm96_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(96)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm48_rm98_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(98)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm498_rm3_rm501,axiom,( k2_xcmplx_0(k4_xcmplx_0(498),k4_xcmplx_0(3)) = k4_xcmplx_0(501) )).
fof(rqRealAdd__k2_xcmplx_0__rm49_rm51_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(49),k4_xcmplx_0(51)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r105_r101,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),105) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r10_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),10) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r110_r106,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),110) = 106 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r111_r107,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),111) = 107 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r11_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),11) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r12_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),12) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r133_r129,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),133) = 129 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r13_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),13) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r146_r142,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),146) = 142 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r148_r144,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),148) = 144 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r14_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),14) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r15_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),15) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r162_r158,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),162) = 158 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r16_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),16) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r17_r13,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),17) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r18_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),18) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r195_r191,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),195) = 191 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),1) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r20_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),20) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r21_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),21) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r22_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),22) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r240_r236,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),240) = 236 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r24_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),24) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r252_r248,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),252) = 248 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r25_r21,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),25) = 21 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r26_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),26) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r27_r23,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),27) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r28_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),28) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r29_r25,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),29) = 25 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),2) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r30_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),30) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r31_r27,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),31) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r32_r28,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),32) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r33_r29,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),33) = 29 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r34_r30,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),34) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r36_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),36) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),3) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r40_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),40) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r42_r38,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),42) = 38 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r45_r41,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),45) = 41 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r49_r45,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),49) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),4) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r52_r48,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),52) = 48 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r55_r51,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),55) = 51 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r56_r52,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),56) = 52 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r59_r55,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),59) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r5_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),5) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r60_r56,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),60) = 56 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r64_r60,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),64) = 60 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r6_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),6) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r78_r74,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),78) = 74 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r7_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),7) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r80_r76,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),80) = 76 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r8_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),8) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r90_r86,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),90) = 86 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r96_r92,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),96) = 92 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_r9_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),9) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm100_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(100)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm102_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(102)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm103_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(103)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm104_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(104)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm106_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(106)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm10_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(10)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm112_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(112)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm113_rm117,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(113)) = k4_xcmplx_0(117) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm116_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(116)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm11_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(11)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm120_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(120)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm124_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(124)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm126_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(126)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm12_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(12)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm130_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(130)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm132_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(132)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm134_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(134)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm136_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(136)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm137_rm141,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(137)) = k4_xcmplx_0(141) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm13_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(13)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm140_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(140)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm141_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(141)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm14_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(14)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm151_rm155,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(151)) = k4_xcmplx_0(155) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm153_rm157,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(153)) = k4_xcmplx_0(157) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm156_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(156)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm15_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(15)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm160_rm164,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(160)) = k4_xcmplx_0(164) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm162_rm166,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(162)) = k4_xcmplx_0(166) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm167_rm171,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(167)) = k4_xcmplx_0(171) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm16_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(16)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm170_rm174,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(170)) = k4_xcmplx_0(174) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm171_rm175,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(171)) = k4_xcmplx_0(175) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm172_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(172)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm17_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(17)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm181_rm185,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(181)) = k4_xcmplx_0(185) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm186_rm190,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(186)) = k4_xcmplx_0(190) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm188_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(188)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm189_rm193,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(189)) = k4_xcmplx_0(193) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm18_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(18)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm192_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(192)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm193_rm197,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(193)) = k4_xcmplx_0(197) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm194_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(194)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm196_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(196)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm19_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(19)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(1)) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm205_rm209,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(205)) = k4_xcmplx_0(209) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm206_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(206)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm208_rm212,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(208)) = k4_xcmplx_0(212) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm20_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(20)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm210_rm214,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(210)) = k4_xcmplx_0(214) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm212_rm216,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(212)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm218_rm222,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(218)) = k4_xcmplx_0(222) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm21_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(21)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm228_rm232,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(228)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm22_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(22)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm232_rm236,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(232)) = k4_xcmplx_0(236) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm236_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(236)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm23_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(23)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm24_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(24)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm256_rm260,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(256)) = k4_xcmplx_0(260) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm258_rm262,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(258)) = k4_xcmplx_0(262) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm259_rm263,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(259)) = k4_xcmplx_0(263) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm25_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(25)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm260_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(260)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm268_rm272,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(268)) = k4_xcmplx_0(272) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm26_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(26)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm27_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(27)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm282_rm286,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(282)) = k4_xcmplx_0(286) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm28_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(28)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm29_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(29)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm2_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(2)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm302_rm306,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(302)) = k4_xcmplx_0(306) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm30_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(30)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm314_rm318,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(314)) = k4_xcmplx_0(318) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm31_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(31)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm329_rm333,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(329)) = k4_xcmplx_0(333) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm32_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(32)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm332_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(332)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm334_rm338,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(334)) = k4_xcmplx_0(338) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm33_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(33)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm346_rm350,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(346)) = k4_xcmplx_0(350) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm34_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(34)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm352_rm356,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(352)) = k4_xcmplx_0(356) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm35_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(35)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm362_rm366,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(362)) = k4_xcmplx_0(366) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm366_rm370,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(366)) = k4_xcmplx_0(370) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm36_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(36)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm378_rm382,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(378)) = k4_xcmplx_0(382) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm37_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(37)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm38_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(38)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm396_rm400,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(396)) = k4_xcmplx_0(400) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm3_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(3)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm404_rm408,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(404)) = k4_xcmplx_0(408) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm40_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(40)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm422_rm426,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(422)) = k4_xcmplx_0(426) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm42_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(42)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm432_rm436,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(432)) = k4_xcmplx_0(436) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm43_rm47,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(43)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm44_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(44)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm45_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(45)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm46_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(46)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm47_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(47)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm48_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(48)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm49_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(49)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm4_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(4)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm50_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(50)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm510_rm514,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(510)) = k4_xcmplx_0(514) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm515_rm519,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(515)) = k4_xcmplx_0(519) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm51_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(51)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm52_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(52)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm54_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(54)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm55_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(55)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm58_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(58)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm59_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(59)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm5_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(5)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm60_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(60)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm61_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(61)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm620_rm624,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(620)) = k4_xcmplx_0(624) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm624_rm628,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(624)) = k4_xcmplx_0(628) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm62_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(62)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm63_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(63)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm65_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(65)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm668_rm672,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(668)) = k4_xcmplx_0(672) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm66_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(66)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm680_rm684,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(680)) = k4_xcmplx_0(684) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm68_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(68)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm696_rm700,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(696)) = k4_xcmplx_0(700) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm6_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(6)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm70_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(70)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm714_rm718,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(714)) = k4_xcmplx_0(718) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm71_rm75,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(71)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm72_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(72)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm750_rm754,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(750)) = k4_xcmplx_0(754) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm76_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(76)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm786_rm790,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(786)) = k4_xcmplx_0(790) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm78_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(78)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm790_rm794,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(790)) = k4_xcmplx_0(794) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm796_rm800,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(796)) = k4_xcmplx_0(800) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm7_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(7)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm802_rm806,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(802)) = k4_xcmplx_0(806) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm80_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(80)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm81_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(81)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm83_rm87,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(83)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm84_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(84)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm85_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(85)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm86_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(86)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm88_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(88)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm89_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(89)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm8_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(8)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm91_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(91)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm92_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(92)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm94_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(94)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm96_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(96)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm98_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(98)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm9_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(9)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm52_r27_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(52),27) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm52_rm142_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(142)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm52_rm14_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(14)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm52_rm46_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(46)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm52_rm48_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(48)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm52_rm6_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(6)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm52_rm86_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(86)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_r16_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),16) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm101_rm155,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(101)) = k4_xcmplx_0(155) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm102_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(102)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm105_rm159,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(105)) = k4_xcmplx_0(159) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm108_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(108)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm10_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(10)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm111_rm165,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(111)) = k4_xcmplx_0(165) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm118_rm172,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(118)) = k4_xcmplx_0(172) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm126_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(126)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm132_rm186,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(132)) = k4_xcmplx_0(186) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm134_rm188,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(134)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm140_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(140)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm142_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(142)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm144_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(144)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm145_rm199,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(145)) = k4_xcmplx_0(199) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm150_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(150)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm180_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(180)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm184_rm238,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(184)) = k4_xcmplx_0(238) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm185_rm239,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(185)) = k4_xcmplx_0(239) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm186_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(186)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm18_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(18)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm192_rm246,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(192)) = k4_xcmplx_0(246) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm195_rm249,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(195)) = k4_xcmplx_0(249) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm200_rm254,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(200)) = k4_xcmplx_0(254) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm205_rm259,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(205)) = k4_xcmplx_0(259) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm209_rm263,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(209)) = k4_xcmplx_0(263) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm214_rm268,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(214)) = k4_xcmplx_0(268) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm225_rm279,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(225)) = k4_xcmplx_0(279) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm232_rm286,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(232)) = k4_xcmplx_0(286) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm235_rm289,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(235)) = k4_xcmplx_0(289) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm240_rm294,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(240)) = k4_xcmplx_0(294) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm243_rm297,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(243)) = k4_xcmplx_0(297) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm24_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(24)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm250_rm304,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(250)) = k4_xcmplx_0(304) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm252_rm306,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(252)) = k4_xcmplx_0(306) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm263_rm317,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(263)) = k4_xcmplx_0(317) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm266_rm320,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(266)) = k4_xcmplx_0(320) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm274_rm328,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(274)) = k4_xcmplx_0(328) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm276_rm330,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(276)) = k4_xcmplx_0(330) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm27_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(27)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm288_rm342,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(288)) = k4_xcmplx_0(342) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm28_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(28)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm290_rm344,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(290)) = k4_xcmplx_0(344) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm292_rm346,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(292)) = k4_xcmplx_0(346) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm294_rm348,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(294)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm2_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(2)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm306_rm360,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(306)) = k4_xcmplx_0(360) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm32_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(32)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm334_rm388,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(334)) = k4_xcmplx_0(388) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm33_rm87,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(33)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm360_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(360)) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm366_rm420,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(366)) = k4_xcmplx_0(420) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm369_rm423,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(369)) = k4_xcmplx_0(423) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm409_rm463,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(409)) = k4_xcmplx_0(463) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm40_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(40)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm411_rm465,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(411)) = k4_xcmplx_0(465) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm437_rm491,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(437)) = k4_xcmplx_0(491) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm439_rm493,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(439)) = k4_xcmplx_0(493) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm454_rm508,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(454)) = k4_xcmplx_0(508) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm462_rm516,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(462)) = k4_xcmplx_0(516) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm486_rm540,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(486)) = k4_xcmplx_0(540) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm497_rm551,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(497)) = k4_xcmplx_0(551) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm504_rm558,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(504)) = k4_xcmplx_0(558) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm516_rm570,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(516)) = k4_xcmplx_0(570) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm52_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(52)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm552_rm606,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(552)) = k4_xcmplx_0(606) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm564_rm618,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(564)) = k4_xcmplx_0(618) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm573_rm627,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(573)) = k4_xcmplx_0(627) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm582_rm636,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(582)) = k4_xcmplx_0(636) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm58_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(58)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm598_rm652,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(598)) = k4_xcmplx_0(652) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm60_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(60)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm640_rm694,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(640)) = k4_xcmplx_0(694) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm66_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(66)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm6_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(6)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm70_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(70)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm720_rm774,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(720)) = k4_xcmplx_0(774) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm72_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(72)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm777_rm831,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(777)) = k4_xcmplx_0(831) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm78_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(78)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm80_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(80)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm82_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(82)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm84_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(84)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm86_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(86)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm88_rm142,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(88)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm91_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(91)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm96_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(96)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm97_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(97)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm54_rm99_rm153,axiom,( k2_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(99)) = k4_xcmplx_0(153) )).
fof(rqRealAdd__k2_xcmplx_0__rm55_rm82_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(55),k4_xcmplx_0(82)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_r118_r62,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),118) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__rm56_r330_r274,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),330) = 274 )).
fof(rqRealAdd__k2_xcmplx_0__rm56_r40_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),40) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm104_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(104)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm106_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(106)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm127_rm183,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(127)) = k4_xcmplx_0(183) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm12_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(12)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm138_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(138)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm140_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(140)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm202_rm258,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(202)) = k4_xcmplx_0(258) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm22_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(22)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm24_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(24)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm29_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(29)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm354_rm410,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(354)) = k4_xcmplx_0(410) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm35_rm91,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(35)) = k4_xcmplx_0(91) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm362_rm418,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(362)) = k4_xcmplx_0(418) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm37_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(37)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm39_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(39)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm458_rm514,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(458)) = k4_xcmplx_0(514) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm45_rm101,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(45)) = k4_xcmplx_0(101) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm49_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(49)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm50_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(50)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm56_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(56)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm592_rm648,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(592)) = k4_xcmplx_0(648) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm5_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(5)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm60_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(60)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm8_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(8)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm90_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(90)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm95_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(95)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm56_rm98_rm154,axiom,( k2_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(98)) = k4_xcmplx_0(154) )).
fof(rqRealAdd__k2_xcmplx_0__rm57_r2_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(57),2) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm57_r8_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(57),8) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm57_rm102_rm159,axiom,( k2_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(102)) = k4_xcmplx_0(159) )).
fof(rqRealAdd__k2_xcmplx_0__rm57_rm106_rm163,axiom,( k2_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(106)) = k4_xcmplx_0(163) )).
fof(rqRealAdd__k2_xcmplx_0__rm57_rm57_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(57)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm59_r8_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(59),8) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm59_rm102_rm161,axiom,( k2_xcmplx_0(k4_xcmplx_0(59),k4_xcmplx_0(102)) = k4_xcmplx_0(161) )).
fof(rqRealAdd__k2_xcmplx_0__rm59_rm106_rm165,axiom,( k2_xcmplx_0(k4_xcmplx_0(59),k4_xcmplx_0(106)) = k4_xcmplx_0(165) )).
fof(rqRealAdd__k2_xcmplx_0__rm59_rm57_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(59),k4_xcmplx_0(57)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r10_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),10) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r11_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),11) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r12_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),12) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r13_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),13) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r14_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),14) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r15_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),15) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r18_r13,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),18) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r1_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),1) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r20_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),20) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r22_r17,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),22) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r27_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),27) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r2_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),2) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r3_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),3) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r4_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),4) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r5_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),5) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r6_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),6) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r7_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),7) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r8_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),8) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_r9_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),9) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm107_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(107)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm10_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(10)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm111_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(111)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm120_rm125,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(120)) = k4_xcmplx_0(125) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm12_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(12)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm130_rm135,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(130)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm135_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(135)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm13_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(13)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm14_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(14)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm15_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(15)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm160_rm165,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(160)) = k4_xcmplx_0(165) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm16_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(16)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm17_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(17)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm18_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(18)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm195_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(195)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm1_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(1)) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm22_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(22)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm24_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(24)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm26_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(26)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm280_rm285,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(280)) = k4_xcmplx_0(285) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm296_rm301,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(296)) = k4_xcmplx_0(301) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm2_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(2)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm31_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(31)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm35_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(35)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm373_rm378,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(373)) = k4_xcmplx_0(378) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm3_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(3)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm43_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(43)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm4_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(4)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm505_rm510,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(505)) = k4_xcmplx_0(510) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm520_rm525,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(520)) = k4_xcmplx_0(525) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm59_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(59)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm5_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(5)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm6_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(6)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm71_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(71)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm7_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(7)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm831_rm836,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(831)) = k4_xcmplx_0(836) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm87_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(87)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm8_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(8)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm9_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(9)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_r46_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),46) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_r56_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),56) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm117_rm177,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(117)) = k4_xcmplx_0(177) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm157_rm217,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(157)) = k4_xcmplx_0(217) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm185_rm245,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(185)) = k4_xcmplx_0(245) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm20_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(20)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm234_rm294,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(234)) = k4_xcmplx_0(294) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm241_rm301,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(241)) = k4_xcmplx_0(301) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm291_rm351,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(291)) = k4_xcmplx_0(351) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm304_rm364,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(304)) = k4_xcmplx_0(364) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm40_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(40)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm42_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(42)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm493_rm553,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(493)) = k4_xcmplx_0(553) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm50_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(50)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm90_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(90)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm91_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(91)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm60_rm95_rm155,axiom,( k2_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(95)) = k4_xcmplx_0(155) )).
fof(rqRealAdd__k2_xcmplx_0__rm62_rm12_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(62),k4_xcmplx_0(12)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm110_rm173,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(110)) = k4_xcmplx_0(173) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm118_rm181,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(118)) = k4_xcmplx_0(181) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm306_rm369,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(306)) = k4_xcmplx_0(369) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm315_rm378,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(315)) = k4_xcmplx_0(378) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm321_rm384,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(321)) = k4_xcmplx_0(384) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm351_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(351)) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm39_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(39)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm63_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(63)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm668_rm731,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(668)) = k4_xcmplx_0(731) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm77_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(77)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm82_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(82)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm63_rm94_rm157,axiom,( k2_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(94)) = k4_xcmplx_0(157) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm104_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(104)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm108_rm172,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(108)) = k4_xcmplx_0(172) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm114_rm178,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(114)) = k4_xcmplx_0(178) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm116_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(116)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm132_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(132)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm140_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(140)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm200_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(200)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm246_rm310,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(246)) = k4_xcmplx_0(310) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm24_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(24)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm254_rm318,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(254)) = k4_xcmplx_0(318) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm30_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(30)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm313_rm377,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(313)) = k4_xcmplx_0(377) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm316_rm380,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(316)) = k4_xcmplx_0(380) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm324_rm388,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(324)) = k4_xcmplx_0(388) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm32_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(32)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm33_rm97,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(33)) = k4_xcmplx_0(97) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm36_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(36)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm382_rm446,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(382)) = k4_xcmplx_0(446) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm42_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(42)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm446_rm510,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(446)) = k4_xcmplx_0(510) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm44_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(44)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm46_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(46)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm72_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(72)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm64_rm96_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(96)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm65_rm222_rm287,axiom,( k2_xcmplx_0(k4_xcmplx_0(65),k4_xcmplx_0(222)) = k4_xcmplx_0(287) )).
fof(rqRealAdd__k2_xcmplx_0__rm65_rm224_rm289,axiom,( k2_xcmplx_0(k4_xcmplx_0(65),k4_xcmplx_0(224)) = k4_xcmplx_0(289) )).
fof(rqRealAdd__k2_xcmplx_0__rm65_rm264_rm329,axiom,( k2_xcmplx_0(k4_xcmplx_0(65),k4_xcmplx_0(264)) = k4_xcmplx_0(329) )).
fof(rqRealAdd__k2_xcmplx_0__rm65_rm42_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(65),k4_xcmplx_0(42)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm66_rm282_rm348,axiom,( k2_xcmplx_0(k4_xcmplx_0(66),k4_xcmplx_0(282)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__rm66_rm350_rm416,axiom,( k2_xcmplx_0(k4_xcmplx_0(66),k4_xcmplx_0(350)) = k4_xcmplx_0(416) )).
fof(rqRealAdd__k2_xcmplx_0__rm66_rm61_rm127,axiom,( k2_xcmplx_0(k4_xcmplx_0(66),k4_xcmplx_0(61)) = k4_xcmplx_0(127) )).
fof(rqRealAdd__k2_xcmplx_0__rm69_rm42_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(69),k4_xcmplx_0(42)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r104_r98,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),104) = 98 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r10_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),10) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r11_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),11) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r12_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),12) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r130_r124,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),130) = 124 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r136_r130,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),136) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r138_r132,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),138) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r13_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),13) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r141_r135,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),141) = 135 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r144_r138,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),144) = 138 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r14_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),14) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r155_r149,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),155) = 149 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r15_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),15) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r16_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),16) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r172_r166,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),172) = 166 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r18_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),18) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r19_r13,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),19) = 13 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r1_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),1) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r20_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),20) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r22_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),22) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r24_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),24) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r262_r256,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),262) = 256 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r26_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),26) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r28_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),28) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r2_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),2) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r32_r26,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),32) = 26 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r36_r30,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),36) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r3_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),3) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r40_r34,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),40) = 34 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r420_r414,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),420) = 414 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r42_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),42) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r46_r40,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),46) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r48_r42,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),48) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r49_r43,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),49) = 43 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r4_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),4) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r51_r45,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),51) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r52_r46,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),52) = 46 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r5_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),5) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r60_r54,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),60) = 54 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r61_r55,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),61) = 55 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r67_r61,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),67) = 61 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r6_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),6) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r7_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),7) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r84_r78,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),84) = 78 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r89_r83,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),89) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r8_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),8) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r95_r89,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),95) = 89 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_r9_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),9) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm100_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(100)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm101_rm107,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(101)) = k4_xcmplx_0(107) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm102_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(102)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm103_rm109,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(103)) = k4_xcmplx_0(109) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm104_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(104)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm106_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(106)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm107_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(107)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm108_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(108)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm109_rm115,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(109)) = k4_xcmplx_0(115) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm10_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(10)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm110_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(110)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm112_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(112)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm114_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(114)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm116_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(116)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm118_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(118)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm119_rm125,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(119)) = k4_xcmplx_0(125) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm11_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(11)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm120_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(120)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm122_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(122)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm124_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(124)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm125_rm131,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(125)) = k4_xcmplx_0(131) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm126_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(126)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm129_rm135,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(129)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm12_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(12)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm130_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(130)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm131_rm137,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(131)) = k4_xcmplx_0(137) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm134_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(134)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm136_rm142,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(136)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm137_rm143,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(137)) = k4_xcmplx_0(143) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm138_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(138)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm139_rm145,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(139)) = k4_xcmplx_0(145) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm13_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(13)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm142_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(142)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm144_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(144)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm145_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(145)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm146_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(146)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm148_rm154,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(148)) = k4_xcmplx_0(154) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm14_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(14)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm150_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(150)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm152_rm158,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(152)) = k4_xcmplx_0(158) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm154_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(154)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm156_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(156)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm157_rm163,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(157)) = k4_xcmplx_0(163) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm158_rm164,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(158)) = k4_xcmplx_0(164) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm15_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(15)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm162_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(162)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm164_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(164)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm167_rm173,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(167)) = k4_xcmplx_0(173) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm168_rm174,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(168)) = k4_xcmplx_0(174) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm16_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(16)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm170_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(170)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm174_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(174)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm17_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(17)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm180_rm186,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(180)) = k4_xcmplx_0(186) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm181_rm187,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(181)) = k4_xcmplx_0(187) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm186_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(186)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm187_rm193,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(187)) = k4_xcmplx_0(193) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm188_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(188)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm18_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(18)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm194_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(194)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm195_rm201,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(195)) = k4_xcmplx_0(201) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm197_rm203,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(197)) = k4_xcmplx_0(203) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm198_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(198)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm199_rm205,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(199)) = k4_xcmplx_0(205) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm19_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(19)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm1_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(1)) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm200_rm206,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(200)) = k4_xcmplx_0(206) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm201_rm207,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(201)) = k4_xcmplx_0(207) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm203_rm209,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(203)) = k4_xcmplx_0(209) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm204_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(204)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm20_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(20)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm214_rm220,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(214)) = k4_xcmplx_0(220) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm215_rm221,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(215)) = k4_xcmplx_0(221) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm217_rm223,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(217)) = k4_xcmplx_0(223) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm21_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(21)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm225_rm231,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(225)) = k4_xcmplx_0(231) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm228_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(228)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm229_rm235,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(229)) = k4_xcmplx_0(235) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm22_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(22)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm234_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(234)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm23_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(23)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm246_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(246)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm24_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(24)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm251_rm257,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(251)) = k4_xcmplx_0(257) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm254_rm260,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(254)) = k4_xcmplx_0(260) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm25_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(25)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm261_rm267,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(261)) = k4_xcmplx_0(267) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm264_rm270,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(264)) = k4_xcmplx_0(270) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm26_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(26)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm274_rm280,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(274)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm27_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(27)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm280_rm286,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(280)) = k4_xcmplx_0(286) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm281_rm287,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(281)) = k4_xcmplx_0(287) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm282_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(282)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm286_rm292,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(286)) = k4_xcmplx_0(292) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm288_rm294,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(288)) = k4_xcmplx_0(294) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm28_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(28)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm294_rm300,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(294)) = k4_xcmplx_0(300) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm29_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(29)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm2_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(2)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm300_rm306,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(300)) = k4_xcmplx_0(306) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm303_rm309,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(303)) = k4_xcmplx_0(309) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm304_rm310,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(304)) = k4_xcmplx_0(310) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm306_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(306)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm30_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(30)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm316_rm322,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(316)) = k4_xcmplx_0(322) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm31_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(31)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm321_rm327,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(321)) = k4_xcmplx_0(327) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm325_rm331,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(325)) = k4_xcmplx_0(331) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm32_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(32)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm334_rm340,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(334)) = k4_xcmplx_0(340) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm33_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(33)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm342_rm348,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(342)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm344_rm350,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(344)) = k4_xcmplx_0(350) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm346_rm352,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(346)) = k4_xcmplx_0(352) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm348_rm354,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(348)) = k4_xcmplx_0(354) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm34_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(34)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm354_rm360,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(354)) = k4_xcmplx_0(360) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm35_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(35)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm36_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(36)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm372_rm378,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(372)) = k4_xcmplx_0(378) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm373_rm379,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(373)) = k4_xcmplx_0(379) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm379_rm385,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(379)) = k4_xcmplx_0(385) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm37_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(37)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm38_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(38)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm39_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(39)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm3_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(3)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm40_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(40)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm414_rm420,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(414)) = k4_xcmplx_0(420) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm416_rm422,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(416)) = k4_xcmplx_0(422) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm41_rm47,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(41)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm421_rm427,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(421)) = k4_xcmplx_0(427) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm42_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(42)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm436_rm442,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(436)) = k4_xcmplx_0(442) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm43_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(43)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm44_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(44)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm46_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(46)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm471_rm477,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(471)) = k4_xcmplx_0(477) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm475_rm481,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(475)) = k4_xcmplx_0(481) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm484_rm490,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(484)) = k4_xcmplx_0(490) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm491_rm497,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(491)) = k4_xcmplx_0(497) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm496_rm502,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(496)) = k4_xcmplx_0(502) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm49_rm55,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(49)) = k4_xcmplx_0(55) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm4_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(4)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm50_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(50)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm514_rm520,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(514)) = k4_xcmplx_0(520) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm51_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(51)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm52_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(52)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm53_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(53)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm540_rm546,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(540)) = k4_xcmplx_0(546) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm541_rm547,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(541)) = k4_xcmplx_0(547) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm54_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(54)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm557_rm563,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(557)) = k4_xcmplx_0(563) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm55_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(55)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm56_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(56)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm58_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(58)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm5_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(5)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm60_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(60)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm61_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(61)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm624_rm630,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(624)) = k4_xcmplx_0(630) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm62_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(62)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm63_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(63)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm64_rm70,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(64)) = k4_xcmplx_0(70) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm654_rm660,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(654)) = k4_xcmplx_0(660) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm664_rm670,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(664)) = k4_xcmplx_0(670) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm66_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(66)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm67_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(67)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm68_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(68)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm694_rm700,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(694)) = k4_xcmplx_0(700) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm69_rm75,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(69)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm6_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(6)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm70_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(70)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm71_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(71)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm72_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(72)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm74_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(74)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm751_rm757,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(751)) = k4_xcmplx_0(757) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm76_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(76)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm774_rm780,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(774)) = k4_xcmplx_0(780) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm779_rm785,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(779)) = k4_xcmplx_0(785) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm78_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(78)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm79_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(79)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm7_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(7)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm80_rm86,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(80)) = k4_xcmplx_0(86) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm81_rm87,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(81)) = k4_xcmplx_0(87) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm84_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(84)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm854_rm860,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(854)) = k4_xcmplx_0(860) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm85_rm91,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(85)) = k4_xcmplx_0(91) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm87_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(87)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm89_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(89)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm8_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(8)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm90_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(90)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm92_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(92)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm94_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(94)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm97_rm103,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(97)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm98_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(98)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm9_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(9)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm70_rm122_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(122)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm70_rm26_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(26)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm70_rm28_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(28)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm70_rm32_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(32)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm70_rm96_rm166,axiom,( k2_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(96)) = k4_xcmplx_0(166) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_r12_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),12) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_r32_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),32) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_r60_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),60) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm102_rm174,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(102)) = k4_xcmplx_0(174) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm104_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(104)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm108_rm180,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(108)) = k4_xcmplx_0(180) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm117_rm189,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(117)) = k4_xcmplx_0(189) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm120_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(120)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm124_rm196,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(124)) = k4_xcmplx_0(196) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm126_rm198,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(126)) = k4_xcmplx_0(198) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm128_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(128)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm12_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(12)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm132_rm204,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(132)) = k4_xcmplx_0(204) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm134_rm206,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(134)) = k4_xcmplx_0(206) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm136_rm208,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(136)) = k4_xcmplx_0(208) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm138_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(138)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm140_rm212,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(140)) = k4_xcmplx_0(212) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm144_rm216,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(144)) = k4_xcmplx_0(216) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm146_rm218,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(146)) = k4_xcmplx_0(218) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm150_rm222,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(150)) = k4_xcmplx_0(222) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm168_rm240,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(168)) = k4_xcmplx_0(240) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm16_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(16)) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm176_rm248,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(176)) = k4_xcmplx_0(248) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm180_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(180)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm182_rm254,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(182)) = k4_xcmplx_0(254) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm184_rm256,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(184)) = k4_xcmplx_0(256) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm192_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(192)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm200_rm272,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(200)) = k4_xcmplx_0(272) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm205_rm277,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(205)) = k4_xcmplx_0(277) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm206_rm278,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(206)) = k4_xcmplx_0(278) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm212_rm284,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(212)) = k4_xcmplx_0(284) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm216_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(216)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm224_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(224)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm240_rm312,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(240)) = k4_xcmplx_0(312) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm24_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(24)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm252_rm324,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(252)) = k4_xcmplx_0(324) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm254_rm326,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(254)) = k4_xcmplx_0(326) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm258_rm330,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(258)) = k4_xcmplx_0(330) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm264_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(264)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm276_rm348,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(276)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm280_rm352,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(280)) = k4_xcmplx_0(352) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm284_rm356,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(284)) = k4_xcmplx_0(356) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm294_rm366,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(294)) = k4_xcmplx_0(366) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm296_rm368,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(296)) = k4_xcmplx_0(368) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm302_rm374,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(302)) = k4_xcmplx_0(374) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm310_rm382,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(310)) = k4_xcmplx_0(382) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm320_rm392,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(320)) = k4_xcmplx_0(392) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm34_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(34)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm368_rm440,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(368)) = k4_xcmplx_0(440) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm36_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(36)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm372_rm444,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(372)) = k4_xcmplx_0(444) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm378_rm450,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(378)) = k4_xcmplx_0(450) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm37_rm109,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(37)) = k4_xcmplx_0(109) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm380_rm452,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(380)) = k4_xcmplx_0(452) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm384_rm456,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(384)) = k4_xcmplx_0(456) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm38_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(38)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm399_rm471,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(399)) = k4_xcmplx_0(471) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm39_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(39)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm402_rm474,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(402)) = k4_xcmplx_0(474) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm42_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(42)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm44_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(44)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm462_rm534,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(462)) = k4_xcmplx_0(534) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm46_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(46)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm472_rm544,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(472)) = k4_xcmplx_0(544) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm48_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(48)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm492_rm564,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(492)) = k4_xcmplx_0(564) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm52_rm124,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(52)) = k4_xcmplx_0(124) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm55_rm127,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(55)) = k4_xcmplx_0(127) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm564_rm636,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(564)) = k4_xcmplx_0(636) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm56_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(56)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm582_rm654,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(582)) = k4_xcmplx_0(654) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm62_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(62)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm630_rm702,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(630)) = k4_xcmplx_0(702) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm68_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(68)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm692_rm764,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(692)) = k4_xcmplx_0(764) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm69_rm141,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(69)) = k4_xcmplx_0(141) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm6_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(6)) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm700_rm772,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(700)) = k4_xcmplx_0(772) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm702_rm774,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(702)) = k4_xcmplx_0(774) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm70_rm142,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(70)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm71_rm143,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(71)) = k4_xcmplx_0(143) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm72_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(72)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm74_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(74)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm77_rm149,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(77)) = k4_xcmplx_0(149) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm80_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(80)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm828_rm900,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(828)) = k4_xcmplx_0(900) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm84_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(84)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm8_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(8)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm900_rm972,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(900)) = k4_xcmplx_0(972) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm90_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(90)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm72_rm96_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(96)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm75_r144_r69,axiom,( k2_xcmplx_0(k4_xcmplx_0(75),144) = 69 )).
fof(rqRealAdd__k2_xcmplx_0__rm75_r24_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(75),24) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm75_rm148_rm223,axiom,( k2_xcmplx_0(k4_xcmplx_0(75),k4_xcmplx_0(148)) = k4_xcmplx_0(223) )).
fof(rqRealAdd__k2_xcmplx_0__rm76_r208_r132,axiom,( k2_xcmplx_0(k4_xcmplx_0(76),208) = 132 )).
fof(rqRealAdd__k2_xcmplx_0__rm76_r54_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(76),54) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm76_r664_r588,axiom,( k2_xcmplx_0(k4_xcmplx_0(76),664) = 588 )).
fof(rqRealAdd__k2_xcmplx_0__rm76_r69_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(76),69) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm76_rm108_rm184,axiom,( k2_xcmplx_0(k4_xcmplx_0(76),k4_xcmplx_0(108)) = k4_xcmplx_0(184) )).
fof(rqRealAdd__k2_xcmplx_0__rm76_rm94_rm170,axiom,( k2_xcmplx_0(k4_xcmplx_0(76),k4_xcmplx_0(94)) = k4_xcmplx_0(170) )).
fof(rqRealAdd__k2_xcmplx_0__rm77_rm223_rm300,axiom,( k2_xcmplx_0(k4_xcmplx_0(77),k4_xcmplx_0(223)) = k4_xcmplx_0(300) )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r102_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),102) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r110_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),110) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r114_r36,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),114) = 36 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r159_r81,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),159) = 81 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r161_r83,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),161) = 83 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r163_r85,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),163) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r165_r87,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),165) = 87 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_r98_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),98) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm78_rm141_rm219,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(141)) = k4_xcmplx_0(219) )).
fof(rqRealAdd__k2_xcmplx_0__rm78_rm151_rm229,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(151)) = k4_xcmplx_0(229) )).
fof(rqRealAdd__k2_xcmplx_0__rm78_rm218_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(218)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm78_rm51_rm129,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(51)) = k4_xcmplx_0(129) )).
fof(rqRealAdd__k2_xcmplx_0__rm78_rm665_rm743,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(665)) = k4_xcmplx_0(743) )).
fof(rqRealAdd__k2_xcmplx_0__rm78_rm78_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(78)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r10_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),10) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r11_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),11) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r12_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),12) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r13_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),13) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r14_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),14) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r15_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),15) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r16_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),16) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r17_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),17) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r18_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),18) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r19_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),19) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r1_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),1) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r21_r14,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),21) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r27_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),27) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r2_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),2) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r39_r32,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),39) = 32 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r3_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),3) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r4_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),4) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r5_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),5) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r6_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),6) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r7_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),7) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r8_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),8) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r92_r85,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),92) = 85 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_r9_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),9) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm123_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(123)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm129_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(129)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm12_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(12)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm135_rm142,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(135)) = k4_xcmplx_0(142) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm149_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(149)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm14_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(14)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm156_rm163,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(156)) = k4_xcmplx_0(163) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm169_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(169)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm16_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(16)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm17_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(17)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm181_rm188,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(181)) = k4_xcmplx_0(188) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm18_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(18)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm1_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(1)) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm216_rm223,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(216)) = k4_xcmplx_0(223) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm23_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(23)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm245_rm252,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(245)) = k4_xcmplx_0(252) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm24_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(24)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm25_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(25)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm266_rm273,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(266)) = k4_xcmplx_0(273) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm28_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(28)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm297_rm304,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(297)) = k4_xcmplx_0(304) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm2_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(2)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm31_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(31)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm32_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(32)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm37_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(37)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm385_rm392,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(385)) = k4_xcmplx_0(392) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm39_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(39)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm3_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(3)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm40_rm47,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(40)) = k4_xcmplx_0(47) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm41_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(41)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm44_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(44)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm46_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(46)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm47_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(47)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm49_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(49)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm4_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(4)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm50_rm57,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(50)) = k4_xcmplx_0(57) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm54_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(54)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm56_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(56)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm58_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(58)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm59_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(59)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm5_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(5)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm64_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(64)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm66_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(66)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm67_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(67)) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm6_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(6)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm73_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(73)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm7_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(7)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm82_rm89,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(82)) = k4_xcmplx_0(89) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm8_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(8)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm93_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(93)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm9_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(9)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_r429_r349,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),429) = 349 )).
fof(rqRealAdd__k2_xcmplx_0__rm80_r78_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),78) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm120_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(120)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm146_rm226,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(146)) = k4_xcmplx_0(226) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm152_rm232,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(152)) = k4_xcmplx_0(232) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm176_rm256,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(176)) = k4_xcmplx_0(256) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm334_rm414,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(334)) = k4_xcmplx_0(414) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm350_rm430,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(350)) = k4_xcmplx_0(430) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm404_rm484,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(404)) = k4_xcmplx_0(484) )).
fof(rqRealAdd__k2_xcmplx_0__rm80_rm716_rm796,axiom,( k2_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(716)) = k4_xcmplx_0(796) )).
fof(rqRealAdd__k2_xcmplx_0__rm81_rm16_rm97,axiom,( k2_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(16)) = k4_xcmplx_0(97) )).
fof(rqRealAdd__k2_xcmplx_0__rm81_rm377_rm458,axiom,( k2_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(377)) = k4_xcmplx_0(458) )).
fof(rqRealAdd__k2_xcmplx_0__rm81_rm93_rm174,axiom,( k2_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(93)) = k4_xcmplx_0(174) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_r286_r202,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),286) = 202 )).
fof(rqRealAdd__k2_xcmplx_0__rm84_r2_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),2) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_r492_r408,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),492) = 408 )).
fof(rqRealAdd__k2_xcmplx_0__rm84_r78_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),78) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_r8_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),8) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm138_rm222,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(138)) = k4_xcmplx_0(222) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm150_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(150)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm161_rm245,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(161)) = k4_xcmplx_0(245) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm183_rm267,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(183)) = k4_xcmplx_0(267) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm256_rm340,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(256)) = k4_xcmplx_0(340) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm27_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(27)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm310_rm394,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(310)) = k4_xcmplx_0(394) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm400_rm484,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(400)) = k4_xcmplx_0(484) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm402_rm486,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(402)) = k4_xcmplx_0(486) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm427_rm511,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(427)) = k4_xcmplx_0(511) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm67_rm151,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(67)) = k4_xcmplx_0(151) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm68_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(68)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm84_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(84)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm876_rm960,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(876)) = k4_xcmplx_0(960) )).
fof(rqRealAdd__k2_xcmplx_0__rm84_rm97_rm181,axiom,( k2_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(97)) = k4_xcmplx_0(181) )).
fof(rqRealAdd__k2_xcmplx_0__rm87_rm16_rm103,axiom,( k2_xcmplx_0(k4_xcmplx_0(87),k4_xcmplx_0(16)) = k4_xcmplx_0(103) )).
fof(rqRealAdd__k2_xcmplx_0__rm87_rm46_rm133,axiom,( k2_xcmplx_0(k4_xcmplx_0(87),k4_xcmplx_0(46)) = k4_xcmplx_0(133) )).
fof(rqRealAdd__k2_xcmplx_0__rm87_rm51_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(87),k4_xcmplx_0(51)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm87_rm57_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(87),k4_xcmplx_0(57)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm88_rm176_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(88),k4_xcmplx_0(176)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm88_rm40_rm128,axiom,( k2_xcmplx_0(k4_xcmplx_0(88),k4_xcmplx_0(40)) = k4_xcmplx_0(128) )).
fof(rqRealAdd__k2_xcmplx_0__rm88_rm48_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(88),k4_xcmplx_0(48)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r109_r101,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),109) = 101 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r10_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),10) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r110_r102,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),110) = 102 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r111_r103,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),111) = 103 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r11_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),11) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r120_r112,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),120) = 112 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r128_r120,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),128) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r12_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),12) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r134_r126,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),134) = 126 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r138_r130,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),138) = 130 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r13_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),13) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r14_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),14) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r156_r148,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),156) = 148 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r15_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),15) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r162_r154,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),162) = 154 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r164_r156,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),164) = 156 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r16_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),16) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r172_r164,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),172) = 164 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r17_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),17) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r18_r10,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),18) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r1_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),1) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r20_r12,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),20) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r216_r208,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),216) = 208 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r228_r220,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),228) = 220 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r23_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),23) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r24_r16,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),24) = 16 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r26_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),26) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r28_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),28) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r2_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),2) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r30_r22,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),30) = 22 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r32_r24,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),32) = 24 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r36_r28,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),36) = 28 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r3_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),3) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r418_r410,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),418) = 410 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r483_r475,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),483) = 475 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r48_r40,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),48) = 40 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r4_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),4) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r5_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),5) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r6_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),6) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r70_r62,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),70) = 62 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r76_r68,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),76) = 68 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r7_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),7) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r8_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),8) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_r9_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),9) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm100_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(100)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm103_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(103)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm104_rm112,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(104)) = k4_xcmplx_0(112) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm105_rm113,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(105)) = k4_xcmplx_0(113) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm108_rm116,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(108)) = k4_xcmplx_0(116) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm10_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(10)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm111_rm119,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(111)) = k4_xcmplx_0(119) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm113_rm121,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(113)) = k4_xcmplx_0(121) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm114_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(114)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm118_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(118)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm119_rm127,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(119)) = k4_xcmplx_0(127) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm11_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(11)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm122_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(122)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm124_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(124)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm126_rm134,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(126)) = k4_xcmplx_0(134) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm128_rm136,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(128)) = k4_xcmplx_0(136) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm12_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(12)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm130_rm138,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(130)) = k4_xcmplx_0(138) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm132_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(132)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm133_rm141,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(133)) = k4_xcmplx_0(141) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm139_rm147,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(139)) = k4_xcmplx_0(147) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm13_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(13)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm140_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(140)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm142_rm150,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(142)) = k4_xcmplx_0(150) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm14_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(14)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm151_rm159,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(151)) = k4_xcmplx_0(159) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm152_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(152)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm154_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(154)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm157_rm165,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(157)) = k4_xcmplx_0(165) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm15_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(15)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm160_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(160)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm164_rm172,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(164)) = k4_xcmplx_0(172) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm16_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(16)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm170_rm178,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(170)) = k4_xcmplx_0(178) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm171_rm179,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(171)) = k4_xcmplx_0(179) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm176_rm184,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(176)) = k4_xcmplx_0(184) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm178_rm186,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(178)) = k4_xcmplx_0(186) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm17_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(17)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm186_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(186)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm189_rm197,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(189)) = k4_xcmplx_0(197) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm18_rm26,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(18)) = k4_xcmplx_0(26) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm192_rm200,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(192)) = k4_xcmplx_0(200) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm194_rm202,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(194)) = k4_xcmplx_0(202) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm19_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(19)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm1_rm9,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(1)) = k4_xcmplx_0(9) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm204_rm212,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(204)) = k4_xcmplx_0(212) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm20_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(20)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm214_rm222,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(214)) = k4_xcmplx_0(222) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm217_rm225,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(217)) = k4_xcmplx_0(225) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm21_rm29,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(21)) = k4_xcmplx_0(29) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm22_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(22)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm230_rm238,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(230)) = k4_xcmplx_0(238) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm238_rm246,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(238)) = k4_xcmplx_0(246) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm23_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(23)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm24_rm32,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(24)) = k4_xcmplx_0(32) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm258_rm266,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(258)) = k4_xcmplx_0(266) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm25_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(25)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm26_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(26)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm270_rm278,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(270)) = k4_xcmplx_0(278) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm272_rm280,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(272)) = k4_xcmplx_0(280) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm27_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(27)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm288_rm296,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(288)) = k4_xcmplx_0(296) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm28_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(28)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm294_rm302,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(294)) = k4_xcmplx_0(302) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm2_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(2)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm300_rm308,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(300)) = k4_xcmplx_0(308) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm30_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(30)) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm312_rm320,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(312)) = k4_xcmplx_0(320) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm317_rm325,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(317)) = k4_xcmplx_0(325) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm31_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(31)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm32_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(32)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm336_rm344,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(336)) = k4_xcmplx_0(344) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm338_rm346,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(338)) = k4_xcmplx_0(346) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm33_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(33)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm34_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(34)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm350_rm358,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(350)) = k4_xcmplx_0(358) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm35_rm43,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(35)) = k4_xcmplx_0(43) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm364_rm372,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(364)) = k4_xcmplx_0(372) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm36_rm44,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(36)) = k4_xcmplx_0(44) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm382_rm390,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(382)) = k4_xcmplx_0(390) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm38_rm46,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(38)) = k4_xcmplx_0(46) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm3_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(3)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm400_rm408,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(400)) = k4_xcmplx_0(408) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm40_rm48,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(40)) = k4_xcmplx_0(48) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm410_rm418,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(410)) = k4_xcmplx_0(418) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm418_rm426,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(418)) = k4_xcmplx_0(426) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm42_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(42)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm43_rm51,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(43)) = k4_xcmplx_0(51) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm440_rm448,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(440)) = k4_xcmplx_0(448) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm44_rm52,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(44)) = k4_xcmplx_0(52) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm45_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(45)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm46_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(46)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm481_rm489,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(481)) = k4_xcmplx_0(489) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm48_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(48)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm4_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(4)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm51_rm59,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(51)) = k4_xcmplx_0(59) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm52_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(52)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm540_rm548,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(540)) = k4_xcmplx_0(548) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm549_rm557,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(549)) = k4_xcmplx_0(557) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm54_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(54)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm56_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(56)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm58_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(58)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm596_rm604,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(596)) = k4_xcmplx_0(604) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm59_rm67,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(59)) = k4_xcmplx_0(67) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm5_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(5)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm608_rm616,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(608)) = k4_xcmplx_0(616) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm60_rm68,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(60)) = k4_xcmplx_0(68) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm61_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(61)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm629_rm637,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(629)) = k4_xcmplx_0(637) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm63_rm71,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(63)) = k4_xcmplx_0(71) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm64_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(64)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm658_rm666,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(658)) = k4_xcmplx_0(666) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm65_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(65)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm68_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(68)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm6_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(6)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm712_rm720,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(712)) = k4_xcmplx_0(720) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm72_rm80,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(72)) = k4_xcmplx_0(80) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm73_rm81,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(73)) = k4_xcmplx_0(81) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm743_rm751,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(743)) = k4_xcmplx_0(751) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm74_rm82,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(74)) = k4_xcmplx_0(82) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm75_rm83,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(75)) = k4_xcmplx_0(83) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm764_rm772,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(764)) = k4_xcmplx_0(772) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm76_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(76)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm77_rm85,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(77)) = k4_xcmplx_0(85) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm784_rm792,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(784)) = k4_xcmplx_0(792) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm7_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(7)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm82_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(82)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm84_rm92,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(84)) = k4_xcmplx_0(92) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm85_rm93,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(85)) = k4_xcmplx_0(93) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm88_rm96,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(88)) = k4_xcmplx_0(96) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm8_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(8)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm90_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(90)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm92_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(92)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm96_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(96)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm98_rm106,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(98)) = k4_xcmplx_0(106) )).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm9_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(9)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_r184_r94,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),184) = 94 )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm164_rm254,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(164)) = k4_xcmplx_0(254) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm194_rm284,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(194)) = k4_xcmplx_0(284) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm220_rm310,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(220)) = k4_xcmplx_0(310) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm24_rm114,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(24)) = k4_xcmplx_0(114) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm267_rm357,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(267)) = k4_xcmplx_0(357) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm28_rm118,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(28)) = k4_xcmplx_0(118) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm36_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(36)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm90_rm86_rm176,axiom,( k2_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(86)) = k4_xcmplx_0(176) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm108_rm199,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(108)) = k4_xcmplx_0(199) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm165_rm256,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(165)) = k4_xcmplx_0(256) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm180_rm271,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(180)) = k4_xcmplx_0(271) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm192_rm283,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(192)) = k4_xcmplx_0(283) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm213_rm304,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(213)) = k4_xcmplx_0(304) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm484_rm575,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(484)) = k4_xcmplx_0(575) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm538_rm629,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(538)) = k4_xcmplx_0(629) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm55_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(55)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm91_rm80_rm171,axiom,( k2_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(80)) = k4_xcmplx_0(171) )).
fof(rqRealAdd__k2_xcmplx_0__rm92_r212_r120,axiom,( k2_xcmplx_0(k4_xcmplx_0(92),212) = 120 )).
fof(rqRealAdd__k2_xcmplx_0__rm92_r636_r544,axiom,( k2_xcmplx_0(k4_xcmplx_0(92),636) = 544 )).
fof(rqRealAdd__k2_xcmplx_0__rm92_rm3_rm95,axiom,( k2_xcmplx_0(k4_xcmplx_0(92),k4_xcmplx_0(3)) = k4_xcmplx_0(95) )).
fof(rqRealAdd__k2_xcmplx_0__rm92_rm8_rm100,axiom,( k2_xcmplx_0(k4_xcmplx_0(92),k4_xcmplx_0(8)) = k4_xcmplx_0(100) )).
fof(rqRealAdd__k2_xcmplx_0__rm93_rm53_rm146,axiom,( k2_xcmplx_0(k4_xcmplx_0(93),k4_xcmplx_0(53)) = k4_xcmplx_0(146) )).
fof(rqRealAdd__k2_xcmplx_0__rm93_rm59_rm152,axiom,( k2_xcmplx_0(k4_xcmplx_0(93),k4_xcmplx_0(59)) = k4_xcmplx_0(152) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r138_r42,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),138) = 42 )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r18_rm78,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),18) = k4_xcmplx_0(78) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r22_rm74,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),22) = k4_xcmplx_0(74) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r30_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),30) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r38_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),38) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r58_rm38,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),58) = k4_xcmplx_0(38) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r6_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),6) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_r8_rm88,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),8) = k4_xcmplx_0(88) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm128_rm224,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(128)) = k4_xcmplx_0(224) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm12_rm108,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(12)) = k4_xcmplx_0(108) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm14_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(14)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm176_rm272,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(176)) = k4_xcmplx_0(272) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm180_rm276,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(180)) = k4_xcmplx_0(276) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm192_rm288,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(192)) = k4_xcmplx_0(288) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm196_rm292,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(196)) = k4_xcmplx_0(292) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm204_rm300,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(204)) = k4_xcmplx_0(300) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm248_rm344,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(248)) = k4_xcmplx_0(344) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm24_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(24)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm252_rm348,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(252)) = k4_xcmplx_0(348) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm26_rm122,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(26)) = k4_xcmplx_0(122) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm284_rm380,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(284)) = k4_xcmplx_0(380) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm288_rm384,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(288)) = k4_xcmplx_0(384) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm304_rm400,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(304)) = k4_xcmplx_0(400) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm312_rm408,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(312)) = k4_xcmplx_0(408) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm324_rm420,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(324)) = k4_xcmplx_0(420) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm34_rm130,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(34)) = k4_xcmplx_0(130) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm376_rm472,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(376)) = k4_xcmplx_0(472) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm448_rm544,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(448)) = k4_xcmplx_0(544) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm44_rm140,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(44)) = k4_xcmplx_0(140) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm48_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(48)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm511_rm607,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(511)) = k4_xcmplx_0(607) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm52_rm148,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(52)) = k4_xcmplx_0(148) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm65_rm161,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(65)) = k4_xcmplx_0(161) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm66_rm162,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(66)) = k4_xcmplx_0(162) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm688_rm784,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(688)) = k4_xcmplx_0(784) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm72_rm168,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(72)) = k4_xcmplx_0(168) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm8_rm104,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(8)) = k4_xcmplx_0(104) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm96_rm192,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(96)) = k4_xcmplx_0(192) )).
fof(rqRealAdd__k2_xcmplx_0__rm96_rm98_rm194,axiom,( k2_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(98)) = k4_xcmplx_0(194) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r10_r1,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),10) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r11_r2,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),11) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r12_r3,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),12) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r13_r4,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),13) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r14_r5,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),14) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r15_r6,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),15) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r16_r7,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),16) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r17_r8,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),17) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r18_r9,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),18) = 9 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r1_rm8,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),1) = k4_xcmplx_0(8) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r20_r11,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),20) = 11 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r225_r216,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),225) = 216 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r24_r15,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),24) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r27_r18,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),27) = 18 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r281_r272,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),281) = 272 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r28_r19,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),28) = 19 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r29_r20,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),29) = 20 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r2_rm7,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),2) = k4_xcmplx_0(7) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r32_r23,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),32) = 23 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r36_r27,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),36) = 27 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r39_r30,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),39) = 30 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r3_rm6,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),3) = k4_xcmplx_0(6) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r46_r37,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),46) = 37 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r4_rm5,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),4) = k4_xcmplx_0(5) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r5_rm4,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),5) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r66_r57,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),66) = 57 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r6_rm3,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),6) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r7_rm2,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),7) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r8_rm1,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),8) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_r9_r0,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),9) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm101_rm110,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(101)) = k4_xcmplx_0(110) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm102_rm111,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(102)) = k4_xcmplx_0(111) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm108_rm117,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(108)) = k4_xcmplx_0(117) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm10_rm19,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(10)) = k4_xcmplx_0(19) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm111_rm120,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(111)) = k4_xcmplx_0(120) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm117_rm126,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(117)) = k4_xcmplx_0(126) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm118_rm127,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(118)) = k4_xcmplx_0(127) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm11_rm20,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(11)) = k4_xcmplx_0(20) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm123_rm132,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(123)) = k4_xcmplx_0(132) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm126_rm135,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(126)) = k4_xcmplx_0(135) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm12_rm21,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(12)) = k4_xcmplx_0(21) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm135_rm144,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(135)) = k4_xcmplx_0(144) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm138_rm147,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(138)) = k4_xcmplx_0(147) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm13_rm22,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(13)) = k4_xcmplx_0(22) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm147_rm156,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(147)) = k4_xcmplx_0(156) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm14_rm23,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(14)) = k4_xcmplx_0(23) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm150_rm159,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(150)) = k4_xcmplx_0(159) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm151_rm160,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(151)) = k4_xcmplx_0(160) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm155_rm164,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(155)) = k4_xcmplx_0(164) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm158_rm167,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(158)) = k4_xcmplx_0(167) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm15_rm24,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(15)) = k4_xcmplx_0(24) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm16_rm25,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(16)) = k4_xcmplx_0(25) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm184_rm193,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(184)) = k4_xcmplx_0(193) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm18_rm27,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(18)) = k4_xcmplx_0(27) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm190_rm199,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(190)) = k4_xcmplx_0(199) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm199_rm208,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(199)) = k4_xcmplx_0(208) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm19_rm28,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(19)) = k4_xcmplx_0(28) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm1_rm10,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(1)) = k4_xcmplx_0(10) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm200_rm209,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(200)) = k4_xcmplx_0(209) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm201_rm210,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(201)) = k4_xcmplx_0(210) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm21_rm30,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(21)) = k4_xcmplx_0(30) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm225_rm234,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(225)) = k4_xcmplx_0(234) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm22_rm31,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(22)) = k4_xcmplx_0(31) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm241_rm250,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(241)) = k4_xcmplx_0(250) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm24_rm33,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(24)) = k4_xcmplx_0(33) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm254_rm263,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(254)) = k4_xcmplx_0(263) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm255_rm264,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(255)) = k4_xcmplx_0(264) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm25_rm34,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(25)) = k4_xcmplx_0(34) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm265_rm274,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(265)) = k4_xcmplx_0(274) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm26_rm35,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(26)) = k4_xcmplx_0(35) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm270_rm279,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(270)) = k4_xcmplx_0(279) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm276_rm285,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(276)) = k4_xcmplx_0(285) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm27_rm36,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(27)) = k4_xcmplx_0(36) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm282_rm291,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(282)) = k4_xcmplx_0(291) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm28_rm37,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(28)) = k4_xcmplx_0(37) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm2_rm11,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(2)) = k4_xcmplx_0(11) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm306_rm315,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(306)) = k4_xcmplx_0(315) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm307_rm316,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(307)) = k4_xcmplx_0(316) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm30_rm39,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(30)) = k4_xcmplx_0(39) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm31_rm40,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(31)) = k4_xcmplx_0(40) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm325_rm334,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(325)) = k4_xcmplx_0(334) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm327_rm336,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(327)) = k4_xcmplx_0(336) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm32_rm41,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(32)) = k4_xcmplx_0(41) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm33_rm42,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(33)) = k4_xcmplx_0(42) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm348_rm357,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(348)) = k4_xcmplx_0(357) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm356_rm365,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(356)) = k4_xcmplx_0(365) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm36_rm45,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(36)) = k4_xcmplx_0(45) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm3_rm12,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(3)) = k4_xcmplx_0(12) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm400_rm409,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(400)) = k4_xcmplx_0(409) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm40_rm49,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(40)) = k4_xcmplx_0(49) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm410_rm419,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(410)) = k4_xcmplx_0(419) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm41_rm50,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(41)) = k4_xcmplx_0(50) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm422_rm431,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(422)) = k4_xcmplx_0(431) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm423_rm432,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(423)) = k4_xcmplx_0(432) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm44_rm53,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(44)) = k4_xcmplx_0(53) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm45_rm54,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(45)) = k4_xcmplx_0(54) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm47_rm56,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(47)) = k4_xcmplx_0(56) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm49_rm58,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(49)) = k4_xcmplx_0(58) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm4_rm13,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(4)) = k4_xcmplx_0(13) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm513_rm522,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(513)) = k4_xcmplx_0(522) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm51_rm60,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(51)) = k4_xcmplx_0(60) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm52_rm61,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(52)) = k4_xcmplx_0(61) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm53_rm62,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(53)) = k4_xcmplx_0(62) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm54_rm63,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(54)) = k4_xcmplx_0(63) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm55_rm64,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(55)) = k4_xcmplx_0(64) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm56_rm65,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(56)) = k4_xcmplx_0(65) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm57_rm66,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(57)) = k4_xcmplx_0(66) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm589_rm598,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(589)) = k4_xcmplx_0(598) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm599_rm608,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(599)) = k4_xcmplx_0(608) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm5_rm14,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(5)) = k4_xcmplx_0(14) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm60_rm69,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(60)) = k4_xcmplx_0(69) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm63_rm72,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(63)) = k4_xcmplx_0(72) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm64_rm73,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(64)) = k4_xcmplx_0(73) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm66_rm75,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(66)) = k4_xcmplx_0(75) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm671_rm680,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(671)) = k4_xcmplx_0(680) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm67_rm76,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(67)) = k4_xcmplx_0(76) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm680_rm689,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(680)) = k4_xcmplx_0(689) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm681_rm690,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(681)) = k4_xcmplx_0(690) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm68_rm77,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(68)) = k4_xcmplx_0(77) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm690_rm699,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(690)) = k4_xcmplx_0(699) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm6_rm15,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(6)) = k4_xcmplx_0(15) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm70_rm79,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(70)) = k4_xcmplx_0(79) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm75_rm84,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(75)) = k4_xcmplx_0(84) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm7_rm16,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(7)) = k4_xcmplx_0(16) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm81_rm90,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(81)) = k4_xcmplx_0(90) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm85_rm94,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(85)) = k4_xcmplx_0(94) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm89_rm98,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(89)) = k4_xcmplx_0(98) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm8_rm17,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(8)) = k4_xcmplx_0(17) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm90_rm99,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(90)) = k4_xcmplx_0(99) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm93_rm102,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(93)) = k4_xcmplx_0(102) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm96_rm105,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(96)) = k4_xcmplx_0(105) )).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm9_rm18,axiom,( k2_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(9)) = k4_xcmplx_0(18) )).
fof(rqRealAdd__k2_xcmplx_0__rn107d5_rn118d5_r45,axiom,( k2_xcmplx_0(k7_xcmplx_0(107,5),k7_xcmplx_0(118,5)) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__rn10d9_rnm1d9_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(10,9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn118d5_rn156d5_rn274d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(118,5),k7_xcmplx_0(156,5)) = k7_xcmplx_0(274,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn119d10_rn78d5_rn55d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(119,10),k7_xcmplx_0(78,5)) = k7_xcmplx_0(55,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d10_rn2d5_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,10),k7_xcmplx_0(2,5)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d12_rn1d4_rn7d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,12),k7_xcmplx_0(1,4)) = k7_xcmplx_0(7,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d24_rnm5d24_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,24),k7_xcmplx_0(k4_xcmplx_0(5),24)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d4_r4_rn27d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,4),4) = k7_xcmplx_0(27,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d5_rn18d5_rn29d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,5),k7_xcmplx_0(18,5)) = k7_xcmplx_0(29,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d5_rn2d5_rn13d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,5),k7_xcmplx_0(2,5)) = k7_xcmplx_0(13,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d5_rn7d5_rn18d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,5),k7_xcmplx_0(7,5)) = k7_xcmplx_0(18,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d6_rn1d6_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,6),k7_xcmplx_0(1,6)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn11d6_rn2d3_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,6),k7_xcmplx_0(2,3)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d6_rn3d4_rn31d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,6),k7_xcmplx_0(3,4)) = k7_xcmplx_0(31,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn11d6_rnm4d3_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(11,6),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn127d5_rn98d5_r45,axiom,( k2_xcmplx_0(k7_xcmplx_0(127,5),k7_xcmplx_0(98,5)) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn14d5_rn26d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(14,5)) = k7_xcmplx_0(26,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn1d5_rn13d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(13,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn213d5_r45,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(213,5)) = 45 )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn21d10_rn9d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(21,10)) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn27d5_rn39d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(27,5)) = k7_xcmplx_0(39,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn38d5_r10,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(38,5)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn3d5_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(3,5)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn6d5_rn18d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(6,5)) = k7_xcmplx_0(18,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn12d5_rn7d5_rn19d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(7,5)) = k7_xcmplx_0(19,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn131d10_rn9d5_rn149d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(131,10),k7_xcmplx_0(9,5)) = k7_xcmplx_0(149,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn13d10_rn1d5_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(13,10),k7_xcmplx_0(1,5)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn13d10_rn3d5_rn19d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(13,10),k7_xcmplx_0(3,5)) = k7_xcmplx_0(19,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn13d2_rn9d4_rn35d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(13,2),k7_xcmplx_0(9,4)) = k7_xcmplx_0(35,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn13d42_rnm13d14_rnm13d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(13,42),k7_xcmplx_0(k4_xcmplx_0(13),14)) = k7_xcmplx_0(k4_xcmplx_0(13),21) )).
fof(rqRealAdd__k2_xcmplx_0__rn13d42_rnm19d14_rnm22d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(13,42),k7_xcmplx_0(k4_xcmplx_0(19),14)) = k7_xcmplx_0(k4_xcmplx_0(22),21) )).
fof(rqRealAdd__k2_xcmplx_0__rn13d5_rn2d5_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(13,5),k7_xcmplx_0(2,5)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rn14d3_r4_rn26d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(14,3),4) = k7_xcmplx_0(26,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn14d5_rn3d10_rn31d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(14,5),k7_xcmplx_0(3,10)) = k7_xcmplx_0(31,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn159d100_rnm159d100_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(159,100),k7_xcmplx_0(k4_xcmplx_0(159),100)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn159d200_rnm159d200_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(159,200),k7_xcmplx_0(k4_xcmplx_0(159),200)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn15d2_r10_rn35d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(15,2),10) = k7_xcmplx_0(35,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn15d2_r3_rn21d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(15,2),3) = k7_xcmplx_0(21,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn15d2_r5_rn25d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(15,2),5) = k7_xcmplx_0(25,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn15d64_rn3d32_rn21d64,axiom,( k2_xcmplx_0(k7_xcmplx_0(15,64),k7_xcmplx_0(3,32)) = k7_xcmplx_0(21,64) )).
fof(rqRealAdd__k2_xcmplx_0__rn15d64_rn5d16_rn35d64,axiom,( k2_xcmplx_0(k7_xcmplx_0(15,64),k7_xcmplx_0(5,16)) = k7_xcmplx_0(35,64) )).
fof(rqRealAdd__k2_xcmplx_0__rn15d8_rn1d2_rn19d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(15,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(19,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn16d5_rn33d5_rn49d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(16,5),k7_xcmplx_0(33,5)) = k7_xcmplx_0(49,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn17d10_rn2d5_rn21d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(17,10),k7_xcmplx_0(2,5)) = k7_xcmplx_0(21,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn17d12_rn16d3_rn27d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(17,12),k7_xcmplx_0(16,3)) = k7_xcmplx_0(27,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn17d12_rn3d4_rn13d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(17,12),k7_xcmplx_0(3,4)) = k7_xcmplx_0(13,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn18d5_r9_rn63d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(18,5),9) = k7_xcmplx_0(63,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn18d5_rn12d5_r6,axiom,( k2_xcmplx_0(k7_xcmplx_0(18,5),k7_xcmplx_0(12,5)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rn18d5_rn21d5_rn39d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(18,5),k7_xcmplx_0(21,5)) = k7_xcmplx_0(39,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn18d5_rn57d5_r15,axiom,( k2_xcmplx_0(k7_xcmplx_0(18,5),k7_xcmplx_0(57,5)) = 15 )).
fof(rqRealAdd__k2_xcmplx_0__rn18d5_rn69d5_rn87d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(18,5),k7_xcmplx_0(69,5)) = k7_xcmplx_0(87,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn19d10_rn8d5_rn7d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(19,10),k7_xcmplx_0(8,5)) = k7_xcmplx_0(7,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn19d5_rn16d5_r7,axiom,( k2_xcmplx_0(k7_xcmplx_0(19,5),k7_xcmplx_0(16,5)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rn19d5_rn66d5_r17,axiom,( k2_xcmplx_0(k7_xcmplx_0(19,5),k7_xcmplx_0(66,5)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rn1d10_rn1d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(1,10)) = k7_xcmplx_0(1,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rn1d30_rn2d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(1,30)) = k7_xcmplx_0(2,15) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rn1d3_rn13d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(1,3)) = k7_xcmplx_0(13,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rn1d5_rn3d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(1,5)) = k7_xcmplx_0(3,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rn2d15_rn7d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(2,15)) = k7_xcmplx_0(7,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rn3d5_rn7d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(3,5)) = k7_xcmplx_0(7,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rnm1d10_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(k4_xcmplx_0(1),10)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn1d12_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,12)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn1d24_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn1d3_rn5d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,3)) = k7_xcmplx_0(5,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn1d4_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn1d6_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn1d8_rn5d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,8)) = k7_xcmplx_0(5,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn5d12_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(5,12)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rn7d24_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(7,24)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rnm1d12_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),12)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rnm1d24_rn1d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rnm1d60_rn1d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),60)) = k7_xcmplx_0(1,15) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rnm1d6_rnm1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d12_rnm1d8_rnm1d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d14_rn1d42_rn2d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(1,42)) = k7_xcmplx_0(2,21) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d14_rn1d7_rn3d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(1,7)) = k7_xcmplx_0(3,14) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d14_rn2d7_rn5d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(2,7)) = k7_xcmplx_0(5,14) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d14_rn5d21_rn13d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(5,21)) = k7_xcmplx_0(13,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d14_rnm1d14_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(k4_xcmplx_0(1),14)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d15_rn1d10_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,15),k7_xcmplx_0(1,10)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d15_rn1d30_rn1d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,15),k7_xcmplx_0(1,30)) = k7_xcmplx_0(1,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d15_rn1d3_rn2d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,15),k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d15_rn1d6_rn7d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,15),k7_xcmplx_0(1,6)) = k7_xcmplx_0(7,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d15_rn2d15_rn1d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,15),k7_xcmplx_0(2,15)) = k7_xcmplx_0(1,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d15_rnm1d15_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,15),k7_xcmplx_0(k4_xcmplx_0(1),15)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d16_rn1d16_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d16_rn1d8_rn3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(3,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d16_rnm1d16_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d16_rnm1d4_rnm3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d16_rnm1d8_rnm1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d16_rnm3d16_rnm1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d18_rnm1d18_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(k4_xcmplx_0(1),18)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rn1d14_rn5d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(1,14)) = k7_xcmplx_0(5,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rn1d42_rn1d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(1,42)) = k7_xcmplx_0(1,14) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rn2d21_rn1d7,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(2,21)) = k7_xcmplx_0(1,7) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rnm11d14_rnm31d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(k4_xcmplx_0(11),14)) = k7_xcmplx_0(k4_xcmplx_0(31),42) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rnm1d14_rnm1d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(1),42) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rnm1d21_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(k4_xcmplx_0(1),21)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rnm1d7_rnm2d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(k4_xcmplx_0(2),21) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d21_rnm3d14_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,21),k7_xcmplx_0(k4_xcmplx_0(3),14)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d24_rn1d24_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d24_rn1d8_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d24_rnm1d168_rn1d28,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(k4_xcmplx_0(1),168)) = k7_xcmplx_0(1,28) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d24_rnm1d24_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(k4_xcmplx_0(1),24)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d256_rn1d256_rn1d128,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,256),k7_xcmplx_0(1,256)) = k7_xcmplx_0(1,128) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d256_rn1d32_rn9d256,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,256),k7_xcmplx_0(1,32)) = k7_xcmplx_0(9,256) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d256_rnm1d256_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,256),k7_xcmplx_0(k4_xcmplx_0(1),256)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d256_rnm3d256_rnm1d128,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,256),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d27_rnm8d27_rnm7d27,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(k4_xcmplx_0(8),27)) = k7_xcmplx_0(k4_xcmplx_0(7),27) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),0) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r2_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),2) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r3_rn7d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),3) = k7_xcmplx_0(7,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d6_rn2d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn2d3_rn7d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(7,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn2d5_rn9d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(2,5)) = k7_xcmplx_0(9,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d10_rn4d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,10)) = k7_xcmplx_0(4,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d4_rn5d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(5,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn4d3_rn11d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(4,3)) = k7_xcmplx_0(11,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn5d12_rn11d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,12)) = k7_xcmplx_0(11,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn5d2_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,2)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn5d3_rn13d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,3)) = k7_xcmplx_0(13,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn9d4_rn11d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(9,4)) = k7_xcmplx_0(11,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d3_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d6_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d8_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm2d3_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d8_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d30_rn1d15_rn1d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,30),k7_xcmplx_0(1,15)) = k7_xcmplx_0(1,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d30_rn1d3_rn11d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,30),k7_xcmplx_0(1,3)) = k7_xcmplx_0(11,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d30_rn4d15_rn3d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,30),k7_xcmplx_0(4,15)) = k7_xcmplx_0(3,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d32_rnm1d32_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,32),k7_xcmplx_0(k4_xcmplx_0(1),32)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d32_rnm3d256_rn5d256,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,32),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(5,256) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),1) = k7_xcmplx_0(4,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d15_rn2d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,15)) = k7_xcmplx_0(2,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d2_rn5d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d6_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn3d2_rn11d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(11,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn4d3_rn5d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(4,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn5d2_rn17d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(5,2)) = k7_xcmplx_0(17,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d12_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d4_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d6_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm3d8_rnm1d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(1),24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d42_r1_rn43d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,42),1) = k7_xcmplx_0(43,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d42_r5_rn211d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,42),5) = k7_xcmplx_0(211,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d42_rn1d21_rn1d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,42),k7_xcmplx_0(1,21)) = k7_xcmplx_0(1,14) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d42_rn1d42_rn1d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,42),k7_xcmplx_0(1,42)) = k7_xcmplx_0(1,21) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d42_rn2d7_rn13d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,42),k7_xcmplx_0(2,7)) = k7_xcmplx_0(13,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d42_rn4d21_rn3d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,42),k7_xcmplx_0(4,21)) = k7_xcmplx_0(3,14) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d42_rnm1d14_rnm1d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,42),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(1),21) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),0) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_r1_rn5d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),1) = k7_xcmplx_0(5,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_r3_rn13d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),3) = k7_xcmplx_0(13,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rm1_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn13d4_rn7d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(13,4)) = k7_xcmplx_0(7,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn13d8_rn15d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(13,8)) = k7_xcmplx_0(15,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn17d12_rn5d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(17,12)) = k7_xcmplx_0(5,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d16_rn5d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(5,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d24_rn7d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,24)) = k7_xcmplx_0(7,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d6_rn5d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,6)) = k7_xcmplx_0(5,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d8_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn29d12_rn8d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(29,12)) = k7_xcmplx_0(8,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn2d3_rn11d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(2,3)) = k7_xcmplx_0(11,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d2_rn7d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(7,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,4)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d8_rn5d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,8)) = k7_xcmplx_0(5,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn5d24_rn11d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(5,24)) = k7_xcmplx_0(11,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn5d4_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(5,4)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d2_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d8_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d8_rnm1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rn1d10_rn3d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(3,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rn1d5_rn2d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(2,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rn2d5_rn3d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(2,5)) = k7_xcmplx_0(3,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rn3d10_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(3,10)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rn4d5_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(4,5)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d64_rn1d64_rn1d32,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(1,64)) = k7_xcmplx_0(1,32) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d64_rnm1d64_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(1),64)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_r1_rn7d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),1) = k7_xcmplx_0(7,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn1d12_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,12)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn1d24_rn5d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,24)) = k7_xcmplx_0(5,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn1d2_rn2d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,2)) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn1d3_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn1d4_rn5d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn1d6_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn2d15_rn3d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(2,15)) = k7_xcmplx_0(3,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn2d3_rn5d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(2,3)) = k7_xcmplx_0(5,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn4d3_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(4,3)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn5d3_rn11d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(5,3)) = k7_xcmplx_0(11,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn5d6_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(5,6)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rn7d15_rn19d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(7,15)) = k7_xcmplx_0(19,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm1d12_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm1d24_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm1d3_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm1d4_rnm1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm1d6_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm1d8_rn1d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d6_rnm2d3_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d729_rn2d729_rn1d243,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,729),k7_xcmplx_0(2,729)) = k7_xcmplx_0(1,243) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d7_rn1d14_rn3d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(1,14)) = k7_xcmplx_0(3,14) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d7_rnm1d7_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(k4_xcmplx_0(1),7)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d7_rnm3d7_rnm2d7,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(k4_xcmplx_0(3),7)) = k7_xcmplx_0(k4_xcmplx_0(2),7) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_r1_rn9d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),1) = k7_xcmplx_0(9,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn1d12_rn5d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,12)) = k7_xcmplx_0(5,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn1d16_rn3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,16)) = k7_xcmplx_0(3,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn1d24_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn1d3_rn11d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,3)) = k7_xcmplx_0(11,24) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn1d4_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn1d8_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn3d8_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(3,8)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rn5d8_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(5,8)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rnm1d16_rn1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(1,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rnm1d24_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rnm1d8_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rnm3d16_rnm1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rnm3d8_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d8_rnm5d16_rnm3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d9_rn2d3_rn7d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(2,3)) = k7_xcmplx_0(7,9) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d9_rn2d9_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(2,9)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn1d9_rnm1d9_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn211d42_r1_rn253d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(211,42),1) = k7_xcmplx_0(253,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn21d10_rn2d5_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(21,10),k7_xcmplx_0(2,5)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn21d128_rn7d128_rn7d32,axiom,( k2_xcmplx_0(k7_xcmplx_0(21,128),k7_xcmplx_0(7,128)) = k7_xcmplx_0(7,32) )).
fof(rqRealAdd__k2_xcmplx_0__rn21d2_r7_rn35d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(21,2),7) = k7_xcmplx_0(35,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn21d2_rn7d2_r14,axiom,( k2_xcmplx_0(k7_xcmplx_0(21,2),k7_xcmplx_0(7,2)) = 14 )).
fof(rqRealAdd__k2_xcmplx_0__rn21d64_rn35d64_rn7d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(21,64),k7_xcmplx_0(35,64)) = k7_xcmplx_0(7,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn23d10_rn1d5_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(23,10),k7_xcmplx_0(1,5)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn24d5_r25_rn149d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(24,5),25) = k7_xcmplx_0(149,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn24d5_rn21d10_rn69d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(24,5),k7_xcmplx_0(21,10)) = k7_xcmplx_0(69,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn24d5_rn26d5_r10,axiom,( k2_xcmplx_0(k7_xcmplx_0(24,5),k7_xcmplx_0(26,5)) = 10 )).
fof(rqRealAdd__k2_xcmplx_0__rn25d12_rn5d2_rn55d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(25,12),k7_xcmplx_0(5,2)) = k7_xcmplx_0(55,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn25d4_rn1d2_rn27d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(27,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn25d4_rn7d4_r8,axiom,( k2_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(7,4)) = 8 )).
fof(rqRealAdd__k2_xcmplx_0__rn26d5_rn9d5_r7,axiom,( k2_xcmplx_0(k7_xcmplx_0(26,5),k7_xcmplx_0(9,5)) = 7 )).
fof(rqRealAdd__k2_xcmplx_0__rn26d9_r1_rn35d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(26,9),1) = k7_xcmplx_0(35,9) )).
fof(rqRealAdd__k2_xcmplx_0__rn27d10_rn13d10_r4,axiom,( k2_xcmplx_0(k7_xcmplx_0(27,10),k7_xcmplx_0(13,10)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rn29d36_rnm1d4_rn5d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(29,36),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(5,9) )).
fof(rqRealAdd__k2_xcmplx_0__rn29d5_r4_rn49d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(29,5),4) = k7_xcmplx_0(49,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn29d5_r6_rn59d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(29,5),6) = k7_xcmplx_0(59,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn29d6_r4_rn53d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(29,6),4) = k7_xcmplx_0(53,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d15_rn1d30_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,15),k7_xcmplx_0(1,30)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d15_rn3d10_rn13d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,15),k7_xcmplx_0(3,10)) = k7_xcmplx_0(13,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d15_rn3d5_rn11d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,15),k7_xcmplx_0(3,5)) = k7_xcmplx_0(11,15) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d21_rn2d21_rn4d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,21),k7_xcmplx_0(2,21)) = k7_xcmplx_0(4,21) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d21_rn3d14_rn13d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,21),k7_xcmplx_0(3,14)) = k7_xcmplx_0(13,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d21_rn4d21_rn2d7,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,21),k7_xcmplx_0(4,21)) = k7_xcmplx_0(2,7) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),0) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d9_rn7d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,9)) = k7_xcmplx_0(7,9) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(4,3)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d2_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d6_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn2d5_rn1d10_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d5_rn1d5_rn3d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(3,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d5_rn2d5_rn4d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(2,5)) = k7_xcmplx_0(4,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d5_rn3d2_rn19d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(3,2)) = k7_xcmplx_0(19,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d5_rn4d5_rn6d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(4,5)) = k7_xcmplx_0(6,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d5_rn9d10_rn13d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(9,10)) = k7_xcmplx_0(13,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d729_rn1d729_rn1d243,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,729),k7_xcmplx_0(1,729)) = k7_xcmplx_0(1,243) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d7_rn1d14_rn5d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,7),k7_xcmplx_0(1,14)) = k7_xcmplx_0(5,14) )).
fof(rqRealAdd__k2_xcmplx_0__rn2d9_rn1d9_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(2,9),k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn31d10_rn4d5_rn39d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(31,10),k7_xcmplx_0(4,5)) = k7_xcmplx_0(39,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn31d72_rnm1d18_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(31,72),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn33d8_rnm27d8_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(33,8),k7_xcmplx_0(k4_xcmplx_0(27),8)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn35d64_rn21d64_rn7d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(35,64),k7_xcmplx_0(21,64)) = k7_xcmplx_0(7,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn36d5_rn24d5_r12,axiom,( k2_xcmplx_0(k7_xcmplx_0(36,5),k7_xcmplx_0(24,5)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rn39d10_rn1d5_rn41d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(39,10),k7_xcmplx_0(1,5)) = k7_xcmplx_0(41,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn39d5_rn21d5_r12,axiom,( k2_xcmplx_0(k7_xcmplx_0(39,5),k7_xcmplx_0(21,5)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rn39d5_rn22d5_rn61d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(39,5),k7_xcmplx_0(22,5)) = k7_xcmplx_0(61,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn14d5_rn31d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(14,5)) = k7_xcmplx_0(31,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn1d10_rn2d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(1,10)) = k7_xcmplx_0(2,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn1d5_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(1,5)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn2d5_rn7d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(2,5)) = k7_xcmplx_0(7,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn3d10_rn3d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(3,10)) = k7_xcmplx_0(3,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn3d5_rn9d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(3,5)) = k7_xcmplx_0(9,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn6d5_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(6,5)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn9d10_rn6d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(9,10)) = k7_xcmplx_0(6,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rn9d5_rn21d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(9,5)) = k7_xcmplx_0(21,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d10_rnm1d15_rn7d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(k4_xcmplx_0(1),15)) = k7_xcmplx_0(7,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d14_rnm11d7_rnm19d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,14),k7_xcmplx_0(k4_xcmplx_0(11),7)) = k7_xcmplx_0(k4_xcmplx_0(19),14) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d14_rnm9d14_rnm3d7,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,14),k7_xcmplx_0(k4_xcmplx_0(9),14)) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d16_rn1d16_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d16_rn1d8_rn5d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(5,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d16_rn3d16_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(3,16)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d16_rnm3d16_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d16_rnm3d8_rnm3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),0) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_r3_rn9d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),3) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(1)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn22d3_rn53d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(22,3)) = k7_xcmplx_0(53,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn29d4_rn35d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(29,4)) = k7_xcmplx_0(35,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn2d3_rn13d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(13,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn5d4_rn11d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(5,4)) = k7_xcmplx_0(11,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn9d10_rn12d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(9,10)) = k7_xcmplx_0(12,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d4_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d32_rn1d64_rn7d64,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,32),k7_xcmplx_0(1,64)) = k7_xcmplx_0(7,64) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_r1_rn7d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),1) = k7_xcmplx_0(7,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_r2_rn11d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),2) = k7_xcmplx_0(11,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d2_rn5d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,4)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn1d6_rn11d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,6)) = k7_xcmplx_0(11,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn3d2_rn9d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(9,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn5d4_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(5,4)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d2_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm2d3_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d2_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rn3d5_rn13d15_rn22d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,5),k7_xcmplx_0(13,15)) = k7_xcmplx_0(22,15) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d5_rn3d10_rn9d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,5),k7_xcmplx_0(3,10)) = k7_xcmplx_0(9,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d5_rn4d5_rn7d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,5),k7_xcmplx_0(4,5)) = k7_xcmplx_0(7,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d8_r1_rn11d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,8),1) = k7_xcmplx_0(11,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d8_r2_rn19d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,8),2) = k7_xcmplx_0(19,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d8_rn1d24_rn5d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(1,24)) = k7_xcmplx_0(5,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d8_rn1d8_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d8_rn3d8_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(3,8)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d8_rnm1d4_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rn3d8_rnm1d8_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn41d12_rn10d3_rn27d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(41,12),k7_xcmplx_0(10,3)) = k7_xcmplx_0(27,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn43d42_r5_rn253d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(43,42),5) = k7_xcmplx_0(253,42) )).
fof(rqRealAdd__k2_xcmplx_0__rn47d5_rn12d5_rn59d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(47,5),k7_xcmplx_0(12,5)) = k7_xcmplx_0(59,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn49d5_rn78d5_rn127d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(49,5),k7_xcmplx_0(78,5)) = k7_xcmplx_0(127,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(2,3)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn4d5_r3_rn19d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(4,5),3) = k7_xcmplx_0(19,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn4d5_rm1_rnm1d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(4,5),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealAdd__k2_xcmplx_0__rn4d5_rn1d5_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(4,5),k7_xcmplx_0(1,5)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rn4d5_rn2d5_rn6d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(4,5),k7_xcmplx_0(2,5)) = k7_xcmplx_0(6,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn4d5_rn3d5_rn7d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(4,5),k7_xcmplx_0(3,5)) = k7_xcmplx_0(7,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn55d12_rn11d4_rn22d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(55,12),k7_xcmplx_0(11,4)) = k7_xcmplx_0(22,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn57d10_rn24d5_rn21d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(57,10),k7_xcmplx_0(24,5)) = k7_xcmplx_0(21,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn57d10_rn31d5_rn119d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(57,10),k7_xcmplx_0(31,5)) = k7_xcmplx_0(119,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn59d5_rn26d5_r17,axiom,( k2_xcmplx_0(k7_xcmplx_0(59,5),k7_xcmplx_0(26,5)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_r3_rn41d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),3) = k7_xcmplx_0(41,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_rn1d2_rn11d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(1,2)) = k7_xcmplx_0(11,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_rn1d4_rn2d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(1,4)) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_rn3d4_rn7d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(3,4)) = k7_xcmplx_0(7,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_rn5d12_rn5d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(5,12)) = k7_xcmplx_0(5,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_rn5d3_rn25d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(5,3)) = k7_xcmplx_0(25,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_rn5d4_rn5d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(5,4)) = k7_xcmplx_0(5,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d12_rn5d6_rn5d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(5,6)) = k7_xcmplx_0(5,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d24_rnm1d8_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,24),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d2_rm2_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,2),k4_xcmplx_0(2)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d2_rn15d4_rn25d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(15,4)) = k7_xcmplx_0(25,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d2_rn1d2_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(1,2)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rn5d2_rn3d2_r4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(3,2)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rn5d2_rnm1d4_rn9d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(9,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d32_rn1d32_rn3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,32),k7_xcmplx_0(1,32)) = k7_xcmplx_0(3,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d3_r2_rn11d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,3),2) = k7_xcmplx_0(11,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d3_rn1d2_rn13d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(13,6) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d3_rn5d6_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(5,6)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d4_rn1d2_rn7d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d4_rn1d4_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d4_rn3d4_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(3,4)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn5d4_rn5d4_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(5,4)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d6_rn11d12_rn7d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(11,12)) = k7_xcmplx_0(7,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d6_rn5d3_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(5,3)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d6_rn5d6_rn5d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(5,6)) = k7_xcmplx_0(5,3) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d8_rn1d8_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d8_rn5d16_rn15d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,8),k7_xcmplx_0(5,16)) = k7_xcmplx_0(15,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d8_rnm3d8_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn5d9_rnm1d8_rn31d72,axiom,( k2_xcmplx_0(k7_xcmplx_0(5,9),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(31,72) )).
fof(rqRealAdd__k2_xcmplx_0__rn61d5_rn24d5_r17,axiom,( k2_xcmplx_0(k7_xcmplx_0(61,5),k7_xcmplx_0(24,5)) = 17 )).
fof(rqRealAdd__k2_xcmplx_0__rn69d10_rn31d5_rn131d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(69,10),k7_xcmplx_0(31,5)) = k7_xcmplx_0(131,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn14d5_r4,axiom,( k2_xcmplx_0(k7_xcmplx_0(6,5),k7_xcmplx_0(14,5)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn19d5_r5,axiom,( k2_xcmplx_0(k7_xcmplx_0(6,5),k7_xcmplx_0(19,5)) = 5 )).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn1d5_rn7d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(6,5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(7,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn3d10_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(6,5),k7_xcmplx_0(3,10)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn6d5_rn12d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(6,5),k7_xcmplx_0(6,5)) = k7_xcmplx_0(12,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn8d5_rn14d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(6,5),k7_xcmplx_0(8,5)) = k7_xcmplx_0(14,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn6d5_rn9d2_rn57d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(6,5),k7_xcmplx_0(9,2)) = k7_xcmplx_0(57,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn79d10_rn41d10_r12,axiom,( k2_xcmplx_0(k7_xcmplx_0(79,10),k7_xcmplx_0(41,10)) = 12 )).
fof(rqRealAdd__k2_xcmplx_0__rn7d10_r2_rn27d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,10),2) = k7_xcmplx_0(27,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d128_rn1d128_rn1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,128),k7_xcmplx_0(1,128)) = k7_xcmplx_0(1,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d24_rn1d8_rn5d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,24),k7_xcmplx_0(1,8)) = k7_xcmplx_0(5,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d2_r1_rn9d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,2),1) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d2_r4_rn15d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,2),4) = k7_xcmplx_0(15,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d2_rn1d2_r4,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(1,2)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rn7d2_rn21d4_rn35d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(21,4)) = k7_xcmplx_0(35,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d4_rn3d4_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d5_rn1d5_rn8d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(8,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d5_rn2d5_rn9d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,5),k7_xcmplx_0(2,5)) = k7_xcmplx_0(9,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d5_rn3d10_rn17d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,5),k7_xcmplx_0(3,10)) = k7_xcmplx_0(17,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d5_rn3d5_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,5),k7_xcmplx_0(3,5)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn7d6_rn1d3_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,6),k7_xcmplx_0(1,3)) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn7d6_rn5d6_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(7,6),k7_xcmplx_0(5,6)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn8d5_rn2d5_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(8,5),k7_xcmplx_0(2,5)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn8d5_rn3d5_rn11d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(8,5),k7_xcmplx_0(3,5)) = k7_xcmplx_0(11,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn8d5_rn4d5_rn12d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(8,5),k7_xcmplx_0(4,5)) = k7_xcmplx_0(12,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn8d5_rn7d5_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(8,5),k7_xcmplx_0(7,5)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rn8d9_r2_rn26d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(8,9),2) = k7_xcmplx_0(26,9) )).
fof(rqRealAdd__k2_xcmplx_0__rn8d9_rn10d9_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(8,9),k7_xcmplx_0(10,9)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn18d5_rn9d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(18,5)) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn1d5_rn11d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(1,5)) = k7_xcmplx_0(11,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn24d5_rn57d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(24,5)) = k7_xcmplx_0(57,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn2d15_rn31d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(2,15)) = k7_xcmplx_0(31,30) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn2d5_rn13d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(2,5)) = k7_xcmplx_0(13,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn3d10_rn6d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(3,10)) = k7_xcmplx_0(6,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn6d5_rn21d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(6,5)) = k7_xcmplx_0(21,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn9d10_rn9d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(9,10)) = k7_xcmplx_0(9,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d10_rn9d5_rn27d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,10),k7_xcmplx_0(9,5)) = k7_xcmplx_0(27,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d16_r1_rn25d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,16),1) = k7_xcmplx_0(25,16) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d256_rnm3d256_rn3d128,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,256),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(3,128) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d2_r4_rn17d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,2),4) = k7_xcmplx_0(17,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d2_r8_rn25d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,2),8) = k7_xcmplx_0(25,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d2_rn17d5_rn79d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(17,5)) = k7_xcmplx_0(79,10) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d2_rnm1d2_r4,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rn9d4_r2_rn17d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,4),2) = k7_xcmplx_0(17,4) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d4_rn1d3_rn31d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(31,12) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d4_rn1d4_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d5_r16_rn89d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,5),16) = k7_xcmplx_0(89,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d5_r4_rn29d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,5),4) = k7_xcmplx_0(29,5) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d5_rn11d5_r4,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,5),k7_xcmplx_0(11,5)) = 4 )).
fof(rqRealAdd__k2_xcmplx_0__rn9d5_rn1d5_r2,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,5),k7_xcmplx_0(1,5)) = 2 )).
fof(rqRealAdd__k2_xcmplx_0__rn9d5_rn27d10_rn9d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,5),k7_xcmplx_0(27,10)) = k7_xcmplx_0(9,2) )).
fof(rqRealAdd__k2_xcmplx_0__rn9d8_rnm1d8_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(9,8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rnm13d14_rnm3d7_rnm19d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),14),k7_xcmplx_0(k4_xcmplx_0(3),7)) = k7_xcmplx_0(k4_xcmplx_0(19),14) )).
fof(rqRealAdd__k2_xcmplx_0__rnm13d30_rn13d10_rn13d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),30),k7_xcmplx_0(13,10)) = k7_xcmplx_0(13,15) )).
fof(rqRealAdd__k2_xcmplx_0__rnm13d30_rn19d10_rn22d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),30),k7_xcmplx_0(19,10)) = k7_xcmplx_0(22,15) )).
fof(rqRealAdd__k2_xcmplx_0__rnm159d100_rn159d100_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),k7_xcmplx_0(159,100)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm15d2_rm10_rnm35d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),2),k4_xcmplx_0(10)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm15d64_rnm5d16_rnm35d64,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),64),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(35),64) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d10_rn1d10_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10),k7_xcmplx_0(1,10)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d10_rnm1d30_rnm2d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10),k7_xcmplx_0(k4_xcmplx_0(1),30)) = k7_xcmplx_0(k4_xcmplx_0(2),15) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d10_rnm1d3_rnm13d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(13),30) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d10_rnm1d5_rnm3d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d128_rn1d128_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),128),k7_xcmplx_0(1,128)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d12_rn1d24_rnm1d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),24) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d12_rn1d3_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d12_rn1d4_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d12_rn1d6_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d12_rnm1d12_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d12_rnm1d8_rnm5d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(5),24) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d14_rn1d14_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),k7_xcmplx_0(1,14)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d14_rn1d42_rnm1d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),k7_xcmplx_0(1,42)) = k7_xcmplx_0(k4_xcmplx_0(1),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d14_rnm1d42_rnm2d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(k4_xcmplx_0(2),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d14_rnm1d7_rnm3d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(k4_xcmplx_0(3),14) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d15_rn11d10_rn31d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),k7_xcmplx_0(11,10)) = k7_xcmplx_0(31,30) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d15_rn1d5_rn2d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),k7_xcmplx_0(1,5)) = k7_xcmplx_0(2,15) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d15_rn3d10_rn7d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),k7_xcmplx_0(3,10)) = k7_xcmplx_0(7,30) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d15_rnm1d10_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d15_rnm1d30_rnm1d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),k7_xcmplx_0(k4_xcmplx_0(1),30)) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d15_rnm2d15_rnm1d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),k7_xcmplx_0(k4_xcmplx_0(2),15)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d168_rn1d24_rn1d28,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),168),k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,28) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d16_rn1d16_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,16)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d16_rn1d8_rn1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d16_rn3d16_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(3,16)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d16_rnm1d16_rnm1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d16_rnm1d8_rnm3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d16_rnm3d16_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d18_rn31d72_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),18),k7_xcmplx_0(31,72)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d21_rnm10d21_rnm11d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),k7_xcmplx_0(k4_xcmplx_0(10),21)) = k7_xcmplx_0(k4_xcmplx_0(11),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d21_rnm1d14_rnm5d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(5),42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d21_rnm1d21_rnm2d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),k7_xcmplx_0(k4_xcmplx_0(1),21)) = k7_xcmplx_0(k4_xcmplx_0(2),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d21_rnm1d42_rnm1d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d21_rnm2d21_rnm1d7,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),k7_xcmplx_0(k4_xcmplx_0(2),21)) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d21_rnm5d42_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),k7_xcmplx_0(k4_xcmplx_0(5),42)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d24_rn1d12_rn1d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k7_xcmplx_0(1,12)) = k7_xcmplx_0(1,24) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d24_rn1d6_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d24_rnm1d8_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d27_rnm2d27_rnm1d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) = k7_xcmplx_0(3,2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r4_rn7d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),4) = k7_xcmplx_0(7,2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm2_rnm5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d6_rnm1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn2d3_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d4_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn5d4_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(5,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn641d2_r320,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(641,2)) = 320 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d4_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d30_rn1d10_rn1d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),k7_xcmplx_0(1,10)) = k7_xcmplx_0(1,15) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d30_rnm1d15_rnm1d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),k7_xcmplx_0(k4_xcmplx_0(1),15)) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d30_rnm4d15_rnm3d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),k7_xcmplx_0(k4_xcmplx_0(4),15)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) = k7_xcmplx_0(2,3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r4_rn11d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),4) = k7_xcmplx_0(11,3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d2_rn1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d4_rnm1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(4,3)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d6_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d42_r10_rn419d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),10) = k7_xcmplx_0(419,42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d42_rnm1d21_rnm1d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),k7_xcmplx_0(k4_xcmplx_0(1),21)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d42_rnm1d42_rnm1d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(k4_xcmplx_0(1),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d42_rnm3d7_rnm19d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),k7_xcmplx_0(k4_xcmplx_0(3),7)) = k7_xcmplx_0(k4_xcmplx_0(19),42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d42_rnm5d21_rnm11d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),k7_xcmplx_0(k4_xcmplx_0(5),21)) = k7_xcmplx_0(k4_xcmplx_0(11),42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),1) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn17d6_rn31d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(17,6)) = k7_xcmplx_0(31,12) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d24_rnm5d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(5),24) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d2_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d3_rn1d12,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,12) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,4)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d8_rnm1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn29d36_rn5d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(29,36)) = k7_xcmplx_0(5,9) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d16_rnm5d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d2_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d8_rnm3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm3d4_rm1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d5_rn3d5_rn2d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(3,5)) = k7_xcmplx_0(2,5) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d5_rnm1d10_rnm3d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d60_rn1d12_rn1d15,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),60),k7_xcmplx_0(1,12)) = k7_xcmplx_0(1,15) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d64_rn1d32_rn1d64,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(1,32)) = k7_xcmplx_0(1,64) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d64_rn1d64_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(1,64)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d64_rnm1d32_rnm3d64,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d64_rnm1d64_rnm1d32,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d64_rnm3d64_rnm1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_r1_rn5d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),1) = k7_xcmplx_0(5,6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rn1d2_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rn1d6_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,6)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rn2d3_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rn8d3_rn5d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(8,3)) = k7_xcmplx_0(5,2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rnm11d6_rm2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(11),6)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rnm1d12_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rnm1d3_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d6_rnm1d6_rnm1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d729_rnm2d729_rnm1d243,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),k7_xcmplx_0(k4_xcmplx_0(2),729)) = k7_xcmplx_0(k4_xcmplx_0(1),243) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d7_r10_rn69d7,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),10) = k7_xcmplx_0(69,7) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d7_rn1d21_rnm2d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(1,21)) = k7_xcmplx_0(k4_xcmplx_0(2),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d7_rnm1d14_rnm3d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(3),14) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d7_rnm2d21_rnm5d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(k4_xcmplx_0(2),21)) = k7_xcmplx_0(k4_xcmplx_0(5),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d7_rnm2d7_rnm3d7,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(k4_xcmplx_0(2),7)) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d81_rnm1d81_rnm2d81,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),81),k7_xcmplx_0(k4_xcmplx_0(1),81)) = k7_xcmplx_0(k4_xcmplx_0(2),81) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn1d16_rnm1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn1d2_rn3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn1d4_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn1d6_rn1d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,24) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn1d8_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,8)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn1d9_rnm1d72,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),72) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn25d8_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(25,8)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn3d16_rn1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(3,16)) = k7_xcmplx_0(1,16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn49d8_r6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(49,8)) = 6 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn5d2_rn19d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(5,2)) = k7_xcmplx_0(19,8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn5d9_rn31d72,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(5,9)) = k7_xcmplx_0(31,72) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rn9d8_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(9,8)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rnm1d12_rnm5d24,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(5),24) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rnm1d24_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rnm1d4_rnm3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rnm1d8_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rnm3d16_rnm5d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d8_rnm5d8_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d9_r3_rn26d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),3) = k7_xcmplx_0(26,9) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d9_r4_rn35d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),4) = k7_xcmplx_0(35,9) )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d9_rn10d9_r1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(10,9)) = 1 )).
fof(rqRealAdd__k2_xcmplx_0__rnm1d9_rn1d9_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(1,9)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm25d36_r1_rn11d36,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),36),1) = k7_xcmplx_0(11,36) )).
fof(rqRealAdd__k2_xcmplx_0__rnm27d4_rn27d8_rnm27d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),4),k7_xcmplx_0(27,8)) = k7_xcmplx_0(k4_xcmplx_0(27),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d15_rnm3d10_rnm13d30,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),15),k7_xcmplx_0(k4_xcmplx_0(3),10)) = k7_xcmplx_0(k4_xcmplx_0(13),30) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d21_rnm1d14_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),21),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d21_rnm1d42_rnm5d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),21),k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(k4_xcmplx_0(5),42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d21_rnm3d14_rnm13d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),21),k7_xcmplx_0(k4_xcmplx_0(3),14)) = k7_xcmplx_0(k4_xcmplx_0(13),42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d21_rnm3d7_rnm11d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),21),k7_xcmplx_0(k4_xcmplx_0(3),7)) = k7_xcmplx_0(k4_xcmplx_0(11),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d27_rnm1d27_rnm1d9,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),1) = k7_xcmplx_0(1,3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(2,3)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm2d3_rnm4d3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm2d729_rnm1d729_rnm1d243,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),729),k7_xcmplx_0(k4_xcmplx_0(1),729)) = k7_xcmplx_0(k4_xcmplx_0(1),243) )).
fof(rqRealAdd__k2_xcmplx_0__rnm35d64_rnm21d64_rnm7d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),64),k7_xcmplx_0(k4_xcmplx_0(21),64)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d10_rn11d5_rn19d10,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),10),k7_xcmplx_0(11,5)) = k7_xcmplx_0(19,10) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d10_rn9d10_rn3d5,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),10),k7_xcmplx_0(9,10)) = k7_xcmplx_0(3,5) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d128_rn1d256_rnm5d256,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(1,256)) = k7_xcmplx_0(k4_xcmplx_0(5),256) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d128_rn3d128_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(3,128)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d128_rn5d256_rnm1d256,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(5,256)) = k7_xcmplx_0(k4_xcmplx_0(1),256) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d128_rnm1d128_rnm1d32,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(k4_xcmplx_0(1),128)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d128_rnm3d256_rnm9d256,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(k4_xcmplx_0(9),256) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d14_rn1d21_rnm1d6,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),14),k7_xcmplx_0(1,21)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d16_rn3d16_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(3,16)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d16_rnm3d16_rnm3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d256_rn1d256_rnm1d128,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),k7_xcmplx_0(1,256)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d256_rn1d32_rn5d256,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),k7_xcmplx_0(1,32)) = k7_xcmplx_0(5,256) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d256_rn9d256_rn3d128,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),k7_xcmplx_0(9,256)) = k7_xcmplx_0(3,128) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),1) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),2) = k7_xcmplx_0(1,2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d4_rnm5d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,2)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d4_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn9d2_r3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(9,2)) = 3 )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm1d2_rm2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d32_rnm1d64_rnm7d64,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),1) = k7_xcmplx_0(1,4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn1d2_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d2_rn3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(3,4)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d8_rnm3d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(1) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm3d4_rnm3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d7_rnm13d21_rnm22d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),7),k7_xcmplx_0(k4_xcmplx_0(13),21)) = k7_xcmplx_0(k4_xcmplx_0(22),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d8_rn1d2_rn1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d8_rn1d4_rnm1d8,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d8_rn1d8_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d8_rn3d8_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(3,8)) = 0 )).
fof(rqRealAdd__k2_xcmplx_0__rnm3d8_rnm3d8_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm4d21_rnm2d7_rnm10d21,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),21),k7_xcmplx_0(k4_xcmplx_0(2),7)) = k7_xcmplx_0(k4_xcmplx_0(10),21) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d24_rnm1d24_rnm1d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),24),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d2_r2_rnm1d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d2_rnm1d2_rm3,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(3) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d32_rnm1d32_rnm3d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),32),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d42_rnm1d3_rnm19d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),42),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(19),42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d42_rnm2d21_rnm3d14,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),42),k7_xcmplx_0(k4_xcmplx_0(2),21)) = k7_xcmplx_0(k4_xcmplx_0(3),14) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d4_rnm1d4_rnm3d2,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealAdd__k2_xcmplx_0__rnm5d8_rnm1d8_rnm3d4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm7d128_rnm1d128_rnm1d16,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),128),k7_xcmplx_0(k4_xcmplx_0(1),128)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealAdd__k2_xcmplx_0__rnm7d2_rnm1d2_rm4,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(4) )).
fof(rqRealAdd__k2_xcmplx_0__rnm8d27_rn1d27_rnm7d27,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(7),27) )).
fof(rqRealAdd__k2_xcmplx_0__rnm9d14_rnm2d21_rnm31d42,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),14),k7_xcmplx_0(k4_xcmplx_0(2),21)) = k7_xcmplx_0(k4_xcmplx_0(31),42) )).
fof(rqRealAdd__k2_xcmplx_0__rnm9d2_rn9d2_r0,axiom,( k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(9,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr12r0_cr1r0_cr11r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(12,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(11,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr12r0_crm1r0_cr13r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(12,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(13,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr13r0_cr1r0_cr12r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(13,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(12,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr14r0_crn1d2r0_crn27d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(14,k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr12r0_crm11r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(12,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(11),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r0_r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k1_xcmplx_0) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r1_rm1,axiom,( k6_xcmplx_0(k1_xcmplx_0,k2_xcmplx_0(k1_xcmplx_0,1)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1rm1_r1,axiom,( k6_xcmplx_0(k1_xcmplx_0,k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr256r0_crm255r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(256,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(255),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr27r0_crm26r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(27,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(26),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr2r0_crm1r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr3r0_crm2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr4r0_crm3r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr54r0_crm53r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(54,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(53),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr55r0_crm54r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(55,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(54),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr8r0_crm7r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(8,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(7),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm12r0_cr13r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0)) = k3_xcmplx_0(13,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm1r0_cr2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm1rnm1d2_cr2rn1d2,axiom,( k6_xcmplx_0(k1_xcmplx_0,k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm24r0_cr25r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(24),k1_xcmplx_0)) = k3_xcmplx_0(25,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm256r0_cr257r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0)) = k3_xcmplx_0(257,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm2r0_cr3r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm4r0_cr5r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(5,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm53r0_cr54r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(53),k1_xcmplx_0)) = k3_xcmplx_0(54,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm54r0_cr55r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(54),k1_xcmplx_0)) = k3_xcmplx_0(55,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crn1d2r0_crn1d2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crn27d2r0_crnm25d2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crn3d2r0_crnm1d2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crnm1d2r0_crn3d2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crnm27d2r0_crn29d2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(29,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crnm3d2r0_crn5d2r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(5,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r0_cr1r0,axiom,( k6_xcmplx_0(k1_xcmplx_0,0) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r12_cr1rm12,axiom,( k6_xcmplx_0(k1_xcmplx_0,12) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(12)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r16_cr1rm16,axiom,( k6_xcmplx_0(k1_xcmplx_0,16) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(16)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r1_cr1rm1,axiom,( k6_xcmplx_0(k1_xcmplx_0,1) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r256_cr1rm256,axiom,( k6_xcmplx_0(k1_xcmplx_0,256) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(256)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r27_cr1rm27,axiom,( k6_xcmplx_0(k1_xcmplx_0,27) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(27)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r2_cr1rm2,axiom,( k6_xcmplx_0(k1_xcmplx_0,2) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r32_cr1rm32,axiom,( k6_xcmplx_0(k1_xcmplx_0,32) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(32)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r3_cr1rm3,axiom,( k6_xcmplx_0(k1_xcmplx_0,3) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r4_cr1rm4,axiom,( k6_xcmplx_0(k1_xcmplx_0,4) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(4)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r54_cr1rm54,axiom,( k6_xcmplx_0(k1_xcmplx_0,54) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(54)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r5_cr1rm5,axiom,( k6_xcmplx_0(k1_xcmplx_0,5) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(5)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r64_cr1rm64,axiom,( k6_xcmplx_0(k1_xcmplx_0,64) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(64)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r6_cr1rm6,axiom,( k6_xcmplx_0(k1_xcmplx_0,6) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(6)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r8_cr1rm8,axiom,( k6_xcmplx_0(k1_xcmplx_0,8) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(8)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r9_cr1rm9,axiom,( k6_xcmplx_0(k1_xcmplx_0,9) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(9)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rm1_cr1r1,axiom,( k6_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rn1d2_cr1rnm1d2,axiom,( k6_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rn1d3_cr1rnm1d3,axiom,( k6_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,3)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),3)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rn1d4_cr1rnm1d4,axiom,( k6_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,4)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),4)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rn3d2_cr1rnm3d2,axiom,( k6_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(3,2)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rnm1d2_cr1rn1d2,axiom,( k6_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r0_r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k1_xcmplx_0) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k2_xcmplx_0(k1_xcmplx_0,1)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_crm1r0_cr2r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_crn1d2r0_crn1d2r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_crn1d2rnm1d2_crn1d2rn3d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_r0_cr1r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),0) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_r1_cr1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),1) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_rm1_cr1r2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k4_xcmplx_0(1)) = k2_xcmplx_0(k1_xcmplx_0,2) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r2_cr1r2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,2),k2_xcmplx_0(k1_xcmplx_0,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1r2_crn1d2r0_crn1d2r2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,2),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__cr1r3_crn1d2r0_crn1d2r3,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,3),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),3) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1r0_rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k1_xcmplx_0) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1rm1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_crm1r0_cr2rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_crn1d2r0_crn1d2rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_rm1_cr1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k4_xcmplx_0(1)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1rn1d2_crn1d2r0_crn1d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rn1d2_rn1d2_cr1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)),k7_xcmplx_0(1,2)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1rn1d2_rnm1d2_cr1r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rn3d2_crn1d2r0_crn1d2rn3d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(3,2)),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rnm1d2_cr1rnm1d2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr1rnm1d2_crm1r0_cr2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rnm1d2_crm1rn1d2_cr2rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__cr1rnm1d2_rnm1d2_cr1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__cr24r0_crm1r0_cr25r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(24,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(25,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr256r0_cr1r0_cr255r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(256,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(255,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr256r0_crm1r0_cr257r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(256,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(257,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr257r0_cr1r0_cr256r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(257,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(256,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr257r0_crm1r0_cr258r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(257,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(258,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr258r0_crm1r0_cr259r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(258,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(259,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr1r0_cr1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k1_xcmplx_0) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr2r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr2rm2_r2,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2))) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_crm1r0_cr3r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_crm2r0_cr4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_crn1d2r0_crn3d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_r1_cr2rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_r2_cr2rm2,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),2) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_rn1d2_cr2rnm1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(1,2)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_rnm1d2_cr2rn1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__cr2rm2_cr2r0_rm2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)),k3_xcmplx_0(2,k1_xcmplx_0)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__cr2rm2_cr2rm2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)),k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr2rnm1d2_rn1d2_cr2rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k7_xcmplx_0(1,2)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_cr1r0_cr2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_cr3r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_crm1r0_cr4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_crm3r0_cr6r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(6,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_r1_cr3rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__cr3r0_r3_cr3rm3,axiom,( k6_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),3) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__cr3rm3_cr3r0_rm3,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)),k3_xcmplx_0(3,k1_xcmplx_0)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__cr3rm3_cr3rm3_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)),k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__cr4r0_cr1r0_cr3r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(4,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr4r0_crm1r0_cr5r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(4,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(5,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr5r0_cr1r0_cr4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(5,k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr5r0_crm1r0_cr6r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(5,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(6,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__cr6r0_crm1r0_cr7r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(6,k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(7,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm12r0_cr1r0_crm13r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm12r0_crm1r0_crm11r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(11),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm13r0_crm1r0_crm12r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm14r0_crnm1d2r0_crnm27d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(14),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr12r0_crm13r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(12,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr1r0_crm2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr256r0_crm257r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(256,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(257),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr27r0_crm28r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(27,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(28),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr2r0_crm3r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr3r0_crm4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr4r0_crm5r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(5),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr54r0_crm55r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(54,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(55),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r1_rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1rm1_r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1))) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm2r0_cr1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm3r0_cr2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm4r0_cr3r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm54r0_cr53r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(54),k1_xcmplx_0)) = k3_xcmplx_0(53,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm8r0_cr7r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0)) = k3_xcmplx_0(7,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crn1d2r0_crnm3d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crn27d2r0_crnm29d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crn3d2r0_crnm5d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crnm1d2r0_crnm1d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crnm1d4r0_crnm3d4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crnm27d2r0_crn25d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(25,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crnm3d2r0_crn1d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r0_crm1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),0) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r1_crm1rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r2_crm1rm2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r3_crm1rm3,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),3) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm1_crm1r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm2_crm1r2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm4_crm1r4,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(4)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),4) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rn1d2_crm1rnm1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rn3d2_crm1rnm3d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(3,2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rnm1d2_crm1rn1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r0_crm2r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r1_crm2r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k2_xcmplx_0(k1_xcmplx_0,1)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r0_r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crnm1d2r0_crnm1d2r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_r0_crm1r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_r1_crm1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),1) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_rm1_crm1r2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__crm1r2_crm1r2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_cr1r0_crm2rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1r0_rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1rm1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crnm1d2r0_crnm1d2rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm1_crm1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),k4_xcmplx_0(1)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rm2_crnm1d2r0_crnm1d2rm2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(2)),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rm3_crnm1d2r0_crnm1d2rm3,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(3)),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rn1d2_crm1rn1d2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm1rn1d2_crnm1d2r0_crnm1d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rn1d2_rn1d2_crm1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)),k7_xcmplx_0(1,2)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rn1d2_rnm1d2_crm1r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rnm1d2_crnm1d2r0_crnm1d2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crm1rnm1d2_rnm1d2_crm1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm256r0_cr1r0_crm257r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(257),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm256r0_crm1r0_crm255r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(255),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm257r0_crm1r0_crm256r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(257),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm27r0_crm1r0_crm26r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(27),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(26),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm28r0_crm1r0_crm27r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(28),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(27),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_cr1r0_crm3r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_cr2r0_crm4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_crm1r0_crm1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_crm2r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_crnm1d2r0_crnm3d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_rm1_crm2r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_rm2_crm2r2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r1_crm2r1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm2r1_rm1_crm2r2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__crm2r2_crm2r2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm2rm1_crm2r0_rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crm2rm1_rm1_crm2r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)),k4_xcmplx_0(1)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_cr1r0_crm4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_cr3r0_crm6r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_crm1r0_crm2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_crm2r0_crm1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_crm3r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm3r0_rm3_crm3r3,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k4_xcmplx_0(3)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3) )).
fof(rqRealDiff__k6_xcmplx_0__crm3r3_crm3r3_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crm4r0_cr1r0_crm5r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(5),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm4r0_crm1r0_crm3r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm5r0_cr1r0_crm6r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(5),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm5r0_crm1r0_crm4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(5),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crm6r0_cr1r0_crm7r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(7),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_cr14r0_crnm27d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(14,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_cr1r0_crnm1d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_cr2r0_crnm3d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crm1r0_crn3d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crn1d2r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crn1d2rm1_r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1))) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crn27d2r0_crm13r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crn3d2r0_crm1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crnm1d2r0_cr1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crnm27d2r0_cr14r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0)) = k3_xcmplx_0(14,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_crnm3d2r0_cr2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_r1_crn1d2rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_r2_crn1d2rm2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),2) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_r3_crn1d2rm3,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),3) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_rm1_crn1d2r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_rn1d2_crn1d2rnm1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_rn3d2_crn1d2rnm3d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r0_rnm1d2_crn1d2rn1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r1_crn1d2r0_r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r1_crn1d2r1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2r1_r1_crn1d2r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1),1) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rm1_crn1d2r0_rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rm1_crn1d2rm1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_cr1r0_crnm1d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_cr1r1_crnm1d2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k1_xcmplx_0,1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_cr1rm1_crnm1d2rn3d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_crm1r0_crn3d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_crm1r1_crn3d2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_crn1d2rn1d2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_crn1d2rnm1d2_r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_crnm1d2rn1d2_cr1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_r0_crn1d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_r1_crn1d2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rn1d2_rm1_crn1d2rn3d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rnm1d2_crm1r1_crn3d2rnm3d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rnm1d2_crn1d2rn1d2_rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rnm1d2_crn1d2rnm1d2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d2rnm1d2_crnm1d2rn1d2_cr1rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d3r0_crn1d3r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn1d4r0_cr1r0_crnm3d4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn1d4r0_crn1d2r0_crnm1d4r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn27d2r0_cr1r0_crn25d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(25,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn27d2r0_crn1d2r0_cr13r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(13,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn27d2r0_r1_crn27d2rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crn2d3r0_crn2d3r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn3d2r0_cr1r0_crn1d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn3d2r0_crm1r0_crn5d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(5,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn3d2r0_crn1d2r0_cr1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__crn3d2r0_crn3d2r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crn3d2r0_crnm1d2r0_cr2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crn3d2r0_r1_crn3d2rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crn3d2r0_rm1_crn3d2r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_cr1r0_crnm3d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crm14r0_crn27d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(14),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crm1r0_crn1d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crm2r0_crn3d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crn1d2r0_crm1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crn27d2r0_crm14r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(14),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crn3d2r0_crm2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crnm1d2r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crnm1d2r1_rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crnm27d2r0_cr13r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0)) = k3_xcmplx_0(13,k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_crnm3d2r0_cr1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_r0_crnm1d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_r1_crnm1d2rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_r2_crnm1d2rm2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),2) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_r3_crnm1d2rm3,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),3) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_rm1_crnm1d2r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_rn1d2_crnm1d2rnm1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r0_rnm1d2_crnm1d2rn1d2,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r1_crnm1d2r0_r1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2r1_crnm1d2r1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rm1_crnm1d2r0_rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rm1_crnm1d2rm1_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_cr1r0_crnm3d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_cr1r1_crnm3d2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k1_xcmplx_0,1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_crm1r0_crn1d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_crm1r1_crn1d2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_crn1d2rn1d2_crm1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_crnm1d2rn1d2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_r0_crnm1d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_r1_crnm1d2rnm1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rn1d2_rm1_crnm1d2rn3d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rnm1d2_cr1rm1_crnm3d2rn1d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rnm1d2_crm1r1_crn1d2rnm3d2,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rnm1d2_crn1d2rn1d2_crm1rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rnm1d2_crn1d2rnm1d2_crm1r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rnm1d2_crnm1d2rn1d2_rm1,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d2rnm1d2_crnm1d2rnm1d2_r0,axiom,( k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm1d3r0_crnm1d3r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm27d2r0_crm1r0_crnm25d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm27d2r0_crnm1d2r0_crm13r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm27d2r0_rm1_crnm27d2r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__crnm2d3r0_crnm2d3r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm3d2r0_cr1r0_crnm5d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm3d2r0_crm1r0_crnm1d2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm3d2r0_crn1d2r0_crm2r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm3d2r0_crnm1d2r0_crm1r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__crnm3d2r0_crnm3d2r0_r0,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__crnm3d2r0_r1_crnm3d2rm1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__crnm3d2r0_rm1_crnm3d2r1,axiom,( k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k4_xcmplx_0(1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r0_cr1r0_crm1r0,axiom,( k6_xcmplx_0(0,k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__r0_crm1r0_cr1r0,axiom,( k6_xcmplx_0(0,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__r0_crn1d2r0_crnm1d2r0,axiom,( k6_xcmplx_0(0,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__r0_crnm1d2r0_crn1d2r0,axiom,( k6_xcmplx_0(0,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0,axiom,( k6_xcmplx_0(0,0) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r0_r100_rm100,axiom,( k6_xcmplx_0(0,100) = k4_xcmplx_0(100) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r10_rm10,axiom,( k6_xcmplx_0(0,10) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r11_rm11,axiom,( k6_xcmplx_0(0,11) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r120_rm120,axiom,( k6_xcmplx_0(0,120) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r121_rm121,axiom,( k6_xcmplx_0(0,121) = k4_xcmplx_0(121) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r123_rm123,axiom,( k6_xcmplx_0(0,123) = k4_xcmplx_0(123) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r128_rm128,axiom,( k6_xcmplx_0(0,128) = k4_xcmplx_0(128) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r12_rm12,axiom,( k6_xcmplx_0(0,12) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r136_rm136,axiom,( k6_xcmplx_0(0,136) = k4_xcmplx_0(136) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13,axiom,( k6_xcmplx_0(0,13) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r14_rm14,axiom,( k6_xcmplx_0(0,14) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r159_rm159,axiom,( k6_xcmplx_0(0,159) = k4_xcmplx_0(159) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r15_rm15,axiom,( k6_xcmplx_0(0,15) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r164_rm164,axiom,( k6_xcmplx_0(0,164) = k4_xcmplx_0(164) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r16_rm16,axiom,( k6_xcmplx_0(0,16) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r172_rm172,axiom,( k6_xcmplx_0(0,172) = k4_xcmplx_0(172) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r17_rm17,axiom,( k6_xcmplx_0(0,17) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r18_rm18,axiom,( k6_xcmplx_0(0,18) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r197_rm197,axiom,( k6_xcmplx_0(0,197) = k4_xcmplx_0(197) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r19_rm19,axiom,( k6_xcmplx_0(0,19) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1,axiom,( k6_xcmplx_0(0,1) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r20_rm20,axiom,( k6_xcmplx_0(0,20) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r21_rm21,axiom,( k6_xcmplx_0(0,21) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r225_rm225,axiom,( k6_xcmplx_0(0,225) = k4_xcmplx_0(225) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r22_rm22,axiom,( k6_xcmplx_0(0,22) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r23_rm23,axiom,( k6_xcmplx_0(0,23) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r241_rm241,axiom,( k6_xcmplx_0(0,241) = k4_xcmplx_0(241) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r249_rm249,axiom,( k6_xcmplx_0(0,249) = k4_xcmplx_0(249) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r24_rm24,axiom,( k6_xcmplx_0(0,24) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r255_rm255,axiom,( k6_xcmplx_0(0,255) = k4_xcmplx_0(255) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r256_rm256,axiom,( k6_xcmplx_0(0,256) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r257_rm257,axiom,( k6_xcmplx_0(0,257) = k4_xcmplx_0(257) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r25_rm25,axiom,( k6_xcmplx_0(0,25) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r263_rm263,axiom,( k6_xcmplx_0(0,263) = k4_xcmplx_0(263) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r26_rm26,axiom,( k6_xcmplx_0(0,26) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r27_rm27,axiom,( k6_xcmplx_0(0,27) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r282_rm282,axiom,( k6_xcmplx_0(0,282) = k4_xcmplx_0(282) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r289_rm289,axiom,( k6_xcmplx_0(0,289) = k4_xcmplx_0(289) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r28_rm28,axiom,( k6_xcmplx_0(0,28) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r29_rm29,axiom,( k6_xcmplx_0(0,29) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2,axiom,( k6_xcmplx_0(0,2) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r30_rm30,axiom,( k6_xcmplx_0(0,30) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r31_rm31,axiom,( k6_xcmplx_0(0,31) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r325_rm325,axiom,( k6_xcmplx_0(0,325) = k4_xcmplx_0(325) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r32_rm32,axiom,( k6_xcmplx_0(0,32) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r332_rm332,axiom,( k6_xcmplx_0(0,332) = k4_xcmplx_0(332) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r33_rm33,axiom,( k6_xcmplx_0(0,33) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r342_rm342,axiom,( k6_xcmplx_0(0,342) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r343_rm343,axiom,( k6_xcmplx_0(0,343) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r344_rm344,axiom,( k6_xcmplx_0(0,344) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r345_rm345,axiom,( k6_xcmplx_0(0,345) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r346_rm346,axiom,( k6_xcmplx_0(0,346) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r347_rm347,axiom,( k6_xcmplx_0(0,347) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r348_rm348,axiom,( k6_xcmplx_0(0,348) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r349_rm349,axiom,( k6_xcmplx_0(0,349) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r34_rm34,axiom,( k6_xcmplx_0(0,34) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r350_rm350,axiom,( k6_xcmplx_0(0,350) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r351_rm351,axiom,( k6_xcmplx_0(0,351) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r352_rm352,axiom,( k6_xcmplx_0(0,352) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r353_rm353,axiom,( k6_xcmplx_0(0,353) = k4_xcmplx_0(353) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r354_rm354,axiom,( k6_xcmplx_0(0,354) = k4_xcmplx_0(354) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r355_rm355,axiom,( k6_xcmplx_0(0,355) = k4_xcmplx_0(355) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r356_rm356,axiom,( k6_xcmplx_0(0,356) = k4_xcmplx_0(356) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r357_rm357,axiom,( k6_xcmplx_0(0,357) = k4_xcmplx_0(357) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r358_rm358,axiom,( k6_xcmplx_0(0,358) = k4_xcmplx_0(358) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r359_rm359,axiom,( k6_xcmplx_0(0,359) = k4_xcmplx_0(359) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r35_rm35,axiom,( k6_xcmplx_0(0,35) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r360_rm360,axiom,( k6_xcmplx_0(0,360) = k4_xcmplx_0(360) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r361_rm361,axiom,( k6_xcmplx_0(0,361) = k4_xcmplx_0(361) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r362_rm362,axiom,( k6_xcmplx_0(0,362) = k4_xcmplx_0(362) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r363_rm363,axiom,( k6_xcmplx_0(0,363) = k4_xcmplx_0(363) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r364_rm364,axiom,( k6_xcmplx_0(0,364) = k4_xcmplx_0(364) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r365_rm365,axiom,( k6_xcmplx_0(0,365) = k4_xcmplx_0(365) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r36_rm36,axiom,( k6_xcmplx_0(0,36) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r37_rm37,axiom,( k6_xcmplx_0(0,37) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r38_rm38,axiom,( k6_xcmplx_0(0,38) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r39_rm39,axiom,( k6_xcmplx_0(0,39) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3,axiom,( k6_xcmplx_0(0,3) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r40_rm40,axiom,( k6_xcmplx_0(0,40) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r41_rm41,axiom,( k6_xcmplx_0(0,41) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r42_rm42,axiom,( k6_xcmplx_0(0,42) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r43_rm43,axiom,( k6_xcmplx_0(0,43) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r44_rm44,axiom,( k6_xcmplx_0(0,44) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r45_rm45,axiom,( k6_xcmplx_0(0,45) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r46_rm46,axiom,( k6_xcmplx_0(0,46) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r47_rm47,axiom,( k6_xcmplx_0(0,47) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r48_rm48,axiom,( k6_xcmplx_0(0,48) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r49_rm49,axiom,( k6_xcmplx_0(0,49) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r4_rm4,axiom,( k6_xcmplx_0(0,4) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r503_rm503,axiom,( k6_xcmplx_0(0,503) = k4_xcmplx_0(503) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r50_rm50,axiom,( k6_xcmplx_0(0,50) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r51_rm51,axiom,( k6_xcmplx_0(0,51) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r52_rm52,axiom,( k6_xcmplx_0(0,52) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r53_rm53,axiom,( k6_xcmplx_0(0,53) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r54_rm54,axiom,( k6_xcmplx_0(0,54) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r55_rm55,axiom,( k6_xcmplx_0(0,55) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r56_rm56,axiom,( k6_xcmplx_0(0,56) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r57_rm57,axiom,( k6_xcmplx_0(0,57) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r58_rm58,axiom,( k6_xcmplx_0(0,58) = k4_xcmplx_0(58) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r59_rm59,axiom,( k6_xcmplx_0(0,59) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r5_rm5,axiom,( k6_xcmplx_0(0,5) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r60_rm60,axiom,( k6_xcmplx_0(0,60) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r61_rm61,axiom,( k6_xcmplx_0(0,61) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r62_rm62,axiom,( k6_xcmplx_0(0,62) = k4_xcmplx_0(62) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r63_rm63,axiom,( k6_xcmplx_0(0,63) = k4_xcmplx_0(63) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r64_rm64,axiom,( k6_xcmplx_0(0,64) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r656_rm656,axiom,( k6_xcmplx_0(0,656) = k4_xcmplx_0(656) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r673_rm673,axiom,( k6_xcmplx_0(0,673) = k4_xcmplx_0(673) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r6_rm6,axiom,( k6_xcmplx_0(0,6) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r70_rm70,axiom,( k6_xcmplx_0(0,70) = k4_xcmplx_0(70) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r71_rm71,axiom,( k6_xcmplx_0(0,71) = k4_xcmplx_0(71) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r72_rm72,axiom,( k6_xcmplx_0(0,72) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r7_rm7,axiom,( k6_xcmplx_0(0,7) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r800_rm800,axiom,( k6_xcmplx_0(0,800) = k4_xcmplx_0(800) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r809_rm809,axiom,( k6_xcmplx_0(0,809) = k4_xcmplx_0(809) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r81_rm81,axiom,( k6_xcmplx_0(0,81) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r83_rm83,axiom,( k6_xcmplx_0(0,83) = k4_xcmplx_0(83) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r84_rm84,axiom,( k6_xcmplx_0(0,84) = k4_xcmplx_0(84) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r8_rm8,axiom,( k6_xcmplx_0(0,8) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r97_rm97,axiom,( k6_xcmplx_0(0,97) = k4_xcmplx_0(97) )).
fof(rqRealDiff__k6_xcmplx_0__r0_r9_rm9,axiom,( k6_xcmplx_0(0,9) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm12_r12,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(12)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm16_r16,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(16)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm18_r18,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(18)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(1)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm23_r23,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(23)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm24_r24,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(24)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(2)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm30_r30,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(30)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm36_r36,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(36)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(3)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm42_r42,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(42)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm4_r4,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(4)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm5_r5,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(5)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm6_r6,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(6)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm7_r7,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(7)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm8_r8,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(8)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rm9_r9,axiom,( k6_xcmplx_0(0,k4_xcmplx_0(9)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn159d100_rnm159d100,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(159),100) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn159d200_rnm159d200,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(159,200)) = k7_xcmplx_0(k4_xcmplx_0(159),200) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn15d32_rnm15d32,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(15,32)) = k7_xcmplx_0(k4_xcmplx_0(15),32) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d100_rnm1d100,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,100)) = k7_xcmplx_0(k4_xcmplx_0(1),100) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d12_rnm1d12,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,12)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d16_rnm1d16,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d18_rnm1d18,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d24_rnm1d24,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),24) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d256_rnm1d256,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,256)) = k7_xcmplx_0(k4_xcmplx_0(1),256) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d27_rnm1d27,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d6_rnm1d6,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d7_rnm1d7,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,7)) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d8_rnm1d8,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d9_rnm1d9,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn25d36_rnm25d36,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(25,36)) = k7_xcmplx_0(k4_xcmplx_0(25),36) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn25d4_rnm25d4,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(25,4)) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn29d36_rnm29d36,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(29,36)) = k7_xcmplx_0(k4_xcmplx_0(29),36) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn343d729_rnm343d729,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(343,729)) = k7_xcmplx_0(k4_xcmplx_0(343),729) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d5_rnm3d5,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(3,5)) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn49d729_rnm49d729,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(49,729)) = k7_xcmplx_0(k4_xcmplx_0(49),729) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn49d81_rnm49d81,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(49,81)) = k7_xcmplx_0(k4_xcmplx_0(49),81) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn4d9_rnm4d9,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn5d2_rnm5d2,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn5d4_rnm5d4,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn5d6_rnm5d6,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(5,6)) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn7d2_rnm7d2,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn7d9_rnm7d9,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(7),9) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn8d27_rnm8d27,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(8,27)) = k7_xcmplx_0(k4_xcmplx_0(8),27) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rn9d16_rnm9d16,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(9,16)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm159d100_rn159d100,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(159,100) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d6_rn1d6,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d9_rn1d9,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(1,9) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d4_rn3d4,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm7d27_rn7d27,axiom,( k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(7,27) )).
fof(rqRealDiff__k6_xcmplx_0__r100_r100_r0,axiom,( k6_xcmplx_0(100,100) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r100_r1_r99,axiom,( k6_xcmplx_0(100,1) = 99 )).
fof(rqRealDiff__k6_xcmplx_0__r100_r2_r98,axiom,( k6_xcmplx_0(100,2) = 98 )).
fof(rqRealDiff__k6_xcmplx_0__r100_r3_r97,axiom,( k6_xcmplx_0(100,3) = 97 )).
fof(rqRealDiff__k6_xcmplx_0__r100_rn1d2_rn199d2,axiom,( k6_xcmplx_0(100,k7_xcmplx_0(1,2)) = k7_xcmplx_0(199,2) )).
fof(rqRealDiff__k6_xcmplx_0__r106_r11_r95,axiom,( k6_xcmplx_0(106,11) = 95 )).
fof(rqRealDiff__k6_xcmplx_0__r106_r1_r105,axiom,( k6_xcmplx_0(106,1) = 105 )).
fof(rqRealDiff__k6_xcmplx_0__r106_r3_r103,axiom,( k6_xcmplx_0(106,3) = 103 )).
fof(rqRealDiff__k6_xcmplx_0__r107_r110_rm3,axiom,( k6_xcmplx_0(107,110) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r108_r108_r0,axiom,( k6_xcmplx_0(108,108) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r126_rm18,axiom,( k6_xcmplx_0(108,126) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r108_r1_r107,axiom,( k6_xcmplx_0(108,1) = 107 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r203_rm95,axiom,( k6_xcmplx_0(108,203) = k4_xcmplx_0(95) )).
fof(rqRealDiff__k6_xcmplx_0__r108_r21_r87,axiom,( k6_xcmplx_0(108,21) = 87 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r252_rm144,axiom,( k6_xcmplx_0(108,252) = k4_xcmplx_0(144) )).
fof(rqRealDiff__k6_xcmplx_0__r108_r36_r72,axiom,( k6_xcmplx_0(108,36) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r414_rm306,axiom,( k6_xcmplx_0(108,414) = k4_xcmplx_0(306) )).
fof(rqRealDiff__k6_xcmplx_0__r108_r4_r104,axiom,( k6_xcmplx_0(108,4) = 104 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r54_r54,axiom,( k6_xcmplx_0(108,54) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r57_r51,axiom,( k6_xcmplx_0(108,57) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r5_r103,axiom,( k6_xcmplx_0(108,5) = 103 )).
fof(rqRealDiff__k6_xcmplx_0__r108_r72_r36,axiom,( k6_xcmplx_0(108,72) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r0_r10,axiom,( k6_xcmplx_0(10,0) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r100_rm90,axiom,( k6_xcmplx_0(10,100) = k4_xcmplx_0(90) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r10_r0,axiom,( k6_xcmplx_0(10,10) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r11_rm1,axiom,( k6_xcmplx_0(10,11) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r12_rm2,axiom,( k6_xcmplx_0(10,12) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r13_rm3,axiom,( k6_xcmplx_0(10,13) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r14_rm4,axiom,( k6_xcmplx_0(10,14) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r15_rm5,axiom,( k6_xcmplx_0(10,15) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r16_rm6,axiom,( k6_xcmplx_0(10,16) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r17_rm7,axiom,( k6_xcmplx_0(10,17) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r18_rm8,axiom,( k6_xcmplx_0(10,18) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r19_rm9,axiom,( k6_xcmplx_0(10,19) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r1_r9,axiom,( k6_xcmplx_0(10,1) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r20_rm10,axiom,( k6_xcmplx_0(10,20) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r21_rm11,axiom,( k6_xcmplx_0(10,21) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r22_rm12,axiom,( k6_xcmplx_0(10,22) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r23_rm13,axiom,( k6_xcmplx_0(10,23) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r24_rm14,axiom,( k6_xcmplx_0(10,24) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r256_rm246,axiom,( k6_xcmplx_0(10,256) = k4_xcmplx_0(246) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r25_rm15,axiom,( k6_xcmplx_0(10,25) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r26_rm16,axiom,( k6_xcmplx_0(10,26) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r27_rm17,axiom,( k6_xcmplx_0(10,27) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r28_rm18,axiom,( k6_xcmplx_0(10,28) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r29_rm19,axiom,( k6_xcmplx_0(10,29) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r2_r8,axiom,( k6_xcmplx_0(10,2) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r30_rm20,axiom,( k6_xcmplx_0(10,30) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r31_rm21,axiom,( k6_xcmplx_0(10,31) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r32_rm22,axiom,( k6_xcmplx_0(10,32) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r33_rm23,axiom,( k6_xcmplx_0(10,33) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r34_rm24,axiom,( k6_xcmplx_0(10,34) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r35_rm25,axiom,( k6_xcmplx_0(10,35) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r36_rm26,axiom,( k6_xcmplx_0(10,36) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r37_rm27,axiom,( k6_xcmplx_0(10,37) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r38_rm28,axiom,( k6_xcmplx_0(10,38) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r39_rm29,axiom,( k6_xcmplx_0(10,39) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r3_r7,axiom,( k6_xcmplx_0(10,3) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r400_rm390,axiom,( k6_xcmplx_0(10,400) = k4_xcmplx_0(390) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r40_rm30,axiom,( k6_xcmplx_0(10,40) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r41_rm31,axiom,( k6_xcmplx_0(10,41) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r42_rm32,axiom,( k6_xcmplx_0(10,42) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r43_rm33,axiom,( k6_xcmplx_0(10,43) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r44_rm34,axiom,( k6_xcmplx_0(10,44) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r45_rm35,axiom,( k6_xcmplx_0(10,45) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r46_rm36,axiom,( k6_xcmplx_0(10,46) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r47_rm37,axiom,( k6_xcmplx_0(10,47) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r48_rm38,axiom,( k6_xcmplx_0(10,48) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r49_rm39,axiom,( k6_xcmplx_0(10,49) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r4_r6,axiom,( k6_xcmplx_0(10,4) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r50_rm40,axiom,( k6_xcmplx_0(10,50) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r51_rm41,axiom,( k6_xcmplx_0(10,51) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r52_rm42,axiom,( k6_xcmplx_0(10,52) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r53_rm43,axiom,( k6_xcmplx_0(10,53) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r54_rm44,axiom,( k6_xcmplx_0(10,54) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r55_rm45,axiom,( k6_xcmplx_0(10,55) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r56_rm46,axiom,( k6_xcmplx_0(10,56) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r57_rm47,axiom,( k6_xcmplx_0(10,57) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r58_rm48,axiom,( k6_xcmplx_0(10,58) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r59_rm49,axiom,( k6_xcmplx_0(10,59) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r5_r5,axiom,( k6_xcmplx_0(10,5) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r60_rm50,axiom,( k6_xcmplx_0(10,60) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r61_rm51,axiom,( k6_xcmplx_0(10,61) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r62_rm52,axiom,( k6_xcmplx_0(10,62) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r63_rm53,axiom,( k6_xcmplx_0(10,63) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r6_r4,axiom,( k6_xcmplx_0(10,6) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r70_rm60,axiom,( k6_xcmplx_0(10,70) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r73_rm63,axiom,( k6_xcmplx_0(10,73) = k4_xcmplx_0(63) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r7_r3,axiom,( k6_xcmplx_0(10,7) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r80_rm70,axiom,( k6_xcmplx_0(10,80) = k4_xcmplx_0(70) )).
fof(rqRealDiff__k6_xcmplx_0__r10_r8_r2,axiom,( k6_xcmplx_0(10,8) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r10_r9_r1,axiom,( k6_xcmplx_0(10,9) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm100_r110,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(100)) = 110 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm10_r20,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(10)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm18_r28,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(18)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm1_r11,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(1)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm2_r12,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(2)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm3_r13,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(3)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm5_r15,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(5)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rm9_r19,axiom,( k6_xcmplx_0(10,k4_xcmplx_0(9)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn13d2_rn7d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(13,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn15d2_rn5d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(15,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn1d2_rn19d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(1,2)) = k7_xcmplx_0(19,2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn1d8_rn79d8,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(1,8)) = k7_xcmplx_0(79,8) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn2d5_rn48d5,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(2,5)) = k7_xcmplx_0(48,5) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn35d3_rnm5d3,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn3d2_rn17d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(3,2)) = k7_xcmplx_0(17,2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn5d16_rn155d16,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(5,16)) = k7_xcmplx_0(155,16) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rn9d2_rn11d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(9,2)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rnm15d2_rn35d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(15),2)) = k7_xcmplx_0(35,2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rnm1d2_rn21d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__r10_rnm9d2_rn29d2,axiom,( k6_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(29,2) )).
fof(rqRealDiff__k6_xcmplx_0__r110_r110_r0,axiom,( k6_xcmplx_0(110,110) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r110_r128_rm18,axiom,( k6_xcmplx_0(110,128) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r110_r12_r98,axiom,( k6_xcmplx_0(110,12) = 98 )).
fof(rqRealDiff__k6_xcmplx_0__r110_r169_rm59,axiom,( k6_xcmplx_0(110,169) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r110_r17_r93,axiom,( k6_xcmplx_0(110,17) = 93 )).
fof(rqRealDiff__k6_xcmplx_0__r110_r256_rm146,axiom,( k6_xcmplx_0(110,256) = k4_xcmplx_0(146) )).
fof(rqRealDiff__k6_xcmplx_0__r110_r32_r78,axiom,( k6_xcmplx_0(110,32) = 78 )).
fof(rqRealDiff__k6_xcmplx_0__r110_r3_r107,axiom,( k6_xcmplx_0(110,3) = 107 )).
fof(rqRealDiff__k6_xcmplx_0__r110_r446_rm336,axiom,( k6_xcmplx_0(110,446) = k4_xcmplx_0(336) )).
fof(rqRealDiff__k6_xcmplx_0__r110_r64_r46,axiom,( k6_xcmplx_0(110,64) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r110_rm110_r220,axiom,( k6_xcmplx_0(110,k4_xcmplx_0(110)) = 220 )).
fof(rqRealDiff__k6_xcmplx_0__r110_rm169_r279,axiom,( k6_xcmplx_0(110,k4_xcmplx_0(169)) = 279 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r111_r0,axiom,( k6_xcmplx_0(111,111) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r112_rm1,axiom,( k6_xcmplx_0(111,112) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r111_r12_r99,axiom,( k6_xcmplx_0(111,12) = 99 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r16_r95,axiom,( k6_xcmplx_0(111,16) = 95 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r1_r110,axiom,( k6_xcmplx_0(111,1) = 110 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r27_r84,axiom,( k6_xcmplx_0(111,27) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r28_r83,axiom,( k6_xcmplx_0(111,28) = 83 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r2_r109,axiom,( k6_xcmplx_0(111,2) = 109 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r36_r75,axiom,( k6_xcmplx_0(111,36) = 75 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r3_r108,axiom,( k6_xcmplx_0(111,3) = 108 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r48_r63,axiom,( k6_xcmplx_0(111,48) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r64_r47,axiom,( k6_xcmplx_0(111,64) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r111_r84_r27,axiom,( k6_xcmplx_0(111,84) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r111_r1,axiom,( k6_xcmplx_0(112,111) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r112_r0,axiom,( k6_xcmplx_0(112,112) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r12_r100,axiom,( k6_xcmplx_0(112,12) = 100 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r14_r98,axiom,( k6_xcmplx_0(112,14) = 98 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r16_r96,axiom,( k6_xcmplx_0(112,16) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r1_r111,axiom,( k6_xcmplx_0(112,1) = 111 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r27_r85,axiom,( k6_xcmplx_0(112,27) = 85 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r28_r84,axiom,( k6_xcmplx_0(112,28) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r2_r110,axiom,( k6_xcmplx_0(112,2) = 110 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r36_r76,axiom,( k6_xcmplx_0(112,36) = 76 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r3_r109,axiom,( k6_xcmplx_0(112,3) = 109 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r48_r64,axiom,( k6_xcmplx_0(112,48) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r64_r48,axiom,( k6_xcmplx_0(112,64) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r7_r105,axiom,( k6_xcmplx_0(112,7) = 105 )).
fof(rqRealDiff__k6_xcmplx_0__r112_r84_r28,axiom,( k6_xcmplx_0(112,84) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r116_r121_rm5,axiom,( k6_xcmplx_0(116,121) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r119_r0_r119,axiom,( k6_xcmplx_0(119,0) = 119 )).
fof(rqRealDiff__k6_xcmplx_0__r119_r119_r0,axiom,( k6_xcmplx_0(119,119) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r119_r121_rm2,axiom,( k6_xcmplx_0(119,121) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r119_r128_rm9,axiom,( k6_xcmplx_0(119,128) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r119_r17_r102,axiom,( k6_xcmplx_0(119,17) = 102 )).
fof(rqRealDiff__k6_xcmplx_0__r119_r1_r118,axiom,( k6_xcmplx_0(119,1) = 118 )).
fof(rqRealDiff__k6_xcmplx_0__r119_r256_rm137,axiom,( k6_xcmplx_0(119,256) = k4_xcmplx_0(137) )).
fof(rqRealDiff__k6_xcmplx_0__r119_r30_r89,axiom,( k6_xcmplx_0(119,30) = 89 )).
fof(rqRealDiff__k6_xcmplx_0__r119_r357_rm238,axiom,( k6_xcmplx_0(119,357) = k4_xcmplx_0(238) )).
fof(rqRealDiff__k6_xcmplx_0__r119_r3_r116,axiom,( k6_xcmplx_0(119,3) = 116 )).
fof(rqRealDiff__k6_xcmplx_0__r119_r430_rm311,axiom,( k6_xcmplx_0(119,430) = k4_xcmplx_0(311) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r0_r11,axiom,( k6_xcmplx_0(11,0) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r100_rm89,axiom,( k6_xcmplx_0(11,100) = k4_xcmplx_0(89) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r10_r1,axiom,( k6_xcmplx_0(11,10) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r11_r0,axiom,( k6_xcmplx_0(11,11) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r12_rm1,axiom,( k6_xcmplx_0(11,12) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r13_rm2,axiom,( k6_xcmplx_0(11,13) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r14_rm3,axiom,( k6_xcmplx_0(11,14) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r15_rm4,axiom,( k6_xcmplx_0(11,15) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r16_rm5,axiom,( k6_xcmplx_0(11,16) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r17_rm6,axiom,( k6_xcmplx_0(11,17) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r18_rm7,axiom,( k6_xcmplx_0(11,18) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r19_rm8,axiom,( k6_xcmplx_0(11,19) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r1_r10,axiom,( k6_xcmplx_0(11,1) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r20_rm9,axiom,( k6_xcmplx_0(11,20) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r21_rm10,axiom,( k6_xcmplx_0(11,21) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r22_rm11,axiom,( k6_xcmplx_0(11,22) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r23_rm12,axiom,( k6_xcmplx_0(11,23) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r24_rm13,axiom,( k6_xcmplx_0(11,24) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r25_rm14,axiom,( k6_xcmplx_0(11,25) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r26_rm15,axiom,( k6_xcmplx_0(11,26) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r27_rm16,axiom,( k6_xcmplx_0(11,27) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r28_rm17,axiom,( k6_xcmplx_0(11,28) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r29_rm18,axiom,( k6_xcmplx_0(11,29) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r2_r9,axiom,( k6_xcmplx_0(11,2) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r30_rm19,axiom,( k6_xcmplx_0(11,30) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r31_rm20,axiom,( k6_xcmplx_0(11,31) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r32_rm21,axiom,( k6_xcmplx_0(11,32) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r33_rm22,axiom,( k6_xcmplx_0(11,33) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r342_rm331,axiom,( k6_xcmplx_0(11,342) = k4_xcmplx_0(331) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r343_rm332,axiom,( k6_xcmplx_0(11,343) = k4_xcmplx_0(332) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r344_rm333,axiom,( k6_xcmplx_0(11,344) = k4_xcmplx_0(333) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r345_rm334,axiom,( k6_xcmplx_0(11,345) = k4_xcmplx_0(334) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r346_rm335,axiom,( k6_xcmplx_0(11,346) = k4_xcmplx_0(335) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r347_rm336,axiom,( k6_xcmplx_0(11,347) = k4_xcmplx_0(336) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r348_rm337,axiom,( k6_xcmplx_0(11,348) = k4_xcmplx_0(337) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r349_rm338,axiom,( k6_xcmplx_0(11,349) = k4_xcmplx_0(338) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r34_rm23,axiom,( k6_xcmplx_0(11,34) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r350_rm339,axiom,( k6_xcmplx_0(11,350) = k4_xcmplx_0(339) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r351_rm340,axiom,( k6_xcmplx_0(11,351) = k4_xcmplx_0(340) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r352_rm341,axiom,( k6_xcmplx_0(11,352) = k4_xcmplx_0(341) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r353_rm342,axiom,( k6_xcmplx_0(11,353) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r354_rm343,axiom,( k6_xcmplx_0(11,354) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r355_rm344,axiom,( k6_xcmplx_0(11,355) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r356_rm345,axiom,( k6_xcmplx_0(11,356) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r357_rm346,axiom,( k6_xcmplx_0(11,357) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r358_rm347,axiom,( k6_xcmplx_0(11,358) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r359_rm348,axiom,( k6_xcmplx_0(11,359) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r35_rm24,axiom,( k6_xcmplx_0(11,35) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r360_rm349,axiom,( k6_xcmplx_0(11,360) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r361_rm350,axiom,( k6_xcmplx_0(11,361) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r362_rm351,axiom,( k6_xcmplx_0(11,362) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r363_rm352,axiom,( k6_xcmplx_0(11,363) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r364_rm353,axiom,( k6_xcmplx_0(11,364) = k4_xcmplx_0(353) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r36_rm25,axiom,( k6_xcmplx_0(11,36) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r37_rm26,axiom,( k6_xcmplx_0(11,37) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r38_rm27,axiom,( k6_xcmplx_0(11,38) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r39_rm28,axiom,( k6_xcmplx_0(11,39) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r3_r8,axiom,( k6_xcmplx_0(11,3) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r40_rm29,axiom,( k6_xcmplx_0(11,40) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r41_rm30,axiom,( k6_xcmplx_0(11,41) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r42_rm31,axiom,( k6_xcmplx_0(11,42) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r43_rm32,axiom,( k6_xcmplx_0(11,43) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r44_rm33,axiom,( k6_xcmplx_0(11,44) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r45_rm34,axiom,( k6_xcmplx_0(11,45) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r46_rm35,axiom,( k6_xcmplx_0(11,46) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r47_rm36,axiom,( k6_xcmplx_0(11,47) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r48_rm37,axiom,( k6_xcmplx_0(11,48) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r49_rm38,axiom,( k6_xcmplx_0(11,49) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r4_r7,axiom,( k6_xcmplx_0(11,4) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r50_rm39,axiom,( k6_xcmplx_0(11,50) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r51_rm40,axiom,( k6_xcmplx_0(11,51) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r52_rm41,axiom,( k6_xcmplx_0(11,52) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r53_rm42,axiom,( k6_xcmplx_0(11,53) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r54_rm43,axiom,( k6_xcmplx_0(11,54) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r55_rm44,axiom,( k6_xcmplx_0(11,55) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r56_rm45,axiom,( k6_xcmplx_0(11,56) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r57_rm46,axiom,( k6_xcmplx_0(11,57) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r58_rm47,axiom,( k6_xcmplx_0(11,58) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r59_rm48,axiom,( k6_xcmplx_0(11,59) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r5_r6,axiom,( k6_xcmplx_0(11,5) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r60_rm49,axiom,( k6_xcmplx_0(11,60) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r61_rm50,axiom,( k6_xcmplx_0(11,61) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r62_rm51,axiom,( k6_xcmplx_0(11,62) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r63_rm52,axiom,( k6_xcmplx_0(11,63) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r6_r5,axiom,( k6_xcmplx_0(11,6) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r7_r4,axiom,( k6_xcmplx_0(11,7) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r8_r3,axiom,( k6_xcmplx_0(11,8) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r11_r99_rm88,axiom,( k6_xcmplx_0(11,99) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__r11_r9_r2,axiom,( k6_xcmplx_0(11,9) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm100_r111,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(100)) = 111 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm18_r29,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(18)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm1_r12,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(1)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm2_r13,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(2)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm3_r14,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(3)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm4_r15,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(4)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm99_r110,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(99)) = 110 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rm9_r20,axiom,( k6_xcmplx_0(11,k4_xcmplx_0(9)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r11_rn1d3_rn32d3,axiom,( k6_xcmplx_0(11,k7_xcmplx_0(1,3)) = k7_xcmplx_0(32,3) )).
fof(rqRealDiff__k6_xcmplx_0__r11_rn35d3_rnm2d3,axiom,( k6_xcmplx_0(11,k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r10_r110,axiom,( k6_xcmplx_0(120,10) = 110 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r119_r1,axiom,( k6_xcmplx_0(120,119) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r120_r0,axiom,( k6_xcmplx_0(120,120) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r121_rm1,axiom,( k6_xcmplx_0(120,121) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r128_rm8,axiom,( k6_xcmplx_0(120,128) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r16_r104,axiom,( k6_xcmplx_0(120,16) = 104 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r1_r119,axiom,( k6_xcmplx_0(120,1) = 119 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r236_rm116,axiom,( k6_xcmplx_0(120,236) = k4_xcmplx_0(116) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r242_rm122,axiom,( k6_xcmplx_0(120,242) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r24_r96,axiom,( k6_xcmplx_0(120,24) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r256_rm136,axiom,( k6_xcmplx_0(120,256) = k4_xcmplx_0(136) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r2_r118,axiom,( k6_xcmplx_0(120,2) = 118 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r30_r90,axiom,( k6_xcmplx_0(120,30) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r315_rm195,axiom,( k6_xcmplx_0(120,315) = k4_xcmplx_0(195) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r3_r117,axiom,( k6_xcmplx_0(120,3) = 117 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r4_r116,axiom,( k6_xcmplx_0(120,4) = 116 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r5_r115,axiom,( k6_xcmplx_0(120,5) = 115 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r6_r114,axiom,( k6_xcmplx_0(120,6) = 114 )).
fof(rqRealDiff__k6_xcmplx_0__r120_r720_rm600,axiom,( k6_xcmplx_0(120,720) = k4_xcmplx_0(600) )).
fof(rqRealDiff__k6_xcmplx_0__r120_r96_r24,axiom,( k6_xcmplx_0(120,96) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r120_rm121_r241,axiom,( k6_xcmplx_0(120,k4_xcmplx_0(121)) = 241 )).
fof(rqRealDiff__k6_xcmplx_0__r120_rm4_r124,axiom,( k6_xcmplx_0(120,k4_xcmplx_0(4)) = 124 )).
fof(rqRealDiff__k6_xcmplx_0__r120_rn1d2_rn239d2,axiom,( k6_xcmplx_0(120,k7_xcmplx_0(1,2)) = k7_xcmplx_0(239,2) )).
fof(rqRealDiff__k6_xcmplx_0__r120_rn241d2_rnm1d2,axiom,( k6_xcmplx_0(120,k7_xcmplx_0(241,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r120_rn243d2_rnm3d2,axiom,( k6_xcmplx_0(120,k7_xcmplx_0(243,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__r120_rnm1d2_rn241d2,axiom,( k6_xcmplx_0(120,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(241,2) )).
fof(rqRealDiff__k6_xcmplx_0__r121_r1_r120,axiom,( k6_xcmplx_0(121,1) = 120 )).
fof(rqRealDiff__k6_xcmplx_0__r121_r32_r89,axiom,( k6_xcmplx_0(121,32) = 89 )).
fof(rqRealDiff__k6_xcmplx_0__r121_r8_r113,axiom,( k6_xcmplx_0(121,8) = 113 )).
fof(rqRealDiff__k6_xcmplx_0__r121_rm1_r122,axiom,( k6_xcmplx_0(121,k4_xcmplx_0(1)) = 122 )).
fof(rqRealDiff__k6_xcmplx_0__r123_r14_r109,axiom,( k6_xcmplx_0(123,14) = 109 )).
fof(rqRealDiff__k6_xcmplx_0__r123_r164_rm41,axiom,( k6_xcmplx_0(123,164) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r123_r172_rm49,axiom,( k6_xcmplx_0(123,172) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r123_r1_r122,axiom,( k6_xcmplx_0(123,1) = 122 )).
fof(rqRealDiff__k6_xcmplx_0__r123_r241_rm118,axiom,( k6_xcmplx_0(123,241) = k4_xcmplx_0(118) )).
fof(rqRealDiff__k6_xcmplx_0__r123_r256_rm133,axiom,( k6_xcmplx_0(123,256) = k4_xcmplx_0(133) )).
fof(rqRealDiff__k6_xcmplx_0__r123_r263_rm140,axiom,( k6_xcmplx_0(123,263) = k4_xcmplx_0(140) )).
fof(rqRealDiff__k6_xcmplx_0__r123_r2_r121,axiom,( k6_xcmplx_0(123,2) = 121 )).
fof(rqRealDiff__k6_xcmplx_0__r123_r325_rm202,axiom,( k6_xcmplx_0(123,325) = k4_xcmplx_0(202) )).
fof(rqRealDiff__k6_xcmplx_0__r123_r32_r91,axiom,( k6_xcmplx_0(123,32) = 91 )).
fof(rqRealDiff__k6_xcmplx_0__r123_r332_rm209,axiom,( k6_xcmplx_0(123,332) = k4_xcmplx_0(209) )).
fof(rqRealDiff__k6_xcmplx_0__r123_r3_r120,axiom,( k6_xcmplx_0(123,3) = 120 )).
fof(rqRealDiff__k6_xcmplx_0__r123_r4_r119,axiom,( k6_xcmplx_0(123,4) = 119 )).
fof(rqRealDiff__k6_xcmplx_0__r123_r503_rm380,axiom,( k6_xcmplx_0(123,503) = k4_xcmplx_0(380) )).
fof(rqRealDiff__k6_xcmplx_0__r124_rn1d2_rn247d2,axiom,( k6_xcmplx_0(124,k7_xcmplx_0(1,2)) = k7_xcmplx_0(247,2) )).
fof(rqRealDiff__k6_xcmplx_0__r124_rn243d2_rn5d2,axiom,( k6_xcmplx_0(124,k7_xcmplx_0(243,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r126_r126_r0,axiom,( k6_xcmplx_0(126,126) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r126_r18_r108,axiom,( k6_xcmplx_0(126,18) = 108 )).
fof(rqRealDiff__k6_xcmplx_0__r126_r1_r125,axiom,( k6_xcmplx_0(126,1) = 125 )).
fof(rqRealDiff__k6_xcmplx_0__r126_r216_rm90,axiom,( k6_xcmplx_0(126,216) = k4_xcmplx_0(90) )).
fof(rqRealDiff__k6_xcmplx_0__r126_r57_r69,axiom,( k6_xcmplx_0(126,57) = 69 )).
fof(rqRealDiff__k6_xcmplx_0__r126_r5_r121,axiom,( k6_xcmplx_0(126,5) = 121 )).
fof(rqRealDiff__k6_xcmplx_0__r126_r72_r54,axiom,( k6_xcmplx_0(126,72) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r127_r256_rm129,axiom,( k6_xcmplx_0(127,256) = k4_xcmplx_0(129) )).
fof(rqRealDiff__k6_xcmplx_0__r127_rm1_r128,axiom,( k6_xcmplx_0(127,k4_xcmplx_0(1)) = 128 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r0_r128,axiom,( k6_xcmplx_0(128,0) = 128 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r120_r8,axiom,( k6_xcmplx_0(128,120) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r121_r7,axiom,( k6_xcmplx_0(128,121) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r128_r0,axiom,( k6_xcmplx_0(128,128) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r1_r127,axiom,( k6_xcmplx_0(128,1) = 127 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r256_rm128,axiom,( k6_xcmplx_0(128,256) = k4_xcmplx_0(128) )).
fof(rqRealDiff__k6_xcmplx_0__r128_r2_r126,axiom,( k6_xcmplx_0(128,2) = 126 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r32_r96,axiom,( k6_xcmplx_0(128,32) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r3_r125,axiom,( k6_xcmplx_0(128,3) = 125 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r4_r124,axiom,( k6_xcmplx_0(128,4) = 124 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r5_r123,axiom,( k6_xcmplx_0(128,5) = 123 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r640_rm512,axiom,( k6_xcmplx_0(128,640) = k4_xcmplx_0(512) )).
fof(rqRealDiff__k6_xcmplx_0__r128_r64_r64,axiom,( k6_xcmplx_0(128,64) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r6_r122,axiom,( k6_xcmplx_0(128,6) = 122 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r7_r121,axiom,( k6_xcmplx_0(128,7) = 121 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r8_r120,axiom,( k6_xcmplx_0(128,8) = 120 )).
fof(rqRealDiff__k6_xcmplx_0__r128_r96_r32,axiom,( k6_xcmplx_0(128,96) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r128_rm1_r129,axiom,( k6_xcmplx_0(128,k4_xcmplx_0(1)) = 129 )).
fof(rqRealDiff__k6_xcmplx_0__r129_r128_r1,axiom,( k6_xcmplx_0(129,128) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r129_r1_r128,axiom,( k6_xcmplx_0(129,1) = 128 )).
fof(rqRealDiff__k6_xcmplx_0__r129_r32_r97,axiom,( k6_xcmplx_0(129,32) = 97 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12,axiom,( k6_xcmplx_0(12,0) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r100_rm88,axiom,( k6_xcmplx_0(12,100) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r10_r2,axiom,( k6_xcmplx_0(12,10) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r111_rm99,axiom,( k6_xcmplx_0(12,111) = k4_xcmplx_0(99) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r112_rm100,axiom,( k6_xcmplx_0(12,112) = k4_xcmplx_0(100) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r11_r1,axiom,( k6_xcmplx_0(12,11) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r120_rm108,axiom,( k6_xcmplx_0(12,120) = k4_xcmplx_0(108) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0,axiom,( k6_xcmplx_0(12,12) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r13_rm1,axiom,( k6_xcmplx_0(12,13) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r14_rm2,axiom,( k6_xcmplx_0(12,14) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r15_rm3,axiom,( k6_xcmplx_0(12,15) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r16_rm4,axiom,( k6_xcmplx_0(12,16) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r17_rm5,axiom,( k6_xcmplx_0(12,17) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r18_rm6,axiom,( k6_xcmplx_0(12,18) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r19_rm7,axiom,( k6_xcmplx_0(12,19) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r1_r11,axiom,( k6_xcmplx_0(12,1) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r20_rm8,axiom,( k6_xcmplx_0(12,20) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r21_rm9,axiom,( k6_xcmplx_0(12,21) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r22_rm10,axiom,( k6_xcmplx_0(12,22) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r23_rm11,axiom,( k6_xcmplx_0(12,23) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r24_rm12,axiom,( k6_xcmplx_0(12,24) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r25_rm13,axiom,( k6_xcmplx_0(12,25) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r26_rm14,axiom,( k6_xcmplx_0(12,26) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r27_rm15,axiom,( k6_xcmplx_0(12,27) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r28_rm16,axiom,( k6_xcmplx_0(12,28) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r29_rm17,axiom,( k6_xcmplx_0(12,29) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r2_r10,axiom,( k6_xcmplx_0(12,2) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r30_rm18,axiom,( k6_xcmplx_0(12,30) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r31_rm19,axiom,( k6_xcmplx_0(12,31) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r32_rm20,axiom,( k6_xcmplx_0(12,32) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r33_rm21,axiom,( k6_xcmplx_0(12,33) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r342_rm330,axiom,( k6_xcmplx_0(12,342) = k4_xcmplx_0(330) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r343_rm331,axiom,( k6_xcmplx_0(12,343) = k4_xcmplx_0(331) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r344_rm332,axiom,( k6_xcmplx_0(12,344) = k4_xcmplx_0(332) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r345_rm333,axiom,( k6_xcmplx_0(12,345) = k4_xcmplx_0(333) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r346_rm334,axiom,( k6_xcmplx_0(12,346) = k4_xcmplx_0(334) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r347_rm335,axiom,( k6_xcmplx_0(12,347) = k4_xcmplx_0(335) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r348_rm336,axiom,( k6_xcmplx_0(12,348) = k4_xcmplx_0(336) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r349_rm337,axiom,( k6_xcmplx_0(12,349) = k4_xcmplx_0(337) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r34_rm22,axiom,( k6_xcmplx_0(12,34) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r350_rm338,axiom,( k6_xcmplx_0(12,350) = k4_xcmplx_0(338) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r351_rm339,axiom,( k6_xcmplx_0(12,351) = k4_xcmplx_0(339) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r352_rm340,axiom,( k6_xcmplx_0(12,352) = k4_xcmplx_0(340) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r353_rm341,axiom,( k6_xcmplx_0(12,353) = k4_xcmplx_0(341) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r354_rm342,axiom,( k6_xcmplx_0(12,354) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r355_rm343,axiom,( k6_xcmplx_0(12,355) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r356_rm344,axiom,( k6_xcmplx_0(12,356) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r357_rm345,axiom,( k6_xcmplx_0(12,357) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r358_rm346,axiom,( k6_xcmplx_0(12,358) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r359_rm347,axiom,( k6_xcmplx_0(12,359) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r35_rm23,axiom,( k6_xcmplx_0(12,35) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r360_rm348,axiom,( k6_xcmplx_0(12,360) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r361_rm349,axiom,( k6_xcmplx_0(12,361) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r362_rm350,axiom,( k6_xcmplx_0(12,362) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r363_rm351,axiom,( k6_xcmplx_0(12,363) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r364_rm352,axiom,( k6_xcmplx_0(12,364) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r36_rm24,axiom,( k6_xcmplx_0(12,36) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r37_rm25,axiom,( k6_xcmplx_0(12,37) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r38_rm26,axiom,( k6_xcmplx_0(12,38) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r39_rm27,axiom,( k6_xcmplx_0(12,39) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r3_r9,axiom,( k6_xcmplx_0(12,3) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r40_rm28,axiom,( k6_xcmplx_0(12,40) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r41_rm29,axiom,( k6_xcmplx_0(12,41) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r42_rm30,axiom,( k6_xcmplx_0(12,42) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r43_rm31,axiom,( k6_xcmplx_0(12,43) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r44_rm32,axiom,( k6_xcmplx_0(12,44) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r45_rm33,axiom,( k6_xcmplx_0(12,45) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r46_rm34,axiom,( k6_xcmplx_0(12,46) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r47_rm35,axiom,( k6_xcmplx_0(12,47) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r48_rm36,axiom,( k6_xcmplx_0(12,48) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r49_rm37,axiom,( k6_xcmplx_0(12,49) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r4_r8,axiom,( k6_xcmplx_0(12,4) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r50_rm38,axiom,( k6_xcmplx_0(12,50) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r51_rm39,axiom,( k6_xcmplx_0(12,51) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r52_rm40,axiom,( k6_xcmplx_0(12,52) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r53_rm41,axiom,( k6_xcmplx_0(12,53) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r54_rm42,axiom,( k6_xcmplx_0(12,54) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r55_rm43,axiom,( k6_xcmplx_0(12,55) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r56_rm44,axiom,( k6_xcmplx_0(12,56) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r57_rm45,axiom,( k6_xcmplx_0(12,57) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r58_rm46,axiom,( k6_xcmplx_0(12,58) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r59_rm47,axiom,( k6_xcmplx_0(12,59) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r5_r7,axiom,( k6_xcmplx_0(12,5) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r60_rm48,axiom,( k6_xcmplx_0(12,60) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r61_rm49,axiom,( k6_xcmplx_0(12,61) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r62_rm50,axiom,( k6_xcmplx_0(12,62) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r63_rm51,axiom,( k6_xcmplx_0(12,63) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r64_rm52,axiom,( k6_xcmplx_0(12,64) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r6_r6,axiom,( k6_xcmplx_0(12,6) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r73_rm61,axiom,( k6_xcmplx_0(12,73) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r7_r5,axiom,( k6_xcmplx_0(12,7) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r84_rm72,axiom,( k6_xcmplx_0(12,84) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r89_rm77,axiom,( k6_xcmplx_0(12,89) = k4_xcmplx_0(77) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r8_r4,axiom,( k6_xcmplx_0(12,8) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r12_r90_rm78,axiom,( k6_xcmplx_0(12,90) = k4_xcmplx_0(78) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r91_rm79,axiom,( k6_xcmplx_0(12,91) = k4_xcmplx_0(79) )).
fof(rqRealDiff__k6_xcmplx_0__r12_r9_r3,axiom,( k6_xcmplx_0(12,9) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm12_r24,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(12)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm18_r30,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(18)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm1_r13,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(1)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm24_r36,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(24)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm27_r39,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(27)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm2_r14,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(2)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm30_r42,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(30)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm36_r48,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(36)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm3_r15,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(3)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm42_r54,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(42)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm48_r60,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(48)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm4_r16,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(4)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm5_r17,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(5)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm6_r18,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(6)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm8_r20,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(8)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rm9_r21,axiom,( k6_xcmplx_0(12,k4_xcmplx_0(9)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn12d5_rn48d5,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(12,5)) = k7_xcmplx_0(48,5) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn1d3_rn35d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(1,3)) = k7_xcmplx_0(35,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn1d6_rn71d6,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(1,6)) = k7_xcmplx_0(71,6) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn21d2_rn3d2,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(21,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn245d18_rnm29d18,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(245,18)) = k7_xcmplx_0(k4_xcmplx_0(29),18) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn28d3_rn8d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(28,3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn2d3_rn34d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(2,3)) = k7_xcmplx_0(34,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn2d5_rn58d5,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(2,5)) = k7_xcmplx_0(58,5) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn34d3_rn2d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(34,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn35d3_rn1d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(35,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn36d5_rn24d5,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(36,5)) = k7_xcmplx_0(24,5) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn37d3_rnm1d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(37,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn72d5_rnm12d5,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(72,5)) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn8d3_rn28d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(8,3)) = k7_xcmplx_0(28,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rn98d9_rn10d9,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(98,9)) = k7_xcmplx_0(10,9) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rnm1d3_rn37d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(37,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rnm21d2_rn45d2,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(45,2) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rnm2d3_rn38d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(38,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rnm35d3_rn71d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(35),3)) = k7_xcmplx_0(71,3) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rnm7d18_rn223d18,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(223,18) )).
fof(rqRealDiff__k6_xcmplx_0__r12_rnm8d3_rn44d3,axiom,( k6_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(44,3) )).
fof(rqRealDiff__k6_xcmplx_0__r130_r1_r129,axiom,( k6_xcmplx_0(130,1) = 129 )).
fof(rqRealDiff__k6_xcmplx_0__r135_r256_rm121,axiom,( k6_xcmplx_0(135,256) = k4_xcmplx_0(121) )).
fof(rqRealDiff__k6_xcmplx_0__r136_r1_r135,axiom,( k6_xcmplx_0(136,1) = 135 )).
fof(rqRealDiff__k6_xcmplx_0__r136_r256_rm120,axiom,( k6_xcmplx_0(136,256) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__r136_r25_r111,axiom,( k6_xcmplx_0(136,25) = 111 )).
fof(rqRealDiff__k6_xcmplx_0__r136_r2_r134,axiom,( k6_xcmplx_0(136,2) = 134 )).
fof(rqRealDiff__k6_xcmplx_0__r136_r3_r133,axiom,( k6_xcmplx_0(136,3) = 133 )).
fof(rqRealDiff__k6_xcmplx_0__r136_r4_r132,axiom,( k6_xcmplx_0(136,4) = 132 )).
fof(rqRealDiff__k6_xcmplx_0__r136_r8_r128,axiom,( k6_xcmplx_0(136,8) = 128 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13,axiom,( k6_xcmplx_0(13,0) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r10_r3,axiom,( k6_xcmplx_0(13,10) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r11_r2,axiom,( k6_xcmplx_0(13,11) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1,axiom,( k6_xcmplx_0(13,12) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0,axiom,( k6_xcmplx_0(13,13) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r14_rm1,axiom,( k6_xcmplx_0(13,14) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r15_rm2,axiom,( k6_xcmplx_0(13,15) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r169_rm156,axiom,( k6_xcmplx_0(13,169) = k4_xcmplx_0(156) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r16_rm3,axiom,( k6_xcmplx_0(13,16) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r17_rm4,axiom,( k6_xcmplx_0(13,17) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r183_rm170,axiom,( k6_xcmplx_0(13,183) = k4_xcmplx_0(170) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r18_rm5,axiom,( k6_xcmplx_0(13,18) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r19_rm6,axiom,( k6_xcmplx_0(13,19) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12,axiom,( k6_xcmplx_0(13,1) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r20_rm7,axiom,( k6_xcmplx_0(13,20) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r21_rm8,axiom,( k6_xcmplx_0(13,21) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r22_rm9,axiom,( k6_xcmplx_0(13,22) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r23_rm10,axiom,( k6_xcmplx_0(13,23) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r24_rm11,axiom,( k6_xcmplx_0(13,24) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r256_rm243,axiom,( k6_xcmplx_0(13,256) = k4_xcmplx_0(243) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r25_rm12,axiom,( k6_xcmplx_0(13,25) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r26_rm13,axiom,( k6_xcmplx_0(13,26) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r27_rm14,axiom,( k6_xcmplx_0(13,27) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r28_rm15,axiom,( k6_xcmplx_0(13,28) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r29_rm16,axiom,( k6_xcmplx_0(13,29) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r2_r11,axiom,( k6_xcmplx_0(13,2) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r30_rm17,axiom,( k6_xcmplx_0(13,30) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r31_rm18,axiom,( k6_xcmplx_0(13,31) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r32_rm19,axiom,( k6_xcmplx_0(13,32) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r33_rm20,axiom,( k6_xcmplx_0(13,33) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r34_rm21,axiom,( k6_xcmplx_0(13,34) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r35_rm22,axiom,( k6_xcmplx_0(13,35) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r36_rm23,axiom,( k6_xcmplx_0(13,36) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r37_rm24,axiom,( k6_xcmplx_0(13,37) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r38_rm25,axiom,( k6_xcmplx_0(13,38) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r39_rm26,axiom,( k6_xcmplx_0(13,39) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r3_r10,axiom,( k6_xcmplx_0(13,3) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r40_rm27,axiom,( k6_xcmplx_0(13,40) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r41_rm28,axiom,( k6_xcmplx_0(13,41) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r42_rm29,axiom,( k6_xcmplx_0(13,42) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r43_rm30,axiom,( k6_xcmplx_0(13,43) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r44_rm31,axiom,( k6_xcmplx_0(13,44) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r45_rm32,axiom,( k6_xcmplx_0(13,45) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r46_rm33,axiom,( k6_xcmplx_0(13,46) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r47_rm34,axiom,( k6_xcmplx_0(13,47) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r48_rm35,axiom,( k6_xcmplx_0(13,48) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r49_rm36,axiom,( k6_xcmplx_0(13,49) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r4_r9,axiom,( k6_xcmplx_0(13,4) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r50_rm37,axiom,( k6_xcmplx_0(13,50) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r51_rm38,axiom,( k6_xcmplx_0(13,51) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r52_rm39,axiom,( k6_xcmplx_0(13,52) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r53_rm40,axiom,( k6_xcmplx_0(13,53) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r54_rm41,axiom,( k6_xcmplx_0(13,54) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r55_rm42,axiom,( k6_xcmplx_0(13,55) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r56_rm43,axiom,( k6_xcmplx_0(13,56) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r57_rm44,axiom,( k6_xcmplx_0(13,57) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r58_rm45,axiom,( k6_xcmplx_0(13,58) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r59_rm46,axiom,( k6_xcmplx_0(13,59) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r5_r8,axiom,( k6_xcmplx_0(13,5) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r60_rm47,axiom,( k6_xcmplx_0(13,60) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r61_rm48,axiom,( k6_xcmplx_0(13,61) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r62_rm49,axiom,( k6_xcmplx_0(13,62) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r63_rm50,axiom,( k6_xcmplx_0(13,63) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r6_r7,axiom,( k6_xcmplx_0(13,6) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r7_r6,axiom,( k6_xcmplx_0(13,7) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r8_r5,axiom,( k6_xcmplx_0(13,8) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r13_r91_rm78,axiom,( k6_xcmplx_0(13,91) = k4_xcmplx_0(78) )).
fof(rqRealDiff__k6_xcmplx_0__r13_r9_r4,axiom,( k6_xcmplx_0(13,9) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r13_rm13_r26,axiom,( k6_xcmplx_0(13,k4_xcmplx_0(13)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r13_rm169_r182,axiom,( k6_xcmplx_0(13,k4_xcmplx_0(169)) = 182 )).
fof(rqRealDiff__k6_xcmplx_0__r13_rm18_r31,axiom,( k6_xcmplx_0(13,k4_xcmplx_0(18)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r13_rm2_r15,axiom,( k6_xcmplx_0(13,k4_xcmplx_0(2)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r13_rn21d2_rn5d2,axiom,( k6_xcmplx_0(13,k7_xcmplx_0(21,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r13_rn245d18_rnm11d18,axiom,( k6_xcmplx_0(13,k7_xcmplx_0(245,18)) = k7_xcmplx_0(k4_xcmplx_0(11),18) )).
fof(rqRealDiff__k6_xcmplx_0__r13_rnm2d3_rn41d3,axiom,( k6_xcmplx_0(13,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(41,3) )).
fof(rqRealDiff__k6_xcmplx_0__r13_rnm7d18_rn241d18,axiom,( k6_xcmplx_0(13,k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(241,18) )).
fof(rqRealDiff__k6_xcmplx_0__r144_r126_r18,axiom,( k6_xcmplx_0(144,126) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r144_r144_r0,axiom,( k6_xcmplx_0(144,144) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r144_r18_r126,axiom,( k6_xcmplx_0(144,18) = 126 )).
fof(rqRealDiff__k6_xcmplx_0__r144_r1_r143,axiom,( k6_xcmplx_0(144,1) = 143 )).
fof(rqRealDiff__k6_xcmplx_0__r144_r216_rm72,axiom,( k6_xcmplx_0(144,216) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__r144_r72_r72,axiom,( k6_xcmplx_0(144,72) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r0_r14,axiom,( k6_xcmplx_0(14,0) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r10_r4,axiom,( k6_xcmplx_0(14,10) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r112_rm98,axiom,( k6_xcmplx_0(14,112) = k4_xcmplx_0(98) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r11_r3,axiom,( k6_xcmplx_0(14,11) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r12_r2,axiom,( k6_xcmplx_0(14,12) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r13_r1,axiom,( k6_xcmplx_0(14,13) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r14_r0,axiom,( k6_xcmplx_0(14,14) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r15_rm1,axiom,( k6_xcmplx_0(14,15) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r16_rm2,axiom,( k6_xcmplx_0(14,16) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r17_rm3,axiom,( k6_xcmplx_0(14,17) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r18_rm4,axiom,( k6_xcmplx_0(14,18) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r19_rm5,axiom,( k6_xcmplx_0(14,19) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r1_r13,axiom,( k6_xcmplx_0(14,1) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r20_rm6,axiom,( k6_xcmplx_0(14,20) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r21_rm7,axiom,( k6_xcmplx_0(14,21) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r22_rm8,axiom,( k6_xcmplx_0(14,22) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r23_rm9,axiom,( k6_xcmplx_0(14,23) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r241_rm227,axiom,( k6_xcmplx_0(14,241) = k4_xcmplx_0(227) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r24_rm10,axiom,( k6_xcmplx_0(14,24) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r25_rm11,axiom,( k6_xcmplx_0(14,25) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r26_rm12,axiom,( k6_xcmplx_0(14,26) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r27_rm13,axiom,( k6_xcmplx_0(14,27) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r28_rm14,axiom,( k6_xcmplx_0(14,28) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r29_rm15,axiom,( k6_xcmplx_0(14,29) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r2_r12,axiom,( k6_xcmplx_0(14,2) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r30_rm16,axiom,( k6_xcmplx_0(14,30) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r31_rm17,axiom,( k6_xcmplx_0(14,31) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r325_rm311,axiom,( k6_xcmplx_0(14,325) = k4_xcmplx_0(311) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r32_rm18,axiom,( k6_xcmplx_0(14,32) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r33_rm19,axiom,( k6_xcmplx_0(14,33) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r34_rm20,axiom,( k6_xcmplx_0(14,34) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r35_rm21,axiom,( k6_xcmplx_0(14,35) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r36_rm22,axiom,( k6_xcmplx_0(14,36) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r37_rm23,axiom,( k6_xcmplx_0(14,37) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r38_rm24,axiom,( k6_xcmplx_0(14,38) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r39_rm25,axiom,( k6_xcmplx_0(14,39) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r3_r11,axiom,( k6_xcmplx_0(14,3) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r40_rm26,axiom,( k6_xcmplx_0(14,40) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r41_rm27,axiom,( k6_xcmplx_0(14,41) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r42_rm28,axiom,( k6_xcmplx_0(14,42) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r43_rm29,axiom,( k6_xcmplx_0(14,43) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r44_rm30,axiom,( k6_xcmplx_0(14,44) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r45_rm31,axiom,( k6_xcmplx_0(14,45) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r46_rm32,axiom,( k6_xcmplx_0(14,46) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r47_rm33,axiom,( k6_xcmplx_0(14,47) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r48_rm34,axiom,( k6_xcmplx_0(14,48) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r49_rm35,axiom,( k6_xcmplx_0(14,49) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r4_r10,axiom,( k6_xcmplx_0(14,4) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r50_rm36,axiom,( k6_xcmplx_0(14,50) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r51_rm37,axiom,( k6_xcmplx_0(14,51) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r52_rm38,axiom,( k6_xcmplx_0(14,52) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r53_rm39,axiom,( k6_xcmplx_0(14,53) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r54_rm40,axiom,( k6_xcmplx_0(14,54) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r55_rm41,axiom,( k6_xcmplx_0(14,55) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r56_rm42,axiom,( k6_xcmplx_0(14,56) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r57_rm43,axiom,( k6_xcmplx_0(14,57) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r58_rm44,axiom,( k6_xcmplx_0(14,58) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r59_rm45,axiom,( k6_xcmplx_0(14,59) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r5_r9,axiom,( k6_xcmplx_0(14,5) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r60_rm46,axiom,( k6_xcmplx_0(14,60) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r61_rm47,axiom,( k6_xcmplx_0(14,61) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r62_rm48,axiom,( k6_xcmplx_0(14,62) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r63_rm49,axiom,( k6_xcmplx_0(14,63) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r14_r6_r8,axiom,( k6_xcmplx_0(14,6) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r7_r7,axiom,( k6_xcmplx_0(14,7) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r8_r6,axiom,( k6_xcmplx_0(14,8) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r14_r9_r5,axiom,( k6_xcmplx_0(14,9) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r14_rm4_r18,axiom,( k6_xcmplx_0(14,k4_xcmplx_0(4)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn119d9_rn7d9,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(119,9)) = k7_xcmplx_0(7,9) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn133d18_rn119d18,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(133,18)) = k7_xcmplx_0(119,18) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn175d18_rn77d18,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(175,18)) = k7_xcmplx_0(77,18) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn1d2_rn27d2,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(1,2)) = k7_xcmplx_0(27,2) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn1d8_rn111d8,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(1,8)) = k7_xcmplx_0(111,8) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn21d2_rn7d2,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(21,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn245d18_rn7d18,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(245,18)) = k7_xcmplx_0(7,18) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn28d9_rn98d9,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(28,9)) = k7_xcmplx_0(98,9) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn77d6_rn7d6,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(77,6)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rn7d2_rn21d2,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(7,2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rnm21d2_rn49d2,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(49,2) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rnm259d18_rn511d18,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(k4_xcmplx_0(259),18)) = k7_xcmplx_0(511,18) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rnm7d18_rn259d18,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(259,18) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rnm7d2_rn35d2,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(35,2) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rnm7d6_rn91d6,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(k4_xcmplx_0(7),6)) = k7_xcmplx_0(91,6) )).
fof(rqRealDiff__k6_xcmplx_0__r14_rnm98d9_rn224d9,axiom,( k6_xcmplx_0(14,k7_xcmplx_0(k4_xcmplx_0(98),9)) = k7_xcmplx_0(224,9) )).
fof(rqRealDiff__k6_xcmplx_0__r151_r10_r141,axiom,( k6_xcmplx_0(151,10) = 141 )).
fof(rqRealDiff__k6_xcmplx_0__r151_r16_r135,axiom,( k6_xcmplx_0(151,16) = 135 )).
fof(rqRealDiff__k6_xcmplx_0__r151_r1_r150,axiom,( k6_xcmplx_0(151,1) = 150 )).
fof(rqRealDiff__k6_xcmplx_0__r151_r2_r149,axiom,( k6_xcmplx_0(151,2) = 149 )).
fof(rqRealDiff__k6_xcmplx_0__r151_r3_r148,axiom,( k6_xcmplx_0(151,3) = 148 )).
fof(rqRealDiff__k6_xcmplx_0__r151_r4_r147,axiom,( k6_xcmplx_0(151,4) = 147 )).
fof(rqRealDiff__k6_xcmplx_0__r151_r8_r143,axiom,( k6_xcmplx_0(151,8) = 143 )).
fof(rqRealDiff__k6_xcmplx_0__r151_rm151_r302,axiom,( k6_xcmplx_0(151,k4_xcmplx_0(151)) = 302 )).
fof(rqRealDiff__k6_xcmplx_0__r153_r153_r0,axiom,( k6_xcmplx_0(153,153) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r159_r100_r59,axiom,( k6_xcmplx_0(159,100) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r159_r1_r158,axiom,( k6_xcmplx_0(159,1) = 158 )).
fof(rqRealDiff__k6_xcmplx_0__r159_r3_r156,axiom,( k6_xcmplx_0(159,3) = 156 )).
fof(rqRealDiff__k6_xcmplx_0__r159_rn1d2_rn317d2,axiom,( k6_xcmplx_0(159,k7_xcmplx_0(1,2)) = k7_xcmplx_0(317,2) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r0_r15,axiom,( k6_xcmplx_0(15,0) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r10_r5,axiom,( k6_xcmplx_0(15,10) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r11_r4,axiom,( k6_xcmplx_0(15,11) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r12_r3,axiom,( k6_xcmplx_0(15,12) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r13_r2,axiom,( k6_xcmplx_0(15,13) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r14_r1,axiom,( k6_xcmplx_0(15,14) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r15_r0,axiom,( k6_xcmplx_0(15,15) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r16_rm1,axiom,( k6_xcmplx_0(15,16) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r17_rm2,axiom,( k6_xcmplx_0(15,17) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r18_rm3,axiom,( k6_xcmplx_0(15,18) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r19_rm4,axiom,( k6_xcmplx_0(15,19) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r1_r14,axiom,( k6_xcmplx_0(15,1) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r20_rm5,axiom,( k6_xcmplx_0(15,20) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r21_rm6,axiom,( k6_xcmplx_0(15,21) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r22_rm7,axiom,( k6_xcmplx_0(15,22) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r23_rm8,axiom,( k6_xcmplx_0(15,23) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r24_rm9,axiom,( k6_xcmplx_0(15,24) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r256_rm241,axiom,( k6_xcmplx_0(15,256) = k4_xcmplx_0(241) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r25_rm10,axiom,( k6_xcmplx_0(15,25) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r26_rm11,axiom,( k6_xcmplx_0(15,26) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r27_rm12,axiom,( k6_xcmplx_0(15,27) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r28_rm13,axiom,( k6_xcmplx_0(15,28) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r29_rm14,axiom,( k6_xcmplx_0(15,29) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r2_r13,axiom,( k6_xcmplx_0(15,2) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r30_rm15,axiom,( k6_xcmplx_0(15,30) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r31_rm16,axiom,( k6_xcmplx_0(15,31) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r32_rm17,axiom,( k6_xcmplx_0(15,32) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r33_rm18,axiom,( k6_xcmplx_0(15,33) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r34_rm19,axiom,( k6_xcmplx_0(15,34) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r35_rm20,axiom,( k6_xcmplx_0(15,35) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r36_rm21,axiom,( k6_xcmplx_0(15,36) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r37_rm22,axiom,( k6_xcmplx_0(15,37) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r38_rm23,axiom,( k6_xcmplx_0(15,38) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r39_rm24,axiom,( k6_xcmplx_0(15,39) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r3_r12,axiom,( k6_xcmplx_0(15,3) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r40_rm25,axiom,( k6_xcmplx_0(15,40) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r41_rm26,axiom,( k6_xcmplx_0(15,41) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r42_rm27,axiom,( k6_xcmplx_0(15,42) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r43_rm28,axiom,( k6_xcmplx_0(15,43) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r44_rm29,axiom,( k6_xcmplx_0(15,44) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r45_rm30,axiom,( k6_xcmplx_0(15,45) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r46_rm31,axiom,( k6_xcmplx_0(15,46) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r47_rm32,axiom,( k6_xcmplx_0(15,47) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r48_rm33,axiom,( k6_xcmplx_0(15,48) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r49_rm34,axiom,( k6_xcmplx_0(15,49) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r4_r11,axiom,( k6_xcmplx_0(15,4) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r50_rm35,axiom,( k6_xcmplx_0(15,50) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r51_rm36,axiom,( k6_xcmplx_0(15,51) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r52_rm37,axiom,( k6_xcmplx_0(15,52) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r53_rm38,axiom,( k6_xcmplx_0(15,53) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r54_rm39,axiom,( k6_xcmplx_0(15,54) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r55_rm40,axiom,( k6_xcmplx_0(15,55) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r56_rm41,axiom,( k6_xcmplx_0(15,56) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r57_rm42,axiom,( k6_xcmplx_0(15,57) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r58_rm43,axiom,( k6_xcmplx_0(15,58) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r59_rm44,axiom,( k6_xcmplx_0(15,59) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r5_r10,axiom,( k6_xcmplx_0(15,5) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r60_rm45,axiom,( k6_xcmplx_0(15,60) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r61_rm46,axiom,( k6_xcmplx_0(15,61) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r62_rm47,axiom,( k6_xcmplx_0(15,62) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r63_rm48,axiom,( k6_xcmplx_0(15,63) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r64_rm49,axiom,( k6_xcmplx_0(15,64) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r15_r6_r9,axiom,( k6_xcmplx_0(15,6) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r7_r8,axiom,( k6_xcmplx_0(15,7) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r8_r7,axiom,( k6_xcmplx_0(15,8) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r15_r9_r6,axiom,( k6_xcmplx_0(15,9) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r15_rm1_r16,axiom,( k6_xcmplx_0(15,k4_xcmplx_0(1)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r15_rm5_r20,axiom,( k6_xcmplx_0(15,k4_xcmplx_0(5)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r15_rm7_r22,axiom,( k6_xcmplx_0(15,k4_xcmplx_0(7)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r15_rm8_r23,axiom,( k6_xcmplx_0(15,k4_xcmplx_0(8)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r15_rnm1d2_rn31d2,axiom,( k6_xcmplx_0(15,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(31,2) )).
fof(rqRealDiff__k6_xcmplx_0__r160_r1_r159,axiom,( k6_xcmplx_0(160,1) = 159 )).
fof(rqRealDiff__k6_xcmplx_0__r161_r161_r0,axiom,( k6_xcmplx_0(161,161) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r162_r162_r0,axiom,( k6_xcmplx_0(162,162) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r162_r18_r144,axiom,( k6_xcmplx_0(162,18) = 144 )).
fof(rqRealDiff__k6_xcmplx_0__r162_r1_r161,axiom,( k6_xcmplx_0(162,1) = 161 )).
fof(rqRealDiff__k6_xcmplx_0__r162_r9_r153,axiom,( k6_xcmplx_0(162,9) = 153 )).
fof(rqRealDiff__k6_xcmplx_0__r164_r172_rm8,axiom,( k6_xcmplx_0(164,172) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r164_r263_rm99,axiom,( k6_xcmplx_0(164,263) = k4_xcmplx_0(99) )).
fof(rqRealDiff__k6_xcmplx_0__r164_r2_r162,axiom,( k6_xcmplx_0(164,2) = 162 )).
fof(rqRealDiff__k6_xcmplx_0__r164_r332_rm168,axiom,( k6_xcmplx_0(164,332) = k4_xcmplx_0(168) )).
fof(rqRealDiff__k6_xcmplx_0__r169_r110_r59,axiom,( k6_xcmplx_0(169,110) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r169_r13_r156,axiom,( k6_xcmplx_0(169,13) = 156 )).
fof(rqRealDiff__k6_xcmplx_0__r169_r256_rm87,axiom,( k6_xcmplx_0(169,256) = k4_xcmplx_0(87) )).
fof(rqRealDiff__k6_xcmplx_0__r169_r32_r137,axiom,( k6_xcmplx_0(169,32) = 137 )).
fof(rqRealDiff__k6_xcmplx_0__r169_r3_r166,axiom,( k6_xcmplx_0(169,3) = 166 )).
fof(rqRealDiff__k6_xcmplx_0__r169_r64_r105,axiom,( k6_xcmplx_0(169,64) = 105 )).
fof(rqRealDiff__k6_xcmplx_0__r169_rm13_r182,axiom,( k6_xcmplx_0(169,k4_xcmplx_0(13)) = 182 )).
fof(rqRealDiff__k6_xcmplx_0__r169_rm169_r338,axiom,( k6_xcmplx_0(169,k4_xcmplx_0(169)) = 338 )).
fof(rqRealDiff__k6_xcmplx_0__r16_cr1r0_crm1r16,axiom,( k6_xcmplx_0(16,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),16) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r0_r16,axiom,( k6_xcmplx_0(16,0) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r10_r6,axiom,( k6_xcmplx_0(16,10) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r11_r5,axiom,( k6_xcmplx_0(16,11) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r12_r4,axiom,( k6_xcmplx_0(16,12) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r13_r3,axiom,( k6_xcmplx_0(16,13) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r14_r2,axiom,( k6_xcmplx_0(16,14) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r15_r1,axiom,( k6_xcmplx_0(16,15) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r164_rm148,axiom,( k6_xcmplx_0(16,164) = k4_xcmplx_0(148) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r16_r0,axiom,( k6_xcmplx_0(16,16) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r17_rm1,axiom,( k6_xcmplx_0(16,17) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r18_rm2,axiom,( k6_xcmplx_0(16,18) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r192_rm176,axiom,( k6_xcmplx_0(16,192) = k4_xcmplx_0(176) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r19_rm3,axiom,( k6_xcmplx_0(16,19) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r1_r15,axiom,( k6_xcmplx_0(16,1) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r20_rm4,axiom,( k6_xcmplx_0(16,20) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r21_rm5,axiom,( k6_xcmplx_0(16,21) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r22_rm6,axiom,( k6_xcmplx_0(16,22) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r23_rm7,axiom,( k6_xcmplx_0(16,23) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r24_rm8,axiom,( k6_xcmplx_0(16,24) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r255_rm239,axiom,( k6_xcmplx_0(16,255) = k4_xcmplx_0(239) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r256_rm240,axiom,( k6_xcmplx_0(16,256) = k4_xcmplx_0(240) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r25_rm9,axiom,( k6_xcmplx_0(16,25) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r26_rm10,axiom,( k6_xcmplx_0(16,26) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r27_rm11,axiom,( k6_xcmplx_0(16,27) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r28_rm12,axiom,( k6_xcmplx_0(16,28) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r29_rm13,axiom,( k6_xcmplx_0(16,29) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r2_r14,axiom,( k6_xcmplx_0(16,2) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r30_rm14,axiom,( k6_xcmplx_0(16,30) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r315_rm299,axiom,( k6_xcmplx_0(16,315) = k4_xcmplx_0(299) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r31_rm15,axiom,( k6_xcmplx_0(16,31) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r32_rm16,axiom,( k6_xcmplx_0(16,32) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r332_rm316,axiom,( k6_xcmplx_0(16,332) = k4_xcmplx_0(316) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r33_rm17,axiom,( k6_xcmplx_0(16,33) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r34_rm18,axiom,( k6_xcmplx_0(16,34) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r35_rm19,axiom,( k6_xcmplx_0(16,35) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r36_rm20,axiom,( k6_xcmplx_0(16,36) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r37_rm21,axiom,( k6_xcmplx_0(16,37) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r38_rm22,axiom,( k6_xcmplx_0(16,38) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r39_rm23,axiom,( k6_xcmplx_0(16,39) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r3_r13,axiom,( k6_xcmplx_0(16,3) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r40_rm24,axiom,( k6_xcmplx_0(16,40) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r41_rm25,axiom,( k6_xcmplx_0(16,41) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r42_rm26,axiom,( k6_xcmplx_0(16,42) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r43_rm27,axiom,( k6_xcmplx_0(16,43) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r44_rm28,axiom,( k6_xcmplx_0(16,44) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r45_rm29,axiom,( k6_xcmplx_0(16,45) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r46_rm30,axiom,( k6_xcmplx_0(16,46) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r47_rm31,axiom,( k6_xcmplx_0(16,47) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r48_rm32,axiom,( k6_xcmplx_0(16,48) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r49_rm33,axiom,( k6_xcmplx_0(16,49) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r4_r12,axiom,( k6_xcmplx_0(16,4) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r50_rm34,axiom,( k6_xcmplx_0(16,50) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r51_rm35,axiom,( k6_xcmplx_0(16,51) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r52_rm36,axiom,( k6_xcmplx_0(16,52) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r53_rm37,axiom,( k6_xcmplx_0(16,53) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r54_rm38,axiom,( k6_xcmplx_0(16,54) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r55_rm39,axiom,( k6_xcmplx_0(16,55) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r56_rm40,axiom,( k6_xcmplx_0(16,56) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r57_rm41,axiom,( k6_xcmplx_0(16,57) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r58_rm42,axiom,( k6_xcmplx_0(16,58) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r59_rm43,axiom,( k6_xcmplx_0(16,59) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r5_r11,axiom,( k6_xcmplx_0(16,5) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r60_rm44,axiom,( k6_xcmplx_0(16,60) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r61_rm45,axiom,( k6_xcmplx_0(16,61) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r62_rm46,axiom,( k6_xcmplx_0(16,62) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r63_rm47,axiom,( k6_xcmplx_0(16,63) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r64_rm48,axiom,( k6_xcmplx_0(16,64) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r6_r10,axiom,( k6_xcmplx_0(16,6) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r720_rm704,axiom,( k6_xcmplx_0(16,720) = k4_xcmplx_0(704) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r7_r9,axiom,( k6_xcmplx_0(16,7) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r81_rm65,axiom,( k6_xcmplx_0(16,81) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r8_r8,axiom,( k6_xcmplx_0(16,8) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r16_r96_rm80,axiom,( k6_xcmplx_0(16,96) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__r16_r9_r7,axiom,( k6_xcmplx_0(16,9) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm11_r27,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(11)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm12_r28,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(12)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm16_r32,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(16)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm1_r17,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(1)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm20_r36,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(20)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm24_r40,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(24)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm2_r18,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(2)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm32_r48,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(32)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm36_r52,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(36)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm3_r19,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(3)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm48_r64,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(48)) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm4_r20,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(4)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm5_r21,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(5)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm8_r24,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(8)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rm9_r25,axiom,( k6_xcmplx_0(16,k4_xcmplx_0(9)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn111d4_rnm47d4,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(111,4)) = k7_xcmplx_0(k4_xcmplx_0(47),4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn1d16_rn255d16,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(1,16)) = k7_xcmplx_0(255,16) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn1d2_rn31d2,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(1,2)) = k7_xcmplx_0(31,2) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn1d3_rn47d3,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(1,3)) = k7_xcmplx_0(47,3) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn1d4_rn63d4,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(1,4)) = k7_xcmplx_0(63,4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn255d16_rn1d16,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(255,16)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn27d4_rn37d4,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(27,4)) = k7_xcmplx_0(37,4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn3d16_rn253d16,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(3,16)) = k7_xcmplx_0(253,16) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn44d3_rn4d3,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(44,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn46d3_rn2d3,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(46,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn49d3_rnm1d3,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(49,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn50d3_rnm2d3,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(50,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rn63d4_rn1d4,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(63,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm1d16_rn257d16,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(257,16) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm1d2_rn33d2,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(33,2) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm1d8_rn129d8,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(129,8) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm21d4_rn85d4,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(21),4)) = k7_xcmplx_0(85,4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm27d4_rn91d4,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(91,4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm3d16_rn259d16,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(259,16) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm3d32_rn515d32,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(515,32) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm3d4_rn67d4,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(67,4) )).
fof(rqRealDiff__k6_xcmplx_0__r16_rnm3d8_rn131d8,axiom,( k6_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(131,8) )).
fof(rqRealDiff__k6_xcmplx_0__r172_r2_r170,axiom,( k6_xcmplx_0(172,2) = 170 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r0_r17,axiom,( k6_xcmplx_0(17,0) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r10_r7,axiom,( k6_xcmplx_0(17,10) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r11_r6,axiom,( k6_xcmplx_0(17,11) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r128_rm111,axiom,( k6_xcmplx_0(17,128) = k4_xcmplx_0(111) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r12_r5,axiom,( k6_xcmplx_0(17,12) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r13_r4,axiom,( k6_xcmplx_0(17,13) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r14_r3,axiom,( k6_xcmplx_0(17,14) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r15_r2,axiom,( k6_xcmplx_0(17,15) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r16_r1,axiom,( k6_xcmplx_0(17,16) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r17_r0,axiom,( k6_xcmplx_0(17,17) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r18_rm1,axiom,( k6_xcmplx_0(17,18) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r19_rm2,axiom,( k6_xcmplx_0(17,19) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r1_r16,axiom,( k6_xcmplx_0(17,1) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r20_rm3,axiom,( k6_xcmplx_0(17,20) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r21_rm4,axiom,( k6_xcmplx_0(17,21) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r22_rm5,axiom,( k6_xcmplx_0(17,22) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r23_rm6,axiom,( k6_xcmplx_0(17,23) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r24_rm7,axiom,( k6_xcmplx_0(17,24) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r256_rm239,axiom,( k6_xcmplx_0(17,256) = k4_xcmplx_0(239) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r25_rm8,axiom,( k6_xcmplx_0(17,25) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r26_rm9,axiom,( k6_xcmplx_0(17,26) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r27_rm10,axiom,( k6_xcmplx_0(17,27) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r28_rm11,axiom,( k6_xcmplx_0(17,28) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r29_rm12,axiom,( k6_xcmplx_0(17,29) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r2_r15,axiom,( k6_xcmplx_0(17,2) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r30_rm13,axiom,( k6_xcmplx_0(17,30) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r31_rm14,axiom,( k6_xcmplx_0(17,31) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r32_rm15,axiom,( k6_xcmplx_0(17,32) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r33_rm16,axiom,( k6_xcmplx_0(17,33) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r34_rm17,axiom,( k6_xcmplx_0(17,34) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r35_rm18,axiom,( k6_xcmplx_0(17,35) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r36_rm19,axiom,( k6_xcmplx_0(17,36) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r37_rm20,axiom,( k6_xcmplx_0(17,37) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r38_rm21,axiom,( k6_xcmplx_0(17,38) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r39_rm22,axiom,( k6_xcmplx_0(17,39) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r3_r14,axiom,( k6_xcmplx_0(17,3) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r40_rm23,axiom,( k6_xcmplx_0(17,40) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r41_rm24,axiom,( k6_xcmplx_0(17,41) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r42_rm25,axiom,( k6_xcmplx_0(17,42) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r43_rm26,axiom,( k6_xcmplx_0(17,43) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r446_rm429,axiom,( k6_xcmplx_0(17,446) = k4_xcmplx_0(429) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r44_rm27,axiom,( k6_xcmplx_0(17,44) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r45_rm28,axiom,( k6_xcmplx_0(17,45) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r46_rm29,axiom,( k6_xcmplx_0(17,46) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r47_rm30,axiom,( k6_xcmplx_0(17,47) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r48_rm31,axiom,( k6_xcmplx_0(17,48) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r49_rm32,axiom,( k6_xcmplx_0(17,49) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r4_r13,axiom,( k6_xcmplx_0(17,4) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r50_rm33,axiom,( k6_xcmplx_0(17,50) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r51_rm34,axiom,( k6_xcmplx_0(17,51) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r52_rm35,axiom,( k6_xcmplx_0(17,52) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r53_rm36,axiom,( k6_xcmplx_0(17,53) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r54_rm37,axiom,( k6_xcmplx_0(17,54) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r55_rm38,axiom,( k6_xcmplx_0(17,55) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r56_rm39,axiom,( k6_xcmplx_0(17,56) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r57_rm40,axiom,( k6_xcmplx_0(17,57) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r58_rm41,axiom,( k6_xcmplx_0(17,58) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r59_rm42,axiom,( k6_xcmplx_0(17,59) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r5_r12,axiom,( k6_xcmplx_0(17,5) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r60_rm43,axiom,( k6_xcmplx_0(17,60) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r61_rm44,axiom,( k6_xcmplx_0(17,61) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r62_rm45,axiom,( k6_xcmplx_0(17,62) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r63_rm46,axiom,( k6_xcmplx_0(17,63) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r68_rm51,axiom,( k6_xcmplx_0(17,68) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r6_r11,axiom,( k6_xcmplx_0(17,6) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r7_r10,axiom,( k6_xcmplx_0(17,7) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r85_rm68,axiom,( k6_xcmplx_0(17,85) = k4_xcmplx_0(68) )).
fof(rqRealDiff__k6_xcmplx_0__r17_r8_r9,axiom,( k6_xcmplx_0(17,8) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r17_r9_r8,axiom,( k6_xcmplx_0(17,9) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r17_rm1_r18,axiom,( k6_xcmplx_0(17,k4_xcmplx_0(1)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r183_r0_r183,axiom,( k6_xcmplx_0(183,0) = 183 )).
fof(rqRealDiff__k6_xcmplx_0__r183_r16_r167,axiom,( k6_xcmplx_0(183,16) = 167 )).
fof(rqRealDiff__k6_xcmplx_0__r183_r183_r0,axiom,( k6_xcmplx_0(183,183) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r183_r1_r182,axiom,( k6_xcmplx_0(183,1) = 182 )).
fof(rqRealDiff__k6_xcmplx_0__r183_r32_r151,axiom,( k6_xcmplx_0(183,32) = 151 )).
fof(rqRealDiff__k6_xcmplx_0__r183_r366_rm183,axiom,( k6_xcmplx_0(183,366) = k4_xcmplx_0(183) )).
fof(rqRealDiff__k6_xcmplx_0__r183_r3_r180,axiom,( k6_xcmplx_0(183,3) = 180 )).
fof(rqRealDiff__k6_xcmplx_0__r183_r91_r92,axiom,( k6_xcmplx_0(183,91) = 92 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r0_r18,axiom,( k6_xcmplx_0(18,0) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r108_rm90,axiom,( k6_xcmplx_0(18,108) = k4_xcmplx_0(90) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r10_r8,axiom,( k6_xcmplx_0(18,10) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r11_r7,axiom,( k6_xcmplx_0(18,11) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r126_rm108,axiom,( k6_xcmplx_0(18,126) = k4_xcmplx_0(108) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r12_r6,axiom,( k6_xcmplx_0(18,12) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r13_r5,axiom,( k6_xcmplx_0(18,13) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r14_r4,axiom,( k6_xcmplx_0(18,14) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r15_r3,axiom,( k6_xcmplx_0(18,15) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r16_r2,axiom,( k6_xcmplx_0(18,16) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r17_r1,axiom,( k6_xcmplx_0(18,17) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r18_r0,axiom,( k6_xcmplx_0(18,18) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r19_rm1,axiom,( k6_xcmplx_0(18,19) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r1_r17,axiom,( k6_xcmplx_0(18,1) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r203_rm185,axiom,( k6_xcmplx_0(18,203) = k4_xcmplx_0(185) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r20_rm2,axiom,( k6_xcmplx_0(18,20) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r216_rm198,axiom,( k6_xcmplx_0(18,216) = k4_xcmplx_0(198) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r21_rm3,axiom,( k6_xcmplx_0(18,21) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r22_rm4,axiom,( k6_xcmplx_0(18,22) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r23_rm5,axiom,( k6_xcmplx_0(18,23) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r24_rm6,axiom,( k6_xcmplx_0(18,24) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r252_rm234,axiom,( k6_xcmplx_0(18,252) = k4_xcmplx_0(234) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r25_rm7,axiom,( k6_xcmplx_0(18,25) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r26_rm8,axiom,( k6_xcmplx_0(18,26) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r27_rm9,axiom,( k6_xcmplx_0(18,27) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r28_rm10,axiom,( k6_xcmplx_0(18,28) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r29_rm11,axiom,( k6_xcmplx_0(18,29) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r2_r16,axiom,( k6_xcmplx_0(18,2) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r30_rm12,axiom,( k6_xcmplx_0(18,30) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r31_rm13,axiom,( k6_xcmplx_0(18,31) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r32_rm14,axiom,( k6_xcmplx_0(18,32) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r33_rm15,axiom,( k6_xcmplx_0(18,33) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r34_rm16,axiom,( k6_xcmplx_0(18,34) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r35_rm17,axiom,( k6_xcmplx_0(18,35) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r36_rm18,axiom,( k6_xcmplx_0(18,36) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r37_rm19,axiom,( k6_xcmplx_0(18,37) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r38_rm20,axiom,( k6_xcmplx_0(18,38) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r39_rm21,axiom,( k6_xcmplx_0(18,39) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r3_r15,axiom,( k6_xcmplx_0(18,3) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r40_rm22,axiom,( k6_xcmplx_0(18,40) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r414_rm396,axiom,( k6_xcmplx_0(18,414) = k4_xcmplx_0(396) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r41_rm23,axiom,( k6_xcmplx_0(18,41) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r42_rm24,axiom,( k6_xcmplx_0(18,42) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r43_rm25,axiom,( k6_xcmplx_0(18,43) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r44_rm26,axiom,( k6_xcmplx_0(18,44) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r45_rm27,axiom,( k6_xcmplx_0(18,45) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r46_rm28,axiom,( k6_xcmplx_0(18,46) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r47_rm29,axiom,( k6_xcmplx_0(18,47) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r48_rm30,axiom,( k6_xcmplx_0(18,48) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r49_rm31,axiom,( k6_xcmplx_0(18,49) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r4_r14,axiom,( k6_xcmplx_0(18,4) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r50_rm32,axiom,( k6_xcmplx_0(18,50) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r51_rm33,axiom,( k6_xcmplx_0(18,51) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r52_rm34,axiom,( k6_xcmplx_0(18,52) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r53_rm35,axiom,( k6_xcmplx_0(18,53) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r54_rm36,axiom,( k6_xcmplx_0(18,54) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r55_rm37,axiom,( k6_xcmplx_0(18,55) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r56_rm38,axiom,( k6_xcmplx_0(18,56) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r57_rm39,axiom,( k6_xcmplx_0(18,57) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r58_rm40,axiom,( k6_xcmplx_0(18,58) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r59_rm41,axiom,( k6_xcmplx_0(18,59) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r5_r13,axiom,( k6_xcmplx_0(18,5) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r60_rm42,axiom,( k6_xcmplx_0(18,60) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r61_rm43,axiom,( k6_xcmplx_0(18,61) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r62_rm44,axiom,( k6_xcmplx_0(18,62) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r63_rm45,axiom,( k6_xcmplx_0(18,63) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r64_rm46,axiom,( k6_xcmplx_0(18,64) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r6_r12,axiom,( k6_xcmplx_0(18,6) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r72_rm54,axiom,( k6_xcmplx_0(18,72) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r73_rm55,axiom,( k6_xcmplx_0(18,73) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r18_r7_r11,axiom,( k6_xcmplx_0(18,7) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r8_r10,axiom,( k6_xcmplx_0(18,8) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r18_r9_r9,axiom,( k6_xcmplx_0(18,9) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm12_r30,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(12)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm18_r36,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(18)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm24_r42,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(24)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm2_r20,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(2)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm30_r48,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(30)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm36_r54,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(36)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm38_r56,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(38)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm42_r60,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(42)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm6_r24,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(6)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rm9_r27,axiom,( k6_xcmplx_0(18,k4_xcmplx_0(9)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r18_rn121d5_rnm31d5,axiom,( k6_xcmplx_0(18,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(31),5) )).
fof(rqRealDiff__k6_xcmplx_0__r18_rn1d3_rn53d3,axiom,( k6_xcmplx_0(18,k7_xcmplx_0(1,3)) = k7_xcmplx_0(53,3) )).
fof(rqRealDiff__k6_xcmplx_0__r18_rn29d36_rn619d36,axiom,( k6_xcmplx_0(18,k7_xcmplx_0(29,36)) = k7_xcmplx_0(619,36) )).
fof(rqRealDiff__k6_xcmplx_0__r18_rn3d5_rn87d5,axiom,( k6_xcmplx_0(18,k7_xcmplx_0(3,5)) = k7_xcmplx_0(87,5) )).
fof(rqRealDiff__k6_xcmplx_0__r192_r384_rm192,axiom,( k6_xcmplx_0(192,384) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__r192_r576_rm384,axiom,( k6_xcmplx_0(192,576) = k4_xcmplx_0(384) )).
fof(rqRealDiff__k6_xcmplx_0__r192_rm192_r384,axiom,( k6_xcmplx_0(192,k4_xcmplx_0(192)) = 384 )).
fof(rqRealDiff__k6_xcmplx_0__r192_rm384_r576,axiom,( k6_xcmplx_0(192,k4_xcmplx_0(384)) = 576 )).
fof(rqRealDiff__k6_xcmplx_0__r192_rm96_r288,axiom,( k6_xcmplx_0(192,k4_xcmplx_0(96)) = 288 )).
fof(rqRealDiff__k6_xcmplx_0__r197_r1_r196,axiom,( k6_xcmplx_0(197,1) = 196 )).
fof(rqRealDiff__k6_xcmplx_0__r197_r256_rm59,axiom,( k6_xcmplx_0(197,256) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r197_r2_r195,axiom,( k6_xcmplx_0(197,2) = 195 )).
fof(rqRealDiff__k6_xcmplx_0__r197_r4_r193,axiom,( k6_xcmplx_0(197,4) = 193 )).
fof(rqRealDiff__k6_xcmplx_0__r197_r512_rm315,axiom,( k6_xcmplx_0(197,512) = k4_xcmplx_0(315) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r0_r19,axiom,( k6_xcmplx_0(19,0) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r16_r3,axiom,( k6_xcmplx_0(19,16) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r18_r1,axiom,( k6_xcmplx_0(19,18) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r19_r0,axiom,( k6_xcmplx_0(19,19) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r1_r18,axiom,( k6_xcmplx_0(19,1) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r20_rm1,axiom,( k6_xcmplx_0(19,20) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r21_rm2,axiom,( k6_xcmplx_0(19,21) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r22_rm3,axiom,( k6_xcmplx_0(19,22) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r23_rm4,axiom,( k6_xcmplx_0(19,23) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r24_rm5,axiom,( k6_xcmplx_0(19,24) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r25_rm6,axiom,( k6_xcmplx_0(19,25) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r26_rm7,axiom,( k6_xcmplx_0(19,26) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r27_rm8,axiom,( k6_xcmplx_0(19,27) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r28_rm9,axiom,( k6_xcmplx_0(19,28) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r29_rm10,axiom,( k6_xcmplx_0(19,29) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r30_rm11,axiom,( k6_xcmplx_0(19,30) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r31_rm12,axiom,( k6_xcmplx_0(19,31) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r32_rm13,axiom,( k6_xcmplx_0(19,32) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r33_rm14,axiom,( k6_xcmplx_0(19,33) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r34_rm15,axiom,( k6_xcmplx_0(19,34) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r35_rm16,axiom,( k6_xcmplx_0(19,35) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r36_rm17,axiom,( k6_xcmplx_0(19,36) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r37_rm18,axiom,( k6_xcmplx_0(19,37) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r38_rm19,axiom,( k6_xcmplx_0(19,38) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r39_rm20,axiom,( k6_xcmplx_0(19,39) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r3_r16,axiom,( k6_xcmplx_0(19,3) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r40_rm21,axiom,( k6_xcmplx_0(19,40) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r41_rm22,axiom,( k6_xcmplx_0(19,41) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r42_rm23,axiom,( k6_xcmplx_0(19,42) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r43_rm24,axiom,( k6_xcmplx_0(19,43) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r44_rm25,axiom,( k6_xcmplx_0(19,44) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r45_rm26,axiom,( k6_xcmplx_0(19,45) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r46_rm27,axiom,( k6_xcmplx_0(19,46) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r47_rm28,axiom,( k6_xcmplx_0(19,47) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r48_rm29,axiom,( k6_xcmplx_0(19,48) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r49_rm30,axiom,( k6_xcmplx_0(19,49) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r50_rm31,axiom,( k6_xcmplx_0(19,50) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r51_rm32,axiom,( k6_xcmplx_0(19,51) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r52_rm33,axiom,( k6_xcmplx_0(19,52) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r53_rm34,axiom,( k6_xcmplx_0(19,53) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r54_rm35,axiom,( k6_xcmplx_0(19,54) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r55_rm36,axiom,( k6_xcmplx_0(19,55) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r56_rm37,axiom,( k6_xcmplx_0(19,56) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r57_rm38,axiom,( k6_xcmplx_0(19,57) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r58_rm39,axiom,( k6_xcmplx_0(19,58) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r59_rm40,axiom,( k6_xcmplx_0(19,59) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r5_r14,axiom,( k6_xcmplx_0(19,5) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r60_rm41,axiom,( k6_xcmplx_0(19,60) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r61_rm42,axiom,( k6_xcmplx_0(19,61) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r62_rm43,axiom,( k6_xcmplx_0(19,62) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r63_rm44,axiom,( k6_xcmplx_0(19,63) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r19_r7_r12,axiom,( k6_xcmplx_0(19,7) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r8_r11,axiom,( k6_xcmplx_0(19,8) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r19_r9_r10,axiom,( k6_xcmplx_0(19,9) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r19_rn121d5_rnm26d5,axiom,( k6_xcmplx_0(19,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(26),5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r0_crm1r1,axiom,( k6_xcmplx_0(1,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r1_crm1r0,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k1_xcmplx_0,1)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__r1_cr2r0_crm2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_cr2r1_crm2r0,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__r1_cr3r0_crm3r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r0_cr1r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r1_cr1r0,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__r1_crm2r0_cr2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crm3r0_cr3r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crn1d2r0_crnm1d2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crn1d2rn1d2_crnm1d2rn1d2,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crn1d2rnm1d2_crnm1d2rn3d2,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crn27d2r0_crnm27d2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crn3d2r0_crnm3d2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crnm1d2r0_crn1d2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crnm1d2r1_crn1d2r0,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crnm1d2rn1d2_crn1d2rn1d2,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crnm1d2rnm1d2_crn1d2rn3d2,axiom,( k6_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crnm27d2r0_crn27d2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_crnm3d2r0_crn3d2r1,axiom,( k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1,axiom,( k6_xcmplx_0(1,0) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r1_r100_rm99,axiom,( k6_xcmplx_0(1,100) = k4_xcmplx_0(99) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r106_rm105,axiom,( k6_xcmplx_0(1,106) = k4_xcmplx_0(105) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r108_rm107,axiom,( k6_xcmplx_0(1,108) = k4_xcmplx_0(107) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r10_rm9,axiom,( k6_xcmplx_0(1,10) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r112_rm111,axiom,( k6_xcmplx_0(1,112) = k4_xcmplx_0(111) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r119_rm118,axiom,( k6_xcmplx_0(1,119) = k4_xcmplx_0(118) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r11_rm10,axiom,( k6_xcmplx_0(1,11) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r120_rm119,axiom,( k6_xcmplx_0(1,120) = k4_xcmplx_0(119) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r121_rm120,axiom,( k6_xcmplx_0(1,121) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r123_rm122,axiom,( k6_xcmplx_0(1,123) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r126_rm125,axiom,( k6_xcmplx_0(1,126) = k4_xcmplx_0(125) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r128_rm127,axiom,( k6_xcmplx_0(1,128) = k4_xcmplx_0(127) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r12_rm11,axiom,( k6_xcmplx_0(1,12) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r136_rm135,axiom,( k6_xcmplx_0(1,136) = k4_xcmplx_0(135) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12,axiom,( k6_xcmplx_0(1,13) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r14_rm13,axiom,( k6_xcmplx_0(1,14) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r15_rm14,axiom,( k6_xcmplx_0(1,15) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r164_rm163,axiom,( k6_xcmplx_0(1,164) = k4_xcmplx_0(163) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r16_rm15,axiom,( k6_xcmplx_0(1,16) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r172_rm171,axiom,( k6_xcmplx_0(1,172) = k4_xcmplx_0(171) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r17_rm16,axiom,( k6_xcmplx_0(1,17) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r18_rm17,axiom,( k6_xcmplx_0(1,18) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r192_rm191,axiom,( k6_xcmplx_0(1,192) = k4_xcmplx_0(191) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r197_rm196,axiom,( k6_xcmplx_0(1,197) = k4_xcmplx_0(196) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r19_rm18,axiom,( k6_xcmplx_0(1,19) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0,axiom,( k6_xcmplx_0(1,1) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r1_r203_rm202,axiom,( k6_xcmplx_0(1,203) = k4_xcmplx_0(202) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r20_rm19,axiom,( k6_xcmplx_0(1,20) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r211_rm210,axiom,( k6_xcmplx_0(1,211) = k4_xcmplx_0(210) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r216_rm215,axiom,( k6_xcmplx_0(1,216) = k4_xcmplx_0(215) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r21_rm20,axiom,( k6_xcmplx_0(1,21) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r225_rm224,axiom,( k6_xcmplx_0(1,225) = k4_xcmplx_0(224) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r22_rm21,axiom,( k6_xcmplx_0(1,22) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r236_rm235,axiom,( k6_xcmplx_0(1,236) = k4_xcmplx_0(235) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r23_rm22,axiom,( k6_xcmplx_0(1,23) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r241_rm240,axiom,( k6_xcmplx_0(1,241) = k4_xcmplx_0(240) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r242_rm241,axiom,( k6_xcmplx_0(1,242) = k4_xcmplx_0(241) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r249_rm248,axiom,( k6_xcmplx_0(1,249) = k4_xcmplx_0(248) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r24_rm23,axiom,( k6_xcmplx_0(1,24) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r252_rm251,axiom,( k6_xcmplx_0(1,252) = k4_xcmplx_0(251) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r255_rm254,axiom,( k6_xcmplx_0(1,255) = k4_xcmplx_0(254) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r256_rm255,axiom,( k6_xcmplx_0(1,256) = k4_xcmplx_0(255) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r257_rm256,axiom,( k6_xcmplx_0(1,257) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r25_rm24,axiom,( k6_xcmplx_0(1,25) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r263_rm262,axiom,( k6_xcmplx_0(1,263) = k4_xcmplx_0(262) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r26_rm25,axiom,( k6_xcmplx_0(1,26) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r274_rm273,axiom,( k6_xcmplx_0(1,274) = k4_xcmplx_0(273) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r27_rm26,axiom,( k6_xcmplx_0(1,27) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r289_rm288,axiom,( k6_xcmplx_0(1,289) = k4_xcmplx_0(288) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r28_rm27,axiom,( k6_xcmplx_0(1,28) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r298_rm297,axiom,( k6_xcmplx_0(1,298) = k4_xcmplx_0(297) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r29_rm28,axiom,( k6_xcmplx_0(1,29) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1,axiom,( k6_xcmplx_0(1,2) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r30_rm29,axiom,( k6_xcmplx_0(1,30) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r315_rm314,axiom,( k6_xcmplx_0(1,315) = k4_xcmplx_0(314) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r31_rm30,axiom,( k6_xcmplx_0(1,31) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r320_rm319,axiom,( k6_xcmplx_0(1,320) = k4_xcmplx_0(319) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r325_rm324,axiom,( k6_xcmplx_0(1,325) = k4_xcmplx_0(324) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r32_rm31,axiom,( k6_xcmplx_0(1,32) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r332_rm331,axiom,( k6_xcmplx_0(1,332) = k4_xcmplx_0(331) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r33_rm32,axiom,( k6_xcmplx_0(1,33) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r344_rm343,axiom,( k6_xcmplx_0(1,344) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r345_rm344,axiom,( k6_xcmplx_0(1,345) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r346_rm345,axiom,( k6_xcmplx_0(1,346) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r347_rm346,axiom,( k6_xcmplx_0(1,347) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r348_rm347,axiom,( k6_xcmplx_0(1,348) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r349_rm348,axiom,( k6_xcmplx_0(1,349) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r34_rm33,axiom,( k6_xcmplx_0(1,34) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r350_rm349,axiom,( k6_xcmplx_0(1,350) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r351_rm350,axiom,( k6_xcmplx_0(1,351) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r352_rm351,axiom,( k6_xcmplx_0(1,352) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r353_rm352,axiom,( k6_xcmplx_0(1,353) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r354_rm353,axiom,( k6_xcmplx_0(1,354) = k4_xcmplx_0(353) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r355_rm354,axiom,( k6_xcmplx_0(1,355) = k4_xcmplx_0(354) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r356_rm355,axiom,( k6_xcmplx_0(1,356) = k4_xcmplx_0(355) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r357_rm356,axiom,( k6_xcmplx_0(1,357) = k4_xcmplx_0(356) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r358_rm357,axiom,( k6_xcmplx_0(1,358) = k4_xcmplx_0(357) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r359_rm358,axiom,( k6_xcmplx_0(1,359) = k4_xcmplx_0(358) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r35_rm34,axiom,( k6_xcmplx_0(1,35) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r360_rm359,axiom,( k6_xcmplx_0(1,360) = k4_xcmplx_0(359) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r361_rm360,axiom,( k6_xcmplx_0(1,361) = k4_xcmplx_0(360) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r362_rm361,axiom,( k6_xcmplx_0(1,362) = k4_xcmplx_0(361) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r363_rm362,axiom,( k6_xcmplx_0(1,363) = k4_xcmplx_0(362) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r364_rm363,axiom,( k6_xcmplx_0(1,364) = k4_xcmplx_0(363) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r36_rm35,axiom,( k6_xcmplx_0(1,36) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r37_rm36,axiom,( k6_xcmplx_0(1,37) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r38_rm37,axiom,( k6_xcmplx_0(1,38) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r39_rm38,axiom,( k6_xcmplx_0(1,39) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2,axiom,( k6_xcmplx_0(1,3) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r40_rm39,axiom,( k6_xcmplx_0(1,40) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r414_rm413,axiom,( k6_xcmplx_0(1,414) = k4_xcmplx_0(413) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r419_rm418,axiom,( k6_xcmplx_0(1,419) = k4_xcmplx_0(418) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r41_rm40,axiom,( k6_xcmplx_0(1,41) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r42_rm41,axiom,( k6_xcmplx_0(1,42) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r43_rm42,axiom,( k6_xcmplx_0(1,43) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r44_rm43,axiom,( k6_xcmplx_0(1,44) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r45_rm44,axiom,( k6_xcmplx_0(1,45) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r46_rm45,axiom,( k6_xcmplx_0(1,46) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r47_rm46,axiom,( k6_xcmplx_0(1,47) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r48_rm47,axiom,( k6_xcmplx_0(1,48) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r49_rm48,axiom,( k6_xcmplx_0(1,49) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r4_rm3,axiom,( k6_xcmplx_0(1,4) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r503_rm502,axiom,( k6_xcmplx_0(1,503) = k4_xcmplx_0(502) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r50_rm49,axiom,( k6_xcmplx_0(1,50) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r512_rm511,axiom,( k6_xcmplx_0(1,512) = k4_xcmplx_0(511) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r51_rm50,axiom,( k6_xcmplx_0(1,51) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r52_rm51,axiom,( k6_xcmplx_0(1,52) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r53_rm52,axiom,( k6_xcmplx_0(1,53) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r54_rm53,axiom,( k6_xcmplx_0(1,54) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r55_rm54,axiom,( k6_xcmplx_0(1,55) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r56_rm55,axiom,( k6_xcmplx_0(1,56) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r57_rm56,axiom,( k6_xcmplx_0(1,57) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r58_rm57,axiom,( k6_xcmplx_0(1,58) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r59_rm58,axiom,( k6_xcmplx_0(1,59) = k4_xcmplx_0(58) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r5_rm4,axiom,( k6_xcmplx_0(1,5) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r60_rm59,axiom,( k6_xcmplx_0(1,60) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r61_rm60,axiom,( k6_xcmplx_0(1,61) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r62_rm61,axiom,( k6_xcmplx_0(1,62) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r63_rm62,axiom,( k6_xcmplx_0(1,63) = k4_xcmplx_0(62) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r640_rm639,axiom,( k6_xcmplx_0(1,640) = k4_xcmplx_0(639) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r641_rm640,axiom,( k6_xcmplx_0(1,641) = k4_xcmplx_0(640) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r64_rm63,axiom,( k6_xcmplx_0(1,64) = k4_xcmplx_0(63) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r656_rm655,axiom,( k6_xcmplx_0(1,656) = k4_xcmplx_0(655) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r673_rm672,axiom,( k6_xcmplx_0(1,673) = k4_xcmplx_0(672) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r6_rm5,axiom,( k6_xcmplx_0(1,6) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r70_rm69,axiom,( k6_xcmplx_0(1,70) = k4_xcmplx_0(69) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r71_rm70,axiom,( k6_xcmplx_0(1,71) = k4_xcmplx_0(70) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r72_rm71,axiom,( k6_xcmplx_0(1,72) = k4_xcmplx_0(71) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r73_rm72,axiom,( k6_xcmplx_0(1,73) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r7_rm6,axiom,( k6_xcmplx_0(1,7) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r800_rm799,axiom,( k6_xcmplx_0(1,800) = k4_xcmplx_0(799) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r809_rm808,axiom,( k6_xcmplx_0(1,809) = k4_xcmplx_0(808) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r80_rm79,axiom,( k6_xcmplx_0(1,80) = k4_xcmplx_0(79) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r81_rm80,axiom,( k6_xcmplx_0(1,81) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r83_rm82,axiom,( k6_xcmplx_0(1,83) = k4_xcmplx_0(82) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r84_rm83,axiom,( k6_xcmplx_0(1,84) = k4_xcmplx_0(83) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r89_rm88,axiom,( k6_xcmplx_0(1,89) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r8_rm7,axiom,( k6_xcmplx_0(1,8) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r90_rm89,axiom,( k6_xcmplx_0(1,90) = k4_xcmplx_0(89) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r91_rm90,axiom,( k6_xcmplx_0(1,91) = k4_xcmplx_0(90) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r96_rm95,axiom,( k6_xcmplx_0(1,96) = k4_xcmplx_0(95) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r97_rm96,axiom,( k6_xcmplx_0(1,97) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__r1_r9_rm8,axiom,( k6_xcmplx_0(1,9) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm100_r101,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(100)) = 101 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm10_r11,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(10)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm11_r12,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(11)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm121_r122,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(121)) = 122 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm12_r13,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(12)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm13_r14,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(13)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm16_r17,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(16)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm18_r19,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(18)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(1)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm20_r21,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(20)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm24_r25,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(24)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm255_r256,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(255)) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm256_r257,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(256)) = 257 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm25_r26,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(25)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm27_r28,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(27)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm28_r29,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(28)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm29_r30,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(29)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm32_r33,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(32)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm35_r36,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(35)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm36_r37,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(36)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm3_r4,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(3)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm4_r5,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(4)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm512_r513,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(512)) = 513 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm53_r54,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(53)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm54_r55,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(54)) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm5_r6,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(5)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm6_r7,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(6)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm768_r769,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(768)) = 769 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm7_r8,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(7)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm81_r82,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(81)) = 82 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm8_r9,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(8)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm99_r100,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(99)) = 100 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rm9_r10,axiom,( k6_xcmplx_0(1,k4_xcmplx_0(9)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn11d10_rnm1d10,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(11,10)) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn11d36_rn25d36,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(11,36)) = k7_xcmplx_0(25,36) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn121d120_rnm1d120,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(121,120)) = k7_xcmplx_0(k4_xcmplx_0(1),120) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn121d5_rnm116d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(116),5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn12d5_rnm7d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(12,5)) = k7_xcmplx_0(k4_xcmplx_0(7),5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn13d2_rnm11d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn13d4_rnm9d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(13,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn159d100_rnm59d100,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(59),100) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn159d200_rn41d200,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(159,200)) = k7_xcmplx_0(41,200) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d100_rn99d100,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,100)) = k7_xcmplx_0(99,100) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d10_rn9d10,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,10)) = k7_xcmplx_0(9,10) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d12_rn11d12,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,12)) = k7_xcmplx_0(11,12) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d14_rn13d14,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,14)) = k7_xcmplx_0(13,14) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d16_rn15d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,16)) = k7_xcmplx_0(15,16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d18_rn17d18,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,18)) = k7_xcmplx_0(17,18) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d24_rn23d24,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,24)) = k7_xcmplx_0(23,24) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d25_rn24d25,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,25)) = k7_xcmplx_0(24,25) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d27_rn26d27,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,27)) = k7_xcmplx_0(26,27) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d30_rn29d30,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,30)) = k7_xcmplx_0(29,30) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d32_rn31d32,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,32)) = k7_xcmplx_0(31,32) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d36_rn35d36,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,36)) = k7_xcmplx_0(35,36) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d5_rn4d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,5)) = k7_xcmplx_0(4,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d64_rn63d64,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,64)) = k7_xcmplx_0(63,64) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d6_rn5d6,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,6)) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d7_rn6d7,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,7)) = k7_xcmplx_0(6,7) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d8_rn7d8,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,8)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d9_rn8d9,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(1,9)) = k7_xcmplx_0(8,9) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn25d16_rnm9d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(25,16)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn25d36_rn11d36,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(25,36)) = k7_xcmplx_0(11,36) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn25d4_rnm21d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(25,4)) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn27d16_rnm11d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(27,16)) = k7_xcmplx_0(k4_xcmplx_0(11),16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn27d2_rnm25d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(27,2)) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn29d36_rn7d36,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(29,36)) = k7_xcmplx_0(7,36) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d5_rn3d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(2,5)) = k7_xcmplx_0(3,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d9_rn7d9,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(2,9)) = k7_xcmplx_0(7,9) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn31d32_rn1d32,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(31,32)) = k7_xcmplx_0(1,32) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn343d729_rn386d729,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(343,729)) = k7_xcmplx_0(386,729) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn35d128_rn93d128,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(35,128)) = k7_xcmplx_0(93,128) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn35d18_rnm17d18,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(35,18)) = k7_xcmplx_0(k4_xcmplx_0(17),18) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn35d2_rnm33d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(35,2)) = k7_xcmplx_0(k4_xcmplx_0(33),2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn35d3_rnm32d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(32),3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d16_rn13d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(3,16)) = k7_xcmplx_0(13,16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(3,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d5_rn2d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(3,5)) = k7_xcmplx_0(2,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d8_rn5d8,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(3,8)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn49d729_rn680d729,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(49,729)) = k7_xcmplx_0(680,729) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn49d81_rn32d81,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(49,81)) = k7_xcmplx_0(32,81) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn4d5_rn1d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(4,5)) = k7_xcmplx_0(1,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn4d9_rn5d9,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(4,9)) = k7_xcmplx_0(5,9) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d16_rn11d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(5,16)) = k7_xcmplx_0(11,16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d2_rnm3d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d3_rnm2d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d4_rnm1d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d6_rn1d6,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(5,6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn5d8_rn3d8,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(5,8)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn6d5_rnm1d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(6,5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn7d2_rnm5d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn7d3_rnm4d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn7d8_rn1d8,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(7,8)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn7d9_rn2d9,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(7,9)) = k7_xcmplx_0(2,9) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn8d27_rn19d27,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(8,27)) = k7_xcmplx_0(19,27) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn8d3_rnm5d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn8d5_rnm3d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(8,5)) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn9d16_rn7d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(9,16)) = k7_xcmplx_0(7,16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn9d2_rnm7d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn9d4_rnm5d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(9,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rn9d8_rnm1d8,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(9,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm116d5_rn121d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(116),5)) = k7_xcmplx_0(121,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm12d5_rn17d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(12),5)) = k7_xcmplx_0(17,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm13d2_rn15d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm19d6_rn25d6,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(25,6) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d10_rn11d10,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(11,10) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d120_rn121d120,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),120)) = k7_xcmplx_0(121,120) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d12_rn13d12,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(13,12) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d16_rn17d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(17,16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d18_rn19d18,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(19,18) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d24_rn25d24,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(25,24) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d25_rn26d25,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(26,25) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d27_rn28d27,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(28,27) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d48_rn49d48,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),48)) = k7_xcmplx_0(49,48) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d4_rn5d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d5_rn6d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(6,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d6_rn7d6,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d8_rn9d8,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(9,8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d9_rn10d9,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(10,9) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm25d36_rn61d36,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(61,36) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm27d2_rn29d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(27),2)) = k7_xcmplx_0(29,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm27d4_rn31d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(31,4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm2d27_rn29d27,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(29,27) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm2d3_rn5d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm2d5_rn7d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(7,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm35d2_rn37d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(35),2)) = k7_xcmplx_0(37,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm35d3_rn38d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(35),3)) = k7_xcmplx_0(38,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm3d16_rn19d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(19,16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm3d2_rn5d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm3d32_rn35d32,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(35,32) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm3d4_rn7d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm3d5_rn8d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(8,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm3d8_rn11d8,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(11,8) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm4d3_rn7d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm4d5_rn9d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(9,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm5d16_rn21d16,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(21,16) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm5d2_rn7d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm5d3_rn8d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm5d4_rn9d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm7d18_rn25d18,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(25,18) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm7d27_rn34d27,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(34,27) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm7d3_rn10d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm8d3_rn11d3,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(11,3) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm8d5_rn13d5,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(13,5) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm9d2_rn11d2,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm9d4_rn13d4,axiom,( k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(9),4)) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__r203_r126_r77,axiom,( k6_xcmplx_0(203,126) = 77 )).
fof(rqRealDiff__k6_xcmplx_0__r203_r1_r202,axiom,( k6_xcmplx_0(203,1) = 202 )).
fof(rqRealDiff__k6_xcmplx_0__r203_r203_r0,axiom,( k6_xcmplx_0(203,203) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r203_r216_rm13,axiom,( k6_xcmplx_0(203,216) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r203_r21_r182,axiom,( k6_xcmplx_0(203,21) = 182 )).
fof(rqRealDiff__k6_xcmplx_0__r203_r36_r167,axiom,( k6_xcmplx_0(203,36) = 167 )).
fof(rqRealDiff__k6_xcmplx_0__r203_r414_rm211,axiom,( k6_xcmplx_0(203,414) = k4_xcmplx_0(211) )).
fof(rqRealDiff__k6_xcmplx_0__r203_r419_rm216,axiom,( k6_xcmplx_0(203,419) = k4_xcmplx_0(216) )).
fof(rqRealDiff__k6_xcmplx_0__r203_r4_r199,axiom,( k6_xcmplx_0(203,4) = 199 )).
fof(rqRealDiff__k6_xcmplx_0__r203_r57_r146,axiom,( k6_xcmplx_0(203,57) = 146 )).
fof(rqRealDiff__k6_xcmplx_0__r203_r5_r198,axiom,( k6_xcmplx_0(203,5) = 198 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r0_r20,axiom,( k6_xcmplx_0(20,0) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r10_r10,axiom,( k6_xcmplx_0(20,10) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r11_r9,axiom,( k6_xcmplx_0(20,11) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r12_r8,axiom,( k6_xcmplx_0(20,12) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r13_r7,axiom,( k6_xcmplx_0(20,13) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r14_r6,axiom,( k6_xcmplx_0(20,14) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r15_r5,axiom,( k6_xcmplx_0(20,15) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r16_r4,axiom,( k6_xcmplx_0(20,16) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r17_r3,axiom,( k6_xcmplx_0(20,17) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r18_r2,axiom,( k6_xcmplx_0(20,18) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r19_r1,axiom,( k6_xcmplx_0(20,19) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r1_r19,axiom,( k6_xcmplx_0(20,1) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r20_r0,axiom,( k6_xcmplx_0(20,20) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r21_rm1,axiom,( k6_xcmplx_0(20,21) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r22_rm2,axiom,( k6_xcmplx_0(20,22) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r23_rm3,axiom,( k6_xcmplx_0(20,23) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r24_rm4,axiom,( k6_xcmplx_0(20,24) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r25_rm5,axiom,( k6_xcmplx_0(20,25) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r26_rm6,axiom,( k6_xcmplx_0(20,26) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r27_rm7,axiom,( k6_xcmplx_0(20,27) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r28_rm8,axiom,( k6_xcmplx_0(20,28) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r29_rm9,axiom,( k6_xcmplx_0(20,29) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r2_r18,axiom,( k6_xcmplx_0(20,2) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r30_rm10,axiom,( k6_xcmplx_0(20,30) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r31_rm11,axiom,( k6_xcmplx_0(20,31) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r32_rm12,axiom,( k6_xcmplx_0(20,32) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r33_rm13,axiom,( k6_xcmplx_0(20,33) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r34_rm14,axiom,( k6_xcmplx_0(20,34) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r35_rm15,axiom,( k6_xcmplx_0(20,35) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r36_rm16,axiom,( k6_xcmplx_0(20,36) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r37_rm17,axiom,( k6_xcmplx_0(20,37) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r38_rm18,axiom,( k6_xcmplx_0(20,38) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r39_rm19,axiom,( k6_xcmplx_0(20,39) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r3_r17,axiom,( k6_xcmplx_0(20,3) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r40_rm20,axiom,( k6_xcmplx_0(20,40) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r41_rm21,axiom,( k6_xcmplx_0(20,41) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r42_rm22,axiom,( k6_xcmplx_0(20,42) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r43_rm23,axiom,( k6_xcmplx_0(20,43) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r44_rm24,axiom,( k6_xcmplx_0(20,44) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r45_rm25,axiom,( k6_xcmplx_0(20,45) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r46_rm26,axiom,( k6_xcmplx_0(20,46) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r47_rm27,axiom,( k6_xcmplx_0(20,47) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r48_rm28,axiom,( k6_xcmplx_0(20,48) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r49_rm29,axiom,( k6_xcmplx_0(20,49) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r4_r16,axiom,( k6_xcmplx_0(20,4) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r50_rm30,axiom,( k6_xcmplx_0(20,50) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r51_rm31,axiom,( k6_xcmplx_0(20,51) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r52_rm32,axiom,( k6_xcmplx_0(20,52) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r53_rm33,axiom,( k6_xcmplx_0(20,53) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r54_rm34,axiom,( k6_xcmplx_0(20,54) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r55_rm35,axiom,( k6_xcmplx_0(20,55) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r56_rm36,axiom,( k6_xcmplx_0(20,56) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r57_rm37,axiom,( k6_xcmplx_0(20,57) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r58_rm38,axiom,( k6_xcmplx_0(20,58) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r59_rm39,axiom,( k6_xcmplx_0(20,59) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r5_r15,axiom,( k6_xcmplx_0(20,5) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r60_rm40,axiom,( k6_xcmplx_0(20,60) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r61_rm41,axiom,( k6_xcmplx_0(20,61) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r62_rm42,axiom,( k6_xcmplx_0(20,62) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r63_rm43,axiom,( k6_xcmplx_0(20,63) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r64_rm44,axiom,( k6_xcmplx_0(20,64) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r6_r14,axiom,( k6_xcmplx_0(20,6) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r70_rm50,axiom,( k6_xcmplx_0(20,70) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r20_r7_r13,axiom,( k6_xcmplx_0(20,7) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r8_r12,axiom,( k6_xcmplx_0(20,8) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r20_r9_r11,axiom,( k6_xcmplx_0(20,9) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r20_rm1_r21,axiom,( k6_xcmplx_0(20,k4_xcmplx_0(1)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r20_rm32_r52,axiom,( k6_xcmplx_0(20,k4_xcmplx_0(32)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r20_rm8_r28,axiom,( k6_xcmplx_0(20,k4_xcmplx_0(8)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r20_rm9_r29,axiom,( k6_xcmplx_0(20,k4_xcmplx_0(9)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r20_rn121d5_rnm21d5,axiom,( k6_xcmplx_0(20,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(21),5) )).
fof(rqRealDiff__k6_xcmplx_0__r211_r108_r103,axiom,( k6_xcmplx_0(211,108) = 103 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r126_r85,axiom,( k6_xcmplx_0(211,126) = 85 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r18_r193,axiom,( k6_xcmplx_0(211,18) = 193 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r1_r210,axiom,( k6_xcmplx_0(211,1) = 210 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r203_r8,axiom,( k6_xcmplx_0(211,203) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r211_r0,axiom,( k6_xcmplx_0(211,211) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r216_rm5,axiom,( k6_xcmplx_0(211,216) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r211_r21_r190,axiom,( k6_xcmplx_0(211,21) = 190 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r252_rm41,axiom,( k6_xcmplx_0(211,252) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r211_r2_r209,axiom,( k6_xcmplx_0(211,2) = 209 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r36_r175,axiom,( k6_xcmplx_0(211,36) = 175 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r3_r208,axiom,( k6_xcmplx_0(211,3) = 208 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r414_rm203,axiom,( k6_xcmplx_0(211,414) = k4_xcmplx_0(203) )).
fof(rqRealDiff__k6_xcmplx_0__r211_r419_rm208,axiom,( k6_xcmplx_0(211,419) = k4_xcmplx_0(208) )).
fof(rqRealDiff__k6_xcmplx_0__r211_r4_r207,axiom,( k6_xcmplx_0(211,4) = 207 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r54_r157,axiom,( k6_xcmplx_0(211,54) = 157 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r57_r154,axiom,( k6_xcmplx_0(211,57) = 154 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r5_r206,axiom,( k6_xcmplx_0(211,5) = 206 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r6_r205,axiom,( k6_xcmplx_0(211,6) = 205 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r72_r139,axiom,( k6_xcmplx_0(211,72) = 139 )).
fof(rqRealDiff__k6_xcmplx_0__r211_r7_r204,axiom,( k6_xcmplx_0(211,7) = 204 )).
fof(rqRealDiff__k6_xcmplx_0__r211_rm3_r214,axiom,( k6_xcmplx_0(211,k4_xcmplx_0(3)) = 214 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r108_r108,axiom,( k6_xcmplx_0(216,108) = 108 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r126_r90,axiom,( k6_xcmplx_0(216,126) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r144_r72,axiom,( k6_xcmplx_0(216,144) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r18_r198,axiom,( k6_xcmplx_0(216,18) = 198 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r1_r215,axiom,( k6_xcmplx_0(216,1) = 215 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r203_r13,axiom,( k6_xcmplx_0(216,203) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r216_r0,axiom,( k6_xcmplx_0(216,216) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r21_r195,axiom,( k6_xcmplx_0(216,21) = 195 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r252_rm36,axiom,( k6_xcmplx_0(216,252) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r216_r36_r180,axiom,( k6_xcmplx_0(216,36) = 180 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r414_rm198,axiom,( k6_xcmplx_0(216,414) = k4_xcmplx_0(198) )).
fof(rqRealDiff__k6_xcmplx_0__r216_r419_rm203,axiom,( k6_xcmplx_0(216,419) = k4_xcmplx_0(203) )).
fof(rqRealDiff__k6_xcmplx_0__r216_r4_r212,axiom,( k6_xcmplx_0(216,4) = 212 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r54_r162,axiom,( k6_xcmplx_0(216,54) = 162 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r57_r159,axiom,( k6_xcmplx_0(216,57) = 159 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r5_r211,axiom,( k6_xcmplx_0(216,5) = 211 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r6_r210,axiom,( k6_xcmplx_0(216,6) = 210 )).
fof(rqRealDiff__k6_xcmplx_0__r216_r72_r144,axiom,( k6_xcmplx_0(216,72) = 144 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r0_r21,axiom,( k6_xcmplx_0(21,0) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r10_r11,axiom,( k6_xcmplx_0(21,10) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r11_r10,axiom,( k6_xcmplx_0(21,11) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r126_rm105,axiom,( k6_xcmplx_0(21,126) = k4_xcmplx_0(105) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r12_r9,axiom,( k6_xcmplx_0(21,12) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r13_r8,axiom,( k6_xcmplx_0(21,13) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r14_r7,axiom,( k6_xcmplx_0(21,14) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r15_r6,axiom,( k6_xcmplx_0(21,15) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r16_r5,axiom,( k6_xcmplx_0(21,16) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r17_r4,axiom,( k6_xcmplx_0(21,17) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r18_r3,axiom,( k6_xcmplx_0(21,18) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r19_r2,axiom,( k6_xcmplx_0(21,19) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r1_r20,axiom,( k6_xcmplx_0(21,1) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r20_r1,axiom,( k6_xcmplx_0(21,20) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r21_r0,axiom,( k6_xcmplx_0(21,21) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r22_rm1,axiom,( k6_xcmplx_0(21,22) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r23_rm2,axiom,( k6_xcmplx_0(21,23) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r24_rm3,axiom,( k6_xcmplx_0(21,24) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r25_rm4,axiom,( k6_xcmplx_0(21,25) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r26_rm5,axiom,( k6_xcmplx_0(21,26) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r27_rm6,axiom,( k6_xcmplx_0(21,27) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r28_rm7,axiom,( k6_xcmplx_0(21,28) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r29_rm8,axiom,( k6_xcmplx_0(21,29) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r2_r19,axiom,( k6_xcmplx_0(21,2) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r30_rm9,axiom,( k6_xcmplx_0(21,30) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r31_rm10,axiom,( k6_xcmplx_0(21,31) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r32_rm11,axiom,( k6_xcmplx_0(21,32) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r33_rm12,axiom,( k6_xcmplx_0(21,33) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r34_rm13,axiom,( k6_xcmplx_0(21,34) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r35_rm14,axiom,( k6_xcmplx_0(21,35) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r36_rm15,axiom,( k6_xcmplx_0(21,36) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r37_rm16,axiom,( k6_xcmplx_0(21,37) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r38_rm17,axiom,( k6_xcmplx_0(21,38) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r39_rm18,axiom,( k6_xcmplx_0(21,39) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r3_r18,axiom,( k6_xcmplx_0(21,3) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r40_rm19,axiom,( k6_xcmplx_0(21,40) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r41_rm20,axiom,( k6_xcmplx_0(21,41) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r42_rm21,axiom,( k6_xcmplx_0(21,42) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r43_rm22,axiom,( k6_xcmplx_0(21,43) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r44_rm23,axiom,( k6_xcmplx_0(21,44) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r45_rm24,axiom,( k6_xcmplx_0(21,45) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r46_rm25,axiom,( k6_xcmplx_0(21,46) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r47_rm26,axiom,( k6_xcmplx_0(21,47) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r48_rm27,axiom,( k6_xcmplx_0(21,48) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r49_rm28,axiom,( k6_xcmplx_0(21,49) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r4_r17,axiom,( k6_xcmplx_0(21,4) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r50_rm29,axiom,( k6_xcmplx_0(21,50) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r51_rm30,axiom,( k6_xcmplx_0(21,51) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r52_rm31,axiom,( k6_xcmplx_0(21,52) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r53_rm32,axiom,( k6_xcmplx_0(21,53) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r54_rm33,axiom,( k6_xcmplx_0(21,54) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r55_rm34,axiom,( k6_xcmplx_0(21,55) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r56_rm35,axiom,( k6_xcmplx_0(21,56) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r57_rm36,axiom,( k6_xcmplx_0(21,57) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r58_rm37,axiom,( k6_xcmplx_0(21,58) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r59_rm38,axiom,( k6_xcmplx_0(21,59) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r5_r16,axiom,( k6_xcmplx_0(21,5) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r60_rm39,axiom,( k6_xcmplx_0(21,60) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r61_rm40,axiom,( k6_xcmplx_0(21,61) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r62_rm41,axiom,( k6_xcmplx_0(21,62) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r63_rm42,axiom,( k6_xcmplx_0(21,63) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r21_r6_r15,axiom,( k6_xcmplx_0(21,6) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r7_r14,axiom,( k6_xcmplx_0(21,7) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r8_r13,axiom,( k6_xcmplx_0(21,8) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r21_r9_r12,axiom,( k6_xcmplx_0(21,9) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r21_rn121d5_rnm16d5,axiom,( k6_xcmplx_0(21,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(16),5) )).
fof(rqRealDiff__k6_xcmplx_0__r21_rn1d2_rn41d2,axiom,( k6_xcmplx_0(21,k7_xcmplx_0(1,2)) = k7_xcmplx_0(41,2) )).
fof(rqRealDiff__k6_xcmplx_0__r21_rn7d10_rn203d10,axiom,( k6_xcmplx_0(21,k7_xcmplx_0(7,10)) = k7_xcmplx_0(203,10) )).
fof(rqRealDiff__k6_xcmplx_0__r220_r1_r219,axiom,( k6_xcmplx_0(220,1) = 219 )).
fof(rqRealDiff__k6_xcmplx_0__r225_r1_r224,axiom,( k6_xcmplx_0(225,1) = 224 )).
fof(rqRealDiff__k6_xcmplx_0__r225_r256_rm31,axiom,( k6_xcmplx_0(225,256) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r225_r2_r223,axiom,( k6_xcmplx_0(225,2) = 223 )).
fof(rqRealDiff__k6_xcmplx_0__r225_r35_r190,axiom,( k6_xcmplx_0(225,35) = 190 )).
fof(rqRealDiff__k6_xcmplx_0__r225_r6_r219,axiom,( k6_xcmplx_0(225,6) = 219 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r0_r22,axiom,( k6_xcmplx_0(22,0) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r10_r12,axiom,( k6_xcmplx_0(22,10) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r11_r11,axiom,( k6_xcmplx_0(22,11) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r1_r21,axiom,( k6_xcmplx_0(22,1) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r20_r2,axiom,( k6_xcmplx_0(22,20) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r21_r1,axiom,( k6_xcmplx_0(22,21) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r22_r0,axiom,( k6_xcmplx_0(22,22) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r23_rm1,axiom,( k6_xcmplx_0(22,23) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r24_rm2,axiom,( k6_xcmplx_0(22,24) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r25_rm3,axiom,( k6_xcmplx_0(22,25) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r26_rm4,axiom,( k6_xcmplx_0(22,26) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r27_rm5,axiom,( k6_xcmplx_0(22,27) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r28_rm6,axiom,( k6_xcmplx_0(22,28) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r29_rm7,axiom,( k6_xcmplx_0(22,29) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r2_r20,axiom,( k6_xcmplx_0(22,2) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r22_r30_rm8,axiom,( k6_xcmplx_0(22,30) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r31_rm9,axiom,( k6_xcmplx_0(22,31) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r32_rm10,axiom,( k6_xcmplx_0(22,32) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r33_rm11,axiom,( k6_xcmplx_0(22,33) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r34_rm12,axiom,( k6_xcmplx_0(22,34) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r35_rm13,axiom,( k6_xcmplx_0(22,35) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r36_rm14,axiom,( k6_xcmplx_0(22,36) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r37_rm15,axiom,( k6_xcmplx_0(22,37) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r38_rm16,axiom,( k6_xcmplx_0(22,38) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r39_rm17,axiom,( k6_xcmplx_0(22,39) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r40_rm18,axiom,( k6_xcmplx_0(22,40) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r41_rm19,axiom,( k6_xcmplx_0(22,41) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r42_rm20,axiom,( k6_xcmplx_0(22,42) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r43_rm21,axiom,( k6_xcmplx_0(22,43) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r44_rm22,axiom,( k6_xcmplx_0(22,44) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r45_rm23,axiom,( k6_xcmplx_0(22,45) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r46_rm24,axiom,( k6_xcmplx_0(22,46) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r47_rm25,axiom,( k6_xcmplx_0(22,47) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r48_rm26,axiom,( k6_xcmplx_0(22,48) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r49_rm27,axiom,( k6_xcmplx_0(22,49) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r50_rm28,axiom,( k6_xcmplx_0(22,50) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r512_rm490,axiom,( k6_xcmplx_0(22,512) = k4_xcmplx_0(490) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r51_rm29,axiom,( k6_xcmplx_0(22,51) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r52_rm30,axiom,( k6_xcmplx_0(22,52) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r53_rm31,axiom,( k6_xcmplx_0(22,53) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r54_rm32,axiom,( k6_xcmplx_0(22,54) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r55_rm33,axiom,( k6_xcmplx_0(22,55) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r56_rm34,axiom,( k6_xcmplx_0(22,56) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r57_rm35,axiom,( k6_xcmplx_0(22,57) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r58_rm36,axiom,( k6_xcmplx_0(22,58) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r59_rm37,axiom,( k6_xcmplx_0(22,59) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r60_rm38,axiom,( k6_xcmplx_0(22,60) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r61_rm39,axiom,( k6_xcmplx_0(22,61) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r62_rm40,axiom,( k6_xcmplx_0(22,62) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r63_rm41,axiom,( k6_xcmplx_0(22,63) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r22_r8_r14,axiom,( k6_xcmplx_0(22,8) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r22_rm2_r24,axiom,( k6_xcmplx_0(22,k4_xcmplx_0(2)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r22_rn121d5_rnm11d5,axiom,( k6_xcmplx_0(22,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(11),5) )).
fof(rqRealDiff__k6_xcmplx_0__r22_rn1d10_rn219d10,axiom,( k6_xcmplx_0(22,k7_xcmplx_0(1,10)) = k7_xcmplx_0(219,10) )).
fof(rqRealDiff__k6_xcmplx_0__r22_rn243d10_rnm23d10,axiom,( k6_xcmplx_0(22,k7_xcmplx_0(243,10)) = k7_xcmplx_0(k4_xcmplx_0(23),10) )).
fof(rqRealDiff__k6_xcmplx_0__r236_r119_r117,axiom,( k6_xcmplx_0(236,119) = 117 )).
fof(rqRealDiff__k6_xcmplx_0__r236_r1_r235,axiom,( k6_xcmplx_0(236,1) = 235 )).
fof(rqRealDiff__k6_xcmplx_0__r236_r236_r0,axiom,( k6_xcmplx_0(236,236) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r236_r30_r206,axiom,( k6_xcmplx_0(236,30) = 206 )).
fof(rqRealDiff__k6_xcmplx_0__r236_r3_r233,axiom,( k6_xcmplx_0(236,3) = 233 )).
fof(rqRealDiff__k6_xcmplx_0__r236_r6_r230,axiom,( k6_xcmplx_0(236,6) = 230 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r0_r23,axiom,( k6_xcmplx_0(23,0) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r11_r12,axiom,( k6_xcmplx_0(23,11) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r12_r11,axiom,( k6_xcmplx_0(23,12) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r13_r10,axiom,( k6_xcmplx_0(23,13) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r14_r9,axiom,( k6_xcmplx_0(23,14) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r16_r7,axiom,( k6_xcmplx_0(23,16) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r17_r6,axiom,( k6_xcmplx_0(23,17) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r18_r5,axiom,( k6_xcmplx_0(23,18) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r19_r4,axiom,( k6_xcmplx_0(23,19) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r1_r22,axiom,( k6_xcmplx_0(23,1) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r20_r3,axiom,( k6_xcmplx_0(23,20) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r21_r2,axiom,( k6_xcmplx_0(23,21) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r22_r1,axiom,( k6_xcmplx_0(23,22) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r23_r0,axiom,( k6_xcmplx_0(23,23) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r24_rm1,axiom,( k6_xcmplx_0(23,24) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r256_rm233,axiom,( k6_xcmplx_0(23,256) = k4_xcmplx_0(233) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r25_rm2,axiom,( k6_xcmplx_0(23,25) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r26_rm3,axiom,( k6_xcmplx_0(23,26) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r27_rm4,axiom,( k6_xcmplx_0(23,27) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r28_rm5,axiom,( k6_xcmplx_0(23,28) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r29_rm6,axiom,( k6_xcmplx_0(23,29) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r2_r21,axiom,( k6_xcmplx_0(23,2) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r30_rm7,axiom,( k6_xcmplx_0(23,30) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r31_rm8,axiom,( k6_xcmplx_0(23,31) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r32_rm9,axiom,( k6_xcmplx_0(23,32) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r33_rm10,axiom,( k6_xcmplx_0(23,33) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r342_rm319,axiom,( k6_xcmplx_0(23,342) = k4_xcmplx_0(319) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r343_rm320,axiom,( k6_xcmplx_0(23,343) = k4_xcmplx_0(320) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r344_rm321,axiom,( k6_xcmplx_0(23,344) = k4_xcmplx_0(321) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r345_rm322,axiom,( k6_xcmplx_0(23,345) = k4_xcmplx_0(322) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r346_rm323,axiom,( k6_xcmplx_0(23,346) = k4_xcmplx_0(323) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r347_rm324,axiom,( k6_xcmplx_0(23,347) = k4_xcmplx_0(324) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r348_rm325,axiom,( k6_xcmplx_0(23,348) = k4_xcmplx_0(325) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r349_rm326,axiom,( k6_xcmplx_0(23,349) = k4_xcmplx_0(326) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r34_rm11,axiom,( k6_xcmplx_0(23,34) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r350_rm327,axiom,( k6_xcmplx_0(23,350) = k4_xcmplx_0(327) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r351_rm328,axiom,( k6_xcmplx_0(23,351) = k4_xcmplx_0(328) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r352_rm329,axiom,( k6_xcmplx_0(23,352) = k4_xcmplx_0(329) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r353_rm330,axiom,( k6_xcmplx_0(23,353) = k4_xcmplx_0(330) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r354_rm331,axiom,( k6_xcmplx_0(23,354) = k4_xcmplx_0(331) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r355_rm332,axiom,( k6_xcmplx_0(23,355) = k4_xcmplx_0(332) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r356_rm333,axiom,( k6_xcmplx_0(23,356) = k4_xcmplx_0(333) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r357_rm334,axiom,( k6_xcmplx_0(23,357) = k4_xcmplx_0(334) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r358_rm335,axiom,( k6_xcmplx_0(23,358) = k4_xcmplx_0(335) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r359_rm336,axiom,( k6_xcmplx_0(23,359) = k4_xcmplx_0(336) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r35_rm12,axiom,( k6_xcmplx_0(23,35) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r360_rm337,axiom,( k6_xcmplx_0(23,360) = k4_xcmplx_0(337) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r361_rm338,axiom,( k6_xcmplx_0(23,361) = k4_xcmplx_0(338) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r362_rm339,axiom,( k6_xcmplx_0(23,362) = k4_xcmplx_0(339) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r363_rm340,axiom,( k6_xcmplx_0(23,363) = k4_xcmplx_0(340) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r364_rm341,axiom,( k6_xcmplx_0(23,364) = k4_xcmplx_0(341) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r365_rm342,axiom,( k6_xcmplx_0(23,365) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r36_rm13,axiom,( k6_xcmplx_0(23,36) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r37_rm14,axiom,( k6_xcmplx_0(23,37) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r38_rm15,axiom,( k6_xcmplx_0(23,38) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r39_rm16,axiom,( k6_xcmplx_0(23,39) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r3_r20,axiom,( k6_xcmplx_0(23,3) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r40_rm17,axiom,( k6_xcmplx_0(23,40) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r41_rm18,axiom,( k6_xcmplx_0(23,41) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r42_rm19,axiom,( k6_xcmplx_0(23,42) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r43_rm20,axiom,( k6_xcmplx_0(23,43) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r44_rm21,axiom,( k6_xcmplx_0(23,44) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r45_rm22,axiom,( k6_xcmplx_0(23,45) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r46_rm23,axiom,( k6_xcmplx_0(23,46) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r47_rm24,axiom,( k6_xcmplx_0(23,47) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r48_rm25,axiom,( k6_xcmplx_0(23,48) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r49_rm26,axiom,( k6_xcmplx_0(23,49) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r50_rm27,axiom,( k6_xcmplx_0(23,50) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r512_rm489,axiom,( k6_xcmplx_0(23,512) = k4_xcmplx_0(489) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r51_rm28,axiom,( k6_xcmplx_0(23,51) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r52_rm29,axiom,( k6_xcmplx_0(23,52) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r53_rm30,axiom,( k6_xcmplx_0(23,53) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r54_rm31,axiom,( k6_xcmplx_0(23,54) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r55_rm32,axiom,( k6_xcmplx_0(23,55) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r56_rm33,axiom,( k6_xcmplx_0(23,56) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r57_rm34,axiom,( k6_xcmplx_0(23,57) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r58_rm35,axiom,( k6_xcmplx_0(23,58) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r59_rm36,axiom,( k6_xcmplx_0(23,59) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r5_r18,axiom,( k6_xcmplx_0(23,5) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r60_rm37,axiom,( k6_xcmplx_0(23,60) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r61_rm38,axiom,( k6_xcmplx_0(23,61) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r62_rm39,axiom,( k6_xcmplx_0(23,62) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r63_rm40,axiom,( k6_xcmplx_0(23,63) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r23_r6_r17,axiom,( k6_xcmplx_0(23,6) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r8_r15,axiom,( k6_xcmplx_0(23,8) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r23_r9_r14,axiom,( k6_xcmplx_0(23,9) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r23_rm23_r46,axiom,( k6_xcmplx_0(23,k4_xcmplx_0(23)) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r23_rm2_r25,axiom,( k6_xcmplx_0(23,k4_xcmplx_0(2)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r23_rm38_r61,axiom,( k6_xcmplx_0(23,k4_xcmplx_0(38)) = 61 )).
fof(rqRealDiff__k6_xcmplx_0__r23_rn121d5_rnm6d5,axiom,( k6_xcmplx_0(23,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealDiff__k6_xcmplx_0__r23_rnm1d5_rn116d5,axiom,( k6_xcmplx_0(23,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(116,5) )).
fof(rqRealDiff__k6_xcmplx_0__r240_r240_r0,axiom,( k6_xcmplx_0(240,240) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r240_r256_rm16,axiom,( k6_xcmplx_0(240,256) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r241_r15_r226,axiom,( k6_xcmplx_0(241,15) = 226 )).
fof(rqRealDiff__k6_xcmplx_0__r241_r1_r240,axiom,( k6_xcmplx_0(241,1) = 240 )).
fof(rqRealDiff__k6_xcmplx_0__r241_r225_r16,axiom,( k6_xcmplx_0(241,225) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r241_r241_r0,axiom,( k6_xcmplx_0(241,241) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r241_r255_rm14,axiom,( k6_xcmplx_0(241,255) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r241_r256_rm15,axiom,( k6_xcmplx_0(241,256) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r241_r2_r239,axiom,( k6_xcmplx_0(241,2) = 239 )).
fof(rqRealDiff__k6_xcmplx_0__r241_r3_r238,axiom,( k6_xcmplx_0(241,3) = 238 )).
fof(rqRealDiff__k6_xcmplx_0__r241_r64_r177,axiom,( k6_xcmplx_0(241,64) = 177 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r119_r123,axiom,( k6_xcmplx_0(242,119) = 123 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r1_r241,axiom,( k6_xcmplx_0(242,1) = 241 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r236_r6,axiom,( k6_xcmplx_0(242,236) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r242_r0,axiom,( k6_xcmplx_0(242,242) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r2_r240,axiom,( k6_xcmplx_0(242,2) = 240 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r30_r212,axiom,( k6_xcmplx_0(242,30) = 212 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r3_r239,axiom,( k6_xcmplx_0(242,3) = 239 )).
fof(rqRealDiff__k6_xcmplx_0__r242_r6_r236,axiom,( k6_xcmplx_0(242,6) = 236 )).
fof(rqRealDiff__k6_xcmplx_0__r242_rm1_r243,axiom,( k6_xcmplx_0(242,k4_xcmplx_0(1)) = 243 )).
fof(rqRealDiff__k6_xcmplx_0__r243_r243_r0,axiom,( k6_xcmplx_0(243,243) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r248_r256_rm8,axiom,( k6_xcmplx_0(248,256) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r249_r136_r113,axiom,( k6_xcmplx_0(249,136) = 113 )).
fof(rqRealDiff__k6_xcmplx_0__r249_r16_r233,axiom,( k6_xcmplx_0(249,16) = 233 )).
fof(rqRealDiff__k6_xcmplx_0__r249_r1_r248,axiom,( k6_xcmplx_0(249,1) = 248 )).
fof(rqRealDiff__k6_xcmplx_0__r249_r241_r8,axiom,( k6_xcmplx_0(249,241) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r249_r256_rm7,axiom,( k6_xcmplx_0(249,256) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r249_r2_r247,axiom,( k6_xcmplx_0(249,2) = 247 )).
fof(rqRealDiff__k6_xcmplx_0__r249_r3_r246,axiom,( k6_xcmplx_0(249,3) = 246 )).
fof(rqRealDiff__k6_xcmplx_0__r249_r71_r178,axiom,( k6_xcmplx_0(249,71) = 178 )).
fof(rqRealDiff__k6_xcmplx_0__r249_r83_r166,axiom,( k6_xcmplx_0(249,83) = 166 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r0_r24,axiom,( k6_xcmplx_0(24,0) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r10_r14,axiom,( k6_xcmplx_0(24,10) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r119_rm95,axiom,( k6_xcmplx_0(24,119) = k4_xcmplx_0(95) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r11_r13,axiom,( k6_xcmplx_0(24,11) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r120_rm96,axiom,( k6_xcmplx_0(24,120) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r12_r12,axiom,( k6_xcmplx_0(24,12) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r13_r11,axiom,( k6_xcmplx_0(24,13) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r14_r10,axiom,( k6_xcmplx_0(24,14) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r15_r9,axiom,( k6_xcmplx_0(24,15) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r16_r8,axiom,( k6_xcmplx_0(24,16) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r17_r7,axiom,( k6_xcmplx_0(24,17) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r18_r6,axiom,( k6_xcmplx_0(24,18) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r19_r5,axiom,( k6_xcmplx_0(24,19) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r1_r23,axiom,( k6_xcmplx_0(24,1) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r20_r4,axiom,( k6_xcmplx_0(24,20) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r21_r3,axiom,( k6_xcmplx_0(24,21) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r22_r2,axiom,( k6_xcmplx_0(24,22) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r236_rm212,axiom,( k6_xcmplx_0(24,236) = k4_xcmplx_0(212) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r23_r1,axiom,( k6_xcmplx_0(24,23) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r242_rm218,axiom,( k6_xcmplx_0(24,242) = k4_xcmplx_0(218) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r24_r0,axiom,( k6_xcmplx_0(24,24) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r25_rm1,axiom,( k6_xcmplx_0(24,25) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r26_rm2,axiom,( k6_xcmplx_0(24,26) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r27_rm3,axiom,( k6_xcmplx_0(24,27) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r28_rm4,axiom,( k6_xcmplx_0(24,28) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r29_rm5,axiom,( k6_xcmplx_0(24,29) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r2_r22,axiom,( k6_xcmplx_0(24,2) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r30_rm6,axiom,( k6_xcmplx_0(24,30) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r31_rm7,axiom,( k6_xcmplx_0(24,31) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r32_rm8,axiom,( k6_xcmplx_0(24,32) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r33_rm9,axiom,( k6_xcmplx_0(24,33) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r34_rm10,axiom,( k6_xcmplx_0(24,34) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r35_rm11,axiom,( k6_xcmplx_0(24,35) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r36_rm12,axiom,( k6_xcmplx_0(24,36) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r37_rm13,axiom,( k6_xcmplx_0(24,37) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r38_rm14,axiom,( k6_xcmplx_0(24,38) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r39_rm15,axiom,( k6_xcmplx_0(24,39) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r3_r21,axiom,( k6_xcmplx_0(24,3) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r40_rm16,axiom,( k6_xcmplx_0(24,40) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r41_rm17,axiom,( k6_xcmplx_0(24,41) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r42_rm18,axiom,( k6_xcmplx_0(24,42) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r43_rm19,axiom,( k6_xcmplx_0(24,43) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r44_rm20,axiom,( k6_xcmplx_0(24,44) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r45_rm21,axiom,( k6_xcmplx_0(24,45) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r46_rm22,axiom,( k6_xcmplx_0(24,46) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r47_rm23,axiom,( k6_xcmplx_0(24,47) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r48_rm24,axiom,( k6_xcmplx_0(24,48) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r49_rm25,axiom,( k6_xcmplx_0(24,49) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r4_r20,axiom,( k6_xcmplx_0(24,4) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r50_rm26,axiom,( k6_xcmplx_0(24,50) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r51_rm27,axiom,( k6_xcmplx_0(24,51) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r52_rm28,axiom,( k6_xcmplx_0(24,52) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r53_rm29,axiom,( k6_xcmplx_0(24,53) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r54_rm30,axiom,( k6_xcmplx_0(24,54) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r55_rm31,axiom,( k6_xcmplx_0(24,55) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r56_rm32,axiom,( k6_xcmplx_0(24,56) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r57_rm33,axiom,( k6_xcmplx_0(24,57) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r58_rm34,axiom,( k6_xcmplx_0(24,58) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r59_rm35,axiom,( k6_xcmplx_0(24,59) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r5_r19,axiom,( k6_xcmplx_0(24,5) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r60_rm36,axiom,( k6_xcmplx_0(24,60) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r61_rm37,axiom,( k6_xcmplx_0(24,61) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r62_rm38,axiom,( k6_xcmplx_0(24,62) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r63_rm39,axiom,( k6_xcmplx_0(24,63) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r64_rm40,axiom,( k6_xcmplx_0(24,64) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r6_r18,axiom,( k6_xcmplx_0(24,6) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r72_rm48,axiom,( k6_xcmplx_0(24,72) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r24_r7_r17,axiom,( k6_xcmplx_0(24,7) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r8_r16,axiom,( k6_xcmplx_0(24,8) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r24_r9_r15,axiom,( k6_xcmplx_0(24,9) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm12_r36,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(12)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm16_r40,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(16)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm18_r42,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(18)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm1_r25,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(1)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm24_r48,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(24)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm27_r51,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(27)) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm2_r26,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(2)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm30_r54,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(30)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm32_r56,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(32)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm35_r59,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(35)) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm36_r60,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(36)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm38_r62,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(38)) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm3_r27,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(3)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm4_r28,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(4)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm6_r30,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(6)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm8_r32,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(8)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rm9_r33,axiom,( k6_xcmplx_0(24,k4_xcmplx_0(9)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn121d5_rnm1d5,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn1d10_rn239d10,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(1,10)) = k7_xcmplx_0(239,10) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn1d3_rn71d3,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(1,3)) = k7_xcmplx_0(71,3) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn1d6_rn143d6,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(1,6)) = k7_xcmplx_0(143,6) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn1d8_rn191d8,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(1,8)) = k7_xcmplx_0(191,8) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn241d10_rnm1d10,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(241,10)) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn243d10_rnm3d10,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(243,10)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rn5d8_rn187d8,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(5,8)) = k7_xcmplx_0(187,8) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rnm121d5_rn241d5,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(121),5)) = k7_xcmplx_0(241,5) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rnm1d10_rn241d10,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(241,10) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rnm1d2_rn49d2,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(49,2) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rnm1d5_rn121d5,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(121,5) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rnm2d3_rn74d3,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(74,3) )).
fof(rqRealDiff__k6_xcmplx_0__r24_rnm3d10_rn243d10,axiom,( k6_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(3),10)) = k7_xcmplx_0(243,10) )).
fof(rqRealDiff__k6_xcmplx_0__r250_r1_r249,axiom,( k6_xcmplx_0(250,1) = 249 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r108_r144,axiom,( k6_xcmplx_0(252,108) = 144 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r126_r126,axiom,( k6_xcmplx_0(252,126) = 126 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r1_r251,axiom,( k6_xcmplx_0(252,1) = 251 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r203_r49,axiom,( k6_xcmplx_0(252,203) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r21_r231,axiom,( k6_xcmplx_0(252,21) = 231 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r252_r0,axiom,( k6_xcmplx_0(252,252) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r36_r216,axiom,( k6_xcmplx_0(252,36) = 216 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r414_rm162,axiom,( k6_xcmplx_0(252,414) = k4_xcmplx_0(162) )).
fof(rqRealDiff__k6_xcmplx_0__r252_r4_r248,axiom,( k6_xcmplx_0(252,4) = 248 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r54_r198,axiom,( k6_xcmplx_0(252,54) = 198 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r57_r195,axiom,( k6_xcmplx_0(252,57) = 195 )).
fof(rqRealDiff__k6_xcmplx_0__r252_r5_r247,axiom,( k6_xcmplx_0(252,5) = 247 )).
fof(rqRealDiff__k6_xcmplx_0__r255_r255_r0,axiom,( k6_xcmplx_0(255,255) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r255_r256_rm1,axiom,( k6_xcmplx_0(255,256) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r255_r2_r253,axiom,( k6_xcmplx_0(255,2) = 253 )).
fof(rqRealDiff__k6_xcmplx_0__r255_r673_rm418,axiom,( k6_xcmplx_0(255,673) = k4_xcmplx_0(418) )).
fof(rqRealDiff__k6_xcmplx_0__r255_r97_r158,axiom,( k6_xcmplx_0(255,97) = 158 )).
fof(rqRealDiff__k6_xcmplx_0__r255_rm1_r256,axiom,( k6_xcmplx_0(255,k4_xcmplx_0(1)) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__r256_cr1r0_crm1r256,axiom,( k6_xcmplx_0(256,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),256) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r0_r256,axiom,( k6_xcmplx_0(256,0) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r110_r146,axiom,( k6_xcmplx_0(256,110) = 146 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r11_r245,axiom,( k6_xcmplx_0(256,11) = 245 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r128_r128,axiom,( k6_xcmplx_0(256,128) = 128 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r12_r244,axiom,( k6_xcmplx_0(256,12) = 244 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r14_r242,axiom,( k6_xcmplx_0(256,14) = 242 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r164_r92,axiom,( k6_xcmplx_0(256,164) = 92 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r16_r240,axiom,( k6_xcmplx_0(256,16) = 240 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r172_r84,axiom,( k6_xcmplx_0(256,172) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r17_r239,axiom,( k6_xcmplx_0(256,17) = 239 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r192_r64,axiom,( k6_xcmplx_0(256,192) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r1_r255,axiom,( k6_xcmplx_0(256,1) = 255 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r225_r31,axiom,( k6_xcmplx_0(256,225) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r22_r234,axiom,( k6_xcmplx_0(256,22) = 234 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r241_r15,axiom,( k6_xcmplx_0(256,241) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r255_r1,axiom,( k6_xcmplx_0(256,255) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r256_r0,axiom,( k6_xcmplx_0(256,256) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r257_rm1,axiom,( k6_xcmplx_0(256,257) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r263_rm7,axiom,( k6_xcmplx_0(256,263) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r2_r254,axiom,( k6_xcmplx_0(256,2) = 254 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r325_rm69,axiom,( k6_xcmplx_0(256,325) = k4_xcmplx_0(69) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r32_r224,axiom,( k6_xcmplx_0(256,32) = 224 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r332_rm76,axiom,( k6_xcmplx_0(256,332) = k4_xcmplx_0(76) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r3_r253,axiom,( k6_xcmplx_0(256,3) = 253 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r446_rm190,axiom,( k6_xcmplx_0(256,446) = k4_xcmplx_0(190) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r48_r208,axiom,( k6_xcmplx_0(256,48) = 208 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r4_r252,axiom,( k6_xcmplx_0(256,4) = 252 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r512_rm256,axiom,( k6_xcmplx_0(256,512) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r5_r251,axiom,( k6_xcmplx_0(256,5) = 251 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r64_r192,axiom,( k6_xcmplx_0(256,64) = 192 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r673_rm417,axiom,( k6_xcmplx_0(256,673) = k4_xcmplx_0(417) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r6_r250,axiom,( k6_xcmplx_0(256,6) = 250 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r768_rm512,axiom,( k6_xcmplx_0(256,768) = k4_xcmplx_0(512) )).
fof(rqRealDiff__k6_xcmplx_0__r256_r81_r175,axiom,( k6_xcmplx_0(256,81) = 175 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r8_r248,axiom,( k6_xcmplx_0(256,8) = 248 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r96_r160,axiom,( k6_xcmplx_0(256,96) = 160 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r97_r159,axiom,( k6_xcmplx_0(256,97) = 159 )).
fof(rqRealDiff__k6_xcmplx_0__r256_r9_r247,axiom,( k6_xcmplx_0(256,9) = 247 )).
fof(rqRealDiff__k6_xcmplx_0__r256_rm1_r257,axiom,( k6_xcmplx_0(256,k4_xcmplx_0(1)) = 257 )).
fof(rqRealDiff__k6_xcmplx_0__r256_rm256_r512,axiom,( k6_xcmplx_0(256,k4_xcmplx_0(256)) = 512 )).
fof(rqRealDiff__k6_xcmplx_0__r256_rm512_r768,axiom,( k6_xcmplx_0(256,k4_xcmplx_0(512)) = 768 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r0_r257,axiom,( k6_xcmplx_0(257,0) = 257 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r128_r129,axiom,( k6_xcmplx_0(257,128) = 129 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r136_r121,axiom,( k6_xcmplx_0(257,136) = 121 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r15_r242,axiom,( k6_xcmplx_0(257,15) = 242 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r197_r60,axiom,( k6_xcmplx_0(257,197) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r1_r256,axiom,( k6_xcmplx_0(257,1) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r225_r32,axiom,( k6_xcmplx_0(257,225) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r241_r16,axiom,( k6_xcmplx_0(257,241) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r249_r8,axiom,( k6_xcmplx_0(257,249) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r256_r1,axiom,( k6_xcmplx_0(257,256) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r257_r0,axiom,( k6_xcmplx_0(257,257) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r25_r232,axiom,( k6_xcmplx_0(257,25) = 232 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r2_r255,axiom,( k6_xcmplx_0(257,2) = 255 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r32_r225,axiom,( k6_xcmplx_0(257,32) = 225 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r3_r254,axiom,( k6_xcmplx_0(257,3) = 254 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r4_r253,axiom,( k6_xcmplx_0(257,4) = 253 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r64_r193,axiom,( k6_xcmplx_0(257,64) = 193 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r71_r186,axiom,( k6_xcmplx_0(257,71) = 186 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r83_r174,axiom,( k6_xcmplx_0(257,83) = 174 )).
fof(rqRealDiff__k6_xcmplx_0__r257_r8_r249,axiom,( k6_xcmplx_0(257,8) = 249 )).
fof(rqRealDiff__k6_xcmplx_0__r257_rm1_r258,axiom,( k6_xcmplx_0(257,k4_xcmplx_0(1)) = 258 )).
fof(rqRealDiff__k6_xcmplx_0__r258_rm1_r259,axiom,( k6_xcmplx_0(258,k4_xcmplx_0(1)) = 259 )).
fof(rqRealDiff__k6_xcmplx_0__r259_rm1_r260,axiom,( k6_xcmplx_0(259,k4_xcmplx_0(1)) = 260 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r0_r25,axiom,( k6_xcmplx_0(25,0) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r10_r15,axiom,( k6_xcmplx_0(25,10) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r11_r14,axiom,( k6_xcmplx_0(25,11) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r12_r13,axiom,( k6_xcmplx_0(25,12) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r13_r12,axiom,( k6_xcmplx_0(25,13) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r14_r11,axiom,( k6_xcmplx_0(25,14) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r15_r10,axiom,( k6_xcmplx_0(25,15) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r16_r9,axiom,( k6_xcmplx_0(25,16) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r17_r8,axiom,( k6_xcmplx_0(25,17) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r18_r7,axiom,( k6_xcmplx_0(25,18) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r19_r6,axiom,( k6_xcmplx_0(25,19) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r1_r24,axiom,( k6_xcmplx_0(25,1) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r20_r5,axiom,( k6_xcmplx_0(25,20) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r21_r4,axiom,( k6_xcmplx_0(25,21) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r22_r3,axiom,( k6_xcmplx_0(25,22) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r23_r2,axiom,( k6_xcmplx_0(25,23) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r24_r1,axiom,( k6_xcmplx_0(25,24) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r256_rm231,axiom,( k6_xcmplx_0(25,256) = k4_xcmplx_0(231) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r25_r0,axiom,( k6_xcmplx_0(25,25) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r26_rm1,axiom,( k6_xcmplx_0(25,26) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r27_rm2,axiom,( k6_xcmplx_0(25,27) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r28_rm3,axiom,( k6_xcmplx_0(25,28) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r29_rm4,axiom,( k6_xcmplx_0(25,29) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r2_r23,axiom,( k6_xcmplx_0(25,2) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r30_rm5,axiom,( k6_xcmplx_0(25,30) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r31_rm6,axiom,( k6_xcmplx_0(25,31) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r32_rm7,axiom,( k6_xcmplx_0(25,32) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r33_rm8,axiom,( k6_xcmplx_0(25,33) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r34_rm9,axiom,( k6_xcmplx_0(25,34) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r35_rm10,axiom,( k6_xcmplx_0(25,35) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r36_rm11,axiom,( k6_xcmplx_0(25,36) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r37_rm12,axiom,( k6_xcmplx_0(25,37) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r38_rm13,axiom,( k6_xcmplx_0(25,38) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r39_rm14,axiom,( k6_xcmplx_0(25,39) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r3_r22,axiom,( k6_xcmplx_0(25,3) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r40_rm15,axiom,( k6_xcmplx_0(25,40) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r41_rm16,axiom,( k6_xcmplx_0(25,41) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r42_rm17,axiom,( k6_xcmplx_0(25,42) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r43_rm18,axiom,( k6_xcmplx_0(25,43) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r44_rm19,axiom,( k6_xcmplx_0(25,44) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r45_rm20,axiom,( k6_xcmplx_0(25,45) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r46_rm21,axiom,( k6_xcmplx_0(25,46) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r47_rm22,axiom,( k6_xcmplx_0(25,47) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r48_rm23,axiom,( k6_xcmplx_0(25,48) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r49_rm24,axiom,( k6_xcmplx_0(25,49) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r4_r21,axiom,( k6_xcmplx_0(25,4) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r50_rm25,axiom,( k6_xcmplx_0(25,50) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r51_rm26,axiom,( k6_xcmplx_0(25,51) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r52_rm27,axiom,( k6_xcmplx_0(25,52) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r53_rm28,axiom,( k6_xcmplx_0(25,53) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r54_rm29,axiom,( k6_xcmplx_0(25,54) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r55_rm30,axiom,( k6_xcmplx_0(25,55) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r56_rm31,axiom,( k6_xcmplx_0(25,56) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r57_rm32,axiom,( k6_xcmplx_0(25,57) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r58_rm33,axiom,( k6_xcmplx_0(25,58) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r59_rm34,axiom,( k6_xcmplx_0(25,59) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r5_r20,axiom,( k6_xcmplx_0(25,5) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r60_rm35,axiom,( k6_xcmplx_0(25,60) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r61_rm36,axiom,( k6_xcmplx_0(25,61) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r62_rm37,axiom,( k6_xcmplx_0(25,62) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r63_rm38,axiom,( k6_xcmplx_0(25,63) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r25_r6_r19,axiom,( k6_xcmplx_0(25,6) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r7_r18,axiom,( k6_xcmplx_0(25,7) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r8_r17,axiom,( k6_xcmplx_0(25,8) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r25_r9_r16,axiom,( k6_xcmplx_0(25,9) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r25_rm16_r41,axiom,( k6_xcmplx_0(25,k4_xcmplx_0(16)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r25_rm1_r26,axiom,( k6_xcmplx_0(25,k4_xcmplx_0(1)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r25_rm25_r50,axiom,( k6_xcmplx_0(25,k4_xcmplx_0(25)) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r25_rm2_r27,axiom,( k6_xcmplx_0(25,k4_xcmplx_0(2)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r25_rm38_r63,axiom,( k6_xcmplx_0(25,k4_xcmplx_0(38)) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r25_rm57_r82,axiom,( k6_xcmplx_0(25,k4_xcmplx_0(57)) = 82 )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn1d16_rn399d16,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(1,16)) = k7_xcmplx_0(399,16) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn1d36_rn899d36,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(1,36)) = k7_xcmplx_0(899,36) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn1d6_rn149d6,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(1,6)) = k7_xcmplx_0(149,6) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn1d8_rn199d8,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(1,8)) = k7_xcmplx_0(199,8) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn4d5_rn121d5,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(4,5)) = k7_xcmplx_0(121,5) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn55d2_rnm5d2,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(55,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn5d2_rn45d2,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(5,2)) = k7_xcmplx_0(45,2) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rn5d8_rn195d8,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(5,8)) = k7_xcmplx_0(195,8) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rnm1d2_rn51d2,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(51,2) )).
fof(rqRealDiff__k6_xcmplx_0__r25_rnm25d36_rn925d36,axiom,( k6_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(925,36) )).
fof(rqRealDiff__k6_xcmplx_0__r263_r172_r91,axiom,( k6_xcmplx_0(263,172) = 91 )).
fof(rqRealDiff__k6_xcmplx_0__r263_r2_r261,axiom,( k6_xcmplx_0(263,2) = 261 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r0_r26,axiom,( k6_xcmplx_0(26,0) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r10_r16,axiom,( k6_xcmplx_0(26,10) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r11_r15,axiom,( k6_xcmplx_0(26,11) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r12_r14,axiom,( k6_xcmplx_0(26,12) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r13_r13,axiom,( k6_xcmplx_0(26,13) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r14_r12,axiom,( k6_xcmplx_0(26,14) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r15_r11,axiom,( k6_xcmplx_0(26,15) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r16_r10,axiom,( k6_xcmplx_0(26,16) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r17_r9,axiom,( k6_xcmplx_0(26,17) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r18_r8,axiom,( k6_xcmplx_0(26,18) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r19_r7,axiom,( k6_xcmplx_0(26,19) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r1_r25,axiom,( k6_xcmplx_0(26,1) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r20_r6,axiom,( k6_xcmplx_0(26,20) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r21_r5,axiom,( k6_xcmplx_0(26,21) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r22_r4,axiom,( k6_xcmplx_0(26,22) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r23_r3,axiom,( k6_xcmplx_0(26,23) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r24_r2,axiom,( k6_xcmplx_0(26,24) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r25_r1,axiom,( k6_xcmplx_0(26,25) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r26_r0,axiom,( k6_xcmplx_0(26,26) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r27_rm1,axiom,( k6_xcmplx_0(26,27) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r28_rm2,axiom,( k6_xcmplx_0(26,28) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r29_rm3,axiom,( k6_xcmplx_0(26,29) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r2_r24,axiom,( k6_xcmplx_0(26,2) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r30_rm4,axiom,( k6_xcmplx_0(26,30) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r31_rm5,axiom,( k6_xcmplx_0(26,31) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r32_rm6,axiom,( k6_xcmplx_0(26,32) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r33_rm7,axiom,( k6_xcmplx_0(26,33) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r34_rm8,axiom,( k6_xcmplx_0(26,34) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r35_rm9,axiom,( k6_xcmplx_0(26,35) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r36_rm10,axiom,( k6_xcmplx_0(26,36) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r37_rm11,axiom,( k6_xcmplx_0(26,37) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r38_rm12,axiom,( k6_xcmplx_0(26,38) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r39_rm13,axiom,( k6_xcmplx_0(26,39) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r40_rm14,axiom,( k6_xcmplx_0(26,40) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r41_rm15,axiom,( k6_xcmplx_0(26,41) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r42_rm16,axiom,( k6_xcmplx_0(26,42) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r43_rm17,axiom,( k6_xcmplx_0(26,43) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r44_rm18,axiom,( k6_xcmplx_0(26,44) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r45_rm19,axiom,( k6_xcmplx_0(26,45) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r46_rm20,axiom,( k6_xcmplx_0(26,46) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r47_rm21,axiom,( k6_xcmplx_0(26,47) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r48_rm22,axiom,( k6_xcmplx_0(26,48) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r49_rm23,axiom,( k6_xcmplx_0(26,49) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r50_rm24,axiom,( k6_xcmplx_0(26,50) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r51_rm25,axiom,( k6_xcmplx_0(26,51) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r52_rm26,axiom,( k6_xcmplx_0(26,52) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r53_rm27,axiom,( k6_xcmplx_0(26,53) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r54_rm28,axiom,( k6_xcmplx_0(26,54) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r55_rm29,axiom,( k6_xcmplx_0(26,55) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r56_rm30,axiom,( k6_xcmplx_0(26,56) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r57_rm31,axiom,( k6_xcmplx_0(26,57) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r58_rm32,axiom,( k6_xcmplx_0(26,58) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r59_rm33,axiom,( k6_xcmplx_0(26,59) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r60_rm34,axiom,( k6_xcmplx_0(26,60) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r61_rm35,axiom,( k6_xcmplx_0(26,61) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r62_rm36,axiom,( k6_xcmplx_0(26,62) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r63_rm37,axiom,( k6_xcmplx_0(26,63) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r26_r6_r20,axiom,( k6_xcmplx_0(26,6) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r7_r19,axiom,( k6_xcmplx_0(26,7) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r8_r18,axiom,( k6_xcmplx_0(26,8) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r26_r9_r17,axiom,( k6_xcmplx_0(26,9) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r26_rm1_r27,axiom,( k6_xcmplx_0(26,k4_xcmplx_0(1)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r26_rm3_r29,axiom,( k6_xcmplx_0(26,k4_xcmplx_0(3)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r274_r11_r263,axiom,( k6_xcmplx_0(274,11) = 263 )).
fof(rqRealDiff__k6_xcmplx_0__r274_r1_r273,axiom,( k6_xcmplx_0(274,1) = 273 )).
fof(rqRealDiff__k6_xcmplx_0__r274_r3_r271,axiom,( k6_xcmplx_0(274,3) = 271 )).
fof(rqRealDiff__k6_xcmplx_0__r274_r50_r224,axiom,( k6_xcmplx_0(274,50) = 224 )).
fof(rqRealDiff__k6_xcmplx_0__r275_r1_r274,axiom,( k6_xcmplx_0(275,1) = 274 )).
fof(rqRealDiff__k6_xcmplx_0__r275_r35_r240,axiom,( k6_xcmplx_0(275,35) = 240 )).
fof(rqRealDiff__k6_xcmplx_0__r275_r6_r269,axiom,( k6_xcmplx_0(275,6) = 269 )).
fof(rqRealDiff__k6_xcmplx_0__r279_r110_r169,axiom,( k6_xcmplx_0(279,110) = 169 )).
fof(rqRealDiff__k6_xcmplx_0__r27_cr1r0_crm1r27,axiom,( k6_xcmplx_0(27,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),27) )).
fof(rqRealDiff__k6_xcmplx_0__r27_crm2r0_cr2r27,axiom,( k6_xcmplx_0(27,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),27) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r0_r27,axiom,( k6_xcmplx_0(27,0) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r108_rm81,axiom,( k6_xcmplx_0(27,108) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r10_r17,axiom,( k6_xcmplx_0(27,10) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r12_r15,axiom,( k6_xcmplx_0(27,12) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r14_r13,axiom,( k6_xcmplx_0(27,14) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r16_r11,axiom,( k6_xcmplx_0(27,16) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r18_r9,axiom,( k6_xcmplx_0(27,18) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r1_r26,axiom,( k6_xcmplx_0(27,1) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r22_r5,axiom,( k6_xcmplx_0(27,22) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r23_r4,axiom,( k6_xcmplx_0(27,23) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r24_r3,axiom,( k6_xcmplx_0(27,24) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r25_r2,axiom,( k6_xcmplx_0(27,25) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r26_r1,axiom,( k6_xcmplx_0(27,26) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r27_r0,axiom,( k6_xcmplx_0(27,27) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r28_rm1,axiom,( k6_xcmplx_0(27,28) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r29_rm2,axiom,( k6_xcmplx_0(27,29) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r2_r25,axiom,( k6_xcmplx_0(27,2) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r30_rm3,axiom,( k6_xcmplx_0(27,30) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r31_rm4,axiom,( k6_xcmplx_0(27,31) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r32_rm5,axiom,( k6_xcmplx_0(27,32) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r33_rm6,axiom,( k6_xcmplx_0(27,33) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r34_rm7,axiom,( k6_xcmplx_0(27,34) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r35_rm8,axiom,( k6_xcmplx_0(27,35) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r36_rm9,axiom,( k6_xcmplx_0(27,36) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r37_rm10,axiom,( k6_xcmplx_0(27,37) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r38_rm11,axiom,( k6_xcmplx_0(27,38) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r39_rm12,axiom,( k6_xcmplx_0(27,39) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r3_r24,axiom,( k6_xcmplx_0(27,3) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r400_rm373,axiom,( k6_xcmplx_0(27,400) = k4_xcmplx_0(373) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r40_rm13,axiom,( k6_xcmplx_0(27,40) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r41_rm14,axiom,( k6_xcmplx_0(27,41) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r42_rm15,axiom,( k6_xcmplx_0(27,42) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r43_rm16,axiom,( k6_xcmplx_0(27,43) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r44_rm17,axiom,( k6_xcmplx_0(27,44) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r45_rm18,axiom,( k6_xcmplx_0(27,45) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r46_rm19,axiom,( k6_xcmplx_0(27,46) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r47_rm20,axiom,( k6_xcmplx_0(27,47) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r48_rm21,axiom,( k6_xcmplx_0(27,48) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r49_rm22,axiom,( k6_xcmplx_0(27,49) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r4_r23,axiom,( k6_xcmplx_0(27,4) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r50_rm23,axiom,( k6_xcmplx_0(27,50) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r51_rm24,axiom,( k6_xcmplx_0(27,51) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r52_rm25,axiom,( k6_xcmplx_0(27,52) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r53_rm26,axiom,( k6_xcmplx_0(27,53) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r54_rm27,axiom,( k6_xcmplx_0(27,54) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r55_rm28,axiom,( k6_xcmplx_0(27,55) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r56_rm29,axiom,( k6_xcmplx_0(27,56) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r57_rm30,axiom,( k6_xcmplx_0(27,57) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r58_rm31,axiom,( k6_xcmplx_0(27,58) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r59_rm32,axiom,( k6_xcmplx_0(27,59) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r60_rm33,axiom,( k6_xcmplx_0(27,60) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r61_rm34,axiom,( k6_xcmplx_0(27,61) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r62_rm35,axiom,( k6_xcmplx_0(27,62) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r63_rm36,axiom,( k6_xcmplx_0(27,63) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r64_rm37,axiom,( k6_xcmplx_0(27,64) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r6_r21,axiom,( k6_xcmplx_0(27,6) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r81_rm54,axiom,( k6_xcmplx_0(27,81) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r84_rm57,axiom,( k6_xcmplx_0(27,84) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r27_r8_r19,axiom,( k6_xcmplx_0(27,8) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r27_r9_r18,axiom,( k6_xcmplx_0(27,9) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rm1_r28,axiom,( k6_xcmplx_0(27,k4_xcmplx_0(1)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rm27_r54,axiom,( k6_xcmplx_0(27,k4_xcmplx_0(27)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rm2_r29,axiom,( k6_xcmplx_0(27,k4_xcmplx_0(2)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rm36_r63,axiom,( k6_xcmplx_0(27,k4_xcmplx_0(36)) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rm3_r30,axiom,( k6_xcmplx_0(27,k4_xcmplx_0(3)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rm54_r81,axiom,( k6_xcmplx_0(27,k4_xcmplx_0(54)) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rm81_r108,axiom,( k6_xcmplx_0(27,k4_xcmplx_0(81)) = 108 )).
fof(rqRealDiff__k6_xcmplx_0__r27_rn1d2_rn53d2,axiom,( k6_xcmplx_0(27,k7_xcmplx_0(1,2)) = k7_xcmplx_0(53,2) )).
fof(rqRealDiff__k6_xcmplx_0__r27_rn1d4_rn107d4,axiom,( k6_xcmplx_0(27,k7_xcmplx_0(1,4)) = k7_xcmplx_0(107,4) )).
fof(rqRealDiff__k6_xcmplx_0__r27_rnm1d2_rn55d2,axiom,( k6_xcmplx_0(27,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(55,2) )).
fof(rqRealDiff__k6_xcmplx_0__r282_r197_r85,axiom,( k6_xcmplx_0(282,197) = 85 )).
fof(rqRealDiff__k6_xcmplx_0__r282_r1_r281,axiom,( k6_xcmplx_0(282,1) = 281 )).
fof(rqRealDiff__k6_xcmplx_0__r282_r256_r26,axiom,( k6_xcmplx_0(282,256) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r282_r289_rm7,axiom,( k6_xcmplx_0(282,289) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r282_r2_r280,axiom,( k6_xcmplx_0(282,2) = 280 )).
fof(rqRealDiff__k6_xcmplx_0__r282_r3_r279,axiom,( k6_xcmplx_0(282,3) = 279 )).
fof(rqRealDiff__k6_xcmplx_0__r282_r4_r278,axiom,( k6_xcmplx_0(282,4) = 278 )).
fof(rqRealDiff__k6_xcmplx_0__r282_r512_rm230,axiom,( k6_xcmplx_0(282,512) = k4_xcmplx_0(230) )).
fof(rqRealDiff__k6_xcmplx_0__r282_r52_r230,axiom,( k6_xcmplx_0(282,52) = 230 )).
fof(rqRealDiff__k6_xcmplx_0__r282_r71_r211,axiom,( k6_xcmplx_0(282,71) = 211 )).
fof(rqRealDiff__k6_xcmplx_0__r288_r192_r96,axiom,( k6_xcmplx_0(288,192) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__r288_r288_r0,axiom,( k6_xcmplx_0(288,288) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r288_r384_rm96,axiom,( k6_xcmplx_0(288,384) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__r288_r768_rm480,axiom,( k6_xcmplx_0(288,768) = k4_xcmplx_0(480) )).
fof(rqRealDiff__k6_xcmplx_0__r288_rm288_r576,axiom,( k6_xcmplx_0(288,k4_xcmplx_0(288)) = 576 )).
fof(rqRealDiff__k6_xcmplx_0__r289_r128_r161,axiom,( k6_xcmplx_0(289,128) = 161 )).
fof(rqRealDiff__k6_xcmplx_0__r289_r14_r275,axiom,( k6_xcmplx_0(289,14) = 275 )).
fof(rqRealDiff__k6_xcmplx_0__r289_r1_r288,axiom,( k6_xcmplx_0(289,1) = 288 )).
fof(rqRealDiff__k6_xcmplx_0__r289_r256_r33,axiom,( k6_xcmplx_0(289,256) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r289_r2_r287,axiom,( k6_xcmplx_0(289,2) = 287 )).
fof(rqRealDiff__k6_xcmplx_0__r289_r3_r286,axiom,( k6_xcmplx_0(289,3) = 286 )).
fof(rqRealDiff__k6_xcmplx_0__r289_r4_r285,axiom,( k6_xcmplx_0(289,4) = 285 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r0_r28,axiom,( k6_xcmplx_0(28,0) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r10_r18,axiom,( k6_xcmplx_0(28,10) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r11_r17,axiom,( k6_xcmplx_0(28,11) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r12_r16,axiom,( k6_xcmplx_0(28,12) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r13_r15,axiom,( k6_xcmplx_0(28,13) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r14_r14,axiom,( k6_xcmplx_0(28,14) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r15_r13,axiom,( k6_xcmplx_0(28,15) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r16_r12,axiom,( k6_xcmplx_0(28,16) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r17_r11,axiom,( k6_xcmplx_0(28,17) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r18_r10,axiom,( k6_xcmplx_0(28,18) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r19_r9,axiom,( k6_xcmplx_0(28,19) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r1_r27,axiom,( k6_xcmplx_0(28,1) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r20_r8,axiom,( k6_xcmplx_0(28,20) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r21_r7,axiom,( k6_xcmplx_0(28,21) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r22_r6,axiom,( k6_xcmplx_0(28,22) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r23_r5,axiom,( k6_xcmplx_0(28,23) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r24_r4,axiom,( k6_xcmplx_0(28,24) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r25_r3,axiom,( k6_xcmplx_0(28,25) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r26_r2,axiom,( k6_xcmplx_0(28,26) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r27_r1,axiom,( k6_xcmplx_0(28,27) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r28_r0,axiom,( k6_xcmplx_0(28,28) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r29_rm1,axiom,( k6_xcmplx_0(28,29) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r2_r26,axiom,( k6_xcmplx_0(28,2) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r30_rm2,axiom,( k6_xcmplx_0(28,30) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r31_rm3,axiom,( k6_xcmplx_0(28,31) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r32_rm4,axiom,( k6_xcmplx_0(28,32) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r33_rm5,axiom,( k6_xcmplx_0(28,33) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r34_rm6,axiom,( k6_xcmplx_0(28,34) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r35_rm7,axiom,( k6_xcmplx_0(28,35) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r36_rm8,axiom,( k6_xcmplx_0(28,36) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r37_rm9,axiom,( k6_xcmplx_0(28,37) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r38_rm10,axiom,( k6_xcmplx_0(28,38) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r39_rm11,axiom,( k6_xcmplx_0(28,39) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r3_r25,axiom,( k6_xcmplx_0(28,3) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r40_rm12,axiom,( k6_xcmplx_0(28,40) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r41_rm13,axiom,( k6_xcmplx_0(28,41) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r42_rm14,axiom,( k6_xcmplx_0(28,42) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r43_rm15,axiom,( k6_xcmplx_0(28,43) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r44_rm16,axiom,( k6_xcmplx_0(28,44) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r45_rm17,axiom,( k6_xcmplx_0(28,45) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r46_rm18,axiom,( k6_xcmplx_0(28,46) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r47_rm19,axiom,( k6_xcmplx_0(28,47) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r48_rm20,axiom,( k6_xcmplx_0(28,48) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r49_rm21,axiom,( k6_xcmplx_0(28,49) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r4_r24,axiom,( k6_xcmplx_0(28,4) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r50_rm22,axiom,( k6_xcmplx_0(28,50) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r51_rm23,axiom,( k6_xcmplx_0(28,51) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r52_rm24,axiom,( k6_xcmplx_0(28,52) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r53_rm25,axiom,( k6_xcmplx_0(28,53) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r54_rm26,axiom,( k6_xcmplx_0(28,54) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r55_rm27,axiom,( k6_xcmplx_0(28,55) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r56_rm28,axiom,( k6_xcmplx_0(28,56) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r57_rm29,axiom,( k6_xcmplx_0(28,57) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r58_rm30,axiom,( k6_xcmplx_0(28,58) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r59_rm31,axiom,( k6_xcmplx_0(28,59) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r5_r23,axiom,( k6_xcmplx_0(28,5) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r60_rm32,axiom,( k6_xcmplx_0(28,60) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r61_rm33,axiom,( k6_xcmplx_0(28,61) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r62_rm34,axiom,( k6_xcmplx_0(28,62) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r63_rm35,axiom,( k6_xcmplx_0(28,63) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r64_rm36,axiom,( k6_xcmplx_0(28,64) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r6_r22,axiom,( k6_xcmplx_0(28,6) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r72_rm44,axiom,( k6_xcmplx_0(28,72) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r73_rm45,axiom,( k6_xcmplx_0(28,73) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r7_r21,axiom,( k6_xcmplx_0(28,7) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r84_rm56,axiom,( k6_xcmplx_0(28,84) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r8_r20,axiom,( k6_xcmplx_0(28,8) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r28_r91_rm63,axiom,( k6_xcmplx_0(28,91) = k4_xcmplx_0(63) )).
fof(rqRealDiff__k6_xcmplx_0__r28_r9_r19,axiom,( k6_xcmplx_0(28,9) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm12_r40,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(12)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm1_r29,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(1)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm2_r30,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(2)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm36_r64,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(36)) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm48_r76,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(48)) = 76 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm4_r32,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(4)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm5_r33,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(5)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rm9_r37,axiom,( k6_xcmplx_0(28,k4_xcmplx_0(9)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r28_rn111d4_rn1d4,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(111,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rn1d2_rn55d2,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(1,2)) = k7_xcmplx_0(55,2) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rn21d2_rn35d2,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(21,2)) = k7_xcmplx_0(35,2) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rn21d4_rn91d4,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(21,4)) = k7_xcmplx_0(91,4) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rn27d4_rn85d4,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(27,4)) = k7_xcmplx_0(85,4) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rn35d2_rn21d2,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(35,2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rn85d4_rn27d4,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(85,4)) = k7_xcmplx_0(27,4) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rnm1d2_rn57d2,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(57,2) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rnm1d4_rn113d4,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(113,4) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rnm27d4_rn139d4,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(139,4) )).
fof(rqRealDiff__k6_xcmplx_0__r28_rnm3d4_rn115d4,axiom,( k6_xcmplx_0(28,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(115,4) )).
fof(rqRealDiff__k6_xcmplx_0__r298_r11_r287,axiom,( k6_xcmplx_0(298,11) = 287 )).
fof(rqRealDiff__k6_xcmplx_0__r298_r1_r297,axiom,( k6_xcmplx_0(298,1) = 297 )).
fof(rqRealDiff__k6_xcmplx_0__r298_r2_r296,axiom,( k6_xcmplx_0(298,2) = 296 )).
fof(rqRealDiff__k6_xcmplx_0__r298_r3_r295,axiom,( k6_xcmplx_0(298,3) = 295 )).
fof(rqRealDiff__k6_xcmplx_0__r298_r50_r248,axiom,( k6_xcmplx_0(298,50) = 248 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r0_r29,axiom,( k6_xcmplx_0(29,0) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r10_r19,axiom,( k6_xcmplx_0(29,10) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r11_r18,axiom,( k6_xcmplx_0(29,11) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r12_r17,axiom,( k6_xcmplx_0(29,12) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r13_r16,axiom,( k6_xcmplx_0(29,13) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r14_r15,axiom,( k6_xcmplx_0(29,14) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r15_r14,axiom,( k6_xcmplx_0(29,15) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r17_r12,axiom,( k6_xcmplx_0(29,17) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r18_r11,axiom,( k6_xcmplx_0(29,18) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r19_r10,axiom,( k6_xcmplx_0(29,19) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r22_r7,axiom,( k6_xcmplx_0(29,22) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r23_r6,axiom,( k6_xcmplx_0(29,23) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r24_r5,axiom,( k6_xcmplx_0(29,24) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r25_r4,axiom,( k6_xcmplx_0(29,25) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r26_r3,axiom,( k6_xcmplx_0(29,26) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r27_r2,axiom,( k6_xcmplx_0(29,27) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r28_r1,axiom,( k6_xcmplx_0(29,28) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r29_r0,axiom,( k6_xcmplx_0(29,29) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r2_r27,axiom,( k6_xcmplx_0(29,2) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r30_rm1,axiom,( k6_xcmplx_0(29,30) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r31_rm2,axiom,( k6_xcmplx_0(29,31) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r32_rm3,axiom,( k6_xcmplx_0(29,32) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r33_rm4,axiom,( k6_xcmplx_0(29,33) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r34_rm5,axiom,( k6_xcmplx_0(29,34) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r35_rm6,axiom,( k6_xcmplx_0(29,35) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r36_rm7,axiom,( k6_xcmplx_0(29,36) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r37_rm8,axiom,( k6_xcmplx_0(29,37) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r38_rm9,axiom,( k6_xcmplx_0(29,38) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r39_rm10,axiom,( k6_xcmplx_0(29,39) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r3_r26,axiom,( k6_xcmplx_0(29,3) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r40_rm11,axiom,( k6_xcmplx_0(29,40) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r41_rm12,axiom,( k6_xcmplx_0(29,41) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r42_rm13,axiom,( k6_xcmplx_0(29,42) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r43_rm14,axiom,( k6_xcmplx_0(29,43) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r44_rm15,axiom,( k6_xcmplx_0(29,44) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r45_rm16,axiom,( k6_xcmplx_0(29,45) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r46_rm17,axiom,( k6_xcmplx_0(29,46) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r47_rm18,axiom,( k6_xcmplx_0(29,47) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r48_rm19,axiom,( k6_xcmplx_0(29,48) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r49_rm20,axiom,( k6_xcmplx_0(29,49) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r4_r25,axiom,( k6_xcmplx_0(29,4) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r50_rm21,axiom,( k6_xcmplx_0(29,50) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r51_rm22,axiom,( k6_xcmplx_0(29,51) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r52_rm23,axiom,( k6_xcmplx_0(29,52) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r53_rm24,axiom,( k6_xcmplx_0(29,53) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r54_rm25,axiom,( k6_xcmplx_0(29,54) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r55_rm26,axiom,( k6_xcmplx_0(29,55) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r56_rm27,axiom,( k6_xcmplx_0(29,56) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r57_rm28,axiom,( k6_xcmplx_0(29,57) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r58_rm29,axiom,( k6_xcmplx_0(29,58) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r59_rm30,axiom,( k6_xcmplx_0(29,59) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r60_rm31,axiom,( k6_xcmplx_0(29,60) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r61_rm32,axiom,( k6_xcmplx_0(29,61) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r62_rm33,axiom,( k6_xcmplx_0(29,62) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r63_rm34,axiom,( k6_xcmplx_0(29,63) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r6_r23,axiom,( k6_xcmplx_0(29,6) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r81_rm52,axiom,( k6_xcmplx_0(29,81) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r29_r8_r21,axiom,( k6_xcmplx_0(29,8) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r29_r9_r20,axiom,( k6_xcmplx_0(29,9) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r29_rm1_r30,axiom,( k6_xcmplx_0(29,k4_xcmplx_0(1)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r29_rm57_r86,axiom,( k6_xcmplx_0(29,k4_xcmplx_0(57)) = 86 )).
fof(rqRealDiff__k6_xcmplx_0__r29_rn121d4_rnm5d4,axiom,( k6_xcmplx_0(29,k7_xcmplx_0(121,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_cr1r0_crm1r2,axiom,( k6_xcmplx_0(2,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_cr1r1_crm1r1,axiom,( k6_xcmplx_0(2,k2_xcmplx_0(k1_xcmplx_0,1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__r2_cr2r0_crm2r2,axiom,( k6_xcmplx_0(2,k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_crm1r0_cr1r2,axiom,( k6_xcmplx_0(2,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_crm1r1_cr1r1,axiom,( k6_xcmplx_0(2,k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealDiff__k6_xcmplx_0__r2_crm2r0_cr2r2,axiom,( k6_xcmplx_0(2,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_crn1d2r0_crnm1d2r2,axiom,( k6_xcmplx_0(2,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_crn1d2rn1d2_crnm1d2rn3d2,axiom,( k6_xcmplx_0(2,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__r2_crnm1d2r0_crn1d2r2,axiom,( k6_xcmplx_0(2,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_crnm1d2rn1d2_crn1d2rn3d2,axiom,( k6_xcmplx_0(2,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2,axiom,( k6_xcmplx_0(2,0) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r2_r100_rm98,axiom,( k6_xcmplx_0(2,100) = k4_xcmplx_0(98) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r108_rm106,axiom,( k6_xcmplx_0(2,108) = k4_xcmplx_0(106) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r10_rm8,axiom,( k6_xcmplx_0(2,10) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r119_rm117,axiom,( k6_xcmplx_0(2,119) = k4_xcmplx_0(117) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r11_rm9,axiom,( k6_xcmplx_0(2,11) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r120_rm118,axiom,( k6_xcmplx_0(2,120) = k4_xcmplx_0(118) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r126_rm124,axiom,( k6_xcmplx_0(2,126) = k4_xcmplx_0(124) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r128_rm126,axiom,( k6_xcmplx_0(2,128) = k4_xcmplx_0(126) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r12_rm10,axiom,( k6_xcmplx_0(2,12) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r13_rm11,axiom,( k6_xcmplx_0(2,13) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r14_rm12,axiom,( k6_xcmplx_0(2,14) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r159_rm157,axiom,( k6_xcmplx_0(2,159) = k4_xcmplx_0(157) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r15_rm13,axiom,( k6_xcmplx_0(2,15) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r162_rm160,axiom,( k6_xcmplx_0(2,162) = k4_xcmplx_0(160) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r16_rm14,axiom,( k6_xcmplx_0(2,16) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r17_rm15,axiom,( k6_xcmplx_0(2,17) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r18_rm16,axiom,( k6_xcmplx_0(2,18) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r192_rm190,axiom,( k6_xcmplx_0(2,192) = k4_xcmplx_0(190) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r19_rm17,axiom,( k6_xcmplx_0(2,19) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1,axiom,( k6_xcmplx_0(2,1) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r2_r203_rm201,axiom,( k6_xcmplx_0(2,203) = k4_xcmplx_0(201) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r20_rm18,axiom,( k6_xcmplx_0(2,20) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r211_rm209,axiom,( k6_xcmplx_0(2,211) = k4_xcmplx_0(209) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r216_rm214,axiom,( k6_xcmplx_0(2,216) = k4_xcmplx_0(214) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r21_rm19,axiom,( k6_xcmplx_0(2,21) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r22_rm20,axiom,( k6_xcmplx_0(2,22) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r236_rm234,axiom,( k6_xcmplx_0(2,236) = k4_xcmplx_0(234) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r23_rm21,axiom,( k6_xcmplx_0(2,23) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r241_rm239,axiom,( k6_xcmplx_0(2,241) = k4_xcmplx_0(239) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r242_rm240,axiom,( k6_xcmplx_0(2,242) = k4_xcmplx_0(240) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r24_rm22,axiom,( k6_xcmplx_0(2,24) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r252_rm250,axiom,( k6_xcmplx_0(2,252) = k4_xcmplx_0(250) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r255_rm253,axiom,( k6_xcmplx_0(2,255) = k4_xcmplx_0(253) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r256_rm254,axiom,( k6_xcmplx_0(2,256) = k4_xcmplx_0(254) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r25_rm23,axiom,( k6_xcmplx_0(2,25) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r26_rm24,axiom,( k6_xcmplx_0(2,26) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r27_rm25,axiom,( k6_xcmplx_0(2,27) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r28_rm26,axiom,( k6_xcmplx_0(2,28) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r29_rm27,axiom,( k6_xcmplx_0(2,29) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0,axiom,( k6_xcmplx_0(2,2) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r2_r30_rm28,axiom,( k6_xcmplx_0(2,30) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r31_rm29,axiom,( k6_xcmplx_0(2,31) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r320_rm318,axiom,( k6_xcmplx_0(2,320) = k4_xcmplx_0(318) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r32_rm30,axiom,( k6_xcmplx_0(2,32) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r33_rm31,axiom,( k6_xcmplx_0(2,33) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r342_rm340,axiom,( k6_xcmplx_0(2,342) = k4_xcmplx_0(340) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r343_rm341,axiom,( k6_xcmplx_0(2,343) = k4_xcmplx_0(341) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r344_rm342,axiom,( k6_xcmplx_0(2,344) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r345_rm343,axiom,( k6_xcmplx_0(2,345) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r346_rm344,axiom,( k6_xcmplx_0(2,346) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r347_rm345,axiom,( k6_xcmplx_0(2,347) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r348_rm346,axiom,( k6_xcmplx_0(2,348) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r349_rm347,axiom,( k6_xcmplx_0(2,349) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r34_rm32,axiom,( k6_xcmplx_0(2,34) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r350_rm348,axiom,( k6_xcmplx_0(2,350) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r351_rm349,axiom,( k6_xcmplx_0(2,351) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r352_rm350,axiom,( k6_xcmplx_0(2,352) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r353_rm351,axiom,( k6_xcmplx_0(2,353) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r354_rm352,axiom,( k6_xcmplx_0(2,354) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r355_rm353,axiom,( k6_xcmplx_0(2,355) = k4_xcmplx_0(353) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r356_rm354,axiom,( k6_xcmplx_0(2,356) = k4_xcmplx_0(354) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r357_rm355,axiom,( k6_xcmplx_0(2,357) = k4_xcmplx_0(355) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r358_rm356,axiom,( k6_xcmplx_0(2,358) = k4_xcmplx_0(356) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r359_rm357,axiom,( k6_xcmplx_0(2,359) = k4_xcmplx_0(357) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r35_rm33,axiom,( k6_xcmplx_0(2,35) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r360_rm358,axiom,( k6_xcmplx_0(2,360) = k4_xcmplx_0(358) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r361_rm359,axiom,( k6_xcmplx_0(2,361) = k4_xcmplx_0(359) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r362_rm360,axiom,( k6_xcmplx_0(2,362) = k4_xcmplx_0(360) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r363_rm361,axiom,( k6_xcmplx_0(2,363) = k4_xcmplx_0(361) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r364_rm362,axiom,( k6_xcmplx_0(2,364) = k4_xcmplx_0(362) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r365_rm363,axiom,( k6_xcmplx_0(2,365) = k4_xcmplx_0(363) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r36_rm34,axiom,( k6_xcmplx_0(2,36) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r37_rm35,axiom,( k6_xcmplx_0(2,37) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r38_rm36,axiom,( k6_xcmplx_0(2,38) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r39_rm37,axiom,( k6_xcmplx_0(2,39) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1,axiom,( k6_xcmplx_0(2,3) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r40_rm38,axiom,( k6_xcmplx_0(2,40) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r414_rm412,axiom,( k6_xcmplx_0(2,414) = k4_xcmplx_0(412) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r419_rm417,axiom,( k6_xcmplx_0(2,419) = k4_xcmplx_0(417) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r41_rm39,axiom,( k6_xcmplx_0(2,41) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r42_rm40,axiom,( k6_xcmplx_0(2,42) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r43_rm41,axiom,( k6_xcmplx_0(2,43) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r44_rm42,axiom,( k6_xcmplx_0(2,44) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r45_rm43,axiom,( k6_xcmplx_0(2,45) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r46_rm44,axiom,( k6_xcmplx_0(2,46) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r47_rm45,axiom,( k6_xcmplx_0(2,47) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r48_rm46,axiom,( k6_xcmplx_0(2,48) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r49_rm47,axiom,( k6_xcmplx_0(2,49) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r4_rm2,axiom,( k6_xcmplx_0(2,4) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r50_rm48,axiom,( k6_xcmplx_0(2,50) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r512_rm510,axiom,( k6_xcmplx_0(2,512) = k4_xcmplx_0(510) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r51_rm49,axiom,( k6_xcmplx_0(2,51) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r52_rm50,axiom,( k6_xcmplx_0(2,52) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r53_rm51,axiom,( k6_xcmplx_0(2,53) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r54_rm52,axiom,( k6_xcmplx_0(2,54) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r55_rm53,axiom,( k6_xcmplx_0(2,55) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r56_rm54,axiom,( k6_xcmplx_0(2,56) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r57_rm55,axiom,( k6_xcmplx_0(2,57) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r58_rm56,axiom,( k6_xcmplx_0(2,58) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r59_rm57,axiom,( k6_xcmplx_0(2,59) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r5_rm3,axiom,( k6_xcmplx_0(2,5) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r60_rm58,axiom,( k6_xcmplx_0(2,60) = k4_xcmplx_0(58) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r61_rm59,axiom,( k6_xcmplx_0(2,61) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r62_rm60,axiom,( k6_xcmplx_0(2,62) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r63_rm61,axiom,( k6_xcmplx_0(2,63) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r640_rm638,axiom,( k6_xcmplx_0(2,640) = k4_xcmplx_0(638) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r641_rm639,axiom,( k6_xcmplx_0(2,641) = k4_xcmplx_0(639) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r64_rm62,axiom,( k6_xcmplx_0(2,64) = k4_xcmplx_0(62) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r673_rm671,axiom,( k6_xcmplx_0(2,673) = k4_xcmplx_0(671) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r6_rm4,axiom,( k6_xcmplx_0(2,6) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r70_rm68,axiom,( k6_xcmplx_0(2,70) = k4_xcmplx_0(68) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r72_rm70,axiom,( k6_xcmplx_0(2,72) = k4_xcmplx_0(70) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r73_rm71,axiom,( k6_xcmplx_0(2,73) = k4_xcmplx_0(71) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r7_rm5,axiom,( k6_xcmplx_0(2,7) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r800_rm798,axiom,( k6_xcmplx_0(2,800) = k4_xcmplx_0(798) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r81_rm79,axiom,( k6_xcmplx_0(2,81) = k4_xcmplx_0(79) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r84_rm82,axiom,( k6_xcmplx_0(2,84) = k4_xcmplx_0(82) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r89_rm87,axiom,( k6_xcmplx_0(2,89) = k4_xcmplx_0(87) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r8_rm6,axiom,( k6_xcmplx_0(2,8) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r90_rm88,axiom,( k6_xcmplx_0(2,90) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r91_rm89,axiom,( k6_xcmplx_0(2,91) = k4_xcmplx_0(89) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r96_rm94,axiom,( k6_xcmplx_0(2,96) = k4_xcmplx_0(94) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r97_rm95,axiom,( k6_xcmplx_0(2,97) = k4_xcmplx_0(95) )).
fof(rqRealDiff__k6_xcmplx_0__r2_r9_rm7,axiom,( k6_xcmplx_0(2,9) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm10_r12,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(10)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm11_r13,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(11)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm12_r14,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(12)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm13_r15,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(13)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm16_r18,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(16)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm18_r20,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(18)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(1)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm23_r25,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(23)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm256_r258,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(256)) = 258 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm25_r27,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(25)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm27_r29,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(27)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm29_r31,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(29)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm2_r4,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm32_r34,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(32)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm33_r35,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(33)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm34_r36,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(34)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm36_r38,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(36)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm3_r5,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(3)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm4_r6,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(4)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm512_r514,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(512)) = 514 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm52_r54,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(52)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm54_r56,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(54)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm5_r7,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(5)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm6_r8,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(6)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm7_r9,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(7)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm8_r10,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(8)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rm9_r11,axiom,( k6_xcmplx_0(2,k4_xcmplx_0(9)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn11d6_rn1d6,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(11,6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn121d40_rnm41d40,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(121,40)) = k7_xcmplx_0(k4_xcmplx_0(41),40) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn12d5_rnm2d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(12,5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn13d2_rnm9d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn14d9_rn4d9,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(14,9)) = k7_xcmplx_0(4,9) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn159d100_rn41d100,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(159,100)) = k7_xcmplx_0(41,100) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn159d200_rn241d200,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(159,200)) = k7_xcmplx_0(241,200) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn16d5_rnm6d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(16,5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn17d16_rn15d16,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(17,16)) = k7_xcmplx_0(15,16) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn17d4_rnm9d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(17,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn17d9_rn1d9,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(17,9)) = k7_xcmplx_0(1,9) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn19d18_rn17d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(19,18)) = k7_xcmplx_0(17,18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn19d8_rnm3d8,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(19,8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d100_rn199d100,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,100)) = k7_xcmplx_0(199,100) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d10_rn19d10,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,10)) = k7_xcmplx_0(19,10) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d16_rn31d16,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,16)) = k7_xcmplx_0(31,16) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d18_rn35d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,18)) = k7_xcmplx_0(35,18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d27_rn53d27,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,27)) = k7_xcmplx_0(53,27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d3_rn5d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d4_rn7d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d5_rn9d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,5)) = k7_xcmplx_0(9,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d6_rn11d6,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,6)) = k7_xcmplx_0(11,6) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d7_rn13d7,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,7)) = k7_xcmplx_0(13,7) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d8_rn15d8,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,8)) = k7_xcmplx_0(15,8) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d9_rn17d9,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(1,9)) = k7_xcmplx_0(17,9) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn21d2_rnm17d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(21,2)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn245d18_rnm209d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(245,18)) = k7_xcmplx_0(k4_xcmplx_0(209),18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn25d18_rn11d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(25,18)) = k7_xcmplx_0(11,18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn2d27_rn52d27,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(2,27)) = k7_xcmplx_0(52,27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(2,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn2d5_rn8d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(2,5)) = k7_xcmplx_0(8,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn35d128_rn221d128,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(35,128)) = k7_xcmplx_0(221,128) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn35d18_rn1d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(35,18)) = k7_xcmplx_0(1,18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn35d2_rnm31d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(35,2)) = k7_xcmplx_0(k4_xcmplx_0(31),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn36d5_rnm26d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(36,5)) = k7_xcmplx_0(k4_xcmplx_0(26),5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn37d18_rnm1d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(37,18)) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn3d4_rn5d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(3,4)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn3d8_rn13d8,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(3,8)) = k7_xcmplx_0(13,8) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn49d81_rn113d81,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(49,81)) = k7_xcmplx_0(113,81) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(4,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn4d5_rn6d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(4,5)) = k7_xcmplx_0(6,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn4d9_rn14d9,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(4,9)) = k7_xcmplx_0(14,9) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn56d27_rnm2d27,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(56,27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn5d16_rn27d16,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(5,16)) = k7_xcmplx_0(27,16) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn5d2_rnm1d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn5d3_rn1d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(5,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn5d4_rn3d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(5,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn5d8_rn11d8,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(5,8)) = k7_xcmplx_0(11,8) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn7d3_rnm1d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn7d8_rn9d8,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(7,8)) = k7_xcmplx_0(9,8) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn7d9_rn11d9,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(7,9)) = k7_xcmplx_0(11,9) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn8d27_rn46d27,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(8,27)) = k7_xcmplx_0(46,27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn8d3_rnm2d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn8d5_rn2d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(8,5)) = k7_xcmplx_0(2,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn9d2_rnm5d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn9d4_rnm1d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(9,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rn9d8_rn7d8,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(9,8)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm119d240_rn599d240,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(119),240)) = k7_xcmplx_0(599,240) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm121d5_rn131d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(121),5)) = k7_xcmplx_0(131,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm12d5_rn22d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(12),5)) = k7_xcmplx_0(22,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm13d2_rn17d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(17,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm14d9_rn32d9,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(14),9)) = k7_xcmplx_0(32,9) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm159d100_rn359d100,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(359,100) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d10_rn21d10,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(21,10) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d18_rn37d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(37,18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d27_rn55d27,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(55,27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d2_rn5d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d3_rn7d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d4_rn9d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d5_rn11d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(11,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm1d6_rn13d6,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(13,6) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm243d10_rn263d10,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(243),10)) = k7_xcmplx_0(263,10) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm2d27_rn56d27,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(56,27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm2d3_rn8d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm2d5_rn12d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(12,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm35d2_rn39d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(35),2)) = k7_xcmplx_0(39,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm35d3_rn41d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(35),3)) = k7_xcmplx_0(41,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm37d18_rn73d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(37),18)) = k7_xcmplx_0(73,18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm3d2_rn7d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm3d4_rn11d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm4d3_rn10d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm4d5_rn14d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(14,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm5d16_rn37d16,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(37,16) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm5d2_rn9d2,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm5d3_rn11d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(11,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm5d4_rn13d4,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm7d18_rn43d18,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(43,18) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm7d27_rn61d27,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(61,27) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm7d3_rn13d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(13,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm8d3_rn14d3,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(14,3) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm8d5_rn18d5,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(18,5) )).
fof(rqRealDiff__k6_xcmplx_0__r2_rnm98d9_rn116d9,axiom,( k6_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(98),9)) = k7_xcmplx_0(116,9) )).
fof(rqRealDiff__k6_xcmplx_0__r302_r151_r151,axiom,( k6_xcmplx_0(302,151) = 151 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r0_r30,axiom,( k6_xcmplx_0(30,0) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r10_r20,axiom,( k6_xcmplx_0(30,10) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r12_r18,axiom,( k6_xcmplx_0(30,12) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r16_r14,axiom,( k6_xcmplx_0(30,16) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r18_r12,axiom,( k6_xcmplx_0(30,18) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r1_r29,axiom,( k6_xcmplx_0(30,1) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r20_r10,axiom,( k6_xcmplx_0(30,20) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r22_r8,axiom,( k6_xcmplx_0(30,22) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r23_r7,axiom,( k6_xcmplx_0(30,23) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r24_r6,axiom,( k6_xcmplx_0(30,24) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r25_r5,axiom,( k6_xcmplx_0(30,25) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r26_r4,axiom,( k6_xcmplx_0(30,26) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r27_r3,axiom,( k6_xcmplx_0(30,27) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r28_r2,axiom,( k6_xcmplx_0(30,28) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r29_r1,axiom,( k6_xcmplx_0(30,29) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r2_r28,axiom,( k6_xcmplx_0(30,2) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r30_r0,axiom,( k6_xcmplx_0(30,30) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r31_rm1,axiom,( k6_xcmplx_0(30,31) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r32_rm2,axiom,( k6_xcmplx_0(30,32) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r33_rm3,axiom,( k6_xcmplx_0(30,33) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r34_rm4,axiom,( k6_xcmplx_0(30,34) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r35_rm5,axiom,( k6_xcmplx_0(30,35) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r36_rm6,axiom,( k6_xcmplx_0(30,36) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r37_rm7,axiom,( k6_xcmplx_0(30,37) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r38_rm8,axiom,( k6_xcmplx_0(30,38) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r39_rm9,axiom,( k6_xcmplx_0(30,39) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r3_r27,axiom,( k6_xcmplx_0(30,3) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r40_rm10,axiom,( k6_xcmplx_0(30,40) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r41_rm11,axiom,( k6_xcmplx_0(30,41) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r42_rm12,axiom,( k6_xcmplx_0(30,42) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r43_rm13,axiom,( k6_xcmplx_0(30,43) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r44_rm14,axiom,( k6_xcmplx_0(30,44) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r45_rm15,axiom,( k6_xcmplx_0(30,45) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r46_rm16,axiom,( k6_xcmplx_0(30,46) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r47_rm17,axiom,( k6_xcmplx_0(30,47) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r48_rm18,axiom,( k6_xcmplx_0(30,48) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r49_rm19,axiom,( k6_xcmplx_0(30,49) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r4_r26,axiom,( k6_xcmplx_0(30,4) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r50_rm20,axiom,( k6_xcmplx_0(30,50) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r51_rm21,axiom,( k6_xcmplx_0(30,51) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r52_rm22,axiom,( k6_xcmplx_0(30,52) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r53_rm23,axiom,( k6_xcmplx_0(30,53) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r54_rm24,axiom,( k6_xcmplx_0(30,54) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r55_rm25,axiom,( k6_xcmplx_0(30,55) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r56_rm26,axiom,( k6_xcmplx_0(30,56) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r57_rm27,axiom,( k6_xcmplx_0(30,57) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r58_rm28,axiom,( k6_xcmplx_0(30,58) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r59_rm29,axiom,( k6_xcmplx_0(30,59) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r5_r25,axiom,( k6_xcmplx_0(30,5) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r60_rm30,axiom,( k6_xcmplx_0(30,60) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r61_rm31,axiom,( k6_xcmplx_0(30,61) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r62_rm32,axiom,( k6_xcmplx_0(30,62) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r63_rm33,axiom,( k6_xcmplx_0(30,63) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r64_rm34,axiom,( k6_xcmplx_0(30,64) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r6_r24,axiom,( k6_xcmplx_0(30,6) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r70_rm40,axiom,( k6_xcmplx_0(30,70) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r73_rm43,axiom,( k6_xcmplx_0(30,73) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r7_r23,axiom,( k6_xcmplx_0(30,7) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r89_rm59,axiom,( k6_xcmplx_0(30,89) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r8_r22,axiom,( k6_xcmplx_0(30,8) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r30_r90_rm60,axiom,( k6_xcmplx_0(30,90) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r91_rm61,axiom,( k6_xcmplx_0(30,91) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__r30_r9_r21,axiom,( k6_xcmplx_0(30,9) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm12_r42,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(12)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm18_r48,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(18)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm1_r31,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(1)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm24_r54,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(24)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm30_r60,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(30)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm57_r87,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(57)) = 87 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm641_r671,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(641)) = 671 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rm6_r36,axiom,( k6_xcmplx_0(30,k4_xcmplx_0(6)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r30_rn121d4_rnm1d4,axiom,( k6_xcmplx_0(30,k7_xcmplx_0(121,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__r30_rn1d8_rn239d8,axiom,( k6_xcmplx_0(30,k7_xcmplx_0(1,8)) = k7_xcmplx_0(239,8) )).
fof(rqRealDiff__k6_xcmplx_0__r30_rn241d8_rnm1d8,axiom,( k6_xcmplx_0(30,k7_xcmplx_0(241,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__r30_rn243d8_rnm3d8,axiom,( k6_xcmplx_0(30,k7_xcmplx_0(243,8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__r30_rn2d5_rn148d5,axiom,( k6_xcmplx_0(30,k7_xcmplx_0(2,5)) = k7_xcmplx_0(148,5) )).
fof(rqRealDiff__k6_xcmplx_0__r30_rnm121d4_rn241d4,axiom,( k6_xcmplx_0(30,k7_xcmplx_0(k4_xcmplx_0(121),4)) = k7_xcmplx_0(241,4) )).
fof(rqRealDiff__k6_xcmplx_0__r315_r1_r314,axiom,( k6_xcmplx_0(315,1) = 314 )).
fof(rqRealDiff__k6_xcmplx_0__r315_r45_r270,axiom,( k6_xcmplx_0(315,45) = 270 )).
fof(rqRealDiff__k6_xcmplx_0__r315_r5_r310,axiom,( k6_xcmplx_0(315,5) = 310 )).
fof(rqRealDiff__k6_xcmplx_0__r315_r6_r309,axiom,( k6_xcmplx_0(315,6) = 309 )).
fof(rqRealDiff__k6_xcmplx_0__r315_r720_rm405,axiom,( k6_xcmplx_0(315,720) = k4_xcmplx_0(405) )).
fof(rqRealDiff__k6_xcmplx_0__r315_r7_r308,axiom,( k6_xcmplx_0(315,7) = 308 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r0_r31,axiom,( k6_xcmplx_0(31,0) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r17_r14,axiom,( k6_xcmplx_0(31,17) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r18_r13,axiom,( k6_xcmplx_0(31,18) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r19_r12,axiom,( k6_xcmplx_0(31,19) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r20_r11,axiom,( k6_xcmplx_0(31,20) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r21_r10,axiom,( k6_xcmplx_0(31,21) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r22_r9,axiom,( k6_xcmplx_0(31,22) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r24_r7,axiom,( k6_xcmplx_0(31,24) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r25_r6,axiom,( k6_xcmplx_0(31,25) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r26_r5,axiom,( k6_xcmplx_0(31,26) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r27_r4,axiom,( k6_xcmplx_0(31,27) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r28_r3,axiom,( k6_xcmplx_0(31,28) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r29_r2,axiom,( k6_xcmplx_0(31,29) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r2_r29,axiom,( k6_xcmplx_0(31,2) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r30_r1,axiom,( k6_xcmplx_0(31,30) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r31_r0,axiom,( k6_xcmplx_0(31,31) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r31_r32_rm1,axiom,( k6_xcmplx_0(31,32) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r33_rm2,axiom,( k6_xcmplx_0(31,33) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r34_rm3,axiom,( k6_xcmplx_0(31,34) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r35_rm4,axiom,( k6_xcmplx_0(31,35) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r36_rm5,axiom,( k6_xcmplx_0(31,36) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r37_rm6,axiom,( k6_xcmplx_0(31,37) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r38_rm7,axiom,( k6_xcmplx_0(31,38) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r39_rm8,axiom,( k6_xcmplx_0(31,39) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r40_rm9,axiom,( k6_xcmplx_0(31,40) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r41_rm10,axiom,( k6_xcmplx_0(31,41) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r42_rm11,axiom,( k6_xcmplx_0(31,42) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r43_rm12,axiom,( k6_xcmplx_0(31,43) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r44_rm13,axiom,( k6_xcmplx_0(31,44) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r45_rm14,axiom,( k6_xcmplx_0(31,45) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r46_rm15,axiom,( k6_xcmplx_0(31,46) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r47_rm16,axiom,( k6_xcmplx_0(31,47) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r48_rm17,axiom,( k6_xcmplx_0(31,48) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r49_rm18,axiom,( k6_xcmplx_0(31,49) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r50_rm19,axiom,( k6_xcmplx_0(31,50) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r51_rm20,axiom,( k6_xcmplx_0(31,51) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r52_rm21,axiom,( k6_xcmplx_0(31,52) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r53_rm22,axiom,( k6_xcmplx_0(31,53) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r54_rm23,axiom,( k6_xcmplx_0(31,54) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r55_rm24,axiom,( k6_xcmplx_0(31,55) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r56_rm25,axiom,( k6_xcmplx_0(31,56) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r57_rm26,axiom,( k6_xcmplx_0(31,57) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r58_rm27,axiom,( k6_xcmplx_0(31,58) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r59_rm28,axiom,( k6_xcmplx_0(31,59) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r60_rm29,axiom,( k6_xcmplx_0(31,60) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r61_rm30,axiom,( k6_xcmplx_0(31,61) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r62_rm31,axiom,( k6_xcmplx_0(31,62) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r63_rm32,axiom,( k6_xcmplx_0(31,63) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r31_r6_r25,axiom,( k6_xcmplx_0(31,6) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r31_rm1_r32,axiom,( k6_xcmplx_0(31,k4_xcmplx_0(1)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r31_rm57_r88,axiom,( k6_xcmplx_0(31,k4_xcmplx_0(57)) = 88 )).
fof(rqRealDiff__k6_xcmplx_0__r320_r110_r210,axiom,( k6_xcmplx_0(320,110) = 210 )).
fof(rqRealDiff__k6_xcmplx_0__r320_r169_r151,axiom,( k6_xcmplx_0(320,169) = 151 )).
fof(rqRealDiff__k6_xcmplx_0__r320_r1_r319,axiom,( k6_xcmplx_0(320,1) = 319 )).
fof(rqRealDiff__k6_xcmplx_0__r320_r256_r64,axiom,( k6_xcmplx_0(320,256) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r320_r2_r318,axiom,( k6_xcmplx_0(320,2) = 318 )).
fof(rqRealDiff__k6_xcmplx_0__r320_r3_r317,axiom,( k6_xcmplx_0(320,3) = 317 )).
fof(rqRealDiff__k6_xcmplx_0__r320_r640_rm320,axiom,( k6_xcmplx_0(320,640) = k4_xcmplx_0(320) )).
fof(rqRealDiff__k6_xcmplx_0__r320_r641_rm321,axiom,( k6_xcmplx_0(320,641) = k4_xcmplx_0(321) )).
fof(rqRealDiff__k6_xcmplx_0__r320_r64_r256,axiom,( k6_xcmplx_0(320,64) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__r320_rm110_r430,axiom,( k6_xcmplx_0(320,k4_xcmplx_0(110)) = 430 )).
fof(rqRealDiff__k6_xcmplx_0__r320_rm1_r321,axiom,( k6_xcmplx_0(320,k4_xcmplx_0(1)) = 321 )).
fof(rqRealDiff__k6_xcmplx_0__r320_rm29_r349,axiom,( k6_xcmplx_0(320,k4_xcmplx_0(29)) = 349 )).
fof(rqRealDiff__k6_xcmplx_0__r325_r241_r84,axiom,( k6_xcmplx_0(325,241) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r325_r2_r323,axiom,( k6_xcmplx_0(325,2) = 323 )).
fof(rqRealDiff__k6_xcmplx_0__r32_cr1r0_crm1r32,axiom,( k6_xcmplx_0(32,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),32) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r0_r32,axiom,( k6_xcmplx_0(32,0) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r10_r22,axiom,( k6_xcmplx_0(32,10) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r11_r21,axiom,( k6_xcmplx_0(32,11) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r128_rm96,axiom,( k6_xcmplx_0(32,128) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r12_r20,axiom,( k6_xcmplx_0(32,12) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r13_r19,axiom,( k6_xcmplx_0(32,13) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r14_r18,axiom,( k6_xcmplx_0(32,14) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r15_r17,axiom,( k6_xcmplx_0(32,15) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r16_r16,axiom,( k6_xcmplx_0(32,16) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r17_r15,axiom,( k6_xcmplx_0(32,17) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r183_rm151,axiom,( k6_xcmplx_0(32,183) = k4_xcmplx_0(151) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r18_r14,axiom,( k6_xcmplx_0(32,18) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r192_rm160,axiom,( k6_xcmplx_0(32,192) = k4_xcmplx_0(160) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r197_rm165,axiom,( k6_xcmplx_0(32,197) = k4_xcmplx_0(165) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r19_r13,axiom,( k6_xcmplx_0(32,19) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r1_r31,axiom,( k6_xcmplx_0(32,1) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r20_r12,axiom,( k6_xcmplx_0(32,20) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r21_r11,axiom,( k6_xcmplx_0(32,21) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r22_r10,axiom,( k6_xcmplx_0(32,22) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r23_r9,axiom,( k6_xcmplx_0(32,23) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r24_r8,axiom,( k6_xcmplx_0(32,24) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r256_rm224,axiom,( k6_xcmplx_0(32,256) = k4_xcmplx_0(224) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r257_rm225,axiom,( k6_xcmplx_0(32,257) = k4_xcmplx_0(225) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r25_r7,axiom,( k6_xcmplx_0(32,25) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r26_r6,axiom,( k6_xcmplx_0(32,26) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r27_r5,axiom,( k6_xcmplx_0(32,27) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r28_r4,axiom,( k6_xcmplx_0(32,28) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r29_r3,axiom,( k6_xcmplx_0(32,29) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r2_r30,axiom,( k6_xcmplx_0(32,2) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r30_r2,axiom,( k6_xcmplx_0(32,30) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r31_r1,axiom,( k6_xcmplx_0(32,31) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r32_r0,axiom,( k6_xcmplx_0(32,32) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r33_rm1,axiom,( k6_xcmplx_0(32,33) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r34_rm2,axiom,( k6_xcmplx_0(32,34) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r35_rm3,axiom,( k6_xcmplx_0(32,35) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r36_rm4,axiom,( k6_xcmplx_0(32,36) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r37_rm5,axiom,( k6_xcmplx_0(32,37) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r38_rm6,axiom,( k6_xcmplx_0(32,38) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r39_rm7,axiom,( k6_xcmplx_0(32,39) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r3_r29,axiom,( k6_xcmplx_0(32,3) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r40_rm8,axiom,( k6_xcmplx_0(32,40) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r41_rm9,axiom,( k6_xcmplx_0(32,41) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r42_rm10,axiom,( k6_xcmplx_0(32,42) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r43_rm11,axiom,( k6_xcmplx_0(32,43) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r44_rm12,axiom,( k6_xcmplx_0(32,44) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r45_rm13,axiom,( k6_xcmplx_0(32,45) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r46_rm14,axiom,( k6_xcmplx_0(32,46) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r47_rm15,axiom,( k6_xcmplx_0(32,47) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r48_rm16,axiom,( k6_xcmplx_0(32,48) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r49_rm17,axiom,( k6_xcmplx_0(32,49) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r4_r28,axiom,( k6_xcmplx_0(32,4) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r50_rm18,axiom,( k6_xcmplx_0(32,50) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r51_rm19,axiom,( k6_xcmplx_0(32,51) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r52_rm20,axiom,( k6_xcmplx_0(32,52) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r53_rm21,axiom,( k6_xcmplx_0(32,53) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r54_rm22,axiom,( k6_xcmplx_0(32,54) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r55_rm23,axiom,( k6_xcmplx_0(32,55) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r56_rm24,axiom,( k6_xcmplx_0(32,56) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r57_rm25,axiom,( k6_xcmplx_0(32,57) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r58_rm26,axiom,( k6_xcmplx_0(32,58) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r59_rm27,axiom,( k6_xcmplx_0(32,59) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r5_r27,axiom,( k6_xcmplx_0(32,5) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r60_rm28,axiom,( k6_xcmplx_0(32,60) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r61_rm29,axiom,( k6_xcmplx_0(32,61) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r62_rm30,axiom,( k6_xcmplx_0(32,62) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r63_rm31,axiom,( k6_xcmplx_0(32,63) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r64_rm32,axiom,( k6_xcmplx_0(32,64) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r6_r26,axiom,( k6_xcmplx_0(32,6) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r71_rm39,axiom,( k6_xcmplx_0(32,71) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r7_r25,axiom,( k6_xcmplx_0(32,7) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r84_rm52,axiom,( k6_xcmplx_0(32,84) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r89_rm57,axiom,( k6_xcmplx_0(32,89) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r8_r24,axiom,( k6_xcmplx_0(32,8) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r32_r91_rm59,axiom,( k6_xcmplx_0(32,91) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r96_rm64,axiom,( k6_xcmplx_0(32,96) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__r32_r9_r23,axiom,( k6_xcmplx_0(32,9) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rm16_r48,axiom,( k6_xcmplx_0(32,k4_xcmplx_0(16)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rm1_r33,axiom,( k6_xcmplx_0(32,k4_xcmplx_0(1)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rm24_r56,axiom,( k6_xcmplx_0(32,k4_xcmplx_0(24)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rm2_r34,axiom,( k6_xcmplx_0(32,k4_xcmplx_0(2)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rm32_r64,axiom,( k6_xcmplx_0(32,k4_xcmplx_0(32)) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rm57_r89,axiom,( k6_xcmplx_0(32,k4_xcmplx_0(57)) = 89 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rm8_r40,axiom,( k6_xcmplx_0(32,k4_xcmplx_0(8)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r32_rn11d10_rn309d10,axiom,( k6_xcmplx_0(32,k7_xcmplx_0(11,10)) = k7_xcmplx_0(309,10) )).
fof(rqRealDiff__k6_xcmplx_0__r32_rnm4d3_rn100d3,axiom,( k6_xcmplx_0(32,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(100,3) )).
fof(rqRealDiff__k6_xcmplx_0__r332_r172_r160,axiom,( k6_xcmplx_0(332,172) = 160 )).
fof(rqRealDiff__k6_xcmplx_0__r332_r263_r69,axiom,( k6_xcmplx_0(332,263) = 69 )).
fof(rqRealDiff__k6_xcmplx_0__r332_r2_r330,axiom,( k6_xcmplx_0(332,2) = 330 )).
fof(rqRealDiff__k6_xcmplx_0__r338_r169_r169,axiom,( k6_xcmplx_0(338,169) = 169 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r0_r33,axiom,( k6_xcmplx_0(33,0) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r10_r23,axiom,( k6_xcmplx_0(33,10) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r11_r22,axiom,( k6_xcmplx_0(33,11) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r12_r21,axiom,( k6_xcmplx_0(33,12) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r13_r20,axiom,( k6_xcmplx_0(33,13) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r14_r19,axiom,( k6_xcmplx_0(33,14) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r15_r18,axiom,( k6_xcmplx_0(33,15) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r16_r17,axiom,( k6_xcmplx_0(33,16) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r17_r16,axiom,( k6_xcmplx_0(33,17) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r18_r15,axiom,( k6_xcmplx_0(33,18) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r19_r14,axiom,( k6_xcmplx_0(33,19) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r1_r32,axiom,( k6_xcmplx_0(33,1) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r20_r13,axiom,( k6_xcmplx_0(33,20) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r21_r12,axiom,( k6_xcmplx_0(33,21) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r22_r11,axiom,( k6_xcmplx_0(33,22) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r23_r10,axiom,( k6_xcmplx_0(33,23) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r24_r9,axiom,( k6_xcmplx_0(33,24) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r25_r8,axiom,( k6_xcmplx_0(33,25) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r26_r7,axiom,( k6_xcmplx_0(33,26) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r27_r6,axiom,( k6_xcmplx_0(33,27) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r28_r5,axiom,( k6_xcmplx_0(33,28) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r29_r4,axiom,( k6_xcmplx_0(33,29) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r2_r31,axiom,( k6_xcmplx_0(33,2) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r30_r3,axiom,( k6_xcmplx_0(33,30) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r31_r2,axiom,( k6_xcmplx_0(33,31) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r32_r1,axiom,( k6_xcmplx_0(33,32) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r33_r0,axiom,( k6_xcmplx_0(33,33) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r34_rm1,axiom,( k6_xcmplx_0(33,34) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r35_rm2,axiom,( k6_xcmplx_0(33,35) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r36_rm3,axiom,( k6_xcmplx_0(33,36) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r37_rm4,axiom,( k6_xcmplx_0(33,37) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r38_rm5,axiom,( k6_xcmplx_0(33,38) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r39_rm6,axiom,( k6_xcmplx_0(33,39) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r3_r30,axiom,( k6_xcmplx_0(33,3) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r40_rm7,axiom,( k6_xcmplx_0(33,40) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r41_rm8,axiom,( k6_xcmplx_0(33,41) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r42_rm9,axiom,( k6_xcmplx_0(33,42) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r43_rm10,axiom,( k6_xcmplx_0(33,43) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r44_rm11,axiom,( k6_xcmplx_0(33,44) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r45_rm12,axiom,( k6_xcmplx_0(33,45) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r46_rm13,axiom,( k6_xcmplx_0(33,46) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r47_rm14,axiom,( k6_xcmplx_0(33,47) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r48_rm15,axiom,( k6_xcmplx_0(33,48) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r49_rm16,axiom,( k6_xcmplx_0(33,49) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r50_rm17,axiom,( k6_xcmplx_0(33,50) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r51_rm18,axiom,( k6_xcmplx_0(33,51) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r52_rm19,axiom,( k6_xcmplx_0(33,52) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r53_rm20,axiom,( k6_xcmplx_0(33,53) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r54_rm21,axiom,( k6_xcmplx_0(33,54) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r55_rm22,axiom,( k6_xcmplx_0(33,55) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r56_rm23,axiom,( k6_xcmplx_0(33,56) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r57_rm24,axiom,( k6_xcmplx_0(33,57) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r58_rm25,axiom,( k6_xcmplx_0(33,58) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r59_rm26,axiom,( k6_xcmplx_0(33,59) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r5_r28,axiom,( k6_xcmplx_0(33,5) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r60_rm27,axiom,( k6_xcmplx_0(33,60) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r61_rm28,axiom,( k6_xcmplx_0(33,61) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r62_rm29,axiom,( k6_xcmplx_0(33,62) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r63_rm30,axiom,( k6_xcmplx_0(33,63) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r33_r6_r27,axiom,( k6_xcmplx_0(33,6) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r7_r26,axiom,( k6_xcmplx_0(33,7) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r8_r25,axiom,( k6_xcmplx_0(33,8) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r33_r9_r24,axiom,( k6_xcmplx_0(33,9) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r342_r1_r341,axiom,( k6_xcmplx_0(342,1) = 341 )).
fof(rqRealDiff__k6_xcmplx_0__r342_r23_r319,axiom,( k6_xcmplx_0(342,23) = 319 )).
fof(rqRealDiff__k6_xcmplx_0__r342_r2_r340,axiom,( k6_xcmplx_0(342,2) = 340 )).
fof(rqRealDiff__k6_xcmplx_0__r342_r343_rm1,axiom,( k6_xcmplx_0(342,343) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r344_rm2,axiom,( k6_xcmplx_0(342,344) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r345_rm3,axiom,( k6_xcmplx_0(342,345) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r346_rm4,axiom,( k6_xcmplx_0(342,346) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r347_rm5,axiom,( k6_xcmplx_0(342,347) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r348_rm6,axiom,( k6_xcmplx_0(342,348) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r349_rm7,axiom,( k6_xcmplx_0(342,349) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r350_rm8,axiom,( k6_xcmplx_0(342,350) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r351_rm9,axiom,( k6_xcmplx_0(342,351) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r352_rm10,axiom,( k6_xcmplx_0(342,352) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r353_rm11,axiom,( k6_xcmplx_0(342,353) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r354_rm12,axiom,( k6_xcmplx_0(342,354) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r355_rm13,axiom,( k6_xcmplx_0(342,355) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r356_rm14,axiom,( k6_xcmplx_0(342,356) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r357_rm15,axiom,( k6_xcmplx_0(342,357) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r358_rm16,axiom,( k6_xcmplx_0(342,358) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r359_rm17,axiom,( k6_xcmplx_0(342,359) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r360_rm18,axiom,( k6_xcmplx_0(342,360) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r361_rm19,axiom,( k6_xcmplx_0(342,361) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r362_rm20,axiom,( k6_xcmplx_0(342,362) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r363_rm21,axiom,( k6_xcmplx_0(342,363) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r364_rm22,axiom,( k6_xcmplx_0(342,364) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r342_r365_rm23,axiom,( k6_xcmplx_0(342,365) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r342_rm23_r365,axiom,( k6_xcmplx_0(342,k4_xcmplx_0(23)) = 365 )).
fof(rqRealDiff__k6_xcmplx_0__r343_r1_r342,axiom,( k6_xcmplx_0(343,1) = 342 )).
fof(rqRealDiff__k6_xcmplx_0__r343_r342_r1,axiom,( k6_xcmplx_0(343,342) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r343_r344_rm1,axiom,( k6_xcmplx_0(343,344) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r345_rm2,axiom,( k6_xcmplx_0(343,345) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r346_rm3,axiom,( k6_xcmplx_0(343,346) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r347_rm4,axiom,( k6_xcmplx_0(343,347) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r348_rm5,axiom,( k6_xcmplx_0(343,348) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r349_rm6,axiom,( k6_xcmplx_0(343,349) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r350_rm7,axiom,( k6_xcmplx_0(343,350) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r351_rm8,axiom,( k6_xcmplx_0(343,351) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r352_rm9,axiom,( k6_xcmplx_0(343,352) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r353_rm10,axiom,( k6_xcmplx_0(343,353) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r354_rm11,axiom,( k6_xcmplx_0(343,354) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r355_rm12,axiom,( k6_xcmplx_0(343,355) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r356_rm13,axiom,( k6_xcmplx_0(343,356) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r357_rm14,axiom,( k6_xcmplx_0(343,357) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r358_rm15,axiom,( k6_xcmplx_0(343,358) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r359_rm16,axiom,( k6_xcmplx_0(343,359) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r360_rm17,axiom,( k6_xcmplx_0(343,360) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r361_rm18,axiom,( k6_xcmplx_0(343,361) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r362_rm19,axiom,( k6_xcmplx_0(343,362) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r363_rm20,axiom,( k6_xcmplx_0(343,363) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r364_rm21,axiom,( k6_xcmplx_0(343,364) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r343_r365_rm22,axiom,( k6_xcmplx_0(343,365) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r1_r343,axiom,( k6_xcmplx_0(344,1) = 343 )).
fof(rqRealDiff__k6_xcmplx_0__r344_r342_r2,axiom,( k6_xcmplx_0(344,342) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r344_r345_rm1,axiom,( k6_xcmplx_0(344,345) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r346_rm2,axiom,( k6_xcmplx_0(344,346) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r347_rm3,axiom,( k6_xcmplx_0(344,347) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r348_rm4,axiom,( k6_xcmplx_0(344,348) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r349_rm5,axiom,( k6_xcmplx_0(344,349) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r350_rm6,axiom,( k6_xcmplx_0(344,350) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r351_rm7,axiom,( k6_xcmplx_0(344,351) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r352_rm8,axiom,( k6_xcmplx_0(344,352) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r354_rm10,axiom,( k6_xcmplx_0(344,354) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r355_rm11,axiom,( k6_xcmplx_0(344,355) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r356_rm12,axiom,( k6_xcmplx_0(344,356) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r357_rm13,axiom,( k6_xcmplx_0(344,357) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r358_rm14,axiom,( k6_xcmplx_0(344,358) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r359_rm15,axiom,( k6_xcmplx_0(344,359) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r361_rm17,axiom,( k6_xcmplx_0(344,361) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r362_rm18,axiom,( k6_xcmplx_0(344,362) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r363_rm19,axiom,( k6_xcmplx_0(344,363) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r344_r364_rm20,axiom,( k6_xcmplx_0(344,364) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r1_r344,axiom,( k6_xcmplx_0(345,1) = 344 )).
fof(rqRealDiff__k6_xcmplx_0__r345_r342_r3,axiom,( k6_xcmplx_0(345,342) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r345_r344_r1,axiom,( k6_xcmplx_0(345,344) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r345_r346_rm1,axiom,( k6_xcmplx_0(345,346) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r347_rm2,axiom,( k6_xcmplx_0(345,347) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r348_rm3,axiom,( k6_xcmplx_0(345,348) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r349_rm4,axiom,( k6_xcmplx_0(345,349) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r350_rm5,axiom,( k6_xcmplx_0(345,350) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r351_rm6,axiom,( k6_xcmplx_0(345,351) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r352_rm7,axiom,( k6_xcmplx_0(345,352) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r355_rm10,axiom,( k6_xcmplx_0(345,355) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r356_rm11,axiom,( k6_xcmplx_0(345,356) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r357_rm12,axiom,( k6_xcmplx_0(345,357) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r358_rm13,axiom,( k6_xcmplx_0(345,358) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r359_rm14,axiom,( k6_xcmplx_0(345,359) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r362_rm17,axiom,( k6_xcmplx_0(345,362) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r363_rm18,axiom,( k6_xcmplx_0(345,363) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r345_r364_rm19,axiom,( k6_xcmplx_0(345,364) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r1_r345,axiom,( k6_xcmplx_0(346,1) = 345 )).
fof(rqRealDiff__k6_xcmplx_0__r346_r342_r4,axiom,( k6_xcmplx_0(346,342) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r346_r344_r2,axiom,( k6_xcmplx_0(346,344) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r346_r345_r1,axiom,( k6_xcmplx_0(346,345) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r346_r347_rm1,axiom,( k6_xcmplx_0(346,347) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r348_rm2,axiom,( k6_xcmplx_0(346,348) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r349_rm3,axiom,( k6_xcmplx_0(346,349) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r350_rm4,axiom,( k6_xcmplx_0(346,350) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r351_rm5,axiom,( k6_xcmplx_0(346,351) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r352_rm6,axiom,( k6_xcmplx_0(346,352) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r356_rm10,axiom,( k6_xcmplx_0(346,356) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r357_rm11,axiom,( k6_xcmplx_0(346,357) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r358_rm12,axiom,( k6_xcmplx_0(346,358) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r359_rm13,axiom,( k6_xcmplx_0(346,359) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r363_rm17,axiom,( k6_xcmplx_0(346,363) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r346_r364_rm18,axiom,( k6_xcmplx_0(346,364) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r1_r346,axiom,( k6_xcmplx_0(347,1) = 346 )).
fof(rqRealDiff__k6_xcmplx_0__r347_r342_r5,axiom,( k6_xcmplx_0(347,342) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r347_r344_r3,axiom,( k6_xcmplx_0(347,344) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r347_r345_r2,axiom,( k6_xcmplx_0(347,345) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r347_r346_r1,axiom,( k6_xcmplx_0(347,346) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r347_r348_rm1,axiom,( k6_xcmplx_0(347,348) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r349_rm2,axiom,( k6_xcmplx_0(347,349) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r350_rm3,axiom,( k6_xcmplx_0(347,350) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r351_rm4,axiom,( k6_xcmplx_0(347,351) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r352_rm5,axiom,( k6_xcmplx_0(347,352) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r357_rm10,axiom,( k6_xcmplx_0(347,357) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r358_rm11,axiom,( k6_xcmplx_0(347,358) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r359_rm12,axiom,( k6_xcmplx_0(347,359) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r347_r364_rm17,axiom,( k6_xcmplx_0(347,364) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r348_r1_r347,axiom,( k6_xcmplx_0(348,1) = 347 )).
fof(rqRealDiff__k6_xcmplx_0__r348_r342_r6,axiom,( k6_xcmplx_0(348,342) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r348_r344_r4,axiom,( k6_xcmplx_0(348,344) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r348_r345_r3,axiom,( k6_xcmplx_0(348,345) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r348_r346_r2,axiom,( k6_xcmplx_0(348,346) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r348_r347_r1,axiom,( k6_xcmplx_0(348,347) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r348_r349_rm1,axiom,( k6_xcmplx_0(348,349) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r348_r350_rm2,axiom,( k6_xcmplx_0(348,350) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r348_r351_rm3,axiom,( k6_xcmplx_0(348,351) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r348_r352_rm4,axiom,( k6_xcmplx_0(348,352) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r348_r358_rm10,axiom,( k6_xcmplx_0(348,358) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r348_r359_rm11,axiom,( k6_xcmplx_0(348,359) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r349_r1_r348,axiom,( k6_xcmplx_0(349,1) = 348 )).
fof(rqRealDiff__k6_xcmplx_0__r349_r342_r7,axiom,( k6_xcmplx_0(349,342) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r349_r344_r5,axiom,( k6_xcmplx_0(349,344) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r349_r345_r4,axiom,( k6_xcmplx_0(349,345) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r349_r346_r3,axiom,( k6_xcmplx_0(349,346) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r349_r347_r2,axiom,( k6_xcmplx_0(349,347) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r349_r348_r1,axiom,( k6_xcmplx_0(349,348) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r349_r350_rm1,axiom,( k6_xcmplx_0(349,350) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r349_r351_rm2,axiom,( k6_xcmplx_0(349,351) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r349_r352_rm3,axiom,( k6_xcmplx_0(349,352) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r0_r34,axiom,( k6_xcmplx_0(34,0) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r10_r24,axiom,( k6_xcmplx_0(34,10) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r11_r23,axiom,( k6_xcmplx_0(34,11) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r12_r22,axiom,( k6_xcmplx_0(34,12) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r13_r21,axiom,( k6_xcmplx_0(34,13) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r14_r20,axiom,( k6_xcmplx_0(34,14) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r15_r19,axiom,( k6_xcmplx_0(34,15) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r16_r18,axiom,( k6_xcmplx_0(34,16) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r17_r17,axiom,( k6_xcmplx_0(34,17) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r18_r16,axiom,( k6_xcmplx_0(34,18) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r19_r15,axiom,( k6_xcmplx_0(34,19) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r20_r14,axiom,( k6_xcmplx_0(34,20) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r21_r13,axiom,( k6_xcmplx_0(34,21) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r22_r12,axiom,( k6_xcmplx_0(34,22) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r23_r11,axiom,( k6_xcmplx_0(34,23) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r24_r10,axiom,( k6_xcmplx_0(34,24) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r25_r9,axiom,( k6_xcmplx_0(34,25) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r26_r8,axiom,( k6_xcmplx_0(34,26) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r27_r7,axiom,( k6_xcmplx_0(34,27) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r28_r6,axiom,( k6_xcmplx_0(34,28) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r29_r5,axiom,( k6_xcmplx_0(34,29) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r30_r4,axiom,( k6_xcmplx_0(34,30) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r31_r3,axiom,( k6_xcmplx_0(34,31) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r32_r2,axiom,( k6_xcmplx_0(34,32) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r33_r1,axiom,( k6_xcmplx_0(34,33) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r34_r0,axiom,( k6_xcmplx_0(34,34) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r35_rm1,axiom,( k6_xcmplx_0(34,35) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r36_rm2,axiom,( k6_xcmplx_0(34,36) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r37_rm3,axiom,( k6_xcmplx_0(34,37) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r38_rm4,axiom,( k6_xcmplx_0(34,38) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r39_rm5,axiom,( k6_xcmplx_0(34,39) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r40_rm6,axiom,( k6_xcmplx_0(34,40) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r41_rm7,axiom,( k6_xcmplx_0(34,41) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r42_rm8,axiom,( k6_xcmplx_0(34,42) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r43_rm9,axiom,( k6_xcmplx_0(34,43) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r44_rm10,axiom,( k6_xcmplx_0(34,44) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r45_rm11,axiom,( k6_xcmplx_0(34,45) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r46_rm12,axiom,( k6_xcmplx_0(34,46) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r47_rm13,axiom,( k6_xcmplx_0(34,47) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r48_rm14,axiom,( k6_xcmplx_0(34,48) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r49_rm15,axiom,( k6_xcmplx_0(34,49) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r50_rm16,axiom,( k6_xcmplx_0(34,50) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r51_rm17,axiom,( k6_xcmplx_0(34,51) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r52_rm18,axiom,( k6_xcmplx_0(34,52) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r53_rm19,axiom,( k6_xcmplx_0(34,53) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r54_rm20,axiom,( k6_xcmplx_0(34,54) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r55_rm21,axiom,( k6_xcmplx_0(34,55) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r56_rm22,axiom,( k6_xcmplx_0(34,56) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r57_rm23,axiom,( k6_xcmplx_0(34,57) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r58_rm24,axiom,( k6_xcmplx_0(34,58) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r59_rm25,axiom,( k6_xcmplx_0(34,59) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r5_r29,axiom,( k6_xcmplx_0(34,5) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r60_rm26,axiom,( k6_xcmplx_0(34,60) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r61_rm27,axiom,( k6_xcmplx_0(34,61) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r62_rm28,axiom,( k6_xcmplx_0(34,62) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r63_rm29,axiom,( k6_xcmplx_0(34,63) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r34_r6_r28,axiom,( k6_xcmplx_0(34,6) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r7_r27,axiom,( k6_xcmplx_0(34,7) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r8_r26,axiom,( k6_xcmplx_0(34,8) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r34_r9_r25,axiom,( k6_xcmplx_0(34,9) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r34_rm1_r35,axiom,( k6_xcmplx_0(34,k4_xcmplx_0(1)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r34_rm2_r36,axiom,( k6_xcmplx_0(34,k4_xcmplx_0(2)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r34_rn98d3_rn4d3,axiom,( k6_xcmplx_0(34,k7_xcmplx_0(98,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__r350_r1_r349,axiom,( k6_xcmplx_0(350,1) = 349 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r342_r8,axiom,( k6_xcmplx_0(350,342) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r344_r6,axiom,( k6_xcmplx_0(350,344) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r345_r5,axiom,( k6_xcmplx_0(350,345) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r346_r4,axiom,( k6_xcmplx_0(350,346) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r347_r3,axiom,( k6_xcmplx_0(350,347) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r348_r2,axiom,( k6_xcmplx_0(350,348) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r349_r1,axiom,( k6_xcmplx_0(350,349) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r350_r351_rm1,axiom,( k6_xcmplx_0(350,351) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r350_r352_rm2,axiom,( k6_xcmplx_0(350,352) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r351_r1_r350,axiom,( k6_xcmplx_0(351,1) = 350 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r342_r9,axiom,( k6_xcmplx_0(351,342) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r344_r7,axiom,( k6_xcmplx_0(351,344) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r345_r6,axiom,( k6_xcmplx_0(351,345) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r346_r5,axiom,( k6_xcmplx_0(351,346) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r347_r4,axiom,( k6_xcmplx_0(351,347) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r348_r3,axiom,( k6_xcmplx_0(351,348) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r349_r2,axiom,( k6_xcmplx_0(351,349) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r351_r350_r1,axiom,( k6_xcmplx_0(351,350) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r1_r351,axiom,( k6_xcmplx_0(352,1) = 351 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r342_r10,axiom,( k6_xcmplx_0(352,342) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r344_r8,axiom,( k6_xcmplx_0(352,344) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r345_r7,axiom,( k6_xcmplx_0(352,345) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r346_r6,axiom,( k6_xcmplx_0(352,346) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r347_r5,axiom,( k6_xcmplx_0(352,347) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r348_r4,axiom,( k6_xcmplx_0(352,348) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r349_r3,axiom,( k6_xcmplx_0(352,349) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r350_r2,axiom,( k6_xcmplx_0(352,350) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r352_r351_r1,axiom,( k6_xcmplx_0(352,351) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r1_r352,axiom,( k6_xcmplx_0(353,1) = 352 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r342_r11,axiom,( k6_xcmplx_0(353,342) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r344_r9,axiom,( k6_xcmplx_0(353,344) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r345_r8,axiom,( k6_xcmplx_0(353,345) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r346_r7,axiom,( k6_xcmplx_0(353,346) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r347_r6,axiom,( k6_xcmplx_0(353,347) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r348_r5,axiom,( k6_xcmplx_0(353,348) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r349_r4,axiom,( k6_xcmplx_0(353,349) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r350_r3,axiom,( k6_xcmplx_0(353,350) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r351_r2,axiom,( k6_xcmplx_0(353,351) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r352_r1,axiom,( k6_xcmplx_0(353,352) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r353_r354_rm1,axiom,( k6_xcmplx_0(353,354) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r355_rm2,axiom,( k6_xcmplx_0(353,355) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r356_rm3,axiom,( k6_xcmplx_0(353,356) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r357_rm4,axiom,( k6_xcmplx_0(353,357) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r358_rm5,axiom,( k6_xcmplx_0(353,358) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r359_rm6,axiom,( k6_xcmplx_0(353,359) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r361_rm8,axiom,( k6_xcmplx_0(353,361) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r362_rm9,axiom,( k6_xcmplx_0(353,362) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r363_rm10,axiom,( k6_xcmplx_0(353,363) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r353_r364_rm11,axiom,( k6_xcmplx_0(353,364) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r1_r353,axiom,( k6_xcmplx_0(354,1) = 353 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r342_r12,axiom,( k6_xcmplx_0(354,342) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r344_r10,axiom,( k6_xcmplx_0(354,344) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r345_r9,axiom,( k6_xcmplx_0(354,345) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r346_r8,axiom,( k6_xcmplx_0(354,346) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r347_r7,axiom,( k6_xcmplx_0(354,347) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r348_r6,axiom,( k6_xcmplx_0(354,348) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r349_r5,axiom,( k6_xcmplx_0(354,349) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r350_r4,axiom,( k6_xcmplx_0(354,350) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r351_r3,axiom,( k6_xcmplx_0(354,351) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r352_r2,axiom,( k6_xcmplx_0(354,352) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r353_r1,axiom,( k6_xcmplx_0(354,353) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r354_r355_rm1,axiom,( k6_xcmplx_0(354,355) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r356_rm2,axiom,( k6_xcmplx_0(354,356) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r357_rm3,axiom,( k6_xcmplx_0(354,357) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r358_rm4,axiom,( k6_xcmplx_0(354,358) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r359_rm5,axiom,( k6_xcmplx_0(354,359) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r362_rm8,axiom,( k6_xcmplx_0(354,362) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r363_rm9,axiom,( k6_xcmplx_0(354,363) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r354_r364_rm10,axiom,( k6_xcmplx_0(354,364) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r355_r1_r354,axiom,( k6_xcmplx_0(355,1) = 354 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r342_r13,axiom,( k6_xcmplx_0(355,342) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r344_r11,axiom,( k6_xcmplx_0(355,344) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r345_r10,axiom,( k6_xcmplx_0(355,345) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r346_r9,axiom,( k6_xcmplx_0(355,346) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r347_r8,axiom,( k6_xcmplx_0(355,347) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r348_r7,axiom,( k6_xcmplx_0(355,348) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r349_r6,axiom,( k6_xcmplx_0(355,349) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r350_r5,axiom,( k6_xcmplx_0(355,350) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r351_r4,axiom,( k6_xcmplx_0(355,351) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r352_r3,axiom,( k6_xcmplx_0(355,352) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r353_r2,axiom,( k6_xcmplx_0(355,353) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r354_r1,axiom,( k6_xcmplx_0(355,354) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r355_r356_rm1,axiom,( k6_xcmplx_0(355,356) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r355_r357_rm2,axiom,( k6_xcmplx_0(355,357) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r355_r358_rm3,axiom,( k6_xcmplx_0(355,358) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r355_r359_rm4,axiom,( k6_xcmplx_0(355,359) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r355_r363_rm8,axiom,( k6_xcmplx_0(355,363) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r355_r364_rm9,axiom,( k6_xcmplx_0(355,364) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r356_r1_r355,axiom,( k6_xcmplx_0(356,1) = 355 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r342_r14,axiom,( k6_xcmplx_0(356,342) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r344_r12,axiom,( k6_xcmplx_0(356,344) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r345_r11,axiom,( k6_xcmplx_0(356,345) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r346_r10,axiom,( k6_xcmplx_0(356,346) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r347_r9,axiom,( k6_xcmplx_0(356,347) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r348_r8,axiom,( k6_xcmplx_0(356,348) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r349_r7,axiom,( k6_xcmplx_0(356,349) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r350_r6,axiom,( k6_xcmplx_0(356,350) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r351_r5,axiom,( k6_xcmplx_0(356,351) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r352_r4,axiom,( k6_xcmplx_0(356,352) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r353_r3,axiom,( k6_xcmplx_0(356,353) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r354_r2,axiom,( k6_xcmplx_0(356,354) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r355_r1,axiom,( k6_xcmplx_0(356,355) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r356_r357_rm1,axiom,( k6_xcmplx_0(356,357) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r356_r358_rm2,axiom,( k6_xcmplx_0(356,358) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r356_r359_rm3,axiom,( k6_xcmplx_0(356,359) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r356_r364_rm8,axiom,( k6_xcmplx_0(356,364) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r357_r128_r229,axiom,( k6_xcmplx_0(357,128) = 229 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r169_r188,axiom,( k6_xcmplx_0(357,169) = 188 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r1_r356,axiom,( k6_xcmplx_0(357,1) = 356 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r342_r15,axiom,( k6_xcmplx_0(357,342) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r344_r13,axiom,( k6_xcmplx_0(357,344) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r345_r12,axiom,( k6_xcmplx_0(357,345) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r346_r11,axiom,( k6_xcmplx_0(357,346) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r347_r10,axiom,( k6_xcmplx_0(357,347) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r348_r9,axiom,( k6_xcmplx_0(357,348) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r349_r8,axiom,( k6_xcmplx_0(357,349) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r350_r7,axiom,( k6_xcmplx_0(357,350) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r351_r6,axiom,( k6_xcmplx_0(357,351) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r352_r5,axiom,( k6_xcmplx_0(357,352) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r353_r4,axiom,( k6_xcmplx_0(357,353) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r354_r3,axiom,( k6_xcmplx_0(357,354) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r355_r2,axiom,( k6_xcmplx_0(357,355) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r356_r1,axiom,( k6_xcmplx_0(357,356) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r358_rm1,axiom,( k6_xcmplx_0(357,358) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r357_r359_rm2,axiom,( k6_xcmplx_0(357,359) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r357_r3_r354,axiom,( k6_xcmplx_0(357,3) = 354 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r44_r313,axiom,( k6_xcmplx_0(357,44) = 313 )).
fof(rqRealDiff__k6_xcmplx_0__r357_r64_r293,axiom,( k6_xcmplx_0(357,64) = 293 )).
fof(rqRealDiff__k6_xcmplx_0__r357_rm357_r714,axiom,( k6_xcmplx_0(357,k4_xcmplx_0(357)) = 714 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r1_r357,axiom,( k6_xcmplx_0(358,1) = 357 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r342_r16,axiom,( k6_xcmplx_0(358,342) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r344_r14,axiom,( k6_xcmplx_0(358,344) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r345_r13,axiom,( k6_xcmplx_0(358,345) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r346_r12,axiom,( k6_xcmplx_0(358,346) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r347_r11,axiom,( k6_xcmplx_0(358,347) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r348_r10,axiom,( k6_xcmplx_0(358,348) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r349_r9,axiom,( k6_xcmplx_0(358,349) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r350_r8,axiom,( k6_xcmplx_0(358,350) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r351_r7,axiom,( k6_xcmplx_0(358,351) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r352_r6,axiom,( k6_xcmplx_0(358,352) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r353_r5,axiom,( k6_xcmplx_0(358,353) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r354_r4,axiom,( k6_xcmplx_0(358,354) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r355_r3,axiom,( k6_xcmplx_0(358,355) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r356_r2,axiom,( k6_xcmplx_0(358,356) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r358_r357_r1,axiom,( k6_xcmplx_0(358,357) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r1_r358,axiom,( k6_xcmplx_0(359,1) = 358 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r342_r17,axiom,( k6_xcmplx_0(359,342) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r344_r15,axiom,( k6_xcmplx_0(359,344) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r345_r14,axiom,( k6_xcmplx_0(359,345) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r346_r13,axiom,( k6_xcmplx_0(359,346) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r347_r12,axiom,( k6_xcmplx_0(359,347) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r348_r11,axiom,( k6_xcmplx_0(359,348) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r349_r10,axiom,( k6_xcmplx_0(359,349) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r350_r9,axiom,( k6_xcmplx_0(359,350) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r351_r8,axiom,( k6_xcmplx_0(359,351) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r352_r7,axiom,( k6_xcmplx_0(359,352) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r353_r6,axiom,( k6_xcmplx_0(359,353) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r354_r5,axiom,( k6_xcmplx_0(359,354) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r355_r4,axiom,( k6_xcmplx_0(359,355) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r356_r3,axiom,( k6_xcmplx_0(359,356) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r357_r2,axiom,( k6_xcmplx_0(359,357) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r359_r358_r1,axiom,( k6_xcmplx_0(359,358) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r0_r35,axiom,( k6_xcmplx_0(35,0) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r18_r17,axiom,( k6_xcmplx_0(35,18) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r1_r34,axiom,( k6_xcmplx_0(35,1) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r21_r14,axiom,( k6_xcmplx_0(35,21) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r22_r13,axiom,( k6_xcmplx_0(35,22) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r23_r12,axiom,( k6_xcmplx_0(35,23) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r24_r11,axiom,( k6_xcmplx_0(35,24) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r27_r8,axiom,( k6_xcmplx_0(35,27) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r28_r7,axiom,( k6_xcmplx_0(35,28) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r29_r6,axiom,( k6_xcmplx_0(35,29) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r2_r33,axiom,( k6_xcmplx_0(35,2) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r30_r5,axiom,( k6_xcmplx_0(35,30) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r31_r4,axiom,( k6_xcmplx_0(35,31) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r32_r3,axiom,( k6_xcmplx_0(35,32) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r35_r0,axiom,( k6_xcmplx_0(35,35) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r36_rm1,axiom,( k6_xcmplx_0(35,36) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r37_rm2,axiom,( k6_xcmplx_0(35,37) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r38_rm3,axiom,( k6_xcmplx_0(35,38) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r39_rm4,axiom,( k6_xcmplx_0(35,39) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r3_r32,axiom,( k6_xcmplx_0(35,3) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r40_rm5,axiom,( k6_xcmplx_0(35,40) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r41_rm6,axiom,( k6_xcmplx_0(35,41) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r42_rm7,axiom,( k6_xcmplx_0(35,42) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r43_rm8,axiom,( k6_xcmplx_0(35,43) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r44_rm9,axiom,( k6_xcmplx_0(35,44) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r45_rm10,axiom,( k6_xcmplx_0(35,45) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r46_rm11,axiom,( k6_xcmplx_0(35,46) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r47_rm12,axiom,( k6_xcmplx_0(35,47) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r48_rm13,axiom,( k6_xcmplx_0(35,48) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r49_rm14,axiom,( k6_xcmplx_0(35,49) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r4_r31,axiom,( k6_xcmplx_0(35,4) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r50_rm15,axiom,( k6_xcmplx_0(35,50) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r51_rm16,axiom,( k6_xcmplx_0(35,51) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r52_rm17,axiom,( k6_xcmplx_0(35,52) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r53_rm18,axiom,( k6_xcmplx_0(35,53) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r54_rm19,axiom,( k6_xcmplx_0(35,54) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r55_rm20,axiom,( k6_xcmplx_0(35,55) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r56_rm21,axiom,( k6_xcmplx_0(35,56) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r57_rm22,axiom,( k6_xcmplx_0(35,57) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r58_rm23,axiom,( k6_xcmplx_0(35,58) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r59_rm24,axiom,( k6_xcmplx_0(35,59) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r5_r30,axiom,( k6_xcmplx_0(35,5) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r60_rm25,axiom,( k6_xcmplx_0(35,60) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r61_rm26,axiom,( k6_xcmplx_0(35,61) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r62_rm27,axiom,( k6_xcmplx_0(35,62) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r63_rm28,axiom,( k6_xcmplx_0(35,63) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r35_r6_r29,axiom,( k6_xcmplx_0(35,6) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r7_r28,axiom,( k6_xcmplx_0(35,7) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r8_r27,axiom,( k6_xcmplx_0(35,8) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r35_r9_r26,axiom,( k6_xcmplx_0(35,9) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r35_rm1_r36,axiom,( k6_xcmplx_0(35,k4_xcmplx_0(1)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r35_rn1d2_rn69d2,axiom,( k6_xcmplx_0(35,k7_xcmplx_0(1,2)) = k7_xcmplx_0(69,2) )).
fof(rqRealDiff__k6_xcmplx_0__r35_rnm1d2_rn71d2,axiom,( k6_xcmplx_0(35,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(71,2) )).
fof(rqRealDiff__k6_xcmplx_0__r360_r108_r252,axiom,( k6_xcmplx_0(360,108) = 252 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r1_r359,axiom,( k6_xcmplx_0(360,1) = 359 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r252_r108,axiom,( k6_xcmplx_0(360,252) = 108 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r342_r18,axiom,( k6_xcmplx_0(360,342) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r344_r16,axiom,( k6_xcmplx_0(360,344) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r345_r15,axiom,( k6_xcmplx_0(360,345) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r346_r14,axiom,( k6_xcmplx_0(360,346) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r347_r13,axiom,( k6_xcmplx_0(360,347) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r348_r12,axiom,( k6_xcmplx_0(360,348) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r349_r11,axiom,( k6_xcmplx_0(360,349) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r350_r10,axiom,( k6_xcmplx_0(360,350) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r351_r9,axiom,( k6_xcmplx_0(360,351) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r352_r8,axiom,( k6_xcmplx_0(360,352) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r353_r7,axiom,( k6_xcmplx_0(360,353) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r354_r6,axiom,( k6_xcmplx_0(360,354) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r355_r5,axiom,( k6_xcmplx_0(360,355) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r356_r4,axiom,( k6_xcmplx_0(360,356) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r357_r3,axiom,( k6_xcmplx_0(360,357) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r358_r2,axiom,( k6_xcmplx_0(360,358) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r359_r1,axiom,( k6_xcmplx_0(360,359) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r361_rm1,axiom,( k6_xcmplx_0(360,361) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r360_r362_rm2,axiom,( k6_xcmplx_0(360,362) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r360_r363_rm3,axiom,( k6_xcmplx_0(360,363) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r360_r364_rm4,axiom,( k6_xcmplx_0(360,364) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r360_r414_rm54,axiom,( k6_xcmplx_0(360,414) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r360_r45_r315,axiom,( k6_xcmplx_0(360,45) = 315 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r54_r306,axiom,( k6_xcmplx_0(360,54) = 306 )).
fof(rqRealDiff__k6_xcmplx_0__r360_r8_r352,axiom,( k6_xcmplx_0(360,8) = 352 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r1_r360,axiom,( k6_xcmplx_0(361,1) = 360 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r342_r19,axiom,( k6_xcmplx_0(361,342) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r344_r17,axiom,( k6_xcmplx_0(361,344) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r345_r16,axiom,( k6_xcmplx_0(361,345) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r346_r15,axiom,( k6_xcmplx_0(361,346) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r347_r14,axiom,( k6_xcmplx_0(361,347) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r348_r13,axiom,( k6_xcmplx_0(361,348) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r349_r12,axiom,( k6_xcmplx_0(361,349) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r350_r11,axiom,( k6_xcmplx_0(361,350) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r351_r10,axiom,( k6_xcmplx_0(361,351) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r352_r9,axiom,( k6_xcmplx_0(361,352) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r353_r8,axiom,( k6_xcmplx_0(361,353) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r354_r7,axiom,( k6_xcmplx_0(361,354) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r355_r6,axiom,( k6_xcmplx_0(361,355) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r356_r5,axiom,( k6_xcmplx_0(361,356) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r357_r4,axiom,( k6_xcmplx_0(361,357) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r358_r3,axiom,( k6_xcmplx_0(361,358) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r359_r2,axiom,( k6_xcmplx_0(361,359) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r360_r1,axiom,( k6_xcmplx_0(361,360) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r361_r362_rm1,axiom,( k6_xcmplx_0(361,362) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r361_r363_rm2,axiom,( k6_xcmplx_0(361,363) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r361_r364_rm3,axiom,( k6_xcmplx_0(361,364) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r362_r1_r361,axiom,( k6_xcmplx_0(362,1) = 361 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r342_r20,axiom,( k6_xcmplx_0(362,342) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r344_r18,axiom,( k6_xcmplx_0(362,344) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r345_r17,axiom,( k6_xcmplx_0(362,345) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r346_r16,axiom,( k6_xcmplx_0(362,346) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r347_r15,axiom,( k6_xcmplx_0(362,347) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r348_r14,axiom,( k6_xcmplx_0(362,348) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r349_r13,axiom,( k6_xcmplx_0(362,349) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r350_r12,axiom,( k6_xcmplx_0(362,350) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r351_r11,axiom,( k6_xcmplx_0(362,351) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r352_r10,axiom,( k6_xcmplx_0(362,352) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r353_r9,axiom,( k6_xcmplx_0(362,353) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r354_r8,axiom,( k6_xcmplx_0(362,354) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r355_r7,axiom,( k6_xcmplx_0(362,355) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r356_r6,axiom,( k6_xcmplx_0(362,356) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r357_r5,axiom,( k6_xcmplx_0(362,357) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r358_r4,axiom,( k6_xcmplx_0(362,358) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r359_r3,axiom,( k6_xcmplx_0(362,359) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r360_r2,axiom,( k6_xcmplx_0(362,360) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r361_r1,axiom,( k6_xcmplx_0(362,361) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r362_r363_rm1,axiom,( k6_xcmplx_0(362,363) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r362_r364_rm2,axiom,( k6_xcmplx_0(362,364) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r363_r1_r362,axiom,( k6_xcmplx_0(363,1) = 362 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r342_r21,axiom,( k6_xcmplx_0(363,342) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r344_r19,axiom,( k6_xcmplx_0(363,344) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r345_r18,axiom,( k6_xcmplx_0(363,345) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r346_r17,axiom,( k6_xcmplx_0(363,346) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r347_r16,axiom,( k6_xcmplx_0(363,347) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r348_r15,axiom,( k6_xcmplx_0(363,348) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r349_r14,axiom,( k6_xcmplx_0(363,349) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r350_r13,axiom,( k6_xcmplx_0(363,350) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r351_r12,axiom,( k6_xcmplx_0(363,351) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r352_r11,axiom,( k6_xcmplx_0(363,352) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r353_r10,axiom,( k6_xcmplx_0(363,353) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r354_r9,axiom,( k6_xcmplx_0(363,354) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r355_r8,axiom,( k6_xcmplx_0(363,355) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r356_r7,axiom,( k6_xcmplx_0(363,356) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r357_r6,axiom,( k6_xcmplx_0(363,357) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r358_r5,axiom,( k6_xcmplx_0(363,358) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r359_r4,axiom,( k6_xcmplx_0(363,359) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r360_r3,axiom,( k6_xcmplx_0(363,360) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r361_r2,axiom,( k6_xcmplx_0(363,361) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r362_r1,axiom,( k6_xcmplx_0(363,362) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r363_r364_rm1,axiom,( k6_xcmplx_0(363,364) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r364_r1_r363,axiom,( k6_xcmplx_0(364,1) = 363 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r342_r22,axiom,( k6_xcmplx_0(364,342) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r344_r20,axiom,( k6_xcmplx_0(364,344) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r345_r19,axiom,( k6_xcmplx_0(364,345) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r346_r18,axiom,( k6_xcmplx_0(364,346) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r347_r17,axiom,( k6_xcmplx_0(364,347) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r348_r16,axiom,( k6_xcmplx_0(364,348) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r349_r15,axiom,( k6_xcmplx_0(364,349) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r350_r14,axiom,( k6_xcmplx_0(364,350) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r351_r13,axiom,( k6_xcmplx_0(364,351) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r352_r12,axiom,( k6_xcmplx_0(364,352) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r353_r11,axiom,( k6_xcmplx_0(364,353) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r354_r10,axiom,( k6_xcmplx_0(364,354) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r355_r9,axiom,( k6_xcmplx_0(364,355) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r356_r8,axiom,( k6_xcmplx_0(364,356) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r357_r7,axiom,( k6_xcmplx_0(364,357) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r358_r6,axiom,( k6_xcmplx_0(364,358) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r359_r5,axiom,( k6_xcmplx_0(364,359) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r360_r4,axiom,( k6_xcmplx_0(364,360) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r361_r3,axiom,( k6_xcmplx_0(364,361) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r362_r2,axiom,( k6_xcmplx_0(364,362) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r364_r363_r1,axiom,( k6_xcmplx_0(364,363) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r0_r365,axiom,( k6_xcmplx_0(365,0) = 365 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r11_r354,axiom,( k6_xcmplx_0(365,11) = 354 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r12_r353,axiom,( k6_xcmplx_0(365,12) = 353 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r1_r364,axiom,( k6_xcmplx_0(365,1) = 364 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r23_r342,axiom,( k6_xcmplx_0(365,23) = 342 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r2_r363,axiom,( k6_xcmplx_0(365,2) = 363 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r342_r23,axiom,( k6_xcmplx_0(365,342) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r343_r22,axiom,( k6_xcmplx_0(365,343) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r344_r21,axiom,( k6_xcmplx_0(365,344) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r345_r20,axiom,( k6_xcmplx_0(365,345) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r346_r19,axiom,( k6_xcmplx_0(365,346) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r347_r18,axiom,( k6_xcmplx_0(365,347) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r348_r17,axiom,( k6_xcmplx_0(365,348) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r349_r16,axiom,( k6_xcmplx_0(365,349) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r350_r15,axiom,( k6_xcmplx_0(365,350) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r351_r14,axiom,( k6_xcmplx_0(365,351) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r352_r13,axiom,( k6_xcmplx_0(365,352) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r353_r12,axiom,( k6_xcmplx_0(365,353) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r354_r11,axiom,( k6_xcmplx_0(365,354) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r355_r10,axiom,( k6_xcmplx_0(365,355) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r356_r9,axiom,( k6_xcmplx_0(365,356) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r357_r8,axiom,( k6_xcmplx_0(365,357) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r358_r7,axiom,( k6_xcmplx_0(365,358) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r359_r6,axiom,( k6_xcmplx_0(365,359) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r360_r5,axiom,( k6_xcmplx_0(365,360) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r361_r4,axiom,( k6_xcmplx_0(365,361) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r362_r3,axiom,( k6_xcmplx_0(365,362) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r363_r2,axiom,( k6_xcmplx_0(365,363) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r364_r1,axiom,( k6_xcmplx_0(365,364) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r3_r362,axiom,( k6_xcmplx_0(365,3) = 362 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r5_r360,axiom,( k6_xcmplx_0(365,5) = 360 )).
fof(rqRealDiff__k6_xcmplx_0__r365_r6_r359,axiom,( k6_xcmplx_0(365,6) = 359 )).
fof(rqRealDiff__k6_xcmplx_0__r365_rm23_r388,axiom,( k6_xcmplx_0(365,k4_xcmplx_0(23)) = 388 )).
fof(rqRealDiff__k6_xcmplx_0__r366_r16_r350,axiom,( k6_xcmplx_0(366,16) = 350 )).
fof(rqRealDiff__k6_xcmplx_0__r366_r35_r331,axiom,( k6_xcmplx_0(366,35) = 331 )).
fof(rqRealDiff__k6_xcmplx_0__r366_r3_r363,axiom,( k6_xcmplx_0(366,3) = 363 )).
fof(rqRealDiff__k6_xcmplx_0__r366_r8_r358,axiom,( k6_xcmplx_0(366,8) = 358 )).
fof(rqRealDiff__k6_xcmplx_0__r366_rm366_r732,axiom,( k6_xcmplx_0(366,k4_xcmplx_0(366)) = 732 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r0_r36,axiom,( k6_xcmplx_0(36,0) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r126_rm90,axiom,( k6_xcmplx_0(36,126) = k4_xcmplx_0(90) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r12_r24,axiom,( k6_xcmplx_0(36,12) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r13_r23,axiom,( k6_xcmplx_0(36,13) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r14_r22,axiom,( k6_xcmplx_0(36,14) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r15_r21,axiom,( k6_xcmplx_0(36,15) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r16_r20,axiom,( k6_xcmplx_0(36,16) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r17_r19,axiom,( k6_xcmplx_0(36,17) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r18_r18,axiom,( k6_xcmplx_0(36,18) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r19_r17,axiom,( k6_xcmplx_0(36,19) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r1_r35,axiom,( k6_xcmplx_0(36,1) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r20_r16,axiom,( k6_xcmplx_0(36,20) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r21_r15,axiom,( k6_xcmplx_0(36,21) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r22_r14,axiom,( k6_xcmplx_0(36,22) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r23_r13,axiom,( k6_xcmplx_0(36,23) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r24_r12,axiom,( k6_xcmplx_0(36,24) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r25_r11,axiom,( k6_xcmplx_0(36,25) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r27_r9,axiom,( k6_xcmplx_0(36,27) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r28_r8,axiom,( k6_xcmplx_0(36,28) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r29_r7,axiom,( k6_xcmplx_0(36,29) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r2_r34,axiom,( k6_xcmplx_0(36,2) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r30_r6,axiom,( k6_xcmplx_0(36,30) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r31_r5,axiom,( k6_xcmplx_0(36,31) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r32_r4,axiom,( k6_xcmplx_0(36,32) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r33_r3,axiom,( k6_xcmplx_0(36,33) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r34_r2,axiom,( k6_xcmplx_0(36,34) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r35_r1,axiom,( k6_xcmplx_0(36,35) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r36_r0,axiom,( k6_xcmplx_0(36,36) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r37_rm1,axiom,( k6_xcmplx_0(36,37) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r38_rm2,axiom,( k6_xcmplx_0(36,38) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r39_rm3,axiom,( k6_xcmplx_0(36,39) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r3_r33,axiom,( k6_xcmplx_0(36,3) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r40_rm4,axiom,( k6_xcmplx_0(36,40) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r41_rm5,axiom,( k6_xcmplx_0(36,41) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r42_rm6,axiom,( k6_xcmplx_0(36,42) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r43_rm7,axiom,( k6_xcmplx_0(36,43) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r44_rm8,axiom,( k6_xcmplx_0(36,44) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r45_rm9,axiom,( k6_xcmplx_0(36,45) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r46_rm10,axiom,( k6_xcmplx_0(36,46) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r47_rm11,axiom,( k6_xcmplx_0(36,47) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r48_rm12,axiom,( k6_xcmplx_0(36,48) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r49_rm13,axiom,( k6_xcmplx_0(36,49) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r4_r32,axiom,( k6_xcmplx_0(36,4) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r50_rm14,axiom,( k6_xcmplx_0(36,50) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r51_rm15,axiom,( k6_xcmplx_0(36,51) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r52_rm16,axiom,( k6_xcmplx_0(36,52) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r53_rm17,axiom,( k6_xcmplx_0(36,53) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r54_rm18,axiom,( k6_xcmplx_0(36,54) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r55_rm19,axiom,( k6_xcmplx_0(36,55) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r56_rm20,axiom,( k6_xcmplx_0(36,56) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r57_rm21,axiom,( k6_xcmplx_0(36,57) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r58_rm22,axiom,( k6_xcmplx_0(36,58) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r59_rm23,axiom,( k6_xcmplx_0(36,59) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r5_r31,axiom,( k6_xcmplx_0(36,5) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r60_rm24,axiom,( k6_xcmplx_0(36,60) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r61_rm25,axiom,( k6_xcmplx_0(36,61) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r62_rm26,axiom,( k6_xcmplx_0(36,62) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r63_rm27,axiom,( k6_xcmplx_0(36,63) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r64_rm28,axiom,( k6_xcmplx_0(36,64) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r6_r30,axiom,( k6_xcmplx_0(36,6) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r72_rm36,axiom,( k6_xcmplx_0(36,72) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r36_r7_r29,axiom,( k6_xcmplx_0(36,7) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r36_r8_r28,axiom,( k6_xcmplx_0(36,8) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm12_r48,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(12)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm18_r54,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(18)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm1_r37,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(1)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm24_r60,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(24)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm27_r63,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(27)) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm2_r38,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(2)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm36_r72,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(36)) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm6_r42,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(6)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm8_r44,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(8)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rm9_r45,axiom,( k6_xcmplx_0(36,k4_xcmplx_0(9)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r36_rn1d3_rn107d3,axiom,( k6_xcmplx_0(36,k7_xcmplx_0(1,3)) = k7_xcmplx_0(107,3) )).
fof(rqRealDiff__k6_xcmplx_0__r36_rn1d6_rn215d6,axiom,( k6_xcmplx_0(36,k7_xcmplx_0(1,6)) = k7_xcmplx_0(215,6) )).
fof(rqRealDiff__k6_xcmplx_0__r36_rn216d5_rnm36d5,axiom,( k6_xcmplx_0(36,k7_xcmplx_0(216,5)) = k7_xcmplx_0(k4_xcmplx_0(36),5) )).
fof(rqRealDiff__k6_xcmplx_0__r36_rn27d4_rn117d4,axiom,( k6_xcmplx_0(36,k7_xcmplx_0(27,4)) = k7_xcmplx_0(117,4) )).
fof(rqRealDiff__k6_xcmplx_0__r36_rn36d5_rn144d5,axiom,( k6_xcmplx_0(36,k7_xcmplx_0(36,5)) = k7_xcmplx_0(144,5) )).
fof(rqRealDiff__k6_xcmplx_0__r36_rnm2d3_rn110d3,axiom,( k6_xcmplx_0(36,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(110,3) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r0_r37,axiom,( k6_xcmplx_0(37,0) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r1_r36,axiom,( k6_xcmplx_0(37,1) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r26_r11,axiom,( k6_xcmplx_0(37,26) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r27_r10,axiom,( k6_xcmplx_0(37,27) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r28_r9,axiom,( k6_xcmplx_0(37,28) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r29_r8,axiom,( k6_xcmplx_0(37,29) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r30_r7,axiom,( k6_xcmplx_0(37,30) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r32_r5,axiom,( k6_xcmplx_0(37,32) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r33_r4,axiom,( k6_xcmplx_0(37,33) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r34_r3,axiom,( k6_xcmplx_0(37,34) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r35_r2,axiom,( k6_xcmplx_0(37,35) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r36_r1,axiom,( k6_xcmplx_0(37,36) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r37_r0,axiom,( k6_xcmplx_0(37,37) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r37_r38_rm1,axiom,( k6_xcmplx_0(37,38) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r39_rm2,axiom,( k6_xcmplx_0(37,39) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r40_rm3,axiom,( k6_xcmplx_0(37,40) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r41_rm4,axiom,( k6_xcmplx_0(37,41) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r42_rm5,axiom,( k6_xcmplx_0(37,42) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r43_rm6,axiom,( k6_xcmplx_0(37,43) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r44_rm7,axiom,( k6_xcmplx_0(37,44) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r45_rm8,axiom,( k6_xcmplx_0(37,45) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r46_rm9,axiom,( k6_xcmplx_0(37,46) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r47_rm10,axiom,( k6_xcmplx_0(37,47) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r48_rm11,axiom,( k6_xcmplx_0(37,48) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r49_rm12,axiom,( k6_xcmplx_0(37,49) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r50_rm13,axiom,( k6_xcmplx_0(37,50) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r51_rm14,axiom,( k6_xcmplx_0(37,51) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r52_rm15,axiom,( k6_xcmplx_0(37,52) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r53_rm16,axiom,( k6_xcmplx_0(37,53) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r54_rm17,axiom,( k6_xcmplx_0(37,54) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r55_rm18,axiom,( k6_xcmplx_0(37,55) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r56_rm19,axiom,( k6_xcmplx_0(37,56) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r57_rm20,axiom,( k6_xcmplx_0(37,57) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r58_rm21,axiom,( k6_xcmplx_0(37,58) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r59_rm22,axiom,( k6_xcmplx_0(37,59) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r60_rm23,axiom,( k6_xcmplx_0(37,60) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r61_rm24,axiom,( k6_xcmplx_0(37,61) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r62_rm25,axiom,( k6_xcmplx_0(37,62) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r37_r63_rm26,axiom,( k6_xcmplx_0(37,63) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r384_r384_r0,axiom,( k6_xcmplx_0(384,384) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r384_r480_rm96,axiom,( k6_xcmplx_0(384,480) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__r384_r768_rm384,axiom,( k6_xcmplx_0(384,768) = k4_xcmplx_0(384) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r0_r38,axiom,( k6_xcmplx_0(38,0) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r18_r20,axiom,( k6_xcmplx_0(38,18) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r19_r19,axiom,( k6_xcmplx_0(38,19) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r20_r18,axiom,( k6_xcmplx_0(38,20) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r21_r17,axiom,( k6_xcmplx_0(38,21) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r22_r16,axiom,( k6_xcmplx_0(38,22) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r23_r15,axiom,( k6_xcmplx_0(38,23) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r24_r14,axiom,( k6_xcmplx_0(38,24) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r25_r13,axiom,( k6_xcmplx_0(38,25) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r26_r12,axiom,( k6_xcmplx_0(38,26) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r27_r11,axiom,( k6_xcmplx_0(38,27) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r28_r10,axiom,( k6_xcmplx_0(38,28) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r29_r9,axiom,( k6_xcmplx_0(38,29) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r30_r8,axiom,( k6_xcmplx_0(38,30) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r31_r7,axiom,( k6_xcmplx_0(38,31) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r32_r6,axiom,( k6_xcmplx_0(38,32) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r33_r5,axiom,( k6_xcmplx_0(38,33) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r34_r4,axiom,( k6_xcmplx_0(38,34) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r35_r3,axiom,( k6_xcmplx_0(38,35) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r36_r2,axiom,( k6_xcmplx_0(38,36) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r37_r1,axiom,( k6_xcmplx_0(38,37) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r38_r39_rm1,axiom,( k6_xcmplx_0(38,39) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r40_rm2,axiom,( k6_xcmplx_0(38,40) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r41_rm3,axiom,( k6_xcmplx_0(38,41) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r42_rm4,axiom,( k6_xcmplx_0(38,42) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r43_rm5,axiom,( k6_xcmplx_0(38,43) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r44_rm6,axiom,( k6_xcmplx_0(38,44) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r45_rm7,axiom,( k6_xcmplx_0(38,45) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r46_rm8,axiom,( k6_xcmplx_0(38,46) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r47_rm9,axiom,( k6_xcmplx_0(38,47) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r48_rm10,axiom,( k6_xcmplx_0(38,48) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r49_rm11,axiom,( k6_xcmplx_0(38,49) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r50_rm12,axiom,( k6_xcmplx_0(38,50) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r51_rm13,axiom,( k6_xcmplx_0(38,51) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r52_rm14,axiom,( k6_xcmplx_0(38,52) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r53_rm15,axiom,( k6_xcmplx_0(38,53) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r54_rm16,axiom,( k6_xcmplx_0(38,54) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r55_rm17,axiom,( k6_xcmplx_0(38,55) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r56_rm18,axiom,( k6_xcmplx_0(38,56) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r57_rm19,axiom,( k6_xcmplx_0(38,57) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r58_rm20,axiom,( k6_xcmplx_0(38,58) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r59_rm21,axiom,( k6_xcmplx_0(38,59) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r60_rm22,axiom,( k6_xcmplx_0(38,60) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r61_rm23,axiom,( k6_xcmplx_0(38,61) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r62_rm24,axiom,( k6_xcmplx_0(38,62) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r38_r63_rm25,axiom,( k6_xcmplx_0(38,63) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r0_r39,axiom,( k6_xcmplx_0(39,0) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r10_r29,axiom,( k6_xcmplx_0(39,10) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r11_r28,axiom,( k6_xcmplx_0(39,11) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r12_r27,axiom,( k6_xcmplx_0(39,12) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r13_r26,axiom,( k6_xcmplx_0(39,13) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r14_r25,axiom,( k6_xcmplx_0(39,14) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r15_r24,axiom,( k6_xcmplx_0(39,15) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r17_r22,axiom,( k6_xcmplx_0(39,17) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r18_r21,axiom,( k6_xcmplx_0(39,18) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r19_r20,axiom,( k6_xcmplx_0(39,19) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r1_r38,axiom,( k6_xcmplx_0(39,1) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r20_r19,axiom,( k6_xcmplx_0(39,20) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r21_r18,axiom,( k6_xcmplx_0(39,21) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r22_r17,axiom,( k6_xcmplx_0(39,22) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r23_r16,axiom,( k6_xcmplx_0(39,23) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r25_r14,axiom,( k6_xcmplx_0(39,25) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r26_r13,axiom,( k6_xcmplx_0(39,26) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r27_r12,axiom,( k6_xcmplx_0(39,27) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r28_r11,axiom,( k6_xcmplx_0(39,28) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r29_r10,axiom,( k6_xcmplx_0(39,29) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r2_r37,axiom,( k6_xcmplx_0(39,2) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r30_r9,axiom,( k6_xcmplx_0(39,30) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r31_r8,axiom,( k6_xcmplx_0(39,31) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r33_r6,axiom,( k6_xcmplx_0(39,33) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r34_r5,axiom,( k6_xcmplx_0(39,34) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r35_r4,axiom,( k6_xcmplx_0(39,35) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r36_r3,axiom,( k6_xcmplx_0(39,36) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r37_r2,axiom,( k6_xcmplx_0(39,37) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r38_r1,axiom,( k6_xcmplx_0(39,38) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r39_r0,axiom,( k6_xcmplx_0(39,39) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r40_rm1,axiom,( k6_xcmplx_0(39,40) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r41_rm2,axiom,( k6_xcmplx_0(39,41) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r42_rm3,axiom,( k6_xcmplx_0(39,42) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r43_rm4,axiom,( k6_xcmplx_0(39,43) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r44_rm5,axiom,( k6_xcmplx_0(39,44) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r45_rm6,axiom,( k6_xcmplx_0(39,45) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r46_rm7,axiom,( k6_xcmplx_0(39,46) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r47_rm8,axiom,( k6_xcmplx_0(39,47) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r48_rm9,axiom,( k6_xcmplx_0(39,48) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r49_rm10,axiom,( k6_xcmplx_0(39,49) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r4_r35,axiom,( k6_xcmplx_0(39,4) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r39_r50_rm11,axiom,( k6_xcmplx_0(39,50) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r51_rm12,axiom,( k6_xcmplx_0(39,51) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r52_rm13,axiom,( k6_xcmplx_0(39,52) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r53_rm14,axiom,( k6_xcmplx_0(39,53) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r54_rm15,axiom,( k6_xcmplx_0(39,54) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r55_rm16,axiom,( k6_xcmplx_0(39,55) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r56_rm17,axiom,( k6_xcmplx_0(39,56) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r57_rm18,axiom,( k6_xcmplx_0(39,57) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r58_rm19,axiom,( k6_xcmplx_0(39,58) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r59_rm20,axiom,( k6_xcmplx_0(39,59) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r60_rm21,axiom,( k6_xcmplx_0(39,60) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r61_rm22,axiom,( k6_xcmplx_0(39,61) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r62_rm23,axiom,( k6_xcmplx_0(39,62) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r63_rm24,axiom,( k6_xcmplx_0(39,63) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r73_rm34,axiom,( k6_xcmplx_0(39,73) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r39_r7_r32,axiom,( k6_xcmplx_0(39,7) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r3_cr1r0_crm1r3,axiom,( k6_xcmplx_0(3,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_cr2r0_crm2r3,axiom,( k6_xcmplx_0(3,k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_cr3r0_crm3r3,axiom,( k6_xcmplx_0(3,k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_crm1r0_cr1r3,axiom,( k6_xcmplx_0(3,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_crm3r0_cr3r3,axiom,( k6_xcmplx_0(3,k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3,axiom,( k6_xcmplx_0(3,0) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r3_r100_rm97,axiom,( k6_xcmplx_0(3,100) = k4_xcmplx_0(97) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r108_rm105,axiom,( k6_xcmplx_0(3,108) = k4_xcmplx_0(105) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r10_rm7,axiom,( k6_xcmplx_0(3,10) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r110_rm107,axiom,( k6_xcmplx_0(3,110) = k4_xcmplx_0(107) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r119_rm116,axiom,( k6_xcmplx_0(3,119) = k4_xcmplx_0(116) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r11_rm8,axiom,( k6_xcmplx_0(3,11) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r126_rm123,axiom,( k6_xcmplx_0(3,126) = k4_xcmplx_0(123) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r128_rm125,axiom,( k6_xcmplx_0(3,128) = k4_xcmplx_0(125) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r12_rm9,axiom,( k6_xcmplx_0(3,12) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r136_rm133,axiom,( k6_xcmplx_0(3,136) = k4_xcmplx_0(133) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r13_rm10,axiom,( k6_xcmplx_0(3,13) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r14_rm11,axiom,( k6_xcmplx_0(3,14) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r159_rm156,axiom,( k6_xcmplx_0(3,159) = k4_xcmplx_0(156) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r15_rm12,axiom,( k6_xcmplx_0(3,15) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r164_rm161,axiom,( k6_xcmplx_0(3,164) = k4_xcmplx_0(161) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r16_rm13,axiom,( k6_xcmplx_0(3,16) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r17_rm14,axiom,( k6_xcmplx_0(3,17) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r183_rm180,axiom,( k6_xcmplx_0(3,183) = k4_xcmplx_0(180) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r18_rm15,axiom,( k6_xcmplx_0(3,18) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r192_rm189,axiom,( k6_xcmplx_0(3,192) = k4_xcmplx_0(189) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r197_rm194,axiom,( k6_xcmplx_0(3,197) = k4_xcmplx_0(194) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r19_rm16,axiom,( k6_xcmplx_0(3,19) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2,axiom,( k6_xcmplx_0(3,1) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r3_r203_rm200,axiom,( k6_xcmplx_0(3,203) = k4_xcmplx_0(200) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r20_rm17,axiom,( k6_xcmplx_0(3,20) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r211_rm208,axiom,( k6_xcmplx_0(3,211) = k4_xcmplx_0(208) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r216_rm213,axiom,( k6_xcmplx_0(3,216) = k4_xcmplx_0(213) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r21_rm18,axiom,( k6_xcmplx_0(3,21) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r225_rm222,axiom,( k6_xcmplx_0(3,225) = k4_xcmplx_0(222) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r22_rm19,axiom,( k6_xcmplx_0(3,22) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r23_rm20,axiom,( k6_xcmplx_0(3,23) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r241_rm238,axiom,( k6_xcmplx_0(3,241) = k4_xcmplx_0(238) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r249_rm246,axiom,( k6_xcmplx_0(3,249) = k4_xcmplx_0(246) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r24_rm21,axiom,( k6_xcmplx_0(3,24) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r252_rm249,axiom,( k6_xcmplx_0(3,252) = k4_xcmplx_0(249) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r256_rm253,axiom,( k6_xcmplx_0(3,256) = k4_xcmplx_0(253) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r257_rm254,axiom,( k6_xcmplx_0(3,257) = k4_xcmplx_0(254) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r25_rm22,axiom,( k6_xcmplx_0(3,25) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r26_rm23,axiom,( k6_xcmplx_0(3,26) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r27_rm24,axiom,( k6_xcmplx_0(3,27) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r28_rm25,axiom,( k6_xcmplx_0(3,28) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r29_rm26,axiom,( k6_xcmplx_0(3,29) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1,axiom,( k6_xcmplx_0(3,2) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r3_r30_rm27,axiom,( k6_xcmplx_0(3,30) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r31_rm28,axiom,( k6_xcmplx_0(3,31) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r32_rm29,axiom,( k6_xcmplx_0(3,32) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r332_rm329,axiom,( k6_xcmplx_0(3,332) = k4_xcmplx_0(329) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r33_rm30,axiom,( k6_xcmplx_0(3,33) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r342_rm339,axiom,( k6_xcmplx_0(3,342) = k4_xcmplx_0(339) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r343_rm340,axiom,( k6_xcmplx_0(3,343) = k4_xcmplx_0(340) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r344_rm341,axiom,( k6_xcmplx_0(3,344) = k4_xcmplx_0(341) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r345_rm342,axiom,( k6_xcmplx_0(3,345) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r346_rm343,axiom,( k6_xcmplx_0(3,346) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r347_rm344,axiom,( k6_xcmplx_0(3,347) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r348_rm345,axiom,( k6_xcmplx_0(3,348) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r349_rm346,axiom,( k6_xcmplx_0(3,349) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r34_rm31,axiom,( k6_xcmplx_0(3,34) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r350_rm347,axiom,( k6_xcmplx_0(3,350) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r351_rm348,axiom,( k6_xcmplx_0(3,351) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r352_rm349,axiom,( k6_xcmplx_0(3,352) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r353_rm350,axiom,( k6_xcmplx_0(3,353) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r354_rm351,axiom,( k6_xcmplx_0(3,354) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r355_rm352,axiom,( k6_xcmplx_0(3,355) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r356_rm353,axiom,( k6_xcmplx_0(3,356) = k4_xcmplx_0(353) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r357_rm354,axiom,( k6_xcmplx_0(3,357) = k4_xcmplx_0(354) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r358_rm355,axiom,( k6_xcmplx_0(3,358) = k4_xcmplx_0(355) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r359_rm356,axiom,( k6_xcmplx_0(3,359) = k4_xcmplx_0(356) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r35_rm32,axiom,( k6_xcmplx_0(3,35) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r360_rm357,axiom,( k6_xcmplx_0(3,360) = k4_xcmplx_0(357) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r361_rm358,axiom,( k6_xcmplx_0(3,361) = k4_xcmplx_0(358) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r362_rm359,axiom,( k6_xcmplx_0(3,362) = k4_xcmplx_0(359) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r363_rm360,axiom,( k6_xcmplx_0(3,363) = k4_xcmplx_0(360) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r364_rm361,axiom,( k6_xcmplx_0(3,364) = k4_xcmplx_0(361) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r36_rm33,axiom,( k6_xcmplx_0(3,36) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r37_rm34,axiom,( k6_xcmplx_0(3,37) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r38_rm35,axiom,( k6_xcmplx_0(3,38) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r39_rm36,axiom,( k6_xcmplx_0(3,39) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0,axiom,( k6_xcmplx_0(3,3) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r3_r400_rm397,axiom,( k6_xcmplx_0(3,400) = k4_xcmplx_0(397) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r40_rm37,axiom,( k6_xcmplx_0(3,40) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r414_rm411,axiom,( k6_xcmplx_0(3,414) = k4_xcmplx_0(411) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r419_rm416,axiom,( k6_xcmplx_0(3,419) = k4_xcmplx_0(416) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r41_rm38,axiom,( k6_xcmplx_0(3,41) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r42_rm39,axiom,( k6_xcmplx_0(3,42) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r43_rm40,axiom,( k6_xcmplx_0(3,43) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r446_rm443,axiom,( k6_xcmplx_0(3,446) = k4_xcmplx_0(443) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r44_rm41,axiom,( k6_xcmplx_0(3,44) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r45_rm42,axiom,( k6_xcmplx_0(3,45) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r46_rm43,axiom,( k6_xcmplx_0(3,46) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r47_rm44,axiom,( k6_xcmplx_0(3,47) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r48_rm45,axiom,( k6_xcmplx_0(3,48) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r49_rm46,axiom,( k6_xcmplx_0(3,49) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r4_rm1,axiom,( k6_xcmplx_0(3,4) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r50_rm47,axiom,( k6_xcmplx_0(3,50) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r512_rm509,axiom,( k6_xcmplx_0(3,512) = k4_xcmplx_0(509) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r51_rm48,axiom,( k6_xcmplx_0(3,51) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r52_rm49,axiom,( k6_xcmplx_0(3,52) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r53_rm50,axiom,( k6_xcmplx_0(3,53) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r54_rm51,axiom,( k6_xcmplx_0(3,54) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r55_rm52,axiom,( k6_xcmplx_0(3,55) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r56_rm53,axiom,( k6_xcmplx_0(3,56) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r57_rm54,axiom,( k6_xcmplx_0(3,57) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r58_rm55,axiom,( k6_xcmplx_0(3,58) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r59_rm56,axiom,( k6_xcmplx_0(3,59) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r5_rm2,axiom,( k6_xcmplx_0(3,5) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r60_rm57,axiom,( k6_xcmplx_0(3,60) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r61_rm58,axiom,( k6_xcmplx_0(3,61) = k4_xcmplx_0(58) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r62_rm59,axiom,( k6_xcmplx_0(3,62) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r63_rm60,axiom,( k6_xcmplx_0(3,63) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r64_rm61,axiom,( k6_xcmplx_0(3,64) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r673_rm670,axiom,( k6_xcmplx_0(3,673) = k4_xcmplx_0(670) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r6_rm3,axiom,( k6_xcmplx_0(3,6) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r70_rm67,axiom,( k6_xcmplx_0(3,70) = k4_xcmplx_0(67) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r71_rm68,axiom,( k6_xcmplx_0(3,71) = k4_xcmplx_0(68) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r72_rm69,axiom,( k6_xcmplx_0(3,72) = k4_xcmplx_0(69) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r73_rm70,axiom,( k6_xcmplx_0(3,73) = k4_xcmplx_0(70) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r7_rm4,axiom,( k6_xcmplx_0(3,7) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r809_rm806,axiom,( k6_xcmplx_0(3,809) = k4_xcmplx_0(806) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r81_rm78,axiom,( k6_xcmplx_0(3,81) = k4_xcmplx_0(78) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r83_rm80,axiom,( k6_xcmplx_0(3,83) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r84_rm81,axiom,( k6_xcmplx_0(3,84) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r89_rm86,axiom,( k6_xcmplx_0(3,89) = k4_xcmplx_0(86) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r8_rm5,axiom,( k6_xcmplx_0(3,8) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r90_rm87,axiom,( k6_xcmplx_0(3,90) = k4_xcmplx_0(87) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r91_rm88,axiom,( k6_xcmplx_0(3,91) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r96_rm93,axiom,( k6_xcmplx_0(3,96) = k4_xcmplx_0(93) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r97_rm94,axiom,( k6_xcmplx_0(3,97) = k4_xcmplx_0(94) )).
fof(rqRealDiff__k6_xcmplx_0__r3_r9_rm6,axiom,( k6_xcmplx_0(3,9) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm10_r13,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(10)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm12_r15,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(12)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm16_r19,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(16)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm18_r21,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(18)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm1_r4,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(1)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm25_r28,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(25)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm27_r30,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(27)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm2_r5,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(2)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm34_r37,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(34)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm36_r39,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(36)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm3_r6,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(3)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm46_r49,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(46)) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm4_r7,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(4)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm5_r8,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(5)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm6_r9,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(6)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm7_r10,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(7)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm8_r11,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(8)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rm9_r12,axiom,( k6_xcmplx_0(3,k4_xcmplx_0(9)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn11d10_rn19d10,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(11,10)) = k7_xcmplx_0(19,10) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn121d40_rnm1d40,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(121,40)) = k7_xcmplx_0(k4_xcmplx_0(1),40) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn12d5_rn3d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(12,5)) = k7_xcmplx_0(3,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn13d2_rnm7d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn159d100_rn141d100,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(159,100)) = k7_xcmplx_0(141,100) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn159d200_rn441d200,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(159,200)) = k7_xcmplx_0(441,200) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn16d5_rnm1d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(16,5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d100_rn299d100,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,100)) = k7_xcmplx_0(299,100) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d16_rn47d16,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,16)) = k7_xcmplx_0(47,16) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d24_rn71d24,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,24)) = k7_xcmplx_0(71,24) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d27_rn80d27,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,27)) = k7_xcmplx_0(80,27) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d2_rn5d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d3_rn8d3,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d4_rn11d4,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,4)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d5_rn14d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,5)) = k7_xcmplx_0(14,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d6_rn17d6,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,6)) = k7_xcmplx_0(17,6) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d7_rn20d7,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,7)) = k7_xcmplx_0(20,7) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d80_rn239d80,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,80)) = k7_xcmplx_0(239,80) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d8_rn23d8,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,8)) = k7_xcmplx_0(23,8) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn1d9_rn26d9,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(1,9)) = k7_xcmplx_0(26,9) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn241d80_rnm1d80,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(241,80)) = k7_xcmplx_0(k4_xcmplx_0(1),80) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn243d80_rnm3d80,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(243,80)) = k7_xcmplx_0(k4_xcmplx_0(3),80) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn29d10_rn1d10,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(29,10)) = k7_xcmplx_0(1,10) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn2d3_rn7d3,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(2,3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn2d5_rn13d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(2,5)) = k7_xcmplx_0(13,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn36d5_rnm21d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(36,5)) = k7_xcmplx_0(k4_xcmplx_0(21),5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d16_rn45d16,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(3,16)) = k7_xcmplx_0(45,16) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d256_rn765d256,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(3,256)) = k7_xcmplx_0(765,256) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d32_rn93d32,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(3,32)) = k7_xcmplx_0(93,32) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d4_rn9d4,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(3,4)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d5_rn12d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(3,5)) = k7_xcmplx_0(12,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d8_rn21d8,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(3,8)) = k7_xcmplx_0(21,8) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn49d81_rn194d81,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(49,81)) = k7_xcmplx_0(194,81) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn4d5_rn11d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(4,5)) = k7_xcmplx_0(11,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn4d9_rn23d9,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(4,9)) = k7_xcmplx_0(23,9) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn5d2_rn1d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(5,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn5d3_rn4d3,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(5,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn5d4_rn7d4,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(5,4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn5d8_rn19d8,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(5,8)) = k7_xcmplx_0(19,8) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn7d8_rn17d8,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(7,8)) = k7_xcmplx_0(17,8) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn7d9_rn20d9,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(7,9)) = k7_xcmplx_0(20,9) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn8d27_rn73d27,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(8,27)) = k7_xcmplx_0(73,27) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn8d5_rn7d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(8,5)) = k7_xcmplx_0(7,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn9d2_rnm3d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rn9d4_rn3d4,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(9,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm119d240_rn839d240,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(119),240)) = k7_xcmplx_0(839,240) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm121d40_rn241d40,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(121),40)) = k7_xcmplx_0(241,40) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm159d100_rn459d100,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(459,100) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm15d2_rn21d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(15),2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d10_rn31d10,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(31,10) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d2_rn7d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d3_rn10d3,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d40_rn121d40,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(121,40) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d4_rn13d4,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d5_rn16d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(16,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d6_rn19d6,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(19,6) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d80_rn241d80,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(241,80) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm1d8_rn25d8,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(25,8) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm2d3_rn11d3,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(11,3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm2d5_rn17d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(17,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d16_rn51d16,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(51,16) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d256_rn771d256,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(771,256) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d2_rn9d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d32_rn99d32,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(99,32) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d4_rn15d4,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d5_rn18d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(18,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d80_rn243d80,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),80)) = k7_xcmplx_0(243,80) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm3d8_rn27d8,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(27,8) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm4d5_rn19d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(19,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm5d3_rn14d3,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(14,3) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm5d4_rn17d4,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(17,4) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm7d27_rn88d27,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(88,27) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm8d5_rn23d5,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(23,5) )).
fof(rqRealDiff__k6_xcmplx_0__r3_rnm9d2_rn15d2,axiom,( k6_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__r400_r0_r400,axiom,( k6_xcmplx_0(400,0) = 400 )).
fof(rqRealDiff__k6_xcmplx_0__r400_r18_r382,axiom,( k6_xcmplx_0(400,18) = 382 )).
fof(rqRealDiff__k6_xcmplx_0__r400_r1_r399,axiom,( k6_xcmplx_0(400,1) = 399 )).
fof(rqRealDiff__k6_xcmplx_0__r400_r27_r373,axiom,( k6_xcmplx_0(400,27) = 373 )).
fof(rqRealDiff__k6_xcmplx_0__r400_r2_r398,axiom,( k6_xcmplx_0(400,2) = 398 )).
fof(rqRealDiff__k6_xcmplx_0__r400_r3_r397,axiom,( k6_xcmplx_0(400,3) = 397 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r0_r40,axiom,( k6_xcmplx_0(40,0) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r10_r30,axiom,( k6_xcmplx_0(40,10) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r11_r29,axiom,( k6_xcmplx_0(40,11) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r12_r28,axiom,( k6_xcmplx_0(40,12) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r13_r27,axiom,( k6_xcmplx_0(40,13) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r14_r26,axiom,( k6_xcmplx_0(40,14) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r15_r25,axiom,( k6_xcmplx_0(40,15) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r16_r24,axiom,( k6_xcmplx_0(40,16) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r17_r23,axiom,( k6_xcmplx_0(40,17) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r18_r22,axiom,( k6_xcmplx_0(40,18) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r19_r21,axiom,( k6_xcmplx_0(40,19) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r1_r39,axiom,( k6_xcmplx_0(40,1) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r20_r20,axiom,( k6_xcmplx_0(40,20) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r21_r19,axiom,( k6_xcmplx_0(40,21) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r22_r18,axiom,( k6_xcmplx_0(40,22) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r23_r17,axiom,( k6_xcmplx_0(40,23) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r24_r16,axiom,( k6_xcmplx_0(40,24) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r25_r15,axiom,( k6_xcmplx_0(40,25) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r26_r14,axiom,( k6_xcmplx_0(40,26) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r27_r13,axiom,( k6_xcmplx_0(40,27) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r28_r12,axiom,( k6_xcmplx_0(40,28) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r29_r11,axiom,( k6_xcmplx_0(40,29) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r2_r38,axiom,( k6_xcmplx_0(40,2) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r30_r10,axiom,( k6_xcmplx_0(40,30) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r31_r9,axiom,( k6_xcmplx_0(40,31) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r32_r8,axiom,( k6_xcmplx_0(40,32) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r33_r7,axiom,( k6_xcmplx_0(40,33) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r34_r6,axiom,( k6_xcmplx_0(40,34) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r35_r5,axiom,( k6_xcmplx_0(40,35) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r36_r4,axiom,( k6_xcmplx_0(40,36) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r37_r3,axiom,( k6_xcmplx_0(40,37) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r38_r2,axiom,( k6_xcmplx_0(40,38) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r39_r1,axiom,( k6_xcmplx_0(40,39) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r3_r37,axiom,( k6_xcmplx_0(40,3) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r41_rm1,axiom,( k6_xcmplx_0(40,41) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r42_rm2,axiom,( k6_xcmplx_0(40,42) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r43_rm3,axiom,( k6_xcmplx_0(40,43) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r44_rm4,axiom,( k6_xcmplx_0(40,44) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r45_rm5,axiom,( k6_xcmplx_0(40,45) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r46_rm6,axiom,( k6_xcmplx_0(40,46) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r47_rm7,axiom,( k6_xcmplx_0(40,47) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r48_rm8,axiom,( k6_xcmplx_0(40,48) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r49_rm9,axiom,( k6_xcmplx_0(40,49) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r4_r36,axiom,( k6_xcmplx_0(40,4) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r50_rm10,axiom,( k6_xcmplx_0(40,50) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r51_rm11,axiom,( k6_xcmplx_0(40,51) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r52_rm12,axiom,( k6_xcmplx_0(40,52) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r53_rm13,axiom,( k6_xcmplx_0(40,53) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r54_rm14,axiom,( k6_xcmplx_0(40,54) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r55_rm15,axiom,( k6_xcmplx_0(40,55) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r56_rm16,axiom,( k6_xcmplx_0(40,56) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r57_rm17,axiom,( k6_xcmplx_0(40,57) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r58_rm18,axiom,( k6_xcmplx_0(40,58) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r59_rm19,axiom,( k6_xcmplx_0(40,59) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r5_r35,axiom,( k6_xcmplx_0(40,5) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r60_rm20,axiom,( k6_xcmplx_0(40,60) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r61_rm21,axiom,( k6_xcmplx_0(40,61) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r62_rm22,axiom,( k6_xcmplx_0(40,62) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r63_rm23,axiom,( k6_xcmplx_0(40,63) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r64_rm24,axiom,( k6_xcmplx_0(40,64) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r6_r34,axiom,( k6_xcmplx_0(40,6) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r70_rm30,axiom,( k6_xcmplx_0(40,70) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r40_r7_r33,axiom,( k6_xcmplx_0(40,7) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r8_r32,axiom,( k6_xcmplx_0(40,8) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r40_r9_r31,axiom,( k6_xcmplx_0(40,9) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r108_r306,axiom,( k6_xcmplx_0(414,108) = 306 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r126_r288,axiom,( k6_xcmplx_0(414,126) = 288 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r1_r413,axiom,( k6_xcmplx_0(414,1) = 413 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r21_r393,axiom,( k6_xcmplx_0(414,21) = 393 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r252_r162,axiom,( k6_xcmplx_0(414,252) = 162 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r360_r54,axiom,( k6_xcmplx_0(414,360) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r36_r378,axiom,( k6_xcmplx_0(414,36) = 378 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r414_r0,axiom,( k6_xcmplx_0(414,414) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r4_r410,axiom,( k6_xcmplx_0(414,4) = 410 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r54_r360,axiom,( k6_xcmplx_0(414,54) = 360 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r57_r357,axiom,( k6_xcmplx_0(414,57) = 357 )).
fof(rqRealDiff__k6_xcmplx_0__r414_r5_r409,axiom,( k6_xcmplx_0(414,5) = 409 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r108_r311,axiom,( k6_xcmplx_0(419,108) = 311 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r126_r293,axiom,( k6_xcmplx_0(419,126) = 293 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r18_r401,axiom,( k6_xcmplx_0(419,18) = 401 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r1_r418,axiom,( k6_xcmplx_0(419,1) = 418 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r203_r216,axiom,( k6_xcmplx_0(419,203) = 216 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r216_r203,axiom,( k6_xcmplx_0(419,216) = 203 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r21_r398,axiom,( k6_xcmplx_0(419,21) = 398 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r252_r167,axiom,( k6_xcmplx_0(419,252) = 167 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r36_r383,axiom,( k6_xcmplx_0(419,36) = 383 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r414_r5,axiom,( k6_xcmplx_0(419,414) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r419_r0,axiom,( k6_xcmplx_0(419,419) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r4_r415,axiom,( k6_xcmplx_0(419,4) = 415 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r54_r365,axiom,( k6_xcmplx_0(419,54) = 365 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r57_r362,axiom,( k6_xcmplx_0(419,57) = 362 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r5_r414,axiom,( k6_xcmplx_0(419,5) = 414 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r6_r413,axiom,( k6_xcmplx_0(419,6) = 413 )).
fof(rqRealDiff__k6_xcmplx_0__r419_r72_r347,axiom,( k6_xcmplx_0(419,72) = 347 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r0_r41,axiom,( k6_xcmplx_0(41,0) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r10_r31,axiom,( k6_xcmplx_0(41,10) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r11_r30,axiom,( k6_xcmplx_0(41,11) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r12_r29,axiom,( k6_xcmplx_0(41,12) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r13_r28,axiom,( k6_xcmplx_0(41,13) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r14_r27,axiom,( k6_xcmplx_0(41,14) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r15_r26,axiom,( k6_xcmplx_0(41,15) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r16_r25,axiom,( k6_xcmplx_0(41,16) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r17_r24,axiom,( k6_xcmplx_0(41,17) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r18_r23,axiom,( k6_xcmplx_0(41,18) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r19_r22,axiom,( k6_xcmplx_0(41,19) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r1_r40,axiom,( k6_xcmplx_0(41,1) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r20_r21,axiom,( k6_xcmplx_0(41,20) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r21_r20,axiom,( k6_xcmplx_0(41,21) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r22_r19,axiom,( k6_xcmplx_0(41,22) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r23_r18,axiom,( k6_xcmplx_0(41,23) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r24_r17,axiom,( k6_xcmplx_0(41,24) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r25_r16,axiom,( k6_xcmplx_0(41,25) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r26_r15,axiom,( k6_xcmplx_0(41,26) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r27_r14,axiom,( k6_xcmplx_0(41,27) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r28_r13,axiom,( k6_xcmplx_0(41,28) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r29_r12,axiom,( k6_xcmplx_0(41,29) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r30_r11,axiom,( k6_xcmplx_0(41,30) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r31_r10,axiom,( k6_xcmplx_0(41,31) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r32_r9,axiom,( k6_xcmplx_0(41,32) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r33_r8,axiom,( k6_xcmplx_0(41,33) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r34_r7,axiom,( k6_xcmplx_0(41,34) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r35_r6,axiom,( k6_xcmplx_0(41,35) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r36_r5,axiom,( k6_xcmplx_0(41,36) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r37_r4,axiom,( k6_xcmplx_0(41,37) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r38_r3,axiom,( k6_xcmplx_0(41,38) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r39_r2,axiom,( k6_xcmplx_0(41,39) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r40_r1,axiom,( k6_xcmplx_0(41,40) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r42_rm1,axiom,( k6_xcmplx_0(41,42) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r43_rm2,axiom,( k6_xcmplx_0(41,43) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r44_rm3,axiom,( k6_xcmplx_0(41,44) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r45_rm4,axiom,( k6_xcmplx_0(41,45) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r46_rm5,axiom,( k6_xcmplx_0(41,46) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r47_rm6,axiom,( k6_xcmplx_0(41,47) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r48_rm7,axiom,( k6_xcmplx_0(41,48) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r49_rm8,axiom,( k6_xcmplx_0(41,49) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r4_r37,axiom,( k6_xcmplx_0(41,4) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r50_rm9,axiom,( k6_xcmplx_0(41,50) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r51_rm10,axiom,( k6_xcmplx_0(41,51) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r52_rm11,axiom,( k6_xcmplx_0(41,52) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r53_rm12,axiom,( k6_xcmplx_0(41,53) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r54_rm13,axiom,( k6_xcmplx_0(41,54) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r55_rm14,axiom,( k6_xcmplx_0(41,55) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r56_rm15,axiom,( k6_xcmplx_0(41,56) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r57_rm16,axiom,( k6_xcmplx_0(41,57) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r58_rm17,axiom,( k6_xcmplx_0(41,58) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r59_rm18,axiom,( k6_xcmplx_0(41,59) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r5_r36,axiom,( k6_xcmplx_0(41,5) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r60_rm19,axiom,( k6_xcmplx_0(41,60) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r61_rm20,axiom,( k6_xcmplx_0(41,61) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r62_rm21,axiom,( k6_xcmplx_0(41,62) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r63_rm22,axiom,( k6_xcmplx_0(41,63) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r41_r6_r35,axiom,( k6_xcmplx_0(41,6) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r7_r34,axiom,( k6_xcmplx_0(41,7) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r8_r33,axiom,( k6_xcmplx_0(41,8) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r41_r9_r32,axiom,( k6_xcmplx_0(41,9) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r0_r42,axiom,( k6_xcmplx_0(42,0) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r108_rm66,axiom,( k6_xcmplx_0(42,108) = k4_xcmplx_0(66) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r10_r32,axiom,( k6_xcmplx_0(42,10) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r11_r31,axiom,( k6_xcmplx_0(42,11) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r126_rm84,axiom,( k6_xcmplx_0(42,126) = k4_xcmplx_0(84) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r12_r30,axiom,( k6_xcmplx_0(42,12) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r13_r29,axiom,( k6_xcmplx_0(42,13) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r14_r28,axiom,( k6_xcmplx_0(42,14) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r15_r27,axiom,( k6_xcmplx_0(42,15) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r16_r26,axiom,( k6_xcmplx_0(42,16) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r17_r25,axiom,( k6_xcmplx_0(42,17) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r18_r24,axiom,( k6_xcmplx_0(42,18) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r19_r23,axiom,( k6_xcmplx_0(42,19) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r1_r41,axiom,( k6_xcmplx_0(42,1) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r203_rm161,axiom,( k6_xcmplx_0(42,203) = k4_xcmplx_0(161) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r20_r22,axiom,( k6_xcmplx_0(42,20) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r211_rm169,axiom,( k6_xcmplx_0(42,211) = k4_xcmplx_0(169) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r216_rm174,axiom,( k6_xcmplx_0(42,216) = k4_xcmplx_0(174) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r21_r21,axiom,( k6_xcmplx_0(42,21) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r22_r20,axiom,( k6_xcmplx_0(42,22) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r23_r19,axiom,( k6_xcmplx_0(42,23) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r24_r18,axiom,( k6_xcmplx_0(42,24) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r252_rm210,axiom,( k6_xcmplx_0(42,252) = k4_xcmplx_0(210) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r25_r17,axiom,( k6_xcmplx_0(42,25) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r26_r16,axiom,( k6_xcmplx_0(42,26) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r27_r15,axiom,( k6_xcmplx_0(42,27) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r28_r14,axiom,( k6_xcmplx_0(42,28) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r29_r13,axiom,( k6_xcmplx_0(42,29) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r2_r40,axiom,( k6_xcmplx_0(42,2) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r30_r12,axiom,( k6_xcmplx_0(42,30) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r31_r11,axiom,( k6_xcmplx_0(42,31) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r32_r10,axiom,( k6_xcmplx_0(42,32) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r33_r9,axiom,( k6_xcmplx_0(42,33) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r34_r8,axiom,( k6_xcmplx_0(42,34) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r35_r7,axiom,( k6_xcmplx_0(42,35) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r36_r6,axiom,( k6_xcmplx_0(42,36) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r37_r5,axiom,( k6_xcmplx_0(42,37) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r38_r4,axiom,( k6_xcmplx_0(42,38) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r39_r3,axiom,( k6_xcmplx_0(42,39) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r3_r39,axiom,( k6_xcmplx_0(42,3) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r40_r2,axiom,( k6_xcmplx_0(42,40) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r414_rm372,axiom,( k6_xcmplx_0(42,414) = k4_xcmplx_0(372) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r419_rm377,axiom,( k6_xcmplx_0(42,419) = k4_xcmplx_0(377) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r41_r1,axiom,( k6_xcmplx_0(42,41) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r42_r0,axiom,( k6_xcmplx_0(42,42) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r43_rm1,axiom,( k6_xcmplx_0(42,43) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r44_rm2,axiom,( k6_xcmplx_0(42,44) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r45_rm3,axiom,( k6_xcmplx_0(42,45) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r46_rm4,axiom,( k6_xcmplx_0(42,46) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r47_rm5,axiom,( k6_xcmplx_0(42,47) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r48_rm6,axiom,( k6_xcmplx_0(42,48) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r49_rm7,axiom,( k6_xcmplx_0(42,49) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r4_r38,axiom,( k6_xcmplx_0(42,4) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r50_rm8,axiom,( k6_xcmplx_0(42,50) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r51_rm9,axiom,( k6_xcmplx_0(42,51) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r52_rm10,axiom,( k6_xcmplx_0(42,52) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r53_rm11,axiom,( k6_xcmplx_0(42,53) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r54_rm12,axiom,( k6_xcmplx_0(42,54) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r55_rm13,axiom,( k6_xcmplx_0(42,55) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r56_rm14,axiom,( k6_xcmplx_0(42,56) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r57_rm15,axiom,( k6_xcmplx_0(42,57) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r58_rm16,axiom,( k6_xcmplx_0(42,58) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r59_rm17,axiom,( k6_xcmplx_0(42,59) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r5_r37,axiom,( k6_xcmplx_0(42,5) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r60_rm18,axiom,( k6_xcmplx_0(42,60) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r61_rm19,axiom,( k6_xcmplx_0(42,61) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r62_rm20,axiom,( k6_xcmplx_0(42,62) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r63_rm21,axiom,( k6_xcmplx_0(42,63) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r64_rm22,axiom,( k6_xcmplx_0(42,64) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r6_r36,axiom,( k6_xcmplx_0(42,6) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r72_rm30,axiom,( k6_xcmplx_0(42,72) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r42_r7_r35,axiom,( k6_xcmplx_0(42,7) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r8_r34,axiom,( k6_xcmplx_0(42,8) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r42_r9_r33,axiom,( k6_xcmplx_0(42,9) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r42_rm12_r54,axiom,( k6_xcmplx_0(42,k4_xcmplx_0(12)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r42_rm18_r60,axiom,( k6_xcmplx_0(42,k4_xcmplx_0(18)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r42_rm2_r44,axiom,( k6_xcmplx_0(42,k4_xcmplx_0(2)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r42_rm3_r45,axiom,( k6_xcmplx_0(42,k4_xcmplx_0(3)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r42_rm6_r48,axiom,( k6_xcmplx_0(42,k4_xcmplx_0(6)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r0_r430,axiom,( k6_xcmplx_0(430,0) = 430 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r119_r311,axiom,( k6_xcmplx_0(430,119) = 311 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r128_r302,axiom,( k6_xcmplx_0(430,128) = 302 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r17_r413,axiom,( k6_xcmplx_0(430,17) = 413 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r1_r429,axiom,( k6_xcmplx_0(430,1) = 429 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r256_r174,axiom,( k6_xcmplx_0(430,256) = 174 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r357_r73,axiom,( k6_xcmplx_0(430,357) = 73 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r3_r427,axiom,( k6_xcmplx_0(430,3) = 427 )).
fof(rqRealDiff__k6_xcmplx_0__r430_r641_rm211,axiom,( k6_xcmplx_0(430,641) = k4_xcmplx_0(211) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r0_r43,axiom,( k6_xcmplx_0(43,0) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r1_r42,axiom,( k6_xcmplx_0(43,1) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r20_r23,axiom,( k6_xcmplx_0(43,20) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r21_r22,axiom,( k6_xcmplx_0(43,21) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r22_r21,axiom,( k6_xcmplx_0(43,22) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r23_r20,axiom,( k6_xcmplx_0(43,23) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r24_r19,axiom,( k6_xcmplx_0(43,24) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r27_r16,axiom,( k6_xcmplx_0(43,27) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r28_r15,axiom,( k6_xcmplx_0(43,28) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r29_r14,axiom,( k6_xcmplx_0(43,29) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r2_r41,axiom,( k6_xcmplx_0(43,2) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r30_r13,axiom,( k6_xcmplx_0(43,30) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r31_r12,axiom,( k6_xcmplx_0(43,31) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r32_r11,axiom,( k6_xcmplx_0(43,32) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r35_r8,axiom,( k6_xcmplx_0(43,35) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r36_r7,axiom,( k6_xcmplx_0(43,36) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r37_r6,axiom,( k6_xcmplx_0(43,37) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r38_r5,axiom,( k6_xcmplx_0(43,38) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r39_r4,axiom,( k6_xcmplx_0(43,39) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r40_r3,axiom,( k6_xcmplx_0(43,40) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r43_r44_rm1,axiom,( k6_xcmplx_0(43,44) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r45_rm2,axiom,( k6_xcmplx_0(43,45) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r46_rm3,axiom,( k6_xcmplx_0(43,46) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r47_rm4,axiom,( k6_xcmplx_0(43,47) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r48_rm5,axiom,( k6_xcmplx_0(43,48) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r49_rm6,axiom,( k6_xcmplx_0(43,49) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r50_rm7,axiom,( k6_xcmplx_0(43,50) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r51_rm8,axiom,( k6_xcmplx_0(43,51) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r52_rm9,axiom,( k6_xcmplx_0(43,52) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r53_rm10,axiom,( k6_xcmplx_0(43,53) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r54_rm11,axiom,( k6_xcmplx_0(43,54) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r55_rm12,axiom,( k6_xcmplx_0(43,55) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r56_rm13,axiom,( k6_xcmplx_0(43,56) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r57_rm14,axiom,( k6_xcmplx_0(43,57) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r58_rm15,axiom,( k6_xcmplx_0(43,58) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r59_rm16,axiom,( k6_xcmplx_0(43,59) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r60_rm17,axiom,( k6_xcmplx_0(43,60) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r61_rm18,axiom,( k6_xcmplx_0(43,61) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r62_rm19,axiom,( k6_xcmplx_0(43,62) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r63_rm20,axiom,( k6_xcmplx_0(43,63) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r43_r7_r36,axiom,( k6_xcmplx_0(43,7) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r446_r0_r446,axiom,( k6_xcmplx_0(446,0) = 446 )).
fof(rqRealDiff__k6_xcmplx_0__r446_r128_r318,axiom,( k6_xcmplx_0(446,128) = 318 )).
fof(rqRealDiff__k6_xcmplx_0__r446_r17_r429,axiom,( k6_xcmplx_0(446,17) = 429 )).
fof(rqRealDiff__k6_xcmplx_0__r446_r256_r190,axiom,( k6_xcmplx_0(446,256) = 190 )).
fof(rqRealDiff__k6_xcmplx_0__r446_r3_r443,axiom,( k6_xcmplx_0(446,3) = 443 )).
fof(rqRealDiff__k6_xcmplx_0__r446_r4_r442,axiom,( k6_xcmplx_0(446,4) = 442 )).
fof(rqRealDiff__k6_xcmplx_0__r446_r68_r378,axiom,( k6_xcmplx_0(446,68) = 378 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r0_r44,axiom,( k6_xcmplx_0(44,0) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r12_r32,axiom,( k6_xcmplx_0(44,12) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r13_r31,axiom,( k6_xcmplx_0(44,13) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r14_r30,axiom,( k6_xcmplx_0(44,14) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r15_r29,axiom,( k6_xcmplx_0(44,15) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r16_r28,axiom,( k6_xcmplx_0(44,16) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r17_r27,axiom,( k6_xcmplx_0(44,17) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r19_r25,axiom,( k6_xcmplx_0(44,19) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r1_r43,axiom,( k6_xcmplx_0(44,1) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r20_r24,axiom,( k6_xcmplx_0(44,20) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r21_r23,axiom,( k6_xcmplx_0(44,21) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r22_r22,axiom,( k6_xcmplx_0(44,22) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r23_r21,axiom,( k6_xcmplx_0(44,23) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r24_r20,axiom,( k6_xcmplx_0(44,24) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r25_r19,axiom,( k6_xcmplx_0(44,25) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r27_r17,axiom,( k6_xcmplx_0(44,27) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r28_r16,axiom,( k6_xcmplx_0(44,28) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r29_r15,axiom,( k6_xcmplx_0(44,29) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r2_r42,axiom,( k6_xcmplx_0(44,2) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r30_r14,axiom,( k6_xcmplx_0(44,30) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r31_r13,axiom,( k6_xcmplx_0(44,31) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r32_r12,axiom,( k6_xcmplx_0(44,32) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r33_r11,axiom,( k6_xcmplx_0(44,33) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r35_r9,axiom,( k6_xcmplx_0(44,35) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r36_r8,axiom,( k6_xcmplx_0(44,36) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r37_r7,axiom,( k6_xcmplx_0(44,37) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r38_r6,axiom,( k6_xcmplx_0(44,38) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r39_r5,axiom,( k6_xcmplx_0(44,39) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r3_r41,axiom,( k6_xcmplx_0(44,3) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r40_r4,axiom,( k6_xcmplx_0(44,40) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r41_r3,axiom,( k6_xcmplx_0(44,41) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r42_r2,axiom,( k6_xcmplx_0(44,42) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r43_r1,axiom,( k6_xcmplx_0(44,43) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r44_r45_rm1,axiom,( k6_xcmplx_0(44,45) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r46_rm2,axiom,( k6_xcmplx_0(44,46) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r47_rm3,axiom,( k6_xcmplx_0(44,47) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r48_rm4,axiom,( k6_xcmplx_0(44,48) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r49_rm5,axiom,( k6_xcmplx_0(44,49) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r50_rm6,axiom,( k6_xcmplx_0(44,50) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r51_rm7,axiom,( k6_xcmplx_0(44,51) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r52_rm8,axiom,( k6_xcmplx_0(44,52) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r53_rm9,axiom,( k6_xcmplx_0(44,53) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r54_rm10,axiom,( k6_xcmplx_0(44,54) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r55_rm11,axiom,( k6_xcmplx_0(44,55) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r56_rm12,axiom,( k6_xcmplx_0(44,56) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r57_rm13,axiom,( k6_xcmplx_0(44,57) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r58_rm14,axiom,( k6_xcmplx_0(44,58) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r59_rm15,axiom,( k6_xcmplx_0(44,59) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r60_rm16,axiom,( k6_xcmplx_0(44,60) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r61_rm17,axiom,( k6_xcmplx_0(44,61) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r62_rm18,axiom,( k6_xcmplx_0(44,62) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r63_rm19,axiom,( k6_xcmplx_0(44,63) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r44_r7_r37,axiom,( k6_xcmplx_0(44,7) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r0_r45,axiom,( k6_xcmplx_0(45,0) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r11_r34,axiom,( k6_xcmplx_0(45,11) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r12_r33,axiom,( k6_xcmplx_0(45,12) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r16_r29,axiom,( k6_xcmplx_0(45,16) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r1_r44,axiom,( k6_xcmplx_0(45,1) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r225_rm180,axiom,( k6_xcmplx_0(45,225) = k4_xcmplx_0(180) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r28_r17,axiom,( k6_xcmplx_0(45,28) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r29_r16,axiom,( k6_xcmplx_0(45,29) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r2_r43,axiom,( k6_xcmplx_0(45,2) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r315_rm270,axiom,( k6_xcmplx_0(45,315) = k4_xcmplx_0(270) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r33_r12,axiom,( k6_xcmplx_0(45,33) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r34_r11,axiom,( k6_xcmplx_0(45,34) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r35_r10,axiom,( k6_xcmplx_0(45,35) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r36_r9,axiom,( k6_xcmplx_0(45,36) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r38_r7,axiom,( k6_xcmplx_0(45,38) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r39_r6,axiom,( k6_xcmplx_0(45,39) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r3_r42,axiom,( k6_xcmplx_0(45,3) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r41_r4,axiom,( k6_xcmplx_0(45,41) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r42_r3,axiom,( k6_xcmplx_0(45,42) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r43_r2,axiom,( k6_xcmplx_0(45,43) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r44_r1,axiom,( k6_xcmplx_0(45,44) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r46_rm1,axiom,( k6_xcmplx_0(45,46) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r47_rm2,axiom,( k6_xcmplx_0(45,47) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r48_rm3,axiom,( k6_xcmplx_0(45,48) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r49_rm4,axiom,( k6_xcmplx_0(45,49) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r4_r41,axiom,( k6_xcmplx_0(45,4) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r50_rm5,axiom,( k6_xcmplx_0(45,50) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r51_rm6,axiom,( k6_xcmplx_0(45,51) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r52_rm7,axiom,( k6_xcmplx_0(45,52) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r53_rm8,axiom,( k6_xcmplx_0(45,53) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r54_rm9,axiom,( k6_xcmplx_0(45,54) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r55_rm10,axiom,( k6_xcmplx_0(45,55) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r56_rm11,axiom,( k6_xcmplx_0(45,56) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r57_rm12,axiom,( k6_xcmplx_0(45,57) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r58_rm13,axiom,( k6_xcmplx_0(45,58) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r59_rm14,axiom,( k6_xcmplx_0(45,59) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r5_r40,axiom,( k6_xcmplx_0(45,5) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r60_rm15,axiom,( k6_xcmplx_0(45,60) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r61_rm16,axiom,( k6_xcmplx_0(45,61) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r62_rm17,axiom,( k6_xcmplx_0(45,62) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r63_rm18,axiom,( k6_xcmplx_0(45,63) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r45_r6_r39,axiom,( k6_xcmplx_0(45,6) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r7_r38,axiom,( k6_xcmplx_0(45,7) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r8_r37,axiom,( k6_xcmplx_0(45,8) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r45_r9_r36,axiom,( k6_xcmplx_0(45,9) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r0_r46,axiom,( k6_xcmplx_0(46,0) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r110_rm64,axiom,( k6_xcmplx_0(46,110) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r20_r26,axiom,( k6_xcmplx_0(46,20) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r21_r25,axiom,( k6_xcmplx_0(46,21) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r22_r24,axiom,( k6_xcmplx_0(46,22) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r23_r23,axiom,( k6_xcmplx_0(46,23) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r24_r22,axiom,( k6_xcmplx_0(46,24) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r25_r21,axiom,( k6_xcmplx_0(46,25) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r26_r20,axiom,( k6_xcmplx_0(46,26) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r27_r19,axiom,( k6_xcmplx_0(46,27) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r28_r18,axiom,( k6_xcmplx_0(46,28) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r29_r17,axiom,( k6_xcmplx_0(46,29) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r30_r16,axiom,( k6_xcmplx_0(46,30) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r31_r15,axiom,( k6_xcmplx_0(46,31) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r32_r14,axiom,( k6_xcmplx_0(46,32) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r33_r13,axiom,( k6_xcmplx_0(46,33) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r34_r12,axiom,( k6_xcmplx_0(46,34) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r35_r11,axiom,( k6_xcmplx_0(46,35) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r36_r10,axiom,( k6_xcmplx_0(46,36) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r37_r9,axiom,( k6_xcmplx_0(46,37) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r38_r8,axiom,( k6_xcmplx_0(46,38) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r39_r7,axiom,( k6_xcmplx_0(46,39) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r40_r6,axiom,( k6_xcmplx_0(46,40) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r41_r5,axiom,( k6_xcmplx_0(46,41) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r42_r4,axiom,( k6_xcmplx_0(46,42) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r43_r3,axiom,( k6_xcmplx_0(46,43) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r44_r2,axiom,( k6_xcmplx_0(46,44) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r45_r1,axiom,( k6_xcmplx_0(46,45) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r46_r0,axiom,( k6_xcmplx_0(46,46) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r46_r47_rm1,axiom,( k6_xcmplx_0(46,47) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r48_rm2,axiom,( k6_xcmplx_0(46,48) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r49_rm3,axiom,( k6_xcmplx_0(46,49) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r50_rm4,axiom,( k6_xcmplx_0(46,50) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r51_rm5,axiom,( k6_xcmplx_0(46,51) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r52_rm6,axiom,( k6_xcmplx_0(46,52) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r53_rm7,axiom,( k6_xcmplx_0(46,53) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r54_rm8,axiom,( k6_xcmplx_0(46,54) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r55_rm9,axiom,( k6_xcmplx_0(46,55) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r56_rm10,axiom,( k6_xcmplx_0(46,56) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r57_rm11,axiom,( k6_xcmplx_0(46,57) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r58_rm12,axiom,( k6_xcmplx_0(46,58) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r59_rm13,axiom,( k6_xcmplx_0(46,59) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r60_rm14,axiom,( k6_xcmplx_0(46,60) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r61_rm15,axiom,( k6_xcmplx_0(46,61) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r62_rm16,axiom,( k6_xcmplx_0(46,62) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r46_r63_rm17,axiom,( k6_xcmplx_0(46,63) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r0_r47,axiom,( k6_xcmplx_0(47,0) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r12_r35,axiom,( k6_xcmplx_0(47,12) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r13_r34,axiom,( k6_xcmplx_0(47,13) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r14_r33,axiom,( k6_xcmplx_0(47,14) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r15_r32,axiom,( k6_xcmplx_0(47,15) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r17_r30,axiom,( k6_xcmplx_0(47,17) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r18_r29,axiom,( k6_xcmplx_0(47,18) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r19_r28,axiom,( k6_xcmplx_0(47,19) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r20_r27,axiom,( k6_xcmplx_0(47,20) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r21_r26,axiom,( k6_xcmplx_0(47,21) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r22_r25,axiom,( k6_xcmplx_0(47,22) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r23_r24,axiom,( k6_xcmplx_0(47,23) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r25_r22,axiom,( k6_xcmplx_0(47,25) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r26_r21,axiom,( k6_xcmplx_0(47,26) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r27_r20,axiom,( k6_xcmplx_0(47,27) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r28_r19,axiom,( k6_xcmplx_0(47,28) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r29_r18,axiom,( k6_xcmplx_0(47,29) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r30_r17,axiom,( k6_xcmplx_0(47,30) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r31_r16,axiom,( k6_xcmplx_0(47,31) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r32_r15,axiom,( k6_xcmplx_0(47,32) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r33_r14,axiom,( k6_xcmplx_0(47,33) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r34_r13,axiom,( k6_xcmplx_0(47,34) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r35_r12,axiom,( k6_xcmplx_0(47,35) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r36_r11,axiom,( k6_xcmplx_0(47,36) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r37_r10,axiom,( k6_xcmplx_0(47,37) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r38_r9,axiom,( k6_xcmplx_0(47,38) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r39_r8,axiom,( k6_xcmplx_0(47,39) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r40_r7,axiom,( k6_xcmplx_0(47,40) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r41_r6,axiom,( k6_xcmplx_0(47,41) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r42_r5,axiom,( k6_xcmplx_0(47,42) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r43_r4,axiom,( k6_xcmplx_0(47,43) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r44_r3,axiom,( k6_xcmplx_0(47,44) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r45_r2,axiom,( k6_xcmplx_0(47,45) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r46_r1,axiom,( k6_xcmplx_0(47,46) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r47_r48_rm1,axiom,( k6_xcmplx_0(47,48) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r49_rm2,axiom,( k6_xcmplx_0(47,49) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r50_rm3,axiom,( k6_xcmplx_0(47,50) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r51_rm4,axiom,( k6_xcmplx_0(47,51) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r52_rm5,axiom,( k6_xcmplx_0(47,52) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r53_rm6,axiom,( k6_xcmplx_0(47,53) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r54_rm7,axiom,( k6_xcmplx_0(47,54) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r55_rm8,axiom,( k6_xcmplx_0(47,55) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r56_rm9,axiom,( k6_xcmplx_0(47,56) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r57_rm10,axiom,( k6_xcmplx_0(47,57) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r58_rm11,axiom,( k6_xcmplx_0(47,58) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r59_rm12,axiom,( k6_xcmplx_0(47,59) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r60_rm13,axiom,( k6_xcmplx_0(47,60) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r61_rm14,axiom,( k6_xcmplx_0(47,61) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r62_rm15,axiom,( k6_xcmplx_0(47,62) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r47_r63_rm16,axiom,( k6_xcmplx_0(47,63) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r47_rm16_r63,axiom,( k6_xcmplx_0(47,k4_xcmplx_0(16)) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r480_r384_r96,axiom,( k6_xcmplx_0(480,384) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r0_r48,axiom,( k6_xcmplx_0(48,0) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r10_r38,axiom,( k6_xcmplx_0(48,10) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r11_r37,axiom,( k6_xcmplx_0(48,11) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r12_r36,axiom,( k6_xcmplx_0(48,12) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r13_r35,axiom,( k6_xcmplx_0(48,13) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r14_r34,axiom,( k6_xcmplx_0(48,14) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r15_r33,axiom,( k6_xcmplx_0(48,15) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r16_r32,axiom,( k6_xcmplx_0(48,16) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r17_r31,axiom,( k6_xcmplx_0(48,17) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r18_r30,axiom,( k6_xcmplx_0(48,18) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r192_rm144,axiom,( k6_xcmplx_0(48,192) = k4_xcmplx_0(144) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r19_r29,axiom,( k6_xcmplx_0(48,19) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r1_r47,axiom,( k6_xcmplx_0(48,1) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r20_r28,axiom,( k6_xcmplx_0(48,20) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r21_r27,axiom,( k6_xcmplx_0(48,21) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r22_r26,axiom,( k6_xcmplx_0(48,22) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r23_r25,axiom,( k6_xcmplx_0(48,23) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r24_r24,axiom,( k6_xcmplx_0(48,24) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r25_r23,axiom,( k6_xcmplx_0(48,25) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r26_r22,axiom,( k6_xcmplx_0(48,26) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r27_r21,axiom,( k6_xcmplx_0(48,27) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r28_r20,axiom,( k6_xcmplx_0(48,28) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r29_r19,axiom,( k6_xcmplx_0(48,29) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r2_r46,axiom,( k6_xcmplx_0(48,2) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r30_r18,axiom,( k6_xcmplx_0(48,30) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r31_r17,axiom,( k6_xcmplx_0(48,31) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r32_r16,axiom,( k6_xcmplx_0(48,32) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r33_r15,axiom,( k6_xcmplx_0(48,33) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r34_r14,axiom,( k6_xcmplx_0(48,34) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r35_r13,axiom,( k6_xcmplx_0(48,35) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r36_r12,axiom,( k6_xcmplx_0(48,36) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r37_r11,axiom,( k6_xcmplx_0(48,37) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r38_r10,axiom,( k6_xcmplx_0(48,38) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r39_r9,axiom,( k6_xcmplx_0(48,39) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r3_r45,axiom,( k6_xcmplx_0(48,3) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r40_r8,axiom,( k6_xcmplx_0(48,40) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r41_r7,axiom,( k6_xcmplx_0(48,41) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r42_r6,axiom,( k6_xcmplx_0(48,42) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r43_r5,axiom,( k6_xcmplx_0(48,43) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r44_r4,axiom,( k6_xcmplx_0(48,44) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r45_r3,axiom,( k6_xcmplx_0(48,45) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r46_r2,axiom,( k6_xcmplx_0(48,46) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r47_r1,axiom,( k6_xcmplx_0(48,47) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r48_r0,axiom,( k6_xcmplx_0(48,48) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r49_rm1,axiom,( k6_xcmplx_0(48,49) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r4_r44,axiom,( k6_xcmplx_0(48,4) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r50_rm2,axiom,( k6_xcmplx_0(48,50) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r51_rm3,axiom,( k6_xcmplx_0(48,51) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r52_rm4,axiom,( k6_xcmplx_0(48,52) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r53_rm5,axiom,( k6_xcmplx_0(48,53) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r54_rm6,axiom,( k6_xcmplx_0(48,54) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r55_rm7,axiom,( k6_xcmplx_0(48,55) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r56_rm8,axiom,( k6_xcmplx_0(48,56) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r57_rm9,axiom,( k6_xcmplx_0(48,57) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r58_rm10,axiom,( k6_xcmplx_0(48,58) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r59_rm11,axiom,( k6_xcmplx_0(48,59) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r5_r43,axiom,( k6_xcmplx_0(48,5) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r60_rm12,axiom,( k6_xcmplx_0(48,60) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r61_rm13,axiom,( k6_xcmplx_0(48,61) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r62_rm14,axiom,( k6_xcmplx_0(48,62) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r63_rm15,axiom,( k6_xcmplx_0(48,63) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r64_rm16,axiom,( k6_xcmplx_0(48,64) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r6_r42,axiom,( k6_xcmplx_0(48,6) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r72_rm24,axiom,( k6_xcmplx_0(48,72) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r7_r41,axiom,( k6_xcmplx_0(48,7) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r8_r40,axiom,( k6_xcmplx_0(48,8) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r48_r96_rm48,axiom,( k6_xcmplx_0(48,96) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r48_r9_r39,axiom,( k6_xcmplx_0(48,9) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r48_rm12_r60,axiom,( k6_xcmplx_0(48,k4_xcmplx_0(12)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r48_rm16_r64,axiom,( k6_xcmplx_0(48,k4_xcmplx_0(16)) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r48_rm1_r49,axiom,( k6_xcmplx_0(48,k4_xcmplx_0(1)) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r48_rm36_r84,axiom,( k6_xcmplx_0(48,k4_xcmplx_0(36)) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r48_rm6_r54,axiom,( k6_xcmplx_0(48,k4_xcmplx_0(6)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r48_rm9_r57,axiom,( k6_xcmplx_0(48,k4_xcmplx_0(9)) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__r48_rn1d8_rn383d8,axiom,( k6_xcmplx_0(48,k7_xcmplx_0(1,8)) = k7_xcmplx_0(383,8) )).
fof(rqRealDiff__k6_xcmplx_0__r48_rn7d8_rn377d8,axiom,( k6_xcmplx_0(48,k7_xcmplx_0(7,8)) = k7_xcmplx_0(377,8) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r0_r49,axiom,( k6_xcmplx_0(49,0) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r10_r39,axiom,( k6_xcmplx_0(49,10) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r11_r38,axiom,( k6_xcmplx_0(49,11) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r12_r37,axiom,( k6_xcmplx_0(49,12) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r13_r36,axiom,( k6_xcmplx_0(49,13) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r14_r35,axiom,( k6_xcmplx_0(49,14) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r15_r34,axiom,( k6_xcmplx_0(49,15) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r16_r33,axiom,( k6_xcmplx_0(49,16) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r17_r32,axiom,( k6_xcmplx_0(49,17) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r18_r31,axiom,( k6_xcmplx_0(49,18) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r19_r30,axiom,( k6_xcmplx_0(49,19) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r1_r48,axiom,( k6_xcmplx_0(49,1) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r20_r29,axiom,( k6_xcmplx_0(49,20) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r21_r28,axiom,( k6_xcmplx_0(49,21) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r22_r27,axiom,( k6_xcmplx_0(49,22) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r23_r26,axiom,( k6_xcmplx_0(49,23) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r24_r25,axiom,( k6_xcmplx_0(49,24) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r25_r24,axiom,( k6_xcmplx_0(49,25) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r26_r23,axiom,( k6_xcmplx_0(49,26) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r27_r22,axiom,( k6_xcmplx_0(49,27) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r28_r21,axiom,( k6_xcmplx_0(49,28) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r29_r20,axiom,( k6_xcmplx_0(49,29) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r30_r19,axiom,( k6_xcmplx_0(49,30) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r31_r18,axiom,( k6_xcmplx_0(49,31) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r32_r17,axiom,( k6_xcmplx_0(49,32) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r33_r16,axiom,( k6_xcmplx_0(49,33) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r34_r15,axiom,( k6_xcmplx_0(49,34) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r35_r14,axiom,( k6_xcmplx_0(49,35) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r36_r13,axiom,( k6_xcmplx_0(49,36) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r37_r12,axiom,( k6_xcmplx_0(49,37) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r38_r11,axiom,( k6_xcmplx_0(49,38) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r39_r10,axiom,( k6_xcmplx_0(49,39) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r3_r46,axiom,( k6_xcmplx_0(49,3) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r40_r9,axiom,( k6_xcmplx_0(49,40) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r41_r8,axiom,( k6_xcmplx_0(49,41) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r42_r7,axiom,( k6_xcmplx_0(49,42) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r43_r6,axiom,( k6_xcmplx_0(49,43) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r44_r5,axiom,( k6_xcmplx_0(49,44) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r45_r4,axiom,( k6_xcmplx_0(49,45) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r46_r3,axiom,( k6_xcmplx_0(49,46) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r47_r2,axiom,( k6_xcmplx_0(49,47) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r48_r1,axiom,( k6_xcmplx_0(49,48) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r49_r0,axiom,( k6_xcmplx_0(49,49) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r4_r45,axiom,( k6_xcmplx_0(49,4) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r50_rm1,axiom,( k6_xcmplx_0(49,50) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r51_rm2,axiom,( k6_xcmplx_0(49,51) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r52_rm3,axiom,( k6_xcmplx_0(49,52) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r53_rm4,axiom,( k6_xcmplx_0(49,53) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r54_rm5,axiom,( k6_xcmplx_0(49,54) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r55_rm6,axiom,( k6_xcmplx_0(49,55) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r56_rm7,axiom,( k6_xcmplx_0(49,56) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r57_rm8,axiom,( k6_xcmplx_0(49,57) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r58_rm9,axiom,( k6_xcmplx_0(49,58) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r59_rm10,axiom,( k6_xcmplx_0(49,59) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r5_r44,axiom,( k6_xcmplx_0(49,5) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r60_rm11,axiom,( k6_xcmplx_0(49,60) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r61_rm12,axiom,( k6_xcmplx_0(49,61) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r62_rm13,axiom,( k6_xcmplx_0(49,62) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r63_rm14,axiom,( k6_xcmplx_0(49,63) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r49_r6_r43,axiom,( k6_xcmplx_0(49,6) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r7_r42,axiom,( k6_xcmplx_0(49,7) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r8_r41,axiom,( k6_xcmplx_0(49,8) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r49_r9_r40,axiom,( k6_xcmplx_0(49,9) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r49_rm1_r50,axiom,( k6_xcmplx_0(49,k4_xcmplx_0(1)) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r49_rn1d8_rn391d8,axiom,( k6_xcmplx_0(49,k7_xcmplx_0(1,8)) = k7_xcmplx_0(391,8) )).
fof(rqRealDiff__k6_xcmplx_0__r49_rn7d8_rn385d8,axiom,( k6_xcmplx_0(49,k7_xcmplx_0(7,8)) = k7_xcmplx_0(385,8) )).
fof(rqRealDiff__k6_xcmplx_0__r4_cr1r0_crm1r4,axiom,( k6_xcmplx_0(4,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r0_r4,axiom,( k6_xcmplx_0(4,0) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r4_r10_rm6,axiom,( k6_xcmplx_0(4,10) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r119_rm115,axiom,( k6_xcmplx_0(4,119) = k4_xcmplx_0(115) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r11_rm7,axiom,( k6_xcmplx_0(4,11) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r120_rm116,axiom,( k6_xcmplx_0(4,120) = k4_xcmplx_0(116) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r123_rm119,axiom,( k6_xcmplx_0(4,123) = k4_xcmplx_0(119) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r126_rm122,axiom,( k6_xcmplx_0(4,126) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r128_rm124,axiom,( k6_xcmplx_0(4,128) = k4_xcmplx_0(124) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r12_rm8,axiom,( k6_xcmplx_0(4,12) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r13_rm9,axiom,( k6_xcmplx_0(4,13) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r14_rm10,axiom,( k6_xcmplx_0(4,14) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r15_rm11,axiom,( k6_xcmplx_0(4,15) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r164_rm160,axiom,( k6_xcmplx_0(4,164) = k4_xcmplx_0(160) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r16_rm12,axiom,( k6_xcmplx_0(4,16) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r172_rm168,axiom,( k6_xcmplx_0(4,172) = k4_xcmplx_0(168) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r17_rm13,axiom,( k6_xcmplx_0(4,17) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r18_rm14,axiom,( k6_xcmplx_0(4,18) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r192_rm188,axiom,( k6_xcmplx_0(4,192) = k4_xcmplx_0(188) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r197_rm193,axiom,( k6_xcmplx_0(4,197) = k4_xcmplx_0(193) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r19_rm15,axiom,( k6_xcmplx_0(4,19) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3,axiom,( k6_xcmplx_0(4,1) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r4_r20_rm16,axiom,( k6_xcmplx_0(4,20) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r21_rm17,axiom,( k6_xcmplx_0(4,21) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r22_rm18,axiom,( k6_xcmplx_0(4,22) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r236_rm232,axiom,( k6_xcmplx_0(4,236) = k4_xcmplx_0(232) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r23_rm19,axiom,( k6_xcmplx_0(4,23) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r241_rm237,axiom,( k6_xcmplx_0(4,241) = k4_xcmplx_0(237) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r242_rm238,axiom,( k6_xcmplx_0(4,242) = k4_xcmplx_0(238) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r24_rm20,axiom,( k6_xcmplx_0(4,24) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r255_rm251,axiom,( k6_xcmplx_0(4,255) = k4_xcmplx_0(251) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r256_rm252,axiom,( k6_xcmplx_0(4,256) = k4_xcmplx_0(252) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r257_rm253,axiom,( k6_xcmplx_0(4,257) = k4_xcmplx_0(253) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r25_rm21,axiom,( k6_xcmplx_0(4,25) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r263_rm259,axiom,( k6_xcmplx_0(4,263) = k4_xcmplx_0(259) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r26_rm22,axiom,( k6_xcmplx_0(4,26) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r27_rm23,axiom,( k6_xcmplx_0(4,27) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r289_rm285,axiom,( k6_xcmplx_0(4,289) = k4_xcmplx_0(285) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r28_rm24,axiom,( k6_xcmplx_0(4,28) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r29_rm25,axiom,( k6_xcmplx_0(4,29) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2,axiom,( k6_xcmplx_0(4,2) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r4_r30_rm26,axiom,( k6_xcmplx_0(4,30) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r31_rm27,axiom,( k6_xcmplx_0(4,31) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r325_rm321,axiom,( k6_xcmplx_0(4,325) = k4_xcmplx_0(321) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r32_rm28,axiom,( k6_xcmplx_0(4,32) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r332_rm328,axiom,( k6_xcmplx_0(4,332) = k4_xcmplx_0(328) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r33_rm29,axiom,( k6_xcmplx_0(4,33) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r34_rm30,axiom,( k6_xcmplx_0(4,34) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r35_rm31,axiom,( k6_xcmplx_0(4,35) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r36_rm32,axiom,( k6_xcmplx_0(4,36) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r37_rm33,axiom,( k6_xcmplx_0(4,37) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r38_rm34,axiom,( k6_xcmplx_0(4,38) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r39_rm35,axiom,( k6_xcmplx_0(4,39) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1,axiom,( k6_xcmplx_0(4,3) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r4_r40_rm36,axiom,( k6_xcmplx_0(4,40) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r41_rm37,axiom,( k6_xcmplx_0(4,41) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r42_rm38,axiom,( k6_xcmplx_0(4,42) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r43_rm39,axiom,( k6_xcmplx_0(4,43) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r44_rm40,axiom,( k6_xcmplx_0(4,44) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r45_rm41,axiom,( k6_xcmplx_0(4,45) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r46_rm42,axiom,( k6_xcmplx_0(4,46) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r47_rm43,axiom,( k6_xcmplx_0(4,47) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r48_rm44,axiom,( k6_xcmplx_0(4,48) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r49_rm45,axiom,( k6_xcmplx_0(4,49) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0,axiom,( k6_xcmplx_0(4,4) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r4_r503_rm499,axiom,( k6_xcmplx_0(4,503) = k4_xcmplx_0(499) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r50_rm46,axiom,( k6_xcmplx_0(4,50) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r51_rm47,axiom,( k6_xcmplx_0(4,51) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r52_rm48,axiom,( k6_xcmplx_0(4,52) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r53_rm49,axiom,( k6_xcmplx_0(4,53) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r54_rm50,axiom,( k6_xcmplx_0(4,54) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r55_rm51,axiom,( k6_xcmplx_0(4,55) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r56_rm52,axiom,( k6_xcmplx_0(4,56) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r57_rm53,axiom,( k6_xcmplx_0(4,57) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r58_rm54,axiom,( k6_xcmplx_0(4,58) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r59_rm55,axiom,( k6_xcmplx_0(4,59) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r5_rm1,axiom,( k6_xcmplx_0(4,5) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r60_rm56,axiom,( k6_xcmplx_0(4,60) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r61_rm57,axiom,( k6_xcmplx_0(4,61) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r62_rm58,axiom,( k6_xcmplx_0(4,62) = k4_xcmplx_0(58) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r63_rm59,axiom,( k6_xcmplx_0(4,63) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r64_rm60,axiom,( k6_xcmplx_0(4,64) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r656_rm652,axiom,( k6_xcmplx_0(4,656) = k4_xcmplx_0(652) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r673_rm669,axiom,( k6_xcmplx_0(4,673) = k4_xcmplx_0(669) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r6_rm2,axiom,( k6_xcmplx_0(4,6) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r71_rm67,axiom,( k6_xcmplx_0(4,71) = k4_xcmplx_0(67) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r7_rm3,axiom,( k6_xcmplx_0(4,7) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r809_rm805,axiom,( k6_xcmplx_0(4,809) = k4_xcmplx_0(805) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r81_rm77,axiom,( k6_xcmplx_0(4,81) = k4_xcmplx_0(77) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r84_rm80,axiom,( k6_xcmplx_0(4,84) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r8_rm4,axiom,( k6_xcmplx_0(4,8) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r96_rm92,axiom,( k6_xcmplx_0(4,96) = k4_xcmplx_0(92) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r97_rm93,axiom,( k6_xcmplx_0(4,97) = k4_xcmplx_0(93) )).
fof(rqRealDiff__k6_xcmplx_0__r4_r9_rm5,axiom,( k6_xcmplx_0(4,9) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm10_r14,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(10)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm121_r125,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(121)) = 125 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm12_r16,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(12)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm16_r20,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(16)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm1_r5,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(1)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm20_r24,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(20)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm24_r28,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(24)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm25_r29,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(25)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm27_r31,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(27)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm2_r6,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(2)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm33_r37,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(33)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm34_r38,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(34)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm36_r40,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(36)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm3_r7,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(3)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm45_r49,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(45)) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm46_r50,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(46)) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm48_r52,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(48)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm4_r8,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(4)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm5_r9,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(5)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm6_r10,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(6)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm7_r11,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(7)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm8_r12,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(8)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rm9_r13,axiom,( k6_xcmplx_0(4,k4_xcmplx_0(9)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn11d3_rn1d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(11,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn121d30_rnm1d30,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(121,30)) = k7_xcmplx_0(k4_xcmplx_0(1),30) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn12d5_rn8d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(12,5)) = k7_xcmplx_0(8,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn13d2_rnm5d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn14d3_rnm2d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(14,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn15d2_rnm7d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn16d5_rn4d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(16,5)) = k7_xcmplx_0(4,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn17d4_rnm1d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(17,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d10_rn39d10,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,10)) = k7_xcmplx_0(39,10) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d12_rn47d12,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,12)) = k7_xcmplx_0(47,12) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d16_rn63d16,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,16)) = k7_xcmplx_0(63,16) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d24_rn95d24,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,24)) = k7_xcmplx_0(95,24) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d2_rn7d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d3_rn11d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,3)) = k7_xcmplx_0(11,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d4_rn15d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,4)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d5_rn19d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,5)) = k7_xcmplx_0(19,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d6_rn23d6,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,6)) = k7_xcmplx_0(23,6) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn1d8_rn31d8,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(1,8)) = k7_xcmplx_0(31,8) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn23d6_rn1d6,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(23,6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn243d2_rnm235d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(243,2)) = k7_xcmplx_0(k4_xcmplx_0(235),2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn24d5_rnm4d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(24,5)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn25d16_rn39d16,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(25,16)) = k7_xcmplx_0(39,16) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn25d4_rnm9d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(25,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn25d6_rnm1d6,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(25,6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn29d36_rn115d36,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(29,36)) = k7_xcmplx_0(115,36) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn2d5_rn18d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(2,5)) = k7_xcmplx_0(18,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn35d3_rnm23d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(23),3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn3d2_rn5d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(3,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn3d4_rn13d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(3,4)) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn3d5_rn17d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(3,5)) = k7_xcmplx_0(17,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn3d8_rn29d8,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(3,8)) = k7_xcmplx_0(29,8) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn49d12_rnm1d12,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(49,12)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn4d3_rn8d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(4,3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn4d5_rn16d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(4,5)) = k7_xcmplx_0(16,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn5d2_rn3d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(5,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn5d3_rn7d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(5,3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn5d4_rn11d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(5,4)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn5d8_rn27d8,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(5,8)) = k7_xcmplx_0(27,8) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn7d2_rn1d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(7,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn7d3_rn5d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(7,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn7d4_rn9d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(7,4)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn7d8_rn25d8,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(7,8)) = k7_xcmplx_0(25,8) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn8d3_rn4d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(8,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn8d5_rn12d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(8,5)) = k7_xcmplx_0(12,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn9d16_rn55d16,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(9,16)) = k7_xcmplx_0(55,16) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn9d2_rnm1d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rn9d4_rn7d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(9,4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm11d4_rn27d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(11),4)) = k7_xcmplx_0(27,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm121d5_rn141d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(121),5)) = k7_xcmplx_0(141,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm13d2_rn21d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm15d4_rn31d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(15),4)) = k7_xcmplx_0(31,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm1d27_rn109d27,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(109,27) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm1d2_rn9d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm1d30_rn121d30,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),30)) = k7_xcmplx_0(121,30) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm1d4_rn17d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(17,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm1d5_rn21d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(21,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm2d5_rn22d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(22,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm3d2_rn11d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm3d4_rn19d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(19,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm3d5_rn23d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(23,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm4d3_rn16d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(16,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm4d5_rn24d5,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(24,5) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm5d2_rn13d2,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm5d3_rn17d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(17,3) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm5d4_rn21d4,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(21,4) )).
fof(rqRealDiff__k6_xcmplx_0__r4_rnm7d3_rn19d3,axiom,( k6_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(19,3) )).
fof(rqRealDiff__k6_xcmplx_0__r503_r14_r489,axiom,( k6_xcmplx_0(503,14) = 489 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r164_r339,axiom,( k6_xcmplx_0(503,164) = 339 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r172_r331,axiom,( k6_xcmplx_0(503,172) = 331 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r1_r502,axiom,( k6_xcmplx_0(503,1) = 502 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r241_r262,axiom,( k6_xcmplx_0(503,241) = 262 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r256_r247,axiom,( k6_xcmplx_0(503,256) = 247 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r263_r240,axiom,( k6_xcmplx_0(503,263) = 240 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r2_r501,axiom,( k6_xcmplx_0(503,2) = 501 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r325_r178,axiom,( k6_xcmplx_0(503,325) = 178 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r32_r471,axiom,( k6_xcmplx_0(503,32) = 471 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r332_r171,axiom,( k6_xcmplx_0(503,332) = 171 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r3_r500,axiom,( k6_xcmplx_0(503,3) = 500 )).
fof(rqRealDiff__k6_xcmplx_0__r503_r4_r499,axiom,( k6_xcmplx_0(503,4) = 499 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r0_r50,axiom,( k6_xcmplx_0(50,0) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r10_r40,axiom,( k6_xcmplx_0(50,10) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r11_r39,axiom,( k6_xcmplx_0(50,11) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r12_r38,axiom,( k6_xcmplx_0(50,12) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r13_r37,axiom,( k6_xcmplx_0(50,13) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r14_r36,axiom,( k6_xcmplx_0(50,14) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r15_r35,axiom,( k6_xcmplx_0(50,15) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r16_r34,axiom,( k6_xcmplx_0(50,16) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r17_r33,axiom,( k6_xcmplx_0(50,17) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r18_r32,axiom,( k6_xcmplx_0(50,18) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r19_r31,axiom,( k6_xcmplx_0(50,19) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r1_r49,axiom,( k6_xcmplx_0(50,1) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r20_r30,axiom,( k6_xcmplx_0(50,20) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r21_r29,axiom,( k6_xcmplx_0(50,21) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r22_r28,axiom,( k6_xcmplx_0(50,22) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r23_r27,axiom,( k6_xcmplx_0(50,23) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r24_r26,axiom,( k6_xcmplx_0(50,24) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r25_r25,axiom,( k6_xcmplx_0(50,25) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r26_r24,axiom,( k6_xcmplx_0(50,26) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r27_r23,axiom,( k6_xcmplx_0(50,27) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r28_r22,axiom,( k6_xcmplx_0(50,28) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r29_r21,axiom,( k6_xcmplx_0(50,29) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r2_r48,axiom,( k6_xcmplx_0(50,2) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r30_r20,axiom,( k6_xcmplx_0(50,30) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r31_r19,axiom,( k6_xcmplx_0(50,31) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r32_r18,axiom,( k6_xcmplx_0(50,32) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r33_r17,axiom,( k6_xcmplx_0(50,33) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r34_r16,axiom,( k6_xcmplx_0(50,34) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r35_r15,axiom,( k6_xcmplx_0(50,35) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r36_r14,axiom,( k6_xcmplx_0(50,36) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r37_r13,axiom,( k6_xcmplx_0(50,37) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r38_r12,axiom,( k6_xcmplx_0(50,38) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r39_r11,axiom,( k6_xcmplx_0(50,39) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r3_r47,axiom,( k6_xcmplx_0(50,3) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r40_r10,axiom,( k6_xcmplx_0(50,40) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r41_r9,axiom,( k6_xcmplx_0(50,41) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r42_r8,axiom,( k6_xcmplx_0(50,42) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r43_r7,axiom,( k6_xcmplx_0(50,43) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r44_r6,axiom,( k6_xcmplx_0(50,44) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r45_r5,axiom,( k6_xcmplx_0(50,45) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r46_r4,axiom,( k6_xcmplx_0(50,46) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r47_r3,axiom,( k6_xcmplx_0(50,47) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r48_r2,axiom,( k6_xcmplx_0(50,48) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r49_r1,axiom,( k6_xcmplx_0(50,49) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r4_r46,axiom,( k6_xcmplx_0(50,4) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r51_rm1,axiom,( k6_xcmplx_0(50,51) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r52_rm2,axiom,( k6_xcmplx_0(50,52) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r53_rm3,axiom,( k6_xcmplx_0(50,53) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r54_rm4,axiom,( k6_xcmplx_0(50,54) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r55_rm5,axiom,( k6_xcmplx_0(50,55) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r56_rm6,axiom,( k6_xcmplx_0(50,56) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r57_rm7,axiom,( k6_xcmplx_0(50,57) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r58_rm8,axiom,( k6_xcmplx_0(50,58) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r59_rm9,axiom,( k6_xcmplx_0(50,59) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r5_r45,axiom,( k6_xcmplx_0(50,5) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r60_rm10,axiom,( k6_xcmplx_0(50,60) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r61_rm11,axiom,( k6_xcmplx_0(50,61) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r62_rm12,axiom,( k6_xcmplx_0(50,62) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r63_rm13,axiom,( k6_xcmplx_0(50,63) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r6_r44,axiom,( k6_xcmplx_0(50,6) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r70_rm20,axiom,( k6_xcmplx_0(50,70) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r50_r7_r43,axiom,( k6_xcmplx_0(50,7) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r8_r42,axiom,( k6_xcmplx_0(50,8) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r50_r9_r41,axiom,( k6_xcmplx_0(50,9) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r11_r501,axiom,( k6_xcmplx_0(512,11) = 501 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r1_r511,axiom,( k6_xcmplx_0(512,1) = 511 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r22_r490,axiom,( k6_xcmplx_0(512,22) = 490 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r23_r489,axiom,( k6_xcmplx_0(512,23) = 489 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r256_r256,axiom,( k6_xcmplx_0(512,256) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r2_r510,axiom,( k6_xcmplx_0(512,2) = 510 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r4_r508,axiom,( k6_xcmplx_0(512,4) = 508 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r512_r0,axiom,( k6_xcmplx_0(512,512) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r768_rm256,axiom,( k6_xcmplx_0(512,768) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__r512_r8_r504,axiom,( k6_xcmplx_0(512,8) = 504 )).
fof(rqRealDiff__k6_xcmplx_0__r512_r9_r503,axiom,( k6_xcmplx_0(512,9) = 503 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r0_r51,axiom,( k6_xcmplx_0(51,0) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r19_r32,axiom,( k6_xcmplx_0(51,19) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r20_r31,axiom,( k6_xcmplx_0(51,20) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r21_r30,axiom,( k6_xcmplx_0(51,21) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r22_r29,axiom,( k6_xcmplx_0(51,22) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r23_r28,axiom,( k6_xcmplx_0(51,23) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r24_r27,axiom,( k6_xcmplx_0(51,24) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r27_r24,axiom,( k6_xcmplx_0(51,27) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r28_r23,axiom,( k6_xcmplx_0(51,28) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r29_r22,axiom,( k6_xcmplx_0(51,29) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r30_r21,axiom,( k6_xcmplx_0(51,30) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r31_r20,axiom,( k6_xcmplx_0(51,31) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r32_r19,axiom,( k6_xcmplx_0(51,32) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r34_r17,axiom,( k6_xcmplx_0(51,34) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r35_r16,axiom,( k6_xcmplx_0(51,35) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r36_r15,axiom,( k6_xcmplx_0(51,36) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r37_r14,axiom,( k6_xcmplx_0(51,37) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r38_r13,axiom,( k6_xcmplx_0(51,38) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r39_r12,axiom,( k6_xcmplx_0(51,39) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r40_r11,axiom,( k6_xcmplx_0(51,40) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r42_r9,axiom,( k6_xcmplx_0(51,42) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r43_r8,axiom,( k6_xcmplx_0(51,43) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r44_r7,axiom,( k6_xcmplx_0(51,44) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r45_r6,axiom,( k6_xcmplx_0(51,45) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r46_r5,axiom,( k6_xcmplx_0(51,46) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r47_r4,axiom,( k6_xcmplx_0(51,47) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r48_r3,axiom,( k6_xcmplx_0(51,48) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r49_r2,axiom,( k6_xcmplx_0(51,49) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r50_r1,axiom,( k6_xcmplx_0(51,50) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r51_r52_rm1,axiom,( k6_xcmplx_0(51,52) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r53_rm2,axiom,( k6_xcmplx_0(51,53) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r54_rm3,axiom,( k6_xcmplx_0(51,54) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r55_rm4,axiom,( k6_xcmplx_0(51,55) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r56_rm5,axiom,( k6_xcmplx_0(51,56) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r57_rm6,axiom,( k6_xcmplx_0(51,57) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r58_rm7,axiom,( k6_xcmplx_0(51,58) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r59_rm8,axiom,( k6_xcmplx_0(51,59) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r60_rm9,axiom,( k6_xcmplx_0(51,60) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r61_rm10,axiom,( k6_xcmplx_0(51,61) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r62_rm11,axiom,( k6_xcmplx_0(51,62) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r51_r63_rm12,axiom,( k6_xcmplx_0(51,63) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r0_r52,axiom,( k6_xcmplx_0(52,0) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r11_r41,axiom,( k6_xcmplx_0(52,11) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r128_rm76,axiom,( k6_xcmplx_0(52,128) = k4_xcmplx_0(76) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r12_r40,axiom,( k6_xcmplx_0(52,12) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r13_r39,axiom,( k6_xcmplx_0(52,13) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r14_r38,axiom,( k6_xcmplx_0(52,14) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r15_r37,axiom,( k6_xcmplx_0(52,15) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r16_r36,axiom,( k6_xcmplx_0(52,16) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r17_r35,axiom,( k6_xcmplx_0(52,17) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r19_r33,axiom,( k6_xcmplx_0(52,19) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r1_r51,axiom,( k6_xcmplx_0(52,1) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r20_r32,axiom,( k6_xcmplx_0(52,20) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r21_r31,axiom,( k6_xcmplx_0(52,21) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r22_r30,axiom,( k6_xcmplx_0(52,22) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r23_r29,axiom,( k6_xcmplx_0(52,23) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r24_r28,axiom,( k6_xcmplx_0(52,24) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r256_rm204,axiom,( k6_xcmplx_0(52,256) = k4_xcmplx_0(204) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r25_r27,axiom,( k6_xcmplx_0(52,25) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r27_r25,axiom,( k6_xcmplx_0(52,27) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r289_rm237,axiom,( k6_xcmplx_0(52,289) = k4_xcmplx_0(237) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r28_r24,axiom,( k6_xcmplx_0(52,28) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r29_r23,axiom,( k6_xcmplx_0(52,29) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r2_r50,axiom,( k6_xcmplx_0(52,2) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r30_r22,axiom,( k6_xcmplx_0(52,30) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r31_r21,axiom,( k6_xcmplx_0(52,31) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r32_r20,axiom,( k6_xcmplx_0(52,32) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r33_r19,axiom,( k6_xcmplx_0(52,33) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r34_r18,axiom,( k6_xcmplx_0(52,34) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r35_r17,axiom,( k6_xcmplx_0(52,35) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r36_r16,axiom,( k6_xcmplx_0(52,36) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r37_r15,axiom,( k6_xcmplx_0(52,37) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r38_r14,axiom,( k6_xcmplx_0(52,38) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r39_r13,axiom,( k6_xcmplx_0(52,39) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r3_r49,axiom,( k6_xcmplx_0(52,3) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r40_r12,axiom,( k6_xcmplx_0(52,40) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r41_r11,axiom,( k6_xcmplx_0(52,41) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r42_r10,axiom,( k6_xcmplx_0(52,42) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r43_r9,axiom,( k6_xcmplx_0(52,43) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r44_r8,axiom,( k6_xcmplx_0(52,44) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r45_r7,axiom,( k6_xcmplx_0(52,45) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r46_r6,axiom,( k6_xcmplx_0(52,46) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r47_r5,axiom,( k6_xcmplx_0(52,47) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r48_r4,axiom,( k6_xcmplx_0(52,48) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r49_r3,axiom,( k6_xcmplx_0(52,49) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r4_r48,axiom,( k6_xcmplx_0(52,4) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r50_r2,axiom,( k6_xcmplx_0(52,50) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r51_r1,axiom,( k6_xcmplx_0(52,51) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r52_r0,axiom,( k6_xcmplx_0(52,52) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r52_r53_rm1,axiom,( k6_xcmplx_0(52,53) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r54_rm2,axiom,( k6_xcmplx_0(52,54) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r55_rm3,axiom,( k6_xcmplx_0(52,55) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r56_rm4,axiom,( k6_xcmplx_0(52,56) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r57_rm5,axiom,( k6_xcmplx_0(52,57) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r58_rm6,axiom,( k6_xcmplx_0(52,58) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r59_rm7,axiom,( k6_xcmplx_0(52,59) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r60_rm8,axiom,( k6_xcmplx_0(52,60) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r61_rm9,axiom,( k6_xcmplx_0(52,61) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r62_rm10,axiom,( k6_xcmplx_0(52,62) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r52_r63_rm11,axiom,( k6_xcmplx_0(52,63) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r531_rm110_r641,axiom,( k6_xcmplx_0(531,k4_xcmplx_0(110)) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r0_r53,axiom,( k6_xcmplx_0(53,0) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r33_r20,axiom,( k6_xcmplx_0(53,33) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r34_r19,axiom,( k6_xcmplx_0(53,34) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r35_r18,axiom,( k6_xcmplx_0(53,35) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r36_r17,axiom,( k6_xcmplx_0(53,36) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r41_r12,axiom,( k6_xcmplx_0(53,41) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r42_r11,axiom,( k6_xcmplx_0(53,42) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r43_r10,axiom,( k6_xcmplx_0(53,43) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r44_r9,axiom,( k6_xcmplx_0(53,44) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r46_r7,axiom,( k6_xcmplx_0(53,46) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r48_r5,axiom,( k6_xcmplx_0(53,48) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r49_r4,axiom,( k6_xcmplx_0(53,49) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r50_r3,axiom,( k6_xcmplx_0(53,50) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r51_r2,axiom,( k6_xcmplx_0(53,51) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r52_r1,axiom,( k6_xcmplx_0(53,52) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r53_r54_rm1,axiom,( k6_xcmplx_0(53,54) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r55_rm2,axiom,( k6_xcmplx_0(53,55) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r56_rm3,axiom,( k6_xcmplx_0(53,56) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r57_rm4,axiom,( k6_xcmplx_0(53,57) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r58_rm5,axiom,( k6_xcmplx_0(53,58) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r59_rm6,axiom,( k6_xcmplx_0(53,59) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r60_rm7,axiom,( k6_xcmplx_0(53,60) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r61_rm8,axiom,( k6_xcmplx_0(53,61) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r62_rm9,axiom,( k6_xcmplx_0(53,62) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r53_r63_rm10,axiom,( k6_xcmplx_0(53,63) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r54_cr1r0_crm1r54,axiom,( k6_xcmplx_0(54,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),54) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r0_r54,axiom,( k6_xcmplx_0(54,0) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r108_rm54,axiom,( k6_xcmplx_0(54,108) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r126_rm72,axiom,( k6_xcmplx_0(54,126) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r19_r35,axiom,( k6_xcmplx_0(54,19) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r1_r53,axiom,( k6_xcmplx_0(54,1) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r203_rm149,axiom,( k6_xcmplx_0(54,203) = k4_xcmplx_0(149) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r21_r33,axiom,( k6_xcmplx_0(54,21) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r22_r32,axiom,( k6_xcmplx_0(54,22) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r23_r31,axiom,( k6_xcmplx_0(54,23) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r24_r30,axiom,( k6_xcmplx_0(54,24) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r252_rm198,axiom,( k6_xcmplx_0(54,252) = k4_xcmplx_0(198) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r25_r29,axiom,( k6_xcmplx_0(54,25) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r26_r28,axiom,( k6_xcmplx_0(54,26) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r27_r27,axiom,( k6_xcmplx_0(54,27) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r28_r26,axiom,( k6_xcmplx_0(54,28) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r29_r25,axiom,( k6_xcmplx_0(54,29) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r2_r52,axiom,( k6_xcmplx_0(54,2) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r30_r24,axiom,( k6_xcmplx_0(54,30) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r31_r23,axiom,( k6_xcmplx_0(54,31) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r32_r22,axiom,( k6_xcmplx_0(54,32) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r33_r21,axiom,( k6_xcmplx_0(54,33) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r34_r20,axiom,( k6_xcmplx_0(54,34) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r35_r19,axiom,( k6_xcmplx_0(54,35) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r36_r18,axiom,( k6_xcmplx_0(54,36) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r37_r17,axiom,( k6_xcmplx_0(54,37) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r38_r16,axiom,( k6_xcmplx_0(54,38) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r39_r15,axiom,( k6_xcmplx_0(54,39) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r3_r51,axiom,( k6_xcmplx_0(54,3) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r40_r14,axiom,( k6_xcmplx_0(54,40) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r414_rm360,axiom,( k6_xcmplx_0(54,414) = k4_xcmplx_0(360) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r41_r13,axiom,( k6_xcmplx_0(54,41) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r42_r12,axiom,( k6_xcmplx_0(54,42) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r43_r11,axiom,( k6_xcmplx_0(54,43) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r44_r10,axiom,( k6_xcmplx_0(54,44) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r45_r9,axiom,( k6_xcmplx_0(54,45) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r46_r8,axiom,( k6_xcmplx_0(54,46) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r47_r7,axiom,( k6_xcmplx_0(54,47) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r48_r6,axiom,( k6_xcmplx_0(54,48) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r49_r5,axiom,( k6_xcmplx_0(54,49) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r4_r50,axiom,( k6_xcmplx_0(54,4) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r50_r4,axiom,( k6_xcmplx_0(54,50) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r51_r3,axiom,( k6_xcmplx_0(54,51) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r52_r2,axiom,( k6_xcmplx_0(54,52) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r53_r1,axiom,( k6_xcmplx_0(54,53) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r54_r0,axiom,( k6_xcmplx_0(54,54) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r55_rm1,axiom,( k6_xcmplx_0(54,55) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r56_rm2,axiom,( k6_xcmplx_0(54,56) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r57_rm3,axiom,( k6_xcmplx_0(54,57) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r58_rm4,axiom,( k6_xcmplx_0(54,58) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r59_rm5,axiom,( k6_xcmplx_0(54,59) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r5_r49,axiom,( k6_xcmplx_0(54,5) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r60_rm6,axiom,( k6_xcmplx_0(54,60) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r61_rm7,axiom,( k6_xcmplx_0(54,61) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r62_rm8,axiom,( k6_xcmplx_0(54,62) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r63_rm9,axiom,( k6_xcmplx_0(54,63) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r6_r48,axiom,( k6_xcmplx_0(54,6) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r7_r47,axiom,( k6_xcmplx_0(54,7) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r54_r81_rm27,axiom,( k6_xcmplx_0(54,81) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r54_r9_r45,axiom,( k6_xcmplx_0(54,9) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r54_rm12_r66,axiom,( k6_xcmplx_0(54,k4_xcmplx_0(12)) = 66 )).
fof(rqRealDiff__k6_xcmplx_0__r54_rm27_r81,axiom,( k6_xcmplx_0(54,k4_xcmplx_0(27)) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r54_rn1d2_rn107d2,axiom,( k6_xcmplx_0(54,k7_xcmplx_0(1,2)) = k7_xcmplx_0(107,2) )).
fof(rqRealDiff__k6_xcmplx_0__r54_rn1d4_rn215d4,axiom,( k6_xcmplx_0(54,k7_xcmplx_0(1,4)) = k7_xcmplx_0(215,4) )).
fof(rqRealDiff__k6_xcmplx_0__r54_rn27d4_rn189d4,axiom,( k6_xcmplx_0(54,k7_xcmplx_0(27,4)) = k7_xcmplx_0(189,4) )).
fof(rqRealDiff__k6_xcmplx_0__r54_rnm1d2_rn109d2,axiom,( k6_xcmplx_0(54,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(109,2) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r0_r55,axiom,( k6_xcmplx_0(55,0) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r14_r41,axiom,( k6_xcmplx_0(55,14) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r17_r38,axiom,( k6_xcmplx_0(55,17) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r18_r37,axiom,( k6_xcmplx_0(55,18) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r19_r36,axiom,( k6_xcmplx_0(55,19) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r20_r35,axiom,( k6_xcmplx_0(55,20) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r21_r34,axiom,( k6_xcmplx_0(55,21) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r22_r33,axiom,( k6_xcmplx_0(55,22) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r23_r32,axiom,( k6_xcmplx_0(55,23) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r25_r30,axiom,( k6_xcmplx_0(55,25) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r26_r29,axiom,( k6_xcmplx_0(55,26) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r27_r28,axiom,( k6_xcmplx_0(55,27) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r28_r27,axiom,( k6_xcmplx_0(55,28) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r29_r26,axiom,( k6_xcmplx_0(55,29) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r30_r25,axiom,( k6_xcmplx_0(55,30) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r31_r24,axiom,( k6_xcmplx_0(55,31) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r32_r23,axiom,( k6_xcmplx_0(55,32) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r33_r22,axiom,( k6_xcmplx_0(55,33) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r34_r21,axiom,( k6_xcmplx_0(55,34) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r35_r20,axiom,( k6_xcmplx_0(55,35) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r36_r19,axiom,( k6_xcmplx_0(55,36) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r37_r18,axiom,( k6_xcmplx_0(55,37) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r38_r17,axiom,( k6_xcmplx_0(55,38) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r39_r16,axiom,( k6_xcmplx_0(55,39) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r40_r15,axiom,( k6_xcmplx_0(55,40) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r41_r14,axiom,( k6_xcmplx_0(55,41) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r42_r13,axiom,( k6_xcmplx_0(55,42) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r43_r12,axiom,( k6_xcmplx_0(55,43) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r44_r11,axiom,( k6_xcmplx_0(55,44) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r45_r10,axiom,( k6_xcmplx_0(55,45) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r46_r9,axiom,( k6_xcmplx_0(55,46) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r47_r8,axiom,( k6_xcmplx_0(55,47) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r48_r7,axiom,( k6_xcmplx_0(55,48) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r49_r6,axiom,( k6_xcmplx_0(55,49) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r50_r5,axiom,( k6_xcmplx_0(55,50) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r51_r4,axiom,( k6_xcmplx_0(55,51) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r52_r3,axiom,( k6_xcmplx_0(55,52) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r53_r2,axiom,( k6_xcmplx_0(55,53) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r54_r1,axiom,( k6_xcmplx_0(55,54) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r55_r56_rm1,axiom,( k6_xcmplx_0(55,56) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r57_rm2,axiom,( k6_xcmplx_0(55,57) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r58_rm3,axiom,( k6_xcmplx_0(55,58) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r59_rm4,axiom,( k6_xcmplx_0(55,59) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r60_rm5,axiom,( k6_xcmplx_0(55,60) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r61_rm6,axiom,( k6_xcmplx_0(55,61) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r62_rm7,axiom,( k6_xcmplx_0(55,62) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r55_r63_rm8,axiom,( k6_xcmplx_0(55,63) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r55_rm12_r67,axiom,( k6_xcmplx_0(55,k4_xcmplx_0(12)) = 67 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r0_r56,axiom,( k6_xcmplx_0(56,0) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r10_r46,axiom,( k6_xcmplx_0(56,10) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r11_r45,axiom,( k6_xcmplx_0(56,11) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r12_r44,axiom,( k6_xcmplx_0(56,12) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r13_r43,axiom,( k6_xcmplx_0(56,13) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r14_r42,axiom,( k6_xcmplx_0(56,14) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r15_r41,axiom,( k6_xcmplx_0(56,15) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r16_r40,axiom,( k6_xcmplx_0(56,16) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r17_r39,axiom,( k6_xcmplx_0(56,17) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r18_r38,axiom,( k6_xcmplx_0(56,18) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r19_r37,axiom,( k6_xcmplx_0(56,19) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r20_r36,axiom,( k6_xcmplx_0(56,20) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r21_r35,axiom,( k6_xcmplx_0(56,21) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r22_r34,axiom,( k6_xcmplx_0(56,22) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r23_r33,axiom,( k6_xcmplx_0(56,23) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r24_r32,axiom,( k6_xcmplx_0(56,24) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r25_r31,axiom,( k6_xcmplx_0(56,25) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r26_r30,axiom,( k6_xcmplx_0(56,26) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r27_r29,axiom,( k6_xcmplx_0(56,27) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r28_r28,axiom,( k6_xcmplx_0(56,28) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r29_r27,axiom,( k6_xcmplx_0(56,29) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r2_r54,axiom,( k6_xcmplx_0(56,2) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r30_r26,axiom,( k6_xcmplx_0(56,30) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r31_r25,axiom,( k6_xcmplx_0(56,31) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r32_r24,axiom,( k6_xcmplx_0(56,32) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r33_r23,axiom,( k6_xcmplx_0(56,33) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r34_r22,axiom,( k6_xcmplx_0(56,34) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r35_r21,axiom,( k6_xcmplx_0(56,35) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r36_r20,axiom,( k6_xcmplx_0(56,36) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r37_r19,axiom,( k6_xcmplx_0(56,37) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r38_r18,axiom,( k6_xcmplx_0(56,38) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r39_r17,axiom,( k6_xcmplx_0(56,39) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r3_r53,axiom,( k6_xcmplx_0(56,3) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r40_r16,axiom,( k6_xcmplx_0(56,40) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r41_r15,axiom,( k6_xcmplx_0(56,41) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r42_r14,axiom,( k6_xcmplx_0(56,42) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r43_r13,axiom,( k6_xcmplx_0(56,43) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r44_r12,axiom,( k6_xcmplx_0(56,44) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r45_r11,axiom,( k6_xcmplx_0(56,45) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r46_r10,axiom,( k6_xcmplx_0(56,46) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r47_r9,axiom,( k6_xcmplx_0(56,47) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r48_r8,axiom,( k6_xcmplx_0(56,48) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r49_r7,axiom,( k6_xcmplx_0(56,49) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r4_r52,axiom,( k6_xcmplx_0(56,4) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r50_r6,axiom,( k6_xcmplx_0(56,50) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r51_r5,axiom,( k6_xcmplx_0(56,51) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r52_r4,axiom,( k6_xcmplx_0(56,52) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r53_r3,axiom,( k6_xcmplx_0(56,53) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r54_r2,axiom,( k6_xcmplx_0(56,54) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r55_r1,axiom,( k6_xcmplx_0(56,55) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r56_r0,axiom,( k6_xcmplx_0(56,56) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r57_rm1,axiom,( k6_xcmplx_0(56,57) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r58_rm2,axiom,( k6_xcmplx_0(56,58) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r59_rm3,axiom,( k6_xcmplx_0(56,59) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r5_r51,axiom,( k6_xcmplx_0(56,5) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r60_rm4,axiom,( k6_xcmplx_0(56,60) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r61_rm5,axiom,( k6_xcmplx_0(56,61) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r62_rm6,axiom,( k6_xcmplx_0(56,62) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r63_rm7,axiom,( k6_xcmplx_0(56,63) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r64_rm8,axiom,( k6_xcmplx_0(56,64) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r56_r6_r50,axiom,( k6_xcmplx_0(56,6) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r7_r49,axiom,( k6_xcmplx_0(56,7) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r8_r48,axiom,( k6_xcmplx_0(56,8) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r56_r9_r47,axiom,( k6_xcmplx_0(56,9) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r56_rm3_r59,axiom,( k6_xcmplx_0(56,k4_xcmplx_0(3)) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r576_r384_r192,axiom,( k6_xcmplx_0(576,384) = 192 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r0_r57,axiom,( k6_xcmplx_0(57,0) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r10_r47,axiom,( k6_xcmplx_0(57,10) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r11_r46,axiom,( k6_xcmplx_0(57,11) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r12_r45,axiom,( k6_xcmplx_0(57,12) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r13_r44,axiom,( k6_xcmplx_0(57,13) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r14_r43,axiom,( k6_xcmplx_0(57,14) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r15_r42,axiom,( k6_xcmplx_0(57,15) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r16_r41,axiom,( k6_xcmplx_0(57,16) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r17_r40,axiom,( k6_xcmplx_0(57,17) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r18_r39,axiom,( k6_xcmplx_0(57,18) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r19_r38,axiom,( k6_xcmplx_0(57,19) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r1_r56,axiom,( k6_xcmplx_0(57,1) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r20_r37,axiom,( k6_xcmplx_0(57,20) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r21_r36,axiom,( k6_xcmplx_0(57,21) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r22_r35,axiom,( k6_xcmplx_0(57,22) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r23_r34,axiom,( k6_xcmplx_0(57,23) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r24_r33,axiom,( k6_xcmplx_0(57,24) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r25_r32,axiom,( k6_xcmplx_0(57,25) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r26_r31,axiom,( k6_xcmplx_0(57,26) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r27_r30,axiom,( k6_xcmplx_0(57,27) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r28_r29,axiom,( k6_xcmplx_0(57,28) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r29_r28,axiom,( k6_xcmplx_0(57,29) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r2_r55,axiom,( k6_xcmplx_0(57,2) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r30_r27,axiom,( k6_xcmplx_0(57,30) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r31_r26,axiom,( k6_xcmplx_0(57,31) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r32_r25,axiom,( k6_xcmplx_0(57,32) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r33_r24,axiom,( k6_xcmplx_0(57,33) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r34_r23,axiom,( k6_xcmplx_0(57,34) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r35_r22,axiom,( k6_xcmplx_0(57,35) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r36_r21,axiom,( k6_xcmplx_0(57,36) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r37_r20,axiom,( k6_xcmplx_0(57,37) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r38_r19,axiom,( k6_xcmplx_0(57,38) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r39_r18,axiom,( k6_xcmplx_0(57,39) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r3_r54,axiom,( k6_xcmplx_0(57,3) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r40_r17,axiom,( k6_xcmplx_0(57,40) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r41_r16,axiom,( k6_xcmplx_0(57,41) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r42_r15,axiom,( k6_xcmplx_0(57,42) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r43_r14,axiom,( k6_xcmplx_0(57,43) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r44_r13,axiom,( k6_xcmplx_0(57,44) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r45_r12,axiom,( k6_xcmplx_0(57,45) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r46_r11,axiom,( k6_xcmplx_0(57,46) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r47_r10,axiom,( k6_xcmplx_0(57,47) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r48_r9,axiom,( k6_xcmplx_0(57,48) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r49_r8,axiom,( k6_xcmplx_0(57,49) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r4_r53,axiom,( k6_xcmplx_0(57,4) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r50_r7,axiom,( k6_xcmplx_0(57,50) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r51_r6,axiom,( k6_xcmplx_0(57,51) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r52_r5,axiom,( k6_xcmplx_0(57,52) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r53_r4,axiom,( k6_xcmplx_0(57,53) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r54_r3,axiom,( k6_xcmplx_0(57,54) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r55_r2,axiom,( k6_xcmplx_0(57,55) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r57_r0,axiom,( k6_xcmplx_0(57,57) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r58_rm1,axiom,( k6_xcmplx_0(57,58) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r57_r59_rm2,axiom,( k6_xcmplx_0(57,59) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r57_r5_r52,axiom,( k6_xcmplx_0(57,5) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r60_rm3,axiom,( k6_xcmplx_0(57,60) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r57_r61_rm4,axiom,( k6_xcmplx_0(57,61) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r57_r62_rm5,axiom,( k6_xcmplx_0(57,62) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r57_r63_rm6,axiom,( k6_xcmplx_0(57,63) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r57_r6_r51,axiom,( k6_xcmplx_0(57,6) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r7_r50,axiom,( k6_xcmplx_0(57,7) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r8_r49,axiom,( k6_xcmplx_0(57,8) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r57_r9_r48,axiom,( k6_xcmplx_0(57,9) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r57_rm3_r60,axiom,( k6_xcmplx_0(57,k4_xcmplx_0(3)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r0_r58,axiom,( k6_xcmplx_0(58,0) = 58 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r10_r48,axiom,( k6_xcmplx_0(58,10) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r11_r47,axiom,( k6_xcmplx_0(58,11) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r12_r46,axiom,( k6_xcmplx_0(58,12) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r13_r45,axiom,( k6_xcmplx_0(58,13) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r14_r44,axiom,( k6_xcmplx_0(58,14) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r15_r43,axiom,( k6_xcmplx_0(58,15) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r16_r42,axiom,( k6_xcmplx_0(58,16) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r17_r41,axiom,( k6_xcmplx_0(58,17) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r18_r40,axiom,( k6_xcmplx_0(58,18) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r19_r39,axiom,( k6_xcmplx_0(58,19) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r20_r38,axiom,( k6_xcmplx_0(58,20) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r21_r37,axiom,( k6_xcmplx_0(58,21) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r22_r36,axiom,( k6_xcmplx_0(58,22) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r23_r35,axiom,( k6_xcmplx_0(58,23) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r24_r34,axiom,( k6_xcmplx_0(58,24) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r25_r33,axiom,( k6_xcmplx_0(58,25) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r26_r32,axiom,( k6_xcmplx_0(58,26) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r27_r31,axiom,( k6_xcmplx_0(58,27) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r28_r30,axiom,( k6_xcmplx_0(58,28) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r29_r29,axiom,( k6_xcmplx_0(58,29) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r2_r56,axiom,( k6_xcmplx_0(58,2) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r30_r28,axiom,( k6_xcmplx_0(58,30) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r31_r27,axiom,( k6_xcmplx_0(58,31) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r32_r26,axiom,( k6_xcmplx_0(58,32) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r33_r25,axiom,( k6_xcmplx_0(58,33) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r34_r24,axiom,( k6_xcmplx_0(58,34) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r35_r23,axiom,( k6_xcmplx_0(58,35) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r36_r22,axiom,( k6_xcmplx_0(58,36) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r37_r21,axiom,( k6_xcmplx_0(58,37) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r38_r20,axiom,( k6_xcmplx_0(58,38) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r39_r19,axiom,( k6_xcmplx_0(58,39) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r3_r55,axiom,( k6_xcmplx_0(58,3) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r40_r18,axiom,( k6_xcmplx_0(58,40) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r41_r17,axiom,( k6_xcmplx_0(58,41) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r42_r16,axiom,( k6_xcmplx_0(58,42) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r43_r15,axiom,( k6_xcmplx_0(58,43) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r44_r14,axiom,( k6_xcmplx_0(58,44) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r45_r13,axiom,( k6_xcmplx_0(58,45) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r46_r12,axiom,( k6_xcmplx_0(58,46) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r47_r11,axiom,( k6_xcmplx_0(58,47) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r48_r10,axiom,( k6_xcmplx_0(58,48) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r49_r9,axiom,( k6_xcmplx_0(58,49) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r4_r54,axiom,( k6_xcmplx_0(58,4) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r50_r8,axiom,( k6_xcmplx_0(58,50) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r51_r7,axiom,( k6_xcmplx_0(58,51) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r52_r6,axiom,( k6_xcmplx_0(58,52) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r53_r5,axiom,( k6_xcmplx_0(58,53) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r54_r4,axiom,( k6_xcmplx_0(58,54) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r55_r3,axiom,( k6_xcmplx_0(58,55) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r56_r2,axiom,( k6_xcmplx_0(58,56) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r57_r1,axiom,( k6_xcmplx_0(58,57) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r59_rm1,axiom,( k6_xcmplx_0(58,59) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r58_r5_r53,axiom,( k6_xcmplx_0(58,5) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r60_rm2,axiom,( k6_xcmplx_0(58,60) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r58_r61_rm3,axiom,( k6_xcmplx_0(58,61) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r58_r62_rm4,axiom,( k6_xcmplx_0(58,62) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r58_r63_rm5,axiom,( k6_xcmplx_0(58,63) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r58_r6_r52,axiom,( k6_xcmplx_0(58,6) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r7_r51,axiom,( k6_xcmplx_0(58,7) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r8_r50,axiom,( k6_xcmplx_0(58,8) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r58_r9_r49,axiom,( k6_xcmplx_0(58,9) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r0_r59,axiom,( k6_xcmplx_0(59,0) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r169_rm110,axiom,( k6_xcmplx_0(59,169) = k4_xcmplx_0(110) )).
fof(rqRealDiff__k6_xcmplx_0__r59_r19_r40,axiom,( k6_xcmplx_0(59,19) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r20_r39,axiom,( k6_xcmplx_0(59,20) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r21_r38,axiom,( k6_xcmplx_0(59,21) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r22_r37,axiom,( k6_xcmplx_0(59,22) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r23_r36,axiom,( k6_xcmplx_0(59,23) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r24_r35,axiom,( k6_xcmplx_0(59,24) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r27_r32,axiom,( k6_xcmplx_0(59,27) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r28_r31,axiom,( k6_xcmplx_0(59,28) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r29_r30,axiom,( k6_xcmplx_0(59,29) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r30_r29,axiom,( k6_xcmplx_0(59,30) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r31_r28,axiom,( k6_xcmplx_0(59,31) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r32_r27,axiom,( k6_xcmplx_0(59,32) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r35_r24,axiom,( k6_xcmplx_0(59,35) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r36_r23,axiom,( k6_xcmplx_0(59,36) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r37_r22,axiom,( k6_xcmplx_0(59,37) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r38_r21,axiom,( k6_xcmplx_0(59,38) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r39_r20,axiom,( k6_xcmplx_0(59,39) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r40_r19,axiom,( k6_xcmplx_0(59,40) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r43_r16,axiom,( k6_xcmplx_0(59,43) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r44_r15,axiom,( k6_xcmplx_0(59,44) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r45_r14,axiom,( k6_xcmplx_0(59,45) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r46_r13,axiom,( k6_xcmplx_0(59,46) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r47_r12,axiom,( k6_xcmplx_0(59,47) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r48_r11,axiom,( k6_xcmplx_0(59,48) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r49_r10,axiom,( k6_xcmplx_0(59,49) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r50_r9,axiom,( k6_xcmplx_0(59,50) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r51_r8,axiom,( k6_xcmplx_0(59,51) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r52_r7,axiom,( k6_xcmplx_0(59,52) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r53_r6,axiom,( k6_xcmplx_0(59,53) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r54_r5,axiom,( k6_xcmplx_0(59,54) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r55_r4,axiom,( k6_xcmplx_0(59,55) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r57_r2,axiom,( k6_xcmplx_0(59,57) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r58_r1,axiom,( k6_xcmplx_0(59,58) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r59_r60_rm1,axiom,( k6_xcmplx_0(59,60) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r59_r61_rm2,axiom,( k6_xcmplx_0(59,61) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r59_r62_rm3,axiom,( k6_xcmplx_0(59,62) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r59_r63_rm4,axiom,( k6_xcmplx_0(59,63) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r59_rm2_r61,axiom,( k6_xcmplx_0(59,k4_xcmplx_0(2)) = 61 )).
fof(rqRealDiff__k6_xcmplx_0__r59_rm3_r62,axiom,( k6_xcmplx_0(59,k4_xcmplx_0(3)) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__r5_cr1r0_crm1r5,axiom,( k6_xcmplx_0(5,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r0_r5,axiom,( k6_xcmplx_0(5,0) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r5_r10_rm5,axiom,( k6_xcmplx_0(5,10) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r119_rm114,axiom,( k6_xcmplx_0(5,119) = k4_xcmplx_0(114) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r11_rm6,axiom,( k6_xcmplx_0(5,11) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r128_rm123,axiom,( k6_xcmplx_0(5,128) = k4_xcmplx_0(123) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r12_rm7,axiom,( k6_xcmplx_0(5,12) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r13_rm8,axiom,( k6_xcmplx_0(5,13) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r14_rm9,axiom,( k6_xcmplx_0(5,14) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r15_rm10,axiom,( k6_xcmplx_0(5,15) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r16_rm11,axiom,( k6_xcmplx_0(5,16) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r17_rm12,axiom,( k6_xcmplx_0(5,17) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r18_rm13,axiom,( k6_xcmplx_0(5,18) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r19_rm14,axiom,( k6_xcmplx_0(5,19) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r1_r4,axiom,( k6_xcmplx_0(5,1) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r5_r20_rm15,axiom,( k6_xcmplx_0(5,20) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r21_rm16,axiom,( k6_xcmplx_0(5,21) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r22_rm17,axiom,( k6_xcmplx_0(5,22) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r236_rm231,axiom,( k6_xcmplx_0(5,236) = k4_xcmplx_0(231) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r23_rm18,axiom,( k6_xcmplx_0(5,23) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r242_rm237,axiom,( k6_xcmplx_0(5,242) = k4_xcmplx_0(237) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r24_rm19,axiom,( k6_xcmplx_0(5,24) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r256_rm251,axiom,( k6_xcmplx_0(5,256) = k4_xcmplx_0(251) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r25_rm20,axiom,( k6_xcmplx_0(5,25) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r26_rm21,axiom,( k6_xcmplx_0(5,26) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r27_rm22,axiom,( k6_xcmplx_0(5,27) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r28_rm23,axiom,( k6_xcmplx_0(5,28) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r29_rm24,axiom,( k6_xcmplx_0(5,29) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r2_r3,axiom,( k6_xcmplx_0(5,2) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r5_r30_rm25,axiom,( k6_xcmplx_0(5,30) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r315_rm310,axiom,( k6_xcmplx_0(5,315) = k4_xcmplx_0(310) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r31_rm26,axiom,( k6_xcmplx_0(5,31) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r32_rm27,axiom,( k6_xcmplx_0(5,32) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r33_rm28,axiom,( k6_xcmplx_0(5,33) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r342_rm337,axiom,( k6_xcmplx_0(5,342) = k4_xcmplx_0(337) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r343_rm338,axiom,( k6_xcmplx_0(5,343) = k4_xcmplx_0(338) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r344_rm339,axiom,( k6_xcmplx_0(5,344) = k4_xcmplx_0(339) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r345_rm340,axiom,( k6_xcmplx_0(5,345) = k4_xcmplx_0(340) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r346_rm341,axiom,( k6_xcmplx_0(5,346) = k4_xcmplx_0(341) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r347_rm342,axiom,( k6_xcmplx_0(5,347) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r348_rm343,axiom,( k6_xcmplx_0(5,348) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r349_rm344,axiom,( k6_xcmplx_0(5,349) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r34_rm29,axiom,( k6_xcmplx_0(5,34) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r350_rm345,axiom,( k6_xcmplx_0(5,350) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r351_rm346,axiom,( k6_xcmplx_0(5,351) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r352_rm347,axiom,( k6_xcmplx_0(5,352) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r353_rm348,axiom,( k6_xcmplx_0(5,353) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r354_rm349,axiom,( k6_xcmplx_0(5,354) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r355_rm350,axiom,( k6_xcmplx_0(5,355) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r356_rm351,axiom,( k6_xcmplx_0(5,356) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r357_rm352,axiom,( k6_xcmplx_0(5,357) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r358_rm353,axiom,( k6_xcmplx_0(5,358) = k4_xcmplx_0(353) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r359_rm354,axiom,( k6_xcmplx_0(5,359) = k4_xcmplx_0(354) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r35_rm30,axiom,( k6_xcmplx_0(5,35) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r360_rm355,axiom,( k6_xcmplx_0(5,360) = k4_xcmplx_0(355) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r361_rm356,axiom,( k6_xcmplx_0(5,361) = k4_xcmplx_0(356) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r362_rm357,axiom,( k6_xcmplx_0(5,362) = k4_xcmplx_0(357) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r363_rm358,axiom,( k6_xcmplx_0(5,363) = k4_xcmplx_0(358) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r364_rm359,axiom,( k6_xcmplx_0(5,364) = k4_xcmplx_0(359) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r36_rm31,axiom,( k6_xcmplx_0(5,36) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r37_rm32,axiom,( k6_xcmplx_0(5,37) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r38_rm33,axiom,( k6_xcmplx_0(5,38) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r39_rm34,axiom,( k6_xcmplx_0(5,39) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r3_r2,axiom,( k6_xcmplx_0(5,3) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r5_r40_rm35,axiom,( k6_xcmplx_0(5,40) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r41_rm36,axiom,( k6_xcmplx_0(5,41) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r42_rm37,axiom,( k6_xcmplx_0(5,42) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r43_rm38,axiom,( k6_xcmplx_0(5,43) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r44_rm39,axiom,( k6_xcmplx_0(5,44) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r45_rm40,axiom,( k6_xcmplx_0(5,45) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r46_rm41,axiom,( k6_xcmplx_0(5,46) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r47_rm42,axiom,( k6_xcmplx_0(5,47) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r48_rm43,axiom,( k6_xcmplx_0(5,48) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r49_rm44,axiom,( k6_xcmplx_0(5,49) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r4_r1,axiom,( k6_xcmplx_0(5,4) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r5_r50_rm45,axiom,( k6_xcmplx_0(5,50) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r51_rm46,axiom,( k6_xcmplx_0(5,51) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r52_rm47,axiom,( k6_xcmplx_0(5,52) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r53_rm48,axiom,( k6_xcmplx_0(5,53) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r54_rm49,axiom,( k6_xcmplx_0(5,54) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r55_rm50,axiom,( k6_xcmplx_0(5,55) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r56_rm51,axiom,( k6_xcmplx_0(5,56) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r57_rm52,axiom,( k6_xcmplx_0(5,57) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r58_rm53,axiom,( k6_xcmplx_0(5,58) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r59_rm54,axiom,( k6_xcmplx_0(5,59) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r5_r0,axiom,( k6_xcmplx_0(5,5) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r5_r60_rm55,axiom,( k6_xcmplx_0(5,60) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r61_rm56,axiom,( k6_xcmplx_0(5,61) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r62_rm57,axiom,( k6_xcmplx_0(5,62) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r63_rm58,axiom,( k6_xcmplx_0(5,63) = k4_xcmplx_0(58) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r640_rm635,axiom,( k6_xcmplx_0(5,640) = k4_xcmplx_0(635) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r64_rm59,axiom,( k6_xcmplx_0(5,64) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r6_rm1,axiom,( k6_xcmplx_0(5,6) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r70_rm65,axiom,( k6_xcmplx_0(5,70) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r720_rm715,axiom,( k6_xcmplx_0(5,720) = k4_xcmplx_0(715) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r7_rm2,axiom,( k6_xcmplx_0(5,7) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r8_rm3,axiom,( k6_xcmplx_0(5,8) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r5_r9_rm4,axiom,( k6_xcmplx_0(5,9) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm10_r15,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(10)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm18_r23,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(18)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm1_r6,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(1)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm2_r7,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(2)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm36_r41,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(36)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm3_r8,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(3)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm4_r9,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(4)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm5_r10,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(5)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm6_r11,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(6)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm7_r12,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(7)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rm8_r13,axiom,( k6_xcmplx_0(5,k4_xcmplx_0(8)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn10d3_rn5d3,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(10,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn11d2_rnm1d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(11,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn13d2_rnm3d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn14d3_rn1d3,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(14,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn15d2_rnm5d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn1d10_rn49d10,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(1,10)) = k7_xcmplx_0(49,10) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn1d2_rn9d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(1,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn1d36_rn179d36,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(1,36)) = k7_xcmplx_0(179,36) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn1d4_rn19d4,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(1,4)) = k7_xcmplx_0(19,4) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn1d5_rn24d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(1,5)) = k7_xcmplx_0(24,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn1d6_rn29d6,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(1,6)) = k7_xcmplx_0(29,6) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn1d8_rn39d8,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(1,8)) = k7_xcmplx_0(39,8) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn24d5_rn1d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(24,5)) = k7_xcmplx_0(1,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn2d5_rn23d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(2,5)) = k7_xcmplx_0(23,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn36d5_rnm11d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(36,5)) = k7_xcmplx_0(k4_xcmplx_0(11),5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn3d2_rn7d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(3,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn3d4_rn17d4,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(3,4)) = k7_xcmplx_0(17,4) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn3d5_rn22d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(3,5)) = k7_xcmplx_0(22,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn4d3_rn11d3,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(4,3)) = k7_xcmplx_0(11,3) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn4d5_rn21d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(4,5)) = k7_xcmplx_0(21,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn5d16_rn75d16,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(5,16)) = k7_xcmplx_0(75,16) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn5d2_rn5d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(5,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn5d3_rn10d3,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(5,3)) = k7_xcmplx_0(10,3) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn5d4_rn15d4,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(5,4)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn5d8_rn35d8,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(5,8)) = k7_xcmplx_0(35,8) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn7d2_rn3d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(7,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn8d3_rn7d3,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(8,3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rn9d2_rn1d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(9,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm11d2_rn21d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(11),2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm1d10_rn51d10,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(51,10) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm1d2_rn11d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm1d4_rn21d4,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(21,4) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm1d5_rn26d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(26,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm25d36_rn205d36,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(205,36) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm2d5_rn27d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(27,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm3d2_rn13d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm3d4_rn23d4,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm3d5_rn28d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(28,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm4d5_rn29d5,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(29,5) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm59d60_rn359d60,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(59),60)) = k7_xcmplx_0(359,60) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm5d2_rn15d2,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm5d3_rn20d3,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(20,3) )).
fof(rqRealDiff__k6_xcmplx_0__r5_rnm5d4_rn25d4,axiom,( k6_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(25,4) )).
fof(rqRealDiff__k6_xcmplx_0__r60_r0_r60,axiom,( k6_xcmplx_0(60,0) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r10_r50,axiom,( k6_xcmplx_0(60,10) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r11_r49,axiom,( k6_xcmplx_0(60,11) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r12_r48,axiom,( k6_xcmplx_0(60,12) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r13_r47,axiom,( k6_xcmplx_0(60,13) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r14_r46,axiom,( k6_xcmplx_0(60,14) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r15_r45,axiom,( k6_xcmplx_0(60,15) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r16_r44,axiom,( k6_xcmplx_0(60,16) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r17_r43,axiom,( k6_xcmplx_0(60,17) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r19_r41,axiom,( k6_xcmplx_0(60,19) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r1_r59,axiom,( k6_xcmplx_0(60,1) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r20_r40,axiom,( k6_xcmplx_0(60,20) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r21_r39,axiom,( k6_xcmplx_0(60,21) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r22_r38,axiom,( k6_xcmplx_0(60,22) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r23_r37,axiom,( k6_xcmplx_0(60,23) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r24_r36,axiom,( k6_xcmplx_0(60,24) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r25_r35,axiom,( k6_xcmplx_0(60,25) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r27_r33,axiom,( k6_xcmplx_0(60,27) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r28_r32,axiom,( k6_xcmplx_0(60,28) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r29_r31,axiom,( k6_xcmplx_0(60,29) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r2_r58,axiom,( k6_xcmplx_0(60,2) = 58 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r30_r30,axiom,( k6_xcmplx_0(60,30) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r31_r29,axiom,( k6_xcmplx_0(60,31) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r32_r28,axiom,( k6_xcmplx_0(60,32) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r33_r27,axiom,( k6_xcmplx_0(60,33) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r35_r25,axiom,( k6_xcmplx_0(60,35) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r36_r24,axiom,( k6_xcmplx_0(60,36) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r37_r23,axiom,( k6_xcmplx_0(60,37) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r38_r22,axiom,( k6_xcmplx_0(60,38) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r39_r21,axiom,( k6_xcmplx_0(60,39) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r3_r57,axiom,( k6_xcmplx_0(60,3) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r40_r20,axiom,( k6_xcmplx_0(60,40) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r41_r19,axiom,( k6_xcmplx_0(60,41) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r42_r18,axiom,( k6_xcmplx_0(60,42) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r43_r17,axiom,( k6_xcmplx_0(60,43) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r44_r16,axiom,( k6_xcmplx_0(60,44) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r45_r15,axiom,( k6_xcmplx_0(60,45) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r46_r14,axiom,( k6_xcmplx_0(60,46) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r47_r13,axiom,( k6_xcmplx_0(60,47) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r48_r12,axiom,( k6_xcmplx_0(60,48) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r49_r11,axiom,( k6_xcmplx_0(60,49) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r50_r10,axiom,( k6_xcmplx_0(60,50) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r51_r9,axiom,( k6_xcmplx_0(60,51) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r52_r8,axiom,( k6_xcmplx_0(60,52) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r53_r7,axiom,( k6_xcmplx_0(60,53) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r54_r6,axiom,( k6_xcmplx_0(60,54) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r55_r5,axiom,( k6_xcmplx_0(60,55) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r56_r4,axiom,( k6_xcmplx_0(60,56) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r57_r3,axiom,( k6_xcmplx_0(60,57) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r58_r2,axiom,( k6_xcmplx_0(60,58) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r59_r1,axiom,( k6_xcmplx_0(60,59) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r60_r61_rm1,axiom,( k6_xcmplx_0(60,61) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r60_r62_rm2,axiom,( k6_xcmplx_0(60,62) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r60_r63_rm3,axiom,( k6_xcmplx_0(60,63) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r60_r70_rm10,axiom,( k6_xcmplx_0(60,70) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r60_rm2_r62,axiom,( k6_xcmplx_0(60,k4_xcmplx_0(2)) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__r60_rm3_r63,axiom,( k6_xcmplx_0(60,k4_xcmplx_0(3)) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r0_r61,axiom,( k6_xcmplx_0(61,0) = 61 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r33_r28,axiom,( k6_xcmplx_0(61,33) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r34_r27,axiom,( k6_xcmplx_0(61,34) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r35_r26,axiom,( k6_xcmplx_0(61,35) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r36_r25,axiom,( k6_xcmplx_0(61,36) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r41_r20,axiom,( k6_xcmplx_0(61,41) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r42_r19,axiom,( k6_xcmplx_0(61,42) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r43_r18,axiom,( k6_xcmplx_0(61,43) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r44_r17,axiom,( k6_xcmplx_0(61,44) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r48_r13,axiom,( k6_xcmplx_0(61,48) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r49_r12,axiom,( k6_xcmplx_0(61,49) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r50_r11,axiom,( k6_xcmplx_0(61,50) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r51_r10,axiom,( k6_xcmplx_0(61,51) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r52_r9,axiom,( k6_xcmplx_0(61,52) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r53_r8,axiom,( k6_xcmplx_0(61,53) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r55_r6,axiom,( k6_xcmplx_0(61,55) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r57_r4,axiom,( k6_xcmplx_0(61,57) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r58_r3,axiom,( k6_xcmplx_0(61,58) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r59_r2,axiom,( k6_xcmplx_0(61,59) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r60_r1,axiom,( k6_xcmplx_0(61,60) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r61_r0,axiom,( k6_xcmplx_0(61,61) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r61_r62_rm1,axiom,( k6_xcmplx_0(61,62) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r61_r63_rm2,axiom,( k6_xcmplx_0(61,63) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r61_rm2_r63,axiom,( k6_xcmplx_0(61,k4_xcmplx_0(2)) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r628_rm13_r641,axiom,( k6_xcmplx_0(628,k4_xcmplx_0(13)) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r0_r62,axiom,( k6_xcmplx_0(62,0) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r19_r43,axiom,( k6_xcmplx_0(62,19) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r21_r41,axiom,( k6_xcmplx_0(62,21) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r22_r40,axiom,( k6_xcmplx_0(62,22) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r23_r39,axiom,( k6_xcmplx_0(62,23) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r24_r38,axiom,( k6_xcmplx_0(62,24) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r25_r37,axiom,( k6_xcmplx_0(62,25) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r26_r36,axiom,( k6_xcmplx_0(62,26) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r27_r35,axiom,( k6_xcmplx_0(62,27) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r28_r34,axiom,( k6_xcmplx_0(62,28) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r29_r33,axiom,( k6_xcmplx_0(62,29) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r30_r32,axiom,( k6_xcmplx_0(62,30) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r31_r31,axiom,( k6_xcmplx_0(62,31) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r32_r30,axiom,( k6_xcmplx_0(62,32) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r33_r29,axiom,( k6_xcmplx_0(62,33) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r34_r28,axiom,( k6_xcmplx_0(62,34) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r35_r27,axiom,( k6_xcmplx_0(62,35) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r36_r26,axiom,( k6_xcmplx_0(62,36) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r37_r25,axiom,( k6_xcmplx_0(62,37) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r38_r24,axiom,( k6_xcmplx_0(62,38) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r39_r23,axiom,( k6_xcmplx_0(62,39) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r40_r22,axiom,( k6_xcmplx_0(62,40) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r41_r21,axiom,( k6_xcmplx_0(62,41) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r42_r20,axiom,( k6_xcmplx_0(62,42) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r43_r19,axiom,( k6_xcmplx_0(62,43) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r44_r18,axiom,( k6_xcmplx_0(62,44) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r45_r17,axiom,( k6_xcmplx_0(62,45) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r46_r16,axiom,( k6_xcmplx_0(62,46) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r47_r15,axiom,( k6_xcmplx_0(62,47) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r48_r14,axiom,( k6_xcmplx_0(62,48) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r49_r13,axiom,( k6_xcmplx_0(62,49) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r50_r12,axiom,( k6_xcmplx_0(62,50) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r51_r11,axiom,( k6_xcmplx_0(62,51) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r52_r10,axiom,( k6_xcmplx_0(62,52) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r53_r9,axiom,( k6_xcmplx_0(62,53) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r54_r8,axiom,( k6_xcmplx_0(62,54) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r55_r7,axiom,( k6_xcmplx_0(62,55) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r56_r6,axiom,( k6_xcmplx_0(62,56) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r57_r5,axiom,( k6_xcmplx_0(62,57) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r58_r4,axiom,( k6_xcmplx_0(62,58) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r59_r3,axiom,( k6_xcmplx_0(62,59) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r60_r2,axiom,( k6_xcmplx_0(62,60) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r61_r1,axiom,( k6_xcmplx_0(62,61) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r62_r0,axiom,( k6_xcmplx_0(62,62) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r62_r63_rm1,axiom,( k6_xcmplx_0(62,63) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r63_r0_r63,axiom,( k6_xcmplx_0(63,0) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r10_r53,axiom,( k6_xcmplx_0(63,10) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r111_rm48,axiom,( k6_xcmplx_0(63,111) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r63_r112_rm49,axiom,( k6_xcmplx_0(63,112) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r63_r11_r52,axiom,( k6_xcmplx_0(63,11) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r12_r51,axiom,( k6_xcmplx_0(63,12) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r13_r50,axiom,( k6_xcmplx_0(63,13) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r14_r49,axiom,( k6_xcmplx_0(63,14) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r15_r48,axiom,( k6_xcmplx_0(63,15) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r16_r47,axiom,( k6_xcmplx_0(63,16) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r17_r46,axiom,( k6_xcmplx_0(63,17) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r18_r45,axiom,( k6_xcmplx_0(63,18) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r19_r44,axiom,( k6_xcmplx_0(63,19) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r1_r62,axiom,( k6_xcmplx_0(63,1) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r20_r43,axiom,( k6_xcmplx_0(63,20) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r21_r42,axiom,( k6_xcmplx_0(63,21) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r22_r41,axiom,( k6_xcmplx_0(63,22) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r23_r40,axiom,( k6_xcmplx_0(63,23) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r24_r39,axiom,( k6_xcmplx_0(63,24) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r256_rm193,axiom,( k6_xcmplx_0(63,256) = k4_xcmplx_0(193) )).
fof(rqRealDiff__k6_xcmplx_0__r63_r25_r38,axiom,( k6_xcmplx_0(63,25) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r26_r37,axiom,( k6_xcmplx_0(63,26) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r27_r36,axiom,( k6_xcmplx_0(63,27) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r28_r35,axiom,( k6_xcmplx_0(63,28) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r29_r34,axiom,( k6_xcmplx_0(63,29) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r2_r61,axiom,( k6_xcmplx_0(63,2) = 61 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r30_r33,axiom,( k6_xcmplx_0(63,30) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r31_r32,axiom,( k6_xcmplx_0(63,31) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r32_r31,axiom,( k6_xcmplx_0(63,32) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r33_r30,axiom,( k6_xcmplx_0(63,33) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r34_r29,axiom,( k6_xcmplx_0(63,34) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r35_r28,axiom,( k6_xcmplx_0(63,35) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r36_r27,axiom,( k6_xcmplx_0(63,36) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r37_r26,axiom,( k6_xcmplx_0(63,37) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r38_r25,axiom,( k6_xcmplx_0(63,38) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r39_r24,axiom,( k6_xcmplx_0(63,39) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r3_r60,axiom,( k6_xcmplx_0(63,3) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r40_r23,axiom,( k6_xcmplx_0(63,40) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r41_r22,axiom,( k6_xcmplx_0(63,41) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r42_r21,axiom,( k6_xcmplx_0(63,42) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r43_r20,axiom,( k6_xcmplx_0(63,43) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r44_r19,axiom,( k6_xcmplx_0(63,44) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r45_r18,axiom,( k6_xcmplx_0(63,45) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r46_r17,axiom,( k6_xcmplx_0(63,46) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r47_r16,axiom,( k6_xcmplx_0(63,47) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r48_r15,axiom,( k6_xcmplx_0(63,48) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r49_r14,axiom,( k6_xcmplx_0(63,49) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r4_r59,axiom,( k6_xcmplx_0(63,4) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r50_r13,axiom,( k6_xcmplx_0(63,50) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r51_r12,axiom,( k6_xcmplx_0(63,51) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r52_r11,axiom,( k6_xcmplx_0(63,52) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r53_r10,axiom,( k6_xcmplx_0(63,53) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r54_r9,axiom,( k6_xcmplx_0(63,54) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r55_r8,axiom,( k6_xcmplx_0(63,55) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r56_r7,axiom,( k6_xcmplx_0(63,56) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r57_r6,axiom,( k6_xcmplx_0(63,57) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r58_r5,axiom,( k6_xcmplx_0(63,58) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r59_r4,axiom,( k6_xcmplx_0(63,59) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r5_r58,axiom,( k6_xcmplx_0(63,5) = 58 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r60_r3,axiom,( k6_xcmplx_0(63,60) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r61_r2,axiom,( k6_xcmplx_0(63,61) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r62_r1,axiom,( k6_xcmplx_0(63,62) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r63_r0,axiom,( k6_xcmplx_0(63,63) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r64_rm1,axiom,( k6_xcmplx_0(63,64) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r63_r6_r57,axiom,( k6_xcmplx_0(63,6) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r7_r56,axiom,( k6_xcmplx_0(63,7) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r84_rm21,axiom,( k6_xcmplx_0(63,84) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r63_r8_r55,axiom,( k6_xcmplx_0(63,8) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r63_r9_r54,axiom,( k6_xcmplx_0(63,9) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm1_r64,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(1)) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm27_r90,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(27)) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm2_r65,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(2)) = 65 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm36_r99,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(36)) = 99 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm3_r66,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(3)) = 66 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm48_r111,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(48)) = 111 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm64_r127,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(64)) = 127 )).
fof(rqRealDiff__k6_xcmplx_0__r63_rm84_r147,axiom,( k6_xcmplx_0(63,k4_xcmplx_0(84)) = 147 )).
fof(rqRealDiff__k6_xcmplx_0__r640_r1_r639,axiom,( k6_xcmplx_0(640,1) = 639 )).
fof(rqRealDiff__k6_xcmplx_0__r640_r2_r638,axiom,( k6_xcmplx_0(640,2) = 638 )).
fof(rqRealDiff__k6_xcmplx_0__r640_r3_r637,axiom,( k6_xcmplx_0(640,3) = 637 )).
fof(rqRealDiff__k6_xcmplx_0__r640_r640_r0,axiom,( k6_xcmplx_0(640,640) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r640_r641_rm1,axiom,( k6_xcmplx_0(640,641) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r640_rm1_r641,axiom,( k6_xcmplx_0(640,k4_xcmplx_0(1)) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r640_rm29_r669,axiom,( k6_xcmplx_0(640,k4_xcmplx_0(29)) = 669 )).
fof(rqRealDiff__k6_xcmplx_0__r640_rm30_r670,axiom,( k6_xcmplx_0(640,k4_xcmplx_0(30)) = 670 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r0_r641,axiom,( k6_xcmplx_0(641,0) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r10_r631,axiom,( k6_xcmplx_0(641,10) = 631 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r110_r531,axiom,( k6_xcmplx_0(641,110) = 531 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r119_r522,axiom,( k6_xcmplx_0(641,119) = 522 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r128_r513,axiom,( k6_xcmplx_0(641,128) = 513 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r12_r629,axiom,( k6_xcmplx_0(641,12) = 629 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r13_r628,axiom,( k6_xcmplx_0(641,13) = 628 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r14_r627,axiom,( k6_xcmplx_0(641,14) = 627 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r151_r490,axiom,( k6_xcmplx_0(641,151) = 490 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r169_r472,axiom,( k6_xcmplx_0(641,169) = 472 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r16_r625,axiom,( k6_xcmplx_0(641,16) = 625 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r17_r624,axiom,( k6_xcmplx_0(641,17) = 624 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r183_r458,axiom,( k6_xcmplx_0(641,183) = 458 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r1_r640,axiom,( k6_xcmplx_0(641,1) = 640 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r256_r385,axiom,( k6_xcmplx_0(641,256) = 385 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r25_r616,axiom,( k6_xcmplx_0(641,25) = 616 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r26_r615,axiom,( k6_xcmplx_0(641,26) = 615 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r28_r613,axiom,( k6_xcmplx_0(641,28) = 613 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r2_r639,axiom,( k6_xcmplx_0(641,2) = 639 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r320_r321,axiom,( k6_xcmplx_0(641,320) = 321 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r32_r609,axiom,( k6_xcmplx_0(641,32) = 609 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r357_r284,axiom,( k6_xcmplx_0(641,357) = 284 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r35_r606,axiom,( k6_xcmplx_0(641,35) = 606 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r366_r275,axiom,( k6_xcmplx_0(641,366) = 275 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r3_r638,axiom,( k6_xcmplx_0(641,3) = 638 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r430_r211,axiom,( k6_xcmplx_0(641,430) = 211 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r446_r195,axiom,( k6_xcmplx_0(641,446) = 195 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r44_r597,axiom,( k6_xcmplx_0(641,44) = 597 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r4_r637,axiom,( k6_xcmplx_0(641,4) = 637 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r5_r636,axiom,( k6_xcmplx_0(641,5) = 636 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r640_r1,axiom,( k6_xcmplx_0(641,640) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r641_r0,axiom,( k6_xcmplx_0(641,641) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r64_r577,axiom,( k6_xcmplx_0(641,64) = 577 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r68_r573,axiom,( k6_xcmplx_0(641,68) = 573 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r6_r635,axiom,( k6_xcmplx_0(641,6) = 635 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r732_rm91,axiom,( k6_xcmplx_0(641,732) = k4_xcmplx_0(91) )).
fof(rqRealDiff__k6_xcmplx_0__r641_r7_r634,axiom,( k6_xcmplx_0(641,7) = 634 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r8_r633,axiom,( k6_xcmplx_0(641,8) = 633 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r91_r550,axiom,( k6_xcmplx_0(641,91) = 550 )).
fof(rqRealDiff__k6_xcmplx_0__r641_r9_r632,axiom,( k6_xcmplx_0(641,9) = 632 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm110_r751,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(110)) = 751 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm13_r654,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(13)) = 654 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm151_r792,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(151)) = 792 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm169_r810,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(169)) = 810 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm16_r657,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(16)) = 657 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm1_r642,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(1)) = 642 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm29_r670,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(29)) = 670 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm30_r671,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(30)) = 671 )).
fof(rqRealDiff__k6_xcmplx_0__r641_rm357_r998,axiom,( k6_xcmplx_0(641,k4_xcmplx_0(357)) = 998 )).
fof(rqRealDiff__k6_xcmplx_0__r642_r1_r641,axiom,( k6_xcmplx_0(642,1) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r64_cr1r0_crm1r64,axiom,( k6_xcmplx_0(64,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),64) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r0_r64,axiom,( k6_xcmplx_0(64,0) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r108_rm44,axiom,( k6_xcmplx_0(64,108) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r10_r54,axiom,( k6_xcmplx_0(64,10) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r110_rm46,axiom,( k6_xcmplx_0(64,110) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r111_rm47,axiom,( k6_xcmplx_0(64,111) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r112_rm48,axiom,( k6_xcmplx_0(64,112) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r11_r53,axiom,( k6_xcmplx_0(64,11) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r128_rm64,axiom,( k6_xcmplx_0(64,128) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r12_r52,axiom,( k6_xcmplx_0(64,12) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r13_r51,axiom,( k6_xcmplx_0(64,13) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r14_r50,axiom,( k6_xcmplx_0(64,14) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r15_r49,axiom,( k6_xcmplx_0(64,15) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r16_r48,axiom,( k6_xcmplx_0(64,16) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r17_r47,axiom,( k6_xcmplx_0(64,17) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r18_r46,axiom,( k6_xcmplx_0(64,18) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r192_rm128,axiom,( k6_xcmplx_0(64,192) = k4_xcmplx_0(128) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r19_r45,axiom,( k6_xcmplx_0(64,19) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r1_r63,axiom,( k6_xcmplx_0(64,1) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r20_r44,axiom,( k6_xcmplx_0(64,20) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r21_r43,axiom,( k6_xcmplx_0(64,21) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r22_r42,axiom,( k6_xcmplx_0(64,22) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r23_r41,axiom,( k6_xcmplx_0(64,23) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r241_rm177,axiom,( k6_xcmplx_0(64,241) = k4_xcmplx_0(177) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r249_rm185,axiom,( k6_xcmplx_0(64,249) = k4_xcmplx_0(185) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r24_r40,axiom,( k6_xcmplx_0(64,24) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r255_rm191,axiom,( k6_xcmplx_0(64,255) = k4_xcmplx_0(191) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r256_rm192,axiom,( k6_xcmplx_0(64,256) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r25_r39,axiom,( k6_xcmplx_0(64,25) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r26_r38,axiom,( k6_xcmplx_0(64,26) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r27_r37,axiom,( k6_xcmplx_0(64,27) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r28_r36,axiom,( k6_xcmplx_0(64,28) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r29_r35,axiom,( k6_xcmplx_0(64,29) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r2_r62,axiom,( k6_xcmplx_0(64,2) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r30_r34,axiom,( k6_xcmplx_0(64,30) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r31_r33,axiom,( k6_xcmplx_0(64,31) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r32_r32,axiom,( k6_xcmplx_0(64,32) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r33_r31,axiom,( k6_xcmplx_0(64,33) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r34_r30,axiom,( k6_xcmplx_0(64,34) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r35_r29,axiom,( k6_xcmplx_0(64,35) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r36_r28,axiom,( k6_xcmplx_0(64,36) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r37_r27,axiom,( k6_xcmplx_0(64,37) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r38_r26,axiom,( k6_xcmplx_0(64,38) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r39_r25,axiom,( k6_xcmplx_0(64,39) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r3_r61,axiom,( k6_xcmplx_0(64,3) = 61 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r40_r24,axiom,( k6_xcmplx_0(64,40) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r41_r23,axiom,( k6_xcmplx_0(64,41) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r42_r22,axiom,( k6_xcmplx_0(64,42) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r43_r21,axiom,( k6_xcmplx_0(64,43) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r44_r20,axiom,( k6_xcmplx_0(64,44) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r45_r19,axiom,( k6_xcmplx_0(64,45) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r46_r18,axiom,( k6_xcmplx_0(64,46) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r47_r17,axiom,( k6_xcmplx_0(64,47) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r48_r16,axiom,( k6_xcmplx_0(64,48) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r49_r15,axiom,( k6_xcmplx_0(64,49) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r4_r60,axiom,( k6_xcmplx_0(64,4) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r50_r14,axiom,( k6_xcmplx_0(64,50) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r51_r13,axiom,( k6_xcmplx_0(64,51) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r52_r12,axiom,( k6_xcmplx_0(64,52) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r53_r11,axiom,( k6_xcmplx_0(64,53) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r54_r10,axiom,( k6_xcmplx_0(64,54) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r55_r9,axiom,( k6_xcmplx_0(64,55) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r56_r8,axiom,( k6_xcmplx_0(64,56) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r57_r7,axiom,( k6_xcmplx_0(64,57) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r58_r6,axiom,( k6_xcmplx_0(64,58) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r59_r5,axiom,( k6_xcmplx_0(64,59) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r5_r59,axiom,( k6_xcmplx_0(64,5) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r60_r4,axiom,( k6_xcmplx_0(64,60) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r61_r3,axiom,( k6_xcmplx_0(64,61) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r62_r2,axiom,( k6_xcmplx_0(64,62) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r63_r1,axiom,( k6_xcmplx_0(64,63) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r64_r0,axiom,( k6_xcmplx_0(64,64) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r6_r58,axiom,( k6_xcmplx_0(64,6) = 58 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r72_rm8,axiom,( k6_xcmplx_0(64,72) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r7_r57,axiom,( k6_xcmplx_0(64,7) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r809_rm745,axiom,( k6_xcmplx_0(64,809) = k4_xcmplx_0(745) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r81_rm17,axiom,( k6_xcmplx_0(64,81) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r83_rm19,axiom,( k6_xcmplx_0(64,83) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r84_rm20,axiom,( k6_xcmplx_0(64,84) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r85_rm21,axiom,( k6_xcmplx_0(64,85) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r8_r56,axiom,( k6_xcmplx_0(64,8) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r64_r96_rm32,axiom,( k6_xcmplx_0(64,96) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r64_r9_r55,axiom,( k6_xcmplx_0(64,9) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm1_r65,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(1)) = 65 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm27_r91,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(27)) = 91 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm2_r66,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(2)) = 66 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm36_r100,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(36)) = 100 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm3_r67,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(3)) = 67 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm48_r112,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(48)) = 112 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm64_r128,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(64)) = 128 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rm84_r148,axiom,( k6_xcmplx_0(64,k4_xcmplx_0(84)) = 148 )).
fof(rqRealDiff__k6_xcmplx_0__r64_rn111d4_rn145d4,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(111,4)) = k7_xcmplx_0(145,4) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rn1d2_rn127d2,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(1,2)) = k7_xcmplx_0(127,2) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rn1d4_rn255d4,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(1,4)) = k7_xcmplx_0(255,4) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rn255d4_rn1d4,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(255,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rn27d4_rn229d4,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(27,4)) = k7_xcmplx_0(229,4) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rn35d2_rn93d2,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(35,2)) = k7_xcmplx_0(93,2) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rnm1d2_rn129d2,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(129,2) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rnm1d4_rn257d4,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(257,4) )).
fof(rqRealDiff__k6_xcmplx_0__r64_rnm35d2_rn163d2,axiom,( k6_xcmplx_0(64,k7_xcmplx_0(k4_xcmplx_0(35),2)) = k7_xcmplx_0(163,2) )).
fof(rqRealDiff__k6_xcmplx_0__r656_r164_r492,axiom,( k6_xcmplx_0(656,164) = 492 )).
fof(rqRealDiff__k6_xcmplx_0__r656_r256_r400,axiom,( k6_xcmplx_0(656,256) = 400 )).
fof(rqRealDiff__k6_xcmplx_0__r656_r2_r654,axiom,( k6_xcmplx_0(656,2) = 654 )).
fof(rqRealDiff__k6_xcmplx_0__r656_r332_r324,axiom,( k6_xcmplx_0(656,332) = 324 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r128_r545,axiom,( k6_xcmplx_0(673,128) = 545 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r16_r657,axiom,( k6_xcmplx_0(673,16) = 657 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r1_r672,axiom,( k6_xcmplx_0(673,1) = 672 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r255_r418,axiom,( k6_xcmplx_0(673,255) = 418 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r256_r417,axiom,( k6_xcmplx_0(673,256) = 417 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r2_r671,axiom,( k6_xcmplx_0(673,2) = 671 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r4_r669,axiom,( k6_xcmplx_0(673,4) = 669 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r64_r609,axiom,( k6_xcmplx_0(673,64) = 609 )).
fof(rqRealDiff__k6_xcmplx_0__r673_r97_r576,axiom,( k6_xcmplx_0(673,97) = 576 )).
fof(rqRealDiff__k6_xcmplx_0__r68_r68_r0,axiom,( k6_xcmplx_0(68,68) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r68_rm16_r84,axiom,( k6_xcmplx_0(68,k4_xcmplx_0(16)) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r6_cr1r0_crm1r6,axiom,( k6_xcmplx_0(6,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),6) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6,axiom,( k6_xcmplx_0(6,0) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r6_r100_rm94,axiom,( k6_xcmplx_0(6,100) = k4_xcmplx_0(94) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r108_rm102,axiom,( k6_xcmplx_0(6,108) = k4_xcmplx_0(102) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r10_rm4,axiom,( k6_xcmplx_0(6,10) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r119_rm113,axiom,( k6_xcmplx_0(6,119) = k4_xcmplx_0(113) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r11_rm5,axiom,( k6_xcmplx_0(6,11) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r120_rm114,axiom,( k6_xcmplx_0(6,120) = k4_xcmplx_0(114) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r126_rm120,axiom,( k6_xcmplx_0(6,126) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r128_rm122,axiom,( k6_xcmplx_0(6,128) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r12_rm6,axiom,( k6_xcmplx_0(6,12) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r13_rm7,axiom,( k6_xcmplx_0(6,13) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r14_rm8,axiom,( k6_xcmplx_0(6,14) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r15_rm9,axiom,( k6_xcmplx_0(6,15) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r16_rm10,axiom,( k6_xcmplx_0(6,16) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r17_rm11,axiom,( k6_xcmplx_0(6,17) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r18_rm12,axiom,( k6_xcmplx_0(6,18) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r19_rm13,axiom,( k6_xcmplx_0(6,19) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r1_r5,axiom,( k6_xcmplx_0(6,1) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r6_r203_rm197,axiom,( k6_xcmplx_0(6,203) = k4_xcmplx_0(197) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r20_rm14,axiom,( k6_xcmplx_0(6,20) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r211_rm205,axiom,( k6_xcmplx_0(6,211) = k4_xcmplx_0(205) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r216_rm210,axiom,( k6_xcmplx_0(6,216) = k4_xcmplx_0(210) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r21_rm15,axiom,( k6_xcmplx_0(6,21) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r22_rm16,axiom,( k6_xcmplx_0(6,22) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r236_rm230,axiom,( k6_xcmplx_0(6,236) = k4_xcmplx_0(230) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r23_rm17,axiom,( k6_xcmplx_0(6,23) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r24_rm18,axiom,( k6_xcmplx_0(6,24) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r252_rm246,axiom,( k6_xcmplx_0(6,252) = k4_xcmplx_0(246) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r256_rm250,axiom,( k6_xcmplx_0(6,256) = k4_xcmplx_0(250) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r25_rm19,axiom,( k6_xcmplx_0(6,25) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r26_rm20,axiom,( k6_xcmplx_0(6,26) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r27_rm21,axiom,( k6_xcmplx_0(6,27) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r28_rm22,axiom,( k6_xcmplx_0(6,28) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r29_rm23,axiom,( k6_xcmplx_0(6,29) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r2_r4,axiom,( k6_xcmplx_0(6,2) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r6_r30_rm24,axiom,( k6_xcmplx_0(6,30) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r31_rm25,axiom,( k6_xcmplx_0(6,31) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r32_rm26,axiom,( k6_xcmplx_0(6,32) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r33_rm27,axiom,( k6_xcmplx_0(6,33) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r342_rm336,axiom,( k6_xcmplx_0(6,342) = k4_xcmplx_0(336) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r343_rm337,axiom,( k6_xcmplx_0(6,343) = k4_xcmplx_0(337) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r344_rm338,axiom,( k6_xcmplx_0(6,344) = k4_xcmplx_0(338) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r345_rm339,axiom,( k6_xcmplx_0(6,345) = k4_xcmplx_0(339) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r346_rm340,axiom,( k6_xcmplx_0(6,346) = k4_xcmplx_0(340) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r347_rm341,axiom,( k6_xcmplx_0(6,347) = k4_xcmplx_0(341) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r348_rm342,axiom,( k6_xcmplx_0(6,348) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r349_rm343,axiom,( k6_xcmplx_0(6,349) = k4_xcmplx_0(343) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r34_rm28,axiom,( k6_xcmplx_0(6,34) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r350_rm344,axiom,( k6_xcmplx_0(6,350) = k4_xcmplx_0(344) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r351_rm345,axiom,( k6_xcmplx_0(6,351) = k4_xcmplx_0(345) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r352_rm346,axiom,( k6_xcmplx_0(6,352) = k4_xcmplx_0(346) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r353_rm347,axiom,( k6_xcmplx_0(6,353) = k4_xcmplx_0(347) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r354_rm348,axiom,( k6_xcmplx_0(6,354) = k4_xcmplx_0(348) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r355_rm349,axiom,( k6_xcmplx_0(6,355) = k4_xcmplx_0(349) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r356_rm350,axiom,( k6_xcmplx_0(6,356) = k4_xcmplx_0(350) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r357_rm351,axiom,( k6_xcmplx_0(6,357) = k4_xcmplx_0(351) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r358_rm352,axiom,( k6_xcmplx_0(6,358) = k4_xcmplx_0(352) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r359_rm353,axiom,( k6_xcmplx_0(6,359) = k4_xcmplx_0(353) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r35_rm29,axiom,( k6_xcmplx_0(6,35) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r360_rm354,axiom,( k6_xcmplx_0(6,360) = k4_xcmplx_0(354) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r361_rm355,axiom,( k6_xcmplx_0(6,361) = k4_xcmplx_0(355) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r362_rm356,axiom,( k6_xcmplx_0(6,362) = k4_xcmplx_0(356) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r363_rm357,axiom,( k6_xcmplx_0(6,363) = k4_xcmplx_0(357) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r364_rm358,axiom,( k6_xcmplx_0(6,364) = k4_xcmplx_0(358) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r36_rm30,axiom,( k6_xcmplx_0(6,36) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r37_rm31,axiom,( k6_xcmplx_0(6,37) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r38_rm32,axiom,( k6_xcmplx_0(6,38) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r39_rm33,axiom,( k6_xcmplx_0(6,39) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r3_r3,axiom,( k6_xcmplx_0(6,3) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r6_r40_rm34,axiom,( k6_xcmplx_0(6,40) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r414_rm408,axiom,( k6_xcmplx_0(6,414) = k4_xcmplx_0(408) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r419_rm413,axiom,( k6_xcmplx_0(6,419) = k4_xcmplx_0(413) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r41_rm35,axiom,( k6_xcmplx_0(6,41) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r42_rm36,axiom,( k6_xcmplx_0(6,42) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r43_rm37,axiom,( k6_xcmplx_0(6,43) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r44_rm38,axiom,( k6_xcmplx_0(6,44) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r45_rm39,axiom,( k6_xcmplx_0(6,45) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r46_rm40,axiom,( k6_xcmplx_0(6,46) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r47_rm41,axiom,( k6_xcmplx_0(6,47) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r48_rm42,axiom,( k6_xcmplx_0(6,48) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r49_rm43,axiom,( k6_xcmplx_0(6,49) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r4_r2,axiom,( k6_xcmplx_0(6,4) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r6_r50_rm44,axiom,( k6_xcmplx_0(6,50) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r51_rm45,axiom,( k6_xcmplx_0(6,51) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r52_rm46,axiom,( k6_xcmplx_0(6,52) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r53_rm47,axiom,( k6_xcmplx_0(6,53) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r54_rm48,axiom,( k6_xcmplx_0(6,54) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r55_rm49,axiom,( k6_xcmplx_0(6,55) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r56_rm50,axiom,( k6_xcmplx_0(6,56) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r57_rm51,axiom,( k6_xcmplx_0(6,57) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r58_rm52,axiom,( k6_xcmplx_0(6,58) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r59_rm53,axiom,( k6_xcmplx_0(6,59) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r5_r1,axiom,( k6_xcmplx_0(6,5) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r6_r60_rm54,axiom,( k6_xcmplx_0(6,60) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r61_rm55,axiom,( k6_xcmplx_0(6,61) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r62_rm56,axiom,( k6_xcmplx_0(6,62) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r63_rm57,axiom,( k6_xcmplx_0(6,63) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r64_rm58,axiom,( k6_xcmplx_0(6,64) = k4_xcmplx_0(58) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0,axiom,( k6_xcmplx_0(6,6) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r6_r72_rm66,axiom,( k6_xcmplx_0(6,72) = k4_xcmplx_0(66) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r73_rm67,axiom,( k6_xcmplx_0(6,73) = k4_xcmplx_0(67) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r7_rm1,axiom,( k6_xcmplx_0(6,7) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r89_rm83,axiom,( k6_xcmplx_0(6,89) = k4_xcmplx_0(83) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r8_rm2,axiom,( k6_xcmplx_0(6,8) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r90_rm84,axiom,( k6_xcmplx_0(6,90) = k4_xcmplx_0(84) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r91_rm85,axiom,( k6_xcmplx_0(6,91) = k4_xcmplx_0(85) )).
fof(rqRealDiff__k6_xcmplx_0__r6_r9_rm3,axiom,( k6_xcmplx_0(6,9) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm10_r16,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(10)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm12_r18,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(12)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm18_r24,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(18)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm1_r7,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(1)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm24_r30,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(24)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm2_r8,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(2)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm30_r36,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(30)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm36_r42,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(36)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm3_r9,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(3)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm42_r48,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(42)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm48_r54,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(48)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm4_r10,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(4)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm5_r11,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(5)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm6_r12,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(6)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm7_r13,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(7)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rm8_r14,axiom,( k6_xcmplx_0(6,k4_xcmplx_0(8)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn10d3_rn8d3,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(10,3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn121d20_rnm1d20,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(121,20)) = k7_xcmplx_0(k4_xcmplx_0(1),20) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn13d2_rnm1d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn15d2_rnm3d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d2_rn11d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,2)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d36_rn215d36,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,36)) = k7_xcmplx_0(215,36) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d3_rn17d3,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,3)) = k7_xcmplx_0(17,3) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d4_rn23d4,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,4)) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d5_rn29d5,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,5)) = k7_xcmplx_0(29,5) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d6_rn35d6,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,6)) = k7_xcmplx_0(35,6) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d7_rn41d7,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,7)) = k7_xcmplx_0(41,7) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn1d8_rn47d8,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(1,8)) = k7_xcmplx_0(47,8) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn29d5_rn1d5,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(29,5)) = k7_xcmplx_0(1,5) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn2d5_rn28d5,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(2,5)) = k7_xcmplx_0(28,5) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn3d16_rn93d16,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(3,16)) = k7_xcmplx_0(93,16) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn3d2_rn9d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(3,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn5d2_rn7d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(5,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn7d8_rn41d8,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(7,8)) = k7_xcmplx_0(41,8) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rn9d2_rn3d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(9,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm1d20_rn121d20,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),20)) = k7_xcmplx_0(121,20) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm1d2_rn13d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm1d40_rn241d40,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(241,40) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm1d5_rn31d5,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(31,5) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm25d36_rn241d36,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(241,36) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm3d16_rn99d16,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(99,16) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm3d2_rn15d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm3d32_rn195d32,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(195,32) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm3d40_rn243d40,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(3),40)) = k7_xcmplx_0(243,40) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm59d60_rn419d60,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(59),60)) = k7_xcmplx_0(419,60) )).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm9d2_rn21d2,axiom,( k6_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__r70_r1_r69,axiom,( k6_xcmplx_0(70,1) = 69 )).
fof(rqRealDiff__k6_xcmplx_0__r714_r357_r357,axiom,( k6_xcmplx_0(714,357) = 357 )).
fof(rqRealDiff__k6_xcmplx_0__r71_r136_rm65,axiom,( k6_xcmplx_0(71,136) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__r71_r197_rm126,axiom,( k6_xcmplx_0(71,197) = k4_xcmplx_0(126) )).
fof(rqRealDiff__k6_xcmplx_0__r71_r1_r70,axiom,( k6_xcmplx_0(71,1) = 70 )).
fof(rqRealDiff__k6_xcmplx_0__r71_r256_rm185,axiom,( k6_xcmplx_0(71,256) = k4_xcmplx_0(185) )).
fof(rqRealDiff__k6_xcmplx_0__r71_r2_r69,axiom,( k6_xcmplx_0(71,2) = 69 )).
fof(rqRealDiff__k6_xcmplx_0__r71_r4_r67,axiom,( k6_xcmplx_0(71,4) = 67 )).
fof(rqRealDiff__k6_xcmplx_0__r71_r512_rm441,axiom,( k6_xcmplx_0(71,512) = k4_xcmplx_0(441) )).
fof(rqRealDiff__k6_xcmplx_0__r720_r1_r719,axiom,( k6_xcmplx_0(720,1) = 719 )).
fof(rqRealDiff__k6_xcmplx_0__r720_r6_r714,axiom,( k6_xcmplx_0(720,6) = 714 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r126_rm54,axiom,( k6_xcmplx_0(72,126) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r72_r18_r54,axiom,( k6_xcmplx_0(72,18) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r1_r71,axiom,( k6_xcmplx_0(72,1) = 71 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r203_rm131,axiom,( k6_xcmplx_0(72,203) = k4_xcmplx_0(131) )).
fof(rqRealDiff__k6_xcmplx_0__r72_r216_rm144,axiom,( k6_xcmplx_0(72,216) = k4_xcmplx_0(144) )).
fof(rqRealDiff__k6_xcmplx_0__r72_r21_r51,axiom,( k6_xcmplx_0(72,21) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r252_rm180,axiom,( k6_xcmplx_0(72,252) = k4_xcmplx_0(180) )).
fof(rqRealDiff__k6_xcmplx_0__r72_r2_r70,axiom,( k6_xcmplx_0(72,2) = 70 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r36_r36,axiom,( k6_xcmplx_0(72,36) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r414_rm342,axiom,( k6_xcmplx_0(72,414) = k4_xcmplx_0(342) )).
fof(rqRealDiff__k6_xcmplx_0__r72_r4_r68,axiom,( k6_xcmplx_0(72,4) = 68 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r54_r18,axiom,( k6_xcmplx_0(72,54) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r57_r15,axiom,( k6_xcmplx_0(72,57) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r5_r67,axiom,( k6_xcmplx_0(72,5) = 67 )).
fof(rqRealDiff__k6_xcmplx_0__r72_r72_r0,axiom,( k6_xcmplx_0(72,72) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r72_rm2_r74,axiom,( k6_xcmplx_0(72,k4_xcmplx_0(2)) = 74 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r0_r732,axiom,( k6_xcmplx_0(732,0) = 732 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r16_r716,axiom,( k6_xcmplx_0(732,16) = 716 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r183_r549,axiom,( k6_xcmplx_0(732,183) = 549 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r1_r731,axiom,( k6_xcmplx_0(732,1) = 731 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r366_r366,axiom,( k6_xcmplx_0(732,366) = 366 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r3_r729,axiom,( k6_xcmplx_0(732,3) = 729 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r641_r91,axiom,( k6_xcmplx_0(732,641) = 91 )).
fof(rqRealDiff__k6_xcmplx_0__r732_r91_r641,axiom,( k6_xcmplx_0(732,91) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r0_r73,axiom,( k6_xcmplx_0(73,0) = 73 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r10_r63,axiom,( k6_xcmplx_0(73,10) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r18_r55,axiom,( k6_xcmplx_0(73,18) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r1_r72,axiom,( k6_xcmplx_0(73,1) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r2_r71,axiom,( k6_xcmplx_0(73,2) = 71 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r4_r69,axiom,( k6_xcmplx_0(73,4) = 69 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r5_r68,axiom,( k6_xcmplx_0(73,5) = 68 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r63_r10,axiom,( k6_xcmplx_0(73,63) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r72_r1,axiom,( k6_xcmplx_0(73,72) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r73_r7_r66,axiom,( k6_xcmplx_0(73,7) = 66 )).
fof(rqRealDiff__k6_xcmplx_0__r73_rm2_r75,axiom,( k6_xcmplx_0(73,k4_xcmplx_0(2)) = 75 )).
fof(rqRealDiff__k6_xcmplx_0__r75_rm12_r87,axiom,( k6_xcmplx_0(75,k4_xcmplx_0(12)) = 87 )).
fof(rqRealDiff__k6_xcmplx_0__r768_r256_r512,axiom,( k6_xcmplx_0(768,256) = 512 )).
fof(rqRealDiff__k6_xcmplx_0__r768_r512_r256,axiom,( k6_xcmplx_0(768,512) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__r768_r768_r0,axiom,( k6_xcmplx_0(768,768) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r78_r110_rm32,axiom,( k6_xcmplx_0(78,110) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r78_r78_r0,axiom,( k6_xcmplx_0(78,78) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r78_r81_rm3,axiom,( k6_xcmplx_0(78,81) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r792_r151_r641,axiom,( k6_xcmplx_0(792,151) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r0_r7,axiom,( k6_xcmplx_0(7,0) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r10_rm3,axiom,( k6_xcmplx_0(7,10) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r11_rm4,axiom,( k6_xcmplx_0(7,11) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r120_rm113,axiom,( k6_xcmplx_0(7,120) = k4_xcmplx_0(113) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r121_rm114,axiom,( k6_xcmplx_0(7,121) = k4_xcmplx_0(114) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r128_rm121,axiom,( k6_xcmplx_0(7,128) = k4_xcmplx_0(121) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r12_rm5,axiom,( k6_xcmplx_0(7,12) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r13_rm6,axiom,( k6_xcmplx_0(7,13) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r14_rm7,axiom,( k6_xcmplx_0(7,14) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r15_rm8,axiom,( k6_xcmplx_0(7,15) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r16_rm9,axiom,( k6_xcmplx_0(7,16) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r17_rm10,axiom,( k6_xcmplx_0(7,17) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r18_rm11,axiom,( k6_xcmplx_0(7,18) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r19_rm12,axiom,( k6_xcmplx_0(7,19) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r1_r6,axiom,( k6_xcmplx_0(7,1) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r20_rm13,axiom,( k6_xcmplx_0(7,20) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r211_rm204,axiom,( k6_xcmplx_0(7,211) = k4_xcmplx_0(204) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r21_rm14,axiom,( k6_xcmplx_0(7,21) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r22_rm15,axiom,( k6_xcmplx_0(7,22) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r23_rm16,axiom,( k6_xcmplx_0(7,23) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r24_rm17,axiom,( k6_xcmplx_0(7,24) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r25_rm18,axiom,( k6_xcmplx_0(7,25) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r26_rm19,axiom,( k6_xcmplx_0(7,26) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r27_rm20,axiom,( k6_xcmplx_0(7,27) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r28_rm21,axiom,( k6_xcmplx_0(7,28) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r29_rm22,axiom,( k6_xcmplx_0(7,29) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r2_r5,axiom,( k6_xcmplx_0(7,2) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r30_rm23,axiom,( k6_xcmplx_0(7,30) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r31_rm24,axiom,( k6_xcmplx_0(7,31) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r32_rm25,axiom,( k6_xcmplx_0(7,32) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r33_rm26,axiom,( k6_xcmplx_0(7,33) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r34_rm27,axiom,( k6_xcmplx_0(7,34) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r35_rm28,axiom,( k6_xcmplx_0(7,35) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r36_rm29,axiom,( k6_xcmplx_0(7,36) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r37_rm30,axiom,( k6_xcmplx_0(7,37) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r38_rm31,axiom,( k6_xcmplx_0(7,38) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r39_rm32,axiom,( k6_xcmplx_0(7,39) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r3_r4,axiom,( k6_xcmplx_0(7,3) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r40_rm33,axiom,( k6_xcmplx_0(7,40) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r41_rm34,axiom,( k6_xcmplx_0(7,41) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r42_rm35,axiom,( k6_xcmplx_0(7,42) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r43_rm36,axiom,( k6_xcmplx_0(7,43) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r44_rm37,axiom,( k6_xcmplx_0(7,44) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r45_rm38,axiom,( k6_xcmplx_0(7,45) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r46_rm39,axiom,( k6_xcmplx_0(7,46) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r47_rm40,axiom,( k6_xcmplx_0(7,47) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r48_rm41,axiom,( k6_xcmplx_0(7,48) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r49_rm42,axiom,( k6_xcmplx_0(7,49) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r4_r3,axiom,( k6_xcmplx_0(7,4) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r50_rm43,axiom,( k6_xcmplx_0(7,50) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r51_rm44,axiom,( k6_xcmplx_0(7,51) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r52_rm45,axiom,( k6_xcmplx_0(7,52) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r53_rm46,axiom,( k6_xcmplx_0(7,53) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r54_rm47,axiom,( k6_xcmplx_0(7,54) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r55_rm48,axiom,( k6_xcmplx_0(7,55) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r56_rm49,axiom,( k6_xcmplx_0(7,56) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r57_rm50,axiom,( k6_xcmplx_0(7,57) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r58_rm51,axiom,( k6_xcmplx_0(7,58) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r59_rm52,axiom,( k6_xcmplx_0(7,59) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r5_r2,axiom,( k6_xcmplx_0(7,5) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r60_rm53,axiom,( k6_xcmplx_0(7,60) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r61_rm54,axiom,( k6_xcmplx_0(7,61) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r62_rm55,axiom,( k6_xcmplx_0(7,62) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r63_rm56,axiom,( k6_xcmplx_0(7,63) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r64_rm57,axiom,( k6_xcmplx_0(7,64) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r6_r1,axiom,( k6_xcmplx_0(7,6) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r7_r0,axiom,( k6_xcmplx_0(7,7) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r7_r84_rm77,axiom,( k6_xcmplx_0(7,84) = k4_xcmplx_0(77) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r89_rm82,axiom,( k6_xcmplx_0(7,89) = k4_xcmplx_0(82) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r8_rm1,axiom,( k6_xcmplx_0(7,8) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r96_rm89,axiom,( k6_xcmplx_0(7,96) = k4_xcmplx_0(89) )).
fof(rqRealDiff__k6_xcmplx_0__r7_r9_rm2,axiom,( k6_xcmplx_0(7,9) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm15_r22,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(15)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm1_r8,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(1)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm24_r31,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(24)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm27_r34,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(27)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm2_r9,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(2)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm33_r40,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(33)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm36_r43,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(36)) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm3_r10,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(3)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm45_r52,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(45)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm48_r55,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(48)) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm4_r11,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(4)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm5_r12,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(5)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm6_r13,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(6)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm7_r14,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(7)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rm8_r15,axiom,( k6_xcmplx_0(7,k4_xcmplx_0(8)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn11d10_rn59d10,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(11,10)) = k7_xcmplx_0(59,10) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn12d5_rn23d5,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(12,5)) = k7_xcmplx_0(23,5) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn15d2_rnm1d2,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn1d27_rn188d27,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(1,27)) = k7_xcmplx_0(188,27) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn1d3_rn20d3,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(1,3)) = k7_xcmplx_0(20,3) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn1d4_rn27d4,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(1,4)) = k7_xcmplx_0(27,4) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn1d6_rn41d6,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(1,6)) = k7_xcmplx_0(41,6) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn1d8_rn55d8,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(1,8)) = k7_xcmplx_0(55,8) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn1d9_rn62d9,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(1,9)) = k7_xcmplx_0(62,9) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn2d3_rn19d3,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(2,3)) = k7_xcmplx_0(19,3) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn3d2_rn11d2,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(3,2)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn49d81_rn518d81,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(49,81)) = k7_xcmplx_0(518,81) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn4d9_rn59d9,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(4,9)) = k7_xcmplx_0(59,9) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn7d4_rn21d4,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(7,4)) = k7_xcmplx_0(21,4) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn7d64_rn441d64,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(7,64)) = k7_xcmplx_0(441,64) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn7d8_rn49d8,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(7,8)) = k7_xcmplx_0(49,8) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn7d9_rn56d9,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(7,9)) = k7_xcmplx_0(56,9) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn8d27_rn181d27,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(8,27)) = k7_xcmplx_0(181,27) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rn8d5_rn27d5,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(8,5)) = k7_xcmplx_0(27,5) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rnm1d2_rn15d2,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__r7_rnm7d27_rn196d27,axiom,( k6_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(196,27) )).
fof(rqRealDiff__k6_xcmplx_0__r809_r16_r793,axiom,( k6_xcmplx_0(809,16) = 793 )).
fof(rqRealDiff__k6_xcmplx_0__r809_r1_r808,axiom,( k6_xcmplx_0(809,1) = 808 )).
fof(rqRealDiff__k6_xcmplx_0__r809_r241_r568,axiom,( k6_xcmplx_0(809,241) = 568 )).
fof(rqRealDiff__k6_xcmplx_0__r809_r255_r554,axiom,( k6_xcmplx_0(809,255) = 554 )).
fof(rqRealDiff__k6_xcmplx_0__r809_r256_r553,axiom,( k6_xcmplx_0(809,256) = 553 )).
fof(rqRealDiff__k6_xcmplx_0__r809_r2_r807,axiom,( k6_xcmplx_0(809,2) = 807 )).
fof(rqRealDiff__k6_xcmplx_0__r809_r4_r805,axiom,( k6_xcmplx_0(809,4) = 805 )).
fof(rqRealDiff__k6_xcmplx_0__r809_r8_r801,axiom,( k6_xcmplx_0(809,8) = 801 )).
fof(rqRealDiff__k6_xcmplx_0__r80_r10_r70,axiom,( k6_xcmplx_0(80,10) = 70 )).
fof(rqRealDiff__k6_xcmplx_0__r80_r1_r79,axiom,( k6_xcmplx_0(80,1) = 79 )).
fof(rqRealDiff__k6_xcmplx_0__r80_r256_rm176,axiom,( k6_xcmplx_0(80,256) = k4_xcmplx_0(176) )).
fof(rqRealDiff__k6_xcmplx_0__r80_r80_r0,axiom,( k6_xcmplx_0(80,80) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r80_rm1_r81,axiom,( k6_xcmplx_0(80,k4_xcmplx_0(1)) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r80_rm2_r82,axiom,( k6_xcmplx_0(80,k4_xcmplx_0(2)) = 82 )).
fof(rqRealDiff__k6_xcmplx_0__r810_r169_r641,axiom,( k6_xcmplx_0(810,169) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r0_r81,axiom,( k6_xcmplx_0(81,0) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r136_rm55,axiom,( k6_xcmplx_0(81,136) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r81_r16_r65,axiom,( k6_xcmplx_0(81,16) = 65 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r1_r80,axiom,( k6_xcmplx_0(81,1) = 80 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r241_rm160,axiom,( k6_xcmplx_0(81,241) = k4_xcmplx_0(160) )).
fof(rqRealDiff__k6_xcmplx_0__r81_r255_rm174,axiom,( k6_xcmplx_0(81,255) = k4_xcmplx_0(174) )).
fof(rqRealDiff__k6_xcmplx_0__r81_r256_rm175,axiom,( k6_xcmplx_0(81,256) = k4_xcmplx_0(175) )).
fof(rqRealDiff__k6_xcmplx_0__r81_r257_rm176,axiom,( k6_xcmplx_0(81,257) = k4_xcmplx_0(176) )).
fof(rqRealDiff__k6_xcmplx_0__r81_r25_r56,axiom,( k6_xcmplx_0(81,25) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r27_r54,axiom,( k6_xcmplx_0(81,27) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r2_r79,axiom,( k6_xcmplx_0(81,2) = 79 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r3_r78,axiom,( k6_xcmplx_0(81,3) = 78 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r4_r77,axiom,( k6_xcmplx_0(81,4) = 77 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r54_r27,axiom,( k6_xcmplx_0(81,54) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r6_r75,axiom,( k6_xcmplx_0(81,6) = 75 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r78_r3,axiom,( k6_xcmplx_0(81,78) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r809_rm728,axiom,( k6_xcmplx_0(81,809) = k4_xcmplx_0(728) )).
fof(rqRealDiff__k6_xcmplx_0__r81_r81_r0,axiom,( k6_xcmplx_0(81,81) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r8_r73,axiom,( k6_xcmplx_0(81,8) = 73 )).
fof(rqRealDiff__k6_xcmplx_0__r81_r9_r72,axiom,( k6_xcmplx_0(81,9) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r81_rm16_r97,axiom,( k6_xcmplx_0(81,k4_xcmplx_0(16)) = 97 )).
fof(rqRealDiff__k6_xcmplx_0__r81_rm1_r82,axiom,( k6_xcmplx_0(81,k4_xcmplx_0(1)) = 82 )).
fof(rqRealDiff__k6_xcmplx_0__r81_rm2_r83,axiom,( k6_xcmplx_0(81,k4_xcmplx_0(2)) = 83 )).
fof(rqRealDiff__k6_xcmplx_0__r82_r82_r0,axiom,( k6_xcmplx_0(82,82) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r83_r136_rm53,axiom,( k6_xcmplx_0(83,136) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r83_r16_r67,axiom,( k6_xcmplx_0(83,16) = 67 )).
fof(rqRealDiff__k6_xcmplx_0__r83_r1_r82,axiom,( k6_xcmplx_0(83,1) = 82 )).
fof(rqRealDiff__k6_xcmplx_0__r83_r241_rm158,axiom,( k6_xcmplx_0(83,241) = k4_xcmplx_0(158) )).
fof(rqRealDiff__k6_xcmplx_0__r83_r256_rm173,axiom,( k6_xcmplx_0(83,256) = k4_xcmplx_0(173) )).
fof(rqRealDiff__k6_xcmplx_0__r83_r2_r81,axiom,( k6_xcmplx_0(83,2) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r83_r3_r80,axiom,( k6_xcmplx_0(83,3) = 80 )).
fof(rqRealDiff__k6_xcmplx_0__r83_r71_r12,axiom,( k6_xcmplx_0(83,71) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r83_r83_r0,axiom,( k6_xcmplx_0(83,83) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r12_r72,axiom,( k6_xcmplx_0(84,12) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r16_r68,axiom,( k6_xcmplx_0(84,16) = 68 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r1_r83,axiom,( k6_xcmplx_0(84,1) = 83 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r27_r57,axiom,( k6_xcmplx_0(84,27) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r28_r56,axiom,( k6_xcmplx_0(84,28) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r2_r82,axiom,( k6_xcmplx_0(84,2) = 82 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r36_r48,axiom,( k6_xcmplx_0(84,36) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r3_r81,axiom,( k6_xcmplx_0(84,3) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r48_r36,axiom,( k6_xcmplx_0(84,48) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r4_r80,axiom,( k6_xcmplx_0(84,4) = 80 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r64_r20,axiom,( k6_xcmplx_0(84,64) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r7_r77,axiom,( k6_xcmplx_0(84,7) = 77 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r84_r0,axiom,( k6_xcmplx_0(84,84) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r84_r9_r75,axiom,( k6_xcmplx_0(84,9) = 75 )).
fof(rqRealDiff__k6_xcmplx_0__r84_rm1_r85,axiom,( k6_xcmplx_0(84,k4_xcmplx_0(1)) = 85 )).
fof(rqRealDiff__k6_xcmplx_0__r84_rm27_r111,axiom,( k6_xcmplx_0(84,k4_xcmplx_0(27)) = 111 )).
fof(rqRealDiff__k6_xcmplx_0__r84_rm2_r86,axiom,( k6_xcmplx_0(84,k4_xcmplx_0(2)) = 86 )).
fof(rqRealDiff__k6_xcmplx_0__r84_rm36_r120,axiom,( k6_xcmplx_0(84,k4_xcmplx_0(36)) = 120 )).
fof(rqRealDiff__k6_xcmplx_0__r84_rm3_r87,axiom,( k6_xcmplx_0(84,k4_xcmplx_0(3)) = 87 )).
fof(rqRealDiff__k6_xcmplx_0__r84_rm48_r132,axiom,( k6_xcmplx_0(84,k4_xcmplx_0(48)) = 132 )).
fof(rqRealDiff__k6_xcmplx_0__r85_r10_r75,axiom,( k6_xcmplx_0(85,10) = 75 )).
fof(rqRealDiff__k6_xcmplx_0__r85_r1_r84,axiom,( k6_xcmplx_0(85,1) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r85_r85_r0,axiom,( k6_xcmplx_0(85,85) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r18_r71,axiom,( k6_xcmplx_0(89,18) = 71 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r1_r88,axiom,( k6_xcmplx_0(89,1) = 88 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r2_r87,axiom,( k6_xcmplx_0(89,2) = 87 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r32_r57,axiom,( k6_xcmplx_0(89,32) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r33_r56,axiom,( k6_xcmplx_0(89,33) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r35_r54,axiom,( k6_xcmplx_0(89,35) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r39_r50,axiom,( k6_xcmplx_0(89,39) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r3_r86,axiom,( k6_xcmplx_0(89,3) = 86 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r4_r85,axiom,( k6_xcmplx_0(89,4) = 85 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r54_r35,axiom,( k6_xcmplx_0(89,54) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r6_r83,axiom,( k6_xcmplx_0(89,6) = 83 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r73_r16,axiom,( k6_xcmplx_0(89,73) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r7_r82,axiom,( k6_xcmplx_0(89,7) = 82 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r89_r0,axiom,( k6_xcmplx_0(89,89) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r89_r90_rm1,axiom,( k6_xcmplx_0(89,90) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r89_r91_rm2,axiom,( k6_xcmplx_0(89,91) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r89_rm1_r90,axiom,( k6_xcmplx_0(89,k4_xcmplx_0(1)) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__r89_rn11d10_rn879d10,axiom,( k6_xcmplx_0(89,k7_xcmplx_0(11,10)) = k7_xcmplx_0(879,10) )).
fof(rqRealDiff__k6_xcmplx_0__r8_cr1r0_crm1r8,axiom,( k6_xcmplx_0(8,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),8) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r0_r8,axiom,( k6_xcmplx_0(8,0) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r10_rm2,axiom,( k6_xcmplx_0(8,10) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r112_rm104,axiom,( k6_xcmplx_0(8,112) = k4_xcmplx_0(104) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r11_rm3,axiom,( k6_xcmplx_0(8,11) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r121_rm113,axiom,( k6_xcmplx_0(8,121) = k4_xcmplx_0(113) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r128_rm120,axiom,( k6_xcmplx_0(8,128) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r12_rm4,axiom,( k6_xcmplx_0(8,12) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r13_rm5,axiom,( k6_xcmplx_0(8,13) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r14_rm6,axiom,( k6_xcmplx_0(8,14) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r15_rm7,axiom,( k6_xcmplx_0(8,15) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r16_rm8,axiom,( k6_xcmplx_0(8,16) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r17_rm9,axiom,( k6_xcmplx_0(8,17) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r18_rm10,axiom,( k6_xcmplx_0(8,18) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r192_rm184,axiom,( k6_xcmplx_0(8,192) = k4_xcmplx_0(184) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r19_rm11,axiom,( k6_xcmplx_0(8,19) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r1_r7,axiom,( k6_xcmplx_0(8,1) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r20_rm12,axiom,( k6_xcmplx_0(8,20) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r21_rm13,axiom,( k6_xcmplx_0(8,21) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r22_rm14,axiom,( k6_xcmplx_0(8,22) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r23_rm15,axiom,( k6_xcmplx_0(8,23) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r24_rm16,axiom,( k6_xcmplx_0(8,24) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r256_rm248,axiom,( k6_xcmplx_0(8,256) = k4_xcmplx_0(248) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r25_rm17,axiom,( k6_xcmplx_0(8,25) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r26_rm18,axiom,( k6_xcmplx_0(8,26) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r27_rm19,axiom,( k6_xcmplx_0(8,27) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r28_rm20,axiom,( k6_xcmplx_0(8,28) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r29_rm21,axiom,( k6_xcmplx_0(8,29) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r2_r6,axiom,( k6_xcmplx_0(8,2) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r30_rm22,axiom,( k6_xcmplx_0(8,30) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r31_rm23,axiom,( k6_xcmplx_0(8,31) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r32_rm24,axiom,( k6_xcmplx_0(8,32) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r33_rm25,axiom,( k6_xcmplx_0(8,33) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r34_rm26,axiom,( k6_xcmplx_0(8,34) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r35_rm27,axiom,( k6_xcmplx_0(8,35) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r36_rm28,axiom,( k6_xcmplx_0(8,36) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r37_rm29,axiom,( k6_xcmplx_0(8,37) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r38_rm30,axiom,( k6_xcmplx_0(8,38) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r39_rm31,axiom,( k6_xcmplx_0(8,39) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r3_r5,axiom,( k6_xcmplx_0(8,3) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r40_rm32,axiom,( k6_xcmplx_0(8,40) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r41_rm33,axiom,( k6_xcmplx_0(8,41) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r42_rm34,axiom,( k6_xcmplx_0(8,42) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r43_rm35,axiom,( k6_xcmplx_0(8,43) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r44_rm36,axiom,( k6_xcmplx_0(8,44) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r45_rm37,axiom,( k6_xcmplx_0(8,45) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r46_rm38,axiom,( k6_xcmplx_0(8,46) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r47_rm39,axiom,( k6_xcmplx_0(8,47) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r48_rm40,axiom,( k6_xcmplx_0(8,48) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r49_rm41,axiom,( k6_xcmplx_0(8,49) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r4_r4,axiom,( k6_xcmplx_0(8,4) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r50_rm42,axiom,( k6_xcmplx_0(8,50) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r51_rm43,axiom,( k6_xcmplx_0(8,51) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r52_rm44,axiom,( k6_xcmplx_0(8,52) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r53_rm45,axiom,( k6_xcmplx_0(8,53) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r54_rm46,axiom,( k6_xcmplx_0(8,54) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r55_rm47,axiom,( k6_xcmplx_0(8,55) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r56_rm48,axiom,( k6_xcmplx_0(8,56) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r57_rm49,axiom,( k6_xcmplx_0(8,57) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r58_rm50,axiom,( k6_xcmplx_0(8,58) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r59_rm51,axiom,( k6_xcmplx_0(8,59) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r5_r3,axiom,( k6_xcmplx_0(8,5) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r60_rm52,axiom,( k6_xcmplx_0(8,60) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r61_rm53,axiom,( k6_xcmplx_0(8,61) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r62_rm54,axiom,( k6_xcmplx_0(8,62) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r63_rm55,axiom,( k6_xcmplx_0(8,63) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r64_rm56,axiom,( k6_xcmplx_0(8,64) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r6_r2,axiom,( k6_xcmplx_0(8,6) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r7_r1,axiom,( k6_xcmplx_0(8,7) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r80_rm72,axiom,( k6_xcmplx_0(8,80) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r8_r0,axiom,( k6_xcmplx_0(8,8) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r8_r96_rm88,axiom,( k6_xcmplx_0(8,96) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__r8_r9_rm1,axiom,( k6_xcmplx_0(8,9) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm16_r24,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(16)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm18_r26,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(18)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm1_r9,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(1)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm24_r32,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(24)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm2_r10,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(2)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm32_r40,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(32)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm3_r11,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(3)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm4_r12,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(4)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm5_r13,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(5)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm6_r14,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(6)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm7_r15,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(7)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm8_r16,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(8)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rm9_r17,axiom,( k6_xcmplx_0(8,k4_xcmplx_0(9)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn1d2_rn15d2,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(1,2)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn1d3_rn23d3,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(1,3)) = k7_xcmplx_0(23,3) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn1d4_rn31d4,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(1,4)) = k7_xcmplx_0(31,4) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn1d6_rn47d6,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(1,6)) = k7_xcmplx_0(47,6) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn1d8_rn63d8,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(1,8)) = k7_xcmplx_0(63,8) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn1d9_rn71d9,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(1,9)) = k7_xcmplx_0(71,9) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn31d4_rn1d4,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(31,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn35d3_rnm11d3,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn3d2_rn13d2,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(3,2)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn3d4_rn29d4,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(3,4)) = k7_xcmplx_0(29,4) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn3d8_rn61d8,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(3,8)) = k7_xcmplx_0(61,8) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn5d4_rn27d4,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(5,4)) = k7_xcmplx_0(27,4) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn5d8_rn59d8,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(5,8)) = k7_xcmplx_0(59,8) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn7d4_rn25d4,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(7,4)) = k7_xcmplx_0(25,4) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn7d8_rn57d8,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(7,8)) = k7_xcmplx_0(57,8) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn8d3_rn16d3,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(8,3)) = k7_xcmplx_0(16,3) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rn9d2_rn7d2,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(9,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rnm1d2_rn17d2,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(17,2) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rnm1d4_rn33d4,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(33,4) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rnm1d6_rn49d6,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(49,6) )).
fof(rqRealDiff__k6_xcmplx_0__r8_rnm2d3_rn26d3,axiom,( k6_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(26,3) )).
fof(rqRealDiff__k6_xcmplx_0__r90_r10_r80,axiom,( k6_xcmplx_0(90,10) = 80 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r18_r72,axiom,( k6_xcmplx_0(90,18) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r1_r89,axiom,( k6_xcmplx_0(90,1) = 89 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r39_r51,axiom,( k6_xcmplx_0(90,39) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r3_r87,axiom,( k6_xcmplx_0(90,3) = 87 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r4_r86,axiom,( k6_xcmplx_0(90,4) = 86 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r57_r33,axiom,( k6_xcmplx_0(90,57) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r6_r84,axiom,( k6_xcmplx_0(90,6) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r73_r17,axiom,( k6_xcmplx_0(90,73) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r90_r0,axiom,( k6_xcmplx_0(90,90) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r90_r9_r81,axiom,( k6_xcmplx_0(90,9) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r0_r91,axiom,( k6_xcmplx_0(91,0) = 91 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r10_r81,axiom,( k6_xcmplx_0(91,10) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r16_r75,axiom,( k6_xcmplx_0(91,16) = 75 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r183_rm92,axiom,( k6_xcmplx_0(91,183) = k4_xcmplx_0(92) )).
fof(rqRealDiff__k6_xcmplx_0__r91_r18_r73,axiom,( k6_xcmplx_0(91,18) = 73 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r1_r90,axiom,( k6_xcmplx_0(91,1) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r32_r59,axiom,( k6_xcmplx_0(91,32) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r366_rm275,axiom,( k6_xcmplx_0(91,366) = k4_xcmplx_0(275) )).
fof(rqRealDiff__k6_xcmplx_0__r91_r39_r52,axiom,( k6_xcmplx_0(91,39) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r3_r88,axiom,( k6_xcmplx_0(91,3) = 88 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r4_r87,axiom,( k6_xcmplx_0(91,4) = 87 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r63_r28,axiom,( k6_xcmplx_0(91,63) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r641_rm550,axiom,( k6_xcmplx_0(91,641) = k4_xcmplx_0(550) )).
fof(rqRealDiff__k6_xcmplx_0__r91_r6_r85,axiom,( k6_xcmplx_0(91,6) = 85 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r73_r18,axiom,( k6_xcmplx_0(91,73) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r7_r84,axiom,( k6_xcmplx_0(91,7) = 84 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r90_r1,axiom,( k6_xcmplx_0(91,90) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r91_r91_r0,axiom,( k6_xcmplx_0(91,91) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r96_r120_rm24,axiom,( k6_xcmplx_0(96,120) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r96_r128_rm32,axiom,( k6_xcmplx_0(96,128) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r96_r192_rm96,axiom,( k6_xcmplx_0(96,192) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__r96_r384_rm288,axiom,( k6_xcmplx_0(96,384) = k4_xcmplx_0(288) )).
fof(rqRealDiff__k6_xcmplx_0__r96_r576_rm480,axiom,( k6_xcmplx_0(96,576) = k4_xcmplx_0(480) )).
fof(rqRealDiff__k6_xcmplx_0__r96_r768_rm672,axiom,( k6_xcmplx_0(96,768) = k4_xcmplx_0(672) )).
fof(rqRealDiff__k6_xcmplx_0__r96_r96_r0,axiom,( k6_xcmplx_0(96,96) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r96_rm192_r288,axiom,( k6_xcmplx_0(96,k4_xcmplx_0(192)) = 288 )).
fof(rqRealDiff__k6_xcmplx_0__r96_rm288_r384,axiom,( k6_xcmplx_0(96,k4_xcmplx_0(288)) = 384 )).
fof(rqRealDiff__k6_xcmplx_0__r96_rm96_r192,axiom,( k6_xcmplx_0(96,k4_xcmplx_0(96)) = 192 )).
fof(rqRealDiff__k6_xcmplx_0__r97_r128_rm31,axiom,( k6_xcmplx_0(97,128) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r97_r16_r81,axiom,( k6_xcmplx_0(97,16) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__r97_r1_r96,axiom,( k6_xcmplx_0(97,1) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__r97_r255_rm158,axiom,( k6_xcmplx_0(97,255) = k4_xcmplx_0(158) )).
fof(rqRealDiff__k6_xcmplx_0__r97_r256_rm159,axiom,( k6_xcmplx_0(97,256) = k4_xcmplx_0(159) )).
fof(rqRealDiff__k6_xcmplx_0__r97_r2_r95,axiom,( k6_xcmplx_0(97,2) = 95 )).
fof(rqRealDiff__k6_xcmplx_0__r97_r4_r93,axiom,( k6_xcmplx_0(97,4) = 93 )).
fof(rqRealDiff__k6_xcmplx_0__r97_r64_r33,axiom,( k6_xcmplx_0(97,64) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r998_r357_r641,axiom,( k6_xcmplx_0(998,357) = 641 )).
fof(rqRealDiff__k6_xcmplx_0__r99_r100_rm1,axiom,( k6_xcmplx_0(99,100) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r99_r10_r89,axiom,( k6_xcmplx_0(99,10) = 89 )).
fof(rqRealDiff__k6_xcmplx_0__r99_r1_r98,axiom,( k6_xcmplx_0(99,1) = 98 )).
fof(rqRealDiff__k6_xcmplx_0__r99_r2_r97,axiom,( k6_xcmplx_0(99,2) = 97 )).
fof(rqRealDiff__k6_xcmplx_0__r99_r9_r90,axiom,( k6_xcmplx_0(99,9) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__r99_rm1_r100,axiom,( k6_xcmplx_0(99,k4_xcmplx_0(1)) = 100 )).
fof(rqRealDiff__k6_xcmplx_0__r9_cr1r0_crm1r9,axiom,( k6_xcmplx_0(9,k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),9) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r0_r9,axiom,( k6_xcmplx_0(9,0) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r100_rm91,axiom,( k6_xcmplx_0(9,100) = k4_xcmplx_0(91) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r10_rm1,axiom,( k6_xcmplx_0(9,10) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r11_rm2,axiom,( k6_xcmplx_0(9,11) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r12_rm3,axiom,( k6_xcmplx_0(9,12) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r13_rm4,axiom,( k6_xcmplx_0(9,13) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r14_rm5,axiom,( k6_xcmplx_0(9,14) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r151_rm142,axiom,( k6_xcmplx_0(9,151) = k4_xcmplx_0(142) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r15_rm6,axiom,( k6_xcmplx_0(9,15) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r16_rm7,axiom,( k6_xcmplx_0(9,16) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r17_rm8,axiom,( k6_xcmplx_0(9,17) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r18_rm9,axiom,( k6_xcmplx_0(9,18) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r19_rm10,axiom,( k6_xcmplx_0(9,19) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r1_r8,axiom,( k6_xcmplx_0(9,1) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r20_rm11,axiom,( k6_xcmplx_0(9,20) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r21_rm12,axiom,( k6_xcmplx_0(9,21) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r22_rm13,axiom,( k6_xcmplx_0(9,22) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r23_rm14,axiom,( k6_xcmplx_0(9,23) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r24_rm15,axiom,( k6_xcmplx_0(9,24) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r256_rm247,axiom,( k6_xcmplx_0(9,256) = k4_xcmplx_0(247) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r257_rm248,axiom,( k6_xcmplx_0(9,257) = k4_xcmplx_0(248) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r25_rm16,axiom,( k6_xcmplx_0(9,25) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r26_rm17,axiom,( k6_xcmplx_0(9,26) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r27_rm18,axiom,( k6_xcmplx_0(9,27) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r28_rm19,axiom,( k6_xcmplx_0(9,28) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r29_rm20,axiom,( k6_xcmplx_0(9,29) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r2_r7,axiom,( k6_xcmplx_0(9,2) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r30_rm21,axiom,( k6_xcmplx_0(9,30) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r31_rm22,axiom,( k6_xcmplx_0(9,31) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r32_rm23,axiom,( k6_xcmplx_0(9,32) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r33_rm24,axiom,( k6_xcmplx_0(9,33) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r34_rm25,axiom,( k6_xcmplx_0(9,34) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r35_rm26,axiom,( k6_xcmplx_0(9,35) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r36_rm27,axiom,( k6_xcmplx_0(9,36) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r37_rm28,axiom,( k6_xcmplx_0(9,37) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r38_rm29,axiom,( k6_xcmplx_0(9,38) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r39_rm30,axiom,( k6_xcmplx_0(9,39) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r3_r6,axiom,( k6_xcmplx_0(9,3) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r40_rm31,axiom,( k6_xcmplx_0(9,40) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r41_rm32,axiom,( k6_xcmplx_0(9,41) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r42_rm33,axiom,( k6_xcmplx_0(9,42) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r43_rm34,axiom,( k6_xcmplx_0(9,43) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r44_rm35,axiom,( k6_xcmplx_0(9,44) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r45_rm36,axiom,( k6_xcmplx_0(9,45) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r46_rm37,axiom,( k6_xcmplx_0(9,46) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r47_rm38,axiom,( k6_xcmplx_0(9,47) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r48_rm39,axiom,( k6_xcmplx_0(9,48) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r49_rm40,axiom,( k6_xcmplx_0(9,49) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r4_r5,axiom,( k6_xcmplx_0(9,4) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r50_rm41,axiom,( k6_xcmplx_0(9,50) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r512_rm503,axiom,( k6_xcmplx_0(9,512) = k4_xcmplx_0(503) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r51_rm42,axiom,( k6_xcmplx_0(9,51) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r52_rm43,axiom,( k6_xcmplx_0(9,52) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r53_rm44,axiom,( k6_xcmplx_0(9,53) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r54_rm45,axiom,( k6_xcmplx_0(9,54) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r55_rm46,axiom,( k6_xcmplx_0(9,55) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r56_rm47,axiom,( k6_xcmplx_0(9,56) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r57_rm48,axiom,( k6_xcmplx_0(9,57) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r58_rm49,axiom,( k6_xcmplx_0(9,58) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r59_rm50,axiom,( k6_xcmplx_0(9,59) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r5_r4,axiom,( k6_xcmplx_0(9,5) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r60_rm51,axiom,( k6_xcmplx_0(9,60) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r61_rm52,axiom,( k6_xcmplx_0(9,61) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r62_rm53,axiom,( k6_xcmplx_0(9,62) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r63_rm54,axiom,( k6_xcmplx_0(9,63) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r6_r3,axiom,( k6_xcmplx_0(9,6) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r7_r2,axiom,( k6_xcmplx_0(9,7) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r81_rm72,axiom,( k6_xcmplx_0(9,81) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r8_r1,axiom,( k6_xcmplx_0(9,8) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__r9_r90_rm81,axiom,( k6_xcmplx_0(9,90) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__r9_r9_r0,axiom,( k6_xcmplx_0(9,9) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm15_r24,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(15)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm18_r27,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(18)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm1_r10,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(1)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm24_r33,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(24)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm27_r36,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(27)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm2_r11,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(2)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm36_r45,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(36)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm3_r12,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(3)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm4_r13,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(4)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm5_r14,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(5)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rm9_r18,axiom,( k6_xcmplx_0(9,k4_xcmplx_0(9)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn15d2_rn3d2,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(15,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn1d16_rn143d16,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(1,16)) = k7_xcmplx_0(143,16) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn1d3_rn26d3,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(1,3)) = k7_xcmplx_0(26,3) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn1d4_rn35d4,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(1,4)) = k7_xcmplx_0(35,4) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn1d6_rn53d6,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(1,6)) = k7_xcmplx_0(53,6) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn1d8_rn71d8,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(1,8)) = k7_xcmplx_0(71,8) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn1d9_rn80d9,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(1,9)) = k7_xcmplx_0(80,9) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn28d3_rnm1d3,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(28,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn35d3_rnm8d3,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn3d2_rn15d2,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(3,2)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn3d8_rn69d8,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(3,8)) = k7_xcmplx_0(69,8) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn5d2_rn13d2,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(5,2)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rn9d2_rn9d2,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(9,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rnm1d2_rn19d2,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(19,2) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rnm1d3_rn28d3,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(28,3) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rnm1d6_rn55d6,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(55,6) )).
fof(rqRealDiff__k6_xcmplx_0__r9_rnm3d2_rn21d2,axiom,( k6_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm100_r100_rm200,axiom,( k6_xcmplx_0(k4_xcmplx_0(100),100) = k4_xcmplx_0(200) )).
fof(rqRealDiff__k6_xcmplx_0__rm100_rm100_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(100),k4_xcmplx_0(100)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm101_rm100_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(101),k4_xcmplx_0(100)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm106_rnm53d6_rnm583d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(106),k7_xcmplx_0(k4_xcmplx_0(53),6)) = k7_xcmplx_0(k4_xcmplx_0(583),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm108_rm414_r306,axiom,( k6_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(414)) = 306 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r0_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),0) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r100_rm110,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),100) = k4_xcmplx_0(110) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r10_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),10) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r15_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),15) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r1_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),1) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r20_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),20) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r2_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),2) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r32_rm42,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),32) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r3_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),3) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r4_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),4) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r5_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),5) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_r7_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),7) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm100_r90,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(100)) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm10_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(10)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm11_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(11)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm12_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(12)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm13_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(13)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm14_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(14)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm16_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(16)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm17_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(17)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm18_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(18)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm1_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(1)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm21_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(21)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm22_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(22)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm24_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(24)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm25_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(25)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm27_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(27)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm28_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(28)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm2_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(2)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm30_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(30)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm32_r22,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(32)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm36_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(36)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm3_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(3)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm48_r38,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(48)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm4_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(4)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm54_r44,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(54)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm56_r46,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(56)) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm5_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(5)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm63_r53,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(63)) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm64_r54,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(64)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm6_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(6)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm8_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(8)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm90_r80,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(90)) = 80 )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm9_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(9)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn15d2_rnm35d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn1d2_rnm21d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn1d4_rnm41d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(41),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn1d9_rnm91d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(91),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn2d5_rnm52d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(52),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn3d2_rnm23d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn3d4_rnm43d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(43),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn5d16_rnm165d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(165),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn5d4_rnm45d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(45),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rn9d2_rnm29d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(29),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rnm15d2_rnm5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(15),2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rnm2d5_rnm48d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(48),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rnm5d16_rnm155d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(155),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rnm5d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rnm5d6_rnm55d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(5),6)) = k7_xcmplx_0(k4_xcmplx_0(55),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rnm5d8_rnm75d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(k4_xcmplx_0(75),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm10_rnm7d18_rnm173d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(k4_xcmplx_0(173),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r110_rm220,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),110) = k4_xcmplx_0(220) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r128_rm238,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),128) = k4_xcmplx_0(238) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r12_rm122,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),12) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r169_rm279,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),169) = k4_xcmplx_0(279) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r17_rm127,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),17) = k4_xcmplx_0(127) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r256_rm366,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),256) = k4_xcmplx_0(366) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r32_rm142,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),32) = k4_xcmplx_0(142) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r3_rm113,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),3) = k4_xcmplx_0(113) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r446_rm556,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),446) = k4_xcmplx_0(556) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_r64_rm174,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),64) = k4_xcmplx_0(174) )).
fof(rqRealDiff__k6_xcmplx_0__rm110_rm169_r59,axiom,( k6_xcmplx_0(k4_xcmplx_0(110),k4_xcmplx_0(169)) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm1_rm111,axiom,( k6_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(1)) = k4_xcmplx_0(111) )).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm8_rm104,axiom,( k6_xcmplx_0(k4_xcmplx_0(112),k4_xcmplx_0(8)) = k4_xcmplx_0(104) )).
fof(rqRealDiff__k6_xcmplx_0__rm119_rm119_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(119),k4_xcmplx_0(119)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm119_rm641_r522,axiom,( k6_xcmplx_0(k4_xcmplx_0(119),k4_xcmplx_0(641)) = 522 )).
fof(rqRealDiff__k6_xcmplx_0__rm119_rn121d5_rnm716d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(119),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(716),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm119_rn1d5_rnm596d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(119),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(596),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_r16_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),16) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_r1_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),1) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_r2_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),2) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_r3_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),3) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_r4_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),4) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm100_r89,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(100)) = 89 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm10_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(10)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm11_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(11)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm12_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(12)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm14_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(14)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm16_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(16)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm1_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(1)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm22_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(22)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm24_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(24)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm26_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(26)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm27_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(27)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm2_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(2)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm32_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(32)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm35_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(35)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm3_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(3)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm48_r37,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(48)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm4_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(4)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm512_r501,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(512)) = 501 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm56_r45,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(56)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm5_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(5)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm63_r52,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(63)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm64_r53,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(64)) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm6_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(6)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm7_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(7)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm8_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(8)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm9_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(9)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rnm11d3_rnm22d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(11),3)) = k7_xcmplx_0(k4_xcmplx_0(22),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rnm11d4_rnm33d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(11),4)) = k7_xcmplx_0(k4_xcmplx_0(33),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rnm149d5_rn94d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(149),5)) = k7_xcmplx_0(94,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rnm274d5_rn219d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(274),5)) = k7_xcmplx_0(219,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rnm53d6_rnm13d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(53),6)) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm11_rnm9d2_rnm13d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_r121_rm241,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),121) = k4_xcmplx_0(241) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_r1_rm121,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),1) = k4_xcmplx_0(121) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_rm120_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(120)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm120_rm12_rm108,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(12)) = k4_xcmplx_0(108) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_rm24_rm96,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(24)) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_rm54_rm66,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(54)) = k4_xcmplx_0(66) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_rm6_rm114,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),k4_xcmplx_0(6)) = k4_xcmplx_0(114) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_rn121d5_rnm721d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(721),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm120_rn1d5_rnm601d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(120),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(601),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm121_rm121_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(121),k4_xcmplx_0(121)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm121_rm128_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(121),k4_xcmplx_0(128)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm123_rm1_rm122,axiom,( k6_xcmplx_0(k4_xcmplx_0(123),k4_xcmplx_0(1)) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__rm126_rm216_r90,axiom,( k6_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(216)) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__rm127_r1_rm128,axiom,( k6_xcmplx_0(k4_xcmplx_0(127),1) = k4_xcmplx_0(128) )).
fof(rqRealDiff__k6_xcmplx_0__rm127_rm640_r513,axiom,( k6_xcmplx_0(k4_xcmplx_0(127),k4_xcmplx_0(640)) = 513 )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm119_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(119)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm128_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(128)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm12_rm116,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(12)) = k4_xcmplx_0(116) )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm1_rm127,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(1)) = k4_xcmplx_0(127) )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm357_r229,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(357)) = 229 )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm4_rm124,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(4)) = k4_xcmplx_0(124) )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm64_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(64)) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm68_rm60,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(68)) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm6_rm122,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(6)) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__rm128_rm8_rm120,axiom,( k6_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(8)) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),0) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r108_rm120,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),108) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r126_rm138,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),126) = k4_xcmplx_0(138) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r12_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),12) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r14_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),14) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r16_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),16) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r18_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),18) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r1_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),1) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r203_rm215,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),203) = k4_xcmplx_0(215) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r211_rm223,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),211) = k4_xcmplx_0(223) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r216_rm228,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),216) = k4_xcmplx_0(228) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r21_rm33,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),21) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r24_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),24) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r252_rm264,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),252) = k4_xcmplx_0(264) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r27_rm39,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),27) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r2_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),2) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r30_rm42,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),30) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r32_rm44,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),32) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r35_rm47,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),35) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r36_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),36) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r3_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),3) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r414_rm426,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),414) = k4_xcmplx_0(426) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r419_rm431,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),419) = k4_xcmplx_0(431) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r42_rm54,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),42) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r48_rm60,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),48) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r4_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),4) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r54_rm66,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),54) = k4_xcmplx_0(66) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r57_rm69,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),57) = k4_xcmplx_0(69) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r5_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),5) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r64_rm76,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),64) = k4_xcmplx_0(76) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r6_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),6) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r72_rm84,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),72) = k4_xcmplx_0(84) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r84_rm96,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),84) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_r8_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),8) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm10_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(10)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm11_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(11)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(12)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm13_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(13)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm14_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(14)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm16_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(16)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm18_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(18)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm1_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(1)) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm21_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(21)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm22_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(22)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm24_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(24)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm26_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(26)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm27_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(27)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm28_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(28)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm2_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(2)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm30_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(30)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm32_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(32)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm35_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(35)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm36_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(36)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm3_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(3)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm42_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(42)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm48_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(48)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm4_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(4)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm54_r42,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(54)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm56_r44,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(56)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm63_r51,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(63)) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm64_r52,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(64)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm6_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(6)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm8_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(8)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm9_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(9)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn1d2_rnm25d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn1d3_rnm37d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(37),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn1d4_rnm49d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(49),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn1d6_rnm73d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(73),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn27d4_rnm75d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(27,4)) = k7_xcmplx_0(k4_xcmplx_0(75),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn28d9_rnm136d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(28,9)) = k7_xcmplx_0(k4_xcmplx_0(136),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn35d3_rnm71d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(71),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn3d4_rnm51d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(51),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn7d18_rnm223d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(223),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rn7d9_rnm115d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(115),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm13d6_rnm59d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(13),6)) = k7_xcmplx_0(k4_xcmplx_0(59),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm19d6_rnm53d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(k4_xcmplx_0(53),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm1d12_rnm143d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(143),12) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm1d3_rnm35d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(35),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm1d4_rnm47d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(47),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm21d4_rnm27d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(21),4)) = k7_xcmplx_0(k4_xcmplx_0(27),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm2d5_rnm58d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(58),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm2d7_rnm82d7,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(2),7)) = k7_xcmplx_0(k4_xcmplx_0(82),7) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm35d3_rnm1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(35),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm71d3_rn35d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(71),3)) = k7_xcmplx_0(35,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm12_rnm7d18_rnm209d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(k4_xcmplx_0(209),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm135_rm256_r121,axiom,( k6_xcmplx_0(k4_xcmplx_0(135),k4_xcmplx_0(256)) = 121 )).
fof(rqRealDiff__k6_xcmplx_0__rm136_rm256_r120,axiom,( k6_xcmplx_0(k4_xcmplx_0(136),k4_xcmplx_0(256)) = 120 )).
fof(rqRealDiff__k6_xcmplx_0__rm138_rm54_rm84,axiom,( k6_xcmplx_0(k4_xcmplx_0(138),k4_xcmplx_0(54)) = k4_xcmplx_0(84) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r13_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),13) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r169_rm182,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),169) = k4_xcmplx_0(182) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r16_rm29,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),16) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r183_rm196,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),183) = k4_xcmplx_0(196) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r1_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),1) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r26_rm39,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),26) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r2_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),2) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r32_rm45,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),32) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r3_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),3) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r5_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),5) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r64_rm77,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),64) = k4_xcmplx_0(77) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r8_rm21,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),8) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_r91_rm104,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),91) = k4_xcmplx_0(104) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm10_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(10)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm11_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(11)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(12)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(13)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm14_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(14)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm169_r156,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(169)) = 156 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm16_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(16)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(1)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm26_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(26)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm2_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(2)) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm32_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(32)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm48_r35,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(48)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm4_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(4)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm54_r41,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(54)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm56_r43,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(56)) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm63_r50,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(63)) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm64_r51,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(64)) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm6_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(6)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm7_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(7)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm8_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(8)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm9_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(9)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rnm13d6_rnm65d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k7_xcmplx_0(k4_xcmplx_0(13),6)) = k7_xcmplx_0(k4_xcmplx_0(65),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm13_rnm22d15_rnm173d15,axiom,( k6_xcmplx_0(k4_xcmplx_0(13),k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(k4_xcmplx_0(173),15) )).
fof(rqRealDiff__k6_xcmplx_0__rm144_rm216_r72,axiom,( k6_xcmplx_0(k4_xcmplx_0(144),k4_xcmplx_0(216)) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__rm146_r110_rm256,axiom,( k6_xcmplx_0(k4_xcmplx_0(146),110) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_r12_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),12) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_r14_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),14) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_r1_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),1) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_r32_rm46,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),32) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_r8_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),8) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_r9_rm23,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),9) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm10_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(10)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm13_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(13)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm14_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(14)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm16_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(16)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm1_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(1)) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm24_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(24)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm256_r242,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(256)) = 242 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm2_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(2)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm30_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(30)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm32_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(32)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm36_r22,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(36)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm3_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(3)) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm42_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(42)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm48_r34,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(48)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm4_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(4)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm54_r40,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(54)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm56_r42,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(56)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm63_r49,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(63)) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm64_r50,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(64)) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm6_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(6)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm7_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(7)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm8_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(8)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn1d3_rnm43d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(43),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn21d2_rnm49d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(21,2)) = k7_xcmplx_0(k4_xcmplx_0(49),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn28d9_rnm154d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(28,9)) = k7_xcmplx_0(k4_xcmplx_0(154),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn2d3_rnm44d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(44),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn35d3_rnm77d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(77),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn7d18_rnm259d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(259),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn7d2_rnm35d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn7d6_rnm91d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(7,6)) = k7_xcmplx_0(k4_xcmplx_0(91),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn7d9_rnm133d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(133),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rn8d3_rnm50d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(50),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm119d9_rnm7d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(119),9)) = k7_xcmplx_0(k4_xcmplx_0(7),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm133d18_rnm119d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(133),18)) = k7_xcmplx_0(k4_xcmplx_0(119),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm175d18_rnm77d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(175),18)) = k7_xcmplx_0(k4_xcmplx_0(77),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm1d25_rnm349d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(k4_xcmplx_0(349),25) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm1d2_rnm27d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(27),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm1d3_rnm41d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(41),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm21d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm245d18_rnm7d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(245),18)) = k7_xcmplx_0(k4_xcmplx_0(7),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm77d6_rnm7d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(77),6)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm7d18_rnm245d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(k4_xcmplx_0(245),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm7d6_rnm77d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(7),6)) = k7_xcmplx_0(k4_xcmplx_0(77),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm7d8_rnm105d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(k4_xcmplx_0(105),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm91d9_rnm35d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(91),9)) = k7_xcmplx_0(k4_xcmplx_0(35),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm14_rnm98d9_rnm28d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(98),9)) = k7_xcmplx_0(k4_xcmplx_0(28),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r10_rm161,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),10) = k4_xcmplx_0(161) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r151_rm302,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),151) = k4_xcmplx_0(302) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r1_rm152,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),1) = k4_xcmplx_0(152) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r2_rm153,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),2) = k4_xcmplx_0(153) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r3_rm154,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),3) = k4_xcmplx_0(154) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r4_rm155,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),4) = k4_xcmplx_0(155) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r8_rm159,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),8) = k4_xcmplx_0(159) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_r9_rm160,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),9) = k4_xcmplx_0(160) )).
fof(rqRealDiff__k6_xcmplx_0__rm151_rm151_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(151),k4_xcmplx_0(151)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm154_rm151_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(154),k4_xcmplx_0(151)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm156_r13_rm169,axiom,( k6_xcmplx_0(k4_xcmplx_0(156),13) = k4_xcmplx_0(169) )).
fof(rqRealDiff__k6_xcmplx_0__rm156_rm169_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(156),k4_xcmplx_0(169)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm159_rm151_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(159),k4_xcmplx_0(151)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r0_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),0) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r15_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),15) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r16_rm31,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),16) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r1_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),1) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r3_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),3) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r5_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),5) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r7_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),7) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_r8_rm23,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),8) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm15_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(15)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm16_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(16)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm1_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(1)) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm2_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(2)) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm32_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(32)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm3_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(3)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm48_r33,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(48)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm4_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(4)) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm54_r39,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(54)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm56_r41,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(56)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm5_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(5)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm63_r48,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(63)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm64_r49,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(64)) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm8_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(8)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rn1d2_rnm31d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(31),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rn2d3_rnm47d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(47),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rn35d3_rnm80d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(80),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rn5d16_rnm245d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(245),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rnm15d32_rnm465d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(k4_xcmplx_0(15),32)) = k7_xcmplx_0(k4_xcmplx_0(465),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rnm3d2_rnm27d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(27),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm15_rnm5d16_rnm235d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(235),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm160_rm160_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(160),k4_xcmplx_0(160)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm162_rm162_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(162),k4_xcmplx_0(162)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm164_rm1_rm163,axiom,( k6_xcmplx_0(k4_xcmplx_0(164),k4_xcmplx_0(1)) = k4_xcmplx_0(163) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_r110_rm279,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),110) = k4_xcmplx_0(279) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_r13_rm182,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),13) = k4_xcmplx_0(182) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_r169_rm338,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),169) = k4_xcmplx_0(338) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_r256_rm425,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),256) = k4_xcmplx_0(425) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_r32_rm201,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),32) = k4_xcmplx_0(201) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_r3_rm172,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),3) = k4_xcmplx_0(172) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_r64_rm233,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),64) = k4_xcmplx_0(233) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_rm13_rm156,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),k4_xcmplx_0(13)) = k4_xcmplx_0(156) )).
fof(rqRealDiff__k6_xcmplx_0__rm169_rm169_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),k4_xcmplx_0(169)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm169_rm44_rm125,axiom,( k6_xcmplx_0(k4_xcmplx_0(169),k4_xcmplx_0(44)) = k4_xcmplx_0(125) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r0_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),0) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r16_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),16) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r1_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),1) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r21_rm37,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),21) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r24_rm40,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),24) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r27_rm43,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),27) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r2_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),2) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r32_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),32) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r3_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),3) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r48_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),48) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r4_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),4) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r5_rm21,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),5) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r64_rm80,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),64) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r68_rm84,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),68) = k4_xcmplx_0(84) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r7_rm23,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),7) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r81_rm97,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),81) = k4_xcmplx_0(97) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r84_rm100,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),84) = k4_xcmplx_0(100) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_r8_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),8) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm12_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(12)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm13_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(13)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm14_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(14)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm15_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(15)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm16_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm183_r167,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(183)) = 167 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm1_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(1)) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm24_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(24)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm26_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(26)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm2_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(2)) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm32_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(32)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm34_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(34)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm35_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(35)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm366_r350,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(366)) = 350 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm36_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(36)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm3_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(3)) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm42_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(42)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm48_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(48)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm4_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(4)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm54_r38,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(54)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm56_r40,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(56)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm63_r47,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(63)) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm64_r48,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(64)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm6_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(6)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rm8_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(8)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn1d16_rnm257d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(257),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn1d2_rnm33d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(33),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn1d4_rnm65d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(65),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn1d8_rnm129d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(129),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn2d3_rnm50d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(50),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn3d32_rnm515d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(3,32)) = k7_xcmplx_0(k4_xcmplx_0(515),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn3d4_rnm67d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(67),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rn3d8_rnm131d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(131),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm1d16_rnm255d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(255),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm1d2_rnm31d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(31),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm1d4_rnm63d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(63),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm1d8_rnm127d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(127),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm255d16_rnm1d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(255),16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm3d16_rnm253d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(253),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm3d2_rnm29d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(29),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm3d8_rnm125d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(125),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm44d3_rnm4d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(44),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm46d3_rnm2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(46),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm49d3_rn1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(49),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm16_rnm50d3_rn2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(50),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm172_rm169_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(172),k4_xcmplx_0(169)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm17_r1_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),1) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm12_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(12)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm16_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(16)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm17_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(17)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm1_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(1)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm32_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(32)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm48_r31,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(48)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm54_r37,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(54)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm56_r39,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(56)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm63_r46,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(63)) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rm64_r47,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(64)) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rnm1d2_rnm33d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(33),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm17_rnm3d2_rnm31d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(17),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(31),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm182_rm169_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(182),k4_xcmplx_0(169)) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm183_rm26_rm157,axiom,( k6_xcmplx_0(k4_xcmplx_0(183),k4_xcmplx_0(26)) = k4_xcmplx_0(157) )).
fof(rqRealDiff__k6_xcmplx_0__rm183_rm641_r458,axiom,( k6_xcmplx_0(k4_xcmplx_0(183),k4_xcmplx_0(641)) = 458 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r0_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),0) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r12_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),12) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r18_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),18) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r1_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),1) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r24_rm42,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),24) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r27_rm45,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),27) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r32_rm50,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),32) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r8_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),8) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_r9_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),9) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm12_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(12)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm16_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(16)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm18_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(18)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm1_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(1)) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm216_r198,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(216)) = 198 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm24_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(24)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm27_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(27)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm28_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(28)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm30_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(30)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm32_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(32)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm36_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(36)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm3_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(3)) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm42_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(42)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm48_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(48)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm54_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(54)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm56_r38,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(56)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm63_r45,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(63)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm64_r46,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(64)) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm6_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(6)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm9_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(9)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rn1d3_rnm55d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(55),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rn1d6_rnm109d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(109),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rnm1d18_rnm323d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(323),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rnm2d5_rnm88d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(88),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rnm35d2_rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(k4_xcmplx_0(35),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rnm3d5_rnm87d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(k4_xcmplx_0(87),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rnm3d7_rnm123d7,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(k4_xcmplx_0(3),7)) = k7_xcmplx_0(k4_xcmplx_0(123),7) )).
fof(rqRealDiff__k6_xcmplx_0__rm18_rnm9d5_rnm81d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(k4_xcmplx_0(9),5)) = k7_xcmplx_0(k4_xcmplx_0(81),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm191_r1_rm192,axiom,( k6_xcmplx_0(k4_xcmplx_0(191),1) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__rm192_r192_rm384,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),192) = k4_xcmplx_0(384) )).
fof(rqRealDiff__k6_xcmplx_0__rm192_r1_rm193,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),1) = k4_xcmplx_0(193) )).
fof(rqRealDiff__k6_xcmplx_0__rm192_r384_rm576,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),384) = k4_xcmplx_0(576) )).
fof(rqRealDiff__k6_xcmplx_0__rm192_r576_rm768,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),576) = k4_xcmplx_0(768) )).
fof(rqRealDiff__k6_xcmplx_0__rm192_r96_rm288,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),96) = k4_xcmplx_0(288) )).
fof(rqRealDiff__k6_xcmplx_0__rm192_rm192_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),k4_xcmplx_0(192)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm192_rm1_rm191,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),k4_xcmplx_0(1)) = k4_xcmplx_0(191) )).
fof(rqRealDiff__k6_xcmplx_0__rm192_rm288_r96,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),k4_xcmplx_0(288)) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__rm192_rm384_r192,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),k4_xcmplx_0(384)) = 192 )).
fof(rqRealDiff__k6_xcmplx_0__rm192_rm576_r384,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),k4_xcmplx_0(576)) = 384 )).
fof(rqRealDiff__k6_xcmplx_0__rm192_rm96_rm96,axiom,( k6_xcmplx_0(k4_xcmplx_0(192),k4_xcmplx_0(96)) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__rm197_rm1_rm196,axiom,( k6_xcmplx_0(k4_xcmplx_0(197),k4_xcmplx_0(1)) = k4_xcmplx_0(196) )).
fof(rqRealDiff__k6_xcmplx_0__rm19_r12_rm31,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),12) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__rm19_r13_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),13) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm19_r5_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),5) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm16_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(16)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm19_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(19)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm32_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(32)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm3_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(3)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm48_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(48)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm56_r37,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(56)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm63_r44,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(63)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm64_r45,axiom,( k6_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(64)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1r0_crm1rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1rm1_crm1r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr2r0_crm2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr2rm1_crm2r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1))) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr3r0_crm3rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1r0_cr1rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1rm1_cr1r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1))) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm2r0_cr2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm3r0_cr3rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crn1d2r0_crnm1d2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crn1d2rn1d2_crnm1d2rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crn1d2rnm1d2_crnm1d2rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crn27d2r0_crnm27d2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crn3d2r0_crnm3d2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crnm1d2r0_crn1d2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crnm1d2rn1d2_crn1d2rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crnm1d2rnm1d2_crn1d2rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crnm27d2r0_crn27d2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_crnm3d2r0_crn3d2rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),0) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r100_rm101,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),100) = k4_xcmplx_0(101) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r10_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),10) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r11_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),11) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r121_rm122,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),121) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r128_rm129,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),128) = k4_xcmplx_0(129) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r12_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),12) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r13_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),13) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r14_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),14) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r15_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),15) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r16_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),16) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r17_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),17) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r18_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),18) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),1) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r20_rm21,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),20) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r21_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),21) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r23_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),23) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r242_rm243,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),242) = k4_xcmplx_0(243) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r24_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),24) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r256_rm257,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),256) = k4_xcmplx_0(257) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r257_rm258,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),257) = k4_xcmplx_0(258) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r25_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),25) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r27_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),27) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r28_rm29,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),28) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),2) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r30_rm31,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),30) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r320_rm321,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),320) = k4_xcmplx_0(321) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r32_rm33,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),32) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r33_rm34,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),33) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r34_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),34) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r35_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),35) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r36_rm37,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),36) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r39_rm40,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),39) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),3) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r48_rm49,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),48) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r49_rm50,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),49) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r4_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),4) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r54_rm55,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),54) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r5_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),5) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r640_rm641,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),640) = k4_xcmplx_0(641) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r641_rm642,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),641) = k4_xcmplx_0(642) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r64_rm65,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),64) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r6_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),6) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r73_rm74,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),73) = k4_xcmplx_0(74) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r78_rm79,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),78) = k4_xcmplx_0(79) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r7_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),7) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r800_rm801,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),800) = k4_xcmplx_0(801) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r81_rm82,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),81) = k4_xcmplx_0(82) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r89_rm90,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),89) = k4_xcmplx_0(90) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r8_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),8) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r90_rm91,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),90) = k4_xcmplx_0(91) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r91_rm92,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),91) = k4_xcmplx_0(92) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r99_rm100,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),99) = k4_xcmplx_0(100) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_r9_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),9) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm100_r99,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(100)) = 99 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm10_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(10)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm11_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(11)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm121_r120,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(121)) = 120 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm128_r127,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(128)) = 127 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm12_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(12)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm14_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(14)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm15_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(15)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm16_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(16)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm17_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(17)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm18_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(18)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm216_r215,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(216)) = 215 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm21_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(21)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm22_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(22)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm24_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(24)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm256_r255,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(256)) = 255 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm257_r256,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(257)) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm25_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(25)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm27_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(27)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm28_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(28)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm29_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(29)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm30_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(30)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm32_r31,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(32)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm33_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(33)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm343_r342,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(343)) = 342 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm344_r343,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(344)) = 343 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm345_r344,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(345)) = 344 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm346_r345,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(346)) = 345 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm347_r346,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(347)) = 346 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm348_r347,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(348)) = 347 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm349_r348,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(349)) = 348 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm350_r349,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(350)) = 349 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm351_r350,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(351)) = 350 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm352_r351,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(352)) = 351 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm353_r352,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(353)) = 352 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm354_r353,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(354)) = 353 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm355_r354,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(355)) = 354 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm356_r355,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(356)) = 355 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm357_r356,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(357)) = 356 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm358_r357,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(358)) = 357 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm359_r358,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(359)) = 358 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm35_r34,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(35)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm360_r359,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(360)) = 359 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm361_r360,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(361)) = 360 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm362_r361,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(362)) = 361 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm363_r362,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(363)) = 362 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm364_r363,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(364)) = 363 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm365_r364,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(365)) = 364 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm36_r35,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(36)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm39_r38,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(39)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm414_r413,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(414)) = 413 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm419_r418,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(419)) = 418 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm45_r44,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(45)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm48_r47,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(48)) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(4)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm54_r53,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(54)) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm57_r56,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(57)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm5_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(5)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm63_r62,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(63)) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm640_r639,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(640)) = 639 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm641_r640,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(641)) = 640 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm64_r63,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(64)) = 63 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm6_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(6)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm768_r767,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(768)) = 767 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm7_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(7)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm81_r80,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(81)) = 80 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm8_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(8)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm90_r89,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(90)) = 89 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm91_r90,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(91)) = 90 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm9_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(9)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn119d120_rnm239d120,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(119,120)) = k7_xcmplx_0(k4_xcmplx_0(239),120) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn119d240_rnm359d240,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(119,240)) = k7_xcmplx_0(k4_xcmplx_0(359),240) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn11d10_rnm21d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(11,10)) = k7_xcmplx_0(k4_xcmplx_0(21),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn121d40_rnm161d40,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(121,40)) = k7_xcmplx_0(k4_xcmplx_0(161),40) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn121d4_rnm125d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(121,4)) = k7_xcmplx_0(k4_xcmplx_0(125),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn121d5_rnm126d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(126),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn15d2_rnm17d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d10_rnm11d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(11),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d120_rnm121d120,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,120)) = k7_xcmplx_0(k4_xcmplx_0(121),120) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d12_rnm13d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,12)) = k7_xcmplx_0(k4_xcmplx_0(13),12) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d14_rnm15d14,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,14)) = k7_xcmplx_0(k4_xcmplx_0(15),14) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d16_rnm17d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(17),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d18_rnm19d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(19),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d240_rnm241d240,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,240)) = k7_xcmplx_0(k4_xcmplx_0(241),240) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d25_rnm26d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,25)) = k7_xcmplx_0(k4_xcmplx_0(26),25) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d27_rnm28d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(28),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d30_rnm31d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,30)) = k7_xcmplx_0(k4_xcmplx_0(31),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d32_rnm33d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,32)) = k7_xcmplx_0(k4_xcmplx_0(33),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d36_rnm37d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,36)) = k7_xcmplx_0(k4_xcmplx_0(37),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d40_rnm41d40,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,40)) = k7_xcmplx_0(k4_xcmplx_0(41),40) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d48_rnm49d48,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,48)) = k7_xcmplx_0(k4_xcmplx_0(49),48) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d4_rnm5d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d5_rnm6d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d6_rnm7d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d7_rnm8d7,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,7)) = k7_xcmplx_0(k4_xcmplx_0(8),7) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d80_rnm81d80,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(81),80) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d8_rnm9d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d9_rnm10d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(10),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn21d2_rnm23d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(21,2)) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn27d2_rnm29d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(27,2)) = k7_xcmplx_0(k4_xcmplx_0(29),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn27d4_rnm31d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(27,4)) = k7_xcmplx_0(k4_xcmplx_0(31),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn28d9_rnm37d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(28,9)) = k7_xcmplx_0(k4_xcmplx_0(37),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn2d27_rnm29d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(29),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn2d3_rnm5d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn2d5_rnm7d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(7),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn31d24_rnm55d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(31,24)) = k7_xcmplx_0(k4_xcmplx_0(55),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn35d3_rnm38d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(38),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn35d64_rnm99d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(35,64)) = k7_xcmplx_0(k4_xcmplx_0(99),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn3d16_rnm19d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(19),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn3d256_rnm259d256,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,256)) = k7_xcmplx_0(k4_xcmplx_0(259),256) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn3d2_rnm5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn3d32_rnm35d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,32)) = k7_xcmplx_0(k4_xcmplx_0(35),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn3d4_rnm7d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn3d8_rnm11d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(11),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn4d3_rnm7d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn4d9_rnm13d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(13),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn59d30_rnm89d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(59,30)) = k7_xcmplx_0(k4_xcmplx_0(89),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn59d60_rnm119d60,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(59,60)) = k7_xcmplx_0(k4_xcmplx_0(119),60) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn5d16_rnm21d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(21),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn5d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn5d3_rnm8d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn5d4_rnm9d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn5d8_rnm13d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(5,8)) = k7_xcmplx_0(k4_xcmplx_0(13),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn7d18_rnm25d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(25),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn7d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn7d64_rnm71d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(7,64)) = k7_xcmplx_0(k4_xcmplx_0(71),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn7d8_rnm15d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(7,8)) = k7_xcmplx_0(k4_xcmplx_0(15),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn7d9_rnm16d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(16),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn8d3_rnm11d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn9d2_rnm11d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm11d10_rn1d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(11),10)) = k7_xcmplx_0(1,10) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm11d3_rn8d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(11),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm11d4_rn7d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(11),4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm121d5_rn116d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(121),5)) = k7_xcmplx_0(116,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm13d6_rn7d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(13),6)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm149d5_rn144d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(149),5)) = k7_xcmplx_0(144,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm15d32_rnm17d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(15),32)) = k7_xcmplx_0(k4_xcmplx_0(17),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm15d4_rn11d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(15),4)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm19d10_rn9d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(19),10)) = k7_xcmplx_0(9,10) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm19d6_rn13d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(13,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d10_rnm9d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(9),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d12_rnm11d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(11),12) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d14_rnm13d14,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(13),14) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d16_rnm15d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(15),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d18_rnm17d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(17),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d24_rnm23d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(23),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d27_rnm26d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(26),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d32_rnm31d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(31),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d42_rnm41d42,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(k4_xcmplx_0(41),42) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d48_rnm47d48,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),48)) = k7_xcmplx_0(k4_xcmplx_0(47),48) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d5_rnm4d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d64_rnm63d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(63),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d6_rnm5d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d7_rnm6d7,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(k4_xcmplx_0(6),7) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d80_rnm79d80,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(79),80) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d8_rnm7d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d9_rnm8d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(k4_xcmplx_0(8),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm21d4_rn17d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(21),4)) = k7_xcmplx_0(17,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm21d64_rnm43d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(21),64)) = k7_xcmplx_0(k4_xcmplx_0(43),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm21d8_rn13d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(21),8)) = k7_xcmplx_0(13,8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm22d15_rn7d15,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(7,15) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm24d25_rnm1d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(24),25)) = k7_xcmplx_0(k4_xcmplx_0(1),25) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm24d5_rn19d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(24),5)) = k7_xcmplx_0(19,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm25d2_rn23d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(25),2)) = k7_xcmplx_0(23,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm25d36_rnm11d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(k4_xcmplx_0(11),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm25d3_rn22d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(25),3)) = k7_xcmplx_0(22,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm274d5_rn269d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(274),5)) = k7_xcmplx_0(269,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm27d4_rn23d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm29d36_rnm7d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(29),36)) = k7_xcmplx_0(k4_xcmplx_0(7),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d27_rnm25d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(k4_xcmplx_0(25),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d5_rnm3d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d9_rnm7d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(2),9)) = k7_xcmplx_0(k4_xcmplx_0(7),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm319d10_rn309d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(319),10)) = k7_xcmplx_0(309,10) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm34d3_rn31d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(34),3)) = k7_xcmplx_0(31,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm35d36_rnm1d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(35),36)) = k7_xcmplx_0(k4_xcmplx_0(1),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm35d3_rn32d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(35),3)) = k7_xcmplx_0(32,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm35d64_rnm29d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(35),64)) = k7_xcmplx_0(k4_xcmplx_0(29),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm35d8_rn27d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(35),8)) = k7_xcmplx_0(27,8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d16_rnm13d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(13),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d256_rnm253d256,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(k4_xcmplx_0(253),256) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d5_rnm2d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d8_rnm5d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm41d6_rn35d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(41),6)) = k7_xcmplx_0(35,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm49d8_rn41d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(49),8)) = k7_xcmplx_0(41,8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm4d5_rnm1d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm4d9_rnm5d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(4),9)) = k7_xcmplx_0(k4_xcmplx_0(5),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm53d6_rn47d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(53),6)) = k7_xcmplx_0(47,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm55d2_rn53d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(55),2)) = k7_xcmplx_0(53,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d16_rnm11d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(11),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d2_rn3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d3_rn2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d4_rn1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d6_rnm1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(5),6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm5d8_rnm3d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm641d25_rn616d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(641),25)) = k7_xcmplx_0(616,25) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm641d5_rn636d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(641),5)) = k7_xcmplx_0(636,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm6d5_rn1d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(6),5)) = k7_xcmplx_0(1,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d18_rnm11d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(k4_xcmplx_0(11),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d2_rn5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d4_rn3d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d5_rn2d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(7),5)) = k7_xcmplx_0(2,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d64_rnm57d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(7),64)) = k7_xcmplx_0(k4_xcmplx_0(57),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d6_rn1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(7),6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d8_rnm1d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm8d3_rn5d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm8d9_rnm1d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(8),9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm9d2_rn7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm9d4_rn5d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(9),4)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm9d5_rn4d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(9),5)) = k7_xcmplx_0(4,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm9d8_rn1d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(9),8)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rm201_rm169_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(201),k4_xcmplx_0(169)) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm203_rm419_r216,axiom,( k6_xcmplx_0(k4_xcmplx_0(203),k4_xcmplx_0(419)) = 216 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_r16_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),16) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_r1_rm21,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),1) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_r32_rm52,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),32) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_r3_rm23,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),3) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_r4_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),4) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_r8_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),8) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm10_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(10)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm16_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(16)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm20_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(20)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm21_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(21)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm24_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(24)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm32_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(32)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm3_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(3)) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm48_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(48)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm4_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(4)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm56_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(56)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm5_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(5)) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm63_r43,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(63)) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm64_r44,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(64)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__rm20_rm6_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(6)) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm215_rm54_rm161,axiom,( k6_xcmplx_0(k4_xcmplx_0(215),k4_xcmplx_0(54)) = k4_xcmplx_0(161) )).
fof(rqRealDiff__k6_xcmplx_0__rm216_rm216_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(216)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm216_rm419_r203,axiom,( k6_xcmplx_0(k4_xcmplx_0(216),k4_xcmplx_0(419)) = 203 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_r1_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),1) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_r21_rm42,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),21) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_r2_rm23,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),2) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_r3_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),3) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm10_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(10)) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm11_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(11)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm18_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(18)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm21_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(21)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm22_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(22)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm24_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(24)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm32_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(32)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm48_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(48)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm4_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(4)) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm56_r35,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(56)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm57_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(57)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm63_r42,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(63)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rm64_r43,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k4_xcmplx_0(64)) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rn1d2_rnm43d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(43),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rnm13d10_rnm197d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k7_xcmplx_0(k4_xcmplx_0(13),10)) = k7_xcmplx_0(k4_xcmplx_0(197),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm21_rnm7d4_rnm77d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(21),k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(k4_xcmplx_0(77),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm220_rm110_rm110,axiom,( k6_xcmplx_0(k4_xcmplx_0(220),k4_xcmplx_0(110)) = k4_xcmplx_0(110) )).
fof(rqRealDiff__k6_xcmplx_0__rm223_rm54_rm169,axiom,( k6_xcmplx_0(k4_xcmplx_0(223),k4_xcmplx_0(54)) = k4_xcmplx_0(169) )).
fof(rqRealDiff__k6_xcmplx_0__rm224_rm256_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(224),k4_xcmplx_0(256)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm225_rm45_rm180,axiom,( k6_xcmplx_0(k4_xcmplx_0(225),k4_xcmplx_0(45)) = k4_xcmplx_0(180) )).
fof(rqRealDiff__k6_xcmplx_0__rm228_rm54_rm174,axiom,( k6_xcmplx_0(k4_xcmplx_0(228),k4_xcmplx_0(54)) = k4_xcmplx_0(174) )).
fof(rqRealDiff__k6_xcmplx_0__rm22_r2_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),2) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm21_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(21)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm24_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(24)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm32_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(32)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm48_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(48)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm56_r34,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(56)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm57_r35,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(57)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm63_r41,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(63)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm64_r42,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(64)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm72_r50,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(72)) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm8_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(8)) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm233_rm169_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(233),k4_xcmplx_0(169)) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm236_rm236_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(236),k4_xcmplx_0(236)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm23_r25_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),25) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm23_r2_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),2) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm23_r3_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),3) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm16_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(16)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm18_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(18)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm23_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(23)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm32_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(32)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm48_r25,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(48)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm4_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(4)) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm56_r33,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(56)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm63_r40,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(63)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm64_r41,axiom,( k6_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(64)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__rm240_rm240_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(240),k4_xcmplx_0(240)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm240_rm256_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(240),k4_xcmplx_0(256)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm241_rm241_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(241),k4_xcmplx_0(241)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm242_rm242_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(242),k4_xcmplx_0(242)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm243_rm243_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(243),k4_xcmplx_0(243)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm248_rm256_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(248),k4_xcmplx_0(256)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r0_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),0) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r10_rm34,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),10) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r12_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),12) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r16_rm40,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),16) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r1_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),1) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r24_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),24) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r2_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),2) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r32_rm56,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),32) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r35_rm59,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),35) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r3_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),3) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r4_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),4) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r6_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),6) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r8_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),8) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_r9_rm33,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),9) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm12_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(12)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm16_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(16)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm18_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(18)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm1_rm23,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(1)) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm24_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(24)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm256_r232,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(256)) = 232 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm27_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(27)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm28_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(28)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm2_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(2)) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm30_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(30)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm32_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(32)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm36_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(36)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm42_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(42)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm48_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(48)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm56_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(56)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm5_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(5)) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm63_r39,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(63)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm64_r40,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(64)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm6_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(6)) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm84_r60,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(84)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rm8_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(8)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rn121d5_rnm241d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(241),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rn1d3_rnm73d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(73),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rn1d5_rnm121d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(121),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rn1d6_rnm145d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(145),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rn35d3_rnm107d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(107),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rn8d3_rnm80d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(80),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rnm121d5_rn1d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(121),5)) = k7_xcmplx_0(1,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rnm19d6_rnm125d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(k4_xcmplx_0(125),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rnm1d24_rnm575d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(575),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rnm1d3_rnm71d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(71),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rnm1d5_rnm119d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(119),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm24_rnm24d5_rnm96d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(24),5)) = k7_xcmplx_0(k4_xcmplx_0(96),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm252_rm414_r162,axiom,( k6_xcmplx_0(k4_xcmplx_0(252),k4_xcmplx_0(414)) = 162 )).
fof(rqRealDiff__k6_xcmplx_0__rm255_r1_rm256,axiom,( k6_xcmplx_0(k4_xcmplx_0(255),1) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__rm255_rm255_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(255),k4_xcmplx_0(255)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm255_rm256_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(255),k4_xcmplx_0(256)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm256_r110_rm366,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),110) = k4_xcmplx_0(366) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_r1_rm257,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),1) = k4_xcmplx_0(257) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_r256_rm512,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),256) = k4_xcmplx_0(512) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_r512_rm768,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),512) = k4_xcmplx_0(768) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_rm12_rm244,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),k4_xcmplx_0(12)) = k4_xcmplx_0(244) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_rm169_rm87,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),k4_xcmplx_0(169)) = k4_xcmplx_0(87) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_rm1_rm255,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),k4_xcmplx_0(1)) = k4_xcmplx_0(255) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_rm256_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),k4_xcmplx_0(256)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm256_rm64_rm192,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),k4_xcmplx_0(64)) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_rm68_rm188,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),k4_xcmplx_0(68)) = k4_xcmplx_0(188) )).
fof(rqRealDiff__k6_xcmplx_0__rm256_rm768_r512,axiom,( k6_xcmplx_0(k4_xcmplx_0(256),k4_xcmplx_0(768)) = 512 )).
fof(rqRealDiff__k6_xcmplx_0__rm257_r1_rm258,axiom,( k6_xcmplx_0(k4_xcmplx_0(257),1) = k4_xcmplx_0(258) )).
fof(rqRealDiff__k6_xcmplx_0__rm257_rm1_rm256,axiom,( k6_xcmplx_0(k4_xcmplx_0(257),k4_xcmplx_0(1)) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__rm257_rm257_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(257),k4_xcmplx_0(257)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_r25_rm50,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),25) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_r2_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),2) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm1_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(1)) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm25_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(25)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm27_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(27)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm28_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(28)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm32_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(32)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm48_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(48)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm56_r31,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(56)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm5_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(5)) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm63_r38,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(63)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rm64_r39,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(64)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rn2d3_rnm77d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(77),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rnm19d10_rnm231d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(19),10)) = k7_xcmplx_0(k4_xcmplx_0(231),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rnm1d25_rnm624d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(k4_xcmplx_0(624),25) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rnm1d2_rnm49d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(49),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm25_rnm5d2_rnm45d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(45),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm264_rm54_rm210,axiom,( k6_xcmplx_0(k4_xcmplx_0(264),k4_xcmplx_0(54)) = k4_xcmplx_0(210) )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm13_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(13)) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm1_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(1)) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm26_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(26)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm27_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(27)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm32_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(32)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm48_r22,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(48)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm56_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(56)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm63_r37,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(63)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm64_r38,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(64)) = 38 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rm72_r46,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(72)) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__rm26_rnm13d6_rnm143d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(k4_xcmplx_0(13),6)) = k7_xcmplx_0(k4_xcmplx_0(143),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm275_rnm55d2_rnm495d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(275),k7_xcmplx_0(k4_xcmplx_0(55),2)) = k7_xcmplx_0(k4_xcmplx_0(495),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm279_rm169_rm110,axiom,( k6_xcmplx_0(k4_xcmplx_0(279),k4_xcmplx_0(169)) = k4_xcmplx_0(110) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r12_rm39,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),12) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r1_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),1) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r27_rm54,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),27) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r2_rm29,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),2) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r3_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),3) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r48_rm75,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),48) = k4_xcmplx_0(75) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r54_rm81,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),54) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r64_rm91,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),64) = k4_xcmplx_0(91) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r81_rm108,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),81) = k4_xcmplx_0(108) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r84_rm111,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),84) = k4_xcmplx_0(111) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_r9_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),9) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm108_r81,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(108)) = 81 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm16_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(16)) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm18_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(18)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm1_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(1)) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm25_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(25)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm27_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm2_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(2)) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm32_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(32)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm36_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(36)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm3_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(3)) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm48_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(48)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm54_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(54)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm56_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(56)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm63_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(63)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm64_r37,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(64)) = 37 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm81_r54,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(81)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rm9_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(9)) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rn1d2_rnm55d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(55),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rn1d3_rnm82d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(82),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rn2d3_rnm83d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(83),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rn35d3_rnm116d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(116),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rn8d3_rnm89d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(89),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rnm1d2_rnm53d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(53),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rnm1d3_rnm80d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(80),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm27_rnm9d10_rnm261d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(k4_xcmplx_0(9),10)) = k7_xcmplx_0(k4_xcmplx_0(261),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm288_rm288_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(288)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm288_rm384_r96,axiom,( k6_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(384)) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__rm288_rm576_r288,axiom,( k6_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(576)) = 288 )).
fof(rqRealDiff__k6_xcmplx_0__rm288_rm672_r384,axiom,( k6_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(672)) = 384 )).
fof(rqRealDiff__k6_xcmplx_0__rm288_rm768_r480,axiom,( k6_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(768)) = 480 )).
fof(rqRealDiff__k6_xcmplx_0__rm288_rm96_rm192,axiom,( k6_xcmplx_0(k4_xcmplx_0(288),k4_xcmplx_0(96)) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__rm289_rm1_rm288,axiom,( k6_xcmplx_0(k4_xcmplx_0(289),k4_xcmplx_0(1)) = k4_xcmplx_0(288) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r16_rm44,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),16) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r1_rm29,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),1) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r21_rm49,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),21) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r27_rm55,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),27) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r3_rm31,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),3) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r4_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),4) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r64_rm92,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),64) = k4_xcmplx_0(92) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_r84_rm112,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),84) = k4_xcmplx_0(112) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm1_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(1)) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm21_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(21)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm27_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(27)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm28_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(28)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm30_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(30)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm32_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(32)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm48_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(48)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm4_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(4)) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm56_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(56)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm63_r35,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(63)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm64_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(64)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm72_r44,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(72)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm84_r56,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(84)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rn1d2_rnm57d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(57),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rn2d3_rnm86d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(86),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rn35d2_rnm91d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(35,2)) = k7_xcmplx_0(k4_xcmplx_0(91),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rn3d4_rnm115d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(115),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rnm1d10_rnm279d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(279),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rnm21d2_rnm35d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rnm88d3_rn4d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(k4_xcmplx_0(88),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm28_rnm92d3_rn8d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(k4_xcmplx_0(92),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm29_r3_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),3) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm1_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(1)) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm243_r214,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(243)) = 214 )).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm32_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(32)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm48_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(48)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm56_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(56)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm63_r34,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(63)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm64_r35,axiom,( k6_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(64)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_cr1r0_crm1rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_cr2r0_crm2rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_crm1r0_cr1rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_crm2r0_cr2rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_crn1d2r0_crnm1d2rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_crnm1d2r0_crn1d2rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),0) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r100_rm102,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),100) = k4_xcmplx_0(102) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r108_rm110,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),108) = k4_xcmplx_0(110) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r10_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),10) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r119_rm121,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),119) = k4_xcmplx_0(121) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r11_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),11) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r120_rm122,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),120) = k4_xcmplx_0(122) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r126_rm128,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),126) = k4_xcmplx_0(128) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r12_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),12) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r14_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),14) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r16_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),16) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r18_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),18) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r203_rm205,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),203) = k4_xcmplx_0(205) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r211_rm213,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),211) = k4_xcmplx_0(213) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r216_rm218,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),216) = k4_xcmplx_0(218) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r21_rm23,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),21) = k4_xcmplx_0(23) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r236_rm238,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),236) = k4_xcmplx_0(238) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r242_rm244,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),242) = k4_xcmplx_0(244) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r24_rm26,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),24) = k4_xcmplx_0(26) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r252_rm254,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),252) = k4_xcmplx_0(254) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r256_rm258,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),256) = k4_xcmplx_0(258) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r27_rm29,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),27) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),2) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r30_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),30) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r32_rm34,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),32) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r33_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),33) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r35_rm37,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),35) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r36_rm38,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),36) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r3_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),3) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r414_rm416,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),414) = k4_xcmplx_0(416) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r419_rm421,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),419) = k4_xcmplx_0(421) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r42_rm44,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),42) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r48_rm50,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),48) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r4_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),4) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r512_rm514,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),512) = k4_xcmplx_0(514) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r54_rm56,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),54) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r57_rm59,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),57) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r5_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),5) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r640_rm642,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),640) = k4_xcmplx_0(642) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r64_rm66,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),64) = k4_xcmplx_0(66) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r6_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),6) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r72_rm74,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),72) = k4_xcmplx_0(74) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r7_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),7) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r84_rm86,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),84) = k4_xcmplx_0(86) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r8_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),8) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_r9_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),9) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm100_r98,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(100)) = 98 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm10_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(10)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm11_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(11)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm12_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(12)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm14_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(14)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm15_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(15)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm16_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(16)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm18_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(18)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm20_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(20)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm21_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(21)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm22_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(22)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm24_r22,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(24)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm256_r254,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(256)) = 254 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm32_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(32)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm33_r31,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(33)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm36_r34,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(36)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm48_r46,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(48)) = 46 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(4)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm512_r510,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(512)) = 510 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm54_r52,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(54)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm56_r54,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(56)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm57_r55,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(57)) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm5_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(5)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm63_r61,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(63)) = 61 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm640_r638,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(640)) = 638 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm64_r62,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(64)) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm6_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(6)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm7_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(7)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm8_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(8)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm9_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(9)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn121d5_rnm131d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(131),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn12d5_rnm22d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(12,5)) = k7_xcmplx_0(k4_xcmplx_0(22),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn13d2_rnm17d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d10_rnm21d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(21),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d18_rnm37d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(37),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d27_rnm55d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(55),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d2_rnm5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d30_rnm61d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,30)) = k7_xcmplx_0(k4_xcmplx_0(61),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d3_rnm7d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d4_rnm9d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d5_rnm11d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(11),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d6_rnm13d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn1d9_rnm19d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(19),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn21d2_rnm25d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(21,2)) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn243d10_rnm263d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(243,10)) = k7_xcmplx_0(k4_xcmplx_0(263),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn259d18_rnm295d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(259,18)) = k7_xcmplx_0(k4_xcmplx_0(295),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn28d9_rnm46d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(28,9)) = k7_xcmplx_0(k4_xcmplx_0(46),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn2d27_rnm56d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(56),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn2d3_rnm8d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn31d24_rnm79d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(31,24)) = k7_xcmplx_0(k4_xcmplx_0(79),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn35d3_rnm41d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(41),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn37d18_rnm73d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(37,18)) = k7_xcmplx_0(k4_xcmplx_0(73),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn3d10_rnm23d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,10)) = k7_xcmplx_0(k4_xcmplx_0(23),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn3d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn3d4_rnm11d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn4d3_rnm10d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn4d9_rnm22d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(22),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn5d16_rnm37d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(37),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn5d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn5d3_rnm11d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn5d4_rnm13d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn7d18_rnm43d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(43),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn7d2_rnm11d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn7d3_rnm13d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(13),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn7d6_rnm19d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(7,6)) = k7_xcmplx_0(k4_xcmplx_0(19),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn7d9_rnm25d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(25),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn8d3_rnm14d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rn8d5_rnm18d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(8,5)) = k7_xcmplx_0(k4_xcmplx_0(18),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm11d10_rnm9d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(11),10)) = k7_xcmplx_0(k4_xcmplx_0(9),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm11d6_rnm1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(11),6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm13d2_rn9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm13d6_rn1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(13),6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm13d9_rnm5d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(13),9)) = k7_xcmplx_0(k4_xcmplx_0(5),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm149d5_rn139d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(149),5)) = k7_xcmplx_0(139,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm14d9_rnm4d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(14),9)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm159d100_rnm41d100,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(k4_xcmplx_0(41),100) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm15d4_rn7d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(15),4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm16d3_rn10d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(16),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm17d16_rnm15d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(17),16)) = k7_xcmplx_0(k4_xcmplx_0(15),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm17d9_rnm1d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(17),9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm19d10_rnm1d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(19),10)) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm19d18_rnm17d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(19),18)) = k7_xcmplx_0(k4_xcmplx_0(17),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm19d6_rn7d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d10_rnm19d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(19),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d12_rnm23d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(23),12) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d18_rnm35d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(35),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d25_rnm49d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(k4_xcmplx_0(49),25) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d27_rnm53d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(53),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d3_rnm5d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d42_rnm83d42,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(k4_xcmplx_0(83),42) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d4_rnm7d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d5_rnm9d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(9),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d6_rnm11d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(11),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d8_rnm15d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(15),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm22d15_rnm8d15,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(k4_xcmplx_0(8),15) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm24d5_rn14d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(24),5)) = k7_xcmplx_0(14,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm25d18_rnm11d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(25),18)) = k7_xcmplx_0(k4_xcmplx_0(11),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm28d5_rn18d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(28),5)) = k7_xcmplx_0(18,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm29d36_rnm43d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(29),36)) = k7_xcmplx_0(k4_xcmplx_0(43),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm2d27_rnm52d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(k4_xcmplx_0(52),27) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm2d5_rnm8d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm31d30_rnm29d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(31),30)) = k7_xcmplx_0(k4_xcmplx_0(29),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm35d18_rnm1d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(35),18)) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d4_rnm5d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d8_rnm13d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(13),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm4d5_rnm6d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm55d12_rn31d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(55),12)) = k7_xcmplx_0(31,12) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm56d27_rn2d27,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(56),27)) = k7_xcmplx_0(2,27) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm5d16_rnm27d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(27),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm5d2_rn1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm5d3_rnm1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm5d4_rnm3d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm5d6_rnm7d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),6)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm5d8_rnm11d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(k4_xcmplx_0(11),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm7d18_rnm29d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(k4_xcmplx_0(29),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm7d2_rn3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm7d3_rn1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm7d4_rnm1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm7d8_rnm9d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm8d3_rn2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm8d5_rnm2d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm9d5_rnm1d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(9),5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_r0_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),0) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_r1_rm31,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),1) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm12_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(12)) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm18_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(18)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm24_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(24)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm30_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(30)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm32_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(32)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm36_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(36)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm3_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(3)) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm42_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(42)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm48_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(48)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm54_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(54)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm56_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(56)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm5_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(5)) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm63_r33,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(63)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm64_r34,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(64)) = 34 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm6_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(6)) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm84_r54,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(84)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rn121d4_rnm241d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(121,4)) = k7_xcmplx_0(k4_xcmplx_0(241),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rn121d5_rnm271d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(271),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rn1d10_rnm301d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(301),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rn1d4_rnm121d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(121),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rn1d5_rnm151d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(151),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rn1d8_rnm241d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(241),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rnm121d4_rn1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(121),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rnm1d10_rnm299d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(299),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rnm1d8_rnm239d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(239),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm30_rnm2d5_rnm148d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(148),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm319_r1_rm320,axiom,( k6_xcmplx_0(k4_xcmplx_0(319),1) = k4_xcmplx_0(320) )).
fof(rqRealDiff__k6_xcmplx_0__rm319_rm640_r321,axiom,( k6_xcmplx_0(k4_xcmplx_0(319),k4_xcmplx_0(640)) = 321 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_r1_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),1) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm256_r225,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(256)) = 225 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm31_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(31)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm32_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(32)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm48_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(48)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm56_r25,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(56)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm63_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(63)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm640_r609,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(640)) = 609 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm64_r33,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(64)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__rm31_rnm31d30_rnm899d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(31),k7_xcmplx_0(k4_xcmplx_0(31),30)) = k7_xcmplx_0(k4_xcmplx_0(899),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm320_r1_rm321,axiom,( k6_xcmplx_0(k4_xcmplx_0(320),1) = k4_xcmplx_0(321) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r110_rm142,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),110) = k4_xcmplx_0(142) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r13_rm45,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),13) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r16_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),16) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r1_rm33,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),1) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r211_rm243,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),211) = k4_xcmplx_0(243) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r24_rm56,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),24) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r2_rm34,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),2) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r32_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),32) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r3_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),3) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r4_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),4) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r7_rm39,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),7) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_r8_rm40,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),8) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm128_r96,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(128)) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm169_r137,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(169)) = 137 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm16_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(16)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm1_rm31,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(1)) = k4_xcmplx_0(31) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm243_r211,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(243)) = 211 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm24_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(24)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm256_r224,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(256)) = 224 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm26_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(26)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm31_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(31)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm32_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm36_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(36)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm3_rm29,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(3)) = k4_xcmplx_0(29) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm48_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(48)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm4_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(4)) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm56_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(56)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm63_r31,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(63)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm640_r608,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(640)) = 608 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm64_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(64)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm8_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(8)) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rm96_r64,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(96)) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rn5d16_rnm517d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(517),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rnm22d15_rnm458d15,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(k4_xcmplx_0(458),15) )).
fof(rqRealDiff__k6_xcmplx_0__rm32_rnm5d16_rnm507d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(507),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm332_rm1_rm331,axiom,( k6_xcmplx_0(k4_xcmplx_0(332),k4_xcmplx_0(1)) = k4_xcmplx_0(331) )).
fof(rqRealDiff__k6_xcmplx_0__rm33_r2_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),2) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm1_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(1)) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm243_r210,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(243)) = 210 )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm32_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(32)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm33_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(33)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm48_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(48)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm54_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(54)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm56_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(56)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm63_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(63)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm33_rm64_r31,axiom,( k6_xcmplx_0(k4_xcmplx_0(33),k4_xcmplx_0(64)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_r1_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),1) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm34_r2_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),2) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm243_r209,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(243)) = 209 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm32_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(32)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm34_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(34)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm48_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(48)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm56_r22,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(56)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm57_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(57)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm63_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(63)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm64_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(64)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm34_rm96_r62,axiom,( k6_xcmplx_0(k4_xcmplx_0(34),k4_xcmplx_0(96)) = 62 )).
fof(rqRealDiff__k6_xcmplx_0__rm357_r128_rm485,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),128) = k4_xcmplx_0(485) )).
fof(rqRealDiff__k6_xcmplx_0__rm357_r169_rm526,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),169) = k4_xcmplx_0(526) )).
fof(rqRealDiff__k6_xcmplx_0__rm357_r357_rm714,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),357) = k4_xcmplx_0(714) )).
fof(rqRealDiff__k6_xcmplx_0__rm357_r3_rm360,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),3) = k4_xcmplx_0(360) )).
fof(rqRealDiff__k6_xcmplx_0__rm357_r44_rm401,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),44) = k4_xcmplx_0(401) )).
fof(rqRealDiff__k6_xcmplx_0__rm357_r64_rm421,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),64) = k4_xcmplx_0(421) )).
fof(rqRealDiff__k6_xcmplx_0__rm357_rm119_rm238,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),k4_xcmplx_0(119)) = k4_xcmplx_0(238) )).
fof(rqRealDiff__k6_xcmplx_0__rm357_rm357_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(357),k4_xcmplx_0(357)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_r1_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),1) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm35_r35_rm70,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),35) = k4_xcmplx_0(70) )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm243_r208,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(243)) = 208 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm35_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(35)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm45_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(45)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm48_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(48)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm56_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(56)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm63_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(63)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm64_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(64)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rm7_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(7)) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm35_rnm55d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(k4_xcmplx_0(55),2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm360_rm357_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(360),k4_xcmplx_0(357)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm360_rm414_r54,axiom,( k6_xcmplx_0(k4_xcmplx_0(360),k4_xcmplx_0(414)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__rm366_r16_rm382,axiom,( k6_xcmplx_0(k4_xcmplx_0(366),16) = k4_xcmplx_0(382) )).
fof(rqRealDiff__k6_xcmplx_0__rm366_r366_rm732,axiom,( k6_xcmplx_0(k4_xcmplx_0(366),366) = k4_xcmplx_0(732) )).
fof(rqRealDiff__k6_xcmplx_0__rm366_r3_rm369,axiom,( k6_xcmplx_0(k4_xcmplx_0(366),3) = k4_xcmplx_0(369) )).
fof(rqRealDiff__k6_xcmplx_0__rm366_r8_rm374,axiom,( k6_xcmplx_0(k4_xcmplx_0(366),8) = k4_xcmplx_0(374) )).
fof(rqRealDiff__k6_xcmplx_0__rm366_rm183_rm183,axiom,( k6_xcmplx_0(k4_xcmplx_0(366),k4_xcmplx_0(183)) = k4_xcmplx_0(183) )).
fof(rqRealDiff__k6_xcmplx_0__rm366_rm366_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(366),k4_xcmplx_0(366)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm369_rm366_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(369),k4_xcmplx_0(366)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r0_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),0) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r12_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),12) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r16_rm52,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),16) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r1_rm37,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),1) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r21_rm57,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),21) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r27_rm63,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),27) = k4_xcmplx_0(63) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r2_rm38,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),2) = k4_xcmplx_0(38) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r35_rm71,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),35) = k4_xcmplx_0(71) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r36_rm72,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),36) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r3_rm39,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),3) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r48_rm84,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),48) = k4_xcmplx_0(84) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r64_rm100,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),64) = k4_xcmplx_0(100) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r84_rm120,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),84) = k4_xcmplx_0(120) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_r9_rm45,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),9) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm108_r72,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(108)) = 72 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm12_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(12)) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm16_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(16)) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm18_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(18)) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm1_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(1)) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm24_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(24)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm27_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(27)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm28_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(28)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm30_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(30)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm36_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(36)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm42_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(42)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm48_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(48)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm56_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(56)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm57_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(57)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm63_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(63)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm64_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(64)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm6_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(6)) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn1d2_rnm73d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(73),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn1d3_rnm109d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(109),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn1d4_rnm145d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(145),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn27d4_rnm171d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(27,4)) = k7_xcmplx_0(k4_xcmplx_0(171),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn2d3_rnm110d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(110),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn35d3_rnm143d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(143),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn3d4_rnm147d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(147),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rn8d3_rnm116d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(116),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rnm100d3_rnm8d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(k4_xcmplx_0(100),3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm36_rnm1d3_rnm107d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(107),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm37_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(37),k4_xcmplx_0(37)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm48_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(37),k4_xcmplx_0(48)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm56_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(37),k4_xcmplx_0(56)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm63_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(37),k4_xcmplx_0(63)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm64_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(37),k4_xcmplx_0(64)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm37_rn2d3_rnm113d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(37),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(113),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm382_rm366_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(382),k4_xcmplx_0(366)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm384_rm288_rm96,axiom,( k6_xcmplx_0(k4_xcmplx_0(384),k4_xcmplx_0(288)) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__rm384_rm384_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(384),k4_xcmplx_0(384)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm384_rm576_r192,axiom,( k6_xcmplx_0(k4_xcmplx_0(384),k4_xcmplx_0(576)) = 192 )).
fof(rqRealDiff__k6_xcmplx_0__rm384_rm96_rm288,axiom,( k6_xcmplx_0(k4_xcmplx_0(384),k4_xcmplx_0(96)) = k4_xcmplx_0(288) )).
fof(rqRealDiff__k6_xcmplx_0__rm38_rm38_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(38)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm38_rm48_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(48)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm38_rm56_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(56)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm38_rm63_r25,axiom,( k6_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(63)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__rm38_rm64_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(64)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm39_r12_rm51,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),12) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm12_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(12)) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm18_rm21,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(18)) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm243_r204,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(243)) = 204 )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm39_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(39)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm48_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(48)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm56_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(56)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm63_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(63)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rm64_r25,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(64)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rnm13d10_rnm377d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k7_xcmplx_0(k4_xcmplx_0(13),10)) = k7_xcmplx_0(k4_xcmplx_0(377),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm39_rnm2d5_rnm193d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(39),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(193),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_cr2r0_crm2rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_cr3r0_crm3rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_crm3r0_cr3rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_crn1d2r0_crnm1d2rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_crnm1d2r0_crn1d2rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),0) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r108_rm111,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),108) = k4_xcmplx_0(111) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r110_rm113,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),110) = k4_xcmplx_0(113) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r11_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),11) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r126_rm129,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),126) = k4_xcmplx_0(129) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r12_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),12) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r13_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),13) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r16_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),16) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r18_rm21,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),18) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r192_rm195,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),192) = k4_xcmplx_0(195) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),1) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r203_rm206,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),203) = k4_xcmplx_0(206) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r211_rm214,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),211) = k4_xcmplx_0(214) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r216_rm219,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),216) = k4_xcmplx_0(219) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r21_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),21) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r252_rm255,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),252) = k4_xcmplx_0(255) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r27_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),27) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r29_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),29) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r2_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),2) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r32_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),32) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r36_rm39,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),36) = k4_xcmplx_0(39) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r3_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),3) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r414_rm417,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),414) = k4_xcmplx_0(417) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r419_rm422,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),419) = k4_xcmplx_0(422) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r48_rm51,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),48) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r4_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),4) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r54_rm57,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),54) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r57_rm60,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),57) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r5_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),5) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r62_rm65,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),62) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r64_rm67,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),64) = k4_xcmplx_0(67) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r6_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),6) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r72_rm75,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),72) = k4_xcmplx_0(75) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r7_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),7) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r82_rm85,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),82) = k4_xcmplx_0(85) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r84_rm87,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),84) = k4_xcmplx_0(87) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r8_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),8) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_r9_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),9) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm100_r97,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(100)) = 97 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm10_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(10)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm119_r116,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(119)) = 116 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm11_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(11)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm12_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(12)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm14_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(14)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm151_r148,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(151)) = 148 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm15_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(15)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm169_r166,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(169)) = 166 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm16_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(16)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm183_r180,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(183)) = 180 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm18_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(18)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm20_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(20)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm24_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(24)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm256_r253,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(256)) = 253 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm26_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(26)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm27_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(27)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm28_r25,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(28)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm32_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(32)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm33_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(33)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm357_r354,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(357)) = 354 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm35_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(35)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm366_r363,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(366)) = 363 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm36_r33,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(36)) = 33 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm44_r41,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(44)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm48_r45,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(48)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(4)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm54_r51,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(54)) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm56_r53,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(56)) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm57_r54,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(57)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm5_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(5)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm63_r60,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(63)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm640_r637,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(640)) = 637 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm64_r61,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(64)) = 61 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm68_r65,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(68)) = 65 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm6_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(6)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm7_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(7)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm81_r78,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(81)) = 78 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm8_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(8)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm91_r88,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(91)) = 88 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm9_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(9)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn119d120_rnm479d120,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(119,120)) = k7_xcmplx_0(k4_xcmplx_0(479),120) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn119d240_rnm839d240,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(119,240)) = k7_xcmplx_0(k4_xcmplx_0(839),240) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn119d80_rnm359d80,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(119,80)) = k7_xcmplx_0(k4_xcmplx_0(359),80) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn121d40_rnm241d40,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(121,40)) = k7_xcmplx_0(k4_xcmplx_0(241),40) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn121d5_rnm136d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(136),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn12d5_rnm27d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(12,5)) = k7_xcmplx_0(k4_xcmplx_0(27),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn15d2_rnm21d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d10_rnm31d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(31),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d30_rnm91d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,30)) = k7_xcmplx_0(k4_xcmplx_0(91),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d3_rnm10d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d40_rnm121d40,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,40)) = k7_xcmplx_0(k4_xcmplx_0(121),40) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d4_rnm13d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d5_rnm16d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(16),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d6_rnm19d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(19),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d80_rnm241d80,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(241),80) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn1d9_rnm28d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(28),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn2d3_rnm11d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn31d24_rnm103d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(31,24)) = k7_xcmplx_0(k4_xcmplx_0(103),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn35d3_rnm44d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(44),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn3d16_rnm51d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(51),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn3d256_rnm771d256,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,256)) = k7_xcmplx_0(k4_xcmplx_0(771),256) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn3d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn3d32_rnm99d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,32)) = k7_xcmplx_0(k4_xcmplx_0(99),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn3d4_rnm15d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn5d2_rnm11d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn5d3_rnm14d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn5d4_rnm17d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn8d3_rnm17d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(17),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn8d5_rnm23d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(8,5)) = k7_xcmplx_0(k4_xcmplx_0(23),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rn9d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm11d10_rnm19d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(11),10)) = k7_xcmplx_0(k4_xcmplx_0(19),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm11d3_rn2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(11),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm11d4_rnm1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(11),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm121d40_rn1d40,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(121),40)) = k7_xcmplx_0(1,40) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm13d2_rn7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm13d6_rnm5d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(13),6)) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm149d5_rn134d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(149),5)) = k7_xcmplx_0(134,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm159d100_rnm141d100,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(k4_xcmplx_0(141),100) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm15d4_rn3d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(15),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm19d10_rnm11d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(19),10)) = k7_xcmplx_0(k4_xcmplx_0(11),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm19d6_rn1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d10_rnm29d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(29),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d12_rnm35d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(35),12) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d14_rnm41d14,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(41),14) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d18_rnm53d18,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(53),18) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d24_rnm71d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(71),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d2_rnm5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d3_rnm8d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d42_rnm125d42,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(k4_xcmplx_0(125),42) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d4_rnm11d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d6_rnm17d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(17),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d80_rnm239d80,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(239),80) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm1d8_rnm23d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(23),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm21d8_rnm3d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(21),8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm22d15_rnm23d15,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(k4_xcmplx_0(23),15) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm274d5_rn259d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(274),5)) = k7_xcmplx_0(259,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm29d36_rnm79d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(29),36)) = k7_xcmplx_0(k4_xcmplx_0(79),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm2d3_rnm7d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm2d5_rnm13d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(13),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d16_rnm45d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(45),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d256_rnm765d256,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(k4_xcmplx_0(765),256) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d32_rnm93d32,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(k4_xcmplx_0(93),32) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d4_rnm9d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d5_rnm12d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d8_rnm21d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(21),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm4d3_rnm5d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm53d6_rn35d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(53),6)) = k7_xcmplx_0(35,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm5d2_rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm5d3_rnm4d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm5d4_rnm7d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm5d6_rnm13d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(5),6)) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm765d256_rnm3d256,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(765),256)) = k7_xcmplx_0(k4_xcmplx_0(3),256) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm7d2_rn1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm7d3_rnm2d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm7d4_rnm5d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm8d3_rnm1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm8d5_rnm7d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(k4_xcmplx_0(7),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm9d2_rn3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm3_rm37,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(3)) = k4_xcmplx_0(37) )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm48_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(48)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm4_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(4)) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm56_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(56)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm5_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(5)) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm63_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(63)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm64_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(64)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm8_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(8)) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm414_rm414_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(414),k4_xcmplx_0(414)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm419_rm419_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(419),k4_xcmplx_0(419)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm41_r3_rm44,axiom,( k6_xcmplx_0(k4_xcmplx_0(41),3) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm48_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(41),k4_xcmplx_0(48)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm56_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(41),k4_xcmplx_0(56)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm63_r22,axiom,( k6_xcmplx_0(k4_xcmplx_0(41),k4_xcmplx_0(63)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm64_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(41),k4_xcmplx_0(64)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm41_rnm41d6_rnm205d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(41),k7_xcmplx_0(k4_xcmplx_0(41),6)) = k7_xcmplx_0(k4_xcmplx_0(205),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm421_rm357_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(421),k4_xcmplx_0(357)) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm425_rm169_rm256,axiom,( k6_xcmplx_0(k4_xcmplx_0(425),k4_xcmplx_0(169)) = k4_xcmplx_0(256) )).
fof(rqRealDiff__k6_xcmplx_0__rm426_rm54_rm372,axiom,( k6_xcmplx_0(k4_xcmplx_0(426),k4_xcmplx_0(54)) = k4_xcmplx_0(372) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_r0_rm42,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),0) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_r1_rm43,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),1) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm12_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(12)) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm18_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(18)) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm24_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(24)) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm30_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(30)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm36_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(36)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm42_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(42)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm48_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(48)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm56_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(56)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm63_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(63)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm64_r22,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(64)) = 22 )).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm6_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(6)) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm431_rm54_rm377,axiom,( k6_xcmplx_0(k4_xcmplx_0(431),k4_xcmplx_0(54)) = k4_xcmplx_0(377) )).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm48_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(43),k4_xcmplx_0(48)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm56_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(43),k4_xcmplx_0(56)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm63_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(43),k4_xcmplx_0(63)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm64_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(43),k4_xcmplx_0(64)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm446_rm12_rm434,axiom,( k6_xcmplx_0(k4_xcmplx_0(446),k4_xcmplx_0(12)) = k4_xcmplx_0(434) )).
fof(rqRealDiff__k6_xcmplx_0__rm44_r2_rm46,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),2) = k4_xcmplx_0(46) )).
fof(rqRealDiff__k6_xcmplx_0__rm44_r3_rm47,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),3) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__rm44_r4_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),4) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm44_rm44_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(44)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm44_rm48_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(48)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm44_rm56_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(56)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm44_rm63_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(63)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm44_rm64_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(64)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm44_rnm22d15_rnm638d15,axiom,( k6_xcmplx_0(k4_xcmplx_0(44),k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(k4_xcmplx_0(638),15) )).
fof(rqRealDiff__k6_xcmplx_0__rm45_r2_rm47,axiom,( k6_xcmplx_0(k4_xcmplx_0(45),2) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__rm45_rm45_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(45)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm45_rm48_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(48)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm45_rm56_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(56)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm45_rm63_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(63)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm45_rm64_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(45),k4_xcmplx_0(64)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm45_rnm9d2_rnm81d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(45),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(k4_xcmplx_0(81),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm46_rm46_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(46),k4_xcmplx_0(46)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm46_rm48_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(46),k4_xcmplx_0(48)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm46_rm56_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(46),k4_xcmplx_0(56)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm46_rm63_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(46),k4_xcmplx_0(63)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm46_rm64_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(46),k4_xcmplx_0(64)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm47_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(47),k4_xcmplx_0(47)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm48_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(47),k4_xcmplx_0(48)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm56_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(47),k4_xcmplx_0(56)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm63_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(47),k4_xcmplx_0(63)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm64_r17,axiom,( k6_xcmplx_0(k4_xcmplx_0(47),k4_xcmplx_0(64)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rm480_rm288_rm192,axiom,( k6_xcmplx_0(k4_xcmplx_0(480),k4_xcmplx_0(288)) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__rm480_rm480_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(480),k4_xcmplx_0(480)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm480_rm96_rm384,axiom,( k6_xcmplx_0(k4_xcmplx_0(480),k4_xcmplx_0(96)) = k4_xcmplx_0(384) )).
fof(rqRealDiff__k6_xcmplx_0__rm485_rm357_rm128,axiom,( k6_xcmplx_0(k4_xcmplx_0(485),k4_xcmplx_0(357)) = k4_xcmplx_0(128) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r12_rm60,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),12) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r16_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),16) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r1_rm49,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),1) = k4_xcmplx_0(49) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r21_rm69,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),21) = k4_xcmplx_0(69) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r27_rm75,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),27) = k4_xcmplx_0(75) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r2_rm50,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),2) = k4_xcmplx_0(50) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r3_rm51,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),3) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r48_rm96,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),48) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r64_rm112,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),64) = k4_xcmplx_0(112) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_r84_rm132,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),84) = k4_xcmplx_0(132) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm16_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(16)) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm1_rm47,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(1)) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm36_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(36)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm48_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(48)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm4_rm44,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(4)) = k4_xcmplx_0(44) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm51_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(51)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm54_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(54)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm56_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(56)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm63_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(63)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm64_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(64)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm7_rm41,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(7)) = k4_xcmplx_0(41) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rm8_rm40,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(8)) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rn1d2_rnm97d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(97),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rn1d4_rnm193d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(193),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rn27d4_rnm219d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(27,4)) = k7_xcmplx_0(k4_xcmplx_0(219),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rn3d4_rnm195d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(195),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm48_rnm1d8_rnm383d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(383),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm49_rm1_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(49),k4_xcmplx_0(1)) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm49_rm48_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(49),k4_xcmplx_0(48)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm49_rm56_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(49),k4_xcmplx_0(56)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm49_rm63_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(49),k4_xcmplx_0(63)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm49_rm64_r15,axiom,( k6_xcmplx_0(k4_xcmplx_0(49),k4_xcmplx_0(64)) = 15 )).
fof(rqRealDiff__k6_xcmplx_0__rm49_rm7_rm42,axiom,( k6_xcmplx_0(k4_xcmplx_0(49),k4_xcmplx_0(7)) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),0) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r10_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),10) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r119_rm123,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),119) = k4_xcmplx_0(123) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r120_rm124,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),120) = k4_xcmplx_0(124) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r121_rm125,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),121) = k4_xcmplx_0(125) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r12_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),12) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r13_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),13) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r16_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),16) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r17_rm21,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),17) = k4_xcmplx_0(21) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r18_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),18) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r1_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),1) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r21_rm25,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),21) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r236_rm240,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),236) = k4_xcmplx_0(240) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r242_rm246,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),242) = k4_xcmplx_0(246) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r24_rm28,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),24) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r2_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),2) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r30_rm34,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),30) = k4_xcmplx_0(34) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r32_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),32) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r3_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),3) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r4_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),4) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r5_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),5) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r61_rm65,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),61) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r62_rm66,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),62) = k4_xcmplx_0(66) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r64_rm68,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),64) = k4_xcmplx_0(68) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r6_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),6) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r7_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),7) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r81_rm85,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),81) = k4_xcmplx_0(85) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r82_rm86,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),82) = k4_xcmplx_0(86) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r84_rm88,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),84) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r8_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),8) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_r9_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),9) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm10_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(10)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm11_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(11)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm12_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(12)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm14_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(14)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm15_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(15)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm16_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(16)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm18_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(18)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(1)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm20_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(20)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm24_r20,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(24)) = 20 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm28_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(28)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm32_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(32)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm33_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(33)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm36_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(36)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm48_r44,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(48)) = 44 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm56_r52,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(56)) = 52 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm57_r53,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(57)) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm5_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(5)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm63_r59,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(63)) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm640_r636,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(640)) = 636 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm64_r60,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(64)) = 60 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm6_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(6)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm7_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(7)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm8_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(8)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rm9_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(9)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn121d5_rnm141d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(141),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn13d2_rnm21d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d10_rnm41d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(41),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d16_rnm65d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(65),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d20_rnm81d20,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,20)) = k7_xcmplx_0(k4_xcmplx_0(81),20) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d30_rnm121d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,30)) = k7_xcmplx_0(k4_xcmplx_0(121),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d3_rnm13d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(13),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d4_rnm17d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d5_rnm21d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(21),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d60_rnm241d60,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,60)) = k7_xcmplx_0(k4_xcmplx_0(241),60) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d6_rnm25d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(25),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn1d8_rnm33d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(33),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn27d4_rnm43d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(27,4)) = k7_xcmplx_0(k4_xcmplx_0(43),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn2d3_rnm14d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn2d5_rnm22d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(22),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn35d3_rnm47d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(47),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn3d2_rnm11d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn3d4_rnm19d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(19),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn4d3_rnm16d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn5d16_rnm69d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(69),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn5d2_rnm13d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn5d3_rnm17d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(17),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn5d4_rnm21d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn7d3_rnm19d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(19),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn8d3_rnm20d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(20),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rn9d2_rnm17d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm11d3_rnm1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(11),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm11d4_rnm5d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(11),4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm13d2_rn5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm13d4_rnm3d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(13),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm15d4_rnm1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(15),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm15d8_rnm17d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(15),8)) = k7_xcmplx_0(k4_xcmplx_0(17),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm16d3_rn4d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(16),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm16d5_rnm4d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(16),5)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm17d4_rn1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(17),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm19d6_rnm5d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm1d10_rnm39d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(39),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm1d12_rnm47d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(47),12) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm1d16_rnm63d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(63),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm1d24_rnm95d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(95),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm1d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm1d3_rnm11d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm1d4_rnm15d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm23d6_rnm1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(23),6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm243d2_rn235d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(243),2)) = k7_xcmplx_0(235,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm25d6_rn1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(25),6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm29d36_rnm115d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(29),36)) = k7_xcmplx_0(k4_xcmplx_0(115),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm2d3_rnm10d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm2d5_rnm18d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(18),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm3d2_rnm5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm3d4_rnm13d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm3d8_rnm29d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(29),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm49d12_rn1d12,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(49),12)) = k7_xcmplx_0(1,12) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm4d3_rnm8d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm4d5_rnm16d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(16),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm5d16_rnm59d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(59),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm5d2_rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm5d3_rnm7d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm5d4_rnm11d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm7d2_rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm7d3_rnm5d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm7d4_rnm9d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm8d3_rnm4d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm8d5_rnm12d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm9d2_rn1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm4_rnm9d4_rnm7d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(9),4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm503_rm1_rm502,axiom,( k6_xcmplx_0(k4_xcmplx_0(503),k4_xcmplx_0(1)) = k4_xcmplx_0(502) )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm10_rm40,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(10)) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm3_rm47,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(3)) = k4_xcmplx_0(47) )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm48_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(48)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm51_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(51)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm56_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(56)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm5_rm45,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(5)) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm63_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(63)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm64_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k4_xcmplx_0(64)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rnm149d5_rnm101d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k7_xcmplx_0(k4_xcmplx_0(149),5)) = k7_xcmplx_0(k4_xcmplx_0(101),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm50_rnm274d5_rn24d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(50),k7_xcmplx_0(k4_xcmplx_0(274),5)) = k7_xcmplx_0(24,5) )).
fof(rqRealDiff__k6_xcmplx_0__rm512_rm1_rm511,axiom,( k6_xcmplx_0(k4_xcmplx_0(512),k4_xcmplx_0(1)) = k4_xcmplx_0(511) )).
fof(rqRealDiff__k6_xcmplx_0__rm512_rm512_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(512),k4_xcmplx_0(512)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm512_rm768_r256,axiom,( k6_xcmplx_0(k4_xcmplx_0(512),k4_xcmplx_0(768)) = 256 )).
fof(rqRealDiff__k6_xcmplx_0__rm51_rm48_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(51),k4_xcmplx_0(48)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm51_rm56_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(51),k4_xcmplx_0(56)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm51_rm63_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(51),k4_xcmplx_0(63)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm51_rm64_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(51),k4_xcmplx_0(64)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm1_rm51,axiom,( k6_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(1)) = k4_xcmplx_0(51) )).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm48_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(48)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm51_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(51)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm52_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(52)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm56_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(56)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm63_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(63)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm64_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(52),k4_xcmplx_0(64)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm48_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(53),k4_xcmplx_0(48)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm56_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(53),k4_xcmplx_0(56)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm63_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(53),k4_xcmplx_0(63)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm64_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(53),k4_xcmplx_0(64)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm54_r1_rm55,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),1) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__rm54_r2_rm56,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),2) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm1_rm53,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(1)) = k4_xcmplx_0(53) )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm27_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(27)) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm2_rm52,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(2)) = k4_xcmplx_0(52) )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm414_r360,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(414)) = 360 )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm48_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(48)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm52_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(52)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm54_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(54)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm56_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(56)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm63_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(63)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm64_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(64)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm81_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(81)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm48_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(55),k4_xcmplx_0(48)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm54_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(55),k4_xcmplx_0(54)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm56_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(55),k4_xcmplx_0(56)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm63_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(55),k4_xcmplx_0(63)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm64_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(55),k4_xcmplx_0(64)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm48_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(48)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm54_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(54)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm56_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(56)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm63_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(63)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm64_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(64)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm8_rm48,axiom,( k6_xcmplx_0(k4_xcmplx_0(56),k4_xcmplx_0(8)) = k4_xcmplx_0(48) )).
fof(rqRealDiff__k6_xcmplx_0__rm576_rm384_rm192,axiom,( k6_xcmplx_0(k4_xcmplx_0(576),k4_xcmplx_0(384)) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__rm576_rm96_rm480,axiom,( k6_xcmplx_0(k4_xcmplx_0(576),k4_xcmplx_0(96)) = k4_xcmplx_0(480) )).
fof(rqRealDiff__k6_xcmplx_0__rm57_rm56_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(56)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm57_rm57_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(57)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm57_rm63_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(63)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm57_rm64_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(64)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm57_rnm19d10_rnm551d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(57),k7_xcmplx_0(k4_xcmplx_0(19),10)) = k7_xcmplx_0(k4_xcmplx_0(551),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm58_rm56_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(58),k4_xcmplx_0(56)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm58_rm58_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(58),k4_xcmplx_0(58)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm58_rm63_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(58),k4_xcmplx_0(63)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm58_rm64_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(58),k4_xcmplx_0(64)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm59_r110_rm169,axiom,( k6_xcmplx_0(k4_xcmplx_0(59),110) = k4_xcmplx_0(169) )).
fof(rqRealDiff__k6_xcmplx_0__rm59_rm56_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(59),k4_xcmplx_0(56)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm59_rm63_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(59),k4_xcmplx_0(63)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm59_rm64_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(59),k4_xcmplx_0(64)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r0_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),0) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r10_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),10) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r12_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),12) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r13_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),13) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r1_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),1) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r2_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),2) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r3_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),3) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r4_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),4) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r5_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),5) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r6_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),6) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r7_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),7) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_r8_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),8) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm10_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(10)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm11_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(11)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm12_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(12)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm13_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(13)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm14_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(14)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm15_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(15)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm16_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(16)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm1_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(1)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm24_r19,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(24)) = 19 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm2_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm32_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(32)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm3_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm48_r43,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(48)) = 43 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm4_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(4)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm56_r51,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(56)) = 51 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm5_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm63_r58,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(63)) = 58 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm640_r635,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(640)) = 635 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm64_r59,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(64)) = 59 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm6_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(6)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm7_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(7)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm8_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(8)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm9_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(9)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn121d5_rnm146d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(146),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn13d2_rnm23d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn1d10_rnm51d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(51),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn1d2_rnm11d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn1d4_rnm21d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn1d5_rnm26d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(26),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn2d3_rnm17d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(17),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn3d2_rnm13d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn3d4_rnm23d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(23),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn5d16_rnm85d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(85),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn5d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn5d3_rnm20d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(20),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn5d4_rnm25d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rn8d3_rnm23d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(23),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm11d2_rn1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(11),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm13d2_rn3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm15d4_rnm5d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(15),4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm1d10_rnm49d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(49),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm1d25_rnm124d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(k4_xcmplx_0(124),25) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm1d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm1d4_rnm19d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(19),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm1d5_rnm24d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(24),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm3d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm3d4_rnm17d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm3d8_rnm37d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(37),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm4d3_rnm11d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm4d5_rnm21d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(21),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm5d16_rnm75d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(75),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm5d2_rnm5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm5d3_rnm10d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm5d4_rnm15d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm7d2_rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm5_rnm8d3_rnm7d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm3_rm57,axiom,( k6_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(3)) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm48_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(48)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm56_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(56)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm5_rm55,axiom,( k6_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(5)) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm63_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(63)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm64_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(60),k4_xcmplx_0(64)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm18_rm43,axiom,( k6_xcmplx_0(k4_xcmplx_0(61),k4_xcmplx_0(18)) = k4_xcmplx_0(43) )).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm56_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(61),k4_xcmplx_0(56)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm61_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(61),k4_xcmplx_0(61)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm63_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(61),k4_xcmplx_0(63)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm64_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(61),k4_xcmplx_0(64)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm62_rm56_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(62),k4_xcmplx_0(56)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm62_rm63_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(62),k4_xcmplx_0(63)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm62_rm64_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(62),k4_xcmplx_0(64)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm639_r1_rm640,axiom,( k6_xcmplx_0(k4_xcmplx_0(639),1) = k4_xcmplx_0(640) )).
fof(rqRealDiff__k6_xcmplx_0__rm639_rm640_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(639),k4_xcmplx_0(640)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm63_r1_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(63),1) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm256_r193,axiom,( k6_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(256)) = 193 )).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm28_rm35,axiom,( k6_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(28)) = k4_xcmplx_0(35) )).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm56_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(56)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm63_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(63)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm640_r577,axiom,( k6_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(640)) = 577 )).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm64_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(64)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm640_r1_rm641,axiom,( k6_xcmplx_0(k4_xcmplx_0(640),1) = k4_xcmplx_0(641) )).
fof(rqRealDiff__k6_xcmplx_0__rm640_rm640_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(640),k4_xcmplx_0(640)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm641_r1_rm642,axiom,( k6_xcmplx_0(k4_xcmplx_0(641),1) = k4_xcmplx_0(642) )).
fof(rqRealDiff__k6_xcmplx_0__rm641_rm641_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(641),k4_xcmplx_0(641)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm64_r110_rm174,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),110) = k4_xcmplx_0(174) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_r1_rm65,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),1) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_r64_rm128,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),64) = k4_xcmplx_0(128) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm169_r105,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(169)) = 105 )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm1_rm63,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(1)) = k4_xcmplx_0(63) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm256_r192,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(256)) = 192 )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm32_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(32)) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm357_r293,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(357)) = 293 )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm44_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(44)) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm56_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(56)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm63_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(63)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm640_r576,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(640)) = 576 )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm64_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm8_rm56,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(8)) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rn1d4_rnm257d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(257),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rnm1d4_rnm255d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(255),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rnm1d8_rnm511d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(511),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm64_rnm255d4_rnm1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(k4_xcmplx_0(255),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm65_rm65_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(65),k4_xcmplx_0(65)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm66_rm54_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(66),k4_xcmplx_0(54)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm672_rm96_rm576,axiom,( k6_xcmplx_0(k4_xcmplx_0(672),k4_xcmplx_0(96)) = k4_xcmplx_0(576) )).
fof(rqRealDiff__k6_xcmplx_0__rm673_rm1_rm672,axiom,( k6_xcmplx_0(k4_xcmplx_0(673),k4_xcmplx_0(1)) = k4_xcmplx_0(672) )).
fof(rqRealDiff__k6_xcmplx_0__rm69_rm54_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(69),k4_xcmplx_0(54)) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r0_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),0) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r10_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),10) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r12_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),12) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r18_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),18) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r1_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),1) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r24_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),24) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r2_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),2) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r30_rm36,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),30) = k4_xcmplx_0(36) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r36_rm42,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),36) = k4_xcmplx_0(42) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r3_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),3) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r48_rm54,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),48) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r4_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),4) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r5_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),5) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r6_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),6) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r7_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),7) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_r8_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),8) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm10_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(10)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm11_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(11)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm128_r122,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(128)) = 122 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm12_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(12)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm13_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(13)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm14_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(14)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm15_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(15)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm16_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(16)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm18_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(18)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm1_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(1)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm20_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(20)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm24_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(24)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm2_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm30_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(30)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm32_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(32)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm35_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(35)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm36_r30,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(36)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm3_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(3)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm42_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(42)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm45_r39,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(45)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm48_r42,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(48)) = 42 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm4_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(4)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm56_r50,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(56)) = 50 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm5_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(5)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm63_r57,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(63)) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm640_r634,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(640)) = 634 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm64_r58,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(64)) = 58 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm6_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm7_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(7)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm8_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(8)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm9_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(9)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn121d5_rnm151d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(151),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn15d2_rnm27d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(27),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn1d10_rnm61d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(61),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn1d20_rnm121d20,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,20)) = k7_xcmplx_0(k4_xcmplx_0(121),20) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn1d2_rnm13d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn1d4_rnm25d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn1d5_rnm31d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(31),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn1d6_rnm37d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(37),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn3d16_rnm99d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(99),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn3d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn3d4_rnm27d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(27),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn59d20_rnm179d20,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(59,20)) = k7_xcmplx_0(k4_xcmplx_0(179),20) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn59d30_rnm239d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(59,30)) = k7_xcmplx_0(k4_xcmplx_0(239),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn59d60_rnm419d60,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(59,60)) = k7_xcmplx_0(k4_xcmplx_0(419),60) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn5d16_rnm101d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(101),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn5d4_rnm29d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(29),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn8d3_rnm26d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rn9d2_rnm21d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm121d20_rn1d20,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(121),20)) = k7_xcmplx_0(1,20) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm1d10_rnm59d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(59),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm1d24_rnm143d24,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(143),24) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm1d2_rnm11d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm1d4_rnm23d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(23),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm1d5_rnm29d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(29),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm1d6_rnm35d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(35),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm1d7_rnm41d7,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(k4_xcmplx_0(41),7) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm24d5_rnm6d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(24),5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm27d4_rn3d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm28d5_rnm2d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(28),5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm2d5_rnm28d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(28),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm31d30_rnm149d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(31),30)) = k7_xcmplx_0(k4_xcmplx_0(149),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm35d6_rnm1d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(35),6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm3d16_rnm93d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(93),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm3d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm3d8_rnm45d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(45),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm41d6_rn5d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(41),6)) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm4d3_rnm14d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm4d5_rnm26d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(26),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm55d2_rn43d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(55),2)) = k7_xcmplx_0(43,2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm5d16_rnm91d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(91),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm5d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm8d3_rnm10d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm8d5_rnm22d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(k4_xcmplx_0(22),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm9d10_rnm51d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(9),10)) = k7_xcmplx_0(k4_xcmplx_0(51),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm9d2_rnm3d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm6_rnm9d5_rnm21d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(9),5)) = k7_xcmplx_0(k4_xcmplx_0(21),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm70_rm256_r186,axiom,( k6_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(256)) = 186 )).
fof(rqRealDiff__k6_xcmplx_0__rm70_rm3_rm67,axiom,( k6_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(3)) = k4_xcmplx_0(67) )).
fof(rqRealDiff__k6_xcmplx_0__rm70_rm5_rm65,axiom,( k6_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(5)) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__rm71_rm1_rm70,axiom,( k6_xcmplx_0(k4_xcmplx_0(71),k4_xcmplx_0(1)) = k4_xcmplx_0(70) )).
fof(rqRealDiff__k6_xcmplx_0__rm72_rm216_r144,axiom,( k6_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(216)) = 144 )).
fof(rqRealDiff__k6_xcmplx_0__rm73_rm12_rm61,axiom,( k6_xcmplx_0(k4_xcmplx_0(73),k4_xcmplx_0(12)) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__rm73_rm18_rm55,axiom,( k6_xcmplx_0(k4_xcmplx_0(73),k4_xcmplx_0(18)) = k4_xcmplx_0(55) )).
fof(rqRealDiff__k6_xcmplx_0__rm73_rm28_rm45,axiom,( k6_xcmplx_0(k4_xcmplx_0(73),k4_xcmplx_0(28)) = k4_xcmplx_0(45) )).
fof(rqRealDiff__k6_xcmplx_0__rm73_rnm2d5_rnm363d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(73),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(363),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm768_rm768_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(768),k4_xcmplx_0(768)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm769_rm768_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(769),k4_xcmplx_0(768)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm77_r3_rm80,axiom,( k6_xcmplx_0(k4_xcmplx_0(77),3) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__rm77_rm18_rm59,axiom,( k6_xcmplx_0(k4_xcmplx_0(77),k4_xcmplx_0(18)) = k4_xcmplx_0(59) )).
fof(rqRealDiff__k6_xcmplx_0__rm78_rm18_rm60,axiom,( k6_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(18)) = k4_xcmplx_0(60) )).
fof(rqRealDiff__k6_xcmplx_0__rm78_rm78_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(78),k4_xcmplx_0(78)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm79_rm18_rm61,axiom,( k6_xcmplx_0(k4_xcmplx_0(79),k4_xcmplx_0(18)) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r0_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),0) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r12_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),12) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r15_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),15) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r1_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),1) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r2_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),2) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r3_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),3) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r4_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),4) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r5_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),5) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r61_rm68,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),61) = k4_xcmplx_0(68) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r64_rm71,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),64) = k4_xcmplx_0(71) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r6_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),6) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r7_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),7) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r81_rm88,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),81) = k4_xcmplx_0(88) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r84_rm91,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),84) = k4_xcmplx_0(91) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r8_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),8) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_r9_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),9) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm10_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(10)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm11_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(11)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm128_r121,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(128)) = 121 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm12_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(12)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm13_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(13)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm14_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(14)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm15_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(15)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm16_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(16)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm18_r11,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(18)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm19_r12,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(19)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm1_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(1)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm21_r14,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(21)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm28_r21,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(28)) = 21 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm2_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(2)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm32_r25,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(32)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm33_r26,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(33)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm35_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(35)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm36_r29,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(36)) = 29 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm3_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(3)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm48_r41,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(48)) = 41 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm4_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(4)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm56_r49,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(56)) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm5_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(5)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm63_r56,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(63)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm640_r633,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(640)) = 633 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm64_r57,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(64)) = 57 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm6_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(6)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm7_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(7)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm8_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(8)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm9_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(9)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rn1d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rn1d5_rnm36d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(36),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rn3d2_rnm17d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rn5d16_rnm117d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(117),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rn7d64_rnm455d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(7,64)) = k7_xcmplx_0(k4_xcmplx_0(455),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rn9d2_rnm23d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm13d2_rnm1d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm1d25_rnm174d25,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(k4_xcmplx_0(174),25) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm22d15_rnm83d15,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(k4_xcmplx_0(83),15) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm245d36_rnm7d36,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(245),36)) = k7_xcmplx_0(k4_xcmplx_0(7),36) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm5d16_rnm107d16,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(k4_xcmplx_0(107),16) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm5d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm7d2_rnm7d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm7d30_rnm203d30,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(7),30)) = k7_xcmplx_0(k4_xcmplx_0(203),30) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm7d64_rnm441d64,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(7),64)) = k7_xcmplx_0(k4_xcmplx_0(441),64) )).
fof(rqRealDiff__k6_xcmplx_0__rm7_rnm8d5_rnm27d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(k4_xcmplx_0(27),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm800_r1_rm801,axiom,( k6_xcmplx_0(k4_xcmplx_0(800),1) = k4_xcmplx_0(801) )).
fof(rqRealDiff__k6_xcmplx_0__rm809_rm1_rm808,axiom,( k6_xcmplx_0(k4_xcmplx_0(809),k4_xcmplx_0(1)) = k4_xcmplx_0(808) )).
fof(rqRealDiff__k6_xcmplx_0__rm80_r16_rm96,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),16) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__rm80_r1_rm81,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),1) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__rm80_r2_rm82,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),2) = k4_xcmplx_0(82) )).
fof(rqRealDiff__k6_xcmplx_0__rm80_r3_rm83,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),3) = k4_xcmplx_0(83) )).
fof(rqRealDiff__k6_xcmplx_0__rm80_rm16_rm64,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(16)) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rm80_rm1_rm79,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(1)) = k4_xcmplx_0(79) )).
fof(rqRealDiff__k6_xcmplx_0__rm80_rm81_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(81)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm80_rm8_rm72,axiom,( k6_xcmplx_0(k4_xcmplx_0(80),k4_xcmplx_0(8)) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_r16_rm97,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),16) = k4_xcmplx_0(97) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_r27_rm108,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),27) = k4_xcmplx_0(108) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_r2_rm83,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),2) = k4_xcmplx_0(83) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_rm16_rm65,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(16)) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_rm1_rm80,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(1)) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_rm27_rm54,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(27)) = k4_xcmplx_0(54) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_rm54_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(54)) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm81_rm81_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),k4_xcmplx_0(81)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm81_rnm27d4_rnm297d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(81),k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(k4_xcmplx_0(297),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm82_rm256_r174,axiom,( k6_xcmplx_0(k4_xcmplx_0(82),k4_xcmplx_0(256)) = 174 )).
fof(rqRealDiff__k6_xcmplx_0__rm83_rm1_rm82,axiom,( k6_xcmplx_0(k4_xcmplx_0(83),k4_xcmplx_0(1)) = k4_xcmplx_0(82) )).
fof(rqRealDiff__k6_xcmplx_0__rm84_r3_rm87,axiom,( k6_xcmplx_0(k4_xcmplx_0(84),3) = k4_xcmplx_0(87) )).
fof(rqRealDiff__k6_xcmplx_0__rm84_r64_rm148,axiom,( k6_xcmplx_0(k4_xcmplx_0(84),64) = k4_xcmplx_0(148) )).
fof(rqRealDiff__k6_xcmplx_0__rm84_r84_rm168,axiom,( k6_xcmplx_0(k4_xcmplx_0(84),84) = k4_xcmplx_0(168) )).
fof(rqRealDiff__k6_xcmplx_0__rm84_rm54_rm30,axiom,( k6_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(54)) = k4_xcmplx_0(30) )).
fof(rqRealDiff__k6_xcmplx_0__rm84_rm84_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(84)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm85_rm17_rm68,axiom,( k6_xcmplx_0(k4_xcmplx_0(85),k4_xcmplx_0(17)) = k4_xcmplx_0(68) )).
fof(rqRealDiff__k6_xcmplx_0__rm89_rm12_rm77,axiom,( k6_xcmplx_0(k4_xcmplx_0(89),k4_xcmplx_0(12)) = k4_xcmplx_0(77) )).
fof(rqRealDiff__k6_xcmplx_0__rm89_rm18_rm71,axiom,( k6_xcmplx_0(k4_xcmplx_0(89),k4_xcmplx_0(18)) = k4_xcmplx_0(71) )).
fof(rqRealDiff__k6_xcmplx_0__rm89_rm33_rm56,axiom,( k6_xcmplx_0(k4_xcmplx_0(89),k4_xcmplx_0(33)) = k4_xcmplx_0(56) )).
fof(rqRealDiff__k6_xcmplx_0__rm89_rnm11d10_rnm879d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(89),k7_xcmplx_0(k4_xcmplx_0(11),10)) = k7_xcmplx_0(k4_xcmplx_0(879),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm89_rnm2d5_rnm443d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(89),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(443),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r100_rm108,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),100) = k4_xcmplx_0(108) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r10_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),10) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r12_rm20,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),12) = k4_xcmplx_0(20) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r14_rm22,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),14) = k4_xcmplx_0(22) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r16_rm24,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),16) = k4_xcmplx_0(24) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r1_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),1) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r24_rm32,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),24) = k4_xcmplx_0(32) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r2_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),2) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r32_rm40,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),32) = k4_xcmplx_0(40) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r3_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),3) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r4_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),4) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r5_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),5) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r6_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),6) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r7_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),7) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r8_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),8) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_r9_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),9) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm10_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(10)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm11_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(11)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm128_r120,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(128)) = 120 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm12_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(12)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm13_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(13)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm14_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(14)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm151_r143,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(151)) = 143 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm16_r8,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(16)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm18_r10,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(18)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm1_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(1)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm24_r16,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(24)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm2_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(2)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm32_r24,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(32)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm33_r25,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(33)) = 25 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm35_r27,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(35)) = 27 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm36_r28,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(36)) = 28 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm3_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(3)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm40_r32,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(40)) = 32 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm48_r40,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(48)) = 40 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm4_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(4)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm512_r504,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(512)) = 504 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm56_r48,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(56)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm57_r49,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(57)) = 49 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm5_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(5)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm63_r55,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(63)) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm64_r56,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(64)) = 56 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm6_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(6)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm7_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(7)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm8_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rm9_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(9)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn1d2_rnm17d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn1d3_rnm25d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(25),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn1d4_rnm33d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(33),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn1d8_rnm65d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(65),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn2d3_rnm26d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn35d3_rnm59d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(59),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn3d2_rnm19d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(19),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn3d4_rnm35d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(35),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rn8d3_rnm32d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(32),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm15d8_rnm49d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(15),8)) = k7_xcmplx_0(k4_xcmplx_0(49),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm1d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm1d3_rnm23d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(23),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm1d4_rnm31d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(31),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm1d8_rnm63d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(63),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm31d4_rnm1d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(31),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm3d2_rnm13d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm3d8_rnm61d8,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(61),8) )).
fof(rqRealDiff__k6_xcmplx_0__rm8_rnm5d2_rnm11d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm12_rm78,axiom,( k6_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(12)) = k4_xcmplx_0(78) )).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm18_rm72,axiom,( k6_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(18)) = k4_xcmplx_0(72) )).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm33_rm57,axiom,( k6_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(33)) = k4_xcmplx_0(57) )).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm57_rm33,axiom,( k6_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(57)) = k4_xcmplx_0(33) )).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm90_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(90)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm9_rm81,axiom,( k6_xcmplx_0(k4_xcmplx_0(90),k4_xcmplx_0(9)) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__rm90_rnm2d5_rnm448d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(90),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(448),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm91_rm12_rm79,axiom,( k6_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(12)) = k4_xcmplx_0(79) )).
fof(rqRealDiff__k6_xcmplx_0__rm91_rm18_rm73,axiom,( k6_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(18)) = k4_xcmplx_0(73) )).
fof(rqRealDiff__k6_xcmplx_0__rm91_rm26_rm65,axiom,( k6_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(26)) = k4_xcmplx_0(65) )).
fof(rqRealDiff__k6_xcmplx_0__rm91_rm28_rm63,axiom,( k6_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(28)) = k4_xcmplx_0(63) )).
fof(rqRealDiff__k6_xcmplx_0__rm91_rm91_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(91),k4_xcmplx_0(91)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm91_rnm2d5_rnm453d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(91),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(453),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm95_rn121d5_rnm596d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(95),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(596),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm96_r192_rm288,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),192) = k4_xcmplx_0(288) )).
fof(rqRealDiff__k6_xcmplx_0__rm96_r288_rm384,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),288) = k4_xcmplx_0(384) )).
fof(rqRealDiff__k6_xcmplx_0__rm96_r384_rm480,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),384) = k4_xcmplx_0(480) )).
fof(rqRealDiff__k6_xcmplx_0__rm96_r96_rm192,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),96) = k4_xcmplx_0(192) )).
fof(rqRealDiff__k6_xcmplx_0__rm96_rm16_rm80,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(16)) = k4_xcmplx_0(80) )).
fof(rqRealDiff__k6_xcmplx_0__rm96_rm192_r96,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(192)) = 96 )).
fof(rqRealDiff__k6_xcmplx_0__rm96_rm288_r192,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(288)) = 192 )).
fof(rqRealDiff__k6_xcmplx_0__rm96_rm384_r288,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(384)) = 288 )).
fof(rqRealDiff__k6_xcmplx_0__rm96_rm576_r480,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(576)) = 480 )).
fof(rqRealDiff__k6_xcmplx_0__rm96_rm96_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(96)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm96_rn121d5_rnm601d5,axiom,( k6_xcmplx_0(k4_xcmplx_0(96),k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(601),5) )).
fof(rqRealDiff__k6_xcmplx_0__rm97_rm1_rm96,axiom,( k6_xcmplx_0(k4_xcmplx_0(97),k4_xcmplx_0(1)) = k4_xcmplx_0(96) )).
fof(rqRealDiff__k6_xcmplx_0__rm99_r100_rm199,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),100) = k4_xcmplx_0(199) )).
fof(rqRealDiff__k6_xcmplx_0__rm99_r10_rm109,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),10) = k4_xcmplx_0(109) )).
fof(rqRealDiff__k6_xcmplx_0__rm99_r1_rm100,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),1) = k4_xcmplx_0(100) )).
fof(rqRealDiff__k6_xcmplx_0__rm99_r2_rm101,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),2) = k4_xcmplx_0(101) )).
fof(rqRealDiff__k6_xcmplx_0__rm99_r3_rm102,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),3) = k4_xcmplx_0(102) )).
fof(rqRealDiff__k6_xcmplx_0__rm99_r9_rm108,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),9) = k4_xcmplx_0(108) )).
fof(rqRealDiff__k6_xcmplx_0__rm99_rm100_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),k4_xcmplx_0(100)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm99_rm9_rm90,axiom,( k6_xcmplx_0(k4_xcmplx_0(99),k4_xcmplx_0(9)) = k4_xcmplx_0(90) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r0_rm9,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),0) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r100_rm109,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),100) = k4_xcmplx_0(109) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r10_rm19,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),10) = k4_xcmplx_0(19) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r18_rm27,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),18) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r1_rm10,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),1) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r2_rm11,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),2) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r3_rm12,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),3) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r4_rm13,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),4) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r52_rm61,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),52) = k4_xcmplx_0(61) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r5_rm14,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),5) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r6_rm15,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),6) = k4_xcmplx_0(15) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r72_rm81,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),72) = k4_xcmplx_0(81) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r7_rm16,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),7) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r8_rm17,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),8) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_r9_rm18,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),9) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm100_r91,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(100)) = 91 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm10_r1,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(10)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm11_r2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(11)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm12_r3,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(12)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm13_r4,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(13)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm14_r5,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(14)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm15_r6,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(15)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm16_r7,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(16)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm18_r9,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(18)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm1_rm8,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(1)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm22_r13,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(22)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm27_r18,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(27)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm2_rm7,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(2)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm32_r23,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(32)) = 23 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm3_rm6,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(3)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm40_r31,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(40)) = 31 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm45_r36,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(45)) = 36 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm48_r39,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(48)) = 39 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm4_rm5,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(4)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm54_r45,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(54)) = 45 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm56_r47,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(56)) = 47 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm5_rm4,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(5)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm63_r54,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(63)) = 54 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm64_r55,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(64)) = 55 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm6_rm3,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(6)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm7_rm2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(7)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm8_rm1,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(8)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rm9_r0,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rn1d2_rnm19d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(19),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rn1d3_rnm28d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(28),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rn1d4_rnm37d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(37),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rn1d6_rnm55d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(55),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rn1d9_rnm82d9,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(82),9) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rn2d3_rnm29d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(29),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rn5d4_rnm41d4,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(41),4) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm13d2_rnm5d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm19d10_rnm71d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(19),10)) = k7_xcmplx_0(k4_xcmplx_0(71),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm1d2_rnm17d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm1d3_rnm26d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm1d6_rnm53d6,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(53),6) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm28d3_rn1d3,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(28),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm3d10_rnm87d10,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(3),10)) = k7_xcmplx_0(k4_xcmplx_0(87),10) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm3d14_rnm123d14,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(3),14)) = k7_xcmplx_0(k4_xcmplx_0(123),14) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm3d2_rnm15d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm5d2_rnm13d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rm9_rnm9d2_rnm9d2,axiom,( k6_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn100d3_r32_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(100,3),32) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn107d27_rn1d27_rn106d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(107,27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(106,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn107d2_rn1d2_r53,axiom,( k6_xcmplx_0(k7_xcmplx_0(107,2),k7_xcmplx_0(1,2)) = 53 )).
fof(rqRealDiff__k6_xcmplx_0__rn109d100_rn159d100_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(109,100),k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_r1_rn7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),1) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_r4_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),4) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_rn14d3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),k7_xcmplx_0(14,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_rn16d3_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),k7_xcmplx_0(16,3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_rn2d3_rn8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_rn4d3_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),k7_xcmplx_0(4,3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_rn5d3_rn5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_rn7d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),k7_xcmplx_0(7,3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn10d3_rnm5d3_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rn10d9_rn1d9_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(10,9),k7_xcmplx_0(1,9)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn11d24_r11_rnm253d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,24),11) = k7_xcmplx_0(k4_xcmplx_0(253),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d24_r1_rnm13d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,24),1) = k7_xcmplx_0(k4_xcmplx_0(13),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d24_rm3_rn83d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,24),k4_xcmplx_0(3)) = k7_xcmplx_0(83,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d2_r1_rn9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,2),1) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d2_r6_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,2),6) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_r1_rnm25d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),1) = k7_xcmplx_0(k4_xcmplx_0(25),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_r25_rnm889d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),25) = k7_xcmplx_0(k4_xcmplx_0(889),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_r5_rnm169d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),5) = k7_xcmplx_0(k4_xcmplx_0(169),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_r6_rnm205d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),6) = k7_xcmplx_0(k4_xcmplx_0(205),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_rm1_rn47d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),k4_xcmplx_0(1)) = k7_xcmplx_0(47,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_rn1d36_rn5d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),k7_xcmplx_0(1,36)) = k7_xcmplx_0(5,18) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_rn1d6_rn5d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),k7_xcmplx_0(1,6)) = k7_xcmplx_0(5,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_rn5d6_rnm19d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),k7_xcmplx_0(5,6)) = k7_xcmplx_0(k4_xcmplx_0(19),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d36_rnm25d36_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,36),k7_xcmplx_0(k4_xcmplx_0(25),36)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn11d3_r11_rnm22d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,3),11) = k7_xcmplx_0(k4_xcmplx_0(22),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d3_r1_rn8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,3),1) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d3_r3_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,3),3) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d3_rn2d3_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,3),k7_xcmplx_0(2,3)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn11d4_r11_rnm33d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,4),11) = k7_xcmplx_0(k4_xcmplx_0(33),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d4_r1_rn7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,4),1) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d4_r3_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,4),3) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d4_rm1_rn15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,4),k4_xcmplx_0(1)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn11d4_rn11d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,4),k7_xcmplx_0(11,4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn11d4_rnm3d4_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(11,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn121d20_rn121d20_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,20),k7_xcmplx_0(121,20)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn121d20_rn1d40_rn241d40,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,20),k7_xcmplx_0(1,40)) = k7_xcmplx_0(241,40) )).
fof(rqRealDiff__k6_xcmplx_0__rn121d20_rnm1d40_rn243d40,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,20),k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(243,40) )).
fof(rqRealDiff__k6_xcmplx_0__rn121d2_rn121d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(121,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn121d40_rn121d40_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,40),k7_xcmplx_0(121,40)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn121d40_rn1d80_rn241d80,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,40),k7_xcmplx_0(1,80)) = k7_xcmplx_0(241,80) )).
fof(rqRealDiff__k6_xcmplx_0__rn121d40_rnm1d80_rn243d80,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,40),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(243,80) )).
fof(rqRealDiff__k6_xcmplx_0__rn121d5_r25_rnm4d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,5),25) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn121d5_rn121d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,5),k7_xcmplx_0(121,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn121d5_rn1d10_rn241d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(241,10) )).
fof(rqRealDiff__k6_xcmplx_0__rn121d5_rn1d5_r24,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,5),k7_xcmplx_0(1,5)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rn121d5_rnm1d10_rn243d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(121,5),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(243,10) )).
fof(rqRealDiff__k6_xcmplx_0__rn12d5_rn12d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(12,5),k7_xcmplx_0(12,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn13d10_r21_rnm197d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,10),21) = k7_xcmplx_0(k4_xcmplx_0(197),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d10_r39_rnm377d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,10),39) = k7_xcmplx_0(k4_xcmplx_0(377),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d16_rnm3d16_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn13d2_r5_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,2),5) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d2_rn13d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,2),k7_xcmplx_0(13,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn13d2_rn5d2_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,2),k7_xcmplx_0(5,2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn13d4_r1_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,4),1) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d4_rm1_rn17d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,4),k4_xcmplx_0(1)) = k7_xcmplx_0(17,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d4_rn1d2_rn11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d4_rn1d4_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,4),k7_xcmplx_0(1,4)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn13d4_rnm1d2_rn15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d6_r12_rnm59d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,6),12) = k7_xcmplx_0(k4_xcmplx_0(59),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d6_r13_rnm65d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,6),13) = k7_xcmplx_0(k4_xcmplx_0(65),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d6_r1_rn7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,6),1) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d6_r26_rnm143d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,6),26) = k7_xcmplx_0(k4_xcmplx_0(143),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d6_r2_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,6),2) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d6_r3_rnm5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,6),3) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn13d6_rn22d3_rnm31d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(13,6),k7_xcmplx_0(22,3)) = k7_xcmplx_0(k4_xcmplx_0(31),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn144d5_r36_rnm36d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(144,5),36) = k7_xcmplx_0(k4_xcmplx_0(36),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn149d5_r11_rn94d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(149,5),11) = k7_xcmplx_0(94,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn149d5_r1_rn144d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(149,5),1) = k7_xcmplx_0(144,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn149d5_r2_rn139d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(149,5),2) = k7_xcmplx_0(139,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn149d5_r3_rn134d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(149,5),3) = k7_xcmplx_0(134,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn149d5_r50_rnm101d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(149,5),50) = k7_xcmplx_0(k4_xcmplx_0(101),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn14d3_rn8d3_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(14,3),k7_xcmplx_0(8,3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn14d3_rnm5d3_rn19d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(14,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(19,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn157d200_rn159d200_rnm1d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(157,200),k7_xcmplx_0(159,200)) = k7_xcmplx_0(k4_xcmplx_0(1),100) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_r1_rn59d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),1) = k7_xcmplx_0(59,100) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_r2_rnm41d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),2) = k7_xcmplx_0(k4_xcmplx_0(41),100) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_r3_rnm141d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),3) = k7_xcmplx_0(k4_xcmplx_0(141),100) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_rn159d100_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),k7_xcmplx_0(159,100)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_rn159d200_rn159d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),k7_xcmplx_0(159,200)) = k7_xcmplx_0(159,200) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_rn1d100_rn79d50,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),k7_xcmplx_0(1,100)) = k7_xcmplx_0(79,50) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_rn1d2_rn109d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),k7_xcmplx_0(1,2)) = k7_xcmplx_0(109,100) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d100_rnm159d100_rn159d50,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,100),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(159,50) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_r0_rn159d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),0) = k7_xcmplx_0(159,200) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_r2_rnm241d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),2) = k7_xcmplx_0(k4_xcmplx_0(241),200) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_r3_rnm441d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),3) = k7_xcmplx_0(k4_xcmplx_0(441),200) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_rn159d100_rnm159d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(159),200) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_rn1d100_rn157d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),k7_xcmplx_0(1,100)) = k7_xcmplx_0(157,200) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_rn1d2_rn59d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),k7_xcmplx_0(1,2)) = k7_xcmplx_0(59,200) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_rn477d200_rnm159d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),k7_xcmplx_0(477,200)) = k7_xcmplx_0(k4_xcmplx_0(159),100) )).
fof(rqRealDiff__k6_xcmplx_0__rn159d200_rnm159d200_rn159d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(159,200),k7_xcmplx_0(k4_xcmplx_0(159),200)) = k7_xcmplx_0(159,100) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d16_r1_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,16),1) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d16_rm1_rn31d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,16),k4_xcmplx_0(1)) = k7_xcmplx_0(31,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d16_rn1d2_rn7d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d2_r1_rn13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,2),1) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d2_r5_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,2),5) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d2_rn121d16_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,2),k7_xcmplx_0(121,16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d2_rn13d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,2),k7_xcmplx_0(13,2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn15d2_rn15d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,2),k7_xcmplx_0(15,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn15d2_rn1d2_r7,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,2),k7_xcmplx_0(1,2)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rn15d2_rn5d2_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,2),k7_xcmplx_0(5,2)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_r15_rnm465d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),15) = k7_xcmplx_0(k4_xcmplx_0(465),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_r1_rnm17d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),1) = k7_xcmplx_0(k4_xcmplx_0(17),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_r4_rnm113d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),4) = k7_xcmplx_0(k4_xcmplx_0(113),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_r5_rnm145d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),5) = k7_xcmplx_0(k4_xcmplx_0(145),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_rn15d2_rnm225d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(225),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_rn1d256_rn119d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),k7_xcmplx_0(1,256)) = k7_xcmplx_0(119,256) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_rn1d2_rnm1d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d32_rn5d2_rnm65d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,32),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(65),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d4_r5_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,4),5) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d4_rm1_rn19d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,4),k4_xcmplx_0(1)) = k7_xcmplx_0(19,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d4_rnm1d2_rn17d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(17,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d4_rnm1d4_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn15d4_rnm3d4_rn9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d4_rnm5d4_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rn15d8_r2_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,8),2) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn15d8_rn3d2_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(15,8),k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn16d3_r16_rnm32d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(16,3),16) = k7_xcmplx_0(k4_xcmplx_0(32),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn16d3_rn4d3_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(16,3),k7_xcmplx_0(4,3)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn16d3_rn8d3_rn8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(16,3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn16d3_rnm128d3_r48,axiom,( k6_xcmplx_0(k7_xcmplx_0(16,3),k7_xcmplx_0(k4_xcmplx_0(128),3)) = 48 )).
fof(rqRealDiff__k6_xcmplx_0__rn16d5_rn16d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(16,5),k7_xcmplx_0(16,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn17d2_rn17d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,2),k7_xcmplx_0(17,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn17d3_rn14d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,3),k7_xcmplx_0(14,3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn17d3_rn7d3_rn10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,3),k7_xcmplx_0(7,3)) = k7_xcmplx_0(10,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_r16_rnm47d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),16) = k7_xcmplx_0(k4_xcmplx_0(47),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_r17_rnm51d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),17) = k7_xcmplx_0(k4_xcmplx_0(51),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_r1_rn13d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),1) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_r2_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),2) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_r4_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),4) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_r8_rnm15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),8) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_r9_rnm19d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),9) = k7_xcmplx_0(k4_xcmplx_0(19),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_rn1d2_rn15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_rn1d4_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),k7_xcmplx_0(1,4)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_rn3d2_rn11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn17d4_rn9d4_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(17,4),k7_xcmplx_0(9,4)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn18d5_rnm2d5_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(18,5),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn19d10_r1_rn9d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,10),1) = k7_xcmplx_0(9,10) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d10_r25_rnm231d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,10),25) = k7_xcmplx_0(k4_xcmplx_0(231),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d10_r2_rnm1d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,10),2) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d10_r57_rnm551d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,10),57) = k7_xcmplx_0(k4_xcmplx_0(551),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d10_r9_rnm71d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,10),9) = k7_xcmplx_0(k4_xcmplx_0(71),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d16_rn3d16_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,16),k7_xcmplx_0(3,16)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn19d27_rn1d3_rn10d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(10,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d8_r1_rn11d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,8),1) = k7_xcmplx_0(11,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d8_r3_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,8),3) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn19d8_rn1d8_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(19,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d100_rn159d100_rnm79d50,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,100),k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(79),50) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d100_rn1d2_rnm49d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,100),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(49),100) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d100_rnm159d100_rn8d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,100),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(8,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_r3_rnm29d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,10),3) = k7_xcmplx_0(k4_xcmplx_0(29),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rm1_rn11d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,10),k4_xcmplx_0(1)) = k7_xcmplx_0(11,10) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rn1d10_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,10),k7_xcmplx_0(1,10)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d128_r1_rnm127d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,128),1) = k7_xcmplx_0(k4_xcmplx_0(127),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d128_rn1d128_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,128),k7_xcmplx_0(1,128)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d128_rn1d16_rnm7d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,128),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(7),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d128_rn1d2_rnm63d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,128),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(63),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r0_rn1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),0) = k7_xcmplx_0(1,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r12_rnm143d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),12) = k7_xcmplx_0(k4_xcmplx_0(143),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r1_rnm11d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),1) = k7_xcmplx_0(k4_xcmplx_0(11),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r2_rnm23d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),2) = k7_xcmplx_0(k4_xcmplx_0(23),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r3_rnm35d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),3) = k7_xcmplx_0(k4_xcmplx_0(35),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r4_rnm47d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),4) = k7_xcmplx_0(k4_xcmplx_0(47),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rm3_rn37d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k4_xcmplx_0(3)) = k7_xcmplx_0(37,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d12_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,12)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d24_rn1d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d2_rnm5d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d60_rn1d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,60)) = k7_xcmplx_0(1,15) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d6_rnm1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn31d12_rnm5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(31,12)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn5d2_rnm29d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(29),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rnm1d3_rn5d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(5,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rnm1d6_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rnm1d8_rn5d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(5,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d14_r3_rnm41d14,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,14),3) = k7_xcmplx_0(k4_xcmplx_0(41),14) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d14_rn1d14_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(1,14)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d14_rn1d2_rnm3d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d14_rn1d7_rnm1d14,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,14),k7_xcmplx_0(1,7)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_r16_rnm255d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),16) = k7_xcmplx_0(k4_xcmplx_0(255),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_r1_rnm15d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),1) = k7_xcmplx_0(k4_xcmplx_0(15),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_r2_rnm31d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),2) = k7_xcmplx_0(k4_xcmplx_0(31),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_r4_rnm63d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),4) = k7_xcmplx_0(k4_xcmplx_0(63),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_r8_rnm127d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),8) = k7_xcmplx_0(k4_xcmplx_0(127),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rm4_rn65d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(4)) = k7_xcmplx_0(65,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rn1d16_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rn1d2_rnm7d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rn1d4_rnm3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rn1d64_rn3d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,64)) = k7_xcmplx_0(3,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rn1d8_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rn3d16_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rnm1d16_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rnm1d2_rn9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(9,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rnm1d4_rn5d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(5,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rnm1d64_rn5d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(5,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rnm1d8_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rnm3d16_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d16_rnm3d64_rn7d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(7,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r0_rn1d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),0) = k7_xcmplx_0(1,18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r18_rnm323d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),18) = k7_xcmplx_0(k4_xcmplx_0(323),18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r1_rnm17d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),1) = k7_xcmplx_0(k4_xcmplx_0(17),18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r2_rnm35d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),2) = k7_xcmplx_0(k4_xcmplx_0(35),18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r3_rnm53d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),3) = k7_xcmplx_0(k4_xcmplx_0(53),18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r6_rnm107d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),6) = k7_xcmplx_0(k4_xcmplx_0(107),18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rm2_rn37d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),k4_xcmplx_0(2)) = k7_xcmplx_0(37,18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rn1d18_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(1,18)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rn1d36_rn1d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(1,36)) = k7_xcmplx_0(1,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rnm1d18_rn1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(1,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rnm1d9_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rnm3d2_rn14d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(14,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rnm4d9_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(k4_xcmplx_0(4),9)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d20_rn1d20_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,20),k7_xcmplx_0(1,20)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r0_rn1d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),0) = k7_xcmplx_0(1,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r12_rnm287d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),12) = k7_xcmplx_0(k4_xcmplx_0(287),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r1_rnm23d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),1) = k7_xcmplx_0(k4_xcmplx_0(23),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r24_rnm575d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),24) = k7_xcmplx_0(k4_xcmplx_0(575),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r2_rnm47d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),2) = k7_xcmplx_0(k4_xcmplx_0(47),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r3_rnm71d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),3) = k7_xcmplx_0(k4_xcmplx_0(71),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r4_rnm95d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),4) = k7_xcmplx_0(k4_xcmplx_0(95),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_r6_rnm143d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),6) = k7_xcmplx_0(k4_xcmplx_0(143),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_rm3_rn73d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),k4_xcmplx_0(3)) = k7_xcmplx_0(73,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_rm4_rn97d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),k4_xcmplx_0(4)) = k7_xcmplx_0(97,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_rn1d168_rn1d28,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,168)) = k7_xcmplx_0(1,28) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_rn1d24_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,24)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_rn1d2_rnm11d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(11),24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_rn1d6_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d24_rnm1d8_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d256_r1_rnm255d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,256),1) = k7_xcmplx_0(k4_xcmplx_0(255),256) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d256_rn1d16_rnm15d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,256),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(15),256) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d256_rn1d256_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,256),k7_xcmplx_0(1,256)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_r1_rnm26d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),1) = k7_xcmplx_0(k4_xcmplx_0(26),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_r2_rnm53d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),2) = k7_xcmplx_0(k4_xcmplx_0(53),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_r3_rnm80d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),3) = k7_xcmplx_0(k4_xcmplx_0(80),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rm2_rn55d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k4_xcmplx_0(2)) = k7_xcmplx_0(55,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rm4_rn109d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k4_xcmplx_0(4)) = k7_xcmplx_0(109,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn1d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(1,27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn1d3_rnm8d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(8),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn1d9_rnm2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn2d27_rnm1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn2d3_rnm17d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(17),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn4d9_rnm11d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(11),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn55d27_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(55,27)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rn8d27_rnm7d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(8,27)) = k7_xcmplx_0(k4_xcmplx_0(7),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rnm1d27_rn2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(2,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d27_rnm2d27_rn1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(1,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_cr1r0_crm1rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_cr1rn1d2_crm1r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2))) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_cr3r0_crm3rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_crm1r0_cr1rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_crm1rnm1d2_cr1r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_crm3r0_cr3rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_crn1d2r0_crnm1d2rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_crn3d2r0_crnm3d2rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_crnm1d2r0_crn1d2rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_crnm3d2r0_crn3d2rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),0) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r10_rnm19d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),10) = k7_xcmplx_0(k4_xcmplx_0(19),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r12_rnm23d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),12) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r16_rnm31d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),16) = k7_xcmplx_0(k4_xcmplx_0(31),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r20_rnm39d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),20) = k7_xcmplx_0(k4_xcmplx_0(39),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r21_rnm41d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),21) = k7_xcmplx_0(k4_xcmplx_0(41),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r24_rnm47d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),24) = k7_xcmplx_0(k4_xcmplx_0(47),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r28_rnm55d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),28) = k7_xcmplx_0(k4_xcmplx_0(55),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),2) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r35_rnm69d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),35) = k7_xcmplx_0(k4_xcmplx_0(69),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r3_rnm5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),3) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r4_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),4) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r5_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),5) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r64_rnm127d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),64) = k7_xcmplx_0(k4_xcmplx_0(127),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r6_rnm11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),6) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r7_rnm13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),7) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r8_rnm15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),8) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r9_rnm17d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),9) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm21_rn43d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(21)) = k7_xcmplx_0(43,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm2_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(2)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm3_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(3)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm4_rn9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(4)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm5_rn11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(5)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm6_rn13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(6)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm7_rn15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(7)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm9_rn19d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(9)) = k7_xcmplx_0(19,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn11d12_rnm5d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(11,12)) = k7_xcmplx_0(k4_xcmplx_0(5),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d100_rn49d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,100)) = k7_xcmplx_0(49,100) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d14_rn3d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,14)) = k7_xcmplx_0(3,7) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d24_rn11d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(11,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d3_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d6_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d7_rn5d14,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,7)) = k7_xcmplx_0(5,14) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d8_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,8)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn2d3_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn2d5_rn1d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(2,5)) = k7_xcmplx_0(1,10) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn35d128_rn29d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(35,128)) = k7_xcmplx_0(29,128) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn35d2_rm17,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(35,2)) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d8_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,8)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn5d16_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,16)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn5d2_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn5d4_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn5d6_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,6)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn5d8_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(5,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn9d16_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(9,16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn9d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(9,2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm159d100_rn209d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(209,100) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d16_rn9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(9,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d3_rn5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d6_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d8_rn5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm27d2_r14,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(27),2)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm35d2_r18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(35),2)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d4_rn5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d8_rn7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm5d16_rn13d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(13,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm5d2_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm5d4_rn7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d30_rn5d6_rnm4d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,30),k7_xcmplx_0(5,6)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d32_r1_rnm31d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,32),1) = k7_xcmplx_0(k4_xcmplx_0(31),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d32_rn1d16_rnm1d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,32),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d32_rn1d2_rnm15d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(15),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d32_rn1d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,32),k7_xcmplx_0(1,32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rm1_rn37d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,36),k4_xcmplx_0(1)) = k7_xcmplx_0(37,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rn1d18_rnm1d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,36),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(1),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rn1d36_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,36),k7_xcmplx_0(1,36)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rn1d6_rnm5d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,36),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(5),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rnm25d36_rn13d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,36),k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(13,18) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),0) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r12_rnm35d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),12) = k7_xcmplx_0(k4_xcmplx_0(35),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r16_rnm47d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),16) = k7_xcmplx_0(k4_xcmplx_0(47),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r18_rnm53d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),18) = k7_xcmplx_0(k4_xcmplx_0(53),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),1) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r27_rnm80d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),27) = k7_xcmplx_0(k4_xcmplx_0(80),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r2_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),2) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r3_rnm8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),3) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r4_rnm11d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),4) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r6_rnm17d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),6) = k7_xcmplx_0(k4_xcmplx_0(17),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r8_rnm23d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),8) = k7_xcmplx_0(k4_xcmplx_0(23),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r9_rnm26d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),9) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rm12_rn37d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(12)) = k7_xcmplx_0(37,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(1)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rm9_rn28d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(9)) = k7_xcmplx_0(28,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn10d3_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(10,3)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d2_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d4_rn1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d6_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d9_rn2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,9)) = k7_xcmplx_0(2,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d9_rn1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,9)) = k7_xcmplx_0(1,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn3d2_rnm7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(4,3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn4d9_rnm1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn5d3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn8d3_rnm7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d2_rn5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d6_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm35d3_r12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(35),3)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm4d3_rn5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm5d3_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm8d3_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d40_rn1d40_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,40),k7_xcmplx_0(1,40)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d42_r1_rnm41d42,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,42),1) = k7_xcmplx_0(k4_xcmplx_0(41),42) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d42_r2_rnm83d42,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,42),2) = k7_xcmplx_0(k4_xcmplx_0(83),42) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d42_r3_rnm125d42,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,42),3) = k7_xcmplx_0(k4_xcmplx_0(125),42) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d42_rm3_rn127d42,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,42),k4_xcmplx_0(3)) = k7_xcmplx_0(127,42) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d42_rn1d42_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,42),k7_xcmplx_0(1,42)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d48_rm1_rn49d48,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,48),k4_xcmplx_0(1)) = k7_xcmplx_0(49,48) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d48_rn1d24_rnm1d48,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,48),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),48) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d48_rn1d48_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,48),k7_xcmplx_0(1,48)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d48_rnm1d12_rn5d48,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,48),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(5,48) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d48_rnm1d24_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,48),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_cr1r0_crm1rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,4)) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),0) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r12_rnm47d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),12) = k7_xcmplx_0(k4_xcmplx_0(47),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r16_rnm63d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),16) = k7_xcmplx_0(k4_xcmplx_0(63),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),1) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r25_rnm99d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),25) = k7_xcmplx_0(k4_xcmplx_0(99),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r2_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),2) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r3_rnm11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),3) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r4_rnm15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),4) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r5_rnm19d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),5) = k7_xcmplx_0(k4_xcmplx_0(19),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r64_rnm255d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),64) = k7_xcmplx_0(k4_xcmplx_0(255),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r6_rnm23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),6) = k7_xcmplx_0(k4_xcmplx_0(23),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r8_rnm31d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),8) = k7_xcmplx_0(k4_xcmplx_0(31),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_r9_rnm35d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),9) = k7_xcmplx_0(k4_xcmplx_0(35),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rm1_rn5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(1)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rm2_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(2)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rm3_rn13d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(3)) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rm4_rn17d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(4)) = k7_xcmplx_0(17,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rm64_rn257d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(64)) = k7_xcmplx_0(257,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rm6_rn25d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(6)) = k7_xcmplx_0(25,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn13d4_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(13,4)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d12_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,12)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d16_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d3_rnm1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d8_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn25d16_rnm21d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(25,16)) = k7_xcmplx_0(k4_xcmplx_0(21),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d16_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,16)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d2_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d8_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn5d4_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(5,4)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn9d4_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(9,4)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d16_rn5d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(5,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d8_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d8_rn5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm5d4_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_r1_rnm4d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),1) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_r25_rnm124d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),25) = k7_xcmplx_0(k4_xcmplx_0(124),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_r2_rnm9d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),2) = k7_xcmplx_0(k4_xcmplx_0(9),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_r6_rnm29d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),6) = k7_xcmplx_0(k4_xcmplx_0(29),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rm1_rn6d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),k4_xcmplx_0(1)) = k7_xcmplx_0(6,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rn1d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(1,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rn1d6_rn1d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,30) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rnm4d5_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(k4_xcmplx_0(4),5)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_r1_rnm63d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),1) = k7_xcmplx_0(k4_xcmplx_0(63),64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rn1d16_rnm3d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rn1d64_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(1,64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rn1d8_rnm7d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rnm1d16_rn5d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(5,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rnm1d64_rn1d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(1,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rnm1d8_rn9d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(9,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rnm3d16_rn13d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(13,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rnm3d64_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rnm63d64_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(63),64)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rnm7d64_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(k4_xcmplx_0(7),64)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r12_rnm71d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),12) = k7_xcmplx_0(k4_xcmplx_0(71),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r18_rnm107d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),18) = k7_xcmplx_0(k4_xcmplx_0(107),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r1_rnm5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),1) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r2_rnm11d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),2) = k7_xcmplx_0(k4_xcmplx_0(11),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r3_rnm17d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),3) = k7_xcmplx_0(k4_xcmplx_0(17),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r4_rnm23d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),4) = k7_xcmplx_0(k4_xcmplx_0(23),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r6_rnm35d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),6) = k7_xcmplx_0(k4_xcmplx_0(35),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r9_rnm53d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),9) = k7_xcmplx_0(k4_xcmplx_0(53),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm12_rn73d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(12)) = k7_xcmplx_0(73,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm1_rn7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(1)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm2_rn13d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(2)) = k7_xcmplx_0(13,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm3_rn19d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(3)) = k7_xcmplx_0(19,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm4_rn25d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(4)) = k7_xcmplx_0(25,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm8_rn49d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(8)) = k7_xcmplx_0(49,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm9_rn55d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(9)) = k7_xcmplx_0(55,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d2_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d36_rn5d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,36)) = k7_xcmplx_0(5,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d3_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d8_rn1d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn2d3_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn55d6_rm9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(55,6)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rnm1d2_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rnm1d3_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rnm1d6_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d729_rn1d729_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,729),k7_xcmplx_0(1,729)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d729_rn2d729_rnm1d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,729),k7_xcmplx_0(2,729)) = k7_xcmplx_0(k4_xcmplx_0(1),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d729_rnm1d729_rn2d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,729),k7_xcmplx_0(k4_xcmplx_0(1),729)) = k7_xcmplx_0(2,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r1_rnm6d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),1) = k7_xcmplx_0(k4_xcmplx_0(6),7) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r3_rnm20d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),3) = k7_xcmplx_0(k4_xcmplx_0(20),7) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r6_rnm41d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),6) = k7_xcmplx_0(k4_xcmplx_0(41),7) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r7_rnm48d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),7) = k7_xcmplx_0(k4_xcmplx_0(48),7) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn1d27_rn20d189,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(1,27)) = k7_xcmplx_0(20,189) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn1d3_rnm4d21,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(4),21) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn1d7_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(1,7)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn1d9_rn2d63,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(1,9)) = k7_xcmplx_0(2,63) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn2d3_rnm11d21,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(11),21) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn49d81_rnm262d567,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(49,81)) = k7_xcmplx_0(k4_xcmplx_0(262),567) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn4d9_rnm19d63,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(19),63) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn7d9_rnm40d63,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(40),63) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn8d27_rnm29d189,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(8,27)) = k7_xcmplx_0(k4_xcmplx_0(29),189) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rnm7d27_rn76d189,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(76,189) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d81_rn1d81_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,81),k7_xcmplx_0(1,81)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r10_rnm79d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),10) = k7_xcmplx_0(k4_xcmplx_0(79),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r14_rnm111d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),14) = k7_xcmplx_0(k4_xcmplx_0(111),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r1_rnm7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),1) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r2_rnm15d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),2) = k7_xcmplx_0(k4_xcmplx_0(15),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r3_rnm23d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),3) = k7_xcmplx_0(k4_xcmplx_0(23),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r4_rnm31d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),4) = k7_xcmplx_0(k4_xcmplx_0(31),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r5_rnm39d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),5) = k7_xcmplx_0(k4_xcmplx_0(39),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r64_rnm511d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),64) = k7_xcmplx_0(k4_xcmplx_0(511),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r6_rnm47d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),6) = k7_xcmplx_0(k4_xcmplx_0(47),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r7_rnm55d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),7) = k7_xcmplx_0(k4_xcmplx_0(55),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_r8_rnm63d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),8) = k7_xcmplx_0(k4_xcmplx_0(63),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rm1_rn9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(1)) = k7_xcmplx_0(9,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn1d16_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn1d24_rn1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn1d2_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn1d4_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn1d64_rn7d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,64)) = k7_xcmplx_0(7,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn1d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn3d16_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn3d4_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn3d8_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn7d8_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(7,8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rn9d8_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(9,8)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rnm1d16_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rnm1d8_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rnm3d4_rn7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rnm3d8_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d8_rnm63d8_r8,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(63),8)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_r10_rnm89d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),10) = k7_xcmplx_0(k4_xcmplx_0(89),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_r1_rnm8d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),1) = k7_xcmplx_0(k4_xcmplx_0(8),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_r2_rnm17d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),2) = k7_xcmplx_0(k4_xcmplx_0(17),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_r3_rnm26d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),3) = k7_xcmplx_0(k4_xcmplx_0(26),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_r9_rnm80d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),9) = k7_xcmplx_0(k4_xcmplx_0(80),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_rm1_rn10d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),k4_xcmplx_0(1)) = k7_xcmplx_0(10,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_rn1d3_rnm2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_rn1d9_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(1,9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_rn4d9_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn1d9_rnm1d9_rn2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(2,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn203d10_r21_rnm7d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(203,10),21) = k7_xcmplx_0(k4_xcmplx_0(7),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn20d3_rnm5d3_rn25d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(20,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(25,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d128_r1_rnm107d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,128),1) = k7_xcmplx_0(k4_xcmplx_0(107),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d128_rn1d2_rnm43d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,128),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(43),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d2_r1_rn19d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,2),1) = k7_xcmplx_0(19,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d2_r21_rnm21d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,2),21) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d2_rn1d2_r10,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,2),k7_xcmplx_0(1,2)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rn21d2_rn21d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,2),k7_xcmplx_0(21,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn21d2_rn35d2_rm7,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,2),k7_xcmplx_0(35,2)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d4_rm1_rn25d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,4),k4_xcmplx_0(1)) = k7_xcmplx_0(25,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d4_rnm1d2_rn23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d64_r1_rnm43d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,64),1) = k7_xcmplx_0(k4_xcmplx_0(43),64) )).
fof(rqRealDiff__k6_xcmplx_0__rn21d64_rn21d64_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(21,64),k7_xcmplx_0(21,64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn22d15_r13_rnm173d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,15),13) = k7_xcmplx_0(k4_xcmplx_0(173),15) )).
fof(rqRealDiff__k6_xcmplx_0__rn22d15_r1_rn7d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,15),1) = k7_xcmplx_0(7,15) )).
fof(rqRealDiff__k6_xcmplx_0__rn22d15_r2_rnm8d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,15),2) = k7_xcmplx_0(k4_xcmplx_0(8),15) )).
fof(rqRealDiff__k6_xcmplx_0__rn22d15_r32_rnm458d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,15),32) = k7_xcmplx_0(k4_xcmplx_0(458),15) )).
fof(rqRealDiff__k6_xcmplx_0__rn22d15_r3_rnm23d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,15),3) = k7_xcmplx_0(k4_xcmplx_0(23),15) )).
fof(rqRealDiff__k6_xcmplx_0__rn22d15_r44_rnm638d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,15),44) = k7_xcmplx_0(k4_xcmplx_0(638),15) )).
fof(rqRealDiff__k6_xcmplx_0__rn22d15_r7_rnm83d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,15),7) = k7_xcmplx_0(k4_xcmplx_0(83),15) )).
fof(rqRealDiff__k6_xcmplx_0__rn22d5_rn2d5_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(22,5),k7_xcmplx_0(2,5)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn23d8_r3_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(23,8),3) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn24d5_r1_rn19d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(24,5),1) = k7_xcmplx_0(19,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn24d5_r24_rnm96d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(24,5),24) = k7_xcmplx_0(k4_xcmplx_0(96),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn24d5_r2_rn14d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(24,5),2) = k7_xcmplx_0(14,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn24d5_r6_rnm6d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(24,5),6) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn24d5_rn24d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(24,5),k7_xcmplx_0(24,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn253d16_rnm3d16_r16,axiom,( k6_xcmplx_0(k7_xcmplx_0(253,16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rn257d4_rn1d4_r64,axiom,( k6_xcmplx_0(k7_xcmplx_0(257,4),k7_xcmplx_0(1,4)) = 64 )).
fof(rqRealDiff__k6_xcmplx_0__rn259d16_rn3d16_r16,axiom,( k6_xcmplx_0(k7_xcmplx_0(259,16),k7_xcmplx_0(3,16)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_r0_rn25d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),0) = k7_xcmplx_0(25,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_r16_rnm231d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),16) = k7_xcmplx_0(k4_xcmplx_0(231),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_r1_rn9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),1) = k7_xcmplx_0(9,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_r25_rnm375d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),25) = k7_xcmplx_0(k4_xcmplx_0(375),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_r3_rnm23d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),3) = k7_xcmplx_0(k4_xcmplx_0(23),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_r4_rnm39d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),4) = k7_xcmplx_0(k4_xcmplx_0(39),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_r9_rnm119d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),9) = k7_xcmplx_0(k4_xcmplx_0(119),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_rn1d16_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_rn1d4_rn21d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),k7_xcmplx_0(1,4)) = k7_xcmplx_0(21,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_rn25d4_rnm75d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),k7_xcmplx_0(25,4)) = k7_xcmplx_0(k4_xcmplx_0(75),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_rn3d4_rn13d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),k7_xcmplx_0(3,4)) = k7_xcmplx_0(13,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_rn9d16_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),k7_xcmplx_0(9,16)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn25d16_rnm1d2_rn33d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(33,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d2_r25_rnm25d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,2),25) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d2_rm25_rn75d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,2),k4_xcmplx_0(25)) = k7_xcmplx_0(75,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_r1_rnm11d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),1) = k7_xcmplx_0(k4_xcmplx_0(11),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_r25_rnm875d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),25) = k7_xcmplx_0(k4_xcmplx_0(875),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_r5_rnm155d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),5) = k7_xcmplx_0(k4_xcmplx_0(155),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_r6_rnm191d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),6) = k7_xcmplx_0(k4_xcmplx_0(191),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_rm1_rn61d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),k4_xcmplx_0(1)) = k7_xcmplx_0(61,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_rn11d36_rn7d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),k7_xcmplx_0(11,36)) = k7_xcmplx_0(7,18) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_rn1d36_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),k7_xcmplx_0(1,36)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_rn1d6_rn19d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),k7_xcmplx_0(1,6)) = k7_xcmplx_0(19,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_rn5d6_rnm5d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),k7_xcmplx_0(5,6)) = k7_xcmplx_0(k4_xcmplx_0(5),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d36_rnm25d36_rn25d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,36),k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(25,18) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_r16_rnm39d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),16) = k7_xcmplx_0(k4_xcmplx_0(39),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_r1_rn21d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),1) = k7_xcmplx_0(21,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_r25_rnm75d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),25) = k7_xcmplx_0(k4_xcmplx_0(75),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_r4_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),4) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_r9_rnm11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),9) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_rn1d16_rn99d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(99,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_rn1d2_rn23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_rn1d4_r6,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(1,4)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_rn25d16_rn75d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(25,16)) = k7_xcmplx_0(75,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_rn9d16_rn91d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(9,16)) = k7_xcmplx_0(91,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn25d4_rnm1d2_rn27d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(25,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(27,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn26d27_rn1d3_rn17d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(26,27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(17,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn26d3_r9_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(26,3),9) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn26d3_rn26d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(26,3),k7_xcmplx_0(26,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn26d3_rnm1d3_r9,axiom,( k6_xcmplx_0(k7_xcmplx_0(26,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rn274d5_r11_rn219d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(274,5),11) = k7_xcmplx_0(219,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn274d5_r1_rn269d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(274,5),1) = k7_xcmplx_0(269,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn274d5_r3_rn259d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(274,5),3) = k7_xcmplx_0(259,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn274d5_r50_rn24d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(274,5),50) = k7_xcmplx_0(24,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn27d2_crm1r0_cr1rn27d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(27,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn27d2_r1_rn25d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,2),1) = k7_xcmplx_0(25,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn27d2_rn1d2_r13,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,2),k7_xcmplx_0(1,2)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rn27d4_r1_rn23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,4),1) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn27d4_r54_rnm189d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,4),54) = k7_xcmplx_0(k4_xcmplx_0(189),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn27d4_r6_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,4),6) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn27d4_r81_rnm297d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,4),81) = k7_xcmplx_0(k4_xcmplx_0(297),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn27d4_rn1d4_rn13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(27,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn28d27_rn1d27_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(28,27),k7_xcmplx_0(1,27)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn28d3_r9_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(28,3),9) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d27_rn2d27_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,27),k7_xcmplx_0(2,27)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r0_rn29d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),0) = k7_xcmplx_0(29,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r12_rnm403d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),12) = k7_xcmplx_0(k4_xcmplx_0(403),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r18_rnm619d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),18) = k7_xcmplx_0(k4_xcmplx_0(619),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r1_rnm7d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),1) = k7_xcmplx_0(k4_xcmplx_0(7),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r2_rnm43d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),2) = k7_xcmplx_0(k4_xcmplx_0(43),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r3_rnm79d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),3) = k7_xcmplx_0(k4_xcmplx_0(79),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r4_rnm115d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),4) = k7_xcmplx_0(k4_xcmplx_0(115),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_r6_rnm187d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),6) = k7_xcmplx_0(k4_xcmplx_0(187),36) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_rn1d4_rn5d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn29d36_rn29d36_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,36),k7_xcmplx_0(29,36)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn29d5_r6_rnm1d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(29,5),6) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d27_rm2_rn56d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,27),k4_xcmplx_0(2)) = k7_xcmplx_0(56,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d27_rn1d27_rn1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(1,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d27_rn2d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,27),k7_xcmplx_0(2,27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn2d27_rn4d27_rnm2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,27),k7_xcmplx_0(4,27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d27_rn56d27_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,27),k7_xcmplx_0(56,27)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d27_rnm2d27_rn4d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(4,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d27_rnm52d27_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,27),k7_xcmplx_0(k4_xcmplx_0(52),27)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),0) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),1) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),2) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r3_rnm7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),3) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r4_rnm10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),4) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r6_rnm16d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),6) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r9_rnm25d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),9) = k7_xcmplx_0(k4_xcmplx_0(25),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rm1_rn5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k4_xcmplx_0(1)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d27_rn17d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,27)) = k7_xcmplx_0(17,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d2_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d7_rn11d21,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,7)) = k7_xcmplx_0(11,21) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d9_rn5d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,9)) = k7_xcmplx_0(5,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d9_rn4d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,9)) = k7_xcmplx_0(4,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn343d729_rn143d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(343,729)) = k7_xcmplx_0(143,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn3d2_rnm5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn49d729_rn437d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(49,729)) = k7_xcmplx_0(437,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn49d81_rn5d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(49,81)) = k7_xcmplx_0(5,81) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn4d9_rn2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(4,9)) = k7_xcmplx_0(2,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn7d3_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn7d9_rnm1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn8d27_rn10d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(8,27)) = k7_xcmplx_0(10,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn8d3_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(8,3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d6_rn5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm5d3_rn7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm7d27_rn25d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(25,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_r12_rnm58d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),12) = k7_xcmplx_0(k4_xcmplx_0(58),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_r1_rnm3d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),1) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_r2_rnm8d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),2) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_r30_rnm148d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),30) = k7_xcmplx_0(k4_xcmplx_0(148),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_r3_rnm13d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),3) = k7_xcmplx_0(k4_xcmplx_0(13),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_r6_rnm28d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),6) = k7_xcmplx_0(k4_xcmplx_0(28),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_rn12d5_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(12,5)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_rn1d3_rn1d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,15) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_rn2d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(2,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_rn7d5_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(7,5)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d5_rnm1d10_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,5),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d729_rn1d729_rn1d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,729),k7_xcmplx_0(1,729)) = k7_xcmplx_0(1,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d7_r12_rnm82d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,7),12) = k7_xcmplx_0(k4_xcmplx_0(82),7) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d7_rn2d7_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,7),k7_xcmplx_0(2,7)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_r1_rnm7d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),1) = k7_xcmplx_0(k4_xcmplx_0(7),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_r2_rnm16d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),2) = k7_xcmplx_0(k4_xcmplx_0(16),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_r3_rnm25d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),3) = k7_xcmplx_0(k4_xcmplx_0(25),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_r9_rnm79d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),9) = k7_xcmplx_0(k4_xcmplx_0(79),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_rm1_rn11d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),k4_xcmplx_0(1)) = k7_xcmplx_0(11,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_rn1d3_rnm1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_rn1d9_rn1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn2d9_rn2d9_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(2,9),k7_xcmplx_0(2,9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn309d10_rm57_rn879d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(309,10),k4_xcmplx_0(57)) = k7_xcmplx_0(879,10) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_r12_rnm113d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),12) = k7_xcmplx_0(k4_xcmplx_0(113),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_r1_rn19d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),1) = k7_xcmplx_0(19,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_r3_rnm5d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),3) = k7_xcmplx_0(k4_xcmplx_0(5),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_r4_rnm17d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),4) = k7_xcmplx_0(k4_xcmplx_0(17),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_rm3_rn67d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),k4_xcmplx_0(3)) = k7_xcmplx_0(67,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_rn1d24_rn61d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),k7_xcmplx_0(1,24)) = k7_xcmplx_0(61,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_rn1d2_rn25d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),k7_xcmplx_0(1,2)) = k7_xcmplx_0(25,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_rn1d6_rn29d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),k7_xcmplx_0(1,6)) = k7_xcmplx_0(29,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_rn31d12_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),k7_xcmplx_0(31,12)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn31d12_rnm1d8_rn65d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,12),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(65,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d30_r2_rnm29d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,30),2) = k7_xcmplx_0(k4_xcmplx_0(29),30) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d30_r31_rnm899d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,30),31) = k7_xcmplx_0(k4_xcmplx_0(899),30) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d30_r6_rnm149d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,30),6) = k7_xcmplx_0(k4_xcmplx_0(149),30) )).
fof(rqRealDiff__k6_xcmplx_0__rn31d4_rn31d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,4),k7_xcmplx_0(31,4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn31d72_rn1d18_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(31,72),k7_xcmplx_0(1,18)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn32d5_rn32d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(32,5),k7_xcmplx_0(32,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn32d81_rn1d3_rn5d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(32,81),k7_xcmplx_0(1,3)) = k7_xcmplx_0(5,81) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_r1_rnm386d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),1) = k7_xcmplx_0(k4_xcmplx_0(386),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn1d27_rn316d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(1,27)) = k7_xcmplx_0(316,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn1d3_rn100d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(1,3)) = k7_xcmplx_0(100,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn1d9_rn262d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(1,9)) = k7_xcmplx_0(262,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn2d3_rnm143d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(143),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn49d81_rnm98d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(49,81)) = k7_xcmplx_0(k4_xcmplx_0(98),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn4d9_rn19d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(4,9)) = k7_xcmplx_0(19,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn7d9_rnm224d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(224),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rn8d27_rn127d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(8,27)) = k7_xcmplx_0(127,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn343d729_rnm7d27_rn532d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(343,729),k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(532,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn34d27_rn1d3_rn25d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(34,27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(25,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_r1_rnm93d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),1) = k7_xcmplx_0(k4_xcmplx_0(93),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_r3_rnm349d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),3) = k7_xcmplx_0(k4_xcmplx_0(349),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_r4_rnm477d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),4) = k7_xcmplx_0(k4_xcmplx_0(477),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_r6_rnm733d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),6) = k7_xcmplx_0(k4_xcmplx_0(733),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_r7_rnm861d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),7) = k7_xcmplx_0(k4_xcmplx_0(861),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_r8_rnm989d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),8) = k7_xcmplx_0(k4_xcmplx_0(989),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_rm1_rn163d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),k4_xcmplx_0(1)) = k7_xcmplx_0(163,128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_rn1d2_rnm29d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(29),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d128_rnm1d2_rn99d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,128),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(99,128) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d18_r2_rnm1d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,18),2) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d18_rn1d18_rn17d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,18),k7_xcmplx_0(1,18)) = k7_xcmplx_0(17,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d18_rn1d9_rn11d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,18),k7_xcmplx_0(1,9)) = k7_xcmplx_0(11,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d18_rn35d18_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,18),k7_xcmplx_0(35,18)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d18_rn3d2_rn4d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,18),k7_xcmplx_0(3,2)) = k7_xcmplx_0(4,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d18_rn4d9_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,18),k7_xcmplx_0(4,9)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d18_rnm1d18_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,18),k7_xcmplx_0(k4_xcmplx_0(1),18)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r1_rn33d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),1) = k7_xcmplx_0(33,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r21_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),21) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r28_rnm21d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),28) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r35_rnm35d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),35) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r3_rn29d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),3) = k7_xcmplx_0(29,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r4_rn27d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),4) = k7_xcmplx_0(27,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r6_rn23d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),6) = k7_xcmplx_0(23,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r7_rn21d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),7) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_r8_rn19d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),8) = k7_xcmplx_0(19,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_rm1_rn37d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),k4_xcmplx_0(1)) = k7_xcmplx_0(37,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_rm21_rn77d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),k4_xcmplx_0(21)) = k7_xcmplx_0(77,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_rn1d2_r17,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),k7_xcmplx_0(1,2)) = 17 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_rn35d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),k7_xcmplx_0(35,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_rnm1d2_r18,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d2_rnm35d2_r35,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,2),k7_xcmplx_0(k4_xcmplx_0(35),2)) = 35 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d32_rn3d32_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,32),k7_xcmplx_0(3,32)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d3_r12_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,3),12) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d3_r9_rn8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,3),9) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d3_rn1d3_rn34d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(34,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d3_rn2d3_r11,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,3),k7_xcmplx_0(2,3)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d3_rn35d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,3),k7_xcmplx_0(35,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d3_rn8d3_r9,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,3),k7_xcmplx_0(8,3)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d3_rnm1d3_r12,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 12 )).
fof(rqRealDiff__k6_xcmplx_0__rn35d64_r1_rnm29d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,64),1) = k7_xcmplx_0(k4_xcmplx_0(29),64) )).
fof(rqRealDiff__k6_xcmplx_0__rn35d64_rn35d64_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(35,64),k7_xcmplx_0(35,64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn386d729_rn1d3_rn143d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(386,729),k7_xcmplx_0(1,3)) = k7_xcmplx_0(143,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d10_r9_rnm87d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,10),9) = k7_xcmplx_0(k4_xcmplx_0(87),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d10_rn3d10_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,10),k7_xcmplx_0(3,10)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d128_rn3d16_rnm21d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,128),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(21),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d128_rnm3d128_rn3d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,128),k7_xcmplx_0(k4_xcmplx_0(3),128)) = k7_xcmplx_0(3,64) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d128_rnm3d16_rn27d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,128),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(27,128) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d14_r9_rnm123d14,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,14),9) = k7_xcmplx_0(k4_xcmplx_0(123),14) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d14_rn3d14_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,14),k7_xcmplx_0(3,14)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_r16_rnm253d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),16) = k7_xcmplx_0(k4_xcmplx_0(253),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_r1_rnm13d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),1) = k7_xcmplx_0(k4_xcmplx_0(13),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_r2_rnm29d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),2) = k7_xcmplx_0(k4_xcmplx_0(29),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_r3_rnm45d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),3) = k7_xcmplx_0(k4_xcmplx_0(45),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_r6_rnm93d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),6) = k7_xcmplx_0(k4_xcmplx_0(93),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rm3_rn51d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k4_xcmplx_0(3)) = k7_xcmplx_0(51,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rn1d16_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rn1d8_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rn3d16_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(3,16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rn3d32_rn3d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(3,32)) = k7_xcmplx_0(3,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rnm21d16_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(21),16)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rnm3d16_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rnm3d32_rn9d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(9,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rnm3d8_rn9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(9,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d16_rnm45d16_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(45),16)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d256_r1_rnm253d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,256),1) = k7_xcmplx_0(k4_xcmplx_0(253),256) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d256_r3_rnm765d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,256),3) = k7_xcmplx_0(k4_xcmplx_0(765),256) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d256_rm3_rn771d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,256),k4_xcmplx_0(3)) = k7_xcmplx_0(771,256) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d256_rn3d256_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,256),k7_xcmplx_0(3,256)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d256_rnm3d256_rn3d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,256),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(3,128) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_cr1r0_crm1rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_crm1r0_cr1rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(3,2)) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),0) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r15_rnm27d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),15) = k7_xcmplx_0(k4_xcmplx_0(27),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),1) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),3) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r4_rnm5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),4) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r5_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),5) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r6_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),6) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r9_rnm15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),9) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rm1_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(1)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rm2_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(2)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rm3_rn9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(3)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rm4_rn11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(4)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rm6_rn15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(6)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d3_rn7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d4_rn5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn5d2_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(5,2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn5d4_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(5,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn9d2_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(9,2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm5d2_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm9d2_r6,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d32_rn3d16_rnm3d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,32),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d32_rn3d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,32),k7_xcmplx_0(3,32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d32_rnm3d16_rn9d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,32),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(9,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d32_rnm93d32_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,32),k7_xcmplx_0(k4_xcmplx_0(93),32)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d32_rnm9d32_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,32),k7_xcmplx_0(k4_xcmplx_0(9),32)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),0) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r10_rnm37d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),10) = k7_xcmplx_0(k4_xcmplx_0(37),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r12_rnm45d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),12) = k7_xcmplx_0(k4_xcmplx_0(45),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r16_rnm61d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),16) = k7_xcmplx_0(k4_xcmplx_0(61),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),1) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r2_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),2) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r3_rnm9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),3) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r4_rnm13d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),4) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r5_rnm17d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),5) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r6_rnm21d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),6) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r8_rnm29d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),8) = k7_xcmplx_0(k4_xcmplx_0(29),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_r9_rnm33d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),9) = k7_xcmplx_0(k4_xcmplx_0(33),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rm1_rn7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(1)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rm2_rn11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(2)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rm3_rn15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(3)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn121d160_rnm1d160,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(121,160)) = k7_xcmplx_0(k4_xcmplx_0(1),160) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d16_rn11d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(11,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d8_rn5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn27d16_rnm15d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(27,16)) = k7_xcmplx_0(k4_xcmplx_0(15),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn2d3_rn1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,12) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d16_rn9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,16)) = k7_xcmplx_0(9,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d2_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d8_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,8)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn5d4_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn7d8_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(7,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn9d16_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(9,16)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn9d4_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(9,4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn9d8_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(9,8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d2_rn5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d8_rn7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d4_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm3d8_rn9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(9,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm5d4_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_r0_rn3d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),0) = k7_xcmplx_0(3,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_r10_rnm47d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),10) = k7_xcmplx_0(k4_xcmplx_0(47),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_r18_rnm87d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),18) = k7_xcmplx_0(k4_xcmplx_0(87),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_r1_rnm2d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),1) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_r3_rnm12d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),3) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_r5_rnm22d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),5) = k7_xcmplx_0(k4_xcmplx_0(22),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_r6_rnm27d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),6) = k7_xcmplx_0(k4_xcmplx_0(27),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_rm1_rn8d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),k4_xcmplx_0(1)) = k7_xcmplx_0(8,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_rn1d10_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d5_rn3d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,5),k7_xcmplx_0(3,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d7_r18_rnm123d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,7),18) = k7_xcmplx_0(k4_xcmplx_0(123),7) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d7_rn3d7_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,7),k7_xcmplx_0(3,7)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r16_rnm125d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),16) = k7_xcmplx_0(k4_xcmplx_0(125),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r1_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),1) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r2_rnm13d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),2) = k7_xcmplx_0(k4_xcmplx_0(13),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r3_rnm21d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),3) = k7_xcmplx_0(k4_xcmplx_0(21),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r4_rnm29d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),4) = k7_xcmplx_0(k4_xcmplx_0(29),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r5_rnm37d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),5) = k7_xcmplx_0(k4_xcmplx_0(37),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r6_rnm45d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),6) = k7_xcmplx_0(k4_xcmplx_0(45),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_r8_rnm61d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),8) = k7_xcmplx_0(k4_xcmplx_0(61),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rm1_rn11d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k4_xcmplx_0(1)) = k7_xcmplx_0(11,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rm3_rn27d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k4_xcmplx_0(3)) = k7_xcmplx_0(27,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn19d8_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(19,8)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn1d2_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn1d4_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn1d8_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn3d16_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(3,16)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn3d2_rnm9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn3d4_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn3d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(3,8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn7d8_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(7,8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rn9d8_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(9,8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rnm1d2_rn7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rnm1d8_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rnm3d2_rn15d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(15,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rnm3d32_rn15d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(15,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rnm3d4_rn9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(9,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn3d8_rnm3d8_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn41d6_r1_rn35d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(41,6),1) = k7_xcmplx_0(35,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn41d6_r41_rnm205d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(41,6),41) = k7_xcmplx_0(k4_xcmplx_0(205),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn41d6_r6_rn5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(41,6),6) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn45d16_rnm3d16_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(45,16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn47d12_r4_rnm1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(47,12),4) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn47d3_r16_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(47,3),16) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn48d5_r12_rnm12d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(48,5),12) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_r1_rnm680d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),1) = k7_xcmplx_0(k4_xcmplx_0(680),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn1d27_rn22d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(1,27)) = k7_xcmplx_0(22,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn1d3_rnm194d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(194),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn1d9_rnm32d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(32),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn2d3_rnm437d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(437),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn343d729_rnm98d243,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(343,729)) = k7_xcmplx_0(k4_xcmplx_0(98),243) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn49d81_rnm392d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(49,81)) = k7_xcmplx_0(k4_xcmplx_0(392),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn4d9_rnm275d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(275),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn7d9_rnm518d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(518),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rn8d27_rnm167d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(8,27)) = k7_xcmplx_0(k4_xcmplx_0(167),729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d729_rnm7d27_rn238d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(238,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_r1_rnm32d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),1) = k7_xcmplx_0(k4_xcmplx_0(32),81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_r3_rnm194d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),3) = k7_xcmplx_0(k4_xcmplx_0(194),81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_rn1d27_rn46d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(1,27)) = k7_xcmplx_0(46,81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_rn1d3_rn22d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(1,3)) = k7_xcmplx_0(22,81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_rn1d9_rn40d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(1,9)) = k7_xcmplx_0(40,81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_rn2d3_rnm5d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(5),81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_rn4d9_rn13d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(4,9)) = k7_xcmplx_0(13,81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_rn7d9_rnm14d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(14),81) )).
fof(rqRealDiff__k6_xcmplx_0__rn49d81_rn8d27_rn25d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(8,27)) = k7_xcmplx_0(25,81) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d25_rn4d25_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,25),k7_xcmplx_0(4,25)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),0) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),1) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),2) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r3_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),3) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r4_rnm8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),4) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_r5_rnm11d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),5) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn1d2_rn5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(1,3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn2d3_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(4,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn5d3_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn8d3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm1d3_rn5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm4d3_rn8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm5d3_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm8d3_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn4d5_r4_rnm16d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,5),4) = k7_xcmplx_0(k4_xcmplx_0(16),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d5_rm4_rn24d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,5),k4_xcmplx_0(4)) = k7_xcmplx_0(24,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d5_rn2d3_rn2d15,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,5),k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,15) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d5_rn4d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,5),k7_xcmplx_0(4,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn4d9_r1_rnm5d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,9),1) = k7_xcmplx_0(k4_xcmplx_0(5),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d9_r3_rnm23d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,9),3) = k7_xcmplx_0(k4_xcmplx_0(23),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d9_rn2d3_rnm2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,9),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d9_rn4d3_rnm8d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,9),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(8),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn4d9_rn4d9_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(4,9),k7_xcmplx_0(4,9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn515d32_rn3d32_r16,axiom,( k6_xcmplx_0(k7_xcmplx_0(515,32),k7_xcmplx_0(3,32)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rn51d16_rn3d16_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(51,16),k7_xcmplx_0(3,16)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn52d27_rnm2d27_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(52,27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn53d27_rn1d27_rn52d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(52,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn53d27_rn53d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,27),k7_xcmplx_0(53,27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn53d27_rnm1d27_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,27),k7_xcmplx_0(k4_xcmplx_0(1),27)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn53d2_rn1d2_r26,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,2),k7_xcmplx_0(1,2)) = 26 )).
fof(rqRealDiff__k6_xcmplx_0__rn53d2_rn53d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,2),k7_xcmplx_0(53,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn53d6_r106_rnm583d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,6),106) = k7_xcmplx_0(k4_xcmplx_0(583),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn53d6_r11_rnm13d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,6),11) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn53d6_r1_rn47d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,6),1) = k7_xcmplx_0(47,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn53d6_r3_rn35d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,6),3) = k7_xcmplx_0(35,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn53d6_rn53d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,6),k7_xcmplx_0(53,6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn53d6_rnm1d6_r9,axiom,( k6_xcmplx_0(k7_xcmplx_0(53,6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rn55d16_rm4_rn119d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(55,16),k4_xcmplx_0(4)) = k7_xcmplx_0(119,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn55d27_rn1d27_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(55,27),k7_xcmplx_0(1,27)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn55d2_r1_rn53d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(55,2),1) = k7_xcmplx_0(53,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn55d2_r275_rnm495d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(55,2),275) = k7_xcmplx_0(k4_xcmplx_0(495),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn55d2_r35_rnm15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(55,2),35) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn55d2_r6_rn43d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(55,2),6) = k7_xcmplx_0(43,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn55d2_rn55d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(55,2),k7_xcmplx_0(55,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn56d27_r2_rn2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(56,27),2) = k7_xcmplx_0(2,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn56d27_rn2d27_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(56,27),k7_xcmplx_0(2,27)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn56d27_rn56d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(56,27),k7_xcmplx_0(56,27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn58d5_rm18_rn148d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(58,5),k4_xcmplx_0(18)) = k7_xcmplx_0(148,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn59d200_rn159d200_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(59,200),k7_xcmplx_0(159,200)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d12_rn11d12_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(11,12)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d12_rn1d2_rnm1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,12),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r10_rnm155d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),10) = k7_xcmplx_0(k4_xcmplx_0(155),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r15_rnm235d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),15) = k7_xcmplx_0(k4_xcmplx_0(235),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r16_rnm251d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),16) = k7_xcmplx_0(k4_xcmplx_0(251),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r1_rnm11d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),1) = k7_xcmplx_0(k4_xcmplx_0(11),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r2_rnm27d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),2) = k7_xcmplx_0(k4_xcmplx_0(27),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r32_rnm507d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),32) = k7_xcmplx_0(k4_xcmplx_0(507),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r4_rnm59d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),4) = k7_xcmplx_0(k4_xcmplx_0(59),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r5_rnm75d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),5) = k7_xcmplx_0(k4_xcmplx_0(75),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r6_rnm91d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),6) = k7_xcmplx_0(k4_xcmplx_0(91),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_r7_rnm107d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),7) = k7_xcmplx_0(k4_xcmplx_0(107),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_rn1d2_rnm3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d16_rn1d4_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,16),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r0_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),0) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r12_rnm19d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),12) = k7_xcmplx_0(k4_xcmplx_0(19),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r1_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),1) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r25_rnm45d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),25) = k7_xcmplx_0(k4_xcmplx_0(45),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r2_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),2) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r3_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),3) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r4_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),4) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r5_rnm5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),5) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r6_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),6) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r8_rnm11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),8) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_r9_rnm13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),9) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rm1_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k4_xcmplx_0(1)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rm3_rn11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k4_xcmplx_0(3)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rm5_rn15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k4_xcmplx_0(5)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rm6_rn17d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k4_xcmplx_0(6)) = k7_xcmplx_0(17,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn13d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(13,2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn15d2_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(15,2)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn1d24_rn59d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(59,24) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn1d2_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(1,2)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn1d4_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn1d6_rn7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn31d12_rnm1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(31,12)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn3d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(3,2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rn5d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(5,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rnm15d2_r10,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(15),2)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rnm1d2_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rnm1d8_rn21d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(21,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rnm3d2_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rnm5d2_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d2_rnm9d2_r7,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = 7 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_r1_rnm27d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),1) = k7_xcmplx_0(k4_xcmplx_0(27),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_r5_rnm155d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),5) = k7_xcmplx_0(k4_xcmplx_0(155),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_rm1_rn37d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),k4_xcmplx_0(1)) = k7_xcmplx_0(37,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_rn15d2_rnm235d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(235),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_rn15d32_rnm5d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),k7_xcmplx_0(15,32)) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_rn1d2_rnm11d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(11),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_rn5d2_rnm75d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(75),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_rnm1d2_rn21d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(21,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d32_rnm5d2_rn85d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,32),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(85,32) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_r1_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),1) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_r3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),3) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_r4_rnm7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),4) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_r5_rnm10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),5) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rn14d3_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(14,3)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rn1d3_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rn2d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(2,3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rn4d3_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(4,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rn5d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(5,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rn7d3_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rn8d3_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(8,3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rnm10d3_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(k4_xcmplx_0(10),3)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d3_rnm5d3_rn10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_r1_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),1) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_r2_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),2) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_r4_rnm11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),4) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_r5_rnm15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),5) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_r6_rnm19d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),6) = k7_xcmplx_0(k4_xcmplx_0(19),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rm1_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k4_xcmplx_0(1)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rm5_rn25d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k4_xcmplx_0(5)) = k7_xcmplx_0(25,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn1d2_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn1d4_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,4)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn1d8_rn9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(9,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn3d2_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn3d4_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn5d2_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn5d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(5,4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rn5d8_rn5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(5,8)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rnm1d2_rn7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d4_rnm3d4_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r0_rn5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),0) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r10_rnm55d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),10) = k7_xcmplx_0(k4_xcmplx_0(55),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r1_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),1) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r25_rnm145d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),25) = k7_xcmplx_0(k4_xcmplx_0(145),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r2_rnm7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),2) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r36_rnm211d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),36) = k7_xcmplx_0(k4_xcmplx_0(211),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r3_rnm13d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),3) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r4_rnm19d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),4) = k7_xcmplx_0(k4_xcmplx_0(19),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r5_rnm25d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),5) = k7_xcmplx_0(k4_xcmplx_0(25),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_r6_rnm31d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),6) = k7_xcmplx_0(k4_xcmplx_0(31),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rm1_rn11d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k4_xcmplx_0(1)) = k7_xcmplx_0(11,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rn11d6_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(11,6)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rn1d36_rn29d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(1,36)) = k7_xcmplx_0(29,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rn1d6_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(1,6)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rn25d36_rn5d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(25,36)) = k7_xcmplx_0(5,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rn5d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(5,6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rnm1d6_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn5d6_rnm25d36_rn55d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(55,36) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d8_r10_rnm75d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,8),10) = k7_xcmplx_0(k4_xcmplx_0(75),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d8_r1_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,8),1) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d8_rn1d8_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d8_rn3d4_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d9_rn1d3_rn2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn5d9_rn1d8_rn31d72,axiom,( k6_xcmplx_0(k7_xcmplx_0(5,9),k7_xcmplx_0(1,8)) = k7_xcmplx_0(31,72) )).
fof(rqRealDiff__k6_xcmplx_0__rn63d16_rm4_rn127d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(63,16),k4_xcmplx_0(4)) = k7_xcmplx_0(127,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn63d16_rn63d16_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(63,16),k7_xcmplx_0(63,16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn63d16_rnm1d16_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(63,16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn680d729_rn1d3_rn437d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(680,729),k7_xcmplx_0(1,3)) = k7_xcmplx_0(437,729) )).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_rn1d3_rn11d21,axiom,( k6_xcmplx_0(k7_xcmplx_0(6,7),k7_xcmplx_0(1,3)) = k7_xcmplx_0(11,21) )).
fof(rqRealDiff__k6_xcmplx_0__rn771d256_rn3d256_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(771,256),k7_xcmplx_0(3,256)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn79d50_rn159d100_rnm1d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(79,50),k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(1),100) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d128_r1_rnm121d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,128),1) = k7_xcmplx_0(k4_xcmplx_0(121),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d128_r7_rnm889d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,128),7) = k7_xcmplx_0(k4_xcmplx_0(889),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d128_rn1d2_rnm57d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,128),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(57),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d128_rn7d128_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,128),k7_xcmplx_0(7,128)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d128_rn7d2_rnm441d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,128),k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(441),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d128_rn7d32_rnm21d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,128),k7_xcmplx_0(7,32)) = k7_xcmplx_0(k4_xcmplx_0(21),128) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d16_r1_rnm9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,16),1) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d16_r21_rnm329d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,16),21) = k7_xcmplx_0(k4_xcmplx_0(329),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d16_r28_rnm441d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,16),28) = k7_xcmplx_0(k4_xcmplx_0(441),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d16_rm1_rn23d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,16),k4_xcmplx_0(1)) = k7_xcmplx_0(23,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d16_rn1d2_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d16_rn21d2_rnm161d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,16),k7_xcmplx_0(21,2)) = k7_xcmplx_0(k4_xcmplx_0(161),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d16_rn35d2_rnm273d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,16),k7_xcmplx_0(35,2)) = k7_xcmplx_0(k4_xcmplx_0(273),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d18_rm14_rn259d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,18),k4_xcmplx_0(14)) = k7_xcmplx_0(259,18) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d18_rn7d18_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,18),k7_xcmplx_0(7,18)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d18_rnm21d2_rn98d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,18),k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(98,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d18_rnm28d9_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,18),k7_xcmplx_0(k4_xcmplx_0(28),9)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d18_rnm7d18_rn7d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,18),k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(7,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d18_rnm7d9_rn7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,18),k7_xcmplx_0(k4_xcmplx_0(7),9)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d27_rnm1d3_rn16d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,27),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(16,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r14_rnm21d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),14) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r1_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),1) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r28_rnm49d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),28) = k7_xcmplx_0(k4_xcmplx_0(49),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r2_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),2) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r3_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),3) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r4_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),4) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r5_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),5) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_r7_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),7) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rm4_rn15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k4_xcmplx_0(4)) = k7_xcmplx_0(15,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn11d2_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(11,2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn13d2_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(13,2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn13d4_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(13,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn15d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(15,2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn1d2_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(1,2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn1d4_rn13d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn3d2_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(3,2)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn5d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(5,2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn7d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(7,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rn9d2_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(9,2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d2_rnm1d2_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d30_r2_rnm53d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,30),2) = k7_xcmplx_0(k4_xcmplx_0(53),30) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d30_r7_rnm203d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,30),7) = k7_xcmplx_0(k4_xcmplx_0(203),30) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d30_rn7d30_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,30),k7_xcmplx_0(7,30)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d32_r14_rnm441d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,32),14) = k7_xcmplx_0(k4_xcmplx_0(441),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d32_r1_rnm25d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,32),1) = k7_xcmplx_0(k4_xcmplx_0(25),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d32_r28_rnm889d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,32),28) = k7_xcmplx_0(k4_xcmplx_0(889),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d32_r7_rnm217d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,32),7) = k7_xcmplx_0(k4_xcmplx_0(217),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d32_rn7d2_rnm105d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,32),k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(105),32) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d32_rn7d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,32),k7_xcmplx_0(7,32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d3_r1_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,3),1) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d3_rn2d3_rn5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d3_rn4d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,3),k7_xcmplx_0(4,3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d3_rn5d3_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d3_rn7d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,3),k7_xcmplx_0(7,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d3_rnm5d3_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_r1_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),1) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_r21_rnm77d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),21) = k7_xcmplx_0(k4_xcmplx_0(77),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_r2_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),2) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_r3_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),3) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_r4_rnm9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),4) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rm4_rn23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k4_xcmplx_0(4)) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rn1d4_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rn1d8_rn13d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(13,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rn3d2_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rn3d4_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(3,4)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rn7d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(7,4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rn7d8_rn7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(7,8)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d4_rnm1d4_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d64_r1_rnm57d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,64),1) = k7_xcmplx_0(k4_xcmplx_0(57),64) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d64_r7_rnm441d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,64),7) = k7_xcmplx_0(k4_xcmplx_0(441),64) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d64_rn7d64_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,64),k7_xcmplx_0(7,64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_r14_rnm77d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,6),14) = k7_xcmplx_0(k4_xcmplx_0(77),6) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_r1_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,6),1) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_rn7d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,6),k7_xcmplx_0(7,6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d8_r1_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,8),1) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d8_rn1d2_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d8_rn1d8_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d8_rn3d2_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,8),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d8_rn3d4_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d8_rn7d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,8),k7_xcmplx_0(7,8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn7d8_rn9d8_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,8),k7_xcmplx_0(9,8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_r1_rnm2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),1) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_r3_rnm20d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),3) = k7_xcmplx_0(k4_xcmplx_0(20),9) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_rn1d27_rn20d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(1,27)) = k7_xcmplx_0(20,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_rn1d3_rn4d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(4,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_rn1d9_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(1,9)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_rn2d3_rn1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_rn4d9_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(4,9)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn7d9_rn8d27_rn13d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(8,27)) = k7_xcmplx_0(13,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn81d5_r0_rn81d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(81,5),0) = k7_xcmplx_0(81,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn81d5_r2_rn71d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(81,5),2) = k7_xcmplx_0(71,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn81d5_r5_rn56d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(81,5),5) = k7_xcmplx_0(56,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn87d5_r18_rnm3d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(87,5),18) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d27_r1_rnm19d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,27),1) = k7_xcmplx_0(k4_xcmplx_0(19),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d27_r3_rnm73d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,27),3) = k7_xcmplx_0(k4_xcmplx_0(73),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d27_rn1d3_rnm1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d27_rn1d9_rn5d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,27),k7_xcmplx_0(1,9)) = k7_xcmplx_0(5,27) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d27_rn2d3_rnm10d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,27),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(10),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d27_rn4d9_rnm4d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,27),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(4),27) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_r4_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),4) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rn1d3_rn7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rn2d3_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(2,3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rn4d3_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(4,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rn5d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(5,3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rn7d3_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(7,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rn8d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(8,3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rnm4d3_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn8d3_rnm5d3_rn13d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(13,3) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d5_rn8d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,5),k7_xcmplx_0(8,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn8d5_rnm12d5_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,5),k7_xcmplx_0(k4_xcmplx_0(12),5)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn8d9_rn1d3_rn5d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(5,9) )).
fof(rqRealDiff__k6_xcmplx_0__rn8d9_rn8d9_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(8,9),k7_xcmplx_0(8,9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn93d32_rn93d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(93,32),k7_xcmplx_0(93,32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn99d32_rn3d32_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(99,32),k7_xcmplx_0(3,32)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d10_r27_rnm261d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,10),27) = k7_xcmplx_0(k4_xcmplx_0(261),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d10_r6_rnm51d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,10),6) = k7_xcmplx_0(k4_xcmplx_0(51),10) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_r0_rn9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),0) = k7_xcmplx_0(9,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_r16_rnm247d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),16) = k7_xcmplx_0(k4_xcmplx_0(247),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_r1_rnm7d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),1) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_r25_rnm391d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),25) = k7_xcmplx_0(k4_xcmplx_0(391),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_r3_rnm39d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),3) = k7_xcmplx_0(k4_xcmplx_0(39),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_r4_rnm55d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),4) = k7_xcmplx_0(k4_xcmplx_0(55),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_r9_rnm135d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),9) = k7_xcmplx_0(k4_xcmplx_0(135),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_rm1_rn25d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),k4_xcmplx_0(1)) = k7_xcmplx_0(25,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_rn1d16_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_rn1d4_rn5d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_rn25d16_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),k7_xcmplx_0(25,16)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_rn3d4_rnm3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_rnm1d2_rn17d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(17,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d16_rnm1d4_rn13d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(13,16) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d256_rn9d256_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,256),k7_xcmplx_0(9,256)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_r11_rnm13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),11) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_r1_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),1) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_r3_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),3) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_r45_rnm81d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),45) = k7_xcmplx_0(k4_xcmplx_0(81),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_r4_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),4) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_r9_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),9) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_rn1d2_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(1,2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_rn3d2_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(3,2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_rn45d2_rm18,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(45,2)) = k4_xcmplx_0(18) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_rn5d2_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(5,2)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_rn9d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(9,2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d2_rnm1d2_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d32_rn9d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,32),k7_xcmplx_0(9,32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_r16_rnm55d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),16) = k7_xcmplx_0(k4_xcmplx_0(55),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_r17_rnm59d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),17) = k7_xcmplx_0(k4_xcmplx_0(59),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_r1_rn5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),1) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_r2_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),2) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_r4_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),4) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_r8_rnm23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),8) = k7_xcmplx_0(k4_xcmplx_0(23),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_r9_rnm27d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),9) = k7_xcmplx_0(k4_xcmplx_0(27),4) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_rn1d4_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),k7_xcmplx_0(1,4)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_rn5d4_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),k7_xcmplx_0(5,4)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d4_rn9d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,4),k7_xcmplx_0(9,4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d5_r18_rnm81d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,5),18) = k7_xcmplx_0(k4_xcmplx_0(81),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d5_r1_rn4d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,5),1) = k7_xcmplx_0(4,5) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d5_r2_rnm1d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,5),2) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d5_r6_rnm21d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,5),6) = k7_xcmplx_0(k4_xcmplx_0(21),5) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d5_rn9d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,5),k7_xcmplx_0(9,5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d8_r1_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,8),1) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d8_rn1d8_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,8),k7_xcmplx_0(1,8)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rn9d8_rn3d4_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rn9d8_rn9d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(9,8),k7_xcmplx_0(9,8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm107d6_rnm1d6_rnm53d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(107),6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(53),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm10d3_rn8d3_rm6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),3),k7_xcmplx_0(8,3)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm10d3_rnm2d3_rnm8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm10d3_rnm5d3_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm10d3_rnm8d3_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm10d9_rnm10d9_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),9),k7_xcmplx_0(k4_xcmplx_0(10),9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm10d9_rnm1d9_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm119d120_rnm119d120_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(119),120),k7_xcmplx_0(k4_xcmplx_0(119),120)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm119d120_rnm119d240_rnm119d240,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(119),120),k7_xcmplx_0(k4_xcmplx_0(119),240)) = k7_xcmplx_0(k4_xcmplx_0(119),240) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d12_rnm11d12_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),12),k7_xcmplx_0(k4_xcmplx_0(11),12)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d2_rm1_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d2_rn1d2_rm6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d2_rnm11d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2),k7_xcmplx_0(k4_xcmplx_0(11),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d2_rnm13d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2),k7_xcmplx_0(k4_xcmplx_0(13),2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d2_rnm1d2_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d2_rnm3d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d36_rm1_rn25d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),36),k4_xcmplx_0(1)) = k7_xcmplx_0(25,36) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d3_rn8d3_rnm19d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(19),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d3_rnm11d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),3),k7_xcmplx_0(k4_xcmplx_0(11),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d3_rnm7d3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),3),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d4_rnm11d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),k7_xcmplx_0(k4_xcmplx_0(11),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d4_rnm1d2_rnm9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d4_rnm3d4_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d5_rn1d10_rnm23d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(23),10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d8_rm1_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),8),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d8_rnm1d8_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d8_rnm3d4_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm11d8_rnm9d8_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),8),k7_xcmplx_0(k4_xcmplx_0(9),8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d120_rn1d240_rnm81d80,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),120),k7_xcmplx_0(1,240)) = k7_xcmplx_0(k4_xcmplx_0(81),80) )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d120_rnm121d120_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),120),k7_xcmplx_0(k4_xcmplx_0(121),120)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d120_rnm1d240_rnm241d240,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),120),k7_xcmplx_0(k4_xcmplx_0(1),240)) = k7_xcmplx_0(k4_xcmplx_0(241),240) )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d30_rn1d60_rnm81d20,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),30),k7_xcmplx_0(1,60)) = k7_xcmplx_0(k4_xcmplx_0(81),20) )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d30_rnm121d30_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),30),k7_xcmplx_0(k4_xcmplx_0(121),30)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d30_rnm1d60_rnm241d60,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),30),k7_xcmplx_0(k4_xcmplx_0(1),60)) = k7_xcmplx_0(k4_xcmplx_0(241),60) )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d40_rnm121d40_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),40),k7_xcmplx_0(k4_xcmplx_0(121),40)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm121d4_rnm121d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),4),k7_xcmplx_0(k4_xcmplx_0(121),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm127d2_rnm127d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(127),2),k7_xcmplx_0(k4_xcmplx_0(127),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm129d2_rnm129d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(129),2),k7_xcmplx_0(k4_xcmplx_0(129),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm12d5_r12_rnm72d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12),5),12) = k7_xcmplx_0(k4_xcmplx_0(72),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm12d5_rm12_rn48d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12),5),k4_xcmplx_0(12)) = k7_xcmplx_0(48,5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm12d5_rnm12d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12),5),k7_xcmplx_0(k4_xcmplx_0(12),5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d10_rnm13d10_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),10),k7_xcmplx_0(k4_xcmplx_0(13),10)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d2_r5_rnm23d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),2),5) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d2_rn5d2_rm9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),2),k7_xcmplx_0(5,2)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d2_rnm9d2_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d3_rn5d3_rm6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),3),k7_xcmplx_0(5,3)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d4_rnm13d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),k7_xcmplx_0(k4_xcmplx_0(13),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d4_rnm1d2_rnm11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d4_rnm1d4_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm13d8_rnm1d8_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm141d100_rn159d100_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(141),100),k7_xcmplx_0(159,100)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm14d3_rn5d3_rnm19d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(14),3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(19),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm14d3_rn8d3_rnm22d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(14),3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(22),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm14d3_rnm4d3_rnm10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(14),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm14d3_rnm7d3_rnm7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(14),3),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm14d3_rnm8d3_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(14),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_r1_rnm259d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),1) = k7_xcmplx_0(k4_xcmplx_0(259),100) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_r3_rnm459d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),3) = k7_xcmplx_0(k4_xcmplx_0(459),100) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_rn159d100_rnm159d50,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(159),50) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_rn159d200_rnm477d200,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),k7_xcmplx_0(159,200)) = k7_xcmplx_0(k4_xcmplx_0(477),200) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_rn1d100_rnm8d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),k7_xcmplx_0(1,100)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_rn1d2_rnm209d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(209),100) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_rnm159d100_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),k7_xcmplx_0(k4_xcmplx_0(159),100)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d100_rnm159d50_rn159d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100),k7_xcmplx_0(k4_xcmplx_0(159),50)) = k7_xcmplx_0(159,100) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d200_rn159d200_rnm159d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),200),k7_xcmplx_0(159,200)) = k7_xcmplx_0(k4_xcmplx_0(159),100) )).
fof(rqRealDiff__k6_xcmplx_0__rnm159d200_rnm159d200_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),200),k7_xcmplx_0(k4_xcmplx_0(159),200)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm15d2_rn1d2_rm8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm15d2_rnm15d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),2),k7_xcmplx_0(k4_xcmplx_0(15),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm15d2_rnm1d2_rm7,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(7) )).
fof(rqRealDiff__k6_xcmplx_0__rnm15d2_rnm3d2_rm6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm15d4_r4_rnm31d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),4),4) = k7_xcmplx_0(k4_xcmplx_0(31),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm15d4_rnm15d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),4),k7_xcmplx_0(k4_xcmplx_0(15),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm15d4_rnm3d4_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm16d3_rm4_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(16),3),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm16d3_rnm16d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(16),3),k7_xcmplx_0(k4_xcmplx_0(16),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm16d3_rnm64d3_r16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(16),3),k7_xcmplx_0(k4_xcmplx_0(64),3)) = 16 )).
fof(rqRealDiff__k6_xcmplx_0__rnm16d3_rnm8d3_rnm8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(16),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d16_rn1d2_rnm25d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(25),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d2_rm9_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),2),k4_xcmplx_0(9)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d3_rn5d3_rnm22d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(22),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d3_rnm7d3_rnm10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),3),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d4_rm4_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),4),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d4_rnm1d2_rnm15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d4_rnm1d4_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d4_rnm3d2_rnm11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm17d6_rnm17d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),6),k7_xcmplx_0(k4_xcmplx_0(17),6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm19d2_rnm19d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),2),k7_xcmplx_0(k4_xcmplx_0(19),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm19d3_rn5d3_rm8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),3),k7_xcmplx_0(5,3)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm19d4_rn1d4_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),4),k7_xcmplx_0(1,4)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm19d6_r2_rnm31d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),6),2) = k7_xcmplx_0(k4_xcmplx_0(31),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm19d8_rn31d24_rnm11d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),8),k7_xcmplx_0(31,24)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d100_rnm159d100_rn79d50,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),100),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(79,50) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d10_r1_rnm11d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10),1) = k7_xcmplx_0(k4_xcmplx_0(11),10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d120_rnm1d120_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),120),k7_xcmplx_0(k4_xcmplx_0(1),120)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_r1_rnm13d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),1) = k7_xcmplx_0(k4_xcmplx_0(13),12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_r2_rnm25d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),2) = k7_xcmplx_0(k4_xcmplx_0(25),12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_r3_rnm37d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),3) = k7_xcmplx_0(k4_xcmplx_0(37),12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rm1_rn11d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k4_xcmplx_0(1)) = k7_xcmplx_0(11,12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rm2_rn23d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k4_xcmplx_0(2)) = k7_xcmplx_0(23,12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rn1d3_rnm5d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(5),12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rn1d6_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d12_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(k4_xcmplx_0(1),12)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d16_rnm1d48,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),48) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d6_rn1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm25d12_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k7_xcmplx_0(k4_xcmplx_0(25),12)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d14_rnm1d14_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),k7_xcmplx_0(k4_xcmplx_0(1),14)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d14_rnm1d2_rn3d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,7) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d14_rnm1d7_rn1d14,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(1,14) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_r16_rnm257d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),16) = k7_xcmplx_0(k4_xcmplx_0(257),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_r1_rnm17d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),1) = k7_xcmplx_0(k4_xcmplx_0(17),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_r4_rnm65d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),4) = k7_xcmplx_0(k4_xcmplx_0(65),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_r8_rnm129d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),8) = k7_xcmplx_0(k4_xcmplx_0(129),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rm1_rn15d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(1)) = k7_xcmplx_0(15,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rm4_rn63d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(4)) = k7_xcmplx_0(63,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rm8_rn127d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(8)) = k7_xcmplx_0(127,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn1d16_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn1d2_rnm9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn1d4_rnm5d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn1d64_rnm5d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(5),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn1d8_rnm3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn3d16_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn63d16_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(63,16)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rn7d16_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(7,16)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm1d16_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm1d2_rn7d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(7,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm1d32_rnm1d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm1d4_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm1d64_rnm3d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm1d8_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm3d16_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d16_rnm3d64_rnm1d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d18_rnm1d18_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),18),k7_xcmplx_0(k4_xcmplx_0(1),18)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d24_r1_rnm25d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),1) = k7_xcmplx_0(k4_xcmplx_0(25),24) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d24_r3_rnm73d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),3) = k7_xcmplx_0(k4_xcmplx_0(73),24) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d24_rm1_rn23d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k4_xcmplx_0(1)) = k7_xcmplx_0(23,24) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d24_rn1d6_rnm5d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(5),24) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d24_rnm1d24_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k7_xcmplx_0(k4_xcmplx_0(1),24)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d25_rm1_rn24d25,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),k4_xcmplx_0(1)) = k7_xcmplx_0(24,25) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d25_rnm1d25_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),k7_xcmplx_0(k4_xcmplx_0(1),25)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_r1_rnm28d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),1) = k7_xcmplx_0(k4_xcmplx_0(28),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_r2_rnm55d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),2) = k7_xcmplx_0(k4_xcmplx_0(55),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rm2_rn53d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k4_xcmplx_0(2)) = k7_xcmplx_0(53,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rm4_rn107d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k4_xcmplx_0(4)) = k7_xcmplx_0(107,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rn1d27_rnm2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rn1d3_rnm10d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(10),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rn1d9_rnm4d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(4),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rn2d27_rnm1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rn53d27_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(53,27)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rnm1d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(k4_xcmplx_0(1),27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rnm1d3_rn8d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(8,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rnm1d9_rn2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(2,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rnm2d27_rn1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(1,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d27_rnm55d27_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),k7_xcmplx_0(k4_xcmplx_0(55),27)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_cr1r0_crm1rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_cr3r0_crm3rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_cr3rnm3d2_crm3r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crm1r0_cr1rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crm1rnm1d2_cr1r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k1_xcmplx_0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crm3r0_cr3rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crm3rnm3d2_cr3r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crn1d2r0_crnm1d2rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crn3d2r0_crnm3d2rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crn3d2rnm3d2_crnm3d2r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crnm1d2r0_crn1d2rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crnm3d2r0_crn3d2rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_crnm3d2rnm3d2_crn3d2r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),0) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r12_rnm25d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),12) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r21_rnm43d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),21) = k7_xcmplx_0(k4_xcmplx_0(43),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r24_rnm49d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),24) = k7_xcmplx_0(k4_xcmplx_0(49),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r27_rnm55d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),27) = k7_xcmplx_0(k4_xcmplx_0(55),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r28_rnm57d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),28) = k7_xcmplx_0(k4_xcmplx_0(57),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r2_rnm5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r3_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),3) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r4_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),4) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r5_rnm11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),5) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r64_rnm129d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),64) = k7_xcmplx_0(k4_xcmplx_0(129),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r6_rnm13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),6) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r8_rnm17d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),8) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm10_rn19d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(10)) = k7_xcmplx_0(19,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm12_rn23d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(12)) = k7_xcmplx_0(23,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm27_rn53d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(27)) = k7_xcmplx_0(53,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(2)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm3_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(3)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm4_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(4)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm54_rn107d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(54)) = k7_xcmplx_0(107,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm6_rn11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(6)) = k7_xcmplx_0(11,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d3_rnm5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d6_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d8_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn27d2_rm14,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(27,2)) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn2d3_rnm7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d4_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d8_rnm7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn53d2_rm27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(53,2)) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn5d2_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(5,2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn5d4_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn7d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(7,2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm159d100_rn109d100,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(109,100) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm19d6_rn8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d14_rnm3d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d16_rnm7d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d3_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d6_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d7_rnm5d14,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(k4_xcmplx_0(5),14) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d8_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d10_rnm1d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),10)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d5_rn1d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(1,10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d8_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm5d2_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm5d4_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm5d8_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm7d2_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(7),2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm9d16_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(9),16)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm9d2_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_r1_rnm31d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),1) = k7_xcmplx_0(k4_xcmplx_0(31),30) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_r2_rnm61d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),2) = k7_xcmplx_0(k4_xcmplx_0(61),30) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_r3_rnm91d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),3) = k7_xcmplx_0(k4_xcmplx_0(91),30) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_rm1_rn29d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),k4_xcmplx_0(1)) = k7_xcmplx_0(29,30) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_rnm1d30_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),k7_xcmplx_0(k4_xcmplx_0(1),30)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d32_r1_rnm33d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),1) = k7_xcmplx_0(k4_xcmplx_0(33),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d32_rm1_rn31d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k4_xcmplx_0(1)) = k7_xcmplx_0(31,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d32_rnm1d2_rn15d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(15,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d32_rnm1d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k7_xcmplx_0(k4_xcmplx_0(1),32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d32_rnm3d16_rn5d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(5,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d36_rm1_rn35d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),36),k4_xcmplx_0(1)) = k7_xcmplx_0(35,36) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r2_rnm7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),2) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r3_rnm10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),3) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r9_rnm28d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),9) = k7_xcmplx_0(k4_xcmplx_0(28),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm18_rn53d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(18)) = k7_xcmplx_0(53,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(1)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm27_rn80d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(27)) = k7_xcmplx_0(80,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm2_rn5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(2)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm9_rn26d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(9)) = k7_xcmplx_0(26,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d6_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn26d3_rm9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(26,3)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn4d3_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn5d3_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(5,3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn7d3_rnm8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm10d3_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(10),3)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d2_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d6_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d9_rnm2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm28d3_r9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(28),3)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm3d2_rn7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(7,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm4d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm5d3_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm8d3_rn7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(7,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d40_rn1d80_rnm3d80,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),40),k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(3),80) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d40_rnm121d40_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),40),k7_xcmplx_0(k4_xcmplx_0(121),40)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d40_rnm1d40_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),40),k7_xcmplx_0(k4_xcmplx_0(1),40)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d40_rnm1d80_rnm1d80,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),40),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(1),80) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d48_r1_rnm49d48,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),1) = k7_xcmplx_0(k4_xcmplx_0(49),48) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d48_rn1d12_rnm5d48,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),k7_xcmplx_0(1,12)) = k7_xcmplx_0(k4_xcmplx_0(5),48) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d48_rn1d24_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d48_rnm1d24_rn1d48,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,48) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d48_rnm1d48_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),k7_xcmplx_0(k4_xcmplx_0(1),48)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),0) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r16_rnm65d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),16) = k7_xcmplx_0(k4_xcmplx_0(65),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r1_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),1) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r2_rnm9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),2) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r3_rnm13d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),3) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r4_rnm17d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),4) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r5_rnm21d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),5) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r64_rnm257d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),64) = k7_xcmplx_0(k4_xcmplx_0(257),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r6_rnm25d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),6) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(1)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm2_rn7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(2)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm3_rn11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(3)) = k7_xcmplx_0(11,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm4_rn15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(4)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm5_rn19d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(5)) = k7_xcmplx_0(19,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm64_rn255d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(64)) = k7_xcmplx_0(255,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm6_rn23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(6)) = k7_xcmplx_0(23,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm7_rn27d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(7)) = k7_xcmplx_0(27,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm8_rn31d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(8)) = k7_xcmplx_0(31,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d16_rnm5d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d64_rnm17d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(17),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d8_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d2_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(3,4)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d8_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn5d4_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn9d8_rnm11d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(9,8)) = k7_xcmplx_0(k4_xcmplx_0(11),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm121d4_r30,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(121),4)) = 30 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d12_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d16_rnm3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d64_rnm15d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(15),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d8_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm27d4_rn13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(13,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d2_rn5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d64_rnm13d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(k4_xcmplx_0(13),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d8_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm5d4_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm5d8_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm7d4_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm7d8_rn5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm9d8_rn7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(9),8)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d512_rnm1d512_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),512),k7_xcmplx_0(k4_xcmplx_0(1),512)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_r1_rnm6d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),1) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_r6_rnm31d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),6) = k7_xcmplx_0(k4_xcmplx_0(31),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rm1_rn4d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k4_xcmplx_0(1)) = k7_xcmplx_0(4,5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rn1d10_rnm3d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rn1d20_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(1,20)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rn1d5_rnm2d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm121d5_r24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(121),5)) = 24 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d10_rnm1d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(1),5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d6_rnm1d30,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),30) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm6d5_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(6),5)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_r1_rnm65d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),1) = k7_xcmplx_0(k4_xcmplx_0(65),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rn1d16_rnm5d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(5),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rn1d64_rnm1d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rnm1d16_rn3d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(3,64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rnm1d64_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(1),64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rnm1d8_rn7d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(7,64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rnm3d16_rn11d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(11,64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rnm3d64_rn1d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(1,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r12_rnm73d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),12) = k7_xcmplx_0(k4_xcmplx_0(73),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r18_rnm109d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),18) = k7_xcmplx_0(k4_xcmplx_0(109),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r1_rnm7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),1) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r24_rnm145d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),24) = k7_xcmplx_0(k4_xcmplx_0(145),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r2_rnm13d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),2) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r3_rnm19d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),3) = k7_xcmplx_0(k4_xcmplx_0(19),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r4_rnm25d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),4) = k7_xcmplx_0(k4_xcmplx_0(25),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r6_rnm37d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),6) = k7_xcmplx_0(k4_xcmplx_0(37),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r8_rnm49d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),8) = k7_xcmplx_0(k4_xcmplx_0(49),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r9_rnm55d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),9) = k7_xcmplx_0(k4_xcmplx_0(55),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rm12_rn71d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(12)) = k7_xcmplx_0(71,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rm1_rn5d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(1)) = k7_xcmplx_0(5,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rm4_rn23d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(4)) = k7_xcmplx_0(23,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rm7_rn41d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(7)) = k7_xcmplx_0(41,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rm8_rn47d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(8)) = k7_xcmplx_0(47,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rn1d24_rnm5d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(5),24) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rn1d2_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rn1d3_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rn1d6_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d24_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d2_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d3_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm2d3_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm55d6_r9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(55),6)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d729_rnm1d729_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),k7_xcmplx_0(k4_xcmplx_0(1),729)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rm6_rn41d7,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k4_xcmplx_0(6)) = k7_xcmplx_0(41,7) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rnm1d3_rn4d21,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(4,21) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rnm1d7_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(k4_xcmplx_0(1),7)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d81_rn1d81_rnm2d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),81),k7_xcmplx_0(1,81)) = k7_xcmplx_0(k4_xcmplx_0(2),81) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d81_rnm1d81_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),81),k7_xcmplx_0(k4_xcmplx_0(1),81)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d81_rnm2d81_rn1d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),81),k7_xcmplx_0(k4_xcmplx_0(2),81)) = k7_xcmplx_0(1,81) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_r12_rnm97d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),12) = k7_xcmplx_0(k4_xcmplx_0(97),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_r16_rnm129d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),16) = k7_xcmplx_0(k4_xcmplx_0(129),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_r1_rnm9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),1) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_r2_rnm17d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),2) = k7_xcmplx_0(k4_xcmplx_0(17),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_r3_rnm25d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),3) = k7_xcmplx_0(k4_xcmplx_0(25),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_r4_rnm33d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),4) = k7_xcmplx_0(k4_xcmplx_0(33),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_r8_rnm65d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),8) = k7_xcmplx_0(k4_xcmplx_0(65),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rm1_rn7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(1)) = k7_xcmplx_0(7,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rm2_rn15d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(2)) = k7_xcmplx_0(15,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rm3_rn23d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(3)) = k7_xcmplx_0(23,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rm4_rn31d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(4)) = k7_xcmplx_0(31,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rm5_rn39d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(5)) = k7_xcmplx_0(39,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rm6_rn47d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(6)) = k7_xcmplx_0(47,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rm7_rn55d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(7)) = k7_xcmplx_0(55,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn1d16_rnm3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn1d2_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn1d4_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn1d64_rnm9d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(9),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn1d6_rnm7d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(7),24) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn1d8_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn31d24_rnm17d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(31,24)) = k7_xcmplx_0(k4_xcmplx_0(17),12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn3d2_rnm13d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(13),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn3d4_rnm7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rn3d8_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm1d16_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm1d24_rnm1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm1d2_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm1d4_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm1d64_rnm7d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm1d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm3d16_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm3d4_rn5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm3d64_rnm5d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(k4_xcmplx_0(5),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm3d8_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm5d4_rn9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(9,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm5d8_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm7d4_rn13d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(13,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d8_rnm7d8_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_r0_rnm1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),0) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_r10_rnm91d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),10) = k7_xcmplx_0(k4_xcmplx_0(91),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_r1_rnm10d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),1) = k7_xcmplx_0(k4_xcmplx_0(10),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_r2_rnm19d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),2) = k7_xcmplx_0(k4_xcmplx_0(19),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_r9_rnm82d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),9) = k7_xcmplx_0(k4_xcmplx_0(82),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rm1_rn8d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(1)) = k7_xcmplx_0(8,9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rm2_rn17d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(2)) = k7_xcmplx_0(17,9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rm3_rn26d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(3)) = k7_xcmplx_0(26,9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rm4_rn35d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(4)) = k7_xcmplx_0(35,9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rm9_rn80d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(9)) = k7_xcmplx_0(80,9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rn1d27_rnm4d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(4),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rn1d9_rnm2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rn2d9_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(2,9)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rn8d9_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(8,9)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rnm1d27_rnm2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rnm1d3_rn2d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rnm1d9_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm1d9_rnm2d27_rnm1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm20d3_rnm4d3_rnm16d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(20),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm20d3_rnm8d3_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(20),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d10_rm57_rn549d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),10),k4_xcmplx_0(57)) = k7_xcmplx_0(549,10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d128_r1_rnm149d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),128),1) = k7_xcmplx_0(k4_xcmplx_0(149),128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d128_rm1_rn107d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),128),k4_xcmplx_0(1)) = k7_xcmplx_0(107,128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d128_rn1d2_rnm85d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),128),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(85),128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d128_rnm1d2_rn43d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),128),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(43,128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d128_rnm7d16_rn35d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),128),k7_xcmplx_0(k4_xcmplx_0(7),16)) = k7_xcmplx_0(35,128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_r1_rnm23d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),1) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_r21_rnm63d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),21) = k7_xcmplx_0(k4_xcmplx_0(63),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rm1_rnm19d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(19),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rm21_rn21d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k4_xcmplx_0(21)) = k7_xcmplx_0(21,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rm28_rn35d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k4_xcmplx_0(28)) = k7_xcmplx_0(35,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rn1d2_rm11,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(11) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rn35d2_rm28,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k7_xcmplx_0(35,2)) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rnm11d2_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k7_xcmplx_0(k4_xcmplx_0(11),2)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rnm1d2_rm10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rnm21d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k7_xcmplx_0(k4_xcmplx_0(21),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d2_rnm9d2_rm6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm21d4_rm1_rnm17d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),4),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm239d30_rn59d60_rnm179d20,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(239),30),k7_xcmplx_0(59,60)) = k7_xcmplx_0(k4_xcmplx_0(179),20) )).
fof(rqRealDiff__k6_xcmplx_0__rnm23d2_r1_rnm25d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),2),1) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm23d2_rm23_rn23d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),2),k4_xcmplx_0(23)) = k7_xcmplx_0(23,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm23d2_rnm23d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),2),k7_xcmplx_0(k4_xcmplx_0(23),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm23d4_rn1d2_rnm25d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm23d4_rnm23d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),4),k7_xcmplx_0(k4_xcmplx_0(23),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm23d6_rnm23d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),6),k7_xcmplx_0(k4_xcmplx_0(23),6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm241d200_rn159d200_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),200),k7_xcmplx_0(159,200)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm245d18_rn7d18_rm14,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(245),18),k7_xcmplx_0(7,18)) = k4_xcmplx_0(14) )).
fof(rqRealDiff__k6_xcmplx_0__rnm245d18_rnm21d2_rnm28d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(245),18),k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(k4_xcmplx_0(28),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm245d18_rnm245d18_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(245),18),k7_xcmplx_0(k4_xcmplx_0(245),18)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm253d16_rn3d16_rm16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(253),16),k7_xcmplx_0(3,16)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm253d256_rn3d256_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(253),256),k7_xcmplx_0(3,256)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm255d4_rn1d4_rm64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),4),k7_xcmplx_0(1,4)) = k4_xcmplx_0(64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm255d4_rnm255d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),4),k7_xcmplx_0(k4_xcmplx_0(255),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm257d16_rnm1d16_rm16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(257),16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm257d4_rnm257d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(257),4),k7_xcmplx_0(k4_xcmplx_0(257),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d16_rm1_rnm9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),16),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d16_rnm1d2_rnm17d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(17),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d27_rn2d27_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),27),k7_xcmplx_0(2,27)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d2_r25_rnm75d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),2),25) = k7_xcmplx_0(k4_xcmplx_0(75),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d2_rm25_rn25d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),2),k4_xcmplx_0(25)) = k7_xcmplx_0(25,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d2_rnm25d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),2),k7_xcmplx_0(k4_xcmplx_0(25),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d36_r25_rnm925d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),36),25) = k7_xcmplx_0(k4_xcmplx_0(925),36) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d36_rn1d36_rnm13d18,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(1,36)) = k7_xcmplx_0(k4_xcmplx_0(13),18) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d36_rn1d6_rnm31d36,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),36),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(31),36) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d4_rnm1d2_rnm23d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(23),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm25d4_rnm25d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),4),k7_xcmplx_0(k4_xcmplx_0(25),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm26d25_rm1_rnm1d25,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),25),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),25) )).
fof(rqRealDiff__k6_xcmplx_0__rnm26d3_rn1d3_rm9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k7_xcmplx_0(1,3)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm26d3_rnm26d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k7_xcmplx_0(k4_xcmplx_0(26),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm27d2_cr1r0_crm1rnm27d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(27),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm27d2_rm1_rnm25d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm27d2_rnm1d2_rm13,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(13) )).
fof(rqRealDiff__k6_xcmplx_0__rnm28d27_rn1d27_rnm29d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(29),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm28d27_rnm1d27_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),27),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm28d3_rm9_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k4_xcmplx_0(9)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm28d3_rnm1d3_rm9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm28d3_rnm28d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k7_xcmplx_0(k4_xcmplx_0(28),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm29d18_rn7d18_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),18),k7_xcmplx_0(7,18)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm29d27_rnm2d27_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm29d36_rnm29d36_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),36),k7_xcmplx_0(k4_xcmplx_0(29),36)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm29d3_rnm29d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),3),k7_xcmplx_0(k4_xcmplx_0(29),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d25_rnm2d25_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),25),k7_xcmplx_0(k4_xcmplx_0(2),25)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_r1_rnm29d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),1) = k7_xcmplx_0(k4_xcmplx_0(29),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_r2_rnm56d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),2) = k7_xcmplx_0(k4_xcmplx_0(56),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rm2_rn52d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k4_xcmplx_0(2)) = k7_xcmplx_0(52,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rm4_rn106d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k4_xcmplx_0(4)) = k7_xcmplx_0(106,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rn1d27_rnm1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rn2d27_rnm4d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(4),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rnm1d27_rnm1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rnm1d9_rn1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(1,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rnm2d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d27_rnm4d27_rn2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k7_xcmplx_0(k4_xcmplx_0(4),27)) = k7_xcmplx_0(2,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r1_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),1) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r2_rnm8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),2) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r3_rnm11d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),3) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r4_rnm14d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),4) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r9_rnm29d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),9) = k7_xcmplx_0(k4_xcmplx_0(29),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(1)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(2)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d2_rnm7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn3d2_rnm13d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(4,3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn5d3_rnm7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn7d3_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(7,3)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn8d3_rnm10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm10d3_rn8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(10),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm4d3_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm5d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm7d3_rn5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm8d3_r2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = 2 )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d5_r1_rnm7d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),1) = k7_xcmplx_0(k4_xcmplx_0(7),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d5_r2_rnm12d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),2) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d5_rm18_rn88d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k4_xcmplx_0(18)) = k7_xcmplx_0(88,5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d5_rm2_rn8d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k4_xcmplx_0(2)) = k7_xcmplx_0(8,5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d5_rn1d10_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d5_rn3d5_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(3,5)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d5_rnm2d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d81_rnm1d81_rnm1d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),81),k7_xcmplx_0(k4_xcmplx_0(1),81)) = k7_xcmplx_0(k4_xcmplx_0(1),81) )).
fof(rqRealDiff__k6_xcmplx_0__rnm2d9_rnm2d3_rn4d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),9),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(4,9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm31d12_rnm31d12_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),12),k7_xcmplx_0(k4_xcmplx_0(31),12)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm31d2_rn1d2_rm16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm31d4_rnm31d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),4),k7_xcmplx_0(k4_xcmplx_0(31),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm31d6_rm4_rnm7d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),6),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm31d6_rnm31d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),6),k7_xcmplx_0(k4_xcmplx_0(31),6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm343d729_rnm1d3_rnm100d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(343),729),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(100),729) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d18_rn1d18_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),18),k7_xcmplx_0(1,18)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d18_rnm35d18_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),18),k7_xcmplx_0(k4_xcmplx_0(35),18)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d18_rnm3d2_rnm4d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),18),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_r21_rnm77d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),21) = k7_xcmplx_0(k4_xcmplx_0(77),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_r28_rnm91d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),28) = k7_xcmplx_0(k4_xcmplx_0(91),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_r35_rnm105d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),35) = k7_xcmplx_0(k4_xcmplx_0(105),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_r4_rnm43d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),4) = k7_xcmplx_0(k4_xcmplx_0(43),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_r6_rnm47d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),6) = k7_xcmplx_0(k4_xcmplx_0(47),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_r8_rnm51d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),8) = k7_xcmplx_0(k4_xcmplx_0(51),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_rm1_rnm33d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(33),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_rnm1d2_rm17,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(17) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d2_rnm35d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k7_xcmplx_0(k4_xcmplx_0(35),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d32_rnm3d32_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),32),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d64_r1_rnm99d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),64),1) = k7_xcmplx_0(k4_xcmplx_0(99),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm35d64_rnm35d64_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),64),k7_xcmplx_0(k4_xcmplx_0(35),64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm36d5_r36_rnm216d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(36),5),36) = k7_xcmplx_0(k4_xcmplx_0(216),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm36d5_rm36_rn144d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(36),5),k4_xcmplx_0(36)) = k7_xcmplx_0(144,5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm39d16_r4_rnm103d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(39),16),4) = k7_xcmplx_0(k4_xcmplx_0(103),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d128_rn3d128_rnm3d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(3,128)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d128_rn3d16_rnm27d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(27),128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d128_rnm3d128_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(k4_xcmplx_0(3),128)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d128_rnm3d16_rn21d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(21,128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d128_rnm3d8_rn45d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(45,128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_r16_rnm259d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),16) = k7_xcmplx_0(k4_xcmplx_0(259),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_r1_rnm19d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),1) = k7_xcmplx_0(k4_xcmplx_0(19),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_r3_rnm51d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),3) = k7_xcmplx_0(k4_xcmplx_0(51),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_r6_rnm99d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),6) = k7_xcmplx_0(k4_xcmplx_0(99),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rm1_rn13d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k4_xcmplx_0(1)) = k7_xcmplx_0(13,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rm3_rn45d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k4_xcmplx_0(3)) = k7_xcmplx_0(45,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rm6_rn93d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k4_xcmplx_0(6)) = k7_xcmplx_0(93,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rn1d64_rnm13d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(13),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rn3d16_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rn3d8_rnm9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm1d16_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm1d2_rn5d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(5,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm1d4_rn1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm1d64_rnm11d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(11),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm1d8_rnm1d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm3d16_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(3),16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm3d32_rnm3d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm3d64_rnm9d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(k4_xcmplx_0(9),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm3d8_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm51d16_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(51),16)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d16_rnm9d16_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(k4_xcmplx_0(9),16)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d256_r1_rnm259d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),1) = k7_xcmplx_0(k4_xcmplx_0(259),256) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d256_r3_rnm771d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),3) = k7_xcmplx_0(k4_xcmplx_0(771),256) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d256_rm3_rn765d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),k4_xcmplx_0(3)) = k7_xcmplx_0(765,256) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d256_rn3d256_rnm3d128,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),k7_xcmplx_0(3,256)) = k7_xcmplx_0(k4_xcmplx_0(3),128) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d256_rnm3d128_rn3d256,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),k7_xcmplx_0(k4_xcmplx_0(3),128)) = k7_xcmplx_0(3,256) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d256_rnm3d256_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),k7_xcmplx_0(k4_xcmplx_0(3),256)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_cr1r0_crm1rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_crm1r0_cr1rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_crnm1d2r0_crn1d2rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),0) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r1_rnm5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),1) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r2_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),2) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r3_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),3) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r4_rnm11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),4) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r5_rnm13d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),5) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r6_rnm15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),6) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(2)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(3)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm4_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(4)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm5_rn7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(5)) = k7_xcmplx_0(7,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm6_rn9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(6)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn13d2_rm8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(13,2)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d4_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d4_rnm9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn5d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(5,2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn9d2_rm6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(9,2)) = k4_xcmplx_0(6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm13d2_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(13),2)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm15d2_r6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(15),2)) = 6 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm25d2_r11,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(25),2)) = 11 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d4_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm5d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm9d2_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_r16_rnm515d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),16) = k7_xcmplx_0(k4_xcmplx_0(515),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_r1_rnm35d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),1) = k7_xcmplx_0(k4_xcmplx_0(35),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_r3_rnm99d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),3) = k7_xcmplx_0(k4_xcmplx_0(99),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_r6_rnm195d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),6) = k7_xcmplx_0(k4_xcmplx_0(195),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rm3_rn93d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k4_xcmplx_0(3)) = k7_xcmplx_0(93,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rn3d16_rnm9d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(9),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rn3d8_rnm15d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(15),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rn45d32_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(45,32)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rn93d32_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(93,32)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rn9d32_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(9,32)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rnm3d16_rn3d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(3,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rnm3d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(k4_xcmplx_0(3),32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d32_rnm3d8_rn9d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(9,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_r1_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),1) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_r2_rnm11d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),2) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_r3_rnm15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),3) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_r4_rnm19d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),4) = k7_xcmplx_0(k4_xcmplx_0(19),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(1)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rm2_rn5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(2)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rm3_rn9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(3)) = k7_xcmplx_0(9,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rm4_rn13d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(4)) = k7_xcmplx_0(13,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d2_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,4)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d8_rnm7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d4_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn3d8_rnm9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn5d4_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(5,4)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d8_rnm5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm21d4_rn9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(21),4)) = k7_xcmplx_0(9,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d2_rn3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(3,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d8_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm5d4_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm7d8_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm9d8_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(9),8)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d5_r18_rnm93d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),5),18) = k7_xcmplx_0(k4_xcmplx_0(93),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d5_rn2d5_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),5),k7_xcmplx_0(2,5)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d5_rnm1d10_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),5),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d64_rnm1d64_rnm1d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),64),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_r16_rnm131d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),16) = k7_xcmplx_0(k4_xcmplx_0(131),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_r1_rnm11d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),1) = k7_xcmplx_0(k4_xcmplx_0(11),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_r2_rnm19d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),2) = k7_xcmplx_0(k4_xcmplx_0(19),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_r3_rnm27d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),3) = k7_xcmplx_0(k4_xcmplx_0(27),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rm1_rn5d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k4_xcmplx_0(1)) = k7_xcmplx_0(5,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rm2_rn13d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k4_xcmplx_0(2)) = k7_xcmplx_0(13,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rm3_rn21d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k4_xcmplx_0(3)) = k7_xcmplx_0(21,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rm8_rn61d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k4_xcmplx_0(8)) = k7_xcmplx_0(61,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rn1d8_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rn3d16_rnm9d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rn3d4_rnm9d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rn3d8_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rn7d8_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(7,8)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm1d2_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm1d4_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm1d8_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm3d16_rnm3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm3d32_rnm9d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(k4_xcmplx_0(9),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm3d4_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm3d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm3d8_rnm5d3_rn31d24,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(31,24) )).
fof(rqRealDiff__k6_xcmplx_0__rnm41d100_rn159d100_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(41),100),k7_xcmplx_0(159,100)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm441d200_rn159d200_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(441),200),k7_xcmplx_0(159,200)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm45d16_rnm45d16_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(45),16),k7_xcmplx_0(k4_xcmplx_0(45),16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm479d120_rn119d240_rnm359d80,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(479),120),k7_xcmplx_0(119,240)) = k7_xcmplx_0(k4_xcmplx_0(359),80) )).
fof(rqRealDiff__k6_xcmplx_0__rnm47d12_rm4_rn1d12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(47),12),k4_xcmplx_0(4)) = k7_xcmplx_0(1,12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm47d2_r1_rnm49d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(47),2),1) = k7_xcmplx_0(k4_xcmplx_0(49),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm49d2_rn1d2_rm25,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(25) )).
fof(rqRealDiff__k6_xcmplx_0__rnm49d2_rnm49d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(k4_xcmplx_0(49),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm49d729_rnm1d3_rn194d729,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),729),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(194,729) )).
fof(rqRealDiff__k6_xcmplx_0__rnm49d81_rnm1d3_rnm22d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),81),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(22),81) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d25_rnm4d25_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),25),k7_xcmplx_0(k4_xcmplx_0(4),25)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rm1_rnm1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k4_xcmplx_0(2)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn1d3_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn1d6_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn4d3_rnm8d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn8d3_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(8,3)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d9_rnm8d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(4),9)) = k7_xcmplx_0(k4_xcmplx_0(8),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm5d3_rn1d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm8d3_rn4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_r1_rnm9d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),1) = k7_xcmplx_0(k4_xcmplx_0(9),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_r4_rnm24d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),4) = k7_xcmplx_0(k4_xcmplx_0(24),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_rm4_rn16d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),k4_xcmplx_0(4)) = k7_xcmplx_0(16,5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_rn1d5_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),k7_xcmplx_0(1,5)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d5_rnm4d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),k7_xcmplx_0(k4_xcmplx_0(4),5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm4d9_rnm1d3_rnm1d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),9),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm50d3_rm16_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(50),3),k4_xcmplx_0(16)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm515d32_rnm3d32_rm16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(515),32),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k4_xcmplx_0(16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm51d16_rnm51d16_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(51),16),k7_xcmplx_0(k4_xcmplx_0(51),16)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm52d27_rn2d27_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(52),27),k7_xcmplx_0(2,27)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm52d27_rnm52d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(52),27),k7_xcmplx_0(k4_xcmplx_0(52),27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm53d27_rn1d27_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),27),k7_xcmplx_0(1,27)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm53d27_rnm53d27_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),27),k7_xcmplx_0(k4_xcmplx_0(53),27)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm53d2_rnm53d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),2),k7_xcmplx_0(k4_xcmplx_0(53),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm53d6_rn1d6_rm9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6),k7_xcmplx_0(1,6)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm53d6_rnm1d6_rnm26d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm53d6_rnm53d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6),k7_xcmplx_0(k4_xcmplx_0(53),6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm55d27_rn1d27_rnm56d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(56),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm55d27_rnm1d27_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),27),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm55d2_rn1d2_rm28,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(28) )).
fof(rqRealDiff__k6_xcmplx_0__rnm55d2_rnm1d2_rm27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm55d2_rnm55d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),k7_xcmplx_0(k4_xcmplx_0(55),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm55d3_rm27_rn26d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),3),k4_xcmplx_0(27)) = k7_xcmplx_0(26,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm56d27_rm2_rnm2d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(56),27),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm56d27_rnm2d27_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(56),27),k7_xcmplx_0(k4_xcmplx_0(2),27)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm59d30_rnm59d30_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(59),30),k7_xcmplx_0(k4_xcmplx_0(59),30)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm59d30_rnm59d60_rnm59d60,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(59),30),k7_xcmplx_0(k4_xcmplx_0(59),60)) = k7_xcmplx_0(k4_xcmplx_0(59),60) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d12_rnm5d12_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),12),k7_xcmplx_0(k4_xcmplx_0(5),12)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r10_rnm165d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),10) = k7_xcmplx_0(k4_xcmplx_0(165),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r15_rnm245d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),15) = k7_xcmplx_0(k4_xcmplx_0(245),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r16_rnm261d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),16) = k7_xcmplx_0(k4_xcmplx_0(261),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r1_rnm21d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),1) = k7_xcmplx_0(k4_xcmplx_0(21),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r2_rnm37d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),2) = k7_xcmplx_0(k4_xcmplx_0(37),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r32_rnm517d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),32) = k7_xcmplx_0(k4_xcmplx_0(517),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r4_rnm69d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),4) = k7_xcmplx_0(k4_xcmplx_0(69),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r5_rnm85d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),5) = k7_xcmplx_0(k4_xcmplx_0(85),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r6_rnm101d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),6) = k7_xcmplx_0(k4_xcmplx_0(101),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_r7_rnm117d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),7) = k7_xcmplx_0(k4_xcmplx_0(117),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_rm10_rn155d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),k4_xcmplx_0(10)) = k7_xcmplx_0(155,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_rm1_rn11d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),k4_xcmplx_0(1)) = k7_xcmplx_0(11,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_rm5_rn75d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),k4_xcmplx_0(5)) = k7_xcmplx_0(75,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d16_rnm1d2_rn3d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_r1_rnm7d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),1) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_r2_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),2) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_r3_rnm11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),3) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_r5_rnm15d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),5) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rm1_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rm2_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rm4_rn3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k4_xcmplx_0(4)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rm5_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k4_xcmplx_0(5)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rn13d2_rm9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(13,2)) = k4_xcmplx_0(9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rn19d2_rm12,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(19,2)) = k4_xcmplx_0(12) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rn1d2_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rn3d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rn5d2_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(5,2)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm13d2_r4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(13),2)) = 4 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm15d2_r5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(15),2)) = 5 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm1d2_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm1d4_rnm9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm25d2_r10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(25),2)) = 10 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm3d2_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm5d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d2_rnm7d3_rnm1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d32_r1_rnm37d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),32),1) = k7_xcmplx_0(k4_xcmplx_0(37),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d32_rn1d2_rnm21d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(21),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d32_rn5d2_rnm85d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),32),k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(85),32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d32_rnm5d2_rn75d32,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),32),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(75,32) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rm1_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rn2d3_rnm7d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rn5d3_rnm10d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rn7d3_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(7,3)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm14d3_r3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(k4_xcmplx_0(14),3)) = 3 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm1d3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm2d3_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm5d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d3_rnm7d3_rn2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_r1_rnm9d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),1) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_r5_rnm25d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),5) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rm1_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rm3_rn7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k4_xcmplx_0(3)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rm5_rn15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k4_xcmplx_0(5)) = k7_xcmplx_0(15,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rn1d2_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rn1d4_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rn3d4_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(3,4)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rn3d8_rnm13d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(13),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm1d2_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm1d4_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm3d2_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm3d4_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm3d8_rnm7d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm5d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d4_rnm9d8_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(9),8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d64_rnm1d16_rnm1d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),64),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d6_rm1_rn1d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),6),k4_xcmplx_0(1)) = k7_xcmplx_0(1,6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d6_rnm5d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),6),k7_xcmplx_0(k4_xcmplx_0(5),6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rm1_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k4_xcmplx_0(1)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rm4_rn27d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k4_xcmplx_0(4)) = k7_xcmplx_0(27,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rn1d8_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rn3d4_rnm11d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(11),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rn3d8_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(3,8)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rn7d8_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(7,8)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rnm1d4_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rnm1d8_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rnm3d4_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rnm3d8_rnm1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm5d8_rnm7d8_rn1d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(1,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm63d64_rn1d64_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),64),k7_xcmplx_0(1,64)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm63d64_rnm63d64_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),64),k7_xcmplx_0(k4_xcmplx_0(63),64)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm63d8_rn1d8_rm8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),8),k7_xcmplx_0(1,8)) = k4_xcmplx_0(8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm63d8_rnm63d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),8),k7_xcmplx_0(k4_xcmplx_0(63),8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm65d16_rnm1d16_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(65),16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm6d5_rm1_rnm1d5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),5),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm6d5_rnm1d5_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),5),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm6d7_rnm6d7_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),7),k7_xcmplx_0(k4_xcmplx_0(6),7)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm71d6_rnm71d6_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(71),6),k7_xcmplx_0(k4_xcmplx_0(71),6)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm765d256_rn3d256_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(765),256),k7_xcmplx_0(3,256)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d10_r21_rnm217d10,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),10),21) = k7_xcmplx_0(k4_xcmplx_0(217),10) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d16_r1_rnm23d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16),1) = k7_xcmplx_0(k4_xcmplx_0(23),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d16_r21_rnm343d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16),21) = k7_xcmplx_0(k4_xcmplx_0(343),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d16_rm21_rn329d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16),k4_xcmplx_0(21)) = k7_xcmplx_0(329,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d16_rm28_rn441d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16),k4_xcmplx_0(28)) = k7_xcmplx_0(441,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d16_rn1d2_rnm15d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(15),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d16_rn35d2_rnm287d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16),k7_xcmplx_0(35,2)) = k7_xcmplx_0(k4_xcmplx_0(287),16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d16_rnm21d2_rn161d16,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16),k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(161,16) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_r1_rnm34d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),1) = k7_xcmplx_0(k4_xcmplx_0(34),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_r3_rnm88d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),3) = k7_xcmplx_0(k4_xcmplx_0(88),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn1d27_rnm8d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(8),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn1d3_rnm16d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(16),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn1d9_rnm10d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(10),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn2d3_rnm25d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(25),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn49d81_rnm70d81,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(49,81)) = k7_xcmplx_0(k4_xcmplx_0(70),81) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn4d9_rnm19d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(19),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn7d9_rnm28d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(28),27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d27_rn8d27_rnm5d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(8,27)) = k7_xcmplx_0(k4_xcmplx_0(5),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_r1_rnm9d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),1) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rm1_rnm5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rm2_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rm3_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rm4_rn1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k4_xcmplx_0(4)) = k7_xcmplx_0(1,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rm6_rn5d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k4_xcmplx_0(6)) = k7_xcmplx_0(5,2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rn1d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rn3d2_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rnm1d2_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rnm25d2_r9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(25),2)) = 9 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rnm35d2_r14,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(35),2)) = 14 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rnm3d2_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rnm5d2_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rnm7d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(7),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d2_rnm9d2_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rm1_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rn2d3_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rn5d3_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(5,3)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rn7d3_rnm14d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rn8d3_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(8,3)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rnm10d3_r1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(k4_xcmplx_0(10),3)) = 1 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rnm2d3_rnm5d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rnm4d3_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d3_rnm5d3_rnm2d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_r2_rnm15d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),2) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rm1_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rm7_rn21d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k4_xcmplx_0(7)) = k7_xcmplx_0(21,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rn1d4_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k7_xcmplx_0(1,4)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rnm1d2_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rnm1d4_rnm3d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rnm3d4_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d4_rnm7d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k7_xcmplx_0(k4_xcmplx_0(7),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d5_rnm2d5_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),5),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d5_rnm7d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),5),k7_xcmplx_0(k4_xcmplx_0(7),5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d64_r1_rnm71d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),64),1) = k7_xcmplx_0(k4_xcmplx_0(71),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d64_r7_rnm455d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),64),7) = k7_xcmplx_0(k4_xcmplx_0(455),64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d64_rm7_rn441d64,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),64),k4_xcmplx_0(7)) = k7_xcmplx_0(441,64) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_r2_rnm19d6,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),6),2) = k7_xcmplx_0(k4_xcmplx_0(19),6) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d8_rm1_rn1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k4_xcmplx_0(1)) = k7_xcmplx_0(1,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d8_rm6_rn41d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k4_xcmplx_0(6)) = k7_xcmplx_0(41,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d8_rn1d8_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k7_xcmplx_0(1,8)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d8_rnm1d8_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d8_rnm3d4_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d8_rnm7d8_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k7_xcmplx_0(k4_xcmplx_0(7),8)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d9_rnm1d3_rnm4d9,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),9),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealDiff__k6_xcmplx_0__rnm7d9_rnm7d9_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),9),k7_xcmplx_0(k4_xcmplx_0(7),9)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d27_rnm1d3_rn1d27,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),27),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,27) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d3_rn1d3_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k7_xcmplx_0(1,3)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d3_rn4d3_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k7_xcmplx_0(4,3)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d3_rn8d3_rnm16d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d3_rnm2d3_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d3_rnm4d3_rnm4d3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d3_rnm8d3_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k7_xcmplx_0(k4_xcmplx_0(8),3)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d5_rn12d5_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),k7_xcmplx_0(12,5)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d5_rn2d5_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),k7_xcmplx_0(2,5)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d5_rnm48d5_r8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),k7_xcmplx_0(k4_xcmplx_0(48),5)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rnm8d5_rnm8d5_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),k7_xcmplx_0(k4_xcmplx_0(8),5)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm91d30_rnm91d30_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(91),30),k7_xcmplx_0(k4_xcmplx_0(91),30)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm93d32_rnm93d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(93),32),k7_xcmplx_0(k4_xcmplx_0(93),32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm99d32_rnm3d32_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(99),32),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_r1_rnm11d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),1) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rm4_rnm1d2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rn1d2_rm5,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(5) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rn1d4_rnm19d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(19),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rnm1d2_rm4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rnm25d2_r8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(k4_xcmplx_0(25),2)) = 8 )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rnm35d2_r13,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(k4_xcmplx_0(35),2)) = 13 )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rnm3d2_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rnm45d2_r18,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(k4_xcmplx_0(45),2)) = 18 )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d2_rnm9d2_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(k4_xcmplx_0(9),2)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d32_rnm9d32_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),32),k7_xcmplx_0(k4_xcmplx_0(9),32)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rm1_rnm5d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rm4_rn7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k4_xcmplx_0(4)) = k7_xcmplx_0(7,4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rn3d4_rm3,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k7_xcmplx_0(3,4)) = k4_xcmplx_0(3) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rnm1d2_rnm7d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rnm1d4_rm2,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(2) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rnm3d2_rnm3d4,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rnm5d4_rm1,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k7_xcmplx_0(k4_xcmplx_0(5),4)) = k4_xcmplx_0(1) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d4_rnm9d4_r0,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k7_xcmplx_0(k4_xcmplx_0(9),4)) = 0 )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d8_rm1_rnm1d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),8),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d8_rm3_rn15d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),8),k4_xcmplx_0(3)) = k7_xcmplx_0(15,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d8_rm5_rn31d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),8),k4_xcmplx_0(5)) = k7_xcmplx_0(31,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d8_rm7_rn47d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),8),k4_xcmplx_0(7)) = k7_xcmplx_0(47,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d8_rnm3d2_rn3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),8),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(3,8) )).
fof(rqRealDiff__k6_xcmplx_0__rnm9d8_rnm3d4_rnm3d8,axiom,( k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),8),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealDiv__k7_xcmplx_0__r10_r9_rn10d9,axiom,( k7_xcmplx_0(10,9) = k7_xcmplx_0(10,9) )).
fof(rqRealDiv__k7_xcmplx_0__r120_r256_rn15d32,axiom,( k7_xcmplx_0(120,256) = k7_xcmplx_0(15,32) )).
fof(rqRealDiv__k7_xcmplx_0__r16_r2_r8,axiom,( k7_xcmplx_0(16,2) = 8 )).
fof(rqRealDiv__k7_xcmplx_0__r16_r7_rn16d7,axiom,( k7_xcmplx_0(16,7) = k7_xcmplx_0(16,7) )).
fof(rqRealDiv__k7_xcmplx_0__r16_r9_rn16d9,axiom,( k7_xcmplx_0(16,9) = k7_xcmplx_0(16,9) )).
fof(rqRealDiv__k7_xcmplx_0__r1_cr1r0_crm1r0,axiom,( k7_xcmplx_0(1,k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealDiv__k7_xcmplx_0__r1_cr1rm1_crnm1d2rnm1d2,axiom,( k7_xcmplx_0(1,k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealDiv__k7_xcmplx_0__r1_cr2r0_crnm1d2r0,axiom,( k7_xcmplx_0(1,k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealDiv__k7_xcmplx_0__r1_cr4r0_crnm1d4r0,axiom,( k7_xcmplx_0(1,k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealDiv__k7_xcmplx_0__r1_crm1r0_cr1r0,axiom,( k7_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealDiv__k7_xcmplx_0__r1_crm1r1_crn1d2rn1d2,axiom,( k7_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealDiv__k7_xcmplx_0__r1_crm2r0_crn1d2r0,axiom,( k7_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealDiv__k7_xcmplx_0__r1_crn1d2r0_crm2r0,axiom,( k7_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealDiv__k7_xcmplx_0__r1_crnm1d2r0_cr2r0,axiom,( k7_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealDiv__k7_xcmplx_0__r1_crnm1d2rn1d2_cr1r1,axiom,( k7_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealDiv__k7_xcmplx_0__r1_crnm3d2r0_crn2d3r0,axiom,( k7_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r100_rn1d100,axiom,( k7_xcmplx_0(1,100) = k7_xcmplx_0(1,100) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r10_rn1d10,axiom,( k7_xcmplx_0(1,10) = k7_xcmplx_0(1,10) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r128_rn1d128,axiom,( k7_xcmplx_0(1,128) = k7_xcmplx_0(1,128) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r12_rn1d12,axiom,( k7_xcmplx_0(1,12) = k7_xcmplx_0(1,12) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r15_rn1d15,axiom,( k7_xcmplx_0(1,15) = k7_xcmplx_0(1,15) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r168_rn1d168,axiom,( k7_xcmplx_0(1,168) = k7_xcmplx_0(1,168) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r16_rn1d16,axiom,( k7_xcmplx_0(1,16) = k7_xcmplx_0(1,16) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r17_rn1d17,axiom,( k7_xcmplx_0(1,17) = k7_xcmplx_0(1,17) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r18_rn1d18,axiom,( k7_xcmplx_0(1,18) = k7_xcmplx_0(1,18) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1,axiom,( k7_xcmplx_0(1,1) = 1 )).
fof(rqRealDiv__k7_xcmplx_0__r1_r24_rn1d24,axiom,( k7_xcmplx_0(1,24) = k7_xcmplx_0(1,24) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r256_rn1d256,axiom,( k7_xcmplx_0(1,256) = k7_xcmplx_0(1,256) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r27_rn1d27,axiom,( k7_xcmplx_0(1,27) = k7_xcmplx_0(1,27) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r28_rn1d28,axiom,( k7_xcmplx_0(1,28) = k7_xcmplx_0(1,28) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,axiom,( k7_xcmplx_0(1,2) = k7_xcmplx_0(1,2) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r30_rn1d30,axiom,( k7_xcmplx_0(1,30) = k7_xcmplx_0(1,30) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r32_rn1d32,axiom,( k7_xcmplx_0(1,32) = k7_xcmplx_0(1,32) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r36_rn1d36,axiom,( k7_xcmplx_0(1,36) = k7_xcmplx_0(1,36) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3,axiom,( k7_xcmplx_0(1,3) = k7_xcmplx_0(1,3) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r42_rn1d42,axiom,( k7_xcmplx_0(1,42) = k7_xcmplx_0(1,42) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4,axiom,( k7_xcmplx_0(1,4) = k7_xcmplx_0(1,4) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r54_rn1d54,axiom,( k7_xcmplx_0(1,54) = k7_xcmplx_0(1,54) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r5_rn1d5,axiom,( k7_xcmplx_0(1,5) = k7_xcmplx_0(1,5) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r60_rn1d60,axiom,( k7_xcmplx_0(1,60) = k7_xcmplx_0(1,60) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r641_rn1d641,axiom,( k7_xcmplx_0(1,641) = k7_xcmplx_0(1,641) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r64_rn1d64,axiom,( k7_xcmplx_0(1,64) = k7_xcmplx_0(1,64) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r6_rn1d6,axiom,( k7_xcmplx_0(1,6) = k7_xcmplx_0(1,6) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r72_rn1d72,axiom,( k7_xcmplx_0(1,72) = k7_xcmplx_0(1,72) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r7_rn1d7,axiom,( k7_xcmplx_0(1,7) = k7_xcmplx_0(1,7) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r8_rn1d8,axiom,( k7_xcmplx_0(1,8) = k7_xcmplx_0(1,8) )).
fof(rqRealDiv__k7_xcmplx_0__r1_r9_rn1d9,axiom,( k7_xcmplx_0(1,9) = k7_xcmplx_0(1,9) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm13_rnm1d13,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(13)) = k7_xcmplx_0(k4_xcmplx_0(1),13) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm16_rnm1d16,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(1)) = k4_xcmplx_0(1) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm23_rnm1d23,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(23)) = k7_xcmplx_0(k4_xcmplx_0(1),23) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm240_rnm1d240,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(240)) = k7_xcmplx_0(k4_xcmplx_0(1),240) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm24_rnm1d24,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(24)) = k7_xcmplx_0(k4_xcmplx_0(1),24) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm25_rnm1d25,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(25)) = k7_xcmplx_0(k4_xcmplx_0(1),25) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm32_rnm1d32,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(32)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm36_rnm1d36,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(36)) = k7_xcmplx_0(k4_xcmplx_0(1),36) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm48_rnm1d48,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(48)) = k7_xcmplx_0(k4_xcmplx_0(1),48) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm5_rnm1d5,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm64_rnm1d64,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(64)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm6_rnm1d6,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm8_rnm1d8,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rm9_rnm1d9,axiom,( k7_xcmplx_0(1,k4_xcmplx_0(9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(1,2)) = 2 )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(1,3)) = 3 )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(1,4)) = 4 )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d64_r64,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(1,64)) = 64 )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d6_r6,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(1,6)) = 6 )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d8_r8,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(1,8)) = 8 )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(2,3)) = k7_xcmplx_0(3,2) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn343d729_rn729d343,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(343,729)) = k7_xcmplx_0(729,343) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(3,4)) = k7_xcmplx_0(4,3) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rn4d5_rn5d4,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(4,5)) = k7_xcmplx_0(5,4) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d16_rm16,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k4_xcmplx_0(16) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(2) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d30_rm30,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),30)) = k4_xcmplx_0(30) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(3) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d48_rm48,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),48)) = k4_xcmplx_0(48) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(4) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d5_rm5,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k4_xcmplx_0(5) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d729_rm729,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),729)) = k4_xcmplx_0(729) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d7_rm7,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),7)) = k4_xcmplx_0(7) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d8_rm8,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k4_xcmplx_0(8) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d9_rm9,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k4_xcmplx_0(9) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d5_rnm5d2,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d9_rnm9d2,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),9)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm5d2_rnm2d5,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm7d2_rnm2d7,axiom,( k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(k4_xcmplx_0(2),7) )).
fof(rqRealDiv__k7_xcmplx_0__r20_r9_rn20d9,axiom,( k7_xcmplx_0(20,9) = k7_xcmplx_0(20,9) )).
fof(rqRealDiv__k7_xcmplx_0__r256_r2_r128,axiom,( k7_xcmplx_0(256,2) = 128 )).
fof(rqRealDiv__k7_xcmplx_0__r25_r16_rn25d16,axiom,( k7_xcmplx_0(25,16) = k7_xcmplx_0(25,16) )).
fof(rqRealDiv__k7_xcmplx_0__r25_r36_rn25d36,axiom,( k7_xcmplx_0(25,36) = k7_xcmplx_0(25,36) )).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2,axiom,( k7_xcmplx_0(2,1) = 2 )).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1,axiom,( k7_xcmplx_0(2,2) = 1 )).
fof(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3,axiom,( k7_xcmplx_0(2,3) = k7_xcmplx_0(2,3) )).
fof(rqRealDiv__k7_xcmplx_0__r2_r4_rn1d2,axiom,( k7_xcmplx_0(2,4) = k7_xcmplx_0(1,2) )).
fof(rqRealDiv__k7_xcmplx_0__r2_r5_rn2d5,axiom,( k7_xcmplx_0(2,5) = k7_xcmplx_0(2,5) )).
fof(rqRealDiv__k7_xcmplx_0__r2_r6_rn1d3,axiom,( k7_xcmplx_0(2,6) = k7_xcmplx_0(1,3) )).
fof(rqRealDiv__k7_xcmplx_0__r2_r8_rn1d4,axiom,( k7_xcmplx_0(2,8) = k7_xcmplx_0(1,4) )).
fof(rqRealDiv__k7_xcmplx_0__r2_r9_rn2d9,axiom,( k7_xcmplx_0(2,9) = k7_xcmplx_0(2,9) )).
fof(rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4,axiom,( k7_xcmplx_0(2,k7_xcmplx_0(1,2)) = 4 )).
fof(rqRealDiv__k7_xcmplx_0__r3_r24_rn1d8,axiom,( k7_xcmplx_0(3,24) = k7_xcmplx_0(1,8) )).
fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2,axiom,( k7_xcmplx_0(3,2) = k7_xcmplx_0(3,2) )).
fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1,axiom,( k7_xcmplx_0(3,3) = 1 )).
fof(rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4,axiom,( k7_xcmplx_0(3,4) = k7_xcmplx_0(3,4) )).
fof(rqRealDiv__k7_xcmplx_0__r3_r5_rn3d5,axiom,( k7_xcmplx_0(3,5) = k7_xcmplx_0(3,5) )).
fof(rqRealDiv__k7_xcmplx_0__r3_r8_rn3d8,axiom,( k7_xcmplx_0(3,8) = k7_xcmplx_0(3,8) )).
fof(rqRealDiv__k7_xcmplx_0__r4_r2_r2,axiom,( k7_xcmplx_0(4,2) = 2 )).
fof(rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3,axiom,( k7_xcmplx_0(4,3) = k7_xcmplx_0(4,3) )).
fof(rqRealDiv__k7_xcmplx_0__r4_r4_r1,axiom,( k7_xcmplx_0(4,4) = 1 )).
fof(rqRealDiv__k7_xcmplx_0__r4_r5_rn4d5,axiom,( k7_xcmplx_0(4,5) = k7_xcmplx_0(4,5) )).
fof(rqRealDiv__k7_xcmplx_0__r4_r6_rn2d3,axiom,( k7_xcmplx_0(4,6) = k7_xcmplx_0(2,3) )).
fof(rqRealDiv__k7_xcmplx_0__r4_r72_rn1d18,axiom,( k7_xcmplx_0(4,72) = k7_xcmplx_0(1,18) )).
fof(rqRealDiv__k7_xcmplx_0__r5_r2_rn5d2,axiom,( k7_xcmplx_0(5,2) = k7_xcmplx_0(5,2) )).
fof(rqRealDiv__k7_xcmplx_0__r5_r4_rn5d4,axiom,( k7_xcmplx_0(5,4) = k7_xcmplx_0(5,4) )).
fof(rqRealDiv__k7_xcmplx_0__r5_r6_rn5d6,axiom,( k7_xcmplx_0(5,6) = k7_xcmplx_0(5,6) )).
fof(rqRealDiv__k7_xcmplx_0__r6_r10_rn3d5,axiom,( k7_xcmplx_0(6,10) = k7_xcmplx_0(3,5) )).
fof(rqRealDiv__k7_xcmplx_0__r6_r3_r2,axiom,( k7_xcmplx_0(6,3) = 2 )).
fof(rqRealDiv__k7_xcmplx_0__r6_r6_r1,axiom,( k7_xcmplx_0(6,6) = 1 )).
fof(rqRealDiv__k7_xcmplx_0__r72_r2_r36,axiom,( k7_xcmplx_0(72,2) = 36 )).
fof(rqRealDiv__k7_xcmplx_0__r7_r3_rn7d3,axiom,( k7_xcmplx_0(7,3) = k7_xcmplx_0(7,3) )).
fof(rqRealDiv__k7_xcmplx_0__r81_r5_rn81d5,axiom,( k7_xcmplx_0(81,5) = k7_xcmplx_0(81,5) )).
fof(rqRealDiv__k7_xcmplx_0__r8_r1_r8,axiom,( k7_xcmplx_0(8,1) = 8 )).
fof(rqRealDiv__k7_xcmplx_0__r8_r2_r4,axiom,( k7_xcmplx_0(8,2) = 4 )).
fof(rqRealDiv__k7_xcmplx_0__r8_r4_r2,axiom,( k7_xcmplx_0(8,4) = 2 )).
fof(rqRealDiv__k7_xcmplx_0__r9_r16_rn9d16,axiom,( k7_xcmplx_0(9,16) = k7_xcmplx_0(9,16) )).
fof(rqRealDiv__k7_xcmplx_0__r9_r4_rn9d4,axiom,( k7_xcmplx_0(9,4) = k7_xcmplx_0(9,4) )).
fof(rqRealDiv__k7_xcmplx_0__r9_r8_rn9d8,axiom,( k7_xcmplx_0(9,8) = k7_xcmplx_0(9,8) )).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,axiom,( k7_xcmplx_0(k4_xcmplx_0(1),1) = k4_xcmplx_0(1) )).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,axiom,( k7_xcmplx_0(k4_xcmplx_0(1),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiv__k7_xcmplx_0__rm1_r6_rnm1d6,axiom,( k7_xcmplx_0(k4_xcmplx_0(1),6) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1,axiom,( k7_xcmplx_0(k4_xcmplx_0(2),2) = k4_xcmplx_0(1) )).
fof(rqRealDiv__k7_xcmplx_0__rm2_r4_rnm1d2,axiom,( k7_xcmplx_0(k4_xcmplx_0(2),4) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealDiv__k7_xcmplx_0__rm4_r4_rm1,axiom,( k7_xcmplx_0(k4_xcmplx_0(4),4) = k4_xcmplx_0(1) )).
fof(rqRealDiv__k7_xcmplx_0__rn1d2_r2_rn1d4,axiom,( k7_xcmplx_0(k7_xcmplx_0(1,2),2) = k7_xcmplx_0(1,4) )).
fof(rqRealDiv__k7_xcmplx_0__rn1d2_rn1d4_r2,axiom,( k7_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,4)) = 2 )).
fof(rqRealDiv__k7_xcmplx_0__rn1d3_r3_rn1d9,axiom,( k7_xcmplx_0(k7_xcmplx_0(1,3),3) = k7_xcmplx_0(1,9) )).
fof(rqRealDiv__k7_xcmplx_0__rn1d4_rn1d4_r1,axiom,( k7_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,4)) = 1 )).
fof(rqRealDiv__k7_xcmplx_0__rn2d9_rn1d3_rn2d3,axiom,( k7_xcmplx_0(k7_xcmplx_0(2,9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealDiv__k7_xcmplx_0__rn3d2_r2_rn3d4,axiom,( k7_xcmplx_0(k7_xcmplx_0(3,2),2) = k7_xcmplx_0(3,4) )).
fof(rqRealDiv__k7_xcmplx_0__rnm1d2_rn1d2_rm1,axiom,( k7_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr1r0_rm1,axiom,( k3_xcmplx_0(k1_xcmplx_0,k1_xcmplx_0) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr2r0_rm2,axiom,( k3_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(2,k1_xcmplx_0)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr3r0_rm3,axiom,( k3_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(3,k1_xcmplx_0)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r0_r1,axiom,( k3_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r1_cr1r1,axiom,( k3_xcmplx_0(k1_xcmplx_0,k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm2r0_r2,axiom,( k3_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm3r0_r3,axiom,( k3_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crn1d2r0_rnm1d2,axiom,( k3_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crnm1d2r0_rn1d2,axiom,( k3_xcmplx_0(k1_xcmplx_0,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crnm1d2rn1d2_crn1d2rn1d2,axiom,( k3_xcmplx_0(k1_xcmplx_0,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crnm1d2rnm1d2_crnm1d2rn1d2,axiom,( k3_xcmplx_0(k1_xcmplx_0,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r0_r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r1_cr1r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,1) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r2_cr2r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,2) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r3_cr3r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,3) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_rm2_crm2r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(2)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_rn1d2_crn1d2r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_rn1d3_crn1d3r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,3)) = k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_rnm1d2_crnm1d2r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r0_rnm1d4_crnm1d4r0,axiom,( k3_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r1_cr1r0_cr1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k1_xcmplx_0) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__cr1r1_crm1r0_crm1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__cr1r1_crn1d2rn1d2_cr1r0,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__cr1r1_crnm1d2rn1d2_r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = 1 )).
fof(rqRealMult__k3_xcmplx_0__cr1r1_crnm1d2rnm1d2_crm1r0,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr1r1_r1_cr1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),1) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__cr1r1_rn1d2_crn1d2rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1),k7_xcmplx_0(1,2)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__cr1r2_cr1r0_cr2rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__cr1r2_crm1r0_crm2r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__cr1r2_crnm1d2rnm1d2_crnm3d2rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,2),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__cr1r2_r1_cr1r2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,2),1) = k2_xcmplx_0(k1_xcmplx_0,2) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr1r0_crm1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr2r0_crm2rm2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr3r0_crm3rm3,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm1r0_cr1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm2r0_cr2r2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),2) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm3r0_cr3r3,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),3) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crnm1d2rnm1d2_r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = 1 )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_r1_cr1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),1) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_r2_cr2rm2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),2) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_rm2_crm2r2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)),k4_xcmplx_0(2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2) )).
fof(rqRealMult__k3_xcmplx_0__cr1rnm1d2_r1_cr1rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)),1) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_cr1r0_rm2,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k1_xcmplx_0) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_cr2r0_rm4,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_crn1d2r0_rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_crnm1d2r0_r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_crnm1d2rn1d2_cr1r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_crnm1d2rnm1d2_crm1r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_r1_cr2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_r2_cr4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),2) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_rn1d2_cr1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(1,2)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_rn1d3_crn2d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(1,3)) = k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_rn3d2_cr3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(3,2)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr2r0_rnm1d2_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr2rm2_crn1d2r0_crm1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__cr2rm2_crnm1d2r0_cr1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__cr2rm2_r1_cr2rm2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)),1) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealMult__k3_xcmplx_0__cr2rm2_rnm1d2_crm1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__cr3r0_cr1r0_rm3,axiom,( k3_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k1_xcmplx_0) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__cr3r0_r1_cr3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),1) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr3r0_rn1d3_cr1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(1,3)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__cr3r0_rnm1d3_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr3rm3_r1_cr3rm3,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)),1) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealMult__k3_xcmplx_0__cr3rm3_rn1d3_cr1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)),k7_xcmplx_0(1,3)) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__cr3rm3_rnm1d3_crm1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k4_xcmplx_0(3)),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__cr4r0_cr2r0_rm8,axiom,( k3_xcmplx_0(k3_xcmplx_0(4,k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__cr4r0_r1_cr4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(4,k1_xcmplx_0),1) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__cr8r0_cr1r0_rm8,axiom,( k3_xcmplx_0(k3_xcmplx_0(8,k1_xcmplx_0),k1_xcmplx_0) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__cr8r0_cr2r0_rm16,axiom,( k3_xcmplx_0(k3_xcmplx_0(8,k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__cr8r0_r1_cr8r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(8,k1_xcmplx_0),1) = k3_xcmplx_0(8,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr1r0_r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k1_xcmplx_0) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr2r0_r2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr3r0_r3,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm1r0_rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm2r0_rm2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm3r0_rm3,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crn1d2r0_rn1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crn1d2rn1d2_crnm1d2rn1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crnm1d2r0_rnm1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crnm1d2rn1d2_crnm1d2rnm1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crnm1d2rnm1d2_crn1d2rnm1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r1_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r2_crm2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r3_crm3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),3) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rm2_cr2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(2)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rn1d2_crnm1d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rn1d3_crnm1d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,3)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rnm1d2_crn1d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rnm1d3_crn1d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rnm1d4_crn1d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_cr1r0_cr1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k1_xcmplx_0) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_crm1r0_crm1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_crnm1d2rn1d2_crm1r0,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_crnm1d2rnm1d2_rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_r1_crm1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),1) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_r2_crm2r2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),2) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_rm2_cr2rm2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k4_xcmplx_0(2)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r1_rn1d2_crnm1d2rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1),k7_xcmplx_0(1,2)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r2_cr1r0_cr2r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crm1r2_crm1r0_crm2rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r2_crnm1d2rnm1d2_crnm1d2rnm3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealMult__k3_xcmplx_0__crm1r2_r1_crm1r2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2),1) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),2) )).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_cr1r0_crm1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_crm1r0_cr1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_r1_crm1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)),1) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_cr1r0_r2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k1_xcmplx_0) = 2 )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_cr2r0_r4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_crm1r0_rm2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_crn1d2r0_r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_crnm1d2r0_rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_crnm1d2rn1d2_crm1rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_r1_crm2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_rn1d2_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k7_xcmplx_0(1,2)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_rn1d3_crnm2d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k7_xcmplx_0(1,3)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_rn3d2_crm3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k7_xcmplx_0(3,2)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm2r0_rnm1d2_cr1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__crm2r1_crnm1d2rnm1d2_crn1d2rnm3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealMult__k3_xcmplx_0__crm2r1_r1_crm2r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1),1) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crm3r0_r1_crm3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),1) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm3r0_rn1d3_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(1,3)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm3r0_rnm1d3_cr1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__crm3r3_r1_crm3r3,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3),1) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3) )).
fof(rqRealMult__k3_xcmplx_0__crm3r3_rn1d3_crm1r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3),k7_xcmplx_0(1,3)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crm3r3_rnm1d3_cr1rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crm4r0_cr2r0_r8,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__crm4r0_r1_crm4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0),1) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crm8r0_cr1r0_r8,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0),k1_xcmplx_0) = 8 )).
fof(rqRealMult__k3_xcmplx_0__crm8r0_r1_crm8r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0),1) = k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d16r0_cr1r0_rnm1d16,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__crn1d16r0_crm1r0_rn1d16,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__crn1d16r0_r1_crn1d16r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d16r0_rnm1d4_crnm1d64r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d18r0_cr1r0_rnm1d18,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,18),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealMult__k3_xcmplx_0__crn1d18r0_r1_crn1d18r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,18),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,18),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_cr1r0_rnm1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_cr2r0_rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_cr3r0_rnm3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_crm1r0_rn1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_crm1r1_crn1d2rn1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_crm2r0_r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_crm3r0_rn3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_crn1d2r0_rnm1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_crnm1d2r0_rn1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_r1_crn1d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_r2_cr1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),2) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rm2_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(2)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rm3_crnm3d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(3)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rn1d2_crn1d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rn1d3_crn1d6r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,3)) = k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rn1d9_crn1d18r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,9)) = k3_xcmplx_0(k7_xcmplx_0(1,18),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rn2d3_crn1d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(2,3)) = k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rnm1d2_crnm1d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rnm1d3_crnm1d6r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r0_rnm1d4_crnm1d8r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r1_cr1r0_cr1rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1),k1_xcmplx_0) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r1_crm1r0_crm1rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2r1_r1_crn1d2r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rm1_cr1r0_crm1rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rm1_cr2r0_crm2rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rm1_cr3r0_crm3rnm3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rm1_crm1r0_cr1rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rm1_crm2r0_cr2r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rm1_crm3r0_cr3rn3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rm1_r1_crn1d2rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rn1d2_cr1r0_crn1d2rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rn1d2_crm1r1_r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rnm1d2_cr1r0_crnm1d2rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rnm1d2_cr3r0_crnm3d2rnm3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k3_xcmplx_0(3,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rnm1d2_crm1rm1_r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1))) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rnm1d2_crm3r0_crn3d2rn3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d2rnm1d2_r1_crn1d2rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crn1d3r0_cr1r0_rnm1d3,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__crn1d3r0_r1_crn1d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d4r0_cr1r0_rnm1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__crn1d4r0_cr2r0_rnm1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__crn1d4r0_crm1r0_rn1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__crn1d4r0_r1_crn1d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d4r0_r2_crn1d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),2) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d4r0_rnm1d4_crnm1d16r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d64r0_r1_crn1d64r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d6r0_cr1r0_rnm1d6,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__crn1d6r0_r1_crn1d6r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn1d8r0_r1_crn1d8r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn2d3r0_crn3d2r0_rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crn2d3r0_crnm3d2r0_r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crn2d3r0_r1_crn2d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn2d3r0_r3_cr2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),3) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn2d3r0_rm3_crm2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),k4_xcmplx_0(3)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn2d3r0_rn3d2_cr1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),k7_xcmplx_0(3,2)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__crn2d3r0_rnm3d2_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn3d16r0_r1_crn3d16r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn3d2r0_cr1r0_rnm3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__crn3d2r0_r1_crn3d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crn3d4r0_cr2r0_rnm3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__crn3d4r0_r1_crn3d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d16r0_cr1r0_rn1d16,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d16r0_crm1r0_rnm1d16,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d16r0_r1_crnm1d16r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d16r0_rnm1d4_crn1d64r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d18r0_cr1r0_rn1d18,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),18),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(1,18) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d18r0_r1_crnm1d18r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),18),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),18),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_cr1r0_rn1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_cr2r0_r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_cr3r0_rn3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(3,k1_xcmplx_0)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_crm1r0_rnm1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_crm2r0_rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_crm3r0_rnm3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_crn1d2r0_rn1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_crnm1d2r0_rnm1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_r1_crnm1d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rm2_cr1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(2)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rn1d2_crnm1d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rn1d3_crnm1d6r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,3)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rn1d9_crnm1d18r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,9)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),18),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rn2d3_crnm1d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(2,3)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rnm1d2_crn1d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rnm1d3_crn1d6r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2r0_rnm1d4_crn1d8r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rm1_cr1r0_crm1rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rm1_cr2r0_crm2r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(2,k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rm1_crm1r0_cr1rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rm1_crm2r0_cr2rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rm1_crm3r0_cr3rnm3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rm1_r1_crnm1d2rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rn1d2_cr1r0_crn1d2rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rn1d2_crm1rm1_rm1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1))) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rn1d2_r1_crnm1d2rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rnm1d2_cr1r0_crnm1d2rn1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k1_xcmplx_0) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rnm1d2_cr1rm1_r1,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rnm1d2_crm1rm1_cr1r0,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1))) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rnm1d2_crm3r0_crn3d2rnm3d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d2rnm1d2_r1_crnm1d2rnm1d2,axiom,( k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)),1) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d3r0_cr1r0_rn1d3,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d3r0_r1_crnm1d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d4r0_cr1r0_rn1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d4r0_cr2r0_rn1d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d4r0_crm1r0_rnm1d4,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d4r0_r1_crnm1d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d4r0_r2_crnm1d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),2) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d4r0_rnm1d4_crn1d16r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d64r0_r1_crnm1d64r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d6r0_cr1r0_rn1d6,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d6r0_cr2r0_rn1d3,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d6r0_r1_crnm1d6r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm1d8r0_r1_crnm1d8r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm2d3r0_crn3d2r0_r1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__crnm2d3r0_crnm3d2r0_rm1,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__crnm2d3r0_r1_crnm2d3r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm2d3r0_r3_crm2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0),3) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm2d3r0_rn3d2_crm1r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k1_xcmplx_0),k7_xcmplx_0(3,2)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm3d16r0_r1_crnm3d16r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm3d2r0_cr1r0_rn3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k1_xcmplx_0) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__crnm3d2r0_cr2r0_r3,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(2,k1_xcmplx_0)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__crnm3d2r0_crm1r0_rnm3d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__crnm3d2r0_crm2r0_rm3,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__crnm3d2r0_crm3r0_rnm9d2,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__crnm3d2r0_r1_crnm3d2r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__crnm3d4r0_r1_crnm3d4r0,axiom,( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0),1) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r0_cr1r0_r0,axiom,( k3_xcmplx_0(0,k1_xcmplx_0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_crnm1d2r0_r0,axiom,( k3_xcmplx_0(0,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0,axiom,( k3_xcmplx_0(0,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r16_r0,axiom,( k3_xcmplx_0(0,16) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0,axiom,( k3_xcmplx_0(0,1) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r256_r0,axiom,( k3_xcmplx_0(0,256) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r257_r0,axiom,( k3_xcmplx_0(0,257) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r27_r0,axiom,( k3_xcmplx_0(0,27) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0,axiom,( k3_xcmplx_0(0,2) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r32_r0,axiom,( k3_xcmplx_0(0,32) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r3_r0,axiom,( k3_xcmplx_0(0,3) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r4_r0,axiom,( k3_xcmplx_0(0,4) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r5_r0,axiom,( k3_xcmplx_0(0,5) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r641_r0,axiom,( k3_xcmplx_0(0,641) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r64_r0,axiom,( k3_xcmplx_0(0,64) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r6_r0,axiom,( k3_xcmplx_0(0,6) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0,axiom,( k3_xcmplx_0(0,7) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r8_r0,axiom,( k3_xcmplx_0(0,8) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_r9_r0,axiom,( k3_xcmplx_0(0,9) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0,axiom,( k3_xcmplx_0(0,k4_xcmplx_0(2)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rm3_r0,axiom,( k3_xcmplx_0(0,k4_xcmplx_0(3)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d10_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,10)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d12_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,12)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d24_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,24)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,2)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d30_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,30)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d32_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,32)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d3_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,3)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d42_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,42)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d4_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,4)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d5_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,5)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d6_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,6)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d9_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(1,9)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r0_rn2d3_r0,axiom,( k3_xcmplx_0(0,k7_xcmplx_0(2,3)) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r100_r1_r100,axiom,( k3_xcmplx_0(100,1) = 100 )).
fof(rqRealMult__k3_xcmplx_0__r101_r1_r101,axiom,( k3_xcmplx_0(101,1) = 101 )).
fof(rqRealMult__k3_xcmplx_0__r102_r1_r102,axiom,( k3_xcmplx_0(102,1) = 102 )).
fof(rqRealMult__k3_xcmplx_0__r105_r1_r105,axiom,( k3_xcmplx_0(105,1) = 105 )).
fof(rqRealMult__k3_xcmplx_0__r105_r3_r315,axiom,( k3_xcmplx_0(105,3) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r107_r1_r107,axiom,( k3_xcmplx_0(107,1) = 107 )).
fof(rqRealMult__k3_xcmplx_0__r107_r2_r214,axiom,( k3_xcmplx_0(107,2) = 214 )).
fof(rqRealMult__k3_xcmplx_0__r108_r1_r108,axiom,( k3_xcmplx_0(108,1) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r108_rm2_rm216,axiom,( k3_xcmplx_0(108,k4_xcmplx_0(2)) = k4_xcmplx_0(216) )).
fof(rqRealMult__k3_xcmplx_0__r10_r10_r100,axiom,( k3_xcmplx_0(10,10) = 100 )).
fof(rqRealMult__k3_xcmplx_0__r10_r11_r110,axiom,( k3_xcmplx_0(10,11) = 110 )).
fof(rqRealMult__k3_xcmplx_0__r10_r13_r130,axiom,( k3_xcmplx_0(10,13) = 130 )).
fof(rqRealMult__k3_xcmplx_0__r10_r14_r140,axiom,( k3_xcmplx_0(10,14) = 140 )).
fof(rqRealMult__k3_xcmplx_0__r10_r16_r160,axiom,( k3_xcmplx_0(10,16) = 160 )).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10,axiom,( k3_xcmplx_0(10,1) = 10 )).
fof(rqRealMult__k3_xcmplx_0__r10_r20_r200,axiom,( k3_xcmplx_0(10,20) = 200 )).
fof(rqRealMult__k3_xcmplx_0__r10_r22_r220,axiom,( k3_xcmplx_0(10,22) = 220 )).
fof(rqRealMult__k3_xcmplx_0__r10_r25_r250,axiom,( k3_xcmplx_0(10,25) = 250 )).
fof(rqRealMult__k3_xcmplx_0__r10_r29_r290,axiom,( k3_xcmplx_0(10,29) = 290 )).
fof(rqRealMult__k3_xcmplx_0__r10_r2_r20,axiom,( k3_xcmplx_0(10,2) = 20 )).
fof(rqRealMult__k3_xcmplx_0__r10_r3_r30,axiom,( k3_xcmplx_0(10,3) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r10_r4_r40,axiom,( k3_xcmplx_0(10,4) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r10_r5_r50,axiom,( k3_xcmplx_0(10,5) = 50 )).
fof(rqRealMult__k3_xcmplx_0__r10_r6_r60,axiom,( k3_xcmplx_0(10,6) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r10_r7_r70,axiom,( k3_xcmplx_0(10,7) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r10_r8_r80,axiom,( k3_xcmplx_0(10,8) = 80 )).
fof(rqRealMult__k3_xcmplx_0__r10_r9_r90,axiom,( k3_xcmplx_0(10,9) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r10_rm2_rm20,axiom,( k3_xcmplx_0(10,k4_xcmplx_0(2)) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__r10_rm3_rm30,axiom,( k3_xcmplx_0(10,k4_xcmplx_0(3)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__r10_rm6_rm60,axiom,( k3_xcmplx_0(10,k4_xcmplx_0(6)) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__r10_rm8_rm80,axiom,( k3_xcmplx_0(10,k4_xcmplx_0(8)) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__r10_rn1d10_r1,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(1,10)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r10_rn1d2_r5,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(1,2)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__r10_rn1d4_rn5d2,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__r10_rn1d5_r2,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(1,5)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r10_rn1d9_rn10d9,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(1,9)) = k7_xcmplx_0(10,9) )).
fof(rqRealMult__k3_xcmplx_0__r10_rn2d5_r4,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(2,5)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r10_rn5d2_r25,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(5,2)) = 25 )).
fof(rqRealMult__k3_xcmplx_0__r10_rnm12d5_rm24,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(12),5)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r10_rnm1d16_rnm5d8,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealMult__k3_xcmplx_0__r10_rnm1d2_rm5,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__r10_rnm1d5_rm2,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r10_rnm2d5_rm4,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r10_rnm36d5_rm72,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(36),5)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r10_rnm5d2_rm25,axiom,( k3_xcmplx_0(10,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k4_xcmplx_0(25) )).
fof(rqRealMult__k3_xcmplx_0__r111_r1_r111,axiom,( k3_xcmplx_0(111,1) = 111 )).
fof(rqRealMult__k3_xcmplx_0__r111_rn1d4_rn111d4,axiom,( k3_xcmplx_0(111,k7_xcmplx_0(1,4)) = k7_xcmplx_0(111,4) )).
fof(rqRealMult__k3_xcmplx_0__r111_rnm1d16_rnm111d16,axiom,( k3_xcmplx_0(111,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(111),16) )).
fof(rqRealMult__k3_xcmplx_0__r112_r1_r112,axiom,( k3_xcmplx_0(112,1) = 112 )).
fof(rqRealMult__k3_xcmplx_0__r112_rn1d4_r28,axiom,( k3_xcmplx_0(112,k7_xcmplx_0(1,4)) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r112_rn1d8_r14,axiom,( k3_xcmplx_0(112,k7_xcmplx_0(1,8)) = 14 )).
fof(rqRealMult__k3_xcmplx_0__r112_rnm1d16_rm7,axiom,( k3_xcmplx_0(112,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__r114_r1_r114,axiom,( k3_xcmplx_0(114,1) = 114 )).
fof(rqRealMult__k3_xcmplx_0__r114_r2_r228,axiom,( k3_xcmplx_0(114,2) = 228 )).
fof(rqRealMult__k3_xcmplx_0__r114_r3_r342,axiom,( k3_xcmplx_0(114,3) = 342 )).
fof(rqRealMult__k3_xcmplx_0__r114_rm3_rm342,axiom,( k3_xcmplx_0(114,k4_xcmplx_0(3)) = k4_xcmplx_0(342) )).
fof(rqRealMult__k3_xcmplx_0__r116_r1_r116,axiom,( k3_xcmplx_0(116,1) = 116 )).
fof(rqRealMult__k3_xcmplx_0__r117_r1_r117,axiom,( k3_xcmplx_0(117,1) = 117 )).
fof(rqRealMult__k3_xcmplx_0__r119_r1_r119,axiom,( k3_xcmplx_0(119,1) = 119 )).
fof(rqRealMult__k3_xcmplx_0__r119_r2_r238,axiom,( k3_xcmplx_0(119,2) = 238 )).
fof(rqRealMult__k3_xcmplx_0__r11_r10_r110,axiom,( k3_xcmplx_0(11,10) = 110 )).
fof(rqRealMult__k3_xcmplx_0__r11_r12_r132,axiom,( k3_xcmplx_0(11,12) = 132 )).
fof(rqRealMult__k3_xcmplx_0__r11_r14_r154,axiom,( k3_xcmplx_0(11,14) = 154 )).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11,axiom,( k3_xcmplx_0(11,1) = 11 )).
fof(rqRealMult__k3_xcmplx_0__r11_r28_r308,axiom,( k3_xcmplx_0(11,28) = 308 )).
fof(rqRealMult__k3_xcmplx_0__r11_r2_r22,axiom,( k3_xcmplx_0(11,2) = 22 )).
fof(rqRealMult__k3_xcmplx_0__r11_r3_r33,axiom,( k3_xcmplx_0(11,3) = 33 )).
fof(rqRealMult__k3_xcmplx_0__r11_r4_r44,axiom,( k3_xcmplx_0(11,4) = 44 )).
fof(rqRealMult__k3_xcmplx_0__r11_r57_r627,axiom,( k3_xcmplx_0(11,57) = 627 )).
fof(rqRealMult__k3_xcmplx_0__r11_r5_r55,axiom,( k3_xcmplx_0(11,5) = 55 )).
fof(rqRealMult__k3_xcmplx_0__r11_r6_r66,axiom,( k3_xcmplx_0(11,6) = 66 )).
fof(rqRealMult__k3_xcmplx_0__r11_r7_r77,axiom,( k3_xcmplx_0(11,7) = 77 )).
fof(rqRealMult__k3_xcmplx_0__r11_r8_r88,axiom,( k3_xcmplx_0(11,8) = 88 )).
fof(rqRealMult__k3_xcmplx_0__r11_r9_r99,axiom,( k3_xcmplx_0(11,9) = 99 )).
fof(rqRealMult__k3_xcmplx_0__r11_rm2_rm22,axiom,( k3_xcmplx_0(11,k4_xcmplx_0(2)) = k4_xcmplx_0(22) )).
fof(rqRealMult__k3_xcmplx_0__r11_rn1d2_rn11d2,axiom,( k3_xcmplx_0(11,k7_xcmplx_0(1,2)) = k7_xcmplx_0(11,2) )).
fof(rqRealMult__k3_xcmplx_0__r11_rnm1d2_rnm11d2,axiom,( k3_xcmplx_0(11,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealMult__k3_xcmplx_0__r120_r1_r120,axiom,( k3_xcmplx_0(120,1) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r120_r6_r720,axiom,( k3_xcmplx_0(120,6) = 720 )).
fof(rqRealMult__k3_xcmplx_0__r120_rn1d256_rn15d32,axiom,( k3_xcmplx_0(120,k7_xcmplx_0(1,256)) = k7_xcmplx_0(15,32) )).
fof(rqRealMult__k3_xcmplx_0__r121_r1_r121,axiom,( k3_xcmplx_0(121,1) = 121 )).
fof(rqRealMult__k3_xcmplx_0__r124_r1_r124,axiom,( k3_xcmplx_0(124,1) = 124 )).
fof(rqRealMult__k3_xcmplx_0__r125_r1_r125,axiom,( k3_xcmplx_0(125,1) = 125 )).
fof(rqRealMult__k3_xcmplx_0__r125_r5_r625,axiom,( k3_xcmplx_0(125,5) = 625 )).
fof(rqRealMult__k3_xcmplx_0__r126_r1_r126,axiom,( k3_xcmplx_0(126,1) = 126 )).
fof(rqRealMult__k3_xcmplx_0__r126_r5_r630,axiom,( k3_xcmplx_0(126,5) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r126_rm2_rm252,axiom,( k3_xcmplx_0(126,k4_xcmplx_0(2)) = k4_xcmplx_0(252) )).
fof(rqRealMult__k3_xcmplx_0__r128_r1_r128,axiom,( k3_xcmplx_0(128,1) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r128_r2_r256,axiom,( k3_xcmplx_0(128,2) = 256 )).
fof(rqRealMult__k3_xcmplx_0__r128_r5_r640,axiom,( k3_xcmplx_0(128,5) = 640 )).
fof(rqRealMult__k3_xcmplx_0__r12_r11_r132,axiom,( k3_xcmplx_0(12,11) = 132 )).
fof(rqRealMult__k3_xcmplx_0__r12_r13_r156,axiom,( k3_xcmplx_0(12,13) = 156 )).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12,axiom,( k3_xcmplx_0(12,1) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r12_r2_r24,axiom,( k3_xcmplx_0(12,2) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r12_r3_r36,axiom,( k3_xcmplx_0(12,3) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r12_r4_r48,axiom,( k3_xcmplx_0(12,4) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r12_r5_r60,axiom,( k3_xcmplx_0(12,5) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r12_r6_r72,axiom,( k3_xcmplx_0(12,6) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r12_r7_r84,axiom,( k3_xcmplx_0(12,7) = 84 )).
fof(rqRealMult__k3_xcmplx_0__r12_r9_r108,axiom,( k3_xcmplx_0(12,9) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r12_rm2_rm24,axiom,( k3_xcmplx_0(12,k4_xcmplx_0(2)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r12_rm3_rm36,axiom,( k3_xcmplx_0(12,k4_xcmplx_0(3)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r12_rm4_rm48,axiom,( k3_xcmplx_0(12,k4_xcmplx_0(4)) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__r12_rm6_rm72,axiom,( k3_xcmplx_0(12,k4_xcmplx_0(6)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r12_rm9_rm108,axiom,( k3_xcmplx_0(12,k4_xcmplx_0(9)) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d24_rn1d2,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d2_r6,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(1,2)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d4_r3,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(1,4)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d6_r2,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(1,6)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d8_rn3d2,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(1,8)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__r12_rn2d3_r8,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(2,3)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d16_rnm3d4,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d2_rm6,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d4_rm3,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d6_rm2,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d8_rnm3d2,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__r12_rnm2d3_rm8,axiom,( k3_xcmplx_0(12,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__r130_r1_r130,axiom,( k3_xcmplx_0(130,1) = 130 )).
fof(rqRealMult__k3_xcmplx_0__r131_r1_r131,axiom,( k3_xcmplx_0(131,1) = 131 )).
fof(rqRealMult__k3_xcmplx_0__r132_r1_r132,axiom,( k3_xcmplx_0(132,1) = 132 )).
fof(rqRealMult__k3_xcmplx_0__r135_r1_r135,axiom,( k3_xcmplx_0(135,1) = 135 )).
fof(rqRealMult__k3_xcmplx_0__r136_r1_r136,axiom,( k3_xcmplx_0(136,1) = 136 )).
fof(rqRealMult__k3_xcmplx_0__r138_r1_r138,axiom,( k3_xcmplx_0(138,1) = 138 )).
fof(rqRealMult__k3_xcmplx_0__r13_r10_r130,axiom,( k3_xcmplx_0(13,10) = 130 )).
fof(rqRealMult__k3_xcmplx_0__r13_r12_r156,axiom,( k3_xcmplx_0(13,12) = 156 )).
fof(rqRealMult__k3_xcmplx_0__r13_r13_r169,axiom,( k3_xcmplx_0(13,13) = 169 )).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13,axiom,( k3_xcmplx_0(13,1) = 13 )).
fof(rqRealMult__k3_xcmplx_0__r13_r23_r299,axiom,( k3_xcmplx_0(13,23) = 299 )).
fof(rqRealMult__k3_xcmplx_0__r13_r24_r312,axiom,( k3_xcmplx_0(13,24) = 312 )).
fof(rqRealMult__k3_xcmplx_0__r13_r2_r26,axiom,( k3_xcmplx_0(13,2) = 26 )).
fof(rqRealMult__k3_xcmplx_0__r13_r3_r39,axiom,( k3_xcmplx_0(13,3) = 39 )).
fof(rqRealMult__k3_xcmplx_0__r13_r48_r624,axiom,( k3_xcmplx_0(13,48) = 624 )).
fof(rqRealMult__k3_xcmplx_0__r13_r4_r52,axiom,( k3_xcmplx_0(13,4) = 52 )).
fof(rqRealMult__k3_xcmplx_0__r13_r5_r65,axiom,( k3_xcmplx_0(13,5) = 65 )).
fof(rqRealMult__k3_xcmplx_0__r13_r6_r78,axiom,( k3_xcmplx_0(13,6) = 78 )).
fof(rqRealMult__k3_xcmplx_0__r13_r7_r91,axiom,( k3_xcmplx_0(13,7) = 91 )).
fof(rqRealMult__k3_xcmplx_0__r13_r8_r104,axiom,( k3_xcmplx_0(13,8) = 104 )).
fof(rqRealMult__k3_xcmplx_0__r13_rm2_rm26,axiom,( k3_xcmplx_0(13,k4_xcmplx_0(2)) = k4_xcmplx_0(26) )).
fof(rqRealMult__k3_xcmplx_0__r13_rm3_rm39,axiom,( k3_xcmplx_0(13,k4_xcmplx_0(3)) = k4_xcmplx_0(39) )).
fof(rqRealMult__k3_xcmplx_0__r13_rm6_rm78,axiom,( k3_xcmplx_0(13,k4_xcmplx_0(6)) = k4_xcmplx_0(78) )).
fof(rqRealMult__k3_xcmplx_0__r13_rm8_rm104,axiom,( k3_xcmplx_0(13,k4_xcmplx_0(8)) = k4_xcmplx_0(104) )).
fof(rqRealMult__k3_xcmplx_0__r140_r1_r140,axiom,( k3_xcmplx_0(140,1) = 140 )).
fof(rqRealMult__k3_xcmplx_0__r143_r1_r143,axiom,( k3_xcmplx_0(143,1) = 143 )).
fof(rqRealMult__k3_xcmplx_0__r144_r1_r144,axiom,( k3_xcmplx_0(144,1) = 144 )).
fof(rqRealMult__k3_xcmplx_0__r147_r1_r147,axiom,( k3_xcmplx_0(147,1) = 147 )).
fof(rqRealMult__k3_xcmplx_0__r14_r10_r140,axiom,( k3_xcmplx_0(14,10) = 140 )).
fof(rqRealMult__k3_xcmplx_0__r14_r11_r154,axiom,( k3_xcmplx_0(14,11) = 154 )).
fof(rqRealMult__k3_xcmplx_0__r14_r13_r182,axiom,( k3_xcmplx_0(14,13) = 182 )).
fof(rqRealMult__k3_xcmplx_0__r14_r1_r14,axiom,( k3_xcmplx_0(14,1) = 14 )).
fof(rqRealMult__k3_xcmplx_0__r14_r2_r28,axiom,( k3_xcmplx_0(14,2) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r14_r3_r42,axiom,( k3_xcmplx_0(14,3) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r14_r4_r56,axiom,( k3_xcmplx_0(14,4) = 56 )).
fof(rqRealMult__k3_xcmplx_0__r14_r5_r70,axiom,( k3_xcmplx_0(14,5) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r14_r7_r98,axiom,( k3_xcmplx_0(14,7) = 98 )).
fof(rqRealMult__k3_xcmplx_0__r14_r8_r112,axiom,( k3_xcmplx_0(14,8) = 112 )).
fof(rqRealMult__k3_xcmplx_0__r14_rm2_rm28,axiom,( k3_xcmplx_0(14,k4_xcmplx_0(2)) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__r14_rm3_rm42,axiom,( k3_xcmplx_0(14,k4_xcmplx_0(3)) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__r14_rm6_rm84,axiom,( k3_xcmplx_0(14,k4_xcmplx_0(6)) = k4_xcmplx_0(84) )).
fof(rqRealMult__k3_xcmplx_0__r14_rm8_rm112,axiom,( k3_xcmplx_0(14,k4_xcmplx_0(8)) = k4_xcmplx_0(112) )).
fof(rqRealMult__k3_xcmplx_0__r14_rn1d4_rn7d2,axiom,( k3_xcmplx_0(14,k7_xcmplx_0(1,4)) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__r14_rnm1d16_rnm7d8,axiom,( k3_xcmplx_0(14,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealMult__k3_xcmplx_0__r150_r1_r150,axiom,( k3_xcmplx_0(150,1) = 150 )).
fof(rqRealMult__k3_xcmplx_0__r153_r1_r153,axiom,( k3_xcmplx_0(153,1) = 153 )).
fof(rqRealMult__k3_xcmplx_0__r156_r1_r156,axiom,( k3_xcmplx_0(156,1) = 156 )).
fof(rqRealMult__k3_xcmplx_0__r158_r2_r316,axiom,( k3_xcmplx_0(158,2) = 316 )).
fof(rqRealMult__k3_xcmplx_0__r159_rn1d100_rn159d100,axiom,( k3_xcmplx_0(159,k7_xcmplx_0(1,100)) = k7_xcmplx_0(159,100) )).
fof(rqRealMult__k3_xcmplx_0__r15_r13_r195,axiom,( k3_xcmplx_0(15,13) = 195 )).
fof(rqRealMult__k3_xcmplx_0__r15_r1_r15,axiom,( k3_xcmplx_0(15,1) = 15 )).
fof(rqRealMult__k3_xcmplx_0__r15_r2_r30,axiom,( k3_xcmplx_0(15,2) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r15_r3_r45,axiom,( k3_xcmplx_0(15,3) = 45 )).
fof(rqRealMult__k3_xcmplx_0__r15_r4_r60,axiom,( k3_xcmplx_0(15,4) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r15_r5_r75,axiom,( k3_xcmplx_0(15,5) = 75 )).
fof(rqRealMult__k3_xcmplx_0__r15_r7_r105,axiom,( k3_xcmplx_0(15,7) = 105 )).
fof(rqRealMult__k3_xcmplx_0__r15_r8_r120,axiom,( k3_xcmplx_0(15,8) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r15_r9_r135,axiom,( k3_xcmplx_0(15,9) = 135 )).
fof(rqRealMult__k3_xcmplx_0__r15_rm2_rm30,axiom,( k3_xcmplx_0(15,k4_xcmplx_0(2)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__r15_rm3_rm45,axiom,( k3_xcmplx_0(15,k4_xcmplx_0(3)) = k4_xcmplx_0(45) )).
fof(rqRealMult__k3_xcmplx_0__r15_rm6_rm90,axiom,( k3_xcmplx_0(15,k4_xcmplx_0(6)) = k4_xcmplx_0(90) )).
fof(rqRealMult__k3_xcmplx_0__r15_rm8_rm120,axiom,( k3_xcmplx_0(15,k4_xcmplx_0(8)) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__r15_rm9_rm135,axiom,( k3_xcmplx_0(15,k4_xcmplx_0(9)) = k4_xcmplx_0(135) )).
fof(rqRealMult__k3_xcmplx_0__r15_rn1d2_rn15d2,axiom,( k3_xcmplx_0(15,k7_xcmplx_0(1,2)) = k7_xcmplx_0(15,2) )).
fof(rqRealMult__k3_xcmplx_0__r160_r1_r160,axiom,( k3_xcmplx_0(160,1) = 160 )).
fof(rqRealMult__k3_xcmplx_0__r161_r1_r161,axiom,( k3_xcmplx_0(161,1) = 161 )).
fof(rqRealMult__k3_xcmplx_0__r162_r1_r162,axiom,( k3_xcmplx_0(162,1) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r163_r2_r326,axiom,( k3_xcmplx_0(163,2) = 326 )).
fof(rqRealMult__k3_xcmplx_0__r166_r1_r166,axiom,( k3_xcmplx_0(166,1) = 166 )).
fof(rqRealMult__k3_xcmplx_0__r166_r2_r332,axiom,( k3_xcmplx_0(166,2) = 332 )).
fof(rqRealMult__k3_xcmplx_0__r16_r0_r0,axiom,( k3_xcmplx_0(16,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r16_r10_r160,axiom,( k3_xcmplx_0(16,10) = 160 )).
fof(rqRealMult__k3_xcmplx_0__r16_r13_r208,axiom,( k3_xcmplx_0(16,13) = 208 )).
fof(rqRealMult__k3_xcmplx_0__r16_r16_r256,axiom,( k3_xcmplx_0(16,16) = 256 )).
fof(rqRealMult__k3_xcmplx_0__r16_r19_r304,axiom,( k3_xcmplx_0(16,19) = 304 )).
fof(rqRealMult__k3_xcmplx_0__r16_r1_r16,axiom,( k3_xcmplx_0(16,1) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r16_r2_r32,axiom,( k3_xcmplx_0(16,2) = 32 )).
fof(rqRealMult__k3_xcmplx_0__r16_r3_r48,axiom,( k3_xcmplx_0(16,3) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r16_r48_r768,axiom,( k3_xcmplx_0(16,48) = 768 )).
fof(rqRealMult__k3_xcmplx_0__r16_r4_r64,axiom,( k3_xcmplx_0(16,4) = 64 )).
fof(rqRealMult__k3_xcmplx_0__r16_r5_r80,axiom,( k3_xcmplx_0(16,5) = 80 )).
fof(rqRealMult__k3_xcmplx_0__r16_r6_r96,axiom,( k3_xcmplx_0(16,6) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r16_r7_r112,axiom,( k3_xcmplx_0(16,7) = 112 )).
fof(rqRealMult__k3_xcmplx_0__r16_r8_r128,axiom,( k3_xcmplx_0(16,8) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r16_rm12_rm192,axiom,( k3_xcmplx_0(16,k4_xcmplx_0(12)) = k4_xcmplx_0(192) )).
fof(rqRealMult__k3_xcmplx_0__r16_rm2_rm32,axiom,( k3_xcmplx_0(16,k4_xcmplx_0(2)) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__r16_rm3_rm48,axiom,( k3_xcmplx_0(16,k4_xcmplx_0(3)) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__r16_rm6_rm96,axiom,( k3_xcmplx_0(16,k4_xcmplx_0(6)) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__r16_rm8_rm128,axiom,( k3_xcmplx_0(16,k4_xcmplx_0(8)) = k4_xcmplx_0(128) )).
fof(rqRealMult__k3_xcmplx_0__r16_rn1d16_r1,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(1,16)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r16_rn1d2_r8,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(1,2)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r16_rn1d4_r4,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(1,4)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r16_rn1d7_rn16d7,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(1,7)) = k7_xcmplx_0(16,7) )).
fof(rqRealMult__k3_xcmplx_0__r16_rn1d8_r2,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(1,8)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r16_rn1d9_rn16d9,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(1,9)) = k7_xcmplx_0(16,9) )).
fof(rqRealMult__k3_xcmplx_0__r16_rnm1d16_rm1,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r16_rnm1d4_rm4,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r16_rnm1d8_rm2,axiom,( k3_xcmplx_0(16,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r170_r1_r170,axiom,( k3_xcmplx_0(170,1) = 170 )).
fof(rqRealMult__k3_xcmplx_0__r172_r1_r172,axiom,( k3_xcmplx_0(172,1) = 172 )).
fof(rqRealMult__k3_xcmplx_0__r174_r1_r174,axiom,( k3_xcmplx_0(174,1) = 174 )).
fof(rqRealMult__k3_xcmplx_0__r178_r1_r178,axiom,( k3_xcmplx_0(178,1) = 178 )).
fof(rqRealMult__k3_xcmplx_0__r17_r18_r306,axiom,( k3_xcmplx_0(17,18) = 306 )).
fof(rqRealMult__k3_xcmplx_0__r17_r1_r17,axiom,( k3_xcmplx_0(17,1) = 17 )).
fof(rqRealMult__k3_xcmplx_0__r17_r2_r34,axiom,( k3_xcmplx_0(17,2) = 34 )).
fof(rqRealMult__k3_xcmplx_0__r17_r37_r629,axiom,( k3_xcmplx_0(17,37) = 629 )).
fof(rqRealMult__k3_xcmplx_0__r17_r3_r51,axiom,( k3_xcmplx_0(17,3) = 51 )).
fof(rqRealMult__k3_xcmplx_0__r17_r4_r68,axiom,( k3_xcmplx_0(17,4) = 68 )).
fof(rqRealMult__k3_xcmplx_0__r17_r5_r85,axiom,( k3_xcmplx_0(17,5) = 85 )).
fof(rqRealMult__k3_xcmplx_0__r17_r8_r136,axiom,( k3_xcmplx_0(17,8) = 136 )).
fof(rqRealMult__k3_xcmplx_0__r17_r9_r153,axiom,( k3_xcmplx_0(17,9) = 153 )).
fof(rqRealMult__k3_xcmplx_0__r17_rm2_rm34,axiom,( k3_xcmplx_0(17,k4_xcmplx_0(2)) = k4_xcmplx_0(34) )).
fof(rqRealMult__k3_xcmplx_0__r17_rm3_rm51,axiom,( k3_xcmplx_0(17,k4_xcmplx_0(3)) = k4_xcmplx_0(51) )).
fof(rqRealMult__k3_xcmplx_0__r17_rn1d16_rn17d16,axiom,( k3_xcmplx_0(17,k7_xcmplx_0(1,16)) = k7_xcmplx_0(17,16) )).
fof(rqRealMult__k3_xcmplx_0__r17_rn1d4_rn17d4,axiom,( k3_xcmplx_0(17,k7_xcmplx_0(1,4)) = k7_xcmplx_0(17,4) )).
fof(rqRealMult__k3_xcmplx_0__r17_rnm1d16_rnm17d16,axiom,( k3_xcmplx_0(17,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(17),16) )).
fof(rqRealMult__k3_xcmplx_0__r180_r1_r180,axiom,( k3_xcmplx_0(180,1) = 180 )).
fof(rqRealMult__k3_xcmplx_0__r185_r2_r370,axiom,( k3_xcmplx_0(185,2) = 370 )).
fof(rqRealMult__k3_xcmplx_0__r186_r1_r186,axiom,( k3_xcmplx_0(186,1) = 186 )).
fof(rqRealMult__k3_xcmplx_0__r189_r1_r189,axiom,( k3_xcmplx_0(189,1) = 189 )).
fof(rqRealMult__k3_xcmplx_0__r18_r17_r306,axiom,( k3_xcmplx_0(18,17) = 306 )).
fof(rqRealMult__k3_xcmplx_0__r18_r1_r18,axiom,( k3_xcmplx_0(18,1) = 18 )).
fof(rqRealMult__k3_xcmplx_0__r18_r2_r36,axiom,( k3_xcmplx_0(18,2) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r18_r3_r54,axiom,( k3_xcmplx_0(18,3) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r18_r4_r72,axiom,( k3_xcmplx_0(18,4) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r18_r6_r108,axiom,( k3_xcmplx_0(18,6) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r18_r7_r126,axiom,( k3_xcmplx_0(18,7) = 126 )).
fof(rqRealMult__k3_xcmplx_0__r18_r9_r162,axiom,( k3_xcmplx_0(18,9) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r18_rm2_rm36,axiom,( k3_xcmplx_0(18,k4_xcmplx_0(2)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r18_rm3_rm54,axiom,( k3_xcmplx_0(18,k4_xcmplx_0(3)) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__r18_rm4_rm72,axiom,( k3_xcmplx_0(18,k4_xcmplx_0(4)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r18_rm6_rm108,axiom,( k3_xcmplx_0(18,k4_xcmplx_0(6)) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__r18_rm9_rm162,axiom,( k3_xcmplx_0(18,k4_xcmplx_0(9)) = k4_xcmplx_0(162) )).
fof(rqRealMult__k3_xcmplx_0__r190_r1_r190,axiom,( k3_xcmplx_0(190,1) = 190 )).
fof(rqRealMult__k3_xcmplx_0__r192_r1_r192,axiom,( k3_xcmplx_0(192,1) = 192 )).
fof(rqRealMult__k3_xcmplx_0__r198_r1_r198,axiom,( k3_xcmplx_0(198,1) = 198 )).
fof(rqRealMult__k3_xcmplx_0__r19_r16_r304,axiom,( k3_xcmplx_0(19,16) = 304 )).
fof(rqRealMult__k3_xcmplx_0__r19_r1_r19,axiom,( k3_xcmplx_0(19,1) = 19 )).
fof(rqRealMult__k3_xcmplx_0__r19_r2_r38,axiom,( k3_xcmplx_0(19,2) = 38 )).
fof(rqRealMult__k3_xcmplx_0__r19_r33_r627,axiom,( k3_xcmplx_0(19,33) = 627 )).
fof(rqRealMult__k3_xcmplx_0__r19_r3_r57,axiom,( k3_xcmplx_0(19,3) = 57 )).
fof(rqRealMult__k3_xcmplx_0__r19_r4_r76,axiom,( k3_xcmplx_0(19,4) = 76 )).
fof(rqRealMult__k3_xcmplx_0__r19_r5_r95,axiom,( k3_xcmplx_0(19,5) = 95 )).
fof(rqRealMult__k3_xcmplx_0__r19_r7_r133,axiom,( k3_xcmplx_0(19,7) = 133 )).
fof(rqRealMult__k3_xcmplx_0__r19_r8_r152,axiom,( k3_xcmplx_0(19,8) = 152 )).
fof(rqRealMult__k3_xcmplx_0__r19_rm2_rm38,axiom,( k3_xcmplx_0(19,k4_xcmplx_0(2)) = k4_xcmplx_0(38) )).
fof(rqRealMult__k3_xcmplx_0__r19_rn1d18_rn19d18,axiom,( k3_xcmplx_0(19,k7_xcmplx_0(1,18)) = k7_xcmplx_0(19,18) )).
fof(rqRealMult__k3_xcmplx_0__r19_rn1d3_rn19d3,axiom,( k3_xcmplx_0(19,k7_xcmplx_0(1,3)) = k7_xcmplx_0(19,3) )).
fof(rqRealMult__k3_xcmplx_0__r19_rn7d18_rn133d18,axiom,( k3_xcmplx_0(19,k7_xcmplx_0(7,18)) = k7_xcmplx_0(133,18) )).
fof(rqRealMult__k3_xcmplx_0__r19_rnm1d18_rnm19d18,axiom,( k3_xcmplx_0(19,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(19),18) )).
fof(rqRealMult__k3_xcmplx_0__r19_rnm1d3_rnm19d3,axiom,( k3_xcmplx_0(19,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(19),3) )).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r0_cr1r0,axiom,( k3_xcmplx_0(1,k1_xcmplx_0) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r1_cr1r1,axiom,( k3_xcmplx_0(1,k2_xcmplx_0(k1_xcmplx_0,1)) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__r1_cr2r0_cr2r0,axiom,( k3_xcmplx_0(1,k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r0_crm1r0,axiom,( k3_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r1_crm1r1,axiom,( k3_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__r1_crm2r0_crm2r0,axiom,( k3_xcmplx_0(1,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r1_crn1d2r0_crn1d2r0,axiom,( k3_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r1_crn1d2rn1d2_crn1d2rn1d2,axiom,( k3_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__r1_crnm1d2r0_crnm1d2r0,axiom,( k3_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r1_crnm1d2rn1d2_crnm1d2rn1d2,axiom,( k3_xcmplx_0(1,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0,axiom,( k3_xcmplx_0(1,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r1_r100_r100,axiom,( k3_xcmplx_0(1,100) = 100 )).
fof(rqRealMult__k3_xcmplx_0__r1_r101_r101,axiom,( k3_xcmplx_0(1,101) = 101 )).
fof(rqRealMult__k3_xcmplx_0__r1_r108_r108,axiom,( k3_xcmplx_0(1,108) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10,axiom,( k3_xcmplx_0(1,10) = 10 )).
fof(rqRealMult__k3_xcmplx_0__r1_r111_r111,axiom,( k3_xcmplx_0(1,111) = 111 )).
fof(rqRealMult__k3_xcmplx_0__r1_r112_r112,axiom,( k3_xcmplx_0(1,112) = 112 )).
fof(rqRealMult__k3_xcmplx_0__r1_r116_r116,axiom,( k3_xcmplx_0(1,116) = 116 )).
fof(rqRealMult__k3_xcmplx_0__r1_r117_r117,axiom,( k3_xcmplx_0(1,117) = 117 )).
fof(rqRealMult__k3_xcmplx_0__r1_r119_r119,axiom,( k3_xcmplx_0(1,119) = 119 )).
fof(rqRealMult__k3_xcmplx_0__r1_r11_r11,axiom,( k3_xcmplx_0(1,11) = 11 )).
fof(rqRealMult__k3_xcmplx_0__r1_r120_r120,axiom,( k3_xcmplx_0(1,120) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r1_r121_r121,axiom,( k3_xcmplx_0(1,121) = 121 )).
fof(rqRealMult__k3_xcmplx_0__r1_r123_r123,axiom,( k3_xcmplx_0(1,123) = 123 )).
fof(rqRealMult__k3_xcmplx_0__r1_r126_r126,axiom,( k3_xcmplx_0(1,126) = 126 )).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12,axiom,( k3_xcmplx_0(1,12) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r1_r139_r139,axiom,( k3_xcmplx_0(1,139) = 139 )).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13,axiom,( k3_xcmplx_0(1,13) = 13 )).
fof(rqRealMult__k3_xcmplx_0__r1_r140_r140,axiom,( k3_xcmplx_0(1,140) = 140 )).
fof(rqRealMult__k3_xcmplx_0__r1_r143_r143,axiom,( k3_xcmplx_0(1,143) = 143 )).
fof(rqRealMult__k3_xcmplx_0__r1_r14_r14,axiom,( k3_xcmplx_0(1,14) = 14 )).
fof(rqRealMult__k3_xcmplx_0__r1_r159_r159,axiom,( k3_xcmplx_0(1,159) = 159 )).
fof(rqRealMult__k3_xcmplx_0__r1_r15_r15,axiom,( k3_xcmplx_0(1,15) = 15 )).
fof(rqRealMult__k3_xcmplx_0__r1_r162_r162,axiom,( k3_xcmplx_0(1,162) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r1_r164_r164,axiom,( k3_xcmplx_0(1,164) = 164 )).
fof(rqRealMult__k3_xcmplx_0__r1_r166_r166,axiom,( k3_xcmplx_0(1,166) = 166 )).
fof(rqRealMult__k3_xcmplx_0__r1_r169_r169,axiom,( k3_xcmplx_0(1,169) = 169 )).
fof(rqRealMult__k3_xcmplx_0__r1_r16_r16,axiom,( k3_xcmplx_0(1,16) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r1_r178_r178,axiom,( k3_xcmplx_0(1,178) = 178 )).
fof(rqRealMult__k3_xcmplx_0__r1_r17_r17,axiom,( k3_xcmplx_0(1,17) = 17 )).
fof(rqRealMult__k3_xcmplx_0__r1_r183_r183,axiom,( k3_xcmplx_0(1,183) = 183 )).
fof(rqRealMult__k3_xcmplx_0__r1_r185_r185,axiom,( k3_xcmplx_0(1,185) = 185 )).
fof(rqRealMult__k3_xcmplx_0__r1_r18_r18,axiom,( k3_xcmplx_0(1,18) = 18 )).
fof(rqRealMult__k3_xcmplx_0__r1_r192_r192,axiom,( k3_xcmplx_0(1,192) = 192 )).
fof(rqRealMult__k3_xcmplx_0__r1_r19_r19,axiom,( k3_xcmplx_0(1,19) = 19 )).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1,axiom,( k3_xcmplx_0(1,1) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r1_r203_r203,axiom,( k3_xcmplx_0(1,203) = 203 )).
fof(rqRealMult__k3_xcmplx_0__r1_r20_r20,axiom,( k3_xcmplx_0(1,20) = 20 )).
fof(rqRealMult__k3_xcmplx_0__r1_r211_r211,axiom,( k3_xcmplx_0(1,211) = 211 )).
fof(rqRealMult__k3_xcmplx_0__r1_r216_r216,axiom,( k3_xcmplx_0(1,216) = 216 )).
fof(rqRealMult__k3_xcmplx_0__r1_r21_r21,axiom,( k3_xcmplx_0(1,21) = 21 )).
fof(rqRealMult__k3_xcmplx_0__r1_r225_r225,axiom,( k3_xcmplx_0(1,225) = 225 )).
fof(rqRealMult__k3_xcmplx_0__r1_r22_r22,axiom,( k3_xcmplx_0(1,22) = 22 )).
fof(rqRealMult__k3_xcmplx_0__r1_r231_r231,axiom,( k3_xcmplx_0(1,231) = 231 )).
fof(rqRealMult__k3_xcmplx_0__r1_r236_r236,axiom,( k3_xcmplx_0(1,236) = 236 )).
fof(rqRealMult__k3_xcmplx_0__r1_r23_r23,axiom,( k3_xcmplx_0(1,23) = 23 )).
fof(rqRealMult__k3_xcmplx_0__r1_r241_r241,axiom,( k3_xcmplx_0(1,241) = 241 )).
fof(rqRealMult__k3_xcmplx_0__r1_r242_r242,axiom,( k3_xcmplx_0(1,242) = 242 )).
fof(rqRealMult__k3_xcmplx_0__r1_r246_r246,axiom,( k3_xcmplx_0(1,246) = 246 )).
fof(rqRealMult__k3_xcmplx_0__r1_r24_r24,axiom,( k3_xcmplx_0(1,24) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r1_r252_r252,axiom,( k3_xcmplx_0(1,252) = 252 )).
fof(rqRealMult__k3_xcmplx_0__r1_r255_r255,axiom,( k3_xcmplx_0(1,255) = 255 )).
fof(rqRealMult__k3_xcmplx_0__r1_r256_r256,axiom,( k3_xcmplx_0(1,256) = 256 )).
fof(rqRealMult__k3_xcmplx_0__r1_r257_r257,axiom,( k3_xcmplx_0(1,257) = 257 )).
fof(rqRealMult__k3_xcmplx_0__r1_r25_r25,axiom,( k3_xcmplx_0(1,25) = 25 )).
fof(rqRealMult__k3_xcmplx_0__r1_r263_r263,axiom,( k3_xcmplx_0(1,263) = 263 )).
fof(rqRealMult__k3_xcmplx_0__r1_r26_r26,axiom,( k3_xcmplx_0(1,26) = 26 )).
fof(rqRealMult__k3_xcmplx_0__r1_r27_r27,axiom,( k3_xcmplx_0(1,27) = 27 )).
fof(rqRealMult__k3_xcmplx_0__r1_r28_r28,axiom,( k3_xcmplx_0(1,28) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r1_r29_r29,axiom,( k3_xcmplx_0(1,29) = 29 )).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2,axiom,( k3_xcmplx_0(1,2) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r1_r30_r30,axiom,( k3_xcmplx_0(1,30) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r1_r315_r315,axiom,( k3_xcmplx_0(1,315) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r1_r31_r31,axiom,( k3_xcmplx_0(1,31) = 31 )).
fof(rqRealMult__k3_xcmplx_0__r1_r32_r32,axiom,( k3_xcmplx_0(1,32) = 32 )).
fof(rqRealMult__k3_xcmplx_0__r1_r343_r343,axiom,( k3_xcmplx_0(1,343) = 343 )).
fof(rqRealMult__k3_xcmplx_0__r1_r344_r344,axiom,( k3_xcmplx_0(1,344) = 344 )).
fof(rqRealMult__k3_xcmplx_0__r1_r345_r345,axiom,( k3_xcmplx_0(1,345) = 345 )).
fof(rqRealMult__k3_xcmplx_0__r1_r346_r346,axiom,( k3_xcmplx_0(1,346) = 346 )).
fof(rqRealMult__k3_xcmplx_0__r1_r347_r347,axiom,( k3_xcmplx_0(1,347) = 347 )).
fof(rqRealMult__k3_xcmplx_0__r1_r348_r348,axiom,( k3_xcmplx_0(1,348) = 348 )).
fof(rqRealMult__k3_xcmplx_0__r1_r349_r349,axiom,( k3_xcmplx_0(1,349) = 349 )).
fof(rqRealMult__k3_xcmplx_0__r1_r34_r34,axiom,( k3_xcmplx_0(1,34) = 34 )).
fof(rqRealMult__k3_xcmplx_0__r1_r350_r350,axiom,( k3_xcmplx_0(1,350) = 350 )).
fof(rqRealMult__k3_xcmplx_0__r1_r351_r351,axiom,( k3_xcmplx_0(1,351) = 351 )).
fof(rqRealMult__k3_xcmplx_0__r1_r352_r352,axiom,( k3_xcmplx_0(1,352) = 352 )).
fof(rqRealMult__k3_xcmplx_0__r1_r353_r353,axiom,( k3_xcmplx_0(1,353) = 353 )).
fof(rqRealMult__k3_xcmplx_0__r1_r354_r354,axiom,( k3_xcmplx_0(1,354) = 354 )).
fof(rqRealMult__k3_xcmplx_0__r1_r355_r355,axiom,( k3_xcmplx_0(1,355) = 355 )).
fof(rqRealMult__k3_xcmplx_0__r1_r356_r356,axiom,( k3_xcmplx_0(1,356) = 356 )).
fof(rqRealMult__k3_xcmplx_0__r1_r357_r357,axiom,( k3_xcmplx_0(1,357) = 357 )).
fof(rqRealMult__k3_xcmplx_0__r1_r358_r358,axiom,( k3_xcmplx_0(1,358) = 358 )).
fof(rqRealMult__k3_xcmplx_0__r1_r359_r359,axiom,( k3_xcmplx_0(1,359) = 359 )).
fof(rqRealMult__k3_xcmplx_0__r1_r35_r35,axiom,( k3_xcmplx_0(1,35) = 35 )).
fof(rqRealMult__k3_xcmplx_0__r1_r360_r360,axiom,( k3_xcmplx_0(1,360) = 360 )).
fof(rqRealMult__k3_xcmplx_0__r1_r361_r361,axiom,( k3_xcmplx_0(1,361) = 361 )).
fof(rqRealMult__k3_xcmplx_0__r1_r362_r362,axiom,( k3_xcmplx_0(1,362) = 362 )).
fof(rqRealMult__k3_xcmplx_0__r1_r363_r363,axiom,( k3_xcmplx_0(1,363) = 363 )).
fof(rqRealMult__k3_xcmplx_0__r1_r364_r364,axiom,( k3_xcmplx_0(1,364) = 364 )).
fof(rqRealMult__k3_xcmplx_0__r1_r365_r365,axiom,( k3_xcmplx_0(1,365) = 365 )).
fof(rqRealMult__k3_xcmplx_0__r1_r36_r36,axiom,( k3_xcmplx_0(1,36) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r1_r37_r37,axiom,( k3_xcmplx_0(1,37) = 37 )).
fof(rqRealMult__k3_xcmplx_0__r1_r390_r390,axiom,( k3_xcmplx_0(1,390) = 390 )).
fof(rqRealMult__k3_xcmplx_0__r1_r39_r39,axiom,( k3_xcmplx_0(1,39) = 39 )).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3,axiom,( k3_xcmplx_0(1,3) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r1_r400_r400,axiom,( k3_xcmplx_0(1,400) = 400 )).
fof(rqRealMult__k3_xcmplx_0__r1_r40_r40,axiom,( k3_xcmplx_0(1,40) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r1_r414_r414,axiom,( k3_xcmplx_0(1,414) = 414 )).
fof(rqRealMult__k3_xcmplx_0__r1_r419_r419,axiom,( k3_xcmplx_0(1,419) = 419 )).
fof(rqRealMult__k3_xcmplx_0__r1_r41_r41,axiom,( k3_xcmplx_0(1,41) = 41 )).
fof(rqRealMult__k3_xcmplx_0__r1_r42_r42,axiom,( k3_xcmplx_0(1,42) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r1_r430_r430,axiom,( k3_xcmplx_0(1,430) = 430 )).
fof(rqRealMult__k3_xcmplx_0__r1_r446_r446,axiom,( k3_xcmplx_0(1,446) = 446 )).
fof(rqRealMult__k3_xcmplx_0__r1_r449_r449,axiom,( k3_xcmplx_0(1,449) = 449 )).
fof(rqRealMult__k3_xcmplx_0__r1_r44_r44,axiom,( k3_xcmplx_0(1,44) = 44 )).
fof(rqRealMult__k3_xcmplx_0__r1_r453_r453,axiom,( k3_xcmplx_0(1,453) = 453 )).
fof(rqRealMult__k3_xcmplx_0__r1_r458_r458,axiom,( k3_xcmplx_0(1,458) = 458 )).
fof(rqRealMult__k3_xcmplx_0__r1_r45_r45,axiom,( k3_xcmplx_0(1,45) = 45 )).
fof(rqRealMult__k3_xcmplx_0__r1_r487_r487,axiom,( k3_xcmplx_0(1,487) = 487 )).
fof(rqRealMult__k3_xcmplx_0__r1_r48_r48,axiom,( k3_xcmplx_0(1,48) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r1_r49_r49,axiom,( k3_xcmplx_0(1,49) = 49 )).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4,axiom,( k3_xcmplx_0(1,4) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r1_r52_r52,axiom,( k3_xcmplx_0(1,52) = 52 )).
fof(rqRealMult__k3_xcmplx_0__r1_r54_r54,axiom,( k3_xcmplx_0(1,54) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r1_r56_r56,axiom,( k3_xcmplx_0(1,56) = 56 )).
fof(rqRealMult__k3_xcmplx_0__r1_r57_r57,axiom,( k3_xcmplx_0(1,57) = 57 )).
fof(rqRealMult__k3_xcmplx_0__r1_r59_r59,axiom,( k3_xcmplx_0(1,59) = 59 )).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5,axiom,( k3_xcmplx_0(1,5) = 5 )).
fof(rqRealMult__k3_xcmplx_0__r1_r619_r619,axiom,( k3_xcmplx_0(1,619) = 619 )).
fof(rqRealMult__k3_xcmplx_0__r1_r61_r61,axiom,( k3_xcmplx_0(1,61) = 61 )).
fof(rqRealMult__k3_xcmplx_0__r1_r625_r625,axiom,( k3_xcmplx_0(1,625) = 625 )).
fof(rqRealMult__k3_xcmplx_0__r1_r62_r62,axiom,( k3_xcmplx_0(1,62) = 62 )).
fof(rqRealMult__k3_xcmplx_0__r1_r641_r641,axiom,( k3_xcmplx_0(1,641) = 641 )).
fof(rqRealMult__k3_xcmplx_0__r1_r64_r64,axiom,( k3_xcmplx_0(1,64) = 64 )).
fof(rqRealMult__k3_xcmplx_0__r1_r656_r656,axiom,( k3_xcmplx_0(1,656) = 656 )).
fof(rqRealMult__k3_xcmplx_0__r1_r672_r672,axiom,( k3_xcmplx_0(1,672) = 672 )).
fof(rqRealMult__k3_xcmplx_0__r1_r673_r673,axiom,( k3_xcmplx_0(1,673) = 673 )).
fof(rqRealMult__k3_xcmplx_0__r1_r68_r68,axiom,( k3_xcmplx_0(1,68) = 68 )).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6,axiom,( k3_xcmplx_0(1,6) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r1_r70_r70,axiom,( k3_xcmplx_0(1,70) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r1_r712_r712,axiom,( k3_xcmplx_0(1,712) = 712 )).
fof(rqRealMult__k3_xcmplx_0__r1_r71_r71,axiom,( k3_xcmplx_0(1,71) = 71 )).
fof(rqRealMult__k3_xcmplx_0__r1_r72_r72,axiom,( k3_xcmplx_0(1,72) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r1_r732_r732,axiom,( k3_xcmplx_0(1,732) = 732 )).
fof(rqRealMult__k3_xcmplx_0__r1_r744_r744,axiom,( k3_xcmplx_0(1,744) = 744 )).
fof(rqRealMult__k3_xcmplx_0__r1_r765_r765,axiom,( k3_xcmplx_0(1,765) = 765 )).
fof(rqRealMult__k3_xcmplx_0__r1_r79_r79,axiom,( k3_xcmplx_0(1,79) = 79 )).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7,axiom,( k3_xcmplx_0(1,7) = 7 )).
fof(rqRealMult__k3_xcmplx_0__r1_r81_r81,axiom,( k3_xcmplx_0(1,81) = 81 )).
fof(rqRealMult__k3_xcmplx_0__r1_r83_r83,axiom,( k3_xcmplx_0(1,83) = 83 )).
fof(rqRealMult__k3_xcmplx_0__r1_r847_r847,axiom,( k3_xcmplx_0(1,847) = 847 )).
fof(rqRealMult__k3_xcmplx_0__r1_r84_r84,axiom,( k3_xcmplx_0(1,84) = 84 )).
fof(rqRealMult__k3_xcmplx_0__r1_r869_r869,axiom,( k3_xcmplx_0(1,869) = 869 )).
fof(rqRealMult__k3_xcmplx_0__r1_r89_r89,axiom,( k3_xcmplx_0(1,89) = 89 )).
fof(rqRealMult__k3_xcmplx_0__r1_r8_r8,axiom,( k3_xcmplx_0(1,8) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r1_r90_r90,axiom,( k3_xcmplx_0(1,90) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r1_r91_r91,axiom,( k3_xcmplx_0(1,91) = 91 )).
fof(rqRealMult__k3_xcmplx_0__r1_r96_r96,axiom,( k3_xcmplx_0(1,96) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r1_r988_r988,axiom,( k3_xcmplx_0(1,988) = 988 )).
fof(rqRealMult__k3_xcmplx_0__r1_r999_r999,axiom,( k3_xcmplx_0(1,999) = 999 )).
fof(rqRealMult__k3_xcmplx_0__r1_r9_r9,axiom,( k3_xcmplx_0(1,9) = 9 )).
fof(rqRealMult__k3_xcmplx_0__r1_rm10_rm10,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(10)) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm11_rm11,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(11)) = k4_xcmplx_0(11) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm120_rm120,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(120)) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(12)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm13_rm13,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(13)) = k4_xcmplx_0(13) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm140_rm140,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(140)) = k4_xcmplx_0(140) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm14_rm14,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(14)) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm15_rm15,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(15)) = k4_xcmplx_0(15) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm166_rm166,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(166)) = k4_xcmplx_0(166) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm16_rm16,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(16)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm18_rm18,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(18)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm20_rm20,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(20)) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm212_rm212,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(212)) = k4_xcmplx_0(212) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm28_rm28,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(28)) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(2)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm30_rm30,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(30)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm36_rm36,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(36)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm3_rm3,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(3)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm40_rm40,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(40)) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm46_rm46,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(46)) = k4_xcmplx_0(46) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm48_rm48,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(48)) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm4_rm4,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(4)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm52_rm52,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(52)) = k4_xcmplx_0(52) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm56_rm56,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(56)) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm5_rm5,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(5)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm6_rm6,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(6)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm70_rm70,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(70)) = k4_xcmplx_0(70) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm76_rm76,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(76)) = k4_xcmplx_0(76) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm7_rm7,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(7)) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm80_rm80,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(80)) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm84_rm84,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(84)) = k4_xcmplx_0(84) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm8_rm8,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(8)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm90_rm90,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(90)) = k4_xcmplx_0(90) )).
fof(rqRealMult__k3_xcmplx_0__r1_rm9_rm9,axiom,( k3_xcmplx_0(1,k4_xcmplx_0(9)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d12_rn1d12,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,12)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d15_rn1d15,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,15)) = k7_xcmplx_0(1,15) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d168_rn1d168,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,168)) = k7_xcmplx_0(1,168) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d16_rn1d16,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d18_rn1d18,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,18)) = k7_xcmplx_0(1,18) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d24_rn1d24,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,24) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d256_rn1d256,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,256)) = k7_xcmplx_0(1,256) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d27_rn1d27,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,27)) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d28_rn1d28,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,28)) = k7_xcmplx_0(1,28) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d32_rn1d32,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,32)) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d54_rn1d54,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,54)) = k7_xcmplx_0(1,54) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d5_rn1d5,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,5)) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d60_rn1d60,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,60)) = k7_xcmplx_0(1,60) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d64_rn1d64,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,64)) = k7_xcmplx_0(1,64) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d6_rn1d6,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d8_rn1d8,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d9_rn1d9,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn2d9_rn2d9,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(2,9)) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d16_rn3d16,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(3,16)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d5_rn3d5,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(3,5)) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn5d6_rn5d6,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(5,6)) = k7_xcmplx_0(5,6) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn729d343_rn729d343,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(729,343)) = k7_xcmplx_0(729,343) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn7d6_rn7d6,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(7,6)) = k7_xcmplx_0(7,6) )).
fof(rqRealMult__k3_xcmplx_0__r1_rn7d9_rn7d9,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(7,9)) = k7_xcmplx_0(7,9) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d16_rnm1d16,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d27_rnm1d27,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d32_rnm1d32,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d8_rnm1d8,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d9_rnm1d9,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm2d27_rnm2d27,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2,axiom,( k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__r200_r1_r200,axiom,( k3_xcmplx_0(200,1) = 200 )).
fof(rqRealMult__k3_xcmplx_0__r202_r1_r202,axiom,( k3_xcmplx_0(202,1) = 202 )).
fof(rqRealMult__k3_xcmplx_0__r20_r10_r200,axiom,( k3_xcmplx_0(20,10) = 200 )).
fof(rqRealMult__k3_xcmplx_0__r20_r1_r20,axiom,( k3_xcmplx_0(20,1) = 20 )).
fof(rqRealMult__k3_xcmplx_0__r20_r20_r400,axiom,( k3_xcmplx_0(20,20) = 400 )).
fof(rqRealMult__k3_xcmplx_0__r20_r2_r40,axiom,( k3_xcmplx_0(20,2) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r20_r3_r60,axiom,( k3_xcmplx_0(20,3) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r20_r5_r100,axiom,( k3_xcmplx_0(20,5) = 100 )).
fof(rqRealMult__k3_xcmplx_0__r20_rm2_rm40,axiom,( k3_xcmplx_0(20,k4_xcmplx_0(2)) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__r20_rm3_rm60,axiom,( k3_xcmplx_0(20,k4_xcmplx_0(3)) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__r20_rn1d16_rn5d4,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(1,16)) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__r20_rn1d4_r5,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(1,4)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__r20_rn1d5_r4,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(1,5)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r20_rn1d9_rn20d9,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(1,9)) = k7_xcmplx_0(20,9) )).
fof(rqRealMult__k3_xcmplx_0__r20_rn5d2_r50,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(5,2)) = 50 )).
fof(rqRealMult__k3_xcmplx_0__r20_rnm1d16_rnm5d4,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__r20_rnm1d2_rm10,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__r20_rnm1d5_rm4,axiom,( k3_xcmplx_0(20,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r210_r1_r210,axiom,( k3_xcmplx_0(210,1) = 210 )).
fof(rqRealMult__k3_xcmplx_0__r210_r3_r630,axiom,( k3_xcmplx_0(210,3) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r212_r1_r212,axiom,( k3_xcmplx_0(212,1) = 212 )).
fof(rqRealMult__k3_xcmplx_0__r216_r1_r216,axiom,( k3_xcmplx_0(216,1) = 216 )).
fof(rqRealMult__k3_xcmplx_0__r216_rn1d4_r54,axiom,( k3_xcmplx_0(216,k7_xcmplx_0(1,4)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r218_r1_r218,axiom,( k3_xcmplx_0(218,1) = 218 )).
fof(rqRealMult__k3_xcmplx_0__r21_r1_r21,axiom,( k3_xcmplx_0(21,1) = 21 )).
fof(rqRealMult__k3_xcmplx_0__r21_r2_r42,axiom,( k3_xcmplx_0(21,2) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r21_r4_r84,axiom,( k3_xcmplx_0(21,4) = 84 )).
fof(rqRealMult__k3_xcmplx_0__r21_r6_r126,axiom,( k3_xcmplx_0(21,6) = 126 )).
fof(rqRealMult__k3_xcmplx_0__r21_rm2_rm42,axiom,( k3_xcmplx_0(21,k4_xcmplx_0(2)) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__r21_rn1d2_rn21d2,axiom,( k3_xcmplx_0(21,k7_xcmplx_0(1,2)) = k7_xcmplx_0(21,2) )).
fof(rqRealMult__k3_xcmplx_0__r21_rn1d4_rn21d4,axiom,( k3_xcmplx_0(21,k7_xcmplx_0(1,4)) = k7_xcmplx_0(21,4) )).
fof(rqRealMult__k3_xcmplx_0__r21_rnm1d16_rnm21d16,axiom,( k3_xcmplx_0(21,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(21),16) )).
fof(rqRealMult__k3_xcmplx_0__r220_r1_r220,axiom,( k3_xcmplx_0(220,1) = 220 )).
fof(rqRealMult__k3_xcmplx_0__r228_r1_r228,axiom,( k3_xcmplx_0(228,1) = 228 )).
fof(rqRealMult__k3_xcmplx_0__r22_r10_r220,axiom,( k3_xcmplx_0(22,10) = 220 )).
fof(rqRealMult__k3_xcmplx_0__r22_r1_r22,axiom,( k3_xcmplx_0(22,1) = 22 )).
fof(rqRealMult__k3_xcmplx_0__r22_r3_r66,axiom,( k3_xcmplx_0(22,3) = 66 )).
fof(rqRealMult__k3_xcmplx_0__r22_rm2_rm44,axiom,( k3_xcmplx_0(22,k4_xcmplx_0(2)) = k4_xcmplx_0(44) )).
fof(rqRealMult__k3_xcmplx_0__r22_rn1d24_rn11d12,axiom,( k3_xcmplx_0(22,k7_xcmplx_0(1,24)) = k7_xcmplx_0(11,12) )).
fof(rqRealMult__k3_xcmplx_0__r22_rn1d6_rn11d3,axiom,( k3_xcmplx_0(22,k7_xcmplx_0(1,6)) = k7_xcmplx_0(11,3) )).
fof(rqRealMult__k3_xcmplx_0__r22_rn2d3_rn44d3,axiom,( k3_xcmplx_0(22,k7_xcmplx_0(2,3)) = k7_xcmplx_0(44,3) )).
fof(rqRealMult__k3_xcmplx_0__r22_rnm1d24_rnm11d12,axiom,( k3_xcmplx_0(22,k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(11),12) )).
fof(rqRealMult__k3_xcmplx_0__r22_rnm1d6_rnm11d3,axiom,( k3_xcmplx_0(22,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealMult__k3_xcmplx_0__r22_rnm2d3_rnm44d3,axiom,( k3_xcmplx_0(22,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(44),3) )).
fof(rqRealMult__k3_xcmplx_0__r22_rnm4d3_rnm88d3,axiom,( k3_xcmplx_0(22,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(88),3) )).
fof(rqRealMult__k3_xcmplx_0__r232_r1_r232,axiom,( k3_xcmplx_0(232,1) = 232 )).
fof(rqRealMult__k3_xcmplx_0__r236_r1_r236,axiom,( k3_xcmplx_0(236,1) = 236 )).
fof(rqRealMult__k3_xcmplx_0__r23_r13_r299,axiom,( k3_xcmplx_0(23,13) = 299 )).
fof(rqRealMult__k3_xcmplx_0__r23_r1_r23,axiom,( k3_xcmplx_0(23,1) = 23 )).
fof(rqRealMult__k3_xcmplx_0__r23_r27_r621,axiom,( k3_xcmplx_0(23,27) = 621 )).
fof(rqRealMult__k3_xcmplx_0__r23_r2_r46,axiom,( k3_xcmplx_0(23,2) = 46 )).
fof(rqRealMult__k3_xcmplx_0__r23_r3_r69,axiom,( k3_xcmplx_0(23,3) = 69 )).
fof(rqRealMult__k3_xcmplx_0__r23_r4_r92,axiom,( k3_xcmplx_0(23,4) = 92 )).
fof(rqRealMult__k3_xcmplx_0__r23_r6_r138,axiom,( k3_xcmplx_0(23,6) = 138 )).
fof(rqRealMult__k3_xcmplx_0__r23_r7_r161,axiom,( k3_xcmplx_0(23,7) = 161 )).
fof(rqRealMult__k3_xcmplx_0__r23_rm3_rm69,axiom,( k3_xcmplx_0(23,k4_xcmplx_0(3)) = k4_xcmplx_0(69) )).
fof(rqRealMult__k3_xcmplx_0__r23_rn1d24_rn23d24,axiom,( k3_xcmplx_0(23,k7_xcmplx_0(1,24)) = k7_xcmplx_0(23,24) )).
fof(rqRealMult__k3_xcmplx_0__r23_rn1d6_rn23d6,axiom,( k3_xcmplx_0(23,k7_xcmplx_0(1,6)) = k7_xcmplx_0(23,6) )).
fof(rqRealMult__k3_xcmplx_0__r23_rn2d3_rn46d3,axiom,( k3_xcmplx_0(23,k7_xcmplx_0(2,3)) = k7_xcmplx_0(46,3) )).
fof(rqRealMult__k3_xcmplx_0__r23_rnm1d24_rnm23d24,axiom,( k3_xcmplx_0(23,k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(23),24) )).
fof(rqRealMult__k3_xcmplx_0__r23_rnm1d6_rnm23d6,axiom,( k3_xcmplx_0(23,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(23),6) )).
fof(rqRealMult__k3_xcmplx_0__r23_rnm2d3_rnm46d3,axiom,( k3_xcmplx_0(23,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(46),3) )).
fof(rqRealMult__k3_xcmplx_0__r23_rnm4d3_rnm92d3,axiom,( k3_xcmplx_0(23,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(92),3) )).
fof(rqRealMult__k3_xcmplx_0__r240_r1_r240,axiom,( k3_xcmplx_0(240,1) = 240 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn119d240_r119,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(119,240)) = 119 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn1d10_r24,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(1,10)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn1d240_r1,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(1,240)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn1d2_r120,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(1,2)) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn1d60_r4,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(1,60)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn1d80_r3,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(1,80)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn1d8_r30,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(1,8)) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r240_rn59d60_r236,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(59,60)) = 236 )).
fof(rqRealMult__k3_xcmplx_0__r240_rnm1d10_rm24,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r240_rnm1d40_rm6,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__r240_rnm1d80_rm3,axiom,( k3_xcmplx_0(240,k7_xcmplx_0(k4_xcmplx_0(1),80)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r241_r1_r241,axiom,( k3_xcmplx_0(241,1) = 241 )).
fof(rqRealMult__k3_xcmplx_0__r241_rn1d10_rn241d10,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(1,10)) = k7_xcmplx_0(241,10) )).
fof(rqRealMult__k3_xcmplx_0__r241_rn1d240_rn241d240,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(1,240)) = k7_xcmplx_0(241,240) )).
fof(rqRealMult__k3_xcmplx_0__r241_rn1d2_rn241d2,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(1,2)) = k7_xcmplx_0(241,2) )).
fof(rqRealMult__k3_xcmplx_0__r241_rn1d60_rn241d60,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(1,60)) = k7_xcmplx_0(241,60) )).
fof(rqRealMult__k3_xcmplx_0__r241_rn1d80_rn241d80,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(1,80)) = k7_xcmplx_0(241,80) )).
fof(rqRealMult__k3_xcmplx_0__r241_rn1d8_rn241d8,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(1,8)) = k7_xcmplx_0(241,8) )).
fof(rqRealMult__k3_xcmplx_0__r241_rnm1d10_rnm241d10,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(241),10) )).
fof(rqRealMult__k3_xcmplx_0__r241_rnm1d40_rnm241d40,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(k4_xcmplx_0(241),40) )).
fof(rqRealMult__k3_xcmplx_0__r241_rnm1d80_rnm241d80,axiom,( k3_xcmplx_0(241,k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(241),80) )).
fof(rqRealMult__k3_xcmplx_0__r242_r1_r242,axiom,( k3_xcmplx_0(242,1) = 242 )).
fof(rqRealMult__k3_xcmplx_0__r242_rn1d10_rn121d5,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(1,10)) = k7_xcmplx_0(121,5) )).
fof(rqRealMult__k3_xcmplx_0__r242_rn1d240_rn121d120,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(1,240)) = k7_xcmplx_0(121,120) )).
fof(rqRealMult__k3_xcmplx_0__r242_rn1d2_r121,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(1,2)) = 121 )).
fof(rqRealMult__k3_xcmplx_0__r242_rn1d60_rn121d30,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(1,60)) = k7_xcmplx_0(121,30) )).
fof(rqRealMult__k3_xcmplx_0__r242_rn1d80_rn121d40,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(1,80)) = k7_xcmplx_0(121,40) )).
fof(rqRealMult__k3_xcmplx_0__r242_rn1d8_rn121d4,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(1,8)) = k7_xcmplx_0(121,4) )).
fof(rqRealMult__k3_xcmplx_0__r242_rnm1d10_rnm121d5,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(121),5) )).
fof(rqRealMult__k3_xcmplx_0__r242_rnm1d40_rnm121d20,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(k4_xcmplx_0(121),20) )).
fof(rqRealMult__k3_xcmplx_0__r242_rnm1d80_rnm121d40,axiom,( k3_xcmplx_0(242,k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(121),40) )).
fof(rqRealMult__k3_xcmplx_0__r243_r1_r243,axiom,( k3_xcmplx_0(243,1) = 243 )).
fof(rqRealMult__k3_xcmplx_0__r243_rn1d10_rn243d10,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(1,10)) = k7_xcmplx_0(243,10) )).
fof(rqRealMult__k3_xcmplx_0__r243_rn1d240_rn81d80,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(1,240)) = k7_xcmplx_0(81,80) )).
fof(rqRealMult__k3_xcmplx_0__r243_rn1d2_rn243d2,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(1,2)) = k7_xcmplx_0(243,2) )).
fof(rqRealMult__k3_xcmplx_0__r243_rn1d60_rn81d20,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(1,60)) = k7_xcmplx_0(81,20) )).
fof(rqRealMult__k3_xcmplx_0__r243_rn1d80_rn243d80,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(1,80)) = k7_xcmplx_0(243,80) )).
fof(rqRealMult__k3_xcmplx_0__r243_rn1d8_rn243d8,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(1,8)) = k7_xcmplx_0(243,8) )).
fof(rqRealMult__k3_xcmplx_0__r243_rnm1d10_rnm243d10,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(243),10) )).
fof(rqRealMult__k3_xcmplx_0__r243_rnm1d40_rnm243d40,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(k4_xcmplx_0(243),40) )).
fof(rqRealMult__k3_xcmplx_0__r243_rnm1d80_rnm243d80,axiom,( k3_xcmplx_0(243,k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(243),80) )).
fof(rqRealMult__k3_xcmplx_0__r246_r1_r246,axiom,( k3_xcmplx_0(246,1) = 246 )).
fof(rqRealMult__k3_xcmplx_0__r248_r1_r248,axiom,( k3_xcmplx_0(248,1) = 248 )).
fof(rqRealMult__k3_xcmplx_0__r24_r10_r240,axiom,( k3_xcmplx_0(24,10) = 240 )).
fof(rqRealMult__k3_xcmplx_0__r24_r13_r312,axiom,( k3_xcmplx_0(24,13) = 312 )).
fof(rqRealMult__k3_xcmplx_0__r24_r1_r24,axiom,( k3_xcmplx_0(24,1) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r24_r2_r48,axiom,( k3_xcmplx_0(24,2) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r24_r3_r72,axiom,( k3_xcmplx_0(24,3) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r24_r4_r96,axiom,( k3_xcmplx_0(24,4) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r24_r5_r120,axiom,( k3_xcmplx_0(24,5) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r24_r6_r144,axiom,( k3_xcmplx_0(24,6) = 144 )).
fof(rqRealMult__k3_xcmplx_0__r24_r7_r168,axiom,( k3_xcmplx_0(24,7) = 168 )).
fof(rqRealMult__k3_xcmplx_0__r24_rm2_rm48,axiom,( k3_xcmplx_0(24,k4_xcmplx_0(2)) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__r24_rm3_rm72,axiom,( k3_xcmplx_0(24,k4_xcmplx_0(3)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r24_rm4_rm96,axiom,( k3_xcmplx_0(24,k4_xcmplx_0(4)) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__r24_rn1d24_r1,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(1,24)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r24_rn1d2_r12,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(1,2)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r24_rn1d6_r4,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(1,6)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r24_rn1d8_r3,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(1,8)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r24_rn2d3_r16,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(2,3)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r24_rnm1d24_rm1,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(1),24)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r24_rnm1d25_rnm24d25,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(k4_xcmplx_0(24),25) )).
fof(rqRealMult__k3_xcmplx_0__r24_rnm1d2_rm12,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r24_rnm1d6_rm4,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r24_rnm2d3_rm16,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__r24_rnm4d3_rm32,axiom,( k3_xcmplx_0(24,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__r252_r1_r252,axiom,( k3_xcmplx_0(252,1) = 252 )).
fof(rqRealMult__k3_xcmplx_0__r255_r1_r255,axiom,( k3_xcmplx_0(255,1) = 255 )).
fof(rqRealMult__k3_xcmplx_0__r255_r2_r510,axiom,( k3_xcmplx_0(255,2) = 510 )).
fof(rqRealMult__k3_xcmplx_0__r255_rn1d16_rn255d16,axiom,( k3_xcmplx_0(255,k7_xcmplx_0(1,16)) = k7_xcmplx_0(255,16) )).
fof(rqRealMult__k3_xcmplx_0__r255_rnm1d4_rnm255d4,axiom,( k3_xcmplx_0(255,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(255),4) )).
fof(rqRealMult__k3_xcmplx_0__r255_rnm3d256_rnm765d256,axiom,( k3_xcmplx_0(255,k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(k4_xcmplx_0(765),256) )).
fof(rqRealMult__k3_xcmplx_0__r256_r0_r0,axiom,( k3_xcmplx_0(256,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r256_r1_r256,axiom,( k3_xcmplx_0(256,1) = 256 )).
fof(rqRealMult__k3_xcmplx_0__r256_r2_r512,axiom,( k3_xcmplx_0(256,2) = 512 )).
fof(rqRealMult__k3_xcmplx_0__r256_rn1d16_r16,axiom,( k3_xcmplx_0(256,k7_xcmplx_0(1,16)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r256_rn1d2_r128,axiom,( k3_xcmplx_0(256,k7_xcmplx_0(1,2)) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r256_rnm1d4_rm64,axiom,( k3_xcmplx_0(256,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(64) )).
fof(rqRealMult__k3_xcmplx_0__r256_rnm3d256_rm3,axiom,( k3_xcmplx_0(256,k7_xcmplx_0(k4_xcmplx_0(3),256)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r257_r0_r0,axiom,( k3_xcmplx_0(257,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r257_r1_r257,axiom,( k3_xcmplx_0(257,1) = 257 )).
fof(rqRealMult__k3_xcmplx_0__r258_r1_r258,axiom,( k3_xcmplx_0(258,1) = 258 )).
fof(rqRealMult__k3_xcmplx_0__r25_r10_r250,axiom,( k3_xcmplx_0(25,10) = 250 )).
fof(rqRealMult__k3_xcmplx_0__r25_r1_r25,axiom,( k3_xcmplx_0(25,1) = 25 )).
fof(rqRealMult__k3_xcmplx_0__r25_r25_r625,axiom,( k3_xcmplx_0(25,25) = 625 )).
fof(rqRealMult__k3_xcmplx_0__r25_r3_r75,axiom,( k3_xcmplx_0(25,3) = 75 )).
fof(rqRealMult__k3_xcmplx_0__r25_r5_r125,axiom,( k3_xcmplx_0(25,5) = 125 )).
fof(rqRealMult__k3_xcmplx_0__r25_r9_r225,axiom,( k3_xcmplx_0(25,9) = 225 )).
fof(rqRealMult__k3_xcmplx_0__r25_rm3_rm75,axiom,( k3_xcmplx_0(25,k4_xcmplx_0(3)) = k4_xcmplx_0(75) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d16_rn25d16,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,16)) = k7_xcmplx_0(25,16) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d18_rn25d18,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,18)) = k7_xcmplx_0(25,18) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d24_rn25d24,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,24)) = k7_xcmplx_0(25,24) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d36_rn25d36,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,36)) = k7_xcmplx_0(25,36) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d3_rn25d3,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,3)) = k7_xcmplx_0(25,3) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d4_rn25d4,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,4)) = k7_xcmplx_0(25,4) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d5_r5,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,5)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__r25_rn1d6_rn25d6,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(1,6)) = k7_xcmplx_0(25,6) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn2d3_rn50d3,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(2,3)) = k7_xcmplx_0(50,3) )).
fof(rqRealMult__k3_xcmplx_0__r25_rn7d18_rn175d18,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(7,18)) = k7_xcmplx_0(175,18) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm1d16_rnm25d16,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(25),16) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm1d18_rnm25d18,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(25),18) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm1d24_rnm25d24,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(25),24) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm1d25_rm1,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(1),25)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm1d3_rnm25d3,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(25),3) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm1d6_rnm25d6,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(25),6) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm2d3_rnm50d3,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(50),3) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm4d3_rnm100d3,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(100),3) )).
fof(rqRealMult__k3_xcmplx_0__r25_rnm641d25_rm641,axiom,( k3_xcmplx_0(25,k7_xcmplx_0(k4_xcmplx_0(641),25)) = k4_xcmplx_0(641) )).
fof(rqRealMult__k3_xcmplx_0__r260_r1_r260,axiom,( k3_xcmplx_0(260,1) = 260 )).
fof(rqRealMult__k3_xcmplx_0__r266_r1_r266,axiom,( k3_xcmplx_0(266,1) = 266 )).
fof(rqRealMult__k3_xcmplx_0__r26_crm2r0_crm52r0,axiom,( k3_xcmplx_0(26,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(52),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r26_r1_r26,axiom,( k3_xcmplx_0(26,1) = 26 )).
fof(rqRealMult__k3_xcmplx_0__r26_r2_r52,axiom,( k3_xcmplx_0(26,2) = 52 )).
fof(rqRealMult__k3_xcmplx_0__r26_r3_r78,axiom,( k3_xcmplx_0(26,3) = 78 )).
fof(rqRealMult__k3_xcmplx_0__r26_r6_r156,axiom,( k3_xcmplx_0(26,6) = 156 )).
fof(rqRealMult__k3_xcmplx_0__r26_rm2_rm52,axiom,( k3_xcmplx_0(26,k4_xcmplx_0(2)) = k4_xcmplx_0(52) )).
fof(rqRealMult__k3_xcmplx_0__r26_rm3_rm78,axiom,( k3_xcmplx_0(26,k4_xcmplx_0(3)) = k4_xcmplx_0(78) )).
fof(rqRealMult__k3_xcmplx_0__r26_rn1d3_rn26d3,axiom,( k3_xcmplx_0(26,k7_xcmplx_0(1,3)) = k7_xcmplx_0(26,3) )).
fof(rqRealMult__k3_xcmplx_0__r26_rn2d27_rn52d27,axiom,( k3_xcmplx_0(26,k7_xcmplx_0(2,27)) = k7_xcmplx_0(52,27) )).
fof(rqRealMult__k3_xcmplx_0__r26_rnm1d3_rnm26d3,axiom,( k3_xcmplx_0(26,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealMult__k3_xcmplx_0__r270_r1_r270,axiom,( k3_xcmplx_0(270,1) = 270 )).
fof(rqRealMult__k3_xcmplx_0__r274_r1_r274,axiom,( k3_xcmplx_0(274,1) = 274 )).
fof(rqRealMult__k3_xcmplx_0__r27_crm2r0_crm54r0,axiom,( k3_xcmplx_0(27,k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(54),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r27_r0_r0,axiom,( k3_xcmplx_0(27,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r27_r1_r27,axiom,( k3_xcmplx_0(27,1) = 27 )).
fof(rqRealMult__k3_xcmplx_0__r27_r23_r621,axiom,( k3_xcmplx_0(27,23) = 621 )).
fof(rqRealMult__k3_xcmplx_0__r27_r27_r729,axiom,( k3_xcmplx_0(27,27) = 729 )).
fof(rqRealMult__k3_xcmplx_0__r27_r2_r54,axiom,( k3_xcmplx_0(27,2) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r27_r3_r81,axiom,( k3_xcmplx_0(27,3) = 81 )).
fof(rqRealMult__k3_xcmplx_0__r27_r4_r108,axiom,( k3_xcmplx_0(27,4) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r27_r5_r135,axiom,( k3_xcmplx_0(27,5) = 135 )).
fof(rqRealMult__k3_xcmplx_0__r27_rm2_rm54,axiom,( k3_xcmplx_0(27,k4_xcmplx_0(2)) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__r27_rm3_rm81,axiom,( k3_xcmplx_0(27,k4_xcmplx_0(3)) = k4_xcmplx_0(81) )).
fof(rqRealMult__k3_xcmplx_0__r27_rn1d18_rn3d2,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(1,18)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__r27_rn1d3_r9,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(1,3)) = 9 )).
fof(rqRealMult__k3_xcmplx_0__r27_rn1d4_rn27d4,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(1,4)) = k7_xcmplx_0(27,4) )).
fof(rqRealMult__k3_xcmplx_0__r27_rn2d27_r2,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(2,27)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r27_rn7d18_rn21d2,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(7,18)) = k7_xcmplx_0(21,2) )).
fof(rqRealMult__k3_xcmplx_0__r27_rnm1d16_rnm27d16,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(27),16) )).
fof(rqRealMult__k3_xcmplx_0__r27_rnm1d18_rnm3d2,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__r27_rnm1d3_rm9,axiom,( k3_xcmplx_0(27,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__r280_r1_r280,axiom,( k3_xcmplx_0(280,1) = 280 )).
fof(rqRealMult__k3_xcmplx_0__r286_r1_r286,axiom,( k3_xcmplx_0(286,1) = 286 )).
fof(rqRealMult__k3_xcmplx_0__r288_r1_r288,axiom,( k3_xcmplx_0(288,1) = 288 )).
fof(rqRealMult__k3_xcmplx_0__r28_r11_r308,axiom,( k3_xcmplx_0(28,11) = 308 )).
fof(rqRealMult__k3_xcmplx_0__r28_r13_r364,axiom,( k3_xcmplx_0(28,13) = 364 )).
fof(rqRealMult__k3_xcmplx_0__r28_r1_r28,axiom,( k3_xcmplx_0(28,1) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r28_r2_r56,axiom,( k3_xcmplx_0(28,2) = 56 )).
fof(rqRealMult__k3_xcmplx_0__r28_r8_r224,axiom,( k3_xcmplx_0(28,8) = 224 )).
fof(rqRealMult__k3_xcmplx_0__r28_rm2_rm56,axiom,( k3_xcmplx_0(28,k4_xcmplx_0(2)) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__r28_rm6_rm168,axiom,( k3_xcmplx_0(28,k4_xcmplx_0(6)) = k4_xcmplx_0(168) )).
fof(rqRealMult__k3_xcmplx_0__r28_rm8_rm224,axiom,( k3_xcmplx_0(28,k4_xcmplx_0(8)) = k4_xcmplx_0(224) )).
fof(rqRealMult__k3_xcmplx_0__r28_rn1d18_rn14d9,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(1,18)) = k7_xcmplx_0(14,9) )).
fof(rqRealMult__k3_xcmplx_0__r28_rn1d2_r14,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(1,2)) = 14 )).
fof(rqRealMult__k3_xcmplx_0__r28_rn1d3_rn28d3,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(1,3)) = k7_xcmplx_0(28,3) )).
fof(rqRealMult__k3_xcmplx_0__r28_rn1d4_r7,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(1,4)) = 7 )).
fof(rqRealMult__k3_xcmplx_0__r28_rn1d8_rn7d2,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(1,8)) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__r28_rn2d27_rn56d27,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(2,27)) = k7_xcmplx_0(56,27) )).
fof(rqRealMult__k3_xcmplx_0__r28_rn7d18_rn98d9,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(7,18)) = k7_xcmplx_0(98,9) )).
fof(rqRealMult__k3_xcmplx_0__r28_rnm1d16_rnm7d4,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealMult__k3_xcmplx_0__r28_rnm1d18_rnm14d9,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(14),9) )).
fof(rqRealMult__k3_xcmplx_0__r28_rnm1d3_rnm28d3,axiom,( k3_xcmplx_0(28,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(28),3) )).
fof(rqRealMult__k3_xcmplx_0__r29_r10_r290,axiom,( k3_xcmplx_0(29,10) = 290 )).
fof(rqRealMult__k3_xcmplx_0__r29_r1_r29,axiom,( k3_xcmplx_0(29,1) = 29 )).
fof(rqRealMult__k3_xcmplx_0__r29_r29_r841,axiom,( k3_xcmplx_0(29,29) = 841 )).
fof(rqRealMult__k3_xcmplx_0__r29_r2_r58,axiom,( k3_xcmplx_0(29,2) = 58 )).
fof(rqRealMult__k3_xcmplx_0__r29_r3_r87,axiom,( k3_xcmplx_0(29,3) = 87 )).
fof(rqRealMult__k3_xcmplx_0__r29_rm3_rm87,axiom,( k3_xcmplx_0(29,k4_xcmplx_0(3)) = k4_xcmplx_0(87) )).
fof(rqRealMult__k3_xcmplx_0__r29_rn1d10_rn29d10,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(1,10)) = k7_xcmplx_0(29,10) )).
fof(rqRealMult__k3_xcmplx_0__r29_rn1d36_rn29d36,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(1,36)) = k7_xcmplx_0(29,36) )).
fof(rqRealMult__k3_xcmplx_0__r29_rn1d5_rn29d5,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(1,5)) = k7_xcmplx_0(29,5) )).
fof(rqRealMult__k3_xcmplx_0__r29_rnm11d10_rnm319d10,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(k4_xcmplx_0(11),10)) = k7_xcmplx_0(k4_xcmplx_0(319),10) )).
fof(rqRealMult__k3_xcmplx_0__r29_rnm1d5_rnm29d5,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(29),5) )).
fof(rqRealMult__k3_xcmplx_0__r29_rnm2d5_rnm58d5,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(58),5) )).
fof(rqRealMult__k3_xcmplx_0__r29_rnm3d5_rnm87d5,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(k4_xcmplx_0(87),5) )).
fof(rqRealMult__k3_xcmplx_0__r29_rnm4d5_rnm116d5,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(116),5) )).
fof(rqRealMult__k3_xcmplx_0__r29_rnm7d10_rnm203d10,axiom,( k3_xcmplx_0(29,k7_xcmplx_0(k4_xcmplx_0(7),10)) = k7_xcmplx_0(k4_xcmplx_0(203),10) )).
fof(rqRealMult__k3_xcmplx_0__r2_cr1r0_cr2r0,axiom,( k3_xcmplx_0(2,k1_xcmplx_0) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r2_cr2r0_cr4r0,axiom,( k3_xcmplx_0(2,k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r2_crm1r0_crm2r0,axiom,( k3_xcmplx_0(2,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r2_crn1d2r0_cr1r0,axiom,( k3_xcmplx_0(2,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__r2_crn1d2rnm1d2_cr1rm1,axiom,( k3_xcmplx_0(2,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__r2_crnm1d2r0_crm1r0,axiom,( k3_xcmplx_0(2,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r2_crnm1d2rnm1d2_crm1rm1,axiom,( k3_xcmplx_0(2,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealMult__k3_xcmplx_0__r2_crnm1d4r0_crnm1d2r0,axiom,( k3_xcmplx_0(2,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0,axiom,( k3_xcmplx_0(2,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r2_r100_r200,axiom,( k3_xcmplx_0(2,100) = 200 )).
fof(rqRealMult__k3_xcmplx_0__r2_r10_r20,axiom,( k3_xcmplx_0(2,10) = 20 )).
fof(rqRealMult__k3_xcmplx_0__r2_r116_r232,axiom,( k3_xcmplx_0(2,116) = 232 )).
fof(rqRealMult__k3_xcmplx_0__r2_r11_r22,axiom,( k3_xcmplx_0(2,11) = 22 )).
fof(rqRealMult__k3_xcmplx_0__r2_r128_r256,axiom,( k3_xcmplx_0(2,128) = 256 )).
fof(rqRealMult__k3_xcmplx_0__r2_r12_r24,axiom,( k3_xcmplx_0(2,12) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r2_r13_r26,axiom,( k3_xcmplx_0(2,13) = 26 )).
fof(rqRealMult__k3_xcmplx_0__r2_r143_r286,axiom,( k3_xcmplx_0(2,143) = 286 )).
fof(rqRealMult__k3_xcmplx_0__r2_r14_r28,axiom,( k3_xcmplx_0(2,14) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r2_r158_r316,axiom,( k3_xcmplx_0(2,158) = 316 )).
fof(rqRealMult__k3_xcmplx_0__r2_r15_r30,axiom,( k3_xcmplx_0(2,15) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r2_r163_r326,axiom,( k3_xcmplx_0(2,163) = 326 )).
fof(rqRealMult__k3_xcmplx_0__r2_r166_r332,axiom,( k3_xcmplx_0(2,166) = 332 )).
fof(rqRealMult__k3_xcmplx_0__r2_r16_r32,axiom,( k3_xcmplx_0(2,16) = 32 )).
fof(rqRealMult__k3_xcmplx_0__r2_r178_r356,axiom,( k3_xcmplx_0(2,178) = 356 )).
fof(rqRealMult__k3_xcmplx_0__r2_r17_r34,axiom,( k3_xcmplx_0(2,17) = 34 )).
fof(rqRealMult__k3_xcmplx_0__r2_r185_r370,axiom,( k3_xcmplx_0(2,185) = 370 )).
fof(rqRealMult__k3_xcmplx_0__r2_r18_r36,axiom,( k3_xcmplx_0(2,18) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r2_r19_r38,axiom,( k3_xcmplx_0(2,19) = 38 )).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2,axiom,( k3_xcmplx_0(2,1) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r2_r20_r40,axiom,( k3_xcmplx_0(2,20) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r2_r21_r42,axiom,( k3_xcmplx_0(2,21) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r2_r23_r46,axiom,( k3_xcmplx_0(2,23) = 46 )).
fof(rqRealMult__k3_xcmplx_0__r2_r246_r492,axiom,( k3_xcmplx_0(2,246) = 492 )).
fof(rqRealMult__k3_xcmplx_0__r2_r24_r48,axiom,( k3_xcmplx_0(2,24) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r2_r256_r512,axiom,( k3_xcmplx_0(2,256) = 512 )).
fof(rqRealMult__k3_xcmplx_0__r2_r26_r52,axiom,( k3_xcmplx_0(2,26) = 52 )).
fof(rqRealMult__k3_xcmplx_0__r2_r27_r54,axiom,( k3_xcmplx_0(2,27) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r2_r28_r56,axiom,( k3_xcmplx_0(2,28) = 56 )).
fof(rqRealMult__k3_xcmplx_0__r2_r29_r58,axiom,( k3_xcmplx_0(2,29) = 58 )).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4,axiom,( k3_xcmplx_0(2,2) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r2_r30_r60,axiom,( k3_xcmplx_0(2,30) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r2_r315_r630,axiom,( k3_xcmplx_0(2,315) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r2_r317_r634,axiom,( k3_xcmplx_0(2,317) = 634 )).
fof(rqRealMult__k3_xcmplx_0__r2_r320_r640,axiom,( k3_xcmplx_0(2,320) = 640 )).
fof(rqRealMult__k3_xcmplx_0__r2_r32_r64,axiom,( k3_xcmplx_0(2,32) = 64 )).
fof(rqRealMult__k3_xcmplx_0__r2_r33_r66,axiom,( k3_xcmplx_0(2,33) = 66 )).
fof(rqRealMult__k3_xcmplx_0__r2_r34_r68,axiom,( k3_xcmplx_0(2,34) = 68 )).
fof(rqRealMult__k3_xcmplx_0__r2_r35_r70,axiom,( k3_xcmplx_0(2,35) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r2_r36_r72,axiom,( k3_xcmplx_0(2,36) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r2_r390_r780,axiom,( k3_xcmplx_0(2,390) = 780 )).
fof(rqRealMult__k3_xcmplx_0__r2_r39_r78,axiom,( k3_xcmplx_0(2,39) = 78 )).
fof(rqRealMult__k3_xcmplx_0__r2_r3_r6,axiom,( k3_xcmplx_0(2,3) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r2_r41_r82,axiom,( k3_xcmplx_0(2,41) = 82 )).
fof(rqRealMult__k3_xcmplx_0__r2_r42_r84,axiom,( k3_xcmplx_0(2,42) = 84 )).
fof(rqRealMult__k3_xcmplx_0__r2_r43_r86,axiom,( k3_xcmplx_0(2,43) = 86 )).
fof(rqRealMult__k3_xcmplx_0__r2_r44_r88,axiom,( k3_xcmplx_0(2,44) = 88 )).
fof(rqRealMult__k3_xcmplx_0__r2_r45_r90,axiom,( k3_xcmplx_0(2,45) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r2_r48_r96,axiom,( k3_xcmplx_0(2,48) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r2_r4_r8,axiom,( k3_xcmplx_0(2,4) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r2_r50_r100,axiom,( k3_xcmplx_0(2,50) = 100 )).
fof(rqRealMult__k3_xcmplx_0__r2_r5_r10,axiom,( k3_xcmplx_0(2,5) = 10 )).
fof(rqRealMult__k3_xcmplx_0__r2_r62_r124,axiom,( k3_xcmplx_0(2,62) = 124 )).
fof(rqRealMult__k3_xcmplx_0__r2_r64_r128,axiom,( k3_xcmplx_0(2,64) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r2_r69_r138,axiom,( k3_xcmplx_0(2,69) = 138 )).
fof(rqRealMult__k3_xcmplx_0__r2_r6_r12,axiom,( k3_xcmplx_0(2,6) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r2_r7_r14,axiom,( k3_xcmplx_0(2,7) = 14 )).
fof(rqRealMult__k3_xcmplx_0__r2_r81_r162,axiom,( k3_xcmplx_0(2,81) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r2_r83_r166,axiom,( k3_xcmplx_0(2,83) = 166 )).
fof(rqRealMult__k3_xcmplx_0__r2_r84_r168,axiom,( k3_xcmplx_0(2,84) = 168 )).
fof(rqRealMult__k3_xcmplx_0__r2_r8_r16,axiom,( k3_xcmplx_0(2,8) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r2_r9_r18,axiom,( k3_xcmplx_0(2,9) = 18 )).
fof(rqRealMult__k3_xcmplx_0__r2_rm10_rm20,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(10)) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm11_rm22,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(11)) = k4_xcmplx_0(22) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm12_rm24,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(12)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm13_rm26,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(13)) = k4_xcmplx_0(26) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm140_rm280,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(140)) = k4_xcmplx_0(280) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm14_rm28,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(14)) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm166_rm332,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(166)) = k4_xcmplx_0(332) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm16_rm32,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(16)) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm18_rm36,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(18)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm20_rm40,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(20)) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm212_rm424,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(212)) = k4_xcmplx_0(424) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm27_rm54,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(27)) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm2_rm4,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(2)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm30_rm60,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(30)) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm3_rm6,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(3)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm46_rm92,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(46)) = k4_xcmplx_0(92) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm48_rm96,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(48)) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm4_rm8,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(4)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm52_rm104,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(52)) = k4_xcmplx_0(104) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm5_rm10,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(5)) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm6_rm12,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(6)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm70_rm140,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(70)) = k4_xcmplx_0(140) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm76_rm152,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(76)) = k4_xcmplx_0(152) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm7_rm14,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(7)) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm80_rm160,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(80)) = k4_xcmplx_0(160) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm8_rm16,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(8)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm90_rm180,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(90)) = k4_xcmplx_0(180) )).
fof(rqRealMult__k3_xcmplx_0__r2_rm9_rm18,axiom,( k3_xcmplx_0(2,k4_xcmplx_0(9)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn119d240_rn119d120,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(119,240)) = k7_xcmplx_0(119,120) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d10_rn1d5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,10)) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d16_rn1d8,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d18_rn1d9,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,18)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d240_rn1d120,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,240)) = k7_xcmplx_0(1,120) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d24_rn1d12,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d27_rn2d27,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,27)) = k7_xcmplx_0(2,27) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,2)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d32_rn1d16,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,32)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d54_rn1d27,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,54)) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d5_rn2d5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,5)) = k7_xcmplx_0(2,5) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d60_rn1d30,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,60)) = k7_xcmplx_0(1,30) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d64_rn1d32,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,64)) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d6_rn1d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d80_rn1d40,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,80)) = k7_xcmplx_0(1,40) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d8_rn1d4,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d9_rn2d9,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(1,9)) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn2d27_rn4d27,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(2,27)) = k7_xcmplx_0(4,27) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(2,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn2d5_rn4d5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(2,5)) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(3,2)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn3d8_rn3d4,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(3,8)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn59d60_rn59d30,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(59,60)) = k7_xcmplx_0(59,30) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn5d2_r5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(5,2)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__r2_rn5d3_rn10d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(5,3)) = k7_xcmplx_0(10,3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn5d4_rn5d2,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(5,4)) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn7d18_rn7d9,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(7,18)) = k7_xcmplx_0(7,9) )).
fof(rqRealMult__k3_xcmplx_0__r2_rn8d3_rn16d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(8,3)) = k7_xcmplx_0(16,3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm11d2_rm11,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(11),2)) = k4_xcmplx_0(11) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm13d2_rm13,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(13),2)) = k4_xcmplx_0(13) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm159d100_rnm159d50,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(k4_xcmplx_0(159),50) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d10_rnm1d5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d12_rnm1d6,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d16_rnm1d8,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d18_rnm1d9,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d24_rnm1d12,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d27_rnm2d27,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d32_rnm1d16,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d36_rnm1d18,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),36)) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d40_rnm1d20,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(k4_xcmplx_0(1),20) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d5_rnm2d5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d6_rnm1d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d80_rnm1d40,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(1),40) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d8_rnm1d4,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d9_rnm2d9,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm25d2_rm25,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(25),2)) = k4_xcmplx_0(25) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm35d36_rnm35d18,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(35),36)) = k7_xcmplx_0(k4_xcmplx_0(35),18) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm35d6_rnm35d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(35),6)) = k7_xcmplx_0(k4_xcmplx_0(35),3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm3d32_rnm3d16,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm3d8_rnm3d4,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm4d3_rnm8d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm4d5_rnm8d5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm5d2_rm5,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm5d3_rnm10d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm7d36_rnm7d18,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(7),36)) = k7_xcmplx_0(k4_xcmplx_0(7),18) )).
fof(rqRealMult__k3_xcmplx_0__r2_rnm7d3_rnm14d3,axiom,( k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealMult__k3_xcmplx_0__r300_r1_r300,axiom,( k3_xcmplx_0(300,1) = 300 )).
fof(rqRealMult__k3_xcmplx_0__r306_r1_r306,axiom,( k3_xcmplx_0(306,1) = 306 )).
fof(rqRealMult__k3_xcmplx_0__r30_r1_r30,axiom,( k3_xcmplx_0(30,1) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r30_r2_r60,axiom,( k3_xcmplx_0(30,2) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r30_r3_r90,axiom,( k3_xcmplx_0(30,3) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r30_r4_r120,axiom,( k3_xcmplx_0(30,4) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r30_rm3_rm90,axiom,( k3_xcmplx_0(30,k4_xcmplx_0(3)) = k4_xcmplx_0(90) )).
fof(rqRealMult__k3_xcmplx_0__r30_rn1d10_r3,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(1,10)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r30_rn1d5_r6,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(1,5)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r30_rnm11d10_rm33,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(k4_xcmplx_0(11),10)) = k4_xcmplx_0(33) )).
fof(rqRealMult__k3_xcmplx_0__r30_rnm1d5_rm6,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__r30_rnm2d5_rm12,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r30_rnm3d5_rm18,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__r30_rnm4d5_rm24,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r30_rnm7d10_rm21,axiom,( k3_xcmplx_0(30,k7_xcmplx_0(k4_xcmplx_0(7),10)) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__r312_r1_r312,axiom,( k3_xcmplx_0(312,1) = 312 )).
fof(rqRealMult__k3_xcmplx_0__r315_r1_r315,axiom,( k3_xcmplx_0(315,1) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r315_r2_r630,axiom,( k3_xcmplx_0(315,2) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r317_r2_r634,axiom,( k3_xcmplx_0(317,2) = 634 )).
fof(rqRealMult__k3_xcmplx_0__r318_r1_r318,axiom,( k3_xcmplx_0(318,1) = 318 )).
fof(rqRealMult__k3_xcmplx_0__r31_r1_r31,axiom,( k3_xcmplx_0(31,1) = 31 )).
fof(rqRealMult__k3_xcmplx_0__r31_r2_r62,axiom,( k3_xcmplx_0(31,2) = 62 )).
fof(rqRealMult__k3_xcmplx_0__r31_rm3_rm93,axiom,( k3_xcmplx_0(31,k4_xcmplx_0(3)) = k4_xcmplx_0(93) )).
fof(rqRealMult__k3_xcmplx_0__r31_rn1d32_rn31d32,axiom,( k3_xcmplx_0(31,k7_xcmplx_0(1,32)) = k7_xcmplx_0(31,32) )).
fof(rqRealMult__k3_xcmplx_0__r31_rn1d4_rn31d4,axiom,( k3_xcmplx_0(31,k7_xcmplx_0(1,4)) = k7_xcmplx_0(31,4) )).
fof(rqRealMult__k3_xcmplx_0__r31_rnm1d32_rnm31d32,axiom,( k3_xcmplx_0(31,k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(31),32) )).
fof(rqRealMult__k3_xcmplx_0__r320_r1_r320,axiom,( k3_xcmplx_0(320,1) = 320 )).
fof(rqRealMult__k3_xcmplx_0__r320_r2_r640,axiom,( k3_xcmplx_0(320,2) = 640 )).
fof(rqRealMult__k3_xcmplx_0__r32_r0_r0,axiom,( k3_xcmplx_0(32,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r32_r16_r512,axiom,( k3_xcmplx_0(32,16) = 512 )).
fof(rqRealMult__k3_xcmplx_0__r32_r1_r32,axiom,( k3_xcmplx_0(32,1) = 32 )).
fof(rqRealMult__k3_xcmplx_0__r32_r2_r64,axiom,( k3_xcmplx_0(32,2) = 64 )).
fof(rqRealMult__k3_xcmplx_0__r32_r3_r96,axiom,( k3_xcmplx_0(32,3) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r32_r4_r128,axiom,( k3_xcmplx_0(32,4) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r32_r5_r160,axiom,( k3_xcmplx_0(32,5) = 160 )).
fof(rqRealMult__k3_xcmplx_0__r32_rm12_rm384,axiom,( k3_xcmplx_0(32,k4_xcmplx_0(12)) = k4_xcmplx_0(384) )).
fof(rqRealMult__k3_xcmplx_0__r32_rm3_rm96,axiom,( k3_xcmplx_0(32,k4_xcmplx_0(3)) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__r32_rn1d2_r16,axiom,( k3_xcmplx_0(32,k7_xcmplx_0(1,2)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r32_rn1d32_r1,axiom,( k3_xcmplx_0(32,k7_xcmplx_0(1,32)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r32_rn1d4_r8,axiom,( k3_xcmplx_0(32,k7_xcmplx_0(1,4)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r32_rnm1d32_rm1,axiom,( k3_xcmplx_0(32,k7_xcmplx_0(k4_xcmplx_0(1),32)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r335_r1_r335,axiom,( k3_xcmplx_0(335,1) = 335 )).
fof(rqRealMult__k3_xcmplx_0__r33_r19_r627,axiom,( k3_xcmplx_0(33,19) = 627 )).
fof(rqRealMult__k3_xcmplx_0__r33_r1_r33,axiom,( k3_xcmplx_0(33,1) = 33 )).
fof(rqRealMult__k3_xcmplx_0__r33_r2_r66,axiom,( k3_xcmplx_0(33,2) = 66 )).
fof(rqRealMult__k3_xcmplx_0__r33_r3_r99,axiom,( k3_xcmplx_0(33,3) = 99 )).
fof(rqRealMult__k3_xcmplx_0__r33_rn1d18_rn11d6,axiom,( k3_xcmplx_0(33,k7_xcmplx_0(1,18)) = k7_xcmplx_0(11,6) )).
fof(rqRealMult__k3_xcmplx_0__r33_rn1d3_r11,axiom,( k3_xcmplx_0(33,k7_xcmplx_0(1,3)) = 11 )).
fof(rqRealMult__k3_xcmplx_0__r33_rn7d18_rn77d6,axiom,( k3_xcmplx_0(33,k7_xcmplx_0(7,18)) = k7_xcmplx_0(77,6) )).
fof(rqRealMult__k3_xcmplx_0__r33_rnm1d18_rnm11d6,axiom,( k3_xcmplx_0(33,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(11),6) )).
fof(rqRealMult__k3_xcmplx_0__r33_rnm1d3_rm11,axiom,( k3_xcmplx_0(33,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(11) )).
fof(rqRealMult__k3_xcmplx_0__r340_r1_r340,axiom,( k3_xcmplx_0(340,1) = 340 )).
fof(rqRealMult__k3_xcmplx_0__r346_r1_r346,axiom,( k3_xcmplx_0(346,1) = 346 )).
fof(rqRealMult__k3_xcmplx_0__r349_r1_r349,axiom,( k3_xcmplx_0(349,1) = 349 )).
fof(rqRealMult__k3_xcmplx_0__r34_r1_r34,axiom,( k3_xcmplx_0(34,1) = 34 )).
fof(rqRealMult__k3_xcmplx_0__r34_r2_r68,axiom,( k3_xcmplx_0(34,2) = 68 )).
fof(rqRealMult__k3_xcmplx_0__r34_rn1d18_rn17d9,axiom,( k3_xcmplx_0(34,k7_xcmplx_0(1,18)) = k7_xcmplx_0(17,9) )).
fof(rqRealMult__k3_xcmplx_0__r34_rn1d3_rn34d3,axiom,( k3_xcmplx_0(34,k7_xcmplx_0(1,3)) = k7_xcmplx_0(34,3) )).
fof(rqRealMult__k3_xcmplx_0__r34_rn7d18_rn119d9,axiom,( k3_xcmplx_0(34,k7_xcmplx_0(7,18)) = k7_xcmplx_0(119,9) )).
fof(rqRealMult__k3_xcmplx_0__r34_rnm1d18_rnm17d9,axiom,( k3_xcmplx_0(34,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(17),9) )).
fof(rqRealMult__k3_xcmplx_0__r34_rnm1d3_rnm34d3,axiom,( k3_xcmplx_0(34,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(34),3) )).
fof(rqRealMult__k3_xcmplx_0__r350_r1_r350,axiom,( k3_xcmplx_0(350,1) = 350 )).
fof(rqRealMult__k3_xcmplx_0__r356_r1_r356,axiom,( k3_xcmplx_0(356,1) = 356 )).
fof(rqRealMult__k3_xcmplx_0__r35_r1_r35,axiom,( k3_xcmplx_0(35,1) = 35 )).
fof(rqRealMult__k3_xcmplx_0__r35_r2_r70,axiom,( k3_xcmplx_0(35,2) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r35_r4_r140,axiom,( k3_xcmplx_0(35,4) = 140 )).
fof(rqRealMult__k3_xcmplx_0__r35_r6_r210,axiom,( k3_xcmplx_0(35,6) = 210 )).
fof(rqRealMult__k3_xcmplx_0__r35_rm2_rm70,axiom,( k3_xcmplx_0(35,k4_xcmplx_0(2)) = k4_xcmplx_0(70) )).
fof(rqRealMult__k3_xcmplx_0__r35_rn1d18_rn35d18,axiom,( k3_xcmplx_0(35,k7_xcmplx_0(1,18)) = k7_xcmplx_0(35,18) )).
fof(rqRealMult__k3_xcmplx_0__r35_rn1d2_rn35d2,axiom,( k3_xcmplx_0(35,k7_xcmplx_0(1,2)) = k7_xcmplx_0(35,2) )).
fof(rqRealMult__k3_xcmplx_0__r35_rn1d3_rn35d3,axiom,( k3_xcmplx_0(35,k7_xcmplx_0(1,3)) = k7_xcmplx_0(35,3) )).
fof(rqRealMult__k3_xcmplx_0__r35_rn7d18_rn245d18,axiom,( k3_xcmplx_0(35,k7_xcmplx_0(7,18)) = k7_xcmplx_0(245,18) )).
fof(rqRealMult__k3_xcmplx_0__r35_rnm1d18_rnm35d18,axiom,( k3_xcmplx_0(35,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(35),18) )).
fof(rqRealMult__k3_xcmplx_0__r35_rnm1d3_rnm35d3,axiom,( k3_xcmplx_0(35,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(35),3) )).
fof(rqRealMult__k3_xcmplx_0__r360_r1_r360,axiom,( k3_xcmplx_0(360,1) = 360 )).
fof(rqRealMult__k3_xcmplx_0__r36_r1_r36,axiom,( k3_xcmplx_0(36,1) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r36_r2_r72,axiom,( k3_xcmplx_0(36,2) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r36_r3_r108,axiom,( k3_xcmplx_0(36,3) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r36_r6_r216,axiom,( k3_xcmplx_0(36,6) = 216 )).
fof(rqRealMult__k3_xcmplx_0__r36_r7_r252,axiom,( k3_xcmplx_0(36,7) = 252 )).
fof(rqRealMult__k3_xcmplx_0__r36_rm2_rm72,axiom,( k3_xcmplx_0(36,k4_xcmplx_0(2)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r36_rm3_rm108,axiom,( k3_xcmplx_0(36,k4_xcmplx_0(3)) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__r36_rm4_rm144,axiom,( k3_xcmplx_0(36,k4_xcmplx_0(4)) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__r36_rn1d18_r2,axiom,( k3_xcmplx_0(36,k7_xcmplx_0(1,18)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r36_rn1d3_r12,axiom,( k3_xcmplx_0(36,k7_xcmplx_0(1,3)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r36_rn1d4_r9,axiom,( k3_xcmplx_0(36,k7_xcmplx_0(1,4)) = 9 )).
fof(rqRealMult__k3_xcmplx_0__r36_rn7d18_r14,axiom,( k3_xcmplx_0(36,k7_xcmplx_0(7,18)) = 14 )).
fof(rqRealMult__k3_xcmplx_0__r36_rnm1d16_rnm9d4,axiom,( k3_xcmplx_0(36,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealMult__k3_xcmplx_0__r36_rnm1d18_rm2,axiom,( k3_xcmplx_0(36,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r36_rnm1d3_rm12,axiom,( k3_xcmplx_0(36,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r378_r1_r378,axiom,( k3_xcmplx_0(378,1) = 378 )).
fof(rqRealMult__k3_xcmplx_0__r37_r17_r629,axiom,( k3_xcmplx_0(37,17) = 629 )).
fof(rqRealMult__k3_xcmplx_0__r37_r1_r37,axiom,( k3_xcmplx_0(37,1) = 37 )).
fof(rqRealMult__k3_xcmplx_0__r37_r3_r111,axiom,( k3_xcmplx_0(37,3) = 111 )).
fof(rqRealMult__k3_xcmplx_0__r37_rn1d18_rn37d18,axiom,( k3_xcmplx_0(37,k7_xcmplx_0(1,18)) = k7_xcmplx_0(37,18) )).
fof(rqRealMult__k3_xcmplx_0__r37_rn1d3_rn37d3,axiom,( k3_xcmplx_0(37,k7_xcmplx_0(1,3)) = k7_xcmplx_0(37,3) )).
fof(rqRealMult__k3_xcmplx_0__r37_rn1d4_rn37d4,axiom,( k3_xcmplx_0(37,k7_xcmplx_0(1,4)) = k7_xcmplx_0(37,4) )).
fof(rqRealMult__k3_xcmplx_0__r37_rn7d18_rn259d18,axiom,( k3_xcmplx_0(37,k7_xcmplx_0(7,18)) = k7_xcmplx_0(259,18) )).
fof(rqRealMult__k3_xcmplx_0__r37_rnm1d16_rnm37d16,axiom,( k3_xcmplx_0(37,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(37),16) )).
fof(rqRealMult__k3_xcmplx_0__r37_rnm1d18_rnm37d18,axiom,( k3_xcmplx_0(37,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(37),18) )).
fof(rqRealMult__k3_xcmplx_0__r37_rnm1d3_rnm37d3,axiom,( k3_xcmplx_0(37,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(37),3) )).
fof(rqRealMult__k3_xcmplx_0__r38_r1_r38,axiom,( k3_xcmplx_0(38,1) = 38 )).
fof(rqRealMult__k3_xcmplx_0__r38_r3_r114,axiom,( k3_xcmplx_0(38,3) = 114 )).
fof(rqRealMult__k3_xcmplx_0__r38_r6_r228,axiom,( k3_xcmplx_0(38,6) = 228 )).
fof(rqRealMult__k3_xcmplx_0__r38_rm2_rm76,axiom,( k3_xcmplx_0(38,k4_xcmplx_0(2)) = k4_xcmplx_0(76) )).
fof(rqRealMult__k3_xcmplx_0__r38_rm3_rm114,axiom,( k3_xcmplx_0(38,k4_xcmplx_0(3)) = k4_xcmplx_0(114) )).
fof(rqRealMult__k3_xcmplx_0__r390_r2_r780,axiom,( k3_xcmplx_0(390,2) = 780 )).
fof(rqRealMult__k3_xcmplx_0__r39_r1_r39,axiom,( k3_xcmplx_0(39,1) = 39 )).
fof(rqRealMult__k3_xcmplx_0__r39_r2_r78,axiom,( k3_xcmplx_0(39,2) = 78 )).
fof(rqRealMult__k3_xcmplx_0__r39_r3_r117,axiom,( k3_xcmplx_0(39,3) = 117 )).
fof(rqRealMult__k3_xcmplx_0__r3_cr1r0_cr3r0,axiom,( k3_xcmplx_0(3,k1_xcmplx_0) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r3_cr2r0_cr6r0,axiom,( k3_xcmplx_0(3,k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(6,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r3_cr4r0_cr12r0,axiom,( k3_xcmplx_0(3,k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(12,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r3_crm1r0_crm3r0,axiom,( k3_xcmplx_0(3,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r3_crm4r0_crm12r0,axiom,( k3_xcmplx_0(3,k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r3_crn1d2r0_crn3d2r0,axiom,( k3_xcmplx_0(3,k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r3_crnm1d2r0_crnm3d2r0,axiom,( k3_xcmplx_0(3,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0,axiom,( k3_xcmplx_0(3,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r3_r100_r300,axiom,( k3_xcmplx_0(3,100) = 300 )).
fof(rqRealMult__k3_xcmplx_0__r3_r105_r315,axiom,( k3_xcmplx_0(3,105) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r3_r10_r30,axiom,( k3_xcmplx_0(3,10) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r3_r116_r348,axiom,( k3_xcmplx_0(3,116) = 348 )).
fof(rqRealMult__k3_xcmplx_0__r3_r11_r33,axiom,( k3_xcmplx_0(3,11) = 33 )).
fof(rqRealMult__k3_xcmplx_0__r3_r12_r36,axiom,( k3_xcmplx_0(3,12) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r3_r13_r39,axiom,( k3_xcmplx_0(3,13) = 39 )).
fof(rqRealMult__k3_xcmplx_0__r3_r143_r429,axiom,( k3_xcmplx_0(3,143) = 429 )).
fof(rqRealMult__k3_xcmplx_0__r3_r14_r42,axiom,( k3_xcmplx_0(3,14) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r3_r15_r45,axiom,( k3_xcmplx_0(3,15) = 45 )).
fof(rqRealMult__k3_xcmplx_0__r3_r16_r48,axiom,( k3_xcmplx_0(3,16) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r3_r178_r534,axiom,( k3_xcmplx_0(3,178) = 534 )).
fof(rqRealMult__k3_xcmplx_0__r3_r17_r51,axiom,( k3_xcmplx_0(3,17) = 51 )).
fof(rqRealMult__k3_xcmplx_0__r3_r18_r54,axiom,( k3_xcmplx_0(3,18) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r3_r19_r57,axiom,( k3_xcmplx_0(3,19) = 57 )).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3,axiom,( k3_xcmplx_0(3,1) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r3_r20_r60,axiom,( k3_xcmplx_0(3,20) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r3_r210_r630,axiom,( k3_xcmplx_0(3,210) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r3_r22_r66,axiom,( k3_xcmplx_0(3,22) = 66 )).
fof(rqRealMult__k3_xcmplx_0__r3_r23_r69,axiom,( k3_xcmplx_0(3,23) = 69 )).
fof(rqRealMult__k3_xcmplx_0__r3_r246_r738,axiom,( k3_xcmplx_0(3,246) = 738 )).
fof(rqRealMult__k3_xcmplx_0__r3_r24_r72,axiom,( k3_xcmplx_0(3,24) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r3_r256_r768,axiom,( k3_xcmplx_0(3,256) = 768 )).
fof(rqRealMult__k3_xcmplx_0__r3_r26_r78,axiom,( k3_xcmplx_0(3,26) = 78 )).
fof(rqRealMult__k3_xcmplx_0__r3_r27_r81,axiom,( k3_xcmplx_0(3,27) = 81 )).
fof(rqRealMult__k3_xcmplx_0__r3_r29_r87,axiom,( k3_xcmplx_0(3,29) = 87 )).
fof(rqRealMult__k3_xcmplx_0__r3_r2_r6,axiom,( k3_xcmplx_0(3,2) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r3_r32_r96,axiom,( k3_xcmplx_0(3,32) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r3_r33_r99,axiom,( k3_xcmplx_0(3,33) = 99 )).
fof(rqRealMult__k3_xcmplx_0__r3_r34_r102,axiom,( k3_xcmplx_0(3,34) = 102 )).
fof(rqRealMult__k3_xcmplx_0__r3_r36_r108,axiom,( k3_xcmplx_0(3,36) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r3_r37_r111,axiom,( k3_xcmplx_0(3,37) = 111 )).
fof(rqRealMult__k3_xcmplx_0__r3_r3_r9,axiom,( k3_xcmplx_0(3,3) = 9 )).
fof(rqRealMult__k3_xcmplx_0__r3_r43_r129,axiom,( k3_xcmplx_0(3,43) = 129 )).
fof(rqRealMult__k3_xcmplx_0__r3_r46_r138,axiom,( k3_xcmplx_0(3,46) = 138 )).
fof(rqRealMult__k3_xcmplx_0__r3_r47_r141,axiom,( k3_xcmplx_0(3,47) = 141 )).
fof(rqRealMult__k3_xcmplx_0__r3_r4_r12,axiom,( k3_xcmplx_0(3,4) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r3_r53_r159,axiom,( k3_xcmplx_0(3,53) = 159 )).
fof(rqRealMult__k3_xcmplx_0__r3_r54_r162,axiom,( k3_xcmplx_0(3,54) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r3_r5_r15,axiom,( k3_xcmplx_0(3,5) = 15 )).
fof(rqRealMult__k3_xcmplx_0__r3_r62_r186,axiom,( k3_xcmplx_0(3,62) = 186 )).
fof(rqRealMult__k3_xcmplx_0__r3_r67_r201,axiom,( k3_xcmplx_0(3,67) = 201 )).
fof(rqRealMult__k3_xcmplx_0__r3_r6_r18,axiom,( k3_xcmplx_0(3,6) = 18 )).
fof(rqRealMult__k3_xcmplx_0__r3_r73_r219,axiom,( k3_xcmplx_0(3,73) = 219 )).
fof(rqRealMult__k3_xcmplx_0__r3_r7_r21,axiom,( k3_xcmplx_0(3,7) = 21 )).
fof(rqRealMult__k3_xcmplx_0__r3_r83_r249,axiom,( k3_xcmplx_0(3,83) = 249 )).
fof(rqRealMult__k3_xcmplx_0__r3_r84_r252,axiom,( k3_xcmplx_0(3,84) = 252 )).
fof(rqRealMult__k3_xcmplx_0__r3_r8_r24,axiom,( k3_xcmplx_0(3,8) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r3_r97_r291,axiom,( k3_xcmplx_0(3,97) = 291 )).
fof(rqRealMult__k3_xcmplx_0__r3_r9_r27,axiom,( k3_xcmplx_0(3,9) = 27 )).
fof(rqRealMult__k3_xcmplx_0__r3_rm10_rm30,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(10)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm11_rm33,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(11)) = k4_xcmplx_0(33) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm12_rm36,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(12)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm140_rm420,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(140)) = k4_xcmplx_0(420) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm14_rm42,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(14)) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm166_rm498,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(166)) = k4_xcmplx_0(498) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm18_rm54,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(18)) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm20_rm60,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(20)) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm212_rm636,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(212)) = k4_xcmplx_0(636) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm27_rm81,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(27)) = k4_xcmplx_0(81) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm2_rm6,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(2)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm3_rm9,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(3)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm46_rm138,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(46)) = k4_xcmplx_0(138) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm48_rm144,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(48)) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm4_rm12,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(4)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm52_rm156,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(52)) = k4_xcmplx_0(156) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm5_rm15,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(5)) = k4_xcmplx_0(15) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm6_rm18,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(6)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm70_rm210,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(70)) = k4_xcmplx_0(210) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm76_rm228,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(76)) = k4_xcmplx_0(228) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm7_rm21,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(7)) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm80_rm240,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(80)) = k4_xcmplx_0(240) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm8_rm24,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(8)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm90_rm270,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(90)) = k4_xcmplx_0(270) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm96_rm288,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(96)) = k4_xcmplx_0(288) )).
fof(rqRealMult__k3_xcmplx_0__r3_rm9_rm27,axiom,( k3_xcmplx_0(3,k4_xcmplx_0(9)) = k4_xcmplx_0(27) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn119d240_rn119d80,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(119,240)) = k7_xcmplx_0(119,80) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d10_rn3d10,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,10)) = k7_xcmplx_0(3,10) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d12_rn1d4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,12)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d16_rn3d16,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,16)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d18_rn1d6,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,18)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d240_rn1d80,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,240)) = k7_xcmplx_0(1,80) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d24_rn1d8,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,3)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d5_rn3d5,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,5)) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d60_rn1d20,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,60)) = k7_xcmplx_0(1,20) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d6_rn1d2,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d80_rn3d80,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,80)) = k7_xcmplx_0(3,80) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d8_rn3d8,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,8)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d9_rn1d3,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(2,3)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r3_rn2d5_rn6d5,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(2,5)) = k7_xcmplx_0(6,5) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn2d81_rn2d27,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(2,81)) = k7_xcmplx_0(2,27) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn2d9_rn2d3,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(2,9)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn3d2_rn9d2,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(3,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn3d4_rn9d4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(3,4)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn3d8_rn9d8,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(3,8)) = k7_xcmplx_0(9,8) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn4d5_rn12d5,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(4,5)) = k7_xcmplx_0(12,5) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn59d60_rn59d20,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(59,60)) = k7_xcmplx_0(59,20) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn5d4_rn15d4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(5,4)) = k7_xcmplx_0(15,4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn7d18_rn7d6,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(7,18)) = k7_xcmplx_0(7,6) )).
fof(rqRealMult__k3_xcmplx_0__r3_rn7d3_r7,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(7,3)) = 7 )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d10_rnm3d10,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d12_rnm1d4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d16_rnm3d16,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d18_rnm1d6,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d24_rnm1d8,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d40_rnm3d40,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(k4_xcmplx_0(3),40) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d5_rnm3d5,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d64_rnm3d64,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d6_rnm1d2,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d80_rnm3d80,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(3),80) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d9_rnm1d3,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm3d4_rnm9d4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm3d8_rnm9d8,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm4d3_rm4,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r3_rnm4d5_rnm12d5,axiom,( k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealMult__k3_xcmplx_0__r400_r1_r400,axiom,( k3_xcmplx_0(400,1) = 400 )).
fof(rqRealMult__k3_xcmplx_0__r402_r1_r402,axiom,( k3_xcmplx_0(402,1) = 402 )).
fof(rqRealMult__k3_xcmplx_0__r408_r1_r408,axiom,( k3_xcmplx_0(408,1) = 408 )).
fof(rqRealMult__k3_xcmplx_0__r40_r1_r40,axiom,( k3_xcmplx_0(40,1) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r40_r2_r80,axiom,( k3_xcmplx_0(40,2) = 80 )).
fof(rqRealMult__k3_xcmplx_0__r40_r4_r160,axiom,( k3_xcmplx_0(40,4) = 160 )).
fof(rqRealMult__k3_xcmplx_0__r410_r1_r410,axiom,( k3_xcmplx_0(410,1) = 410 )).
fof(rqRealMult__k3_xcmplx_0__r419_r1_r419,axiom,( k3_xcmplx_0(419,1) = 419 )).
fof(rqRealMult__k3_xcmplx_0__r41_r1_r41,axiom,( k3_xcmplx_0(41,1) = 41 )).
fof(rqRealMult__k3_xcmplx_0__r41_r2_r82,axiom,( k3_xcmplx_0(41,2) = 82 )).
fof(rqRealMult__k3_xcmplx_0__r420_r1_r420,axiom,( k3_xcmplx_0(420,1) = 420 )).
fof(rqRealMult__k3_xcmplx_0__r42_r10_r420,axiom,( k3_xcmplx_0(42,10) = 420 )).
fof(rqRealMult__k3_xcmplx_0__r42_r1_r42,axiom,( k3_xcmplx_0(42,1) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r42_r2_r84,axiom,( k3_xcmplx_0(42,2) = 84 )).
fof(rqRealMult__k3_xcmplx_0__r42_r3_r126,axiom,( k3_xcmplx_0(42,3) = 126 )).
fof(rqRealMult__k3_xcmplx_0__r42_r5_r210,axiom,( k3_xcmplx_0(42,5) = 210 )).
fof(rqRealMult__k3_xcmplx_0__r42_r6_r252,axiom,( k3_xcmplx_0(42,6) = 252 )).
fof(rqRealMult__k3_xcmplx_0__r42_rm2_rm84,axiom,( k3_xcmplx_0(42,k4_xcmplx_0(2)) = k4_xcmplx_0(84) )).
fof(rqRealMult__k3_xcmplx_0__r42_rm3_rm126,axiom,( k3_xcmplx_0(42,k4_xcmplx_0(3)) = k4_xcmplx_0(126) )).
fof(rqRealMult__k3_xcmplx_0__r432_r1_r432,axiom,( k3_xcmplx_0(432,1) = 432 )).
fof(rqRealMult__k3_xcmplx_0__r43_r1_r43,axiom,( k3_xcmplx_0(43,1) = 43 )).
fof(rqRealMult__k3_xcmplx_0__r43_r2_r86,axiom,( k3_xcmplx_0(43,2) = 86 )).
fof(rqRealMult__k3_xcmplx_0__r43_r3_r129,axiom,( k3_xcmplx_0(43,3) = 129 )).
fof(rqRealMult__k3_xcmplx_0__r44_r1_r44,axiom,( k3_xcmplx_0(44,1) = 44 )).
fof(rqRealMult__k3_xcmplx_0__r44_r2_r88,axiom,( k3_xcmplx_0(44,2) = 88 )).
fof(rqRealMult__k3_xcmplx_0__r44_rm2_rm88,axiom,( k3_xcmplx_0(44,k4_xcmplx_0(2)) = k4_xcmplx_0(88) )).
fof(rqRealMult__k3_xcmplx_0__r453_r1_r453,axiom,( k3_xcmplx_0(453,1) = 453 )).
fof(rqRealMult__k3_xcmplx_0__r45_r1_r45,axiom,( k3_xcmplx_0(45,1) = 45 )).
fof(rqRealMult__k3_xcmplx_0__r45_r2_r90,axiom,( k3_xcmplx_0(45,2) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r45_r7_r315,axiom,( k3_xcmplx_0(45,7) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r45_r8_r360,axiom,( k3_xcmplx_0(45,8) = 360 )).
fof(rqRealMult__k3_xcmplx_0__r46_r1_r46,axiom,( k3_xcmplx_0(46,1) = 46 )).
fof(rqRealMult__k3_xcmplx_0__r46_r3_r138,axiom,( k3_xcmplx_0(46,3) = 138 )).
fof(rqRealMult__k3_xcmplx_0__r46_rn1d4_rn23d2,axiom,( k3_xcmplx_0(46,k7_xcmplx_0(1,4)) = k7_xcmplx_0(23,2) )).
fof(rqRealMult__k3_xcmplx_0__r46_rnm1d16_rnm23d8,axiom,( k3_xcmplx_0(46,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(23),8) )).
fof(rqRealMult__k3_xcmplx_0__r47_r1_r47,axiom,( k3_xcmplx_0(47,1) = 47 )).
fof(rqRealMult__k3_xcmplx_0__r47_r3_r141,axiom,( k3_xcmplx_0(47,3) = 141 )).
fof(rqRealMult__k3_xcmplx_0__r487_r1_r487,axiom,( k3_xcmplx_0(487,1) = 487 )).
fof(rqRealMult__k3_xcmplx_0__r48_r13_r624,axiom,( k3_xcmplx_0(48,13) = 624 )).
fof(rqRealMult__k3_xcmplx_0__r48_r16_r768,axiom,( k3_xcmplx_0(48,16) = 768 )).
fof(rqRealMult__k3_xcmplx_0__r48_r1_r48,axiom,( k3_xcmplx_0(48,1) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r48_r2_r96,axiom,( k3_xcmplx_0(48,2) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r48_r3_r144,axiom,( k3_xcmplx_0(48,3) = 144 )).
fof(rqRealMult__k3_xcmplx_0__r48_rm12_rm576,axiom,( k3_xcmplx_0(48,k4_xcmplx_0(12)) = k4_xcmplx_0(576) )).
fof(rqRealMult__k3_xcmplx_0__r48_rm2_rm96,axiom,( k3_xcmplx_0(48,k4_xcmplx_0(2)) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__r48_rm3_rm144,axiom,( k3_xcmplx_0(48,k4_xcmplx_0(3)) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__r48_rn1d4_r12,axiom,( k3_xcmplx_0(48,k7_xcmplx_0(1,4)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r48_rn1d8_r6,axiom,( k3_xcmplx_0(48,k7_xcmplx_0(1,8)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r48_rnm1d16_rm3,axiom,( k3_xcmplx_0(48,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r492_r1_r492,axiom,( k3_xcmplx_0(492,1) = 492 )).
fof(rqRealMult__k3_xcmplx_0__r494_r1_r494,axiom,( k3_xcmplx_0(494,1) = 494 )).
fof(rqRealMult__k3_xcmplx_0__r495_r1_r495,axiom,( k3_xcmplx_0(495,1) = 495 )).
fof(rqRealMult__k3_xcmplx_0__r49_r1_r49,axiom,( k3_xcmplx_0(49,1) = 49 )).
fof(rqRealMult__k3_xcmplx_0__r49_r2_r98,axiom,( k3_xcmplx_0(49,2) = 98 )).
fof(rqRealMult__k3_xcmplx_0__r49_r5_r245,axiom,( k3_xcmplx_0(49,5) = 245 )).
fof(rqRealMult__k3_xcmplx_0__r4_cr1r0_cr4r0,axiom,( k3_xcmplx_0(4,k1_xcmplx_0) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r4_cr2r0_cr8r0,axiom,( k3_xcmplx_0(4,k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(8,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r4_crm1r0_crm4r0,axiom,( k3_xcmplx_0(4,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r4_crnm1d4r0_crm1r0,axiom,( k3_xcmplx_0(4,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r4_r0_r0,axiom,( k3_xcmplx_0(4,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r4_r10_r40,axiom,( k3_xcmplx_0(4,10) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r4_r11_r44,axiom,( k3_xcmplx_0(4,11) = 44 )).
fof(rqRealMult__k3_xcmplx_0__r4_r12_r48,axiom,( k3_xcmplx_0(4,12) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r4_r13_r52,axiom,( k3_xcmplx_0(4,13) = 52 )).
fof(rqRealMult__k3_xcmplx_0__r4_r15_r60,axiom,( k3_xcmplx_0(4,15) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r4_r16_r64,axiom,( k3_xcmplx_0(4,16) = 64 )).
fof(rqRealMult__k3_xcmplx_0__r4_r17_r68,axiom,( k3_xcmplx_0(4,17) = 68 )).
fof(rqRealMult__k3_xcmplx_0__r4_r18_r72,axiom,( k3_xcmplx_0(4,18) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r4_r19_r76,axiom,( k3_xcmplx_0(4,19) = 76 )).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4,axiom,( k3_xcmplx_0(4,1) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r4_r20_r80,axiom,( k3_xcmplx_0(4,20) = 80 )).
fof(rqRealMult__k3_xcmplx_0__r4_r23_r92,axiom,( k3_xcmplx_0(4,23) = 92 )).
fof(rqRealMult__k3_xcmplx_0__r4_r24_r96,axiom,( k3_xcmplx_0(4,24) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r4_r27_r108,axiom,( k3_xcmplx_0(4,27) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r4_r2_r8,axiom,( k3_xcmplx_0(4,2) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r4_r30_r120,axiom,( k3_xcmplx_0(4,30) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r4_r32_r128,axiom,( k3_xcmplx_0(4,32) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r4_r35_r140,axiom,( k3_xcmplx_0(4,35) = 140 )).
fof(rqRealMult__k3_xcmplx_0__r4_r3_r12,axiom,( k3_xcmplx_0(4,3) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r4_r4_r16,axiom,( k3_xcmplx_0(4,4) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r4_r5_r20,axiom,( k3_xcmplx_0(4,5) = 20 )).
fof(rqRealMult__k3_xcmplx_0__r4_r64_r256,axiom,( k3_xcmplx_0(4,64) = 256 )).
fof(rqRealMult__k3_xcmplx_0__r4_r6_r24,axiom,( k3_xcmplx_0(4,6) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r4_r7_r28,axiom,( k3_xcmplx_0(4,7) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r4_r89_r356,axiom,( k3_xcmplx_0(4,89) = 356 )).
fof(rqRealMult__k3_xcmplx_0__r4_r8_r32,axiom,( k3_xcmplx_0(4,8) = 32 )).
fof(rqRealMult__k3_xcmplx_0__r4_r9_r36,axiom,( k3_xcmplx_0(4,9) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r4_rm10_rm40,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(10)) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm11_rm44,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(11)) = k4_xcmplx_0(44) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm128_rm512,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(128)) = k4_xcmplx_0(512) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm12_rm48,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(12)) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm15_rm60,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(15)) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm18_rm72,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(18)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm27_rm108,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(27)) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm2_rm8,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(2)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm30_rm120,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(30)) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm3_rm12,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(3)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm4_rm16,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(4)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm5_rm20,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(5)) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm6_rm24,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(6)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm7_rm28,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(7)) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm8_rm32,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(8)) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm96_rm384,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(96)) = k4_xcmplx_0(384) )).
fof(rqRealMult__k3_xcmplx_0__r4_rm9_rm36,axiom,( k3_xcmplx_0(4,k4_xcmplx_0(9)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d16_rn1d4,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d24_rn1d6,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d2_r2,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,2)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d32_rn1d8,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,32)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,3)) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d4_r1,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,4)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d5_rn4d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,5)) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d64_rn1d16,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,64)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d6_rn2d3,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,6)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d72_rn1d18,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,72)) = k7_xcmplx_0(1,18) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn1d8_rn1d2,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn25d16_rn25d4,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(25,16)) = k7_xcmplx_0(25,4) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn2d5_rn8d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(2,5)) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn3d2_r6,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(3,2)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r4_rn3d32_rn3d8,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(3,32)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn3d4_r3,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(3,4)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r4_rn3d5_rn12d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(3,5)) = k7_xcmplx_0(12,5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn4d5_rn16d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(4,5)) = k7_xcmplx_0(16,5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rn5d4_r5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(5,4)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__r4_rn9d16_rn9d4,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(9,16)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm12d5_rnm48d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(12),5)) = k7_xcmplx_0(k4_xcmplx_0(48),5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d16_rnm1d4,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d32_rnm1d8,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d512_rnm1d128,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),512)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d5_rnm4d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d64_rnm1d16,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d6_rnm2d3,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm1d8_rnm1d2,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm2d5_rnm8d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm36d5_rnm144d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(36),5)) = k7_xcmplx_0(k4_xcmplx_0(144),5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm3d2_rm6,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm3d32_rnm3d8,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm3d5_rnm12d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm3d8_rnm3d2,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm4d3_rnm16d3,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm4d5_rnm16d5,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(16),5) )).
fof(rqRealMult__k3_xcmplx_0__r4_rnm5d2_rm10,axiom,( k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__r50_r1_r50,axiom,( k3_xcmplx_0(50,1) = 50 )).
fof(rqRealMult__k3_xcmplx_0__r50_r2_r100,axiom,( k3_xcmplx_0(50,2) = 100 )).
fof(rqRealMult__k3_xcmplx_0__r50_r6_r300,axiom,( k3_xcmplx_0(50,6) = 300 )).
fof(rqRealMult__k3_xcmplx_0__r51_r1_r51,axiom,( k3_xcmplx_0(51,1) = 51 )).
fof(rqRealMult__k3_xcmplx_0__r524_r1_r524,axiom,( k3_xcmplx_0(524,1) = 524 )).
fof(rqRealMult__k3_xcmplx_0__r525_r1_r525,axiom,( k3_xcmplx_0(525,1) = 525 )).
fof(rqRealMult__k3_xcmplx_0__r52_r1_r52,axiom,( k3_xcmplx_0(52,1) = 52 )).
fof(rqRealMult__k3_xcmplx_0__r52_r3_r156,axiom,( k3_xcmplx_0(52,3) = 156 )).
fof(rqRealMult__k3_xcmplx_0__r52_rn1d4_r13,axiom,( k3_xcmplx_0(52,k7_xcmplx_0(1,4)) = 13 )).
fof(rqRealMult__k3_xcmplx_0__r52_rnm1d16_rnm13d4,axiom,( k3_xcmplx_0(52,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealMult__k3_xcmplx_0__r53_r3_r159,axiom,( k3_xcmplx_0(53,3) = 159 )).
fof(rqRealMult__k3_xcmplx_0__r544_r1_r544,axiom,( k3_xcmplx_0(544,1) = 544 )).
fof(rqRealMult__k3_xcmplx_0__r54_r1_r54,axiom,( k3_xcmplx_0(54,1) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r54_r2_r108,axiom,( k3_xcmplx_0(54,2) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r54_r3_r162,axiom,( k3_xcmplx_0(54,3) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r54_rm2_rm108,axiom,( k3_xcmplx_0(54,k4_xcmplx_0(2)) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__r55_r1_r55,axiom,( k3_xcmplx_0(55,1) = 55 )).
fof(rqRealMult__k3_xcmplx_0__r56_r1_r56,axiom,( k3_xcmplx_0(56,1) = 56 )).
fof(rqRealMult__k3_xcmplx_0__r56_rn1d2_r28,axiom,( k3_xcmplx_0(56,k7_xcmplx_0(1,2)) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r57_r11_r627,axiom,( k3_xcmplx_0(57,11) = 627 )).
fof(rqRealMult__k3_xcmplx_0__r57_r1_r57,axiom,( k3_xcmplx_0(57,1) = 57 )).
fof(rqRealMult__k3_xcmplx_0__r57_r2_r114,axiom,( k3_xcmplx_0(57,2) = 114 )).
fof(rqRealMult__k3_xcmplx_0__r57_rm3_rm171,axiom,( k3_xcmplx_0(57,k4_xcmplx_0(3)) = k4_xcmplx_0(171) )).
fof(rqRealMult__k3_xcmplx_0__r57_rn1d4_rn57d4,axiom,( k3_xcmplx_0(57,k7_xcmplx_0(1,4)) = k7_xcmplx_0(57,4) )).
fof(rqRealMult__k3_xcmplx_0__r57_rnm1d16_rnm57d16,axiom,( k3_xcmplx_0(57,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(57),16) )).
fof(rqRealMult__k3_xcmplx_0__r588_r1_r588,axiom,( k3_xcmplx_0(588,1) = 588 )).
fof(rqRealMult__k3_xcmplx_0__r596_r1_r596,axiom,( k3_xcmplx_0(596,1) = 596 )).
fof(rqRealMult__k3_xcmplx_0__r59_r1_r59,axiom,( k3_xcmplx_0(59,1) = 59 )).
fof(rqRealMult__k3_xcmplx_0__r59_r2_r118,axiom,( k3_xcmplx_0(59,2) = 118 )).
fof(rqRealMult__k3_xcmplx_0__r59_rm3_rm177,axiom,( k3_xcmplx_0(59,k4_xcmplx_0(3)) = k4_xcmplx_0(177) )).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0,axiom,( k3_xcmplx_0(5,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r5_r10_r50,axiom,( k3_xcmplx_0(5,10) = 50 )).
fof(rqRealMult__k3_xcmplx_0__r5_r11_r55,axiom,( k3_xcmplx_0(5,11) = 55 )).
fof(rqRealMult__k3_xcmplx_0__r5_r125_r625,axiom,( k3_xcmplx_0(5,125) = 625 )).
fof(rqRealMult__k3_xcmplx_0__r5_r126_r630,axiom,( k3_xcmplx_0(5,126) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r5_r128_r640,axiom,( k3_xcmplx_0(5,128) = 640 )).
fof(rqRealMult__k3_xcmplx_0__r5_r12_r60,axiom,( k3_xcmplx_0(5,12) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r5_r13_r65,axiom,( k3_xcmplx_0(5,13) = 65 )).
fof(rqRealMult__k3_xcmplx_0__r5_r14_r70,axiom,( k3_xcmplx_0(5,14) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r5_r15_r75,axiom,( k3_xcmplx_0(5,15) = 75 )).
fof(rqRealMult__k3_xcmplx_0__r5_r16_r80,axiom,( k3_xcmplx_0(5,16) = 80 )).
fof(rqRealMult__k3_xcmplx_0__r5_r17_r85,axiom,( k3_xcmplx_0(5,17) = 85 )).
fof(rqRealMult__k3_xcmplx_0__r5_r19_r95,axiom,( k3_xcmplx_0(5,19) = 95 )).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5,axiom,( k3_xcmplx_0(5,1) = 5 )).
fof(rqRealMult__k3_xcmplx_0__r5_r20_r100,axiom,( k3_xcmplx_0(5,20) = 100 )).
fof(rqRealMult__k3_xcmplx_0__r5_r24_r120,axiom,( k3_xcmplx_0(5,24) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r5_r25_r125,axiom,( k3_xcmplx_0(5,25) = 125 )).
fof(rqRealMult__k3_xcmplx_0__r5_r27_r135,axiom,( k3_xcmplx_0(5,27) = 135 )).
fof(rqRealMult__k3_xcmplx_0__r5_r2_r10,axiom,( k3_xcmplx_0(5,2) = 10 )).
fof(rqRealMult__k3_xcmplx_0__r5_r32_r160,axiom,( k3_xcmplx_0(5,32) = 160 )).
fof(rqRealMult__k3_xcmplx_0__r5_r3_r15,axiom,( k3_xcmplx_0(5,3) = 15 )).
fof(rqRealMult__k3_xcmplx_0__r5_r49_r245,axiom,( k3_xcmplx_0(5,49) = 245 )).
fof(rqRealMult__k3_xcmplx_0__r5_r4_r20,axiom,( k3_xcmplx_0(5,4) = 20 )).
fof(rqRealMult__k3_xcmplx_0__r5_r5_r25,axiom,( k3_xcmplx_0(5,5) = 25 )).
fof(rqRealMult__k3_xcmplx_0__r5_r63_r315,axiom,( k3_xcmplx_0(5,63) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r5_r6_r30,axiom,( k3_xcmplx_0(5,6) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r5_r7_r35,axiom,( k3_xcmplx_0(5,7) = 35 )).
fof(rqRealMult__k3_xcmplx_0__r5_r8_r40,axiom,( k3_xcmplx_0(5,8) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r5_r9_r45,axiom,( k3_xcmplx_0(5,9) = 45 )).
fof(rqRealMult__k3_xcmplx_0__r5_rm11_rm55,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(11)) = k4_xcmplx_0(55) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm128_rm640,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(128)) = k4_xcmplx_0(640) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm12_rm60,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(12)) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm13_rm65,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(13)) = k4_xcmplx_0(65) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm16_rm80,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(16)) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm2_rm10,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(2)) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm3_rm15,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(3)) = k4_xcmplx_0(15) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm4_rm20,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(4)) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm6_rm30,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(6)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm8_rm40,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(8)) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm96_rm480,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(96)) = k4_xcmplx_0(480) )).
fof(rqRealMult__k3_xcmplx_0__r5_rm9_rm45,axiom,( k3_xcmplx_0(5,k4_xcmplx_0(9)) = k4_xcmplx_0(45) )).
fof(rqRealMult__k3_xcmplx_0__r5_rn1d2_rn5d2,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__r5_rn1d3_rn5d3,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(1,3)) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__r5_rn1d4_rn5d4,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(1,4)) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__r5_rn1d5_r1,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(1,5)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r5_rn1d6_rn5d6,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(1,6)) = k7_xcmplx_0(5,6) )).
fof(rqRealMult__k3_xcmplx_0__r5_rn2d5_r2,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(2,5)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r5_rn3d2_rn15d2,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(3,2)) = k7_xcmplx_0(15,2) )).
fof(rqRealMult__k3_xcmplx_0__r5_rn3d5_r3,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(3,5)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r5_rn4d5_r4,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(4,5)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm12d5_rm12,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(12),5)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm1d2_rnm5d2,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm1d3_rnm5d3,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm1d4_rnm5d4,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm1d5_rm1,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm2d5_rm2,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm36d5_rm36,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(36),5)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm3d5_rm3,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(3),5)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm4d3_rnm20d3,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(20),3) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm4d5_rm4,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r5_rnm641d5_rm641,axiom,( k3_xcmplx_0(5,k7_xcmplx_0(k4_xcmplx_0(641),5)) = k4_xcmplx_0(641) )).
fof(rqRealMult__k3_xcmplx_0__r60_r1_r60,axiom,( k3_xcmplx_0(60,1) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r60_r2_r120,axiom,( k3_xcmplx_0(60,2) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r61_r1_r61,axiom,( k3_xcmplx_0(61,1) = 61 )).
fof(rqRealMult__k3_xcmplx_0__r61_rn1d4_rn61d4,axiom,( k3_xcmplx_0(61,k7_xcmplx_0(1,4)) = k7_xcmplx_0(61,4) )).
fof(rqRealMult__k3_xcmplx_0__r61_rnm1d16_rnm61d16,axiom,( k3_xcmplx_0(61,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(61),16) )).
fof(rqRealMult__k3_xcmplx_0__r62_r1_r62,axiom,( k3_xcmplx_0(62,1) = 62 )).
fof(rqRealMult__k3_xcmplx_0__r62_rn1d4_rn31d2,axiom,( k3_xcmplx_0(62,k7_xcmplx_0(1,4)) = k7_xcmplx_0(31,2) )).
fof(rqRealMult__k3_xcmplx_0__r62_rnm1d16_rnm31d8,axiom,( k3_xcmplx_0(62,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(31),8) )).
fof(rqRealMult__k3_xcmplx_0__r63_r1_r63,axiom,( k3_xcmplx_0(63,1) = 63 )).
fof(rqRealMult__k3_xcmplx_0__r63_r5_r315,axiom,( k3_xcmplx_0(63,5) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r63_rn1d4_rn63d4,axiom,( k3_xcmplx_0(63,k7_xcmplx_0(1,4)) = k7_xcmplx_0(63,4) )).
fof(rqRealMult__k3_xcmplx_0__r63_rnm1d16_rnm63d16,axiom,( k3_xcmplx_0(63,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(63),16) )).
fof(rqRealMult__k3_xcmplx_0__r640_r1_r640,axiom,( k3_xcmplx_0(640,1) = 640 )).
fof(rqRealMult__k3_xcmplx_0__r640_rn1d2_r320,axiom,( k3_xcmplx_0(640,k7_xcmplx_0(1,2)) = 320 )).
fof(rqRealMult__k3_xcmplx_0__r641_r0_r0,axiom,( k3_xcmplx_0(641,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r641_r1_r641,axiom,( k3_xcmplx_0(641,1) = 641 )).
fof(rqRealMult__k3_xcmplx_0__r645_r1_r645,axiom,( k3_xcmplx_0(645,1) = 645 )).
fof(rqRealMult__k3_xcmplx_0__r64_cr4r0_cr256r0,axiom,( k3_xcmplx_0(64,k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(256,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r64_crm4r0_crm256r0,axiom,( k3_xcmplx_0(64,k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r64_r0_r0,axiom,( k3_xcmplx_0(64,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r64_r1_r64,axiom,( k3_xcmplx_0(64,1) = 64 )).
fof(rqRealMult__k3_xcmplx_0__r64_r2_r128,axiom,( k3_xcmplx_0(64,2) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r64_r4_r256,axiom,( k3_xcmplx_0(64,4) = 256 )).
fof(rqRealMult__k3_xcmplx_0__r64_r8_r512,axiom,( k3_xcmplx_0(64,8) = 512 )).
fof(rqRealMult__k3_xcmplx_0__r64_rm12_rm768,axiom,( k3_xcmplx_0(64,k4_xcmplx_0(12)) = k4_xcmplx_0(768) )).
fof(rqRealMult__k3_xcmplx_0__r64_rm4_rm256,axiom,( k3_xcmplx_0(64,k4_xcmplx_0(4)) = k4_xcmplx_0(256) )).
fof(rqRealMult__k3_xcmplx_0__r64_rn1d2_r32,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(1,2)) = 32 )).
fof(rqRealMult__k3_xcmplx_0__r64_rn1d4_r16,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(1,4)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r64_rn1d64_r1,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(1,64)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r64_rn1d8_r8,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(1,8)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r64_rn3d64_r3,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(3,64)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r64_rnm1d16_rm4,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r64_rnm1d4_rm16,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__r64_rnm1d64_rm1,axiom,( k3_xcmplx_0(64,k7_xcmplx_0(k4_xcmplx_0(1),64)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r660_r1_r660,axiom,( k3_xcmplx_0(660,1) = 660 )).
fof(rqRealMult__k3_xcmplx_0__r66_r3_r198,axiom,( k3_xcmplx_0(66,3) = 198 )).
fof(rqRealMult__k3_xcmplx_0__r670_r1_r670,axiom,( k3_xcmplx_0(670,1) = 670 )).
fof(rqRealMult__k3_xcmplx_0__r67_r1_r67,axiom,( k3_xcmplx_0(67,1) = 67 )).
fof(rqRealMult__k3_xcmplx_0__r67_r3_r201,axiom,( k3_xcmplx_0(67,3) = 201 )).
fof(rqRealMult__k3_xcmplx_0__r68_r1_r68,axiom,( k3_xcmplx_0(68,1) = 68 )).
fof(rqRealMult__k3_xcmplx_0__r68_rn1d4_r17,axiom,( k3_xcmplx_0(68,k7_xcmplx_0(1,4)) = 17 )).
fof(rqRealMult__k3_xcmplx_0__r68_rnm1d16_rnm17d4,axiom,( k3_xcmplx_0(68,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealMult__k3_xcmplx_0__r69_r1_r69,axiom,( k3_xcmplx_0(69,1) = 69 )).
fof(rqRealMult__k3_xcmplx_0__r69_r2_r138,axiom,( k3_xcmplx_0(69,2) = 138 )).
fof(rqRealMult__k3_xcmplx_0__r6_cr1r0_cr6r0,axiom,( k3_xcmplx_0(6,k1_xcmplx_0) = k3_xcmplx_0(6,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r6_cr4r0_cr24r0,axiom,( k3_xcmplx_0(6,k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(24,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r6_r0_r0,axiom,( k3_xcmplx_0(6,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r6_r10_r60,axiom,( k3_xcmplx_0(6,10) = 60 )).
fof(rqRealMult__k3_xcmplx_0__r6_r11_r66,axiom,( k3_xcmplx_0(6,11) = 66 )).
fof(rqRealMult__k3_xcmplx_0__r6_r120_r720,axiom,( k3_xcmplx_0(6,120) = 720 )).
fof(rqRealMult__k3_xcmplx_0__r6_r12_r72,axiom,( k3_xcmplx_0(6,12) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r6_r13_r78,axiom,( k3_xcmplx_0(6,13) = 78 )).
fof(rqRealMult__k3_xcmplx_0__r6_r15_r90,axiom,( k3_xcmplx_0(6,15) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r6_r16_r96,axiom,( k3_xcmplx_0(6,16) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r6_r18_r108,axiom,( k3_xcmplx_0(6,18) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6,axiom,( k3_xcmplx_0(6,1) = 6 )).
fof(rqRealMult__k3_xcmplx_0__r6_r23_r138,axiom,( k3_xcmplx_0(6,23) = 138 )).
fof(rqRealMult__k3_xcmplx_0__r6_r27_r162,axiom,( k3_xcmplx_0(6,27) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r6_r2_r12,axiom,( k3_xcmplx_0(6,2) = 12 )).
fof(rqRealMult__k3_xcmplx_0__r6_r36_r216,axiom,( k3_xcmplx_0(6,36) = 216 )).
fof(rqRealMult__k3_xcmplx_0__r6_r3_r18,axiom,( k3_xcmplx_0(6,3) = 18 )).
fof(rqRealMult__k3_xcmplx_0__r6_r4_r24,axiom,( k3_xcmplx_0(6,4) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r6_r5_r30,axiom,( k3_xcmplx_0(6,5) = 30 )).
fof(rqRealMult__k3_xcmplx_0__r6_r6_r36,axiom,( k3_xcmplx_0(6,6) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r6_r7_r42,axiom,( k3_xcmplx_0(6,7) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r6_r8_r48,axiom,( k3_xcmplx_0(6,8) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r6_r9_r54,axiom,( k3_xcmplx_0(6,9) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r6_rm10_rm60,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(10)) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm11_rm66,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(11)) = k4_xcmplx_0(66) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm12_rm72,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(12)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm13_rm78,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(13)) = k4_xcmplx_0(78) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm16_rm96,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(16)) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm2_rm12,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(2)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm3_rm18,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(3)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm4_rm24,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(4)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm5_rm30,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(5)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm6_rm36,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(6)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm7_rm42,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(7)) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm8_rm48,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(8)) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__r6_rm9_rm54,axiom,( k3_xcmplx_0(6,k4_xcmplx_0(9)) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d10_rn3d5,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(1,10)) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d18_rn1d3,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(1,18)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d24_rn1d4,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d2_r3,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(1,2)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d3_r2,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(1,3)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d4_rn3d2,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d6_r1,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(1,6)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r6_rn25d6_r25,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(25,6)) = 25 )).
fof(rqRealMult__k3_xcmplx_0__r6_rn3d4_rn9d2,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(3,4)) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__r6_rn7d18_rn7d3,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(7,18)) = k7_xcmplx_0(7,3) )).
fof(rqRealMult__k3_xcmplx_0__r6_rn7d2_r21,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(7,2)) = 21 )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm13d2_rm39,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(13),2)) = k4_xcmplx_0(39) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm14d3_rm28,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(14),3)) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm19d2_rm57,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(19),2)) = k4_xcmplx_0(57) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm19d3_rm38,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(19),3)) = k4_xcmplx_0(38) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d18_rnm1d3,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d27_rnm2d9,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d2_rm3,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d3_rm2,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d4_rnm3d2,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d5_rnm6d5,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d6_rm1,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),6)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d7_rnm6d7,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(k4_xcmplx_0(6),7) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm4d5_rnm24d5,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(24),5) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm7d2_rm21,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(7),2)) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__r6_rnm91d6_rm91,axiom,( k3_xcmplx_0(6,k7_xcmplx_0(k4_xcmplx_0(91),6)) = k4_xcmplx_0(91) )).
fof(rqRealMult__k3_xcmplx_0__r700_r1_r700,axiom,( k3_xcmplx_0(700,1) = 700 )).
fof(rqRealMult__k3_xcmplx_0__r70_r1_r70,axiom,( k3_xcmplx_0(70,1) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r70_rm2_rm140,axiom,( k3_xcmplx_0(70,k4_xcmplx_0(2)) = k4_xcmplx_0(140) )).
fof(rqRealMult__k3_xcmplx_0__r71_r1_r71,axiom,( k3_xcmplx_0(71,1) = 71 )).
fof(rqRealMult__k3_xcmplx_0__r72_r1_r72,axiom,( k3_xcmplx_0(72,1) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r72_r2_r144,axiom,( k3_xcmplx_0(72,2) = 144 )).
fof(rqRealMult__k3_xcmplx_0__r72_r3_r216,axiom,( k3_xcmplx_0(72,3) = 216 )).
fof(rqRealMult__k3_xcmplx_0__r72_rm2_rm144,axiom,( k3_xcmplx_0(72,k4_xcmplx_0(2)) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__r72_rm3_rm216,axiom,( k3_xcmplx_0(72,k4_xcmplx_0(3)) = k4_xcmplx_0(216) )).
fof(rqRealMult__k3_xcmplx_0__r72_rn1d2_r36,axiom,( k3_xcmplx_0(72,k7_xcmplx_0(1,2)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r72_rn1d4_r18,axiom,( k3_xcmplx_0(72,k7_xcmplx_0(1,4)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__r72_rnm1d16_rnm9d2,axiom,( k3_xcmplx_0(72,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__r73_r3_r219,axiom,( k3_xcmplx_0(73,3) = 219 )).
fof(rqRealMult__k3_xcmplx_0__r75_r1_r75,axiom,( k3_xcmplx_0(75,1) = 75 )).
fof(rqRealMult__k3_xcmplx_0__r75_r3_r225,axiom,( k3_xcmplx_0(75,3) = 225 )).
fof(rqRealMult__k3_xcmplx_0__r75_rm3_rm225,axiom,( k3_xcmplx_0(75,k4_xcmplx_0(3)) = k4_xcmplx_0(225) )).
fof(rqRealMult__k3_xcmplx_0__r76_r1_r76,axiom,( k3_xcmplx_0(76,1) = 76 )).
fof(rqRealMult__k3_xcmplx_0__r780_r1_r780,axiom,( k3_xcmplx_0(780,1) = 780 )).
fof(rqRealMult__k3_xcmplx_0__r78_r1_r78,axiom,( k3_xcmplx_0(78,1) = 78 )).
fof(rqRealMult__k3_xcmplx_0__r78_r2_r156,axiom,( k3_xcmplx_0(78,2) = 156 )).
fof(rqRealMult__k3_xcmplx_0__r78_rm2_rm156,axiom,( k3_xcmplx_0(78,k4_xcmplx_0(2)) = k4_xcmplx_0(156) )).
fof(rqRealMult__k3_xcmplx_0__r79_r1_r79,axiom,( k3_xcmplx_0(79,1) = 79 )).
fof(rqRealMult__k3_xcmplx_0__r7_crm1r0_crm7r0,axiom,( k3_xcmplx_0(7,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(7),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0,axiom,( k3_xcmplx_0(7,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r7_r10_r70,axiom,( k3_xcmplx_0(7,10) = 70 )).
fof(rqRealMult__k3_xcmplx_0__r7_r11_r77,axiom,( k3_xcmplx_0(7,11) = 77 )).
fof(rqRealMult__k3_xcmplx_0__r7_r12_r84,axiom,( k3_xcmplx_0(7,12) = 84 )).
fof(rqRealMult__k3_xcmplx_0__r7_r13_r91,axiom,( k3_xcmplx_0(7,13) = 91 )).
fof(rqRealMult__k3_xcmplx_0__r7_r14_r98,axiom,( k3_xcmplx_0(7,14) = 98 )).
fof(rqRealMult__k3_xcmplx_0__r7_r15_r105,axiom,( k3_xcmplx_0(7,15) = 105 )).
fof(rqRealMult__k3_xcmplx_0__r7_r16_r112,axiom,( k3_xcmplx_0(7,16) = 112 )).
fof(rqRealMult__k3_xcmplx_0__r7_r18_r126,axiom,( k3_xcmplx_0(7,18) = 126 )).
fof(rqRealMult__k3_xcmplx_0__r7_r19_r133,axiom,( k3_xcmplx_0(7,19) = 133 )).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7,axiom,( k3_xcmplx_0(7,1) = 7 )).
fof(rqRealMult__k3_xcmplx_0__r7_r23_r161,axiom,( k3_xcmplx_0(7,23) = 161 )).
fof(rqRealMult__k3_xcmplx_0__r7_r24_r168,axiom,( k3_xcmplx_0(7,24) = 168 )).
fof(rqRealMult__k3_xcmplx_0__r7_r27_r189,axiom,( k3_xcmplx_0(7,27) = 189 )).
fof(rqRealMult__k3_xcmplx_0__r7_r2_r14,axiom,( k3_xcmplx_0(7,2) = 14 )).
fof(rqRealMult__k3_xcmplx_0__r7_r36_r252,axiom,( k3_xcmplx_0(7,36) = 252 )).
fof(rqRealMult__k3_xcmplx_0__r7_r3_r21,axiom,( k3_xcmplx_0(7,3) = 21 )).
fof(rqRealMult__k3_xcmplx_0__r7_r45_r315,axiom,( k3_xcmplx_0(7,45) = 315 )).
fof(rqRealMult__k3_xcmplx_0__r7_r4_r28,axiom,( k3_xcmplx_0(7,4) = 28 )).
fof(rqRealMult__k3_xcmplx_0__r7_r5_r35,axiom,( k3_xcmplx_0(7,5) = 35 )).
fof(rqRealMult__k3_xcmplx_0__r7_r6_r42,axiom,( k3_xcmplx_0(7,6) = 42 )).
fof(rqRealMult__k3_xcmplx_0__r7_r7_r49,axiom,( k3_xcmplx_0(7,7) = 49 )).
fof(rqRealMult__k3_xcmplx_0__r7_r8_r56,axiom,( k3_xcmplx_0(7,8) = 56 )).
fof(rqRealMult__k3_xcmplx_0__r7_r90_r630,axiom,( k3_xcmplx_0(7,90) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r7_r9_r63,axiom,( k3_xcmplx_0(7,9) = 63 )).
fof(rqRealMult__k3_xcmplx_0__r7_rm10_rm70,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(10)) = k4_xcmplx_0(70) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm11_rm77,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(11)) = k4_xcmplx_0(77) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm12_rm84,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(12)) = k4_xcmplx_0(84) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm13_rm91,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(13)) = k4_xcmplx_0(91) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm16_rm112,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(16)) = k4_xcmplx_0(112) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm2_rm14,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(2)) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm3_rm21,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(3)) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm4_rm28,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(4)) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm5_rm35,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(5)) = k4_xcmplx_0(35) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm6_rm42,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(6)) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm7_rm49,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(7)) = k4_xcmplx_0(49) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm8_rm56,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(8)) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm96_rm672,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(96)) = k4_xcmplx_0(672) )).
fof(rqRealMult__k3_xcmplx_0__r7_rm9_rm63,axiom,( k3_xcmplx_0(7,k4_xcmplx_0(9)) = k4_xcmplx_0(63) )).
fof(rqRealMult__k3_xcmplx_0__r7_rn16d7_r16,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(16,7)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d2_rn7d2,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d3_rn7d3,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(1,3)) = k7_xcmplx_0(7,3) )).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d4_rn7d4,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(1,4)) = k7_xcmplx_0(7,4) )).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d6_rn7d6,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(1,6)) = k7_xcmplx_0(7,6) )).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d8_rn7d8,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(1,8)) = k7_xcmplx_0(7,8) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d16_rnm7d16,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d2_rnm7d2,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d4_rnm7d4,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d5_rnm7d5,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(7),5) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d7_rm1,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(1),7)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d8_rnm7d8,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm3d8_rnm21d8,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(21),8) )).
fof(rqRealMult__k3_xcmplx_0__r7_rnm4d5_rnm28d5,axiom,( k3_xcmplx_0(7,k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(k4_xcmplx_0(28),5) )).
fof(rqRealMult__k3_xcmplx_0__r802_r1_r802,axiom,( k3_xcmplx_0(802,1) = 802 )).
fof(rqRealMult__k3_xcmplx_0__r80_r1_r80,axiom,( k3_xcmplx_0(80,1) = 80 )).
fof(rqRealMult__k3_xcmplx_0__r80_rn1d8_r10,axiom,( k3_xcmplx_0(80,k7_xcmplx_0(1,8)) = 10 )).
fof(rqRealMult__k3_xcmplx_0__r81_r1_r81,axiom,( k3_xcmplx_0(81,1) = 81 )).
fof(rqRealMult__k3_xcmplx_0__r81_r2_r162,axiom,( k3_xcmplx_0(81,2) = 162 )).
fof(rqRealMult__k3_xcmplx_0__r81_r9_r729,axiom,( k3_xcmplx_0(81,9) = 729 )).
fof(rqRealMult__k3_xcmplx_0__r81_rn1d3_r27,axiom,( k3_xcmplx_0(81,k7_xcmplx_0(1,3)) = 27 )).
fof(rqRealMult__k3_xcmplx_0__r81_rn1d4_rn81d4,axiom,( k3_xcmplx_0(81,k7_xcmplx_0(1,4)) = k7_xcmplx_0(81,4) )).
fof(rqRealMult__k3_xcmplx_0__r81_rn1d5_rn81d5,axiom,( k3_xcmplx_0(81,k7_xcmplx_0(1,5)) = k7_xcmplx_0(81,5) )).
fof(rqRealMult__k3_xcmplx_0__r81_rnm1d16_rnm81d16,axiom,( k3_xcmplx_0(81,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(81),16) )).
fof(rqRealMult__k3_xcmplx_0__r81_rnm1d9_rm9,axiom,( k3_xcmplx_0(81,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__r828_r1_r828,axiom,( k3_xcmplx_0(828,1) = 828 )).
fof(rqRealMult__k3_xcmplx_0__r82_r1_r82,axiom,( k3_xcmplx_0(82,1) = 82 )).
fof(rqRealMult__k3_xcmplx_0__r82_rn1d4_rn41d2,axiom,( k3_xcmplx_0(82,k7_xcmplx_0(1,4)) = k7_xcmplx_0(41,2) )).
fof(rqRealMult__k3_xcmplx_0__r82_rnm1d16_rnm41d8,axiom,( k3_xcmplx_0(82,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(41),8) )).
fof(rqRealMult__k3_xcmplx_0__r83_r1_r83,axiom,( k3_xcmplx_0(83,1) = 83 )).
fof(rqRealMult__k3_xcmplx_0__r83_r2_r166,axiom,( k3_xcmplx_0(83,2) = 166 )).
fof(rqRealMult__k3_xcmplx_0__r83_r3_r249,axiom,( k3_xcmplx_0(83,3) = 249 )).
fof(rqRealMult__k3_xcmplx_0__r83_rn1d4_rn83d4,axiom,( k3_xcmplx_0(83,k7_xcmplx_0(1,4)) = k7_xcmplx_0(83,4) )).
fof(rqRealMult__k3_xcmplx_0__r83_rnm1d16_rnm83d16,axiom,( k3_xcmplx_0(83,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(83),16) )).
fof(rqRealMult__k3_xcmplx_0__r84_r1_r84,axiom,( k3_xcmplx_0(84,1) = 84 )).
fof(rqRealMult__k3_xcmplx_0__r84_r3_r252,axiom,( k3_xcmplx_0(84,3) = 252 )).
fof(rqRealMult__k3_xcmplx_0__r84_rm3_rm252,axiom,( k3_xcmplx_0(84,k4_xcmplx_0(3)) = k4_xcmplx_0(252) )).
fof(rqRealMult__k3_xcmplx_0__r84_rn1d4_r21,axiom,( k3_xcmplx_0(84,k7_xcmplx_0(1,4)) = 21 )).
fof(rqRealMult__k3_xcmplx_0__r84_rnm1d16_rnm21d4,axiom,( k3_xcmplx_0(84,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealMult__k3_xcmplx_0__r85_r1_r85,axiom,( k3_xcmplx_0(85,1) = 85 )).
fof(rqRealMult__k3_xcmplx_0__r85_rn1d4_rn85d4,axiom,( k3_xcmplx_0(85,k7_xcmplx_0(1,4)) = k7_xcmplx_0(85,4) )).
fof(rqRealMult__k3_xcmplx_0__r85_rnm1d16_rnm85d16,axiom,( k3_xcmplx_0(85,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(85),16) )).
fof(rqRealMult__k3_xcmplx_0__r860_r1_r860,axiom,( k3_xcmplx_0(860,1) = 860 )).
fof(rqRealMult__k3_xcmplx_0__r869_r1_r869,axiom,( k3_xcmplx_0(869,1) = 869 )).
fof(rqRealMult__k3_xcmplx_0__r88_r1_r88,axiom,( k3_xcmplx_0(88,1) = 88 )).
fof(rqRealMult__k3_xcmplx_0__r89_r1_r89,axiom,( k3_xcmplx_0(89,1) = 89 )).
fof(rqRealMult__k3_xcmplx_0__r89_r4_r356,axiom,( k3_xcmplx_0(89,4) = 356 )).
fof(rqRealMult__k3_xcmplx_0__r8_cr1r0_cr8r0,axiom,( k3_xcmplx_0(8,k1_xcmplx_0) = k3_xcmplx_0(8,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r8_crm1r0_crm8r0,axiom,( k3_xcmplx_0(8,k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r8_r0_r0,axiom,( k3_xcmplx_0(8,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r8_r10_r80,axiom,( k3_xcmplx_0(8,10) = 80 )).
fof(rqRealMult__k3_xcmplx_0__r8_r11_r88,axiom,( k3_xcmplx_0(8,11) = 88 )).
fof(rqRealMult__k3_xcmplx_0__r8_r13_r104,axiom,( k3_xcmplx_0(8,13) = 104 )).
fof(rqRealMult__k3_xcmplx_0__r8_r14_r112,axiom,( k3_xcmplx_0(8,14) = 112 )).
fof(rqRealMult__k3_xcmplx_0__r8_r15_r120,axiom,( k3_xcmplx_0(8,15) = 120 )).
fof(rqRealMult__k3_xcmplx_0__r8_r16_r128,axiom,( k3_xcmplx_0(8,16) = 128 )).
fof(rqRealMult__k3_xcmplx_0__r8_r17_r136,axiom,( k3_xcmplx_0(8,17) = 136 )).
fof(rqRealMult__k3_xcmplx_0__r8_r19_r152,axiom,( k3_xcmplx_0(8,19) = 152 )).
fof(rqRealMult__k3_xcmplx_0__r8_r1_r8,axiom,( k3_xcmplx_0(8,1) = 8 )).
fof(rqRealMult__k3_xcmplx_0__r8_r27_r216,axiom,( k3_xcmplx_0(8,27) = 216 )).
fof(rqRealMult__k3_xcmplx_0__r8_r2_r16,axiom,( k3_xcmplx_0(8,2) = 16 )).
fof(rqRealMult__k3_xcmplx_0__r8_r3_r24,axiom,( k3_xcmplx_0(8,3) = 24 )).
fof(rqRealMult__k3_xcmplx_0__r8_r45_r360,axiom,( k3_xcmplx_0(8,45) = 360 )).
fof(rqRealMult__k3_xcmplx_0__r8_r4_r32,axiom,( k3_xcmplx_0(8,4) = 32 )).
fof(rqRealMult__k3_xcmplx_0__r8_r5_r40,axiom,( k3_xcmplx_0(8,5) = 40 )).
fof(rqRealMult__k3_xcmplx_0__r8_r64_r512,axiom,( k3_xcmplx_0(8,64) = 512 )).
fof(rqRealMult__k3_xcmplx_0__r8_r6_r48,axiom,( k3_xcmplx_0(8,6) = 48 )).
fof(rqRealMult__k3_xcmplx_0__r8_r7_r56,axiom,( k3_xcmplx_0(8,7) = 56 )).
fof(rqRealMult__k3_xcmplx_0__r8_r8_r64,axiom,( k3_xcmplx_0(8,8) = 64 )).
fof(rqRealMult__k3_xcmplx_0__r8_r9_r72,axiom,( k3_xcmplx_0(8,9) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r8_rm11_rm88,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(11)) = k4_xcmplx_0(88) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm12_rm96,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(12)) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm2_rm16,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(2)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm3_rm24,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(3)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm4_rm32,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(4)) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm5_rm40,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(5)) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm6_rm48,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(6)) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm7_rm56,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(7)) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm8_rm64,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(8)) = k4_xcmplx_0(64) )).
fof(rqRealMult__k3_xcmplx_0__r8_rm9_rm72,axiom,( k3_xcmplx_0(8,k4_xcmplx_0(9)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d128_rn1d16,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,128)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d16_rn1d2,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d18_rn4d9,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,18)) = k7_xcmplx_0(4,9) )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d2_r4,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,2)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d3_rn8d3,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,3)) = k7_xcmplx_0(8,3) )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d4_r2,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,4)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d64_rn1d8,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,64)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__r8_rn1d8_r1,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(1,8)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r8_rn7d18_rn28d9,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(7,18)) = k7_xcmplx_0(28,9) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d16_rnm1d2,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d18_rnm4d9,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d2_rm4,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d32_rnm1d4,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d3_rnm8d3,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d4_rm2,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d64_rnm1d8,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm1d8_rm1,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r8_rnm3d8_rm3,axiom,( k3_xcmplx_0(8,k7_xcmplx_0(k4_xcmplx_0(3),8)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r90_r1_r90,axiom,( k3_xcmplx_0(90,1) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r90_r7_r630,axiom,( k3_xcmplx_0(90,7) = 630 )).
fof(rqRealMult__k3_xcmplx_0__r91_r1_r91,axiom,( k3_xcmplx_0(91,1) = 91 )).
fof(rqRealMult__k3_xcmplx_0__r94_r1_r94,axiom,( k3_xcmplx_0(94,1) = 94 )).
fof(rqRealMult__k3_xcmplx_0__r96_r1_r96,axiom,( k3_xcmplx_0(96,1) = 96 )).
fof(rqRealMult__k3_xcmplx_0__r96_r3_r288,axiom,( k3_xcmplx_0(96,3) = 288 )).
fof(rqRealMult__k3_xcmplx_0__r96_rm3_rm288,axiom,( k3_xcmplx_0(96,k4_xcmplx_0(3)) = k4_xcmplx_0(288) )).
fof(rqRealMult__k3_xcmplx_0__r97_r3_r291,axiom,( k3_xcmplx_0(97,3) = 291 )).
fof(rqRealMult__k3_xcmplx_0__r98_r1_r98,axiom,( k3_xcmplx_0(98,1) = 98 )).
fof(rqRealMult__k3_xcmplx_0__r9_crm3r0_crm27r0,axiom,( k3_xcmplx_0(9,k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(27),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r9_crn3d2r0_crn27d2r0,axiom,( k3_xcmplx_0(9,k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r9_crnm3d2r0_crnm27d2r0,axiom,( k3_xcmplx_0(9,k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__r9_r0_r0,axiom,( k3_xcmplx_0(9,0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__r9_r10_r90,axiom,( k3_xcmplx_0(9,10) = 90 )).
fof(rqRealMult__k3_xcmplx_0__r9_r11_r99,axiom,( k3_xcmplx_0(9,11) = 99 )).
fof(rqRealMult__k3_xcmplx_0__r9_r12_r108,axiom,( k3_xcmplx_0(9,12) = 108 )).
fof(rqRealMult__k3_xcmplx_0__r9_r13_r117,axiom,( k3_xcmplx_0(9,13) = 117 )).
fof(rqRealMult__k3_xcmplx_0__r9_r16_r144,axiom,( k3_xcmplx_0(9,16) = 144 )).
fof(rqRealMult__k3_xcmplx_0__r9_r17_r153,axiom,( k3_xcmplx_0(9,17) = 153 )).
fof(rqRealMult__k3_xcmplx_0__r9_r1_r9,axiom,( k3_xcmplx_0(9,1) = 9 )).
fof(rqRealMult__k3_xcmplx_0__r9_r25_r225,axiom,( k3_xcmplx_0(9,25) = 225 )).
fof(rqRealMult__k3_xcmplx_0__r9_r2_r18,axiom,( k3_xcmplx_0(9,2) = 18 )).
fof(rqRealMult__k3_xcmplx_0__r9_r3_r27,axiom,( k3_xcmplx_0(9,3) = 27 )).
fof(rqRealMult__k3_xcmplx_0__r9_r4_r36,axiom,( k3_xcmplx_0(9,4) = 36 )).
fof(rqRealMult__k3_xcmplx_0__r9_r5_r45,axiom,( k3_xcmplx_0(9,5) = 45 )).
fof(rqRealMult__k3_xcmplx_0__r9_r6_r54,axiom,( k3_xcmplx_0(9,6) = 54 )).
fof(rqRealMult__k3_xcmplx_0__r9_r7_r63,axiom,( k3_xcmplx_0(9,7) = 63 )).
fof(rqRealMult__k3_xcmplx_0__r9_r8_r72,axiom,( k3_xcmplx_0(9,8) = 72 )).
fof(rqRealMult__k3_xcmplx_0__r9_r9_r81,axiom,( k3_xcmplx_0(9,9) = 81 )).
fof(rqRealMult__k3_xcmplx_0__r9_rm12_rm108,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(12)) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm13_rm117,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(13)) = k4_xcmplx_0(117) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm16_rm144,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(16)) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm2_rm18,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(2)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm3_rm27,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(3)) = k4_xcmplx_0(27) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm4_rm36,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(4)) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm5_rm45,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(5)) = k4_xcmplx_0(45) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm6_rm54,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(6)) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm8_rm72,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(8)) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__r9_rm9_rm81,axiom,( k3_xcmplx_0(9,k4_xcmplx_0(9)) = k4_xcmplx_0(81) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d10_rn9d10,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,10)) = k7_xcmplx_0(9,10) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d16_rn9d16,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,16)) = k7_xcmplx_0(9,16) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d18_rn1d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,18)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d2_rn9d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,2)) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d3_r3,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,3)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d4_rn9d4,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,4)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d5_rn9d5,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,5)) = k7_xcmplx_0(9,5) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d8_rn9d8,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,8)) = k7_xcmplx_0(9,8) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn1d9_r1,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(1,9)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__r9_rn20d9_r20,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(20,9)) = 20 )).
fof(rqRealMult__k3_xcmplx_0__r9_rn2d5_rn18d5,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(2,5)) = k7_xcmplx_0(18,5) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn3d2_rn27d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(3,2)) = k7_xcmplx_0(27,2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rn7d18_rn7d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(7,18)) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm1d16_rnm9d16,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm1d18_rnm1d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm1d2_rnm9d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm1d3_rm3,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm1d4_rnm9d4,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm1d8_rnm9d8,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm1d9_rm1,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(1),9)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm2d5_rnm18d5,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(18),5) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm2d9_rm2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(2),9)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm3d2_rnm27d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(27),2) )).
fof(rqRealMult__k3_xcmplx_0__r9_rnm5d2_rnm45d2,axiom,( k3_xcmplx_0(9,k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(k4_xcmplx_0(45),2) )).
fof(rqRealMult__k3_xcmplx_0__rm100_r1_rm100,axiom,( k3_xcmplx_0(k4_xcmplx_0(100),1) = k4_xcmplx_0(100) )).
fof(rqRealMult__k3_xcmplx_0__rm101_r1_rm101,axiom,( k3_xcmplx_0(k4_xcmplx_0(101),1) = k4_xcmplx_0(101) )).
fof(rqRealMult__k3_xcmplx_0__rm102_r1_rm102,axiom,( k3_xcmplx_0(k4_xcmplx_0(102),1) = k4_xcmplx_0(102) )).
fof(rqRealMult__k3_xcmplx_0__rm103_r1_rm103,axiom,( k3_xcmplx_0(k4_xcmplx_0(103),1) = k4_xcmplx_0(103) )).
fof(rqRealMult__k3_xcmplx_0__rm104_r1_rm104,axiom,( k3_xcmplx_0(k4_xcmplx_0(104),1) = k4_xcmplx_0(104) )).
fof(rqRealMult__k3_xcmplx_0__rm105_r1_rm105,axiom,( k3_xcmplx_0(k4_xcmplx_0(105),1) = k4_xcmplx_0(105) )).
fof(rqRealMult__k3_xcmplx_0__rm106_r1_rm106,axiom,( k3_xcmplx_0(k4_xcmplx_0(106),1) = k4_xcmplx_0(106) )).
fof(rqRealMult__k3_xcmplx_0__rm108_r1_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(108),1) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm108_rm2_r216,axiom,( k3_xcmplx_0(k4_xcmplx_0(108),k4_xcmplx_0(2)) = 216 )).
fof(rqRealMult__k3_xcmplx_0__rm10_crn3d2r0_crm15r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(15),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm10_crnm3d2r0_cr15r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(15,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm10_r13_rm130,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),13) = k4_xcmplx_0(130) )).
fof(rqRealMult__k3_xcmplx_0__rm10_r1_rm10,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),1) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__rm10_r2_rm20,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),2) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__rm10_r3_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),3) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm10_r8_rm80,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),8) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rm2_r20,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(2)) = 20 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rm3_r30,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(3)) = 30 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rm6_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(6)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rm8_r80,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k4_xcmplx_0(8)) = 80 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn1d10_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(1,10)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn1d2_rm5,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(1,2)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn1d4_rnm5d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn1d5_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(1,5)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn2d5_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(2,5)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn3d2_rm15,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(3,2)) = k4_xcmplx_0(15) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn4d5_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(4,5)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rn5d2_rm25,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(5,2)) = k4_xcmplx_0(25) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm12d5_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(12),5)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm1d16_rn5d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(5,8) )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm1d2_r5,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm1d5_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(1),5)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm2d5_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm36d5_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(36),5)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm3d2_r15,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 15 )).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm5d2_r25,axiom,( k3_xcmplx_0(k4_xcmplx_0(10),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 25 )).
fof(rqRealMult__k3_xcmplx_0__rm110_r1_rm110,axiom,( k3_xcmplx_0(k4_xcmplx_0(110),1) = k4_xcmplx_0(110) )).
fof(rqRealMult__k3_xcmplx_0__rm114_r1_rm114,axiom,( k3_xcmplx_0(k4_xcmplx_0(114),1) = k4_xcmplx_0(114) )).
fof(rqRealMult__k3_xcmplx_0__rm114_r3_rm342,axiom,( k3_xcmplx_0(k4_xcmplx_0(114),3) = k4_xcmplx_0(342) )).
fof(rqRealMult__k3_xcmplx_0__rm114_rm3_r342,axiom,( k3_xcmplx_0(k4_xcmplx_0(114),k4_xcmplx_0(3)) = 342 )).
fof(rqRealMult__k3_xcmplx_0__rm116_r1_rm116,axiom,( k3_xcmplx_0(k4_xcmplx_0(116),1) = k4_xcmplx_0(116) )).
fof(rqRealMult__k3_xcmplx_0__rm118_r1_rm118,axiom,( k3_xcmplx_0(k4_xcmplx_0(118),1) = k4_xcmplx_0(118) )).
fof(rqRealMult__k3_xcmplx_0__rm11_r1_rm11,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),1) = k4_xcmplx_0(11) )).
fof(rqRealMult__k3_xcmplx_0__rm11_r2_rm22,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),2) = k4_xcmplx_0(22) )).
fof(rqRealMult__k3_xcmplx_0__rm11_r3_rm33,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),3) = k4_xcmplx_0(33) )).
fof(rqRealMult__k3_xcmplx_0__rm11_r9_rm99,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),9) = k4_xcmplx_0(99) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rm2_r22,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(2)) = 22 )).
fof(rqRealMult__k3_xcmplx_0__rm11_rm3_r33,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k4_xcmplx_0(3)) = 33 )).
fof(rqRealMult__k3_xcmplx_0__rm11_rn1d10_rnm11d10,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(11),10) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rn1d2_rnm11d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rn1d4_rnm11d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rn1d5_rnm11d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(11),5) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rn2d5_rnm22d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(22),5) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm1d16_rn11d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(11,16) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm1d2_rn11d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(11,2) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm2d5_rn22d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(22,5) )).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm5d2_rn55d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(11),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(55,2) )).
fof(rqRealMult__k3_xcmplx_0__rm120_r1_rm120,axiom,( k3_xcmplx_0(k4_xcmplx_0(120),1) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__rm124_r1_rm124,axiom,( k3_xcmplx_0(k4_xcmplx_0(124),1) = k4_xcmplx_0(124) )).
fof(rqRealMult__k3_xcmplx_0__rm126_r1_rm126,axiom,( k3_xcmplx_0(k4_xcmplx_0(126),1) = k4_xcmplx_0(126) )).
fof(rqRealMult__k3_xcmplx_0__rm126_rm2_r252,axiom,( k3_xcmplx_0(k4_xcmplx_0(126),k4_xcmplx_0(2)) = 252 )).
fof(rqRealMult__k3_xcmplx_0__rm128_r1_rm128,axiom,( k3_xcmplx_0(k4_xcmplx_0(128),1) = k4_xcmplx_0(128) )).
fof(rqRealMult__k3_xcmplx_0__rm128_rm4_r512,axiom,( k3_xcmplx_0(k4_xcmplx_0(128),k4_xcmplx_0(4)) = 512 )).
fof(rqRealMult__k3_xcmplx_0__rm128_rn3d64_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(128),k7_xcmplx_0(3,64)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm128_rnm1d4_r32,axiom,( k3_xcmplx_0(k4_xcmplx_0(128),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 32 )).
fof(rqRealMult__k3_xcmplx_0__rm12_r16_rm192,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),16) = k4_xcmplx_0(192) )).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),1) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm12_r2_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),2) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm12_r3_rm36,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),3) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__rm12_r4_rm48,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),4) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__rm12_r6_rm72,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),6) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__rm12_r9_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),9) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rm2_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(2)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm12_rm3_r36,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(3)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rm12_rm4_r48,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(4)) = 48 )).
fof(rqRealMult__k3_xcmplx_0__rm12_rm6_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(6)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm12_rm9_r108,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k4_xcmplx_0(9)) = 108 )).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d16_rnm3d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d24_rnm1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d2_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,2)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d4_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,4)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d6_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,6)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d8_rnm3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rn2d3_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(2,3)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d16_rn3d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d2_r6,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d6_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(1),6)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d8_rn3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm2d3_r8,axiom,( k3_xcmplx_0(k4_xcmplx_0(12),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rm130_r1_rm130,axiom,( k3_xcmplx_0(k4_xcmplx_0(130),1) = k4_xcmplx_0(130) )).
fof(rqRealMult__k3_xcmplx_0__rm132_r1_rm132,axiom,( k3_xcmplx_0(k4_xcmplx_0(132),1) = k4_xcmplx_0(132) )).
fof(rqRealMult__k3_xcmplx_0__rm136_r1_rm136,axiom,( k3_xcmplx_0(k4_xcmplx_0(136),1) = k4_xcmplx_0(136) )).
fof(rqRealMult__k3_xcmplx_0__rm138_r1_rm138,axiom,( k3_xcmplx_0(k4_xcmplx_0(138),1) = k4_xcmplx_0(138) )).
fof(rqRealMult__k3_xcmplx_0__rm13_r13_rm169,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),13) = k4_xcmplx_0(169) )).
fof(rqRealMult__k3_xcmplx_0__rm13_r1_rm13,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),1) = k4_xcmplx_0(13) )).
fof(rqRealMult__k3_xcmplx_0__rm13_r2_rm26,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),2) = k4_xcmplx_0(26) )).
fof(rqRealMult__k3_xcmplx_0__rm13_r3_rm39,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),3) = k4_xcmplx_0(39) )).
fof(rqRealMult__k3_xcmplx_0__rm13_r8_rm104,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),8) = k4_xcmplx_0(104) )).
fof(rqRealMult__k3_xcmplx_0__rm13_rm13_r169,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(13)) = 169 )).
fof(rqRealMult__k3_xcmplx_0__rm13_rm2_r26,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(2)) = 26 )).
fof(rqRealMult__k3_xcmplx_0__rm13_rm3_r39,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(3)) = 39 )).
fof(rqRealMult__k3_xcmplx_0__rm13_rm6_r78,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(6)) = 78 )).
fof(rqRealMult__k3_xcmplx_0__rm13_rm8_r104,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),k4_xcmplx_0(8)) = 104 )).
fof(rqRealMult__k3_xcmplx_0__rm13_rn1d4_rnm13d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealMult__k3_xcmplx_0__rm13_rnm1d16_rn13d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(13),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(13,16) )).
fof(rqRealMult__k3_xcmplx_0__rm140_r1_rm140,axiom,( k3_xcmplx_0(k4_xcmplx_0(140),1) = k4_xcmplx_0(140) )).
fof(rqRealMult__k3_xcmplx_0__rm143_r1_rm143,axiom,( k3_xcmplx_0(k4_xcmplx_0(143),1) = k4_xcmplx_0(143) )).
fof(rqRealMult__k3_xcmplx_0__rm144_r1_rm144,axiom,( k3_xcmplx_0(k4_xcmplx_0(144),1) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__rm147_r1_rm147,axiom,( k3_xcmplx_0(k4_xcmplx_0(147),1) = k4_xcmplx_0(147) )).
fof(rqRealMult__k3_xcmplx_0__rm14_r13_rm182,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),13) = k4_xcmplx_0(182) )).
fof(rqRealMult__k3_xcmplx_0__rm14_r1_rm14,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),1) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__rm14_r2_rm28,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),2) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__rm14_r3_rm42,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),3) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__rm14_r4_rm56,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),4) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__rm14_r8_rm112,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),8) = k4_xcmplx_0(112) )).
fof(rqRealMult__k3_xcmplx_0__rm14_rm2_r28,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(2)) = 28 )).
fof(rqRealMult__k3_xcmplx_0__rm14_rm3_r42,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(3)) = 42 )).
fof(rqRealMult__k3_xcmplx_0__rm14_rm6_r84,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(6)) = 84 )).
fof(rqRealMult__k3_xcmplx_0__rm14_rm8_r112,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),k4_xcmplx_0(8)) = 112 )).
fof(rqRealMult__k3_xcmplx_0__rm14_rn1d4_rnm7d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__rm14_rnm1d16_rn7d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(14),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(7,8) )).
fof(rqRealMult__k3_xcmplx_0__rm150_r1_rm150,axiom,( k3_xcmplx_0(k4_xcmplx_0(150),1) = k4_xcmplx_0(150) )).
fof(rqRealMult__k3_xcmplx_0__rm158_r1_rm158,axiom,( k3_xcmplx_0(k4_xcmplx_0(158),1) = k4_xcmplx_0(158) )).
fof(rqRealMult__k3_xcmplx_0__rm15_r13_rm195,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),13) = k4_xcmplx_0(195) )).
fof(rqRealMult__k3_xcmplx_0__rm15_r1_rm15,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),1) = k4_xcmplx_0(15) )).
fof(rqRealMult__k3_xcmplx_0__rm15_r2_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),2) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm15_r3_rm45,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),3) = k4_xcmplx_0(45) )).
fof(rqRealMult__k3_xcmplx_0__rm15_r4_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),4) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm15_r8_rm120,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),8) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__rm15_r9_rm135,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),9) = k4_xcmplx_0(135) )).
fof(rqRealMult__k3_xcmplx_0__rm15_rm2_r30,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(2)) = 30 )).
fof(rqRealMult__k3_xcmplx_0__rm15_rm3_r45,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(3)) = 45 )).
fof(rqRealMult__k3_xcmplx_0__rm15_rm6_r90,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(6)) = 90 )).
fof(rqRealMult__k3_xcmplx_0__rm15_rm8_r120,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(8)) = 120 )).
fof(rqRealMult__k3_xcmplx_0__rm15_rm9_r135,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k4_xcmplx_0(9)) = 135 )).
fof(rqRealMult__k3_xcmplx_0__rm15_rn1d16_rnm15d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(15),16) )).
fof(rqRealMult__k3_xcmplx_0__rm15_rn1d2_rnm15d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealMult__k3_xcmplx_0__rm15_rn1d4_rnm15d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealMult__k3_xcmplx_0__rm15_rn1d8_rnm15d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(15),8) )).
fof(rqRealMult__k3_xcmplx_0__rm15_rnm1d16_rn15d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(15,16) )).
fof(rqRealMult__k3_xcmplx_0__rm15_rnm1d8_rn15d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(15),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(15,8) )).
fof(rqRealMult__k3_xcmplx_0__rm160_r1_rm160,axiom,( k3_xcmplx_0(k4_xcmplx_0(160),1) = k4_xcmplx_0(160) )).
fof(rqRealMult__k3_xcmplx_0__rm162_r1_rm162,axiom,( k3_xcmplx_0(k4_xcmplx_0(162),1) = k4_xcmplx_0(162) )).
fof(rqRealMult__k3_xcmplx_0__rm166_r1_rm166,axiom,( k3_xcmplx_0(k4_xcmplx_0(166),1) = k4_xcmplx_0(166) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r13_rm208,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),13) = k4_xcmplx_0(208) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r16_rm256,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),16) = k4_xcmplx_0(256) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r1_rm16,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),1) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r2_rm32,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),2) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r3_rm48,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),3) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r48_rm768,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),48) = k4_xcmplx_0(768) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r5_rm80,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),5) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__rm16_r8_rm128,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),8) = k4_xcmplx_0(128) )).
fof(rqRealMult__k3_xcmplx_0__rm16_rm12_r192,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(12)) = 192 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rm2_r32,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(2)) = 32 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rm3_r48,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(3)) = 48 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rm6_r96,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(6)) = 96 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rm8_r128,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k4_xcmplx_0(8)) = 128 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rn1d16_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,16)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm16_rn1d2_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,2)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm16_rn1d4_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,4)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm16_rn1d64_rnm1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rm16_rn1d8_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(1,8)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm16_rnm1d16_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),16)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rnm1d2_r8,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rnm1d4_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm16_rnm1d8_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm170_r1_rm170,axiom,( k3_xcmplx_0(k4_xcmplx_0(170),1) = k4_xcmplx_0(170) )).
fof(rqRealMult__k3_xcmplx_0__rm178_r1_rm178,axiom,( k3_xcmplx_0(k4_xcmplx_0(178),1) = k4_xcmplx_0(178) )).
fof(rqRealMult__k3_xcmplx_0__rm17_r1_rm17,axiom,( k3_xcmplx_0(k4_xcmplx_0(17),1) = k4_xcmplx_0(17) )).
fof(rqRealMult__k3_xcmplx_0__rm17_rm2_r34,axiom,( k3_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(2)) = 34 )).
fof(rqRealMult__k3_xcmplx_0__rm17_rm3_r51,axiom,( k3_xcmplx_0(k4_xcmplx_0(17),k4_xcmplx_0(3)) = 51 )).
fof(rqRealMult__k3_xcmplx_0__rm17_rn1d4_rnm17d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(17),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealMult__k3_xcmplx_0__rm17_rnm1d16_rn17d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(17),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(17,16) )).
fof(rqRealMult__k3_xcmplx_0__rm180_r1_rm180,axiom,( k3_xcmplx_0(k4_xcmplx_0(180),1) = k4_xcmplx_0(180) )).
fof(rqRealMult__k3_xcmplx_0__rm186_r1_rm186,axiom,( k3_xcmplx_0(k4_xcmplx_0(186),1) = k4_xcmplx_0(186) )).
fof(rqRealMult__k3_xcmplx_0__rm18_r1_rm18,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),1) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__rm18_r2_rm36,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),2) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__rm18_r3_rm54,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),3) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__rm18_r4_rm72,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),4) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__rm18_r6_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),6) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm18_r9_rm162,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),9) = k4_xcmplx_0(162) )).
fof(rqRealMult__k3_xcmplx_0__rm18_rm2_r36,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(2)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rm18_rm3_r54,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(3)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rm18_rm4_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(4)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm18_rm6_r108,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(6)) = 108 )).
fof(rqRealMult__k3_xcmplx_0__rm18_rm9_r162,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),k4_xcmplx_0(9)) = 162 )).
fof(rqRealMult__k3_xcmplx_0__rm18_rn1d4_rnm9d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__rm18_rnm1d16_rn9d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(18),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(9,8) )).
fof(rqRealMult__k3_xcmplx_0__rm192_r1_rm192,axiom,( k3_xcmplx_0(k4_xcmplx_0(192),1) = k4_xcmplx_0(192) )).
fof(rqRealMult__k3_xcmplx_0__rm193_r1_rm193,axiom,( k3_xcmplx_0(k4_xcmplx_0(193),1) = k4_xcmplx_0(193) )).
fof(rqRealMult__k3_xcmplx_0__rm194_r1_rm194,axiom,( k3_xcmplx_0(k4_xcmplx_0(194),1) = k4_xcmplx_0(194) )).
fof(rqRealMult__k3_xcmplx_0__rm198_r1_rm198,axiom,( k3_xcmplx_0(k4_xcmplx_0(198),1) = k4_xcmplx_0(198) )).
fof(rqRealMult__k3_xcmplx_0__rm19_r1_rm19,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),1) = k4_xcmplx_0(19) )).
fof(rqRealMult__k3_xcmplx_0__rm19_r3_rm57,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),3) = k4_xcmplx_0(57) )).
fof(rqRealMult__k3_xcmplx_0__rm19_rm2_r38,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),k4_xcmplx_0(2)) = 38 )).
fof(rqRealMult__k3_xcmplx_0__rm19_rn1d18_rnm19d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(19),18) )).
fof(rqRealMult__k3_xcmplx_0__rm19_rn1d3_rnm19d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(19),3) )).
fof(rqRealMult__k3_xcmplx_0__rm19_rn7d18_rnm133d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(133),18) )).
fof(rqRealMult__k3_xcmplx_0__rm19_rnm1d18_rn19d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(19,18) )).
fof(rqRealMult__k3_xcmplx_0__rm19_rnm1d3_rn19d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(19),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(19,3) )).
fof(rqRealMult__k3_xcmplx_0__rm200_r1_rm200,axiom,( k3_xcmplx_0(k4_xcmplx_0(200),1) = k4_xcmplx_0(200) )).
fof(rqRealMult__k3_xcmplx_0__rm20_r1_rm20,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),1) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__rm20_r3_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),3) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm20_rm2_r40,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(2)) = 40 )).
fof(rqRealMult__k3_xcmplx_0__rm20_rm3_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k4_xcmplx_0(3)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm20_rn1d10_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(1,10)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm20_rn1d4_rm5,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(1,4)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rm20_rn1d5_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(1,5)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm20_rn2d5_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(2,5)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm20_rn5d2_rm50,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(5,2)) = k4_xcmplx_0(50) )).
fof(rqRealMult__k3_xcmplx_0__rm20_rnm1d16_rn5d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rm20_rnm1d2_r10,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 10 )).
fof(rqRealMult__k3_xcmplx_0__rm20_rnm1d5_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(k4_xcmplx_0(1),5)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm20_rnm2d5_r8,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rm20_rnm5d2_r50,axiom,( k3_xcmplx_0(k4_xcmplx_0(20),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 50 )).
fof(rqRealMult__k3_xcmplx_0__rm210_r1_rm210,axiom,( k3_xcmplx_0(k4_xcmplx_0(210),1) = k4_xcmplx_0(210) )).
fof(rqRealMult__k3_xcmplx_0__rm212_r1_rm212,axiom,( k3_xcmplx_0(k4_xcmplx_0(212),1) = k4_xcmplx_0(212) )).
fof(rqRealMult__k3_xcmplx_0__rm214_r1_rm214,axiom,( k3_xcmplx_0(k4_xcmplx_0(214),1) = k4_xcmplx_0(214) )).
fof(rqRealMult__k3_xcmplx_0__rm21_r1_rm21,axiom,( k3_xcmplx_0(k4_xcmplx_0(21),1) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__rm21_rn1d2_rnm21d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(21),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealMult__k3_xcmplx_0__rm21_rn1d4_rnm21d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(21),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealMult__k3_xcmplx_0__rm21_rnm1d16_rn21d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(21),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(21,16) )).
fof(rqRealMult__k3_xcmplx_0__rm228_r1_rm228,axiom,( k3_xcmplx_0(k4_xcmplx_0(228),1) = k4_xcmplx_0(228) )).
fof(rqRealMult__k3_xcmplx_0__rm22_r1_rm22,axiom,( k3_xcmplx_0(k4_xcmplx_0(22),1) = k4_xcmplx_0(22) )).
fof(rqRealMult__k3_xcmplx_0__rm22_r3_rm66,axiom,( k3_xcmplx_0(k4_xcmplx_0(22),3) = k4_xcmplx_0(66) )).
fof(rqRealMult__k3_xcmplx_0__rm22_rm2_r44,axiom,( k3_xcmplx_0(k4_xcmplx_0(22),k4_xcmplx_0(2)) = 44 )).
fof(rqRealMult__k3_xcmplx_0__rm232_r1_rm232,axiom,( k3_xcmplx_0(k4_xcmplx_0(232),1) = k4_xcmplx_0(232) )).
fof(rqRealMult__k3_xcmplx_0__rm23_r1_rm23,axiom,( k3_xcmplx_0(k4_xcmplx_0(23),1) = k4_xcmplx_0(23) )).
fof(rqRealMult__k3_xcmplx_0__rm23_rm3_r69,axiom,( k3_xcmplx_0(k4_xcmplx_0(23),k4_xcmplx_0(3)) = 69 )).
fof(rqRealMult__k3_xcmplx_0__rm240_r1_rm240,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),1) = k4_xcmplx_0(240) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn119d240_rm119,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(119,240)) = k4_xcmplx_0(119) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn1d10_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(1,10)) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn1d240_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(1,240)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn1d2_rm120,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(1,2)) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn1d60_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(1,60)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn1d80_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(1,80)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn1d8_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(1,8)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rn59d60_rm236,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(59,60)) = k4_xcmplx_0(236) )).
fof(rqRealMult__k3_xcmplx_0__rm240_rnm1d10_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(k4_xcmplx_0(1),10)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm240_rnm1d40_r6,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(k4_xcmplx_0(1),40)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rm240_rnm1d80_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(240),k7_xcmplx_0(k4_xcmplx_0(1),80)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm241_r1_rm241,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),1) = k4_xcmplx_0(241) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rn1d10_rnm241d10,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(241),10) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rn1d240_rnm241d240,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(1,240)) = k7_xcmplx_0(k4_xcmplx_0(241),240) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rn1d2_rnm241d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(241),2) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rn1d60_rnm241d60,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(1,60)) = k7_xcmplx_0(k4_xcmplx_0(241),60) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rn1d80_rnm241d80,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(241),80) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rn1d8_rnm241d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(241),8) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rnm1d10_rn241d10,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(241,10) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rnm1d40_rn241d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(241,40) )).
fof(rqRealMult__k3_xcmplx_0__rm241_rnm1d80_rn241d80,axiom,( k3_xcmplx_0(k4_xcmplx_0(241),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(241,80) )).
fof(rqRealMult__k3_xcmplx_0__rm242_r1_rm242,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),1) = k4_xcmplx_0(242) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rn1d10_rnm121d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(121),5) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rn1d240_rnm121d120,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(1,240)) = k7_xcmplx_0(k4_xcmplx_0(121),120) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rn1d2_rm121,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(1,2)) = k4_xcmplx_0(121) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rn1d60_rnm121d30,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(1,60)) = k7_xcmplx_0(k4_xcmplx_0(121),30) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rn1d80_rnm121d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(121),40) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rn1d8_rnm121d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(121),4) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rnm1d10_rn121d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(121,5) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rnm1d40_rn121d20,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(121,20) )).
fof(rqRealMult__k3_xcmplx_0__rm242_rnm1d80_rn121d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(242),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(121,40) )).
fof(rqRealMult__k3_xcmplx_0__rm243_r1_rm243,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),1) = k4_xcmplx_0(243) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rn1d10_rnm243d10,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(243),10) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rn1d240_rnm81d80,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(1,240)) = k7_xcmplx_0(k4_xcmplx_0(81),80) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rn1d2_rnm243d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(243),2) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rn1d60_rnm81d20,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(1,60)) = k7_xcmplx_0(k4_xcmplx_0(81),20) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rn1d80_rnm243d80,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(243),80) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rn1d8_rnm243d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(243),8) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rnm1d10_rn243d10,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(243,10) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rnm1d40_rn243d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(243,40) )).
fof(rqRealMult__k3_xcmplx_0__rm243_rnm1d80_rn243d80,axiom,( k3_xcmplx_0(k4_xcmplx_0(243),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(243,80) )).
fof(rqRealMult__k3_xcmplx_0__rm246_r1_rm246,axiom,( k3_xcmplx_0(k4_xcmplx_0(246),1) = k4_xcmplx_0(246) )).
fof(rqRealMult__k3_xcmplx_0__rm24_r1_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),1) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm24_r3_rm72,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),3) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__rm24_r6_rm144,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),6) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__rm24_rm2_r48,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(2)) = 48 )).
fof(rqRealMult__k3_xcmplx_0__rm24_rm3_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(3)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm24_rm4_r96,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k4_xcmplx_0(4)) = 96 )).
fof(rqRealMult__k3_xcmplx_0__rm24_rn1d24_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(1,24)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm24_rn1d4_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(1,4)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm24_rn1d6_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(1,6)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm24_rn2d3_rm16,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(2,3)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rm24_rnm1d16_rn3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rm24_rnm1d24_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(1),24)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm24_rnm1d6_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(1),6)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm24_rnm2d3_r16,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__rm24_rnm4d3_r32,axiom,( k3_xcmplx_0(k4_xcmplx_0(24),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 32 )).
fof(rqRealMult__k3_xcmplx_0__rm250_r1_rm250,axiom,( k3_xcmplx_0(k4_xcmplx_0(250),1) = k4_xcmplx_0(250) )).
fof(rqRealMult__k3_xcmplx_0__rm252_r1_rm252,axiom,( k3_xcmplx_0(k4_xcmplx_0(252),1) = k4_xcmplx_0(252) )).
fof(rqRealMult__k3_xcmplx_0__rm255_r1_rm255,axiom,( k3_xcmplx_0(k4_xcmplx_0(255),1) = k4_xcmplx_0(255) )).
fof(rqRealMult__k3_xcmplx_0__rm255_r2_rm510,axiom,( k3_xcmplx_0(k4_xcmplx_0(255),2) = k4_xcmplx_0(510) )).
fof(rqRealMult__k3_xcmplx_0__rm255_rn1d16_rnm255d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(255),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(255),16) )).
fof(rqRealMult__k3_xcmplx_0__rm255_rnm1d4_rn255d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(255),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(255,4) )).
fof(rqRealMult__k3_xcmplx_0__rm255_rnm3d256_rn765d256,axiom,( k3_xcmplx_0(k4_xcmplx_0(255),k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(765,256) )).
fof(rqRealMult__k3_xcmplx_0__rm256_r1_rm256,axiom,( k3_xcmplx_0(k4_xcmplx_0(256),1) = k4_xcmplx_0(256) )).
fof(rqRealMult__k3_xcmplx_0__rm256_r2_rm512,axiom,( k3_xcmplx_0(k4_xcmplx_0(256),2) = k4_xcmplx_0(512) )).
fof(rqRealMult__k3_xcmplx_0__rm256_rn1d16_rm16,axiom,( k3_xcmplx_0(k4_xcmplx_0(256),k7_xcmplx_0(1,16)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rm256_rnm1d4_r64,axiom,( k3_xcmplx_0(k4_xcmplx_0(256),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 64 )).
fof(rqRealMult__k3_xcmplx_0__rm256_rnm3d256_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(256),k7_xcmplx_0(k4_xcmplx_0(3),256)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm258_r1_rm258,axiom,( k3_xcmplx_0(k4_xcmplx_0(258),1) = k4_xcmplx_0(258) )).
fof(rqRealMult__k3_xcmplx_0__rm25_r1_rm25,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),1) = k4_xcmplx_0(25) )).
fof(rqRealMult__k3_xcmplx_0__rm25_r3_rm75,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),3) = k4_xcmplx_0(75) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rm3_r75,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k4_xcmplx_0(3)) = 75 )).
fof(rqRealMult__k3_xcmplx_0__rm25_rn1d18_rnm25d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(25),18) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rn1d3_rnm25d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(25),3) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rn1d4_rnm25d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rn4d25_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(4,25)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rn7d18_rnm175d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(175),18) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm1d16_rn25d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(25,16) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm1d18_rn25d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(25,18) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm1d25_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(1),25)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm1d3_rn25d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(25,3) )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm2d25_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(2),25)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm2d5_r10,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 10 )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm4d25_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(4),25)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm25_rnm641d25_r641,axiom,( k3_xcmplx_0(k4_xcmplx_0(25),k7_xcmplx_0(k4_xcmplx_0(641),25)) = 641 )).
fof(rqRealMult__k3_xcmplx_0__rm261_r1_rm261,axiom,( k3_xcmplx_0(k4_xcmplx_0(261),1) = k4_xcmplx_0(261) )).
fof(rqRealMult__k3_xcmplx_0__rm26_r1_rm26,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),1) = k4_xcmplx_0(26) )).
fof(rqRealMult__k3_xcmplx_0__rm26_r2_rm52,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),2) = k4_xcmplx_0(52) )).
fof(rqRealMult__k3_xcmplx_0__rm26_r3_rm78,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),3) = k4_xcmplx_0(78) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rm2_r52,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(2)) = 52 )).
fof(rqRealMult__k3_xcmplx_0__rm26_rm3_r78,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k4_xcmplx_0(3)) = 78 )).
fof(rqRealMult__k3_xcmplx_0__rm26_rn1d18_rnm13d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(13),9) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rn1d3_rnm26d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rn1d4_rnm13d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rn2d27_rnm52d27,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(52),27) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rn7d18_rnm91d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(91),9) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rnm1d16_rn13d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(13,8) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rnm1d18_rn13d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(13,9) )).
fof(rqRealMult__k3_xcmplx_0__rm26_rnm1d3_rn26d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(26),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(26,3) )).
fof(rqRealMult__k3_xcmplx_0__rm270_r1_rm270,axiom,( k3_xcmplx_0(k4_xcmplx_0(270),1) = k4_xcmplx_0(270) )).
fof(rqRealMult__k3_xcmplx_0__rm27_crm2r0_cr54r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(54,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm27_r1_rm27,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),1) = k4_xcmplx_0(27) )).
fof(rqRealMult__k3_xcmplx_0__rm27_r2_rm54,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),2) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__rm27_r3_rm81,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),3) = k4_xcmplx_0(81) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rm2_r54,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(2)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rm27_rm3_r81,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k4_xcmplx_0(3)) = 81 )).
fof(rqRealMult__k3_xcmplx_0__rm27_rn1d18_rnm3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rn1d3_rm9,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(1,3)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rn1d4_rnm27d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(27),4) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rn2d27_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(2,27)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rn7d18_rnm21d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rnm1d16_rn27d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(27,16) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rnm1d18_rn3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rm27_rnm1d3_r9,axiom,( k3_xcmplx_0(k4_xcmplx_0(27),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 9 )).
fof(rqRealMult__k3_xcmplx_0__rm280_r1_rm280,axiom,( k3_xcmplx_0(k4_xcmplx_0(280),1) = k4_xcmplx_0(280) )).
fof(rqRealMult__k3_xcmplx_0__rm288_r1_rm288,axiom,( k3_xcmplx_0(k4_xcmplx_0(288),1) = k4_xcmplx_0(288) )).
fof(rqRealMult__k3_xcmplx_0__rm28_crm2r0_cr56r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(56,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm28_r13_rm364,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),13) = k4_xcmplx_0(364) )).
fof(rqRealMult__k3_xcmplx_0__rm28_r1_rm28,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),1) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__rm28_r2_rm56,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),2) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__rm28_r8_rm224,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),8) = k4_xcmplx_0(224) )).
fof(rqRealMult__k3_xcmplx_0__rm28_rm2_r56,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(2)) = 56 )).
fof(rqRealMult__k3_xcmplx_0__rm28_rm6_r168,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(6)) = 168 )).
fof(rqRealMult__k3_xcmplx_0__rm28_rm8_r224,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k4_xcmplx_0(8)) = 224 )).
fof(rqRealMult__k3_xcmplx_0__rm28_rn1d18_rnm14d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(14),9) )).
fof(rqRealMult__k3_xcmplx_0__rm28_rn1d3_rnm28d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(28),3) )).
fof(rqRealMult__k3_xcmplx_0__rm28_rn2d27_rnm56d27,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(56),27) )).
fof(rqRealMult__k3_xcmplx_0__rm28_rn7d18_rnm98d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(98),9) )).
fof(rqRealMult__k3_xcmplx_0__rm28_rnm1d18_rn14d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(14,9) )).
fof(rqRealMult__k3_xcmplx_0__rm28_rnm1d3_rn28d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(28),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(28,3) )).
fof(rqRealMult__k3_xcmplx_0__rm29_r1_rm29,axiom,( k3_xcmplx_0(k4_xcmplx_0(29),1) = k4_xcmplx_0(29) )).
fof(rqRealMult__k3_xcmplx_0__rm29_rm3_r87,axiom,( k3_xcmplx_0(k4_xcmplx_0(29),k4_xcmplx_0(3)) = 87 )).
fof(rqRealMult__k3_xcmplx_0__rm2_cr1r0_crm2r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_cr2r0_crm4r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_cr4r0_crm8r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crm1r0_cr2r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crm2r0_cr4r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crm4r0_cr8r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(8,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crn1d2r0_crm1r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crn1d2rnm1d2_crm1r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crn3d2r0_crm3r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crnm1d2r0_cr1r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rm2_crnm1d2rnm1d2_cr1r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crnm1d4r0_crn1d2r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_crnm3d2r0_cr3r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__rm2_r10_rm20,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),10) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r12_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),12) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r13_rm26,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),13) = k4_xcmplx_0(26) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r15_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),15) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r16_rm32,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),16) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r27_rm54,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),27) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r2_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),2) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r32_rm64,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),32) = k4_xcmplx_0(64) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r3_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),3) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r4_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),4) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r5_rm10,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),5) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r6_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),6) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r7_rm14,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),7) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r8_rm16,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),8) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rm2_r9_rm18,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),9) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm10_r20,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(10)) = 20 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm11_r22,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(11)) = 22 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm12_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(12)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm13_r26,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(13)) = 26 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm16_r32,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(16)) = 32 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm27_r54,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(27)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm2_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm30_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(30)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm3_r6,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(3)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm4_r8,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(4)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm5_r10,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(5)) = 10 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm6_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(6)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm7_r14,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(7)) = 14 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm8_r16,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(8)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rm9_r18,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(9)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn119d240_rnm119d120,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(119,240)) = k7_xcmplx_0(k4_xcmplx_0(119),120) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn159d200_rnm159d100,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(159,200)) = k7_xcmplx_0(k4_xcmplx_0(159),100) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d10_rnm1d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d16_rnm1d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d18_rnm1d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d240_rnm1d120,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,240)) = k7_xcmplx_0(k4_xcmplx_0(1),120) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d24_rnm1d12,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d27_rnm2d27,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d32_rnm1d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,32)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d5_rnm2d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d60_rnm1d30,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,60)) = k7_xcmplx_0(k4_xcmplx_0(1),30) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d6_rnm1d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d80_rnm1d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(1),40) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d8_rnm1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d9_rnm2d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn2d5_rnm4d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn3d4_rnm3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn3d8_rnm3d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn4d5_rnm8d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(4,5)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn59d60_rnm59d30,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(59,60)) = k7_xcmplx_0(k4_xcmplx_0(59),30) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn5d2_rm5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(5,2)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn5d3_rnm10d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn5d4_rnm5d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn7d18_rnm7d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(7),9) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rn8d3_rnm16d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm13d2_r13,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(13),2)) = 13 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d10_rn1d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d16_rn1d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d18_rn1d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d24_rn1d12,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d27_rn2d27,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(2,27) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d32_rn1d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d40_rn1d20,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(1,20) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d5_rn2d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(2,5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d6_rn1d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d80_rn1d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(1,40) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d8_rn1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm25d2_r25,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(25),2)) = 25 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm2d3_rn4d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d32_rn3d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d8_rn3d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm4d3_rn8d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm4d5_rn8d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm5d2_r5,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm5d3_rn10d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm7d3_rn14d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(14,3) )).
fof(rqRealMult__k3_xcmplx_0__rm300_r1_rm300,axiom,( k3_xcmplx_0(k4_xcmplx_0(300),1) = k4_xcmplx_0(300) )).
fof(rqRealMult__k3_xcmplx_0__rm30_r1_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),1) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm30_r2_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),2) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm30_rm2_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(2)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rm3_r90,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k4_xcmplx_0(3)) = 90 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rn1d10_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,10)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm30_rn1d15_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,15)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm30_rn1d30_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,30)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm30_rn1d5_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(1,5)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm30_rn2d15_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(2,15)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm11d10_r33,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(11),10)) = 33 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm1d30_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(1),30)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm1d5_r6,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(1),5)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm2d5_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm3d5_r18,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(3),5)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm4d5_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(4),5)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm7d10_r21,axiom,( k3_xcmplx_0(k4_xcmplx_0(30),k7_xcmplx_0(k4_xcmplx_0(7),10)) = 21 )).
fof(rqRealMult__k3_xcmplx_0__rm312_r1_rm312,axiom,( k3_xcmplx_0(k4_xcmplx_0(312),1) = k4_xcmplx_0(312) )).
fof(rqRealMult__k3_xcmplx_0__rm314_r1_rm314,axiom,( k3_xcmplx_0(k4_xcmplx_0(314),1) = k4_xcmplx_0(314) )).
fof(rqRealMult__k3_xcmplx_0__rm315_r1_rm315,axiom,( k3_xcmplx_0(k4_xcmplx_0(315),1) = k4_xcmplx_0(315) )).
fof(rqRealMult__k3_xcmplx_0__rm31_r1_rm31,axiom,( k3_xcmplx_0(k4_xcmplx_0(31),1) = k4_xcmplx_0(31) )).
fof(rqRealMult__k3_xcmplx_0__rm31_rm3_r93,axiom,( k3_xcmplx_0(k4_xcmplx_0(31),k4_xcmplx_0(3)) = 93 )).
fof(rqRealMult__k3_xcmplx_0__rm31_rn1d32_rnm31d32,axiom,( k3_xcmplx_0(k4_xcmplx_0(31),k7_xcmplx_0(1,32)) = k7_xcmplx_0(k4_xcmplx_0(31),32) )).
fof(rqRealMult__k3_xcmplx_0__rm31_rn1d4_rnm31d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(31),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(31),4) )).
fof(rqRealMult__k3_xcmplx_0__rm31_rnm1d32_rn31d32,axiom,( k3_xcmplx_0(k4_xcmplx_0(31),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(31,32) )).
fof(rqRealMult__k3_xcmplx_0__rm32_r16_rm512,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),16) = k4_xcmplx_0(512) )).
fof(rqRealMult__k3_xcmplx_0__rm32_r1_rm32,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),1) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__rm32_r3_rm96,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),3) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__rm32_rm12_r384,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(12)) = 384 )).
fof(rqRealMult__k3_xcmplx_0__rm32_rm3_r96,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),k4_xcmplx_0(3)) = 96 )).
fof(rqRealMult__k3_xcmplx_0__rm32_rn1d16_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(1,16)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm32_rn1d32_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(1,32)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm32_rn1d4_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(1,4)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm32_rnm1d16_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(k4_xcmplx_0(1),16)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm32_rnm1d32_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(32),k7_xcmplx_0(k4_xcmplx_0(1),32)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm330_r1_rm330,axiom,( k3_xcmplx_0(k4_xcmplx_0(330),1) = k4_xcmplx_0(330) )).
fof(rqRealMult__k3_xcmplx_0__rm332_r1_rm332,axiom,( k3_xcmplx_0(k4_xcmplx_0(332),1) = k4_xcmplx_0(332) )).
fof(rqRealMult__k3_xcmplx_0__rm335_r1_rm335,axiom,( k3_xcmplx_0(k4_xcmplx_0(335),1) = k4_xcmplx_0(335) )).
fof(rqRealMult__k3_xcmplx_0__rm33_r1_rm33,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),1) = k4_xcmplx_0(33) )).
fof(rqRealMult__k3_xcmplx_0__rm33_rn1d18_rnm11d6,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(11),6) )).
fof(rqRealMult__k3_xcmplx_0__rm33_rn1d3_rm11,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),k7_xcmplx_0(1,3)) = k4_xcmplx_0(11) )).
fof(rqRealMult__k3_xcmplx_0__rm33_rn1d4_rnm33d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(33),4) )).
fof(rqRealMult__k3_xcmplx_0__rm33_rn7d18_rnm77d6,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(77),6) )).
fof(rqRealMult__k3_xcmplx_0__rm33_rnm1d16_rn33d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(33,16) )).
fof(rqRealMult__k3_xcmplx_0__rm33_rnm1d18_rn11d6,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(11,6) )).
fof(rqRealMult__k3_xcmplx_0__rm33_rnm1d3_r11,axiom,( k3_xcmplx_0(k4_xcmplx_0(33),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 11 )).
fof(rqRealMult__k3_xcmplx_0__rm340_r1_rm340,axiom,( k3_xcmplx_0(k4_xcmplx_0(340),1) = k4_xcmplx_0(340) )).
fof(rqRealMult__k3_xcmplx_0__rm348_r1_rm348,axiom,( k3_xcmplx_0(k4_xcmplx_0(348),1) = k4_xcmplx_0(348) )).
fof(rqRealMult__k3_xcmplx_0__rm34_r1_rm34,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),1) = k4_xcmplx_0(34) )).
fof(rqRealMult__k3_xcmplx_0__rm34_rn1d18_rnm17d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(17),9) )).
fof(rqRealMult__k3_xcmplx_0__rm34_rn1d3_rnm34d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(34),3) )).
fof(rqRealMult__k3_xcmplx_0__rm34_rn1d4_rnm17d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(17),2) )).
fof(rqRealMult__k3_xcmplx_0__rm34_rn7d18_rnm119d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(119),9) )).
fof(rqRealMult__k3_xcmplx_0__rm34_rnm1d16_rn17d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(17,8) )).
fof(rqRealMult__k3_xcmplx_0__rm34_rnm1d18_rn17d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(17,9) )).
fof(rqRealMult__k3_xcmplx_0__rm34_rnm1d3_rn34d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(34),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(34,3) )).
fof(rqRealMult__k3_xcmplx_0__rm350_r1_rm350,axiom,( k3_xcmplx_0(k4_xcmplx_0(350),1) = k4_xcmplx_0(350) )).
fof(rqRealMult__k3_xcmplx_0__rm35_r1_rm35,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),1) = k4_xcmplx_0(35) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rm2_r70,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k4_xcmplx_0(2)) = 70 )).
fof(rqRealMult__k3_xcmplx_0__rm35_rn1d18_rnm35d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(35),18) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rn1d2_rnm35d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rn1d3_rnm35d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(35),3) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rn1d4_rnm35d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(35),4) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rn7d18_rnm245d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(245),18) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rnm1d16_rn35d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(35,16) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rnm1d18_rn35d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(35,18) )).
fof(rqRealMult__k3_xcmplx_0__rm35_rnm1d3_rn35d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(35),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(35,3) )).
fof(rqRealMult__k3_xcmplx_0__rm360_r1_rm360,axiom,( k3_xcmplx_0(k4_xcmplx_0(360),1) = k4_xcmplx_0(360) )).
fof(rqRealMult__k3_xcmplx_0__rm36_r1_rm36,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),1) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__rm36_r3_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),3) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm36_r6_rm216,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),6) = k4_xcmplx_0(216) )).
fof(rqRealMult__k3_xcmplx_0__rm36_rm2_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(2)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm36_rm3_r108,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(3)) = 108 )).
fof(rqRealMult__k3_xcmplx_0__rm36_rm4_r144,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k4_xcmplx_0(4)) = 144 )).
fof(rqRealMult__k3_xcmplx_0__rm36_rn1d18_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(1,18)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm36_rn1d3_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(1,3)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm36_rn1d4_rm9,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(1,4)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rm36_rn7d18_rm14,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(7,18)) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__rm36_rnm1d16_rn9d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rm36_rnm1d18_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(k4_xcmplx_0(1),18)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm36_rnm1d3_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(36),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm378_r1_rm378,axiom,( k3_xcmplx_0(k4_xcmplx_0(378),1) = k4_xcmplx_0(378) )).
fof(rqRealMult__k3_xcmplx_0__rm37_r1_rm37,axiom,( k3_xcmplx_0(k4_xcmplx_0(37),1) = k4_xcmplx_0(37) )).
fof(rqRealMult__k3_xcmplx_0__rm37_rn1d18_rnm37d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(37),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(37),18) )).
fof(rqRealMult__k3_xcmplx_0__rm37_rn1d3_rnm37d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(37),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(37),3) )).
fof(rqRealMult__k3_xcmplx_0__rm37_rn7d18_rnm259d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(37),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(259),18) )).
fof(rqRealMult__k3_xcmplx_0__rm37_rnm1d18_rn37d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(37),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(37,18) )).
fof(rqRealMult__k3_xcmplx_0__rm37_rnm1d3_rn37d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(37),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(37,3) )).
fof(rqRealMult__k3_xcmplx_0__rm389_r1_rm389,axiom,( k3_xcmplx_0(k4_xcmplx_0(389),1) = k4_xcmplx_0(389) )).
fof(rqRealMult__k3_xcmplx_0__rm38_r1_rm38,axiom,( k3_xcmplx_0(k4_xcmplx_0(38),1) = k4_xcmplx_0(38) )).
fof(rqRealMult__k3_xcmplx_0__rm38_r3_rm114,axiom,( k3_xcmplx_0(k4_xcmplx_0(38),3) = k4_xcmplx_0(114) )).
fof(rqRealMult__k3_xcmplx_0__rm38_rm2_r76,axiom,( k3_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(2)) = 76 )).
fof(rqRealMult__k3_xcmplx_0__rm38_rm3_r114,axiom,( k3_xcmplx_0(k4_xcmplx_0(38),k4_xcmplx_0(3)) = 114 )).
fof(rqRealMult__k3_xcmplx_0__rm390_r1_rm390,axiom,( k3_xcmplx_0(k4_xcmplx_0(390),1) = k4_xcmplx_0(390) )).
fof(rqRealMult__k3_xcmplx_0__rm398_r1_rm398,axiom,( k3_xcmplx_0(k4_xcmplx_0(398),1) = k4_xcmplx_0(398) )).
fof(rqRealMult__k3_xcmplx_0__rm39_r1_rm39,axiom,( k3_xcmplx_0(k4_xcmplx_0(39),1) = k4_xcmplx_0(39) )).
fof(rqRealMult__k3_xcmplx_0__rm39_rm2_r78,axiom,( k3_xcmplx_0(k4_xcmplx_0(39),k4_xcmplx_0(2)) = 78 )).
fof(rqRealMult__k3_xcmplx_0__rm3_cr1r0_crm3r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm3_cr2r0_crm6r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm3_cr4r0_crm12r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm3_crm1r0_cr3r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm3_crm4r0_cr12r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(12,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm3_crn1d2rnm1d2_crnm3d2rn3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r0_r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__rm3_r100_rm300,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),100) = k4_xcmplx_0(300) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r10_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),10) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r116_rm348,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),116) = k4_xcmplx_0(348) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r13_rm39,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),13) = k4_xcmplx_0(39) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r143_rm429,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),143) = k4_xcmplx_0(429) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r14_rm42,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),14) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r15_rm45,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),15) = k4_xcmplx_0(45) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r16_rm48,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),16) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r178_rm534,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),178) = k4_xcmplx_0(534) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r19_rm57,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),19) = k4_xcmplx_0(57) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),1) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r20_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),20) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r246_rm738,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),246) = k4_xcmplx_0(738) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r256_rm768,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),256) = k4_xcmplx_0(768) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r26_rm78,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),26) = k4_xcmplx_0(78) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r27_rm81,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),27) = k4_xcmplx_0(81) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r2_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),2) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r34_rm102,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),34) = k4_xcmplx_0(102) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r36_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),36) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r3_rm9,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),3) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r4_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),4) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r5_rm15,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),5) = k4_xcmplx_0(15) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r62_rm186,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),62) = k4_xcmplx_0(186) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r6_rm18,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),6) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r7_rm21,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),7) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r84_rm252,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),84) = k4_xcmplx_0(252) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r8_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),8) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm3_r9_rm27,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),9) = k4_xcmplx_0(27) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm10_r30,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(10)) = 30 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm11_r33,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(11)) = 33 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm12_r36,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(12)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm140_r420,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(140)) = 420 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm14_r42,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(14)) = 42 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm166_r498,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(166)) = 498 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm18_r54,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(18)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm20_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(20)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm212_r636,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(212)) = 636 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm27_r81,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(27)) = 81 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm2_r6,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(2)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm3_r9,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) = 9 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm46_r138,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(46)) = 138 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm48_r144,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(48)) = 144 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm4_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(4)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm52_r156,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(52)) = 156 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm5_r15,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(5)) = 15 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm6_r18,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(6)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm70_r210,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(70)) = 210 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm76_r228,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(76)) = 228 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm7_r21,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(7)) = 21 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm80_r240,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(80)) = 240 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm8_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(8)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm90_r270,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(90)) = 270 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm96_r288,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(96)) = 288 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rm9_r27,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(9)) = 27 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d12_rnm1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,12)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d16_rnm3d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d18_rnm1d6,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d24_rnm1d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d27_rnm1d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,3)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d6_rnm1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d8_rnm3d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d9_rnm1d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn2d81_rnm2d27,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(2,81)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn3d2_rnm9d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn3d32_rnm9d32,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,32)) = k7_xcmplx_0(k4_xcmplx_0(9),32) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn3d4_rnm9d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn3d8_rnm9d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn5d4_rnm15d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn7d18_rnm7d6,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rn8d3_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(8,3)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d12_rn1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d16_rn3d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d18_rn1d6,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d24_rn1d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d5_rn3d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d64_rn3d64,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(3,64) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d6_rn1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d8_rn3d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d9_rn1d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm25d2_rn75d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(25),2)) = k7_xcmplx_0(75,2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm3d2_rn9d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm3d4_rn9d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm3d8_rn9d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(9,8) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm4d3_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm4d5_rn12d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(12,5) )).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm5d2_rn15d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(15,2) )).
fof(rqRealMult__k3_xcmplx_0__rm400_r1_rm400,axiom,( k3_xcmplx_0(k4_xcmplx_0(400),1) = k4_xcmplx_0(400) )).
fof(rqRealMult__k3_xcmplx_0__rm404_r1_rm404,axiom,( k3_xcmplx_0(k4_xcmplx_0(404),1) = k4_xcmplx_0(404) )).
fof(rqRealMult__k3_xcmplx_0__rm40_r1_rm40,axiom,( k3_xcmplx_0(k4_xcmplx_0(40),1) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__rm40_rm2_r80,axiom,( k3_xcmplx_0(k4_xcmplx_0(40),k4_xcmplx_0(2)) = 80 )).
fof(rqRealMult__k3_xcmplx_0__rm420_r1_rm420,axiom,( k3_xcmplx_0(k4_xcmplx_0(420),1) = k4_xcmplx_0(420) )).
fof(rqRealMult__k3_xcmplx_0__rm424_r1_rm424,axiom,( k3_xcmplx_0(k4_xcmplx_0(424),1) = k4_xcmplx_0(424) )).
fof(rqRealMult__k3_xcmplx_0__rm42_r1_rm42,axiom,( k3_xcmplx_0(k4_xcmplx_0(42),1) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__rm42_r3_rm126,axiom,( k3_xcmplx_0(k4_xcmplx_0(42),3) = k4_xcmplx_0(126) )).
fof(rqRealMult__k3_xcmplx_0__rm42_rm2_r84,axiom,( k3_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(2)) = 84 )).
fof(rqRealMult__k3_xcmplx_0__rm42_rm3_r126,axiom,( k3_xcmplx_0(k4_xcmplx_0(42),k4_xcmplx_0(3)) = 126 )).
fof(rqRealMult__k3_xcmplx_0__rm432_r1_rm432,axiom,( k3_xcmplx_0(k4_xcmplx_0(432),1) = k4_xcmplx_0(432) )).
fof(rqRealMult__k3_xcmplx_0__rm43_r1_rm43,axiom,( k3_xcmplx_0(k4_xcmplx_0(43),1) = k4_xcmplx_0(43) )).
fof(rqRealMult__k3_xcmplx_0__rm44_r1_rm44,axiom,( k3_xcmplx_0(k4_xcmplx_0(44),1) = k4_xcmplx_0(44) )).
fof(rqRealMult__k3_xcmplx_0__rm44_rm2_r88,axiom,( k3_xcmplx_0(k4_xcmplx_0(44),k4_xcmplx_0(2)) = 88 )).
fof(rqRealMult__k3_xcmplx_0__rm452_r1_rm452,axiom,( k3_xcmplx_0(k4_xcmplx_0(452),1) = k4_xcmplx_0(452) )).
fof(rqRealMult__k3_xcmplx_0__rm45_r1_rm45,axiom,( k3_xcmplx_0(k4_xcmplx_0(45),1) = k4_xcmplx_0(45) )).
fof(rqRealMult__k3_xcmplx_0__rm45_rn1d4_rnm45d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(45),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(45),4) )).
fof(rqRealMult__k3_xcmplx_0__rm45_rnm1d16_rn45d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(45),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(45,16) )).
fof(rqRealMult__k3_xcmplx_0__rm46_r1_rm46,axiom,( k3_xcmplx_0(k4_xcmplx_0(46),1) = k4_xcmplx_0(46) )).
fof(rqRealMult__k3_xcmplx_0__rm46_rn1d4_rnm23d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(46),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealMult__k3_xcmplx_0__rm46_rnm1d16_rn23d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(46),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(23,8) )).
fof(rqRealMult__k3_xcmplx_0__rm47_r1_rm47,axiom,( k3_xcmplx_0(k4_xcmplx_0(47),1) = k4_xcmplx_0(47) )).
fof(rqRealMult__k3_xcmplx_0__rm47_rn1d4_rnm47d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(47),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(47),4) )).
fof(rqRealMult__k3_xcmplx_0__rm47_rnm1d16_rn47d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(47),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(47,16) )).
fof(rqRealMult__k3_xcmplx_0__rm488_r1_rm488,axiom,( k3_xcmplx_0(k4_xcmplx_0(488),1) = k4_xcmplx_0(488) )).
fof(rqRealMult__k3_xcmplx_0__rm48_r16_rm768,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),16) = k4_xcmplx_0(768) )).
fof(rqRealMult__k3_xcmplx_0__rm48_r1_rm48,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),1) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__rm48_r2_rm96,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),2) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__rm48_r3_rm144,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),3) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__rm48_rm12_r576,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(12)) = 576 )).
fof(rqRealMult__k3_xcmplx_0__rm48_rm16_r768,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(16)) = 768 )).
fof(rqRealMult__k3_xcmplx_0__rm48_rm2_r96,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(2)) = 96 )).
fof(rqRealMult__k3_xcmplx_0__rm48_rm3_r144,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k4_xcmplx_0(3)) = 144 )).
fof(rqRealMult__k3_xcmplx_0__rm48_rn1d4_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(1,4)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm48_rnm16d3_r256,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(k4_xcmplx_0(16),3)) = 256 )).
fof(rqRealMult__k3_xcmplx_0__rm48_rnm1d16_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(k4_xcmplx_0(1),16)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm48_rnm1d48_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(k4_xcmplx_0(1),48)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm48_rnm32d3_r512,axiom,( k3_xcmplx_0(k4_xcmplx_0(48),k7_xcmplx_0(k4_xcmplx_0(32),3)) = 512 )).
fof(rqRealMult__k3_xcmplx_0__rm495_r1_rm495,axiom,( k3_xcmplx_0(k4_xcmplx_0(495),1) = k4_xcmplx_0(495) )).
fof(rqRealMult__k3_xcmplx_0__rm49_r1_rm49,axiom,( k3_xcmplx_0(k4_xcmplx_0(49),1) = k4_xcmplx_0(49) )).
fof(rqRealMult__k3_xcmplx_0__rm4_cr1r0_crm4r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm4_cr2r0_crm8r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm4_crm1r0_cr4r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm4_crnm1d4r0_cr1r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rm4_r100_rm400,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),100) = k4_xcmplx_0(400) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r10_rm40,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),10) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r116_rm464,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),116) = k4_xcmplx_0(464) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r12_rm48,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),12) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r13_rm52,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),13) = k4_xcmplx_0(52) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r143_rm572,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),143) = k4_xcmplx_0(572) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r14_rm56,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),14) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r15_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),15) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r16_rm64,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),16) = k4_xcmplx_0(64) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r178_rm712,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),178) = k4_xcmplx_0(712) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r19_rm76,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),19) = k4_xcmplx_0(76) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r1_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),1) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r20_rm80,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),20) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r246_rm984,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),246) = k4_xcmplx_0(984) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r26_rm104,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),26) = k4_xcmplx_0(104) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r27_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),27) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r2_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),2) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r30_rm120,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),30) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r34_rm136,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),34) = k4_xcmplx_0(136) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r36_rm144,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),36) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r3_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),3) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r48_rm192,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),48) = k4_xcmplx_0(192) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r4_rm16,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),4) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r5_rm20,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),5) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r62_rm248,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),62) = k4_xcmplx_0(248) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r64_rm256,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),64) = k4_xcmplx_0(256) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r6_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),6) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r7_rm28,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),7) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r84_rm336,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),84) = k4_xcmplx_0(336) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r8_rm32,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),8) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__rm4_r9_rm36,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),9) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm10_r40,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(10)) = 40 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm11_r44,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(11)) = 44 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm12_r48,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(12)) = 48 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm140_r560,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(140)) = 560 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm14_r56,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(14)) = 56 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm15_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(15)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm166_r664,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(166)) = 664 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm18_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(18)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm20_r80,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(20)) = 80 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm212_r848,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(212)) = 848 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm27_r108,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(27)) = 108 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm2_r8,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(2)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm30_r120,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(30)) = 120 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm3_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(3)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm46_r184,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(46)) = 184 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm48_r192,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(48)) = 192 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm4_r16,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(4)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm52_r208,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(52)) = 208 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm6_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(6)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm70_r280,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(70)) = 280 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm76_r304,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(76)) = 304 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm7_r28,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(7)) = 28 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm80_r320,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(80)) = 320 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm8_r32,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(8)) = 32 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm90_r360,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(90)) = 360 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm96_r384,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(96)) = 384 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rm9_r36,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(9)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn121d160_rnm121d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(121,160)) = k7_xcmplx_0(k4_xcmplx_0(121),40) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn121d20_rnm121d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(121,20)) = k7_xcmplx_0(k4_xcmplx_0(121),5) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn121d80_rnm121d20,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(121,80)) = k7_xcmplx_0(k4_xcmplx_0(121),20) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d16_rnm1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d24_rnm1d6,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d27_rnm4d27,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(4),27) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,2)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d32_rnm1d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,32)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d3_rnm4d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,4)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d5_rnm4d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d64_rnm1d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn1d8_rnm1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn3d2_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(3,2)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn3d32_rnm3d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(3,32)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(3,4)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn5d4_rm5,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(5,4)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rn9d4_rm9,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(9,4)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm119d480_rn119d120,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(119),480)) = k7_xcmplx_0(119,120) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm121d120_rn121d30,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(121),120)) = k7_xcmplx_0(121,30) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm121d480_rn121d120,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(121),480)) = k7_xcmplx_0(121,120) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d160_rn1d40,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),160)) = k7_xcmplx_0(1,40) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d16_rn1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d20_rn1d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),20)) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d3_rn4d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d512_rn1d128,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),512)) = k7_xcmplx_0(1,128) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d5_rn4d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d64_rn1d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d6_rn2d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d8_rn1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm25d2_r50,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(25),2)) = 50 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm2d5_rn8d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm3d2_r6,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm3d32_rn3d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm3d8_rn3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm4d3_rn16d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(16,3) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm4d5_rn16d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(16,5) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm59d120_rn59d30,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(59),120)) = k7_xcmplx_0(59,30) )).
fof(rqRealMult__k3_xcmplx_0__rm4_rnm5d2_r10,axiom,( k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 10 )).
fof(rqRealMult__k3_xcmplx_0__rm50_r1_rm50,axiom,( k3_xcmplx_0(k4_xcmplx_0(50),1) = k4_xcmplx_0(50) )).
fof(rqRealMult__k3_xcmplx_0__rm514_r1_rm514,axiom,( k3_xcmplx_0(k4_xcmplx_0(514),1) = k4_xcmplx_0(514) )).
fof(rqRealMult__k3_xcmplx_0__rm525_r1_rm525,axiom,( k3_xcmplx_0(k4_xcmplx_0(525),1) = k4_xcmplx_0(525) )).
fof(rqRealMult__k3_xcmplx_0__rm52_r1_rm52,axiom,( k3_xcmplx_0(k4_xcmplx_0(52),1) = k4_xcmplx_0(52) )).
fof(rqRealMult__k3_xcmplx_0__rm53_r1_rm53,axiom,( k3_xcmplx_0(k4_xcmplx_0(53),1) = k4_xcmplx_0(53) )).
fof(rqRealMult__k3_xcmplx_0__rm54_crm2r0_cr108r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(108,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm54_r1_rm54,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),1) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__rm54_r2_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),2) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm54_rm2_r108,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),k4_xcmplx_0(2)) = 108 )).
fof(rqRealMult__k3_xcmplx_0__rm54_rn1d6_rm9,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),k7_xcmplx_0(1,6)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rm54_rn2d27_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),k7_xcmplx_0(2,27)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm54_rnm1d27_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),k7_xcmplx_0(k4_xcmplx_0(1),27)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm54_rnm1d2_r27,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 27 )).
fof(rqRealMult__k3_xcmplx_0__rm54_rnm1d3_r18,axiom,( k3_xcmplx_0(k4_xcmplx_0(54),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__rm552_r1_rm552,axiom,( k3_xcmplx_0(k4_xcmplx_0(552),1) = k4_xcmplx_0(552) )).
fof(rqRealMult__k3_xcmplx_0__rm556_r1_rm556,axiom,( k3_xcmplx_0(k4_xcmplx_0(556),1) = k4_xcmplx_0(556) )).
fof(rqRealMult__k3_xcmplx_0__rm55_r1_rm55,axiom,( k3_xcmplx_0(k4_xcmplx_0(55),1) = k4_xcmplx_0(55) )).
fof(rqRealMult__k3_xcmplx_0__rm56_r1_rm56,axiom,( k3_xcmplx_0(k4_xcmplx_0(56),1) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__rm56_rn1d2_rm28,axiom,( k3_xcmplx_0(k4_xcmplx_0(56),k7_xcmplx_0(1,2)) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__rm570_r1_rm570,axiom,( k3_xcmplx_0(k4_xcmplx_0(570),1) = k4_xcmplx_0(570) )).
fof(rqRealMult__k3_xcmplx_0__rm57_r1_rm57,axiom,( k3_xcmplx_0(k4_xcmplx_0(57),1) = k4_xcmplx_0(57) )).
fof(rqRealMult__k3_xcmplx_0__rm57_rm3_r171,axiom,( k3_xcmplx_0(k4_xcmplx_0(57),k4_xcmplx_0(3)) = 171 )).
fof(rqRealMult__k3_xcmplx_0__rm58_cr4r0_crm232r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(58),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(232),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm58_r1_rm58,axiom,( k3_xcmplx_0(k4_xcmplx_0(58),1) = k4_xcmplx_0(58) )).
fof(rqRealMult__k3_xcmplx_0__rm58_r4_rm232,axiom,( k3_xcmplx_0(k4_xcmplx_0(58),4) = k4_xcmplx_0(232) )).
fof(rqRealMult__k3_xcmplx_0__rm59_r1_rm59,axiom,( k3_xcmplx_0(k4_xcmplx_0(59),1) = k4_xcmplx_0(59) )).
fof(rqRealMult__k3_xcmplx_0__rm59_rm3_r177,axiom,( k3_xcmplx_0(k4_xcmplx_0(59),k4_xcmplx_0(3)) = 177 )).
fof(rqRealMult__k3_xcmplx_0__rm5_cr4r0_crm20r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(20),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r12_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),12) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r13_rm65,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),13) = k4_xcmplx_0(65) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r15_rm75,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),15) = k4_xcmplx_0(75) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r16_rm80,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),16) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r1_rm5,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),1) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r2_rm10,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),2) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r3_rm15,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),3) = k4_xcmplx_0(15) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r4_rm20,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),4) = k4_xcmplx_0(20) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r6_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),6) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r8_rm40,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),8) = k4_xcmplx_0(40) )).
fof(rqRealMult__k3_xcmplx_0__rm5_r9_rm45,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),9) = k4_xcmplx_0(45) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm11_r55,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(11)) = 55 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm128_r640,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(128)) = 640 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm12_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(12)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm13_r65,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(13)) = 65 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm16_r80,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(16)) = 80 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm2_r10,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(2)) = 10 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm3_r15,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(3)) = 15 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm4_r20,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(4)) = 20 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm5_r25,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(5)) = 25 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm6_r30,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(6)) = 30 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm8_r40,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(8)) = 40 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm96_r480,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(96)) = 480 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rm9_r45,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k4_xcmplx_0(9)) = 45 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rn1d2_rnm5d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rn1d4_rnm5d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rn1d5_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(1,5)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rn2d5_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(2,5)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rn3d2_rnm15d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rn3d5_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(3,5)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rn4d5_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(4,5)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm12d5_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(12),5)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm1d2_rn5d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm1d3_rn5d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm1d4_rn5d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm1d5_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(1),5)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm2d5_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm36d5_r36,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(36),5)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm3d5_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(3),5)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm4d5_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(4),5)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm5_rnm641d5_r641,axiom,( k3_xcmplx_0(k4_xcmplx_0(5),k7_xcmplx_0(k4_xcmplx_0(641),5)) = 641 )).
fof(rqRealMult__k3_xcmplx_0__rm60_r1_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(60),1) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm61_cr4r0_crm244r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(61),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(244),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm61_crm4r0_cr244r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(61),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(244,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm61_r1_rm61,axiom,( k3_xcmplx_0(k4_xcmplx_0(61),1) = k4_xcmplx_0(61) )).
fof(rqRealMult__k3_xcmplx_0__rm61_r4_rm244,axiom,( k3_xcmplx_0(k4_xcmplx_0(61),4) = k4_xcmplx_0(244) )).
fof(rqRealMult__k3_xcmplx_0__rm61_rm4_r244,axiom,( k3_xcmplx_0(k4_xcmplx_0(61),k4_xcmplx_0(4)) = 244 )).
fof(rqRealMult__k3_xcmplx_0__rm62_r1_rm62,axiom,( k3_xcmplx_0(k4_xcmplx_0(62),1) = k4_xcmplx_0(62) )).
fof(rqRealMult__k3_xcmplx_0__rm63_cr4r0_crm252r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(63),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(252),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm63_crm4r0_cr252r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(63),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(252,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm63_r1_rm63,axiom,( k3_xcmplx_0(k4_xcmplx_0(63),1) = k4_xcmplx_0(63) )).
fof(rqRealMult__k3_xcmplx_0__rm63_r4_rm252,axiom,( k3_xcmplx_0(k4_xcmplx_0(63),4) = k4_xcmplx_0(252) )).
fof(rqRealMult__k3_xcmplx_0__rm63_rm4_r252,axiom,( k3_xcmplx_0(k4_xcmplx_0(63),k4_xcmplx_0(4)) = 252 )).
fof(rqRealMult__k3_xcmplx_0__rm641_r1_rm641,axiom,( k3_xcmplx_0(k4_xcmplx_0(641),1) = k4_xcmplx_0(641) )).
fof(rqRealMult__k3_xcmplx_0__rm645_r1_rm645,axiom,( k3_xcmplx_0(k4_xcmplx_0(645),1) = k4_xcmplx_0(645) )).
fof(rqRealMult__k3_xcmplx_0__rm64_cr4r0_crm256r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm64_crm4r0_cr256r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(256,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm64_r1_rm64,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),1) = k4_xcmplx_0(64) )).
fof(rqRealMult__k3_xcmplx_0__rm64_r4_rm256,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),4) = k4_xcmplx_0(256) )).
fof(rqRealMult__k3_xcmplx_0__rm64_rm12_r768,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(12)) = 768 )).
fof(rqRealMult__k3_xcmplx_0__rm64_rm4_r256,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k4_xcmplx_0(4)) = 256 )).
fof(rqRealMult__k3_xcmplx_0__rm64_rn1d4_rm16,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(1,4)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rm64_rn3d64_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(3,64)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm64_rnm1d16_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(k4_xcmplx_0(1),16)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm64_rnm1d4_r16,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__rm64_rnm1d64_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(64),k7_xcmplx_0(k4_xcmplx_0(1),64)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm65_cr4r0_crm260r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(65),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(260),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm65_crm4r0_cr260r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(65),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(260,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm65_r1_rm65,axiom,( k3_xcmplx_0(k4_xcmplx_0(65),1) = k4_xcmplx_0(65) )).
fof(rqRealMult__k3_xcmplx_0__rm65_r4_rm260,axiom,( k3_xcmplx_0(k4_xcmplx_0(65),4) = k4_xcmplx_0(260) )).
fof(rqRealMult__k3_xcmplx_0__rm65_rm4_r260,axiom,( k3_xcmplx_0(k4_xcmplx_0(65),k4_xcmplx_0(4)) = 260 )).
fof(rqRealMult__k3_xcmplx_0__rm660_r1_rm660,axiom,( k3_xcmplx_0(k4_xcmplx_0(660),1) = k4_xcmplx_0(660) )).
fof(rqRealMult__k3_xcmplx_0__rm66_r1_rm66,axiom,( k3_xcmplx_0(k4_xcmplx_0(66),1) = k4_xcmplx_0(66) )).
fof(rqRealMult__k3_xcmplx_0__rm670_r1_rm670,axiom,( k3_xcmplx_0(k4_xcmplx_0(670),1) = k4_xcmplx_0(670) )).
fof(rqRealMult__k3_xcmplx_0__rm67_r1_rm67,axiom,( k3_xcmplx_0(k4_xcmplx_0(67),1) = k4_xcmplx_0(67) )).
fof(rqRealMult__k3_xcmplx_0__rm69_r1_rm69,axiom,( k3_xcmplx_0(k4_xcmplx_0(69),1) = k4_xcmplx_0(69) )).
fof(rqRealMult__k3_xcmplx_0__rm6_cr1r0_crm6r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm6_cr4r0_crm24r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(24),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r10_rm60,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),10) = k4_xcmplx_0(60) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r12_rm72,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),12) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r13_rm78,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),13) = k4_xcmplx_0(78) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r15_rm90,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),15) = k4_xcmplx_0(90) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r16_rm96,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),16) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r1_rm6,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),1) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r27_rm162,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),27) = k4_xcmplx_0(162) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r2_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),2) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r36_rm216,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),36) = k4_xcmplx_0(216) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r3_rm18,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),3) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r4_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),4) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r5_rm30,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),5) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r69_rm414,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),69) = k4_xcmplx_0(414) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r6_rm36,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),6) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r7_rm42,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),7) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r8_rm48,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),8) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__rm6_r9_rm54,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),9) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm10_r60,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(10)) = 60 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm11_r66,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(11)) = 66 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm12_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(12)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm13_r78,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(13)) = 78 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm16_r96,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(16)) = 96 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm2_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(2)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm3_r18,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(3)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm4_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(4)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm5_r30,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(5)) = 30 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm6_r36,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(6)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm7_r42,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(7)) = 42 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm8_r48,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(8)) = 48 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rm9_r54,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k4_xcmplx_0(9)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn19d2_rm57,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(19,2)) = k4_xcmplx_0(57) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d18_rnm1d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d2_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,2)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d3_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,3)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d4_rnm3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d5_rnm6d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d6_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(1,6)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn25d6_rm25,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(25,6)) = k4_xcmplx_0(25) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn419d6_rm419,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(419,6)) = k4_xcmplx_0(419) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn4d5_rnm24d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(4,5)) = k7_xcmplx_0(k4_xcmplx_0(24),5) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn7d18_rnm7d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn7d2_rm21,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(7,2)) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rn81d2_rm243,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(81,2)) = k4_xcmplx_0(243) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm12d5_rn72d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(12),5)) = k7_xcmplx_0(72,5) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm13d2_r39,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(13),2)) = 39 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm19d2_r57,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(19),2)) = 57 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d16_rn3d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d18_rn1d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d2_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d3_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d4_rn3d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d5_rn6d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(6,5) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm36d5_rn216d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(36),5)) = k7_xcmplx_0(216,5) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm4d5_rn24d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(24,5) )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm7d2_r21,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(7),2)) = 21 )).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm91d6_r91,axiom,( k3_xcmplx_0(k4_xcmplx_0(6),k7_xcmplx_0(k4_xcmplx_0(91),6)) = 91 )).
fof(rqRealMult__k3_xcmplx_0__rm700_r1_rm700,axiom,( k3_xcmplx_0(k4_xcmplx_0(700),1) = k4_xcmplx_0(700) )).
fof(rqRealMult__k3_xcmplx_0__rm702_r1_rm702,axiom,( k3_xcmplx_0(k4_xcmplx_0(702),1) = k4_xcmplx_0(702) )).
fof(rqRealMult__k3_xcmplx_0__rm70_r1_rm70,axiom,( k3_xcmplx_0(k4_xcmplx_0(70),1) = k4_xcmplx_0(70) )).
fof(rqRealMult__k3_xcmplx_0__rm70_rm2_r140,axiom,( k3_xcmplx_0(k4_xcmplx_0(70),k4_xcmplx_0(2)) = 140 )).
fof(rqRealMult__k3_xcmplx_0__rm729_rn1d27_rm27,axiom,( k3_xcmplx_0(k4_xcmplx_0(729),k7_xcmplx_0(1,27)) = k4_xcmplx_0(27) )).
fof(rqRealMult__k3_xcmplx_0__rm729_rn1d81_rm9,axiom,( k3_xcmplx_0(k4_xcmplx_0(729),k7_xcmplx_0(1,81)) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rm729_rnm1d27_r27,axiom,( k3_xcmplx_0(k4_xcmplx_0(729),k7_xcmplx_0(k4_xcmplx_0(1),27)) = 27 )).
fof(rqRealMult__k3_xcmplx_0__rm729_rnm1d729_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(729),k7_xcmplx_0(k4_xcmplx_0(1),729)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm72_r1_rm72,axiom,( k3_xcmplx_0(k4_xcmplx_0(72),1) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__rm72_r3_rm216,axiom,( k3_xcmplx_0(k4_xcmplx_0(72),3) = k4_xcmplx_0(216) )).
fof(rqRealMult__k3_xcmplx_0__rm72_rm2_r144,axiom,( k3_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(2)) = 144 )).
fof(rqRealMult__k3_xcmplx_0__rm72_rm3_r216,axiom,( k3_xcmplx_0(k4_xcmplx_0(72),k4_xcmplx_0(3)) = 216 )).
fof(rqRealMult__k3_xcmplx_0__rm74_r1_rm74,axiom,( k3_xcmplx_0(k4_xcmplx_0(74),1) = k4_xcmplx_0(74) )).
fof(rqRealMult__k3_xcmplx_0__rm75_r1_rm75,axiom,( k3_xcmplx_0(k4_xcmplx_0(75),1) = k4_xcmplx_0(75) )).
fof(rqRealMult__k3_xcmplx_0__rm75_r3_rm225,axiom,( k3_xcmplx_0(k4_xcmplx_0(75),3) = k4_xcmplx_0(225) )).
fof(rqRealMult__k3_xcmplx_0__rm75_rm3_r225,axiom,( k3_xcmplx_0(k4_xcmplx_0(75),k4_xcmplx_0(3)) = 225 )).
fof(rqRealMult__k3_xcmplx_0__rm76_r1_rm76,axiom,( k3_xcmplx_0(k4_xcmplx_0(76),1) = k4_xcmplx_0(76) )).
fof(rqRealMult__k3_xcmplx_0__rm780_r1_rm780,axiom,( k3_xcmplx_0(k4_xcmplx_0(780),1) = k4_xcmplx_0(780) )).
fof(rqRealMult__k3_xcmplx_0__rm78_r1_rm78,axiom,( k3_xcmplx_0(k4_xcmplx_0(78),1) = k4_xcmplx_0(78) )).
fof(rqRealMult__k3_xcmplx_0__rm7_crm1r0_cr7r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(7,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r12_rm84,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),12) = k4_xcmplx_0(84) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r13_rm91,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),13) = k4_xcmplx_0(91) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r15_rm105,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),15) = k4_xcmplx_0(105) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r16_rm112,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),16) = k4_xcmplx_0(112) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r1_rm7,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),1) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r2_rm14,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),2) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r3_rm21,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),3) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r4_rm28,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),4) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r6_rm42,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),6) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r7_rm49,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),7) = k4_xcmplx_0(49) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r8_rm56,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),8) = k4_xcmplx_0(56) )).
fof(rqRealMult__k3_xcmplx_0__rm7_r9_rm63,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),9) = k4_xcmplx_0(63) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm10_r70,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(10)) = 70 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm11_r77,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(11)) = 77 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm12_r84,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(12)) = 84 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm13_r91,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(13)) = 91 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm16_r112,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(16)) = 112 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm2_r14,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(2)) = 14 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm3_r21,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(3)) = 21 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm4_r28,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(4)) = 28 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm5_r35,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(5)) = 35 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm6_r42,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(6)) = 42 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm7_r49,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(7)) = 49 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm8_r56,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(8)) = 56 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rm9_r63,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k4_xcmplx_0(9)) = 63 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d16_rnm7d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d18_rnm7d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(7),18) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d2_rnm7d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d3_rnm7d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d4_rnm7d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d8_rnm7d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rn7d18_rnm49d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(49),18) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d16_rn7d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(7,16) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d18_rn7d18,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(7,18) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d2_rn7d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d3_rn7d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(7,3) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d64_rn7d64,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(7,64) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d7_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),7)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d8_rn7d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(7,8) )).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm3d8_rn21d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(7),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(21,8) )).
fof(rqRealMult__k3_xcmplx_0__rm80_r1_rm80,axiom,( k3_xcmplx_0(k4_xcmplx_0(80),1) = k4_xcmplx_0(80) )).
fof(rqRealMult__k3_xcmplx_0__rm82_r1_rm82,axiom,( k3_xcmplx_0(k4_xcmplx_0(82),1) = k4_xcmplx_0(82) )).
fof(rqRealMult__k3_xcmplx_0__rm84_r1_rm84,axiom,( k3_xcmplx_0(k4_xcmplx_0(84),1) = k4_xcmplx_0(84) )).
fof(rqRealMult__k3_xcmplx_0__rm84_r3_rm252,axiom,( k3_xcmplx_0(k4_xcmplx_0(84),3) = k4_xcmplx_0(252) )).
fof(rqRealMult__k3_xcmplx_0__rm84_rm3_r252,axiom,( k3_xcmplx_0(k4_xcmplx_0(84),k4_xcmplx_0(3)) = 252 )).
fof(rqRealMult__k3_xcmplx_0__rm84_rn1d4_rm21,axiom,( k3_xcmplx_0(k4_xcmplx_0(84),k7_xcmplx_0(1,4)) = k4_xcmplx_0(21) )).
fof(rqRealMult__k3_xcmplx_0__rm84_rnm1d16_rn21d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(84),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(21,4) )).
fof(rqRealMult__k3_xcmplx_0__rm860_r1_rm860,axiom,( k3_xcmplx_0(k4_xcmplx_0(860),1) = k4_xcmplx_0(860) )).
fof(rqRealMult__k3_xcmplx_0__rm86_r1_rm86,axiom,( k3_xcmplx_0(k4_xcmplx_0(86),1) = k4_xcmplx_0(86) )).
fof(rqRealMult__k3_xcmplx_0__rm88_r1_rm88,axiom,( k3_xcmplx_0(k4_xcmplx_0(88),1) = k4_xcmplx_0(88) )).
fof(rqRealMult__k3_xcmplx_0__rm8_cr1r0_crm8r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm8_crm1r0_cr8r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(8,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm8_crm3r0_cr24r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(24,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm8_crn3d2r0_crm12r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm8_crnm3d2r0_cr12r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(12,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r13_rm104,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),13) = k4_xcmplx_0(104) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r15_rm120,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),15) = k4_xcmplx_0(120) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r16_rm128,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),16) = k4_xcmplx_0(128) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r1_rm8,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),1) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r2_rm16,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),2) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r3_rm24,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),3) = k4_xcmplx_0(24) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r4_rm32,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),4) = k4_xcmplx_0(32) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r6_rm48,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),6) = k4_xcmplx_0(48) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r8_rm64,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),8) = k4_xcmplx_0(64) )).
fof(rqRealMult__k3_xcmplx_0__rm8_r9_rm72,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),9) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm11_r88,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(11)) = 88 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm12_r96,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(12)) = 96 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm2_r16,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(2)) = 16 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm3_r24,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(3)) = 24 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm4_r32,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(4)) = 32 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm6_r48,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(6)) = 48 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm8_r64,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(8)) = 64 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm96_r768,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(96)) = 768 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rm9_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k4_xcmplx_0(9)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d128_rnm1d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,128)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d16_rnm1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d18_rnm4d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d2_rm4,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,2)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d3_rnm8d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d4_rm2,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,4)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d5_rnm8d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d64_rnm1d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d8_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,8)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn1d9_rnm8d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(8),9) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn2d5_rnm16d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(16),5) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn3d2_rm12,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(3,2)) = k4_xcmplx_0(12) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn4d5_rnm32d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(4,5)) = k7_xcmplx_0(k4_xcmplx_0(32),5) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rn7d18_rnm28d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(28),9) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d16_rn1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d18_rn4d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(4,9) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d2_r4,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d32_rn1d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d3_rn8d3,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d4_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d5_rn8d5,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d64_rn1d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d8_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),8)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm1d9_rn8d9,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(8,9) )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm3d2_r12,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 12 )).
fof(rqRealMult__k3_xcmplx_0__rm8_rnm3d8_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(8),k7_xcmplx_0(k4_xcmplx_0(3),8)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm900_r1_rm900,axiom,( k3_xcmplx_0(k4_xcmplx_0(900),1) = k4_xcmplx_0(900) )).
fof(rqRealMult__k3_xcmplx_0__rm90_r1_rm90,axiom,( k3_xcmplx_0(k4_xcmplx_0(90),1) = k4_xcmplx_0(90) )).
fof(rqRealMult__k3_xcmplx_0__rm92_r1_rm92,axiom,( k3_xcmplx_0(k4_xcmplx_0(92),1) = k4_xcmplx_0(92) )).
fof(rqRealMult__k3_xcmplx_0__rm94_r1_rm94,axiom,( k3_xcmplx_0(k4_xcmplx_0(94),1) = k4_xcmplx_0(94) )).
fof(rqRealMult__k3_xcmplx_0__rm96_r1_rm96,axiom,( k3_xcmplx_0(k4_xcmplx_0(96),1) = k4_xcmplx_0(96) )).
fof(rqRealMult__k3_xcmplx_0__rm96_r3_rm288,axiom,( k3_xcmplx_0(k4_xcmplx_0(96),3) = k4_xcmplx_0(288) )).
fof(rqRealMult__k3_xcmplx_0__rm96_rm3_r288,axiom,( k3_xcmplx_0(k4_xcmplx_0(96),k4_xcmplx_0(3)) = 288 )).
fof(rqRealMult__k3_xcmplx_0__rm9_crm3r0_cr27r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(27,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm9_crn3d2r0_crnm27d2r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm9_crnm3d2r0_crn27d2r0,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r12_rm108,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),12) = k4_xcmplx_0(108) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r13_rm117,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),13) = k4_xcmplx_0(117) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r16_rm144,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),16) = k4_xcmplx_0(144) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r1_rm9,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),1) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r2_rm18,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),2) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r3_rm27,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),3) = k4_xcmplx_0(27) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r4_rm36,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),4) = k4_xcmplx_0(36) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r6_rm54,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),6) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r8_rm72,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),8) = k4_xcmplx_0(72) )).
fof(rqRealMult__k3_xcmplx_0__rm9_r9_rm81,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),9) = k4_xcmplx_0(81) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm12_r108,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(12)) = 108 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm13_r117,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(13)) = 117 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm16_r144,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(16)) = 144 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm2_r18,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(2)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm3_r27,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(3)) = 27 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm4_r36,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(4)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm6_r54,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(6)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm8_r72,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(8)) = 72 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rm9_r81,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k4_xcmplx_0(9)) = 81 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rn1d18_rnm1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rn1d3_rm3,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,3)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rn1d4_rnm9d4,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rn1d9_rm1,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(1,9)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rn3d2_rnm27d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(27),2) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rn7d18_rnm7d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm1d16_rn9d16,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(9,16) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm1d18_rn1d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm1d2_rn9d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm1d3_r3,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm1d8_rn9d8,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(9,8) )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm1d9_r1,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm2d9_r2,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(2),9)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rm9_rnm3d2_rn27d2,axiom,( k3_xcmplx_0(k4_xcmplx_0(9),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(27,2) )).
fof(rqRealMult__k3_xcmplx_0__rn107d5_r1_rn107d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(107,5),1) = k7_xcmplx_0(107,5) )).
fof(rqRealMult__k3_xcmplx_0__rn107d5_r2_rn214d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(107,5),2) = k7_xcmplx_0(214,5) )).
fof(rqRealMult__k3_xcmplx_0__rn119d10_r1_rn119d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(119,10),1) = k7_xcmplx_0(119,10) )).
fof(rqRealMult__k3_xcmplx_0__rn119d10_r2_rn119d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(119,10),2) = k7_xcmplx_0(119,5) )).
fof(rqRealMult__k3_xcmplx_0__rn11d10_r1_rn11d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,10),1) = k7_xcmplx_0(11,10) )).
fof(rqRealMult__k3_xcmplx_0__rn11d10_r2_rn11d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,10),2) = k7_xcmplx_0(11,5) )).
fof(rqRealMult__k3_xcmplx_0__rn11d12_r1_rn11d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,12),1) = k7_xcmplx_0(11,12) )).
fof(rqRealMult__k3_xcmplx_0__rn11d12_r3_rn11d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,12),3) = k7_xcmplx_0(11,4) )).
fof(rqRealMult__k3_xcmplx_0__rn11d15_r3_rn11d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,15),3) = k7_xcmplx_0(11,5) )).
fof(rqRealMult__k3_xcmplx_0__rn11d24_r1_rn11d24,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,24),1) = k7_xcmplx_0(11,24) )).
fof(rqRealMult__k3_xcmplx_0__rn11d24_r4_rn11d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,24),4) = k7_xcmplx_0(11,6) )).
fof(rqRealMult__k3_xcmplx_0__rn11d24_r9_rn33d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,24),9) = k7_xcmplx_0(33,8) )).
fof(rqRealMult__k3_xcmplx_0__rn11d30_r3_rn11d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,30),3) = k7_xcmplx_0(11,10) )).
fof(rqRealMult__k3_xcmplx_0__rn11d3_r1_rn11d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,3),1) = k7_xcmplx_0(11,3) )).
fof(rqRealMult__k3_xcmplx_0__rn11d4_r1_rn11d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,4),1) = k7_xcmplx_0(11,4) )).
fof(rqRealMult__k3_xcmplx_0__rn11d4_rnm4d3_rnm11d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealMult__k3_xcmplx_0__rn11d5_r1_rn11d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,5),1) = k7_xcmplx_0(11,5) )).
fof(rqRealMult__k3_xcmplx_0__rn11d5_r2_rn22d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,5),2) = k7_xcmplx_0(22,5) )).
fof(rqRealMult__k3_xcmplx_0__rn11d5_r3_rn33d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,5),3) = k7_xcmplx_0(33,5) )).
fof(rqRealMult__k3_xcmplx_0__rn11d6_r1_rn11d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,6),1) = k7_xcmplx_0(11,6) )).
fof(rqRealMult__k3_xcmplx_0__rn11d6_r4_rn22d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,6),4) = k7_xcmplx_0(22,3) )).
fof(rqRealMult__k3_xcmplx_0__rn11d8_r1_rn11d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(11,8),1) = k7_xcmplx_0(11,8) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_r1_rn121d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),1) = k7_xcmplx_0(121,2) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rn1d10_rn121d20,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(1,10)) = k7_xcmplx_0(121,20) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rn1d240_rn121d480,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(1,240)) = k7_xcmplx_0(121,480) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rn1d2_rn121d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(121,4) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rn1d60_rn121d120,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(1,60)) = k7_xcmplx_0(121,120) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rn1d80_rn121d160,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(1,80)) = k7_xcmplx_0(121,160) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rn1d8_rn121d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(1,8)) = k7_xcmplx_0(121,16) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rnm1d10_rnm121d20,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(k4_xcmplx_0(121),20) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rnm1d40_rnm121d80,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(k4_xcmplx_0(121),80) )).
fof(rqRealMult__k3_xcmplx_0__rn121d2_rnm1d80_rnm121d160,axiom,( k3_xcmplx_0(k7_xcmplx_0(121,2),k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(k4_xcmplx_0(121),160) )).
fof(rqRealMult__k3_xcmplx_0__rn12d5_r1_rn12d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(12,5),1) = k7_xcmplx_0(12,5) )).
fof(rqRealMult__k3_xcmplx_0__rn12d5_r2_rn24d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(12,5),2) = k7_xcmplx_0(24,5) )).
fof(rqRealMult__k3_xcmplx_0__rn131d10_r1_rn131d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(131,10),1) = k7_xcmplx_0(131,10) )).
fof(rqRealMult__k3_xcmplx_0__rn13d10_r1_rn13d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(13,10),1) = k7_xcmplx_0(13,10) )).
fof(rqRealMult__k3_xcmplx_0__rn13d30_r3_rn13d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(13,30),3) = k7_xcmplx_0(13,10) )).
fof(rqRealMult__k3_xcmplx_0__rn13d42_r1_rn13d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(13,42),1) = k7_xcmplx_0(13,42) )).
fof(rqRealMult__k3_xcmplx_0__rn13d42_r3_rn13d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(13,42),3) = k7_xcmplx_0(13,14) )).
fof(rqRealMult__k3_xcmplx_0__rn13d42_r6_rn13d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(13,42),6) = k7_xcmplx_0(13,7) )).
fof(rqRealMult__k3_xcmplx_0__rn13d5_r1_rn13d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(13,5),1) = k7_xcmplx_0(13,5) )).
fof(rqRealMult__k3_xcmplx_0__rn13d5_r2_rn26d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(13,5),2) = k7_xcmplx_0(26,5) )).
fof(rqRealMult__k3_xcmplx_0__rn15d16_rn1d2_rn15d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(15,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(15,32) )).
fof(rqRealMult__k3_xcmplx_0__rn15d2_r1_rn15d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(15,2),1) = k7_xcmplx_0(15,2) )).
fof(rqRealMult__k3_xcmplx_0__rn15d2_rm4_rm30,axiom,( k3_xcmplx_0(k7_xcmplx_0(15,2),k4_xcmplx_0(4)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rn15d2_rnm3d8_rnm45d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(15,2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(45),16) )).
fof(rqRealMult__k3_xcmplx_0__rn15d32_r1_rn15d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(15,32),1) = k7_xcmplx_0(15,32) )).
fof(rqRealMult__k3_xcmplx_0__rn15d32_rn1d2_rn15d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(15,32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(15,64) )).
fof(rqRealMult__k3_xcmplx_0__rn15d64_r1_rn15d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(15,64),1) = k7_xcmplx_0(15,64) )).
fof(rqRealMult__k3_xcmplx_0__rn16d7_r7_r16,axiom,( k3_xcmplx_0(k7_xcmplx_0(16,7),7) = 16 )).
fof(rqRealMult__k3_xcmplx_0__rn16d7_rn16d7_rn256d49,axiom,( k3_xcmplx_0(k7_xcmplx_0(16,7),k7_xcmplx_0(16,7)) = k7_xcmplx_0(256,49) )).
fof(rqRealMult__k3_xcmplx_0__rn17d10_r1_rn17d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(17,10),1) = k7_xcmplx_0(17,10) )).
fof(rqRealMult__k3_xcmplx_0__rn17d10_r2_rn17d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(17,10),2) = k7_xcmplx_0(17,5) )).
fof(rqRealMult__k3_xcmplx_0__rn17d2_r1_rn17d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(17,2),1) = k7_xcmplx_0(17,2) )).
fof(rqRealMult__k3_xcmplx_0__rn17d2_rm4_rm34,axiom,( k3_xcmplx_0(k7_xcmplx_0(17,2),k4_xcmplx_0(4)) = k4_xcmplx_0(34) )).
fof(rqRealMult__k3_xcmplx_0__rn17d2_rnm3d8_rnm51d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(17,2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(51),16) )).
fof(rqRealMult__k3_xcmplx_0__rn18d5_r1_rn18d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(18,5),1) = k7_xcmplx_0(18,5) )).
fof(rqRealMult__k3_xcmplx_0__rn18d5_r2_rn36d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(18,5),2) = k7_xcmplx_0(36,5) )).
fof(rqRealMult__k3_xcmplx_0__rn19d10_r1_rn19d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(19,10),1) = k7_xcmplx_0(19,10) )).
fof(rqRealMult__k3_xcmplx_0__rn19d10_r2_rn19d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(19,10),2) = k7_xcmplx_0(19,5) )).
fof(rqRealMult__k3_xcmplx_0__rn19d30_r3_rn19d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(19,30),3) = k7_xcmplx_0(19,10) )).
fof(rqRealMult__k3_xcmplx_0__rn19d5_r1_rn19d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(19,5),1) = k7_xcmplx_0(19,5) )).
fof(rqRealMult__k3_xcmplx_0__rn19d5_r2_rn38d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(19,5),2) = k7_xcmplx_0(38,5) )).
fof(rqRealMult__k3_xcmplx_0__rn19d8_r1_rn19d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(19,8),1) = k7_xcmplx_0(19,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r159_rn159d100,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,100),159) = k7_xcmplx_0(159,100) )).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r1_rn1d100,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,100),1) = k7_xcmplx_0(1,100) )).
fof(rqRealMult__k3_xcmplx_0__rn1d108_cr2r0_crn1d54r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,108),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,54),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d108_r1_rn1d108,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,108),1) = k7_xcmplx_0(1,108) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r10_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),10) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r1_rn1d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),1) = k7_xcmplx_0(1,10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r2_rn1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),2) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r3_rn3d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),3) = k7_xcmplx_0(3,10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r4_rn2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),4) = k7_xcmplx_0(2,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r6_rn3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),6) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r9_rn9d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),9) = k7_xcmplx_0(9,10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_rm2_rnm1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d10_rm4_rnm2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,10),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d128_r1_rn1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,128),1) = k7_xcmplx_0(1,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d128_r28_rn7d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,128),28) = k7_xcmplx_0(7,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d128_r35_rn35d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,128),35) = k7_xcmplx_0(35,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d128_r3_rn3d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,128),3) = k7_xcmplx_0(3,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d128_r4_rn1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,128),4) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d128_r56_rn7d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,128),56) = k7_xcmplx_0(7,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d128_r8_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,128),8) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_cr2r0_crn1d6r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r12_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),12) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r1_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),1) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r2_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),2) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r3_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),3) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r4_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),4) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r5_rn5d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),5) = k7_xcmplx_0(5,12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r9_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,12),9) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d14_r1_rn1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,14),1) = k7_xcmplx_0(1,14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d14_r2_rn1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,14),2) = k7_xcmplx_0(1,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d14_r3_rn3d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,14),3) = k7_xcmplx_0(3,14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d14_r6_rn3d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,14),6) = k7_xcmplx_0(3,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d15_r1_rn1d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,15),1) = k7_xcmplx_0(1,15) )).
fof(rqRealMult__k3_xcmplx_0__rn1d15_r2_rn2d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,15),2) = k7_xcmplx_0(2,15) )).
fof(rqRealMult__k3_xcmplx_0__rn1d15_r3_rn1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,15),3) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d168_r1_rn1d168,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,168),1) = k7_xcmplx_0(1,168) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_cr1r0_crn1d16r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_crm1r0_crnm1d16r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r10_rn5d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),10) = k7_xcmplx_0(5,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r12_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),12) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r16_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),16) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r1_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),1) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r256_r16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),256) = 16 )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r25_rn25d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),25) = k7_xcmplx_0(25,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r2_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),2) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r3_rn3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),3) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r4_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),4) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r5_rn5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),5) = k7_xcmplx_0(5,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r6_rn3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),6) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r8_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),8) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_r9_rn9d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),9) = k7_xcmplx_0(9,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rm16_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(16)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rm256_rm16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(256)) = k4_xcmplx_0(16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rm2_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rm3_rnm3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rm4_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rm8_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rm96_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k4_xcmplx_0(96)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rn1d16_rn1d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,256) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rn1d2_rn1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rn1d32_rn1d512,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,32)) = k7_xcmplx_0(1,512) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rn1d8_rn1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rnm1d32_rnm1d512,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(k4_xcmplx_0(1),512) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rnm1d4_rnm1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d16_rnm1d8_rnm1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,16),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d17_r1_rn1d17,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,17),1) = k7_xcmplx_0(1,17) )).
fof(rqRealMult__k3_xcmplx_0__rn1d18_r1_rn1d18,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,18),1) = k7_xcmplx_0(1,18) )).
fof(rqRealMult__k3_xcmplx_0__rn1d21_r1_rn1d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,21),1) = k7_xcmplx_0(1,21) )).
fof(rqRealMult__k3_xcmplx_0__rn1d21_r2_rn2d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,21),2) = k7_xcmplx_0(2,21) )).
fof(rqRealMult__k3_xcmplx_0__rn1d21_r3_rn1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,21),3) = k7_xcmplx_0(1,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d21_r4_rn4d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,21),4) = k7_xcmplx_0(4,21) )).
fof(rqRealMult__k3_xcmplx_0__rn1d21_r6_rn2d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,21),6) = k7_xcmplx_0(2,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d243_r1_rn1d243,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,243),1) = k7_xcmplx_0(1,243) )).
fof(rqRealMult__k3_xcmplx_0__rn1d243_r3_rn1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,243),3) = k7_xcmplx_0(1,81) )).
fof(rqRealMult__k3_xcmplx_0__rn1d243_r9_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,243),9) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r0_r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r12_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),12) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r16_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),16) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r1_rn1d24,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),1) = k7_xcmplx_0(1,24) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r24_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),24) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r2_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),2) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r3_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),3) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r4_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),4) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r64_rn8d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),64) = k7_xcmplx_0(8,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r6_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),6) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r81_rn27d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),81) = k7_xcmplx_0(27,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_r8_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),8) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_rm2_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_rm3_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_rm44_rnm11d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),k4_xcmplx_0(44)) = k7_xcmplx_0(k4_xcmplx_0(11),6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d24_rm8_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,24),k4_xcmplx_0(8)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r120_rn15d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),120) = k7_xcmplx_0(15,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r16_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),16) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r1_rn1d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),1) = k7_xcmplx_0(1,256) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r256_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),256) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r2_rn1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),2) = k7_xcmplx_0(1,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r3_rn3d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),3) = k7_xcmplx_0(3,256) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r64_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),64) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r8_rn1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),8) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_r9_rn9d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),9) = k7_xcmplx_0(9,256) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_rm256_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),k4_xcmplx_0(256)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d256_rm2_rnm1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,256),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_r18_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),18) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_r1_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),1) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_r27_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),27) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_r54_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),54) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_r9_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),9) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_rm27_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),k4_xcmplx_0(27)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_rm3_rnm1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d27_rm81_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,27),k4_xcmplx_0(81)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d28_r1_rn1d28,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,28),1) = k7_xcmplx_0(1,28) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_cr1r0_crn1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_cr1r1_crn1d2rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k1_xcmplx_0,1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_cr2r0_cr1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(2,k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_cr3r0_crn3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_cr4r0_cr2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_crm1r0_crnm1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_crm1r1_crnm1d2rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_crm2r0_crm1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_crm3r0_crnm3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_crn1d2r0_crn1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_crnm1d2r0_crnm1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r16_r8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),16) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r20_r10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),20) = 10 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r256_r128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),256) = 128 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),2) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),3) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r4_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),4) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r5_rn5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),5) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r641_rn641d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),641) = k7_xcmplx_0(641,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r64_r32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),64) = 32 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r6_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),6) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r72_r36,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),72) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r7_rn7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),7) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r8_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),8) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r9_rn9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),9) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm10_rm5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(10)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm11_rnm11d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(11)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm12_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(12)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm14_rm7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(14)) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm16_rm8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(16)) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(2)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm35_rnm35d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(35)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm36_rm18,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(36)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(4)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm5_rnm5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm6_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(6)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm8_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(8)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn159d100_rn159d200,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(159,100)) = k7_xcmplx_0(159,200) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d16_rn1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d24_rn1d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(1,48) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d3_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d4_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d6_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d7_rn1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,7)) = k7_xcmplx_0(1,14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d8_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn2d27_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm159d100_rnm159d200,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(k4_xcmplx_0(159),200) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d24_rnm1d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(k4_xcmplx_0(1),48) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d3_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d4_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d64_rnm1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d6_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d7_rnm1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d8_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm3d2_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm3d4_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm3d8_rnm3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm4d3_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r1_rn1d30,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),1) = k7_xcmplx_0(1,30) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r2_rn1d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),2) = k7_xcmplx_0(1,15) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r30_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),30) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r3_rn1d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),3) = k7_xcmplx_0(1,10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r6_rn1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),6) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_rm30_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),k4_xcmplx_0(30)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_rm39_rnm13d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),k4_xcmplx_0(39)) = k7_xcmplx_0(k4_xcmplx_0(13),10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_rm6_rnm1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),k4_xcmplx_0(6)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_rm90_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),k4_xcmplx_0(90)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d30_rm91_rnm91d30,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,30),k4_xcmplx_0(91)) = k7_xcmplx_0(k4_xcmplx_0(91),30) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r10_rn5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),10) = k7_xcmplx_0(5,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r15_rn15d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),15) = k7_xcmplx_0(15,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r16_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),16) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r1_rn1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),1) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r2_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),2) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r3_rn3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),3) = k7_xcmplx_0(3,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r4_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),4) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r6_rn3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),6) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r7_rn7d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),7) = k7_xcmplx_0(7,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_r8_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),8) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_rm3_rnm3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_rm8_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),k4_xcmplx_0(8)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d32_rn1d2_rn1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d36_cr2r0_crn1d18r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,36),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,18),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d36_r1_rn1d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,36),1) = k7_xcmplx_0(1,36) )).
fof(rqRealMult__k3_xcmplx_0__rn1d36_r25_rn25d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,36),25) = k7_xcmplx_0(25,36) )).
fof(rqRealMult__k3_xcmplx_0__rn1d36_r29_rn29d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,36),29) = k7_xcmplx_0(29,36) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_cr1r0_crn1d3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_crm1r0_crnm1d3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_crm3r0_crm1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_crn3d2r0_crn1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_crnm3d2r0_crnm1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r11_rn11d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),11) = k7_xcmplx_0(11,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r12_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),12) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),1) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),2) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),3) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),4) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r5_rn5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),5) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r6_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),6) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r7_rn7d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),7) = k7_xcmplx_0(7,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(3)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm4_rnm4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm9_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(9)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn1d2_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn1d3_rn1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn1d4_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn1d9_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn2d3_rn2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn3d8_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(3,8)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn9d2_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(9,2)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm1d2_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm1d3_rnm1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm2d3_rnm2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm9d2_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r12_rn2d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),12) = k7_xcmplx_0(2,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r15_rn5d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),15) = k7_xcmplx_0(5,14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r1_rn1d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),1) = k7_xcmplx_0(1,42) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r211_rn211d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),211) = k7_xcmplx_0(211,42) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r216_rn36d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),216) = k7_xcmplx_0(36,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r2_rn1d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),2) = k7_xcmplx_0(1,21) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r3_rn1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),3) = k7_xcmplx_0(1,14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r414_rn69d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),414) = k7_xcmplx_0(69,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r419_rn419d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),419) = k7_xcmplx_0(419,42) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r42_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),42) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r4_rn2d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),4) = k7_xcmplx_0(2,21) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r57_rn19d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),57) = k7_xcmplx_0(19,14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r6_rn1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,42),6) = k7_xcmplx_0(1,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_cr1r0_crn1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_cr2r0_crn1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_cr3r0_crn3d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_cr4r0_cr1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k3_xcmplx_0(4,k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_crm1r0_crnm1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_crm4r0_crm1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r0_r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r12_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),12) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r16_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),16) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r17_rn17d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),17) = k7_xcmplx_0(17,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),1) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r25_rn25d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),25) = k7_xcmplx_0(25,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r28_r7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),28) = 7 )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),2) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),3) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r4_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),4) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r5_rn5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),5) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r6_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),6) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r7_rn7d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),7) = k7_xcmplx_0(7,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r8_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),8) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_r9_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),9) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm12_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(12)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm16_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(16)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(4)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm5_rnm5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm6_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(6)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm7_rnm7d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(7)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rm8_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(8)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn1d16_rn1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn1d27_rn1d108,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,27)) = k7_xcmplx_0(1,108) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn1d2_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn1d32_rn1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,32)) = k7_xcmplx_0(1,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn1d3_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn1d4_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn1d9_rn1d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,36) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rn2d3_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rnm1d4_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rnm3d8_rnm3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d4_rnm4d3_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d512_r8_rn1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,512),8) = k7_xcmplx_0(1,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d54_r1_rn1d54,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,54),1) = k7_xcmplx_0(1,54) )).
fof(rqRealMult__k3_xcmplx_0__rn1d54_r2_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,54),2) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d54_r9_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,54),9) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d54_rm2_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,54),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d54_rm54_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,54),k4_xcmplx_0(54)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_r1_rn1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),1) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_r2_rn2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),2) = k7_xcmplx_0(2,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_r3_rn3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),3) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_r4_rn4d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),4) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_r5_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),5) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_r81_rn81d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),81) = k7_xcmplx_0(81,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_r9_rn9d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),9) = k7_xcmplx_0(9,5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rm12_rnm12d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k4_xcmplx_0(12)) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rm2_rnm2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rm36_rnm36d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k4_xcmplx_0(36)) = k7_xcmplx_0(k4_xcmplx_0(36),5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rm3_rnm3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rm5_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k4_xcmplx_0(5)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rn25d6_rn5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(25,6)) = k7_xcmplx_0(5,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rn7d2_rn7d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(7,2)) = k7_xcmplx_0(7,10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rnm13d2_rnm13d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(k4_xcmplx_0(13),10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rnm19d2_rnm19d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(k4_xcmplx_0(19),2)) = k7_xcmplx_0(k4_xcmplx_0(19),10) )).
fof(rqRealMult__k3_xcmplx_0__rn1d5_rnm91d6_rnm91d30,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,5),k7_xcmplx_0(k4_xcmplx_0(91),6)) = k7_xcmplx_0(k4_xcmplx_0(91),30) )).
fof(rqRealMult__k3_xcmplx_0__rn1d60_r1_rn1d60,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,60),1) = k7_xcmplx_0(1,60) )).
fof(rqRealMult__k3_xcmplx_0__rn1d641_r641_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,641),641) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d641_rm641_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,641),k4_xcmplx_0(641)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_cr1r0_crn1d64r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r1_rn1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),1) = k7_xcmplx_0(1,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r21_rn21d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),21) = k7_xcmplx_0(21,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r28_rn7d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),28) = k7_xcmplx_0(7,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r2_rn1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),2) = k7_xcmplx_0(1,32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r35_rn35d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),35) = k7_xcmplx_0(35,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r4_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),4) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r7_rn7d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),7) = k7_xcmplx_0(7,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r8_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),8) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_rm4_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_rm64_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),k4_xcmplx_0(64)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d64_rn1d2_rn1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,64),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_cr1r0_crn1d6r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_cr2r0_crn1d3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r0_r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r12_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),12) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r18_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),18) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r1_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),1) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r21_rn7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),21) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r25_rn25d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),25) = k7_xcmplx_0(25,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r27_rn9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),27) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r2_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),2) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r3_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),3) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r4_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),4) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r5_rn5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),5) = k7_xcmplx_0(5,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r6_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),6) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r7_rn7d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),7) = k7_xcmplx_0(7,6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r8_rn4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),8) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r9_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),9) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm18_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(18)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm21_rnm7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(21)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm28_rnm14d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(28)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm2_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm38_rnm19d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(38)) = k7_xcmplx_0(k4_xcmplx_0(19),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm39_rnm13d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(39)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm3_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm57_rnm19d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(57)) = k7_xcmplx_0(k4_xcmplx_0(19),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm6_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(6)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm91_rnm91d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k4_xcmplx_0(91)) = k7_xcmplx_0(k4_xcmplx_0(91),6) )).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rnm2d9_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,6),k7_xcmplx_0(k4_xcmplx_0(2),9)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d729_r1_rn1d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,729),1) = k7_xcmplx_0(1,729) )).
fof(rqRealMult__k3_xcmplx_0__rn1d729_r27_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,729),27) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d729_r2_rn2d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,729),2) = k7_xcmplx_0(2,729) )).
fof(rqRealMult__k3_xcmplx_0__rn1d729_r3_rn1d243,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,729),3) = k7_xcmplx_0(1,243) )).
fof(rqRealMult__k3_xcmplx_0__rn1d729_rm3_rnm1d243,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,729),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),243) )).
fof(rqRealMult__k3_xcmplx_0__rn1d72_r1_rn1d72,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,72),1) = k7_xcmplx_0(1,72) )).
fof(rqRealMult__k3_xcmplx_0__rn1d72_r4_rn1d18,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,72),4) = k7_xcmplx_0(1,18) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r16_rn16d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),16) = k7_xcmplx_0(16,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r1_rn1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),1) = k7_xcmplx_0(1,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r3_rn3d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),3) = k7_xcmplx_0(3,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r6_rn6d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),6) = k7_xcmplx_0(6,7) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r7_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),7) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_rm14_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),k4_xcmplx_0(14)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_rm7_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),k4_xcmplx_0(7)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_rn1d2_rn1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d7_rnm1d2_rnm1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,7),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealMult__k3_xcmplx_0__rn1d81_r1_rn1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,81),1) = k7_xcmplx_0(1,81) )).
fof(rqRealMult__k3_xcmplx_0__rn1d81_r9_rn1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,81),9) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d81_rm2_rnm2d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,81),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(2),81) )).
fof(rqRealMult__k3_xcmplx_0__rn1d81_rn1d9_rn1d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,81),k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,729) )).
fof(rqRealMult__k3_xcmplx_0__rn1d81_rnm1d9_rnm1d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,81),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(k4_xcmplx_0(1),729) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_cr1r0_crn1d8r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(1,8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_cr2r0_crn1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_crm1r0_crnm1d8r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r10_rn5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),10) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r12_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),12) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r16_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),16) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r1_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),1) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r25_rn25d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),25) = k7_xcmplx_0(25,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r2_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),2) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r32_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),32) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r3_rn3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),3) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r49_rn49d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),49) = k7_xcmplx_0(49,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r4_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),4) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r5_rn5d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),5) = k7_xcmplx_0(5,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r6_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),6) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r7_rn7d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),7) = k7_xcmplx_0(7,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r8_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),8) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_r9_rn9d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),9) = k7_xcmplx_0(9,8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm16_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(16)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm24_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(24)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm2_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm3_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm4_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm5_rnm5d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm7_rnm7d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(7)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rm8_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k4_xcmplx_0(8)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rn1d16_rn1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,16)) = k7_xcmplx_0(1,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rn1d2_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rn1d32_rn1d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,32)) = k7_xcmplx_0(1,256) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rn1d8_rn1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,64) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rn1d9_rn1d72,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,72) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rn3d16_rn3d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(3,16)) = k7_xcmplx_0(3,128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rnm1d16_rnm1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rnm1d2_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rn1d8_rnm1d4_rnm1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,8),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_r10_rn10d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),10) = k7_xcmplx_0(10,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_r16_rn16d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),16) = k7_xcmplx_0(16,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_r1_rn1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),1) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_r20_rn20d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),20) = k7_xcmplx_0(20,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_r2_rn2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),2) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_r3_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),3) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_r9_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),9) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_rm3_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_rm9_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),k4_xcmplx_0(9)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_rn1d3_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_rn1d81_rn1d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(1,81)) = k7_xcmplx_0(1,729) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_rn1d9_rn1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(1,9)) = k7_xcmplx_0(1,81) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_rnm1d9_rnm1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(k4_xcmplx_0(1),81) )).
fof(rqRealMult__k3_xcmplx_0__rn1d9_rnm2d81_rnm2d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(1,9),k7_xcmplx_0(k4_xcmplx_0(2),81)) = k7_xcmplx_0(k4_xcmplx_0(2),729) )).
fof(rqRealMult__k3_xcmplx_0__rn20d9_r9_r20,axiom,( k3_xcmplx_0(k7_xcmplx_0(20,9),9) = 20 )).
fof(rqRealMult__k3_xcmplx_0__rn20d9_rn20d9_rn400d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(20,9),k7_xcmplx_0(20,9)) = k7_xcmplx_0(400,81) )).
fof(rqRealMult__k3_xcmplx_0__rn21d10_r1_rn21d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(21,10),1) = k7_xcmplx_0(21,10) )).
fof(rqRealMult__k3_xcmplx_0__rn21d10_r2_rn21d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(21,10),2) = k7_xcmplx_0(21,5) )).
fof(rqRealMult__k3_xcmplx_0__rn21d128_r1_rn21d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(21,128),1) = k7_xcmplx_0(21,128) )).
fof(rqRealMult__k3_xcmplx_0__rn21d2_r1_rn21d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(21,2),1) = k7_xcmplx_0(21,2) )).
fof(rqRealMult__k3_xcmplx_0__rn21d4_r1_rn21d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(21,4),1) = k7_xcmplx_0(21,4) )).
fof(rqRealMult__k3_xcmplx_0__rn21d64_r1_rn21d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(21,64),1) = k7_xcmplx_0(21,64) )).
fof(rqRealMult__k3_xcmplx_0__rn21d64_rn1d2_rn21d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(21,64),k7_xcmplx_0(1,2)) = k7_xcmplx_0(21,128) )).
fof(rqRealMult__k3_xcmplx_0__rn23d10_r1_rn23d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(23,10),1) = k7_xcmplx_0(23,10) )).
fof(rqRealMult__k3_xcmplx_0__rn24d5_r1_rn24d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(24,5),1) = k7_xcmplx_0(24,5) )).
fof(rqRealMult__k3_xcmplx_0__rn24d5_r2_rn48d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(24,5),2) = k7_xcmplx_0(48,5) )).
fof(rqRealMult__k3_xcmplx_0__rn25d16_r4_rn25d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(25,16),4) = k7_xcmplx_0(25,4) )).
fof(rqRealMult__k3_xcmplx_0__rn25d4_r1_rn25d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(25,4),1) = k7_xcmplx_0(25,4) )).
fof(rqRealMult__k3_xcmplx_0__rn26d5_r1_rn26d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(26,5),1) = k7_xcmplx_0(26,5) )).
fof(rqRealMult__k3_xcmplx_0__rn27d10_r1_rn27d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(27,10),1) = k7_xcmplx_0(27,10) )).
fof(rqRealMult__k3_xcmplx_0__rn27d10_r2_rn27d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(27,10),2) = k7_xcmplx_0(27,5) )).
fof(rqRealMult__k3_xcmplx_0__rn27d4_r1_rn27d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(27,4),1) = k7_xcmplx_0(27,4) )).
fof(rqRealMult__k3_xcmplx_0__rn27d4_r8_r54,axiom,( k3_xcmplx_0(k7_xcmplx_0(27,4),8) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rn29d12_r2_rn29d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(29,12),2) = k7_xcmplx_0(29,6) )).
fof(rqRealMult__k3_xcmplx_0__rn29d5_r1_rn29d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(29,5),1) = k7_xcmplx_0(29,5) )).
fof(rqRealMult__k3_xcmplx_0__rn29d5_r2_rn58d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(29,5),2) = k7_xcmplx_0(58,5) )).
fof(rqRealMult__k3_xcmplx_0__rn29d5_r3_rn87d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(29,5),3) = k7_xcmplx_0(87,5) )).
fof(rqRealMult__k3_xcmplx_0__rn2d15_r1_rn2d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,15),1) = k7_xcmplx_0(2,15) )).
fof(rqRealMult__k3_xcmplx_0__rn2d15_r2_rn4d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,15),2) = k7_xcmplx_0(4,15) )).
fof(rqRealMult__k3_xcmplx_0__rn2d21_r1_rn2d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,21),1) = k7_xcmplx_0(2,21) )).
fof(rqRealMult__k3_xcmplx_0__rn2d21_r2_rn4d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,21),2) = k7_xcmplx_0(4,21) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_crn3d2r0_cr1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_crnm3d2r0_crm1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r0_r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),0) = 0 )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),1) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),2) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),3) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k4_xcmplx_0(3)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn1d3_rn2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn2d3_rn4d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(4,9) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(3,2)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn4d9_rn8d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(4,9)) = k7_xcmplx_0(8,27) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm2d3_rnm4d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm9d2_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn2d5_r1_rn2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,5),1) = k7_xcmplx_0(2,5) )).
fof(rqRealMult__k3_xcmplx_0__rn2d5_r2_rn4d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,5),2) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__rn2d5_r3_rn6d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,5),3) = k7_xcmplx_0(6,5) )).
fof(rqRealMult__k3_xcmplx_0__rn2d5_r4_rn8d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,5),4) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__rn2d729_r27_rn2d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,729),27) = k7_xcmplx_0(2,27) )).
fof(rqRealMult__k3_xcmplx_0__rn2d7_r1_rn2d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,7),1) = k7_xcmplx_0(2,7) )).
fof(rqRealMult__k3_xcmplx_0__rn2d9_r1_rn2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,9),1) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__rn2d9_r3_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,9),3) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rn2d9_rnm3d2_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(2,9),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rn31d10_r1_rn31d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(31,10),1) = k7_xcmplx_0(31,10) )).
fof(rqRealMult__k3_xcmplx_0__rn31d10_r2_rn31d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(31,10),2) = k7_xcmplx_0(31,5) )).
fof(rqRealMult__k3_xcmplx_0__rn31d12_r1_rn31d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(31,12),1) = k7_xcmplx_0(31,12) )).
fof(rqRealMult__k3_xcmplx_0__rn31d4_r1_rn31d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(31,4),1) = k7_xcmplx_0(31,4) )).
fof(rqRealMult__k3_xcmplx_0__rn31d4_rm4_rm31,axiom,( k3_xcmplx_0(k7_xcmplx_0(31,4),k4_xcmplx_0(4)) = k4_xcmplx_0(31) )).
fof(rqRealMult__k3_xcmplx_0__rn31d4_rnm3d8_rnm93d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(31,4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(93),32) )).
fof(rqRealMult__k3_xcmplx_0__rn35d64_r1_rn35d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(35,64),1) = k7_xcmplx_0(35,64) )).
fof(rqRealMult__k3_xcmplx_0__rn35d64_rn1d2_rn35d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(35,64),k7_xcmplx_0(1,2)) = k7_xcmplx_0(35,128) )).
fof(rqRealMult__k3_xcmplx_0__rn36d5_r1_rn36d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(36,5),1) = k7_xcmplx_0(36,5) )).
fof(rqRealMult__k3_xcmplx_0__rn36d7_r1_rn36d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(36,7),1) = k7_xcmplx_0(36,7) )).
fof(rqRealMult__k3_xcmplx_0__rn37d3_r1_rn37d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(37,3),1) = k7_xcmplx_0(37,3) )).
fof(rqRealMult__k3_xcmplx_0__rn39d10_r1_rn39d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(39,10),1) = k7_xcmplx_0(39,10) )).
fof(rqRealMult__k3_xcmplx_0__rn39d5_r1_rn39d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(39,5),1) = k7_xcmplx_0(39,5) )).
fof(rqRealMult__k3_xcmplx_0__rn39d5_r2_rn78d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(39,5),2) = k7_xcmplx_0(78,5) )).
fof(rqRealMult__k3_xcmplx_0__rn3d10_r1_rn3d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,10),1) = k7_xcmplx_0(3,10) )).
fof(rqRealMult__k3_xcmplx_0__rn3d10_r2_rn3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,10),2) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__rn3d10_r3_rn9d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,10),3) = k7_xcmplx_0(9,10) )).
fof(rqRealMult__k3_xcmplx_0__rn3d10_r4_rn6d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,10),4) = k7_xcmplx_0(6,5) )).
fof(rqRealMult__k3_xcmplx_0__rn3d14_r1_rn3d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,14),1) = k7_xcmplx_0(3,14) )).
fof(rqRealMult__k3_xcmplx_0__rn3d14_r3_rn9d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,14),3) = k7_xcmplx_0(9,14) )).
fof(rqRealMult__k3_xcmplx_0__rn3d14_r6_rn9d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,14),6) = k7_xcmplx_0(9,7) )).
fof(rqRealMult__k3_xcmplx_0__rn3d16_cr1r0_crn3d16r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(3,16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d16_crm1r0_crnm3d16r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,16),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d16_r1_rn3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,16),1) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rn3d16_rn1d2_rn3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,32) )).
fof(rqRealMult__k3_xcmplx_0__rn3d16_rnm1d4_rnm3d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealMult__k3_xcmplx_0__rn3d256_r1_rn3d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,256),1) = k7_xcmplx_0(3,256) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_cr1r0_crn3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_cr2r0_cr3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_cr4r0_cr6r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(6,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_crm1r0_crnm3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),1) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),2) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r3_rn9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),3) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r4_r6,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),4) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm12_rm18,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(12)) = k4_xcmplx_0(18) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(2)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm3_rnm9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm4_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(4)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm5_rnm15d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d2_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn2d27_rn1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(2,3)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn3d2_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn3d5_rn9d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,5)) = k7_xcmplx_0(9,10) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d2_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm3d8_rnm9d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d32_r1_rn3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,32),1) = k7_xcmplx_0(3,32) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_cr1r0_crn3d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_cr2r0_crn3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_cr4r0_cr3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_crm4r0_crm3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),1) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),2) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_r3_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),3) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_r4_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),4) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm3_rnm9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(4)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm5_rnm15d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm7_rnm21d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(7)) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rm8_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(8)) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rn1d2_rn3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rn3d4_rn9d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(9,16) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(4,3)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rnm3d8_rnm9d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(9),32) )).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn3d5_r1_rn3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,5),1) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__rn3d5_r2_rn6d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,5),2) = k7_xcmplx_0(6,5) )).
fof(rqRealMult__k3_xcmplx_0__rn3d5_r4_rn12d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,5),4) = k7_xcmplx_0(12,5) )).
fof(rqRealMult__k3_xcmplx_0__rn3d5_rn3d2_rn9d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,5),k7_xcmplx_0(3,2)) = k7_xcmplx_0(9,10) )).
fof(rqRealMult__k3_xcmplx_0__rn3d8_r1_rn3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,8),1) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rn3d8_r2_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,8),2) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rn3d8_rn1d2_rn3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(3,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rn419d42_r1_rn419d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(419,42),1) = k7_xcmplx_0(419,42) )).
fof(rqRealMult__k3_xcmplx_0__rn41d12_r2_rn41d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(41,12),2) = k7_xcmplx_0(41,6) )).
fof(rqRealMult__k3_xcmplx_0__rn47d5_r1_rn47d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(47,5),1) = k7_xcmplx_0(47,5) )).
fof(rqRealMult__k3_xcmplx_0__rn49d5_r1_rn49d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(49,5),1) = k7_xcmplx_0(49,5) )).
fof(rqRealMult__k3_xcmplx_0__rn49d5_r2_rn98d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(49,5),2) = k7_xcmplx_0(98,5) )).
fof(rqRealMult__k3_xcmplx_0__rn49d729_rn729d343_rn1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(49,729),k7_xcmplx_0(729,343)) = k7_xcmplx_0(1,7) )).
fof(rqRealMult__k3_xcmplx_0__rn49d81_rn7d9_rn343d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(49,81),k7_xcmplx_0(7,9)) = k7_xcmplx_0(343,729) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_crn3d2r0_cr2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_crnm3d2r0_crm2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),1) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_r2_rn8d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),2) = k7_xcmplx_0(8,3) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_r3_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),3) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rm3_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k4_xcmplx_0(3)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn1d2_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn1d8_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(1,8)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn3d2_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(3,2)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(3,4)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rn3d8_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(3,8)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d2_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d8_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d2_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d8_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn4d5_r1_rn4d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,5),1) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__rn4d5_r2_rn8d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,5),2) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__rn4d5_r3_rn12d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,5),3) = k7_xcmplx_0(12,5) )).
fof(rqRealMult__k3_xcmplx_0__rn4d5_rm2_rnm8d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,5),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealMult__k3_xcmplx_0__rn4d5_rm5_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,5),k4_xcmplx_0(5)) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rn4d9_r1_rn4d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,9),1) = k7_xcmplx_0(4,9) )).
fof(rqRealMult__k3_xcmplx_0__rn4d9_rn2d3_rn8d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,9),k7_xcmplx_0(2,3)) = k7_xcmplx_0(8,27) )).
fof(rqRealMult__k3_xcmplx_0__rn4d9_rnm3d2_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(4,9),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rn53d2_crm2r0_crm53r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(53,2),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(53),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn53d2_r1_rn53d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(53,2),1) = k7_xcmplx_0(53,2) )).
fof(rqRealMult__k3_xcmplx_0__rn53d2_r2_r53,axiom,( k3_xcmplx_0(k7_xcmplx_0(53,2),2) = 53 )).
fof(rqRealMult__k3_xcmplx_0__rn53d2_rm2_rm53,axiom,( k3_xcmplx_0(k7_xcmplx_0(53,2),k4_xcmplx_0(2)) = k4_xcmplx_0(53) )).
fof(rqRealMult__k3_xcmplx_0__rn53d2_rn2d27_rn53d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(53,2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(53,27) )).
fof(rqRealMult__k3_xcmplx_0__rn53d2_rnm1d3_rnm53d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(53,2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(53),6) )).
fof(rqRealMult__k3_xcmplx_0__rn55d2_r1_rn55d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(55,2),1) = k7_xcmplx_0(55,2) )).
fof(rqRealMult__k3_xcmplx_0__rn55d2_r2_r55,axiom,( k3_xcmplx_0(k7_xcmplx_0(55,2),2) = 55 )).
fof(rqRealMult__k3_xcmplx_0__rn55d2_rn2d27_rn55d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(55,2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(55,27) )).
fof(rqRealMult__k3_xcmplx_0__rn55d2_rnm1d3_rnm55d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(55,2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(55),6) )).
fof(rqRealMult__k3_xcmplx_0__rn57d10_r1_rn57d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(57,10),1) = k7_xcmplx_0(57,10) )).
fof(rqRealMult__k3_xcmplx_0__rn57d10_r2_rn57d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(57,10),2) = k7_xcmplx_0(57,5) )).
fof(rqRealMult__k3_xcmplx_0__rn59d5_r1_rn59d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(59,5),1) = k7_xcmplx_0(59,5) )).
fof(rqRealMult__k3_xcmplx_0__rn59d5_r2_rn118d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(59,5),2) = k7_xcmplx_0(118,5) )).
fof(rqRealMult__k3_xcmplx_0__rn5d12_r1_rn5d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,12),1) = k7_xcmplx_0(5,12) )).
fof(rqRealMult__k3_xcmplx_0__rn5d12_r2_rn5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,12),2) = k7_xcmplx_0(5,6) )).
fof(rqRealMult__k3_xcmplx_0__rn5d12_r3_rn5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,12),3) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rn5d14_r1_rn5d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,14),1) = k7_xcmplx_0(5,14) )).
fof(rqRealMult__k3_xcmplx_0__rn5d16_r1_rn5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,16),1) = k7_xcmplx_0(5,16) )).
fof(rqRealMult__k3_xcmplx_0__rn5d16_rn1d2_rn5d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,32) )).
fof(rqRealMult__k3_xcmplx_0__rn5d24_r12_rn5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,24),12) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d24_r1_rn5d24,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,24),1) = k7_xcmplx_0(5,24) )).
fof(rqRealMult__k3_xcmplx_0__rn5d24_r3_rn5d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,24),3) = k7_xcmplx_0(5,8) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_r1_rn5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),1) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_r2_r5,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),2) = 5 )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_rm12_rm30,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),k4_xcmplx_0(12)) = k4_xcmplx_0(30) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_rm5_rnm25d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_rn1d2_rn5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_rn1d5_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(1,5)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_rn5d2_rn25d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(5,2)) = k7_xcmplx_0(25,4) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_rnm1d2_rnm5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__rn5d2_rnm2d5_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,2),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rn5d32_r1_rn5d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,32),1) = k7_xcmplx_0(5,32) )).
fof(rqRealMult__k3_xcmplx_0__rn5d3_crn3d2r0_crn5d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(5,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rn5d3_r1_rn5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,3),1) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__rn5d3_r2_rn10d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,3),2) = k7_xcmplx_0(10,3) )).
fof(rqRealMult__k3_xcmplx_0__rn5d3_r3_r5,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,3),3) = 5 )).
fof(rqRealMult__k3_xcmplx_0__rn5d3_r5_rn25d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,3),5) = k7_xcmplx_0(25,3) )).
fof(rqRealMult__k3_xcmplx_0__rn5d3_rn3d2_rn5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d42_r1_rn5d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,42),1) = k7_xcmplx_0(5,42) )).
fof(rqRealMult__k3_xcmplx_0__rn5d42_r2_rn5d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,42),2) = k7_xcmplx_0(5,21) )).
fof(rqRealMult__k3_xcmplx_0__rn5d4_r1_rn5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,4),1) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rn5d4_r2_rn5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,4),2) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d4_r3_rn15d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,4),3) = k7_xcmplx_0(15,4) )).
fof(rqRealMult__k3_xcmplx_0__rn5d4_rn4d5_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(4,5)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rn5d4_rnm1d5_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rn5d4_rnm2d5_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d4_rnm4d3_rnm5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealMult__k3_xcmplx_0__rn5d6_r1_rn5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,6),1) = k7_xcmplx_0(5,6) )).
fof(rqRealMult__k3_xcmplx_0__rn5d6_r2_rn5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,6),2) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__rn5d6_rm3_rnm5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,6),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rn5d6_rn5d6_rn25d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,6),k7_xcmplx_0(5,6)) = k7_xcmplx_0(25,36) )).
fof(rqRealMult__k3_xcmplx_0__rn5d8_r1_rn5d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,8),1) = k7_xcmplx_0(5,8) )).
fof(rqRealMult__k3_xcmplx_0__rn5d8_rn1d2_rn5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(5,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(5,16) )).
fof(rqRealMult__k3_xcmplx_0__rn69d10_r1_rn69d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(69,10),1) = k7_xcmplx_0(69,10) )).
fof(rqRealMult__k3_xcmplx_0__rn69d10_r2_rn69d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(69,10),2) = k7_xcmplx_0(69,5) )).
fof(rqRealMult__k3_xcmplx_0__rn6d5_r1_rn6d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(6,5),1) = k7_xcmplx_0(6,5) )).
fof(rqRealMult__k3_xcmplx_0__rn6d5_r2_rn12d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(6,5),2) = k7_xcmplx_0(12,5) )).
fof(rqRealMult__k3_xcmplx_0__rn6d5_r3_rn18d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(6,5),3) = k7_xcmplx_0(18,5) )).
fof(rqRealMult__k3_xcmplx_0__rn6d5_r4_rn24d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(6,5),4) = k7_xcmplx_0(24,5) )).
fof(rqRealMult__k3_xcmplx_0__rn729d343_r1_rn729d343,axiom,( k3_xcmplx_0(k7_xcmplx_0(729,343),1) = k7_xcmplx_0(729,343) )).
fof(rqRealMult__k3_xcmplx_0__rn729d343_rn49d729_rn1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(729,343),k7_xcmplx_0(49,729)) = k7_xcmplx_0(1,7) )).
fof(rqRealMult__k3_xcmplx_0__rn78d5_r2_rn156d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(78,5),2) = k7_xcmplx_0(156,5) )).
fof(rqRealMult__k3_xcmplx_0__rn7d10_r2_rn7d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,10),2) = k7_xcmplx_0(7,5) )).
fof(rqRealMult__k3_xcmplx_0__rn7d10_r4_rn14d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,10),4) = k7_xcmplx_0(14,5) )).
fof(rqRealMult__k3_xcmplx_0__rn7d128_r1_rn7d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,128),1) = k7_xcmplx_0(7,128) )).
fof(rqRealMult__k3_xcmplx_0__rn7d16_rn1d2_rn7d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,32) )).
fof(rqRealMult__k3_xcmplx_0__rn7d24_r1_rn7d24,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,24),1) = k7_xcmplx_0(7,24) )).
fof(rqRealMult__k3_xcmplx_0__rn7d2_r1_rn7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,2),1) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__rn7d2_r2_r7,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,2),2) = 7 )).
fof(rqRealMult__k3_xcmplx_0__rn7d2_rm12_rm42,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,2),k4_xcmplx_0(12)) = k4_xcmplx_0(42) )).
fof(rqRealMult__k3_xcmplx_0__rn7d2_rm4_rm14,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,2),k4_xcmplx_0(4)) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__rn7d2_rm5_rnm35d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,2),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealMult__k3_xcmplx_0__rn7d2_rnm3d8_rnm21d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(k4_xcmplx_0(21),16) )).
fof(rqRealMult__k3_xcmplx_0__rn7d30_r2_rn7d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,30),2) = k7_xcmplx_0(7,15) )).
fof(rqRealMult__k3_xcmplx_0__rn7d32_rn1d2_rn7d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,64) )).
fof(rqRealMult__k3_xcmplx_0__rn7d3_r1_rn7d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,3),1) = k7_xcmplx_0(7,3) )).
fof(rqRealMult__k3_xcmplx_0__rn7d3_r2_rn14d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,3),2) = k7_xcmplx_0(14,3) )).
fof(rqRealMult__k3_xcmplx_0__rn7d3_r3_r7,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,3),3) = 7 )).
fof(rqRealMult__k3_xcmplx_0__rn7d3_rn7d3_rn49d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,3),k7_xcmplx_0(7,3)) = k7_xcmplx_0(49,9) )).
fof(rqRealMult__k3_xcmplx_0__rn7d4_r1_rn7d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,4),1) = k7_xcmplx_0(7,4) )).
fof(rqRealMult__k3_xcmplx_0__rn7d5_r1_rn7d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,5),1) = k7_xcmplx_0(7,5) )).
fof(rqRealMult__k3_xcmplx_0__rn7d5_r2_rn14d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,5),2) = k7_xcmplx_0(14,5) )).
fof(rqRealMult__k3_xcmplx_0__rn7d5_r3_rn21d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,5),3) = k7_xcmplx_0(21,5) )).
fof(rqRealMult__k3_xcmplx_0__rn7d64_r1_rn7d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,64),1) = k7_xcmplx_0(7,64) )).
fof(rqRealMult__k3_xcmplx_0__rn7d64_rn1d2_rn7d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,64),k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,128) )).
fof(rqRealMult__k3_xcmplx_0__rn7d6_r1_rn7d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,6),1) = k7_xcmplx_0(7,6) )).
fof(rqRealMult__k3_xcmplx_0__rn7d6_r5_rn35d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,6),5) = k7_xcmplx_0(35,6) )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_r1_rn7d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),1) = k7_xcmplx_0(7,8) )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_r8_r7,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),8) = 7 )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_rm3_rnm21d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(21),8) )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_rm4_rnm7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_rm5_rnm35d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(35),8) )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_rm7_rnm49d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),k4_xcmplx_0(7)) = k7_xcmplx_0(k4_xcmplx_0(49),8) )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_rm8_rm7,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),k4_xcmplx_0(8)) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__rn7d8_rn1d2_rn7d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(7,16) )).
fof(rqRealMult__k3_xcmplx_0__rn7d9_rn49d81_rn343d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(49,81)) = k7_xcmplx_0(343,729) )).
fof(rqRealMult__k3_xcmplx_0__rn7d9_rn7d9_rn49d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(7,9),k7_xcmplx_0(7,9)) = k7_xcmplx_0(49,81) )).
fof(rqRealMult__k3_xcmplx_0__rn87d5_r1_rn87d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(87,5),1) = k7_xcmplx_0(87,5) )).
fof(rqRealMult__k3_xcmplx_0__rn89d5_r1_rn89d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(89,5),1) = k7_xcmplx_0(89,5) )).
fof(rqRealMult__k3_xcmplx_0__rn8d3_r2_rn16d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(8,3),2) = k7_xcmplx_0(16,3) )).
fof(rqRealMult__k3_xcmplx_0__rn8d5_r1_rn8d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(8,5),1) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__rn8d5_r2_rn16d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(8,5),2) = k7_xcmplx_0(16,5) )).
fof(rqRealMult__k3_xcmplx_0__rn8d5_r4_rn32d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(8,5),4) = k7_xcmplx_0(32,5) )).
fof(rqRealMult__k3_xcmplx_0__rn8d9_r1_rn8d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(8,9),1) = k7_xcmplx_0(8,9) )).
fof(rqRealMult__k3_xcmplx_0__rn8d9_r9_r8,axiom,( k3_xcmplx_0(k7_xcmplx_0(8,9),9) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rn8d9_rm3_rnm8d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(8,9),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealMult__k3_xcmplx_0__rn9d10_r1_rn9d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,10),1) = k7_xcmplx_0(9,10) )).
fof(rqRealMult__k3_xcmplx_0__rn9d10_r2_rn9d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,10),2) = k7_xcmplx_0(9,5) )).
fof(rqRealMult__k3_xcmplx_0__rn9d10_r4_rn18d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,10),4) = k7_xcmplx_0(18,5) )).
fof(rqRealMult__k3_xcmplx_0__rn9d16_r4_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,16),4) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rn9d256_r1_rn9d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,256),1) = k7_xcmplx_0(9,256) )).
fof(rqRealMult__k3_xcmplx_0__rn9d2_r1_rn9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,2),1) = k7_xcmplx_0(9,2) )).
fof(rqRealMult__k3_xcmplx_0__rn9d2_r2_r9,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,2),2) = 9 )).
fof(rqRealMult__k3_xcmplx_0__rn9d2_rm12_rm54,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,2),k4_xcmplx_0(12)) = k4_xcmplx_0(54) )).
fof(rqRealMult__k3_xcmplx_0__rn9d2_rm5_rnm45d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,2),k4_xcmplx_0(5)) = k7_xcmplx_0(k4_xcmplx_0(45),2) )).
fof(rqRealMult__k3_xcmplx_0__rn9d4_r1_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,4),1) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rn9d4_rnm4d3_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rn9d5_r1_rn9d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,5),1) = k7_xcmplx_0(9,5) )).
fof(rqRealMult__k3_xcmplx_0__rn9d5_r2_rn18d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(9,5),2) = k7_xcmplx_0(18,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm10d9_r1_rnm10d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),9),1) = k7_xcmplx_0(k4_xcmplx_0(10),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm10d9_r9_rm10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),9),9) = k4_xcmplx_0(10) )).
fof(rqRealMult__k3_xcmplx_0__rnm10d9_rm3_rn10d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),9),k4_xcmplx_0(3)) = k7_xcmplx_0(10,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d12_r1_rnm11d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),12),1) = k7_xcmplx_0(k4_xcmplx_0(11),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d12_r4_rnm11d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),12),4) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d12_r5_rnm55d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),12),5) = k7_xcmplx_0(k4_xcmplx_0(55),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d12_rm2_rn11d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),12),k4_xcmplx_0(2)) = k7_xcmplx_0(11,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d12_rm8_rn22d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),12),k4_xcmplx_0(8)) = k7_xcmplx_0(22,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d21_r3_rnm11d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),21),3) = k7_xcmplx_0(k4_xcmplx_0(11),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d2_r1_rnm11d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2),1) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d42_r3_rnm11d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),42),3) = k7_xcmplx_0(k4_xcmplx_0(11),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d4_cr4r0_crm11r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(11),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d4_crm4r0_cr11r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(11,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d4_r1_rnm11d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),1) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d4_r4_rm11,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),4) = k4_xcmplx_0(11) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d4_rm4_r11,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),k4_xcmplx_0(4)) = 11 )).
fof(rqRealMult__k3_xcmplx_0__rnm11d4_rnm4d3_rn11d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(11,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm11d6_r2_rnm11d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),6),2) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm127d2_cr4r0_crm254r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(127),2),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(254),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm127d2_r1_rnm127d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(127),2),1) = k7_xcmplx_0(k4_xcmplx_0(127),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm127d2_r4_rm254,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(127),2),4) = k4_xcmplx_0(254) )).
fof(rqRealMult__k3_xcmplx_0__rnm129d2_cr4r0_crm258r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(129),2),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(258),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm129d2_r1_rnm129d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(129),2),1) = k7_xcmplx_0(k4_xcmplx_0(129),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm129d2_r4_rm258,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(129),2),4) = k4_xcmplx_0(258) )).
fof(rqRealMult__k3_xcmplx_0__rnm12d5_r1_rnm12d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12),5),1) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm13d42_r3_rnm13d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),42),3) = k7_xcmplx_0(k4_xcmplx_0(13),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm13d4_cr4r0_crm13r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm13d4_crm4r0_cr13r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(13,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm13d4_r1_rnm13d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),1) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm13d4_r4_rm13,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),4) = k4_xcmplx_0(13) )).
fof(rqRealMult__k3_xcmplx_0__rnm13d4_rm4_r13,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4),k4_xcmplx_0(4)) = 13 )).
fof(rqRealMult__k3_xcmplx_0__rnm15d2_r1_rnm15d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),2),1) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm15d32_rn1d2_rnm15d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(15),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm15d4_r1_rnm15d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),4),1) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm15d4_rm4_r15,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),4),k4_xcmplx_0(4)) = 15 )).
fof(rqRealMult__k3_xcmplx_0__rnm15d4_rnm3d8_rn45d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(45,32) )).
fof(rqRealMult__k3_xcmplx_0__rnm15d64_r1_rnm15d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),64),1) = k7_xcmplx_0(k4_xcmplx_0(15),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm17d6_r1_rnm17d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),6),1) = k7_xcmplx_0(k4_xcmplx_0(17),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm17d6_r2_rnm17d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),6),2) = k7_xcmplx_0(k4_xcmplx_0(17),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm19d2_r1_rnm19d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),2),1) = k7_xcmplx_0(k4_xcmplx_0(19),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm19d2_r2_rm19,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),2),2) = k4_xcmplx_0(19) )).
fof(rqRealMult__k3_xcmplx_0__rnm19d42_r3_rnm19d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),42),3) = k7_xcmplx_0(k4_xcmplx_0(19),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d108_cr2r0_crnm1d54r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),108),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),54),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d108_r1_rnm1d108,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),108),1) = k7_xcmplx_0(k4_xcmplx_0(1),108) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_r1_rnm1d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10),1) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_r2_rnm1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10),2) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d128_r1_rnm1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),128),1) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d128_r3_rnm3d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),128),3) = k7_xcmplx_0(k4_xcmplx_0(3),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d128_r4_rnm1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),128),4) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d128_r56_rnm7d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),128),56) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d128_r8_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),128),8) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_cr2r0_crnm1d6r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r1_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),1) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r256_rnm64d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),256) = k7_xcmplx_0(k4_xcmplx_0(64),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r2_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),2) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r3_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),3) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r4_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),4) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r512_rnm128d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),512) = k7_xcmplx_0(k4_xcmplx_0(128),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r768_rm64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),768) = k4_xcmplx_0(64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r9_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),9) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_rm768_r64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k4_xcmplx_0(768)) = 64 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_rm96_r8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12),k4_xcmplx_0(96)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_rm13_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),13),k4_xcmplx_0(13)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d14_r1_rnm1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),1) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d14_r2_rnm1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),2) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d14_r3_rnm3d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),3) = k7_xcmplx_0(k4_xcmplx_0(3),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d14_r4_rnm2d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14),4) = k7_xcmplx_0(k4_xcmplx_0(2),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d15_r1_rnm1d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),1) = k7_xcmplx_0(k4_xcmplx_0(1),15) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d15_r2_rnm2d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),15),2) = k7_xcmplx_0(k4_xcmplx_0(2),15) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_cr1r0_crnm1d16r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_cr2r0_crnm1d8r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_crm1r0_crn1d16r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r16_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),16) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r1_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),1) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r2_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),2) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r3_rnm3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),3) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r4_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),4) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r5_rnm5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),5) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r6_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),6) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_r8_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),8) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_rm16_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(16)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_rm2_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(2)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_rm3_rn3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(3)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_rm4_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(4)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_rm8_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k4_xcmplx_0(8)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_rn1d2_rnm1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d16_rnm1d4_rn1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d21_r1_rnm1d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),1) = k7_xcmplx_0(k4_xcmplx_0(1),21) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d21_r2_rnm2d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),2) = k7_xcmplx_0(k4_xcmplx_0(2),21) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d21_r3_rnm1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),21),3) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d23_rm23_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),23),k4_xcmplx_0(23)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_r24_rnm1d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),24) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_r3_rnm1d80,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),3) = k7_xcmplx_0(k4_xcmplx_0(1),80) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_r6_rnm1d40,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),6) = k7_xcmplx_0(k4_xcmplx_0(1),40) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm119_rn119d240,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(119)) = k7_xcmplx_0(119,240) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm120_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(120)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm236_rn59d60,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(236)) = k7_xcmplx_0(59,60) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm240_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(240)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm24_rn1d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(24)) = k7_xcmplx_0(1,10) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm30_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(30)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm3_rn1d80,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(3)) = k7_xcmplx_0(1,80) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d240_rm4_rn1d60,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240),k4_xcmplx_0(4)) = k7_xcmplx_0(1,60) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d243_r1_rnm1d243,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),243),1) = k7_xcmplx_0(k4_xcmplx_0(1),243) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d243_r3_rnm1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),243),3) = k7_xcmplx_0(k4_xcmplx_0(1),81) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d243_r9_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),243),9) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r16_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),16) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r1_rnm1d24,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),1) = k7_xcmplx_0(k4_xcmplx_0(1),24) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r2_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),2) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r32_rnm4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),32) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r3_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),3) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r4_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),4) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r8_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),8) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_r9_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),9) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_rm16_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k4_xcmplx_0(16)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_rm24_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k4_xcmplx_0(24)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_rm2_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k4_xcmplx_0(2)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_rm3_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k4_xcmplx_0(3)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d24_rm4_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24),k4_xcmplx_0(4)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d256_r16_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256),16) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d256_r1_rnm1d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256),1) = k7_xcmplx_0(k4_xcmplx_0(1),256) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d256_r256_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256),256) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d256_r2_rnm1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256),2) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d256_r3_rnm3d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256),3) = k7_xcmplx_0(k4_xcmplx_0(3),256) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d256_r4_rnm1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256),4) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d256_r64_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256),64) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d25_r10_rnm2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),10) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d25_r1_rnm1d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),1) = k7_xcmplx_0(k4_xcmplx_0(1),25) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d25_r2_rnm2d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),2) = k7_xcmplx_0(k4_xcmplx_0(2),25) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d25_r4_rnm4d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),4) = k7_xcmplx_0(k4_xcmplx_0(4),25) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d25_r641_rnm641d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),641) = k7_xcmplx_0(k4_xcmplx_0(641),25) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d25_rm25_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),k4_xcmplx_0(25)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d25_rm4_rn4d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25),k4_xcmplx_0(4)) = k7_xcmplx_0(4,25) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d27_r1_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),1) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d27_r27_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),27) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d27_r2_rnm2d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),2) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d27_r3_rnm1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),3) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d27_r9_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27),9) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_cr1r0_crnm1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_cr2r0_crm1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_cr3r0_crnm3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_cr4r0_crm2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_crm1r0_crn1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_crm2r0_cr1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_crm3r0_crn3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_crm4r0_cr2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_crn1d2r0_crnm1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_crnm1d2r0_crn1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r10_rm5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),10) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r12_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),12) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r16_rm8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),16) = k4_xcmplx_0(8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r22_rm11,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),22) = k4_xcmplx_0(11) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),3) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),4) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r5_rnm5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),5) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r6_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),6) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r8_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),8) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r9_rnm9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),9) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm10_r5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(10)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm12_r6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(12)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm16_r8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(16)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(2)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(3)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(4)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm5_rn5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(5)) = k7_xcmplx_0(5,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm6_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(6)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm8_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(8)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn159d100_rnm159d200,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(159),200) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d16_rnm1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d24_rnm1d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),48) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d3_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d4_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d6_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d7_rnm1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,7)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d9_rnm1d18,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d27_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d5_rnm1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn3d4_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm159d100_rn159d200,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(159,200) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d24_rn1d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,48) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d3_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d4_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d6_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d7_rn1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(1,14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm2d3_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm2d5_rn1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d2_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d4_rn3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm3d8_rn3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm4d3_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d30_r1_rnm1d30,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),1) = k7_xcmplx_0(k4_xcmplx_0(1),30) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d30_r2_rnm1d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30),2) = k7_xcmplx_0(k4_xcmplx_0(1),15) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r10_rnm5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),10) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r16_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),16) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r1_rnm1d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),1) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r2_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),2) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r3_rnm3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),3) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r4_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),4) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r6_rnm3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),6) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r7_rnm7d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),7) = k7_xcmplx_0(k4_xcmplx_0(7),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_r8_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),8) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_rm32_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k4_xcmplx_0(32)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_rm3_rn3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k4_xcmplx_0(3)) = k7_xcmplx_0(3,32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_rm8_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k4_xcmplx_0(8)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d32_rn1d2_rnm1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_r12_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),36),12) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_r2_rnm1d18,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),36),2) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_rm12_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),36),k4_xcmplx_0(12)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_rm14_rn7d18,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),36),k4_xcmplx_0(14)) = k7_xcmplx_0(7,18) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_rm2_rn1d18,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),36),k4_xcmplx_0(2)) = k7_xcmplx_0(1,18) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_rm36_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),36),k4_xcmplx_0(36)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_cr1r0_crnm1d3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_crm3r0_cr1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_crn3d2r0_crnm1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_crnm1d2r0_crn1d6r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_crnm3d2r0_crn1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),2) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),3) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r5_rnm5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),5) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r9_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),9) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(2)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(3)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm5_rn5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(5)) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm6_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(6)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm9_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(9)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn1d2_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn1d3_rnm1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn1d4_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn1d9_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn2d3_rnm2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm1d2_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm1d3_rn1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm2d3_rn2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d4_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm9d2_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d42_r1_rnm1d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),1) = k7_xcmplx_0(k4_xcmplx_0(1),42) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d42_r2_rnm1d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),2) = k7_xcmplx_0(k4_xcmplx_0(1),21) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d42_r3_rnm1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),3) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d42_r4_rnm2d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),4) = k7_xcmplx_0(k4_xcmplx_0(2),21) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d42_r6_rnm1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42),6) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_r16_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),16) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_r192_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),192) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_r1_rnm1d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),1) = k7_xcmplx_0(k4_xcmplx_0(1),48) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_r256_rnm16d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),256) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_r4_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),4) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_rm256_rn16d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),k4_xcmplx_0(256)) = k7_xcmplx_0(16,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_rm48_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),k4_xcmplx_0(48)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d48_rm8_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48),k4_xcmplx_0(8)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_cr1r0_crnm1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_cr2r0_crnm1d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_cr3r0_crnm3d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_cr4r0_crm1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_crm1r0_crn1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_crm4r0_cr1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r10_rnm5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),10) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r16_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),16) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),1) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r27_rnm27d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),27) = k7_xcmplx_0(k4_xcmplx_0(27),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),3) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),4) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r5_rnm5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),5) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r6_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),6) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_r8_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),8) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm119_rn119d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(119)) = k7_xcmplx_0(119,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm120_r30,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(120)) = 30 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm12_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(12)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm16_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(16)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm236_r59,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(236)) = 59 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm242_rn121d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(242)) = k7_xcmplx_0(121,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm24_r6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(24)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(2)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm30_rn15d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(30)) = k7_xcmplx_0(15,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(3)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(4)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm5_rn5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(5)) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm6_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(6)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm7_rn7d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(7)) = k7_xcmplx_0(7,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm8_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(8)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm9_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(9)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rn1d16_rnm1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rn1d27_rnm1d108,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(1),108) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rn1d2_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rn1d3_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rn1d4_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rn2d3_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rnm1d2_rn1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rnm1d4_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rnm2d3_rn1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rnm3d8_rn3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(3,32) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d4_rnm4d3_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d512_r1_rnm1d512,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),512),1) = k7_xcmplx_0(k4_xcmplx_0(1),512) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d512_r3_rnm3d512,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),512),3) = k7_xcmplx_0(k4_xcmplx_0(3),512) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d512_r8_rnm1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),512),8) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d54_r1_rnm1d54,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),54),1) = k7_xcmplx_0(k4_xcmplx_0(1),54) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d54_r27_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),54),27) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d54_r2_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),54),2) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d54_r9_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),54),9) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r10_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),10) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r1_rnm1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),1) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r25_rm5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),25) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r2_rnm2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),2) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r3_rnm3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),3) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r4_rnm4d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),4) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r5_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),5) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r640_rm128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),640) = k4_xcmplx_0(128) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r641_rnm641d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),641) = k7_xcmplx_0(k4_xcmplx_0(641),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_r6_rnm6d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),6) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rm10_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k4_xcmplx_0(10)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rm2_rn2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k4_xcmplx_0(2)) = k7_xcmplx_0(2,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rm3_rn3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k4_xcmplx_0(3)) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rm4_rn4d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k4_xcmplx_0(4)) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rm5_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k4_xcmplx_0(5)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rn5d4_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rnm1d2_rn1d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,10) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d5_rnm1d4_rn1d20,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,20) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_cr1r0_crnm1d64r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_crm1r0_crn1d64r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,64),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r1_rnm1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),1) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r21_rnm21d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),21) = k7_xcmplx_0(k4_xcmplx_0(21),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r35_rnm35d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),35) = k7_xcmplx_0(k4_xcmplx_0(35),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r3_rnm3d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),3) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r4_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),4) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r7_rnm7d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),7) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r8_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),8) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_rm4_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k4_xcmplx_0(4)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_rm64_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k4_xcmplx_0(64)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_rn1d2_rnm1d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_rnm1d4_rn1d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,256) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_cr1r0_crnm1d6r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_cr2r0_crnm1d3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r12_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),12) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r18_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),18) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r1_rnm1d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),1) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r21_rnm7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),21) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r2_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),2) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r36_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),36) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r3_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),3) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r42_rm7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),42) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r5_rnm5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),5) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r6_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),6) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm216_r36,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(216)) = 36 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm243_rn81d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(243)) = k7_xcmplx_0(81,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm25_rn25d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(25)) = k7_xcmplx_0(25,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm2_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(2)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm3_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(3)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm414_r69,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(414)) = 69 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm419_rn419d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(419)) = k7_xcmplx_0(419,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm54_r9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(54)) = 9 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm57_rn19d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(57)) = k7_xcmplx_0(19,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm6_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k4_xcmplx_0(6)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rn1d2_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rnm2d9_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k7_xcmplx_0(k4_xcmplx_0(2),9)) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_r1_rnm1d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),1) = k7_xcmplx_0(k4_xcmplx_0(1),729) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_r27_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),27) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_r2_rnm2d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),2) = k7_xcmplx_0(k4_xcmplx_0(2),729) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_r3_rnm1d243,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),3) = k7_xcmplx_0(k4_xcmplx_0(1),243) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_r9_rnm1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),9) = k7_xcmplx_0(k4_xcmplx_0(1),81) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_rm27_rn1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),k4_xcmplx_0(27)) = k7_xcmplx_0(1,27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_rm3_rn1d243,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),k4_xcmplx_0(3)) = k7_xcmplx_0(1,243) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d729_rm9_rn1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729),k4_xcmplx_0(9)) = k7_xcmplx_0(1,81) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r1_rnm1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),1) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r3_rnm3d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),3) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rn1d2_rnm1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rn7d2_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rnm1d2_rn1d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,14) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rnm7d2_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7),k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_cr1r0_crnm1d8r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_cr2r0_crnm1d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r16_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),16) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r1_rnm1d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),1) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r2_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),2) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r3_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),3) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r4_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),4) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r5_rnm5d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),5) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r6_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),6) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r8_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),8) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_r9_rnm9d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),9) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rm16_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(16)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rm2_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(2)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rm3_rn3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(3)) = k7_xcmplx_0(3,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rm4_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(4)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rm5_rn5d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(5)) = k7_xcmplx_0(5,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rm7_rn7d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(7)) = k7_xcmplx_0(7,8) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rm8_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k4_xcmplx_0(8)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rn1d2_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rn1d32_rnm1d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,32)) = k7_xcmplx_0(k4_xcmplx_0(1),256) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rn1d8_rnm1d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rn1d9_rnm1d72,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),72) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rn3d16_rnm3d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(3),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d8_rnm1d2_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_r1_rnm1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),1) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_r27_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),27) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_r3_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),3) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_r9_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),9) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rm27_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(27)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rm3_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(3)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rm9_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k4_xcmplx_0(9)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rn1d3_rnm1d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rn1d81_rnm1d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(1,81)) = k7_xcmplx_0(k4_xcmplx_0(1),729) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rn1d9_rnm1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),81) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rnm1d9_rn1d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(1,81) )).
fof(rqRealMult__k3_xcmplx_0__rnm1d9_rnm2d81_rn2d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9),k7_xcmplx_0(k4_xcmplx_0(2),81)) = k7_xcmplx_0(2,729) )).
fof(rqRealMult__k3_xcmplx_0__rnm21d128_r1_rnm21d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),128),1) = k7_xcmplx_0(k4_xcmplx_0(21),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm21d2_r1_rnm21d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2),1) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm21d64_rn1d2_rnm21d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),64),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(21),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm23d2_r1_rnm23d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),2),1) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm23d2_r2_rm23,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),2),2) = k4_xcmplx_0(23) )).
fof(rqRealMult__k3_xcmplx_0__rnm23d4_cr4r0_crm23r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(23),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm23d4_r1_rnm23d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),4),1) = k7_xcmplx_0(k4_xcmplx_0(23),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm23d4_r4_rm23,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),4),4) = k4_xcmplx_0(23) )).
fof(rqRealMult__k3_xcmplx_0__rnm23d6_r1_rnm23d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),6),1) = k7_xcmplx_0(k4_xcmplx_0(23),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm23d6_r2_rnm23d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),6),2) = k7_xcmplx_0(k4_xcmplx_0(23),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm255d4_cr4r0_crm255r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(255),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm255d4_crm4r0_cr255r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(255,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm255d4_r1_rnm255d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),4),1) = k7_xcmplx_0(k4_xcmplx_0(255),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm255d4_r4_rm255,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),4),4) = k4_xcmplx_0(255) )).
fof(rqRealMult__k3_xcmplx_0__rnm255d4_rm4_r255,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),4),k4_xcmplx_0(4)) = 255 )).
fof(rqRealMult__k3_xcmplx_0__rnm257d4_cr4r0_crm257r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(257),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(257),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm257d4_crm4r0_cr257r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(257),4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(257,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm257d4_r1_rnm257d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(257),4),1) = k7_xcmplx_0(k4_xcmplx_0(257),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm257d4_r4_rm257,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(257),4),4) = k4_xcmplx_0(257) )).
fof(rqRealMult__k3_xcmplx_0__rnm257d4_rm4_r257,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(257),4),k4_xcmplx_0(4)) = 257 )).
fof(rqRealMult__k3_xcmplx_0__rnm25d2_r1_rnm25d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),2),1) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm25d4_cr4r0_crm25r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(25),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm25d4_r1_rnm25d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),4),1) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm25d4_r4_rm25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),4),4) = k4_xcmplx_0(25) )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_crm3r0_cr26r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(26,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_crn3d2r0_crm13r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_crnm3d2r0_cr13r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(13,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_r1_rnm26d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),1) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_r3_rm26,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),3) = k4_xcmplx_0(26) )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_rm3_r26,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k4_xcmplx_0(3)) = 26 )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_rn3d2_rm13,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k7_xcmplx_0(3,2)) = k4_xcmplx_0(13) )).
fof(rqRealMult__k3_xcmplx_0__rnm26d3_rnm3d2_r13,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 13 )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_crm3r0_cr28r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(28,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_crn3d2r0_crm14r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(14),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_crnm3d2r0_cr14r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(14,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_r1_rnm28d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),1) = k7_xcmplx_0(k4_xcmplx_0(28),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_r3_rm28,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),3) = k4_xcmplx_0(28) )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_rm3_r28,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k4_xcmplx_0(3)) = 28 )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_rn3d2_rm14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k7_xcmplx_0(3,2)) = k4_xcmplx_0(14) )).
fof(rqRealMult__k3_xcmplx_0__rnm28d3_rnm3d2_r14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 14 )).
fof(rqRealMult__k3_xcmplx_0__rnm29d3_crn3d2r0_crnm29d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm29d3_r1_rnm29d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),3),1) = k7_xcmplx_0(k4_xcmplx_0(29),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm29d3_r3_rm29,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),3),3) = k4_xcmplx_0(29) )).
fof(rqRealMult__k3_xcmplx_0__rnm29d3_rn3d2_rnm29d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),3),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(29),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d15_r2_rnm4d15,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),15),2) = k7_xcmplx_0(k4_xcmplx_0(4),15) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d21_r1_rnm2d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),21),1) = k7_xcmplx_0(k4_xcmplx_0(2),21) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d21_r2_rnm4d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),21),2) = k7_xcmplx_0(k4_xcmplx_0(4),21) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d27_cr1r0_crnm2d27r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d27_r1_rnm2d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27),1) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_crm3r0_cr2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_crn3d2r0_crm1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_crnm3d2r0_cr1r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),1) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),3) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(2)) = k7_xcmplx_0(4,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(3)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm4_rn8d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(4)) = k7_xcmplx_0(8,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d27_rnm2d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(2),81) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d8_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(3,2)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d4_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d3_rn2d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,9) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d6_rn1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d8_rn1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,12) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm2d3_rn4d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(4,9) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d4_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d8_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_r10_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),10) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_r1_rnm2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),1) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rm2_rn4d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k4_xcmplx_0(2)) = k7_xcmplx_0(4,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rm3_rn6d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k4_xcmplx_0(3)) = k7_xcmplx_0(6,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rm5_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k4_xcmplx_0(5)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rn1d10_rnm1d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(1),25) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rn1d2_rnm1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rn1d5_rnm2d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(2),25) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rn25d2_rm5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(25,2)) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rn2d5_rnm4d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(4),25) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rnm1d2_rn1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rnm2d5_rn4d25,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(4,25) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d5_rnm5d2_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5),k7_xcmplx_0(k4_xcmplx_0(5),2)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm2d729_r1_rnm2d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),729),1) = k7_xcmplx_0(k4_xcmplx_0(2),729) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d729_r9_rnm2d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),729),9) = k7_xcmplx_0(k4_xcmplx_0(2),81) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d7_rn1d2_rnm1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),7),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d7_rn7d2_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),7),k7_xcmplx_0(7,2)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d7_rnm1d2_rn1d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),7),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,7) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d7_rnm7d2_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),7),k7_xcmplx_0(k4_xcmplx_0(7),2)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm2d81_r1_rnm2d81,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),81),1) = k7_xcmplx_0(k4_xcmplx_0(2),81) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d81_r3_rnm2d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),81),3) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d81_rn1d9_rnm2d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),81),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(2),729) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d81_rnm1d9_rn2d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),81),k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(2,729) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d9_rn1d2_rnm1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),9),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm2d9_rnm1d2_rn1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),9),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,9) )).
fof(rqRealMult__k3_xcmplx_0__rnm31d12_r1_rnm31d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),12),1) = k7_xcmplx_0(k4_xcmplx_0(31),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm31d12_r2_rnm31d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),12),2) = k7_xcmplx_0(k4_xcmplx_0(31),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm31d4_r1_rnm31d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),4),1) = k7_xcmplx_0(k4_xcmplx_0(31),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm31d4_rm4_r31,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),4),k4_xcmplx_0(4)) = 31 )).
fof(rqRealMult__k3_xcmplx_0__rnm31d4_rnm3d8_rn93d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(93,32) )).
fof(rqRealMult__k3_xcmplx_0__rnm35d2_r1_rnm35d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),1) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm35d2_rn1d18_rnm35d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(35),36) )).
fof(rqRealMult__k3_xcmplx_0__rnm35d2_rn1d3_rnm35d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(35),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm35d2_rn7d18_rnm245d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(245),36) )).
fof(rqRealMult__k3_xcmplx_0__rnm35d2_rnm1d18_rn35d36,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(35,36) )).
fof(rqRealMult__k3_xcmplx_0__rnm35d2_rnm1d3_rn35d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(35,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm35d64_r1_rnm35d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),64),1) = k7_xcmplx_0(k4_xcmplx_0(35),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d128_r8_rnm3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128),8) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d14_r2_rnm3d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),14),2) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d14_r3_rnm9d14,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),14),3) = k7_xcmplx_0(k4_xcmplx_0(9),14) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d16_cr1r0_crnm3d16r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d16_r1_rnm3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),1) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d16_rn1d2_rnm3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d256_r1_rnm3d256,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256),1) = k7_xcmplx_0(k4_xcmplx_0(3),256) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_cr1r0_crnm3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_cr2r0_crm3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_crm1r0_crn3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_crm2r0_cr3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),1) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),2) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r3_rnm9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),3) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r4_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),4) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm12_r18,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(12)) = 18 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(2)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm4_r6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(4)) = 6 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm5_rn15d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(5)) = k7_xcmplx_0(15,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm6_r9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(6)) = 9 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d24_rnm1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d5_rnm3d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d6_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d27_rnm1d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(2,3)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm159d100_rn477d200,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(477,200) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d24_rn1d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d6_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d5_rn3d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(3,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm3d2_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d32_r1_rnm3d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),1) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d32_r4_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32),4) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_cr1r0_crnm3d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_cr2r0_crnm3d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_cr4r0_crm3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_crm1r0_crn3d4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_crm4r0_cr3r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),1) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),2) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),4) = k4_xcmplx_0(3) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_r8_rm6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),8) = k4_xcmplx_0(6) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(2)) = k7_xcmplx_0(3,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rm3_rn9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(3)) = k7_xcmplx_0(9,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(4)) = 3 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d16_rnm3d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d2_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d9_rnm1d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn2d3_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(4,3)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm1d3_rn1d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm1d4_rn3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm2d3_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm3d8_rn9d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(9,32) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm3d512_r4_rnm3d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),512),4) = k7_xcmplx_0(k4_xcmplx_0(3),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d512_r8_rnm3d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),512),8) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d8_r1_rnm3d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),1) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm3d8_rn1d2_rnm3d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_r1_rnm49d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),1) = k7_xcmplx_0(k4_xcmplx_0(49),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_rn1d24_rnm49d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(49),48) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_rn1d6_rnm49d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(49),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_rn2d3_rnm49d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(49),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_rnm1d24_rn49d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(49,48) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_rnm1d6_rn49d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(49,12) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_rnm2d3_rn49d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(49,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm49d2_rnm4d3_rn98d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(98,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_crm3r0_cr4r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_crn3d2r0_crm2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_crnm3d2r0_cr2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),1) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),3) = k4_xcmplx_0(4) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rm3_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k4_xcmplx_0(3)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn3d2_rm2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(3,2)) = k4_xcmplx_0(2) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(2,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 2 )).
fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm4d5_r1_rnm4d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),1) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d5_r2_rnm8d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),2) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d5_rm2_rn8d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),k4_xcmplx_0(2)) = k7_xcmplx_0(8,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm4d5_rm5_r4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5),k4_xcmplx_0(5)) = 4 )).
fof(rqRealMult__k3_xcmplx_0__rnm53d2_r1_rnm53d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),2),1) = k7_xcmplx_0(k4_xcmplx_0(53),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm53d2_r2_rm53,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),2),2) = k4_xcmplx_0(53) )).
fof(rqRealMult__k3_xcmplx_0__rnm53d2_rn2d27_rnm53d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(53),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm53d2_rnm1d3_rn53d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(53,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm53d6_r1_rnm53d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6),1) = k7_xcmplx_0(k4_xcmplx_0(53),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm53d6_rm3_rn53d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6),k4_xcmplx_0(3)) = k7_xcmplx_0(53,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm53d6_rm6_r53,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6),k4_xcmplx_0(6)) = 53 )).
fof(rqRealMult__k3_xcmplx_0__rnm53d6_rnm2d9_rn53d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6),k7_xcmplx_0(k4_xcmplx_0(2),9)) = k7_xcmplx_0(53,27) )).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_crm2r0_cr55r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(55,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_r1_rnm55d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),1) = k7_xcmplx_0(k4_xcmplx_0(55),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_r2_rm55,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),2) = k4_xcmplx_0(55) )).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_rm2_r55,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),k4_xcmplx_0(2)) = 55 )).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_rn2d27_rnm55d27,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(55),27) )).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_rnm1d3_rn55d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(55,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d12_r1_rnm5d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),12),1) = k7_xcmplx_0(k4_xcmplx_0(5),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d12_r2_rnm5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),12),2) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d12_r4_rnm5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),12),4) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d12_r5_rnm25d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),12),5) = k7_xcmplx_0(k4_xcmplx_0(25),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d12_rm2_rn5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),12),k4_xcmplx_0(2)) = k7_xcmplx_0(5,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d16_r1_rnm5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),1) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d16_rn1d2_rnm5d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d24_r1_rnm5d24,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),24),1) = k7_xcmplx_0(k4_xcmplx_0(5),24) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_crm1r0_crn5d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(5,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_r1_rnm5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),1) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_r2_rm5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),2) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rm4_r10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k4_xcmplx_0(4)) = 10 )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rm5_rn25d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k4_xcmplx_0(5)) = k7_xcmplx_0(25,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rn1d24_rnm5d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(5),48) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rn1d2_rnm5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rn1d5_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rn1d6_rnm5d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(5),12) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rn2d3_rnm5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rn2d5_rm1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(2,5)) = k4_xcmplx_0(1) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rn4d25_rnm2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(4,25)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d24_rn5d48,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(5,48) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d25_rn1d10,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(1,10) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d2_rn5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(5,4) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm1d6_rn5d12,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(5,12) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm2d25_rn1d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(2),25)) = k7_xcmplx_0(1,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm2d3_rn5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm2d5_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(2),5)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm4d25_rn2d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(4),25)) = k7_xcmplx_0(2,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d2_rnm4d3_rn10d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d32_r1_rnm5d32,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),32),1) = k7_xcmplx_0(k4_xcmplx_0(5),32) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d3_r1_rnm5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3),1) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d42_r1_rnm5d42,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),42),1) = k7_xcmplx_0(k4_xcmplx_0(5),42) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d42_r2_rnm5d21,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),42),2) = k7_xcmplx_0(k4_xcmplx_0(5),21) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d4_cr4r0_crm5r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(5),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d4_crm4r0_cr5r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(5,k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d4_r1_rnm5d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),1) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d4_r2_rnm5d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),2) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d4_r4_rm5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),4) = k4_xcmplx_0(5) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d4_rm4_r5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k4_xcmplx_0(4)) = 5 )).
fof(rqRealMult__k3_xcmplx_0__rnm5d4_rnm4d3_rn5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d6_r1_rnm5d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),6),1) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d6_r2_rnm5d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),6),2) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm5d8_rn1d2_rnm5d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm63d64_r1_rnm63d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),64),1) = k7_xcmplx_0(k4_xcmplx_0(63),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm63d64_r8_rnm63d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),64),8) = k7_xcmplx_0(k4_xcmplx_0(63),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm63d64_rm4_rn63d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),64),k4_xcmplx_0(4)) = k7_xcmplx_0(63,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm63d64_rm64_r63,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),64),k4_xcmplx_0(64)) = 63 )).
fof(rqRealMult__k3_xcmplx_0__rnm63d8_r1_rnm63d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),8),1) = k7_xcmplx_0(k4_xcmplx_0(63),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm63d8_rm8_r63,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),8),k4_xcmplx_0(8)) = 63 )).
fof(rqRealMult__k3_xcmplx_0__rnm63d8_rn1d8_rnm63d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(63),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm63d8_rnm1d2_rn63d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(63,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm6d7_r1_rnm6d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),7),1) = k7_xcmplx_0(k4_xcmplx_0(6),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm6d7_rn1d2_rnm3d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),7),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealMult__k3_xcmplx_0__rnm6d7_rnm1d2_rn3d7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),7),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,7) )).
fof(rqRealMult__k3_xcmplx_0__rnm71d6_r1_rnm71d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(71),6),1) = k7_xcmplx_0(k4_xcmplx_0(71),6) )).
fof(rqRealMult__k3_xcmplx_0__rnm71d6_r2_rnm71d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(71),6),2) = k7_xcmplx_0(k4_xcmplx_0(71),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d128_r1_rnm7d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),128),1) = k7_xcmplx_0(k4_xcmplx_0(7),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d27_rnm7d27_rn49d729,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27),k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(49,729) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_crm1r0_crn7d2r0,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(7,2),k1_xcmplx_0) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_r1_rnm7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),1) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_r2_rm7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),2) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_rm2_r7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k4_xcmplx_0(2)) = 7 )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_rm3_rn21d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k4_xcmplx_0(3)) = k7_xcmplx_0(21,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_rn1d7_rnm1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(1,7)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_rnm1d7_rn1d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(1,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d2_rnm4d3_rn14d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(14,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d32_rn1d2_rnm7d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),32),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d4_r1_rnm7d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),1) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d4_r4_rm7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),4) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d4_rnm4d3_rn7d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(7,3) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d5_r1_rnm7d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),5),1) = k7_xcmplx_0(k4_xcmplx_0(7),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d64_r1_rnm7d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),64),1) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d64_rn1d2_rnm7d128,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),64),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),128) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d8_r1_rnm7d8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),1) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d8_r8_rm7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),8) = k4_xcmplx_0(7) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d8_rm4_rn7d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k4_xcmplx_0(4)) = k7_xcmplx_0(7,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d8_rm8_r7,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k4_xcmplx_0(8)) = 7 )).
fof(rqRealMult__k3_xcmplx_0__rnm7d8_rn1d2_rnm7d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d8_rn1d8_rnm7d64,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d8_rnm1d2_rn7d16,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(7,16) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d9_r1_rnm7d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),9),1) = k7_xcmplx_0(k4_xcmplx_0(7),9) )).
fof(rqRealMult__k3_xcmplx_0__rnm7d9_rnm3d2_rn7d6,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),9),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(7,6) )).
fof(rqRealMult__k3_xcmplx_0__rnm8d3_r1_rnm8d3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),1) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealMult__k3_xcmplx_0__rnm8d3_rm3_r8,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k4_xcmplx_0(3)) = 8 )).
fof(rqRealMult__k3_xcmplx_0__rnm8d3_rnm1d3_rn8d9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(8,9) )).
fof(rqRealMult__k3_xcmplx_0__rnm8d5_r1_rnm8d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),1) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm8d5_r6_rnm48d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),6) = k7_xcmplx_0(k4_xcmplx_0(48),5) )).
fof(rqRealMult__k3_xcmplx_0__rnm8d5_rm2_rn16d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),k4_xcmplx_0(2)) = k7_xcmplx_0(16,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm8d5_rm4_rn32d5,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5),k4_xcmplx_0(4)) = k7_xcmplx_0(32,5) )).
fof(rqRealMult__k3_xcmplx_0__rnm9d2_r1_rnm9d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),1) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm9d2_rm12_r54,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k4_xcmplx_0(12)) = 54 )).
fof(rqRealMult__k3_xcmplx_0__rnm9d2_rm5_rn45d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k4_xcmplx_0(5)) = k7_xcmplx_0(45,2) )).
fof(rqRealMult__k3_xcmplx_0__rnm9d2_rn1d3_rnm3d2,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealMult__k3_xcmplx_0__rnm9d2_rnm2d9_r1,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2),k7_xcmplx_0(k4_xcmplx_0(2),9)) = 1 )).
fof(rqRealMult__k3_xcmplx_0__rnm9d4_r1_rnm9d4,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),1) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealMult__k3_xcmplx_0__rnm9d4_r4_rm9,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),4) = k4_xcmplx_0(9) )).
fof(rqRealMult__k3_xcmplx_0__rnm9d4_rnm4d3_r3,axiom,( k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 3 )).
fof(rqRealNeg__k4_xcmplx_0__cr108r0_crm108r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(108,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(108),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr11r0_crm11r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(11,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(11),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr12r0_crm12r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(12,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr13r0_crm13r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(13,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr14r0_crm14r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(14,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(14),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr15r0_crm15r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(15,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(15),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr1r0_crm1r0,axiom,( k4_xcmplx_0(k1_xcmplx_0) = k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr1r1_crm1rm1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealNeg__k4_xcmplx_0__cr1rm1_crm1r1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1) )).
fof(rqRealNeg__k4_xcmplx_0__cr1rn1d2_crm1rnm1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealNeg__k4_xcmplx_0__cr1rnm1d2_crm1rn1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealNeg__k4_xcmplx_0__cr244r0_crm244r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(244,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(244),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr24r0_crm24r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(24,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(24),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr252r0_crm252r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(252,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(252),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr255r0_crm255r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(255,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(255),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr256r0_crm256r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(256,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr257r0_crm257r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(257,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(257),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr260r0_crm260r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(260,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(260),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr26r0_crm26r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(26,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(26),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr27r0_crm27r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(27,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(27),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr28r0_crm28r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(28,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(28),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr2r0_crm2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr2r1_crm2rm1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealNeg__k4_xcmplx_0__cr2r2_crm2rm2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),2)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealNeg__k4_xcmplx_0__cr2rm1_crm2r1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1) )).
fof(rqRealNeg__k4_xcmplx_0__cr2rm2_crm2r2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2) )).
fof(rqRealNeg__k4_xcmplx_0__cr3r0_crm3r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr3r3_crm3rm3,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),3)) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k4_xcmplx_0(3)) )).
fof(rqRealNeg__k4_xcmplx_0__cr3rn3d2_crm3rnm3d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(3,2))) = k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealNeg__k4_xcmplx_0__cr4r0_crm4r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(4,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr54r0_crm54r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(54,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(54),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr55r0_crm55r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(55,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(55),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr56r0_crm56r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(56,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(56),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr5r0_crm5r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(5,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(5),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr6r0_crm6r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(6,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(6),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr7r0_crm7r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(7,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(7),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__cr8r0_crm8r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(8,k1_xcmplx_0)) = k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm11r0_cr11r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(11),k1_xcmplx_0)) = k3_xcmplx_0(11,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm12r0_cr12r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(12),k1_xcmplx_0)) = k3_xcmplx_0(12,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm13r0_cr13r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(13),k1_xcmplx_0)) = k3_xcmplx_0(13,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm14r0_cr14r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(14),k1_xcmplx_0)) = k3_xcmplx_0(14,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm15r0_cr15r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(15),k1_xcmplx_0)) = k3_xcmplx_0(15,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm1r0_cr1r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0)) = k1_xcmplx_0 )).
fof(rqRealNeg__k4_xcmplx_0__crm1r1_cr1rm1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),1)) = k2_xcmplx_0(k1_xcmplx_0,k4_xcmplx_0(1)) )).
fof(rqRealNeg__k4_xcmplx_0__crm1rm1_cr1r1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k4_xcmplx_0(1))) = k2_xcmplx_0(k1_xcmplx_0,1) )).
fof(rqRealNeg__k4_xcmplx_0__crm1rn1d2_cr1rnm1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealNeg__k4_xcmplx_0__crm1rnm1d2_cr1rn1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k1_xcmplx_0,k7_xcmplx_0(1,2)) )).
fof(rqRealNeg__k4_xcmplx_0__crm20r0_cr20r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(20),k1_xcmplx_0)) = k3_xcmplx_0(20,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm232r0_cr232r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(232),k1_xcmplx_0)) = k3_xcmplx_0(232,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm23r0_cr23r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(23),k1_xcmplx_0)) = k3_xcmplx_0(23,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm244r0_cr244r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(244),k1_xcmplx_0)) = k3_xcmplx_0(244,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm24r0_cr24r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(24),k1_xcmplx_0)) = k3_xcmplx_0(24,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm252r0_cr252r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(252),k1_xcmplx_0)) = k3_xcmplx_0(252,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm254r0_cr254r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(254),k1_xcmplx_0)) = k3_xcmplx_0(254,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm255r0_cr255r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(255),k1_xcmplx_0)) = k3_xcmplx_0(255,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm256r0_cr256r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(256),k1_xcmplx_0)) = k3_xcmplx_0(256,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm257r0_cr257r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(257),k1_xcmplx_0)) = k3_xcmplx_0(257,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm258r0_cr258r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(258),k1_xcmplx_0)) = k3_xcmplx_0(258,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm25r0_cr25r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(25),k1_xcmplx_0)) = k3_xcmplx_0(25,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm260r0_cr260r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(260),k1_xcmplx_0)) = k3_xcmplx_0(260,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm27r0_cr27r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(27),k1_xcmplx_0)) = k3_xcmplx_0(27,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm2r0_cr2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0)) = k3_xcmplx_0(2,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm2r1_cr2rm1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealNeg__k4_xcmplx_0__crm2r2_cr2rm2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),2)) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),k4_xcmplx_0(2)) )).
fof(rqRealNeg__k4_xcmplx_0__crm2rm1_cr2r1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),1) )).
fof(rqRealNeg__k4_xcmplx_0__crm2rm2_cr2r2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2),k1_xcmplx_0),k4_xcmplx_0(2))) = k2_xcmplx_0(k3_xcmplx_0(2,k1_xcmplx_0),2) )).
fof(rqRealNeg__k4_xcmplx_0__crm3r0_cr3r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0)) = k3_xcmplx_0(3,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm3rm3_cr3r3,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k4_xcmplx_0(3))) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),3) )).
fof(rqRealNeg__k4_xcmplx_0__crm3rnm3d2_cr3rn3d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(3),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(3,k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealNeg__k4_xcmplx_0__crm4r0_cr4r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(4),k1_xcmplx_0)) = k3_xcmplx_0(4,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm52r0_cr52r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(52),k1_xcmplx_0)) = k3_xcmplx_0(52,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm53r0_cr53r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(53),k1_xcmplx_0)) = k3_xcmplx_0(53,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm54r0_cr54r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(54),k1_xcmplx_0)) = k3_xcmplx_0(54,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm5r0_cr5r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(5),k1_xcmplx_0)) = k3_xcmplx_0(5,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm7r0_cr7r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(7),k1_xcmplx_0)) = k3_xcmplx_0(7,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crm8r0_cr8r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(8),k1_xcmplx_0)) = k3_xcmplx_0(8,k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d16r0_crnm1d16r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d2r0_crnm1d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d2r1_crnm1d2rm1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d2rm1_crnm1d2r1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d2rn1d2_crnm1d2rnm1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d2rnm1d2_crnm1d2rn1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d2rnm3d2_crnm1d2rn3d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealNeg__k4_xcmplx_0__crn1d4r0_crnm1d4r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn27d2r0_crnm27d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn3d2r0_crnm3d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn3d2rn3d2_crnm3d2rnm3d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(3,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealNeg__k4_xcmplx_0__crn3d4r0_crnm3d4r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn5d2r0_crnm5d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(5,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crn7d2r0_crnm7d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(7,2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d16r0_crn1d16r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,16),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d2r0_crn1d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d2r1_crn1d2rm1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),1)) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k4_xcmplx_0(1)) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d2rm1_crn1d2r1,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k4_xcmplx_0(1))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),1) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d2rn1d2_crn1d2rnm1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(1,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2)) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d2rnm1d2_crn1d2rn1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d2rnm3d2_crn1d2rn3d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d4r0_crn1d4r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,4),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm1d6r0_crn1d6r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(1,6),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm27d2r0_crn27d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(27,2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm29d2r0_crn29d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(29,2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm3d2r0_crn3d2r0,axiom,( k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0)) = k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0) )).
fof(rqRealNeg__k4_xcmplx_0__crnm3d2rn3d2_crn3d2rnm3d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(3,2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2)) )).
fof(rqRealNeg__k4_xcmplx_0__crnm3d2rnm1d2_crn3d2rn1d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(1),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(1,2)) )).
fof(rqRealNeg__k4_xcmplx_0__crnm3d2rnm3d2_crn3d2rn3d2,axiom,( k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k1_xcmplx_0),k7_xcmplx_0(k4_xcmplx_0(3),2))) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k1_xcmplx_0),k7_xcmplx_0(3,2)) )).
fof(rqRealNeg__k4_xcmplx_0__r0_r0,axiom,( k4_xcmplx_0(0) = 0 )).
fof(rqRealNeg__k4_xcmplx_0__r100_rm100,axiom,( k4_xcmplx_0(100) = k4_xcmplx_0(100) )).
fof(rqRealNeg__k4_xcmplx_0__r106_rm106,axiom,( k4_xcmplx_0(106) = k4_xcmplx_0(106) )).
fof(rqRealNeg__k4_xcmplx_0__r108_rm108,axiom,( k4_xcmplx_0(108) = k4_xcmplx_0(108) )).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10,axiom,( k4_xcmplx_0(10) = k4_xcmplx_0(10) )).
fof(rqRealNeg__k4_xcmplx_0__r110_rm110,axiom,( k4_xcmplx_0(110) = k4_xcmplx_0(110) )).
fof(rqRealNeg__k4_xcmplx_0__r111_rm111,axiom,( k4_xcmplx_0(111) = k4_xcmplx_0(111) )).
fof(rqRealNeg__k4_xcmplx_0__r112_rm112,axiom,( k4_xcmplx_0(112) = k4_xcmplx_0(112) )).
fof(rqRealNeg__k4_xcmplx_0__r114_rm114,axiom,( k4_xcmplx_0(114) = k4_xcmplx_0(114) )).
fof(rqRealNeg__k4_xcmplx_0__r116_rm116,axiom,( k4_xcmplx_0(116) = k4_xcmplx_0(116) )).
fof(rqRealNeg__k4_xcmplx_0__r119_rm119,axiom,( k4_xcmplx_0(119) = k4_xcmplx_0(119) )).
fof(rqRealNeg__k4_xcmplx_0__r11_rm11,axiom,( k4_xcmplx_0(11) = k4_xcmplx_0(11) )).
fof(rqRealNeg__k4_xcmplx_0__r120_rm120,axiom,( k4_xcmplx_0(120) = k4_xcmplx_0(120) )).
fof(rqRealNeg__k4_xcmplx_0__r121_rm121,axiom,( k4_xcmplx_0(121) = k4_xcmplx_0(121) )).
fof(rqRealNeg__k4_xcmplx_0__r123_rm123,axiom,( k4_xcmplx_0(123) = k4_xcmplx_0(123) )).
fof(rqRealNeg__k4_xcmplx_0__r126_rm126,axiom,( k4_xcmplx_0(126) = k4_xcmplx_0(126) )).
fof(rqRealNeg__k4_xcmplx_0__r128_rm128,axiom,( k4_xcmplx_0(128) = k4_xcmplx_0(128) )).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12,axiom,( k4_xcmplx_0(12) = k4_xcmplx_0(12) )).
fof(rqRealNeg__k4_xcmplx_0__r136_rm136,axiom,( k4_xcmplx_0(136) = k4_xcmplx_0(136) )).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13,axiom,( k4_xcmplx_0(13) = k4_xcmplx_0(13) )).
fof(rqRealNeg__k4_xcmplx_0__r140_rm140,axiom,( k4_xcmplx_0(140) = k4_xcmplx_0(140) )).
fof(rqRealNeg__k4_xcmplx_0__r143_rm143,axiom,( k4_xcmplx_0(143) = k4_xcmplx_0(143) )).
fof(rqRealNeg__k4_xcmplx_0__r144_rm144,axiom,( k4_xcmplx_0(144) = k4_xcmplx_0(144) )).
fof(rqRealNeg__k4_xcmplx_0__r14_rm14,axiom,( k4_xcmplx_0(14) = k4_xcmplx_0(14) )).
fof(rqRealNeg__k4_xcmplx_0__r151_rm151,axiom,( k4_xcmplx_0(151) = k4_xcmplx_0(151) )).
fof(rqRealNeg__k4_xcmplx_0__r159_rm159,axiom,( k4_xcmplx_0(159) = k4_xcmplx_0(159) )).
fof(rqRealNeg__k4_xcmplx_0__r15_rm15,axiom,( k4_xcmplx_0(15) = k4_xcmplx_0(15) )).
fof(rqRealNeg__k4_xcmplx_0__r162_rm162,axiom,( k4_xcmplx_0(162) = k4_xcmplx_0(162) )).
fof(rqRealNeg__k4_xcmplx_0__r164_rm164,axiom,( k4_xcmplx_0(164) = k4_xcmplx_0(164) )).
fof(rqRealNeg__k4_xcmplx_0__r169_rm169,axiom,( k4_xcmplx_0(169) = k4_xcmplx_0(169) )).
fof(rqRealNeg__k4_xcmplx_0__r16_rm16,axiom,( k4_xcmplx_0(16) = k4_xcmplx_0(16) )).
fof(rqRealNeg__k4_xcmplx_0__r172_rm172,axiom,( k4_xcmplx_0(172) = k4_xcmplx_0(172) )).
fof(rqRealNeg__k4_xcmplx_0__r178_rm178,axiom,( k4_xcmplx_0(178) = k4_xcmplx_0(178) )).
fof(rqRealNeg__k4_xcmplx_0__r17_rm17,axiom,( k4_xcmplx_0(17) = k4_xcmplx_0(17) )).
fof(rqRealNeg__k4_xcmplx_0__r183_rm183,axiom,( k4_xcmplx_0(183) = k4_xcmplx_0(183) )).
fof(rqRealNeg__k4_xcmplx_0__r18_rm18,axiom,( k4_xcmplx_0(18) = k4_xcmplx_0(18) )).
fof(rqRealNeg__k4_xcmplx_0__r192_rm192,axiom,( k4_xcmplx_0(192) = k4_xcmplx_0(192) )).
fof(rqRealNeg__k4_xcmplx_0__r197_rm197,axiom,( k4_xcmplx_0(197) = k4_xcmplx_0(197) )).
fof(rqRealNeg__k4_xcmplx_0__r19_rm19,axiom,( k4_xcmplx_0(19) = k4_xcmplx_0(19) )).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1,axiom,( k4_xcmplx_0(1) = k4_xcmplx_0(1) )).
fof(rqRealNeg__k4_xcmplx_0__r203_rm203,axiom,( k4_xcmplx_0(203) = k4_xcmplx_0(203) )).
fof(rqRealNeg__k4_xcmplx_0__r20_rm20,axiom,( k4_xcmplx_0(20) = k4_xcmplx_0(20) )).
fof(rqRealNeg__k4_xcmplx_0__r211_rm211,axiom,( k4_xcmplx_0(211) = k4_xcmplx_0(211) )).
fof(rqRealNeg__k4_xcmplx_0__r216_rm216,axiom,( k4_xcmplx_0(216) = k4_xcmplx_0(216) )).
fof(rqRealNeg__k4_xcmplx_0__r21_rm21,axiom,( k4_xcmplx_0(21) = k4_xcmplx_0(21) )).
fof(rqRealNeg__k4_xcmplx_0__r225_rm225,axiom,( k4_xcmplx_0(225) = k4_xcmplx_0(225) )).
fof(rqRealNeg__k4_xcmplx_0__r22_rm22,axiom,( k4_xcmplx_0(22) = k4_xcmplx_0(22) )).
fof(rqRealNeg__k4_xcmplx_0__r236_rm236,axiom,( k4_xcmplx_0(236) = k4_xcmplx_0(236) )).
fof(rqRealNeg__k4_xcmplx_0__r23_rm23,axiom,( k4_xcmplx_0(23) = k4_xcmplx_0(23) )).
fof(rqRealNeg__k4_xcmplx_0__r241_rm241,axiom,( k4_xcmplx_0(241) = k4_xcmplx_0(241) )).
fof(rqRealNeg__k4_xcmplx_0__r242_rm242,axiom,( k4_xcmplx_0(242) = k4_xcmplx_0(242) )).
fof(rqRealNeg__k4_xcmplx_0__r244_rm244,axiom,( k4_xcmplx_0(244) = k4_xcmplx_0(244) )).
fof(rqRealNeg__k4_xcmplx_0__r246_rm246,axiom,( k4_xcmplx_0(246) = k4_xcmplx_0(246) )).
fof(rqRealNeg__k4_xcmplx_0__r249_rm249,axiom,( k4_xcmplx_0(249) = k4_xcmplx_0(249) )).
fof(rqRealNeg__k4_xcmplx_0__r24_rm24,axiom,( k4_xcmplx_0(24) = k4_xcmplx_0(24) )).
fof(rqRealNeg__k4_xcmplx_0__r252_rm252,axiom,( k4_xcmplx_0(252) = k4_xcmplx_0(252) )).
fof(rqRealNeg__k4_xcmplx_0__r255_rm255,axiom,( k4_xcmplx_0(255) = k4_xcmplx_0(255) )).
fof(rqRealNeg__k4_xcmplx_0__r256_rm256,axiom,( k4_xcmplx_0(256) = k4_xcmplx_0(256) )).
fof(rqRealNeg__k4_xcmplx_0__r257_rm257,axiom,( k4_xcmplx_0(257) = k4_xcmplx_0(257) )).
fof(rqRealNeg__k4_xcmplx_0__r25_rm25,axiom,( k4_xcmplx_0(25) = k4_xcmplx_0(25) )).
fof(rqRealNeg__k4_xcmplx_0__r260_rm260,axiom,( k4_xcmplx_0(260) = k4_xcmplx_0(260) )).
fof(rqRealNeg__k4_xcmplx_0__r263_rm263,axiom,( k4_xcmplx_0(263) = k4_xcmplx_0(263) )).
fof(rqRealNeg__k4_xcmplx_0__r26_rm26,axiom,( k4_xcmplx_0(26) = k4_xcmplx_0(26) )).
fof(rqRealNeg__k4_xcmplx_0__r274_rm274,axiom,( k4_xcmplx_0(274) = k4_xcmplx_0(274) )).
fof(rqRealNeg__k4_xcmplx_0__r275_rm275,axiom,( k4_xcmplx_0(275) = k4_xcmplx_0(275) )).
fof(rqRealNeg__k4_xcmplx_0__r27_rm27,axiom,( k4_xcmplx_0(27) = k4_xcmplx_0(27) )).
fof(rqRealNeg__k4_xcmplx_0__r282_rm282,axiom,( k4_xcmplx_0(282) = k4_xcmplx_0(282) )).
fof(rqRealNeg__k4_xcmplx_0__r288_rm288,axiom,( k4_xcmplx_0(288) = k4_xcmplx_0(288) )).
fof(rqRealNeg__k4_xcmplx_0__r289_rm289,axiom,( k4_xcmplx_0(289) = k4_xcmplx_0(289) )).
fof(rqRealNeg__k4_xcmplx_0__r28_rm28,axiom,( k4_xcmplx_0(28) = k4_xcmplx_0(28) )).
fof(rqRealNeg__k4_xcmplx_0__r298_rm298,axiom,( k4_xcmplx_0(298) = k4_xcmplx_0(298) )).
fof(rqRealNeg__k4_xcmplx_0__r29_rm29,axiom,( k4_xcmplx_0(29) = k4_xcmplx_0(29) )).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2,axiom,( k4_xcmplx_0(2) = k4_xcmplx_0(2) )).
fof(rqRealNeg__k4_xcmplx_0__r30_rm30,axiom,( k4_xcmplx_0(30) = k4_xcmplx_0(30) )).
fof(rqRealNeg__k4_xcmplx_0__r315_rm315,axiom,( k4_xcmplx_0(315) = k4_xcmplx_0(315) )).
fof(rqRealNeg__k4_xcmplx_0__r31_rm31,axiom,( k4_xcmplx_0(31) = k4_xcmplx_0(31) )).
fof(rqRealNeg__k4_xcmplx_0__r320_rm320,axiom,( k4_xcmplx_0(320) = k4_xcmplx_0(320) )).
fof(rqRealNeg__k4_xcmplx_0__r325_rm325,axiom,( k4_xcmplx_0(325) = k4_xcmplx_0(325) )).
fof(rqRealNeg__k4_xcmplx_0__r32_rm32,axiom,( k4_xcmplx_0(32) = k4_xcmplx_0(32) )).
fof(rqRealNeg__k4_xcmplx_0__r332_rm332,axiom,( k4_xcmplx_0(332) = k4_xcmplx_0(332) )).
fof(rqRealNeg__k4_xcmplx_0__r33_rm33,axiom,( k4_xcmplx_0(33) = k4_xcmplx_0(33) )).
fof(rqRealNeg__k4_xcmplx_0__r342_rm342,axiom,( k4_xcmplx_0(342) = k4_xcmplx_0(342) )).
fof(rqRealNeg__k4_xcmplx_0__r343_rm343,axiom,( k4_xcmplx_0(343) = k4_xcmplx_0(343) )).
fof(rqRealNeg__k4_xcmplx_0__r344_rm344,axiom,( k4_xcmplx_0(344) = k4_xcmplx_0(344) )).
fof(rqRealNeg__k4_xcmplx_0__r345_rm345,axiom,( k4_xcmplx_0(345) = k4_xcmplx_0(345) )).
fof(rqRealNeg__k4_xcmplx_0__r346_rm346,axiom,( k4_xcmplx_0(346) = k4_xcmplx_0(346) )).
fof(rqRealNeg__k4_xcmplx_0__r347_rm347,axiom,( k4_xcmplx_0(347) = k4_xcmplx_0(347) )).
fof(rqRealNeg__k4_xcmplx_0__r348_rm348,axiom,( k4_xcmplx_0(348) = k4_xcmplx_0(348) )).
fof(rqRealNeg__k4_xcmplx_0__r349_rm349,axiom,( k4_xcmplx_0(349) = k4_xcmplx_0(349) )).
fof(rqRealNeg__k4_xcmplx_0__r34_rm34,axiom,( k4_xcmplx_0(34) = k4_xcmplx_0(34) )).
fof(rqRealNeg__k4_xcmplx_0__r350_rm350,axiom,( k4_xcmplx_0(350) = k4_xcmplx_0(350) )).
fof(rqRealNeg__k4_xcmplx_0__r351_rm351,axiom,( k4_xcmplx_0(351) = k4_xcmplx_0(351) )).
fof(rqRealNeg__k4_xcmplx_0__r352_rm352,axiom,( k4_xcmplx_0(352) = k4_xcmplx_0(352) )).
fof(rqRealNeg__k4_xcmplx_0__r353_rm353,axiom,( k4_xcmplx_0(353) = k4_xcmplx_0(353) )).
fof(rqRealNeg__k4_xcmplx_0__r354_rm354,axiom,( k4_xcmplx_0(354) = k4_xcmplx_0(354) )).
fof(rqRealNeg__k4_xcmplx_0__r355_rm355,axiom,( k4_xcmplx_0(355) = k4_xcmplx_0(355) )).
fof(rqRealNeg__k4_xcmplx_0__r356_rm356,axiom,( k4_xcmplx_0(356) = k4_xcmplx_0(356) )).
fof(rqRealNeg__k4_xcmplx_0__r357_rm357,axiom,( k4_xcmplx_0(357) = k4_xcmplx_0(357) )).
fof(rqRealNeg__k4_xcmplx_0__r358_rm358,axiom,( k4_xcmplx_0(358) = k4_xcmplx_0(358) )).
fof(rqRealNeg__k4_xcmplx_0__r359_rm359,axiom,( k4_xcmplx_0(359) = k4_xcmplx_0(359) )).
fof(rqRealNeg__k4_xcmplx_0__r35_rm35,axiom,( k4_xcmplx_0(35) = k4_xcmplx_0(35) )).
fof(rqRealNeg__k4_xcmplx_0__r360_rm360,axiom,( k4_xcmplx_0(360) = k4_xcmplx_0(360) )).
fof(rqRealNeg__k4_xcmplx_0__r361_rm361,axiom,( k4_xcmplx_0(361) = k4_xcmplx_0(361) )).
fof(rqRealNeg__k4_xcmplx_0__r362_rm362,axiom,( k4_xcmplx_0(362) = k4_xcmplx_0(362) )).
fof(rqRealNeg__k4_xcmplx_0__r363_rm363,axiom,( k4_xcmplx_0(363) = k4_xcmplx_0(363) )).
fof(rqRealNeg__k4_xcmplx_0__r364_rm364,axiom,( k4_xcmplx_0(364) = k4_xcmplx_0(364) )).
fof(rqRealNeg__k4_xcmplx_0__r365_rm365,axiom,( k4_xcmplx_0(365) = k4_xcmplx_0(365) )).
fof(rqRealNeg__k4_xcmplx_0__r366_rm366,axiom,( k4_xcmplx_0(366) = k4_xcmplx_0(366) )).
fof(rqRealNeg__k4_xcmplx_0__r36_rm36,axiom,( k4_xcmplx_0(36) = k4_xcmplx_0(36) )).
fof(rqRealNeg__k4_xcmplx_0__r37_rm37,axiom,( k4_xcmplx_0(37) = k4_xcmplx_0(37) )).
fof(rqRealNeg__k4_xcmplx_0__r384_rm384,axiom,( k4_xcmplx_0(384) = k4_xcmplx_0(384) )).
fof(rqRealNeg__k4_xcmplx_0__r38_rm38,axiom,( k4_xcmplx_0(38) = k4_xcmplx_0(38) )).
fof(rqRealNeg__k4_xcmplx_0__r39_rm39,axiom,( k4_xcmplx_0(39) = k4_xcmplx_0(39) )).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3,axiom,( k4_xcmplx_0(3) = k4_xcmplx_0(3) )).
fof(rqRealNeg__k4_xcmplx_0__r400_rm400,axiom,( k4_xcmplx_0(400) = k4_xcmplx_0(400) )).
fof(rqRealNeg__k4_xcmplx_0__r40_rm40,axiom,( k4_xcmplx_0(40) = k4_xcmplx_0(40) )).
fof(rqRealNeg__k4_xcmplx_0__r414_rm414,axiom,( k4_xcmplx_0(414) = k4_xcmplx_0(414) )).
fof(rqRealNeg__k4_xcmplx_0__r419_rm419,axiom,( k4_xcmplx_0(419) = k4_xcmplx_0(419) )).
fof(rqRealNeg__k4_xcmplx_0__r41_rm41,axiom,( k4_xcmplx_0(41) = k4_xcmplx_0(41) )).
fof(rqRealNeg__k4_xcmplx_0__r42_rm42,axiom,( k4_xcmplx_0(42) = k4_xcmplx_0(42) )).
fof(rqRealNeg__k4_xcmplx_0__r430_rm430,axiom,( k4_xcmplx_0(430) = k4_xcmplx_0(430) )).
fof(rqRealNeg__k4_xcmplx_0__r43_rm43,axiom,( k4_xcmplx_0(43) = k4_xcmplx_0(43) )).
fof(rqRealNeg__k4_xcmplx_0__r446_rm446,axiom,( k4_xcmplx_0(446) = k4_xcmplx_0(446) )).
fof(rqRealNeg__k4_xcmplx_0__r44_rm44,axiom,( k4_xcmplx_0(44) = k4_xcmplx_0(44) )).
fof(rqRealNeg__k4_xcmplx_0__r45_rm45,axiom,( k4_xcmplx_0(45) = k4_xcmplx_0(45) )).
fof(rqRealNeg__k4_xcmplx_0__r46_rm46,axiom,( k4_xcmplx_0(46) = k4_xcmplx_0(46) )).
fof(rqRealNeg__k4_xcmplx_0__r47_rm47,axiom,( k4_xcmplx_0(47) = k4_xcmplx_0(47) )).
fof(rqRealNeg__k4_xcmplx_0__r48_rm48,axiom,( k4_xcmplx_0(48) = k4_xcmplx_0(48) )).
fof(rqRealNeg__k4_xcmplx_0__r49_rm49,axiom,( k4_xcmplx_0(49) = k4_xcmplx_0(49) )).
fof(rqRealNeg__k4_xcmplx_0__r4_rm4,axiom,( k4_xcmplx_0(4) = k4_xcmplx_0(4) )).
fof(rqRealNeg__k4_xcmplx_0__r503_rm503,axiom,( k4_xcmplx_0(503) = k4_xcmplx_0(503) )).
fof(rqRealNeg__k4_xcmplx_0__r50_rm50,axiom,( k4_xcmplx_0(50) = k4_xcmplx_0(50) )).
fof(rqRealNeg__k4_xcmplx_0__r510_rm510,axiom,( k4_xcmplx_0(510) = k4_xcmplx_0(510) )).
fof(rqRealNeg__k4_xcmplx_0__r512_rm512,axiom,( k4_xcmplx_0(512) = k4_xcmplx_0(512) )).
fof(rqRealNeg__k4_xcmplx_0__r51_rm51,axiom,( k4_xcmplx_0(51) = k4_xcmplx_0(51) )).
fof(rqRealNeg__k4_xcmplx_0__r52_rm52,axiom,( k4_xcmplx_0(52) = k4_xcmplx_0(52) )).
fof(rqRealNeg__k4_xcmplx_0__r53_rm53,axiom,( k4_xcmplx_0(53) = k4_xcmplx_0(53) )).
fof(rqRealNeg__k4_xcmplx_0__r54_rm54,axiom,( k4_xcmplx_0(54) = k4_xcmplx_0(54) )).
fof(rqRealNeg__k4_xcmplx_0__r55_rm55,axiom,( k4_xcmplx_0(55) = k4_xcmplx_0(55) )).
fof(rqRealNeg__k4_xcmplx_0__r56_rm56,axiom,( k4_xcmplx_0(56) = k4_xcmplx_0(56) )).
fof(rqRealNeg__k4_xcmplx_0__r576_rm576,axiom,( k4_xcmplx_0(576) = k4_xcmplx_0(576) )).
fof(rqRealNeg__k4_xcmplx_0__r57_rm57,axiom,( k4_xcmplx_0(57) = k4_xcmplx_0(57) )).
fof(rqRealNeg__k4_xcmplx_0__r58_rm58,axiom,( k4_xcmplx_0(58) = k4_xcmplx_0(58) )).
fof(rqRealNeg__k4_xcmplx_0__r59_rm59,axiom,( k4_xcmplx_0(59) = k4_xcmplx_0(59) )).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5,axiom,( k4_xcmplx_0(5) = k4_xcmplx_0(5) )).
fof(rqRealNeg__k4_xcmplx_0__r60_rm60,axiom,( k4_xcmplx_0(60) = k4_xcmplx_0(60) )).
fof(rqRealNeg__k4_xcmplx_0__r61_rm61,axiom,( k4_xcmplx_0(61) = k4_xcmplx_0(61) )).
fof(rqRealNeg__k4_xcmplx_0__r62_rm62,axiom,( k4_xcmplx_0(62) = k4_xcmplx_0(62) )).
fof(rqRealNeg__k4_xcmplx_0__r63_rm63,axiom,( k4_xcmplx_0(63) = k4_xcmplx_0(63) )).
fof(rqRealNeg__k4_xcmplx_0__r640_rm640,axiom,( k4_xcmplx_0(640) = k4_xcmplx_0(640) )).
fof(rqRealNeg__k4_xcmplx_0__r641_rm641,axiom,( k4_xcmplx_0(641) = k4_xcmplx_0(641) )).
fof(rqRealNeg__k4_xcmplx_0__r64_rm64,axiom,( k4_xcmplx_0(64) = k4_xcmplx_0(64) )).
fof(rqRealNeg__k4_xcmplx_0__r656_rm656,axiom,( k4_xcmplx_0(656) = k4_xcmplx_0(656) )).
fof(rqRealNeg__k4_xcmplx_0__r673_rm673,axiom,( k4_xcmplx_0(673) = k4_xcmplx_0(673) )).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6,axiom,( k4_xcmplx_0(6) = k4_xcmplx_0(6) )).
fof(rqRealNeg__k4_xcmplx_0__r70_rm70,axiom,( k4_xcmplx_0(70) = k4_xcmplx_0(70) )).
fof(rqRealNeg__k4_xcmplx_0__r71_rm71,axiom,( k4_xcmplx_0(71) = k4_xcmplx_0(71) )).
fof(rqRealNeg__k4_xcmplx_0__r720_rm720,axiom,( k4_xcmplx_0(720) = k4_xcmplx_0(720) )).
fof(rqRealNeg__k4_xcmplx_0__r72_rm72,axiom,( k4_xcmplx_0(72) = k4_xcmplx_0(72) )).
fof(rqRealNeg__k4_xcmplx_0__r732_rm732,axiom,( k4_xcmplx_0(732) = k4_xcmplx_0(732) )).
fof(rqRealNeg__k4_xcmplx_0__r73_rm73,axiom,( k4_xcmplx_0(73) = k4_xcmplx_0(73) )).
fof(rqRealNeg__k4_xcmplx_0__r75_rm75,axiom,( k4_xcmplx_0(75) = k4_xcmplx_0(75) )).
fof(rqRealNeg__k4_xcmplx_0__r768_rm768,axiom,( k4_xcmplx_0(768) = k4_xcmplx_0(768) )).
fof(rqRealNeg__k4_xcmplx_0__r78_rm78,axiom,( k4_xcmplx_0(78) = k4_xcmplx_0(78) )).
fof(rqRealNeg__k4_xcmplx_0__r7_rm7,axiom,( k4_xcmplx_0(7) = k4_xcmplx_0(7) )).
fof(rqRealNeg__k4_xcmplx_0__r800_rm800,axiom,( k4_xcmplx_0(800) = k4_xcmplx_0(800) )).
fof(rqRealNeg__k4_xcmplx_0__r809_rm809,axiom,( k4_xcmplx_0(809) = k4_xcmplx_0(809) )).
fof(rqRealNeg__k4_xcmplx_0__r80_rm80,axiom,( k4_xcmplx_0(80) = k4_xcmplx_0(80) )).
fof(rqRealNeg__k4_xcmplx_0__r81_rm81,axiom,( k4_xcmplx_0(81) = k4_xcmplx_0(81) )).
fof(rqRealNeg__k4_xcmplx_0__r82_rm82,axiom,( k4_xcmplx_0(82) = k4_xcmplx_0(82) )).
fof(rqRealNeg__k4_xcmplx_0__r83_rm83,axiom,( k4_xcmplx_0(83) = k4_xcmplx_0(83) )).
fof(rqRealNeg__k4_xcmplx_0__r84_rm84,axiom,( k4_xcmplx_0(84) = k4_xcmplx_0(84) )).
fof(rqRealNeg__k4_xcmplx_0__r85_rm85,axiom,( k4_xcmplx_0(85) = k4_xcmplx_0(85) )).
fof(rqRealNeg__k4_xcmplx_0__r89_rm89,axiom,( k4_xcmplx_0(89) = k4_xcmplx_0(89) )).
fof(rqRealNeg__k4_xcmplx_0__r8_rm8,axiom,( k4_xcmplx_0(8) = k4_xcmplx_0(8) )).
fof(rqRealNeg__k4_xcmplx_0__r90_rm90,axiom,( k4_xcmplx_0(90) = k4_xcmplx_0(90) )).
fof(rqRealNeg__k4_xcmplx_0__r91_rm91,axiom,( k4_xcmplx_0(91) = k4_xcmplx_0(91) )).
fof(rqRealNeg__k4_xcmplx_0__r96_rm96,axiom,( k4_xcmplx_0(96) = k4_xcmplx_0(96) )).
fof(rqRealNeg__k4_xcmplx_0__r97_rm97,axiom,( k4_xcmplx_0(97) = k4_xcmplx_0(97) )).
fof(rqRealNeg__k4_xcmplx_0__r9_rm9,axiom,( k4_xcmplx_0(9) = k4_xcmplx_0(9) )).
fof(rqRealNeg__k4_xcmplx_0__rm100_r100,axiom,( k4_xcmplx_0(k4_xcmplx_0(100)) = 100 )).
fof(rqRealNeg__k4_xcmplx_0__rm108_r108,axiom,( k4_xcmplx_0(k4_xcmplx_0(108)) = 108 )).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10,axiom,( k4_xcmplx_0(k4_xcmplx_0(10)) = 10 )).
fof(rqRealNeg__k4_xcmplx_0__rm110_r110,axiom,( k4_xcmplx_0(k4_xcmplx_0(110)) = 110 )).
fof(rqRealNeg__k4_xcmplx_0__rm114_r114,axiom,( k4_xcmplx_0(k4_xcmplx_0(114)) = 114 )).
fof(rqRealNeg__k4_xcmplx_0__rm119_r119,axiom,( k4_xcmplx_0(k4_xcmplx_0(119)) = 119 )).
fof(rqRealNeg__k4_xcmplx_0__rm11_r11,axiom,( k4_xcmplx_0(k4_xcmplx_0(11)) = 11 )).
fof(rqRealNeg__k4_xcmplx_0__rm120_r120,axiom,( k4_xcmplx_0(k4_xcmplx_0(120)) = 120 )).
fof(rqRealNeg__k4_xcmplx_0__rm121_r121,axiom,( k4_xcmplx_0(k4_xcmplx_0(121)) = 121 )).
fof(rqRealNeg__k4_xcmplx_0__rm128_r128,axiom,( k4_xcmplx_0(k4_xcmplx_0(128)) = 128 )).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12,axiom,( k4_xcmplx_0(k4_xcmplx_0(12)) = 12 )).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13,axiom,( k4_xcmplx_0(k4_xcmplx_0(13)) = 13 )).
fof(rqRealNeg__k4_xcmplx_0__rm140_r140,axiom,( k4_xcmplx_0(k4_xcmplx_0(140)) = 140 )).
fof(rqRealNeg__k4_xcmplx_0__rm14_r14,axiom,( k4_xcmplx_0(k4_xcmplx_0(14)) = 14 )).
fof(rqRealNeg__k4_xcmplx_0__rm151_r151,axiom,( k4_xcmplx_0(k4_xcmplx_0(151)) = 151 )).
fof(rqRealNeg__k4_xcmplx_0__rm15_r15,axiom,( k4_xcmplx_0(k4_xcmplx_0(15)) = 15 )).
fof(rqRealNeg__k4_xcmplx_0__rm166_r166,axiom,( k4_xcmplx_0(k4_xcmplx_0(166)) = 166 )).
fof(rqRealNeg__k4_xcmplx_0__rm169_r169,axiom,( k4_xcmplx_0(k4_xcmplx_0(169)) = 169 )).
fof(rqRealNeg__k4_xcmplx_0__rm16_r16,axiom,( k4_xcmplx_0(k4_xcmplx_0(16)) = 16 )).
fof(rqRealNeg__k4_xcmplx_0__rm17_r17,axiom,( k4_xcmplx_0(k4_xcmplx_0(17)) = 17 )).
fof(rqRealNeg__k4_xcmplx_0__rm183_r183,axiom,( k4_xcmplx_0(k4_xcmplx_0(183)) = 183 )).
fof(rqRealNeg__k4_xcmplx_0__rm18_r18,axiom,( k4_xcmplx_0(k4_xcmplx_0(18)) = 18 )).
fof(rqRealNeg__k4_xcmplx_0__rm192_r192,axiom,( k4_xcmplx_0(k4_xcmplx_0(192)) = 192 )).
fof(rqRealNeg__k4_xcmplx_0__rm19_r19,axiom,( k4_xcmplx_0(k4_xcmplx_0(19)) = 19 )).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1,axiom,( k4_xcmplx_0(k4_xcmplx_0(1)) = 1 )).
fof(rqRealNeg__k4_xcmplx_0__rm20_r20,axiom,( k4_xcmplx_0(k4_xcmplx_0(20)) = 20 )).
fof(rqRealNeg__k4_xcmplx_0__rm212_r212,axiom,( k4_xcmplx_0(k4_xcmplx_0(212)) = 212 )).
fof(rqRealNeg__k4_xcmplx_0__rm216_r216,axiom,( k4_xcmplx_0(k4_xcmplx_0(216)) = 216 )).
fof(rqRealNeg__k4_xcmplx_0__rm21_r21,axiom,( k4_xcmplx_0(k4_xcmplx_0(21)) = 21 )).
fof(rqRealNeg__k4_xcmplx_0__rm22_r22,axiom,( k4_xcmplx_0(k4_xcmplx_0(22)) = 22 )).
fof(rqRealNeg__k4_xcmplx_0__rm232_r232,axiom,( k4_xcmplx_0(k4_xcmplx_0(232)) = 232 )).
fof(rqRealNeg__k4_xcmplx_0__rm236_r236,axiom,( k4_xcmplx_0(k4_xcmplx_0(236)) = 236 )).
fof(rqRealNeg__k4_xcmplx_0__rm23_r23,axiom,( k4_xcmplx_0(k4_xcmplx_0(23)) = 23 )).
fof(rqRealNeg__k4_xcmplx_0__rm244_r244,axiom,( k4_xcmplx_0(k4_xcmplx_0(244)) = 244 )).
fof(rqRealNeg__k4_xcmplx_0__rm24_r24,axiom,( k4_xcmplx_0(k4_xcmplx_0(24)) = 24 )).
fof(rqRealNeg__k4_xcmplx_0__rm252_r252,axiom,( k4_xcmplx_0(k4_xcmplx_0(252)) = 252 )).
fof(rqRealNeg__k4_xcmplx_0__rm254_r254,axiom,( k4_xcmplx_0(k4_xcmplx_0(254)) = 254 )).
fof(rqRealNeg__k4_xcmplx_0__rm255_r255,axiom,( k4_xcmplx_0(k4_xcmplx_0(255)) = 255 )).
fof(rqRealNeg__k4_xcmplx_0__rm256_r256,axiom,( k4_xcmplx_0(k4_xcmplx_0(256)) = 256 )).
fof(rqRealNeg__k4_xcmplx_0__rm257_r257,axiom,( k4_xcmplx_0(k4_xcmplx_0(257)) = 257 )).
fof(rqRealNeg__k4_xcmplx_0__rm258_r258,axiom,( k4_xcmplx_0(k4_xcmplx_0(258)) = 258 )).
fof(rqRealNeg__k4_xcmplx_0__rm25_r25,axiom,( k4_xcmplx_0(k4_xcmplx_0(25)) = 25 )).
fof(rqRealNeg__k4_xcmplx_0__rm260_r260,axiom,( k4_xcmplx_0(k4_xcmplx_0(260)) = 260 )).
fof(rqRealNeg__k4_xcmplx_0__rm26_r26,axiom,( k4_xcmplx_0(k4_xcmplx_0(26)) = 26 )).
fof(rqRealNeg__k4_xcmplx_0__rm27_r27,axiom,( k4_xcmplx_0(k4_xcmplx_0(27)) = 27 )).
fof(rqRealNeg__k4_xcmplx_0__rm28_r28,axiom,( k4_xcmplx_0(k4_xcmplx_0(28)) = 28 )).
fof(rqRealNeg__k4_xcmplx_0__rm29_r29,axiom,( k4_xcmplx_0(k4_xcmplx_0(29)) = 29 )).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2,axiom,( k4_xcmplx_0(k4_xcmplx_0(2)) = 2 )).
fof(rqRealNeg__k4_xcmplx_0__rm30_r30,axiom,( k4_xcmplx_0(k4_xcmplx_0(30)) = 30 )).
fof(rqRealNeg__k4_xcmplx_0__rm31_r31,axiom,( k4_xcmplx_0(k4_xcmplx_0(31)) = 31 )).
fof(rqRealNeg__k4_xcmplx_0__rm32_r32,axiom,( k4_xcmplx_0(k4_xcmplx_0(32)) = 32 )).
fof(rqRealNeg__k4_xcmplx_0__rm33_r33,axiom,( k4_xcmplx_0(k4_xcmplx_0(33)) = 33 )).
fof(rqRealNeg__k4_xcmplx_0__rm343_r343,axiom,( k4_xcmplx_0(k4_xcmplx_0(343)) = 343 )).
fof(rqRealNeg__k4_xcmplx_0__rm344_r344,axiom,( k4_xcmplx_0(k4_xcmplx_0(344)) = 344 )).
fof(rqRealNeg__k4_xcmplx_0__rm345_r345,axiom,( k4_xcmplx_0(k4_xcmplx_0(345)) = 345 )).
fof(rqRealNeg__k4_xcmplx_0__rm346_r346,axiom,( k4_xcmplx_0(k4_xcmplx_0(346)) = 346 )).
fof(rqRealNeg__k4_xcmplx_0__rm347_r347,axiom,( k4_xcmplx_0(k4_xcmplx_0(347)) = 347 )).
fof(rqRealNeg__k4_xcmplx_0__rm348_r348,axiom,( k4_xcmplx_0(k4_xcmplx_0(348)) = 348 )).
fof(rqRealNeg__k4_xcmplx_0__rm349_r349,axiom,( k4_xcmplx_0(k4_xcmplx_0(349)) = 349 )).
fof(rqRealNeg__k4_xcmplx_0__rm34_r34,axiom,( k4_xcmplx_0(k4_xcmplx_0(34)) = 34 )).
fof(rqRealNeg__k4_xcmplx_0__rm350_r350,axiom,( k4_xcmplx_0(k4_xcmplx_0(350)) = 350 )).
fof(rqRealNeg__k4_xcmplx_0__rm351_r351,axiom,( k4_xcmplx_0(k4_xcmplx_0(351)) = 351 )).
fof(rqRealNeg__k4_xcmplx_0__rm352_r352,axiom,( k4_xcmplx_0(k4_xcmplx_0(352)) = 352 )).
fof(rqRealNeg__k4_xcmplx_0__rm353_r353,axiom,( k4_xcmplx_0(k4_xcmplx_0(353)) = 353 )).
fof(rqRealNeg__k4_xcmplx_0__rm354_r354,axiom,( k4_xcmplx_0(k4_xcmplx_0(354)) = 354 )).
fof(rqRealNeg__k4_xcmplx_0__rm355_r355,axiom,( k4_xcmplx_0(k4_xcmplx_0(355)) = 355 )).
fof(rqRealNeg__k4_xcmplx_0__rm356_r356,axiom,( k4_xcmplx_0(k4_xcmplx_0(356)) = 356 )).
fof(rqRealNeg__k4_xcmplx_0__rm357_r357,axiom,( k4_xcmplx_0(k4_xcmplx_0(357)) = 357 )).
fof(rqRealNeg__k4_xcmplx_0__rm358_r358,axiom,( k4_xcmplx_0(k4_xcmplx_0(358)) = 358 )).
fof(rqRealNeg__k4_xcmplx_0__rm359_r359,axiom,( k4_xcmplx_0(k4_xcmplx_0(359)) = 359 )).
fof(rqRealNeg__k4_xcmplx_0__rm35_r35,axiom,( k4_xcmplx_0(k4_xcmplx_0(35)) = 35 )).
fof(rqRealNeg__k4_xcmplx_0__rm360_r360,axiom,( k4_xcmplx_0(k4_xcmplx_0(360)) = 360 )).
fof(rqRealNeg__k4_xcmplx_0__rm361_r361,axiom,( k4_xcmplx_0(k4_xcmplx_0(361)) = 361 )).
fof(rqRealNeg__k4_xcmplx_0__rm362_r362,axiom,( k4_xcmplx_0(k4_xcmplx_0(362)) = 362 )).
fof(rqRealNeg__k4_xcmplx_0__rm363_r363,axiom,( k4_xcmplx_0(k4_xcmplx_0(363)) = 363 )).
fof(rqRealNeg__k4_xcmplx_0__rm364_r364,axiom,( k4_xcmplx_0(k4_xcmplx_0(364)) = 364 )).
fof(rqRealNeg__k4_xcmplx_0__rm365_r365,axiom,( k4_xcmplx_0(k4_xcmplx_0(365)) = 365 )).
fof(rqRealNeg__k4_xcmplx_0__rm366_r366,axiom,( k4_xcmplx_0(k4_xcmplx_0(366)) = 366 )).
fof(rqRealNeg__k4_xcmplx_0__rm36_r36,axiom,( k4_xcmplx_0(k4_xcmplx_0(36)) = 36 )).
fof(rqRealNeg__k4_xcmplx_0__rm37_r37,axiom,( k4_xcmplx_0(k4_xcmplx_0(37)) = 37 )).
fof(rqRealNeg__k4_xcmplx_0__rm384_r384,axiom,( k4_xcmplx_0(k4_xcmplx_0(384)) = 384 )).
fof(rqRealNeg__k4_xcmplx_0__rm38_r38,axiom,( k4_xcmplx_0(k4_xcmplx_0(38)) = 38 )).
fof(rqRealNeg__k4_xcmplx_0__rm39_r39,axiom,( k4_xcmplx_0(k4_xcmplx_0(39)) = 39 )).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3,axiom,( k4_xcmplx_0(k4_xcmplx_0(3)) = 3 )).
fof(rqRealNeg__k4_xcmplx_0__rm40_r40,axiom,( k4_xcmplx_0(k4_xcmplx_0(40)) = 40 )).
fof(rqRealNeg__k4_xcmplx_0__rm414_r414,axiom,( k4_xcmplx_0(k4_xcmplx_0(414)) = 414 )).
fof(rqRealNeg__k4_xcmplx_0__rm419_r419,axiom,( k4_xcmplx_0(k4_xcmplx_0(419)) = 419 )).
fof(rqRealNeg__k4_xcmplx_0__rm42_r42,axiom,( k4_xcmplx_0(k4_xcmplx_0(42)) = 42 )).
fof(rqRealNeg__k4_xcmplx_0__rm44_r44,axiom,( k4_xcmplx_0(k4_xcmplx_0(44)) = 44 )).
fof(rqRealNeg__k4_xcmplx_0__rm45_r45,axiom,( k4_xcmplx_0(k4_xcmplx_0(45)) = 45 )).
fof(rqRealNeg__k4_xcmplx_0__rm46_r46,axiom,( k4_xcmplx_0(k4_xcmplx_0(46)) = 46 )).
fof(rqRealNeg__k4_xcmplx_0__rm47_r47,axiom,( k4_xcmplx_0(k4_xcmplx_0(47)) = 47 )).
fof(rqRealNeg__k4_xcmplx_0__rm48_r48,axiom,( k4_xcmplx_0(k4_xcmplx_0(48)) = 48 )).
fof(rqRealNeg__k4_xcmplx_0__rm4_r4,axiom,( k4_xcmplx_0(k4_xcmplx_0(4)) = 4 )).
fof(rqRealNeg__k4_xcmplx_0__rm50_r50,axiom,( k4_xcmplx_0(k4_xcmplx_0(50)) = 50 )).
fof(rqRealNeg__k4_xcmplx_0__rm510_r510,axiom,( k4_xcmplx_0(k4_xcmplx_0(510)) = 510 )).
fof(rqRealNeg__k4_xcmplx_0__rm512_r512,axiom,( k4_xcmplx_0(k4_xcmplx_0(512)) = 512 )).
fof(rqRealNeg__k4_xcmplx_0__rm52_r52,axiom,( k4_xcmplx_0(k4_xcmplx_0(52)) = 52 )).
fof(rqRealNeg__k4_xcmplx_0__rm53_r53,axiom,( k4_xcmplx_0(k4_xcmplx_0(53)) = 53 )).
fof(rqRealNeg__k4_xcmplx_0__rm54_r54,axiom,( k4_xcmplx_0(k4_xcmplx_0(54)) = 54 )).
fof(rqRealNeg__k4_xcmplx_0__rm55_r55,axiom,( k4_xcmplx_0(k4_xcmplx_0(55)) = 55 )).
fof(rqRealNeg__k4_xcmplx_0__rm56_r56,axiom,( k4_xcmplx_0(k4_xcmplx_0(56)) = 56 )).
fof(rqRealNeg__k4_xcmplx_0__rm576_r576,axiom,( k4_xcmplx_0(k4_xcmplx_0(576)) = 576 )).
fof(rqRealNeg__k4_xcmplx_0__rm57_r57,axiom,( k4_xcmplx_0(k4_xcmplx_0(57)) = 57 )).
fof(rqRealNeg__k4_xcmplx_0__rm59_r59,axiom,( k4_xcmplx_0(k4_xcmplx_0(59)) = 59 )).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5,axiom,( k4_xcmplx_0(k4_xcmplx_0(5)) = 5 )).
fof(rqRealNeg__k4_xcmplx_0__rm63_r63,axiom,( k4_xcmplx_0(k4_xcmplx_0(63)) = 63 )).
fof(rqRealNeg__k4_xcmplx_0__rm640_r640,axiom,( k4_xcmplx_0(k4_xcmplx_0(640)) = 640 )).
fof(rqRealNeg__k4_xcmplx_0__rm641_r641,axiom,( k4_xcmplx_0(k4_xcmplx_0(641)) = 641 )).
fof(rqRealNeg__k4_xcmplx_0__rm64_r64,axiom,( k4_xcmplx_0(k4_xcmplx_0(64)) = 64 )).
fof(rqRealNeg__k4_xcmplx_0__rm68_r68,axiom,( k4_xcmplx_0(k4_xcmplx_0(68)) = 68 )).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6,axiom,( k4_xcmplx_0(k4_xcmplx_0(6)) = 6 )).
fof(rqRealNeg__k4_xcmplx_0__rm70_r70,axiom,( k4_xcmplx_0(k4_xcmplx_0(70)) = 70 )).
fof(rqRealNeg__k4_xcmplx_0__rm72_r72,axiom,( k4_xcmplx_0(k4_xcmplx_0(72)) = 72 )).
fof(rqRealNeg__k4_xcmplx_0__rm75_r75,axiom,( k4_xcmplx_0(k4_xcmplx_0(75)) = 75 )).
fof(rqRealNeg__k4_xcmplx_0__rm768_r768,axiom,( k4_xcmplx_0(k4_xcmplx_0(768)) = 768 )).
fof(rqRealNeg__k4_xcmplx_0__rm76_r76,axiom,( k4_xcmplx_0(k4_xcmplx_0(76)) = 76 )).
fof(rqRealNeg__k4_xcmplx_0__rm78_r78,axiom,( k4_xcmplx_0(k4_xcmplx_0(78)) = 78 )).
fof(rqRealNeg__k4_xcmplx_0__rm7_r7,axiom,( k4_xcmplx_0(k4_xcmplx_0(7)) = 7 )).
fof(rqRealNeg__k4_xcmplx_0__rm80_r80,axiom,( k4_xcmplx_0(k4_xcmplx_0(80)) = 80 )).
fof(rqRealNeg__k4_xcmplx_0__rm81_r81,axiom,( k4_xcmplx_0(k4_xcmplx_0(81)) = 81 )).
fof(rqRealNeg__k4_xcmplx_0__rm84_r84,axiom,( k4_xcmplx_0(k4_xcmplx_0(84)) = 84 )).
fof(rqRealNeg__k4_xcmplx_0__rm8_r8,axiom,( k4_xcmplx_0(k4_xcmplx_0(8)) = 8 )).
fof(rqRealNeg__k4_xcmplx_0__rm90_r90,axiom,( k4_xcmplx_0(k4_xcmplx_0(90)) = 90 )).
fof(rqRealNeg__k4_xcmplx_0__rm91_r91,axiom,( k4_xcmplx_0(k4_xcmplx_0(91)) = 91 )).
fof(rqRealNeg__k4_xcmplx_0__rm96_r96,axiom,( k4_xcmplx_0(k4_xcmplx_0(96)) = 96 )).
fof(rqRealNeg__k4_xcmplx_0__rm9_r9,axiom,( k4_xcmplx_0(k4_xcmplx_0(9)) = 9 )).
fof(rqRealNeg__k4_xcmplx_0__rn10d3_rnm10d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(10,3)) = k7_xcmplx_0(k4_xcmplx_0(10),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn119d120_rnm119d120,axiom,( k4_xcmplx_0(k7_xcmplx_0(119,120)) = k7_xcmplx_0(k4_xcmplx_0(119),120) )).
fof(rqRealNeg__k4_xcmplx_0__rn119d240_rnm119d240,axiom,( k4_xcmplx_0(k7_xcmplx_0(119,240)) = k7_xcmplx_0(k4_xcmplx_0(119),240) )).
fof(rqRealNeg__k4_xcmplx_0__rn119d9_rnm119d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(119,9)) = k7_xcmplx_0(k4_xcmplx_0(119),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d10_rnm11d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,10)) = k7_xcmplx_0(k4_xcmplx_0(11),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d12_rnm11d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,12)) = k7_xcmplx_0(k4_xcmplx_0(11),12) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d16_rnm11d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,16)) = k7_xcmplx_0(k4_xcmplx_0(11),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d24_rnm11d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,24)) = k7_xcmplx_0(k4_xcmplx_0(11),24) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d2_rnm11d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,2)) = k7_xcmplx_0(k4_xcmplx_0(11),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d36_rnm11d36,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,36)) = k7_xcmplx_0(k4_xcmplx_0(11),36) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d3_rnm11d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,3)) = k7_xcmplx_0(k4_xcmplx_0(11),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d4_rnm11d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,4)) = k7_xcmplx_0(k4_xcmplx_0(11),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn11d6_rnm11d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(11,6)) = k7_xcmplx_0(k4_xcmplx_0(11),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn121d120_rnm121d120,axiom,( k4_xcmplx_0(k7_xcmplx_0(121,120)) = k7_xcmplx_0(k4_xcmplx_0(121),120) )).
fof(rqRealNeg__k4_xcmplx_0__rn121d20_rnm121d20,axiom,( k4_xcmplx_0(k7_xcmplx_0(121,20)) = k7_xcmplx_0(k4_xcmplx_0(121),20) )).
fof(rqRealNeg__k4_xcmplx_0__rn121d30_rnm121d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(121,30)) = k7_xcmplx_0(k4_xcmplx_0(121),30) )).
fof(rqRealNeg__k4_xcmplx_0__rn121d40_rnm121d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(121,40)) = k7_xcmplx_0(k4_xcmplx_0(121),40) )).
fof(rqRealNeg__k4_xcmplx_0__rn121d480_rnm121d480,axiom,( k4_xcmplx_0(k7_xcmplx_0(121,480)) = k7_xcmplx_0(k4_xcmplx_0(121),480) )).
fof(rqRealNeg__k4_xcmplx_0__rn121d4_rnm121d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(121,4)) = k7_xcmplx_0(k4_xcmplx_0(121),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn121d5_rnm121d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(121,5)) = k7_xcmplx_0(k4_xcmplx_0(121),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn12d5_rnm12d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(12,5)) = k7_xcmplx_0(k4_xcmplx_0(12),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn13d10_rnm13d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(13,10)) = k7_xcmplx_0(k4_xcmplx_0(13),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn13d16_rnm13d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(13,16)) = k7_xcmplx_0(k4_xcmplx_0(13),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn13d2_rnm13d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(13,2)) = k7_xcmplx_0(k4_xcmplx_0(13),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn13d4_rnm13d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(13,4)) = k7_xcmplx_0(k4_xcmplx_0(13),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn13d6_rnm13d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(13,6)) = k7_xcmplx_0(k4_xcmplx_0(13),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn13d8_rnm13d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(13,8)) = k7_xcmplx_0(k4_xcmplx_0(13),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn13d9_rnm13d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(13,9)) = k7_xcmplx_0(k4_xcmplx_0(13),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn149d5_rnm149d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(149,5)) = k7_xcmplx_0(k4_xcmplx_0(149),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn14d3_rnm14d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(14,3)) = k7_xcmplx_0(k4_xcmplx_0(14),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn14d9_rnm14d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(14,9)) = k7_xcmplx_0(k4_xcmplx_0(14),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn159d100_rnm159d100,axiom,( k4_xcmplx_0(k7_xcmplx_0(159,100)) = k7_xcmplx_0(k4_xcmplx_0(159),100) )).
fof(rqRealNeg__k4_xcmplx_0__rn159d200_rnm159d200,axiom,( k4_xcmplx_0(k7_xcmplx_0(159,200)) = k7_xcmplx_0(k4_xcmplx_0(159),200) )).
fof(rqRealNeg__k4_xcmplx_0__rn15d16_rnm15d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(15,16)) = k7_xcmplx_0(k4_xcmplx_0(15),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn15d2_rnm15d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(15,2)) = k7_xcmplx_0(k4_xcmplx_0(15),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn15d32_rnm15d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(15,32)) = k7_xcmplx_0(k4_xcmplx_0(15),32) )).
fof(rqRealNeg__k4_xcmplx_0__rn15d4_rnm15d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(15,4)) = k7_xcmplx_0(k4_xcmplx_0(15),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn15d8_rnm15d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(15,8)) = k7_xcmplx_0(k4_xcmplx_0(15),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn16d3_rnm16d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(16,3)) = k7_xcmplx_0(k4_xcmplx_0(16),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn16d5_rnm16d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(16,5)) = k7_xcmplx_0(k4_xcmplx_0(16),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn17d16_rnm17d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(17,16)) = k7_xcmplx_0(k4_xcmplx_0(17),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn17d4_rnm17d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(17,4)) = k7_xcmplx_0(k4_xcmplx_0(17),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn17d6_rnm17d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(17,6)) = k7_xcmplx_0(k4_xcmplx_0(17),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn17d8_rnm17d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(17,8)) = k7_xcmplx_0(k4_xcmplx_0(17),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn17d9_rnm17d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(17,9)) = k7_xcmplx_0(k4_xcmplx_0(17),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn18d5_rnm18d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(18,5)) = k7_xcmplx_0(k4_xcmplx_0(18),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn19d10_rnm19d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(19,10)) = k7_xcmplx_0(k4_xcmplx_0(19),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn19d18_rnm19d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(19,18)) = k7_xcmplx_0(k4_xcmplx_0(19),18) )).
fof(rqRealNeg__k4_xcmplx_0__rn19d3_rnm19d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(19,3)) = k7_xcmplx_0(k4_xcmplx_0(19),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn19d8_rnm19d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(19,8)) = k7_xcmplx_0(k4_xcmplx_0(19),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d100_rnm1d100,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,100)) = k7_xcmplx_0(k4_xcmplx_0(1),100) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d108_rnm1d108,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,108)) = k7_xcmplx_0(k4_xcmplx_0(1),108) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d10_rnm1d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,10)) = k7_xcmplx_0(k4_xcmplx_0(1),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d120_rnm1d120,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,120)) = k7_xcmplx_0(k4_xcmplx_0(1),120) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d128_rnm1d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,128)) = k7_xcmplx_0(k4_xcmplx_0(1),128) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d12_rnm1d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,12)) = k7_xcmplx_0(k4_xcmplx_0(1),12) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d14_rnm1d14,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,14)) = k7_xcmplx_0(k4_xcmplx_0(1),14) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d168_rnm1d168,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,168)) = k7_xcmplx_0(k4_xcmplx_0(1),168) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d16_rnm1d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,16)) = k7_xcmplx_0(k4_xcmplx_0(1),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d18_rnm1d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,18)) = k7_xcmplx_0(k4_xcmplx_0(1),18) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d21_rnm1d21,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,21)) = k7_xcmplx_0(k4_xcmplx_0(1),21) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d240_rnm1d240,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,240)) = k7_xcmplx_0(k4_xcmplx_0(1),240) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d24_rnm1d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,24)) = k7_xcmplx_0(k4_xcmplx_0(1),24) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d256_rnm1d256,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,256)) = k7_xcmplx_0(k4_xcmplx_0(1),256) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d25_rnm1d25,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,25)) = k7_xcmplx_0(k4_xcmplx_0(1),25) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d27_rnm1d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,27)) = k7_xcmplx_0(k4_xcmplx_0(1),27) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d30_rnm1d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,30)) = k7_xcmplx_0(k4_xcmplx_0(1),30) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d32_rnm1d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,32)) = k7_xcmplx_0(k4_xcmplx_0(1),32) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d36_rnm1d36,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,36)) = k7_xcmplx_0(k4_xcmplx_0(1),36) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d40_rnm1d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,40)) = k7_xcmplx_0(k4_xcmplx_0(1),40) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d42_rnm1d42,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,42)) = k7_xcmplx_0(k4_xcmplx_0(1),42) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d48_rnm1d48,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,48)) = k7_xcmplx_0(k4_xcmplx_0(1),48) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d54_rnm1d54,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,54)) = k7_xcmplx_0(k4_xcmplx_0(1),54) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d5_rnm1d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,5)) = k7_xcmplx_0(k4_xcmplx_0(1),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d60_rnm1d60,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,60)) = k7_xcmplx_0(k4_xcmplx_0(1),60) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d64_rnm1d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,64)) = k7_xcmplx_0(k4_xcmplx_0(1),64) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d6_rnm1d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,6)) = k7_xcmplx_0(k4_xcmplx_0(1),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d729_rnm1d729,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,729)) = k7_xcmplx_0(k4_xcmplx_0(1),729) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d7_rnm1d7,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,7)) = k7_xcmplx_0(k4_xcmplx_0(1),7) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d80_rnm1d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,80)) = k7_xcmplx_0(k4_xcmplx_0(1),80) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d81_rnm1d81,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,81)) = k7_xcmplx_0(k4_xcmplx_0(1),81) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d8_rnm1d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,8)) = k7_xcmplx_0(k4_xcmplx_0(1),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn1d9_rnm1d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(1,9)) = k7_xcmplx_0(k4_xcmplx_0(1),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn216d5_rnm216d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(216,5)) = k7_xcmplx_0(k4_xcmplx_0(216),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn21d128_rnm21d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(21,128)) = k7_xcmplx_0(k4_xcmplx_0(21),128) )).
fof(rqRealNeg__k4_xcmplx_0__rn21d16_rnm21d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(21,16)) = k7_xcmplx_0(k4_xcmplx_0(21),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn21d2_rnm21d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(21,2)) = k7_xcmplx_0(k4_xcmplx_0(21),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn21d4_rnm21d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(21,4)) = k7_xcmplx_0(k4_xcmplx_0(21),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn21d64_rnm21d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(21,64)) = k7_xcmplx_0(k4_xcmplx_0(21),64) )).
fof(rqRealNeg__k4_xcmplx_0__rn21d8_rnm21d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(21,8)) = k7_xcmplx_0(k4_xcmplx_0(21),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn22d15_rnm22d15,axiom,( k4_xcmplx_0(k7_xcmplx_0(22,15)) = k7_xcmplx_0(k4_xcmplx_0(22),15) )).
fof(rqRealNeg__k4_xcmplx_0__rn22d5_rnm22d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(22,5)) = k7_xcmplx_0(k4_xcmplx_0(22),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn23d24_rnm23d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(23,24)) = k7_xcmplx_0(k4_xcmplx_0(23),24) )).
fof(rqRealNeg__k4_xcmplx_0__rn23d2_rnm23d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(23,2)) = k7_xcmplx_0(k4_xcmplx_0(23),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn23d6_rnm23d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(23,6)) = k7_xcmplx_0(k4_xcmplx_0(23),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn23d8_rnm23d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(23,8)) = k7_xcmplx_0(k4_xcmplx_0(23),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn241d10_rnm241d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(241,10)) = k7_xcmplx_0(k4_xcmplx_0(241),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn241d240_rnm241d240,axiom,( k4_xcmplx_0(k7_xcmplx_0(241,240)) = k7_xcmplx_0(k4_xcmplx_0(241),240) )).
fof(rqRealNeg__k4_xcmplx_0__rn241d2_rnm241d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(241,2)) = k7_xcmplx_0(k4_xcmplx_0(241),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn241d40_rnm241d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(241,40)) = k7_xcmplx_0(k4_xcmplx_0(241),40) )).
fof(rqRealNeg__k4_xcmplx_0__rn241d60_rnm241d60,axiom,( k4_xcmplx_0(k7_xcmplx_0(241,60)) = k7_xcmplx_0(k4_xcmplx_0(241),60) )).
fof(rqRealNeg__k4_xcmplx_0__rn241d80_rnm241d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(241,80)) = k7_xcmplx_0(k4_xcmplx_0(241),80) )).
fof(rqRealNeg__k4_xcmplx_0__rn243d10_rnm243d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(243,10)) = k7_xcmplx_0(k4_xcmplx_0(243),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn243d2_rnm243d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(243,2)) = k7_xcmplx_0(k4_xcmplx_0(243),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn243d40_rnm243d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(243,40)) = k7_xcmplx_0(k4_xcmplx_0(243),40) )).
fof(rqRealNeg__k4_xcmplx_0__rn243d80_rnm243d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(243,80)) = k7_xcmplx_0(k4_xcmplx_0(243),80) )).
fof(rqRealNeg__k4_xcmplx_0__rn243d8_rnm243d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(243,8)) = k7_xcmplx_0(k4_xcmplx_0(243),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn245d18_rnm245d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(245,18)) = k7_xcmplx_0(k4_xcmplx_0(245),18) )).
fof(rqRealNeg__k4_xcmplx_0__rn24d5_rnm24d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(24,5)) = k7_xcmplx_0(k4_xcmplx_0(24),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn255d4_rnm255d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(255,4)) = k7_xcmplx_0(k4_xcmplx_0(255),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn25d16_rnm25d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(25,16)) = k7_xcmplx_0(k4_xcmplx_0(25),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn25d18_rnm25d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(25,18)) = k7_xcmplx_0(k4_xcmplx_0(25),18) )).
fof(rqRealNeg__k4_xcmplx_0__rn25d24_rnm25d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(25,24)) = k7_xcmplx_0(k4_xcmplx_0(25),24) )).
fof(rqRealNeg__k4_xcmplx_0__rn25d2_rnm25d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(25,2)) = k7_xcmplx_0(k4_xcmplx_0(25),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn25d36_rnm25d36,axiom,( k4_xcmplx_0(k7_xcmplx_0(25,36)) = k7_xcmplx_0(k4_xcmplx_0(25),36) )).
fof(rqRealNeg__k4_xcmplx_0__rn25d3_rnm25d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(25,3)) = k7_xcmplx_0(k4_xcmplx_0(25),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn25d4_rnm25d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(25,4)) = k7_xcmplx_0(k4_xcmplx_0(25),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn26d3_rnm26d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(26,3)) = k7_xcmplx_0(k4_xcmplx_0(26),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn274d5_rnm274d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(274,5)) = k7_xcmplx_0(k4_xcmplx_0(274),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn27d16_rnm27d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(27,16)) = k7_xcmplx_0(k4_xcmplx_0(27),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn27d2_rnm27d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(27,2)) = k7_xcmplx_0(k4_xcmplx_0(27),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn27d4_rnm27d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(27,4)) = k7_xcmplx_0(k4_xcmplx_0(27),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn28d3_rnm28d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(28,3)) = k7_xcmplx_0(k4_xcmplx_0(28),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn28d9_rnm28d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(28,9)) = k7_xcmplx_0(k4_xcmplx_0(28),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn29d10_rnm29d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(29,10)) = k7_xcmplx_0(k4_xcmplx_0(29),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn29d36_rnm29d36,axiom,( k4_xcmplx_0(k7_xcmplx_0(29,36)) = k7_xcmplx_0(k4_xcmplx_0(29),36) )).
fof(rqRealNeg__k4_xcmplx_0__rn29d5_rnm29d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(29,5)) = k7_xcmplx_0(k4_xcmplx_0(29),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn2d27_rnm2d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(2,27)) = k7_xcmplx_0(k4_xcmplx_0(2),27) )).
fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn2d5_rnm2d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(2,5)) = k7_xcmplx_0(k4_xcmplx_0(2),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn2d729_rnm2d729,axiom,( k4_xcmplx_0(k7_xcmplx_0(2,729)) = k7_xcmplx_0(k4_xcmplx_0(2),729) )).
fof(rqRealNeg__k4_xcmplx_0__rn2d7_rnm2d7,axiom,( k4_xcmplx_0(k7_xcmplx_0(2,7)) = k7_xcmplx_0(k4_xcmplx_0(2),7) )).
fof(rqRealNeg__k4_xcmplx_0__rn2d9_rnm2d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(2,9)) = k7_xcmplx_0(k4_xcmplx_0(2),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn31d12_rnm31d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(31,12)) = k7_xcmplx_0(k4_xcmplx_0(31),12) )).
fof(rqRealNeg__k4_xcmplx_0__rn31d24_rnm31d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(31,24)) = k7_xcmplx_0(k4_xcmplx_0(31),24) )).
fof(rqRealNeg__k4_xcmplx_0__rn31d2_rnm31d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(31,2)) = k7_xcmplx_0(k4_xcmplx_0(31),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn31d30_rnm31d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(31,30)) = k7_xcmplx_0(k4_xcmplx_0(31),30) )).
fof(rqRealNeg__k4_xcmplx_0__rn31d32_rnm31d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(31,32)) = k7_xcmplx_0(k4_xcmplx_0(31),32) )).
fof(rqRealNeg__k4_xcmplx_0__rn31d4_rnm31d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(31,4)) = k7_xcmplx_0(k4_xcmplx_0(31),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn33d16_rnm33d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(33,16)) = k7_xcmplx_0(k4_xcmplx_0(33),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn343d729_rnm343d729,axiom,( k4_xcmplx_0(k7_xcmplx_0(343,729)) = k7_xcmplx_0(k4_xcmplx_0(343),729) )).
fof(rqRealNeg__k4_xcmplx_0__rn34d3_rnm34d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(34,3)) = k7_xcmplx_0(k4_xcmplx_0(34),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d128_rnm35d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,128)) = k7_xcmplx_0(k4_xcmplx_0(35),128) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d16_rnm35d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,16)) = k7_xcmplx_0(k4_xcmplx_0(35),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d18_rnm35d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,18)) = k7_xcmplx_0(k4_xcmplx_0(35),18) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d2_rnm35d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,2)) = k7_xcmplx_0(k4_xcmplx_0(35),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d36_rnm35d36,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,36)) = k7_xcmplx_0(k4_xcmplx_0(35),36) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d3_rnm35d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,3)) = k7_xcmplx_0(k4_xcmplx_0(35),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d64_rnm35d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,64)) = k7_xcmplx_0(k4_xcmplx_0(35),64) )).
fof(rqRealNeg__k4_xcmplx_0__rn35d6_rnm35d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(35,6)) = k7_xcmplx_0(k4_xcmplx_0(35),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn36d5_rnm36d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(36,5)) = k7_xcmplx_0(k4_xcmplx_0(36),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn37d18_rnm37d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(37,18)) = k7_xcmplx_0(k4_xcmplx_0(37),18) )).
fof(rqRealNeg__k4_xcmplx_0__rn37d3_rnm37d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(37,3)) = k7_xcmplx_0(k4_xcmplx_0(37),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn37d4_rnm37d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(37,4)) = k7_xcmplx_0(k4_xcmplx_0(37),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d10_rnm3d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,10)) = k7_xcmplx_0(k4_xcmplx_0(3),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d128_rnm3d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,128)) = k7_xcmplx_0(k4_xcmplx_0(3),128) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d14_rnm3d14,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,14)) = k7_xcmplx_0(k4_xcmplx_0(3),14) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d16_rnm3d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,16)) = k7_xcmplx_0(k4_xcmplx_0(3),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d256_rnm3d256,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,256)) = k7_xcmplx_0(k4_xcmplx_0(3),256) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d32_rnm3d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,32)) = k7_xcmplx_0(k4_xcmplx_0(3),32) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d5_rnm3d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,5)) = k7_xcmplx_0(k4_xcmplx_0(3),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d64_rnm3d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,64)) = k7_xcmplx_0(k4_xcmplx_0(3),64) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d7_rnm3d7,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,7)) = k7_xcmplx_0(k4_xcmplx_0(3),7) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d80_rnm3d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,80)) = k7_xcmplx_0(k4_xcmplx_0(3),80) )).
fof(rqRealNeg__k4_xcmplx_0__rn3d8_rnm3d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(3,8)) = k7_xcmplx_0(k4_xcmplx_0(3),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn41d2_rnm41d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(41,2)) = k7_xcmplx_0(k4_xcmplx_0(41),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn41d6_rnm41d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(41,6)) = k7_xcmplx_0(k4_xcmplx_0(41),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn45d16_rnm45d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(45,16)) = k7_xcmplx_0(k4_xcmplx_0(45),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn47d16_rnm47d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(47,16)) = k7_xcmplx_0(k4_xcmplx_0(47),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn48d5_rnm48d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(48,5)) = k7_xcmplx_0(k4_xcmplx_0(48),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn49d48_rnm49d48,axiom,( k4_xcmplx_0(k7_xcmplx_0(49,48)) = k7_xcmplx_0(k4_xcmplx_0(49),48) )).
fof(rqRealNeg__k4_xcmplx_0__rn49d729_rnm49d729,axiom,( k4_xcmplx_0(k7_xcmplx_0(49,729)) = k7_xcmplx_0(k4_xcmplx_0(49),729) )).
fof(rqRealNeg__k4_xcmplx_0__rn49d81_rnm49d81,axiom,( k4_xcmplx_0(k7_xcmplx_0(49,81)) = k7_xcmplx_0(k4_xcmplx_0(49),81) )).
fof(rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn4d5_rnm4d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(4,5)) = k7_xcmplx_0(k4_xcmplx_0(4),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn4d9_rnm4d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(4,9)) = k7_xcmplx_0(k4_xcmplx_0(4),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn52d27_rnm52d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(52,27)) = k7_xcmplx_0(k4_xcmplx_0(52),27) )).
fof(rqRealNeg__k4_xcmplx_0__rn53d6_rnm53d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(53,6)) = k7_xcmplx_0(k4_xcmplx_0(53),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn55d2_rnm55d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(55,2)) = k7_xcmplx_0(k4_xcmplx_0(55),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn57d4_rnm57d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(57,4)) = k7_xcmplx_0(k4_xcmplx_0(57),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn59d30_rnm59d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(59,30)) = k7_xcmplx_0(k4_xcmplx_0(59),30) )).
fof(rqRealNeg__k4_xcmplx_0__rn59d60_rnm59d60,axiom,( k4_xcmplx_0(k7_xcmplx_0(59,60)) = k7_xcmplx_0(k4_xcmplx_0(59),60) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d12_rnm5d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,12)) = k7_xcmplx_0(k4_xcmplx_0(5),12) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d16_rnm5d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,16)) = k7_xcmplx_0(k4_xcmplx_0(5),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d2_rnm5d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,2)) = k7_xcmplx_0(k4_xcmplx_0(5),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d32_rnm5d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,32)) = k7_xcmplx_0(k4_xcmplx_0(5),32) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d3_rnm5d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,3)) = k7_xcmplx_0(k4_xcmplx_0(5),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d48_rnm5d48,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,48)) = k7_xcmplx_0(k4_xcmplx_0(5),48) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d4_rnm5d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,4)) = k7_xcmplx_0(k4_xcmplx_0(5),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d6_rnm5d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,6)) = k7_xcmplx_0(k4_xcmplx_0(5),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn5d8_rnm5d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(5,8)) = k7_xcmplx_0(k4_xcmplx_0(5),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn61d4_rnm61d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(61,4)) = k7_xcmplx_0(k4_xcmplx_0(61),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn63d4_rnm63d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(63,4)) = k7_xcmplx_0(k4_xcmplx_0(63),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn641d25_rnm641d25,axiom,( k4_xcmplx_0(k7_xcmplx_0(641,25)) = k7_xcmplx_0(k4_xcmplx_0(641),25) )).
fof(rqRealNeg__k4_xcmplx_0__rn641d5_rnm641d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(641,5)) = k7_xcmplx_0(k4_xcmplx_0(641),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn6d5_rnm6d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(6,5)) = k7_xcmplx_0(k4_xcmplx_0(6),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn71d6_rnm71d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(71,6)) = k7_xcmplx_0(k4_xcmplx_0(71),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn72d5_rnm72d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(72,5)) = k7_xcmplx_0(k4_xcmplx_0(72),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn75d2_rnm75d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(75,2)) = k7_xcmplx_0(k4_xcmplx_0(75),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn765d256_rnm765d256,axiom,( k4_xcmplx_0(k7_xcmplx_0(765,256)) = k7_xcmplx_0(k4_xcmplx_0(765),256) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d10_rnm7d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,10)) = k7_xcmplx_0(k4_xcmplx_0(7),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d128_rnm7d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,128)) = k7_xcmplx_0(k4_xcmplx_0(7),128) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d16_rnm7d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,16)) = k7_xcmplx_0(k4_xcmplx_0(7),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d18_rnm7d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,18)) = k7_xcmplx_0(k4_xcmplx_0(7),18) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d2_rnm7d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,2)) = k7_xcmplx_0(k4_xcmplx_0(7),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d30_rnm7d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,30)) = k7_xcmplx_0(k4_xcmplx_0(7),30) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d32_rnm7d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,32)) = k7_xcmplx_0(k4_xcmplx_0(7),32) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d3_rnm7d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,3)) = k7_xcmplx_0(k4_xcmplx_0(7),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d4_rnm7d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,4)) = k7_xcmplx_0(k4_xcmplx_0(7),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d64_rnm7d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,64)) = k7_xcmplx_0(k4_xcmplx_0(7),64) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d6_rnm7d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,6)) = k7_xcmplx_0(k4_xcmplx_0(7),6) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d8_rnm7d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,8)) = k7_xcmplx_0(k4_xcmplx_0(7),8) )).
fof(rqRealNeg__k4_xcmplx_0__rn7d9_rnm7d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(7,9)) = k7_xcmplx_0(k4_xcmplx_0(7),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn81d20_rnm81d20,axiom,( k4_xcmplx_0(k7_xcmplx_0(81,20)) = k7_xcmplx_0(k4_xcmplx_0(81),20) )).
fof(rqRealNeg__k4_xcmplx_0__rn81d4_rnm81d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(81,4)) = k7_xcmplx_0(k4_xcmplx_0(81),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn81d5_rnm81d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(81,5)) = k7_xcmplx_0(k4_xcmplx_0(81),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn81d80_rnm81d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(81,80)) = k7_xcmplx_0(k4_xcmplx_0(81),80) )).
fof(rqRealNeg__k4_xcmplx_0__rn83d4_rnm83d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(83,4)) = k7_xcmplx_0(k4_xcmplx_0(83),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn85d4_rnm85d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(85,4)) = k7_xcmplx_0(k4_xcmplx_0(85),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn8d27_rnm8d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(8,27)) = k7_xcmplx_0(k4_xcmplx_0(8),27) )).
fof(rqRealNeg__k4_xcmplx_0__rn8d3_rnm8d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(8,3)) = k7_xcmplx_0(k4_xcmplx_0(8),3) )).
fof(rqRealNeg__k4_xcmplx_0__rn8d5_rnm8d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(8,5)) = k7_xcmplx_0(k4_xcmplx_0(8),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn8d9_rnm8d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(8,9)) = k7_xcmplx_0(k4_xcmplx_0(8),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn98d9_rnm98d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(98,9)) = k7_xcmplx_0(k4_xcmplx_0(98),9) )).
fof(rqRealNeg__k4_xcmplx_0__rn9d10_rnm9d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(9,10)) = k7_xcmplx_0(k4_xcmplx_0(9),10) )).
fof(rqRealNeg__k4_xcmplx_0__rn9d16_rnm9d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(9,16)) = k7_xcmplx_0(k4_xcmplx_0(9),16) )).
fof(rqRealNeg__k4_xcmplx_0__rn9d256_rnm9d256,axiom,( k4_xcmplx_0(k7_xcmplx_0(9,256)) = k7_xcmplx_0(k4_xcmplx_0(9),256) )).
fof(rqRealNeg__k4_xcmplx_0__rn9d2_rnm9d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(9,2)) = k7_xcmplx_0(k4_xcmplx_0(9),2) )).
fof(rqRealNeg__k4_xcmplx_0__rn9d4_rnm9d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(9,4)) = k7_xcmplx_0(k4_xcmplx_0(9),4) )).
fof(rqRealNeg__k4_xcmplx_0__rn9d5_rnm9d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(9,5)) = k7_xcmplx_0(k4_xcmplx_0(9),5) )).
fof(rqRealNeg__k4_xcmplx_0__rn9d8_rnm9d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(9,8)) = k7_xcmplx_0(k4_xcmplx_0(9),8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm10d3_rn10d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(10),3)) = k7_xcmplx_0(10,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm111d16_rn111d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(111),16)) = k7_xcmplx_0(111,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm116d5_rn116d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(116),5)) = k7_xcmplx_0(116,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm119d120_rn119d120,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(119),120)) = k7_xcmplx_0(119,120) )).
fof(rqRealNeg__k4_xcmplx_0__rnm119d240_rn119d240,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(119),240)) = k7_xcmplx_0(119,240) )).
fof(rqRealNeg__k4_xcmplx_0__rnm119d9_rn119d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(119),9)) = k7_xcmplx_0(119,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm11d10_rn11d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),10)) = k7_xcmplx_0(11,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm11d12_rn11d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),12)) = k7_xcmplx_0(11,12) )).
fof(rqRealNeg__k4_xcmplx_0__rnm11d2_rn11d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),2)) = k7_xcmplx_0(11,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm11d3_rn11d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),3)) = k7_xcmplx_0(11,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm11d4_rn11d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),4)) = k7_xcmplx_0(11,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm11d5_rn11d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),5)) = k7_xcmplx_0(11,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm11d6_rn11d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11),6)) = k7_xcmplx_0(11,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d120_rn121d120,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),120)) = k7_xcmplx_0(121,120) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d160_rn121d160,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),160)) = k7_xcmplx_0(121,160) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d20_rn121d20,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),20)) = k7_xcmplx_0(121,20) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d30_rn121d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),30)) = k7_xcmplx_0(121,30) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d40_rn121d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),40)) = k7_xcmplx_0(121,40) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d4_rn121d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),4)) = k7_xcmplx_0(121,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d5_rn121d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),5)) = k7_xcmplx_0(121,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm121d80_rn121d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(121),80)) = k7_xcmplx_0(121,80) )).
fof(rqRealNeg__k4_xcmplx_0__rnm12d5_rn12d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12),5)) = k7_xcmplx_0(12,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm133d18_rn133d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(133),18)) = k7_xcmplx_0(133,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm13d10_rn13d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),10)) = k7_xcmplx_0(13,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm13d2_rn13d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),2)) = k7_xcmplx_0(13,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm13d4_rn13d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),4)) = k7_xcmplx_0(13,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm13d6_rn13d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),6)) = k7_xcmplx_0(13,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm13d9_rn13d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(13),9)) = k7_xcmplx_0(13,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm144d5_rn144d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(144),5)) = k7_xcmplx_0(144,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm149d5_rn149d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(149),5)) = k7_xcmplx_0(149,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm14d3_rn14d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(14),3)) = k7_xcmplx_0(14,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm14d9_rn14d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(14),9)) = k7_xcmplx_0(14,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm159d100_rn159d100,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),100)) = k7_xcmplx_0(159,100) )).
fof(rqRealNeg__k4_xcmplx_0__rnm159d50_rn159d50,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(159),50)) = k7_xcmplx_0(159,50) )).
fof(rqRealNeg__k4_xcmplx_0__rnm15d16_rn15d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),16)) = k7_xcmplx_0(15,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm15d2_rn15d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),2)) = k7_xcmplx_0(15,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm15d32_rn15d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),32)) = k7_xcmplx_0(15,32) )).
fof(rqRealNeg__k4_xcmplx_0__rnm15d4_rn15d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),4)) = k7_xcmplx_0(15,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm15d8_rn15d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(15),8)) = k7_xcmplx_0(15,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm16d3_rn16d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(16),3)) = k7_xcmplx_0(16,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm16d5_rn16d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(16),5)) = k7_xcmplx_0(16,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm175d18_rn175d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(175),18)) = k7_xcmplx_0(175,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm17d2_rn17d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),2)) = k7_xcmplx_0(17,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm17d3_rn17d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),3)) = k7_xcmplx_0(17,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm17d4_rn17d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),4)) = k7_xcmplx_0(17,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm17d6_rn17d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),6)) = k7_xcmplx_0(17,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm17d9_rn17d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(17),9)) = k7_xcmplx_0(17,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm18d5_rn18d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(18),5)) = k7_xcmplx_0(18,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm19d10_rn19d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),10)) = k7_xcmplx_0(19,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm19d18_rn19d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),18)) = k7_xcmplx_0(19,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm19d2_rn19d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),2)) = k7_xcmplx_0(19,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm19d3_rn19d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),3)) = k7_xcmplx_0(19,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm19d6_rn19d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(19),6)) = k7_xcmplx_0(19,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d108_rn1d108,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),108)) = k7_xcmplx_0(1,108) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d10_rn1d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),10)) = k7_xcmplx_0(1,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d128_rn1d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),128)) = k7_xcmplx_0(1,128) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d12_rn1d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),12)) = k7_xcmplx_0(1,12) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d14_rn1d14,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),14)) = k7_xcmplx_0(1,14) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d16_rn1d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),16)) = k7_xcmplx_0(1,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d18_rn1d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),18)) = k7_xcmplx_0(1,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d20_rn1d20,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),20)) = k7_xcmplx_0(1,20) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d240_rn1d240,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),240)) = k7_xcmplx_0(1,240) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d24_rn1d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),24)) = k7_xcmplx_0(1,24) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d256_rn1d256,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),256)) = k7_xcmplx_0(1,256) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d25_rn1d25,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),25)) = k7_xcmplx_0(1,25) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d27_rn1d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),27)) = k7_xcmplx_0(1,27) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d30_rn1d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),30)) = k7_xcmplx_0(1,30) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d32_rn1d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),32)) = k7_xcmplx_0(1,32) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d40_rn1d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),40)) = k7_xcmplx_0(1,40) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d42_rn1d42,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),42)) = k7_xcmplx_0(1,42) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d48_rn1d48,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),48)) = k7_xcmplx_0(1,48) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d512_rn1d512,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),512)) = k7_xcmplx_0(1,512) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d5_rn1d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),5)) = k7_xcmplx_0(1,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d60_rn1d60,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),60)) = k7_xcmplx_0(1,60) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d64_rn1d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),64)) = k7_xcmplx_0(1,64) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d6_rn1d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),6)) = k7_xcmplx_0(1,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d729_rn1d729,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),729)) = k7_xcmplx_0(1,729) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d7_rn1d7,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),7)) = k7_xcmplx_0(1,7) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d80_rn1d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),80)) = k7_xcmplx_0(1,80) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d81_rn1d81,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),81)) = k7_xcmplx_0(1,81) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d8_rn1d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),8)) = k7_xcmplx_0(1,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm1d9_rn1d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),9)) = k7_xcmplx_0(1,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm203d10_rn203d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(203),10)) = k7_xcmplx_0(203,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm20d3_rn20d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(20),3)) = k7_xcmplx_0(20,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm21d128_rn21d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),128)) = k7_xcmplx_0(21,128) )).
fof(rqRealNeg__k4_xcmplx_0__rnm21d16_rn21d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),16)) = k7_xcmplx_0(21,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm21d2_rn21d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),2)) = k7_xcmplx_0(21,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm21d4_rn21d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),4)) = k7_xcmplx_0(21,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm21d64_rn21d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),64)) = k7_xcmplx_0(21,64) )).
fof(rqRealNeg__k4_xcmplx_0__rnm21d8_rn21d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(21),8)) = k7_xcmplx_0(21,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm22d15_rn22d15,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(22),15)) = k7_xcmplx_0(22,15) )).
fof(rqRealNeg__k4_xcmplx_0__rnm22d5_rn22d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(22),5)) = k7_xcmplx_0(22,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm23d24_rn23d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),24)) = k7_xcmplx_0(23,24) )).
fof(rqRealNeg__k4_xcmplx_0__rnm23d2_rn23d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),2)) = k7_xcmplx_0(23,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm23d3_rn23d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),3)) = k7_xcmplx_0(23,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm23d6_rn23d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),6)) = k7_xcmplx_0(23,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm23d8_rn23d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23),8)) = k7_xcmplx_0(23,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm241d10_rn241d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),10)) = k7_xcmplx_0(241,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm241d240_rn241d240,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),240)) = k7_xcmplx_0(241,240) )).
fof(rqRealNeg__k4_xcmplx_0__rnm241d2_rn241d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),2)) = k7_xcmplx_0(241,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm241d40_rn241d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),40)) = k7_xcmplx_0(241,40) )).
fof(rqRealNeg__k4_xcmplx_0__rnm241d60_rn241d60,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),60)) = k7_xcmplx_0(241,60) )).
fof(rqRealNeg__k4_xcmplx_0__rnm241d80_rn241d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),80)) = k7_xcmplx_0(241,80) )).
fof(rqRealNeg__k4_xcmplx_0__rnm241d8_rn241d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(241),8)) = k7_xcmplx_0(241,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm243d10_rn243d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(243),10)) = k7_xcmplx_0(243,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm243d40_rn243d40,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(243),40)) = k7_xcmplx_0(243,40) )).
fof(rqRealNeg__k4_xcmplx_0__rnm243d80_rn243d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(243),80)) = k7_xcmplx_0(243,80) )).
fof(rqRealNeg__k4_xcmplx_0__rnm243d8_rn243d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(243),8)) = k7_xcmplx_0(243,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm245d18_rn245d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(245),18)) = k7_xcmplx_0(245,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm24d25_rn24d25,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(24),25)) = k7_xcmplx_0(24,25) )).
fof(rqRealNeg__k4_xcmplx_0__rnm24d5_rn24d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(24),5)) = k7_xcmplx_0(24,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm255d16_rn255d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(255),16)) = k7_xcmplx_0(255,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm259d18_rn259d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(259),18)) = k7_xcmplx_0(259,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm25d16_rn25d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),16)) = k7_xcmplx_0(25,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm25d18_rn25d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),18)) = k7_xcmplx_0(25,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm25d24_rn25d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),24)) = k7_xcmplx_0(25,24) )).
fof(rqRealNeg__k4_xcmplx_0__rnm25d2_rn25d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),2)) = k7_xcmplx_0(25,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm25d36_rn25d36,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),36)) = k7_xcmplx_0(25,36) )).
fof(rqRealNeg__k4_xcmplx_0__rnm25d3_rn25d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),3)) = k7_xcmplx_0(25,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm25d4_rn25d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(25),4)) = k7_xcmplx_0(25,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm26d3_rn26d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(26),3)) = k7_xcmplx_0(26,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm274d5_rn274d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(274),5)) = k7_xcmplx_0(274,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm27d16_rn27d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),16)) = k7_xcmplx_0(27,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm27d2_rn27d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),2)) = k7_xcmplx_0(27,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm27d4_rn27d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(27),4)) = k7_xcmplx_0(27,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm28d3_rn28d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),3)) = k7_xcmplx_0(28,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm28d9_rn28d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(28),9)) = k7_xcmplx_0(28,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm29d2_rn29d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),2)) = k7_xcmplx_0(29,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm29d36_rn29d36,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),36)) = k7_xcmplx_0(29,36) )).
fof(rqRealNeg__k4_xcmplx_0__rnm29d5_rn29d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(29),5)) = k7_xcmplx_0(29,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm2d27_rn2d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),27)) = k7_xcmplx_0(2,27) )).
fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(2,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm2d5_rn2d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),5)) = k7_xcmplx_0(2,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm2d7_rn2d7,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),7)) = k7_xcmplx_0(2,7) )).
fof(rqRealNeg__k4_xcmplx_0__rnm2d81_rn2d81,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),81)) = k7_xcmplx_0(2,81) )).
fof(rqRealNeg__k4_xcmplx_0__rnm2d9_rn2d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),9)) = k7_xcmplx_0(2,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm319d10_rn319d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(319),10)) = k7_xcmplx_0(319,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm31d12_rn31d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),12)) = k7_xcmplx_0(31,12) )).
fof(rqRealNeg__k4_xcmplx_0__rnm31d30_rn31d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),30)) = k7_xcmplx_0(31,30) )).
fof(rqRealNeg__k4_xcmplx_0__rnm31d32_rn31d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),32)) = k7_xcmplx_0(31,32) )).
fof(rqRealNeg__k4_xcmplx_0__rnm31d8_rn31d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31),8)) = k7_xcmplx_0(31,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm32d5_rn32d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(32),5)) = k7_xcmplx_0(32,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm33d4_rn33d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(33),4)) = k7_xcmplx_0(33,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm34d3_rn34d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(34),3)) = k7_xcmplx_0(34,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm35d18_rn35d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),18)) = k7_xcmplx_0(35,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm35d2_rn35d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),2)) = k7_xcmplx_0(35,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm35d3_rn35d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),3)) = k7_xcmplx_0(35,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm35d4_rn35d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),4)) = k7_xcmplx_0(35,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm35d64_rn35d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),64)) = k7_xcmplx_0(35,64) )).
fof(rqRealNeg__k4_xcmplx_0__rnm35d8_rn35d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(35),8)) = k7_xcmplx_0(35,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm36d5_rn36d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(36),5)) = k7_xcmplx_0(36,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm37d16_rn37d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(37),16)) = k7_xcmplx_0(37,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm37d18_rn37d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(37),18)) = k7_xcmplx_0(37,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm37d3_rn37d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(37),3)) = k7_xcmplx_0(37,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d10_rn3d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),10)) = k7_xcmplx_0(3,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d128_rn3d128,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),128)) = k7_xcmplx_0(3,128) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d14_rn3d14,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),14)) = k7_xcmplx_0(3,14) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d16_rn3d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),16)) = k7_xcmplx_0(3,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d256_rn3d256,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),256)) = k7_xcmplx_0(3,256) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(3,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d32_rn3d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),32)) = k7_xcmplx_0(3,32) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(3,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d5_rn3d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),5)) = k7_xcmplx_0(3,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d64_rn3d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),64)) = k7_xcmplx_0(3,64) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d7_rn3d7,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),7)) = k7_xcmplx_0(3,7) )).
fof(rqRealNeg__k4_xcmplx_0__rnm3d8_rn3d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),8)) = k7_xcmplx_0(3,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm41d6_rn41d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(41),6)) = k7_xcmplx_0(41,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm41d8_rn41d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(41),8)) = k7_xcmplx_0(41,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm45d2_rn45d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(45),2)) = k7_xcmplx_0(45,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm45d4_rn45d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(45),4)) = k7_xcmplx_0(45,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm47d4_rn47d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(47),4)) = k7_xcmplx_0(47,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm48d5_rn48d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(48),5)) = k7_xcmplx_0(48,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm49d18_rn49d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),18)) = k7_xcmplx_0(49,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm49d48_rn49d48,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),48)) = k7_xcmplx_0(49,48) )).
fof(rqRealNeg__k4_xcmplx_0__rnm49d8_rn49d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(49),8)) = k7_xcmplx_0(49,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(4,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm4d5_rn4d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),5)) = k7_xcmplx_0(4,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm4d9_rn4d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),9)) = k7_xcmplx_0(4,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm52d27_rn52d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(52),27)) = k7_xcmplx_0(52,27) )).
fof(rqRealNeg__k4_xcmplx_0__rnm53d6_rn53d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(53),6)) = k7_xcmplx_0(53,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm55d2_rn55d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55),2)) = k7_xcmplx_0(55,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm57d16_rn57d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(57),16)) = k7_xcmplx_0(57,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm58d5_rn58d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(58),5)) = k7_xcmplx_0(58,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm59d30_rn59d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(59),30)) = k7_xcmplx_0(59,30) )).
fof(rqRealNeg__k4_xcmplx_0__rnm59d60_rn59d60,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(59),60)) = k7_xcmplx_0(59,60) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d12_rn5d12,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),12)) = k7_xcmplx_0(5,12) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d16_rn5d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),16)) = k7_xcmplx_0(5,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d24_rn5d24,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),24)) = k7_xcmplx_0(5,24) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d2_rn5d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),2)) = k7_xcmplx_0(5,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d3_rn5d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),3)) = k7_xcmplx_0(5,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d48_rn5d48,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),48)) = k7_xcmplx_0(5,48) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d4_rn5d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),4)) = k7_xcmplx_0(5,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d6_rn5d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),6)) = k7_xcmplx_0(5,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm5d8_rn5d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(5),8)) = k7_xcmplx_0(5,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm61d16_rn61d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(61),16)) = k7_xcmplx_0(61,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm63d16_rn63d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(63),16)) = k7_xcmplx_0(63,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm641d25_rn641d25,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(641),25)) = k7_xcmplx_0(641,25) )).
fof(rqRealNeg__k4_xcmplx_0__rnm641d5_rn641d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(641),5)) = k7_xcmplx_0(641,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm6d5_rn6d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),5)) = k7_xcmplx_0(6,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm6d7_rn6d7,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6),7)) = k7_xcmplx_0(6,7) )).
fof(rqRealNeg__k4_xcmplx_0__rnm71d6_rn71d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(71),6)) = k7_xcmplx_0(71,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d10_rn7d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),10)) = k7_xcmplx_0(7,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d16_rn7d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),16)) = k7_xcmplx_0(7,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d18_rn7d18,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),18)) = k7_xcmplx_0(7,18) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d27_rn7d27,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),27)) = k7_xcmplx_0(7,27) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d2_rn7d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),2)) = k7_xcmplx_0(7,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d30_rn7d30,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),30)) = k7_xcmplx_0(7,30) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d3_rn7d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),3)) = k7_xcmplx_0(7,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d4_rn7d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),4)) = k7_xcmplx_0(7,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d5_rn7d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),5)) = k7_xcmplx_0(7,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d64_rn7d64,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),64)) = k7_xcmplx_0(7,64) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d6_rn7d6,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),6)) = k7_xcmplx_0(7,6) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d8_rn7d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),8)) = k7_xcmplx_0(7,8) )).
fof(rqRealNeg__k4_xcmplx_0__rnm7d9_rn7d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7),9)) = k7_xcmplx_0(7,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm81d16_rn81d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(81),16)) = k7_xcmplx_0(81,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm81d20_rn81d20,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(81),20)) = k7_xcmplx_0(81,20) )).
fof(rqRealNeg__k4_xcmplx_0__rnm81d80_rn81d80,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(81),80)) = k7_xcmplx_0(81,80) )).
fof(rqRealNeg__k4_xcmplx_0__rnm83d16_rn83d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(83),16)) = k7_xcmplx_0(83,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm85d16_rn85d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(85),16)) = k7_xcmplx_0(85,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm87d5_rn87d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(87),5)) = k7_xcmplx_0(87,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm8d3_rn8d3,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),3)) = k7_xcmplx_0(8,3) )).
fof(rqRealNeg__k4_xcmplx_0__rnm8d5_rn8d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),5)) = k7_xcmplx_0(8,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm8d9_rn8d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(8),9)) = k7_xcmplx_0(8,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm91d9_rn91d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(91),9)) = k7_xcmplx_0(91,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm98d9_rn98d9,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(98),9)) = k7_xcmplx_0(98,9) )).
fof(rqRealNeg__k4_xcmplx_0__rnm9d10_rn9d10,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),10)) = k7_xcmplx_0(9,10) )).
fof(rqRealNeg__k4_xcmplx_0__rnm9d16_rn9d16,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),16)) = k7_xcmplx_0(9,16) )).
fof(rqRealNeg__k4_xcmplx_0__rnm9d2_rn9d2,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),2)) = k7_xcmplx_0(9,2) )).
fof(rqRealNeg__k4_xcmplx_0__rnm9d32_rn9d32,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),32)) = k7_xcmplx_0(9,32) )).
fof(rqRealNeg__k4_xcmplx_0__rnm9d4_rn9d4,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),4)) = k7_xcmplx_0(9,4) )).
fof(rqRealNeg__k4_xcmplx_0__rnm9d5_rn9d5,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),5)) = k7_xcmplx_0(9,5) )).
fof(rqRealNeg__k4_xcmplx_0__rnm9d8_rn9d8,axiom,( k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(9),8)) = k7_xcmplx_0(9,8) )).
fof(rqSucc__k1_ordinal1__r0_r1,axiom,( k1_ordinal1(0) = 1 )).
fof(rqSucc__k1_ordinal1__r1_r2,axiom,( k1_ordinal1(1) = 2 )).
fof(rqSucc__k1_ordinal1__r2_r3,axiom,( k1_ordinal1(2) = 3 )).
fof(rqSucc__k1_ordinal1__r3_r4,axiom,( k1_ordinal1(3) = 4 )).
fof(rqSucc__k1_ordinal1__r4_r5,axiom,( k1_ordinal1(4) = 5 )).
fof(rqSucc__k1_ordinal1__r5_r6,axiom,( k1_ordinal1(5) = 6 )).
fof(rqSucc__k1_ordinal1__r6_r7,axiom,( k1_ordinal1(6) = 7 )).
fof(rqSucc__k1_ordinal1__r7_r8,axiom,( k1_ordinal1(7) = 8 )).
fof(rqSucc__k1_ordinal1__r8_r9,axiom,( k1_ordinal1(8) = 9 )).
fof(rqSucc__k1_ordinal1__r9_r10,axiom,( k1_ordinal1(9) = 10 )).
fof(s10_domain_1__e3_24__borsuk_6,axiom,( a_0_8_borsuk_6 = k3_xboole_0(a_0_4_borsuk_6,a_0_2_borsuk_6) )).
fof(s10_domain_1__e4_109__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_10_jgraph_4(A) = k3_xboole_0(a_1_18_jgraph_4(A),a_0_6_jgraph_4) ) )).
fof(s10_domain_1__e4_110__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_11_jgraph_4(A) = k3_xboole_0(a_1_23_jgraph_4(A),a_0_6_jgraph_4) ) )).
fof(s10_domain_1__e4_141__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_14_jgraph_4(A) = k3_xboole_0(a_1_21_jgraph_4(A),a_0_8_jgraph_4) ) )).
fof(s10_domain_1__e4_142__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_15_jgraph_4(A) = k3_xboole_0(a_1_26_jgraph_4(A),a_0_8_jgraph_4) ) )).
fof(s10_domain_1__e4_36__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_2_jgraph_4(A) = k3_xboole_0(a_1_18_jgraph_4(A),a_0_5_jgraph_4) ) )).
fof(s10_domain_1__e4_39__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_3_jgraph_4(A) = k3_xboole_0(a_1_23_jgraph_4(A),a_0_5_jgraph_4) ) )).
fof(s10_domain_1__e4_75__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_6_jgraph_4(A) = k3_xboole_0(a_1_21_jgraph_4(A),a_0_7_jgraph_4) ) )).
fof(s10_domain_1__e4_76__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => a_1_7_jgraph_4(A) = k3_xboole_0(a_1_26_jgraph_4(A),a_0_7_jgraph_4) ) )).
fof(s10_fraenkel__e1_154__finseq_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) ) => r1_tarski(a_2_4_finseq_2(A,B),k3_finseq_2(A)) ) )).
fof(s10_fraenkel__e1_34__ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => r1_tarski(a_1_23_ltlaxio4(A),k4_ltlaxio4(k10_ltlaxio3(A))) ) )).
fof(s10_fraenkel__e1_36__cqc_the1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => r1_tarski(a_2_1_cqc_the1(A,B),k3_cqc_lang(A)) ) )).
fof(s10_fraenkel__e3_13__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) ) => r1_tarski(a_3_5_heyting2(A,B,C),k4_partfun1(k1_heyting2(A,B,C),B)) ) )).
fof(s10_fraenkel__e3_245__fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => r1_tarski(a_1_16_fomodel4(A),k35_fomodel1(A)) ) )).
fof(s10_funct_2__e31_14_1_3__partit_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) ) => ( ! [C] : ( m1_subset_1(C,B) => ~ r1_xboole_0(k9_setfam_1(A),C) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(A)))) & ! [D] : ( m1_subset_1(D,B) => r2_tarski(k3_funct_2(B,k9_setfam_1(A),C,D),D) ) ) ) ) )).
fof(s10_funct_2__e5_28__hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & m2_finseq_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) ) => ( ! [D] : ( m1_subset_1(D,C) => ~ r1_xboole_0(A,k1_funct_1(B,D)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,A))) & ! [E] : ( m1_subset_1(E,C) => r2_tarski(k3_funct_2(C,A,D,E),k1_funct_1(B,E)) ) ) ) ) )).
fof(s10_funct_2__e7_91__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C)))) => ~ r1_xboole_0(u1_struct_0(A),k3_xboole_0(k8_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C),D),k9_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C),D))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C))),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C))),u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k3_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C)))) => r2_tarski(k3_funct_2(u1_struct_0(k3_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C))),u1_struct_0(A),D,E),k3_xboole_0(k8_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C),E),k9_yellow_3(k8_yellow_6(A,B),k8_yellow_6(A,C),E))) ) ) ) ) )).
fof(s10_nat_1__e10_3_2_1_7__vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v5_relat_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(D) & v3_trees_2(D) & v2_bintree1(D) & ~ v1_xboole_0(E) & v1_trees_1(E) & v1_bintree2(E) ) => ( ( ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ( r1_xxreal_0(F,k5_series_1(2,1)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( G = k1_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,1),F))) & H = k2_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,1),F))) ) => k3_metric_1(A,G,H) = k7_xcmplx_0(k3_metric_1(A,B,C),k5_series_1(2,1)) ) ) ) ) ) & ! [I] : ( ( v7_ordinal1(I) & ~ v8_ordinal1(I) ) => ( ! [J] : ( ( ~ v8_ordinal1(J) & m1_subset_1(J,k4_ordinal1) ) => ( r1_xxreal_0(J,k5_series_1(2,I)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( K = k1_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,I),J))) & L = k2_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,I),J))) ) => k3_metric_1(A,K,L) = k7_xcmplx_0(k3_metric_1(A,B,C),k5_series_1(2,I)) ) ) ) ) ) => ! [M] : ( ( ~ v8_ordinal1(M) & m1_subset_1(M,k4_ordinal1) ) => ( r1_xxreal_0(M,k5_series_1(2,k1_nat_1(I,1))) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ( ( N = k1_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,k1_nat_1(I,1)),M))) & O = k2_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,k1_nat_1(I,1)),M))) ) => k3_metric_1(A,N,O) = k7_xcmplx_0(k3_metric_1(A,B,C),k5_series_1(2,k1_nat_1(I,1))) ) ) ) ) ) ) ) ) => ! [I] : ( ( v7_ordinal1(I) & ~ v8_ordinal1(I) ) => ! [P] : ( ( ~ v8_ordinal1(P) & m1_subset_1(P,k4_ordinal1) ) => ( r1_xxreal_0(P,k5_series_1(2,I)) => ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ( ( Q = k1_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,I),P))) & R = k2_xtuple_0(k1_funct_1(D,k1_funct_1(k2_bintree2(E,I),P))) ) => k3_metric_1(A,Q,R) = k7_xcmplx_0(k3_metric_1(A,B,C),k5_series_1(2,I)) ) ) ) ) ) ) ) ) )).
fof(s10_nat_1__e10_43__neckla_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( r2_tarski(1,k4_finseq_1(B)) => r2_hidden(k4_tarski(k1_funct_1(B,1),k1_funct_1(B,1)),u1_orders_2(A)) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r2_tarski(C,k4_finseq_1(B)) => r2_hidden(k4_tarski(k1_funct_1(B,1),k1_funct_1(B,C)),u1_orders_2(A)) ) => ( r2_tarski(k1_nat_1(C,1),k4_finseq_1(B)) => r2_hidden(k4_tarski(k1_funct_1(B,1),k1_funct_1(B,k1_nat_1(C,1))),u1_orders_2(A)) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r2_tarski(C,k4_finseq_1(B)) => r2_hidden(k4_tarski(k1_funct_1(B,1),k1_funct_1(B,C)),u1_orders_2(A)) ) ) ) ) )).
fof(s10_nat_1__e10_49_1_1_1_1_2_3__fib_num4,axiom,( ( r1_xxreal_0(k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(1,1)),k6_xcmplx_0(k2_power(2,k2_xcmplx_0(1,1)),k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(1,1)))) & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_xxreal_0(k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(A,1)),k6_xcmplx_0(k2_power(2,k2_xcmplx_0(A,1)),k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(A,1)))) => r1_xxreal_0(k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(k1_nat_1(A,1),1)),k6_xcmplx_0(k2_power(2,k2_xcmplx_0(k1_nat_1(A,1),1)),k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(k1_nat_1(A,1),1)))) ) ) ) => ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => r1_xxreal_0(k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(A,1)),k6_xcmplx_0(k2_power(2,k2_xcmplx_0(A,1)),k2_power(k6_xcmplx_0(k3_square_1(5),1),k2_xcmplx_0(A,1)))) ) )).
fof(s10_nat_1__e10_55__jordan1g,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ( ~ ( r1_xxreal_0(1,1) & ~ r1_xxreal_0(k4_finseq_4(k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),k1_jordan5c(k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B))),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),1) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),1))) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k4_finseq_4(k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),k1_jordan5c(k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B))),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),C) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),C))) ) => ~ ( r1_xxreal_0(1,k1_nat_1(C,1)) & ~ r1_xxreal_0(k4_finseq_4(k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),k1_jordan5c(k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B))),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),k1_nat_1(C,1)) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),k1_nat_1(C,1)))) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k4_finseq_4(k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),k1_jordan5c(k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B))),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),C) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k4_finseq_5(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B)),C))) ) ) ) ) )).
fof(s10_nat_1__e10_62_2_1_1_1__polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m2_finseq_1(C,u1_struct_0(k13_polynom3(A))) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),1,k17_finseq_1(u1_struct_0(k13_polynom3(A)),k7_nat_d(k3_finseq_1(C),1),C))) => r1_xxreal_0(k1_algseq_1(A,D),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(1,k1_algseq_1(A,B)),k1_algseq_1(A,B)),1),2)) ) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( F = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),E,k17_finseq_1(u1_struct_0(k13_polynom3(A)),k7_nat_d(k3_finseq_1(C),1),C))) => r1_xxreal_0(k1_algseq_1(A,F),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(E,k1_algseq_1(A,B)),k1_algseq_1(A,B)),E),2)) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( G = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),k1_nat_1(E,1),k17_finseq_1(u1_struct_0(k13_polynom3(A)),k7_nat_d(k3_finseq_1(C),1),C))) => r1_xxreal_0(k1_algseq_1(A,G),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_nat_1(E,1),k1_algseq_1(A,B)),k1_algseq_1(A,B)),k1_nat_1(E,1)),2)) ) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( H = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),E,k17_finseq_1(u1_struct_0(k13_polynom3(A)),k7_nat_d(k3_finseq_1(C),1),C))) => r1_xxreal_0(k1_algseq_1(A,H),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(E,k1_algseq_1(A,B)),k1_algseq_1(A,B)),E),2)) ) ) ) ) ) )).
fof(s10_nat_1__e11_62__ltlaxio3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & v2_funct_1(B) & m2_finseq_1(B,k1_hilbert1) & m2_finseq_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(C)) => ( ( r1_xxreal_0(1,k3_finseq_1(B)) => r1_xboole_0(k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,1)),k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,1))),k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,1,B)))) ) & ~ v2_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,1)) & r1_tarski(k10_ltlaxio3(A),k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,1))) ) ) & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( ( r1_xxreal_0(D,k3_finseq_1(C)) => ( ( r1_xxreal_0(D,k3_finseq_1(B)) => r1_xboole_0(k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)),k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,D))),k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,D,B)))) ) & ~ v2_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)) & r1_tarski(k10_ltlaxio3(A),k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D))) ) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) => ( ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) => r1_xboole_0(k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,k1_nat_1(D,1))),k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,k1_nat_1(D,1)))),k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,k1_nat_1(D,1),B)))) ) & ~ v2_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,k1_nat_1(D,1))) & r1_tarski(k10_ltlaxio3(A),k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,k1_nat_1(D,1)))) ) ) ) ) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( r1_xxreal_0(D,k3_finseq_1(C)) => ( ( r1_xxreal_0(D,k3_finseq_1(B)) => r1_xboole_0(k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)),k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,D))),k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,D,B)))) ) & ~ v2_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)) & r1_tarski(k10_ltlaxio3(A),k10_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D))) ) ) ) ) ) )).
fof(s10_nat_1__e13_49_2__fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ r1_xxreal_0(k1_fib_num3(k2_xcmplx_0(A,1)),k3_xcmplx_0(k2_power(k1_fib_num,1),k1_fib_num3(A))) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ~ r1_xxreal_0(k1_fib_num3(k2_xcmplx_0(A,B)),k3_xcmplx_0(k2_power(k1_fib_num,B),k1_fib_num3(A))) => ~ r1_xxreal_0(k1_fib_num3(k2_xcmplx_0(A,k1_nat_1(B,1))),k3_xcmplx_0(k2_power(k1_fib_num,k1_nat_1(B,1)),k1_fib_num3(A))) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ~ r1_xxreal_0(k1_fib_num3(k2_xcmplx_0(A,B)),k3_xcmplx_0(k2_power(k1_fib_num,B),k1_fib_num3(A))) ) ) ) )).
fof(s10_nat_1__e17_62__polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m2_finseq_1(C,u1_struct_0(k13_polynom3(A))) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( D = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),1,C)) => r1_xxreal_0(k1_algseq_1(A,D),k1_algseq_1(A,k3_polynom5(A,B,k7_nat_d(1,1)))) ) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( F = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),E,C)) => r1_xxreal_0(k1_algseq_1(A,F),k1_algseq_1(A,k3_polynom5(A,B,k7_nat_d(E,1)))) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( G = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),k1_nat_1(E,1),C)) => r1_xxreal_0(k1_algseq_1(A,G),k1_algseq_1(A,k3_polynom5(A,B,k7_nat_d(k1_nat_1(E,1),1)))) ) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( H = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),E,C)) => r1_xxreal_0(k1_algseq_1(A,H),k1_algseq_1(A,k3_polynom5(A,B,k7_nat_d(E,1)))) ) ) ) ) ) )).
fof(s10_nat_1__e18_19__binari_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ( ( ( r2_hidden(1,k2_finseq_1(k7_nat_d(A,1))) => ( k7_partfun1(k5_margrel1,B,k2_xcmplx_0(k7_nat_d(A,1),1)) = k7_margrel1 & k7_partfun1(k5_margrel1,k4_binarith(A,B,k1_binari_2(A)),k2_xcmplx_0(k7_nat_d(A,1),1)) = k7_margrel1 ) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r2_hidden(C,k2_finseq_1(k7_nat_d(A,1))) => ( k7_partfun1(k5_margrel1,B,k2_xcmplx_0(k7_nat_d(A,C),1)) = k7_margrel1 & k7_partfun1(k5_margrel1,k4_binarith(A,B,k1_binari_2(A)),k2_xcmplx_0(k7_nat_d(A,C),1)) = k7_margrel1 ) ) => ( r2_hidden(k1_nat_1(C,1),k2_finseq_1(k7_nat_d(A,1))) => ( k7_partfun1(k5_margrel1,B,k2_xcmplx_0(k7_nat_d(A,k1_nat_1(C,1)),1)) = k7_margrel1 & k7_partfun1(k5_margrel1,k4_binarith(A,B,k1_binari_2(A)),k2_xcmplx_0(k7_nat_d(A,k1_nat_1(C,1)),1)) = k7_margrel1 ) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r2_hidden(C,k2_finseq_1(k7_nat_d(A,1))) => ( k7_partfun1(k5_margrel1,B,k2_xcmplx_0(k7_nat_d(A,C),1)) = k7_margrel1 & k7_partfun1(k5_margrel1,k4_binarith(A,B,k1_binari_2(A)),k2_xcmplx_0(k7_nat_d(A,C),1)) = k7_margrel1 ) ) ) ) ) )).
fof(s10_nat_1__e20_5__convex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,C) & m2_finseq_1(E,u1_struct_0(A)) & m2_finseq_1(F,k1_numbers) ) => ( ( r2_tarski(k1_rlvect_1(A,k4_rlvect_1(A,k3_finseq_6(u1_struct_0(A),k5_rlvect_2(A,E,D),1,1)),k7_xcmplx_0(1,k18_rvsum_1(k3_finseq_6(k1_numbers,F,1,1)))),B) & ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ( r2_tarski(k1_rlvect_1(A,k4_rlvect_1(A,k3_finseq_6(u1_struct_0(A),k5_rlvect_2(A,E,D),1,G)),k7_xcmplx_0(1,k18_rvsum_1(k3_finseq_6(k1_numbers,F,1,G)))),B) => r2_tarski(k1_rlvect_1(A,k4_rlvect_1(A,k3_finseq_6(u1_struct_0(A),k5_rlvect_2(A,E,D),1,k1_nat_1(G,1))),k7_xcmplx_0(1,k18_rvsum_1(k3_finseq_6(k1_numbers,F,1,k1_nat_1(G,1))))),B) ) ) ) => ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => r2_tarski(k1_rlvect_1(A,k4_rlvect_1(A,k3_finseq_6(u1_struct_0(A),k5_rlvect_2(A,E,D),1,G)),k7_xcmplx_0(1,k18_rvsum_1(k3_finseq_6(k1_numbers,F,1,G)))),B) ) ) ) )).
fof(s10_nat_1__e21_3_2_1__vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( ( ! [D] : ( ( v3_card_1(D,1) & m2_finseq_1(D,k5_margrel1) ) => ( D = k5_euclid(1) => k2_xtuple_0(k1_funct_1(C,k3_binarith(1,D))) = B ) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ! [F] : ( ( v3_card_1(F,E) & m2_finseq_1(F,k5_margrel1) ) => ( F = k5_euclid(E) => k2_xtuple_0(k1_funct_1(C,k3_binarith(E,F))) = B ) ) => ! [G] : ( ( v3_card_1(G,k1_nat_1(E,1)) & m2_finseq_1(G,k5_margrel1) ) => ( G = k5_euclid(k1_nat_1(E,1)) => k2_xtuple_0(k1_funct_1(C,k3_binarith(k1_nat_1(E,1),G))) = B ) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ! [H] : ( ( v3_card_1(H,E) & m2_finseq_1(H,k5_margrel1) ) => ( H = k5_euclid(E) => k2_xtuple_0(k1_funct_1(C,k3_binarith(E,H))) = B ) ) ) ) ) )).
fof(s10_nat_1__e24_62__ltlaxio3,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m2_finseq_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(B)) => r1_tarski(k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,1))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,1)))),k5_ltlaxio3(k10_ltlaxio3(A))) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => r1_tarski(k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,C))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,C)))),k5_ltlaxio3(k10_ltlaxio3(A))) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => r1_tarski(k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,k1_nat_1(C,1)))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,k1_nat_1(C,1))))),k5_ltlaxio3(k10_ltlaxio3(A))) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => r1_tarski(k4_subset_1(k1_hilbert1,k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,C))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,C)))),k5_ltlaxio3(k10_ltlaxio3(A))) ) ) ) ) )).
fof(s10_nat_1__e3_11__binari_3,axiom,( ( k6_binarith(1,k1_binari_2(1)) = 1 & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( k6_binarith(A,k1_binari_2(A)) = 1 => k6_binarith(k1_nat_1(A,1),k1_binari_2(k1_nat_1(A,1))) = 1 ) ) ) => ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k6_binarith(A,k1_binari_2(A)) = 1 ) )).
fof(s10_nat_1__e3_14__binari_2,axiom,( ( k3_binari_2(k2_xcmplx_0(1,1),k9_binarith(1,1,k5_margrel1,k1_binari_2(1),k10_binarith(k5_margrel1,k6_margrel1))) = 1 & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,k1_binari_2(A),k10_binarith(k5_margrel1,k6_margrel1))) = 1 => k3_binari_2(k2_xcmplx_0(k1_nat_1(A,1),1),k9_binarith(k1_nat_1(A,1),1,k5_margrel1,k1_binari_2(k1_nat_1(A,1)),k10_binarith(k5_margrel1,k6_margrel1))) = 1 ) ) ) => ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,k1_binari_2(A),k10_binarith(k5_margrel1,k6_margrel1))) = 1 ) )).
fof(s10_nat_1__e3_16__binarith,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) & v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) & m1_subset_1(D,k5_margrel1) & m1_subset_1(E,k5_margrel1) ) => ( ( ( r2_hidden(1,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,k4_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),1) = k7_partfun1(k5_margrel1,k4_binarith(A,B,C),1) ) & ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ( ( r2_hidden(F,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,k4_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),F) = k7_partfun1(k5_margrel1,k4_binarith(A,B,C),F) ) => ( r2_hidden(k1_nat_1(F,1),k2_finseq_1(A)) => k7_partfun1(k5_margrel1,k4_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),k1_nat_1(F,1)) = k7_partfun1(k5_margrel1,k4_binarith(A,B,C),k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ( r2_hidden(F,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,k4_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),F) = k7_partfun1(k5_margrel1,k4_binarith(A,B,C),F) ) ) ) ) )).
fof(s10_nat_1__e3_19__binari_2,axiom,( ( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => k6_binarith(1,k3_binarith(1,A)) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k6_binarith(1,A)),k5_series_1(2,1)),1) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v3_card_1(C,B) & m2_finseq_1(C,k5_margrel1) ) => k6_binarith(B,k3_binarith(B,C)) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k6_binarith(B,C)),k5_series_1(2,B)),1) ) => ! [D] : ( ( v3_card_1(D,k1_nat_1(B,1)) & m2_finseq_1(D,k5_margrel1) ) => k6_binarith(k1_nat_1(B,1),k3_binarith(k1_nat_1(B,1),D)) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k6_binarith(k1_nat_1(B,1),D)),k5_series_1(2,k1_nat_1(B,1))),1) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [E] : ( ( v3_card_1(E,B) & m2_finseq_1(E,k5_margrel1) ) => k6_binarith(B,k3_binarith(B,E)) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k6_binarith(B,E)),k5_series_1(2,B)),1) ) ) )).
fof(s10_nat_1__e3_1__binari_3,axiom,( ( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ~ r1_xxreal_0(k5_series_1(2,1),k6_binarith(1,A)) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v3_card_1(C,B) & m2_finseq_1(C,k5_margrel1) ) => ~ r1_xxreal_0(k5_series_1(2,B),k6_binarith(B,C)) ) => ! [D] : ( ( v3_card_1(D,k1_nat_1(B,1)) & m2_finseq_1(D,k5_margrel1) ) => ~ r1_xxreal_0(k5_series_1(2,k1_nat_1(B,1)),k6_binarith(k1_nat_1(B,1),D)) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [E] : ( ( v3_card_1(E,B) & m2_finseq_1(E,k5_margrel1) ) => ~ r1_xxreal_0(k5_series_1(2,B),k6_binarith(B,E)) ) ) )).
fof(s10_nat_1__e3_20__binarith,axiom,( ( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ! [B] : ( ( v3_card_1(B,1) & m2_finseq_1(B,k5_margrel1) ) => k1_nat_1(k6_binarith(1,k7_binarith(1,A,B)),k16_funcop_1(k4_ordinal1,k8_binarith(1,A,B),k6_margrel1,k5_numbers,k5_series_1(2,1))) = k1_nat_1(k6_binarith(1,A),k6_binarith(1,B)) ) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k5_margrel1) ) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k5_margrel1) ) => k1_nat_1(k6_binarith(C,k7_binarith(C,D,E)),k16_funcop_1(k4_ordinal1,k8_binarith(C,D,E),k6_margrel1,k5_numbers,k5_series_1(2,C))) = k1_nat_1(k6_binarith(C,D),k6_binarith(C,E)) ) ) => ! [F] : ( ( v3_card_1(F,k1_nat_1(C,1)) & m2_finseq_1(F,k5_margrel1) ) => ! [G] : ( ( v3_card_1(G,k1_nat_1(C,1)) & m2_finseq_1(G,k5_margrel1) ) => k1_nat_1(k6_binarith(k1_nat_1(C,1),k7_binarith(k1_nat_1(C,1),F,G)),k16_funcop_1(k4_ordinal1,k8_binarith(k1_nat_1(C,1),F,G),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(C,1)))) = k1_nat_1(k6_binarith(k1_nat_1(C,1),F),k6_binarith(k1_nat_1(C,1),G)) ) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [H] : ( ( v3_card_1(H,C) & m2_finseq_1(H,k5_margrel1) ) => ! [I] : ( ( v3_card_1(I,C) & m2_finseq_1(I,k5_margrel1) ) => k1_nat_1(k6_binarith(C,k7_binarith(C,H,I)),k16_funcop_1(k4_ordinal1,k8_binarith(C,H,I),k6_margrel1,k5_numbers,k5_series_1(2,C))) = k1_nat_1(k6_binarith(C,H),k6_binarith(C,I)) ) ) ) )).
fof(s10_nat_1__e3_21_1_2_1__fib_num4,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => r1_xxreal_0(k1_fib_num3(A),k1_fib_num3(k2_xcmplx_0(A,1))) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => r1_xxreal_0(k1_fib_num3(C),k1_fib_num3(k2_xcmplx_0(C,B))) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => r1_xxreal_0(k1_fib_num3(D),k1_fib_num3(k2_xcmplx_0(D,k1_nat_1(B,1)))) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => r1_xxreal_0(k1_fib_num3(E),k1_fib_num3(k2_xcmplx_0(E,B))) ) ) )).
fof(s10_nat_1__e3_22__binari_2,axiom,( ( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ! [B] : ( m1_subset_1(B,k5_margrel1) => k2_binari_2(k2_xcmplx_0(1,1),k2_binari_2(k2_xcmplx_0(1,1),k9_binarith(1,1,k5_margrel1,A,k10_binarith(k5_margrel1,B)))) = k9_binarith(1,1,k5_margrel1,A,k10_binarith(k5_margrel1,B)) ) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k5_margrel1) ) => ! [E] : ( m1_subset_1(E,k5_margrel1) => k2_binari_2(k2_xcmplx_0(C,1),k2_binari_2(k2_xcmplx_0(C,1),k9_binarith(C,1,k5_margrel1,D,k10_binarith(k5_margrel1,E)))) = k9_binarith(C,1,k5_margrel1,D,k10_binarith(k5_margrel1,E)) ) ) => ! [F] : ( ( v3_card_1(F,k1_nat_1(C,1)) & m2_finseq_1(F,k5_margrel1) ) => ! [G] : ( m1_subset_1(G,k5_margrel1) => k2_binari_2(k2_xcmplx_0(k1_nat_1(C,1),1),k2_binari_2(k2_xcmplx_0(k1_nat_1(C,1),1),k9_binarith(k1_nat_1(C,1),1,k5_margrel1,F,k10_binarith(k5_margrel1,G)))) = k9_binarith(k1_nat_1(C,1),1,k5_margrel1,F,k10_binarith(k5_margrel1,G)) ) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [H] : ( ( v3_card_1(H,C) & m2_finseq_1(H,k5_margrel1) ) => ! [I] : ( m1_subset_1(I,k5_margrel1) => k2_binari_2(k2_xcmplx_0(C,1),k2_binari_2(k2_xcmplx_0(C,1),k9_binarith(C,1,k5_margrel1,H,k10_binarith(k5_margrel1,I)))) = k9_binarith(C,1,k5_margrel1,H,k10_binarith(k5_margrel1,I)) ) ) ) )).
fof(s10_nat_1__e3_28__mesfunc7,axiom,( ( k4_mesfunc7(k1_supinf_1,1) = k1_supinf_1 & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( k4_mesfunc7(k1_supinf_1,A) = k1_supinf_1 => k4_mesfunc7(k1_supinf_1,k1_nat_1(A,1)) = k1_supinf_1 ) ) ) => ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k4_mesfunc7(k1_supinf_1,A) = k1_supinf_1 ) )).
fof(s10_nat_1__e3_2__binari_3,axiom,( ( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ! [B] : ( ( v3_card_1(B,1) & m2_finseq_1(B,k5_margrel1) ) => ( k6_binarith(1,A) = k6_binarith(1,B) => A = B ) ) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k5_margrel1) ) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k5_margrel1) ) => ( k6_binarith(C,D) = k6_binarith(C,E) => D = E ) ) ) => ! [F] : ( ( v3_card_1(F,k1_nat_1(C,1)) & m2_finseq_1(F,k5_margrel1) ) => ! [G] : ( ( v3_card_1(G,k1_nat_1(C,1)) & m2_finseq_1(G,k5_margrel1) ) => ( k6_binarith(k1_nat_1(C,1),F) = k6_binarith(k1_nat_1(C,1),G) => F = G ) ) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [H] : ( ( v3_card_1(H,C) & m2_finseq_1(H,k5_margrel1) ) => ! [I] : ( ( v3_card_1(I,C) & m2_finseq_1(I,k5_margrel1) ) => ( k6_binarith(C,H) = k6_binarith(C,I) => H = I ) ) ) ) )).
fof(s10_nat_1__e3_36__binari_3,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k5_series_1(2,1),k2_xcmplx_0(A,1)) => k1_binari_3(1,k2_xcmplx_0(A,1)) = k7_binarith(1,k1_binari_3(1,A),k1_binari_2(1)) ) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k5_series_1(2,B),k2_xcmplx_0(C,1)) => k1_binari_3(B,k2_xcmplx_0(C,1)) = k7_binarith(B,k1_binari_3(B,C),k1_binari_2(B)) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k5_series_1(2,k1_nat_1(B,1)),k2_xcmplx_0(D,1)) => k1_binari_3(k1_nat_1(B,1),k2_xcmplx_0(D,1)) = k7_binarith(k1_nat_1(B,1),k1_binari_3(k1_nat_1(B,1),D),k1_binari_2(k1_nat_1(B,1))) ) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k5_series_1(2,B),k2_xcmplx_0(E,1)) => k1_binari_3(B,k2_xcmplx_0(E,1)) = k7_binarith(B,k1_binari_3(B,E),k1_binari_2(B)) ) ) ) )).
fof(s10_nat_1__e3_59_1__integra1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & m1_integra1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( ( r2_tarski(1,k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,1),k4_integra1(A,D,C))),k18_rvsum_1(k17_finseq_1(k1_numbers,1,k4_integra1(A,D,B)))) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ( r2_tarski(E,k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,E),k4_integra1(A,D,C))),k18_rvsum_1(k17_finseq_1(k1_numbers,E,k4_integra1(A,D,B)))) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,k1_nat_1(E,1)),k4_integra1(A,D,C))),k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(E,1),k4_integra1(A,D,B)))) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( r2_tarski(E,k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,E),k4_integra1(A,D,C))),k18_rvsum_1(k17_finseq_1(k1_numbers,E,k4_integra1(A,D,B)))) ) ) ) ) )).
fof(s10_nat_1__e3_60_1__integra1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & m1_integra1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( ( r2_tarski(1,k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,1,k5_integra1(A,D,B))),k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,1),k5_integra1(A,D,C)))) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ( r2_tarski(E,k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,E,k5_integra1(A,D,B))),k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,E),k5_integra1(A,D,C)))) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(E,1),k5_integra1(A,D,B))),k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,k1_nat_1(E,1)),k5_integra1(A,D,C)))) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( r2_tarski(E,k4_finseq_1(B)) => r1_xxreal_0(k18_rvsum_1(k17_finseq_1(k1_numbers,E,k5_integra1(A,D,B))),k18_rvsum_1(k17_finseq_1(k1_numbers,k13_integra1(A,B,C,E),k5_integra1(A,D,C)))) ) ) ) ) )).
fof(s10_nat_1__e3_60__dickson,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k5_card_1(1)) & v1_funct_1(A) & v1_partfun1(A,k5_card_1(1)) & v1_yellow_1(A) ) => ( ! [B] : ( m2_subset_1(B,k4_ordinal1,k5_card_1(1)) => ( v4_dickson(k3_waybel_3(k5_card_1(1),A,B)) & v3_dickson(k3_waybel_3(k5_card_1(1),A,B)) ) ) => ( v3_dickson(k4_yellow_1(k5_card_1(1),A)) & v4_dickson(k4_yellow_1(k5_card_1(1),A)) ) ) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k5_card_1(C)) & v1_funct_1(D) & v1_partfun1(D,k5_card_1(C)) & v1_yellow_1(D) ) => ( ! [E] : ( m2_subset_1(E,k4_ordinal1,k5_card_1(C)) => ( v4_dickson(k3_waybel_3(k5_card_1(C),D,E)) & v3_dickson(k3_waybel_3(k5_card_1(C),D,E)) ) ) => ( v3_dickson(k4_yellow_1(k5_card_1(C),D)) & v4_dickson(k4_yellow_1(k5_card_1(C),D)) ) ) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k5_card_1(k1_nat_1(C,1))) & v1_funct_1(F) & v1_partfun1(F,k5_card_1(k1_nat_1(C,1))) & v1_yellow_1(F) ) => ( ! [G] : ( m2_subset_1(G,k4_ordinal1,k5_card_1(k1_nat_1(C,1))) => ( v4_dickson(k3_waybel_3(k5_card_1(k1_nat_1(C,1)),F,G)) & v3_dickson(k3_waybel_3(k5_card_1(k1_nat_1(C,1)),F,G)) ) ) => ( v3_dickson(k4_yellow_1(k5_card_1(k1_nat_1(C,1)),F)) & v4_dickson(k4_yellow_1(k5_card_1(k1_nat_1(C,1)),F)) ) ) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k5_card_1(C)) & v1_funct_1(H) & v1_partfun1(H,k5_card_1(C)) & v1_yellow_1(H) ) => ( ! [I] : ( m2_subset_1(I,k4_ordinal1,k5_card_1(C)) => ( v4_dickson(k3_waybel_3(k5_card_1(C),H,I)) & v3_dickson(k3_waybel_3(k5_card_1(C),H,I)) ) ) => ( v3_dickson(k4_yellow_1(k5_card_1(C),H)) & v4_dickson(k4_yellow_1(k5_card_1(C),H)) ) ) ) ) )).
fof(s10_nat_1__e3_6__binari_3,axiom,( ( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ( A = k5_euclid(1) => k6_binarith(1,A) = k5_numbers ) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v3_card_1(C,B) & m2_finseq_1(C,k5_margrel1) ) => ( C = k5_euclid(B) => k6_binarith(B,C) = k5_numbers ) ) => ! [D] : ( ( v3_card_1(D,k1_nat_1(B,1)) & m2_finseq_1(D,k5_margrel1) ) => ( D = k5_euclid(k1_nat_1(B,1)) => k6_binarith(k1_nat_1(B,1),D) = k5_numbers ) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [E] : ( ( v3_card_1(E,B) & m2_finseq_1(E,k5_margrel1) ) => ( E = k5_euclid(B) => k6_binarith(B,E) = k5_numbers ) ) ) )).
fof(s10_nat_1__e4_18__extreal1,axiom,( ( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k6_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(1),k2_finseq_1(1)) & v3_funct_2(C,k2_finseq_1(1),k2_finseq_1(1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(1),k2_finseq_1(1)))) ) => ( ( k3_finseq_1(A) = 1 & B = k1_partfun1(k2_finseq_1(1),k2_finseq_1(1),k4_ordinal1,k6_numbers,C,A) ) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) | k4_extreal1(A) = k4_extreal1(B) ) ) ) ) ) & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( ! [E] : ( m2_finseq_1(E,k6_numbers) => ! [F] : ( m2_finseq_1(F,k6_numbers) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(D),k2_finseq_1(D)) & v3_funct_2(G,k2_finseq_1(D),k2_finseq_1(D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(D),k2_finseq_1(D)))) ) => ( ( k3_finseq_1(E) = D & F = k1_partfun1(k2_finseq_1(D),k2_finseq_1(D),k4_ordinal1,k6_numbers,G,E) ) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,E)) | k4_extreal1(E) = k4_extreal1(F) ) ) ) ) ) => ! [H] : ( m2_finseq_1(H,k6_numbers) => ! [I] : ( m2_finseq_1(I,k6_numbers) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k2_finseq_1(k1_nat_1(D,1)),k2_finseq_1(k1_nat_1(D,1))) & v3_funct_2(J,k2_finseq_1(k1_nat_1(D,1)),k2_finseq_1(k1_nat_1(D,1))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(D,1)),k2_finseq_1(k1_nat_1(D,1))))) ) => ( ( k3_finseq_1(H) = k1_nat_1(D,1) & I = k1_partfun1(k2_finseq_1(k1_nat_1(D,1)),k2_finseq_1(k1_nat_1(D,1)),k4_ordinal1,k6_numbers,J,H) ) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,H)) | k4_extreal1(H) = k4_extreal1(I) ) ) ) ) ) ) ) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ! [K] : ( m2_finseq_1(K,k6_numbers) => ! [L] : ( m2_finseq_1(L,k6_numbers) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k2_finseq_1(D),k2_finseq_1(D)) & v3_funct_2(M,k2_finseq_1(D),k2_finseq_1(D)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(D),k2_finseq_1(D)))) ) => ( ( k3_finseq_1(K) = D & L = k1_partfun1(k2_finseq_1(D),k2_finseq_1(D),k4_ordinal1,k6_numbers,M,K) ) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,K)) | k4_extreal1(K) = k4_extreal1(L) ) ) ) ) ) ) )).
fof(s10_nat_1__e4_20__catalan1,axiom,( ( ~ r1_xxreal_0(k1_catalan1(1),k5_numbers) & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ r1_xxreal_0(k1_catalan1(A),k5_numbers) => ~ r1_xxreal_0(k1_catalan1(k1_nat_1(A,1)),k5_numbers) ) ) ) => ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ r1_xxreal_0(k1_catalan1(A),k5_numbers) ) )).
fof(s10_nat_1__e4_21_1__nat_6,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v7_ordinal1(B) & v1_int_2(B) ) => ( ( ( r1_nat_d(A,k1_newton(B,1)) => A = B ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r1_nat_d(A,k1_newton(B,C)) => A = B ) => ( r1_nat_d(A,k1_newton(B,k1_nat_1(C,1))) => A = B ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_nat_d(A,k1_newton(B,C)) => A = B ) ) ) ) )).
fof(s10_nat_1__e4_30_1__convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( ( k3_finseq_1(C) = 1 & k3_finseq_1(D) = 1 & k3_finseq_1(E) = 1 & k18_rvsum_1(C) = 1 & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(1)) => ( ~ r1_xxreal_0(k12_supinf_2(C,F),k5_numbers) & k1_funct_1(E,F) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),D,F),k12_supinf_2(C,F)) & r2_tarski(k7_partfun1(u1_struct_0(A),D,F),B) ) ) ) ) => r2_tarski(k4_rlvect_1(A,E),B) ) ) ) ) & ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ( ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(H) = G & k3_finseq_1(I) = G & k3_finseq_1(J) = G & k18_rvsum_1(H) = 1 & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k2_finseq_1(G)) => ( ~ r1_xxreal_0(k12_supinf_2(H,K),k5_numbers) & k1_funct_1(J,K) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),I,K),k12_supinf_2(H,K)) & r2_tarski(k7_partfun1(u1_struct_0(A),I,K),B) ) ) ) ) => r2_tarski(k4_rlvect_1(A,J),B) ) ) ) ) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ! [N] : ( m2_finseq_1(N,u1_struct_0(A)) => ( ( k3_finseq_1(L) = k1_nat_1(G,1) & k3_finseq_1(M) = k1_nat_1(G,1) & k3_finseq_1(N) = k1_nat_1(G,1) & k18_rvsum_1(L) = 1 & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k2_finseq_1(k1_nat_1(G,1))) => ( ~ r1_xxreal_0(k12_supinf_2(L,O),k5_numbers) & k1_funct_1(N,O) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),M,O),k12_supinf_2(L,O)) & r2_tarski(k7_partfun1(u1_struct_0(A),M,O),B) ) ) ) ) => r2_tarski(k4_rlvect_1(A,N),B) ) ) ) ) ) ) ) => ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ! [P] : ( m2_finseq_1(P,k1_numbers) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) => ! [R] : ( m2_finseq_1(R,u1_struct_0(A)) => ( ( k3_finseq_1(P) = G & k3_finseq_1(Q) = G & k3_finseq_1(R) = G & k18_rvsum_1(P) = 1 & ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k2_finseq_1(G)) => ( ~ r1_xxreal_0(k12_supinf_2(P,S),k5_numbers) & k1_funct_1(R,S) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),Q,S),k12_supinf_2(P,S)) & r2_tarski(k7_partfun1(u1_struct_0(A),Q,S),B) ) ) ) ) => r2_tarski(k4_rlvect_1(A,R),B) ) ) ) ) ) ) ) )).
fof(s10_nat_1__e4_57_1__fib_num2,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(k1_pre_ff(k2_xcmplx_0(A,1)),k1_pre_ff(A)) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ~ r1_xxreal_0(k1_pre_ff(k2_xcmplx_0(A,B)),k1_pre_ff(A)) => ~ r1_xxreal_0(k1_pre_ff(k2_xcmplx_0(A,k1_nat_1(B,1))),k1_pre_ff(A)) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ~ r1_xxreal_0(k1_pre_ff(k2_xcmplx_0(A,B)),k1_pre_ff(A)) ) ) ) )).
fof(s10_nat_1__e4_64_1_2__ltlaxio2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m2_finseq_1(B,k1_hilbert1) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(A,k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),1))) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(A,k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),C))) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(A,k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k1_nat_1(C,1)))) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(A,k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),C))) ) ) ) ) )).
fof(s10_nat_1__e4_64__complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( ( k1_binop_1(k4_group_1(k1_complfld),A,1) = k1_newton(A,1) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( k1_binop_1(k4_group_1(k1_complfld),A,B) = k1_newton(A,B) => k1_binop_1(k4_group_1(k1_complfld),A,k1_nat_1(B,1)) = k1_newton(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k1_binop_1(k4_group_1(k1_complfld),A,B) = k1_newton(A,B) ) ) ) )).
fof(s10_nat_1__e5_16_2__convex3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m2_rlvect_2(C,A,B) => ( ( k4_card_1(k3_rlvect_2(A,C)) = 1 & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k3_rlvect_2(A,C)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,C,D),k5_numbers) ) ) ) => ( ! [D] : ( m2_rlvect_2(D,A,B) => ! [E] : ( m2_rlvect_2(E,A,B) => ~ ( k6_rlvect_2(A,C) = k3_rlvect_1(A,k6_rlvect_2(A,D),k6_rlvect_2(A,E)) & k4_card_1(k3_rlvect_2(A,D)) = 1 & k4_card_1(k3_rlvect_2(A,E)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,C)),1) & r1_tarski(k3_rlvect_2(A,D),k3_rlvect_2(A,C)) & r1_tarski(k3_rlvect_2(A,E),k3_rlvect_2(A,C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k3_rlvect_2(A,D)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,F) = k3_funct_2(u1_struct_0(A),k1_numbers,C,F) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k3_rlvect_2(A,E)) => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,C,F) ) ) ) ) ) | r2_tarski(k6_rlvect_2(A,C),B) ) ) ) & ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ( ! [H] : ( m2_rlvect_2(H,A,B) => ( ( k4_card_1(k3_rlvect_2(A,H)) = G & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r2_tarski(I,k3_rlvect_2(A,H)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,H,I),k5_numbers) ) ) ) => ( ! [I] : ( m2_rlvect_2(I,A,B) => ! [J] : ( m2_rlvect_2(J,A,B) => ~ ( k6_rlvect_2(A,H) = k3_rlvect_1(A,k6_rlvect_2(A,I),k6_rlvect_2(A,J)) & k4_card_1(k3_rlvect_2(A,I)) = 1 & k4_card_1(k3_rlvect_2(A,J)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,H)),1) & r1_tarski(k3_rlvect_2(A,I),k3_rlvect_2(A,H)) & r1_tarski(k3_rlvect_2(A,J),k3_rlvect_2(A,H)) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(K,k3_rlvect_2(A,I)) => k3_funct_2(u1_struct_0(A),k1_numbers,I,K) = k3_funct_2(u1_struct_0(A),k1_numbers,H,K) ) ) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(K,k3_rlvect_2(A,J)) => k3_funct_2(u1_struct_0(A),k1_numbers,J,K) = k3_funct_2(u1_struct_0(A),k1_numbers,H,K) ) ) ) ) ) | r2_tarski(k6_rlvect_2(A,H),B) ) ) ) => ! [L] : ( m2_rlvect_2(L,A,B) => ( ( k4_card_1(k3_rlvect_2(A,L)) = k1_nat_1(G,1) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ~ ( r2_tarski(M,k3_rlvect_2(A,L)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,L,M),k5_numbers) ) ) ) => ( ! [M] : ( m2_rlvect_2(M,A,B) => ! [N] : ( m2_rlvect_2(N,A,B) => ~ ( k6_rlvect_2(A,L) = k3_rlvect_1(A,k6_rlvect_2(A,M),k6_rlvect_2(A,N)) & k4_card_1(k3_rlvect_2(A,M)) = 1 & k4_card_1(k3_rlvect_2(A,N)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,L)),1) & r1_tarski(k3_rlvect_2(A,M),k3_rlvect_2(A,L)) & r1_tarski(k3_rlvect_2(A,N),k3_rlvect_2(A,L)) & ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ( r2_tarski(O,k3_rlvect_2(A,M)) => k3_funct_2(u1_struct_0(A),k1_numbers,M,O) = k3_funct_2(u1_struct_0(A),k1_numbers,L,O) ) ) & ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ( r2_tarski(O,k3_rlvect_2(A,N)) => k3_funct_2(u1_struct_0(A),k1_numbers,N,O) = k3_funct_2(u1_struct_0(A),k1_numbers,L,O) ) ) ) ) ) | r2_tarski(k6_rlvect_2(A,L),B) ) ) ) ) ) ) => ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ! [P] : ( m2_rlvect_2(P,A,B) => ( ( k4_card_1(k3_rlvect_2(A,P)) = G & ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ~ ( r2_tarski(Q,k3_rlvect_2(A,P)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,P,Q),k5_numbers) ) ) ) => ( ! [Q] : ( m2_rlvect_2(Q,A,B) => ! [R] : ( m2_rlvect_2(R,A,B) => ~ ( k6_rlvect_2(A,P) = k3_rlvect_1(A,k6_rlvect_2(A,Q),k6_rlvect_2(A,R)) & k4_card_1(k3_rlvect_2(A,Q)) = 1 & k4_card_1(k3_rlvect_2(A,R)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,P)),1) & r1_tarski(k3_rlvect_2(A,Q),k3_rlvect_2(A,P)) & r1_tarski(k3_rlvect_2(A,R),k3_rlvect_2(A,P)) & ! [S] : ( m1_subset_1(S,u1_struct_0(A)) => ( r2_tarski(S,k3_rlvect_2(A,Q)) => k3_funct_2(u1_struct_0(A),k1_numbers,Q,S) = k3_funct_2(u1_struct_0(A),k1_numbers,P,S) ) ) & ! [S] : ( m1_subset_1(S,u1_struct_0(A)) => ( r2_tarski(S,k3_rlvect_2(A,R)) => k3_funct_2(u1_struct_0(A),k1_numbers,R,S) = k3_funct_2(u1_struct_0(A),k1_numbers,P,S) ) ) ) ) ) | r2_tarski(k6_rlvect_2(A,P),B) ) ) ) ) ) ) )).
fof(s10_nat_1__e5_17__binari_4,axiom,( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k5_series_1(2,k7_nat_d(1,1)),1)) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2,k7_nat_d(1,1))),k5_numbers) & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k5_series_1(2,k7_nat_d(A,1)),1)) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2,k7_nat_d(A,1))),k5_numbers) ) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k5_series_1(2,k7_nat_d(k1_nat_1(A,1),1)),1)) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2,k7_nat_d(k1_nat_1(A,1),1))),k5_numbers) ) ) ) ) => ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k5_series_1(2,k7_nat_d(A,1)),1)) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2,k7_nat_d(A,1))),k5_numbers) ) ) )).
fof(s10_nat_1__e5_65_1_2__ltlaxio2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m2_finseq_1(B,k1_hilbert1) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),1)),A)) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),C)),A)) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),k1_nat_1(C,1))),A)) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),C)),A)) ) ) ) ) )).
fof(s10_nat_1__e5_68_1_2__ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ( ( ( r1_xxreal_0(1,k3_finseq_1(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k5_ltlaxio2(A)),1),k2_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),1)))) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ( r1_xxreal_0(B,k3_finseq_1(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k5_ltlaxio2(A)),B),k2_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),B)))) ) => ( r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k5_ltlaxio2(A)),k1_nat_1(B,1)),k2_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),k1_nat_1(B,1))))) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r1_xxreal_0(B,k3_finseq_1(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k5_ltlaxio2(A)),B),k2_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),B)))) ) ) ) ) )).
fof(s10_nat_1__e6_19_1__fsm_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( ( k1_funct_1(C,1) = k1_funct_1(D,1) & r1_xxreal_0(1,k1_nat_1(k3_finseq_1(C),1)) & r1_xxreal_0(1,k1_nat_1(k3_finseq_1(D),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),C),1) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),D),1) ) ) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( m2_finseq_1(G,A) => ( ( k1_funct_1(F,1) = k1_funct_1(G,1) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(F),1)) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(G),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),F),E) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),G),E) ) ) ) => ! [H] : ( m2_finseq_1(H,A) => ! [I] : ( m2_finseq_1(I,A) => ( ( k1_funct_1(H,1) = k1_funct_1(I,1) & r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(k3_finseq_1(H),1)) & r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(k3_finseq_1(I),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),H),k1_nat_1(E,1)) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),I),k1_nat_1(E,1)) ) ) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ! [J] : ( m2_finseq_1(J,A) => ! [K] : ( m2_finseq_1(K,A) => ( ( k1_funct_1(J,1) = k1_funct_1(K,1) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(J),1)) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(K),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),J),E) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),K),E) ) ) ) ) ) ) )).
fof(s10_nat_1__e6_20_2__fsm_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( ( k1_funct_1(C,1) = k1_funct_1(D,1) & r1_xxreal_0(1,k1_nat_1(k3_finseq_1(C),1)) & r1_xxreal_0(1,k1_nat_1(k3_finseq_1(D),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),C),1) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),D),1) ) ) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( m2_finseq_1(G,A) => ( ( k1_funct_1(F,1) = k1_funct_1(G,1) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(F),1)) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(G),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),F),E) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),G),E) ) ) ) => ! [H] : ( m2_finseq_1(H,A) => ! [I] : ( m2_finseq_1(I,A) => ( ( k1_funct_1(H,1) = k1_funct_1(I,1) & r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(k3_finseq_1(H),1)) & r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(k3_finseq_1(I),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),H),k1_nat_1(E,1)) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),I),k1_nat_1(E,1)) ) ) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ! [J] : ( m2_finseq_1(J,A) => ! [K] : ( m2_finseq_1(K,A) => ( ( k1_funct_1(J,1) = k1_funct_1(K,1) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(J),1)) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(K),1)) ) => k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),J),E) = k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),K),E) ) ) ) ) ) ) )).
fof(s10_nat_1__e6_34_5_1_2__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m2_finseq_1(B,k1_hilbert1) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k12_ltlaxio3(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),1))) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r1_xxreal_0(C,k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k12_ltlaxio3(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),C))) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k12_ltlaxio3(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),k1_nat_1(C,1)))) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_xxreal_0(C,k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k12_ltlaxio3(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),C))) ) ) ) ) )).
fof(s10_nat_1__e6_79__abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_abcmiz_0(A)) & m2_finseq_1(D,u1_abcmiz_0(A)) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(k7_abcmiz_0(A,B,D))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E = k1_funct_1(k7_abcmiz_0(A,B,D),1) => r3_orders_2(A,k8_abcmiz_0(A,B,C),E) ) ) ) & ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ( ( r1_xxreal_0(F,k3_finseq_1(k7_abcmiz_0(A,B,D))) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( G = k1_funct_1(k7_abcmiz_0(A,B,D),F) => r3_orders_2(A,k8_abcmiz_0(A,B,C),G) ) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(k7_abcmiz_0(A,B,D))) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( H = k1_funct_1(k7_abcmiz_0(A,B,D),k1_nat_1(F,1)) => r3_orders_2(A,k8_abcmiz_0(A,B,C),H) ) ) ) ) ) ) => ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ( r1_xxreal_0(F,k3_finseq_1(k7_abcmiz_0(A,B,D))) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( I = k1_funct_1(k7_abcmiz_0(A,B,D),F) => r3_orders_2(A,k8_abcmiz_0(A,B,C),I) ) ) ) ) ) ) )).
fof(s10_nat_1__e7_34_2_1_1_1__integra3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) & m1_integra1(D,A) & m1_integra1(E,A) ) => ( ( ~ ( r2_tarski(1,k4_finseq_1(C)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,1),k2_integra1(A,D,F)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k5_integra1(A,B,E)),k13_integra1(A,D,E,F)),k1_funct_1(k14_integra1(k5_integra1(A,B,D)),F)),k3_xcmplx_0(k3_xcmplx_0(1,k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) & ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ( ~ ( r2_tarski(G,k4_finseq_1(C)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,G),k2_integra1(A,D,H)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k5_integra1(A,B,E)),k13_integra1(A,D,E,H)),k1_funct_1(k14_integra1(k5_integra1(A,B,D)),H)),k3_xcmplx_0(k3_xcmplx_0(G,k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) => ~ ( r2_tarski(k1_nat_1(G,1),k4_finseq_1(C)) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,k1_nat_1(G,1)),k2_integra1(A,D,I)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k5_integra1(A,B,E)),k13_integra1(A,D,E,I)),k1_funct_1(k14_integra1(k5_integra1(A,B,D)),I)),k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(G,1),k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) ) ) ) => ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ~ ( r2_tarski(G,k4_finseq_1(C)) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r2_tarski(J,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,G),k2_integra1(A,D,J)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k5_integra1(A,B,E)),k13_integra1(A,D,E,J)),k1_funct_1(k14_integra1(k5_integra1(A,B,D)),J)),k3_xcmplx_0(k3_xcmplx_0(G,k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) ) ) ) )).
fof(s10_nat_1__e7_35_2_1_1_1__integra3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) & m1_integra1(D,A) & m1_integra1(E,A) ) => ( ( ~ ( r2_tarski(1,k4_finseq_1(C)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,1),k2_integra1(A,D,F)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k4_integra1(A,B,D)),F),k1_funct_1(k14_integra1(k4_integra1(A,B,E)),k13_integra1(A,D,E,F))),k3_xcmplx_0(k3_xcmplx_0(1,k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) & ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ( ~ ( r2_tarski(G,k4_finseq_1(C)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,G),k2_integra1(A,D,H)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k4_integra1(A,B,D)),H),k1_funct_1(k14_integra1(k4_integra1(A,B,E)),k13_integra1(A,D,E,H))),k3_xcmplx_0(k3_xcmplx_0(G,k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) => ~ ( r2_tarski(k1_nat_1(G,1),k4_finseq_1(C)) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,k1_nat_1(G,1)),k2_integra1(A,D,I)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k4_integra1(A,B,D)),I),k1_funct_1(k14_integra1(k4_integra1(A,B,E)),k13_integra1(A,D,E,I))),k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(G,1),k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) ) ) ) => ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ~ ( r2_tarski(G,k4_finseq_1(C)) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r2_tarski(J,k4_finseq_1(D)) & r2_tarski(k1_funct_1(C,G),k2_integra1(A,D,J)) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k14_integra1(k4_integra1(A,B,D)),J),k1_funct_1(k14_integra1(k4_integra1(A,B,E)),k13_integra1(A,D,E,J))),k3_xcmplx_0(k3_xcmplx_0(G,k6_xcmplx_0(k2_seq_4(k1_rvsum_1(B)),k3_seq_4(k1_rvsum_1(B)))),k1_integra3(A,D))) ) ) ) ) ) ) )).
fof(s10_nat_1__e7_54__jordan1g,axiom,( ! [A] : ! [B] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ( ~ ( r1_xxreal_0(1,1) & ~ r1_xxreal_0(k4_finseq_4(k1_jordan1e(A,B),k1_jordan5c(k3_topreal1(2,k1_jordan1e(A,B)),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),1) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan1e(A,B),1))) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k4_finseq_4(k1_jordan1e(A,B),k1_jordan5c(k3_topreal1(2,k1_jordan1e(A,B)),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),C) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan1e(A,B),C))) ) => ~ ( r1_xxreal_0(1,k1_nat_1(C,1)) & ~ r1_xxreal_0(k4_finseq_4(k1_jordan1e(A,B),k1_jordan5c(k3_topreal1(2,k1_jordan1e(A,B)),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),k1_nat_1(C,1)) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan1e(A,B),k1_nat_1(C,1)))) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k4_finseq_4(k1_jordan1e(A,B),k1_jordan5c(k3_topreal1(2,k1_jordan1e(A,B)),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2)),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),C) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan1e(A,B),C))) ) ) ) ) )).
fof(s10_nat_1__e7_62__lfuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ( r1_fuzzy_1(k4_lfuzzy_1(A,B,1),B) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_fuzzy_1(k4_lfuzzy_1(A,B,C),B) => r1_fuzzy_1(k4_lfuzzy_1(A,B,k1_nat_1(C,1)),B) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => r1_fuzzy_1(k4_lfuzzy_1(A,B,C),B) ) ) ) )).
fof(s10_nat_1__e7_78_1__glib_002,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v3_glib_002(A) ) => ( k15_glib_000(A) = 1 => 1 = k1_nat_1(k17_glib_000(A),1) ) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_finset_1(C) & v1_glib_000(C) & v2_glib_000(C) & v3_glib_002(C) ) => ( k15_glib_000(C) = B => B = k1_nat_1(k17_glib_000(C),1) ) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_finset_1(D) & v1_glib_000(D) & v2_glib_000(D) & v3_glib_002(D) ) => ( k15_glib_000(D) = k1_nat_1(B,1) => k1_nat_1(B,1) = k1_nat_1(k17_glib_000(D),1) ) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_finset_1(E) & v1_glib_000(E) & v2_glib_000(E) & v3_glib_002(E) ) => ( k15_glib_000(E) = B => B = k1_nat_1(k17_glib_000(E),1) ) ) ) )).
fof(s10_nat_1__e8_27__polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( ( r1_xxreal_0(1,k1_nat_1(A,1)) => k1_funct_1(k6_polynom3(2,A),1) = k2_polynom3(k4_ordinal1,k7_nat_d(1,1),k7_nat_d(k1_nat_1(A,1),1)) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ( r1_xxreal_0(B,k1_nat_1(A,1)) => k1_funct_1(k6_polynom3(2,A),B) = k2_polynom3(k4_ordinal1,k7_nat_d(B,1),k7_nat_d(k1_nat_1(A,1),B)) ) => ( r1_xxreal_0(k1_nat_1(B,1),k1_nat_1(A,1)) => k1_funct_1(k6_polynom3(2,A),k1_nat_1(B,1)) = k2_polynom3(k4_ordinal1,k7_nat_d(k1_nat_1(B,1),1),k7_nat_d(k1_nat_1(A,1),k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r1_xxreal_0(B,k1_nat_1(A,1)) => k1_funct_1(k6_polynom3(2,A),B) = k2_polynom3(k4_ordinal1,k7_nat_d(B,1),k7_nat_d(k1_nat_1(A,1),B)) ) ) ) ) )).
fof(s10_nat_1__e8_3_2_1_7_1_1_1__vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(B) & v3_trees_2(B) & v2_bintree1(B) & ~ v1_xboole_0(C) & v1_trees_1(C) & v1_bintree2(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k5_series_1(2,1),1)) ) => k1_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,1),k1_nat_1(D,1)))) = k2_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,1),D))) ) ) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k6_xcmplx_0(k5_series_1(2,E),1)) ) => k1_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,E),k1_nat_1(F,1)))) = k2_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,E),F))) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k6_xcmplx_0(k5_series_1(2,k1_nat_1(E,1)),1)) ) => k1_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,k1_nat_1(E,1)),k1_nat_1(G,1)))) = k2_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,k1_nat_1(E,1)),G))) ) ) ) ) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k6_xcmplx_0(k5_series_1(2,E),1)) ) => k1_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,E),k1_nat_1(H,1)))) = k2_xtuple_0(k1_funct_1(B,k1_funct_1(k2_bintree2(C,E),H))) ) ) ) ) ) )).
fof(s10_nat_1__e8_44__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ( ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k6_glib_000(A))) => ( ( k4_card_1(k6_subset_1(k6_glib_000(A),E)) = 1 & r2_tarski(C,E) ) => ( r2_tarski(D,E) | k1_glib_005(A,B,C,D) = k6_xcmplx_0(k2_uproots(k23_glib_000(A,E,k6_subset_1(k6_glib_000(A),E)),k5_relat_1(B,k23_glib_000(A,E,k6_subset_1(k6_glib_000(A),E)))),k2_uproots(k23_glib_000(A,k6_subset_1(k6_glib_000(A),E),E),k5_relat_1(B,k23_glib_000(A,k6_subset_1(k6_glib_000(A),E),E)))) ) ) ) & ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ( ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k6_glib_000(A))) => ( ( k4_card_1(k6_subset_1(k6_glib_000(A),G)) = F & r2_tarski(C,G) ) => ( r2_tarski(D,G) | k1_glib_005(A,B,C,D) = k6_xcmplx_0(k2_uproots(k23_glib_000(A,G,k6_subset_1(k6_glib_000(A),G)),k5_relat_1(B,k23_glib_000(A,G,k6_subset_1(k6_glib_000(A),G)))),k2_uproots(k23_glib_000(A,k6_subset_1(k6_glib_000(A),G),G),k5_relat_1(B,k23_glib_000(A,k6_subset_1(k6_glib_000(A),G),G)))) ) ) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k6_glib_000(A))) => ( ( k4_card_1(k6_subset_1(k6_glib_000(A),H)) = k1_nat_1(F,1) & r2_tarski(C,H) ) => ( r2_tarski(D,H) | k1_glib_005(A,B,C,D) = k6_xcmplx_0(k2_uproots(k23_glib_000(A,H,k6_subset_1(k6_glib_000(A),H)),k5_relat_1(B,k23_glib_000(A,H,k6_subset_1(k6_glib_000(A),H)))),k2_uproots(k23_glib_000(A,k6_subset_1(k6_glib_000(A),H),H),k5_relat_1(B,k23_glib_000(A,k6_subset_1(k6_glib_000(A),H),H)))) ) ) ) ) ) ) => ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k6_glib_000(A))) => ( ( k4_card_1(k6_subset_1(k6_glib_000(A),I)) = F & r2_tarski(C,I) ) => ( r2_tarski(D,I) | k1_glib_005(A,B,C,D) = k6_xcmplx_0(k2_uproots(k23_glib_000(A,I,k6_subset_1(k6_glib_000(A),I)),k5_relat_1(B,k23_glib_000(A,I,k6_subset_1(k6_glib_000(A),I)))),k2_uproots(k23_glib_000(A,k6_subset_1(k6_glib_000(A),I),I),k5_relat_1(B,k23_glib_000(A,k6_subset_1(k6_glib_000(A),I),I)))) ) ) ) ) ) ) )).
fof(s10_nat_1__e8_51__cgames_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v3_cgames_1(A) & v4_cgames_1(A) & m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) ) => ( ( ( r2_tarski(k6_xcmplx_0(B,1),k4_finseq_1(A)) => r2_tarski(k9_cgames_1(k1_funct_1(A,k6_xcmplx_0(B,1))),k9_cgames_1(k1_funct_1(A,B))) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( r2_tarski(k6_xcmplx_0(B,C),k4_finseq_1(A)) => r2_tarski(k9_cgames_1(k1_funct_1(A,k6_xcmplx_0(B,C))),k9_cgames_1(k1_funct_1(A,B))) ) => ( r2_tarski(k6_xcmplx_0(B,k1_nat_1(C,1)),k4_finseq_1(A)) => r2_tarski(k9_cgames_1(k1_funct_1(A,k6_xcmplx_0(B,k1_nat_1(C,1)))),k9_cgames_1(k1_funct_1(A,B))) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r2_tarski(k6_xcmplx_0(B,C),k4_finseq_1(A)) => r2_tarski(k9_cgames_1(k1_funct_1(A,k6_xcmplx_0(B,C))),k9_cgames_1(k1_funct_1(A,B))) ) ) ) ) )).
fof(s10_nat_1__e8_78__glib_002,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v2_glib_002(A) ) => ( ( k15_glib_000(A) = 1 & k15_glib_000(A) = k1_nat_1(k17_glib_000(A),1) ) => v1_glib_002(A) ) ) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_finset_1(C) & v1_glib_000(C) & v2_glib_000(C) & v2_glib_002(C) ) => ( ( k15_glib_000(C) = B & k15_glib_000(C) = k1_nat_1(k17_glib_000(C),1) ) => v1_glib_002(C) ) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_finset_1(D) & v1_glib_000(D) & v2_glib_000(D) & v2_glib_002(D) ) => ( ( k15_glib_000(D) = k1_nat_1(B,1) & k15_glib_000(D) = k1_nat_1(k17_glib_000(D),1) ) => v1_glib_002(D) ) ) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_finset_1(E) & v1_glib_000(E) & v2_glib_000(E) & v2_glib_002(E) ) => ( ( k15_glib_000(E) = B & k15_glib_000(E) = k1_nat_1(k17_glib_000(E),1) ) => v1_glib_002(E) ) ) ) )).
fof(s10_nat_1__e9_158__finseq_3,axiom,( ! [A] : ( ( ~ ( ~ ( r2_tarski(1,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) & ? [B] : ( m1_subset_1(B,k4_ordinal1) & B = k1_funct_1(k14_finseq_1(A),1) & r1_xxreal_0(1,B) ) ) & r2_tarski(1,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ~ ( ~ ( r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) & ? [D] : ( m1_subset_1(D,k4_ordinal1) & D = k1_funct_1(k14_finseq_1(A),C) & r1_xxreal_0(C,D) ) ) & r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) ) => ~ ( ~ ( r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,k14_finseq_1(A))) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & E = k1_funct_1(k14_finseq_1(A),k1_nat_1(C,1)) & r1_xxreal_0(k1_nat_1(C,1),E) ) ) & r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,k14_finseq_1(A))) ) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( ~ ( r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = k1_funct_1(k14_finseq_1(A),C) & r1_xxreal_0(C,F) ) ) & r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) ) ) ) )).
fof(s10_nat_1__e9_8_1_2__convex3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( ( v2_convex1(C,A) & m2_rlvect_2(C,A,B) ) => ( k4_card_1(k3_rlvect_2(A,C)) = k2_xcmplx_0(1,1) => ( ! [D] : ( ( v2_convex1(D,A) & m2_rlvect_2(D,A,B) ) => ! [E] : ( ( v2_convex1(E,A) & m2_rlvect_2(E,A,B) ) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(1,F) & r1_rlvect_2(A,C,k7_rlvect_2(A,k8_rlvect_2(A,F,D),k8_rlvect_2(A,k6_xcmplx_0(1,F),E))) & k4_card_1(k3_rlvect_2(A,D)) = 1 & k4_card_1(k3_rlvect_2(A,E)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,C)),1) ) ) ) ) | r2_tarski(k6_rlvect_2(A,C),B) ) ) ) & ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ( ! [H] : ( ( v2_convex1(H,A) & m2_rlvect_2(H,A,B) ) => ( k4_card_1(k3_rlvect_2(A,H)) = k2_xcmplx_0(1,G) => ( ! [I] : ( ( v2_convex1(I,A) & m2_rlvect_2(I,A,B) ) => ! [J] : ( ( v2_convex1(J,A) & m2_rlvect_2(J,A,B) ) => ! [K] : ( v1_xreal_0(K) => ~ ( ~ r1_xxreal_0(K,k5_numbers) & ~ r1_xxreal_0(1,K) & r1_rlvect_2(A,H,k7_rlvect_2(A,k8_rlvect_2(A,K,I),k8_rlvect_2(A,k6_xcmplx_0(1,K),J))) & k4_card_1(k3_rlvect_2(A,I)) = 1 & k4_card_1(k3_rlvect_2(A,J)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,H)),1) ) ) ) ) | r2_tarski(k6_rlvect_2(A,H),B) ) ) ) => ! [L] : ( ( v2_convex1(L,A) & m2_rlvect_2(L,A,B) ) => ( k4_card_1(k3_rlvect_2(A,L)) = k2_xcmplx_0(1,k1_nat_1(G,1)) => ( ! [M] : ( ( v2_convex1(M,A) & m2_rlvect_2(M,A,B) ) => ! [N] : ( ( v2_convex1(N,A) & m2_rlvect_2(N,A,B) ) => ! [O] : ( v1_xreal_0(O) => ~ ( ~ r1_xxreal_0(O,k5_numbers) & ~ r1_xxreal_0(1,O) & r1_rlvect_2(A,L,k7_rlvect_2(A,k8_rlvect_2(A,O,M),k8_rlvect_2(A,k6_xcmplx_0(1,O),N))) & k4_card_1(k3_rlvect_2(A,M)) = 1 & k4_card_1(k3_rlvect_2(A,N)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,L)),1) ) ) ) ) | r2_tarski(k6_rlvect_2(A,L),B) ) ) ) ) ) ) => ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ! [P] : ( ( v2_convex1(P,A) & m2_rlvect_2(P,A,B) ) => ( k4_card_1(k3_rlvect_2(A,P)) = k2_xcmplx_0(1,G) => ( ! [Q] : ( ( v2_convex1(Q,A) & m2_rlvect_2(Q,A,B) ) => ! [R] : ( ( v2_convex1(R,A) & m2_rlvect_2(R,A,B) ) => ! [S] : ( v1_xreal_0(S) => ~ ( ~ r1_xxreal_0(S,k5_numbers) & ~ r1_xxreal_0(1,S) & r1_rlvect_2(A,P,k7_rlvect_2(A,k8_rlvect_2(A,S,Q),k8_rlvect_2(A,k6_xcmplx_0(1,S),R))) & k4_card_1(k3_rlvect_2(A,Q)) = 1 & k4_card_1(k3_rlvect_2(A,R)) = k6_xcmplx_0(k4_card_1(k3_rlvect_2(A,P)),1) ) ) ) ) | r2_tarski(k6_rlvect_2(A,P),B) ) ) ) ) ) ) )).
fof(s10_ordinal2__e4_13_1__classes1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k2_classes1(A,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = k1_tarski(A) & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k2_xboole_0(k2_xboole_0(a_3_2_classes1(A,F,G),a_3_3_classes1(A,F,G)),k8_subset_1(k1_zfmisc_1(k1_funct_1(F,G)),k9_setfam_1(k1_funct_1(F,G)),k1_classes1(A))) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k3_xboole_0(k3_tarski(k10_xtuple_0(k5_relat_1(F,G))),k1_classes1(A)) ) ) ) ) ) ) & B != k5_ordinal1 & v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k2_classes1(A,D) ) ) ) => k2_classes1(A,B) = k3_xboole_0(k3_tarski(k10_xtuple_0(C)),k1_classes1(A)) ) ) )).
fof(s10_ordinal2__e4_30_1__card_1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) ) => ( ( ! [C] : ( v3_ordinal1(C) => ! [D] : ( D = k3_card_1(C) <=> ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & D = k1_ordinal2(E) & k9_xtuple_0(E) = k1_ordinal1(C) & k1_funct_1(E,k5_ordinal1) = k1_card_1(k4_ordinal1) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(k1_ordinal1(F),k1_ordinal1(C)) => k1_funct_1(E,k1_ordinal1(F)) = k2_card_1(k1_funct_1(E,F)) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(F,k1_ordinal1(C)) & v4_ordinal1(F) ) => ( F = k5_ordinal1 | k1_funct_1(E,F) = k1_card_1(k4_ordinal2(k5_relat_1(E,F))) ) ) ) ) ) ) & A != k5_ordinal1 & v4_ordinal1(A) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_card_1(C) ) ) ) => k3_card_1(A) = k1_card_1(k4_ordinal2(B)) ) ) )).
fof(s10_ordinal2__e4_34_1__classes1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) ) => ( ( ! [C] : ( v3_ordinal1(C) => ! [D] : ( D = k4_classes1(C) <=> ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & D = k1_ordinal2(E) & k9_xtuple_0(E) = k1_ordinal1(C) & k1_funct_1(E,k5_ordinal1) = k1_xboole_0 & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(k1_ordinal1(F),k1_ordinal1(C)) => k1_funct_1(E,k1_ordinal1(F)) = k9_setfam_1(k1_funct_1(E,F)) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(F,k1_ordinal1(C)) & v4_ordinal1(F) ) => ( F = k5_ordinal1 | k1_funct_1(E,F) = k3_tarski(k10_xtuple_0(k5_relat_1(E,F))) ) ) ) ) ) ) & A != k5_ordinal1 & v4_ordinal1(A) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k4_classes1(C) ) ) ) => k4_classes1(A) = k3_tarski(k10_xtuple_0(B)) ) ) )).
fof(s10_ordinal2__e5_21__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) & v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) ) => ( ( ! [F] : ( v3_ordinal1(F) => ! [G] : ( G = k3_knaster(A,B,C,F) <=> ? [H] : ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & G = k1_ordinal2(H) & k9_xtuple_0(H) = k1_ordinal1(F) & k1_funct_1(H,k5_ordinal1) = C & ! [I] : ( v3_ordinal1(I) => ( r2_tarski(k1_ordinal1(I),k1_ordinal1(F)) => k1_funct_1(H,k1_ordinal1(I)) = k1_funct_1(B,k1_funct_1(H,I)) ) ) & ! [I] : ( v3_ordinal1(I) => ( ( r2_tarski(I,k1_ordinal1(F)) & v4_ordinal1(I) ) => ( I = k5_ordinal1 | k1_funct_1(H,I) = k15_lattice3(A,k10_xtuple_0(k5_relat_1(H,I))) ) ) ) ) ) ) & D != k5_ordinal1 & v4_ordinal1(D) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k3_knaster(A,B,C,F) ) ) ) => k3_knaster(A,B,C,D) = k15_lattice3(A,k10_xtuple_0(E)) ) ) )).
fof(s10_ordinal2__e5_22__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) & v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) ) => ( ( ! [F] : ( v3_ordinal1(F) => ! [G] : ( G = k4_knaster(A,B,C,F) <=> ? [H] : ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & G = k1_ordinal2(H) & k9_xtuple_0(H) = k1_ordinal1(F) & k1_funct_1(H,k5_ordinal1) = C & ! [I] : ( v3_ordinal1(I) => ( r2_tarski(k1_ordinal1(I),k1_ordinal1(F)) => k1_funct_1(H,k1_ordinal1(I)) = k1_funct_1(B,k1_funct_1(H,I)) ) ) & ! [I] : ( v3_ordinal1(I) => ( ( r2_tarski(I,k1_ordinal1(F)) & v4_ordinal1(I) ) => ( I = k5_ordinal1 | k1_funct_1(H,I) = k16_lattice3(A,k10_xtuple_0(k5_relat_1(H,I))) ) ) ) ) ) ) & D != k5_ordinal1 & v4_ordinal1(D) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k4_knaster(A,B,C,F) ) ) ) => k4_knaster(A,B,C,D) = k16_lattice3(A,k10_xtuple_0(E)) ) ) )).
fof(s10_ordinal2__e5_24__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k3_lattice8(A,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = A & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_lattice8(k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k3_tarski(k10_xtuple_0(k5_relat_1(F,G))) ) ) ) ) ) ) & B != k5_ordinal1 & v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) => k3_lattice8(A,B) = k3_tarski(k10_xtuple_0(C)) ) ) )).
fof(s10_ordinal2__e5_31__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v3_ordinal1(F) ) => ( ( ! [G] : ( v3_ordinal1(G) => ! [H] : ( H = k5_lattice8(A,B,C,D,G) <=> ? [I] : ( v1_relat_1(I) & v5_ordinal1(I) & v1_funct_1(I) & H = k1_ordinal2(I) & k9_xtuple_0(I) = k1_ordinal1(G) & k1_funct_1(I,k5_ordinal1) = C & ! [J] : ( v3_ordinal1(J) => ( r2_tarski(k1_ordinal1(J),k1_ordinal1(G)) => k1_funct_1(I,k1_ordinal1(J)) = k2_lattice8(k3_lattice8(A,J),B,k10_lattice5(k3_lattice8(A,J),B,k1_funct_1(I,J)),k4_lattice8(A,B,C,D,J)) ) ) & ! [J] : ( v3_ordinal1(J) => ( ( r2_tarski(J,k1_ordinal1(G)) & v4_ordinal1(J) ) => ( J = k5_ordinal1 | k1_funct_1(I,J) = k3_tarski(k10_xtuple_0(k5_relat_1(I,J))) ) ) ) ) ) ) & F != k5_ordinal1 & v4_ordinal1(F) & k9_xtuple_0(E) = F & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,F) => k1_funct_1(E,G) = k5_lattice8(A,B,C,D,G) ) ) ) => k5_lattice8(A,B,C,D,F) = k3_tarski(k10_xtuple_0(E)) ) ) )).
fof(s10_ordinal2__e5_47__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v3_ordinal1(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k8_lattice5(A,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = A & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k5_lattice5(k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k3_tarski(k10_xtuple_0(k5_relat_1(F,G))) ) ) ) ) ) ) & C != k5_ordinal1 & v4_ordinal1(C) & k9_xtuple_0(B) = C & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => k1_funct_1(B,D) = k8_lattice5(A,D) ) ) ) => k8_lattice5(A,C) = k3_tarski(k10_xtuple_0(B)) ) ) )).
fof(s10_ordinal2__e5_57__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(F,A,B,E) ) => ( ( ! [G] : ( v3_ordinal1(G) => ! [H] : ( H = k11_lattice5(A,B,E,F,G) <=> ? [I] : ( v1_relat_1(I) & v5_ordinal1(I) & v1_funct_1(I) & H = k1_ordinal2(I) & k9_xtuple_0(I) = k1_ordinal1(G) & k1_funct_1(I,k5_ordinal1) = E & ! [J] : ( v3_ordinal1(J) => ( r2_tarski(k1_ordinal1(J),k1_ordinal1(G)) => k1_funct_1(I,k1_ordinal1(J)) = k6_lattice5(k8_lattice5(A,J),B,k10_lattice5(k8_lattice5(A,J),B,k1_funct_1(I,J)),k9_lattice5(A,B,E,F,J)) ) ) & ! [J] : ( v3_ordinal1(J) => ( ( r2_tarski(J,k1_ordinal1(G)) & v4_ordinal1(J) ) => ( J = k5_ordinal1 | k1_funct_1(I,J) = k3_tarski(k10_xtuple_0(k5_relat_1(I,J))) ) ) ) ) ) ) & D != k5_ordinal1 & v4_ordinal1(D) & k9_xtuple_0(C) = D & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,D) => k1_funct_1(C,G) = k11_lattice5(A,B,E,F,G) ) ) ) => k11_lattice5(A,B,E,F,D) = k3_tarski(k10_xtuple_0(C)) ) ) )).
fof(s10_ordinal2__e7_63__classes2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => ( ( ! [C] : ( v3_ordinal1(C) => ! [D] : ( D = k16_classes2(C) <=> ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & D = k1_ordinal2(E) & k9_xtuple_0(E) = k1_ordinal1(C) & k1_funct_1(E,k5_ordinal1) = k13_classes2 & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(k1_ordinal1(F),k1_ordinal1(C)) => k1_funct_1(E,k1_ordinal1(F)) = k1_classes1(k1_funct_1(E,F)) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(F,k1_ordinal1(C)) & v4_ordinal1(F) ) => ( F = k5_ordinal1 | k1_funct_1(E,F) = k15_classes2(k3_card_3(k5_relat_1(E,F))) ) ) ) ) ) ) & A != k5_ordinal1 & v4_ordinal1(A) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k16_classes2(C) ) ) ) => k16_classes2(A) = k15_classes2(k3_card_3(B)) ) ) )).
fof(s10_yellow18__e15_66_1__yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & ~ v2_struct_0(D) & v2_altcat_1(D) & v3_altcat_2(D,A) & m1_altcat_2(D,A) & ~ v2_struct_0(E) & v2_altcat_1(E) & v3_altcat_2(E,B) & m1_altcat_2(E,B) & v9_functor0(F,D,E) & v15_functor0(F,D,E) & m2_functor0(F,D,E) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => k3_functor0(D,E,F,G) = k3_functor0(D,B,k4_yellow20(A,B,D,C),G) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k1_altcat_1(D,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(D,G,H)) => k6_functor0(D,E,F,G,H,I) = k6_functor0(D,B,k4_yellow20(A,B,D,C),G,H,I) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k3_functor0(D,B,k4_yellow20(A,B,D,C),G) = k3_functor0(D,B,k4_yellow20(A,B,D,C),H) => G = H ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k1_altcat_1(D,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(D,G,H)) => ! [J] : ( m1_subset_1(J,k1_altcat_1(D,G,H)) => ( k6_functor0(D,B,k4_yellow20(A,B,D,C),G,H,I) = k6_functor0(D,B,k4_yellow20(A,B,D,C),G,H,J) => I = J ) ) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ( k1_altcat_1(E,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(E,G,H)) => ? [J] : ( m1_subset_1(J,u1_struct_0(D)) & ? [K] : ( m1_subset_1(K,u1_struct_0(D)) & ? [L] : ( m1_subset_1(L,k1_altcat_1(D,J,K)) & G = k3_functor0(D,B,k4_yellow20(A,B,D,C),J) & H = k3_functor0(D,B,k4_yellow20(A,B,D,C),K) & k1_altcat_1(D,J,K) != k1_xboole_0 & I = k6_functor0(D,B,k4_yellow20(A,B,D,C),J,K,L) ) ) ) ) ) ) ) ) => v21_functor0(F,D,E) ) ) )).
fof(s11_circcmb2__e12_19__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( ( v1_relat_1(k3_msafree2(k1_gfacirc2(k5_numbers,A,B))) & ~ v1_facirc_1(k2_msafree2(k1_gfacirc2(k5_numbers,A,B))) & r2_tarski(k1_funct_1(C,k5_numbers),k3_msafree2(k1_gfacirc2(k5_numbers,A,B))) & ! [D] : ( v7_ordinal1(D) => ! [E] : v1_relat_1(k3_msafree2(k13_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E))) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ~ ( E = k1_funct_1(C,D) & v1_facirc_1(k4_xboole_0(k2_msafree2(k13_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E)),k1_tarski(E))) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & l1_msualg_1(E) ) => ! [F] : ( ( E = k1_gfacirc2(D,A,B) & F = k1_funct_1(C,D) ) => ( k1_gfacirc2(k1_nat_1(D,1),A,B) = k2_circcomb(E,k13_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F)) & k1_funct_1(C,k1_nat_1(D,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F) & r2_tarski(F,k2_msafree2(k13_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) & r2_hidden(k9_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F),k3_msafree2(k13_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k2_msafree2(k1_gfacirc2(k1_nat_1(D,1),A,B)) = k2_xboole_0(k2_msafree2(k1_gfacirc2(D,A,B)),k4_xboole_0(k2_msafree2(k13_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,D))),k1_tarski(k1_funct_1(C,D)))) & v1_relat_1(k3_msafree2(k1_gfacirc2(D,A,B))) & ~ v1_facirc_1(k2_msafree2(k1_gfacirc2(D,A,B))) ) ) ) ) )).
fof(s11_circcmb2__e12_40__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( ( v1_relat_1(k3_msafree2(k5_gfacirc2(k5_numbers,A,B))) & ~ v1_facirc_1(k2_msafree2(k5_gfacirc2(k5_numbers,A,B))) & r2_tarski(k1_funct_1(C,k5_numbers),k3_msafree2(k5_gfacirc2(k5_numbers,A,B))) & ! [D] : ( v7_ordinal1(D) => ! [E] : v1_relat_1(k3_msafree2(k25_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E))) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ~ ( E = k1_funct_1(C,D) & v1_facirc_1(k4_xboole_0(k2_msafree2(k25_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E)),k1_tarski(E))) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & l1_msualg_1(E) ) => ! [F] : ( ( E = k5_gfacirc2(D,A,B) & F = k1_funct_1(C,D) ) => ( k5_gfacirc2(k1_nat_1(D,1),A,B) = k2_circcomb(E,k25_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F)) & k1_funct_1(C,k1_nat_1(D,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F) & r2_tarski(F,k2_msafree2(k25_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) & r2_hidden(k21_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F),k3_msafree2(k25_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k2_msafree2(k5_gfacirc2(k1_nat_1(D,1),A,B)) = k2_xboole_0(k2_msafree2(k5_gfacirc2(D,A,B)),k4_xboole_0(k2_msafree2(k25_gfacirc1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,D))),k1_tarski(k1_funct_1(C,D)))) & v1_relat_1(k3_msafree2(k5_gfacirc2(D,A,B))) & ~ v1_facirc_1(k2_msafree2(k5_gfacirc2(D,A,B))) ) ) ) ) )).
fof(s11_circcmb2__e13_25__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( ( v1_relat_1(k3_msafree2(k1_fscirc_2(k5_numbers,A,B))) & ~ v1_facirc_1(k2_msafree2(k1_fscirc_2(k5_numbers,A,B))) & r2_tarski(k1_funct_1(C,k5_numbers),k3_msafree2(k1_fscirc_2(k5_numbers,A,B))) & ! [D] : ( v7_ordinal1(D) => ! [E] : v1_relat_1(k3_msafree2(k8_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E))) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ~ ( E = k1_funct_1(C,D) & v1_facirc_1(k4_xboole_0(k2_msafree2(k8_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E)),k1_tarski(E))) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & l1_msualg_1(E) ) => ! [F] : ( ( E = k1_fscirc_2(D,A,B) & F = k1_funct_1(C,D) ) => ( k1_fscirc_2(k1_nat_1(D,1),A,B) = k2_circcomb(E,k8_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F)) & k1_funct_1(C,k1_nat_1(D,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F) & r2_tarski(F,k2_msafree2(k8_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) & r2_hidden(k6_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F),k3_msafree2(k8_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k2_msafree2(k1_fscirc_2(k1_nat_1(D,1),A,B)) = k2_xboole_0(k2_msafree2(k1_fscirc_2(D,A,B)),k4_xboole_0(k2_msafree2(k8_fscirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,D))),k1_tarski(k1_funct_1(C,D)))) & v1_relat_1(k3_msafree2(k1_fscirc_2(D,A,B))) & ~ v1_facirc_1(k2_msafree2(k1_fscirc_2(D,A,B))) ) ) ) ) )).
fof(s11_circcmb2__e13_40__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( ( v1_relat_1(k3_msafree2(k3_facirc_2(k5_numbers,A,B))) & ~ v1_facirc_1(k2_msafree2(k3_facirc_2(k5_numbers,A,B))) & r2_tarski(k1_funct_1(C,k5_numbers),k3_msafree2(k3_facirc_2(k5_numbers,A,B))) & ! [D] : ( v7_ordinal1(D) => ! [E] : v1_relat_1(k3_msafree2(k19_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E))) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ~ ( E = k1_funct_1(C,D) & v1_facirc_1(k4_xboole_0(k2_msafree2(k19_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),E)),k1_tarski(E))) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & l1_msualg_1(E) ) => ! [F] : ( ( E = k3_facirc_2(D,A,B) & F = k1_funct_1(C,D) ) => ( k3_facirc_2(k1_nat_1(D,1),A,B) = k2_circcomb(E,k19_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F)) & k1_funct_1(C,k1_nat_1(D,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F) & r2_tarski(F,k2_msafree2(k19_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) & r2_hidden(k17_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F),k3_msafree2(k19_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),F))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k2_msafree2(k3_facirc_2(k1_nat_1(D,1),A,B)) = k2_xboole_0(k2_msafree2(k3_facirc_2(D,A,B)),k4_xboole_0(k2_msafree2(k19_facirc_1(k1_funct_1(A,k1_nat_1(D,1)),k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,D))),k1_tarski(k1_funct_1(C,D)))) & v1_relat_1(k3_msafree2(k3_facirc_2(D,A,B))) & ~ v1_facirc_1(k2_msafree2(k3_facirc_2(D,A,B))) ) ) ) ) )).
fof(s11_funct_2__e2_12__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ! [E] : ( r2_tarski(E,k9_setfam_1(A)) => r2_hidden(k6_subset_1(A,k7_relset_1(B,A,D,k6_subset_1(B,k7_relset_1(A,B,C,E)))),k9_setfam_1(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_setfam_1(A),k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & ! [F] : ( r2_tarski(F,k9_setfam_1(A)) => k1_funct_1(E,F) = k6_subset_1(A,k7_relset_1(B,A,D,k6_subset_1(B,k7_relset_1(A,B,C,F)))) ) ) ) ) )).
fof(s11_funct_2__e4_43__topgen_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( ! [B] : ( r2_tarski(B,A) => r2_hidden(a_1_3_topgen_3(B),k9_setfam_1(k1_numbers)) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,A,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(k1_numbers)))) & ! [C] : ( r2_tarski(C,A) => k1_funct_1(B,C) = a_1_3_topgen_3(C) ) ) ) ) )).
fof(s11_nat_1__e2_13_2__zf_fund2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_zf_refle(B,A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k2_ordinal4(A) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k1_nat_1(D,1)) = k2_ordinal2(a_4_1_zf_fund2(A,B,C,D)) ) ) ) )).
fof(s11_nat_1__e2_16__neckla_2,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & k9_xtuple_0(A) = k4_ordinal1 & k1_funct_1(A,k5_numbers) = a_0_2_neckla_2 & ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,k1_nat_1(B,1)) = k2_xboole_0(k1_funct_1(A,B),a_2_0_neckla_2(A,B)) ) ) )).
fof(s11_nat_1__e2_47_1_2__dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = o_2_2_dickson(A,B) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k1_nat_1(D,1)) = o_4_4_dickson(A,B,C,D) ) ) ) )).
fof(s11_nat_1__e4_4_2_2__bhsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(B)))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k3_funct_2(k4_ordinal1,k1_zfmisc_1(B),C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,k1_nat_1(E,1)) = k2_xboole_0(k3_funct_2(k4_ordinal1,k1_zfmisc_1(B),C,k1_nat_1(E,1)),k1_funct_1(D,E)) ) ) ) )).
fof(s11_nat_1__e7_60_1_2_1__topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_relat_1(D) & v1_funct_1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_ordinal1 & k1_funct_1(E,k5_numbers) = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),B,C) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,k1_nat_1(F,1)) = k1_funct_1(D,k4_tarski(F,k1_funct_1(E,F))) ) ) ) )).
fof(s11_nat_1__e9_28__wellfnd1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = o_1_2_wellfnd1(B) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k1_nat_1(D,1)) = o_4_0_wellfnd1(A,B,C,D) ) ) ) )).
fof(s11_ordinal2__e2_15__zfrefle1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k9_funct_2(k2_ordinal1(A),k2_ordinal1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(k2_ordinal1(A),k2_ordinal1(A))))) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & k9_xtuple_0(D) = k2_ordinal1(A) & ( r2_tarski(k5_ordinal1,k2_ordinal1(A)) => k1_funct_1(D,k5_ordinal1) = k5_numbers ) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k2_ordinal1(A)) => k1_funct_1(D,k1_ordinal1(E)) = k3_ordinal2(k2_xboole_0(k1_tarski(k1_funct_1(D,E)),k7_relat_1(k13_funct_5(B,k2_ordinal1(A),k2_ordinal1(A),C),k2_zfmisc_1(B,k1_tarski(k1_ordinal1(E)))))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k2_ordinal1(A)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k4_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) )).
fof(s11_ordinal2__e3_52__ordinal5,axiom,( ? [A] : ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) & k9_xtuple_0(A) = k4_ordinal1 & ( r2_tarski(k5_ordinal1,k4_ordinal1) => k1_funct_1(A,k5_ordinal1) = 1 ) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(k1_ordinal1(B),k4_ordinal1) => k1_funct_1(A,k1_ordinal1(B)) = k12_ordinal2(k4_ordinal1,k1_funct_1(A,B)) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(B,k4_ordinal1) & v4_ordinal1(B) ) => ( B = k5_ordinal1 | k1_funct_1(A,B) = k8_ordinal2(k5_relat_1(A,B)) ) ) ) ) )).
fof(s11_ordinal2__e3_57__ordinal5,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal5(A) ) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = k4_ordinal1 & ( r2_tarski(k5_ordinal1,k4_ordinal1) => k1_funct_1(B,k5_ordinal1) = k1_ordinal1(A) ) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(k1_ordinal1(C),k4_ordinal1) => k1_funct_1(B,k1_ordinal1(C)) = k12_ordinal2(k4_ordinal1,k1_funct_1(B,C)) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,k4_ordinal1) & v4_ordinal1(C) ) => ( C = k5_ordinal1 | k1_funct_1(B,C) = k8_ordinal2(k5_relat_1(B,C)) ) ) ) ) ) )).
fof(s12_funct_2__e12_19__matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ! [D] : ( r2_tarski(D,k5_finsub_1(k9_matrix_1(B))) => r2_hidden(k2_matrix_7(k1_finseq_2(B),D,k1_finsop_1(u1_struct_0(A),k13_matrix_3(B,A,C),u2_algstr_0(A)),k4_struct_0(A)),u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(k9_matrix_1(B)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(B)),u1_struct_0(A)))) & ! [E] : ( r2_tarski(E,k5_finsub_1(k9_matrix_1(B))) => k1_funct_1(D,E) = k2_matrix_7(k1_finseq_2(B),E,k1_finsop_1(u1_struct_0(A),k13_matrix_3(B,A,C),u2_algstr_0(A)),k4_struct_0(A)) ) ) ) ) )).
fof(s12_funct_2__e12_40__matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) ) => ( ! [D] : ( r2_tarski(D,k5_finsub_1(k9_matrix_1(A))) => r2_hidden(k1_funct_1(C,a_2_0_matrix_7(A,D)),u1_struct_0(B)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) & ! [E] : ( r2_tarski(E,k5_finsub_1(k9_matrix_1(A))) => k1_funct_1(D,E) = k1_funct_1(C,a_2_0_matrix_7(A,E)) ) ) ) ) )).
fof(s12_funct_2__e2_27__random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(E) & v1_funct_2(E,C,k6_numbers) & v10_valued_0(E) & v6_supinf_2(E) & v2_measure1(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) & v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [G] : ( r2_tarski(G,D) => r2_hidden(k12_supinf_2(E,k8_relset_1(A,B,F,G)),k6_numbers) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,D,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(D,k6_numbers))) & ! [H] : ( r2_tarski(H,D) => k1_funct_1(G,H) = k12_supinf_2(E,k8_relset_1(A,B,F,H)) ) ) ) ) )).
fof(s12_funct_2__e3_29_1_2__metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ( r2_tarski(C,B) => r2_hidden(o_1_1_metrizts(C),k2_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k2_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_struct_0(A)))) & ! [D] : ( r2_tarski(D,B) => k1_funct_1(C,D) = o_1_1_metrizts(D) ) ) ) ) )).
fof(s12_funct_2__e4_16_1_2__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ( r2_tarski(D,C) => r2_hidden(k9_subset_1(u1_struct_0(A),D,B),k1_tops_2(A,B,C)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_tops_2(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_tops_2(A,B,C)))) & ! [E] : ( r2_tarski(E,C) => k1_funct_1(D,E) = k9_subset_1(u1_struct_0(A),E,B) ) ) ) ) )).
fof(s12_funct_2__e6_73_1_1_1__euclid_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m2_finseq_1(B,k1_euclid(A)) ) => ( ! [C] : ( r2_tarski(C,k4_ordinal1) => r2_hidden(k2_matrix_7(C,k1_nat_1(k3_finseq_1(B),1),k15_funcop_1(C,k5_numbers,k4_struct_0(k7_real_ns1(A)),k7_partfun1(k1_euclid(A),k4_euclid_7(A,B),C)),k4_struct_0(k7_real_ns1(A))),u1_struct_0(k7_real_ns1(A))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_real_ns1(A))))) & ! [D] : ( r2_tarski(D,k4_ordinal1) => k1_funct_1(C,D) = k2_matrix_7(D,k1_nat_1(k3_finseq_1(B),1),k15_funcop_1(D,k5_numbers,k4_struct_0(k7_real_ns1(A)),k7_partfun1(k1_euclid(A),k4_euclid_7(A,B),D)),k4_struct_0(k7_real_ns1(A))) ) ) ) ) )).
fof(s12_funct_2__e6_91_1_1_1__euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) ) => ( ! [C] : ( r2_tarski(C,k4_ordinal1) => r2_hidden(k2_matrix_7(C,k1_nat_1(k3_finseq_1(B),1),k15_funcop_1(C,k5_numbers,k4_struct_0(k10_funcsdom(k2_finseq_1(A))),k7_partfun1(k1_euclid(A),k4_euclid_7(A,B),C)),k4_struct_0(k10_funcsdom(k2_finseq_1(A)))),u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))))) & ! [D] : ( r2_tarski(D,k4_ordinal1) => k1_funct_1(C,D) = k2_matrix_7(D,k1_nat_1(k3_finseq_1(B),1),k15_funcop_1(D,k5_numbers,k4_struct_0(k10_funcsdom(k2_finseq_1(A))),k7_partfun1(k1_euclid(A),k4_euclid_7(A,B),D)),k4_struct_0(k10_funcsdom(k2_finseq_1(A)))) ) ) ) ) )).
fof(s12_nat_1__e10_159__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(G,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & m2_subset_1(J,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & v3_aofa_a01(K,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(K,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(L,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(L,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & ~ v2_struct_0(M) & v2_unialg_1(M) & v3_unialg_1(M) & v4_unialg_1(M) & v3_aofa_000(M) & v4_aofa_000(M) & v5_aofa_000(M) & v6_aofa_000(M) & ~ v10_aofa_000(M) & v11_aofa_000(M) & v12_aofa_000(M) & v5_aofa_a01(M,A,B,C,E) & l3_aofa_a00(M,A,C,u4_aofa_a00(A,B,C,E)) & m1_aofa_000(N,M,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),I,k2_aofa_a01(A,D))) & m1_subset_1(O,u1_struct_0(M)) ) => ? [P] : ( v1_funct_1(P) & v1_funct_2(P,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) & k3_funct_2(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),P,k5_numbers) = J & ! [Q] : ( v7_ordinal1(Q) => k3_funct_2(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),P,k1_nat_1(Q,1)) = k3_aofa_a01(A,B,C,E,I,D,M,N,k1_funct_1(P,Q),k13_aofa_000(M,k13_aofa_000(M,k13_aofa_000(M,O,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),M,F,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K)))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))) ) ) ) )).
fof(s12_nat_1__e1_13__fib_num3,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A,k5_numbers) = k1_domain_1(k4_ordinal1,k4_ordinal1,2,1) & ! [B] : ( v7_ordinal1(B) => k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A,k1_nat_1(B,1)) = k1_domain_1(k4_ordinal1,k4_ordinal1,k3_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(A,B)),k1_nat_1(k2_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(A,B)),k3_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(A,B)))) ) ) )).
fof(s12_nat_1__e1_14_1__tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k3_funct_2(k4_ordinal1,u1_struct_0(A),C,k5_numbers) = o_1_0_tbsp_1(A) & ! [D] : ( v7_ordinal1(D) => k3_funct_2(k4_ordinal1,u1_struct_0(A),C,k1_nat_1(D,1)) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k1_funct_1(C,D)) ) ) ) )).
fof(s12_nat_1__e1_28__zf_refle,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k3_funct_2(k4_ordinal1,k4_ordinal1,A,k5_numbers) = k1_nat_1(5,k5_numbers) & ! [B] : ( v7_ordinal1(B) => k3_funct_2(k4_ordinal1,k4_ordinal1,A,k1_nat_1(B,1)) = k1_nat_1(5,k1_nat_1(B,1)) ) ) )).
fof(s12_nat_1__e1_37__fib_num3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,k5_numbers) = k2_fib_num3(A,B) & ! [D] : ( v7_ordinal1(D) => k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),C,k1_nat_1(D,1)) = k2_fib_num3(k3_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(C,D)),k1_nat_1(k2_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(C,D)),k3_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(C,D)))) ) ) ) )).
fof(s12_nat_1__e1_3__pre_ff,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A,k5_numbers) = k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,1) & ! [B] : ( v7_ordinal1(B) => k3_funct_2(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A,k1_nat_1(B,1)) = k10_subset_1(k1_domain_1(k4_ordinal1,k4_ordinal1,k3_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(A,B)),k1_nat_1(k2_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(A,B)),k3_domain_1(k4_ordinal1,k4_ordinal1,k1_funct_1(A,B)))),k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) ) ) )).
fof(s12_nat_1__e28_159__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(G,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & v3_aofa_a01(J,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(J,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(K,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(K,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & ~ v2_struct_0(L) & v2_unialg_1(L) & v3_unialg_1(L) & v4_unialg_1(L) & v3_aofa_000(L) & v4_aofa_000(L) & v5_aofa_000(L) & v6_aofa_000(L) & ~ v10_aofa_000(L) & v11_aofa_000(L) & v12_aofa_000(L) & v5_aofa_a01(L,A,B,C,E) & l3_aofa_a00(L,A,C,u4_aofa_a00(A,B,C,E)) & m1_aofa_000(M,L,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),I,k2_aofa_a01(A,D))) & m1_subset_1(N,u1_struct_0(L)) & m2_subset_1(O,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) ) => ? [P] : ( v1_funct_1(P) & v1_funct_2(P,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) & k3_funct_2(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),P,k5_numbers) = O & ! [Q] : ( v7_ordinal1(Q) => k3_funct_2(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),P,k1_nat_1(Q,1)) = k3_aofa_a01(A,B,C,E,I,D,L,M,k1_funct_1(P,Q),k13_aofa_000(L,k13_aofa_000(L,k13_aofa_000(L,N,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),L,F,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,J)))),k13_aofa_a01(A,B,C,E,L,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,J)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K)))),k13_aofa_a01(A,B,C,E,L,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K)),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))) ) ) ) )).
fof(s12_nat_1__e6_34__graph_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k3_funct_2(k4_ordinal1,k4_ordinal1,A,k5_numbers) = 2 & ! [B] : ( v7_ordinal1(B) => k3_funct_2(k4_ordinal1,k4_ordinal1,A,k1_nat_1(B,1)) = k7_nat_d(3,k1_funct_1(A,B)) ) ) )).
fof(s12_yellow18__e15_67_1__yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v16_functor0(C,A,B) & m2_functor0(C,A,B) & ~ v2_struct_0(D) & v2_altcat_1(D) & v3_altcat_2(D,A) & m1_altcat_2(D,A) & ~ v2_struct_0(E) & v2_altcat_1(E) & v3_altcat_2(E,B) & m1_altcat_2(E,B) & v9_functor0(F,D,E) & v16_functor0(F,D,E) & m2_functor0(F,D,E) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => k3_functor0(D,E,F,G) = k3_functor0(D,B,k5_yellow20(A,B,D,C),G) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k1_altcat_1(D,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(D,G,H)) => k8_functor0(D,E,F,G,H,I) = k8_functor0(D,B,k5_yellow20(A,B,D,C),G,H,I) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k3_functor0(D,B,k5_yellow20(A,B,D,C),G) = k3_functor0(D,B,k5_yellow20(A,B,D,C),H) => G = H ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k1_altcat_1(D,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(D,G,H)) => ! [J] : ( m1_subset_1(J,k1_altcat_1(D,G,H)) => ( k8_functor0(D,B,k5_yellow20(A,B,D,C),G,H,I) = k8_functor0(D,B,k5_yellow20(A,B,D,C),G,H,J) => I = J ) ) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ( k1_altcat_1(E,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(E,G,H)) => ? [J] : ( m1_subset_1(J,u1_struct_0(D)) & ? [K] : ( m1_subset_1(K,u1_struct_0(D)) & ? [L] : ( m1_subset_1(L,k1_altcat_1(D,J,K)) & H = k3_functor0(D,B,k5_yellow20(A,B,D,C),J) & G = k3_functor0(D,B,k5_yellow20(A,B,D,C),K) & k1_altcat_1(D,J,K) != k1_xboole_0 & I = k8_functor0(D,B,k5_yellow20(A,B,D,C),J,K,L) ) ) ) ) ) ) ) ) => v21_functor0(F,D,E) ) ) )).
fof(s12_yellow18__e7_35__yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_functor0(A,B,k2_yellow18(A,B),C) = C ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_altcat_1(A,C,D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,D)) => k8_functor0(A,B,k2_yellow18(A,B),C,D,E) = E ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( C = D => C = D ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_altcat_1(A,C,D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,C,D)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) => ( E = F => E = F ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( k1_altcat_1(B,C,D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_altcat_1(B,C,D)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(A,F,G)) & D = F & C = G & k1_altcat_1(A,F,G) != k1_xboole_0 & E = H ) ) ) ) ) ) ) ) => v21_functor0(k2_yellow18(A,B),A,B) ) ) )).
fof(s14_circcmb2__e14_14__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( ? [I] : ( ~ v2_struct_0(I) & l1_msualg_1(I) & ? [J] : ( v4_msualg_1(J,I) & l3_msualg_1(J,I) & I = k1_funct_1(C,k5_numbers) & J = k1_funct_1(D,k5_numbers) ) ) & k1_funct_1(C,k5_numbers) = k1_funct_1(F,k5_numbers) & k1_funct_1(D,k5_numbers) = k1_funct_1(G,k5_numbers) & k1_funct_1(E,k5_numbers) = k1_funct_1(H,k5_numbers) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(C,I) & K = k1_funct_1(D,I) & L = k1_funct_1(E,I) ) => ( k1_funct_1(C,k1_nat_1(I,1)) = k2_circcomb(J,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(D,k1_nat_1(I,1)) = k3_circcomb(J,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k20_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(E,k1_nat_1(I,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(F,I) & K = k1_funct_1(G,I) & L = k1_funct_1(H,I) ) => ( k1_funct_1(F,k1_nat_1(I,1)) = k2_circcomb(J,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(G,k1_nat_1(I,1)) = k3_circcomb(J,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k20_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(H,k1_nat_1(I,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ! [L] : ( v7_ordinal1(L) => ( v4_msualg_1(k3_circcomb(I,k19_facirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k20_facirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k19_facirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) & l3_msualg_1(k3_circcomb(I,k19_facirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k20_facirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k19_facirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) ) ) ) ) ) => ( r8_pboole(k4_ordinal1,C,F) & r8_pboole(k4_ordinal1,D,G) & r8_pboole(k4_ordinal1,E,H) ) ) ) )).
fof(s14_circcmb2__e14_25__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( ? [I] : ( ~ v2_struct_0(I) & l1_msualg_1(I) & ? [J] : ( v4_msualg_1(J,I) & l3_msualg_1(J,I) & I = k1_funct_1(C,k5_numbers) & J = k1_funct_1(D,k5_numbers) ) ) & k1_funct_1(C,k5_numbers) = k1_funct_1(F,k5_numbers) & k1_funct_1(D,k5_numbers) = k1_funct_1(G,k5_numbers) & k1_funct_1(E,k5_numbers) = k1_funct_1(H,k5_numbers) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(C,I) & K = k1_funct_1(D,I) & L = k1_funct_1(E,I) ) => ( k1_funct_1(C,k1_nat_1(I,1)) = k2_circcomb(J,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(D,k1_nat_1(I,1)) = k3_circcomb(J,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k26_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(E,k1_nat_1(I,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(F,I) & K = k1_funct_1(G,I) & L = k1_funct_1(H,I) ) => ( k1_funct_1(F,k1_nat_1(I,1)) = k2_circcomb(J,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(G,k1_nat_1(I,1)) = k3_circcomb(J,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k26_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(H,k1_nat_1(I,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ! [L] : ( v7_ordinal1(L) => ( v4_msualg_1(k3_circcomb(I,k25_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k26_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k25_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) & l3_msualg_1(k3_circcomb(I,k25_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k26_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k25_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) ) ) ) ) ) => ( r8_pboole(k4_ordinal1,C,F) & r8_pboole(k4_ordinal1,D,G) & r8_pboole(k4_ordinal1,E,H) ) ) ) )).
fof(s14_circcmb2__e14_4__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( ? [I] : ( ~ v2_struct_0(I) & l1_msualg_1(I) & ? [J] : ( v4_msualg_1(J,I) & l3_msualg_1(J,I) & I = k1_funct_1(C,k5_numbers) & J = k1_funct_1(D,k5_numbers) ) ) & k1_funct_1(C,k5_numbers) = k1_funct_1(F,k5_numbers) & k1_funct_1(D,k5_numbers) = k1_funct_1(G,k5_numbers) & k1_funct_1(E,k5_numbers) = k1_funct_1(H,k5_numbers) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(C,I) & K = k1_funct_1(D,I) & L = k1_funct_1(E,I) ) => ( k1_funct_1(C,k1_nat_1(I,1)) = k2_circcomb(J,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(D,k1_nat_1(I,1)) = k3_circcomb(J,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k9_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(E,k1_nat_1(I,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(F,I) & K = k1_funct_1(G,I) & L = k1_funct_1(H,I) ) => ( k1_funct_1(F,k1_nat_1(I,1)) = k2_circcomb(J,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(G,k1_nat_1(I,1)) = k3_circcomb(J,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k9_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(H,k1_nat_1(I,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ! [L] : ( v7_ordinal1(L) => ( v4_msualg_1(k3_circcomb(I,k8_fscirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k9_fscirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k8_fscirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) & l3_msualg_1(k3_circcomb(I,k8_fscirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k9_fscirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k8_fscirc_1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) ) ) ) ) ) => ( r8_pboole(k4_ordinal1,C,F) & r8_pboole(k4_ordinal1,D,G) & r8_pboole(k4_ordinal1,E,H) ) ) ) )).
fof(s14_circcmb2__e14_4__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( ? [I] : ( ~ v2_struct_0(I) & l1_msualg_1(I) & ? [J] : ( v4_msualg_1(J,I) & l3_msualg_1(J,I) & I = k1_funct_1(C,k5_numbers) & J = k1_funct_1(D,k5_numbers) ) ) & k1_funct_1(C,k5_numbers) = k1_funct_1(F,k5_numbers) & k1_funct_1(D,k5_numbers) = k1_funct_1(G,k5_numbers) & k1_funct_1(E,k5_numbers) = k1_funct_1(H,k5_numbers) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(C,I) & K = k1_funct_1(D,I) & L = k1_funct_1(E,I) ) => ( k1_funct_1(C,k1_nat_1(I,1)) = k2_circcomb(J,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(D,k1_nat_1(I,1)) = k3_circcomb(J,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k14_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(E,k1_nat_1(I,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( ~ v2_struct_0(J) & l1_msualg_1(J) ) => ! [K] : ( ( v4_msualg_1(K,J) & l3_msualg_1(K,J) ) => ! [L] : ( ( J = k1_funct_1(F,I) & K = k1_funct_1(G,I) & L = k1_funct_1(H,I) ) => ( k1_funct_1(F,k1_nat_1(I,1)) = k2_circcomb(J,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(G,k1_nat_1(I,1)) = k3_circcomb(J,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L),K,k14_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L)) & k1_funct_1(H,k1_nat_1(I,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),L) ) ) ) ) ) & ! [I] : ( ( ~ v2_struct_0(I) & l1_msualg_1(I) ) => ! [J] : ( ( v4_msualg_1(J,I) & l3_msualg_1(J,I) ) => ! [K] : ! [L] : ( v7_ordinal1(L) => ( v4_msualg_1(k3_circcomb(I,k13_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k14_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k13_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) & l3_msualg_1(k3_circcomb(I,k13_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K),J,k14_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K)),k2_circcomb(I,k13_gfacirc1(k1_funct_1(A,k1_nat_1(L,1)),k1_funct_1(B,k1_nat_1(L,1)),K))) ) ) ) ) ) => ( r8_pboole(k4_ordinal1,C,F) & r8_pboole(k4_ordinal1,D,G) & r8_pboole(k4_ordinal1,E,H) ) ) ) )).
fof(s14_fraenkel__e11_100__compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) ) => a_3_9_compos_1(A,B,C) = a_3_10_compos_1(A,B,C) ) )).
fof(s14_fraenkel__e1_38__heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m1_subset_1(C,u1_struct_0(k11_normform(A))) ) => a_3_21_heyting1(A,B,C) = a_3_23_heyting1(A,B,C) ) )).
fof(s14_nat_1__e11_96__funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))))) & m2_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) ) => ( ( k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),B,k5_numbers) = D & ! [E] : ( v7_ordinal1(E) => k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),B,k1_nat_1(E,1)) = k3_relat_1(A,k1_funct_1(B,E)) ) & k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),C,k5_numbers) = D & ! [E] : ( v7_ordinal1(E) => k3_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),C,k1_nat_1(E,1)) = k3_relat_1(A,k1_funct_1(C,E)) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) => ! [G] : ( m1_subset_1(G,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) => ! [H] : ( m1_subset_1(H,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) => ( ( G = k3_relat_1(A,F) & H = k3_relat_1(A,F) ) => G = H ) ) ) ) ) ) => r2_funct_2(k4_ordinal1,k9_setfam_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A))),B,C) ) ) )).
fof(s14_ordinal2__e2_22__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k1_ordinal5(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = 1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k12_ordinal2(A,k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k8_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) => k1_ordinal5(A,k5_ordinal1) = 1 ) ) )).
fof(s14_ordinal2__e2_57__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k10_ordinal2(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k1_ordinal1(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k4_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) => k10_ordinal2(A,k5_ordinal1) = A ) ) )).
fof(s14_ordinal2__e2_59__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( B = k3_ordinal5(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_ordinal5(k4_ordinal1,k4_ordinal1) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k1_ordinal5(k1_funct_1(C,D),k4_ordinal1) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k8_ordinal2(k5_relat_1(C,D)) ) ) ) ) ) ) ) => k3_ordinal5(k5_ordinal1) = k1_ordinal5(k4_ordinal1,k4_ordinal1) )).
fof(s14_ordinal2__e2_65__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k11_ordinal2(B,A) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = k5_ordinal1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k10_ordinal2(k1_funct_1(D,E),A) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_tarski(k4_ordinal2(k5_relat_1(D,E))) ) ) ) ) ) ) ) => k11_ordinal2(k5_ordinal1,A) = k5_ordinal1 ) ) )).
fof(s14_ordinal2__e2_73__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k12_ordinal2(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = 1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k11_ordinal2(A,k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k8_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) => k12_ordinal2(A,k5_ordinal1) = 1 ) ) )).
fof(s15_circcmb2__e16_14__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( v4_msualg_1(H,G) & l3_msualg_1(H,G) ) => ! [I] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & I = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k19_facirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(D,k1_nat_1(F,1)) = k3_circcomb(G,k19_facirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I),H,k20_facirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(E,k1_nat_1(F,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I) ) ) ) ) ) & ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( v4_msualg_1(G,F) & l3_msualg_1(G,F) ) => ! [H] : ! [I] : ( v7_ordinal1(I) => ( v4_msualg_1(k3_circcomb(F,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k20_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) & l3_msualg_1(k3_circcomb(F,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k20_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k19_facirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k19_facirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H)) & k1_funct_1(E,k1_nat_1(F,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H) ) ) ) ) ) ) )).
fof(s15_circcmb2__e16_25__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( v4_msualg_1(H,G) & l3_msualg_1(H,G) ) => ! [I] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & I = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k25_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(D,k1_nat_1(F,1)) = k3_circcomb(G,k25_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I),H,k26_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(E,k1_nat_1(F,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I) ) ) ) ) ) & ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( v4_msualg_1(G,F) & l3_msualg_1(G,F) ) => ! [H] : ! [I] : ( v7_ordinal1(I) => ( v4_msualg_1(k3_circcomb(F,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k26_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) & l3_msualg_1(k3_circcomb(F,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k26_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k25_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k25_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H)) & k1_funct_1(E,k1_nat_1(F,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H) ) ) ) ) ) ) )).
fof(s15_circcmb2__e16_4__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( v4_msualg_1(H,G) & l3_msualg_1(H,G) ) => ! [I] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & I = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k8_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(D,k1_nat_1(F,1)) = k3_circcomb(G,k8_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I),H,k9_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(E,k1_nat_1(F,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I) ) ) ) ) ) & ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( v4_msualg_1(G,F) & l3_msualg_1(G,F) ) => ! [H] : ! [I] : ( v7_ordinal1(I) => ( v4_msualg_1(k3_circcomb(F,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k9_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) & l3_msualg_1(k3_circcomb(F,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k9_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k8_fscirc_1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k8_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H)) & k1_funct_1(E,k1_nat_1(F,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H) ) ) ) ) ) ) )).
fof(s15_circcmb2__e16_4__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( v4_msualg_1(H,G) & l3_msualg_1(H,G) ) => ! [I] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & I = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k13_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(D,k1_nat_1(F,1)) = k3_circcomb(G,k13_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I),H,k14_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(E,k1_nat_1(F,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I) ) ) ) ) ) & ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( v4_msualg_1(G,F) & l3_msualg_1(G,F) ) => ! [H] : ! [I] : ( v7_ordinal1(I) => ( v4_msualg_1(k3_circcomb(F,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k14_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) & l3_msualg_1(k3_circcomb(F,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H),G,k14_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H)),k2_circcomb(F,k13_gfacirc1(k1_funct_1(A,k1_nat_1(I,1)),k1_funct_1(B,k1_nat_1(I,1)),H))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k13_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H)) & k1_funct_1(E,k1_nat_1(F,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),H) ) ) ) ) ) ) )).
fof(s15_nat_1__e15_38__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ( k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = B & ! [E] : ( v7_ordinal1(E) => k1_funct_1(C,k1_nat_1(E,1)) = k2_xboole_0(k1_funct_1(C,E),a_3_12_aofa_000(A,C,E)) ) & k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = B & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,k1_nat_1(E,1)) = k2_xboole_0(k1_funct_1(D,E),a_3_12_aofa_000(A,D,E)) ) ) => C = D ) ) )).
fof(s15_nat_1__e29_14__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(C,k1_nat_1(E,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,E)) ) & k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,k1_nat_1(E,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(D,E)) ) ) => C = D ) ) )).
fof(s15_nat_1__e29_25__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(C,k1_nat_1(E,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,E)) ) & k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,k1_nat_1(E,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(D,E)) ) ) => C = D ) ) )).
fof(s15_nat_1__e29_4__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(C,k1_nat_1(E,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,E)) ) & k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,k1_nat_1(E,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(D,E)) ) ) => C = D ) ) )).
fof(s15_nat_1__e29_4__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(C,k1_nat_1(E,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,E)) ) & k9_xtuple_0(D) = k4_ordinal1 & k1_funct_1(D,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,k1_nat_1(E,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(D,E)) ) ) => C = D ) ) )).
fof(s15_ordinal2__e2_23__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k1_ordinal5(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = 1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k12_ordinal2(A,k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k8_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k1_ordinal5(A,k1_ordinal1(B)) = k12_ordinal2(A,k1_ordinal5(A,B)) ) ) ) )).
fof(s15_ordinal2__e2_58__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k10_ordinal2(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k1_ordinal1(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k4_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k10_ordinal2(A,k1_ordinal1(B)) = k1_ordinal1(k10_ordinal2(A,B)) ) ) ) )).
fof(s15_ordinal2__e2_60__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( B = k3_ordinal5(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_ordinal5(k4_ordinal1,k4_ordinal1) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k1_ordinal5(k1_funct_1(C,D),k4_ordinal1) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k8_ordinal2(k5_relat_1(C,D)) ) ) ) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k3_ordinal5(k1_ordinal1(A)) = k1_ordinal5(k3_ordinal5(A),k4_ordinal1) ) )).
fof(s15_ordinal2__e2_66__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k11_ordinal2(B,A) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = k5_ordinal1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k10_ordinal2(k1_funct_1(D,E),A) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_tarski(k4_ordinal2(k5_relat_1(D,E))) ) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k11_ordinal2(k1_ordinal1(B),A) = k10_ordinal2(k11_ordinal2(B,A),A) ) ) ) )).
fof(s15_ordinal2__e2_74__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( C = k12_ordinal2(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = 1 & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k11_ordinal2(A,k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k8_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k12_ordinal2(A,k1_ordinal1(B)) = k11_ordinal2(A,k12_ordinal2(A,B)) ) ) ) )).
fof(s16_nat_1__e12_23__extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & m1_subset_1(D,k4_card_3(k2_memstr_0(A,B))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_card_3(k2_memstr_0(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(A,B))))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_card_3(k2_memstr_0(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_card_3(k2_memstr_0(A,B))))) ) => ( ( k3_funct_2(k4_ordinal1,k4_card_3(k2_memstr_0(A,B)),E,k5_numbers) = D & ! [G] : ( v7_ordinal1(G) => k3_funct_2(k4_ordinal1,k4_card_3(k2_memstr_0(A,B)),E,k1_nat_1(G,1)) = k13_card_3(u1_struct_0(B),k2_memstr_0(A,B),k4_extpro_1(A,B,k1_funct_1(E,G),C)) ) & k3_funct_2(k4_ordinal1,k4_card_3(k2_memstr_0(A,B)),F,k5_numbers) = D & ! [G] : ( v7_ordinal1(G) => k3_funct_2(k4_ordinal1,k4_card_3(k2_memstr_0(A,B)),F,k1_nat_1(G,1)) = k13_card_3(u1_struct_0(B),k2_memstr_0(A,B),k4_extpro_1(A,B,k1_funct_1(F,G),C)) ) ) => r2_funct_2(k4_ordinal1,k4_card_3(k2_memstr_0(A,B)),E,F) ) ) )).
fof(s16_ordinal2__e5_24__ordinal5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( E = k1_ordinal5(A,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & v1_ordinal2(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = 1 & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k12_ordinal2(A,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k8_ordinal2(k5_relat_1(F,G)) ) ) ) ) ) ) ) & B != k5_ordinal1 & v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k1_ordinal5(A,D) ) ) ) => k1_ordinal5(A,B) = k8_ordinal2(C) ) ) )).
fof(s16_ordinal2__e5_59__ordinal2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( E = k10_ordinal2(A,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & v1_ordinal2(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = A & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_ordinal1(k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k4_ordinal2(k5_relat_1(F,G)) ) ) ) ) ) ) ) & B != k5_ordinal1 & v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k10_ordinal2(A,D) ) ) ) => k10_ordinal2(A,B) = k4_ordinal2(C) ) ) )).
fof(s16_ordinal2__e5_61__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( D = k3_ordinal5(C) <=> ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_ordinal2(E) & D = k1_ordinal2(E) & k9_xtuple_0(E) = k1_ordinal1(C) & k1_funct_1(E,k5_ordinal1) = k1_ordinal5(k4_ordinal1,k4_ordinal1) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(k1_ordinal1(F),k1_ordinal1(C)) => k1_funct_1(E,k1_ordinal1(F)) = k1_ordinal5(k1_funct_1(E,F),k4_ordinal1) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(F,k1_ordinal1(C)) & v4_ordinal1(F) ) => ( F = k5_ordinal1 | k1_funct_1(E,F) = k8_ordinal2(k5_relat_1(E,F)) ) ) ) ) ) ) ) & A != k5_ordinal1 & v4_ordinal1(A) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_ordinal5(C) ) ) ) => k3_ordinal5(A) = k8_ordinal2(B) ) ) )).
fof(s16_ordinal2__e5_67__ordinal2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( E = k11_ordinal2(D,A) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & v1_ordinal2(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = k5_ordinal1 & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k10_ordinal2(k1_funct_1(F,G),A) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k3_tarski(k4_ordinal2(k5_relat_1(F,G))) ) ) ) ) ) ) ) & B != k5_ordinal1 & v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k11_ordinal2(D,A) ) ) ) => k11_ordinal2(B,A) = k3_tarski(k4_ordinal2(C)) ) ) )).
fof(s16_ordinal2__e5_75__ordinal2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( E = k12_ordinal2(A,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & v1_ordinal2(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = 1 & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k11_ordinal2(A,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k8_ordinal2(k5_relat_1(F,G)) ) ) ) ) ) ) ) & B != k5_ordinal1 & v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) => k12_ordinal2(A,B) = k8_ordinal2(C) ) ) )).
fof(s17_fraenkel__e1_33__convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => r1_tarski(a_1_2_convfun1(A),k4_finseq_1(A)) ) )).
fof(s17_fraenkel__e2_26__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) & m1_subset_1(D,k4_partfun1(A,B)) ) => r1_tarski(a_4_12_heyting2(A,B,C,D),C) ) )).
fof(s17_fraenkel__e2_32__chain_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) ) => r1_tarski(a_2_2_chain_1(A,B),A) ) )).
fof(s17_fraenkel__e2_33__chain_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) ) => r1_tarski(a_2_3_chain_1(A,B),A) ) )).
fof(s17_fraenkel__e2_93__closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v15_closure2(B,A) & l1_closure2(B,A) & m1_closure2(C,u1_struct_0(A),u3_msualg_1(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) ) => r1_tarski(a_3_8_closure2(A,B,C),u1_closure2(A,B)) ) )).
fof(s17_fraenkel__e3_38__heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m1_subset_1(C,u1_struct_0(k11_normform(A))) ) => r1_tarski(a_3_24_heyting1(A,B,C),C) ) )).
fof(s17_fraenkel__e5_33__convfun1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => r1_tarski(a_1_3_convfun1(A),k4_finseq_1(A)) ) )).
fof(s17_fraenkel__e5_97_1__closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v15_closure2(B,A) & l1_closure2(B,A) & m1_closure2(C,u1_struct_0(A),u3_msualg_1(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) ) => r1_tarski(a_3_8_closure2(A,B,C),u1_closure2(A,B)) ) )).
fof(s17_nat_1__e5_16__scmisort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v1_funct_2(E,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(F,1)))) & k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F)) != k5_numbers ) ) => ? [F] : ( v7_ordinal1(F) & k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F)) = k5_numbers & ! [G] : ( v7_ordinal1(G) => ( k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),G)) = k5_numbers => r1_xxreal_0(F,G) ) ) ) ) ) )).
fof(s17_ordinal2__e11_59__classes1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( ( r1_tarski(k1_funct_1(B,k5_ordinal1),A) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k1_funct_1(B,D),A) => r1_tarski(k1_funct_1(B,k1_ordinal1(D)),A) ) ) ) => r1_tarski(k1_funct_1(B,C),A) ) ) )).
fof(s17_ordinal2__e3_44__card_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ ( k5_ordinal1 != k1_xboole_0 & ! [B] : ( v7_ordinal1(B) => k5_ordinal1 != k1_ordinal1(B) ) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( C != k1_xboole_0 & ! [D] : ( v7_ordinal1(D) => C != k1_ordinal1(D) ) ) => ~ ( k1_ordinal1(C) != k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => k1_ordinal1(C) != k1_ordinal1(E) ) ) ) ) ) => ~ ( A != k1_xboole_0 & ! [F] : ( v7_ordinal1(F) => A != k1_ordinal1(F) ) ) ) ) )).
fof(s17_ordinal2__e3_45__card_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( v7_ordinal1(B) => ( r2_wellord2(B,k5_ordinal1) => B = k5_ordinal1 ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r2_wellord2(D,C) => D = C ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_wellord2(E,k1_ordinal1(C)) => E = k1_ordinal1(C) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_wellord2(F,A) => F = A ) ) ) ) )).
fof(s17_ordinal2__e3_64__card_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( v3_ordinal1(B) => ( r2_wellord2(B,k5_ordinal1) => B = k5_ordinal1 ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_wellord2(D,C) => D = C ) ) => ! [E] : ( v3_ordinal1(E) => ( r2_wellord2(E,k1_ordinal1(C)) => E = k1_ordinal1(C) ) ) ) ) ) => ! [F] : ( v3_ordinal1(F) => ( r2_wellord2(F,A) => F = A ) ) ) ) )).
fof(s17_ordinal2__e6_66__arytm_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k2_arytm_2)) & v3_ordinal1(B) & v7_ordinal1(B) ) => ( ( r2_tarski(k5_ordinal1,A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,A) => r2_tarski(k1_ordinal1(C),A) ) ) ) => r2_tarski(B,A) ) ) )).
fof(s17_recdef_1__e10_32_1_1_1__convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m2_finseq_1(B,k6_numbers) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(k4_convfun1)) => D != k12_supinf_2(B,C) ) ) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(k4_convfun1)) & k4_finseq_1(C) = k2_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => k7_partfun1(u1_struct_0(k4_convfun1),C,D) = k12_supinf_2(B,D) ) ) ) ) ) )).
fof(s17_recdef_1__e19_21_3_1__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))) & v1_polynom1(D,k12_polynom1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))) & v1_polynom1(E,k12_polynom1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))))) & m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) & m2_finseq_1(H,u1_struct_0(k12_polynom1(B,C))) ) => ( ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k2_finseq_1(k3_finseq_1(H))) & ! [J] : ( m1_subset_1(J,k3_finseq_2(u1_struct_0(C))) => ~ ? [K] : ( v1_relat_1(K) & v4_relat_1(K,A) & v1_funct_1(K) & v1_partfun1(K,A) & v4_valued_0(K) & v2_pre_poly(K) & ? [L] : ( v1_relat_1(L) & v4_relat_1(L,A) & v1_funct_1(L) & v1_partfun1(L,A) & v4_valued_0(L) & v2_pre_poly(L) & ? [M] : ( m2_finseq_1(M,u1_struct_0(C)) & ? [N] : ( v1_funct_1(N) & v1_funct_2(N,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(N,C) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & ? [O] : ( v1_funct_1(O) & v1_funct_2(O,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(O,C) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & N = k4_polynom1(A,k12_polynom1(B,C),D,K) & O = k4_polynom1(A,k12_polynom1(B,C),E,L) & M = J & k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,G),I) = k10_finseq_1(K,L) & k3_finseq_1(M) = k3_finseq_1(k21_pre_poly(B,F)) & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(M)) & ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,B) & v1_funct_1(Q) & v1_partfun1(Q,B) & v4_valued_0(Q) & v2_pre_poly(Q) ) => ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,B) & v1_funct_1(R) & v1_partfun1(R,B) & v4_valued_0(R) & v2_pre_poly(R) ) => ~ ( k9_pre_poly(k15_pre_poly(B),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(B)),k21_pre_poly(B,F),P) = k10_finseq_1(Q,R) & k7_partfun1(u1_struct_0(C),M,P) = k6_algstr_0(C,k4_polynom1(B,C,N,Q),k4_polynom1(B,C,O,R)) ) ) ) ) ) ) ) ) ) ) ) ) ) => ? [I] : ( m2_finseq_1(I,k3_finseq_2(u1_struct_0(C))) & k4_finseq_1(I) = k2_finseq_1(k3_finseq_1(H)) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k2_finseq_1(k3_finseq_1(H))) => ? [S] : ( v1_relat_1(S) & v4_relat_1(S,A) & v1_funct_1(S) & v1_partfun1(S,A) & v4_valued_0(S) & v2_pre_poly(S) & ? [T] : ( v1_relat_1(T) & v4_relat_1(T,A) & v1_funct_1(T) & v1_partfun1(T,A) & v4_valued_0(T) & v2_pre_poly(T) & ? [U] : ( m2_finseq_1(U,u1_struct_0(C)) & ? [V] : ( v1_funct_1(V) & v1_funct_2(V,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(V,C) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & ? [W] : ( v1_funct_1(W) & v1_funct_2(W,k15_pre_poly(B),u1_struct_0(C)) & v1_polynom1(W,C) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & V = k4_polynom1(A,k12_polynom1(B,C),D,S) & W = k4_polynom1(A,k12_polynom1(B,C),E,T) & U = k7_partfun1(k3_finseq_2(u1_struct_0(C)),I,J) & k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,G),J) = k10_finseq_1(S,T) & k3_finseq_1(U) = k3_finseq_1(k21_pre_poly(B,F)) & ! [X] : ( v7_ordinal1(X) => ~ ( r2_tarski(X,k4_finseq_1(U)) & ! [Y] : ( ( v1_relat_1(Y) & v4_relat_1(Y,B) & v1_funct_1(Y) & v1_partfun1(Y,B) & v4_valued_0(Y) & v2_pre_poly(Y) ) => ! [Z] : ( ( v1_relat_1(Z) & v4_relat_1(Z,B) & v1_funct_1(Z) & v1_partfun1(Z,B) & v4_valued_0(Z) & v2_pre_poly(Z) ) => ~ ( k9_pre_poly(k15_pre_poly(B),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(B)),k21_pre_poly(B,F),X) = k10_finseq_1(Y,Z) & k7_partfun1(u1_struct_0(C),U,X) = k6_algstr_0(C,k4_polynom1(B,C,V,Y),k4_polynom1(B,C,W,Z)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e2_28_2__ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & v1_xreal_0(C) & m1_subset_1(D,k1_numbers) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(A)) & ! [F] : ( m1_subset_1(F,k1_numbers) => F != k1_funct_1(k1_pdiff_1(1,1),k1_rlvect_1(k4_real_ns1(1),k1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(E,A)),C),D)) ) ) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k4_finseq_1(E) = k2_finseq_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(A)) => k7_partfun1(k1_numbers,E,F) = k1_funct_1(k1_pdiff_1(1,1),k1_rlvect_1(k4_real_ns1(1),k1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(F,A)),C),D)) ) ) ) ) ) )).
fof(s17_recdef_1__e2_62__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_ideal_1(C,A,B) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ~ ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & E = k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F,G,H) & r2_tarski(G,B) & k7_partfun1(u1_struct_0(A),C,D) = k6_algstr_0(A,k6_algstr_0(A,F,G),H) ) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),D,E) = k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I,J,K) & r2_tarski(J,B) & k7_partfun1(u1_struct_0(A),C,E) = k6_algstr_0(A,k6_algstr_0(A,I,J),K) ) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e2_65__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_ideal_1(C,A,B) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ~ ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & E = k1_domain_1(u1_struct_0(A),u1_struct_0(A),F,G) & r2_tarski(G,B) & k7_partfun1(u1_struct_0(A),C,D) = k6_algstr_0(A,F,G) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),H,I) & r2_tarski(I,B) & k7_partfun1(u1_struct_0(A),C,E) = k6_algstr_0(A,H,I) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e2_68__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m3_ideal_1(C,A,B) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ~ ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & E = k1_domain_1(u1_struct_0(A),u1_struct_0(A),F,G) & r2_tarski(F,B) & k7_partfun1(u1_struct_0(A),C,D) = k6_algstr_0(A,F,G) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),H,I) & r2_tarski(H,B) & k7_partfun1(u1_struct_0(A),C,E) = k6_algstr_0(A,H,I) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e38_21_3_1__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) & m2_subset_1(D,k14_pre_poly(B),k15_pre_poly(B)) & v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) & m2_finseq_1(F,u1_struct_0(k12_polynom1(B,C))) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(F))) & ! [H] : ( m1_subset_1(H,k3_finseq_2(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))))) => ~ ? [I] : ( m2_subset_1(I,k14_pre_poly(A),k15_pre_poly(A)) & ? [J] : ( m2_subset_1(J,k14_pre_poly(A),k15_pre_poly(A)) & ? [K] : ( m2_finseq_1(K,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) & K = H & k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,E),G) = k2_polynom3(k15_pre_poly(A),I,J) & k3_finseq_1(K) = k3_finseq_1(k21_pre_poly(B,D)) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( m2_subset_1(M,k14_pre_poly(B),k15_pre_poly(B)) => ! [N] : ( m2_subset_1(N,k14_pre_poly(B),k15_pre_poly(B)) => ~ ( k9_pre_poly(k15_pre_poly(B),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(B)),k21_pre_poly(B,D),L) = k2_polynom3(k15_pre_poly(B),M,N) & k9_pre_poly(k15_pre_poly(k10_ordinal2(A,B)),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))),K,L) = k2_polynom3(k15_pre_poly(k10_ordinal2(A,B)),k1_polynom6(A,B,I,M),k1_polynom6(A,B,J,N)) ) ) ) ) ) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k3_finseq_2(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))))) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(F)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(F))) => ? [O] : ( m2_subset_1(O,k14_pre_poly(A),k15_pre_poly(A)) & ? [P] : ( m2_subset_1(P,k14_pre_poly(A),k15_pre_poly(A)) & ? [Q] : ( m2_finseq_1(Q,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) & Q = k7_partfun1(k3_finseq_2(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))),G,H) & k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,E),H) = k2_polynom3(k15_pre_poly(A),O,P) & k3_finseq_1(Q) = k3_finseq_1(k21_pre_poly(B,D)) & ! [R] : ( v7_ordinal1(R) => ~ ( r2_tarski(R,k4_finseq_1(Q)) & ! [S] : ( m2_subset_1(S,k14_pre_poly(B),k15_pre_poly(B)) => ! [T] : ( m2_subset_1(T,k14_pre_poly(B),k15_pre_poly(B)) => ~ ( k9_pre_poly(k15_pre_poly(B),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(B)),k21_pre_poly(B,D),R) = k2_polynom3(k15_pre_poly(B),S,T) & k9_pre_poly(k15_pre_poly(k10_ordinal2(A,B)),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))),Q,R) = k2_polynom3(k15_pre_poly(k10_ordinal2(A,B)),k1_polynom6(A,B,O,S),k1_polynom6(A,B,P,T)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e3_156_1_1_1__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & v6_ideal_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_ideal_1(C,A,B) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,B) => ~ ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & k7_partfun1(u1_struct_0(A),C,D) = k6_algstr_0(A,k6_algstr_0(A,F,E),G) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,B) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k7_partfun1(u1_struct_0(A),C,E) = k6_algstr_0(A,k6_algstr_0(A,H,k7_partfun1(B,D,E)),I) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e3_15__extreal1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k1_nat_1(A,1))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( ( ~ r1_xxreal_0(B,C) => D = C ) & ( C = B => D = k1_nat_1(A,1) ) & ( ~ r1_xxreal_0(C,B) => D = k6_xcmplx_0(C,1) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k4_ordinal1) & k4_finseq_1(C) = k2_finseq_1(k1_nat_1(A,1)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k1_nat_1(A,1))) => ( ( ~ r1_xxreal_0(B,D) => k7_partfun1(k4_ordinal1,C,D) = D ) & ( D = B => k7_partfun1(k4_ordinal1,C,D) = k1_nat_1(A,1) ) & ( ~ r1_xxreal_0(D,B) => k7_partfun1(k4_ordinal1,C,D) = k6_xcmplx_0(D,1) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e3_20_1__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & m2_finseq_1(C,k3_finseq_2(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))))) & v7_ordinal1(D) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(k1_funct_1(C,D)))) & ! [F] : ( m1_subset_1(F,k15_pre_poly(k10_ordinal2(A,B))) => ~ ? [G] : ( m2_finseq_2(G,k15_pre_poly(k10_ordinal2(A,B)),k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) & G = k1_funct_1(k1_funct_1(C,D),E) & F = k1_funct_1(G,1) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k15_pre_poly(k10_ordinal2(A,B))) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(k1_funct_1(C,D))) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(k1_funct_1(C,D)))) => ? [H] : ( m2_finseq_2(H,k15_pre_poly(k10_ordinal2(A,B)),k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) & H = k1_funct_1(k1_funct_1(C,D),F) & k7_partfun1(k15_pre_poly(k10_ordinal2(A,B)),E,F) = k1_funct_1(H,1) ) ) ) ) ) ) )).
fof(s17_recdef_1__e3_45_1__integr19,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,k1_numbers) => ~ ! [E] : ~ ( r2_tarski(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,B,k1_pdiff_1(C,A)))) & r1_xxreal_0(D,k9_complex1(k1_funct_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,B,k1_pdiff_1(C,A)),E))) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k4_finseq_1(C) = k2_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => ! [F] : ~ ( r2_tarski(F,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,B,k1_pdiff_1(D,A)))) & r1_xxreal_0(k7_partfun1(k1_numbers,C,D),k9_complex1(k1_funct_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,B,k1_pdiff_1(D,A)),F))) ) ) ) ) ) ) )).
fof(s17_recdef_1__e4_20__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & m2_finseq_1(C,k3_finseq_2(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))))) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k3_finseq_2(k15_pre_poly(k10_ordinal2(A,B)))) => ~ ( k9_xtuple_0(E) = k4_finseq_1(k1_funct_1(C,D)) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k9_xtuple_0(E)) & ! [G] : ( m2_finseq_2(G,k15_pre_poly(k10_ordinal2(A,B)),k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) => ~ ( G = k1_funct_1(k1_funct_1(C,D),F) & k1_funct_1(E,F) = k1_funct_1(G,1) ) ) ) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k3_finseq_2(k15_pre_poly(k10_ordinal2(A,B)))) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ( k9_xtuple_0(k7_partfun1(k3_finseq_2(k15_pre_poly(k10_ordinal2(A,B))),D,E)) = k4_finseq_1(k1_funct_1(C,E)) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k9_xtuple_0(k7_partfun1(k3_finseq_2(k15_pre_poly(k10_ordinal2(A,B))),D,E))) & ! [I] : ( m2_finseq_2(I,k15_pre_poly(k10_ordinal2(A,B)),k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) => ~ ( I = k1_funct_1(k1_funct_1(C,E),H) & k1_funct_1(k7_partfun1(k3_finseq_2(k15_pre_poly(k10_ordinal2(A,B))),D,E),H) = k1_funct_1(I,1) ) ) ) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e4_28__ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & v1_xreal_0(C) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(A)) & ! [E] : ( m1_subset_1(E,k1_numbers) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & r1_tarski(k2_rcomp_1(k6_xcmplx_0(C,E),k2_xcmplx_0(C,E)),k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(D,A)))) & ? [F] : ( v1_funct_1(F) & v1_ndiff_3(F,k4_real_ns1(1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(1))))) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k2_rcomp_1(k6_xcmplx_0(C,E),k2_xcmplx_0(C,E))) => k5_algstr_0(k4_real_ns1(1),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(D,A)),G),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(D,A)),C)) = k3_rlvect_1(k4_real_ns1(1),k1_rlvect_1(k4_real_ns1(1),k1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(D,A)),C),k6_xcmplx_0(G,C)),k7_partfun1(u1_struct_0(k4_real_ns1(1)),F,k6_xcmplx_0(G,C))) ) ) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => ( ~ r1_xxreal_0(k7_partfun1(k1_numbers,D,E),k5_numbers) & r1_tarski(k2_rcomp_1(k6_xcmplx_0(C,k7_partfun1(k1_numbers,D,E)),k2_xcmplx_0(C,k7_partfun1(k1_numbers,D,E))),k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(E,A)))) & ? [H] : ( v1_funct_1(H) & v1_ndiff_3(H,k4_real_ns1(1)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(1))))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,k2_rcomp_1(k6_xcmplx_0(C,k7_partfun1(k1_numbers,D,E)),k2_xcmplx_0(C,k7_partfun1(k1_numbers,D,E)))) => k5_algstr_0(k4_real_ns1(1),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(E,A)),I),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(E,A)),C)) = k3_rlvect_1(k4_real_ns1(1),k1_rlvect_1(k4_real_ns1(1),k1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(E,A)),C),k6_xcmplx_0(I,C)),k7_partfun1(u1_struct_0(k4_real_ns1(1)),H,k6_xcmplx_0(I,C))) ) ) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e4_60__uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(k1_complfld))) => ~ ? [D] : ( ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) & D = B & ( ~ r1_nat_d(D,A) => C = k2_algseq_1(k1_complfld,k1_group_1(k1_complfld)) ) & ( r1_nat_d(D,A) => C = k5_uniroots(D) ) ) ) ) ) => ? [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(k1_complfld))) & k4_finseq_1(B) = k2_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(A)) => ? [E] : ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) & E = C & ( ~ r1_nat_d(E,A) => k7_partfun1(u1_struct_0(k13_polynom3(k1_complfld)),B,C) = k2_algseq_1(k1_complfld,k1_group_1(k1_complfld)) ) & ( r1_nat_d(E,A) => k7_partfun1(u1_struct_0(k13_polynom3(k1_complfld)),B,C) = k5_uniroots(E) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e5_32_1_1_1__convfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k6_numbers))) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) & m2_finseq_1(D,u1_struct_0(A)) & ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & l1_rlvect_1(E) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(C)) & ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => G != k1_domain_1(u1_struct_0(A),k6_numbers,k7_partfun1(u1_struct_0(A),D,F),k12_supinf_2(B,k7_partfun1(u1_struct_0(A),D,F))) ) ) ) => ? [F] : ( m2_finseq_1(F,u1_struct_0(E)) & k4_finseq_1(F) = k2_finseq_1(C) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(C)) => k7_partfun1(u1_struct_0(E),F,G) = k1_domain_1(u1_struct_0(A),k6_numbers,k7_partfun1(u1_struct_0(A),D,G),k12_supinf_2(B,k7_partfun1(u1_struct_0(A),D,G))) ) ) ) ) ) )).
fof(s17_recdef_1__e6_28_6__ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & m1_subset_1(C,k1_numbers) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(A)) & ! [E] : ( m1_subset_1(E,k1_numbers) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( F != k5_numbers & ~ r1_xxreal_0(E,k9_complex1(F)) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(F)),k2_normsp_0(k4_real_ns1(1),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(D,A)),F)))) ) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => ( ~ r1_xxreal_0(k7_partfun1(k1_numbers,D,E),k5_numbers) & ! [G] : ( v1_xreal_0(G) => ~ ( G != k5_numbers & ~ r1_xxreal_0(k7_partfun1(k1_numbers,D,E),k9_complex1(G)) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(G)),k2_normsp_0(k4_real_ns1(1),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(E,A)),G)))) ) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e6_5__uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k1_complfld))) & m1_subset_1(B,u1_struct_0(k1_complfld)) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k4_card_1(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => ~ ? [E] : ( m1_subset_1(E,u1_struct_0(k1_complfld)) & E = k1_funct_1(k19_finseq_1(A),C) & D = k2_polynom4(k1_complfld,k5_polynom5(k1_complfld,k4_algstr_0(k1_complfld,E),k1_group_1(k1_complfld)),B) ) ) ) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(k1_complfld)) & k4_finseq_1(C) = k2_finseq_1(k4_card_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k4_card_1(A))) => ? [F] : ( m1_subset_1(F,u1_struct_0(k1_complfld)) & F = k1_funct_1(k19_finseq_1(A),D) & k7_partfun1(u1_struct_0(k1_complfld),C,D) = k2_polynom4(k1_complfld,k5_polynom5(k1_complfld,k4_algstr_0(k1_complfld,F),k1_group_1(k1_complfld)),B) ) ) ) ) ) ) )).
fof(s17_recdef_1__e7_156_1_1_2__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & v6_ideal_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_ideal_1(C,A,B) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,B) => ~ ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & k7_partfun1(u1_struct_0(A),C,D) = k6_algstr_0(A,k6_algstr_0(A,F,E),G) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,B) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k7_partfun1(u1_struct_0(A),C,E) = k6_algstr_0(A,k6_algstr_0(A,H,k7_partfun1(B,D,E)),I) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e8_21_3_1_8__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) & m2_subset_1(C,k14_pre_poly(B),k15_pre_poly(B)) & m2_subset_1(D,k14_pre_poly(A),k15_pre_poly(A)) & m2_subset_1(E,k14_pre_poly(A),k15_pre_poly(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(k21_pre_poly(B,C)))) & ! [G] : ( m1_subset_1(G,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) => ~ ? [H] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & ? [I] : ( m2_subset_1(I,k14_pre_poly(B),k15_pre_poly(B)) & k9_pre_poly(k15_pre_poly(B),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(B)),k21_pre_poly(B,C),F) = k2_polynom3(k15_pre_poly(B),H,I) & G = k2_polynom3(k15_pre_poly(k10_ordinal2(A,B)),k1_polynom6(A,B,D,H),k1_polynom6(A,B,E,I)) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(k21_pre_poly(B,C))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k21_pre_poly(B,C)))) => ? [J] : ( m2_subset_1(J,k14_pre_poly(B),k15_pre_poly(B)) & ? [K] : ( m2_subset_1(K,k14_pre_poly(B),k15_pre_poly(B)) & k9_pre_poly(k15_pre_poly(B),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(B)),k21_pre_poly(B,C),G) = k2_polynom3(k15_pre_poly(B),J,K) & k7_partfun1(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))),F,G) = k2_polynom3(k15_pre_poly(k10_ordinal2(A,B)),k1_polynom6(A,B,D,J),k1_polynom6(A,B,E,K)) ) ) ) ) ) ) ) )).
fof(s17_recdef_1__e9_21_3_1_3__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(k21_pre_poly(A,C)))) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ? [H] : ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & v4_valued_0(H) & v2_pre_poly(H) & ? [I] : ( v1_relat_1(I) & v4_relat_1(I,A) & v1_funct_1(I) & v1_partfun1(I,A) & v4_valued_0(I) & v2_pre_poly(I) & k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,C),F) = k10_finseq_1(H,I) & G = k6_algstr_0(B,k4_polynom1(A,B,D,H),k4_polynom1(A,B,E,I)) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(k21_pre_poly(A,C))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k21_pre_poly(A,C)))) => ? [J] : ( v1_relat_1(J) & v4_relat_1(J,A) & v1_funct_1(J) & v1_partfun1(J,A) & v4_valued_0(J) & v2_pre_poly(J) & ? [K] : ( v1_relat_1(K) & v4_relat_1(K,A) & v1_funct_1(K) & v1_partfun1(K,A) & v4_valued_0(K) & v2_pre_poly(K) & k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,C),G) = k10_finseq_1(J,K) & k7_partfun1(u1_struct_0(B),F,G) = k6_algstr_0(B,k4_polynom1(A,B,D,J),k4_polynom1(A,B,E,K)) ) ) ) ) ) ) ) )).
fof(s18_fraenkel__e10_38__heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m1_subset_1(C,u1_struct_0(k11_normform(A))) ) => r1_xboole_0(a_3_28_heyting1(A,B,C),k7_normform(A)) ) )).
fof(s18_ordinal2__e2_58__classes1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & k1_funct_1(B,k5_ordinal1) = A & ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,k1_ordinal1(C)) = k3_tarski(k1_funct_1(B,C)) ) ) )).
fof(s18_recdef_1__e6_62__ltlaxio3,axiom,( ! [A] : ! [B] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & v2_funct_1(B) & m2_finseq_1(B,k1_hilbert1) ) => ( ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k6_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),1)) ) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ? [E] : ( m1_subset_1(E,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & ( ~ v2_ltlaxio3(D) => ( ( ~ v2_ltlaxio3(k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1,k8_ltlaxio3(D),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,C))),k9_ltlaxio3(D))) => E = k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1,k8_ltlaxio3(D),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,C))),k9_ltlaxio3(D)) ) & ( v2_ltlaxio3(k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1,k8_ltlaxio3(D),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,C))),k9_ltlaxio3(D))) => E = k11_ltlaxio3(k8_ltlaxio3(D),k3_ltlaxio3(k1_hilbert1,k9_ltlaxio3(D),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,C)))) ) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & k3_finseq_1(C) = k1_nat_1(k3_finseq_1(B),1) & ( k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,1) = A | k1_nat_1(k3_finseq_1(B),1) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),1)) ) => ( ~ v2_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)) => ( ( ~ v2_ltlaxio3(k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,D))),k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)))) => k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,k1_nat_1(D,1)) = k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,D))),k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D))) ) & ( v2_ltlaxio3(k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,D))),k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)))) => k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,k1_nat_1(D,1)) = k11_ltlaxio3(k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)),k3_ltlaxio3(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),C,D)),k12_finseq_1(k1_hilbert1,k7_partfun1(k1_hilbert1,B,D)))) ) ) ) ) ) ) ) ) )).
fof(s19_yellow18__e10_74__waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v9_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & v2_yellow18(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v9_altcat_1(C) & v11_altcat_1(C) & v12_altcat_1(C) & v2_yellow18(C) & l2_altcat_1(C) ) => ( ( u1_struct_0(B) = u1_struct_0(k8_waybel34(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_altcat_1(B,D,E) = k1_binop_1(u1_altcat_1(k8_waybel34(A)),D,E) ) ) & u1_struct_0(C) = u1_struct_0(k8_waybel34(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k1_altcat_1(C,D,E) = k1_binop_1(u1_altcat_1(k8_waybel34(A)),D,E) ) ) ) => g2_altcat_1(u1_struct_0(B),u1_altcat_1(B),u2_altcat_1(B)) = g2_altcat_1(u1_struct_0(C),u1_altcat_1(C),u2_altcat_1(C)) ) ) ) ) )).
fof(s1_abcmiz_0__e3_105__abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & ~ v4_abcmiz_0(A) & l3_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_abcmiz_0(A))) ) => ( ? [D] : ( v1_finset_1(D) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_abcmiz_0(A))) & D = E & r1_tarski(D,C) & r6_abcmiz_0(A,B,E) & k6_abcmiz_0(A,B,C) = k6_abcmiz_0(A,B,E) ) ) => ? [D] : ( v1_finset_1(D) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_abcmiz_0(A))) & D = F & r1_tarski(D,C) & r6_abcmiz_0(A,B,F) & k6_abcmiz_0(A,B,C) = k6_abcmiz_0(A,B,F) ) & ! [G] : ( ( r1_tarski(G,D) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_abcmiz_0(A))) & G = H & r1_tarski(G,C) & r6_abcmiz_0(A,B,H) & k6_abcmiz_0(A,B,C) = k6_abcmiz_0(A,B,H) ) ) => G = D ) ) ) ) )).
fof(s1_absred_0__e4_12_1__absred_0,axiom,( ! [A] : ! [B] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,C,D) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r3_absred_0(A,B,E) & r1_absred_0(A,E,C) ) ) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r3_absred_0(A,B,F) & r1_absred_0(A,F,D) ) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_absred_0(A,C,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r3_absred_0(A,B,G) & r1_absred_0(A,G,C) ) ) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r3_absred_0(A,B,H) & r1_absred_0(A,H,D) ) ) ) ) ) ) )).
fof(s1_absred_0__e4_70__absred_0,axiom,( ! [A] : ! [B] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,C,D) & r1_absred_0(A,C,B) ) => r1_absred_0(A,D,B) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_absred_0(A,C,D) & r1_absred_0(A,C,B) ) => r1_absred_0(A,D,B) ) ) ) ) ) )).
fof(s1_absred_0__e5_148__absred_0,axiom,( ! [A] : ! [B] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,C,D) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_absred_0(A,C,E) & r3_absred_0(A,B,E) ) ) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_absred_0(A,D,F) & r3_absred_0(A,B,F) ) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_absred_0(A,C,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_absred_0(A,C,G) & r3_absred_0(A,B,G) ) ) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_absred_0(A,D,H) & r3_absred_0(A,B,H) ) ) ) ) ) ) )).
fof(s1_algseq_1__e6_20__algseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_xxreal_0(k1_algseq_1(A,D),C) & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(C,E) => k1_funct_1(D,E) = B ) ) ) ) )).
fof(s1_altcat_2__e3_29__functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,k1_funct_1(D,E)) ) => ( v1_relat_1(a_6_0_functor0(A,B,C,D,E,F)) & v1_funct_1(a_6_0_functor0(A,B,C,D,E,F)) ) ) )).
fof(s1_aofa_000__e16_44__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_trees_4(D,u1_struct_0(A),C) ) => ( ( v1_finset_1(k2_relset_1(u1_struct_0(A),D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,k2_relset_1(u1_struct_0(A),D)) & ! [F] : ( v7_ordinal1(F) => ~ r2_tarski(E,k9_aofa_000(A,B,F)) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(E,k9_aofa_000(A,B,F)) & r1_xxreal_0(F,G) ) => r2_tarski(E,k9_aofa_000(A,B,G)) ) ) ) ) ) => ? [E] : ( v7_ordinal1(E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k2_relset_1(u1_struct_0(A),D)) => r2_tarski(F,k9_aofa_000(A,B,E)) ) ) ) ) ) )).
fof(s1_aofa_a00__e2_62__aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),u3_msualg_1(A,C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)) => m1_subset_1(a_6_2_aofa_a00(A,B,C,D,E,F),k1_zfmisc_1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),E))) ) ) ) => ? [D] : ( m2_aofa_a00(D,u1_struct_0(A),u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),u3_msualg_1(A,C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),E)) => k1_funct_1(k1_funct_1(k1_msafree4(u1_struct_0(A),D,E),G),F) = a_6_2_aofa_a00(A,B,C,E,F,G) ) ) ) ) ) ) )).
fof(s1_aofa_i00__e22_125__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) & m3_aofa_i00(I,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & m1_subset_1(J,u1_struct_0(A)) ) => ( ( J = k17_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,I),k74_aofa_i00(A,B,C,D,G,E),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)) & ? [K] : ( v7_ordinal1(K) & K = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,I)),G),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,I)),F) = k7_newton(K) ) & ! [L] : ( m2_funct_2(L,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( ? [M] : ( v7_ordinal1(M) & M = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,L,G),1) & k21_aofa_i00(B,k4_numbers,L,F) = k7_newton(M) ) => ( ? [N] : ( v7_ordinal1(N) & N = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1))),G),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1))),F) = k7_newton(N) ) & ? [O] : ( v7_ordinal1(O) & O = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k74_aofa_i00(A,B,C,D,G,E)),G),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k74_aofa_i00(A,B,C,D,G,E)),F) = k7_newton(O) ) ) ) ) & ! [L] : ( m2_funct_2(L,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( ? [P] : ( v7_ordinal1(P) & P = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,L,G),1) & k21_aofa_i00(B,k4_numbers,L,F) = k7_newton(P) ) => ( k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),G) = k21_aofa_i00(B,k4_numbers,L,G) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),E) = k21_aofa_i00(B,k4_numbers,L,E) ) ) ) & E != G & E != C & G != C ) => ( ? [Q] : ( v7_ordinal1(Q) & Q = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,J),G),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,J),F) = k7_newton(Q) ) & ( r1_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,I,H),k21_aofa_i00(B,k4_numbers,H,E)) => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,J),G) = k2_xcmplx_0(k21_aofa_i00(B,k4_numbers,H,E),1) ) & ( ~ r1_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,I,H),k21_aofa_i00(B,k4_numbers,H,E)) => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,J),G) = k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,I,H) ) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,J),E) = k21_aofa_i00(B,k4_numbers,H,E) ) ) ) )).
fof(s1_aofa_i00__e25_127__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(H,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(I,B,k4_numbers,k9_funct_2(B,k4_numbers)) & m2_funct_2(J,B,k4_numbers,k9_funct_2(B,k4_numbers)) & m3_aofa_i00(K,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & m1_subset_1(L,u1_struct_0(A)) ) => ( ( L = k17_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,K),k74_aofa_i00(A,B,C,D,H,F),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,1)) & ? [M] : ( v7_ordinal1(M) & M = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,K)),H),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,K)),G) = k1_newton(k21_aofa_i00(B,k4_numbers,I,E),M) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,K)),E) = k21_aofa_i00(B,k4_numbers,I,E) ) & ! [N] : ( m2_funct_2(N,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( ? [O] : ( v7_ordinal1(O) & O = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,N,H),1) & k21_aofa_i00(B,k4_numbers,N,G) = k1_newton(k21_aofa_i00(B,k4_numbers,I,E),O) & k21_aofa_i00(B,k4_numbers,N,E) = k21_aofa_i00(B,k4_numbers,I,E) ) => ( ? [P] : ( v7_ordinal1(P) & P = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,1))),H),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,1))),G) = k1_newton(k21_aofa_i00(B,k4_numbers,I,E),P) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,1))),E) = k21_aofa_i00(B,k4_numbers,I,E) ) & ? [Q] : ( v7_ordinal1(Q) & Q = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k74_aofa_i00(A,B,C,D,H,F)),H),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k74_aofa_i00(A,B,C,D,H,F)),G) = k1_newton(k21_aofa_i00(B,k4_numbers,I,E),Q) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k74_aofa_i00(A,B,C,D,H,F)),E) = k21_aofa_i00(B,k4_numbers,I,E) ) ) ) ) & ! [N] : ( m2_funct_2(N,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( ? [R] : ( v7_ordinal1(R) & R = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,N,H),1) & k21_aofa_i00(B,k4_numbers,N,G) = k1_newton(k21_aofa_i00(B,k4_numbers,I,E),R) & k21_aofa_i00(B,k4_numbers,N,E) = k21_aofa_i00(B,k4_numbers,I,E) ) => ( k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E)),H) = k21_aofa_i00(B,k4_numbers,N,H) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E)),F) = k21_aofa_i00(B,k4_numbers,N,F) ) ) ) & F != H & F != C & H != C ) => ( ? [S] : ( v7_ordinal1(S) & S = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),H),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),G) = k1_newton(k21_aofa_i00(B,k4_numbers,I,E),S) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),E) = k21_aofa_i00(B,k4_numbers,I,E) ) & ( r1_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,K,J),k21_aofa_i00(B,k4_numbers,J,F)) => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),H) = k2_xcmplx_0(k21_aofa_i00(B,k4_numbers,J,F),1) ) & ( ~ r1_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,K,J),k21_aofa_i00(B,k4_numbers,J,F)) => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),H) = k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,K,J) ) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),F) = k21_aofa_i00(B,k4_numbers,J,F) ) ) ) )).
fof(s1_aofa_i00__e41_129__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(H,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(I,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(J,B,k4_numbers,k9_funct_2(B,k4_numbers)) & m3_aofa_i00(K,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & m1_subset_1(L,u1_struct_0(A)) ) => ( ( L = k17_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,K),k74_aofa_i00(A,B,C,D,I,E),k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,F),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k81_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,H)),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,1)) & ? [M] : ( m1_subset_1(M,k4_ordinal1) & M = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,K)),I),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,K)),F) = k1_pre_ff(M) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,K)),G) = k1_pre_ff(k1_nat_1(M,1)) ) & ! [N] : ( m2_funct_2(N,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( ? [O] : ( m1_subset_1(O,k4_ordinal1) & O = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,N,I),1) & k21_aofa_i00(B,k4_numbers,N,F) = k1_pre_ff(O) & k21_aofa_i00(B,k4_numbers,N,G) = k1_pre_ff(k1_nat_1(O,1)) ) => ( ? [P] : ( m1_subset_1(P,k4_ordinal1) & P = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,F),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k81_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,H)),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,1))),I),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,F),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k81_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,H)),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,1))),F) = k1_pre_ff(P) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,F),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k81_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,H)),k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,I,1))),G) = k1_pre_ff(k1_nat_1(P,1)) ) & ? [Q] : ( m1_subset_1(Q,k4_ordinal1) & Q = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k74_aofa_i00(A,B,C,D,I,E)),I),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k74_aofa_i00(A,B,C,D,I,E)),F) = k1_pre_ff(Q) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k74_aofa_i00(A,B,C,D,I,E)),G) = k1_pre_ff(k1_nat_1(Q,1)) ) ) ) ) & ! [N] : ( m2_funct_2(N,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ( ? [R] : ( m1_subset_1(R,k4_ordinal1) & R = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,N,I),1) & k21_aofa_i00(B,k4_numbers,N,F) = k1_pre_ff(R) & k21_aofa_i00(B,k4_numbers,N,G) = k1_pre_ff(k1_nat_1(R,1)) ) => ( k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,F),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k81_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,H))),I) = k21_aofa_i00(B,k4_numbers,N,I) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,N,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,F),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k81_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,H))),E) = k21_aofa_i00(B,k4_numbers,N,E) ) ) ) & E != I & E != C & I != C ) => ( ? [S] : ( m1_subset_1(S,k4_ordinal1) & S = k6_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),I),1) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),F) = k1_pre_ff(S) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),G) = k1_pre_ff(k1_nat_1(S,1)) ) & ( r1_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,K,J),k21_aofa_i00(B,k4_numbers,J,E)) => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),I) = k2_xcmplx_0(k21_aofa_i00(B,k4_numbers,J,E),1) ) & ( ~ r1_xxreal_0(k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,K,J),k21_aofa_i00(B,k4_numbers,J,E)) => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),I) = k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,K,J) ) & k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,L),E) = k21_aofa_i00(B,k4_numbers,J,E) ) ) ) )).
fof(s1_arytm_3__e11_47_4_1_1_2_1_1_2__arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m1_subset_1(B,k5_arytm_3) & m1_subset_1(C,k5_arytm_3) ) => ( ( k12_arytm_3 = 1 & k11_arytm_3 = k11_arytm_3 & r2_tarski(C,k4_ordinal1) & r2_tarski(k10_arytm_3(k11_arytm_3,B),A) & ~ r2_tarski(k10_arytm_3(C,B),A) ) => ? [D] : ( m1_subset_1(D,k5_arytm_3) & r2_tarski(D,k4_ordinal1) & r2_tarski(k10_arytm_3(D,B),A) & ~ r2_tarski(k10_arytm_3(k9_arytm_3(D,k12_arytm_3),B),A) ) ) ) )).
fof(s1_arytm_3__e16_58_1_2_4_2_2__arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m1_subset_1(B,k5_arytm_3) & m1_subset_1(C,k5_arytm_3) & m1_subset_1(D,k5_arytm_3) ) => ( ( k12_arytm_3 = 1 & k11_arytm_3 = k11_arytm_3 & r2_tarski(D,k4_ordinal1) & r2_tarski(k10_arytm_3(k11_arytm_3,k10_arytm_3(B,C)),A) & ~ r2_tarski(k10_arytm_3(D,k10_arytm_3(B,C)),A) ) => ? [E] : ( m1_subset_1(E,k5_arytm_3) & r2_tarski(E,k4_ordinal1) & r2_tarski(k10_arytm_3(E,k10_arytm_3(B,C)),A) & ~ r2_tarski(k10_arytm_3(k9_arytm_3(E,k12_arytm_3),k10_arytm_3(B,C)),A) ) ) ) )).
fof(s1_arytm_3__e17_45__arytm_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(A,k1_zfmisc_1(k5_arytm_3),k1_arytm_2) & m1_subset_1(B,k5_arytm_3) & m1_subset_1(C,k5_arytm_3) ) => ( ( k12_arytm_3 = 1 & k11_arytm_3 = k11_arytm_3 & r2_tarski(C,k4_ordinal1) & r2_tarski(k10_arytm_3(k11_arytm_3,B),A) & ~ r2_tarski(k10_arytm_3(C,B),A) ) => ? [D] : ( m1_subset_1(D,k5_arytm_3) & r2_tarski(D,k4_ordinal1) & r2_tarski(k10_arytm_3(D,B),A) & ~ r2_tarski(k10_arytm_3(k9_arytm_3(D,k12_arytm_3),B),A) ) ) ) )).
fof(s1_asympt_0__e11_26__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(B,k5_nat_1(C,B)) => ( ~ v1_xboole_0(a_3_4_asympt_0(A,B,C)) & v1_finset_1(a_3_4_asympt_0(A,B,C)) & m1_subset_1(a_3_4_asympt_0(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) ) )).
fof(s1_asympt_0__e8_26__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(B,k5_nat_1(C,B)) => ( ~ v1_xboole_0(a_3_3_asympt_0(A,B,C)) & v1_finset_1(a_3_3_asympt_0(A,B,C)) & m1_subset_1(a_3_3_asympt_0(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) ) )).
fof(s1_binop_1__e22_17_1_2__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(E) & v7_ordinal1(F) & m2_finseq_1(G,k1_numbers) ) => ( ! [H] : ! [I] : ~ ( r2_hidden(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E)))) & r2_hidden(I,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [J] : ~ ( r2_hidden(J,u1_struct_0(A)) & ? [K] : ( v7_ordinal1(K) & ? [L] : ( v7_ordinal1(L) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & H = K & I = L & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,E),K)),k1_funct_1(G,K)) & J = k1_rlvect_1(A,M,k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,D,E),K),k2_integra1(B,k2_integra2(B,D,F),L)))) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E))),k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))),u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E))),k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))),u1_struct_0(A)))) & ! [I] : ! [J] : ( ( r2_hidden(I,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E)))) & r2_hidden(J,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) ) => ? [N] : ( v7_ordinal1(N) & ? [O] : ( v7_ordinal1(O) & ? [P] : ( m1_subset_1(P,u1_struct_0(A)) & I = N & J = O & P = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,E),N)),k1_funct_1(G,N)) & k1_binop_1(H,I,J) = k1_rlvect_1(A,P,k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,D,E),N),k2_integra1(B,k2_integra2(B,D,F),O)))) ) ) ) ) ) ) ) )).
fof(s1_binop_1__e2_1__prvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => ( ! [E] : ! [F] : ~ ( r2_hidden(E,k2_zfmisc_1(A,B)) & r2_hidden(F,k2_zfmisc_1(C,D)) & ! [G] : ~ ( r2_hidden(G,k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))) & ? [H] : ? [I] : ? [J] : ? [K] : ( r2_tarski(H,A) & r2_tarski(I,B) & r2_tarski(J,C) & r2_tarski(K,D) & E = k4_tarski(H,I) & F = k4_tarski(J,K) & G = k4_tarski(k4_tarski(H,J),k4_tarski(I,K)) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))))) & ! [F] : ! [G] : ( ( r2_hidden(F,k2_zfmisc_1(A,B)) & r2_hidden(G,k2_zfmisc_1(C,D)) ) => ? [L] : ? [M] : ? [N] : ? [O] : ( r2_tarski(L,A) & r2_tarski(M,B) & r2_tarski(N,C) & r2_tarski(O,D) & F = k4_tarski(L,M) & G = k4_tarski(N,O) & k1_binop_1(E,F,G) = k4_tarski(k4_tarski(L,N),k4_tarski(M,O)) ) ) ) ) ) )).
fof(s1_binop_1__e2_7__prvect_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v2_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ! [C] : ! [D] : ~ ( r2_hidden(C,k4_card_3(A)) & r2_hidden(D,k4_card_3(B)) & ! [E] : ~ ( r2_hidden(E,k4_card_3(k7_finseq_1(A,B))) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & F = C & G = D & E = k7_finseq_1(F,G) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_card_3(A),k4_card_3(B)),k4_card_3(k7_finseq_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(B)),k4_card_3(k7_finseq_1(A,B))))) & ! [D] : ! [E] : ( ( r2_hidden(D,k4_card_3(A)) & r2_hidden(E,k4_card_3(B)) ) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) & H = D & I = E & k1_binop_1(C,D,E) = k7_finseq_1(H,I) ) ) ) ) ) ) )).
fof(s1_binop_1__e39_17_1_2__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(E) & v7_ordinal1(F) & m2_finseq_1(G,k1_numbers) ) => ( ! [H] : ! [I] : ~ ( r2_hidden(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E)))) & r2_hidden(I,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [J] : ~ ( r2_hidden(J,u1_struct_0(A)) & ? [K] : ( v7_ordinal1(K) & ? [L] : ( v7_ordinal1(L) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & H = K & I = L & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),L)),k1_funct_1(G,L)) & J = k1_rlvect_1(A,M,k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,D,E),K),k2_integra1(B,k2_integra2(B,D,F),L)))) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E))),k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))),u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E))),k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))),u1_struct_0(A)))) & ! [I] : ! [J] : ( ( r2_hidden(I,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,E)))) & r2_hidden(J,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) ) => ? [N] : ( v7_ordinal1(N) & ? [O] : ( v7_ordinal1(O) & ? [P] : ( m1_subset_1(P,u1_struct_0(A)) & I = N & J = O & P = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),O)),k1_funct_1(G,O)) & k1_binop_1(H,I,J) = k1_rlvect_1(A,P,k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,D,E),N),k2_integra1(B,k2_integra2(B,D,F),O)))) ) ) ) ) ) ) ) )).
fof(s1_binop_1__e3_3__prvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ! [E] : ~ ( r2_hidden(D,A) & r2_hidden(E,B) & ! [F] : ~ ( r2_hidden(F,k4_card_3(C)) & F = k10_finseq_1(D,E) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k4_card_3(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k4_card_3(C)))) & ! [E] : ! [F] : ( ( r2_hidden(E,A) & r2_hidden(F,B) ) => k1_binop_1(D,E,F) = k10_finseq_1(E,F) ) ) ) ) )).
fof(s1_binop_1__e4_4__ndiff_6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( ! [C] : ! [D] : ~ ( r2_hidden(C,A) & r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))) & E = k4_tarski(C,k9_finseq_1(D)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))))) & ! [D] : ! [E] : ( ( r2_hidden(D,A) & r2_hidden(E,B) ) => k1_binop_1(C,D,E) = k4_tarski(D,k9_finseq_1(E)) ) ) ) ) )).
fof(s1_binop_1__e4_50__prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ! [C] : ! [D] : ~ ( r2_hidden(C,u1_struct_0(A)) & r2_hidden(D,u1_struct_0(B)) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))))) & E = k4_tarski(C,k9_finseq_1(D)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))))))) & ! [D] : ! [E] : ( ( r2_hidden(D,u1_struct_0(A)) & r2_hidden(E,u1_struct_0(B)) ) => k1_binop_1(C,D,E) = k4_tarski(D,k9_finseq_1(E)) ) ) ) ) )).
fof(s1_binop_1__e4_52__prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ! [C] : ! [D] : ~ ( r2_hidden(C,u1_struct_0(A)) & r2_hidden(D,u1_struct_0(B)) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))))) & E = k4_tarski(C,k9_finseq_1(D)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))))))) & ! [D] : ! [E] : ( ( r2_hidden(D,u1_struct_0(A)) & r2_hidden(E,u1_struct_0(B)) ) => k1_binop_1(C,D,E) = k4_tarski(D,k9_finseq_1(E)) ) ) ) ) )).
fof(s1_binop_1__e5_23__group_14,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( ! [C] : ! [D] : ~ ( r2_hidden(C,A) & r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))) & E = k4_tarski(C,k9_finseq_1(D)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))))) & ! [D] : ! [E] : ( ( r2_hidden(D,A) & r2_hidden(E,B) ) => k1_binop_1(C,D,E) = k4_tarski(D,k9_finseq_1(E)) ) ) ) ) )).
fof(s1_bintree2__e3_3__vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ? [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( D = k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,H) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( E = k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,I) & F = k1_domain_1(u1_struct_0(A),u1_struct_0(A),I,H) & k3_metric_1(A,G,H) = k3_xcmplx_0(2,k3_metric_1(A,G,I)) & k3_metric_1(A,G,H) = k3_xcmplx_0(2,k3_metric_1(A,I,H)) ) ) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(D) & v3_trees_2(D) & v2_bintree1(D) & k9_xtuple_0(D) = k3_finseq_2(k7_domain_1(k4_ordinal1,k5_numbers,1)) & k1_funct_1(D,k1_xboole_0) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C) & ! [E] : ( m1_trees_1(E,k9_xtuple_0(D)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ~ ( k3_trees_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),D,E) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),J,K) & ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ~ ( k1_funct_1(D,k8_finseq_1(k4_ordinal1,E,k10_binarith(k4_ordinal1,k5_numbers))) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),J,L) & k1_funct_1(D,k8_finseq_1(k4_ordinal1,E,k10_binarith(k4_ordinal1,1))) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),L,K) & k3_metric_1(A,J,K) = k3_xcmplx_0(2,k3_metric_1(A,J,L)) & k3_metric_1(A,J,K) = k3_xcmplx_0(2,k3_metric_1(A,L,K)) ) ) ) ) ) ) ) ) ) )).
fof(s1_borsuk_2__e12_14__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_cantor_1(D,C) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => r1_tarski(k1_card_1(a_4_10_metrizts(A,B,C,D)),k1_card_1(D)) ) )).
fof(s1_borsuk_2__e12_26_1_2__topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_card_3(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => r1_tarski(k1_card_1(a_4_0_topdim_2(A,B,C,D)),k1_card_1(B)) ) )).
fof(s1_borsuk_2__e18_10_1__topdim_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => r1_tarski(k1_card_1(a_2_1_topdim_2(A,B)),k1_card_1(B)) ) )).
fof(s1_borsuk_2__e20_14__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_cantor_1(D,C) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => r1_tarski(k1_card_1(a_4_11_metrizts(A,B,C,D)),k1_card_1(D)) ) )).
fof(s1_borsuk_2__e6_6__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_cantor_1(C,A) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r1_tarski(k1_card_1(a_4_9_metrizts(A,B,C,D)),k1_card_1(C)) ) )).
fof(s1_borsuk_2__e7_32_1_2_1__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k4_ordinal1) ) => r1_tarski(k1_card_1(a_4_12_metrizts(A,B,C,D)),k1_card_1(B)) ) )).
fof(s1_borsuk_2__e9_11__topgen_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => r1_tarski(k1_card_1(a_2_1_topgen_4(A,B)),k1_card_1(B)) ) )).
fof(s1_bspace__e3_39__bspace,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( ( k3_bspace(k4_rlvect_1(k7_bspace(A),k1_bspace(k7_bspace(A))),B) = k4_rlvect_1(k2_bspace,k11_bspace(A,k1_bspace(k7_bspace(A)),B)) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k7_bspace(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_bspace(A))) => ( k3_bspace(k4_rlvect_1(k7_bspace(A),C),B) = k4_rlvect_1(k2_bspace,k11_bspace(A,C,B)) => k3_bspace(k4_rlvect_1(k7_bspace(A),k7_finseq_1(C,k9_finseq_1(D))),B) = k4_rlvect_1(k2_bspace,k11_bspace(A,k7_finseq_1(C,k9_finseq_1(D)),B)) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k7_bspace(A))) => k3_bspace(k4_rlvect_1(k7_bspace(A),C),B) = k4_rlvect_1(k2_bspace,k11_bspace(A,C,B)) ) ) ) )).
fof(s1_card_1__e4_4__card_5,axiom,( ( ~ ( ~ v1_finset_1(k1_xboole_0) & ! [A] : ( v3_ordinal1(A) => k1_xboole_0 != k3_card_1(A) ) ) & ! [B] : ( v1_card_1(B) => ( ~ ( ~ v1_finset_1(B) & ! [C] : ( v3_ordinal1(C) => B != k3_card_1(C) ) ) => ~ ( ~ v1_finset_1(k2_card_1(B)) & ! [D] : ( v3_ordinal1(D) => k2_card_1(B) != k3_card_1(D) ) ) ) ) & ! [B] : ( v1_card_1(B) => ( ( v2_card_1(B) & ! [E] : ( v1_card_1(E) => ( r2_tarski(E,B) => ~ ( ~ v1_finset_1(E) & ! [F] : ( v3_ordinal1(F) => E != k3_card_1(F) ) ) ) ) ) => ( B = k1_xboole_0 | ~ ( ~ v1_finset_1(B) & ! [G] : ( v3_ordinal1(G) => B != k3_card_1(G) ) ) ) ) ) ) => ! [B] : ( v1_card_1(B) => ~ ( ~ v1_finset_1(B) & ! [H] : ( v3_ordinal1(H) => B != k3_card_1(H) ) ) ) )).
fof(s1_card_2__e6_43_1_1_2__trees_2,axiom,( ! [A] : ( v1_finset_1(A) => ( ( A != k1_xboole_0 & ! [B] : ! [C] : ( ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & B = D & C = E & r1_xxreal_0(E,D) ) ) & ? [F] : ( v7_ordinal1(F) & ? [G] : ( v7_ordinal1(G) & C = F & B = G & r1_xxreal_0(G,F) ) ) ) => B = C ) & ! [B] : ! [C] : ! [H] : ( ( ? [I] : ( v7_ordinal1(I) & ? [J] : ( v7_ordinal1(J) & B = I & C = J & r1_xxreal_0(J,I) ) ) & ? [K] : ( v7_ordinal1(K) & ? [L] : ( v7_ordinal1(L) & C = K & H = L & r1_xxreal_0(L,K) ) ) ) => ? [M] : ( v7_ordinal1(M) & ? [N] : ( v7_ordinal1(N) & B = M & H = N & r1_xxreal_0(N,M) ) ) ) ) => ? [B] : ( r2_hidden(B,A) & ! [C] : ~ ( r2_hidden(C,A) & C != B & ? [O] : ( v7_ordinal1(O) & ? [P] : ( v7_ordinal1(P) & C = O & B = P & r1_xxreal_0(P,O) ) ) ) ) ) ) )).
fof(s1_card_3__e16_24__classes2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_tarski(C,A) => k1_funct_1(B,C) = k1_card_1(k9_setfam_1(C)) ) ) )).
fof(s1_card_3__e6_29__classes2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_tarski(C,A) => k1_funct_1(B,C) = k1_card_1(k9_setfam_1(C)) ) ) )).
fof(s1_card_3__e8_20__classes2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_card_3(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_tarski(D,A) => k1_funct_1(C,D) = k1_card_1(k9_setfam_1(k1_funct_1(B,D))) ) ) ) )).
fof(s1_card_4__e7_26__card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v4_card_3(a_1_1_card_4(A)) ) )).
fof(s1_card_fil__e10_27__card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) & v3_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,B) ) => ( r2_tarski(D,a_2_0_card_lar(A,C)) => ( ~ v1_finset_1(D) & v4_ordinal1(D) & k3_ordinal2(k8_subset_1(A,C,D)) = D ) ) ) )).
fof(s1_card_fil__e11_28__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) & m1_card_fil(C,A) ) => ( r2_tarski(C,a_2_4_card_fil(A,B)) => ( r1_tarski(B,C) & m1_card_fil(C,A) ) ) ) )).
fof(s1_card_fil__e2_17_1__card_lar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) & v3_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( r2_tarski(D,a_3_0_card_lar(A,B,C)) => ( r2_tarski(D,C) & r2_tarski(B,D) ) ) ) )).
fof(s1_card_fil__e37_40__card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) & m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_finset_1(C) & v1_card_1(C) & m1_subset_1(C,A) ) => ( r2_tarski(C,a_2_2_card_lar(A,B)) => ( ~ v1_finset_1(C) & v4_ordinal1(C) & k3_ordinal2(k8_subset_1(A,B,C)) = C ) ) ) )).
fof(s1_card_fil__e3_23_1__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_card_fil(C,A) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( r2_tarski(D,a_3_4_card_fil(A,B,C)) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) & r2_tarski(E,a_3_5_card_fil(A,B,C)) & r1_tarski(E,D) ) ) ) )).
fof(s1_card_fil__e3_26_1__card_fil,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( r2_tarski(B,a_1_0_card_fil(A)) => m1_card_fil(B,A) ) ) )).
fof(s1_card_fil__e3_31_1__card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( r2_tarski(B,a_1_1_card_fil(A)) => r2_tarski(k1_card_1(k6_subset_1(A,B)),k1_card_1(A)) ) ) )).
fof(s1_card_fil__e4_28_1__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) ) => ( r2_tarski(C,a_2_4_card_fil(A,B)) => ( r1_tarski(B,C) & m1_card_fil(C,A) ) ) ) )).
fof(s1_card_fil__e5_28_2_1_2_1__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_card_fil(B,A) ) => ( r2_tarski(C,a_2_4_card_fil(A,B)) => ( r1_tarski(B,C) & m1_card_fil(C,A) ) ) ) )).
fof(s1_card_fil__e6_20_1__flang_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( r2_tarski(E,a_4_0_flang_2(A,B,C,D)) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(C,F) & r1_xxreal_0(F,D) & E = k7_flang_1(A,B,F) ) ) ) )).
fof(s1_card_fil__e6_3_1__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => ( r2_tarski(D,a_3_0_flang_3(A,B,C)) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(C,E) & D = k7_flang_1(A,B,E) ) ) ) )).
fof(s1_card_fil__e6_49_1__flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( r2_tarski(C,a_2_0_flang_1(A,B)) => ? [D] : ( v7_ordinal1(D) & C = k7_flang_1(A,B,D) ) ) ) )).
fof(s1_card_fil__e6_49_1__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ( r2_tarski(C,a_2_0_flang_3(A,B)) => ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(D,k5_numbers) & C = k7_flang_1(A,B,D) ) ) ) )).
fof(s1_card_fil__e6_61_4__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k6_card_fil(A)) & m1_subset_1(E,A) & m1_subset_1(F,C) ) => ( r2_tarski(F,a_5_0_card_fil(A,B,C,D,E)) => k1_funct_1(k1_funct_1(B,F),D) = E ) ) )).
fof(s1_card_fil__e6_71_1__flang_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ( r2_tarski(C,a_2_0_flang_2(A,B)) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(D,1) & C = k7_flang_1(A,B,D) ) ) ) )).
fof(s1_card_fil__e9_61_4__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k6_card_fil(A)) & m1_subset_1(E,A) & m1_subset_1(F,C) ) => ( r2_tarski(F,a_5_0_card_fil(A,B,C,D,E)) => k1_funct_1(k1_funct_1(B,F),D) = E ) ) )).
fof(s1_cardfin2__e5_27__cardfin2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => ( ( B = k1_xboole_0 => A = k1_xboole_0 ) => a_2_2_cardfin2(A,B) = k6_subset_1(k1_funct_2(A,B),a_2_1_cardfin2(A,B)) ) ) )).
fof(s1_cat_3__e2_68_1__cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_cat_3(D,B,C,A) & m1_subset_1(E,u1_struct_0(B)) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,u4_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) & ! [G] : ( r2_tarski(G,A) => k7_partfun1(u4_struct_0(B),F,G) = k10_cat_3(B,E,k4_graph_1(B,k7_partfun1(u4_struct_0(B),D,G))) ) ) ) )).
fof(s1_cat_3__e2_95_1__cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m2_cat_3(D,B,C,A) & m1_subset_1(E,u1_struct_0(B)) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,u4_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) & ! [G] : ( r2_tarski(G,A) => k7_partfun1(u4_struct_0(B),F,G) = k11_cat_3(B,k3_graph_1(B,k7_partfun1(u4_struct_0(B),D,G)),E) ) ) ) )).
fof(s1_cat_5__e12_37__cat_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) & ~ v1_xboole_0(B) & v2_cat_5(B) ) => ( ( ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( m2_cat_1(F,C,D) & m2_cat_1(G,D,E) ) => ( r2_tarski(k3_relat_1(F,G),A) & m2_cat_1(k3_relat_1(F,G),C,E) ) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,B) => ? [D] : ( m1_subset_1(D,A) & m2_cat_1(D,C,C) & ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,A) => ( ( m2_cat_1(F,C,E) => k3_relat_1(D,F) = F ) & ( m2_cat_1(F,E,C) => k3_relat_1(F,D) = F ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ( ( m2_cat_1(G,C,D) & m2_cat_1(H,D,E) & m2_cat_1(I,E,F) ) => k3_relat_1(k3_relat_1(G,H),I) = k3_relat_1(G,k3_relat_1(H,I)) ) ) ) ) ) ) ) ) ) => ? [C] : ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_cat_1(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v1_cat_5(C) & l1_cat_1(C) & u1_struct_0(C) = B & ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,A) => ( m2_cat_1(F,D,E) => m1_subset_1(k1_domain_1(k2_zfmisc_1(B,B),A,k1_domain_1(B,B,D,E),F),u4_struct_0(C)) ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ? [E] : ( m1_subset_1(E,B) & ? [F] : ( m1_subset_1(F,B) & ? [G] : ( m1_subset_1(G,A) & D = k1_domain_1(k2_zfmisc_1(B,B),A,k1_domain_1(B,B,E,F),G) & m2_cat_1(G,E,F) ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,B) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ( ( D = k1_domain_1(k2_zfmisc_1(B,B),A,k1_domain_1(B,B,F,G),I) & E = k1_domain_1(k2_zfmisc_1(B,B),A,k1_domain_1(B,B,G,H),J) ) => k1_cat_1(C,D,E) = k4_tarski(k1_domain_1(B,B,F,H),k3_relat_1(I,J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_cfcont_1__e22_92__polynom5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_xcmplx_0(D) & ? [E] : ( m1_subset_1(E,u1_struct_0(k1_complfld)) & E = k1_funct_1(B,C) & D = k2_polynom4(k1_complfld,k8_polynom5(k1_complfld,A),E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => ? [F] : ( m1_subset_1(F,u1_struct_0(k1_complfld)) & F = k1_funct_1(B,D) & k8_nat_1(k2_numbers,C,D) = k2_polynom4(k1_complfld,k8_polynom5(k1_complfld,A),F) ) ) ) ) ) )).
fof(s1_cfcont_1__e3_50_1__cfcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_xcmplx_0(D) & r2_hidden(D,k1_relset_1(k2_numbers,A)) & k7_partfun1(k2_numbers,A,D) = k1_funct_1(B,C) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k8_nat_1(k2_numbers,C,D),k1_relset_1(k2_numbers,A)) & k7_partfun1(k2_numbers,A,k8_nat_1(k2_numbers,C,D)) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(s1_cfcont_1__e6_92__polynom5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_xcmplx_0(D) & ? [E] : ( m1_subset_1(E,u1_struct_0(k1_complfld)) & E = D & ~ r1_xxreal_0(k2_xcmplx_0(k3_seq_4(B),k7_xcmplx_0(1,k1_nat_1(C,1))),k9_complex1(k2_polynom4(k1_complfld,k8_polynom5(k1_complfld,A),E))) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => ? [F] : ( m1_subset_1(F,u1_struct_0(k1_complfld)) & F = k8_nat_1(k2_numbers,C,D) & ~ r1_xxreal_0(k2_xcmplx_0(k3_seq_4(B),k7_xcmplx_0(1,k1_nat_1(D,1))),k9_complex1(k2_polynom4(k1_complfld,k8_polynom5(k1_complfld,A),F))) ) ) ) ) ) )).
fof(s1_cfcont_1__e7_31_1__cfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( v7_ordinal1(D) => ? [E] : ( v1_xcmplx_0(E) & r2_hidden(E,k1_relset_1(k2_numbers,B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(k6_xcmplx_0(E,A))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,E),k7_partfun1(k2_numbers,B,A)))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k8_nat_1(k2_numbers,D,E),k1_relset_1(k2_numbers,B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers,D,E),A))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,k8_nat_1(k2_numbers,D,E)),k7_partfun1(k2_numbers,B,A)))) ) ) ) ) ) )).
fof(s1_chord__e2_116__chord,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) ) => ( ~ r1_xxreal_0(A,k15_glib_000(B)) => ~ ( ~ v4_glib_000(B) & v6_chord(B) & ~ v2_chord(B) & ! [C] : ( m1_subset_1(C,k6_glib_000(B)) => ! [D] : ( m1_subset_1(D,k6_glib_000(B)) => ~ ( C != D & ~ r1_chord(B,C,D) & v3_chord(C,B) & v3_chord(D,B) ) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) ) => ( k15_glib_000(B) = A => ~ ( ~ v4_glib_000(B) & v6_chord(B) & ~ v2_chord(B) & ! [E] : ( m1_subset_1(E,k6_glib_000(B)) => ! [F] : ( m1_subset_1(F,k6_glib_000(B)) => ~ ( E != F & ~ r1_chord(B,E,F) & v3_chord(E,B) & v3_chord(F,B) ) ) ) ) ) ) ) ) => ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ~ ( ~ v4_glib_000(A) & v6_chord(A) & ~ v2_chord(A) & ! [G] : ( m1_subset_1(G,k6_glib_000(A)) => ! [H] : ( m1_subset_1(H,k6_glib_000(A)) => ~ ( G != H & ~ r1_chord(A,G,H) & v3_chord(G,A) & v3_chord(H,A) ) ) ) ) ) )).
fof(s1_circtrm1__e5_133__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & v2_relat_1(D) & m1_msafree(D,A,k3_equation(A)) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(D,E)) => ? [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E)) & ! [H] : ( m1_subset_1(H,k1_funct_1(k7_funcop_1(u1_struct_0(A),k4_ordinal1),E)) => ( F = k1_trees_4(k4_tarski(H,E)) => ( ( r2_tarski(H,k2_relset_1(k1_funct_1(k7_funcop_1(u1_struct_0(A),k4_ordinal1),E),k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,E))) => G = k1_trees_4(k4_tarski(k1_funct_1(k2_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,E)),H),E)) ) & ( ~ r2_hidden(H,k2_relset_1(k1_funct_1(k7_funcop_1(u1_struct_0(A),k4_ordinal1),E),k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,E))) => G = o_3_8_msafree4(A,B,E) ) ) ) ) ) ) ) => ? [E] : ( m2_pboole(E,u1_struct_0(A),D,u3_msualg_1(A,k1_msafree3(A,B))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_funct_1(D,F)) => ! [I] : ( m1_subset_1(I,k1_funct_1(k7_funcop_1(u1_struct_0(A),k4_ordinal1),F)) => ( G = k1_trees_4(k4_tarski(I,F)) => ( ( r2_tarski(I,k2_relset_1(k1_funct_1(k7_funcop_1(u1_struct_0(A),k4_ordinal1),F),k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,F))) => k1_funct_1(k1_funct_1(E,F),G) = k1_trees_4(k4_tarski(k1_funct_1(k2_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,F)),I),F)) ) & ( ~ r2_hidden(I,k2_relset_1(k1_funct_1(k7_funcop_1(u1_struct_0(A),k4_ordinal1),F),k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,F))) => k1_funct_1(k1_funct_1(E,F),G) = o_3_8_msafree4(A,B,F) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e10_30__simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ? [F] : ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k6_subset_1(F,k1_funct_1(C,F)),k9_setfam_1(k6_subset_1(F,k1_funct_1(C,F)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(F,k1_funct_1(C,F)),k9_setfam_1(k6_subset_1(F,k1_funct_1(C,F)))))) & F = D & E = G & v2_funct_1(G) & v1_setfam_1(k2_relset_1(k9_setfam_1(k6_subset_1(F,k1_funct_1(C,F))),G)) & v6_ordinal1(k2_relset_1(k9_setfam_1(k6_subset_1(F,k1_funct_1(C,F))),G)) & r2_tarski(k1_relset_1(k6_subset_1(F,k1_funct_1(C,F)),G),k2_relset_1(k9_setfam_1(k6_subset_1(F,k1_funct_1(C,F))),G)) & ! [H] : ~ ( r2_tarski(H,k2_relset_1(k9_setfam_1(k6_subset_1(F,k1_funct_1(C,F))),G)) & k1_card_1(H) != 1 & ! [I] : ~ ( r2_tarski(I,H) & r2_tarski(k6_subset_1(H,k1_tarski(I)),k2_relset_1(k9_setfam_1(k6_subset_1(F,k1_funct_1(C,F))),G)) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & ! [E] : ( r2_hidden(E,B) => ? [J] : ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k6_subset_1(J,k1_funct_1(C,J)),k9_setfam_1(k6_subset_1(J,k1_funct_1(C,J)))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(J,k1_funct_1(C,J)),k9_setfam_1(k6_subset_1(J,k1_funct_1(C,J)))))) & J = E & k1_funct_1(D,E) = K & v2_funct_1(K) & v1_setfam_1(k2_relset_1(k9_setfam_1(k6_subset_1(J,k1_funct_1(C,J))),K)) & v6_ordinal1(k2_relset_1(k9_setfam_1(k6_subset_1(J,k1_funct_1(C,J))),K)) & r2_tarski(k1_relset_1(k6_subset_1(J,k1_funct_1(C,J)),K),k2_relset_1(k9_setfam_1(k6_subset_1(J,k1_funct_1(C,J))),K)) & ! [L] : ~ ( r2_tarski(L,k2_relset_1(k9_setfam_1(k6_subset_1(J,k1_funct_1(C,J))),K)) & k1_card_1(L) != 1 & ! [M] : ~ ( r2_tarski(M,L) & r2_tarski(k6_subset_1(L,k1_tarski(M)),k2_relset_1(k9_setfam_1(k6_subset_1(J,k1_funct_1(C,J))),K)) ) ) ) ) ) ) ) )).
fof(s1_classes1__e10_50__funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k4_card_3(k3_relat_1(B,A))) & ! [D] : ~ ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & C = E & D = k3_relat_1(k2_funct_1(B),E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_card_3(k3_relat_1(B,A)) & ! [D] : ( r2_hidden(D,k4_card_3(k3_relat_1(B,A))) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & D = F & k1_funct_1(C,D) = k3_relat_1(k2_funct_1(B),F) ) ) ) ) ) )).
fof(s1_classes1__e11_22__msualg_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k9_xtuple_0(A)) & ! [C] : ~ r2_hidden(C,k1_funct_1(A,B)) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => r2_hidden(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) ) ) )).
fof(s1_classes1__e11_43__osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) & v1_relat_1(D) & v1_funct_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k9_xtuple_0(D)) & ! [F] : ~ ( r2_hidden(F,k1_funct_1(u3_msualg_1(A,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),E))) & r2_hidden(F,k1_funct_1(D,E)) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k9_xtuple_0(D) & ! [F] : ( r2_hidden(F,k9_xtuple_0(D)) => ( r2_hidden(k1_funct_1(E,F),k1_funct_1(u3_msualg_1(A,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),F))) & r2_hidden(k1_funct_1(E,F),k1_funct_1(D,F)) ) ) ) ) ) )).
fof(s1_classes1__e11_45__card_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) ) => ( ! [D] : ~ ( r2_hidden(D,k9_funct_2(B,A)) & ! [E] : ~ ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & F = D & G = E & k9_xtuple_0(F) = B & r1_tarski(k10_xtuple_0(F),A) & k9_xtuple_0(G) = k1_card_5(A) & ! [H] : ~ ( r2_hidden(H,k1_card_5(A)) & ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ~ ( k1_funct_1(G,H) = k4_tarski(I,k1_funct_1(C,H)) & k9_xtuple_0(I) = B & ! [J] : ( r2_hidden(J,B) => ( ( r2_tarski(k1_funct_1(F,J),k1_funct_1(C,H)) => k1_funct_1(I,J) = k1_funct_1(F,J) ) & ( ~ r2_tarski(k1_funct_1(F,J),k1_funct_1(C,H)) => k1_funct_1(I,J) = k5_numbers ) ) ) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k9_funct_2(B,A) & ! [E] : ( r2_hidden(E,k9_funct_2(B,A)) => ? [K] : ( v1_relat_1(K) & v1_funct_1(K) & ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & K = E & L = k1_funct_1(D,E) & k9_xtuple_0(K) = B & r1_tarski(k10_xtuple_0(K),A) & k9_xtuple_0(L) = k1_card_5(A) & ! [M] : ~ ( r2_hidden(M,k1_card_5(A)) & ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) ) => ~ ( k1_funct_1(L,M) = k4_tarski(N,k1_funct_1(C,M)) & k9_xtuple_0(N) = B & ! [O] : ( r2_hidden(O,B) => ( ( r2_tarski(k1_funct_1(K,O),k1_funct_1(C,M)) => k1_funct_1(N,O) = k1_funct_1(K,O) ) & ( ~ r2_tarski(k1_funct_1(K,O),k1_funct_1(C,M)) => k1_funct_1(N,O) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e11_46_2__card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k3_tarski(k10_xtuple_0(k2_card_3(k1_card_3(A))))) & ! [E] : ~ ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & F = k1_funct_1(C,k1_funct_1(B,k2_xtuple_0(D))) & E = k1_funct_1(F,k1_xtuple_0(D)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k3_tarski(k10_xtuple_0(k2_card_3(k1_card_3(A)))) & ! [E] : ( r2_hidden(E,k3_tarski(k10_xtuple_0(k2_card_3(k1_card_3(A))))) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & G = k1_funct_1(C,k1_funct_1(B,k2_xtuple_0(E))) & k1_funct_1(D,E) = k1_funct_1(G,k1_xtuple_0(E)) ) ) ) ) ) )).
fof(s1_classes1__e12_46__combgras,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & l1_combgras(C,k1_combgras(k1_nat_1(A,1),B),k1_combgras(k1_nat_1(A,1),B)) ) => ( ! [D] : ~ ( r2_hidden(D,u1_incsp_1(k1_combgras(A,B))) & ! [E] : ~ ? [F] : ( v1_finset_1(F) & F = D & E = k1_setfam_1(k4_combgras(k1_combgras(k1_nat_1(A,1),B),k1_combgras(k1_nat_1(A,1),B),C,k7_combgras(k1_nat_1(A,1),B,F))) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = u1_incsp_1(k1_combgras(A,B)) & ! [E] : ( r2_hidden(E,u1_incsp_1(k1_combgras(A,B))) => ? [G] : ( v1_finset_1(G) & G = E & k1_funct_1(D,E) = k1_setfam_1(k4_combgras(k1_combgras(k1_nat_1(A,1),B),k1_combgras(k1_nat_1(A,1),B),C,k7_combgras(k1_nat_1(A,1),B,G))) ) ) ) ) ) )).
fof(s1_classes1__e12_48__card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k3_card_3(k2_card_3(A))) & ! [D] : ~ ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & D = E & k9_xtuple_0(E) = k9_xtuple_0(A) & ! [F] : ( r2_hidden(F,k9_xtuple_0(A)) => ( ( k2_xtuple_0(C) = F => k1_funct_1(E,F) = k1_xtuple_0(C) ) & ( k2_xtuple_0(C) != F => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k3_card_3(k2_card_3(A)) & ! [D] : ( r2_hidden(D,k3_card_3(k2_card_3(A))) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k1_funct_1(C,D) = G & k9_xtuple_0(G) = k9_xtuple_0(A) & ! [H] : ( r2_hidden(H,k9_xtuple_0(A)) => ( ( k2_xtuple_0(D) = H => k1_funct_1(G,H) = k1_xtuple_0(D) ) & ( k2_xtuple_0(D) != H => k1_funct_1(G,H) = k1_funct_1(B,H) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e12_86__algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & ~ v1_xboole_0(D) ) => ( ! [E] : ~ ( r2_hidden(E,k8_afinsq_1(D)) & ! [F] : ~ ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,D) & v5_ordinal1(G) & v1_funct_1(G) & v1_finset_1(G) ) => ( E = G => ( ( ! [H] : ( ( v7_ordinal1(H) & ~ v8_ordinal1(H) ) => ( r2_tarski(H,k2_afinsq_1(G)) => ( v1_funct_1(k1_funct_1(G,H)) & v1_funct_2(k1_funct_1(G,H),k11_algstr_4(A,H),u1_struct_0(B)) & m1_subset_1(k1_funct_1(G,H),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,H),u1_struct_0(B)))) ) ) ) => ( ( k2_afinsq_1(G) = k5_numbers => F = k1_xboole_0 ) & ( k2_afinsq_1(G) = 1 => F = C ) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(2,H) & k2_afinsq_1(G) = H & ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( k3_finseq_1(I) = k6_xcmplx_0(H,1) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(1,J) & r1_xxreal_0(J,k6_xcmplx_0(H,1)) & ! [K] : ( ( v7_ordinal1(K) & ~ v8_ordinal1(K) ) => ! [L] : ( ( v7_ordinal1(L) & ~ v8_ordinal1(L) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k11_algstr_4(A,K),u1_struct_0(B)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,K),u1_struct_0(B)))) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k11_algstr_4(A,L),u1_struct_0(B)) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,L),u1_struct_0(B)))) ) => ~ ( K = J & L = k6_xcmplx_0(H,J) & M = k1_funct_1(G,K) & N = k1_funct_1(G,L) & k1_funct_1(I,J) = k17_algstr_4(A,B,K,L,M,N) ) ) ) ) ) ) ) & F = k3_card_3(I) ) ) ) ) ) ) & ( ? [H] : ( v7_ordinal1(H) & ~ v8_ordinal1(H) & r2_tarski(H,k2_afinsq_1(G)) & ~ ( v1_funct_1(k1_funct_1(G,H)) & v1_funct_2(k1_funct_1(G,H),k11_algstr_4(A,H),u1_struct_0(B)) & m1_subset_1(k1_funct_1(G,H),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,H),u1_struct_0(B)))) ) ) => F = C ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k8_afinsq_1(D) & ! [F] : ( r2_hidden(F,k8_afinsq_1(D)) => ! [O] : ( ( v1_relat_1(O) & v5_relat_1(O,D) & v5_ordinal1(O) & v1_funct_1(O) & v1_finset_1(O) ) => ( F = O => ( ( ! [P] : ( ( v7_ordinal1(P) & ~ v8_ordinal1(P) ) => ( r2_tarski(P,k2_afinsq_1(O)) => ( v1_funct_1(k1_funct_1(O,P)) & v1_funct_2(k1_funct_1(O,P),k11_algstr_4(A,P),u1_struct_0(B)) & m1_subset_1(k1_funct_1(O,P),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,P),u1_struct_0(B)))) ) ) ) => ( ( k2_afinsq_1(O) = k5_numbers => k1_funct_1(E,F) = k1_xboole_0 ) & ( k2_afinsq_1(O) = 1 => k1_funct_1(E,F) = C ) & ! [P] : ( v7_ordinal1(P) => ~ ( r1_xxreal_0(2,P) & k2_afinsq_1(O) = P & ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ~ ( k3_finseq_1(Q) = k6_xcmplx_0(P,1) & ! [R] : ( v7_ordinal1(R) => ~ ( r1_xxreal_0(1,R) & r1_xxreal_0(R,k6_xcmplx_0(P,1)) & ! [S] : ( ( v7_ordinal1(S) & ~ v8_ordinal1(S) ) => ! [T] : ( ( v7_ordinal1(T) & ~ v8_ordinal1(T) ) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k11_algstr_4(A,S),u1_struct_0(B)) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,S),u1_struct_0(B)))) ) => ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,k11_algstr_4(A,T),u1_struct_0(B)) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,T),u1_struct_0(B)))) ) => ~ ( S = R & T = k6_xcmplx_0(P,R) & U = k1_funct_1(O,S) & V = k1_funct_1(O,T) & k1_funct_1(Q,R) = k17_algstr_4(A,B,S,T,U,V) ) ) ) ) ) ) ) & k1_funct_1(E,F) = k3_card_3(Q) ) ) ) ) ) ) & ( ? [P] : ( v7_ordinal1(P) & ~ v8_ordinal1(P) & r2_tarski(P,k2_afinsq_1(O)) & ~ ( v1_funct_1(k1_funct_1(O,P)) & v1_funct_2(k1_funct_1(O,P),k11_algstr_4(A,P),u1_struct_0(B)) & m1_subset_1(k1_funct_1(O,P),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,P),u1_struct_0(B)))) ) ) => k1_funct_1(E,F) = C ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e13_29__borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A))))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ? [G] : ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A))))) & G = E & r1_tarski(H,C) & v1_finset_1(H) & r1_tarski(k2_zfmisc_1(k2_struct_0(B),G),k5_setfam_1(u1_struct_0(k2_borsuk_1(B,A)),H)) & F = H ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( r2_hidden(F,D) => ? [I] : ? [J] : ( m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A))))) & I = F & r1_tarski(J,C) & v1_finset_1(J) & r1_tarski(k2_zfmisc_1(k2_struct_0(B),I),k5_setfam_1(u1_struct_0(k2_borsuk_1(B,A)),J)) & k1_funct_1(E,F) = J ) ) ) ) ) )).
fof(s1_classes1__e13_49__lattice8,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow11(A) & l1_orders_2(A) & m1_lattice8(B,u1_struct_0(A),A,k16_lattice5(A)) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : D != k2_xfamily(k1_funct_1(B,C)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( r2_hidden(D,k4_ordinal1) => k1_funct_1(C,D) = k2_xfamily(k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_classes1__e13_67__circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v5_circcomb(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,k1_relat_1(B)) & ! [E] : ~ ? [F] : ( m1_subset_1(F,k4_ordinal1) & E = F & ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(A,C))) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r1_xxreal_0(F,H) => k1_funct_1(k5_facirc_1(A,C,G,H),D) = k1_funct_1(k5_facirc_1(A,C,G,F),D) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_relat_1(B) & ! [E] : ( r2_hidden(E,k1_relat_1(B)) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & k1_funct_1(D,E) = I & ! [J] : ( m1_subset_1(J,k4_card_3(u3_msualg_1(A,C))) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r1_xxreal_0(I,K) => k1_funct_1(k5_facirc_1(A,C,J,K),E) = k1_funct_1(k5_facirc_1(A,C,J,I),E) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e13_80__lattice5,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) & m2_lattice5(B,u1_struct_0(A),A,k16_lattice5(A)) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : D != k2_xfamily(k1_funct_1(B,C)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( r2_hidden(D,k4_ordinal1) => k1_funct_1(C,D) = k2_xfamily(k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_classes1__e14_25__friends1,axiom,( ! [A] : ( v1_relat_1(A) => ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ! [D] : ! [E] : ( B = k4_tarski(D,E) => C = E ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ! [F] : ! [G] : ( C = k4_tarski(F,G) => k1_funct_1(B,C) = G ) ) ) ) ) )).
fof(s1_classes1__e15_15__convex3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ~ ( ( r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,C),k6_domain_1(u1_struct_0(A),D))) => F = k1_funct_1(C,E) ) & ( ~ r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,C),k6_domain_1(u1_struct_0(A),D))) => F = k5_numbers ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = u1_struct_0(A) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,C),k6_domain_1(u1_struct_0(A),D))) => k1_funct_1(E,F) = k1_funct_1(C,F) ) & ( ~ r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,C),k6_domain_1(u1_struct_0(A),D))) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s1_classes1__e23_67__waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_yellow_1(u1_pre_topc(A))))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & E = F & D = k1_tops_1(A,F) & r1_tarski(F,B) & v2_compts_1(F,A) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & k1_funct_1(D,E) = G & E = k1_tops_1(A,G) & r1_tarski(G,B) & v2_compts_1(G,A) ) ) ) ) ) )).
fof(s1_classes1__e26_45_1_2__groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) ) => ( ! [F] : ~ ( r2_hidden(F,C) & ! [G] : ~ ? [H] : ( H = F & k3_xboole_0(D,H) = k1_tarski(G) & r2_hidden(G,E) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = C & ! [G] : ( r2_hidden(G,C) => ? [I] : ( I = G & k3_xboole_0(D,I) = k1_tarski(k1_funct_1(F,G)) & r2_hidden(k1_funct_1(F,G),E) ) ) ) ) ) )).
fof(s1_classes1__e2_118__group_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_group_2(D,A) ) => ( ! [E] : ~ ( r2_hidden(E,k13_group_2(A,D,B)) & ! [F] : ~ ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & E = G & F = k6_algstr_0(A,k6_algstr_0(A,C,k2_group_1(A,B)),G) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k13_group_2(A,D,B) & ! [F] : ( r2_hidden(F,k13_group_2(A,D,B)) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & F = H & k1_funct_1(E,F) = k6_algstr_0(A,k6_algstr_0(A,C,k2_group_1(A,B)),H) ) ) ) ) ) )).
fof(s1_classes1__e2_119__group_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_group_2(D,A) ) => ( ! [E] : ~ ( r2_hidden(E,k13_group_2(A,D,B)) & ! [F] : ~ ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & E = G & F = k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,B),G),C) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k13_group_2(A,D,B) & ! [F] : ( r2_hidden(F,k13_group_2(A,D,B)) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & F = H & k1_funct_1(E,F) = k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,B),H),C) ) ) ) ) ) )).
fof(s1_classes1__e2_125__group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k15_group_2(A,B)) & ! [D] : ~ ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & C = k13_group_2(A,B,E) & D = k14_group_2(A,B,k2_group_1(A,E)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k15_group_2(A,B) & ! [D] : ( r2_hidden(D,k15_group_2(A,B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & D = k13_group_2(A,B,F) & k1_funct_1(C,D) = k14_group_2(A,B,k2_group_1(A,F)) ) ) ) ) ) )).
fof(s1_classes1__e2_12__card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ? [D] : ( v7_ordinal1(D) & B = D & C = k4_finseq_2(D,A) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( r2_hidden(C,k4_ordinal1) => ? [E] : ( v7_ordinal1(E) & C = E & k1_funct_1(B,C) = k4_finseq_2(E,A) ) ) ) ) ) )).
fof(s1_classes1__e2_134__group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ~ ( r2_hidden(C,k8_group_3(A,B)) & ! [D] : ~ ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & C = k4_group_3(A,B,E) & D = k14_group_2(A,k10_group_3(A,B),E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k8_group_3(A,B) & ! [D] : ( r2_hidden(D,k8_group_3(A,B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & D = k4_group_3(A,B,F) & k1_funct_1(C,D) = k14_group_2(A,k10_group_3(A,B),F) ) ) ) ) ) )).
fof(s1_classes1__e2_13__card_2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_zfmisc_1(A,B)) & ! [D] : ~ ? [E] : ( v3_ordinal1(E) & ? [F] : ( v3_ordinal1(F) & E = k1_xtuple_0(C) & F = k2_xtuple_0(C) & D = k10_ordinal2(k11_ordinal2(E,B),F) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_zfmisc_1(A,B) & ! [D] : ( r2_hidden(D,k2_zfmisc_1(A,B)) => ? [G] : ( v3_ordinal1(G) & ? [H] : ( v3_ordinal1(H) & G = k1_xtuple_0(D) & H = k2_xtuple_0(D) & k1_funct_1(C,D) = k10_ordinal2(k11_ordinal2(G,B),H) ) ) ) ) ) ) )).
fof(s1_classes1__e2_140__group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k9_group_3(A,B)) & ! [D] : ~ ? [E] : ( v15_algstr_0(E) & m1_group_2(E,A) & C = E & D = k8_group_2(A,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_group_3(A,B) & ! [D] : ( r2_hidden(D,k9_group_3(A,B)) => ? [F] : ( v15_algstr_0(F) & m1_group_2(F,A) & D = F & k1_funct_1(C,D) = k8_group_2(A,F) ) ) ) ) ) )).
fof(s1_classes1__e2_16_1__waybel22,axiom,( ! [A] : ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ? [D] : ( m1_subset_1(D,A) & ? [E] : ( m1_subset_1(E,u1_struct_0(k2_yellow_1(A))) & E = k1_tarski(D) & B = D & C = k6_waybel_0(k2_yellow_1(A),E) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ? [F] : ( m1_subset_1(F,A) & ? [G] : ( m1_subset_1(G,u1_struct_0(k2_yellow_1(A))) & G = k1_tarski(F) & C = F & k1_funct_1(B,C) = k6_waybel_0(k2_yellow_1(A),G) ) ) ) ) ) )).
fof(s1_classes1__e2_201__valued_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k1_relset_1(k4_ordinal1,B)) & ! [D] : ~ ? [E] : ( m1_subset_1(E,k4_ordinal1) & C = E & D = k1_nat_1(A,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_relset_1(k4_ordinal1,B) & ! [D] : ( r2_hidden(D,k1_relset_1(k4_ordinal1,B)) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & D = F & k1_funct_1(C,D) = k1_nat_1(A,F) ) ) ) ) ) )).
fof(s1_classes1__e2_20_1__modal_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_trees_1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k4_trees_1(A,B)) & ! [D] : ~ ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( C = E => D = k8_finseq_1(k4_ordinal1,B,E) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_trees_1(A,B) & ! [D] : ( r2_hidden(D,k4_trees_1(A,B)) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( D = F => k1_funct_1(C,D) = k8_finseq_1(k4_ordinal1,B,F) ) ) ) ) ) ) )).
fof(s1_classes1__e2_21__friends1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_2(B) & v3_relat_2(B) & v1_finset_1(B) & v3_friends1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k9_relat_1(B,A)) & ! [D] : ~ ? [E] : ( r2_hidden(k4_tarski(C,E),B) & r2_hidden(E,k9_relat_1(B,A)) & D = k2_tarski(C,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_relat_1(B,A) & ! [D] : ( r2_hidden(D,k9_relat_1(B,A)) => ? [F] : ( r2_hidden(k4_tarski(D,F),B) & r2_hidden(F,k9_relat_1(B,A)) & k1_funct_1(C,D) = k2_tarski(D,F) ) ) ) ) ) )).
fof(s1_classes1__e2_25__topgen_3,axiom,( ! [A] : ~ ( r2_hidden(A,k2_zfmisc_1(k4_numbers,k4_ordinal1)) & ! [B] : ~ ? [C] : ( v1_int_1(C) & ? [D] : ( v7_ordinal1(D) & A = k4_tarski(C,D) & B = k7_xcmplx_0(C,D) ) ) ) => ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & k9_xtuple_0(A) = k2_zfmisc_1(k4_numbers,k4_ordinal1) & ! [B] : ( r2_hidden(B,k2_zfmisc_1(k4_numbers,k4_ordinal1)) => ? [E] : ( v1_int_1(E) & ? [F] : ( v7_ordinal1(F) & B = k4_tarski(E,F) & k1_funct_1(A,B) = k7_xcmplx_0(E,F) ) ) ) ) )).
fof(s1_classes1__e2_261__abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & v2_funct_1(B) & v15_abcmiz_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,a_2_16_abcmiz_1(A,B)) & ! [D] : ~ ? [E] : ( r2_tarski(E,k1_relset_1(k2_abcmiz_1,B)) & k1_funct_1(B,E) = k1_trees_4(k4_tarski(C,k8_abcmiz_1)) & D = k1_trees_4(k4_tarski(E,k8_abcmiz_1)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = a_2_16_abcmiz_1(A,B) & ! [D] : ( r2_hidden(D,a_2_16_abcmiz_1(A,B)) => ? [F] : ( r2_tarski(F,k1_relset_1(k2_abcmiz_1,B)) & k1_funct_1(B,F) = k1_trees_4(k4_tarski(D,k8_abcmiz_1)) & k1_funct_1(C,D) = k1_trees_4(k4_tarski(F,k8_abcmiz_1)) ) ) ) ) ) )).
fof(s1_classes1__e2_2__zf_colla,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ? [E] : ( v3_ordinal1(E) & E = C & D = k1_zf_colla(A,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ? [F] : ( v3_ordinal1(F) & F = D & k1_funct_1(C,D) = k1_zf_colla(A,F) ) ) ) ) ) )).
fof(s1_classes1__e2_34__tops_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( F = D => E = k9_subset_1(u1_struct_0(A),F,B) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( G = E => k1_funct_1(D,E) = k9_subset_1(u1_struct_0(A),G,B) ) ) ) ) ) ) )).
fof(s1_classes1__e2_38__tops_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( F = D => E = k9_subset_1(u1_struct_0(A),F,B) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( G = E => k1_funct_1(D,E) = k9_subset_1(u1_struct_0(A),G,B) ) ) ) ) ) ) )).
fof(s1_classes1__e2_3__friends1,axiom,( ! [A] : ( v1_relat_1(A) => ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ! [D] : ! [E] : ( k4_tarski(D,E) = B => k4_tarski(E,D) = C ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ! [F] : ! [G] : ( k4_tarski(F,G) = C => k4_tarski(G,F) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(s1_classes1__e2_45_1_2_4__groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & ~ v1_xboole_0(D) & v1_ideal_1(D,k12_polynom1(A,C)) & v2_ideal_1(D,k12_polynom1(A,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k15_pre_poly(A))) ) => ( ! [F] : ~ ( r2_hidden(F,E) & ! [G] : G != a_5_4_groeb_1(A,B,C,D,F) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( r2_hidden(G,E) => k1_funct_1(F,G) = a_5_4_groeb_1(A,B,C,D,G) ) ) ) ) )).
fof(s1_classes1__e2_46__trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k1_trees_1(A)) & ! [C] : ~ ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & B = D & C = k1_nat_1(k3_finseq_1(D),1) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_trees_1(A) & ! [C] : ( r2_hidden(C,k1_trees_1(A)) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & C = E & k1_funct_1(B,C) = k1_nat_1(k3_finseq_1(E),1) ) ) ) ) ) )).
fof(s1_classes1__e2_48__bspace,axiom,( ! [A] : ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ( r2_hidden(B,A) & C = k1_tarski(B) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ( r2_hidden(C,A) & k1_funct_1(B,C) = k1_tarski(C) ) ) ) ) )).
fof(s1_classes1__e2_49__euclid_6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) ) => ( ! [C] : ~ ( r2_hidden(C,u1_struct_0(k15_euclid(A))) & ! [D] : ~ ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) & E = C & D = k12_euclid(k5_algstr_0(k15_euclid(A),E,B)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = u1_struct_0(k15_euclid(A)) & ! [D] : ( r2_hidden(D,u1_struct_0(k15_euclid(A))) => ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) & F = D & k1_funct_1(C,D) = k12_euclid(k5_algstr_0(k15_euclid(A),F,B)) ) ) ) ) ) )).
fof(s1_classes1__e2_54_6__groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & ~ v1_xboole_0(D) & v1_ideal_1(D,k12_polynom1(A,C)) & v2_ideal_1(D,k12_polynom1(A,C)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k15_pre_poly(A))) ) => ( ! [F] : ~ ( r2_hidden(F,E) & ! [G] : G != a_5_10_groeb_1(A,B,C,D,F) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( r2_hidden(G,E) => k1_funct_1(F,G) = a_5_10_groeb_1(A,B,C,D,G) ) ) ) ) )).
fof(s1_classes1__e2_54_7__groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & ? [G] : ( m1_subset_1(G,C) & D = G & E = F & G = k1_groeb_1(A,B,F) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & ? [I] : ( m1_subset_1(I,C) & E = I & k1_funct_1(D,E) = H & I = k1_groeb_1(A,B,H) ) ) ) ) ) ) )).
fof(s1_classes1__e2_57__funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k1_funct_2(k3_card_3(k2_card_3(B)),A)) & ! [D] : ~ ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & C = E & D = F & k9_xtuple_0(F) = k9_xtuple_0(B) & ! [G] : ( r2_hidden(G,k9_xtuple_0(B)) => ( ( k1_funct_1(B,G) = k1_xboole_0 => k1_funct_1(F,G) = k1_xboole_0 ) & ( k1_funct_1(B,G) != k1_xboole_0 => k1_funct_1(F,G) = k1_funct_1(k3_funct_5(E),G) ) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_funct_2(k3_card_3(k2_card_3(B)),A) & ! [D] : ( r2_hidden(D,k1_funct_2(k3_card_3(k2_card_3(B)),A)) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & D = H & k1_funct_1(C,D) = I & k9_xtuple_0(I) = k9_xtuple_0(B) & ! [J] : ( r2_hidden(J,k9_xtuple_0(B)) => ( ( k1_funct_1(B,J) = k1_xboole_0 => k1_funct_1(I,J) = k1_xboole_0 ) & ( k1_funct_1(B,J) != k1_xboole_0 => k1_funct_1(I,J) = k1_funct_1(k3_funct_5(H),J) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e2_65_10_1_1_2_1__prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & m1_prob_3(D,A,B) & v5_relat_1(E,B) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [G] : ~ ( r2_hidden(G,k4_ordinal1) & ! [H] : ~ ? [I] : ( v7_ordinal1(I) & I = G & ( I = k5_numbers => H = k5_numbers ) & ( r1_xxreal_0(I,k3_finseq_1(k9_prob_3(A,B,D,C))) => ( I = k5_numbers | H = k1_funct_1(F,I) ) ) & ~ ( I != k5_numbers & ~ r1_xxreal_0(I,k3_finseq_1(k9_prob_3(A,B,D,C))) & H != k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k8_prob_1(A,B,E,C)),k3_finseq_1(k9_prob_3(A,B,D,C))) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = k4_ordinal1 & ! [H] : ( r2_hidden(H,k4_ordinal1) => ? [J] : ( v7_ordinal1(J) & J = H & ( J = k5_numbers => k1_funct_1(G,H) = k5_numbers ) & ( r1_xxreal_0(J,k3_finseq_1(k9_prob_3(A,B,D,C))) => ( J = k5_numbers | k1_funct_1(G,H) = k1_funct_1(F,J) ) ) & ~ ( J != k5_numbers & ~ r1_xxreal_0(J,k3_finseq_1(k9_prob_3(A,B,D,C))) & k1_funct_1(G,H) != k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k8_prob_1(A,B,E,C)),k3_finseq_1(k9_prob_3(A,B,D,C))) ) ) ) ) ) ) )).
fof(s1_classes1__e2_68__group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_group_2(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,k15_group_2(A,C)) & ! [E] : ~ ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & D = k13_group_2(A,C,F) & E = k13_group_2(A,k6_group_3(A,C,B),k2_group_3(A,F,B)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k15_group_2(A,C) & ! [E] : ( r2_hidden(E,k15_group_2(A,C)) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & E = k13_group_2(A,C,G) & k1_funct_1(D,E) = k13_group_2(A,k6_group_3(A,C,B),k2_group_3(A,G,B)) ) ) ) ) ) )).
fof(s1_classes1__e2_6__mycielsk,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ? [E] : ( E = C & D = o_1_0_mycielsk(E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ? [F] : ( F = D & k1_funct_1(C,D) = o_1_0_mycielsk(F) ) ) ) ) ) )).
fof(s1_classes1__e2_7__tops_2,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k7_setfam_1(u1_struct_0(A),B)) & ! [D] : ~ ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = C => D = k3_subset_1(u1_struct_0(A),E) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k7_setfam_1(u1_struct_0(A),B) & ! [D] : ( r2_hidden(D,k7_setfam_1(u1_struct_0(A),B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( F = D => k1_funct_1(C,D) = k3_subset_1(u1_struct_0(A),F) ) ) ) ) ) ) )).
fof(s1_classes1__e2_82_1_1__trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_trees_2(A,B)) & ! [D] : ~ ? [E] : ( m1_trees_1(E,A) & C = E & D = k1_trees_2(A,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_trees_2(A,B) & ! [D] : ( r2_hidden(D,k2_trees_2(A,B)) => ? [F] : ( m1_trees_1(F,A) & D = F & k1_funct_1(C,D) = k1_trees_2(A,F) ) ) ) ) ) )).
fof(s1_classes1__e2_86__algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ? [E] : ( v7_ordinal1(E) & E = C & D = k9_funct_2(k11_algstr_4(A,E),u1_struct_0(B)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( r2_hidden(D,k4_ordinal1) => ? [F] : ( v7_ordinal1(F) & F = D & k1_funct_1(C,D) = k9_funct_2(k11_algstr_4(A,F),u1_struct_0(B)) ) ) ) ) ) )).
fof(s1_classes1__e2_8_1__matrprob,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ? [G] : ( v7_ordinal1(G) & G = E & ( G = k5_numbers => F = A ) & ( r1_xxreal_0(G,C) => ( G = k5_numbers | F = k8_nat_1(k1_numbers,D,G) ) ) & ~ ( G != k5_numbers & ~ r1_xxreal_0(G,C) & F != B ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_ordinal1 & ! [F] : ( r2_hidden(F,k4_ordinal1) => ? [H] : ( v7_ordinal1(H) & H = F & ( H = k5_numbers => k1_funct_1(E,F) = A ) & ( r1_xxreal_0(H,C) => ( H = k5_numbers | k1_funct_1(E,F) = k8_nat_1(k1_numbers,D,H) ) ) & ~ ( H != k5_numbers & ~ r1_xxreal_0(H,C) & k1_funct_1(E,F) != B ) ) ) ) ) ) )).
fof(s1_classes1__e2_91__jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ~ ( r2_hidden(B,u1_struct_0(k15_euclid(A))) & ! [C] : ~ ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) & D = B & C = k12_euclid(D) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = u1_struct_0(k15_euclid(A)) & ! [C] : ( r2_hidden(C,u1_struct_0(k15_euclid(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) & E = C & k1_funct_1(B,C) = k12_euclid(E) ) ) ) ) ) )).
fof(s1_classes1__e2_9__zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ? [D] : ( v3_ordinal1(D) & C = D & r2_hidden(B,k1_zf_colla(A,D)) & ! [E] : ( v3_ordinal1(E) => ( r2_hidden(B,k1_zf_colla(A,E)) => r1_ordinal1(D,E) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ? [F] : ( v3_ordinal1(F) & k1_funct_1(B,C) = F & r2_hidden(C,k1_zf_colla(A,F)) & ! [G] : ( v3_ordinal1(G) => ( r2_hidden(C,k1_zf_colla(A,G)) => r1_ordinal1(F,G) ) ) ) ) ) ) ) )).
fof(s1_classes1__e36_43__mfold_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [E] : ~ ( r2_hidden(E,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B)))) & ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( G = k1_funct_1(C,F) => k1_tops_1(A,G) = E ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B))) & ! [F] : ( r2_hidden(F,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B)))) => ( r2_hidden(k1_funct_1(E,F),B) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ( H = k1_funct_1(C,k1_funct_1(E,F)) => k1_tops_1(A,H) = F ) ) ) ) ) ) ) )).
fof(s1_classes1__e37_28_2__waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & H = E & G = F & r2_tarski(G,B) & ~ r3_orders_2(A,G,C) & r1_waybel_3(A,G,H) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( r2_hidden(F,D) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = F & I = k1_funct_1(E,F) & r2_tarski(I,B) & ~ r3_orders_2(A,I,C) & r1_waybel_3(A,I,J) ) ) ) ) ) ) )).
fof(s1_classes1__e3_10_3__zf_colla,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k1_zf_colla(A,B)) & ! [D] : ~ ? [E] : ? [F] : ( E = C & F = D & ! [G] : ( r2_hidden(G,F) <=> ? [H] : ( m1_subset_1(H,A) & ? [I] : ( v3_ordinal1(I) & ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & r2_tarski(H,E) & r2_tarski(I,B) & r2_tarski(H,k1_zf_colla(A,I)) & k9_xtuple_0(J) = k1_zf_colla(A,I) & ! [K] : ( m1_subset_1(K,A) => ( r2_tarski(K,k1_zf_colla(A,I)) => k1_funct_1(J,K) = k7_relat_1(J,K) ) ) & G = k1_funct_1(J,H) ) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_zf_colla(A,B) & ! [D] : ( r2_hidden(D,k1_zf_colla(A,B)) => ? [L] : ? [M] : ( L = D & M = k1_funct_1(C,D) & ! [N] : ( r2_hidden(N,M) <=> ? [O] : ( m1_subset_1(O,A) & ? [P] : ( v3_ordinal1(P) & ? [Q] : ( v1_relat_1(Q) & v1_funct_1(Q) & r2_tarski(O,L) & r2_tarski(P,B) & r2_tarski(O,k1_zf_colla(A,P)) & k9_xtuple_0(Q) = k1_zf_colla(A,P) & ! [R] : ( m1_subset_1(R,A) => ( r2_tarski(R,k1_zf_colla(A,P)) => k1_funct_1(Q,R) = k7_relat_1(Q,R) ) ) & N = k1_funct_1(Q,O) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e3_127__fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_partfun1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ r2_hidden(k4_tarski(C,D),B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => r2_hidden(k4_tarski(D,k1_funct_1(C,D)),B) ) ) ) ) )).
fof(s1_classes1__e3_13__card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ~ ( r2_hidden(B,k3_finseq_2(A)) & ! [C] : ~ ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & B = D & C = k3_finseq_1(D) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k3_finseq_2(A) & ! [C] : ( r2_hidden(C,k3_finseq_2(A)) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & C = E & k1_funct_1(B,C) = k3_finseq_1(E) ) ) ) ) ) )).
fof(s1_classes1__e3_13__group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ! [B] : ~ ( r2_hidden(B,k1_group_3(A)) & ! [C] : ~ ? [D] : ( v15_algstr_0(D) & m1_group_2(D,A) & B = D & C = u1_struct_0(D) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_group_3(A) & ! [C] : ( r2_hidden(C,k1_group_3(A)) => ? [E] : ( v15_algstr_0(E) & m1_group_2(E,A) & C = E & k1_funct_1(B,C) = u1_struct_0(E) ) ) ) ) ) )).
fof(s1_classes1__e3_199_2_1_2__scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_scmyciel(A) & v11_scmyciel(A) & v1_finset_1(B) & v10_scmyciel(B,A) & m1_eqrel_1(B,k3_tarski(A)) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ? [F] : ( F = D & E = k2_xboole_0(F,k1_funct_1(C,D)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & ! [E] : ( r2_hidden(E,B) => ? [G] : ( G = E & k1_funct_1(D,E) = k2_xboole_0(G,k1_funct_1(C,E)) ) ) ) ) ) )).
fof(s1_classes1__e3_22_1__topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ! [D] : ~ ( r2_hidden(D,k2_zfmisc_1(k2_struct_0(B),u1_pre_topc(B))) & ! [E] : ~ ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) => ( D = k4_tarski(F,G) => ( r2_hidden(E,u1_pre_topc(B)) & ( ~ r2_tarski(F,G) => E = k1_struct_0(B) ) & ~ ( r2_tarski(F,G) & ! [H] : ( ( v3_pre_topc(H,B) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( H = E & r2_tarski(F,H) & r1_tarski(H,G) & v1_topdim_1(k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,H)),B) & r1_xxreal_0(k2_topdim_1(B,k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,H))),k3_xxreal_3(A,1)) ) ) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_zfmisc_1(k2_struct_0(B),u1_pre_topc(B)) & ! [E] : ( r2_hidden(E,k2_zfmisc_1(k2_struct_0(B),u1_pre_topc(B))) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(B))) => ( E = k4_tarski(I,J) => ( r2_hidden(k1_funct_1(D,E),u1_pre_topc(B)) & ( ~ r2_tarski(I,J) => k1_funct_1(D,E) = k1_struct_0(B) ) & ~ ( r2_tarski(I,J) & ! [K] : ( ( v3_pre_topc(K,B) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( K = k1_funct_1(D,E) & r2_tarski(I,K) & r1_tarski(K,J) & v1_topdim_1(k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,K)),B) & r1_xxreal_0(k2_topdim_1(B,k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,K))),k3_xxreal_3(A,1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e3_38__group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_funct_2(A,A)) & v1_group_10(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_funct_2(A,A)))) ) => ( ! [D] : ~ ( r2_hidden(D,k12_group_10(B,A,C)) & ! [E] : ~ ? [F] : ( m1_subset_1(F,A) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) & D = F & E = G & G = k13_group_10(B,A,C,F) & r1_group_10(B,A,C,F) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k12_group_10(B,A,C) & ! [E] : ( r2_hidden(E,k12_group_10(B,A,C)) => ? [H] : ( m1_subset_1(H,A) & ? [I] : ( m1_subset_1(I,k1_zfmisc_1(A)) & E = H & k1_funct_1(D,E) = I & I = k13_group_10(B,A,C,H) & r1_group_10(B,A,C,H) ) ) ) ) ) ) )).
fof(s1_classes1__e3_40_4_1_1_2__rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ? [E] : ( v1_rlvect_1(E) & m1_rlsub_1(E,A) & C = E & D = u1_struct_0(E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ? [F] : ( v1_rlvect_1(F) & m1_rlsub_1(F,A) & D = F & k1_funct_1(C,D) = u1_struct_0(F) ) ) ) ) ) )).
fof(s1_classes1__e3_41_2_1_1_2__rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ? [E] : ( v1_bhsp_1(E) & m1_rusub_1(E,A) & C = E & D = u1_struct_0(E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ? [F] : ( v1_bhsp_1(F) & m1_rusub_1(F,A) & D = F & k1_funct_1(C,D) = u1_struct_0(F) ) ) ) ) ) )).
fof(s1_classes1__e3_43__prvect_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & m1_prvect_1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k4_finseq_1(A)) & ! [D] : ~ ? [E] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(A)) & C = E & D = k3_binop_1(k1_funct_1(A,E),k9_prvect_1(A,B,E)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_finseq_1(A) & ! [D] : ( r2_hidden(D,k4_finseq_1(A)) => ? [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(A)) & D = F & k1_funct_1(C,D) = k3_binop_1(k1_funct_1(A,F),k9_prvect_1(A,B,F)) ) ) ) ) ) )).
fof(s1_classes1__e3_46_2__card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k9_xtuple_0(A)) & ! [C] : ~ ? [D] : ( D = C & ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,k1_funct_2(k1_card_1(k1_funct_1(A,B)),k1_funct_1(A,B))) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & E = F & k10_xtuple_0(F) = k1_funct_1(A,B) ) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => ? [G] : ( G = k1_funct_1(B,C) & ! [H] : ( r2_hidden(H,G) <=> ( r2_hidden(H,k1_funct_2(k1_card_1(k1_funct_1(A,C)),k1_funct_1(A,C))) & ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & H = I & k10_xtuple_0(I) = k1_funct_1(A,C) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e3_47_1_3_1__frechet,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ? [D] : ( D = C & r2_hidden(B,D) & r2_hidden(C,u1_pre_topc(k3_topmetr)) & k9_subset_1(u1_struct_0(k3_topmetr),D,A) = k1_xboole_0 ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( r2_hidden(C,k4_ordinal1) => ? [E] : ( E = k1_funct_1(B,C) & r2_hidden(C,E) & r2_hidden(k1_funct_1(B,C),u1_pre_topc(k3_topmetr)) & k9_subset_1(u1_struct_0(k3_topmetr),E,A) = k1_xboole_0 ) ) ) ) ) )).
fof(s1_classes1__e3_54__waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( ! [B] : ~ ( r2_hidden(B,u1_struct_0(A)) & ! [C] : ~ ? [D] : ( D = C & r1_tarski(D,k3_waybel_6(k7_lattice3(A))) & B = k1_yellow_0(A,D) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = u1_struct_0(A) & ! [C] : ( r2_hidden(C,u1_struct_0(A)) => ? [E] : ( E = k1_funct_1(B,C) & r1_tarski(E,k3_waybel_6(k7_lattice3(A))) & C = k1_yellow_0(A,E) ) ) ) ) ) )).
fof(s1_classes1__e3_55_2__waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & m1_subset_1(E,u1_struct_0(A)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( r2_hidden(G,k1_funct_1(C,F)) & r2_hidden(k4_tarski(E,k1_funct_1(k1_funct_1(D,F),G)),u1_orders_2(A)) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = B & ! [G] : ( r2_hidden(G,B) => ( r2_hidden(k1_funct_1(F,G),k1_funct_1(C,G)) & r2_hidden(k4_tarski(E,k1_funct_1(k1_funct_1(D,G),k1_funct_1(F,G))),u1_orders_2(A)) ) ) ) ) ) )).
fof(s1_classes1__e3_57_1_1_1__yellow_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & v1_relat_1(E) & v1_funct_1(E) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ r2_hidden(G,k6_subset_1(k1_funct_1(C,F),a_6_1_yellow_7(A,B,C,D,E,F))) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = B & ! [G] : ( r2_hidden(G,B) => r2_hidden(k1_funct_1(F,G),k6_subset_1(k1_funct_1(C,G),a_6_1_yellow_7(A,B,C,D,E,G))) ) ) ) ) )).
fof(s1_classes1__e3_57_2_1__yellow_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & v1_relat_1(E) & v1_funct_1(E) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ r2_hidden(G,k6_subset_1(k1_funct_1(C,F),a_6_1_yellow_7(A,B,C,D,E,F))) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = B & ! [G] : ( r2_hidden(G,B) => r2_hidden(k1_funct_1(F,G),k6_subset_1(k1_funct_1(C,G),a_6_1_yellow_7(A,B,C,D,E,G))) ) ) ) ) )).
fof(s1_classes1__e3_62_1__msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m2_pboole(D,u1_struct_0(A),C,u3_msualg_1(A,B)) & m1_subset_1(E,u4_struct_0(A)) & m1_msaterm(F,A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E)) ) => ( ! [G] : ~ ( r2_hidden(G,k4_finseq_1(F)) & ! [H] : ~ ? [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & v1_finset_1(J) & v3_trees_2(J) & H = J & I = k1_funct_1(F,G) & r1_msaterm(A,B,C,I,D,J) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = k4_finseq_1(F) & ! [H] : ( r2_hidden(H,k4_finseq_1(F)) => ? [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v1_finset_1(L) & v3_trees_2(L) & k1_funct_1(G,H) = L & K = k1_funct_1(F,H) & r1_msaterm(A,B,C,K,D,L) ) ) ) ) ) ) )).
fof(s1_classes1__e3_63_1__topdim_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ~ ( r2_hidden(C,k2_zfmisc_1(k2_struct_0(A),u1_pre_topc(A))) & ! [D] : ~ ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( C = k4_tarski(E,F) => ( r2_hidden(D,u1_pre_topc(A)) & ( ~ r2_tarski(E,F) => D = k1_struct_0(A) ) & ~ ( r2_tarski(E,F) & ! [G] : ( ( v3_pre_topc(G,A) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( G = D & r2_tarski(E,G) & r1_tarski(G,F) & r1_xboole_0(B,k2_tops_1(A,G)) ) ) ) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_zfmisc_1(k2_struct_0(A),u1_pre_topc(A)) & ! [D] : ( r2_hidden(D,k2_zfmisc_1(k2_struct_0(A),u1_pre_topc(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ( D = k4_tarski(H,I) => ( r2_hidden(k1_funct_1(C,D),u1_pre_topc(A)) & ( ~ r2_tarski(H,I) => k1_funct_1(C,D) = k1_struct_0(A) ) & ~ ( r2_tarski(H,I) & ! [J] : ( ( v3_pre_topc(J,A) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( J = k1_funct_1(C,D) & r2_tarski(H,J) & r1_tarski(J,I) & r1_xboole_0(B,k2_tops_1(A,J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e3_65_1_2__trees_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m4_trees_1(B,k2_trees_1(k1_nat_1(A,1))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ? [E] : ( v7_ordinal1(E) & C = k9_finseq_1(E) & D = k1_nat_1(E,1) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ? [F] : ( v7_ordinal1(F) & D = k9_finseq_1(F) & k1_funct_1(C,D) = k1_nat_1(F,1) ) ) ) ) ) )).
fof(s1_classes1__e3_80_1_2_1_2__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v3_necklace(B) & m1_mycielsk(B,A) & v1_finset_1(C) & v6_dilworth(C,B) & m1_eqrel_1(C,u1_struct_0(B)) & v1_relat_1(D) & v1_funct_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ? [G] : ( G = E & F = k2_xboole_0(G,k1_funct_1(D,E)) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = C & ! [F] : ( r2_hidden(F,C) => ? [H] : ( H = F & k1_funct_1(E,F) = k2_xboole_0(H,k1_funct_1(D,F)) ) ) ) ) ) )).
fof(s1_classes1__e3_84_1__classes1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k10_xtuple_0(A)) & ! [D] : ~ ( v1_relat_1(D) & v1_funct_1(D) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( D = E => ( k9_xtuple_0(E) = k8_relat_1(A,k1_tarski(C)) & k10_xtuple_0(E) = k8_relat_1(B,k1_tarski(C)) & v2_funct_1(E) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k10_xtuple_0(A) & ! [D] : ( r2_hidden(D,k10_xtuple_0(A)) => ( v1_relat_1(k1_funct_1(C,D)) & v1_funct_1(k1_funct_1(C,D)) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( k1_funct_1(C,D) = F => ( k9_xtuple_0(F) = k8_relat_1(A,k1_tarski(D)) & k10_xtuple_0(F) = k8_relat_1(B,k1_tarski(D)) & v2_funct_1(F) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e3_84_1__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ~ ( r2_hidden(D,k1_relset_1(A,B)) & ! [E] : ~ ( ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k2_nat_1(k11_newton(2,C),C)) & r1_xxreal_0(k2_extreal1(k3_xxreal_3(F,1),k11_newton(2,C)),k1_funct_1(B,D)) ) => ( r1_xxreal_0(k2_extreal1(F,k11_newton(2,C)),k1_funct_1(B,D)) | E = k2_extreal1(k3_xxreal_3(F,1),k11_newton(2,C)) ) ) ) & ( r1_xxreal_0(C,k1_funct_1(B,D)) => E = C ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_relset_1(A,B) & ! [E] : ( r2_hidden(E,k1_relset_1(A,B)) => ( ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k2_nat_1(k11_newton(2,C),C)) & r1_xxreal_0(k2_extreal1(k3_xxreal_3(G,1),k11_newton(2,C)),k1_funct_1(B,E)) ) => ( r1_xxreal_0(k2_extreal1(G,k11_newton(2,C)),k1_funct_1(B,E)) | k1_funct_1(D,E) = k2_extreal1(k3_xxreal_3(G,1),k11_newton(2,C)) ) ) ) & ( r1_xxreal_0(C,k1_funct_1(B,E)) => k1_funct_1(D,E) = C ) ) ) ) ) ) )).
fof(s1_classes1__e4_144_1_2__scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_scmyciel(A) & v11_scmyciel(A) & v1_finset_1(B) & v10_scmyciel(B,A) & m1_eqrel_1(B,k3_tarski(A)) & m1_subset_1(C,k1_zfmisc_1(k3_tarski(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( F = E & ! [G] : ( m1_subset_1(G,k3_tarski(A)) => ( D = G => ( E != C & r2_hidden(E,B) & ! [H] : ( m1_subset_1(H,k3_tarski(A)) => ~ ( r2_tarski(H,k4_scmyciel(A,G)) & r2_tarski(H,F) ) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [I] : ( I = k1_funct_1(D,E) & ! [J] : ( m1_subset_1(J,k3_tarski(A)) => ( E = J => ( k1_funct_1(D,E) != C & r2_hidden(k1_funct_1(D,E),B) & ! [K] : ( m1_subset_1(K,k3_tarski(A)) => ~ ( r2_tarski(K,k4_scmyciel(A,J)) & r2_tarski(K,I) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e4_15__waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v2_pre_topc(B) & v2_waybel19(B) & m1_yellow_9(B,A) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & F = D & E = k4_waybel_0(B,F) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & G = E & k1_funct_1(D,E) = k4_waybel_0(B,G) ) ) ) ) ) )).
fof(s1_classes1__e4_199__scmyciel,axiom,( ! [A] : ! [B] : ( ( v4_scmyciel(A) & v11_scmyciel(A) & v1_finset_1(B) & v10_scmyciel(B,A) & m1_eqrel_1(B,k3_tarski(A)) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ? [E] : ( E = C & D = a_2_4_scmyciel(A,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ? [F] : ( F = D & k1_funct_1(C,D) = a_2_4_scmyciel(A,F) ) ) ) ) ) )).
fof(s1_classes1__e4_231__valued_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k1_relset_1(k4_ordinal1,B)) & ! [D] : ~ ? [E] : ( m1_subset_1(E,k4_ordinal1) & E = C & D = k1_nat_1(A,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_relset_1(k4_ordinal1,B) & ! [D] : ( r2_hidden(D,k1_relset_1(k4_ordinal1,B)) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = D & k1_funct_1(C,D) = k1_nat_1(A,F) ) ) ) ) ) )).
fof(s1_classes1__e4_28__card_3,axiom,( ! [A] : ! [B] : ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & C = E & D = k1_funct_1(E,A) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & D = F & k1_funct_1(C,D) = k1_funct_1(F,A) ) ) ) ) )).
fof(s1_classes1__e4_30__simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ? [E] : ( E = D & r2_hidden(C,E) & r2_hidden(D,B) & ! [F] : ( ( r2_tarski(F,B) & r2_hidden(C,F) ) => r1_tarski(E,F) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => ? [G] : ( G = k1_funct_1(C,D) & r2_hidden(D,G) & r2_hidden(k1_funct_1(C,D),B) & ! [H] : ( ( r2_tarski(H,B) & r2_hidden(D,H) ) => r1_tarski(G,H) ) ) ) ) ) ) )).
fof(s1_classes1__e4_33__dist_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k4_finseq_1(k9_dist_1(A,B))) & ! [D] : ~ ? [E] : ( m1_subset_1(E,A) & E = k1_funct_1(k19_finseq_1(A),C) & D = k1_dist_1(A,B,E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_finseq_1(k9_dist_1(A,B)) & ! [D] : ( r2_hidden(D,k4_finseq_1(k9_dist_1(A,B))) => ? [F] : ( m1_subset_1(F,A) & F = k1_funct_1(k19_finseq_1(A),D) & k1_funct_1(C,D) = k1_dist_1(A,B,F) ) ) ) ) ) )).
fof(s1_classes1__e4_37__borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,k1_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k8_borsuk_1(A,B))) & r2_hidden(F,D) & E = k1_funct_1(k8_borsuk_1(A,B),F) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = C & ! [F] : ( r2_hidden(F,C) => ( r2_hidden(k1_funct_1(E,F),k1_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k8_borsuk_1(A,B))) & r2_hidden(k1_funct_1(E,F),D) & F = k1_funct_1(k8_borsuk_1(A,B),k1_funct_1(E,F)) ) ) ) ) ) )).
fof(s1_classes1__e4_55_1_2__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_mycielsk(A) & l1_orders_2(A) & v1_finset_1(B) & v6_dilworth(B,A) & m1_eqrel_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( F = E & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( D = G => ( E != C & r2_hidden(E,B) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,k4_mycielsk(A,G)) & r2_tarski(H,F) ) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [I] : ( I = k1_funct_1(D,E) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( E = J => ( k1_funct_1(D,E) != C & r2_hidden(k1_funct_1(D,E),B) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ~ ( r2_tarski(K,k4_mycielsk(A,J)) & r2_tarski(K,I) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e4_55_1__topdim_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A))) & ! [D] : ~ ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( C = k4_tarski(E,F) => ( r2_hidden(D,u1_pre_topc(A)) & ( ~ r2_tarski(E,F) => D = k1_struct_0(A) ) & ~ ( r2_tarski(E,F) & ! [G] : ( ( v3_pre_topc(G,A) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( G = D & r2_tarski(E,G) & r1_tarski(G,F) & r1_xxreal_0(k2_topdim_1(A,k2_tops_1(A,G)),k6_xcmplx_0(B,1)) ) ) ) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A)) & ! [D] : ( r2_hidden(D,k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ( D = k4_tarski(H,I) => ( r2_hidden(k1_funct_1(C,D),u1_pre_topc(A)) & ( ~ r2_tarski(H,I) => k1_funct_1(C,D) = k1_struct_0(A) ) & ~ ( r2_tarski(H,I) & ! [J] : ( ( v3_pre_topc(J,A) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( J = k1_funct_1(C,D) & r2_tarski(H,J) & r1_tarski(J,I) & r1_xxreal_0(k2_topdim_1(A,k2_tops_1(A,J)),k6_xcmplx_0(B,1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e4_59__funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k4_card_3(k8_funct_6(A,B))) & ! [D] : ~ ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_funcop_1(E) & C = E & D = k5_funct_6(E) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_card_3(k8_funct_6(A,B)) & ! [D] : ( r2_hidden(D,k4_card_3(k8_funct_6(A,B))) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_funcop_1(F) & D = F & k1_funct_1(C,D) = k5_funct_6(F) ) ) ) ) ) )).
fof(s1_classes1__e4_60_1_2_1__topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [E] : ~ ( r2_hidden(E,k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k9_setfam_1(C),k9_setfam_1(C)))) & ! [F] : ~ ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ( E = k4_tarski(G,k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),H,I)) => ( ( ~ r1_xboole_0(k2_pre_topc(A,H),k2_pre_topc(A,I)) => F = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),H,I) ) & ~ ( r1_xboole_0(k2_pre_topc(A,H),k2_pre_topc(A,I)) & ! [J] : ( ( v3_pre_topc(J,A) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) ) => ! [K] : ( ( v3_pre_topc(K,A) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(k8_nat_1(B,D,G),k4_subset_1(u1_struct_0(A),J,K)) & r1_tarski(k2_pre_topc(A,H),J) & r1_tarski(k2_pre_topc(A,I),K) & F = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),J,K) & r1_xboole_0(k2_pre_topc(A,J),k2_pre_topc(A,K)) ) ) ) ) ) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k9_setfam_1(C),k9_setfam_1(C))) & ! [F] : ( r2_hidden(F,k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k9_setfam_1(C),k9_setfam_1(C)))) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(A))) => ! [N] : ( m1_subset_1(N,k1_zfmisc_1(u1_struct_0(A))) => ( F = k4_tarski(L,k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),M,N)) => ( ( ~ r1_xboole_0(k2_pre_topc(A,M),k2_pre_topc(A,N)) => k1_funct_1(E,F) = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),M,N) ) & ~ ( r1_xboole_0(k2_pre_topc(A,M),k2_pre_topc(A,N)) & ! [O] : ( ( v3_pre_topc(O,A) & m1_subset_1(O,k1_zfmisc_1(u1_struct_0(A))) ) => ! [P] : ( ( v3_pre_topc(P,A) & m1_subset_1(P,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(k8_nat_1(B,D,L),k4_subset_1(u1_struct_0(A),O,P)) & r1_tarski(k2_pre_topc(A,M),O) & r1_tarski(k2_pre_topc(A,N),P) & k1_funct_1(E,F) = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),O,P) & r1_xboole_0(k2_pre_topc(A,O),k2_pre_topc(A,P)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e4_80_1__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v3_necklace(B) & m1_mycielsk(B,A) & v1_finset_1(C) & v6_dilworth(C,B) & m1_eqrel_1(C,u1_struct_0(B)) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( F = D & E = a_2_5_mycielsk(A,F) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [G] : ( G = E & k1_funct_1(D,E) = a_2_5_mycielsk(A,G) ) ) ) ) ) )).
fof(s1_classes1__e4_89_1_1_2__euclid_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k2_finseq_1(A)) & ! [C] : ~ ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = B => C = k6_euclid_7(A,D) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k2_finseq_1(A) & ! [C] : ( r2_hidden(C,k2_finseq_1(A)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = C => k1_funct_1(B,C) = k6_euclid_7(A,E) ) ) ) ) ) ) )).
fof(s1_classes1__e51_7__convex3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_convex1(C,A) & m2_rlvect_2(C,A,B) & m2_finseq_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & v1_xreal_0(F) ) => ( ! [G] : ~ ( r2_hidden(G,u1_struct_0(A)) & ! [H] : ~ ( ( r2_hidden(G,k6_subset_1(k10_xtuple_0(D),k6_domain_1(u1_struct_0(A),E))) => H = k3_xcmplx_0(k7_xcmplx_0(1,k6_xcmplx_0(1,F)),k1_funct_1(C,G)) ) & ( ~ r2_hidden(G,k6_subset_1(k10_xtuple_0(D),k6_domain_1(u1_struct_0(A),E))) => H = k5_numbers ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = u1_struct_0(A) & ! [H] : ( r2_hidden(H,u1_struct_0(A)) => ( ( r2_hidden(H,k6_subset_1(k10_xtuple_0(D),k6_domain_1(u1_struct_0(A),E))) => k1_funct_1(G,H) = k3_xcmplx_0(k7_xcmplx_0(1,k6_xcmplx_0(1,F)),k1_funct_1(C,H)) ) & ( ~ r2_hidden(H,k6_subset_1(k10_xtuple_0(D),k6_domain_1(u1_struct_0(A),E))) => k1_funct_1(G,H) = k5_numbers ) ) ) ) ) ) )).
fof(s1_classes1__e5_16__modal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m2_finseq_1(B,k4_ordinal1) & m1_trees_1(C,A) & m1_trees_1(D,k4_trees_1(A,B)) ) => ( ! [E] : ~ ( r2_hidden(E,k1_trees_2(A,C)) & ! [F] : ~ ! [G] : ( v7_ordinal1(G) => ( E = k8_finseq_1(k4_ordinal1,C,k14_trees_3(G)) => F = k8_finseq_1(k4_ordinal1,D,k14_trees_3(G)) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k1_trees_2(A,C) & ! [F] : ( r2_hidden(F,k1_trees_2(A,C)) => ! [H] : ( v7_ordinal1(H) => ( F = k8_finseq_1(k4_ordinal1,C,k14_trees_3(H)) => k1_funct_1(E,F) = k8_finseq_1(k4_ordinal1,D,k14_trees_3(H)) ) ) ) ) ) ) )).
fof(s1_classes1__e5_1_1_1__simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_card_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & F = E & k9_xtuple_0(F) = k1_funct_1(C,D) & k10_xtuple_0(F) = B & v2_funct_1(F) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = A & ! [E] : ( r2_hidden(E,A) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & G = k1_funct_1(D,E) & k9_xtuple_0(G) = k1_funct_1(C,E) & k10_xtuple_0(G) = B & v2_funct_1(G) ) ) ) ) ) )).
fof(s1_classes1__e5_20_3__msafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C)))) & ! [E] : ~ r2_hidden(E,k2_msafree(u1_struct_0(A),B,k1_funct_1(k1_msualg_1(A,C),D))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C))) & ! [E] : ( r2_hidden(E,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C)))) => r2_hidden(k1_funct_1(D,E),k2_msafree(u1_struct_0(A),B,k1_funct_1(k1_msualg_1(A,C),E))) ) ) ) ) )).
fof(s1_classes1__e5_20__waybel18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k3_waybel18(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k3_waybel18(A,B))))) & ~ v2_struct_0(E) & v2_pre_topc(E) & l1_pre_topc(E) ) => ( ! [F] : ~ ( r2_hidden(F,A) & ! [G] : ~ ? [H] : ( m1_subset_1(H,A) & H = F & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(E),u1_struct_0(k4_waybel18(A,B,H))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(k4_waybel18(A,B,H))))) & v5_pre_topc(I,E,k4_waybel18(A,B,H)) & k2_partfun1(u1_struct_0(E),u1_struct_0(k4_waybel18(A,B,H)),I,u1_struct_0(C)) = k1_partfun1(u1_struct_0(C),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,H)),D,k6_waybel18(A,B,H)) & G = I ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = A & ! [G] : ( r2_hidden(G,A) => ? [J] : ( m1_subset_1(J,A) & J = G & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(E),u1_struct_0(k4_waybel18(A,B,J))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(k4_waybel18(A,B,J))))) & v5_pre_topc(K,E,k4_waybel18(A,B,J)) & k2_partfun1(u1_struct_0(E),u1_struct_0(k4_waybel18(A,B,J)),K,u1_struct_0(C)) = k1_partfun1(u1_struct_0(C),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,J)),D,k6_waybel18(A,B,J)) & k1_funct_1(F,G) = K ) ) ) ) ) ) )).
fof(s1_classes1__e5_45_1__card_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k1_card_5(A)) & ! [F] : ~ ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & F = k4_tarski(G,k1_funct_1(C,E)) & k9_xtuple_0(G) = B & ! [H] : ( r2_hidden(H,B) => ( ( r2_tarski(k1_funct_1(D,H),k1_funct_1(C,E)) => k1_funct_1(G,H) = k1_funct_1(D,H) ) & ( ~ r2_tarski(k1_funct_1(D,H),k1_funct_1(C,E)) => k1_funct_1(G,H) = k5_numbers ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k1_card_5(A) & ! [F] : ( r2_hidden(F,k1_card_5(A)) => ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & k1_funct_1(E,F) = k4_tarski(I,k1_funct_1(C,F)) & k9_xtuple_0(I) = B & ! [J] : ( r2_hidden(J,B) => ( ( r2_tarski(k1_funct_1(D,J),k1_funct_1(C,F)) => k1_funct_1(I,J) = k1_funct_1(D,J) ) & ( ~ r2_tarski(k1_funct_1(D,J),k1_funct_1(C,F)) => k1_funct_1(I,J) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e5_48_2__group_19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k9_xtuple_0(A)) & ! [F] : ~ ? [G] : ( m1_subset_1(G,k9_xtuple_0(C)) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(A,G),k1_funct_1(B,G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,G),k1_funct_1(B,G)))) & E = G & H = k1_funct_1(C,G) & r2_hidden(F,k1_funct_1(A,G)) & k1_funct_1(D,G) = k1_funct_1(H,F) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k9_xtuple_0(A) & ! [F] : ( r2_hidden(F,k9_xtuple_0(A)) => ? [I] : ( m1_subset_1(I,k9_xtuple_0(C)) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k1_funct_1(A,I),k1_funct_1(B,I)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,I),k1_funct_1(B,I)))) & F = I & J = k1_funct_1(C,I) & r2_hidden(k1_funct_1(E,F),k1_funct_1(A,I)) & k1_funct_1(D,I) = k1_funct_1(J,k1_funct_1(E,F)) ) ) ) ) ) ) )).
fof(s1_classes1__e5_49__funct_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & E = F & v2_funct_1(F) & k9_xtuple_0(F) = k1_funct_1(B,D) & k10_xtuple_0(F) = k1_funct_1(C,D) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = A & ! [E] : ( r2_hidden(E,A) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k1_funct_1(D,E) = G & v2_funct_1(G) & k9_xtuple_0(G) = k1_funct_1(B,E) & k10_xtuple_0(G) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(s1_classes1__e5_4__jordan5a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ! [D] : ~ ( r2_hidden(D,k1_rcomp_1(k5_numbers,1)) & ! [E] : ~ ! [F] : ( v1_xreal_0(F) => ( F = D => E = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(A),C,F)) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_rcomp_1(k5_numbers,1) & ! [E] : ( r2_hidden(E,k1_rcomp_1(k5_numbers,1)) => ! [G] : ( v1_xreal_0(G) => ( G = E => k1_funct_1(D,E) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(A),C,G)) ) ) ) ) ) ) )).
fof(s1_classes1__e5_57_1_2__topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(k5_topmetr)) & v5_pre_topc(G,A,k5_topmetr) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_topmetr)))) & F = D & G = E & k3_funct_2(u1_struct_0(A),u1_struct_0(k5_topmetr),G,B) = k5_numbers & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(k5_topmetr),G,k3_subset_1(u1_struct_0(A),F)),k6_domain_1(k4_ordinal1,1)) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(A),u1_struct_0(k5_topmetr)) & v5_pre_topc(I,A,k5_topmetr) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_topmetr)))) & H = E & I = k1_funct_1(D,E) & k3_funct_2(u1_struct_0(A),u1_struct_0(k5_topmetr),I,B) = k5_numbers & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(k5_topmetr),I,k3_subset_1(u1_struct_0(A),H)),k6_domain_1(k4_ordinal1,1)) ) ) ) ) ) ) )).
fof(s1_classes1__e5_68__jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ~ ( r2_hidden(E,k1_rcomp_1(k5_numbers,1)) & ! [F] : ~ ! [G] : ( v1_xreal_0(G) => ( E = G => ( ( r2_hidden(G,k1_rcomp_1(k5_numbers,k7_xcmplx_0(1,2))) => F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(A,C),k6_xcmplx_0(1,k3_xcmplx_0(2,G))),k1_rlvect_1(k15_euclid(2),k19_euclid(A,D),k3_xcmplx_0(2,G))) ) & ( r2_hidden(G,k1_rcomp_1(k7_xcmplx_0(1,2),1)) => F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(A,D),k6_xcmplx_0(1,k6_xcmplx_0(k3_xcmplx_0(2,G),1))),k1_rlvect_1(k15_euclid(2),k19_euclid(B,D),k6_xcmplx_0(k3_xcmplx_0(2,G),1))) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k1_rcomp_1(k5_numbers,1) & ! [F] : ( r2_hidden(F,k1_rcomp_1(k5_numbers,1)) => ! [H] : ( v1_xreal_0(H) => ( F = H => ( ( r2_hidden(H,k1_rcomp_1(k5_numbers,k7_xcmplx_0(1,2))) => k1_funct_1(E,F) = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(A,C),k6_xcmplx_0(1,k3_xcmplx_0(2,H))),k1_rlvect_1(k15_euclid(2),k19_euclid(A,D),k3_xcmplx_0(2,H))) ) & ( r2_hidden(H,k1_rcomp_1(k7_xcmplx_0(1,2),1)) => k1_funct_1(E,F) = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(A,D),k6_xcmplx_0(1,k6_xcmplx_0(k3_xcmplx_0(2,H),1))),k1_rlvect_1(k15_euclid(2),k19_euclid(B,D),k6_xcmplx_0(k3_xcmplx_0(2,H),1))) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e5_69__jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ~ ( r2_hidden(E,k1_rcomp_1(k5_numbers,1)) & ! [F] : ~ ! [G] : ( v1_xreal_0(G) => ( E = G => ( ( r2_hidden(G,k1_rcomp_1(k5_numbers,k7_xcmplx_0(1,2))) => F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(B,D),k6_xcmplx_0(1,k3_xcmplx_0(2,G))),k1_rlvect_1(k15_euclid(2),k19_euclid(B,C),k3_xcmplx_0(2,G))) ) & ( r2_hidden(G,k1_rcomp_1(k7_xcmplx_0(1,2),1)) => F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(B,C),k6_xcmplx_0(1,k6_xcmplx_0(k3_xcmplx_0(2,G),1))),k1_rlvect_1(k15_euclid(2),k19_euclid(A,C),k6_xcmplx_0(k3_xcmplx_0(2,G),1))) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k1_rcomp_1(k5_numbers,1) & ! [F] : ( r2_hidden(F,k1_rcomp_1(k5_numbers,1)) => ! [H] : ( v1_xreal_0(H) => ( F = H => ( ( r2_hidden(H,k1_rcomp_1(k5_numbers,k7_xcmplx_0(1,2))) => k1_funct_1(E,F) = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(B,D),k6_xcmplx_0(1,k3_xcmplx_0(2,H))),k1_rlvect_1(k15_euclid(2),k19_euclid(B,C),k3_xcmplx_0(2,H))) ) & ( r2_hidden(H,k1_rcomp_1(k7_xcmplx_0(1,2),1)) => k1_funct_1(E,F) = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k19_euclid(B,C),k6_xcmplx_0(1,k6_xcmplx_0(k3_xcmplx_0(2,H),1))),k1_rlvect_1(k15_euclid(2),k19_euclid(A,C),k6_xcmplx_0(k3_xcmplx_0(2,H),1))) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e5_99__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & v5_fsm_1(C,A,B) & v7_fsm_1(C,A,B) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & v8_struct_0(D) & v5_fsm_1(D,A,B) & v7_fsm_1(D,A,B) & l2_fsm_1(D,A,B) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(C)) & ! [F] : ~ ? [G] : ( m1_subset_1(G,u1_struct_0(k11_fsm_1(A,B,k13_fsm_1(A,B,C,D)))) & r2_hidden(E,G) & r2_hidden(F,k6_subset_1(G,k1_tarski(E))) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = u1_struct_0(C) & ! [F] : ( r2_hidden(F,u1_struct_0(C)) => ? [H] : ( m1_subset_1(H,u1_struct_0(k11_fsm_1(A,B,k13_fsm_1(A,B,C,D)))) & r2_hidden(F,H) & r2_hidden(k1_funct_1(E,F),k6_subset_1(H,k1_tarski(F))) ) ) ) ) ) )).
fof(s1_classes1__e5_9_2__osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C)))) & ! [E] : ~ ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r3_orders_2(A,F,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),D)) & r2_hidden(E,k2_msafree(u1_struct_0(A),B,F)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C))) & ! [E] : ( r2_hidden(E,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C)))) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r3_orders_2(A,G,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),E)) & r2_hidden(k1_funct_1(D,E),k2_msafree(u1_struct_0(A),B,G)) ) ) ) ) ) )).
fof(s1_classes1__e69_4__topmetr2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(A,B))))) ) => ( ! [D] : ~ ( r2_hidden(D,k1_rcomp_1(k5_numbers,k7_xcmplx_0(1,2))) & ! [E] : ~ ! [F] : ( v1_xreal_0(F) => ( F = D => E = k1_funct_1(C,k3_xcmplx_0(2,F)) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_rcomp_1(k5_numbers,k7_xcmplx_0(1,2)) & ! [E] : ( r2_hidden(E,k1_rcomp_1(k5_numbers,k7_xcmplx_0(1,2))) => ! [G] : ( v1_xreal_0(G) => ( G = E => k1_funct_1(D,E) = k1_funct_1(C,k3_xcmplx_0(2,G)) ) ) ) ) ) ) )).
fof(s1_classes1__e6_11_1_2__partit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( F = E & r1_tarski(F,B) & E != k1_xboole_0 & D = k3_tarski(F) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [G] : ( G = k1_funct_1(D,E) & r1_tarski(G,B) & k1_funct_1(D,E) != k1_xboole_0 & E = k3_tarski(G) ) ) ) ) ) )).
fof(s1_classes1__e6_14__t_1topsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(k2_t_1topsp(A))) & ! [E] : ~ ? [F] : ( F = D & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(G,k2_relset_1(u1_struct_0(B),C)) & r1_tarski(F,k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),G))) ) => E = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),G)) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = u1_struct_0(k2_t_1topsp(A)) & ! [E] : ( r2_hidden(E,u1_struct_0(k2_t_1topsp(A))) => ? [H] : ( H = E & ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ( ( r2_tarski(I,k2_relset_1(u1_struct_0(B),C)) & r1_tarski(H,k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),I))) ) => k1_funct_1(D,E) = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),I)) ) ) ) ) ) ) ) )).
fof(s1_classes1__e6_14__topreal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ! [D] : ~ ( r2_hidden(D,k1_rcomp_1(k5_numbers,1)) & ! [E] : ~ ! [F] : ( v1_xreal_0(F) => ( F = D => E = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(A),C,F)) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_rcomp_1(k5_numbers,1) & ! [E] : ( r2_hidden(E,k1_rcomp_1(k5_numbers,1)) => ! [G] : ( v1_xreal_0(G) => ( G = E => k1_funct_1(D,E) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(A),C,G)) ) ) ) ) ) ) )).
fof(s1_classes1__e6_16__convex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( ( r2_hidden(D,B) => E = k1_funct_1(C,D) ) & ( ~ r2_hidden(D,B) => E = k5_numbers ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = u1_struct_0(A) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,B) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ( ~ r2_hidden(E,B) => k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_classes1__e6_28__trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v3_trees_9(A) & v1_finset_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_finseq_1(k4_card_1(B))) & ! [D] : ~ ? [E] : ( m1_subset_1(E,k4_ordinal1) & k1_nat_1(E,1) = C & D = k5_trees_2(A,k14_trees_3(E)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_finseq_1(k4_card_1(B)) & ! [D] : ( r2_hidden(D,k2_finseq_1(k4_card_1(B))) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & k1_nat_1(F,1) = D & k1_funct_1(C,D) = k5_trees_2(A,k14_trees_3(F)) ) ) ) ) ) )).
fof(s1_classes1__e6_65__trees_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) & B = D & k9_xtuple_0(D) = C ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v3_trees_2(E) & C = E & k9_xtuple_0(E) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(s1_classes1__e6_67_5__circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v5_circcomb(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ? [F] : ( m1_subset_1(F,k4_ordinal1) & E = F & ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(A,B))) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r1_xxreal_0(F,H) => k1_funct_1(k5_facirc_1(A,B,G,H),D) = k1_funct_1(k5_facirc_1(A,B,G,F),D) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & k1_funct_1(D,E) = I & ! [J] : ( m1_subset_1(J,k4_card_3(u3_msualg_1(A,B))) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r1_xxreal_0(I,K) => k1_funct_1(k5_facirc_1(A,B,J,K),E) = k1_funct_1(k5_facirc_1(A,B,J,I),E) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e6_74__trees_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) & m2_finseq_1(C,k4_ordinal1) & m1_trees_1(D,k5_trees_1(A,C,B)) & m1_trees_1(E,B) ) => ( ! [F] : ~ ( r2_hidden(F,k1_trees_2(k5_trees_1(A,C,B),D)) & ! [G] : ~ ! [H] : ( v7_ordinal1(H) => ( F = k7_finseq_1(D,k9_finseq_1(H)) => G = k7_finseq_1(E,k9_finseq_1(H)) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_trees_2(k5_trees_1(A,C,B),D) & ! [G] : ( r2_hidden(G,k1_trees_2(k5_trees_1(A,C,B),D)) => ! [I] : ( v7_ordinal1(I) => ( G = k7_finseq_1(D,k9_finseq_1(I)) => k1_funct_1(F,G) = k7_finseq_1(E,k9_finseq_1(I)) ) ) ) ) ) ) )).
fof(s1_classes1__e6_95_1__finseq_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ! [B] : ~ ( r2_hidden(B,k2_finseq_1(A)) & ! [C] : ~ ? [D] : ( v7_ordinal1(D) & C = D & B = k1_nat_1(D,1) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k2_finseq_1(A) & ! [C] : ( r2_hidden(C,k2_finseq_1(A)) => ? [E] : ( v7_ordinal1(E) & k1_funct_1(B,C) = E & C = k1_nat_1(E,1) ) ) ) ) ) )).
fof(s1_classes1__e6_99_1_2_1_1_2_2__dilworth,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v4_dilworth(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v2_struct_0(C) & v4_orders_2(C) & v5_orders_2(C) & v4_dilworth(C) & l1_orders_2(C) & v1_finset_1(D) & v2_dilworth(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ? [G] : ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & F = G & r2_hidden(E,G) & ! [H] : ( ( v5_dilworth(H,k5_yellow_0(A,G)) & m1_eqrel_1(H,u1_struct_0(k5_yellow_0(A,G))) ) => ( r1_xxreal_0(k4_card_1(H),k2_dilworth(A)) => ! [I] : ~ ( r2_tarski(I,H) & r1_tarski(k3_xboole_0(G,k2_xboole_0(B,k1_tarski(E))),I) & ! [J] : ~ ( r2_tarski(J,H) & J != I & k3_xboole_0(k2_xboole_0(B,k1_tarski(E)),J) != k1_xboole_0 ) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( r2_hidden(F,D) => ? [K] : ( ~ v1_xboole_0(K) & v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) & k1_funct_1(E,F) = K & r2_hidden(F,K) & ! [L] : ( ( v5_dilworth(L,k5_yellow_0(A,K)) & m1_eqrel_1(L,u1_struct_0(k5_yellow_0(A,K))) ) => ( r1_xxreal_0(k4_card_1(L),k2_dilworth(A)) => ! [M] : ~ ( r2_tarski(M,L) & r1_tarski(k3_xboole_0(K,k2_xboole_0(B,k1_tarski(F))),M) & ! [N] : ~ ( r2_tarski(N,L) & N != M & k3_xboole_0(k2_xboole_0(B,k1_tarski(F)),N) != k1_xboole_0 ) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e7_15__card_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_card_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,a_2_0_card_5(A,B)) & ! [E] : ~ ? [F] : ? [G] : ( v3_ordinal1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v5_ordinal1(H) & v1_ordinal2(H) & F = D & E = k4_tarski(G,H) & k9_xtuple_0(H) = B & v2_ordinal2(k5_relat_1(H,G)) & k10_xtuple_0(k5_relat_1(H,G)) = k7_relat_1(C,F) & ! [I] : ( v3_ordinal1(I) => ( ( r1_ordinal1(G,I) & r2_tarski(I,B) ) => k1_funct_1(H,I) = k1_xboole_0 ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_2_0_card_5(A,B) & ! [E] : ( r2_hidden(E,a_2_0_card_5(A,B)) => ? [J] : ? [K] : ( v3_ordinal1(K) & ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v5_ordinal1(L) & v1_ordinal2(L) & J = E & k1_funct_1(D,E) = k4_tarski(K,L) & k9_xtuple_0(L) = B & v2_ordinal2(k5_relat_1(L,K)) & k10_xtuple_0(k5_relat_1(L,K)) = k7_relat_1(C,J) & ! [M] : ( v3_ordinal1(M) => ( ( r1_ordinal1(K,M) & r2_tarski(M,B) ) => k1_funct_1(L,M) = k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e7_220_1__abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C)))) & ! [E] : ~ ( r2_hidden(E,k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B)))) & ( k1_funct_1(B,k1_funct_1(k1_msualg_1(A,C),D)) != k1_xboole_0 => r2_hidden(E,k2_msafree(u1_struct_0(A),B,k1_funct_1(k1_msualg_1(A,C),D))) ) & ~ ( k1_funct_1(B,k1_funct_1(k1_msualg_1(A,C),D)) = k1_xboole_0 & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ~ ( E = k4_tarski(F,u1_struct_0(A)) & k2_msualg_1(A,F) = k1_funct_1(k1_msualg_1(A,C),D) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C))) & ! [E] : ( r2_hidden(E,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,C)))) => ( r2_hidden(k1_funct_1(D,E),k2_xboole_0(k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B)))) & ( k1_funct_1(B,k1_funct_1(k1_msualg_1(A,C),E)) != k1_xboole_0 => r2_hidden(k1_funct_1(D,E),k2_msafree(u1_struct_0(A),B,k1_funct_1(k1_msualg_1(A,C),E))) ) & ~ ( k1_funct_1(B,k1_funct_1(k1_msualg_1(A,C),E)) = k1_xboole_0 & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ~ ( k1_funct_1(D,E) = k4_tarski(G,u1_struct_0(A)) & k2_msualg_1(A,G) = k1_funct_1(k1_msualg_1(A,C),E) ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e7_22__topgen_6,axiom,( ! [A] : ( ( v1_tops_1(A,k1_topgen_6) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k1_topgen_6))) ) => ( ! [B] : ~ ( r2_hidden(B,k9_setfam_1(k2_topgen_6)) & ! [C] : ~ ? [D] : ? [E] : ( v3_pre_topc(E,k1_topgen_6) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_topgen_6))) & ? [F] : ( v3_pre_topc(F,k1_topgen_6) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_topgen_6))) & B = D & C = k9_subset_1(u1_struct_0(k1_topgen_6),E,A) & r1_tarski(D,E) & r1_relset_1(k1_numbers,k1_numbers,k7_subset_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_topgen_6,D),F) & r1_xboole_0(E,F) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k9_setfam_1(k2_topgen_6) & ! [C] : ( r2_hidden(C,k9_setfam_1(k2_topgen_6)) => ? [G] : ? [H] : ( v3_pre_topc(H,k1_topgen_6) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_topgen_6))) & ? [I] : ( v3_pre_topc(I,k1_topgen_6) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k1_topgen_6))) & C = G & k1_funct_1(B,C) = k9_subset_1(u1_struct_0(k1_topgen_6),H,A) & r1_tarski(G,H) & r1_relset_1(k1_numbers,k1_numbers,k7_subset_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_topgen_6,G),I) & r1_xboole_0(H,I) ) ) ) ) ) ) )).
fof(s1_classes1__e7_34_1_1__altcat_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) & m1_subset_1(D,u1_struct_0(k7_altcat_1(B))) & m1_altcat_6(E,k7_altcat_1(B),D,A,C) ) => ( ! [F] : ~ ( r2_hidden(F,k2_altcat_6(A,B,C)) & ! [G] : ~ ( r2_hidden(k2_xtuple_0(F),A) & r2_hidden(k1_xtuple_0(F),k1_funct_1(C,k2_xtuple_0(F))) & G = k1_funct_1(k1_funct_1(E,k2_xtuple_0(F)),k1_xtuple_0(F)) & ! [H] : ( ( r2_hidden(H,A) & F = k4_tarski(k1_xtuple_0(F),H) ) => k1_funct_1(k1_funct_1(E,H),k1_xtuple_0(F)) = G ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k2_altcat_6(A,B,C) & ! [G] : ( r2_hidden(G,k2_altcat_6(A,B,C)) => ( r2_hidden(k2_xtuple_0(G),A) & r2_hidden(k1_xtuple_0(G),k1_funct_1(C,k2_xtuple_0(G))) & k1_funct_1(F,G) = k1_funct_1(k1_funct_1(E,k2_xtuple_0(G)),k1_xtuple_0(G)) & ! [I] : ( ( r2_hidden(I,A) & G = k4_tarski(k1_xtuple_0(G),I) ) => k1_funct_1(k1_funct_1(E,I),k1_xtuple_0(G)) = k1_funct_1(F,G) ) ) ) ) ) ) )).
fof(s1_classes1__e7_34__jgraph_3,axiom,( ! [A] : ~ ( r2_hidden(A,u1_struct_0(k15_euclid(2))) & ! [B] : ~ ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = A => B = k19_euclid(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,k6_xcmplx_0(1,k5_numbers)),k17_euclid(C)),k6_xcmplx_0(1,k7_xcmplx_0(k3_xcmplx_0(2,1),k6_xcmplx_0(1,k5_numbers)))),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,k6_xcmplx_0(1,k5_numbers)),k18_euclid(C)),k6_xcmplx_0(1,k7_xcmplx_0(k3_xcmplx_0(2,1),k6_xcmplx_0(1,k5_numbers))))) ) ) ) => ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & k9_xtuple_0(A) = u1_struct_0(k15_euclid(2)) & ! [B] : ( r2_hidden(B,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( D = B => k1_funct_1(A,B) = k19_euclid(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,k6_xcmplx_0(1,k5_numbers)),k17_euclid(D)),k6_xcmplx_0(1,k7_xcmplx_0(k3_xcmplx_0(2,1),k6_xcmplx_0(1,k5_numbers)))),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,k6_xcmplx_0(1,k5_numbers)),k18_euclid(D)),k6_xcmplx_0(1,k7_xcmplx_0(k3_xcmplx_0(2,1),k6_xcmplx_0(1,k5_numbers))))) ) ) ) ) )).
fof(s1_classes1__e7_55__finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ! [D] : ~ ( r2_hidden(D,k8_relat_1(B,C)) & ! [E] : ~ ? [F] : ( v7_ordinal1(F) & D = F & E = k2_xcmplx_0(k3_finseq_1(A),F) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k8_relat_1(B,C) & ! [E] : ( r2_hidden(E,k8_relat_1(B,C)) => ? [G] : ( v7_ordinal1(G) & E = G & k1_funct_1(D,E) = k2_xcmplx_0(k3_finseq_1(A),G) ) ) ) ) ) )).
fof(s1_classes1__e7_7__frechet2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & v1_tops_2(C,A) & v1_yellow_8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ? [G] : ( G = E & F = k1_setfam_1(k7_relset_1(k4_ordinal1,C,D,k1_ordinal1(G))) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_ordinal1 & ! [F] : ( r2_hidden(F,k4_ordinal1) => ? [H] : ( H = F & k1_funct_1(E,F) = k1_setfam_1(k7_relset_1(k4_ordinal1,C,D,k1_ordinal1(H))) ) ) ) ) ) )).
fof(s1_classes1__e7_85_1__uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_valued_0(B) & v2_pre_poly(B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k13_polynom3(A)))) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => ( ! [F] : ~ ( r2_hidden(F,a_3_4_uproots(A,B,D)) & ! [G] : ~ ? [H] : ( v7_ordinal1(H) & H = F & G = k2_xcmplx_0(k1_wsierp_1(k10_pre_poly(u1_struct_0(k13_polynom3(A)),k17_finseq_1(k3_finseq_2(u1_struct_0(k13_polynom3(A))),k7_nat_d(E,1),C))),k2_xcmplx_0(1,H)) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = a_3_4_uproots(A,B,D) & ! [G] : ( r2_hidden(G,a_3_4_uproots(A,B,D)) => ? [I] : ( v7_ordinal1(I) & I = G & k1_funct_1(F,G) = k2_xcmplx_0(k1_wsierp_1(k10_pre_poly(u1_struct_0(k13_polynom3(A)),k17_finseq_1(k3_finseq_2(u1_struct_0(k13_polynom3(A))),k7_nat_d(E,1),C))),k2_xcmplx_0(1,I)) ) ) ) ) ) )).
fof(s1_classes1__e84_4__topmetr2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(A,B))))) ) => ( ! [D] : ~ ( r2_hidden(D,k1_rcomp_1(k7_xcmplx_0(1,2),1)) & ! [E] : ~ ! [F] : ( v1_xreal_0(F) => ( F = D => E = k1_funct_1(C,k6_xcmplx_0(k3_xcmplx_0(2,F),1)) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_rcomp_1(k7_xcmplx_0(1,2),1) & ! [E] : ( r2_hidden(E,k1_rcomp_1(k7_xcmplx_0(1,2),1)) => ! [G] : ( v1_xreal_0(G) => ( G = E => k1_funct_1(D,E) = k1_funct_1(C,k6_xcmplx_0(k3_xcmplx_0(2,G),1)) ) ) ) ) ) ) )).
fof(s1_classes1__e8_22_1__friends1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_2(A) & v3_relat_2(A) & v1_finset_1(A) & v3_friends1(A) ) => ( ! [E] : ~ ( r2_hidden(E,k6_subset_1(k9_relat_1(A,B),k1_tarski(D))) & ! [F] : ~ ( r2_hidden(k4_tarski(E,F),A) & r2_hidden(k4_tarski(F,C),A) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k6_subset_1(k9_relat_1(A,B),k1_tarski(D)) & ! [F] : ( r2_hidden(F,k6_subset_1(k9_relat_1(A,B),k1_tarski(D))) => ( r2_hidden(k4_tarski(F,k1_funct_1(E,F)),A) & r2_hidden(k4_tarski(k1_funct_1(E,F),C),A) ) ) ) ) ) )).
fof(s1_classes1__e8_38_1_1__altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) & m1_subset_1(D,u1_struct_0(k7_altcat_1(B))) & m1_altcat_5(E,k7_altcat_1(B),D,A,C) ) => ( ! [F] : ~ ( r2_hidden(F,D) & ! [G] : ~ ? [H] : ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & ! [I] : ( r2_tarski(I,A) => k1_funct_1(H,I) = k1_funct_1(k1_funct_1(E,I),F) ) & G = H ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = D & ! [G] : ( r2_hidden(G,D) => ? [J] : ( v1_relat_1(J) & v4_relat_1(J,A) & v1_funct_1(J) & v1_partfun1(J,A) & ! [K] : ( r2_tarski(K,A) => k1_funct_1(J,K) = k1_funct_1(k1_funct_1(E,K),G) ) & k1_funct_1(F,G) = J ) ) ) ) ) )).
fof(s1_classes1__e8_39_1_2__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & ~ v1_finset_1(B) & v1_card_1(B) & v1_cantor_1(C,A) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ! [G] : ( v7_ordinal1(G) => ~ ( E = G & ! [H] : ( ( v1_tops_2(H,A) & m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( r1_tarski(H,a_4_7_metrizts(A,C,D,G)) & m1_setfam_1(H,u1_struct_0(A)) & r1_ordinal1(k1_card_1(H),B) & F = H ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_ordinal1 & ! [F] : ( r2_hidden(F,k4_ordinal1) => ! [I] : ( v7_ordinal1(I) => ~ ( F = I & ! [J] : ( ( v1_tops_2(J,A) & m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( r1_tarski(J,a_4_7_metrizts(A,C,D,I)) & m1_setfam_1(J,u1_struct_0(A)) & r1_ordinal1(k1_card_1(J),B) & k1_funct_1(E,F) = J ) ) ) ) ) ) ) ) )).
fof(s1_classes1__e8_4_2__card_5,axiom,( ! [A] : ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ? [D] : ( v3_ordinal1(D) & B = k3_card_1(D) & C = D ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ? [E] : ( v3_ordinal1(E) & C = k3_card_1(E) & k1_funct_1(B,C) = E ) ) ) ) )).
fof(s1_classes1__e8_50__topgen_5,axiom,( ! [A] : ( ( v1_tops_1(A,k3_topgen_5) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topgen_5))) ) => ( ! [B] : ~ ( r2_hidden(B,k9_setfam_1(k1_topgen_5)) & ! [C] : ~ ? [D] : ? [E] : ( v3_pre_topc(E,k3_topgen_5) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_topgen_5))) & ? [F] : ( v3_pre_topc(F,k3_topgen_5) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_topgen_5))) & D = B & C = k9_subset_1(u1_struct_0(k3_topgen_5),E,A) & r1_tarski(D,E) & r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k1_topgen_5,D),F) & r1_xboole_0(E,F) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k9_setfam_1(k1_topgen_5) & ! [C] : ( r2_hidden(C,k9_setfam_1(k1_topgen_5)) => ? [G] : ? [H] : ( v3_pre_topc(H,k3_topgen_5) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_topgen_5))) & ? [I] : ( v3_pre_topc(I,k3_topgen_5) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k3_topgen_5))) & G = C & k1_funct_1(B,C) = k9_subset_1(u1_struct_0(k3_topgen_5),H,A) & r1_tarski(G,H) & r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k1_topgen_5,G),I) & r1_xboole_0(H,I) ) ) ) ) ) ) )).
fof(s1_classes1__e8_6_1__zf_colla,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k3_xboole_0(B,A)) & ! [D] : ~ ? [E] : ( v3_ordinal1(E) & D = E & r2_hidden(C,k1_zf_colla(A,E)) & ! [F] : ( v3_ordinal1(F) => ( r2_hidden(C,k1_zf_colla(A,F)) => r1_ordinal1(E,F) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k3_xboole_0(B,A) & ! [D] : ( r2_hidden(D,k3_xboole_0(B,A)) => ? [G] : ( v3_ordinal1(G) & k1_funct_1(C,D) = G & r2_hidden(D,k1_zf_colla(A,G)) & ! [H] : ( v3_ordinal1(H) => ( r2_hidden(D,k1_zf_colla(A,H)) => r1_ordinal1(G,H) ) ) ) ) ) ) ) )).
fof(s1_classes1__e8_80__calcul_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_finseq_1(B,k3_cqc_lang(A)) ) => ( ! [C] : ~ ( r2_hidden(C,k1_relset_1(k4_ordinal1,B)) & ! [D] : ~ ? [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) & D = k24_qc_lang1(A,E) & E = k1_funct_1(B,C) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_relset_1(k4_ordinal1,B) & ! [D] : ( r2_hidden(D,k1_relset_1(k4_ordinal1,B)) => ? [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) & k1_funct_1(C,D) = k24_qc_lang1(A,F) & F = k1_funct_1(B,D) ) ) ) ) ) )).
fof(s1_classes1__e8_95__finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ? [D] : ( v7_ordinal1(D) & B = D & C = k1_nat_1(D,1) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => ? [E] : ( v7_ordinal1(E) & C = E & k1_funct_1(B,C) = k1_nat_1(E,1) ) ) ) ) ) )).
fof(s1_classes1__e9_14__t_1topsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_eqrel_1(D,u1_struct_0(A)) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(G,k2_relset_1(u1_struct_0(B),C)) & E = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),G)) ) => F = G ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( r2_hidden(F,D) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( r2_tarski(H,k2_relset_1(u1_struct_0(B),C)) & F = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),H)) ) => k1_funct_1(E,F) = H ) ) ) ) ) ) )).
fof(s1_closure1__e20_81_1__closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_struct_0(A) & v9_closure1(B,A) & l1_closure1(B,A) & m1_pboole(C,u1_struct_0(A),k5_mssubfam(u1_struct_0(A),u3_msualg_1(A,B))) & v2_relat_1(D) & m3_pboole(D,u1_struct_0(A),k1_mboolean(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(A)) ) => ( r1_pboole(u1_struct_0(A),E,D) <=> ( r1_pboole(u1_struct_0(A),E,u1_closure1(A,B)) & r2_pboole(u1_struct_0(A),C,E) ) ) ) => r2_pboole(u1_struct_0(A),D,u1_closure1(A,B)) ) ) )).
fof(s1_closure1__e4_75__closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_mssubfam(C,A,B) & m3_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(D,A,k5_mssubfam(A,B)) & v2_relat_1(E) & m3_pboole(E,A,k1_mboolean(A,B)) ) => ( ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ( r1_pboole(A,F,E) <=> ( r1_pboole(A,F,C) & r2_pboole(A,D,F) ) ) ) => r2_pboole(A,E,C) ) ) )).
fof(s1_closure1__e5_73__closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_mssubfam(C,A,B) & m3_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(D,A,k5_mssubfam(A,B)) & v2_relat_1(E) & m3_pboole(E,A,k1_mboolean(A,B)) ) => ( ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ( r1_pboole(A,F,E) <=> ( r1_pboole(A,F,C) & r2_pboole(A,D,F) ) ) ) => r2_pboole(A,E,C) ) ) )).
fof(s1_complfld__e3_67__complfld,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_complfld(B,k4_struct_0(k1_complfld),A) ) => ( ( ? [C] : ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) & k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,C) = k4_struct_0(k1_complfld) ) & ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ~ ( C != 1 & k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,C) = k4_struct_0(k1_complfld) & ! [D] : ( ( ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => ~ ( ~ r1_xxreal_0(C,D) & k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,D) = k4_struct_0(k1_complfld) ) ) ) ) ) => k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,1) = k4_struct_0(k1_complfld) ) ) )).
fof(s1_comptrig__e3_43__polyeq_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_comptrig(B,k5_numbers,A) ) => ( ( ? [C] : ( v7_ordinal1(C) & ~ v8_ordinal1(C) & k1_newton(B,C) = k5_numbers ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( C != 1 & k1_newton(B,C) = k5_numbers & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ~ ( ~ r1_xxreal_0(C,D) & k1_newton(B,D) = k5_numbers ) ) ) ) ) => k1_newton(B,1) = k5_numbers ) ) )).
fof(s1_comptrig__e4_61__comptrig,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_comptrig(B,k5_numbers,A) ) => ( ( ? [C] : ( v7_ordinal1(C) & ~ v8_ordinal1(C) & k1_newton(B,C) = k5_numbers ) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( C != 1 & k1_newton(B,C) = k5_numbers & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ~ ( ~ r1_xxreal_0(C,D) & k1_newton(B,D) = k5_numbers ) ) ) ) ) => k1_newton(B,1) = k5_numbers ) ) )).
fof(s1_comput_1__e3_169__comput_1,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k1_recdef_1(k4_comput_1(1,1),k12_finseq_1(k4_ordinal1,A)) = k1_nat_1(A,1) ) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_recdef_1(k5_comput_1(2,1),k2_finseq_4(k4_ordinal1,A,B)) = A ) ) ) => ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_recdef_1(k3_relat_1(k5_funct_6(k9_finseq_1(k5_comput_1(2,1))),k4_comput_1(1,1)),k2_finseq_4(k4_ordinal1,A,B)) = k1_nat_1(A,1) ) ) )).
fof(s1_comseq_1__e1_89__comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,B,C) = k2_comseq_3(A,k1_nat_1(C,1)) ) ) ) )).
fof(s1_comseq_1__e2_40__sin_cos,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,C,D) = k8_nat_1(k2_numbers,k10_comseq_3(k12_sin_cos(A,B,D)),D) ) ) ) )).
fof(s1_comseq_1__e3_19_1__csspace3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace3)))) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,C,D) = k3_funct_2(k4_ordinal1,k2_numbers,k2_csspace(k1_normsp_0(k3_csspace3,A,D)),B) ) ) ) )).
fof(s1_comseq_1__e3_19_1__csspace4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace4)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace4)))) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,C,D) = k1_funct_1(k2_csspace(k1_normsp_0(k3_csspace4,A,D)),B) ) ) ) )).
fof(s1_comseq_1__e4_97_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,C,D) = k3_xcmplx_0(k11_comseq_3(k24_sin_cos(k3_xcmplx_0(k8_nat_1(k1_numbers,B,D),k7_complex1))),k2_xcmplx_0(k3_funct_2(k1_numbers,k1_numbers,k18_sin_cos,A),k3_xcmplx_0(k3_funct_2(k1_numbers,k1_numbers,k16_sin_cos,A),k7_complex1))) ) ) ) )).
fof(s1_comseq_1__e4_98_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,C,D) = k3_xcmplx_0(k11_comseq_3(k24_sin_cos(k3_xcmplx_0(k8_nat_1(k1_numbers,B,D),k7_complex1))),k2_xcmplx_0(k1_funct_1(k18_sin_cos,A),k3_xcmplx_0(k1_funct_1(k16_sin_cos,A),k7_complex1))) ) ) ) )).
fof(s1_comseq_1__e4_99_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,C,D) = k3_xcmplx_0(k11_comseq_3(k24_sin_cos(k8_nat_1(k1_numbers,B,D))),k1_funct_1(k22_sin_cos,A)) ) ) ) )).
fof(s1_cqc_lang__e2_13__substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,E) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ! [G] : ( m2_subset_1(G,k6_qc_lang1(A),k8_qc_lang1(A,E)) => ( ! [H] : ( m1_subset_1(H,k1_substut1(A)) => ? [I] : ( m2_subset_1(I,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,I) = k5_cqc_lang(A) & k19_substut1(A,I) = H ) ) & ! [J] : ( m1_subset_1(J,k1_substut1(A)) => ? [K] : ( m2_subset_1(K,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,K) = k4_cqc_lang(E,A,G,F) & k19_substut1(A,K) = J ) ) & ( ! [L] : ( m1_subset_1(L,k1_substut1(A)) => ? [M] : ( m2_subset_1(M,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,M) = B & k19_substut1(A,M) = L ) ) => ! [N] : ( m1_subset_1(N,k1_substut1(A)) => ? [O] : ( m2_subset_1(O,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,O) = k6_cqc_lang(A,B) & k19_substut1(A,O) = N ) ) ) & ( ( ! [P] : ( m1_subset_1(P,k1_substut1(A)) => ? [Q] : ( m2_subset_1(Q,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,Q) = B & k19_substut1(A,Q) = P ) ) & ! [R] : ( m1_subset_1(R,k1_substut1(A)) => ? [S] : ( m2_subset_1(S,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,S) = C & k19_substut1(A,S) = R ) ) ) => ! [T] : ( m1_subset_1(T,k1_substut1(A)) => ? [U] : ( m2_subset_1(U,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,U) = k7_cqc_lang(A,B,C) & k19_substut1(A,U) = T ) ) ) & ( ! [V] : ( m1_subset_1(V,k1_substut1(A)) => ? [W] : ( m2_subset_1(W,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,W) = B & k19_substut1(A,W) = V ) ) => ! [X] : ( m1_subset_1(X,k1_substut1(A)) => ? [Y] : ( m2_subset_1(Y,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,Y) = k11_cqc_lang(A,D,B) & k19_substut1(A,Y) = X ) ) ) ) ) ) ) ) ) ) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [Z] : ( m1_subset_1(Z,k1_substut1(A)) => ? [A1] : ( m2_subset_1(A1,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,A1) = B & k19_substut1(A,A1) = Z ) ) ) ) ) )).
fof(s1_cqc_lang__e2_36__substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,E) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ! [G] : ( m2_subset_1(G,k6_qc_lang1(A),k8_qc_lang1(A,E)) => ( ! [H] : ( m1_subset_1(H,k1_substut1(A)) => k7_cqc_sim1(A,k5_cqc_lang(A)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k5_cqc_lang(A),H))) ) & ! [I] : ( m1_subset_1(I,k1_substut1(A)) => k7_cqc_sim1(A,k4_cqc_lang(E,A,G,F)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k4_cqc_lang(E,A,G,F),I))) ) & ( ! [J] : ( m1_subset_1(J,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,J))) ) => ! [K] : ( m1_subset_1(K,k1_substut1(A)) => k7_cqc_sim1(A,k6_cqc_lang(A,B)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k6_cqc_lang(A,B),K))) ) ) & ( ( ! [L] : ( m1_subset_1(L,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,L))) ) & ! [M] : ( m1_subset_1(M,k1_substut1(A)) => k7_cqc_sim1(A,C) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,C,M))) ) ) => ! [N] : ( m1_subset_1(N,k1_substut1(A)) => k7_cqc_sim1(A,k7_cqc_lang(A,B,C)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k7_cqc_lang(A,B,C),N))) ) ) & ( ! [O] : ( m1_subset_1(O,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,O))) ) => ! [P] : ( m1_subset_1(P,k1_substut1(A)) => k7_cqc_sim1(A,k11_cqc_lang(A,D,B)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k11_cqc_lang(A,D,B),P))) ) ) ) ) ) ) ) ) ) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [Q] : ( m1_subset_1(Q,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,Q))) ) ) ) ) )).
fof(s1_cqc_lang__e2_87__sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_valuat_1(C,A,B) ) => ( ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v5_relat_1(H,k3_qc_lang1(A)) & v3_card_1(H,G) & m2_finseq_1(H,k2_qc_lang1(A)) ) => ! [I] : ( m2_subset_1(I,k6_qc_lang1(A),k8_qc_lang1(A,G)) => ( ! [J] : ( m2_funct_2(J,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [K] : ( m2_funct_2(K,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,J,k24_qc_lang1(A,k5_cqc_lang(A))),k5_relset_1(k3_qc_lang1(A),B,K,k24_qc_lang1(A,k5_cqc_lang(A)))) => ( r1_valuat_1(A,B,k5_cqc_lang(A),C,J) <=> r1_valuat_1(A,B,k5_cqc_lang(A),C,K) ) ) ) ) & ! [L] : ( m2_funct_2(L,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [M] : ( m2_funct_2(M,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,L,k24_qc_lang1(A,k4_cqc_lang(G,A,I,H))),k5_relset_1(k3_qc_lang1(A),B,M,k24_qc_lang1(A,k4_cqc_lang(G,A,I,H)))) => ( r1_valuat_1(A,B,k4_cqc_lang(G,A,I,H),C,L) <=> r1_valuat_1(A,B,k4_cqc_lang(G,A,I,H),C,M) ) ) ) ) & ( ! [N] : ( m2_funct_2(N,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [O] : ( m2_funct_2(O,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,N,k24_qc_lang1(A,D)),k5_relset_1(k3_qc_lang1(A),B,O,k24_qc_lang1(A,D))) => ( r1_valuat_1(A,B,D,C,N) <=> r1_valuat_1(A,B,D,C,O) ) ) ) ) => ! [P] : ( m2_funct_2(P,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [Q] : ( m2_funct_2(Q,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,P,k24_qc_lang1(A,k6_cqc_lang(A,D))),k5_relset_1(k3_qc_lang1(A),B,Q,k24_qc_lang1(A,k6_cqc_lang(A,D)))) => ( r1_valuat_1(A,B,k6_cqc_lang(A,D),C,P) <=> r1_valuat_1(A,B,k6_cqc_lang(A,D),C,Q) ) ) ) ) ) & ( ( ! [R] : ( m2_funct_2(R,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [S] : ( m2_funct_2(S,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,R,k24_qc_lang1(A,D)),k5_relset_1(k3_qc_lang1(A),B,S,k24_qc_lang1(A,D))) => ( r1_valuat_1(A,B,D,C,R) <=> r1_valuat_1(A,B,D,C,S) ) ) ) ) & ! [T] : ( m2_funct_2(T,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [U] : ( m2_funct_2(U,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,T,k24_qc_lang1(A,E)),k5_relset_1(k3_qc_lang1(A),B,U,k24_qc_lang1(A,E))) => ( r1_valuat_1(A,B,E,C,T) <=> r1_valuat_1(A,B,E,C,U) ) ) ) ) ) => ! [V] : ( m2_funct_2(V,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [W] : ( m2_funct_2(W,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,V,k24_qc_lang1(A,k7_cqc_lang(A,D,E))),k5_relset_1(k3_qc_lang1(A),B,W,k24_qc_lang1(A,k7_cqc_lang(A,D,E)))) => ( r1_valuat_1(A,B,k7_cqc_lang(A,D,E),C,V) <=> r1_valuat_1(A,B,k7_cqc_lang(A,D,E),C,W) ) ) ) ) ) & ( ! [X] : ( m2_funct_2(X,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [Y] : ( m2_funct_2(Y,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,X,k24_qc_lang1(A,D)),k5_relset_1(k3_qc_lang1(A),B,Y,k24_qc_lang1(A,D))) => ( r1_valuat_1(A,B,D,C,X) <=> r1_valuat_1(A,B,D,C,Y) ) ) ) ) => ! [Z] : ( m2_funct_2(Z,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [A1] : ( m2_funct_2(A1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,Z,k24_qc_lang1(A,k11_cqc_lang(A,F,D))),k5_relset_1(k3_qc_lang1(A),B,A1,k24_qc_lang1(A,k11_cqc_lang(A,F,D)))) => ( r1_valuat_1(A,B,k11_cqc_lang(A,F,D),C,Z) <=> r1_valuat_1(A,B,k11_cqc_lang(A,F,D),C,A1) ) ) ) ) ) ) ) ) ) ) ) ) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [B1] : ( m2_funct_2(B1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [C1] : ( m2_funct_2(C1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r2_relset_1(k3_qc_lang1(A),B,k5_relset_1(k3_qc_lang1(A),B,B1,k24_qc_lang1(A,D)),k5_relset_1(k3_qc_lang1(A),B,C1,k24_qc_lang1(A,D))) => ( r1_valuat_1(A,B,D,C,B1) <=> r1_valuat_1(A,B,D,C,C1) ) ) ) ) ) ) ) )).
fof(s1_cqc_lang__e2_99__sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_valuat_1(C,A,B) ) => ( ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v5_relat_1(H,k3_qc_lang1(A)) & v3_card_1(H,G) & m2_finseq_1(H,k2_qc_lang1(A)) ) => ! [I] : ( m2_subset_1(I,k6_qc_lang1(A),k8_qc_lang1(A,G)) => ( ! [J] : ( m2_funct_2(J,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [K] : ( ( v1_funct_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [L] : ( ( v1_funct_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [M] : ( ( v1_funct_1(M) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [N] : ( m2_subset_1(N,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(N,k1_relset_1(k3_qc_lang1(A),L)) & r2_tarski(N,k24_qc_lang1(A,k5_cqc_lang(A))) ) ) & ! [N] : ( m2_subset_1(N,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(N,k1_relset_1(k3_qc_lang1(A),M)) => k1_funct_1(M,N) = k3_funct_2(k3_qc_lang1(A),B,J,N) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),K),k1_relset_1(k3_qc_lang1(A),M)) ) => ( r1_valuat_1(A,B,k5_cqc_lang(A),C,k1_sublemma(A,B,J,K)) <=> r1_valuat_1(A,B,k5_cqc_lang(A),C,k1_sublemma(A,B,J,k14_sublemma(A,B,k14_sublemma(A,B,K,L),M))) ) ) ) ) ) ) & ! [O] : ( m2_funct_2(O,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [P] : ( ( v1_funct_1(P) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [Q] : ( ( v1_funct_1(Q) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [R] : ( ( v1_funct_1(R) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [S] : ( m2_subset_1(S,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(S,k1_relset_1(k3_qc_lang1(A),Q)) & r2_tarski(S,k24_qc_lang1(A,k4_cqc_lang(G,A,I,H))) ) ) & ! [S] : ( m2_subset_1(S,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(S,k1_relset_1(k3_qc_lang1(A),R)) => k1_funct_1(R,S) = k3_funct_2(k3_qc_lang1(A),B,O,S) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),P),k1_relset_1(k3_qc_lang1(A),R)) ) => ( r1_valuat_1(A,B,k4_cqc_lang(G,A,I,H),C,k1_sublemma(A,B,O,P)) <=> r1_valuat_1(A,B,k4_cqc_lang(G,A,I,H),C,k1_sublemma(A,B,O,k14_sublemma(A,B,k14_sublemma(A,B,P,Q),R))) ) ) ) ) ) ) & ( ! [T] : ( m2_funct_2(T,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [U] : ( ( v1_funct_1(U) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [V] : ( ( v1_funct_1(V) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [W] : ( ( v1_funct_1(W) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [X] : ( m2_subset_1(X,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(X,k1_relset_1(k3_qc_lang1(A),V)) & r2_tarski(X,k24_qc_lang1(A,D)) ) ) & ! [X] : ( m2_subset_1(X,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(X,k1_relset_1(k3_qc_lang1(A),W)) => k1_funct_1(W,X) = k3_funct_2(k3_qc_lang1(A),B,T,X) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),U),k1_relset_1(k3_qc_lang1(A),W)) ) => ( r1_valuat_1(A,B,D,C,k1_sublemma(A,B,T,U)) <=> r1_valuat_1(A,B,D,C,k1_sublemma(A,B,T,k14_sublemma(A,B,k14_sublemma(A,B,U,V),W))) ) ) ) ) ) ) => ! [Y] : ( m2_funct_2(Y,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [Z] : ( ( v1_funct_1(Z) & m1_subset_1(Z,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [A1] : ( ( v1_funct_1(A1) & m1_subset_1(A1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [B1] : ( ( v1_funct_1(B1) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [C1] : ( m2_subset_1(C1,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(C1,k1_relset_1(k3_qc_lang1(A),A1)) & r2_tarski(C1,k24_qc_lang1(A,k6_cqc_lang(A,D))) ) ) & ! [C1] : ( m2_subset_1(C1,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(C1,k1_relset_1(k3_qc_lang1(A),B1)) => k1_funct_1(B1,C1) = k3_funct_2(k3_qc_lang1(A),B,Y,C1) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),Z),k1_relset_1(k3_qc_lang1(A),B1)) ) => ( r1_valuat_1(A,B,k6_cqc_lang(A,D),C,k1_sublemma(A,B,Y,Z)) <=> r1_valuat_1(A,B,k6_cqc_lang(A,D),C,k1_sublemma(A,B,Y,k14_sublemma(A,B,k14_sublemma(A,B,Z,A1),B1))) ) ) ) ) ) ) ) & ( ( ! [D1] : ( m2_funct_2(D1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [E1] : ( ( v1_funct_1(E1) & m1_subset_1(E1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [F1] : ( ( v1_funct_1(F1) & m1_subset_1(F1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [G1] : ( ( v1_funct_1(G1) & m1_subset_1(G1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [H1] : ( m2_subset_1(H1,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(H1,k1_relset_1(k3_qc_lang1(A),F1)) & r2_tarski(H1,k24_qc_lang1(A,D)) ) ) & ! [H1] : ( m2_subset_1(H1,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(H1,k1_relset_1(k3_qc_lang1(A),G1)) => k1_funct_1(G1,H1) = k3_funct_2(k3_qc_lang1(A),B,D1,H1) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),E1),k1_relset_1(k3_qc_lang1(A),G1)) ) => ( r1_valuat_1(A,B,D,C,k1_sublemma(A,B,D1,E1)) <=> r1_valuat_1(A,B,D,C,k1_sublemma(A,B,D1,k14_sublemma(A,B,k14_sublemma(A,B,E1,F1),G1))) ) ) ) ) ) ) & ! [I1] : ( m2_funct_2(I1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [J1] : ( ( v1_funct_1(J1) & m1_subset_1(J1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [K1] : ( ( v1_funct_1(K1) & m1_subset_1(K1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [L1] : ( ( v1_funct_1(L1) & m1_subset_1(L1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [M1] : ( m2_subset_1(M1,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(M1,k1_relset_1(k3_qc_lang1(A),K1)) & r2_tarski(M1,k24_qc_lang1(A,E)) ) ) & ! [M1] : ( m2_subset_1(M1,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(M1,k1_relset_1(k3_qc_lang1(A),L1)) => k1_funct_1(L1,M1) = k3_funct_2(k3_qc_lang1(A),B,I1,M1) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),J1),k1_relset_1(k3_qc_lang1(A),L1)) ) => ( r1_valuat_1(A,B,E,C,k1_sublemma(A,B,I1,J1)) <=> r1_valuat_1(A,B,E,C,k1_sublemma(A,B,I1,k14_sublemma(A,B,k14_sublemma(A,B,J1,K1),L1))) ) ) ) ) ) ) ) => ! [N1] : ( m2_funct_2(N1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [O1] : ( ( v1_funct_1(O1) & m1_subset_1(O1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [P1] : ( ( v1_funct_1(P1) & m1_subset_1(P1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [Q1] : ( ( v1_funct_1(Q1) & m1_subset_1(Q1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [R1] : ( m2_subset_1(R1,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(R1,k1_relset_1(k3_qc_lang1(A),P1)) & r2_tarski(R1,k24_qc_lang1(A,k7_cqc_lang(A,D,E))) ) ) & ! [R1] : ( m2_subset_1(R1,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(R1,k1_relset_1(k3_qc_lang1(A),Q1)) => k1_funct_1(Q1,R1) = k3_funct_2(k3_qc_lang1(A),B,N1,R1) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),O1),k1_relset_1(k3_qc_lang1(A),Q1)) ) => ( r1_valuat_1(A,B,k7_cqc_lang(A,D,E),C,k1_sublemma(A,B,N1,O1)) <=> r1_valuat_1(A,B,k7_cqc_lang(A,D,E),C,k1_sublemma(A,B,N1,k14_sublemma(A,B,k14_sublemma(A,B,O1,P1),Q1))) ) ) ) ) ) ) ) & ( ! [S1] : ( m2_funct_2(S1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [T1] : ( ( v1_funct_1(T1) & m1_subset_1(T1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [U1] : ( ( v1_funct_1(U1) & m1_subset_1(U1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [V1] : ( ( v1_funct_1(V1) & m1_subset_1(V1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [W1] : ( m2_subset_1(W1,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(W1,k1_relset_1(k3_qc_lang1(A),U1)) & r2_tarski(W1,k24_qc_lang1(A,D)) ) ) & ! [W1] : ( m2_subset_1(W1,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(W1,k1_relset_1(k3_qc_lang1(A),V1)) => k1_funct_1(V1,W1) = k3_funct_2(k3_qc_lang1(A),B,S1,W1) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),T1),k1_relset_1(k3_qc_lang1(A),V1)) ) => ( r1_valuat_1(A,B,D,C,k1_sublemma(A,B,S1,T1)) <=> r1_valuat_1(A,B,D,C,k1_sublemma(A,B,S1,k14_sublemma(A,B,k14_sublemma(A,B,T1,U1),V1))) ) ) ) ) ) ) => ! [X1] : ( m2_funct_2(X1,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [Y1] : ( ( v1_funct_1(Y1) & m1_subset_1(Y1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [Z1] : ( ( v1_funct_1(Z1) & m1_subset_1(Z1,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [A2] : ( ( v1_funct_1(A2) & m1_subset_1(A2,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [B2] : ( m2_subset_1(B2,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(B2,k1_relset_1(k3_qc_lang1(A),Z1)) & r2_tarski(B2,k24_qc_lang1(A,k11_cqc_lang(A,F,D))) ) ) & ! [B2] : ( m2_subset_1(B2,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(B2,k1_relset_1(k3_qc_lang1(A),A2)) => k1_funct_1(A2,B2) = k3_funct_2(k3_qc_lang1(A),B,X1,B2) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),Y1),k1_relset_1(k3_qc_lang1(A),A2)) ) => ( r1_valuat_1(A,B,k11_cqc_lang(A,F,D),C,k1_sublemma(A,B,X1,Y1)) <=> r1_valuat_1(A,B,k11_cqc_lang(A,F,D),C,k1_sublemma(A,B,X1,k14_sublemma(A,B,k14_sublemma(A,B,Y1,Z1),A2))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C2] : ( m2_funct_2(C2,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D2] : ( ( v1_funct_1(D2) & m1_subset_1(D2,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [E2] : ( ( v1_funct_1(E2) & m1_subset_1(E2,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ! [F2] : ( ( v1_funct_1(F2) & m1_subset_1(F2,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) => ( ( ! [G2] : ( m2_subset_1(G2,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( r2_tarski(G2,k1_relset_1(k3_qc_lang1(A),E2)) & r2_tarski(G2,k24_qc_lang1(A,D)) ) ) & ! [G2] : ( m2_subset_1(G2,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(G2,k1_relset_1(k3_qc_lang1(A),F2)) => k1_funct_1(F2,G2) = k3_funct_2(k3_qc_lang1(A),B,C2,G2) ) ) & r1_xboole_0(k1_relset_1(k3_qc_lang1(A),D2),k1_relset_1(k3_qc_lang1(A),F2)) ) => ( r1_valuat_1(A,B,D,C,k1_sublemma(A,B,C2,D2)) <=> r1_valuat_1(A,B,D,C,k1_sublemma(A,B,C2,k14_sublemma(A,B,k14_sublemma(A,B,D2,E2),F2))) ) ) ) ) ) ) ) ) ) )).
fof(s1_cqc_lang__e3_62__sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,E) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ! [G] : ( m2_subset_1(G,k6_qc_lang1(A),k8_qc_lang1(A,E)) => ( r1_tarski(k24_qc_lang1(A,k5_cqc_lang(A)),k9_substut1(A,k5_cqc_lang(A))) & r1_tarski(k24_qc_lang1(A,k4_cqc_lang(E,A,G,F)),k9_substut1(A,k4_cqc_lang(E,A,G,F))) & ( r1_tarski(k24_qc_lang1(A,B),k9_substut1(A,B)) => r1_tarski(k24_qc_lang1(A,k6_cqc_lang(A,B)),k9_substut1(A,k6_cqc_lang(A,B))) ) & ( ( r1_tarski(k24_qc_lang1(A,B),k9_substut1(A,B)) & r1_tarski(k24_qc_lang1(A,C),k9_substut1(A,C)) ) => r1_tarski(k24_qc_lang1(A,k7_cqc_lang(A,B,C)),k9_substut1(A,k7_cqc_lang(A,B,C))) ) & ( r1_tarski(k24_qc_lang1(A,B),k9_substut1(A,B)) => r1_tarski(k24_qc_lang1(A,k11_cqc_lang(A,D,B)),k9_substut1(A,k11_cqc_lang(A,D,B))) ) ) ) ) ) ) ) ) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r1_tarski(k24_qc_lang1(A,B),k9_substut1(A,B)) ) ) ) )).
fof(s1_cqc_lang__e5_45__substut2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(A)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(A),k8_qc_lang1(A,F)) => ( ( r2_qc_lang2(A,k5_cqc_lang(A),B) => k7_cqc_sim1(A,k5_cqc_lang(A)) = k5_numbers ) & ( r2_qc_lang2(A,k4_cqc_lang(F,A,H,G),B) => k7_cqc_sim1(A,k4_cqc_lang(F,A,H,G)) = k5_numbers ) & ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) => ( r2_qc_lang2(A,k6_cqc_lang(A,C),B) => k7_cqc_sim1(A,k6_cqc_lang(A,C)) = k5_numbers ) ) & ( ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) & ( r2_qc_lang2(A,D,B) => k7_cqc_sim1(A,D) = k5_numbers ) ) => ( r2_qc_lang2(A,k7_cqc_lang(A,C,D),B) => k7_cqc_sim1(A,k7_cqc_lang(A,C,D)) = k5_numbers ) ) & ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) => ( r2_qc_lang2(A,k11_cqc_lang(A,E,C),B) => k7_cqc_sim1(A,k11_cqc_lang(A,E,C)) = k5_numbers ) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) ) ) ) )).
fof(s1_cqc_lang__e6_44__substut2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(A)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(A),k8_qc_lang1(A,F)) => ( ( r2_qc_lang2(A,k5_cqc_lang(A),B) => k7_cqc_sim1(A,k5_cqc_lang(A)) = k5_numbers ) & ( r2_qc_lang2(A,k4_cqc_lang(F,A,H,G),B) => k7_cqc_sim1(A,k4_cqc_lang(F,A,H,G)) = k5_numbers ) & ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) => ( r2_qc_lang2(A,k6_cqc_lang(A,C),B) => k7_cqc_sim1(A,k6_cqc_lang(A,C)) = k5_numbers ) ) & ( ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) & ( r2_qc_lang2(A,D,B) => k7_cqc_sim1(A,D) = k5_numbers ) ) => ( r2_qc_lang2(A,k7_cqc_lang(A,C,D),B) => k7_cqc_sim1(A,k7_cqc_lang(A,C,D)) = k5_numbers ) ) & ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) => ( r2_qc_lang2(A,k11_cqc_lang(A,E,C),B) => k7_cqc_sim1(A,k11_cqc_lang(A,E,C)) = k5_numbers ) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) ) ) ) )).
fof(s1_cqc_lang__e6_46__substut2,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(A)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(A),k8_qc_lang1(A,F)) => ( ( r2_qc_lang2(A,k5_cqc_lang(A),B) => k7_cqc_sim1(A,k5_cqc_lang(A)) = k5_numbers ) & ( r2_qc_lang2(A,k4_cqc_lang(F,A,H,G),B) => k7_cqc_sim1(A,k4_cqc_lang(F,A,H,G)) = k5_numbers ) & ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) => ( r2_qc_lang2(A,k6_cqc_lang(A,C),B) => k7_cqc_sim1(A,k6_cqc_lang(A,C)) = k5_numbers ) ) & ( ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) & ( r2_qc_lang2(A,D,B) => k7_cqc_sim1(A,D) = k5_numbers ) ) => ( r2_qc_lang2(A,k7_cqc_lang(A,C,D),B) => k7_cqc_sim1(A,k7_cqc_lang(A,C,D)) = k5_numbers ) ) & ( ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) => ( r2_qc_lang2(A,k11_cqc_lang(A,E,C),B) => k7_cqc_sim1(A,k11_cqc_lang(A,E,C)) = k5_numbers ) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_qc_lang2(A,C,B) => k7_cqc_sim1(A,C) = k5_numbers ) ) ) ) )).
fof(s1_cqc_lang__e7_13__qc_trans,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(A)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(A),k8_qc_lang1(A,F)) => ( m2_subset_1(k5_cqc_lang(A),k9_qc_lang1(B),k3_cqc_lang(B)) & m2_subset_1(k4_cqc_lang(F,A,H,G),k9_qc_lang1(B),k3_cqc_lang(B)) & ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => m2_subset_1(k6_cqc_lang(A,C),k9_qc_lang1(B),k3_cqc_lang(B)) ) & ( ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) & m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) ) => m2_subset_1(k7_cqc_lang(A,C,D),k9_qc_lang1(B),k3_cqc_lang(B)) ) & ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => m2_subset_1(k11_cqc_lang(A,E,C),k9_qc_lang1(B),k3_cqc_lang(B)) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) ) ) ) )).
fof(s1_cqc_lang__e7_20_7__goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(B),k3_qc_lang1(B)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(B)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(B)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(B),k8_qc_lang1(B,F)) => ( ? [I] : ( m1_subset_1(I,k4_ordinal1) & m2_subset_1(k5_cqc_lang(B),k9_qc_lang1(k5_goedcpuc(A,I)),k3_cqc_lang(k5_goedcpuc(A,I))) ) & ? [J] : ( m1_subset_1(J,k4_ordinal1) & m2_subset_1(k4_cqc_lang(F,B,H,G),k9_qc_lang1(k5_goedcpuc(A,J)),k3_cqc_lang(k5_goedcpuc(A,J))) ) & ( ? [K] : ( m1_subset_1(K,k4_ordinal1) & m2_subset_1(C,k9_qc_lang1(k5_goedcpuc(A,K)),k3_cqc_lang(k5_goedcpuc(A,K))) ) => ? [L] : ( m1_subset_1(L,k4_ordinal1) & m2_subset_1(k6_cqc_lang(B,C),k9_qc_lang1(k5_goedcpuc(A,L)),k3_cqc_lang(k5_goedcpuc(A,L))) ) ) & ( ( ? [M] : ( m1_subset_1(M,k4_ordinal1) & m2_subset_1(C,k9_qc_lang1(k5_goedcpuc(A,M)),k3_cqc_lang(k5_goedcpuc(A,M))) ) & ? [N] : ( m1_subset_1(N,k4_ordinal1) & m2_subset_1(D,k9_qc_lang1(k5_goedcpuc(A,N)),k3_cqc_lang(k5_goedcpuc(A,N))) ) ) => ? [O] : ( m1_subset_1(O,k4_ordinal1) & m2_subset_1(k7_cqc_lang(B,C,D),k9_qc_lang1(k5_goedcpuc(A,O)),k3_cqc_lang(k5_goedcpuc(A,O))) ) ) & ( ? [P] : ( m1_subset_1(P,k4_ordinal1) & m2_subset_1(C,k9_qc_lang1(k5_goedcpuc(A,P)),k3_cqc_lang(k5_goedcpuc(A,P))) ) => ? [Q] : ( m1_subset_1(Q,k4_ordinal1) & m2_subset_1(k11_cqc_lang(B,E,C),k9_qc_lang1(k5_goedcpuc(A,Q)),k3_cqc_lang(k5_goedcpuc(A,Q))) ) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => ? [R] : ( m1_subset_1(R,k4_ordinal1) & m2_subset_1(C,k9_qc_lang1(k5_goedcpuc(A,R)),k3_cqc_lang(k5_goedcpuc(A,R))) ) ) ) ) )).
fof(s1_cqc_lang__e7_22__qc_trans,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(A)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(A),k8_qc_lang1(A,F)) => ( k24_qc_lang1(A,k5_cqc_lang(A)) = k24_qc_lang1(B,k1_qc_trans(A,B,k5_cqc_lang(A))) & k24_qc_lang1(A,k4_cqc_lang(F,A,H,G)) = k24_qc_lang1(B,k1_qc_trans(A,B,k4_cqc_lang(F,A,H,G))) & ( k24_qc_lang1(A,C) = k24_qc_lang1(B,k1_qc_trans(A,B,C)) => k24_qc_lang1(A,k6_cqc_lang(A,C)) = k24_qc_lang1(B,k1_qc_trans(A,B,k6_cqc_lang(A,C))) ) & ( ( k24_qc_lang1(A,C) = k24_qc_lang1(B,k1_qc_trans(A,B,C)) & k24_qc_lang1(A,D) = k24_qc_lang1(B,k1_qc_trans(A,B,D)) ) => k24_qc_lang1(A,k7_cqc_lang(A,C,D)) = k24_qc_lang1(B,k1_qc_trans(A,B,k7_cqc_lang(A,C,D))) ) & ( k24_qc_lang1(A,C) = k24_qc_lang1(B,k1_qc_trans(A,B,C)) => k24_qc_lang1(A,k11_cqc_lang(A,E,C)) = k24_qc_lang1(B,k1_qc_trans(A,B,k11_cqc_lang(A,E,C))) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => k24_qc_lang1(A,C) = k24_qc_lang1(B,k1_qc_trans(A,B,C)) ) ) ) )).
fof(s1_cqc_lang__e7_27__qc_trans,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(A)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(A),k8_qc_lang1(A,F)) => ( ! [I] : ( m2_subset_1(I,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [J] : ( m1_subset_1(J,k1_substut1(A)) => ! [K] : ( m1_subset_1(K,k1_substut1(B)) => ( ( k5_cqc_lang(A) = I & J = K ) => k39_substut1(A,k2_substut2(A,k5_cqc_lang(A),J)) = k39_substut1(B,k2_substut2(B,I,K)) ) ) ) ) & ! [L] : ( m2_subset_1(L,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [M] : ( m1_subset_1(M,k1_substut1(A)) => ! [N] : ( m1_subset_1(N,k1_substut1(B)) => ( ( k4_cqc_lang(F,A,H,G) = L & M = N ) => k39_substut1(A,k2_substut2(A,k4_cqc_lang(F,A,H,G),M)) = k39_substut1(B,k2_substut2(B,L,N)) ) ) ) ) & ( ! [O] : ( m2_subset_1(O,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [P] : ( m1_subset_1(P,k1_substut1(A)) => ! [Q] : ( m1_subset_1(Q,k1_substut1(B)) => ( ( C = O & P = Q ) => k39_substut1(A,k2_substut2(A,C,P)) = k39_substut1(B,k2_substut2(B,O,Q)) ) ) ) ) => ! [R] : ( m2_subset_1(R,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [S] : ( m1_subset_1(S,k1_substut1(A)) => ! [T] : ( m1_subset_1(T,k1_substut1(B)) => ( ( k6_cqc_lang(A,C) = R & S = T ) => k39_substut1(A,k2_substut2(A,k6_cqc_lang(A,C),S)) = k39_substut1(B,k2_substut2(B,R,T)) ) ) ) ) ) & ( ( ! [U] : ( m2_subset_1(U,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [V] : ( m1_subset_1(V,k1_substut1(A)) => ! [W] : ( m1_subset_1(W,k1_substut1(B)) => ( ( C = U & V = W ) => k39_substut1(A,k2_substut2(A,C,V)) = k39_substut1(B,k2_substut2(B,U,W)) ) ) ) ) & ! [X] : ( m2_subset_1(X,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [Y] : ( m1_subset_1(Y,k1_substut1(A)) => ! [Z] : ( m1_subset_1(Z,k1_substut1(B)) => ( ( D = X & Y = Z ) => k39_substut1(A,k2_substut2(A,D,Y)) = k39_substut1(B,k2_substut2(B,X,Z)) ) ) ) ) ) => ! [A1] : ( m2_subset_1(A1,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [B1] : ( m1_subset_1(B1,k1_substut1(A)) => ! [C1] : ( m1_subset_1(C1,k1_substut1(B)) => ( ( k7_cqc_lang(A,C,D) = A1 & B1 = C1 ) => k39_substut1(A,k2_substut2(A,k7_cqc_lang(A,C,D),B1)) = k39_substut1(B,k2_substut2(B,A1,C1)) ) ) ) ) ) & ( ! [D1] : ( m2_subset_1(D1,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [E1] : ( m1_subset_1(E1,k1_substut1(A)) => ! [F1] : ( m1_subset_1(F1,k1_substut1(B)) => ( ( C = D1 & E1 = F1 ) => k39_substut1(A,k2_substut2(A,C,E1)) = k39_substut1(B,k2_substut2(B,D1,F1)) ) ) ) ) => ! [G1] : ( m2_subset_1(G1,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [H1] : ( m1_subset_1(H1,k1_substut1(A)) => ! [I1] : ( m1_subset_1(I1,k1_substut1(B)) => ( ( k11_cqc_lang(A,E,C) = G1 & H1 = I1 ) => k39_substut1(A,k2_substut2(A,k11_cqc_lang(A,E,C),H1)) = k39_substut1(B,k2_substut2(B,G1,I1)) ) ) ) ) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [J1] : ( m2_subset_1(J1,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [K1] : ( m1_subset_1(K1,k1_substut1(A)) => ! [L1] : ( m1_subset_1(L1,k1_substut1(B)) => ( ( C = J1 & K1 = L1 ) => k39_substut1(A,k2_substut2(A,C,K1)) = k39_substut1(B,k2_substut2(B,J1,L1)) ) ) ) ) ) ) ) )).
fof(s1_cqc_lang__e7_29__qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,E) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ! [G] : ( m2_subset_1(G,k6_qc_lang1(A),k8_qc_lang1(A,E)) => ( ? [H] : ( v4_card_3(H) & m1_qc_lang1(H) & m2_subset_1(k5_cqc_lang(A),k9_qc_lang1(H),k3_cqc_lang(H)) & v1_qc_trans(A,H) ) & ? [I] : ( v4_card_3(I) & m1_qc_lang1(I) & m2_subset_1(k4_cqc_lang(E,A,G,F),k9_qc_lang1(I),k3_cqc_lang(I)) & v1_qc_trans(A,I) ) & ( ? [J] : ( v4_card_3(J) & m1_qc_lang1(J) & m2_subset_1(B,k9_qc_lang1(J),k3_cqc_lang(J)) & v1_qc_trans(A,J) ) => ? [K] : ( v4_card_3(K) & m1_qc_lang1(K) & m2_subset_1(k6_cqc_lang(A,B),k9_qc_lang1(K),k3_cqc_lang(K)) & v1_qc_trans(A,K) ) ) & ( ( ? [L] : ( v4_card_3(L) & m1_qc_lang1(L) & m2_subset_1(B,k9_qc_lang1(L),k3_cqc_lang(L)) & v1_qc_trans(A,L) ) & ? [M] : ( v4_card_3(M) & m1_qc_lang1(M) & m2_subset_1(C,k9_qc_lang1(M),k3_cqc_lang(M)) & v1_qc_trans(A,M) ) ) => ? [N] : ( v4_card_3(N) & m1_qc_lang1(N) & m2_subset_1(k7_cqc_lang(A,B,C),k9_qc_lang1(N),k3_cqc_lang(N)) & v1_qc_trans(A,N) ) ) & ( ? [O] : ( v4_card_3(O) & m1_qc_lang1(O) & m2_subset_1(B,k9_qc_lang1(O),k3_cqc_lang(O)) & v1_qc_trans(A,O) ) => ? [P] : ( v4_card_3(P) & m1_qc_lang1(P) & m2_subset_1(k11_cqc_lang(A,D,B),k9_qc_lang1(P),k3_cqc_lang(P)) & v1_qc_trans(A,P) ) ) ) ) ) ) ) ) ) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ? [Q] : ( v4_card_3(Q) & m1_qc_lang1(Q) & m2_subset_1(B,k9_qc_lang1(Q),k3_cqc_lang(Q)) & v1_qc_trans(A,Q) ) ) ) ) )).
fof(s1_cqc_lang__e9_24__qc_trans,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v5_relat_1(G,k3_qc_lang1(A)) & v3_card_1(G,F) & m2_finseq_1(G,k2_qc_lang1(A)) ) => ! [H] : ( m2_subset_1(H,k6_qc_lang1(A),k8_qc_lang1(A,F)) => ( ! [I] : ( m2_subset_1(I,k9_qc_lang1(B),k3_cqc_lang(B)) => ( k5_cqc_lang(A) = I => k9_substut1(A,k5_cqc_lang(A)) = k9_substut1(B,I) ) ) & ! [J] : ( m2_subset_1(J,k9_qc_lang1(B),k3_cqc_lang(B)) => ( k4_cqc_lang(F,A,H,G) = J => k9_substut1(A,k4_cqc_lang(F,A,H,G)) = k9_substut1(B,J) ) ) & ( ! [K] : ( m2_subset_1(K,k9_qc_lang1(B),k3_cqc_lang(B)) => ( C = K => k9_substut1(A,C) = k9_substut1(B,K) ) ) => ! [L] : ( m2_subset_1(L,k9_qc_lang1(B),k3_cqc_lang(B)) => ( k6_cqc_lang(A,C) = L => k9_substut1(A,k6_cqc_lang(A,C)) = k9_substut1(B,L) ) ) ) & ( ( ! [M] : ( m2_subset_1(M,k9_qc_lang1(B),k3_cqc_lang(B)) => ( C = M => k9_substut1(A,C) = k9_substut1(B,M) ) ) & ! [N] : ( m2_subset_1(N,k9_qc_lang1(B),k3_cqc_lang(B)) => ( D = N => k9_substut1(A,D) = k9_substut1(B,N) ) ) ) => ! [O] : ( m2_subset_1(O,k9_qc_lang1(B),k3_cqc_lang(B)) => ( k7_cqc_lang(A,C,D) = O => k9_substut1(A,k7_cqc_lang(A,C,D)) = k9_substut1(B,O) ) ) ) & ( ! [P] : ( m2_subset_1(P,k9_qc_lang1(B),k3_cqc_lang(B)) => ( C = P => k9_substut1(A,C) = k9_substut1(B,P) ) ) => ! [Q] : ( m2_subset_1(Q,k9_qc_lang1(B),k3_cqc_lang(B)) => ( k11_cqc_lang(A,E,C) = Q => k9_substut1(A,k11_cqc_lang(A,E,C)) = k9_substut1(B,Q) ) ) ) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [R] : ( m2_subset_1(R,k9_qc_lang1(B),k3_cqc_lang(B)) => ( C = R => k9_substut1(A,C) = k9_substut1(B,R) ) ) ) ) ) )).
fof(s1_dilworth__e42_99_1_2_1_1_2_2__dilworth,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v4_dilworth(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_dilworth(C,k5_yellow_0(A,B)) & m1_eqrel_1(C,u1_struct_0(k5_yellow_0(A,B))) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v5_dilworth(E,k5_yellow_0(A,D)) & m1_eqrel_1(E,u1_struct_0(k5_yellow_0(A,D))) ) => ( E = a_4_1_dilworth(A,B,C,D) => r1_xxreal_0(k4_card_1(E),k4_card_1(C)) ) ) )).
fof(s1_dilworth__e4_10_1_2__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ( k1_mycielsk(A,B,C) = a_3_1_mycielsk(A,C,D) => r1_xxreal_0(k4_card_1(k1_mycielsk(A,B,C)),k4_card_1(D)) ) ) )).
fof(s1_eqrel_1__e4_13__ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( r2_hidden(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D = C & E = C & r2_tarski(k5_algstr_0(A,D,E),B) ) ) ) & ! [C] : ! [F] : ( ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & G = C & H = F & r2_tarski(k5_algstr_0(A,G,H),B) ) ) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & I = F & J = C & r2_tarski(k5_algstr_0(A,I,J),B) ) ) ) & ! [C] : ! [F] : ! [K] : ( ( ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & L = C & M = F & r2_tarski(k5_algstr_0(A,L,M),B) ) ) & ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ? [O] : ( m1_subset_1(O,u1_struct_0(A)) & N = F & O = K & r2_tarski(k5_algstr_0(A,N,O),B) ) ) ) => ? [P] : ( m1_subset_1(P,u1_struct_0(A)) & ? [Q] : ( m1_subset_1(Q,u1_struct_0(A)) & P = C & Q = K & r2_tarski(k5_algstr_0(A,P,Q),B) ) ) ) ) => ? [C] : ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [F] : ! [K] : ( r2_hidden(k4_tarski(F,K),C) <=> ( r2_hidden(F,u1_struct_0(A)) & r2_hidden(K,u1_struct_0(A)) & ? [R] : ( m1_subset_1(R,u1_struct_0(A)) & ? [S] : ( m1_subset_1(S,u1_struct_0(A)) & R = F & S = K & r2_tarski(k5_algstr_0(A,R,S),B) ) ) ) ) ) ) ) )).
fof(s1_eqrel_1__e5_49__topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( r2_hidden(D,k1_topalg_1(A,B,C)) => ? [E] : ( m1_borsuk_2(E,A,B,C) & ? [F] : ( m1_borsuk_2(F,A,B,C) & E = D & F = D & r3_borsuk_2(A,B,C,E,F) ) ) ) & ! [D] : ! [G] : ( ? [H] : ( m1_borsuk_2(H,A,B,C) & ? [I] : ( m1_borsuk_2(I,A,B,C) & H = D & I = G & r3_borsuk_2(A,B,C,H,I) ) ) => ? [J] : ( m1_borsuk_2(J,A,B,C) & ? [K] : ( m1_borsuk_2(K,A,B,C) & J = G & K = D & r3_borsuk_2(A,B,C,J,K) ) ) ) & ! [D] : ! [G] : ! [L] : ( ( ? [M] : ( m1_borsuk_2(M,A,B,C) & ? [N] : ( m1_borsuk_2(N,A,B,C) & M = D & N = G & r3_borsuk_2(A,B,C,M,N) ) ) & ? [O] : ( m1_borsuk_2(O,A,B,C) & ? [P] : ( m1_borsuk_2(P,A,B,C) & O = G & P = L & r3_borsuk_2(A,B,C,O,P) ) ) ) => ? [Q] : ( m1_borsuk_2(Q,A,B,C) & ? [R] : ( m1_borsuk_2(R,A,B,C) & Q = D & R = L & r3_borsuk_2(A,B,C,Q,R) ) ) ) ) => ? [D] : ( v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,k1_topalg_1(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_topalg_1(A,B,C),k1_topalg_1(A,B,C)))) & ! [G] : ! [L] : ( r2_hidden(k4_tarski(G,L),D) <=> ( r2_hidden(G,k1_topalg_1(A,B,C)) & r2_hidden(L,k1_topalg_1(A,B,C)) & ? [S] : ( m1_borsuk_2(S,A,B,C) & ? [T] : ( m1_borsuk_2(T,A,B,C) & S = G & T = L & r3_borsuk_2(A,B,C,S,T) ) ) ) ) ) ) ) )).
fof(s1_eqrel_1__e6_41_1__eqrel_1,axiom,( ! [A] : ! [B] : ( m1_eqrel_1(B,A) => ( ( ! [C] : ( r2_hidden(C,A) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & r2_tarski(D,B) & r2_hidden(C,D) & r2_hidden(C,D) ) ) & ! [C] : ! [E] : ( ? [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) & r2_tarski(F,B) & r2_hidden(C,F) & r2_hidden(E,F) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) & r2_tarski(G,B) & r2_hidden(E,G) & r2_hidden(C,G) ) ) & ! [C] : ! [E] : ! [H] : ( ( ? [I] : ( m1_subset_1(I,k1_zfmisc_1(A)) & r2_tarski(I,B) & r2_hidden(C,I) & r2_hidden(E,I) ) & ? [J] : ( m1_subset_1(J,k1_zfmisc_1(A)) & r2_tarski(J,B) & r2_hidden(E,J) & r2_hidden(H,J) ) ) => ? [K] : ( m1_subset_1(K,k1_zfmisc_1(A)) & r2_tarski(K,B) & r2_hidden(C,K) & r2_hidden(H,K) ) ) ) => ? [C] : ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [E] : ! [H] : ( r2_hidden(k4_tarski(E,H),C) <=> ( r2_hidden(E,A) & r2_hidden(H,A) & ? [L] : ( m1_subset_1(L,k1_zfmisc_1(A)) & r2_tarski(L,B) & r2_hidden(E,L) & r2_hidden(H,L) ) ) ) ) ) ) )).
fof(s1_eqrel_1__e8_106_1_2__rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & ~ v1_xboole_0(B) ) => ( ( ! [C] : ( r2_hidden(C,B) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( v3_pre_topc(F,A) & m1_connsp_2(F,A,k4_struct_0(A)) & ? [G] : ( v3_pre_topc(G,A) & m1_connsp_2(G,A,k4_struct_0(A)) & C = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),D,F) & C = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),E,G) & k5_rusub_4(A,F,D) = k5_rusub_4(A,G,E) ) ) ) ) ) & ! [C] : ! [H] : ( ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & ? [K] : ( v3_pre_topc(K,A) & m1_connsp_2(K,A,k4_struct_0(A)) & ? [L] : ( v3_pre_topc(L,A) & m1_connsp_2(L,A,k4_struct_0(A)) & C = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),I,K) & H = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),J,L) & k5_rusub_4(A,K,I) = k5_rusub_4(A,L,J) ) ) ) ) => ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ? [O] : ( v3_pre_topc(O,A) & m1_connsp_2(O,A,k4_struct_0(A)) & ? [P] : ( v3_pre_topc(P,A) & m1_connsp_2(P,A,k4_struct_0(A)) & H = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),M,O) & C = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),N,P) & k5_rusub_4(A,O,M) = k5_rusub_4(A,P,N) ) ) ) ) ) & ! [C] : ! [H] : ! [Q] : ( ( ? [R] : ( m1_subset_1(R,u1_struct_0(A)) & ? [S] : ( m1_subset_1(S,u1_struct_0(A)) & ? [T] : ( v3_pre_topc(T,A) & m1_connsp_2(T,A,k4_struct_0(A)) & ? [U] : ( v3_pre_topc(U,A) & m1_connsp_2(U,A,k4_struct_0(A)) & C = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),R,T) & H = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),S,U) & k5_rusub_4(A,T,R) = k5_rusub_4(A,U,S) ) ) ) ) & ? [V] : ( m1_subset_1(V,u1_struct_0(A)) & ? [W] : ( m1_subset_1(W,u1_struct_0(A)) & ? [X] : ( v3_pre_topc(X,A) & m1_connsp_2(X,A,k4_struct_0(A)) & ? [Y] : ( v3_pre_topc(Y,A) & m1_connsp_2(Y,A,k4_struct_0(A)) & H = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),V,X) & Q = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),W,Y) & k5_rusub_4(A,X,V) = k5_rusub_4(A,Y,W) ) ) ) ) ) => ? [Z] : ( m1_subset_1(Z,u1_struct_0(A)) & ? [A1] : ( m1_subset_1(A1,u1_struct_0(A)) & ? [B1] : ( v3_pre_topc(B1,A) & m1_connsp_2(B1,A,k4_struct_0(A)) & ? [C1] : ( v3_pre_topc(C1,A) & m1_connsp_2(C1,A,k4_struct_0(A)) & C = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),Z,B1) & Q = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),A1,C1) & k5_rusub_4(A,B1,Z) = k5_rusub_4(A,C1,A1) ) ) ) ) ) ) => ? [C] : ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ! [H] : ! [Q] : ( r2_hidden(k4_tarski(H,Q),C) <=> ( r2_hidden(H,B) & r2_hidden(Q,B) & ? [D1] : ( m1_subset_1(D1,u1_struct_0(A)) & ? [E1] : ( m1_subset_1(E1,u1_struct_0(A)) & ? [F1] : ( v3_pre_topc(F1,A) & m1_connsp_2(F1,A,k4_struct_0(A)) & ? [G1] : ( v3_pre_topc(G1,A) & m1_connsp_2(G1,A,k4_struct_0(A)) & H = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),D1,F1) & Q = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),E1,G1) & k5_rusub_4(A,F1,D1) = k5_rusub_4(A,G1,E1) ) ) ) ) ) ) ) ) ) )).
fof(s1_eqrel_1__e8_81_1_2__rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ( ( ! [B] : ( r2_hidden(B,k1_relat_1(A)) => r2_rewrite1(A,B,B) ) & ! [B] : ! [C] : ( r2_rewrite1(A,B,C) => r2_rewrite1(A,C,B) ) & ! [B] : ! [C] : ! [D] : ( ( r2_rewrite1(A,B,C) & r2_rewrite1(A,C,D) ) => r2_rewrite1(A,B,D) ) ) => ? [B] : ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,k1_relat_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_relat_1(A),k1_relat_1(A)))) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,k1_relat_1(A)) & r2_hidden(D,k1_relat_1(A)) & r2_rewrite1(A,C,D) ) ) ) ) ) )).
fof(s1_exchsort__e7_122__exchsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) & v2_exchsort(C,k5_numbers) & m2_exchsort(C,A,B) ) => ( ( v1_finset_1(k1_card_1(k6_exchsort(A,k1_funct_1(C,k5_numbers)))) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(k1_ordinal1(D),k9_xtuple_0(C)) & v1_finset_1(k1_card_1(k6_exchsort(A,k1_funct_1(C,D)))) ) => r2_xboole_0(k1_card_1(k6_exchsort(A,k1_funct_1(C,k1_ordinal1(D)))),k1_card_1(k6_exchsort(A,k1_funct_1(C,D)))) ) ) ) => v1_finset_1(C) ) ) )).
fof(s1_fib_num2__e4_20_1__fib_num3,axiom,( ( r1_xxreal_0(k1_fib_num3(1),k1_fib_num3(k1_nat_1(1,1))) & r1_xxreal_0(k1_fib_num3(2),k1_fib_num3(k1_nat_1(2,1))) & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ( r1_xxreal_0(k1_fib_num3(A),k1_fib_num3(k1_nat_1(A,1))) & r1_xxreal_0(k1_fib_num3(k1_nat_1(A,1)),k1_fib_num3(k1_nat_1(k1_nat_1(A,1),1))) ) => r1_xxreal_0(k1_fib_num3(k1_nat_1(A,2)),k1_fib_num3(k1_nat_1(k1_nat_1(A,2),1))) ) ) ) => ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => r1_xxreal_0(k1_fib_num3(A),k1_fib_num3(k1_nat_1(A,1))) ) )).
fof(s1_fib_num2__e6_51__fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k1_pre_ff(k2_xcmplx_0(A,1)) = k1_nat_1(k2_nat_1(k1_pre_ff(1),k1_pre_ff(k1_nat_1(A,1))),k2_nat_1(k1_pre_ff(k7_nat_d(1,1)),k1_pre_ff(A))) & k1_pre_ff(k2_xcmplx_0(A,2)) = k1_nat_1(k2_nat_1(k1_pre_ff(2),k1_pre_ff(k1_nat_1(A,1))),k2_nat_1(k1_pre_ff(k7_nat_d(2,1)),k1_pre_ff(A))) & ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ( k1_pre_ff(k2_xcmplx_0(A,B)) = k1_nat_1(k2_nat_1(k1_pre_ff(B),k1_pre_ff(k1_nat_1(A,1))),k2_nat_1(k1_pre_ff(k7_nat_d(B,1)),k1_pre_ff(A))) & k1_pre_ff(k2_xcmplx_0(A,k1_nat_1(B,1))) = k1_nat_1(k2_nat_1(k1_pre_ff(k1_nat_1(B,1)),k1_pre_ff(k1_nat_1(A,1))),k2_nat_1(k1_pre_ff(k7_nat_d(k1_nat_1(B,1),1)),k1_pre_ff(A))) ) => k1_pre_ff(k2_xcmplx_0(A,k1_nat_1(B,2))) = k1_nat_1(k2_nat_1(k1_pre_ff(k1_nat_1(B,2)),k1_pre_ff(k1_nat_1(A,1))),k2_nat_1(k1_pre_ff(k7_nat_d(k1_nat_1(B,2),1)),k1_pre_ff(A))) ) ) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k1_pre_ff(k2_xcmplx_0(A,B)) = k1_nat_1(k2_nat_1(k1_pre_ff(B),k1_pre_ff(k1_nat_1(A,1))),k2_nat_1(k1_pre_ff(k7_nat_d(B,1)),k1_pre_ff(A))) ) ) ) )).
fof(s1_fib_num2__e8_47_1__fib_num3,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( ( k3_fib_num3(A,B,1) = k1_nat_1(k2_nat_1(k3_fib_num3(A,B,k5_numbers),k1_pre_ff(k7_nat_d(1,1))),k2_nat_1(k3_fib_num3(A,B,1),k1_pre_ff(1))) & k3_fib_num3(A,B,2) = k1_nat_1(k2_nat_1(k3_fib_num3(A,B,k5_numbers),k1_pre_ff(k7_nat_d(2,1))),k2_nat_1(k3_fib_num3(A,B,1),k1_pre_ff(2))) & ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( ( k3_fib_num3(A,B,C) = k1_nat_1(k2_nat_1(k3_fib_num3(A,B,k5_numbers),k1_pre_ff(k7_nat_d(C,1))),k2_nat_1(k3_fib_num3(A,B,1),k1_pre_ff(C))) & k3_fib_num3(A,B,k1_nat_1(C,1)) = k1_nat_1(k2_nat_1(k3_fib_num3(A,B,k5_numbers),k1_pre_ff(k7_nat_d(k1_nat_1(C,1),1))),k2_nat_1(k3_fib_num3(A,B,1),k1_pre_ff(k1_nat_1(C,1)))) ) => k3_fib_num3(A,B,k1_nat_1(C,2)) = k1_nat_1(k2_nat_1(k3_fib_num3(A,B,k5_numbers),k1_pre_ff(k7_nat_d(k1_nat_1(C,2),1))),k2_nat_1(k3_fib_num3(A,B,1),k1_pre_ff(k1_nat_1(C,2)))) ) ) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => k3_fib_num3(A,B,C) = k1_nat_1(k2_nat_1(k3_fib_num3(A,B,k5_numbers),k1_pre_ff(k7_nat_d(C,1))),k2_nat_1(k3_fib_num3(A,B,1),k1_pre_ff(C))) ) ) ) )).
fof(s1_fib_num__e15_76__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k1_newton(k1_fib_num,k5_numbers),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k5_numbers,1))) & r1_xxreal_0(k1_newton(k1_fib_num,1),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(1,1))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k1_newton(k1_fib_num,B),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))) & r1_xxreal_0(k1_newton(k1_fib_num,k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k1_nat_1(B,1),1))) ) => r1_xxreal_0(k1_newton(k1_fib_num,k1_nat_1(B,2)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k1_nat_1(B,2),1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_newton(k1_fib_num,B),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))) ) ) ) )).
fof(s1_fib_num__e16_63__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k1_newton(k1_fib_num,k5_numbers),k8_nat_1(k1_numbers,k5_real_3(A),k5_numbers)) & r1_xxreal_0(k1_newton(k1_fib_num,1),k8_nat_1(k1_numbers,k5_real_3(A),1)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k1_newton(k1_fib_num,B),k8_nat_1(k1_numbers,k5_real_3(A),B)) & r1_xxreal_0(k1_newton(k1_fib_num,k1_nat_1(B,1)),k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1))) ) => r1_xxreal_0(k1_newton(k1_fib_num,k1_nat_1(B,2)),k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,2))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_newton(k1_fib_num,B),k8_nat_1(k1_numbers,k5_real_3(A),B)) ) ) ) )).
fof(s1_fib_num__e22_77__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k5_numbers),k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(k5_numbers,1))) & r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),1),k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(1,1))) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),C),k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(C,1))) & r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(C,1)),k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(k1_nat_1(C,1),1))) ) => r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(C,2)),k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(k1_nat_1(C,2),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),C),k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(C,1))) ) ) ) )).
fof(s1_fib_num__e23_71__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(k5_numbers,1)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(k5_numbers,1))) & r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(1,1)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(1,1))) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(C,1)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(C,1))) & r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(k1_nat_1(C,1),1)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(k1_nat_1(C,1),1))) ) => r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(k1_nat_1(C,2),1)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(k1_nat_1(C,2),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(B),k1_nat_1(C,1)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(C,1))) ) ) ) )).
fof(s1_fib_num__e24_64__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(B),k5_numbers),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(k5_numbers,1))) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(B),1),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(1,1))) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(B),C),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(C,1))) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(B),k1_nat_1(C,1)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(k1_nat_1(C,1),1))) ) => r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(B),k1_nat_1(C,2)),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(k1_nat_1(C,2),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(B),C),k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),4))),2),k1_nat_1(C,1))) ) ) ) )).
fof(s1_fib_num__e4_10__fib_num,axiom,( ( ! [A] : ( v7_ordinal1(A) => k1_pre_ff(k1_nat_1(k5_numbers,k1_nat_1(A,1))) = k1_nat_1(k2_nat_1(k1_pre_ff(A),k1_pre_ff(k5_numbers)),k2_nat_1(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k5_numbers,1)))) ) & ! [B] : ( v7_ordinal1(B) => k1_pre_ff(k1_nat_1(1,k1_nat_1(B,1))) = k1_nat_1(k2_nat_1(k1_pre_ff(B),k1_pre_ff(1)),k2_nat_1(k1_pre_ff(k1_nat_1(B,1)),k1_pre_ff(k1_nat_1(1,1)))) ) & ! [C] : ( v7_ordinal1(C) => ( ( ! [D] : ( v7_ordinal1(D) => k1_pre_ff(k1_nat_1(C,k1_nat_1(D,1))) = k1_nat_1(k2_nat_1(k1_pre_ff(D),k1_pre_ff(C)),k2_nat_1(k1_pre_ff(k1_nat_1(D,1)),k1_pre_ff(k1_nat_1(C,1)))) ) & ! [E] : ( v7_ordinal1(E) => k1_pre_ff(k1_nat_1(k1_nat_1(C,1),k1_nat_1(E,1))) = k1_nat_1(k2_nat_1(k1_pre_ff(E),k1_pre_ff(k1_nat_1(C,1))),k2_nat_1(k1_pre_ff(k1_nat_1(E,1)),k1_pre_ff(k1_nat_1(k1_nat_1(C,1),1)))) ) ) => ! [F] : ( v7_ordinal1(F) => k1_pre_ff(k1_nat_1(k1_nat_1(C,2),k1_nat_1(F,1))) = k1_nat_1(k2_nat_1(k1_pre_ff(F),k1_pre_ff(k1_nat_1(C,2))),k2_nat_1(k1_pre_ff(k1_nat_1(F,1)),k1_pre_ff(k1_nat_1(k1_nat_1(C,2),1)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [G] : ( v7_ordinal1(G) => k1_pre_ff(k1_nat_1(C,k1_nat_1(G,1))) = k1_nat_1(k2_nat_1(k1_pre_ff(G),k1_pre_ff(C)),k2_nat_1(k1_pre_ff(k1_nat_1(G,1)),k1_pre_ff(k1_nat_1(C,1)))) ) ) )).
fof(s1_fib_num__e4_19__fib_num3,axiom,( ( r1_xxreal_0(k5_numbers,k1_fib_num3(k5_numbers)) & r1_xxreal_0(1,k1_fib_num3(1)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(A,k1_fib_num3(A)) & r1_xxreal_0(k1_nat_1(A,1),k1_fib_num3(k1_nat_1(A,1))) ) => r1_xxreal_0(k1_nat_1(A,2),k1_fib_num3(k1_nat_1(A,2))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k1_fib_num3(A)) ) )).
fof(s1_fib_num__e4_23__cardfin2,axiom,( ( ! [A] : ( v1_finset_1(A) => ( k4_card_1(A) = k5_numbers => k1_funct_1(k3_cardfin2,k5_numbers) = k4_card_1(k2_cardfin2(A)) ) ) & ! [B] : ( v1_finset_1(B) => ( k4_card_1(B) = 1 => k1_funct_1(k3_cardfin2,1) = k4_card_1(k2_cardfin2(B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ! [D] : ( v1_finset_1(D) => ( k4_card_1(D) = C => k1_funct_1(k3_cardfin2,C) = k4_card_1(k2_cardfin2(D)) ) ) & ! [E] : ( v1_finset_1(E) => ( k4_card_1(E) = k1_nat_1(C,1) => k1_funct_1(k3_cardfin2,k1_nat_1(C,1)) = k4_card_1(k2_cardfin2(E)) ) ) ) => ! [F] : ( v1_finset_1(F) => ( k4_card_1(F) = k1_nat_1(C,2) => k1_funct_1(k3_cardfin2,k1_nat_1(C,2)) = k4_card_1(k2_cardfin2(F)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [G] : ( v1_finset_1(G) => ( k4_card_1(G) = C => k1_funct_1(k3_cardfin2,C) = k4_card_1(k2_cardfin2(G)) ) ) ) )).
fof(s1_fib_num__e4_26__fib_num3,axiom,( ( k6_xcmplx_0(k1_fib_num3(k1_nat_1(k5_numbers,3)),k2_nat_1(2,k1_fib_num3(k5_numbers))) = k2_nat_1(5,k1_pre_ff(k5_numbers)) & k6_xcmplx_0(k1_fib_num3(k1_nat_1(1,3)),k2_nat_1(2,k1_fib_num3(1))) = k2_nat_1(5,k1_pre_ff(1)) & ! [A] : ( v7_ordinal1(A) => ( ( k6_xcmplx_0(k1_fib_num3(k1_nat_1(A,3)),k2_nat_1(2,k1_fib_num3(A))) = k2_nat_1(5,k1_pre_ff(A)) & k6_xcmplx_0(k1_fib_num3(k1_nat_1(k1_nat_1(A,1),3)),k2_nat_1(2,k1_fib_num3(k1_nat_1(A,1)))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(A,1))) ) => k6_xcmplx_0(k1_fib_num3(k1_nat_1(k1_nat_1(A,2),3)),k2_nat_1(2,k1_fib_num3(k1_nat_1(A,2)))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(A,2))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k6_xcmplx_0(k1_fib_num3(k1_nat_1(A,3)),k2_nat_1(2,k1_fib_num3(A))) = k2_nat_1(5,k1_pre_ff(A)) ) )).
fof(s1_fib_num__e4_29__fib_num3,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k2_nat_1(2,k1_fib_num3(k2_xcmplx_0(A,k5_numbers))) = k1_nat_1(k2_nat_1(k1_fib_num3(A),k1_fib_num3(k5_numbers)),k2_nat_1(k2_nat_1(5,k1_pre_ff(A)),k1_pre_ff(k5_numbers))) ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => k2_nat_1(2,k1_fib_num3(k2_xcmplx_0(B,1))) = k1_nat_1(k2_nat_1(k1_fib_num3(B),k1_fib_num3(1)),k2_nat_1(k2_nat_1(5,k1_pre_ff(B)),k1_pre_ff(1))) ) & ! [C] : ( v7_ordinal1(C) => ( ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => k2_nat_1(2,k1_fib_num3(k2_xcmplx_0(D,C))) = k1_nat_1(k2_nat_1(k1_fib_num3(D),k1_fib_num3(C)),k2_nat_1(k2_nat_1(5,k1_pre_ff(D)),k1_pre_ff(C))) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k2_nat_1(2,k1_fib_num3(k2_xcmplx_0(E,k1_nat_1(C,1)))) = k1_nat_1(k2_nat_1(k1_fib_num3(E),k1_fib_num3(k1_nat_1(C,1))),k2_nat_1(k2_nat_1(5,k1_pre_ff(E)),k1_pre_ff(k1_nat_1(C,1)))) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => k2_nat_1(2,k1_fib_num3(k2_xcmplx_0(F,k1_nat_1(C,2)))) = k1_nat_1(k2_nat_1(k1_fib_num3(F),k1_fib_num3(k1_nat_1(C,2))),k2_nat_1(k2_nat_1(5,k1_pre_ff(F)),k1_pre_ff(k1_nat_1(C,2)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => k2_nat_1(2,k1_fib_num3(k2_xcmplx_0(G,C))) = k1_nat_1(k2_nat_1(k1_fib_num3(G),k1_fib_num3(C)),k2_nat_1(k2_nat_1(5,k1_pre_ff(G)),k1_pre_ff(C))) ) ) )).
fof(s1_fib_num__e4_42__fib_num3,axiom,( ( k3_fib_num3(k5_numbers,1,k5_numbers) = k1_pre_ff(k5_numbers) & k3_fib_num3(k5_numbers,1,1) = k1_pre_ff(1) & ! [A] : ( v7_ordinal1(A) => ( ( k3_fib_num3(k5_numbers,1,A) = k1_pre_ff(A) & k3_fib_num3(k5_numbers,1,k1_nat_1(A,1)) = k1_pre_ff(k1_nat_1(A,1)) ) => k3_fib_num3(k5_numbers,1,k1_nat_1(A,2)) = k1_pre_ff(k1_nat_1(A,2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k3_fib_num3(k5_numbers,1,A) = k1_pre_ff(A) ) )).
fof(s1_fib_num__e4_43__fib_num3,axiom,( ( k3_fib_num3(2,1,k5_numbers) = k1_fib_num3(k5_numbers) & k3_fib_num3(2,1,1) = k1_fib_num3(1) & ! [A] : ( v7_ordinal1(A) => ( ( k3_fib_num3(2,1,A) = k1_fib_num3(A) & k3_fib_num3(2,1,k1_nat_1(A,1)) = k1_fib_num3(k1_nat_1(A,1)) ) => k3_fib_num3(2,1,k1_nat_1(A,2)) = k1_fib_num3(k1_nat_1(A,2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k3_fib_num3(2,1,A) = k1_fib_num3(A) ) )).
fof(s1_fib_num__e4_48_1__fib_num3,axiom,( ( k2_nat_1(2,k1_pre_ff(k5_numbers)) = k3_fib_num3(k5_numbers,2,k5_numbers) & k2_nat_1(2,k1_pre_ff(1)) = k3_fib_num3(k5_numbers,2,1) & ! [A] : ( v7_ordinal1(A) => ( ( k2_nat_1(2,k1_pre_ff(A)) = k3_fib_num3(k5_numbers,2,A) & k2_nat_1(2,k1_pre_ff(k1_nat_1(A,1))) = k3_fib_num3(k5_numbers,2,k1_nat_1(A,1)) ) => k2_nat_1(2,k1_pre_ff(k1_nat_1(A,2))) = k3_fib_num3(k5_numbers,2,k1_nat_1(A,2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k2_nat_1(2,k1_pre_ff(A)) = k3_fib_num3(k5_numbers,2,A) ) )).
fof(s1_fib_num__e4_50__fib_num2,axiom,( ( k1_nat_1(k1_pepin(k1_pre_ff(k5_numbers)),k1_pepin(k1_pre_ff(k1_nat_1(k5_numbers,1)))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) & k1_nat_1(k1_pepin(k1_pre_ff(1)),k1_pepin(k1_pre_ff(k1_nat_1(1,1)))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,1),1)) & ! [A] : ( v7_ordinal1(A) => ( ( k1_nat_1(k1_pepin(k1_pre_ff(A)),k1_pepin(k1_pre_ff(k1_nat_1(A,1)))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),1)) & k1_nat_1(k1_pepin(k1_pre_ff(k1_nat_1(A,1))),k1_pepin(k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1)))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),1)) ) => k1_nat_1(k1_pepin(k1_pre_ff(k1_nat_1(A,2))),k1_pepin(k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1)))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,2)),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_nat_1(k1_pepin(k1_pre_ff(A)),k1_pepin(k1_pre_ff(k1_nat_1(A,1)))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),1)) ) )).
fof(s1_fib_num__e4_53__fib_num3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( ( k3_fib_num3(k3_fib_num3(A,B,C),k3_fib_num3(A,B,k1_nat_1(C,1)),k5_numbers) = k3_fib_num3(A,B,k1_nat_1(k5_numbers,C)) & k3_fib_num3(k3_fib_num3(A,B,C),k3_fib_num3(A,B,k1_nat_1(C,1)),1) = k3_fib_num3(A,B,k1_nat_1(1,C)) & ! [D] : ( v7_ordinal1(D) => ( ( k3_fib_num3(k3_fib_num3(A,B,C),k3_fib_num3(A,B,k1_nat_1(C,1)),D) = k3_fib_num3(A,B,k1_nat_1(D,C)) & k3_fib_num3(k3_fib_num3(A,B,C),k3_fib_num3(A,B,k1_nat_1(C,1)),k1_nat_1(D,1)) = k3_fib_num3(A,B,k1_nat_1(k1_nat_1(D,1),C)) ) => k3_fib_num3(k3_fib_num3(A,B,C),k3_fib_num3(A,B,k1_nat_1(C,1)),k1_nat_1(D,2)) = k3_fib_num3(A,B,k1_nat_1(k1_nat_1(D,2),C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_fib_num3(k3_fib_num3(A,B,C),k3_fib_num3(A,B,k1_nat_1(C,1)),D) = k3_fib_num3(A,B,k1_nat_1(D,C)) ) ) ) )).
fof(s1_fib_num__e4_54__fib_num2,axiom,( ( r1_xxreal_0(k1_pre_ff(k5_numbers),k1_pre_ff(k1_nat_1(k5_numbers,1))) & r1_xxreal_0(k1_pre_ff(1),k1_pre_ff(k1_nat_1(1,1))) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) & r1_xxreal_0(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1))) ) => r1_xxreal_0(k1_pre_ff(k1_nat_1(A,2)),k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(s1_fib_num__e4_55__fib_num3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( k3_fib_num3(k5_numbers,A,k5_numbers) = k2_nat_1(A,k1_pre_ff(k5_numbers)) & k3_fib_num3(k5_numbers,A,1) = k2_nat_1(A,k1_pre_ff(1)) & ! [B] : ( v7_ordinal1(B) => ( ( k3_fib_num3(k5_numbers,A,B) = k2_nat_1(A,k1_pre_ff(B)) & k3_fib_num3(k5_numbers,A,k1_nat_1(B,1)) = k2_nat_1(A,k1_pre_ff(k1_nat_1(B,1))) ) => k3_fib_num3(k5_numbers,A,k1_nat_1(B,2)) = k2_nat_1(A,k1_pre_ff(k1_nat_1(B,2))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k3_fib_num3(k5_numbers,A,B) = k2_nat_1(A,k1_pre_ff(B)) ) ) ) )).
fof(s1_fib_num__e5_34__fib_num2,axiom,( ( k1_pre_ff(k1_nat_1(k5_numbers,2)) = k1_nat_1(k1_pre_ff(k5_numbers),k1_pre_ff(k1_nat_1(k5_numbers,1))) & k1_pre_ff(k1_nat_1(1,2)) = k1_nat_1(k1_pre_ff(1),k1_pre_ff(k1_nat_1(1,1))) & ! [A] : ( v7_ordinal1(A) => ( ( k1_pre_ff(k1_nat_1(A,2)) = k1_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) & k1_pre_ff(k1_nat_1(k1_nat_1(A,1),2)) = k1_nat_1(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1))) ) => k1_pre_ff(k1_nat_1(k1_nat_1(A,2),2)) = k1_nat_1(k1_pre_ff(k1_nat_1(A,2)),k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A,2)) = k1_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(s1_fib_num__e5_48_2__fib_num3,axiom,( ( k1_nat_1(k1_fib_num3(k5_numbers),k1_pre_ff(k5_numbers)) = k3_fib_num3(k5_numbers,2,k1_nat_1(k5_numbers,1)) & k1_nat_1(k1_fib_num3(1),k1_pre_ff(1)) = k3_fib_num3(k5_numbers,2,k1_nat_1(1,1)) & ! [A] : ( v7_ordinal1(A) => ( ( k1_nat_1(k1_fib_num3(A),k1_pre_ff(A)) = k3_fib_num3(k5_numbers,2,k1_nat_1(A,1)) & k1_nat_1(k1_fib_num3(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(A,1))) = k3_fib_num3(k5_numbers,2,k1_nat_1(k1_nat_1(A,1),1)) ) => k1_nat_1(k1_fib_num3(k1_nat_1(A,2)),k1_pre_ff(k1_nat_1(A,2))) = k3_fib_num3(k5_numbers,2,k1_nat_1(k1_nat_1(A,2),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_nat_1(k1_fib_num3(A),k1_pre_ff(A)) = k3_fib_num3(k5_numbers,2,k1_nat_1(A,1)) ) )).
fof(s1_fib_num__e5_50__fib_num3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( k3_fib_num3(A,A,k5_numbers) = k3_xcmplx_0(k7_xcmplx_0(k3_fib_num3(A,A,k5_numbers),2),k1_nat_1(k1_pre_ff(k5_numbers),k1_fib_num3(k5_numbers))) & k3_fib_num3(A,A,1) = k3_xcmplx_0(k7_xcmplx_0(k3_fib_num3(A,A,k5_numbers),2),k1_nat_1(k1_pre_ff(1),k1_fib_num3(1))) & ! [B] : ( v7_ordinal1(B) => ( ( k3_fib_num3(A,A,B) = k3_xcmplx_0(k7_xcmplx_0(k3_fib_num3(A,A,k5_numbers),2),k1_nat_1(k1_pre_ff(B),k1_fib_num3(B))) & k3_fib_num3(A,A,k1_nat_1(B,1)) = k3_xcmplx_0(k7_xcmplx_0(k3_fib_num3(A,A,k5_numbers),2),k1_nat_1(k1_pre_ff(k1_nat_1(B,1)),k1_fib_num3(k1_nat_1(B,1)))) ) => k3_fib_num3(A,A,k1_nat_1(B,2)) = k3_xcmplx_0(k7_xcmplx_0(k3_fib_num3(A,A,k5_numbers),2),k1_nat_1(k1_pre_ff(k1_nat_1(B,2)),k1_fib_num3(k1_nat_1(B,2)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k3_fib_num3(A,A,B) = k3_xcmplx_0(k7_xcmplx_0(k3_fib_num3(A,A,k5_numbers),2),k1_nat_1(k1_pre_ff(B),k1_fib_num3(B))) ) ) ) )).
fof(s1_fib_num__e5_56__fib_num3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( k3_fib_num3(A,k5_numbers,k1_nat_1(k5_numbers,1)) = k2_nat_1(A,k1_pre_ff(k5_numbers)) & k3_fib_num3(A,k5_numbers,k1_nat_1(1,1)) = k2_nat_1(A,k1_pre_ff(1)) & ! [B] : ( v7_ordinal1(B) => ( ( k3_fib_num3(A,k5_numbers,k1_nat_1(B,1)) = k2_nat_1(A,k1_pre_ff(B)) & k3_fib_num3(A,k5_numbers,k1_nat_1(k1_nat_1(B,1),1)) = k2_nat_1(A,k1_pre_ff(k1_nat_1(B,1))) ) => k3_fib_num3(A,k5_numbers,k1_nat_1(k1_nat_1(B,2),1)) = k2_nat_1(A,k1_pre_ff(k1_nat_1(B,2))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k3_fib_num3(A,k5_numbers,k1_nat_1(B,1)) = k2_nat_1(A,k1_pre_ff(B)) ) ) ) )).
fof(s1_fib_num__e5_66__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k6_real_3(A),k5_numbers)) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k6_real_3(A),1)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k6_real_3(A),B)) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))) ) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,2))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k6_real_3(A),B)) ) ) ) )).
fof(s1_fib_num__e5_67__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(A),k5_numbers),k5_numbers) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(A),1),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(A),B),k5_numbers) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)),k5_numbers) ) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,2)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k6_real_3(A),B),k5_numbers) ) ) ) )).
fof(s1_fib_num__e5_6__fib_num,axiom,( ( r1_xxreal_0(k5_numbers,k1_pre_ff(k1_nat_1(k5_numbers,1))) & r1_xxreal_0(1,k1_pre_ff(k1_nat_1(1,1))) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(A,k1_pre_ff(k1_nat_1(A,1))) & r1_xxreal_0(k1_nat_1(A,1),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1))) ) => r1_xxreal_0(k1_nat_1(A,2),k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(s1_fib_num__e6_25__fib_num3,axiom,( ( k1_nat_1(k2_nat_1(2,k1_fib_num3(k5_numbers)),k1_fib_num3(k1_nat_1(k5_numbers,1))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(k5_numbers,1))) & k1_nat_1(k2_nat_1(2,k1_fib_num3(1)),k1_fib_num3(k1_nat_1(1,1))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(1,1))) & ! [A] : ( v7_ordinal1(A) => ( ( k1_nat_1(k2_nat_1(2,k1_fib_num3(A)),k1_fib_num3(k1_nat_1(A,1))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(A,1))) & k1_nat_1(k2_nat_1(2,k1_fib_num3(k1_nat_1(A,1))),k1_fib_num3(k1_nat_1(k1_nat_1(A,1),1))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1))) ) => k1_nat_1(k2_nat_1(2,k1_fib_num3(k1_nat_1(A,2))),k1_fib_num3(k1_nat_1(k1_nat_1(A,2),1))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_nat_1(k2_nat_1(2,k1_fib_num3(A)),k1_fib_num3(k1_nat_1(A,1))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(s1_fib_num__e6_27__fib_num3,axiom,( ( k1_nat_1(k1_fib_num3(k5_numbers),k1_pre_ff(k5_numbers)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(k5_numbers,1))) & k1_nat_1(k1_fib_num3(1),k1_pre_ff(1)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(1,1))) & ! [A] : ( v7_ordinal1(A) => ( ( k1_nat_1(k1_fib_num3(A),k1_pre_ff(A)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(A,1))) & k1_nat_1(k1_fib_num3(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(A,1))) = k2_nat_1(2,k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1))) ) => k1_nat_1(k1_fib_num3(k1_nat_1(A,2)),k1_pre_ff(k1_nat_1(A,2))) = k2_nat_1(2,k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_nat_1(k1_fib_num3(A),k1_pre_ff(A)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(s1_fib_num__e6_30__fib_num3,axiom,( ( k2_nat_1(k1_fib_num3(k1_nat_1(k5_numbers,3)),k1_fib_num3(k5_numbers)) = k6_xcmplx_0(k11_newton(k1_fib_num3(k1_nat_1(k5_numbers,2)),2),k11_newton(k1_fib_num3(k1_nat_1(k5_numbers,1)),2)) & k2_nat_1(k1_fib_num3(k1_nat_1(1,3)),k1_fib_num3(1)) = k6_xcmplx_0(k11_newton(k1_fib_num3(k1_nat_1(1,2)),2),k11_newton(k1_fib_num3(k1_nat_1(1,1)),2)) & ! [A] : ( v7_ordinal1(A) => ( ( k2_nat_1(k1_fib_num3(k1_nat_1(A,3)),k1_fib_num3(A)) = k6_xcmplx_0(k11_newton(k1_fib_num3(k1_nat_1(A,2)),2),k11_newton(k1_fib_num3(k1_nat_1(A,1)),2)) & k2_nat_1(k1_fib_num3(k1_nat_1(k1_nat_1(A,1),3)),k1_fib_num3(k1_nat_1(A,1))) = k6_xcmplx_0(k11_newton(k1_fib_num3(k1_nat_1(k1_nat_1(A,1),2)),2),k11_newton(k1_fib_num3(k1_nat_1(k1_nat_1(A,1),1)),2)) ) => k2_nat_1(k1_fib_num3(k1_nat_1(k1_nat_1(A,2),3)),k1_fib_num3(k1_nat_1(A,2))) = k6_xcmplx_0(k11_newton(k1_fib_num3(k1_nat_1(k1_nat_1(A,2),2)),2),k11_newton(k1_fib_num3(k1_nat_1(k1_nat_1(A,2),1)),2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k2_nat_1(k1_fib_num3(k1_nat_1(A,3)),k1_fib_num3(A)) = k6_xcmplx_0(k11_newton(k1_fib_num3(k1_nat_1(A,2)),2),k11_newton(k1_fib_num3(k1_nat_1(A,1)),2)) ) )).
fof(s1_fib_num__e6_48__fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k1_nat_1(k2_nat_1(k1_pre_ff(k5_numbers),k1_fib_num3(A)),k2_nat_1(k1_fib_num3(k5_numbers),k1_pre_ff(A))) = k3_fib_num3(k1_pre_ff(k5_numbers),k1_fib_num3(k5_numbers),k2_xcmplx_0(A,k5_numbers)) & k1_nat_1(k2_nat_1(k1_pre_ff(1),k1_fib_num3(A)),k2_nat_1(k1_fib_num3(1),k1_pre_ff(A))) = k3_fib_num3(k1_pre_ff(k5_numbers),k1_fib_num3(k5_numbers),k2_xcmplx_0(A,1)) & ! [B] : ( v7_ordinal1(B) => ( ( k1_nat_1(k2_nat_1(k1_pre_ff(B),k1_fib_num3(A)),k2_nat_1(k1_fib_num3(B),k1_pre_ff(A))) = k3_fib_num3(k1_pre_ff(k5_numbers),k1_fib_num3(k5_numbers),k2_xcmplx_0(A,B)) & k1_nat_1(k2_nat_1(k1_pre_ff(k1_nat_1(B,1)),k1_fib_num3(A)),k2_nat_1(k1_fib_num3(k1_nat_1(B,1)),k1_pre_ff(A))) = k3_fib_num3(k1_pre_ff(k5_numbers),k1_fib_num3(k5_numbers),k2_xcmplx_0(A,k1_nat_1(B,1))) ) => k1_nat_1(k2_nat_1(k1_pre_ff(k1_nat_1(B,2)),k1_fib_num3(A)),k2_nat_1(k1_fib_num3(k1_nat_1(B,2)),k1_pre_ff(A))) = k3_fib_num3(k1_pre_ff(k5_numbers),k1_fib_num3(k5_numbers),k2_xcmplx_0(A,k1_nat_1(B,2))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_nat_1(k2_nat_1(k1_pre_ff(B),k1_fib_num3(A)),k2_nat_1(k1_fib_num3(B),k1_pre_ff(A))) = k3_fib_num3(k1_pre_ff(k5_numbers),k1_fib_num3(k5_numbers),k2_xcmplx_0(A,B)) ) ) ) )).
fof(s1_fib_num__e6_51__fib_num3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ( k3_fib_num3(B,k1_nat_1(A,B),k5_numbers) = k3_fib_num3(A,B,k1_nat_1(k5_numbers,1)) & k3_fib_num3(B,k1_nat_1(A,B),1) = k3_fib_num3(A,B,k1_nat_1(1,1)) & ! [C] : ( v7_ordinal1(C) => ( ( k3_fib_num3(B,k1_nat_1(A,B),C) = k3_fib_num3(A,B,k1_nat_1(C,1)) & k3_fib_num3(B,k1_nat_1(A,B),k1_nat_1(C,1)) = k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,1),1)) ) => k3_fib_num3(B,k1_nat_1(A,B),k1_nat_1(C,2)) = k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,2),1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_fib_num3(B,k1_nat_1(A,B),C) = k3_fib_num3(A,B,k1_nat_1(C,1)) ) ) ) )).
fof(s1_fib_num__e6_54__fib_num3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ( k3_fib_num3(A,B,k1_nat_1(k5_numbers,1)) = k1_nat_1(k2_nat_1(A,k1_pre_ff(k5_numbers)),k2_nat_1(B,k1_pre_ff(k1_nat_1(k5_numbers,1)))) & k3_fib_num3(A,B,k1_nat_1(1,1)) = k1_nat_1(k2_nat_1(A,k1_pre_ff(1)),k2_nat_1(B,k1_pre_ff(k1_nat_1(1,1)))) & ! [C] : ( v7_ordinal1(C) => ( ( k3_fib_num3(A,B,k1_nat_1(C,1)) = k1_nat_1(k2_nat_1(A,k1_pre_ff(C)),k2_nat_1(B,k1_pre_ff(k1_nat_1(C,1)))) & k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,1),1)) = k1_nat_1(k2_nat_1(A,k1_pre_ff(k1_nat_1(C,1))),k2_nat_1(B,k1_pre_ff(k1_nat_1(k1_nat_1(C,1),1)))) ) => k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,2),1)) = k1_nat_1(k2_nat_1(A,k1_pre_ff(k1_nat_1(C,2))),k2_nat_1(B,k1_pre_ff(k1_nat_1(k1_nat_1(C,2),1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_fib_num3(A,B,k1_nat_1(C,1)) = k1_nat_1(k2_nat_1(A,k1_pre_ff(C)),k2_nat_1(B,k1_pre_ff(k1_nat_1(C,1)))) ) ) ) )).
fof(s1_fib_num__e6_57__fib_num3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ( k1_nat_1(k3_fib_num3(A,B,k5_numbers),k3_fib_num3(C,D,k5_numbers)) = k3_fib_num3(k1_nat_1(A,C),k1_nat_1(B,D),k5_numbers) & k1_nat_1(k3_fib_num3(A,B,1),k3_fib_num3(C,D,1)) = k3_fib_num3(k1_nat_1(A,C),k1_nat_1(B,D),1) & ! [E] : ( v7_ordinal1(E) => ( ( k1_nat_1(k3_fib_num3(A,B,E),k3_fib_num3(C,D,E)) = k3_fib_num3(k1_nat_1(A,C),k1_nat_1(B,D),E) & k1_nat_1(k3_fib_num3(A,B,k1_nat_1(E,1)),k3_fib_num3(C,D,k1_nat_1(E,1))) = k3_fib_num3(k1_nat_1(A,C),k1_nat_1(B,D),k1_nat_1(E,1)) ) => k1_nat_1(k3_fib_num3(A,B,k1_nat_1(E,2)),k3_fib_num3(C,D,k1_nat_1(E,2))) = k3_fib_num3(k1_nat_1(A,C),k1_nat_1(B,D),k1_nat_1(E,2)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k1_nat_1(k3_fib_num3(A,B,E),k3_fib_num3(C,D,E)) = k3_fib_num3(k1_nat_1(A,C),k1_nat_1(B,D),E) ) ) ) )).
fof(s1_fib_num__e6_58__fib_num3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( ( k3_fib_num3(k2_nat_1(C,A),k2_nat_1(C,B),k5_numbers) = k2_nat_1(C,k3_fib_num3(A,B,k5_numbers)) & k3_fib_num3(k2_nat_1(C,A),k2_nat_1(C,B),1) = k2_nat_1(C,k3_fib_num3(A,B,1)) & ! [D] : ( v7_ordinal1(D) => ( ( k3_fib_num3(k2_nat_1(C,A),k2_nat_1(C,B),D) = k2_nat_1(C,k3_fib_num3(A,B,D)) & k3_fib_num3(k2_nat_1(C,A),k2_nat_1(C,B),k1_nat_1(D,1)) = k2_nat_1(C,k3_fib_num3(A,B,k1_nat_1(D,1))) ) => k3_fib_num3(k2_nat_1(C,A),k2_nat_1(C,B),k1_nat_1(D,2)) = k2_nat_1(C,k3_fib_num3(A,B,k1_nat_1(D,2))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_fib_num3(k2_nat_1(C,A),k2_nat_1(C,B),D) = k2_nat_1(C,k3_fib_num3(A,B,D)) ) ) ) )).
fof(s1_fib_num__e6_59__fib_num3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ( k3_fib_num3(A,B,k5_numbers) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k4_xcmplx_0(k2_fib_num)),B),k2_power(k1_fib_num,k5_numbers)),k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,k1_fib_num),B),k2_power(k2_fib_num,k5_numbers))),k3_square_1(5)) & k3_fib_num3(A,B,1) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k4_xcmplx_0(k2_fib_num)),B),k2_power(k1_fib_num,1)),k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,k1_fib_num),B),k2_power(k2_fib_num,1))),k3_square_1(5)) & ! [C] : ( v7_ordinal1(C) => ( ( k3_fib_num3(A,B,C) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k4_xcmplx_0(k2_fib_num)),B),k2_power(k1_fib_num,C)),k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,k1_fib_num),B),k2_power(k2_fib_num,C))),k3_square_1(5)) & k3_fib_num3(A,B,k1_nat_1(C,1)) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k4_xcmplx_0(k2_fib_num)),B),k2_power(k1_fib_num,k1_nat_1(C,1))),k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,k1_fib_num),B),k2_power(k2_fib_num,k1_nat_1(C,1)))),k3_square_1(5)) ) => k3_fib_num3(A,B,k1_nat_1(C,2)) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k4_xcmplx_0(k2_fib_num)),B),k2_power(k1_fib_num,k1_nat_1(C,2))),k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,k1_fib_num),B),k2_power(k2_fib_num,k1_nat_1(C,2)))),k3_square_1(5)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_fib_num3(A,B,C) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k4_xcmplx_0(k2_fib_num)),B),k2_power(k1_fib_num,C)),k3_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,k1_fib_num),B),k2_power(k2_fib_num,C))),k3_square_1(5)) ) ) ) )).
fof(s1_fib_num__e6_59__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r2_tarski(k8_nat_1(k1_numbers,k5_real_3(A),k5_numbers),k4_ordinal1) & r2_tarski(k8_nat_1(k1_numbers,k5_real_3(A),1),k4_ordinal1) & ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(k8_nat_1(k1_numbers,k5_real_3(A),B),k4_ordinal1) & r2_tarski(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k4_ordinal1) ) => r2_tarski(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,2)),k4_ordinal1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k8_nat_1(k1_numbers,k5_real_3(A),B),k4_ordinal1) ) ) ) )).
fof(s1_fib_num__e6_60__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(A),k5_numbers),k5_numbers) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(A),1),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(A),B),k5_numbers) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k5_numbers) ) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,2)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k5_real_3(A),B),k5_numbers) ) ) ) )).
fof(s1_fib_num__e6_65__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r2_tarski(k8_nat_1(k1_numbers,k6_real_3(A),k5_numbers),k4_ordinal1) & r2_tarski(k8_nat_1(k1_numbers,k6_real_3(A),1),k4_ordinal1) & ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(k8_nat_1(k1_numbers,k6_real_3(A),B),k4_ordinal1) & r2_tarski(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)),k4_ordinal1) ) => r2_tarski(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,2)),k4_ordinal1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k8_nat_1(k1_numbers,k6_real_3(A),B),k4_ordinal1) ) ) ) )).
fof(s1_fib_num__e7_10__fib_num3,axiom,( ( k2_xcmplx_0(k2_power(k1_fib_num,k5_numbers),k2_power(k1_fib_num,k1_nat_1(k5_numbers,1))) = k2_power(k1_fib_num,k1_nat_1(k5_numbers,2)) & k2_xcmplx_0(k2_power(k1_fib_num,1),k2_power(k1_fib_num,k1_nat_1(1,1))) = k2_power(k1_fib_num,k1_nat_1(1,2)) & ! [A] : ( v7_ordinal1(A) => ( ( k2_xcmplx_0(k2_power(k1_fib_num,A),k2_power(k1_fib_num,k1_nat_1(A,1))) = k2_power(k1_fib_num,k1_nat_1(A,2)) & k2_xcmplx_0(k2_power(k1_fib_num,k1_nat_1(A,1)),k2_power(k1_fib_num,k1_nat_1(k1_nat_1(A,1),1))) = k2_power(k1_fib_num,k1_nat_1(k1_nat_1(A,1),2)) ) => k2_xcmplx_0(k2_power(k1_fib_num,k1_nat_1(A,2)),k2_power(k1_fib_num,k1_nat_1(k1_nat_1(A,2),1))) = k2_power(k1_fib_num,k1_nat_1(k1_nat_1(A,2),2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k2_xcmplx_0(k2_power(k1_fib_num,A),k2_power(k1_fib_num,k1_nat_1(A,1))) = k2_power(k1_fib_num,k1_nat_1(A,2)) ) )).
fof(s1_fib_num__e7_11__fib_num3,axiom,( ( k2_xcmplx_0(k2_power(k2_fib_num,k5_numbers),k2_power(k2_fib_num,k1_nat_1(k5_numbers,1))) = k2_power(k2_fib_num,k1_nat_1(k5_numbers,2)) & k2_xcmplx_0(k2_power(k2_fib_num,1),k2_power(k2_fib_num,k1_nat_1(1,1))) = k2_power(k2_fib_num,k1_nat_1(1,2)) & ! [A] : ( v7_ordinal1(A) => ( ( k2_xcmplx_0(k2_power(k2_fib_num,A),k2_power(k2_fib_num,k1_nat_1(A,1))) = k2_power(k2_fib_num,k1_nat_1(A,2)) & k2_xcmplx_0(k2_power(k2_fib_num,k1_nat_1(A,1)),k2_power(k2_fib_num,k1_nat_1(k1_nat_1(A,1),1))) = k2_power(k2_fib_num,k1_nat_1(k1_nat_1(A,1),2)) ) => k2_xcmplx_0(k2_power(k2_fib_num,k1_nat_1(A,2)),k2_power(k2_fib_num,k1_nat_1(k1_nat_1(A,2),1))) = k2_power(k2_fib_num,k1_nat_1(k1_nat_1(A,2),2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k2_xcmplx_0(k2_power(k2_fib_num,A),k2_power(k2_fib_num,k1_nat_1(A,1))) = k2_power(k2_fib_num,k1_nat_1(A,2)) ) )).
fof(s1_fib_num__e7_23__fib_num3,axiom,( ( k1_fib_num3(k1_nat_1(k5_numbers,1)) = k1_nat_1(k1_pre_ff(k5_numbers),k1_pre_ff(k1_nat_1(k5_numbers,2))) & k1_fib_num3(k1_nat_1(1,1)) = k1_nat_1(k1_pre_ff(1),k1_pre_ff(k1_nat_1(1,2))) & ! [A] : ( v7_ordinal1(A) => ( ( k1_fib_num3(k1_nat_1(A,1)) = k1_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,2))) & k1_fib_num3(k1_nat_1(k1_nat_1(A,1),1)) = k1_nat_1(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),2))) ) => k1_fib_num3(k1_nat_1(k1_nat_1(A,2),1)) = k1_nat_1(k1_pre_ff(k1_nat_1(A,2)),k1_pre_ff(k1_nat_1(k1_nat_1(A,2),2))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_fib_num3(k1_nat_1(A,1)) = k1_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,2))) ) )).
fof(s1_fib_num__e7_24__fib_num3,axiom,( ( k1_fib_num3(k5_numbers) = k2_xcmplx_0(k2_power(k1_fib_num,k5_numbers),k2_power(k2_fib_num,k5_numbers)) & k1_fib_num3(1) = k2_xcmplx_0(k2_power(k1_fib_num,1),k2_power(k2_fib_num,1)) & ! [A] : ( v7_ordinal1(A) => ( ( k1_fib_num3(A) = k2_xcmplx_0(k2_power(k1_fib_num,A),k2_power(k2_fib_num,A)) & k1_fib_num3(k1_nat_1(A,1)) = k2_xcmplx_0(k2_power(k1_fib_num,k1_nat_1(A,1)),k2_power(k2_fib_num,k1_nat_1(A,1))) ) => k1_fib_num3(k1_nat_1(A,2)) = k2_xcmplx_0(k2_power(k1_fib_num,k1_nat_1(A,2)),k2_power(k2_fib_num,k1_nat_1(A,2))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_fib_num3(A) = k2_xcmplx_0(k2_power(k1_fib_num,A),k2_power(k2_fib_num,A)) ) )).
fof(s1_fib_num__e8_28__fib_num3,axiom,( ( k1_nat_1(k2_nat_1(3,k1_pre_ff(k5_numbers)),k1_fib_num3(k5_numbers)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(k5_numbers,2))) & k1_nat_1(k2_nat_1(3,k1_pre_ff(1)),k1_fib_num3(1)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(1,2))) & ! [A] : ( v7_ordinal1(A) => ( ( k1_nat_1(k2_nat_1(3,k1_pre_ff(A)),k1_fib_num3(A)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(A,2))) & k1_nat_1(k2_nat_1(3,k1_pre_ff(k1_nat_1(A,1))),k1_fib_num3(k1_nat_1(A,1))) = k2_nat_1(2,k1_pre_ff(k1_nat_1(k1_nat_1(A,1),2))) ) => k1_nat_1(k2_nat_1(3,k1_pre_ff(k1_nat_1(A,2))),k1_fib_num3(k1_nat_1(A,2))) = k2_nat_1(2,k1_pre_ff(k1_nat_1(k1_nat_1(A,2),2))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_nat_1(k2_nat_1(3,k1_pre_ff(A)),k1_fib_num3(A)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(A,2))) ) )).
fof(s1_fib_num__e8_32__fib_num3,axiom,( ( k2_nat_1(2,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k5_numbers),1))) = k1_nat_1(k2_nat_1(k1_fib_num3(k1_nat_1(k5_numbers,1)),k1_pre_ff(k5_numbers)),k2_nat_1(k1_fib_num3(k5_numbers),k1_pre_ff(k1_nat_1(k5_numbers,1)))) & k2_nat_1(2,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,1),1))) = k1_nat_1(k2_nat_1(k1_fib_num3(k1_nat_1(1,1)),k1_pre_ff(1)),k2_nat_1(k1_fib_num3(1),k1_pre_ff(k1_nat_1(1,1)))) & ! [A] : ( v7_ordinal1(A) => ( ( k2_nat_1(2,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),1))) = k1_nat_1(k2_nat_1(k1_fib_num3(k1_nat_1(A,1)),k1_pre_ff(A)),k2_nat_1(k1_fib_num3(A),k1_pre_ff(k1_nat_1(A,1)))) & k2_nat_1(2,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),1))) = k1_nat_1(k2_nat_1(k1_fib_num3(k1_nat_1(k1_nat_1(A,1),1)),k1_pre_ff(k1_nat_1(A,1))),k2_nat_1(k1_fib_num3(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1)))) ) => k2_nat_1(2,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,2)),1))) = k1_nat_1(k2_nat_1(k1_fib_num3(k1_nat_1(k1_nat_1(A,2),1)),k1_pre_ff(k1_nat_1(A,2))),k2_nat_1(k1_fib_num3(k1_nat_1(A,2)),k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1)))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k2_nat_1(2,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),1))) = k1_nat_1(k2_nat_1(k1_fib_num3(k1_nat_1(A,1)),k1_pre_ff(A)),k2_nat_1(k1_fib_num3(A),k1_pre_ff(k1_nat_1(A,1)))) ) )).
fof(s1_fib_num__e8_52__fib_num3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ( k6_xcmplx_0(k2_nat_1(k3_fib_num3(A,B,k1_nat_1(k5_numbers,2)),k3_fib_num3(A,B,k5_numbers)),k11_newton(k3_fib_num3(A,B,k1_nat_1(k5_numbers,1)),2)) = k3_xcmplx_0(k2_power(k4_xcmplx_0(1),k5_numbers),k6_xcmplx_0(k11_newton(k3_fib_num3(A,B,2),2),k2_nat_1(k3_fib_num3(A,B,1),k3_fib_num3(A,B,3)))) & k6_xcmplx_0(k2_nat_1(k3_fib_num3(A,B,k1_nat_1(1,2)),k3_fib_num3(A,B,1)),k11_newton(k3_fib_num3(A,B,k1_nat_1(1,1)),2)) = k3_xcmplx_0(k2_power(k4_xcmplx_0(1),1),k6_xcmplx_0(k11_newton(k3_fib_num3(A,B,2),2),k2_nat_1(k3_fib_num3(A,B,1),k3_fib_num3(A,B,3)))) & ! [C] : ( v7_ordinal1(C) => ( ( k6_xcmplx_0(k2_nat_1(k3_fib_num3(A,B,k1_nat_1(C,2)),k3_fib_num3(A,B,C)),k11_newton(k3_fib_num3(A,B,k1_nat_1(C,1)),2)) = k3_xcmplx_0(k2_power(k4_xcmplx_0(1),C),k6_xcmplx_0(k11_newton(k3_fib_num3(A,B,2),2),k2_nat_1(k3_fib_num3(A,B,1),k3_fib_num3(A,B,3)))) & k6_xcmplx_0(k2_nat_1(k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,1),2)),k3_fib_num3(A,B,k1_nat_1(C,1))),k11_newton(k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,1),1)),2)) = k3_xcmplx_0(k2_power(k4_xcmplx_0(1),k1_nat_1(C,1)),k6_xcmplx_0(k11_newton(k3_fib_num3(A,B,2),2),k2_nat_1(k3_fib_num3(A,B,1),k3_fib_num3(A,B,3)))) ) => k6_xcmplx_0(k2_nat_1(k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,2),2)),k3_fib_num3(A,B,k1_nat_1(C,2))),k11_newton(k3_fib_num3(A,B,k1_nat_1(k1_nat_1(C,2),1)),2)) = k3_xcmplx_0(k2_power(k4_xcmplx_0(1),k1_nat_1(C,2)),k6_xcmplx_0(k11_newton(k3_fib_num3(A,B,2),2),k2_nat_1(k3_fib_num3(A,B,1),k3_fib_num3(A,B,3)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_xcmplx_0(k2_nat_1(k3_fib_num3(A,B,k1_nat_1(C,2)),k3_fib_num3(A,B,C)),k11_newton(k3_fib_num3(A,B,k1_nat_1(C,1)),2)) = k3_xcmplx_0(k2_power(k4_xcmplx_0(1),C),k6_xcmplx_0(k11_newton(k3_fib_num3(A,B,2),2),k2_nat_1(k3_fib_num3(A,B,1),k3_fib_num3(A,B,3)))) ) ) ) )).
fof(s1_fib_num__e9_21__fib_num,axiom,( ( k1_pre_ff(k5_numbers) = k7_xcmplx_0(k6_xcmplx_0(k2_power(k1_fib_num,k5_numbers),k2_power(k2_fib_num,k5_numbers)),k3_square_1(5)) & k1_pre_ff(1) = k7_xcmplx_0(k6_xcmplx_0(k2_power(k1_fib_num,1),k2_power(k2_fib_num,1)),k3_square_1(5)) & ! [A] : ( v7_ordinal1(A) => ( ( k1_pre_ff(A) = k7_xcmplx_0(k6_xcmplx_0(k2_power(k1_fib_num,A),k2_power(k2_fib_num,A)),k3_square_1(5)) & k1_pre_ff(k1_nat_1(A,1)) = k7_xcmplx_0(k6_xcmplx_0(k2_power(k1_fib_num,k1_nat_1(A,1)),k2_power(k2_fib_num,k1_nat_1(A,1))),k3_square_1(5)) ) => k1_pre_ff(k1_nat_1(A,2)) = k7_xcmplx_0(k6_xcmplx_0(k2_power(k1_fib_num,k1_nat_1(A,2)),k2_power(k2_fib_num,k1_nat_1(A,2))),k3_square_1(5)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_pre_ff(A) = k7_xcmplx_0(k6_xcmplx_0(k2_power(k1_fib_num,A),k2_power(k2_fib_num,A)),k3_square_1(5)) ) )).
fof(s1_filter_1__e3_14__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) & m2_filter_1(D,A,B) ) => ( ! [E] : ( m1_subset_1(E,A) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k9_eqrel_1(A,B,C),k9_eqrel_1(A,B,E)) = k9_eqrel_1(A,B,E) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k9_eqrel_1(A,B,C),E) = E ) ) ) )).
fof(s1_filter_1__e3_15__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) & m2_filter_1(D,A,B) ) => ( ! [E] : ( m1_subset_1(E,A) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,C)) = k9_eqrel_1(A,B,E) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),E,k9_eqrel_1(A,B,C)) = E ) ) ) )).
fof(s1_fin_topo__e6_33_1__fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( v1_finset_1(B) & r1_tarski(k6_domain_1(u1_struct_0(A),C),B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(D,B) => ( r1_tarski(D,k9_subset_1(u1_struct_0(A),k9_fin_topo(A,D),B)) & r1_tarski(k9_subset_1(u1_struct_0(A),k9_fin_topo(A,D),B),B) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k9_setfam_1(u1_struct_0(A))) & ~ r1_xxreal_0(k3_finseq_1(D),k5_numbers) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,1) = k6_domain_1(u1_struct_0(A),C) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(k3_finseq_1(D),E) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,k1_nat_1(E,1)) != k9_subset_1(u1_struct_0(A),k9_fin_topo(A,k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,E)),B) ) ) & k9_subset_1(u1_struct_0(A),k9_fin_topo(A,k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,k3_finseq_1(D))),B) = k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,k3_finseq_1(D)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k3_finseq_1(D)) => ( r1_xxreal_0(E,k5_numbers) | r1_xxreal_0(F,E) | ( r1_tarski(k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,E),B) & r2_xboole_0(k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,E),k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,F)) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e10_133_3__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & m1_subset_1(D,u4_struct_0(A)) & m1_msaterm(E,A,B,k2_msaterm(A,B,D)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(E))) & ! [G] : ~ ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( H = k1_funct_1(E,F) => G = k6_msafree4(A,B,C,H) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(E))) => ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( I = k1_funct_1(E,G) => k1_funct_1(F,G) = k6_msafree4(A,B,C,I) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e10_45__jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k7_nat_d(k2_nat_1(2,k3_finseq_1(A)),1))) & ! [C] : ~ ! [D] : ( v7_ordinal1(D) => ( ( B = k3_xcmplx_0(2,D) | B = k7_nat_d(k3_xcmplx_0(2,D),1) ) => ( ( B = k3_xcmplx_0(2,D) => C = k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,D)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)))) ) & ( B = k7_nat_d(k3_xcmplx_0(2,D),1) => C = k7_partfun1(u1_struct_0(k15_euclid(2)),A,D) ) ) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k4_finseq_1(B) = k2_finseq_1(k7_nat_d(k2_nat_1(2,k3_finseq_1(A)),1)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k7_nat_d(k2_nat_1(2,k3_finseq_1(A)),1))) => ! [E] : ( v7_ordinal1(E) => ( ( C = k3_xcmplx_0(2,E) | C = k7_nat_d(k3_xcmplx_0(2,E),1) ) => ( ( C = k3_xcmplx_0(2,E) => k1_funct_1(B,C) = k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,E)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)))) ) & ( C = k7_nat_d(k3_xcmplx_0(2,E),1) => k1_funct_1(B,C) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e12_131_2__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & m1_subset_1(D,u4_struct_0(A)) & m1_msaterm(E,A,B,k2_msaterm(A,B,D)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(E))) & ! [G] : ~ ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( H = k1_funct_1(E,F) => G = k6_msafree4(A,B,C,H) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(E))) => ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( I = k1_funct_1(E,G) => k1_funct_1(F,G) = k6_msafree4(A,B,C,I) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e12_54_1_2__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(4)) & ! [G] : ~ ( ( F = 1 => G = B ) & ( F = 2 => G = D ) & ( F = 3 => G = E ) & ( F = 4 => G = C ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(4) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(4)) => ( ( G = 1 => k1_funct_1(F,G) = B ) & ( G = 2 => k1_funct_1(F,G) = D ) & ( G = 3 => k1_funct_1(F,G) = E ) & ( G = 4 => k1_funct_1(F,G) = C ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e12_83_1_2__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(5)) & ! [H] : ~ ( ( G = 1 => H = B ) & ( G = 2 => H = D ) & ( G = 3 => H = E ) & ( G = 4 => H = F ) & ( G = 5 => H = C ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k4_finseq_1(G) = k2_finseq_1(5) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(5)) => ( ( H = 1 => k1_funct_1(G,H) = B ) & ( H = 2 => k1_funct_1(G,H) = D ) & ( H = 3 => k1_funct_1(G,H) = E ) & ( H = 4 => k1_funct_1(G,H) = F ) & ( H = 5 => k1_funct_1(G,H) = C ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e13_61_1_1_2__uniroots,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k13_polynom3(k1_complfld))) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ~ ? [D] : ( m2_finseq_1(D,u1_struct_0(k13_polynom3(k1_complfld))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(E,k1_complfld) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & D = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(B)) & E = k3_group_4(k13_polynom3(k1_complfld),D) & C = E & ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),E,k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),E,k5_numbers) = k4_xcmplx_0(1) ) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),E,F)) ) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => ? [G] : ( m2_finseq_1(G,u1_struct_0(k13_polynom3(k1_complfld))) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(H,k1_complfld) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & G = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(C)) & H = k3_group_4(k13_polynom3(k1_complfld),G) & k1_funct_1(B,C) = H & ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),H,k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),H,k5_numbers) = k4_xcmplx_0(1) ) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),H,I)) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e14_33_1_2__group_4,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ~ ? [D] : ( v1_int_1(D) & D = k1_funct_1(A,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1)) & C = k4_xcmplx_0(D) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => ? [E] : ( v1_int_1(E) & E = k1_funct_1(A,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),C),1)) & k1_funct_1(B,C) = k4_xcmplx_0(E) ) ) ) ) ) ) )).
fof(s1_finseq_1__e16_85_1_3__group_9,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ~ ? [D] : ( v1_int_1(D) & D = k1_funct_1(A,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),B),1)) & C = k4_xcmplx_0(D) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => ? [E] : ( v1_int_1(E) & E = k1_funct_1(A,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(A),C),1)) & k1_funct_1(B,C) = k4_xcmplx_0(E) ) ) ) ) ) ) )).
fof(s1_finseq_1__e18_23__vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v2_vectsp_7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m2_finseq_1(D,u1_struct_0(B)) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ~ ? [G] : ( m2_vectsp_6(G,A,B,C) & F = k1_vectsp_6(A,B,G) & k4_vectsp_6(A,B,G) = k1_funct_1(D,E) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ? [H] : ( m2_vectsp_6(H,A,B,C) & k1_funct_1(E,F) = k1_vectsp_6(A,B,H) & k4_vectsp_6(A,B,H) = k1_funct_1(D,F) ) ) ) ) ) ) )).
fof(s1_finseq_1__e18_26__rlvect_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_3(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ~ ? [F] : ( m2_rlvect_2(F,A,B) & E = k3_rlvect_2(A,F) & k6_rlvect_2(A,F) = k1_funct_1(C,D) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [G] : ( m2_rlvect_2(G,A,B) & k1_funct_1(D,E) = k3_rlvect_2(A,G) & k6_rlvect_2(A,G) = k1_funct_1(C,E) ) ) ) ) ) ) )).
fof(s1_finseq_1__e18_6__rusub_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_3(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ~ ? [F] : ( m2_rlvect_2(F,A,B) & E = k3_rlvect_2(A,F) & k6_rlvect_2(A,F) = k1_funct_1(C,D) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [G] : ( m2_rlvect_2(G,A,B) & k1_funct_1(D,E) = k3_rlvect_2(A,G) & k6_rlvect_2(A,G) = k1_funct_1(C,E) ) ) ) ) ) ) )).
fof(s1_finseq_1__e21_62_1__rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : F != k1_funct_1(B,k2_xcmplx_0(C,E)) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k4_finseq_1(E) = k2_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => k1_funct_1(E,F) = k1_funct_1(B,k2_xcmplx_0(C,F)) ) ) ) ) ) )).
fof(s1_finseq_1__e22_82_1__finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(C)) & ! [E] : E != k1_funct_1(A,k2_xcmplx_0(B,D)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k4_finseq_1(D) = k2_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(C)) => k1_funct_1(D,E) = k1_funct_1(A,k2_xcmplx_0(B,E)) ) ) ) ) ) )).
fof(s1_finseq_1__e23_20__uniform1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(B)) & ! [D] : D != k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k3_xxreal_0(A,k7_xcmplx_0(1,2)),2),k6_xcmplx_0(C,1))) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k4_finseq_1(C) = k2_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(B)) => k1_funct_1(C,D) = k6_xcmplx_0(1,k3_xcmplx_0(k7_xcmplx_0(k3_xxreal_0(A,k7_xcmplx_0(1,2)),2),k6_xcmplx_0(D,1))) ) ) ) ) ) )).
fof(s1_finseq_1__e24_15_1_1__finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : F != k1_funct_1(B,k2_xcmplx_0(C,E)) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k4_finseq_1(E) = k2_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => k1_funct_1(E,F) = k1_funct_1(B,k2_xcmplx_0(C,F)) ) ) ) ) ) )).
fof(s1_finseq_1__e24_6_1__rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : F != k1_funct_1(B,k2_xcmplx_0(C,E)) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k4_finseq_1(E) = k2_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => k1_funct_1(E,F) = k1_funct_1(B,k2_xcmplx_0(C,F)) ) ) ) ) ) )).
fof(s1_finseq_1__e26_17_1_2__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)))) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D)))) & ! [H] : ~ ? [I] : ( m2_finseq_1(I,u1_struct_0(A)) & k4_finseq_1(I) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E))) & H = k4_rlvect_1(A,I) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => k1_funct_1(I,J) = k1_binop_1(F,G,J) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D)))) => ? [K] : ( m2_finseq_1(K,u1_struct_0(A)) & k4_finseq_1(K) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E))) & k1_funct_1(G,H) = k4_rlvect_1(A,K) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(K)) => k1_funct_1(K,L) = k1_binop_1(F,H,L) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e26_5__jgraph_8,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(B)) & ! [D] : D != k3_xcmplx_0(k7_xcmplx_0(k3_xxreal_0(A,k7_xcmplx_0(1,2)),2),k6_xcmplx_0(C,1)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k4_finseq_1(C) = k2_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(B)) => k1_funct_1(C,D) = k3_xcmplx_0(k7_xcmplx_0(k3_xxreal_0(A,k7_xcmplx_0(1,2)),2),k6_xcmplx_0(D,1)) ) ) ) ) ) )).
fof(s1_finseq_1__e29_19__uniform1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(B)) & ! [D] : D != k3_xcmplx_0(k7_xcmplx_0(k3_xxreal_0(A,k7_xcmplx_0(1,2)),2),k6_xcmplx_0(C,1)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k4_finseq_1(C) = k2_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(B)) => k1_funct_1(C,D) = k3_xcmplx_0(k7_xcmplx_0(k3_xxreal_0(A,k7_xcmplx_0(1,2)),2),k6_xcmplx_0(D,1)) ) ) ) ) ) )).
fof(s1_finseq_1__e2_83_3__trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k1_nat_1(B,1))) & ! [D] : ~ ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & F = k1_nat_1(E,1) & C = F & k2_trees_2(A,E) = D ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k4_finseq_1(C) = k2_finseq_1(k1_nat_1(B,1)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k1_nat_1(B,1))) => ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & H = k1_nat_1(G,1) & D = H & k2_trees_2(A,G) = k1_funct_1(C,D) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e33_15_1_1__finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & m2_finseq_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & v3_funct_2(D,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)))) & m2_finseq_1(E,A) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(B)) & ! [G] : ~ ( ( r2_tarski(k1_funct_1(D,F),k1_relset_1(k4_ordinal1,E)) => G = k1_funct_1(D,F) ) & ( ~ r2_tarski(k1_funct_1(D,F),k1_relset_1(k4_ordinal1,E)) => ! [H] : ( v7_ordinal1(H) => ( H = k1_funct_1(D,F) => G = k6_xcmplx_0(H,1) ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(B) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(B)) => ( ( r2_tarski(k1_funct_1(D,G),k1_relset_1(k4_ordinal1,E)) => k1_funct_1(F,G) = k1_funct_1(D,G) ) & ( ~ r2_tarski(k1_funct_1(D,G),k1_relset_1(k4_ordinal1,E)) => ! [I] : ( v7_ordinal1(I) => ( I = k1_funct_1(D,G) => k1_funct_1(F,G) = k6_xcmplx_0(I,1) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e33_6_1__rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & v3_funct_2(D,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)))) & m2_finseq_1(E,u1_struct_0(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(B)) & ! [G] : ~ ( ( r2_tarski(k1_funct_1(D,F),k1_relset_1(k4_ordinal1,E)) => G = k1_funct_1(D,F) ) & ( ~ r2_tarski(k1_funct_1(D,F),k1_relset_1(k4_ordinal1,E)) => ! [H] : ( v7_ordinal1(H) => ( H = k1_funct_1(D,F) => G = k6_xcmplx_0(H,1) ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(B) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(B)) => ( ( r2_tarski(k1_funct_1(D,G),k1_relset_1(k4_ordinal1,E)) => k1_funct_1(F,G) = k1_funct_1(D,G) ) & ( ~ r2_tarski(k1_funct_1(D,G),k1_relset_1(k4_ordinal1,E)) => ! [I] : ( v7_ordinal1(I) => ( I = k1_funct_1(D,G) => k1_funct_1(F,G) = k6_xcmplx_0(I,1) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e34_17_1_2__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)))) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))) & ! [H] : ~ ? [I] : ( m2_finseq_1(I,u1_struct_0(A)) & k4_finseq_1(I) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))) & H = k4_rlvect_1(A,I) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => k1_funct_1(I,J) = k1_binop_1(F,J,G) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))) => ? [K] : ( m2_finseq_1(K,u1_struct_0(A)) & k4_finseq_1(K) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))) & k1_funct_1(G,H) = k4_rlvect_1(A,K) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(K)) => k1_funct_1(K,L) = k1_binop_1(F,L,H) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e35_53__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(4)) & ! [G] : ~ ( ( F = 1 => G = B ) & ( F = 2 => G = D ) & ( F = 3 => G = E ) & ( F = 4 => G = C ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(4) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(4)) => ( ( G = 1 => k1_funct_1(F,G) = B ) & ( G = 2 => k1_funct_1(F,G) = D ) & ( G = 3 => k1_funct_1(F,G) = E ) & ( G = 4 => k1_funct_1(F,G) = C ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e36_44_1__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) & m2_finseq_1(E,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B)))) & ! [G] : ~ ( ( F = 1 => G = k5_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)),D) ) & ( F != 1 => G = k3_tarski(k6_subset_1(k1_funct_1(E,F),k1_funct_1(E,k6_xcmplx_0(F,1)))) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B)))) => ( ( G = 1 => k1_funct_1(F,G) = k5_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)),D) ) & ( G != 1 => k1_funct_1(F,G) = k3_tarski(k6_subset_1(k1_funct_1(E,G),k1_funct_1(E,k6_xcmplx_0(G,1)))) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e38_82__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(5)) & ! [H] : ~ ( ( G = 1 => H = B ) & ( G = 2 => H = D ) & ( G = 3 => H = E ) & ( G = 4 => H = F ) & ( G = 5 => H = C ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k4_finseq_1(G) = k2_finseq_1(5) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(5)) => ( ( H = 1 => k1_funct_1(G,H) = B ) & ( H = 2 => k1_funct_1(G,H) = D ) & ( H = 3 => k1_funct_1(G,H) = E ) & ( H = 4 => k1_funct_1(G,H) = F ) & ( H = 5 => k1_funct_1(G,H) = C ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e3_11_1_1_1__graph_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & v7_graph_1(B,A) & m2_graph_1(B,A) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k1_nat_1(k3_finseq_1(B),1))) & ! [D] : ~ ( ( C = k1_nat_1(k3_finseq_1(B),1) => D = k1_funct_1(u2_graph_1(A),k1_funct_1(B,k3_finseq_1(B))) ) & ( C != k1_nat_1(k3_finseq_1(B),1) => D = k1_funct_1(u1_graph_1(A),k1_funct_1(B,C)) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k4_finseq_1(C) = k2_finseq_1(k1_nat_1(k3_finseq_1(B),1)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k1_nat_1(k3_finseq_1(B),1))) => ( ( D = k1_nat_1(k3_finseq_1(B),1) => k1_funct_1(C,D) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,k3_finseq_1(B))) ) & ( D != k1_nat_1(k3_finseq_1(B),1) => k1_funct_1(C,D) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e3_41_1__prvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k14_prvect_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k14_prvect_2(A))))) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(B)) & ! [E] : ~ ? [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(A)) & F = D & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k11_prvect_2(A,F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_prvect_2(A,F))))) & v3_normsp_1(G,k11_prvect_2(A,F)) & E = k5_normsp_1(k11_prvect_2(A,F),G) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ? [I] : ( m1_subset_1(I,k4_card_3(k4_prvect_2(A))) & I = k1_normsp_0(k14_prvect_2(A),C,H) & k1_normsp_0(k11_prvect_2(A,F),G,H) = k1_funct_1(I,F) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k4_finseq_1(D) = k2_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(B)) => ? [J] : ( m2_subset_1(J,k4_ordinal1,k4_finseq_1(A)) & J = E & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,u1_struct_0(k11_prvect_2(A,J))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_prvect_2(A,J))))) & v3_normsp_1(K,k11_prvect_2(A,J)) & k1_funct_1(D,E) = k5_normsp_1(k11_prvect_2(A,J),K) & ! [L] : ( m1_subset_1(L,k4_ordinal1) => ? [M] : ( m1_subset_1(M,k4_card_3(k4_prvect_2(A))) & M = k1_normsp_0(k14_prvect_2(A),C,L) & k1_normsp_0(k11_prvect_2(A,J),K,L) = k1_funct_1(M,J) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e43_17_1_2__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)))) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))) & ! [H] : ~ ? [I] : ( m2_finseq_1(I,u1_struct_0(A)) & k4_finseq_1(I) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))) & H = k4_rlvect_1(A,I) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => k1_funct_1(I,J) = k1_binop_1(F,J,G) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))) => ? [K] : ( m2_finseq_1(K,u1_struct_0(A)) & k4_finseq_1(K) = k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))) & k1_funct_1(G,H) = k4_rlvect_1(A,K) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(K)) => k1_funct_1(K,L) = k1_binop_1(F,L,H) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e4_57_1_1_1_1_1__group_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k2_nat_1(2,D))) & ! [F] : ~ ( ( k5_int_1(E,2) = 1 => F = B ) & ( k5_int_1(E,2) = k5_numbers => F = C ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k4_finseq_1(E) = k2_finseq_1(k2_nat_1(2,D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k2_nat_1(2,D))) => ( ( k5_int_1(F,2) = 1 => k1_funct_1(E,F) = B ) & ( k5_int_1(F,2) = k5_numbers => k1_funct_1(E,F) = C ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e4_57_1_1_1_1_2__group_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_int_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k2_nat_1(2,k1_int_2(B)))) & ! [F] : ~ ( ( k5_int_1(E,2) = 1 => F = k2_group_1(A,D) ) & ( k5_int_1(E,2) = k5_numbers => F = k2_group_1(A,C) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k4_finseq_1(E) = k2_finseq_1(k2_nat_1(2,k1_int_2(B))) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k2_nat_1(2,k1_int_2(B)))) => ( ( k5_int_1(F,2) = 1 => k1_funct_1(E,F) = k2_group_1(A,D) ) & ( k5_int_1(F,2) = k5_numbers => k1_funct_1(E,F) = k2_group_1(A,C) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e6_15_1__qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) & m2_finseq_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ~ ? [G] : ( m1_trees_1(G,k9_xtuple_0(k2_qc_lang4(A,B))) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & ? [I] : ( v7_ordinal1(I) & I = E & H = k5_relat_1(D,k2_finseq_1(I)) & G = k7_finseq_1(C,H) & F = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),G) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ? [J] : ( m1_trees_1(J,k9_xtuple_0(k2_qc_lang4(A,B))) & ? [K] : ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) & ? [L] : ( v7_ordinal1(L) & L = F & K = k5_relat_1(D,k2_finseq_1(L)) & J = k7_finseq_1(C,K) & k1_funct_1(E,F) = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),J) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e8_14__qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) & m2_finseq_1(D,k4_ordinal1) & v7_ordinal1(E) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k1_nat_1(E,1))) & ! [G] : ~ ? [H] : ( m1_subset_1(H,k9_qc_lang1(A)) & ? [I] : ( v7_ordinal1(I) & ? [J] : ( v7_ordinal1(J) & ? [K] : ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) & H = G & I = F & k2_xcmplx_0(I,J) = k1_nat_1(E,1) & K = k5_relat_1(D,k2_finseq_1(J)) & H = k1_funct_1(k2_qc_lang4(A,B),k7_finseq_1(C,K)) ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k2_finseq_1(k1_nat_1(E,1)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k1_nat_1(E,1))) => ? [L] : ( m1_subset_1(L,k9_qc_lang1(A)) & ? [M] : ( v7_ordinal1(M) & ? [N] : ( v7_ordinal1(N) & ? [O] : ( v1_relat_1(O) & v1_funct_1(O) & v1_finseq_1(O) & L = k1_funct_1(F,G) & M = G & k2_xcmplx_0(M,N) = k1_nat_1(E,1) & O = k5_relat_1(D,k2_finseq_1(N)) & L = k1_funct_1(k2_qc_lang4(A,B),k7_finseq_1(C,O)) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e8_44__jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k7_nat_d(k2_nat_1(2,k3_finseq_1(A)),1))) & ! [C] : ~ ! [D] : ( v7_ordinal1(D) => ( ( B = k3_xcmplx_0(2,D) | B = k7_nat_d(k3_xcmplx_0(2,D),1) ) => ( ( B = k3_xcmplx_0(2,D) => C = k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,D)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)))) ) & ( B = k7_nat_d(k3_xcmplx_0(2,D),1) => C = k7_partfun1(u1_struct_0(k15_euclid(2)),A,D) ) ) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k4_finseq_1(B) = k2_finseq_1(k7_nat_d(k2_nat_1(2,k3_finseq_1(A)),1)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k7_nat_d(k2_nat_1(2,k3_finseq_1(A)),1))) => ! [E] : ( v7_ordinal1(E) => ( ( C = k3_xcmplx_0(2,E) | C = k7_nat_d(k3_xcmplx_0(2,E),1) ) => ( ( C = k3_xcmplx_0(2,E) => k1_funct_1(B,C) = k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,E)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)))) ) & ( C = k7_nat_d(k3_xcmplx_0(2,E),1) => k1_funct_1(B,C) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e8_86_2_1_1_1_3__algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v5_relat_1(D,C) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(F)) & ! [H] : ~ ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k6_xcmplx_0(E,1)) & G = I & ! [J] : ( ( v7_ordinal1(J) & ~ v8_ordinal1(J) ) => ! [K] : ( ( v7_ordinal1(K) & ~ v8_ordinal1(K) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k11_algstr_4(A,J),u1_struct_0(B)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,J),u1_struct_0(B)))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k11_algstr_4(A,K),u1_struct_0(B)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,K),u1_struct_0(B)))) ) => ~ ( J = I & K = k6_xcmplx_0(E,I) & L = k1_funct_1(D,J) & M = k1_funct_1(D,K) & H = k17_algstr_4(A,B,J,K,L,M) ) ) ) ) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k4_finseq_1(G) = k2_finseq_1(F) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(F)) => ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(1,N) & r1_xxreal_0(N,k6_xcmplx_0(E,1)) & H = N & ! [O] : ( ( v7_ordinal1(O) & ~ v8_ordinal1(O) ) => ! [P] : ( ( v7_ordinal1(P) & ~ v8_ordinal1(P) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k11_algstr_4(A,O),u1_struct_0(B)) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,O),u1_struct_0(B)))) ) => ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,k11_algstr_4(A,P),u1_struct_0(B)) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,P),u1_struct_0(B)))) ) => ~ ( O = N & P = k6_xcmplx_0(E,N) & Q = k1_funct_1(D,O) & R = k1_funct_1(D,P) & k1_funct_1(G,H) = k17_algstr_4(A,B,O,P,Q,R) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_1__e9_33_1_2__eqrel_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : C != k1_funct_1(A,k6_xcmplx_0(k1_nat_1(1,k3_finseq_1(A)),B)) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(B,C) = k1_funct_1(A,k6_xcmplx_0(k1_nat_1(1,k3_finseq_1(A)),C)) ) ) ) ) ) )).
fof(s1_finseq_2__e10_26_2_1__pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) & m2_finseq_1(D,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) ) => ? [E] : ( m2_finseq_1(E,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s1_finseq_2__e10_45_3__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(B)) & v7_ordinal1(E) & m2_finseq_1(F,u1_struct_0(A)) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(B)) & k3_finseq_1(G) = k3_finseq_1(C) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k3_vectsp_1(A,B,k7_partfun1(u1_struct_0(A),F,H),k7_partfun1(u1_struct_0(B),D,E)) ) ) ) ) )).
fof(s1_finseq_2__e10_75_1_2_2__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & k3_finseq_1(E) = k3_finseq_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k5_algstr_0(B,k7_partfun1(u1_struct_0(B),D,F),k7_partfun1(u1_struct_0(B),C,F)) ) ) ) ) )).
fof(s1_finseq_2__e10_9_1__grnilp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,k4_numbers) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k2_group_4(k4_xcmplx_0(k2_group_4(k7_partfun1(k4_numbers,C,E)))) ) ) ) ) )).
fof(s1_finseq_2__e11_14_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_radix_1(E,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e11_18__scmyciel,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_finseq_1(A) ) => ? [B] : ( m2_finseq_1(B,k4_ordinal1) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k4_card_1(k1_funct_1(A,C)) ) ) ) ) )).
fof(s1_finseq_2__e12_16_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_radix_1(E,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e12_69__entropy1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_matrprob(A) & m2_finseq_1(A,k1_numbers) & ~ v1_xboole_0(B) & v1_matrprob(B) & m2_finseq_1(B,k1_numbers) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k10_subset_1(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,D),k3_power(2,k4_power)),k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(B,D),k1_funct_1(A,D)),1)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e12_93_1_1__polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & m1_subset_1(B,u1_struct_0(k1_complfld)) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( m2_finseq_1(D,u1_struct_0(k1_complfld)) & k3_finseq_1(D) = k7_nat_d(k1_algseq_1(k1_complfld,k6_polynom5(k1_complfld,A,k5_polynom5(k1_complfld,B,k1_group_1(k1_complfld)))),k1_nat_1(C,1)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k8_group_1(k1_complfld,k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k6_polynom5(k1_complfld,A,k5_polynom5(k1_complfld,B,k1_group_1(k1_complfld))),k10_subset_1(k2_xcmplx_0(C,E),k4_ordinal1)),k9_nat_1(u1_struct_0(k1_complfld),k4_group_1(k1_complfld),o_3_0_polynom5(A,B,C),k10_subset_1(k2_xcmplx_0(C,E),k4_ordinal1))) ) ) ) ) )).
fof(s1_finseq_2__e13_13__integra5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_integra1(C,A) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k10_subset_1(k1_funct_1(B,k3_seq_4(k2_integra1(A,C,k1_nat_1(F,1)))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e13_72_1__group_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,k4_numbers) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k2_group_4(k4_xcmplx_0(k2_group_4(k7_partfun1(k4_numbers,C,E)))) ) ) ) ) )).
fof(s1_finseq_2__e14_34_4__integra3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k10_subset_1(k3_integra1(k2_integra1(A,B,D)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e14_35_4__integra3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k10_subset_1(k3_integra1(k2_integra1(A,B,D)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e15_32_1_1_1__convfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m2_finseq_1(B,k1_numbers) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & m2_finseq_1(D,u1_struct_0(C)) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(C)) & k3_finseq_1(E) = A & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_rlvect_1(C,k7_partfun1(u1_struct_0(C),D,F),k12_supinf_2(B,F)) ) ) ) ) )).
fof(s1_finseq_2__e15_88_10_2_1_2_1_2__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,k6_numbers) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(D,G),k12_supinf_2(k4_finseqop(B,k6_numbers,E,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e16_13__integra5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_integra1(C,A) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k10_subset_1(k1_funct_1(B,k2_seq_4(k2_integra1(A,C,F))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e16_75_1_2_2__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k2_normsp_0(B,k7_partfun1(u1_struct_0(B),C,E)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e17_2_1_7_1_1_7_1_2__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = 2 & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e17_74_2_4__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & k3_finseq_1(E) = k3_finseq_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,F),k7_partfun1(u1_struct_0(B),k4_finseq_5(u1_struct_0(B),D),F)) ) ) ) ) )).
fof(s1_finseq_2__e19_16_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_radix_1(E,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e19_30_1_1_1__convfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & m2_finseq_1(C,k1_numbers) & m2_finseq_1(D,u1_struct_0(A)) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & k3_finseq_1(E) = B & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),k17_finseq_1(u1_struct_0(A),B,D),F),k12_supinf_2(k10_rvsum_1(k17_finseq_1(k1_numbers,B,C),k2_extreal1(1,k6_xcmplx_0(1,k12_supinf_2(C,k1_nat_1(B,1))))),F)) ) ) ) ) )).
fof(s1_finseq_2__e19_9_1_1_1_2__gobrd10,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ? [B] : ( m2_finseq_1(B,k4_ordinal1) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_nat_1(k7_partfun1(k4_ordinal1,A,C),1) ) ) ) ) )).
fof(s1_finseq_2__e1_14_2_1_1_2_1__amistd_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ? [C] : ( m2_finseq_1(C,k4_ordinal1) & k3_finseq_1(C) = k1_nat_1(k7_nat_d(B,A),1) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k7_nat_d(k2_xcmplx_0(A,D),1) ) ) ) ) )).
fof(s1_finseq_2__e1_17_2__integra5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_integra1(C,A) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k1_funct_1(B,k2_seq_4(k2_integra1(A,C,E))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e1_38__integra1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k10_subset_1(k3_integra1(k2_integra1(A,B,D)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e1_44__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k3_xcmplx_0(k3_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,k2_integra1(A,B,E)))),k3_integra1(k2_integra1(A,B,E))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e1_4_1__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e1_4__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_finseq_2(B,A) ) => ? [C] : ( m2_finseq_1(C,k4_ordinal1) & k3_finseq_1(C) = k3_finseq_1(o_2_1_ltlaxio4(A,B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k3_finseq_1(k7_partfun1(B,o_2_1_ltlaxio4(A,B),D)) ) ) ) ) )).
fof(s1_finseq_2__e1_58_1__polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m2_finseq_1(B,k3_finseq_2(k4_finseq_2(k1_nat_1(2,1),k4_ordinal1))) & k3_finseq_1(B) = k1_nat_1(A,1) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k4_polynom3(k4_ordinal1,2,1,k6_polynom3(2,k7_nat_d(C,1)),k5_finseq_2(k4_finseq_2(1,k4_ordinal1),C,k13_matrix_0(k4_ordinal1,k7_nat_d(k1_nat_1(A,1),C)))) ) ) ) ) )).
fof(s1_finseq_2__e1_58_4__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_matrlin(E,A,B) & m1_matrlin(F,A,C) & v7_ordinal1(G) ) => ? [H] : ( m2_finseq_1(H,u1_struct_0(A)) & k3_finseq_1(H) = k3_finseq_1(E) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k1_funct_1(H,I) = k7_partfun1(u1_struct_0(A),k9_matrlin(A,C,F,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k7_partfun1(u1_struct_0(B),E,I))),G) ) ) ) ) )).
fof(s1_finseq_2__e1_5_11__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e1_5_8__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e1_5_9__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e20_2_1_7_1_1_7_1_1__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,k6_numbers) & m2_finseq_1(E,B) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = 2 & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(D,G),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e21_75_1_2_2__ndiff_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & m1_subset_1(B,k1_numbers) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = B ) ) ) ) )).
fof(s1_finseq_2__e22_3_2_1__vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m2_finseq_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & k3_finseq_1(D) = B & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k2_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),C,E)) ) ) ) ) )).
fof(s1_finseq_2__e23_9_1_1_1_2__gobrd10,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ? [B] : ( m2_finseq_1(B,k4_ordinal1) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_nat_1(k7_partfun1(k4_ordinal1,A,C),1) ) ) ) ) )).
fof(s1_finseq_2__e26_16_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_radix_1(E,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e29_5__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_finseq_1(C,k6_numbers) & m2_finseq_1(D,k6_numbers) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k12_supinf_2(D,k1_nat_1(k3_nat_d(k7_nat_d(G,1),k3_finseq_1(C)),1)) ) ) ) ) )).
fof(s1_finseq_2__e29_88__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k4_finseqop(B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e2_3_2__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_finseq_1(D,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(C) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(D,G),k12_supinf_2(k3_mesfunc2(k1_funct_1(C,G),A),E)) ) ) ) ) )).
fof(s1_finseq_2__e2_63__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v2_struct_0(B) & l4_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_ideal_1(D,A,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m2_finseq_1(F,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(B)) & k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k6_algstr_0(B,k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),F,H))),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),F,H)))),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),F,H)))) ) ) ) ) )).
fof(s1_finseq_2__e2_66__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v2_struct_0(B) & l4_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_ideal_1(D,A,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m2_finseq_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(B)) & k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),F,H))),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k3_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),F,H)))) ) ) ) ) )).
fof(s1_finseq_2__e2_69__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & ~ v2_struct_0(B) & l4_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m3_ideal_1(D,A,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m2_finseq_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(B)) & k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),F,H))),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k3_domain_1(u1_struct_0(A),u1_struct_0(A),k7_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),F,H)))) ) ) ) ) )).
fof(s1_finseq_2__e2_7_2_1_2_1__ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ? [D] : ( m2_finseq_1(D,k4_ordinal1) & k3_finseq_1(D) = k1_nat_1(k7_nat_d(B,A),1) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k3_funct_2(k4_ordinal1,k4_ordinal1,C,k7_nat_d(k2_xcmplx_0(A,E),1)) ) ) ) ) )).
fof(s1_finseq_2__e32_5__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_finseq_1(C,k6_numbers) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( m2_finseq_1(E,k6_numbers) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k12_supinf_2(C,k1_nat_1(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(C)),1)) ) ) ) ) )).
fof(s1_finseq_2__e33_45__hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v3_ordinal1(B) & ~ v1_finset_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,A)))) & m1_ideal_1(D,k12_polynom1(B,A),C) & v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & m2_finseq_1(F,k3_zfmisc_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)))) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(A)) & k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k8_group_1(A,k8_group_1(A,k3_funct_2(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),k3_polynom2(B,A,E),k1_mcart_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),k7_partfun1(k3_zfmisc_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A))),F,H))),k3_funct_2(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),k3_polynom2(B,A,E),k2_mcart_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),k7_partfun1(k3_zfmisc_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A))),F,H)))),k3_funct_2(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),k3_polynom2(B,A,E),k3_mcart_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),k7_partfun1(k3_zfmisc_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A)),u1_struct_0(k12_polynom1(B,A))),F,H)))) ) ) ) ) )).
fof(s1_finseq_2__e37_90__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k4_finseqop(B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e39_58_1__polynom3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m2_finseq_1(E,k3_finseq_2(k4_finseq_2(3,k4_ordinal1))) ) => ? [F] : ( m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k7_polynom3(A,B,C,D,k9_pre_poly(k4_finseq_2(3,k4_ordinal1),k4_ordinal1,k3_finseq_2(k4_finseq_2(3,k4_ordinal1)),E,G)) ) ) ) ) )).
fof(s1_finseq_2__e3_14__integra4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v7_ordinal1(B) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k3_finseq_1(C) = B & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k10_subset_1(k2_xcmplx_0(k3_seq_4(A),k3_xcmplx_0(k7_xcmplx_0(k3_integra1(A),B),D)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e3_16__integra6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v7_ordinal1(B) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k3_finseq_1(C) = B & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k10_subset_1(k2_xcmplx_0(k3_seq_4(A),k3_xcmplx_0(k7_xcmplx_0(k3_integra1(A),B),D)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e3_41_3__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k3_xcmplx_0(k3_seq_4(k1_rvsum_1(C)),k1_funct_1(k5_integra1(A,k7_rfunct_1(A,A),B),E)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e3_43_3__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k3_xcmplx_0(k2_seq_4(k1_rvsum_1(C)),k1_funct_1(k4_integra1(A,k7_rfunct_1(A,A),B),E)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e3_88_10_2_1_2_1_2__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,k6_numbers) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(D,G),k12_supinf_2(k4_finseqop(B,k6_numbers,E,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e43_90__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_finseq_1(D,k6_numbers) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(C) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k4_supinf_2(k12_supinf_2(D,G),k12_supinf_2(E,G)) ) ) ) ) )).
fof(s1_finseq_2__e44_58_1__polynom3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m2_finseq_1(E,k3_finseq_2(k4_finseq_2(3,k4_ordinal1))) ) => ? [F] : ( m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k7_polynom3(A,B,C,D,k9_pre_poly(k4_finseq_2(3,k4_ordinal1),k4_ordinal1,k3_finseq_2(k4_finseq_2(3,k4_ordinal1)),E,G)) ) ) ) ) )).
fof(s1_finseq_2__e49_90__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k4_finseqop(B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e4_14_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_radix_1(E,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e4_19__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_finseq_1(D,k6_numbers) & m1_subset_1(E,A) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(D,G),k12_supinf_2(k3_mesfunc2(k1_funct_1(C,G),A),E)) ) ) ) ) )).
fof(s1_finseq_2__e51_90__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k4_finseqop(B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e54_5__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_finseq_1(D,k6_numbers) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(C) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k3_supinf_2(k12_supinf_2(D,G),k12_supinf_2(E,G)) ) ) ) ) )).
fof(s1_finseq_2__e5_15_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,k4_numbers) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k5_radix_1(F,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e5_16_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_radix_1(E,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e5_40__jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ? [B] : ( m2_finseq_1(B,k1_numbers) & k3_finseq_1(B) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k10_subset_1(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,1,C)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e5_54__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_random_1(B,A,k1_random_1(A)) & m2_finseq_1(C,k1_numbers) & m2_finseq_1(D,A) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k3_finseq_1(E) = k3_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k10_subset_1(k1_extreal1(k12_supinf_2(B,k1_funct_1(D,F)),k12_supinf_2(k2_random_1(A),k1_tarski(k1_funct_1(D,F)))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e6_13__integra5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_integra1(C,A) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k6_xcmplx_0(k1_funct_1(B,k2_seq_4(k2_integra1(A,C,E))),k1_funct_1(B,k3_seq_4(k2_integra1(A,C,E)))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e6_17_2__integra5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_integra1(C,A) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k1_funct_1(B,k3_seq_4(k2_integra1(A,C,E))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e6_58_1__polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m2_finseq_1(B,k3_finseq_2(k4_finseq_2(k1_nat_1(1,2),k4_ordinal1))) & k3_finseq_1(B) = k1_nat_1(A,1) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k4_polynom3(k4_ordinal1,1,2,k5_finseq_2(k4_finseq_2(1,k4_ordinal1),k7_nat_d(k1_nat_1(A,2),C),k13_matrix_0(k4_ordinal1,k7_nat_d(C,1))),k6_polynom3(2,k7_nat_d(k1_nat_1(A,1),C))) ) ) ) ) )).
fof(s1_finseq_2__e6_72_1__group_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k2_group_1(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) ) )).
fof(s1_finseq_2__e6_78__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) & v7_ordinal1(F) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(B)) & k3_finseq_1(G) = k3_finseq_1(C) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k8_group_1(B,k3_matrix_0(u1_struct_0(B),C,F,H),k12_matrix_3(A,B,k3_matrix11(F,A,A,u1_struct_0(B),E,k7_matrix_0(u1_struct_0(B),D,H)))) ) ) ) ) )).
fof(s1_finseq_2__e6_9_1__grnilp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k2_group_1(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) ) )).
fof(s1_finseq_2__e7_2_1_7_1_2_2_1_1__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,k6_numbers) & m2_finseq_1(E,k6_numbers) & m2_finseq_1(F,B) ) => ? [G] : ( m2_finseq_1(G,k6_numbers) & k3_finseq_1(G) = k3_finseq_1(E) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_extreal1(k12_supinf_2(D,H),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,F,C),H)) ) ) ) ) )).
fof(s1_finseq_2__e7_38__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k2_seq_4(k2_integra1(A,B,E)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e7_39__jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ? [B] : ( m2_finseq_1(B,k1_numbers) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k10_subset_1(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,1)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e7_55__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_random_1(B,A,k1_random_1(A)) & m2_finseq_1(C,k1_numbers) & m2_finseq_1(D,A) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k3_finseq_1(E) = k3_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k10_subset_1(k12_supinf_2(B,k1_funct_1(D,F)),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e8_15_1__radix_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v3_card_1(C,k2_xcmplx_0(A,1)) & m2_finseq_1(C,k3_radix_1(B)) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,k4_numbers) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k5_radix_1(F,B,k2_xcmplx_0(A,1),C) ) ) ) ) )).
fof(s1_finseq_2__e8_44__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k3_xcmplx_0(k2_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,k2_integra1(A,B,E)))),k3_integra1(k2_integra1(A,B,E))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e8_45_5__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,C) & v9_vectsp_1(D,C) & v10_vectsp_1(D,C) & v11_vectsp_1(D,C) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,C) & l1_vectsp_1(D,C) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),B,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) & m2_finseq_1(F,u1_struct_0(C)) & m2_finseq_1(G,u1_struct_0(D)) & v7_ordinal1(H) ) => ? [I] : ( m2_finseq_1(I,u1_struct_0(D)) & k3_finseq_1(I) = k3_finseq_1(G) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => k1_funct_1(I,J) = k3_vectsp_1(C,D,k7_partfun1(u1_struct_0(C),F,H),k7_partfun1(u1_struct_0(D),k5_matrlin(C,D,k7_matrix_0(u1_struct_0(C),E,H),G),J)) ) ) ) ) )).
fof(s1_finseq_2__e8_92__polynom5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ? [B] : ( m2_finseq_1(B,k1_numbers) & k3_finseq_1(B) = k1_algseq_1(k1_complfld,k8_polynom5(k1_complfld,A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k10_subset_1(k9_complex1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k8_polynom5(k1_complfld,A),k7_nat_d(C,1))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e9_17_2__integra5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_integra1(C,A) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k10_subset_1(k1_funct_1(B,k2_seq_4(k2_integra1(A,C,F))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e9_37__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k3_finseq_1(F) = k3_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(E,G),k12_supinf_2(k4_finseqop(B,k6_numbers,D,C),G)) ) ) ) ) )).
fof(s1_finseq_2__e9_38__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k3_seq_4(k2_integra1(A,B,k1_nat_1(E,1))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e9_3_2_1__vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_relat_1(B) & v5_relat_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(B) & v3_trees_2(B) & v2_bintree1(B) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) & m2_finseq_1(D,k9_xtuple_0(B)) ) => ? [E] : ( m2_finseq_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & k3_finseq_1(E) = C & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k3_trees_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),B,k7_partfun1(k9_xtuple_0(B),D,F)) ) ) ) ) )).
fof(s1_finseq_2__e9_41_3__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k3_xcmplx_0(k3_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,k2_integra1(A,B,E)))),k3_integra1(k2_integra1(A,B,E))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_2__e9_43_3__integra1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k10_subset_1(k3_xcmplx_0(k2_seq_4(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,k2_integra1(A,B,E)))),k3_integra1(k2_integra1(A,B,E))),k1_numbers) ) ) ) ) )).
fof(s1_finseq_4__e11_24__matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(C)) & ! [F] : ( m1_subset_1(F,D) => ~ ( ( E = 1 => F = A ) & ( E = 2 => F = B ) & ( ~ r1_xxreal_0(E,2) => ( ( r1_xxreal_0(E,k1_nat_1(A,1)) => F = k6_xcmplx_0(E,2) ) & ( r1_xxreal_0(E,B) => ( r1_xxreal_0(E,k1_nat_1(A,1)) | F = k6_xcmplx_0(E,1) ) ) & ( ~ r1_xxreal_0(E,B) => F = E ) ) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,D) & k3_finseq_1(E) = C & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(C)) => ( ( F = 1 => k7_partfun1(D,E,F) = A ) & ( F = 2 => k7_partfun1(D,E,F) = B ) & ( ~ r1_xxreal_0(F,2) => ( ( r1_xxreal_0(F,k1_nat_1(A,1)) => k7_partfun1(D,E,F) = k6_xcmplx_0(F,2) ) & ( r1_xxreal_0(F,B) => ( r1_xxreal_0(F,k1_nat_1(A,1)) | k7_partfun1(D,E,F) = k6_xcmplx_0(F,1) ) ) & ( ~ r1_xxreal_0(F,B) => k7_partfun1(D,E,F) = F ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e13_2_1_1_2_7_1_1_1_1_1__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ! [G] : ( v7_ordinal1(G) => ( G = k6_xcmplx_0(C,E) => F = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,G) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => ! [H] : ( v7_ordinal1(H) => ( H = k6_xcmplx_0(C,F) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,H) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e13_2_1_1_2_7_1_2_1_1_1__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ! [G] : ( v7_ordinal1(G) => ( G = k6_xcmplx_0(B,E) => F = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,G,C) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => ! [H] : ( v7_ordinal1(H) => ( H = k6_xcmplx_0(B,F) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,H,C) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e16_13_1_1_1_2_4_1_2_1_1_1__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ! [G] : ( v7_ordinal1(G) => ( G = k6_xcmplx_0(B,E) => F = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,G,C) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => ! [H] : ( v7_ordinal1(H) => ( H = k6_xcmplx_0(B,F) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,H,C) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e18_13_1_1_1_2_4_1_1_1_1_1__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ! [G] : ( v7_ordinal1(G) => ( G = k6_xcmplx_0(C,E) => F = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,G) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => ! [H] : ( v7_ordinal1(H) => ( H = k6_xcmplx_0(C,F) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,H) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e32_1_1_4_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k4_ordinal1) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => F != k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,A),k2_xcmplx_0(B,E)) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,A),k2_xcmplx_0(B,F)) ) ) ) ) ) )).
fof(s1_finseq_4__e3_58__ami_wstd,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(2)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( ( C = 1 => D = A ) & ( C = 2 => D = B ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k4_ordinal1) & k3_finseq_1(C) = 2 & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(2)) => ( ( D = 1 => k7_partfun1(k4_ordinal1,C,D) = A ) & ( D = 2 => k7_partfun1(k4_ordinal1,C,D) = B ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e4_100__matrixr2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,k3_finseq_2(k1_numbers)) => ~ ! [E] : ( v7_ordinal1(E) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ( ( E = C & F = D ) => ( k3_finseq_1(F) = A & k12_matrixr1(B,F) = k6_matrixr2(A,E) ) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k3_finseq_2(k1_numbers)) & k3_finseq_1(C) = A & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ( ( G = D & H = k7_partfun1(k3_finseq_2(k1_numbers),C,D) ) => ( k3_finseq_1(H) = A & k12_matrixr1(B,H) = k6_matrixr2(A,G) ) ) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e6_1_1_4_1_2_1_1_2_22_1_2_1_1_2_17_1_1__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => G != k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)),k2_xcmplx_0(E,F)) ) ) ) => ? [F] : ( m2_finseq_1(F,u1_struct_0(k15_euclid(2))) & k3_finseq_1(F) = D & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(D)) => k7_partfun1(u1_struct_0(k15_euclid(2)),F,G) = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)),k2_xcmplx_0(E,G)) ) ) ) ) ) )).
fof(s1_finseq_4__e7_1_1_4_1_2_1_1_2_22_1_2_1_1_2_17_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ! [G] : ( v7_ordinal1(G) => ( G = k6_xcmplx_0(k1_nat_1(C,1),E) => F = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)),G) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => ! [H] : ( v7_ordinal1(H) => ( H = k6_xcmplx_0(k1_nat_1(C,1),F) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)),H) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e7_32_1_2__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ! [F] : ( v7_ordinal1(F) => ( k2_xcmplx_0(D,F) = k1_nat_1(B,1) => E = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A),F) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(C)) => ! [G] : ( v7_ordinal1(G) => ( k2_xcmplx_0(E,G) = k1_nat_1(B,1) => k7_partfun1(u1_struct_0(k15_euclid(2)),D,E) = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A),G) ) ) ) ) ) ) ) )).
fof(s1_finseq_4__e7_32_1_3__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => F != k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A),k2_xcmplx_0(D,E)) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = C & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(C)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A),k2_xcmplx_0(D,F)) ) ) ) ) ) )).
fof(s1_finseq_4__e7_94__finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(B,A) & m2_finseq_1(C,A) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,A) => k7_partfun1(A,C,k2_xcmplx_0(k3_finseq_1(B),E)) != F ) ) ) => ? [E] : ( m2_finseq_1(E,A) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => k7_partfun1(A,C,k2_xcmplx_0(k3_finseq_1(B),F)) = k7_partfun1(A,E,F) ) ) ) ) ) )).
fof(s1_finset_1__e1_4__card_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k10_ordinal2(A,B) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,k10_ordinal2(A,B)) => ( ( r2_tarski(F,A) => k1_funct_1(E,F) = k4_tarski(F,C) ) & ( ~ r2_tarski(F,A) => k1_funct_1(E,F) = k4_tarski(k5_ordinal3(F,A),D) ) ) ) ) ) ) )).
fof(s1_finset_1__e8_7__finset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_ordinal1(C) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k10_ordinal2(C,D) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,k10_ordinal2(C,D)) => ( ( r2_tarski(F,C) => k1_funct_1(E,F) = k1_funct_1(A,F) ) & ( ~ r2_tarski(F,C) => k1_funct_1(E,F) = k1_funct_1(B,k5_ordinal3(F,C)) ) ) ) ) ) ) )).
fof(s1_fraenkel__e7_8__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) ) => ( ! [D] : ( m1_subset_1(D,k4_partfun1(A,B)) => ( ( r2_tarski(D,C) & v1_finset_1(D) ) => r2_tarski(D,C) ) ) => r1_tarski(a_3_1_heyting2(A,B,C),a_3_2_heyting2(A,B,C)) ) ) )).
fof(s1_funct_1__e3_1__partfun1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ! [D] : ! [E] : ( ( r2_hidden(k4_tarski(C,D),k2_xboole_0(A,B)) & r2_hidden(k4_tarski(C,E),k2_xboole_0(A,B)) ) => D = E ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,k2_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) & r2_hidden(k4_tarski(D,E),k2_xboole_0(A,B)) ) ) ) ) ) )).
fof(s1_funct_1__e6_57__ordinal1,axiom,( ! [A] : ( ! [B] : ! [C] : ! [D] : ( ( r2_hidden(B,A) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) ) => ( E = B => k9_xtuple_0(E) = C ) ) & r2_hidden(B,A) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v5_ordinal1(F) ) => ( F = B => k9_xtuple_0(F) = D ) ) ) => C = D ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,A) & r2_hidden(C,A) & ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v5_ordinal1(G) ) => ( G = C => k9_xtuple_0(G) = D ) ) ) ) ) ) )).
fof(s1_funct_1__e7_58__wellord1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ( ! [C] : ! [D] : ! [E] : ( ( r2_hidden(D,k1_relat_1(B)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),k2_wellord1(B,k1_wellord1(B,D))) & r2_hidden(E,k1_relat_1(B)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),k2_wellord1(B,k1_wellord1(B,E))) ) => D = E ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,k1_relat_1(A)) & r2_hidden(E,k1_relat_1(B)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,D)),k2_wellord1(B,k1_wellord1(B,E))) ) ) ) ) ) )).
fof(s1_funct_2__e10_19_1_2__scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => ( ! [B] : ~ ( r2_hidden(B,a_1_1_scmyciel(A)) & ! [C] : ~ ( r2_hidden(C,a_1_2_scmyciel(A)) & ! [D] : ( m1_subset_1(D,k3_tarski(A)) => ! [E] : ( m1_subset_1(E,k3_tarski(A)) => ( ( r2_tarski(D,k3_tarski(A)) & r2_tarski(E,k3_tarski(A)) & B = k2_tarski(D,k4_tarski(E,k3_tarski(A))) ) => C = k4_tarski(D,E) ) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,a_1_1_scmyciel(A),a_1_2_scmyciel(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(a_1_1_scmyciel(A),a_1_2_scmyciel(A)))) & ! [C] : ( r2_hidden(C,a_1_1_scmyciel(A)) => ! [F] : ( m1_subset_1(F,k3_tarski(A)) => ! [G] : ( m1_subset_1(G,k3_tarski(A)) => ( ( r2_tarski(F,k3_tarski(A)) & r2_tarski(G,k3_tarski(A)) & C = k2_tarski(F,k4_tarski(G,k3_tarski(A))) ) => k1_funct_1(B,C) = k4_tarski(F,G) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e10_23_1__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) & E = D & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( k1_funct_1(k2_tops_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k1_nagata_2),C) = k4_tarski(F,G) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r1_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,E,H) & v1_pscomp_1(E,k2_borsuk_1(A,A)) & r1_nagata_1(u1_struct_0(A),H) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r1_xxreal_0(k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,H,k1_domain_1(u1_struct_0(A),u1_struct_0(A),I,J)),1) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ? [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(A))) & ? [N] : ( m1_subset_1(N,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(M,A) & v3_pre_topc(N,A) & r2_tarski(M,k1_funct_1(B,G)) & r2_tarski(N,k1_funct_1(B,F)) & r2_tarski(K,M) & r1_tarski(k2_pre_topc(A,M),N) & ~ r2_tarski(L,N) ) ) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,H,k1_domain_1(u1_struct_0(A),u1_struct_0(A),K,L)) = 1 ) ) ) ) ) ) ) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ? [O] : ( v1_funct_1(O) & v1_funct_2(O,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) & O = k1_funct_1(C,D) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( k1_funct_1(k2_tops_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k1_nagata_2),D) = k4_tarski(P,Q) => ? [R] : ( v1_funct_1(R) & v1_funct_2(R,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r1_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,O,R) & v1_pscomp_1(O,k2_borsuk_1(A,A)) & r1_nagata_1(u1_struct_0(A),R) & ! [S] : ( m1_subset_1(S,u1_struct_0(A)) => ! [T] : ( m1_subset_1(T,u1_struct_0(A)) => ( r1_xxreal_0(k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,R,k1_domain_1(u1_struct_0(A),u1_struct_0(A),S,T)),1) & ! [U] : ( m1_subset_1(U,u1_struct_0(A)) => ! [V] : ( m1_subset_1(V,u1_struct_0(A)) => ( ? [W] : ( m1_subset_1(W,k1_zfmisc_1(u1_struct_0(A))) & ? [X] : ( m1_subset_1(X,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(W,A) & v3_pre_topc(X,A) & r2_tarski(W,k1_funct_1(B,Q)) & r2_tarski(X,k1_funct_1(B,P)) & r2_tarski(U,W) & r1_tarski(k2_pre_topc(A,W),X) & ~ r2_tarski(V,X) ) ) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,R,k1_domain_1(u1_struct_0(A),u1_struct_0(A),U,V)) = 1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e10_34__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k7_subset_1(k9_funct_2(B,k2_tarski(1,k5_numbers)),k1_card_fin(B,k1_nat_1(A,1),1,k5_numbers),k2_catalan2(B,k1_nat_1(A,1)))) & ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) ) => ! [G] : ( v7_ordinal1(G) => ~ ( D = F & k1_nat_1(k3_xcmplx_0(2,G),1) = k3_nat_1(a_1_1_catalan2(F)) & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_ordinal1) & v1_funct_1(H) & v5_ordinal1(H) & v1_finset_1(H) ) => ! [I] : ( ( v1_relat_1(I) & v5_relat_1(I,k4_ordinal1) & v1_funct_1(I) & v5_ordinal1(I) & v1_finset_1(I) ) => ~ ( E = k1_catalan2(H,I) & k1_afinsq_1(H) = k1_nat_1(k3_xcmplx_0(2,G),1) & k1_afinsq_1(H) = k1_afinsq_1(k5_relat_1(F,k1_nat_1(k3_xcmplx_0(2,G),1))) & F = k1_catalan2(k5_relat_1(F,k1_nat_1(k3_xcmplx_0(2,G),1)),I) & ! [J] : ( v7_ordinal1(J) => ( ~ r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,G),1),J) => k1_recdef_1(H,J) = k6_xcmplx_0(1,k1_recdef_1(F,J)) ) ) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k7_subset_1(k9_funct_2(B,k2_tarski(1,k5_numbers)),k1_card_fin(B,k1_nat_1(A,1),1,k5_numbers),k2_catalan2(B,k1_nat_1(A,1))),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k7_subset_1(k9_funct_2(B,k2_tarski(1,k5_numbers)),k1_card_fin(B,k1_nat_1(A,1),1,k5_numbers),k2_catalan2(B,k1_nat_1(A,1))),C))) & ! [E] : ( r2_hidden(E,k7_subset_1(k9_funct_2(B,k2_tarski(1,k5_numbers)),k1_card_fin(B,k1_nat_1(A,1),1,k5_numbers),k2_catalan2(B,k1_nat_1(A,1)))) => ! [K] : ( ( v1_relat_1(K) & v5_relat_1(K,k4_ordinal1) & v1_funct_1(K) & v5_ordinal1(K) & v1_finset_1(K) ) => ! [L] : ( v7_ordinal1(L) => ~ ( E = K & k1_nat_1(k3_xcmplx_0(2,L),1) = k3_nat_1(a_1_1_catalan2(K)) & ! [M] : ( ( v1_relat_1(M) & v5_relat_1(M,k4_ordinal1) & v1_funct_1(M) & v5_ordinal1(M) & v1_finset_1(M) ) => ! [N] : ( ( v1_relat_1(N) & v5_relat_1(N,k4_ordinal1) & v1_funct_1(N) & v5_ordinal1(N) & v1_finset_1(N) ) => ~ ( k1_funct_1(D,E) = k1_catalan2(M,N) & k1_afinsq_1(M) = k1_nat_1(k3_xcmplx_0(2,L),1) & k1_afinsq_1(M) = k1_afinsq_1(k5_relat_1(K,k1_nat_1(k3_xcmplx_0(2,L),1))) & K = k1_catalan2(k5_relat_1(K,k1_nat_1(k3_xcmplx_0(2,L),1)),N) & ! [O] : ( v7_ordinal1(O) => ( ~ r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,L),1),O) => k1_recdef_1(M,O) = k6_xcmplx_0(1,k1_recdef_1(K,O)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e10_51_1__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(u1_struct_0(A))) & ? [F] : ( F = E & r2_hidden(D,F) & r2_hidden(E,C) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,B) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,G) & r2_hidden(k1_funct_1(D,E),C) ) ) ) ) ) )).
fof(s1_funct_2__e10_72__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & ~ v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,D))) ) => ( ! [F] : ~ ( r2_hidden(F,k4_ordinal1) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,D)))) & G = k4_tarski(k1_funct_1(E,F),C) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,D)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,D)))))) & ! [G] : ( r2_hidden(G,k4_ordinal1) => k1_funct_1(F,G) = k4_tarski(k1_funct_1(E,G),C) ) ) ) ) )).
fof(s1_funct_2__e10_8__topgen_6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topgen_3)))) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr)))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,A) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & D = E & r2_tarski(E,A) & C = k1_tops_1(k3_topmetr,E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & ! [D] : ( r2_hidden(D,B) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & k1_funct_1(C,D) = F & r2_tarski(F,A) & D = k1_tops_1(k3_topmetr,F) ) ) ) ) ) )).
fof(s1_funct_2__e10_93__euclid_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,k2_finseq_1(A)) & ~ ( r2_hidden(C,B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( D = E & r1_xxreal_0(1,E) & r1_xxreal_0(E,A) & C = k6_euclid_7(A,E) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k2_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_finseq_1(A)))) & ! [D] : ( r2_hidden(D,B) => ~ ( r2_hidden(D,B) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( k1_funct_1(C,D) = F & r1_xxreal_0(1,F) & r1_xxreal_0(F,A) & D = k6_euclid_7(A,F) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e11_28_1__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(u1_struct_0(A))) & ! [E] : ( v7_ordinal1(E) => ( E = C => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( F = D => ( r2_tarski(F,B) & v6_tbsp_1(F,A) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k2_tbsp_1(A,F)) ) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ! [G] : ( v7_ordinal1(G) => ( G = D => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ( H = k1_funct_1(C,D) => ( r2_tarski(H,B) & v6_tbsp_1(H,A) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_tbsp_1(A,H)) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e11_31_1_2_1__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_xreal_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_tops_2(E,A) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [F] : ~ ( r2_hidden(F,E) & ! [G] : ~ ( r2_hidden(G,D) & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( k8_metric_1(B,H,k7_xcmplx_0(C,2)) = F & r2_tarski(H,D) ) => H = G ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,D))) & ! [G] : ( r2_hidden(G,E) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ( ( k8_metric_1(B,I,k7_xcmplx_0(C,2)) = G & r2_tarski(I,D) ) => I = k1_funct_1(F,G) ) ) ) ) ) ) )).
fof(s1_funct_2__e11_65_2__zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(C,A,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ~ ( r2_hidden(F,k4_numbers) & ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,D) & F = k1_funct_1(C,E) ) & ~ ( ~ r2_hidden(E,D) & F = k5_numbers ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ~ ( m1_subset_1(F,u1_struct_0(A)) & ~ ( r2_hidden(F,D) & k1_funct_1(E,F) = k1_funct_1(C,F) ) & ~ ( ~ r2_hidden(F,D) & k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e11_92__euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,k2_finseq_1(A)) & ~ ( r2_hidden(C,B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( D = E & r1_xxreal_0(1,E) & r1_xxreal_0(E,A) & C = k6_euclid_7(A,E) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k2_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_finseq_1(A)))) & ! [D] : ( r2_hidden(D,B) => ~ ( r2_hidden(D,B) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( k1_funct_1(C,D) = F & r1_xxreal_0(1,F) & r1_xxreal_0(F,A) & D = k6_euclid_7(A,F) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e12_10_2_1_2__topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(B))))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k2_zfmisc_1(k9_setfam_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) => ( ( D = F & E = k1_domain_1(k1_zfmisc_1(u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)),G,H) ) => ( k4_subset_1(u1_struct_0(B),G,H) = k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,F) & v1_topdim_1(G,B) & v1_topdim_1(H,B) & r1_xxreal_0(k2_topdim_1(B,G),A) & r1_xxreal_0(k2_topdim_1(B,H),k5_numbers) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_zfmisc_1(k9_setfam_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k9_setfam_1(u1_struct_0(B)),k9_setfam_1(u1_struct_0(B)))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(B))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(B))) => ( ( E = I & k1_funct_1(D,E) = k1_domain_1(k1_zfmisc_1(u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)),J,K) ) => ( k4_subset_1(u1_struct_0(B),J,K) = k8_nat_1(k9_setfam_1(u1_struct_0(B)),C,I) & v1_topdim_1(J,B) & v1_topdim_1(K,B) & r1_xxreal_0(k2_topdim_1(B,J),A) & r1_xxreal_0(k2_topdim_1(B,K),k5_numbers) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e12_13_2_3__yellow11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(H,u1_struct_0(k1_yellow11)) & m1_subset_1(I,u1_struct_0(k1_yellow11)) & m1_subset_1(J,u1_struct_0(k1_yellow11)) & m1_subset_1(K,u1_struct_0(k1_yellow11)) & m1_subset_1(L,u1_struct_0(k1_yellow11)) ) => ( ! [M] : ~ ( r2_hidden(M,u1_struct_0(k1_yellow11)) & ! [N] : ~ ( r2_hidden(N,G) & ! [O] : ( m1_subset_1(O,u1_struct_0(k1_yellow11)) => ( O = M => ( ( O = L => N = B ) & ( O = I => N = C ) & ( O = J => N = D ) & ( O = K => N = E ) & ( O = H => N = F ) ) ) ) ) ) => ? [M] : ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(k1_yellow11),G) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_yellow11),G))) & ! [N] : ( r2_hidden(N,u1_struct_0(k1_yellow11)) => ! [P] : ( m1_subset_1(P,u1_struct_0(k1_yellow11)) => ( P = N => ( ( P = L => k1_funct_1(M,N) = B ) & ( P = I => k1_funct_1(M,N) = C ) & ( P = J => k1_funct_1(M,N) = D ) & ( P = K => k1_funct_1(M,N) = E ) & ( P = H => k1_funct_1(M,N) = F ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e12_14_2_3__yellow11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(H,u1_struct_0(k2_yellow11)) & m1_subset_1(I,u1_struct_0(k2_yellow11)) & m1_subset_1(J,u1_struct_0(k2_yellow11)) & m1_subset_1(K,u1_struct_0(k2_yellow11)) & m1_subset_1(L,u1_struct_0(k2_yellow11)) ) => ( ! [M] : ~ ( r2_hidden(M,u1_struct_0(k2_yellow11)) & ! [N] : ~ ( r2_hidden(N,G) & ! [O] : ( m1_subset_1(O,u1_struct_0(k2_yellow11)) => ( O = M => ( ( O = L => N = B ) & ( O = K => N = C ) & ( O = J => N = D ) & ( O = I => N = E ) & ( O = H => N = F ) ) ) ) ) ) => ? [M] : ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(k2_yellow11),G) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow11),G))) & ! [N] : ( r2_hidden(N,u1_struct_0(k2_yellow11)) => ! [P] : ( m1_subset_1(P,u1_struct_0(k2_yellow11)) => ( P = N => ( ( P = L => k1_funct_1(M,N) = B ) & ( P = K => k1_funct_1(M,N) = C ) & ( P = J => k1_funct_1(M,N) = D ) & ( P = I => k1_funct_1(M,N) = E ) & ( P = H => k1_funct_1(M,N) = F ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e12_34__nagata_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & E = D & v1_tops_2(E,A) & m1_setfam_1(E,u1_struct_0(A)) & r1_setfam_1(E,k1_funct_1(B,C)) & v1_pcomps_1(E,A) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & F = k1_funct_1(C,D) & v1_tops_2(F,A) & m1_setfam_1(F,u1_struct_0(A)) & r1_setfam_1(F,k1_funct_1(B,D)) & v1_pcomps_1(F,A) ) ) ) ) ) )).
fof(s1_funct_2__e12_37__jgraph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(k4_topmetr(A,B))) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D,A),C),k2_xcmplx_0(k3_xcmplx_0(D,B),C)))) & ! [G] : ( v1_xreal_0(G) => ( E = G => F = k2_xcmplx_0(k3_xcmplx_0(D,G),C) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D,A),C),k2_xcmplx_0(k3_xcmplx_0(D,B),C)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D,A),C),k2_xcmplx_0(k3_xcmplx_0(D,B),C)))))) & ! [F] : ( r2_hidden(F,u1_struct_0(k4_topmetr(A,B))) => ! [H] : ( v1_xreal_0(H) => ( F = H => k1_funct_1(E,F) = k2_xcmplx_0(k3_xcmplx_0(D,H),C) ) ) ) ) ) ) )).
fof(s1_funct_2__e12_38__jgraph_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(k4_topmetr(A,B))) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D,B),C),k2_xcmplx_0(k3_xcmplx_0(D,A),C)))) & ! [G] : ( v1_xreal_0(G) => ( E = G => F = k2_xcmplx_0(k3_xcmplx_0(D,G),C) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D,B),C),k2_xcmplx_0(k3_xcmplx_0(D,A),C)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k2_xcmplx_0(k3_xcmplx_0(D,B),C),k2_xcmplx_0(k3_xcmplx_0(D,A),C)))))) & ! [F] : ( r2_hidden(F,u1_struct_0(k4_topmetr(A,B))) => ! [H] : ( v1_xreal_0(H) => ( F = H => k1_funct_1(E,F) = k2_xcmplx_0(k3_xcmplx_0(D,H),C) ) ) ) ) ) ) )).
fof(s1_funct_2__e12_59__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_finset_1(B) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,k4_card_1(D),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(D),D))) ) => ( ! [F] : ~ ( r2_hidden(F,k4_card_1(D)) & ! [G] : ~ ( r2_hidden(G,k1_card_fin(k6_subset_1(B,k1_tarski(C)),A,1,k5_numbers)) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & H = k1_funct_1(E,F) & r2_tarski(H,D) & G = k5_relat_1(H,k6_subset_1(B,k1_tarski(C))) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_card_1(D),k1_card_fin(k6_subset_1(B,k1_tarski(C)),A,1,k5_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(D),k1_card_fin(k6_subset_1(B,k1_tarski(C)),A,1,k5_numbers)))) & ! [G] : ( r2_hidden(G,k4_card_1(D)) => ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & I = k1_funct_1(E,G) & r2_tarski(I,D) & k1_funct_1(F,G) = k5_relat_1(I,k6_subset_1(B,k1_tarski(C))) ) ) ) ) ) )).
fof(s1_funct_2__e12_5_1_2__topgen_6,axiom,( ! [A] : ! [B] : ( ( m1_pre_topc(A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,u1_struct_0(A)) & ! [D] : ~ ( r2_hidden(D,B) & ? [E] : ( E = D & r2_hidden(C,E) & r2_hidden(D,B) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) & ! [D] : ( r2_hidden(D,u1_struct_0(A)) => ? [F] : ( F = k1_funct_1(C,D) & r2_hidden(D,F) & r2_hidden(k1_funct_1(C,D),B) ) ) ) ) ) )).
fof(s1_funct_2__e12_66_2__zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(C,A,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ~ ( r2_hidden(F,k4_numbers) & ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,D) & F = k1_funct_1(C,E) ) & ~ ( ~ r2_hidden(E,D) & F = k5_numbers ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ~ ( m1_subset_1(F,u1_struct_0(A)) & ~ ( r2_hidden(F,D) & k1_funct_1(E,F) = k1_funct_1(C,F) ) & ~ ( ~ r2_hidden(F,D) & k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e13_35__topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( F = D & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,C,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( E = k2_relset_1(k9_setfam_1(u1_struct_0(A)),G) & v1_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(A)),G),A) & m1_setfam_1(k2_relset_1(k9_setfam_1(u1_struct_0(A)),G),F) & ! [H] : ( r2_tarski(H,C) => r1_tarski(k1_funct_1(G,H),H) ) & ! [H] : ! [I] : ( ( r2_tarski(H,C) & r2_tarski(I,C) ) => ( H = I | r1_xboole_0(k1_funct_1(G,H),k1_funct_1(G,I)) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))))) & ! [E] : ( r2_hidden(E,B) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ~ ( J = E & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,C,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( k1_funct_1(D,E) = k2_relset_1(k9_setfam_1(u1_struct_0(A)),K) & v1_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(A)),K),A) & m1_setfam_1(k2_relset_1(k9_setfam_1(u1_struct_0(A)),K),J) & ! [L] : ( r2_tarski(L,C) => r1_tarski(k1_funct_1(K,L),L) ) & ! [L] : ! [M] : ( ( r2_tarski(L,C) & r2_tarski(M,C) ) => ( L = M | r1_xboole_0(k1_funct_1(K,L),k1_funct_1(K,M)) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e13_36__zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ~ ( r2_hidden(F,k4_numbers) & ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,C) & F = k1_funct_1(D,E) ) & ~ ( ~ r2_hidden(E,C) & F = k5_numbers ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ~ ( m1_subset_1(F,u1_struct_0(A)) & ~ ( r2_hidden(F,C) & k1_funct_1(E,F) = k1_funct_1(D,F) ) & ~ ( ~ r2_hidden(F,C) & k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e13_93__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(k7_real_ns1(A))) & ! [E] : ~ ( r2_hidden(E,k1_numbers) & ( r2_hidden(D,C) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,A) & D = k6_euclid_7(A,F) ) => E = k22_rvsum_1(B,k6_euclid_7(A,F)) ) ) ) & ( ~ r2_hidden(D,C) => E = k5_numbers ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k7_real_ns1(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_real_ns1(A)),k1_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(k7_real_ns1(A))) => ( ( r2_hidden(E,C) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,A) & E = k6_euclid_7(A,G) ) => k1_funct_1(D,E) = k22_rvsum_1(B,k6_euclid_7(A,G)) ) ) ) & ( ~ r2_hidden(E,C) => k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e14_20_2_1__topmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,B) & ? [F] : ? [G] : ( F = D & G = E & r1_tarski(F,G) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,B))) & ! [E] : ( r2_hidden(E,C) => ? [H] : ? [I] : ( H = E & I = k1_funct_1(D,E) & r1_tarski(H,I) ) ) ) ) ) )).
fof(s1_funct_2__e14_24_1__kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_kolmog01(D,B,A,C) & m1_subset_1(E,k1_zfmisc_1(A)) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ( ! [G] : ~ ( r2_hidden(G,F) & ! [H] : ~ ( r2_hidden(H,C) & H = E & r2_hidden(H,k1_funct_1(D,G)) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,F,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(F,C))) & ! [H] : ( r2_hidden(H,F) => ( k1_funct_1(G,H) = E & r2_hidden(k1_funct_1(G,H),k1_funct_1(D,H)) ) ) ) ) ) )).
fof(s1_funct_2__e14_43__mfold_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,u1_struct_0(k15_euclid(A))) & m1_pre_topc(C,k15_euclid(A)) ) => ( ! [D] : ~ ( r2_hidden(D,k2_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))))) & ! [E] : ~ ( r2_hidden(E,k2_struct_0(C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( ( F = D & r1_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))),F) ) => E = k1_rlvect_1(k15_euclid(A),k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),F,2),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(k22_rvsum_1(F,F),1))),k7_xcmplx_0(1,k2_xcmplx_0(k22_rvsum_1(F,F),1))) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A)))),k2_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A)))),k2_struct_0(C)))) & ! [E] : ( r2_hidden(E,k2_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) => ( ( G = E & r1_struct_0(k3_mfold_2(A,B,k4_struct_0(k15_euclid(A))),G) ) => k1_funct_1(D,E) = k1_rlvect_1(k15_euclid(A),k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),G,2),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(k22_rvsum_1(G,G),1))),k7_xcmplx_0(1,k2_xcmplx_0(k22_rvsum_1(G,G),1))) ) ) ) ) ) ) )).
fof(s1_funct_2__e14_92__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) & ! [E] : ~ ( r2_hidden(E,k1_numbers) & ( r2_hidden(D,C) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,A) & D = k6_euclid_7(A,F) ) => E = k22_rvsum_1(B,k6_euclid_7(A,F)) ) ) ) & ( ~ r2_hidden(D,C) => E = k5_numbers ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k10_funcsdom(k2_finseq_1(A))),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))),k1_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) => ( ( r2_hidden(E,C) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,A) & E = k6_euclid_7(A,G) ) => k1_funct_1(D,E) = k22_rvsum_1(B,k6_euclid_7(A,G)) ) ) ) & ( ~ r2_hidden(E,C) => k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e15_25__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A))))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( k1_funct_1(k1_nagata_2,k4_tarski(E,F)) = C => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( G = k8_nat_1(k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))),B,E) => D = k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),G,F) ) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( k1_funct_1(k1_nagata_2,k4_tarski(H,I)) = D => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( J = k8_nat_1(k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))),B,H) => k1_funct_1(C,D) = k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),J,I) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e15_31__matrtop2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & v1_rlaffin1(D,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(E,u1_struct_0(k15_euclid(A))) ) => ( ! [F] : ~ ( r2_hidden(F,u1_struct_0(k15_euclid(B))) & ! [G] : ~ ( r2_hidden(G,k1_numbers) & ( ~ r2_hidden(F,k2_relset_1(u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C))) => G = k5_numbers ) & ( r2_hidden(F,k2_relset_1(u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C))) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v3_card_1(H,A) & v1_finseq_1(H) & v3_valued_0(H) ) => ( k1_funct_1(k3_matrtop1(A,B,C),H) = F => G = k1_funct_1(k5_rlaffin1(k15_euclid(A),D,E),H) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k15_euclid(B)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)),k1_numbers))) & ! [G] : ( r2_hidden(G,u1_struct_0(k15_euclid(B))) => ( ( ~ r2_hidden(G,k2_relset_1(u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C))) => k1_funct_1(F,G) = k5_numbers ) & ( r2_hidden(G,k2_relset_1(u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C))) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v3_card_1(I,A) & v1_finseq_1(I) & v3_valued_0(I) ) => ( k1_funct_1(k3_matrtop1(A,B,C),I) = G => k1_funct_1(F,G) = k1_funct_1(k5_rlaffin1(k15_euclid(A),D,E),I) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e15_5_3__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m2_subset_1(D,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u4_struct_0(A)) ) => ( ! [G] : ~ ( r2_hidden(G,k4_finseq_1(k1_msualg_1(A,F))) & ! [H] : ~ ( r2_hidden(H,k1_msaterm(A,B)) & ( ( k1_funct_1(k1_msualg_1(A,F),G) = E & k7_msaterm(A,B,D) = E ) => H = D ) & ( ~ ( k1_funct_1(k1_msualg_1(A,F),G) = E & k7_msaterm(A,B,D) = E ) => H = k1_trees_4(k4_tarski(k1_funct_1(C,k1_funct_1(k1_msualg_1(A,F),G)),k1_funct_1(k1_msualg_1(A,F),G))) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_finseq_1(k1_msualg_1(A,F)),k1_msaterm(A,B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k1_msualg_1(A,F)),k1_msaterm(A,B)))) & ! [H] : ( r2_hidden(H,k4_finseq_1(k1_msualg_1(A,F))) => ( ( ( k1_funct_1(k1_msualg_1(A,F),H) = E & k7_msaterm(A,B,D) = E ) => k1_funct_1(G,H) = D ) & ( ~ ( k1_funct_1(k1_msualg_1(A,F),H) = E & k7_msaterm(A,B,D) = E ) => k1_funct_1(G,H) = k1_trees_4(k4_tarski(k1_funct_1(C,k1_funct_1(k1_msualg_1(A,F),H)),k1_funct_1(k1_msualg_1(A,F),H))) ) ) ) ) ) ) )).
fof(s1_funct_2__e16_23_1_1__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(u1_struct_0(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,u1_struct_0(k2_borsuk_1(A,A))) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(u1_struct_0(k2_borsuk_1(A,A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( C = k1_domain_1(u1_struct_0(A),u1_struct_0(A),E,F) => D = k3_borsuk_1(A,A,k3_funct_2(u1_struct_0(A),k9_setfam_1(u1_struct_0(A)),B,E),k3_funct_2(u1_struct_0(A),k9_setfam_1(u1_struct_0(A)),B,F)) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,A)),k9_setfam_1(u1_struct_0(k2_borsuk_1(A,A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k9_setfam_1(u1_struct_0(k2_borsuk_1(A,A)))))) & ! [D] : ( r2_hidden(D,u1_struct_0(k2_borsuk_1(A,A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( D = k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,H) => k1_funct_1(C,D) = k3_borsuk_1(A,A,k3_funct_2(u1_struct_0(A),k9_setfam_1(u1_struct_0(A)),B,G),k3_funct_2(u1_struct_0(A),k9_setfam_1(u1_struct_0(A)),B,H)) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e16_5_1_2__topgen_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_pre_topc(A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,a_0_2_topgen_6) & ? [F] : ( F = E & r2_hidden(E,a_0_2_topgen_6) & r2_hidden(D,F) & r1_tarski(k9_subset_1(u1_struct_0(A),F,k2_struct_0(A)),k1_funct_1(C,D)) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),a_0_2_topgen_6) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),a_0_2_topgen_6))) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(k1_funct_1(D,E),a_0_2_topgen_6) & r2_hidden(E,G) & r1_tarski(k9_subset_1(u1_struct_0(A),G,k2_struct_0(A)),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(s1_funct_2__e18_27__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [E] : ~ ( r2_hidden(E,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,C)) & ! [F] : ~ ( r2_hidden(F,B) & ? [G] : ( G = E & k1_tarski(F) = k9_subset_1(u1_struct_0(A),G,B) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,C),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,C),B))) & ! [F] : ( r2_hidden(F,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,C)) => ? [H] : ( H = F & k1_tarski(k1_funct_1(E,F)) = k9_subset_1(u1_struct_0(A),H,B) ) ) ) ) ) )).
fof(s1_funct_2__e18_59__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_vectsp_6(D,A,C) & m2_finseq_1(E,u1_struct_0(C)) & m2_finseq_1(F,u1_struct_0(B)) ) => ( ! [G] : ~ ( r2_hidden(G,u1_struct_0(B)) & ! [H] : ~ ( r2_hidden(H,u1_struct_0(A)) & ( r2_hidden(G,k10_xtuple_0(F)) => ! [I] : ( ( r2_tarski(I,k4_finseq_1(E)) & k1_funct_1(F,I) = G ) => H = k1_funct_1(D,k1_funct_1(E,I)) ) ) & ( ~ r2_hidden(G,k10_xtuple_0(F)) => H = k4_struct_0(A) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [H] : ( r2_hidden(H,u1_struct_0(B)) => ( ( r2_hidden(H,k10_xtuple_0(F)) => ! [J] : ( ( r2_tarski(J,k4_finseq_1(E)) & k1_funct_1(F,J) = H ) => k1_funct_1(G,H) = k1_funct_1(D,k1_funct_1(E,J)) ) ) & ( ~ r2_hidden(H,k10_xtuple_0(F)) => k1_funct_1(G,H) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s1_funct_2__e21_15__lagra4sq,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k1_relset_1(k4_numbers,k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))))) & ! [D] : ~ ( r2_hidden(D,k2_relset_1(k6_ordinal1(A),k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))))) & ? [E] : ( m1_subset_1(E,k4_numbers) & r2_hidden(C,k1_relset_1(k4_numbers,k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))))) & D = E & k1_funct_1(k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))),C) = E ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_relset_1(k4_numbers,k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B))))),k2_relset_1(k6_ordinal1(A),k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_numbers,k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B))))),k2_relset_1(k6_ordinal1(A),k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))))))) & ! [D] : ( r2_hidden(D,k1_relset_1(k4_numbers,k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))))) => ? [F] : ( m1_subset_1(F,k4_numbers) & r2_hidden(D,k1_relset_1(k4_numbers,k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))))) & k1_funct_1(C,D) = F & k1_funct_1(k2_partfun1(k4_numbers,k6_ordinal1(A),k1_lagra4sq(A),k2_relset_1(k4_numbers,k8_finseq_1(k4_numbers,k3_lagra4sq(B),k2_lagra4sq(B)))),D) = F ) ) ) ) ) )).
fof(s1_funct_2__e21_65_2__zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(C,A,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ~ ( r2_hidden(F,k4_numbers) & ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,D) & F = k1_funct_1(C,E) ) & ~ ( ~ r2_hidden(E,D) & F = k5_numbers ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ~ ( m1_subset_1(F,u1_struct_0(A)) & ~ ( r2_hidden(F,D) & k1_funct_1(E,F) = k1_funct_1(C,F) ) & ~ ( ~ r2_hidden(F,D) & k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e22_66_2__zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(C,A,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ~ ( r2_hidden(F,k4_numbers) & ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,D) & F = k1_funct_1(C,E) ) & ~ ( ~ r2_hidden(E,D) & F = k5_numbers ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ~ ( m1_subset_1(F,u1_struct_0(A)) & ~ ( r2_hidden(F,D) & k1_funct_1(E,F) = k1_funct_1(C,F) ) & ~ ( ~ r2_hidden(F,D) & k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e22_86__algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( ! [F] : ~ ( r2_hidden(F,E) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(B)) & ! [H] : ( m1_subset_1(H,u1_struct_0(k14_algstr_4(A))) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k11_algstr_4(A,k2_xfamily(H)),u1_struct_0(B)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,k2_xfamily(H)),u1_struct_0(B)))) ) => ( ( H = F & I = k8_nat_1(C,D,k2_xfamily(H)) ) => G = k1_funct_1(I,k1_xfamily(H)) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,u1_struct_0(B)))) & ! [G] : ( r2_hidden(G,E) => ! [J] : ( m1_subset_1(J,u1_struct_0(k14_algstr_4(A))) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k11_algstr_4(A,k2_xfamily(J)),u1_struct_0(B)) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,k2_xfamily(J)),u1_struct_0(B)))) ) => ( ( J = G & K = k8_nat_1(C,D,k2_xfamily(J)) ) => k1_funct_1(F,G) = k1_funct_1(K,k1_xfamily(J)) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e24_21_1_1_1_2__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_finset_1(C) & v1_finset_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,D) & ? [G] : ( G = E & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,G) => ( H = A | ( ( H != B => F = k2_tarski(B,H) ) & ( H = B => F = k2_tarski(A,B) ) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,D))) & ! [F] : ( r2_hidden(F,C) => ? [I] : ( I = F & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,I) => ( J = A | ( ( J != B => k1_funct_1(E,F) = k2_tarski(B,J) ) & ( J = B => k1_funct_1(E,F) = k2_tarski(A,B) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e24_37__jgraph_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ! [C] : ~ ( r2_hidden(C,u1_struct_0(k3_topmetr)) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(k3_topmetr)) & ! [E] : ( v1_xreal_0(E) => ( E = C => D = k2_xcmplx_0(k3_xcmplx_0(B,E),A) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) & ! [D] : ( r2_hidden(D,u1_struct_0(k3_topmetr)) => ! [F] : ( v1_xreal_0(F) => ( F = D => k1_funct_1(C,D) = k2_xcmplx_0(k3_xcmplx_0(B,F),A) ) ) ) ) ) ) )).
fof(s1_funct_2__e24_38__jgraph_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ! [C] : ~ ( r2_hidden(C,u1_struct_0(k3_topmetr)) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(k3_topmetr)) & ! [E] : ( v1_xreal_0(E) => ( E = C => D = k2_xcmplx_0(k3_xcmplx_0(B,E),A) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) & ! [D] : ( r2_hidden(D,u1_struct_0(k3_topmetr)) => ! [F] : ( v1_xreal_0(F) => ( F = D => k1_funct_1(C,D) = k2_xcmplx_0(k3_xcmplx_0(B,F),A) ) ) ) ) ) ) )).
fof(s1_funct_2__e25_106_1_2__rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( v3_pre_topc(H,A) & m1_connsp_2(H,A,k4_struct_0(A)) & E = k5_rusub_4(A,H,G) & r2_tarski(k5_rusub_4(A,H,G),C) & r2_tarski(k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),G,H),k10_xtuple_0(B)) & F = H ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,D))) & ! [F] : ( r2_hidden(F,C) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( v3_pre_topc(J,A) & m1_connsp_2(J,A,k4_struct_0(A)) & F = k5_rusub_4(A,J,I) & r2_tarski(k5_rusub_4(A,J,I),C) & r2_tarski(k1_domain_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),I,J),k10_xtuple_0(B)) & k1_funct_1(E,F) = J ) ) ) ) ) ) )).
fof(s1_funct_2__e25_12_1_1__ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(D) & v1_funct_2(D,k3_group_10(C,k1_nat_1(A,1)),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(C,k1_nat_1(A,1)),B))) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,E))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ! [H] : ~ ( r2_hidden(H,k4_ordinal1) & ! [I] : ~ ( r2_hidden(I,B) & ! [J] : ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,K),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,K))),A),B) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,K),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,K))),A),B))) ) => ~ ( K = H & J = a_2_0_ramsey_1(G,K) & ! [M] : ( m1_subset_1(M,k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,K),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,K))),A)) => k1_funct_1(L,M) = k1_funct_1(D,k2_xboole_0(M,k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,K)))) ) & ! [M] : ( v7_ordinal1(M) => ~ ( M = I & r2_tarski(M,B) & k10_xtuple_0(k2_partfun1(k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,K),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,K))),A),B,L,k3_group_10(J,A))) = k1_tarski(M) ) ) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [I] : ( r2_hidden(I,k4_ordinal1) => ! [N] : ! [O] : ( m1_subset_1(O,k4_ordinal1) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,O),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,O))),A),B) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,O),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,O))),A),B))) ) => ~ ( O = I & N = a_2_0_ramsey_1(G,O) & ! [Q] : ( m1_subset_1(Q,k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,O),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,O))),A)) => k1_funct_1(P,Q) = k1_funct_1(D,k2_xboole_0(Q,k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,O)))) ) & ! [Q] : ( v7_ordinal1(Q) => ~ ( Q = k1_funct_1(H,I) & r2_tarski(Q,B) & k10_xtuple_0(k2_partfun1(k3_group_10(k6_subset_1(k3_funct_2(k4_ordinal1,E,F,O),k1_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,G,O))),A),B,P,k3_group_10(N,A))) = k1_tarski(Q) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e25_41__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m2_rlaffin3(C,k15_euclid(A),B) & m2_finseq_1(D,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))))) & v7_ordinal1(E) ) => ( ! [F] : ~ ( r2_hidden(F,k4_simplex0(k5_simplex1(E,k15_euclid(A),k5_simplex0(u1_struct_0(k15_euclid(A)),k6_domain_1(k1_zfmisc_1(u1_struct_0(k15_euclid(A))),B))))) & ! [G] : ~ ( r2_hidden(G,B) & r2_hidden(F,k1_funct_1(D,k1_funct_1(k2_funct_1(C),G))) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( r1_tarski(H,B) & r2_hidden(F,k3_convex1(k15_euclid(A),H)) ) => r2_hidden(G,H) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_simplex0(k5_simplex1(E,k15_euclid(A),k5_simplex0(u1_struct_0(k15_euclid(A)),k6_domain_1(k1_zfmisc_1(u1_struct_0(k15_euclid(A))),B)))),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(E,k15_euclid(A),k5_simplex0(u1_struct_0(k15_euclid(A)),k6_domain_1(k1_zfmisc_1(u1_struct_0(k15_euclid(A))),B)))),B))) & ! [G] : ( r2_hidden(G,k4_simplex0(k5_simplex1(E,k15_euclid(A),k5_simplex0(u1_struct_0(k15_euclid(A)),k6_domain_1(k1_zfmisc_1(u1_struct_0(k15_euclid(A))),B))))) => ( r2_hidden(G,k1_funct_1(D,k1_funct_1(k2_funct_1(C),k1_funct_1(F,G)))) & ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( r1_tarski(I,B) & r2_hidden(G,k3_convex1(k15_euclid(A),I)) ) => r2_hidden(k1_funct_1(F,G),I) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e29_34__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_relat_1(D) & v1_funct_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k9_xtuple_0(D)) & ! [F] : ~ ( r2_hidden(F,C) & ? [G] : ( v3_pre_topc(G,A) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( ~ v1_xboole_0(H) & v3_pre_topc(H,k5_topmetr) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k5_topmetr))) & r2_tarski(B,G) & k1_funct_1(D,E) = k3_borsuk_1(A,k5_topmetr,G,H) & F = G ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_xtuple_0(D),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(D),C))) & ! [F] : ( r2_hidden(F,k9_xtuple_0(D)) => ? [I] : ( v3_pre_topc(I,A) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( ~ v1_xboole_0(J) & v3_pre_topc(J,k5_topmetr) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k5_topmetr))) & r2_tarski(B,I) & k1_funct_1(D,F) = k3_borsuk_1(A,k5_topmetr,I,J) & k1_funct_1(E,F) = I ) ) ) ) ) ) )).
fof(s1_funct_2__e2_12__matrtop1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k10_xtuple_0(A)) & ! [C] : ~ ( r2_hidden(C,k9_xtuple_0(A)) & k1_funct_1(A,C) = B ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k10_xtuple_0(A),k9_xtuple_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k10_xtuple_0(A),k9_xtuple_0(A)))) & ! [C] : ( r2_hidden(C,k10_xtuple_0(A)) => k1_funct_1(A,k1_funct_1(B,C)) = C ) ) ) ) )).
fof(s1_funct_2__e2_12__petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( ! [E] : ~ ( r2_hidden(E,k2_petri_2(B,D)) & ! [F] : ~ ( r2_hidden(F,k2_petri_2(A,C)) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(D)) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(C)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,H,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(H,A))) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,G,B) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(G,B))) & v1_finset_1(H) & v1_finset_1(G) & H = k8_subset_1(D,k9_subset_1(D,C,G),k8_relat_1(J,A)) & I = k2_partfun1(G,B,J,H) & E = k1_petri_2(B,D,G,J) & F = k1_petri_2(A,C,H,I) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_petri_2(B,D),k2_petri_2(A,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(B,D),k2_petri_2(A,C)))) & ! [F] : ( r2_hidden(F,k2_petri_2(B,D)) => ? [K] : ( m1_subset_1(K,k1_zfmisc_1(D)) & ? [L] : ( m1_subset_1(L,k1_zfmisc_1(C)) & ? [M] : ( v1_funct_1(M) & v1_funct_2(M,L,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(L,A))) & ? [N] : ( v1_funct_1(N) & v1_funct_2(N,K,B) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(K,B))) & v1_finset_1(L) & v1_finset_1(K) & L = k8_subset_1(D,k9_subset_1(D,C,K),k8_relat_1(N,A)) & M = k2_partfun1(K,B,N,L) & F = k1_petri_2(B,D,K,N) & k1_funct_1(E,F) = k1_petri_2(A,C,L,M) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_13_1__topgen_6,axiom,( ! [A] : ~ ( r2_hidden(A,k1_numbers) & ! [B] : ~ ( r2_hidden(B,k2_topgen_6) & ? [C] : ( v1_xreal_0(C) & A = C & B = k4_tarski(C,k4_xcmplx_0(C)) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k2_topgen_6) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_topgen_6))) & ! [B] : ( r2_hidden(B,k1_numbers) => ? [D] : ( v1_xreal_0(D) & B = D & k1_funct_1(A,B) = k4_tarski(D,k4_xcmplx_0(D)) ) ) ) )).
fof(s1_funct_2__e2_13__measure4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ( r2_hidden(F,B) & ( r2_hidden(E,k4_ordinal1) => F = k8_subset_1(A,D,k1_funct_1(C,E)) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => ( r2_hidden(F,k4_ordinal1) => k1_funct_1(E,F) = k8_subset_1(A,D,k1_funct_1(C,F)) ) ) ) ) ) )).
fof(s1_funct_2__e2_14_1_1_6__measure4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_measure4(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ( r2_hidden(F,k6_numbers) & ( E = k5_numbers => F = k4_supinf_2(k12_supinf_2(B,k4_subset_1(A,D,C)),k12_supinf_2(B,D)) ) & ( E != k5_numbers => F = k1_supinf_2 ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => ( ( F = k5_numbers => k1_funct_1(E,F) = k4_supinf_2(k12_supinf_2(B,k4_subset_1(A,D,C)),k12_supinf_2(B,D)) ) & ( F != k5_numbers => k1_funct_1(E,F) = k1_supinf_2 ) ) ) ) ) ) )).
fof(s1_funct_2__e2_14__random_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ( ! [D] : ~ ( r2_hidden(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ! [E] : ~ ( r2_hidden(E,k1_numbers) & ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & D = F & E = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,F,C) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)),k1_numbers))) & ! [E] : ( r2_hidden(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) & E = G & k1_funct_1(D,E) = k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,G,C) ) ) ) ) ) )).
fof(s1_funct_2__e2_17__fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ! [B] : ~ ( r2_hidden(B,u1_struct_0(k3_fintopo5(A,1))) & ! [C] : ~ ( r2_hidden(C,u1_struct_0(k2_fintopo4(A))) & k4_tarski(C,1) = B ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))))) & ! [C] : ( r2_hidden(C,u1_struct_0(k3_fintopo5(A,1))) => k4_tarski(k1_funct_1(B,C),1) = C ) ) ) ) )).
fof(s1_funct_2__e2_1__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( ! [D] : ~ ( r2_hidden(D,k9_funct_2(A,k9_funct_2(B,C))) & ! [E] : ~ ( r2_hidden(E,k9_funct_2(k2_zfmisc_1(A,B),C)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,k9_funct_2(B,C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & D = F & E = G & ! [H] : ! [I] : ( ( r2_hidden(H,A) & r2_hidden(I,B) ) => k1_binop_1(G,H,I) = k1_funct_1(k1_funct_1(F,H),I) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_funct_2(A,k9_funct_2(B,C)),k9_funct_2(k2_zfmisc_1(A,B),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k9_funct_2(B,C)),k9_funct_2(k2_zfmisc_1(A,B),C)))) & ! [E] : ( r2_hidden(E,k9_funct_2(A,k9_funct_2(B,C))) => ? [J] : ( v1_funct_1(J) & v1_funct_2(J,A,k9_funct_2(B,C)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k2_zfmisc_1(A,B),C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & E = J & k1_funct_1(D,E) = K & ! [L] : ! [M] : ( ( r2_hidden(L,A) & r2_hidden(M,B) ) => k1_binop_1(K,L,M) = k1_funct_1(k1_funct_1(J,L),M) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_23__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(u1_struct_0(A))) & ! [E] : ( v7_ordinal1(E) => ~ ( E = C & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ~ ( F = a_3_0_compl_sp(A,B,E) & D = k2_pre_topc(k3_pcomps_1(A),F) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ! [G] : ( v7_ordinal1(G) => ~ ( G = D & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ~ ( H = a_3_0_compl_sp(A,B,G) & k1_funct_1(C,D) = k2_pre_topc(k3_pcomps_1(A),H) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_23__fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ! [B] : ~ ( r2_hidden(B,u1_struct_0(k5_fintopo5(A,1))) & ! [C] : ~ ( r2_hidden(C,u1_struct_0(k2_fintopo4(A))) & k4_tarski(C,1) = B ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))))) & ! [C] : ( r2_hidden(C,u1_struct_0(k5_fintopo5(A,1))) => k4_tarski(k1_funct_1(B,C),1) = C ) ) ) ) )).
fof(s1_funct_2__e2_24__t_0topsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(k3_t_0topsp(A))) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ? [F] : ( F = D & r2_hidden(E,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)))) & ! [E] : ( r2_hidden(E,u1_struct_0(k3_t_0topsp(A))) => ? [G] : ( G = E & r2_hidden(k1_funct_1(D,E),k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,G)) ) ) ) ) ) )).
fof(s1_funct_2__e2_29__matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,k2_numbers) & ( r2_hidden(B,k2_finseq_1(k3_finseq_1(A))) => C = k1_funct_1(A,B) ) & ( ~ r2_hidden(B,k2_finseq_1(k3_finseq_1(A))) => C = k5_numbers ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ( ( r2_hidden(C,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(B,C) = k1_funct_1(A,C) ) & ( ~ r2_hidden(C,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(B,C) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e2_29__matroid0,axiom,( ! [A] : ! [B] : ( ( v4_taxonom2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_matroid0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,A) & ? [E] : ( E = D & r2_hidden(C,E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & ! [D] : ( r2_hidden(D,B) => ? [F] : ( F = k1_funct_1(C,D) & r2_hidden(D,F) ) ) ) ) ) )).
fof(s1_funct_2__e2_2__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( ! [D] : ~ ( r2_hidden(D,k9_funct_2(A,k9_funct_2(B,C))) & ! [E] : ~ ( r2_hidden(E,k9_funct_2(k2_zfmisc_1(B,A),C)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,k9_funct_2(B,C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(B,A),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) & D = F & E = G & ! [H] : ! [I] : ( ( r2_hidden(H,B) & r2_hidden(I,A) ) => k1_binop_1(G,H,I) = k1_funct_1(k1_funct_1(F,I),H) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_funct_2(A,k9_funct_2(B,C)),k9_funct_2(k2_zfmisc_1(B,A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k9_funct_2(B,C)),k9_funct_2(k2_zfmisc_1(B,A),C)))) & ! [E] : ( r2_hidden(E,k9_funct_2(A,k9_funct_2(B,C))) => ? [J] : ( v1_funct_1(J) & v1_funct_2(J,A,k9_funct_2(B,C)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k2_zfmisc_1(B,A),C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) & E = J & k1_funct_1(D,E) = K & ! [L] : ! [M] : ( ( r2_hidden(L,B) & r2_hidden(M,A) ) => k1_binop_1(K,L,M) = k1_funct_1(k1_funct_1(J,M),L) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_30__ballot_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_catalan2(k2_xcmplx_0(A,B),B)) & ! [D] : ~ ( r2_hidden(D,k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)) & ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_ordinal1) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ( E = C => D = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,k5_numbers),k10_afinsq_1(k4_ordinal1,E)) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_catalan2(k2_xcmplx_0(A,B),B),k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_catalan2(k2_xcmplx_0(A,B),B),k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)))) & ! [D] : ( r2_hidden(D,k2_catalan2(k2_xcmplx_0(A,B),B)) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_ordinal1) & v5_ordinal1(F) & v1_funct_1(F) & v1_finset_1(F) ) => ( F = D => k1_funct_1(C,D) = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,k5_numbers),k10_afinsq_1(k4_ordinal1,F)) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_31__ballot_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_catalan2(k2_xcmplx_0(A,B),B)) & ! [D] : ~ ( r2_hidden(D,k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)) & ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_ordinal1) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ( E = C => D = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,k5_numbers),k10_afinsq_1(k4_ordinal1,E)) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_catalan2(k2_xcmplx_0(A,B),B),k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_catalan2(k2_xcmplx_0(A,B),B),k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)))) & ! [D] : ( r2_hidden(D,k2_catalan2(k2_xcmplx_0(A,B),B)) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_ordinal1) & v5_ordinal1(F) & v1_funct_1(F) & v1_finset_1(F) ) => ( F = D => k1_funct_1(C,D) = k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,k5_numbers),k10_afinsq_1(k4_ordinal1,F)) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_34__isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,k9_nattra_1(B,C)) ) => ( ! [E] : ~ ( r2_hidden(E,u4_struct_0(k6_cat_2(A,B))) & ! [F] : ~ ( r2_hidden(F,u4_struct_0(C)) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_subset_1(H,u4_struct_0(B)) => ( E = k8_cat_2(A,B,G,H) => ! [I] : ( m2_cat_1(I,B,C) => ! [J] : ( m2_cat_1(J,B,C) => ! [K] : ( m2_nattra_1(K,B,C,I,J) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(k9_nattra_1(B,C)),D,G) = k4_tarski(k4_tarski(I,J),K) => F = k1_cat_1(C,k3_funct_2(u4_struct_0(B),u4_struct_0(C),I,H),k2_nattra_1(B,C,I,J,K,k4_graph_1(B,H))) ) ) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u4_struct_0(k6_cat_2(A,B)),u4_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(k6_cat_2(A,B)),u4_struct_0(C)))) & ! [F] : ( r2_hidden(F,u4_struct_0(k6_cat_2(A,B))) => ! [L] : ( m1_subset_1(L,u4_struct_0(A)) => ! [M] : ( m1_subset_1(M,u4_struct_0(B)) => ( F = k8_cat_2(A,B,L,M) => ! [N] : ( m2_cat_1(N,B,C) => ! [O] : ( m2_cat_1(O,B,C) => ! [P] : ( m2_nattra_1(P,B,C,N,O) => ( k3_funct_2(u4_struct_0(A),u4_struct_0(k9_nattra_1(B,C)),D,L) = k4_tarski(k4_tarski(N,O),P) => k1_funct_1(E,F) = k1_cat_1(C,k3_funct_2(u4_struct_0(B),u4_struct_0(C),N,M),k2_nattra_1(B,C,N,O,P,k4_graph_1(B,M))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_3__jordan2b,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k1_euclid(B)) & ! [D] : ~ ( r2_hidden(D,k1_numbers) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) => ( C = E => D = k7_partfun1(k1_numbers,E,A) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_numbers))) & ! [D] : ( r2_hidden(D,k1_euclid(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) => ( D = F => k1_funct_1(C,D) = k7_partfun1(k1_numbers,F,A) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_40__borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) ) => ( ! [E] : ~ ( r2_hidden(E,k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr))) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(A)) & F = k1_funct_1(D,k1_xtuple_0(E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)),u1_struct_0(A)))) & ! [F] : ( r2_hidden(F,k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr))) => k1_funct_1(E,F) = k1_funct_1(D,k1_xtuple_0(F)) ) ) ) ) )).
fof(s1_funct_2__e2_46__measure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k6_numbers) & m1_subset_1(D,k6_numbers) ) => ( ! [E] : ~ ( r2_hidden(E,B) & ! [F] : ~ ( r2_hidden(F,k6_numbers) & ( E = k1_xboole_0 => F = C ) & ( E != k1_xboole_0 => F = D ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,B,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & ! [F] : ( r2_hidden(F,B) => ( ( F = k1_xboole_0 => k1_funct_1(E,F) = C ) & ( F != k1_xboole_0 => k1_funct_1(E,F) = D ) ) ) ) ) ) )).
fof(s1_funct_2__e2_4_2__bhsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k1_zfmisc_1(B)) & ? [F] : ( F = E & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(F) & r1_tarski(F,B) & ! [G] : ( v1_xreal_0(G) => ( G = D => ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(H) & r1_tarski(H,B) & r1_xboole_0(F,H) & r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(G,1)),k9_complex1(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,H,C))) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(B)))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ? [I] : ( I = k1_funct_1(D,E) & v1_finset_1(k1_funct_1(D,E)) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(I) & r1_tarski(I,B) & ! [J] : ( v1_xreal_0(J) => ( J = E => ! [K] : ( ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(K) & r1_tarski(K,B) & r1_xboole_0(I,K) & r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(J,1)),k9_complex1(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,K,C))) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_50__catalan2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,a_2_1_catalan2(A,B)) & ! [D] : ~ ( r2_hidden(D,k2_catalan2(B,A)) & ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v5_ordinal1(E) & v1_finset_1(E) & C = k1_catalan2(k5_afinsq_1(k5_numbers),E) & D = E ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,a_2_1_catalan2(A,B),k2_catalan2(B,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(a_2_1_catalan2(A,B),k2_catalan2(B,A)))) & ! [D] : ( r2_hidden(D,a_2_1_catalan2(A,B)) => ? [F] : ( v1_relat_1(F) & v5_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) & D = k1_catalan2(k5_afinsq_1(k5_numbers),F) & k1_funct_1(C,D) = F ) ) ) ) ) )).
fof(s1_funct_2__e2_50__dist_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ( ! [C] : ~ ( r2_hidden(C,k1_random_1(A)) & ! [D] : ~ ( r2_hidden(D,k1_numbers) & ? [E] : ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & E = C & r1_funct_2(A,k5_margrel1,A,k2_tarski(k5_ordinal1,1),F,k5_funct_3(E,A)) & D = k6_dist_2(A,B,F) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_random_1(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k1_numbers))) & ! [D] : ( r2_hidden(D,k1_random_1(A)) => ? [G] : ? [H] : ( v1_funct_1(H) & v1_funct_2(H,A,k5_margrel1) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & G = D & r1_funct_2(A,k5_margrel1,A,k2_tarski(k5_ordinal1,1),H,k5_funct_3(G,A)) & k1_funct_1(C,D) = k6_dist_2(A,B,H) ) ) ) ) ) )).
fof(s1_funct_2__e2_57__topdim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(A)) & ! [E] : ( v7_ordinal1(E) => ~ ( E = C & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( F = a_3_0_topdim_1(A,B,E) & D = k7_subset_1(A,k8_nat_1(k9_setfam_1(A),B,E),k5_setfam_1(A,F)) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ! [G] : ( v7_ordinal1(G) => ~ ( G = D & ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( H = a_3_0_topdim_1(A,B,G) & k1_funct_1(C,D) = k7_subset_1(A,k8_nat_1(k9_setfam_1(A),B,G),k5_setfam_1(A,H)) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e2_88__gaussint,axiom,( ! [A] : ~ ( r2_hidden(A,u1_struct_0(k7_gaussint)) & ! [B] : ~ ( r2_hidden(B,u1_struct_0(k14_gaussint)) & ? [C] : ( v1_xcmplx_0(C) & v1_gaussint(C) & ? [D] : ( v1_xcmplx_0(D) & v1_gaussint(D) & ? [E] : ( m2_subset_1(E,k2_zfmisc_1(u1_struct_0(k6_gaussint),u1_struct_0(k6_gaussint)),k1_quofield(k6_gaussint)) & D != k5_numbers & E = k4_tarski(C,D) & A = k10_quofield(k6_gaussint,E) & B = k7_xcmplx_0(C,D) ) ) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k7_gaussint),u1_struct_0(k14_gaussint)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_gaussint),u1_struct_0(k14_gaussint)))) & ! [B] : ( r2_hidden(B,u1_struct_0(k7_gaussint)) => ? [F] : ( v1_xcmplx_0(F) & v1_gaussint(F) & ? [G] : ( v1_xcmplx_0(G) & v1_gaussint(G) & ? [H] : ( m2_subset_1(H,k2_zfmisc_1(u1_struct_0(k6_gaussint),u1_struct_0(k6_gaussint)),k1_quofield(k6_gaussint)) & G != k5_numbers & H = k4_tarski(F,G) & B = k10_quofield(k6_gaussint,H) & k1_funct_1(A,B) = k7_xcmplx_0(F,G) ) ) ) ) ) )).
fof(s1_funct_2__e31_23_1_1__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,A)),k13_finseq_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k13_finseq_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(k2_borsuk_1(A,A))) & ! [E] : ~ ( r2_hidden(E,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & ! [F] : ( m2_finseq_1(F,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) => ( F = k1_funct_1(C,D) => E = k1_finsop_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),F,B) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,A)),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) & ! [E] : ( r2_hidden(E,u1_struct_0(k2_borsuk_1(A,A))) => ! [G] : ( m2_finseq_1(G,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) => ( G = k1_funct_1(C,E) => k1_funct_1(D,E) = k1_finsop_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),G,B) ) ) ) ) ) ) )).
fof(s1_funct_2__e32_8__topgen_6,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topgen_3)))) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,A) & ? [E] : ( E = D & r2_hidden(C,E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & ! [D] : ( r2_hidden(D,B) => ? [F] : ( F = k1_funct_1(C,D) & r2_hidden(D,F) ) ) ) ) ) )).
fof(s1_funct_2__e35_59__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_finset_1(B) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,k4_card_1(D),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(D),D))) ) => ( ! [F] : ~ ( r2_hidden(F,k4_card_1(D)) & ! [G] : ~ ( r2_hidden(G,k1_card_fin(k6_subset_1(B,k1_tarski(C)),k1_nat_1(A,1),1,k5_numbers)) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & H = k1_funct_1(E,F) & r2_tarski(H,D) & G = k5_relat_1(H,k6_subset_1(B,k1_tarski(C))) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_card_1(D),k1_card_fin(k6_subset_1(B,k1_tarski(C)),k1_nat_1(A,1),1,k5_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(D),k1_card_fin(k6_subset_1(B,k1_tarski(C)),k1_nat_1(A,1),1,k5_numbers)))) & ! [G] : ( r2_hidden(G,k4_card_1(D)) => ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & I = k1_funct_1(E,G) & r2_tarski(I,D) & k1_funct_1(F,G) = k5_relat_1(I,k6_subset_1(B,k1_tarski(C))) ) ) ) ) ) )).
fof(s1_funct_2__e35_8__topgen_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topgen_3)))) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,a_0_3_topgen_6) & ? [F] : ( F = E & r1_tarski(F,k1_funct_1(C,D)) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & D = G & E = k3_rcomp_1(G,H) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,a_0_3_topgen_6) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,a_0_3_topgen_6))) & ! [E] : ( r2_hidden(E,B) => ? [I] : ( I = k1_funct_1(D,E) & r1_tarski(I,k1_funct_1(C,E)) & ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & E = J & k1_funct_1(D,E) = k3_rcomp_1(J,K) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e38_8__topgen_6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,a_0_3_topgen_6) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,a_0_3_topgen_6))) ) => ( ! [C] : ~ ( r2_hidden(C,k2_relset_1(a_0_3_topgen_6,B)) & ! [D] : ~ ( r2_hidden(D,k3_numbers) & ? [E] : ( E = C & r2_hidden(D,E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_relset_1(a_0_3_topgen_6,B),k3_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_relset_1(a_0_3_topgen_6,B),k3_numbers))) & ! [D] : ( r2_hidden(D,k2_relset_1(a_0_3_topgen_6,B)) => ? [F] : ( F = D & r2_hidden(k1_funct_1(C,D),F) ) ) ) ) ) )).
fof(s1_funct_2__e3_105__finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,C) & ? [F] : ? [G] : ( F = D & G = E & r1_tarski(F,G) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [E] : ( r2_hidden(E,B) => ? [H] : ? [I] : ( H = E & I = k1_funct_1(D,E) & r1_tarski(H,I) ) ) ) ) ) )).
fof(s1_funct_2__e3_148__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_prvect_1(C,B)))) ) => ( ! [F] : ~ ( r2_hidden(F,E) & ! [G] : ~ ( r2_hidden(G,k2_finseq_1(A)) & ? [H] : ( v7_ordinal1(H) & r2_tarski(H,k2_finseq_1(A)) & k7_matrix_0(u1_struct_0(C),D,H) = F & G = H ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,k2_finseq_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,k2_finseq_1(A)))) & ! [G] : ( r2_hidden(G,E) => ? [I] : ( v7_ordinal1(I) & r2_tarski(I,k2_finseq_1(A)) & k7_matrix_0(u1_struct_0(C),D,I) = G & k1_funct_1(F,G) = I ) ) ) ) ) )).
fof(s1_funct_2__e3_14__rsspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace4)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace4)))) ) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,k1_numbers) & ? [D] : ( v7_ordinal1(D) & B = D & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,F) = k1_funct_1(k2_rsspace(k1_normsp_0(k3_rsspace4,A,F)),D) ) & v2_comseq_2(E) & C = k1_seq_2(E) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ? [G] : ( v7_ordinal1(G) & C = G & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [I] : ( v7_ordinal1(I) => k1_funct_1(H,I) = k1_funct_1(k2_rsspace(k1_normsp_0(k3_rsspace4,A,I)),G) ) & v2_comseq_2(H) & k1_funct_1(B,C) = k1_seq_2(H) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_18__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,k4_numbers) & ~ ( m1_subset_1(D,u1_struct_0(A)) & ~ ( r2_hidden(D,k2_relset_1(u1_struct_0(A),C)) & E = k1_funct_1(B,D) ) & ~ ( ~ r2_hidden(D,k2_relset_1(u1_struct_0(A),C)) & E = k5_numbers ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,k2_relset_1(u1_struct_0(A),C)) & k1_funct_1(D,E) = k1_funct_1(B,E) ) & ~ ( ~ r2_hidden(E,k2_relset_1(u1_struct_0(A),C)) & k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e3_19__csspace3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace3)))) ) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,k2_numbers) & ? [D] : ( v7_ordinal1(D) & B = D & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,F) = k1_funct_1(k2_csspace(k1_normsp_0(k3_csspace3,A,F)),D) ) & v2_comseq_2(E) & C = k3_comseq_2(E) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ? [G] : ( v7_ordinal1(G) & C = G & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k2_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [I] : ( v7_ordinal1(I) => k1_funct_1(H,I) = k1_funct_1(k2_csspace(k1_normsp_0(k3_csspace3,A,I)),G) ) & v2_comseq_2(H) & k1_funct_1(B,C) = k3_comseq_2(H) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_19__csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace4)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace4)))) ) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,k2_numbers) & ? [D] : ( v7_ordinal1(D) & B = D & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,F) = k1_funct_1(k2_csspace(k1_normsp_0(k3_csspace4,A,F)),D) ) & v2_comseq_2(E) & C = k3_comseq_2(E) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ? [G] : ( v7_ordinal1(G) & C = G & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k2_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [I] : ( v7_ordinal1(I) => k1_funct_1(H,I) = k1_funct_1(k2_csspace(k1_normsp_0(k3_csspace4,A,I)),G) ) & v2_comseq_2(H) & k1_funct_1(B,C) = k3_comseq_2(H) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_19__rsspace3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace3)))) ) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,k1_numbers) & ? [D] : ( v7_ordinal1(D) & B = D & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,F) = k1_funct_1(k2_rsspace(k1_normsp_0(k3_rsspace3,A,F)),D) ) & v2_comseq_2(E) & C = k1_seq_2(E) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ? [G] : ( v7_ordinal1(G) & C = G & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [I] : ( v7_ordinal1(I) => k1_funct_1(H,I) = k1_funct_1(k2_rsspace(k1_normsp_0(k3_rsspace3,A,I)),G) ) & v2_comseq_2(H) & k1_funct_1(B,C) = k1_seq_2(H) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_25__matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_6(D,A,C) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(A)) & ( ( r1_struct_0(C,E) & F = k1_funct_1(D,E) ) | ( ~ r1_struct_0(C,E) & F = k4_struct_0(A) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ( ( r1_struct_0(C,F) & k1_funct_1(E,F) = k1_funct_1(D,F) ) | ( ~ r1_struct_0(C,F) & k1_funct_1(E,F) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_26_4__rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_rlaffin1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(C)) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( F = E => ( r2_hidden(D,F) & ? [G] : ( r2_tarski(G,k3_convex1(A,B)) & r2_tarski(G,k1_rlaffin2(A,F)) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(C)))) & ! [E] : ( r2_hidden(E,C) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ( H = k1_funct_1(D,E) => ( r2_hidden(E,H) & ? [I] : ( r2_tarski(I,k3_convex1(A,B)) & r2_tarski(I,k1_rlaffin2(A,H)) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_28__yellow11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(k5_yellow_0(A,k3_yellow11(A,C,k13_lattice3(A,B,C))))) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(k5_yellow_0(A,k3_yellow11(A,k12_lattice3(A,B,C),B)))) & m1_subset_1(E,u1_struct_0(A)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( D = F & E = G ) => G = k12_lattice3(A,F,B) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_yellow_0(A,k3_yellow11(A,C,k13_lattice3(A,B,C)))),u1_struct_0(k5_yellow_0(A,k3_yellow11(A,k12_lattice3(A,B,C),B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_yellow_0(A,k3_yellow11(A,C,k13_lattice3(A,B,C)))),u1_struct_0(k5_yellow_0(A,k3_yellow11(A,k12_lattice3(A,B,C),B)))))) & ! [E] : ( r2_hidden(E,u1_struct_0(k5_yellow_0(A,k3_yellow11(A,C,k13_lattice3(A,B,C))))) => ( m1_subset_1(k1_funct_1(D,E),u1_struct_0(A)) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( E = H & k1_funct_1(D,E) = I ) => I = k12_lattice3(A,H,B) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_2__prvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ( r2_hidden(D,k4_card_3(B)) & D = k9_finseq_1(C) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k4_card_3(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_card_3(B)))) & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k9_finseq_1(D) ) ) ) ) )).
fof(s1_funct_2__e3_30_1_2__metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k2_struct_0(A)) & ! [D] : ~ ( r2_hidden(D,B) & ? [E] : ( E = D & r2_hidden(C,E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(A),B))) & ! [D] : ( r2_hidden(D,k2_struct_0(A)) => ? [F] : ( F = k1_funct_1(C,D) & r2_hidden(D,F) ) ) ) ) ) )).
fof(s1_funct_2__e3_33_1_2__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_dilworth(A) & v1_mycielsk(A) & l1_orders_2(A) & v1_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & v6_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,C) & ? [F] : ( F = E & r2_hidden(D,B) & r2_hidden(E,C) & r2_hidden(D,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [E] : ( r2_hidden(E,B) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,B) & r2_hidden(k1_funct_1(D,E),C) & r2_hidden(E,G) ) ) ) ) ) )).
fof(s1_funct_2__e3_34_1_2__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_dilworth(A) & v2_mycielsk(A) & l1_orders_2(A) & v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & v5_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,C) & ? [F] : ( F = E & r2_hidden(D,B) & r2_hidden(E,C) & r2_hidden(D,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [E] : ( r2_hidden(E,B) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,B) & r2_hidden(k1_funct_1(D,E),C) & r2_hidden(E,G) ) ) ) ) ) )).
fof(s1_funct_2__e3_35__isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m2_cat_1(E,k6_cat_2(A,B),C) & m2_nattra_1(F,A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) ) => ( ! [G] : ~ ( r2_hidden(G,u1_struct_0(A)) & ! [H] : ~ ( r2_hidden(H,k9_funct_2(u1_struct_0(B),u4_struct_0(C))) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( G = I => k2_nattra_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),F,I) = k4_tarski(k7_cat_2(k9_nattra_1(B,C),k9_nattra_1(B,C),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),H) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k9_funct_2(u1_struct_0(B),u4_struct_0(C))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_funct_2(u1_struct_0(B),u4_struct_0(C))))) & ! [H] : ( r2_hidden(H,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( H = J => k2_nattra_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),F,J) = k4_tarski(k7_cat_2(k9_nattra_1(B,C),k9_nattra_1(B,C),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),J),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,E),J)),k1_funct_1(G,H)) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_35__mesfunc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,B) & ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = E ) & ( ~ r2_hidden(D,k9_xtuple_0(C)) => E = k1_xboole_0 ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ( ( r2_hidden(E,k9_xtuple_0(C)) => k1_funct_1(C,E) = k1_funct_1(D,E) ) & ( ~ r2_hidden(E,k9_xtuple_0(C)) => k1_funct_1(D,E) = k1_xboole_0 ) ) ) ) ) ) )).
fof(s1_funct_2__e3_46__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( ! [F] : ~ ( r2_hidden(F,a_3_0_catalan2(A,B,C)) & ! [G] : ~ ( r2_hidden(G,k2_zfmisc_1(k2_catalan2(k3_xcmplx_0(2,C),C),k2_catalan2(D,E))) & ? [H] : ( v1_relat_1(H) & v5_relat_1(H,k4_ordinal1) & v1_funct_1(H) & v5_ordinal1(H) & v1_finset_1(H) & ? [I] : ( v1_relat_1(I) & v5_relat_1(I,k4_ordinal1) & v1_funct_1(I) & v5_ordinal1(I) & v1_finset_1(I) & F = k1_catalan2(k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,1,k5_numbers),H),k8_funcop_1(k4_ordinal1,1,1)),I) & k1_afinsq_1(k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,1,k5_numbers),H),k8_funcop_1(k4_ordinal1,1,1))) = k2_nat_1(2,k1_nat_1(C,1)) & G = k4_tarski(H,I) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,a_3_0_catalan2(A,B,C),k2_zfmisc_1(k2_catalan2(k3_xcmplx_0(2,C),C),k2_catalan2(D,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(a_3_0_catalan2(A,B,C),k2_zfmisc_1(k2_catalan2(k3_xcmplx_0(2,C),C),k2_catalan2(D,E))))) & ! [G] : ( r2_hidden(G,a_3_0_catalan2(A,B,C)) => ? [J] : ( v1_relat_1(J) & v5_relat_1(J,k4_ordinal1) & v1_funct_1(J) & v5_ordinal1(J) & v1_finset_1(J) & ? [K] : ( v1_relat_1(K) & v5_relat_1(K,k4_ordinal1) & v1_funct_1(K) & v5_ordinal1(K) & v1_finset_1(K) & G = k1_catalan2(k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,1,k5_numbers),J),k8_funcop_1(k4_ordinal1,1,1)),K) & k1_afinsq_1(k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,1,k5_numbers),J),k8_funcop_1(k4_ordinal1,1,1))) = k2_nat_1(2,k1_nat_1(C,1)) & k1_funct_1(F,G) = k4_tarski(J,K) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_54__compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,k9_setfam_1(k9_setfam_1(u1_struct_0(k3_pcomps_1(A))))) & ! [D] : ( v7_ordinal1(D) => ( D = B => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) => ( C = E => ( v1_finset_1(E) & u1_struct_0(A) = k5_setfam_1(u1_struct_0(k3_pcomps_1(A)),E) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(F,E) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => F != k8_metric_1(A,G,k7_xcmplx_0(1,k1_nat_1(D,1))) ) ) ) ) ) ) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(k3_pcomps_1(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(k3_pcomps_1(A))))))) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ! [H] : ( v7_ordinal1(H) => ( H = C => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) => ( k1_funct_1(B,C) = I => ( v1_finset_1(I) & u1_struct_0(A) = k5_setfam_1(u1_struct_0(k3_pcomps_1(A)),I) & ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(J,I) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => J != k8_metric_1(A,K,k7_xcmplx_0(1,k1_nat_1(H,1))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_58_1_2__topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,k2_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(k2_struct_0(A))) & ? [F] : ( F = E & m1_subset_1(D,u1_struct_0(A)) & r2_hidden(D,F) & v3_pre_topc(E,A) & v4_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ( r1_tarski(F,k3_subset_1(u1_struct_0(A),B)) | r1_tarski(F,k3_subset_1(u1_struct_0(A),C)) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_struct_0(A),k9_setfam_1(k2_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_struct_0(A),k9_setfam_1(k2_struct_0(A))))) & ! [E] : ( r2_hidden(E,k2_struct_0(A)) => ? [G] : ( G = k1_funct_1(D,E) & m1_subset_1(E,u1_struct_0(A)) & r2_hidden(E,G) & v3_pre_topc(k1_funct_1(D,E),A) & v4_pre_topc(k1_funct_1(D,E),A) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(u1_struct_0(A))) & ( r1_tarski(G,k3_subset_1(u1_struct_0(A),B)) | r1_tarski(G,k3_subset_1(u1_struct_0(A),C)) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_61__matrix11,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_matrix_1(B,k9_matrix_1(A)) ) => ( ! [C] : ~ ( r2_hidden(C,k9_matrix_1(A)) & ! [D] : ~ ( r2_hidden(D,k9_matrix_1(A)) & ! [E] : ( m1_matrix_1(E,k9_matrix_1(A)) => ( C = E => D = k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B,E) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k9_matrix_1(A),k9_matrix_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(A),k9_matrix_1(A)))) & ! [D] : ( r2_hidden(D,k9_matrix_1(A)) => ! [F] : ( m1_matrix_1(F,k9_matrix_1(A)) => ( D = F => k1_funct_1(C,D) = k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B,F) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_6__vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m2_finseq_1(D,u1_struct_0(B)) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(A)) & ~ ( m1_subset_1(E,u1_struct_0(B)) & ~ ( r2_hidden(E,k10_xtuple_0(D)) & F = k1_funct_1(C,E) ) & ~ ( ~ r2_hidden(E,k10_xtuple_0(D)) & F = k4_struct_0(A) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ~ ( m1_subset_1(F,u1_struct_0(B)) & ~ ( r2_hidden(F,k10_xtuple_0(D)) & k1_funct_1(E,F) = k1_funct_1(C,F) ) & ~ ( ~ r2_hidden(F,k10_xtuple_0(D)) & k1_funct_1(E,F) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_79__eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( r2_hidden(G,C) & ( ! [H] : ( m1_subset_1(H,A) => F != k3_funct_2(A,B,D,H) ) | ! [H] : ( m1_subset_1(H,A) => ( F = k3_funct_2(A,B,D,H) => G = k3_funct_2(A,C,E,H) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [G] : ( r2_hidden(G,B) => ( ! [I] : ( m1_subset_1(I,A) => G != k3_funct_2(A,B,D,I) ) | ! [I] : ( m1_subset_1(I,A) => ( G = k3_funct_2(A,B,D,I) => k1_funct_1(F,G) = k3_funct_2(A,C,E,I) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e3_7__mesfunc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_xreal_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m1_subset_1(F,C) ) => ( ! [G] : ~ ( r2_hidden(G,k3_numbers) & ! [H] : ~ ( r2_hidden(H,C) & ? [I] : ( v1_rat_1(I) & I = G & H = k9_subset_1(A,k9_subset_1(A,F,k14_mesfunc1(A,D,I)),k9_subset_1(A,F,k14_mesfunc1(A,E,k6_xcmplx_0(B,I)))) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k3_numbers,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_numbers,C))) & ! [H] : ( r2_hidden(H,k3_numbers) => ? [J] : ( v1_rat_1(J) & J = H & k1_funct_1(G,H) = k9_subset_1(A,k9_subset_1(A,F,k14_mesfunc1(A,D,J)),k9_subset_1(A,F,k14_mesfunc1(A,E,k6_xcmplx_0(B,J)))) ) ) ) ) ) )).
fof(s1_funct_2__e3_85_1_2__dilworth,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_struct_0(A) & l1_orders_2(A) & v5_dilworth(B,A) & m1_eqrel_1(B,u1_struct_0(A)) & v2_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,B) & ? [F] : ( F = E & r2_hidden(D,C) & r2_hidden(E,B) & r2_hidden(D,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,B))) & ! [E] : ( r2_hidden(E,C) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,C) & r2_hidden(k1_funct_1(D,E),B) & r2_hidden(E,G) ) ) ) ) ) )).
fof(s1_funct_2__e3_86_1_2__dilworth,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_dilworth(A) & l1_orders_2(A) & v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_dilworth(C,A) & m1_eqrel_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,C) & ? [F] : ( F = E & r2_hidden(D,B) & r2_hidden(E,C) & r2_hidden(D,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [E] : ( r2_hidden(E,B) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,B) & r2_hidden(k1_funct_1(D,E),C) & r2_hidden(E,G) ) ) ) ) ) )).
fof(s1_funct_2__e3_8__rlvect_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,k1_numbers) & ~ ( m1_subset_1(D,u1_struct_0(A)) & ~ ( r2_hidden(D,k10_xtuple_0(C)) & E = k1_funct_1(B,D) ) & ~ ( ~ r2_hidden(D,k10_xtuple_0(C)) & E = k5_numbers ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,k10_xtuple_0(C)) & k1_funct_1(D,E) = k1_funct_1(B,E) ) & ~ ( ~ r2_hidden(E,k10_xtuple_0(C)) & k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e3_93_1_2__dilworth,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_struct_0(A) & l1_orders_2(A) & v6_dilworth(B,A) & m1_eqrel_1(B,u1_struct_0(A)) & v1_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,B) & ? [F] : ( F = E & r2_hidden(D,C) & r2_hidden(E,B) & r2_hidden(D,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,B))) & ! [E] : ( r2_hidden(E,C) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,C) & r2_hidden(k1_funct_1(D,E),B) & r2_hidden(E,G) ) ) ) ) ) )).
fof(s1_funct_2__e3_96__matrix13,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k9_xtuple_0(A)) & ! [D] : ~ ( r2_hidden(D,k9_xtuple_0(B)) & k1_funct_1(A,C) = k1_funct_1(B,D) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k9_xtuple_0(A),k9_xtuple_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(B)))) & ! [D] : ( r2_hidden(D,k9_xtuple_0(A)) => k1_funct_1(A,D) = k1_funct_1(B,k1_funct_1(C,D)) ) ) ) ) )).
fof(s1_funct_2__e3_9__topdim_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( E = C & F = D ) => ( k5_setfam_1(u1_struct_0(A),F) = k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E) & v2_tops_2(F,A) & v4_card_3(F) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( G = D & H = k1_funct_1(C,D) ) => ( k5_setfam_1(u1_struct_0(A),H) = k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,G) & v2_tops_2(H,A) & v4_card_3(H) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_107__finseq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,C) & ? [F] : ? [G] : ( F = D & G = E & r1_tarski(F,G) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [E] : ( r2_hidden(E,B) => ? [H] : ? [I] : ( H = E & I = k1_funct_1(D,E) & r1_tarski(H,I) ) ) ) ) ) )).
fof(s1_funct_2__e4_11__petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( ! [E] : ~ ( r2_hidden(E,k2_petri_2(A,C)) & ! [F] : ~ ( r2_hidden(F,k2_petri_2(B,D)) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(C)) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,G,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(G,A))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,G,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(G,B))) & v1_finset_1(G) & r1_funct_2(G,A,G,B,H,I) & E = k1_petri_2(A,C,G,H) & F = k1_petri_2(B,D,G,I) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_petri_2(A,C),k2_petri_2(B,D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_petri_2(A,C),k2_petri_2(B,D)))) & ! [F] : ( r2_hidden(F,k2_petri_2(A,C)) => ? [J] : ( m1_subset_1(J,k1_zfmisc_1(C)) & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,J,A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(J,A))) & ? [L] : ( v1_funct_1(L) & v1_funct_2(L,J,B) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(J,B))) & v1_finset_1(J) & r1_funct_2(J,A,J,B,K,L) & F = k1_petri_2(A,C,J,K) & k1_funct_1(E,F) = k1_petri_2(B,D,J,L) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_14__topgen_6,axiom,( ! [A] : ~ ( r2_hidden(A,u1_struct_0(k1_topgen_6)) & ! [B] : ~ ( r2_hidden(B,u1_struct_0(k3_topmetr)) & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & A = k4_tarski(C,D) & B = k2_xcmplx_0(C,D) ) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k1_topgen_6),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_topgen_6),u1_struct_0(k3_topmetr)))) & ! [B] : ( r2_hidden(B,u1_struct_0(k1_topgen_6)) => ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & B = k4_tarski(E,F) & k1_funct_1(A,B) = k2_xcmplx_0(E,F) ) ) ) ) )).
fof(s1_funct_2__e4_1_4__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ~ ( r2_hidden(F,k9_funct_2(B,C)) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) & F = G & ! [H] : ( r2_hidden(H,B) => k1_funct_1(G,H) = k1_binop_1(D,E,H) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,k9_funct_2(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) & ! [F] : ( r2_hidden(F,A) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,B,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(B,C))) & k1_funct_1(E,F) = I & ! [J] : ( r2_hidden(J,B) => k1_funct_1(I,J) = k1_binop_1(D,F,J) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_27__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(u1_struct_0(A))) & ! [E] : ( v7_ordinal1(E) => ( E = C => D = k1_setfam_1(a_3_1_compl_sp(A,B,E)) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ! [F] : ( v7_ordinal1(F) => ( F = D => k1_funct_1(C,D) = k1_setfam_1(a_3_1_compl_sp(A,B,F)) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_28_1_5__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(k3_pcomps_1(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k3_pcomps_1(A)))))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(u1_struct_0(A))) & ! [F] : ( v7_ordinal1(F) => ( F = D => E = k9_subset_1(u1_struct_0(k3_pcomps_1(A)),k8_nat_1(k9_setfam_1(u1_struct_0(k3_pcomps_1(A))),B,F),C) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ! [G] : ( v7_ordinal1(G) => ( G = E => k1_funct_1(D,E) = k9_subset_1(u1_struct_0(k3_pcomps_1(A)),k8_nat_1(k9_setfam_1(u1_struct_0(k3_pcomps_1(A))),B,G),C) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_29__waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(B)) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & F = D & E = k2_yellow_0(A,k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_waybel_0(B,F))) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [E] : ( r2_hidden(E,u1_struct_0(B)) => ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & G = E & k1_funct_1(D,E) = k2_yellow_0(A,k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_waybel_0(B,G))) ) ) ) ) ) )).
fof(s1_funct_2__e4_2_4__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) ) => ( ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ~ ( r2_hidden(F,k9_funct_2(B,C)) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) & F = G & ! [H] : ( r2_hidden(H,B) => k1_funct_1(G,H) = k1_binop_1(D,H,E) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,k9_funct_2(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) & ! [F] : ( r2_hidden(F,A) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,B,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(B,C))) & k1_funct_1(E,F) = I & ! [J] : ( r2_hidden(J,B) => k1_funct_1(I,J) = k1_binop_1(D,J,F) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_30__waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & F = D & E = k1_yellow_0(B,k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,k5_waybel_0(A,F))) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & G = E & k1_funct_1(D,E) = k1_yellow_0(B,k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,k5_waybel_0(A,G))) ) ) ) ) ) )).
fof(s1_funct_2__e4_31_2__nat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & v1_int_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k8_mcart_1(k4_ordinal1,k4_ordinal1,k5_card_1(B),k5_card_1(B))) & ! [F] : ~ ( r2_hidden(F,k5_card_1(C)) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & ? [I] : ( m1_subset_1(I,k4_ordinal1) & E = k1_domain_1(k4_ordinal1,k4_ordinal1,G,H) & F = I & k5_int_1(k6_xcmplx_0(G,k3_xcmplx_0(D,H)),A) = I ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k8_mcart_1(k4_ordinal1,k4_ordinal1,k5_card_1(B),k5_card_1(B)),k5_card_1(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_mcart_1(k4_ordinal1,k4_ordinal1,k5_card_1(B),k5_card_1(B)),k5_card_1(C)))) & ! [F] : ( r2_hidden(F,k8_mcart_1(k4_ordinal1,k4_ordinal1,k5_card_1(B),k5_card_1(B))) => ? [J] : ( m1_subset_1(J,k4_ordinal1) & ? [K] : ( m1_subset_1(K,k4_ordinal1) & ? [L] : ( m1_subset_1(L,k4_ordinal1) & F = k1_domain_1(k4_ordinal1,k4_ordinal1,J,K) & k1_funct_1(E,F) = L & k5_int_1(k6_xcmplx_0(J,k3_xcmplx_0(D,K)),A) = L ) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_33_1_1__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(u1_struct_0(k1_topmetr(A,B)))) & ! [F] : ( v7_ordinal1(F) => ( F = D => E = k9_subset_1(u1_struct_0(A),B,k9_metric_1(A,C,k7_xcmplx_0(1,k1_nat_1(F,1)))) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(k1_topmetr(A,B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k1_topmetr(A,B)))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ! [G] : ( v7_ordinal1(G) => ( G = E => k1_funct_1(D,E) = k9_subset_1(u1_struct_0(A),B,k9_metric_1(A,C,k7_xcmplx_0(1,k1_nat_1(G,1)))) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_34__measure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k7_setfam_1(A,B)) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) & F = k1_funct_1(C,D) & E = k3_subset_1(A,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k7_setfam_1(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k7_setfam_1(A,B)))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) & G = k1_funct_1(C,E) & k1_funct_1(D,E) = k3_subset_1(A,G) ) ) ) ) ) )).
fof(s1_funct_2__e4_36__zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ~ ( r2_hidden(F,k4_numbers) & ~ ( m1_subset_1(E,u1_struct_0(A)) & ~ ( r2_hidden(E,B) & F = k1_funct_1(D,E) ) & ~ ( ~ r2_hidden(E,B) & F = k5_numbers ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ~ ( m1_subset_1(F,u1_struct_0(A)) & ~ ( r2_hidden(F,B) & k1_funct_1(E,F) = k1_funct_1(D,F) ) & ~ ( ~ r2_hidden(F,B) & k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e4_37__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(u1_struct_0(A))) & ! [F] : ( v7_ordinal1(F) => ~ ( F = D & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(G,B) & G = a_3_2_compl_sp(A,C,F) & E = k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),G)) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ! [H] : ( v7_ordinal1(H) => ~ ( H = E & ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(I,B) & I = a_3_2_compl_sp(A,C,H) & k1_funct_1(D,E) = k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),I)) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_50_1_2__groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v3_polynom7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ~ ( r2_hidden(G,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,k10_polynom1(A,C,E,D),F))) & ! [H] : ~ ( r2_hidden(H,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,F))) & G = k11_pre_poly(A,k2_polynom7(A,C,E),k10_subset_1(H,k15_pre_poly(A))) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,k10_polynom1(A,C,E,D),F)),k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,k10_polynom1(A,C,E,D),F)),k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,F))))) & ! [H] : ( r2_hidden(H,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,k10_polynom1(A,C,E,D),F))) => H = k11_pre_poly(A,k2_polynom7(A,C,E),k10_subset_1(k1_funct_1(G,H),k15_pre_poly(A))) ) ) ) ) )).
fof(s1_funct_2__e4_50_2_2__groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v3_polynom7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ~ ( r2_hidden(G,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,F))) & ! [H] : ~ ( r2_hidden(H,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,k10_polynom1(A,C,E,D),F))) & H = k11_pre_poly(A,k2_polynom7(A,C,E),k10_subset_1(G,k15_pre_poly(A))) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,F)),k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,k10_polynom1(A,C,E,D),F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,F)),k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,k10_polynom1(A,C,E,D),F))))) & ! [H] : ( r2_hidden(H,k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,F))) => k1_funct_1(G,H) = k11_pre_poly(A,k2_polynom7(A,C,E),k10_subset_1(H,k15_pre_poly(A))) ) ) ) ) )).
fof(s1_funct_2__e4_52__euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,k1_numbers) & ( ~ r2_hidden(B,A) => C = 1 ) & ( r2_hidden(B,A) => C = k5_numbers ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ( ( ~ r2_hidden(C,A) => k1_funct_1(B,C) = 1 ) & ( r2_hidden(C,A) => k1_funct_1(B,C) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e4_53__ltlaxio1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ~ ( r2_hidden(C,k1_hilbert1) & ! [D] : ~ ( r2_hidden(D,k5_margrel1) & D = k1_funct_1(k11_ltlaxio1(A),k4_tarski(B,C)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_hilbert1,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) & ! [D] : ( r2_hidden(D,k1_hilbert1) => k1_funct_1(C,D) = k1_funct_1(k11_ltlaxio1(A),k4_tarski(B,D)) ) ) ) ) )).
fof(s1_funct_2__e4_5_1_2__topgen_6,axiom,( ! [A] : ~ ( r2_hidden(A,a_0_2_topgen_6) & ! [B] : ~ ( r2_hidden(B,k2_zfmisc_1(k3_numbers,k3_numbers)) & ? [C] : ( v1_rat_1(C) & ? [D] : ( v1_rat_1(D) & A = k2_rcomp_1(C,D) & B = k4_tarski(C,D) ) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,a_0_2_topgen_6,k2_zfmisc_1(k3_numbers,k3_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(a_0_2_topgen_6,k2_zfmisc_1(k3_numbers,k3_numbers)))) & ! [B] : ( r2_hidden(B,a_0_2_topgen_6) => ? [E] : ( v1_rat_1(E) & ? [F] : ( v1_rat_1(F) & B = k2_rcomp_1(E,F) & k1_funct_1(A,B) = k4_tarski(E,F) ) ) ) ) )).
fof(s1_funct_2__e4_61__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_vectsp_6(D,A,B) & m2_finseq_1(E,u1_struct_0(B)) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(F,B,C) & v1_mod_2(F,A,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ! [G] : ~ ( r2_hidden(G,u1_struct_0(C)) & ! [H] : ~ ( r2_hidden(H,u1_struct_0(A)) & ( ~ r2_hidden(G,k2_ranknull(B,C,F,k8_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,D),k10_xtuple_0(E)))) => H = k4_struct_0(A) ) & ( r2_hidden(G,k2_ranknull(B,C,F,k8_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,D),k10_xtuple_0(E)))) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ( ( r2_tarski(I,k8_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,D),k10_xtuple_0(E))) & k3_funct_2(u1_struct_0(B),u1_struct_0(C),F,I) = G ) => H = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,I) ) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) & ! [H] : ( r2_hidden(H,u1_struct_0(C)) => ( ( ~ r2_hidden(H,k2_ranknull(B,C,F,k8_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,D),k10_xtuple_0(E)))) => k1_funct_1(G,H) = k4_struct_0(A) ) & ( r2_hidden(H,k2_ranknull(B,C,F,k8_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,D),k10_xtuple_0(E)))) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ( ( r2_tarski(J,k8_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,D),k10_xtuple_0(E))) & k3_funct_2(u1_struct_0(B),u1_struct_0(C),F,J) = H ) => k1_funct_1(G,H) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,J) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_64__card_fin,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k4_card_1(A)) & ! [D] : ~ ( r2_hidden(D,k4_numbers) & ! [E] : ( v7_ordinal1(E) => ( E = C => D = k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),E),k1_recdef_1(B,E)),k4_newton(k1_nat_1(E,1),k4_card_1(A))) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_card_1(A),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(A),k4_numbers))) & ! [D] : ( r2_hidden(D,k4_card_1(A)) => ! [F] : ( v7_ordinal1(F) => ( F = D => k1_funct_1(C,D) = k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),F),k1_recdef_1(B,F)),k4_newton(k1_nat_1(F,1),k4_card_1(A))) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_65__card_fin,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k5_card_1(k4_card_1(B))) & ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ( v7_ordinal1(E) => ( E = C => D = k1_newton(k6_xcmplx_0(k6_xcmplx_0(k4_card_1(B),E),1),k4_card_1(A)) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(k4_card_1(B)),k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k4_card_1(B)),k4_ordinal1))) & ! [D] : ( r2_hidden(D,k5_card_1(k4_card_1(B))) => ! [F] : ( v7_ordinal1(F) => ( F = D => k1_funct_1(C,D) = k1_newton(k6_xcmplx_0(k6_xcmplx_0(k4_card_1(B),F),1),k4_card_1(A)) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_7_1__uniform1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( E = C & F = D & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k3_metric_1(A,F,G)) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ~ ( r2_tarski(F,H) & r2_tarski(G,H) & r2_tarski(H,B) ) ) ) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( I = D & J = k1_funct_1(C,D) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(I,1)),k3_metric_1(A,J,K)) & ! [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ~ ( r2_tarski(J,L) & r2_tarski(K,L) & r2_tarski(L,B) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_82_1__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v7_ordinal1(D) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(D),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(D),E))) ) => ( ! [G] : ~ ( r2_hidden(G,k2_finseq_1(D)) & ! [H] : ~ ( r2_hidden(H,u1_struct_0(B)) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( J = G & I = k1_funct_1(F,J) ) => H = k3_matrix_0(u1_struct_0(B),C,J,I) ) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(D),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(D),u1_struct_0(B)))) & ! [H] : ( r2_hidden(H,k2_finseq_1(D)) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ( ( L = H & K = k1_funct_1(F,L) ) => k1_funct_1(G,H) = k3_matrix_0(u1_struct_0(B),C,L,K) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_83_1_1__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_finseq_1(B),k2_finseq_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(B),k2_finseq_1(A)))) & m1_subset_1(F,k5_finsub_1(C)) ) => ( ! [G] : ~ ( r2_hidden(G,D) & ! [H] : ~ ( r2_hidden(H,F) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_xboole_0(k2_finseq_1(B),k1_tarski(k1_nat_1(B,1))),k2_finseq_1(A)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_finseq_1(B),k1_tarski(k1_nat_1(B,1))),k2_finseq_1(A)))) ) => ( ( k2_partfun1(k2_xboole_0(k2_finseq_1(B),k1_tarski(k1_nat_1(B,1))),k2_finseq_1(A),I,k2_finseq_1(B)) = E & k1_funct_1(I,k1_nat_1(B,1)) = G ) => I = H ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,D,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(D,F))) & ! [H] : ( r2_hidden(H,D) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k2_xboole_0(k2_finseq_1(B),k1_tarski(k1_nat_1(B,1))),k2_finseq_1(A)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k2_finseq_1(B),k1_tarski(k1_nat_1(B,1))),k2_finseq_1(A)))) ) => ( ( k2_partfun1(k2_xboole_0(k2_finseq_1(B),k1_tarski(k1_nat_1(B,1))),k2_finseq_1(A),J,k2_finseq_1(B)) = E & k1_funct_1(J,k1_nat_1(B,1)) = H ) => J = k1_funct_1(G,H) ) ) ) ) ) ) )).
fof(s1_funct_2__e4_98_1_2_1_2__dilworth,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v4_dilworth(A) & l1_orders_2(A) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ~ ( r2_hidden(E,k8_subset_1(u1_struct_0(A),D,C)) & ! [F] : ~ ( r2_hidden(F,B) & ? [G] : ( G = F & r2_hidden(E,k8_subset_1(u1_struct_0(A),D,C)) & r2_hidden(F,B) & r2_hidden(E,G) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k8_subset_1(u1_struct_0(A),D,C),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_subset_1(u1_struct_0(A),D,C),B))) & ! [F] : ( r2_hidden(F,k8_subset_1(u1_struct_0(A),D,C)) => ? [H] : ( H = k1_funct_1(E,F) & r2_hidden(F,k8_subset_1(u1_struct_0(A),D,C)) & r2_hidden(k1_funct_1(E,F),B) & r2_hidden(F,H) ) ) ) ) ) )).
fof(s1_funct_2__e5_10__groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_2(B) & v1_algstr_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(D,A,B) & v3_polynom7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ! [E] : ~ ( r2_hidden(E,k3_polynom1(k15_pre_poly(A),B,C)) & ! [F] : ~ ( r2_hidden(F,k3_polynom1(k15_pre_poly(A),B,k10_polynom1(A,B,D,C))) & F = k11_pre_poly(A,k2_polynom7(A,B,D),k10_subset_1(E,k15_pre_poly(A))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k3_polynom1(k15_pre_poly(A),B,C),k3_polynom1(k15_pre_poly(A),B,k10_polynom1(A,B,D,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_polynom1(k15_pre_poly(A),B,C),k3_polynom1(k15_pre_poly(A),B,k10_polynom1(A,B,D,C))))) & ! [F] : ( r2_hidden(F,k3_polynom1(k15_pre_poly(A),B,C)) => k1_funct_1(E,F) = k11_pre_poly(A,k2_polynom7(A,B,D),k10_subset_1(F,k15_pre_poly(A))) ) ) ) ) )).
fof(s1_funct_2__e5_10__vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_6(D,A,C) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(A)) & ( ( r1_struct_0(C,E) & F = k1_funct_1(D,E) ) | ( ~ r1_struct_0(C,E) & F = k4_struct_0(A) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ( ( r1_struct_0(C,F) & k1_funct_1(E,F) = k1_funct_1(D,F) ) | ( ~ r1_struct_0(C,F) & k1_funct_1(E,F) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s1_funct_2__e5_11__laplace,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_sgraph1(k2_finseq_1(A))) & ! [D] : ~ ( r2_hidden(D,k6_subset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,1))),a_2_1_laplace(A,B))) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( k2_tarski(E,F) = C => ( r1_xxreal_0(F,E) | ( ~ ( ~ r1_xxreal_0(B,F) & ~ r1_xxreal_0(B,E) & D != k2_tarski(E,F) ) & ( r1_xxreal_0(B,F) => ( r1_xxreal_0(B,E) | D = k2_tarski(E,k1_nat_1(F,1)) ) ) & ( ( r1_xxreal_0(B,F) & r1_xxreal_0(B,E) ) => D = k2_tarski(k1_nat_1(E,1),k1_nat_1(F,1)) ) ) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_sgraph1(k2_finseq_1(A)),k6_subset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,1))),a_2_1_laplace(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_sgraph1(k2_finseq_1(A)),k6_subset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,1))),a_2_1_laplace(A,B))))) & ! [D] : ( r2_hidden(D,k2_sgraph1(k2_finseq_1(A))) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( k2_tarski(G,H) = D => ( r1_xxreal_0(H,G) | ( ~ ( ~ r1_xxreal_0(B,H) & ~ r1_xxreal_0(B,G) & k1_funct_1(C,D) != k2_tarski(G,H) ) & ( r1_xxreal_0(B,H) => ( r1_xxreal_0(B,G) | k1_funct_1(C,D) = k2_tarski(G,k1_nat_1(H,1)) ) ) & ( ( r1_xxreal_0(B,H) & r1_xxreal_0(B,G) ) => k1_funct_1(C,D) = k2_tarski(k1_nat_1(G,1),k1_nat_1(H,1)) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e5_12__rlvect_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) & m1_rlvect_2(C,B) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,k1_numbers) & ( ( r1_struct_0(B,D) & E = k1_funct_1(C,D) ) | ( ~ r1_struct_0(B,D) & E = k5_numbers ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r1_struct_0(B,E) & k1_funct_1(D,E) = k1_funct_1(C,E) ) | ( ~ r1_struct_0(B,E) & k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e5_15__matrtop2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_rlsub_1(B,k15_euclid(A)) & m1_rlvect_2(C,B) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(k15_euclid(A))) & ! [E] : ~ ( r2_hidden(E,k1_numbers) & ( ( r1_struct_0(B,D) & E = k1_funct_1(C,D) ) | ( ~ r1_struct_0(B,D) & E = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),k1_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(k15_euclid(A))) => ( ( r1_struct_0(B,E) & k1_funct_1(D,E) = k1_funct_1(C,E) ) | ( ~ r1_struct_0(B,E) & k1_funct_1(D,E) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) ) )).
fof(s1_funct_2__e5_22__nbvectsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m2_finseq_1(B,k4_finseq_2(A,k5_margrel1)) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))) & m2_finseq_2(D,k5_margrel1,k4_finseq_2(A,k5_margrel1)) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(k2_bspace)) & ? [G] : ( v7_ordinal1(G) & r2_tarski(G,k2_finseq_1(A)) & E = k1_funct_1(B,G) & F = k10_descip_1(A,D,G) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(k2_bspace)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(k2_bspace)))) & ! [F] : ( r2_hidden(F,C) => ? [H] : ( v7_ordinal1(H) & r2_tarski(H,k2_finseq_1(A)) & F = k1_funct_1(B,H) & k1_funct_1(E,F) = k10_descip_1(A,D,H) ) ) ) ) ) )).
fof(s1_funct_2__e5_22__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_zmodul02(C,B) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,k4_numbers) & ( ( r1_struct_0(B,D) & E = k1_funct_1(C,D) ) | ( ~ r1_struct_0(B,D) & E = k5_numbers ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r1_struct_0(B,E) & k1_funct_1(D,E) = k1_funct_1(C,E) ) | ( ~ r1_struct_0(B,E) & k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e5_24__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k2_finseq_1(C)) & ! [E] : ~ ( r2_hidden(E,k2_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k2_finseq_1(C)) & F = D ) => ( ( F = A => E = B ) & ( F = B => E = A ) & ~ ( F != A & F != B & E != F ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(C),k2_finseq_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C),k2_finseq_1(C)))) & ! [E] : ( r2_hidden(E,k2_finseq_1(C)) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k2_finseq_1(C)) & G = E ) => ( ( G = A => k1_funct_1(D,E) = B ) & ( G = B => k1_funct_1(D,E) = A ) & ~ ( G != A & G != B & k1_funct_1(D,E) != G ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e5_25_1__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & D = k1_funct_1(B,E) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) & ! [E] : ( r2_hidden(E,C) => E = k1_funct_1(B,k1_funct_1(D,E)) ) ) ) ) )).
fof(s1_funct_2__e5_26__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) & m1_rlvect_2(C,B) ) => ( ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ~ ( r2_hidden(E,k1_numbers) & ( ( r1_struct_0(B,D) & E = k1_funct_1(C,D) ) | ( ~ r1_struct_0(B,D) & E = k5_numbers ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r1_struct_0(B,E) & k1_funct_1(D,E) = k1_funct_1(C,E) ) | ( ~ r1_struct_0(B,E) & k1_funct_1(D,E) = k5_numbers ) ) ) ) ) ) )).
fof(s1_funct_2__e5_32__uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) ) => ( ! [C] : ~ ( r2_hidden(C,k2_finseq_1(A)) & ! [D] : ~ ( r2_hidden(D,B) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & E = C & D = k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k7_nat_d(E,1)),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k7_nat_d(E,1)),A))) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),B))) & ! [D] : ( r2_hidden(D,k2_finseq_1(A)) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = D & k1_funct_1(C,D) = k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k7_nat_d(F,1)),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k7_nat_d(F,1)),A))) ) ) ) ) ) )).
fof(s1_funct_2__e5_4_2__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) ) => ( ! [D] : ~ ( r2_hidden(D,k9_funct_2(k1_nat_1(B,1),C)) & ! [E] : ~ ( r2_hidden(E,k9_funct_2(B,C)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_nat_1(B,1),A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_nat_1(B,1),A))) & D = F & E = k2_partfun1(k1_nat_1(B,1),A,F,B) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)))) & ! [E] : ( r2_hidden(E,k9_funct_2(k1_nat_1(B,1),C)) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k1_nat_1(B,1),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_nat_1(B,1),A))) & E = G & k1_funct_1(D,E) = k2_partfun1(k1_nat_1(B,1),A,G,B) ) ) ) ) ) )).
fof(s1_funct_2__e5_54__catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k1_afinsq_1(A)) & ! [C] : ~ ( r2_hidden(C,k1_afinsq_1(A)) & ! [D] : ( v7_ordinal1(D) => ( D = B => C = k7_nat_d(k1_afinsq_1(A),k2_xcmplx_0(1,D)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_afinsq_1(A),k1_afinsq_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_afinsq_1(A),k1_afinsq_1(A)))) & ! [C] : ( r2_hidden(C,k1_afinsq_1(A)) => ! [E] : ( v7_ordinal1(E) => ( E = C => k1_funct_1(B,C) = k7_nat_d(k1_afinsq_1(A),k2_xcmplx_0(1,E)) ) ) ) ) ) ) )).
fof(s1_funct_2__e5_71__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k3_compl_sp(B,C,A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_compl_sp(B,C,A))))) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(B)) & ? [G] : k1_funct_1(D,E) = k4_tarski(G,F) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => ? [H] : k1_funct_1(D,F) = k4_tarski(H,k1_funct_1(E,F)) ) ) ) ) )).
fof(s1_funct_2__e69_52_1_2__osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & m1_subset_1(D,k3_msualg_1(A,C,k8_osafree(A,B))) & m2_finseq_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) ) => ( ! [F] : ~ ( r2_hidden(F,k4_finseq_1(E)) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(A)) & r2_hidden(k4_tarski(k1_funct_1(D,F),G),k1_funct_1(E,F)) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(E),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(E),u1_struct_0(A)))) & ! [G] : ( r2_hidden(G,k4_finseq_1(E)) => r2_hidden(k4_tarski(k1_funct_1(D,G),k1_funct_1(F,G)),k1_funct_1(E,G)) ) ) ) ) )).
fof(s1_funct_2__e6_100__afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k2_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k1_afinsq_1(A)) & ! [C] : ~ ( r2_hidden(C,k1_afinsq_1(A)) & ! [D] : ( v7_ordinal1(D) => ( D = B => C = k6_xcmplx_0(k1_afinsq_1(A),k2_xcmplx_0(1,D)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_afinsq_1(A),k1_afinsq_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_afinsq_1(A),k1_afinsq_1(A)))) & ! [C] : ( r2_hidden(C,k1_afinsq_1(A)) => ! [E] : ( v7_ordinal1(E) => ( E = C => k1_funct_1(B,C) = k6_xcmplx_0(k1_afinsq_1(A),k2_xcmplx_0(1,E)) ) ) ) ) ) ) )).
fof(s1_funct_2__e6_11_1_2__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k1_mycielsk(A,B,C)) & ! [F] : ~ ( r2_hidden(F,D) & ? [G] : ( G = F & r2_hidden(E,k1_mycielsk(A,B,C)) & r2_hidden(F,D) & E = k9_subset_1(A,G,C) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_mycielsk(A,B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_mycielsk(A,B,C),D))) & ! [F] : ( r2_hidden(F,k1_mycielsk(A,B,C)) => ? [H] : ( H = k1_funct_1(E,F) & r2_hidden(F,k1_mycielsk(A,B,C)) & r2_hidden(k1_funct_1(E,F),D) & F = k9_subset_1(A,H,C) ) ) ) ) ) )).
fof(s1_funct_2__e6_156__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & v6_ideal_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(B)) & ? [F] : ( ~ v1_xboole_0(F) & m1_ideal_1(F,A,B) & D = k4_rlvect_1(A,F) & ? [G] : ( m2_finseq_1(G,B) & k1_relset_1(k4_ordinal1,G) = k1_relset_1(k4_ordinal1,F) & E = k2_relset_1(B,G) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k1_relset_1(k4_ordinal1,F)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => k7_partfun1(u1_struct_0(A),F,H) != k6_algstr_0(A,k6_algstr_0(A,I,k7_partfun1(B,G,H)),J) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(B)))) & ! [E] : ( r2_hidden(E,C) => ? [K] : ( ~ v1_xboole_0(K) & m1_ideal_1(K,A,B) & E = k4_rlvect_1(A,K) & ? [L] : ( m2_finseq_1(L,B) & k1_relset_1(k4_ordinal1,L) = k1_relset_1(k4_ordinal1,K) & k1_funct_1(D,E) = k2_relset_1(B,L) & ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k1_relset_1(k4_ordinal1,K)) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => k7_partfun1(u1_struct_0(A),K,M) != k6_algstr_0(A,k6_algstr_0(A,N,k7_partfun1(B,L,M)),O) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e6_159__ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & E = C & ( E = k5_numbers => r2_hidden(D,k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,k5_numbers)) ) & ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( E = k1_nat_1(F,1) & r2_hidden(D,k7_subset_1(u1_struct_0(A),k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,E),k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,F))) ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k4_ordinal1) & G = D & ( G = k5_numbers => r2_hidden(k1_funct_1(C,D),k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,k5_numbers)) ) & ~ ( ~ r1_xxreal_0(G,k5_numbers) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( G = k1_nat_1(H,1) & r2_hidden(k1_funct_1(C,D),k7_subset_1(u1_struct_0(A),k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,G),k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,H))) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e6_21__huffman1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) & v1_funct_1(C) & v1_funct_2(C,A,k2_finseq_1(k4_card_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_finseq_1(k4_card_1(A))))) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ( r2_hidden(E,k4_huffman1(A,B)) & E = k1_trees_4(k4_tarski(k1_funct_1(C,D),k1_funct_1(B,k1_tarski(D)))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,k4_huffman1(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_huffman1(A,B)))) & ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k1_trees_4(k4_tarski(k1_funct_1(C,E),k1_funct_1(B,k1_tarski(E)))) ) ) ) ) )).
fof(s1_funct_2__e6_22__zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(C,A,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) ) => ( ! [F] : ~ ( r2_hidden(F,u1_struct_0(k5_zmodul04(A))) & ! [G] : ~ ( r2_hidden(G,k3_numbers) & ( ( r2_hidden(F,E) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & F = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),H) & G = k3_funct_2(u1_struct_0(A),k4_numbers,C,H) ) ) | ( ~ r2_hidden(F,E) & G = k4_struct_0(k11_gaussint) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_zmodul04(A)),k3_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_zmodul04(A)),k3_numbers))) & ! [G] : ( r2_hidden(G,u1_struct_0(k5_zmodul04(A))) => ( ( r2_hidden(G,E) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(I,D) & G = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),I) & k1_funct_1(F,G) = k3_funct_2(u1_struct_0(A),k4_numbers,C,I) ) ) | ( ~ r2_hidden(G,E) & k1_funct_1(F,G) = k4_struct_0(k11_gaussint) ) ) ) ) ) ) )).
fof(s1_funct_2__e6_25__laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [F] : ~ ( r2_hidden(F,E) & ! [G] : ~ ( r2_hidden(G,k9_matrix_1(A)) & ! [H] : ( m1_matrix_1(H,k9_matrix_1(k1_nat_1(D,1))) => ( ( F = H & k1_funct_1(H,B) = C ) => G = k4_laplace(B,D,H) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,k9_matrix_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,k9_matrix_1(A)))) & ! [G] : ( r2_hidden(G,E) => ! [I] : ( m1_matrix_1(I,k9_matrix_1(k1_nat_1(D,1))) => ( ( G = I & k1_funct_1(I,B) = C ) => k1_funct_1(F,G) = k4_laplace(B,D,I) ) ) ) ) ) ) )).
fof(s1_funct_2__e6_56__simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( ! [B] : ~ ( r2_hidden(B,k4_simplex0(A)) & ! [C] : ~ ( r2_hidden(C,u1_pre_topc(A)) & ? [D] : ( D = C & r2_hidden(B,D) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_simplex0(A),u1_pre_topc(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(A),u1_pre_topc(A)))) & ! [C] : ( r2_hidden(C,k4_simplex0(A)) => ? [E] : ( E = k1_funct_1(B,C) & r2_hidden(C,E) ) ) ) ) ) )).
fof(s1_funct_2__e6_69__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [F] : ~ ( r2_hidden(F,k4_ordinal1) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(k3_compl_sp(A,B,C))) & ( k1_funct_1(E,F) != B => G = k4_tarski(D,k1_funct_1(E,F)) ) & ( k1_funct_1(E,F) = B => G = k4_tarski(C,k1_funct_1(E,F)) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k3_compl_sp(A,B,C))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_compl_sp(A,B,C))))) & ! [G] : ( r2_hidden(G,k4_ordinal1) => ( ( k1_funct_1(E,G) != B => k1_funct_1(F,G) = k4_tarski(D,k1_funct_1(E,G)) ) & ( k1_funct_1(E,G) = B => k1_funct_1(F,G) = k4_tarski(C,k1_funct_1(E,G)) ) ) ) ) ) ) )).
fof(s1_funct_2__e6_89__chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ( r2_hidden(F,k1_numbers) & ? [G] : ( m2_chord(G,A,B,C) & E = G & F = k4_card_1(G) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k1_numbers))) & ! [F] : ( r2_hidden(F,D) => ? [H] : ( m2_chord(H,A,B,C) & F = H & k1_funct_1(E,F) = k4_card_1(H) ) ) ) ) ) )).
fof(s1_funct_2__e7_11_1_2_1__mycielsk,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,B) & ! [F] : ~ ( r2_hidden(F,D) & ? [G] : ( G = E & r2_hidden(E,B) & F = k9_subset_1(A,G,C) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,D))) & ! [F] : ( r2_hidden(F,B) => ? [H] : ( H = F & r2_hidden(F,B) & k1_funct_1(E,F) = k9_subset_1(A,H,C) ) ) ) ) ) )).
fof(s1_funct_2__e7_19_1_1_2_1_2_1_1_1_1__matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & ( r2_hidden(D,k2_finseq_1(k1_nat_1(B,1))) => E = k1_funct_1(C,D) ) & ( ~ r2_hidden(D,k2_finseq_1(k1_nat_1(B,1))) => E = k4_struct_0(A) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ( ( r2_hidden(E,k2_finseq_1(k1_nat_1(B,1))) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ( ~ r2_hidden(E,k2_finseq_1(k1_nat_1(B,1))) => k1_funct_1(D,E) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s1_funct_2__e7_26_4__rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_rlaffin1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(C)))) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(A)) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( G = k1_funct_1(D,E) => ( r2_hidden(F,k3_convex1(A,B)) & r2_hidden(F,k1_rlaffin2(A,G)) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & ! [F] : ( r2_hidden(F,C) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ( H = k1_funct_1(D,F) => ( r2_hidden(k1_funct_1(E,F),k3_convex1(A,B)) & r2_hidden(k1_funct_1(E,F),k1_rlaffin2(A,H)) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e7_27__lp_space,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k1_numbers) & ? [E] : ( v7_ordinal1(E) & C = E & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [G] : ( v7_ordinal1(G) => k8_nat_1(k1_numbers,F,G) = k8_nat_1(k1_numbers,k2_rsspace(k1_normsp_0(A,B,G)),E) ) & v2_comseq_2(F) & D = k1_seq_2(F) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ? [H] : ( v7_ordinal1(H) & D = H & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [J] : ( v7_ordinal1(J) => k8_nat_1(k1_numbers,I,J) = k8_nat_1(k1_numbers,k2_rsspace(k1_normsp_0(A,B,J)),H) ) & v2_comseq_2(I) & k1_funct_1(C,D) = k1_seq_2(I) ) ) ) ) ) ) )).
fof(s1_funct_2__e7_27__metrizts,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,u1_pre_topc(A)) & ? [E] : ( E = D & k8_subset_1(u1_struct_0(A),B,E) = k1_tarski(C) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,u1_pre_topc(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_pre_topc(A)))) & ! [D] : ( r2_hidden(D,B) => ? [F] : ( F = k1_funct_1(C,D) & k8_subset_1(u1_struct_0(A),B,F) = k1_tarski(D) ) ) ) ) ) )).
fof(s1_funct_2__e7_30__simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(A)) & ? [E] : ? [F] : ( E = C & F = D & ( r2_tarski(F,B) | v1_xboole_0(F) ) & r2_xboole_0(F,E) & ! [G] : ( ( r2_tarski(G,B) & r2_xboole_0(G,E) ) => r1_tarski(G,F) ) & ! [G] : ~ ( r2_tarski(G,B) & r1_tarski(F,G) & r1_tarski(G,E) & G != E & G != F ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(A)))) & ! [D] : ( r2_hidden(D,B) => ? [H] : ? [I] : ( H = D & I = k1_funct_1(C,D) & ( r2_tarski(I,B) | v1_xboole_0(I) ) & r2_xboole_0(I,H) & ! [J] : ( ( r2_tarski(J,B) & r2_xboole_0(J,H) ) => r1_tarski(J,I) ) & ! [J] : ~ ( r2_tarski(J,B) & r1_tarski(I,J) & r1_tarski(J,H) & J != H & J != I ) ) ) ) ) ) )).
fof(s1_funct_2__e7_32_1_2__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(u1_pre_topc(A))) & ? [F] : ( F = E & ! [G] : ( v7_ordinal1(G) => ( G = D => ( E = a_4_4_metrizts(A,B,C,G) & r1_ordinal1(k1_card_1(F),k1_card_1(B)) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_pre_topc(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_pre_topc(A))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ? [H] : ( H = k1_funct_1(D,E) & ! [I] : ( v7_ordinal1(I) => ( I = E => ( k1_funct_1(D,E) = a_4_4_metrizts(A,B,C,I) & r1_ordinal1(k1_card_1(H),k1_card_1(B)) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e7_35_6__topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,B,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ( r2_hidden(F,B) & r2_hidden(E,k1_funct_1(C,F)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) & ! [F] : ( r2_hidden(F,D) => r2_hidden(F,k1_funct_1(C,k1_funct_1(E,F))) ) ) ) ) )).
fof(s1_funct_2__e7_39__waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ( r2_hidden(F,C) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & G = E & H = F & r3_orders_2(A,H,G) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,C))) & ! [F] : ( r2_hidden(F,D) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & I = F & J = k1_funct_1(E,F) & r3_orders_2(A,J,I) ) ) ) ) ) ) )).
fof(s1_funct_2__e7_43__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) & v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & r2_hidden(D,k1_funct_1(B,C)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => r2_hidden(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_funct_2__e7_44__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & r2_hidden(D,k1_funct_1(B,C)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => r2_hidden(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_funct_2__e7_4_2__bhsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(B)))) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ( r2_hidden(F,k1_numbers) & ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(G) & k1_funct_1(D,E) = G & F = k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,G,C) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => ? [H] : ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(H) & k1_funct_1(D,F) = H & k1_funct_1(E,F) = k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,H,C) ) ) ) ) ) )).
fof(s1_funct_2__e7_59__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m2_finseq_1(F,u1_struct_0(C)) ) => ( ! [G] : ~ ( r2_hidden(G,k4_finseq_1(F)) & ! [H] : ~ ( r2_hidden(H,u1_struct_0(B)) & r2_hidden(H,D) & k1_funct_1(E,H) = k1_funct_1(F,G) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_finseq_1(F),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(F),u1_struct_0(B)))) & ! [H] : ( r2_hidden(H,k4_finseq_1(F)) => ( r2_hidden(k1_funct_1(G,H),D) & k1_funct_1(E,k1_funct_1(G,H)) = k1_funct_1(F,H) ) ) ) ) ) )).
fof(s1_funct_2__e7_60_4_2__simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v6_ordinal1(B) & v1_finset_1(B) & v5_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k2_finseq_1(k4_card_1(k5_setfam_1(u1_struct_0(A),B)))) & ! [D] : ~ ( r2_hidden(D,B) & ? [E] : ( E = D & k1_card_1(E) = C ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_finseq_1(k4_card_1(k5_setfam_1(u1_struct_0(A),B))),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k4_card_1(k5_setfam_1(u1_struct_0(A),B))),B))) & ! [D] : ( r2_hidden(D,k2_finseq_1(k4_card_1(k5_setfam_1(u1_struct_0(A),B)))) => ? [F] : ( F = k1_funct_1(C,D) & k1_card_1(F) = D ) ) ) ) ) )).
fof(s1_funct_2__e7_69__card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ( ! [B] : ~ ( r2_hidden(B,k5_card_1(k4_card_1(A))) & ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( D = B & E = k6_xcmplx_0(k4_card_1(A),k1_nat_1(D,1)) ) => C = k7_newton(E) ) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k5_card_1(k4_card_1(A)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(k4_card_1(A)),k4_ordinal1))) & ! [C] : ( r2_hidden(C,k5_card_1(k4_card_1(A))) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( F = C & G = k6_xcmplx_0(k4_card_1(A),k1_nat_1(F,1)) ) => k1_funct_1(B,C) = k7_newton(G) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e8_132__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & m2_finseq_1(E,u1_struct_0(C)) ) => ( ! [F] : ~ ( r2_hidden(F,u1_struct_0(k6_prvect_1(C,B))) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(C)) & ! [H] : ( m1_subset_1(H,u1_struct_0(k6_prvect_1(C,B))) => ( F = H => ( ( ~ r2_tarski(H,k9_matrix13(C,A,B,D)) => G = k4_struct_0(C) ) & ( r2_tarski(H,k9_matrix13(C,A,B,D)) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k2_finseq_1(A)) & H = k7_matrix_0(u1_struct_0(C),D,I) ) => G = k1_funct_1(E,I) ) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k6_prvect_1(C,B)),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_prvect_1(C,B)),u1_struct_0(C)))) & ! [G] : ( r2_hidden(G,u1_struct_0(k6_prvect_1(C,B))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k6_prvect_1(C,B))) => ( G = J => ( ( ~ r2_tarski(J,k9_matrix13(C,A,B,D)) => k1_funct_1(F,G) = k4_struct_0(C) ) & ( r2_tarski(J,k9_matrix13(C,A,B,D)) => ! [K] : ( v7_ordinal1(K) => ( ( r2_tarski(K,k2_finseq_1(A)) & J = k7_matrix_0(u1_struct_0(C),D,K) ) => k1_funct_1(F,G) = k1_funct_1(E,K) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e8_157__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & D = k1_funct_1(B,E) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) & ! [E] : ( r2_hidden(E,C) => E = k1_funct_1(B,k1_funct_1(D,E)) ) ) ) ) )).
fof(s1_funct_2__e8_23_1_1__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) ) => ( ! [E] : ~ ( r2_hidden(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C)) & ! [F] : ~ ( r2_hidden(F,k9_funct_2(u1_struct_0(A),k1_numbers)) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = E & G = F & v1_pscomp_1(G,A) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k1_numbers,G,I)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,G,I),1) & ( r2_tarski(I,k3_subset_1(u1_struct_0(A),H)) => k3_funct_2(u1_struct_0(A),k1_numbers,G,I) = k5_numbers ) & ( r2_tarski(I,k2_pre_topc(A,k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)),D,H))) => k3_funct_2(u1_struct_0(A),k1_numbers,G,I) = 1 ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)))) & ! [F] : ( r2_hidden(F,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C)) => ? [J] : ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(A),k1_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ? [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) & K = F & J = k1_funct_1(E,F) & v1_pscomp_1(J,A) & ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k1_numbers,J,L)) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,J,L),1) & ( r2_tarski(L,k3_subset_1(u1_struct_0(A),K)) => k3_funct_2(u1_struct_0(A),k1_numbers,J,L) = k5_numbers ) & ( r2_tarski(L,k2_pre_topc(A,k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)),D,K))) => k3_funct_2(u1_struct_0(A),k1_numbers,J,L) = 1 ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e8_31_1_2__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & ~ v1_finset_1(B) & v1_card_1(B) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(u1_struct_0(A))) & ! [F] : ( v7_ordinal1(F) => ~ ( D = F & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ~ ( G = E & r1_ordinal1(k1_card_1(G),B) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ? [I] : ( m1_subset_1(I,u1_struct_0(C)) & r2_tarski(I,G) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,F)),k3_metric_1(C,H,I)) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ! [J] : ( v7_ordinal1(J) => ~ ( E = J & ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ~ ( K = k1_funct_1(D,E) & r1_ordinal1(k1_card_1(K),B) & ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => ? [M] : ( m1_subset_1(M,u1_struct_0(C)) & r2_tarski(M,K) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,J)),k3_metric_1(C,L,M)) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e8_55__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(u1_struct_0(A))) & ? [F] : ( F = E & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( G = D => ( ( ? [H] : ( r2_tarski(H,C) & r1_tarski(G,H) ) => ( r2_hidden(E,C) & r1_tarski(G,F) ) ) & ( ! [H] : ~ ( r2_tarski(H,C) & r1_tarski(G,H) ) => E = k1_xboole_0 ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,B) => ? [I] : ( I = k1_funct_1(D,E) & ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ( J = E => ( ( ? [K] : ( r2_tarski(K,C) & r1_tarski(J,K) ) => ( r2_hidden(k1_funct_1(D,E),C) & r1_tarski(J,I) ) ) & ( ! [K] : ~ ( r2_tarski(K,C) & r1_tarski(J,K) ) => k1_funct_1(D,E) = k1_xboole_0 ) ) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e8_57__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,k3_setfam_1(B,k6_domain_1(k1_zfmisc_1(A),C))) & ? [F] : ( F = E & r2_hidden(D,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k3_setfam_1(B,k6_domain_1(k1_zfmisc_1(A),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k3_setfam_1(B,k6_domain_1(k1_zfmisc_1(A),C))))) & ! [E] : ( r2_hidden(E,C) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,G) ) ) ) ) ) )).
fof(s1_funct_2__e8_67_1_1_3__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_finset_1(C) & v1_finset_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,k2_zfmisc_1(C,D)) & ! [F] : ~ ( r2_hidden(F,a_2_7_card_fin(A,B)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( E = k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(B,B)),k1_zfmisc_1(k2_zfmisc_1(A,B)),G,H) => F = k1_partfun1(A,B,B,B,H,G) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,D),a_2_7_card_fin(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),a_2_7_card_fin(A,B)))) & ! [F] : ( r2_hidden(F,k2_zfmisc_1(C,D)) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,B,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,A,B) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( F = k1_domain_1(k1_zfmisc_1(k2_zfmisc_1(B,B)),k1_zfmisc_1(k2_zfmisc_1(A,B)),I,J) => k1_funct_1(E,F) = k1_partfun1(A,B,B,B,J,I) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e8_68__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ~ ( r2_hidden(E,k2_finseq_1(D)) & ! [F] : ~ ( r2_hidden(F,k2_finseq_1(D)) & ! [G] : ( v7_ordinal1(G) => ( E = G => F = k1_nat_1(k1_recdef_1(C,k6_xcmplx_0(G,1)),1) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_finseq_1(D),k2_finseq_1(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(D),k2_finseq_1(D)))) & ! [F] : ( r2_hidden(F,k2_finseq_1(D)) => ! [H] : ( v7_ordinal1(H) => ( F = H => k1_funct_1(E,F) = k1_nat_1(k1_recdef_1(C,k6_xcmplx_0(H,1)),1) ) ) ) ) ) ) )).
fof(s1_funct_2__e9_15__cantor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(B)) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A))) & D = k8_setfam_1(A,F) & F = E & v1_finset_1(F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(B)))) & ! [E] : ( r2_hidden(E,C) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(A))) & E = k8_setfam_1(A,G) & G = k1_funct_1(D,E) & v1_finset_1(G) ) ) ) ) ) )).
fof(s1_funct_2__e9_18__topgen_6,axiom,( ! [A] : ! [B] : ( ( m1_pre_topc(A,k1_topgen_6) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k1_numbers) & ! [D] : ~ ( r2_hidden(D,B) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & C = E & D = k1_tarski(k4_tarski(E,F)) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,B))) & ! [D] : ( r2_hidden(D,k1_numbers) => ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & D = G & k1_funct_1(C,D) = k1_tarski(k4_tarski(G,H)) ) ) ) ) ) ) )).
fof(s1_funct_2__e9_29_3__nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v4_card_3(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(A,A)))))) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(A,A)))))) & v2_nagata_1(D,k1_compts_1(k2_zfmisc_1(A,A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(A,A)))))))) ) => ( ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & ! [F] : ~ ( r2_hidden(F,B) & ( ( r2_hidden(F,k1_funct_1(D,E)) & ~ v1_xboole_0(k1_funct_1(D,E)) ) | ( F = k2_xboole_0(k2_zfmisc_1(k6_domain_1(A,C),A),k2_zfmisc_1(A,k6_domain_1(A,C))) & v1_xboole_0(k1_funct_1(D,E)) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => ( ( r2_hidden(k1_funct_1(E,F),k1_funct_1(D,F)) & ~ v1_xboole_0(k1_funct_1(D,F)) ) | ( k1_funct_1(E,F) = k2_xboole_0(k2_zfmisc_1(k6_domain_1(A,C),A),k2_zfmisc_1(A,k6_domain_1(A,C))) & v1_xboole_0(k1_funct_1(D,F)) ) ) ) ) ) ) )).
fof(s1_funct_2__e9_29__isocat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k6_cat_2(A,B),C) & m2_cat_1(E,k6_cat_2(A,B),C) & m2_nattra_1(F,k6_cat_2(A,B),C,D,E) ) => ( ! [G] : ~ ( r2_hidden(G,u1_struct_0(A)) & ! [H] : ~ ( r2_hidden(H,u4_struct_0(k9_nattra_1(B,C))) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)))) ) => ( ( r1_funct_2(u1_struct_0(k6_cat_2(A,B)),u4_struct_0(C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F,J) & G = I ) => H = k4_tarski(k7_cat_2(k9_nattra_1(B,C),k9_nattra_1(B,C),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k10_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),k9_funct_2(u1_struct_0(B),u4_struct_0(C)),k11_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),J),I)) ) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u4_struct_0(k9_nattra_1(B,C))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(k9_nattra_1(B,C))))) & ! [H] : ( r2_hidden(H,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)))) ) => ( ( r1_funct_2(u1_struct_0(k6_cat_2(A,B)),u4_struct_0(C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F,L) & H = K ) => k1_funct_1(G,H) = k4_tarski(k7_cat_2(k9_nattra_1(B,C),k9_nattra_1(B,C),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),K),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,E),K)),k10_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),k9_funct_2(u1_struct_0(B),u4_struct_0(C)),k11_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),L),K)) ) ) ) ) ) ) ) )).
fof(s1_funct_2__e9_77__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) & v1_funct_1(C) & v1_funct_2(C,B,k5_card_1(k4_card_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k5_card_1(k4_card_1(B))))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,B) & ! [F] : ( v7_ordinal1(F) => ( F = D => ( ( ~ r1_xxreal_0(A,F) => E = k1_funct_1(k2_funct_1(C),k1_nat_1(k2_stirl2_1(B,k4_card_1(B),C,F),1)) ) & ( F = A => E = k1_funct_1(k2_funct_1(C),k5_numbers) ) & ( ~ r1_xxreal_0(F,A) => E = F ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ! [E] : ( r2_hidden(E,B) => ! [G] : ( v7_ordinal1(G) => ( G = E => ( ( ~ r1_xxreal_0(A,G) => k1_funct_1(D,E) = k1_funct_1(k2_funct_1(C),k1_nat_1(k2_stirl2_1(B,k4_card_1(B),C,G),1)) ) & ( G = A => k1_funct_1(D,E) = k1_funct_1(k2_funct_1(C),k5_numbers) ) & ( ~ r1_xxreal_0(G,A) => k1_funct_1(D,E) = G ) ) ) ) ) ) ) ) )).
fof(s1_funct_5__e1_63__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_funct_2(k2_xboole_0(B,C),A) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_funct_2(k2_xboole_0(B,C),A)) => k1_funct_1(D,E) = k4_tarski(k5_relat_1(E,B),k5_relat_1(E,C)) ) ) ) )).
fof(s1_funct_5__e1_64__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_funct_2(k2_zfmisc_1(A,B),C) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_funct_2(k2_zfmisc_1(A,B),C)) => k1_funct_1(D,E) = k1_funct_5(E) ) ) ) )).
fof(s1_funct_5__e1_65__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_funct_2(C,k2_zfmisc_1(A,B)) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_funct_2(C,k2_zfmisc_1(A,B))) => k1_funct_1(D,E) = k4_tarski(k3_relat_1(E,k9_funct_3(A,B)),k3_relat_1(E,k10_funct_3(A,B))) ) ) ) )).
fof(s1_funct_5__e1_66__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k9_funct_2(A,k2_tarski(B,C)) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k9_funct_2(A,k2_tarski(B,C))) => k1_funct_1(D,E) = k8_relat_1(E,k1_tarski(B)) ) ) ) )).
fof(s1_funct_5__e1_67__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_funct_2(k2_tarski(B,C),A) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_funct_2(k2_tarski(B,C),A)) => k1_funct_1(D,E) = k4_tarski(k1_funct_1(E,B),k1_funct_1(E,C)) ) ) ) )).
fof(s1_funct_5__e1_7__topgen_5,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_card_3(k10_finseq_1(A,B)) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k4_card_3(k10_finseq_1(A,B))) => k1_funct_1(C,D) = k4_tarski(k1_funct_1(D,1),k1_funct_1(D,2)) ) ) ) )).
fof(s1_funct_5__e2_61_1__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k1_funct_2(A,B) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r2_tarski(F,k1_funct_2(A,B)) => k1_funct_1(E,F) = k3_relat_1(k3_relat_1(C,F),D) ) ) ) ) )).
fof(s1_funct_5__e4_42__card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_card_3(B) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k4_card_3(B)) => k1_funct_1(C,D) = k5_relat_1(D,k9_xtuple_0(A)) ) ) ) ) )).
fof(s1_funct_7__e12_116_4_4__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v6_waybel_0(D,A) & v7_waybel_0(D) & v1_yellow_6(D,A) & l1_waybel_0(D,A) & v4_waybel_3(E) & m3_yellow_6(E,u1_struct_0(D),A) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(D)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(D)) & v1_relat_1(G) & v2_relat_1(G) & v4_relat_1(G,u1_struct_0(D)) & v1_funct_1(G) & v1_partfun1(G,u1_struct_0(D)) & m2_pboole(H,u1_struct_0(D),F,G) ) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(D)) => ! [J] : ( m1_subset_1(J,u1_struct_0(k4_yellow_1(u1_struct_0(D),E))) => r2_hidden(k1_funct_1(k1_funct_1(H,I),k4_waybel_3(u1_struct_0(D),E,J,I)),u1_struct_0(C)) ) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(u1_struct_0(D),u1_struct_0(k4_yellow_1(u1_struct_0(D),E))),u1_struct_0(C)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(k4_yellow_1(u1_struct_0(D),E))),u1_struct_0(C)))) & ! [J] : ( m1_subset_1(J,u1_struct_0(D)) => ! [K] : ( m1_subset_1(K,u1_struct_0(k4_yellow_1(u1_struct_0(D),E))) => k2_binop_1(u1_struct_0(D),u1_struct_0(k4_yellow_1(u1_struct_0(D),E)),u1_struct_0(C),I,J,K) = k1_funct_1(k1_funct_1(H,J),k4_waybel_3(u1_struct_0(D),E,K,J)) ) ) ) ) ) )).
fof(s1_funct_7__e20_22__euler_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ( ! [F] : ( m1_subset_1(F,C) => ! [G] : ( m1_subset_1(G,D) => r2_hidden(k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(A,F),k3_xcmplx_0(B,G)),k3_xcmplx_0(A,B)),E) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,D),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),E))) & ! [G] : ( m1_subset_1(G,C) => ! [H] : ( m1_subset_1(H,D) => k2_binop_1(C,D,E,F,G,H) = k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(A,G),k3_xcmplx_0(B,H)),k3_xcmplx_0(A,B)) ) ) ) ) ) )).
fof(s1_funct_7__e2_138_1_3__pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v4_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( ! [F] : ( m1_subset_1(F,D) => ! [G] : ( m1_subset_1(G,E) => r2_hidden(k1_funct_7(F,B,G),k18_pre_poly(A,C)) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(D,E),k18_pre_poly(A,C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,E),k18_pre_poly(A,C)))) & ! [G] : ( m1_subset_1(G,D) => ! [H] : ( m1_subset_1(H,E) => k2_binop_1(D,E,k18_pre_poly(A,C),F,G,H) = k1_funct_7(G,B,H) ) ) ) ) ) )).
fof(s1_funct_7__e3_24__wellfnd1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_finset_1(B) & v1_card_1(B) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k3_rfunct_3(u1_struct_0(A),k2_card_1(B))) => r2_hidden(k3_ordinal2(k2_relset_1(k2_card_1(B),D)),k2_card_1(B)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),k2_card_1(B))),k2_card_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),k2_card_1(B))),k2_card_1(B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k3_rfunct_3(u1_struct_0(A),k2_card_1(B))) => k2_binop_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),k2_card_1(B)),k2_card_1(B),C,D,E) = k3_ordinal2(k2_relset_1(k2_card_1(B),E)) ) ) ) ) ) )).
fof(s1_funct_7__e6_90__polynom5,axiom,( ! [A] : ( m1_subset_1(A,k9_funct_2(k2_numbers,k2_numbers)) => ! [B] : ( m1_subset_1(B,k9_funct_2(k2_numbers,k2_numbers)) => r2_hidden(k2_valued_1(k2_numbers,k2_numbers,k2_numbers,A,B),k9_funct_2(k2_numbers,k2_numbers)) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k9_funct_2(k2_numbers,k2_numbers),k9_funct_2(k2_numbers,k2_numbers)),k9_funct_2(k2_numbers,k2_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(k2_numbers,k2_numbers),k9_funct_2(k2_numbers,k2_numbers)),k9_funct_2(k2_numbers,k2_numbers)))) & ! [B] : ( m1_subset_1(B,k9_funct_2(k2_numbers,k2_numbers)) => ! [C] : ( m1_subset_1(C,k9_funct_2(k2_numbers,k2_numbers)) => k2_binop_1(k9_funct_2(k2_numbers,k2_numbers),k9_funct_2(k2_numbers,k2_numbers),k9_funct_2(k2_numbers,k2_numbers),A,B,C) = k2_valued_1(k2_numbers,k2_numbers,k2_numbers,B,C) ) ) ) )).
fof(s1_functor0__e2_57_3__functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) & ~ v2_struct_0(B) & l1_altcat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_altcat_1(B,C,C)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => ( u2_functor0(A,B,k9_functor0(A,B,C,D)) = a_4_3_functor0(A,B,C,D) => k1_binop_1(u2_functor0(A,B,k9_functor0(A,B,C,D)),E,F) = k7_funcop_1(k1_binop_1(u1_altcat_1(A),E,F),D) ) ) )).
fof(s1_glib_000__e3_76__glib_002,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( k15_glib_000(A) = 1 => ( v1_glib_002(A) => r1_xxreal_0(k15_glib_000(A),k1_nat_1(k17_glib_000(A),1)) ) ) ) & ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) ) => ( k15_glib_000(B) = A => ( v1_glib_002(B) => r1_xxreal_0(k15_glib_000(B),k1_nat_1(k17_glib_000(B),1)) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) ) => ( k15_glib_000(B) = k1_nat_1(A,1) => ( v1_glib_002(B) => r1_xxreal_0(k15_glib_000(B),k1_nat_1(k17_glib_000(B),1)) ) ) ) ) ) ) => ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( v1_glib_002(A) => r1_xxreal_0(k15_glib_000(A),k1_nat_1(k17_glib_000(A),1)) ) ) )).
fof(s1_group_4__e4_39__group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ? [C] : ( v15_algstr_0(C) & m1_group_2(C,A) & r1_tarski(B,k8_group_2(A,C)) ) => ? [C] : ( v15_algstr_0(C) & m1_group_2(C,A) & u1_struct_0(C) = k1_setfam_1(a_2_0_group_4(A,B)) ) ) ) )).
fof(s1_group_9__e4_96__group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ? [D] : ( v2_group_9(D,A) & m1_group_9(D,A,B) & r1_tarski(C,k15_group_9(A,B,D)) ) => ? [D] : ( v2_group_9(D,A) & m1_group_9(D,A,B) & u1_struct_0(D) = k1_setfam_1(a_3_0_group_9(A,B,C)) ) ) ) )).
fof(s1_hilbert2__e4_45__hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( ( ? [B] : ( m1_subset_1(B,k1_hilbert1) & B = k1_funct_1(k3_hilbert2(A),k6_finseq_1(k4_ordinal1)) & k5_trees_2(k3_hilbert2(A),k6_finseq_1(k4_ordinal1)) = k3_hilbert2(B) ) & ! [C] : ( m1_trees_1(C,k9_xtuple_0(k3_hilbert2(A))) => ( ? [D] : ( m1_subset_1(D,k1_hilbert1) & D = k1_funct_1(k3_hilbert2(A),C) & k5_trees_2(k3_hilbert2(A),C) = k3_hilbert2(D) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(k8_finseq_1(k4_ordinal1,C,k14_trees_3(E)),k9_xtuple_0(k3_hilbert2(A))) => ? [F] : ( m1_subset_1(F,k1_hilbert1) & F = k1_funct_1(k3_hilbert2(A),k8_finseq_1(k4_ordinal1,C,k14_trees_3(E))) & k5_trees_2(k3_hilbert2(A),k8_finseq_1(k4_ordinal1,C,k14_trees_3(E))) = k3_hilbert2(F) ) ) ) ) ) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k3_hilbert2(A))) => ? [G] : ( m1_subset_1(G,k1_hilbert1) & G = k1_funct_1(k3_hilbert2(A),C) & k5_trees_2(k3_hilbert2(A),C) = k3_hilbert2(G) ) ) ) ) )).
fof(s1_integr20__e3_22__integr20,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k3_finseq_2(u1_struct_0(A)),D,k3_xcmplx_0(2,E)) = k10_funct_2(k4_ordinal1,k3_finseq_2(u1_struct_0(A)),B,E) & k8_nat_1(k3_finseq_2(u1_struct_0(A)),D,k1_nat_1(k3_xcmplx_0(2,E),1)) = k10_funct_2(k4_ordinal1,k3_finseq_2(u1_struct_0(A)),C,E) ) ) ) ) )).
fof(s1_integr20__e6_20__integr20,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(k3_finseq_2(k1_numbers),C,k3_xcmplx_0(2,D)) = k10_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),A,D) & k8_nat_1(k3_finseq_2(k1_numbers),C,k1_nat_1(k3_xcmplx_0(2,D),1)) = k10_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),B,D) ) ) ) ) )).
fof(s1_jgraph_2__e10_26__jgraph_3,axiom,( m1_subset_1(a_0_17_jgraph_3,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e10_27__jgraph_3,axiom,( m1_subset_1(a_0_20_jgraph_3,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e10_48__jgraph_2,axiom,( m1_subset_1(a_0_15_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e10_49__jgraph_2,axiom,( m1_subset_1(a_0_16_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e11_15__jgraph_5,axiom,( m1_subset_1(a_0_4_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e11_51__jgraph_3,axiom,( m1_subset_1(a_0_17_jgraph_3,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e12_52__jgraph_3,axiom,( m1_subset_1(a_0_20_jgraph_3,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e12_72_1_2__jgraph_5,axiom,( m1_subset_1(a_0_1_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e12_73_1_2__jgraph_5,axiom,( m1_subset_1(a_0_1_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e12_74_1_2__jgraph_5,axiom,( m1_subset_1(a_0_1_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e15_72_1_2__jgraph_5,axiom,( m1_subset_1(a_0_2_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e15_73_1_2__jgraph_5,axiom,( m1_subset_1(a_0_2_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e15_74_1_2__jgraph_5,axiom,( m1_subset_1(a_0_2_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e15_75_1_2__jgraph_5,axiom,( m1_subset_1(a_0_1_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e17_72_1_2__jgraph_5,axiom,( m1_subset_1(a_0_3_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e17_73_1_2__jgraph_5,axiom,( m1_subset_1(a_0_3_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e17_74_1_2__jgraph_5,axiom,( m1_subset_1(a_0_3_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e18_75_1_2__jgraph_5,axiom,( m1_subset_1(a_0_2_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e19_72_1_2__jgraph_5,axiom,( m1_subset_1(a_0_4_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e19_73_1_2__jgraph_5,axiom,( m1_subset_1(a_0_4_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e19_74_1_2__jgraph_5,axiom,( m1_subset_1(a_0_4_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e1_42__jgraph_4,axiom,( m1_subset_1(a_0_5_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e1_43__jgraph_4,axiom,( m1_subset_1(a_0_0_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e1_44__jgraph_4,axiom,( m1_subset_1(a_0_6_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e1_57__jgraph_2,axiom,( m1_subset_1(a_0_2_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e1_79__jgraph_4,axiom,( m1_subset_1(a_0_7_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e1_80__jgraph_4,axiom,( m1_subset_1(a_0_8_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e20_75_1_2__jgraph_5,axiom,( m1_subset_1(a_0_3_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e22_19_1_2__jgraph_6,axiom,( m1_subset_1(a_0_2_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e22_20_1_2__jgraph_6,axiom,( m1_subset_1(a_0_2_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e22_75_1_2__jgraph_5,axiom,( m1_subset_1(a_0_4_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e24_19_1_2__jgraph_6,axiom,( m1_subset_1(a_0_3_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e24_20_1_2__jgraph_6,axiom,( m1_subset_1(a_0_3_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e26_19_1_2__jgraph_6,axiom,( m1_subset_1(a_0_4_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e26_20_1_2__jgraph_6,axiom,( m1_subset_1(a_0_4_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e28_19_1_2__jgraph_6,axiom,( m1_subset_1(a_0_5_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e28_20_1_2__jgraph_6,axiom,( m1_subset_1(a_0_5_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_109__jgraph_4,axiom,( m1_subset_1(a_0_6_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_110__jgraph_4,axiom,( m1_subset_1(a_0_6_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_141__jgraph_4,axiom,( m1_subset_1(a_0_8_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_142__jgraph_4,axiom,( m1_subset_1(a_0_8_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_20__borsuk_6,axiom,( m1_subset_1(a_0_0_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_21__borsuk_6,axiom,( m1_subset_1(a_0_2_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_22__borsuk_6,axiom,( m1_subset_1(a_0_6_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_23__borsuk_6,axiom,( m1_subset_1(a_0_4_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_36__jgraph_4,axiom,( m1_subset_1(a_0_5_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_39__jgraph_4,axiom,( m1_subset_1(a_0_5_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_75__jgraph_4,axiom,( m1_subset_1(a_0_7_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e2_76__jgraph_4,axiom,( m1_subset_1(a_0_7_jgraph_4,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e3_109__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_18_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e3_110__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_23_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e3_141__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_21_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e3_142__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_26_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e3_36__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_18_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e3_39__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_23_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e3_75__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_21_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e3_76__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_26_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s1_jgraph_2__e4_15__jgraph_5,axiom,( m1_subset_1(a_0_1_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e5_52__jgraph_2,axiom,( m1_subset_1(a_0_3_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e7_15__jgraph_5,axiom,( m1_subset_1(a_0_2_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_2__e9_15__jgraph_5,axiom,( m1_subset_1(a_0_3_jgraph_5,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s1_jgraph_3__e8_26__jgraph_3,axiom,( r1_tarski(a_0_0_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s1_jgraph_3__e8_27__jgraph_3,axiom,( r1_tarski(a_0_1_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s1_jgraph_3__e9_51__jgraph_3,axiom,( r1_tarski(a_0_0_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s1_jgraph_3__e9_52__jgraph_3,axiom,( r1_tarski(a_0_1_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s1_jgraph_4__e12_150__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_3_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_jgraph_4__e15_150__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_2_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_jgraph_4__e17_118__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_0_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_jgraph_4__e17_50__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_1_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_jgraph_4__e17_86__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_3_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_jgraph_4__e8_118__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_1_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_jgraph_4__e8_50__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_0_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_jgraph_4__e8_86__jgraph_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => r1_tarski(a_0_2_jgraph_4,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) ) ) )).
fof(s1_lattice3__e2_21__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) ) => ( ? [D] : ( m1_subset_1(D,k4_partfun1(C,C)) & k9_xtuple_0(D) = C ) => a_3_6_heyting2(A,B,C) = k1_tarski(k1_xboole_0) ) ) )).
fof(s1_lattice3__e3_38_2__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ? [E] : m1_subset_1(E,u1_struct_0(k6_waybel_9(A,B,D,k3_yellow_9(A,C)))) => a_4_1_waybel21(A,B,C,D) = k1_tarski(k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C))) ) ) )).
fof(s1_lattice3__e3_91_6_3_1_1_2__lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,u1_struct_0(g1_orders_2(A,B))) ) => ( ? [E] : ( m1_subset_1(E,A) & r2_tarski(E,C) ) => a_4_1_lattice3(A,B,C,D) = k1_tarski(D) ) ) )).
fof(s1_lattice3__e3_91_8_2_1_1_2__lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v3_lattices(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,u1_struct_0(k3_lattice3(B))) ) => ( ? [E] : ( m1_subset_1(E,A) & r2_tarski(E,C) ) => a_4_2_lattice3(A,B,C,D) = k1_tarski(D) ) ) )).
fof(s1_lattice3__e4_37__waybel21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ? [C] : m1_subset_1(C,u1_struct_0(k3_yellow_9(A,B))) => a_2_6_waybel21(A,B) = k1_tarski(k2_yellow_0(A,B)) ) ) )).
fof(s1_lattice7__e2_22_1__lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_orders_2(A,C,B) => k1_yellow_0(A,k9_subset_1(u1_struct_0(A),k5_waybel_0(A,C),k3_lattice7(A))) = C ) ) => k1_yellow_0(A,k9_subset_1(u1_struct_0(A),k5_waybel_0(A,B),k3_lattice7(A))) = B ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_yellow_0(A,k9_subset_1(u1_struct_0(A),k5_waybel_0(A,B),k3_lattice7(A))) = B ) ) ) )).
fof(s1_lfuzzy_0__e2_60_6__lfuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),a_2_8_lfuzzy_1(A,B)) = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),a_2_9_lfuzzy_1(A,B)) ) )).
fof(s1_lopban_6__e25_16_2_1__lopban_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(B)) & v1_xreal_0(F) & m1_subset_1(G,u1_struct_0(A)) ) => ( ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ( r2_tarski(J,k1_lopban_5(A,I,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),H))) => ( r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(H,1)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,J),E))) | ( r2_tarski(K,k1_lopban_5(A,J,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(H,1)))) & ~ r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(H,2)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,K),E))) ) ) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k8_nat_1(u1_struct_0(A),H,k5_numbers) = k4_struct_0(A) & k8_nat_1(u1_struct_0(A),H,1) = G & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(k8_nat_1(u1_struct_0(A),H,k1_nat_1(I,1)),k1_lopban_5(A,k8_nat_1(u1_struct_0(A),H,I),k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),I))) => ( r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(I,1)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k8_nat_1(u1_struct_0(A),H,k1_nat_1(I,1))),E))) | ( r2_tarski(k8_nat_1(u1_struct_0(A),H,k1_nat_1(I,2)),k1_lopban_5(A,k8_nat_1(u1_struct_0(A),H,k1_nat_1(I,1)),k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(I,1)))) & ~ r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(I,2)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k8_nat_1(u1_struct_0(A),H,k1_nat_1(I,2))),E))) ) ) ) ) ) ) ) )).
fof(s1_matrix_0__e11_45__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,C) & v9_vectsp_1(D,C) & v10_vectsp_1(D,C) & v11_vectsp_1(D,C) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,C) & l1_vectsp_1(D,C) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),B,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) & m1_subset_1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m2_finseq_1(H,u1_struct_0(C)) & m2_finseq_1(I,u1_struct_0(D)) ) => ? [J] : ( v1_matrix_0(J) & v2_matrix_0(J,u1_struct_0(D),F,G) & m2_finseq_1(J,k3_finseq_2(u1_struct_0(D))) & ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ( r2_hidden(k4_tarski(K,L),k2_matrix_0(J)) => k3_matrix_0(u1_struct_0(D),J,K,L) = k3_vectsp_1(C,D,k6_algstr_0(C,k7_partfun1(u1_struct_0(C),H,K),k3_matrix_0(u1_struct_0(C),E,K,L)),k7_partfun1(u1_struct_0(D),I,L)) ) ) ) ) ) )).
fof(s1_matrix_0__e16_60_1_1_1__matrix14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => ? [F] : ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),B,B) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( r2_hidden(k4_tarski(G,H),k2_matrix_0(F)) => k3_matrix_0(u1_struct_0(A),F,G,H) = k3_matrix_0(u1_struct_0(A),k4_matrix_3(A,k4_matrix_3(A,D,C),E),k1_nat_1(G,1),k1_nat_1(H,1)) ) ) ) ) ) )).
fof(s1_matrix_0__e20_60_1_1_1__matrix14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => ? [F] : ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),B,B) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( r2_hidden(k4_tarski(G,H),k2_matrix_0(F)) => k3_matrix_0(u1_struct_0(A),F,G,H) = k3_matrix_0(u1_struct_0(A),k4_matrix_3(A,k4_matrix_3(A,k1_matrix_6(k1_nat_1(B,1),A,E),C),k1_matrix_6(k1_nat_1(B,1),A,D)),k1_nat_1(G,1),k1_nat_1(H,1)) ) ) ) ) ) )).
fof(s1_matrix_0__e2_12__matrixr1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ? [D] : ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(C)) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(A),D,E,F) = k13_fvsum_1(A,k7_matrix_0(u1_struct_0(A),B,E),k8_matrix_0(u1_struct_0(A),C,F)) ) ) ) ) ) )).
fof(s1_matrix_0__e31_60_1_1_1__matrix14,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ? [D] : ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(A),D,E,F) = k16_funcop_1(u1_struct_0(A),E,1,k16_funcop_1(u1_struct_0(A),F,1,k5_struct_0(A),k4_struct_0(A)),k16_funcop_1(u1_struct_0(A),F,1,k4_struct_0(A),k3_matrix_0(u1_struct_0(A),C,k7_nat_d(E,1),k7_nat_d(F,1)))) ) ) ) ) ) )).
fof(s1_matrix_0__e3_52__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & m1_matrlin(D,A,B) & m1_matrlin(E,A,C) & m2_finseq_1(F,u1_struct_0(C)) ) => ? [G] : ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(E)) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(A))) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( r2_hidden(k4_tarski(H,I),k2_matrix_0(G)) => k3_matrix_0(u1_struct_0(A),G,H,I) = k7_partfun1(u1_struct_0(A),k9_matrlin(A,C,E,k7_partfun1(u1_struct_0(C),F,H)),I) ) ) ) ) ) )).
fof(s1_matrix_9__e7_67__matrix_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & ~ v1_xboole_0(D) & m1_subset_1(D,k5_finsub_1(k9_matrix_1(B))) ) => ( ( ! [E] : ( m1_matrix_1(E,k9_matrix_1(B)) => ( r2_tarski(E,D) => k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),k1_tarski(E),k1_matrix_9(B,A,C)) = k4_struct_0(A) ) ) & ! [E] : ( m1_matrix_1(E,k9_matrix_1(B)) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k5_finsub_1(k9_matrix_1(B))) ) => ( ( r2_tarski(E,D) & r1_tarski(F,D) & k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),F,k1_matrix_9(B,A,C)) = k4_struct_0(A) ) => ( r2_tarski(E,F) | k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),k2_xboole_0(F,k1_tarski(E)),k1_matrix_9(B,A,C)) = k4_struct_0(A) ) ) ) ) ) => k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),D,k1_matrix_9(B,A,C)) = k4_struct_0(A) ) ) )).
fof(s1_matrix_9__e8_65__matrix_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & ~ v1_xboole_0(D) & m1_subset_1(D,k5_finsub_1(k9_matrix_1(B))) ) => ( ( ! [E] : ( m1_matrix_1(E,k9_matrix_1(B)) => ( r2_tarski(E,D) => k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),k1_tarski(E),k11_matrix_3(B,A,C)) = k4_struct_0(A) ) ) & ! [E] : ( m1_matrix_1(E,k9_matrix_1(B)) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k5_finsub_1(k9_matrix_1(B))) ) => ( ( r2_tarski(E,D) & r1_tarski(F,D) & k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),F,k11_matrix_3(B,A,C)) = k4_struct_0(A) ) => ( r2_tarski(E,F) | k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),k2_xboole_0(F,k1_tarski(E)),k11_matrix_3(B,A,C)) = k4_struct_0(A) ) ) ) ) ) => k7_setwiseo(k9_matrix_1(B),u1_struct_0(A),u1_algstr_0(A),D,k11_matrix_3(B,A,C)) = k4_struct_0(A) ) ) )).
fof(s1_mcart_1__e7_10__compts_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ! [F] : ~ ( r2_hidden(E,u1_pre_topc(A)) & r2_hidden(F,u1_pre_topc(A)) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & E = G & F = H & v3_pre_topc(G,A) & v3_pre_topc(H,A) & r2_tarski(C,G) & r2_hidden(D,H) & k9_subset_1(u1_struct_0(A),G,H) = k1_xboole_0 ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(D) = B & k9_xtuple_0(E) = B & ! [F] : ( r2_hidden(F,B) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & k1_funct_1(D,F) = I & k1_funct_1(E,F) = J & v3_pre_topc(I,A) & v3_pre_topc(J,A) & r2_tarski(C,I) & r2_hidden(F,J) & k9_subset_1(u1_struct_0(A),I,J) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s1_mcart_1__e9_16__compts_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ! [F] : ~ ( r2_hidden(E,u1_pre_topc(A)) & r2_hidden(F,u1_pre_topc(A)) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & E = G & F = H & v3_pre_topc(G,A) & v3_pre_topc(H,A) & r2_hidden(D,G) & r1_tarski(C,H) & k9_subset_1(u1_struct_0(A),G,H) = k1_xboole_0 ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(D) = B & k9_xtuple_0(E) = B & ! [F] : ( r2_hidden(F,B) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & k1_funct_1(D,F) = I & k1_funct_1(E,F) = J & v3_pre_topc(I,A) & v3_pre_topc(J,A) & r2_hidden(F,I) & r1_tarski(C,J) & k9_subset_1(u1_struct_0(A),I,J) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s1_modal_1__e6_63__modal_1,axiom,( ( ~ ( k17_modal_1 != k17_modal_1 & ~ ( v1_modal_1(k17_modal_1) & m1_subset_1(k17_modal_1,k6_modal_1) ) & ~ ( v2_modal_1(k17_modal_1) & m1_subset_1(k17_modal_1,k6_modal_1) ) & ~ ( v3_modal_1(k17_modal_1) & m1_subset_1(k17_modal_1,k6_modal_1) ) & ~ ( v4_modal_1(k17_modal_1) & m1_subset_1(k17_modal_1,k6_modal_1) ) ) & ! [A] : ( m1_subset_1(A,k3_modal_1) => ~ ( k16_modal_1(A) != k17_modal_1 & ~ ( v1_modal_1(k16_modal_1(A)) & m1_subset_1(k16_modal_1(A),k6_modal_1) ) & ~ ( v2_modal_1(k16_modal_1(A)) & m1_subset_1(k16_modal_1(A),k6_modal_1) ) & ~ ( v3_modal_1(k16_modal_1(A)) & m1_subset_1(k16_modal_1(A),k6_modal_1) ) & ~ ( v4_modal_1(k16_modal_1(A)) & m1_subset_1(k16_modal_1(A),k6_modal_1) ) ) ) & ! [A] : ( m1_subset_1(A,k6_modal_1) => ( ~ ( A != k17_modal_1 & ~ ( v1_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v2_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v3_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v4_modal_1(A) & m1_subset_1(A,k6_modal_1) ) ) => ~ ( k10_modal_1(A) != k17_modal_1 & ~ ( v1_modal_1(k10_modal_1(A)) & m1_subset_1(k10_modal_1(A),k6_modal_1) ) & ~ ( v2_modal_1(k10_modal_1(A)) & m1_subset_1(k10_modal_1(A),k6_modal_1) ) & ~ ( v3_modal_1(k10_modal_1(A)) & m1_subset_1(k10_modal_1(A),k6_modal_1) ) & ~ ( v4_modal_1(k10_modal_1(A)) & m1_subset_1(k10_modal_1(A),k6_modal_1) ) ) ) ) & ! [A] : ( m1_subset_1(A,k6_modal_1) => ( ~ ( A != k17_modal_1 & ~ ( v1_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v2_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v3_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v4_modal_1(A) & m1_subset_1(A,k6_modal_1) ) ) => ~ ( k11_modal_1(A) != k17_modal_1 & ~ ( v1_modal_1(k11_modal_1(A)) & m1_subset_1(k11_modal_1(A),k6_modal_1) ) & ~ ( v2_modal_1(k11_modal_1(A)) & m1_subset_1(k11_modal_1(A),k6_modal_1) ) & ~ ( v3_modal_1(k11_modal_1(A)) & m1_subset_1(k11_modal_1(A),k6_modal_1) ) & ~ ( v4_modal_1(k11_modal_1(A)) & m1_subset_1(k11_modal_1(A),k6_modal_1) ) ) ) ) & ! [A] : ( m1_subset_1(A,k6_modal_1) => ! [B] : ( m1_subset_1(B,k6_modal_1) => ( ( ~ ( A != k17_modal_1 & ~ ( v1_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v2_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v3_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v4_modal_1(A) & m1_subset_1(A,k6_modal_1) ) ) & ~ ( B != k17_modal_1 & ~ ( v1_modal_1(B) & m1_subset_1(B,k6_modal_1) ) & ~ ( v2_modal_1(B) & m1_subset_1(B,k6_modal_1) ) & ~ ( v3_modal_1(B) & m1_subset_1(B,k6_modal_1) ) & ~ ( v4_modal_1(B) & m1_subset_1(B,k6_modal_1) ) ) ) => ~ ( k12_modal_1(A,B) != k17_modal_1 & ~ ( v1_modal_1(k12_modal_1(A,B)) & m1_subset_1(k12_modal_1(A,B),k6_modal_1) ) & ~ ( v2_modal_1(k12_modal_1(A,B)) & m1_subset_1(k12_modal_1(A,B),k6_modal_1) ) & ~ ( v3_modal_1(k12_modal_1(A,B)) & m1_subset_1(k12_modal_1(A,B),k6_modal_1) ) & ~ ( v4_modal_1(k12_modal_1(A,B)) & m1_subset_1(k12_modal_1(A,B),k6_modal_1) ) ) ) ) ) ) => ! [A] : ( m1_subset_1(A,k6_modal_1) => ~ ( A != k17_modal_1 & ~ ( v1_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v2_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v3_modal_1(A) & m1_subset_1(A,k6_modal_1) ) & ~ ( v4_modal_1(A) & m1_subset_1(A,k6_modal_1) ) ) ) )).
fof(s1_modelc_1__e2_82__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) ) => ( ! [D] : ( m1_subset_1(D,A) => ( ~ v1_xboole_0(k3_xboole_0(k9_relat_1(B,D),A)) & m1_subset_1(k3_xboole_0(k9_relat_1(B,D),A),k1_zfmisc_1(A)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & k3_funct_2(k4_ordinal1,A,D,k5_numbers) = C & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_hidden(k4_tarski(k3_funct_2(k4_ordinal1,A,D,E),k3_funct_2(k4_ordinal1,A,D,k1_nat_1(E,1))),B) & r2_tarski(k3_funct_2(k4_ordinal1,A,D,k1_nat_1(E,1)),A) ) ) ) ) ) )).
fof(s1_modelc_2__e4_45__modelc_3,axiom,( ( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v2_modelc_2(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k1_modelc_3(A) = k10_xtuple_0(B) ) ) ) & ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k1_modelc_3(k10_modelc_2(A)) = k10_xtuple_0(C) ) => ( ( ~ v3_modelc_2(A) & ~ v6_modelc_2(A) ) | ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k1_modelc_3(A) = k10_xtuple_0(D) ) ) ) ) & ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k1_modelc_3(k11_modelc_2(A)) = k10_xtuple_0(E) ) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k1_modelc_3(k12_modelc_2(A)) = k10_xtuple_0(F) ) ) => ( ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) | ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k1_modelc_3(A) = k10_xtuple_0(G) ) ) ) ) ) => ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & k1_modelc_3(A) = k10_xtuple_0(H) ) ) )).
fof(s1_monoid_1__e11_98_1_1_1__waybel23,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_waybel23(A,k7_relset_1(u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),k4_waybel23(A,k5_yellow_0(A,B)),C)))) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ( m1_subset_1(F,B) => ~ ? [G] : ( m1_subset_1(G,u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & H = E & I = F & r2_tarski(G,C) & r2_hidden(F,G) & r3_orders_2(A,H,I) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) & ! [F] : ( r2_hidden(F,D) => ? [J] : ( m1_subset_1(J,u1_struct_0(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & K = F & L = k1_funct_1(E,F) & r2_tarski(J,C) & r2_hidden(k1_funct_1(E,F),J) & r3_orders_2(A,K,L) ) ) ) ) ) ) ) )).
fof(s1_monoid_1__e3_131_2_1_2__comput_1,axiom,( ! [A] : ( ( v3_comput_1(A) & m2_finseq_1(A,k2_comput_1(k4_ordinal1)) ) => ( ! [B] : ~ ( r2_hidden(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ? [D] : ( m1_subset_1(D,k4_ordinal1) & r2_tarski(k1_funct_1(A,B),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,D)) & C = D ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_finseq_1(k3_finseq_1(A)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(A)),k4_ordinal1))) & ! [C] : ( r2_hidden(C,k2_finseq_1(k3_finseq_1(A))) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & r2_tarski(k1_funct_1(A,C),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,E)) & k1_funct_1(B,C) = E ) ) ) ) ) )).
fof(s1_monoid_1__e3_22__monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m2_funct_2(D,A,B,k9_funct_2(A,B)) & m2_funct_2(E,A,B,k9_funct_2(A,B)) ) => ( ! [F] : ~ ( r2_hidden(F,A) & ! [G] : ( m1_subset_1(G,B) => k1_binop_1(C,k1_funct_1(D,F),G) != k1_funct_1(E,F) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ! [G] : ( r2_hidden(G,A) => k1_binop_1(C,k1_funct_1(D,G),k1_funct_1(F,G)) = k1_funct_1(E,G) ) ) ) ) )).
fof(s1_monoid_1__e6_22__monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & m2_funct_2(D,A,B,k9_funct_2(A,B)) & m2_funct_2(E,A,B,k9_funct_2(A,B)) ) => ( ! [F] : ~ ( r2_hidden(F,A) & ! [G] : ( m1_subset_1(G,B) => k1_binop_1(C,G,k1_funct_1(D,F)) != k1_funct_1(E,F) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ! [G] : ( r2_hidden(G,A) => k1_binop_1(C,k1_funct_1(F,G),k1_funct_1(D,G)) = k1_funct_1(E,G) ) ) ) ) )).
fof(s1_msafree4__e1_122__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),k7_funcop_1(u1_struct_0(A),k4_ordinal1),B) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v1_funcop_1(D) & ! [E] : ( r2_tarski(E,u1_struct_0(A)) => ( k9_xtuple_0(k1_funct_1(D,E)) = k1_funct_1(k13_msafree(A,k7_funcop_1(u1_struct_0(A),k4_ordinal1)),E) & ! [F] : ( m1_subset_1(F,k1_funct_1(k13_msafree(A,k7_funcop_1(u1_struct_0(A),k4_ordinal1)),E)) => k1_funct_1(k1_funct_1(D,E),F) = k1_trees_4(k4_tarski(k1_funct_1(k2_msafree4(u1_struct_0(A),k7_funcop_1(u1_struct_0(A),k4_ordinal1),B,C,E),k1_xtuple_0(k1_funct_1(F,k1_xboole_0))),E)) ) ) ) ) ) )).
fof(s1_msafree4__e1_123__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v1_funcop_1(D) & ! [E] : ( r2_tarski(E,u1_struct_0(A)) => ( k9_xtuple_0(k1_funct_1(D,E)) = k1_funct_1(k13_msafree(A,B),E) & ! [F] : ( m1_subset_1(F,k1_funct_1(k13_msafree(A,B),E)) => k1_funct_1(k1_funct_1(D,E),F) = k1_trees_4(k4_tarski(k1_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,E),k1_xtuple_0(k1_funct_1(F,k1_xboole_0))),E)) ) ) ) ) ) )).
fof(s1_msafree5__e13_105__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,B,k1_msafree3(A,C))) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( ~ r1_xxreal_0(k3_finseq_1(E),F) & ~ r1_xxreal_0(k3_finseq_1(E),G) & F != G & ~ r1_xboole_0(k2_msafree5(k8_relat_1(k1_funct_1(D,k2_xcmplx_0(F,1)),k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))),k14_trees_3(F)),k2_msafree5(k8_relat_1(k1_funct_1(D,k2_xcmplx_0(G,1)),k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))),k14_trees_3(G))) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(k3_finseq_1(E),F) => k1_card_1(k2_msafree5(k8_relat_1(k1_funct_1(D,k2_xcmplx_0(F,1)),k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A)))),k14_trees_3(F))) = k1_funct_1(E,k2_xcmplx_0(F,1)) ) ) ) => k1_card_1(k3_tarski(a_5_1_msafree5(A,B,C,D,E))) = k1_wsierp_1(E) ) ) )).
fof(s1_msaterm__e12_133__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(B,E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(k1_trees_4(k4_tarski(F,E)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),G)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,k1_msafree3(A,B)),D,G),k6_msafree4(A,B,C,k1_trees_4(k4_tarski(F,E)))) = k1_trees_4(k4_tarski(F,E)) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msaterm(F,A,B,k2_msaterm(A,B,E)) => ( ! [H] : ( m1_dtconstr(H,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(H,k10_xtuple_0(F)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(H,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),I)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,k1_msafree3(A,B)),D,I),k6_msafree4(A,B,C,H)) = H ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(k4_trees_4(k4_tarski(E,u1_struct_0(A)),F),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),J)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,k1_msafree3(A,B)),D,J),k6_msafree4(A,B,C,k4_trees_4(k4_tarski(E,u1_struct_0(A)),F))) = k4_trees_4(k4_tarski(E,u1_struct_0(A)),F) ) ) ) ) ) ) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),K)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),u3_msualg_1(A,k1_msafree3(A,B)),D,K),k6_msafree4(A,B,C,E)) = E ) ) ) ) ) )).
fof(s1_msaterm__e14_116__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k3_equation(A))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(B,E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(k1_trees_4(k4_tarski(F,E)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),G)) => k6_msafree4(A,B,C,k1_trees_4(k4_tarski(F,E))) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k3_equation(A)),D,G),k1_trees_4(k4_tarski(F,E))) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msaterm(F,A,B,k2_msaterm(A,B,E)) => ( ! [H] : ( m1_dtconstr(H,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(H,k10_xtuple_0(F)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(H,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),I)) => k6_msafree4(A,B,C,H) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k3_equation(A)),D,I),H) ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(k4_trees_4(k4_tarski(E,u1_struct_0(A)),F),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),J)) => k6_msafree4(A,B,C,k4_trees_4(k4_tarski(E,u1_struct_0(A)),F)) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k3_equation(A)),D,J),k4_trees_4(k4_tarski(E,u1_struct_0(A)),F)) ) ) ) ) ) ) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),K)) => k6_msafree4(A,B,C,E) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k3_equation(A)),D,K),E) ) ) ) ) ) )).
fof(s1_msaterm__e16_52__instalg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_relat_1(E) & v1_funct_1(E) & v2_funct_1(E) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_funct_1(k3_relat_1(D,C),F)) => ? [H] : ( m1_dtconstr(H,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) & H = k1_trees_4(k4_tarski(G,F)) & ! [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) => ( ( k7_msaterm(A,k3_relat_1(D,C),H) = k7_msaterm(A,k3_relat_1(D,C),I) & k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),H)),H) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),H)),I) ) => H = I ) ) ) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_msaterm(G,A,k3_relat_1(D,C),k2_msaterm(A,k3_relat_1(D,C),F)) => ( ! [J] : ( m1_dtconstr(J,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) => ( r2_tarski(J,k10_xtuple_0(G)) => ? [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) & K = J & ! [L] : ( m1_dtconstr(L,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) => ( ( k7_msaterm(A,k3_relat_1(D,C),K) = k7_msaterm(A,k3_relat_1(D,C),L) & k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),K)),K) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),K)),L) ) => K = L ) ) ) ) ) => ? [M] : ( m1_dtconstr(M,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) & M = k4_trees_4(k4_tarski(F,u1_struct_0(A)),G) & ! [N] : ( m1_dtconstr(N,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) => ( ( k7_msaterm(A,k3_relat_1(D,C),M) = k7_msaterm(A,k3_relat_1(D,C),N) & k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),M)),M) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),M)),N) ) => M = N ) ) ) ) ) ) ) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) => ? [O] : ( m1_dtconstr(O,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) & O = F & ! [P] : ( m1_dtconstr(P,u1_struct_0(k5_msafree(A,k3_relat_1(D,C))),k5_trees_3(u1_struct_0(k5_msafree(A,k3_relat_1(D,C)))),k1_msaterm(A,k3_relat_1(D,C))) => ( ( k7_msaterm(A,k3_relat_1(D,C),O) = k7_msaterm(A,k3_relat_1(D,C),P) & k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),O)),O) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,k3_relat_1(D,C))),u3_msualg_1(A,k1_instalg1(A,B,k11_msafree(B,C),D,E)),k3_instalg1(A,B,C,D,E),k7_msaterm(A,k3_relat_1(D,C),O)),P) ) => O = P ) ) ) ) ) ) )).
fof(s1_msaterm__e3_120__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(B,D)) => ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & k1_trees_4(k4_tarski(E,D)) = F & m1_subset_1(k6_msafree4(A,B,C,F),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,k2_funct_6(C))),k7_msaterm(A,B,F))) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msaterm(E,A,B,k2_msaterm(A,B,D)) => ( ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(G,k10_xtuple_0(E)) => ? [H] : ( m1_dtconstr(H,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & G = H & m1_subset_1(k6_msafree4(A,B,C,H),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,k2_funct_6(C))),k7_msaterm(A,B,H))) ) ) ) => ? [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & k4_trees_4(k4_tarski(D,u1_struct_0(A)),E) = I & m1_subset_1(k6_msafree4(A,B,C,I),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,k2_funct_6(C))),k7_msaterm(A,B,I))) ) ) ) ) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ? [J] : ( m1_dtconstr(J,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & D = J & m1_subset_1(k6_msafree4(A,B,C,J),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,k2_funct_6(C))),k7_msaterm(A,B,J))) ) ) ) ) )).
fof(s1_msaterm__e3_131__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(B,E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_funct_1(u3_msualg_1(A,k3_equation(A)),G)) => ! [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,k3_equation(A)),G)) => ! [J] : ( m1_dtconstr(J,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( ( J = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),G),k1_trees_4(k4_tarski(F,E))) & H = k6_msafree4(A,B,D,k1_trees_4(k4_tarski(F,E))) & I = k6_msafree4(A,B,D,J) ) => r1_equation(A,C,G,k5_equation(A,G,H,I)) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msaterm(F,A,B,k2_msaterm(A,B,E)) => ( ! [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(K,k10_xtuple_0(F)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,k1_funct_1(u3_msualg_1(A,k3_equation(A)),L)) => ! [N] : ( m1_subset_1(N,k1_funct_1(u3_msualg_1(A,k3_equation(A)),L)) => ! [O] : ( m1_dtconstr(O,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( ( O = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),L),K) & M = k6_msafree4(A,B,D,K) & N = k6_msafree4(A,B,D,O) ) => r1_equation(A,C,L,k5_equation(A,L,M,N)) ) ) ) ) ) ) ) => ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ! [Q] : ( m1_subset_1(Q,k1_funct_1(u3_msualg_1(A,k3_equation(A)),P)) => ! [R] : ( m1_subset_1(R,k1_funct_1(u3_msualg_1(A,k3_equation(A)),P)) => ! [S] : ( m1_dtconstr(S,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( ( S = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),P),k4_trees_4(k4_tarski(E,u1_struct_0(A)),F)) & Q = k6_msafree4(A,B,D,k4_trees_4(k4_tarski(E,u1_struct_0(A)),F)) & R = k6_msafree4(A,B,D,S) ) => r1_equation(A,C,P,k5_equation(A,P,Q,R)) ) ) ) ) ) ) ) ) ) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [T] : ( m1_subset_1(T,u1_struct_0(A)) => ! [U] : ( m1_subset_1(U,k1_funct_1(u3_msualg_1(A,k3_equation(A)),T)) => ! [V] : ( m1_subset_1(V,k1_funct_1(u3_msualg_1(A,k3_equation(A)),T)) => ! [W] : ( m1_dtconstr(W,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( ( W = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),T),E) & U = k6_msafree4(A,B,D,E) & V = k6_msafree4(A,B,D,W) ) => r1_equation(A,C,T,k5_equation(A,T,U,V)) ) ) ) ) ) ) ) ) )).
fof(s1_msaterm__e3_1__circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(C,D)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( ( F = k1_trees_4(k4_tarski(E,D)) & G = F ) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),G) = k7_msaterm(A,C,F) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msaterm(E,A,C,k2_msaterm(A,C,D)) => ( ! [H] : ( m1_dtconstr(H,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(H,k10_xtuple_0(E)) => ! [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [J] : ( m1_dtconstr(J,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( ( I = H & J = I ) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),J) = k7_msaterm(A,C,I) ) ) ) ) ) => ! [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [L] : ( m1_dtconstr(L,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( ( K = k4_trees_4(k4_tarski(D,u1_struct_0(A)),E) & L = K ) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),L) = k7_msaterm(A,C,K) ) ) ) ) ) ) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [M] : ( m1_dtconstr(M,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [N] : ( m1_dtconstr(N,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( ( M = D & N = M ) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),N) = k7_msaterm(A,C,M) ) ) ) ) ) ) )).
fof(s1_msaterm__e3_24__msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(B,C)) => r2_pboole(u1_struct_0(A),k2_msafree3(A,k1_trees_4(k4_tarski(D,C))),B) ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,B,k2_msaterm(A,B,C)) => ( ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(E,k10_xtuple_0(D)) => r2_pboole(u1_struct_0(A),k2_msafree3(A,E),B) ) ) => r2_pboole(u1_struct_0(A),k2_msafree3(A,k4_trees_4(k4_tarski(C,u1_struct_0(A)),D)),B) ) ) ) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => r2_pboole(u1_struct_0(A),k2_msafree3(A,C),B) ) ) ) )).
fof(s1_msaterm__e3_39__msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(B,C)) => r2_pboole(u1_struct_0(A),k2_msafree3(A,k1_trees_4(k4_tarski(D,C))),B) ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,B,k2_msaterm(A,B,C)) => ( ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(E,k10_xtuple_0(D)) => r2_pboole(u1_struct_0(A),k2_msafree3(A,E),B) ) ) => r2_pboole(u1_struct_0(A),k2_msafree3(A,k4_trees_4(k4_tarski(C,u1_struct_0(A)),D)),B) ) ) ) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => r2_pboole(u1_struct_0(A),k2_msafree3(A,C),B) ) ) ) )).
fof(s1_msaterm__e3_98_1_1__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) & v5_msafree4(D,A,B) & v6_msafree4(D,A,B) & v7_msafree4(D,A,B) & v8_msafree4(D,A,B) & l3_msualg_1(D,A) & m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,D)) & v3_msualg_1(F,A) & v4_msualg_1(F,A) & m1_msualg_2(F,A,C) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_funct_1(B,G)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(k1_trees_4(k4_tarski(H,G)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),I)) => ( r2_tarski(k1_trees_4(k4_tarski(H,G)),k1_msafree4(u1_struct_0(A),k9_pboole(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),E),I)) & k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,D),E,I),k1_trees_4(k4_tarski(H,G))) = k1_trees_4(k4_tarski(H,G)) ) ) ) ) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_msaterm(H,A,B,k2_msaterm(A,B,G)) => ( ! [J] : ( m1_dtconstr(J,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(J,k10_xtuple_0(H)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(J,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),K)) => ( r2_tarski(J,k1_msafree4(u1_struct_0(A),k9_pboole(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),E),K)) & k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,D),E,K),J) = J ) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( r2_tarski(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),L)) => ( r2_tarski(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H),k1_msafree4(u1_struct_0(A),k9_pboole(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),E),L)) & k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,D),E,L),k4_trees_4(k4_tarski(G,u1_struct_0(A)),H)) = k4_trees_4(k4_tarski(G,u1_struct_0(A)),H) ) ) ) ) ) ) ) => ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( r2_tarski(G,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),M)) => ( r2_tarski(G,k1_msafree4(u1_struct_0(A),k9_pboole(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),E),M)) & k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,D),E,M),G) = G ) ) ) ) ) ) )).
fof(s1_msaterm__e4_39__circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m3_msaterm(D,A,C) & m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B)))) & m1_circtrm1(F,A,C,D,B,E) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_funct_1(C,G)) => ( r2_tarski(k1_trees_4(k4_tarski(H,G)),k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(k1_trees_4(k4_tarski(H,G)))))),k1_trees_4(k4_tarski(H,G))) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(k1_trees_4(k4_tarski(H,G)))))),k1_trees_4(k4_tarski(H,G))) = k7_circtrm1(A,B,C,k1_trees_4(k4_tarski(H,G)),F) ) ) ) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_msaterm(H,A,C,k2_msaterm(A,C,G)) => ( ! [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(I,k10_xtuple_0(H)) => ( r2_tarski(I,k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(I)))),I) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(I)))),I) = k7_circtrm1(A,B,C,I,F) ) ) ) ) => ( r2_tarski(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H),k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H))))),k4_trees_4(k4_tarski(G,u1_struct_0(A)),H)) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H))))),k4_trees_4(k4_tarski(G,u1_struct_0(A)),H)) = k7_circtrm1(A,B,C,k4_trees_4(k4_tarski(G,u1_struct_0(A)),H),F) ) ) ) ) ) ) => ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(G,k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(G)))),G) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(G)))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) )).
fof(s1_msaterm__e4_47__msaterm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(B,D)) => m1_dtconstr(k1_trees_4(k4_tarski(E,D)),u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msaterm(E,A,B,k2_msaterm(A,B,D)) => ( ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(F,k10_xtuple_0(E)) => m1_dtconstr(F,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) ) ) => m1_dtconstr(k4_trees_4(k4_tarski(D,u1_struct_0(A)),E),u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) ) ) ) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) ) ) ) )).
fof(s1_msaterm__e4_9__abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C)) => ~ ( m1_subset_1(k1_trees_4(k4_tarski(D,C)),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ~ ( k1_trees_4(k4_tarski(D,C)) = k1_trees_4(k4_tarski(F,E)) & r2_tarski(F,k1_funct_1(B,E)) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m2_finseq_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ~ ( k1_trees_4(k4_tarski(D,C)) = k4_trees_4(k4_tarski(E,u1_struct_0(A)),F) & k3_finseq_1(F) = k3_finseq_1(k1_msualg_1(A,E)) & v6_trees_3(F) & m1_msaterm(F,A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),E)) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C)) => ( ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ( r2_tarski(G,k10_xtuple_0(D)) => ~ ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ~ ( G = k1_trees_4(k4_tarski(I,H)) & r2_tarski(I,k1_funct_1(B,H)) ) ) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m2_finseq_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ~ ( G = k4_trees_4(k4_tarski(H,u1_struct_0(A)),I) & k3_finseq_1(I) = k3_finseq_1(k1_msualg_1(A,H)) & v6_trees_3(I) & m1_msaterm(I,A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),H)) ) ) ) ) ) ) => ~ ( m1_subset_1(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ~ ( k4_trees_4(k4_tarski(C,u1_struct_0(A)),D) = k1_trees_4(k4_tarski(K,J)) & r2_tarski(K,k1_funct_1(B,J)) ) ) & ! [J] : ( m1_subset_1(J,u4_struct_0(A)) => ! [K] : ( m2_finseq_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ~ ( k4_trees_4(k4_tarski(C,u1_struct_0(A)),D) = k4_trees_4(k4_tarski(J,u1_struct_0(A)),K) & k3_finseq_1(K) = k3_finseq_1(k1_msualg_1(A,J)) & v6_trees_3(K) & m1_msaterm(K,A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),J)) ) ) ) ) ) ) ) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ~ ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ~ ( C = k1_trees_4(k4_tarski(M,L)) & r2_tarski(M,k1_funct_1(B,L)) ) ) & ! [L] : ( m1_subset_1(L,u4_struct_0(A)) => ! [M] : ( m2_finseq_1(M,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ~ ( C = k4_trees_4(k4_tarski(L,u1_struct_0(A)),M) & k3_finseq_1(M) = k3_finseq_1(k1_msualg_1(A,L)) & v6_trees_3(M) & m1_msaterm(M,A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),L)) ) ) ) ) ) ) ) )).
fof(s1_msaterm__e5_228__abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C)) => ( r2_tarski(k1_trees_4(k4_tarski(D,C)),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => r2_tarski(k1_trees_4(k4_tarski(D,C)),k4_dtconstr(k5_msafree(A,B))) ) ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C)) => ( ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ( r2_tarski(E,k10_xtuple_0(D)) => ( r2_tarski(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => r2_tarski(E,k4_dtconstr(k5_msafree(A,B))) ) ) ) => ( r2_tarski(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => r2_tarski(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k4_dtconstr(k5_msafree(A,B))) ) ) ) ) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ( r2_tarski(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => r2_tarski(C,k4_dtconstr(k5_msafree(A,B))) ) ) ) ) )).
fof(s1_msaterm__e5_40__circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m3_msaterm(D,A,C) & m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B)))) & m1_circtrm1(F,A,C,D,B,E) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_funct_1(C,G)) => ( r2_tarski(k1_trees_4(k4_tarski(H,G)),k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(k1_trees_4(k4_tarski(H,G))))),k1_trees_4(k4_tarski(H,G))) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(k1_trees_4(k4_tarski(H,G))))),k1_trees_4(k4_tarski(H,G))) = k7_circtrm1(A,B,C,k1_trees_4(k4_tarski(H,G)),F) ) ) ) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_msaterm(H,A,C,k2_msaterm(A,C,G)) => ( ! [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(I,k10_xtuple_0(H)) => ( r2_tarski(I,k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(I))),I) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(I))),I) = k7_circtrm1(A,B,C,I,F) ) ) ) ) => ( r2_tarski(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H),k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H)))),k4_trees_4(k4_tarski(G,u1_struct_0(A)),H)) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(k4_trees_4(k4_tarski(G,u1_struct_0(A)),H)))),k4_trees_4(k4_tarski(G,u1_struct_0(A)),H)) = k7_circtrm1(A,B,C,k4_trees_4(k4_tarski(G,u1_struct_0(A)),H),F) ) ) ) ) ) ) => ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(G,k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(G))),G) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(G))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) )).
fof(s1_msaterm__e5_41__msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(C,D)) => ( r2_pboole(u1_struct_0(A),k3_msafree3(A,C,k1_trees_4(k4_tarski(E,D))),B) => m1_dtconstr(k1_trees_4(k4_tarski(E,D)),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msaterm(E,A,C,k2_msaterm(A,C,D)) => ( ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(F,k10_xtuple_0(E)) => ( r2_pboole(u1_struct_0(A),k3_msafree3(A,C,F),B) => m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) => ( r2_pboole(u1_struct_0(A),k3_msafree3(A,C,k4_trees_4(k4_tarski(D,u1_struct_0(A)),E)),B) => m1_dtconstr(k4_trees_4(k4_tarski(D,u1_struct_0(A)),E),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) ) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_pboole(u1_struct_0(A),k3_msafree3(A,C,D),B) => m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) ) )).
fof(s1_msaterm__e5_94__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) & m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,C)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(B,E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(k1_trees_4(k4_tarski(F,E)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),G)) => r2_tarski(k1_trees_4(k4_tarski(F,E)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k12_msualg_2(A,C,D)),G)) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msaterm(F,A,B,k2_msaterm(A,B,E)) => ( ! [H] : ( m1_dtconstr(H,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(H,k10_xtuple_0(F)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(H,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),I)) => r2_tarski(H,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k12_msualg_2(A,C,D)),I)) ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(k4_trees_4(k4_tarski(E,u1_struct_0(A)),F),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),J)) => r2_tarski(k4_trees_4(k4_tarski(E,u1_struct_0(A)),F),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k12_msualg_2(A,C,D)),J)) ) ) ) ) ) ) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),K)) => r2_tarski(E,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k12_msualg_2(A,C,D)),K)) ) ) ) ) ) )).
fof(s1_msaterm__e6_34__msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k1_trees_4(k4_tarski(D,C)),k1_funct_1(k5_msafree3(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),B),E)) => r2_tarski(k1_trees_4(k4_tarski(D,C)),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E)) ) ) ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),k2_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C)) => ( ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ( r2_tarski(F,k10_xtuple_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(F,k1_funct_1(k5_msafree3(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),B),G)) => r2_tarski(F,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),G)) ) ) ) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k1_funct_1(k5_msafree3(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),B),H)) => r2_tarski(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),H)) ) ) ) ) ) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(k5_msafree3(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),B),I)) => r2_tarski(C,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),I)) ) ) ) ) ) )).
fof(s1_msaterm__e6_96__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(B,D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(k1_trees_4(k4_tarski(E,D)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),F)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),F),k1_trees_4(k4_tarski(E,D))) = k1_trees_4(k4_tarski(E,D)) ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msaterm(E,A,B,k2_msaterm(A,B,D)) => ( ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( r2_tarski(G,k10_xtuple_0(E)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(G,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),H)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),H),G) = G ) ) ) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(k4_trees_4(k4_tarski(D,u1_struct_0(A)),E),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),I)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),I),k4_trees_4(k4_tarski(D,u1_struct_0(A)),E)) = k4_trees_4(k4_tarski(D,u1_struct_0(A)),E) ) ) ) ) ) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(D,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),J)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),k4_msafree4(A,B,C),J),D) = D ) ) ) ) ) )).
fof(s1_mssubfam__e16_33__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(D) & m1_pralg_2(E,C,A) & m1_pralg_2(F,D,A) & v3_msualg_1(G,A) & v4_msualg_1(G,A) & m1_msualg_2(G,A,k14_pralg_2(C,A,E)) ) => ( ! [H] : ( r2_hidden(H,u1_struct_0(A)) => ! [I] : ~ ( r2_hidden(I,k1_funct_1(u3_msualg_1(A,G),H)) & ! [J] : ~ ( r2_hidden(J,k1_funct_1(u3_msualg_1(A,B),H)) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_subset_1(L,k1_funct_1(k10_pralg_2(D,A,F),K)) & ? [M] : ( v3_msualg_1(M,A) & v4_msualg_1(M,A) & v3_msafree2(M,A) & m1_msualg_2(M,A,B) & K = H & L = I & ! [N] : ( ( v3_msualg_1(N,A) & v4_msualg_1(N,A) & v3_msafree2(N,A) & m1_msualg_2(N,A,B) ) => ( m1_msualg_2(M,A,N) => k1_funct_1(L,M) = k1_funct_1(L,N) ) ) & J = k1_funct_1(L,M) ) ) ) ) ) ) => ? [H] : ( m2_pboole(H,u1_struct_0(A),u3_msualg_1(A,G),u3_msualg_1(A,B)) & ! [I] : ~ ( r2_hidden(I,u1_struct_0(A)) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_funct_1(u3_msualg_1(A,G),I),k1_funct_1(u3_msualg_1(A,B),I)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,G),I),k1_funct_1(u3_msualg_1(A,B),I)))) ) => ~ ( J = k1_funct_1(H,I) & ! [O] : ( r2_hidden(O,k1_funct_1(u3_msualg_1(A,G),I)) => ? [P] : ( m1_subset_1(P,u1_struct_0(A)) & ? [Q] : ( m1_subset_1(Q,k1_funct_1(k10_pralg_2(D,A,F),P)) & ? [R] : ( v3_msualg_1(R,A) & v4_msualg_1(R,A) & v3_msafree2(R,A) & m1_msualg_2(R,A,B) & P = I & Q = O & ! [S] : ( ( v3_msualg_1(S,A) & v4_msualg_1(S,A) & v3_msafree2(S,A) & m1_msualg_2(S,A,B) ) => ( m1_msualg_2(R,A,S) => k1_funct_1(Q,R) = k1_funct_1(Q,S) ) ) & k1_funct_1(J,O) = k1_funct_1(Q,R) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_mssubfam__e2_38__pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_pralg_2(C,A,B) & v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(B)) => ! [F] : ~ ( r2_hidden(F,k1_funct_1(u3_msualg_1(B,k14_pralg_2(A,B,C)),E)) & ! [G] : ~ ( r2_hidden(G,k1_funct_1(u3_msualg_1(B,k14_pralg_2(k8_eqrel_1(A,D),B,k4_pralg_3(k8_eqrel_1(A,D),B,k6_partfun1(k8_eqrel_1(A,D)),k3_pralg_3(A,B,C,D)))),E)) & ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ( ( H = F & I = G ) => ! [J] : ( m2_subset_1(J,k1_zfmisc_1(A),k8_eqrel_1(A,D)) => k1_funct_1(I,J) = k5_relat_1(H,J) ) ) ) ) ) ) ) => ? [E] : ( m2_pboole(E,u1_struct_0(B),u3_msualg_1(B,k14_pralg_2(A,B,C)),u3_msualg_1(B,k14_pralg_2(k8_eqrel_1(A,D),B,k4_pralg_3(k8_eqrel_1(A,D),B,k6_partfun1(k8_eqrel_1(A,D)),k3_pralg_3(A,B,C,D))))) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(B)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_funct_1(u3_msualg_1(B,k14_pralg_2(A,B,C)),F),k1_funct_1(u3_msualg_1(B,k14_pralg_2(k8_eqrel_1(A,D),B,k4_pralg_3(k8_eqrel_1(A,D),B,k6_partfun1(k8_eqrel_1(A,D)),k3_pralg_3(A,B,C,D)))),F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(B,k14_pralg_2(A,B,C)),F),k1_funct_1(u3_msualg_1(B,k14_pralg_2(k8_eqrel_1(A,D),B,k4_pralg_3(k8_eqrel_1(A,D),B,k6_partfun1(k8_eqrel_1(A,D)),k3_pralg_3(A,B,C,D)))),F)))) ) => ~ ( G = k1_funct_1(E,F) & ! [K] : ( r2_hidden(K,k1_funct_1(u3_msualg_1(B,k14_pralg_2(A,B,C)),F)) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) ) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) ) => ( ( L = K & M = k1_funct_1(G,K) ) => ! [N] : ( m2_subset_1(N,k1_zfmisc_1(A),k8_eqrel_1(A,D)) => k1_funct_1(M,N) = k5_relat_1(L,N) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_mssubfam__e2_6__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m3_pboole(D,A,C) & m2_pboole(E,A,D,B) ) => ( ! [F] : ( r2_hidden(F,A) => ! [G] : ~ ( r2_hidden(G,k1_funct_1(C,F)) & ! [H] : ~ ( r2_hidden(H,k1_funct_1(B,F)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k1_funct_1(D,F),k1_funct_1(B,F)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(D,F),k1_funct_1(B,F)))) & I = k1_funct_1(E,F) & ( r2_hidden(G,k1_funct_1(D,F)) => H = k1_funct_1(I,G) ) ) ) ) ) => ? [F] : ( m2_pboole(F,A,C,B) & ! [G] : ~ ( r2_hidden(G,A) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(C,G),k1_funct_1(B,G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(C,G),k1_funct_1(B,G)))) ) => ~ ( H = k1_funct_1(F,G) & ! [J] : ( r2_hidden(J,k1_funct_1(C,G)) => ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k1_funct_1(D,G),k1_funct_1(B,G)) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(D,G),k1_funct_1(B,G)))) & K = k1_funct_1(E,G) & ( r2_hidden(J,k1_funct_1(D,G)) => k1_funct_1(H,J) = k1_funct_1(K,J) ) ) ) ) ) ) ) ) ) )).
fof(s1_mssubfam__e2_71__closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v5_mssubfam(C,A,B) & m3_pboole(C,A,k1_mboolean(A,B)) ) => ( ! [D] : ( r2_hidden(D,A) => ! [E] : ~ ( r2_hidden(E,k1_funct_1(k5_mssubfam(A,B),D)) & ! [F] : ~ ( r2_hidden(F,k1_funct_1(k5_mssubfam(A,B),D)) & ? [G] : ( G = E & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,D)))) => ! [I] : ( ~ v1_xboole_0(I) => ( ( I = k1_funct_1(C,D) & H = a_2_1_closure1(G,I) ) => F = k8_setfam_1(k1_funct_1(B,D),H) ) ) ) ) ) ) ) => ? [D] : ( m2_pboole(D,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) & ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_funct_1(k5_mssubfam(A,B),E),k1_funct_1(k5_mssubfam(A,B),E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(k5_mssubfam(A,B),E),k1_funct_1(k5_mssubfam(A,B),E)))) ) => ~ ( F = k1_funct_1(D,E) & ! [J] : ( r2_hidden(J,k1_funct_1(k5_mssubfam(A,B),E)) => ? [K] : ( K = J & ! [L] : ( m1_subset_1(L,k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,E)))) => ! [M] : ( ~ v1_xboole_0(M) => ( ( M = k1_funct_1(C,E) & L = a_2_1_closure1(K,M) ) => k1_funct_1(F,J) = k8_setfam_1(k1_funct_1(B,E),L) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_mssubfam__e6_30__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v3_msualg_1(D,A) & v4_msualg_1(D,A) & v2_msafree(D,A) & l3_msualg_1(D,A) & m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,C)) & m1_msafree(G,A,D) ) => ( ! [H] : ( r2_hidden(H,u1_struct_0(A)) => ! [I] : ~ ( r2_hidden(I,k1_funct_1(G,H)) & ! [J] : ~ ( r2_hidden(J,k1_funct_1(u3_msualg_1(A,B),H)) & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,C),H)) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,C),H)))) & ? [L] : ( v1_funct_1(L) & v1_funct_2(L,k1_funct_1(G,H),k1_funct_1(u3_msualg_1(A,C),H)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(G,H),k1_funct_1(u3_msualg_1(A,C),H)))) & K = k1_funct_1(E,H) & L = k1_funct_1(k1_msafree(u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,C),G,F),H) & r2_hidden(J,k8_relset_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,C),H),K,k1_tarski(k1_funct_1(L,I)))) ) ) ) ) ) => ? [H] : ( m2_pboole(H,u1_struct_0(A),G,u3_msualg_1(A,B)) & ! [I] : ~ ( r2_hidden(I,u1_struct_0(A)) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_funct_1(G,I),k1_funct_1(u3_msualg_1(A,B),I)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(G,I),k1_funct_1(u3_msualg_1(A,B),I)))) ) => ~ ( J = k1_funct_1(H,I) & ! [M] : ( r2_hidden(M,k1_funct_1(G,I)) => ? [N] : ( v1_funct_1(N) & v1_funct_2(N,k1_funct_1(u3_msualg_1(A,B),I),k1_funct_1(u3_msualg_1(A,C),I)) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),I),k1_funct_1(u3_msualg_1(A,C),I)))) & ? [O] : ( v1_funct_1(O) & v1_funct_2(O,k1_funct_1(G,I),k1_funct_1(u3_msualg_1(A,C),I)) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(G,I),k1_funct_1(u3_msualg_1(A,C),I)))) & N = k1_funct_1(E,I) & O = k1_funct_1(k1_msafree(u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,C),G,F),I) & r2_hidden(k1_funct_1(J,M),k8_relset_1(k1_funct_1(u3_msualg_1(A,B),I),k1_funct_1(u3_msualg_1(A,C),I),N,k1_tarski(k1_funct_1(O,M)))) ) ) ) ) ) ) ) ) ) )).
fof(s1_mssubfam__e6_47__msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ! [G] : ~ ( r2_hidden(G,k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,E)),F)) & ! [H] : ~ ( r2_hidden(H,k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),F)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,B),I)) & F = I & G = k3_msualg_4(A,B,E,I,J) & H = k3_msualg_4(A,B,k17_msualg_4(A,B,C,D),I,J) ) ) ) ) ) => ? [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,k13_msualg_4(A,B,E)),u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D)))) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(A)) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,E)),G),k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,E)),G),k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,k17_msualg_4(A,B,C,D))),G)))) ) => ~ ( H = k1_funct_1(F,G) & ! [K] : ( r2_hidden(K,k1_funct_1(u3_msualg_1(A,k13_msualg_4(A,B,E)),G)) => ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & ? [M] : ( m1_subset_1(M,k1_funct_1(u3_msualg_1(A,B),L)) & G = L & K = k3_msualg_4(A,B,E,L,M) & k1_funct_1(H,K) = k3_msualg_4(A,B,k17_msualg_4(A,B,C,D),L,M) ) ) ) ) ) ) ) ) ) )).
fof(s1_mssubfam__e7_43_1_6__waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) & v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ( ! [F] : ( r2_hidden(F,B) => ! [G] : ~ ( r2_hidden(G,k1_funct_1(E,F)) & ! [H] : ~ ( r2_hidden(H,k1_funct_1(k7_funcop_1(B,u1_struct_0(A)),F)) & H = k1_binop_1(D,F,G) ) ) ) => ? [F] : ( m2_pboole(F,B,E,k7_funcop_1(B,u1_struct_0(A))) & ! [G] : ~ ( r2_hidden(G,B) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(E,G),k1_funct_1(k7_funcop_1(B,u1_struct_0(A)),G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(E,G),k1_funct_1(k7_funcop_1(B,u1_struct_0(A)),G)))) ) => ~ ( H = k1_funct_1(F,G) & ! [I] : ( r2_hidden(I,k1_funct_1(E,G)) => k1_funct_1(H,I) = k1_binop_1(D,G,I) ) ) ) ) ) ) ) )).
fof(s1_mssubfam__e9_116_4_4__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v6_waybel_0(D,A) & v7_waybel_0(D) & v1_yellow_6(D,A) & l1_waybel_0(D,A) & v4_waybel_3(E) & m3_yellow_6(E,u1_struct_0(D),A) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(D)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(D)) & v1_relat_1(G) & v2_relat_1(G) & v4_relat_1(G,u1_struct_0(D)) & v1_funct_1(G) & v1_partfun1(G,u1_struct_0(D)) ) => ( ! [H] : ( r2_hidden(H,u1_struct_0(D)) => ! [I] : ~ ( r2_hidden(I,k1_funct_1(F,H)) & ! [J] : ~ ( r2_hidden(J,k1_funct_1(G,H)) & ? [K] : ( v1_relat_1(K) & v1_funct_1(K) & ? [L] : ( m1_subset_1(L,u1_struct_0(D)) & k1_funct_1(K,I) = J & L = H & k1_funct_1(u1_waybel_0(A,k6_yellow_6(u1_struct_0(D),A,E,L)),I) = k1_funct_1(u1_waybel_0(A,C),J) ) ) ) ) ) => ? [H] : ( m2_pboole(H,u1_struct_0(D),F,G) & ! [I] : ~ ( r2_hidden(I,u1_struct_0(D)) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_funct_1(F,I),k1_funct_1(G,I)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(F,I),k1_funct_1(G,I)))) ) => ~ ( J = k1_funct_1(H,I) & ! [M] : ( r2_hidden(M,k1_funct_1(F,I)) => ? [N] : ( v1_relat_1(N) & v1_funct_1(N) & ? [O] : ( m1_subset_1(O,u1_struct_0(D)) & k1_funct_1(N,M) = k1_funct_1(J,M) & O = I & k1_funct_1(u1_waybel_0(A,k6_yellow_6(u1_struct_0(D),A,E,O)),M) = k1_funct_1(u1_waybel_0(A,C),k1_funct_1(J,M)) ) ) ) ) ) ) ) ) ) )).
fof(s1_msualg_6__e3_220__msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_finset_1(D) => ? [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) & ? [F] : ( v8_msafree5(F,A,B,k1_msafree3(A,B),C,E) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ r2_hidden(E,D) & k3_msafree5(A,k1_msafree3(A,B),F) = C & k6_partfun1(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),C)) = k24_msafree5(A,B,C,E,F) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),C,G) => ! [I] : ( m2_msualg_6(I,A,k1_msafree3(A,B),C,G) => ( ! [J] : ( v1_finset_1(J) => ? [K] : ( m1_msafree4(K,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) & ? [L] : ( v8_msafree5(L,A,B,k1_msafree3(A,B),C,K) & m1_subset_1(L,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ r2_hidden(K,J) & k3_msafree5(A,k1_msafree3(A,B),L) = G & I = k24_msafree5(A,B,C,K,L) ) ) ) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) ) => ( r1_msualg_6(A,G,H,k1_msafree3(A,B),M) => ! [N] : ( v1_finset_1(N) => ? [O] : ( m1_msafree4(O,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) & ? [P] : ( v8_msafree5(P,A,B,k1_msafree3(A,B),C,O) & m1_subset_1(P,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ r2_hidden(O,N) & k3_msafree5(A,k1_msafree3(A,B),P) = H & k3_relat_1(I,M) = k24_msafree5(A,B,C,O,P) ) ) ) ) ) ) ) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),C,G) => ! [H] : ( m2_msualg_6(H,A,k1_msafree3(A,B),C,G) => ! [Q] : ( v1_finset_1(Q) => ? [R] : ( m1_msafree4(R,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,C)) & ? [S] : ( v8_msafree5(S,A,B,k1_msafree3(A,B),C,R) & m1_subset_1(S,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ r2_hidden(R,Q) & k3_msafree5(A,k1_msafree3(A,B),S) = G & H = k24_msafree5(A,B,C,R,S) ) ) ) ) ) ) ) ) ) )).
fof(s1_msualg_6__e4_34__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m2_msualg_6(F,A,C,E,E) & k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),F) = k3_relat_1(k6_partfun1(k1_funct_1(u3_msualg_1(A,B),E)),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E)) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),E,G) => ! [I] : ( m2_msualg_6(I,A,B,E,G) => ( ? [J] : ( m2_msualg_6(J,A,C,E,G) & k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),G),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),J) = k3_relat_1(I,k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,G)) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) ) => ( r1_msualg_6(A,G,H,B,K) => ? [L] : ( m2_msualg_6(L,A,C,E,H) & k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),H),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),L) = k3_relat_1(k3_relat_1(I,K),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,H)) ) ) ) ) ) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),E,G) => ! [H] : ( m2_msualg_6(H,A,B,E,G) => ? [M] : ( m2_msualg_6(M,A,C,E,G) & k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),G),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),M) = k3_relat_1(H,k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,G)) ) ) ) ) ) ) ) )).
fof(s1_msualg_6__e4_37_1__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),k1_funct_1(C,D)) => r2_hidden(k4_tarski(k1_funct_1(k6_partfun1(k1_funct_1(u3_msualg_1(A,B),D)),E),k1_funct_1(k6_partfun1(k1_funct_1(u3_msualg_1(A,B),D)),F)),k1_funct_1(C,D)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),D,G) => ! [I] : ( m2_msualg_6(I,A,B,D,G) => ( ! [J] : ! [K] : ( r2_hidden(k4_tarski(J,K),k1_funct_1(C,D)) => r2_hidden(k4_tarski(k1_funct_1(I,J),k1_funct_1(I,K)),k1_funct_1(C,G)) ) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) ) => ( r1_msualg_6(A,G,H,B,L) => ! [M] : ! [N] : ( r2_hidden(k4_tarski(M,N),k1_funct_1(C,D)) => r2_hidden(k4_tarski(k1_funct_1(k3_relat_1(I,L),M),k1_funct_1(k3_relat_1(I,L),N)),k1_funct_1(C,H)) ) ) ) ) ) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),D,G) => ! [H] : ( m2_msualg_6(H,A,B,D,G) => ! [O] : ! [P] : ( r2_hidden(k4_tarski(O,P),k1_funct_1(C,D)) => r2_hidden(k4_tarski(k1_funct_1(H,O),k1_funct_1(H,P)),k1_funct_1(C,G)) ) ) ) ) ) ) ) )).
fof(s1_msualg_6__e6_44__instalg1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v4_msualg_1(E,B) & l3_msualg_1(E,B) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_rewrite1(k3_msualg_6(A),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) & m2_msualg_6(k6_partfun1(k1_funct_1(u3_msualg_1(B,E),F)),A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( r1_rewrite1(k3_msualg_6(B),F,G) => ! [I] : ( m2_msualg_6(I,B,E,F,G) => ( ( r1_rewrite1(k3_msualg_6(A),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G)) & m2_msualg_6(I,A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G)) ) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) ) => ( r1_msualg_6(B,G,H,E,J) => ( r1_rewrite1(k3_msualg_6(A),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,H)) & m2_msualg_6(k3_relat_1(I,J),A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,H)) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( r1_rewrite1(k3_msualg_6(B),F,G) => ! [H] : ( m2_msualg_6(H,B,E,F,G) => ( r1_rewrite1(k3_msualg_6(A),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G)) & m2_msualg_6(H,A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G)) ) ) ) ) ) ) ) )).
fof(s1_msualg_8__e3_24__msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m1_subset_1(E,u4_struct_0(A)) & m1_subset_1(F,k3_msualg_1(A,E,C)) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,E)))) & ! [H] : ~ ? [I] : ( m1_subset_1(I,k1_funct_1(u3_msualg_1(A,B),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),G))) & k3_funct_2(k1_funct_1(u3_msualg_1(A,B),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),G)),k1_funct_1(u3_msualg_1(A,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),G)),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),G)),I) = k1_funct_1(F,G) & H = I ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k1_msualg_1(A,E))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k1_msualg_1(A,E)))) => ? [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,B),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),H))) & k3_funct_2(k1_funct_1(u3_msualg_1(A,B),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),H)),k1_funct_1(u3_msualg_1(A,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),H)),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),H)),J) = k1_funct_1(F,H) & k1_funct_1(G,H) = J ) ) ) ) ) ) )).
fof(s1_nat_2__e31_44_1__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) ) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(k3_finseq_1(o_2_3_simplex2(A,B)),G) | ! [H] : ( m1_subset_1(H,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) => ? [I] : ( m1_subset_1(I,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) & I = a_6_4_simplex2(A,C,D,E,G,H) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) & k3_finseq_1(G) = k3_finseq_1(o_2_3_simplex2(A,B)) & ( k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)))),G,1) = F | k3_finseq_1(o_2_3_simplex2(A,B)) = k5_numbers ) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(o_2_3_simplex2(A,B)),H) | k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)))),G,k1_nat_1(H,1)) = a_6_1_simplex2(A,C,D,E,G,H) ) ) ) ) ) ) )).
fof(s1_nat_4__e11_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ~ ( D = a_2_7_nat_4(B,C) & r1_xxreal_0(k2_wsierp_1(k14_finseq_1(D)),k5_numbers) ) ) ) ) )).
fof(s1_nat_4__e3_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ~ ( D = a_2_8_nat_4(B,C) & r1_xxreal_0(k2_wsierp_1(k14_finseq_1(D)),k5_numbers) ) ) ) ) )).
fof(s1_nat_4__e9_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ~ ( D = a_2_9_nat_4(B,C) & r1_xxreal_0(k2_wsierp_1(k14_finseq_1(D)),k5_numbers) ) ) ) ) )).
fof(s1_necklace__e10_47__necklace,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) ) => ( B = a_1_0_necklace(A) => k2_relat_1(B) = a_1_1_necklace(A) ) ) )).
fof(s1_necklace__e4_35__necklace,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) ) => ( B = a_1_0_necklace(A) => k2_relat_1(B) = a_1_1_necklace(A) ) ) )).
fof(s1_newton__e12_11__ami_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) & v5_memstr_0(A,k5_card_1(2),k1_ami_3,k5_numbers) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_ami_3)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(C,D) & k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k5_numbers)),k10_ami_3(k5_numbers))) = C & k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k5_numbers)),k10_ami_3(1))) = D & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,E)),k10_ami_3(1))),k5_numbers) => ( k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k1_nat_1(E,1))),k10_ami_3(k5_numbers))) = k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,E)),k10_ami_3(1))) & k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k1_nat_1(E,1))),k10_ami_3(1))) = k4_nat_d(k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,E)),k10_ami_3(k5_numbers))),k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,E)),k10_ami_3(1)))) ) ) ) ) => ? [E] : ( v7_ordinal1(E) & k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,E)),k10_ami_3(k5_numbers))) = k6_nat_d(C,D) & k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,E)),k10_ami_3(1))) = k5_numbers ) ) ) )).
fof(s1_ntalgo_1__e4_10__ntalgo_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) & m1_subset_1(C,k4_numbers) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k4_numbers) => ! [F] : ( m1_subset_1(F,k4_numbers) => ! [G] : ( m1_subset_1(G,k4_numbers) => ! [H] : ( m1_subset_1(H,k4_numbers) => ? [I] : ( m1_subset_1(I,k4_numbers) & ? [J] : ( m1_subset_1(J,k4_numbers) & ? [K] : ( m1_subset_1(K,k4_numbers) & ? [L] : ( m1_subset_1(L,k4_numbers) & I = k4_int_1(G,H) & J = k5_int_1(G,H) & K = H & L = J ) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & k8_nat_1(k4_numbers,D,k5_numbers) = C & k8_nat_1(k4_numbers,E,k5_numbers) = C & k8_nat_1(k4_numbers,F,k5_numbers) = A & k8_nat_1(k4_numbers,G,k5_numbers) = B & ! [H] : ( v7_ordinal1(H) => ( k8_nat_1(k4_numbers,D,k1_nat_1(H,1)) = k4_int_1(k8_nat_1(k4_numbers,F,H),k8_nat_1(k4_numbers,G,H)) & k8_nat_1(k4_numbers,E,k1_nat_1(H,1)) = k5_int_1(k8_nat_1(k4_numbers,F,H),k8_nat_1(k4_numbers,G,H)) & k8_nat_1(k4_numbers,F,k1_nat_1(H,1)) = k8_nat_1(k4_numbers,G,H) & k8_nat_1(k4_numbers,G,k1_nat_1(H,1)) = k8_nat_1(k4_numbers,E,k1_nat_1(H,1)) ) ) ) ) ) ) ) ) )).
fof(s1_ntalgo_1__e7_10__ntalgo_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k4_numbers) => ! [F] : ( m1_subset_1(F,k4_numbers) => ! [G] : ( m1_subset_1(G,k4_numbers) => ! [H] : ( m1_subset_1(H,k4_numbers) => ? [I] : ( m1_subset_1(I,k4_numbers) & ? [J] : ( m1_subset_1(J,k4_numbers) & ? [K] : ( m1_subset_1(K,k4_numbers) & ? [L] : ( m1_subset_1(L,k4_numbers) & I = G & J = H & K = k6_xcmplx_0(E,k3_xcmplx_0(k8_nat_1(k4_numbers,C,k1_nat_1(D,1)),G)) & L = k6_xcmplx_0(F,k3_xcmplx_0(k8_nat_1(k4_numbers,C,k1_nat_1(D,1)),H)) ) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & k8_nat_1(k4_numbers,D,k5_numbers) = A & k8_nat_1(k4_numbers,E,k5_numbers) = B & k8_nat_1(k4_numbers,F,k5_numbers) = B & k8_nat_1(k4_numbers,G,k5_numbers) = A & ! [H] : ( v7_ordinal1(H) => ( k8_nat_1(k4_numbers,D,k1_nat_1(H,1)) = k8_nat_1(k4_numbers,F,H) & k8_nat_1(k4_numbers,E,k1_nat_1(H,1)) = k8_nat_1(k4_numbers,G,H) & k8_nat_1(k4_numbers,F,k1_nat_1(H,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,D,H),k3_xcmplx_0(k8_nat_1(k4_numbers,C,k1_nat_1(H,1)),k8_nat_1(k4_numbers,F,H))) & k8_nat_1(k4_numbers,G,k1_nat_1(H,1)) = k6_xcmplx_0(k8_nat_1(k4_numbers,E,H),k3_xcmplx_0(k8_nat_1(k4_numbers,C,k1_nat_1(H,1)),k8_nat_1(k4_numbers,G,H))) ) ) ) ) ) ) ) ) )).
fof(s1_orders_1__e12_41__rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( ! [C] : ( m1_subset_1(C,A) => r2_hidden(k4_tarski(C,C),B) ) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( ( r2_hidden(k4_tarski(C,D),B) & r2_hidden(k4_tarski(D,C),B) ) => C = D ) ) ) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ( r2_hidden(k4_tarski(C,D),B) & r2_hidden(k4_tarski(D,E),B) ) => r2_hidden(k4_tarski(C,E),B) ) ) ) ) & ! [C] : ~ ( r1_tarski(C,A) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ~ ( r2_tarski(D,C) & r2_tarski(E,C) & ~ r2_hidden(k4_tarski(D,E),B) & ~ r2_hidden(k4_tarski(E,D),B) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & r2_tarski(E,C) & ~ r2_hidden(k4_tarski(E,D),B) ) ) ) ) => ? [C] : ( m1_subset_1(C,A) & ! [D] : ( m1_subset_1(D,A) => ~ ( C != D & r2_hidden(k4_tarski(C,D),B) ) ) ) ) ) )).
fof(s1_orders_1__e14_32__hahnban,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_partfun1(u1_struct_0(A),k1_numbers))) ) => ( ( ! [C] : ( m1_subset_1(C,B) => r1_tarski(C,C) ) & ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ( ( r1_tarski(C,D) & r1_tarski(D,C) ) => C = D ) ) ) & ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ( ( r1_tarski(C,D) & r1_tarski(D,E) ) => r1_tarski(C,E) ) ) ) ) & ! [C] : ~ ( r1_tarski(C,B) & ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ~ ( r2_tarski(D,C) & r2_tarski(E,C) & ~ r1_tarski(D,E) & ~ r1_tarski(E,D) ) ) ) & ! [D] : ( m1_subset_1(D,B) => ? [E] : ( m1_subset_1(E,B) & r2_tarski(E,C) & ~ r1_tarski(E,D) ) ) ) ) => ? [C] : ( m1_subset_1(C,B) & ! [D] : ( m1_subset_1(D,B) => ~ ( C != D & r1_tarski(C,D) ) ) ) ) ) )).
fof(s1_orders_1__e16_40__rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( ! [C] : ( m1_subset_1(C,A) => r2_hidden(k4_tarski(C,C),B) ) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( ( r2_hidden(k4_tarski(C,D),B) & r2_hidden(k4_tarski(D,C),B) ) => C = D ) ) ) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ( r2_hidden(k4_tarski(C,D),B) & r2_hidden(k4_tarski(D,E),B) ) => r2_hidden(k4_tarski(C,E),B) ) ) ) ) & ! [C] : ~ ( r1_tarski(C,A) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ~ ( r2_tarski(D,C) & r2_tarski(E,C) & ~ r2_hidden(k4_tarski(D,E),B) & ~ r2_hidden(k4_tarski(E,D),B) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & r2_tarski(E,C) & ~ r2_hidden(k4_tarski(E,D),B) ) ) ) ) => ? [C] : ( m1_subset_1(C,A) & ! [D] : ( m1_subset_1(D,A) => ~ ( C != D & r2_hidden(k4_tarski(C,D),B) ) ) ) ) ) )).
fof(s1_orders_1__e21_48_1__group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) ) => ( ( ! [C] : ( m1_subset_1(C,B) => ? [D] : ( v15_algstr_0(D) & m1_group_2(D,A) & ? [E] : ( v15_algstr_0(E) & m1_group_2(E,A) & C = D & C = E & m1_group_2(D,E) ) ) ) & ! [C] : ( m1_subset_1(C,B) => ! [F] : ( m1_subset_1(F,B) => ( ( ? [G] : ( v15_algstr_0(G) & m1_group_2(G,A) & ? [H] : ( v15_algstr_0(H) & m1_group_2(H,A) & C = G & F = H & m1_group_2(G,H) ) ) & ? [I] : ( v15_algstr_0(I) & m1_group_2(I,A) & ? [J] : ( v15_algstr_0(J) & m1_group_2(J,A) & F = I & C = J & m1_group_2(I,J) ) ) ) => C = F ) ) ) & ! [C] : ( m1_subset_1(C,B) => ! [F] : ( m1_subset_1(F,B) => ! [K] : ( m1_subset_1(K,B) => ( ( ? [L] : ( v15_algstr_0(L) & m1_group_2(L,A) & ? [M] : ( v15_algstr_0(M) & m1_group_2(M,A) & C = L & F = M & m1_group_2(L,M) ) ) & ? [N] : ( v15_algstr_0(N) & m1_group_2(N,A) & ? [O] : ( v15_algstr_0(O) & m1_group_2(O,A) & F = N & K = O & m1_group_2(N,O) ) ) ) => ? [P] : ( v15_algstr_0(P) & m1_group_2(P,A) & ? [Q] : ( v15_algstr_0(Q) & m1_group_2(Q,A) & C = P & K = Q & m1_group_2(P,Q) ) ) ) ) ) ) & ! [C] : ~ ( r1_tarski(C,B) & ! [F] : ( m1_subset_1(F,B) => ! [K] : ( m1_subset_1(K,B) => ~ ( r2_tarski(F,C) & r2_tarski(K,C) & ~ ? [R] : ( v15_algstr_0(R) & m1_group_2(R,A) & ? [S] : ( v15_algstr_0(S) & m1_group_2(S,A) & F = R & K = S & m1_group_2(R,S) ) ) & ~ ? [T] : ( v15_algstr_0(T) & m1_group_2(T,A) & ? [U] : ( v15_algstr_0(U) & m1_group_2(U,A) & K = T & F = U & m1_group_2(T,U) ) ) ) ) ) & ! [F] : ( m1_subset_1(F,B) => ? [K] : ( m1_subset_1(K,B) & r2_tarski(K,C) & ~ ? [V] : ( v15_algstr_0(V) & m1_group_2(V,A) & ? [W] : ( v15_algstr_0(W) & m1_group_2(W,A) & K = V & F = W & m1_group_2(V,W) ) ) ) ) ) ) => ? [C] : ( m1_subset_1(C,B) & ! [F] : ( m1_subset_1(F,B) => ~ ( C != F & ? [X] : ( v15_algstr_0(X) & m1_group_2(X,A) & ? [Y] : ( v15_algstr_0(Y) & m1_group_2(Y,A) & C = X & F = Y & m1_group_2(X,Y) ) ) ) ) ) ) ) )).
fof(s1_ordinal1__e10_54_1__card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_ordinal1(C) ) => ( ? [D] : ( v3_ordinal1(D) & r1_ordinal1(D,C) & r2_hidden(B,k1_funct_1(A,D)) ) => ? [D] : ( v3_ordinal1(D) & r1_ordinal1(D,C) & r2_hidden(B,k1_funct_1(A,D)) & ! [E] : ( v3_ordinal1(E) => ( ( r1_ordinal1(E,C) & r2_hidden(B,k1_funct_1(A,E)) ) => r1_ordinal1(D,E) ) ) ) ) ) )).
fof(s1_ordinal1__e10_9_2_1_1_2__card_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v3_ordinal1(B) ) => ( ? [C] : ( v3_ordinal1(C) & r2_tarski(C,B) & r2_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) => ? [C] : ( v3_ordinal1(C) & r2_tarski(C,B) & r2_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,B) & r2_tarski(k1_funct_1(A,B),k1_funct_1(A,D)) ) => r1_ordinal1(C,D) ) ) ) ) ) )).
fof(s1_ordinal1__e12_15_1__zf_colla,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ? [C] : ( v3_ordinal1(C) & ? [D] : ( m1_subset_1(D,A) & ? [E] : ( m1_subset_1(E,A) & r2_tarski(D,k1_zf_colla(A,C)) & r2_tarski(E,k1_zf_colla(A,C)) & k1_funct_1(B,D) = k1_funct_1(B,E) & D != E ) ) ) => ? [C] : ( v3_ordinal1(C) & ? [F] : ( m1_subset_1(F,A) & ? [G] : ( m1_subset_1(G,A) & r2_tarski(F,k1_zf_colla(A,C)) & r2_tarski(G,k1_zf_colla(A,C)) & k1_funct_1(B,F) = k1_funct_1(B,G) & F != G ) ) & ! [H] : ( v3_ordinal1(H) => ( ? [I] : ( m1_subset_1(I,A) & ? [J] : ( m1_subset_1(J,A) & r2_tarski(I,k1_zf_colla(A,H)) & r2_tarski(J,k1_zf_colla(A,H)) & k1_funct_1(B,I) = k1_funct_1(B,J) & I != J ) ) => r1_ordinal1(C,H) ) ) ) ) ) )).
fof(s1_ordinal1__e14_57__ordinal1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ? [B] : ( v3_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k10_xtuple_0(A)) => r1_ordinal1(C,B) ) ) ) => ? [B] : ( v3_ordinal1(B) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k10_xtuple_0(A)) => r1_ordinal1(D,B) ) ) & ! [E] : ( v3_ordinal1(E) => ( ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,k10_xtuple_0(A)) => r1_ordinal1(F,E) ) ) => r1_ordinal1(B,E) ) ) ) ) ) )).
fof(s1_ordinal1__e25_65__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ? [D] : ( v3_ordinal1(D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & B = k1_funct_1(C,a_3_1_orders_1(A,B,E)) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v5_ordinal1(G) ) => ( ( r2_tarski(F,D) & G = k5_relat_1(E,F) ) => k1_funct_1(E,F) = k1_funct_1(C,a_3_1_orders_1(A,B,G)) ) ) ) ) ) => ? [D] : ( v3_ordinal1(D) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v5_ordinal1(H) & B = k1_funct_1(C,a_3_1_orders_1(A,B,H)) & k9_xtuple_0(H) = D & ! [I] : ( v3_ordinal1(I) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v5_ordinal1(J) ) => ( ( r2_tarski(I,D) & J = k5_relat_1(H,I) ) => k1_funct_1(H,I) = k1_funct_1(C,a_3_1_orders_1(A,B,J)) ) ) ) ) & ! [K] : ( v3_ordinal1(K) => ( ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v5_ordinal1(L) & B = k1_funct_1(C,a_3_1_orders_1(A,B,L)) & k9_xtuple_0(L) = K & ! [M] : ( v3_ordinal1(M) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v5_ordinal1(N) ) => ( ( r2_tarski(M,K) & N = k5_relat_1(L,M) ) => k1_funct_1(L,M) = k1_funct_1(C,a_3_1_orders_1(A,B,N)) ) ) ) ) => r1_ordinal1(D,K) ) ) ) ) ) )).
fof(s1_ordinal1__e28_54__card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ? [D] : ( v3_ordinal1(D) & r2_tarski(D,B) & r2_tarski(k1_funct_1(A,D),C) ) => ? [D] : ( v3_ordinal1(D) & r2_tarski(D,B) & r2_tarski(k1_funct_1(A,D),C) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,B) & r2_tarski(k1_funct_1(A,E),C) ) => r1_ordinal1(D,E) ) ) ) ) ) )).
fof(s1_ordinal1__e2_10__card_5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ? [B] : ( v3_ordinal1(B) & r1_ordinal1(B,k1_card_1(A)) & r2_ordinal2(A,B) ) => ? [B] : ( v3_ordinal1(B) & r1_ordinal1(B,k1_card_1(A)) & r2_ordinal2(A,B) & ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(C,k1_card_1(A)) & r2_ordinal2(A,C) ) => r1_ordinal1(B,C) ) ) ) ) ) )).
fof(s1_ordinal1__e2_112__waybel23,axiom,( ! [A] : ( l1_pre_topc(A) => ( ? [B] : ( v3_ordinal1(B) & r2_tarski(B,a_1_0_waybel23(A)) ) => ? [B] : ( v3_ordinal1(B) & r2_tarski(B,a_1_0_waybel23(A)) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,a_1_0_waybel23(A)) => r1_ordinal1(B,C) ) ) ) ) ) )).
fof(s1_ordinal1__e2_24__classes1,axiom,( ! [A] : ( ? [B] : ( v3_ordinal1(B) & k3_classes1(A,B) = k1_classes1(A) ) => ? [B] : ( v3_ordinal1(B) & k3_classes1(A,B) = k1_classes1(A) & ! [C] : ( v3_ordinal1(C) => ( k3_classes1(A,C) = k1_classes1(A) => r1_ordinal1(B,C) ) ) ) ) )).
fof(s1_ordinal1__e2_6__waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( ? [B] : ( v3_ordinal1(B) & r2_tarski(B,a_1_0_waybel31(A)) ) => ? [B] : ( v3_ordinal1(B) & r2_tarski(B,a_1_0_waybel31(A)) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,a_1_0_waybel31(A)) => r1_ordinal1(B,C) ) ) ) ) ) )).
fof(s1_ordinal1__e3_17__ordinal2,axiom,( ! [A] : ( ? [B] : ( v3_ordinal1(B) & r2_tarski(B,A) ) => ? [B] : ( v3_ordinal1(B) & r2_tarski(B,A) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => r1_ordinal1(B,C) ) ) ) ) )).
fof(s1_ordinal1__e4_11_1__ordinal2,axiom,( ! [A] : ( ? [B] : ( v3_ordinal1(B) & r2_tarski(B,A) ) => ? [B] : ( v3_ordinal1(B) & r2_tarski(B,A) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => r1_ordinal1(B,C) ) ) ) ) )).
fof(s1_ordinal1__e4_5__arytm_3,axiom,( ? [A] : ( v3_ordinal1(A) & ? [B] : ( v3_ordinal1(B) & r1_tarski(B,A) & r2_tarski(A,k4_ordinal1) & A != k1_xboole_0 & ! [C] : ( ( v3_ordinal1(C) & v7_ordinal1(C) ) => ! [D] : ( ( v3_ordinal1(D) & v7_ordinal1(D) ) => ! [E] : ( ( v3_ordinal1(E) & v7_ordinal1(E) ) => ~ ( r1_arytm_3(D,E) & A = k9_ordinal3(C,D) & B = k9_ordinal3(C,E) ) ) ) ) ) ) => ? [A] : ( v3_ordinal1(A) & ? [F] : ( v3_ordinal1(F) & r1_tarski(F,A) & r2_tarski(A,k4_ordinal1) & A != k1_xboole_0 & ! [G] : ( ( v3_ordinal1(G) & v7_ordinal1(G) ) => ! [H] : ( ( v3_ordinal1(H) & v7_ordinal1(H) ) => ! [I] : ( ( v3_ordinal1(I) & v7_ordinal1(I) ) => ~ ( r1_arytm_3(H,I) & A = k9_ordinal3(G,H) & F = k9_ordinal3(G,I) ) ) ) ) ) & ! [J] : ( v3_ordinal1(J) => ( ? [K] : ( v3_ordinal1(K) & r1_tarski(K,J) & r2_tarski(J,k4_ordinal1) & J != k1_xboole_0 & ! [L] : ( ( v3_ordinal1(L) & v7_ordinal1(L) ) => ! [M] : ( ( v3_ordinal1(M) & v7_ordinal1(M) ) => ! [N] : ( ( v3_ordinal1(N) & v7_ordinal1(N) ) => ~ ( r1_arytm_3(M,N) & J = k9_ordinal3(L,M) & K = k9_ordinal3(L,N) ) ) ) ) ) => r1_ordinal1(A,J) ) ) ) )).
fof(s1_ordinal1__e4_67_2__classes1,axiom,( ! [A] : ( ? [B] : ( v3_ordinal1(B) & r2_tarski(A,k4_classes1(B)) ) => ? [B] : ( v3_ordinal1(B) & r2_tarski(A,k4_classes1(B)) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(A,k4_classes1(C)) => r1_ordinal1(B,C) ) ) ) ) )).
fof(s1_ordinal1__e4_9_1__zf_colla,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( ? [C] : ( v3_ordinal1(C) & r2_tarski(B,k1_zf_colla(A,C)) ) => ? [C] : ( v3_ordinal1(C) & r2_tarski(B,k1_zf_colla(A,C)) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(B,k1_zf_colla(A,D)) => r1_ordinal1(C,D) ) ) ) ) ) )).
fof(s1_ordinal1__e5_14__ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ( ? [B] : ( v3_ordinal1(B) & r2_tarski(B,k9_xtuple_0(A)) & ~ r1_tarski(B,k1_funct_1(A,B)) ) => ? [B] : ( v3_ordinal1(B) & r2_tarski(B,k9_xtuple_0(A)) & ~ r1_tarski(B,k1_funct_1(A,B)) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,k9_xtuple_0(A)) & ~ r1_tarski(C,k1_funct_1(A,C)) ) => r1_ordinal1(B,C) ) ) ) ) ) )).
fof(s1_ordinal1__e5_25__classes1,axiom,( ! [A] : ! [B] : ( ? [C] : ( v3_ordinal1(C) & r2_tarski(B,k3_classes1(A,C)) ) => ? [C] : ( v3_ordinal1(C) & r2_tarski(B,k3_classes1(A,C)) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(B,k3_classes1(A,D)) => r1_ordinal1(C,D) ) ) ) ) )).
fof(s1_ordinal1__e5_28__ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ( ? [B] : ( v3_ordinal1(B) & B != k1_xboole_0 & v4_ordinal1(B) & ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( ( k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) => ! [D] : ( v3_ordinal1(D) => ~ r1_ordinal2(D,C) ) ) ) ) => ? [B] : ( v3_ordinal1(B) & B != k1_xboole_0 & v4_ordinal1(B) & ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_ordinal2(E) ) => ( ( k9_xtuple_0(E) = B & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,B) => k1_funct_1(E,F) = k12_ordinal2(A,F) ) ) ) => ! [F] : ( v3_ordinal1(F) => ~ r1_ordinal2(F,E) ) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( G != k1_xboole_0 & v4_ordinal1(G) & ! [H] : ( ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & v1_ordinal2(H) ) => ( ( k9_xtuple_0(H) = G & ! [I] : ( v3_ordinal1(I) => ( r2_tarski(I,G) => k1_funct_1(H,I) = k12_ordinal2(A,I) ) ) ) => ! [I] : ( v3_ordinal1(I) => ~ r1_ordinal2(I,H) ) ) ) ) => r1_ordinal1(B,G) ) ) ) ) ) )).
fof(s1_ordinal1__e5_31__classes2,axiom,( ! [A] : ! [B] : ( v3_ordinal1(A) => ( ? [C] : ( v3_ordinal1(C) & ? [D] : ( r2_tarski(A,C) & r2_tarski(D,B) & k6_classes1(D) = C ) ) => ? [C] : ( v3_ordinal1(C) & ? [E] : ( r2_tarski(A,C) & r2_tarski(E,B) & k6_classes1(E) = C ) & ! [F] : ( v3_ordinal1(F) => ( ? [G] : ( r2_tarski(A,F) & r2_tarski(G,B) & k6_classes1(G) = F ) => r1_ordinal1(C,F) ) ) ) ) ) )).
fof(s1_ordinal1__e5_46_1_1__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ? [C] : ( v3_ordinal1(C) & r2_tarski(C,B) & r2_tarski(B,k11_ordinal2(C,A)) ) => ? [C] : ( v3_ordinal1(C) & r2_tarski(C,B) & r2_tarski(B,k11_ordinal2(C,A)) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,B) & r2_tarski(B,k11_ordinal2(D,A)) ) => r1_ordinal1(C,D) ) ) ) ) ) )).
fof(s1_ordinal1__e6_16__card_1,axiom,( ! [A] : ! [B] : ( v1_card_1(B) => ( ? [C] : ( v3_ordinal1(C) & r1_ordinal1(C,B) & r2_wellord2(A,C) ) => ? [C] : ( v3_ordinal1(C) & r1_ordinal1(C,B) & r2_wellord2(A,C) & ! [D] : ( v3_ordinal1(D) => ( ( r1_ordinal1(D,B) & r2_wellord2(A,D) ) => r1_ordinal1(C,D) ) ) ) ) ) )).
fof(s1_ordinal1__e6_6_1_1__zf_colla,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(A) => ( ? [C] : ( v3_ordinal1(C) & r2_hidden(B,k1_zf_colla(A,C)) ) => ? [C] : ( v3_ordinal1(C) & r2_hidden(B,k1_zf_colla(A,C)) & ! [D] : ( v3_ordinal1(D) => ( r2_hidden(B,k1_zf_colla(A,D)) => r1_ordinal1(C,D) ) ) ) ) ) )).
fof(s1_ordinal1__e7_105__pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ? [D] : ( v3_ordinal1(D) & k1_funct_1(B,D) != k1_funct_1(C,D) ) => ? [D] : ( v3_ordinal1(D) & k1_funct_1(B,D) != k1_funct_1(C,D) & ! [E] : ( v3_ordinal1(E) => ( k1_funct_1(B,E) != k1_funct_1(C,E) => r1_ordinal1(D,E) ) ) ) ) ) )).
fof(s1_ordinal1__e7_110_1__pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ? [D] : ( v3_ordinal1(D) & ~ r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(B,D)) ) => ? [D] : ( v3_ordinal1(D) & ~ r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(B,D)) & ! [E] : ( v3_ordinal1(E) => ( ~ r1_xxreal_0(k1_funct_1(C,E),k1_funct_1(B,E)) => r1_ordinal1(D,E) ) ) ) ) ) )).
fof(s1_ordinal1__e7_24__classes2,axiom,( ! [A] : ( ? [B] : ( v3_ordinal1(B) & ? [C] : ( B = k6_classes1(C) & r2_tarski(C,A) & ~ r2_tarski(B,A) ) ) => ? [B] : ( v3_ordinal1(B) & ? [D] : ( B = k6_classes1(D) & r2_tarski(D,A) & ~ r2_tarski(B,A) ) & ! [E] : ( v3_ordinal1(E) => ( ? [F] : ( E = k6_classes1(F) & r2_tarski(F,A) & ~ r2_tarski(E,A) ) => r1_ordinal1(B,E) ) ) ) ) )).
fof(s1_ordinal1__e7_26__zf_fund1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ? [C] : ( v3_ordinal1(C) & r2_tarski(C,k4_ordinal1) & ~ r2_tarski(C,B) ) => ? [C] : ( v3_ordinal1(C) & r2_tarski(C,k4_ordinal1) & ~ r2_tarski(C,B) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k4_ordinal1) & ~ r2_tarski(D,B) ) => r1_ordinal1(C,D) ) ) ) ) ) )).
fof(s1_ordinal1__e8_25_2__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ? [C] : ( v3_ordinal1(C) & r1_ordinal1(B,k10_ordinal2(A,C)) ) => ? [C] : ( v3_ordinal1(C) & r1_ordinal1(B,k10_ordinal2(A,C)) & ! [D] : ( v3_ordinal1(D) => ( r1_ordinal1(B,k10_ordinal2(A,D)) => r1_ordinal1(C,D) ) ) ) ) ) )).
fof(s1_ordinal1__e9_29_5__classes2,axiom,( ! [A] : ! [B] : ( ? [C] : ( v3_ordinal1(C) & r2_tarski(C,k1_card_1(A)) & r1_tarski(B,k4_classes1(C)) ) => ? [C] : ( v3_ordinal1(C) & r2_tarski(C,k1_card_1(A)) & r1_tarski(B,k4_classes1(C)) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_card_1(A)) & r1_tarski(B,k4_classes1(D)) ) => r1_ordinal1(C,D) ) ) ) ) )).
fof(s1_ordinal2__e11_72_1__ordinal6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ( ( ( r2_tarski(k5_ordinal1,A) => r2_tarski(k5_ordinal1,k9_xtuple_0(k3_ordinal6(B))) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,A) => r2_tarski(C,k9_xtuple_0(k3_ordinal6(B))) ) => ( r2_tarski(k1_ordinal1(C),A) => r2_tarski(k1_ordinal1(C),k9_xtuple_0(k3_ordinal6(B))) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(D,A) => r2_tarski(D,k9_xtuple_0(k3_ordinal6(B))) ) ) ) ) => ( C = k5_ordinal1 | ( r2_tarski(C,A) => r2_tarski(C,k9_xtuple_0(k3_ordinal6(B))) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => r2_tarski(C,k9_xtuple_0(k3_ordinal6(B))) ) ) ) ) )).
fof(s1_ordinal2__e12_99__ordinal6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal6(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( ( r2_tarski(k5_ordinal1,k9_xtuple_0(k7_ordinal6(A))) => r1_ordinal1(k1_funct_1(B,k5_ordinal1),k1_funct_1(k7_ordinal6(A),k5_ordinal1)) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,k9_xtuple_0(k7_ordinal6(A))) => r1_ordinal1(k1_funct_1(B,C),k1_funct_1(k7_ordinal6(A),C)) ) => ( r2_tarski(k1_ordinal1(C),k9_xtuple_0(k7_ordinal6(A))) => r1_ordinal1(k1_funct_1(B,k1_ordinal1(C)),k1_funct_1(k7_ordinal6(A),k1_ordinal1(C))) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(D,k9_xtuple_0(k7_ordinal6(A))) => r1_ordinal1(k1_funct_1(B,D),k1_funct_1(k7_ordinal6(A),D)) ) ) ) ) => ( C = k5_ordinal1 | ( r2_tarski(C,k9_xtuple_0(k7_ordinal6(A))) => r1_ordinal1(k1_funct_1(B,C),k1_funct_1(k7_ordinal6(A),C)) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(k7_ordinal6(A))) => r1_ordinal1(k1_funct_1(B,C),k1_funct_1(k7_ordinal6(A),C)) ) ) ) ) )).
fof(s1_ordinal2__e13_54__ordinal4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => ( ( ( r2_tarski(k5_ordinal1,k9_xtuple_0(B)) => ( v3_ordinal1(k1_funct_1(B,k5_ordinal1)) & m1_subset_1(k1_funct_1(B,k5_ordinal1),A) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,k9_xtuple_0(B)) => ( v3_ordinal1(k1_funct_1(B,C)) & m1_subset_1(k1_funct_1(B,C),A) ) ) => ( r2_tarski(k1_ordinal1(C),k9_xtuple_0(B)) => ( v3_ordinal1(k1_funct_1(B,k1_ordinal1(C))) & m1_subset_1(k1_funct_1(B,k1_ordinal1(C)),A) ) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(D,k9_xtuple_0(B)) => ( v3_ordinal1(k1_funct_1(B,D)) & m1_subset_1(k1_funct_1(B,D),A) ) ) ) ) ) => ( C = k5_ordinal1 | ( r2_tarski(C,k9_xtuple_0(B)) => ( v3_ordinal1(k1_funct_1(B,C)) & m1_subset_1(k1_funct_1(B,C),A) ) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => ( v3_ordinal1(k1_funct_1(B,C)) & m1_subset_1(k1_funct_1(B,C),A) ) ) ) ) ) )).
fof(s1_ordinal2__e13_56__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r3_lattices(A,C,k6_knaster(A,B,k6_lattices(A),k5_ordinal1)) & ! [D] : ( v3_ordinal1(D) => ( r3_lattices(A,C,k6_knaster(A,B,k6_lattices(A),D)) => r3_lattices(A,C,k6_knaster(A,B,k6_lattices(A),k1_ordinal1(D))) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => r3_lattices(A,C,k6_knaster(A,B,k6_lattices(A),E)) ) ) ) => ( D = k5_ordinal1 | r3_lattices(A,C,k6_knaster(A,B,k6_lattices(A),D)) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => r3_lattices(A,C,k6_knaster(A,B,k6_lattices(A),D)) ) ) ) )).
fof(s1_ordinal2__e17_21__finset_1,axiom,( ( ( r2_tarski(k5_ordinal1,k4_ordinal1) => ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k5_ordinal1))) => ~ ( A != k1_xboole_0 & ! [B] : ~ ( r2_tarski(B,A) & ! [C] : ( ( r2_tarski(C,A) & r1_tarski(B,C) ) => C = B ) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(D))) => ~ ( E != k1_xboole_0 & ! [F] : ~ ( r2_tarski(F,E) & ! [G] : ( ( r2_tarski(G,E) & r1_tarski(F,G) ) => G = F ) ) ) ) ) => ( r2_tarski(k1_ordinal1(D),k4_ordinal1) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(k1_ordinal1(D)))) => ~ ( H != k1_xboole_0 & ! [I] : ~ ( r2_tarski(I,H) & ! [J] : ( ( r2_tarski(J,H) & r1_tarski(I,J) ) => J = I ) ) ) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [K] : ( v3_ordinal1(K) => ( r2_tarski(K,D) => ( r2_tarski(K,k4_ordinal1) => ! [L] : ( m1_subset_1(L,k1_zfmisc_1(k1_zfmisc_1(K))) => ~ ( L != k1_xboole_0 & ! [M] : ~ ( r2_tarski(M,L) & ! [N] : ( ( r2_tarski(N,L) & r1_tarski(M,N) ) => N = M ) ) ) ) ) ) ) ) => ( D = k5_ordinal1 | ( r2_tarski(D,k4_ordinal1) => ! [O] : ( m1_subset_1(O,k1_zfmisc_1(k1_zfmisc_1(D))) => ~ ( O != k1_xboole_0 & ! [P] : ~ ( r2_tarski(P,O) & ! [Q] : ( ( r2_tarski(Q,O) & r1_tarski(P,Q) ) => Q = P ) ) ) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k4_ordinal1) => ! [R] : ( m1_subset_1(R,k1_zfmisc_1(k1_zfmisc_1(D))) => ~ ( R != k1_xboole_0 & ! [S] : ~ ( r2_tarski(S,R) & ! [T] : ( ( r2_tarski(T,R) & r1_tarski(S,T) ) => T = S ) ) ) ) ) ) )).
fof(s1_ordinal2__e1_21__classes2,axiom,( ( ! [A] : ( ( v2_classes1(A) & r2_tarski(k5_ordinal1,k2_ordinal1(A)) ) => ( r2_tarski(k1_card_1(k4_classes1(k5_ordinal1)),k1_card_1(A)) & r2_tarski(k4_classes1(k5_ordinal1),A) ) ) & ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( ( v2_classes1(C) & r2_tarski(B,k2_ordinal1(C)) ) => ( r2_tarski(k1_card_1(k4_classes1(B)),k1_card_1(C)) & r2_tarski(k4_classes1(B),C) ) ) => ! [D] : ( ( v2_classes1(D) & r2_tarski(k1_ordinal1(B),k2_ordinal1(D)) ) => ( r2_tarski(k1_card_1(k4_classes1(k1_ordinal1(B))),k1_card_1(D)) & r2_tarski(k4_classes1(k1_ordinal1(B)),D) ) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,B) => ! [F] : ( ( v2_classes1(F) & r2_tarski(E,k2_ordinal1(F)) ) => ( r2_tarski(k1_card_1(k4_classes1(E)),k1_card_1(F)) & r2_tarski(k4_classes1(E),F) ) ) ) ) ) => ( B = k5_ordinal1 | ! [G] : ( ( v2_classes1(G) & r2_tarski(B,k2_ordinal1(G)) ) => ( r2_tarski(k1_card_1(k4_classes1(B)),k1_card_1(G)) & r2_tarski(k4_classes1(B),G) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ! [H] : ( ( v2_classes1(H) & r2_tarski(B,k2_ordinal1(H)) ) => ( r2_tarski(k1_card_1(k4_classes1(B)),k1_card_1(H)) & r2_tarski(k4_classes1(B),H) ) ) ) )).
fof(s1_ordinal2__e4_135__ordinal6,axiom,( ( k13_ordinal6(1,k5_ordinal1) = k3_ordinal5(k5_ordinal1) & ! [A] : ( v3_ordinal1(A) => ( k13_ordinal6(1,A) = k3_ordinal5(A) => k13_ordinal6(1,k1_ordinal1(A)) = k3_ordinal5(k1_ordinal1(A)) ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => k13_ordinal6(1,B) = k3_ordinal5(B) ) ) ) => ( A = k5_ordinal1 | k13_ordinal6(1,A) = k3_ordinal5(A) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k13_ordinal6(1,A) = k3_ordinal5(A) ) )).
fof(s1_ordinal2__e4_25__ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ~ ( r1_ordinal1(A,k5_ordinal1) & ! [B] : ( v3_ordinal1(B) => k5_ordinal1 != k10_ordinal2(A,B) ) ) & ! [C] : ( v3_ordinal1(C) => ( ~ ( r1_ordinal1(A,C) & ! [D] : ( v3_ordinal1(D) => C != k10_ordinal2(A,D) ) ) => ~ ( r1_ordinal1(A,k1_ordinal1(C)) & ! [E] : ( v3_ordinal1(E) => k1_ordinal1(C) != k10_ordinal2(A,E) ) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,C) => ~ ( r1_ordinal1(A,F) & ! [G] : ( v3_ordinal1(G) => F != k10_ordinal2(A,G) ) ) ) ) ) => ( C = k5_ordinal1 | ~ ( r1_ordinal1(A,C) & ! [H] : ( v3_ordinal1(H) => C != k10_ordinal2(A,H) ) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ~ ( r1_ordinal1(A,C) & ! [I] : ( v3_ordinal1(I) => C != k10_ordinal2(A,I) ) ) ) ) ) )).
fof(s1_ordinal2__e4_25__ordinal4,axiom,( ( ( k5_ordinal1 != k1_xboole_0 => k12_ordinal2(k1_xboole_0,k5_ordinal1) = k1_xboole_0 ) & ! [A] : ( v3_ordinal1(A) => ( ( A != k1_xboole_0 => k12_ordinal2(k1_xboole_0,A) = k1_xboole_0 ) => ( k1_ordinal1(A) != k1_xboole_0 => k12_ordinal2(k1_xboole_0,k1_ordinal1(A)) = k1_xboole_0 ) ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ( B != k1_xboole_0 => k12_ordinal2(k1_xboole_0,B) = k1_xboole_0 ) ) ) ) => ( A = k5_ordinal1 | ( A != k1_xboole_0 => k12_ordinal2(k1_xboole_0,A) = k1_xboole_0 ) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => ( A != k1_xboole_0 => k12_ordinal2(k1_xboole_0,A) = k1_xboole_0 ) ) )).
fof(s1_ordinal2__e4_26__lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( r1_tarski(A,k3_lattice8(A,k5_ordinal1)) & ! [B] : ( v3_ordinal1(B) => ( r1_tarski(A,k3_lattice8(A,B)) => r1_tarski(A,k3_lattice8(A,k1_ordinal1(B))) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => r1_tarski(A,k3_lattice8(A,C)) ) ) ) => ( B = k5_ordinal1 | r1_tarski(A,k3_lattice8(A,B)) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => r1_tarski(A,k3_lattice8(A,B)) ) ) ) )).
fof(s1_ordinal2__e4_26__ordinal5,axiom,( ( k1_ordinal5(1,k5_ordinal1) = 1 & ! [A] : ( v3_ordinal1(A) => ( k1_ordinal5(1,A) = 1 => k1_ordinal5(1,k1_ordinal1(A)) = 1 ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => k1_ordinal5(1,B) = 1 ) ) ) => ( A = k5_ordinal1 | k1_ordinal5(1,A) = 1 ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k1_ordinal5(1,A) = 1 ) )).
fof(s1_ordinal2__e4_28_1__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,k5_ordinal1) & r2_tarski(k5_ordinal1,B) ) => r2_tarski(k12_ordinal2(A,C),k12_ordinal2(A,k5_ordinal1)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,D) & r2_tarski(D,B) ) => r2_tarski(k12_ordinal2(A,E),k12_ordinal2(A,D)) ) ) => ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(F,k1_ordinal1(D)) & r2_tarski(k1_ordinal1(D),B) ) => r2_tarski(k12_ordinal2(A,F),k12_ordinal2(A,k1_ordinal1(D))) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,D) => ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(H,G) & r2_tarski(G,B) ) => r2_tarski(k12_ordinal2(A,H),k12_ordinal2(A,G)) ) ) ) ) ) => ( D = k5_ordinal1 | ! [I] : ( v3_ordinal1(I) => ( ( r2_tarski(I,D) & r2_tarski(D,B) ) => r2_tarski(k12_ordinal2(A,I),k12_ordinal2(A,D)) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ! [J] : ( v3_ordinal1(J) => ( ( r2_tarski(J,D) & r2_tarski(D,B) ) => r2_tarski(k12_ordinal2(A,J),k12_ordinal2(A,D)) ) ) ) ) ) )).
fof(s1_ordinal2__e4_32__card_1,axiom,( ( ! [A] : ( v3_ordinal1(A) => ( r2_tarski(A,k5_ordinal1) => r2_tarski(k3_card_1(A),k3_card_1(k5_ordinal1)) ) ) & ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => r2_tarski(k3_card_1(C),k3_card_1(B)) ) ) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k1_ordinal1(B)) => r2_tarski(k3_card_1(D),k3_card_1(k1_ordinal1(B))) ) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,B) => ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => r2_tarski(k3_card_1(F),k3_card_1(E)) ) ) ) ) ) => ( B = k5_ordinal1 | ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,B) => r2_tarski(k3_card_1(G),k3_card_1(B)) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ! [H] : ( v3_ordinal1(H) => ( r2_tarski(H,B) => r2_tarski(k3_card_1(H),k3_card_1(B)) ) ) ) )).
fof(s1_ordinal2__e4_32__lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ( ( ( r1_ordinal1(B,k5_ordinal1) => r1_tarski(k3_lattice8(A,B),k3_lattice8(A,k5_ordinal1)) ) & ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(B,C) => r1_tarski(k3_lattice8(A,B),k3_lattice8(A,C)) ) => ( r1_ordinal1(B,k1_ordinal1(C)) => r1_tarski(k3_lattice8(A,B),k3_lattice8(A,k1_ordinal1(C))) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r1_ordinal1(B,D) => r1_tarski(k3_lattice8(A,B),k3_lattice8(A,D)) ) ) ) ) => ( C = k5_ordinal1 | ( r1_ordinal1(B,C) => r1_tarski(k3_lattice8(A,B),k3_lattice8(A,C)) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r1_ordinal1(B,C) => r1_tarski(k3_lattice8(A,B),k3_lattice8(A,C)) ) ) ) ) )).
fof(s1_ordinal2__e4_33_2_1__lattice8,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v3_ordinal1(B) ) => ( ( ( ( r1_ordinal1(B,k5_ordinal1) & r2_tarski(k5_ordinal1,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k5_ordinal1)) ) & ! [C] : ( v3_ordinal1(C) => ( ( ( r1_ordinal1(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) => ( ( r1_ordinal1(B,k1_ordinal1(C)) & r2_tarski(k1_ordinal1(C),k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k1_ordinal1(C))) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( ( r1_ordinal1(B,D) & r2_tarski(D,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,D)) ) ) ) ) => ( C = k5_ordinal1 | ( ( r1_ordinal1(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) )).
fof(s1_ordinal2__e4_35__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice8(A,B,C,D,k5_ordinal1)) & ! [E] : ( v3_ordinal1(E) => ( r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice8(A,B,C,D,E)) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice8(A,B,C,D,k1_ordinal1(E))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice8(A,B,C,D,F)) ) ) ) => ( E = k5_ordinal1 | r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice8(A,B,C,D,E)) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice8(A,B,C,D,E)) ) ) ) )).
fof(s1_ordinal2__e4_36__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & v3_ordinal1(D) & m1_lattice5(E,A,B,C) ) => ( ( ( r1_ordinal1(D,k5_ordinal1) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A,D),k3_lattice8(A,D)),u1_struct_0(B),k6_lattice8(A,B,C,E,D),k6_lattice8(A,B,C,E,k5_ordinal1)) ) & ! [F] : ( v3_ordinal1(F) => ( ( r1_ordinal1(D,F) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A,D),k3_lattice8(A,D)),u1_struct_0(B),k6_lattice8(A,B,C,E,D),k6_lattice8(A,B,C,E,F)) ) => ( r1_ordinal1(D,k1_ordinal1(F)) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A,D),k3_lattice8(A,D)),u1_struct_0(B),k6_lattice8(A,B,C,E,D),k6_lattice8(A,B,C,E,k1_ordinal1(F))) ) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( v4_ordinal1(F) & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,F) => ( r1_ordinal1(D,G) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A,D),k3_lattice8(A,D)),u1_struct_0(B),k6_lattice8(A,B,C,E,D),k6_lattice8(A,B,C,E,G)) ) ) ) ) => ( F = k5_ordinal1 | ( r1_ordinal1(D,F) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A,D),k3_lattice8(A,D)),u1_struct_0(B),k6_lattice8(A,B,C,E,D),k6_lattice8(A,B,C,E,F)) ) ) ) ) ) => ! [F] : ( v3_ordinal1(F) => ( r1_ordinal1(D,F) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A,D),k3_lattice8(A,D)),u1_struct_0(B),k6_lattice8(A,B,C,E,D),k6_lattice8(A,B,C,E,F)) ) ) ) ) )).
fof(s1_ordinal2__e4_43__classes1,axiom,( ( r1_tarski(k5_ordinal1,k4_classes1(k5_ordinal1)) & ! [A] : ( v3_ordinal1(A) => ( r1_tarski(A,k4_classes1(A)) => r1_tarski(k1_ordinal1(A),k4_classes1(k1_ordinal1(A))) ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => r1_tarski(B,k4_classes1(B)) ) ) ) => ( A = k5_ordinal1 | r1_tarski(A,k4_classes1(A)) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => r1_tarski(A,k4_classes1(A)) ) )).
fof(s1_ordinal2__e4_49__lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( r1_tarski(A,k8_lattice5(A,k5_ordinal1)) & ! [B] : ( v3_ordinal1(B) => ( r1_tarski(A,k8_lattice5(A,B)) => r1_tarski(A,k8_lattice5(A,k1_ordinal1(B))) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => r1_tarski(A,k8_lattice5(A,C)) ) ) ) => ( B = k5_ordinal1 | r1_tarski(A,k8_lattice5(A,B)) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => r1_tarski(A,k8_lattice5(A,B)) ) ) ) )).
fof(s1_ordinal2__e4_58__lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ( ( ( r1_ordinal1(B,k5_ordinal1) => r1_tarski(k8_lattice5(A,B),k8_lattice5(A,k5_ordinal1)) ) & ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(B,C) => r1_tarski(k8_lattice5(A,B),k8_lattice5(A,C)) ) => ( r1_ordinal1(B,k1_ordinal1(C)) => r1_tarski(k8_lattice5(A,B),k8_lattice5(A,k1_ordinal1(C))) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r1_ordinal1(B,D) => r1_tarski(k8_lattice5(A,B),k8_lattice5(A,D)) ) ) ) ) => ( C = k5_ordinal1 | ( r1_ordinal1(B,C) => r1_tarski(k8_lattice5(A,B),k8_lattice5(A,C)) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r1_ordinal1(B,C) => r1_tarski(k8_lattice5(A,B),k8_lattice5(A,C)) ) ) ) ) )).
fof(s1_ordinal2__e4_59_2_1__lattice5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal1(B) ) => ( ( ( ( r1_ordinal1(B,k5_ordinal1) & r2_tarski(k5_ordinal1,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k5_ordinal1)) ) & ! [C] : ( v3_ordinal1(C) => ( ( ( r1_ordinal1(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) => ( ( r1_ordinal1(B,k1_ordinal1(C)) & r2_tarski(k1_ordinal1(C),k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k1_ordinal1(C))) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( ( r1_ordinal1(B,D) & r2_tarski(D,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,D)) ) ) ) ) => ( C = k5_ordinal1 | ( ( r1_ordinal1(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(B,C) & r2_tarski(C,k9_xtuple_0(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) )).
fof(s1_ordinal2__e4_60__ordinal2,axiom,( ( k10_ordinal2(k5_ordinal1,k5_ordinal1) = k5_ordinal1 & ! [A] : ( v3_ordinal1(A) => ( k10_ordinal2(k5_ordinal1,A) = A => k10_ordinal2(k5_ordinal1,k1_ordinal1(A)) = k1_ordinal1(A) ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => k10_ordinal2(k5_ordinal1,B) = B ) ) ) => ( A = k5_ordinal1 | k10_ordinal2(k5_ordinal1,A) = A ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k10_ordinal2(k5_ordinal1,A) = A ) )).
fof(s1_ordinal2__e4_61__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k12_lattice5(A,B,C,D,k5_ordinal1)) & ! [E] : ( v3_ordinal1(E) => ( r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k12_lattice5(A,B,C,D,E)) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k12_lattice5(A,B,C,D,k1_ordinal1(E))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k12_lattice5(A,B,C,D,F)) ) ) ) => ( E = k5_ordinal1 | r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k12_lattice5(A,B,C,D,E)) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k12_lattice5(A,B,C,D,E)) ) ) ) )).
fof(s1_ordinal2__e4_62__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v3_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(E,A,B,D) ) => ( ( ( r1_ordinal1(C,k5_ordinal1) => r1_relset_1(k2_zfmisc_1(k8_lattice5(A,C),k8_lattice5(A,C)),u1_struct_0(B),k12_lattice5(A,B,D,E,C),k12_lattice5(A,B,D,E,k5_ordinal1)) ) & ! [F] : ( v3_ordinal1(F) => ( ( r1_ordinal1(C,F) => r1_relset_1(k2_zfmisc_1(k8_lattice5(A,C),k8_lattice5(A,C)),u1_struct_0(B),k12_lattice5(A,B,D,E,C),k12_lattice5(A,B,D,E,F)) ) => ( r1_ordinal1(C,k1_ordinal1(F)) => r1_relset_1(k2_zfmisc_1(k8_lattice5(A,C),k8_lattice5(A,C)),u1_struct_0(B),k12_lattice5(A,B,D,E,C),k12_lattice5(A,B,D,E,k1_ordinal1(F))) ) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( v4_ordinal1(F) & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,F) => ( r1_ordinal1(C,G) => r1_relset_1(k2_zfmisc_1(k8_lattice5(A,C),k8_lattice5(A,C)),u1_struct_0(B),k12_lattice5(A,B,D,E,C),k12_lattice5(A,B,D,E,G)) ) ) ) ) => ( F = k5_ordinal1 | ( r1_ordinal1(C,F) => r1_relset_1(k2_zfmisc_1(k8_lattice5(A,C),k8_lattice5(A,C)),u1_struct_0(B),k12_lattice5(A,B,D,E,C),k12_lattice5(A,B,D,E,F)) ) ) ) ) ) => ! [F] : ( v3_ordinal1(F) => ( r1_ordinal1(C,F) => r1_relset_1(k2_zfmisc_1(k8_lattice5(A,C),k8_lattice5(A,C)),u1_struct_0(B),k12_lattice5(A,B,D,E,C),k12_lattice5(A,B,D,E,F)) ) ) ) ) )).
fof(s1_ordinal2__e4_66__classes2,axiom,( ( ! [A] : ( v3_ordinal1(A) => ( r2_tarski(A,k5_ordinal1) => r2_tarski(k16_classes2(A),k16_classes2(k5_ordinal1)) ) ) & ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => r2_tarski(k16_classes2(C),k16_classes2(B)) ) ) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k1_ordinal1(B)) => r2_tarski(k16_classes2(D),k16_classes2(k1_ordinal1(B))) ) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,B) => ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => r2_tarski(k16_classes2(F),k16_classes2(E)) ) ) ) ) ) => ( B = k5_ordinal1 | ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,B) => r2_tarski(k16_classes2(G),k16_classes2(B)) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ! [H] : ( v3_ordinal1(H) => ( r2_tarski(H,B) => r2_tarski(k16_classes2(H),k16_classes2(B)) ) ) ) )).
fof(s1_ordinal2__e4_66__ordinal5,axiom,( ( r1_ordinal1(k5_ordinal1,k3_ordinal5(k5_ordinal1)) & ! [A] : ( v3_ordinal1(A) => ( r1_ordinal1(A,k3_ordinal5(A)) => r1_ordinal1(k1_ordinal1(A),k3_ordinal5(k1_ordinal1(A))) ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => r1_ordinal1(B,k3_ordinal5(B)) ) ) ) => ( A = k5_ordinal1 | r1_ordinal1(A,k3_ordinal5(A)) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => r1_ordinal1(A,k3_ordinal5(A)) ) )).
fof(s1_ordinal2__e4_68__ordinal2,axiom,( ( k11_ordinal2(k5_ordinal1,k5_ordinal1) = k5_ordinal1 & ! [A] : ( v3_ordinal1(A) => ( k11_ordinal2(A,k5_ordinal1) = k5_ordinal1 => k11_ordinal2(k1_ordinal1(A),k5_ordinal1) = k5_ordinal1 ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => k11_ordinal2(B,k5_ordinal1) = k5_ordinal1 ) ) ) => ( A = k5_ordinal1 | k11_ordinal2(A,k5_ordinal1) = k5_ordinal1 ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k11_ordinal2(A,k5_ordinal1) = k5_ordinal1 ) )).
fof(s1_ordinal2__e4_70__ordinal5,axiom,( ( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal5(A) ) => ( r2_tarski(A,k3_ordinal5(k5_ordinal1)) => ? [B] : ( v3_ordinal1(B) & A = k3_ordinal5(B) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( ( v3_ordinal1(D) & v4_ordinal5(D) ) => ( r2_tarski(D,k3_ordinal5(C)) => ? [E] : ( v3_ordinal1(E) & D = k3_ordinal5(E) ) ) ) => ! [F] : ( ( v3_ordinal1(F) & v4_ordinal5(F) ) => ( r2_tarski(F,k3_ordinal5(k1_ordinal1(C))) => ? [G] : ( v3_ordinal1(G) & F = k3_ordinal5(G) ) ) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(H,C) => ! [I] : ( ( v3_ordinal1(I) & v4_ordinal5(I) ) => ( r2_tarski(I,k3_ordinal5(H)) => ? [J] : ( v3_ordinal1(J) & I = k3_ordinal5(J) ) ) ) ) ) ) => ( C = k5_ordinal1 | ! [K] : ( ( v3_ordinal1(K) & v4_ordinal5(K) ) => ( r2_tarski(K,k3_ordinal5(C)) => ? [L] : ( v3_ordinal1(L) & K = k3_ordinal5(L) ) ) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ! [M] : ( ( v3_ordinal1(M) & v4_ordinal5(M) ) => ( r2_tarski(M,k3_ordinal5(C)) => ? [N] : ( v3_ordinal1(N) & M = k3_ordinal5(N) ) ) ) ) )).
fof(s1_ordinal2__e5_109__ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(B,k5_ordinal1) & r2_tarski(k5_ordinal1,A) & r2_tarski(C,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),k5_ordinal1))) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k5_ordinal1) => v2_ordinal6(k1_funct_1(k11_ordinal6(A),D)) ) ) ) => r1_ordinal1(k1_funct_1(k1_funct_1(k11_ordinal6(A),B),C),k1_funct_1(k1_funct_1(k11_ordinal6(A),k5_ordinal1),C)) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ! [F] : ( v3_ordinal1(F) => ! [G] : ( v3_ordinal1(G) => ( ( r1_ordinal1(F,E) & r2_tarski(E,A) & r2_tarski(G,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),E))) & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(H,E) => v2_ordinal6(k1_funct_1(k11_ordinal6(A),H)) ) ) ) => r1_ordinal1(k1_funct_1(k1_funct_1(k11_ordinal6(A),F),G),k1_funct_1(k1_funct_1(k11_ordinal6(A),E),G)) ) ) ) => ! [I] : ( v3_ordinal1(I) => ! [J] : ( v3_ordinal1(J) => ( ( r1_ordinal1(I,k1_ordinal1(E)) & r2_tarski(k1_ordinal1(E),A) & r2_tarski(J,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),k1_ordinal1(E)))) & ! [K] : ( v3_ordinal1(K) => ( r2_tarski(K,k1_ordinal1(E)) => v2_ordinal6(k1_funct_1(k11_ordinal6(A),K)) ) ) ) => r1_ordinal1(k1_funct_1(k1_funct_1(k11_ordinal6(A),I),J),k1_funct_1(k1_funct_1(k11_ordinal6(A),k1_ordinal1(E)),J)) ) ) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [L] : ( v3_ordinal1(L) => ( r2_tarski(L,E) => ! [M] : ( v3_ordinal1(M) => ! [N] : ( v3_ordinal1(N) => ( ( r1_ordinal1(M,L) & r2_tarski(L,A) & r2_tarski(N,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),L))) & ! [O] : ( v3_ordinal1(O) => ( r2_tarski(O,L) => v2_ordinal6(k1_funct_1(k11_ordinal6(A),O)) ) ) ) => r1_ordinal1(k1_funct_1(k1_funct_1(k11_ordinal6(A),M),N),k1_funct_1(k1_funct_1(k11_ordinal6(A),L),N)) ) ) ) ) ) ) => ( E = k5_ordinal1 | ! [P] : ( v3_ordinal1(P) => ! [Q] : ( v3_ordinal1(Q) => ( ( r1_ordinal1(P,E) & r2_tarski(E,A) & r2_tarski(Q,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),E))) & ! [R] : ( v3_ordinal1(R) => ( r2_tarski(R,E) => v2_ordinal6(k1_funct_1(k11_ordinal6(A),R)) ) ) ) => r1_ordinal1(k1_funct_1(k1_funct_1(k11_ordinal6(A),P),Q),k1_funct_1(k1_funct_1(k11_ordinal6(A),E),Q)) ) ) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => ! [S] : ( v3_ordinal1(S) => ! [T] : ( v3_ordinal1(T) => ( ( r1_ordinal1(S,E) & r2_tarski(E,A) & r2_tarski(T,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),E))) & ! [U] : ( v3_ordinal1(U) => ( r2_tarski(U,E) => v2_ordinal6(k1_funct_1(k11_ordinal6(A),U)) ) ) ) => r1_ordinal1(k1_funct_1(k1_funct_1(k11_ordinal6(A),S),T),k1_funct_1(k1_funct_1(k11_ordinal6(A),E),T)) ) ) ) ) ) ) )).
fof(s1_ordinal2__e5_114__ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ( ( r2_tarski(k5_ordinal1,A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(A),k5_ordinal1)) & v1_funct_2(k1_funct_1(k11_ordinal6(A),k5_ordinal1),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k1_funct_1(k11_ordinal6(A),k5_ordinal1)) & m1_subset_1(k1_funct_1(k11_ordinal6(A),k5_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(B,A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(A),B)) & v1_funct_2(k1_funct_1(k11_ordinal6(A),B),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k1_funct_1(k11_ordinal6(A),B)) & m1_subset_1(k1_funct_1(k11_ordinal6(A),B),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) => ( r2_tarski(k1_ordinal1(B),A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(A),k1_ordinal1(B))) & v1_funct_2(k1_funct_1(k11_ordinal6(A),k1_ordinal1(B)),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k1_funct_1(k11_ordinal6(A),k1_ordinal1(B))) & m1_subset_1(k1_funct_1(k11_ordinal6(A),k1_ordinal1(B)),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ( r2_tarski(C,A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(A),C)) & v1_funct_2(k1_funct_1(k11_ordinal6(A),C),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k1_funct_1(k11_ordinal6(A),C)) & m1_subset_1(k1_funct_1(k11_ordinal6(A),C),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) ) ) ) => ( B = k5_ordinal1 | ( r2_tarski(B,A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(A),B)) & v1_funct_2(k1_funct_1(k11_ordinal6(A),B),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k1_funct_1(k11_ordinal6(A),B)) & m1_subset_1(k1_funct_1(k11_ordinal6(A),B),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ( v1_funct_1(k1_funct_1(k11_ordinal6(A),B)) & v1_funct_2(k1_funct_1(k11_ordinal6(A),B),k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(k1_funct_1(k11_ordinal6(A),B)) & m1_subset_1(k1_funct_1(k11_ordinal6(A),B),k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) ) ) ) ) )).
fof(s1_ordinal2__e5_17_1_2__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ( r2_tarski(k5_numbers,k5_ordinal1) => v4_ordinal1(k12_ordinal2(A,k5_ordinal1)) ) & ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(k5_numbers,B) => v4_ordinal1(k12_ordinal2(A,B)) ) => ( r2_tarski(k5_numbers,k1_ordinal1(B)) => v4_ordinal1(k12_ordinal2(A,k1_ordinal1(B))) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ( r2_tarski(k5_numbers,C) => v4_ordinal1(k12_ordinal2(A,C)) ) ) ) ) => ( B = k5_ordinal1 | ( r2_tarski(k5_numbers,B) => v4_ordinal1(k12_ordinal2(A,B)) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(k5_numbers,B) => v4_ordinal1(k12_ordinal2(A,B)) ) ) ) ) )).
fof(s1_ordinal2__e5_28__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( k10_ordinal2(k10_ordinal2(A,B),k5_ordinal1) = k10_ordinal2(A,k10_ordinal2(B,k5_ordinal1)) & ! [C] : ( v3_ordinal1(C) => ( k10_ordinal2(k10_ordinal2(A,B),C) = k10_ordinal2(A,k10_ordinal2(B,C)) => k10_ordinal2(k10_ordinal2(A,B),k1_ordinal1(C)) = k10_ordinal2(A,k10_ordinal2(B,k1_ordinal1(C))) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => k10_ordinal2(k10_ordinal2(A,B),D) = k10_ordinal2(A,k10_ordinal2(B,D)) ) ) ) => ( C = k5_ordinal1 | k10_ordinal2(k10_ordinal2(A,B),C) = k10_ordinal2(A,k10_ordinal2(B,C)) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => k10_ordinal2(k10_ordinal2(A,B),C) = k10_ordinal2(A,k10_ordinal2(B,C)) ) ) ) )).
fof(s1_ordinal2__e5_30_1_2__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(B,C) & r1_ordinal1(C,k5_ordinal1) ) => r1_ordinal1(k1_ordinal5(A,B),k1_ordinal5(A,C)) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ! [E] : ( v3_ordinal1(E) => ! [F] : ( v3_ordinal1(F) => ( ( r1_ordinal1(E,F) & r1_ordinal1(F,D) ) => r1_ordinal1(k1_ordinal5(A,E),k1_ordinal5(A,F)) ) ) ) => ! [G] : ( v3_ordinal1(G) => ! [H] : ( v3_ordinal1(H) => ( ( r1_ordinal1(G,H) & r1_ordinal1(H,k1_ordinal1(D)) ) => r1_ordinal1(k1_ordinal5(A,G),k1_ordinal5(A,H)) ) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [I] : ( v3_ordinal1(I) => ( r2_tarski(I,D) => ! [J] : ( v3_ordinal1(J) => ! [K] : ( v3_ordinal1(K) => ( ( r1_ordinal1(J,K) & r1_ordinal1(K,I) ) => r1_ordinal1(k1_ordinal5(A,J),k1_ordinal5(A,K)) ) ) ) ) ) ) => ( D = k5_ordinal1 | ! [L] : ( v3_ordinal1(L) => ! [M] : ( v3_ordinal1(M) => ( ( r1_ordinal1(L,M) & r1_ordinal1(M,D) ) => r1_ordinal1(k1_ordinal5(A,L),k1_ordinal5(A,M)) ) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ! [N] : ( v3_ordinal1(N) => ! [O] : ( v3_ordinal1(O) => ( ( r1_ordinal1(N,O) & r1_ordinal1(O,D) ) => r1_ordinal1(k1_ordinal5(A,N),k1_ordinal5(A,O)) ) ) ) ) ) ) )).
fof(s1_ordinal2__e5_30__ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( k12_ordinal2(A,k5_ordinal1) != k1_xboole_0 & ! [B] : ( v3_ordinal1(B) => ( k12_ordinal2(A,B) != k1_xboole_0 => k12_ordinal2(A,k1_ordinal1(B)) != k1_xboole_0 ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => k12_ordinal2(A,C) != k1_xboole_0 ) ) ) => ( B = k5_ordinal1 | k12_ordinal2(A,B) != k1_xboole_0 ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k12_ordinal2(A,B) != k1_xboole_0 ) ) ) )).
fof(s1_ordinal2__e5_32__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r3_lattices(A,C,k5_knaster(A,B,C,k5_ordinal1)) & ! [D] : ( v3_ordinal1(D) => ( r3_lattices(A,C,k5_knaster(A,B,C,D)) => r3_lattices(A,C,k5_knaster(A,B,C,k1_ordinal1(D))) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => r3_lattices(A,C,k5_knaster(A,B,C,E)) ) ) ) => ( D = k5_ordinal1 | r3_lattices(A,C,k5_knaster(A,B,C,D)) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => r3_lattices(A,C,k5_knaster(A,B,C,D)) ) ) ) )).
fof(s1_ordinal2__e5_32__ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k5_ordinal1) => r2_tarski(k12_ordinal2(A,B),k12_ordinal2(A,k5_ordinal1)) ) ) & ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => r2_tarski(k12_ordinal2(A,D),k12_ordinal2(A,C)) ) ) => ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k1_ordinal1(C)) => r2_tarski(k12_ordinal2(A,E),k12_ordinal2(A,k1_ordinal1(C))) ) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,C) => ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,F) => r2_tarski(k12_ordinal2(A,G),k12_ordinal2(A,F)) ) ) ) ) ) => ( C = k5_ordinal1 | ! [H] : ( v3_ordinal1(H) => ( r2_tarski(H,C) => r2_tarski(k12_ordinal2(A,H),k12_ordinal2(A,C)) ) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ! [I] : ( v3_ordinal1(I) => ( r2_tarski(I,C) => r2_tarski(k12_ordinal2(A,I),k12_ordinal2(A,C)) ) ) ) ) ) )).
fof(s1_ordinal2__e5_32__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ( r2_tarski(k5_numbers,k5_ordinal1) => r1_ordinal1(A,k1_ordinal5(A,k5_ordinal1)) ) & ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(k5_numbers,B) => r1_ordinal1(A,k1_ordinal5(A,B)) ) => ( r2_tarski(k5_numbers,k1_ordinal1(B)) => r1_ordinal1(A,k1_ordinal5(A,k1_ordinal1(B))) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ( r2_tarski(k5_numbers,C) => r1_ordinal1(A,k1_ordinal5(A,C)) ) ) ) ) => ( B = k5_ordinal1 | ( r2_tarski(k5_numbers,B) => r1_ordinal1(A,k1_ordinal5(A,B)) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(k5_numbers,B) => r1_ordinal1(A,k1_ordinal5(A,B)) ) ) ) ) )).
fof(s1_ordinal2__e5_33__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r3_lattices(A,k6_knaster(A,B,C,k5_ordinal1),C) & ! [D] : ( v3_ordinal1(D) => ( r3_lattices(A,k6_knaster(A,B,C,D),C) => r3_lattices(A,k6_knaster(A,B,C,k1_ordinal1(D)),C) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => r3_lattices(A,k6_knaster(A,B,C,E),C) ) ) ) => ( D = k5_ordinal1 | r3_lattices(A,k6_knaster(A,B,C,D),C) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => r3_lattices(A,k6_knaster(A,B,C,D),C) ) ) ) )).
fof(s1_ordinal2__e5_33__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( v1_funct_1(k5_lattice8(A,B,C,D,k5_ordinal1)) & v1_funct_2(k5_lattice8(A,B,C,D,k5_ordinal1),k2_zfmisc_1(k3_lattice8(A,k5_ordinal1),k3_lattice8(A,k5_ordinal1)),u1_struct_0(B)) & m1_subset_1(k5_lattice8(A,B,C,D,k5_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,k5_ordinal1),k3_lattice8(A,k5_ordinal1)),u1_struct_0(B)))) & ! [E] : ( v3_ordinal1(E) => ( ( v1_funct_1(k5_lattice8(A,B,C,D,E)) & v1_funct_2(k5_lattice8(A,B,C,D,E),k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)) & m1_subset_1(k5_lattice8(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)))) ) => ( v1_funct_1(k5_lattice8(A,B,C,D,k1_ordinal1(E))) & v1_funct_2(k5_lattice8(A,B,C,D,k1_ordinal1(E)),k2_zfmisc_1(k3_lattice8(A,k1_ordinal1(E)),k3_lattice8(A,k1_ordinal1(E))),u1_struct_0(B)) & m1_subset_1(k5_lattice8(A,B,C,D,k1_ordinal1(E)),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,k1_ordinal1(E)),k3_lattice8(A,k1_ordinal1(E))),u1_struct_0(B)))) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => ( v1_funct_1(k5_lattice8(A,B,C,D,F)) & v1_funct_2(k5_lattice8(A,B,C,D,F),k2_zfmisc_1(k3_lattice8(A,F),k3_lattice8(A,F)),u1_struct_0(B)) & m1_subset_1(k5_lattice8(A,B,C,D,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,F),k3_lattice8(A,F)),u1_struct_0(B)))) ) ) ) ) => ( E = k5_ordinal1 | ( v1_funct_1(k5_lattice8(A,B,C,D,E)) & v1_funct_2(k5_lattice8(A,B,C,D,E),k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)) & m1_subset_1(k5_lattice8(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)))) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => ( v1_funct_1(k5_lattice8(A,B,C,D,E)) & v1_funct_2(k5_lattice8(A,B,C,D,E),k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)) & m1_subset_1(k5_lattice8(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)))) ) ) ) ) )).
fof(s1_ordinal2__e5_37__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( v2_lattice5(k6_lattice8(A,B,C,D,k5_ordinal1),k3_lattice8(A,k5_ordinal1),B) & ! [E] : ( v3_ordinal1(E) => ( v2_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) => v2_lattice5(k6_lattice8(A,B,C,D,k1_ordinal1(E)),k3_lattice8(A,k1_ordinal1(E)),B) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => v2_lattice5(k6_lattice8(A,B,C,D,F),k3_lattice8(A,F),B) ) ) ) => ( E = k5_ordinal1 | v2_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => v2_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) ) ) )).
fof(s1_ordinal2__e5_38__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( v1_lattice5(k6_lattice8(A,B,C,D,k5_ordinal1),k3_lattice8(A,k5_ordinal1),B) & ! [E] : ( v3_ordinal1(E) => ( v1_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) => v1_lattice5(k6_lattice8(A,B,C,D,k1_ordinal1(E)),k3_lattice8(A,k1_ordinal1(E)),B) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => v1_lattice5(k6_lattice8(A,B,C,D,F),k3_lattice8(A,F),B) ) ) ) => ( E = k5_ordinal1 | v1_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => v1_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) ) ) )).
fof(s1_ordinal2__e5_40__ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( r1_ordinal1(k5_ordinal1,k12_ordinal2(A,k5_ordinal1)) & ! [B] : ( v3_ordinal1(B) => ( r1_ordinal1(B,k12_ordinal2(A,B)) => r1_ordinal1(k1_ordinal1(B),k12_ordinal2(A,k1_ordinal1(B))) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => r1_ordinal1(C,k12_ordinal2(A,C)) ) ) ) => ( B = k5_ordinal1 | r1_ordinal1(B,k12_ordinal2(A,B)) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => r1_ordinal1(B,k12_ordinal2(A,B)) ) ) ) )).
fof(s1_ordinal2__e5_45__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( k11_ordinal2(k10_ordinal2(A,k5_ordinal1),B) = k10_ordinal2(k11_ordinal2(A,B),k11_ordinal2(k5_ordinal1,B)) & ! [C] : ( v3_ordinal1(C) => ( k11_ordinal2(k10_ordinal2(A,C),B) = k10_ordinal2(k11_ordinal2(A,B),k11_ordinal2(C,B)) => k11_ordinal2(k10_ordinal2(A,k1_ordinal1(C)),B) = k10_ordinal2(k11_ordinal2(A,B),k11_ordinal2(k1_ordinal1(C),B)) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => k11_ordinal2(k10_ordinal2(A,D),B) = k10_ordinal2(k11_ordinal2(A,B),k11_ordinal2(D,B)) ) ) ) => ( C = k5_ordinal1 | k11_ordinal2(k10_ordinal2(A,C),B) = k10_ordinal2(k11_ordinal2(A,B),k11_ordinal2(C,B)) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => k11_ordinal2(k10_ordinal2(A,C),B) = k10_ordinal2(k11_ordinal2(A,B),k11_ordinal2(C,B)) ) ) ) )).
fof(s1_ordinal2__e5_46__ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ? [B] : ( v3_ordinal1(B) & ? [C] : ( v3_ordinal1(C) & k5_ordinal1 = k10_ordinal2(k11_ordinal2(B,A),C) & r2_tarski(C,A) ) ) & ! [D] : ( v3_ordinal1(D) => ( ? [E] : ( v3_ordinal1(E) & ? [F] : ( v3_ordinal1(F) & D = k10_ordinal2(k11_ordinal2(E,A),F) & r2_tarski(F,A) ) ) => ? [G] : ( v3_ordinal1(G) & ? [H] : ( v3_ordinal1(H) & k1_ordinal1(D) = k10_ordinal2(k11_ordinal2(G,A),H) & r2_tarski(H,A) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [I] : ( v3_ordinal1(I) => ( r2_tarski(I,D) => ? [J] : ( v3_ordinal1(J) & ? [K] : ( v3_ordinal1(K) & I = k10_ordinal2(k11_ordinal2(J,A),K) & r2_tarski(K,A) ) ) ) ) ) => ( D = k5_ordinal1 | ? [L] : ( v3_ordinal1(L) & ? [M] : ( v3_ordinal1(M) & D = k10_ordinal2(k11_ordinal2(L,A),M) & r2_tarski(M,A) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ? [N] : ( v3_ordinal1(N) & ? [O] : ( v3_ordinal1(O) & D = k10_ordinal2(k11_ordinal2(N,A),O) & r2_tarski(O,A) ) ) ) ) ) )).
fof(s1_ordinal2__e5_59__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( v1_funct_1(k11_lattice5(A,B,C,D,k5_ordinal1)) & v1_funct_2(k11_lattice5(A,B,C,D,k5_ordinal1),k2_zfmisc_1(k8_lattice5(A,k5_ordinal1),k8_lattice5(A,k5_ordinal1)),u1_struct_0(B)) & m1_subset_1(k11_lattice5(A,B,C,D,k5_ordinal1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A,k5_ordinal1),k8_lattice5(A,k5_ordinal1)),u1_struct_0(B)))) & ! [E] : ( v3_ordinal1(E) => ( ( v1_funct_1(k11_lattice5(A,B,C,D,E)) & v1_funct_2(k11_lattice5(A,B,C,D,E),k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)) & m1_subset_1(k11_lattice5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)))) ) => ( v1_funct_1(k11_lattice5(A,B,C,D,k1_ordinal1(E))) & v1_funct_2(k11_lattice5(A,B,C,D,k1_ordinal1(E)),k2_zfmisc_1(k8_lattice5(A,k1_ordinal1(E)),k8_lattice5(A,k1_ordinal1(E))),u1_struct_0(B)) & m1_subset_1(k11_lattice5(A,B,C,D,k1_ordinal1(E)),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A,k1_ordinal1(E)),k8_lattice5(A,k1_ordinal1(E))),u1_struct_0(B)))) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => ( v1_funct_1(k11_lattice5(A,B,C,D,F)) & v1_funct_2(k11_lattice5(A,B,C,D,F),k2_zfmisc_1(k8_lattice5(A,F),k8_lattice5(A,F)),u1_struct_0(B)) & m1_subset_1(k11_lattice5(A,B,C,D,F),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A,F),k8_lattice5(A,F)),u1_struct_0(B)))) ) ) ) ) => ( E = k5_ordinal1 | ( v1_funct_1(k11_lattice5(A,B,C,D,E)) & v1_funct_2(k11_lattice5(A,B,C,D,E),k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)) & m1_subset_1(k11_lattice5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)))) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => ( v1_funct_1(k11_lattice5(A,B,C,D,E)) & v1_funct_2(k11_lattice5(A,B,C,D,E),k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)) & m1_subset_1(k11_lattice5(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_lattice5(A,E),k8_lattice5(A,E)),u1_struct_0(B)))) ) ) ) ) )).
fof(s1_ordinal2__e5_62__ordinal5,axiom,( ( r2_tarski(1,k3_ordinal5(k5_ordinal1)) & ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(A,B) & r1_ordinal1(B,k5_ordinal1) ) => r2_tarski(k3_ordinal5(A),k3_ordinal5(B)) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(1,k3_ordinal5(C)) & ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(D,E) & r1_ordinal1(E,C) ) => r2_tarski(k3_ordinal5(D),k3_ordinal5(E)) ) ) ) ) => ( r2_tarski(1,k3_ordinal5(k1_ordinal1(C))) & ! [F] : ( v3_ordinal1(F) => ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(F,G) & r1_ordinal1(G,k1_ordinal1(C)) ) => r2_tarski(k3_ordinal5(F),k3_ordinal5(G)) ) ) ) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(H,C) => ( r2_tarski(1,k3_ordinal5(H)) & ! [I] : ( v3_ordinal1(I) => ! [J] : ( v3_ordinal1(J) => ( ( r2_tarski(I,J) & r1_ordinal1(J,H) ) => r2_tarski(k3_ordinal5(I),k3_ordinal5(J)) ) ) ) ) ) ) ) => ( C = k5_ordinal1 | ( r2_tarski(1,k3_ordinal5(C)) & ! [K] : ( v3_ordinal1(K) => ! [L] : ( v3_ordinal1(L) => ( ( r2_tarski(K,L) & r1_ordinal1(L,C) ) => r2_tarski(k3_ordinal5(K),k3_ordinal5(L)) ) ) ) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(1,k3_ordinal5(C)) & ! [M] : ( v3_ordinal1(M) => ! [N] : ( v3_ordinal1(N) => ( ( r2_tarski(M,N) & r1_ordinal1(N,C) ) => r2_tarski(k3_ordinal5(M),k3_ordinal5(N)) ) ) ) ) ) )).
fof(s1_ordinal2__e5_63__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( v2_lattice5(k12_lattice5(A,B,C,D,k5_ordinal1),k8_lattice5(A,k5_ordinal1),B) & ! [E] : ( v3_ordinal1(E) => ( v2_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) => v2_lattice5(k12_lattice5(A,B,C,D,k1_ordinal1(E)),k8_lattice5(A,k1_ordinal1(E)),B) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => v2_lattice5(k12_lattice5(A,B,C,D,F),k8_lattice5(A,F),B) ) ) ) => ( E = k5_ordinal1 | v2_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => v2_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) ) ) ) )).
fof(s1_ordinal2__e5_64__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( v1_lattice5(k12_lattice5(A,B,C,D,k5_ordinal1),k8_lattice5(A,k5_ordinal1),B) & ! [E] : ( v3_ordinal1(E) => ( v1_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) => v1_lattice5(k12_lattice5(A,B,C,D,k1_ordinal1(E)),k8_lattice5(A,k1_ordinal1(E)),B) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => v1_lattice5(k12_lattice5(A,B,C,D,F),k8_lattice5(A,F),B) ) ) ) => ( E = k5_ordinal1 | v1_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => v1_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) ) ) ) )).
fof(s1_ordinal2__e5_74__card_2,axiom,( ( ? [A] : ( v7_ordinal1(A) & k11_ordinal2(k5_ordinal1,2) = k10_ordinal2(k5_ordinal1,A) ) & ! [B] : ( v3_ordinal1(B) => ( ? [C] : ( v7_ordinal1(C) & k11_ordinal2(B,2) = k10_ordinal2(B,C) ) => ? [D] : ( v7_ordinal1(D) & k11_ordinal2(k1_ordinal1(B),2) = k10_ordinal2(k1_ordinal1(B),D) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,B) => ? [F] : ( v7_ordinal1(F) & k11_ordinal2(E,2) = k10_ordinal2(E,F) ) ) ) ) => ( B = k5_ordinal1 | ? [G] : ( v7_ordinal1(G) & k11_ordinal2(B,2) = k10_ordinal2(B,G) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ? [H] : ( v7_ordinal1(H) & k11_ordinal2(B,2) = k10_ordinal2(B,H) ) ) )).
fof(s1_ordinal2__e5_76__ordinal2,axiom,( ( k12_ordinal2(1,k5_ordinal1) = 1 & ! [A] : ( v3_ordinal1(A) => ( k12_ordinal2(1,A) = 1 => k12_ordinal2(1,k1_ordinal1(A)) = 1 ) ) & ! [A] : ( v3_ordinal1(A) => ( ( v4_ordinal1(A) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => k12_ordinal2(1,B) = 1 ) ) ) => ( A = k5_ordinal1 | k12_ordinal2(1,A) = 1 ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k12_ordinal2(1,A) = 1 ) )).
fof(s1_ordinal2__e6_107__ordinal6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( ( ( r2_tarski(k5_ordinal1,A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(B,k5_ordinal1) & r2_tarski(C,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),k5_ordinal1))) ) => r1_abian(k1_funct_1(k1_funct_1(k11_ordinal6(A),k5_ordinal1),C),k1_funct_1(k11_ordinal6(A),B)) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,A) => ! [E] : ( v3_ordinal1(E) => ! [F] : ( v3_ordinal1(F) => ( ( r2_tarski(E,D) & r2_tarski(F,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),D))) ) => r1_abian(k1_funct_1(k1_funct_1(k11_ordinal6(A),D),F),k1_funct_1(k11_ordinal6(A),E)) ) ) ) ) => ( r2_tarski(k1_ordinal1(D),A) => ! [G] : ( v3_ordinal1(G) => ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(G,k1_ordinal1(D)) & r2_tarski(H,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),k1_ordinal1(D)))) ) => r1_abian(k1_funct_1(k1_funct_1(k11_ordinal6(A),k1_ordinal1(D)),H),k1_funct_1(k11_ordinal6(A),G)) ) ) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [I] : ( v3_ordinal1(I) => ( r2_tarski(I,D) => ( r2_tarski(I,A) => ! [J] : ( v3_ordinal1(J) => ! [K] : ( v3_ordinal1(K) => ( ( r2_tarski(J,I) & r2_tarski(K,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),I))) ) => r1_abian(k1_funct_1(k1_funct_1(k11_ordinal6(A),I),K),k1_funct_1(k11_ordinal6(A),J)) ) ) ) ) ) ) ) => ( D = k5_ordinal1 | ( r2_tarski(D,A) => ! [L] : ( v3_ordinal1(L) => ! [M] : ( v3_ordinal1(M) => ( ( r2_tarski(L,D) & r2_tarski(M,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),D))) ) => r1_abian(k1_funct_1(k1_funct_1(k11_ordinal6(A),D),M),k1_funct_1(k11_ordinal6(A),L)) ) ) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => ! [N] : ( v3_ordinal1(N) => ! [O] : ( v3_ordinal1(O) => ( ( r2_tarski(N,D) & r2_tarski(O,k9_xtuple_0(k1_funct_1(k11_ordinal6(A),D))) ) => r1_abian(k1_funct_1(k1_funct_1(k11_ordinal6(A),D),O),k1_funct_1(k11_ordinal6(A),N)) ) ) ) ) ) ) ) )).
fof(s1_ordinal2__e6_24_1__zfrefle1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v3_ordinal1(C) ) => ( ( ( r2_tarski(k10_ordinal2(C,k5_ordinal1),k9_xtuple_0(k5_relat_1(B,k4_ordinal1))) => ( k5_ordinal1 = k1_xboole_0 | r2_tarski(k1_funct_1(k5_relat_1(B,k4_ordinal1),C),k1_funct_1(k5_relat_1(B,k4_ordinal1),k10_ordinal2(C,k5_ordinal1))) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(k10_ordinal2(C,D),k9_xtuple_0(k5_relat_1(B,k4_ordinal1))) => ( D = k1_xboole_0 | r2_tarski(k1_funct_1(k5_relat_1(B,k4_ordinal1),C),k1_funct_1(k5_relat_1(B,k4_ordinal1),k10_ordinal2(C,D))) ) ) => ( r2_tarski(k10_ordinal2(C,k1_ordinal1(D)),k9_xtuple_0(k5_relat_1(B,k4_ordinal1))) => ( k1_ordinal1(D) = k1_xboole_0 | r2_tarski(k1_funct_1(k5_relat_1(B,k4_ordinal1),C),k1_funct_1(k5_relat_1(B,k4_ordinal1),k10_ordinal2(C,k1_ordinal1(D)))) ) ) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => ( r2_tarski(k10_ordinal2(C,E),k9_xtuple_0(k5_relat_1(B,k4_ordinal1))) => ( E = k1_xboole_0 | r2_tarski(k1_funct_1(k5_relat_1(B,k4_ordinal1),C),k1_funct_1(k5_relat_1(B,k4_ordinal1),k10_ordinal2(C,E))) ) ) ) ) ) => ( D = k5_ordinal1 | ( r2_tarski(k10_ordinal2(C,D),k9_xtuple_0(k5_relat_1(B,k4_ordinal1))) => ( D = k1_xboole_0 | r2_tarski(k1_funct_1(k5_relat_1(B,k4_ordinal1),C),k1_funct_1(k5_relat_1(B,k4_ordinal1),k10_ordinal2(C,D))) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k10_ordinal2(C,D),k9_xtuple_0(k5_relat_1(B,k4_ordinal1))) => ( D = k1_xboole_0 | r2_tarski(k1_funct_1(k5_relat_1(B,k4_ordinal1),C),k1_funct_1(k5_relat_1(B,k4_ordinal1),k10_ordinal2(C,D))) ) ) ) ) ) )).
fof(s1_ordinal2__e6_34__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( ( r1_ordinal1(D,E) & r1_ordinal1(E,k5_ordinal1) ) => r3_lattices(A,k5_knaster(A,B,C,D),k5_knaster(A,B,C,E)) ) ) ) & ! [F] : ( v3_ordinal1(F) => ( ! [G] : ( v3_ordinal1(G) => ! [H] : ( v3_ordinal1(H) => ( ( r1_ordinal1(G,H) & r1_ordinal1(H,F) ) => r3_lattices(A,k5_knaster(A,B,C,G),k5_knaster(A,B,C,H)) ) ) ) => ! [I] : ( v3_ordinal1(I) => ! [J] : ( v3_ordinal1(J) => ( ( r1_ordinal1(I,J) & r1_ordinal1(J,k1_ordinal1(F)) ) => r3_lattices(A,k5_knaster(A,B,C,I),k5_knaster(A,B,C,J)) ) ) ) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( v4_ordinal1(F) & ! [K] : ( v3_ordinal1(K) => ( r2_tarski(K,F) => ! [L] : ( v3_ordinal1(L) => ! [M] : ( v3_ordinal1(M) => ( ( r1_ordinal1(L,M) & r1_ordinal1(M,K) ) => r3_lattices(A,k5_knaster(A,B,C,L),k5_knaster(A,B,C,M)) ) ) ) ) ) ) => ( F = k5_ordinal1 | ! [N] : ( v3_ordinal1(N) => ! [O] : ( v3_ordinal1(O) => ( ( r1_ordinal1(N,O) & r1_ordinal1(O,F) ) => r3_lattices(A,k5_knaster(A,B,C,N),k5_knaster(A,B,C,O)) ) ) ) ) ) ) ) => ! [F] : ( v3_ordinal1(F) => ! [P] : ( v3_ordinal1(P) => ! [Q] : ( v3_ordinal1(Q) => ( ( r1_ordinal1(P,Q) & r1_ordinal1(Q,F) ) => r3_lattices(A,k5_knaster(A,B,C,P),k5_knaster(A,B,C,Q)) ) ) ) ) ) ) )).
fof(s1_ordinal2__e6_35__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( ( r1_ordinal1(D,E) & r1_ordinal1(E,k5_ordinal1) ) => r3_lattices(A,k6_knaster(A,B,C,E),k6_knaster(A,B,C,D)) ) ) ) & ! [F] : ( v3_ordinal1(F) => ( ! [G] : ( v3_ordinal1(G) => ! [H] : ( v3_ordinal1(H) => ( ( r1_ordinal1(G,H) & r1_ordinal1(H,F) ) => r3_lattices(A,k6_knaster(A,B,C,H),k6_knaster(A,B,C,G)) ) ) ) => ! [I] : ( v3_ordinal1(I) => ! [J] : ( v3_ordinal1(J) => ( ( r1_ordinal1(I,J) & r1_ordinal1(J,k1_ordinal1(F)) ) => r3_lattices(A,k6_knaster(A,B,C,J),k6_knaster(A,B,C,I)) ) ) ) ) ) & ! [F] : ( v3_ordinal1(F) => ( ( v4_ordinal1(F) & ! [K] : ( v3_ordinal1(K) => ( r2_tarski(K,F) => ! [L] : ( v3_ordinal1(L) => ! [M] : ( v3_ordinal1(M) => ( ( r1_ordinal1(L,M) & r1_ordinal1(M,K) ) => r3_lattices(A,k6_knaster(A,B,C,M),k6_knaster(A,B,C,L)) ) ) ) ) ) ) => ( F = k5_ordinal1 | ! [N] : ( v3_ordinal1(N) => ! [O] : ( v3_ordinal1(O) => ( ( r1_ordinal1(N,O) & r1_ordinal1(O,F) ) => r3_lattices(A,k6_knaster(A,B,C,O),k6_knaster(A,B,C,N)) ) ) ) ) ) ) ) => ! [F] : ( v3_ordinal1(F) => ! [P] : ( v3_ordinal1(P) => ! [Q] : ( v3_ordinal1(Q) => ( ( r1_ordinal1(P,Q) & r1_ordinal1(Q,F) ) => r3_lattices(A,k6_knaster(A,B,C,Q),k6_knaster(A,B,C,P)) ) ) ) ) ) ) )).
fof(s1_ordinal2__e6_36__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( r1_ordinal1(k12_ordinal2(A,k5_ordinal1),k12_ordinal2(B,k5_ordinal1)) & ! [C] : ( v3_ordinal1(C) => ( r1_ordinal1(k12_ordinal2(A,C),k12_ordinal2(B,C)) => r1_ordinal1(k12_ordinal2(A,k1_ordinal1(C)),k12_ordinal2(B,k1_ordinal1(C))) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => r1_ordinal1(k12_ordinal2(A,D),k12_ordinal2(B,D)) ) ) ) => ( C = k5_ordinal1 | r1_ordinal1(k12_ordinal2(A,C),k12_ordinal2(B,C)) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => r1_ordinal1(k12_ordinal2(A,C),k12_ordinal2(B,C)) ) ) ) )).
fof(s1_ordinal2__e6_38__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v14_quantal1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( ( ( r1_ordinal1(A,k5_ordinal1) => k5_knaster(B,C,D,A) = k5_knaster(B,C,D,k5_ordinal1) ) & ! [E] : ( v3_ordinal1(E) => ( ( r1_ordinal1(A,E) => k5_knaster(B,C,D,A) = k5_knaster(B,C,D,E) ) => ( r1_ordinal1(A,k1_ordinal1(E)) => k5_knaster(B,C,D,A) = k5_knaster(B,C,D,k1_ordinal1(E)) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => ( r1_ordinal1(A,F) => k5_knaster(B,C,D,A) = k5_knaster(B,C,D,F) ) ) ) ) => ( E = k5_ordinal1 | ( r1_ordinal1(A,E) => k5_knaster(B,C,D,A) = k5_knaster(B,C,D,E) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => ( r1_ordinal1(A,E) => k5_knaster(B,C,D,A) = k5_knaster(B,C,D,E) ) ) ) ) )).
fof(s1_ordinal2__e6_38__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( k12_ordinal2(B,k10_ordinal2(A,k5_ordinal1)) = k11_ordinal2(k12_ordinal2(B,k5_ordinal1),k12_ordinal2(B,A)) & ! [C] : ( v3_ordinal1(C) => ( k12_ordinal2(B,k10_ordinal2(A,C)) = k11_ordinal2(k12_ordinal2(B,C),k12_ordinal2(B,A)) => k12_ordinal2(B,k10_ordinal2(A,k1_ordinal1(C))) = k11_ordinal2(k12_ordinal2(B,k1_ordinal1(C)),k12_ordinal2(B,A)) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => k12_ordinal2(B,k10_ordinal2(A,D)) = k11_ordinal2(k12_ordinal2(B,D),k12_ordinal2(B,A)) ) ) ) => ( C = k5_ordinal1 | k12_ordinal2(B,k10_ordinal2(A,C)) = k11_ordinal2(k12_ordinal2(B,C),k12_ordinal2(B,A)) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => k12_ordinal2(B,k10_ordinal2(A,C)) = k11_ordinal2(k12_ordinal2(B,C),k12_ordinal2(B,A)) ) ) ) )).
fof(s1_ordinal2__e6_39__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v14_quantal1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( ( ( r1_ordinal1(A,k5_ordinal1) => k6_knaster(B,C,D,A) = k6_knaster(B,C,D,k5_ordinal1) ) & ! [E] : ( v3_ordinal1(E) => ( ( r1_ordinal1(A,E) => k6_knaster(B,C,D,A) = k6_knaster(B,C,D,E) ) => ( r1_ordinal1(A,k1_ordinal1(E)) => k6_knaster(B,C,D,A) = k6_knaster(B,C,D,k1_ordinal1(E)) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => ( r1_ordinal1(A,F) => k6_knaster(B,C,D,A) = k6_knaster(B,C,D,F) ) ) ) ) => ( E = k5_ordinal1 | ( r1_ordinal1(A,E) => k6_knaster(B,C,D,A) = k6_knaster(B,C,D,E) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => ( r1_ordinal1(A,E) => k6_knaster(B,C,D,A) = k6_knaster(B,C,D,E) ) ) ) ) )).
fof(s1_ordinal2__e6_39__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( k12_ordinal2(k12_ordinal2(B,A),k5_ordinal1) = k12_ordinal2(B,k11_ordinal2(k5_ordinal1,A)) & ! [C] : ( v3_ordinal1(C) => ( k12_ordinal2(k12_ordinal2(B,A),C) = k12_ordinal2(B,k11_ordinal2(C,A)) => k12_ordinal2(k12_ordinal2(B,A),k1_ordinal1(C)) = k12_ordinal2(B,k11_ordinal2(k1_ordinal1(C),A)) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => k12_ordinal2(k12_ordinal2(B,A),D) = k12_ordinal2(B,k11_ordinal2(D,A)) ) ) ) => ( C = k5_ordinal1 | k12_ordinal2(k12_ordinal2(B,A),C) = k12_ordinal2(B,k11_ordinal2(C,A)) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => k12_ordinal2(k12_ordinal2(B,A),C) = k12_ordinal2(B,k11_ordinal2(C,A)) ) ) ) )).
fof(s1_ordinal2__e6_49__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( k11_ordinal2(k11_ordinal2(k5_ordinal1,A),B) = k11_ordinal2(k5_ordinal1,k11_ordinal2(A,B)) & ! [C] : ( v3_ordinal1(C) => ( k11_ordinal2(k11_ordinal2(C,A),B) = k11_ordinal2(C,k11_ordinal2(A,B)) => k11_ordinal2(k11_ordinal2(k1_ordinal1(C),A),B) = k11_ordinal2(k1_ordinal1(C),k11_ordinal2(A,B)) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => k11_ordinal2(k11_ordinal2(D,A),B) = k11_ordinal2(D,k11_ordinal2(A,B)) ) ) ) => ( C = k5_ordinal1 | k11_ordinal2(k11_ordinal2(C,A),B) = k11_ordinal2(C,k11_ordinal2(A,B)) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => k11_ordinal2(k11_ordinal2(C,A),B) = k11_ordinal2(C,k11_ordinal2(A,B)) ) ) ) )).
fof(s1_ordinal2__e6_54_5__ordinal4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) & v3_ordinal1(B) ) => ( ( ( r2_tarski(k10_ordinal2(B,k5_ordinal1),k4_ordinal1) => ( k5_ordinal1 = k1_xboole_0 | r2_tarski(k1_funct_1(A,B),k1_funct_1(A,k10_ordinal2(B,k5_ordinal1))) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(k10_ordinal2(B,C),k4_ordinal1) => ( C = k1_xboole_0 | r2_tarski(k1_funct_1(A,B),k1_funct_1(A,k10_ordinal2(B,C))) ) ) => ( r2_tarski(k10_ordinal2(B,k1_ordinal1(C)),k4_ordinal1) => ( k1_ordinal1(C) = k1_xboole_0 | r2_tarski(k1_funct_1(A,B),k1_funct_1(A,k10_ordinal2(B,k1_ordinal1(C)))) ) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(k10_ordinal2(B,D),k4_ordinal1) => ( D = k1_xboole_0 | r2_tarski(k1_funct_1(A,B),k1_funct_1(A,k10_ordinal2(B,D))) ) ) ) ) ) => ( C = k5_ordinal1 | ( r2_tarski(k10_ordinal2(B,C),k4_ordinal1) => ( C = k1_xboole_0 | r2_tarski(k1_funct_1(A,B),k1_funct_1(A,k10_ordinal2(B,C))) ) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(k10_ordinal2(B,C),k4_ordinal1) => ( C = k1_xboole_0 | r2_tarski(k1_funct_1(A,B),k1_funct_1(A,k10_ordinal2(B,C))) ) ) ) ) ) )).
fof(s1_ordinal2__e6_65__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( ( r1_ordinal1(k5_ordinal1,k7_lattice5(A,B,C)) => v3_lattice5(k12_lattice5(A,B,C,D,k5_ordinal1),k8_lattice5(A,k5_ordinal1),B) ) & ! [E] : ( v3_ordinal1(E) => ( ( r1_ordinal1(E,k7_lattice5(A,B,C)) => v3_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) ) => ( r1_ordinal1(k1_ordinal1(E),k7_lattice5(A,B,C)) => v3_lattice5(k12_lattice5(A,B,C,D,k1_ordinal1(E)),k8_lattice5(A,k1_ordinal1(E)),B) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => ( r1_ordinal1(F,k7_lattice5(A,B,C)) => v3_lattice5(k12_lattice5(A,B,C,D,F),k8_lattice5(A,F),B) ) ) ) ) => ( E = k5_ordinal1 | ( r1_ordinal1(E,k7_lattice5(A,B,C)) => v3_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => ( r1_ordinal1(E,k7_lattice5(A,B,C)) => v3_lattice5(k12_lattice5(A,B,C,D,E),k8_lattice5(A,E),B) ) ) ) ) )).
fof(s1_ordinal2__e6_73__ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( ( ( r2_tarski(k5_ordinal1,k9_xtuple_0(k3_ordinal6(A))) => r1_ordinal1(k1_funct_1(A,k5_ordinal1),k1_funct_1(k3_ordinal6(A),k5_ordinal1)) ) & ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(B,k9_xtuple_0(k3_ordinal6(A))) => r1_ordinal1(k1_funct_1(A,B),k1_funct_1(k3_ordinal6(A),B)) ) => ( r2_tarski(k1_ordinal1(B),k9_xtuple_0(k3_ordinal6(A))) => r1_ordinal1(k1_funct_1(A,k1_ordinal1(B)),k1_funct_1(k3_ordinal6(A),k1_ordinal1(B))) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ( r2_tarski(C,k9_xtuple_0(k3_ordinal6(A))) => r1_ordinal1(k1_funct_1(A,C),k1_funct_1(k3_ordinal6(A),C)) ) ) ) ) => ( B = k5_ordinal1 | ( r2_tarski(B,k9_xtuple_0(k3_ordinal6(A))) => r1_ordinal1(k1_funct_1(A,B),k1_funct_1(k3_ordinal6(A),B)) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k9_xtuple_0(k3_ordinal6(A))) => r1_ordinal1(k1_funct_1(A,B),k1_funct_1(k3_ordinal6(A),B)) ) ) ) ) )).
fof(s1_ordinal2__e7_39__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ( ( r1_ordinal1(k5_ordinal1,k7_lattice5(A,B,C)) => v3_lattice5(k6_lattice8(A,B,C,D,k5_ordinal1),k3_lattice8(A,k5_ordinal1),B) ) & ! [E] : ( v3_ordinal1(E) => ( ( r1_ordinal1(E,k7_lattice5(A,B,C)) => v3_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) => ( r1_ordinal1(k1_ordinal1(E),k7_lattice5(A,B,C)) => v3_lattice5(k6_lattice8(A,B,C,D,k1_ordinal1(E)),k3_lattice8(A,k1_ordinal1(E)),B) ) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => ( r1_ordinal1(F,k7_lattice5(A,B,C)) => v3_lattice5(k6_lattice8(A,B,C,D,F),k3_lattice8(A,F),B) ) ) ) ) => ( E = k5_ordinal1 | ( r1_ordinal1(E,k7_lattice5(A,B,C)) => v3_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => ( r1_ordinal1(E,k7_lattice5(A,B,C)) => v3_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) ) ) ) )).
fof(s1_ordinal2__e7_43__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( k1_ordinal5(A,k10_ordinal2(k4_ordinal1,k5_ordinal1)) = k1_ordinal5(A,k4_ordinal1) & ! [B] : ( v3_ordinal1(B) => ( k1_ordinal5(A,k10_ordinal2(k4_ordinal1,B)) = k1_ordinal5(A,k4_ordinal1) => k1_ordinal5(A,k10_ordinal2(k4_ordinal1,k1_ordinal1(B))) = k1_ordinal5(A,k4_ordinal1) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => k1_ordinal5(A,k10_ordinal2(k4_ordinal1,C)) = k1_ordinal5(A,k4_ordinal1) ) ) ) => ( B = k5_ordinal1 | k1_ordinal5(A,k10_ordinal2(k4_ordinal1,B)) = k1_ordinal5(A,k4_ordinal1) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k1_ordinal5(A,k10_ordinal2(k4_ordinal1,B)) = k1_ordinal5(A,k4_ordinal1) ) ) ) )).
fof(s1_ordinal2__e7_45__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( r3_lattices(A,k5_knaster(A,B,C,k5_ordinal1),D) & ! [E] : ( v3_ordinal1(E) => ( r3_lattices(A,k5_knaster(A,B,C,E),D) => r3_lattices(A,k5_knaster(A,B,C,k1_ordinal1(E)),D) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => r3_lattices(A,k5_knaster(A,B,C,F),D) ) ) ) => ( E = k5_ordinal1 | r3_lattices(A,k5_knaster(A,B,C,E),D) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => r3_lattices(A,k5_knaster(A,B,C,E),D) ) ) ) )).
fof(s1_ordinal2__e7_46__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( r3_lattices(A,D,k6_knaster(A,B,C,k5_ordinal1)) & ! [E] : ( v3_ordinal1(E) => ( r3_lattices(A,D,k6_knaster(A,B,C,E)) => r3_lattices(A,D,k6_knaster(A,B,C,k1_ordinal1(E))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( v4_ordinal1(E) & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,E) => r3_lattices(A,D,k6_knaster(A,B,C,F)) ) ) ) => ( E = k5_ordinal1 | r3_lattices(A,D,k6_knaster(A,B,C,E)) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => r3_lattices(A,D,k6_knaster(A,B,C,E)) ) ) ) )).
fof(s1_ordinal2__e7_47__card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ( ( ( r2_tarski(k5_ordinal1,A) => r2_tarski(k1_card_1(k4_classes1(k5_ordinal1)),A) ) & ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(B,A) => r2_tarski(k1_card_1(k4_classes1(B)),A) ) => ( r2_tarski(k1_ordinal1(B),A) => r2_tarski(k1_card_1(k4_classes1(k1_ordinal1(B))),A) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ( r2_tarski(C,A) => r2_tarski(k1_card_1(k4_classes1(C)),A) ) ) ) ) => ( B = k5_ordinal1 | ( r2_tarski(B,A) => r2_tarski(k1_card_1(k4_classes1(B)),A) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => r2_tarski(k1_card_1(k4_classes1(B)),A) ) ) ) ) )).
fof(s1_ordinal2__e7_56__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r3_lattices(A,k5_knaster(A,B,k5_lattices(A),k5_ordinal1),C) & ! [D] : ( v3_ordinal1(D) => ( r3_lattices(A,k5_knaster(A,B,k5_lattices(A),D),C) => r3_lattices(A,k5_knaster(A,B,k5_lattices(A),k1_ordinal1(D)),C) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => r3_lattices(A,k5_knaster(A,B,k5_lattices(A),E),C) ) ) ) => ( D = k5_ordinal1 | r3_lattices(A,k5_knaster(A,B,k5_lattices(A),D),C) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => r3_lattices(A,k5_knaster(A,B,k5_lattices(A),D),C) ) ) ) )).
fof(s1_ordinal2__e8_44__exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ( ( v1_finset_1(k1_funct_1(A,k5_ordinal1)) & ! [B] : ( v3_ordinal1(B) => ( v1_finset_1(k1_funct_1(A,B)) => v1_finset_1(k1_funct_1(A,k1_ordinal1(B))) ) ) & ! [B] : ( v3_ordinal1(B) => ( ( v4_ordinal1(B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => v1_finset_1(k1_funct_1(A,C)) ) ) ) => ( B = k5_ordinal1 | v1_finset_1(k1_funct_1(A,B)) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => v1_finset_1(k1_funct_1(A,B)) ) ) ) )).
fof(s1_ordinal2__e9_115__ordinal6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v1_xboole_0(B) & v1_classes2(B) ) => ( ( ( r2_tarski(k5_ordinal1,A) => r1_tarski(k1_funct_1(k11_ordinal6(A),k5_ordinal1),k1_funct_1(k11_ordinal6(B),k5_ordinal1)) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,A) => r1_tarski(k1_funct_1(k11_ordinal6(A),C),k1_funct_1(k11_ordinal6(B),C)) ) => ( r2_tarski(k1_ordinal1(C),A) => r1_tarski(k1_funct_1(k11_ordinal6(A),k1_ordinal1(C)),k1_funct_1(k11_ordinal6(B),k1_ordinal1(C))) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(D,A) => r1_tarski(k1_funct_1(k11_ordinal6(A),D),k1_funct_1(k11_ordinal6(B),D)) ) ) ) ) => ( C = k5_ordinal1 | ( r2_tarski(C,A) => r1_tarski(k1_funct_1(k11_ordinal6(A),C),k1_funct_1(k11_ordinal6(B),C)) ) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => r1_tarski(k1_funct_1(k11_ordinal6(A),C),k1_funct_1(k11_ordinal6(B),C)) ) ) ) ) )).
fof(s1_ordinal5__e10_52__ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(B,C) => r2_tarski(k12_ordinal2(k4_ordinal1,B),k12_ordinal2(k4_ordinal1,C)) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( v4_ordinal1(B) => ( v1_xboole_0(B) | ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) ) => ( ( k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(k4_ordinal1,D) ) ) ) => r1_ordinal2(k12_ordinal2(k4_ordinal1,B),C) ) ) ) ) ) & k9_xtuple_0(A) = k4_ordinal1 & k1_funct_1(A,k5_numbers) = 1 & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k4_ordinal1) => k1_funct_1(A,k1_ordinal1(B)) = k12_ordinal2(k4_ordinal1,k1_funct_1(A,B)) ) ) ) => ( r1_ordinal1(1,k3_card_3(A)) & k12_ordinal2(k4_ordinal1,k3_card_3(A)) = k3_card_3(A) & ! [B] : ( v3_ordinal1(B) => ( ( r1_ordinal1(1,B) & k12_ordinal2(k4_ordinal1,B) = B ) => r1_ordinal1(k3_card_3(A),B) ) ) ) ) ) )).
fof(s1_ordinal5__e10_57__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v4_ordinal5(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(C,D) => r2_tarski(k12_ordinal2(k4_ordinal1,C),k12_ordinal2(k4_ordinal1,D)) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( v4_ordinal1(C) => ( v1_xboole_0(C) | ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_ordinal2(D) ) => ( ( k9_xtuple_0(D) = C & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k12_ordinal2(k4_ordinal1,E) ) ) ) => r1_ordinal2(k12_ordinal2(k4_ordinal1,C),D) ) ) ) ) ) & k9_xtuple_0(B) = k4_ordinal1 & k1_funct_1(B,k5_numbers) = k1_ordinal1(A) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k4_ordinal1) => k1_funct_1(B,k1_ordinal1(C)) = k12_ordinal2(k4_ordinal1,k1_funct_1(B,C)) ) ) ) => ( r1_ordinal1(k1_ordinal1(A),k3_card_3(B)) & k12_ordinal2(k4_ordinal1,k3_card_3(B)) = k3_card_3(B) & ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(k1_ordinal1(A),C) & k12_ordinal2(k4_ordinal1,C) = C ) => r1_ordinal1(k3_card_3(B),C) ) ) ) ) ) )).
fof(s1_partfun1__e11_42_1__card_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) & v1_relat_1(C) & v1_funct_1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k9_xtuple_0(B) & ! [F] : ( r2_hidden(F,k9_xtuple_0(B)) => ( ( r2_hidden(F,k9_xtuple_0(A)) => k1_funct_1(E,F) = k1_funct_1(C,F) ) & ( ~ r2_hidden(F,k9_xtuple_0(A)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s1_partfun1__e14_38__integra6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_numbers & ! [G] : ( r2_hidden(G,k1_numbers) => ( ( r2_tarski(k2_xcmplx_0(C,k10_subset_1(G,k1_numbers)),k2_rcomp_1(A,B)) => k1_funct_1(F,G) = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(D,k2_xcmplx_0(C,k10_subset_1(G,k1_numbers))),k1_funct_1(D,C)),k1_funct_1(E,k10_subset_1(G,k1_numbers))) ) & ( ~ r2_tarski(k2_xcmplx_0(C,k10_subset_1(G,k1_numbers)),k2_rcomp_1(A,B)) => k1_funct_1(F,G) = k5_numbers ) ) ) ) ) )).
fof(s1_partfun1__e14_67__integr19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(D))))) & v1_funct_1(F) & v1_funct_2(F,k1_numbers,u1_struct_0(k4_real_ns1(D))) & v2_ndiff_3(F,k4_real_ns1(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(D))))) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = k1_numbers & ! [H] : ( r2_hidden(H,k1_numbers) => ( ( r2_tarski(k2_xcmplx_0(C,k10_subset_1(H,k1_numbers)),k2_rcomp_1(A,B)) => k1_funct_1(G,H) = k5_algstr_0(k4_real_ns1(D),k5_algstr_0(k4_real_ns1(D),k7_partfun1(u1_struct_0(k4_real_ns1(D)),E,k2_xcmplx_0(C,k10_subset_1(H,k1_numbers))),k7_partfun1(u1_struct_0(k4_real_ns1(D)),E,C)),k3_funct_2(k1_numbers,u1_struct_0(k4_real_ns1(D)),F,k10_subset_1(H,k1_numbers))) ) & ( ~ r2_tarski(k2_xcmplx_0(C,k10_subset_1(H,k1_numbers)),k2_rcomp_1(A,B)) => k1_funct_1(G,H) = k4_struct_0(k4_real_ns1(D)) ) ) ) ) ) )).
fof(s1_partfun1__e16_45_2__funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k9_xtuple_0(A) & ! [F] : ( r2_hidden(F,k9_xtuple_0(A)) => ( ( F = C => k1_funct_1(E,F) = D ) & ( F != C => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) ) ) )).
fof(s1_partfun1__e1_21__msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,A) & v1_partfun1(D,k1_funct_1(B,C)) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,C),k1_funct_1(B,C)))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = A & ! [F] : ( r2_hidden(F,A) => ( ( F = C => k1_funct_1(E,F) = D ) & ( F != C => k1_funct_1(E,F) = k1_eqrel_1(k1_funct_1(B,F)) ) ) ) ) ) )).
fof(s1_partfun1__e1_30_2_1__classes1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_tarski(k1_xboole_0,k1_tarski(A)) & ! [D] : ( r2_hidden(D,k2_tarski(k1_xboole_0,k1_tarski(A))) => ( ( D = k1_xboole_0 => k1_funct_1(C,D) = A ) & ( D != k1_xboole_0 => k1_funct_1(C,D) = B ) ) ) ) )).
fof(s1_partfun1__e1_4__matrprob,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k2_finseq_1(C) & ! [G] : ( r2_hidden(G,k2_finseq_1(C)) => ( ( r2_hidden(G,k2_finseq_1(B)) => k1_funct_1(F,G) = D ) & ( ~ r2_hidden(G,k2_finseq_1(B)) => k1_funct_1(F,G) = E ) ) ) ) ) )).
fof(s1_partfun1__e1_51__prob_3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( r2_hidden(D,k4_ordinal1) => ( ( r2_hidden(D,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) & ( ~ r2_hidden(D,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(C,D) = k1_xboole_0 ) ) ) ) ) )).
fof(s1_partfun1__e27_22__zfmodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k1_zf_lang & ! [F] : ( r2_hidden(F,k1_zf_lang) => ( ( r2_hidden(F,k2_zf_model(C)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k2_zf_model(C)) => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) ) ) )).
fof(s1_partfun1__e2_45_1_1__card_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_relat_1(C) & v1_funct_1(C) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = A & ! [F] : ( r2_hidden(F,A) => ( ( r2_tarski(k1_funct_1(C,F),k1_funct_1(B,D)) => k1_funct_1(E,F) = k1_funct_1(C,F) ) & ( ~ r2_tarski(k1_funct_1(C,F),k1_funct_1(B,D)) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) )).
fof(s1_partfun1__e2_48_2__card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k9_xtuple_0(A) & ! [E] : ( r2_hidden(E,k9_xtuple_0(A)) => ( ( E = k2_xtuple_0(C) => k1_funct_1(D,E) = k1_xtuple_0(C) ) & ( E != k2_xtuple_0(C) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) ) ) )).
fof(s1_partfun1__e31_30_1_5__zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,k4_zf_refle(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k4_zf_refle(A,B)))) & v3_ordinal1(E) & m1_subset_1(E,A) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_zf_lang & ! [G] : ( r2_hidden(G,k1_zf_lang) => ( ( r2_hidden(G,k2_zf_model(k5_zf_lang(k23_zf_lang(C)))) => k1_funct_1(F,G) = k1_funct_1(D,G) ) & ( ~ r2_hidden(G,k2_zf_model(k5_zf_lang(k23_zf_lang(C)))) => k1_funct_1(F,G) = o_3_0_zf_refle(A,B,E) ) ) ) ) ) )).
fof(s1_partfun1__e49_25__kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(A)) & v1_funct_1(E) & v1_funct_2(E,D,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,B))) & v1_funct_1(F) & v1_funct_2(F,C,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = k1_finsub_1(k1_zfmisc_1(A),C,D) & ! [H] : ( r2_hidden(H,k1_finsub_1(k1_zfmisc_1(A),C,D)) => ( ( r2_hidden(H,C) => k1_funct_1(G,H) = k1_funct_1(F,H) ) & ( ~ r2_hidden(H,C) => k1_funct_1(G,H) = k1_funct_1(E,H) ) ) ) ) ) )).
fof(s1_partfun1__e4_101__card_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => ( ( r2_hidden(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) & ( ~ r2_hidden(D,k9_xtuple_0(B)) => k1_funct_1(C,D) = D ) ) ) ) ) )).
fof(s1_partfun1__e4_67_1__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_tarski(A,B) & ! [E] : ( r2_hidden(E,k2_tarski(A,B)) => ( ( E = A => k1_funct_1(D,E) = k1_xtuple_0(C) ) & ( E != A => k1_funct_1(D,E) = k2_xtuple_0(C) ) ) ) ) )).
fof(s1_partfun1__e5_45_2__funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k9_xtuple_0(A) & ! [F] : ( r2_hidden(F,k9_xtuple_0(A)) => ( ( F = C => k1_funct_1(E,F) = D ) & ( F != C => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) ) ) )).
fof(s1_partfun1__e5_66_1__funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = A & ! [F] : ( r2_hidden(F,A) => ( ( r2_hidden(F,D) => k1_funct_1(E,F) = B ) & ( ~ r2_hidden(F,D) => k1_funct_1(E,F) = C ) ) ) ) )).
fof(s1_partfun1__e6_20_2__card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k9_xtuple_0(B) & ! [E] : ( r2_hidden(E,k9_xtuple_0(B)) => ( ( A = E => k1_funct_1(D,E) = C ) & ( A != E => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) ) ) )).
fof(s1_partfun1__e6_57_1__funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(A)) => ( ( k1_funct_1(A,D) = k1_xboole_0 => k1_funct_1(C,D) = k1_xboole_0 ) & ( k1_funct_1(A,D) != k1_xboole_0 => k1_funct_1(C,D) = k1_funct_1(k3_funct_5(B),D) ) ) ) ) ) )).
fof(s1_partfun1__e8_18_1_1__ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & v3_lopban_1(D) & l1_normsp_1(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,k1_numbers,u1_struct_0(D)) & v2_ndiff_3(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(D)))) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = k1_numbers & ! [H] : ( r2_hidden(H,k1_numbers) => ( ( r2_tarski(k2_xcmplx_0(C,k10_subset_1(H,k1_numbers)),k2_rcomp_1(A,B)) => k1_funct_1(G,H) = k5_algstr_0(D,k5_algstr_0(D,k7_partfun1(u1_struct_0(D),E,k2_xcmplx_0(C,k10_subset_1(H,k1_numbers))),k7_partfun1(u1_struct_0(D),E,C)),k3_funct_2(k1_numbers,u1_struct_0(D),F,k10_subset_1(H,k1_numbers))) ) & ( ~ r2_tarski(k2_xcmplx_0(C,k10_subset_1(H,k1_numbers)),k2_rcomp_1(A,B)) => k1_funct_1(G,H) = k4_struct_0(D) ) ) ) ) ) )).
fof(s1_partfun1__e8_5__classes2,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_tarski(k1_xboole_0,k1_tarski(A)) & ! [D] : ( r2_hidden(D,k2_tarski(k1_xboole_0,k1_tarski(A))) => ( ( D = k1_xboole_0 => k1_funct_1(C,D) = B ) & ( D != k1_xboole_0 => k1_funct_1(C,D) = A ) ) ) ) )).
fof(s1_partfun1__e9_69_1__monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k17_monoid_1(A))) & m1_subset_1(C,A) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = A & ! [E] : ( r2_hidden(E,A) => ( ( C = E => k1_funct_1(D,E) = k5_numbers ) & ( C != E => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) ) ) )).
fof(s1_partfun1__e9_6__pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_relat_1(D) & v1_funct_1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k9_xtuple_0(A) & ! [F] : ( r2_hidden(F,k9_xtuple_0(A)) => ( ( F = B => k1_funct_1(E,F) = C ) & ( F != B => k1_funct_1(E,F) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s1_pboole__e11_5__msscyc_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ! [C] : ~ ( r2_hidden(C,u1_struct_0(A)) & k1_funct_1(B,C) = k1_xboole_0 ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & ! [D] : ( r2_hidden(D,u1_struct_0(A)) => r2_tarski(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_pboole__e2_131__pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,A) & k1_funct_1(B,C) = k1_xboole_0 ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => r2_tarski(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_pboole__e2_132__pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,A) & k1_funct_1(B,C) = k1_xboole_0 ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => r2_tarski(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_pboole__e3_19__pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,A) & k3_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)) = k1_xboole_0 ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( r2_hidden(E,A) => r2_tarski(k1_funct_1(D,E),k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))) ) ) ) ) )).
fof(s1_pboole__e4_129__pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,A) & k1_funct_1(B,C) = k1_xboole_0 ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => r2_tarski(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(s1_pcomps_1__e8_17_1_1__pcomps_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => r2_tarski(k2_pre_topc(A,C),k1_pcomps_1(A,B)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k1_pcomps_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_pcomps_1(A,B)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k2_pre_topc(A,D) ) ) ) ) ) )).
fof(s1_pcomps_2__e5_11_3__pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_relat_1(C) ) => ( ( r2_wellord1(C,B) & ? [E] : ( r2_tarski(E,B) & r2_hidden(D,E) ) ) => ? [E] : ( r2_tarski(E,B) & r2_hidden(D,E) & ! [F] : ( ( r2_tarski(F,B) & r2_hidden(D,F) ) => r2_hidden(k4_tarski(E,F),C) ) ) ) ) )).
fof(s1_pcomps_2__e5_24_3__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_relat_1(C) ) => ( ( r2_wellord1(C,B) & ? [E] : ( r2_tarski(E,B) & r2_hidden(D,E) ) ) => ? [E] : ( r2_tarski(E,B) & r2_hidden(D,E) & ! [F] : ( ( r2_tarski(F,B) & r2_hidden(D,F) ) => r2_hidden(k4_tarski(E,F),C) ) ) ) ) )).
fof(s1_pencil_2__e18_24__pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & m1_subset_1(C,A) & m1_subset_1(D,u1_struct_0(k2_pencil_1(A,B,C))) & m1_subset_1(E,u1_struct_0(k2_pencil_1(A,B,C))) & m2_finseq_1(F,u1_struct_0(k2_pencil_1(A,B,C))) ) => ( ( D = k1_funct_1(F,1) & E = k1_funct_1(F,k3_finseq_1(F)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ! [I] : ( ( r1_xxreal_0(1,G) & H = k1_funct_1(F,G) & I = k1_funct_1(F,k1_nat_1(G,1)) ) => ( r1_xxreal_0(k3_finseq_1(F),G) | ! [J] : ( m1_subset_1(J,u1_struct_0(k2_pencil_1(A,B,C))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k2_pencil_1(A,B,C))) => ( ( H = J & I = K ) => r1_pencil_1(k2_pencil_1(A,B,C),J,K) ) ) ) ) ) ) ) => ? [G] : ( v2_funct_1(G) & m2_finseq_1(G,u1_struct_0(k2_pencil_1(A,B,C))) & D = k1_funct_1(G,1) & E = k1_funct_1(G,k3_finseq_1(G)) & r1_tarski(k2_relset_1(u1_struct_0(k2_pencil_1(A,B,C)),G),k2_relset_1(u1_struct_0(k2_pencil_1(A,B,C)),F)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(G),H) | ! [L] : ( m1_subset_1(L,u1_struct_0(k2_pencil_1(A,B,C))) => ! [M] : ( m1_subset_1(M,u1_struct_0(k2_pencil_1(A,B,C))) => ( ( k1_funct_1(G,H) = L & k1_funct_1(G,k1_nat_1(H,1)) = M ) => r1_pencil_1(k2_pencil_1(A,B,C),L,M) ) ) ) ) ) ) ) ) ) )).
fof(s1_pencil_2__e7_13__pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( B = k1_funct_1(D,1) & C = k1_funct_1(D,k3_finseq_1(D)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ! [G] : ( ( r1_xxreal_0(1,E) & F = k1_funct_1(D,E) & G = k1_funct_1(D,k1_nat_1(E,1)) ) => ( r1_xxreal_0(k3_finseq_1(D),E) | r1_tarski(2,k1_card_1(k3_xboole_0(F,G))) ) ) ) ) => ? [E] : ( v2_funct_1(E) & m2_finseq_1(E,k1_zfmisc_1(u1_struct_0(A))) & B = k1_funct_1(E,1) & C = k1_funct_1(E,k3_finseq_1(E)) & r1_tarski(k2_relset_1(k1_zfmisc_1(u1_struct_0(A)),E),k2_relset_1(k1_zfmisc_1(u1_struct_0(A)),D)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | r1_tarski(2,k1_card_1(k3_xboole_0(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,1))))) ) ) ) ) ) ) )).
fof(s1_pre_circ__e10_12_3__waybel31,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => v1_finset_1(a_2_4_waybel31(A,B)) ) )).
fof(s1_pre_circ__e11_38__yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,u1_struct_0(A)) ) => v1_finset_1(a_3_0_yellow15(A,B,C)) ) )).
fof(s1_pre_circ__e21_24__yellow17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & m1_subset_1(C,A) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C))))) ) => v1_finset_1(a_4_3_yellow17(A,B,C,D)) ) )).
fof(s1_pre_circ__e25_48__euclid_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,u1_struct_0(k14_euclid(A))) & ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => v1_finset_1(a_4_0_euclid_9(A,B,C,D)) ) )).
fof(s1_pre_circ__e4_12__aofa_000,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => v1_finset_1(a_1_9_aofa_000(A)) ) )).
fof(s1_pre_circ__e4_23__waybel31,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) ) => v1_finset_1(a_2_6_waybel31(A,B)) ) )).
fof(s1_pre_circ__e5_48_1_2__dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => v1_finset_1(a_2_10_dickson(A,B)) ) )).
fof(s1_pre_circ__e7_45__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(C) & v1_finset_1(C) ) => v1_finset_1(a_3_0_dickson(A,B,C)) ) )).
fof(s1_pre_circ__e8_17_1_1__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m2_funct_2(D,k4_partfun1(A,B),k1_heyting1(A),k9_funct_2(k4_partfun1(A,B),k1_heyting1(A))) ) => v1_finset_1(a_4_2_heyting2(A,B,C,D)) ) )).
fof(s1_pre_poly__e6_77__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( ( ! [E] : ( ( v1_finset_1(E) & v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(E,C) & k4_card_1(E) = k4_card_1(C) & ! [F] : ( ( v1_finset_1(F) & v1_setfam_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(F,D) & k4_card_1(E) = k4_card_1(F) & k12_matrix_3(k4_card_1(E),A,k7_matrix13(u1_struct_0(A),B,E,F)) != k4_struct_0(A) ) ) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ! [H] : ( ( v1_finset_1(H) & v1_setfam_1(H) & m1_subset_1(H,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(H,C) & k4_card_1(H) = k1_nat_1(G,1) & ! [I] : ( ( v1_finset_1(I) & v1_setfam_1(I) & m1_subset_1(I,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(I,D) & k4_card_1(H) = k4_card_1(I) & k12_matrix_3(k4_card_1(H),A,k7_matrix13(u1_struct_0(A),B,H,I)) != k4_struct_0(A) ) ) ) ) => ( r1_xxreal_0(k4_card_1(C),G) | ! [J] : ( ( v1_finset_1(J) & v1_setfam_1(J) & m1_subset_1(J,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(J,C) & k4_card_1(J) = G & ! [K] : ( ( v1_finset_1(K) & v1_setfam_1(K) & m1_subset_1(K,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(K,D) & k4_card_1(J) = k4_card_1(K) & k12_matrix_3(k4_card_1(J),A,k7_matrix13(u1_struct_0(A),B,J,K)) != k4_struct_0(A) ) ) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(G,k4_card_1(C)) => ! [L] : ( ( v1_finset_1(L) & v1_setfam_1(L) & m1_subset_1(L,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(L,C) & k4_card_1(L) = G & ! [M] : ( ( v1_finset_1(M) & v1_setfam_1(M) & m1_subset_1(M,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(M,D) & k4_card_1(L) = k4_card_1(M) & k12_matrix_3(k4_card_1(L),A,k7_matrix13(u1_struct_0(A),B,L,M)) != k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(s1_pre_poly__e6_79__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( ( ! [E] : ( ( v1_finset_1(E) & v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(E,D) & k4_card_1(E) = k4_card_1(D) & ! [F] : ( ( v1_finset_1(F) & v1_setfam_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(F,C) & k4_card_1(F) = k4_card_1(E) & k12_matrix_3(k4_card_1(F),A,k7_matrix13(u1_struct_0(A),B,F,E)) != k4_struct_0(A) ) ) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ! [H] : ( ( v1_finset_1(H) & v1_setfam_1(H) & m1_subset_1(H,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(H,D) & k4_card_1(H) = k1_nat_1(G,1) & ! [I] : ( ( v1_finset_1(I) & v1_setfam_1(I) & m1_subset_1(I,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(I,C) & k4_card_1(I) = k4_card_1(H) & k12_matrix_3(k4_card_1(I),A,k7_matrix13(u1_struct_0(A),B,I,H)) != k4_struct_0(A) ) ) ) ) => ( r1_xxreal_0(k4_card_1(D),G) | ! [J] : ( ( v1_finset_1(J) & v1_setfam_1(J) & m1_subset_1(J,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(J,D) & k4_card_1(J) = G & ! [K] : ( ( v1_finset_1(K) & v1_setfam_1(K) & m1_subset_1(K,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(K,C) & k4_card_1(K) = k4_card_1(J) & k12_matrix_3(k4_card_1(K),A,k7_matrix13(u1_struct_0(A),B,K,J)) != k4_struct_0(A) ) ) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(G,k4_card_1(D)) => ! [L] : ( ( v1_finset_1(L) & v1_setfam_1(L) & m1_subset_1(L,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(L,D) & k4_card_1(L) = G & ! [M] : ( ( v1_finset_1(M) & v1_setfam_1(M) & m1_subset_1(M,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(M,C) & k4_card_1(M) = k4_card_1(L) & k12_matrix_3(k4_card_1(M),A,k7_matrix13(u1_struct_0(A),B,M,L)) != k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(s1_qc_lang1__e10_61__cqc_the3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) ) => r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,k10_qc_lang1(A,D,E),B)),k2_xboole_0(k24_qc_lang1(A,k10_qc_lang1(A,D,E)),k1_tarski(B))) ) ) ) & r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,k12_qc_lang1(A),B)),k2_xboole_0(k24_qc_lang1(A,k12_qc_lang1(A)),k1_tarski(B))) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,C,B)),k2_xboole_0(k24_qc_lang1(A,C),k1_tarski(B))) => r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,k13_qc_lang1(A,C),B)),k2_xboole_0(k24_qc_lang1(A,k13_qc_lang1(A,C)),k1_tarski(B))) ) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( ( r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,C,B)),k2_xboole_0(k24_qc_lang1(A,C),k1_tarski(B))) & r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,D,B)),k2_xboole_0(k24_qc_lang1(A,D),k1_tarski(B))) ) => r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,k14_qc_lang1(A,C,D),B)),k2_xboole_0(k24_qc_lang1(A,k14_qc_lang1(A,C,D)),k1_tarski(B))) ) ) ) & ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,D,B)),k2_xboole_0(k24_qc_lang1(A,D),k1_tarski(B))) => r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,k15_qc_lang1(A,C,D),B)),k2_xboole_0(k24_qc_lang1(A,k15_qc_lang1(A,C,D)),k1_tarski(B))) ) ) ) ) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => r1_tarski(k24_qc_lang1(A,k13_cqc_lang(A,C,B)),k2_xboole_0(k24_qc_lang1(A,C),k1_tarski(B))) ) ) ) )).
fof(s1_qc_lang1__e6_39__qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ~ ( k10_qc_lang1(A,C,D) != k12_qc_lang1(A) & ~ v2_qc_lang1(k10_qc_lang1(A,C,D),A) & ~ v3_qc_lang1(k10_qc_lang1(A,C,D),A) & ~ v4_qc_lang1(k10_qc_lang1(A,C,D),A) & ~ v5_qc_lang1(k10_qc_lang1(A,C,D),A) ) ) ) ) & ~ ( k12_qc_lang1(A) != k12_qc_lang1(A) & ~ v2_qc_lang1(k12_qc_lang1(A),A) & ~ v3_qc_lang1(k12_qc_lang1(A),A) & ~ v4_qc_lang1(k12_qc_lang1(A),A) & ~ v5_qc_lang1(k12_qc_lang1(A),A) ) & ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( ~ ( B != k12_qc_lang1(A) & ~ v2_qc_lang1(B,A) & ~ v3_qc_lang1(B,A) & ~ v4_qc_lang1(B,A) & ~ v5_qc_lang1(B,A) ) => ~ ( k13_qc_lang1(A,B) != k12_qc_lang1(A) & ~ v2_qc_lang1(k13_qc_lang1(A,B),A) & ~ v3_qc_lang1(k13_qc_lang1(A,B),A) & ~ v4_qc_lang1(k13_qc_lang1(A,B),A) & ~ v5_qc_lang1(k13_qc_lang1(A,B),A) ) ) ) & ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( ( ~ ( B != k12_qc_lang1(A) & ~ v2_qc_lang1(B,A) & ~ v3_qc_lang1(B,A) & ~ v4_qc_lang1(B,A) & ~ v5_qc_lang1(B,A) ) & ~ ( C != k12_qc_lang1(A) & ~ v2_qc_lang1(C,A) & ~ v3_qc_lang1(C,A) & ~ v4_qc_lang1(C,A) & ~ v5_qc_lang1(C,A) ) ) => ~ ( k14_qc_lang1(A,B,C) != k12_qc_lang1(A) & ~ v2_qc_lang1(k14_qc_lang1(A,B,C),A) & ~ v3_qc_lang1(k14_qc_lang1(A,B,C),A) & ~ v4_qc_lang1(k14_qc_lang1(A,B,C),A) & ~ v5_qc_lang1(k14_qc_lang1(A,B,C),A) ) ) ) ) & ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( ~ ( C != k12_qc_lang1(A) & ~ v2_qc_lang1(C,A) & ~ v3_qc_lang1(C,A) & ~ v4_qc_lang1(C,A) & ~ v5_qc_lang1(C,A) ) => ~ ( k15_qc_lang1(A,B,C) != k12_qc_lang1(A) & ~ v2_qc_lang1(k15_qc_lang1(A,B,C),A) & ~ v3_qc_lang1(k15_qc_lang1(A,B,C),A) & ~ v4_qc_lang1(k15_qc_lang1(A,B,C),A) & ~ v5_qc_lang1(k15_qc_lang1(A,B,C),A) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ~ ( B != k12_qc_lang1(A) & ~ v2_qc_lang1(B,A) & ~ v3_qc_lang1(B,A) & ~ v4_qc_lang1(B,A) & ~ v5_qc_lang1(B,A) ) ) ) ) )).
fof(s1_qc_lang1__e6_52__cqc_lang,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) ) => ( k5_qc_lang3(A,k10_qc_lang1(A,D,E)) = k1_xboole_0 => k13_cqc_lang(A,k10_qc_lang1(A,D,E),B) = k10_qc_lang1(A,D,E) ) ) ) ) & ( k5_qc_lang3(A,k12_qc_lang1(A)) = k1_xboole_0 => k13_cqc_lang(A,k12_qc_lang1(A),B) = k12_qc_lang1(A) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( ( k5_qc_lang3(A,C) = k1_xboole_0 => k13_cqc_lang(A,C,B) = C ) => ( k5_qc_lang3(A,k13_qc_lang1(A,C)) = k1_xboole_0 => k13_cqc_lang(A,k13_qc_lang1(A,C),B) = k13_qc_lang1(A,C) ) ) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( ( ( k5_qc_lang3(A,C) = k1_xboole_0 => k13_cqc_lang(A,C,B) = C ) & ( k5_qc_lang3(A,D) = k1_xboole_0 => k13_cqc_lang(A,D,B) = D ) ) => ( k5_qc_lang3(A,k14_qc_lang1(A,C,D)) = k1_xboole_0 => k13_cqc_lang(A,k14_qc_lang1(A,C,D),B) = k14_qc_lang1(A,C,D) ) ) ) ) & ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( ( k5_qc_lang3(A,D) = k1_xboole_0 => k13_cqc_lang(A,D,B) = D ) => ( k5_qc_lang3(A,k15_qc_lang1(A,C,D)) = k1_xboole_0 => k13_cqc_lang(A,k15_qc_lang1(A,C,D),B) = k15_qc_lang1(A,C,D) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( k5_qc_lang3(A,C) = k1_xboole_0 => k13_cqc_lang(A,C,B) = C ) ) ) ) )).
fof(s1_qc_lang1__e6_54__cqc_lang,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) ) => k6_qc_lang3(A,k13_cqc_lang(A,k10_qc_lang1(A,D,E),B)) = k6_qc_lang3(A,k10_qc_lang1(A,D,E)) ) ) ) & k6_qc_lang3(A,k13_cqc_lang(A,k12_qc_lang1(A),B)) = k6_qc_lang3(A,k12_qc_lang1(A)) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( k6_qc_lang3(A,k13_cqc_lang(A,C,B)) = k6_qc_lang3(A,C) => k6_qc_lang3(A,k13_cqc_lang(A,k13_qc_lang1(A,C),B)) = k6_qc_lang3(A,k13_qc_lang1(A,C)) ) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( ( k6_qc_lang3(A,k13_cqc_lang(A,C,B)) = k6_qc_lang3(A,C) & k6_qc_lang3(A,k13_cqc_lang(A,D,B)) = k6_qc_lang3(A,D) ) => k6_qc_lang3(A,k13_cqc_lang(A,k14_qc_lang1(A,C,D),B)) = k6_qc_lang3(A,k14_qc_lang1(A,C,D)) ) ) ) & ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( k6_qc_lang3(A,k13_cqc_lang(A,D,B)) = k6_qc_lang3(A,D) => k6_qc_lang3(A,k13_cqc_lang(A,k15_qc_lang1(A,C,D),B)) = k6_qc_lang3(A,k15_qc_lang1(A,C,D)) ) ) ) ) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k6_qc_lang3(A,k13_cqc_lang(A,C,B)) = k6_qc_lang3(A,C) ) ) ) )).
fof(s1_qc_lang1__e6_60__cqc_the3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) ) => r1_tarski(k24_qc_lang1(A,k10_qc_lang1(A,D,E)),k24_qc_lang1(A,k13_cqc_lang(A,k10_qc_lang1(A,D,E),B))) ) ) ) & r1_tarski(k24_qc_lang1(A,k12_qc_lang1(A)),k24_qc_lang1(A,k13_cqc_lang(A,k12_qc_lang1(A),B))) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r1_tarski(k24_qc_lang1(A,C),k24_qc_lang1(A,k13_cqc_lang(A,C,B))) => r1_tarski(k24_qc_lang1(A,k13_qc_lang1(A,C)),k24_qc_lang1(A,k13_cqc_lang(A,k13_qc_lang1(A,C),B))) ) ) & ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( ( r1_tarski(k24_qc_lang1(A,C),k24_qc_lang1(A,k13_cqc_lang(A,C,B))) & r1_tarski(k24_qc_lang1(A,D),k24_qc_lang1(A,k13_cqc_lang(A,D,B))) ) => r1_tarski(k24_qc_lang1(A,k14_qc_lang1(A,C,D)),k24_qc_lang1(A,k13_cqc_lang(A,k14_qc_lang1(A,C,D),B))) ) ) ) & ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( r1_tarski(k24_qc_lang1(A,D),k24_qc_lang1(A,k13_cqc_lang(A,D,B))) => r1_tarski(k24_qc_lang1(A,k15_qc_lang1(A,C,D)),k24_qc_lang1(A,k13_cqc_lang(A,k15_qc_lang1(A,C,D),B))) ) ) ) ) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => r1_tarski(k24_qc_lang1(A,C),k24_qc_lang1(A,k13_cqc_lang(A,C,B))) ) ) ) )).
fof(s1_qc_lang3__e5_38__cqc_lang,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) & v1_funct_1(C) & v1_funct_2(C,k9_qc_lang1(A),k9_qc_lang1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k9_qc_lang1(A)))) & v1_funct_1(D) & v1_funct_2(D,k9_qc_lang1(A),k9_qc_lang1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k9_qc_lang1(A)))) ) => ( ( ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ( ( E = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k5_cqc_lang(A) ) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k10_qc_lang1(A,k16_qc_lang1(A,E),k1_cqc_lang(A,k17_qc_lang1(A,E),k2_cqc_lang(A,k3_qc_lang3(A,k5_numbers),B))) ) & ( ( v3_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k18_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k13_qc_lang1(A,F) ) & ( ( v4_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k19_qc_lang1(A,E)) & G = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k20_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k14_qc_lang1(A,F,G) ) & ( ( v5_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,k22_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,E) = k16_funcop_1(k9_qc_lang1(A),k21_qc_lang1(A,E),B,E,k15_qc_lang1(A,k21_qc_lang1(A,E),F)) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ( ( E = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k5_cqc_lang(A) ) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k10_qc_lang1(A,k16_qc_lang1(A,E),k1_cqc_lang(A,k17_qc_lang1(A,E),k2_cqc_lang(A,k3_qc_lang3(A,k5_numbers),B))) ) & ( ( v3_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k18_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k13_qc_lang1(A,F) ) & ( ( v4_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k19_qc_lang1(A,E)) & G = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k20_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k14_qc_lang1(A,F,G) ) & ( ( v5_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,k22_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),D,E) = k16_funcop_1(k9_qc_lang1(A),k21_qc_lang1(A,E),B,E,k15_qc_lang1(A,k21_qc_lang1(A,E),F)) ) ) ) ) ) ) => r2_funct_2(k9_qc_lang1(A),k9_qc_lang1(A),C,D) ) ) )).
fof(s1_quantal1__e2_64__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => a_3_28_quantal1(A,B,C) = a_3_29_quantal1(A,B,C) ) )).
fof(s1_quantal1__e2_65__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => a_3_32_quantal1(A,B,C) = a_3_33_quantal1(A,B,C) ) )).
fof(s1_quantal1__e3_64__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => a_3_30_quantal1(A,B,C) = a_3_31_quantal1(A,B,C) ) )).
fof(s1_quantal1__e3_65__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => a_3_34_quantal1(A,B,C) = a_3_35_quantal1(A,B,C) ) )).
fof(s1_quantal1__e9_44_1__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => a_6_1_quantal1(A,B,C,D,E,F) = a_6_0_quantal1(A,B,C,D,E,F) ) )).
fof(s1_ramsey_1__e3_21__ramsey_1,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( ~ ( r1_xxreal_0(2,k5_numbers) & r1_xxreal_0(2,A) & ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(B,k4_newton(k7_nat_d(k5_numbers,1),k7_nat_d(k2_xcmplx_0(k5_numbers,A),2))) & r1_xxreal_0(2,B) & ! [C] : ( v1_finset_1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_group_10(C,2),k2_finseq_1(2)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(C,2),k2_finseq_1(2)))) ) => ~ ( r1_xxreal_0(B,k4_card_1(C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ( ~ ( r1_xxreal_0(k5_numbers,k4_card_1(E)) & k10_xtuple_0(k2_partfun1(k3_group_10(C,2),k2_finseq_1(2),D,k3_group_10(E,2))) = k1_tarski(1) ) & ~ ( r1_xxreal_0(A,k4_card_1(E)) & k10_xtuple_0(k2_partfun1(k3_group_10(C,2),k2_finseq_1(2),D,k3_group_10(E,2))) = k1_tarski(2) ) ) ) ) ) ) ) ) ) & ~ ( r1_xxreal_0(2,A) & r1_xxreal_0(2,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(F,k4_newton(k7_nat_d(A,1),k7_nat_d(k2_xcmplx_0(A,k5_numbers),2))) & r1_xxreal_0(2,F) & ! [G] : ( v1_finset_1(G) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k3_group_10(G,2),k2_finseq_1(2)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(G,2),k2_finseq_1(2)))) ) => ~ ( r1_xxreal_0(F,k4_card_1(G)) & ! [I] : ( m1_subset_1(I,k1_zfmisc_1(G)) => ( ~ ( r1_xxreal_0(A,k4_card_1(I)) & k10_xtuple_0(k2_partfun1(k3_group_10(G,2),k2_finseq_1(2),H,k3_group_10(I,2))) = k1_tarski(1) ) & ~ ( r1_xxreal_0(k5_numbers,k4_card_1(I)) & k10_xtuple_0(k2_partfun1(k3_group_10(G,2),k2_finseq_1(2),H,k3_group_10(I,2))) = k1_tarski(2) ) ) ) ) ) ) ) ) ) ) ) & ! [A] : ( v7_ordinal1(A) => ! [J] : ( v7_ordinal1(J) => ( ( ~ ( r1_xxreal_0(2,k1_nat_1(J,1)) & r1_xxreal_0(2,A) & ! [K] : ( v7_ordinal1(K) => ~ ( r1_xxreal_0(K,k4_newton(k7_nat_d(k1_nat_1(J,1),1),k7_nat_d(k2_xcmplx_0(k1_nat_1(J,1),A),2))) & r1_xxreal_0(2,K) & ! [L] : ( v1_finset_1(L) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k3_group_10(L,2),k2_finseq_1(2)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(L,2),k2_finseq_1(2)))) ) => ~ ( r1_xxreal_0(K,k4_card_1(L)) & ! [N] : ( m1_subset_1(N,k1_zfmisc_1(L)) => ( ~ ( r1_xxreal_0(k1_nat_1(J,1),k4_card_1(N)) & k10_xtuple_0(k2_partfun1(k3_group_10(L,2),k2_finseq_1(2),M,k3_group_10(N,2))) = k1_tarski(1) ) & ~ ( r1_xxreal_0(A,k4_card_1(N)) & k10_xtuple_0(k2_partfun1(k3_group_10(L,2),k2_finseq_1(2),M,k3_group_10(N,2))) = k1_tarski(2) ) ) ) ) ) ) ) ) ) & ~ ( r1_xxreal_0(2,J) & r1_xxreal_0(2,k1_nat_1(A,1)) & ! [O] : ( v7_ordinal1(O) => ~ ( r1_xxreal_0(O,k4_newton(k7_nat_d(J,1),k7_nat_d(k2_xcmplx_0(J,k1_nat_1(A,1)),2))) & r1_xxreal_0(2,O) & ! [P] : ( v1_finset_1(P) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k3_group_10(P,2),k2_finseq_1(2)) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(P,2),k2_finseq_1(2)))) ) => ~ ( r1_xxreal_0(O,k4_card_1(P)) & ! [R] : ( m1_subset_1(R,k1_zfmisc_1(P)) => ( ~ ( r1_xxreal_0(J,k4_card_1(R)) & k10_xtuple_0(k2_partfun1(k3_group_10(P,2),k2_finseq_1(2),Q,k3_group_10(R,2))) = k1_tarski(1) ) & ~ ( r1_xxreal_0(k1_nat_1(A,1),k4_card_1(R)) & k10_xtuple_0(k2_partfun1(k3_group_10(P,2),k2_finseq_1(2),Q,k3_group_10(R,2))) = k1_tarski(2) ) ) ) ) ) ) ) ) ) ) => ~ ( r1_xxreal_0(2,k1_nat_1(J,1)) & r1_xxreal_0(2,k1_nat_1(A,1)) & ! [S] : ( v7_ordinal1(S) => ~ ( r1_xxreal_0(S,k4_newton(k7_nat_d(k1_nat_1(J,1),1),k7_nat_d(k2_xcmplx_0(k1_nat_1(J,1),k1_nat_1(A,1)),2))) & r1_xxreal_0(2,S) & ! [T] : ( v1_finset_1(T) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k3_group_10(T,2),k2_finseq_1(2)) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(T,2),k2_finseq_1(2)))) ) => ~ ( r1_xxreal_0(S,k4_card_1(T)) & ! [V] : ( m1_subset_1(V,k1_zfmisc_1(T)) => ( ~ ( r1_xxreal_0(k1_nat_1(J,1),k4_card_1(V)) & k10_xtuple_0(k2_partfun1(k3_group_10(T,2),k2_finseq_1(2),U,k3_group_10(V,2))) = k1_tarski(1) ) & ~ ( r1_xxreal_0(k1_nat_1(A,1),k4_card_1(V)) & k10_xtuple_0(k2_partfun1(k3_group_10(T,2),k2_finseq_1(2),U,k3_group_10(V,2))) = k1_tarski(2) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(2,J) & r1_xxreal_0(2,A) & ! [W] : ( v7_ordinal1(W) => ~ ( r1_xxreal_0(W,k4_newton(k7_nat_d(J,1),k7_nat_d(k2_xcmplx_0(J,A),2))) & r1_xxreal_0(2,W) & ! [X] : ( v1_finset_1(X) => ! [Y] : ( ( v1_funct_1(Y) & v1_funct_2(Y,k3_group_10(X,2),k2_finseq_1(2)) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(X,2),k2_finseq_1(2)))) ) => ~ ( r1_xxreal_0(W,k4_card_1(X)) & ! [Z] : ( m1_subset_1(Z,k1_zfmisc_1(X)) => ( ~ ( r1_xxreal_0(J,k4_card_1(Z)) & k10_xtuple_0(k2_partfun1(k3_group_10(X,2),k2_finseq_1(2),Y,k3_group_10(Z,2))) = k1_tarski(1) ) & ~ ( r1_xxreal_0(A,k4_card_1(Z)) & k10_xtuple_0(k2_partfun1(k3_group_10(X,2),k2_finseq_1(2),Y,k3_group_10(Z,2))) = k1_tarski(2) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_recdef_1__e13_39__frechet2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ? [E] : ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( G = D & F = a_2_3_frechet2(A,G) ) => E = k4_seq_4(F) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k4_seq_4(B) & ! [D] : ( v7_ordinal1(D) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(k4_ordinal1)) ) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( I = k1_funct_1(C,D) & H = a_2_3_frechet2(A,I) ) => k1_funct_1(C,k1_nat_1(D,1)) = k4_seq_4(H) ) ) ) ) ) ) ) )).
fof(s1_recdef_1__e13_55__mesfunc9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ? [E] : E = k4_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,k1_nat_1(C,1)),k4_mesfunc5(A,k6_numbers,B,C)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k4_mesfunc5(A,k6_numbers,B,k5_numbers) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k1_nat_1(D,1)) = k4_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,k1_nat_1(D,1)),k4_mesfunc5(A,k6_numbers,B,D)) ) ) ) ) )).
fof(s1_recdef_1__e6_38__frechet2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ? [E] : ( r2_tarski(E,k4_ordinal1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( F = D & G = E & r1_xxreal_0(G,H) & k8_nat_1(u1_struct_0(A),B,H) = k8_nat_1(u1_struct_0(A),B,F) ) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = k5_numbers & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),k4_ordinal1) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ~ ( I = k1_funct_1(C,D) & J = k1_funct_1(C,k1_nat_1(D,1)) & r1_xxreal_0(J,K) & k8_nat_1(u1_struct_0(A),B,K) = k8_nat_1(u1_struct_0(A),B,I) ) ) ) ) ) ) ) ) ) )).
fof(s1_recdef_1__e7_40__mmlquer2,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ? [E] : ( ! [F] : ( v7_ordinal1(F) => k9_relat_1(k8_funct_7(A,F),D) != k1_xboole_0 ) => ( r2_hidden(E,k9_relat_1(A,D)) & ! [F] : ( v7_ordinal1(F) => k9_relat_1(k8_funct_7(A,F),E) != k1_xboole_0 ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & k1_funct_1(C,k5_numbers) = B & ! [D] : ( v7_ordinal1(D) => ( ! [G] : ( v7_ordinal1(G) => k9_relat_1(k8_funct_7(A,G),k1_funct_1(C,D)) != k1_xboole_0 ) => ( r2_hidden(k1_funct_1(C,k1_nat_1(D,1)),k9_relat_1(A,k1_funct_1(C,D))) & ! [G] : ( v7_ordinal1(G) => k9_relat_1(k8_funct_7(A,G),k1_funct_1(C,k1_nat_1(D,1))) != k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s1_recdef_1__e8_11__topmetr3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ? [D] : ( ( v1_xreal_0(C) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v7_ordinal1(G) => ( ( E = C & F = k8_nat_1(k1_numbers,A,k1_nat_1(G,1)) & G = B ) => ( ( r1_xxreal_0(F,E) => D = C ) & ( ~ r1_xxreal_0(F,E) => D = k8_nat_1(k1_numbers,A,k1_nat_1(G,1)) ) ) ) ) ) ) ) & ( ~ v1_xreal_0(C) => D = 1 ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & k1_funct_1(B,k5_numbers) = k8_nat_1(k1_numbers,A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( ( v1_xreal_0(k1_funct_1(B,C)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v7_ordinal1(J) => ( ( H = k1_funct_1(B,C) & I = k8_nat_1(k1_numbers,A,k1_nat_1(J,1)) & J = C ) => ( ( r1_xxreal_0(I,H) => k1_funct_1(B,k1_nat_1(C,1)) = k1_funct_1(B,C) ) & ( ~ r1_xxreal_0(I,H) => k1_funct_1(B,k1_nat_1(C,1)) = k8_nat_1(k1_numbers,A,k1_nat_1(J,1)) ) ) ) ) ) ) ) & ( ~ v1_xreal_0(k1_funct_1(B,C)) => k1_funct_1(B,k1_nat_1(C,1)) = 1 ) ) ) ) ) ) )).
fof(s1_recdef_1__e8_12__topmetr3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ? [D] : ( ( v1_xreal_0(C) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v7_ordinal1(G) => ( ( E = C & F = k8_nat_1(k1_numbers,A,k1_nat_1(G,1)) & G = B ) => ( ( r1_xxreal_0(E,F) => D = C ) & ( ~ r1_xxreal_0(E,F) => D = k8_nat_1(k1_numbers,A,k1_nat_1(G,1)) ) ) ) ) ) ) ) & ( ~ v1_xreal_0(C) => D = 1 ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & k1_funct_1(B,k5_numbers) = k8_nat_1(k1_numbers,A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( ( v1_xreal_0(k1_funct_1(B,C)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v7_ordinal1(J) => ( ( H = k1_funct_1(B,C) & I = k8_nat_1(k1_numbers,A,k1_nat_1(J,1)) & J = C ) => ( ( r1_xxreal_0(H,I) => k1_funct_1(B,k1_nat_1(C,1)) = k1_funct_1(B,C) ) & ( ~ r1_xxreal_0(H,I) => k1_funct_1(B,k1_nat_1(C,1)) = k8_nat_1(k1_numbers,A,k1_nat_1(J,1)) ) ) ) ) ) ) ) & ( ~ v1_xreal_0(k1_funct_1(B,C)) => k1_funct_1(B,k1_nat_1(C,1)) = 1 ) ) ) ) ) ) )).
fof(s1_relat_1__e14_55__card_3,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ? [D] : ( v1_relat_1(D) & ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ( r2_hidden(E,k3_tarski(A)) & r2_hidden(F,k3_tarski(A)) & ~ ( ! [G] : ~ ( r2_tarski(G,B) & r2_hidden(E,G) & ~ r2_hidden(F,G) ) & ~ ( ! [G] : ( r2_tarski(G,B) => ( r2_hidden(E,G) <=> r2_hidden(F,G) ) ) & r2_hidden(k4_tarski(E,F),C) ) ) ) ) ) ) )).
fof(s1_relat_1__e15_71_1_5_2__simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v7_ordinal1(C) & v1_finset_1(D) & v1_rlaffin1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(E) & v1_rlaffin1(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(F) & v1_funct_2(F,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),D)))),D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),D)))),D))) ) => ? [G] : ( v1_relat_1(G) & ! [H] : ! [I] : ( r2_hidden(k4_tarski(H,I),G) <=> ( r2_hidden(H,a_6_2_simplex1(A,B,C,D,E,F)) & r2_hidden(I,a_4_7_simplex1(A,B,C,D)) & ? [J] : ? [K] : ( J = H & K = I & r1_tarski(J,K) ) ) ) ) ) )).
fof(s1_relat_1__e15_81_1_2__rewrite1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => ? [C] : ( v1_relat_1(C) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,k1_relat_1(A)) & r2_hidden(E,k1_relat_1(A)) & D != E & r2_rewrite1(A,D,E) & r2_hidden(E,B) ) ) ) ) )).
fof(s1_relat_1__e1_67__circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v5_circcomb(A) & l1_msualg_1(A) ) => ? [B] : ( v1_relat_1(B) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,u1_struct_0(A)) & r2_hidden(D,u1_struct_0(A)) & ( C = D | ( r2_hidden(C,u4_struct_0(A)) & r2_hidden(D,k10_xtuple_0(k1_xfamily(C))) ) ) ) ) ) ) )).
fof(s1_relat_1__e3_25__friends1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_2(B) & v3_relat_2(B) & v1_finset_1(B) & v3_friends1(B) ) => ? [C] : ( v1_relat_1(C) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,k9_relat_1(B,A)) & r2_hidden(E,k6_subset_1(k1_relat_1(B),k2_xboole_0(k1_tarski(A),k9_relat_1(B,A)))) & r2_hidden(D,k9_relat_1(B,A)) & r2_hidden(k4_tarski(D,E),B) & ~ r2_hidden(k4_tarski(A,E),B) ) ) ) ) )).
fof(s1_relat_1__e4_6__wellset1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,k3_tarski(A)) & r2_hidden(E,k3_tarski(A)) & ? [F] : ( v1_relat_1(F) & r2_hidden(k4_tarski(D,E),F) & r2_tarski(F,B) ) ) ) ) )).
fof(s1_relat_1__e6_23__wellord2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ? [D] : ( v1_relat_1(D) & ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ( r2_hidden(E,A) & r2_hidden(F,A) & r2_hidden(k4_tarski(k1_funct_1(C,E),k1_funct_1(C,F)),B) ) ) ) ) )).
fof(s1_relat_1__e6_73_2__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v1_relat_1(B) => ? [E] : ( v1_relat_1(E) & ! [F] : ! [G] : ( r2_hidden(k4_tarski(F,G),E) <=> ( r2_hidden(F,A) & r2_hidden(G,A) & ( r2_hidden(k4_tarski(F,G),B) | ( r2_hidden(k4_tarski(F,C),B) & r2_hidden(k4_tarski(D,G),B) ) ) ) ) ) ) )).
fof(s1_relat_1__e8_71_1_5_2__simplex1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v7_ordinal1(C) & v1_finset_1(D) & v1_rlaffin1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(E) & v1_rlaffin1(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(F) & v1_funct_2(F,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),D)))),D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),D)))),D))) ) => ? [G] : ( v1_relat_1(G) & ! [H] : ! [I] : ( r2_hidden(k4_tarski(H,I),G) <=> ( r2_hidden(H,a_4_7_simplex1(A,B,C,D)) & r2_hidden(I,a_6_2_simplex1(A,B,C,D,E,F)) & ? [J] : ? [K] : ( J = H & K = I & r1_tarski(K,J) ) ) ) ) ) )).
fof(s1_relset_1__e13__afvect01,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01)),k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))))) & ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),A) <=> ( r2_hidden(B,k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))) & r2_hidden(C,k2_zfmisc_1(u1_struct_0(o_0_0_afvect01),u1_struct_0(o_0_0_afvect01))) & ? [D] : ( m1_subset_1(D,u1_struct_0(o_0_0_afvect01)) & ? [E] : ( m1_subset_1(E,u1_struct_0(o_0_0_afvect01)) & ? [F] : ( m1_subset_1(F,u1_struct_0(o_0_0_afvect01)) & ? [G] : ( m1_subset_1(G,u1_struct_0(o_0_0_afvect01)) & B = k4_tarski(D,E) & C = k4_tarski(F,G) & r2_diraf(o_0_0_afvect01,D,E,F,G) ) ) ) ) ) ) ) )).
fof(s1_relset_1__e1_33_1__eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ( r2_hidden(E,A) & r2_hidden(F,A) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & r1_xxreal_0(1,k3_finseq_1(G)) & E = k1_funct_1(G,1) & F = k1_funct_1(G,k3_finseq_1(G)) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(G),H) | r2_hidden(k4_tarski(k1_funct_1(G,H),k1_funct_1(G,k1_nat_1(H,1))),k3_eqrel_1(A,B,C)) ) ) ) ) ) ) ) ) )).
fof(s1_relset_1__e1_63__msualg_6,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,A) & r2_hidden(E,A) & r2_rewrite1(B,D,E) ) ) ) ) )).
fof(s1_relset_1__e3_102__dilworth,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) <=> ( r2_hidden(C,A) & r2_hidden(D,A) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & C = k4_tarski(E,G) & D = k4_tarski(F,H) & ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) ) ) ) ) ) ) ) ) )).
fof(s1_relset_1__e3_91__lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,A) & r2_hidden(E,A) & k1_funct_1(B,k2_tarski(D,E)) = E ) ) ) ) )).
fof(s1_relset_1__e5_73_1__dickson,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ( r2_hidden(D,u1_struct_0(A)) & r2_hidden(E,u1_struct_0(A)) & ~ ( ~ r2_hidden(k4_tarski(D,E),u1_orders_2(A)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( ~ r1_xxreal_0(G,F) & r2_hidden(k4_tarski(D,k8_nat_1(u1_struct_0(A),B,G)),u1_orders_2(A)) & r2_hidden(k4_tarski(k8_nat_1(u1_struct_0(A),B,F),E),u1_orders_2(A)) ) ) ) ) ) ) ) ) )).
fof(s1_rewrite1__e9_16__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & m1_rewrite1(B,A) & m1_rewrite1(C,A) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(B)) ) => r2_hidden(k4_tarski(k1_funct_1(B,D),k1_funct_1(B,k1_nat_1(D,1))),A) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(C)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) ) => r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,k1_nat_1(D,1))),A) ) ) & ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(C,1) ) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(k1_rewrite1(B,C))) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(k1_rewrite1(B,C))) ) => ! [E] : ! [F] : ( ( E = k1_funct_1(k1_rewrite1(B,C),D) & F = k1_funct_1(k1_rewrite1(B,C),k1_nat_1(D,1)) ) => r2_hidden(k4_tarski(E,F),A) ) ) ) ) ) )).
fof(s1_rlvect_4__e2_4_1__rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_numbers) & m1_subset_1(F,k1_numbers) & m1_subset_1(G,k1_numbers) & m1_subset_1(H,k1_numbers) ) => ( ( B != C & B != D & C != D ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(A),k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,I,B) = F & k3_funct_2(u1_struct_0(A),k1_numbers,I,C) = G & k3_funct_2(u1_struct_0(A),k1_numbers,I,D) = H & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( J != B & J != C & J != D & k3_funct_2(u1_struct_0(A),k1_numbers,I,J) != E ) ) ) ) ) )).
fof(s1_rlvect_4__e5_24_2_1_2__rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_numbers) & m1_subset_1(F,k1_numbers) & m1_subset_1(G,k1_numbers) ) => ( ( B != C & B != D & C != D ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(A),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,H,B) = E & k3_funct_2(u1_struct_0(A),k1_numbers,H,C) = F & k3_funct_2(u1_struct_0(A),k1_numbers,H,D) = G & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( I != B & I != C & I != D & k3_funct_2(u1_struct_0(A),k1_numbers,H,I) != k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) )).
fof(s1_rlvect_4__e6_11_1__rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,k1_numbers) & m1_subset_1(G,k1_numbers) & m1_subset_1(H,k1_numbers) ) => ( ( C != D & C != E & D != E ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(B),k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,I,C) = F & k3_funct_2(u1_struct_0(B),k1_numbers,I,D) = G & k3_funct_2(u1_struct_0(B),k1_numbers,I,E) = H & ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ~ ( J != C & J != D & J != E & k3_funct_2(u1_struct_0(B),k1_numbers,I,J) != A ) ) ) ) ) )).
fof(s1_rlvect_4__e6_18_2_1_2__rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,k1_numbers) & m1_subset_1(G,k1_numbers) & m1_subset_1(H,k1_numbers) ) => ( ( C != D & C != E & D != E ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(B),k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,I,C) = F & k3_funct_2(u1_struct_0(B),k1_numbers,I,D) = G & k3_funct_2(u1_struct_0(B),k1_numbers,I,E) = H & ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ~ ( J != C & J != D & J != E & k3_funct_2(u1_struct_0(B),k1_numbers,I,J) != A ) ) ) ) ) )).
fof(s1_rlvect_4__e6_43_2_1_2__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_numbers) & m1_subset_1(F,k1_numbers) & m1_subset_1(G,k1_numbers) ) => ( ( B != C & B != D & C != D ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(A),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,H,B) = E & k3_funct_2(u1_struct_0(A),k1_numbers,H,C) = F & k3_funct_2(u1_struct_0(A),k1_numbers,H,D) = G & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( I != B & I != C & I != D & k3_funct_2(u1_struct_0(A),k1_numbers,H,I) != k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) )).
fof(s1_scmpds_8__e27_6__scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) & m1_subset_1(I,k4_ordinal1) & v1_funct_1(J) & v1_funct_2(J,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( ~ r1_xxreal_0(L,I) => k1_funct_1(K,k1_scmp_gcd(L)) = k1_funct_1(B,k1_scmp_gcd(L)) ) ) & ? [L] : ( m2_finseq_1(L,k4_numbers) & r1_scpisort(L,B,I) & k3_finseq_1(L) = k2_xcmplx_0(k1_funct_1(K,k1_scmp_gcd(H)),G) & k1_funct_1(K,E) = k1_gr_cy_1(L) & r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(K,F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(L)) ) & k1_recdef_1(J,K) = k5_numbers ) => r1_xxreal_0(k5_numbers,k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),H))) ) ) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( ~ r1_xxreal_0(M,I) => k1_funct_1(B,k1_scmp_gcd(M)) = k1_funct_1(B,k1_scmp_gcd(M)) ) ) & ? [M] : ( m2_finseq_1(M,k4_numbers) & r1_scpisort(M,B,I) & k3_finseq_1(M) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(H)),G) & k1_funct_1(B,E) = k1_gr_cy_1(M) & r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(B,F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(M)) ) & ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,k4_ordinal1) & v5_relat_1(N,u1_compos_1(k1_scmpds_2)) & v1_funct_1(N) & v1_partfun1(N,k4_ordinal1) ) => ( ( ! [O] : ( m1_subset_1(O,k4_ordinal1) => ( ~ r1_xxreal_0(O,I) => k1_funct_1(K,k1_scmp_gcd(O)) = k1_funct_1(B,k1_scmp_gcd(O)) ) ) & ? [O] : ( m2_finseq_1(O,k4_numbers) & r1_scpisort(O,B,I) & k3_finseq_1(O) = k2_xcmplx_0(k1_funct_1(K,k1_scmp_gcd(H)),G) & k1_funct_1(K,E) = k1_gr_cy_1(O) & r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(K,F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(O)) ) & k1_funct_1(K,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),H))) | ( k1_funct_1(k6_scmpds_4(C,K,N),D) = k1_funct_1(K,D) & r1_scmpds_6(C,K,N) & r2_scmpds_6(C,K,N) & ~ r1_xxreal_0(k1_recdef_1(J,K),k1_recdef_1(J,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)))) & ! [P] : ( m1_subset_1(P,k4_ordinal1) => ( ~ r1_xxreal_0(P,I) => k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),k1_scmp_gcd(P)) = k1_funct_1(B,k1_scmp_gcd(P)) ) ) & ? [P] : ( m2_finseq_1(P,k4_numbers) & r1_scpisort(P,B,I) & k3_finseq_1(P) = k2_xcmplx_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),k1_scmp_gcd(H)),G) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),E) = k1_gr_cy_1(P) & r1_xxreal_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(P)) ) ) ) ) ) ) ) => ( r1_scmpds_6(k1_scmpds_8(D,H,C),B,A) & r2_scmpds_6(k1_scmpds_8(D,H,C),B,A) ) ) ) )).
fof(s1_scpinvar__e13_6__scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) & m1_subset_1(I,k4_ordinal1) & v1_funct_1(J) & v1_funct_2(J,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( ~ r1_xxreal_0(L,I) => k1_funct_1(K,k1_scmp_gcd(L)) = k1_funct_1(B,k1_scmp_gcd(L)) ) ) & ? [L] : ( m2_finseq_1(L,k4_numbers) & r1_scpisort(L,B,I) & k3_finseq_1(L) = k2_xcmplx_0(k1_funct_1(K,k1_scmp_gcd(H)),G) & k1_funct_1(K,E) = k1_gr_cy_1(L) & r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(K,F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(L)) ) ) => ( k1_recdef_1(J,K) = k5_numbers <=> r1_xxreal_0(k5_numbers,k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),H))) ) ) ) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( ~ r1_xxreal_0(M,I) => k1_funct_1(B,k1_scmp_gcd(M)) = k1_funct_1(B,k1_scmp_gcd(M)) ) ) & ? [M] : ( m2_finseq_1(M,k4_numbers) & r1_scpisort(M,B,I) & k3_finseq_1(M) = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(H)),G) & k1_funct_1(B,E) = k1_gr_cy_1(M) & r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(B,F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(M)) ) & ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,k4_ordinal1) & v5_relat_1(N,u1_compos_1(k1_scmpds_2)) & v1_funct_1(N) & v1_partfun1(N,k4_ordinal1) ) => ( ( ! [O] : ( m1_subset_1(O,k4_ordinal1) => ( ~ r1_xxreal_0(O,I) => k1_funct_1(K,k1_scmp_gcd(O)) = k1_funct_1(B,k1_scmp_gcd(O)) ) ) & ? [O] : ( m2_finseq_1(O,k4_numbers) & r1_scpisort(O,B,I) & k3_finseq_1(O) = k2_xcmplx_0(k1_funct_1(K,k1_scmp_gcd(H)),G) & k1_funct_1(K,E) = k1_gr_cy_1(O) & r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(K,F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(O)) ) & k1_funct_1(K,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),H))) | ( k1_funct_1(k6_scmpds_4(C,K,N),D) = k1_funct_1(K,D) & r1_scmpds_6(C,K,N) & r2_scmpds_6(C,K,N) & ~ r1_xxreal_0(k1_recdef_1(J,K),k1_recdef_1(J,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)))) & ! [P] : ( m1_subset_1(P,k4_ordinal1) => ( ~ r1_xxreal_0(P,I) => k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),k1_scmp_gcd(P)) = k1_funct_1(B,k1_scmp_gcd(P)) ) ) & ? [P] : ( m2_finseq_1(P,k4_numbers) & r1_scpisort(P,B,I) & k3_finseq_1(P) = k2_xcmplx_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),k1_scmp_gcd(H)),G) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),E) = k1_gr_cy_1(P) & r1_xxreal_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,K,N)),F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(P)) ) ) ) ) ) ) ) => ( k1_recdef_1(J,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_8(D,H,C),B,A))) = k5_numbers & ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ( ~ r1_xxreal_0(Q,I) => k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_8(D,H,C),B,A)),k1_scmp_gcd(Q)) = k1_funct_1(B,k1_scmp_gcd(Q)) ) ) & ? [Q] : ( m2_finseq_1(Q,k4_numbers) & r1_scpisort(Q,B,I) & k3_finseq_1(Q) = k2_xcmplx_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_8(D,H,C),B,A)),k1_scmp_gcd(H)),G) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_8(D,H,C),B,A)),E) = k1_gr_cy_1(Q) & r1_xxreal_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_8(D,H,C),B,A)),k1_scmp_gcd(H)),k5_numbers) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_8(D,H,C),B,A)),F) = k1_nat_1(k1_nat_1(I,1),k3_finseq_1(Q)) ) ) ) ) )).
fof(s1_scpisort__e6_18__scpisort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_int_1(G) & v1_int_1(H) & v7_ordinal1(I) ) => ( ( ~ r1_xxreal_0(I,k5_numbers) & ? [J] : ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & J = B & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(J,F),H),k1_funct_1(J,E)) ) & ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmpds_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( ( ? [M] : ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & M = K & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(M,F),H),k1_funct_1(M,E)) ) & k1_funct_1(K,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),K,L),D) = k1_funct_1(K,D) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),K,L),k2_scmpds_2(k1_funct_1(B,D),G)) = k6_xcmplx_0(k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),G)),I) & r1_scmpds_6(C,K,L) & r2_scmpds_6(C,K,L) & ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),K,L)) & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(N,F),H),k1_funct_1(N,E)) ) ) ) ) ) ) ) => ( r1_scmpds_6(k2_scmpds_7(D,G,I,C),B,A) & r2_scmpds_6(k2_scmpds_7(D,G,I,C),B,A) ) ) ) )).
fof(s1_seq_1__e10_48_1__limfunc1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k4_xcmplx_0(B) ) ) )).
fof(s1_seq_1__e10_49_1__limfunc1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k4_xcmplx_0(B) ) ) )).
fof(s1_seq_1__e11_109__prepower,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k1_newton(k1_funct_1(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_seq_1(k1_seq_2(A)),A),D),B) ) ) ) )).
fof(s1_seq_1__e11_33_1_1__compl_sp,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k2_xcmplx_0(1,B)) ) ) )).
fof(s1_seq_1__e12_110_1_2__prepower,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k5_xcmplx_0(k1_funct_1(A,C)) ) ) ) )).
fof(s1_seq_1__e13_45_1__limfunc1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k4_xcmplx_0(B) ) ) )).
fof(s1_seq_1__e13_5_1__ali2,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(A,k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e14_10__fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k6_xcmplx_0(A,k7_xcmplx_0(B,k2_xcmplx_0(D,1))) ) ) ) )).
fof(s1_seq_1__e15_17__holder_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k8_nat_1(k1_numbers,k3_series_1(B),D),k7_xcmplx_0(1,A)) ) ) ) )).
fof(s1_seq_1__e16_10__fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_xcmplx_0(A,k7_xcmplx_0(B,k2_xcmplx_0(D,1))) ) ) ) )).
fof(s1_seq_1__e16_18__holder_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k8_nat_1(k1_numbers,k3_series_1(B),D),k7_xcmplx_0(1,A)) ) ) ) )).
fof(s1_seq_1__e16_3__fdiff_3,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(2,B) ) ) )).
fof(s1_seq_1__e16_4__fdiff_3,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(2,B) ) ) )).
fof(s1_seq_1__e16_7__fdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k6_xcmplx_0(A,k7_xcmplx_0(B,k1_nat_1(D,1))) ) ) ) )).
fof(s1_seq_1__e17_8__fdiff_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_nat_1(k3_xcmplx_0(2,B),1) ) ) )).
fof(s1_seq_1__e17_9__fdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_xcmplx_0(A,k7_xcmplx_0(B,k1_nat_1(D,1))) ) ) ) )).
fof(s1_seq_1__e18_109__prepower,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k1_newton(k1_funct_1(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,k1_seq_1(k1_seq_2(A))),D),B) ) ) ) )).
fof(s1_seq_1__e18_1_1_2_2_1_1__rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k4_xcmplx_0(k7_xcmplx_0(A,k2_xcmplx_0(C,2))) ) ) ) )).
fof(s1_seq_1__e18_1_1_2_2_1_2__rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k4_xcmplx_0(k7_xcmplx_0(A,k2_xcmplx_0(C,2))) ) ) ) )).
fof(s1_seq_1__e18_3__fdiff_3,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_nat_1(k3_xcmplx_0(2,B),1) ) ) )).
fof(s1_seq_1__e18_4__fdiff_3,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_nat_1(k3_xcmplx_0(2,B),1) ) ) )).
fof(s1_seq_1__e18_8__lp_space,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_xcmplx_0(k9_complex1(k8_nat_1(k1_numbers,A,D)),k9_complex1(k8_nat_1(k1_numbers,B,D))) ) ) ) )).
fof(s1_seq_1__e19_17__holder_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k8_nat_1(k1_numbers,k3_series_1(B),D),k7_xcmplx_0(1,A)) ) ) ) )).
fof(s1_seq_1__e1_10__limfunc2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k1_nat_1(B,1)) ) ) )).
fof(s1_seq_1__e1_11__limfunc2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k1_nat_1(B,1)) ) ) )).
fof(s1_seq_1__e1_14_3_3_1__rsspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace4)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace4)))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(k5_algstr_0(k3_rsspace4,k1_normsp_0(k3_rsspace4,A,E),k1_normsp_0(k3_rsspace4,A,B)))),C) ) ) ) )).
fof(s1_seq_1__e1_19_1_1__irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k3_xcmplx_0(k7_xcmplx_0(1,k1_nat_1(A,1)),k1_funct_1(k2_irrat_1(A),C)) ) ) ) )).
fof(s1_seq_1__e1_19_3_2_2_1__csspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace3)))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k5_algstr_0(k3_csspace3,k1_normsp_0(k3_csspace3,A,E),k1_normsp_0(k3_csspace3,A,B))))),C) ) ) ) )).
fof(s1_seq_1__e1_19_3_2_2_1__rsspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace3)))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(k5_algstr_0(k3_rsspace3,k1_normsp_0(k3_rsspace3,A,E),k1_normsp_0(k3_rsspace3,A,B))))),C) ) ) ) )).
fof(s1_seq_1__e1_19_3_3_1__csspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace4)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace4)))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k5_algstr_0(k3_csspace4,k1_normsp_0(k3_csspace4,A,E),k1_normsp_0(k3_csspace4,A,B)))),C) ) ) ) )).
fof(s1_seq_1__e1_27_4_1_2_1__lp_space,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [G] : ( v7_ordinal1(G) => k8_nat_1(k1_numbers,F,G) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k2_rsspace(k5_algstr_0(B,k1_normsp_0(B,C,G),k1_normsp_0(B,C,D))),A)),E) ) ) ) )).
fof(s1_seq_1__e1_29__series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(A,k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e1_31_1__irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k1_funct_1(k3_series_1(k3_irrat_1(C)),A) ) ) ) )).
fof(s1_seq_1__e1_33__moebius2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k10_newton(B) ) ) )).
fof(s1_seq_1__e1_38_3_1__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(k5_series_1(2,B),D)),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,B))) ) ) ) )).
fof(s1_seq_1__e1_40__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,k5_clopban4(A,C,B,E))),E) ) ) ) )).
fof(s1_seq_1__e1_43__frechet2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k1_nat_1(C,A) ) ) ) )).
fof(s1_seq_1__e1_46_4_1_1_3__rsspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,C,E),k1_normsp_0(A,C,B))) ) ) ) )).
fof(s1_seq_1__e1_46__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,k8_lopban_4(A,C,B,E))),E) ) ) ) )).
fof(s1_seq_1__e1_52_4_1_1_3__csspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,C,E),k1_normsp_0(A,C,B))) ) ) ) )).
fof(s1_seq_1__e1_77__asympt_1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k2_power(k2_xcmplx_0(1,k7_xcmplx_0(1,k1_nat_1(B,1))),k1_nat_1(B,1)) ) ) )).
fof(s1_seq_1__e1_81__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k1_int_1(k3_xcmplx_0(k1_nat_1(C,1),A)),k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e1_82__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k2_int_1(k3_xcmplx_0(k1_nat_1(C,1),A)),k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e1_8__fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(A,k2_xcmplx_0(C,1)) ) ) ) )).
fof(s1_seq_1__e1_9__fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(A,k2_xcmplx_0(C,1)) ) ) ) )).
fof(s1_seq_1__e20_18__holder_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k8_nat_1(k1_numbers,k3_series_1(B),D),k7_xcmplx_0(1,A)) ) ) ) )).
fof(s1_seq_1__e25_8__fdiff_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(2,B) ) ) )).
fof(s1_seq_1__e2_103_1_1_1__limfunc1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k4_xcmplx_0(B) ) ) )).
fof(s1_seq_1__e2_103_1_1_2__limfunc1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k4_xcmplx_0(B) ) ) )).
fof(s1_seq_1__e2_11_3_1_2__holder_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( v7_ordinal1(F) => k8_nat_1(k1_numbers,E,F) = k7_xcmplx_0(k9_complex1(k8_nat_1(k1_numbers,B,F)),k2_power(k8_nat_1(k1_numbers,k3_series_1(C),D),k7_xcmplx_0(1,A))) ) ) ) )).
fof(s1_seq_1__e2_15__lpspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k9_complex1(k6_xcmplx_0(k1_seq_2(A),k8_nat_1(k1_numbers,A,C))) ) ) ) )).
fof(s1_seq_1__e2_19_3_3_1__csspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace3)))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k5_algstr_0(k3_csspace3,k1_normsp_0(k3_csspace3,A,E),k1_normsp_0(k3_csspace3,A,B))))),C) ) ) ) )).
fof(s1_seq_1__e2_19_3_3_1__rsspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace3)))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(k5_algstr_0(k3_rsspace3,k1_normsp_0(k3_rsspace3,A,E),k1_normsp_0(k3_rsspace3,A,B))))),C) ) ) ) )).
fof(s1_seq_1__e2_21_2__prepower,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k1_newton(k1_funct_1(A,D),B) ) ) ) )).
fof(s1_seq_1__e2_27_4_3_1__lp_space,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [G] : ( v7_ordinal1(G) => k8_nat_1(k1_numbers,F,G) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k2_rsspace(k5_algstr_0(B,k1_normsp_0(B,C,G),k1_normsp_0(B,C,D))),A)),E) ) ) ) )).
fof(s1_seq_1__e2_3_1_1_2__series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(k9_complex1(A),k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e2_3__tbsp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(A,k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e2_58_1__compl_sp,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k2_xcmplx_0(1,B)) ) ) )).
fof(s1_seq_1__e2_76_1__limfunc1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k4_xcmplx_0(B) ) ) )).
fof(s1_seq_1__e2_97_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k1_real_1(k4_complex1(k3_xcmplx_0(k11_comseq_3(k24_sin_cos(k3_xcmplx_0(k1_funct_1(B,D),k7_complex1))),k2_xcmplx_0(k3_funct_2(k1_numbers,k1_numbers,k18_sin_cos,A),k3_xcmplx_0(k3_funct_2(k1_numbers,k1_numbers,k16_sin_cos,A),k7_complex1))))) ) ) ) )).
fof(s1_seq_1__e2_98_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k3_complex1(k3_xcmplx_0(k11_comseq_3(k24_sin_cos(k3_xcmplx_0(k1_funct_1(B,D),k7_complex1))),k2_xcmplx_0(k1_funct_1(k18_sin_cos,A),k3_xcmplx_0(k1_funct_1(k16_sin_cos,A),k7_complex1)))) ) ) ) )).
fof(s1_seq_1__e2_99_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k3_xcmplx_0(k1_funct_1(k22_sin_cos,A),k3_complex1(k11_comseq_3(k24_sin_cos(k1_funct_1(B,D))))) ) ) ) )).
fof(s1_seq_1__e37_92__polynom5,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k1_nat_1(B,1)) ) ) )).
fof(s1_seq_1__e3_14_1__rsspace4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace4)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace4)))) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k1_funct_1(k2_rsspace(k1_normsp_0(k3_rsspace4,A,D)),B) ) ) ) )).
fof(s1_seq_1__e3_17__nfcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(A,k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e3_19_1_1__irrat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k3_xcmplx_0(k1_funct_1(B,D),k1_funct_1(k1_irrat_1(A),D)) ) ) ) )).
fof(s1_seq_1__e3_19_1__rsspace3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace3)))) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k1_funct_1(k2_rsspace(k1_normsp_0(k3_rsspace3,A,D)),B) ) ) ) )).
fof(s1_seq_1__e3_23__lp_space,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),A)) ) ) ) )).
fof(s1_seq_1__e3_27_2__lp_space,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k8_nat_1(k1_numbers,k2_rsspace(k1_normsp_0(A,B,E)),C) ) ) ) )).
fof(s1_seq_1__e3_28_1__compl_sp,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k2_xcmplx_0(1,B)) ) ) )).
fof(s1_seq_1__e3_39_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k12_sin_cos(B,A,D))),D) ) ) ) )).
fof(s1_seq_1__e3_55__comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(k9_complex1(A),k1_nat_1(C,1)) ) ) ) )).
fof(s1_seq_1__e3_68__sin_cos,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k2_newton(B) ) ) )).
fof(s1_seq_1__e4_15__lpspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k1_seq_2(A) ) ) ) )).
fof(s1_seq_1__e4_24__lp_space,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k2_power(k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),B)),A) ) ) ) )).
fof(s1_seq_1__e4_40_1_2__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_prepower(C,k7_xcmplx_0(1,A)) ) ) ) )).
fof(s1_seq_1__e4_7__ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(A,k2_xcmplx_0(C,1)) ) ) ) )).
fof(s1_seq_1__e4_84__asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k6_real_1(k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k4_asympt_1(1),A),C),k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k4_asympt_1(1),A),k1_nat_1(C,1))) ) ) ) )).
fof(s1_seq_1__e5_37_1__irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k1_funct_1(k3_series_1(k3_irrat_1(C)),A) ) ) ) )).
fof(s1_seq_1__e5_81__prepower,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k1_nat_1(B,1)) ) ) )).
fof(s1_seq_1__e5_82__prepower,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k1_nat_1(B,1)) ) ) )).
fof(s1_seq_1__e67__sin_cos,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k2_xcmplx_0(k3_xcmplx_0(2,B),1) ) ) )).
fof(s1_seq_1__e6_12__holder_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k1_numbers,D,E) = k2_power(k9_complex1(k3_real_1(k8_nat_1(k1_numbers,B,E),k8_nat_1(k1_numbers,C,E))),k6_xcmplx_0(A,1)) ) ) ) )).
fof(s1_seq_1__e6_18__holder_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k8_nat_1(k1_numbers,k3_series_1(B),D),k7_xcmplx_0(1,A)) ) ) ) )).
fof(s1_seq_1__e6_65_4_1__c0sp1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),k1_funct_1(B,A))) ) ) ) )).
fof(s1_seq_1__e7_11_3_1_2__holder_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( v7_ordinal1(F) => k8_nat_1(k1_numbers,E,F) = k7_xcmplx_0(k9_complex1(k8_nat_1(k1_numbers,B,F)),k2_power(k8_nat_1(k1_numbers,k3_series_1(C),D),k7_xcmplx_0(1,A))) ) ) ) )).
fof(s1_seq_1__e7_47_4_1_1__cc0sp1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),k1_funct_1(B,A))) ) ) ) )).
fof(s1_seq_1__e7_6__lp_space,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_xcmplx_0(k9_complex1(k8_nat_1(k1_numbers,A,D)),k9_complex1(k8_nat_1(k1_numbers,B,D))) ) ) ) )).
fof(s1_seq_1__e8_1_1_2_2_1_1__rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(A,k2_xcmplx_0(C,2)) ) ) ) )).
fof(s1_seq_1__e8_1_1_2_2_1_2__rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(A,k2_xcmplx_0(C,2)) ) ) ) )).
fof(s1_seq_1__e9_40_1_2__series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k3_xcmplx_0(k5_series_1(2,C),k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,C))) ) ) ) )).
fof(s1_seqfunc__e12_105__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,F),C)) ) ) ) )).
fof(s1_seqfunc__e12_106__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,F),C)) ) ) ) )).
fof(s1_seqfunc__e12_110__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,D,E),k6_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,E),B)) ) ) ) )).
fof(s1_seqfunc__e13_18__mesfun10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(D,C) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,B,F),D)) ) ) ) )).
fof(s1_seqfunc__e17_105__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,F),C)) ) ) ) )).
fof(s1_seqfunc__e26_40__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,C,F),D)) ) ) ) )).
fof(s1_seqfunc__e29_101__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,D,E),k3_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,E),k4_mesfunc5(A,k6_numbers,C,E))) ) ) ) )).
fof(s1_seqfunc__e2_19__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)))) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,k1_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,C,D),k26_valued_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,k1_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,B,D),k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(1,2)),D))) ) ) ) )).
fof(s1_seqfunc__e3_100__mesfunc5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,C,D),B) ) ) ) )).
fof(s1_seqfunc__e3_97_3__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,C,F),D)) ) ) ) )).
fof(s1_seqfunc__e45_105__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [G] : ( v7_ordinal1(G) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,F,G),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,E,G),k6_prob_1(A,B,C,D))) ) ) ) )).
fof(s1_seqfunc__e6_65__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,F),C)) ) ) ) )).
fof(s1_seqfunc__e8_53__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k1_seqfunc(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,F),C)) ) ) ) )).
fof(s1_sgraph1__e6_30__sgraph1,axiom,( ! [A] : ! [B] : ( ( r2_tarski(g1_sgraph1(k1_xboole_0,k1_subset_1(k2_sgraph1(k1_xboole_0))),B) & ! [C] : ( m1_sgraph1(C,A) => ! [D] : ( ( r2_tarski(C,k3_sgraph1(A)) & r2_tarski(C,B) & r2_tarski(D,A) ) => ( r2_tarski(D,u1_struct_0(C)) | r2_tarski(g1_sgraph1(k2_xboole_0(u1_struct_0(C),k1_tarski(D)),k1_subset_1(k2_sgraph1(k2_xboole_0(u1_struct_0(C),k1_tarski(D))))),B) ) ) ) & ! [C] : ( m1_sgraph1(C,A) => ! [D] : ~ ( r2_tarski(C,B) & r2_tarski(D,k2_sgraph1(u1_struct_0(C))) & ~ r2_tarski(D,u1_sgraph1(C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_sgraph1(u1_struct_0(C)))) => ~ ( E = k2_xboole_0(u1_sgraph1(C),k1_tarski(D)) & r2_tarski(g1_sgraph1(u1_struct_0(C),E),B) ) ) ) ) ) => ! [C] : ( r2_tarski(C,k3_sgraph1(A)) => r2_tarski(C,B) ) ) )).
fof(s1_stacks_1__e3_39__stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ( ( ? [B] : ( m1_subset_1(B,u4_struct_0(A)) & k9_stacks_1(A,B) = k6_finseq_1(u1_struct_0(A)) ) & ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ? [E] : ( m1_subset_1(E,u4_struct_0(A)) & k9_stacks_1(A,E) = C ) => ? [F] : ( m1_subset_1(F,u4_struct_0(A)) & k9_stacks_1(A,F) = k1_stacks_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),D),C) ) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ? [G] : ( m1_subset_1(G,u4_struct_0(A)) & k9_stacks_1(A,G) = C ) ) ) ) )).
fof(s1_stacks_1__e5_66__stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( ( ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & k9_stacks_1(A,C) = k6_finseq_1(u1_struct_0(A)) & r2_tarski(C,k11_stacks_1(A,B)) ) & ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ? [F] : ( m1_subset_1(F,u4_struct_0(A)) & k9_stacks_1(A,F) = D & r2_tarski(F,k11_stacks_1(A,B)) ) => ? [G] : ( m1_subset_1(G,u4_struct_0(A)) & k9_stacks_1(A,G) = k1_stacks_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),E),D) & r2_tarski(G,k11_stacks_1(A,B)) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ? [H] : ( m1_subset_1(H,u4_struct_0(A)) & k9_stacks_1(A,H) = D & r2_tarski(H,k11_stacks_1(A,B)) ) ) ) ) )).
fof(s1_stirl2_1__e1_29__stirl2_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v1_finset_1(a_2_0_stirl2_1(A,B)) ) )).
fof(s1_sublemma__e2_110__sublemma,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_valuat_1(C,A,B) ) => ( ! [D] : ( m2_subset_1(D,k16_substut1(A),k38_substut1(A)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( m1_substut1(G,A,k7_sublemma(A,D,F)) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v5_relat_1(I,k3_qc_lang1(A)) & v3_card_1(I,H) & m2_finseq_1(I,k2_qc_lang1(A)) ) => ! [J] : ( m2_subset_1(J,k6_qc_lang1(A),k8_qc_lang1(A,H)) => ! [K] : ( m1_subset_1(K,k1_substut1(A)) => ( ! [L] : ( m2_funct_2(L,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,k4_sublemma(H,A,J,I,K)),C,L) <=> r1_sublemma(A,k4_sublemma(H,A,J,I,K),B,k1_sublemma(A,B,L,k3_sublemma(A,k4_sublemma(H,A,J,I,K),B,L)),C) ) ) & ( v2_substut1(D,A) => ! [M] : ( m2_funct_2(M,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,D),C,M) <=> r1_sublemma(A,D,B,k1_sublemma(A,B,M,k3_sublemma(A,D,B,M)),C) ) ) ) & ( ! [N] : ( m2_funct_2(N,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,D),C,N) <=> r1_sublemma(A,D,B,k1_sublemma(A,B,N,k3_sublemma(A,D,B,N)),C) ) ) => ! [O] : ( m2_funct_2(O,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,k5_sublemma(A,D)),C,O) <=> r1_sublemma(A,k5_sublemma(A,D),B,k1_sublemma(A,B,O,k3_sublemma(A,k5_sublemma(A,D),B,O)),C) ) ) ) & ( ( k19_substut1(A,D) = k19_substut1(A,E) & ! [P] : ( m2_funct_2(P,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,D),C,P) <=> r1_sublemma(A,D,B,k1_sublemma(A,B,P,k3_sublemma(A,D,B,P)),C) ) ) & ! [Q] : ( m2_funct_2(Q,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,E),C,Q) <=> r1_sublemma(A,E,B,k1_sublemma(A,B,Q,k3_sublemma(A,E,B,Q)),C) ) ) ) => ! [R] : ( m2_funct_2(R,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,k6_sublemma(A,D,E)),C,R) <=> r1_sublemma(A,k6_sublemma(A,D,E),B,k1_sublemma(A,B,R,k3_sublemma(A,k6_sublemma(A,D,E),B,R)),C) ) ) ) & ( ( v3_substut1(k7_sublemma(A,D,F),A) & ! [S] : ( m2_funct_2(S,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,D),C,S) <=> r1_sublemma(A,D,B,k1_sublemma(A,B,S,k3_sublemma(A,D,B,S)),C) ) ) ) => ! [T] : ( m2_funct_2(T,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,k9_sublemma(A,k7_sublemma(A,D,F),G)),C,T) <=> r1_sublemma(A,k9_sublemma(A,k7_sublemma(A,D,F),G),B,k1_sublemma(A,B,T,k3_sublemma(A,k9_sublemma(A,k7_sublemma(A,D,F),G),B,T)),C) ) ) ) ) ) ) ) ) ) ) ) ) => ! [D] : ( m2_subset_1(D,k16_substut1(A),k38_substut1(A)) => ! [U] : ( m2_funct_2(U,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,D),C,U) <=> r1_sublemma(A,D,B,k1_sublemma(A,B,U,k3_sublemma(A,D,B,U)),C) ) ) ) ) ) )).
fof(s1_subset_1__e1_55__topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,k3_topmetr) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,u1_struct_0(A)) & r1_xxreal_0(k1_funct_1(D,F),k1_funct_1(C,F)) ) ) ) ) )).
fof(s1_subset_1__e28_44_1__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B))))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B))))) & ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)))) & r2_tarski(F,D) & r1_tarski(F,k1_funct_1(C,1)) ) ) ) ) )).
fof(s1_subset_1__e2_43_1_1__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k7_glib_000(A))) & ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k7_glib_000(A)) & r2_tarski(k1_funct_1(k10_glib_000(A),E),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) & ~ r2_tarski(k1_funct_1(k11_glib_000(A),E),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) ) ) ) ) )).
fof(s1_subset_1__e2_43__integra2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & m1_integra1(B,A) & m1_integra1(C,A) & v7_ordinal1(D) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k4_finseq_1(C))) & ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,k4_finseq_1(C)) & r2_tarski(k1_funct_1(C,F),k1_rvsum_1(B)) & r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(C,F)) ) ) ) ) )).
fof(s1_subset_1__e2_70_1_1__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k7_glib_000(A))) & ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k7_glib_000(A)) & r3_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k6_subset_1(k6_glib_000(A),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))),D) ) ) ) ) )).
fof(s1_subset_1__e3_55__topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,k3_topmetr) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,u1_struct_0(A)) & r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(D,F)) ) ) ) ) )).
fof(s1_substut1__e6_53__substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m1_subset_1(E,k1_substut1(A)) => ~ ( ~ v2_substut1(k17_substut1(A,C,D,E),A) & ~ v4_substut1(k17_substut1(A,C,D,E),A) & ~ v5_substut1(k17_substut1(A,C,D,E),A) & ~ v6_substut1(k17_substut1(A,C,D,E),A) & ~ v7_substut1(k17_substut1(A,C,D,E),A) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v2_substut1(B,A) => ~ ( ~ v2_substut1(B,A) & ~ v4_substut1(B,A) & ~ v5_substut1(B,A) & ~ v6_substut1(B,A) & ~ v7_substut1(B,A) ) ) ) & ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( ~ ( ~ v2_substut1(B,A) & ~ v4_substut1(B,A) & ~ v5_substut1(B,A) & ~ v6_substut1(B,A) & ~ v7_substut1(B,A) ) => ~ ( ~ v2_substut1(k20_substut1(A,B),A) & ~ v4_substut1(k20_substut1(A,B),A) & ~ v5_substut1(k20_substut1(A,B),A) & ~ v6_substut1(k20_substut1(A,B),A) & ~ v7_substut1(k20_substut1(A,B),A) ) ) ) & ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( ( k19_substut1(A,B) = k19_substut1(A,C) & ~ ( ~ v2_substut1(B,A) & ~ v4_substut1(B,A) & ~ v5_substut1(B,A) & ~ v6_substut1(B,A) & ~ v7_substut1(B,A) ) & ~ ( ~ v2_substut1(C,A) & ~ v4_substut1(C,A) & ~ v5_substut1(C,A) & ~ v6_substut1(C,A) & ~ v7_substut1(C,A) ) ) => ~ ( ~ v2_substut1(k21_substut1(A,B,C),A) & ~ v4_substut1(k21_substut1(A,B,C),A) & ~ v5_substut1(k21_substut1(A,B,C),A) & ~ v6_substut1(k21_substut1(A,B,C),A) & ~ v7_substut1(k21_substut1(A,B,C),A) ) ) ) ) & ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ! [D] : ( m1_substut1(D,A,k25_substut1(A,C,B)) => ( ( v3_substut1(k25_substut1(A,C,B),A) & ~ ( ~ v2_substut1(C,A) & ~ v4_substut1(C,A) & ~ v5_substut1(C,A) & ~ v6_substut1(C,A) & ~ v7_substut1(C,A) ) ) => ~ ( ~ v2_substut1(k24_substut1(A,k25_substut1(A,C,B),D),A) & ~ v4_substut1(k24_substut1(A,k25_substut1(A,C,B),D),A) & ~ v5_substut1(k24_substut1(A,k25_substut1(A,C,B),D),A) & ~ v6_substut1(k24_substut1(A,k25_substut1(A,C,B),D),A) & ~ v7_substut1(k24_substut1(A,k25_substut1(A,C,B),D),A) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ~ ( ~ v2_substut1(B,A) & ~ v4_substut1(B,A) & ~ v5_substut1(B,A) & ~ v6_substut1(B,A) & ~ v7_substut1(B,A) ) ) ) ) )).
fof(s1_tarski__e3_9__coh_sp,axiom,( ! [A] : ( ! [B] : ! [C] : ! [D] : ( ( k1_tarski(B) = C & k1_tarski(B) = D ) => C = D ) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_hidden(D,A) & k1_tarski(D) = C ) ) ) )).
fof(s1_tarski__e4_67_1__circcmb3,axiom,( ! [A] : ( ! [B] : ! [C] : ! [D] : ( ( ? [E] : ( E = B & C = k6_classes1(E) ) & ? [F] : ( F = B & D = k6_classes1(F) ) ) => C = D ) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_hidden(D,A) & ? [G] : ( G = D & C = k6_classes1(G) ) ) ) ) )).
fof(s1_tarski__e5_10_3_1__zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) & m1_subset_1(C,A) ) => ( ! [D] : ! [E] : ! [F] : ( ( ? [G] : ( v3_ordinal1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & r2_tarski(G,B) & r2_hidden(D,k1_zf_colla(A,G)) & k9_xtuple_0(H) = k1_zf_colla(A,G) & ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k1_zf_colla(A,G)) => k1_funct_1(H,I) = k7_relat_1(H,I) ) ) & E = k1_funct_1(H,D) ) ) & ? [J] : ( v3_ordinal1(J) & ? [K] : ( v1_relat_1(K) & v1_funct_1(K) & r2_tarski(J,B) & r2_hidden(D,k1_zf_colla(A,J)) & k9_xtuple_0(K) = k1_zf_colla(A,J) & ! [L] : ( m1_subset_1(L,A) => ( r2_tarski(L,k1_zf_colla(A,J)) => k1_funct_1(K,L) = k7_relat_1(K,L) ) ) & F = k1_funct_1(K,D) ) ) ) => E = F ) => ? [D] : ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( r2_hidden(F,C) & ? [M] : ( v3_ordinal1(M) & ? [N] : ( v1_relat_1(N) & v1_funct_1(N) & r2_tarski(M,B) & r2_hidden(F,k1_zf_colla(A,M)) & k9_xtuple_0(N) = k1_zf_colla(A,M) & ! [O] : ( m1_subset_1(O,A) => ( r2_tarski(O,k1_zf_colla(A,M)) => k1_funct_1(N,O) = k7_relat_1(N,O) ) ) & E = k1_funct_1(N,F) ) ) ) ) ) ) )).
fof(s1_tarski__e5_21__classes1,axiom,( ! [A] : ! [B] : ( ! [C] : ! [D] : ! [E] : ( ( ? [F] : ( v3_ordinal1(F) & D = F & r2_hidden(C,k3_classes1(A,k1_ordinal1(F))) & ~ r2_hidden(C,k3_classes1(A,F)) ) & ? [G] : ( v3_ordinal1(G) & E = G & r2_hidden(C,k3_classes1(A,k1_ordinal1(G))) & ~ r2_hidden(C,k3_classes1(A,G)) ) ) => D = E ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( r2_hidden(E,B) & ? [H] : ( v3_ordinal1(H) & D = H & r2_hidden(E,k3_classes1(A,k1_ordinal1(H))) & ~ r2_hidden(E,k3_classes1(A,H)) ) ) ) ) )).
fof(s1_tarski__e5_65_6__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ! [E] : ! [F] : ( ( ? [G] : ( v3_ordinal1(G) & E = G & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v5_ordinal1(H) & D = k1_funct_1(C,a_3_1_orders_1(A,B,H)) & k9_xtuple_0(H) = G & ! [I] : ( v3_ordinal1(I) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v5_ordinal1(J) ) => ( ( r2_tarski(I,G) & J = k5_relat_1(H,I) ) => k1_funct_1(H,I) = k1_funct_1(C,a_3_1_orders_1(A,B,J)) ) ) ) ) ) & ? [K] : ( v3_ordinal1(K) & F = K & ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v5_ordinal1(L) & D = k1_funct_1(C,a_3_1_orders_1(A,B,L)) & k9_xtuple_0(L) = K & ! [M] : ( v3_ordinal1(M) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v5_ordinal1(N) ) => ( ( r2_tarski(M,K) & N = k5_relat_1(L,M) ) => k1_funct_1(L,M) = k1_funct_1(C,a_3_1_orders_1(A,B,N)) ) ) ) ) ) ) => E = F ) => ? [D] : ! [E] : ( r2_hidden(E,D) <=> ? [F] : ( r2_hidden(F,B) & ? [O] : ( v3_ordinal1(O) & E = O & ? [P] : ( v1_relat_1(P) & v1_funct_1(P) & v5_ordinal1(P) & F = k1_funct_1(C,a_3_1_orders_1(A,B,P)) & k9_xtuple_0(P) = O & ! [Q] : ( v3_ordinal1(Q) => ! [R] : ( ( v1_relat_1(R) & v1_funct_1(R) & v5_ordinal1(R) ) => ( ( r2_tarski(Q,O) & R = k5_relat_1(P,Q) ) => k1_funct_1(P,Q) = k1_funct_1(C,a_3_1_orders_1(A,B,R)) ) ) ) ) ) ) ) ) ) )).
fof(s1_tarski__e6_52__classes1,axiom,( ! [A] : ( ! [B] : ! [C] : ! [D] : ( ( ? [E] : ( v3_ordinal1(E) & C = E & ~ r2_hidden(B,k4_classes1(E)) & r2_hidden(B,k4_classes1(k1_ordinal1(E))) ) & ? [F] : ( v3_ordinal1(F) & D = F & ~ r2_hidden(B,k4_classes1(F)) & r2_hidden(B,k4_classes1(k1_ordinal1(F))) ) ) => C = D ) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_hidden(D,A) & ? [G] : ( v3_ordinal1(G) & C = G & ~ r2_hidden(D,k4_classes1(G)) & r2_hidden(D,k4_classes1(k1_ordinal1(G))) ) ) ) ) )).
fof(s1_tex_2__e11_12__tsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,k7_subset_1(u1_struct_0(A),k2_struct_0(A),k3_tex_4(A,B))) & r2_tarski(E,D) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,C) => ( r2_tarski(k1_funct_1(D,E),k7_subset_1(u1_struct_0(A),k2_struct_0(A),k3_tex_4(A,B))) & r2_tarski(k1_funct_1(D,E),E) ) ) ) ) ) ) )).
fof(s1_tex_2__e12_93__tex_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,k7_subset_1(u1_struct_0(A),k2_struct_0(A),k2_pre_topc(A,B))) & r2_tarski(E,D) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,C) => ( r2_tarski(k1_funct_1(D,E),k7_subset_1(u1_struct_0(A),k2_struct_0(A),k2_pre_topc(A,B))) & r2_tarski(k1_funct_1(D,E),E) ) ) ) ) ) ) )).
fof(s1_toler_1__e3_32__toler_1,axiom,( ! [A] : ( ( ! [B] : ( r2_tarski(B,k3_tarski(A)) => ? [C] : ( r2_tarski(C,A) & r2_tarski(B,C) & r2_tarski(B,C) ) ) & ! [B] : ! [D] : ( ( r2_tarski(B,k3_tarski(A)) & r2_tarski(D,k3_tarski(A)) & ? [E] : ( r2_tarski(E,A) & r2_tarski(B,E) & r2_tarski(D,E) ) ) => ? [F] : ( r2_tarski(F,A) & r2_tarski(D,F) & r2_tarski(B,F) ) ) ) => ? [B] : ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,k3_tarski(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(A)))) & ! [D] : ! [G] : ( ( r2_tarski(D,k3_tarski(A)) & r2_tarski(G,k3_tarski(A)) ) => ( r2_hidden(k4_tarski(D,G),B) <=> ? [H] : ( r2_tarski(H,A) & r2_tarski(D,H) & r2_tarski(G,H) ) ) ) ) ) )).
fof(s1_topgen_4__e4_68_1__topgen_4,axiom,( v4_card_3(a_0_1_topgen_4) )).
fof(s1_topreal1__e11_16__jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => a_3_3_jordan_a(A,B,C) = k2_xboole_0(a_2_12_jordan_a(A,B),a_2_13_jordan_a(A,C)) ) )).
fof(s1_topreal1__e13_8_1__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(A)) ) => a_4_2_msscyc_2(A,B,C,D) = k2_xboole_0(a_4_0_msscyc_2(A,B,C,D),a_4_3_msscyc_2(A,B,C,D)) ) )).
fof(s1_topreal1__e1_20_1__topreal1,axiom,( a_0_12_topreal1 = k2_xboole_0(a_0_2_topreal1,a_0_3_topreal1) )).
fof(s1_topreal1__e1_20_2__topreal1,axiom,( a_0_11_topreal1 = k2_xboole_0(a_0_0_topreal1,a_0_1_topreal1) )).
fof(s1_topreal1__e1_20__topreal1,axiom,( a_0_10_topreal1 = k2_xboole_0(a_0_11_topreal1,a_0_12_topreal1) )).
fof(s1_topreal1__e9_17__jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => a_2_14_jordan_a(A,B) = k2_xboole_0(a_2_12_jordan_a(A,B),a_1_0_jordan_a(A)) ) )).
fof(s1_transgeo__e6_27__pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ( ( ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & ! [F] : ( m1_pencil_2(F,A,B) => ! [G] : ( ( ~ v13_pencil_1(G) & v16_pencil_1(G,A) & m3_pboole(G,A,k12_pralg_1(A,B)) ) => ! [H] : ( ( ~ v13_pencil_1(H) & v16_pencil_1(H,A) & m3_pboole(H,A,k12_pralg_1(A,B)) ) => ( ( F = k4_card_3(G) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,F) = k4_card_3(H) & k3_pencil_1(A,G) = D ) => k3_pencil_1(A,H) = E ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & ! [I] : ( m1_pencil_2(I,A,B) => ! [J] : ( ( ~ v13_pencil_1(J) & v16_pencil_1(J,A) & m3_pboole(J,A,k12_pralg_1(A,B)) ) => ! [K] : ( ( ~ v13_pencil_1(K) & v16_pencil_1(K,A) & m3_pboole(K,A,k12_pralg_1(A,B)) ) => ( ( I = k4_card_3(J) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,I) = k4_card_3(K) & k3_pencil_1(A,J) = E ) => k3_pencil_1(A,K) = D ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [L] : ( m1_subset_1(L,A) => ( ( ! [M] : ( m1_pencil_2(M,A,B) => ! [N] : ( ( ~ v13_pencil_1(N) & v16_pencil_1(N,A) & m3_pboole(N,A,k12_pralg_1(A,B)) ) => ! [O] : ( ( ~ v13_pencil_1(O) & v16_pencil_1(O,A) & m3_pboole(O,A,k12_pralg_1(A,B)) ) => ( ( M = k4_card_3(N) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,M) = k4_card_3(O) & k3_pencil_1(A,N) = D ) => k3_pencil_1(A,O) = E ) ) ) ) & ! [P] : ( m1_pencil_2(P,A,B) => ! [Q] : ( ( ~ v13_pencil_1(Q) & v16_pencil_1(Q,A) & m3_pboole(Q,A,k12_pralg_1(A,B)) ) => ! [R] : ( ( ~ v13_pencil_1(R) & v16_pencil_1(R,A) & m3_pboole(R,A,k12_pralg_1(A,B)) ) => ( ( P = k4_card_3(Q) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,P) = k4_card_3(R) & k3_pencil_1(A,Q) = L ) => k3_pencil_1(A,R) = E ) ) ) ) ) => D = L ) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [L] : ( m1_subset_1(L,A) => ( ( ! [S] : ( m1_pencil_2(S,A,B) => ! [T] : ( ( ~ v13_pencil_1(T) & v16_pencil_1(T,A) & m3_pboole(T,A,k12_pralg_1(A,B)) ) => ! [U] : ( ( ~ v13_pencil_1(U) & v16_pencil_1(U,A) & m3_pboole(U,A,k12_pralg_1(A,B)) ) => ( ( S = k4_card_3(T) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,S) = k4_card_3(U) & k3_pencil_1(A,T) = D ) => k3_pencil_1(A,U) = E ) ) ) ) & ! [V] : ( m1_pencil_2(V,A,B) => ! [W] : ( ( ~ v13_pencil_1(W) & v16_pencil_1(W,A) & m3_pboole(W,A,k12_pralg_1(A,B)) ) => ! [X] : ( ( ~ v13_pencil_1(X) & v16_pencil_1(X,A) & m3_pboole(X,A,k12_pralg_1(A,B)) ) => ( ( V = k4_card_3(W) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,V) = k4_card_3(X) & k3_pencil_1(A,W) = D ) => k3_pencil_1(A,X) = L ) ) ) ) ) => E = L ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,A) & v3_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [E] : ( m1_subset_1(E,A) => ! [L] : ( m1_subset_1(L,A) => ( k3_funct_2(A,A,D,E) = L <=> ! [Y] : ( m1_pencil_2(Y,A,B) => ! [Z] : ( ( ~ v13_pencil_1(Z) & v16_pencil_1(Z,A) & m3_pboole(Z,A,k12_pralg_1(A,B)) ) => ! [A1] : ( ( ~ v13_pencil_1(A1) & v16_pencil_1(A1,A) & m3_pboole(A1,A,k12_pralg_1(A,B)) ) => ( ( Y = k4_card_3(Z) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,Y) = k4_card_3(A1) & k3_pencil_1(A,Z) = E ) => k3_pencil_1(A,A1) = L ) ) ) ) ) ) ) ) ) ) )).
fof(s1_transgeo__e7_19__translac,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ( ( ~ r1_aff_1(A,B,C,D) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) | ( r1_aff_1(A,B,C,D) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,F) & r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,F,C,G) & r2_analoaf(A,F,G,D,E) & r2_analoaf(A,F,D,G,E) ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ( ( ~ r1_aff_1(A,B,C,E) & r2_analoaf(A,B,C,E,D) & r2_analoaf(A,B,E,C,D) ) | ( r1_aff_1(A,B,C,E) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,H) & r2_analoaf(A,B,C,H,I) & r2_analoaf(A,B,H,C,I) & r2_analoaf(A,H,I,E,D) & r2_analoaf(A,H,E,I,D) ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( ( ( ~ r1_aff_1(A,B,C,D) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) | ( r1_aff_1(A,B,C,D) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,K) & r2_analoaf(A,B,C,K,L) & r2_analoaf(A,B,K,C,L) & r2_analoaf(A,K,L,D,E) & r2_analoaf(A,K,D,L,E) ) ) ) ) & ( ( ~ r1_aff_1(A,B,C,J) & r2_analoaf(A,B,C,J,E) & r2_analoaf(A,B,J,C,E) ) | ( r1_aff_1(A,B,C,J) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,M) & r2_analoaf(A,B,C,M,N) & r2_analoaf(A,B,M,C,N) & r2_analoaf(A,M,N,J,E) & r2_analoaf(A,M,J,N,E) ) ) ) ) ) => D = J ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( ( ( ~ r1_aff_1(A,B,C,D) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) ) | ( r1_aff_1(A,B,C,D) & ? [O] : ( m1_subset_1(O,u1_struct_0(A)) & ? [P] : ( m1_subset_1(P,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,O) & r2_analoaf(A,B,C,O,P) & r2_analoaf(A,B,O,C,P) & r2_analoaf(A,O,P,D,E) & r2_analoaf(A,O,D,P,E) ) ) ) ) & ( ( ~ r1_aff_1(A,B,C,D) & r2_analoaf(A,B,C,D,J) & r2_analoaf(A,B,D,C,J) ) | ( r1_aff_1(A,B,C,D) & ? [Q] : ( m1_subset_1(Q,u1_struct_0(A)) & ? [R] : ( m1_subset_1(R,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,Q) & r2_analoaf(A,B,C,Q,R) & r2_analoaf(A,B,Q,C,R) & r2_analoaf(A,Q,R,D,J) & r2_analoaf(A,Q,D,R,J) ) ) ) ) ) => E = J ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,E) = J <=> ( ( ~ r1_aff_1(A,B,C,E) & r2_analoaf(A,B,C,E,J) & r2_analoaf(A,B,E,C,J) ) | ( r1_aff_1(A,B,C,E) & ? [S] : ( m1_subset_1(S,u1_struct_0(A)) & ? [T] : ( m1_subset_1(T,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,S) & r2_analoaf(A,B,C,S,T) & r2_analoaf(A,B,S,C,T) & r2_analoaf(A,S,T,E,J) & r2_analoaf(A,S,E,T,J) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_transgeo__e8_29__homothet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ( ( r2_tarski(E,D) & E = F ) | ( ~ r2_tarski(E,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(G,D) & r2_tarski(H,D) & r2_analoaf(A,G,B,H,E) & r2_analoaf(A,G,C,H,F) & r2_aff_1(A,E,F,D) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ( ( r2_tarski(F,D) & F = E ) | ( ~ r2_tarski(F,D) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r2_tarski(I,D) & r2_tarski(J,D) & r2_analoaf(A,I,B,J,F) & r2_analoaf(A,I,C,J,E) & r2_aff_1(A,F,E,D) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( ( ( r2_tarski(E,D) & E = F ) | ( ~ r2_tarski(E,D) & ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & r2_tarski(L,D) & r2_tarski(M,D) & r2_analoaf(A,L,B,M,E) & r2_analoaf(A,L,C,M,F) & r2_aff_1(A,E,F,D) ) ) ) ) & ( ( r2_tarski(K,D) & K = F ) | ( ~ r2_tarski(K,D) & ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ? [O] : ( m1_subset_1(O,u1_struct_0(A)) & r2_tarski(N,D) & r2_tarski(O,D) & r2_analoaf(A,N,B,O,K) & r2_analoaf(A,N,C,O,F) & r2_aff_1(A,K,F,D) ) ) ) ) ) => E = K ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( ( ( r2_tarski(E,D) & E = F ) | ( ~ r2_tarski(E,D) & ? [P] : ( m1_subset_1(P,u1_struct_0(A)) & ? [Q] : ( m1_subset_1(Q,u1_struct_0(A)) & r2_tarski(P,D) & r2_tarski(Q,D) & r2_analoaf(A,P,B,Q,E) & r2_analoaf(A,P,C,Q,F) & r2_aff_1(A,E,F,D) ) ) ) ) & ( ( r2_tarski(E,D) & E = K ) | ( ~ r2_tarski(E,D) & ? [R] : ( m1_subset_1(R,u1_struct_0(A)) & ? [S] : ( m1_subset_1(S,u1_struct_0(A)) & r2_tarski(R,D) & r2_tarski(S,D) & r2_analoaf(A,R,B,S,E) & r2_analoaf(A,R,C,S,K) & r2_aff_1(A,E,K,D) ) ) ) ) ) => F = K ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = K <=> ( ( r2_tarski(F,D) & F = K ) | ( ~ r2_tarski(F,D) & ? [T] : ( m1_subset_1(T,u1_struct_0(A)) & ? [U] : ( m1_subset_1(U,u1_struct_0(A)) & r2_tarski(T,D) & r2_tarski(U,D) & r2_analoaf(A,T,B,U,F) & r2_analoaf(A,T,C,U,K) & r2_aff_1(A,F,K,D) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_transgeo__e9_15__homothet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ( ( ~ r1_aff_1(A,B,C,E) & r1_aff_1(A,B,E,F) & r2_analoaf(A,C,E,D,F) ) | ( r1_aff_1(A,B,C,E) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,G) & r1_aff_1(A,B,G,H) & r2_analoaf(A,C,G,D,H) & r2_analoaf(A,G,E,H,F) & r1_aff_1(A,B,C,F) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ( ( ~ r1_aff_1(A,B,C,F) & r1_aff_1(A,B,F,E) & r2_analoaf(A,C,F,D,E) ) | ( r1_aff_1(A,B,C,F) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,I) & r1_aff_1(A,B,I,J) & r2_analoaf(A,C,I,D,J) & r2_analoaf(A,I,F,J,E) & r1_aff_1(A,B,C,E) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( ( ( ~ r1_aff_1(A,B,C,E) & r1_aff_1(A,B,E,F) & r2_analoaf(A,C,E,D,F) ) | ( r1_aff_1(A,B,C,E) & ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,L) & r1_aff_1(A,B,L,M) & r2_analoaf(A,C,L,D,M) & r2_analoaf(A,L,E,M,F) & r1_aff_1(A,B,C,F) ) ) ) ) & ( ( ~ r1_aff_1(A,B,C,K) & r1_aff_1(A,B,K,F) & r2_analoaf(A,C,K,D,F) ) | ( r1_aff_1(A,B,C,K) & ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ? [O] : ( m1_subset_1(O,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,N) & r1_aff_1(A,B,N,O) & r2_analoaf(A,C,N,D,O) & r2_analoaf(A,N,K,O,F) & r1_aff_1(A,B,C,F) ) ) ) ) ) => E = K ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( ( ( ~ r1_aff_1(A,B,C,E) & r1_aff_1(A,B,E,F) & r2_analoaf(A,C,E,D,F) ) | ( r1_aff_1(A,B,C,E) & ? [P] : ( m1_subset_1(P,u1_struct_0(A)) & ? [Q] : ( m1_subset_1(Q,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,P) & r1_aff_1(A,B,P,Q) & r2_analoaf(A,C,P,D,Q) & r2_analoaf(A,P,E,Q,F) & r1_aff_1(A,B,C,F) ) ) ) ) & ( ( ~ r1_aff_1(A,B,C,E) & r1_aff_1(A,B,E,K) & r2_analoaf(A,C,E,D,K) ) | ( r1_aff_1(A,B,C,E) & ? [R] : ( m1_subset_1(R,u1_struct_0(A)) & ? [S] : ( m1_subset_1(S,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,R) & r1_aff_1(A,B,R,S) & r2_analoaf(A,C,R,D,S) & r2_analoaf(A,R,E,S,K) & r1_aff_1(A,B,C,K) ) ) ) ) ) => F = K ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),E,F) = K <=> ( ( ~ r1_aff_1(A,B,C,F) & r1_aff_1(A,B,F,K) & r2_analoaf(A,C,F,D,K) ) | ( r1_aff_1(A,B,C,F) & ? [T] : ( m1_subset_1(T,u1_struct_0(A)) & ? [U] : ( m1_subset_1(U,u1_struct_0(A)) & ~ r1_aff_1(A,B,C,T) & r1_aff_1(A,B,T,U) & r2_analoaf(A,C,T,D,U) & r2_analoaf(A,T,F,U,K) & r1_aff_1(A,B,C,K) ) ) ) ) ) ) ) ) ) ) )).
fof(s1_trees_2__e3_52__msaterm,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) => ( ( ! [D] : ( m1_trees_1(D,k9_xtuple_0(C)) => ( D = k1_xboole_0 => m1_dtconstr(k5_trees_2(C,D),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) & ! [E] : ( m1_trees_1(E,k9_xtuple_0(C)) => ! [F] : ( v7_ordinal1(F) => ( ( ! [G] : ( m1_trees_1(G,k9_xtuple_0(C)) => ( G = E => m1_dtconstr(k5_trees_2(C,G),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) & r2_tarski(k7_finseq_1(E,k9_finseq_1(F)),k9_xtuple_0(C)) ) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(C)) => ( H = k7_finseq_1(E,k9_finseq_1(F)) => m1_dtconstr(k5_trees_2(C,H),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) ) ) ) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(C)) => ! [I] : ( m1_trees_1(I,k9_xtuple_0(C)) => ( I = E => m1_dtconstr(k5_trees_2(C,I),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) ) ) )).
fof(s1_trees_2__e7_67__ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) & ~ v2_ltlaxio3(C) & v3_ltlaxio3(C) & m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(D,C) ) => ( ( ! [E] : ( m1_trees_1(E,k9_xtuple_0(D)) => ( E = k1_xboole_0 => ( E = k5_numbers | ( r2_tarski(B,k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,E)))) & r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,E)))) ) ) ) ) & ! [F] : ( m1_trees_1(F,k9_xtuple_0(D)) => ! [G] : ( v7_ordinal1(G) => ( ( ! [H] : ( m1_trees_1(H,k9_xtuple_0(D)) => ( H = F => ( H = k5_numbers | ( r2_tarski(B,k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,H)))) & r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,H)))) ) ) ) ) & r2_tarski(k7_finseq_1(F,k9_finseq_1(G)),k9_xtuple_0(D)) ) => ! [I] : ( m1_trees_1(I,k9_xtuple_0(D)) => ( I = k7_finseq_1(F,k9_finseq_1(G)) => ( I = k5_numbers | ( r2_tarski(B,k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,I)))) & r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,I)))) ) ) ) ) ) ) ) ) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(D)) => ! [J] : ( m1_trees_1(J,k9_xtuple_0(D)) => ( J = F => ( J = k5_numbers | ( r2_tarski(B,k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,J)))) & r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),D,J)))) ) ) ) ) ) ) ) )).
fof(s1_trees_2__e8_11_1__qc_lang4,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ? [C] : ( m1_subset_1(C,k9_qc_lang1(A)) & k1_funct_1(k2_qc_lang4(A,B),k1_xboole_0) = C & r2_qc_lang2(A,C,B) ) & ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [E] : ( v7_ordinal1(E) => ( ( ? [F] : ( m1_subset_1(F,k9_qc_lang1(A)) & k1_funct_1(k2_qc_lang4(A,B),D) = F & r2_qc_lang2(A,F,B) ) & r2_tarski(k7_finseq_1(D,k9_finseq_1(E)),k9_xtuple_0(k2_qc_lang4(A,B))) ) => ? [G] : ( m1_subset_1(G,k9_qc_lang1(A)) & k1_funct_1(k2_qc_lang4(A,B),k7_finseq_1(D,k9_finseq_1(E))) = G & r2_qc_lang2(A,G,B) ) ) ) ) ) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ? [H] : ( m1_subset_1(H,k9_qc_lang1(A)) & k1_funct_1(k2_qc_lang4(A,B),D) = H & r2_qc_lang2(A,H,B) ) ) ) ) )).
fof(s1_trees_2__e8_54__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(B,A) ) => ( ( ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( C = k1_funct_1(B,k1_xboole_0) & r2_tarski(k1_xboole_0,k9_xtuple_0(B)) ) => r1_tarski(k10_ltlaxio3(C),k5_setfam_1(k1_hilbert1,k7_ltlaxio3(k10_ltlaxio3(A)))) ) ) & ! [D] : ( m1_trees_1(D,k9_xtuple_0(B)) => ! [E] : ( v7_ordinal1(E) => ( ( ! [F] : ( m1_subset_1(F,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( F = k1_funct_1(B,D) & r2_tarski(D,k9_xtuple_0(B)) ) => r1_tarski(k10_ltlaxio3(F),k5_setfam_1(k1_hilbert1,k7_ltlaxio3(k10_ltlaxio3(A)))) ) ) & r2_tarski(k7_finseq_1(D,k9_finseq_1(E)),k9_xtuple_0(B)) ) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( G = k1_funct_1(B,k7_finseq_1(D,k9_finseq_1(E))) & r2_tarski(k7_finseq_1(D,k9_finseq_1(E)),k9_xtuple_0(B)) ) => r1_tarski(k10_ltlaxio3(G),k5_setfam_1(k1_hilbert1,k7_ltlaxio3(k10_ltlaxio3(A)))) ) ) ) ) ) ) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(B)) => ! [H] : ( m1_subset_1(H,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( H = k1_funct_1(B,D) & r2_tarski(D,k9_xtuple_0(B)) ) => r1_tarski(k10_ltlaxio3(H),k5_setfam_1(k1_hilbert1,k7_ltlaxio3(k10_ltlaxio3(A)))) ) ) ) ) ) )).
fof(s1_trees_9__e4_25__trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) & m1_trees_1(B,A) ) => ( ( ! [C] : ~ ( r2_tarski(C,k1_trees_2(A,B)) & ! [D] : ( v7_ordinal1(D) => C != k8_finseq_1(k4_ordinal1,B,k14_trees_3(D)) ) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k8_finseq_1(k4_ordinal1,B,k14_trees_3(D)),k1_trees_2(A,B)) => ( r1_xxreal_0(D,C) | r2_tarski(k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)),k1_trees_2(A,B)) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)) = k8_finseq_1(k4_ordinal1,B,k14_trees_3(D)) => C = D ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k8_finseq_1(k4_ordinal1,B,k14_trees_3(C)),k1_trees_2(A,B)) <=> ~ r1_xxreal_0(k4_card_1(k1_trees_2(A,B)),C) ) ) ) ) )).
fof(s1_uniroots__e3_61__uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( ~ r1_xxreal_0(A,B) => ( ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(B),k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(B),k5_numbers) = k4_xcmplx_0(1) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(B),C)) ) ) ) ) => ( ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(A),k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(A),k5_numbers) = k4_xcmplx_0(1) ) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(A),D)) ) ) ) ) => ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(A),k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(A),k5_numbers) = k4_xcmplx_0(1) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),k5_uniroots(A),E)) ) ) ) )).
fof(s1_valued_1__e4_5__frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(D,E) & r2_tarski(k8_nat_1(u1_struct_0(A),B,E),C) ) ) => ? [D] : ( m2_valued_0(D,u1_struct_0(A),B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => r2_tarski(k8_nat_1(u1_struct_0(A),D,E),C) ) ) ) ) )).
fof(s1_valued_1__e5_38_1__frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(D,E) & k8_nat_1(u1_struct_0(A),B,E) = C ) ) => ? [D] : ( m2_valued_0(D,u1_struct_0(A),B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k8_nat_1(u1_struct_0(A),D,E) = C ) ) ) ) )).
fof(s1_valued_1__e6_12__frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(D,E) & ~ r2_tarski(k8_nat_1(u1_struct_0(A),B,E),C) ) ) => ? [D] : ( m2_valued_0(D,u1_struct_0(A),B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ r2_tarski(k8_nat_1(u1_struct_0(A),D,E),C) ) ) ) ) )).
fof(s1_waybel11__e29_90_1__waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & ~ v2_struct_0(E) & v4_orders_2(E) & v6_waybel_0(E,A) & v7_waybel_0(E) & l1_waybel_0(E,A) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(E),k4_card_3(k1_funct_6(D))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),k4_card_3(k1_funct_6(D))),u1_struct_0(A)))) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ! [H] : ( m1_subset_1(H,k4_card_3(k1_funct_6(D))) => k2_yellow_0(A,k2_relset_1(u1_struct_0(A),k3_waybel_5(B,u1_struct_0(A),C,D,k2_waybel_5(B,u1_struct_0(A),C,D),H))) = k2_yellow_0(A,a_8_0_waybel11(A,B,C,D,E,F,G,H)) ) ) => a_4_3_waybel11(A,B,C,D) = a_6_0_waybel11(A,B,C,D,E,F) ) ) )).
fof(s1_waybel17__e7_60__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_10_waybel17(A,D)) = a_4_12_waybel17(A,B,C,D) ) ) )).
fof(s1_waybel19__e5_52__waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v1_waybel19(A) & l1_waybel_9(A) ) => ( ( ? [B] : ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_waybel11(C,A) ) ) ) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_waybel11(C,A) ) ) => v3_waybel11(k5_setfam_1(u1_struct_0(A),B),A) ) ) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_waybel11(B,A) & v3_waybel11(C,A) ) => v3_waybel11(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) & v3_waybel11(k2_struct_0(A),A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => v3_waybel11(B,A) ) ) ) ) )).
fof(s1_waybel19__e7_53__waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ( ( ? [B] : ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_waybel11(C,A) ) ) ) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_waybel11(C,A) ) ) => v3_waybel11(k5_setfam_1(u1_struct_0(A),B),A) ) ) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_waybel11(B,A) & v3_waybel11(C,A) ) => v3_waybel11(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) & v3_waybel11(k2_struct_0(A),A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => v3_waybel11(B,A) ) ) ) ) )).
fof(s1_waybel24__e2_9__waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_0_waybel24(A,D)) = a_4_13_waybel24(A,B,C,D) ) ) )).
fof(s1_waybel30__e1_46_2_1__waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v4_waybel11(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => a_1_10_waybel30(A) = k1_xboole_0 ) )).
fof(s1_waybel30__e5_46_2__waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v4_waybel11(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => a_1_11_waybel30(A) = k1_xboole_0 ) )).
fof(s1_waybel31__e20_14_2__waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v2_pre_topc(B) & v2_waybel19(B) & m1_yellow_9(B,A) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ( E = a_4_1_waybel31(A,B,C,D) => k4_waybel_0(B,k5_setfam_1(u1_struct_0(B),E)) = k3_tarski(a_4_0_waybel31(A,B,C,D)) ) ) ) )).
fof(s1_waybel_0__e1_34_1__waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( r1_waybel_0(A,B,a_3_0_waybel_0(A,B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,D,E) => r1_orders_2(A,k2_waybel_0(A,B,C),k2_waybel_0(A,B,E)) ) ) ) ) ) )).
fof(s1_waybel_0__e1_35_1__waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( r1_waybel_0(A,B,a_3_1_waybel_0(A,B,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,D,E) => r1_orders_2(A,k2_waybel_0(A,B,E),k2_waybel_0(A,B,C)) ) ) ) ) ) )).
fof(s1_waybel_6__e4_16__waybel_6,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r1_waybel_3(A,D,C) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & E = k1_funct_1(C,D) & r1_waybel_3(A,E,D) ) ) ) ) ) ) ) )).
fof(s1_wellfnd1__e2_24_2__wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_rfunct_3(u1_struct_0(A),B))) & ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) ) => ( r2_tarski(E,D) <=> ( v12_waybel_0(k1_relset_1(u1_struct_0(A),E),A) & ! [F] : ( r2_tarski(F,k1_relset_1(u1_struct_0(A),E)) => k1_funct_1(E,F) = k1_funct_1(C,k4_tarski(F,k2_partfun1(u1_struct_0(A),B,E,k1_wellord1(u1_orders_2(A),F)))) ) ) ) ) ) ) )).
fof(s1_wellset1__e2_6__wellset1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [C] : ! [D] : ( v1_relat_1(D) => ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(B),k3_tarski(B)))) & v2_wellord1(D) & ! [E] : ( r2_tarski(E,k1_relat_1(D)) => ( r2_tarski(k1_wellord1(D,E),B) & k1_funct_1(A,k1_wellord1(D,E)) = E ) ) ) ) ) ) )).
fof(s1_xboole_0__e10_24_1__graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & ~ v1_xboole_0(B) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,u4_struct_0(A)) & r2_tarski(k1_funct_1(u1_graph_1(A),D),B) & r2_tarski(k1_funct_1(u2_graph_1(A),D),B) ) ) ) )).
fof(s1_xboole_0__e14_24__classes2,axiom,( ! [A] : ! [B] : ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k2_ordinal1(A)) & ? [E] : ( r2_tarski(E,B) & D = k6_classes1(E) ) ) ) )).
fof(s1_xboole_0__e1_103_1__zfmisc_1,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k3_tarski(A)) & ? [D] : ( C = D & ? [E] : ( r2_hidden(E,D) & r2_hidden(E,A) ) ) ) ) )).
fof(s1_xboole_0__e1_17__card_4,axiom,( ! [A] : ( v1_card_1(A) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k4_partfun1(k2_zfmisc_1(A,A),A)) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & D = C & v2_funct_1(D) & k9_xtuple_0(D) = k2_zfmisc_1(k10_xtuple_0(D),k10_xtuple_0(D)) ) ) ) ) )).
fof(s1_xboole_0__e1_1__ortsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k2_zfmisc_1(A,A)) & ? [E] : ( m1_subset_1(E,A) & ? [F] : ( m1_subset_1(F,A) & D = k1_domain_1(A,A,E,F) & F = B ) ) ) ) ) )).
fof(s1_xboole_0__e1_27_1_1__group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ? [D] : ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,A) & ? [F] : ( ~ v2_struct_0(F) & v2_group_1(F) & l3_algstr_0(F) & ? [G] : ( m1_subset_1(G,u1_struct_0(F)) & F = k1_funct_1(B,E) & G = k1_funct_1(C,E) & G != k1_group_1(F) ) ) ) ) ) )).
fof(s1_xboole_0__e1_28__card_3,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,A) & v1_relat_1(C) & v1_funct_1(C) ) ) )).
fof(s1_xboole_0__e1_33_4__equation,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k2_equation(A,B,o_2_2_equation(A,B))) & ? [E] : ( v3_msualg_1(E,A) & v4_msualg_1(E,A) & m1_msualg_2(E,A,B) & D = E & v3_msafree2(E,A) ) ) ) ) )).
fof(s1_xboole_0__e1_41__rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rusub_1(B,A) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k3_rusub_2(A)) & ? [E] : ( v1_bhsp_1(E) & m1_rusub_1(E,A) & D = E & k2_rusub_2(A,B,E) = k1_rusub_1(A) ) ) ) ) )).
fof(s1_xboole_0__e1_42_2__yellow21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,B) => r2_hidden(k4_tarski(E,D),u1_orders_2(A)) ) ) ) ) ) )).
fof(s1_xboole_0__e1_4__symsp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_tarski(k5_numbers)) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers))) & ? [D] : ( m1_subset_1(D,k1_tarski(k5_numbers)) & ? [E] : ( m1_subset_1(E,k1_tarski(k5_numbers)) & C = k1_domain_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers),D,E) & E = A ) ) ) ) ) )).
fof(s1_xboole_0__e1_67_5__circcmb3,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k1_relat_1(A)) & B != D & r2_hidden(k4_tarski(B,D),A) ) ) ) )).
fof(s1_xboole_0__e1_6__urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A)))) & ? [F] : ( v7_ordinal1(F) & m1_urysohn3(E,A,B,C,F) ) ) ) ) )).
fof(s1_xboole_0__e1_6__zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,A) & ! [D] : ( v3_ordinal1(D) => ~ r2_hidden(C,k1_zf_colla(A,D)) ) ) ) ) )).
fof(s1_xboole_0__e24_7__wellset1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ? [D] : ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,k2_zfmisc_1(A,A)) & ? [F] : ? [G] : ( E = k4_tarski(F,G) & r2_hidden(k4_tarski(k1_funct_1(C,F),k1_funct_1(C,G)),B) ) ) ) ) )).
fof(s1_xboole_0__e2_16__wellord2,axiom,( ! [A] : ( v1_relat_1(A) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k1_relat_1(A)) & ? [D] : ( v3_ordinal1(D) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),k1_wellord2(D)) ) ) ) ) )).
fof(s1_xboole_0__e2_21__classes1,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k1_classes1(A)) & ? [D] : ( v3_ordinal1(D) & r2_hidden(C,k3_classes1(A,D)) ) ) ) )).
fof(s1_xboole_0__e2_2__funct_4,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k3_tarski(k3_tarski(A))) & ? [D] : r2_hidden(k4_tarski(C,D),A) ) ) )).
fof(s1_xboole_0__e2_46_2_1__card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k1_funct_2(k1_card_1(k1_funct_1(A,B)),k1_funct_1(A,B))) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & D = E & k10_xtuple_0(E) = k1_funct_1(A,B) ) ) ) ) )).
fof(s1_xboole_0__e2_68_1__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v6_armstrng(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ? [D] : ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,B) & ? [F] : ( m1_subset_1(F,k4_armstrng(A)) & E = F & r3_armstrng(A,F,k6_armstrng(A,C,C)) ) ) ) ) )).
fof(s1_xboole_0__e32_33__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(D,u1_struct_0(A)) ) => ? [F] : ! [G] : ( r2_hidden(G,F) <=> ( r2_hidden(G,C) & ? [H] : ( m1_msualg_2(H,A,B) & H = G & r2_hidden(E,k1_funct_1(u3_msualg_1(A,H),D)) ) ) ) ) )).
fof(s1_xboole_0__e32_65__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_ordinal1(D) ) => ? [E] : ! [F] : ( r2_hidden(F,E) <=> ( r2_hidden(F,B) & ? [G] : ( v3_ordinal1(G) & r2_tarski(G,D) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v5_ordinal1(H) & F = k1_funct_1(C,a_3_1_orders_1(A,B,H)) & k9_xtuple_0(H) = G & ! [I] : ( v3_ordinal1(I) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v5_ordinal1(J) ) => ( ( r2_tarski(I,G) & J = k5_relat_1(H,I) ) => k1_funct_1(H,I) = k1_funct_1(C,a_3_1_orders_1(A,B,J)) ) ) ) ) ) ) ) ) )).
fof(s1_xboole_0__e3_39__wellord1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k1_relat_1(A)) & r2_hidden(k4_tarski(D,k1_funct_1(B,D)),A) ) ) ) )).
fof(s1_xboole_0__e3_42__ordinal1,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,A) & v3_ordinal1(C) ) ) )).
fof(s1_xboole_0__e3_43__ordinal1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k1_ordinal1(B)) & ~ r2_hidden(D,A) ) ) ) )).
fof(s1_xboole_0__e3_52__classes1,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k1_classes1(A)) & ? [D] : ( v3_ordinal1(D) & r2_hidden(C,k4_classes1(D)) ) ) ) )).
fof(s1_xboole_0__e3_58__wellord1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k1_relat_1(A)) & ? [E] : ( r2_hidden(E,k1_relat_1(B)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,D)),k2_wellord1(B,k1_wellord1(B,E))) ) ) ) ) )).
fof(s1_xboole_0__e3_73__orders_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k9_setfam_1(k2_zfmisc_1(B,B))) & ? [E] : ( v1_relat_1(E) & D = E & r1_tarski(A,E) & r2_orders_1(E,B) & k1_relat_1(E) = B ) ) ) ) )).
fof(s1_xboole_0__e48_7__wellset1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ? [D] : ! [E] : ( r2_hidden(E,D) <=> ( r2_hidden(E,k2_zfmisc_1(A,A)) & ? [F] : ? [G] : ( E = k4_tarski(F,G) & r2_hidden(k4_tarski(k1_funct_1(C,F),k1_funct_1(C,G)),k2_wellord1(B,k10_xtuple_0(C))) ) ) ) ) )).
fof(s1_xboole_0__e4_132__waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,u1_struct_0(A)) & ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & r2_yellow_0(A,E) & D = k2_yellow_0(A,E) ) ) ) ) )).
fof(s1_xboole_0__e4_135__waybel_0,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,u1_struct_0(A)) & ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & r1_yellow_0(A,E) & D = k1_yellow_0(A,E) ) ) ) ) )).
fof(s1_xboole_0__e4_21__card_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,A) & ! [E] : ~ ( E = k1_funct_1(B,D) & r2_hidden(D,E) ) ) ) ) )).
fof(s1_xboole_0__e4_29__classes2,axiom,( ! [A] : ! [B] : ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k2_ordinal1(B)) & ? [E] : ( r2_tarski(E,A) & D = k6_classes1(E) ) ) ) )).
fof(s1_xboole_0__e4_2__funct_4,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,k3_tarski(k3_tarski(A))) & ? [D] : r2_hidden(k4_tarski(D,C),A) ) ) )).
fof(s1_xboole_0__e4_7__waybel21,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,u1_struct_0(A)) & ? [E] : ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & r2_yellow_0(A,E) & D = k2_yellow_0(A,E) ) ) ) ) )).
fof(s1_xboole_0__e5_12__wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(A) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,k1_relat_1(A)) & ~ r2_hidden(k4_tarski(D,B),A) ) ) ) )).
fof(s1_xboole_0__e5_4_2__card_5,axiom,( ! [A] : ( v1_card_1(A) => ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,A) & ? [D] : ( v1_card_1(D) & D = C & ~ v1_finset_1(D) ) ) ) ) )).
fof(s1_xboole_0__e5_69_8_1__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v6_armstrng(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ? [E] : ! [F] : ( r2_hidden(F,E) <=> ( r2_hidden(F,B) & ? [G] : ( m1_subset_1(G,k4_armstrng(A)) & F = G & r3_armstrng(A,G,k6_armstrng(A,C,D)) ) ) ) ) )).
fof(s1_xboole_0__e6_24__wellord2,axiom,( ! [A] : ? [B] : ! [C] : ( r2_hidden(C,B) <=> ( r2_hidden(C,A) & v3_ordinal1(C) ) ) )).
fof(s1_xboole_0__e9_28__projred1,axiom,( ! [A] : ! [B] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) & m1_subset_1(B,u2_incsp_1(A)) ) => ? [C] : ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & D = E & r1_incsp_1(A,E,B) ) ) ) ) )).
fof(s1_xfamily__e10_34_5_1_1_5_1_2__taxonom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,B) & r1_tarski(E,C) ) ) ) )).
fof(s1_xfamily__e13_54__card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k9_xtuple_0(A)) & ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,D) & C = D ) => r1_tarski(k1_funct_1(A,E),k1_funct_1(A,D)) ) ) ) ) ) ) )).
fof(s1_xfamily__e14_34__taxonom2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k9_setfam_1(k1_partit1(A))) & ! [E] : ( r2_tarski(E,D) => r1_tarski(E,B) ) & ! [E] : ! [F] : ~ ( r2_tarski(E,D) & r2_tarski(F,D) & ~ r1_setfam_1(E,F) & ~ r1_setfam_1(F,E) ) ) ) ) )).
fof(s1_xfamily__e1_15__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k1_zfmisc_1(u1_struct_0(B))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & F = E & r1_tarski(C,F) & v1_vectsp_7(F,A,B) ) ) ) ) )).
fof(s1_xfamily__e1_17__rusub_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & r1_tarski(B,E) & v1_rlvect_3(E,A) ) ) ) ) )).
fof(s1_xfamily__e1_19_1_1__taxonom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_taxonom2(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,B) & r1_tarski(E,C) ) ) ) )).
fof(s1_xfamily__e1_24__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k1_zfmisc_1(u1_struct_0(B))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & F = E & r1_tarski(C,F) & v1_vectsp_7(F,A,B) ) ) ) ) )).
fof(s1_xfamily__e1_26__toler_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_toler_1(C,A,B) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k1_zfmisc_1(A)) & m1_toler_1(E,A,B) & ? [F] : ( E = F & r1_tarski(C,F) ) ) ) ) )).
fof(s1_xfamily__e1_2__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(A)) & ~ r1_xboole_0(C,A) ) ) ) )).
fof(s1_xfamily__e1_33__rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & r1_tarski(B,E) & v1_rlvect_3(E,A) ) ) ) ) )).
fof(s1_xfamily__e1_3__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(A)) & ? [D] : ( r2_tarski(D,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e1_40__rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k3_rlsub_2(A)) & ? [E] : ( v1_rlvect_1(E) & m1_rlsub_1(E,A) & D = E & k2_rlsub_2(A,B,E) = k1_rlsub_1(A) ) ) ) ) )).
fof(s1_xfamily__e1_41__trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_trees_2(B,A) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(A)) & m1_trees_2(D,A) & r1_tarski(B,D) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( r2_tarski(E,D) => r1_tarski(k1_trees_1(E),D) ) ) ) ) ) )).
fof(s1_xfamily__e1_4__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(A)) & ? [D] : ? [E] : ( r2_tarski(D,E) & r2_tarski(E,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e1_5__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(A)) & ? [D] : ? [E] : ? [F] : ( r2_tarski(D,E) & r2_tarski(E,F) & r2_tarski(F,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e1_68__topgen_4,axiom,( ? [A] : ! [B] : ( r2_tarski(B,A) <=> ( r2_tarski(B,k1_zfmisc_1(k3_numbers)) & ? [C] : ( m1_subset_1(C,k3_numbers) & k6_domain_1(k3_numbers,C) = B ) ) ) )).
fof(s1_xfamily__e1_6__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(A)) & ? [D] : ? [E] : ? [F] : ? [G] : ( r2_tarski(D,E) & r2_tarski(E,F) & r2_tarski(F,G) & r2_tarski(G,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e2_14__zmodul03,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & r1_tarski(B,E) & v1_zmodul02(E,A) ) ) ) ) )).
fof(s1_xfamily__e2_18__rusub_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & r1_tarski(E,B) & v1_rlvect_3(E,A) ) ) ) ) )).
fof(s1_xfamily__e2_25__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k1_zfmisc_1(u1_struct_0(B))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & F = E & r1_tarski(F,C) & v1_vectsp_7(F,A,B) ) ) ) ) )).
fof(s1_xfamily__e2_26_1_2_1_1_2__taxonom2,axiom,( ! [A] : ! [B] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_taxonom2(B,A) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,B) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) & r2_tarski(E,B) & r1_tarski(E,D) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(A)) => ( ( r1_tarski(D,F) & r2_tarski(F,B) ) => F = A ) ) ) ) ) ) )).
fof(s1_xfamily__e2_34_5_1_1__taxonom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) ) => ? [E] : ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,B) & ? [G] : ( r2_tarski(G,F) & r1_tarski(D,G) & C != G ) ) ) ) )).
fof(s1_xfamily__e2_34__rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & r1_tarski(E,B) & v1_rlvect_3(E,A) ) ) ) ) )).
fof(s1_xfamily__e3_16__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k1_zfmisc_1(u1_struct_0(B))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & F = E & r1_tarski(F,C) & v1_vectsp_7(F,A,B) ) ) ) ) )).
fof(s1_xfamily__e3_18__borsuk_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k9_setfam_1(B)) & ? [E] : ( r2_tarski(E,B) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = D & v3_pre_topc(F,A) & r2_tarski(E,F) & r1_tarski(F,B) ) ) ) ) ) )).
fof(s1_xfamily__e3_20__rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k9_setfam_1(u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = E & r1_tarski(B,F) & r1_tarski(F,C) & v1_rlvect_3(F,A) ) ) ) ) )).
fof(s1_xfamily__e3_23__finset_1,axiom,( ! [A] : ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k9_setfam_1(A)) & ? [D] : ( D = C & v1_finset_1(k3_tarski(D)) ) ) ) )).
fof(s1_xfamily__e3_3__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(A))) & ~ r1_xboole_0(C,A) ) ) ) )).
fof(s1_xfamily__e3_4__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(A))) & ? [D] : ( r2_tarski(D,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e3_55_6__card_3,axiom,( ! [A] : ! [B] : ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,A) & k3_xboole_0(D,B) != k1_xboole_0 ) ) )).
fof(s1_xfamily__e3_5__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(A))) & ? [D] : ? [E] : ( r2_tarski(D,E) & r2_tarski(E,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e3_6__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(A))) & ? [D] : ? [E] : ? [F] : ( r2_tarski(D,E) & r2_tarski(E,F) & r2_tarski(F,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e4_21_2_1__finset_1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k1_ordinal1(A)))) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k9_setfam_1(A)) & ? [E] : ( r2_tarski(E,B) & D = k6_subset_1(E,k1_tarski(A)) ) ) ) ) )).
fof(s1_xfamily__e4_6_2__wellset1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_relat_1(A)) & r2_tarski(D,k1_relat_1(B)) & k2_wellord1(A,k1_wellord1(A,D)) = k2_wellord1(B,k1_wellord1(B,D)) ) ) ) )).
fof(s1_xfamily__e5_33__dynkin,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_dynkin(B,A) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k9_setfam_1(k9_setfam_1(A))) & ? [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) & D = k7_dynkin(A,B,E) ) ) ) ) )).
fof(s1_xfamily__e5_34_5_1_1__taxonom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) ) => ? [E] : ! [F] : ( r2_tarski(F,E) <=> ( r2_tarski(F,B) & ? [G] : ( r2_tarski(G,F) & r1_tarski(G,D) & C != G ) ) ) ) )).
fof(s1_xfamily__e5_4__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(k3_tarski(A)))) & ~ r1_xboole_0(C,A) ) ) ) )).
fof(s1_xfamily__e5_5__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(k3_tarski(k3_tarski(A))))) & ~ r1_xboole_0(C,A) ) ) ) )).
fof(s1_xfamily__e5_6__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(k3_tarski(k3_tarski(k3_tarski(A)))))) & ~ r1_xboole_0(C,A) ) ) ) )).
fof(s1_xfamily__e5_7__wellset1,axiom,( ! [A] : ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k1_zfmisc_1(A)) & ~ r3_tarski(C,A) ) ) )).
fof(s1_xfamily__e6_21__finset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_relat_1(C) & v1_funct_1(C) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k9_setfam_1(k9_xtuple_0(C))) & r2_tarski(k7_relat_1(C,E),B) ) ) ) )).
fof(s1_xfamily__e7_30__taxonom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,k9_setfam_1(k9_setfam_1(A))) & r2_tarski(C,E) & v4_taxonom2(E) & r1_tarski(E,B) ) ) ) )).
fof(s1_xfamily__e7_34_5_1_1_5_1_1__taxonom2,axiom,( ! [A] : ! [B] : ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,B) & r1_xboole_0(D,A) ) ) )).
fof(s1_xfamily__e7_5__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(k3_tarski(A)))) & ? [D] : ( r2_tarski(D,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e7_6__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(k3_tarski(A)))) & ? [D] : ? [E] : ( r2_tarski(D,E) & r2_tarski(E,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_xfamily__e8_28_1_1_1__taxonom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,B) & r2_hidden(C,E) ) ) ) )).
fof(s1_xfamily__e8_29_1_1_1__taxonom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) ) => ? [D] : ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,B) & r2_hidden(C,E) ) ) ) )).
fof(s1_xfamily__e8_9__card_5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ! [D] : ( r2_tarski(D,C) <=> ( r2_tarski(D,k1_card_1(A)) & ~ r2_tarski(k1_funct_1(B,D),k3_card_3(k5_relat_1(B,D))) ) ) ) )).
fof(s1_xfamily__e9_6__xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ! [C] : ( r2_tarski(C,B) <=> ( r2_tarski(C,k3_tarski(k3_tarski(k3_tarski(k3_tarski(A))))) & ? [D] : ( r2_tarski(D,C) & ~ r1_xboole_0(D,A) ) ) ) ) )).
fof(s1_yellow15__e17_26_1__yellow15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,k9_setfam_1(A)) & m2_finseq_1(C,k9_setfam_1(A)) & m2_finseq_1(D,k5_margrel1) ) => ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ( ( r2_tarski(k1_funct_1(C,E),k2_relset_1(k9_setfam_1(A),B)) => r2_tarski(k1_funct_1(k3_relat_1(C,k3_relat_1(k2_funct_1(B),D)),E),k5_margrel1) ) & ( ~ r2_tarski(k1_funct_1(C,E),k2_relset_1(k9_setfam_1(A),B)) => r2_tarski(k7_margrel1,k5_margrel1) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k5_margrel1) & k3_finseq_1(E) = k3_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => ( ( r2_tarski(k1_funct_1(C,F),k2_relset_1(k9_setfam_1(A),B)) => k1_funct_1(E,F) = k1_funct_1(k3_relat_1(C,k3_relat_1(k2_funct_1(B),D)),F) ) & ( ~ r2_tarski(k1_funct_1(C,F),k2_relset_1(k9_setfam_1(A),B)) => k1_funct_1(E,F) = k7_margrel1 ) ) ) ) ) ) ) )).
fof(s1_yellow15__e6_23_1__yellow15,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,k9_setfam_1(A)) => ( ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) => ( ( r2_hidden(B,k1_funct_1(C,D)) => r2_tarski(k7_margrel1,k5_margrel1) ) & ( ~ r2_hidden(B,k1_funct_1(C,D)) => r2_tarski(k6_margrel1,k5_margrel1) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k5_margrel1) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ( ( r2_hidden(B,k1_funct_1(C,E)) => k1_funct_1(D,E) = k7_margrel1 ) & ( ~ r2_hidden(B,k1_funct_1(C,E)) => k1_funct_1(D,E) = k6_margrel1 ) ) ) ) ) ) ) )).
fof(s1_yellow17__e8_25__yellow17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & v1_tops_2(C,k3_waybel18(A,B)) & v2_cantor_1(C,k3_waybel18(A,B)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_waybel18(A,B))))) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ( ! [E] : ( m1_subset_1(E,A) => ? [F] : ( m1_subset_1(F,u1_struct_0(k4_waybel18(A,B,E))) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(D)) ) => ~ r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,E)),k6_waybel18(A,B,E),k1_tarski(F)),k3_tarski(G)) ) ) ) => ? [E] : ( m1_subset_1(E,u1_struct_0(k3_waybel18(A,B))) & ! [F] : ( m1_subset_1(F,A) => ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(D)) ) => ~ r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,F)),k6_waybel18(A,B,F),k1_tarski(k5_waybel18(A,B,E,F))),k3_tarski(H)) ) ) ) ) ) )).
fof(s1_yellow_0__e3_5_1_2__lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( ~ v2_struct_0(B) & v1_orders_2(B) & l1_orders_2(B) & u1_struct_0(B) = A & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_orders_2(B,C,D) <=> ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & C = E & D = F & r1_xxreal_0(E,F) ) ) ) ) ) ) ) )).
fof(s1_yellow_0__e6_84__waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & ~ v1_xboole_0(C) ) => ? [D] : ( ~ v2_struct_0(D) & v1_orders_2(D) & l1_orders_2(D) & u1_struct_0(D) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( r1_orders_2(D,E,F) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & G = k1_xfamily(E) & H = k1_xfamily(F) & r1_orders_2(B,G,H) & r1_tarski(k2_xfamily(F),k2_xfamily(E)) ) ) ) ) ) ) ) )).
fof(s1_yellow_0__e8_41__waybel20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [E] : ( ~ v2_struct_0(E) & v1_orders_2(E) & l1_orders_2(E) & u1_struct_0(E) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( r1_orders_2(E,F,G) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & F = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k2_waybel20(A,B),H) & G = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k2_waybel20(A,B),I) & r3_orders_2(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,H),k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,I)) ) ) ) ) ) ) ) )).
fof(s1_zf_lang1__e5_13__zfmodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) & m2_subset_1(B,k4_ordinal1,k1_zf_lang) & ~ v1_xboole_0(C) ) => ( ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( ( ~ r2_tarski(A,k4_zf_lang1(k3_zf_lang(D,E))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,F,k6_zf_lang1(k3_zf_lang(D,E),B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,F,B,k3_funct_2(k1_zf_lang,C,F,A)),k3_zf_lang(D,E)) ) ) ) & ( ~ r2_tarski(A,k4_zf_lang1(k4_zf_lang(D,E))) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_zf_lang,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,G,k6_zf_lang1(k4_zf_lang(D,E),B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,G,B,k3_funct_2(k1_zf_lang,C,G,A)),k4_zf_lang(D,E)) ) ) ) ) ) ) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ( ~ r2_tarski(A,k4_zf_lang1(D)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_zf_lang,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,H,k6_zf_lang1(D,B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,H,B,k3_funct_2(k1_zf_lang,C,H,A)),D) ) ) ) => ( ~ r2_tarski(A,k4_zf_lang1(k5_zf_lang(D))) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_zf_lang,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,I,k6_zf_lang1(k5_zf_lang(D),B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,I,B,k3_funct_2(k1_zf_lang,C,I,A)),k5_zf_lang(D)) ) ) ) ) ) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ( ~ r2_tarski(A,k4_zf_lang1(D)) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_zf_lang,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,J,k6_zf_lang1(D,B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,J,B,k3_funct_2(k1_zf_lang,C,J,A)),D) ) ) ) & ( ~ r2_tarski(A,k4_zf_lang1(E)) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k1_zf_lang,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,K,k6_zf_lang1(E,B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,K,B,k3_funct_2(k1_zf_lang,C,K,A)),E) ) ) ) ) => ( ~ r2_tarski(A,k4_zf_lang1(k6_zf_lang(D,E))) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k1_zf_lang,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,L,k6_zf_lang1(k6_zf_lang(D,E),B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,L,B,k3_funct_2(k1_zf_lang,C,L,A)),k6_zf_lang(D,E)) ) ) ) ) ) ) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( ( ~ r2_tarski(A,k4_zf_lang1(D)) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k1_zf_lang,C) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,M,k6_zf_lang1(D,B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,M,B,k3_funct_2(k1_zf_lang,C,M,A)),D) ) ) ) => ( ~ r2_tarski(A,k4_zf_lang1(k7_zf_lang(E,D))) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k1_zf_lang,C) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,N,k6_zf_lang1(k7_zf_lang(E,D),B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,N,B,k3_funct_2(k1_zf_lang,C,N,A)),k7_zf_lang(E,D)) ) ) ) ) ) ) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ~ r2_tarski(A,k4_zf_lang1(D)) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k1_zf_lang,C) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,O,k6_zf_lang1(D,B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,O,B,k3_funct_2(k1_zf_lang,C,O,A)),D) ) ) ) ) ) ) )).
fof(s1_zf_lang1__e5_140__zf_lang1,axiom,( ( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ( r1_tarski(k2_zf_model(k3_zf_lang(A,B)),k3_zf_lang1(k3_zf_lang(A,B))) & r1_tarski(k2_zf_model(k4_zf_lang(A,B)),k3_zf_lang1(k4_zf_lang(A,B))) ) ) ) & ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( r1_tarski(k2_zf_model(A),k3_zf_lang1(A)) => r1_tarski(k2_zf_model(k5_zf_lang(A)),k3_zf_lang1(k5_zf_lang(A))) ) ) & ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( r1_tarski(k2_zf_model(A),k3_zf_lang1(A)) & r1_tarski(k2_zf_model(B),k3_zf_lang1(B)) ) => r1_tarski(k2_zf_model(k6_zf_lang(A,B)),k3_zf_lang1(k6_zf_lang(A,B))) ) ) ) & ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ( r1_tarski(k2_zf_model(A),k3_zf_lang1(A)) => r1_tarski(k2_zf_model(k7_zf_lang(B,A)),k3_zf_lang1(k7_zf_lang(B,A))) ) ) ) ) => ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => r1_tarski(k2_zf_model(A),k3_zf_lang1(A)) ) )).
fof(s1_zf_lang1__e5_150__zf_lang1,axiom,( ! [A] : ! [B] : ( ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) & m2_subset_1(B,k4_ordinal1,k1_zf_lang) ) => ( ( ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k5_zf_lang1(k3_zf_lang(C,D),A,B),k8_zf_lang) & r2_tarski(k5_zf_lang1(k4_zf_lang(C,D),A,B),k8_zf_lang) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r2_tarski(k5_zf_lang1(C,A,B),k8_zf_lang) => r2_tarski(k5_zf_lang1(k5_zf_lang(C),A,B),k8_zf_lang) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ( r2_tarski(k5_zf_lang1(C,A,B),k8_zf_lang) & r2_tarski(k5_zf_lang1(D,A,B),k8_zf_lang) ) => r2_tarski(k5_zf_lang1(k6_zf_lang(C,D),A,B),k8_zf_lang) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k5_zf_lang1(C,A,B),k8_zf_lang) => r2_tarski(k5_zf_lang1(k7_zf_lang(D,C),A,B),k8_zf_lang) ) ) ) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => r2_tarski(k5_zf_lang1(C,A,B),k8_zf_lang) ) ) ) )).
fof(s1_zf_lang1__e5_1__zfmodel2,axiom,( ! [A] : ! [B] : ( ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) & m2_subset_1(B,k4_ordinal1,k1_zf_lang) ) => ( ( ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r1_tarski(k2_zf_model(k6_zf_lang1(k3_zf_lang(C,D),A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k3_zf_lang(C,D)),k1_tarski(A)),k1_tarski(B))) & r1_tarski(k2_zf_model(k6_zf_lang1(k4_zf_lang(C,D),A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k4_zf_lang(C,D)),k1_tarski(A)),k1_tarski(B))) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r1_tarski(k2_zf_model(k6_zf_lang1(C,A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B))) => r1_tarski(k2_zf_model(k6_zf_lang1(k5_zf_lang(C),A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k5_zf_lang(C)),k1_tarski(A)),k1_tarski(B))) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ( r1_tarski(k2_zf_model(k6_zf_lang1(C,A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B))) & r1_tarski(k2_zf_model(k6_zf_lang1(D,A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(D),k1_tarski(A)),k1_tarski(B))) ) => r1_tarski(k2_zf_model(k6_zf_lang1(k6_zf_lang(C,D),A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k6_zf_lang(C,D)),k1_tarski(A)),k1_tarski(B))) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r1_tarski(k2_zf_model(k6_zf_lang1(C,A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B))) => r1_tarski(k2_zf_model(k6_zf_lang1(k7_zf_lang(D,C),A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k7_zf_lang(D,C)),k1_tarski(A)),k1_tarski(B))) ) ) ) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => r1_tarski(k2_zf_model(k6_zf_lang1(C,A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B))) ) ) ) )).
fof(s1_zf_lang1__e5_2__zfmodel2,axiom,( ! [A] : ! [B] : ( ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) & m2_subset_1(B,k4_ordinal1,k1_zf_lang) ) => ( ( ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( ( ~ r2_tarski(B,k4_zf_lang1(k3_zf_lang(C,D))) => ( ( r2_tarski(A,k2_zf_model(k3_zf_lang(C,D))) => k2_zf_model(k6_zf_lang1(k3_zf_lang(C,D),A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k3_zf_lang(C,D)),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(k3_zf_lang(C,D))) => k2_zf_model(k6_zf_lang1(k3_zf_lang(C,D),A,B)) = k2_zf_model(k3_zf_lang(C,D)) ) ) ) & ( ~ r2_tarski(B,k4_zf_lang1(k4_zf_lang(C,D))) => ( ( r2_tarski(A,k2_zf_model(k4_zf_lang(C,D))) => k2_zf_model(k6_zf_lang1(k4_zf_lang(C,D),A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k4_zf_lang(C,D)),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(k4_zf_lang(C,D))) => k2_zf_model(k6_zf_lang1(k4_zf_lang(C,D),A,B)) = k2_zf_model(k4_zf_lang(C,D)) ) ) ) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( ~ r2_tarski(B,k4_zf_lang1(C)) => ( ( r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_zf_model(C) ) ) ) => ( ~ r2_tarski(B,k4_zf_lang1(k5_zf_lang(C))) => ( ( r2_tarski(A,k2_zf_model(k5_zf_lang(C))) => k2_zf_model(k6_zf_lang1(k5_zf_lang(C),A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k5_zf_lang(C)),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(k5_zf_lang(C))) => k2_zf_model(k6_zf_lang1(k5_zf_lang(C),A,B)) = k2_zf_model(k5_zf_lang(C)) ) ) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ( ( ~ r2_tarski(B,k4_zf_lang1(C)) => ( ( r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_zf_model(C) ) ) ) & ( ~ r2_tarski(B,k4_zf_lang1(D)) => ( ( r2_tarski(A,k2_zf_model(D)) => k2_zf_model(k6_zf_lang1(D,A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(D),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(D)) => k2_zf_model(k6_zf_lang1(D,A,B)) = k2_zf_model(D) ) ) ) ) => ( ~ r2_tarski(B,k4_zf_lang1(k6_zf_lang(C,D))) => ( ( r2_tarski(A,k2_zf_model(k6_zf_lang(C,D))) => k2_zf_model(k6_zf_lang1(k6_zf_lang(C,D),A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k6_zf_lang(C,D)),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(k6_zf_lang(C,D))) => k2_zf_model(k6_zf_lang1(k6_zf_lang(C,D),A,B)) = k2_zf_model(k6_zf_lang(C,D)) ) ) ) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( ( ~ r2_tarski(B,k4_zf_lang1(C)) => ( ( r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_zf_model(C) ) ) ) => ( ~ r2_tarski(B,k4_zf_lang1(k7_zf_lang(D,C))) => ( ( r2_tarski(A,k2_zf_model(k7_zf_lang(D,C))) => k2_zf_model(k6_zf_lang1(k7_zf_lang(D,C),A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(k7_zf_lang(D,C)),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(k7_zf_lang(D,C))) => k2_zf_model(k6_zf_lang1(k7_zf_lang(D,C),A,B)) = k2_zf_model(k7_zf_lang(D,C)) ) ) ) ) ) ) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ~ r2_tarski(B,k4_zf_lang1(C)) => ( ( r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B)) ) & ( ~ r2_tarski(A,k2_zf_model(C)) => k2_zf_model(k6_zf_lang1(C,A,B)) = k2_zf_model(C) ) ) ) ) ) ) )).
fof(s1_zf_lang1__e5_4__zfmodel2,axiom,( ( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ( ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(D),k4_zf_lang1(k3_zf_lang(A,B))) & r1_xxreal_0(C,D) ) ) ) & ? [E] : ( m1_subset_1(E,k4_ordinal1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(F),k4_zf_lang1(k4_zf_lang(A,B))) & r1_xxreal_0(E,F) ) ) ) ) ) ) & ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ? [G] : ( m1_subset_1(G,k4_ordinal1) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(H),k4_zf_lang1(A)) & r1_xxreal_0(G,H) ) ) ) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(J),k4_zf_lang1(k5_zf_lang(A))) & r1_xxreal_0(I,J) ) ) ) ) ) & ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( ? [K] : ( m1_subset_1(K,k4_ordinal1) & ! [L] : ( m1_subset_1(L,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(L),k4_zf_lang1(A)) & r1_xxreal_0(K,L) ) ) ) & ? [M] : ( m1_subset_1(M,k4_ordinal1) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(N),k4_zf_lang1(B)) & r1_xxreal_0(M,N) ) ) ) ) => ? [O] : ( m1_subset_1(O,k4_ordinal1) & ! [P] : ( m1_subset_1(P,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(P),k4_zf_lang1(k6_zf_lang(A,B))) & r1_xxreal_0(O,P) ) ) ) ) ) ) & ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ( ? [Q] : ( m1_subset_1(Q,k4_ordinal1) & ! [R] : ( m1_subset_1(R,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(R),k4_zf_lang1(A)) & r1_xxreal_0(Q,R) ) ) ) => ? [S] : ( m1_subset_1(S,k4_ordinal1) & ! [T] : ( m1_subset_1(T,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(T),k4_zf_lang1(k7_zf_lang(B,A))) & r1_xxreal_0(S,T) ) ) ) ) ) ) ) => ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ? [U] : ( m1_subset_1(U,k4_ordinal1) & ! [V] : ( m1_subset_1(V,k4_ordinal1) => ~ ( r2_tarski(k2_zf_lang(V),k4_zf_lang1(A)) & r1_xxreal_0(U,V) ) ) ) ) )).
fof(s1_zf_lang1__e5_65__zf_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( r2_tarski(F,k2_zf_model(k3_zf_lang(B,C))) => k3_funct_2(k1_zf_lang,A,E,F) = k3_funct_2(k1_zf_lang,A,D,F) ) ) & r1_zf_model(A,D,k3_zf_lang(B,C)) ) => r1_zf_model(A,E,k3_zf_lang(B,C)) ) ) ) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_zf_lang,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_zf_lang,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [I] : ( m2_subset_1(I,k4_ordinal1,k1_zf_lang) => ( r2_tarski(I,k2_zf_model(k4_zf_lang(B,C))) => k3_funct_2(k1_zf_lang,A,H,I) = k3_funct_2(k1_zf_lang,A,G,I) ) ) & r1_zf_model(A,G,k4_zf_lang(B,C)) ) => r1_zf_model(A,H,k4_zf_lang(B,C)) ) ) ) ) ) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_zf_lang,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k1_zf_lang,A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [L] : ( m2_subset_1(L,k4_ordinal1,k1_zf_lang) => ( r2_tarski(L,k2_zf_model(B)) => k3_funct_2(k1_zf_lang,A,K,L) = k3_funct_2(k1_zf_lang,A,J,L) ) ) & r1_zf_model(A,J,B) ) => r1_zf_model(A,K,B) ) ) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k1_zf_lang,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k1_zf_lang,A) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [O] : ( m2_subset_1(O,k4_ordinal1,k1_zf_lang) => ( r2_tarski(O,k2_zf_model(k5_zf_lang(B))) => k3_funct_2(k1_zf_lang,A,N,O) = k3_funct_2(k1_zf_lang,A,M,O) ) ) & r1_zf_model(A,M,k5_zf_lang(B)) ) => r1_zf_model(A,N,k5_zf_lang(B)) ) ) ) ) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k1_zf_lang,A) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k1_zf_lang,A) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [R] : ( m2_subset_1(R,k4_ordinal1,k1_zf_lang) => ( r2_tarski(R,k2_zf_model(B)) => k3_funct_2(k1_zf_lang,A,Q,R) = k3_funct_2(k1_zf_lang,A,P,R) ) ) & r1_zf_model(A,P,B) ) => r1_zf_model(A,Q,B) ) ) ) & ! [S] : ( ( v1_funct_1(S) & v1_funct_2(S,k1_zf_lang,A) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [T] : ( ( v1_funct_1(T) & v1_funct_2(T,k1_zf_lang,A) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [U] : ( m2_subset_1(U,k4_ordinal1,k1_zf_lang) => ( r2_tarski(U,k2_zf_model(C)) => k3_funct_2(k1_zf_lang,A,T,U) = k3_funct_2(k1_zf_lang,A,S,U) ) ) & r1_zf_model(A,S,C) ) => r1_zf_model(A,T,C) ) ) ) ) => ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,k1_zf_lang,A) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,k1_zf_lang,A) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [X] : ( m2_subset_1(X,k4_ordinal1,k1_zf_lang) => ( r2_tarski(X,k2_zf_model(k6_zf_lang(B,C))) => k3_funct_2(k1_zf_lang,A,W,X) = k3_funct_2(k1_zf_lang,A,V,X) ) ) & r1_zf_model(A,V,k6_zf_lang(B,C)) ) => r1_zf_model(A,W,k6_zf_lang(B,C)) ) ) ) ) ) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( ! [Y] : ( ( v1_funct_1(Y) & v1_funct_2(Y,k1_zf_lang,A) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [Z] : ( ( v1_funct_1(Z) & v1_funct_2(Z,k1_zf_lang,A) & m1_subset_1(Z,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [A1] : ( m2_subset_1(A1,k4_ordinal1,k1_zf_lang) => ( r2_tarski(A1,k2_zf_model(B)) => k3_funct_2(k1_zf_lang,A,Z,A1) = k3_funct_2(k1_zf_lang,A,Y,A1) ) ) & r1_zf_model(A,Y,B) ) => r1_zf_model(A,Z,B) ) ) ) => ! [B1] : ( ( v1_funct_1(B1) & v1_funct_2(B1,k1_zf_lang,A) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C1] : ( ( v1_funct_1(C1) & v1_funct_2(C1,k1_zf_lang,A) & m1_subset_1(C1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [D1] : ( m2_subset_1(D1,k4_ordinal1,k1_zf_lang) => ( r2_tarski(D1,k2_zf_model(k7_zf_lang(C,B))) => k3_funct_2(k1_zf_lang,A,C1,D1) = k3_funct_2(k1_zf_lang,A,B1,D1) ) ) & r1_zf_model(A,B1,k7_zf_lang(C,B)) ) => r1_zf_model(A,C1,k7_zf_lang(C,B)) ) ) ) ) ) ) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [E1] : ( ( v1_funct_1(E1) & v1_funct_2(E1,k1_zf_lang,A) & m1_subset_1(E1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [F1] : ( ( v1_funct_1(F1) & v1_funct_2(F1,k1_zf_lang,A) & m1_subset_1(F1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [G1] : ( m2_subset_1(G1,k4_ordinal1,k1_zf_lang) => ( r2_tarski(G1,k2_zf_model(B)) => k3_funct_2(k1_zf_lang,A,F1,G1) = k3_funct_2(k1_zf_lang,A,E1,G1) ) ) & r1_zf_model(A,E1,B) ) => r1_zf_model(A,F1,B) ) ) ) ) ) ) )).
fof(s1_zf_lang1__e6_45__zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(C) ) => ( ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k5_zf_fund1(k3_zf_lang(D,E),C),B) & r2_tarski(k5_zf_fund1(k4_zf_lang(D,E),C),B) ) ) ) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r2_tarski(k5_zf_fund1(D,C),B) => r2_tarski(k5_zf_fund1(k5_zf_lang(D),C),B) ) ) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( r2_tarski(k5_zf_fund1(D,C),B) & r2_tarski(k5_zf_fund1(E,C),B) ) => r2_tarski(k5_zf_fund1(k6_zf_lang(D,E),C),B) ) ) ) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k5_zf_fund1(D,C),B) => r2_tarski(k5_zf_fund1(k7_zf_lang(E,D),C),B) ) ) ) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => r2_tarski(k5_zf_fund1(D,C),B) ) ) ) )).
fof(s1_zf_lang__e10_30__zf_refle,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) ) => ( ( ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( v7_zf_lang(C) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(D) & v3_ordinal2(D) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( k4_ordinal4(A,D,E) = E => ( k1_xboole_0 = E | ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,k5_zf_refle(A,B,E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,E)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,E),k4_zf_refle(A,B),F),C) <=> r1_zf_model(k5_zf_refle(A,B,E),F,C) ) ) ) ) ) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( v4_zf_lang(C) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(G) & v3_ordinal2(G) & ! [H] : ( ( v3_ordinal1(H) & m1_subset_1(H,A) ) => ( k4_ordinal4(A,G,H) = H => ( k1_xboole_0 = H | ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_zf_lang,k5_zf_refle(A,B,H)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,H)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,H),k4_zf_refle(A,B),I),k19_zf_lang(C)) <=> r1_zf_model(k5_zf_refle(A,B,H),I,k19_zf_lang(C)) ) ) ) ) ) ) ) => ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(J) & v3_ordinal2(J) & ! [K] : ( ( v3_ordinal1(K) & m1_subset_1(K,A) ) => ( k4_ordinal4(A,J,K) = K => ( k1_xboole_0 = K | ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k1_zf_lang,k5_zf_refle(A,B,K)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,K)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,K),k4_zf_refle(A,B),L),C) <=> r1_zf_model(k5_zf_refle(A,B,K),L,C) ) ) ) ) ) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( v5_zf_lang(C) & ? [M] : ( v1_funct_1(M) & v1_funct_2(M,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(M) & v3_ordinal2(M) & ! [N] : ( ( v3_ordinal1(N) & m1_subset_1(N,A) ) => ( k4_ordinal4(A,M,N) = N => ( k1_xboole_0 = N | ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k1_zf_lang,k5_zf_refle(A,B,N)) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,N)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,N),k4_zf_refle(A,B),O),k20_zf_lang(C)) <=> r1_zf_model(k5_zf_refle(A,B,N),O,k20_zf_lang(C)) ) ) ) ) ) ) & ? [P] : ( v1_funct_1(P) & v1_funct_2(P,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(P) & v3_ordinal2(P) & ! [Q] : ( ( v3_ordinal1(Q) & m1_subset_1(Q,A) ) => ( k4_ordinal4(A,P,Q) = Q => ( k1_xboole_0 = Q | ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,k1_zf_lang,k5_zf_refle(A,B,Q)) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,Q)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,Q),k4_zf_refle(A,B),R),k21_zf_lang(C)) <=> r1_zf_model(k5_zf_refle(A,B,Q),R,k21_zf_lang(C)) ) ) ) ) ) ) ) => ? [S] : ( v1_funct_1(S) & v1_funct_2(S,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(S) & v3_ordinal2(S) & ! [T] : ( ( v3_ordinal1(T) & m1_subset_1(T,A) ) => ( k4_ordinal4(A,S,T) = T => ( k1_xboole_0 = T | ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k1_zf_lang,k5_zf_refle(A,B,T)) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,T)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,T),k4_zf_refle(A,B),U),C) <=> r1_zf_model(k5_zf_refle(A,B,T),U,C) ) ) ) ) ) ) ) ) & ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( v6_zf_lang(C) & ? [V] : ( v1_funct_1(V) & v1_funct_2(V,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(V) & v3_ordinal2(V) & ! [W] : ( ( v3_ordinal1(W) & m1_subset_1(W,A) ) => ( k4_ordinal4(A,V,W) = W => ( k1_xboole_0 = W | ! [X] : ( ( v1_funct_1(X) & v1_funct_2(X,k1_zf_lang,k5_zf_refle(A,B,W)) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,W)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,W),k4_zf_refle(A,B),X),k23_zf_lang(C)) <=> r1_zf_model(k5_zf_refle(A,B,W),X,k23_zf_lang(C)) ) ) ) ) ) ) ) => ? [Y] : ( v1_funct_1(Y) & v1_funct_2(Y,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(Y) & v3_ordinal2(Y) & ! [Z] : ( ( v3_ordinal1(Z) & m1_subset_1(Z,A) ) => ( k4_ordinal4(A,Y,Z) = Z => ( k1_xboole_0 = Z | ! [A1] : ( ( v1_funct_1(A1) & v1_funct_2(A1,k1_zf_lang,k5_zf_refle(A,B,Z)) & m1_subset_1(A1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,Z)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,Z),k4_zf_refle(A,B),A1),C) <=> r1_zf_model(k5_zf_refle(A,B,Z),A1,C) ) ) ) ) ) ) ) ) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ? [B1] : ( v1_funct_1(B1) & v1_funct_2(B1,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(B1) & v3_ordinal2(B1) & ! [C1] : ( ( v3_ordinal1(C1) & m1_subset_1(C1,A) ) => ( k4_ordinal4(A,B1,C1) = C1 => ( k1_xboole_0 = C1 | ! [D1] : ( ( v1_funct_1(D1) & v1_funct_2(D1,k1_zf_lang,k5_zf_refle(A,B,C1)) & m1_subset_1(D1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,C1)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,C1),k4_zf_refle(A,B),D1),C) <=> r1_zf_model(k5_zf_refle(A,B,C1),D1,C) ) ) ) ) ) ) ) ) ) )).
fof(s1_zf_lang__e5_16__zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( v7_zf_lang(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,C,E) != k3_funct_2(k1_zf_lang,A,D,E) & r2_tarski(E,k2_zf_model(B)) ) ) & r1_zf_model(A,C,B) ) => r1_zf_model(A,D,B) ) ) ) ) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v4_zf_lang(B) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_zf_lang,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [H] : ( m2_subset_1(H,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,F,H) != k3_funct_2(k1_zf_lang,A,G,H) & r2_tarski(H,k2_zf_model(k19_zf_lang(B))) ) ) & r1_zf_model(A,F,k19_zf_lang(B)) ) => r1_zf_model(A,G,k19_zf_lang(B)) ) ) ) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_zf_lang,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_zf_lang,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [K] : ( m2_subset_1(K,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,I,K) != k3_funct_2(k1_zf_lang,A,J,K) & r2_tarski(K,k2_zf_model(B)) ) ) & r1_zf_model(A,I,B) ) => r1_zf_model(A,J,B) ) ) ) ) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v5_zf_lang(B) & ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k1_zf_lang,A) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k1_zf_lang,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [N] : ( m2_subset_1(N,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,L,N) != k3_funct_2(k1_zf_lang,A,M,N) & r2_tarski(N,k2_zf_model(k20_zf_lang(B))) ) ) & r1_zf_model(A,L,k20_zf_lang(B)) ) => r1_zf_model(A,M,k20_zf_lang(B)) ) ) ) & ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k1_zf_lang,A) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k1_zf_lang,A) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [Q] : ( m2_subset_1(Q,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,O,Q) != k3_funct_2(k1_zf_lang,A,P,Q) & r2_tarski(Q,k2_zf_model(k21_zf_lang(B))) ) ) & r1_zf_model(A,O,k21_zf_lang(B)) ) => r1_zf_model(A,P,k21_zf_lang(B)) ) ) ) ) => ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,k1_zf_lang,A) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [S] : ( ( v1_funct_1(S) & v1_funct_2(S,k1_zf_lang,A) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [T] : ( m2_subset_1(T,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,R,T) != k3_funct_2(k1_zf_lang,A,S,T) & r2_tarski(T,k2_zf_model(B)) ) ) & r1_zf_model(A,R,B) ) => r1_zf_model(A,S,B) ) ) ) ) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( v6_zf_lang(B) & ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k1_zf_lang,A) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,k1_zf_lang,A) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [W] : ( m2_subset_1(W,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,U,W) != k3_funct_2(k1_zf_lang,A,V,W) & r2_tarski(W,k2_zf_model(k23_zf_lang(B))) ) ) & r1_zf_model(A,U,k23_zf_lang(B)) ) => r1_zf_model(A,V,k23_zf_lang(B)) ) ) ) ) => ! [X] : ( ( v1_funct_1(X) & v1_funct_2(X,k1_zf_lang,A) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [Y] : ( ( v1_funct_1(Y) & v1_funct_2(Y,k1_zf_lang,A) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [Z] : ( m2_subset_1(Z,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,X,Z) != k3_funct_2(k1_zf_lang,A,Y,Z) & r2_tarski(Z,k2_zf_model(B)) ) ) & r1_zf_model(A,X,B) ) => r1_zf_model(A,Y,B) ) ) ) ) ) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [A1] : ( ( v1_funct_1(A1) & v1_funct_2(A1,k1_zf_lang,A) & m1_subset_1(A1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [B1] : ( ( v1_funct_1(B1) & v1_funct_2(B1,k1_zf_lang,A) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [C1] : ( m2_subset_1(C1,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,A1,C1) != k3_funct_2(k1_zf_lang,A,B1,C1) & r2_tarski(C1,k2_zf_model(B)) ) ) & r1_zf_model(A,A1,B) ) => r1_zf_model(A,B1,B) ) ) ) ) ) ) )).
fof(s1_zf_refle__e4_30_1__zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ! [D] : ( m1_subset_1(D,k9_funct_2(k1_zf_lang,k4_zf_refle(A,B))) => ? [E] : ( v3_ordinal1(E) & m1_subset_1(E,A) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,k4_zf_refle(A,B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k4_zf_refle(A,B)))) & D = F & ~ ( ! [G] : ( m2_subset_1(G,A,k4_zf_refle(A,B)) => ~ ( r2_tarski(G,k1_funct_1(B,E)) & r1_zf_model(k4_zf_refle(A,B),k2_zf_lang1(k4_zf_refle(A,B),F,k22_zf_lang(C),G),k5_zf_lang(k23_zf_lang(C))) ) ) & ~ ( E = k2_ordinal4(A) & ! [G] : ( m2_subset_1(G,A,k4_zf_refle(A,B)) => ~ r1_zf_model(k4_zf_refle(A,B),k2_zf_lang1(k4_zf_refle(A,B),F,k22_zf_lang(C),G),k5_zf_lang(k23_zf_lang(C))) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k9_funct_2(k1_zf_lang,k4_zf_refle(A,B)) & ! [E] : ( m1_subset_1(E,k9_funct_2(k1_zf_lang,k4_zf_refle(A,B))) => ? [H] : ( v3_ordinal1(H) & m1_subset_1(H,A) & H = k1_funct_1(D,E) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k1_zf_lang,k4_zf_refle(A,B)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k4_zf_refle(A,B)))) & E = I & ~ ( ! [J] : ( m2_subset_1(J,A,k4_zf_refle(A,B)) => ~ ( r2_tarski(J,k1_funct_1(B,H)) & r1_zf_model(k4_zf_refle(A,B),k2_zf_lang1(k4_zf_refle(A,B),I,k22_zf_lang(C),J),k5_zf_lang(k23_zf_lang(C))) ) ) & ~ ( H = k2_ordinal4(A) & ! [J] : ( m2_subset_1(J,A,k4_zf_refle(A,B)) => ~ r1_zf_model(k4_zf_refle(A,B),k2_zf_lang1(k4_zf_refle(A,B),I,k22_zf_lang(C),J),k5_zf_lang(k23_zf_lang(C))) ) ) ) ) & ! [K] : ( ( v3_ordinal1(K) & m1_subset_1(K,A) ) => ( ? [L] : ( v1_funct_1(L) & v1_funct_2(L,k1_zf_lang,k4_zf_refle(A,B)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k4_zf_refle(A,B)))) & E = L & ~ ( ! [M] : ( m2_subset_1(M,A,k4_zf_refle(A,B)) => ~ ( r2_tarski(M,k1_funct_1(B,K)) & r1_zf_model(k4_zf_refle(A,B),k2_zf_lang1(k4_zf_refle(A,B),L,k22_zf_lang(C),M),k5_zf_lang(k23_zf_lang(C))) ) ) & ~ ( K = k2_ordinal4(A) & ! [M] : ( m2_subset_1(M,A,k4_zf_refle(A,B)) => ~ r1_zf_model(k4_zf_refle(A,B),k2_zf_lang1(k4_zf_refle(A,B),L,k22_zf_lang(C),M),k5_zf_lang(k23_zf_lang(C))) ) ) ) ) => r1_ordinal1(H,K) ) ) ) ) ) ) ) )).
fof(s1_zf_refle__e6_5_2__zf_fund2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_zf_refle(B,A) & ~ v1_xboole_0(C) ) => ( ! [D] : ( m1_subset_1(D,C) => ? [E] : ( v3_ordinal1(E) & m1_subset_1(E,A) & r2_tarski(D,k1_funct_1(B,E)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( m1_subset_1(E,C) => ? [F] : ( v3_ordinal1(F) & m1_subset_1(F,A) & F = k1_funct_1(D,E) & r2_tarski(E,k1_funct_1(B,F)) & ! [G] : ( ( v3_ordinal1(G) & m1_subset_1(G,A) ) => ( r2_tarski(E,k1_funct_1(B,G)) => r1_ordinal1(F,G) ) ) ) ) ) ) ) )).
fof(s1_zf_refle__e9_9_1__zf_fund2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_zf_refle(B,A) ) => ( ! [C] : ( m1_subset_1(C,k4_zf_refle(A,B)) => ? [D] : ( v3_ordinal1(D) & m1_subset_1(D,A) & r2_tarski(C,k1_funct_1(B,D)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_zf_refle(A,B) & ! [D] : ( m1_subset_1(D,k4_zf_refle(A,B)) => ? [E] : ( v3_ordinal1(E) & m1_subset_1(E,A) & E = k1_funct_1(C,D) & r2_tarski(D,k1_funct_1(B,E)) & ! [F] : ( ( v3_ordinal1(F) & m1_subset_1(F,A) ) => ( r2_tarski(D,k1_funct_1(B,F)) => r1_ordinal1(E,F) ) ) ) ) ) ) ) )).
fof(s20_fraenkel__e11_26__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) & m1_subset_1(D,k4_partfun1(A,B)) ) => a_4_8_heyting2(A,B,C,D) = a_4_9_heyting2(A,B,C,D) ) )).
fof(s20_fraenkel__e1_62_1__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)))) & m1_subset_1(C,A) ) => a_3_8_card_fil(A,B,C) = a_3_3_card_fil(A,B,C) ) )).
fof(s20_fraenkel__e7_38__heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m1_subset_1(C,u1_struct_0(k11_normform(A))) ) => a_3_25_heyting1(A,B,C) = a_3_26_heyting1(A,B,C) ) )).
fof(s21_fraenkel__e11_27__waybel31,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_7_waybel31(A,B)) ) ) )).
fof(s21_fraenkel__e13_53__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_4_compl_sp(A,B)) ) ) )).
fof(s21_fraenkel__e14_13_2_1__waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_1_waybel19(A,B)) ) ) )).
fof(s21_fraenkel__e14_49_2__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( v1_finset_1(D) => v1_finset_1(a_4_3_yellow_9(A,B,C,D)) ) ) )).
fof(s21_fraenkel__e14_55_3_2__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_finset_1(D) => v1_finset_1(a_4_5_yellow_9(A,B,C,D)) ) ) )).
fof(s21_fraenkel__e15_44_6__waybel18,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u1_struct_0(k2_yellow_1(A))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_1_waybel18(A,B)) ) ) )).
fof(s21_fraenkel__e15_55_3_2__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( v1_finset_1(D) => v1_finset_1(a_4_6_yellow_9(A,B,C,D)) ) ) )).
fof(s21_fraenkel__e16_10_1_2__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & m2_subset_1(C,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) & v3_ordinal1(D) & ~ v1_xboole_0(D) ) => ( v1_finset_1(k22_pre_poly(k10_ordinal2(A,B),C)) => v1_finset_1(a_4_2_polynom6(A,B,C,D)) ) ) )).
fof(s21_fraenkel__e16_44__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_5_compl_sp(A,B)) ) ) )).
fof(s21_fraenkel__e17_27__waybel31,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_8_waybel31(A,B)) ) ) )).
fof(s21_fraenkel__e17_37_5__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k4_ordinal1))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(a_3_13_compl_sp(A,B,D)) => v1_finset_1(a_4_2_compl_sp(A,B,C,D)) ) ) )).
fof(s21_fraenkel__e22_43__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( v1_finset_1(k1_nat_1(C,1)) => v1_finset_1(a_3_16_compl_sp(A,B,C)) ) ) )).
fof(s21_fraenkel__e2_189__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))))) ) => ( v1_finset_1(C) => v1_finset_1(a_3_8_msafree5(A,B,C)) ) ) )).
fof(s21_fraenkel__e2_212__fomodel0,axiom,( ! [A] : ( v4_funct_1(A) => ( v1_finset_1(A) => v1_finset_1(a_1_3_fomodel0(A)) ) ) )).
fof(s21_fraenkel__e2_38_2_10__lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_7_lopclset(A,B)) ) ) )).
fof(s21_fraenkel__e3_23_1_1_8__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(u1_struct_0(A))))) & m1_subset_1(F,u1_struct_0(A)) ) => ( v1_finset_1(a_5_0_nagata_2(A,B,C,E,F)) => v1_finset_1(a_6_1_nagata_2(A,B,C,D,E,F)) ) ) )).
fof(s21_fraenkel__e3_27_4__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v7_ordinal1(C) ) => ( v1_finset_1(k1_nat_1(C,1)) => v1_finset_1(a_3_7_compl_sp(A,B,C)) ) ) )).
fof(s21_fraenkel__e3_52_2__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(C) ) => ( v1_finset_1(C) => v1_finset_1(a_3_19_dickson(A,B,C)) ) ) )).
fof(s21_fraenkel__e3_52_4_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(E) => v1_finset_1(a_5_14_dickson(A,B,C,D,E)) ) ) )).
fof(s21_fraenkel__e3_52_5_1_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,k4_ordinal1) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(D) => v1_finset_1(a_4_23_dickson(A,B,C,D)) ) ) )).
fof(s21_fraenkel__e3_52_6__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & v5_valued_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(E) => v1_finset_1(a_5_16_dickson(A,B,C,D,E)) ) ) )).
fof(s21_fraenkel__e3_8__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) ) => ( v1_finset_1(C) => v1_finset_1(a_3_2_heyting2(A,B,C)) ) ) )).
fof(s21_fraenkel__e3_97__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & m1_msafree4(D,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,C,k1_msafree3(A,B))) ) => ( v1_finset_1(k10_xtuple_0(D)) => v1_finset_1(a_4_0_msafree5(A,B,C,D)) ) ) )).
fof(s21_fraenkel__e4_179_1_2__scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v4_scmyciel(A) & ~ v1_xboole_0(B) ) => ( v1_finset_1(B) => v1_finset_1(a_2_2_scmyciel(A,B)) ) ) )).
fof(s21_fraenkel__e4_23__trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v7_ordinal1(B) & m1_trees_1(C,A) ) => ( v1_finset_1(k2_finseq_1(B)) => v1_finset_1(a_3_1_trees_2(A,B,C)) ) ) )).
fof(s21_fraenkel__e4_37_1_1__nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(C,k4_ordinal1) ) => ( v1_finset_1(k4_subset_1(k4_ordinal1,k2_finseq_1(C),k6_domain_1(k4_ordinal1,k5_numbers))) => v1_finset_1(a_3_3_nagata_1(A,B,C)) ) ) )).
fof(s21_fraenkel__e4_37_1_5__nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(C,k4_ordinal1) ) => ( v1_finset_1(k4_subset_1(k4_ordinal1,k2_finseq_1(C),k6_domain_1(k4_ordinal1,k5_numbers))) => v1_finset_1(a_3_3_nagata_1(A,B,C)) ) ) )).
fof(s21_fraenkel__e4_5__fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m2_subset_1(B,k3_finseq_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k3_fomodel0(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k35_fomodel1(A))) ) => ( v1_finset_1(k4_finseq_1(B)) => v1_finset_1(a_2_2_fomodel3(A,B)) ) ) )).
fof(s21_fraenkel__e4_66_1_1__rcomp_3,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_finset_1(k9_setfam_1(B)) => v1_finset_1(a_2_4_rcomp_3(A,B)) ) ) )).
fof(s21_fraenkel__e5_114_1_2__chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) & m2_chord(D,A,B,C) & m2_glib_000(E,A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) & m1_subset_1(F,k6_glib_000(E)) & ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(k6_glib_000(A))) ) => ( v1_finset_1(k1_glib_002(E,F)) => v1_finset_1(a_7_0_chord(A,B,C,D,E,F,G)) ) ) )).
fof(s21_fraenkel__e5_23_1_1_9__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(u1_struct_0(A))))) & v1_funct_1(F) & v1_funct_2(F,k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) & m1_subset_1(G,u1_struct_0(A)) & m1_subset_1(H,u1_struct_0(A)) ) => ( v1_finset_1(k2_xboole_0(a_6_6_nagata_2(A,B,C,D,E,G),a_6_6_nagata_2(A,B,C,D,E,H))) => v1_finset_1(a_8_2_nagata_2(A,B,C,D,E,F,G,H)) ) ) )).
fof(s21_fraenkel__e5_57_1__topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_subset_1(C,k4_ordinal1) ) => ( v1_finset_1(C) => v1_finset_1(a_3_1_topdim_1(A,B,C)) ) ) )).
fof(s21_fraenkel__e6_46_1__msscyc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(C) ) => ( v1_finset_1(a_2_1_msscyc_1(A,C)) => v1_finset_1(a_3_2_msscyc_1(A,B,C)) ) ) )).
fof(s21_fraenkel__e7_28_1_5_2__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & m1_subset_1(C,k4_ordinal1) ) => ( v1_finset_1(k1_nat_1(C,1)) => v1_finset_1(a_3_10_compl_sp(A,B,C)) ) ) )).
fof(s21_fraenkel__e7_44_2__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( v1_finset_1(C) => v1_finset_1(a_3_17_compl_sp(A,B,C)) ) ) )).
fof(s21_fraenkel__e8_23__trees_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v7_ordinal1(B) & m1_trees_1(C,A) ) => ( v1_finset_1(k2_finseq_1(B)) => v1_finset_1(a_3_1_trees_2(A,B,C)) ) ) )).
fof(s21_fraenkel__e9_40__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_finset_1(B) => v1_finset_1(a_2_5_compl_sp(A,B)) ) ) )).
fof(s21_fraenkel__e9_51__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_finset_1(C) => v1_finset_1(a_3_18_compl_sp(A,B,C)) ) ) )).
fof(s21_fraenkel__e9_98__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u4_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,B,k1_msafree3(A,C))) ) => ( v1_finset_1(k10_xtuple_0(D)) => v1_finset_1(a_4_1_msafree5(A,B,C,D)) ) ) )).
fof(s22_circcmb2__e26_21__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( ! [E] : ! [F] : ( v7_ordinal1(F) => ( v3_msualg_1(k14_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k13_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_msafree2(k14_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k13_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_circcomb(k14_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k13_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v6_circcomb(k14_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k13_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & l3_msualg_1(k14_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k13_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) ) ) & ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0)))) => v1_circuit2(k5_facirc_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),E,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers)),k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0)) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ! [G] : ( ( v4_msualg_1(G,k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & v4_msafree2(G,k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & l3_msualg_1(G,k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) ) => ( ( F = k1_funct_1(D,E) & G = k14_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) ) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G))) => v1_circuit2(k5_facirc_1(k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G,H,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)),k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G) ) ) ) ) & ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & k1_gfacirc2(A,B,C) = k1_funct_1(E,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k2_gfacirc2(A,B,C) = k1_funct_1(F,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k3_gfacirc2(k5_numbers,B,C) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( ~ v2_struct_0(H) & l1_msualg_1(H) ) => ! [I] : ( ( v4_msualg_1(I,H) & l3_msualg_1(I,H) ) => ! [J] : ! [K] : ( ( v4_msualg_1(K,k13_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & l3_msualg_1(K,k13_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) ) => ( ( H = k1_funct_1(E,G) & I = k1_funct_1(F,G) & J = k1_funct_1(D,G) & K = k14_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) => ( k1_funct_1(E,k1_nat_1(G,1)) = k2_circcomb(H,k13_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & k1_funct_1(F,k1_nat_1(G,1)) = k3_circcomb(H,k13_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J),I,K) & k1_funct_1(D,k1_nat_1(G,1)) = k9_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) ) ) ) ) ) ) ) & v1_relat_1(k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0))) & ~ v1_facirc_1(k2_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0))) & k1_funct_1(D,k5_numbers) = k3_gfacirc2(k5_numbers,B,C) & r2_hidden(k3_gfacirc2(k5_numbers,B,C),k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0))) & ! [E] : ( v7_ordinal1(E) => ! [F] : v1_relat_1(k3_msafree2(k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ~ ( F = k1_funct_1(D,E) & v1_facirc_1(k4_xboole_0(k2_msafree2(k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)),k1_tarski(F))) ) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => ( k1_funct_1(D,k1_nat_1(E,1)) = k9_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) & r2_tarski(F,k2_msafree2(k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) & r2_hidden(k9_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),k3_msafree2(k13_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k1_gfacirc2(A,B,C),k2_gfacirc2(A,B,C)))) => v1_circuit2(k5_facirc_1(k1_gfacirc2(A,B,C),k2_gfacirc2(A,B,C),E,k2_xcmplx_0(k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers),k3_xcmplx_0(k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2),k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)))),k1_gfacirc2(A,B,C),k2_gfacirc2(A,B,C)) ) ) ) )).
fof(s22_circcmb2__e26_33__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( ! [E] : ! [F] : ( v7_ordinal1(F) => ( v3_msualg_1(k9_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k8_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_msafree2(k9_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k8_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_circcomb(k9_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k8_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v6_circcomb(k9_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k8_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & l3_msualg_1(k9_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k8_fscirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) ) ) & ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0)))) => v1_circuit2(k5_facirc_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),E,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers)),k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0)) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ! [G] : ( ( v4_msualg_1(G,k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & v4_msafree2(G,k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & l3_msualg_1(G,k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) ) => ( ( F = k1_funct_1(D,E) & G = k9_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) ) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G))) => v1_circuit2(k5_facirc_1(k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G,H,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)),k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G) ) ) ) ) & ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & k1_fscirc_2(A,B,C) = k1_funct_1(E,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k2_fscirc_2(A,B,C) = k1_funct_1(F,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k3_fscirc_2(k5_numbers,B,C) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( ~ v2_struct_0(H) & l1_msualg_1(H) ) => ! [I] : ( ( v4_msualg_1(I,H) & l3_msualg_1(I,H) ) => ! [J] : ! [K] : ( ( v4_msualg_1(K,k8_fscirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & l3_msualg_1(K,k8_fscirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) ) => ( ( H = k1_funct_1(E,G) & I = k1_funct_1(F,G) & J = k1_funct_1(D,G) & K = k9_fscirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) => ( k1_funct_1(E,k1_nat_1(G,1)) = k2_circcomb(H,k8_fscirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & k1_funct_1(F,k1_nat_1(G,1)) = k3_circcomb(H,k8_fscirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J),I,K) & k1_funct_1(D,k1_nat_1(G,1)) = k6_fscirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) ) ) ) ) ) ) ) & v1_relat_1(k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0))) & ~ v1_facirc_1(k2_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0))) & k1_funct_1(D,k5_numbers) = k3_fscirc_2(k5_numbers,B,C) & r2_hidden(k3_fscirc_2(k5_numbers,B,C),k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0))) & ! [E] : ( v7_ordinal1(E) => ! [F] : v1_relat_1(k3_msafree2(k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ~ ( F = k1_funct_1(D,E) & v1_facirc_1(k4_xboole_0(k2_msafree2(k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)),k1_tarski(F))) ) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => ( k1_funct_1(D,k1_nat_1(E,1)) = k6_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) & r2_tarski(F,k2_msafree2(k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) & r2_hidden(k6_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),k3_msafree2(k8_fscirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k1_fscirc_2(A,B,C),k2_fscirc_2(A,B,C)))) => v1_circuit2(k5_facirc_1(k1_fscirc_2(A,B,C),k2_fscirc_2(A,B,C),E,k2_xcmplx_0(k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers),k3_xcmplx_0(k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2),k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)))),k1_fscirc_2(A,B,C),k2_fscirc_2(A,B,C)) ) ) ) )).
fof(s22_circcmb2__e26_42__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( ! [E] : ! [F] : ( v7_ordinal1(F) => ( v3_msualg_1(k26_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k25_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_msafree2(k26_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k25_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_circcomb(k26_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k25_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v6_circcomb(k26_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k25_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & l3_msualg_1(k26_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k25_gfacirc1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) ) ) & ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0)))) => v1_circuit2(k5_facirc_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),E,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers)),k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0)) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ! [G] : ( ( v4_msualg_1(G,k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & v4_msafree2(G,k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & l3_msualg_1(G,k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) ) => ( ( F = k1_funct_1(D,E) & G = k26_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) ) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G))) => v1_circuit2(k5_facirc_1(k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G,H,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)),k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G) ) ) ) ) & ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & k5_gfacirc2(A,B,C) = k1_funct_1(E,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k6_gfacirc2(A,B,C) = k1_funct_1(F,k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_gfacirc2(k5_numbers,B,C) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( ~ v2_struct_0(H) & l1_msualg_1(H) ) => ! [I] : ( ( v4_msualg_1(I,H) & l3_msualg_1(I,H) ) => ! [J] : ! [K] : ( ( v4_msualg_1(K,k25_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & l3_msualg_1(K,k25_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) ) => ( ( H = k1_funct_1(E,G) & I = k1_funct_1(F,G) & J = k1_funct_1(D,G) & K = k26_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) => ( k1_funct_1(E,k1_nat_1(G,1)) = k2_circcomb(H,k25_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & k1_funct_1(F,k1_nat_1(G,1)) = k3_circcomb(H,k25_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J),I,K) & k1_funct_1(D,k1_nat_1(G,1)) = k21_gfacirc1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) ) ) ) ) ) ) ) & v1_relat_1(k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0))) & ~ v1_facirc_1(k2_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0))) & k1_funct_1(D,k5_numbers) = k7_gfacirc2(k5_numbers,B,C) & r2_hidden(k7_gfacirc2(k5_numbers,B,C),k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0))) & ! [E] : ( v7_ordinal1(E) => ! [F] : v1_relat_1(k3_msafree2(k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ~ ( F = k1_funct_1(D,E) & v1_facirc_1(k4_xboole_0(k2_msafree2(k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)),k1_tarski(F))) ) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => ( k1_funct_1(D,k1_nat_1(E,1)) = k21_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) & r2_tarski(F,k2_msafree2(k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) & r2_hidden(k21_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),k3_msafree2(k25_gfacirc1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k5_gfacirc2(A,B,C),k6_gfacirc2(A,B,C)))) => v1_circuit2(k5_facirc_1(k5_gfacirc2(A,B,C),k6_gfacirc2(A,B,C),E,k2_xcmplx_0(k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers),k3_xcmplx_0(k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2),k8_nat_1(k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)))),k5_gfacirc2(A,B,C),k6_gfacirc2(A,B,C)) ) ) ) )).
fof(s22_circcmb2__e26_48__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( ! [E] : ! [F] : ( v7_ordinal1(F) => ( v3_msualg_1(k20_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k19_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_msafree2(k20_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k19_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v4_circcomb(k20_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k19_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & v6_circcomb(k20_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k19_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) & l3_msualg_1(k20_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E),k19_facirc_1(k1_funct_1(B,k1_nat_1(F,1)),k1_funct_1(C,k1_nat_1(F,1)),E)) ) ) & ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0)))) => v1_circuit2(k5_facirc_1(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),E,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers)),k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0)) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ! [G] : ( ( v4_msualg_1(G,k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & v4_msafree2(G,k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) & l3_msualg_1(G,k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)) ) => ( ( F = k1_funct_1(D,E) & G = k20_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) ) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G))) => v1_circuit2(k5_facirc_1(k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G,H,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)),k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),G) ) ) ) ) & ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & k3_facirc_2(A,B,C) = k1_funct_1(E,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k4_facirc_2(A,B,C) = k1_funct_1(F,k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2)) & k1_funct_1(E,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(F,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k5_facirc_2(k5_numbers,B,C) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( ~ v2_struct_0(H) & l1_msualg_1(H) ) => ! [I] : ( ( v4_msualg_1(I,H) & l3_msualg_1(I,H) ) => ! [J] : ! [K] : ( ( v4_msualg_1(K,k19_facirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & l3_msualg_1(K,k19_facirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) ) => ( ( H = k1_funct_1(E,G) & I = k1_funct_1(F,G) & J = k1_funct_1(D,G) & K = k20_facirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) => ( k1_funct_1(E,k1_nat_1(G,1)) = k2_circcomb(H,k19_facirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J)) & k1_funct_1(F,k1_nat_1(G,1)) = k3_circcomb(H,k19_facirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J),I,K) & k1_funct_1(D,k1_nat_1(G,1)) = k17_facirc_1(k1_funct_1(B,k1_nat_1(G,1)),k1_funct_1(C,k1_nat_1(G,1)),J) ) ) ) ) ) ) ) ) & v1_relat_1(k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0))) & ~ v1_facirc_1(k2_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0))) & k1_funct_1(D,k5_numbers) = k5_facirc_2(k5_numbers,B,C) & r2_hidden(k5_facirc_2(k5_numbers,B,C),k3_msafree2(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0))) & ! [E] : ( v7_ordinal1(E) => ! [F] : v1_relat_1(k3_msafree2(k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ~ ( F = k1_funct_1(D,E) & v1_facirc_1(k4_xboole_0(k2_msafree2(k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F)),k1_tarski(F))) ) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => ( k1_funct_1(D,k1_nat_1(E,1)) = k17_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F) & r2_tarski(F,k2_msafree2(k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) & r2_hidden(k17_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F),k3_msafree2(k19_facirc_1(k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)),F))) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k3_facirc_2(A,B,C),k4_facirc_2(A,B,C)))) => v1_circuit2(k5_facirc_1(k3_facirc_2(A,B,C),k4_facirc_2(A,B,C),E,k2_xcmplx_0(k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),k5_numbers),k3_xcmplx_0(k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),2),k3_funct_2(k4_ordinal1,k4_ordinal1,k13_funct_7(k4_ordinal1,1,2,k10_subset_1(A,k4_ordinal1)),1)))),k3_facirc_2(A,B,C),k4_facirc_2(A,B,C)) ) ) ) )).
fof(s22_fraenkel__e4_15__jordan12,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( v1_finset_1(a_1_0_jordan12(A)) & v1_finset_1(a_1_0_jordan12(B)) ) => v1_finset_1(a_2_8_jordan12(A,B)) ) ) )).
fof(s22_fraenkel__e5_6__simplex2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & v1_finset_1(B) ) => v1_finset_1(a_2_0_simplex2(A,B)) ) ) )).
fof(s22_fraenkel__e7_179_1_2__scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v4_scmyciel(A) & ~ v1_xboole_0(B) ) => ( ( v1_finset_1(k3_tarski(A)) & v1_finset_1(k3_tarski(A)) ) => v1_finset_1(a_2_3_scmyciel(A,B)) ) ) )).
fof(s23_fraenkel__e4_42__normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => ( ( ! [C] : ( m1_subset_1(C,k7_normform(A)) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),C,C) ) & ! [C] : ( m1_subset_1(C,k7_normform(A)) => ! [D] : ( m1_subset_1(D,k7_normform(A)) => ! [E] : ( m1_subset_1(E,k7_normform(A)) => ( ( r1_normform(k5_finsub_1(A),k5_finsub_1(A),C,D) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),D,E) ) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),C,E) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,k7_normform(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,k7_normform(A)) => ~ ( r2_tarski(D,B) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),D,C) & ! [E] : ( m1_subset_1(E,k7_normform(A)) => ( ( r2_tarski(E,B) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),E,D) ) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),D,E) ) ) ) ) ) ) ) ) )).
fof(s23_fraenkel__e6_18__substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ( ( ! [D] : ( m1_subset_1(D,k4_partfun1(A,B)) => r1_tarski(D,D) ) & ! [D] : ( m1_subset_1(D,k4_partfun1(A,B)) => ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( ( r1_tarski(D,E) & r1_tarski(E,F) ) => r1_tarski(D,F) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,k4_partfun1(A,B)) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ~ ( r2_tarski(E,C) & r1_tarski(E,D) & ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( ( r2_tarski(F,C) & r1_tarski(F,E) ) => r1_tarski(E,F) ) ) ) ) ) ) ) ) )).
fof(s27_fraenkel__e3_32__heyting1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m1_subset_1(C,u1_struct_0(k11_normform(A))) & m1_subset_1(D,u1_struct_0(k11_normform(A))) ) => ( ! [E] : ( m1_subset_1(E,k7_normform(A)) => ~ ( r2_tarski(E,k3_heyting1(A,C)) & ! [F] : ( m1_subset_1(F,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ~ ( r2_tarski(F,k3_heyting1(A,D)) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),F,k1_normform(k5_finsub_1(A),k5_finsub_1(A),E,B)) ) ) ) ) => ? [E] : ( m2_funct_2(E,k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k9_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)))) & ! [F] : ( m1_subset_1(F,k7_normform(A)) => ( r2_tarski(F,k3_heyting1(A,C)) => ( r2_tarski(k3_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),E,F),k3_heyting1(A,D)) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),k3_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),E,F),k1_normform(k5_finsub_1(A),k5_finsub_1(A),F,B)) ) ) ) ) ) ) )).
fof(s27_fraenkel__e4_30_1_1_1__heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m2_subset_1(C,k5_finsub_1(k7_normform(A)),k8_normform(A)) ) => ( ! [D] : ( m1_subset_1(D,k7_normform(A)) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,k1_heyting1(A)) => ~ r2_tarski(E,k2_xboole_0(k3_xboole_0(k1_xfamily(D),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),B)),k3_xboole_0(k2_xfamily(D),k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),B)))) ) ) ) => ? [D] : ( m2_funct_2(D,k7_normform(A),k1_heyting1(A),k9_funct_2(k7_normform(A),k1_heyting1(A))) & ! [E] : ( m1_subset_1(E,k7_normform(A)) => ( r2_tarski(E,C) => r2_tarski(k3_funct_2(k7_normform(A),k1_heyting1(A),D,E),k2_xboole_0(k3_xboole_0(k1_xfamily(E),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),B)),k3_xboole_0(k2_xfamily(E),k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),B)))) ) ) ) ) ) )).
fof(s27_fraenkel__e4_37__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & m1_subset_1(C,k4_partfun1(A,B)) & m2_subset_1(D,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) & m2_subset_1(E,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) ) => ( ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ~ ( r2_tarski(F,D) & ! [G] : ( m1_subset_1(G,k4_partfun1(A,B)) => ~ ( r2_tarski(G,E) & r1_tarski(G,k2_xboole_0(F,C)) ) ) ) ) => ? [F] : ( m2_funct_2(F,k4_partfun1(A,B),k4_partfun1(A,B),k9_funct_2(k4_partfun1(A,B),k4_partfun1(A,B))) & ! [G] : ( m1_subset_1(G,k4_partfun1(A,B)) => ( r2_tarski(G,D) => ( r2_tarski(k3_funct_2(k4_partfun1(A,B),k4_partfun1(A,B),F,G),E) & r1_tarski(k3_funct_2(k4_partfun1(A,B),k4_partfun1(A,B),F,G),k2_xboole_0(G,C)) ) ) ) ) ) ) )).
fof(s27_fraenkel__e5_17_1_1__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) & m1_subset_1(D,k4_partfun1(A,B)) ) => ( ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ~ ( r2_tarski(E,C) & ! [F] : ( m1_subset_1(F,k1_heyting1(A)) => ~ ( r2_tarski(F,k3_xboole_0(k9_xtuple_0(E),k9_xtuple_0(D))) & k1_funct_1(E,F) != k1_funct_1(D,F) ) ) ) ) => ? [E] : ( m2_funct_2(E,k4_partfun1(A,B),k1_heyting1(A),k9_funct_2(k4_partfun1(A,B),k1_heyting1(A))) & ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( r2_tarski(F,C) => ( r2_tarski(k3_funct_2(k4_partfun1(A,B),k1_heyting1(A),E,F),k3_xboole_0(k9_xtuple_0(F),k9_xtuple_0(D))) & k1_funct_1(F,k3_funct_2(k4_partfun1(A,B),k1_heyting1(A),E,F)) != k1_funct_1(D,k3_funct_2(k4_partfun1(A,B),k1_heyting1(A),E,F)) ) ) ) ) ) ) )).
fof(s28_fraenkel__e15_30_1_2__rlaffin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_convex1(C,A) & m2_rlvect_2(C,A,B) & v2_convex1(D,A) & m2_rlvect_2(D,A,B) ) => ( ( v1_finset_1(k4_subset_1(u1_struct_0(A),k3_rlvect_2(A,C),k3_rlvect_2(A,D))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_numbers) => ! [G] : ( m1_subset_1(G,k1_numbers) => ( ( ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( H = F & I = E ) => ( ~ r1_xxreal_0(k5_numbers,H) & k3_funct_2(u1_struct_0(A),k1_numbers,C,I) != k3_funct_2(u1_struct_0(A),k1_numbers,D,I) & k3_funct_2(u1_struct_0(A),k1_numbers,k7_rlvect_2(A,k8_rlvect_2(A,H,D),k8_rlvect_2(A,k6_xcmplx_0(1,H),C)),I) = k5_numbers ) ) ) ) & ! [J] : ( v1_xreal_0(J) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( J = G & K = E ) => ( ~ r1_xxreal_0(k5_numbers,J) & k3_funct_2(u1_struct_0(A),k1_numbers,C,K) != k3_funct_2(u1_struct_0(A),k1_numbers,D,K) & k3_funct_2(u1_struct_0(A),k1_numbers,k7_rlvect_2(A,k8_rlvect_2(A,J,D),k8_rlvect_2(A,k6_xcmplx_0(1,J),C)),K) = k5_numbers ) ) ) ) ) => F = G ) ) ) ) ) => v1_finset_1(a_4_0_rlaffin2(A,B,C,D)) ) ) )).
fof(s2_abcmiz_0__e4_112__abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & l3_abcmiz_0(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k11_abcmiz_0(A)) => r3_orders_2(A,B,C) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r3_orders_2(A,B,B) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_orders_2(A,B,C) & r3_orders_2(A,C,D) ) => r3_orders_2(A,B,D) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_rewrite1(k11_abcmiz_0(A),B,C) => r3_orders_2(A,B,C) ) ) ) ) ) )).
fof(s2_abcmiz_0__e7_127__abcmiz_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & v14_abcmiz_0(A) & l3_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),C,D),k11_abcmiz_0(A)) => ( r3_orders_2(A,C,k12_abcmiz_0(A,B)) => r3_orders_2(A,D,k12_abcmiz_0(A,B)) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,C,k12_abcmiz_0(A,B)) => r3_orders_2(A,C,k12_abcmiz_0(A,B)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( ( r3_orders_2(A,C,k12_abcmiz_0(A,B)) => r3_orders_2(A,D,k12_abcmiz_0(A,B)) ) & ( r3_orders_2(A,D,k12_abcmiz_0(A,B)) => r3_orders_2(A,E,k12_abcmiz_0(A,B)) ) ) => ( r3_orders_2(A,C,k12_abcmiz_0(A,B)) => r3_orders_2(A,E,k12_abcmiz_0(A,B)) ) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_rewrite1(k11_abcmiz_0(A),C,D) => ( r3_orders_2(A,C,k12_abcmiz_0(A,B)) => r3_orders_2(A,D,k12_abcmiz_0(A,B)) ) ) ) ) ) ) )).
fof(s2_abcmiz_1__e5_249__abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & m1_subset_1(C,k1_zfmisc_1(k2_abcmiz_1)) ) => ( ( ! [D] : ( m1_subset_1(D,k2_abcmiz_1) => k56_abcmiz_1(A,k54_abcmiz_1(A,C),k35_abcmiz_1(D,A)) = k35_abcmiz_1(D,A) ) & ! [D] : ( ( v2_abcmiz_1(D,A) & m1_subset_1(D,u4_struct_0(A)) ) => ! [E] : ( m1_trees_4(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => ( ( k3_finseq_1(E) = k3_finseq_1(k1_msualg_1(A,D)) & ! [F] : ( m1_abcmiz_1(F,A,k14_abcmiz_1(A)) => ( r2_tarski(F,k2_relset_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),E)) => k56_abcmiz_1(A,k54_abcmiz_1(A,C),F) = F ) ) ) => k56_abcmiz_1(A,k54_abcmiz_1(A,C),k36_abcmiz_1(A,D,E)) = k36_abcmiz_1(A,D,E) ) ) ) & ! [D] : ( m1_abcmiz_1(D,A,k13_abcmiz_1(A)) => ( k56_abcmiz_1(A,k54_abcmiz_1(A,C),D) = D => k56_abcmiz_1(A,k54_abcmiz_1(A,C),k30_abcmiz_1(A,k32_abcmiz_1(A),D)) = k30_abcmiz_1(A,k32_abcmiz_1(A),D) ) ) & ! [D] : ( m1_abcmiz_1(D,A,k13_abcmiz_1(A)) => ( k56_abcmiz_1(A,k54_abcmiz_1(A,C),D) = D => ! [E] : ( m1_abcmiz_1(E,A,k12_abcmiz_1(A)) => ( k56_abcmiz_1(A,k54_abcmiz_1(A,C),E) = E => k56_abcmiz_1(A,k54_abcmiz_1(A,C),k31_abcmiz_1(A,k33_abcmiz_1(A),D,E)) = k31_abcmiz_1(A,k33_abcmiz_1(A),D,E) ) ) ) ) ) => k56_abcmiz_1(A,k54_abcmiz_1(A,C),B) = B ) ) )).
fof(s2_abcmiz_1__e6_262__abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & v1_funct_1(B) & v2_funct_1(B) & v15_abcmiz_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v1_funct_1(C) & v2_funct_1(C) & v15_abcmiz_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => ( ( ! [E] : ( m1_subset_1(E,k2_abcmiz_1) => ( r1_tarski(k45_abcmiz_1(A,k35_abcmiz_1(E,A)),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,k35_abcmiz_1(E,A))) = k35_abcmiz_1(E,A) ) ) & ! [E] : ( ( v2_abcmiz_1(E,A) & m1_subset_1(E,u4_struct_0(A)) ) => ! [F] : ( m1_trees_4(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => ( ( k3_finseq_1(F) = k3_finseq_1(k1_msualg_1(A,E)) & ! [G] : ( m1_abcmiz_1(G,A,k14_abcmiz_1(A)) => ( r2_tarski(G,k2_relset_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),F)) => ( r1_tarski(k45_abcmiz_1(A,G),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,G)) = G ) ) ) ) => ( r1_tarski(k45_abcmiz_1(A,k36_abcmiz_1(A,E,F)),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,k36_abcmiz_1(A,E,F))) = k36_abcmiz_1(A,E,F) ) ) ) ) & ! [E] : ( m1_abcmiz_1(E,A,k13_abcmiz_1(A)) => ( ( r1_tarski(k45_abcmiz_1(A,E),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,E)) = E ) => ( r1_tarski(k45_abcmiz_1(A,k30_abcmiz_1(A,k32_abcmiz_1(A),E)),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,k30_abcmiz_1(A,k32_abcmiz_1(A),E))) = k30_abcmiz_1(A,k32_abcmiz_1(A),E) ) ) ) & ! [E] : ( m1_abcmiz_1(E,A,k13_abcmiz_1(A)) => ( ( r1_tarski(k45_abcmiz_1(A,E),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,E)) = E ) => ! [F] : ( m1_abcmiz_1(F,A,k12_abcmiz_1(A)) => ( ( r1_tarski(k45_abcmiz_1(A,F),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,F)) = F ) => ( r1_tarski(k45_abcmiz_1(A,k31_abcmiz_1(A,k33_abcmiz_1(A),E,F)),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,k31_abcmiz_1(A,k33_abcmiz_1(A),E,F))) = k31_abcmiz_1(A,k33_abcmiz_1(A),E,F) ) ) ) ) ) ) => ( r1_tarski(k45_abcmiz_1(A,D),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,D)) = D ) ) ) )).
fof(s2_abcmiz_1__e6_272__abcmiz_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( ( ! [E] : ( m1_subset_1(E,k2_abcmiz_1) => k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,k35_abcmiz_1(E,A))) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),k35_abcmiz_1(E,A)) ) & ! [E] : ( ( v2_abcmiz_1(E,A) & m1_subset_1(E,u4_struct_0(A)) ) => ! [F] : ( m1_trees_4(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => ( ( k3_finseq_1(F) = k3_finseq_1(k1_msualg_1(A,E)) & ! [G] : ( m1_abcmiz_1(G,A,k14_abcmiz_1(A)) => ( r2_tarski(G,k2_relset_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),F)) => k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,G)) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),G) ) ) ) => k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,k36_abcmiz_1(A,E,F))) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),k36_abcmiz_1(A,E,F)) ) ) ) & ! [E] : ( m1_abcmiz_1(E,A,k13_abcmiz_1(A)) => ( k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,E)) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),E) => k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,k30_abcmiz_1(A,k32_abcmiz_1(A),E))) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),k30_abcmiz_1(A,k32_abcmiz_1(A),E)) ) ) & ! [E] : ( m1_abcmiz_1(E,A,k13_abcmiz_1(A)) => ( k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,E)) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),E) => ! [F] : ( m1_abcmiz_1(F,A,k12_abcmiz_1(A)) => ( k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,F)) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),F) => k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,k31_abcmiz_1(A,k33_abcmiz_1(A),E,F))) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),k31_abcmiz_1(A,k33_abcmiz_1(A),E,F)) ) ) ) ) ) => k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,B)) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),B) ) ) )).
fof(s2_absred_0__e4_123__absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r3_absred_0(A,B,C) & r7_absred_0(A,B,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_absred_0(A,D,E) & r7_absred_0(A,B,D) ) => r7_absred_0(A,B,E) ) ) ) ) => r7_absred_0(A,B,C) ) ) )).
fof(s2_absred_0__e4_69__absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r3_absred_0(A,B,C) & r7_absred_0(A,B,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_absred_0(A,D,E) & r7_absred_0(A,B,D) ) => r7_absred_0(A,B,E) ) ) ) ) => r7_absred_0(A,B,C) ) ) )).
fof(s2_absred_0__e4_72__absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r3_absred_0(A,B,C) & ( B = B | r4_absred_0(A,B,B) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_absred_0(A,D,E) & ( B = D | r4_absred_0(A,B,D) ) ) => ( B = E | r4_absred_0(A,B,E) ) ) ) ) ) => ( B = C | r4_absred_0(A,B,C) ) ) ) )).
fof(s2_absred_0__e8_73__absred_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( r3_absred_0(A,D,C) & r1_absred_0(A,B,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_absred_0(A,E,F) & r1_absred_0(A,B,E) ) => r1_absred_0(A,B,F) ) ) ) ) => r1_absred_0(A,B,C) ) ) )).
fof(s2_afinsq_1__e1_7__prgcor_2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & k1_afinsq_1(B) = k1_nat_1(k3_finseq_1(A),1) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_nat_1(k3_finseq_1(A),1)) => k1_funct_1(B,C) = k18_rvsum_1(k17_finseq_1(k1_numbers,C,A)) ) ) ) ) )).
fof(s2_afinsq_1__e8_4__prgcor_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(B,A) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,A) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) & k1_afinsq_1(E) = C & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,C) => k1_funct_1(E,F) = k14_funcop_1(F,k5_numbers,D,k1_prgcor_2(F,k3_finseq_1(B),k1_funct_1(B,F),k1_funct_1(B,F),D)) ) ) ) ) )).
fof(s2_afinsq_2__e3_65__afinsq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(C,A) => ( ( ~ v1_setwiseo(C,A) & ~ ( r1_xxreal_0(1,k1_afinsq_1(B)) & r1_xxreal_0(1,k1_afinsq_1(k4_afinsq_1(A))) ) ) | k6_afinsq_2(A,k1_ordinal4(B,k4_afinsq_1(A)),C) = k4_binop_1(A,C,k6_afinsq_2(A,B,C),k6_afinsq_2(A,k4_afinsq_1(A),C)) ) ) ) ) & ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ! [E] : ( m1_subset_1(E,A) => ( ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,A) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(G,A) => ( ( ~ v1_setwiseo(G,A) & ~ ( r1_xxreal_0(1,k1_afinsq_1(F)) & r1_xxreal_0(1,k1_afinsq_1(D)) ) ) | k6_afinsq_2(A,k1_ordinal4(F,D),G) = k4_binop_1(A,G,k6_afinsq_2(A,F,G),k6_afinsq_2(A,D,G)) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,A) & v1_funct_1(H) & v5_ordinal1(H) & v1_finset_1(H) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(A,A),A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(I,A) => ( ( ~ v1_setwiseo(I,A) & ~ ( r1_xxreal_0(1,k1_afinsq_1(H)) & r1_xxreal_0(1,k1_afinsq_1(k1_ordinal4(D,k5_afinsq_1(E)))) ) ) | k6_afinsq_2(A,k1_ordinal4(H,k1_ordinal4(D,k5_afinsq_1(E))),I) = k4_binop_1(A,I,k6_afinsq_2(A,H,I),k6_afinsq_2(A,k1_ordinal4(D,k5_afinsq_1(E)),I)) ) ) ) ) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,A) & v1_funct_1(J) & v5_ordinal1(J) & v1_finset_1(J) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k2_zfmisc_1(A,A),A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(K,A) => ( ( ~ v1_setwiseo(K,A) & ~ ( r1_xxreal_0(1,k1_afinsq_1(J)) & r1_xxreal_0(1,k1_afinsq_1(D)) ) ) | k6_afinsq_2(A,k1_ordinal4(J,D),K) = k4_binop_1(A,K,k6_afinsq_2(A,J,K),k6_afinsq_2(A,D,K)) ) ) ) ) ) ) ) )).
fof(s2_afinsq_2__e4_20__numeral2,axiom,( ! [A] : ( v1_int_1(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( k2_afinsq_1(k4_afinsq_1(k4_numbers)) = k2_afinsq_1(B) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_afinsq_1(k4_afinsq_1(k4_numbers))) => k1_funct_1(B,C) = k5_int_1(k1_funct_1(k4_afinsq_1(k4_numbers),C),A) ) ) ) => k5_int_1(k7_afinsq_2(k4_afinsq_1(k4_numbers)),A) = k5_int_1(k7_afinsq_2(B),A) ) ) & ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_numbers) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ! [E] : ( m1_subset_1(E,k4_numbers) => ( ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_numbers) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) ) => ( ( k2_afinsq_1(D) = k2_afinsq_1(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_afinsq_1(D)) => k1_funct_1(F,G) = k5_int_1(k1_funct_1(D,G),A) ) ) ) => k5_int_1(k7_afinsq_2(D),A) = k5_int_1(k7_afinsq_2(F),A) ) ) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_numbers) & v1_funct_1(H) & v5_ordinal1(H) & v1_finset_1(H) ) => ( ( k2_afinsq_1(k1_ordinal4(D,k5_afinsq_1(E))) = k2_afinsq_1(H) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k2_afinsq_1(k1_ordinal4(D,k5_afinsq_1(E)))) => k1_funct_1(H,I) = k5_int_1(k1_funct_1(k1_ordinal4(D,k5_afinsq_1(E)),I),A) ) ) ) => k5_int_1(k7_afinsq_2(k1_ordinal4(D,k5_afinsq_1(E))),A) = k5_int_1(k7_afinsq_2(H),A) ) ) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_numbers) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k4_numbers) & v1_funct_1(J) & v5_ordinal1(J) & v1_finset_1(J) ) => ( ( k2_afinsq_1(D) = k2_afinsq_1(J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k2_afinsq_1(D)) => k1_funct_1(J,K) = k5_int_1(k1_funct_1(D,K),A) ) ) ) => k5_int_1(k7_afinsq_2(D),A) = k5_int_1(k7_afinsq_2(J),A) ) ) ) ) ) )).
fof(s2_afinsq_2__e4_3__numeral1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( k1_relset_1(k4_ordinal1,k4_afinsq_1(k4_ordinal1)) = k1_relset_1(k4_ordinal1,B) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k4_afinsq_1(k4_ordinal1))) => k1_recdef_1(B,C) = k4_nat_d(k1_recdef_1(k4_afinsq_1(k4_ordinal1),C),A) ) ) ) => k4_nat_d(k7_afinsq_2(k4_afinsq_1(k4_ordinal1)),A) = k4_nat_d(k7_afinsq_2(B),A) ) ) & ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) ) => ( ( k1_relset_1(k4_ordinal1,D) = k1_relset_1(k4_ordinal1,F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k1_relset_1(k4_ordinal1,D)) => k1_recdef_1(F,G) = k4_nat_d(k1_recdef_1(D,G),A) ) ) ) => k4_nat_d(k7_afinsq_2(D),A) = k4_nat_d(k7_afinsq_2(F),A) ) ) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_ordinal1) & v1_funct_1(H) & v5_ordinal1(H) & v1_finset_1(H) ) => ( ( k1_relset_1(k4_ordinal1,k1_ordinal4(D,k5_afinsq_1(E))) = k1_relset_1(k4_ordinal1,H) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k1_relset_1(k4_ordinal1,k1_ordinal4(D,k5_afinsq_1(E)))) => k1_recdef_1(H,I) = k4_nat_d(k1_recdef_1(k1_ordinal4(D,k5_afinsq_1(E)),I),A) ) ) ) => k4_nat_d(k7_afinsq_2(k1_ordinal4(D,k5_afinsq_1(E))),A) = k4_nat_d(k7_afinsq_2(H),A) ) ) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k4_ordinal1) & v1_funct_1(J) & v5_ordinal1(J) & v1_finset_1(J) ) => ( ( k1_relset_1(k4_ordinal1,D) = k1_relset_1(k4_ordinal1,J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k1_relset_1(k4_ordinal1,D)) => k1_recdef_1(J,K) = k4_nat_d(k1_recdef_1(D,K),A) ) ) ) => k4_nat_d(k7_afinsq_2(D),A) = k4_nat_d(k7_afinsq_2(J),A) ) ) ) ) ) )).
fof(s2_altcat_2__e10_36__hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( B = a_1_2_hilbert4(A) => k9_xtuple_0(B) = a_0_0_hilbert4 ) ) )).
fof(s2_altcat_2__e1_29_1__functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,k1_funct_1(D,E)) & v1_relat_1(G) & v1_funct_1(G) ) => ( G = a_6_0_functor0(A,B,C,D,E,F) => k9_xtuple_0(G) = a_1_2_functor0(A) ) ) )).
fof(s2_altcat_2__e2_245__fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( k50_fomodel4(A) = a_1_15_fomodel4(A) => k9_xtuple_0(k50_fomodel4(A)) = a_1_16_fomodel4(A) ) ) )).
fof(s2_altcat_2__e8_36__hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( B = a_1_3_hilbert4(A) => k9_xtuple_0(B) = a_0_0_hilbert4 ) ) )).
fof(s2_aofa_000__e7_152_6__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & v3_freealg(C) & v3_aofa_000(C) & v4_aofa_000(C) & v5_aofa_000(C) & v6_aofa_000(C) & v12_aofa_000(C) & l1_unialg_1(C) & m1_aofa_000(D,C,A,B) & m1_aofa_000(E,C,A,B) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_tarski(G,k18_aofa_000(C)) => ! [H] : ( m1_subset_1(H,A) => k1_binop_1(D,H,G) = k1_binop_1(E,H,G) ) ) ) & ! [I] : ( m1_subset_1(I,A) => k1_binop_1(D,I,k12_aofa_000(C)) = k1_binop_1(E,I,k12_aofa_000(C)) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ( ( ! [K] : ( m1_subset_1(K,A) => k1_binop_1(D,K,G) = k1_binop_1(E,K,G) ) & ! [L] : ( m1_subset_1(L,A) => k1_binop_1(D,L,J) = k1_binop_1(E,L,J) ) ) => ! [M] : ( m1_subset_1(M,A) => k1_binop_1(D,M,k13_aofa_000(C,G,J)) = k1_binop_1(E,M,k13_aofa_000(C,G,J)) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ! [N] : ( m1_subset_1(N,u1_struct_0(C)) => ( ( ! [O] : ( m1_subset_1(O,A) => k1_binop_1(D,O,G) = k1_binop_1(E,O,G) ) & ! [P] : ( m1_subset_1(P,A) => k1_binop_1(D,P,J) = k1_binop_1(E,P,J) ) & ! [Q] : ( m1_subset_1(Q,A) => k1_binop_1(D,Q,N) = k1_binop_1(E,Q,N) ) ) => ! [R] : ( m1_subset_1(R,A) => k1_binop_1(D,R,k14_aofa_000(C,G,J,N)) = k1_binop_1(E,R,k14_aofa_000(C,G,J,N)) ) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ( ( ! [S] : ( m1_subset_1(S,A) => k1_binop_1(D,S,G) = k1_binop_1(E,S,G) ) & ! [T] : ( m1_subset_1(T,A) => k1_binop_1(D,T,J) = k1_binop_1(E,T,J) ) ) => ! [U] : ( m1_subset_1(U,A) => k1_binop_1(D,U,k16_aofa_000(C,G,J)) = k1_binop_1(E,U,k16_aofa_000(C,G,J)) ) ) ) ) ) => ! [V] : ( m1_subset_1(V,A) => k1_binop_1(D,V,F) = k1_binop_1(E,V,F) ) ) ) )).
fof(s2_aofa_000__e7_169__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & v3_freealg(C) & v3_aofa_000(C) & v4_aofa_000(C) & v5_aofa_000(C) & v6_aofa_000(C) & v12_aofa_000(C) & l1_unialg_1(C) & m1_aofa_000(D,C,A,B) & m1_aofa_000(E,C,A,B) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_tarski(G,k18_aofa_000(C)) => ! [H] : ( m1_subset_1(H,A) => ( r2_hidden(k4_tarski(H,G),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(H,G),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,H,G) = k2_binop_1(A,u1_struct_0(C),A,E,H,G) ) ) ) ) ) & ! [I] : ( m1_subset_1(I,A) => ( r2_hidden(k4_tarski(I,k12_aofa_000(C)),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(I,k12_aofa_000(C)),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,I,k12_aofa_000(C)) = k2_binop_1(A,u1_struct_0(C),A,E,I,k12_aofa_000(C)) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ( ( ! [K] : ( m1_subset_1(K,A) => ( r2_hidden(k4_tarski(K,G),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(K,G),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,K,G) = k2_binop_1(A,u1_struct_0(C),A,E,K,G) ) ) ) & ! [L] : ( m1_subset_1(L,A) => ( r2_hidden(k4_tarski(L,J),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(L,J),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,L,J) = k2_binop_1(A,u1_struct_0(C),A,E,L,J) ) ) ) ) => ! [M] : ( m1_subset_1(M,A) => ( r2_hidden(k4_tarski(M,k13_aofa_000(C,G,J)),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(M,k13_aofa_000(C,G,J)),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,M,k13_aofa_000(C,G,J)) = k2_binop_1(A,u1_struct_0(C),A,E,M,k13_aofa_000(C,G,J)) ) ) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ! [N] : ( m1_subset_1(N,u1_struct_0(C)) => ( ( ! [O] : ( m1_subset_1(O,A) => ( r2_hidden(k4_tarski(O,G),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(O,G),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,O,G) = k2_binop_1(A,u1_struct_0(C),A,E,O,G) ) ) ) & ! [P] : ( m1_subset_1(P,A) => ( r2_hidden(k4_tarski(P,J),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(P,J),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,P,J) = k2_binop_1(A,u1_struct_0(C),A,E,P,J) ) ) ) & ! [Q] : ( m1_subset_1(Q,A) => ( r2_hidden(k4_tarski(Q,N),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(Q,N),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,Q,N) = k2_binop_1(A,u1_struct_0(C),A,E,Q,N) ) ) ) ) => ! [R] : ( m1_subset_1(R,A) => ( r2_hidden(k4_tarski(R,k14_aofa_000(C,G,J,N)),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(R,k14_aofa_000(C,G,J,N)),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,R,k14_aofa_000(C,G,J,N)) = k2_binop_1(A,u1_struct_0(C),A,E,R,k14_aofa_000(C,G,J,N)) ) ) ) ) ) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ( ( ! [S] : ( m1_subset_1(S,A) => ( r2_hidden(k4_tarski(S,G),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(S,G),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,S,G) = k2_binop_1(A,u1_struct_0(C),A,E,S,G) ) ) ) & ! [T] : ( m1_subset_1(T,A) => ( r2_hidden(k4_tarski(T,J),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(T,J),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,T,J) = k2_binop_1(A,u1_struct_0(C),A,E,T,J) ) ) ) ) => ! [U] : ( m1_subset_1(U,A) => ( r2_hidden(k4_tarski(U,k16_aofa_000(C,G,J)),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(U,k16_aofa_000(C,G,J)),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,U,k16_aofa_000(C,G,J)) = k2_binop_1(A,u1_struct_0(C),A,E,U,k16_aofa_000(C,G,J)) ) ) ) ) ) ) ) => ! [V] : ( m1_subset_1(V,A) => ( r2_hidden(k4_tarski(V,F),k21_aofa_000(C,A,B,D)) => ( r2_hidden(k4_tarski(V,F),k21_aofa_000(C,A,B,E)) & k2_binop_1(A,u1_struct_0(C),A,D,V,F) = k2_binop_1(A,u1_struct_0(C),A,E,V,F) ) ) ) ) ) )).
fof(s2_aofa_a00__e16_136__aofa_a00,axiom,( ? [A] : ( v1_funct_1(A) & ~ v1_xboole_0(A) & v2_margrel1(A) & v3_margrel1(A,k4_numbers) & v8_comput_1(A,1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(k4_numbers),k4_numbers))) & ! [B] : ( m1_subset_1(B,k4_numbers) => k1_funct_1(A,k12_finseq_1(k4_numbers,B)) = k10_subset_1(k4_xcmplx_0(B),k4_numbers) ) ) )).
fof(s2_aofa_a00__e3_121__aofa_a00,axiom,( ? [A] : ( v1_funct_1(A) & ~ v1_xboole_0(A) & v2_margrel1(A) & v3_margrel1(A,k5_margrel1) & v8_comput_1(A,1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(k5_margrel1),k5_margrel1))) & ! [B] : ( m1_subset_1(B,k5_margrel1) => k1_funct_1(A,k12_finseq_1(k5_margrel1,B)) = k8_margrel1(B) ) ) )).
fof(s2_armstrng__e3_12__armstrng,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ( ( ! [B] : ( r1_armstrng(B,A) => ? [C] : ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) & B = k1_setfam_1(C) & ! [D] : ( r2_tarski(D,C) => r1_armstrng(D,A) ) ) ) & ! [B] : ! [E] : ( ( r2_tarski(B,A) & r2_tarski(E,A) & ? [F] : ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(A)) & B = k1_setfam_1(F) & ! [G] : ( r2_tarski(G,F) => r1_armstrng(G,A) ) ) & ? [H] : ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(A)) & E = k1_setfam_1(H) & ! [I] : ( r2_tarski(I,H) => r1_armstrng(I,A) ) ) ) => ? [J] : ( ~ v1_xboole_0(J) & m1_subset_1(J,k1_zfmisc_1(A)) & k3_xboole_0(B,E) = k1_setfam_1(J) & ! [K] : ( r2_tarski(K,J) => r1_armstrng(K,A) ) ) ) ) => ! [B] : ( r2_tarski(B,A) => ? [L] : ( ~ v1_xboole_0(L) & m1_subset_1(L,k1_zfmisc_1(A)) & B = k1_setfam_1(L) & ! [M] : ( r2_tarski(M,L) => r1_armstrng(M,A) ) ) ) ) ) )).
fof(s2_binop_1__e6_1_1__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => ( ! [E] : ! [F] : ( ( r2_hidden(E,A) & r2_hidden(F,B) ) => r2_hidden(k1_funct_1(k1_funct_1(D,E),F),C) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & ! [F] : ! [G] : ( ( r2_hidden(F,A) & r2_hidden(G,B) ) => k1_binop_1(E,F,G) = k1_funct_1(k1_funct_1(D,F),G) ) ) ) ) )).
fof(s2_binop_1__e6_2_1__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => ( ! [E] : ! [F] : ( ( r2_hidden(E,B) & r2_hidden(F,A) ) => r2_hidden(k1_funct_1(k1_funct_1(D,F),E),C) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,A),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) & ! [F] : ! [G] : ( ( r2_hidden(F,B) & r2_hidden(G,A) ) => k1_binop_1(E,F,G) = k1_funct_1(k1_funct_1(D,G),F) ) ) ) ) )).
fof(s2_binop_2__e1_105__modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ( ( ! [D] : ( m1_subset_1(D,k30_modelc_1(A)) => ! [E] : ( m1_subset_1(E,k30_modelc_1(A)) => k4_binop_1(k30_modelc_1(A),B,D,E) = k40_modelc_1(A,D,E) ) ) & ! [D] : ( m1_subset_1(D,k30_modelc_1(A)) => ! [E] : ( m1_subset_1(E,k30_modelc_1(A)) => k4_binop_1(k30_modelc_1(A),C,D,E) = k40_modelc_1(A,D,E) ) ) ) => r8_binop_1(k30_modelc_1(A),k30_modelc_1(A),k30_modelc_1(A),B,C) ) ) ) ) )).
fof(s2_binop_2__e1_109__modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)),k30_modelc_1(A)))) ) => ( ( ! [E] : ( m1_subset_1(E,k30_modelc_1(A)) => ! [F] : ( m1_subset_1(F,k30_modelc_1(A)) => k4_binop_1(k30_modelc_1(A),C,E,F) = k43_modelc_1(A,B,E,F) ) ) & ! [E] : ( m1_subset_1(E,k30_modelc_1(A)) => ! [F] : ( m1_subset_1(F,k30_modelc_1(A)) => k4_binop_1(k30_modelc_1(A),D,E,F) = k43_modelc_1(A,B,E,F) ) ) ) => r8_binop_1(k30_modelc_1(A),k30_modelc_1(A),k30_modelc_1(A),C,D) ) ) ) ) )).
fof(s2_binop_2__e1_133__modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),B,D,E) = k35_modelc_2(A,D,E) ) ) & ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),C,D,E) = k35_modelc_2(A,D,E) ) ) ) => r8_binop_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(s2_binop_2__e1_137__modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),B,D,E) = k38_modelc_2(A,D,E) ) ) & ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),C,D,E) = k38_modelc_2(A,D,E) ) ) ) => r8_binop_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(s2_binop_2__e1_139__modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),B,D,E) = k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),k4_binop_1(k30_modelc_1(k25_modelc_2(A)),k36_modelc_2(A),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),D),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),E))) ) ) & ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),C,D,E) = k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),k4_binop_1(k30_modelc_1(k25_modelc_2(A)),k36_modelc_2(A),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),D),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),E))) ) ) ) => r8_binop_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(s2_binop_2__e1_140__modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),B,D,E) = k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),k4_binop_1(k30_modelc_1(k25_modelc_2(A)),k39_modelc_2(A),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),D),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),E))) ) ) & ! [D] : ( m1_subset_1(D,k30_modelc_1(k25_modelc_2(A))) => ! [E] : ( m1_subset_1(E,k30_modelc_1(k25_modelc_2(A))) => k4_binop_1(k30_modelc_1(k25_modelc_2(A)),C,D,E) = k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),k4_binop_1(k30_modelc_1(k25_modelc_2(A)),k39_modelc_2(A),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),D),k3_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k31_modelc_2(A),E))) ) ) ) => r8_binop_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(s2_bintree1__e1_28__scm_comp,axiom,( ( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,k17_scm_comp(k8_dtconstr(k1_scm_comp,A))) => k1_funct_1(B,k10_ami_3(D)) = k1_funct_1(C,k10_ami_3(D)) ) ) => k12_scm_comp(B,k8_dtconstr(k1_scm_comp,A)) = k12_scm_comp(C,k8_dtconstr(k1_scm_comp,A)) ) ) ) ) & ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ( ( r1_lang1(k1_scm_comp,A,k4_pre_poly(u1_struct_0(k1_scm_comp),k1_bintree1(u1_struct_0(k1_scm_comp),E),k1_bintree1(u1_struct_0(k1_scm_comp),F))) & ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_ami_3)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(G,u1_struct_0(k1_ami_3)) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_ami_3)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(H,u1_struct_0(k1_ami_3)) ) => ( ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( r1_xxreal_0(I,k17_scm_comp(E)) => k1_funct_1(G,k10_ami_3(I)) = k1_funct_1(H,k10_ami_3(I)) ) ) => k12_scm_comp(G,E) = k12_scm_comp(H,E) ) ) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_ami_3)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(J,u1_struct_0(k1_ami_3)) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_ami_3)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(K,u1_struct_0(k1_ami_3)) ) => ( ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( r1_xxreal_0(L,k17_scm_comp(F)) => k1_funct_1(J,k10_ami_3(L)) = k1_funct_1(K,k10_ami_3(L)) ) ) => k12_scm_comp(J,F) = k12_scm_comp(K,F) ) ) ) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_ami_3)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(M,u1_struct_0(k1_ami_3)) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_ami_3)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(N,u1_struct_0(k1_ami_3)) ) => ( ! [O] : ( m1_subset_1(O,k4_ordinal1) => ( r1_xxreal_0(O,k17_scm_comp(k6_trees_4(A,E,F))) => k1_funct_1(M,k10_ami_3(O)) = k1_funct_1(N,k10_ami_3(O)) ) ) => k12_scm_comp(M,k6_trees_4(A,E,F)) = k12_scm_comp(N,k6_trees_4(A,E,F)) ) ) ) ) ) ) ) ) => ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,u1_struct_0(k1_ami_3)) & v1_funct_1(P) & v5_funct_1(P,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(P,u1_struct_0(k1_ami_3)) ) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_ami_3)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(Q,u1_struct_0(k1_ami_3)) ) => ( ! [R] : ( m1_subset_1(R,k4_ordinal1) => ( r1_xxreal_0(R,k17_scm_comp(A)) => k1_funct_1(P,k10_ami_3(R)) = k1_funct_1(Q,k10_ami_3(R)) ) ) => k12_scm_comp(P,A) = k12_scm_comp(Q,A) ) ) ) ) )).
fof(s2_bintree1__e3_29__scm_comp,axiom,( ( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k6_dtconstr(k1_scm_comp)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_ami_3)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_tarski(k61_valued_1(k15_scm_comp(k8_dtconstr(k1_scm_comp,A),C),D),B) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) & v5_memstr_0(E,k5_card_1(2),k1_ami_3,D) ) => ~ ( ~ r1_xxreal_0(C,k17_scm_comp(k8_dtconstr(k1_scm_comp,A))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_ami_3)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(G,u1_struct_0(k1_ami_3)) ) => ~ ( G = k5_extpro_1(k5_card_1(2),k1_ami_3,B,E,k1_nat_1(F,1)) & k1_nat_1(F,1) = k1_afinsq_1(k15_scm_comp(k8_dtconstr(k1_scm_comp,A),C)) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,E,F)) = k1_nat_1(D,F) & k5_memstr_0(k5_card_1(2),k1_ami_3,G) = k1_nat_1(D,k1_nat_1(F,1)) & k1_funct_1(G,k10_ami_3(C)) = k12_scm_comp(E,k8_dtconstr(k1_scm_comp,A)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ~ r1_xxreal_0(C,H) => k1_funct_1(E,k10_ami_3(H)) = k1_funct_1(G,k10_ami_3(H)) ) ) ) ) ) ) ) ) ) ) ) ) & ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [I] : ( m1_dtconstr(I,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [J] : ( m1_dtconstr(J,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ( ( r1_lang1(k1_scm_comp,A,k4_pre_poly(u1_struct_0(k1_scm_comp),k1_bintree1(u1_struct_0(k1_scm_comp),I),k1_bintree1(u1_struct_0(k1_scm_comp),J))) & ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_ami_3)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r1_tarski(k61_valued_1(k15_scm_comp(I,L),M),K) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_ami_3)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(N,u1_struct_0(k1_ami_3)) & v5_memstr_0(N,k5_card_1(2),k1_ami_3,M) ) => ~ ( ~ r1_xxreal_0(L,k17_scm_comp(I)) & ! [O] : ( m1_subset_1(O,k4_ordinal1) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,u1_struct_0(k1_ami_3)) & v1_funct_1(P) & v5_funct_1(P,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(P,u1_struct_0(k1_ami_3)) ) => ~ ( P = k5_extpro_1(k5_card_1(2),k1_ami_3,K,N,k1_nat_1(O,1)) & k1_nat_1(O,1) = k1_afinsq_1(k15_scm_comp(I,L)) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,K,N,O)) = k1_nat_1(M,O) & k5_memstr_0(k5_card_1(2),k1_ami_3,P) = k1_nat_1(M,k1_nat_1(O,1)) & k1_funct_1(P,k10_ami_3(L)) = k12_scm_comp(N,I) & ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ( ~ r1_xxreal_0(L,Q) => k1_funct_1(N,k10_ami_3(Q)) = k1_funct_1(P,k10_ami_3(Q)) ) ) ) ) ) ) ) ) ) ) ) & ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,k4_ordinal1) & v5_relat_1(R,u1_compos_1(k1_ami_3)) & v1_funct_1(R) & v1_partfun1(R,k4_ordinal1) ) => ! [S] : ( m1_subset_1(S,k4_ordinal1) => ! [T] : ( m1_subset_1(T,k4_ordinal1) => ( r1_tarski(k61_valued_1(k15_scm_comp(J,S),T),R) => ! [U] : ( ( v1_relat_1(U) & v4_relat_1(U,u1_struct_0(k1_ami_3)) & v1_funct_1(U) & v5_funct_1(U,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(U,u1_struct_0(k1_ami_3)) & v5_memstr_0(U,k5_card_1(2),k1_ami_3,T) ) => ~ ( ~ r1_xxreal_0(S,k17_scm_comp(J)) & ! [V] : ( m1_subset_1(V,k4_ordinal1) => ! [W] : ( ( v1_relat_1(W) & v4_relat_1(W,u1_struct_0(k1_ami_3)) & v1_funct_1(W) & v5_funct_1(W,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(W,u1_struct_0(k1_ami_3)) ) => ~ ( W = k5_extpro_1(k5_card_1(2),k1_ami_3,R,U,k1_nat_1(V,1)) & k1_nat_1(V,1) = k1_afinsq_1(k15_scm_comp(J,S)) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,R,U,V)) = k1_nat_1(T,V) & k5_memstr_0(k5_card_1(2),k1_ami_3,W) = k1_nat_1(T,k1_nat_1(V,1)) & k1_funct_1(W,k10_ami_3(S)) = k12_scm_comp(U,J) & ! [X] : ( m1_subset_1(X,k4_ordinal1) => ( ~ r1_xxreal_0(S,X) => k1_funct_1(U,k10_ami_3(X)) = k1_funct_1(W,k10_ami_3(X)) ) ) ) ) ) ) ) ) ) ) ) ) => ! [Y] : ( ( v1_relat_1(Y) & v4_relat_1(Y,k4_ordinal1) & v5_relat_1(Y,u1_compos_1(k1_ami_3)) & v1_funct_1(Y) & v1_partfun1(Y,k4_ordinal1) ) => ! [Z] : ( m1_subset_1(Z,k4_ordinal1) => ! [A1] : ( m1_subset_1(A1,k4_ordinal1) => ( r1_tarski(k61_valued_1(k15_scm_comp(k6_trees_4(A,I,J),Z),A1),Y) => ! [B1] : ( ( v1_relat_1(B1) & v4_relat_1(B1,u1_struct_0(k1_ami_3)) & v1_funct_1(B1) & v5_funct_1(B1,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B1,u1_struct_0(k1_ami_3)) & v5_memstr_0(B1,k5_card_1(2),k1_ami_3,A1) ) => ~ ( ~ r1_xxreal_0(Z,k17_scm_comp(k6_trees_4(A,I,J))) & ! [C1] : ( m1_subset_1(C1,k4_ordinal1) => ! [D1] : ( ( v1_relat_1(D1) & v4_relat_1(D1,u1_struct_0(k1_ami_3)) & v1_funct_1(D1) & v5_funct_1(D1,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D1,u1_struct_0(k1_ami_3)) ) => ~ ( D1 = k5_extpro_1(k5_card_1(2),k1_ami_3,Y,B1,k1_nat_1(C1,1)) & k1_nat_1(C1,1) = k1_afinsq_1(k15_scm_comp(k6_trees_4(A,I,J),Z)) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,Y,B1,C1)) = k1_nat_1(A1,C1) & k5_memstr_0(k5_card_1(2),k1_ami_3,D1) = k1_nat_1(A1,k1_nat_1(C1,1)) & k1_funct_1(D1,k10_ami_3(Z)) = k12_scm_comp(B1,k6_trees_4(A,I,J)) & ! [E1] : ( m1_subset_1(E1,k4_ordinal1) => ( ~ r1_xxreal_0(Z,E1) => k1_funct_1(B1,k10_ami_3(E1)) = k1_funct_1(D1,k10_ami_3(E1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [F1] : ( ( v1_relat_1(F1) & v4_relat_1(F1,k4_ordinal1) & v5_relat_1(F1,u1_compos_1(k1_ami_3)) & v1_funct_1(F1) & v1_partfun1(F1,k4_ordinal1) ) => ! [G1] : ( m1_subset_1(G1,k4_ordinal1) => ! [H1] : ( m1_subset_1(H1,k4_ordinal1) => ( r1_tarski(k61_valued_1(k15_scm_comp(A,G1),H1),F1) => ! [I1] : ( ( v1_relat_1(I1) & v4_relat_1(I1,u1_struct_0(k1_ami_3)) & v1_funct_1(I1) & v5_funct_1(I1,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(I1,u1_struct_0(k1_ami_3)) & v5_memstr_0(I1,k5_card_1(2),k1_ami_3,H1) ) => ~ ( ~ r1_xxreal_0(G1,k17_scm_comp(A)) & ! [J1] : ( m1_subset_1(J1,k4_ordinal1) => ! [K1] : ( ( v1_relat_1(K1) & v4_relat_1(K1,u1_struct_0(k1_ami_3)) & v1_funct_1(K1) & v5_funct_1(K1,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(K1,u1_struct_0(k1_ami_3)) ) => ~ ( K1 = k5_extpro_1(k5_card_1(2),k1_ami_3,F1,I1,k1_nat_1(J1,1)) & k1_nat_1(J1,1) = k1_afinsq_1(k15_scm_comp(A,G1)) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F1,I1,J1)) = k1_nat_1(H1,J1) & k5_memstr_0(k5_card_1(2),k1_ami_3,K1) = k1_nat_1(H1,k1_nat_1(J1,1)) & k1_funct_1(K1,k10_ami_3(G1)) = k12_scm_comp(I1,A) & ! [L1] : ( m1_subset_1(L1,k4_ordinal1) => ( ~ r1_xxreal_0(G1,L1) => k1_funct_1(I1,k10_ami_3(L1)) = k1_funct_1(K1,k10_ami_3(L1)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_card_2__e13_56_2__classes2,axiom,( ! [A] : ( v1_finset_1(A) => ( ( A != k1_xboole_0 & ! [B] : ! [C] : ( r1_ordinal1(k6_classes1(C),k6_classes1(B)) | r1_ordinal1(k6_classes1(B),k6_classes1(C)) ) & ! [B] : ! [C] : ! [D] : ( ( r1_ordinal1(k6_classes1(C),k6_classes1(B)) & r1_ordinal1(k6_classes1(D),k6_classes1(C)) ) => r1_ordinal1(k6_classes1(D),k6_classes1(B)) ) ) => ? [B] : ( r2_hidden(B,A) & ! [C] : ( r2_hidden(C,A) => r1_ordinal1(k6_classes1(C),k6_classes1(B)) ) ) ) ) )).
fof(s2_card_2__e5_89_1__card_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B) ) => ( ( B != k1_xboole_0 & ! [C] : ! [D] : ( r1_ordinal1(k1_card_1(k1_funct_1(A,D)),k1_card_1(k1_funct_1(A,C))) | r1_ordinal1(k1_card_1(k1_funct_1(A,C)),k1_card_1(k1_funct_1(A,D))) ) & ! [C] : ! [D] : ! [E] : ( ( r1_ordinal1(k1_card_1(k1_funct_1(A,D)),k1_card_1(k1_funct_1(A,C))) & r1_ordinal1(k1_card_1(k1_funct_1(A,E)),k1_card_1(k1_funct_1(A,D))) ) => r1_ordinal1(k1_card_1(k1_funct_1(A,E)),k1_card_1(k1_funct_1(A,C))) ) ) => ? [C] : ( r2_hidden(C,B) & ! [D] : ( r2_hidden(D,B) => r1_ordinal1(k1_card_1(k1_funct_1(A,D)),k1_card_1(k1_funct_1(A,C))) ) ) ) ) )).
fof(s2_card_2__e6_30_1_5_1__zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) & v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,k4_zf_refle(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k4_zf_refle(A,B)))) ) => ( ( k2_zf_model(k5_zf_lang(k23_zf_lang(C))) != k1_xboole_0 & ! [E] : ! [F] : ( ! [G] : ( ( v3_ordinal1(G) & m1_subset_1(G,A) ) => ( r2_tarski(k1_funct_1(D,E),k5_zf_refle(A,B,G)) => r2_tarski(k1_funct_1(D,F),k5_zf_refle(A,B,G)) ) ) | ! [H] : ( ( v3_ordinal1(H) & m1_subset_1(H,A) ) => ( r2_tarski(k1_funct_1(D,F),k5_zf_refle(A,B,H)) => r2_tarski(k1_funct_1(D,E),k5_zf_refle(A,B,H)) ) ) ) & ! [E] : ! [F] : ! [I] : ( ( ! [J] : ( ( v3_ordinal1(J) & m1_subset_1(J,A) ) => ( r2_tarski(k1_funct_1(D,E),k5_zf_refle(A,B,J)) => r2_tarski(k1_funct_1(D,F),k5_zf_refle(A,B,J)) ) ) & ! [K] : ( ( v3_ordinal1(K) & m1_subset_1(K,A) ) => ( r2_tarski(k1_funct_1(D,F),k5_zf_refle(A,B,K)) => r2_tarski(k1_funct_1(D,I),k5_zf_refle(A,B,K)) ) ) ) => ! [L] : ( ( v3_ordinal1(L) & m1_subset_1(L,A) ) => ( r2_tarski(k1_funct_1(D,E),k5_zf_refle(A,B,L)) => r2_tarski(k1_funct_1(D,I),k5_zf_refle(A,B,L)) ) ) ) ) => ? [E] : ( r2_hidden(E,k2_zf_model(k5_zf_lang(k23_zf_lang(C)))) & ! [F] : ( r2_hidden(F,k2_zf_model(k5_zf_lang(k23_zf_lang(C)))) => ! [M] : ( ( v3_ordinal1(M) & m1_subset_1(M,A) ) => ( r2_tarski(k1_funct_1(D,E),k5_zf_refle(A,B,M)) => r2_tarski(k1_funct_1(D,F),k5_zf_refle(A,B,M)) ) ) ) ) ) ) )).
fof(s2_card_3__e6_44__funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(A)) => ! [E] : ( r2_hidden(E,k1_funct_1(C,D)) <=> ( r2_hidden(E,k1_funct_1(k1_funct_6(A),D)) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & F = k1_funct_1(A,D) & k1_funct_1(F,E) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(s2_cgames_1__e3_73__cgames_1,axiom,( ? [A] : ( v2_cgames_1(A) & ~ r2_tarski(k3_cgames_1,k10_cgames_1(A)) ) => ? [A] : ( v2_cgames_1(A) & ~ r2_tarski(k3_cgames_1,k10_cgames_1(A)) & ! [B] : ( v2_cgames_1(B) => ~ ( r2_tarski(B,k8_cgames_1(A)) & ~ r2_tarski(k3_cgames_1,k10_cgames_1(B)) ) ) ) )).
fof(s2_cgames_1__e3_82__cgames_1,axiom,( ? [A] : ( v2_cgames_1(A) & k13_cgames_1(k13_cgames_1(A)) != A ) => ? [A] : ( v2_cgames_1(A) & k13_cgames_1(k13_cgames_1(A)) != A & ! [B] : ( v2_cgames_1(B) => ~ ( r2_tarski(B,k8_cgames_1(A)) & k13_cgames_1(k13_cgames_1(B)) != B ) ) ) )).
fof(s2_chain_1__e3_24__chain_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( ! [B] : ( m1_subset_1(B,k1_numbers) => ( r2_tarski(B,A) => ? [C] : ( m1_subset_1(C,k1_numbers) & r2_tarski(C,k6_domain_1(k1_numbers,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k6_domain_1(k1_numbers,B)) => r1_xxreal_0(D,C) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) ) => ( ( r2_tarski(B,A) & r1_tarski(E,A) & ? [F] : ( m1_subset_1(F,k1_numbers) & r2_tarski(F,E) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,E) => r1_xxreal_0(G,F) ) ) ) ) => ( r2_tarski(B,E) | ? [H] : ( m1_subset_1(H,k1_numbers) & r2_tarski(H,k4_subset_1(k1_numbers,E,k6_domain_1(k1_numbers,B))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,k4_subset_1(k1_numbers,E,k6_domain_1(k1_numbers,B))) => r1_xxreal_0(I,H) ) ) ) ) ) ) ) ) => ? [J] : ( m1_subset_1(J,k1_numbers) & r2_tarski(J,A) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,A) => r1_xxreal_0(K,J) ) ) ) ) ) )).
fof(s2_chain_1__e3_25__chain_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( ! [B] : ( m1_subset_1(B,k1_numbers) => ( r2_tarski(B,A) => ? [C] : ( m1_subset_1(C,k1_numbers) & r2_tarski(C,k6_domain_1(k1_numbers,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k6_domain_1(k1_numbers,B)) => r1_xxreal_0(C,D) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) ) => ( ( r2_tarski(B,A) & r1_tarski(E,A) & ? [F] : ( m1_subset_1(F,k1_numbers) & r2_tarski(F,E) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,E) => r1_xxreal_0(F,G) ) ) ) ) => ( r2_tarski(B,E) | ? [H] : ( m1_subset_1(H,k1_numbers) & r2_tarski(H,k4_subset_1(k1_numbers,E,k6_domain_1(k1_numbers,B))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,k4_subset_1(k1_numbers,E,k6_domain_1(k1_numbers,B))) => r1_xxreal_0(H,I) ) ) ) ) ) ) ) ) => ? [J] : ( m1_subset_1(J,k1_numbers) & r2_tarski(J,A) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,A) => r1_xxreal_0(J,K) ) ) ) ) ) )).
fof(s2_chain_1__e5_63_2_1_1__roughs_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) & ~ v2_struct_0(C) & v8_struct_0(C) & l1_orders_2(C) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r2_tarski(E,D) => k3_funct_2(k1_zfmisc_1(u1_struct_0(C)),k1_zfmisc_1(u1_struct_0(C)),k4_roughs_2(C),k6_domain_1(u1_struct_0(C),E)) = k1_funct_1(B,k6_domain_1(u1_struct_0(C),E)) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) ) => ( ( r2_tarski(E,D) & r1_tarski(F,D) & k3_funct_2(k1_zfmisc_1(u1_struct_0(C)),k1_zfmisc_1(u1_struct_0(C)),k4_roughs_2(C),F) = k1_funct_1(B,F) ) => ( r2_tarski(E,F) | k3_funct_2(k1_zfmisc_1(u1_struct_0(C)),k1_zfmisc_1(u1_struct_0(C)),k4_roughs_2(C),k4_subset_1(u1_struct_0(C),F,k6_domain_1(u1_struct_0(C),E))) = k1_funct_1(B,k4_subset_1(u1_struct_0(C),F,k6_domain_1(u1_struct_0(C),E))) ) ) ) ) ) => k3_funct_2(k1_zfmisc_1(u1_struct_0(C)),k1_zfmisc_1(u1_struct_0(C)),k4_roughs_2(C),D) = k1_funct_1(B,D) ) ) )).
fof(s2_classes1__e1_1__int_4,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k2_xcmplx_0(B,D) ) ) ) ) )).
fof(s2_classes1__e1_2__graph_5,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_finseq_1(B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k2_finseq_1(B)) => k1_funct_1(C,D) = k4_finseq_2(D,A) ) ) ) ) )).
fof(s2_classes1__e1_40__msafree5,axiom,( ! [A] : ! [B] : ( ( v3_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k7_finseq_1(B,D) ) ) ) ) )).
fof(s2_classes1__e1_6__int_4,axiom,( ! [A] : ! [B] : ( ( v3_membered(A) & v1_xreal_0(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k3_xcmplx_0(B,D) ) ) ) ) )).
fof(s2_compl_sp__e4_50__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & l1_metric_1(A) & v1_xreal_0(B) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( E = C & F = D ) => r1_xxreal_0(B,k3_metric_1(A,E,F)) ) ) ) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( G = D & H = C ) => r1_xxreal_0(B,k3_metric_1(A,G,H)) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( I = C & J = C ) => r1_xxreal_0(B,k3_metric_1(A,I,J)) ) ) ) ) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_tarski(D,C) & r2_tarski(K,C) ) => ( D = K | ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ( L = D & M = K ) => r1_xxreal_0(B,k3_metric_1(A,L,M)) ) ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & r2_tarski(K,C) & ~ ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ( ( N = D & O = K ) => r1_xxreal_0(B,k3_metric_1(A,N,O)) ) ) ) ) ) ) ) ) )).
fof(s2_comput_1__e7_169__comput_1,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_recdef_1(k16_comput_1,k2_finseq_4(k4_ordinal1,A,B)) = k2_nat_1(A,B) ) ) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_recdef_1(k3_relat_1(k5_funct_6(k9_finseq_1(k5_comput_1(2,1))),k4_comput_1(1,1)),k2_finseq_4(k4_ordinal1,A,B)) = k1_nat_1(A,1) ) ) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_recdef_1(k5_comput_1(2,2),k2_finseq_4(k4_ordinal1,A,B)) = B ) ) ) => ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k1_recdef_1(k3_relat_1(k5_funct_6(k10_finseq_1(k3_relat_1(k5_funct_6(k9_finseq_1(k5_comput_1(2,1))),k4_comput_1(1,1)),k5_comput_1(2,2))),k16_comput_1),k2_finseq_4(k4_ordinal1,A,B)) = k2_nat_1(k1_nat_1(A,1),B) ) ) )).
fof(s2_domain_1__e2_21__domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => m1_subset_1(a_2_0_domain_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(s2_exchsort__e7_138__exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_exchsort(B) & v2_exchsort(B,k5_numbers) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v3_ordinal1(D) ) => ( ( r2_tarski(B,k9_funct_2(D,C)) & v1_finset_1(k1_card_1(k6_exchsort(A,B))) & ! [E] : ( m1_subset_1(E,k9_funct_2(D,C)) => ~ ( k1_card_1(k6_exchsort(A,E)) != k1_xboole_0 & ! [F] : ( m1_subset_1(F,k9_funct_2(D,C)) => ~ ( ? [G] : ( m2_subset_1(G,k4_ordinal1,k2_afinsq_1(B)) & ? [H] : ( m2_subset_1(H,k4_ordinal1,k2_afinsq_1(B)) & r2_hidden(k4_tarski(G,H),k6_exchsort(A,E)) & F = k9_funct_7(E,G,H) ) ) & r2_xboole_0(k1_card_1(k6_exchsort(A,F)),k1_card_1(k6_exchsort(A,E))) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_exchsort(E) & v2_exchsort(E,k5_numbers) & ? [F] : ( m1_subset_1(F,k9_funct_2(D,C)) & F = k4_exchsort(E) & k1_card_1(k6_exchsort(A,F)) = k1_xboole_0 & k1_funct_1(E,k5_numbers) = B & ! [I] : ( v3_ordinal1(I) => ~ ( r2_tarski(k1_ordinal1(I),k2_afinsq_1(E)) & ! [J] : ( m1_subset_1(J,k9_funct_2(D,C)) => ! [K] : ( m1_subset_1(K,k9_funct_2(D,C)) => ~ ( J = k1_funct_1(E,I) & K = k1_funct_1(E,k1_ordinal1(I)) & ? [L] : ( m2_subset_1(L,k4_ordinal1,k2_afinsq_1(B)) & ? [M] : ( m2_subset_1(M,k4_ordinal1,k2_afinsq_1(B)) & r2_hidden(k4_tarski(L,M),k6_exchsort(A,J)) & K = k9_funct_7(J,L,M) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_fib_num2__e6_55__fib_num2,axiom,( ( ~ r1_xxreal_0(k1_pre_ff(k1_nat_1(2,1)),k1_pre_ff(2)) & ~ r1_xxreal_0(k1_pre_ff(k1_nat_1(3,1)),k1_pre_ff(3)) & ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ( ( ~ r1_xxreal_0(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(A)) & ~ r1_xxreal_0(k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1)),k1_pre_ff(k1_nat_1(A,1))) ) => ~ r1_xxreal_0(k1_pre_ff(k1_nat_1(k1_nat_1(A,2),1)),k1_pre_ff(k1_nat_1(A,2))) ) ) ) => ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ~ r1_xxreal_0(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(A)) ) )).
fof(s2_fib_num__e3_12__fib_num,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( k3_int_2(k1_pre_ff(A),k1_pre_ff(B)) = k1_pre_ff(k3_int_2(A,B)) => k3_int_2(k1_pre_ff(B),k1_pre_ff(A)) = k1_pre_ff(k3_int_2(B,A)) ) ) ) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,B) & ~ r1_xxreal_0(A,C) & k3_int_2(k1_pre_ff(B),k1_pre_ff(C)) != k1_pre_ff(k3_int_2(B,C)) ) ) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(B,A) => k3_int_2(k1_pre_ff(A),k1_pre_ff(B)) = k1_pre_ff(k3_int_2(A,B)) ) ) ) ) ) => ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_int_2(k1_pre_ff(A),k1_pre_ff(B)) = k1_pre_ff(k3_int_2(A,B)) ) ) )).
fof(s2_filter_1__e3_12__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_filter_1(C,A,B) ) => ( ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,D),k9_eqrel_1(A,B,E)) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,D)) ) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),D,E) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),E,D) ) ) ) ) )).
fof(s2_filter_1__e3_18__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_filter_1(C,A,B) & m2_filter_1(D,A,B) ) => ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,E),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,F))) = k9_eqrel_1(A,B,E) ) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),E,k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),E,F)) = E ) ) ) ) )).
fof(s2_finseq_1__e100_68__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m2_finseq_1(D,u1_struct_0(B)) & m2_finseq_1(E,u1_struct_0(B)) & m2_finseq_1(F,u1_struct_0(B)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(k8_finseq_1(u1_struct_0(B),E,D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k3_rlvect_1(B,k7_partfun1(u1_struct_0(B),k4_rmod_4(A,B,k8_finseq_1(u1_struct_0(B),E,D),C),H),k7_partfun1(u1_struct_0(B),F,H)) ) ) ) ) )).
fof(s2_finseq_1__e10_23_1_2__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_msualg_6(B,A) & l3_msualg_1(B,A) & m1_rewrite1(C,k3_msualg_6(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(u3_msualg_1(A,B),k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e10_44__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k2_nat_1(k3_finseq_1(C),k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k3_xboole_0(k1_funct_1(C,k1_nat_1(k3_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1)),k1_funct_1(D,k1_nat_1(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1))) ) ) ) ) )).
fof(s2_finseq_1__e10_46_1__group_10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & m2_finseq_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k7_xcmplx_0(k1_funct_1(B,D),A) ) ) ) ) )).
fof(s2_finseq_1__e11_26__pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v6_trees_3(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k15_funcop_1(E,k1_nat_1(B,1),A,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e11_30__circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m2_rlvect_2(C,A,k6_domain_1(u1_struct_0(A),B)) & m2_finseq_1(D,u1_struct_0(A)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e11_3_1_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_finseq_4(B,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e11_3__convex3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m2_rlvect_2(C,A,k6_domain_1(u1_struct_0(A),B)) & m2_finseq_1(D,u1_struct_0(A)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e11_55_1_1__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_finseq_4(C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e11_62__mesfun7c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k2_nat_1(k3_finseq_1(C),k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k3_xboole_0(k1_funct_1(C,k1_nat_1(k3_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1)),k1_funct_1(D,k1_nat_1(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1))) ) ) ) ) )).
fof(s2_finseq_1__e11_6_1_1_3__gobrd10,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k7_nat_d(k1_nat_1(A,1),B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k7_nat_d(k1_nat_1(A,1),D) ) ) ) ) )).
fof(s2_finseq_1__e11_88_1_1__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_finseq_4(B,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e12_34__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = C & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(k10_finseq_1(A,B),k1_recdef_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e12_39__int_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_int_1(B) & v1_int_1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k2_xcmplx_0(C,k3_xcmplx_0(k6_xcmplx_0(E,1),B)) ) ) ) ) )).
fof(s2_finseq_1__e12_5_1_1__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k4_ordinal1) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_finseq_1(k1_nat_1(B,1)),k2_finseq_1(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(B,1)),k2_finseq_1(C)),u1_struct_0(A)))) & m1_subset_1(E,k4_ordinal1) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = E & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_funct_1(D,k4_tarski(k1_nat_1(B,1),G)) ) ) ) ) )).
fof(s2_finseq_1__e12_69_1_1__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_finseq_4(D,k1_funct_1(C,F)) ) ) ) ) )).
fof(s2_finseq_1__e13_61__mesfunc6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k2_nat_1(k3_finseq_1(C),k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k3_xboole_0(k1_funct_1(C,k1_nat_1(k3_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1)),k1_funct_1(D,k1_nat_1(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1))) ) ) ) ) )).
fof(s2_finseq_1__e13_88__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k9_subset_1(A,k1_funct_1(D,F),C) ) ) ) ) )).
fof(s2_finseq_1__e13_8_2__int_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k1_nat_1(C,1) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k3_xcmplx_0(k1_funct_1(A,E),k1_newton(B,E)) ) ) ) ) )).
fof(s2_finseq_1__e14_159_3_1_2__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & ~ v2_struct_0(G) & v2_unialg_1(G) & v3_unialg_1(G) & v4_unialg_1(G) & v3_aofa_000(G) & v4_aofa_000(G) & v5_aofa_000(G) & v6_aofa_000(G) & ~ v10_aofa_000(G) & v11_aofa_000(G) & v12_aofa_000(G) & v5_aofa_a01(G,A,B,C,E) & l3_aofa_a00(G,A,C,u4_aofa_a00(A,B,C,E)) & m1_aofa_000(H,G,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),F,k2_aofa_a01(A,D))) & m1_subset_1(I,u1_struct_0(G)) & v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) & v7_ordinal1(K) ) => ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) & k3_finseq_1(L) = k2_xcmplx_0(K,1) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(L)) => k1_funct_1(L,M) = k1_binop_1(H,k1_funct_1(J,k6_xcmplx_0(M,1)),I) ) ) ) ) )).
fof(s2_finseq_1__e14_20_2__random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & m2_finseq_1(D,B) & m2_finseq_1(E,k2_zfmisc_1(A,B)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k4_tarski(k1_funct_1(C,G),k1_funct_1(D,1)) ) ) ) ) )).
fof(s2_finseq_1__e14_57_1_1_1_1_2_2__wsierp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k4_ordinal1) & m2_finseq_1(B,k4_numbers) & v1_int_1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,E,A)),C),k1_funct_1(B,E)) ) ) ) ) )).
fof(s2_finseq_1__e15_63_1_2__wsierp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_1(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k2_xcmplx_0(1,k5_int_1(k2_xcmplx_0(k3_xcmplx_0(B,k4_int_1(k6_xcmplx_0(F,1),C)),k5_int_1(k6_xcmplx_0(F,1),C)),A)) ) ) ) ) )).
fof(s2_finseq_1__e17_1_1_1__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_finseq_1(k2_xcmplx_0(A,1)),k2_finseq_1(B)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k2_xcmplx_0(A,1)),k2_finseq_1(B)),k1_numbers))) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(C,k4_tarski(k2_xcmplx_0(A,1),F)) ) ) ) ) )).
fof(s2_finseq_1__e17_62_1__pencil_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v6_pencil_1(A) & v8_pencil_1(A) & l1_pre_topc(A) & m2_finseq_1(B,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k3_xboole_0(k1_funct_1(B,E),k1_funct_1(B,k1_nat_1(E,1))) ) ) ) ) )).
fof(s2_finseq_1__e1_100__abcmiz_a,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = A & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k4_tarski(k1_xboole_0,C) ) ) ) ) )).
fof(s2_finseq_1__e1_14_1_1_1_1_2__gr_cy_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_group_1(A,B,E) ) ) ) ) )).
fof(s2_finseq_1__e1_14_1_1_1_2_2__gr_cy_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k5_group_1(A,B,E) ) ) ) ) )).
fof(s2_finseq_1__e1_17_2_3_4__brouwer3,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = A & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k16_toprealc(k1_nat_1(A,1),C) ) ) ) ) )).
fof(s2_finseq_1__e1_20__int_5,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_nat_d(k7_nat_d(A,1),2) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_pepin(C) ) ) ) ) )).
fof(s2_finseq_1__e1_22__polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = A & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k10_finseq_1(C,k7_nat_d(A,C)) ) ) ) ) )).
fof(s2_finseq_1__e1_25_1_1__msualg_8,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(A,k1_funct_1(B,D)) ) ) ) ) )).
fof(s2_finseq_1__e1_25__jordan1h,axiom,( ! [A] : ( ( v1_matrix_0(A) & v1_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_funct_1(k4_pscomp_1,k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,1)) ) ) ) ) )).
fof(s2_finseq_1__e1_28__jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v2_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_funct_1(k5_pscomp_1,k3_matrix_0(u1_struct_0(k15_euclid(2)),A,1,C)) ) ) ) ) )).
fof(s2_finseq_1__e1_2__scpisort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = B & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(A,k1_scmp_gcd(k2_xcmplx_0(C,E))) ) ) ) ) )).
fof(s2_finseq_1__e1_44_1__polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m2_subset_1(B,k14_pre_poly(A),k15_pre_poly(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(k21_pre_poly(A,B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k8_pre_poly(k21_pre_poly(A,k7_partfun1(k15_pre_poly(A),k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,B),D),1)),k5_finseq_2(k3_finseq_2(k15_pre_poly(A)),k3_finseq_1(k21_pre_poly(A,k7_partfun1(k15_pre_poly(A),k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,B),D),1))),k3_pre_poly(k15_pre_poly(A),k7_partfun1(k15_pre_poly(A),k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,B),D),2)))) ) ) ) ) )).
fof(s2_finseq_1__e1_63__int_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = A & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k7_nat_d(C,1) ) ) ) ) )).
fof(s2_finseq_1__e1_6_3__mesfunc4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m2_finseq_1(B,k6_numbers) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_extreal1(A,k12_supinf_2(B,D)) ) ) ) ) )).
fof(s2_finseq_1__e1_6_4__mesfunc4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & m2_finseq_1(B,k6_numbers) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_extreal1(A,k12_supinf_2(B,D)) ) ) ) ) )).
fof(s2_finseq_1__e1_8_1__gr_cy_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k1_nat_1(k7_group_1(A),1) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k5_group_1(A,B,D) ) ) ) ) )).
fof(s2_finseq_1__e1_9__gr_cy_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k6_group_1(A,B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k5_group_1(A,B,D) ) ) ) ) )).
fof(s2_finseq_1__e20_5__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_finseq_1(D,k6_numbers) & v1_prob_2(E) & m2_finseq_1(E,B) & m2_finseq_1(F,k6_numbers) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k2_nat_1(k3_finseq_1(F),k3_finseq_1(D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k3_xboole_0(k1_funct_1(E,k1_nat_1(k3_nat_d(k7_nat_d(H,1),k3_finseq_1(D)),1)),k1_funct_1(C,k1_nat_1(k4_nat_d(k7_nat_d(H,1),k3_finseq_1(D)),1))) ) ) ) ) )).
fof(s2_finseq_1__e21_24__pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & m1_subset_1(C,A) & ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) & v2_funct_1(E) & m2_finseq_1(E,u1_struct_0(k2_pencil_1(A,B,C))) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k4_card_3(k1_funct_7(D,C,k1_tarski(k1_funct_1(E,G)))) ) ) ) ) )).
fof(s2_finseq_1__e21_8_2__int_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_int_1(A) & m2_finseq_1(B,k4_numbers) & m1_subset_1(C,k4_numbers) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k1_nat_1(D,1) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k3_xcmplx_0(k3_xcmplx_0(A,k1_funct_1(B,F)),k1_newton(C,k7_nat_d(F,1))) ) ) ) ) )).
fof(s2_finseq_1__e21_90__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_finseq_1(D,k6_numbers) & v1_prob_2(E) & m2_finseq_1(E,B) & m2_finseq_1(F,k6_numbers) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k2_nat_1(k3_finseq_1(F),k3_finseq_1(D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k3_xboole_0(k1_funct_1(E,k1_nat_1(k3_nat_d(k7_nat_d(H,1),k3_finseq_1(D)),1)),k1_funct_1(C,k1_nat_1(k4_nat_d(k7_nat_d(H,1),k3_finseq_1(D)),1))) ) ) ) ) )).
fof(s2_finseq_1__e23_39_2__circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m3_msaterm(D,A,C) & m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B)))) & m1_subset_1(F,u4_struct_0(A)) & m1_msaterm(G,A,C,k2_msaterm(A,C,F)) & m1_dtconstr(H,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) ) => ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) & k3_finseq_1(I) = k3_finseq_1(G) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => k1_funct_1(I,J) = k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(H))),k1_funct_1(G,J)) ) ) ) ) )).
fof(s2_finseq_1__e24_5__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(k1_msualg_1(A,C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_trees_4(k4_tarski(k1_funct_1(B,k1_funct_1(k1_msualg_1(A,C),E)),k1_funct_1(k1_msualg_1(A,C),E))) ) ) ) ) )).
fof(s2_finseq_1__e27_38__group_10,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) )).
fof(s2_finseq_1__e27_40_2__circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m3_msaterm(D,A,C) & m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B)))) & m1_subset_1(F,u4_struct_0(A)) & m1_msaterm(G,A,C,k2_msaterm(A,C,F)) & m1_subset_1(H,k4_ordinal1) ) => ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) & k3_finseq_1(I) = k3_finseq_1(G) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => k1_funct_1(I,J) = k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,H),k1_funct_1(G,J)) ) ) ) ) )).
fof(s2_finseq_1__e28_8__jgraph_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_borsuk_2(C,k15_euclid(2),A,B) & m2_finseq_1(D,k1_numbers) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e29_21__msualg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(F) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(k7_finseq_1(D,k9_finseq_1(k1_funct_1(F,H))),E)) ) ) ) ) )).
fof(s2_finseq_1__e2_10_1_1_2__prgcor_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k1_nat_1(A,1) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k3_nat_d(A,k2_nat_1(B,k11_newton(2,k7_nat_d(D,1)))) ) ) ) ) )).
fof(s2_finseq_1__e2_120_1_2__polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(k26_polyform(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k2_xcmplx_0(C,1)),k1_vectsp_9(k2_bspace,k21_polyform(A,k6_xcmplx_0(C,2)))) ) ) ) ) )).
fof(s2_finseq_1__e2_145_1_1_1__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) & m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) & v1_modelc_3(D,B) & v3_modelc_3(D,B) & l1_modelc_3(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k1_nat_1(k35_modelc_3(A,B,C,k12_modelc_3(B,D)),1) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(A,B,C),k1_modelc_2(k6_xcmplx_0(k1_modelc_2(F),1))),k12_modelc_3(B,D)),B) ) ) ) ) )).
fof(s2_finseq_1__e2_152_1_1_1_1__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) & m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) & v7_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k1_nat_1(k35_modelc_3(k29_modelc_2(k43_modelc_2,A,D),B,C,k12_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),D),B))),1) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(B),k26_modelc_3(k29_modelc_2(k43_modelc_2,A,D),B,C),k1_modelc_2(k6_xcmplx_0(k1_modelc_2(F),1))),k12_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),D),B))),B) ) ) ) ) )).
fof(s2_finseq_1__e2_159_2_1_2__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & m1_subset_1(F,u4_struct_0(A)) & m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,F,k1_msafree3(A,C))) ) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & k3_finseq_1(H) = k3_finseq_1(G) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k1_funct_1(H,I) = k9_trees_4(k7_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,C))),G,I),E,k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B)) ) ) ) ) )).
fof(s2_finseq_1__e2_17_1_2_10__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)))) & v7_ordinal1(G) ) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & k3_finseq_1(H) = k3_finseq_1(k2_integra2(B,C,D)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k1_funct_1(H,I) = k1_binop_1(F,I,G) ) ) ) ) )).
fof(s2_finseq_1__e2_17_1_2_3__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)))) & v7_ordinal1(G) ) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & k3_finseq_1(H) = k3_finseq_1(k2_integra2(B,C,E)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k1_funct_1(H,I) = k1_binop_1(F,G,I) ) ) ) ) )).
fof(s2_finseq_1__e2_17_1_2_6__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(k2_integra2(B,C,D))),k2_finseq_1(k3_finseq_1(k2_integra2(B,C,E)))),u1_struct_0(A)))) & v7_ordinal1(G) ) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & k3_finseq_1(H) = k3_finseq_1(k2_integra2(B,C,D)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k1_funct_1(H,I) = k1_binop_1(F,I,G) ) ) ) ) )).
fof(s2_finseq_1__e2_20_3_1_1_2_1__random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_xcmplx_0(k3_finseq_1(D),k3_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k4_tarski(k1_funct_1(C,k2_xcmplx_0(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(C)),1)),k1_funct_1(D,k2_xcmplx_0(k3_nat_d(k7_nat_d(F,1),k3_finseq_1(C)),1))) ) ) ) ) )).
fof(s2_finseq_1__e2_23_1_2__circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_msafree2(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(k1_msualg_1(A,k4_msafree2(A,D))) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k4_circuit2(A,B,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,k4_msafree2(A,D)),F),C) ) ) ) ) )).
fof(s2_finseq_1__e2_79__ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = A & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = a_4_2_ec_pf_1(A,B,C,E) ) ) ) ) )).
fof(s2_finseq_1__e30_31_2__pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) & ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) & m2_finseq_1(E,k1_zfmisc_1(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,C))))) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k4_card_3(k1_funct_7(D,k3_pencil_1(A,C),k1_funct_1(E,G))) ) ) ) ) )).
fof(s2_finseq_1__e31_10_1_1_2__prgcor_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k1_nat_1(A,1) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k4_nat_d(A,k2_nat_1(B,k11_newton(2,k7_nat_d(D,1)))) ) ) ) ) )).
fof(s2_finseq_1__e32_38__group_10,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) )).
fof(s2_finseq_1__e34_49__weddwitt,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) )).
fof(s2_finseq_1__e34_54__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) & m2_finseq_1(E,u1_struct_0(B)) & m2_finseq_1(F,u1_struct_0(B)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(k8_finseq_1(u1_struct_0(B),E,D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_finseq_4(k8_finseq_1(u1_struct_0(B),E,D),k1_funct_1(k8_finseq_1(u1_struct_0(B),F,C),H)) ) ) ) ) )).
fof(s2_finseq_1__e34_68__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) & m2_finseq_1(E,u1_struct_0(B)) & m2_finseq_1(F,u1_struct_0(B)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(k8_finseq_1(u1_struct_0(B),E,D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_finseq_4(k8_finseq_1(u1_struct_0(B),E,D),k1_funct_1(k8_finseq_1(u1_struct_0(B),F,C),H)) ) ) ) ) )).
fof(s2_finseq_1__e39_10_1_1_2__prgcor_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k1_nat_1(A,1) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k2_nat_1(B,k11_newton(2,k7_nat_d(D,1))) ) ) ) ) )).
fof(s2_finseq_1__e3_51__rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k2_xcmplx_0(A,1) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k8_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),k2_rlaffin3(k15_euclid(A),B,k1_funct_1(o_2_2_rlaffin3(A,B),E)),C) ) ) ) ) )).
fof(s2_finseq_1__e3_53_1_1__rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k2_xcmplx_0(A,1) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k8_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),k2_rlaffin3(k15_euclid(A),B,k1_funct_1(o_2_2_rlaffin3(A,B),E)),C) ) ) ) ) )).
fof(s2_finseq_1__e3_8__group_8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k6_group_1(A,B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k5_group_1(A,B,D) ) ) ) ) )).
fof(s2_finseq_1__e41_17__convex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v2_convex1(B,A) & m1_rlvect_2(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(B,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e42_2__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(k8_finseq_1(u1_struct_0(A),B,C)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_finseq_4(k8_finseq_1(u1_struct_0(A),B,C),k1_funct_1(k8_finseq_1(u1_struct_0(A),D,E),G)) ) ) ) ) )).
fof(s2_finseq_1__e42_87__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(k8_finseq_1(u1_struct_0(A),B,C)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_finseq_4(k8_finseq_1(u1_struct_0(A),B,C),k1_funct_1(k8_finseq_1(u1_struct_0(A),D,E),G)) ) ) ) ) )).
fof(s2_finseq_1__e45_17__convex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v2_convex1(B,A) & m1_rlvect_2(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(B,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e47_49__jgraph_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) & m2_finseq_1(B,k1_numbers) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(A,k1_funct_1(B,D)) ) ) ) ) )).
fof(s2_finseq_1__e49_17__convex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v2_convex1(B,A) & m1_rlvect_2(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(B,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e4_129__finseq_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(A,k2_xcmplx_0(k3_finseq_1(B),E)) ) ) ) ) )).
fof(s2_finseq_1__e4_40__int_5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & m2_finseq_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k2_int_5(k1_recdef_1(B,D),A) ) ) ) ) )).
fof(s2_finseq_1__e4_5__rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k4_algstr_0(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) ) )).
fof(s2_finseq_1__e4_85__rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m2_finseq_1(C,u1_struct_0(B)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k4_algstr_0(B,k7_partfun1(u1_struct_0(B),C,E)) ) ) ) ) )).
fof(s2_finseq_1__e50_159__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & ~ v2_struct_0(G) & v2_unialg_1(G) & v3_unialg_1(G) & v4_unialg_1(G) & v3_aofa_000(G) & v4_aofa_000(G) & v5_aofa_000(G) & v6_aofa_000(G) & ~ v10_aofa_000(G) & v11_aofa_000(G) & v12_aofa_000(G) & v5_aofa_a01(G,A,B,C,E) & l3_aofa_a00(G,A,C,u4_aofa_a00(A,B,C,E)) & m1_aofa_000(H,G,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),F,k2_aofa_a01(A,D))) & m1_subset_1(I,u1_struct_0(G)) & v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) & v7_ordinal1(K) ) => ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) & k3_finseq_1(L) = k2_xcmplx_0(K,1) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(L)) => k1_funct_1(L,M) = k1_binop_1(H,k1_funct_1(J,k6_xcmplx_0(M,1)),I) ) ) ) ) )).
fof(s2_finseq_1__e51_49__weddwitt,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) )).
fof(s2_finseq_1__e56_17__convex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v2_convex1(B,A) & m1_rlvect_2(B,A) & m2_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(B,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e5_26_1_1_2__circuit1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_4(A,k5_relat_1(B,k2_finseq_1(D))) ) ) ) ) )).
fof(s2_finseq_1__e5_39__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k9_subset_1(A,k1_funct_1(D,F),C) ) ) ) ) )).
fof(s2_finseq_1__e5_42__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))) & v5_pre_topc(C,k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)),k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k4_card_1(B) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = a_5_2_simplex2(A,B,C,D,F) ) ) ) ) )).
fof(s2_finseq_1__e5_46_1__group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_funct_2(B,B)) & v1_group_10(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_funct_2(B,B)))) & m2_finseq_1(D,k14_group_10(A,B,C)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_card_1(k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e5_60__mesfunc6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k9_subset_1(A,k1_funct_1(D,F),C) ) ) ) ) )).
fof(s2_finseq_1__e64_8__jgraph_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_borsuk_2(C,k15_euclid(2),A,B) & m2_finseq_1(D,k1_numbers) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e65_54__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) & m2_finseq_1(E,u1_struct_0(B)) & m2_finseq_1(F,u1_struct_0(B)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(k8_finseq_1(u1_struct_0(B),F,D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_finseq_4(k8_finseq_1(u1_struct_0(B),F,D),k1_funct_1(k8_finseq_1(u1_struct_0(B),E,C),H)) ) ) ) ) )).
fof(s2_finseq_1__e66_68__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m2_finseq_1(C,u1_struct_0(B)) & m2_finseq_1(D,u1_struct_0(B)) & m2_finseq_1(E,u1_struct_0(B)) & m2_finseq_1(F,u1_struct_0(B)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(k8_finseq_1(u1_struct_0(B),F,D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_finseq_4(k8_finseq_1(u1_struct_0(B),F,D),k1_funct_1(k8_finseq_1(u1_struct_0(B),E,C),H)) ) ) ) ) )).
fof(s2_finseq_1__e69_13_1_1_2__brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k1_nat_1(A,1) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k16_toprealc(k1_nat_1(k1_nat_1(A,1),1),C) ) ) ) ) )).
fof(s2_finseq_1__e6_103__finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(B,A) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(B,k1_nat_1(E,1)) ) ) ) ) )).
fof(s2_finseq_1__e6_120_1_2__polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(k26_polyform(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k2_xcmplx_0(C,1)),k1_vectsp_9(k2_bspace,k19_polyform(A,k6_xcmplx_0(C,1)))) ) ) ) ) )).
fof(s2_finseq_1__e6_17_1__group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(B,k1_nat_1(E,1)) ) ) ) ) )).
fof(s2_finseq_1__e6_47__fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k8_afinsq_1(A)) & ~ v2_struct_0(C) & l1_rewrite3(C,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A)))) & m1_rewrite1(D,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),C)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k4_tarski(k1_xtuple_0(k1_funct_1(D,F)),k7_fsm_3(A,k2_rewrite3(k1_funct_1(D,F),A),B)) ) ) ) ) )).
fof(s2_finseq_1__e6_8_1__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(A)) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = a_6_0_msscyc_2(A,B,C,D,E,G) ) ) ) ) )).
fof(s2_finseq_1__e6_95_2__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k9_subset_1(A,k1_funct_1(E,G),k9_subset_1(A,k1_relset_1(A,D),C)) ) ) ) ) )).
fof(s2_finseq_1__e70_2__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(k8_finseq_1(u1_struct_0(A),D,E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_finseq_4(k8_finseq_1(u1_struct_0(A),D,E),k1_funct_1(k8_finseq_1(u1_struct_0(A),B,C),G)) ) ) ) ) )).
fof(s2_finseq_1__e70_87__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(k8_finseq_1(u1_struct_0(A),D,E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_finseq_4(k8_finseq_1(u1_struct_0(A),D,E),k1_funct_1(k8_finseq_1(u1_struct_0(A),B,C),G)) ) ) ) ) )).
fof(s2_finseq_1__e71_7__convex3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) & m2_rlvect_2(E,A,B) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(k17_finseq_1(u1_struct_0(A),D,C)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_funct_1(E,k1_funct_1(k17_finseq_1(u1_struct_0(A),D,C),G)) ) ) ) ) )).
fof(s2_finseq_1__e73_49__jgraph_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) & m2_finseq_1(B,k1_numbers) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(A,k1_funct_1(B,D)) ) ) ) ) )).
fof(s2_finseq_1__e7_108_1__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) & v1_funct_1(B) & v1_funct_2(B,k22_modelc_3(A),k22_modelc_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A),k22_modelc_3(A)))) & v7_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(k29_modelc_1(k22_modelc_3(A),B,k1_modelc_2(F)),C) ) ) ) ) )).
fof(s2_finseq_1__e7_12__int_8,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = B & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k3_xcmplx_0(D,A) ) ) ) ) )).
fof(s2_finseq_1__e7_143_1_1__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_aofa_000(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,B) & v7_ordinal1(G) ) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & k3_finseq_1(H) = k1_nat_1(G,1) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k1_funct_1(H,I) = k3_funct_2(B,B,k1_abian(B,k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),k7_nat_d(I,1)),F) ) ) ) ) )).
fof(s2_finseq_1__e7_31__circled1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k7_domain_1(u1_struct_0(A),B,C)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_funct_1(D,k1_funct_1(E,G)) ) ) ) ) )).
fof(s2_finseq_1__e7_33_1_2__group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),D),1)) ) ) ) ) )).
fof(s2_finseq_1__e7_44_1__polynom1,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & m2_subset_1(B,k14_pre_poly(A),k15_pre_poly(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(k21_pre_poly(A,B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k8_pre_poly(k5_finseq_2(k3_finseq_2(k15_pre_poly(A)),k3_finseq_1(k21_pre_poly(A,k7_partfun1(k15_pre_poly(A),k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,B),D),2))),k3_pre_poly(k15_pre_poly(A),k7_partfun1(k15_pre_poly(A),k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,B),D),1))),k21_pre_poly(A,k7_partfun1(k15_pre_poly(A),k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,B),D),2))) ) ) ) ) )).
fof(s2_finseq_1__e7_4__convex3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k7_domain_1(u1_struct_0(A),B,C)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_funct_1(D,k1_funct_1(E,G)) ) ) ) ) )).
fof(s2_finseq_1__e7_85_1_3__group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m2_finseq_1(C,u1_struct_0(B)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_funct_1(C,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C),E),1)) ) ) ) ) )).
fof(s2_finseq_1__e7_9__entropy1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) ) ) ) )).
fof(s2_finseq_1__e8_44_1__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(o_2_3_simplex2(A,B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k7_subset_1(u1_struct_0(k15_euclid(A)),C,k3_convex1(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),B,k1_tarski(k1_funct_1(o_2_3_simplex2(A,B),E))))) ) ) ) ) )).
fof(s2_finseq_1__e8_72__rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k8_afinsq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(D) & l1_rewrite3(D,C) & m1_rewrite1(E,k1_rewrite3(A,C,D)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k4_tarski(k1_xtuple_0(k1_funct_1(E,G)),k1_flang_1(A,k2_rewrite3(k1_funct_1(E,G),A),B)) ) ) ) ) )).
fof(s2_finseq_1__e8_85_1_2__group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_subset_1(C,A) & m2_finseq_1(D,u1_struct_0(B)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k1_funct_1(k3_group_9(A,B,C),k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e8_8_1_2__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u4_struct_0(A)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(k1_msualg_1(A,D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = a_5_3_msscyc_2(A,B,C,D,F) ) ) ) ) )).
fof(s2_finseq_1__e92_2__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(k8_finseq_1(u1_struct_0(A),C,D)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k3_rlvect_1(A,k7_partfun1(u1_struct_0(A),k5_rlvect_2(A,k8_finseq_1(u1_struct_0(A),C,D),B),G),k7_partfun1(u1_struct_0(A),E,G)) ) ) ) ) )).
fof(s2_finseq_1__e92_87__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) & m2_finseq_1(E,u1_struct_0(A)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(k8_finseq_1(u1_struct_0(A),C,D)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k3_rlvect_1(A,k7_partfun1(u1_struct_0(A),k20_zmodul02(A,k8_finseq_1(u1_struct_0(A),C,D),B),G),k7_partfun1(u1_struct_0(A),E,G)) ) ) ) ) )).
fof(s2_finseq_1__e95_54__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m2_finseq_1(D,u1_struct_0(B)) & m2_finseq_1(E,u1_struct_0(B)) & m2_finseq_1(F,u1_struct_0(B)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(k8_finseq_1(u1_struct_0(B),E,D)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k3_rlvect_1(B,k7_partfun1(u1_struct_0(B),k3_vectsp_6(A,B,k8_finseq_1(u1_struct_0(B),E,D),C),H),k7_partfun1(u1_struct_0(B),F,H)) ) ) ) ) )).
fof(s2_finseq_1__e9_29__pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m2_finseq_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_finseq_1__e9_34__int_8,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k1_euler_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_newton(A,D) ) ) ) ) )).
fof(s2_finseq_1__e9_48__int_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,k4_ordinal1) & m2_finseq_1(B,k4_ordinal1) & m2_finseq_1(C,k4_ordinal1) & m2_finseq_1(D,k4_ordinal1) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k2_xcmplx_0(k3_finseq_1(B),1) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k3_xcmplx_0(k3_xcmplx_0(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,F,A)),k1_recdef_1(C,F)),k1_recdef_1(D,F)) ) ) ) ) )).
fof(s2_finseq_1__e9_5__convex3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m2_rlvect_2(E,A,k8_domain_1(u1_struct_0(A),B,C,D)) & m2_finseq_1(F,u1_struct_0(A)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(F) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_funct_1(E,k1_funct_1(F,H)) ) ) ) ) )).
fof(s2_finseq_1__e9_6_1_1_1__gobrd10,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k7_nat_d(k1_nat_1(B,1),A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k7_nat_d(k2_xcmplx_0(A,D),1) ) ) ) ) )).
fof(s2_finseq_1__e9_70__uniroots,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,u1_struct_0(k1_complfld)) & m1_subset_1(B,u1_struct_0(k1_complfld)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k9_complex1(k5_algstr_0(k1_complfld,B,k7_partfun1(u1_struct_0(k1_complfld),A,D))) ) ) ) ) )).
fof(s2_finseq_1__e9_88__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k3_finseq_1(E) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k1_funct_1(E,F) = k9_subset_1(A,k1_funct_1(D,F),C) ) ) ) ) )).
fof(s2_finseq_1__e9_9_1_1_4__circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_msafree2(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k1_funct_1(F,G) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),k3_circuit2(A,B,C),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,k4_msafree2(A,D)),G)),k1_funct_1(E,G)) ) ) ) ) )).
fof(s2_finseq_2__e3_10__nat_3,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( r2_tarski(A,k1_rvsum_1(k6_finseq_1(k4_ordinal1))) => r1_nat_d(A,k2_wsierp_1(k6_finseq_1(k4_ordinal1))) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_rvsum_1(B)) => r1_nat_d(D,k2_wsierp_1(B)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_rvsum_1(k7_finseq_1(B,k9_finseq_1(C)))) => r1_nat_d(E,k2_wsierp_1(k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k1_rvsum_1(B)) => r1_nat_d(F,k2_wsierp_1(B)) ) ) ) )).
fof(s2_finseq_2__e3_11__nat_3,axiom,( ( ? [A] : ( m1_trees_4(A,k4_ordinal1,k8_newton) & A = k6_finseq_1(k8_newton) & ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( r1_nat_d(B,k2_wsierp_1(A)) => r2_tarski(B,k1_rvsum_1(A)) ) ) ) & ! [C] : ( m2_finseq_1(C,k8_newton) => ! [D] : ( m1_subset_1(D,k8_newton) => ( ? [E] : ( m1_trees_4(E,k4_ordinal1,k8_newton) & E = C & ! [F] : ( ( v7_ordinal1(F) & v1_int_2(F) ) => ( r1_nat_d(F,k2_wsierp_1(E)) => r2_tarski(F,k1_rvsum_1(E)) ) ) ) => ? [G] : ( m1_trees_4(G,k4_ordinal1,k8_newton) & G = k7_finseq_1(C,k9_finseq_1(D)) & ! [H] : ( ( v7_ordinal1(H) & v1_int_2(H) ) => ( r1_nat_d(H,k2_wsierp_1(G)) => r2_tarski(H,k1_rvsum_1(G)) ) ) ) ) ) ) ) => ! [C] : ( m2_finseq_1(C,k8_newton) => ? [I] : ( m1_trees_4(I,k4_ordinal1,k8_newton) & I = C & ! [J] : ( ( v7_ordinal1(J) & v1_int_2(J) ) => ( r1_nat_d(J,k2_wsierp_1(I)) => r2_tarski(J,k1_rvsum_1(I)) ) ) ) ) )).
fof(s2_finseq_2__e3_13__extreal1,axiom,( ( ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k6_finseq_1(k6_numbers))) & k4_extreal1(k6_finseq_1(k6_numbers)) = k2_supinf_1 ) & ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) & k4_extreal1(A) = k2_supinf_1 ) => ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k7_finseq_1(A,k9_finseq_1(B)))) & k4_extreal1(k7_finseq_1(A,k9_finseq_1(B))) = k2_supinf_1 ) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k6_numbers) => ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) & k4_extreal1(A) = k2_supinf_1 ) ) )).
fof(s2_finseq_2__e3_13__finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(C,A) => ( ( ~ v1_setwiseo(C,A) & ~ ( r1_xxreal_0(1,k3_finseq_1(B)) & r1_xxreal_0(1,k3_finseq_1(k6_finseq_1(A))) ) ) | k1_finsop_1(A,k8_finseq_1(A,B,k6_finseq_1(A)),C) = k4_binop_1(A,C,k1_finsop_1(A,B,C),k1_finsop_1(A,k6_finseq_1(A),C)) ) ) ) ) & ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(G,A) => ( ( ~ v1_setwiseo(G,A) & ~ ( r1_xxreal_0(1,k3_finseq_1(F)) & r1_xxreal_0(1,k3_finseq_1(D)) ) ) | k1_finsop_1(A,k8_finseq_1(A,F,D),G) = k4_binop_1(A,G,k1_finsop_1(A,F,G),k1_finsop_1(A,D,G)) ) ) ) ) => ! [H] : ( m2_finseq_1(H,A) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(A,A),A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(I,A) => ( ( ~ v1_setwiseo(I,A) & ~ ( r1_xxreal_0(1,k3_finseq_1(H)) & r1_xxreal_0(1,k3_finseq_1(k7_finseq_1(D,k9_finseq_1(E)))) ) ) | k1_finsop_1(A,k8_finseq_1(A,H,k7_finseq_1(D,k9_finseq_1(E))),I) = k4_binop_1(A,I,k1_finsop_1(A,H,I),k1_finsop_1(A,k7_finseq_1(D,k9_finseq_1(E)),I)) ) ) ) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,A) => ! [J] : ( m2_finseq_1(J,A) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k2_zfmisc_1(A,A),A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v2_binop_1(K,A) => ( ( ~ v1_setwiseo(K,A) & ~ ( r1_xxreal_0(1,k3_finseq_1(J)) & r1_xxreal_0(1,k3_finseq_1(D)) ) ) | k1_finsop_1(A,k8_finseq_1(A,J,D),K) = k4_binop_1(A,K,k1_finsop_1(A,J,K),k1_finsop_1(A,D,K)) ) ) ) ) ) ) ) )).
fof(s2_finseq_2__e3_141__finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ~ ( k6_finseq_1(A) != k1_xboole_0 & ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => k6_finseq_1(A) != k8_finseq_1(A,k12_finseq_1(A,C),B) ) ) ) & ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ~ ( D != k1_xboole_0 & ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( m1_subset_1(G,A) => D != k8_finseq_1(A,k12_finseq_1(A,G),F) ) ) ) => ~ ( k7_finseq_1(D,k9_finseq_1(E)) != k1_xboole_0 & ! [H] : ( m2_finseq_1(H,A) => ! [I] : ( m1_subset_1(I,A) => k7_finseq_1(D,k9_finseq_1(E)) != k8_finseq_1(A,k12_finseq_1(A,I),H) ) ) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,A) => ~ ( D != k1_xboole_0 & ! [J] : ( m2_finseq_1(J,A) => ! [K] : ( m1_subset_1(K,A) => D != k8_finseq_1(A,k12_finseq_1(A,K),J) ) ) ) ) ) ) )).
fof(s2_finseq_2__e3_15__group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ( k3_group_4(A,k1_group_4(u1_struct_0(A),k6_finseq_1(u1_struct_0(A)),k6_domain_1(u1_struct_0(A),k1_group_1(A)))) = k3_group_4(A,k6_finseq_1(u1_struct_0(A))) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_group_4(A,k1_group_4(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k1_group_1(A)))) = k3_group_4(A,B) => k3_group_4(A,k1_group_4(u1_struct_0(A),k7_finseq_1(B,k9_finseq_1(C)),k6_domain_1(u1_struct_0(A),k1_group_1(A)))) = k3_group_4(A,k7_finseq_1(B,k9_finseq_1(C))) ) ) ) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k3_group_4(A,k1_group_4(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k1_group_1(A)))) = k3_group_4(A,B) ) ) ) )).
fof(s2_finseq_2__e3_15__group_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k3_group_4(A,k1_group_5(A,k6_finseq_1(u1_struct_0(A)),B)) = k2_group_3(A,k3_group_4(A,k6_finseq_1(u1_struct_0(A))),B) & ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_group_4(A,k1_group_5(A,C,B)) = k2_group_3(A,k3_group_4(A,C),B) => k3_group_4(A,k1_group_5(A,k7_finseq_1(C,k9_finseq_1(D)),B)) = k2_group_3(A,k3_group_4(A,k7_finseq_1(C,k9_finseq_1(D))),B) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k3_group_4(A,k1_group_5(A,C,B)) = k2_group_3(A,k3_group_4(A,C),B) ) ) ) )).
fof(s2_finseq_2__e3_15__polyform,axiom,( ( ( ~ r1_xxreal_0(k3_finseq_1(k6_finseq_1(k4_numbers)),k5_numbers) => ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(k6_finseq_1(k4_numbers)) & k3_finseq_1(B) = k3_finseq_1(k6_finseq_1(k4_numbers)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k6_finseq_1(k4_numbers))) ) => k1_funct_1(k6_finseq_1(k4_numbers),C) = k2_xcmplx_0(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(k6_finseq_1(k4_numbers)),C) | k1_funct_1(B,C) = k4_xcmplx_0(k1_funct_1(A,k2_xcmplx_0(C,1))) ) ) ) ) => k16_rvsum_1(k6_finseq_1(k4_numbers)) = k2_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,k3_finseq_1(k6_finseq_1(k4_numbers)))) ) ) ) ) & ! [D] : ( m2_finseq_1(D,k4_numbers) => ! [E] : ( m1_subset_1(E,k4_numbers) => ( ( ~ r1_xxreal_0(k3_finseq_1(D),k5_numbers) => ! [F] : ( m2_finseq_1(F,k4_numbers) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ( ( k3_finseq_1(F) = k3_finseq_1(D) & k3_finseq_1(G) = k3_finseq_1(D) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(D)) ) => k1_funct_1(D,H) = k2_xcmplx_0(k1_funct_1(F,H),k1_funct_1(G,H)) ) ) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(D),H) | k1_funct_1(G,H) = k4_xcmplx_0(k1_funct_1(F,k2_xcmplx_0(H,1))) ) ) ) ) => k16_rvsum_1(D) = k2_xcmplx_0(k1_funct_1(F,1),k1_funct_1(G,k3_finseq_1(D))) ) ) ) ) => ( ~ r1_xxreal_0(k3_finseq_1(k7_finseq_1(D,k9_finseq_1(E))),k5_numbers) => ! [I] : ( m2_finseq_1(I,k4_numbers) => ! [J] : ( m2_finseq_1(J,k4_numbers) => ( ( k3_finseq_1(I) = k3_finseq_1(k7_finseq_1(D,k9_finseq_1(E))) & k3_finseq_1(J) = k3_finseq_1(k7_finseq_1(D,k9_finseq_1(E))) & ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(1,K) & r1_xxreal_0(K,k3_finseq_1(k7_finseq_1(D,k9_finseq_1(E)))) ) => k1_funct_1(k7_finseq_1(D,k9_finseq_1(E)),K) = k2_xcmplx_0(k1_funct_1(I,K),k1_funct_1(J,K)) ) ) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(1,K) => ( r1_xxreal_0(k3_finseq_1(k7_finseq_1(D,k9_finseq_1(E))),K) | k1_funct_1(J,K) = k4_xcmplx_0(k1_funct_1(I,k2_xcmplx_0(K,1))) ) ) ) ) => k16_rvsum_1(k7_finseq_1(D,k9_finseq_1(E))) = k2_xcmplx_0(k1_funct_1(I,1),k1_funct_1(J,k3_finseq_1(k7_finseq_1(D,k9_finseq_1(E))))) ) ) ) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ( ~ r1_xxreal_0(k3_finseq_1(D),k5_numbers) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ( ( k3_finseq_1(L) = k3_finseq_1(D) & k3_finseq_1(M) = k3_finseq_1(D) & ! [N] : ( v7_ordinal1(N) => ( ( r1_xxreal_0(1,N) & r1_xxreal_0(N,k3_finseq_1(D)) ) => k1_funct_1(D,N) = k2_xcmplx_0(k1_funct_1(L,N),k1_funct_1(M,N)) ) ) & ! [N] : ( v7_ordinal1(N) => ( r1_xxreal_0(1,N) => ( r1_xxreal_0(k3_finseq_1(D),N) | k1_funct_1(M,N) = k4_xcmplx_0(k1_funct_1(L,k2_xcmplx_0(N,1))) ) ) ) ) => k16_rvsum_1(D) = k2_xcmplx_0(k1_funct_1(L,1),k1_funct_1(M,k3_finseq_1(D))) ) ) ) ) ) )).
fof(s2_finseq_2__e3_16__polynom5,axiom,( ( r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,k6_finseq_1(u1_struct_0(k1_complfld)))),k18_rvsum_1(k2_polynom5(k6_finseq_1(u1_struct_0(k1_complfld))))) & ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,A)),k18_rvsum_1(k2_polynom5(A))) => r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,k7_finseq_1(A,k9_finseq_1(B)))),k18_rvsum_1(k2_polynom5(k7_finseq_1(A,k9_finseq_1(B))))) ) ) ) ) => ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,A)),k18_rvsum_1(k2_polynom5(A))) ) )).
fof(s2_finseq_2__e3_17__convfun1,axiom,( ( ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k6_finseq_1(k6_numbers))) & k4_extreal1(k6_finseq_1(k6_numbers)) = k2_supinf_1 ) & ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) & k4_extreal1(A) = k2_supinf_1 ) => ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k7_finseq_1(A,k9_finseq_1(B)))) & k4_extreal1(k7_finseq_1(A,k9_finseq_1(B))) = k2_supinf_1 ) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k6_numbers) => ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) & k4_extreal1(A) = k2_supinf_1 ) ) )).
fof(s2_finseq_2__e3_18__convfun1,axiom,( ( ( r2_tarski(k1_supinf_1,k2_relset_1(k6_numbers,k6_finseq_1(k6_numbers))) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k6_finseq_1(k6_numbers))) | k4_extreal1(k6_finseq_1(k6_numbers)) = k1_supinf_1 ) ) & ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( ( r2_tarski(k1_supinf_1,k2_relset_1(k6_numbers,A)) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) | k4_extreal1(A) = k1_supinf_1 ) ) => ( r2_tarski(k1_supinf_1,k2_relset_1(k6_numbers,k7_finseq_1(A,k9_finseq_1(B)))) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k7_finseq_1(A,k9_finseq_1(B)))) | k4_extreal1(k7_finseq_1(A,k9_finseq_1(B))) = k1_supinf_1 ) ) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k6_numbers) => ( r2_tarski(k1_supinf_1,k2_relset_1(k6_numbers,A)) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) | k4_extreal1(A) = k1_supinf_1 ) ) ) )).
fof(s2_finseq_2__e3_19__sppol_2,axiom,( ( k3_topreal1(2,k6_finseq_1(u1_struct_0(k15_euclid(2)))) = k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),k6_finseq_1(u1_struct_0(k15_euclid(2))))) & ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k3_topreal1(2,A) = k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),A)) => k3_topreal1(2,k7_finseq_1(A,k9_finseq_1(B))) = k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),k7_finseq_1(A,k9_finseq_1(B)))) ) ) ) ) => ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => k3_topreal1(2,A) = k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),A)) ) )).
fof(s2_finseq_2__e3_21__group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ( ( ( r1_tarski(k10_xtuple_0(k6_finseq_1(u1_struct_0(A))),k8_group_2(A,B)) => r1_struct_0(B,k3_group_4(A,k6_finseq_1(u1_struct_0(A)))) ) & ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_tarski(k10_xtuple_0(C),k8_group_2(A,B)) => r1_struct_0(B,k3_group_4(A,C)) ) => ( r1_tarski(k10_xtuple_0(k7_finseq_1(C,k9_finseq_1(D))),k8_group_2(A,B)) => r1_struct_0(B,k3_group_4(A,k7_finseq_1(C,k9_finseq_1(D)))) ) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( r1_tarski(k10_xtuple_0(C),k8_group_2(A,B)) => r1_struct_0(B,k3_group_4(A,C)) ) ) ) ) )).
fof(s2_finseq_2__e3_22__nat_3,axiom,( ( ! [A] : ( v7_ordinal1(A) => k21_rvsum_1(k2_nat_3(k6_finseq_1(k1_numbers),k2_xcmplx_0(A,1))) = k3_xcmplx_0(k21_rvsum_1(k2_nat_3(k6_finseq_1(k1_numbers),A)),k21_rvsum_1(k6_finseq_1(k1_numbers))) ) & ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ! [D] : ( v7_ordinal1(D) => k21_rvsum_1(k2_nat_3(B,k2_xcmplx_0(D,1))) = k3_xcmplx_0(k21_rvsum_1(k2_nat_3(B,D)),k21_rvsum_1(B)) ) => ! [E] : ( v7_ordinal1(E) => k21_rvsum_1(k2_nat_3(k7_finseq_1(B,k9_finseq_1(C)),k2_xcmplx_0(E,1))) = k3_xcmplx_0(k21_rvsum_1(k2_nat_3(k7_finseq_1(B,k9_finseq_1(C)),E)),k21_rvsum_1(k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [F] : ( v7_ordinal1(F) => k21_rvsum_1(k2_nat_3(B,k2_xcmplx_0(F,1))) = k3_xcmplx_0(k21_rvsum_1(k2_nat_3(B,F)),k21_rvsum_1(B)) ) ) )).
fof(s2_finseq_2__e3_25__toprealc,axiom,( ( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) & A = k6_finseq_1(k1_numbers) & r1_xxreal_0(k9_complex1(k16_rvsum_1(A)),k18_rvsum_1(k3_euclid(A))) ) & ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v3_valued_0(D) & D = B & r1_xxreal_0(k9_complex1(k16_rvsum_1(D)),k18_rvsum_1(k3_euclid(D))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) & E = k7_finseq_1(B,k9_finseq_1(C)) & r1_xxreal_0(k9_complex1(k16_rvsum_1(E)),k18_rvsum_1(k3_euclid(E))) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v3_valued_0(F) & F = B & r1_xxreal_0(k9_complex1(k16_rvsum_1(F)),k18_rvsum_1(k3_euclid(F))) ) ) )).
fof(s2_finseq_2__e3_2__bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree1(A) ) => ( ( ( m1_trees_1(k6_finseq_1(k4_ordinal1),A) => r1_tarski(k10_xtuple_0(k6_finseq_1(k4_ordinal1)),k5_margrel1) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( m1_trees_1(B,A) => r1_tarski(k10_xtuple_0(B),k5_margrel1) ) => ( m1_trees_1(k7_finseq_1(B,k9_finseq_1(C)),A) => r1_tarski(k10_xtuple_0(k7_finseq_1(B,k9_finseq_1(C))),k5_margrel1) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( m1_trees_1(B,A) => r1_tarski(k10_xtuple_0(B),k5_margrel1) ) ) ) ) )).
fof(s2_finseq_2__e3_2__polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k4_rlvect_1(A,k4_finseq_5(u1_struct_0(A),k6_finseq_1(u1_struct_0(A)))) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k4_rlvect_1(A,B) = k4_rlvect_1(A,k4_finseq_5(u1_struct_0(A),B)) => k4_rlvect_1(A,k7_finseq_1(B,k9_finseq_1(C))) = k4_rlvect_1(A,k4_finseq_5(u1_struct_0(A),k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k4_rlvect_1(A,B) = k4_rlvect_1(A,k4_finseq_5(u1_struct_0(A),B)) ) ) ) )).
fof(s2_finseq_2__e3_30__prelamb,axiom,( ( ( m2_finseq_1(k6_finseq_1(k1_numbers),k4_ordinal1) => v7_ordinal1(k18_rvsum_1(k6_finseq_1(k1_numbers))) ) & ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( ( m2_finseq_1(A,k4_ordinal1) => v7_ordinal1(k18_rvsum_1(A)) ) => ( m2_finseq_1(k7_finseq_1(A,k9_finseq_1(B)),k4_ordinal1) => v7_ordinal1(k18_rvsum_1(k7_finseq_1(A,k9_finseq_1(B)))) ) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k1_numbers) => ( m2_finseq_1(A,k4_ordinal1) => v7_ordinal1(k18_rvsum_1(A)) ) ) )).
fof(s2_finseq_2__e3_37_1__matrprob,axiom,( ( k5_matrprob(k2_matrlin(k1_numbers,k6_finseq_1(k1_numbers))) = k5_matrprob(k4_matrix_0(k1_numbers,k2_matrlin(k1_numbers,k6_finseq_1(k1_numbers)))) & ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( k5_matrprob(k2_matrlin(k1_numbers,A)) = k5_matrprob(k4_matrix_0(k1_numbers,k2_matrlin(k1_numbers,A))) => k5_matrprob(k2_matrlin(k1_numbers,k7_finseq_1(A,k9_finseq_1(B)))) = k5_matrprob(k4_matrix_0(k1_numbers,k2_matrlin(k1_numbers,k7_finseq_1(A,k9_finseq_1(B))))) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k1_numbers) => k5_matrprob(k2_matrlin(k1_numbers,A)) = k5_matrprob(k4_matrix_0(k1_numbers,k2_matrlin(k1_numbers,A))) ) )).
fof(s2_finseq_2__e3_37__int_5,axiom,( ( ~ ( ! [A] : ( v7_ordinal1(A) => ~ ( r2_tarski(A,k4_finseq_1(k6_finseq_1(k4_numbers))) & k1_funct_1(k6_finseq_1(k4_numbers),A) != 1 & k1_funct_1(k6_finseq_1(k4_numbers),A) != k5_numbers & k1_funct_1(k6_finseq_1(k4_numbers),A) != k4_xcmplx_0(1) ) ) & k19_rvsum_1(k6_finseq_1(k4_numbers)) != 1 & k19_rvsum_1(k6_finseq_1(k4_numbers)) != k5_numbers & k19_rvsum_1(k6_finseq_1(k4_numbers)) != k4_xcmplx_0(1) ) & ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => ( ~ ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(B)) & k1_funct_1(B,D) != 1 & k1_funct_1(B,D) != k5_numbers & k1_funct_1(B,D) != k4_xcmplx_0(1) ) ) & k19_rvsum_1(B) != 1 & k19_rvsum_1(B) != k5_numbers & k19_rvsum_1(B) != k4_xcmplx_0(1) ) => ~ ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(k7_finseq_1(B,k9_finseq_1(C)))) & k1_funct_1(k7_finseq_1(B,k9_finseq_1(C)),E) != 1 & k1_funct_1(k7_finseq_1(B,k9_finseq_1(C)),E) != k5_numbers & k1_funct_1(k7_finseq_1(B,k9_finseq_1(C)),E) != k4_xcmplx_0(1) ) ) & k19_rvsum_1(k7_finseq_1(B,k9_finseq_1(C))) != 1 & k19_rvsum_1(k7_finseq_1(B,k9_finseq_1(C))) != k5_numbers & k19_rvsum_1(k7_finseq_1(B,k9_finseq_1(C))) != k4_xcmplx_0(1) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ~ ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(B)) & k1_funct_1(B,F) != 1 & k1_funct_1(B,F) != k5_numbers & k1_funct_1(B,F) != k4_xcmplx_0(1) ) ) & k19_rvsum_1(B) != 1 & k19_rvsum_1(B) != k5_numbers & k19_rvsum_1(B) != k4_xcmplx_0(1) ) ) )).
fof(s2_finseq_2__e3_37__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_srings_1(B,A) & v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_finseq_1(C,B) ) => ( ( ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_eqrel_1(D,k6_subset_1(k1_setfam_1(k10_xtuple_0(k6_finseq_1(B))),k3_tarski(k2_relset_1(B,C)))) ) & ! [E] : ( m2_finseq_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ( ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(B)) & m1_eqrel_1(G,k6_subset_1(k1_setfam_1(k10_xtuple_0(E)),k3_tarski(k2_relset_1(B,C)))) ) => ? [H] : ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(B)) & m1_eqrel_1(H,k6_subset_1(k1_setfam_1(k10_xtuple_0(k7_finseq_1(E,k9_finseq_1(F)))),k3_tarski(k2_relset_1(B,C)))) ) ) ) ) ) => ! [E] : ( m2_finseq_1(E,B) => ? [I] : ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(B)) & m1_eqrel_1(I,k6_subset_1(k1_setfam_1(k10_xtuple_0(E)),k3_tarski(k2_relset_1(B,C)))) ) ) ) ) )).
fof(s2_finseq_2__e3_38__int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ( ( r1_xxreal_0(2,k3_finseq_1(k6_finseq_1(k4_ordinal1))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k1_relset_1(k4_ordinal1,k6_finseq_1(k4_ordinal1))) => r1_int_2(k1_funct_1(k6_finseq_1(k4_ordinal1),B),A) ) ) ) => ( r1_xxreal_0(A,1) | ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( ( k3_finseq_1(B) = k3_finseq_1(k6_finseq_1(k4_ordinal1)) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(B,C) = k3_pepin(k1_funct_1(k6_finseq_1(k4_ordinal1),C),A) ) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) & r2_tarski(D,k1_relset_1(k4_ordinal1,B)) ) => ( C = D | r1_int_2(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) => k3_pepin(k2_wsierp_1(k6_finseq_1(k4_ordinal1)),A) = k2_wsierp_1(B) ) ) ) ) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( ( r1_xxreal_0(2,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k1_relset_1(k4_ordinal1,E)) => r1_int_2(k1_funct_1(E,G),A) ) ) ) => ( r1_xxreal_0(A,1) | ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ( ( k3_finseq_1(G) = k3_finseq_1(E) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k1_relset_1(k4_ordinal1,G)) => k1_funct_1(G,H) = k3_pepin(k1_funct_1(E,H),A) ) ) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r2_tarski(H,k1_relset_1(k4_ordinal1,G)) & r2_tarski(I,k1_relset_1(k4_ordinal1,G)) ) => ( H = I | r1_int_2(k1_funct_1(G,H),k1_funct_1(G,I)) ) ) ) ) ) => k3_pepin(k2_wsierp_1(E),A) = k2_wsierp_1(G) ) ) ) ) => ( ( r1_xxreal_0(2,k3_finseq_1(k7_finseq_1(E,k9_finseq_1(F)))) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k1_relset_1(k4_ordinal1,k7_finseq_1(E,k9_finseq_1(F)))) => r1_int_2(k1_funct_1(k7_finseq_1(E,k9_finseq_1(F)),J),A) ) ) ) => ( r1_xxreal_0(A,1) | ! [J] : ( m2_finseq_1(J,k4_ordinal1) => ( ( k3_finseq_1(J) = k3_finseq_1(k7_finseq_1(E,k9_finseq_1(F))) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r2_tarski(K,k1_relset_1(k4_ordinal1,J)) => k1_funct_1(J,K) = k3_pepin(k1_funct_1(k7_finseq_1(E,k9_finseq_1(F)),K),A) ) ) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( ( r2_tarski(K,k1_relset_1(k4_ordinal1,J)) & r2_tarski(L,k1_relset_1(k4_ordinal1,J)) ) => ( K = L | r1_int_2(k1_funct_1(J,K),k1_funct_1(J,L)) ) ) ) ) ) => k3_pepin(k2_wsierp_1(k7_finseq_1(E,k9_finseq_1(F))),A) = k2_wsierp_1(J) ) ) ) ) ) ) ) ) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( ( r1_xxreal_0(2,k3_finseq_1(E)) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k1_relset_1(k4_ordinal1,E)) => r1_int_2(k1_funct_1(E,M),A) ) ) ) => ( r1_xxreal_0(A,1) | ! [M] : ( m2_finseq_1(M,k4_ordinal1) => ( ( k3_finseq_1(M) = k3_finseq_1(E) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( r2_tarski(N,k1_relset_1(k4_ordinal1,M)) => k1_funct_1(M,N) = k3_pepin(k1_funct_1(E,N),A) ) ) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ! [O] : ( m1_subset_1(O,k4_ordinal1) => ( ( r2_tarski(N,k1_relset_1(k4_ordinal1,M)) & r2_tarski(O,k1_relset_1(k4_ordinal1,M)) ) => ( N = O | r1_int_2(k1_funct_1(M,N),k1_funct_1(M,O)) ) ) ) ) ) => k3_pepin(k2_wsierp_1(E),A) = k2_wsierp_1(M) ) ) ) ) ) ) ) )).
fof(s2_finseq_2__e3_3__polynom3,axiom,( ( k18_rvsum_1(k6_finseq_1(k1_numbers)) = k18_rvsum_1(k4_finseq_5(k1_numbers,k6_finseq_1(k1_numbers))) & ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( k18_rvsum_1(A) = k18_rvsum_1(k4_finseq_5(k1_numbers,A)) => k18_rvsum_1(k7_finseq_1(A,k9_finseq_1(B))) = k18_rvsum_1(k4_finseq_5(k1_numbers,k7_finseq_1(A,k9_finseq_1(B)))) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k1_numbers) => k18_rvsum_1(A) = k18_rvsum_1(k4_finseq_5(k1_numbers,A)) ) )).
fof(s2_finseq_2__e3_41__int_4,axiom,( ( ? [A] : ( m2_finseq_1(A,k4_ordinal1) & A = k6_finseq_1(k4_ordinal1) & ( ( r1_xxreal_0(2,k3_finseq_1(A)) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r2_tarski(B,k1_relset_1(k4_ordinal1,A)) & r2_tarski(C,k1_relset_1(k4_ordinal1,A)) ) => ( B = C | k6_nat_d(k1_recdef_1(A,B),k1_recdef_1(A,C)) = 1 ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k1_relset_1(k4_ordinal1,A)) => k6_nat_d(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,B,A)),k1_recdef_1(A,B)) = 1 ) ) ) ) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ? [F] : ( m2_finseq_1(F,k4_ordinal1) & F = D & ( ( r1_xxreal_0(2,k3_finseq_1(F)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r2_tarski(G,k1_relset_1(k4_ordinal1,F)) & r2_tarski(H,k1_relset_1(k4_ordinal1,F)) ) => ( G = H | k6_nat_d(k1_recdef_1(F,G),k1_recdef_1(F,H)) = 1 ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k1_relset_1(k4_ordinal1,F)) => k6_nat_d(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,G,F)),k1_recdef_1(F,G)) = 1 ) ) ) ) => ? [I] : ( m2_finseq_1(I,k4_ordinal1) & I = k7_finseq_1(D,k9_finseq_1(E)) & ( ( r1_xxreal_0(2,k3_finseq_1(I)) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( ( r2_tarski(J,k1_relset_1(k4_ordinal1,I)) & r2_tarski(K,k1_relset_1(k4_ordinal1,I)) ) => ( J = K | k6_nat_d(k1_recdef_1(I,J),k1_recdef_1(I,K)) = 1 ) ) ) ) ) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k1_relset_1(k4_ordinal1,I)) => k6_nat_d(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,J,I)),k1_recdef_1(I,J)) = 1 ) ) ) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ? [L] : ( m2_finseq_1(L,k4_ordinal1) & L = D & ( ( r1_xxreal_0(2,k3_finseq_1(L)) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( ( r2_tarski(M,k1_relset_1(k4_ordinal1,L)) & r2_tarski(N,k1_relset_1(k4_ordinal1,L)) ) => ( M = N | k6_nat_d(k1_recdef_1(L,M),k1_recdef_1(L,N)) = 1 ) ) ) ) ) => ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k1_relset_1(k4_ordinal1,L)) => k6_nat_d(k2_wsierp_1(k3_wsierp_1(k4_ordinal1,M,L)),k1_recdef_1(L,M)) = 1 ) ) ) ) ) )).
fof(s2_finseq_2__e3_47__int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ? [B] : ( m2_finseq_1(B,k4_ordinal1) & B = k6_finseq_1(k4_ordinal1) & ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) => r1_nat_d(A,k1_recdef_1(B,C)) ) ) => r1_nat_d(A,k1_wsierp_1(B)) ) ) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ? [F] : ( m2_finseq_1(F,k4_ordinal1) & F = D & ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k1_relset_1(k4_ordinal1,F)) => r1_nat_d(A,k1_recdef_1(F,G)) ) ) => r1_nat_d(A,k1_wsierp_1(F)) ) ) => ? [H] : ( m2_finseq_1(H,k4_ordinal1) & H = k7_finseq_1(D,k9_finseq_1(E)) & ( ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k1_relset_1(k4_ordinal1,H)) => r1_nat_d(A,k1_recdef_1(H,I)) ) ) => r1_nat_d(A,k1_wsierp_1(H)) ) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ? [J] : ( m2_finseq_1(J,k4_ordinal1) & J = D & ( ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k1_relset_1(k4_ordinal1,J)) => r1_nat_d(A,k1_recdef_1(J,K)) ) ) => r1_nat_d(A,k1_wsierp_1(J)) ) ) ) ) ) )).
fof(s2_finseq_2__e3_49__int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ? [B] : ( m2_finseq_1(B,k4_ordinal1) & B = k6_finseq_1(k4_ordinal1) & ( ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) & r2_tarski(D,k1_relset_1(k4_ordinal1,B)) ) => ( C = D | k6_nat_d(k1_recdef_1(B,C),k1_recdef_1(B,D)) = 1 ) ) ) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) => r1_nat_d(k1_recdef_1(B,C),A) ) ) ) => r1_nat_d(k2_wsierp_1(B),A) ) ) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ? [G] : ( m2_finseq_1(G,k4_ordinal1) & G = E & ( ( ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r2_tarski(H,k1_relset_1(k4_ordinal1,G)) & r2_tarski(I,k1_relset_1(k4_ordinal1,G)) ) => ( H = I | k6_nat_d(k1_recdef_1(G,H),k1_recdef_1(G,I)) = 1 ) ) ) ) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k1_relset_1(k4_ordinal1,G)) => r1_nat_d(k1_recdef_1(G,H),A) ) ) ) => r1_nat_d(k2_wsierp_1(G),A) ) ) => ? [J] : ( m2_finseq_1(J,k4_ordinal1) & J = k7_finseq_1(E,k9_finseq_1(F)) & ( ( ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( ( r2_tarski(K,k1_relset_1(k4_ordinal1,J)) & r2_tarski(L,k1_relset_1(k4_ordinal1,J)) ) => ( K = L | k6_nat_d(k1_recdef_1(J,K),k1_recdef_1(J,L)) = 1 ) ) ) ) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r2_tarski(K,k1_relset_1(k4_ordinal1,J)) => r1_nat_d(k1_recdef_1(J,K),A) ) ) ) => r1_nat_d(k2_wsierp_1(J),A) ) ) ) ) ) ) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ? [M] : ( m2_finseq_1(M,k4_ordinal1) & M = E & ( ( ! [N] : ( m1_subset_1(N,k4_ordinal1) => ! [O] : ( m1_subset_1(O,k4_ordinal1) => ( ( r2_tarski(N,k1_relset_1(k4_ordinal1,M)) & r2_tarski(O,k1_relset_1(k4_ordinal1,M)) ) => ( N = O | k6_nat_d(k1_recdef_1(M,N),k1_recdef_1(M,O)) = 1 ) ) ) ) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( r2_tarski(N,k1_relset_1(k4_ordinal1,M)) => r1_nat_d(k1_recdef_1(M,N),A) ) ) ) => r1_nat_d(k2_wsierp_1(M),A) ) ) ) ) ) )).
fof(s2_finseq_2__e3_4__polynom3,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r2_tarski(A,k4_finseq_1(k6_finseq_1(k4_ordinal1))) => r1_xxreal_0(k1_recdef_1(k6_finseq_1(k4_ordinal1),A),k1_wsierp_1(k6_finseq_1(k4_ordinal1))) ) ) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => r1_xxreal_0(k1_recdef_1(B,D),k1_wsierp_1(B)) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(k7_finseq_1(B,k9_finseq_1(C)))) => r1_xxreal_0(k1_recdef_1(k7_finseq_1(B,k9_finseq_1(C)),E),k1_wsierp_1(k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(B)) => r1_xxreal_0(k1_recdef_1(B,F),k1_wsierp_1(B)) ) ) ) )).
fof(s2_finseq_2__e3_4__polynom5,axiom,( ( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r2_tarski(A,k4_finseq_1(k6_finseq_1(k1_numbers))) => r1_xxreal_0(k5_numbers,k1_funct_1(k6_finseq_1(k1_numbers),A)) ) ) => ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r2_tarski(A,k4_finseq_1(k6_finseq_1(k1_numbers))) => r1_xxreal_0(k1_funct_1(k6_finseq_1(k1_numbers),A),k18_rvsum_1(k6_finseq_1(k1_numbers))) ) ) ) & ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => r1_xxreal_0(k5_numbers,k1_funct_1(B,D)) ) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(B,D),k18_rvsum_1(B)) ) ) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(k7_finseq_1(B,k9_finseq_1(C)))) => r1_xxreal_0(k5_numbers,k1_funct_1(k7_finseq_1(B,k9_finseq_1(C)),E)) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(k7_finseq_1(B,k9_finseq_1(C)))) => r1_xxreal_0(k1_funct_1(k7_finseq_1(B,k9_finseq_1(C)),E),k18_rvsum_1(k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(B)) => r1_xxreal_0(k5_numbers,k1_funct_1(B,F)) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(B,F),k18_rvsum_1(B)) ) ) ) ) )).
fof(s2_finseq_2__e3_56__wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ? [B] : ( m2_finseq_1(B,k4_ordinal1) & B = k6_finseq_1(k4_ordinal1) & ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k3_int_2(k1_funct_1(B,C),A) = 1 ) ) => k3_int_2(k2_wsierp_1(B),A) = 1 ) ) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ? [F] : ( m2_finseq_1(F,k4_ordinal1) & F = D & ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k3_int_2(k1_funct_1(F,G),A) = 1 ) ) => k3_int_2(k2_wsierp_1(F),A) = 1 ) ) => ? [H] : ( m2_finseq_1(H,k4_ordinal1) & H = k7_finseq_1(D,k9_finseq_1(E)) & ( ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k3_int_2(k1_funct_1(H,I),A) = 1 ) ) => k3_int_2(k2_wsierp_1(H),A) = 1 ) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ? [J] : ( m2_finseq_1(J,k4_ordinal1) & J = D & ( ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(J)) => k3_int_2(k1_funct_1(J,K),A) = 1 ) ) => k3_int_2(k2_wsierp_1(J),A) = 1 ) ) ) ) ) )).
fof(s2_finseq_2__e3_57__wsierp_1,axiom,( ( ? [A] : ( m2_finseq_1(A,k4_ordinal1) & A = k6_finseq_1(k4_ordinal1) & ( ( r1_xxreal_0(2,k3_finseq_1(A)) & ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => ( B = C | k3_int_2(k1_funct_1(A,B),k1_funct_1(A,C)) = 1 ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ~ ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m2_finseq_1(C,k4_numbers) => ~ ( k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,D),k1_funct_1(C,D)),k1_funct_1(B,D)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,1),k1_funct_1(C,1)),k1_funct_1(B,1)) ) ) ) ) ) ) ) ) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ? [G] : ( m2_finseq_1(G,k4_ordinal1) & G = E & ( ( r1_xxreal_0(2,k3_finseq_1(G)) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(H,k4_finseq_1(G)) & r2_tarski(I,k4_finseq_1(G)) ) => ( H = I | k3_int_2(k1_funct_1(G,H),k1_funct_1(G,I)) = 1 ) ) ) ) ) => ! [H] : ( m2_finseq_1(H,k4_numbers) => ~ ( k3_finseq_1(H) = k3_finseq_1(G) & ! [I] : ( m2_finseq_1(I,k4_numbers) => ~ ( k3_finseq_1(I) = k3_finseq_1(G) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(G)) => k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,J),k1_funct_1(I,J)),k1_funct_1(H,J)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,1),k1_funct_1(I,1)),k1_funct_1(H,1)) ) ) ) ) ) ) ) ) => ? [K] : ( m2_finseq_1(K,k4_ordinal1) & K = k7_finseq_1(E,k9_finseq_1(F)) & ( ( r1_xxreal_0(2,k3_finseq_1(K)) & ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ( ( r2_tarski(L,k4_finseq_1(K)) & r2_tarski(M,k4_finseq_1(K)) ) => ( L = M | k3_int_2(k1_funct_1(K,L),k1_funct_1(K,M)) = 1 ) ) ) ) ) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ~ ( k3_finseq_1(L) = k3_finseq_1(K) & ! [M] : ( m2_finseq_1(M,k4_numbers) => ~ ( k3_finseq_1(M) = k3_finseq_1(K) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(K)) => k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(K,N),k1_funct_1(M,N)),k1_funct_1(L,N)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(K,1),k1_funct_1(M,1)),k1_funct_1(L,1)) ) ) ) ) ) ) ) ) ) ) ) ) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ? [O] : ( m2_finseq_1(O,k4_ordinal1) & O = E & ( ( r1_xxreal_0(2,k3_finseq_1(O)) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( r2_tarski(P,k4_finseq_1(O)) & r2_tarski(Q,k4_finseq_1(O)) ) => ( P = Q | k3_int_2(k1_funct_1(O,P),k1_funct_1(O,Q)) = 1 ) ) ) ) ) => ! [P] : ( m2_finseq_1(P,k4_numbers) => ~ ( k3_finseq_1(P) = k3_finseq_1(O) & ! [Q] : ( m2_finseq_1(Q,k4_numbers) => ~ ( k3_finseq_1(Q) = k3_finseq_1(O) & ! [R] : ( v7_ordinal1(R) => ( r2_tarski(R,k4_finseq_1(O)) => k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(O,R),k1_funct_1(Q,R)),k1_funct_1(P,R)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(O,1),k1_funct_1(Q,1)),k1_funct_1(P,1)) ) ) ) ) ) ) ) ) ) )).
fof(s2_finseq_2__e3_6__gr_cy_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k3_group_4(A,k4_group_4(A,k6_finseq_1(k4_numbers),k5_finseq_2(u1_struct_0(A),k3_finseq_1(k6_finseq_1(k4_numbers)),B))) = k5_group_1(A,B,k1_gr_cy_1(k6_finseq_1(k4_numbers))) & ! [C] : ( m2_finseq_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => ( k3_group_4(A,k4_group_4(A,C,k5_finseq_2(u1_struct_0(A),k3_finseq_1(C),B))) = k5_group_1(A,B,k1_gr_cy_1(C)) => k3_group_4(A,k4_group_4(A,k7_finseq_1(C,k9_finseq_1(D)),k5_finseq_2(u1_struct_0(A),k3_finseq_1(k7_finseq_1(C,k9_finseq_1(D))),B))) = k5_group_1(A,B,k1_gr_cy_1(k7_finseq_1(C,k9_finseq_1(D)))) ) ) ) ) => ! [C] : ( m2_finseq_1(C,k4_numbers) => k3_group_4(A,k4_group_4(A,C,k5_finseq_2(u1_struct_0(A),k3_finseq_1(C),B))) = k5_group_1(A,B,k1_gr_cy_1(C)) ) ) ) )).
fof(s2_finseq_2__e3_72__pre_poly,axiom,( ! [A] : ( ( k3_finseq_1(k5_pre_poly(A,k6_finseq_1(k3_finseq_2(A)))) = k1_wsierp_1(k10_pre_poly(A,k6_finseq_1(k3_finseq_2(A)))) & ! [B] : ( m2_finseq_1(B,k3_finseq_2(A)) => ! [C] : ( m1_subset_1(C,k3_finseq_2(A)) => ( k3_finseq_1(k5_pre_poly(A,B)) = k1_wsierp_1(k10_pre_poly(A,B)) => k3_finseq_1(k5_pre_poly(A,k7_finseq_1(B,k9_finseq_1(C)))) = k1_wsierp_1(k10_pre_poly(A,k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k3_finseq_2(A)) => k3_finseq_1(k5_pre_poly(A,B)) = k1_wsierp_1(k10_pre_poly(A,B)) ) ) )).
fof(s2_finseq_2__e3_74__pre_poly,axiom,( ! [A] : ( ( ! [B] : ~ ( r2_tarski(B,k4_finseq_1(k5_pre_poly(A,k6_finseq_1(k3_finseq_2(A))))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(C,k4_finseq_1(k6_finseq_1(k3_finseq_2(A)))) & r2_tarski(D,k4_finseq_1(k1_funct_1(k6_finseq_1(k3_finseq_2(A)),C))) & B = k2_xcmplx_0(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(C,1),k6_finseq_1(k3_finseq_2(A))))),D) & k1_funct_1(k1_funct_1(k6_finseq_1(k3_finseq_2(A)),C),D) = k1_funct_1(k5_pre_poly(A,k6_finseq_1(k3_finseq_2(A))),B) ) ) ) ) & ! [E] : ( m2_finseq_1(E,k3_finseq_2(A)) => ! [F] : ( m1_subset_1(F,k3_finseq_2(A)) => ( ! [G] : ~ ( r2_tarski(G,k4_finseq_1(k5_pre_poly(A,E))) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(H,k4_finseq_1(E)) & r2_tarski(I,k4_finseq_1(k1_funct_1(E,H))) & G = k2_xcmplx_0(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(H,1),E))),I) & k1_funct_1(k1_funct_1(E,H),I) = k1_funct_1(k5_pre_poly(A,E),G) ) ) ) ) => ! [J] : ~ ( r2_tarski(J,k4_finseq_1(k5_pre_poly(A,k7_finseq_1(E,k9_finseq_1(F))))) & ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(K,k4_finseq_1(k7_finseq_1(E,k9_finseq_1(F)))) & r2_tarski(L,k4_finseq_1(k1_funct_1(k7_finseq_1(E,k9_finseq_1(F)),K))) & J = k2_xcmplx_0(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(K,1),k7_finseq_1(E,k9_finseq_1(F))))),L) & k1_funct_1(k1_funct_1(k7_finseq_1(E,k9_finseq_1(F)),K),L) = k1_funct_1(k5_pre_poly(A,k7_finseq_1(E,k9_finseq_1(F))),J) ) ) ) ) ) ) ) ) => ! [E] : ( m2_finseq_1(E,k3_finseq_2(A)) => ! [M] : ~ ( r2_tarski(M,k4_finseq_1(k5_pre_poly(A,E))) & ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ~ ( r2_tarski(N,k4_finseq_1(E)) & r2_tarski(O,k4_finseq_1(k1_funct_1(E,N))) & M = k2_xcmplx_0(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(N,1),E))),O) & k1_funct_1(k1_funct_1(E,N),O) = k1_funct_1(k5_pre_poly(A,E),M) ) ) ) ) ) ) )).
fof(s2_finseq_2__e3_75__pre_poly,axiom,( ! [A] : ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r2_tarski(B,k4_finseq_1(k6_finseq_1(k3_finseq_2(A)))) & r2_tarski(C,k4_finseq_1(k1_funct_1(k6_finseq_1(k3_finseq_2(A)),B))) ) => ( r2_tarski(k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(B,1),k6_finseq_1(k3_finseq_2(A))))),C),k4_finseq_1(k5_pre_poly(A,k6_finseq_1(k3_finseq_2(A))))) & k1_funct_1(k1_funct_1(k6_finseq_1(k3_finseq_2(A)),B),C) = k1_funct_1(k5_pre_poly(A,k6_finseq_1(k3_finseq_2(A))),k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(B,1),k6_finseq_1(k3_finseq_2(A))))),C)) ) ) ) ) & ! [D] : ( m2_finseq_1(D,k3_finseq_2(A)) => ! [E] : ( m1_subset_1(E,k3_finseq_2(A)) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r2_tarski(F,k4_finseq_1(D)) & r2_tarski(G,k4_finseq_1(k1_funct_1(D,F))) ) => ( r2_tarski(k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(F,1),D))),G),k4_finseq_1(k5_pre_poly(A,D))) & k1_funct_1(k1_funct_1(D,F),G) = k1_funct_1(k5_pre_poly(A,D),k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(F,1),D))),G)) ) ) ) ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r2_tarski(H,k4_finseq_1(k7_finseq_1(D,k9_finseq_1(E)))) & r2_tarski(I,k4_finseq_1(k1_funct_1(k7_finseq_1(D,k9_finseq_1(E)),H))) ) => ( r2_tarski(k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(H,1),k7_finseq_1(D,k9_finseq_1(E))))),I),k4_finseq_1(k5_pre_poly(A,k7_finseq_1(D,k9_finseq_1(E))))) & k1_funct_1(k1_funct_1(k7_finseq_1(D,k9_finseq_1(E)),H),I) = k1_funct_1(k5_pre_poly(A,k7_finseq_1(D,k9_finseq_1(E))),k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(H,1),k7_finseq_1(D,k9_finseq_1(E))))),I)) ) ) ) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,k3_finseq_2(A)) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( ( r2_tarski(J,k4_finseq_1(D)) & r2_tarski(K,k4_finseq_1(k1_funct_1(D,J))) ) => ( r2_tarski(k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(J,1),D))),K),k4_finseq_1(k5_pre_poly(A,D))) & k1_funct_1(k1_funct_1(D,J),K) = k1_funct_1(k5_pre_poly(A,D),k1_nat_1(k1_wsierp_1(k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),k7_nat_d(J,1),D))),K)) ) ) ) ) ) ) )).
fof(s2_finseq_2__e3_82__roughs_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_roughs_1(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ( v1_prob_2(k6_finseq_1(k1_zfmisc_1(u1_struct_0(A)))) => k3_funct_2(u1_struct_0(A),k1_numbers,k6_roughs_1(A,k2_roughs_1(u1_struct_0(A),k6_finseq_1(k1_zfmisc_1(u1_struct_0(A))))),B) = k18_rvsum_1(k7_roughs_1(A,k6_finseq_1(k1_zfmisc_1(u1_struct_0(A))),B)) ) & ! [C] : ( m2_finseq_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_prob_2(C) => k3_funct_2(u1_struct_0(A),k1_numbers,k6_roughs_1(A,k2_roughs_1(u1_struct_0(A),C)),B) = k18_rvsum_1(k7_roughs_1(A,C,B)) ) => ( v1_prob_2(k7_finseq_1(C,k9_finseq_1(D))) => k3_funct_2(u1_struct_0(A),k1_numbers,k6_roughs_1(A,k2_roughs_1(u1_struct_0(A),k7_finseq_1(C,k9_finseq_1(D)))),B) = k18_rvsum_1(k7_roughs_1(A,k7_finseq_1(C,k9_finseq_1(D)),B)) ) ) ) ) ) => ! [C] : ( m2_finseq_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_prob_2(C) => k3_funct_2(u1_struct_0(A),k1_numbers,k6_roughs_1(A,k2_roughs_1(u1_struct_0(A),C)),B) = k18_rvsum_1(k7_roughs_1(A,C,B)) ) ) ) ) )).
fof(s2_finseq_2__e4_13__finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( r2_relset_1(k4_ordinal1,B,k4_finseqop(A,B,k8_finseq_1(A,C,k6_finseq_1(A)),D),k8_finseq_1(B,k4_finseqop(A,B,C,D),k4_finseqop(A,B,k6_finseq_1(A),D))) & ! [E] : ( m2_finseq_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( r2_relset_1(k4_ordinal1,B,k4_finseqop(A,B,k8_finseq_1(A,C,E),D),k8_finseq_1(B,k4_finseqop(A,B,C,D),k4_finseqop(A,B,E,D))) => r2_relset_1(k4_ordinal1,B,k4_finseqop(A,B,k8_finseq_1(A,C,k7_finseq_1(E,k9_finseq_1(F))),D),k8_finseq_1(B,k4_finseqop(A,B,C,D),k4_finseqop(A,B,k7_finseq_1(E,k9_finseq_1(F)),D))) ) ) ) ) => ! [E] : ( m2_finseq_1(E,A) => r2_relset_1(k4_ordinal1,B,k4_finseqop(A,B,k8_finseq_1(A,C,E),D),k8_finseq_1(B,k4_finseqop(A,B,C,D),k4_finseqop(A,B,E,D))) ) ) ) )).
fof(s2_finseq_2__e4_18__matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k4_finseq_1(k6_finseq_1(u1_struct_0(A)))) => k1_funct_1(k6_finseq_1(u1_struct_0(A)),B) = k4_struct_0(A) ) ) => k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k4_struct_0(A) ) & ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(C)) => k1_funct_1(C,E) = k4_struct_0(A) ) ) => k4_rlvect_1(A,C) = k4_struct_0(A) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(k7_finseq_1(C,k9_finseq_1(D)))) => k1_funct_1(k7_finseq_1(C,k9_finseq_1(D)),F) = k4_struct_0(A) ) ) => k4_rlvect_1(A,k7_finseq_1(C,k9_finseq_1(D))) = k4_struct_0(A) ) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(C)) => k1_funct_1(C,G) = k4_struct_0(A) ) ) => k4_rlvect_1(A,C) = k4_struct_0(A) ) ) ) ) )).
fof(s2_finseq_2__e4_18__matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ( ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k9_xtuple_0(k6_finseq_1(u1_struct_0(A)))) => k7_partfun1(u1_struct_0(A),k6_finseq_1(u1_struct_0(A)),B) = k4_struct_0(A) ) ) => k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k4_struct_0(A) ) & ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k9_xtuple_0(C)) => k7_partfun1(u1_struct_0(A),C,E) = k4_struct_0(A) ) ) => k4_rlvect_1(A,C) = k4_struct_0(A) ) => ( ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k9_xtuple_0(k7_finseq_1(C,k9_finseq_1(D)))) => k7_partfun1(u1_struct_0(A),k7_finseq_1(C,k9_finseq_1(D)),F) = k4_struct_0(A) ) ) => k4_rlvect_1(A,k7_finseq_1(C,k9_finseq_1(D))) = k4_struct_0(A) ) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k9_xtuple_0(C)) => k7_partfun1(u1_struct_0(A),C,G) = k4_struct_0(A) ) ) => k4_rlvect_1(A,C) = k4_struct_0(A) ) ) ) ) )).
fof(s2_finseq_2__e4_18__polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k4_rlvect_1(A,k9_fvsum_1(A,k6_finseq_1(u1_struct_0(A)),B)) = k6_algstr_0(A,B,k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A)))) & ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k4_rlvect_1(A,k9_fvsum_1(A,C,B)) = k6_algstr_0(A,B,k4_rlvect_1(A,C)) => k4_rlvect_1(A,k9_fvsum_1(A,k7_finseq_1(C,k9_finseq_1(D)),B)) = k6_algstr_0(A,B,k4_rlvect_1(A,k7_finseq_1(C,k9_finseq_1(D)))) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k4_rlvect_1(A,k9_fvsum_1(A,C,B)) = k6_algstr_0(A,B,k4_rlvect_1(A,C)) ) ) ) )).
fof(s2_finseq_2__e4_19__polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k4_rlvect_1(A,k1_polynom1(A,k6_finseq_1(u1_struct_0(A)),B)) = k6_algstr_0(A,k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B) & ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k4_rlvect_1(A,k1_polynom1(A,C,B)) = k6_algstr_0(A,k4_rlvect_1(A,C),B) => k4_rlvect_1(A,k1_polynom1(A,k7_finseq_1(C,k9_finseq_1(D)),B)) = k6_algstr_0(A,k4_rlvect_1(A,k7_finseq_1(C,k9_finseq_1(D))),B) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k4_rlvect_1(A,k1_polynom1(A,C,B)) = k6_algstr_0(A,k4_rlvect_1(A,C),B) ) ) ) )).
fof(s2_finseq_2__e4_20_1_2__srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_eqrel_1(C,k1_setfam_1(k10_xtuple_0(k6_finseq_1(B)))) ) & ! [D] : ( m2_finseq_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ( ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_eqrel_1(F,k1_setfam_1(k10_xtuple_0(D))) ) => ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(B)) & m1_eqrel_1(G,k1_setfam_1(k10_xtuple_0(k7_finseq_1(D,k9_finseq_1(E))))) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,B) => ? [H] : ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(B)) & m1_eqrel_1(H,k1_setfam_1(k10_xtuple_0(D))) ) ) ) ) )).
fof(s2_finseq_2__e4_20__finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m2_finseq_1(F,B) ) => ( ( r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,E,D,k8_finseq_1(B,F,k6_finseq_1(B))),k8_finseq_1(C,k3_finseqop(A,B,C,E,D,F),k3_finseqop(A,B,C,E,D,k6_finseq_1(B)))) & ! [G] : ( m2_finseq_1(G,B) => ! [H] : ( m1_subset_1(H,B) => ( r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,E,D,k8_finseq_1(B,F,G)),k8_finseq_1(C,k3_finseqop(A,B,C,E,D,F),k3_finseqop(A,B,C,E,D,G))) => r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,E,D,k8_finseq_1(B,F,k7_finseq_1(G,k9_finseq_1(H)))),k8_finseq_1(C,k3_finseqop(A,B,C,E,D,F),k3_finseqop(A,B,C,E,D,k7_finseq_1(G,k9_finseq_1(H))))) ) ) ) ) => ! [G] : ( m2_finseq_1(G,B) => r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,E,D,k8_finseq_1(B,F,G)),k8_finseq_1(C,k3_finseqop(A,B,C,E,D,F),k3_finseqop(A,B,C,E,D,G))) ) ) ) )).
fof(s2_finseq_2__e4_20__polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( k4_rlvect_1(A,k5_pre_poly(u1_struct_0(A),k6_finseq_1(k3_finseq_2(u1_struct_0(A))))) = k4_rlvect_1(A,k6_matrlin(A,k6_finseq_1(k3_finseq_2(u1_struct_0(A))))) & ! [B] : ( m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k3_finseq_2(u1_struct_0(A))) => ( k4_rlvect_1(A,k5_pre_poly(u1_struct_0(A),B)) = k4_rlvect_1(A,k6_matrlin(A,B)) => k4_rlvect_1(A,k5_pre_poly(u1_struct_0(A),k7_finseq_1(B,k9_finseq_1(C)))) = k4_rlvect_1(A,k6_matrlin(A,k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) => k4_rlvect_1(A,k5_pre_poly(u1_struct_0(A),B)) = k4_rlvect_1(A,k6_matrlin(A,B)) ) ) ) )).
fof(s2_finseq_2__e4_21__convfun1,axiom,( ( ( r1_tarski(k2_relset_1(k6_numbers,k6_finseq_1(k6_numbers)),k6_domain_1(k6_numbers,k1_supinf_2)) => k4_extreal1(k6_finseq_1(k6_numbers)) = k1_supinf_2 ) & ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( ( r1_tarski(k2_relset_1(k6_numbers,A),k6_domain_1(k6_numbers,k1_supinf_2)) => k4_extreal1(A) = k1_supinf_2 ) => ( r1_tarski(k2_relset_1(k6_numbers,k7_finseq_1(A,k9_finseq_1(B))),k6_domain_1(k6_numbers,k1_supinf_2)) => k4_extreal1(k7_finseq_1(A,k9_finseq_1(B))) = k1_supinf_2 ) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k6_numbers) => ( r1_tarski(k2_relset_1(k6_numbers,A),k6_domain_1(k6_numbers,k1_supinf_2)) => k4_extreal1(A) = k1_supinf_2 ) ) )).
fof(s2_finseq_2__e4_22__convfun1,axiom,( ( ( r1_tarski(k1_rvsum_1(k6_finseq_1(k1_numbers)),k6_domain_1(k4_ordinal1,k5_numbers)) => k18_rvsum_1(k6_finseq_1(k1_numbers)) = k5_numbers ) & ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( ( r1_tarski(k1_rvsum_1(A),k6_domain_1(k4_ordinal1,k5_numbers)) => k18_rvsum_1(A) = k5_numbers ) => ( r1_tarski(k1_rvsum_1(k7_finseq_1(A,k9_finseq_1(B))),k6_domain_1(k4_ordinal1,k5_numbers)) => k18_rvsum_1(k7_finseq_1(A,k9_finseq_1(B))) = k5_numbers ) ) ) ) ) => ! [A] : ( m2_finseq_1(A,k1_numbers) => ( r1_tarski(k1_rvsum_1(A),k6_domain_1(k4_ordinal1,k5_numbers)) => k18_rvsum_1(A) = k5_numbers ) ) )).
fof(s2_finseq_2__e4_22__finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & m2_finseq_1(F,A) ) => ( ( r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,E,k8_finseq_1(A,F,k6_finseq_1(A)),D),k8_finseq_1(C,k2_finseqop(A,B,C,E,F,D),k2_finseqop(A,B,C,E,k6_finseq_1(A),D))) & ! [G] : ( m2_finseq_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ( r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,E,k8_finseq_1(A,F,G),D),k8_finseq_1(C,k2_finseqop(A,B,C,E,F,D),k2_finseqop(A,B,C,E,G,D))) => r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,E,k8_finseq_1(A,F,k7_finseq_1(G,k9_finseq_1(H))),D),k8_finseq_1(C,k2_finseqop(A,B,C,E,F,D),k2_finseqop(A,B,C,E,k7_finseq_1(G,k9_finseq_1(H)),D))) ) ) ) ) => ! [G] : ( m2_finseq_1(G,A) => r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,E,k8_finseq_1(A,F,G),D),k8_finseq_1(C,k2_finseqop(A,B,C,E,F,D),k2_finseqop(A,B,C,E,G,D))) ) ) ) )).
fof(s2_finseq_2__e4_23__convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ( ( r1_tarski(k2_relset_1(u1_struct_0(A),k6_finseq_1(u1_struct_0(A))),k6_domain_1(u1_struct_0(A),k4_struct_0(A))) => k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k4_struct_0(A) ) & ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),k4_struct_0(A))) => k4_rlvect_1(A,B) = k4_struct_0(A) ) => ( r1_tarski(k2_relset_1(u1_struct_0(A),k7_finseq_1(B,k9_finseq_1(C))),k6_domain_1(u1_struct_0(A),k4_struct_0(A))) => k4_rlvect_1(A,k7_finseq_1(B,k9_finseq_1(C))) = k4_struct_0(A) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( r1_tarski(k2_relset_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),k4_struct_0(A))) => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) ) )).
fof(s2_finseq_2__e4_39_1_2_5_2_2_1__srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( ! [C] : ~ ( r2_tarski(C,k3_tarski(k10_xtuple_0(k6_finseq_1(B)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ~ ( r1_tarski(D,k10_xtuple_0(k6_finseq_1(B))) & r2_tarski(C,k6_subset_1(k1_setfam_1(D),k3_tarski(k6_subset_1(k10_xtuple_0(k6_finseq_1(B)),D)))) ) ) ) & ! [E] : ( m2_finseq_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ( ! [G] : ~ ( r2_tarski(G,k3_tarski(k10_xtuple_0(E))) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(B)) => ~ ( r1_tarski(H,k10_xtuple_0(E)) & r2_tarski(G,k6_subset_1(k1_setfam_1(H),k3_tarski(k6_subset_1(k10_xtuple_0(E),H)))) ) ) ) => ! [I] : ~ ( r2_tarski(I,k3_tarski(k10_xtuple_0(k7_finseq_1(E,k9_finseq_1(F))))) & ! [J] : ( m1_subset_1(J,k1_zfmisc_1(B)) => ~ ( r1_tarski(J,k10_xtuple_0(k7_finseq_1(E,k9_finseq_1(F)))) & r2_tarski(I,k6_subset_1(k1_setfam_1(J),k3_tarski(k6_subset_1(k10_xtuple_0(k7_finseq_1(E,k9_finseq_1(F))),J)))) ) ) ) ) ) ) ) => ! [E] : ( m2_finseq_1(E,B) => ! [K] : ~ ( r2_tarski(K,k3_tarski(k10_xtuple_0(E))) & ! [L] : ( m1_subset_1(L,k1_zfmisc_1(B)) => ~ ( r1_tarski(L,k10_xtuple_0(E)) & r2_tarski(K,k6_subset_1(k1_setfam_1(L),k3_tarski(k6_subset_1(k10_xtuple_0(E),L)))) ) ) ) ) ) ) )).
fof(s2_finseq_2__e5_14__extreal1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ( ( ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k6_finseq_1(k6_numbers))) => k4_extreal1(k8_finseq_1(k6_numbers,A,k6_finseq_1(k6_numbers))) = k3_supinf_2(k4_extreal1(A),k4_extreal1(k6_finseq_1(k6_numbers))) ) & ! [B] : ( m2_finseq_1(B,k6_numbers) => ! [C] : ( m1_subset_1(C,k6_numbers) => ( ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,B)) => k4_extreal1(k8_finseq_1(k6_numbers,A,B)) = k3_supinf_2(k4_extreal1(A),k4_extreal1(B)) ) => ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,k7_finseq_1(B,k9_finseq_1(C)))) => k4_extreal1(k8_finseq_1(k6_numbers,A,k7_finseq_1(B,k9_finseq_1(C)))) = k3_supinf_2(k4_extreal1(A),k4_extreal1(k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k6_numbers) => ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,B)) => k4_extreal1(k8_finseq_1(k6_numbers,A,B)) = k3_supinf_2(k4_extreal1(A),k4_extreal1(B)) ) ) ) ) )).
fof(s2_finseq_2__e5_22__zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A)))) = k4_rlvect_1(B,k4_finseqop(u1_struct_0(A),u1_struct_0(B),k6_finseq_1(u1_struct_0(A)),C)) & ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_rlvect_1(A,D)) = k4_rlvect_1(B,k4_finseqop(u1_struct_0(A),u1_struct_0(B),D,C)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_rlvect_1(A,k7_finseq_1(D,k9_finseq_1(E)))) = k4_rlvect_1(B,k4_finseqop(u1_struct_0(A),u1_struct_0(B),k7_finseq_1(D,k9_finseq_1(E)),C)) ) ) ) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_rlvect_1(A,D)) = k4_rlvect_1(B,k4_finseqop(u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) )).
fof(s2_finseq_2__e6_20__sppol_2,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),k6_finseq_1(u1_struct_0(k15_euclid(2))))) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k6_finseq_1(u1_struct_0(k15_euclid(2)))))) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),C)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),C))) => k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),k7_finseq_1(C,k9_finseq_1(D)))) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k7_finseq_1(C,k9_finseq_1(D))))) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),C)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),C))) ) ) ) )).
fof(s2_finseq_2__e6_21_2__boolmark,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_funct_2(C,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) ) => ( ( ( r2_boolmark(A,C,k6_finseq_1(u4_struct_0(A))) => k7_relat_1(k3_boolmark(A,C,k6_finseq_1(u4_struct_0(A))),B) = k6_domain_1(k5_margrel1,k6_margrel1) ) & ! [D] : ( m2_finseq_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( ( r2_boolmark(A,C,D) => k7_relat_1(k3_boolmark(A,C,D),B) = k6_domain_1(k5_margrel1,k6_margrel1) ) => ( r2_boolmark(A,C,k7_finseq_1(D,k9_finseq_1(E))) => k7_relat_1(k3_boolmark(A,C,k7_finseq_1(D,k9_finseq_1(E))),B) = k6_domain_1(k5_margrel1,k6_margrel1) ) ) ) ) ) => ! [D] : ( m2_finseq_1(D,u4_struct_0(A)) => ( r2_boolmark(A,C,D) => k7_relat_1(k3_boolmark(A,C,D),B) = k6_domain_1(k5_margrel1,k6_margrel1) ) ) ) ) )).
fof(s2_finseq_2__e6_27__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) ) => ( ( ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_eqrel_1(D,k6_subset_1(C,k3_tarski(k10_xtuple_0(k6_finseq_1(B))))) ) & ! [E] : ( m2_finseq_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ( ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(B)) & m1_eqrel_1(G,k6_subset_1(C,k3_tarski(k10_xtuple_0(E)))) ) => ? [H] : ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(B)) & m1_eqrel_1(H,k6_subset_1(C,k3_tarski(k10_xtuple_0(k7_finseq_1(E,k9_finseq_1(F)))))) ) ) ) ) ) => ! [E] : ( m2_finseq_1(E,B) => ? [I] : ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(B)) & m1_eqrel_1(I,k6_subset_1(C,k3_tarski(k10_xtuple_0(E)))) ) ) ) ) )).
fof(s2_finseq_2__e6_9_2__bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( ( r2_tarski(k6_finseq_1(k7_domain_1(k4_ordinal1,k5_numbers,1)),A) & ! [B] : ( m2_finseq_1(B,k7_domain_1(k4_ordinal1,k5_numbers,1)) => ! [C] : ( m1_subset_1(C,k7_domain_1(k4_ordinal1,k5_numbers,1)) => ( r2_tarski(B,A) => r2_tarski(k7_finseq_1(B,k9_finseq_1(C)),A) ) ) ) ) => ! [B] : ( m2_finseq_1(B,k7_domain_1(k4_ordinal1,k5_numbers,1)) => r2_tarski(B,A) ) ) ) )).
fof(s2_finseq_2__e8_36__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k3_funct_2(A,B,E,k1_finsop_1(A,k6_finseq_1(A),C)) = k1_finsop_1(B,k4_finseqop(A,B,k6_finseq_1(A),E),D) & ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( k3_funct_2(A,B,E,k1_finsop_1(A,F,C)) = k1_finsop_1(B,k4_finseqop(A,B,F,E),D) => k3_funct_2(A,B,E,k1_finsop_1(A,k7_finseq_1(F,k9_finseq_1(G)),C)) = k1_finsop_1(B,k4_finseqop(A,B,k7_finseq_1(F,k9_finseq_1(G)),E),D) ) ) ) ) => ! [F] : ( m2_finseq_1(F,A) => k3_funct_2(A,B,E,k1_finsop_1(A,F,C)) = k1_finsop_1(B,k4_finseqop(A,B,F,E),D) ) ) ) )).
fof(s2_finseq_2__e8_44_1__matrlin,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ( ( k4_rlvect_1(B,k6_matrlin(B,k2_matrlin(u1_struct_0(B),k6_finseq_1(u1_struct_0(B))))) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),k2_matrlin(u1_struct_0(B),k6_finseq_1(u1_struct_0(B)))))) & ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( k4_rlvect_1(B,k6_matrlin(B,k2_matrlin(u1_struct_0(B),C))) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),k2_matrlin(u1_struct_0(B),C)))) => k4_rlvect_1(B,k6_matrlin(B,k2_matrlin(u1_struct_0(B),k7_finseq_1(C,k9_finseq_1(D))))) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),k2_matrlin(u1_struct_0(B),k7_finseq_1(C,k9_finseq_1(D)))))) ) ) ) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => k4_rlvect_1(B,k6_matrlin(B,k2_matrlin(u1_struct_0(B),C))) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),k2_matrlin(u1_struct_0(B),C)))) ) ) ) )).
fof(s2_finseq_4__e10_2_1_1_2_7_1_1_1_1_3__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k2_xcmplx_0(C,F)) ) ) ) ) )).
fof(s2_finseq_4__e10_2_1_1_2_7_1_2_1_1_3__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,F),C) ) ) ) ) )).
fof(s2_finseq_4__e10_33_1_1__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m2_finseq_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ? [C] : ( m2_finseq_1(C,k1_hilbert1) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k7_partfun1(k1_hilbert1,C,D) = k12_ltlaxio3(k11_ltlaxio3(k3_ltlaxio3(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,D)),k12_finseq_1(k1_hilbert1,A)),k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,D)))) ) ) ) ) )).
fof(s2_finseq_4__e12_33_1_1__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m2_finseq_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ? [C] : ( m2_finseq_1(C,k1_hilbert1) & k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k7_partfun1(k1_hilbert1,C,D) = k12_ltlaxio3(k11_ltlaxio3(k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,D)),k3_ltlaxio3(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),B,D)),k12_finseq_1(k1_hilbert1,A)))) ) ) ) ) )).
fof(s2_finseq_4__e16_1_1_4_1_2_1_1_2_22_1_1__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A),k2_xcmplx_0(C,F)) ) ) ) ) )).
fof(s2_finseq_4__e18_1_1_4_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = C & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,F),D) ) ) ) ) )).
fof(s2_finseq_4__e24_33_1_1__ltlaxio4,axiom,( ! [A] : ( m2_finseq_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ? [B] : ( m2_finseq_1(B,k1_hilbert1) & k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k7_partfun1(k1_hilbert1,B,C) = k12_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,C)) ) ) ) ) )).
fof(s2_finseq_4__e30_1_1_4_1_2_1_1_2_22_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) & k3_finseq_1(D) = B & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k7_partfun1(u1_struct_0(k15_euclid(2)),D,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,E,C) ) ) ) ) )).
fof(s2_finseq_4__e40_1_1_4_1_2_1_1_2_22_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = C & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,F),D) ) ) ) ) )).
fof(s2_finseq_4__e4_13_1_1_1_2_4_1_1_1_1_3__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k2_xcmplx_0(C,F)) ) ) ) ) )).
fof(s2_finseq_4__e4_13_1_1_1_2_4_1_2_1_1_3__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) & k3_finseq_1(E) = D & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => k7_partfun1(u1_struct_0(k15_euclid(2)),E,F) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,F),C) ) ) ) ) )).
fof(s2_finseq_4__e5_52__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & m1_matrlin(D,A,B) & m1_matrlin(E,A,C) & m2_finseq_1(F,u1_struct_0(A)) & v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(E)) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(A))) ) => ? [H] : ( m2_finseq_1(H,u1_struct_0(A)) & k3_finseq_1(H) = k3_finseq_1(E) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k7_partfun1(u1_struct_0(A),H,I) = k4_rlvect_1(A,k11_fvsum_1(A,F,k8_matrix_0(u1_struct_0(A),G,I))) ) ) ) ) )).
fof(s2_finseq_4__e64_1_1__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) & k3_finseq_1(D) = B & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k7_partfun1(u1_struct_0(k15_euclid(2)),D,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,E,C) ) ) ) ) )).
fof(s2_finset_1__e10_16__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( v1_finset_1(D) & ~ ( ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( C != E & C != F & C = k9_subset_1(A,E,F) ) ) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) => ( k1_xboole_0 != k1_xboole_0 & ~ ( k1_xboole_0 != k1_xboole_0 & k1_xboole_0 = E & k8_setfam_1(A,E) != C & r2_tarski(k8_setfam_1(A,E),B) ) ) ) ) & ! [G] : ! [H] : ( ( r2_tarski(G,D) & r1_tarski(H,D) & ~ ( ! [I] : ( m2_subset_1(I,k1_zfmisc_1(A),B) => ! [J] : ( m2_subset_1(J,k1_zfmisc_1(A),B) => ~ ( C != I & C != J & C = k9_subset_1(A,I,J) ) ) ) & ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(A))) => ( H != k1_xboole_0 & ~ ( H != k1_xboole_0 & H = I & k8_setfam_1(A,I) != C & r2_tarski(k8_setfam_1(A,I),B) ) ) ) ) ) => ~ ( ! [K] : ( m2_subset_1(K,k1_zfmisc_1(A),B) => ! [L] : ( m2_subset_1(L,k1_zfmisc_1(A),B) => ~ ( C != K & C != L & C = k9_subset_1(A,K,L) ) ) ) & ! [K] : ( m1_subset_1(K,k1_zfmisc_1(k1_zfmisc_1(A))) => ( k2_xboole_0(H,k1_tarski(G)) != k1_xboole_0 & ~ ( k2_xboole_0(H,k1_tarski(G)) != k1_xboole_0 & k2_xboole_0(H,k1_tarski(G)) = K & k8_setfam_1(A,K) != C & r2_tarski(k8_setfam_1(A,K),B) ) ) ) ) ) ) => ~ ( ! [M] : ( m2_subset_1(M,k1_zfmisc_1(A),B) => ! [N] : ( m2_subset_1(N,k1_zfmisc_1(A),B) => ~ ( C != M & C != N & C = k9_subset_1(A,M,N) ) ) ) & ! [M] : ( m1_subset_1(M,k1_zfmisc_1(k1_zfmisc_1(A))) => ( D != k1_xboole_0 & ~ ( D != k1_xboole_0 & D = M & k8_setfam_1(A,M) != C & r2_tarski(k8_setfam_1(A,M),B) ) ) ) ) ) ) )).
fof(s2_finset_1__e10_22_1_1_2_2_2__goedcpuc,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ( v1_finset_1(B) & ( ~ v1_xboole_0(k1_xboole_0) => r2_tarski(k3_tarski(k1_xboole_0),k1_xboole_0) ) & ! [C] : ! [D] : ( ( r2_tarski(C,B) & r1_tarski(D,B) & ( ~ v1_xboole_0(D) => r2_tarski(k3_tarski(D),D) ) ) => ( ~ v1_xboole_0(k2_xboole_0(D,k1_tarski(C))) => r2_tarski(k3_tarski(k2_xboole_0(D,k1_tarski(C))),k2_xboole_0(D,k1_tarski(C))) ) ) ) => ( ~ v1_xboole_0(B) => r2_tarski(k3_tarski(B),B) ) ) ) )).
fof(s2_finset_1__e10_2_1__waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( ( v1_finset_1(C) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,B) & r2_lattice3(A,k1_xboole_0,D) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,B) & r2_lattice3(A,F,G) ) ) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,B) & r2_lattice3(A,k2_xboole_0(F,k1_tarski(E)),H) ) ) ) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(I,B) & r2_lattice3(A,C,I) ) ) ) )).
fof(s2_finset_1__e10_36__measure6,axiom,( ! [A] : ( ( v1_finset_1(A) & ~ ( k1_xboole_0 != k1_xboole_0 & ! [B] : ~ ( r2_tarski(B,k1_xboole_0) & ! [C] : ( r2_tarski(C,k1_xboole_0) => r1_tarski(B,C) ) ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,A) & r1_tarski(E,A) & ~ ( E != k1_xboole_0 & ! [F] : ~ ( r2_tarski(F,E) & ! [G] : ( r2_tarski(G,E) => r1_tarski(F,G) ) ) ) ) => ~ ( k2_xboole_0(E,k1_tarski(D)) != k1_xboole_0 & ! [H] : ~ ( r2_tarski(H,k2_xboole_0(E,k1_tarski(D))) & ! [I] : ( r2_tarski(I,k2_xboole_0(E,k1_tarski(D))) => r1_tarski(H,I) ) ) ) ) ) => ~ ( A != k1_xboole_0 & ! [J] : ~ ( r2_tarski(J,A) & ! [K] : ( r2_tarski(K,A) => r1_tarski(J,K) ) ) ) ) )).
fof(s2_finset_1__e10_3_1__waybel_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ( ( v1_finset_1(C) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,B) & r1_lattice3(A,k1_xboole_0,D) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,B) & r1_lattice3(A,F,G) ) ) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,B) & r1_lattice3(A,k2_xboole_0(F,k1_tarski(E)),H) ) ) ) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(I,B) & r1_lattice3(A,C,I) ) ) ) )).
fof(s2_finset_1__e13_66_1_1__rcomp_3,axiom,( ! [A] : ( ( v1_finset_1(A) & ( ~ v1_xboole_0(k1_xboole_0) => r2_tarski(k1_setfam_1(k1_xboole_0),A) ) & ! [B] : ! [C] : ( ( r2_tarski(B,A) & r1_tarski(C,A) & ( ~ v1_xboole_0(C) => r2_tarski(k1_setfam_1(C),A) ) ) => ( ~ v1_xboole_0(k2_xboole_0(C,k1_tarski(B))) => r2_tarski(k1_setfam_1(k2_xboole_0(C,k1_tarski(B))),A) ) ) ) => ( ~ v1_xboole_0(A) => r2_tarski(k1_setfam_1(A),A) ) ) )).
fof(s2_finset_1__e20_61_1_1_2_2_1_1__rcomp_3,axiom,( ! [A] : ( ( v1_finset_1(A) & ( r1_tarski(k1_xboole_0,A) => ( v1_xboole_0(k1_xboole_0) | r2_tarski(k3_tarski(k1_xboole_0),A) ) ) & ! [B] : ! [C] : ( ( r2_tarski(B,A) & r1_tarski(C,A) & ( r1_tarski(C,A) => ( v1_xboole_0(C) | r2_tarski(k3_tarski(C),A) ) ) ) => ( r1_tarski(k2_xboole_0(C,k1_tarski(B)),A) => ( v1_xboole_0(k2_xboole_0(C,k1_tarski(B))) | r2_tarski(k3_tarski(k2_xboole_0(C,k1_tarski(B))),A) ) ) ) ) => ( r1_tarski(A,A) => ( v1_xboole_0(A) | r2_tarski(k3_tarski(A),A) ) ) ) )).
fof(s2_finset_1__e29_31_1__waybel_3,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ( k1_xboole_0 != k1_xboole_0 => r2_tarski(k1_yellow_0(A,k1_xboole_0),k1_xboole_0) ) & ! [C] : ! [D] : ( ( r2_tarski(C,B) & r1_tarski(D,B) & ( D != k1_xboole_0 => r2_tarski(k1_yellow_0(A,D),D) ) ) => ( k2_xboole_0(D,k1_tarski(C)) != k1_xboole_0 => r2_tarski(k1_yellow_0(A,k2_xboole_0(D,k1_tarski(C))),k2_xboole_0(D,k1_tarski(C))) ) ) ) => ( B != k1_xboole_0 => r2_tarski(k1_yellow_0(A,B),B) ) ) ) )).
fof(s2_finset_1__e37_67__waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( v1_finset_1(k10_xtuple_0(B)) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = k3_tarski(k1_xboole_0) & v2_compts_1(C,A) ) & ! [D] : ! [E] : ( ( r2_tarski(D,k10_xtuple_0(B)) & r1_tarski(E,k10_xtuple_0(B)) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = k3_tarski(E) & v2_compts_1(F,A) ) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = k3_tarski(k2_xboole_0(E,k1_tarski(D))) & v2_compts_1(G,A) ) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = k3_tarski(k10_xtuple_0(B)) & v2_compts_1(H,A) ) ) ) )).
fof(s2_finset_1__e4_1__yellow13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & k1_xboole_0 = C & v4_pre_topc(C,A) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & E = F & v4_pre_topc(F,A) ) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & k2_xboole_0(E,k1_tarski(D)) = G & v4_pre_topc(G,A) ) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & B = H & v4_pre_topc(H,A) ) ) ) )).
fof(s2_finset_1__e4_21__waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & D = k1_xboole_0 & k12_lattice3(A,B,k1_yellow_0(A,D)) = k1_yellow_0(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),B),D)) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = F & k12_lattice3(A,B,k1_yellow_0(A,G)) = k1_yellow_0(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),B),G)) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = k2_xboole_0(F,k1_tarski(E)) & k12_lattice3(A,B,k1_yellow_0(A,H)) = k1_yellow_0(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),B),H)) ) ) ) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & I = C & k12_lattice3(A,B,k1_yellow_0(A,I)) = k1_yellow_0(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),B),I)) ) ) ) )).
fof(s2_finset_1__e4_22_1_1_2_2_2_1__goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) ) => ( ( v1_finset_1(C) & ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) & ! [E] : ~ ( r2_tarski(E,k1_xboole_0) & ! [F] : ~ ( r2_tarski(F,D) & r2_tarski(E,F) ) ) ) & ! [G] : ! [H] : ( ( r2_tarski(G,C) & r1_tarski(H,C) & ? [I] : ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(B)) & ! [J] : ~ ( r2_tarski(J,H) & ! [K] : ~ ( r2_tarski(K,I) & r2_tarski(J,K) ) ) ) ) => ? [L] : ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(B)) & ! [M] : ~ ( r2_tarski(M,k2_xboole_0(H,k1_tarski(G))) & ! [N] : ~ ( r2_tarski(N,L) & r2_tarski(M,N) ) ) ) ) ) => ? [O] : ( v1_finset_1(O) & m1_subset_1(O,k1_zfmisc_1(B)) & ! [P] : ~ ( r2_tarski(P,C) & ! [Q] : ~ ( r2_tarski(Q,O) & r2_tarski(P,Q) ) ) ) ) ) )).
fof(s2_finset_1__e4_22__waybel_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & D = k1_xboole_0 & k13_lattice3(A,B,k2_yellow_0(A,D)) = k2_yellow_0(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),B),D)) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = F & k13_lattice3(A,B,k2_yellow_0(A,G)) = k2_yellow_0(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),B),G)) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = k2_xboole_0(F,k1_tarski(E)) & k13_lattice3(A,B,k2_yellow_0(A,H)) = k2_yellow_0(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),B),H)) ) ) ) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & I = C & k13_lattice3(A,B,k2_yellow_0(A,I)) = k2_yellow_0(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),B),I)) ) ) ) )).
fof(s2_finset_1__e4_30__qc_trans,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ( ( v1_finset_1(B) & ~ ( v1_finset_1(k1_xboole_0) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k3_cqc_lang(A))) & ! [C] : ( ( v4_card_3(C) & m1_qc_lang1(C) ) => ~ ( v1_finset_1(k1_xboole_0) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k3_cqc_lang(C))) & v1_qc_trans(A,C) ) ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ~ ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(A))) & ! [F] : ( ( v4_card_3(F) & m1_qc_lang1(F) ) => ~ ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(F))) & v1_qc_trans(A,F) ) ) ) ) => ~ ( v1_finset_1(k2_xboole_0(E,k1_tarski(D))) & m1_subset_1(k2_xboole_0(E,k1_tarski(D)),k1_zfmisc_1(k3_cqc_lang(A))) & ! [G] : ( ( v4_card_3(G) & m1_qc_lang1(G) ) => ~ ( v1_finset_1(k2_xboole_0(E,k1_tarski(D))) & m1_subset_1(k2_xboole_0(E,k1_tarski(D)),k1_zfmisc_1(k3_cqc_lang(G))) & v1_qc_trans(A,G) ) ) ) ) ) => ~ ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & ! [H] : ( ( v4_card_3(H) & m1_qc_lang1(H) ) => ~ ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(H))) & v1_qc_trans(A,H) ) ) ) ) ) )).
fof(s2_finset_1__e4_43__bspace,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ( v1_finset_1(B) & ~ ( m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)) & ! [C] : ( m2_vectsp_6(C,k2_bspace,k7_bspace(A),k9_bspace(A)) => k4_vectsp_6(k2_bspace,k7_bspace(A),C) != k1_xboole_0 ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ~ ( m1_subset_1(E,k1_zfmisc_1(A)) & ! [F] : ( m2_vectsp_6(F,k2_bspace,k7_bspace(A),k9_bspace(A)) => k4_vectsp_6(k2_bspace,k7_bspace(A),F) != E ) ) ) => ~ ( m1_subset_1(k2_xboole_0(E,k1_tarski(D)),k1_zfmisc_1(A)) & ! [G] : ( m2_vectsp_6(G,k2_bspace,k7_bspace(A),k9_bspace(A)) => k4_vectsp_6(k2_bspace,k7_bspace(A),G) != k2_xboole_0(E,k1_tarski(D)) ) ) ) ) => ~ ( m1_subset_1(B,k1_zfmisc_1(A)) & ! [H] : ( m2_vectsp_6(H,k2_bspace,k7_bspace(A),k9_bspace(A)) => k4_vectsp_6(k2_bspace,k7_bspace(A),H) != B ) ) ) ) )).
fof(s2_finset_1__e4_50__card_1,axiom,( ! [A] : ( ( v1_finset_1(A) & ? [B] : ( v7_ordinal1(B) & r2_wellord2(k1_xboole_0,B) ) & ! [C] : ! [D] : ( ( r2_tarski(C,A) & r1_tarski(D,A) & ? [E] : ( v7_ordinal1(E) & r2_wellord2(D,E) ) ) => ? [F] : ( v7_ordinal1(F) & r2_wellord2(k2_xboole_0(D,k1_tarski(C)),F) ) ) ) => ? [G] : ( v7_ordinal1(G) & r2_wellord2(A,G) ) ) )).
fof(s2_finset_1__e5_17_1__waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(C) & ~ ( ~ v1_xboole_0(k1_xboole_0) & r2_tarski(k2_yellow_0(A,k1_xboole_0),B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k1_xboole_0) & r2_tarski(D,B) ) ) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ~ ( ~ v1_xboole_0(F) & r2_tarski(k2_yellow_0(A,F),B) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,F) & r2_tarski(G,B) ) ) ) ) => ~ ( ~ v1_xboole_0(k2_xboole_0(F,k1_tarski(E))) & r2_tarski(k2_yellow_0(A,k2_xboole_0(F,k1_tarski(E))),B) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,k2_xboole_0(F,k1_tarski(E))) & r2_tarski(H,B) ) ) ) ) ) => ~ ( ~ v1_xboole_0(C) & r2_tarski(k2_yellow_0(A,C),B) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r2_tarski(I,C) & r2_tarski(I,B) ) ) ) ) ) )).
fof(s2_finset_1__e5_18_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( v1_finset_1(C) & ( k1_xboole_0 != k1_xboole_0 => r2_tarski(k2_yellow_0(A,k1_xboole_0),u1_struct_0(B)) ) & ! [D] : ! [E] : ( ( r2_tarski(D,C) & r1_tarski(E,C) & ( E != k1_xboole_0 => r2_tarski(k2_yellow_0(A,E),u1_struct_0(B)) ) ) => ( k2_xboole_0(E,k1_tarski(D)) != k1_xboole_0 => r2_tarski(k2_yellow_0(A,k2_xboole_0(E,k1_tarski(D))),u1_struct_0(B)) ) ) ) => ( C != k1_xboole_0 => r2_tarski(k2_yellow_0(A,C),u1_struct_0(B)) ) ) ) )).
fof(s2_finset_1__e5_19_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( v1_finset_1(C) & ( k1_xboole_0 != k1_xboole_0 => r2_tarski(k1_yellow_0(A,k1_xboole_0),u1_struct_0(B)) ) & ! [D] : ! [E] : ( ( r2_tarski(D,C) & r1_tarski(E,C) & ( E != k1_xboole_0 => r2_tarski(k1_yellow_0(A,E),u1_struct_0(B)) ) ) => ( k2_xboole_0(E,k1_tarski(D)) != k1_xboole_0 => r2_tarski(k1_yellow_0(A,k2_xboole_0(E,k1_tarski(D))),u1_struct_0(B)) ) ) ) => ( C != k1_xboole_0 => r2_tarski(k1_yellow_0(A,C),u1_struct_0(B)) ) ) ) )).
fof(s2_finset_1__e5_19_2_3__goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v1_qc_trans(B,A) & m1_qc_lang1(B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) & m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( ( v1_finset_1(D) & ? [E] : ( ~ v1_xboole_0(E) & ? [F] : ( m1_valuat_1(F,B,E) & ? [G] : ( m2_funct_2(G,k3_qc_lang1(B),E,k2_valuat_1(B,E)) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_cqc_lang(B))) & H = k1_xboole_0 & r6_calcul_1(B,k4_subset_1(k3_cqc_lang(B),C,H),E,F,G) ) ) ) ) & ! [I] : ! [J] : ( ( r2_tarski(I,D) & r1_tarski(J,D) & ? [K] : ( ~ v1_xboole_0(K) & ? [L] : ( m1_valuat_1(L,B,K) & ? [M] : ( m2_funct_2(M,k3_qc_lang1(B),K,k2_valuat_1(B,K)) & ? [N] : ( m1_subset_1(N,k1_zfmisc_1(k3_cqc_lang(B))) & N = J & r6_calcul_1(B,k4_subset_1(k3_cqc_lang(B),C,N),K,L,M) ) ) ) ) ) => ? [O] : ( ~ v1_xboole_0(O) & ? [P] : ( m1_valuat_1(P,B,O) & ? [Q] : ( m2_funct_2(Q,k3_qc_lang1(B),O,k2_valuat_1(B,O)) & ? [R] : ( m1_subset_1(R,k1_zfmisc_1(k3_cqc_lang(B))) & R = k2_xboole_0(J,k1_tarski(I)) & r6_calcul_1(B,k4_subset_1(k3_cqc_lang(B),C,R),O,P,Q) ) ) ) ) ) ) => ? [S] : ( ~ v1_xboole_0(S) & ? [T] : ( m1_valuat_1(T,B,S) & ? [U] : ( m2_funct_2(U,k3_qc_lang1(B),S,k2_valuat_1(B,S)) & ? [V] : ( m1_subset_1(V,k1_zfmisc_1(k3_cqc_lang(B))) & V = D & r6_calcul_1(B,k4_subset_1(k3_cqc_lang(B),C,V),S,T,U) ) ) ) ) ) ) )).
fof(s2_finset_1__e5_21_1__waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(C) & ~ ( ~ v1_xboole_0(k1_xboole_0) & r2_tarski(k1_yellow_0(A,k1_xboole_0),B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k1_xboole_0) & r2_tarski(D,B) ) ) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ~ ( ~ v1_xboole_0(F) & r2_tarski(k1_yellow_0(A,F),B) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,F) & r2_tarski(G,B) ) ) ) ) => ~ ( ~ v1_xboole_0(k2_xboole_0(F,k1_tarski(E))) & r2_tarski(k1_yellow_0(A,k2_xboole_0(F,k1_tarski(E))),B) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,k2_xboole_0(F,k1_tarski(E))) & r2_tarski(H,B) ) ) ) ) ) => ~ ( ~ v1_xboole_0(C) & r2_tarski(k1_yellow_0(A,C),B) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r2_tarski(I,C) & r2_tarski(I,B) ) ) ) ) ) )).
fof(s2_finset_1__e5_21__topreal6,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( v1_finset_1(B) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = k3_tarski(k1_xboole_0) & v2_compts_1(C,A) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = k3_tarski(E) & v2_compts_1(F,A) ) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = k3_tarski(k2_xboole_0(E,k1_tarski(D))) & v2_compts_1(G,A) ) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = k3_tarski(B) & v2_compts_1(H,A) ) ) ) )).
fof(s2_finset_1__e5_24_1__waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(C) & ( B = k2_yellow_0(A,k1_xboole_0) => ( v1_xboole_0(k1_xboole_0) | r2_tarski(B,k1_xboole_0) ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,C) & r1_tarski(E,C) & ( B = k2_yellow_0(A,E) => ( v1_xboole_0(E) | r2_tarski(B,E) ) ) ) => ( B = k2_yellow_0(A,k2_xboole_0(E,k1_tarski(D))) => ( v1_xboole_0(k2_xboole_0(E,k1_tarski(D))) | r2_tarski(B,k2_xboole_0(E,k1_tarski(D))) ) ) ) ) => ( B = k2_yellow_0(A,C) => ( v1_xboole_0(C) | r2_tarski(B,C) ) ) ) ) )).
fof(s2_finset_1__e5_30__tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = k1_xboole_0 & v6_tbsp_1(C,A) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = E & v6_tbsp_1(F,A) ) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = k2_xboole_0(E,k1_tarski(D)) & v6_tbsp_1(G,A) ) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = B & v6_tbsp_1(H,A) ) ) ) )).
fof(s2_finset_1__e5_33__tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( v1_finset_1(B) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = k3_tarski(k1_xboole_0) & v6_tbsp_1(C,A) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = k3_tarski(E) & v6_tbsp_1(F,A) ) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = k3_tarski(k2_xboole_0(E,k1_tarski(D))) & v6_tbsp_1(G,A) ) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = k3_tarski(B) & v6_tbsp_1(H,A) ) ) ) )).
fof(s2_finset_1__e5_39_1__waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(C) & ~ ( ~ v1_xboole_0(k1_xboole_0) & r1_orders_2(A,k2_yellow_0(A,k1_xboole_0),B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k1_xboole_0) & r1_orders_2(A,D,B) ) ) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ~ ( ~ v1_xboole_0(F) & r1_orders_2(A,k2_yellow_0(A,F),B) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,F) & r1_orders_2(A,G,B) ) ) ) ) => ~ ( ~ v1_xboole_0(k2_xboole_0(F,k1_tarski(E))) & r1_orders_2(A,k2_yellow_0(A,k2_xboole_0(F,k1_tarski(E))),B) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,k2_xboole_0(F,k1_tarski(E))) & r1_orders_2(A,H,B) ) ) ) ) ) => ~ ( ~ v1_xboole_0(C) & r1_orders_2(A,k2_yellow_0(A,C),B) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r2_tarski(I,C) & r1_orders_2(A,I,B) ) ) ) ) ) )).
fof(s2_finset_1__e5_46__waybel30,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v4_waybel11(A) & v2_waybel_2(A) & l1_waybel_9(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & C = a_1_10_waybel30(A) & k1_waybel30(A,k5_setfam_1(u1_struct_0(A),C)) = k3_tarski(a_1_11_waybel30(A)) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & F = a_2_11_waybel30(A,E) & k1_waybel30(A,k5_setfam_1(u1_struct_0(A),F)) = k3_tarski(a_2_12_waybel30(A,E)) ) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & G = a_3_7_waybel30(A,D,E) & k1_waybel30(A,k5_setfam_1(u1_struct_0(A),G)) = k3_tarski(a_3_8_waybel30(A,D,E)) ) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & H = a_2_14_waybel30(A,B) & k1_waybel30(A,k5_setfam_1(u1_struct_0(A),H)) = k3_tarski(a_2_13_waybel30(A,B)) ) ) ) )).
fof(s2_finset_1__e5_65_1__yellow_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ( ~ v1_xboole_0(k1_xboole_0) => r1_yellow_0(A,k1_xboole_0) ) & ! [C] : ! [D] : ( ( r2_tarski(C,B) & r1_tarski(D,B) & ( ~ v1_xboole_0(D) => r1_yellow_0(A,D) ) ) => ( ~ v1_xboole_0(k2_xboole_0(D,k1_tarski(C))) => r1_yellow_0(A,k2_xboole_0(D,k1_tarski(C))) ) ) ) => ( ~ v1_xboole_0(B) => r1_yellow_0(A,B) ) ) ) )).
fof(s2_finset_1__e5_66_1__yellow_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ( ~ v1_xboole_0(k1_xboole_0) => r2_yellow_0(A,k1_xboole_0) ) & ! [C] : ! [D] : ( ( r2_tarski(C,B) & r1_tarski(D,B) & ( ~ v1_xboole_0(D) => r2_yellow_0(A,D) ) ) => ( ~ v1_xboole_0(k2_xboole_0(D,k1_tarski(C))) => r2_yellow_0(A,k2_xboole_0(D,k1_tarski(C))) ) ) ) => ( ~ v1_xboole_0(B) => r2_yellow_0(A,B) ) ) ) )).
fof(s2_finset_1__e6_102__waybel34,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(D) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( E = k1_xboole_0 => r4_waybel_0(A,B,C,E) ) ) & ! [F] : ! [G] : ( ( r2_tarski(F,D) & r1_tarski(G,D) & ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) ) => ( H = G => r4_waybel_0(A,B,C,H) ) ) ) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) ) => ( I = k2_xboole_0(G,k1_tarski(F)) => r4_waybel_0(A,B,C,I) ) ) ) ) => ! [J] : ( ( v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) ) => ( J = D => r4_waybel_0(A,B,C,J) ) ) ) ) )).
fof(s2_finset_1__e6_15__cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ( v1_finset_1(B) & ? [C] : ( r1_tarski(k3_tarski(k1_xboole_0),C) & r2_tarski(C,A) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( r1_tarski(k3_tarski(E),F) & r2_tarski(F,A) ) ) => ? [G] : ( r1_tarski(k3_tarski(k2_xboole_0(E,k1_tarski(D))),G) & r2_tarski(G,A) ) ) ) => ? [H] : ( r1_tarski(k3_tarski(B),H) & r2_tarski(H,A) ) ) ) )).
fof(s2_finset_1__e6_17__cohsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ( v1_finset_1(B) & ? [C] : ( ! [D] : ( r2_tarski(D,k1_xboole_0) => r1_tarski(C,D) ) & r2_tarski(C,A) ) & ! [E] : ! [F] : ( ( r2_tarski(E,B) & r1_tarski(F,B) & ? [G] : ( ! [H] : ( r2_tarski(H,F) => r1_tarski(G,H) ) & r2_tarski(G,A) ) ) => ? [I] : ( ! [J] : ( r2_tarski(J,k2_xboole_0(F,k1_tarski(E))) => r1_tarski(I,J) ) & r2_tarski(I,A) ) ) ) => ? [K] : ( ! [L] : ( r2_tarski(L,B) => r1_tarski(K,L) ) & r2_tarski(K,A) ) ) ) )).
fof(s2_finset_1__e6_34__finset_1,axiom,( ! [A] : ( ( v1_finset_1(A) & ~ ( k1_xboole_0 != k1_xboole_0 & ! [B] : ~ ( r2_tarski(B,k1_xboole_0) & ! [C] : ( r2_tarski(C,k1_xboole_0) => r1_tarski(B,C) ) ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,A) & r1_tarski(E,A) & ~ ( E != k1_xboole_0 & ! [F] : ~ ( r2_tarski(F,E) & ! [G] : ( r2_tarski(G,E) => r1_tarski(F,G) ) ) ) ) => ~ ( k2_xboole_0(E,k1_tarski(D)) != k1_xboole_0 & ! [H] : ~ ( r2_tarski(H,k2_xboole_0(E,k1_tarski(D))) & ! [I] : ( r2_tarski(I,k2_xboole_0(E,k1_tarski(D))) => r1_tarski(H,I) ) ) ) ) ) => ~ ( A != k1_xboole_0 & ! [J] : ~ ( r2_tarski(J,A) & ! [K] : ( r2_tarski(K,A) => r1_tarski(J,K) ) ) ) ) )).
fof(s2_finset_1__e6_35__finset_1,axiom,( ! [A] : ( ( v1_finset_1(A) & ~ ( k1_xboole_0 != k1_xboole_0 & ! [B] : ~ ( r2_tarski(B,k1_xboole_0) & ! [C] : ( r2_tarski(C,k1_xboole_0) => r1_tarski(C,B) ) ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,A) & r1_tarski(E,A) & ~ ( E != k1_xboole_0 & ! [F] : ~ ( r2_tarski(F,E) & ! [G] : ( r2_tarski(G,E) => r1_tarski(G,F) ) ) ) ) => ~ ( k2_xboole_0(E,k1_tarski(D)) != k1_xboole_0 & ! [H] : ~ ( r2_tarski(H,k2_xboole_0(E,k1_tarski(D))) & ! [I] : ( r2_tarski(I,k2_xboole_0(E,k1_tarski(D))) => r1_tarski(I,H) ) ) ) ) ) => ~ ( A != k1_xboole_0 & ! [J] : ~ ( r2_tarski(J,A) & ! [K] : ( r2_tarski(K,A) => r1_tarski(K,J) ) ) ) ) )).
fof(s2_finset_1__e6_42__card_2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => ( ( v1_finset_1(B) & ? [C] : ( v1_finset_1(C) & C = k1_xboole_0 & k4_card_1(k6_subset_1(A,C)) = k6_xcmplx_0(k4_card_1(A),k4_card_1(C)) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( v1_finset_1(F) & F = E & k4_card_1(k6_subset_1(A,F)) = k6_xcmplx_0(k4_card_1(A),k4_card_1(F)) ) ) => ? [G] : ( v1_finset_1(G) & G = k2_xboole_0(E,k1_tarski(D)) & k4_card_1(k6_subset_1(A,G)) = k6_xcmplx_0(k4_card_1(A),k4_card_1(G)) ) ) ) => ? [H] : ( v1_finset_1(H) & H = B & k4_card_1(k6_subset_1(A,H)) = k6_xcmplx_0(k4_card_1(A),k4_card_1(H)) ) ) ) )).
fof(s2_finset_1__e6_5__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(D) & ( k1_xboole_0 != k1_xboole_0 => ( r2_yellow_0(A,k1_xboole_0) & r2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k1_xboole_0)) & k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k1_xboole_0)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_yellow_0(A,k1_xboole_0)) ) ) & ! [E] : ! [F] : ( ( r2_tarski(E,D) & r1_tarski(F,D) & ( F != k1_xboole_0 => ( r2_yellow_0(A,F) & r2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F)) & k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_yellow_0(A,F)) ) ) ) => ( k2_xboole_0(F,k1_tarski(E)) != k1_xboole_0 => ( r2_yellow_0(A,k2_xboole_0(F,k1_tarski(E))) & r2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_xboole_0(F,k1_tarski(E)))) & k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_xboole_0(F,k1_tarski(E)))) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_yellow_0(A,k2_xboole_0(F,k1_tarski(E)))) ) ) ) ) => ( D != k1_xboole_0 => ( r2_yellow_0(A,D) & r2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) & k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_yellow_0(A,D)) ) ) ) ) )).
fof(s2_finset_1__e6_65__finseq_4,axiom,( ! [A] : ( ( v1_finset_1(A) & ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & k10_xtuple_0(B) = k1_xboole_0 & v2_funct_1(B) ) & ! [C] : ! [D] : ( ( r2_tarski(C,A) & r1_tarski(D,A) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k10_xtuple_0(E) = D & v2_funct_1(E) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k10_xtuple_0(F) = k2_xboole_0(D,k1_tarski(C)) & v2_funct_1(F) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & k10_xtuple_0(G) = A & v2_funct_1(G) ) ) )).
fof(s2_finset_1__e7_12__bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ~ ( k1_xboole_0 != k1_xboole_0 & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,k1_xboole_0) & r2_waybel_4(k1_xboole_0,C,u1_orders_2(A)) ) ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ~ ( E != k1_xboole_0 & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,E) & r2_waybel_4(E,F,u1_orders_2(A)) ) ) ) ) => ~ ( k2_xboole_0(E,k1_tarski(D)) != k1_xboole_0 & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,k2_xboole_0(E,k1_tarski(D))) & r2_waybel_4(k2_xboole_0(E,k1_tarski(D)),G,u1_orders_2(A)) ) ) ) ) ) => ~ ( B != k1_xboole_0 & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,B) & r2_waybel_4(B,H,u1_orders_2(A)) ) ) ) ) ) )).
fof(s2_finset_1__e7_13__bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ~ ( k1_xboole_0 != k1_xboole_0 & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,k1_xboole_0) & r4_waybel_4(k1_xboole_0,C,u1_orders_2(A)) ) ) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ~ ( E != k1_xboole_0 & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,E) & r4_waybel_4(E,F,u1_orders_2(A)) ) ) ) ) => ~ ( k2_xboole_0(E,k1_tarski(D)) != k1_xboole_0 & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,k2_xboole_0(E,k1_tarski(D))) & r4_waybel_4(k2_xboole_0(E,k1_tarski(D)),G,u1_orders_2(A)) ) ) ) ) ) => ~ ( B != k1_xboole_0 & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,B) & r4_waybel_4(B,H,u1_orders_2(A)) ) ) ) ) ) )).
fof(s2_finset_1__e7_23__dynkin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_finset_1(C) ) => ( ( v1_finset_1(C) & r2_tarski(k3_tarski(k1_xboole_0),B) & ! [D] : ! [E] : ( ( r2_tarski(D,C) & r1_tarski(E,C) & r2_tarski(k3_tarski(E),B) ) => r2_tarski(k3_tarski(k2_xboole_0(E,k1_tarski(D))),B) ) ) => r2_tarski(k3_tarski(C),B) ) ) )).
fof(s2_finset_1__e7_27__zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ( ( v1_finset_1(C) & r1_tarski(k9_funct_2(k1_xboole_0,k4_ordinal1),B) & ! [D] : ! [E] : ( ( r2_tarski(D,C) & r1_tarski(E,C) & r1_tarski(k9_funct_2(E,k4_ordinal1),B) ) => r1_tarski(k9_funct_2(k2_xboole_0(E,k1_tarski(D)),k4_ordinal1),B) ) ) => r1_tarski(k9_funct_2(C,k4_ordinal1),B) ) ) )).
fof(s2_finset_1__e7_33__zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ( v1_finset_1(C) & r2_tarski(k1_xboole_0,B) & ! [D] : ! [E] : ( ( r2_tarski(D,C) & r1_tarski(E,C) & r2_tarski(E,B) ) => r2_tarski(k2_xboole_0(E,k1_tarski(D)),B) ) ) => r2_tarski(C,B) ) ) )).
fof(s2_finset_1__e7_3__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( ( v1_finset_1(C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => ( D = k1_xboole_0 => r2_tarski(k8_setfam_1(B,D),A) ) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r1_tarski(F,C) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(B))) => ( G = F => r2_tarski(k8_setfam_1(B,G),A) ) ) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(B))) => ( H = k2_xboole_0(F,k1_tarski(E)) => r2_tarski(k8_setfam_1(B,H),A) ) ) ) ) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(B))) => ( I = C => r2_tarski(k8_setfam_1(B,I),A) ) ) ) ) )).
fof(s2_finset_1__e7_86__rltopsp1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( v1_finset_1(B) & ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = k3_tarski(k1_xboole_0) & v9_rltopsp1(C,A) ) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r1_tarski(E,B) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = k3_tarski(E) & v9_rltopsp1(F,A) ) ) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = k3_tarski(k2_xboole_0(E,k1_tarski(D))) & v9_rltopsp1(G,A) ) ) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = k3_tarski(B) & v9_rltopsp1(H,A) ) ) ) )).
fof(s2_finset_1__e8_23__finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & r2_tarski(k1_xboole_0,B) & ! [C] : ! [D] : ( ( r2_tarski(C,A) & r1_tarski(D,A) & r2_tarski(D,B) ) => r2_tarski(k2_xboole_0(D,k1_tarski(C)),B) ) ) => r2_tarski(A,B) ) )).
fof(s2_finset_1__e8_56__topgen_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,k3_topmetr) & ~ v1_xboole_0(C) & v1_finset_1(C) & v1_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & v1_funcop_1(D) ) => ( ( v1_finset_1(C) & ~ ( ~ v1_xboole_0(k1_xboole_0) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_numbers)) & G = k10_xtuple_0(k1_funct_1(k9_funct_6(k5_relat_1(D,k1_xboole_0)),F)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,F) != k1_xxreal_2(G) ) ) ) ) & ! [H] : ! [I] : ( ( r2_tarski(H,C) & r1_tarski(I,C) & ~ ( ~ v1_xboole_0(I) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(J,A,B) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( ~ v1_xboole_0(L) & v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(k1_numbers)) & L = k10_xtuple_0(k1_funct_1(k9_funct_6(k5_relat_1(D,I)),K)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),J,K) != k1_xxreal_2(L) ) ) ) ) ) => ~ ( ~ v1_xboole_0(k2_xboole_0(I,k1_tarski(H))) & ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(M,A,B) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ? [O] : ( ~ v1_xboole_0(O) & v1_finset_1(O) & m1_subset_1(O,k1_zfmisc_1(k1_numbers)) & O = k10_xtuple_0(k1_funct_1(k9_funct_6(k5_relat_1(D,k2_xboole_0(I,k1_tarski(H)))),N)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),M,N) != k1_xxreal_2(O) ) ) ) ) ) ) => ~ ( ~ v1_xboole_0(C) & ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(P,A,B) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [Q] : ( m1_subset_1(Q,u1_struct_0(A)) & ? [R] : ( ~ v1_xboole_0(R) & v1_finset_1(R) & m1_subset_1(R,k1_zfmisc_1(k1_numbers)) & R = k10_xtuple_0(k1_funct_1(k9_funct_6(k5_relat_1(D,C)),Q)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),P,Q) != k1_xxreal_2(R) ) ) ) ) ) ) )).
fof(s2_finset_1__e9_28__zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( ( v1_finset_1(D) & r2_tarski(k1_funct_2(k1_xboole_0,B),C) & ! [E] : ! [F] : ( ( r2_tarski(E,D) & r1_tarski(F,D) & r2_tarski(k1_funct_2(F,B),C) ) => r2_tarski(k1_funct_2(k2_xboole_0(F,k1_tarski(E)),B),C) ) ) => r2_tarski(k1_funct_2(D,B),C) ) ) )).
fof(s2_fraenkel__e3_22__substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) & m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) & m1_subset_1(E,k5_finsub_1(k4_partfun1(A,B))) ) => ( ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ! [G] : ( m1_subset_1(G,k4_partfun1(A,B)) => ( ( r2_tarski(F,C) & r2_tarski(G,E) & r1_partfun1(F,G) ) => ( r2_tarski(F,D) & r2_tarski(G,E) & r1_partfun1(F,G) ) ) ) ) => r1_tarski(a_4_0_substlat(A,B,C,E),a_4_0_substlat(A,B,D,E)) ) ) )).
fof(s2_fraenkel__e3_46__normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) & m1_subset_1(C,k5_finsub_1(k7_normform(A))) & m1_subset_1(D,k5_finsub_1(k7_normform(A))) ) => ( ! [E] : ( m1_subset_1(E,k7_normform(A)) => ! [F] : ( m1_subset_1(F,k7_normform(A)) => ( ( r2_tarski(E,B) & r2_tarski(F,D) ) => ( r2_tarski(E,C) & r2_tarski(F,D) ) ) ) ) => r1_tarski(a_3_4_normform(A,B,D),a_3_4_normform(A,C,D)) ) ) )).
fof(s2_frechet2__e3_42_1__frechet2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & v3_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ? [E] : ( m1_subset_1(E,k4_ordinal1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_xxreal_0(E,F) & G = k8_nat_1(u1_struct_0(A),B,F) ) => r2_tarski(G,D) ) ) ) ) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(E,F) => r2_tarski(k8_nat_1(u1_struct_0(A),k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,u1_struct_0(A),C,B),F),D) ) ) ) ) ) )).
fof(s2_funct_1__e11_25__wellord2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) ) => ( ( ! [C] : ! [D] : ! [E] : ( ( r2_hidden(C,A) & ? [F] : ( F = C & r2_hidden(D,F) & ! [G] : ( r2_hidden(G,F) => r2_hidden(k4_tarski(D,G),B) ) ) & ? [H] : ( H = C & r2_hidden(E,H) & ! [I] : ( r2_hidden(I,H) => r2_hidden(k4_tarski(E,I),B) ) ) ) => D = E ) & ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ? [J] : ( J = C & r2_hidden(D,J) & ! [K] : ( r2_hidden(K,J) => r2_hidden(k4_tarski(D,K),B) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => ? [L] : ( L = D & r2_hidden(k1_funct_1(C,D),L) & ! [M] : ( r2_hidden(M,L) => r2_hidden(k4_tarski(k1_funct_1(C,D),M),B) ) ) ) ) ) ) )).
fof(s2_funct_1__e11_27__dist_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) & m1_dist_2(C,A,B) & m1_subset_1(D,k1_zfmisc_1(k4_finseq_1(k9_dist_1(A,C)))) ) => ( ( ! [E] : ! [F] : ! [G] : ( ( r2_hidden(E,k4_finseq_1(k5_dist_2(k4_ordinal1,k9_dist_1(A,C),D))) & ? [H] : ( m1_subset_1(H,A) & H = k1_funct_1(k19_finseq_1(A),k1_funct_1(k19_finseq_1(D),E)) & F = k1_dist_1(A,C,H) ) & ? [I] : ( m1_subset_1(I,A) & I = k1_funct_1(k19_finseq_1(A),k1_funct_1(k19_finseq_1(D),E)) & G = k1_dist_1(A,C,I) ) ) => F = G ) & ! [E] : ~ ( r2_hidden(E,k4_finseq_1(k5_dist_2(k4_ordinal1,k9_dist_1(A,C),D))) & ! [F] : ~ ? [J] : ( m1_subset_1(J,A) & J = k1_funct_1(k19_finseq_1(A),k1_funct_1(k19_finseq_1(D),E)) & F = k1_dist_1(A,C,J) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_finseq_1(k5_dist_2(k4_ordinal1,k9_dist_1(A,C),D)) & ! [F] : ( r2_hidden(F,k4_finseq_1(k5_dist_2(k4_ordinal1,k9_dist_1(A,C),D))) => ? [K] : ( m1_subset_1(K,A) & K = k1_funct_1(k19_finseq_1(A),k1_funct_1(k19_finseq_1(D),F)) & k1_funct_1(E,F) = k1_dist_1(A,C,K) ) ) ) ) ) )).
fof(s2_funct_1__e13_39__card_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( ( ! [E] : ! [F] : ! [G] : ( ( r2_hidden(E,k2_xboole_0(A,B)) & ( ( r2_hidden(E,A) & F = k1_funct_1(C,E) ) | ( r2_hidden(E,B) & F = k1_funct_1(D,E) ) ) & ( ( r2_hidden(E,A) & G = k1_funct_1(C,E) ) | ( r2_hidden(E,B) & G = k1_funct_1(D,E) ) ) ) => F = G ) & ! [E] : ~ ( r2_hidden(E,k2_xboole_0(A,B)) & ! [F] : ~ ( ( r2_hidden(E,A) & F = k1_funct_1(C,E) ) | ( r2_hidden(E,B) & F = k1_funct_1(D,E) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k2_xboole_0(A,B) & ! [F] : ( r2_hidden(F,k2_xboole_0(A,B)) => ( ( r2_hidden(F,A) & k1_funct_1(E,F) = k1_funct_1(C,F) ) | ( r2_hidden(F,B) & k1_funct_1(E,F) = k1_funct_1(D,F) ) ) ) ) ) ) )).
fof(s2_funct_1__e14_65__orders_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( ( ! [C] : ! [D] : ! [E] : ( ( r2_hidden(C,k9_setfam_1(A)) & ( ( C != k1_xboole_0 & D = k1_funct_1(o_1_2_orders_1(B),C) ) | ( C = k1_xboole_0 & D = A ) ) & ( ( C != k1_xboole_0 & E = k1_funct_1(o_1_2_orders_1(B),C) ) | ( C = k1_xboole_0 & E = A ) ) ) => D = E ) & ! [C] : ~ ( r2_hidden(C,k9_setfam_1(A)) & ! [D] : ~ ( ( C != k1_xboole_0 & D = k1_funct_1(o_1_2_orders_1(B),C) ) | ( C = k1_xboole_0 & D = A ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_setfam_1(A) & ! [D] : ( r2_hidden(D,k9_setfam_1(A)) => ( ( D != k1_xboole_0 & k1_funct_1(C,D) = k1_funct_1(o_1_2_orders_1(B),D) ) | ( D = k1_xboole_0 & k1_funct_1(C,D) = A ) ) ) ) ) ) )).
fof(s2_funct_1__e21_7__wellset1,axiom,( ! [A] : ! [B] : ( ( ! [C] : ! [D] : ! [E] : ( ( r2_hidden(C,A) & r2_hidden(k4_tarski(D,C),B) & r2_hidden(k4_tarski(E,C),B) ) => D = E ) & ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ r2_hidden(k4_tarski(D,C),B) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => r2_hidden(k4_tarski(k1_funct_1(C,D),D),B) ) ) ) )).
fof(s2_funct_1__e22_61__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(D,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => ( ( ! [E] : ! [F] : ! [G] : ( ( r2_hidden(E,k2_finseq_1(k1_nat_1(C,1))) & ? [H] : ( v7_ordinal1(H) & E = k1_nat_1(H,1) & F = k1_nat_1(k1_funct_1(D,H),1) ) & ? [I] : ( v7_ordinal1(I) & E = k1_nat_1(I,1) & G = k1_nat_1(k1_funct_1(D,I),1) ) ) => F = G ) & ! [E] : ~ ( r2_hidden(E,k2_finseq_1(k1_nat_1(C,1))) & ! [F] : ~ ? [J] : ( v7_ordinal1(J) & E = k1_nat_1(J,1) & F = k1_nat_1(k1_funct_1(D,J),1) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k2_finseq_1(k1_nat_1(C,1)) & ! [F] : ( r2_hidden(F,k2_finseq_1(k1_nat_1(C,1))) => ? [K] : ( v7_ordinal1(K) & F = k1_nat_1(K,1) & k1_funct_1(E,F) = k1_nat_1(k1_funct_1(D,K),1) ) ) ) ) ) )).
fof(s2_funct_1__e34_7__wellset1,axiom,( ! [A] : ( ( ! [B] : ! [C] : ! [D] : ( ( r2_hidden(B,A) & C = k1_tarski(B) & D = k1_tarski(B) ) => C = D ) & ! [B] : ~ ( r2_hidden(B,A) & ! [C] : C != k1_tarski(B) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_tarski(C) ) ) ) )).
fof(s2_funct_1__e4_65_6_1__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) & v3_ordinal1(D) ) => ( ( ! [E] : ! [F] : ! [G] : ( ( r2_hidden(E,D) & ? [H] : ( v3_ordinal1(H) & E = H & ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & v5_ordinal1(I) & F = k1_funct_1(C,a_3_1_orders_1(A,B,I)) & k9_xtuple_0(I) = H & ! [J] : ( v3_ordinal1(J) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v5_ordinal1(K) ) => ( ( r2_tarski(J,H) & K = k5_relat_1(I,J) ) => k1_funct_1(I,J) = k1_funct_1(C,a_3_1_orders_1(A,B,K)) ) ) ) ) ) & ? [L] : ( v3_ordinal1(L) & E = L & ? [M] : ( v1_relat_1(M) & v1_funct_1(M) & v5_ordinal1(M) & G = k1_funct_1(C,a_3_1_orders_1(A,B,M)) & k9_xtuple_0(M) = L & ! [N] : ( v3_ordinal1(N) => ! [O] : ( ( v1_relat_1(O) & v1_funct_1(O) & v5_ordinal1(O) ) => ( ( r2_tarski(N,L) & O = k5_relat_1(M,N) ) => k1_funct_1(M,N) = k1_funct_1(C,a_3_1_orders_1(A,B,O)) ) ) ) ) ) ) => F = G ) & ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ? [P] : ( v3_ordinal1(P) & E = P & ? [Q] : ( v1_relat_1(Q) & v1_funct_1(Q) & v5_ordinal1(Q) & F = k1_funct_1(C,a_3_1_orders_1(A,B,Q)) & k9_xtuple_0(Q) = P & ! [R] : ( v3_ordinal1(R) => ! [S] : ( ( v1_relat_1(S) & v1_funct_1(S) & v5_ordinal1(S) ) => ( ( r2_tarski(R,P) & S = k5_relat_1(Q,R) ) => k1_funct_1(Q,R) = k1_funct_1(C,a_3_1_orders_1(A,B,S)) ) ) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( r2_hidden(F,D) => ? [T] : ( v3_ordinal1(T) & F = T & ? [U] : ( v1_relat_1(U) & v1_funct_1(U) & v5_ordinal1(U) & k1_funct_1(E,F) = k1_funct_1(C,a_3_1_orders_1(A,B,U)) & k9_xtuple_0(U) = T & ! [V] : ( v3_ordinal1(V) => ! [W] : ( ( v1_relat_1(W) & v1_funct_1(W) & v5_ordinal1(W) ) => ( ( r2_tarski(V,T) & W = k5_relat_1(U,V) ) => k1_funct_1(U,V) = k1_funct_1(C,a_3_1_orders_1(A,B,W)) ) ) ) ) ) ) ) ) ) )).
fof(s2_funct_1__e4_67_1_1_2__partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( ! [E] : ! [F] : ! [G] : ( ( r2_hidden(E,A) & ( r2_hidden(E,k1_relset_1(A,C)) => F = k1_funct_1(C,E) ) & ( r2_hidden(E,k1_relset_1(A,D)) => F = k1_funct_1(D,E) ) & ~ ( ~ r2_hidden(E,k1_relset_1(A,C)) & ~ r2_hidden(E,k1_relset_1(A,D)) & F != o_1_0_partfun1(B) ) & ( r2_hidden(E,k1_relset_1(A,C)) => G = k1_funct_1(C,E) ) & ( r2_hidden(E,k1_relset_1(A,D)) => G = k1_funct_1(D,E) ) & ~ ( ~ r2_hidden(E,k1_relset_1(A,C)) & ~ r2_hidden(E,k1_relset_1(A,D)) & G != o_1_0_partfun1(B) ) ) => F = G ) & ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ~ ( ( r2_hidden(E,k1_relset_1(A,C)) => F = k1_funct_1(C,E) ) & ( r2_hidden(E,k1_relset_1(A,D)) => F = k1_funct_1(D,E) ) & ~ ( ~ r2_hidden(E,k1_relset_1(A,C)) & ~ r2_hidden(E,k1_relset_1(A,D)) & F != o_1_0_partfun1(B) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = A & ! [F] : ( r2_hidden(F,A) => ( ( r2_hidden(F,k1_relset_1(A,C)) => k1_funct_1(E,F) = k1_funct_1(C,F) ) & ( r2_hidden(F,k1_relset_1(A,D)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ~ ( ~ r2_hidden(F,k1_relset_1(A,C)) & ~ r2_hidden(F,k1_relset_1(A,D)) & k1_funct_1(E,F) != o_1_0_partfun1(B) ) ) ) ) ) ) )).
fof(s2_funct_1__e5_15__wellord2,axiom,( ! [A] : ( v1_relat_1(A) => ( ( ! [B] : ! [C] : ! [D] : ( ( r2_hidden(B,k1_relat_1(A)) & ! [E] : ( v3_ordinal1(E) => ( E = C <=> r4_wellord1(k2_wellord1(A,k1_wellord1(A,B)),k1_wellord2(E)) ) ) & ! [F] : ( v3_ordinal1(F) => ( F = D <=> r4_wellord1(k2_wellord1(A,k1_wellord1(A,B)),k1_wellord2(F)) ) ) ) => C = D ) & ! [B] : ~ ( r2_hidden(B,k1_relat_1(A)) & ! [C] : ~ ! [G] : ( v3_ordinal1(G) => ( G = C <=> r4_wellord1(k2_wellord1(A,k1_wellord1(A,B)),k1_wellord2(G)) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_relat_1(A) & ! [C] : ( r2_hidden(C,k1_relat_1(A)) => ! [H] : ( v3_ordinal1(H) => ( H = k1_funct_1(B,C) <=> r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),k1_wellord2(H)) ) ) ) ) ) ) )).
fof(s2_funct_1__e5_18__scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => ( ( ! [B] : ! [C] : ! [D] : ( ( r2_hidden(B,k1_scmyciel(A)) & ! [E] : ! [F] : ( B = k2_tarski(E,F) => C = k2_tarski(k2_tarski(E,k4_tarski(F,k3_tarski(A))),k2_tarski(F,k4_tarski(E,k3_tarski(A)))) ) & ! [G] : ! [H] : ( B = k2_tarski(G,H) => D = k2_tarski(k2_tarski(G,k4_tarski(H,k3_tarski(A))),k2_tarski(H,k4_tarski(G,k3_tarski(A)))) ) ) => C = D ) & ! [B] : ~ ( r2_hidden(B,k1_scmyciel(A)) & ! [C] : ~ ! [I] : ! [J] : ( B = k2_tarski(I,J) => C = k2_tarski(k2_tarski(I,k4_tarski(J,k3_tarski(A))),k2_tarski(J,k4_tarski(I,k3_tarski(A)))) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_scmyciel(A) & ! [C] : ( r2_hidden(C,k1_scmyciel(A)) => ! [K] : ! [L] : ( C = k2_tarski(K,L) => k1_funct_1(B,C) = k2_tarski(k2_tarski(K,k4_tarski(L,k3_tarski(A))),k2_tarski(L,k4_tarski(K,k3_tarski(A)))) ) ) ) ) ) )).
fof(s2_funct_1__e5_27_1__funct_1,axiom,( ! [A] : ! [B] : ( ( ! [C] : ! [D] : ! [E] : ( ( r2_hidden(C,A) & ( C = B => D = k1_tarski(k1_xboole_0) ) & ( C != B => D = k1_xboole_0 ) & ( C = B => E = k1_tarski(k1_xboole_0) ) & ( C != B => E = k1_xboole_0 ) ) => D = E ) & ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ( ( C = B => D = k1_tarski(k1_xboole_0) ) & ( C != B => D = k1_xboole_0 ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => ( ( D = B => k1_funct_1(C,D) = k1_tarski(k1_xboole_0) ) & ( D != B => k1_funct_1(C,D) = k1_xboole_0 ) ) ) ) ) )).
fof(s2_funct_1__e5_40__card_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ! [D] : ! [E] : ! [F] : ( ( r2_hidden(D,k6_subset_1(A,k1_tarski(B))) & ( ( D = C & E = B ) | ( D != C & D = E ) ) & ( ( D = C & F = B ) | ( D != C & D = F ) ) ) => E = F ) & ! [D] : ~ ( r2_hidden(D,k6_subset_1(A,k1_tarski(B))) & ! [E] : ~ ( ( D = C & E = B ) | ( D != C & D = E ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k6_subset_1(A,k1_tarski(B)) & ! [E] : ( r2_hidden(E,k6_subset_1(A,k1_tarski(B))) => ( ( E = C & k1_funct_1(D,E) = B ) | ( E != C & E = k1_funct_1(D,E) ) ) ) ) ) )).
fof(s2_funct_1__e6_47_1_2_1_2_1__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( ( ! [E] : ! [F] : ! [G] : ( ( r2_hidden(E,k6_nat_lat) & r2_hidden(E,k6_nat_lat) & ? [H] : ( v7_ordinal1(H) & k1_nat_1(H,1) = E & F = k8_nat_1(C,D,H) ) & r2_hidden(E,k6_nat_lat) & ? [I] : ( v7_ordinal1(I) & k1_nat_1(I,1) = E & G = k8_nat_1(C,D,I) ) ) => F = G ) & ! [E] : ~ ( r2_hidden(E,k6_nat_lat) & ! [F] : ~ ( r2_hidden(E,k6_nat_lat) & ? [J] : ( v7_ordinal1(J) & k1_nat_1(J,1) = E & F = k8_nat_1(C,D,J) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k6_nat_lat & ! [F] : ( r2_hidden(F,k6_nat_lat) => ( r2_hidden(F,k6_nat_lat) & ? [K] : ( v7_ordinal1(K) & k1_nat_1(K,1) = F & k1_funct_1(E,F) = k8_nat_1(C,D,K) ) ) ) ) ) ) )).
fof(s2_funct_1__e8_20_1__card_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( ! [C] : ! [D] : ! [E] : ( ( r2_hidden(C,A) & ( ( r2_hidden(C,k10_xtuple_0(B)) & D = k1_funct_1(k2_funct_1(B),C) ) | ( ~ r2_hidden(C,k10_xtuple_0(B)) & D = k5_ordinal1 ) ) & ( ( r2_hidden(C,k10_xtuple_0(B)) & E = k1_funct_1(k2_funct_1(B),C) ) | ( ~ r2_hidden(C,k10_xtuple_0(B)) & E = k5_ordinal1 ) ) ) => D = E ) & ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ( ( r2_hidden(C,k10_xtuple_0(B)) & D = k1_funct_1(k2_funct_1(B),C) ) | ( ~ r2_hidden(C,k10_xtuple_0(B)) & D = k5_ordinal1 ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => ( ( r2_hidden(D,k10_xtuple_0(B)) & k1_funct_1(C,D) = k1_funct_1(k2_funct_1(B),D) ) | ( ~ r2_hidden(D,k10_xtuple_0(B)) & k1_funct_1(C,D) = k5_ordinal1 ) ) ) ) ) ) )).
fof(s2_funct_2__e10_106__modelc_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_funct_2(k9_modelc_2,u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k9_modelc_2,u1_struct_0(A))))) ) => ( ! [C] : ( r2_hidden(C,k9_modelc_2) => r2_hidden(k1_funct_1(k19_modelc_2(A,o_1_2_modelc_2(A),k10_funct_5(k4_ordinal1,k9_modelc_2,u1_struct_0(A),k9_funct_2(k9_modelc_2,u1_struct_0(A)),B,k3_finseq_1(k14_modelc_2(C)))),C),u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,k9_modelc_2) => k1_funct_1(C,D) = k1_funct_1(k19_modelc_2(A,o_1_2_modelc_2(A),k10_funct_5(k4_ordinal1,k9_modelc_2,u1_struct_0(A),k9_funct_2(k9_modelc_2,u1_struct_0(A)),B,k3_finseq_1(k14_modelc_2(D)))),D) ) ) ) ) )).
fof(s2_funct_2__e10_64__modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_funct_2(k12_modelc_1,u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k12_modelc_1,u1_struct_0(A))))) ) => ( ! [C] : ( r2_hidden(C,k12_modelc_1) => r2_hidden(k1_funct_1(k22_modelc_1(A,o_1_0_modelc_1(A),k10_funct_5(k4_ordinal1,k12_modelc_1,u1_struct_0(A),k9_funct_2(k12_modelc_1,u1_struct_0(A)),B,k3_finseq_1(k17_modelc_1(C)))),C),u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,k12_modelc_1) => k1_funct_1(C,D) = k1_funct_1(k22_modelc_1(A,o_1_0_modelc_1(A),k10_funct_5(k4_ordinal1,k12_modelc_1,u1_struct_0(A),k9_funct_2(k12_modelc_1,u1_struct_0(A)),B,k3_finseq_1(k17_modelc_1(D)))),D) ) ) ) ) )).
fof(s2_funct_2__e11_162__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ! [D] : ( r2_hidden(D,k4_ordinal1) => r2_hidden(k3_funct_2(A,A,k29_modelc_1(A,C,k2_modelc_1(D)),B),A) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => k1_funct_1(D,E) = k3_funct_2(A,A,k29_modelc_1(A,C,k2_modelc_1(E)),B) ) ) ) ) )).
fof(s2_funct_2__e13_72__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,C)))))) ) => ( ! [E] : ( r2_hidden(E,k4_ordinal1) => r2_hidden(k1_tarski(k1_funct_1(D,E)),k9_setfam_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,C))))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,C))))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k3_pcomps_1(k3_compl_sp(A,B,C))))))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => k1_funct_1(E,F) = k1_tarski(k1_funct_1(D,F)) ) ) ) ) )).
fof(s2_funct_2__e14_159__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) ) => ( ! [H] : ( r2_hidden(H,k4_ordinal1) => r2_hidden(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),G,k10_subset_1(H,k4_ordinal1)),k36_aofa_a00(A)),F),k8_afinsq_1(k4_numbers)) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k8_afinsq_1(k4_numbers)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(k4_numbers)))) & ! [I] : ( r2_hidden(I,k4_ordinal1) => k1_funct_1(H,I) = k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),G,k10_subset_1(I,k4_ordinal1)),k36_aofa_a00(A)),F) ) ) ) ) )).
fof(s2_funct_2__e16_30__simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_1(D) & v1_funct_2(D,B,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k9_setfam_1(A)))) & v1_relat_1(E) & v1_funct_1(E) & v1_funcop_1(E) ) => ( ! [F] : ( r2_hidden(F,A) => r2_hidden(k2_xboole_0(k1_funct_1(D,k1_funct_1(C,F)),k1_funct_1(k1_funct_1(E,k1_funct_1(C,F)),F)),k9_setfam_1(A)) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(A)))) & ! [G] : ( r2_hidden(G,A) => k1_funct_1(F,G) = k2_xboole_0(k1_funct_1(D,k1_funct_1(C,G)),k1_funct_1(k1_funct_1(E,k1_funct_1(C,G)),G)) ) ) ) ) )).
fof(s2_funct_2__e17_65__cat_6,axiom,( ! [A] : ! [B] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & m1_subset_1(B,k1_cat_6(A)) ) => ( ! [C] : ( r2_hidden(C,u1_struct_0(o_0_14_cat_6)) => r2_hidden(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(o_0_14_cat_6),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_0_14_cat_6),u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,u1_struct_0(o_0_14_cat_6)) => k1_funct_1(C,D) = B ) ) ) ) )).
fof(s2_funct_2__e21_5_1_2__topgen_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_pre_topc(A,k3_topmetr) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),a_0_2_topgen_6) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),a_0_2_topgen_6))) ) => ( ! [E] : ( r2_hidden(E,k2_relset_1(a_0_2_topgen_6,D)) => r2_hidden(k1_funct_1(C,o_3_0_topgen_6(A,D,E)),B) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_relset_1(a_0_2_topgen_6,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_relset_1(a_0_2_topgen_6,D),B))) & ! [F] : ( r2_hidden(F,k2_relset_1(a_0_2_topgen_6,D)) => k1_funct_1(E,F) = k1_funct_1(C,o_3_0_topgen_6(A,D,F)) ) ) ) ) )).
fof(s2_funct_2__e23_83_11_1_2__cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v1_cat_6(C) & v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) & v8_cat_6(D) & v9_cat_6(D) & v10_cat_6(D) & l1_cat_6(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(D),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(A)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ! [G] : ( r2_hidden(G,u1_struct_0(D)) => r2_hidden(k4_tarski(k1_funct_1(E,G),k1_funct_1(F,G)),u1_struct_0(C)) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(C)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(C)))) & ! [H] : ( r2_hidden(H,u1_struct_0(D)) => k1_funct_1(G,H) = k4_tarski(k1_funct_1(E,H),k1_funct_1(F,H)) ) ) ) ) )).
fof(s2_funct_2__e23_8__topgen_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topgen_3)))) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr)))) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_pre_topc(D,k3_topmetr) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) ) => ( ! [F] : ( r2_hidden(F,E) => r2_hidden(k1_funct_1(C,F),A) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,A))) & ! [G] : ( r2_hidden(G,E) => k1_funct_1(F,G) = k1_funct_1(C,G) ) ) ) ) )).
fof(s2_funct_2__e2_100_1_1__modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ( ! [E] : ( r2_hidden(E,k9_modelc_2) => r2_hidden(k16_modelc_2(A,B,D,D,C,k14_modelc_2(E)),u1_struct_0(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & ! [F] : ( r2_hidden(F,k9_modelc_2) => k1_funct_1(E,F) = k16_modelc_2(A,B,D,D,C,k14_modelc_2(F)) ) ) ) ) )).
fof(s2_funct_2__e2_12__waybel31,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( r2_hidden(B,u1_struct_0(A)) => r2_hidden(k1_setfam_1(a_2_2_waybel31(A,B)),u1_struct_0(k2_yellow_1(u1_struct_0(A)))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k2_yellow_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_yellow_1(u1_struct_0(A)))))) & ! [C] : ( r2_hidden(C,u1_struct_0(A)) => k1_funct_1(B,C) = k1_setfam_1(a_2_2_waybel31(A,C)) ) ) ) ) )).
fof(s2_funct_2__e2_20_1_1_2_1_1__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v7_ordinal1(C) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_finseq_1(E,u1_struct_0(B)) & m2_finseq_2(F,u1_struct_0(A),k4_finseq_2(C,u1_struct_0(A))) ) => ( ! [G] : ( r2_hidden(G,D) => r2_hidden(k1_funct_1(F,k3_tarski(k8_relset_1(k4_ordinal1,u1_struct_0(B),E,k1_tarski(G)))),u1_struct_0(A)) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,D,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(D,u1_struct_0(A)))) & ! [H] : ( r2_hidden(H,D) => k1_funct_1(G,H) = k1_funct_1(F,k3_tarski(k8_relset_1(k4_ordinal1,u1_struct_0(B),E,k1_tarski(H)))) ) ) ) ) )).
fof(s2_funct_2__e2_20_1_1_2_2__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v7_ordinal1(C) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_finseq_1(E,u1_struct_0(B)) & m2_vectsp_6(F,A,B,D) ) => ( ! [G] : ( r2_hidden(G,k2_finseq_1(C)) => r2_hidden(k1_funct_1(F,k1_funct_1(E,G)),u1_struct_0(A)) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(C),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(C),u1_struct_0(A)))) & ! [H] : ( r2_hidden(H,k2_finseq_1(C)) => k1_funct_1(G,H) = k1_funct_1(F,k1_funct_1(E,H)) ) ) ) ) )).
fof(s2_funct_2__e2_23_1_1__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v7_ordinal1(C) ) => ( ! [D] : ( r2_hidden(D,k9_setfam_1(u1_struct_0(A))) => r2_hidden(k3_tarski(a_4_0_nagata_2(A,B,C,D)),k9_setfam_1(u1_struct_0(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,k9_setfam_1(u1_struct_0(A))) => k1_funct_1(D,E) = k3_tarski(a_4_0_nagata_2(A,B,C,E)) ) ) ) ) )).
fof(s2_funct_2__e2_24_1__bhsp_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( r2_hidden(C,u1_struct_0(A)) => r2_hidden(k1_funct_1(u1_rlvect_1(A),k4_tarski(k1_funct_1(u1_bhsp_1(A),k4_tarski(B,C)),C)),u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,u1_struct_0(A)) => k1_funct_1(C,D) = k1_funct_1(u1_rlvect_1(A),k4_tarski(k1_funct_1(u1_bhsp_1(A),k4_tarski(B,D)),D)) ) ) ) ) )).
fof(s2_funct_2__e2_4_2_3__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)))) & m2_funct_2(E,B,C,k9_funct_2(B,C)) ) => ( ! [F] : ( r2_hidden(F,A) => r2_hidden(k1_funct_4(E,k17_funcop_1(B,F)),k8_relset_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C),D,k1_tarski(E))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,k8_relset_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C),D,k1_tarski(E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k8_relset_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C),D,k1_tarski(E))))) & ! [G] : ( r2_hidden(G,A) => k1_funct_1(F,G) = k1_funct_4(E,k17_funcop_1(B,G)) ) ) ) ) )).
fof(s2_funct_2__e2_4_2_7__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C)))) & v1_finset_1(E) ) => ( ! [F] : ( r2_hidden(F,k1_funct_2(B,A)) => r2_hidden(k8_relset_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C),D,k1_tarski(F)),E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_funct_2(B,A),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_funct_2(B,A),E))) & ! [G] : ( r2_hidden(G,k1_funct_2(B,A)) => k1_funct_1(F,G) = k8_relset_1(k9_funct_2(k1_nat_1(B,1),C),k9_funct_2(B,C),D,k1_tarski(G)) ) ) ) ) )).
fof(s2_funct_2__e2_50_1_2_1__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_card_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(A),A))) & ~ v1_xboole_0(C) ) => ( ! [D] : ( r2_hidden(D,C) => r2_hidden(k1_funct_4(k17_funcop_1(k1_funct_1(B,D),k5_numbers),k8_funcop_1(k4_ordinal1,k6_subset_1(A,k1_tarski(k1_funct_1(B,D))),1)),k1_card_fin(A,1,k5_numbers,1)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_card_fin(A,1,k5_numbers,1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_card_fin(A,1,k5_numbers,1)))) & ! [E] : ( r2_hidden(E,C) => k1_funct_1(D,E) = k1_funct_4(k17_funcop_1(k1_funct_1(B,E),k5_numbers),k8_funcop_1(k4_ordinal1,k6_subset_1(A,k1_tarski(k1_funct_1(B,E))),1)) ) ) ) ) )).
fof(s2_funct_2__e2_58_1_1__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ( ! [E] : ( r2_hidden(E,k12_modelc_1) => r2_hidden(k19_modelc_1(A,B,D,D,C,k17_modelc_1(E)),u1_struct_0(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & ! [F] : ( r2_hidden(F,k12_modelc_1) => k1_funct_1(E,F) = k19_modelc_1(A,B,D,D,C,k17_modelc_1(F)) ) ) ) ) )).
fof(s2_funct_2__e2_71_1_5_2_5__simplex1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ( ! [C] : ( r2_hidden(C,B) => r2_hidden(k4_tarski(k2_xtuple_0(C),k1_xtuple_0(C)),A) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) & ! [D] : ( r2_hidden(D,B) => k1_funct_1(C,D) = k4_tarski(k2_xtuple_0(D),k1_xtuple_0(D)) ) ) ) ) )).
fof(s2_funct_2__e31_159__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) ) => ( ! [H] : ( r2_hidden(H,k4_ordinal1) => r2_hidden(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),G,k10_subset_1(H,k4_ordinal1)),k36_aofa_a00(A)),F),k8_afinsq_1(k4_numbers)) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k8_afinsq_1(k4_numbers)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(k4_numbers)))) & ! [I] : ( r2_hidden(I,k4_ordinal1) => k1_funct_1(H,I) = k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),G,k10_subset_1(I,k4_ordinal1)),k36_aofa_a00(A)),F) ) ) ) ) )).
fof(s2_funct_2__e3_17__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_eqrel_1(C,u1_struct_0(A)) ) => ( ! [D] : ( r2_hidden(D,k7_group_3(A,B)) => r2_hidden(k8_relset_1(u1_struct_0(A),k7_group_3(A,B),k2_weddwitt(A,B),k1_tarski(D)),C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k7_group_3(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k7_group_3(A,B),C))) & ! [E] : ( r2_hidden(E,k7_group_3(A,B)) => k1_funct_1(D,E) = k8_relset_1(u1_struct_0(A),k7_group_3(A,B),k2_weddwitt(A,B),k1_tarski(E)) ) ) ) ) )).
fof(s2_funct_2__e3_1_4_1__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( ! [F] : ( r2_hidden(F,B) => r2_hidden(k1_binop_1(D,E,F),C) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [G] : ( r2_hidden(G,B) => k1_funct_1(F,G) = k1_binop_1(D,E,G) ) ) ) ) )).
fof(s2_funct_2__e3_25__random_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( ! [D] : ( r2_hidden(D,C) => r2_hidden(k12_supinf_2(B,k1_tarski(D)),k1_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) & ! [E] : ( r2_hidden(E,C) => k1_funct_1(D,E) = k12_supinf_2(B,k1_tarski(E)) ) ) ) ) )).
fof(s2_funct_2__e3_26__random_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) ) => ( ! [C] : ( r2_hidden(C,A) => r2_hidden(k12_supinf_2(B,k1_tarski(C)),k1_numbers) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k12_supinf_2(B,k1_tarski(D)) ) ) ) ) )).
fof(s2_funct_2__e3_2_4_1__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,A),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) ) => ( ! [F] : ( r2_hidden(F,B) => r2_hidden(k1_binop_1(D,F,E),C) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) & ! [G] : ( r2_hidden(G,B) => k1_funct_1(F,G) = k1_binop_1(D,G,E) ) ) ) ) )).
fof(s2_funct_2__e3_83_11_1_2__cat_7,axiom,( ! [A] : ! [B] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v1_cat_6(B) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( ! [C] : ( r2_hidden(C,u1_struct_0(B)) => r2_hidden(k1_xtuple_0(C),u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,u1_struct_0(B)) => k1_funct_1(C,D) = k1_xtuple_0(D) ) ) ) ) )).
fof(s2_funct_2__e4_138__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,A) & m1_modelc_1(D,A,B) ) => ( ! [E] : ( r2_hidden(E,k4_ordinal1) => r2_hidden(k49_modelc_1(A,B,C,D,E),A) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => k1_funct_1(E,F) = k49_modelc_1(A,B,C,D,F) ) ) ) ) )).
fof(s2_funct_2__e4_29__simplex0,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) ) => ( ! [C] : ( r2_hidden(C,A) => r2_hidden(k6_subset_1(A,k1_wellord1(k2_wellord1(B,A),C)),k9_setfam_1(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(A)))) & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k6_subset_1(A,k1_wellord1(k2_wellord1(B,A),D)) ) ) ) ) )).
fof(s2_funct_2__e4_45__poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ! [G] : ( r2_hidden(G,k4_poset_1(k4_poset_2(A),k4_poset_2(B))) => r2_hidden(k9_poset_2(A,B,C,D,E,F,G),k4_poset_1(k4_poset_2(A),k4_poset_2(B))) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_poset_1(k4_poset_2(A),k4_poset_2(B)),k4_poset_1(k4_poset_2(A),k4_poset_2(B))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_poset_1(k4_poset_2(A),k4_poset_2(B)),k4_poset_1(k4_poset_2(A),k4_poset_2(B))))) & ! [H] : ( r2_hidden(H,k4_poset_1(k4_poset_2(A),k4_poset_2(B))) => k1_funct_1(G,H) = k9_poset_2(A,B,C,D,E,F,H) ) ) ) ) )).
fof(s2_funct_2__e4_59_3__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_measure8(C,A,B) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( ! [E] : ( r2_hidden(E,k4_ordinal1) => r2_hidden(k8_subset_1(A,D,k1_funct_1(C,E)),k9_setfam_1(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [F] : ( r2_hidden(F,k4_ordinal1) => k1_funct_1(E,F) = k8_subset_1(A,D,k1_funct_1(C,F)) ) ) ) ) )).
fof(s2_funct_2__e4_69__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [D] : ( r2_hidden(D,A) => r2_hidden(a_4_11_card_fin(A,B,C,D),k1_zfmisc_1(k1_funct_2(A,k2_relset_1(B,C)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,k1_zfmisc_1(k1_funct_2(A,k2_relset_1(B,C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(k1_funct_2(A,k2_relset_1(B,C)))))) & ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = a_4_11_card_fin(A,B,C,E) ) ) ) ) )).
fof(s2_funct_2__e5_23_1_2__topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( ! [C] : ( r2_hidden(C,B) => r2_hidden(k1_tarski(C),k10_eqrel_1(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k10_eqrel_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k10_eqrel_1(A)))) & ! [D] : ( r2_hidden(D,B) => k1_funct_1(C,D) = k1_tarski(D) ) ) ) ) )).
fof(s2_funct_2__e5_28__topgen_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topgen_2(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ( r2_hidden(C,u1_struct_0(A)) => r2_hidden(k1_setfam_1(a_3_4_topgen_2(A,B,C)),u1_pre_topc(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_pre_topc(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A)))) & ! [D] : ( r2_hidden(D,u1_struct_0(A)) => k1_funct_1(C,D) = k1_setfam_1(a_3_4_topgen_2(A,B,D)) ) ) ) ) )).
fof(s2_funct_2__e5_39_1__nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( r2_hidden(D,k4_ordinal1) => r2_hidden(k3_tarski(a_4_0_nagata_1(A,B,C,D)),k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => k1_funct_1(D,E) = k3_tarski(a_4_0_nagata_1(A,B,C,E)) ) ) ) ) )).
fof(s2_funct_2__e6_19__matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ! [D] : ( r2_hidden(D,k9_matrix_1(B)) => r2_hidden(k16_funcop_1(u1_struct_0(A),k1_finseq_2(B),D,k1_finsop_1(u1_struct_0(A),k13_matrix_3(B,A,C),u2_algstr_0(A)),k4_struct_0(A)),u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_matrix_1(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(B),u1_struct_0(A)))) & ! [E] : ( r2_hidden(E,k9_matrix_1(B)) => k1_funct_1(D,E) = k16_funcop_1(u1_struct_0(A),k1_finseq_2(B),E,k1_finsop_1(u1_struct_0(A),k13_matrix_3(B,A,C),u2_algstr_0(A)),k4_struct_0(A)) ) ) ) ) )).
fof(s2_funct_2__e6_25__random_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( ! [D] : ( r2_hidden(D,C) => r2_hidden(k12_supinf_2(B,k1_tarski(D)),k1_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) & ! [E] : ( r2_hidden(E,C) => k1_funct_1(D,E) = k12_supinf_2(B,k1_tarski(E)) ) ) ) ) )).
fof(s2_funct_2__e6_26__random_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) ) => ( ! [C] : ( r2_hidden(C,A) => r2_hidden(k12_supinf_2(B,k1_tarski(C)),k1_numbers) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k12_supinf_2(B,k1_tarski(D)) ) ) ) ) )).
fof(s2_funct_2__e6_47_1_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_dickson(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_dickson(A,B)))) ) => ( ! [D] : ( r2_hidden(D,k4_ordinal1) => r2_hidden(o_4_1_dickson(A,B,C,D),u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => k1_funct_1(D,E) = o_4_1_dickson(A,B,C,E) ) ) ) ) )).
fof(s2_funct_2__e6_54__poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(G) & v1_funct_2(G,A,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ! [H] : ( r2_hidden(H,k2_zfmisc_1(k4_poset_1(k4_poset_2(A),k4_poset_2(B)),k4_poset_1(k4_poset_2(A),k4_poset_2(B)))) => r2_hidden(k11_poset_2(A,B,C,D,E,F,G,k1_xtuple_0(H),k2_xtuple_0(H)),k4_poset_1(k4_poset_2(A),k4_poset_2(B))) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(k4_poset_1(k4_poset_2(A),k4_poset_2(B)),k4_poset_1(k4_poset_2(A),k4_poset_2(B))),k4_poset_1(k4_poset_2(A),k4_poset_2(B))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_poset_1(k4_poset_2(A),k4_poset_2(B)),k4_poset_1(k4_poset_2(A),k4_poset_2(B))),k4_poset_1(k4_poset_2(A),k4_poset_2(B))))) & ! [I] : ( r2_hidden(I,k2_zfmisc_1(k4_poset_1(k4_poset_2(A),k4_poset_2(B)),k4_poset_1(k4_poset_2(A),k4_poset_2(B)))) => k1_funct_1(H,I) = k11_poset_2(A,B,C,D,E,F,G,k1_xtuple_0(I),k2_xtuple_0(I)) ) ) ) ) )).
fof(s2_funct_2__e7_106__modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ( r2_hidden(D,k4_ordinal1) => r2_hidden(k1_funct_1(C,k18_modelc_2(A,B,k1_modelc_2(D))),k9_funct_2(k9_modelc_2,u1_struct_0(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(k9_modelc_2,u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k9_modelc_2,u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => k1_funct_1(D,E) = k1_funct_1(C,k18_modelc_2(A,B,k1_modelc_2(E))) ) ) ) ) )).
fof(s2_funct_2__e7_25__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( ! [C] : ( r2_hidden(C,k4_ordinal1) => r2_hidden(a_2_0_nagata_2(B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & ! [D] : ( r2_hidden(D,k4_ordinal1) => k1_funct_1(C,D) = a_2_0_nagata_2(B,D) ) ) ) ) )).
fof(s2_funct_2__e7_42__waybel20,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => ( ! [C] : ( r2_hidden(C,u1_struct_0(A)) => r2_hidden(k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k2_waybel20(A,B),C),k8_eqrel_1(u1_struct_0(A),k2_waybel20(A,B))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k8_eqrel_1(u1_struct_0(A),k2_waybel20(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k8_eqrel_1(u1_struct_0(A),k2_waybel20(A,B))))) & ! [D] : ( r2_hidden(D,u1_struct_0(A)) => k1_funct_1(C,D) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k2_waybel20(A,B),D) ) ) ) ) )).
fof(s2_funct_2__e7_64__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ( r2_hidden(D,k4_ordinal1) => r2_hidden(k1_funct_1(C,k21_modelc_1(A,B,k2_modelc_1(D))),k9_funct_2(k12_modelc_1,u1_struct_0(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(k12_modelc_1,u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k12_modelc_1,u1_struct_0(A))))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => k1_funct_1(D,E) = k1_funct_1(C,k21_modelc_1(A,B,k2_modelc_1(E))) ) ) ) ) )).
fof(s2_funct_2__e7_65__card_fin,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => ( ! [C] : ( r2_hidden(C,B) => r2_hidden(a_3_2_card_fin(A,B,C),k1_zfmisc_1(k1_funct_2(A,B))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k1_zfmisc_1(k1_funct_2(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_zfmisc_1(k1_funct_2(A,B))))) & ! [D] : ( r2_hidden(D,B) => k1_funct_1(C,D) = a_3_2_card_fin(A,B,D) ) ) ) ) )).
fof(s2_funct_2__e7_83_11_1_2__cat_7,axiom,( ! [A] : ! [B] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & v1_cat_6(B) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( ! [C] : ( r2_hidden(C,u1_struct_0(B)) => r2_hidden(k2_xtuple_0(C),u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [D] : ( r2_hidden(D,u1_struct_0(B)) => k1_funct_1(C,D) = k2_xtuple_0(D) ) ) ) ) )).
fof(s2_funct_2__e8_162__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & m1_subset_1(E,A) & v1_relat_1(F) & v1_funct_1(F) ) => ( ! [G] : ( r2_hidden(G,A) => r2_hidden(k3_modelc_1(F,k9_subset_1(A,a_3_2_modelc_1(A,B,G),k51_modelc_1(A,B,C,D)),E),A) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,A,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [H] : ( r2_hidden(H,A) => k1_funct_1(G,H) = k3_modelc_1(F,k9_subset_1(A,a_3_2_modelc_1(A,B,H),k51_modelc_1(A,B,C,D)),E) ) ) ) ) )).
fof(s2_funct_2__e8_3__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v2_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v2_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k9_funct_2(k4_card_3(A),k9_funct_2(k4_card_3(B),C)),k9_funct_2(k2_zfmisc_1(k4_card_3(B),k4_card_3(A)),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_card_3(A),k9_funct_2(k4_card_3(B),C)),k9_funct_2(k2_zfmisc_1(k4_card_3(B),k4_card_3(A)),C)))) & v1_funct_1(E) & v1_funct_2(E,k4_card_3(k7_finseq_1(B,A)),k2_zfmisc_1(k4_card_3(B),k4_card_3(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k7_finseq_1(B,A)),k2_zfmisc_1(k4_card_3(B),k4_card_3(A))))) ) => ( ! [F] : ( r2_hidden(F,k9_funct_2(k4_card_3(A),k9_funct_2(k4_card_3(B),C))) => r2_hidden(k3_relat_1(E,k1_funct_1(D,F)),k9_funct_2(k4_card_3(k7_finseq_1(B,A)),C)) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_funct_2(k4_card_3(A),k9_funct_2(k4_card_3(B),C)),k9_funct_2(k4_card_3(k7_finseq_1(B,A)),C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_card_3(A),k9_funct_2(k4_card_3(B),C)),k9_funct_2(k4_card_3(k7_finseq_1(B,A)),C)))) & ! [G] : ( r2_hidden(G,k9_funct_2(k4_card_3(A),k9_funct_2(k4_card_3(B),C))) => k1_funct_1(F,G) = k3_relat_1(E,k1_funct_1(D,G)) ) ) ) ) )).
fof(s2_funct_2__e8_6__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k9_funct_2(A,k9_funct_2(k4_card_3(B),C)),k9_funct_2(k2_zfmisc_1(k4_card_3(B),A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k9_funct_2(k4_card_3(B),C)),k9_funct_2(k2_zfmisc_1(k4_card_3(B),A),C)))) & v1_funct_1(E) & v1_funct_2(E,k4_card_3(k7_finseq_1(B,k9_finseq_1(A))),k2_zfmisc_1(k4_card_3(B),A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k7_finseq_1(B,k9_finseq_1(A))),k2_zfmisc_1(k4_card_3(B),A)))) ) => ( ! [F] : ( r2_hidden(F,k9_funct_2(A,k9_funct_2(k4_card_3(B),C))) => r2_hidden(k3_relat_1(E,k1_funct_1(D,F)),k9_funct_2(k4_card_3(k7_finseq_1(B,k9_finseq_1(A))),C)) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_funct_2(A,k9_funct_2(k4_card_3(B),C)),k9_funct_2(k4_card_3(k7_finseq_1(B,k9_finseq_1(A))),C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k9_funct_2(k4_card_3(B),C)),k9_funct_2(k4_card_3(k7_finseq_1(B,k9_finseq_1(A))),C)))) & ! [G] : ( r2_hidden(G,k9_funct_2(A,k9_funct_2(k4_card_3(B),C))) => k1_funct_1(F,G) = k3_relat_1(E,k1_funct_1(D,G)) ) ) ) ) )).
fof(s2_funct_2__e9_76__ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) & m1_subset_1(D,u1_struct_0(k9_int_3(A))) ) => ( ! [G] : ( r2_hidden(G,E) => r2_hidden(k6_eqrel_1(k6_ec_pf_1(A,B,C),k6_ec_pf_1(A,B,C),k8_ec_pf_1(A,B,C),k3_xtuple_0(D,G,1)),F) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,E,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(E,F))) & ! [H] : ( r2_hidden(H,E) => k1_funct_1(G,H) = k6_eqrel_1(k6_ec_pf_1(A,B,C),k6_ec_pf_1(A,B,C),k8_ec_pf_1(A,B,C),k3_xtuple_0(D,H,1)) ) ) ) ) )).
fof(s2_funct_3__e1_12__random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m2_prob_1(C,A,k1_random_1(A)) & m2_prob_1(D,B,k1_random_1(B)) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k2_zfmisc_1(A,B) & ! [F] : ! [G] : ( ( r2_hidden(F,A) & r2_hidden(G,B) ) => k1_binop_1(E,F,G) = k1_extreal1(k12_supinf_2(C,k1_tarski(F)),k12_supinf_2(D,k1_tarski(G))) ) ) ) )).
fof(s2_funct_3__e2_33__matrix_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_zfmisc_1(B,A) & ! [D] : ! [E] : ( ( r2_hidden(D,B) & r2_hidden(E,A) ) => k1_binop_1(C,D,E) = k4_tarski(E,D) ) ) ) )).
fof(s2_funct_7__e15_45__hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v3_ordinal1(B) & ~ v1_finset_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(B,A)))) ) => ( ( v1_finset_1(C) & ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ( k3_hilbasis(B,D,A) = k3_hilbasis(B,E,A) => D = E ) ) ) ) => v1_finset_1(a_3_3_hilbasis(A,B,C)) ) ) )).
fof(s2_group_4__e11_48_1__group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( r1_tarski(D,k1_group_3(A)) & ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ( r2_tarski(E,D) <=> ( r1_tarski(k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B)),k8_group_2(A,E)) & ~ r1_struct_0(E,B) ) ) ) ) ) )).
fof(s2_hallmar1__e5_47_1_2__hallmar1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ( ? [D] : ( m1_subset_1(D,k4_ordinal1) & ~ r1_xxreal_0(D,1) & ? [E] : ( m2_hallmar1(E,A,B) & v1_hallmar1(E,A) & k4_card_1(k1_funct_1(E,C)) = D ) ) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & ? [F] : ( m2_hallmar1(F,A,B) & v1_hallmar1(F,A) & k4_card_1(k1_funct_1(F,C)) = k1_nat_1(D,1) ) ) => ? [G] : ( m2_hallmar1(G,A,B) & v1_hallmar1(G,A) & k4_card_1(k1_funct_1(G,C)) = D ) ) ) ) => ? [H] : ( m2_hallmar1(H,A,B) & v1_hallmar1(H,A) & k4_card_1(k1_funct_1(H,C)) = 1 ) ) ) )).
fof(s2_hilbert2__e4_15__ltlaxio3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) ) => ( ( ( r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k2_hilbert1)) => ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k2_hilbert1)) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k2_hilbert1)) ) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_hilbert2(C))) => ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_hilbert2(C))) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_hilbert2(C))) ) ) ) & ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( ( ( r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C)) => ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C)) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C)) ) ) & ( r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,D)) => ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,D)) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,D)) ) ) ) => ( ( r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_hilbert1(C,D))) => ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_hilbert1(C,D))) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_hilbert1(C,D))) ) ) & ( r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k3_hilbert1(C,D))) => ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k3_hilbert1(C,D))) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k3_hilbert1(C,D))) ) ) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C)) => ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C)) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C)) ) ) ) ) ) )).
fof(s2_hilbert2__e4_16__ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( ( ( r2_tarski(k2_hilbert1,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k2_hilbert1),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(k1_hilbert2(B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_hilbert2(B)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) ) & ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( ( ( r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) & ( r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) ) => ( ( r2_tarski(k4_hilbert1(B,C),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_hilbert1(B,C)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) & ( r2_tarski(k3_hilbert1(B,C),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k3_hilbert1(B,C)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) ) ) ) )).
fof(s2_hilbert2__e4_17__hilbert2,axiom,( ( ~ ( ~ v1_hilbert2(k2_hilbert1) & ~ v2_hilbert2(k2_hilbert1) & ~ v3_hilbert2(k2_hilbert1) & k2_hilbert1 != k2_hilbert1 ) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( ~ v1_hilbert2(k1_hilbert2(A)) & ~ v2_hilbert2(k1_hilbert2(A)) & ~ v3_hilbert2(k1_hilbert2(A)) & k1_hilbert2(A) != k2_hilbert1 ) ) & ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( ( ~ ( ~ v1_hilbert2(A) & ~ v2_hilbert2(A) & ~ v3_hilbert2(A) & A != k2_hilbert1 ) & ~ ( ~ v1_hilbert2(B) & ~ v2_hilbert2(B) & ~ v3_hilbert2(B) & B != k2_hilbert1 ) ) => ( ~ ( ~ v1_hilbert2(k4_hilbert1(A,B)) & ~ v2_hilbert2(k4_hilbert1(A,B)) & ~ v3_hilbert2(k4_hilbert1(A,B)) & k4_hilbert1(A,B) != k2_hilbert1 ) & ~ ( ~ v1_hilbert2(k3_hilbert1(A,B)) & ~ v2_hilbert2(k3_hilbert1(A,B)) & ~ v3_hilbert2(k3_hilbert1(A,B)) & k3_hilbert1(A,B) != k2_hilbert1 ) ) ) ) ) ) => ! [A] : ( m1_subset_1(A,k1_hilbert1) => ~ ( ~ v1_hilbert2(A) & ~ v2_hilbert2(A) & ~ v3_hilbert2(A) & A != k2_hilbert1 ) ) )).
fof(s2_hilbert2__e4_47__hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( ( k1_funct_1(k9_hilbert4(A),k2_hilbert1) = k1_xboole_0 <=> k32_fomodel0(k1_funct_1(k4_hilbert3(k7_hilbert4(A),k8_hilbert4(A)),k2_hilbert1)) = k1_xboole_0 ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( k1_funct_1(k9_hilbert4(A),k1_hilbert2(B)) = k1_xboole_0 <=> k32_fomodel0(k1_funct_1(k4_hilbert3(k7_hilbert4(A),k8_hilbert4(A)),k1_hilbert2(B))) = k1_xboole_0 ) ) & ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( ( ( k1_funct_1(k9_hilbert4(A),B) = k1_xboole_0 <=> k32_fomodel0(k1_funct_1(k4_hilbert3(k7_hilbert4(A),k8_hilbert4(A)),B)) = k1_xboole_0 ) & ( k1_funct_1(k9_hilbert4(A),C) = k1_xboole_0 <=> k32_fomodel0(k1_funct_1(k4_hilbert3(k7_hilbert4(A),k8_hilbert4(A)),C)) = k1_xboole_0 ) ) => ( ( k1_funct_1(k9_hilbert4(A),k4_hilbert1(B,C)) = k1_xboole_0 <=> k32_fomodel0(k1_funct_1(k4_hilbert3(k7_hilbert4(A),k8_hilbert4(A)),k4_hilbert1(B,C))) = k1_xboole_0 ) & ( k1_funct_1(k9_hilbert4(A),k3_hilbert1(B,C)) = k1_xboole_0 <=> k32_fomodel0(k1_funct_1(k4_hilbert3(k7_hilbert4(A),k8_hilbert4(A)),k3_hilbert1(B,C))) = k1_xboole_0 ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( k1_funct_1(k9_hilbert4(A),B) = k1_xboole_0 <=> k32_fomodel0(k1_funct_1(k4_hilbert3(k7_hilbert4(A),k8_hilbert4(A)),B)) = k1_xboole_0 ) ) ) ) )).
fof(s2_hilbert2__e5_13__ltlaxio3,axiom,( ( r2_tarski(k2_hilbert1,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k2_hilbert1)) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => r2_tarski(k1_hilbert2(A),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_hilbert2(A))) ) & ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) & r2_tarski(B,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B)) ) => ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_hilbert1(A,B))) & r2_tarski(k3_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k3_hilbert1(A,B))) ) ) ) ) ) => ! [A] : ( m1_subset_1(A,k1_hilbert1) => r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) ) )).
fof(s2_hilbert2__e5_19__ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( ( ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k2_hilbert1)) & A != k2_hilbert1 & r1_xxreal_0(k3_finseq_1(k2_hilbert1),k3_finseq_1(A)) ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_hilbert2(B))) & A != k1_hilbert2(B) & r1_xxreal_0(k3_finseq_1(k1_hilbert2(B)),k3_finseq_1(A)) ) ) & ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( ( ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B)) & A != B & r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(A)) ) & ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,C)) & A != C & r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(A)) ) ) => ( ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_hilbert1(B,C))) & A != k4_hilbert1(B,C) & r1_xxreal_0(k3_finseq_1(k4_hilbert1(B,C)),k3_finseq_1(A)) ) & ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k3_hilbert1(B,C))) & A != k3_hilbert1(B,C) & r1_xxreal_0(k3_finseq_1(k3_hilbert1(B,C)),k3_finseq_1(A)) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B)) & A != B & r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(A)) ) ) ) ) )).
fof(s2_hilbert2__e5_38__ltlaxio3,axiom,( ( r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k2_hilbert1),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k2_hilbert1)) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_hilbert2(A)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k1_hilbert2(A))) ) & ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( ( r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,A)) & r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,B)) ) => ( r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_hilbert1(A,B)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k4_hilbert1(A,B))) & r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k3_hilbert1(A,B)),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k3_hilbert1(A,B))) ) ) ) ) ) => ! [A] : ( m1_subset_1(A,k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,A)) ) )).
fof(s2_hilbert2__e5_40__ltlaxio3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) & m1_subset_1(C,k1_hilbert1) ) => ( ( ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k2_hilbert1)) => r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k2_hilbert1)) ) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k1_hilbert2(D))) => r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k1_hilbert2(D))) ) ) & ! [D] : ( m1_subset_1(D,k1_hilbert1) => ! [E] : ( m1_subset_1(E,k1_hilbert1) => ( ( ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,D)) => r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,D)) ) & ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,E)) => r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,E)) ) ) => ( ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k4_hilbert1(D,E))) => r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k4_hilbert1(D,E))) ) & ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k3_hilbert1(D,E))) => r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k3_hilbert1(D,E))) ) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,D)) => r2_tarski(C,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,D)) ) ) ) ) )).
fof(s2_hilbert2__e6_25__ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ( ( ( r2_tarski(k2_hilbert1,A) => r2_tarski(k2_hilbert1,k5_ltlaxio3(A)) ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(k1_hilbert2(B),A) => r2_tarski(k1_hilbert2(B),k5_ltlaxio3(A)) ) ) & ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( ( ( r2_tarski(B,A) => r2_tarski(B,k5_ltlaxio3(A)) ) & ( r2_tarski(C,A) => r2_tarski(C,k5_ltlaxio3(A)) ) ) => ( ( r2_tarski(k4_hilbert1(B,C),A) => r2_tarski(k4_hilbert1(B,C),k5_ltlaxio3(A)) ) & ( r2_tarski(k3_hilbert1(B,C),A) => r2_tarski(k3_hilbert1(B,C),k5_ltlaxio3(A)) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( r2_tarski(B,A) => r2_tarski(B,k5_ltlaxio3(A)) ) ) ) ) )).
fof(s2_hilbert2__e6_51__ltlaxio1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) & v1_funct_1(C) & v1_funct_2(C,k1_hilbert1,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( ( k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k2_hilbert1) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(B),k1_domain_1(k4_ordinal1,k1_hilbert1,A,k2_hilbert1)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k1_hilbert2(D)) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(B),k1_domain_1(k4_ordinal1,k1_hilbert1,A,k1_hilbert2(D))) ) & ! [D] : ( m1_subset_1(D,k1_hilbert1) => ! [E] : ( m1_subset_1(E,k1_hilbert1) => ( ( k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),D) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(B),k1_domain_1(k4_ordinal1,k1_hilbert1,A,D)) & k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),E) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(B),k1_domain_1(k4_ordinal1,k1_hilbert1,A,E)) ) => ( k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k4_hilbert1(D,E)) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(B),k1_domain_1(k4_ordinal1,k1_hilbert1,A,k4_hilbert1(D,E))) & k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k3_hilbert1(D,E)) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(B),k1_domain_1(k4_ordinal1,k1_hilbert1,A,k3_hilbert1(D,E))) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),D) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(B),k1_domain_1(k4_ordinal1,k1_hilbert1,A,D)) ) ) ) )).
fof(s2_int_1__e3_14_1_1__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) ) => ( ( r2_tarski(k2_bcialg_6(A,B,k5_numbers),k5_bcialg_1(A)) & ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(k5_numbers,C) & r2_tarski(k2_bcialg_6(A,B,C),k5_bcialg_1(A)) ) => r2_tarski(k2_bcialg_6(A,B,k2_xcmplx_0(C,1)),k5_bcialg_1(A)) ) ) ) => ! [C] : ( v1_int_1(C) => ( r1_xxreal_0(k5_numbers,C) => r2_tarski(k2_bcialg_6(A,B,C),k5_bcialg_1(A)) ) ) ) ) )).
fof(s2_jct_misc__e15_15__jct_misc,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ? [E] : ( m1_subset_1(E,k1_numbers) & r2_hidden(D,k8_nat_1(k1_zfmisc_1(k1_numbers),A,C)) & r2_hidden(E,k8_nat_1(k1_zfmisc_1(k1_numbers),B,C)) & k1_jct_misc(k8_nat_1(k1_zfmisc_1(k1_numbers),A,C),k8_nat_1(k1_zfmisc_1(k1_numbers),B,C)) = k9_complex1(k6_xcmplx_0(D,E)) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,E),k8_nat_1(k1_zfmisc_1(k1_numbers),A,E)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k8_nat_1(k1_zfmisc_1(k1_numbers),B,E)) & k1_jct_misc(k8_nat_1(k1_zfmisc_1(k1_numbers),A,E),k8_nat_1(k1_zfmisc_1(k1_numbers),B,E)) = k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,C,E),k3_funct_2(k4_ordinal1,k1_numbers,D,E))) ) ) ) ) ) ) )).
fof(s2_jgraph_2__e14_34__jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( B = a_1_18_jgraph_4(A) => k3_subset_1(u1_struct_0(k15_euclid(2)),B) = a_1_19_jgraph_4(A) ) ) )).
fof(s2_jgraph_2__e14_35__jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( B = a_1_21_jgraph_4(A) => k3_subset_1(u1_struct_0(k15_euclid(2)),B) = a_1_22_jgraph_4(A) ) ) )).
fof(s2_jgraph_2__e14_37__jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( B = a_1_23_jgraph_4(A) => k3_subset_1(u1_struct_0(k15_euclid(2)),B) = a_1_24_jgraph_4(A) ) ) )).
fof(s2_jgraph_2__e14_38__jgraph_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( B = a_1_26_jgraph_4(A) => k3_subset_1(u1_struct_0(k15_euclid(2)),B) = a_1_27_jgraph_4(A) ) ) )).
fof(s2_jgraph_3__e11_26__jgraph_3,axiom,( a_0_0_jgraph_3 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_17_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s2_jgraph_3__e16_27__jgraph_3,axiom,( a_0_1_jgraph_3 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_20_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s2_jgraph_3__e17_51__jgraph_3,axiom,( a_0_0_jgraph_3 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_17_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s2_jgraph_3__e17_52__jgraph_3,axiom,( a_0_1_jgraph_3 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_20_jgraph_3,k8_struct_0(k15_euclid(2))) )).
fof(s2_jgraph_3__e2_42__jgraph_4,axiom,( a_0_0_jgraph_4 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_5_jgraph_4,k8_struct_0(k15_euclid(2))) )).
fof(s2_jgraph_3__e2_44__jgraph_4,axiom,( a_0_1_jgraph_4 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_6_jgraph_4,k8_struct_0(k15_euclid(2))) )).
fof(s2_jgraph_3__e2_79__jgraph_4,axiom,( a_0_2_jgraph_4 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_7_jgraph_4,k8_struct_0(k15_euclid(2))) )).
fof(s2_jgraph_3__e2_80__jgraph_4,axiom,( a_0_3_jgraph_4 = k9_subset_1(u1_struct_0(k15_euclid(2)),a_0_8_jgraph_4,k8_struct_0(k15_euclid(2))) )).
fof(s2_lattice3__e2_58_1_1_1_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_waybel21(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m1_subset_1(E,u1_struct_0(D)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_3_6_waybel21(A,D,E)) = a_5_10_waybel21(A,B,C,D,E) ) ) )).
fof(s2_lattice3__e6_91_2__lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),A))) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( r1_tarski(k1_zfmisc_1(A),k9_xtuple_0(B)) => k7_relat_1(B,a_3_22_lattice3(A,C,D)) = a_4_3_lattice3(A,B,C,D) ) ) )).
fof(s2_lattice3__e8_58_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_waybel21(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_9_waybel21(A,D)) = a_4_7_waybel21(A,B,C,D) ) ) )).
fof(s2_matrix15__e10_87__matrix15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_vectsp_4(C,B,k6_prvect_1(B,A)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ( ( ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ( E = F => ( v2_funct_1(F) & v1_vectsp_7(k9_matrix13(B,k4_card_1(D),A,F),B,k6_prvect_1(B,A)) & k1_vectsp_7(B,k6_prvect_1(B,A),k9_matrix13(B,k4_card_1(D),A,F)) = k2_vectsp_4(B,C) ) ) ) ) & ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ! [I] : ( ( v1_matrix_0(I) & v2_matrix_0(I,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(I,k3_finseq_2(u1_struct_0(B))) ) => ( ! [J] : ( ( v1_matrix_0(J) & v2_matrix_0(J,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(J,k3_finseq_2(u1_struct_0(B))) ) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(B))) ) => ( H = J => ( v2_funct_1(J) & v1_vectsp_7(k9_matrix13(B,k4_card_1(D),A,J),B,k6_prvect_1(B,A)) & k1_vectsp_7(B,k6_prvect_1(B,A),k9_matrix13(B,k4_card_1(D),A,J)) = k2_vectsp_4(B,C) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(B)) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(H)) => ( ( M = N & L = k4_algstr_0(B,k1_group_1(B)) ) | ! [O] : ( ( v1_matrix_0(O) & v2_matrix_0(O,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(O,k3_finseq_2(u1_struct_0(B))) ) => ! [P] : ( ( v1_matrix_0(P) & v2_matrix_0(P,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(P,k3_finseq_2(u1_struct_0(B))) ) => ( k3_matrix11(M,k4_card_1(D),A,u1_struct_0(B),H,k4_fvsum_1(k1_matrix_0(H),B,k7_matrix_0(u1_struct_0(B),H,M),k10_fvsum_1(k1_matrix_0(H),B,k7_matrix_0(u1_struct_0(B),H,N),L))) = O => ( v2_funct_1(O) & v1_vectsp_7(k9_matrix13(B,k4_card_1(D),A,O),B,k6_prvect_1(B,A)) & k1_vectsp_7(B,k6_prvect_1(B,A),k9_matrix13(B,k4_card_1(D),A,O)) = k2_vectsp_4(B,C) ) ) ) ) ) ) ) ) ) ) ) ) ) => ? [H] : ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) & ? [I] : ( v1_matrix_0(I) & v2_matrix_0(I,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(I,k3_finseq_2(u1_struct_0(B))) & ? [L] : ( v1_finset_1(L) & v1_setfam_1(L) & m1_subset_1(L,k1_zfmisc_1(k4_ordinal1)) & r1_tarski(L,k2_finseq_1(A)) & k8_matrix13(B,E) = k8_matrix13(B,H) & k8_matrix13(B,E) = k4_card_1(L) & ! [Q] : ( ( v1_matrix_0(Q) & v2_matrix_0(Q,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(Q,k3_finseq_2(u1_struct_0(B))) ) => ! [R] : ( ( v1_matrix_0(R) & v2_matrix_0(R,u1_struct_0(B),k4_card_1(D),A) & m2_finseq_1(R,k3_finseq_2(u1_struct_0(B))) ) => ( H = Q => ( v2_funct_1(Q) & v1_vectsp_7(k9_matrix13(B,k4_card_1(D),A,Q),B,k6_prvect_1(B,A)) & k1_vectsp_7(B,k6_prvect_1(B,A),k9_matrix13(B,k4_card_1(D),A,Q)) = k2_vectsp_4(B,C) ) ) ) ) & k6_matrix13(u1_struct_0(B),H,k2_finseq_1(k4_card_1(L)),L) = k3_matrix_1(B,k4_card_1(L)) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(H)) => ( r1_xxreal_0(M,k4_card_1(L)) | k7_matrix_0(u1_struct_0(B),H,M) = k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B)) ) ) ) & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ( ( r2_tarski(M,k2_finseq_1(k4_card_1(L))) & r2_tarski(N,k2_finseq_1(k1_matrix_0(H))) ) => ( r1_xxreal_0(k1_funct_1(k5_matrix13(L),M),N) | k3_matrix_0(u1_struct_0(B),H,M,N) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) )).
fof(s2_matrix15__e5_85_1_2__matrix15,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( D = C => k7_matrix15(A,C) = k7_matrix15(A,D) ) ) & ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ( ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(A))) ) => ( G = E => k7_matrix15(A,C) = k7_matrix15(A,G) ) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(E)) => ( ( I = J & H = k4_algstr_0(A,k1_group_1(A)) ) | ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ( K = k3_matrix11(I,k3_finseq_1(B),k1_matrix_0(B),u1_struct_0(A),E,k4_fvsum_1(k1_matrix_0(E),A,k7_matrix_0(u1_struct_0(A),E,I),k10_fvsum_1(k1_matrix_0(E),A,k7_matrix_0(u1_struct_0(A),E,J),H))) => k7_matrix15(A,C) = k7_matrix15(A,K) ) ) ) ) ) ) ) ) ) ) ) => ? [E] : ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) & ? [F] : ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) & ? [H] : ( v1_finset_1(H) & v1_setfam_1(H) & m1_subset_1(H,k1_zfmisc_1(k4_ordinal1)) & r1_tarski(H,k2_finseq_1(k1_matrix_0(B))) & k8_matrix13(A,C) = k8_matrix13(A,E) & k8_matrix13(A,C) = k4_card_1(H) & ! [L] : ( ( v1_matrix_0(L) & v2_matrix_0(L,u1_struct_0(A),k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(L,k3_finseq_2(u1_struct_0(A))) ) => ( L = E => k7_matrix15(A,C) = k7_matrix15(A,L) ) ) & k6_matrix13(u1_struct_0(A),E,k2_finseq_1(k4_card_1(H)),H) = k3_matrix_1(A,k4_card_1(H)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(E)) => ( r1_xxreal_0(I,k4_card_1(H)) | k7_matrix_0(u1_struct_0(A),E,I) = k5_finseq_2(u1_struct_0(A),k1_matrix_0(B),k4_struct_0(A)) ) ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(I,k2_finseq_1(k4_card_1(H))) & r2_tarski(J,k2_finseq_1(k1_matrix_0(E))) ) => ( r1_xxreal_0(k1_funct_1(k5_matrix13(H),I),J) | k3_matrix_0(u1_struct_0(A),E,I,J) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(s2_matrix_0__e18_11__matrix15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) & v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(E) & v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(F) & v1_setfam_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) & v1_matrix_0(G) & v2_matrix_0(G,A,k4_card_1(C),k4_card_1(D)) & m2_finseq_1(G,k3_finseq_2(A)) & v1_matrix_0(H) & v2_matrix_0(H,A,k4_card_1(E),k4_card_1(F)) & m2_finseq_1(H,k3_finseq_2(A)) ) => ( ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ~ ( r2_hidden(k4_tarski(I,J),k2_zfmisc_1(k2_finseq_1(k3_finseq_1(B)),k2_finseq_1(k1_matrix_0(B)))) & ! [K] : ( m1_subset_1(K,A) => ~ ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ( ( I = L & J = M ) => ( ( r2_hidden(k4_tarski(L,M),k2_zfmisc_1(C,D)) => ( ? [N] : ( v7_ordinal1(N) & ? [O] : ( v7_ordinal1(O) & r2_tarski(N,k4_finseq_1(k5_matrix13(C))) & r2_tarski(O,k4_finseq_1(k5_matrix13(D))) & k1_funct_1(k5_matrix13(C),N) = L & k1_funct_1(k5_matrix13(D),O) = M ) ) & ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ( ( r2_tarski(N,k4_finseq_1(k5_matrix13(C))) & r2_tarski(O,k4_finseq_1(k5_matrix13(D))) & k1_funct_1(k5_matrix13(C),N) = L & k1_funct_1(k5_matrix13(D),O) = M ) => K = k3_matrix_0(A,G,N,O) ) ) ) ) ) & ( r2_hidden(k4_tarski(L,M),k2_zfmisc_1(E,F)) => ( ? [N] : ( v7_ordinal1(N) & ? [O] : ( v7_ordinal1(O) & r2_tarski(N,k4_finseq_1(k5_matrix13(E))) & r2_tarski(O,k4_finseq_1(k5_matrix13(F))) & k1_funct_1(k5_matrix13(E),N) = L & k1_funct_1(k5_matrix13(F),O) = M ) ) & ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ( ( r2_tarski(N,k4_finseq_1(k5_matrix13(E))) & r2_tarski(O,k4_finseq_1(k5_matrix13(F))) & k1_funct_1(k5_matrix13(E),N) = L & k1_funct_1(k5_matrix13(F),O) = M ) => K = k3_matrix_0(A,H,N,O) ) ) ) ) ) & ( ~ r2_hidden(k4_tarski(L,M),k2_xboole_0(k2_zfmisc_1(C,D),k2_zfmisc_1(E,F))) => K = k3_matrix_0(A,B,L,M) ) ) ) ) ) ) ) ) ) => ? [I] : ( v1_matrix_0(I) & v2_matrix_0(I,A,k3_finseq_1(B),k1_matrix_0(B)) & m2_finseq_1(I,k3_finseq_2(A)) & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( r2_hidden(k4_tarski(J,K),k2_matrix_0(I)) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( J = P & K = Q ) => ( ( r2_hidden(k4_tarski(P,Q),k2_zfmisc_1(C,D)) => ( ? [R] : ( v7_ordinal1(R) & ? [S] : ( v7_ordinal1(S) & r2_tarski(R,k4_finseq_1(k5_matrix13(C))) & r2_tarski(S,k4_finseq_1(k5_matrix13(D))) & k1_funct_1(k5_matrix13(C),R) = P & k1_funct_1(k5_matrix13(D),S) = Q ) ) & ! [R] : ( v7_ordinal1(R) => ! [S] : ( v7_ordinal1(S) => ( ( r2_tarski(R,k4_finseq_1(k5_matrix13(C))) & r2_tarski(S,k4_finseq_1(k5_matrix13(D))) & k1_funct_1(k5_matrix13(C),R) = P & k1_funct_1(k5_matrix13(D),S) = Q ) => k3_matrix_0(A,I,J,K) = k3_matrix_0(A,G,R,S) ) ) ) ) ) & ( r2_hidden(k4_tarski(P,Q),k2_zfmisc_1(E,F)) => ( ? [R] : ( v7_ordinal1(R) & ? [S] : ( v7_ordinal1(S) & r2_tarski(R,k4_finseq_1(k5_matrix13(E))) & r2_tarski(S,k4_finseq_1(k5_matrix13(F))) & k1_funct_1(k5_matrix13(E),R) = P & k1_funct_1(k5_matrix13(F),S) = Q ) ) & ! [R] : ( v7_ordinal1(R) => ! [S] : ( v7_ordinal1(S) => ( ( r2_tarski(R,k4_finseq_1(k5_matrix13(E))) & r2_tarski(S,k4_finseq_1(k5_matrix13(F))) & k1_funct_1(k5_matrix13(E),R) = P & k1_funct_1(k5_matrix13(F),S) = Q ) => k3_matrix_0(A,I,J,K) = k3_matrix_0(A,H,R,S) ) ) ) ) ) & ( ~ r2_hidden(k4_tarski(P,Q),k2_xboole_0(k2_zfmisc_1(C,D),k2_zfmisc_1(E,F))) => k3_matrix_0(A,I,J,K) = k3_matrix_0(A,B,P,Q) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_matrix_0__e20_11__gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_hidden(k4_tarski(B,C),k2_zfmisc_1(k2_finseq_1(k1_nat_1(k3_finseq_1(k2_goboard2(A)),1)),k2_finseq_1(k1_nat_1(k1_matrix_0(k2_goboard2(A)),1)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_euclid(2))) => D != k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),k7_nat_d(B,1),k7_nat_d(C,1))) ) ) ) ) => ? [B] : ( v1_matrix_0(B) & v2_matrix_0(B,k1_zfmisc_1(k1_euclid(2)),k1_nat_1(k3_finseq_1(k2_goboard2(A)),1),k1_nat_1(k1_matrix_0(k2_goboard2(A)),1)) & m2_finseq_1(B,k3_finseq_2(k1_zfmisc_1(k1_euclid(2)))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) => k3_matrix_0(k1_zfmisc_1(k1_euclid(2)),B,C,D) = k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),k7_nat_d(C,1),k7_nat_d(D,1))) ) ) ) ) ) ) )).
fof(s2_matrix_0__e2_65__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),A))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_hidden(k4_tarski(E,F),k2_zfmisc_1(k2_finseq_1(k1_nat_1(C,1)),k2_finseq_1(k1_nat_1(D,1)))) & ! [G] : ( m1_subset_1(G,A) => ~ ? [H] : ( v7_ordinal1(H) & ? [I] : ( v7_ordinal1(I) & H = k6_xcmplx_0(E,1) & I = k6_xcmplx_0(F,1) & G = k1_binop_1(B,H,I) ) ) ) ) ) ) => ? [E] : ( v1_matrix_0(E) & v2_matrix_0(E,A,k1_nat_1(C,1),k1_nat_1(D,1)) & m2_finseq_1(E,k3_finseq_2(A)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( r2_hidden(k4_tarski(F,G),k2_matrix_0(E)) => ? [J] : ( v7_ordinal1(J) & ? [K] : ( v7_ordinal1(K) & J = k6_xcmplx_0(F,1) & K = k6_xcmplx_0(G,1) & k3_matrix_0(A,E,F,G) = k1_binop_1(B,J,K) ) ) ) ) ) ) ) ) )).
fof(s2_matrix_0__e3_11__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_zfmisc_1(k2_finseq_1(C),k2_finseq_1(C))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ( ~ r1_xxreal_0(D,E) => F = k4_struct_0(A) ) & ( r1_xxreal_0(D,E) => F = k4_algstr_0(A,k1_laplace(A,k4_group_1(A),k4_algstr_0(A,k9_algstr_0(A,B)),k1_nat_1(k7_nat_d(E,D),1))) ) ) ) ) ) ) => ? [D] : ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),C,C) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => ( ( ~ r1_xxreal_0(E,F) => k3_matrix_0(u1_struct_0(A),D,E,F) = k4_struct_0(A) ) & ( r1_xxreal_0(E,F) => k3_matrix_0(u1_struct_0(A),D,E,F) = k4_algstr_0(A,k1_laplace(A,k4_group_1(A),k4_algstr_0(A,k9_algstr_0(A,B)),k1_nat_1(k7_nat_d(F,E),1))) ) ) ) ) ) ) ) ) )).
fof(s2_matrix_0__e3_13__matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_hidden(k4_tarski(C,D),k2_zfmisc_1(k2_finseq_1(B),k2_finseq_1(B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_vectsp_1)) => ~ ( ( ( C = D & C = A ) => E = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) ) & ( C = D => ( C = A | E = k5_struct_0(k2_vectsp_1) ) ) & ( C != D => E = k4_struct_0(k2_vectsp_1) ) ) ) ) ) ) => ? [C] : ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => ( ( ( D = E & D = A ) => k3_matrix_0(u1_struct_0(k2_vectsp_1),C,D,E) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) ) & ( D = E => ( D = A | k3_matrix_0(u1_struct_0(k2_vectsp_1),C,D,E) = k5_struct_0(k2_vectsp_1) ) ) & ( D != E => k3_matrix_0(u1_struct_0(k2_vectsp_1),C,D,E) = k4_struct_0(k2_vectsp_1) ) ) ) ) ) ) ) ) )).
fof(s2_matrix_0__e4_43__matrix14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_hidden(k4_tarski(E,F),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A))) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( ( E = 1 => ( ( F = 1 => G = C ) & ( F != 1 => G = k4_algstr_0(B,k8_group_1(B,C,k3_matrix_0(u1_struct_0(B),D,1,F))) ) ) ) & ( E != 1 => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( H = E => G = k1_funct_1(k3_matrix14(B,A,H),F) ) ) ) ) ) ) ) ) => ? [E] : ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( r2_hidden(k4_tarski(F,G),k2_matrix_0(E)) => ( ( F = 1 => ( ( G = 1 => k3_matrix_0(u1_struct_0(B),E,F,G) = C ) & ( G != 1 => k3_matrix_0(u1_struct_0(B),E,F,G) = k4_algstr_0(B,k8_group_1(B,C,k3_matrix_0(u1_struct_0(B),D,1,G))) ) ) ) & ( F != 1 => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( I = F => k3_matrix_0(u1_struct_0(B),E,F,G) = k1_funct_1(k3_matrix14(B,A,I),G) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_matrix_0__e5_44__matrix14,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A))) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( ( D = 1 => ( ( E = 1 => F = k9_algstr_0(B,k3_matrix_0(u1_struct_0(B),C,1,1)) ) & ( E != 1 => F = k4_algstr_0(B,k8_group_1(B,k9_algstr_0(B,k3_matrix_0(u1_struct_0(B),C,1,1)),k3_matrix_0(u1_struct_0(B),C,1,E))) ) ) ) & ( D != 1 => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( G = D => F = k1_funct_1(k3_matrix14(B,A,G),E) ) ) ) ) ) ) ) ) => ? [D] : ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => ( ( E = 1 => ( ( F = 1 => k3_matrix_0(u1_struct_0(B),D,E,F) = k9_algstr_0(B,k3_matrix_0(u1_struct_0(B),C,1,1)) ) & ( F != 1 => k3_matrix_0(u1_struct_0(B),D,E,F) = k4_algstr_0(B,k8_group_1(B,k9_algstr_0(B,k3_matrix_0(u1_struct_0(B),C,1,1)),k3_matrix_0(u1_struct_0(B),C,1,F))) ) ) ) & ( E != 1 => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( H = E => k3_matrix_0(u1_struct_0(B),D,E,F) = k1_funct_1(k3_matrix14(B,A,H),F) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_msafree4__e4_116__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & v2_relat_1(D) & m1_msafree(D,A,k1_msafree3(A,B)) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,E)) => r2_tarski(k1_trees_4(k4_tarski(k1_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,E),k1_xtuple_0(k1_funct_1(F,k1_xboole_0))),E)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k3_equation(A)),E)) ) ) => ? [E] : ( m2_pboole(E,u1_struct_0(A),D,u3_msualg_1(A,k3_equation(A))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,F)) => k3_funct_2(k1_msafree4(u1_struct_0(A),D,F),k1_funct_1(u3_msualg_1(A,k3_equation(A)),F),k2_msafree4(u1_struct_0(A),D,u3_msualg_1(A,k3_equation(A)),E,F),G) = k1_trees_4(k4_tarski(k1_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,F),k1_xtuple_0(k1_funct_1(G,k1_xboole_0))),F)) ) ) ) ) ) )).
fof(s2_msafree5__e1_186_3__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) & m1_subset_1(G,u1_struct_0(A)) & m1_msafree4(H,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),G)) ) => ( ( ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_msafree4(J,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,I)) => k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k5_msafree5(A,C,F)),k6_msafree5(A,C,I,J)) = k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),u3_msualg_1(A,F),k5_msafree5(A,C,F),k22_msafree5(A,C,F,B,D,E)),k6_msafree5(A,C,I,J)) ) ) & ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ! [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,I,k1_msafree3(A,C))) => ( ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( r2_tarski(K,k10_xtuple_0(J)) => k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k5_msafree5(A,C,F)),K) = k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),u3_msualg_1(A,F),k5_msafree5(A,C,F),k22_msafree5(A,C,F,B,D,E)),K) ) ) => k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k5_msafree5(A,C,F)),k7_msafree5(A,C,I,J)) = k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),u3_msualg_1(A,F),k5_msafree5(A,C,F),k22_msafree5(A,C,F,B,D,E)),k7_msafree5(A,C,I,J)) ) ) ) ) => k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k5_msafree5(A,C,F)),H) = k4_msafree5(A,k1_msafree3(A,C),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),u3_msualg_1(A,F),k5_msafree5(A,C,F),k22_msafree5(A,C,F,B,D,E)),H) ) ) )).
fof(s2_msafree5__e3_101__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => ( ~ ( k10_msafree5(A,B,k1_msafree3(A,B),k6_msafree5(A,B,D,E)) != k5_numbers & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,F,k1_msafree3(A,B))) => k6_msafree5(A,B,D,E) != k7_msafree5(A,B,F,G) ) ) ) & ~ ( ? [F] : ( m1_subset_1(F,u4_struct_0(A)) & ? [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,F,k1_msafree3(A,B))) & k6_msafree5(A,B,D,E) = k7_msafree5(A,B,F,G) ) ) & k10_msafree5(A,B,k1_msafree3(A,B),k6_msafree5(A,B,D,E)) = k5_numbers ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) => ( ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r2_tarski(H,k10_xtuple_0(E)) => ( ~ ( k10_msafree5(A,B,k1_msafree3(A,B),H) != k5_numbers & ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ! [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,I,k1_msafree3(A,B))) => H != k7_msafree5(A,B,I,J) ) ) ) & ~ ( ? [I] : ( m1_subset_1(I,u4_struct_0(A)) & ? [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,I,k1_msafree3(A,B))) & H = k7_msafree5(A,B,I,J) ) ) & k10_msafree5(A,B,k1_msafree3(A,B),H) = k5_numbers ) ) ) ) => ( ~ ( k10_msafree5(A,B,k1_msafree3(A,B),k7_msafree5(A,B,D,E)) != k5_numbers & ! [K] : ( m1_subset_1(K,u4_struct_0(A)) => ! [L] : ( m1_msafree4(L,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,K,k1_msafree3(A,B))) => k7_msafree5(A,B,D,E) != k7_msafree5(A,B,K,L) ) ) ) & ~ ( ? [K] : ( m1_subset_1(K,u4_struct_0(A)) & ? [L] : ( m1_msafree4(L,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,K,k1_msafree3(A,B))) & k7_msafree5(A,B,D,E) = k7_msafree5(A,B,K,L) ) ) & k10_msafree5(A,B,k1_msafree3(A,B),k7_msafree5(A,B,D,E)) = k5_numbers ) ) ) ) ) ) => ( ~ ( k10_msafree5(A,B,k1_msafree3(A,B),C) != k5_numbers & ! [M] : ( m1_subset_1(M,u4_struct_0(A)) => ! [N] : ( m1_msafree4(N,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,M,k1_msafree3(A,B))) => C != k7_msafree5(A,B,M,N) ) ) ) & ~ ( ? [M] : ( m1_subset_1(M,u4_struct_0(A)) & ? [N] : ( m1_msafree4(N,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,M,k1_msafree3(A,B))) & C = k7_msafree5(A,B,M,N) ) ) & k10_msafree5(A,B,k1_msafree3(A,B),C) = k5_numbers ) ) ) ) )).
fof(s2_msafree5__e3_118__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => r1_xxreal_0(k11_msafree5(A,B,k1_msafree3(A,B),k6_msafree5(A,B,D,E)),k10_msafree5(A,B,k1_msafree3(A,B),k6_msafree5(A,B,D,E))) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) => ( ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r2_tarski(F,k10_xtuple_0(E)) => r1_xxreal_0(k11_msafree5(A,B,k1_msafree3(A,B),F),k10_msafree5(A,B,k1_msafree3(A,B),F)) ) ) => r1_xxreal_0(k11_msafree5(A,B,k1_msafree3(A,B),k7_msafree5(A,B,D,E)),k10_msafree5(A,B,k1_msafree3(A,B),k7_msafree5(A,B,D,E))) ) ) ) ) => r1_xxreal_0(k11_msafree5(A,B,k1_msafree3(A,B),C),k10_msafree5(A,B,k1_msafree3(A,B),C)) ) ) )).
fof(s2_msafree5__e3_198__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,E)) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k3_msafree5(A,k1_msafree3(A,B),k6_msafree5(A,B,E,F))),k6_msafree5(A,B,E,F),k4_msafree5(A,k1_msafree3(A,B),k10_msafree4(A,B,C),k5_msafree5(A,B,k10_msafree4(A,B,C)),k6_msafree5(A,B,E,F))) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,E,k1_msafree3(A,B))) => ( ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r2_tarski(G,k10_xtuple_0(F)) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k3_msafree5(A,k1_msafree3(A,B),G)),G,k4_msafree5(A,k1_msafree3(A,B),k10_msafree4(A,B,C),k5_msafree5(A,B,k10_msafree4(A,B,C)),G)) ) ) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k3_msafree5(A,k1_msafree3(A,B),k7_msafree5(A,B,E,F))),k7_msafree5(A,B,E,F),k4_msafree5(A,k1_msafree3(A,B),k10_msafree4(A,B,C),k5_msafree5(A,B,k10_msafree4(A,B,C)),k7_msafree5(A,B,E,F))) ) ) ) ) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k3_msafree5(A,k1_msafree3(A,B),D)),D,k4_msafree5(A,k1_msafree3(A,B),k10_msafree4(A,B,C),k5_msafree5(A,B,k10_msafree4(A,B,C)),D)) ) ) )).
fof(s2_msafree5__e3_257__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_msualg_6(C,A,k1_msafree3(A,B)) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,E)) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(k6_msafree5(A,B,E,F))) => ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( H = k5_trees_2(k6_msafree5(A,B,E,F),G) => ( k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k6_msafree5(A,B,E,F)),G) = k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,H) & r2_tarski(G,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k6_msafree5(A,B,E,F)))) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,E,k1_msafree3(A,B))) => ( ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r2_tarski(I,k10_xtuple_0(F)) => ! [J] : ( m1_trees_1(J,k9_xtuple_0(I)) => ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( K = k5_trees_2(I,J) => ( k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,I),J) = k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,K) & r2_tarski(J,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,I))) ) ) ) ) ) ) => ! [L] : ( m1_trees_1(L,k9_xtuple_0(k7_msafree5(A,B,E,F))) => ! [M] : ( m1_subset_1(M,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( M = k5_trees_2(k7_msafree5(A,B,E,F),L) => ( k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k7_msafree5(A,B,E,F)),L) = k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,M) & r2_tarski(L,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k7_msafree5(A,B,E,F)))) ) ) ) ) ) ) ) ) => ! [N] : ( m1_trees_1(N,k9_xtuple_0(D)) => ! [O] : ( m1_subset_1(O,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( O = k5_trees_2(D,N) => ( k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,D),N) = k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,O) & r2_tarski(N,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,D))) ) ) ) ) ) ) )).
fof(s2_msafree5__e3_262__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_msualg_6(D,A,k1_msafree3(A,B)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,E)) => ( r1_tarski(k9_xtuple_0(k6_msafree5(A,B,E,F)),k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,k6_msafree5(A,B,E,F)))) & ! [G] : ( G = a_4_12_msafree5(A,B,E,F) => k5_relat_1(k6_msafree5(A,B,E,F),k6_subset_1(k9_xtuple_0(k6_msafree5(A,B,E,F)),G)) = k5_relat_1(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,k6_msafree5(A,B,E,F)),k6_subset_1(k9_xtuple_0(k6_msafree5(A,B,E,F)),G)) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,E,k1_msafree3(A,B))) => ( ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r2_tarski(H,k10_xtuple_0(F)) => ( r1_tarski(k9_xtuple_0(H),k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,H))) & ! [I] : ( I = a_3_5_msafree5(A,B,H) => k5_relat_1(H,k6_subset_1(k9_xtuple_0(H),I)) = k5_relat_1(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,H),k6_subset_1(k9_xtuple_0(H),I)) ) ) ) ) => ( r1_tarski(k9_xtuple_0(k7_msafree5(A,B,E,F)),k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,k7_msafree5(A,B,E,F)))) & ! [J] : ( J = a_4_13_msafree5(A,B,E,F) => k5_relat_1(k7_msafree5(A,B,E,F),k6_subset_1(k9_xtuple_0(k7_msafree5(A,B,E,F)),J)) = k5_relat_1(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,k7_msafree5(A,B,E,F)),k6_subset_1(k9_xtuple_0(k7_msafree5(A,B,E,F)),J)) ) ) ) ) ) ) => ( r1_tarski(k9_xtuple_0(C),k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C))) & ! [K] : ( K = a_3_5_msafree5(A,B,C) => k5_relat_1(C,k6_subset_1(k9_xtuple_0(C),K)) = k5_relat_1(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C),k6_subset_1(k9_xtuple_0(C),K)) ) ) ) ) )).
fof(s2_msafree5__e3_263__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_msualg_6(C,A,k1_msafree3(A,B)) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_msafree4(F,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,E)) => ! [G] : ( G = a_4_12_msafree5(A,B,E,F) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k6_msafree5(A,B,E,F)))) => ~ ( ~ r2_tarski(H,k6_subset_1(k9_xtuple_0(k6_msafree5(A,B,E,F)),G)) & ! [I] : ( m1_trees_1(I,k9_xtuple_0(k6_msafree5(A,B,E,F))) => ~ ( r2_tarski(I,G) & ? [J] : ( m1_trees_1(J,k9_xtuple_0(k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k6_msafree5(A,B,E,F)),I))) & H = k8_finseq_1(k4_ordinal1,I,J) ) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,E,k1_msafree3(A,B))) => ( ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r2_tarski(K,k10_xtuple_0(F)) => ! [L] : ( L = a_3_5_msafree5(A,B,K) => ! [M] : ( m1_trees_1(M,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,K))) => ~ ( ~ r2_tarski(M,k6_subset_1(k9_xtuple_0(K),L)) & ! [N] : ( m1_trees_1(N,k9_xtuple_0(K)) => ~ ( r2_tarski(N,L) & ? [O] : ( m1_trees_1(O,k9_xtuple_0(k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,K),N))) & M = k8_finseq_1(k4_ordinal1,N,O) ) ) ) ) ) ) ) ) => ! [P] : ( P = a_4_13_msafree5(A,B,E,F) => ! [Q] : ( m1_trees_1(Q,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k7_msafree5(A,B,E,F)))) => ~ ( ~ r2_tarski(Q,k6_subset_1(k9_xtuple_0(k7_msafree5(A,B,E,F)),P)) & ! [R] : ( m1_trees_1(R,k9_xtuple_0(k7_msafree5(A,B,E,F))) => ~ ( r2_tarski(R,P) & ? [S] : ( m1_trees_1(S,k9_xtuple_0(k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k7_msafree5(A,B,E,F)),R))) & Q = k8_finseq_1(k4_ordinal1,R,S) ) ) ) ) ) ) ) ) ) ) => ! [T] : ( T = a_3_5_msafree5(A,B,D) => ! [U] : ( m1_trees_1(U,k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,D))) => ~ ( ~ r2_tarski(U,k6_subset_1(k9_xtuple_0(D),T)) & ! [V] : ( m1_trees_1(V,k9_xtuple_0(D)) => ~ ( r2_tarski(V,T) & ? [W] : ( m1_trees_1(W,k9_xtuple_0(k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,D),V))) & U = k8_finseq_1(k4_ordinal1,V,W) ) ) ) ) ) ) ) ) )).
fof(s2_msafree5__e4_159__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_msafree4(H,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,G)) => r2_tarski(k9_trees_4(k6_msafree5(A,C,G,H),F,k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),k6_msafree5(A,C,G,H)))) ) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_msafree4(H,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,G,k1_msafree3(A,C))) => ( ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( r2_tarski(I,k10_xtuple_0(H)) => r2_tarski(k9_trees_4(I,F,k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),I))) ) ) => r2_tarski(k9_trees_4(k7_msafree5(A,C,G,H),F,k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),k7_msafree5(A,C,G,H)))) ) ) ) ) => r2_tarski(k9_trees_4(E,F,k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),E))) ) ) )).
fof(s2_msafree5__e4_188__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_msafree4(H,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,G)) => ( v9_msafree5(k6_msafree5(A,C,G,H),A,C,k1_msafree3(A,C),B,E) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),k1_msafree3(A,C),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k6_msafree5(A,C,G,H)),A,C,k1_msafree3(A,C),B,D) ) ) ) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_msafree4(H,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,G,k1_msafree3(A,C))) => ( ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( r2_tarski(I,k10_xtuple_0(H)) => ( v9_msafree5(I,A,C,k1_msafree3(A,C),B,E) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),k1_msafree3(A,C),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),I),A,C,k1_msafree3(A,C),B,D) ) ) ) => ( v9_msafree5(k7_msafree5(A,C,G,H),A,C,k1_msafree3(A,C),B,E) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),k1_msafree3(A,C),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k7_msafree5(A,C,G,H)),A,C,k1_msafree3(A,C),B,D) ) ) ) ) ) => ( v9_msafree5(F,A,C,k1_msafree3(A,C),B,E) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),k1_msafree3(A,C),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),F),A,C,k1_msafree3(A,C),B,D) ) ) ) )).
fof(s2_msafree5__e4_195__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v6_msafree5(C) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v5_msafree4(E,A,C) & v6_msafree4(E,A,C) & v7_msafree4(E,A,C) & v8_msafree4(E,A,C) & l3_msualg_1(E,A) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & v13_msafree5(G,A,C,E,B,D) & m1_msafree5(G,A,k1_msafree3(A,C),E) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,H)) => ( v9_msafree5(k6_msafree5(A,C,H,I),A,C,k1_msafree3(A,C),B,D) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),E,G,k6_msafree5(A,C,H,I)),A,C,E,B,D) ) ) ) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m1_msafree4(I,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,H,k1_msafree3(A,C))) => ( ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( r2_tarski(J,k10_xtuple_0(I)) => ( v9_msafree5(J,A,C,k1_msafree3(A,C),B,D) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),E,G,J),A,C,E,B,D) ) ) ) => ( v9_msafree5(k7_msafree5(A,C,H,I),A,C,k1_msafree3(A,C),B,D) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),E,G,k7_msafree5(A,C,H,I)),A,C,E,B,D) ) ) ) ) ) => ( v9_msafree5(F,A,C,k1_msafree3(A,C),B,D) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),E,G,F),A,C,E,B,D) ) ) ) )).
fof(s2_msafree5__e4_261__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,D)) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r1_tarski(k6_msafree5(A,B,D,E),F) => k6_msafree5(A,B,D,E) = F ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) => ( ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r2_tarski(G,k10_xtuple_0(E)) => ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r1_tarski(G,H) => G = H ) ) ) ) => ! [I] : ( m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r1_tarski(k7_msafree5(A,B,D,E),I) => k7_msafree5(A,B,D,E) = I ) ) ) ) ) ) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r1_tarski(C,J) => C = J ) ) ) ) )).
fof(s2_msafree5__e5_249__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,F)) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(k6_msafree5(A,C,F,G))) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( ( k1_funct_1(k6_msafree5(A,C,F,G),H) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),I,B) & J = k6_msafree5(A,C,F,G) ) => m1_msafree4(k7_trees_2(k6_msafree5(A,C,F,G),H,E),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),J))) ) ) ) ) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,F,k1_msafree3(A,C))) => ( ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( r2_tarski(K,k10_xtuple_0(G)) => ! [L] : ( m1_trees_1(L,k9_xtuple_0(K)) => ! [M] : ( m1_msafree4(M,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [N] : ( m1_subset_1(N,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( ( k1_funct_1(K,L) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),M,B) & N = K ) => m1_msafree4(k7_trees_2(K,L,E),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),N))) ) ) ) ) ) ) => ! [O] : ( m1_trees_1(O,k9_xtuple_0(k7_msafree5(A,C,F,G))) => ! [P] : ( m1_msafree4(P,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [Q] : ( m1_subset_1(Q,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( ( k1_funct_1(k7_msafree5(A,C,F,G),O) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),P,B) & Q = k7_msafree5(A,C,F,G) ) => m1_msafree4(k7_trees_2(k7_msafree5(A,C,F,G),O,E),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),Q))) ) ) ) ) ) ) ) ) => ! [R] : ( m1_trees_1(R,k9_xtuple_0(D)) => ! [S] : ( m1_msafree4(S,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [T] : ( m1_subset_1(T,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( ( k1_funct_1(D,R) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),S,B) & T = D ) => m1_msafree4(k7_trees_2(D,R,E),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),T))) ) ) ) ) ) ) )).
fof(s2_msaterm__e4_62__msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m2_pboole(D,u1_struct_0(A),C,u3_msualg_1(A,B)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ? [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finset_1(H) & v3_trees_2(H) & G = k1_trees_4(k4_tarski(F,E)) & r1_msaterm(A,B,C,G,D,H) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(C,E)) => ? [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & v1_finset_1(J) & v3_trees_2(J) & I = k1_trees_4(k4_tarski(F,E)) & r1_msaterm(A,B,C,I,D,J) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msaterm(F,A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E)) => ( ! [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( r2_tarski(K,k10_xtuple_0(F)) => ? [L] : ( m1_dtconstr(L,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & ? [M] : ( v1_relat_1(M) & v1_funct_1(M) & v1_finset_1(M) & v3_trees_2(M) & L = K & r1_msaterm(A,B,C,L,D,M) ) ) ) ) => ? [N] : ( m1_dtconstr(N,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & ? [O] : ( v1_relat_1(O) & v1_funct_1(O) & v1_finset_1(O) & v3_trees_2(O) & N = k8_trees_4(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E),F) & r1_msaterm(A,B,C,N,D,O) ) ) ) ) ) ) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ? [P] : ( m1_dtconstr(P,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) & ? [Q] : ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finset_1(Q) & v3_trees_2(Q) & P = E & r1_msaterm(A,B,C,P,D,Q) ) ) ) ) ) )).
fof(s2_msualg_6__e1_48__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ? [D] : ( m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)))) & ? [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,B),H)) & ? [K] : ( m1_subset_1(K,k1_funct_1(u3_msualg_1(A,B),H)) & r1_rewrite1(k3_msualg_6(A),H,E) & m2_msualg_6(I,A,B,H,E) & r2_hidden(k4_tarski(J,K),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,H)) & F = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,J) & G = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,K) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_msualg_6__e1_52__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ? [D] : ( m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)))) & ? [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,B),H)) & ? [K] : ( m1_subset_1(K,k1_funct_1(u3_msualg_1(A,B),H)) & H = E & ? [L] : ( m1_msualg_6(L,A,B) & r1_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),H),I,k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),L,H)) ) & r2_hidden(k4_tarski(J,K),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,H)) & F = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,J) & G = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,K) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_msualg_6__e1_79__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ? [D] : ( m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E)) <=> r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),k8_msualg_6(A,B,C),E),F,G) ) ) ) ) ) ) )).
fof(s2_nat_1__e101_65_1__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) & v7_ordinal1(C) & v1_relat_1(D) & v5_relat_1(D,k1_numbers) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) ) => ( ( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),C) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(D,k1_nat_1(k5_numbers,1))),k3_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(3,k2_xcmplx_0(k4_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),k5_numbers))) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k1_nat_1(E,1),C) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(D,k1_nat_1(E,1))),k3_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(3,k2_xcmplx_0(k4_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),E))) ) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(E,1),1),C) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(D,k1_nat_1(k1_nat_1(E,1),1))),k3_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(3,k2_xcmplx_0(k4_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),k1_nat_1(E,1)))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_nat_1(E,1),C) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(D,k1_nat_1(E,1))),k3_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(3,k2_xcmplx_0(k4_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),E))) ) ) ) ) )).
fof(s2_nat_1__e10_12__prepower,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( ~ r1_xxreal_0(k1_newton(B,k2_xcmplx_0(1,k5_numbers)),k1_newton(A,k2_xcmplx_0(1,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k1_newton(B,k2_xcmplx_0(1,C)),k1_newton(A,k2_xcmplx_0(1,C))) => ~ r1_xxreal_0(k1_newton(B,k2_xcmplx_0(1,k1_nat_1(C,1))),k1_newton(A,k2_xcmplx_0(1,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k1_newton(B,k2_xcmplx_0(1,C)),k1_newton(A,k2_xcmplx_0(1,C))) ) ) ) )).
fof(s2_nat_1__e10_13__friends1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v7_ordinal1(B) ) => ( ( k1_funct_1(A,1) = k1_funct_1(A,k2_xcmplx_0(k4_nat_d(k3_xcmplx_0(B,k5_numbers),k3_finseq_1(A)),1)) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(A,1) = k1_funct_1(A,k2_xcmplx_0(k4_nat_d(k3_xcmplx_0(B,C),k3_finseq_1(A)),1)) => k1_funct_1(A,1) = k1_funct_1(A,k2_xcmplx_0(k4_nat_d(k3_xcmplx_0(B,k1_nat_1(C,1)),k3_finseq_1(A)),1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(A,1) = k1_funct_1(A,k2_xcmplx_0(k4_nat_d(k3_xcmplx_0(B,C),k3_finseq_1(A)),1)) ) ) ) )).
fof(s2_nat_1__e10_15__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(A,k1_newton(A,k1_nat_1(k5_numbers,1))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,k1_newton(A,k1_nat_1(B,1))) => r1_xxreal_0(A,k1_newton(A,k1_nat_1(k1_nat_1(B,1),1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(A,k1_newton(A,k1_nat_1(B,1))) ) ) ) )).
fof(s2_nat_1__e10_173__comput_1,axiom,( ( k1_recdef_1(k19_comput_1,k12_finseq_1(k4_ordinal1,k1_nat_1(k5_numbers,1))) = k5_numbers & ! [A] : ( v7_ordinal1(A) => ( k1_recdef_1(k19_comput_1,k12_finseq_1(k4_ordinal1,k1_nat_1(A,1))) = A => k1_recdef_1(k19_comput_1,k12_finseq_1(k4_ordinal1,k1_nat_1(k1_nat_1(A,1),1))) = k1_nat_1(A,1) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_recdef_1(k19_comput_1,k12_finseq_1(k4_ordinal1,k1_nat_1(A,1))) = A ) )).
fof(s2_nat_1__e10_17__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k1_newton(A,k2_xcmplx_0(1,k5_numbers)),A) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k1_newton(A,k2_xcmplx_0(1,B)),A) => r1_xxreal_0(k1_newton(A,k2_xcmplx_0(1,k1_nat_1(B,1))),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_newton(A,k2_xcmplx_0(1,B)),A) ) ) ) )).
fof(s2_nat_1__e10_18__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)))) ) => ( ( ! [D] : ( m1_subset_1(D,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ~ ( k4_card_1(D) = k5_numbers & r1_tarski(D,k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,D) != k1_group_1(B) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,D) != k4_algstr_0(B,k1_group_1(B)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ~ ( k4_card_1(F) = E & r1_tarski(F,k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,F) != k1_group_1(B) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,F) != k4_algstr_0(B,k1_group_1(B)) ) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ~ ( k4_card_1(G) = k1_nat_1(E,1) & r1_tarski(G,k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,G) != k1_group_1(B) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,G) != k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m1_subset_1(H,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ~ ( k4_card_1(H) = E & r1_tarski(H,k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,H) != k1_group_1(B) & k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),C,H) != k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) )).
fof(s2_nat_1__e10_18__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(A,k1_newton(A,k2_xcmplx_0(2,k5_numbers))) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,k1_newton(A,k2_xcmplx_0(2,B))) => ~ r1_xxreal_0(A,k1_newton(A,k2_xcmplx_0(2,k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(A,k1_newton(A,k2_xcmplx_0(2,B))) ) ) ) )).
fof(s2_nat_1__e10_225__fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & v11_fomodel4(C,A,B) & m2_subset_1(D,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C))),k2_xboole_0(k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),k5_margrel1))),k15_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)))) ) => ( ( ! [E] : ( ( v4_fomodel2(E,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v3_fomodel2(E,A,k5_numbers) => ( k25_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),D,E) = 1 <=> r2_tarski(E,C) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v4_fomodel2(G,A) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v3_fomodel2(G,A,F) => ( k25_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),D,G) = 1 <=> r2_tarski(G,C) ) ) ) => ! [H] : ( ( v4_fomodel2(H,A) & m2_subset_1(H,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v3_fomodel2(H,A,k1_nat_1(F,1)) => ( k25_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),D,H) = 1 <=> r2_tarski(H,C) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v4_fomodel2(I,A) & m2_subset_1(I,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( v3_fomodel2(I,A,F) => ( k25_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),D,I) = 1 <=> r2_tarski(I,C) ) ) ) ) ) ) )).
fof(s2_nat_1__e10_25_1__ltlaxio2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_hilbert1,k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) & m2_finseq_1(B,k1_hilbert1) ) => ( ( k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k5_numbers,B)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k5_numbers,B))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,k5_numbers,B)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,k5_numbers,B)))))) & ! [C] : ( v7_ordinal1(C) => ( k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,B)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,B))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,C,B)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,C,B)))))) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k1_nat_1(C,1),B)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k1_nat_1(C,1),B))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,k1_nat_1(C,1),B)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,k1_nat_1(C,1),B)))))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,B)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,B))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,C,B)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,C,B)))))) ) ) ) )).
fof(s2_nat_1__e10_25__abcmiz_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( k1_abcmiz_1(k1_funct_1(A,k5_numbers)) = k1_funct_1(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_abcmiz_1(k1_funct_1(A,B)) = k1_funct_1(A,B) => k1_abcmiz_1(k1_funct_1(A,k1_nat_1(B,1))) = k1_funct_1(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_abcmiz_1(k1_funct_1(A,B)) = k1_funct_1(A,B) ) ) ) )).
fof(s2_nat_1__e10_25__sin_cos,axiom,( ( k1_funct_1(k10_comseq_3(k3_sin_cos(k5_complex1)),k5_numbers) = 1 & ! [A] : ( v7_ordinal1(A) => ( k1_funct_1(k10_comseq_3(k3_sin_cos(k5_complex1)),A) = 1 => k1_funct_1(k10_comseq_3(k3_sin_cos(k5_complex1)),k1_nat_1(A,1)) = 1 ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_funct_1(k10_comseq_3(k3_sin_cos(k5_complex1)),A) = 1 ) )).
fof(s2_nat_1__e10_2__gr_cy_1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k4_numbers) & m2_finseq_1(B,k2_numbers) ) => ( ( k7_setwiseo(k4_ordinal1,k4_numbers,k20_binop_2,k2_setwop_2(k5_numbers),k1_setwop_2(k4_numbers,A,k3_binop_1(k4_numbers,k20_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(k5_numbers),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) & ! [C] : ( v7_ordinal1(C) => ( k7_setwiseo(k4_ordinal1,k4_numbers,k20_binop_2,k2_setwop_2(C),k1_setwop_2(k4_numbers,A,k3_binop_1(k4_numbers,k20_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(C),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) => k7_setwiseo(k4_ordinal1,k4_numbers,k20_binop_2,k2_setwop_2(k1_nat_1(C,1)),k1_setwop_2(k4_numbers,A,k3_binop_1(k4_numbers,k20_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(k1_nat_1(C,1)),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k7_setwiseo(k4_ordinal1,k4_numbers,k20_binop_2,k2_setwop_2(C),k1_setwop_2(k4_numbers,A,k3_binop_1(k4_numbers,k20_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(C),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) ) ) ) )).
fof(s2_nat_1__e10_30__hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_ideal_1(F,A,C) & m1_ideal_1(G,B,D) ) => ( ( ! [H] : ( m1_ideal_1(H,A,C) => ! [I] : ( m1_ideal_1(I,B,D) => ( ( r2_relset_1(k4_ordinal1,u1_struct_0(A),H,k5_relset_1(k4_ordinal1,u1_struct_0(A),F,k2_finseq_1(k5_numbers))) & r2_relset_1(k4_ordinal1,u1_struct_0(B),I,k5_relset_1(k4_ordinal1,u1_struct_0(B),G,k2_finseq_1(k5_numbers))) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k4_rlvect_1(A,H)) = k4_rlvect_1(B,I) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( m1_ideal_1(K,A,C) => ! [L] : ( m1_ideal_1(L,B,D) => ( ( r2_relset_1(k4_ordinal1,u1_struct_0(A),K,k5_relset_1(k4_ordinal1,u1_struct_0(A),F,k2_finseq_1(J))) & r2_relset_1(k4_ordinal1,u1_struct_0(B),L,k5_relset_1(k4_ordinal1,u1_struct_0(B),G,k2_finseq_1(J))) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k4_rlvect_1(A,K)) = k4_rlvect_1(B,L) ) ) ) => ! [M] : ( m1_ideal_1(M,A,C) => ! [N] : ( m1_ideal_1(N,B,D) => ( ( r2_relset_1(k4_ordinal1,u1_struct_0(A),M,k5_relset_1(k4_ordinal1,u1_struct_0(A),F,k2_finseq_1(k1_nat_1(J,1)))) & r2_relset_1(k4_ordinal1,u1_struct_0(B),N,k5_relset_1(k4_ordinal1,u1_struct_0(B),G,k2_finseq_1(k1_nat_1(J,1)))) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k4_rlvect_1(A,M)) = k4_rlvect_1(B,N) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [O] : ( m1_ideal_1(O,A,C) => ! [P] : ( m1_ideal_1(P,B,D) => ( ( r2_relset_1(k4_ordinal1,u1_struct_0(A),O,k5_relset_1(k4_ordinal1,u1_struct_0(A),F,k2_finseq_1(J))) & r2_relset_1(k4_ordinal1,u1_struct_0(B),P,k5_relset_1(k4_ordinal1,u1_struct_0(B),G,k2_finseq_1(J))) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k4_rlvect_1(A,O)) = k4_rlvect_1(B,P) ) ) ) ) ) ) )).
fof(s2_nat_1__e10_30__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & m1_rewrite1(C,k18_finseq_1(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => r1_rewrite1(A,B,k1_funct_1(C,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(C)) => r1_rewrite1(A,B,k1_funct_1(C,D)) ) => ( r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) => r1_rewrite1(A,B,k1_funct_1(C,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => r1_rewrite1(A,B,k1_funct_1(C,D)) ) ) ) ) )).
fof(s2_nat_1__e10_32__lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ( ( k1_funct_1(k1_bhsp_4(A,k1_lopban_4(A,k4_struct_0(A))),k5_numbers) = k5_struct_0(A) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k1_bhsp_4(A,k1_lopban_4(A,k4_struct_0(A))),B) = k5_struct_0(A) => k1_funct_1(k1_bhsp_4(A,k1_lopban_4(A,k4_struct_0(A))),k1_nat_1(B,1)) = k5_struct_0(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k1_bhsp_4(A,k1_lopban_4(A,k4_struct_0(A))),B) = k5_struct_0(A) ) ) ) )).
fof(s2_nat_1__e10_33__eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,k5_numbers)),k5_eqrel_1(A,B,C)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,E)),k5_eqrel_1(A,B,C)) ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,k1_nat_1(E,1))),k5_eqrel_1(A,B,C)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,E)),k5_eqrel_1(A,B,C)) ) ) ) ) )).
fof(s2_nat_1__e10_34__mesfunc9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers)) = k1_setfam_1(a_2_0_mesfunc9(A,B)) & ! [C] : ( v7_ordinal1(C) => ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) = k1_setfam_1(a_3_0_mesfunc9(A,B,C)) => k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(C,1))) = k1_setfam_1(a_3_1_mesfunc9(A,B,C)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) = k1_setfam_1(a_3_0_mesfunc9(A,B,C)) ) ) ) )).
fof(s2_nat_1__e10_37__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m1_subset_1(C,A) ) => ( ( k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,B,C)),k5_numbers) = k12_supinf_2(k3_mesfunc5(A,k3_mesfunc9(A,B),C),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,B,C)),D) = k12_supinf_2(k3_mesfunc5(A,k3_mesfunc9(A,B),C),D) => k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,B,C)),k1_nat_1(D,1)) = k12_supinf_2(k3_mesfunc5(A,k3_mesfunc9(A,B),C),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,B,C)),D) = k12_supinf_2(k3_mesfunc5(A,k3_mesfunc9(A,B),C),D) ) ) ) )).
fof(s2_nat_1__e10_41__circcmb2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) & v4_msualg_1(D,B) & v4_msafree2(D,B) & l3_msualg_1(D,B) & m1_subset_1(E,k4_card_3(u3_msualg_1(A,C))) & m1_subset_1(F,k4_card_3(u3_msualg_1(B,D))) ) => ( ( k5_relat_1(k5_facirc_1(B,D,F,k5_numbers),u1_struct_0(A)) = k5_facirc_1(A,C,E,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ( k5_relat_1(k5_facirc_1(B,D,F,G),u1_struct_0(A)) = k5_facirc_1(A,C,E,G) => k5_relat_1(k5_facirc_1(B,D,F,k1_nat_1(G,1)),u1_struct_0(A)) = k5_facirc_1(A,C,E,k1_nat_1(G,1)) ) ) ) => ! [G] : ( v7_ordinal1(G) => k5_relat_1(k5_facirc_1(B,D,F,G),u1_struct_0(A)) = k5_facirc_1(A,C,E,G) ) ) ) )).
fof(s2_nat_1__e10_41__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),C,k5_numbers),k1_binop_1(k2_dblseq_2(B),C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),C,D),k1_binop_1(k2_dblseq_2(B),C,D)) => r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),C,k1_nat_1(D,1)),k1_binop_1(k2_dblseq_2(B),C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),C,D),k1_binop_1(k2_dblseq_2(B),C,D)) ) ) ) )).
fof(s2_nat_1__e10_44_1_7_1_2__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m2_finseq_1(C,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B))))) & m1_subset_1(E,k4_ordinal1) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,E) & r2_tarski(D,k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)))),C,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) & r2_tarski(D,k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)))),C,F)) ) => ~ ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),E) & r2_tarski(D,k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)))),C,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) & r2_tarski(D,k7_partfun1(k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)))),C,F)) ) ) ) ) )).
fof(s2_nat_1__e10_44__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( ( k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers)))) = k4_nat_1(k1_nat_1(k5_numbers,1),k4_card_1(k2_glib_002(A,B))) & ! [C] : ( v7_ordinal1(C) => ( k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) = k4_nat_1(k1_nat_1(C,1),k4_card_1(k2_glib_002(A,B))) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(C,1))))) = k4_nat_1(k1_nat_1(k1_nat_1(C,1),1),k4_card_1(k2_glib_002(A,B))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) = k4_nat_1(k1_nat_1(C,1),k4_card_1(k2_glib_002(A,B))) ) ) ) )).
fof(s2_nat_1__e10_44__real_3,axiom,( ! [A] : ( v1_int_1(A) => ( ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,A)),k1_nat_1(k5_numbers,2)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,A)),k1_nat_1(k5_numbers,2)) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,A)),k1_nat_1(B,2)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,A)),k1_nat_1(B,2)) = k5_numbers ) => ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,A)),k1_nat_1(k1_nat_1(B,1),2)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,A)),k1_nat_1(k1_nat_1(B,1),2)) = k5_numbers ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,A)),k1_nat_1(B,2)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,A)),k1_nat_1(B,2)) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e10_45_1_1_1_1_5_1_4__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(E,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),k5_numbers),k3_finseq_1(B)) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),k5_numbers)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),F),k3_finseq_1(B)) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),F)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),F)) ) => ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),k1_nat_1(F,1)),k3_finseq_1(B)) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),k1_nat_1(F,1))) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),F),k3_finseq_1(B)) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),F)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(k1_nat_1(k1_nat_1(C,1),1),F)) ) ) ) ) )).
fof(s2_nat_1__e10_47__poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(G,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) & v1_funct_1(H) & v1_funct_2(H,A,k4_ordinal1) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( ! [I] : ( m1_subset_1(I,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,H,I),k5_numbers) => ( r2_tarski(k1_funct_1(G,I),B) & k1_funct_1(G,I) = k8_poset_2(A,B,C,D,E,I,k1_funct_1(G,k3_funct_2(A,A,F,I))) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( m1_subset_1(K,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,H,K),J) => ( r2_tarski(k1_funct_1(G,K),B) & k1_funct_1(G,K) = k8_poset_2(A,B,C,D,E,K,k1_funct_1(G,k3_funct_2(A,A,F,K))) ) ) ) => ! [L] : ( m1_subset_1(L,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,H,L),k1_nat_1(J,1)) => ( r2_tarski(k1_funct_1(G,L),B) & k1_funct_1(G,L) = k8_poset_2(A,B,C,D,E,L,k1_funct_1(G,k3_funct_2(A,A,F,L))) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [M] : ( m1_subset_1(M,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,H,M),J) => ( r2_tarski(k1_funct_1(G,M),B) & k1_funct_1(G,M) = k8_poset_2(A,B,C,D,E,M,k1_funct_1(G,k3_funct_2(A,A,F,M))) ) ) ) ) ) ) )).
fof(s2_nat_1__e10_48__sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( ~ r1_xxreal_0(D,k5_numbers) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k5_numbers),k1_funct_4(C,k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa6a(k4_scmfsa6a(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k7_scmfsa_2(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa_2(k5_numbers)))))) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(D,E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),E),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),E),k1_funct_4(C,k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa6a(k4_scmfsa6a(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k7_scmfsa_2(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa_2(k5_numbers)))))) ) ) => ( ~ r1_xxreal_0(D,k1_nat_1(E,1)) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k1_nat_1(E,1)),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k1_nat_1(E,1)),k1_funct_4(C,k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa6a(k4_scmfsa6a(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k7_scmfsa_2(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa_2(k5_numbers)))))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),E),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),E),k1_funct_4(C,k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa6a(k4_scmfsa6a(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k7_scmfsa_2(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))),k3_sf_mastr(k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))))),k4_scmfsa_2(k5_numbers)))))) ) ) ) ) ) )).
fof(s2_nat_1__e10_49__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(k2_rearran1(A,D))) => k17_finseq_1(k1_numbers,k5_numbers,k20_rfunct_3(A,k4_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k4_rearran1(B,A,D,C),k1_funct_1(k2_rearran1(A,D),k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k2_rearran1(A,D))) => k17_finseq_1(k1_numbers,E,k20_rfunct_3(A,k4_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k4_rearran1(B,A,D,C),k1_funct_1(k2_rearran1(A,D),E)) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(k2_rearran1(A,D))) => k17_finseq_1(k1_numbers,k1_nat_1(E,1),k20_rfunct_3(A,k4_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k4_rearran1(B,A,D,C),k1_funct_1(k2_rearran1(A,D),k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(k2_rearran1(A,D))) => k17_finseq_1(k1_numbers,E,k20_rfunct_3(A,k4_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k4_rearran1(B,A,D,C),k1_funct_1(k2_rearran1(A,D),E)) ) ) ) ) )).
fof(s2_nat_1__e10_52__mesfunc9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k12_supinf_2(k1_mesfunc9(A),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k12_supinf_2(k1_mesfunc9(A),B) = k5_numbers => k12_supinf_2(k1_mesfunc9(A),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k12_supinf_2(k1_mesfunc9(A),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e10_54_2_1_2__seqm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k1_numbers) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_xreal_0(E) => ~ ( D = k5_numbers & ~ r1_xxreal_0(D,k5_numbers) & r2_tarski(k2_xcmplx_0(B,D),k4_finseq_1(A)) & E = k1_funct_1(A,k2_xcmplx_0(B,D)) & r1_xxreal_0(E,C) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ! [H] : ( v1_xreal_0(H) => ~ ( G = F & ~ r1_xxreal_0(G,k5_numbers) & r2_tarski(k2_xcmplx_0(B,G),k4_finseq_1(A)) & H = k1_funct_1(A,k2_xcmplx_0(B,G)) & r1_xxreal_0(H,C) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v1_xreal_0(J) => ~ ( I = k1_nat_1(F,1) & ~ r1_xxreal_0(I,k5_numbers) & r2_tarski(k2_xcmplx_0(B,I),k4_finseq_1(A)) & J = k1_funct_1(A,k2_xcmplx_0(B,I)) & r1_xxreal_0(J,C) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v1_xreal_0(L) => ~ ( K = F & ~ r1_xxreal_0(K,k5_numbers) & r2_tarski(k2_xcmplx_0(B,K),k4_finseq_1(A)) & L = k1_funct_1(A,k2_xcmplx_0(B,K)) & r1_xxreal_0(L,C) ) ) ) ) ) ) )).
fof(s2_nat_1__e10_54__seqm_3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v7_ordinal1(B) ) => ( ( ~ ( r2_tarski(k5_numbers,k2_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,C) = k5_numbers ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r2_tarski(D,k2_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(A)) & k1_funct_1(A,E) = D ) ) ) => ~ ( r2_tarski(k1_nat_1(D,1),k2_finseq_1(B)) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(A)) & k1_funct_1(A,F) = k1_nat_1(D,1) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(B)) & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(A)) & k1_funct_1(A,G) = D ) ) ) ) ) ) )).
fof(s2_nat_1__e10_56__poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(A,B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) & v1_funct_1(G) & v1_funct_2(G,k3_zfmisc_1(A,B,B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) & v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(I) & v1_funct_2(I,A,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(J,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) & v1_funct_1(K) & v1_funct_2(K,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(K,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) & v1_funct_1(L) & v1_funct_2(L,A,k4_ordinal1) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( ! [M] : ( m1_subset_1(M,A) => ! [N] : ( m1_subset_1(N,A) => ( ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,M),k5_numbers) & r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,N),k5_numbers) ) => ( r2_tarski(k1_funct_1(J,M),B) & k1_funct_1(J,M) = k10_poset_2(A,B,C,D,F,M,k1_funct_1(J,k3_funct_2(A,A,H,M)),k1_funct_1(K,k3_funct_2(A,A,I,M))) & r2_tarski(k1_funct_1(K,N),B) & k1_funct_1(K,N) = k10_poset_2(A,B,C,E,G,N,k1_funct_1(J,k3_funct_2(A,A,H,N)),k1_funct_1(K,k3_funct_2(A,A,I,N))) ) ) ) ) & ! [O] : ( v7_ordinal1(O) => ( ! [P] : ( m1_subset_1(P,A) => ! [Q] : ( m1_subset_1(Q,A) => ( ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,P),O) & r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,Q),O) ) => ( r2_tarski(k1_funct_1(J,P),B) & k1_funct_1(J,P) = k10_poset_2(A,B,C,D,F,P,k1_funct_1(J,k3_funct_2(A,A,H,P)),k1_funct_1(K,k3_funct_2(A,A,I,P))) & r2_tarski(k1_funct_1(K,Q),B) & k1_funct_1(K,Q) = k10_poset_2(A,B,C,E,G,Q,k1_funct_1(J,k3_funct_2(A,A,H,Q)),k1_funct_1(K,k3_funct_2(A,A,I,Q))) ) ) ) ) => ! [R] : ( m1_subset_1(R,A) => ! [S] : ( m1_subset_1(S,A) => ( ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,R),k1_nat_1(O,1)) & r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,S),k1_nat_1(O,1)) ) => ( r2_tarski(k1_funct_1(J,R),B) & k1_funct_1(J,R) = k10_poset_2(A,B,C,D,F,R,k1_funct_1(J,k3_funct_2(A,A,H,R)),k1_funct_1(K,k3_funct_2(A,A,I,R))) & r2_tarski(k1_funct_1(K,S),B) & k1_funct_1(K,S) = k10_poset_2(A,B,C,E,G,S,k1_funct_1(J,k3_funct_2(A,A,H,S)),k1_funct_1(K,k3_funct_2(A,A,I,S))) ) ) ) ) ) ) ) => ! [O] : ( v7_ordinal1(O) => ! [T] : ( m1_subset_1(T,A) => ! [U] : ( m1_subset_1(U,A) => ( ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,T),O) & r1_xxreal_0(k3_funct_2(A,k4_ordinal1,L,U),O) ) => ( r2_tarski(k1_funct_1(J,T),B) & k1_funct_1(J,T) = k10_poset_2(A,B,C,D,F,T,k1_funct_1(J,k3_funct_2(A,A,H,T)),k1_funct_1(K,k3_funct_2(A,A,I,T))) & r2_tarski(k1_funct_1(K,U),B) & k1_funct_1(K,U) = k10_poset_2(A,B,C,E,G,U,k1_funct_1(J,k3_funct_2(A,A,H,U)),k1_funct_1(K,k3_funct_2(A,A,I,U))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e10_61__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & m1_rewrite1(C,A) ) => ( ( ~ ( r2_tarski(k5_numbers,k4_finseq_1(C)) & ! [D] : ~ ( ( r2_hidden(k4_tarski(k1_funct_1(C,k5_numbers),D),A) | k1_funct_1(C,k5_numbers) = D ) & r1_rewrite1(A,B,D) ) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ~ ( ( r2_hidden(k4_tarski(k1_funct_1(C,E),F),A) | k1_funct_1(C,E) = F ) & r1_rewrite1(A,B,F) ) ) => ~ ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(C)) & ! [G] : ~ ( ( r2_hidden(k4_tarski(k1_funct_1(C,k1_nat_1(E,1)),G),A) | k1_funct_1(C,k1_nat_1(E,1)) = G ) & r1_rewrite1(A,B,G) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [H] : ~ ( ( r2_hidden(k4_tarski(k1_funct_1(C,E),H),A) | k1_funct_1(C,E) = H ) & r1_rewrite1(A,B,H) ) ) ) ) ) )).
fof(s2_nat_1__e10_62_3__bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A))))) ) => ( ( ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(C) = k5_numbers & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),C,D),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),D,C),B) ) => C = D ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k5_finsub_1(u1_struct_0(A))) => ! [G] : ( m1_subset_1(G,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(F) = E & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),F,G),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),G,F),B) ) => F = G ) ) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(u1_struct_0(A))) => ! [I] : ( m1_subset_1(I,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(H) = k1_nat_1(E,1) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),H,I),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),I,H),B) ) => H = I ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m1_subset_1(J,k5_finsub_1(u1_struct_0(A))) => ! [K] : ( m1_subset_1(K,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(J) = E & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),J,K),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),K,J),B) ) => J = K ) ) ) ) ) ) )).
fof(s2_nat_1__e10_62_4__bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A))))) ) => ( ( ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(C) = k5_numbers & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),C,D),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),D,E),B) ) => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),C,E),B) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k5_finsub_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,k5_finsub_1(u1_struct_0(A))) => ! [I] : ( m1_subset_1(I,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(G) = F & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),G,H),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),H,I),B) ) => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),G,I),B) ) ) ) ) => ! [J] : ( m1_subset_1(J,k5_finsub_1(u1_struct_0(A))) => ! [K] : ( m1_subset_1(K,k5_finsub_1(u1_struct_0(A))) => ! [L] : ( m1_subset_1(L,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(J) = k1_nat_1(F,1) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),J,K),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),K,L),B) ) => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),J,L),B) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ( m1_subset_1(M,k5_finsub_1(u1_struct_0(A))) => ! [N] : ( m1_subset_1(N,k5_finsub_1(u1_struct_0(A))) => ! [O] : ( m1_subset_1(O,k5_finsub_1(u1_struct_0(A))) => ( ( k4_card_1(M) = F & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),M,N),B) & r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),N,O),B) ) => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),M,O),B) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e10_62__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_rewrite1(E,k4_subset_1(k2_zfmisc_1(A,A),B,k3_relset_1(A,A,B))) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(E)) => r2_hidden(k4_tarski(D,k1_funct_1(E,k5_numbers)),C) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(E)) => r2_hidden(k4_tarski(D,k1_funct_1(E,F)),C) ) => ( r2_tarski(k1_nat_1(F,1),k4_finseq_1(E)) => r2_hidden(k4_tarski(D,k1_funct_1(E,k1_nat_1(F,1))),C) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => r2_hidden(k4_tarski(D,k1_funct_1(E,F)),C) ) ) ) ) )).
fof(s2_nat_1__e10_71__glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( ( k4_card_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers))) = k4_nat_1(k1_nat_1(k5_numbers,1),k4_card_1(k1_glib_002(A,o_1_1_glib_004(A)))) & ! [B] : ( v7_ordinal1(B) => ( k4_card_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) = k4_nat_1(k1_nat_1(B,1),k4_card_1(k1_glib_002(A,o_1_1_glib_004(A)))) => k4_card_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1)))) = k4_nat_1(k1_nat_1(k1_nat_1(B,1),1),k4_card_1(k1_glib_002(A,o_1_1_glib_004(A)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k4_card_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) = k4_nat_1(k1_nat_1(B,1),k4_card_1(k1_glib_002(A,o_1_1_glib_004(A)))) ) ) ) )).
fof(s2_nat_1__e10_72__rvsum_1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & m2_finseq_1(B,k2_numbers) ) => ( ( k7_setwiseo(k4_ordinal1,k1_numbers,k9_binop_2,k2_setwop_2(k5_numbers),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k9_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(k5_numbers),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) & ! [C] : ( v7_ordinal1(C) => ( k7_setwiseo(k4_ordinal1,k1_numbers,k9_binop_2,k2_setwop_2(C),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k9_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(C),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) => k7_setwiseo(k4_ordinal1,k1_numbers,k9_binop_2,k2_setwop_2(k1_nat_1(C,1)),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k9_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(k1_nat_1(C,1)),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k7_setwiseo(k4_ordinal1,k1_numbers,k9_binop_2,k2_setwop_2(C),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k9_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k3_binop_2,k2_setwop_2(C),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k3_binop_2))) ) ) ) )).
fof(s2_nat_1__e10_73__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k7_xcmplx_0(1,k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(k5_numbers,2))),k6_real_1(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k5_numbers,1)),k8_nat_1(k1_numbers,k6_real_3(A),k5_numbers))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k7_xcmplx_0(1,k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,2))),k6_real_1(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),B))) => r1_xxreal_0(k7_xcmplx_0(1,k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(k1_nat_1(B,1),2))),k6_real_1(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k1_nat_1(B,1),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k7_xcmplx_0(1,k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,2))),k6_real_1(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),B))) ) ) ) )).
fof(s2_nat_1__e10_81__mycielsk,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( m1_mycielsk(k1_funct_1(A,k5_numbers),k7_nat_d(k3_xcmplx_0(3,k1_newton(2,k5_numbers)),1)) & k1_funct_1(A,k5_numbers) = k1_funct_1(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( ( m1_mycielsk(k1_funct_1(A,C),k7_nat_d(k3_xcmplx_0(3,k1_newton(2,C)),1)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) => ( m1_mycielsk(k1_funct_1(A,k1_nat_1(C,1)),k7_nat_d(k3_xcmplx_0(3,k1_newton(2,k1_nat_1(C,1))),1)) & k1_funct_1(A,k1_nat_1(C,1)) = k1_funct_1(B,k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( m1_mycielsk(k1_funct_1(A,C),k7_nat_d(k3_xcmplx_0(3,k1_newton(2,C)),1)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) )).
fof(s2_nat_1__e10_89_1_1_2__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_relat_1(B) & v5_relat_1(B,k2_numbers) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(B),k5_numbers) => k8_nat_1(k2_numbers,C,k5_numbers) = k3_xcmplx_0(k1_nat_1(k5_numbers,1),A) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k1_afinsq_1(B),D) => k8_nat_1(k2_numbers,C,D) = k3_xcmplx_0(k1_nat_1(D,1),A) ) => ( ~ r1_xxreal_0(k1_afinsq_1(B),k1_nat_1(D,1)) => k8_nat_1(k2_numbers,C,k1_nat_1(D,1)) = k3_xcmplx_0(k1_nat_1(k1_nat_1(D,1),1),A) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k1_afinsq_1(B),D) => k8_nat_1(k2_numbers,C,D) = k3_xcmplx_0(k1_nat_1(D,1),A) ) ) ) ) )).
fof(s2_nat_1__e10_96__rvsum_1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & m2_finseq_1(B,k2_numbers) ) => ( ( k7_setwiseo(k4_ordinal1,k1_numbers,k11_binop_2,k2_setwop_2(k5_numbers),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k11_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k5_binop_2,k2_setwop_2(k5_numbers),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k5_binop_2))) & ! [C] : ( v7_ordinal1(C) => ( k7_setwiseo(k4_ordinal1,k1_numbers,k11_binop_2,k2_setwop_2(C),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k11_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k5_binop_2,k2_setwop_2(C),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k5_binop_2))) => k7_setwiseo(k4_ordinal1,k1_numbers,k11_binop_2,k2_setwop_2(k1_nat_1(C,1)),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k11_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k5_binop_2,k2_setwop_2(k1_nat_1(C,1)),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k5_binop_2))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k7_setwiseo(k4_ordinal1,k1_numbers,k11_binop_2,k2_setwop_2(C),k1_setwop_2(k1_numbers,A,k3_binop_1(k1_numbers,k11_binop_2))) = k7_setwiseo(k4_ordinal1,k2_numbers,k5_binop_2,k2_setwop_2(C),k1_setwop_2(k2_numbers,B,k3_binop_1(k2_numbers,k5_binop_2))) ) ) ) )).
fof(s2_nat_1__e11_110_1__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k25_modelc_2(k43_modelc_2)) & v1_funct_1(C) & v1_funct_2(C,k22_modelc_3(A),k22_modelc_3(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A),k22_modelc_3(A)))) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k5_numbers) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,F),D),A))) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,E) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,G) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,H),D),A))) ) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),E) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k1_nat_1(G,1)) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,I),D),A))) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,E) => ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,G) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,J),D),A))) ) ) ) ) ) ) )).
fof(s2_nat_1__e11_115__prepower,axiom,( ( r1_xxreal_0(k5_numbers,k1_newton(2,k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(A,k1_newton(2,A)) => r1_xxreal_0(k1_nat_1(A,1),k1_newton(2,k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k1_newton(2,A)) ) )).
fof(s2_nat_1__e11_20__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) ) => ( ( k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k5_numbers,k1_nat_1(B,1)) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),k5_numbers,k1_nat_1(B,1)),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k5_numbers,B)) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),C,k1_nat_1(B,1)) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),C,k1_nat_1(B,1)),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),C,B)) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(C,1),k1_nat_1(B,1)) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),k1_nat_1(C,1),k1_nat_1(B,1)),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(C,1),B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),C,k1_nat_1(B,1)) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),C,k1_nat_1(B,1)),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),C,B)) ) ) ) )).
fof(s2_nat_1__e11_21__armstrng,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( ( ~ r1_xxreal_0(k5_numbers,A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(A,1),B) & r1_xxreal_0(B,k5_numbers) ) => k1_funct_1(k1_binari_3(k5_numbers,k5_series_1(2,A)),k1_nat_1(B,1)) = k6_margrel1 ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(A,1),D) & r1_xxreal_0(D,C) ) => k1_funct_1(k1_binari_3(C,k5_series_1(2,A)),k1_nat_1(D,1)) = k6_margrel1 ) ) ) => ( ~ r1_xxreal_0(k1_nat_1(C,1),A) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(A,1),E) & r1_xxreal_0(E,k1_nat_1(C,1)) ) => k1_funct_1(k1_binari_3(k1_nat_1(C,1),k5_series_1(2,A)),k1_nat_1(E,1)) = k6_margrel1 ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,A) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(A,1),F) & r1_xxreal_0(F,C) ) => k1_funct_1(k1_binari_3(C,k5_series_1(2,A)),k1_nat_1(F,1)) = k6_margrel1 ) ) ) ) ) ) )).
fof(s2_nat_1__e11_25_3_2__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( E = k5_numbers & ~ r1_xxreal_0(E,k5_numbers) & r2_tarski(k2_xcmplx_0(D,E),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,E)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,F))) & r2_tarski(F,k4_finseq_1(A)) & r1_xxreal_0(F,C) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( H = G & ~ r1_xxreal_0(H,k5_numbers) & r2_tarski(k2_xcmplx_0(D,H),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,H)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,I))) & r2_tarski(I,k4_finseq_1(A)) & r1_xxreal_0(I,C) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ~ ( J = k1_nat_1(G,1) & ~ r1_xxreal_0(J,k5_numbers) & r2_tarski(k2_xcmplx_0(D,J),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,J)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,K))) & r2_tarski(K,k4_finseq_1(A)) & r1_xxreal_0(K,C) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ~ ( L = G & ~ r1_xxreal_0(L,k5_numbers) & r2_tarski(k2_xcmplx_0(D,L),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,L)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,M))) & r2_tarski(M,k4_finseq_1(A)) & r1_xxreal_0(M,C) ) ) ) ) ) ) )).
fof(s2_nat_1__e11_26__clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ( ( k1_funct_1(k1_bhsp_4(A,k1_clopban4(A,k4_struct_0(A))),k5_numbers) = k5_struct_0(A) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k1_bhsp_4(A,k1_clopban4(A,k4_struct_0(A))),B) = k5_struct_0(A) => k1_funct_1(k1_bhsp_4(A,k1_clopban4(A,k4_struct_0(A))),k1_nat_1(B,1)) = k5_struct_0(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k1_bhsp_4(A,k1_clopban4(A,k4_struct_0(A))),B) = k5_struct_0(A) ) ) ) )).
fof(s2_nat_1__e11_27__jordan5c,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v7_ordinal1(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k2_xcmplx_0(B,k5_numbers),k3_finseq_1(A)) ) => r1_jordan5c(C,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,k5_numbers))) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k2_xcmplx_0(B,D),k3_finseq_1(A)) ) => r1_jordan5c(C,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,D))) ) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k2_xcmplx_0(B,k1_nat_1(D,1)),k3_finseq_1(A)) ) => r1_jordan5c(C,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,k1_nat_1(D,1)))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k2_xcmplx_0(B,D),k3_finseq_1(A)) ) => r1_jordan5c(C,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k2_xcmplx_0(B,D))) ) ) ) ) )).
fof(s2_nat_1__e11_29_3_1_2__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( E = k5_numbers & ~ r1_xxreal_0(E,k5_numbers) & r2_tarski(k2_xcmplx_0(D,E),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,E)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,F))) & r2_tarski(F,k2_finseq_1(k1_matrix_0(A))) & r1_xxreal_0(F,C) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( H = G & ~ r1_xxreal_0(H,k5_numbers) & r2_tarski(k2_xcmplx_0(D,H),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,H)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,I))) & r2_tarski(I,k2_finseq_1(k1_matrix_0(A))) & r1_xxreal_0(I,C) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ~ ( J = k1_nat_1(G,1) & ~ r1_xxreal_0(J,k5_numbers) & r2_tarski(k2_xcmplx_0(D,J),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,J)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,K))) & r2_tarski(K,k2_finseq_1(k1_matrix_0(A))) & r1_xxreal_0(K,C) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ~ ( L = G & ~ r1_xxreal_0(L,k5_numbers) & r2_tarski(k2_xcmplx_0(D,L),k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k2_xcmplx_0(D,L)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,M))) & r2_tarski(M,k2_finseq_1(k1_matrix_0(A))) & r1_xxreal_0(M,C) ) ) ) ) ) ) )).
fof(s2_nat_1__e11_2__fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,k9_setfam_1(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(C,k5_numbers),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,D),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,k5_numbers))) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k2_xcmplx_0(C,E),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,D),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,E))) ) => ( r1_xxreal_0(k2_xcmplx_0(C,k1_nat_1(E,1)),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,D),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,k1_nat_1(E,1)))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(C,E),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,D),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,E))) ) ) ) ) )).
fof(s2_nat_1__e11_33__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v7_ordinal1(B) ) => ( ( r2_tarski(k1_ordinal5(A,B),k1_ordinal5(A,k2_xcmplx_0(k1_nat_1(B,1),k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k1_ordinal5(A,B),k1_ordinal5(A,k2_xcmplx_0(k1_nat_1(B,1),C))) => r2_tarski(k1_ordinal5(A,B),k1_ordinal5(A,k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(k1_ordinal5(A,B),k1_ordinal5(A,k2_xcmplx_0(k1_nat_1(B,1),C))) ) ) ) )).
fof(s2_nat_1__e11_34__graph_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ( k1_recdef_1(A,k5_numbers) = 1 | k1_recdef_1(A,k5_numbers) = 2 ) & k1_recdef_1(A,k5_numbers) != k1_recdef_1(A,k1_nat_1(k5_numbers,1)) & ! [B] : ( v7_ordinal1(B) => ( ( ( k1_recdef_1(A,B) = 1 | k1_recdef_1(A,B) = 2 ) & k1_recdef_1(A,B) != k1_recdef_1(A,k1_nat_1(B,1)) ) => ( ( k1_recdef_1(A,k1_nat_1(B,1)) = 1 | k1_recdef_1(A,k1_nat_1(B,1)) = 2 ) & k1_recdef_1(A,k1_nat_1(B,1)) != k1_recdef_1(A,k1_nat_1(k1_nat_1(B,1),1)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ( k1_recdef_1(A,B) = 1 | k1_recdef_1(A,B) = 2 ) & k1_recdef_1(A,B) != k1_recdef_1(A,k1_nat_1(B,1)) ) ) ) ) )).
fof(s2_nat_1__e11_37_1__finseq_3,axiom,( ! [A] : ! [B] : ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,k14_finseq_1(B))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),k2_xcmplx_0(k3_finseq_1(k14_finseq_1(A)),k5_numbers)) = k1_funct_1(k14_finseq_1(B),k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(B))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),k2_xcmplx_0(k3_finseq_1(k14_finseq_1(A)),C)) = k1_funct_1(k14_finseq_1(B),C) ) => ( r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,k14_finseq_1(B))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),k2_xcmplx_0(k3_finseq_1(k14_finseq_1(A)),k1_nat_1(C,1))) = k1_funct_1(k14_finseq_1(B),k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(B))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),k2_xcmplx_0(k3_finseq_1(k14_finseq_1(A)),C)) = k1_funct_1(k14_finseq_1(B),C) ) ) ) )).
fof(s2_nat_1__e11_37__rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_numbers) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),C),k3_rlvect_x(A,B)) & k3_finseq_1(C) = k5_numbers & k3_finseq_1(C) = k3_finseq_1(E) & k3_finseq_1(C) = k3_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => k7_partfun1(u1_struct_0(A),D,F) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),C,F),k1_funct_1(E,F)) ) ) ) => r2_tarski(k4_rlvect_1(A,D),k3_rlvect_x(A,B)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k4_numbers) & v1_funct_1(J) & v1_finseq_1(J) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),H),k3_rlvect_x(A,B)) & k3_finseq_1(H) = G & k3_finseq_1(H) = k3_finseq_1(J) & k3_finseq_1(H) = k3_finseq_1(I) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k2_finseq_1(k3_finseq_1(H))) => k7_partfun1(u1_struct_0(A),I,K) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),H,K),k1_funct_1(J,K)) ) ) ) => r2_tarski(k4_rlvect_1(A,I),k3_rlvect_x(A,B)) ) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ! [N] : ( ( v1_relat_1(N) & v5_relat_1(N,k4_numbers) & v1_funct_1(N) & v1_finseq_1(N) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),L),k3_rlvect_x(A,B)) & k3_finseq_1(L) = k1_nat_1(G,1) & k3_finseq_1(L) = k3_finseq_1(N) & k3_finseq_1(L) = k3_finseq_1(M) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k2_finseq_1(k3_finseq_1(L))) => k7_partfun1(u1_struct_0(A),M,O) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),L,O),k1_funct_1(N,O)) ) ) ) => r2_tarski(k4_rlvect_1(A,M),k3_rlvect_x(A,B)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) => ! [R] : ( ( v1_relat_1(R) & v5_relat_1(R,k4_numbers) & v1_funct_1(R) & v1_finseq_1(R) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),P),k3_rlvect_x(A,B)) & k3_finseq_1(P) = G & k3_finseq_1(P) = k3_finseq_1(R) & k3_finseq_1(P) = k3_finseq_1(Q) & ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k2_finseq_1(k3_finseq_1(P))) => k7_partfun1(u1_struct_0(A),Q,S) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),P,S),k1_funct_1(R,S)) ) ) ) => r2_tarski(k4_rlvect_1(A,Q),k3_rlvect_x(A,B)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e11_40__mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => k9_relat_1(k8_funct_7(A,C),k1_funct_1(B,k5_numbers)) != k1_xboole_0 ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => k9_relat_1(k8_funct_7(A,E),k1_funct_1(B,D)) != k1_xboole_0 ) => ! [F] : ( v7_ordinal1(F) => k9_relat_1(k8_funct_7(A,F),k1_funct_1(B,k1_nat_1(D,1))) != k1_xboole_0 ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => k9_relat_1(k8_funct_7(A,G),k1_funct_1(B,D)) != k1_xboole_0 ) ) ) ) )).
fof(s2_nat_1__e11_41__substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & m1_subset_1(C,k9_qc_lang1(A)) & m1_substut2(D,A,C,B) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(D),1)) => m2_subset_1(k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),k5_numbers)),k9_qc_lang1(A),k3_cqc_lang(A)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k6_xcmplx_0(k3_finseq_1(D),1)) => m2_subset_1(k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),E)),k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k6_xcmplx_0(k3_finseq_1(D),1)) => m2_subset_1(k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),k1_nat_1(E,1))),k9_qc_lang1(A),k3_cqc_lang(A)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k6_xcmplx_0(k3_finseq_1(D),1)) => m2_subset_1(k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),E)),k9_qc_lang1(A),k3_cqc_lang(A)) ) ) ) ) )).
fof(s2_nat_1__e11_45__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(k9_aofa_000(A,B,k5_numbers),C) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k9_aofa_000(A,B,D),C) => r1_tarski(k9_aofa_000(A,B,k1_nat_1(D,1)),C) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k9_aofa_000(A,B,D),C) ) ) ) )).
fof(s2_nat_1__e11_47__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m1_subset_1(D,A) ) => ( ( r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers),D),k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),k5_numbers),D)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D),k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),E),D)) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(E,1)),D),k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),k1_nat_1(E,1)),D)) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D),k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),E),D)) ) ) ) )).
fof(s2_nat_1__e11_56_1_2_2__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(C),k5_numbers) => ( k1_card_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(k5_numbers,1))))) = k8_nat_1(k4_ordinal1,D,k5_numbers) & v1_finset_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(k5_numbers,1))))) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(k1_afinsq_1(C),E) => ( k1_card_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(E,1))))) = k8_nat_1(k4_ordinal1,D,E) & v1_finset_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(E,1))))) ) ) => ( ~ r1_xxreal_0(k1_afinsq_1(C),k1_nat_1(E,1)) => ( k1_card_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(k1_nat_1(E,1),1))))) = k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1)) & v1_finset_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(k1_nat_1(E,1),1))))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_afinsq_1(C),E) => ( k1_card_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(E,1))))) = k8_nat_1(k4_ordinal1,D,E) & v1_finset_1(k3_tarski(k2_relset_1(A,k5_relat_1(B,k1_nat_1(E,1))))) ) ) ) ) ) )).
fof(s2_nat_1__e11_56__scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_scmpds_4(D) & v3_scmpds_4(D) ) => ( ( k9_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)),k5_numbers),k4_card_1(C)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,k2_xcmplx_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B),k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( k9_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)),E),k4_card_1(C)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,k2_xcmplx_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B),E)) => k9_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)),k1_nat_1(E,1)),k4_card_1(C)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,k2_xcmplx_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B),k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => k9_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)),E),k4_card_1(C)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,k2_xcmplx_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B),E)) ) ) ) )).
fof(s2_nat_1__e11_57__pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),B,k8_pua2mss1(A,k6_pua2mss1(A),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),B,k8_pua2mss1(A,k6_pua2mss1(A),C)) => r1_relset_1(u1_struct_0(A),u1_struct_0(A),B,k8_pua2mss1(A,k6_pua2mss1(A),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_relset_1(u1_struct_0(A),u1_struct_0(A),B,k8_pua2mss1(A,k6_pua2mss1(A),C)) ) ) ) )).
fof(s2_nat_1__e11_61_1_1_2__uniroots,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k13_polynom3(k1_complfld))) => ( ( ~ ( r2_tarski(k5_numbers,k2_finseq_1(k3_finseq_1(A))) & ! [B] : ~ ? [C] : ( m2_finseq_1(C,u1_struct_0(k13_polynom3(k1_complfld))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(D,k1_complfld) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & C = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(k5_numbers)) & D = k3_group_4(k13_polynom3(k1_complfld),C) & B = D & ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),D,k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),D,k5_numbers) = k4_xcmplx_0(1) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),D,E)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(A))) & ! [G] : ~ ? [H] : ( m2_finseq_1(H,u1_struct_0(k13_polynom3(k1_complfld))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(I,k1_complfld) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & H = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(F)) & I = k3_group_4(k13_polynom3(k1_complfld),H) & G = I & ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),I,k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),I,k5_numbers) = k4_xcmplx_0(1) ) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),I,J)) ) ) ) ) => ~ ( r2_tarski(k1_nat_1(F,1),k2_finseq_1(k3_finseq_1(A))) & ! [K] : ~ ? [L] : ( m2_finseq_1(L,u1_struct_0(k13_polynom3(k1_complfld))) & ? [M] : ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(M,k1_complfld) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & L = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(k1_nat_1(F,1))) & M = k3_group_4(k13_polynom3(k1_complfld),L) & K = M & ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),M,k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),M,k5_numbers) = k4_xcmplx_0(1) ) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),M,N)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(A))) & ! [O] : ~ ? [P] : ( m2_finseq_1(P,u1_struct_0(k13_polynom3(k1_complfld))) & ? [Q] : ( v1_funct_1(Q) & v1_funct_2(Q,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(Q,k1_complfld) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & P = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(F)) & Q = k3_group_4(k13_polynom3(k1_complfld),P) & O = Q & ( k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),Q,k5_numbers) = 1 | k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),Q,k5_numbers) = k4_xcmplx_0(1) ) & ! [R] : ( m1_subset_1(R,k4_ordinal1) => v1_int_1(k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),Q,R)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e11_66_1_2__ltlaxio4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) & v7_ordinal1(C) & ~ v2_ltlaxio3(D) & v3_ltlaxio3(D) & m1_subset_1(D,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & m3_ltlaxio4(E,D) & m4_ltlaxio4(F,D,E) & m1_subset_1(G,k4_ordinal1) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,C) & ~ r1_xxreal_0(G,k5_numbers) & ~ r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),E,k12_ltlaxio4(D,E,F,k5_numbers))))) ) & ! [H] : ( v7_ordinal1(H) => ( ~ ( ~ r1_xxreal_0(H,C) & ~ r1_xxreal_0(G,H) & ~ r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),E,k12_ltlaxio4(D,E,F,H))))) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(H,1),C) & ~ r1_xxreal_0(G,k1_nat_1(H,1)) & ~ r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),E,k12_ltlaxio4(D,E,F,k1_nat_1(H,1)))))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ~ ( ~ r1_xxreal_0(H,C) & ~ r1_xxreal_0(G,H) & ~ r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(k3_trees_2(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),E,k12_ltlaxio4(D,E,F,H))))) ) ) ) ) )).
fof(s2_nat_1__e11_68_1_2__poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v6_orders_2(B,k6_poset_1(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( ~ v1_xboole_0(E) & v6_orders_2(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( D = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,k5_numbers),k3_yellow_0(A)) & E = a_2_1_poset_1(A,B) ) => r3_orders_2(A,D,k1_yellow_0(A,E)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( ( ~ v1_xboole_0(H) & v6_orders_2(H,A) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( G = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,F),k3_yellow_0(A)) & H = a_3_1_poset_1(A,B,F) ) => r3_orders_2(A,G,k1_yellow_0(A,H)) ) ) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( ( ~ v1_xboole_0(J) & v6_orders_2(J,A) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( I = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,k1_nat_1(F,1)),k3_yellow_0(A)) & J = a_3_3_poset_1(A,B,F) ) => r3_orders_2(A,I,k1_yellow_0(A,J)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( ( ~ v1_xboole_0(L) & v6_orders_2(L,A) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( K = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,F),k3_yellow_0(A)) & L = a_3_1_poset_1(A,B,F) ) => r3_orders_2(A,K,k1_yellow_0(A,L)) ) ) ) ) ) ) )).
fof(s2_nat_1__e11_71__hurwitz,axiom,( ( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( r1_xxreal_0(1,k2_hurwitz(k1_complfld,A)) & v1_hurwitz(A) & k2_hurwitz(k1_complfld,A) = k5_numbers ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( ~ ( ~ r1_xxreal_0(k5_numbers,k3_complex1(B)) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(A),B)),k9_complex1(k2_polynom4(k1_complfld,A,B))) ) & ~ ( ~ r1_xxreal_0(k3_complex1(B),k5_numbers) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,A,B)),k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(A),B))) ) & ( k3_complex1(B) = k5_numbers => k9_complex1(k2_polynom4(k1_complfld,A,B)) = k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(A),B)) ) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(D,k1_complfld) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( r1_xxreal_0(1,k2_hurwitz(k1_complfld,D)) & v1_hurwitz(D) & k2_hurwitz(k1_complfld,D) = C ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_complfld)) => ( ~ ( ~ r1_xxreal_0(k5_numbers,k3_complex1(E)) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(D),E)),k9_complex1(k2_polynom4(k1_complfld,D,E))) ) & ~ ( ~ r1_xxreal_0(k3_complex1(E),k5_numbers) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,D,E)),k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(D),E))) ) & ( k3_complex1(E) = k5_numbers => k9_complex1(k2_polynom4(k1_complfld,D,E)) = k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(D),E)) ) ) ) ) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(F,k1_complfld) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( r1_xxreal_0(1,k2_hurwitz(k1_complfld,F)) & v1_hurwitz(F) & k2_hurwitz(k1_complfld,F) = k1_nat_1(C,1) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k1_complfld)) => ( ~ ( ~ r1_xxreal_0(k5_numbers,k3_complex1(G)) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(F),G)),k9_complex1(k2_polynom4(k1_complfld,F,G))) ) & ~ ( ~ r1_xxreal_0(k3_complex1(G),k5_numbers) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,F,G)),k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(F),G))) ) & ( k3_complex1(G) = k5_numbers => k9_complex1(k2_polynom4(k1_complfld,F,G)) = k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(F),G)) ) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(H,k1_complfld) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( r1_xxreal_0(1,k2_hurwitz(k1_complfld,H)) & v1_hurwitz(H) & k2_hurwitz(k1_complfld,H) = C ) => ! [I] : ( m1_subset_1(I,u1_struct_0(k1_complfld)) => ( ~ ( ~ r1_xxreal_0(k5_numbers,k3_complex1(I)) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(H),I)),k9_complex1(k2_polynom4(k1_complfld,H,I))) ) & ~ ( ~ r1_xxreal_0(k3_complex1(I),k5_numbers) & r1_xxreal_0(k9_complex1(k2_polynom4(k1_complfld,H,I)),k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(H),I))) ) & ( k3_complex1(I) = k5_numbers => k9_complex1(k2_polynom4(k1_complfld,H,I)) = k9_complex1(k2_polynom4(k1_complfld,k7_hurwitz(H),I)) ) ) ) ) ) ) )).
fof(s2_nat_1__e11_74_1__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v8_rewrite1(A) & v1_relat_1(B) & v8_rewrite1(B) & m1_rewrite1(D,k2_xboole_0(A,B)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(D)) => r5_rewrite1(k2_xboole_0(A,B),k1_funct_1(D,k5_numbers),C) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(D)) => r5_rewrite1(k2_xboole_0(A,B),k1_funct_1(D,E),C) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(D)) => r5_rewrite1(k2_xboole_0(A,B),k1_funct_1(D,k1_nat_1(E,1)),C) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => r5_rewrite1(k2_xboole_0(A,B),k1_funct_1(D,E),C) ) ) ) ) )).
fof(s2_nat_1__e11_74__ordinal5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_ordinal2(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) ) => ( ( ( r2_tarski(k5_numbers,k1_ordinal1(k2_afinsq_1(A))) => k1_funct_1(B,k5_numbers) = k1_funct_1(C,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(k2_afinsq_1(A))) => k1_funct_1(B,D) = k1_funct_1(C,D) ) => ( r2_tarski(k1_nat_1(D,1),k1_ordinal1(k2_afinsq_1(A))) => k1_funct_1(B,k1_nat_1(D,1)) = k1_funct_1(C,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_ordinal1(k2_afinsq_1(A))) => k1_funct_1(B,D) = k1_funct_1(C,D) ) ) ) ) )).
fof(s2_nat_1__e11_94__lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k1_recdef_1(C,k5_numbers),D) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(k5_numbers)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,D),k1_normsp_0(A,B,k1_recdef_1(C,k5_numbers))))) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(k1_recdef_1(C,E),F) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(E)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,F),k1_normsp_0(A,B,k1_recdef_1(C,E))))) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(k1_recdef_1(C,k1_nat_1(E,1)),G) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(k1_nat_1(E,1))),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,G),k1_normsp_0(A,B,k1_recdef_1(C,k1_nat_1(E,1)))))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(k1_recdef_1(C,E),H) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(E)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,H),k1_normsp_0(A,B,k1_recdef_1(C,E))))) ) ) ) ) ) )).
fof(s2_nat_1__e12_143__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_aofa_000(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,B) & ~ v1_xboole_0(G) & m2_finseq_1(G,B) ) => ( ( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),k3_finseq_1(G)) => r2_tarski(k1_funct_1(G,k1_nat_1(k5_numbers,1)),k5_aofa_000(k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),F)) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(G)) => r2_tarski(k1_funct_1(G,k1_nat_1(H,1)),k5_aofa_000(k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),F)) ) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(H,1),1),k3_finseq_1(G)) => r2_tarski(k1_funct_1(G,k1_nat_1(k1_nat_1(H,1),1)),k5_aofa_000(k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),F)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(G)) => r2_tarski(k1_funct_1(G,k1_nat_1(H,1)),k5_aofa_000(k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),F)) ) ) ) ) )).
fof(s2_nat_1__e12_16__scmisort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(E) ) => ( ( ~ ( r1_xxreal_0(k1_nat_1(k5_numbers,1),E) & ! [F] : ( v7_ordinal1(F) => ~ r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(k5_numbers,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,B)),k1_scmfsa_m(D),F)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r1_xxreal_0(k1_nat_1(G,1),E) & ! [H] : ( v7_ordinal1(H) => ~ r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(G,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,B)),k1_scmfsa_m(D),H)) ) ) => ~ ( r1_xxreal_0(k1_nat_1(k1_nat_1(G,1),1),E) & ! [I] : ( v7_ordinal1(I) => ~ r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(k1_nat_1(G,1),1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,B)),k1_scmfsa_m(D),I)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(k1_nat_1(G,1),E) & ! [J] : ( v7_ordinal1(J) => ~ r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(G,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,B)),k1_scmfsa_m(D),J)) ) ) ) ) ) )).
fof(s2_nat_1__e12_177__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(C) & m2_finseq_1(C,A) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) => r2_tarski(k1_funct_1(C,k1_nat_1(k5_numbers,1)),B) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k3_finseq_1(C),D) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),B) ) => ( ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(D,1)) => r2_tarski(k1_funct_1(C,k1_nat_1(k1_nat_1(D,1),1)),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(C),D) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),B) ) ) ) ) )).
fof(s2_nat_1__e12_178__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(C) & m2_finseq_1(C,A) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(k5_numbers,1)) => r2_tarski(k1_funct_1(C,k1_nat_1(k5_numbers,1)),B) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(D,1)) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),B) ) => ( ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(k1_nat_1(D,1),1)) => r2_tarski(k1_funct_1(C,k1_nat_1(k1_nat_1(D,1),1)),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(D,1)) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),B) ) ) ) ) )).
fof(s2_nat_1__e12_19_1_2__numeral2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_int_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(A),k5_numbers) => r1_int_1(B,k8_nat_1(k4_numbers,C,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k1_afinsq_1(A),D) => r1_int_1(B,k8_nat_1(k4_numbers,C,D)) ) => ( ~ r1_xxreal_0(k1_afinsq_1(A),k1_nat_1(D,1)) => r1_int_1(B,k8_nat_1(k4_numbers,C,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k1_afinsq_1(A),D) => r1_int_1(B,k8_nat_1(k4_numbers,C,D)) ) ) ) ) )).
fof(s2_nat_1__e12_19__scpqsort,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k1_funct_1(C,k2_scmp_gcd) = k5_numbers & k1_funct_1(C,k1_scmp_gcd(5)) = k1_nat_1(k5_numbers,1) & k1_funct_1(C,k1_scmp_gcd(4)) = k2_xcmplx_0(A,k1_funct_1(C,k1_scmp_gcd(5))) & k1_funct_1(C,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(1)) = k1_funct_1(C,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(5)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(2)) = k1_funct_1(C,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(3)) = k1_funct_1(C,k1_scmp_gcd(3)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(8,E) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(E)) = k1_funct_1(C,k1_scmp_gcd(E)) ) ) & ? [E] : ( v7_ordinal1(E) & E = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(7)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(4)) = k2_xcmplx_0(A,E) & r1_xxreal_0(E,k1_funct_1(C,k1_scmp_gcd(5))) & ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(F,k2_xcmplx_0(A,E)) & r1_xxreal_0(F,k1_funct_1(C,k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(F)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(B))) ) ) & ( E = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(k2_xcmplx_0(A,E))),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),C,D),k1_scmp_gcd(B))) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmpds_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( k1_funct_1(H,k2_scmp_gcd) = k5_numbers & k1_funct_1(H,k1_scmp_gcd(5)) = k1_nat_1(G,1) & k1_funct_1(H,k1_scmp_gcd(4)) = k2_xcmplx_0(A,k1_funct_1(H,k1_scmp_gcd(5))) & k1_funct_1(H,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(1)) = k1_funct_1(H,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(5)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(2)) = k1_funct_1(H,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(3)) = k1_funct_1(H,k1_scmp_gcd(3)) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(8,J) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(J)) = k1_funct_1(H,k1_scmp_gcd(J)) ) ) & ? [J] : ( v7_ordinal1(J) & J = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(7)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(4)) = k2_xcmplx_0(A,J) & r1_xxreal_0(J,k1_funct_1(H,k1_scmp_gcd(5))) & ! [K] : ( v7_ordinal1(K) => ~ ( ~ r1_xxreal_0(K,k2_xcmplx_0(A,J)) & r1_xxreal_0(K,k1_funct_1(H,k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(K)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(B))) ) ) & ( J = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(k2_xcmplx_0(A,J))),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),H,I),k1_scmp_gcd(B))) ) ) ) ) ) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(L,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( k1_funct_1(L,k2_scmp_gcd) = k5_numbers & k1_funct_1(L,k1_scmp_gcd(5)) = k1_nat_1(k1_nat_1(G,1),1) & k1_funct_1(L,k1_scmp_gcd(4)) = k2_xcmplx_0(A,k1_funct_1(L,k1_scmp_gcd(5))) & k1_funct_1(L,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(1)) = k1_funct_1(L,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(5)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(2)) = k1_funct_1(L,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(3)) = k1_funct_1(L,k1_scmp_gcd(3)) & ! [N] : ( v7_ordinal1(N) => ( r1_xxreal_0(8,N) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(N)) = k1_funct_1(L,k1_scmp_gcd(N)) ) ) & ? [N] : ( v7_ordinal1(N) & N = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(7)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(4)) = k2_xcmplx_0(A,N) & r1_xxreal_0(N,k1_funct_1(L,k1_scmp_gcd(5))) & ! [O] : ( v7_ordinal1(O) => ~ ( ~ r1_xxreal_0(O,k2_xcmplx_0(A,N)) & r1_xxreal_0(O,k1_funct_1(L,k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(O)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(B))) ) ) & ( N = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(k2_xcmplx_0(A,N))),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),L,M),k1_scmp_gcd(B))) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,u1_struct_0(k1_scmpds_2)) & v1_funct_1(P) & v5_funct_1(P,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(P,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(P,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,k4_ordinal1) & v5_relat_1(Q,u1_compos_1(k1_scmpds_2)) & v1_funct_1(Q) & v1_partfun1(Q,k4_ordinal1) ) => ( ( k1_funct_1(P,k2_scmp_gcd) = k5_numbers & k1_funct_1(P,k1_scmp_gcd(5)) = k1_nat_1(G,1) & k1_funct_1(P,k1_scmp_gcd(4)) = k2_xcmplx_0(A,k1_funct_1(P,k1_scmp_gcd(5))) & k1_funct_1(P,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(1)) = k1_funct_1(P,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(5)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(2)) = k1_funct_1(P,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(3)) = k1_funct_1(P,k1_scmp_gcd(3)) & ! [R] : ( v7_ordinal1(R) => ( r1_xxreal_0(8,R) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(R)) = k1_funct_1(P,k1_scmp_gcd(R)) ) ) & ? [R] : ( v7_ordinal1(R) & R = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(7)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(4)) = k2_xcmplx_0(A,R) & r1_xxreal_0(R,k1_funct_1(P,k1_scmp_gcd(5))) & ! [S] : ( v7_ordinal1(S) => ~ ( ~ r1_xxreal_0(S,k2_xcmplx_0(A,R)) & r1_xxreal_0(S,k1_funct_1(P,k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(S)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(B))) ) ) & ( R = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(k2_xcmplx_0(A,R))),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),P,Q),k1_scmp_gcd(B))) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_20__scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v7_ordinal1(F) ) => ( ( ( r1_xxreal_0(k5_numbers,k2_scmfsa8a(C,A,E)) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,k2_scmfsa8a(C,A,E)) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),k2_scmfsa8a(C,A,E)) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1))),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(G,1))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(G,1))) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k2_scmfsa8a(C,A,E)) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) ) ) ) ) ) )).
fof(s2_nat_1__e12_29__abcmiz_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( r1_tarski(k1_funct_1(A,k5_numbers),k4_classes1(k4_ordinal1)) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k1_funct_1(A,B),k4_classes1(k4_ordinal1)) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k4_classes1(k4_ordinal1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(A,B),k4_classes1(k4_ordinal1)) ) ) ) )).
fof(s2_nat_1__e12_2_1_2__numeral1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(A),k5_numbers) => r1_nat_d(B,k1_recdef_1(C,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k1_afinsq_1(A),D) => r1_nat_d(B,k1_recdef_1(C,D)) ) => ( ~ r1_xxreal_0(k1_afinsq_1(A),k1_nat_1(D,1)) => r1_nat_d(B,k1_recdef_1(C,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k1_afinsq_1(A),D) => r1_nat_d(B,k1_recdef_1(C,D)) ) ) ) ) )).
fof(s2_nat_1__e12_30__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( ( ( r2_tarski(k5_numbers,k4_finseq_1(D)) & r1_xxreal_0(k5_numbers,A) ) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k2_finseq_1(k1_matrix_0(C))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,k5_numbers),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),C,E))) ) => r1_xxreal_0(E,B) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r2_tarski(F,k4_finseq_1(D)) & r1_xxreal_0(F,A) ) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k2_finseq_1(k1_matrix_0(C))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,F),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),C,G))) ) => r1_xxreal_0(G,B) ) ) ) => ( ( r2_tarski(k1_nat_1(F,1),k4_finseq_1(D)) & r1_xxreal_0(k1_nat_1(F,1),A) ) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k2_finseq_1(k1_matrix_0(C))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,k1_nat_1(F,1)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),C,H))) ) => r1_xxreal_0(H,B) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(D)) & r1_xxreal_0(F,A) ) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k2_finseq_1(k1_matrix_0(C))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,F),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),C,I))) ) => r1_xxreal_0(I,B) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_35__calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m2_finseq_1(B,k3_cqc_lang(A)) & m2_finseq_1(C,k3_cqc_lang(A)) & m2_finseq_1(D,k3_cqc_lang(A)) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(D)) & ! [E] : ( m2_finseq_1(E,k3_cqc_lang(A)) => ! [F] : ( m2_finseq_1(F,k3_cqc_lang(A)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( k1_nat_1(k5_numbers,G) = k3_finseq_1(k8_finseq_1(k3_cqc_lang(A),B,C)) & r2_relset_1(k4_ordinal1,k3_cqc_lang(A),E,k5_relset_1(k4_ordinal1,k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),B,C),k2_finseq_1(G))) & F = k7_finseq_1(E,k9_finseq_1(k1_funct_1(D,k5_numbers))) & r4_calcul_1(A,F) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ~ ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(D)) & ! [I] : ( m2_finseq_1(I,k3_cqc_lang(A)) => ! [J] : ( m2_finseq_1(J,k3_cqc_lang(A)) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ~ ( k1_nat_1(H,K) = k3_finseq_1(k8_finseq_1(k3_cqc_lang(A),B,C)) & r2_relset_1(k4_ordinal1,k3_cqc_lang(A),I,k5_relset_1(k4_ordinal1,k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),B,C),k2_finseq_1(K))) & J = k7_finseq_1(I,k9_finseq_1(k1_funct_1(D,H))) & r4_calcul_1(A,J) ) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(D)) & ! [L] : ( m2_finseq_1(L,k3_cqc_lang(A)) => ! [M] : ( m2_finseq_1(M,k3_cqc_lang(A)) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => ~ ( k1_nat_1(k1_nat_1(H,1),N) = k3_finseq_1(k8_finseq_1(k3_cqc_lang(A),B,C)) & r2_relset_1(k4_ordinal1,k3_cqc_lang(A),L,k5_relset_1(k4_ordinal1,k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),B,C),k2_finseq_1(N))) & M = k7_finseq_1(L,k9_finseq_1(k1_funct_1(D,k1_nat_1(H,1)))) & r4_calcul_1(A,M) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(D)) & ! [O] : ( m2_finseq_1(O,k3_cqc_lang(A)) => ! [P] : ( m2_finseq_1(P,k3_cqc_lang(A)) => ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ~ ( k1_nat_1(H,Q) = k3_finseq_1(k8_finseq_1(k3_cqc_lang(A),B,C)) & r2_relset_1(k4_ordinal1,k3_cqc_lang(A),O,k5_relset_1(k4_ordinal1,k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),B,C),k2_finseq_1(Q))) & P = k7_finseq_1(O,k9_finseq_1(k1_funct_1(D,H))) & r4_calcul_1(A,P) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_36__calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m2_finseq_1(B,k3_cqc_lang(A)) & v1_funct_1(C) & v1_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) & m2_finseq_1(D,k3_cqc_lang(A)) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( E = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),k5_numbers) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k3_calcul_2(k3_cqc_lang(A),B,C),k12_finseq_1(k3_cqc_lang(A),E))) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( G = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),F) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k3_calcul_2(k3_cqc_lang(A),B,C),k12_finseq_1(k3_cqc_lang(A),G))) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( H = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),k1_nat_1(F,1)) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k3_calcul_2(k3_cqc_lang(A),B,C),k12_finseq_1(k3_cqc_lang(A),H))) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( I = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),F) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k3_calcul_2(k3_cqc_lang(A),B,C),k12_finseq_1(k3_cqc_lang(A),I))) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_3__afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( ( ? [B] : ( v7_ordinal1(B) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k5_card_1(k5_numbers)) & r2_tarski(k7_nat_d(k5_numbers,1),k1_relset_1(k4_ordinal1,A)) ) => r2_tarski(k1_recdef_1(A,C),B) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v7_ordinal1(E) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k5_card_1(D)) & r2_tarski(k7_nat_d(D,1),k1_relset_1(k4_ordinal1,A)) ) => r2_tarski(k1_recdef_1(A,F),E) ) ) ) => ? [G] : ( v7_ordinal1(G) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k5_card_1(k1_nat_1(D,1))) & r2_tarski(k7_nat_d(k1_nat_1(D,1),1),k1_relset_1(k4_ordinal1,A)) ) => r2_tarski(k1_recdef_1(A,H),G) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [I] : ( v7_ordinal1(I) & ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(J,k5_card_1(D)) & r2_tarski(k7_nat_d(D,1),k1_relset_1(k4_ordinal1,A)) ) => r2_tarski(k1_recdef_1(A,J),I) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_40__substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & m1_subset_1(C,k9_qc_lang1(A)) & m1_substut2(D,A,B,C) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(D),1)) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ~ ( E = k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),k5_numbers)) & r2_qc_lang2(A,E,C) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) & ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ~ ( G = k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),F)) & r2_qc_lang2(A,G,C) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(D),1)) & ! [H] : ( m1_subset_1(H,k9_qc_lang1(A)) => ~ ( H = k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),k1_nat_1(F,1))) & r2_qc_lang2(A,H,C) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) & ! [I] : ( m1_subset_1(I,k9_qc_lang1(A)) => ~ ( I = k1_funct_1(D,k6_xcmplx_0(k3_finseq_1(D),F)) & r2_qc_lang2(A,I,C) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_45_1_1_1_1_5_1_2__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(E,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( ( ( ~ r1_xxreal_0(D,k2_xcmplx_0(1,k5_numbers)) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,C)),k2_xcmplx_0(1,k5_numbers)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(1,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(D,k2_xcmplx_0(1,F)) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,C)),k2_xcmplx_0(1,F)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(1,F)) ) => ( ~ r1_xxreal_0(D,k2_xcmplx_0(1,k1_nat_1(F,1))) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,C)),k2_xcmplx_0(1,k1_nat_1(F,1))) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(1,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(D,k2_xcmplx_0(1,F)) => k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,C)),k2_xcmplx_0(1,F)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,E)),k2_xcmplx_0(1,F)) ) ) ) ) )).
fof(s2_nat_1__e12_4_2_2__bhsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_relat_1(D) & v1_funct_1(D) ) => ( ( v1_finset_1(k1_funct_1(D,k5_numbers)) & m1_subset_1(k1_funct_1(D,k5_numbers),k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(k1_funct_1(D,k5_numbers)) & r1_tarski(k1_funct_1(D,k5_numbers),B) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(E) & r1_tarski(E,B) & r1_xboole_0(k1_funct_1(D,k5_numbers),E) & r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(k5_numbers,1)),k9_complex1(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,E,C))) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(k5_numbers,E) => r1_tarski(k1_funct_1(D,k5_numbers),k1_funct_1(D,E)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( v1_finset_1(k1_funct_1(D,F)) & m1_subset_1(k1_funct_1(D,F),k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(k1_funct_1(D,F)) & r1_tarski(k1_funct_1(D,F),B) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(G) & r1_tarski(G,B) & r1_xboole_0(k1_funct_1(D,F),G) & r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,G,C))) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(F,G) => r1_tarski(k1_funct_1(D,F),k1_funct_1(D,G)) ) ) ) => ( v1_finset_1(k1_funct_1(D,k1_nat_1(F,1))) & m1_subset_1(k1_funct_1(D,k1_nat_1(F,1)),k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(k1_funct_1(D,k1_nat_1(F,1))) & r1_tarski(k1_funct_1(D,k1_nat_1(F,1)),B) & ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(H) & r1_tarski(H,B) & r1_xboole_0(k1_funct_1(D,k1_nat_1(F,1)),H) & r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(k1_nat_1(F,1),1)),k9_complex1(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,H,C))) ) ) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r1_xxreal_0(k1_nat_1(F,1),H) => r1_tarski(k1_funct_1(D,k1_nat_1(F,1)),k1_funct_1(D,H)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( v1_finset_1(k1_funct_1(D,F)) & m1_subset_1(k1_funct_1(D,F),k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(k1_funct_1(D,F)) & r1_tarski(k1_funct_1(D,F),B) & ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(I) & r1_tarski(I,B) & r1_xboole_0(k1_funct_1(D,F),I) & r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,I,C))) ) ) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( r1_xxreal_0(F,I) => r1_tarski(k1_funct_1(D,F),k1_funct_1(D,I)) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_63_1__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(A)),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) & k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(A)),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k3_xcmplx_0(2,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ( k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(A)),B) = k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k1_nat_1(k3_xcmplx_0(2,B),1)) & k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(A)),B) = k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k3_xcmplx_0(2,B)) ) => ( k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(A)),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)) & k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(A)),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k3_xcmplx_0(2,k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(A)),B) = k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k1_nat_1(k3_xcmplx_0(2,B),1)) & k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(A)),B) = k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k3_xcmplx_0(2,B)) ) ) ) ) )).
fof(s2_nat_1__e12_63__polynom5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(k13_polynom3(A))) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( E = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),k5_numbers,D)) => k2_polynom4(A,E,B) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k5_numbers,C)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( G = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),F,D)) => k2_polynom4(A,G,B) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),F,C)) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( H = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),k1_nat_1(F,1),D)) => k2_polynom4(A,H,B) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k1_nat_1(F,1),C)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( I = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),F,D)) => k2_polynom4(A,I,B) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),F,C)) ) ) ) ) ) )).
fof(s2_nat_1__e12_67__monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ( ( k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(k5_numbers,k4_ordinal1),B)),C) = k5_numbers & ! [D] : ( v7_ordinal1(D) => ( k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(D,k4_ordinal1),B)),C) = k5_numbers => k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(k1_nat_1(D,1),k4_ordinal1),B)),C) = k5_numbers ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(D,k4_ordinal1),B)),C) = k5_numbers ) ) ) )).
fof(s2_nat_1__e12_74__abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_abcmiz_0(A)) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(D,k5_numbers),k3_finseq_1(k7_abcmiz_0(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F = k1_funct_1(k7_abcmiz_0(A,B,C),k2_xcmplx_0(D,k5_numbers)) => r3_orders_2(A,F,E) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(k2_xcmplx_0(D,G),k3_finseq_1(k7_abcmiz_0(A,B,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( H = k1_funct_1(k7_abcmiz_0(A,B,C),k2_xcmplx_0(D,G)) => r3_orders_2(A,H,E) ) ) ) => ( r1_xxreal_0(k2_xcmplx_0(D,k1_nat_1(G,1)),k3_finseq_1(k7_abcmiz_0(A,B,C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( I = k1_funct_1(k7_abcmiz_0(A,B,C),k2_xcmplx_0(D,k1_nat_1(G,1))) => r3_orders_2(A,I,E) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k2_xcmplx_0(D,G),k3_finseq_1(k7_abcmiz_0(A,B,C))) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( J = k1_funct_1(k7_abcmiz_0(A,B,C),k2_xcmplx_0(D,G)) => r3_orders_2(A,J,E) ) ) ) ) ) ) )).
fof(s2_nat_1__e12_80__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_relat_1(B) & m1_rewrite1(D,k2_xboole_0(k2_xboole_0(A,B),k2_relat_1(k2_xboole_0(A,B)))) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,E)) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,E)) ) ) ) ) )).
fof(s2_nat_1__e12_86__pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ~ v1_xboole_0(D) & m2_finseq_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),k5_numbers),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),F))) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),F))) ) ) ) ) )).
fof(s2_nat_1__e12_9__bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k8_nat_1(u1_struct_0(A),C,k5_numbers) = k8_nat_1(u1_struct_0(A),D,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => k8_nat_1(u1_struct_0(A),C,E) = k8_nat_1(u1_struct_0(A),D,E) ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => k8_nat_1(u1_struct_0(A),C,k1_nat_1(E,1)) = k8_nat_1(u1_struct_0(A),D,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k8_nat_1(u1_struct_0(A),C,E) = k8_nat_1(u1_struct_0(A),D,E) ) ) ) ) )).
fof(s2_nat_1__e13_17_1_1__uniform1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v7_ordinal1(B) ) => ( ( ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,k5_numbers)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,k5_numbers))),k7_partfun1(k1_numbers,A,B)) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,C)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,C))),k7_partfun1(k1_numbers,A,B)) ) => ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,k1_nat_1(C,1))),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,k1_nat_1(C,1)))),k7_partfun1(k1_numbers,A,B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,C)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,C))),k7_partfun1(k1_numbers,A,B)) ) ) ) ) )).
fof(s2_nat_1__e13_17_1__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) ) => ( ( k1_binop_1(k3_dblseq_2(A),k5_numbers,B) = k1_binop_1(k2_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k3_dblseq_2(A),C,B) = k1_binop_1(k2_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),B,C) => k1_binop_1(k3_dblseq_2(A),k1_nat_1(C,1),B) = k1_binop_1(k2_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k3_dblseq_2(A),C,B) = k1_binop_1(k2_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),B,C) ) ) ) )).
fof(s2_nat_1__e13_18_1_1__uniform1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & m1_subset_1(B,k4_ordinal1) ) => ( ( ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,k5_numbers)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,B),k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,k5_numbers)))) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,C)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,B),k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,C)))) ) => ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,k1_nat_1(C,1))),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,B),k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,k1_nat_1(C,1))))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,C)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,B),k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,C)))) ) ) ) ) )).
fof(s2_nat_1__e13_1__scmfsa_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & ~ v2_compos_1(B,k1_scmfsa_2) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(C) & v4_extpro_1(C,k5_card_1(3),k1_scmfsa_2,B) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k5_numbers)),A) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k5_numbers)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k5_numbers)),A) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,G,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k5_numbers)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k5_numbers),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k5_numbers),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k1_funct_4(D,k6_memstr_0(k5_card_1(3),k1_scmfsa_2,E)),k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k5_numbers)) & ! [H] : ( v7_ordinal1(H) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),A) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),A) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,G,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k1_funct_4(D,k6_memstr_0(k5_card_1(3),k1_scmfsa_2,E)),H)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k1_nat_1(H,1))),A) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k1_nat_1(H,1))) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k1_nat_1(H,1))),A) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,G,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k1_nat_1(H,1))) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k1_nat_1(H,1)),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k1_nat_1(H,1)),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k1_funct_4(D,k6_memstr_0(k5_card_1(3),k1_scmfsa_2,E)),k1_nat_1(H,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,k1_nat_1(H,1))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),A) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),A) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,G,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k1_funct_4(D,k6_memstr_0(k5_card_1(3),k1_scmfsa_2,E)),H)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) ) ) ) ) )).
fof(s2_nat_1__e13_22__msualg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u4_struct_0(A)) & v2_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_subset_1(E,k3_msualg_1(A,C,B)) ) => ( ( ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ( k3_finseq_1(F) = k5_numbers & k3_finseq_1(F) = k3_finseq_1(G) & E = k7_finseq_1(F,H) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(F)) => r2_hidden(k4_tarski(k1_funct_1(E,I),k1_funct_1(k7_finseq_1(G,H),I)),k2_msualg_4(A,B,D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),I))) ) ) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),E),k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(G,H))),k2_msualg_4(A,B,D,k2_msualg_1(A,C))) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) ) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) ) => ( ( k3_finseq_1(K) = J & k3_finseq_1(K) = k3_finseq_1(L) & E = k7_finseq_1(K,M) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(K)) => r2_hidden(k4_tarski(k1_funct_1(E,N),k1_funct_1(k7_finseq_1(L,M),N)),k2_msualg_4(A,B,D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),N))) ) ) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),E),k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(L,M))),k2_msualg_4(A,B,D,k2_msualg_1(A,C))) ) ) ) ) => ! [O] : ( ( v1_relat_1(O) & v1_funct_1(O) & v1_finseq_1(O) ) => ! [P] : ( ( v1_relat_1(P) & v1_funct_1(P) & v1_finseq_1(P) ) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ( ( k3_finseq_1(O) = k1_nat_1(J,1) & k3_finseq_1(O) = k3_finseq_1(P) & E = k7_finseq_1(O,Q) & ! [R] : ( v7_ordinal1(R) => ( r2_tarski(R,k4_finseq_1(O)) => r2_hidden(k4_tarski(k1_funct_1(E,R),k1_funct_1(k7_finseq_1(P,Q),R)),k2_msualg_4(A,B,D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),R))) ) ) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),E),k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(P,Q))),k2_msualg_4(A,B,D,k2_msualg_1(A,C))) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [S] : ( ( v1_relat_1(S) & v1_funct_1(S) & v1_finseq_1(S) ) => ! [T] : ( ( v1_relat_1(T) & v1_funct_1(T) & v1_finseq_1(T) ) => ! [U] : ( ( v1_relat_1(U) & v1_funct_1(U) & v1_finseq_1(U) ) => ( ( k3_finseq_1(S) = J & k3_finseq_1(S) = k3_finseq_1(T) & E = k7_finseq_1(S,U) & ! [V] : ( v7_ordinal1(V) => ( r2_tarski(V,k4_finseq_1(S)) => r2_hidden(k4_tarski(k1_funct_1(E,V),k1_funct_1(k7_finseq_1(T,U),V)),k2_msualg_4(A,B,D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),V))) ) ) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),E),k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(T,U))),k2_msualg_4(A,B,D,k2_msualg_1(A,C))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e13_22__scmpds_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,k5_numbers)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) | k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,k5_numbers)) = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,A),1) ) & ! [C] : ( v7_ordinal1(C) => ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,C)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) | k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,C)) = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,A),1) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,k1_nat_1(C,1))) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) | k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,k1_nat_1(C,1))) = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,A),1) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,C)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) | k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,A,C)) = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,A),1) ) ) ) ) )).
fof(s2_nat_1__e13_23__mfold_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m2_finseq_1(B,u1_struct_0(k15_euclid(A))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,k5_numbers) = k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))),E,k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,F) = k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))),E,F) ) => ( r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,k1_nat_1(F,1)) = k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))),E,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,F) = k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))),E,F) ) ) ) ) )).
fof(s2_nat_1__e13_25__pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) & m2_finseq_1(D,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) ) => ( ( ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => ( k4_card_3(E) = k1_funct_1(D,k5_numbers) => k3_pencil_1(A,C) = k3_pencil_1(A,E) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( ~ v13_pencil_1(G) & v16_pencil_1(G,A) & m3_pboole(G,A,k12_pralg_1(A,B)) ) => ( k4_card_3(G) = k1_funct_1(D,F) => k3_pencil_1(A,C) = k3_pencil_1(A,G) ) ) => ! [H] : ( ( ~ v13_pencil_1(H) & v16_pencil_1(H,A) & m3_pboole(H,A,k12_pralg_1(A,B)) ) => ( k4_card_3(H) = k1_funct_1(D,k1_nat_1(F,1)) => k3_pencil_1(A,C) = k3_pencil_1(A,H) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( ~ v13_pencil_1(I) & v16_pencil_1(I,A) & m3_pboole(I,A,k12_pralg_1(A,B)) ) => ( k4_card_3(I) = k1_funct_1(D,F) => k3_pencil_1(A,C) = k3_pencil_1(A,I) ) ) ) ) ) )).
fof(s2_nat_1__e13_25__scpqsort,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k1_funct_1(C,k2_scmp_gcd) = k5_numbers & k1_funct_1(C,k1_scmp_gcd(7)) = k1_nat_1(k5_numbers,1) & k2_xcmplx_0(k1_funct_1(C,k1_scmp_gcd(3)),k1_funct_1(C,k1_scmp_gcd(7))) = A & r1_xxreal_0(8,k1_funct_1(C,k1_scmp_gcd(3))) & k1_funct_1(C,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(1)) = k1_funct_1(C,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(7)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(2)) = k1_funct_1(C,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(4)) = k1_funct_1(C,k1_scmp_gcd(4)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(8,E) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(E)) = k1_funct_1(C,k1_scmp_gcd(E)) ) ) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & E = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(5)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(3)) = F & k2_xcmplx_0(F,E) = A & r1_xxreal_0(E,k1_funct_1(C,k1_scmp_gcd(7))) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(k1_funct_1(C,k1_scmp_gcd(3)),G) & ~ r1_xxreal_0(F,G) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(G))) ) ) & ( E = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),C,D),k1_scmp_gcd(F))) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(I,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,k4_ordinal1) & v5_relat_1(J,u1_compos_1(k1_scmpds_2)) & v1_funct_1(J) & v1_partfun1(J,k4_ordinal1) ) => ( ( k1_funct_1(I,k2_scmp_gcd) = k5_numbers & k1_funct_1(I,k1_scmp_gcd(7)) = k1_nat_1(H,1) & k2_xcmplx_0(k1_funct_1(I,k1_scmp_gcd(3)),k1_funct_1(I,k1_scmp_gcd(7))) = A & r1_xxreal_0(8,k1_funct_1(I,k1_scmp_gcd(3))) & k1_funct_1(I,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(1)) = k1_funct_1(I,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(7)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(2)) = k1_funct_1(I,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(4)) = k1_funct_1(I,k1_scmp_gcd(4)) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(8,K) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(K)) = k1_funct_1(I,k1_scmp_gcd(K)) ) ) & ? [K] : ( v7_ordinal1(K) & ? [L] : ( v7_ordinal1(L) & K = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(5)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(3)) = L & k2_xcmplx_0(L,K) = A & r1_xxreal_0(K,k1_funct_1(I,k1_scmp_gcd(7))) & ! [M] : ( v7_ordinal1(M) => ~ ( r1_xxreal_0(k1_funct_1(I,k1_scmp_gcd(3)),M) & ~ r1_xxreal_0(L,M) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(M))) ) ) & ( K = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),I,J),k1_scmp_gcd(L))) ) ) ) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(N,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,k4_ordinal1) & v5_relat_1(O,u1_compos_1(k1_scmpds_2)) & v1_funct_1(O) & v1_partfun1(O,k4_ordinal1) ) => ( ( k1_funct_1(N,k2_scmp_gcd) = k5_numbers & k1_funct_1(N,k1_scmp_gcd(7)) = k1_nat_1(k1_nat_1(H,1),1) & k2_xcmplx_0(k1_funct_1(N,k1_scmp_gcd(3)),k1_funct_1(N,k1_scmp_gcd(7))) = A & r1_xxreal_0(8,k1_funct_1(N,k1_scmp_gcd(3))) & k1_funct_1(N,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(1)) = k1_funct_1(N,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(7)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(2)) = k1_funct_1(N,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(4)) = k1_funct_1(N,k1_scmp_gcd(4)) & ! [P] : ( v7_ordinal1(P) => ( r1_xxreal_0(8,P) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(P)) = k1_funct_1(N,k1_scmp_gcd(P)) ) ) & ? [P] : ( v7_ordinal1(P) & ? [Q] : ( v7_ordinal1(Q) & P = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(5)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(3)) = Q & k2_xcmplx_0(Q,P) = A & r1_xxreal_0(P,k1_funct_1(N,k1_scmp_gcd(7))) & ! [R] : ( v7_ordinal1(R) => ~ ( r1_xxreal_0(k1_funct_1(N,k1_scmp_gcd(3)),R) & ~ r1_xxreal_0(Q,R) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(R))) ) ) & ( P = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),N,O),k1_scmp_gcd(Q))) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [S] : ( ( v1_relat_1(S) & v4_relat_1(S,u1_struct_0(k1_scmpds_2)) & v1_funct_1(S) & v5_funct_1(S,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(S,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(S,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [T] : ( ( v1_relat_1(T) & v4_relat_1(T,k4_ordinal1) & v5_relat_1(T,u1_compos_1(k1_scmpds_2)) & v1_funct_1(T) & v1_partfun1(T,k4_ordinal1) ) => ( ( k1_funct_1(S,k2_scmp_gcd) = k5_numbers & k1_funct_1(S,k1_scmp_gcd(7)) = k1_nat_1(H,1) & k2_xcmplx_0(k1_funct_1(S,k1_scmp_gcd(3)),k1_funct_1(S,k1_scmp_gcd(7))) = A & r1_xxreal_0(8,k1_funct_1(S,k1_scmp_gcd(3))) & k1_funct_1(S,k1_scmp_gcd(2)) = B ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(1)) = k1_funct_1(S,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(7)) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(2)) = k1_funct_1(S,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(4)) = k1_funct_1(S,k1_scmp_gcd(4)) & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(8,U) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(U)) = k1_funct_1(S,k1_scmp_gcd(U)) ) ) & ? [U] : ( v7_ordinal1(U) & ? [V] : ( v7_ordinal1(V) & U = k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(5)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(3)) = V & k2_xcmplx_0(V,U) = A & r1_xxreal_0(U,k1_funct_1(S,k1_scmp_gcd(7))) & ! [W] : ( v7_ordinal1(W) => ~ ( r1_xxreal_0(k1_funct_1(S,k1_scmp_gcd(3)),W) & ~ r1_xxreal_0(V,W) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(W))) ) ) & ( U = k5_numbers | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers))))),S,T),k1_scmp_gcd(V))) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e13_2_1_1__jgraph_8,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v7_ordinal1(B) ) => ( ( ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,k5_numbers)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,k5_numbers))),k7_partfun1(k1_numbers,A,B)) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,C)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,C))),k7_partfun1(k1_numbers,A,B)) ) => ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,k1_nat_1(C,1))),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,k1_nat_1(C,1)))),k7_partfun1(k1_numbers,A,B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k2_xcmplx_0(B,k2_xcmplx_0(1,C)),k3_finseq_1(A)) & r1_xxreal_0(k7_partfun1(k1_numbers,A,k2_xcmplx_0(B,k2_xcmplx_0(1,C))),k7_partfun1(k1_numbers,A,B)) ) ) ) ) )).
fof(s2_nat_1__e13_32__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v7_ordinal1(B) & v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_afinsq_1(A)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(A,k5_numbers)),k7_afinsq_2(k5_relat_1(C,k5_numbers))) = k3_xcmplx_0(B,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k1_afinsq_1(A)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(A,D)),k7_afinsq_2(k5_relat_1(C,D))) = k3_xcmplx_0(B,D) ) => ( r1_xxreal_0(k1_nat_1(D,1),k1_afinsq_1(A)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(A,k1_nat_1(D,1))),k7_afinsq_2(k5_relat_1(C,k1_nat_1(D,1)))) = k3_xcmplx_0(B,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k1_afinsq_1(A)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(A,D)),k7_afinsq_2(k5_relat_1(C,D))) = k3_xcmplx_0(B,D) ) ) ) ) )).
fof(s2_nat_1__e13_38_3__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers),k3_xcmplx_0(2,k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k5_numbers)))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(B),C),k3_xcmplx_0(2,k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,C)))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1)),k3_xcmplx_0(2,k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(C,1))))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(B),C),k3_xcmplx_0(2,k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,C)))) ) ) ) )).
fof(s2_nat_1__e13_39_1__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),B,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),B,k2_xcmplx_0(C,D))) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),B,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e13_42__substut2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) & m1_substut2(E,A,D,C) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(E),1)) & ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( F = k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),k5_numbers)) & r1_xxreal_0(k7_cqc_sim1(A,F),B) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r1_xxreal_0(G,k6_xcmplx_0(k3_finseq_1(E),1)) & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( H = k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),G)) & r1_xxreal_0(k7_cqc_sim1(A,H),B) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(G,1),k6_xcmplx_0(k3_finseq_1(E),1)) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( I = k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),k1_nat_1(G,1))) & r1_xxreal_0(k7_cqc_sim1(A,I),B) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,k6_xcmplx_0(k3_finseq_1(E),1)) & ! [J] : ( m2_subset_1(J,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( J = k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),G)) & r1_xxreal_0(k7_cqc_sim1(A,J),B) ) ) ) ) ) ) )).
fof(s2_nat_1__e13_49__calcul_1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_finseq_1(B,k2_zfmisc_1(k4_calcul_1(A),k2_cqc_the1)) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k5_numbers) & ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ~ ( D = k1_xtuple_0(k1_funct_1(B,C)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),k2_calcul_1(A,D)) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(B)) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) & ! [G] : ( m2_finseq_1(G,k3_cqc_lang(A)) => ~ ( G = k1_xtuple_0(k1_funct_1(B,F)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),G),k2_calcul_1(A,G)) ) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) => ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k1_nat_1(E,1)) & ! [I] : ( m2_finseq_1(I,k3_cqc_lang(A)) => ~ ( I = k1_xtuple_0(k1_funct_1(B,H)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),I),k2_calcul_1(A,I)) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k3_finseq_1(B)) => ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(1,J) & r1_xxreal_0(J,E) & ! [K] : ( m2_finseq_1(K,k3_cqc_lang(A)) => ~ ( K = k1_xtuple_0(k1_funct_1(B,J)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),K),k2_calcul_1(A,K)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e13_52_1__afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v6_membered(A) & v1_finset_1(B) & v6_membered(B) ) => ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,k4_afinsq_2(B))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),k2_xcmplx_0(k1_afinsq_1(k4_afinsq_2(A)),k5_numbers)) = k1_recdef_1(k4_afinsq_2(B),k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k1_relset_1(k4_ordinal1,k4_afinsq_2(B))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),k2_xcmplx_0(k1_afinsq_1(k4_afinsq_2(A)),C)) = k1_recdef_1(k4_afinsq_2(B),C) ) => ( r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,k4_afinsq_2(B))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),k2_xcmplx_0(k1_afinsq_1(k4_afinsq_2(A)),k1_nat_1(C,1))) = k1_recdef_1(k4_afinsq_2(B),k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k4_afinsq_2(B))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),k2_xcmplx_0(k1_afinsq_1(k4_afinsq_2(A)),C)) = k1_recdef_1(k4_afinsq_2(B),C) ) ) ) ) )).
fof(s2_nat_1__e13_5__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,B) ) => k8_nat_1(u1_struct_0(A),D,E) = k8_nat_1(u1_struct_0(A),C,E) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,B) ) => k8_nat_1(u1_struct_0(A),D,G) = k8_nat_1(u1_struct_0(A),C,G) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,B) ) => k8_nat_1(u1_struct_0(A),D,H) = k8_nat_1(u1_struct_0(A),C,H) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,B) ) => k8_nat_1(u1_struct_0(A),D,I) = k8_nat_1(u1_struct_0(A),C,I) ) ) ) ) ) )).
fof(s2_nat_1__e13_60_1_2_1__topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(k1_funct_1(C,k5_numbers),k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = k1_xtuple_0(k1_funct_1(C,k5_numbers)) & E = k2_xtuple_0(k1_funct_1(C,k5_numbers)) ) => r1_xboole_0(k2_pre_topc(A,D),k2_pre_topc(A,E)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(k1_funct_1(C,F),k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ( ( G = k1_xtuple_0(k1_funct_1(C,F)) & H = k2_xtuple_0(k1_funct_1(C,F)) ) => r1_xboole_0(k2_pre_topc(A,G),k2_pre_topc(A,H)) ) ) ) ) => ( r2_tarski(k1_funct_1(C,k1_nat_1(F,1)),k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))) & ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ( ( I = k1_xtuple_0(k1_funct_1(C,k1_nat_1(F,1))) & J = k2_xtuple_0(k1_funct_1(C,k1_nat_1(F,1))) ) => r1_xboole_0(k2_pre_topc(A,I),k2_pre_topc(A,J)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(k1_funct_1(C,F),k2_zfmisc_1(k9_setfam_1(B),k9_setfam_1(B))) & ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ! [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) => ( ( K = k1_xtuple_0(k1_funct_1(C,F)) & L = k2_xtuple_0(k1_funct_1(C,F)) ) => r1_xboole_0(k2_pre_topc(A,K),k2_pre_topc(A,L)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e13_65_1_1__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k3_xcmplx_0(k1_newton(B,k5_numbers),D)),k3_xcmplx_0(k1_newton(C,k5_numbers),k8_nat_1(k1_numbers,A,D))) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k3_xcmplx_0(k1_newton(B,E),D)),k3_xcmplx_0(k1_newton(C,E),k8_nat_1(k1_numbers,A,D))) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k3_xcmplx_0(k1_newton(B,k1_nat_1(E,1)),D)),k3_xcmplx_0(k1_newton(C,k1_nat_1(E,1)),k8_nat_1(k1_numbers,A,D))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k3_xcmplx_0(k1_newton(B,E),D)),k3_xcmplx_0(k1_newton(C,E),k8_nat_1(k1_numbers,A,D))) ) ) ) )).
fof(s2_nat_1__e13_7__ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( k7_partfun1(k4_ordinal1,C,k5_numbers) = k3_funct_2(k4_ordinal1,k4_ordinal1,A,D) & r1_xxreal_0(B,D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( k7_partfun1(k4_ordinal1,C,E) = k3_funct_2(k4_ordinal1,k4_ordinal1,A,F) & r1_xxreal_0(B,F) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(C)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( k7_partfun1(k4_ordinal1,C,k1_nat_1(E,1)) = k3_funct_2(k4_ordinal1,k4_ordinal1,A,G) & r1_xxreal_0(B,G) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( k7_partfun1(k4_ordinal1,C,E) = k3_funct_2(k4_ordinal1,k4_ordinal1,A,H) & r1_xxreal_0(B,H) ) ) ) ) ) ) )).
fof(s2_nat_1__e13_7__matrtop2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m2_finseq_1(B,u1_struct_0(k15_euclid(A))) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(k6_prvect_1(k2_vectsp_1,A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k6_prvect_1(k2_vectsp_1,A))))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,k5_numbers) = k8_nat_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)),E,k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,F) = k8_nat_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)),E,F) ) => ( r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,k1_nat_1(F,1)) = k8_nat_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)),E,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k3_finseq_1(B)) => k8_nat_1(u1_struct_0(C),D,F) = k8_nat_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)),E,F) ) ) ) ) )).
fof(s2_nat_1__e13_91_1__absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_absred_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ( r1_absred_0(B,k8_nat_1(u1_struct_0(B),C,k5_numbers),k8_nat_1(u1_struct_0(B),C,k1_nat_1(k5_numbers,1))) & r2_tarski(k8_nat_1(u1_struct_0(B),C,k5_numbers),A) & ! [D] : ( v7_ordinal1(D) => ( ( r1_absred_0(B,k8_nat_1(u1_struct_0(B),C,D),k8_nat_1(u1_struct_0(B),C,k1_nat_1(D,1))) & r2_tarski(k8_nat_1(u1_struct_0(B),C,D),A) ) => ( r1_absred_0(B,k8_nat_1(u1_struct_0(B),C,k1_nat_1(D,1)),k8_nat_1(u1_struct_0(B),C,k1_nat_1(k1_nat_1(D,1),1))) & r2_tarski(k8_nat_1(u1_struct_0(B),C,k1_nat_1(D,1)),A) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_absred_0(B,k8_nat_1(u1_struct_0(B),C,D),k8_nat_1(u1_struct_0(B),C,k1_nat_1(D,1))) & r2_tarski(k8_nat_1(u1_struct_0(B),C,D),A) ) ) ) ) )).
fof(s2_nat_1__e13_94__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) & m1_subset_1(D,k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))))) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),k5_numbers)),u4_turing_1(B)) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),k5_numbers)) & k2_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),k5_numbers)) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),k5_numbers)) & k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),k5_numbers)) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),k5_numbers)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,E) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),F)),u4_turing_1(B)) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),F)) & k2_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),F)) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),F)) & k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),F)) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),F)) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),E) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),k1_nat_1(F,1))),u4_turing_1(B)) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),k1_nat_1(F,1))) & k2_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),k1_nat_1(F,1))) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),k1_nat_1(F,1))) & k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),k1_nat_1(F,1))) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),k1_nat_1(F,1))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),F)),u4_turing_1(B)) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),F)) & k2_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),F)) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),F)) & k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,C),F)) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),F)) ) ) ) ) ) )).
fof(s2_nat_1__e14_10__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,k6_numbers) & m1_subset_1(B,k6_numbers) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k12_supinf_2(C,k5_numbers) = k1_extreal1(B,k12_supinf_2(D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(A)) => k12_supinf_2(C,E) = k1_extreal1(B,k12_supinf_2(D,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) => k12_supinf_2(C,k1_nat_1(E,1)) = k1_extreal1(B,k12_supinf_2(D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k3_finseq_1(A)) => k12_supinf_2(C,E) = k1_extreal1(B,k12_supinf_2(D,E)) ) ) ) ) )).
fof(s2_nat_1__e14_12_1_1__ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( r2_tarski(k8_nat_1(k4_ordinal1,C,k5_numbers),k6_ordinal1(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(k5_numbers,1)))) & r1_tarski(k3_funct_2(k4_ordinal1,A,B,k1_nat_1(k5_numbers,1)),k8_nat_1(A,B,k5_numbers)) & r2_tarski(k8_nat_1(k4_ordinal1,C,k5_numbers),k8_nat_1(A,B,k5_numbers)) & r2_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(k5_numbers,1)),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(k5_numbers,1))) & ~ r2_tarski(k8_nat_1(k4_ordinal1,C,k5_numbers),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(k5_numbers,1))) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(k8_nat_1(k4_ordinal1,C,D),k6_ordinal1(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(D,1)))) & r1_tarski(k3_funct_2(k4_ordinal1,A,B,k1_nat_1(D,1)),k8_nat_1(A,B,D)) & r2_tarski(k8_nat_1(k4_ordinal1,C,D),k8_nat_1(A,B,D)) & r2_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(D,1)),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(D,1))) & ~ r2_tarski(k8_nat_1(k4_ordinal1,C,D),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(D,1))) ) => ( r2_tarski(k8_nat_1(k4_ordinal1,C,k1_nat_1(D,1)),k6_ordinal1(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(k1_nat_1(D,1),1)))) & r1_tarski(k3_funct_2(k4_ordinal1,A,B,k1_nat_1(k1_nat_1(D,1),1)),k8_nat_1(A,B,k1_nat_1(D,1))) & r2_tarski(k8_nat_1(k4_ordinal1,C,k1_nat_1(D,1)),k8_nat_1(A,B,k1_nat_1(D,1))) & r2_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(k1_nat_1(D,1),1)),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(k1_nat_1(D,1),1))) & ~ r2_tarski(k8_nat_1(k4_ordinal1,C,k1_nat_1(D,1)),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(k1_nat_1(D,1),1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k8_nat_1(k4_ordinal1,C,D),k6_ordinal1(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(D,1)))) & r1_tarski(k3_funct_2(k4_ordinal1,A,B,k1_nat_1(D,1)),k8_nat_1(A,B,D)) & r2_tarski(k8_nat_1(k4_ordinal1,C,D),k8_nat_1(A,B,D)) & r2_tarski(k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(D,1)),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(D,1))) & ~ r2_tarski(k8_nat_1(k4_ordinal1,C,D),k3_funct_2(k4_ordinal1,A,B,k1_nat_1(D,1))) ) ) ) ) )).
fof(s2_nat_1__e14_14__scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) & v7_ordinal1(E) ) => ( ( ( ~ r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D),k5_numbers) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D),F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) ) ) => ( ~ r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D),k1_nat_1(F,1)) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D),F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) ) ) ) ) ) )).
fof(s2_nat_1__e14_21__armstrng,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( ( ~ r1_xxreal_0(k5_numbers,A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(1,B) => ( r1_xxreal_0(k1_nat_1(A,1),B) | k1_funct_1(k1_binari_3(k5_numbers,k5_series_1(2,A)),B) = k6_margrel1 ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k1_nat_1(A,1),D) | k1_funct_1(k1_binari_3(C,k5_series_1(2,A)),D) = k6_margrel1 ) ) ) ) => ( ~ r1_xxreal_0(k1_nat_1(C,1),A) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k1_nat_1(A,1),E) | k1_funct_1(k1_binari_3(k1_nat_1(C,1),k5_series_1(2,A)),E) = k6_margrel1 ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,A) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k1_nat_1(A,1),F) | k1_funct_1(k1_binari_3(C,k5_series_1(2,A)),F) = k6_margrel1 ) ) ) ) ) ) ) )).
fof(s2_nat_1__e14_22__amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & ~ v2_compos_1(D,B) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_finset_1(E) & v4_extpro_1(E,A,B,D) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(B)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,k5_numbers),k9_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,D),k1_funct_4(F,E),k5_numbers),C)) & ! [H] : ( v7_ordinal1(H) => ( r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,H),k9_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,D),k1_funct_4(F,E),H),C)) => r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,k1_nat_1(H,1)),k9_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,D),k1_funct_4(F,E),k1_nat_1(H,1)),C)) ) ) ) => ! [H] : ( v7_ordinal1(H) => r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,H),k9_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,D),k1_funct_4(F,E),H),C)) ) ) ) )).
fof(s2_nat_1__e14_25__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v2_scm_halt(C) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( r8_pboole(u1_struct_0(k1_scmfsa_2),k1_funct_4(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),k5_numbers),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),k5_numbers)),k4_card_1(C)))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),1),k5_numbers))) & ! [E] : ( v7_ordinal1(E) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k1_funct_4(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),E),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),E)),k4_card_1(C)))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),1),E))) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_funct_4(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),k1_nat_1(E,1)),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),k1_nat_1(E,1))),k4_card_1(C)))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),1),k1_nat_1(E,1)))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_funct_4(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),E),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),E)),k4_card_1(C)))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))),1),E))) ) ) ) )).
fof(s2_nat_1__e14_29_1_1_2_1_2__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_finseq_1(B,u1_struct_0(k10_matrix_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k10_matrix_1(k1_nat_1(A,1)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k10_matrix_1(k1_nat_1(A,1)))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k10_matrix_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k10_matrix_1(A))))) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) & ! [E] : ( m1_matrix_1(E,k9_matrix_1(k1_nat_1(A,1))) => ! [F] : ( m1_matrix_1(F,k9_matrix_1(A)) => ~ ( E = k8_nat_1(u1_struct_0(k10_matrix_1(k1_nat_1(A,1))),C,k5_numbers) & k8_nat_1(u1_struct_0(k10_matrix_1(A)),D,k5_numbers) = F & k2_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),E,k2_finseq_1(A)) = F & k1_funct_1(E,k1_nat_1(A,1)) = k1_nat_1(A,1) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( ~ r1_xxreal_0(G,k5_numbers) & r1_xxreal_0(G,k3_finseq_1(B)) & ! [H] : ( m1_matrix_1(H,k9_matrix_1(k1_nat_1(A,1))) => ! [I] : ( m1_matrix_1(I,k9_matrix_1(A)) => ~ ( H = k8_nat_1(u1_struct_0(k10_matrix_1(k1_nat_1(A,1))),C,G) & k8_nat_1(u1_struct_0(k10_matrix_1(A)),D,G) = I & k2_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),H,k2_finseq_1(A)) = I & k1_funct_1(H,k1_nat_1(A,1)) = k1_nat_1(A,1) ) ) ) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(G,1),k5_numbers) & r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(B)) & ! [J] : ( m1_matrix_1(J,k9_matrix_1(k1_nat_1(A,1))) => ! [K] : ( m1_matrix_1(K,k9_matrix_1(A)) => ~ ( J = k8_nat_1(u1_struct_0(k10_matrix_1(k1_nat_1(A,1))),C,k1_nat_1(G,1)) & k8_nat_1(u1_struct_0(k10_matrix_1(A)),D,k1_nat_1(G,1)) = K & k2_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),J,k2_finseq_1(A)) = K & k1_funct_1(J,k1_nat_1(A,1)) = k1_nat_1(A,1) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( ~ r1_xxreal_0(G,k5_numbers) & r1_xxreal_0(G,k3_finseq_1(B)) & ! [L] : ( m1_matrix_1(L,k9_matrix_1(k1_nat_1(A,1))) => ! [M] : ( m1_matrix_1(M,k9_matrix_1(A)) => ~ ( L = k8_nat_1(u1_struct_0(k10_matrix_1(k1_nat_1(A,1))),C,G) & k8_nat_1(u1_struct_0(k10_matrix_1(A)),D,G) = M & k2_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),L,k2_finseq_1(A)) = M & k1_funct_1(L,k1_nat_1(A,1)) = k1_nat_1(A,1) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e14_30__nat_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k3_int_7(A))) & m1_subset_1(C,k4_ordinal1) ) => ( ( k5_group_1(k3_int_7(A),B,k5_numbers) = k4_nat_d(k1_newton(C,k5_numbers),A) & ! [D] : ( v7_ordinal1(D) => ( k5_group_1(k3_int_7(A),B,D) = k4_nat_d(k1_newton(C,D),A) => k5_group_1(k3_int_7(A),B,k1_nat_1(D,1)) = k4_nat_d(k1_newton(C,k1_nat_1(D,1)),A) ) ) ) => ! [D] : ( v7_ordinal1(D) => k5_group_1(k3_int_7(A),B,D) = k4_nat_d(k1_newton(C,D),A) ) ) ) )).
fof(s2_nat_1__e14_33__jordan14,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_nat_1(k2_nat_1(k11_newton(2,k7_nat_d(B,k1_jordan11(A))),k7_nat_d(k2_jordan11(A),2)),2),k3_jordan11(A,B))) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k3_goboard5(k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),k2_xcmplx_0(k3_jordan11(A,B),k5_numbers)),k3_topreal1(2,k1_jordan13(A,B))),k1_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B)))) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k6_xcmplx_0(k1_nat_1(k2_nat_1(k11_newton(2,k7_nat_d(B,k1_jordan11(A))),k7_nat_d(k2_jordan11(A),2)),2),k3_jordan11(A,B))) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k3_goboard5(k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),k2_xcmplx_0(k3_jordan11(A,B),C)),k3_topreal1(2,k1_jordan13(A,B))),k1_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B)))) ) => ( r1_xxreal_0(k1_nat_1(C,1),k6_xcmplx_0(k1_nat_1(k2_nat_1(k11_newton(2,k7_nat_d(B,k1_jordan11(A))),k7_nat_d(k2_jordan11(A),2)),2),k3_jordan11(A,B))) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k3_goboard5(k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),k2_xcmplx_0(k3_jordan11(A,B),k1_nat_1(C,1))),k3_topreal1(2,k1_jordan13(A,B))),k1_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k6_xcmplx_0(k1_nat_1(k2_nat_1(k11_newton(2,k7_nat_d(B,k1_jordan11(A))),k7_nat_d(k2_jordan11(A),2)),2),k3_jordan11(A,B))) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k3_goboard5(k1_jordan8(A,B),k7_nat_d(k3_jordan1h(A,B),1),k2_xcmplx_0(k3_jordan11(A,B),C)),k3_topreal1(2,k1_jordan13(A,B))),k1_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B)))) ) ) ) ) )).
fof(s2_nat_1__e14_38__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(k5_numbers,1))),k3_real_1(k3_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers),k3_funct_2(k4_ordinal1,k1_numbers,A,k5_numbers)),k3_funct_2(k4_ordinal1,k1_numbers,A,2))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(C,1))),k3_real_1(k3_real_1(k8_nat_1(k1_numbers,k3_series_1(B),C),k3_funct_2(k4_ordinal1,k1_numbers,A,k5_numbers)),k3_funct_2(k4_ordinal1,k1_numbers,A,2))) => r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(k1_nat_1(C,1),1))),k3_real_1(k3_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1)),k3_funct_2(k4_ordinal1,k1_numbers,A,k5_numbers)),k3_funct_2(k4_ordinal1,k1_numbers,A,2))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(C,1))),k3_real_1(k3_real_1(k8_nat_1(k1_numbers,k3_series_1(B),C),k3_funct_2(k4_ordinal1,k1_numbers,A,k5_numbers)),k3_funct_2(k4_ordinal1,k1_numbers,A,2))) ) ) ) )).
fof(s2_nat_1__e14_51__qc_lang2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & v7_ordinal1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( ( r1_xxreal_0(1,k5_numbers) => ( r1_xxreal_0(C,k5_numbers) | ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ~ ( k1_funct_1(D,k1_nat_1(k5_numbers,1)) = E & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,E)),k3_finseq_1(k11_qc_lang1(A,B))) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) => ( r1_xxreal_0(C,F) | ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ~ ( k1_funct_1(D,k1_nat_1(F,1)) = G & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,G)),k3_finseq_1(k11_qc_lang1(A,B))) ) ) ) ) => ( r1_xxreal_0(1,k1_nat_1(F,1)) => ( r1_xxreal_0(C,k1_nat_1(F,1)) | ! [H] : ( m1_subset_1(H,k9_qc_lang1(A)) => ~ ( k1_funct_1(D,k1_nat_1(k1_nat_1(F,1),1)) = H & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,H)),k3_finseq_1(k11_qc_lang1(A,B))) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(C,F) | ! [I] : ( m1_subset_1(I,k9_qc_lang1(A)) => ~ ( k1_funct_1(D,k1_nat_1(F,1)) = I & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,I)),k3_finseq_1(k11_qc_lang1(A,B))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e14_5_1_2__ali2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_xreal_0(C) ) => ( ( a_3_1_ali2(A,B,C) != k1_xboole_0 & ! [D] : ( v7_ordinal1(D) => ( a_4_0_ali2(A,B,C,D) != k1_xboole_0 => a_4_1_ali2(A,B,C,D) != k1_xboole_0 ) ) ) => ! [D] : ( v7_ordinal1(D) => a_4_0_ali2(A,B,C,D) != k1_xboole_0 ) ) ) )).
fof(s2_nat_1__e14_5__measure6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ~ r1_xxreal_0(k12_supinf_2(A,k5_numbers),k1_supinf_2) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k12_supinf_2(A,B),k1_supinf_2) => ~ r1_xxreal_0(k12_supinf_2(A,k1_nat_1(B,1)),k1_supinf_2) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k12_supinf_2(A,B),k1_supinf_2) ) ) ) )).
fof(s2_nat_1__e14_65_10_1_1_2__prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k1_funct_1(E,k5_numbers) = k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( k1_funct_1(E,F) = k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),F) => k1_funct_1(E,k1_nat_1(F,1)) = k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),k1_nat_1(F,1)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,F) = k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),F) ) ) ) )).
fof(s2_nat_1__e14_6__bor_cant,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( r1_xxreal_0(k1_funct_1(k1_series_3(k8_prob_1(A,B,k2_prob_1(A,D),C)),k5_numbers),k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_funct_1(k1_series_3(k8_prob_1(A,B,k2_prob_1(A,D),C)),E),k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),E)) => r1_xxreal_0(k1_funct_1(k1_series_3(k8_prob_1(A,B,k2_prob_1(A,D),C)),k1_nat_1(E,1)),k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k1_funct_1(k1_series_3(k8_prob_1(A,B,k2_prob_1(A,D),C)),E),k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),E)) ) ) ) )).
fof(s2_nat_1__e14_72_1_2__idea_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,k4_ordinal1,B,6) & m2_finseq_1(C,k3_finseq_2(k4_ordinal1)) & m2_finseq_1(D,k4_ordinal1) ) => ( ( ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( E = k1_funct_1(k3_funct_7(k14_idea_1,k17_idea_1(k5_numbers,B,A,C)),D) => r1_xxreal_0(4,k3_finseq_1(E)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ( G = k1_funct_1(k3_funct_7(k14_idea_1,k17_idea_1(F,B,A,C)),D) => r1_xxreal_0(4,k3_finseq_1(G)) ) ) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ( H = k1_funct_1(k3_funct_7(k14_idea_1,k17_idea_1(k1_nat_1(F,1),B,A,C)),D) => r1_xxreal_0(4,k3_finseq_1(H)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m2_finseq_1(I,k4_ordinal1) => ( I = k1_funct_1(k3_funct_7(k14_idea_1,k17_idea_1(F,B,A,C)),D) => r1_xxreal_0(4,k3_finseq_1(I)) ) ) ) ) ) )).
fof(s2_nat_1__e14_72_2__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m2_finseq_1(B,k1_hilbert1) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) ) => r3_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,k5_numbers,B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r3_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,C,B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),C)) ) => ( ( r1_xxreal_0(1,k1_nat_1(C,1)) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => r3_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,k1_nat_1(C,1),B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r3_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,C,B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),C)) ) ) ) ) )).
fof(s2_nat_1__e14_8__ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ~ v1_xboole_0(D) & m2_finseq_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),k5_numbers),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),F))) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k5_pdiff_9(A,B,E,C)),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k2_xcmplx_0(k3_finseq_1(E),F))) ) ) ) ) )).
fof(s2_nat_1__e14_8__reloc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_ami_3)) & v1_funct_1(B) & v1_finset_1(B) & ~ v2_compos_1(B,k1_ami_3) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(C) & v4_extpro_1(C,k5_card_1(2),k1_ami_3,B) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_ami_3)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,k5_numbers)),A) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k5_numbers)) & k8_compos_0(u1_compos_1(k1_ami_3),k3_extpro_1(k5_card_1(2),k1_ami_3,F,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,k5_numbers)),A) = k3_extpro_1(k5_card_1(2),k1_ami_3,G,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k5_numbers)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,k5_numbers),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k5_numbers),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) & k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,k1_funct_4(D,k6_memstr_0(k5_card_1(2),k1_ami_3,E)),k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k5_numbers)) & ! [H] : ( v7_ordinal1(H) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H)),A) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) & k8_compos_0(u1_compos_1(k1_ami_3),k3_extpro_1(k5_card_1(2),k1_ami_3,F,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H)),A) = k3_extpro_1(k5_card_1(2),k1_ami_3,G,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) & k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,k1_funct_4(D,k6_memstr_0(k5_card_1(2),k1_ami_3,E)),H)) = k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,k1_nat_1(H,1))),A) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k1_nat_1(H,1))) & k8_compos_0(u1_compos_1(k1_ami_3),k3_extpro_1(k5_card_1(2),k1_ami_3,F,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,k1_nat_1(H,1))),A) = k3_extpro_1(k5_card_1(2),k1_ami_3,G,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k1_nat_1(H,1))) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,k1_nat_1(H,1)),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k1_nat_1(H,1)),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) & k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,k1_funct_4(D,k6_memstr_0(k5_card_1(2),k1_ami_3,E)),k1_nat_1(H,1))) = k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,k1_nat_1(H,1))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H)),A) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) & k8_compos_0(u1_compos_1(k1_ami_3),k3_extpro_1(k5_card_1(2),k1_ami_3,F,k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H)),A) = k3_extpro_1(k5_card_1(2),k1_ami_3,G,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,H),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_ami_3,C))) & k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,F,k1_funct_4(D,k6_memstr_0(k5_card_1(2),k1_ami_3,E)),H)) = k6_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,G,E,H)) ) ) ) ) )).
fof(s2_nat_1__e14_9__urysohn3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r2_hidden(A,k1_urysohn1(k2_xcmplx_0(k1_nat_1(k1_urysohn3(A),1),k5_numbers))) & ! [B] : ( v7_ordinal1(B) => ( ~ r2_hidden(A,k1_urysohn1(k2_xcmplx_0(k1_nat_1(k1_urysohn3(A),1),B))) => ~ r2_hidden(A,k1_urysohn1(k2_xcmplx_0(k1_nat_1(k1_urysohn3(A),1),k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r2_hidden(A,k1_urysohn1(k2_xcmplx_0(k1_nat_1(k1_urysohn3(A),1),B))) ) ) ) )).
fof(s2_nat_1__e15_10__finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m2_finseq_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( ~ ( k5_numbers != k5_numbers & ~ r1_xxreal_0(k3_finseq_1(k8_finseq_1(A,C,k12_finseq_1(A,B))),k5_numbers) & k8_nat_1(A,E,k5_numbers) != k8_nat_1(A,D,k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( k5_numbers != F & ~ r1_xxreal_0(k3_finseq_1(k8_finseq_1(A,C,k12_finseq_1(A,B))),F) & k8_nat_1(A,E,F) != k8_nat_1(A,D,F) ) => ~ ( k5_numbers != k1_nat_1(F,1) & ~ r1_xxreal_0(k3_finseq_1(k8_finseq_1(A,C,k12_finseq_1(A,B))),k1_nat_1(F,1)) & k8_nat_1(A,E,k1_nat_1(F,1)) != k8_nat_1(A,D,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( k5_numbers != F & ~ r1_xxreal_0(k3_finseq_1(k8_finseq_1(A,C,k12_finseq_1(A,B))),F) & k8_nat_1(A,E,F) != k8_nat_1(A,D,F) ) ) ) ) )).
fof(s2_nat_1__e15_12__scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v2_compos_1(A,k1_scmpds_2) & v3_scmpds_4(A) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) & v1_int_1(C) & v1_int_1(D) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmpds_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(G,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(G,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmpds_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ! [I] : ( m2_finseq_1(I,k4_numbers) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ~ ( k1_funct_1(G,B) = D & k1_nat_1(k3_xcmplx_0(2,J),1) = k1_funct_1(G,k2_scmpds_2(D,C)) & K = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(E,F),k3_xcmplx_0(2,J)),1) & ( ( r1_xxreal_0(1,L) & r1_xxreal_0(M,F) ) | r1_xxreal_0(M,L) ) & k2_xcmplx_0(E,L) = k1_funct_1(G,k1_scmp_gcd(K)) & k2_xcmplx_0(E,M) = k1_funct_1(G,k1_scmp_gcd(k1_nat_1(K,1))) & r1_xxreal_0(k6_xcmplx_0(M,L),k5_numbers) & r1_scpisort(I,G,E) & k3_finseq_1(I) = F & ! [N] : ( v7_ordinal1(N) => ! [O] : ( m2_finseq_1(O,k4_numbers) => ~ ( r6_pboole(u1_struct_0(k1_scmpds_2),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(H,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),G,N)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(H,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),G,N)) & r1_scpisort(O,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(H,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),G,N),E) & k3_finseq_1(O) = F & r2_classes1(I,O) & r3_graph_2(O,L,M) & ! [P] : ( v7_ordinal1(P) => ~ ( ~ r1_xxreal_0(M,L) & ( ( r1_xxreal_0(1,P) & ~ r1_xxreal_0(L,P) ) | ( ~ r1_xxreal_0(P,M) & r1_xxreal_0(P,F) ) ) & k1_funct_1(O,P) != k1_funct_1(G,k1_scmp_gcd(k2_xcmplx_0(E,P))) ) ) & ! [P] : ( v7_ordinal1(P) => ( ( r1_xxreal_0(M,L) & r1_xxreal_0(1,P) & r1_xxreal_0(P,F) ) => k1_funct_1(O,P) = k1_funct_1(G,k1_scmp_gcd(k2_xcmplx_0(E,P))) ) ) & ! [P] : ( v7_ordinal1(P) => ( r1_xxreal_0(1,P) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,J),1),P) | k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(H,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),G,N),k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),P))) = k1_funct_1(G,k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),P))) ) ) ) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(H,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),G,N),k2_scmpds_2(D,C)) = k6_xcmplx_0(k1_funct_1(G,k2_scmpds_2(D,C)),2) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(H,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),G,N),B) = D ) ) ) ) ) ) ) ) ) ) ) & ! [Q] : ( v7_ordinal1(Q) => ( ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,u1_struct_0(k1_scmpds_2)) & v1_funct_1(R) & v5_funct_1(R,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(R,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(R,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [S] : ( ( v1_relat_1(S) & v4_relat_1(S,k4_ordinal1) & v5_relat_1(S,u1_compos_1(k1_scmpds_2)) & v1_funct_1(S) & v1_partfun1(S,k4_ordinal1) ) => ! [T] : ( m2_finseq_1(T,k4_numbers) => ! [U] : ( v7_ordinal1(U) => ! [V] : ( v7_ordinal1(V) => ! [W] : ( v7_ordinal1(W) => ! [X] : ( v7_ordinal1(X) => ~ ( k1_funct_1(R,B) = D & k1_nat_1(k3_xcmplx_0(2,U),1) = k1_funct_1(R,k2_scmpds_2(D,C)) & V = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(E,F),k3_xcmplx_0(2,U)),1) & ( ( r1_xxreal_0(1,W) & r1_xxreal_0(X,F) ) | r1_xxreal_0(X,W) ) & k2_xcmplx_0(E,W) = k1_funct_1(R,k1_scmp_gcd(V)) & k2_xcmplx_0(E,X) = k1_funct_1(R,k1_scmp_gcd(k1_nat_1(V,1))) & r1_xxreal_0(k6_xcmplx_0(X,W),Q) & r1_scpisort(T,R,E) & k3_finseq_1(T) = F & ! [Y] : ( v7_ordinal1(Y) => ! [Z] : ( m2_finseq_1(Z,k4_numbers) => ~ ( r6_pboole(u1_struct_0(k1_scmpds_2),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(S,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),R,Y)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(S,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),R,Y)) & r1_scpisort(Z,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(S,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),R,Y),E) & k3_finseq_1(Z) = F & r2_classes1(T,Z) & r3_graph_2(Z,W,X) & ! [A1] : ( v7_ordinal1(A1) => ~ ( ~ r1_xxreal_0(X,W) & ( ( r1_xxreal_0(1,A1) & ~ r1_xxreal_0(W,A1) ) | ( ~ r1_xxreal_0(A1,X) & r1_xxreal_0(A1,F) ) ) & k1_funct_1(Z,A1) != k1_funct_1(R,k1_scmp_gcd(k2_xcmplx_0(E,A1))) ) ) & ! [A1] : ( v7_ordinal1(A1) => ( ( r1_xxreal_0(X,W) & r1_xxreal_0(1,A1) & r1_xxreal_0(A1,F) ) => k1_funct_1(Z,A1) = k1_funct_1(R,k1_scmp_gcd(k2_xcmplx_0(E,A1))) ) ) & ! [A1] : ( v7_ordinal1(A1) => ( r1_xxreal_0(1,A1) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,U),1),A1) | k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(S,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),R,Y),k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),A1))) = k1_funct_1(R,k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),A1))) ) ) ) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(S,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),R,Y),k2_scmpds_2(D,C)) = k6_xcmplx_0(k1_funct_1(R,k2_scmpds_2(D,C)),2) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(S,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),R,Y),B) = D ) ) ) ) ) ) ) ) ) ) ) => ! [B1] : ( ( v1_relat_1(B1) & v4_relat_1(B1,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B1) & v5_funct_1(B1,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B1,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B1,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C1] : ( ( v1_relat_1(C1) & v4_relat_1(C1,k4_ordinal1) & v5_relat_1(C1,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C1) & v1_partfun1(C1,k4_ordinal1) ) => ! [D1] : ( m2_finseq_1(D1,k4_numbers) => ! [E1] : ( v7_ordinal1(E1) => ! [F1] : ( v7_ordinal1(F1) => ! [G1] : ( v7_ordinal1(G1) => ! [H1] : ( v7_ordinal1(H1) => ~ ( k1_funct_1(B1,B) = D & k1_nat_1(k3_xcmplx_0(2,E1),1) = k1_funct_1(B1,k2_scmpds_2(D,C)) & F1 = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(E,F),k3_xcmplx_0(2,E1)),1) & ( ( r1_xxreal_0(1,G1) & r1_xxreal_0(H1,F) ) | r1_xxreal_0(H1,G1) ) & k2_xcmplx_0(E,G1) = k1_funct_1(B1,k1_scmp_gcd(F1)) & k2_xcmplx_0(E,H1) = k1_funct_1(B1,k1_scmp_gcd(k1_nat_1(F1,1))) & r1_xxreal_0(k6_xcmplx_0(H1,G1),k1_nat_1(Q,1)) & r1_scpisort(D1,B1,E) & k3_finseq_1(D1) = F & ! [I1] : ( v7_ordinal1(I1) => ! [J1] : ( m2_finseq_1(J1,k4_numbers) => ~ ( r6_pboole(u1_struct_0(k1_scmpds_2),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),B1,I1)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),B1,I1)) & r1_scpisort(J1,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),B1,I1),E) & k3_finseq_1(J1) = F & r2_classes1(D1,J1) & r3_graph_2(J1,G1,H1) & ! [K1] : ( v7_ordinal1(K1) => ~ ( ~ r1_xxreal_0(H1,G1) & ( ( r1_xxreal_0(1,K1) & ~ r1_xxreal_0(G1,K1) ) | ( ~ r1_xxreal_0(K1,H1) & r1_xxreal_0(K1,F) ) ) & k1_funct_1(J1,K1) != k1_funct_1(B1,k1_scmp_gcd(k2_xcmplx_0(E,K1))) ) ) & ! [K1] : ( v7_ordinal1(K1) => ( ( r1_xxreal_0(H1,G1) & r1_xxreal_0(1,K1) & r1_xxreal_0(K1,F) ) => k1_funct_1(J1,K1) = k1_funct_1(B1,k1_scmp_gcd(k2_xcmplx_0(E,K1))) ) ) & ! [K1] : ( v7_ordinal1(K1) => ( r1_xxreal_0(1,K1) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,E1),1),K1) | k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),B1,I1),k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),K1))) = k1_funct_1(B1,k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),K1))) ) ) ) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),B1,I1),k2_scmpds_2(D,C)) = k6_xcmplx_0(k1_funct_1(B1,k2_scmpds_2(D,C)),2) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(C1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),B1,I1),B) = D ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [Q] : ( v7_ordinal1(Q) => ! [L1] : ( ( v1_relat_1(L1) & v4_relat_1(L1,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L1) & v5_funct_1(L1,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L1,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(L1,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M1] : ( ( v1_relat_1(M1) & v4_relat_1(M1,k4_ordinal1) & v5_relat_1(M1,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M1) & v1_partfun1(M1,k4_ordinal1) ) => ! [N1] : ( m2_finseq_1(N1,k4_numbers) => ! [O1] : ( v7_ordinal1(O1) => ! [P1] : ( v7_ordinal1(P1) => ! [Q1] : ( v7_ordinal1(Q1) => ! [R1] : ( v7_ordinal1(R1) => ~ ( k1_funct_1(L1,B) = D & k1_nat_1(k3_xcmplx_0(2,O1),1) = k1_funct_1(L1,k2_scmpds_2(D,C)) & P1 = k1_nat_1(k2_xcmplx_0(k2_xcmplx_0(E,F),k3_xcmplx_0(2,O1)),1) & ( ( r1_xxreal_0(1,Q1) & r1_xxreal_0(R1,F) ) | r1_xxreal_0(R1,Q1) ) & k2_xcmplx_0(E,Q1) = k1_funct_1(L1,k1_scmp_gcd(P1)) & k2_xcmplx_0(E,R1) = k1_funct_1(L1,k1_scmp_gcd(k1_nat_1(P1,1))) & r1_xxreal_0(k6_xcmplx_0(R1,Q1),Q) & r1_scpisort(N1,L1,E) & k3_finseq_1(N1) = F & ! [S1] : ( v7_ordinal1(S1) => ! [T1] : ( m2_finseq_1(T1,k4_numbers) => ~ ( r6_pboole(u1_struct_0(k1_scmpds_2),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(M1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),L1,S1)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(M1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),L1,S1)) & r1_scpisort(T1,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(M1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),L1,S1),E) & k3_finseq_1(T1) = F & r2_classes1(N1,T1) & r3_graph_2(T1,Q1,R1) & ! [U1] : ( v7_ordinal1(U1) => ~ ( ~ r1_xxreal_0(R1,Q1) & ( ( r1_xxreal_0(1,U1) & ~ r1_xxreal_0(Q1,U1) ) | ( ~ r1_xxreal_0(U1,R1) & r1_xxreal_0(U1,F) ) ) & k1_funct_1(T1,U1) != k1_funct_1(L1,k1_scmp_gcd(k2_xcmplx_0(E,U1))) ) ) & ! [U1] : ( v7_ordinal1(U1) => ( ( r1_xxreal_0(R1,Q1) & r1_xxreal_0(1,U1) & r1_xxreal_0(U1,F) ) => k1_funct_1(T1,U1) = k1_funct_1(L1,k1_scmp_gcd(k2_xcmplx_0(E,U1))) ) ) & ! [U1] : ( v7_ordinal1(U1) => ( r1_xxreal_0(1,U1) => ( r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,O1),1),U1) | k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(M1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),L1,S1),k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),U1))) = k1_funct_1(L1,k1_scmp_gcd(k2_xcmplx_0(k2_xcmplx_0(E,F),U1))) ) ) ) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(M1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),L1,S1),k2_scmpds_2(D,C)) = k6_xcmplx_0(k1_funct_1(L1,k2_scmpds_2(D,C)),2) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(M1,k10_compos_1(k1_scmpds_2,k2_scmpds_8(B,C,A))),L1,S1),B) = D ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e15_169__comput_1,axiom,( ( k1_recdef_1(k17_comput_1,k9_finseq_1(k5_numbers)) = k7_newton(k5_numbers) & ! [A] : ( v7_ordinal1(A) => ( k1_recdef_1(k17_comput_1,k9_finseq_1(A)) = k7_newton(A) => k1_recdef_1(k17_comput_1,k9_finseq_1(k1_nat_1(A,1))) = k7_newton(k1_nat_1(A,1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_recdef_1(k17_comput_1,k9_finseq_1(A)) = k7_newton(A) ) )).
fof(s2_nat_1__e15_25_10__jordan7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( ( r1_xxreal_0(k1_nat_1(k5_numbers,2),k3_finseq_1(B)) => r1_jordan6(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(k5_numbers,2))) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_nat_1(C,2),k3_finseq_1(B)) => r1_jordan6(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,2))) ) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(C,1),2),k3_finseq_1(B)) => r1_jordan6(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(k1_nat_1(C,1),2))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_nat_1(C,2),k3_finseq_1(B)) => r1_jordan6(A,k7_partfun1(u1_struct_0(k15_euclid(2)),B,2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,2))) ) ) ) ) )).
fof(s2_nat_1__e15_27_1_1_2__laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( r1_xxreal_0(1,k5_numbers) => ( r1_xxreal_0(B,k5_numbers) | k8_nat_1(u1_struct_0(A),C,k5_numbers) = k8_nat_1(u1_struct_0(A),D,k5_numbers) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) => ( r1_xxreal_0(B,E) | k8_nat_1(u1_struct_0(A),C,E) = k8_nat_1(u1_struct_0(A),D,E) ) ) => ( r1_xxreal_0(1,k1_nat_1(E,1)) => ( r1_xxreal_0(B,k1_nat_1(E,1)) | k8_nat_1(u1_struct_0(A),C,k1_nat_1(E,1)) = k8_nat_1(u1_struct_0(A),D,k1_nat_1(E,1)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(B,E) | k8_nat_1(u1_struct_0(A),C,E) = k8_nat_1(u1_struct_0(A),D,E) ) ) ) ) ) )).
fof(s2_nat_1__e15_28__rewrite1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & m1_rewrite1(B,A) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(B)) => r2_tarski(k1_funct_1(B,k5_numbers),k1_relat_1(A)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(B)) => r2_tarski(k1_funct_1(B,C),k1_relat_1(A)) ) => ( r2_tarski(k1_nat_1(C,1),k4_finseq_1(B)) => r2_tarski(k1_funct_1(B,k1_nat_1(C,1)),k1_relat_1(A)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r2_tarski(k1_funct_1(B,C),k1_relat_1(A)) ) ) ) ) )).
fof(s2_nat_1__e15_28__wellfnd1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( r2_tarski(k1_funct_1(B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k1_funct_1(B,C),A) => r2_tarski(k1_funct_1(B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(k1_funct_1(B,C),A) ) ) ) )).
fof(s2_nat_1__e15_3_2_1__vectmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & v1_funct_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( ( k1_xtuple_0(k1_funct_1(C,k5_euclid(k5_numbers))) = B & ! [D] : ( v7_ordinal1(D) => ( k1_xtuple_0(k1_funct_1(C,k5_euclid(D))) = B => k1_xtuple_0(k1_funct_1(C,k5_euclid(k1_nat_1(D,1)))) = B ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_xtuple_0(k1_funct_1(C,k5_euclid(D))) = B ) ) ) )).
fof(s2_nat_1__e15_45__catalan2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(B),k5_numbers) => k7_afinsq_2(k5_relat_1(B,k1_nat_1(k5_numbers,1))) = k4_newton(k5_numbers,k3_xcmplx_0(2,A)) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k1_afinsq_1(B),C) => k7_afinsq_2(k5_relat_1(B,k1_nat_1(C,1))) = k4_newton(C,k3_xcmplx_0(2,A)) ) => ( ~ r1_xxreal_0(k1_afinsq_1(B),k1_nat_1(C,1)) => k7_afinsq_2(k5_relat_1(B,k1_nat_1(k1_nat_1(C,1),1))) = k4_newton(k1_nat_1(C,1),k3_xcmplx_0(2,A)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k1_afinsq_1(B),C) => k7_afinsq_2(k5_relat_1(B,k1_nat_1(C,1))) = k4_newton(C,k3_xcmplx_0(2,A)) ) ) ) ) )).
fof(s2_nat_1__e15_52__ordinal5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( ( k1_funct_1(A,k5_numbers) = k1_ordinal5(k4_ordinal1,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(A,B) = k1_ordinal5(k4_ordinal1,B) => k1_funct_1(A,k1_nat_1(B,1)) = k1_ordinal5(k4_ordinal1,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k1_ordinal5(k4_ordinal1,B) ) ) ) )).
fof(s2_nat_1__e15_53__scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) & v7_ordinal1(E) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) ) ) ) ) )).
fof(s2_nat_1__e15_5__finsop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k5_finsub_1(k4_ordinal1),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k4_ordinal1),A))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( k5_numbers = k5_numbers | k8_nat_1(A,D,k5_numbers) = k1_funct_1(C,k2_finseq_1(k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(B)) => ( E = k5_numbers | k8_nat_1(A,D,E) = k1_funct_1(C,k2_finseq_1(E)) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) => ( k1_nat_1(E,1) = k5_numbers | k8_nat_1(A,D,k1_nat_1(E,1)) = k1_funct_1(C,k2_finseq_1(k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k3_finseq_1(B)) => ( E = k5_numbers | k8_nat_1(A,D,E) = k1_funct_1(C,k2_finseq_1(E)) ) ) ) ) ) )).
fof(s2_nat_1__e15_63__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & m1_rewrite1(B,A) & m1_rewrite1(C,A) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(B)) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,k5_numbers),k1_funct_1(C,D)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,E),k1_funct_1(C,F)) ) ) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(B)) => ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,k1_nat_1(E,1)),k1_funct_1(C,G)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,E),k1_funct_1(C,H)) ) ) ) ) ) ) )).
fof(s2_nat_1__e15_64__modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) & v7_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( ( r1_xxreal_0(1,k5_numbers) => ( r1_xxreal_0(B,k5_numbers) | ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(k5_numbers,1)) = D & r1_xxreal_0(k3_finseq_1(D),k3_finseq_1(A)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) => ( r1_xxreal_0(B,E) | ! [F] : ( ( v1_modelc_2(F) & m2_finseq_1(F,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(E,1)) = F & r1_xxreal_0(k3_finseq_1(F),k3_finseq_1(A)) ) ) ) ) => ( r1_xxreal_0(1,k1_nat_1(E,1)) => ( r1_xxreal_0(B,k1_nat_1(E,1)) | ! [G] : ( ( v1_modelc_2(G) & m2_finseq_1(G,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1)) = G & r1_xxreal_0(k3_finseq_1(G),k3_finseq_1(A)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(B,E) | ! [H] : ( ( v1_modelc_2(H) & m2_finseq_1(H,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(E,1)) = H & r1_xxreal_0(k3_finseq_1(H),k3_finseq_1(A)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e15_67_1_1__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(B),k5_numbers) => k8_nat_1(A,D,k5_numbers) = k3_funct_2(k4_ordinal1,A,C,k1_nat_1(k5_numbers,1)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(k1_afinsq_1(B),E) => k8_nat_1(A,D,E) = k3_funct_2(k4_ordinal1,A,C,k1_nat_1(E,1)) ) => ( ~ r1_xxreal_0(k1_afinsq_1(B),k1_nat_1(E,1)) => k8_nat_1(A,D,k1_nat_1(E,1)) = k3_funct_2(k4_ordinal1,A,C,k1_nat_1(k1_nat_1(E,1),1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_afinsq_1(B),E) => k8_nat_1(A,D,E) = k3_funct_2(k4_ordinal1,A,C,k1_nat_1(E,1)) ) ) ) ) )).
fof(s2_nat_1__e15_74_1_1_1_2__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v8_rewrite1(A) & v1_relat_1(B) & v8_rewrite1(B) & m1_rewrite1(C,k2_xboole_0(A,B)) & v7_ordinal1(D) & m1_rewrite1(E,k2_xboole_0(A,B)) ) => ( ( ~ ( r2_tarski(k5_numbers,k4_finseq_1(E)) & ! [F] : ~ ( r1_rewrite1(k2_xboole_0(A,B),k1_funct_1(C,k1_nat_1(D,1)),F) & ( r1_rewrite1(A,k1_funct_1(E,k5_numbers),F) | r1_rewrite1(B,k1_funct_1(E,k5_numbers),F) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r2_tarski(G,k4_finseq_1(E)) & ! [H] : ~ ( r1_rewrite1(k2_xboole_0(A,B),k1_funct_1(C,k1_nat_1(D,1)),H) & ( r1_rewrite1(A,k1_funct_1(E,G),H) | r1_rewrite1(B,k1_funct_1(E,G),H) ) ) ) => ~ ( r2_tarski(k1_nat_1(G,1),k4_finseq_1(E)) & ! [I] : ~ ( r1_rewrite1(k2_xboole_0(A,B),k1_funct_1(C,k1_nat_1(D,1)),I) & ( r1_rewrite1(A,k1_funct_1(E,k1_nat_1(G,1)),I) | r1_rewrite1(B,k1_funct_1(E,k1_nat_1(G,1)),I) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(E)) & ! [J] : ~ ( r1_rewrite1(k2_xboole_0(A,B),k1_funct_1(C,k1_nat_1(D,1)),J) & ( r1_rewrite1(A,k1_funct_1(E,G),J) | r1_rewrite1(B,k1_funct_1(E,G),J) ) ) ) ) ) ) )).
fof(s2_nat_1__e15_78__zf_lang,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( ( r1_xxreal_0(1,k5_numbers) => ( r1_xxreal_0(B,k5_numbers) | ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(k5_numbers,1)) = D & r1_xxreal_0(k3_finseq_1(D),k3_finseq_1(A)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) => ( r1_xxreal_0(B,E) | ! [F] : ( ( v1_zf_lang(F) & m2_finseq_1(F,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(E,1)) = F & r1_xxreal_0(k3_finseq_1(F),k3_finseq_1(A)) ) ) ) ) => ( r1_xxreal_0(1,k1_nat_1(E,1)) => ( r1_xxreal_0(B,k1_nat_1(E,1)) | ! [G] : ( ( v1_zf_lang(G) & m2_finseq_1(G,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1)) = G & r1_xxreal_0(k3_finseq_1(G),k3_finseq_1(A)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(B,E) | ! [H] : ( ( v1_zf_lang(H) & m2_finseq_1(H,k4_ordinal1) ) => ~ ( k1_funct_1(C,k1_nat_1(E,1)) = H & r1_xxreal_0(k3_finseq_1(H),k3_finseq_1(A)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e15_87__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_valued_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,A)) => k8_nat_1(k1_numbers,C,k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k1_relset_1(k4_ordinal1,A)) => k8_nat_1(k1_numbers,C,D) = k8_nat_1(k1_numbers,k3_series_1(B),D) ) => ( r2_tarski(k1_nat_1(D,1),k1_relset_1(k4_ordinal1,A)) => k8_nat_1(k1_numbers,C,k1_nat_1(D,1)) = k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,A)) => k8_nat_1(k1_numbers,C,D) = k8_nat_1(k1_numbers,k3_series_1(B),D) ) ) ) ) )).
fof(s2_nat_1__e15_88_1_1__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,A)) => r1_xxreal_0(k8_nat_1(k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,C,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k1_relset_1(k4_ordinal1,A)) => r1_xxreal_0(k8_nat_1(k1_numbers,B,D),k8_nat_1(k1_numbers,C,D)) ) => ( r2_tarski(k1_nat_1(D,1),k1_relset_1(k4_ordinal1,A)) => r1_xxreal_0(k8_nat_1(k1_numbers,B,k1_nat_1(D,1)),k8_nat_1(k1_numbers,C,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,A)) => r1_xxreal_0(k8_nat_1(k1_numbers,B,D),k8_nat_1(k1_numbers,C,D)) ) ) ) ) )).
fof(s2_nat_1__e162__seq_4,axiom,( ( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(A) = k5_numbers => ( A = k1_xboole_0 | ( v4_xxreal_2(A) & r2_hidden(k2_seq_4(A),A) & v3_xxreal_2(A) & r2_hidden(k3_seq_4(A),A) ) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(C) = B => ( C = k1_xboole_0 | ( v4_xxreal_2(C) & r2_hidden(k2_seq_4(C),C) & v3_xxreal_2(C) & r2_hidden(k3_seq_4(C),C) ) ) ) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(D) = k1_nat_1(B,1) => ( D = k1_xboole_0 | ( v4_xxreal_2(D) & r2_hidden(k2_seq_4(D),D) & v3_xxreal_2(D) & r2_hidden(k3_seq_4(D),D) ) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) ) => ( k4_card_1(E) = B => ( E = k1_xboole_0 | ( v4_xxreal_2(E) & r2_hidden(k2_seq_4(E),E) & v3_xxreal_2(E) & r2_hidden(k3_seq_4(E),E) ) ) ) ) ) )).
fof(s2_nat_1__e16_11__bhsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m2_finseq_1(D,k1_numbers) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(D)) ) => k8_nat_1(k1_numbers,E,k5_numbers) = k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_normsp_0(A,C,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(D)) ) => k8_nat_1(k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_normsp_0(A,C,F)) ) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(D)) ) => k8_nat_1(k1_numbers,E,k1_nat_1(F,1)) = k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_normsp_0(A,C,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(D)) ) => k8_nat_1(k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,B,k1_normsp_0(A,C,F)) ) ) ) ) )).
fof(s2_nat_1__e16_124__exchsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) & v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_exchsort(B) & v1_finset_1(C) & m2_exchsort(C,A,B) & v3_ordinal1(D) ) => ( ( ( r2_tarski(k10_ordinal2(D,k5_numbers),k9_xtuple_0(C)) => m1_exchsort(k1_funct_1(C,k10_ordinal2(D,k5_numbers)),B) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(k10_ordinal2(D,E),k9_xtuple_0(C)) => m1_exchsort(k1_funct_1(C,k10_ordinal2(D,E)),B) ) => ( r2_tarski(k10_ordinal2(D,k1_nat_1(E,1)),k9_xtuple_0(C)) => m1_exchsort(k1_funct_1(C,k10_ordinal2(D,k1_nat_1(E,1))),B) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k10_ordinal2(D,E),k9_xtuple_0(C)) => m1_exchsort(k1_funct_1(C,k10_ordinal2(D,E)),B) ) ) ) ) )).
fof(s2_nat_1__e16_14_1_1__measure4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_measure4(B,A) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( ( r2_tarski(k8_nat_1(C,D,k5_numbers),k1_measure4(A,B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k8_nat_1(C,D,E),k1_measure4(A,B)) => r2_tarski(k8_nat_1(C,D,k1_nat_1(E,1)),k1_measure4(A,B)) ) ) ) => ! [E] : ( v7_ordinal1(E) => r2_tarski(k8_nat_1(C,D,E),k1_measure4(A,B)) ) ) ) )).
fof(s2_nat_1__e16_159__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),k2_partfun1(k4_ordinal1,u1_struct_0(A),C,k5_card_1(k1_nat_1(k5_numbers,1)))),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k2_relset_1(u1_struct_0(A),k2_partfun1(k4_ordinal1,u1_struct_0(A),C,k5_card_1(k1_nat_1(D,1)))),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,D)) => r1_tarski(k2_relset_1(u1_struct_0(A),k2_partfun1(k4_ordinal1,u1_struct_0(A),C,k5_card_1(k1_nat_1(k1_nat_1(D,1),1)))),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k2_relset_1(u1_struct_0(A),k2_partfun1(k4_ordinal1,u1_struct_0(A),C,k5_card_1(k1_nat_1(D,1)))),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,D)) ) ) ) )).
fof(s2_nat_1__e16_15__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m1_henmodel(C,A,B) & m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( F = k1_funct_1(o_3_0_goedelcp(A,D,E),k5_numbers) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,F)) & ( r1_henmodel(A,B,F) => r1_valuat_1(A,k1_henmodel(A),F,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),F,C,k3_henmodel(A)) => r1_henmodel(A,B,F) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( H = k1_funct_1(o_3_0_goedelcp(A,D,E),G) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,H)) & ( r1_henmodel(A,B,H) => r1_valuat_1(A,k1_henmodel(A),H,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),H,C,k3_henmodel(A)) => r1_henmodel(A,B,H) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(G,1)) & r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( I = k1_funct_1(o_3_0_goedelcp(A,D,E),k1_nat_1(G,1)) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,I)) & ( r1_henmodel(A,B,I) => r1_valuat_1(A,k1_henmodel(A),I,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),I,C,k3_henmodel(A)) => r1_henmodel(A,B,I) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [J] : ( m2_subset_1(J,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( J = k1_funct_1(o_3_0_goedelcp(A,D,E),G) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,J)) & ( r1_henmodel(A,B,J) => r1_valuat_1(A,k1_henmodel(A),J,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),J,C,k3_henmodel(A)) => r1_henmodel(A,B,J) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e16_15__measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & v1_prob_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)),k5_numbers) = k12_supinf_2(C,k8_nat_1(B,E,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)),F) = k12_supinf_2(C,k8_nat_1(B,E,F)) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)),k1_nat_1(F,1)) = k12_supinf_2(C,k8_nat_1(B,E,k1_nat_1(F,1))) ) ) ) => ! [F] : ( v7_ordinal1(F) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)),F) = k12_supinf_2(C,k8_nat_1(B,E,F)) ) ) ) )).
fof(s2_nat_1__e16_20__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k6_numbers) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => ( ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k12_supinf_2(C,k5_numbers),k2_supinf_1) ) & ( r1_xxreal_0(B,k5_numbers) => k12_supinf_2(C,k5_numbers) = k1_supinf_1 ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k3_finseq_1(A)) => ( ~ ( ~ r1_xxreal_0(B,D) & r1_xxreal_0(k12_supinf_2(C,D),k2_supinf_1) ) & ( r1_xxreal_0(B,D) => k12_supinf_2(C,D) = k1_supinf_1 ) ) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) => ( ~ ( ~ r1_xxreal_0(B,k1_nat_1(D,1)) & r1_xxreal_0(k12_supinf_2(C,k1_nat_1(D,1)),k2_supinf_1) ) & ( r1_xxreal_0(B,k1_nat_1(D,1)) => k12_supinf_2(C,k1_nat_1(D,1)) = k1_supinf_1 ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(A)) => ( ~ ( ~ r1_xxreal_0(B,D) & r1_xxreal_0(k12_supinf_2(C,D),k2_supinf_1) ) & ( r1_xxreal_0(B,D) => k12_supinf_2(C,D) = k1_supinf_1 ) ) ) ) ) ) )).
fof(s2_nat_1__e16_2_1_7_1_1__mesfunc4,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => k12_supinf_2(B,k5_numbers) = k1_supinf_2 ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),C) => k12_supinf_2(B,C) = k1_supinf_2 ) => ( ~ r1_xxreal_0(k3_finseq_1(A),k1_nat_1(C,1)) => k12_supinf_2(B,k1_nat_1(C,1)) = k1_supinf_2 ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(A),C) => k12_supinf_2(B,C) = k1_supinf_2 ) ) ) ) )).
fof(s2_nat_1__e16_41__calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_finseq_1(C,k3_cqc_lang(A)) & m2_finseq_1(D,k3_cqc_lang(A)) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( E = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),k5_numbers) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,k12_finseq_1(k3_cqc_lang(A),B)),k12_finseq_1(k3_cqc_lang(A),E))) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( G = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),F) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,k12_finseq_1(k3_cqc_lang(A),B)),k12_finseq_1(k3_cqc_lang(A),G))) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( H = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),k1_nat_1(F,1)) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,k12_finseq_1(k3_cqc_lang(A),B)),k12_finseq_1(k3_cqc_lang(A),H))) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(k4_finseq_5(k3_cqc_lang(A),D))) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( I = k1_funct_1(k4_finseq_5(k3_cqc_lang(A),D),F) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,k12_finseq_1(k3_cqc_lang(A),B)),k12_finseq_1(k3_cqc_lang(A),I))) ) ) ) ) ) ) )).
fof(s2_nat_1__e16_45__scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => ( ( ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmfsa_2)) ) => ( F != G => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k5_numbers),G) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k5_numbers),G) ) ) & ! [G] : ( m1_scmfsa_2(G) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k5_numbers),G) = k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k5_numbers),G) ) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k5_numbers)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k5_numbers)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k5_numbers)) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k5_numbers)) & ! [H] : ( v7_ordinal1(H) => ( ( ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ( F != I => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H),I) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H),I) ) ) & ! [I] : ( m1_scmfsa_2(I) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H),I) = k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H),I) ) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H)) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H)) ) => ( ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmfsa_2)) ) => ( F != J => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k1_nat_1(H,1)),J) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(H,1)),J) ) ) & ! [J] : ( m1_scmfsa_2(J) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k1_nat_1(H,1)),J) = k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(H,1)),J) ) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k1_nat_1(H,1))) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(H,1))) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),k1_nat_1(H,1))) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(H,1))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmfsa_2)) ) => ( F != K => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H),K) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H),K) ) ) & ! [K] : ( m1_scmfsa_2(K) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H),K) = k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H),K) ) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,C),H)) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,E),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),H)) ) ) ) ) )).
fof(s2_nat_1__e16_46__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) & m1_matrlin(D,A,C) & m1_matrixj2(E,A,B) & v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(D)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,k4_matrlin2(A,C,C,D,D,F),k5_numbers),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) = k3_vectsp_1(A,C,k1_laplace(A,k4_group_1(A),B,k5_numbers),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) & ! [G] : ( v7_ordinal1(G) => ( k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,k4_matrlin2(A,C,C,D,D,F),G),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) = k3_vectsp_1(A,C,k1_laplace(A,k4_group_1(A),B,G),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) => k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,k4_matrlin2(A,C,C,D,D,F),k1_nat_1(G,1)),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) = k3_vectsp_1(A,C,k1_laplace(A,k4_group_1(A),B,k1_nat_1(G,1)),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) ) ) ) => ! [G] : ( v7_ordinal1(G) => k3_funct_2(u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,k4_matrlin2(A,C,C,D,D,F),G),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) = k3_vectsp_1(A,C,k1_laplace(A,k4_group_1(A),B,G),k7_partfun1(u1_struct_0(C),D,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,k1_matrixj1(k10_matrixj1(u1_struct_0(A),E),k3_finseq_1(D)),E))))) ) ) ) )).
fof(s2_nat_1__e16_47_2_1_4_1__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & m2_finseq_1(C,k4_ordinal1) & m2_finseq_1(D,k1_euclid(A)) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(E,1)),k1_nat_1(k5_numbers,1)) => ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1)),k1_nat_1(k5_numbers,1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k5_numbers,1)) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(E,1)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(E,1)),k1_nat_1(F,1)) => ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1)),k1_nat_1(F,1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(F,1)) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(E,1)) ) ) => ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(E,1)),k1_nat_1(k1_nat_1(F,1),1)) => ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1)),k1_nat_1(k1_nat_1(F,1),1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k1_nat_1(F,1),1)) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(E,1)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(E,1)),k1_nat_1(F,1)) => ( r1_xxreal_0(k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1)),k1_nat_1(F,1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(F,1)) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(E,1)) ) ) ) ) ) )).
fof(s2_nat_1__e16_57__rlvect_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( k3_finseq_1(F) = k5_numbers & F = k5_relat_1(B,k2_finseq_1(k5_numbers)) & r1_xxreal_0(k3_finseq_1(F),k3_finseq_1(C)) ) => k8_nat_1(u1_struct_0(A),E,k3_finseq_1(F)) = k8_nat_1(u1_struct_0(A),D,k3_finseq_1(F)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( k3_finseq_1(H) = G & H = k5_relat_1(B,k2_finseq_1(G)) & r1_xxreal_0(k3_finseq_1(H),k3_finseq_1(C)) ) => k8_nat_1(u1_struct_0(A),E,k3_finseq_1(H)) = k8_nat_1(u1_struct_0(A),D,k3_finseq_1(H)) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( ( k3_finseq_1(I) = k1_nat_1(G,1) & I = k5_relat_1(B,k2_finseq_1(k1_nat_1(G,1))) & r1_xxreal_0(k3_finseq_1(I),k3_finseq_1(C)) ) => k8_nat_1(u1_struct_0(A),E,k3_finseq_1(I)) = k8_nat_1(u1_struct_0(A),D,k3_finseq_1(I)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(J) = G & J = k5_relat_1(B,k2_finseq_1(G)) & r1_xxreal_0(k3_finseq_1(J),k3_finseq_1(C)) ) => k8_nat_1(u1_struct_0(A),E,k3_finseq_1(J)) = k8_nat_1(u1_struct_0(A),D,k3_finseq_1(J)) ) ) ) ) ) )).
fof(s2_nat_1__e16_90_1_2__comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( ! [D] : ~ ( r2_tarski(D,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,k5_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( D = k2_funct_7(k4_ordinal1,B,A,E) & r1_xxreal_0(E,k5_numbers) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ~ ( r2_tarski(G,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,F))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( G = k2_funct_7(k4_ordinal1,B,A,H) & r1_xxreal_0(H,F) ) ) ) => ! [I] : ~ ( r2_tarski(I,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,k1_nat_1(F,1)))) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( I = k2_funct_7(k4_ordinal1,B,A,J) & r1_xxreal_0(J,k1_nat_1(F,1)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ~ ( r2_tarski(K,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,F))) & ! [L] : ( m1_subset_1(L,k4_ordinal1) => ~ ( K = k2_funct_7(k4_ordinal1,B,A,L) & r1_xxreal_0(L,F) ) ) ) ) ) ) )).
fof(s2_nat_1__e172__seq_4,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(A)) = k5_numbers & ! [B] : ( m2_finseq_1(B,k1_numbers) => ~ ( k1_rvsum_1(B) = k1_rvsum_1(A) & k3_finseq_1(B) = k4_card_1(k1_rvsum_1(A)) & v5_valued_0(B) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(D)) = C & ! [E] : ( m2_finseq_1(E,k1_numbers) => ~ ( k1_rvsum_1(E) = k1_rvsum_1(D) & k3_finseq_1(E) = k4_card_1(k1_rvsum_1(D)) & v5_valued_0(E) ) ) ) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(F)) = k1_nat_1(C,1) & ! [G] : ( m2_finseq_1(G,k1_numbers) => ~ ( k1_rvsum_1(G) = k1_rvsum_1(F) & k3_finseq_1(G) = k4_card_1(k1_rvsum_1(F)) & v5_valued_0(G) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ~ ( k4_card_1(k1_rvsum_1(H)) = C & ! [I] : ( m2_finseq_1(I,k1_numbers) => ~ ( k1_rvsum_1(I) = k1_rvsum_1(H) & k3_finseq_1(I) = k4_card_1(k1_rvsum_1(H)) & v5_valued_0(I) ) ) ) ) ) )).
fof(s2_nat_1__e176__seq_4,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers & k3_finseq_1(B) = k5_numbers & k1_rvsum_1(A) = k1_rvsum_1(B) & v5_valued_0(A) & v5_valued_0(B) ) => A = B ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( ( k3_finseq_1(D) = C & k3_finseq_1(E) = C & k1_rvsum_1(D) = k1_rvsum_1(E) & v5_valued_0(D) & v5_valued_0(E) ) => D = E ) ) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ! [G] : ( m2_finseq_1(G,k1_numbers) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & k3_finseq_1(G) = k1_nat_1(C,1) & k1_rvsum_1(F) = k1_rvsum_1(G) & v5_valued_0(F) & v5_valued_0(G) ) => F = G ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(H) = C & k3_finseq_1(I) = C & k1_rvsum_1(H) = k1_rvsum_1(I) & v5_valued_0(H) & v5_valued_0(I) ) => H = I ) ) ) ) )).
fof(s2_nat_1__e17_100_1_2_1__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & m2_finseq_1(D,k1_euclid(A)) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k1_nat_1(k3_finseq_1(C),1)) & ! [E] : ( m2_finseq_1(E,k1_euclid(A)) => ~ ( k3_finseq_1(E) = k5_numbers & ( r1_xxreal_0(k5_numbers,k3_finseq_1(C)) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(E,k5_numbers) != k9_euclid(A,k7_partfun1(k1_euclid(A),D,k5_numbers),F) ) ) & k1_funct_1(E,1) = B & ! [F] : ( v7_ordinal1(F) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ( ( r1_xxreal_0(1,F) & G = k7_partfun1(k1_euclid(A),E,F) & H = k7_partfun1(k1_euclid(A),D,F) ) => ( r1_xxreal_0(k5_numbers,F) | ( k7_partfun1(k1_euclid(A),E,k1_nat_1(F,1)) != k5_euclid(A) & k1_funct_1(E,k1_nat_1(F,1)) = k8_euclid(A,k7_partfun1(k1_euclid(A),E,F),k9_euclid(A,k7_partfun1(k1_euclid(A),D,F),k22_rvsum_1(G,H))) ) ) ) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ~ ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k1_nat_1(k3_finseq_1(C),1)) & ! [J] : ( m2_finseq_1(J,k1_euclid(A)) => ~ ( k3_finseq_1(J) = I & ( r1_xxreal_0(I,k3_finseq_1(C)) => ! [K] : ( v1_xreal_0(K) => k1_funct_1(J,I) != k9_euclid(A,k7_partfun1(k1_euclid(A),D,I),K) ) ) & k1_funct_1(J,1) = B & ! [K] : ( v7_ordinal1(K) => ! [L] : ( m2_finseq_2(L,k1_numbers,k1_euclid(A)) => ! [M] : ( m2_finseq_2(M,k1_numbers,k1_euclid(A)) => ( ( r1_xxreal_0(1,K) & L = k7_partfun1(k1_euclid(A),J,K) & M = k7_partfun1(k1_euclid(A),D,K) ) => ( r1_xxreal_0(I,K) | ( k7_partfun1(k1_euclid(A),J,k1_nat_1(K,1)) != k5_euclid(A) & k1_funct_1(J,k1_nat_1(K,1)) = k8_euclid(A,k7_partfun1(k1_euclid(A),J,K),k9_euclid(A,k7_partfun1(k1_euclid(A),D,K),k22_rvsum_1(L,M))) ) ) ) ) ) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(I,1)) & r1_xxreal_0(k1_nat_1(I,1),k1_nat_1(k3_finseq_1(C),1)) & ! [N] : ( m2_finseq_1(N,k1_euclid(A)) => ~ ( k3_finseq_1(N) = k1_nat_1(I,1) & ( r1_xxreal_0(k1_nat_1(I,1),k3_finseq_1(C)) => ! [O] : ( v1_xreal_0(O) => k1_funct_1(N,k1_nat_1(I,1)) != k9_euclid(A,k7_partfun1(k1_euclid(A),D,k1_nat_1(I,1)),O) ) ) & k1_funct_1(N,1) = B & ! [O] : ( v7_ordinal1(O) => ! [P] : ( m2_finseq_2(P,k1_numbers,k1_euclid(A)) => ! [Q] : ( m2_finseq_2(Q,k1_numbers,k1_euclid(A)) => ( ( r1_xxreal_0(1,O) & P = k7_partfun1(k1_euclid(A),N,O) & Q = k7_partfun1(k1_euclid(A),D,O) ) => ( r1_xxreal_0(k1_nat_1(I,1),O) | ( k7_partfun1(k1_euclid(A),N,k1_nat_1(O,1)) != k5_euclid(A) & k1_funct_1(N,k1_nat_1(O,1)) = k8_euclid(A,k7_partfun1(k1_euclid(A),N,O),k9_euclid(A,k7_partfun1(k1_euclid(A),D,O),k22_rvsum_1(P,Q))) ) ) ) ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k1_nat_1(k3_finseq_1(C),1)) & ! [R] : ( m2_finseq_1(R,k1_euclid(A)) => ~ ( k3_finseq_1(R) = I & ( r1_xxreal_0(I,k3_finseq_1(C)) => ! [S] : ( v1_xreal_0(S) => k1_funct_1(R,I) != k9_euclid(A,k7_partfun1(k1_euclid(A),D,I),S) ) ) & k1_funct_1(R,1) = B & ! [S] : ( v7_ordinal1(S) => ! [T] : ( m2_finseq_2(T,k1_numbers,k1_euclid(A)) => ! [U] : ( m2_finseq_2(U,k1_numbers,k1_euclid(A)) => ( ( r1_xxreal_0(1,S) & T = k7_partfun1(k1_euclid(A),R,S) & U = k7_partfun1(k1_euclid(A),D,S) ) => ( r1_xxreal_0(I,S) | ( k7_partfun1(k1_euclid(A),R,k1_nat_1(S,1)) != k5_euclid(A) & k1_funct_1(R,k1_nat_1(S,1)) = k8_euclid(A,k7_partfun1(k1_euclid(A),R,S),k9_euclid(A,k7_partfun1(k1_euclid(A),D,S),k22_rvsum_1(T,U))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e17_11__topmetr3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,B,C)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(C,1)),k8_nat_1(k1_numbers,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,B,C)) ) ) ) )).
fof(s2_nat_1__e17_12_1_1__ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,D) & D = k2_xcmplx_0(k5_numbers,E) ) => ( r1_tarski(k8_nat_1(A,B,D),k8_nat_1(A,B,E)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( D != E & F = k8_nat_1(k4_ordinal1,C,D) & G = k8_nat_1(k4_ordinal1,C,E) & r1_xxreal_0(F,G) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(J,I) & I = k2_xcmplx_0(H,J) ) => ( r1_tarski(k8_nat_1(A,B,I),k8_nat_1(A,B,J)) & ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ~ ( I != J & K = k8_nat_1(k4_ordinal1,C,I) & L = k8_nat_1(k4_ordinal1,C,J) & r1_xxreal_0(K,L) ) ) ) ) ) ) ) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ( ( r1_xxreal_0(N,M) & M = k2_xcmplx_0(k1_nat_1(H,1),N) ) => ( r1_tarski(k8_nat_1(A,B,M),k8_nat_1(A,B,N)) & ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => ~ ( M != N & O = k8_nat_1(k4_ordinal1,C,M) & P = k8_nat_1(k4_ordinal1,C,N) & r1_xxreal_0(O,P) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( v7_ordinal1(R) => ( ( r1_xxreal_0(R,Q) & Q = k2_xcmplx_0(H,R) ) => ( r1_tarski(k8_nat_1(A,B,Q),k8_nat_1(A,B,R)) & ! [S] : ( v7_ordinal1(S) => ! [T] : ( v7_ordinal1(T) => ~ ( Q != R & S = k8_nat_1(k4_ordinal1,C,Q) & T = k8_nat_1(k4_ordinal1,C,R) & r1_xxreal_0(S,T) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e17_12__topmetr3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,A,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k8_nat_1(k1_numbers,A,C)) => r1_xxreal_0(k8_nat_1(k1_numbers,B,k1_nat_1(C,1)),k8_nat_1(k1_numbers,A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k8_nat_1(k1_numbers,A,C)) ) ) ) )).
fof(s2_nat_1__e17_13__matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),k5_numbers,k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k5_struct_0(k2_vectsp_1) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(A,D) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),D,k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k5_struct_0(k2_vectsp_1) ) => ( ~ r1_xxreal_0(A,k1_nat_1(D,1)) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),k1_nat_1(D,1),k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k5_struct_0(k2_vectsp_1) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(A,D) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),D,k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k5_struct_0(k2_vectsp_1) ) ) ) ) )).
fof(s2_nat_1__e17_14__scmbsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(D) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(F,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(G,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,k5_numbers)),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,k5_numbers)),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,k5_numbers)),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,k5_numbers)),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) & ! [H] : ( v7_ordinal1(H) => ( ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,H)),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,H)),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,H)),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,H)),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) ) => ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,k1_nat_1(H,1))),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,k1_nat_1(H,1))),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,k1_nat_1(H,1))),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,k1_nat_1(H,1))),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,H)),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,H)),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,k2_xcmplx_0(C,H)),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,k2_xcmplx_0(C,H)),k2_xboole_0(k2_xboole_0(k9_xtuple_0(D),k6_sf_mastr(E)),k3_sf_mastr(E))) ) ) ) ) )).
fof(s2_nat_1__e17_160__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k10_msafree4(A,B,C)),u3_msualg_1(A,k10_msafree4(A,B,C))) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,u4_struct_0(A)) & m1_subset_1(H,k3_msualg_1(A,G,k10_msafree4(A,B,C))) & m1_subset_1(I,k3_msualg_1(A,G,k1_msafree3(A,B))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(k1_msualg_1(A,G))) => k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k16_finseq_1(k5_numbers,k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k1_rfinseq(k5_numbers,k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) ) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(J,k3_finseq_1(k1_msualg_1(A,G))) => k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k16_finseq_1(J,k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k1_rfinseq(J,k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) ) => ( r1_xxreal_0(k1_nat_1(J,1),k3_finseq_1(k1_msualg_1(A,G))) => k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k16_finseq_1(k1_nat_1(J,1),k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k1_rfinseq(k1_nat_1(J,1),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,k3_finseq_1(k1_msualg_1(A,G))) => k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k16_finseq_1(J,k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k1_rfinseq(J,k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) ) ) ) ) )).
fof(s2_nat_1__e17_20__scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) ) ) ) )).
fof(s2_nat_1__e17_23__amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & ~ v2_compos_1(D,B) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(B)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,k5_numbers),k10_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),k5_numbers),C)) & ! [H] : ( v7_ordinal1(H) => ( r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,H),k10_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),H),C)) => r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,k1_nat_1(H,1)),k10_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),k1_nat_1(H,1)),C)) ) ) ) => ! [H] : ( v7_ordinal1(H) => r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,H),k10_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),H),C)) ) ) ) )).
fof(s2_nat_1__e17_31__series_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(C,k5_numbers)),k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2))),k3_xcmplx_0(k8_nat_1(k1_numbers,A,C),k2_power(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2)),k4_xcmplx_0(C)))),k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2))),k3_xcmplx_0(k8_nat_1(k1_numbers,A,C),k2_power(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2)),k4_xcmplx_0(C)))),k2_xcmplx_0(C,D))) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(C,k1_nat_1(D,1))),k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2))),k3_xcmplx_0(k8_nat_1(k1_numbers,A,C),k2_power(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2)),k4_xcmplx_0(C)))),k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2))),k3_xcmplx_0(k8_nat_1(k1_numbers,A,C),k2_power(k6_xcmplx_0(1,k7_xcmplx_0(k6_xcmplx_0(1,k1_seq_2(B)),2)),k4_xcmplx_0(C)))),k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e17_33_1__fin_topo,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m2_finseq_1(B,k9_setfam_1(u1_struct_0(A))) ) => ( ( ~ ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(k5_numbers,1)) = k1_xboole_0 ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( ~ r1_xxreal_0(k3_finseq_1(B),C) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(C,1)) = k1_xboole_0 ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(B),k1_nat_1(C,1)) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(k1_nat_1(C,1),1)) = k1_xboole_0 ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(k3_finseq_1(B),C) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(C,1)) = k1_xboole_0 ) ) ) ) )).
fof(s2_nat_1__e17_35__huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_finseq_1(B,k4_ordinal1) ) => ( ( ( ~ r1_xxreal_0(k4_card_1(A),k5_numbers) => k1_funct_1(B,k1_nat_1(k5_numbers,1)) = k6_xcmplx_0(k1_funct_1(B,1),k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k4_card_1(A),C) => k1_funct_1(B,k1_nat_1(C,1)) = k6_xcmplx_0(k1_funct_1(B,1),C) ) => ( ~ r1_xxreal_0(k4_card_1(A),k1_nat_1(C,1)) => k1_funct_1(B,k1_nat_1(k1_nat_1(C,1),1)) = k6_xcmplx_0(k1_funct_1(B,1),k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k4_card_1(A),C) => k1_funct_1(B,k1_nat_1(C,1)) = k6_xcmplx_0(k1_funct_1(B,1),C) ) ) ) ) )).
fof(s2_nat_1__e17_36__scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) ) ) ) )).
fof(s2_nat_1__e17_38__topgen_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),B),k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),B),k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),k2_xcmplx_0(B,C))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),B),k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),B),k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(A,k7_xcmplx_0(1,2))),k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e17_39__goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))))) ) => ( ( v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),A) => v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),A) ) ) ) )).
fof(s2_nat_1__e17_41_2__jordan1h,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(F,G),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,F,G) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),k5_numbers) & r1_xxreal_0(E,F) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ~ ( r2_hidden(k4_tarski(I,J),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,I,J) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),H) & r1_xxreal_0(E,I) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ~ ( r2_hidden(k4_tarski(K,L),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,K,L) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),k1_nat_1(H,1)) & r1_xxreal_0(E,K) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ~ ( r2_hidden(k4_tarski(M,N),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,M,N) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),H) & r1_xxreal_0(E,M) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e17_42_2__jordan1h,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(F,G),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,F,G) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),k5_numbers) & r1_xxreal_0(E,G) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ~ ( r2_hidden(k4_tarski(I,J),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,I,J) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),H) & r1_xxreal_0(E,J) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ~ ( r2_hidden(k4_tarski(K,L),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,K,L) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),k1_nat_1(H,1)) & r1_xxreal_0(E,L) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D))) ) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ~ ( r2_hidden(k4_tarski(M,N),k2_matrix_0(B)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),B,M,N) = k1_funct_1(k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D),H) & r1_xxreal_0(E,N) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e17_4_1__polynom5,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( r1_xxreal_0(k5_numbers,k18_rvsum_1(k17_finseq_1(k1_numbers,k5_numbers,A))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k18_rvsum_1(k17_finseq_1(k1_numbers,B,A))) => r1_xxreal_0(k5_numbers,k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(B,1),A))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k18_rvsum_1(k17_finseq_1(k1_numbers,B,A))) ) ) ) )).
fof(s2_nat_1__e17_63_1_1_2__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(k1_ordinal4(B,k5_afinsq_1(C))),k1_nat_1(k5_numbers,1)) => k8_nat_1(A,E,k5_numbers) = k8_nat_1(A,D,k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(k1_afinsq_1(k1_ordinal4(B,k5_afinsq_1(C))),k1_nat_1(F,1)) => k8_nat_1(A,E,F) = k8_nat_1(A,D,F) ) => ( ~ r1_xxreal_0(k1_afinsq_1(k1_ordinal4(B,k5_afinsq_1(C))),k1_nat_1(k1_nat_1(F,1),1)) => k8_nat_1(A,E,k1_nat_1(F,1)) = k8_nat_1(A,D,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(k1_afinsq_1(k1_ordinal4(B,k5_afinsq_1(C))),k1_nat_1(F,1)) => k8_nat_1(A,E,F) = k8_nat_1(A,D,F) ) ) ) ) )).
fof(s2_nat_1__e17_76__fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_fintopo6(A,B)))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,k7_fintopo3(k1_fintopo6(A,B),D,k5_numbers)) & ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ~ ( v2_fintopo6(F,A) & r1_tarski(k2_relset_1(u1_struct_0(A),F),B) & k1_funct_1(F,1) = C & k1_funct_1(F,k3_finseq_1(F)) = E & r1_xxreal_0(k3_finseq_1(F),k1_nat_1(k5_numbers,1)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,k7_fintopo3(k1_fintopo6(A,B),D,G)) & ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ~ ( v2_fintopo6(I,A) & r1_tarski(k2_relset_1(u1_struct_0(A),I),B) & k1_funct_1(I,1) = C & k1_funct_1(I,k3_finseq_1(I)) = H & r1_xxreal_0(k3_finseq_1(I),k1_nat_1(G,1)) ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_tarski(J,k7_fintopo3(k1_fintopo6(A,B),D,k1_nat_1(G,1))) & ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ~ ( v2_fintopo6(K,A) & r1_tarski(k2_relset_1(u1_struct_0(A),K),B) & k1_funct_1(K,1) = C & k1_funct_1(K,k3_finseq_1(K)) = J & r1_xxreal_0(k3_finseq_1(K),k1_nat_1(k1_nat_1(G,1),1)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ~ ( r2_tarski(L,k7_fintopo3(k1_fintopo6(A,B),D,G)) & ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ~ ( v2_fintopo6(M,A) & r1_tarski(k2_relset_1(u1_struct_0(A),M),B) & k1_funct_1(M,1) = C & k1_funct_1(M,k3_finseq_1(M)) = L & r1_xxreal_0(k3_finseq_1(M),k1_nat_1(G,1)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e17_8__jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( ~ ( r1_xxreal_0(1,k1_nat_1(k5_numbers,2)) & r1_xxreal_0(k1_nat_1(k5_numbers,2),k3_finseq_1(A)) & ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( B = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(k5_numbers,2),A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k1_nat_1(k5_numbers,2)) & v3_tops_2(D,k17_borsuk_1,k1_pre_topc(k15_euclid(2),B)) & k1_funct_1(D,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(D,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k5_numbers,2)) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,E) & r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,1) & r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,1) & k2_topreal1(2,A,C) = k7_relset_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),B)),D,k1_rcomp_1(E,F)) & k1_funct_1(D,E) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) & k1_funct_1(D,F) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) ) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r1_xxreal_0(1,k1_nat_1(G,2)) & r1_xxreal_0(k1_nat_1(G,2),k3_finseq_1(A)) & ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( H = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(G,2),A)) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),H))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),H))))) ) => ~ ( r1_xxreal_0(1,I) & r1_xxreal_0(k1_nat_1(I,1),k1_nat_1(G,2)) & v3_tops_2(J,k17_borsuk_1,k1_pre_topc(k15_euclid(2),H)) & k1_funct_1(J,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(J,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(G,2)) & ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ~ ( ~ r1_xxreal_0(L,K) & r1_xxreal_0(k5_numbers,K) & r1_xxreal_0(K,1) & r1_xxreal_0(k5_numbers,L) & r1_xxreal_0(L,1) & k2_topreal1(2,A,I) = k7_relset_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),H)),J,k1_rcomp_1(K,L)) & k1_funct_1(J,K) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,I) & k1_funct_1(J,L) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(I,1)) ) ) ) ) ) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(k1_nat_1(G,1),2)) & r1_xxreal_0(k1_nat_1(k1_nat_1(G,1),2),k3_finseq_1(A)) & ! [M] : ( ( ~ v1_xboole_0(M) & m1_subset_1(M,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( M = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(k1_nat_1(G,1),2),A)) & ! [N] : ( v7_ordinal1(N) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),M))) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),M))))) ) => ~ ( r1_xxreal_0(1,N) & r1_xxreal_0(k1_nat_1(N,1),k1_nat_1(k1_nat_1(G,1),2)) & v3_tops_2(O,k17_borsuk_1,k1_pre_topc(k15_euclid(2),M)) & k1_funct_1(O,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(O,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_nat_1(G,1),2)) & ! [P] : ( v1_xreal_0(P) => ! [Q] : ( v1_xreal_0(Q) => ~ ( ~ r1_xxreal_0(Q,P) & r1_xxreal_0(k5_numbers,P) & r1_xxreal_0(P,1) & r1_xxreal_0(k5_numbers,Q) & r1_xxreal_0(Q,1) & k2_topreal1(2,A,N) = k7_relset_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),M)),O,k1_rcomp_1(P,Q)) & k1_funct_1(O,P) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,N) & k1_funct_1(O,Q) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(N,1)) ) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,k1_nat_1(G,2)) & r1_xxreal_0(k1_nat_1(G,2),k3_finseq_1(A)) & ! [R] : ( ( ~ v1_xboole_0(R) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( R = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(G,2),A)) & ! [S] : ( v7_ordinal1(S) => ! [T] : ( ( v1_funct_1(T) & v1_funct_2(T,u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),R))) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),R))))) ) => ~ ( r1_xxreal_0(1,S) & r1_xxreal_0(k1_nat_1(S,1),k1_nat_1(G,2)) & v3_tops_2(T,k17_borsuk_1,k1_pre_topc(k15_euclid(2),R)) & k1_funct_1(T,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(T,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(G,2)) & ! [U] : ( v1_xreal_0(U) => ! [V] : ( v1_xreal_0(V) => ~ ( ~ r1_xxreal_0(V,U) & r1_xxreal_0(k5_numbers,U) & r1_xxreal_0(U,1) & r1_xxreal_0(k5_numbers,V) & r1_xxreal_0(V,1) & k2_topreal1(2,A,S) = k7_relset_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(2),R)),T,k1_rcomp_1(U,V)) & k1_funct_1(T,U) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,S) & k1_funct_1(T,V) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(S,1)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e18_131__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v3_group_1(D) & v5_group_1(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l6_algstr_0(D) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),B,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(D))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(D)))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k6_prvect_1(D,C))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k6_prvect_1(D,C))))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(E)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k6_prvect_1(D,C))) => ( H = k8_nat_1(u1_struct_0(k6_prvect_1(D,C)),G,k5_numbers) => k1_funct_1(H,A) = k8_nat_1(u1_struct_0(D),F,k5_numbers) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(I,k3_finseq_1(E)) => ! [J] : ( m1_subset_1(J,u1_struct_0(k6_prvect_1(D,C))) => ( J = k8_nat_1(u1_struct_0(k6_prvect_1(D,C)),G,I) => k1_funct_1(J,A) = k8_nat_1(u1_struct_0(D),F,I) ) ) ) => ( r1_xxreal_0(k1_nat_1(I,1),k3_finseq_1(E)) => ! [K] : ( m1_subset_1(K,u1_struct_0(k6_prvect_1(D,C))) => ( K = k8_nat_1(u1_struct_0(k6_prvect_1(D,C)),G,k1_nat_1(I,1)) => k1_funct_1(K,A) = k8_nat_1(u1_struct_0(D),F,k1_nat_1(I,1)) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k3_finseq_1(E)) => ! [L] : ( m1_subset_1(L,u1_struct_0(k6_prvect_1(D,C))) => ( L = k8_nat_1(u1_struct_0(k6_prvect_1(D,C)),G,I) => k1_funct_1(L,A) = k8_nat_1(u1_struct_0(D),F,I) ) ) ) ) ) ) )).
fof(s2_nat_1__e18_19_1__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m1_subset_1(C,A) & m2_finseq_1(D,k6_numbers) & m1_subset_1(E,k4_ordinal1) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(D)) => ( ( ~ r1_xxreal_0(E,k5_numbers) => k12_supinf_2(F,k5_numbers) = k1_supinf_2 ) & ( r1_xxreal_0(E,k5_numbers) => k12_supinf_2(F,k5_numbers) = k12_supinf_2(B,C) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,k3_finseq_1(D)) => ( ( ~ r1_xxreal_0(E,G) => k12_supinf_2(F,G) = k1_supinf_2 ) & ( r1_xxreal_0(E,G) => k12_supinf_2(F,G) = k12_supinf_2(B,C) ) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(D)) => ( ( ~ r1_xxreal_0(E,k1_nat_1(G,1)) => k12_supinf_2(F,k1_nat_1(G,1)) = k1_supinf_2 ) & ( r1_xxreal_0(E,k1_nat_1(G,1)) => k12_supinf_2(F,k1_nat_1(G,1)) = k12_supinf_2(B,C) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k3_finseq_1(D)) => ( ( ~ r1_xxreal_0(E,G) => k12_supinf_2(F,G) = k1_supinf_2 ) & ( r1_xxreal_0(E,G) => k12_supinf_2(F,G) = k12_supinf_2(B,C) ) ) ) ) ) ) )).
fof(s2_nat_1__e18_19__bhsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,k1_numbers) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) => k1_funct_1(E,k5_numbers) = k1_funct_1(u1_bhsp_1(A),k4_tarski(B,k1_funct_1(D,k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => k1_funct_1(E,F) = k1_funct_1(u1_bhsp_1(A),k4_tarski(B,k1_funct_1(D,F))) ) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(C)) ) => k1_funct_1(E,k1_nat_1(F,1)) = k1_funct_1(u1_bhsp_1(A),k4_tarski(B,k1_funct_1(D,k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => k1_funct_1(E,F) = k1_funct_1(u1_bhsp_1(A),k4_tarski(B,k1_funct_1(D,F))) ) ) ) ) )).
fof(s2_nat_1__e18_22__scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) ) ) ) )).
fof(s2_nat_1__e18_23_1_2__msualg_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( ~ ( r2_tarski(k5_numbers,k4_finseq_1(A)) & v1_xboole_0(k1_funct_1(A,k5_numbers)) ) & ! [B] : ( v7_ordinal1(B) => ( ~ ( r2_tarski(B,k4_finseq_1(A)) & v1_xboole_0(k1_funct_1(A,B)) ) => ~ ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) & v1_xboole_0(k1_funct_1(A,k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & v1_xboole_0(k1_funct_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e18_27_1_1_2__laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & m1_subset_1(C,k4_ordinal1) & v7_ordinal1(D) & v7_ordinal1(E) & v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),k1_nat_1(A,1),k1_nat_1(A,1)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ( ( ( r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(k5_numbers,k1_nat_1(C,1)) ) => ( ( k5_numbers = 1 => k8_nat_1(u1_struct_0(B),H,k5_numbers) = k3_matrix_0(u1_struct_0(B),F,D,E) ) & ( ~ r1_xxreal_0(k5_numbers,1) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ( I = k1_funct_1(G,k6_xcmplx_0(k5_numbers,1)) => k8_nat_1(u1_struct_0(B),H,k5_numbers) = k8_group_1(B,k3_matrix_0(u1_struct_0(B),F,D,E),I) ) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ( ( r1_xxreal_0(D,J) & r1_xxreal_0(J,k1_nat_1(C,1)) ) => ( ( J = 1 => k8_nat_1(u1_struct_0(B),H,J) = k3_matrix_0(u1_struct_0(B),F,D,E) ) & ( ~ r1_xxreal_0(J,1) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( K = k1_funct_1(G,k6_xcmplx_0(J,1)) => k8_nat_1(u1_struct_0(B),H,J) = k8_group_1(B,k3_matrix_0(u1_struct_0(B),F,D,E),K) ) ) ) ) ) => ( ( r1_xxreal_0(D,k1_nat_1(J,1)) & r1_xxreal_0(k1_nat_1(J,1),k1_nat_1(C,1)) ) => ( ( k1_nat_1(J,1) = 1 => k8_nat_1(u1_struct_0(B),H,k1_nat_1(J,1)) = k3_matrix_0(u1_struct_0(B),F,D,E) ) & ( ~ r1_xxreal_0(k1_nat_1(J,1),1) => ! [L] : ( m1_subset_1(L,u1_struct_0(B)) => ( L = k1_funct_1(G,k6_xcmplx_0(k1_nat_1(J,1),1)) => k8_nat_1(u1_struct_0(B),H,k1_nat_1(J,1)) = k8_group_1(B,k3_matrix_0(u1_struct_0(B),F,D,E),L) ) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(D,J) & r1_xxreal_0(J,k1_nat_1(C,1)) ) => ( ( J = 1 => k8_nat_1(u1_struct_0(B),H,J) = k3_matrix_0(u1_struct_0(B),F,D,E) ) & ( ~ r1_xxreal_0(J,1) => ! [M] : ( m1_subset_1(M,u1_struct_0(B)) => ( M = k1_funct_1(G,k6_xcmplx_0(J,1)) => k8_nat_1(u1_struct_0(B),H,J) = k8_group_1(B,k3_matrix_0(u1_struct_0(B),F,D,E),M) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e18_35_2__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2)))) & m1_subset_1(D,u1_struct_0(A)) & ~ v1_xboole_0(E) & m2_finseq_1(E,k1_numbers) & ~ v1_xboole_0(F) & v3_pre_topc(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ~ ( r2_tarski(k5_numbers,k4_finseq_1(E)) & ! [G] : ( ( ~ v1_xboole_0(G) & v3_pre_topc(G,A) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,G),k1_pre_topc(k5_topmetr,H))),u1_struct_0(k2_topalg_2)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,G),k1_pre_topc(k5_topmetr,H))),u1_struct_0(k2_topalg_2)))) ) => ~ ( H = k1_rcomp_1(k5_numbers,k1_funct_1(E,k5_numbers)) & r2_tarski(D,G) & r1_tarski(G,F) & v5_pre_topc(I,k2_borsuk_1(k1_pre_topc(A,G),k1_pre_topc(k5_topmetr,H)),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k3_borsuk_1(A,k5_topmetr,G,H)) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,G),k1_pre_topc(k5_topmetr,H))),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),I,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,G),k1_pre_topc(k5_topmetr,H))),u1_struct_0(k2_topalg_2),I,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(G,u1_struct_0(k5_topmetr))) ) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ~ ( r2_tarski(J,k4_finseq_1(E)) & ! [K] : ( ( ~ v1_xboole_0(K) & v3_pre_topc(K,A) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) ) => ! [L] : ( ( ~ v1_xboole_0(L) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,K),k1_pre_topc(k5_topmetr,L))),u1_struct_0(k2_topalg_2)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,K),k1_pre_topc(k5_topmetr,L))),u1_struct_0(k2_topalg_2)))) ) => ~ ( L = k1_rcomp_1(k5_numbers,k1_funct_1(E,J)) & r2_tarski(D,K) & r1_tarski(K,F) & v5_pre_topc(M,k2_borsuk_1(k1_pre_topc(A,K),k1_pre_topc(k5_topmetr,L)),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k3_borsuk_1(A,k5_topmetr,K,L)) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,K),k1_pre_topc(k5_topmetr,L))),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),M,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,K),k1_pre_topc(k5_topmetr,L))),u1_struct_0(k2_topalg_2),M,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(K,u1_struct_0(k5_topmetr))) ) ) ) ) ) => ~ ( r2_tarski(k1_nat_1(J,1),k4_finseq_1(E)) & ! [N] : ( ( ~ v1_xboole_0(N) & v3_pre_topc(N,A) & m1_subset_1(N,k1_zfmisc_1(u1_struct_0(A))) ) => ! [O] : ( ( ~ v1_xboole_0(O) & m1_subset_1(O,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,N),k1_pre_topc(k5_topmetr,O))),u1_struct_0(k2_topalg_2)) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,N),k1_pre_topc(k5_topmetr,O))),u1_struct_0(k2_topalg_2)))) ) => ~ ( O = k1_rcomp_1(k5_numbers,k1_funct_1(E,k1_nat_1(J,1))) & r2_tarski(D,N) & r1_tarski(N,F) & v5_pre_topc(P,k2_borsuk_1(k1_pre_topc(A,N),k1_pre_topc(k5_topmetr,O)),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k3_borsuk_1(A,k5_topmetr,N,O)) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,N),k1_pre_topc(k5_topmetr,O))),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),P,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,N),k1_pre_topc(k5_topmetr,O))),u1_struct_0(k2_topalg_2),P,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(N,u1_struct_0(k5_topmetr))) ) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(E)) & ! [Q] : ( ( ~ v1_xboole_0(Q) & v3_pre_topc(Q,A) & m1_subset_1(Q,k1_zfmisc_1(u1_struct_0(A))) ) => ! [R] : ( ( ~ v1_xboole_0(R) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ! [S] : ( ( v1_funct_1(S) & v1_funct_2(S,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,Q),k1_pre_topc(k5_topmetr,R))),u1_struct_0(k2_topalg_2)) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,Q),k1_pre_topc(k5_topmetr,R))),u1_struct_0(k2_topalg_2)))) ) => ~ ( R = k1_rcomp_1(k5_numbers,k1_funct_1(E,J)) & r2_tarski(D,Q) & r1_tarski(Q,F) & v5_pre_topc(S,k2_borsuk_1(k1_pre_topc(A,Q),k1_pre_topc(k5_topmetr,R)),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k3_borsuk_1(A,k5_topmetr,Q,R)) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,Q),k1_pre_topc(k5_topmetr,R))),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),S,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,Q),k1_pre_topc(k5_topmetr,R))),u1_struct_0(k2_topalg_2),S,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(Q,u1_struct_0(k5_topmetr))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e18_36__topreal1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( ~ ( r1_xxreal_0(1,k1_nat_1(k5_numbers,2)) & r1_xxreal_0(k1_nat_1(k5_numbers,2),k3_finseq_1(A)) & ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( B = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(k5_numbers,2),A)) & ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) & v3_tops_2(C,k5_topmetr,k1_pre_topc(k15_euclid(2),B)) & k1_funct_1(C,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(C,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k5_numbers,2)) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_xxreal_0(1,k1_nat_1(D,2)) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(A)) & ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( E = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,2),A)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),E))))) & v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),E)) & k1_funct_1(F,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(F,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,2)) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(k1_nat_1(D,1),2)) & r1_xxreal_0(k1_nat_1(k1_nat_1(D,1),2),k3_finseq_1(A)) & ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( G = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(k1_nat_1(D,1),2),A)) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),G))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),G))))) & v3_tops_2(H,k5_topmetr,k1_pre_topc(k15_euclid(2),G)) & k1_funct_1(H,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(H,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_nat_1(D,1),2)) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,k1_nat_1(D,2)) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(A)) & ! [I] : ( ( ~ v1_xboole_0(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( I = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,2),A)) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),I))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),I))))) & v3_tops_2(J,k5_topmetr,k1_pre_topc(k15_euclid(2),I)) & k1_funct_1(J,k5_numbers) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k1_funct_1(J,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,2)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e18_46__scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k5_numbers))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) ) ) ) ) ) )).
fof(s2_nat_1__e18_5_1_1_2__heine,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(A,k6_xcmplx_0(k8_nat_1(k1_numbers,C,k5_numbers),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(k5_numbers,1))))) & r1_xxreal_0(k2_xcmplx_0(k8_nat_1(k1_numbers,C,k5_numbers),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(k5_numbers,1)))),B) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(A,k6_xcmplx_0(k8_nat_1(k1_numbers,C,D),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(D,1))))) & r1_xxreal_0(k2_xcmplx_0(k8_nat_1(k1_numbers,C,D),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(D,1)))),B) ) => ( r1_xxreal_0(A,k6_xcmplx_0(k8_nat_1(k1_numbers,C,k1_nat_1(D,1)),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(k1_nat_1(D,1),1))))) & r1_xxreal_0(k2_xcmplx_0(k8_nat_1(k1_numbers,C,k1_nat_1(D,1)),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(k1_nat_1(D,1),1)))),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(A,k6_xcmplx_0(k8_nat_1(k1_numbers,C,D),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(D,1))))) & r1_xxreal_0(k2_xcmplx_0(k8_nat_1(k1_numbers,C,D),k7_xcmplx_0(k6_xcmplx_0(B,A),k11_newton(2,k1_nat_1(D,1)))),B) ) ) ) ) )).
fof(s2_nat_1__e18_61__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) & v1_relat_1(D) & v5_relat_1(D,k1_numbers) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) & v1_relat_1(E) & v5_relat_1(E,k1_numbers) & v1_funct_1(E) & v5_ordinal1(E) & v1_finset_1(E) ) => ( ( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),k1_nat_1(C,1)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(E,k1_nat_1(k5_numbers,1))),k7_afinsq_2(k5_relat_1(D,k1_nat_1(k5_numbers,1)))) = k3_xcmplx_0(k4_series_1(B),k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k1_nat_1(F,1),k1_nat_1(C,1)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(E,k1_nat_1(F,1))),k7_afinsq_2(k5_relat_1(D,k1_nat_1(F,1)))) = k3_xcmplx_0(k4_series_1(B),k8_nat_1(k1_numbers,k3_series_1(A),F)) ) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(F,1),1),k1_nat_1(C,1)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(E,k1_nat_1(k1_nat_1(F,1),1))),k7_afinsq_2(k5_relat_1(D,k1_nat_1(k1_nat_1(F,1),1)))) = k3_xcmplx_0(k4_series_1(B),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k1_nat_1(F,1),k1_nat_1(C,1)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(E,k1_nat_1(F,1))),k7_afinsq_2(k5_relat_1(D,k1_nat_1(F,1)))) = k3_xcmplx_0(k4_series_1(B),k8_nat_1(k1_numbers,k3_series_1(A),F)) ) ) ) ) )).
fof(s2_nat_1__e18_62__ltlaxio3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) & ~ v2_ltlaxio3(B) & m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( r1_tarski(k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),k5_numbers)))),k2_relset_1(k1_hilbert1,k8_ltlaxio3(B))) & r1_tarski(k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),k5_numbers)))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(B))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),C) => ( r1_tarski(k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),C)))),k2_relset_1(k1_hilbert1,k8_ltlaxio3(B))) & r1_tarski(k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),C)))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(B))) ) ) => ( ~ r1_xxreal_0(k3_finseq_1(A),k1_nat_1(C,1)) => ( r1_tarski(k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),k1_nat_1(C,1))))),k2_relset_1(k1_hilbert1,k8_ltlaxio3(B))) & r1_tarski(k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),k1_nat_1(C,1))))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(B))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(A),C) => ( r1_tarski(k2_relset_1(k1_hilbert1,k8_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),C)))),k2_relset_1(k1_hilbert1,k8_ltlaxio3(B))) & r1_tarski(k2_relset_1(k1_hilbert1,k9_ltlaxio3(k7_partfun1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,k7_nat_d(k3_finseq_1(A),C)))),k2_relset_1(k1_hilbert1,k9_ltlaxio3(B))) ) ) ) ) ) )).
fof(s2_nat_1__e18_62__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) & v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,k9_matrix_1(k1_nat_1(A,2)),k9_matrix_1(k1_nat_1(A,2))) & v3_funct_2(E,k9_matrix_1(k1_nat_1(A,2)),k9_matrix_1(k1_nat_1(A,2))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_matrix_1(k1_nat_1(A,2)),k9_matrix_1(k1_nat_1(A,2))))) & v1_funct_1(F) & v1_funct_2(F,k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B)))) ) => ( ( ( k5_numbers != k5_numbers => ! [G] : ( m1_subset_1(G,k5_finsub_1(k9_matrix_1(k1_nat_1(A,2)))) => ( k4_card_1(G) = k5_numbers => k8_group_1(B,k2_matrix11(A,B,C),k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),F,G)) = k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),D,k8_setwiseo(k9_matrix_1(k1_nat_1(A,2)),k9_matrix_1(k1_nat_1(A,2)),E,G)) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( H != k5_numbers => ! [I] : ( m1_subset_1(I,k5_finsub_1(k9_matrix_1(k1_nat_1(A,2)))) => ( k4_card_1(I) = H => k8_group_1(B,k2_matrix11(A,B,C),k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),F,I)) = k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),D,k8_setwiseo(k9_matrix_1(k1_nat_1(A,2)),k9_matrix_1(k1_nat_1(A,2)),E,I)) ) ) ) => ( k1_nat_1(H,1) != k5_numbers => ! [J] : ( m1_subset_1(J,k5_finsub_1(k9_matrix_1(k1_nat_1(A,2)))) => ( k4_card_1(J) = k1_nat_1(H,1) => k8_group_1(B,k2_matrix11(A,B,C),k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),F,J)) = k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),D,k8_setwiseo(k9_matrix_1(k1_nat_1(A,2)),k9_matrix_1(k1_nat_1(A,2)),E,J)) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( H != k5_numbers => ! [K] : ( m1_subset_1(K,k5_finsub_1(k9_matrix_1(k1_nat_1(A,2)))) => ( k4_card_1(K) = H => k8_group_1(B,k2_matrix11(A,B,C),k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),F,K)) = k3_funct_2(k5_finsub_1(k9_matrix_1(k1_nat_1(A,2))),u1_struct_0(B),D,k8_setwiseo(k9_matrix_1(k1_nat_1(A,2)),k9_matrix_1(k1_nat_1(A,2)),E,K)) ) ) ) ) ) ) )).
fof(s2_nat_1__e18_65__prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & m1_prob_3(D,A,B) & v5_relat_1(E,B) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k1_funct_1(k3_series_1(k8_prob_1(A,B,E,C)),k2_xcmplx_0(k1_nat_1(k3_finseq_1(D),1),k5_numbers)) = k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k8_prob_1(A,B,E,C)),k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( k1_funct_1(k3_series_1(k8_prob_1(A,B,E,C)),k2_xcmplx_0(k1_nat_1(k3_finseq_1(D),1),F)) = k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k8_prob_1(A,B,E,C)),k3_finseq_1(D)) => k1_funct_1(k3_series_1(k8_prob_1(A,B,E,C)),k2_xcmplx_0(k1_nat_1(k3_finseq_1(D),1),k1_nat_1(F,1))) = k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k8_prob_1(A,B,E,C)),k3_finseq_1(D)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k1_funct_1(k3_series_1(k8_prob_1(A,B,E,C)),k2_xcmplx_0(k1_nat_1(k3_finseq_1(D),1),F)) = k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k8_prob_1(A,B,E,C)),k3_finseq_1(D)) ) ) ) )).
fof(s2_nat_1__e18_8__scmfsa8b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(E) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(F,1))),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(F,1))) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(F,1))),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) ) ) ) ) )).
fof(s2_nat_1__e19_11__scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v7_ordinal1(E) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k5_numbers)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k5_numbers)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k5_numbers)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k5_numbers)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,F)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k1_nat_1(F,1))),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k1_nat_1(F,1))) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k1_nat_1(F,1))),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,F)) ) ) ) ) )).
fof(s2_nat_1__e19_12__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v7_ordinal1(E) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,k5_numbers)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,k5_numbers)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,k5_numbers)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,k5_numbers)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,F)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,k1_nat_1(F,1))),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,k1_nat_1(F,1))) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,k1_nat_1(F,1))),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,D,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,B,F)) ) ) ) ) )).
fof(s2_nat_1__e19_136__simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v1_funct_1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => ( k1_funct_1(D,k5_numbers) = k1_funct_1(C,k5_numbers) & ? [E] : ( m1_simplex0(E,A) & k1_funct_1(D,k5_numbers) = E ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,B) => ( k1_funct_1(D,F) = k1_funct_1(C,F) & ? [G] : ( m1_simplex0(G,A) & k1_funct_1(D,F) = G ) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),B) => ( k1_funct_1(D,k1_nat_1(F,1)) = k1_funct_1(C,k1_nat_1(F,1)) & ? [H] : ( m1_simplex0(H,A) & k1_funct_1(D,k1_nat_1(F,1)) = H ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,B) => ( k1_funct_1(D,F) = k1_funct_1(C,F) & ? [I] : ( m1_simplex0(I,A) & k1_funct_1(D,F) = I ) ) ) ) ) ) )).
fof(s2_nat_1__e19_13__matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(k5_numbers,A),B) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),k2_xcmplx_0(k5_numbers,A),k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k2_xcmplx_0(D,A),B) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),k2_xcmplx_0(D,A),k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) ) => ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(D,1),A),B) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),k2_xcmplx_0(k1_nat_1(D,1),A),k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_xcmplx_0(D,A),B) => k1_finsop_1(u1_struct_0(k2_vectsp_1),k17_finseq_1(u1_struct_0(k2_vectsp_1),k2_xcmplx_0(D,A),k13_matrix_3(B,k2_vectsp_1,C)),u2_algstr_0(k2_vectsp_1)) = k4_algstr_0(k2_vectsp_1,k5_struct_0(k2_vectsp_1)) ) ) ) ) )).
fof(s2_nat_1__e19_39__frechet2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( r2_tarski(k1_funct_1(A,k5_numbers),k4_ordinal1) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k1_funct_1(A,B),k4_ordinal1) => r2_tarski(k1_funct_1(A,k1_nat_1(B,1)),k4_ordinal1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k1_funct_1(A,B),k4_ordinal1) ) ) ) )).
fof(s2_nat_1__e19_60_3__simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v6_ordinal1(B) & v1_finset_1(B) & v5_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( ~ ( ~ r1_xxreal_0(k4_card_1(B),k5_numbers) & ! [C] : ( v1_finset_1(C) => ~ ( r2_tarski(C,B) & k4_card_1(C) = k6_xcmplx_0(k4_card_1(B),k5_numbers) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( ~ r1_xxreal_0(k4_card_1(B),D) & ! [E] : ( v1_finset_1(E) => ~ ( r2_tarski(E,B) & k4_card_1(E) = k6_xcmplx_0(k4_card_1(B),D) ) ) ) => ~ ( ~ r1_xxreal_0(k4_card_1(B),k1_nat_1(D,1)) & ! [F] : ( v1_finset_1(F) => ~ ( r2_tarski(F,B) & k4_card_1(F) = k6_xcmplx_0(k4_card_1(B),k1_nat_1(D,1)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(k4_card_1(B),D) & ! [G] : ( v1_finset_1(G) => ~ ( r2_tarski(G,B) & k4_card_1(G) = k6_xcmplx_0(k4_card_1(B),D) ) ) ) ) ) ) )).
fof(s2_nat_1__e19_6__urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A)))))) ) => ( ( m1_urysohn3(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k5_numbers),A,B,C,k5_numbers) & ! [E] : ( m1_subset_1(E,k9_xtuple_0(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k5_numbers))) => k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k5_numbers),E) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(k5_numbers,1)),E) ) & ! [F] : ( v7_ordinal1(F) => ( ( m1_urysohn3(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,F),A,B,C,F) & ! [G] : ( m1_subset_1(G,k9_xtuple_0(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,F))) => k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,F),G) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(F,1)),G) ) ) => ( m1_urysohn3(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(F,1)),A,B,C,k1_nat_1(F,1)) & ! [H] : ( m1_subset_1(H,k9_xtuple_0(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(F,1)))) => k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(F,1)),H) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(k1_nat_1(F,1),1)),H) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( m1_urysohn3(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,F),A,B,C,F) & ! [I] : ( m1_subset_1(I,k9_xtuple_0(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,F))) => k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,F),I) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_nat_1(F,1)),I) ) ) ) ) ) )).
fof(s2_nat_1__e19_8__uniroots,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k1_numbers) ) => ( ( ! [C] : ( m2_finseq_1(C,k1_numbers) => ~ ( k3_finseq_1(C) = k5_numbers & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k4_finseq_1(C)) & r1_xxreal_0(k1_funct_1(C,D),A) ) ) & r1_xxreal_0(k3_xcmplx_0(k21_rvsum_1(C),B),A) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( k3_finseq_1(F) = E & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( r2_tarski(G,k4_finseq_1(F)) & r1_xxreal_0(k1_funct_1(F,G),A) ) ) & r1_xxreal_0(k3_xcmplx_0(k21_rvsum_1(F),B),A) ) ) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ~ ( k3_finseq_1(H) = k1_nat_1(E,1) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(H)) & r1_xxreal_0(k1_funct_1(H,I),A) ) ) & r1_xxreal_0(k3_xcmplx_0(k21_rvsum_1(H),B),A) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,k1_numbers) => ~ ( k3_finseq_1(J) = E & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ~ ( r2_tarski(K,k4_finseq_1(J)) & r1_xxreal_0(k1_funct_1(J,K),A) ) ) & r1_xxreal_0(k3_xcmplx_0(k21_rvsum_1(J),B),A) ) ) ) ) ) )).
fof(s2_nat_1__e1_102__newton,axiom,( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),k1_newton(2,k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(k1_nat_1(A,1),k1_newton(2,A)) => r1_xxreal_0(k1_nat_1(k1_nat_1(A,1),1),k1_newton(2,k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k1_nat_1(A,1),k1_newton(2,A)) ) )).
fof(s2_nat_1__e1_11_3__finance2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k4_ordinal1)))) ) => ( ( r2_tarski(k8_nat_1(k9_setfam_1(k4_ordinal1),k2_prob_3(k4_ordinal1,A),k5_numbers),k12_prob_1) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k8_nat_1(k9_setfam_1(k4_ordinal1),k2_prob_3(k4_ordinal1,A),B),k12_prob_1) => r2_tarski(k8_nat_1(k9_setfam_1(k4_ordinal1),k2_prob_3(k4_ordinal1,A),k1_nat_1(B,1)),k12_prob_1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k8_nat_1(k9_setfam_1(k4_ordinal1),k2_prob_3(k4_ordinal1,A),B),k12_prob_1) ) ) ) )).
fof(s2_nat_1__e1_25_6__scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) ) ) ) ) )).
fof(s2_nat_1__e1_26_5__scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) ) ) ) ) )).
fof(s2_nat_1__e1_92__rfunct_3,axiom,( ( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ! [D] : ! [E] : ( v1_finset_1(E) => ( ( E = k1_relset_1(A,k2_partfun1(A,k1_numbers,B,D)) & v1_finset_1(k1_relset_1(A,k2_partfun1(A,k1_numbers,B,C))) & r1_tarski(D,C) & k5_numbers = k4_card_1(E) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(F,k1_relset_1(A,k2_partfun1(A,k1_numbers,B,D))) & r2_tarski(G,k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k6_subset_1(C,D)))) ) => r1_xxreal_0(k1_funct_1(B,G),k1_funct_1(B,F)) ) ) ) ) => k20_rfunct_3(A,B,C) = k8_finseq_1(k1_numbers,k20_rfunct_3(A,B,D),k20_rfunct_3(A,B,k6_subset_1(C,D))) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ~ v1_xboole_0(I) => ! [J] : ( ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(I,k1_numbers))) ) => ! [K] : ! [L] : ! [M] : ( v1_finset_1(M) => ( ( M = k1_relset_1(I,k2_partfun1(I,k1_numbers,J,L)) & v1_finset_1(k1_relset_1(I,k2_partfun1(I,k1_numbers,J,K))) & r1_tarski(L,K) & H = k4_card_1(M) & ! [N] : ( m1_subset_1(N,I) => ! [O] : ( m1_subset_1(O,I) => ( ( r2_tarski(N,k1_relset_1(I,k2_partfun1(I,k1_numbers,J,L))) & r2_tarski(O,k1_relset_1(I,k2_partfun1(I,k1_numbers,J,k6_subset_1(K,L)))) ) => r1_xxreal_0(k1_funct_1(J,O),k1_funct_1(J,N)) ) ) ) ) => k20_rfunct_3(I,J,K) = k8_finseq_1(k1_numbers,k20_rfunct_3(I,J,L),k20_rfunct_3(I,J,k6_subset_1(K,L))) ) ) ) ) => ! [P] : ( ~ v1_xboole_0(P) => ! [Q] : ( ( v1_funct_1(Q) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(P,k1_numbers))) ) => ! [R] : ! [S] : ! [T] : ( v1_finset_1(T) => ( ( T = k1_relset_1(P,k2_partfun1(P,k1_numbers,Q,S)) & v1_finset_1(k1_relset_1(P,k2_partfun1(P,k1_numbers,Q,R))) & r1_tarski(S,R) & k1_nat_1(H,1) = k4_card_1(T) & ! [U] : ( m1_subset_1(U,P) => ! [V] : ( m1_subset_1(V,P) => ( ( r2_tarski(U,k1_relset_1(P,k2_partfun1(P,k1_numbers,Q,S))) & r2_tarski(V,k1_relset_1(P,k2_partfun1(P,k1_numbers,Q,k6_subset_1(R,S)))) ) => r1_xxreal_0(k1_funct_1(Q,V),k1_funct_1(Q,U)) ) ) ) ) => k20_rfunct_3(P,Q,R) = k8_finseq_1(k1_numbers,k20_rfunct_3(P,Q,S),k20_rfunct_3(P,Q,k6_subset_1(R,S))) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [W] : ( ~ v1_xboole_0(W) => ! [X] : ( ( v1_funct_1(X) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(W,k1_numbers))) ) => ! [Y] : ! [Z] : ! [A1] : ( v1_finset_1(A1) => ( ( A1 = k1_relset_1(W,k2_partfun1(W,k1_numbers,X,Z)) & v1_finset_1(k1_relset_1(W,k2_partfun1(W,k1_numbers,X,Y))) & r1_tarski(Z,Y) & H = k4_card_1(A1) & ! [B1] : ( m1_subset_1(B1,W) => ! [C1] : ( m1_subset_1(C1,W) => ( ( r2_tarski(B1,k1_relset_1(W,k2_partfun1(W,k1_numbers,X,Z))) & r2_tarski(C1,k1_relset_1(W,k2_partfun1(W,k1_numbers,X,k6_subset_1(Y,Z)))) ) => r1_xxreal_0(k1_funct_1(X,C1),k1_funct_1(X,B1)) ) ) ) ) => k20_rfunct_3(W,X,Y) = k8_finseq_1(k1_numbers,k20_rfunct_3(W,X,Z),k20_rfunct_3(W,X,k6_subset_1(Y,Z))) ) ) ) ) ) )).
fof(s2_nat_1__e20_15__measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & v1_prob_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k5_numbers) = k12_supinf_2(C,k2_measure2(A,B,k1_measure3(A,B,D))) & ! [F] : ( v7_ordinal1(F) => ( k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k12_supinf_2(C,k2_measure2(A,B,k1_measure3(A,B,D))) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k1_nat_1(F,1)) = k12_supinf_2(C,k2_measure2(A,B,k1_measure3(A,B,D))) ) ) ) => ! [F] : ( v7_ordinal1(F) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k12_supinf_2(C,k2_measure2(A,B,k1_measure3(A,B,D))) ) ) ) )).
fof(s2_nat_1__e20_26__scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C),F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D),F)) ) ) ) ) )).
fof(s2_nat_1__e20_35__scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) & v7_ordinal1(E) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)),E) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,F)) ) ) ) ) )).
fof(s2_nat_1__e20_39__topgen_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) & ~ v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(B,k7_xcmplx_0(1,2))),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(C,k7_xcmplx_0(1,2))),k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(A,D) => k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(B,k7_xcmplx_0(1,2))),D) = k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(C,k7_xcmplx_0(1,2))),D) ) => ( ~ r1_xxreal_0(A,k1_nat_1(D,1)) => k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(B,k7_xcmplx_0(1,2))),k1_nat_1(D,1)) = k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(C,k7_xcmplx_0(1,2))),k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(A,D) => k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(B,k7_xcmplx_0(1,2))),D) = k8_nat_1(k1_numbers,k3_series_1(k4_topgen_3(C,k7_xcmplx_0(1,2))),D) ) ) ) ) )).
fof(s2_nat_1__e20_40_1_1__bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A)))))) & v3_ordinal1(C) ) => ( ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( ( r2_tarski(C,D) & r2_tarski(D,A) & k8_nat_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A))),B,k5_numbers) = E ) => k1_recdef_1(E,D) = k5_numbers ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v3_ordinal1(G) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & v4_valued_0(H) & v2_pre_poly(H) ) => ( ( r2_tarski(C,G) & r2_tarski(G,A) & k8_nat_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A))),B,F) = H ) => k1_recdef_1(H,G) = k5_numbers ) ) ) => ! [I] : ( v3_ordinal1(I) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,A) & v1_funct_1(J) & v1_partfun1(J,A) & v4_valued_0(J) & v2_pre_poly(J) ) => ( ( r2_tarski(C,I) & r2_tarski(I,A) & k8_nat_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A))),B,k1_nat_1(F,1)) = J ) => k1_recdef_1(J,I) = k5_numbers ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( v3_ordinal1(K) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,A) & v1_funct_1(L) & v1_partfun1(L,A) & v4_valued_0(L) & v2_pre_poly(L) ) => ( ( r2_tarski(C,K) & r2_tarski(K,A) & k8_nat_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A))),B,F) = L ) => k1_recdef_1(L,K) = k5_numbers ) ) ) ) ) ) )).
fof(s2_nat_1__e20_45_1_1__euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) ) => ( ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(B)) => ( r1_xxreal_0(D,k1_nat_1(k5_numbers,1)) | k1_funct_1(C,D) = D ) ) ) => ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k5_numbers,1)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,C)),k1_nat_1(k5_numbers,1)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(F,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k3_finseq_1(B)) => ( r1_xxreal_0(G,k1_nat_1(E,1)) | k1_funct_1(F,G) = G ) ) ) => ( r1_xxreal_0(k3_finseq_1(B),E) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(E,1)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,F)),k1_nat_1(E,1)) ) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(H,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k3_finseq_1(B)) => ( r1_xxreal_0(I,k1_nat_1(k1_nat_1(E,1),1)) | k1_funct_1(H,I) = I ) ) ) => ( r1_xxreal_0(k3_finseq_1(B),k1_nat_1(E,1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k1_nat_1(E,1),1)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,H)),k1_nat_1(k1_nat_1(E,1),1)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(J,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(K,k3_finseq_1(B)) => ( r1_xxreal_0(K,k1_nat_1(E,1)) | k1_funct_1(J,K) = K ) ) ) => ( r1_xxreal_0(k3_finseq_1(B),E) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(E,1)) = k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,J)),k1_nat_1(E,1)) ) ) ) ) ) ) )).
fof(s2_nat_1__e20_64__scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(A,k5_card_1(2),k1_scmpds_2,k5_numbers) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmpds_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [I] : ( m2_finseq_1(I,k4_ordinal1) => ( ( k1_funct_1(H,k1_scmp_gcd(B)) = k1_funct_1(A,k1_scmp_gcd(B)) & k1_funct_1(H,k1_scmp_gcd(E)) = F & k3_finseq_1(I) = k1_funct_1(H,k2_scmpds_2(k1_funct_1(H,k1_scmp_gcd(B)),C)) & k3_finseq_1(I) = k5_numbers & ! [J] : ( v7_ordinal1(J) => ( ~ r1_xxreal_0(k3_finseq_1(I),J) => k1_funct_1(I,k1_nat_1(J,1)) = k1_funct_1(H,k2_scmpds_2(k1_funct_1(H,k1_scmp_gcd(F)),J)) ) ) ) => ( r1_xxreal_0(k1_funct_1(H,k1_scmp_gcd(F)),F) | k1_funct_1(k6_scmpds_4(k2_scmpds_7(k1_scmp_gcd(B),C,1,k4_scmpds_4(k12_scmpds_2(k1_scmp_gcd(B),k1_scmp_gcd(F),D,k5_numbers),k11_scmpds_2(k1_scmp_gcd(E),k5_numbers,1))),H,G),k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D)) = k2_xcmplx_0(k1_wsierp_1(I),k1_funct_1(H,k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D))) ) ) ) ) ) & ! [K] : ( v7_ordinal1(K) => ( ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmpds_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(M,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [N] : ( m2_finseq_1(N,k4_ordinal1) => ( ( k1_funct_1(M,k1_scmp_gcd(B)) = k1_funct_1(A,k1_scmp_gcd(B)) & k1_funct_1(M,k1_scmp_gcd(E)) = F & k3_finseq_1(N) = k1_funct_1(M,k2_scmpds_2(k1_funct_1(M,k1_scmp_gcd(B)),C)) & k3_finseq_1(N) = K & ! [O] : ( v7_ordinal1(O) => ( ~ r1_xxreal_0(k3_finseq_1(N),O) => k1_funct_1(N,k1_nat_1(O,1)) = k1_funct_1(M,k2_scmpds_2(k1_funct_1(M,k1_scmp_gcd(F)),O)) ) ) ) => ( r1_xxreal_0(k1_funct_1(M,k1_scmp_gcd(F)),F) | k1_funct_1(k6_scmpds_4(k2_scmpds_7(k1_scmp_gcd(B),C,1,k4_scmpds_4(k12_scmpds_2(k1_scmp_gcd(B),k1_scmp_gcd(F),D,k5_numbers),k11_scmpds_2(k1_scmp_gcd(E),k5_numbers,1))),M,L),k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D)) = k2_xcmplx_0(k1_wsierp_1(N),k1_funct_1(M,k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D))) ) ) ) ) ) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,k4_ordinal1) & v5_relat_1(P,u1_compos_1(k1_scmpds_2)) & v1_funct_1(P) & v1_partfun1(P,k4_ordinal1) ) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_scmpds_2)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(Q,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(Q,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [R] : ( m2_finseq_1(R,k4_ordinal1) => ( ( k1_funct_1(Q,k1_scmp_gcd(B)) = k1_funct_1(A,k1_scmp_gcd(B)) & k1_funct_1(Q,k1_scmp_gcd(E)) = F & k3_finseq_1(R) = k1_funct_1(Q,k2_scmpds_2(k1_funct_1(Q,k1_scmp_gcd(B)),C)) & k3_finseq_1(R) = k1_nat_1(K,1) & ! [S] : ( v7_ordinal1(S) => ( ~ r1_xxreal_0(k3_finseq_1(R),S) => k1_funct_1(R,k1_nat_1(S,1)) = k1_funct_1(Q,k2_scmpds_2(k1_funct_1(Q,k1_scmp_gcd(F)),S)) ) ) ) => ( r1_xxreal_0(k1_funct_1(Q,k1_scmp_gcd(F)),F) | k1_funct_1(k6_scmpds_4(k2_scmpds_7(k1_scmp_gcd(B),C,1,k4_scmpds_4(k12_scmpds_2(k1_scmp_gcd(B),k1_scmp_gcd(F),D,k5_numbers),k11_scmpds_2(k1_scmp_gcd(E),k5_numbers,1))),Q,P),k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D)) = k2_xcmplx_0(k1_wsierp_1(R),k1_funct_1(Q,k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D))) ) ) ) ) ) ) ) ) => ! [K] : ( v7_ordinal1(K) => ! [T] : ( ( v1_relat_1(T) & v4_relat_1(T,k4_ordinal1) & v5_relat_1(T,u1_compos_1(k1_scmpds_2)) & v1_funct_1(T) & v1_partfun1(T,k4_ordinal1) ) => ! [U] : ( ( v1_relat_1(U) & v4_relat_1(U,u1_struct_0(k1_scmpds_2)) & v1_funct_1(U) & v5_funct_1(U,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(U,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(U,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [V] : ( m2_finseq_1(V,k4_ordinal1) => ( ( k1_funct_1(U,k1_scmp_gcd(B)) = k1_funct_1(A,k1_scmp_gcd(B)) & k1_funct_1(U,k1_scmp_gcd(E)) = F & k3_finseq_1(V) = k1_funct_1(U,k2_scmpds_2(k1_funct_1(U,k1_scmp_gcd(B)),C)) & k3_finseq_1(V) = K & ! [W] : ( v7_ordinal1(W) => ( ~ r1_xxreal_0(k3_finseq_1(V),W) => k1_funct_1(V,k1_nat_1(W,1)) = k1_funct_1(U,k2_scmpds_2(k1_funct_1(U,k1_scmp_gcd(F)),W)) ) ) ) => ( r1_xxreal_0(k1_funct_1(U,k1_scmp_gcd(F)),F) | k1_funct_1(k6_scmpds_4(k2_scmpds_7(k1_scmp_gcd(B),C,1,k4_scmpds_4(k12_scmpds_2(k1_scmp_gcd(B),k1_scmp_gcd(F),D,k5_numbers),k11_scmpds_2(k1_scmp_gcd(E),k5_numbers,1))),U,T),k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D)) = k2_xcmplx_0(k1_wsierp_1(V),k1_funct_1(U,k2_scmpds_2(k1_funct_1(A,k1_scmp_gcd(B)),D))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e20_90_1_2__comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( ! [D] : ~ ( r2_tarski(D,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,k5_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( D = k2_funct_7(k4_ordinal1,B,A,E) & r1_xxreal_0(E,k5_numbers) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ~ ( r2_tarski(G,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,F))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( G = k2_funct_7(k4_ordinal1,B,A,H) & r1_xxreal_0(H,F) ) ) ) => ! [I] : ~ ( r2_tarski(I,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,k1_nat_1(F,1)))) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( I = k2_funct_7(k4_ordinal1,B,A,J) & r1_xxreal_0(J,k1_nat_1(F,1)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ~ ( r2_tarski(K,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),C,F))) & ! [L] : ( m1_subset_1(L,k4_ordinal1) => ~ ( K = k2_funct_7(k4_ordinal1,B,A,L) & r1_xxreal_0(L,F) ) ) ) ) ) ) )).
fof(s2_nat_1__e20_91__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,k5_numbers))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k5_numbers)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,k5_numbers))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),E)) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k1_nat_1(E,1))),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,k1_nat_1(E,1)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)))) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),E)) ) ) ) ) ) )).
fof(s2_nat_1__e21_136__simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & v1_relat_1(D) & v1_funct_1(D) & v1_relat_1(E) & v1_funct_1(E) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => ( k1_funct_1(D,k5_numbers) = k1_funct_1(E,k1_nat_1(k5_numbers,C)) & ? [F] : ( m1_simplex0(F,A) & k1_funct_1(D,k5_numbers) = F ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,B) => ( k1_funct_1(D,G) = k1_funct_1(E,k1_nat_1(G,C)) & ? [H] : ( m1_simplex0(H,A) & k1_funct_1(D,G) = H ) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),B) => ( k1_funct_1(D,k1_nat_1(G,1)) = k1_funct_1(E,k1_nat_1(k1_nat_1(G,1),C)) & ? [I] : ( m1_simplex0(I,A) & k1_funct_1(D,k1_nat_1(G,1)) = I ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,B) => ( k1_funct_1(D,G) = k1_funct_1(E,k1_nat_1(G,C)) & ? [J] : ( m1_simplex0(J,A) & k1_funct_1(D,G) = J ) ) ) ) ) ) )).
fof(s2_nat_1__e21_14__scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(E) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(F,1))),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(F,1))) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(F,1))),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(F,1))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)),E) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) ) ) ) ) )).
fof(s2_nat_1__e21_18__bhsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m2_finseq_1(B,k1_numbers) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) ) => k1_funct_1(D,k5_numbers) = k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(C,k5_numbers),k1_funct_1(C,k5_numbers))) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_funct_1(D,E) = k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(C,E),k1_funct_1(C,E))) ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) ) => k1_funct_1(D,k1_nat_1(E,1)) = k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(C,k1_nat_1(E,1)),k1_funct_1(C,k1_nat_1(E,1)))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_funct_1(D,E) = k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(C,E),k1_funct_1(C,E))) ) ) ) ) )).
fof(s2_nat_1__e21_29__lang1,axiom,( ! [A] : ! [B] : ( ( ! [C] : ( m2_finseq_2(C,u1_struct_0(k8_lang1(A,B)),k3_finseq_2(u1_struct_0(k8_lang1(A,B)))) => ( ( k3_finseq_1(C) = k5_numbers & r2_tarski(C,k3_finseq_2(k1_tarski(B))) ) => r3_lang1(k8_lang1(A,B),k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))),k1_pre_poly(u1_struct_0(k8_lang1(A,B)),C,k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))))) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_2(E,u1_struct_0(k8_lang1(A,B)),k3_finseq_2(u1_struct_0(k8_lang1(A,B)))) => ( ( k3_finseq_1(E) = D & r2_tarski(E,k3_finseq_2(k1_tarski(B))) ) => r3_lang1(k8_lang1(A,B),k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))),k1_pre_poly(u1_struct_0(k8_lang1(A,B)),E,k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))))) ) ) => ! [F] : ( m2_finseq_2(F,u1_struct_0(k8_lang1(A,B)),k3_finseq_2(u1_struct_0(k8_lang1(A,B)))) => ( ( k3_finseq_1(F) = k1_nat_1(D,1) & r2_tarski(F,k3_finseq_2(k1_tarski(B))) ) => r3_lang1(k8_lang1(A,B),k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))),k1_pre_poly(u1_struct_0(k8_lang1(A,B)),F,k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_finseq_2(G,u1_struct_0(k8_lang1(A,B)),k3_finseq_2(u1_struct_0(k8_lang1(A,B)))) => ( ( k3_finseq_1(G) = D & r2_tarski(G,k3_finseq_2(k1_tarski(B))) ) => r3_lang1(k8_lang1(A,B),k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))),k1_pre_poly(u1_struct_0(k8_lang1(A,B)),G,k3_pre_poly(u1_struct_0(k8_lang1(A,B)),u2_lang1(k8_lang1(A,B))))) ) ) ) ) )).
fof(s2_nat_1__e21_31__lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( m2_finseq_2(B,u1_struct_0(k9_lang1(A)),k3_finseq_2(u1_struct_0(k9_lang1(A)))) => ( ( k3_finseq_1(B) = k5_numbers & r2_tarski(B,k3_finseq_2(A)) ) => r3_lang1(k9_lang1(A),k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))),k1_pre_poly(u1_struct_0(k9_lang1(A)),B,k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_2(D,u1_struct_0(k9_lang1(A)),k3_finseq_2(u1_struct_0(k9_lang1(A)))) => ( ( k3_finseq_1(D) = C & r2_tarski(D,k3_finseq_2(A)) ) => r3_lang1(k9_lang1(A),k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))),k1_pre_poly(u1_struct_0(k9_lang1(A)),D,k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))))) ) ) => ! [E] : ( m2_finseq_2(E,u1_struct_0(k9_lang1(A)),k3_finseq_2(u1_struct_0(k9_lang1(A)))) => ( ( k3_finseq_1(E) = k1_nat_1(C,1) & r2_tarski(E,k3_finseq_2(A)) ) => r3_lang1(k9_lang1(A),k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))),k1_pre_poly(u1_struct_0(k9_lang1(A)),E,k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_finseq_2(F,u1_struct_0(k9_lang1(A)),k3_finseq_2(u1_struct_0(k9_lang1(A)))) => ( ( k3_finseq_1(F) = C & r2_tarski(F,k3_finseq_2(A)) ) => r3_lang1(k9_lang1(A),k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))),k1_pre_poly(u1_struct_0(k9_lang1(A)),F,k3_pre_poly(u1_struct_0(k9_lang1(A)),u2_lang1(k9_lang1(A))))) ) ) ) ) ) )).
fof(s2_nat_1__e21_33__fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(C,k9_setfam_1(u1_struct_0(A))) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) => r1_tarski(k7_partfun1(k9_setfam_1(u1_struct_0(A)),C,k1_nat_1(k5_numbers,1)),B) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k3_finseq_1(C),D) => r1_tarski(k7_partfun1(k9_setfam_1(u1_struct_0(A)),C,k1_nat_1(D,1)),B) ) => ( ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(D,1)) => r1_tarski(k7_partfun1(k9_setfam_1(u1_struct_0(A)),C,k1_nat_1(k1_nat_1(D,1),1)),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(C),D) => r1_tarski(k7_partfun1(k9_setfam_1(u1_struct_0(A)),C,k1_nat_1(D,1)),B) ) ) ) ) )).
fof(s2_nat_1__e21_45_1_2_1__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_matrlin(C,A,B) & m1_matrixj2(D,A,k4_struct_0(A)) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),k3_finseq_1(C),k3_finseq_1(C)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(F,k4_ordinal1) ) => ( ( ( ~ r1_xxreal_0(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,k4_struct_0(A),k1_matrixj1(k10_matrixj1(u1_struct_0(A),D),F),D))),k2_xcmplx_0(F,k5_numbers)) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(k5_numbers,1)),k7_partfun1(u1_struct_0(B),C,F)) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(F,k5_numbers),1)) ) & ! [G] : ( v7_ordinal1(G) => ( ( ~ r1_xxreal_0(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,k4_struct_0(A),k1_matrixj1(k10_matrixj1(u1_struct_0(A),D),F),D))),k2_xcmplx_0(F,G)) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(G,1)),k7_partfun1(u1_struct_0(B),C,F)) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(F,G),1)) ) => ( ~ r1_xxreal_0(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,k4_struct_0(A),k1_matrixj1(k10_matrixj1(u1_struct_0(A),D),F),D))),k2_xcmplx_0(F,k1_nat_1(G,1))) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(k1_nat_1(G,1),1)),k7_partfun1(u1_struct_0(B),C,F)) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(F,k1_nat_1(G,1)),1)) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,k4_struct_0(A),k1_matrixj1(k10_matrixj1(u1_struct_0(A),D),F),D))),k2_xcmplx_0(F,G)) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(G,1)),k7_partfun1(u1_struct_0(B),C,F)) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(F,G),1)) ) ) ) ) )).
fof(s2_nat_1__e21_45__trees_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( B = k1_funct_1(A,k5_numbers) => k3_finseq_1(B) = k5_numbers ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( D = k1_funct_1(A,C) => k3_finseq_1(D) = C ) ) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( E = k1_funct_1(A,k1_nat_1(C,1)) => k3_finseq_1(E) = k1_nat_1(C,1) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( F = k1_funct_1(A,C) => k3_finseq_1(F) = C ) ) ) ) ) )).
fof(s2_nat_1__e21_85__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))))) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => k1_binop_1(k6_real_ns1(B),C,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),D,k5_numbers)) = k5_numbers ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(A,E) => k1_binop_1(k6_real_ns1(B),C,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),D,E)) = k5_numbers ) => ( ~ r1_xxreal_0(A,k1_nat_1(E,1)) => k1_binop_1(k6_real_ns1(B),C,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),D,k1_nat_1(E,1))) = k5_numbers ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(A,E) => k1_binop_1(k6_real_ns1(B),C,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),D,E)) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e22_11__topmetr3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k5_numbers) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,k5_numbers)) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k5_numbers,B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,B)) ) => ( r1_xxreal_0(k5_numbers,k1_nat_1(B,1)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,B)) ) ) ) ) )).
fof(s2_nat_1__e22_12__topmetr3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k5_numbers) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,k5_numbers)) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k5_numbers,B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k5_numbers)) ) => ( r1_xxreal_0(k5_numbers,k1_nat_1(B,1)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,k5_numbers)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k5_numbers)) ) ) ) ) )).
fof(s2_nat_1__e22_37__mesfunc5,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,k5_numbers) = k5_numbers ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,C) = k5_numbers ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,k1_nat_1(C,1)) = k5_numbers ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,C) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e22_37__scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ! [H] : ( m2_finseq_1(H,k4_numbers) => ( ( k1_funct_1(D,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(D,k1_scmp_gcd(5)),k1_nat_1(k5_numbers,1)) & k1_funct_1(D,k1_scmp_gcd(4)) = k2_xcmplx_0(F,k1_funct_1(D,k1_scmp_gcd(5))) & F = k6_xcmplx_0(k1_funct_1(D,k1_scmp_gcd(3)),1) & k1_funct_1(D,k1_scmp_gcd(2)) = B & r1_xxreal_0(B,F) & r1_xxreal_0(k1_nat_1(C,1),k1_funct_1(D,k1_scmp_gcd(3))) & r1_xxreal_0(k1_funct_1(D,k1_scmp_gcd(4)),k2_xcmplx_0(C,A)) & r1_scpisort(G,D,C) & r1_scpisort(H,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),C) & k3_finseq_1(G) = A & k3_finseq_1(H) = A ) => ( r1_xxreal_0(k1_funct_1(D,k1_scmp_gcd(5)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(1)) = k1_funct_1(D,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(2)) = B & r1_xxreal_0(B,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(4)),k1_funct_1(D,k1_scmp_gcd(4))) & r2_classes1(G,H) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(k1_funct_1(D,k1_scmp_gcd(3)),I) & r1_xxreal_0(I,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(4))) ) => r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(I)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(B))) ) ) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k1_funct_1(D,k1_scmp_gcd(4))) => ( r1_xxreal_0(I,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(4))) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(I))) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(k1_nat_1(C,1),I) => ( ( r1_xxreal_0(k1_funct_1(D,k1_scmp_gcd(3)),I) & r1_xxreal_0(I,k1_funct_1(D,k1_scmp_gcd(4))) ) | k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),D,E),k1_scmp_gcd(I)) = k1_funct_1(D,k1_scmp_gcd(I)) ) ) ) ) ) ) ) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmpds_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( m2_finseq_1(N,k4_numbers) => ! [O] : ( m2_finseq_1(O,k4_numbers) => ( ( k1_funct_1(K,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(5)),k1_nat_1(J,1)) & k1_funct_1(K,k1_scmp_gcd(4)) = k2_xcmplx_0(M,k1_funct_1(K,k1_scmp_gcd(5))) & M = k6_xcmplx_0(k1_funct_1(K,k1_scmp_gcd(3)),1) & k1_funct_1(K,k1_scmp_gcd(2)) = B & r1_xxreal_0(B,M) & r1_xxreal_0(k1_nat_1(C,1),k1_funct_1(K,k1_scmp_gcd(3))) & r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(4)),k2_xcmplx_0(C,A)) & r1_scpisort(N,K,C) & r1_scpisort(O,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),C) & k3_finseq_1(N) = A & k3_finseq_1(O) = A ) => ( r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(5)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(1)) = k1_funct_1(K,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(2)) = B & r1_xxreal_0(B,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(4)),k1_funct_1(K,k1_scmp_gcd(4))) & r2_classes1(N,O) & ! [P] : ( v7_ordinal1(P) => ( ( r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(3)),P) & r1_xxreal_0(P,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(4))) ) => r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(P)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(B))) ) ) & ! [P] : ( v7_ordinal1(P) => ( r1_xxreal_0(P,k1_funct_1(K,k1_scmp_gcd(4))) => ( r1_xxreal_0(P,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(4))) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(P))) ) ) ) & ! [P] : ( v7_ordinal1(P) => ( r1_xxreal_0(k1_nat_1(C,1),P) => ( ( r1_xxreal_0(k1_funct_1(K,k1_scmp_gcd(3)),P) & r1_xxreal_0(P,k1_funct_1(K,k1_scmp_gcd(4))) ) | k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),K,L),k1_scmp_gcd(P)) = k1_funct_1(K,k1_scmp_gcd(P)) ) ) ) ) ) ) ) ) ) ) ) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_scmpds_2)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(Q,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(Q,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,k4_ordinal1) & v5_relat_1(R,u1_compos_1(k1_scmpds_2)) & v1_funct_1(R) & v1_partfun1(R,k4_ordinal1) ) => ! [S] : ( v7_ordinal1(S) => ! [T] : ( m2_finseq_1(T,k4_numbers) => ! [U] : ( m2_finseq_1(U,k4_numbers) => ( ( k1_funct_1(Q,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(Q,k1_scmp_gcd(5)),k1_nat_1(k1_nat_1(J,1),1)) & k1_funct_1(Q,k1_scmp_gcd(4)) = k2_xcmplx_0(S,k1_funct_1(Q,k1_scmp_gcd(5))) & S = k6_xcmplx_0(k1_funct_1(Q,k1_scmp_gcd(3)),1) & k1_funct_1(Q,k1_scmp_gcd(2)) = B & r1_xxreal_0(B,S) & r1_xxreal_0(k1_nat_1(C,1),k1_funct_1(Q,k1_scmp_gcd(3))) & r1_xxreal_0(k1_funct_1(Q,k1_scmp_gcd(4)),k2_xcmplx_0(C,A)) & r1_scpisort(T,Q,C) & r1_scpisort(U,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),C) & k3_finseq_1(T) = A & k3_finseq_1(U) = A ) => ( r1_xxreal_0(k1_funct_1(Q,k1_scmp_gcd(5)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(1)) = k1_funct_1(Q,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(2)) = B & r1_xxreal_0(B,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(4)),k1_funct_1(Q,k1_scmp_gcd(4))) & r2_classes1(T,U) & ! [V] : ( v7_ordinal1(V) => ( ( r1_xxreal_0(k1_funct_1(Q,k1_scmp_gcd(3)),V) & r1_xxreal_0(V,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(4))) ) => r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(V)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(B))) ) ) & ! [V] : ( v7_ordinal1(V) => ( r1_xxreal_0(V,k1_funct_1(Q,k1_scmp_gcd(4))) => ( r1_xxreal_0(V,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(4))) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(V))) ) ) ) & ! [V] : ( v7_ordinal1(V) => ( r1_xxreal_0(k1_nat_1(C,1),V) => ( ( r1_xxreal_0(k1_funct_1(Q,k1_scmp_gcd(3)),V) & r1_xxreal_0(V,k1_funct_1(Q,k1_scmp_gcd(4))) ) | k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),Q,R),k1_scmp_gcd(V)) = k1_funct_1(Q,k1_scmp_gcd(V)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [W] : ( ( v1_relat_1(W) & v4_relat_1(W,u1_struct_0(k1_scmpds_2)) & v1_funct_1(W) & v5_funct_1(W,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(W,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(W,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [X] : ( ( v1_relat_1(X) & v4_relat_1(X,k4_ordinal1) & v5_relat_1(X,u1_compos_1(k1_scmpds_2)) & v1_funct_1(X) & v1_partfun1(X,k4_ordinal1) ) => ! [Y] : ( v7_ordinal1(Y) => ! [Z] : ( m2_finseq_1(Z,k4_numbers) => ! [A1] : ( m2_finseq_1(A1,k4_numbers) => ( ( k1_funct_1(W,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(W,k1_scmp_gcd(5)),k1_nat_1(J,1)) & k1_funct_1(W,k1_scmp_gcd(4)) = k2_xcmplx_0(Y,k1_funct_1(W,k1_scmp_gcd(5))) & Y = k6_xcmplx_0(k1_funct_1(W,k1_scmp_gcd(3)),1) & k1_funct_1(W,k1_scmp_gcd(2)) = B & r1_xxreal_0(B,Y) & r1_xxreal_0(k1_nat_1(C,1),k1_funct_1(W,k1_scmp_gcd(3))) & r1_xxreal_0(k1_funct_1(W,k1_scmp_gcd(4)),k2_xcmplx_0(C,A)) & r1_scpisort(Z,W,C) & r1_scpisort(A1,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),C) & k3_finseq_1(Z) = A & k3_finseq_1(A1) = A ) => ( r1_xxreal_0(k1_funct_1(W,k1_scmp_gcd(5)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(1)) = k1_funct_1(W,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(2)) = B & r1_xxreal_0(B,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(4))) & r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(4)),k1_funct_1(W,k1_scmp_gcd(4))) & r2_classes1(Z,A1) & ! [B1] : ( v7_ordinal1(B1) => ( ( r1_xxreal_0(k1_funct_1(W,k1_scmp_gcd(3)),B1) & r1_xxreal_0(B1,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(4))) ) => r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(B1)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(B))) ) ) & ! [B1] : ( v7_ordinal1(B1) => ( r1_xxreal_0(B1,k1_funct_1(W,k1_scmp_gcd(4))) => ( r1_xxreal_0(B1,k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(4))) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(B)),k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(B1))) ) ) ) & ! [B1] : ( v7_ordinal1(B1) => ( r1_xxreal_0(k1_nat_1(C,1),B1) => ( ( r1_xxreal_0(k1_funct_1(W,k1_scmp_gcd(3)),B1) & r1_xxreal_0(B1,k1_funct_1(W,k1_scmp_gcd(4))) ) | k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k1_scmpds_4(k2_scmpds_8(k2_scmp_gcd,5,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,7,5),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,5,k5_numbers))))),k2_scmpds_8(k2_scmp_gcd,7,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,5,7),k11_scmpds_2(k2_scmp_gcd,7,k4_xcmplx_0(1))),k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(2),6,k5_numbers)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(3),6,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,6,k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,7,k5_numbers)))))),k7_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),6,k5_numbers),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(3),k5_numbers,k5_numbers)),k16_scmpds_2(k1_scmp_gcd(3),k2_scmp_gcd,k5_numbers,6)),k11_scmpds_2(k2_scmp_gcd,5,k4_xcmplx_0(2))),k11_scmpds_2(k2_scmp_gcd,3,1)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1)))))),W,X),k1_scmp_gcd(B1)) = k1_funct_1(W,k1_scmp_gcd(B1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e22_48__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) & v1_funct_1(G) & v1_funct_2(G,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) ) => ( ( ! [H] : ( m1_subset_1(H,k5_finsub_1(k9_matrix_1(A))) => ( k4_card_1(H) = k5_numbers => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,H) = k3_rlvect_1(B,k8_group_1(B,C,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,H)),k8_group_1(B,D,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),F,H))) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,k5_finsub_1(k9_matrix_1(A))) => ( k4_card_1(J) = I => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,J) = k3_rlvect_1(B,k8_group_1(B,C,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,J)),k8_group_1(B,D,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),F,J))) ) ) => ! [K] : ( m1_subset_1(K,k5_finsub_1(k9_matrix_1(A))) => ( k4_card_1(K) = k1_nat_1(I,1) => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,K) = k3_rlvect_1(B,k8_group_1(B,C,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,K)),k8_group_1(B,D,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),F,K))) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,k5_finsub_1(k9_matrix_1(A))) => ( k4_card_1(L) = I => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,L) = k3_rlvect_1(B,k8_group_1(B,C,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,L)),k8_group_1(B,D,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),F,L))) ) ) ) ) ) )).
fof(s2_nat_1__e22_70__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,D))) ) => ( ( ( ~ r1_xxreal_0(k1_afinsq_1(B),k5_numbers) => ( k8_nat_1(C,E,k5_numbers) = k8_nat_1(D,F,k5_numbers) & r2_tarski(k8_nat_1(C,E,k5_numbers),A) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( ~ r1_xxreal_0(k1_afinsq_1(B),G) => ( k8_nat_1(C,E,G) = k8_nat_1(D,F,G) & r2_tarski(k8_nat_1(C,E,G),A) ) ) => ( ~ r1_xxreal_0(k1_afinsq_1(B),k1_nat_1(G,1)) => ( k8_nat_1(C,E,k1_nat_1(G,1)) = k8_nat_1(D,F,k1_nat_1(G,1)) & r2_tarski(k8_nat_1(C,E,k1_nat_1(G,1)),A) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(k1_afinsq_1(B),G) => ( k8_nat_1(C,E,G) = k8_nat_1(D,F,G) & r2_tarski(k8_nat_1(C,E,G),A) ) ) ) ) ) )).
fof(s2_nat_1__e22_90__polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( C = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k5_numbers,B)) => r2_cfcont_1(C,k2_numbers) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( E = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),D,B)) => r2_cfcont_1(E,k2_numbers) ) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( F = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k1_nat_1(D,1),B)) => r2_cfcont_1(F,k2_numbers) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( G = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),D,B)) => r2_cfcont_1(G,k2_numbers) ) ) ) ) ) )).
fof(s2_nat_1__e22_92__afinsq_2,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,B,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(A,C) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,B,C)) ) => ( ~ r1_xxreal_0(A,k1_nat_1(C,1)) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(A,C) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,B,C)) ) ) ) ) )).
fof(s2_nat_1__e22_9__fib_fusc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & v5_memstr_0(C,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(C,k16_afinsq_1(1,B,k5_numbers,k5_numbers)) ) => ( ( ( ~ r1_xxreal_0(B,k5_numbers) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( D = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k1_nat_1(k3_xcmplx_0(6,k5_numbers),3)) => ( k1_funct_1(D,k10_ami_3(k5_numbers)) = 1 & k1_funct_1(D,k10_ami_3(1)) = k6_xcmplx_0(k6_xcmplx_0(B,1),k5_numbers) & k1_funct_1(D,k10_ami_3(2)) = k1_pre_ff(k5_numbers) & k1_funct_1(D,k10_ami_3(3)) = k1_pre_ff(k1_nat_1(k5_numbers,1)) & k5_memstr_0(k5_card_1(2),k1_ami_3,D) = 4 ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(B,E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_ami_3)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(F,u1_struct_0(k1_ami_3)) ) => ( F = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k1_nat_1(k3_xcmplx_0(6,E),3)) => ( k1_funct_1(F,k10_ami_3(k5_numbers)) = 1 & k1_funct_1(F,k10_ami_3(1)) = k6_xcmplx_0(k6_xcmplx_0(B,1),E) & k1_funct_1(F,k10_ami_3(2)) = k1_pre_ff(E) & k1_funct_1(F,k10_ami_3(3)) = k1_pre_ff(k1_nat_1(E,1)) & k5_memstr_0(k5_card_1(2),k1_ami_3,F) = 4 ) ) ) ) => ( ~ r1_xxreal_0(B,k1_nat_1(E,1)) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_ami_3)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(G,u1_struct_0(k1_ami_3)) ) => ( G = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k1_nat_1(k3_xcmplx_0(6,k1_nat_1(E,1)),3)) => ( k1_funct_1(G,k10_ami_3(k5_numbers)) = 1 & k1_funct_1(G,k10_ami_3(1)) = k6_xcmplx_0(k6_xcmplx_0(B,1),k1_nat_1(E,1)) & k1_funct_1(G,k10_ami_3(2)) = k1_pre_ff(k1_nat_1(E,1)) & k1_funct_1(G,k10_ami_3(3)) = k1_pre_ff(k1_nat_1(k1_nat_1(E,1),1)) & k5_memstr_0(k5_card_1(2),k1_ami_3,G) = 4 ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(B,E) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_ami_3)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(H,u1_struct_0(k1_ami_3)) ) => ( H = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k1_nat_1(k3_xcmplx_0(6,E),3)) => ( k1_funct_1(H,k10_ami_3(k5_numbers)) = 1 & k1_funct_1(H,k10_ami_3(1)) = k6_xcmplx_0(k6_xcmplx_0(B,1),E) & k1_funct_1(H,k10_ami_3(2)) = k1_pre_ff(E) & k1_funct_1(H,k10_ami_3(3)) = k1_pre_ff(k1_nat_1(E,1)) & k5_memstr_0(k5_card_1(2),k1_ami_3,H) = 4 ) ) ) ) ) ) ) )).
fof(s2_nat_1__e22_9__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,k6_numbers) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & v1_prob_2(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(D)) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,F,C)),k5_numbers) = k12_supinf_2(E,k5_numbers) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,k3_finseq_1(D)) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,F,C)),G) = k12_supinf_2(E,G) ) => ( r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(D)) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,F,C)),k1_nat_1(G,1)) = k12_supinf_2(E,k1_nat_1(G,1)) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k3_finseq_1(D)) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,F,C)),G) = k12_supinf_2(E,G) ) ) ) ) )).
fof(s2_nat_1__e23_100_1_2_1_1_1_1_1_1__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v3_euclid_7(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) & v7_ordinal1(C) & m2_finseq_1(D,k1_euclid(A)) ) => ( ( ~ ( r1_xxreal_0(k1_nat_1(k5_numbers,1),k1_nat_1(C,1)) & r2_tarski(k1_funct_1(D,k1_nat_1(k5_numbers,1)),u1_struct_0(k1_rlvect_3(k10_funcsdom(k2_finseq_1(A)),B))) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(C,1)) & r2_tarski(k1_funct_1(D,k1_nat_1(E,1)),u1_struct_0(k1_rlvect_3(k10_funcsdom(k2_finseq_1(A)),B))) ) => ~ ( r1_xxreal_0(k1_nat_1(k1_nat_1(E,1),1),k1_nat_1(C,1)) & r2_tarski(k1_funct_1(D,k1_nat_1(k1_nat_1(E,1),1)),u1_struct_0(k1_rlvect_3(k10_funcsdom(k2_finseq_1(A)),B))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(C,1)) & r2_tarski(k1_funct_1(D,k1_nat_1(E,1)),u1_struct_0(k1_rlvect_3(k10_funcsdom(k2_finseq_1(A)),B))) ) ) ) ) )).
fof(s2_nat_1__e23_12_1_1__scmfsa_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => ( ( r1_xxreal_0(1,k5_numbers) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers),C) = k5_numbers ) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( E != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers),E) = k1_funct_1(B,E) ) ) & ! [E] : ( m1_scmfsa_2(E) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers),E) = k18_scmfsa_2(B,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,D) => ( ( r1_xxreal_0(1,F) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),C) = F ) & ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmfsa_2)) ) => ( G != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),G) = k1_funct_1(B,G) ) ) & ! [G] : ( m1_scmfsa_2(G) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),G) = k18_scmfsa_2(B,G) ) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),D) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(F,1)),C) = k1_nat_1(F,1) ) & ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ( H != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(F,1)),H) = k1_funct_1(B,H) ) ) & ! [H] : ( m1_scmfsa_2(H) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(F,1)),H) = k18_scmfsa_2(B,H) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,D) => ( ( r1_xxreal_0(1,F) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),C) = F ) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ( I != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),I) = k1_funct_1(B,I) ) ) & ! [I] : ( m1_scmfsa_2(I) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),I) = k18_scmfsa_2(B,I) ) ) ) ) ) ) )).
fof(s2_nat_1__e23_42__exchsort,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_exchsort(A) & v3_ordinal1(B) ) => ( ( ( r2_tarski(k10_ordinal2(k1_ordinal1(B),k5_numbers),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),k5_numbers)),k1_funct_1(A,B)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(k10_ordinal2(k1_ordinal1(B),C),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),C)),k1_funct_1(A,B)) ) => ( r2_tarski(k10_ordinal2(k1_ordinal1(B),k1_nat_1(C,1)),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),k1_nat_1(C,1))),k1_funct_1(A,B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k10_ordinal2(k1_ordinal1(B),C),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),C)),k1_funct_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e23_48__sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k5_numbers),k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2))) = k2_xcmplx_0(k5_numbers,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k4_scmfsa_2(k5_numbers))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) & r4_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k5_numbers),B),k5_numbers) & r3_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k5_numbers),B),1,k5_numbers) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & v3_funct_2(E,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))))) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k5_numbers),B) = k1_partfun1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B)),k4_ordinal1,k4_numbers,E,k18_scmfsa_2(A,B)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,D) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2))) = k2_xcmplx_0(F,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k4_scmfsa_2(k5_numbers))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) & r4_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),B),F) & r3_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),B),1,F) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & v3_funct_2(G,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))))) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),B) = k1_partfun1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B)),k4_ordinal1,k4_numbers,G,k18_scmfsa_2(A,B)) ) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),D) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k1_nat_1(F,1)),k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2))) = k2_xcmplx_0(k1_nat_1(F,1),k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k4_scmfsa_2(k5_numbers))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k1_nat_1(F,1)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) & r4_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k1_nat_1(F,1)),B),k1_nat_1(F,1)) & r3_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k1_nat_1(F,1)),B),1,k1_nat_1(F,1)) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & v3_funct_2(H,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))))) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),k1_nat_1(F,1)),B) = k1_partfun1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B)),k4_ordinal1,k4_numbers,H,k18_scmfsa_2(A,B)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,D) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2))) = k2_xcmplx_0(F,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k4_scmfsa_2(k5_numbers))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2))))) & r4_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),B),F) & r3_graph_2(k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),B),1,F) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & v3_funct_2(I,k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B))))) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(C,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k4_scmfsa_2(k5_numbers),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_scmfsa6a(k3_sfmastr3(k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)),B),k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k16_scmfsa_2(k1_sfmastr1(1,k4_sfmastr3(B,k9_scmfsa_m(1,k1_subset_1(k2_scmfsa_2)),k9_scmfsa_m(2,k1_subset_1(k2_scmfsa_2)))),B),k1_scmfsa_m(A))),F),B) = k1_partfun1(k4_finseq_1(k18_scmfsa_2(A,B)),k4_finseq_1(k18_scmfsa_2(A,B)),k4_ordinal1,k4_numbers,I,k18_scmfsa_2(A,B)) ) ) ) ) ) ) )).
fof(s2_nat_1__e23_76__fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m2_finseq_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_fintopo6(A,C)))) ) => ( ( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),k3_finseq_1(B)) => ( r2_tarski(k1_funct_1(B,k1_nat_1(k5_numbers,1)),k7_fintopo3(k1_fintopo6(A,C),D,k5_numbers)) & ~ ( r1_xxreal_0(1,k5_numbers) & r2_tarski(k1_funct_1(B,k1_nat_1(k5_numbers,1)),k7_fintopo3(k1_fintopo6(A,C),D,k7_nat_d(k5_numbers,1))) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) => ( r2_tarski(k1_funct_1(B,k1_nat_1(E,1)),k7_fintopo3(k1_fintopo6(A,C),D,E)) & ~ ( r1_xxreal_0(1,E) & r2_tarski(k1_funct_1(B,k1_nat_1(E,1)),k7_fintopo3(k1_fintopo6(A,C),D,k7_nat_d(E,1))) ) ) ) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(E,1),1),k3_finseq_1(B)) => ( r2_tarski(k1_funct_1(B,k1_nat_1(k1_nat_1(E,1),1)),k7_fintopo3(k1_fintopo6(A,C),D,k1_nat_1(E,1))) & ~ ( r1_xxreal_0(1,k1_nat_1(E,1)) & r2_tarski(k1_funct_1(B,k1_nat_1(k1_nat_1(E,1),1)),k7_fintopo3(k1_fintopo6(A,C),D,k7_nat_d(k1_nat_1(E,1),1))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) => ( r2_tarski(k1_funct_1(B,k1_nat_1(E,1)),k7_fintopo3(k1_fintopo6(A,C),D,E)) & ~ ( r1_xxreal_0(1,E) & r2_tarski(k1_funct_1(B,k1_nat_1(E,1)),k7_fintopo3(k1_fintopo6(A,C),D,k7_nat_d(E,1))) ) ) ) ) ) ) )).
fof(s2_nat_1__e23_98__graphsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) & ~ v2_struct_0(C) & v2_graph_1(C) & v6_graph_1(C) & l1_graph_1(C) & v1_funct_1(D) & v1_funct_2(D,u4_struct_0(C),k8_graph_5) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),k8_graph_5))) & m1_subset_1(E,u1_struct_0(C)) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A)),B,A)) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( v7_ordinal1(G) => ~ ( F != E & F = G & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),k2_xcmplx_0(A,G)) != k4_xcmplx_0(1) & ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ! [I] : ( ( v7_graph_1(I,C) & m2_graph_1(I,C) ) => ~ ( r4_graphsp(H,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),G,A) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(1,J) => ( r1_xxreal_0(k3_finseq_1(H),J) | r2_tarski(k1_funct_1(H,J),k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),A)) ) ) ) & r5_graphsp(C,I,H) & r8_graph_5(C,E,F,I,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),A),D) & k10_graph_5(C,I,D) = k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),k2_xcmplx_0(k3_xcmplx_0(2,A),G)) & ( ~ r2_tarski(F,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),A)) => r9_graph_5(C,I,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),A),E,D) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),k2_xcmplx_0(A,G)) = k4_xcmplx_0(1) & r1_xxreal_0(1,G) & r1_xxreal_0(G,A) & r2_tarski(F,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),A)) ) => k1_funct_1(B,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,A),k3_xcmplx_0(A,F)),G)) = k4_xcmplx_0(1) ) ) ) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),A)) & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),k2_xcmplx_0(A,F)) = k4_xcmplx_0(1) ) ) ) ) & ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(K,k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A)),B,A)) => ( ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => ! [M] : ( v7_ordinal1(M) => ~ ( L != E & L = M & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(A,M)) != k4_xcmplx_0(1) & ! [N] : ( m2_finseq_1(N,k4_ordinal1) => ! [O] : ( ( v7_graph_1(O,C) & m2_graph_1(O,C) ) => ~ ( r4_graphsp(N,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),M,A) & ! [P] : ( v7_ordinal1(P) => ( r1_xxreal_0(1,P) => ( r1_xxreal_0(k3_finseq_1(N),P) | r2_tarski(k1_funct_1(N,P),k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) ) ) ) & r5_graphsp(C,O,N) & r8_graph_5(C,E,L,O,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A),D) & k10_graph_5(C,O,D) = k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(k3_xcmplx_0(2,A),M)) & ( ~ r2_tarski(L,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) => r9_graph_5(C,O,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A),E,D) ) ) ) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ( ( k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(A,M)) = k4_xcmplx_0(1) & r1_xxreal_0(1,M) & r1_xxreal_0(M,A) & r2_tarski(L,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) ) => k1_funct_1(B,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,A),k3_xcmplx_0(A,L)),M)) = k4_xcmplx_0(1) ) ) ) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(A,L)) = k4_xcmplx_0(1) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(K,1),k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A)),B,A)) => ( ! [Q] : ( m1_subset_1(Q,u1_struct_0(C)) => ! [R] : ( v7_ordinal1(R) => ~ ( Q != E & Q = R & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),k2_xcmplx_0(A,R)) != k4_xcmplx_0(1) & ! [S] : ( m2_finseq_1(S,k4_ordinal1) => ! [T] : ( ( v7_graph_1(T,C) & m2_graph_1(T,C) ) => ~ ( r4_graphsp(S,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),R,A) & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(1,U) => ( r1_xxreal_0(k3_finseq_1(S),U) | r2_tarski(k1_funct_1(S,U),k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),A)) ) ) ) & r5_graphsp(C,T,S) & r8_graph_5(C,E,Q,T,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),A),D) & k10_graph_5(C,T,D) = k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),k2_xcmplx_0(k3_xcmplx_0(2,A),R)) & ( ~ r2_tarski(Q,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),A)) => r9_graph_5(C,T,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),A),E,D) ) ) ) ) ) ) ) & ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( v7_ordinal1(R) => ( ( k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),k2_xcmplx_0(A,R)) = k4_xcmplx_0(1) & r1_xxreal_0(1,R) & r1_xxreal_0(R,A) & r2_tarski(Q,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),A)) ) => k1_funct_1(B,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,A),k3_xcmplx_0(A,Q)),R)) = k4_xcmplx_0(1) ) ) ) & ! [Q] : ( v7_ordinal1(Q) => ~ ( r2_tarski(Q,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),A)) & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(K,1)),B),k2_xcmplx_0(A,Q)) = k4_xcmplx_0(1) ) ) ) ) ) ) ) => ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(K,k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A)),B,A)) => ( ! [V] : ( m1_subset_1(V,u1_struct_0(C)) => ! [W] : ( v7_ordinal1(W) => ~ ( V != E & V = W & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(A,W)) != k4_xcmplx_0(1) & ! [X] : ( m2_finseq_1(X,k4_ordinal1) => ! [Y] : ( ( v7_graph_1(Y,C) & m2_graph_1(Y,C) ) => ~ ( r4_graphsp(X,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),W,A) & ! [Z] : ( v7_ordinal1(Z) => ( r1_xxreal_0(1,Z) => ( r1_xxreal_0(k3_finseq_1(X),Z) | r2_tarski(k1_funct_1(X,Z),k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) ) ) ) & r5_graphsp(C,Y,X) & r8_graph_5(C,E,V,Y,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A),D) & k10_graph_5(C,Y,D) = k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(k3_xcmplx_0(2,A),W)) & ( ~ r2_tarski(V,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) => r9_graph_5(C,Y,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A),E,D) ) ) ) ) ) ) ) & ! [V] : ( v7_ordinal1(V) => ! [W] : ( v7_ordinal1(W) => ( ( k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(A,W)) = k4_xcmplx_0(1) & r1_xxreal_0(1,W) & r1_xxreal_0(W,A) & r2_tarski(V,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) ) => k1_funct_1(B,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,A),k3_xcmplx_0(A,V)),W)) = k4_xcmplx_0(1) ) ) ) & ! [V] : ( v7_ordinal1(V) => ~ ( r2_tarski(V,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),A)) & k1_funct_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),K),B),k2_xcmplx_0(A,V)) = k4_xcmplx_0(1) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e24_11__topmetr3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,D)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_nat_1(C,1),E) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(C,1)),k8_nat_1(k1_numbers,A,E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(C,F) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,F)) ) ) ) ) ) )).
fof(s2_nat_1__e24_121__abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & l3_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_rewrite1(C,k11_abcmiz_0(A)) & m2_finseq_1(D,u1_abcmiz_0(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(C)) => k1_funct_1(k3_finseq_5(C),k2_xcmplx_0(1,k5_numbers)) = k1_funct_1(k7_abcmiz_0(A,B,k4_finseq_5(u1_abcmiz_0(A),D)),k2_xcmplx_0(1,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(C)) => k1_funct_1(k3_finseq_5(C),k2_xcmplx_0(1,E)) = k1_funct_1(k7_abcmiz_0(A,B,k4_finseq_5(u1_abcmiz_0(A),D)),k2_xcmplx_0(1,E)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(E,1)),k3_finseq_1(C)) => k1_funct_1(k3_finseq_5(C),k2_xcmplx_0(1,k1_nat_1(E,1))) = k1_funct_1(k7_abcmiz_0(A,B,k4_finseq_5(u1_abcmiz_0(A),D)),k2_xcmplx_0(1,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(C)) => k1_funct_1(k3_finseq_5(C),k2_xcmplx_0(1,E)) = k1_funct_1(k7_abcmiz_0(A,B,k4_finseq_5(u1_abcmiz_0(A),D)),k2_xcmplx_0(1,E)) ) ) ) ) )).
fof(s2_nat_1__e24_12__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)))) ) => ( ( ! [F] : ( m1_subset_1(F,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(F) = k5_numbers & r1_tarski(F,C) ) => ( ( k4_nat_d(k4_card_1(F),2) = k5_numbers => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,F) = k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,F) ) & ( k4_nat_d(k4_card_1(F),2) = 1 => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,F) = k4_algstr_0(B,k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,F)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(H) = G & r1_tarski(H,C) ) => ( ( k4_nat_d(k4_card_1(H),2) = k5_numbers => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,H) = k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,H) ) & ( k4_nat_d(k4_card_1(H),2) = 1 => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,H) = k4_algstr_0(B,k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,H)) ) ) ) ) => ! [I] : ( m1_subset_1(I,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(I) = k1_nat_1(G,1) & r1_tarski(I,C) ) => ( ( k4_nat_d(k4_card_1(I),2) = k5_numbers => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,I) = k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,I) ) & ( k4_nat_d(k4_card_1(I),2) = 1 => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,I) = k4_algstr_0(B,k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,I)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m1_subset_1(J,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(J) = G & r1_tarski(J,C) ) => ( ( k4_nat_d(k4_card_1(J),2) = k5_numbers => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,J) = k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,J) ) & ( k4_nat_d(k4_card_1(J),2) = 1 => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,J) = k4_algstr_0(B,k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),E,J)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e24_12__topmetr3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k5_numbers)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => r1_xxreal_0(k8_nat_1(k1_numbers,A,D),k8_nat_1(k1_numbers,A,C)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_nat_1(C,1),E) => r1_xxreal_0(k8_nat_1(k1_numbers,A,E),k8_nat_1(k1_numbers,A,k1_nat_1(C,1))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(C,F) => r1_xxreal_0(k8_nat_1(k1_numbers,A,F),k8_nat_1(k1_numbers,A,C)) ) ) ) ) ) )).
fof(s2_nat_1__e24_38_1_1_4__petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,k4_petri_df(A)) & m2_finseq_1(D,k4_petri_df(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,k5_numbers)) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,E)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(E,1)),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,k1_nat_1(E,1))) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,E)) ) ) ) ) )).
fof(s2_nat_1__e24_72__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k7_real_ns1(A))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_real_ns1(A))))) ) => ( ( ( ~ r1_xxreal_0(B,k5_numbers) => k1_binop_1(k6_real_ns1(A),C,k8_nat_1(u1_struct_0(k7_real_ns1(A)),D,k5_numbers)) = k5_numbers ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(B,E) => k1_binop_1(k6_real_ns1(A),C,k8_nat_1(u1_struct_0(k7_real_ns1(A)),D,E)) = k5_numbers ) => ( ~ r1_xxreal_0(B,k1_nat_1(E,1)) => k1_binop_1(k6_real_ns1(A),C,k8_nat_1(u1_struct_0(k7_real_ns1(A)),D,k1_nat_1(E,1))) = k5_numbers ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(B,E) => k1_binop_1(k6_real_ns1(A),C,k8_nat_1(u1_struct_0(k7_real_ns1(A)),D,E)) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e24_94__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_turing_1(A) & l1_turing_1(B) & m1_subset_1(C,k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)))) & m1_subset_1(D,k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))))) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( ( ( r1_xxreal_0(k5_numbers,F) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),k1_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k5_numbers))) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),k5_numbers)) & k2_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k5_numbers)) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),k5_numbers)) & k3_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k5_numbers)) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),k5_numbers)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,F) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),k1_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),G))) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),G)) & k2_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),G)) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),G)) & k3_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),G)) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),G)) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),F) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),k1_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k1_nat_1(G,1)))) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),k1_nat_1(G,1))) & k2_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k1_nat_1(G,1))) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),k1_nat_1(G,1))) & k3_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k1_nat_1(G,1))) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),k1_nat_1(G,1))) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,F) => ( k1_domain_1(u2_turing_1(A),u2_turing_1(B),u5_turing_1(A),k1_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),G))) = k1_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),G)) & k2_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),G)) = k2_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),G)) & k3_mcart_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)),k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),G)) = k3_mcart_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B))),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),k8_nat_1(k3_zfmisc_1(u2_turing_1(k31_turing_1(A,B)),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k31_turing_1(A,B)))),k9_turing_1(k31_turing_1(A,B),D),E)),G)) ) ) ) ) ) )).
fof(s2_nat_1__e24_9__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,k6_numbers) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & v1_prob_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(D),k5_numbers) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k6_xcmplx_0(k3_finseq_1(D),k5_numbers)),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D))) ) & ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(k3_finseq_1(D),F) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k6_xcmplx_0(k3_finseq_1(D),F)),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D))) ) => ( ~ r1_xxreal_0(k3_finseq_1(D),k1_nat_1(F,1)) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k6_xcmplx_0(k3_finseq_1(D),k1_nat_1(F,1))),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(k3_finseq_1(D),F) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k6_xcmplx_0(k3_finseq_1(D),F)),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D))) ) ) ) ) )).
fof(s2_nat_1__e25_12_1_2__scmfsa_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_nat_1(k1_nat_1(D,1),1)) => ( ( r1_xxreal_0(1,k5_numbers) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers),C) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k5_numbers),1),1) ) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( E != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers),E) = k1_funct_1(B,E) ) ) & ! [E] : ( m1_scmfsa_2(E) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers),E) = k18_scmfsa_2(B,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k1_nat_1(k1_nat_1(D,1),1)) => ( ( r1_xxreal_0(1,F) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),C) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(F),1),1) ) & ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmfsa_2)) ) => ( G != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),G) = k1_funct_1(B,G) ) ) & ! [G] : ( m1_scmfsa_2(G) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),G) = k18_scmfsa_2(B,G) ) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),k1_nat_1(k1_nat_1(D,1),1)) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(F,1)),C) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k1_nat_1(F,1)),1),1) ) & ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ( H != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(F,1)),H) = k1_funct_1(B,H) ) ) & ! [H] : ( m1_scmfsa_2(H) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(F,1)),H) = k18_scmfsa_2(B,H) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k1_nat_1(k1_nat_1(D,1),1)) => ( ( r1_xxreal_0(1,F) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),C) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(F),1),1) ) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ( I != C => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),I) = k1_funct_1(B,I) ) ) & ! [I] : ( m1_scmfsa_2(I) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,F),I) = k18_scmfsa_2(B,I) ) ) ) ) ) ) )).
fof(s2_nat_1__e25_16__scmring4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmring2(B))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(C,u1_struct_0(k1_scmring2(B))) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(B))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(D,u1_struct_0(k1_scmring2(B))) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmring2(B))) & v1_funct_1(E) & v1_finset_1(E) & ~ v2_compos_1(E,k1_scmring2(B)) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmring2(B))) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & ~ v1_xboole_0(F) & v1_finset_1(F) & v4_extpro_1(F,k5_card_1(2),k1_scmring2(B),E) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmring2(B))) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) & v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmring2(B))) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,k5_numbers)),A) = k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k5_numbers)) & k8_compos_0(u1_compos_1(k1_scmring2(B)),k3_extpro_1(k5_card_1(2),k1_scmring2(B),G,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,k5_numbers)),A) = k3_extpro_1(k5_card_1(2),k1_scmring2(B),H,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k5_numbers)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,k5_numbers),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k5_numbers),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) & k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,k1_funct_4(C,k6_memstr_0(k5_card_1(2),k1_scmring2(B),D)),k5_numbers)) = k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k5_numbers)) & ! [I] : ( v7_ordinal1(I) => ( ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I)),A) = k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) & k8_compos_0(u1_compos_1(k1_scmring2(B)),k3_extpro_1(k5_card_1(2),k1_scmring2(B),G,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I)),A) = k3_extpro_1(k5_card_1(2),k1_scmring2(B),H,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) & k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,k1_funct_4(C,k6_memstr_0(k5_card_1(2),k1_scmring2(B),D)),I)) = k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) ) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,k1_nat_1(I,1))),A) = k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k1_nat_1(I,1))) & k8_compos_0(u1_compos_1(k1_scmring2(B)),k3_extpro_1(k5_card_1(2),k1_scmring2(B),G,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,k1_nat_1(I,1))),A) = k3_extpro_1(k5_card_1(2),k1_scmring2(B),H,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k1_nat_1(I,1))) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,k1_nat_1(I,1)),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k1_nat_1(I,1)),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) & k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,k1_funct_4(C,k6_memstr_0(k5_card_1(2),k1_scmring2(B),D)),k1_nat_1(I,1))) = k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,k1_nat_1(I,1))) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I)),A) = k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) & k8_compos_0(u1_compos_1(k1_scmring2(B)),k3_extpro_1(k5_card_1(2),k1_scmring2(B),G,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I)),A) = k3_extpro_1(k5_card_1(2),k1_scmring2(B),H,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) & k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,k1_funct_4(C,k6_memstr_0(k5_card_1(2),k1_scmring2(B),D)),I)) = k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) ) ) ) ) )).
fof(s2_nat_1__e25_85__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))))) & m1_subset_1(E,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) & m2_rlvect_2(F,k10_funcsdom(k2_finseq_1(B)),D) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k10_funcsdom(k2_finseq_1(B)))))) ) => ( ( ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(B),E,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),G,k5_numbers)) = k1_binop_1(k6_real_ns1(B),E,k1_rlvect_1(k10_funcsdom(k2_finseq_1(B)),E,k3_funct_2(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),k1_numbers,F,k7_partfun1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),C,A)))) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(A,H) & r1_xxreal_0(H,k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(B),E,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),G,H)) = k1_binop_1(k6_real_ns1(B),E,k1_rlvect_1(k10_funcsdom(k2_finseq_1(B)),E,k3_funct_2(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),k1_numbers,F,k7_partfun1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),C,A)))) ) => ( ( r1_xxreal_0(A,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(B),E,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),G,k1_nat_1(H,1))) = k1_binop_1(k6_real_ns1(B),E,k1_rlvect_1(k10_funcsdom(k2_finseq_1(B)),E,k3_funct_2(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),k1_numbers,F,k7_partfun1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),C,A)))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(A,H) & r1_xxreal_0(H,k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(B),E,k8_nat_1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),G,H)) = k1_binop_1(k6_real_ns1(B),E,k1_rlvect_1(k10_funcsdom(k2_finseq_1(B)),E,k3_funct_2(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),k1_numbers,F,k7_partfun1(u1_struct_0(k10_funcsdom(k2_finseq_1(B))),C,A)))) ) ) ) ) )).
fof(s2_nat_1__e26_17_1_1_4__boolmark,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,k1_boolmark(A)) & m2_finseq_1(D,k1_boolmark(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,k5_numbers)) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,E)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(E,1)),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,k1_nat_1(E,1))) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,E)) ) ) ) ) )).
fof(s2_nat_1__e26_37__goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))))) ) => ( ( v1_finset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,k5_numbers))) & m1_subset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,k5_numbers)),k1_zfmisc_1(k3_qc_lang1(A))) & ! [C] : ( v7_ordinal1(C) => ( ( v1_finset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,C))) & m1_subset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,C)),k1_zfmisc_1(k3_qc_lang1(A))) ) => ( v1_finset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,k1_nat_1(C,1)))) & m1_subset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,k1_nat_1(C,1))),k1_zfmisc_1(k3_qc_lang1(A))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( v1_finset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,C))) & m1_subset_1(k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),B,C)),k1_zfmisc_1(k3_qc_lang1(A))) ) ) ) ) )).
fof(s2_nat_1__e26_39_1_1_4__petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,k4_petri_df(A)) & m2_finseq_1(D,k4_petri_df(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,k5_numbers)) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,E)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(E,1)),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,k1_nat_1(E,1))) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k4_petri_df(A),C,k2_xcmplx_0(1,E)) ) ) ) ) )).
fof(s2_nat_1__e26_56__aescip_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & m2_finseq_1(C,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => k1_funct_1(C,k1_nat_1(k5_numbers,1)) = k1_funct_1(B,k6_xcmplx_0(A,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(A,D) => k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(B,k6_xcmplx_0(A,D)) ) => ( ~ r1_xxreal_0(A,k1_nat_1(D,1)) => k1_funct_1(C,k1_nat_1(k1_nat_1(D,1),1)) = k1_funct_1(B,k6_xcmplx_0(A,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(A,D) => k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(B,k6_xcmplx_0(A,D)) ) ) ) ) )).
fof(s2_nat_1__e26_57__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v4_ordinal5(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( r2_tarski(k1_ordinal5(A,k5_numbers),k1_funct_1(B,k1_nat_1(k5_numbers,1))) & r2_tarski(k1_funct_1(B,k5_numbers),k1_ordinal5(A,k1_nat_1(k5_numbers,2))) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(k1_ordinal5(A,C),k1_funct_1(B,k1_nat_1(C,1))) & r2_tarski(k1_funct_1(B,C),k1_ordinal5(A,k1_nat_1(C,2))) ) => ( r2_tarski(k1_ordinal5(A,k1_nat_1(C,1)),k1_funct_1(B,k1_nat_1(k1_nat_1(C,1),1))) & r2_tarski(k1_funct_1(B,k1_nat_1(C,1)),k1_ordinal5(A,k1_nat_1(k1_nat_1(C,1),2))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k1_ordinal5(A,C),k1_funct_1(B,k1_nat_1(C,1))) & r2_tarski(k1_funct_1(B,C),k1_ordinal5(A,k1_nat_1(C,2))) ) ) ) ) )).
fof(s2_nat_1__e26_72_2__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_hilbert1) & m2_finseq_1(B,k1_hilbert1) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => r8_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,k7_nat_d(k3_finseq_1(B),k5_numbers),B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),k7_nat_d(k3_finseq_1(B),k5_numbers))) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k3_finseq_1(B),C) => r8_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,k7_nat_d(k3_finseq_1(B),C),B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),k7_nat_d(k3_finseq_1(B),C))) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),k1_nat_1(C,1)) => r8_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,k7_nat_d(k3_finseq_1(B),k1_nat_1(C,1)),B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),k7_nat_d(k3_finseq_1(B),k1_nat_1(C,1)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => r8_ltlaxio1(k2_relset_1(k1_hilbert1,k2_rfinseq(k1_hilbert1,k7_nat_d(k3_finseq_1(B),C),B)),k7_partfun1(k1_hilbert1,k3_ltlaxio2(B,A),k7_nat_d(k3_finseq_1(B),C))) ) ) ) ) )).
fof(s2_nat_1__e26_82__fib_num2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v7_ordinal1(C) ) => ( ( r1_nat_d(A,k1_pre_ff(k7_nat_d(B,k3_xcmplx_0(C,k1_nat_1(k5_numbers,1))))) & r1_xxreal_0(C,k7_xcmplx_0(B,k1_nat_1(k5_numbers,2))) & ! [D] : ( v7_ordinal1(D) => ( ( r1_nat_d(A,k1_pre_ff(k7_nat_d(B,k3_xcmplx_0(C,k1_nat_1(D,1))))) & r1_xxreal_0(C,k7_xcmplx_0(B,k1_nat_1(D,2))) ) => ( r1_nat_d(A,k1_pre_ff(k7_nat_d(B,k3_xcmplx_0(C,k1_nat_1(k1_nat_1(D,1),1))))) & r1_xxreal_0(C,k7_xcmplx_0(B,k1_nat_1(k1_nat_1(D,1),2))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_nat_d(A,k1_pre_ff(k7_nat_d(B,k3_xcmplx_0(C,k1_nat_1(D,1))))) & r1_xxreal_0(C,k7_xcmplx_0(B,k1_nat_1(D,2))) ) ) ) ) )).
fof(s2_nat_1__e27_12__fib_fusc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ( ( ( r1_xxreal_0(k5_numbers,k2_xcmplx_0(k3_power(2,B),1)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( D = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k3_xcmplx_0(6,k5_numbers)) => ( k5_memstr_0(k5_card_1(2),k1_ami_3,D) = k5_numbers & k1_funct_1(D,k10_ami_3(k5_numbers)) = 2 & k1_funct_1(D,k10_ami_3(1)) = k4_int_1(B,k1_newton(2,k5_numbers)) & m1_subset_1(k1_funct_1(D,k10_ami_3(1)),k4_ordinal1) & k2_pre_ff(B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(D,k10_ami_3(2)),k2_fib_fusc(k1_funct_1(D,k10_ami_3(1)))),k3_xcmplx_0(k1_funct_1(D,k10_ami_3(3)),k2_fib_fusc(k2_xcmplx_0(k1_funct_1(D,k10_ami_3(1)),1)))) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k2_xcmplx_0(k3_power(2,B),1)) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_ami_3)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(F,u1_struct_0(k1_ami_3)) ) => ( F = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k3_xcmplx_0(6,E)) => ( k5_memstr_0(k5_card_1(2),k1_ami_3,F) = k5_numbers & k1_funct_1(F,k10_ami_3(k5_numbers)) = 2 & k1_funct_1(F,k10_ami_3(1)) = k4_int_1(B,k1_newton(2,E)) & m1_subset_1(k1_funct_1(F,k10_ami_3(1)),k4_ordinal1) & k2_pre_ff(B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(F,k10_ami_3(2)),k2_fib_fusc(k1_funct_1(F,k10_ami_3(1)))),k3_xcmplx_0(k1_funct_1(F,k10_ami_3(3)),k2_fib_fusc(k2_xcmplx_0(k1_funct_1(F,k10_ami_3(1)),1)))) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k2_xcmplx_0(k3_power(2,B),1)) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_ami_3)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(G,u1_struct_0(k1_ami_3)) ) => ( G = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k3_xcmplx_0(6,k1_nat_1(E,1))) => ( k5_memstr_0(k5_card_1(2),k1_ami_3,G) = k5_numbers & k1_funct_1(G,k10_ami_3(k5_numbers)) = 2 & k1_funct_1(G,k10_ami_3(1)) = k4_int_1(B,k1_newton(2,k1_nat_1(E,1))) & m1_subset_1(k1_funct_1(G,k10_ami_3(1)),k4_ordinal1) & k2_pre_ff(B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,k10_ami_3(2)),k2_fib_fusc(k1_funct_1(G,k10_ami_3(1)))),k3_xcmplx_0(k1_funct_1(G,k10_ami_3(3)),k2_fib_fusc(k2_xcmplx_0(k1_funct_1(G,k10_ami_3(1)),1)))) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k2_xcmplx_0(k3_power(2,B),1)) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_ami_3)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(H,u1_struct_0(k1_ami_3)) ) => ( H = k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k3_xcmplx_0(6,E)) => ( k5_memstr_0(k5_card_1(2),k1_ami_3,H) = k5_numbers & k1_funct_1(H,k10_ami_3(k5_numbers)) = 2 & k1_funct_1(H,k10_ami_3(1)) = k4_int_1(B,k1_newton(2,E)) & m1_subset_1(k1_funct_1(H,k10_ami_3(1)),k4_ordinal1) & k2_pre_ff(B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(H,k10_ami_3(2)),k2_fib_fusc(k1_funct_1(H,k10_ami_3(1)))),k3_xcmplx_0(k1_funct_1(H,k10_ami_3(3)),k2_fib_fusc(k2_xcmplx_0(k1_funct_1(H,k10_ami_3(1)),1)))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e27_9__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_finseq_1(D,k6_numbers) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & v1_prob_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ( r1_xxreal_0(k3_finseq_1(D),k5_numbers) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k5_numbers) = k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k3_finseq_1(D),F) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D)) ) => ( r1_xxreal_0(k3_finseq_1(D),k1_nat_1(F,1)) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k1_nat_1(F,1)) = k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k3_finseq_1(D),F) => k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k3_finseq_1(D)) ) ) ) ) )).
fof(s2_nat_1__e28_1__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k12_supinf_2(B,k5_numbers) = k3_supinf_2(k12_supinf_2(C,k5_numbers),k12_supinf_2(D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(A)) => k12_supinf_2(B,E) = k3_supinf_2(k12_supinf_2(C,E),k12_supinf_2(D,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) => k12_supinf_2(B,k1_nat_1(E,1)) = k3_supinf_2(k12_supinf_2(C,k1_nat_1(E,1)),k12_supinf_2(D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k3_finseq_1(A)) => k12_supinf_2(B,E) = k3_supinf_2(k12_supinf_2(C,E),k12_supinf_2(D,E)) ) ) ) ) )).
fof(s2_nat_1__e28_27__scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(D,k5_numbers) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) = k4_card_1(C) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) = k2_compos_1(k1_scmfsa_2) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,E) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) = k4_card_1(C) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) = k2_compos_1(k1_scmfsa_2) ) ) => ( r1_xxreal_0(D,k1_nat_1(E,1)) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))) = k4_card_1(C) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(E,1))) = k2_compos_1(k1_scmfsa_2) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(D,E) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) = k4_card_1(C) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)) = k2_compos_1(k1_scmfsa_2) ) ) ) ) ) )).
fof(s2_nat_1__e28_38_1_1_4__petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,u4_struct_0(A)) & m2_finseq_1(D,k4_petri_df(A)) & m2_finseq_1(E,k4_petri_df(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k5_numbers)) = k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(1,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(1,F)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(F,1)),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k1_nat_1(F,1))) = k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(1,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(1,F)) ) ) ) ) )).
fof(s2_nat_1__e28_43__exchsort,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) & v3_ordinal1(B) ) => ( ( ( r2_tarski(k10_ordinal2(k1_ordinal1(B),k5_numbers),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),k5_numbers)),k1_funct_1(A,B)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(k10_ordinal2(k1_ordinal1(B),C),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),C)),k1_funct_1(A,B)) ) => ( r2_tarski(k10_ordinal2(k1_ordinal1(B),k1_nat_1(C,1)),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),k1_nat_1(C,1))),k1_funct_1(A,B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k10_ordinal2(k1_ordinal1(B),C),k9_xtuple_0(A)) => r2_xboole_0(k1_funct_1(A,k10_ordinal2(k1_ordinal1(B),C)),k1_funct_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e28_48__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_matrlin(C,A,B) & m1_matrixj2(D,A,k4_struct_0(A)) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v7_ordinal1(G) ) => ( ( ( r2_tarski(k5_numbers,k2_finseq_1(E)) => ( k5_numbers = E | k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,F,k5_numbers),k7_partfun1(u1_struct_0(B),C,k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),1))) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),k5_numbers),1)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k2_finseq_1(E)) => ( H = E | k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,F,H),k7_partfun1(u1_struct_0(B),C,k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),1))) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),H),1)) ) ) => ( r2_tarski(k1_nat_1(H,1),k2_finseq_1(E)) => ( k1_nat_1(H,1) = E | k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,F,k1_nat_1(H,1)),k7_partfun1(u1_struct_0(B),C,k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),1))) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),k1_nat_1(H,1)),1)) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(E)) => ( H = E | k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,F,H),k7_partfun1(u1_struct_0(B),C,k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),1))) = k7_partfun1(u1_struct_0(B),C,k1_nat_1(k2_xcmplx_0(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(G,1),k10_matrixj1(u1_struct_0(A),D))),H),1)) ) ) ) ) ) )).
fof(s2_nat_1__e28_52__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & D = a_3_15_dickson(A,B,C) & ~ v1_finset_1(a_3_12_dickson(A,B,C)) & E = o_2_8_dickson(A,D) & k8_nat_1(k4_ordinal1,C,k1_nat_1(k5_numbers,1)) = k8_dickson(A,B,o_4_10_dickson(A,B,C,E),k8_nat_1(k4_ordinal1,C,k5_numbers)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & G = a_4_9_dickson(A,B,C,F) & ~ v1_finset_1(a_4_8_dickson(A,B,C,F)) & H = o_2_8_dickson(A,G) & k8_nat_1(k4_ordinal1,C,k1_nat_1(F,1)) = k8_dickson(A,B,o_5_0_dickson(A,B,C,F,H),k8_nat_1(k4_ordinal1,C,F)) ) ) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( ~ v1_xboole_0(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & I = a_4_13_dickson(A,B,C,F) & ~ v1_finset_1(a_4_14_dickson(A,B,C,F)) & J = o_2_8_dickson(A,I) & k8_nat_1(k4_ordinal1,C,k1_nat_1(k1_nat_1(F,1),1)) = k8_dickson(A,B,o_5_3_dickson(A,B,C,F,J),k8_nat_1(k4_ordinal1,C,k1_nat_1(F,1))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ? [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) & ? [L] : ( ~ v1_xboole_0(L) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) & K = a_4_9_dickson(A,B,C,F) & ~ v1_finset_1(a_4_8_dickson(A,B,C,F)) & L = o_2_8_dickson(A,K) & k8_nat_1(k4_ordinal1,C,k1_nat_1(F,1)) = k8_dickson(A,B,o_5_0_dickson(A,B,C,F,L),k8_nat_1(k4_ordinal1,C,F)) ) ) ) ) ) )).
fof(s2_nat_1__e28_72__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m2_finseq_1(C,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k7_real_ns1(A)))) & m1_subset_1(E,u1_struct_0(k7_real_ns1(A))) & m2_rlvect_2(F,k7_real_ns1(A),D) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_real_ns1(A))))) ) => ( ( ( ( r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(A),E,k8_nat_1(u1_struct_0(k7_real_ns1(A)),G,k5_numbers)) = k1_binop_1(k6_real_ns1(A),E,k1_rlvect_1(k7_real_ns1(A),E,k3_funct_2(u1_struct_0(k7_real_ns1(A)),k1_numbers,F,k7_partfun1(u1_struct_0(k7_real_ns1(A)),C,B)))) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(B,H) & r1_xxreal_0(H,k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(A),E,k8_nat_1(u1_struct_0(k7_real_ns1(A)),G,H)) = k1_binop_1(k6_real_ns1(A),E,k1_rlvect_1(k7_real_ns1(A),E,k3_funct_2(u1_struct_0(k7_real_ns1(A)),k1_numbers,F,k7_partfun1(u1_struct_0(k7_real_ns1(A)),C,B)))) ) => ( ( r1_xxreal_0(B,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(A),E,k8_nat_1(u1_struct_0(k7_real_ns1(A)),G,k1_nat_1(H,1))) = k1_binop_1(k6_real_ns1(A),E,k1_rlvect_1(k7_real_ns1(A),E,k3_funct_2(u1_struct_0(k7_real_ns1(A)),k1_numbers,F,k7_partfun1(u1_struct_0(k7_real_ns1(A)),C,B)))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(B,H) & r1_xxreal_0(H,k3_finseq_1(C)) ) => k1_binop_1(k6_real_ns1(A),E,k8_nat_1(u1_struct_0(k7_real_ns1(A)),G,H)) = k1_binop_1(k6_real_ns1(A),E,k1_rlvect_1(k7_real_ns1(A),E,k3_funct_2(u1_struct_0(k7_real_ns1(A)),k1_numbers,F,k7_partfun1(u1_struct_0(k7_real_ns1(A)),C,B)))) ) ) ) ) )).
fof(s2_nat_1__e29_18_1_1_4__boolmark,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,k1_boolmark(A)) & m2_finseq_1(D,k1_boolmark(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,k5_numbers)) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,E)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(E,1)),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,k1_nat_1(E,1))) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(1,E),k3_finseq_1(B)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,E)) = k7_partfun1(k1_boolmark(A),C,k2_xcmplx_0(1,E)) ) ) ) ) )).
fof(s2_nat_1__e2_14_1_1_3_1__measure4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( r1_tarski(k8_nat_1(k9_setfam_1(A),B,k5_numbers),k8_nat_1(k9_setfam_1(A),C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k8_nat_1(k9_setfam_1(A),B,D),k8_nat_1(k9_setfam_1(A),C,D)) => r1_tarski(k8_nat_1(k9_setfam_1(A),B,k1_nat_1(D,1)),k8_nat_1(k9_setfam_1(A),C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(A),B,D),k8_nat_1(k9_setfam_1(A),C,D)) ) ) ) )).
fof(s2_nat_1__e2_19_2__finance2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( ( r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),k5_numbers),k12_prob_1) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),B),k12_prob_1) => r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),k1_nat_1(B,1)),k12_prob_1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),B),k12_prob_1) ) ) ) )).
fof(s2_nat_1__e2_32_1_1_1_2_1_1_1_2_1_1_2__finance2,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,k1_numbers) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k1_nat_1(C,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e2_34__rfinseq,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ~ ( k5_numbers = k3_finseq_1(A) & ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ~ r2_classes1(A,B) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_numbers) => ~ ( C = k3_finseq_1(D) & ! [E] : ( ( v8_valued_0(E) & m2_finseq_1(E,k1_numbers) ) => ~ r2_classes1(D,E) ) ) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( k1_nat_1(C,1) = k3_finseq_1(F) & ! [G] : ( ( v8_valued_0(G) & m2_finseq_1(G,k1_numbers) ) => ~ r2_classes1(F,G) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ~ ( C = k3_finseq_1(H) & ! [I] : ( ( v8_valued_0(I) & m2_finseq_1(I,k1_numbers) ) => ~ r2_classes1(H,I) ) ) ) ) )).
fof(s2_nat_1__e2_8__rfinseq,axiom,( ( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( k4_card_1(k9_xtuple_0(k5_relat_1(B,A))) = k5_numbers & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ r2_classes1(k5_relat_1(B,A),C) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_finset_1(E) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ~ ( k4_card_1(k9_xtuple_0(k5_relat_1(F,E))) = D & ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ~ r2_classes1(k5_relat_1(F,E),G) ) ) ) ) => ! [H] : ( v1_finset_1(H) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ~ ( k4_card_1(k9_xtuple_0(k5_relat_1(I,H))) = k1_nat_1(D,1) & ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) ) => ~ r2_classes1(k5_relat_1(I,H),J) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( v1_finset_1(K) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) ) => ~ ( k4_card_1(k9_xtuple_0(k5_relat_1(L,K))) = D & ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) ) => ~ r2_classes1(k5_relat_1(L,K),M) ) ) ) ) ) )).
fof(s2_nat_1__e30_19_1_1_2_1_2__matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & m1_matrix_1(D,k9_matrix_1(B)) ) => ( ( ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ~ ( k3_finseq_1(E) = k1_nat_1(k5_numbers,1) & k1_funct_1(E,1) = k1_funct_1(k10_matrix_3(B,A,C,D),1) & ! [F] : ( v7_ordinal1(F) => ~ ( k5_numbers != F & ~ r1_xxreal_0(k1_nat_1(k5_numbers,1),F) & ~ r1_xxreal_0(B,F) & k1_funct_1(E,k1_nat_1(F,1)) != k1_binop_1(u2_algstr_0(A),k1_funct_1(E,F),k1_funct_1(k10_matrix_3(B,A,C,D),k1_nat_1(F,1))) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( ~ r1_xxreal_0(B,G) & ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ~ ( k3_finseq_1(H) = k1_nat_1(G,1) & k1_funct_1(H,1) = k1_funct_1(k10_matrix_3(B,A,C,D),1) & ! [I] : ( v7_ordinal1(I) => ~ ( k5_numbers != I & ~ r1_xxreal_0(k1_nat_1(G,1),I) & ~ r1_xxreal_0(B,I) & k1_funct_1(H,k1_nat_1(I,1)) != k1_binop_1(u2_algstr_0(A),k1_funct_1(H,I),k1_funct_1(k10_matrix_3(B,A,C,D),k1_nat_1(I,1))) ) ) ) ) ) => ~ ( ~ r1_xxreal_0(B,k1_nat_1(G,1)) & ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ~ ( k3_finseq_1(J) = k1_nat_1(k1_nat_1(G,1),1) & k1_funct_1(J,1) = k1_funct_1(k10_matrix_3(B,A,C,D),1) & ! [K] : ( v7_ordinal1(K) => ~ ( k5_numbers != K & ~ r1_xxreal_0(k1_nat_1(k1_nat_1(G,1),1),K) & ~ r1_xxreal_0(B,K) & k1_funct_1(J,k1_nat_1(K,1)) != k1_binop_1(u2_algstr_0(A),k1_funct_1(J,K),k1_funct_1(k10_matrix_3(B,A,C,D),k1_nat_1(K,1))) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( ~ r1_xxreal_0(B,G) & ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ~ ( k3_finseq_1(L) = k1_nat_1(G,1) & k1_funct_1(L,1) = k1_funct_1(k10_matrix_3(B,A,C,D),1) & ! [M] : ( v7_ordinal1(M) => ~ ( k5_numbers != M & ~ r1_xxreal_0(k1_nat_1(G,1),M) & ~ r1_xxreal_0(B,M) & k1_funct_1(L,k1_nat_1(M,1)) != k1_binop_1(u2_algstr_0(A),k1_funct_1(L,M),k1_funct_1(k10_matrix_3(B,A,C,D),k1_nat_1(M,1))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e30_46__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k4_ordinal1) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(E,k5_numbers) & r1_xxreal_0(k5_numbers,A) ) => ! [I] : ( v7_ordinal1(I) => ( k5_numbers = I => k8_nat_1(u1_struct_0(B),F,I) = k3_rlvect_1(B,k8_group_1(B,C,k8_nat_1(u1_struct_0(B),H,I)),k8_group_1(B,D,k8_nat_1(u1_struct_0(B),G,I))) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ( ( r1_xxreal_0(1,J) & r1_xxreal_0(E,J) & r1_xxreal_0(J,A) ) => ! [K] : ( v7_ordinal1(K) => ( J = K => k8_nat_1(u1_struct_0(B),F,K) = k3_rlvect_1(B,k8_group_1(B,C,k8_nat_1(u1_struct_0(B),H,K)),k8_group_1(B,D,k8_nat_1(u1_struct_0(B),G,K))) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(J,1)) & r1_xxreal_0(E,k1_nat_1(J,1)) & r1_xxreal_0(k1_nat_1(J,1),A) ) => ! [L] : ( v7_ordinal1(L) => ( k1_nat_1(J,1) = L => k8_nat_1(u1_struct_0(B),F,L) = k3_rlvect_1(B,k8_group_1(B,C,k8_nat_1(u1_struct_0(B),H,L)),k8_group_1(B,D,k8_nat_1(u1_struct_0(B),G,L))) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(E,J) & r1_xxreal_0(J,A) ) => ! [M] : ( v7_ordinal1(M) => ( J = M => k8_nat_1(u1_struct_0(B),F,M) = k3_rlvect_1(B,k8_group_1(B,C,k8_nat_1(u1_struct_0(B),H,M)),k8_group_1(B,D,k8_nat_1(u1_struct_0(B),G,M))) ) ) ) ) ) ) )).
fof(s2_nat_1__e30_78__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(B))))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,A) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(B)) => ( G = k8_finseq_2(u1_struct_0(B),k3_finseq_2(u1_struct_0(B)),F,k5_numbers) => ( k3_finseq_1(G) = A & k8_nat_1(u1_struct_0(B),E,k5_numbers) = k12_matrix_3(A,B,k3_matrix11(D,A,A,u1_struct_0(B),C,G)) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,A) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ( I = k8_finseq_2(u1_struct_0(B),k3_finseq_2(u1_struct_0(B)),F,H) => ( k3_finseq_1(I) = A & k8_nat_1(u1_struct_0(B),E,H) = k12_matrix_3(A,B,k3_matrix11(D,A,A,u1_struct_0(B),C,I)) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),A) ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(B)) => ( J = k8_finseq_2(u1_struct_0(B),k3_finseq_2(u1_struct_0(B)),F,k1_nat_1(H,1)) => ( k3_finseq_1(J) = A & k8_nat_1(u1_struct_0(B),E,k1_nat_1(H,1)) = k12_matrix_3(A,B,k3_matrix11(D,A,A,u1_struct_0(B),C,J)) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,A) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(B)) => ( K = k8_finseq_2(u1_struct_0(B),k3_finseq_2(u1_struct_0(B)),F,H) => ( k3_finseq_1(K) = A & k8_nat_1(u1_struct_0(B),E,H) = k12_matrix_3(A,B,k3_matrix11(D,A,A,u1_struct_0(B),C,K)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e31_17_1_1_4__boolmark,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,u4_struct_0(A)) & m2_finseq_1(D,k1_boolmark(A)) & m2_finseq_1(E,k1_boolmark(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k5_numbers)) = k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(1,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(1,F)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(F,1)),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k1_nat_1(F,1))) = k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(1,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(1,F)) ) ) ) ) )).
fof(s2_nat_1__e31_35_4__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(D) & v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),k5_topmetr)),u1_struct_0(k2_topalg_2)))) & ~ v1_xboole_0(G) & m2_finseq_1(G,k1_numbers) ) => ( ( ~ ( r2_tarski(k5_numbers,k4_finseq_1(G)) & ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( H = k1_rcomp_1(k5_numbers,k1_funct_1(G,k5_numbers)) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),H)) = k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),k5_topmetr)),u1_struct_0(k2_topalg_2),F,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),H)) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ~ ( r2_tarski(I,k4_finseq_1(G)) & ! [J] : ( ( ~ v1_xboole_0(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( J = k1_rcomp_1(k5_numbers,k1_funct_1(G,I)) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),J)) = k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),k5_topmetr)),u1_struct_0(k2_topalg_2),F,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),J)) ) ) ) => ~ ( r2_tarski(k1_nat_1(I,1),k4_finseq_1(G)) & ! [K] : ( ( ~ v1_xboole_0(K) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( K = k1_rcomp_1(k5_numbers,k1_funct_1(G,k1_nat_1(I,1))) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),K)) = k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),k5_topmetr)),u1_struct_0(k2_topalg_2),F,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),K)) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(G)) & ! [L] : ( ( ~ v1_xboole_0(L) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( L = k1_rcomp_1(k5_numbers,k1_funct_1(G,I)) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),L)) = k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),k5_topmetr)),u1_struct_0(k2_topalg_2),F,k3_borsuk_1(A,k5_topmetr,k6_domain_1(u1_struct_0(A),B),L)) ) ) ) ) ) ) )).
fof(s2_nat_1__e31_39_1_1_4__petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,u4_struct_0(A)) & m2_finseq_1(D,k4_petri_df(A)) & m2_finseq_1(E,k4_petri_df(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k5_numbers)) = k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,F)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(F,1)),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k1_nat_1(F,1))) = k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k4_petri_df(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k4_petri_df(A),D,k2_xcmplx_0(1,F)) ) ) ) ) )).
fof(s2_nat_1__e33_37__goedelcp,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))))) ) => ( ( v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),A) => v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_henmodel(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),A) ) ) ) )).
fof(s2_nat_1__e33_66_1__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( ( ~ r1_xxreal_0(k1_nat_1(B,1),k5_numbers) => k8_nat_1(A,C,k5_numbers) = k8_nat_1(A,D,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(k1_nat_1(B,1),E) => k8_nat_1(A,C,E) = k8_nat_1(A,D,E) ) => ( ~ r1_xxreal_0(k1_nat_1(B,1),k1_nat_1(E,1)) => k8_nat_1(A,C,k1_nat_1(E,1)) = k8_nat_1(A,D,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_nat_1(B,1),E) => k8_nat_1(A,C,E) = k8_nat_1(A,D,E) ) ) ) ) )).
fof(s2_nat_1__e34_14_1_1__measure4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_measure4(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k12_supinf_2(B,k4_subset_1(A,C,k8_nat_1(k9_setfam_1(A),E,k5_numbers))) = k3_supinf_2(k12_supinf_2(B,C),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,B)),k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( k12_supinf_2(B,k4_subset_1(A,C,k8_nat_1(k9_setfam_1(A),E,F))) = k3_supinf_2(k12_supinf_2(B,C),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,B)),F)) => k12_supinf_2(B,k4_subset_1(A,C,k8_nat_1(k9_setfam_1(A),E,k1_nat_1(F,1)))) = k3_supinf_2(k12_supinf_2(B,C),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,B)),k1_nat_1(F,1))) ) ) ) => ! [F] : ( v7_ordinal1(F) => k12_supinf_2(B,k4_subset_1(A,C,k8_nat_1(k9_setfam_1(A),E,F))) = k3_supinf_2(k12_supinf_2(B,C),k12_supinf_2(k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,B)),F)) ) ) ) )).
fof(s2_nat_1__e35_18_1_1_4__boolmark,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) & m2_finseq_1(B,u4_struct_0(A)) & m2_finseq_1(C,u4_struct_0(A)) & m2_finseq_1(D,k1_boolmark(A)) & m2_finseq_1(E,k1_boolmark(A)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(1,k5_numbers),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k5_numbers)) = k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,F)) ) => ( r1_xxreal_0(k2_xcmplx_0(1,k1_nat_1(F,1)),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),k1_nat_1(F,1))) = k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k2_xcmplx_0(1,F),k3_finseq_1(C)) => k7_partfun1(k1_boolmark(A),E,k2_xcmplx_0(k1_nat_1(k3_finseq_1(B),1),F)) = k7_partfun1(k1_boolmark(A),D,k2_xcmplx_0(1,F)) ) ) ) ) )).
fof(s2_nat_1__e35_5_1__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) & m2_finseq_1(F,k4_ordinal1) & m2_finseq_1(G,k13_finseq_1(u4_struct_0(k4_msscyc_2(A)))) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,D) & ! [H] : ( ( v7_graph_1(H,k4_msscyc_2(A)) & m1_graph_1(H,k4_msscyc_2(A)) ) => ! [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( H = k1_funct_1(G,k5_numbers) & k3_finseq_1(H) = k5_numbers & I = k5_trees_2(E,k17_finseq_1(k4_ordinal1,k5_numbers,F)) & k1_funct_1(k7_graph_2(k4_msscyc_2(A),H),k1_nat_1(k3_finseq_1(H),1)) = C & k1_funct_1(k7_graph_2(k4_msscyc_2(A),H),1) = k7_msaterm(A,B,I) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ~ ( r1_xxreal_0(1,J) & r1_xxreal_0(J,D) & ! [K] : ( ( v7_graph_1(K,k4_msscyc_2(A)) & m1_graph_1(K,k4_msscyc_2(A)) ) => ! [L] : ( m1_dtconstr(L,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( K = k1_funct_1(G,J) & k3_finseq_1(K) = J & L = k5_trees_2(E,k17_finseq_1(k4_ordinal1,J,F)) & k1_funct_1(k7_graph_2(k4_msscyc_2(A),K),k1_nat_1(k3_finseq_1(K),1)) = C & k1_funct_1(k7_graph_2(k4_msscyc_2(A),K),1) = k7_msaterm(A,B,L) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(J,1)) & r1_xxreal_0(k1_nat_1(J,1),D) & ! [M] : ( ( v7_graph_1(M,k4_msscyc_2(A)) & m1_graph_1(M,k4_msscyc_2(A)) ) => ! [N] : ( m1_dtconstr(N,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( M = k1_funct_1(G,k1_nat_1(J,1)) & k3_finseq_1(M) = k1_nat_1(J,1) & N = k5_trees_2(E,k17_finseq_1(k4_ordinal1,k1_nat_1(J,1),F)) & k1_funct_1(k7_graph_2(k4_msscyc_2(A),M),k1_nat_1(k3_finseq_1(M),1)) = C & k1_funct_1(k7_graph_2(k4_msscyc_2(A),M),1) = k7_msaterm(A,B,N) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(1,J) & r1_xxreal_0(J,D) & ! [O] : ( ( v7_graph_1(O,k4_msscyc_2(A)) & m1_graph_1(O,k4_msscyc_2(A)) ) => ! [P] : ( m1_dtconstr(P,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( O = k1_funct_1(G,J) & k3_finseq_1(O) = J & P = k5_trees_2(E,k17_finseq_1(k4_ordinal1,J,F)) & k1_funct_1(k7_graph_2(k4_msscyc_2(A),O),k1_nat_1(k3_finseq_1(O),1)) = C & k1_funct_1(k7_graph_2(k4_msscyc_2(A),O),1) = k7_msaterm(A,B,P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e36_68__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_finset_1(C) & v1_finset_1(D) & v1_funct_1(E) & v1_funct_2(E,D,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,C))) & m1_subset_1(F,k5_finsub_1(k9_matrix_1(A))) & v1_funct_1(G) & v1_funct_2(G,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) & v1_funct_1(H) & v1_funct_2(H,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) ) => ( ( ! [I] : ( m1_subset_1(I,k5_finsub_1(k9_matrix_1(A))) => ! [J] : ( m1_subset_1(J,k5_finsub_1(k9_matrix_1(A))) => ( ( k4_card_1(I) = k5_numbers & r1_tarski(I,F) & k7_relat_1(E,I) = J ) => k3_rlvect_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,I),k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),H,J)) = k4_struct_0(B) ) ) ) & ! [K] : ( v7_ordinal1(K) => ( ! [L] : ( m1_subset_1(L,k5_finsub_1(k9_matrix_1(A))) => ! [M] : ( m1_subset_1(M,k5_finsub_1(k9_matrix_1(A))) => ( ( k4_card_1(L) = K & r1_tarski(L,F) & k7_relat_1(E,L) = M ) => k3_rlvect_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,L),k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),H,M)) = k4_struct_0(B) ) ) ) => ! [N] : ( m1_subset_1(N,k5_finsub_1(k9_matrix_1(A))) => ! [O] : ( m1_subset_1(O,k5_finsub_1(k9_matrix_1(A))) => ( ( k4_card_1(N) = k1_nat_1(K,1) & r1_tarski(N,F) & k7_relat_1(E,N) = O ) => k3_rlvect_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,N),k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),H,O)) = k4_struct_0(B) ) ) ) ) ) ) => ! [K] : ( v7_ordinal1(K) => ! [P] : ( m1_subset_1(P,k5_finsub_1(k9_matrix_1(A))) => ! [Q] : ( m1_subset_1(Q,k5_finsub_1(k9_matrix_1(A))) => ( ( k4_card_1(P) = K & r1_tarski(P,F) & k7_relat_1(E,P) = Q ) => k3_rlvect_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),G,P),k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),H,Q)) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(s2_nat_1__e38_14_1_1__measure4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( r1_tarski(k8_nat_1(k9_setfam_1(A),C,k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k8_nat_1(k9_setfam_1(A),C,D),B) => r1_tarski(k8_nat_1(k9_setfam_1(A),C,k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(A),C,D),B) ) ) ) )).
fof(s2_nat_1__e39_26_1_2__tietze,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(u1_struct_0(A),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(A),k1_numbers)))) ) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k5_numbers)) & v1_funct_2(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k5_numbers),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k5_numbers),A,k3_topmetr) & m1_subset_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & r1_tietze(k47_valued_1(u1_struct_0(A),k1_numbers,k1_numbers,k1_seqfunc(u1_struct_0(A),k1_numbers,E,k5_numbers),k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(k5_numbers,1))),k3_xcmplx_0(k7_xcmplx_0(2,9),k2_power(k7_xcmplx_0(2,3),k5_numbers)),u1_struct_0(A)) & r1_tietze(k45_valued_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k5_numbers),C),k3_xcmplx_0(k7_xcmplx_0(2,3),k2_power(k7_xcmplx_0(2,3),k5_numbers)),D) & ! [F] : ( v7_ordinal1(F) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F)) & v1_funct_2(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),A,k3_topmetr) & m1_subset_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & r1_tietze(k47_valued_1(u1_struct_0(A),k1_numbers,k1_numbers,k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1))),k3_xcmplx_0(k7_xcmplx_0(2,9),k2_power(k7_xcmplx_0(2,3),F)),u1_struct_0(A)) & r1_tietze(k45_valued_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),C),k3_xcmplx_0(k7_xcmplx_0(2,3),k2_power(k7_xcmplx_0(2,3),F)),D) ) => ( v1_funct_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1))) & v1_funct_2(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1)),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1)),A,k3_topmetr) & m1_subset_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & r1_tietze(k47_valued_1(u1_struct_0(A),k1_numbers,k1_numbers,k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1)),k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(k1_nat_1(F,1),1))),k3_xcmplx_0(k7_xcmplx_0(2,9),k2_power(k7_xcmplx_0(2,3),k1_nat_1(F,1))),u1_struct_0(A)) & r1_tietze(k45_valued_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1)),C),k3_xcmplx_0(k7_xcmplx_0(2,3),k2_power(k7_xcmplx_0(2,3),k1_nat_1(F,1))),D) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( v1_funct_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F)) & v1_funct_2(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),A,k3_topmetr) & m1_subset_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & r1_tietze(k47_valued_1(u1_struct_0(A),k1_numbers,k1_numbers,k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),k1_seqfunc(u1_struct_0(A),k1_numbers,E,k1_nat_1(F,1))),k3_xcmplx_0(k7_xcmplx_0(2,9),k2_power(k7_xcmplx_0(2,3),F)),u1_struct_0(A)) & r1_tietze(k45_valued_1(k1_seqfunc(u1_struct_0(A),k1_numbers,E,F),C),k3_xcmplx_0(k7_xcmplx_0(2,3),k2_power(k7_xcmplx_0(2,3),F)),D) ) ) ) ) )).
fof(s2_nat_1__e39_35_2__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m2_finseq_1(B,k1_numbers) & ~ v1_xboole_0(C) & v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2)))) ) => ( ( ~ ( r2_tarski(k5_numbers,k4_finseq_1(B)) & ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( F = k1_rcomp_1(k5_numbers,k1_funct_1(B,k5_numbers)) & r2_relset_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),D,k3_borsuk_1(A,k5_topmetr,C,F)),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,C,F))) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r2_tarski(G,k4_finseq_1(B)) & ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( H = k1_rcomp_1(k5_numbers,k1_funct_1(B,G)) & r2_relset_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),D,k3_borsuk_1(A,k5_topmetr,C,H)),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,C,H))) ) ) ) => ~ ( r2_tarski(k1_nat_1(G,1),k4_finseq_1(B)) & ! [I] : ( ( ~ v1_xboole_0(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( I = k1_rcomp_1(k5_numbers,k1_funct_1(B,k1_nat_1(G,1))) & r2_relset_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),D,k3_borsuk_1(A,k5_topmetr,C,I)),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,C,I))) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(B)) & ! [J] : ( ( ~ v1_xboole_0(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ~ ( J = k1_rcomp_1(k5_numbers,k1_funct_1(B,G)) & r2_relset_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),D,k3_borsuk_1(A,k5_topmetr,C,J)),k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,C),k5_topmetr)),u1_struct_0(k2_topalg_2),E,k3_borsuk_1(A,k5_topmetr,C,J))) ) ) ) ) ) ) )).
fof(s2_nat_1__e39_47_2_1__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & v7_ordinal1(C) ) => ( ( ( r1_xxreal_0(1,k1_nat_1(k5_numbers,1)) => ( r1_xxreal_0(C,k1_nat_1(k5_numbers,1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k5_numbers,1)) = k5_euclid(A) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) => ( r1_xxreal_0(C,k1_nat_1(D,1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(D,1)) = k5_euclid(A) ) ) => ( r1_xxreal_0(1,k1_nat_1(k1_nat_1(D,1),1)) => ( r1_xxreal_0(C,k1_nat_1(k1_nat_1(D,1),1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k1_nat_1(D,1),1)) = k5_euclid(A) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,k1_nat_1(D,1)) => ( r1_xxreal_0(C,k1_nat_1(D,1)) | k1_funct_1(k4_euclid_7(A,B),k1_nat_1(D,1)) = k5_euclid(A) ) ) ) ) ) )).
fof(s2_nat_1__e39_58_1__compl_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v2_relat_1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v1_compl_sp(D,A) & v7_compl_sp(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,C,B),k5_numbers),k8_nat_1(k1_numbers,k1_compl_sp(A,D),k5_numbers)) & r1_xxreal_0(k8_nat_1(k1_numbers,k1_compl_sp(A,D),k5_numbers),k8_nat_1(k1_numbers,C,k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,C,B),E),k8_nat_1(k1_numbers,k1_compl_sp(A,D),E)) & r1_xxreal_0(k8_nat_1(k1_numbers,k1_compl_sp(A,D),E),k8_nat_1(k1_numbers,C,E)) ) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,C,B),k1_nat_1(E,1)),k8_nat_1(k1_numbers,k1_compl_sp(A,D),k1_nat_1(E,1))) & r1_xxreal_0(k8_nat_1(k1_numbers,k1_compl_sp(A,D),k1_nat_1(E,1)),k8_nat_1(k1_numbers,C,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,C,B),E),k8_nat_1(k1_numbers,k1_compl_sp(A,D),E)) & r1_xxreal_0(k8_nat_1(k1_numbers,k1_compl_sp(A,D),E),k8_nat_1(k1_numbers,C,E)) ) ) ) ) )).
fof(s2_nat_1__e39_5__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v7_ordinal1(C) & v7_graph_1(D,k4_msscyc_2(A)) & m1_graph_1(D,k4_msscyc_2(A)) & m2_finseq_1(E,k1_msaterm(A,B)) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,C) & ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ~ ( F = k1_funct_1(E,k5_numbers) & G = k1_xtuple_0(k1_funct_1(D,k5_numbers)) & k7_msaterm(A,B,F) = k2_msualg_1(A,G) & k6_trees_1(k9_xtuple_0(F)) = k5_numbers ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ~ ( r1_xxreal_0(1,H) & r1_xxreal_0(H,C) & ! [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [J] : ( m1_subset_1(J,u4_struct_0(A)) => ~ ( I = k1_funct_1(E,H) & J = k1_xtuple_0(k1_funct_1(D,H)) & k7_msaterm(A,B,I) = k2_msualg_1(A,J) & k6_trees_1(k9_xtuple_0(I)) = H ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),C) & ! [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [L] : ( m1_subset_1(L,u4_struct_0(A)) => ~ ( K = k1_funct_1(E,k1_nat_1(H,1)) & L = k1_xtuple_0(k1_funct_1(D,k1_nat_1(H,1))) & k7_msaterm(A,B,K) = k2_msualg_1(A,L) & k6_trees_1(k9_xtuple_0(K)) = k1_nat_1(H,1) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & r1_xxreal_0(H,C) & ! [M] : ( m1_dtconstr(M,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [N] : ( m1_subset_1(N,u4_struct_0(A)) => ~ ( M = k1_funct_1(E,H) & N = k1_xtuple_0(k1_funct_1(D,H)) & k7_msaterm(A,B,M) = k2_msualg_1(A,N) & k6_trees_1(k9_xtuple_0(M)) = H ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_100__asympt_1,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k7_newton(A),k7_newton(k5_numbers)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(C,B) => r1_xxreal_0(k7_newton(C),k7_newton(B)) ) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,k1_nat_1(B,1)) => r1_xxreal_0(k7_newton(D),k7_newton(k1_nat_1(B,1))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,B) => r1_xxreal_0(k7_newton(E),k7_newton(B)) ) ) ) )).
fof(s2_nat_1__e3_100__dilworth,axiom,( ( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v3_dilworth(A) & l1_orders_2(A) ) => ~ ( k1_dilworth(A) = k5_numbers & ! [B] : ( ( v6_dilworth(B,A) & m1_eqrel_1(B,u1_struct_0(A)) ) => k1_card_1(B) != k1_dilworth(A) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v4_orders_2(D) & v5_orders_2(D) & v3_dilworth(D) & l1_orders_2(D) ) => ~ ( k1_dilworth(D) = C & ! [E] : ( ( v6_dilworth(E,D) & m1_eqrel_1(E,u1_struct_0(D)) ) => k1_card_1(E) != k1_dilworth(D) ) ) ) => ! [F] : ( ( v4_orders_2(F) & v5_orders_2(F) & v3_dilworth(F) & l1_orders_2(F) ) => ~ ( k1_dilworth(F) = k1_nat_1(C,1) & ! [G] : ( ( v6_dilworth(G,F) & m1_eqrel_1(G,u1_struct_0(F)) ) => k1_card_1(G) != k1_dilworth(F) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v4_orders_2(H) & v5_orders_2(H) & v3_dilworth(H) & l1_orders_2(H) ) => ~ ( k1_dilworth(H) = C & ! [I] : ( ( v6_dilworth(I,H) & m1_eqrel_1(I,u1_struct_0(H)) ) => k1_card_1(I) != k1_dilworth(H) ) ) ) ) )).
fof(s2_nat_1__e3_100__modelc_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) ) => ( ( ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & r5_modelc_2(A,B,C,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & r5_modelc_2(A,B,E,D) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & r5_modelc_2(A,B,F,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & r5_modelc_2(A,B,G,D) ) ) ) ) )).
fof(s2_nat_1__e3_101_1__comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & m2_finseq_2(B,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) & m1_subset_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)))) & v7_ordinal1(E) ) => ( ( r1_tarski(k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E))),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,k5_numbers))))) & ! [F] : ( v7_ordinal1(F) => ( r1_tarski(k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E))),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,F))))) => r1_tarski(k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E))),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,k1_nat_1(F,1)))))) ) ) ) => ! [F] : ( v7_ordinal1(F) => r1_tarski(k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E))),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,F))))) ) ) ) )).
fof(s2_nat_1__e3_101__zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ( ( ! [B] : ( ( v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) ) => ! [C] : ( ( v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ~ ( k1_zmodul03(k7_zmodul01(A,B,C)) = k1_zmodul03(B) & k1_zmodul03(B) = k5_numbers & ! [D] : ( v1_int_1(D) => ~ m1_zmodul01(k5_zmodul02(B,D),C) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_zmodul03(F) & v2_zmodul03(F) & m1_zmodul01(F,A) ) => ! [G] : ( ( v1_zmodul03(G) & v2_zmodul03(G) & m1_zmodul01(G,A) ) => ~ ( k1_zmodul03(k7_zmodul01(A,F,G)) = k1_zmodul03(F) & k1_zmodul03(F) = E & ! [H] : ( v1_int_1(H) => ~ m1_zmodul01(k5_zmodul02(F,H),G) ) ) ) ) => ! [I] : ( ( v1_zmodul03(I) & v2_zmodul03(I) & m1_zmodul01(I,A) ) => ! [J] : ( ( v1_zmodul03(J) & v2_zmodul03(J) & m1_zmodul01(J,A) ) => ~ ( k1_zmodul03(k7_zmodul01(A,I,J)) = k1_zmodul03(I) & k1_zmodul03(I) = k1_nat_1(E,1) & ! [K] : ( v1_int_1(K) => ~ m1_zmodul01(k5_zmodul02(I,K),J) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_zmodul03(L) & v2_zmodul03(L) & m1_zmodul01(L,A) ) => ! [M] : ( ( v1_zmodul03(M) & v2_zmodul03(M) & m1_zmodul01(M,A) ) => ~ ( k1_zmodul03(k7_zmodul01(A,L,M)) = k1_zmodul03(L) & k1_zmodul03(L) = E & ! [N] : ( v1_int_1(N) => ~ m1_zmodul01(k5_zmodul02(L,N),M) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_102_1__comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & m2_finseq_2(B,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) & m1_subset_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1),k2_comput_1(k4_ordinal1)))) & v7_ordinal1(E) ) => ( ( ~ ( ~ r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E)))) & r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,k5_numbers))))) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( ~ r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E)))) & r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,F))))) ) => ~ ( ~ r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E)))) & r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,k1_nat_1(F,1)))))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,E)))) & r2_tarski(k1_funct_7(B,C,E),k9_xtuple_0(k1_funct_1(D,k1_funct_7(B,C,k2_xcmplx_0(E,F))))) ) ) ) ) )).
fof(s2_nat_1__e3_102__afinsq_1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( k1_afinsq_1(A) = k5_numbers & k1_afinsq_1(A) = k2_xcmplx_0(B,C) & ! [D] : ( ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ~ ( k1_afinsq_1(D) = B & k1_afinsq_1(E) = C & A = k1_ordinal4(D,E) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_relat_1(G) & v5_ordinal1(G) & v1_funct_1(G) & v1_finset_1(G) ) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( k1_afinsq_1(G) = F & k1_afinsq_1(G) = k2_xcmplx_0(H,I) & ! [J] : ( ( v1_relat_1(J) & v5_ordinal1(J) & v1_funct_1(J) & v1_finset_1(J) ) => ! [K] : ( ( v1_relat_1(K) & v5_ordinal1(K) & v1_funct_1(K) & v1_finset_1(K) ) => ~ ( k1_afinsq_1(J) = H & k1_afinsq_1(K) = I & G = k1_ordinal4(J,K) ) ) ) ) ) ) ) => ! [L] : ( ( v1_relat_1(L) & v5_ordinal1(L) & v1_funct_1(L) & v1_finset_1(L) ) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ~ ( k1_afinsq_1(L) = k1_nat_1(F,1) & k1_afinsq_1(L) = k2_xcmplx_0(M,N) & ! [O] : ( ( v1_relat_1(O) & v5_ordinal1(O) & v1_funct_1(O) & v1_finset_1(O) ) => ! [P] : ( ( v1_relat_1(P) & v5_ordinal1(P) & v1_funct_1(P) & v1_finset_1(P) ) => ~ ( k1_afinsq_1(O) = M & k1_afinsq_1(P) = N & L = k1_ordinal4(O,P) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( v1_relat_1(Q) & v5_ordinal1(Q) & v1_funct_1(Q) & v1_finset_1(Q) ) => ! [R] : ( v7_ordinal1(R) => ! [S] : ( v7_ordinal1(S) => ~ ( k1_afinsq_1(Q) = F & k1_afinsq_1(Q) = k2_xcmplx_0(R,S) & ! [T] : ( ( v1_relat_1(T) & v5_ordinal1(T) & v1_funct_1(T) & v1_finset_1(T) ) => ! [U] : ( ( v1_relat_1(U) & v5_ordinal1(U) & v1_funct_1(U) & v1_finset_1(U) ) => ~ ( k1_afinsq_1(T) = R & k1_afinsq_1(U) = S & Q = k1_ordinal4(T,U) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_104__fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( r1_tarski(k8_funct_7(A,k2_xcmplx_0(k5_numbers,1)),k18_finseq_1(A)) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k8_funct_7(A,k2_xcmplx_0(B,1)),k18_finseq_1(A)) => r1_tarski(k8_funct_7(A,k2_xcmplx_0(k1_nat_1(B,1),1)),k18_finseq_1(A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k8_funct_7(A,k2_xcmplx_0(B,1)),k18_finseq_1(A)) ) ) ) )).
fof(s2_nat_1__e3_104__modelc_3,axiom,( ( ! [A] : ~ ( A != k1_xboole_0 & r1_tarski(A,k2_finseq_1(k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k5_numbers) & r2_tarski(B,A) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(B,C) & r2_tarski(C,A) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ~ ( E != k1_xboole_0 & r1_tarski(E,k2_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,D) & r2_tarski(F,E) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & ~ r1_xxreal_0(F,G) & r2_tarski(G,E) ) ) ) ) ) => ! [H] : ~ ( H != k1_xboole_0 & r1_tarski(H,k2_finseq_1(k1_nat_1(D,1))) & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k1_nat_1(D,1)) & r2_tarski(I,H) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(1,J) & ~ r1_xxreal_0(I,J) & r2_tarski(J,H) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ~ ( K != k1_xboole_0 & r1_tarski(K,k2_finseq_1(D)) & ! [L] : ( v7_ordinal1(L) => ~ ( r1_xxreal_0(1,L) & r1_xxreal_0(L,D) & r2_tarski(L,K) & ! [M] : ( v7_ordinal1(M) => ~ ( r1_xxreal_0(1,M) & ~ r1_xxreal_0(L,M) & r2_tarski(M,K) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_105__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ( ( ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(A,D),k5_numbers) => ? [E] : ( v4_fomodel2(E,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & k29_fomodel2(A,E) = k29_fomodel2(A,D) & k3_funct_2(k3_finseq_2(k15_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),D) = E ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v4_fomodel2(G,A) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(A,G),F) => ? [H] : ( v4_fomodel2(H,A) & m2_subset_1(H,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & k29_fomodel2(A,H) = k29_fomodel2(A,G) & k3_funct_2(k3_finseq_2(k15_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),G) = H ) ) ) => ! [I] : ( ( v4_fomodel2(I,A) & m2_subset_1(I,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(A,I),k1_nat_1(F,1)) => ? [J] : ( v4_fomodel2(J,A) & m2_subset_1(J,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & k29_fomodel2(A,J) = k29_fomodel2(A,I) & k3_funct_2(k3_finseq_2(k15_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),I) = J ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( ( v4_fomodel2(K,A) & m2_subset_1(K,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(A,K),F) => ? [L] : ( v4_fomodel2(L,A) & m2_subset_1(L,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & k29_fomodel2(A,L) = k29_fomodel2(A,K) & k3_funct_2(k3_finseq_2(k15_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),K) = L ) ) ) ) ) ) )).
fof(s2_nat_1__e3_105__newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ ( ~ ( A = k5_numbers & k5_numbers != k5_numbers ) & k1_newton(A,k5_numbers) = k5_numbers ) & ~ ( k1_newton(A,k5_numbers) != k5_numbers & A = k5_numbers & k5_numbers != k5_numbers ) & ! [B] : ( v7_ordinal1(B) => ( ( ~ ( ~ ( A = k5_numbers & B != k5_numbers ) & k1_newton(A,B) = k5_numbers ) & ~ ( k1_newton(A,B) != k5_numbers & A = k5_numbers & B != k5_numbers ) ) => ( ~ ( ~ ( A = k5_numbers & k1_nat_1(B,1) != k5_numbers ) & k1_newton(A,k1_nat_1(B,1)) = k5_numbers ) & ~ ( k1_newton(A,k1_nat_1(B,1)) != k5_numbers & A = k5_numbers & k1_nat_1(B,1) != k5_numbers ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ~ ( ~ ( A = k5_numbers & B != k5_numbers ) & k1_newton(A,B) = k5_numbers ) & ~ ( k1_newton(A,B) != k5_numbers & A = k5_numbers & B != k5_numbers ) ) ) ) ) )).
fof(s2_nat_1__e3_106_1_1__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k25_modelc_2(k43_modelc_2)) & v1_funct_1(C) & v1_funct_2(C,k22_modelc_3(A),k22_modelc_3(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k22_modelc_3(A),k22_modelc_3(A)))) ) => ( ( ( ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,k5_numbers) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,E),D),A),A) ) ) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,k5_numbers),D),A))) ) & ! [F] : ( v7_ordinal1(F) => ( ( ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,F) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,G),D),A),A) ) ) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,F),D),A))) ) => ( ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(H,k1_nat_1(F,1)) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,H),D),A),A) ) ) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,k1_nat_1(F,1)),D),A))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(I,F) & v3_modelc_3(k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,I),D),A),A) ) ) => r8_modelc_2(B,k14_modelc_3(A,k10_modelc_3(k1_funct_1(k29_modelc_1(k22_modelc_3(A),C,F),D),A))) ) ) ) ) )).
fof(s2_nat_1__e3_109_1__csspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k8_nat_1(k2_numbers,A,k5_numbers) = k8_nat_1(k2_numbers,k10_comseq_3(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k2_numbers,A,B) = k8_nat_1(k2_numbers,k10_comseq_3(A),B) => k8_nat_1(k2_numbers,A,k1_nat_1(B,1)) = k8_nat_1(k2_numbers,k10_comseq_3(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,A,B) = k8_nat_1(k2_numbers,k10_comseq_3(A),B) ) ) ) )).
fof(s2_nat_1__e3_10_1_1__prob_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v7_ordinal1(C) ) => ( ( r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,C),k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,C),k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,D))) => r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,C),k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,C),k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e3_10__convfun1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(k3_convfun1(A,B))) => ( ( k3_finseq_1(C) = k5_numbers & k3_finseq_1(D) = k5_numbers & k3_finseq_1(E) = k5_numbers & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k5_numbers)) => k1_funct_1(E,F) = k4_tarski(k1_funct_1(C,F),k1_funct_1(D,F)) ) ) ) => k4_rlvect_1(k3_convfun1(A,B),E) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_rlvect_1(A,C),k4_rlvect_1(B,D)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(k3_convfun1(A,B))) => ( ( k3_finseq_1(H) = G & k3_finseq_1(I) = G & k3_finseq_1(J) = G & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k2_finseq_1(G)) => k1_funct_1(J,K) = k4_tarski(k1_funct_1(H,K),k1_funct_1(I,K)) ) ) ) => k4_rlvect_1(k3_convfun1(A,B),J) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_rlvect_1(A,H),k4_rlvect_1(B,I)) ) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(B)) => ! [N] : ( m2_finseq_1(N,u1_struct_0(k3_convfun1(A,B))) => ( ( k3_finseq_1(L) = k1_nat_1(G,1) & k3_finseq_1(M) = k1_nat_1(G,1) & k3_finseq_1(N) = k1_nat_1(G,1) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k2_finseq_1(k1_nat_1(G,1))) => k1_funct_1(N,O) = k4_tarski(k1_funct_1(L,O),k1_funct_1(M,O)) ) ) ) => k4_rlvect_1(k3_convfun1(A,B),N) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_rlvect_1(A,L),k4_rlvect_1(B,M)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(B)) => ! [R] : ( m2_finseq_1(R,u1_struct_0(k3_convfun1(A,B))) => ( ( k3_finseq_1(P) = G & k3_finseq_1(Q) = G & k3_finseq_1(R) = G & ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k2_finseq_1(G)) => k1_funct_1(R,S) = k4_tarski(k1_funct_1(P,S),k1_funct_1(Q,S)) ) ) ) => k4_rlvect_1(k3_convfun1(A,B),R) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_rlvect_1(A,P),k4_rlvect_1(B,Q)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_10__holder_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k5_numbers) => k8_nat_1(k1_numbers,A,B) = k5_numbers ) ) => k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k5_numbers ) & ! [C] : ( v7_ordinal1(C) => ( ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => k8_nat_1(k1_numbers,A,D) = k5_numbers ) ) => k8_nat_1(k1_numbers,k3_series_1(A),C) = k5_numbers ) => ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_nat_1(C,1)) => k8_nat_1(k1_numbers,A,E) = k5_numbers ) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(C,1)) = k5_numbers ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,C) => k8_nat_1(k1_numbers,A,F) = k5_numbers ) ) => k8_nat_1(k1_numbers,k3_series_1(A),C) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e3_10__int_5,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ( ! [B] : ( m2_finseq_1(B,k4_numbers) => ( k3_finseq_1(B) = k1_nat_1(k5_numbers,1) => ( r1_xxreal_0(A,2) | r1_int_1(A,k1_funct_1(B,k1_nat_1(k5_numbers,1))) | ! [C] : ( m2_finseq_1(C,k4_numbers) => ( ( ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k5_int_1(k1_funct_1(k1_int_5(B),k1_funct_1(C,D)),A) = k5_numbers ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k4_finseq_1(C)) & r2_tarski(E,k4_finseq_1(C)) & D != E & r2_int_1(k1_funct_1(C,D),k1_funct_1(C,E),A) ) ) ) ) => r1_xxreal_0(k3_finseq_1(C),k5_numbers) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,k4_numbers) => ( k3_finseq_1(G) = k1_nat_1(F,1) => ( r1_xxreal_0(A,2) | r1_int_1(A,k1_funct_1(G,k1_nat_1(F,1))) | ! [H] : ( m2_finseq_1(H,k4_numbers) => ( ( ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k5_int_1(k1_funct_1(k1_int_5(G),k1_funct_1(H,I)),A) = k5_numbers ) ) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(I,k4_finseq_1(H)) & r2_tarski(J,k4_finseq_1(H)) & I != J & r2_int_1(k1_funct_1(H,I),k1_funct_1(H,J),A) ) ) ) ) => r1_xxreal_0(k3_finseq_1(H),F) ) ) ) ) ) => ! [K] : ( m2_finseq_1(K,k4_numbers) => ( k3_finseq_1(K) = k1_nat_1(k1_nat_1(F,1),1) => ( r1_xxreal_0(A,2) | r1_int_1(A,k1_funct_1(K,k1_nat_1(k1_nat_1(F,1),1))) | ! [L] : ( m2_finseq_1(L,k4_numbers) => ( ( ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(L)) => k5_int_1(k1_funct_1(k1_int_5(K),k1_funct_1(L,M)),A) = k5_numbers ) ) & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ~ ( r2_tarski(M,k4_finseq_1(L)) & r2_tarski(N,k4_finseq_1(L)) & M != N & r2_int_1(k1_funct_1(L,M),k1_funct_1(L,N),A) ) ) ) ) => r1_xxreal_0(k3_finseq_1(L),k1_nat_1(F,1)) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,k4_numbers) => ( k3_finseq_1(O) = k1_nat_1(F,1) => ( r1_xxreal_0(A,2) | r1_int_1(A,k1_funct_1(O,k1_nat_1(F,1))) | ! [P] : ( m2_finseq_1(P,k4_numbers) => ( ( ! [Q] : ( v7_ordinal1(Q) => ( r2_tarski(Q,k4_finseq_1(P)) => k5_int_1(k1_funct_1(k1_int_5(O),k1_funct_1(P,Q)),A) = k5_numbers ) ) & ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( v7_ordinal1(R) => ~ ( r2_tarski(Q,k4_finseq_1(P)) & r2_tarski(R,k4_finseq_1(P)) & Q != R & r2_int_1(k1_funct_1(P,Q),k1_funct_1(P,R),A) ) ) ) ) => r1_xxreal_0(k3_finseq_1(P),F) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_10__integr20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k5_numbers = k3_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( v1_xreal_0(F) => ~ ( F = k1_funct_1(C,E) & k1_funct_1(D,E) = k1_rlvect_1(A,B,F) ) ) ) ) ) => k4_rlvect_1(A,D) = k1_rlvect_1(A,B,k18_rvsum_1(C)) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( ( G = k3_finseq_1(I) & k3_finseq_1(I) = k3_finseq_1(H) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(I)) & ! [K] : ( v1_xreal_0(K) => ~ ( K = k1_funct_1(H,J) & k1_funct_1(I,J) = k1_rlvect_1(A,B,K) ) ) ) ) ) => k4_rlvect_1(A,I) = k1_rlvect_1(A,B,k18_rvsum_1(H)) ) ) ) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ( ( k1_nat_1(G,1) = k3_finseq_1(M) & k3_finseq_1(M) = k3_finseq_1(L) & ! [N] : ( v7_ordinal1(N) => ~ ( r2_tarski(N,k4_finseq_1(M)) & ! [O] : ( v1_xreal_0(O) => ~ ( O = k1_funct_1(L,N) & k1_funct_1(M,N) = k1_rlvect_1(A,B,O) ) ) ) ) ) => k4_rlvect_1(A,M) = k1_rlvect_1(A,B,k18_rvsum_1(L)) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,k1_numbers) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) => ( ( G = k3_finseq_1(Q) & k3_finseq_1(Q) = k3_finseq_1(P) & ! [R] : ( v7_ordinal1(R) => ~ ( r2_tarski(R,k4_finseq_1(Q)) & ! [S] : ( v1_xreal_0(S) => ~ ( S = k1_funct_1(P,R) & k1_funct_1(Q,R) = k1_rlvect_1(A,B,S) ) ) ) ) ) => k4_rlvect_1(A,Q) = k1_rlvect_1(A,B,k18_rvsum_1(P)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_10__ndiff_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ( ~ v2_struct_0(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v13_algstr_0(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v2_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v3_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v4_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v5_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v6_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v7_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v8_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v3_normsp_0(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v4_normsp_0(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & v2_normsp_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & l1_normsp_1(k1_funct_1(k2_ndiff_6(A,B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( ( ~ v2_struct_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v13_algstr_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v2_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v3_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v4_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v5_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v6_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v7_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v8_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v3_normsp_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v4_normsp_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v2_normsp_1(k1_funct_1(k2_ndiff_6(A,B),C)) & l1_normsp_1(k1_funct_1(k2_ndiff_6(A,B),C)) ) => ( ~ v2_struct_0(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v13_algstr_0(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v2_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v3_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v4_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v5_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v6_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v7_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v8_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v3_normsp_0(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v4_normsp_0(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & v2_normsp_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) & l1_normsp_1(k1_funct_1(k2_ndiff_6(A,B),k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ v2_struct_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v13_algstr_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v2_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v3_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v4_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v5_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v6_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v7_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v8_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),C)) & v3_normsp_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v4_normsp_0(k1_funct_1(k2_ndiff_6(A,B),C)) & v2_normsp_1(k1_funct_1(k2_ndiff_6(A,B),C)) & l1_normsp_1(k1_funct_1(k2_ndiff_6(A,B),C)) ) ) ) ) )).
fof(s2_nat_1__e3_10__poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v5_orders_3(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( E = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) & r3_orders_2(B,D,E) & F = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,A),D) & G = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,k2_xcmplx_0(A,k5_numbers)),D) ) => r3_orders_2(B,F,G) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ! [L] : ( m1_subset_1(L,u1_struct_0(B)) => ( ( J = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,I) & r3_orders_2(B,I,J) & K = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,A),I) & L = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,k2_xcmplx_0(A,H)),I) ) => r3_orders_2(B,K,L) ) ) ) ) ) => ! [M] : ( m1_subset_1(M,u1_struct_0(B)) => ! [N] : ( m1_subset_1(N,u1_struct_0(B)) => ! [O] : ( m1_subset_1(O,u1_struct_0(B)) => ! [P] : ( m1_subset_1(P,u1_struct_0(B)) => ( ( N = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,M) & r3_orders_2(B,M,N) & O = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,A),M) & P = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,k2_xcmplx_0(A,k1_nat_1(H,1))),M) ) => r3_orders_2(B,O,P) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ( m1_subset_1(Q,u1_struct_0(B)) => ! [R] : ( m1_subset_1(R,u1_struct_0(B)) => ! [S] : ( m1_subset_1(S,u1_struct_0(B)) => ! [T] : ( m1_subset_1(T,u1_struct_0(B)) => ( ( R = k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,Q) & r3_orders_2(B,Q,R) & S = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,A),Q) & T = k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,k2_xcmplx_0(A,H)),Q) ) => r3_orders_2(B,S,T) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_10__topdim_1,axiom,( ( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xxreal_0(k4_card_1(B),k5_numbers) => ( v1_topdim_1(B,A) & r2_tarski(B,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),k4_card_1(B))) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) ) => ( r1_xxreal_0(k4_card_1(E),C) => ( v1_topdim_1(E,D) & r2_tarski(E,k13_prob_1(u1_struct_0(D),k4_ordinal1,k9_setfam_1(u1_struct_0(D)),k1_topdim_1(D),k4_card_1(E))) ) ) ) ) => ! [F] : ( ( v2_pre_topc(F) & l1_pre_topc(F) ) => ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(F))) ) => ( r1_xxreal_0(k4_card_1(G),k1_nat_1(C,1)) => ( v1_topdim_1(G,F) & r2_tarski(G,k13_prob_1(u1_struct_0(F),k4_ordinal1,k9_setfam_1(u1_struct_0(F)),k1_topdim_1(F),k4_card_1(G))) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v2_pre_topc(H) & l1_pre_topc(H) ) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(H))) ) => ( r1_xxreal_0(k4_card_1(I),C) => ( v1_topdim_1(I,H) & r2_tarski(I,k13_prob_1(u1_struct_0(H),k4_ordinal1,k9_setfam_1(u1_struct_0(H)),k1_topdim_1(H),k4_card_1(I))) ) ) ) ) ) )).
fof(s2_nat_1__e3_110__fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ( v3_fomodel0(k24_fomodel2(A,k5_numbers),k1_fomodel1(A)) & ! [B] : ( v7_ordinal1(B) => ( v3_fomodel0(k24_fomodel2(A,B),k1_fomodel1(A)) => v3_fomodel0(k24_fomodel2(A,k1_nat_1(B,1)),k1_fomodel1(A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => v3_fomodel0(k24_fomodel2(A,B),k1_fomodel1(A)) ) ) ) )).
fof(s2_nat_1__e3_111__funct_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) ) => ( ( k8_funct_7(k8_funct_7(B,A),k1_nat_1(k5_numbers,1)) = k8_funct_7(B,k3_xcmplx_0(A,k1_nat_1(k5_numbers,1))) & ! [C] : ( v7_ordinal1(C) => ( k8_funct_7(k8_funct_7(B,A),k1_nat_1(C,1)) = k8_funct_7(B,k3_xcmplx_0(A,k1_nat_1(C,1))) => k8_funct_7(k8_funct_7(B,A),k1_nat_1(k1_nat_1(C,1),1)) = k8_funct_7(B,k3_xcmplx_0(A,k1_nat_1(k1_nat_1(C,1),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_funct_7(k8_funct_7(B,A),k1_nat_1(C,1)) = k8_funct_7(B,k3_xcmplx_0(A,k1_nat_1(C,1))) ) ) ) )).
fof(s2_nat_1__e3_115__fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ( r1_tarski(k1_funct_1(k39_fomodel1(A),k5_numbers),k3_finseq_2(k5_fomodel1(A))) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k1_funct_1(k39_fomodel1(A),B),k3_finseq_2(k5_fomodel1(A))) => r1_tarski(k1_funct_1(k39_fomodel1(A),k1_nat_1(B,1)),k3_finseq_2(k5_fomodel1(A))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(k39_fomodel1(A),B),k3_finseq_2(k5_fomodel1(A))) ) ) ) )).
fof(s2_nat_1__e3_11__fib_num,axiom,( ( k3_int_2(k1_pre_ff(k5_numbers),k1_pre_ff(k1_nat_1(k5_numbers,1))) = 1 & ! [A] : ( v7_ordinal1(A) => ( k3_int_2(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) = 1 => k3_int_2(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1))) = 1 ) ) ) => ! [A] : ( v7_ordinal1(A) => k3_int_2(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) = 1 ) )).
fof(s2_nat_1__e3_11__integr20,axiom,( ( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k5_numbers = k3_finseq_1(B) & r1_tarski(C,A) & k3_finseq_1(B) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_integr20(k9_subset_1(k1_numbers,C,k2_integra1(A,B,E))) ) ) ) => k18_rvsum_1(D) = k3_integra1(C) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( ~ v1_xboole_0(G) & v2_measure5(G) & m1_subset_1(G,k1_zfmisc_1(k1_numbers)) ) => ! [H] : ( m1_integra1(H,G) => ! [I] : ( ( ~ v1_xboole_0(I) & v2_measure5(I) & m1_subset_1(I,k1_zfmisc_1(k1_numbers)) ) => ! [J] : ( m2_finseq_1(J,k1_numbers) => ( ( F = k3_finseq_1(H) & r1_tarski(I,G) & k3_finseq_1(H) = k3_finseq_1(J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(J)) => k1_funct_1(J,K) = k1_integr20(k9_subset_1(k1_numbers,I,k2_integra1(G,H,K))) ) ) ) => k18_rvsum_1(J) = k3_integra1(I) ) ) ) ) ) => ! [L] : ( ( ~ v1_xboole_0(L) & v2_measure5(L) & m1_subset_1(L,k1_zfmisc_1(k1_numbers)) ) => ! [M] : ( m1_integra1(M,L) => ! [N] : ( ( ~ v1_xboole_0(N) & v2_measure5(N) & m1_subset_1(N,k1_zfmisc_1(k1_numbers)) ) => ! [O] : ( m2_finseq_1(O,k1_numbers) => ( ( k1_nat_1(F,1) = k3_finseq_1(M) & r1_tarski(N,L) & k3_finseq_1(M) = k3_finseq_1(O) & ! [P] : ( v7_ordinal1(P) => ( r2_tarski(P,k4_finseq_1(O)) => k1_funct_1(O,P) = k1_integr20(k9_subset_1(k1_numbers,N,k2_integra1(L,M,P))) ) ) ) => k18_rvsum_1(O) = k3_integra1(N) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( ~ v1_xboole_0(Q) & v2_measure5(Q) & m1_subset_1(Q,k1_zfmisc_1(k1_numbers)) ) => ! [R] : ( m1_integra1(R,Q) => ! [S] : ( ( ~ v1_xboole_0(S) & v2_measure5(S) & m1_subset_1(S,k1_zfmisc_1(k1_numbers)) ) => ! [T] : ( m2_finseq_1(T,k1_numbers) => ( ( F = k3_finseq_1(R) & r1_tarski(S,Q) & k3_finseq_1(R) = k3_finseq_1(T) & ! [U] : ( v7_ordinal1(U) => ( r2_tarski(U,k4_finseq_1(T)) => k1_funct_1(T,U) = k1_integr20(k9_subset_1(k1_numbers,S,k2_integra1(Q,R,U))) ) ) ) => k18_rvsum_1(T) = k3_integra1(S) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_11__matrtop1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ( ( k3_finseq_1(A) = k5_numbers & v4_partfun3(A) ) => ( r1_xxreal_0(k3_square_1(k16_rvsum_1(A)),k16_rvsum_1(k1_partfun3(A))) & r1_xxreal_0(k5_numbers,k16_rvsum_1(A)) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => ( ( k3_finseq_1(C) = B & v4_partfun3(C) ) => ( r1_xxreal_0(k3_square_1(k16_rvsum_1(C)),k16_rvsum_1(k1_partfun3(C))) & r1_xxreal_0(k5_numbers,k16_rvsum_1(C)) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v3_valued_0(D) ) => ( ( k3_finseq_1(D) = k1_nat_1(B,1) & v4_partfun3(D) ) => ( r1_xxreal_0(k3_square_1(k16_rvsum_1(D)),k16_rvsum_1(k1_partfun3(D))) & r1_xxreal_0(k5_numbers,k16_rvsum_1(D)) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v3_valued_0(E) ) => ( ( k3_finseq_1(E) = B & v4_partfun3(E) ) => ( r1_xxreal_0(k3_square_1(k16_rvsum_1(E)),k16_rvsum_1(k1_partfun3(E))) & r1_xxreal_0(k5_numbers,k16_rvsum_1(E)) ) ) ) ) )).
fof(s2_nat_1__e3_11__sin_cos2,axiom,( ( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k16_sin_cos,A) = k1_funct_1(k16_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers),A)) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k16_sin_cos,C) = k1_funct_1(k16_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),C)) ) => ! [D] : ( v1_xreal_0(D) => k1_funct_1(k16_sin_cos,D) = k1_funct_1(k16_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_nat_1(B,1)),D)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v1_xreal_0(E) => k1_funct_1(k16_sin_cos,E) = k1_funct_1(k16_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),E)) ) ) )).
fof(s2_nat_1__e3_12_1_2__measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k8_nat_1(B,C,D),k8_nat_1(B,C,k5_numbers)) => r1_tarski(k8_nat_1(B,C,k1_nat_1(D,1)),k8_nat_1(B,C,k5_numbers)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(B,C,D),k8_nat_1(B,C,k5_numbers)) ) ) ) )).
fof(s2_nat_1__e3_12__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k5_numbers)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k5_numbers),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(C,1))) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(C,1)),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(C,1)),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) )).
fof(s2_nat_1__e3_12__diff_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),A),B),k5_numbers),D) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),k2_xcmplx_0(A,k5_numbers)),D) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),A),B),E),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),k2_xcmplx_0(A,E)),F) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),A),B),k1_nat_1(E,1)),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),k2_xcmplx_0(A,k1_nat_1(E,1))),G) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),A),B),E),H) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),k2_xcmplx_0(A,E)),H) ) ) ) ) )).
fof(s2_nat_1__e3_12__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) & m2_finseq_1(C,A) & m2_finseq_1(D,A) & m1_subset_1(E,u1_struct_0(B)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),k5_numbers) = k1_funct_1(k2_fsm_1(A,B,E,C),k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),F) = k1_funct_1(k2_fsm_1(A,B,E,C),F) ) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(C)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),k1_nat_1(F,1)) = k1_funct_1(k2_fsm_1(A,B,E,C),k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),F) = k1_funct_1(k2_fsm_1(A,B,E,C),F) ) ) ) ) )).
fof(s2_nat_1__e3_12__poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_abian(u1_struct_0(A),C,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),C) = C ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_abian(u1_struct_0(A),E,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),E) = E ) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_abian(u1_struct_0(A),F,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(D,1)),F) = F ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_abian(u1_struct_0(A),G,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),G) = G ) ) ) ) ) )).
fof(s2_nat_1__e3_12__radix_3,axiom,( ( r2_tarski(k5_numbers,k1_radix_3(k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( r2_tarski(k5_numbers,k1_radix_3(A)) => r2_tarski(k5_numbers,k1_radix_3(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r2_tarski(k5_numbers,k1_radix_3(A)) ) )).
fof(s2_nat_1__e3_12__ramsey_1,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k3_group_10(B,k5_numbers),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(B,k5_numbers),A))) ) => ~ ( k1_card_1(B) = k4_ordinal1 & r1_tarski(B,k4_ordinal1) & A != k5_numbers & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ~ ( ~ v1_finset_1(D) & v3_funct_1(k2_partfun1(k3_group_10(B,k5_numbers),A,C,k3_group_10(D,k5_numbers))) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k3_group_10(G,E),F) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(G,E),F))) ) => ~ ( k1_card_1(G) = k4_ordinal1 & r1_tarski(G,k4_ordinal1) & F != k5_numbers & ! [I] : ( m1_subset_1(I,k1_zfmisc_1(G)) => ~ ( ~ v1_finset_1(I) & v3_funct_1(k2_partfun1(k3_group_10(G,E),F,H,k3_group_10(I,E))) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k3_group_10(K,k1_nat_1(E,1)),J) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(K,k1_nat_1(E,1)),J))) ) => ~ ( k1_card_1(K) = k4_ordinal1 & r1_tarski(K,k4_ordinal1) & J != k5_numbers & ! [M] : ( m1_subset_1(M,k1_zfmisc_1(K)) => ~ ( ~ v1_finset_1(M) & v3_funct_1(k2_partfun1(k3_group_10(K,k1_nat_1(E,1)),J,L,k3_group_10(M,k1_nat_1(E,1)))) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( v7_ordinal1(N) => ! [O] : ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k3_group_10(O,E),N) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(O,E),N))) ) => ~ ( k1_card_1(O) = k4_ordinal1 & r1_tarski(O,k4_ordinal1) & N != k5_numbers & ! [Q] : ( m1_subset_1(Q,k1_zfmisc_1(O)) => ~ ( ~ v1_finset_1(Q) & v3_funct_1(k2_partfun1(k3_group_10(O,E),N,P,k3_group_10(Q,E))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_12__sin_cos2,axiom,( ( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k18_sin_cos,A) = k1_funct_1(k18_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers),A)) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k18_sin_cos,C) = k1_funct_1(k18_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),C)) ) => ! [D] : ( v1_xreal_0(D) => k1_funct_1(k18_sin_cos,D) = k1_funct_1(k18_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_nat_1(B,1)),D)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v1_xreal_0(E) => k1_funct_1(k18_sin_cos,E) = k1_funct_1(k18_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),E)) ) ) )).
fof(s2_nat_1__e3_130__comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( ( r1_xxreal_0(A,k5_numbers) => r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,A),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,k5_numbers)) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(A,B) => r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,A),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) ) => ( r1_xxreal_0(A,k1_nat_1(B,1)) => r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,A),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,A),k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) ) ) ) ) )).
fof(s2_nat_1__e3_132__comput_1,axiom,( ( r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,k5_numbers),k9_comput_1) & ! [A] : ( v7_ordinal1(A) => ( r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,A),k9_comput_1) => r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,k1_nat_1(A,1)),k9_comput_1) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_tarski(k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,A),k9_comput_1) ) )).
fof(s2_nat_1__e3_133__comput_1,axiom,( ( ! [A] : ( m2_rfunct_3(A,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ( r2_tarski(A,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,k5_numbers)) => v3_margrel1(A,k4_ordinal1) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( m2_rfunct_3(C,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ( r2_tarski(C,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) => v3_margrel1(C,k4_ordinal1) ) ) => ! [D] : ( m2_rfunct_3(D,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ( r2_tarski(D,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,k1_nat_1(B,1))) => v3_margrel1(D,k4_ordinal1) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( m2_rfunct_3(E,k3_finseq_2(k4_ordinal1),k4_ordinal1,k2_comput_1(k4_ordinal1)) => ( r2_tarski(E,k8_nat_1(k9_setfam_1(k2_comput_1(k4_ordinal1)),k13_comput_1,B)) => v3_margrel1(E,k4_ordinal1) ) ) ) )).
fof(s2_nat_1__e3_134__numpoly1,axiom,( ( k1_funct_1(k3_series_1(k10_numpoly1),k5_numbers) = k6_xcmplx_0(2,k7_xcmplx_0(2,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( k1_funct_1(k3_series_1(k10_numpoly1),A) = k6_xcmplx_0(2,k7_xcmplx_0(2,k2_xcmplx_0(A,1))) => k1_funct_1(k3_series_1(k10_numpoly1),k1_nat_1(A,1)) = k6_xcmplx_0(2,k7_xcmplx_0(2,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_funct_1(k3_series_1(k10_numpoly1),A) = k6_xcmplx_0(2,k7_xcmplx_0(2,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_137__simplex0,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_simplex0(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => ( ( k2_struct_0(k12_simplex0(A,B,C,k5_numbers)) = k2_struct_0(B) & ! [D] : ( v7_ordinal1(D) => ( k2_struct_0(k12_simplex0(A,B,C,D)) = k2_struct_0(B) => k2_struct_0(k12_simplex0(A,B,C,k1_nat_1(D,1))) = k2_struct_0(B) ) ) ) => ! [D] : ( v7_ordinal1(D) => k2_struct_0(k12_simplex0(A,B,C,D)) = k2_struct_0(B) ) ) ) )).
fof(s2_nat_1__e3_13_1_1_2_1__measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k8_nat_1(B,C,D),k8_nat_1(B,C,k5_numbers)) => r1_tarski(k8_nat_1(B,C,k1_nat_1(D,1)),k8_nat_1(B,C,k5_numbers)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(B,C,D),k8_nat_1(B,C,k5_numbers)) ) ) ) )).
fof(s2_nat_1__e3_13_2_1__zf_fund2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( r2_tarski(k1_funct_1(B,k5_numbers),k2_ordinal1(A)) & v3_ordinal1(k1_funct_1(B,k5_numbers)) & m1_subset_1(k1_funct_1(B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(k1_funct_1(B,C),k2_ordinal1(A)) & v3_ordinal1(k1_funct_1(B,C)) & m1_subset_1(k1_funct_1(B,C),A) ) => ( r2_tarski(k1_funct_1(B,k1_nat_1(C,1)),k2_ordinal1(A)) & v3_ordinal1(k1_funct_1(B,k1_nat_1(C,1))) & m1_subset_1(k1_funct_1(B,k1_nat_1(C,1)),A) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k1_funct_1(B,C),k2_ordinal1(A)) & v3_ordinal1(k1_funct_1(B,C)) & m1_subset_1(k1_funct_1(B,C),A) ) ) ) ) )).
fof(s2_nat_1__e3_13__flang_1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ~ ( k1_afinsq_1(A) = k5_numbers & A != k1_xboole_0 & ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : A != k1_ordinal4(k5_afinsq_1(C),B) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ~ ( k1_afinsq_1(E) = D & E != k1_xboole_0 & ! [F] : ( ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & v1_finset_1(F) ) => ! [G] : E != k1_ordinal4(k5_afinsq_1(G),F) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & v1_finset_1(H) ) => ~ ( k1_afinsq_1(H) = k1_nat_1(D,1) & H != k1_xboole_0 & ! [I] : ( ( v1_relat_1(I) & v5_ordinal1(I) & v1_funct_1(I) & v1_finset_1(I) ) => ! [J] : H != k1_ordinal4(k5_afinsq_1(J),I) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v1_relat_1(K) & v5_ordinal1(K) & v1_funct_1(K) & v1_finset_1(K) ) => ~ ( k1_afinsq_1(K) = D & K != k1_xboole_0 & ! [L] : ( ( v1_relat_1(L) & v5_ordinal1(L) & v1_funct_1(L) & v1_finset_1(L) ) => ! [M] : K != k1_ordinal4(k5_afinsq_1(M),L) ) ) ) ) )).
fof(s2_nat_1__e3_13__goboard2,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E) ) ) ) ) ) & v1_topreal1(B) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,C) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1)) ) ) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,A) & k3_topreal1(2,B) = k3_topreal1(2,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) & r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(G) = F & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ~ ( r2_hidden(k4_tarski(I,J),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),G,H) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,I,J) ) ) ) ) ) & v1_topreal1(G) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(G)) & r2_tarski(k1_nat_1(H,1),k4_finseq_1(G)) & k7_partfun1(u1_struct_0(k15_euclid(2)),G,H) = k7_partfun1(u1_struct_0(k15_euclid(2)),G,k1_nat_1(H,1)) ) ) & ! [H] : ( m2_finseq_1(H,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),H,A) & k3_topreal1(2,G) = k3_topreal1(2,H) & k7_partfun1(u1_struct_0(k15_euclid(2)),H,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),G,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),H,k3_finseq_1(H)) = k7_partfun1(u1_struct_0(k15_euclid(2)),G,k3_finseq_1(G)) & r1_xxreal_0(k3_finseq_1(G),k3_finseq_1(H)) ) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(K) = k1_nat_1(F,1) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ~ ( r2_hidden(k4_tarski(M,N),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),K,L) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,M,N) ) ) ) ) ) & v1_topreal1(K) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(K)) & r2_tarski(k1_nat_1(L,1),k4_finseq_1(K)) & k7_partfun1(u1_struct_0(k15_euclid(2)),K,L) = k7_partfun1(u1_struct_0(k15_euclid(2)),K,k1_nat_1(L,1)) ) ) & ! [L] : ( m2_finseq_1(L,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),L,A) & k3_topreal1(2,K) = k3_topreal1(2,L) & k7_partfun1(u1_struct_0(k15_euclid(2)),L,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),K,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),L,k3_finseq_1(L)) = k7_partfun1(u1_struct_0(k15_euclid(2)),K,k3_finseq_1(K)) & r1_xxreal_0(k3_finseq_1(K),k3_finseq_1(L)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(O) = F & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(O)) & ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( v7_ordinal1(R) => ~ ( r2_hidden(k4_tarski(Q,R),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),O,P) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,Q,R) ) ) ) ) ) & v1_topreal1(O) & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(O)) & r2_tarski(k1_nat_1(P,1),k4_finseq_1(O)) & k7_partfun1(u1_struct_0(k15_euclid(2)),O,P) = k7_partfun1(u1_struct_0(k15_euclid(2)),O,k1_nat_1(P,1)) ) ) & ! [P] : ( m2_finseq_1(P,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),P,A) & k3_topreal1(2,O) = k3_topreal1(2,P) & k7_partfun1(u1_struct_0(k15_euclid(2)),P,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),O,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),P,k3_finseq_1(P)) = k7_partfun1(u1_struct_0(k15_euclid(2)),O,k3_finseq_1(O)) & r1_xxreal_0(k3_finseq_1(O),k3_finseq_1(P)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_13__int_7,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ( ( k3_finseq_1(A) = k5_numbers & v1_int_7(B) & r1_int_1(C,k8_nat_3(k8_newton,B)) & k8_nat_3(k8_newton,B) = k2_wsierp_1(A) & A = k3_relat_1(k19_finseq_1(k22_pre_poly(k8_newton,B)),B) ) => ( k8_nat_3(k8_newton,B) = 1 | r2_tarski(C,k22_pre_poly(k8_newton,B)) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k8_newton) & v1_funct_1(F) & v1_partfun1(F,k8_newton) & v4_valued_0(F) & v2_pre_poly(F) ) => ! [G] : ( ( v7_ordinal1(G) & v1_int_2(G) ) => ( ( k3_finseq_1(E) = D & v1_int_7(F) & r1_int_1(G,k8_nat_3(k8_newton,F)) & k8_nat_3(k8_newton,F) = k2_wsierp_1(E) & E = k3_relat_1(k19_finseq_1(k22_pre_poly(k8_newton,F)),F) ) => ( k8_nat_3(k8_newton,F) = 1 | r2_tarski(G,k22_pre_poly(k8_newton,F)) ) ) ) ) ) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k8_newton) & v1_funct_1(I) & v1_partfun1(I,k8_newton) & v4_valued_0(I) & v2_pre_poly(I) ) => ! [J] : ( ( v7_ordinal1(J) & v1_int_2(J) ) => ( ( k3_finseq_1(H) = k1_nat_1(D,1) & v1_int_7(I) & r1_int_1(J,k8_nat_3(k8_newton,I)) & k8_nat_3(k8_newton,I) = k2_wsierp_1(H) & H = k3_relat_1(k19_finseq_1(k22_pre_poly(k8_newton,I)),I) ) => ( k8_nat_3(k8_newton,I) = 1 | r2_tarski(J,k22_pre_poly(k8_newton,I)) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k4_ordinal1) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k8_newton) & v1_funct_1(L) & v1_partfun1(L,k8_newton) & v4_valued_0(L) & v2_pre_poly(L) ) => ! [M] : ( ( v7_ordinal1(M) & v1_int_2(M) ) => ( ( k3_finseq_1(K) = D & v1_int_7(L) & r1_int_1(M,k8_nat_3(k8_newton,L)) & k8_nat_3(k8_newton,L) = k2_wsierp_1(K) & K = k3_relat_1(k19_finseq_1(k22_pre_poly(k8_newton,L)),L) ) => ( k8_nat_3(k8_newton,L) = 1 | r2_tarski(M,k22_pre_poly(k8_newton,L)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_13__integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k5_numbers = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( E = k7_partfun1(u1_struct_0(A),B,D) & k1_funct_1(C,D) = k2_normsp_0(A,E) ) ) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,B)),k18_rvsum_1(C)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ( ( F = k3_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(H) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(G)) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( J = k7_partfun1(u1_struct_0(A),G,I) & k1_funct_1(H,I) = k2_normsp_0(A,J) ) ) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,G)),k18_rvsum_1(H)) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k1_nat_1(F,1) = k3_finseq_1(K) & k3_finseq_1(K) = k3_finseq_1(L) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ~ ( r2_tarski(M,k4_finseq_1(K)) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( N = k7_partfun1(u1_struct_0(A),K,M) & k1_funct_1(L,M) = k2_normsp_0(A,N) ) ) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,K)),k18_rvsum_1(L)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ! [P] : ( m2_finseq_1(P,k1_numbers) => ( ( F = k3_finseq_1(O) & k3_finseq_1(O) = k3_finseq_1(P) & ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ~ ( r2_tarski(Q,k4_finseq_1(O)) & ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ~ ( R = k7_partfun1(u1_struct_0(A),O,Q) & k1_funct_1(P,Q) = k2_normsp_0(A,R) ) ) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,O)),k18_rvsum_1(P)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_13__ltlaxio4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) & m1_subset_1(B,k4_ordinal1) ) => ( ( ! [C] : ( m2_finseq_1(C,k1_hilbert1) => ( k3_finseq_1(C) = k5_numbers => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,k2_ltlaxio2(C),k3_finseq_1(k2_ltlaxio2(C))))) = 1 <=> ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,C,D))) = 1 ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k1_hilbert1) => ( k3_finseq_1(F) = E => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,k2_ltlaxio2(F),k3_finseq_1(k2_ltlaxio2(F))))) = 1 <=> ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,F,G))) = 1 ) ) ) ) ) => ! [H] : ( m2_finseq_1(H,k1_hilbert1) => ( k3_finseq_1(H) = k1_nat_1(E,1) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,k2_ltlaxio2(H),k3_finseq_1(k2_ltlaxio2(H))))) = 1 <=> ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,H,I))) = 1 ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,k1_hilbert1) => ( k3_finseq_1(J) = E => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,k2_ltlaxio2(J),k3_finseq_1(k2_ltlaxio2(J))))) = 1 <=> ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(J)) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(A),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_partfun1(k1_hilbert1,J,K))) = 1 ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_13__poset_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_yellow_2(u1_struct_0(A),A,B,C) & E = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),D) & F = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,k5_numbers),D) ) => r3_orders_2(A,E,F) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r1_yellow_2(u1_struct_0(A),A,B,C) & I = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,G),H) & J = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,G),H) ) => r3_orders_2(A,I,J) ) ) ) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ( r1_yellow_2(u1_struct_0(A),A,B,C) & L = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(G,1)),K) & M = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,k1_nat_1(G,1)),K) ) => r3_orders_2(A,L,M) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ( ( r1_yellow_2(u1_struct_0(A),A,B,C) & O = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,G),N) & P = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),C,G),N) ) => r3_orders_2(A,O,P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_13__urysohn1,axiom,( ( r2_tarski(k5_numbers,k1_urysohn1(k5_numbers)) & r2_tarski(1,k1_urysohn1(k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( ( r2_tarski(k5_numbers,k1_urysohn1(A)) & r2_tarski(1,k1_urysohn1(A)) ) => ( r2_tarski(k5_numbers,k1_urysohn1(k1_nat_1(A,1))) & r2_tarski(1,k1_urysohn1(k1_nat_1(A,1))) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r2_tarski(k5_numbers,k1_urysohn1(A)) & r2_tarski(1,k1_urysohn1(A)) ) ) )).
fof(s2_nat_1__e3_142_2_2__group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) & v1_funct_1(E) & v1_funct_2(E,A,k1_funct_2(C,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(C,C)))) ) => ( ( ! [F] : ( m2_finseq_1(F,A) => ( k3_finseq_1(F) = k5_numbers => k2_group_9(A,B,D,F) = k2_partfun1(C,C,k2_group_9(A,C,E,F),B) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,A) => ( k3_finseq_1(H) = G => k2_group_9(A,B,D,H) = k2_partfun1(C,C,k2_group_9(A,C,E,H),B) ) ) => ! [I] : ( m2_finseq_1(I,A) => ( k3_finseq_1(I) = k1_nat_1(G,1) => k2_group_9(A,B,D,I) = k2_partfun1(C,C,k2_group_9(A,C,E,I),B) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m2_finseq_1(J,A) => ( k3_finseq_1(J) = G => k2_group_9(A,B,D,J) = k2_partfun1(C,C,k2_group_9(A,C,E,J),B) ) ) ) ) ) )).
fof(s2_nat_1__e3_14_1__goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_nat_1(B,1)) => ( r1_xxreal_0(k5_numbers,k5_numbers) | k1_funct_1(o_2_0_goedcpuc(A,B),k5_numbers) = k1_funct_1(o_2_2_goedcpuc(A,B),k5_numbers) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k1_nat_1(B,1)) => ( r1_xxreal_0(C,k5_numbers) | k1_funct_1(o_2_0_goedcpuc(A,B),C) = k1_funct_1(o_2_2_goedcpuc(A,B),C) ) ) => ( r1_xxreal_0(k1_nat_1(C,1),k1_nat_1(B,1)) => ( r1_xxreal_0(k1_nat_1(C,1),k5_numbers) | k1_funct_1(o_2_0_goedcpuc(A,B),k1_nat_1(C,1)) = k1_funct_1(o_2_2_goedcpuc(A,B),k1_nat_1(C,1)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k1_nat_1(B,1)) => ( r1_xxreal_0(C,k5_numbers) | k1_funct_1(o_2_0_goedcpuc(A,B),C) = k1_funct_1(o_2_2_goedcpuc(A,B),C) ) ) ) ) ) )).
fof(s2_nat_1__e3_14_2_1_2_4__tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k2_xcmplx_0(k5_numbers,D)),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k3_xcmplx_0(k2_power(B,k5_numbers),k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,D),k8_nat_1(u1_struct_0(A),C,k5_numbers)))) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k2_xcmplx_0(E,F)),k8_nat_1(u1_struct_0(A),C,E)),k3_xcmplx_0(k2_power(B,E),k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,F),k8_nat_1(u1_struct_0(A),C,k5_numbers)))) ) => ! [G] : ( v7_ordinal1(G) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k2_xcmplx_0(k1_nat_1(E,1),G)),k8_nat_1(u1_struct_0(A),C,k1_nat_1(E,1))),k3_xcmplx_0(k2_power(B,k1_nat_1(E,1)),k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,G),k8_nat_1(u1_struct_0(A),C,k5_numbers)))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k2_xcmplx_0(E,H)),k8_nat_1(u1_struct_0(A),C,E)),k3_xcmplx_0(k2_power(B,E),k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,H),k8_nat_1(u1_struct_0(A),C,k5_numbers)))) ) ) ) ) )).
fof(s2_nat_1__e3_14__group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k3_group_4(A,k5_finseq_2(u1_struct_0(A),k5_numbers,B)) = k5_group_1(A,B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k3_group_4(A,k5_finseq_2(u1_struct_0(A),C,B)) = k5_group_1(A,B,C) => k3_group_4(A,k5_finseq_2(u1_struct_0(A),k1_nat_1(C,1),B)) = k5_group_1(A,B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_group_4(A,k5_finseq_2(u1_struct_0(A),C,B)) = k5_group_1(A,B,C) ) ) ) )).
fof(s2_nat_1__e3_14__radix_1,axiom,( ( r2_tarski(k5_numbers,k2_radix_1(k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( r2_tarski(k5_numbers,k2_radix_1(A)) => r2_tarski(k5_numbers,k2_radix_1(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r2_tarski(k5_numbers,k2_radix_1(A)) ) )).
fof(s2_nat_1__e3_155__fomodel3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( ( ! [C] : ( m2_subset_1(C,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [E] : ( ( v3_fomodel2(E,B,k5_numbers) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( k5_relat_1(C,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(E),k37_fomodel1(B))) = k5_relat_1(D,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(E),k37_fomodel1(B))) => k25_fomodel2(B,A,C,E) = k25_fomodel2(B,A,D,E) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_subset_1(G,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [H] : ( m2_subset_1(H,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [I] : ( ( v3_fomodel2(I,B,F) & m2_subset_1(I,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( k5_relat_1(G,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(I),k37_fomodel1(B))) = k5_relat_1(H,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(I),k37_fomodel1(B))) => k25_fomodel2(B,A,G,I) = k25_fomodel2(B,A,H,I) ) ) ) ) => ! [J] : ( m2_subset_1(J,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [K] : ( m2_subset_1(K,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [L] : ( ( v3_fomodel2(L,B,k1_nat_1(F,1)) & m2_subset_1(L,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( k5_relat_1(J,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(L),k37_fomodel1(B))) = k5_relat_1(K,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(L),k37_fomodel1(B))) => k25_fomodel2(B,A,J,L) = k25_fomodel2(B,A,K,L) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ( m2_subset_1(M,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [N] : ( m2_subset_1(N,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [O] : ( ( v3_fomodel2(O,B,F) & m2_subset_1(O,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( k5_relat_1(M,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(O),k37_fomodel1(B))) = k5_relat_1(N,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(O),k37_fomodel1(B))) => k25_fomodel2(B,A,M,O) = k25_fomodel2(B,A,N,O) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_15_1_1_4__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k12_supinf_2(C,k5_numbers) = k12_supinf_2(B,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k3_finseq_1(A)) => k12_supinf_2(C,D) = k12_supinf_2(B,D) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) => k12_supinf_2(C,k1_nat_1(D,1)) = k12_supinf_2(B,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(A)) => k12_supinf_2(C,D) = k12_supinf_2(B,D) ) ) ) ) )).
fof(s2_nat_1__e3_15_2_1__measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & v1_prob_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(E,k5_numbers) => k2_measure1(A,B,k8_nat_1(B,D,k5_numbers),k8_nat_1(B,C,E)) = k1_xboole_0 ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ~ r1_xxreal_0(G,F) => k2_measure1(A,B,k8_nat_1(B,D,F),k8_nat_1(B,C,G)) = k1_xboole_0 ) ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ~ r1_xxreal_0(H,k1_nat_1(F,1)) => k2_measure1(A,B,k8_nat_1(B,D,k1_nat_1(F,1)),k8_nat_1(B,C,H)) = k1_xboole_0 ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ~ r1_xxreal_0(I,F) => k2_measure1(A,B,k8_nat_1(B,D,F),k8_nat_1(B,C,I)) = k1_xboole_0 ) ) ) ) ) )).
fof(s2_nat_1__e3_15_6__measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & v1_prob_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( r1_tarski(k8_nat_1(B,D,k5_numbers),k2_measure2(A,B,k1_measure3(A,B,C))) & ! [E] : ( v7_ordinal1(E) => ( r1_tarski(k8_nat_1(B,D,E),k2_measure2(A,B,k1_measure3(A,B,C))) => r1_tarski(k8_nat_1(B,D,k1_nat_1(E,1)),k2_measure2(A,B,k1_measure3(A,B,C))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_tarski(k8_nat_1(B,D,E),k2_measure2(A,B,k1_measure3(A,B,C))) ) ) ) )).
fof(s2_nat_1__e3_15__convfun1,axiom,( ( ! [A] : ( m2_finseq_1(A,u1_struct_0(k4_convfun1)) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers & k3_finseq_1(B) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => k1_funct_1(A,C) = k12_supinf_2(B,C) ) ) ) => k4_rlvect_1(k4_convfun1,A) = k18_rvsum_1(B) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k4_convfun1)) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ( ( k3_finseq_1(E) = D & k3_finseq_1(F) = D & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(E)) => k1_funct_1(E,G) = k12_supinf_2(F,G) ) ) ) => k4_rlvect_1(k4_convfun1,E) = k18_rvsum_1(F) ) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k4_convfun1)) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(H) = k1_nat_1(D,1) & k3_finseq_1(I) = k1_nat_1(D,1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(H)) => k1_funct_1(H,J) = k12_supinf_2(I,J) ) ) ) => k4_rlvect_1(k4_convfun1,H) = k18_rvsum_1(I) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k4_convfun1)) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k3_finseq_1(K) = D & k3_finseq_1(L) = D & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(K)) => k1_funct_1(K,M) = k12_supinf_2(L,M) ) ) ) => k4_rlvect_1(k4_convfun1,K) = k18_rvsum_1(L) ) ) ) ) )).
fof(s2_nat_1__e3_15__goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( C = k6_xcmplx_0(B,k5_numbers) & r1_tarski(k5_goedcpuc(A,C),k5_goedcpuc(A,B)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_xxreal_0(D,B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( E = k6_xcmplx_0(B,D) & r1_tarski(k5_goedcpuc(A,E),k5_goedcpuc(A,B)) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(D,1),B) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( F = k6_xcmplx_0(B,k1_nat_1(D,1)) & r1_tarski(k5_goedcpuc(A,F),k5_goedcpuc(A,B)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,B) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( G = k6_xcmplx_0(B,D) & r1_tarski(k5_goedcpuc(A,G),k5_goedcpuc(A,B)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_15__hfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ( ( r1_taylor_1(B,k5_numbers,A) & r1_taylor_1(C,k5_numbers,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k5_numbers),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),k5_numbers),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),k5_numbers))) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_taylor_1(B,D,A) & r1_taylor_1(C,D,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),D),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),D))) ) => ( ( r1_taylor_1(B,k1_nat_1(D,1),A) & r1_taylor_1(C,k1_nat_1(D,1),A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(D,1)),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),k1_nat_1(D,1)),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),k1_nat_1(D,1)))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_taylor_1(B,D,A) & r1_taylor_1(C,D,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),D),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),D))) ) ) ) ) )).
fof(s2_nat_1__e3_15__numeral2,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( r2_tarski(A,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k5_numbers,k3_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k5_numbers,k3_fib_num2)),A) = k3_xcmplx_0(2,A) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k3_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k3_fib_num2)),C) = k3_xcmplx_0(2,C) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k1_nat_1(B,1),k3_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k1_nat_1(B,1),k3_fib_num2)),D) = k3_xcmplx_0(2,D) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k3_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k3_fib_num2)),E) = k3_xcmplx_0(2,E) ) ) ) )).
fof(s2_nat_1__e3_162_3__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( r2_hidden(k4_tarski(k1_funct_1(E,k5_numbers),k3_funct_2(k4_ordinal1,A,E,k1_nat_1(k5_numbers,1))),B) & r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k10_subset_1(k5_numbers,k4_ordinal1)),D) & ! [F] : ( v7_ordinal1(F) => ( ( r2_hidden(k4_tarski(k1_funct_1(E,F),k3_funct_2(k4_ordinal1,A,E,k1_nat_1(F,1))),B) & r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k10_subset_1(F,k4_ordinal1)),D) ) => ( r2_hidden(k4_tarski(k1_funct_1(E,k1_nat_1(F,1)),k3_funct_2(k4_ordinal1,A,E,k1_nat_1(k1_nat_1(F,1),1))),B) & r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k10_subset_1(k1_nat_1(F,1),k4_ordinal1)),D) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(k1_funct_1(E,F),k3_funct_2(k4_ordinal1,A,E,k1_nat_1(F,1))),B) & r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k10_subset_1(F,k4_ordinal1)),D) ) ) ) ) )).
fof(s2_nat_1__e3_16_2_1_2__lopban_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(B)) & v1_xreal_0(F) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(k1_normsp_0(A,G,k1_nat_1(k5_numbers,1)),k1_lopban_5(A,k1_normsp_0(A,G,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k5_numbers))) & ~ r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(k5_numbers,1)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_normsp_0(A,G,k1_nat_1(k5_numbers,1))),E))) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(k1_normsp_0(A,G,k1_nat_1(H,1)),k1_lopban_5(A,k1_normsp_0(A,G,H),k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),H))) & ~ r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(H,1)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_normsp_0(A,G,k1_nat_1(H,1))),E))) ) => ( r2_tarski(k1_normsp_0(A,G,k1_nat_1(k1_nat_1(H,1),1)),k1_lopban_5(A,k1_normsp_0(A,G,k1_nat_1(H,1)),k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(H,1)))) & ~ r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(k1_nat_1(H,1),1)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_normsp_0(A,G,k1_nat_1(k1_nat_1(H,1),1))),E))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(k1_normsp_0(A,G,k1_nat_1(H,1)),k1_lopban_5(A,k1_normsp_0(A,G,H),k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),H))) & ~ r1_xxreal_0(k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(F,k2_xcmplx_0(1,F))),k1_nat_1(H,1)),D),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_normsp_0(A,G,k1_nat_1(H,1))),E))) ) ) ) ) )).
fof(s2_nat_1__e3_16_2__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k5_numbers,1)),C) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(D,1)),E) = k5_numbers ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k1_nat_1(D,1),1)),F) = k5_numbers ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(D,1)),G) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e3_16_2__lp_space,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k1_lp_space(B,A),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(B,A)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,k1_lp_space(B,A),C) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(B,A)),C) => k8_nat_1(k1_numbers,k1_lp_space(B,A),k1_nat_1(C,1)) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(B,A)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k1_lp_space(B,A),C) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(B,A)),C) ) ) ) )).
fof(s2_nat_1__e3_16_3_1__waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & m2_subset_1(D,u1_struct_0(A),B) & m1_subset_1(E,k4_ordinal1) ) => ( ( r3_orders_2(A,k1_waybel_6(A,B,B,k1_abian(B,C,k1_nat_1(E,k10_subset_1(k5_numbers,k4_ordinal1))),D),k1_waybel_6(A,B,B,k1_abian(B,C,E),D)) & ! [F] : ( v7_ordinal1(F) => ( r3_orders_2(A,k1_waybel_6(A,B,B,k1_abian(B,C,k1_nat_1(E,k10_subset_1(F,k4_ordinal1))),D),k1_waybel_6(A,B,B,k1_abian(B,C,E),D)) => r3_orders_2(A,k1_waybel_6(A,B,B,k1_abian(B,C,k1_nat_1(E,k10_subset_1(k1_nat_1(F,1),k4_ordinal1))),D),k1_waybel_6(A,B,B,k1_abian(B,C,E),D)) ) ) ) => ! [F] : ( v7_ordinal1(F) => r3_orders_2(A,k1_waybel_6(A,B,B,k1_abian(B,C,k1_nat_1(E,k10_subset_1(F,k4_ordinal1))),D),k1_waybel_6(A,B,B,k1_abian(B,C,E),D)) ) ) ) )).
fof(s2_nat_1__e3_16_6__neckla_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( ~ ( r2_tarski(A,k1_funct_1(B,k5_numbers)) & ! [C] : ( ( v1_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_orders_2(D) & l1_orders_2(D) ) => ~ ( r1_xboole_0(u1_struct_0(C),u1_struct_0(D)) & r2_tarski(C,k4_neckla_2) & r2_tarski(D,k4_neckla_2) & ( A = k1_neckla_2(C,D) | A = k2_neckla_2(C,D) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r2_tarski(A,k1_funct_1(B,E)) & ! [F] : ( ( v1_orders_2(F) & l1_orders_2(F) ) => ! [G] : ( ( v1_orders_2(G) & l1_orders_2(G) ) => ~ ( r1_xboole_0(u1_struct_0(F),u1_struct_0(G)) & r2_tarski(F,k4_neckla_2) & r2_tarski(G,k4_neckla_2) & ( A = k1_neckla_2(F,G) | A = k2_neckla_2(F,G) ) ) ) ) ) => ~ ( r2_tarski(A,k1_funct_1(B,k1_nat_1(E,1))) & ! [H] : ( ( v1_orders_2(H) & l1_orders_2(H) ) => ! [I] : ( ( v1_orders_2(I) & l1_orders_2(I) ) => ~ ( r1_xboole_0(u1_struct_0(H),u1_struct_0(I)) & r2_tarski(H,k4_neckla_2) & r2_tarski(I,k4_neckla_2) & ( A = k1_neckla_2(H,I) | A = k2_neckla_2(H,I) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(A,k1_funct_1(B,E)) & ! [J] : ( ( v1_orders_2(J) & l1_orders_2(J) ) => ! [K] : ( ( v1_orders_2(K) & l1_orders_2(K) ) => ~ ( r1_xboole_0(u1_struct_0(J),u1_struct_0(K)) & r2_tarski(J,k4_neckla_2) & r2_tarski(K,k4_neckla_2) & ( A = k1_neckla_2(J,K) | A = k2_neckla_2(J,K) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_16__hfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ( ( r1_taylor_1(B,k5_numbers,A) & r1_taylor_1(C,k5_numbers,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k5_numbers),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),k5_numbers),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),k5_numbers))) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_taylor_1(B,D,A) & r1_taylor_1(C,D,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),D),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),D))) ) => ( ( r1_taylor_1(B,k1_nat_1(D,1),A) & r1_taylor_1(C,k1_nat_1(D,1),A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(D,1)),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),k1_nat_1(D,1)),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),k1_nat_1(D,1)))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_taylor_1(B,D,A) & r1_taylor_1(C,D,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),D),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,A),D))) ) ) ) ) )).
fof(s2_nat_1__e3_16__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & k3_finseq_1(D) = k5_numbers & ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(F,k9_xtuple_0(D)) & G = k1_funct_1(E,F) ) => k1_funct_1(D,F) = k3_vectsp_1(A,B,G,C) ) ) ) ) => k4_rlvect_1(B,D) = k3_vectsp_1(A,B,k4_rlvect_1(A,E),C) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(I) = k3_finseq_1(J) & k3_finseq_1(I) = H & ! [K] : ( v7_ordinal1(K) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( r2_tarski(K,k9_xtuple_0(I)) & L = k1_funct_1(J,K) ) => k1_funct_1(I,K) = k3_vectsp_1(A,B,L,C) ) ) ) ) => k4_rlvect_1(B,I) = k3_vectsp_1(A,B,k4_rlvect_1(A,J),C) ) ) ) => ! [M] : ( m2_finseq_1(M,u1_struct_0(B)) => ! [N] : ( m2_finseq_1(N,u1_struct_0(A)) => ( ( k3_finseq_1(M) = k3_finseq_1(N) & k3_finseq_1(M) = k1_nat_1(H,1) & ! [O] : ( v7_ordinal1(O) => ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ( ( r2_tarski(O,k9_xtuple_0(M)) & P = k1_funct_1(N,O) ) => k1_funct_1(M,O) = k3_vectsp_1(A,B,P,C) ) ) ) ) => k4_rlvect_1(B,M) = k3_vectsp_1(A,B,k4_rlvect_1(A,N),C) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(B)) => ! [R] : ( m2_finseq_1(R,u1_struct_0(A)) => ( ( k3_finseq_1(Q) = k3_finseq_1(R) & k3_finseq_1(Q) = H & ! [S] : ( v7_ordinal1(S) => ! [T] : ( m1_subset_1(T,u1_struct_0(A)) => ( ( r2_tarski(S,k9_xtuple_0(Q)) & T = k1_funct_1(R,S) ) => k1_funct_1(Q,S) = k3_vectsp_1(A,B,T,C) ) ) ) ) => k4_rlvect_1(B,Q) = k3_vectsp_1(A,B,k4_rlvect_1(A,R),C) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_16__numeral2,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( r2_tarski(A,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k5_numbers,k4_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k5_numbers,k4_fib_num2)),A) = k1_nat_1(k3_xcmplx_0(2,A),1) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k4_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k4_fib_num2)),C) = k1_nat_1(k3_xcmplx_0(2,C),1) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k1_nat_1(B,1),k4_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,k1_nat_1(B,1),k4_fib_num2)),D) = k1_nat_1(k3_xcmplx_0(2,D),1) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k4_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,B,k4_fib_num2)),E) = k1_nat_1(k3_xcmplx_0(2,E),1) ) ) ) )).
fof(s2_nat_1__e3_16__prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => ( ( ~ ( r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),k2_prob_3(B,C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k5_numbers) & r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),C,D)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),k2_prob_3(B,C),E)) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(F,E) & r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),C,F)) ) ) ) => ~ ( r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),k2_prob_3(B,C),k1_nat_1(E,1))) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,k1_nat_1(E,1)) & r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),C,G)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),k2_prob_3(B,C),E)) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(H,E) & r2_hidden(A,k1_prob_2(B,k9_setfam_1(B),C,H)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_16__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k5_numbers)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k5_numbers),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & ! [G] : ( v7_ordinal1(G) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1))) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) )).
fof(s2_nat_1__e3_172_1__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k30_modelc_1(A))) & m1_subset_1(D,u1_struct_0(k48_modelc_1(A,B,C))) & m1_modelc_1(E,A,B) & m1_subset_1(F,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,F) => r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k2_modelc_1(k6_xcmplx_0(F,k5_numbers))),D) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,F) => r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k2_modelc_1(k6_xcmplx_0(F,G))),D) ) => ( r1_xxreal_0(k1_nat_1(G,1),F) => r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k2_modelc_1(k6_xcmplx_0(F,k1_nat_1(G,1)))),D) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,F) => r3_modelc_1(A,B,C,k3_funct_2(k4_ordinal1,A,E,k2_modelc_1(k6_xcmplx_0(F,G))),D) ) ) ) ) )).
fof(s2_nat_1__e3_174__zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( k10_nat_1(u1_struct_0(A),k3_binom(A),k5_numbers,k4_struct_0(A)) = k4_struct_0(A) & ! [B] : ( v7_ordinal1(B) => ( k10_nat_1(u1_struct_0(A),k3_binom(A),B,k4_struct_0(A)) = k4_struct_0(A) => k10_nat_1(u1_struct_0(A),k3_binom(A),k1_nat_1(B,1),k4_struct_0(A)) = k4_struct_0(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k10_nat_1(u1_struct_0(A),k3_binom(A),B,k4_struct_0(A)) = k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e3_178__zmodul01,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),k5_numbers,B),k10_nat_1(u1_struct_0(A),k3_binom(A),k5_numbers,k4_algstr_0(A,B))) = k4_struct_0(A) & ! [C] : ( v7_ordinal1(C) => ( k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),C,B),k10_nat_1(u1_struct_0(A),k3_binom(A),C,k4_algstr_0(A,B))) = k4_struct_0(A) => k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),k1_nat_1(C,1),B),k10_nat_1(u1_struct_0(A),k3_binom(A),k1_nat_1(C,1),k4_algstr_0(A,B))) = k4_struct_0(A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),C,B),k10_nat_1(u1_struct_0(A),k3_binom(A),C,k4_algstr_0(A,B))) = k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e3_17__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(k5_numbers,1)),D) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(E,1)),F) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(E,1)),H) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_17__diff_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),A),B),k5_numbers),D) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),k2_xcmplx_0(A,k5_numbers)),D) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),A),B),E),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),k2_xcmplx_0(A,E)),F) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),A),B),k1_nat_1(E,1)),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),k2_xcmplx_0(A,k1_nat_1(E,1))),G) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),A),B),E),H) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),k2_xcmplx_0(A,E)),H) ) ) ) ) )).
fof(s2_nat_1__e3_17__finseq_1,axiom,( ( r2_wellord2(k2_finseq_1(k5_numbers),k5_numbers) & ! [A] : ( v7_ordinal1(A) => ( r2_wellord2(k2_finseq_1(A),A) => r2_wellord2(k2_finseq_1(k1_nat_1(A,1)),k1_nat_1(A,1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => r2_wellord2(k2_finseq_1(A),A) ) )).
fof(s2_nat_1__e3_17__group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k1_funct_1(C,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),D),1)) = k2_group_1(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) => k3_group_4(A,B) = k2_group_1(A,k3_group_4(A,C)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( ( k3_finseq_1(F) = E & k3_finseq_1(F) = k3_finseq_1(G) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(F)) => k1_funct_1(G,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(F),H),1)) = k2_group_1(A,k7_partfun1(u1_struct_0(A),F,H)) ) ) ) => k3_group_4(A,F) = k2_group_1(A,k3_group_4(A,G)) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & k3_finseq_1(I) = k3_finseq_1(J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(I)) => k1_funct_1(J,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(I),K),1)) = k2_group_1(A,k7_partfun1(u1_struct_0(A),I,K)) ) ) ) => k3_group_4(A,I) = k2_group_1(A,k3_group_4(A,J)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ( ( k3_finseq_1(L) = E & k3_finseq_1(L) = k3_finseq_1(M) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(L)) => k1_funct_1(M,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(L),N),1)) = k2_group_1(A,k7_partfun1(u1_struct_0(A),L,N)) ) ) ) => k3_group_4(A,L) = k2_group_1(A,k3_group_4(A,M)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_17__int_6,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ( k3_finseq_1(A) = k5_numbers => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & k1_funct_1(A,B) = k5_numbers ) ) | k19_rvsum_1(A) = k5_numbers ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_valued_0(D) ) => ( k3_finseq_1(D) = C => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(D)) & k1_funct_1(D,E) = k5_numbers ) ) | k19_rvsum_1(D) = k5_numbers ) ) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v1_valued_0(F) ) => ( k3_finseq_1(F) = k1_nat_1(C,1) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(F)) & k1_funct_1(F,G) = k5_numbers ) ) | k19_rvsum_1(F) = k5_numbers ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & v1_valued_0(H) ) => ( k3_finseq_1(H) = C => ( ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(H)) & k1_funct_1(H,I) = k5_numbers ) ) | k19_rvsum_1(H) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e3_17__integr16,axiom,( ( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers & B = k1_integr16(A) ) => k18_rvsum_1(B) = k3_complex1(k17_rvsum_1(A)) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k2_numbers) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( ( k3_finseq_1(D) = C & E = k1_integr16(D) ) => k18_rvsum_1(E) = k3_complex1(k17_rvsum_1(D)) ) ) ) => ! [F] : ( m2_finseq_1(F,k2_numbers) => ! [G] : ( m2_finseq_1(G,k1_numbers) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & G = k1_integr16(F) ) => k18_rvsum_1(G) = k3_complex1(k17_rvsum_1(F)) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k2_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(H) = C & I = k1_integr16(H) ) => k18_rvsum_1(I) = k3_complex1(k17_rvsum_1(H)) ) ) ) ) )).
fof(s2_nat_1__e3_17__orders_4,axiom,( ( ! [A] : ( ( v8_struct_0(A) & m1_orders_4(A) ) => ( k4_card_1(u1_struct_0(A)) = k5_numbers => r5_waybel_1(A,k1_yellow_1(k5_numbers)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v8_struct_0(C) & m1_orders_4(C) ) => ( k4_card_1(u1_struct_0(C)) = B => r5_waybel_1(C,k1_yellow_1(B)) ) ) => ! [D] : ( ( v8_struct_0(D) & m1_orders_4(D) ) => ( k4_card_1(u1_struct_0(D)) = k1_nat_1(B,1) => r5_waybel_1(D,k1_yellow_1(k1_nat_1(B,1))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v8_struct_0(E) & m1_orders_4(E) ) => ( k4_card_1(u1_struct_0(E)) = B => r5_waybel_1(E,k1_yellow_1(B)) ) ) ) )).
fof(s2_nat_1__e3_17__zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(B)) & r1_zf_model(A,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( ~ r1_xxreal_0(k5_numbers,F) & r2_tarski(k2_zf_lang(F),k4_zf_lang1(D)) & F != 3 & F != 4 ) ) & ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(D)) & r1_zf_model(A,E,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(D,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(A,A,k1_zfmodel1(B,A,C),k1_zfmodel1(D,A,E)) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_zf_lang(H) & m2_finseq_1(H,k4_ordinal1) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_zf_lang,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(H)) & r1_zf_model(A,I,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(H,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & ! [J] : ( ( v1_zf_lang(J) & m2_finseq_1(J,k4_ordinal1) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k1_zf_lang,A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ! [L] : ( m1_subset_1(L,k4_ordinal1) => ~ ( ~ r1_xxreal_0(G,L) & r2_tarski(k2_zf_lang(L),k4_zf_lang1(J)) & L != 3 & L != 4 ) ) & ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(J)) & r1_zf_model(A,K,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(J,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(A,A,k1_zfmodel1(H,A,I),k1_zfmodel1(J,A,K)) ) ) ) ) ) ) => ! [M] : ( ( v1_zf_lang(M) & m2_finseq_1(M,k4_ordinal1) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k1_zf_lang,A) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(M)) & r1_zf_model(A,N,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(M,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & ! [O] : ( ( v1_zf_lang(O) & m2_finseq_1(O,k4_ordinal1) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k1_zf_lang,A) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ~ ( ~ r1_xxreal_0(k1_nat_1(G,1),Q) & r2_tarski(k2_zf_lang(Q),k4_zf_lang1(O)) & Q != 3 & Q != 4 ) ) & ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(O)) & r1_zf_model(A,P,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(O,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(A,A,k1_zfmodel1(M,A,N),k1_zfmodel1(O,A,P)) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( ( v1_zf_lang(R) & m2_finseq_1(R,k4_ordinal1) ) => ! [S] : ( ( v1_funct_1(S) & v1_funct_2(S,k1_zf_lang,A) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(R)) & r1_zf_model(A,S,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(R,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & ! [T] : ( ( v1_zf_lang(T) & m2_finseq_1(T,k4_ordinal1) ) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k1_zf_lang,A) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ! [V] : ( m1_subset_1(V,k4_ordinal1) => ~ ( ~ r1_xxreal_0(G,V) & r2_tarski(k2_zf_lang(V),k4_zf_lang1(T)) & V != 3 & V != 4 ) ) & ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(T)) & r1_zf_model(A,U,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(T,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(A,A,k1_zfmodel1(R,A,S),k1_zfmodel1(T,A,U)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_181__zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k10_nat_1(u1_struct_0(A),k3_binom(A),k5_numbers,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),k5_numbers,B),k10_nat_1(u1_struct_0(A),k3_binom(A),k5_numbers,C)) & ! [D] : ( v7_ordinal1(D) => ( k10_nat_1(u1_struct_0(A),k3_binom(A),D,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),D,B),k10_nat_1(u1_struct_0(A),k3_binom(A),D,C)) => k10_nat_1(u1_struct_0(A),k3_binom(A),k1_nat_1(D,1),k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),k1_nat_1(D,1),B),k10_nat_1(u1_struct_0(A),k3_binom(A),k1_nat_1(D,1),C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k10_nat_1(u1_struct_0(A),k3_binom(A),D,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),D,B),k10_nat_1(u1_struct_0(A),k3_binom(A),D,C)) ) ) ) )).
fof(s2_nat_1__e3_183__zmodul01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ( k10_nat_1(u1_struct_0(A),k3_binom(A),k3_xcmplx_0(k5_numbers,C),B) = k10_nat_1(u1_struct_0(A),k3_binom(A),k5_numbers,k10_nat_1(u1_struct_0(A),k3_binom(A),C,B)) & ! [D] : ( v7_ordinal1(D) => ( k10_nat_1(u1_struct_0(A),k3_binom(A),k3_xcmplx_0(D,C),B) = k10_nat_1(u1_struct_0(A),k3_binom(A),D,k10_nat_1(u1_struct_0(A),k3_binom(A),C,B)) => k10_nat_1(u1_struct_0(A),k3_binom(A),k3_xcmplx_0(k1_nat_1(D,1),C),B) = k10_nat_1(u1_struct_0(A),k3_binom(A),k1_nat_1(D,1),k10_nat_1(u1_struct_0(A),k3_binom(A),C,B)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k10_nat_1(u1_struct_0(A),k3_binom(A),k3_xcmplx_0(D,C),B) = k10_nat_1(u1_struct_0(A),k3_binom(A),D,k10_nat_1(u1_struct_0(A),k3_binom(A),C,B)) ) ) ) )).
fof(s2_nat_1__e3_18_2_1_1_2_1__bhsp_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,C) ) => k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(B,k5_numbers),D)) = k5_numbers ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,C) ) => k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(B,E),D)) = k5_numbers ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),C) ) => k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(B,k1_nat_1(E,1)),D)) = k5_numbers ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,C) ) => k1_funct_1(u1_bhsp_1(A),k4_tarski(k1_funct_1(B,E),D)) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e3_18__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k5_numbers,1)),D) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k5_numbers,1)),D),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),F) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(E,1)),F),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k1_nat_1(E,1),1)),G),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),H) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(E,1)),H),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_18__diff_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k5_numbers),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k5_numbers),k6_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k5_numbers,2),A))) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),D),E) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),D),k6_xcmplx_0(E,k3_xcmplx_0(k7_xcmplx_0(D,2),A))) ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(D,1)),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(D,1)),k6_xcmplx_0(F,k3_xcmplx_0(k7_xcmplx_0(k1_nat_1(D,1),2),A))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),D),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),D),k6_xcmplx_0(G,k3_xcmplx_0(k7_xcmplx_0(D,2),A))) ) ) ) ) )).
fof(s2_nat_1__e3_18__integr16,axiom,( ( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers & B = k2_integr16(A) ) => k18_rvsum_1(B) = k4_complex1(k17_rvsum_1(A)) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k2_numbers) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( ( k3_finseq_1(D) = C & E = k2_integr16(D) ) => k18_rvsum_1(E) = k4_complex1(k17_rvsum_1(D)) ) ) ) => ! [F] : ( m2_finseq_1(F,k2_numbers) => ! [G] : ( m2_finseq_1(G,k1_numbers) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & G = k2_integr16(F) ) => k18_rvsum_1(G) = k4_complex1(k17_rvsum_1(F)) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k2_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(H) = C & I = k2_integr16(H) ) => k18_rvsum_1(I) = k4_complex1(k17_rvsum_1(H)) ) ) ) ) )).
fof(s2_nat_1__e3_18__msscyc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) & ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) ) => ( k1_funct_1(k7_graph_2(A,B),k5_numbers) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,k5_numbers)) & k1_funct_1(k7_graph_2(A,B),k1_nat_1(k5_numbers,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,k5_numbers)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( k1_funct_1(k7_graph_2(A,B),C) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,C)) & k1_funct_1(k7_graph_2(A,B),k1_nat_1(C,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,C)) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(C,1)) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => ( k1_funct_1(k7_graph_2(A,B),k1_nat_1(C,1)) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,k1_nat_1(C,1))) & k1_funct_1(k7_graph_2(A,B),k1_nat_1(k1_nat_1(C,1),1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,k1_nat_1(C,1))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( k1_funct_1(k7_graph_2(A,B),C) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,C)) & k1_funct_1(k7_graph_2(A,B),k1_nat_1(C,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(s2_nat_1__e3_18__nat_4,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( v1_int_2(B) & r1_nat_d(C,k2_nat_1(A,k11_newton(B,k1_nat_1(k5_numbers,1)))) ) => ( r1_nat_d(C,k3_xcmplx_0(A,k1_newton(B,k5_numbers))) | r1_nat_d(k11_newton(B,k1_nat_1(k5_numbers,1)),C) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( v1_int_2(F) & r1_nat_d(G,k2_nat_1(E,k11_newton(F,k1_nat_1(D,1)))) ) => ( r1_nat_d(G,k3_xcmplx_0(E,k1_newton(F,D))) | r1_nat_d(k11_newton(F,k1_nat_1(D,1)),G) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( ( v1_int_2(I) & r1_nat_d(J,k2_nat_1(H,k11_newton(I,k1_nat_1(k1_nat_1(D,1),1)))) ) => ( r1_nat_d(J,k3_xcmplx_0(H,k1_newton(I,k1_nat_1(D,1)))) | r1_nat_d(k11_newton(I,k1_nat_1(k1_nat_1(D,1),1)),J) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( ( v1_int_2(L) & r1_nat_d(M,k2_nat_1(K,k11_newton(L,k1_nat_1(D,1)))) ) => ( r1_nat_d(M,k3_xcmplx_0(K,k1_newton(L,D))) | r1_nat_d(k11_newton(L,k1_nat_1(D,1)),M) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_18__seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k4_ordinal1,A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,B)) => r1_xxreal_0(k1_nat_1(B,1),k8_nat_1(k4_ordinal1,A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,B)) ) ) ) )).
fof(s2_nat_1__e3_18__zmodul04,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) ) => ( ( ! [C] : ( m2_vectsp_6(C,k11_gaussint,k5_zmodul04(A),B) => ~ ( k4_card_1(k1_vectsp_6(k11_gaussint,k5_zmodul04(A),C)) = k5_numbers & ! [D] : ( v1_int_1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_gaussint)) => ~ ( D != k5_numbers & D = E & r1_tarski(k2_relset_1(u1_struct_0(k11_gaussint),k6_vectsp_6(k11_gaussint,k5_zmodul04(A),E,C)),k4_numbers) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_vectsp_6(G,k11_gaussint,k5_zmodul04(A),B) => ~ ( k4_card_1(k1_vectsp_6(k11_gaussint,k5_zmodul04(A),G)) = F & ! [H] : ( v1_int_1(H) => ! [I] : ( m1_subset_1(I,u1_struct_0(k11_gaussint)) => ~ ( H != k5_numbers & H = I & r1_tarski(k2_relset_1(u1_struct_0(k11_gaussint),k6_vectsp_6(k11_gaussint,k5_zmodul04(A),I,G)),k4_numbers) ) ) ) ) ) => ! [J] : ( m2_vectsp_6(J,k11_gaussint,k5_zmodul04(A),B) => ~ ( k4_card_1(k1_vectsp_6(k11_gaussint,k5_zmodul04(A),J)) = k1_nat_1(F,1) & ! [K] : ( v1_int_1(K) => ! [L] : ( m1_subset_1(L,u1_struct_0(k11_gaussint)) => ~ ( K != k5_numbers & K = L & r1_tarski(k2_relset_1(u1_struct_0(k11_gaussint),k6_vectsp_6(k11_gaussint,k5_zmodul04(A),L,J)),k4_numbers) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ( m2_vectsp_6(M,k11_gaussint,k5_zmodul04(A),B) => ~ ( k4_card_1(k1_vectsp_6(k11_gaussint,k5_zmodul04(A),M)) = F & ! [N] : ( v1_int_1(N) => ! [O] : ( m1_subset_1(O,u1_struct_0(k11_gaussint)) => ~ ( N != k5_numbers & N = O & r1_tarski(k2_relset_1(u1_struct_0(k11_gaussint),k6_vectsp_6(k11_gaussint,k5_zmodul04(A),O,M)),k4_numbers) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_19__convfun1,axiom,( ( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers & k3_finseq_1(B) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => k12_supinf_2(A,C) = k12_supinf_2(B,C) ) ) ) => k4_extreal1(A) = k18_rvsum_1(B) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k6_numbers) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ( ( k3_finseq_1(E) = D & k3_finseq_1(F) = D & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(E)) => k12_supinf_2(E,G) = k12_supinf_2(F,G) ) ) ) => k4_extreal1(E) = k18_rvsum_1(F) ) ) ) => ! [H] : ( m2_finseq_1(H,k6_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(H) = k1_nat_1(D,1) & k3_finseq_1(I) = k1_nat_1(D,1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(H)) => k12_supinf_2(H,J) = k12_supinf_2(I,J) ) ) ) => k4_extreal1(H) = k18_rvsum_1(I) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k6_numbers) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k3_finseq_1(K) = D & k3_finseq_1(L) = D & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(K)) => k12_supinf_2(K,M) = k12_supinf_2(L,M) ) ) ) => k4_extreal1(K) = k18_rvsum_1(L) ) ) ) ) )).
fof(s2_nat_1__e3_19__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k5_numbers,1)),D) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k5_numbers,1)),D),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),F) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(E,1)),F),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k1_nat_1(E,1),1)),G),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),H) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(E,1)),H),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_19__diff_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k5_numbers),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k5_numbers),k6_xcmplx_0(k6_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k5_numbers,1),2),A)),k7_xcmplx_0(A,2))) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),D),E) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),D),k6_xcmplx_0(k6_xcmplx_0(E,k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D,1),2),A)),k7_xcmplx_0(A,2))) ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(D,1)),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(D,1)),k6_xcmplx_0(k6_xcmplx_0(F,k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k1_nat_1(D,1),1),2),A)),k7_xcmplx_0(A,2))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),D),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),D),k6_xcmplx_0(k6_xcmplx_0(G,k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D,1),2),A)),k7_xcmplx_0(A,2))) ) ) ) ) )).
fof(s2_nat_1__e3_19__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,k5_numbers) => k7_flang_1(A,k1_flang_3(A,B,C),k5_numbers) = k1_flang_3(A,B,k3_xcmplx_0(C,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(D,k5_numbers) => k7_flang_1(A,k1_flang_3(A,B,C),D) = k1_flang_3(A,B,k3_xcmplx_0(C,D)) ) => ( ~ r1_xxreal_0(k1_nat_1(D,1),k5_numbers) => k7_flang_1(A,k1_flang_3(A,B,C),k1_nat_1(D,1)) = k1_flang_3(A,B,k3_xcmplx_0(C,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,k5_numbers) => k7_flang_1(A,k1_flang_3(A,B,C),D) = k1_flang_3(A,B,k3_xcmplx_0(C,D)) ) ) ) ) )).
fof(s2_nat_1__e3_19__group_12,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_group_7(B) & v2_group_7(B,k2_finseq_1(A)) & v3_group_7(B,k2_finseq_1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( r1_xxreal_0(1,k3_finseq_1(D)) & r1_xxreal_0(k3_finseq_1(D),k5_numbers) & r1_xxreal_0(k5_numbers,A) & ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(E,k4_finseq_1(D)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,E),k1_funct_1(D,E)) ) ) & C = k3_group_4(k2_group_7(k2_finseq_1(A),B),D) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ~ ( F = k1_funct_1(D,E) & k1_funct_1(C,E) = k1_funct_1(F,E) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [I] : ( m2_finseq_1(I,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( r1_xxreal_0(1,k3_finseq_1(I)) & r1_xxreal_0(k3_finseq_1(I),G) & r1_xxreal_0(G,A) & ! [J] : ( m2_subset_1(J,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(J,k4_finseq_1(I)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,J),k1_funct_1(I,J)) ) ) & H = k3_group_4(k2_group_7(k2_finseq_1(A),B),I) ) => ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(1,J) & r1_xxreal_0(J,k3_finseq_1(I)) & ! [K] : ( m1_subset_1(K,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ~ ( K = k1_funct_1(I,J) & k1_funct_1(H,J) = k1_funct_1(K,J) ) ) ) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [M] : ( m2_finseq_1(M,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( r1_xxreal_0(1,k3_finseq_1(M)) & r1_xxreal_0(k3_finseq_1(M),k1_nat_1(G,1)) & r1_xxreal_0(k1_nat_1(G,1),A) & ! [N] : ( m2_subset_1(N,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(N,k4_finseq_1(M)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,N),k1_funct_1(M,N)) ) ) & L = k3_group_4(k2_group_7(k2_finseq_1(A),B),M) ) => ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(1,N) & r1_xxreal_0(N,k3_finseq_1(M)) & ! [O] : ( m1_subset_1(O,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ~ ( O = k1_funct_1(M,N) & k1_funct_1(L,N) = k1_funct_1(O,N) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m1_subset_1(P,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( r1_xxreal_0(1,k3_finseq_1(Q)) & r1_xxreal_0(k3_finseq_1(Q),G) & r1_xxreal_0(G,A) & ! [R] : ( m2_subset_1(R,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(R,k4_finseq_1(Q)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,R),k1_funct_1(Q,R)) ) ) & P = k3_group_4(k2_group_7(k2_finseq_1(A),B),Q) ) => ! [R] : ( v7_ordinal1(R) => ~ ( r1_xxreal_0(1,R) & r1_xxreal_0(R,k3_finseq_1(Q)) & ! [S] : ( m1_subset_1(S,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ~ ( S = k1_funct_1(Q,R) & k1_funct_1(P,R) = k1_funct_1(S,R) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_19__irrat_1,axiom,( ( v2_comseq_2(k2_irrat_1(k5_numbers)) & k1_seq_2(k2_irrat_1(k5_numbers)) = k7_xcmplx_0(1,k7_newton(k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( ( v2_comseq_2(k2_irrat_1(A)) & k1_seq_2(k2_irrat_1(A)) = k7_xcmplx_0(1,k7_newton(A)) ) => ( v2_comseq_2(k2_irrat_1(k1_nat_1(A,1))) & k1_seq_2(k2_irrat_1(k1_nat_1(A,1))) = k7_xcmplx_0(1,k7_newton(k1_nat_1(A,1))) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( v2_comseq_2(k2_irrat_1(A)) & k1_seq_2(k2_irrat_1(A)) = k7_xcmplx_0(1,k7_newton(A)) ) ) )).
fof(s2_nat_1__e3_1_4_1__mesfunc4,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) & k12_supinf_2(B,k5_numbers) = k2_supinf_1 ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(C,k3_finseq_1(A)) & k12_supinf_2(B,C) = k2_supinf_1 ) => ~ ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k12_supinf_2(B,k1_nat_1(C,1)) = k2_supinf_1 ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k3_finseq_1(A)) & k12_supinf_2(B,C) = k2_supinf_1 ) ) ) ) )).
fof(s2_nat_1__e3_1_4__normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,D,k5_numbers),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,k5_numbers)),k8_nat_1(k1_numbers,D,k5_numbers)) & r1_tarski(k8_metric_1(A,k1_normsp_0(A,C,k1_nat_1(k5_numbers,1)),k8_nat_1(k1_numbers,D,k1_nat_1(k5_numbers,1))),k8_metric_1(A,k1_normsp_0(A,C,k5_numbers),k7_xcmplx_0(k8_nat_1(k1_numbers,D,k5_numbers),2))) & k9_subset_1(u1_struct_0(A),k8_metric_1(A,k1_normsp_0(A,C,k5_numbers),k8_nat_1(k1_numbers,D,k5_numbers)),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k5_numbers)) = k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,D,E),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,E)),k8_nat_1(k1_numbers,D,E)) & r1_tarski(k8_metric_1(A,k1_normsp_0(A,C,k1_nat_1(E,1)),k8_nat_1(k1_numbers,D,k1_nat_1(E,1))),k8_metric_1(A,k1_normsp_0(A,C,E),k7_xcmplx_0(k8_nat_1(k1_numbers,D,E),2))) & k9_subset_1(u1_struct_0(A),k8_metric_1(A,k1_normsp_0(A,C,E),k8_nat_1(k1_numbers,D,E)),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E)) = k1_xboole_0 ) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,D,k1_nat_1(E,1)),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,k1_nat_1(E,1))),k8_nat_1(k1_numbers,D,k1_nat_1(E,1))) & r1_tarski(k8_metric_1(A,k1_normsp_0(A,C,k1_nat_1(k1_nat_1(E,1),1)),k8_nat_1(k1_numbers,D,k1_nat_1(k1_nat_1(E,1),1))),k8_metric_1(A,k1_normsp_0(A,C,k1_nat_1(E,1)),k7_xcmplx_0(k8_nat_1(k1_numbers,D,k1_nat_1(E,1)),2))) & k9_subset_1(u1_struct_0(A),k8_metric_1(A,k1_normsp_0(A,C,k1_nat_1(E,1)),k8_nat_1(k1_numbers,D,k1_nat_1(E,1))),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(E,1))) = k1_xboole_0 ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,D,E),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,E)),k8_nat_1(k1_numbers,D,E)) & r1_tarski(k8_metric_1(A,k1_normsp_0(A,C,k1_nat_1(E,1)),k8_nat_1(k1_numbers,D,k1_nat_1(E,1))),k8_metric_1(A,k1_normsp_0(A,C,E),k7_xcmplx_0(k8_nat_1(k1_numbers,D,E),2))) & k9_subset_1(u1_struct_0(A),k8_metric_1(A,k1_normsp_0(A,C,E),k8_nat_1(k1_numbers,D,E)),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E)) = k1_xboole_0 ) ) ) ) )).
fof(s2_nat_1__e3_1_8__normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(D) ) => ( ( r1_tarski(k8_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(k1_nat_1(D,1),k5_numbers)),k8_nat_1(k1_numbers,C,k2_xcmplx_0(k1_nat_1(D,1),k5_numbers))),k8_metric_1(A,k1_normsp_0(A,B,D),k7_xcmplx_0(k8_nat_1(k1_numbers,C,D),2))) & ! [E] : ( v7_ordinal1(E) => ( r1_tarski(k8_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(k1_nat_1(D,1),E)),k8_nat_1(k1_numbers,C,k2_xcmplx_0(k1_nat_1(D,1),E))),k8_metric_1(A,k1_normsp_0(A,B,D),k7_xcmplx_0(k8_nat_1(k1_numbers,C,D),2))) => r1_tarski(k8_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(k1_nat_1(D,1),k1_nat_1(E,1))),k8_nat_1(k1_numbers,C,k2_xcmplx_0(k1_nat_1(D,1),k1_nat_1(E,1)))),k8_metric_1(A,k1_normsp_0(A,B,D),k7_xcmplx_0(k8_nat_1(k1_numbers,C,D),2))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_tarski(k8_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(k1_nat_1(D,1),E)),k8_nat_1(k1_numbers,C,k2_xcmplx_0(k1_nat_1(D,1),E))),k8_metric_1(A,k1_normsp_0(A,B,D),k7_xcmplx_0(k8_nat_1(k1_numbers,C,D),2))) ) ) ) )).
fof(s2_nat_1__e3_1__card_4,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ ( ~ ( A = k5_numbers & k5_numbers != k5_numbers ) & k1_newton(A,k5_numbers) = k5_numbers ) & ~ ( k1_newton(A,k5_numbers) != k5_numbers & A = k5_numbers & k5_numbers != k5_numbers ) & ! [B] : ( v7_ordinal1(B) => ( ( ~ ( ~ ( A = k5_numbers & B != k5_numbers ) & k1_newton(A,B) = k5_numbers ) & ~ ( k1_newton(A,B) != k5_numbers & A = k5_numbers & B != k5_numbers ) ) => ( ~ ( ~ ( A = k5_numbers & k1_nat_1(B,1) != k5_numbers ) & k1_newton(A,k1_nat_1(B,1)) = k5_numbers ) & ~ ( k1_newton(A,k1_nat_1(B,1)) != k5_numbers & A = k5_numbers & k1_nat_1(B,1) != k5_numbers ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ~ ( ~ ( A = k5_numbers & B != k5_numbers ) & k1_newton(A,B) = k5_numbers ) & ~ ( k1_newton(A,B) != k5_numbers & A = k5_numbers & B != k5_numbers ) ) ) ) ) )).
fof(s2_nat_1__e3_1__goboard4,axiom,( ( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( k5_numbers = k1_matrix_0(A) & ~ r1_xxreal_0(k5_numbers,k5_numbers) & r1_xxreal_0(1,k3_finseq_1(B)) & r1_xxreal_0(1,k3_finseq_1(C)) & r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) & r1_goboard1(u1_struct_0(k15_euclid(2)),C,A) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,1),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_matrix_0(A)))) & k3_xboole_0(k10_xtuple_0(B),k10_xtuple_0(C)) = k1_xboole_0 ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( m2_finseq_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( m2_finseq_1(G,u1_struct_0(k15_euclid(2))) => ~ ( D = k1_matrix_0(E) & ~ r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(1,k3_finseq_1(F)) & r1_xxreal_0(1,k3_finseq_1(G)) & r1_goboard1(u1_struct_0(k15_euclid(2)),F,E) & r1_goboard1(u1_struct_0(k15_euclid(2)),G,E) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),F,1),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),E,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),F,k3_finseq_1(F)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),E,k3_finseq_1(E)))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),G,1),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),E,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),G,k3_finseq_1(G)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),E,k1_matrix_0(E)))) & k3_xboole_0(k10_xtuple_0(F),k10_xtuple_0(G)) = k1_xboole_0 ) ) ) ) => ! [H] : ( ( ~ v3_relat_1(H) & v1_matrix_0(H) & v1_goboard1(H) & v2_goboard1(H) & v3_goboard1(H) & v4_goboard1(H) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(k15_euclid(2))) => ! [J] : ( m2_finseq_1(J,u1_struct_0(k15_euclid(2))) => ~ ( k1_nat_1(D,1) = k1_matrix_0(H) & ~ r1_xxreal_0(k1_nat_1(D,1),k5_numbers) & r1_xxreal_0(1,k3_finseq_1(I)) & r1_xxreal_0(1,k3_finseq_1(J)) & r1_goboard1(u1_struct_0(k15_euclid(2)),I,H) & r1_goboard1(u1_struct_0(k15_euclid(2)),J,H) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),I,1),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),H,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),I,k3_finseq_1(I)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),H,k3_finseq_1(H)))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),J,1),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),H,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),J,k3_finseq_1(J)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),H,k1_matrix_0(H)))) & k3_xboole_0(k10_xtuple_0(I),k10_xtuple_0(J)) = k1_xboole_0 ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( ~ v3_relat_1(K) & v1_matrix_0(K) & v1_goboard1(K) & v2_goboard1(K) & v3_goboard1(K) & v4_goboard1(K) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(k15_euclid(2))) => ! [M] : ( m2_finseq_1(M,u1_struct_0(k15_euclid(2))) => ~ ( D = k1_matrix_0(K) & ~ r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(1,k3_finseq_1(L)) & r1_xxreal_0(1,k3_finseq_1(M)) & r1_goboard1(u1_struct_0(k15_euclid(2)),L,K) & r1_goboard1(u1_struct_0(k15_euclid(2)),M,K) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),L,1),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),K,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),L,k3_finseq_1(L)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),K,k3_finseq_1(K)))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),M,1),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),K,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),M,k3_finseq_1(M)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),K,k1_matrix_0(K)))) & k3_xboole_0(k10_xtuple_0(L),k10_xtuple_0(M)) = k1_xboole_0 ) ) ) ) ) )).
fof(s2_nat_1__e3_1__groeb_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( k3_finseq_1(B) = k5_numbers & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => ( r1_xxreal_0(D,C) | k1_funct_1(B,D) = k4_struct_0(A) ) ) ) ) => k4_rlvect_1(A,B) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),C,B)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( k3_finseq_1(F) = E & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k4_finseq_1(F)) => ( r1_xxreal_0(H,G) | k1_funct_1(F,H) = k4_struct_0(A) ) ) ) ) => k4_rlvect_1(A,F) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),G,F)) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r2_tarski(K,k4_finseq_1(I)) => ( r1_xxreal_0(K,J) | k1_funct_1(I,K) = k4_struct_0(A) ) ) ) ) => k4_rlvect_1(A,I) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),J,I)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( ( k3_finseq_1(L) = E & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( r2_tarski(N,k4_finseq_1(L)) => ( r1_xxreal_0(N,M) | k1_funct_1(L,N) = k4_struct_0(A) ) ) ) ) => k4_rlvect_1(A,L) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),M,L)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_1__uproots,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( ( k3_finseq_1(A) = k5_numbers & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r2_tarski(B,k4_finseq_1(A)) & k1_recdef_1(A,B) = k5_numbers ) ) ) => ( k1_wsierp_1(A) = k3_finseq_1(A) <=> A = k5_finseq_2(k4_ordinal1,k3_finseq_1(A),1) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( k3_finseq_1(D) = C & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k4_finseq_1(D)) & k1_recdef_1(D,E) = k5_numbers ) ) ) => ( k1_wsierp_1(D) = k3_finseq_1(D) <=> D = k5_finseq_2(k4_ordinal1,k3_finseq_1(D),1) ) ) ) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( r2_tarski(G,k4_finseq_1(F)) & k1_recdef_1(F,G) = k5_numbers ) ) ) => ( k1_wsierp_1(F) = k3_finseq_1(F) <=> F = k5_finseq_2(k4_ordinal1,k3_finseq_1(F),1) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ( ( k3_finseq_1(H) = C & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(H)) & k1_recdef_1(H,I) = k5_numbers ) ) ) => ( k1_wsierp_1(H) = k3_finseq_1(H) <=> H = k5_finseq_2(k4_ordinal1,k3_finseq_1(H),1) ) ) ) ) )).
fof(s2_nat_1__e3_20_1_2_1__pdiff_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & m2_finseq_1(C,k1_euclid(A)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)))) ) => k1_funct_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)),k5_numbers) = k1_funct_1(k4_euclid_7(A,C),k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)))) ) => k1_funct_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)),D) = k1_funct_1(k4_euclid_7(A,C),D) ) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)))) ) => k1_funct_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)),k1_nat_1(D,1)) = k1_funct_1(k4_euclid_7(A,C),k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)))) ) => k1_funct_1(k17_finseq_1(k1_euclid(A),k3_finseq_1(C),k4_euclid_7(A,B)),D) = k1_funct_1(k4_euclid_7(A,C),D) ) ) ) ) )).
fof(s2_nat_1__e3_20_2__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k5_numbers,1)),G) = k4_struct_0(D) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),I) = k4_struct_0(D) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k1_nat_1(H,1),1)),J) = k4_struct_0(D) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),K) = k4_struct_0(D) ) ) ) ) )).
fof(s2_nat_1__e3_20_5__goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & v1_qc_trans(C,A) & m1_qc_lang1(C) ) => ( ( v1_henmodel(k6_goedcpuc(A,B,k5_numbers),k5_goedcpuc(A,k5_numbers)) & v2_qc_trans(k6_goedcpuc(A,B,k5_numbers),k5_goedcpuc(A,k5_numbers),C) & ! [D] : ( v7_ordinal1(D) => ( ( v1_henmodel(k6_goedcpuc(A,B,D),k5_goedcpuc(A,D)) & v2_qc_trans(k6_goedcpuc(A,B,D),k5_goedcpuc(A,D),C) ) => ( v1_henmodel(k6_goedcpuc(A,B,k1_nat_1(D,1)),k5_goedcpuc(A,k1_nat_1(D,1))) & v2_qc_trans(k6_goedcpuc(A,B,k1_nat_1(D,1)),k5_goedcpuc(A,k1_nat_1(D,1)),C) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( v1_henmodel(k6_goedcpuc(A,B,D),k5_goedcpuc(A,D)) & v2_qc_trans(k6_goedcpuc(A,B,D),k5_goedcpuc(A,D),C) ) ) ) ) )).
fof(s2_nat_1__e3_210__scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ( ( k2_scmyciel(k1_funct_1(k13_scmyciel(A),k5_numbers)) = k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,k5_numbers),k2_scmyciel(A)),k1_newton(2,k5_numbers)),1) & ! [B] : ( v7_ordinal1(B) => ( k2_scmyciel(k1_funct_1(k13_scmyciel(A),B)) = k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,B),k2_scmyciel(A)),k1_newton(2,B)),1) => k2_scmyciel(k1_funct_1(k13_scmyciel(A),k1_nat_1(B,1))) = k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,k1_nat_1(B,1)),k2_scmyciel(A)),k1_newton(2,k1_nat_1(B,1))),1) ) ) ) => ! [B] : ( v7_ordinal1(B) => k2_scmyciel(k1_funct_1(k13_scmyciel(A),B)) = k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,B),k2_scmyciel(A)),k1_newton(2,B)),1) ) ) ) )).
fof(s2_nat_1__e3_211__scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ( ( k3_scmyciel(k1_funct_1(k13_scmyciel(A),k5_numbers)) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(3,k5_numbers),k3_scmyciel(A)),k3_xcmplx_0(k6_xcmplx_0(k1_newton(3,k5_numbers),k1_newton(2,k5_numbers)),k2_scmyciel(A))),k3_stirl2_1(k1_nat_1(k5_numbers,1),3)) & ! [B] : ( v7_ordinal1(B) => ( k3_scmyciel(k1_funct_1(k13_scmyciel(A),B)) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(3,B),k3_scmyciel(A)),k3_xcmplx_0(k6_xcmplx_0(k1_newton(3,B),k1_newton(2,B)),k2_scmyciel(A))),k3_stirl2_1(k1_nat_1(B,1),3)) => k3_scmyciel(k1_funct_1(k13_scmyciel(A),k1_nat_1(B,1))) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(3,k1_nat_1(B,1)),k3_scmyciel(A)),k3_xcmplx_0(k6_xcmplx_0(k1_newton(3,k1_nat_1(B,1)),k1_newton(2,k1_nat_1(B,1))),k2_scmyciel(A))),k3_stirl2_1(k1_nat_1(k1_nat_1(B,1),1),3)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k3_scmyciel(k1_funct_1(k13_scmyciel(A),B)) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(3,B),k3_scmyciel(A)),k3_xcmplx_0(k6_xcmplx_0(k1_newton(3,B),k1_newton(2,B)),k2_scmyciel(A))),k3_stirl2_1(k1_nat_1(B,1),3)) ) ) ) )).
fof(s2_nat_1__e3_21__hfdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ( r1_taylor_1(C,k5_numbers,B) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,B),k5_numbers),A)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_taylor_1(C,D,B) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B),D),k26_valued_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,B),D),A)) ) => ( r1_taylor_1(C,k1_nat_1(D,1),B) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B),k1_nat_1(D,1)),k26_valued_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,B),k1_nat_1(D,1)),A)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_taylor_1(C,D,B) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B),D),k26_valued_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,B),D),A)) ) ) ) ) )).
fof(s2_nat_1__e3_21__pdiff_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & v1_pdiff_6(C,A,B) & v2_pdiff_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ( ( ! [D] : ( m2_finseq_1(D,k1_euclid(B)) => ! [E] : ( m2_finseq_1(E,k1_euclid(A)) => ( ( k5_numbers = k3_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => k1_funct_1(E,F) = k1_funct_1(C,k1_funct_1(D,F)) ) ) ) => k5_euclid_7(A,E) = k3_funct_2(k1_euclid(B),k1_euclid(A),C,k5_euclid_7(B,D)) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,k1_euclid(B)) => ! [I] : ( m2_finseq_1(I,k1_euclid(A)) => ( ( G = k3_finseq_1(H) & k3_finseq_1(H) = k3_finseq_1(I) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(H)) => k1_funct_1(I,J) = k1_funct_1(C,k1_funct_1(H,J)) ) ) ) => k5_euclid_7(A,I) = k3_funct_2(k1_euclid(B),k1_euclid(A),C,k5_euclid_7(B,H)) ) ) ) => ! [K] : ( m2_finseq_1(K,k1_euclid(B)) => ! [L] : ( m2_finseq_1(L,k1_euclid(A)) => ( ( k1_nat_1(G,1) = k3_finseq_1(K) & k3_finseq_1(K) = k3_finseq_1(L) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(K)) => k1_funct_1(L,M) = k1_funct_1(C,k1_funct_1(K,M)) ) ) ) => k5_euclid_7(A,L) = k3_funct_2(k1_euclid(B),k1_euclid(A),C,k5_euclid_7(B,K)) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m2_finseq_1(N,k1_euclid(B)) => ! [O] : ( m2_finseq_1(O,k1_euclid(A)) => ( ( G = k3_finseq_1(N) & k3_finseq_1(N) = k3_finseq_1(O) & ! [P] : ( v7_ordinal1(P) => ( r2_tarski(P,k4_finseq_1(N)) => k1_funct_1(O,P) = k1_funct_1(C,k1_funct_1(N,P)) ) ) ) => k5_euclid_7(A,O) = k3_funct_2(k1_euclid(B),k1_euclid(A),C,k5_euclid_7(B,N)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_21__scmp_gcd,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & r1_tarski(k4_scmp_gcd,B) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) = 5 & ~ r1_xxreal_0(k1_funct_1(C,k3_scmp_gcd),k5_numbers) & k1_funct_1(C,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)),k5_numbers) & r1_xxreal_0(k5_numbers,k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)),k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),2))) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,D) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) & k1_funct_1(D,k3_scmp_gcd) = k1_funct_1(C,k3_scmp_gcd) & k1_funct_1(D,k2_scmp_gcd) = k5_numbers & k1_funct_1(D,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),2)) = k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),2)) & k1_funct_1(D,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)) = k1_funct_1(C,k2_scmpds_2(k1_funct_1(C,k3_scmp_gcd),3)) & ! [E] : ( v7_ordinal1(E) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(C,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E),k3_scmp_gcd) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,E)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(D,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,E),k3_scmp_gcd) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k2_xcmplx_0(k1_funct_1(C,k3_scmp_gcd),1)) => ( r1_xxreal_0(F,1) | ( k1_funct_1(C,k1_scmp_gcd(F)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E),k1_scmp_gcd(F)) & k1_funct_1(D,k1_scmp_gcd(F)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,E),k1_scmp_gcd(F)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_xxreal_0(F,E) & k1_funct_1(C,G) = k1_funct_1(D,G) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,F)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,F),G) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,F),G) ) ) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & r1_tarski(k4_scmp_gcd,B) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,I) = 5 & ~ r1_xxreal_0(k1_funct_1(I,k3_scmp_gcd),k5_numbers) & k1_funct_1(I,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3)),H) & r1_xxreal_0(k5_numbers,k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3)),k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),2))) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,J) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,I) & k1_funct_1(J,k3_scmp_gcd) = k1_funct_1(I,k3_scmp_gcd) & k1_funct_1(J,k2_scmp_gcd) = k5_numbers & k1_funct_1(J,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),2)) = k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),2)) & k1_funct_1(J,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3)) = k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3)) & ! [K] : ( v7_ordinal1(K) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,K)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(I,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,K),k3_scmp_gcd) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,J,K)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(J,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,J,K),k3_scmp_gcd) & ! [L] : ( v7_ordinal1(L) => ( r1_xxreal_0(L,k2_xcmplx_0(k1_funct_1(I,k3_scmp_gcd),1)) => ( r1_xxreal_0(L,1) | ( k1_funct_1(I,k1_scmp_gcd(L)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,K),k1_scmp_gcd(L)) & k1_funct_1(J,k1_scmp_gcd(L)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,J,K),k1_scmp_gcd(L)) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v1_ami_2(M) & m1_subset_1(M,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_xxreal_0(L,K) & k1_funct_1(I,M) = k1_funct_1(J,M) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,L)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,J,L)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,L),M) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,J,L),M) ) ) ) ) ) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & r1_tarski(k4_scmp_gcd,B) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,N) = 5 & ~ r1_xxreal_0(k1_funct_1(N,k3_scmp_gcd),k5_numbers) & k1_funct_1(N,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(N,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),3)),k1_nat_1(H,1)) & r1_xxreal_0(k5_numbers,k1_funct_1(N,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(N,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),3)),k1_funct_1(N,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),2))) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,O) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,N) & k1_funct_1(O,k3_scmp_gcd) = k1_funct_1(N,k3_scmp_gcd) & k1_funct_1(O,k2_scmp_gcd) = k5_numbers & k1_funct_1(O,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),2)) = k1_funct_1(N,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),2)) & k1_funct_1(O,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),3)) = k1_funct_1(N,k2_scmpds_2(k1_funct_1(N,k3_scmp_gcd),3)) & ! [P] : ( v7_ordinal1(P) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,N,P)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(N,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,N,P),k3_scmp_gcd) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,O,P)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(O,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,O,P),k3_scmp_gcd) & ! [Q] : ( v7_ordinal1(Q) => ( r1_xxreal_0(Q,k2_xcmplx_0(k1_funct_1(N,k3_scmp_gcd),1)) => ( r1_xxreal_0(Q,1) | ( k1_funct_1(N,k1_scmp_gcd(Q)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,N,P),k1_scmp_gcd(Q)) & k1_funct_1(O,k1_scmp_gcd(Q)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,O,P),k1_scmp_gcd(Q)) ) ) ) ) & ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( ( v1_ami_2(R) & m1_subset_1(R,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_xxreal_0(Q,P) & k1_funct_1(N,R) = k1_funct_1(O,R) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,N,Q)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,O,Q)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,N,Q),R) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,O,Q),R) ) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [S] : ( ( v1_relat_1(S) & v4_relat_1(S,u1_struct_0(k1_scmpds_2)) & v1_funct_1(S) & v5_funct_1(S,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(S,u1_struct_0(k1_scmpds_2)) ) => ! [T] : ( ( v1_relat_1(T) & v4_relat_1(T,u1_struct_0(k1_scmpds_2)) & v1_funct_1(T) & v5_funct_1(T,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(T,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & r1_tarski(k4_scmp_gcd,B) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,S) = 5 & ~ r1_xxreal_0(k1_funct_1(S,k3_scmp_gcd),k5_numbers) & k1_funct_1(S,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(S,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),3)),H) & r1_xxreal_0(k5_numbers,k1_funct_1(S,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(S,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),3)),k1_funct_1(S,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),2))) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,T) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,S) & k1_funct_1(T,k3_scmp_gcd) = k1_funct_1(S,k3_scmp_gcd) & k1_funct_1(T,k2_scmp_gcd) = k5_numbers & k1_funct_1(T,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),2)) = k1_funct_1(S,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),2)) & k1_funct_1(T,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),3)) = k1_funct_1(S,k2_scmpds_2(k1_funct_1(S,k3_scmp_gcd),3)) & ! [U] : ( v7_ordinal1(U) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,S,U)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(S,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,S,U),k3_scmp_gcd) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,T,U)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(T,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,T,U),k3_scmp_gcd) & ! [V] : ( v7_ordinal1(V) => ( r1_xxreal_0(V,k2_xcmplx_0(k1_funct_1(S,k3_scmp_gcd),1)) => ( r1_xxreal_0(V,1) | ( k1_funct_1(S,k1_scmp_gcd(V)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,S,U),k1_scmp_gcd(V)) & k1_funct_1(T,k1_scmp_gcd(V)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,T,U),k1_scmp_gcd(V)) ) ) ) ) & ! [V] : ( v7_ordinal1(V) => ! [W] : ( ( v1_ami_2(W) & m1_subset_1(W,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_xxreal_0(V,U) & k1_funct_1(S,W) = k1_funct_1(T,W) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,S,V)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,T,V)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,S,V),W) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,T,V),W) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_21__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(B)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(k5_numbers,1)),H) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(I,1)),J) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(k1_nat_1(I,1),1)),K) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(I,1)),L) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e3_22_1__pythtrip,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( ? [B] : ( m1_subset_1(B,k4_ordinal1) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_xxreal_0(B,C) & r2_tarski(C,k7_relat_1(A,k5_numbers)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( m1_subset_1(E,k4_ordinal1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(E,F) & r2_tarski(F,k7_relat_1(A,D)) ) ) ) => ? [G] : ( m1_subset_1(G,k4_ordinal1) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r1_xxreal_0(G,H) & r2_tarski(H,k7_relat_1(A,k1_nat_1(D,1))) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r1_xxreal_0(I,J) & r2_tarski(J,k7_relat_1(A,D)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_22__pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k5_numbers = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ~ ( E = k1_funct_1(B,D) & k1_funct_1(C,D) = k12_euclid(E) ) ) ) ) ) => r1_xxreal_0(k12_euclid(k5_euclid_7(A,B)),k18_rvsum_1(C)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,k1_euclid(A)) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ( ( F = k3_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(H) & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(G)) & ! [J] : ( m2_finseq_2(J,k1_numbers,k1_euclid(A)) => ~ ( J = k1_funct_1(G,I) & k1_funct_1(H,I) = k12_euclid(J) ) ) ) ) ) => r1_xxreal_0(k12_euclid(k5_euclid_7(A,G)),k18_rvsum_1(H)) ) ) ) => ! [K] : ( m2_finseq_1(K,k1_euclid(A)) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k1_nat_1(F,1) = k3_finseq_1(K) & k3_finseq_1(K) = k3_finseq_1(L) & ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k4_finseq_1(K)) & ! [N] : ( m2_finseq_2(N,k1_numbers,k1_euclid(A)) => ~ ( N = k1_funct_1(K,M) & k1_funct_1(L,M) = k12_euclid(N) ) ) ) ) ) => r1_xxreal_0(k12_euclid(k5_euclid_7(A,K)),k18_rvsum_1(L)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,k1_euclid(A)) => ! [P] : ( m2_finseq_1(P,k1_numbers) => ( ( F = k3_finseq_1(O) & k3_finseq_1(O) = k3_finseq_1(P) & ! [Q] : ( v7_ordinal1(Q) => ~ ( r2_tarski(Q,k4_finseq_1(O)) & ! [R] : ( m2_finseq_2(R,k1_numbers,k1_euclid(A)) => ~ ( R = k1_funct_1(O,Q) & k1_funct_1(P,Q) = k12_euclid(R) ) ) ) ) ) => r1_xxreal_0(k12_euclid(k5_euclid_7(A,O)),k18_rvsum_1(P)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_22__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & l1_turing_1(B) & m1_subset_1(C,k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)))) ) => ( ( k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,k5_numbers)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A)),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,D)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A)),D) => k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,k1_nat_1(D,1))) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A)),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,D)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A)),D) ) ) ) )).
fof(s2_nat_1__e3_22__vectsp_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( k4_card_1(D) = C & k4_card_1(E) = k5_numbers & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,D) & v1_vectsp_7(E,A,B) ) => ( r1_xxreal_0(k5_numbers,C) & ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(F,D) & k4_card_1(F) = k6_xcmplx_0(C,k5_numbers) & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),E,F)) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(B))) ) => ! [J] : ( ( v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( k4_card_1(I) = H & k4_card_1(J) = G & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,I) & v1_vectsp_7(J,A,B) ) => ( r1_xxreal_0(G,H) & ? [K] : ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(K,I) & k4_card_1(K) = k6_xcmplx_0(H,G) & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),J,K)) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v1_finset_1(M) & m1_subset_1(M,k1_zfmisc_1(u1_struct_0(B))) ) => ! [N] : ( ( v1_finset_1(N) & m1_subset_1(N,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( k4_card_1(M) = L & k4_card_1(N) = k1_nat_1(G,1) & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,M) & v1_vectsp_7(N,A,B) ) => ( r1_xxreal_0(k1_nat_1(G,1),L) & ? [O] : ( v1_finset_1(O) & m1_subset_1(O,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(O,M) & k4_card_1(O) = k6_xcmplx_0(L,k1_nat_1(G,1)) & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),N,O)) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( ( v1_finset_1(Q) & m1_subset_1(Q,k1_zfmisc_1(u1_struct_0(B))) ) => ! [R] : ( ( v1_finset_1(R) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( k4_card_1(Q) = P & k4_card_1(R) = G & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,Q) & v1_vectsp_7(R,A,B) ) => ( r1_xxreal_0(G,P) & ? [S] : ( v1_finset_1(S) & m1_subset_1(S,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(S,Q) & k4_card_1(S) = k6_xcmplx_0(P,G) & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),R,S)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_23_1__measure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( r1_tarski(k1_funct_1(B,k5_numbers),k1_funct_1(A,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k1_funct_1(B,C),k1_funct_1(A,C)) => r1_tarski(k1_funct_1(B,k1_nat_1(C,1)),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) ) )).
fof(s2_nat_1__e3_23__group_18,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k7_group_1(A) = k1_newton(B,k5_numbers) & k6_group_1(A,C) = k2_seq_4(k1_group_18(A)) & ! [D] : ( ( v15_algstr_0(D) & v1_group_3(D,A) & m1_group_2(D,A) ) => ~ ( k3_xboole_0(u1_struct_0(D),u1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),C)))) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r1_struct_0(D,F) & r1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),C)),G) & E = k8_group_1(A,F,G) ) ) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( ~ v2_struct_0(I) & v8_struct_0(I) & v15_algstr_0(I) & v2_group_1(I) & v3_group_1(I) & v5_group_1(I) & l3_algstr_0(I) ) => ! [J] : ( ( v7_ordinal1(J) & v1_int_2(J) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(I)) => ~ ( k7_group_1(I) = k1_newton(J,H) & k6_group_1(I,K) = k2_seq_4(k1_group_18(I)) & ! [L] : ( ( v15_algstr_0(L) & v1_group_3(L,I) & m1_group_2(L,I) ) => ~ ( k3_xboole_0(u1_struct_0(L),u1_struct_0(k5_group_4(I,k6_domain_1(u1_struct_0(I),K)))) = k6_domain_1(u1_struct_0(I),k1_group_1(I)) & ! [M] : ( m1_subset_1(M,u1_struct_0(I)) => ? [N] : ( m1_subset_1(N,u1_struct_0(I)) & ? [O] : ( m1_subset_1(O,u1_struct_0(I)) & r1_struct_0(L,N) & r1_struct_0(k5_group_4(I,k6_domain_1(u1_struct_0(I),K)),O) & M = k8_group_1(I,N,O) ) ) ) ) ) ) ) ) ) => ! [P] : ( ( ~ v2_struct_0(P) & v8_struct_0(P) & v15_algstr_0(P) & v2_group_1(P) & v3_group_1(P) & v5_group_1(P) & l3_algstr_0(P) ) => ! [Q] : ( ( v7_ordinal1(Q) & v1_int_2(Q) ) => ! [R] : ( m1_subset_1(R,u1_struct_0(P)) => ~ ( k7_group_1(P) = k1_newton(Q,k1_nat_1(H,1)) & k6_group_1(P,R) = k2_seq_4(k1_group_18(P)) & ! [S] : ( ( v15_algstr_0(S) & v1_group_3(S,P) & m1_group_2(S,P) ) => ~ ( k3_xboole_0(u1_struct_0(S),u1_struct_0(k5_group_4(P,k6_domain_1(u1_struct_0(P),R)))) = k6_domain_1(u1_struct_0(P),k1_group_1(P)) & ! [T] : ( m1_subset_1(T,u1_struct_0(P)) => ? [U] : ( m1_subset_1(U,u1_struct_0(P)) & ? [V] : ( m1_subset_1(V,u1_struct_0(P)) & r1_struct_0(S,U) & r1_struct_0(k5_group_4(P,k6_domain_1(u1_struct_0(P),R)),V) & T = k8_group_1(P,U,V) ) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [W] : ( ( ~ v2_struct_0(W) & v8_struct_0(W) & v15_algstr_0(W) & v2_group_1(W) & v3_group_1(W) & v5_group_1(W) & l3_algstr_0(W) ) => ! [X] : ( ( v7_ordinal1(X) & v1_int_2(X) ) => ! [Y] : ( m1_subset_1(Y,u1_struct_0(W)) => ~ ( k7_group_1(W) = k1_newton(X,H) & k6_group_1(W,Y) = k2_seq_4(k1_group_18(W)) & ! [Z] : ( ( v15_algstr_0(Z) & v1_group_3(Z,W) & m1_group_2(Z,W) ) => ~ ( k3_xboole_0(u1_struct_0(Z),u1_struct_0(k5_group_4(W,k6_domain_1(u1_struct_0(W),Y)))) = k6_domain_1(u1_struct_0(W),k1_group_1(W)) & ! [A1] : ( m1_subset_1(A1,u1_struct_0(W)) => ? [B1] : ( m1_subset_1(B1,u1_struct_0(W)) & ? [C1] : ( m1_subset_1(C1,u1_struct_0(W)) & r1_struct_0(Z,B1) & r1_struct_0(k5_group_4(W,k6_domain_1(u1_struct_0(W),Y)),C1) & A1 = k8_group_1(W,B1,C1) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_23__matrix11,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(k10_matrix_1(k1_nat_1(A,2)))) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(k1_nat_1(A,2))) => ( ( D = k3_group_4(k10_matrix_1(k1_nat_1(A,2)),C) & k3_finseq_1(C) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ( m1_matrix_1(F,k9_matrix_1(k1_nat_1(A,2))) => ~ ( k1_funct_1(C,E) = F & v5_matrix_1(F,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) ) ) ) ) => ( ( k4_nat_d(k3_finseq_1(C),2) = k5_numbers => k2_matrix11(A,B,D) = k1_group_1(B) ) & ( k4_nat_d(k3_finseq_1(C),2) = 1 => k2_matrix11(A,B,D) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(k10_matrix_1(k1_nat_1(A,2)))) => ! [I] : ( m1_matrix_1(I,k9_matrix_1(k1_nat_1(A,2))) => ( ( I = k3_group_4(k10_matrix_1(k1_nat_1(A,2)),H) & k3_finseq_1(H) = G & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(H)) & ! [K] : ( m1_matrix_1(K,k9_matrix_1(k1_nat_1(A,2))) => ~ ( k1_funct_1(H,J) = K & v5_matrix_1(K,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) ) ) ) ) => ( ( k4_nat_d(k3_finseq_1(H),2) = k5_numbers => k2_matrix11(A,B,I) = k1_group_1(B) ) & ( k4_nat_d(k3_finseq_1(H),2) = 1 => k2_matrix11(A,B,I) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(k10_matrix_1(k1_nat_1(A,2)))) => ! [M] : ( m1_matrix_1(M,k9_matrix_1(k1_nat_1(A,2))) => ( ( M = k3_group_4(k10_matrix_1(k1_nat_1(A,2)),L) & k3_finseq_1(L) = k1_nat_1(G,1) & ! [N] : ( v7_ordinal1(N) => ~ ( r2_tarski(N,k4_finseq_1(L)) & ! [O] : ( m1_matrix_1(O,k9_matrix_1(k1_nat_1(A,2))) => ~ ( k1_funct_1(L,N) = O & v5_matrix_1(O,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) ) ) ) ) => ( ( k4_nat_d(k3_finseq_1(L),2) = k5_numbers => k2_matrix11(A,B,M) = k1_group_1(B) ) & ( k4_nat_d(k3_finseq_1(L),2) = 1 => k2_matrix11(A,B,M) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(k10_matrix_1(k1_nat_1(A,2)))) => ! [Q] : ( m1_matrix_1(Q,k9_matrix_1(k1_nat_1(A,2))) => ( ( Q = k3_group_4(k10_matrix_1(k1_nat_1(A,2)),P) & k3_finseq_1(P) = G & ! [R] : ( v7_ordinal1(R) => ~ ( r2_tarski(R,k4_finseq_1(P)) & ! [S] : ( m1_matrix_1(S,k9_matrix_1(k1_nat_1(A,2))) => ~ ( k1_funct_1(P,R) = S & v5_matrix_1(S,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) ) ) ) ) => ( ( k4_nat_d(k3_finseq_1(P),2) = k5_numbers => k2_matrix11(A,B,Q) = k1_group_1(B) ) & ( k4_nat_d(k3_finseq_1(P),2) = 1 => k2_matrix11(A,B,Q) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_23__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ( k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(k5_numbers,1)) = k5_numbers => k8_nat_1(k4_ordinal1,k1_real_3(B,A),k5_numbers) = k5_numbers ) & ! [C] : ( v7_ordinal1(C) => ( ( k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(C,1)) = k5_numbers => k8_nat_1(k4_ordinal1,k1_real_3(B,A),C) = k5_numbers ) => ( k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(k1_nat_1(C,1),1)) = k5_numbers => k8_nat_1(k4_ordinal1,k1_real_3(B,A),k1_nat_1(C,1)) = k5_numbers ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(C,1)) = k5_numbers => k8_nat_1(k4_ordinal1,k1_real_3(B,A),C) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e3_23__rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(C) = B & k4_card_1(D) = k5_numbers & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,C) & v1_rlvect_3(D,A) ) => ( r1_xxreal_0(k5_numbers,B) & ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(E,C) & k4_card_1(E) = k6_xcmplx_0(B,k5_numbers) & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),D,E)) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) ) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(H) = G & k4_card_1(I) = F & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,H) & v1_rlvect_3(I,A) ) => ( r1_xxreal_0(F,G) & ? [J] : ( v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(J,H) & k4_card_1(J) = k6_xcmplx_0(G,F) & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),I,J)) ) ) ) ) ) ) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) ) => ! [M] : ( ( v1_finset_1(M) & m1_subset_1(M,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(L) = K & k4_card_1(M) = k1_nat_1(F,1) & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,L) & v1_rlvect_3(M,A) ) => ( r1_xxreal_0(k1_nat_1(F,1),K) & ? [N] : ( v1_finset_1(N) & m1_subset_1(N,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(N,L) & k4_card_1(N) = k6_xcmplx_0(K,k1_nat_1(F,1)) & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),M,N)) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m1_subset_1(O,k4_ordinal1) => ! [P] : ( ( v1_finset_1(P) & m1_subset_1(P,k1_zfmisc_1(u1_struct_0(A))) ) => ! [Q] : ( ( v1_finset_1(Q) & m1_subset_1(Q,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(P) = O & k4_card_1(Q) = F & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,P) & v1_rlvect_3(Q,A) ) => ( r1_xxreal_0(F,O) & ? [R] : ( v1_finset_1(R) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(R,P) & k4_card_1(R) = k6_xcmplx_0(O,F) & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),Q,R)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_23__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(G,u1_struct_0(C)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k5_numbers,1)),H) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k5_numbers,1)),H),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),J) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),J),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k1_nat_1(I,1),1)),K) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k1_nat_1(I,1),1)),K),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),L) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),L),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e3_24__asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(B,k5_numbers) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) ) => r1_xxreal_0(k5_numbers,k6_series_1(A,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,C) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,D)) ) ) => r1_xxreal_0(k5_numbers,k6_series_1(A,C)) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k1_nat_1(C,1)) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,E)) ) ) => r1_xxreal_0(k5_numbers,k6_series_1(A,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,C) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,F)) ) ) => r1_xxreal_0(k5_numbers,k6_series_1(A,C)) ) ) ) ) )).
fof(s2_nat_1__e3_24__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k5_numbers)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k5_numbers),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(C,1))) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(C,1)),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(C,1)),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) )).
fof(s2_nat_1__e3_24__extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & l1_extpro_1(C,B) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(B,C)) & v1_partfun1(D,u1_struct_0(C)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(C)) & v1_funct_1(E) ) => ( ( k5_extpro_1(B,C,E,D,k2_xcmplx_0(A,k5_numbers)) = k5_extpro_1(B,C,E,k5_extpro_1(B,C,E,D,A),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( k5_extpro_1(B,C,E,D,k2_xcmplx_0(A,F)) = k5_extpro_1(B,C,E,k5_extpro_1(B,C,E,D,A),F) => k5_extpro_1(B,C,E,D,k2_xcmplx_0(A,k1_nat_1(F,1))) = k5_extpro_1(B,C,E,k5_extpro_1(B,C,E,D,A),k1_nat_1(F,1)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k5_extpro_1(B,C,E,D,k2_xcmplx_0(A,F)) = k5_extpro_1(B,C,E,k5_extpro_1(B,C,E,D,A),F) ) ) ) )).
fof(s2_nat_1__e3_24__finance1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( m2_subset_1(k1_funct_1(k1_prob_3(k1_numbers,k2_finance1(A,B)),k5_numbers),k1_zfmisc_1(k1_numbers),k12_prob_1) & ! [C] : ( v7_ordinal1(C) => ( m2_subset_1(k1_funct_1(k1_prob_3(k1_numbers,k2_finance1(A,B)),C),k1_zfmisc_1(k1_numbers),k12_prob_1) => m2_subset_1(k1_funct_1(k1_prob_3(k1_numbers,k2_finance1(A,B)),k1_nat_1(C,1)),k1_zfmisc_1(k1_numbers),k12_prob_1) ) ) ) => ! [C] : ( v7_ordinal1(C) => m2_subset_1(k1_funct_1(k1_prob_3(k1_numbers,k2_finance1(A,B)),C),k1_zfmisc_1(k1_numbers),k12_prob_1) ) ) ) )).
fof(s2_nat_1__e3_24__numpoly1,axiom,( ( k2_xcmplx_0(k1_numpoly1(k5_numbers),k2_xcmplx_0(k5_numbers,1)) = k1_numpoly1(k2_xcmplx_0(k5_numbers,1)) & ! [A] : ( v7_ordinal1(A) => ( k2_xcmplx_0(k1_numpoly1(A),k2_xcmplx_0(A,1)) = k1_numpoly1(k2_xcmplx_0(A,1)) => k2_xcmplx_0(k1_numpoly1(k1_nat_1(A,1)),k2_xcmplx_0(k1_nat_1(A,1),1)) = k1_numpoly1(k2_xcmplx_0(k1_nat_1(A,1),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k2_xcmplx_0(k1_numpoly1(A),k2_xcmplx_0(A,1)) = k1_numpoly1(k2_xcmplx_0(A,1)) ) )).
fof(s2_nat_1__e3_24__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ( k8_nat_1(k4_ordinal1,k1_real_3(B,A),k5_numbers) = k5_numbers => k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(k5_numbers,1)) = k5_numbers ) & ! [C] : ( v7_ordinal1(C) => ( ( k8_nat_1(k4_ordinal1,k1_real_3(B,A),C) = k5_numbers => k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(C,1)) = k5_numbers ) => ( k8_nat_1(k4_ordinal1,k1_real_3(B,A),k1_nat_1(C,1)) = k5_numbers => k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(k1_nat_1(C,1),1)) = k5_numbers ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k4_ordinal1,k1_real_3(B,A),C) = k5_numbers => k8_nat_1(k4_ordinal1,k2_real_3(B,A),k1_nat_1(C,1)) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e3_25_1__pencil_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ( ! [C] : ( ( ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) ) => ! [D] : ( ( ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) ) => ~ ( k3_pencil_1(A,C) = k3_pencil_1(A,D) & m1_pencil_2(k4_card_3(C),A,B) & m1_pencil_2(k4_card_3(D),A,B) & r1_subset_1(k4_card_3(C),k4_card_3(D)) & k1_pencil_3(A,C,D) = k5_numbers & ! [E] : ( m2_finseq_1(E,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ~ ( k1_funct_1(E,1) = k4_card_3(C) & k1_funct_1(E,k3_finseq_1(E)) = k4_card_3(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => m1_pencil_2(k1_funct_1(E,F),A,B) ) ) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | ! [G] : ( m1_pencil_2(G,A,B) => ! [H] : ( m1_pencil_2(H,A,B) => ( ( G = k1_funct_1(E,F) & H = k1_funct_1(E,k1_nat_1(F,1)) ) => ( r1_xboole_0(G,H) & r1_pencil_3(A,B,G,H) ) ) ) ) ) ) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( ( ~ v13_pencil_1(J) & v16_pencil_1(J,A) & m3_pboole(J,A,k12_pralg_1(A,B)) ) => ! [K] : ( ( ~ v13_pencil_1(K) & v16_pencil_1(K,A) & m3_pboole(K,A,k12_pralg_1(A,B)) ) => ~ ( k3_pencil_1(A,J) = k3_pencil_1(A,K) & m1_pencil_2(k4_card_3(J),A,B) & m1_pencil_2(k4_card_3(K),A,B) & r1_subset_1(k4_card_3(J),k4_card_3(K)) & k1_pencil_3(A,J,K) = I & ! [L] : ( m2_finseq_1(L,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ~ ( k1_funct_1(L,1) = k4_card_3(J) & k1_funct_1(L,k3_finseq_1(L)) = k4_card_3(K) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(L)) => m1_pencil_2(k1_funct_1(L,M),A,B) ) ) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(1,M) => ( r1_xxreal_0(k3_finseq_1(L),M) | ! [N] : ( m1_pencil_2(N,A,B) => ! [O] : ( m1_pencil_2(O,A,B) => ( ( N = k1_funct_1(L,M) & O = k1_funct_1(L,k1_nat_1(M,1)) ) => ( r1_xboole_0(N,O) & r1_pencil_3(A,B,N,O) ) ) ) ) ) ) ) ) ) ) ) ) => ! [P] : ( ( ~ v13_pencil_1(P) & v16_pencil_1(P,A) & m3_pboole(P,A,k12_pralg_1(A,B)) ) => ! [Q] : ( ( ~ v13_pencil_1(Q) & v16_pencil_1(Q,A) & m3_pboole(Q,A,k12_pralg_1(A,B)) ) => ~ ( k3_pencil_1(A,P) = k3_pencil_1(A,Q) & m1_pencil_2(k4_card_3(P),A,B) & m1_pencil_2(k4_card_3(Q),A,B) & r1_subset_1(k4_card_3(P),k4_card_3(Q)) & k1_pencil_3(A,P,Q) = k1_nat_1(I,1) & ! [R] : ( m2_finseq_1(R,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ~ ( k1_funct_1(R,1) = k4_card_3(P) & k1_funct_1(R,k3_finseq_1(R)) = k4_card_3(Q) & ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k4_finseq_1(R)) => m1_pencil_2(k1_funct_1(R,S),A,B) ) ) & ! [S] : ( v7_ordinal1(S) => ( r1_xxreal_0(1,S) => ( r1_xxreal_0(k3_finseq_1(R),S) | ! [T] : ( m1_pencil_2(T,A,B) => ! [U] : ( m1_pencil_2(U,A,B) => ( ( T = k1_funct_1(R,S) & U = k1_funct_1(R,k1_nat_1(S,1)) ) => ( r1_xboole_0(T,U) & r1_pencil_3(A,B,T,U) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [V] : ( ( ~ v13_pencil_1(V) & v16_pencil_1(V,A) & m3_pboole(V,A,k12_pralg_1(A,B)) ) => ! [W] : ( ( ~ v13_pencil_1(W) & v16_pencil_1(W,A) & m3_pboole(W,A,k12_pralg_1(A,B)) ) => ~ ( k3_pencil_1(A,V) = k3_pencil_1(A,W) & m1_pencil_2(k4_card_3(V),A,B) & m1_pencil_2(k4_card_3(W),A,B) & r1_subset_1(k4_card_3(V),k4_card_3(W)) & k1_pencil_3(A,V,W) = I & ! [X] : ( m2_finseq_1(X,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ~ ( k1_funct_1(X,1) = k4_card_3(V) & k1_funct_1(X,k3_finseq_1(X)) = k4_card_3(W) & ! [Y] : ( v7_ordinal1(Y) => ( r2_tarski(Y,k4_finseq_1(X)) => m1_pencil_2(k1_funct_1(X,Y),A,B) ) ) & ! [Y] : ( v7_ordinal1(Y) => ( r1_xxreal_0(1,Y) => ( r1_xxreal_0(k3_finseq_1(X),Y) | ! [Z] : ( m1_pencil_2(Z,A,B) => ! [A1] : ( m1_pencil_2(A1,A,B) => ( ( Z = k1_funct_1(X,Y) & A1 = k1_funct_1(X,k1_nat_1(Y,1)) ) => ( r1_xboole_0(Z,A1) & r1_pencil_3(A,B,Z,A1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_25_2__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(k5_numbers,1)),C) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(D,1)),E) = k5_numbers ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(k1_nat_1(D,1),1)),F) = k5_numbers ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(D,1)),G) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e3_25__asympt_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(C,k5_numbers) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,B,C)) ) ) => r1_xxreal_0(k6_series_1(A,k5_numbers),k6_series_1(B,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,D) => r1_xxreal_0(k8_nat_1(k1_numbers,A,E),k8_nat_1(k1_numbers,B,E)) ) ) => r1_xxreal_0(k6_series_1(A,D),k6_series_1(B,D)) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,k1_nat_1(D,1)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,F),k8_nat_1(k1_numbers,B,F)) ) ) => r1_xxreal_0(k6_series_1(A,k1_nat_1(D,1)),k6_series_1(B,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(G,D) => r1_xxreal_0(k8_nat_1(k1_numbers,A,G),k8_nat_1(k1_numbers,B,G)) ) ) => r1_xxreal_0(k6_series_1(A,D),k6_series_1(B,D)) ) ) ) ) )).
fof(s2_nat_1__e3_25__polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k10_polynom3(A),k5_numbers),k10_polynom3(A)) & ! [B] : ( v7_ordinal1(B) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k10_polynom3(A),B),k10_polynom3(A)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k10_polynom3(A),k1_nat_1(B,1)),k10_polynom3(A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k10_polynom3(A),B),k10_polynom3(A)) ) ) ) )).
fof(s2_nat_1__e3_26__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(k5_numbers,1)),D) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(E,1)),F) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(E,1)),H) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_26__group_14,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) => ( ( k3_finseq_1(A) = k5_numbers & k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => k1_card_1(k1_funct_1(B,C)) = k1_funct_1(A,C) ) ) ) => k1_card_1(k4_card_3(B)) = k2_wsierp_1(A) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ! [F] : ( ( v1_relat_1(F) & v2_relat_1(F) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finseq_1(F) ) => ( ( k3_finseq_1(E) = D & k3_finseq_1(E) = k3_finseq_1(F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(F)) => k1_card_1(k1_funct_1(F,G)) = k1_funct_1(E,G) ) ) ) => k1_card_1(k4_card_3(F)) = k2_wsierp_1(E) ) ) ) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ! [I] : ( ( v1_relat_1(I) & v2_relat_1(I) & v1_funct_1(I) & ~ v1_xboole_0(I) & v1_finseq_1(I) ) => ( ( k3_finseq_1(H) = k1_nat_1(D,1) & k3_finseq_1(H) = k3_finseq_1(I) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(I)) => k1_card_1(k1_funct_1(I,J)) = k1_funct_1(H,J) ) ) ) => k1_card_1(k4_card_3(I)) = k2_wsierp_1(H) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k4_ordinal1) => ! [L] : ( ( v1_relat_1(L) & v2_relat_1(L) & v1_funct_1(L) & ~ v1_xboole_0(L) & v1_finseq_1(L) ) => ( ( k3_finseq_1(K) = D & k3_finseq_1(K) = k3_finseq_1(L) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(L)) => k1_card_1(k1_funct_1(L,M)) = k1_funct_1(K,M) ) ) ) => k1_card_1(k4_card_3(L)) = k2_wsierp_1(K) ) ) ) ) )).
fof(s2_nat_1__e3_26__int_7,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ( ( v1_int_7(A) & v1_int_7(B) & r1_xxreal_0(k8_nat_3(k8_newton,A),k1_newton(2,k5_numbers)) & k8_nat_3(k8_newton,A) = k8_nat_3(k8_newton,B) ) => r8_pboole(k8_newton,A,B) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k8_newton) & v1_funct_1(D) & v1_partfun1(D,k8_newton) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k8_newton) & v1_funct_1(E) & v1_partfun1(E,k8_newton) & v4_valued_0(E) & v2_pre_poly(E) ) => ( ( v1_int_7(D) & v1_int_7(E) & r1_xxreal_0(k8_nat_3(k8_newton,D),k1_newton(2,C)) & k8_nat_3(k8_newton,D) = k8_nat_3(k8_newton,E) ) => r8_pboole(k8_newton,D,E) ) ) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k8_newton) & v1_funct_1(F) & v1_partfun1(F,k8_newton) & v4_valued_0(F) & v2_pre_poly(F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k8_newton) & v1_funct_1(G) & v1_partfun1(G,k8_newton) & v4_valued_0(G) & v2_pre_poly(G) ) => ( ( v1_int_7(F) & v1_int_7(G) & r1_xxreal_0(k8_nat_3(k8_newton,F),k1_newton(2,k1_nat_1(C,1))) & k8_nat_3(k8_newton,F) = k8_nat_3(k8_newton,G) ) => r8_pboole(k8_newton,F,G) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k8_newton) & v1_funct_1(H) & v1_partfun1(H,k8_newton) & v4_valued_0(H) & v2_pre_poly(H) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k8_newton) & v1_funct_1(I) & v1_partfun1(I,k8_newton) & v4_valued_0(I) & v2_pre_poly(I) ) => ( ( v1_int_7(H) & v1_int_7(I) & r1_xxreal_0(k8_nat_3(k8_newton,H),k1_newton(2,C)) & k8_nat_3(k8_newton,H) = k8_nat_3(k8_newton,I) ) => r8_pboole(k8_newton,H,I) ) ) ) ) )).
fof(s2_nat_1__e3_26__rfinseq2,axiom,( ( ! [A] : ( ( v7_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( ( v7_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( ( k5_numbers = k3_finseq_1(A) & r2_classes1(A,B) ) => A = B ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v7_valued_0(D) & m2_finseq_1(D,k1_numbers) ) => ! [E] : ( ( v7_valued_0(E) & m2_finseq_1(E,k1_numbers) ) => ( ( C = k3_finseq_1(D) & r2_classes1(D,E) ) => D = E ) ) ) => ! [F] : ( ( v7_valued_0(F) & m2_finseq_1(F,k1_numbers) ) => ! [G] : ( ( v7_valued_0(G) & m2_finseq_1(G,k1_numbers) ) => ( ( k1_nat_1(C,1) = k3_finseq_1(F) & r2_classes1(F,G) ) => F = G ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v7_valued_0(H) & m2_finseq_1(H,k1_numbers) ) => ! [I] : ( ( v7_valued_0(I) & m2_finseq_1(I,k1_numbers) ) => ( ( C = k3_finseq_1(H) & r2_classes1(H,I) ) => H = I ) ) ) ) )).
fof(s2_nat_1__e3_27_3_2__scpisort,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(A,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(A,k1_scmp_gcd(6)),k5_numbers) & r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(A,k1_scmp_gcd(6))),k1_funct_1(A,k1_scmp_gcd(4))) & k1_funct_1(A,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),A,B),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),A,B),k1_scmp_gcd(1)) = k1_funct_1(A,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),A,B),k1_scmp_gcd(2)) = k1_funct_1(A,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),A,B),k1_scmp_gcd(3)) = k1_funct_1(A,k1_scmp_gcd(3)) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(D,k1_scmp_gcd(6)),C) & r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(D,k1_scmp_gcd(6))),k1_funct_1(D,k1_scmp_gcd(4))) & k1_funct_1(D,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),D,E),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),D,E),k1_scmp_gcd(1)) = k1_funct_1(D,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),D,E),k1_scmp_gcd(2)) = k1_funct_1(D,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),D,E),k1_scmp_gcd(3)) = k1_funct_1(D,k1_scmp_gcd(3)) ) ) ) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(F,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmpds_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(F,k1_scmp_gcd(6)),k1_nat_1(C,1)) & r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(F,k1_scmp_gcd(6))),k1_funct_1(F,k1_scmp_gcd(4))) & k1_funct_1(F,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),F,G),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),F,G),k1_scmp_gcd(1)) = k1_funct_1(F,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),F,G),k1_scmp_gcd(2)) = k1_funct_1(F,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),F,G),k1_scmp_gcd(3)) = k1_funct_1(F,k1_scmp_gcd(3)) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmpds_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(H,k1_scmp_gcd(6)),C) & r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(H,k1_scmp_gcd(6))),k1_funct_1(H,k1_scmp_gcd(4))) & k1_funct_1(H,k2_scmp_gcd) = k5_numbers ) => ( k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),H,I),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),H,I),k1_scmp_gcd(1)) = k1_funct_1(H,k1_scmp_gcd(1)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),H,I),k1_scmp_gcd(2)) = k1_funct_1(H,k1_scmp_gcd(2)) & k1_funct_1(k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),H,I),k1_scmp_gcd(3)) = k1_funct_1(H,k1_scmp_gcd(3)) ) ) ) ) ) )).
fof(s2_nat_1__e3_27__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k5_numbers,1)),D) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(k5_numbers,1)),D),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),F) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(E,1)),F),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(k1_nat_1(E,1),1)),G),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),H) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(E,1)),H),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_27__goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k1_nat_1(k5_numbers,1),k3_finseq_1(A)) ) => r1_tarski(k1_tops_1(k15_euclid(2),k5_goboard5(A,k5_numbers)),k2_goboard9(A)) ) & ! [B] : ( v7_ordinal1(B) => ( ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => r1_tarski(k1_tops_1(k15_euclid(2),k5_goboard5(A,B)),k2_goboard9(A)) ) => ( ( r1_xxreal_0(1,k1_nat_1(B,1)) & r1_xxreal_0(k1_nat_1(k1_nat_1(B,1),1),k3_finseq_1(A)) ) => r1_tarski(k1_tops_1(k15_euclid(2),k5_goboard5(A,k1_nat_1(B,1))),k2_goboard9(A)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => r1_tarski(k1_tops_1(k15_euclid(2),k5_goboard5(A,B)),k2_goboard9(A)) ) ) ) ) )).
fof(s2_nat_1__e3_27__group_3,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_3(A,k5_group_1(A,B,k5_numbers),C) = k5_group_1(A,k2_group_3(A,B,C),k5_numbers) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & l3_algstr_0(E) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => k2_group_3(E,k5_group_1(E,F,D),G) = k5_group_1(E,k2_group_3(E,F,G),D) ) ) ) => ! [H] : ( ( ~ v2_struct_0(H) & v2_group_1(H) & v3_group_1(H) & l3_algstr_0(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(H)) => ! [J] : ( m1_subset_1(J,u1_struct_0(H)) => k2_group_3(H,k5_group_1(H,I,k1_nat_1(D,1)),J) = k5_group_1(H,k2_group_3(H,I,J),k1_nat_1(D,1)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( ~ v2_struct_0(K) & v2_group_1(K) & v3_group_1(K) & l3_algstr_0(K) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(K)) => ! [M] : ( m1_subset_1(M,u1_struct_0(K)) => k2_group_3(K,k5_group_1(K,L,D),M) = k5_group_1(K,k2_group_3(K,L,M),D) ) ) ) ) )).
fof(s2_nat_1__e3_27__lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & k1_newton(A,k5_numbers) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & ? [I] : ( v7_ordinal1(I) & ? [J] : ( v7_ordinal1(J) & k1_newton(A,F) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(G),k1_pepin(H)),k1_pepin(I)),k1_pepin(J)) ) ) ) ) => ? [K] : ( v7_ordinal1(K) & ? [L] : ( v7_ordinal1(L) & ? [M] : ( v7_ordinal1(M) & ? [N] : ( v7_ordinal1(N) & k1_newton(A,k1_nat_1(F,1)) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(K),k1_pepin(L)),k1_pepin(M)),k1_pepin(N)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ? [O] : ( v7_ordinal1(O) & ? [P] : ( v7_ordinal1(P) & ? [Q] : ( v7_ordinal1(Q) & ? [R] : ( v7_ordinal1(R) & k1_newton(A,F) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(O),k1_pepin(P)),k1_pepin(Q)),k1_pepin(R)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_27__nat_5,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,k5_numbers),k21_rvsum_1(k3_wsierp_1(k1_numbers,k5_numbers,A))) = k21_rvsum_1(A) ) & ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,B),k21_rvsum_1(k3_wsierp_1(k1_numbers,B,A))) = k21_rvsum_1(A) ) => ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,k1_nat_1(B,1)),k21_rvsum_1(k3_wsierp_1(k1_numbers,k1_nat_1(B,1),A))) = k21_rvsum_1(A) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,B),k21_rvsum_1(k3_wsierp_1(k1_numbers,B,A))) = k21_rvsum_1(A) ) ) ) ) )).
fof(s2_nat_1__e3_27__rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_numbers) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & k3_finseq_1(C) = k5_numbers & k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(C) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => k7_partfun1(u1_struct_0(A),D,F) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),C,F),k1_funct_1(E,F)) ) ) ) => r2_tarski(k4_rlvect_1(A,D),k2_rlvect_x(A,B)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k4_numbers) & v1_funct_1(J) & v1_finseq_1(J) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),H),B) & k3_finseq_1(H) = G & k3_finseq_1(H) = k3_finseq_1(I) & k3_finseq_1(H) = k3_finseq_1(J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k2_finseq_1(k3_finseq_1(H))) => k7_partfun1(u1_struct_0(A),I,K) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),H,K),k1_funct_1(J,K)) ) ) ) => r2_tarski(k4_rlvect_1(A,I),k2_rlvect_x(A,B)) ) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ! [N] : ( ( v1_relat_1(N) & v5_relat_1(N,k4_numbers) & v1_funct_1(N) & v1_finseq_1(N) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),L),B) & k3_finseq_1(L) = k1_nat_1(G,1) & k3_finseq_1(L) = k3_finseq_1(M) & k3_finseq_1(L) = k3_finseq_1(N) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k2_finseq_1(k3_finseq_1(L))) => k7_partfun1(u1_struct_0(A),M,O) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),L,O),k1_funct_1(N,O)) ) ) ) => r2_tarski(k4_rlvect_1(A,M),k2_rlvect_x(A,B)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) => ! [R] : ( ( v1_relat_1(R) & v5_relat_1(R,k4_numbers) & v1_funct_1(R) & v1_finseq_1(R) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),P),B) & k3_finseq_1(P) = G & k3_finseq_1(P) = k3_finseq_1(Q) & k3_finseq_1(P) = k3_finseq_1(R) & ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k2_finseq_1(k3_finseq_1(P))) => k7_partfun1(u1_struct_0(A),Q,S) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),P,S),k1_funct_1(R,S)) ) ) ) => r2_tarski(k4_rlvect_1(A,Q),k2_rlvect_x(A,B)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_28__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k5_numbers,1)),D) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(k5_numbers,1)),D),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),F) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(E,1)),F),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(k1_nat_1(E,1),1)),G),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),H) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(E,1)),H),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_28__polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ( ( k2_binom(A,k5_struct_0(A),k5_numbers) = k1_group_1(A) & ! [B] : ( v7_ordinal1(B) => ( k2_binom(A,k5_struct_0(A),B) = k1_group_1(A) => k2_binom(A,k5_struct_0(A),k1_nat_1(B,1)) = k1_group_1(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k2_binom(A,k5_struct_0(A),B) = k1_group_1(A) ) ) ) )).
fof(s2_nat_1__e3_29_1__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & v8_struct_0(D) & l3_fsm_1(D,A,B) & m2_finseq_1(E,A) ) => ( ( ( r2_tarski(k5_numbers,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),k5_numbers) = k1_xtuple_0(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),F) = k1_xtuple_0(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),F)) ) => ( r2_tarski(k1_nat_1(F,1),k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),k1_nat_1(F,1)) = k1_xtuple_0(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),F) = k1_xtuple_0(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),F)) ) ) ) ) )).
fof(s2_nat_1__e3_29_1__partit1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(C,A) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) => r2_tarski(k1_funct_1(C,k5_numbers),B) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r2_tarski(k1_funct_1(C,D),B) ) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) ) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r2_tarski(k1_funct_1(C,D),B) ) ) ) ) )).
fof(s2_nat_1__e3_29__funct_9,axiom,( ( v1_funct_9(k16_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k16_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) => v1_funct_9(k16_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k16_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_29__gr_cy_1,axiom,( ( k5_group_1(k2_gr_cy_1,k5_gr_cy_1(1),k5_numbers) = k5_numbers & ! [A] : ( v7_ordinal1(A) => ( k5_group_1(k2_gr_cy_1,k5_gr_cy_1(1),A) = A => k5_group_1(k2_gr_cy_1,k5_gr_cy_1(1),k1_nat_1(A,1)) = k1_nat_1(A,1) ) ) ) => ! [A] : ( v7_ordinal1(A) => k5_group_1(k2_gr_cy_1,k5_gr_cy_1(1),A) = A ) )).
fof(s2_nat_1__e3_29__lagra4sq,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(A))) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k8_nat_3(k8_newton,k13_nat_3(A)) != k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v7_ordinal1(G) & ~ v8_ordinal1(G) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(G))) = F & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => k8_nat_3(k8_newton,k13_nat_3(G)) != k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(H),k1_pepin(I)),k1_pepin(J)),k1_pepin(K)) ) ) ) ) ) ) => ! [L] : ( ( v7_ordinal1(L) & ~ v8_ordinal1(L) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(L))) = k1_nat_1(F,1) & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => k8_nat_3(k8_newton,k13_nat_3(L)) != k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(M),k1_pepin(N)),k1_pepin(O)),k1_pepin(P)) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( v7_ordinal1(Q) & ~ v8_ordinal1(Q) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(Q))) = F & ! [R] : ( v7_ordinal1(R) => ! [S] : ( v7_ordinal1(S) => ! [T] : ( v7_ordinal1(T) => ! [U] : ( v7_ordinal1(U) => k8_nat_3(k8_newton,k13_nat_3(Q)) != k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(R),k1_pepin(S)),k1_pepin(T)),k1_pepin(U)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_29__matrix11,axiom,( ( ! [A] : ( m1_matrix_1(A,k9_matrix_1(k5_numbers)) => ? [B] : ( m2_finseq_1(B,u1_struct_0(k10_matrix_1(k5_numbers))) & A = k3_group_4(k10_matrix_1(k5_numbers),B) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( m1_matrix_1(D,k9_matrix_1(k5_numbers)) => ~ ( k1_funct_1(B,C) = D & v5_matrix_1(D,k8_matrix_1(k9_matrix_1(k5_numbers))) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_matrix_1(F,k9_matrix_1(E)) => ? [G] : ( m2_finseq_1(G,u1_struct_0(k10_matrix_1(E))) & F = k3_group_4(k10_matrix_1(E),G) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( m1_matrix_1(I,k9_matrix_1(E)) => ~ ( k1_funct_1(G,H) = I & v5_matrix_1(I,k8_matrix_1(k9_matrix_1(E))) ) ) ) ) ) ) => ! [J] : ( m1_matrix_1(J,k9_matrix_1(k1_nat_1(E,1))) => ? [K] : ( m2_finseq_1(K,u1_struct_0(k10_matrix_1(k1_nat_1(E,1)))) & J = k3_group_4(k10_matrix_1(k1_nat_1(E,1)),K) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( m1_matrix_1(M,k9_matrix_1(k1_nat_1(E,1))) => ~ ( k1_funct_1(K,L) = M & v5_matrix_1(M,k8_matrix_1(k9_matrix_1(k1_nat_1(E,1)))) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( m1_matrix_1(N,k9_matrix_1(E)) => ? [O] : ( m2_finseq_1(O,u1_struct_0(k10_matrix_1(E))) & N = k3_group_4(k10_matrix_1(E),O) & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(O)) & ! [Q] : ( m1_matrix_1(Q,k9_matrix_1(E)) => ~ ( k1_funct_1(O,P) = Q & v5_matrix_1(Q,k8_matrix_1(k9_matrix_1(E))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_29__ordinal5,axiom,( ( k1_ordinal5(k5_numbers,k3_xcmplx_0(2,k5_numbers)) = 1 & k1_ordinal5(k5_numbers,k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) = k5_numbers & ! [A] : ( v7_ordinal1(A) => ( ( k1_ordinal5(k5_numbers,k3_xcmplx_0(2,A)) = 1 & k1_ordinal5(k5_numbers,k1_nat_1(k3_xcmplx_0(2,A),1)) = k5_numbers ) => ( k1_ordinal5(k5_numbers,k3_xcmplx_0(2,k1_nat_1(A,1))) = 1 & k1_ordinal5(k5_numbers,k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),1)) = k5_numbers ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( k1_ordinal5(k5_numbers,k3_xcmplx_0(2,A)) = 1 & k1_ordinal5(k5_numbers,k1_nat_1(k3_xcmplx_0(2,A),1)) = k5_numbers ) ) )).
fof(s2_nat_1__e3_29__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k5_numbers)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k5_numbers),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & ! [G] : ( v7_ordinal1(G) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1))) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) )).
fof(s2_nat_1__e3_2__binari_4,axiom,( ( r1_xxreal_0(k5_numbers,k5_series_1(2,k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(A,k5_series_1(2,A)) => r1_xxreal_0(k1_nat_1(A,1),k5_series_1(2,k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k5_series_1(2,A)) ) )).
fof(s2_nat_1__e3_2__comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( ? [B] : ( v1_xreal_0(B) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(B,k9_complex1(k8_nat_1(k2_numbers,A,C))) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(F,D) & r1_xxreal_0(E,k9_complex1(k8_nat_1(k2_numbers,A,F))) ) ) ) => ? [G] : ( v1_xreal_0(G) & ~ r1_xxreal_0(G,k5_numbers) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(H,k1_nat_1(D,1)) & r1_xxreal_0(G,k9_complex1(k8_nat_1(k2_numbers,A,H))) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [I] : ( v1_xreal_0(I) & ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(J,D) & r1_xxreal_0(I,k9_complex1(k8_nat_1(k2_numbers,A,J))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_2__goboard3,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E) ) ) ) ) ) & v2_funct_1(B) & v2_topreal1(B) & v3_topreal1(B) & v1_topreal1(B) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,A) & v2_funct_1(C) & v2_topreal1(C) & v3_topreal1(C) & v1_topreal1(C) & k3_topreal1(2,B) = k3_topreal1(2,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) = k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) & r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(G) = F & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ~ ( r2_hidden(k4_tarski(I,J),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),G,H) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,I,J) ) ) ) ) ) & v2_funct_1(G) & v2_topreal1(G) & v3_topreal1(G) & v1_topreal1(G) & ! [H] : ( m2_finseq_1(H,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),H,A) & v2_funct_1(H) & v2_topreal1(H) & v3_topreal1(H) & v1_topreal1(H) & k3_topreal1(2,G) = k3_topreal1(2,H) & k7_partfun1(u1_struct_0(k15_euclid(2)),G,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),H,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),G,k3_finseq_1(G)) = k7_partfun1(u1_struct_0(k15_euclid(2)),H,k3_finseq_1(H)) & r1_xxreal_0(k3_finseq_1(G),k3_finseq_1(H)) ) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(K) = k1_nat_1(F,1) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ~ ( r2_hidden(k4_tarski(M,N),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),K,L) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,M,N) ) ) ) ) ) & v2_funct_1(K) & v2_topreal1(K) & v3_topreal1(K) & v1_topreal1(K) & ! [L] : ( m2_finseq_1(L,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),L,A) & v2_funct_1(L) & v2_topreal1(L) & v3_topreal1(L) & v1_topreal1(L) & k3_topreal1(2,K) = k3_topreal1(2,L) & k7_partfun1(u1_struct_0(k15_euclid(2)),K,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),L,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),K,k3_finseq_1(K)) = k7_partfun1(u1_struct_0(k15_euclid(2)),L,k3_finseq_1(L)) & r1_xxreal_0(k3_finseq_1(K),k3_finseq_1(L)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(k15_euclid(2))) => ~ ( k3_finseq_1(O) = F & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(O)) & ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( v7_ordinal1(R) => ~ ( r2_hidden(k4_tarski(Q,R),k2_matrix_0(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),O,P) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,Q,R) ) ) ) ) ) & v2_funct_1(O) & v2_topreal1(O) & v3_topreal1(O) & v1_topreal1(O) & ! [P] : ( m2_finseq_1(P,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),P,A) & v2_funct_1(P) & v2_topreal1(P) & v3_topreal1(P) & v1_topreal1(P) & k3_topreal1(2,O) = k3_topreal1(2,P) & k7_partfun1(u1_struct_0(k15_euclid(2)),O,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),P,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),O,k3_finseq_1(O)) = k7_partfun1(u1_struct_0(k15_euclid(2)),P,k3_finseq_1(P)) & r1_xxreal_0(k3_finseq_1(O),k3_finseq_1(P)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_2__lattice6,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k10_xtuple_0(C) = B & k3_finseq_1(C) = k5_numbers & ~ v1_xboole_0(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(E,B) & E != D & r3_orders_2(k3_lattice3(A),E,D) ) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( ~ v2_struct_0(G) & v8_struct_0(G) & v10_lattices(G) & l3_lattices(G) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_lattice3(G)))) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( k10_xtuple_0(I) = H & k3_finseq_1(I) = F & ~ v1_xboole_0(H) & ! [J] : ( m1_subset_1(J,u1_struct_0(k3_lattice3(G))) => ~ ( r2_tarski(J,H) & ! [K] : ( m1_subset_1(K,u1_struct_0(k3_lattice3(G))) => ~ ( r2_tarski(K,H) & K != J & r3_orders_2(k3_lattice3(G),K,J) ) ) ) ) ) ) ) ) => ! [L] : ( ( ~ v2_struct_0(L) & v8_struct_0(L) & v10_lattices(L) & l3_lattices(L) ) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(k3_lattice3(L)))) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) ) => ~ ( k10_xtuple_0(N) = M & k3_finseq_1(N) = k1_nat_1(F,1) & ~ v1_xboole_0(M) & ! [O] : ( m1_subset_1(O,u1_struct_0(k3_lattice3(L))) => ~ ( r2_tarski(O,M) & ! [P] : ( m1_subset_1(P,u1_struct_0(k3_lattice3(L))) => ~ ( r2_tarski(P,M) & P != O & r3_orders_2(k3_lattice3(L),P,O) ) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( ~ v2_struct_0(Q) & v8_struct_0(Q) & v10_lattices(Q) & l3_lattices(Q) ) => ! [R] : ( m1_subset_1(R,k1_zfmisc_1(u1_struct_0(k3_lattice3(Q)))) => ! [S] : ( ( v1_relat_1(S) & v1_funct_1(S) & v1_finseq_1(S) ) => ~ ( k10_xtuple_0(S) = R & k3_finseq_1(S) = F & ~ v1_xboole_0(R) & ! [T] : ( m1_subset_1(T,u1_struct_0(k3_lattice3(Q))) => ~ ( r2_tarski(T,R) & ! [U] : ( m1_subset_1(U,u1_struct_0(k3_lattice3(Q))) => ~ ( r2_tarski(U,R) & U != T & r3_orders_2(k3_lattice3(Q),U,T) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_2__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ( ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_prob_2(E) & m2_finseq_1(E,B) ) => ! [F] : ( m2_finseq_1(F,k6_numbers) => ! [G] : ( m2_finseq_1(G,k6_numbers) => ( ( r1_mesfunc2(A,B,D) & v6_supinf_2(D) & r1_mesfunc3(A,B,D,E,F) & k4_finseq_1(G) = k4_finseq_1(E) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k12_supinf_2(G,H) = k1_extreal1(k12_supinf_2(F,H),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C),H)) ) ) & k3_finseq_1(E) = k5_numbers ) => ( k9_xtuple_0(D) = k1_xboole_0 | k1_mesfunc3(A,B,C,D) = k4_extreal1(G) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [K] : ( ( v1_prob_2(K) & m2_finseq_1(K,B) ) => ! [L] : ( m2_finseq_1(L,k6_numbers) => ! [M] : ( m2_finseq_1(M,k6_numbers) => ( ( r1_mesfunc2(A,B,J) & v6_supinf_2(J) & r1_mesfunc3(A,B,J,K,L) & k4_finseq_1(M) = k4_finseq_1(K) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(M)) => k12_supinf_2(M,N) = k1_extreal1(k12_supinf_2(L,N),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,K,C),N)) ) ) & k3_finseq_1(K) = I ) => ( k9_xtuple_0(J) = k1_xboole_0 | k1_mesfunc3(A,B,C,J) = k4_extreal1(M) ) ) ) ) ) ) => ! [O] : ( ( v1_funct_1(O) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [P] : ( ( v1_prob_2(P) & m2_finseq_1(P,B) ) => ! [Q] : ( m2_finseq_1(Q,k6_numbers) => ! [R] : ( m2_finseq_1(R,k6_numbers) => ( ( r1_mesfunc2(A,B,O) & v6_supinf_2(O) & r1_mesfunc3(A,B,O,P,Q) & k4_finseq_1(R) = k4_finseq_1(P) & ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k4_finseq_1(R)) => k12_supinf_2(R,S) = k1_extreal1(k12_supinf_2(Q,S),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,P,C),S)) ) ) & k3_finseq_1(P) = k1_nat_1(I,1) ) => ( k9_xtuple_0(O) = k1_xboole_0 | k1_mesfunc3(A,B,C,O) = k4_extreal1(R) ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [T] : ( ( v1_funct_1(T) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [U] : ( ( v1_prob_2(U) & m2_finseq_1(U,B) ) => ! [V] : ( m2_finseq_1(V,k6_numbers) => ! [W] : ( m2_finseq_1(W,k6_numbers) => ( ( r1_mesfunc2(A,B,T) & v6_supinf_2(T) & r1_mesfunc3(A,B,T,U,V) & k4_finseq_1(W) = k4_finseq_1(U) & ! [X] : ( v7_ordinal1(X) => ( r2_tarski(X,k4_finseq_1(W)) => k12_supinf_2(W,X) = k1_extreal1(k12_supinf_2(V,X),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,U,C),X)) ) ) & k3_finseq_1(U) = I ) => ( k9_xtuple_0(T) = k1_xboole_0 | k1_mesfunc3(A,B,C,T) = k4_extreal1(W) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_30_1__bhsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,C)),k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,k2_xcmplx_0(C,k5_numbers)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,C)),k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,k2_xcmplx_0(C,D)))) => r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,C)),k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,k2_xcmplx_0(C,k1_nat_1(D,1))))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,C)),k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,k2_xcmplx_0(C,D)))) ) ) ) )).
fof(s2_nat_1__e3_30_1__partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_finseq_1(D,A) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,k5_numbers)),k5_eqrel_1(A,B,C)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,E)),k5_eqrel_1(A,B,C)) ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,k1_nat_1(E,1))),k5_eqrel_1(A,B,C)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,1),k1_funct_1(D,E)),k5_eqrel_1(A,B,C)) ) ) ) ) )).
fof(s2_nat_1__e3_30_1__rsspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k1_funct_1(A,k5_numbers) = k1_funct_1(k3_series_1(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(A,B) = k1_funct_1(k3_series_1(A),B) => k1_funct_1(A,k1_nat_1(B,1)) = k1_funct_1(k3_series_1(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k1_funct_1(k3_series_1(A),B) ) ) ) )).
fof(s2_nat_1__e3_30_1__urysohn2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_tarski(k1_urysohn1(A),k1_urysohn1(k2_xcmplx_0(A,k5_numbers))) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k1_urysohn1(A),k1_urysohn1(k2_xcmplx_0(A,B))) => r1_tarski(k1_urysohn1(A),k1_urysohn1(k2_xcmplx_0(A,k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_urysohn1(A),k1_urysohn1(k2_xcmplx_0(A,B))) ) ) ) )).
fof(s2_nat_1__e3_30_2__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k5_numbers,1)),G) = k4_struct_0(D) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),I) = k4_struct_0(D) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k1_nat_1(H,1),1)),J) = k4_struct_0(D) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),K) = k4_struct_0(D) ) ) ) ) )).
fof(s2_nat_1__e3_30__fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => k3_fvaluat1(A,B,k2_xcmplx_0(C,k5_numbers)) = k8_group_1(A,k3_fvaluat1(A,B,C),k3_fvaluat1(A,B,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => k3_fvaluat1(A,B,k2_xcmplx_0(E,D)) = k8_group_1(A,k3_fvaluat1(A,B,E),k3_fvaluat1(A,B,D)) ) => ! [F] : ( v7_ordinal1(F) => k3_fvaluat1(A,B,k2_xcmplx_0(F,k1_nat_1(D,1))) = k8_group_1(A,k3_fvaluat1(A,B,F),k3_fvaluat1(A,B,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => k3_fvaluat1(A,B,k2_xcmplx_0(G,D)) = k8_group_1(A,k3_fvaluat1(A,B,G),k3_fvaluat1(A,B,D)) ) ) ) ) )).
fof(s2_nat_1__e3_30__qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ( ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(k2_qc_lang4(A,C))) => ( ( C = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),E) & D = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),F) & k3_finseq_1(F) = k5_numbers ) => r2_tarski(k8_finseq_1(k4_ordinal1,E,F),k3_qc_lang4(A,B,D)) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,k9_qc_lang1(A)) => ! [I] : ( m1_subset_1(I,k9_qc_lang1(A)) => ! [J] : ( m1_subset_1(J,k9_qc_lang1(A)) => ! [K] : ( m1_trees_1(K,k9_xtuple_0(k2_qc_lang4(A,H))) => ! [L] : ( m1_trees_1(L,k9_xtuple_0(k2_qc_lang4(A,I))) => ( ( I = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,H),K) & J = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,I),L) & k3_finseq_1(L) = G ) => r2_tarski(k8_finseq_1(k4_ordinal1,K,L),k3_qc_lang4(A,H,J)) ) ) ) ) ) ) => ! [M] : ( m1_subset_1(M,k9_qc_lang1(A)) => ! [N] : ( m1_subset_1(N,k9_qc_lang1(A)) => ! [O] : ( m1_subset_1(O,k9_qc_lang1(A)) => ! [P] : ( m1_trees_1(P,k9_xtuple_0(k2_qc_lang4(A,M))) => ! [Q] : ( m1_trees_1(Q,k9_xtuple_0(k2_qc_lang4(A,N))) => ( ( N = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,M),P) & O = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,N),Q) & k3_finseq_1(Q) = k1_nat_1(G,1) ) => r2_tarski(k8_finseq_1(k4_ordinal1,P,Q),k3_qc_lang4(A,M,O)) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( m1_subset_1(R,k9_qc_lang1(A)) => ! [S] : ( m1_subset_1(S,k9_qc_lang1(A)) => ! [T] : ( m1_subset_1(T,k9_qc_lang1(A)) => ! [U] : ( m1_trees_1(U,k9_xtuple_0(k2_qc_lang4(A,R))) => ! [V] : ( m1_trees_1(V,k9_xtuple_0(k2_qc_lang4(A,S))) => ( ( S = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,R),U) & T = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,S),V) & k3_finseq_1(V) = G ) => r2_tarski(k8_finseq_1(k4_ordinal1,U,V),k3_qc_lang4(A,R,T)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_30__topdim_2,axiom,( ( v3_topdim_1(k15_euclid(k5_numbers)) & r1_xxreal_0(k4_topdim_1(k15_euclid(k5_numbers)),k5_numbers) & ! [A] : ( v7_ordinal1(A) => ( ( v3_topdim_1(k15_euclid(A)) & r1_xxreal_0(k4_topdim_1(k15_euclid(A)),A) ) => ( v3_topdim_1(k15_euclid(k1_nat_1(A,1))) & r1_xxreal_0(k4_topdim_1(k15_euclid(k1_nat_1(A,1))),k1_nat_1(A,1)) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( v3_topdim_1(k15_euclid(A)) & r1_xxreal_0(k4_topdim_1(k15_euclid(A)),A) ) ) )).
fof(s2_nat_1__e3_31_1__clvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,B,C)),k11_csspace(A,k1_normsp_0(A,B,k2_xcmplx_0(C,k5_numbers)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,B,C)),k11_csspace(A,k1_normsp_0(A,B,k2_xcmplx_0(C,D)))) => r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,B,C)),k11_csspace(A,k1_normsp_0(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,B,C)),k11_csspace(A,k1_normsp_0(A,B,k2_xcmplx_0(C,D)))) ) ) ) )).
fof(s2_nat_1__e3_31__dist_1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( ( v1_prob_2(A) & k9_xtuple_0(A) = k4_finseq_1(B) & k5_numbers = k3_finseq_1(B) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => ( v1_finset_1(k1_funct_1(A,C)) & k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) => ( v1_finset_1(k3_card_3(A)) & k1_card_1(k3_card_3(A)) = k16_rvsum_1(B) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( ( v1_prob_2(E) & k9_xtuple_0(E) = k4_finseq_1(F) & D = k3_finseq_1(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k9_xtuple_0(E)) => ( v1_finset_1(k1_funct_1(E,G)) & k1_funct_1(F,G) = k1_card_1(k1_funct_1(E,G)) ) ) ) ) => ( v1_finset_1(k3_card_3(E)) & k1_card_1(k3_card_3(E)) = k16_rvsum_1(F) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ! [I] : ( m2_finseq_1(I,k4_ordinal1) => ( ( v1_prob_2(H) & k9_xtuple_0(H) = k4_finseq_1(I) & k1_nat_1(D,1) = k3_finseq_1(I) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k9_xtuple_0(H)) => ( v1_finset_1(k1_funct_1(H,J)) & k1_funct_1(I,J) = k1_card_1(k1_funct_1(H,J)) ) ) ) ) => ( v1_finset_1(k3_card_3(H)) & k1_card_1(k3_card_3(H)) = k16_rvsum_1(I) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) ) => ! [L] : ( m2_finseq_1(L,k4_ordinal1) => ( ( v1_prob_2(K) & k9_xtuple_0(K) = k4_finseq_1(L) & D = k3_finseq_1(L) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k9_xtuple_0(K)) => ( v1_finset_1(k1_funct_1(K,M)) & k1_funct_1(L,M) = k1_card_1(k1_funct_1(K,M)) ) ) ) ) => ( v1_finset_1(k3_card_3(K)) & k1_card_1(k3_card_3(K)) = k16_rvsum_1(L) ) ) ) ) ) )).
fof(s2_nat_1__e3_31__funct_9,axiom,( ( v1_funct_9(k18_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k18_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) => v1_funct_9(k18_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k18_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_31__ntalgo_1,axiom,( ( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ( ( k3_finseq_1(A) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) & k1_funct_1(C,D) = k5_numbers ) ) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) => ( k1_xtuple_0(k1_funct_1(A,D)) = k1_funct_1(B,D) & k2_xtuple_0(k1_funct_1(A,D)) = k1_funct_1(C,D) ) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) & r2_tarski(E,k2_finseq_1(k3_finseq_1(A))) ) => ( D = E | r1_int_2(k1_funct_1(C,D),k1_funct_1(C,E)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) => k5_int_1(k4_ntalgo_1(A),k1_funct_1(C,D)) = k5_int_1(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( ~ v1_xboole_0(G) & m2_finseq_1(G,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => ! [H] : ( m2_finseq_1(H,k4_numbers) => ! [I] : ( m2_finseq_1(I,k4_numbers) => ( ( k3_finseq_1(G) = F & k3_finseq_1(H) = k3_finseq_1(I) & k3_finseq_1(H) = k3_finseq_1(G) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k2_finseq_1(k3_finseq_1(G))) & k1_funct_1(I,J) = k5_numbers ) ) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k2_finseq_1(k3_finseq_1(G))) => ( k1_xtuple_0(k1_funct_1(G,J)) = k1_funct_1(H,J) & k2_xtuple_0(k1_funct_1(G,J)) = k1_funct_1(I,J) ) ) ) & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r2_tarski(J,k2_finseq_1(k3_finseq_1(G))) & r2_tarski(K,k2_finseq_1(k3_finseq_1(G))) ) => ( J = K | r1_int_2(k1_funct_1(I,J),k1_funct_1(I,K)) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k2_finseq_1(k3_finseq_1(G))) => k5_int_1(k4_ntalgo_1(G),k1_funct_1(I,J)) = k5_int_1(k1_funct_1(H,J),k1_funct_1(I,J)) ) ) ) ) ) ) => ! [L] : ( ( ~ v1_xboole_0(L) & m2_finseq_1(L,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ! [N] : ( m2_finseq_1(N,k4_numbers) => ( ( k3_finseq_1(L) = k1_nat_1(F,1) & k3_finseq_1(M) = k3_finseq_1(N) & k3_finseq_1(M) = k3_finseq_1(L) & ! [O] : ( v7_ordinal1(O) => ~ ( r2_tarski(O,k2_finseq_1(k3_finseq_1(L))) & k1_funct_1(N,O) = k5_numbers ) ) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k2_finseq_1(k3_finseq_1(L))) => ( k1_xtuple_0(k1_funct_1(L,O)) = k1_funct_1(M,O) & k2_xtuple_0(k1_funct_1(L,O)) = k1_funct_1(N,O) ) ) ) & ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => ( ( r2_tarski(O,k2_finseq_1(k3_finseq_1(L))) & r2_tarski(P,k2_finseq_1(k3_finseq_1(L))) ) => ( O = P | r1_int_2(k1_funct_1(N,O),k1_funct_1(N,P)) ) ) ) ) ) => ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k2_finseq_1(k3_finseq_1(L))) => k5_int_1(k4_ntalgo_1(L),k1_funct_1(N,O)) = k5_int_1(k1_funct_1(M,O),k1_funct_1(N,O)) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( ~ v1_xboole_0(Q) & m2_finseq_1(Q,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => ! [R] : ( m2_finseq_1(R,k4_numbers) => ! [S] : ( m2_finseq_1(S,k4_numbers) => ( ( k3_finseq_1(Q) = F & k3_finseq_1(R) = k3_finseq_1(S) & k3_finseq_1(R) = k3_finseq_1(Q) & ! [T] : ( v7_ordinal1(T) => ~ ( r2_tarski(T,k2_finseq_1(k3_finseq_1(Q))) & k1_funct_1(S,T) = k5_numbers ) ) & ! [T] : ( v7_ordinal1(T) => ( r2_tarski(T,k2_finseq_1(k3_finseq_1(Q))) => ( k1_xtuple_0(k1_funct_1(Q,T)) = k1_funct_1(R,T) & k2_xtuple_0(k1_funct_1(Q,T)) = k1_funct_1(S,T) ) ) ) & ! [T] : ( v7_ordinal1(T) => ! [U] : ( v7_ordinal1(U) => ( ( r2_tarski(T,k2_finseq_1(k3_finseq_1(Q))) & r2_tarski(U,k2_finseq_1(k3_finseq_1(Q))) ) => ( T = U | r1_int_2(k1_funct_1(S,T),k1_funct_1(S,U)) ) ) ) ) ) => ! [T] : ( v7_ordinal1(T) => ( r2_tarski(T,k2_finseq_1(k3_finseq_1(Q))) => k5_int_1(k4_ntalgo_1(Q),k1_funct_1(S,T)) = k5_int_1(k1_funct_1(R,T),k1_funct_1(S,T)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_31__qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ( ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ( C = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),E) & r2_tarski(k7_finseq_1(E,F),k3_qc_lang4(A,B,D)) & k3_finseq_1(F) = k5_numbers ) => r2_tarski(F,k3_qc_lang4(A,C,D)) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,k9_qc_lang1(A)) => ! [I] : ( m1_subset_1(I,k9_qc_lang1(A)) => ! [J] : ( m1_subset_1(J,k9_qc_lang1(A)) => ! [K] : ( m1_trees_1(K,k9_xtuple_0(k2_qc_lang4(A,H))) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) ) => ( ( I = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,H),K) & r2_tarski(k7_finseq_1(K,L),k3_qc_lang4(A,H,J)) & k3_finseq_1(L) = G ) => r2_tarski(L,k3_qc_lang4(A,I,J)) ) ) ) ) ) ) => ! [M] : ( m1_subset_1(M,k9_qc_lang1(A)) => ! [N] : ( m1_subset_1(N,k9_qc_lang1(A)) => ! [O] : ( m1_subset_1(O,k9_qc_lang1(A)) => ! [P] : ( m1_trees_1(P,k9_xtuple_0(k2_qc_lang4(A,M))) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ( ( N = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,M),P) & r2_tarski(k7_finseq_1(P,Q),k3_qc_lang4(A,M,O)) & k3_finseq_1(Q) = k1_nat_1(G,1) ) => r2_tarski(Q,k3_qc_lang4(A,N,O)) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( m1_subset_1(R,k9_qc_lang1(A)) => ! [S] : ( m1_subset_1(S,k9_qc_lang1(A)) => ! [T] : ( m1_subset_1(T,k9_qc_lang1(A)) => ! [U] : ( m1_trees_1(U,k9_xtuple_0(k2_qc_lang4(A,R))) => ! [V] : ( ( v1_relat_1(V) & v1_funct_1(V) & v1_finseq_1(V) ) => ( ( S = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,R),U) & r2_tarski(k7_finseq_1(U,V),k3_qc_lang4(A,R,T)) & k3_finseq_1(V) = G ) => r2_tarski(V,k3_qc_lang4(A,S,T)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_31__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(B)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(k5_numbers,1)),H) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(I,1)),J) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(k1_nat_1(I,1),1)),K) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(I,1)),L) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e3_32_1_1_1_1_1_1_1_2_1_1_1__finance2,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,k1_numbers) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k1_nat_1(C,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e3_32_1_1_1_2_1_2_1_1_1_1_2_1_1_1__finance2,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,k1_numbers) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k1_nat_1(C,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e3_32__finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,A) => ( v2_binop_1(B,A) => ( ( ~ v1_setwiseo(B,A) & ~ ( C != k5_numbers & k5_numbers != k5_numbers ) ) | k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(C,k5_numbers),D),B) = k1_finsop_1(A,k5_finseq_2(A,k5_numbers,k1_finsop_1(A,k5_finseq_2(A,C,D),B)),B) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,A),A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,A) => ( v2_binop_1(F,A) => ( ( ~ v1_setwiseo(F,A) & ~ ( G != k5_numbers & E != k5_numbers ) ) | k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(G,E),H),F) = k1_finsop_1(A,k5_finseq_2(A,E,k1_finsop_1(A,k5_finseq_2(A,G,H),F)),F) ) ) ) ) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(A,A),A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( m1_subset_1(K,A) => ( v2_binop_1(I,A) => ( ( ~ v1_setwiseo(I,A) & ~ ( J != k5_numbers & k1_nat_1(E,1) != k5_numbers ) ) | k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(J,k1_nat_1(E,1)),K),I) = k1_finsop_1(A,k5_finseq_2(A,k1_nat_1(E,1),k1_finsop_1(A,k5_finseq_2(A,J,K),I)),I) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k2_zfmisc_1(A,A),A) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( m1_subset_1(N,A) => ( v2_binop_1(L,A) => ( ( ~ v1_setwiseo(L,A) & ~ ( M != k5_numbers & E != k5_numbers ) ) | k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(M,E),N),L) = k1_finsop_1(A,k5_finseq_2(A,E,k1_finsop_1(A,k5_finseq_2(A,M,N),L)),L) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_32__numpoly1,axiom,( ( k1_numpoly1(k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k5_numbers,k2_xcmplx_0(k5_numbers,1)),2) & ! [A] : ( v7_ordinal1(A) => ( k1_numpoly1(A) = k7_xcmplx_0(k3_xcmplx_0(A,k2_xcmplx_0(A,1)),2) => k1_numpoly1(k1_nat_1(A,1)) = k7_xcmplx_0(k3_xcmplx_0(k1_nat_1(A,1),k2_xcmplx_0(k1_nat_1(A,1),1)),2) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_numpoly1(A) = k7_xcmplx_0(k3_xcmplx_0(A,k2_xcmplx_0(A,1)),2) ) )).
fof(s2_nat_1__e3_32__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(G,u1_struct_0(C)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k5_numbers,1)),H) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k5_numbers,1)),H),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),J) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),J),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k1_nat_1(I,1),1)),K) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k1_nat_1(I,1),1)),K),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),L) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),L),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e3_33__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k5_numbers)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k5_numbers),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(C,1))) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(C,1)),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(C,1)),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) )).
fof(s2_nat_1__e3_33__hfdiff_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k1_taylor_1(A),B),k5_numbers),k5_relset_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_taylor_1(k6_xcmplx_0(A,k5_numbers)),k3_xcmplx_0(k4_newton(k5_numbers,A),k2_newton(k5_numbers))),B)) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(A,C) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k1_taylor_1(A),B),C),k5_relset_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_taylor_1(k6_xcmplx_0(A,C)),k3_xcmplx_0(k4_newton(C,A),k2_newton(C))),B)) ) => ( ~ r1_xxreal_0(A,k1_nat_1(C,1)) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k1_taylor_1(A),B),k1_nat_1(C,1)),k5_relset_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_taylor_1(k6_xcmplx_0(A,k1_nat_1(C,1))),k3_xcmplx_0(k4_newton(k1_nat_1(C,1),A),k2_newton(k1_nat_1(C,1)))),B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(A,C) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k1_taylor_1(A),B),C),k5_relset_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_taylor_1(k6_xcmplx_0(A,C)),k3_xcmplx_0(k4_newton(C,A),k2_newton(C))),B)) ) ) ) ) )).
fof(s2_nat_1__e3_33__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(G,u1_struct_0(C)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k5_numbers,1)),H) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k5_numbers,1)),H),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),J) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),J),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k1_nat_1(I,1),1)),K) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k1_nat_1(I,1),1)),K),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),L) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),L),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e3_34__rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k3_finseq_1(D) = k5_numbers & r2_tarski(C,k2_finseq_1(k3_finseq_1(D))) & D = k1_funct_4(k8_funcop_1(u1_struct_0(A),k2_finseq_1(k3_finseq_1(D)),k4_struct_0(A)),k8_funcop_1(u1_struct_0(A),k1_tarski(C),B)) ) => k4_rlvect_1(A,D) = B ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( k3_finseq_1(F) = E & r2_tarski(C,k2_finseq_1(k3_finseq_1(F))) & F = k1_funct_4(k8_funcop_1(u1_struct_0(A),k2_finseq_1(k3_finseq_1(F)),k4_struct_0(A)),k8_funcop_1(u1_struct_0(A),k1_tarski(C),B)) ) => k4_rlvect_1(A,F) = B ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( ( k3_finseq_1(G) = k1_nat_1(E,1) & r2_tarski(C,k2_finseq_1(k3_finseq_1(G))) & G = k1_funct_4(k8_funcop_1(u1_struct_0(A),k2_finseq_1(k3_finseq_1(G)),k4_struct_0(A)),k8_funcop_1(u1_struct_0(A),k1_tarski(C),B)) ) => k4_rlvect_1(A,G) = B ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( k3_finseq_1(H) = E & r2_tarski(C,k2_finseq_1(k3_finseq_1(H))) & H = k1_funct_4(k8_funcop_1(u1_struct_0(A),k2_finseq_1(k3_finseq_1(H)),k4_struct_0(A)),k8_funcop_1(u1_struct_0(A),k1_tarski(C),B)) ) => k4_rlvect_1(A,H) = B ) ) ) ) ) )).
fof(s2_nat_1__e3_35__card_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k2_xcmplx_0(A,k5_numbers) = k8_ordinal3(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k2_xcmplx_0(A,B) = k8_ordinal3(A,B) => k2_xcmplx_0(A,k1_nat_1(B,1)) = k8_ordinal3(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k2_xcmplx_0(A,B) = k8_ordinal3(A,B) ) ) ) )).
fof(s2_nat_1__e3_35__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(k5_numbers,1)),D) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(E,1)),F) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A),k1_nat_1(E,1)),H) = k3_xcmplx_0(B,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_35__flang_1,axiom,( ! [A] : ( ( k7_flang_1(A,k4_flang_1(A,k2_flang_1(A)),k5_numbers) = k4_flang_1(A,k2_flang_1(A)) & ! [B] : ( v7_ordinal1(B) => ( k7_flang_1(A,k4_flang_1(A,k2_flang_1(A)),B) = k4_flang_1(A,k2_flang_1(A)) => k7_flang_1(A,k4_flang_1(A,k2_flang_1(A)),k1_nat_1(B,1)) = k4_flang_1(A,k2_flang_1(A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k7_flang_1(A,k4_flang_1(A,k2_flang_1(A)),B) = k4_flang_1(A,k2_flang_1(A)) ) ) )).
fof(s2_nat_1__e3_35__newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & D = k6_xcmplx_0(k2_xcmplx_0(A,C),1) ) => k1_funct_1(B,C) = k3_newton(A,D) ) ) ) ) => ( k5_numbers = k5_numbers | k18_rvsum_1(B) = k3_newton(k1_nat_1(A,1),k2_xcmplx_0(A,k5_numbers)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k1_numbers) => ( ( k3_finseq_1(F) = E & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(G,k4_finseq_1(F)) & H = k6_xcmplx_0(k2_xcmplx_0(A,G),1) ) => k1_funct_1(F,G) = k3_newton(A,H) ) ) ) ) => ( E = k5_numbers | k18_rvsum_1(F) = k3_newton(k1_nat_1(A,1),k2_xcmplx_0(A,E)) ) ) ) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r2_tarski(J,k4_finseq_1(I)) & K = k6_xcmplx_0(k2_xcmplx_0(A,J),1) ) => k1_funct_1(I,J) = k3_newton(A,K) ) ) ) ) => ( k1_nat_1(E,1) = k5_numbers | k18_rvsum_1(I) = k3_newton(k1_nat_1(A,1),k2_xcmplx_0(A,k1_nat_1(E,1))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k3_finseq_1(L) = E & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ( ( r2_tarski(M,k4_finseq_1(L)) & N = k6_xcmplx_0(k2_xcmplx_0(A,M),1) ) => k1_funct_1(L,M) = k3_newton(A,N) ) ) ) ) => ( E = k5_numbers | k18_rvsum_1(L) = k3_newton(k1_nat_1(A,1),k2_xcmplx_0(A,E)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_35__ntalgo_1,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_numbers) => ~ ( k3_finseq_1(A) = k5_numbers & ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_numbers) ) => ~ ( k3_finseq_1(B) = k1_nat_1(k3_finseq_1(A),1) & k1_funct_1(B,1) = 1 & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(B,k1_nat_1(C,1)) = k3_xcmplx_0(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) & k19_rvsum_1(A) = k1_funct_1(B,k1_nat_1(k3_finseq_1(A),1)) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k4_numbers) => ~ ( k3_finseq_1(E) = D & ! [F] : ( ( ~ v1_xboole_0(F) & m2_finseq_1(F,k4_numbers) ) => ~ ( k3_finseq_1(F) = k1_nat_1(k3_finseq_1(E),1) & k1_funct_1(F,1) = 1 & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(E)) ) => k1_funct_1(F,k1_nat_1(G,1)) = k3_xcmplx_0(k1_funct_1(F,G),k1_funct_1(E,G)) ) ) & k19_rvsum_1(E) = k1_funct_1(F,k1_nat_1(k3_finseq_1(E),1)) ) ) ) ) => ! [H] : ( m2_finseq_1(H,k4_numbers) => ~ ( k3_finseq_1(H) = k1_nat_1(D,1) & ! [I] : ( ( ~ v1_xboole_0(I) & m2_finseq_1(I,k4_numbers) ) => ~ ( k3_finseq_1(I) = k1_nat_1(k3_finseq_1(H),1) & k1_funct_1(I,1) = 1 & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(J,k3_finseq_1(H)) ) => k1_funct_1(I,k1_nat_1(J,1)) = k3_xcmplx_0(k1_funct_1(I,J),k1_funct_1(H,J)) ) ) & k19_rvsum_1(H) = k1_funct_1(I,k1_nat_1(k3_finseq_1(H),1)) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k4_numbers) => ~ ( k3_finseq_1(K) = D & ! [L] : ( ( ~ v1_xboole_0(L) & m2_finseq_1(L,k4_numbers) ) => ~ ( k3_finseq_1(L) = k1_nat_1(k3_finseq_1(K),1) & k1_funct_1(L,1) = 1 & ! [M] : ( v7_ordinal1(M) => ( ( r1_xxreal_0(1,M) & r1_xxreal_0(M,k3_finseq_1(K)) ) => k1_funct_1(L,k1_nat_1(M,1)) = k3_xcmplx_0(k1_funct_1(L,M),k1_funct_1(K,M)) ) ) & k19_rvsum_1(K) = k1_funct_1(L,k1_nat_1(k3_finseq_1(K),1)) ) ) ) ) ) )).
fof(s2_nat_1__e3_35__rfinseq,axiom,( ( ! [A] : ( ( v8_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( ( k5_numbers = k3_finseq_1(A) & r2_classes1(A,B) ) => A = B ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v8_valued_0(D) & m2_finseq_1(D,k1_numbers) ) => ! [E] : ( ( v8_valued_0(E) & m2_finseq_1(E,k1_numbers) ) => ( ( C = k3_finseq_1(D) & r2_classes1(D,E) ) => D = E ) ) ) => ! [F] : ( ( v8_valued_0(F) & m2_finseq_1(F,k1_numbers) ) => ! [G] : ( ( v8_valued_0(G) & m2_finseq_1(G,k1_numbers) ) => ( ( k1_nat_1(C,1) = k3_finseq_1(F) & r2_classes1(F,G) ) => F = G ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v8_valued_0(H) & m2_finseq_1(H,k1_numbers) ) => ! [I] : ( ( v8_valued_0(I) & m2_finseq_1(I,k1_numbers) ) => ( ( C = k3_finseq_1(H) & r2_classes1(H,I) ) => H = I ) ) ) ) )).
fof(s2_nat_1__e3_36_1__cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & m1_subset_1(C,k4_ordinal1) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,C) & ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( E = k1_funct_1(D,k5_numbers) & r5_cqc_the3(A,B,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,C) & ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( G = k1_funct_1(D,F) & r5_cqc_the3(A,B,G) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),C) & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( H = k1_funct_1(D,k1_nat_1(F,1)) & r5_cqc_the3(A,B,H) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,C) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( I = k1_funct_1(D,F) & r5_cqc_the3(A,B,I) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_36__card_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k3_xcmplx_0(k5_numbers,A) = k9_ordinal3(k5_numbers,A) & ! [B] : ( v7_ordinal1(B) => ( k3_xcmplx_0(B,A) = k9_ordinal3(B,A) => k3_xcmplx_0(k1_nat_1(B,1),A) = k9_ordinal3(k1_nat_1(B,1),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k3_xcmplx_0(B,A) = k9_ordinal3(B,A) ) ) ) )).
fof(s2_nat_1__e3_36__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k5_numbers,1)),D) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k5_numbers,1)),D),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),F) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(E,1)),F),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k1_nat_1(E,1),1)),G),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),H) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(E,1)),H),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_36__facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) & v7_ordinal1(D) ) => ( ( k5_facirc_1(A,B,C,k2_xcmplx_0(D,k5_numbers)) = k5_facirc_1(A,B,k5_facirc_1(A,B,C,D),k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k5_facirc_1(A,B,C,k2_xcmplx_0(D,E)) = k5_facirc_1(A,B,k5_facirc_1(A,B,C,D),E) => k5_facirc_1(A,B,C,k2_xcmplx_0(D,k1_nat_1(E,1))) = k5_facirc_1(A,B,k5_facirc_1(A,B,C,D),k1_nat_1(E,1)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k5_facirc_1(A,B,C,k2_xcmplx_0(D,E)) = k5_facirc_1(A,B,k5_facirc_1(A,B,C,D),E) ) ) ) )).
fof(s2_nat_1__e3_36__funct_9,axiom,( ( v1_funct_9(k1_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k1_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) => v1_funct_9(k1_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k1_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_36__group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ( k5_group_1(A,k1_group_1(A),k5_numbers) = k1_group_1(A) & ! [B] : ( v7_ordinal1(B) => ( k5_group_1(A,k1_group_1(A),B) = k1_group_1(A) => k5_group_1(A,k1_group_1(A),k1_nat_1(B,1)) = k1_group_1(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k5_group_1(A,k1_group_1(A),B) = k1_group_1(A) ) ) ) )).
fof(s2_nat_1__e3_36__trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(B) & m1_trees_2(B,A) ) => ( ( ~ ( ~ r1_xxreal_0(k4_card_1(B),k5_numbers) & ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ~ ( r2_tarski(C,B) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( ~ r1_xxreal_0(k4_card_1(B),D) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,B) & r1_xxreal_0(D,k3_finseq_1(E)) ) ) ) => ~ ( ~ r1_xxreal_0(k4_card_1(B),k1_nat_1(D,1)) & ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ~ ( r2_tarski(F,B) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(F)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(k4_card_1(B),D) & ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ~ ( r2_tarski(G,B) & r1_xxreal_0(D,k3_finseq_1(G)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_37_11__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))))) ) => ( ( r1_tarski(k6_goedelcp(A,k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(k5_numbers,1))),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),C,k5_numbers))) & ~ r2_tarski(k2_qc_lang3(A,k31_qc_lang1(A,a_3_8_goedelcp(A,B,C))),k6_goedelcp(A,k4_subset_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(k5_numbers,1)),k6_domain_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(k5_numbers,1)))))) & ! [E] : ( v7_ordinal1(E) => ( ( r1_tarski(k6_goedelcp(A,k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(E,1))),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),C,E))) & ~ r2_tarski(k2_qc_lang3(A,k31_qc_lang1(A,a_4_2_goedelcp(A,B,C,E))),k6_goedelcp(A,k4_subset_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(E,1)),k6_domain_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(E,1)))))) ) => ( r1_tarski(k6_goedelcp(A,k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(k1_nat_1(E,1),1))),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),C,k1_nat_1(E,1)))) & ~ r2_tarski(k2_qc_lang3(A,k31_qc_lang1(A,a_4_3_goedelcp(A,B,C,E))),k6_goedelcp(A,k4_subset_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(k1_nat_1(E,1),1)),k6_domain_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(k1_nat_1(E,1),1)))))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_tarski(k6_goedelcp(A,k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(E,1))),k2_xfamily(k8_nat_1(k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),C,E))) & ~ r2_tarski(k2_qc_lang3(A,k31_qc_lang1(A,a_4_2_goedelcp(A,B,C,E))),k6_goedelcp(A,k4_subset_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(E,1)),k6_domain_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(E,1)))))) ) ) ) ) )).
fof(s2_nat_1__e3_37__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k5_numbers,1)),D) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k5_numbers,1)),D),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k5_numbers,1)),D)) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),F) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(E,1)),F),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(E,1)),F)) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(k1_nat_1(E,1),1)),G) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k1_nat_1(E,1),1)),G),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k1_nat_1(E,1),1)),G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k1_nat_1(E,1)),H) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(E,1)),H),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(E,1)),H)) ) ) ) ) )).
fof(s2_nat_1__e3_37__pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ( ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ! [D] : ( m2_finseq_1(D,k1_euclid(A)) => ( ( k5_numbers = k3_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(B) & k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k7_partfun1(k1_euclid(A),D,E) = k7_euclid(A,k7_partfun1(k1_euclid(A),B,E),k7_partfun1(k1_euclid(A),C,E)) ) ) ) => k5_euclid_7(A,D) = k7_euclid(A,k5_euclid_7(A,B),k5_euclid_7(A,C)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,k1_euclid(A)) => ! [H] : ( m2_finseq_1(H,k1_euclid(A)) => ! [I] : ( m2_finseq_1(I,k1_euclid(A)) => ( ( F = k3_finseq_1(I) & k3_finseq_1(I) = k3_finseq_1(G) & k3_finseq_1(I) = k3_finseq_1(H) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => k7_partfun1(k1_euclid(A),I,J) = k7_euclid(A,k7_partfun1(k1_euclid(A),G,J),k7_partfun1(k1_euclid(A),H,J)) ) ) ) => k5_euclid_7(A,I) = k7_euclid(A,k5_euclid_7(A,G),k5_euclid_7(A,H)) ) ) ) ) => ! [K] : ( m2_finseq_1(K,k1_euclid(A)) => ! [L] : ( m2_finseq_1(L,k1_euclid(A)) => ! [M] : ( m2_finseq_1(M,k1_euclid(A)) => ( ( k1_nat_1(F,1) = k3_finseq_1(M) & k3_finseq_1(M) = k3_finseq_1(K) & k3_finseq_1(M) = k3_finseq_1(L) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(M)) => k7_partfun1(k1_euclid(A),M,N) = k7_euclid(A,k7_partfun1(k1_euclid(A),K,N),k7_partfun1(k1_euclid(A),L,N)) ) ) ) => k5_euclid_7(A,M) = k7_euclid(A,k5_euclid_7(A,K),k5_euclid_7(A,L)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,k1_euclid(A)) => ! [P] : ( m2_finseq_1(P,k1_euclid(A)) => ! [Q] : ( m2_finseq_1(Q,k1_euclid(A)) => ( ( F = k3_finseq_1(Q) & k3_finseq_1(Q) = k3_finseq_1(O) & k3_finseq_1(Q) = k3_finseq_1(P) & ! [R] : ( v7_ordinal1(R) => ( r2_tarski(R,k4_finseq_1(Q)) => k7_partfun1(k1_euclid(A),Q,R) = k7_euclid(A,k7_partfun1(k1_euclid(A),O,R),k7_partfun1(k1_euclid(A),P,R)) ) ) ) => k5_euclid_7(A,Q) = k7_euclid(A,k5_euclid_7(A,O),k5_euclid_7(A,P)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_37__polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),k5_numbers) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(k5_numbers,A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(k5_numbers,A)),k7_complex1)) & ! [B] : ( v7_ordinal1(B) => ( k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),B) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(B,A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(B,A)),k7_complex1)) => k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),k1_nat_1(B,1)) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(k1_nat_1(B,1),A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(k1_nat_1(B,1),A)),k7_complex1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),B) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(B,A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(B,A)),k7_complex1)) ) ) ) )).
fof(s2_nat_1__e3_38_4__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(k5_series_1(2,k1_nat_1(B,1)),k5_numbers)),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(B,1)))),k3_xcmplx_0(k5_numbers,k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1))))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(k5_series_1(2,k1_nat_1(B,1)),C)),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(B,1)))),k3_xcmplx_0(C,k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1))))) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(k5_series_1(2,k1_nat_1(B,1)),k1_nat_1(C,1))),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(B,1)))),k3_xcmplx_0(k1_nat_1(C,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1))))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(k5_series_1(2,k1_nat_1(B,1)),C)),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(A),k5_series_1(2,k1_nat_1(B,1)))),k3_xcmplx_0(C,k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1))))) ) ) ) )).
fof(s2_nat_1__e3_38__binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ( ( ~ r1_xxreal_0(k5_series_1(2,A),k5_numbers) => k6_binarith(A,k1_binari_3(A,k5_numbers)) = k5_numbers ) & ! [B] : ( v7_ordinal1(B) => ( ( ~ r1_xxreal_0(k5_series_1(2,A),B) => k6_binarith(A,k1_binari_3(A,B)) = B ) => ( ~ r1_xxreal_0(k5_series_1(2,A),k1_nat_1(B,1)) => k6_binarith(A,k1_binari_3(A,k1_nat_1(B,1))) = k1_nat_1(B,1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k5_series_1(2,A),B) => k6_binarith(A,k1_binari_3(A,B)) = B ) ) ) ) )).
fof(s2_nat_1__e3_38__funct_9,axiom,( ( v1_funct_9(k2_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k2_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) => v1_funct_9(k2_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k2_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_38__int_5,axiom,( ! [A] : ( v1_int_1(A) => ( ( ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => r2_int_1(k1_funct_1(B,D),k1_funct_1(C,D),A) ) ) ) => r2_int_1(k19_rvsum_1(B),k19_rvsum_1(C),A) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k4_numbers) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ( ( k3_finseq_1(F) = E & k3_finseq_1(F) = k3_finseq_1(G) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(F)) => r2_int_1(k1_funct_1(F,H),k1_funct_1(G,H),A) ) ) ) => r2_int_1(k19_rvsum_1(F),k19_rvsum_1(G),A) ) ) ) => ! [I] : ( m2_finseq_1(I,k4_numbers) => ! [J] : ( m2_finseq_1(J,k4_numbers) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & k3_finseq_1(I) = k3_finseq_1(J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(I)) => r2_int_1(k1_funct_1(I,K),k1_funct_1(J,K),A) ) ) ) => r2_int_1(k19_rvsum_1(I),k19_rvsum_1(J),A) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ( ( k3_finseq_1(L) = E & k3_finseq_1(L) = k3_finseq_1(M) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(L)) => r2_int_1(k1_funct_1(L,N),k1_funct_1(M,N),A) ) ) ) => r2_int_1(k19_rvsum_1(L),k19_rvsum_1(M),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_38__pdiff_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_xreal_0(B) ) => ( ( ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ! [D] : ( m2_finseq_1(D,k1_euclid(A)) => ( ( k5_numbers = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => k7_partfun1(k1_euclid(A),D,E) = k9_euclid(A,k7_partfun1(k1_euclid(A),C,E),B) ) ) ) => k5_euclid_7(A,D) = k9_euclid(A,k5_euclid_7(A,C),B) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,k1_euclid(A)) => ! [H] : ( m2_finseq_1(H,k1_euclid(A)) => ( ( F = k3_finseq_1(G) & k3_finseq_1(G) = k3_finseq_1(H) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(G)) => k7_partfun1(k1_euclid(A),H,I) = k9_euclid(A,k7_partfun1(k1_euclid(A),G,I),B) ) ) ) => k5_euclid_7(A,H) = k9_euclid(A,k5_euclid_7(A,G),B) ) ) ) => ! [J] : ( m2_finseq_1(J,k1_euclid(A)) => ! [K] : ( m2_finseq_1(K,k1_euclid(A)) => ( ( k1_nat_1(F,1) = k3_finseq_1(J) & k3_finseq_1(J) = k3_finseq_1(K) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(J)) => k7_partfun1(k1_euclid(A),K,L) = k9_euclid(A,k7_partfun1(k1_euclid(A),J,L),B) ) ) ) => k5_euclid_7(A,K) = k9_euclid(A,k5_euclid_7(A,J),B) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ( m2_finseq_1(M,k1_euclid(A)) => ! [N] : ( m2_finseq_1(N,k1_euclid(A)) => ( ( F = k3_finseq_1(M) & k3_finseq_1(M) = k3_finseq_1(N) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k4_finseq_1(M)) => k7_partfun1(k1_euclid(A),N,O) = k9_euclid(A,k7_partfun1(k1_euclid(A),M,O),B) ) ) ) => k5_euclid_7(A,N) = k9_euclid(A,k5_euclid_7(A,M),B) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_38__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k5_numbers)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k5_numbers),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & ! [G] : ( v7_ordinal1(G) => ( ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1))) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) )).
fof(s2_nat_1__e3_39__group_17,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( k5_numbers = k3_finseq_1(C) & C = D ) => k3_group_4(A,C) = k3_group_4(B,D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ! [G] : ( m2_finseq_1(G,u1_struct_0(B)) => ( ( E = k3_finseq_1(F) & F = G ) => k3_group_4(A,F) = k3_group_4(B,G) ) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ( ( k1_nat_1(E,1) = k3_finseq_1(H) & H = I ) => k3_group_4(A,H) = k3_group_4(B,I) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ! [K] : ( m2_finseq_1(K,u1_struct_0(B)) => ( ( E = k3_finseq_1(J) & J = K ) => k3_group_4(A,J) = k3_group_4(B,K) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_39__int_5,axiom,( ! [A] : ( v1_int_1(A) => ( ( ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => r2_int_1(k1_funct_1(B,D),k4_xcmplx_0(k1_funct_1(C,D)),A) ) ) ) => r2_int_1(k19_rvsum_1(B),k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k3_finseq_1(B)),k19_rvsum_1(C)),A) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k4_numbers) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ( ( k3_finseq_1(F) = E & k3_finseq_1(F) = k3_finseq_1(G) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(F)) => r2_int_1(k1_funct_1(F,H),k4_xcmplx_0(k1_funct_1(G,H)),A) ) ) ) => r2_int_1(k19_rvsum_1(F),k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k3_finseq_1(F)),k19_rvsum_1(G)),A) ) ) ) => ! [I] : ( m2_finseq_1(I,k4_numbers) => ! [J] : ( m2_finseq_1(J,k4_numbers) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & k3_finseq_1(I) = k3_finseq_1(J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(I)) => r2_int_1(k1_funct_1(I,K),k4_xcmplx_0(k1_funct_1(J,K)),A) ) ) ) => r2_int_1(k19_rvsum_1(I),k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k3_finseq_1(I)),k19_rvsum_1(J)),A) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ( ( k3_finseq_1(L) = E & k3_finseq_1(L) = k3_finseq_1(M) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(L)) => r2_int_1(k1_funct_1(L,N),k4_xcmplx_0(k1_funct_1(M,N)),A) ) ) ) => r2_int_1(k19_rvsum_1(L),k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k3_finseq_1(L)),k19_rvsum_1(M)),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_39__scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ( ( ~ r2_tarski(k5_numbers,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),k5_numbers)) & r2_tarski(k4_scmfsa_2(B),A) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r2_tarski(k5_numbers,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),C)) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),C)) & r2_tarski(k4_scmfsa_2(D),A) ) ) ) => ( ~ r2_tarski(k5_numbers,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),k1_nat_1(C,1))) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),k1_nat_1(C,1))) & r2_tarski(k4_scmfsa_2(E),A) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r2_tarski(k5_numbers,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),C)) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),C)) & r2_tarski(k4_scmfsa_2(F),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_39__taylor_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( ( r1_taylor_1(A,k5_numbers,B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_tarski(k2_rcomp_1(C,D),B) => ( r1_xxreal_0(D,C) | r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k5_numbers),k2_rcomp_1(C,D)),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(C,D)),k5_numbers)) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_taylor_1(A,E,B) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( r1_tarski(k2_rcomp_1(F,G),B) => ( r1_xxreal_0(G,F) | r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),E),k2_rcomp_1(F,G)),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(F,G)),E)) ) ) ) ) ) => ( r1_taylor_1(A,k1_nat_1(E,1),B) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( r1_tarski(k2_rcomp_1(H,I),B) => ( r1_xxreal_0(I,H) | r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k1_nat_1(E,1)),k2_rcomp_1(H,I)),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(H,I)),k1_nat_1(E,1))) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_taylor_1(A,E,B) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( r1_tarski(k2_rcomp_1(J,K),B) => ( r1_xxreal_0(K,J) | r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),E),k2_rcomp_1(J,K)),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(J,K)),E)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_39__toprns_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( ( ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(C,k12_euclid(k8_nat_1(u1_struct_0(k15_euclid(A)),B,D))) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( v1_xreal_0(F) & ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,E) & r1_xxreal_0(F,k12_euclid(k8_nat_1(u1_struct_0(k15_euclid(A)),B,G))) ) ) ) => ? [H] : ( v1_xreal_0(H) & ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(I,k1_nat_1(E,1)) & r1_xxreal_0(H,k12_euclid(k8_nat_1(u1_struct_0(k15_euclid(A)),B,I))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ? [J] : ( v1_xreal_0(J) & ~ r1_xxreal_0(J,k5_numbers) & ! [K] : ( v7_ordinal1(K) => ~ ( r1_xxreal_0(K,E) & r1_xxreal_0(J,k12_euclid(k8_nat_1(u1_struct_0(k15_euclid(A)),B,K))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_3_1__weierstr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_finset_1(B) & v1_topmetr(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( C = k5_numbers => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( k10_xtuple_0(D) = B & k4_finseq_1(D) = k2_finseq_1(C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ~ r1_tarski(k5_setfam_1(u1_struct_0(A),B),k8_metric_1(A,E,F)) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_finset_1(H) & v1_topmetr(H,A) ) => ! [I] : ( v7_ordinal1(I) => ( I = G => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) ) => ~ ( k10_xtuple_0(J) = H & k4_finseq_1(J) = k2_finseq_1(I) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( v1_xreal_0(L) => ~ r1_tarski(k5_setfam_1(u1_struct_0(A),H),k8_metric_1(A,K,L)) ) ) ) ) ) ) ) ) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_finset_1(M) & v1_topmetr(M,A) ) => ! [N] : ( v7_ordinal1(N) => ( N = k1_nat_1(G,1) => ! [O] : ( ( v1_relat_1(O) & v1_funct_1(O) & v1_finseq_1(O) ) => ~ ( k10_xtuple_0(O) = M & k4_finseq_1(O) = k2_finseq_1(N) & ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ! [Q] : ( v1_xreal_0(Q) => ~ r1_tarski(k5_setfam_1(u1_struct_0(A),M),k8_metric_1(A,P,Q)) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( m1_subset_1(R,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_finset_1(R) & v1_topmetr(R,A) ) => ! [S] : ( v7_ordinal1(S) => ( S = G => ! [T] : ( ( v1_relat_1(T) & v1_funct_1(T) & v1_finseq_1(T) ) => ~ ( k10_xtuple_0(T) = R & k4_finseq_1(T) = k2_finseq_1(S) & ! [U] : ( m1_subset_1(U,u1_struct_0(A)) => ! [V] : ( v1_xreal_0(V) => ~ r1_tarski(k5_setfam_1(u1_struct_0(A),R),k8_metric_1(A,U,V)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_3__hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k5_numbers) != k4_struct_0(A) & ! [B] : ( v7_ordinal1(B) => ( k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),B) != k4_struct_0(A) => k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k1_nat_1(B,1)) != k4_struct_0(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),B) != k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e3_3__lattice6,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k10_xtuple_0(C) = B & k3_finseq_1(C) = k5_numbers & ~ v1_xboole_0(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(k3_lattice3(A))) => ~ ( r2_tarski(E,B) & E != D & r3_orders_2(k3_lattice3(A),D,E) ) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( ~ v2_struct_0(G) & v8_struct_0(G) & v10_lattices(G) & l3_lattices(G) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_lattice3(G)))) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( k10_xtuple_0(I) = H & k3_finseq_1(I) = F & ~ v1_xboole_0(H) & ! [J] : ( m1_subset_1(J,u1_struct_0(k3_lattice3(G))) => ~ ( r2_tarski(J,H) & ! [K] : ( m1_subset_1(K,u1_struct_0(k3_lattice3(G))) => ~ ( r2_tarski(K,H) & K != J & r3_orders_2(k3_lattice3(G),J,K) ) ) ) ) ) ) ) ) => ! [L] : ( ( ~ v2_struct_0(L) & v8_struct_0(L) & v10_lattices(L) & l3_lattices(L) ) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(k3_lattice3(L)))) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) ) => ~ ( k10_xtuple_0(N) = M & k3_finseq_1(N) = k1_nat_1(F,1) & ~ v1_xboole_0(M) & ! [O] : ( m1_subset_1(O,u1_struct_0(k3_lattice3(L))) => ~ ( r2_tarski(O,M) & ! [P] : ( m1_subset_1(P,u1_struct_0(k3_lattice3(L))) => ~ ( r2_tarski(P,M) & P != O & r3_orders_2(k3_lattice3(L),O,P) ) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( ~ v2_struct_0(Q) & v8_struct_0(Q) & v10_lattices(Q) & l3_lattices(Q) ) => ! [R] : ( m1_subset_1(R,k1_zfmisc_1(u1_struct_0(k3_lattice3(Q)))) => ! [S] : ( ( v1_relat_1(S) & v1_funct_1(S) & v1_finseq_1(S) ) => ~ ( k10_xtuple_0(S) = R & k3_finseq_1(S) = F & ~ v1_xboole_0(R) & ! [T] : ( m1_subset_1(T,u1_struct_0(k3_lattice3(Q))) => ~ ( r2_tarski(T,R) & ! [U] : ( m1_subset_1(U,u1_struct_0(k3_lattice3(Q))) => ~ ( r2_tarski(U,R) & U != T & r3_orders_2(k3_lattice3(Q),T,U) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_3__nat_4,axiom,( ( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(k1_newton(A,k5_numbers),k5_numbers) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,1) & r1_xxreal_0(k1_newton(C,B),B) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,1) & r1_xxreal_0(k1_newton(D,k1_nat_1(B,1)),k1_nat_1(B,1)) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(E,1) & r1_xxreal_0(k1_newton(E,B),B) ) ) ) )).
fof(s2_nat_1__e3_3__rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(C) = B & k4_card_1(D) = k5_numbers & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,C) & v1_rlvect_3(D,A) ) => ( r1_xxreal_0(k5_numbers,B) & ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(E,C) & k4_card_1(E) = k6_xcmplx_0(B,k5_numbers) & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,k4_subset_1(u1_struct_0(A),D,E)) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) ) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(H) = G & k4_card_1(I) = F & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,H) & v1_rlvect_3(I,A) ) => ( r1_xxreal_0(F,G) & ? [J] : ( v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(J,H) & k4_card_1(J) = k6_xcmplx_0(G,F) & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,k4_subset_1(u1_struct_0(A),I,J)) ) ) ) ) ) ) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) ) => ! [M] : ( ( v1_finset_1(M) & m1_subset_1(M,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(L) = K & k4_card_1(M) = k1_nat_1(F,1) & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,L) & v1_rlvect_3(M,A) ) => ( r1_xxreal_0(k1_nat_1(F,1),K) & ? [N] : ( v1_finset_1(N) & m1_subset_1(N,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(N,L) & k4_card_1(N) = k6_xcmplx_0(K,k1_nat_1(F,1)) & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,k4_subset_1(u1_struct_0(A),M,N)) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m1_subset_1(O,k4_ordinal1) => ! [P] : ( ( v1_finset_1(P) & m1_subset_1(P,k1_zfmisc_1(u1_struct_0(A))) ) => ! [Q] : ( ( v1_finset_1(Q) & m1_subset_1(Q,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k4_card_1(P) = O & k4_card_1(Q) = F & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,P) & v1_rlvect_3(Q,A) ) => ( r1_xxreal_0(F,O) & ? [R] : ( v1_finset_1(R) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(R,P) & k4_card_1(R) = k6_xcmplx_0(O,F) & g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) = k1_rusub_3(A,k4_subset_1(u1_struct_0(A),Q,R)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_3__taylor_1,axiom,( ( ! [A] : ( v1_xreal_0(A) => ( r1_fdiff_1(k1_taylor_1(k5_numbers),A) & k1_fdiff_1(k1_taylor_1(k5_numbers),A) = k3_xcmplx_0(k5_numbers,k3_prepower(A,k6_xcmplx_0(k5_numbers,1))) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v1_xreal_0(C) => ( r1_fdiff_1(k1_taylor_1(B),C) & k1_fdiff_1(k1_taylor_1(B),C) = k3_xcmplx_0(B,k3_prepower(C,k6_xcmplx_0(B,1))) ) ) => ! [D] : ( v1_xreal_0(D) => ( r1_fdiff_1(k1_taylor_1(k1_nat_1(B,1)),D) & k1_fdiff_1(k1_taylor_1(k1_nat_1(B,1)),D) = k3_xcmplx_0(k1_nat_1(B,1),k3_prepower(D,k6_xcmplx_0(k1_nat_1(B,1),1))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v1_xreal_0(E) => ( r1_fdiff_1(k1_taylor_1(B),E) & k1_fdiff_1(k1_taylor_1(B),E) = k3_xcmplx_0(B,k3_prepower(E,k6_xcmplx_0(B,1))) ) ) ) )).
fof(s2_nat_1__e3_40__bhsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(C,k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,D))) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( v1_xreal_0(F) & ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,E) & r1_xxreal_0(F,k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,G))) ) ) ) => ? [H] : ( v1_xreal_0(H) & ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(I,k1_nat_1(E,1)) & r1_xxreal_0(H,k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,I))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ? [J] : ( v1_xreal_0(J) & ~ r1_xxreal_0(J,k5_numbers) & ! [K] : ( v7_ordinal1(K) => ~ ( r1_xxreal_0(K,E) & r1_xxreal_0(J,k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,K))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_40__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k5_numbers),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k5_numbers),k2_xcmplx_0(C,k3_xcmplx_0(k5_numbers,A))) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),D),E) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),D),k2_xcmplx_0(E,k3_xcmplx_0(D,A))) ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(D,1)),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),k1_nat_1(D,1)),k2_xcmplx_0(F,k3_xcmplx_0(k1_nat_1(D,1),A))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),D),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),D),k2_xcmplx_0(G,k3_xcmplx_0(D,A))) ) ) ) ) )).
fof(s2_nat_1__e3_40__diff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k5_numbers,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k5_numbers),k2_xcmplx_0(B,A)),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k5_numbers),B)) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(D,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),D),k2_xcmplx_0(B,A)),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),D),B)) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(k1_nat_1(D,1),1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(D,1)),k2_xcmplx_0(B,A)),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(D,1)),B)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),k1_nat_1(D,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),D),k2_xcmplx_0(B,A)),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),D),B)) ) ) ) )).
fof(s2_nat_1__e3_40__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_xcmplx_0(C,D),k5_numbers) => k7_flang_1(A,B,k2_xcmplx_0(C,D)) = k6_flang_1(A,k7_flang_1(A,B,C),k7_flang_1(A,B,D)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k2_xcmplx_0(F,G),E) => k7_flang_1(A,B,k2_xcmplx_0(F,G)) = k6_flang_1(A,k7_flang_1(A,B,F),k7_flang_1(A,B,G)) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(k2_xcmplx_0(H,I),k1_nat_1(E,1)) => k7_flang_1(A,B,k2_xcmplx_0(H,I)) = k6_flang_1(A,k7_flang_1(A,B,H),k7_flang_1(A,B,I)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(k2_xcmplx_0(J,K),E) => k7_flang_1(A,B,k2_xcmplx_0(J,K)) = k6_flang_1(A,k7_flang_1(A,B,J),k7_flang_1(A,B,K)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_40__pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,C,k2_xcmplx_0(B,k5_numbers)),k8_pua2mss1(A,k8_pua2mss1(A,C,B),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,C,k2_xcmplx_0(B,D)),k8_pua2mss1(A,k8_pua2mss1(A,C,B),D)) => r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,C,k2_xcmplx_0(B,k1_nat_1(D,1))),k8_pua2mss1(A,k8_pua2mss1(A,C,B),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,C,k2_xcmplx_0(B,D)),k8_pua2mss1(A,k8_pua2mss1(A,C,B),D)) ) ) ) )).
fof(s2_nat_1__e3_40__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(B)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(k5_numbers,1)),H) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(I,1)),J) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(k1_nat_1(I,1),1)),K) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,G)),k1_nat_1(I,1)),L) = k3_vectsp_1(B,D,G,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e3_40__wsierp_1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,k5_numbers),k21_rvsum_1(k3_wsierp_1(k1_numbers,k5_numbers,A))) = k21_rvsum_1(A) ) & ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,B),k21_rvsum_1(k3_wsierp_1(k1_numbers,B,A))) = k21_rvsum_1(A) ) => ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,k1_nat_1(B,1)),k21_rvsum_1(k3_wsierp_1(k1_numbers,k1_nat_1(B,1),A))) = k21_rvsum_1(A) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => k3_xcmplx_0(k1_funct_1(A,B),k21_rvsum_1(k3_wsierp_1(k1_numbers,B,A))) = k21_rvsum_1(A) ) ) ) ) )).
fof(s2_nat_1__e3_41_1__comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k5_numbers,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B))) => r1_xxreal_0(k5_numbers,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k5_numbers,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B))) ) ) ) )).
fof(s2_nat_1__e3_41_1__scmfsa_m,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) & m1_subset_1(B,k4_ordinal1) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k4_seq_4(k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),k5_numbers)),k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),B))) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k4_seq_4(k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),C)),k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),B))) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(C,1),B) & r1_xxreal_0(k4_seq_4(k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),k1_nat_1(C,1))),k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),B))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k4_seq_4(k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),C)),k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),B))) ) ) ) ) )).
fof(s2_nat_1__e3_41_2_1__comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(A),k2_xcmplx_0(B,k5_numbers)),k8_nat_1(k2_numbers,k10_comseq_3(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B)))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(A),k2_xcmplx_0(B,C)),k8_nat_1(k2_numbers,k10_comseq_3(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B)))) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(A),k2_xcmplx_0(B,k1_nat_1(C,1))),k8_nat_1(k2_numbers,k10_comseq_3(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(A),k2_xcmplx_0(B,C)),k8_nat_1(k2_numbers,k10_comseq_3(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B)))) ) ) ) )).
fof(s2_nat_1__e3_41__bcialg_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( C = k5_numbers & r1_xxreal_0(C,A) ) => k6_bcialg_4(B,k4_struct_0(B),C) = k4_struct_0(B) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ( E = D & r1_xxreal_0(E,A) ) => k6_bcialg_4(B,k4_struct_0(B),E) = k4_struct_0(B) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( F = k1_nat_1(D,1) & r1_xxreal_0(F,A) ) => k6_bcialg_4(B,k4_struct_0(B),F) = k4_struct_0(B) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ( ( G = D & r1_xxreal_0(G,A) ) => k6_bcialg_4(B,k4_struct_0(B),G) = k4_struct_0(B) ) ) ) ) ) )).
fof(s2_nat_1__e3_41__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k3_xcmplx_0(2,k5_numbers)),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k3_xcmplx_0(2,k5_numbers)),k2_xcmplx_0(C,k3_xcmplx_0(k5_numbers,A))) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k3_xcmplx_0(2,D)),E) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k3_xcmplx_0(2,D)),k2_xcmplx_0(E,k3_xcmplx_0(D,A))) ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k3_xcmplx_0(2,k1_nat_1(D,1))),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k3_xcmplx_0(2,k1_nat_1(D,1))),k2_xcmplx_0(F,k3_xcmplx_0(k1_nat_1(D,1),A))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k3_xcmplx_0(2,D)),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k3_xcmplx_0(2,D)),k2_xcmplx_0(G,k3_xcmplx_0(D,A))) ) ) ) ) )).
fof(s2_nat_1__e3_41__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_xcmplx_0(C,D),k5_numbers) => k7_flang_1(A,k7_flang_1(A,B,C),D) = k7_flang_1(A,B,k3_xcmplx_0(C,D)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k2_xcmplx_0(F,G),E) => k7_flang_1(A,k7_flang_1(A,B,F),G) = k7_flang_1(A,B,k3_xcmplx_0(F,G)) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(k2_xcmplx_0(H,I),k1_nat_1(E,1)) => k7_flang_1(A,k7_flang_1(A,B,H),I) = k7_flang_1(A,B,k3_xcmplx_0(H,I)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(k2_xcmplx_0(J,K),E) => k7_flang_1(A,k7_flang_1(A,B,J),K) = k7_flang_1(A,B,k3_xcmplx_0(J,K)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_41__group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => k5_group_1(A,B,k2_xcmplx_0(C,k5_numbers)) = k6_algstr_0(A,k5_group_1(A,B,C),k5_group_1(A,B,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => k5_group_1(A,B,k2_xcmplx_0(E,D)) = k6_algstr_0(A,k5_group_1(A,B,E),k5_group_1(A,B,D)) ) => ! [F] : ( v7_ordinal1(F) => k5_group_1(A,B,k2_xcmplx_0(F,k1_nat_1(D,1))) = k6_algstr_0(A,k5_group_1(A,B,F),k5_group_1(A,B,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => k5_group_1(A,B,k2_xcmplx_0(G,D)) = k6_algstr_0(A,k5_group_1(A,B,G),k5_group_1(A,B,D)) ) ) ) ) )).
fof(s2_nat_1__e3_41__int_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,B) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( C = k4_card_1(k7_polynom5(A,B)) & r1_xxreal_0(C,k5_numbers) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & v1_uproots(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,E) = D & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( F = k4_card_1(k7_polynom5(A,E)) & r1_xxreal_0(F,D) ) ) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & v1_uproots(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,G) = k1_nat_1(D,1) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( H = k4_card_1(k7_polynom5(A,G)) & r1_xxreal_0(H,k1_nat_1(D,1)) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(I,A) & v1_uproots(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,I) = D & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( J = k4_card_1(k7_polynom5(A,I)) & r1_xxreal_0(J,D) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_41__lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ( ( ( r1_xxreal_0(k5_numbers,k39_glib_000(B)) => k2_relset_1(k4_ordinal1,k5_lexbfs(A,B,k5_numbers)) = k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k39_glib_000(B)),k2_finseq_1(k7_nat_d(k39_glib_000(B),k5_numbers))) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k39_glib_000(B)) => k2_relset_1(k4_ordinal1,k5_lexbfs(A,B,C)) = k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k39_glib_000(B)),k2_finseq_1(k7_nat_d(k39_glib_000(B),C))) ) => ( r1_xxreal_0(k1_nat_1(C,1),k39_glib_000(B)) => k2_relset_1(k4_ordinal1,k5_lexbfs(A,B,k1_nat_1(C,1))) = k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k39_glib_000(B)),k2_finseq_1(k7_nat_d(k39_glib_000(B),k1_nat_1(C,1)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k39_glib_000(B)) => k2_relset_1(k4_ordinal1,k5_lexbfs(A,B,C)) = k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k39_glib_000(B)),k2_finseq_1(k7_nat_d(k39_glib_000(B),C))) ) ) ) ) )).
fof(s2_nat_1__e3_41__wsierp_1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) => k2_xcmplx_0(k1_funct_1(A,k5_numbers),k18_rvsum_1(k3_wsierp_1(k1_numbers,k5_numbers,A))) = k18_rvsum_1(A) ) & ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) => k2_xcmplx_0(k1_funct_1(A,B),k18_rvsum_1(k3_wsierp_1(k1_numbers,B,A))) = k18_rvsum_1(A) ) => ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) => k2_xcmplx_0(k1_funct_1(A,k1_nat_1(B,1)),k18_rvsum_1(k3_wsierp_1(k1_numbers,k1_nat_1(B,1),A))) = k18_rvsum_1(A) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => k2_xcmplx_0(k1_funct_1(A,B),k18_rvsum_1(k3_wsierp_1(k1_numbers,B,A))) = k18_rvsum_1(A) ) ) ) ) )).
fof(s2_nat_1__e3_42__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),k2_xcmplx_0(k2_xcmplx_0(C,k3_xcmplx_0(k5_numbers,A)),k7_xcmplx_0(A,2))) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,D),1)),E) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,D),1)),k2_xcmplx_0(k2_xcmplx_0(E,k3_xcmplx_0(D,A)),k7_xcmplx_0(A,2))) ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(D,1)),1)),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(D,1)),1)),k2_xcmplx_0(k2_xcmplx_0(F,k3_xcmplx_0(k1_nat_1(D,1),A)),k7_xcmplx_0(A,2))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,D),1)),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k3_xcmplx_0(2,D),1)),k2_xcmplx_0(k2_xcmplx_0(G,k3_xcmplx_0(D,A)),k7_xcmplx_0(A,2))) ) ) ) ) )).
fof(s2_nat_1__e3_42__fib_num2,axiom,( ( k6_xcmplx_0(k2_nat_1(k1_pre_ff(k5_numbers),k1_pre_ff(k1_nat_1(k5_numbers,2))),k1_pepin(k1_pre_ff(k1_nat_1(k5_numbers,1)))) = k1_newton(k4_xcmplx_0(1),k1_nat_1(k5_numbers,1)) & ! [A] : ( v7_ordinal1(A) => ( k6_xcmplx_0(k2_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,2))),k1_pepin(k1_pre_ff(k1_nat_1(A,1)))) = k1_newton(k4_xcmplx_0(1),k1_nat_1(A,1)) => k6_xcmplx_0(k2_nat_1(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),2))),k1_pepin(k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1)))) = k1_newton(k4_xcmplx_0(1),k1_nat_1(k1_nat_1(A,1),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k6_xcmplx_0(k2_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,2))),k1_pepin(k1_pre_ff(k1_nat_1(A,1)))) = k1_newton(k4_xcmplx_0(1),k1_nat_1(A,1)) ) )).
fof(s2_nat_1__e3_42__group_17,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(A)))) = k5_numbers & k5_numbers != k5_numbers & ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & v2_group_7(C,B) & v3_group_7(C,B) & v4_group_7(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_group_7(B,C)),u1_struct_0(A)) & v1_group_6(D,k2_group_7(B,C),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(B,C)),u1_struct_0(A)))) ) => ~ ( B = k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(A))) & ! [E] : ( m1_subset_1(E,B) => ( v15_algstr_0(k1_group_7(B,C,E)) & m1_group_2(k1_group_7(B,C,E),A) & k7_struct_0(k1_group_7(B,C,E)) = k1_funct_1(k13_nat_3(k7_group_1(A)),E) ) ) & ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ( E != F => k3_xboole_0(u1_struct_0(k1_group_7(B,C,E)),u1_struct_0(k1_group_7(B,C,F))) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) ) ) ) & v3_funct_2(D,u1_struct_0(k2_group_7(B,C)),u1_struct_0(A)) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,B) & v5_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v1_partfun1(E,B) ) => ( ! [F] : ( m1_subset_1(F,B) => r1_struct_0(k1_group_7(B,C,F),k1_funct_1(E,F)) ) => ( r1_struct_0(k2_group_7(B,C),E) & k1_funct_1(D,E) = k1_group_17(A,B,E) ) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( ~ v2_struct_0(H) & v8_struct_0(H) & v15_algstr_0(H) & v2_group_1(H) & v3_group_1(H) & v5_group_1(H) & l3_algstr_0(H) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(H)))) = G & G != k5_numbers & ! [I] : ( ( ~ v1_xboole_0(I) & v1_finset_1(I) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,I) & v1_funct_1(J) & v1_partfun1(J,I) & v1_group_7(J) & v2_group_7(J,I) & v3_group_7(J,I) & v4_group_7(J,I) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(k2_group_7(I,J)),u1_struct_0(H)) & v1_group_6(K,k2_group_7(I,J),H) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(I,J)),u1_struct_0(H)))) ) => ~ ( I = k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(H))) & ! [L] : ( m1_subset_1(L,I) => ( v15_algstr_0(k1_group_7(I,J,L)) & m1_group_2(k1_group_7(I,J,L),H) & k7_struct_0(k1_group_7(I,J,L)) = k1_funct_1(k13_nat_3(k7_group_1(H)),L) ) ) & ! [L] : ( m1_subset_1(L,I) => ! [M] : ( m1_subset_1(M,I) => ( L != M => k3_xboole_0(u1_struct_0(k1_group_7(I,J,L)),u1_struct_0(k1_group_7(I,J,M))) = k6_domain_1(u1_struct_0(H),k1_group_1(H)) ) ) ) & v3_funct_2(K,u1_struct_0(k2_group_7(I,J)),u1_struct_0(H)) & ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,I) & v5_relat_1(L,u1_struct_0(H)) & v1_funct_1(L) & v1_partfun1(L,I) ) => ( ! [M] : ( m1_subset_1(M,I) => r1_struct_0(k1_group_7(I,J,M),k1_funct_1(L,M)) ) => ( r1_struct_0(k2_group_7(I,J),L) & k1_funct_1(K,L) = k1_group_17(H,I,L) ) ) ) ) ) ) ) ) ) => ! [N] : ( ( ~ v2_struct_0(N) & v8_struct_0(N) & v15_algstr_0(N) & v2_group_1(N) & v3_group_1(N) & v5_group_1(N) & l3_algstr_0(N) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(N)))) = k1_nat_1(G,1) & k1_nat_1(G,1) != k5_numbers & ! [O] : ( ( ~ v1_xboole_0(O) & v1_finset_1(O) ) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,O) & v1_funct_1(P) & v1_partfun1(P,O) & v1_group_7(P) & v2_group_7(P,O) & v3_group_7(P,O) & v4_group_7(P,O) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,u1_struct_0(k2_group_7(O,P)),u1_struct_0(N)) & v1_group_6(Q,k2_group_7(O,P),N) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(O,P)),u1_struct_0(N)))) ) => ~ ( O = k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(N))) & ! [R] : ( m1_subset_1(R,O) => ( v15_algstr_0(k1_group_7(O,P,R)) & m1_group_2(k1_group_7(O,P,R),N) & k7_struct_0(k1_group_7(O,P,R)) = k1_funct_1(k13_nat_3(k7_group_1(N)),R) ) ) & ! [R] : ( m1_subset_1(R,O) => ! [S] : ( m1_subset_1(S,O) => ( R != S => k3_xboole_0(u1_struct_0(k1_group_7(O,P,R)),u1_struct_0(k1_group_7(O,P,S))) = k6_domain_1(u1_struct_0(N),k1_group_1(N)) ) ) ) & v3_funct_2(Q,u1_struct_0(k2_group_7(O,P)),u1_struct_0(N)) & ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,O) & v5_relat_1(R,u1_struct_0(N)) & v1_funct_1(R) & v1_partfun1(R,O) ) => ( ! [S] : ( m1_subset_1(S,O) => r1_struct_0(k1_group_7(O,P,S),k1_funct_1(R,S)) ) => ( r1_struct_0(k2_group_7(O,P),R) & k1_funct_1(Q,R) = k1_group_17(N,O,R) ) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [T] : ( ( ~ v2_struct_0(T) & v8_struct_0(T) & v15_algstr_0(T) & v2_group_1(T) & v3_group_1(T) & v5_group_1(T) & l3_algstr_0(T) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(T)))) = G & G != k5_numbers & ! [U] : ( ( ~ v1_xboole_0(U) & v1_finset_1(U) ) => ! [V] : ( ( v1_relat_1(V) & v4_relat_1(V,U) & v1_funct_1(V) & v1_partfun1(V,U) & v1_group_7(V) & v2_group_7(V,U) & v3_group_7(V,U) & v4_group_7(V,U) ) => ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,u1_struct_0(k2_group_7(U,V)),u1_struct_0(T)) & v1_group_6(W,k2_group_7(U,V),T) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(U,V)),u1_struct_0(T)))) ) => ~ ( U = k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(T))) & ! [X] : ( m1_subset_1(X,U) => ( v15_algstr_0(k1_group_7(U,V,X)) & m1_group_2(k1_group_7(U,V,X),T) & k7_struct_0(k1_group_7(U,V,X)) = k1_funct_1(k13_nat_3(k7_group_1(T)),X) ) ) & ! [X] : ( m1_subset_1(X,U) => ! [Y] : ( m1_subset_1(Y,U) => ( X != Y => k3_xboole_0(u1_struct_0(k1_group_7(U,V,X)),u1_struct_0(k1_group_7(U,V,Y))) = k6_domain_1(u1_struct_0(T),k1_group_1(T)) ) ) ) & v3_funct_2(W,u1_struct_0(k2_group_7(U,V)),u1_struct_0(T)) & ! [X] : ( ( v1_relat_1(X) & v4_relat_1(X,U) & v5_relat_1(X,u1_struct_0(T)) & v1_funct_1(X) & v1_partfun1(X,U) ) => ( ! [Y] : ( m1_subset_1(Y,U) => r1_struct_0(k1_group_7(U,V,Y),k1_funct_1(X,Y)) ) => ( r1_struct_0(k2_group_7(U,V),X) & k1_funct_1(W,X) = k1_group_17(T,U,X) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_42__pnproc_1,axiom,( ! [A] : ( ( ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( ( k3_finseq_1(B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( m1_pnproc_1(D,A) => k1_funct_1(B,C) != k7_pnproc_1(A,D) ) ) ) ) => ( k9_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),B)) = k9_funct_2(A,k4_ordinal1) & r1_tarski(k10_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),B)),k9_funct_2(A,k4_ordinal1)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_funcop_1(F) & v1_finseq_1(F) ) => ( ( k3_finseq_1(F) = E & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(F)) & ! [H] : ( m1_pnproc_1(H,A) => k1_funct_1(F,G) != k7_pnproc_1(A,H) ) ) ) ) => ( k9_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),F)) = k9_funct_2(A,k4_ordinal1) & r1_tarski(k10_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),F)),k9_funct_2(A,k4_ordinal1)) ) ) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_funcop_1(I) & v1_finseq_1(I) ) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(I)) & ! [K] : ( m1_pnproc_1(K,A) => k1_funct_1(I,J) != k7_pnproc_1(A,K) ) ) ) ) => ( k9_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),I)) = k9_funct_2(A,k4_ordinal1) & r1_tarski(k10_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),I)),k9_funct_2(A,k4_ordinal1)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_funcop_1(L) & v1_finseq_1(L) ) => ( ( k3_finseq_1(L) = E & ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k4_finseq_1(L)) & ! [N] : ( m1_pnproc_1(N,A) => k1_funct_1(L,M) != k7_pnproc_1(A,N) ) ) ) ) => ( k9_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),L)) = k9_funct_2(A,k4_ordinal1) & r1_tarski(k10_xtuple_0(k3_funct_7(k9_funct_2(A,k4_ordinal1),L)),k9_funct_2(A,k4_ordinal1)) ) ) ) ) ) )).
fof(s2_nat_1__e3_42__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(G,u1_struct_0(C)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k5_numbers,1)),H) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k5_numbers,1)),H),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),J) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),J),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k1_nat_1(I,1),1)),K) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k1_nat_1(I,1),1)),K),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),L) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),L),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e3_43_4__waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v13_waybel_0(B,A) & v1_waybel_6(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( F = k3_funct_2(k4_ordinal1,B,C,D) & E = k1_funct_1(C,k5_numbers) & r1_xxreal_0(D,k5_numbers) ) => r3_orders_2(A,E,F) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( J = k3_funct_2(k4_ordinal1,B,C,H) & I = k1_funct_1(C,G) & r1_xxreal_0(H,G) ) => r3_orders_2(A,I,J) ) ) ) ) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ( M = k3_funct_2(k4_ordinal1,B,C,K) & L = k1_funct_1(C,k1_nat_1(G,1)) & r1_xxreal_0(K,k1_nat_1(G,1)) ) => r3_orders_2(A,L,M) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ( ( P = k3_funct_2(k4_ordinal1,B,C,N) & O = k1_funct_1(C,G) & r1_xxreal_0(N,G) ) => r3_orders_2(A,O,P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_43__funct_9,axiom,( ( v1_funct_9(k26_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k26_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) => v1_funct_9(k26_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k26_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_43__group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => k5_group_1(A,B,k3_xcmplx_0(C,k5_numbers)) = k5_group_1(A,k5_group_1(A,B,C),k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => k5_group_1(A,B,k3_xcmplx_0(E,D)) = k5_group_1(A,k5_group_1(A,B,E),D) ) => ! [F] : ( v7_ordinal1(F) => k5_group_1(A,B,k3_xcmplx_0(F,k1_nat_1(D,1))) = k5_group_1(A,k5_group_1(A,B,F),k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => k5_group_1(A,B,k3_xcmplx_0(G,D)) = k5_group_1(A,k5_group_1(A,B,G),D) ) ) ) ) )).
fof(s2_nat_1__e3_43__sin_cos2,axiom,( ( ! [A] : ( v1_xreal_0(A) => k1_newton(k2_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k1_sin_cos2,A)),k5_numbers) = k2_xcmplx_0(k1_funct_1(k3_sin_cos2,k3_xcmplx_0(k5_numbers,A)),k1_funct_1(k1_sin_cos2,k3_xcmplx_0(k5_numbers,A))) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v1_xreal_0(C) => k1_newton(k2_xcmplx_0(k1_funct_1(k3_sin_cos2,C),k1_funct_1(k1_sin_cos2,C)),B) = k2_xcmplx_0(k1_funct_1(k3_sin_cos2,k3_xcmplx_0(B,C)),k1_funct_1(k1_sin_cos2,k3_xcmplx_0(B,C))) ) => ! [D] : ( v1_xreal_0(D) => k1_newton(k2_xcmplx_0(k1_funct_1(k3_sin_cos2,D),k1_funct_1(k1_sin_cos2,D)),k1_nat_1(B,1)) = k2_xcmplx_0(k1_funct_1(k3_sin_cos2,k3_xcmplx_0(k1_nat_1(B,1),D)),k1_funct_1(k1_sin_cos2,k3_xcmplx_0(k1_nat_1(B,1),D))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v1_xreal_0(E) => k1_newton(k2_xcmplx_0(k1_funct_1(k3_sin_cos2,E),k1_funct_1(k1_sin_cos2,E)),B) = k2_xcmplx_0(k1_funct_1(k3_sin_cos2,k3_xcmplx_0(B,E)),k1_funct_1(k1_sin_cos2,k3_xcmplx_0(B,E))) ) ) )).
fof(s2_nat_1__e3_44_1__matrprob,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k2_vectsp_1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1)))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k8_nat_1(k1_numbers,B,k5_numbers) = k8_nat_1(u1_struct_0(k2_vectsp_1),C,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k3_finseq_1(A)) => k8_nat_1(k1_numbers,B,D) = k8_nat_1(u1_struct_0(k2_vectsp_1),C,D) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) => k8_nat_1(k1_numbers,B,k1_nat_1(D,1)) = k8_nat_1(u1_struct_0(k2_vectsp_1),C,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(A)) => k8_nat_1(k1_numbers,B,D) = k8_nat_1(u1_struct_0(k2_vectsp_1),C,D) ) ) ) ) )).
fof(s2_nat_1__e3_44__finseq_3,axiom,( ( ! [A] : ( v7_ordinal1(A) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k2_xcmplx_0(A,k5_numbers))),k2_finseq_1(A)),k14_finseq_1(k2_finseq_1(A))) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k2_xcmplx_0(C,B))),k2_finseq_1(C)),k14_finseq_1(k2_finseq_1(C))) ) => ! [D] : ( v7_ordinal1(D) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k2_xcmplx_0(D,k1_nat_1(B,1)))),k2_finseq_1(D)),k14_finseq_1(k2_finseq_1(D))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => r2_relset_1(k4_ordinal1,k4_ordinal1,k2_partfun1(k4_ordinal1,k4_ordinal1,k14_finseq_1(k2_finseq_1(k2_xcmplx_0(E,B))),k2_finseq_1(E)),k14_finseq_1(k2_finseq_1(E))) ) ) )).
fof(s2_nat_1__e3_44__fsm_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_rewrite3(B,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A)))) ) => ( ( ! [C] : ( m1_rewrite1(C,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),B)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ~ ( k3_finseq_1(C) = k5_numbers & k2_xtuple_0(k1_funct_1(C,1)) = D & k2_xtuple_0(k1_funct_1(C,k3_finseq_1(C))) = k2_flang_1(A) & r1_xxreal_0(k3_finseq_1(C),k1_afinsq_1(D)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_rewrite1(F,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),B)) => ! [G] : ( m1_subset_1(G,k8_afinsq_1(A)) => ~ ( k3_finseq_1(F) = E & k2_xtuple_0(k1_funct_1(F,1)) = G & k2_xtuple_0(k1_funct_1(F,k3_finseq_1(F))) = k2_flang_1(A) & r1_xxreal_0(k3_finseq_1(F),k1_afinsq_1(G)) ) ) ) => ! [H] : ( m1_rewrite1(H,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),B)) => ! [I] : ( m1_subset_1(I,k8_afinsq_1(A)) => ~ ( k3_finseq_1(H) = k1_nat_1(E,1) & k2_xtuple_0(k1_funct_1(H,1)) = I & k2_xtuple_0(k1_funct_1(H,k3_finseq_1(H))) = k2_flang_1(A) & r1_xxreal_0(k3_finseq_1(H),k1_afinsq_1(I)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m1_rewrite1(J,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),B)) => ! [K] : ( m1_subset_1(K,k8_afinsq_1(A)) => ~ ( k3_finseq_1(J) = E & k2_xtuple_0(k1_funct_1(J,1)) = K & k2_xtuple_0(k1_funct_1(J,k3_finseq_1(J))) = k2_flang_1(A) & r1_xxreal_0(k3_finseq_1(J),k1_afinsq_1(K)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_44__group_10,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ( k3_xcmplx_0(k1_newton(D,k5_numbers),A) = k3_xcmplx_0(B,C) => ( r1_nat_d(D,A) | r1_nat_d(D,C) | r1_nat_d(k1_newton(D,k5_numbers),B) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v7_ordinal1(I) & v1_int_2(I) ) => ( k3_xcmplx_0(k1_newton(I,E),F) = k3_xcmplx_0(G,H) => ( r1_nat_d(I,F) | r1_nat_d(I,H) | r1_nat_d(k1_newton(I,E),G) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v7_ordinal1(M) & v1_int_2(M) ) => ( k3_xcmplx_0(k1_newton(M,k1_nat_1(E,1)),J) = k3_xcmplx_0(K,L) => ( r1_nat_d(M,J) | r1_nat_d(M,L) | r1_nat_d(k1_newton(M,k1_nat_1(E,1)),K) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( ( v7_ordinal1(Q) & v1_int_2(Q) ) => ( k3_xcmplx_0(k1_newton(Q,E),N) = k3_xcmplx_0(O,P) => ( r1_nat_d(Q,N) | r1_nat_d(Q,P) | r1_nat_d(k1_newton(Q,E),O) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_44__zmodul04,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ( k1_zmodul03(A) = k5_numbers => v1_zmodul03(B) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v2_zmodul01(D) & v3_zmodul01(D) & v4_zmodul01(D) & v5_zmodul01(D) & v1_zmodul03(D) & v2_zmodul03(D) & l1_zmodul01(D) ) => ! [E] : ( m1_zmodul01(E,D) => ( k1_zmodul03(D) = C => v1_zmodul03(E) ) ) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v2_zmodul01(F) & v3_zmodul01(F) & v4_zmodul01(F) & v5_zmodul01(F) & v1_zmodul03(F) & v2_zmodul03(F) & l1_zmodul01(F) ) => ! [G] : ( m1_zmodul01(G,F) => ( k1_zmodul03(F) = k1_nat_1(C,1) => v1_zmodul03(G) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( ~ v2_struct_0(H) & v13_algstr_0(H) & v2_rlvect_1(H) & v3_rlvect_1(H) & v4_rlvect_1(H) & v2_zmodul01(H) & v3_zmodul01(H) & v4_zmodul01(H) & v5_zmodul01(H) & v1_zmodul03(H) & v2_zmodul03(H) & l1_zmodul01(H) ) => ! [I] : ( m1_zmodul01(I,H) => ( k1_zmodul03(H) = C => v1_zmodul03(I) ) ) ) ) )).
fof(s2_nat_1__e3_45_4__trees_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ( ( ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( C = k1_funct_1(A,B) & D = k1_funct_1(A,k2_xcmplx_0(B,k5_numbers)) ) => r1_tarski(C,D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ( ( F = k1_funct_1(A,B) & G = k1_funct_1(A,k2_xcmplx_0(B,E)) ) => r1_tarski(F,G) ) ) ) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ! [I] : ( m2_finseq_1(I,k4_ordinal1) => ( ( H = k1_funct_1(A,B) & I = k1_funct_1(A,k2_xcmplx_0(B,k1_nat_1(E,1))) ) => r1_tarski(H,I) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,k4_ordinal1) => ! [K] : ( m2_finseq_1(K,k4_ordinal1) => ( ( J = k1_funct_1(A,B) & K = k1_funct_1(A,k2_xcmplx_0(B,E)) ) => r1_tarski(J,K) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_45__fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k8_afinsq_1(A)) & ~ v2_struct_0(C) & l1_rewrite3(C,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A)))) ) => ( ( ! [D] : ( m1_rewrite1(D,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),C)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ~ ( k3_finseq_1(D) = k5_numbers & k2_xtuple_0(k1_funct_1(D,1)) = k1_flang_1(A,E,B) & k2_xtuple_0(k1_funct_1(D,k3_finseq_1(D))) = k2_flang_1(A) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(D)) & k2_xtuple_0(k1_funct_1(D,F)) = B ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_rewrite1(H,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),C)) => ! [I] : ( m1_subset_1(I,k8_afinsq_1(A)) => ~ ( k3_finseq_1(H) = G & k2_xtuple_0(k1_funct_1(H,1)) = k1_flang_1(A,I,B) & k2_xtuple_0(k1_funct_1(H,k3_finseq_1(H))) = k2_flang_1(A) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(H)) & k2_xtuple_0(k1_funct_1(H,J)) = B ) ) ) ) ) => ! [K] : ( m1_rewrite1(K,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),C)) => ! [L] : ( m1_subset_1(L,k8_afinsq_1(A)) => ~ ( k3_finseq_1(K) = k1_nat_1(G,1) & k2_xtuple_0(k1_funct_1(K,1)) = k1_flang_1(A,L,B) & k2_xtuple_0(k1_funct_1(K,k3_finseq_1(K))) = k2_flang_1(A) & ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k4_finseq_1(K)) & k2_xtuple_0(k1_funct_1(K,M)) = B ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m1_rewrite1(N,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),C)) => ! [O] : ( m1_subset_1(O,k8_afinsq_1(A)) => ~ ( k3_finseq_1(N) = G & k2_xtuple_0(k1_funct_1(N,1)) = k1_flang_1(A,O,B) & k2_xtuple_0(k1_funct_1(N,k3_finseq_1(N))) = k2_flang_1(A) & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(N)) & k2_xtuple_0(k1_funct_1(N,P)) = B ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_45__funct_9,axiom,( ( v1_funct_9(k27_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k27_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) => v1_funct_9(k27_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k27_sin_cos,k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_45__group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,B,k5_group_1(A,C,k5_numbers)) = k6_algstr_0(A,k5_group_1(A,C,k5_numbers),B) ) & ! [D] : ( v7_ordinal1(D) => ( ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,B,k5_group_1(A,C,D)) = k6_algstr_0(A,k5_group_1(A,C,D),B) ) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,B,k5_group_1(A,C,k1_nat_1(D,1))) = k6_algstr_0(A,k5_group_1(A,C,k1_nat_1(D,1)),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,B,k5_group_1(A,C,D)) = k6_algstr_0(A,k5_group_1(A,C,D),B) ) ) ) ) )).
fof(s2_nat_1__e3_45__lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ( ( v2_funct_1(k5_lexbfs(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( v2_funct_1(k5_lexbfs(A,B,C)) => v2_funct_1(k5_lexbfs(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v2_funct_1(k5_lexbfs(A,B,C)) ) ) ) )).
fof(s2_nat_1__e3_45__nat_5,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( v1_int_2(A) => k5_nat_5(k1_newton(A,k5_numbers)) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(A,k1_nat_1(k5_numbers,1)),1),k6_xcmplx_0(A,1)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( v1_int_2(C) => k5_nat_5(k1_newton(C,B)) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(C,k1_nat_1(B,1)),1),k6_xcmplx_0(C,1)) ) ) => ! [D] : ( v7_ordinal1(D) => ( v1_int_2(D) => k5_nat_5(k1_newton(D,k1_nat_1(B,1))) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(D,k1_nat_1(k1_nat_1(B,1),1)),1),k6_xcmplx_0(D,1)) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => ( v1_int_2(E) => k5_nat_5(k1_newton(E,B)) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(E,k1_nat_1(B,1)),1),k6_xcmplx_0(E,1)) ) ) ) )).
fof(s2_nat_1__e3_45__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k5_numbers),G) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k5_numbers),k3_rlvect_1(C,G,k5_binom(C,F,k5_numbers))) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),H),I) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),H),k3_rlvect_1(C,I,k5_binom(C,F,H))) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),J) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),k3_rlvect_1(C,J,k5_binom(C,F,k1_nat_1(H,1)))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),H),K) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),H),k3_rlvect_1(C,K,k5_binom(C,F,H))) ) ) ) ) )).
fof(s2_nat_1__e3_46_1__newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(k5_numbers,k3_xcmplx_0(k5_numbers,A)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k3_xcmplx_0(B,A)) => r1_xxreal_0(k1_nat_1(B,1),k3_xcmplx_0(k1_nat_1(B,1),A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(B,k3_xcmplx_0(B,A)) ) ) ) )).
fof(s2_nat_1__e3_46__finseq_3,axiom,( ( k14_finseq_1(k2_finseq_1(k5_numbers)) = k1_finseq_2(k5_numbers) & ! [A] : ( v7_ordinal1(A) => ( k14_finseq_1(k2_finseq_1(A)) = k1_finseq_2(A) => k14_finseq_1(k2_finseq_1(k1_nat_1(A,1))) = k1_finseq_2(k1_nat_1(A,1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k14_finseq_1(k2_finseq_1(A)) = k1_finseq_2(A) ) )).
fof(s2_nat_1__e3_46__fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ( r1_tarski(k1_funct_1(k25_fomodel1(A),k5_numbers),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k1_funct_1(k25_fomodel1(A),B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => r1_tarski(k1_funct_1(k25_fomodel1(A),k1_nat_1(B,1)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(k25_fomodel1(A),B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) ) ) )).
fof(s2_nat_1__e3_46__group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,k5_group_1(A,B,k5_numbers),k5_group_1(A,C,D)) = k6_algstr_0(A,k5_group_1(A,C,D),k5_group_1(A,B,k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,k5_group_1(A,B,E),k5_group_1(A,C,F)) = k6_algstr_0(A,k5_group_1(A,C,F),k5_group_1(A,B,E)) ) ) => ! [G] : ( v7_ordinal1(G) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,k5_group_1(A,B,k1_nat_1(E,1)),k5_group_1(A,C,G)) = k6_algstr_0(A,k5_group_1(A,C,G),k5_group_1(A,B,k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k6_algstr_0(A,k5_group_1(A,B,E),k5_group_1(A,C,H)) = k6_algstr_0(A,k5_group_1(A,C,H),k5_group_1(A,B,E)) ) ) ) ) ) )).
fof(s2_nat_1__e3_46__int_5,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( ( k3_finseq_1(A) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => ( ~ r1_xxreal_0(k1_recdef_1(A,B),k5_numbers) & r1_xxreal_0(k1_recdef_1(A,B),k5_numbers) ) ) ) & v2_funct_1(A) ) => k2_relset_1(k4_ordinal1,A) = k2_finseq_1(k5_numbers) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ( ~ r1_xxreal_0(k1_recdef_1(D,E),k5_numbers) & r1_xxreal_0(k1_recdef_1(D,E),C) ) ) ) & v2_funct_1(D) ) => k2_relset_1(k4_ordinal1,D) = k2_finseq_1(C) ) ) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => ( ~ r1_xxreal_0(k1_recdef_1(F,G),k5_numbers) & r1_xxreal_0(k1_recdef_1(F,G),k1_nat_1(C,1)) ) ) ) & v2_funct_1(F) ) => k2_relset_1(k4_ordinal1,F) = k2_finseq_1(k1_nat_1(C,1)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ( ( k3_finseq_1(H) = C & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => ( ~ r1_xxreal_0(k1_recdef_1(H,I),k5_numbers) & r1_xxreal_0(k1_recdef_1(H,I),C) ) ) ) & v2_funct_1(H) ) => k2_relset_1(k4_ordinal1,H) = k2_finseq_1(C) ) ) ) )).
fof(s2_nat_1__e3_47_1_2_2__entropy1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k3_finseq_2(k1_numbers)) & m2_finseq_1(B,k1_numbers) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(B)) => k1_funct_1(B,k5_numbers) = k1_funct_1(k3_matrprob(A),k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_funct_1(k3_matrprob(A),C) ) => ( r2_tarski(k1_nat_1(C,1),k4_finseq_1(B)) => k1_funct_1(B,k1_nat_1(C,1)) = k1_funct_1(k3_matrprob(A),k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k1_funct_1(k3_matrprob(A),C) ) ) ) ) )).
fof(s2_nat_1__e3_47_1_2_3__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,k5_numbers),k8_nat_1(u1_struct_0(A),B,C)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(D,C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,D),k8_nat_1(u1_struct_0(A),B,C)) ) => ( ~ r1_xxreal_0(k1_nat_1(D,1),C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,k1_nat_1(D,1)),k8_nat_1(u1_struct_0(A),B,C)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,D),k8_nat_1(u1_struct_0(A),B,C)) ) ) ) ) )).
fof(s2_nat_1__e3_47_1_2_4__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,C) & r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( ~ r1_xxreal_0(D,C) & r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,D)) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(D,1),C) & r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,C) & r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,D)) ) ) ) ) )).
fof(s2_nat_1__e3_47__diff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k5_numbers,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k5_numbers),B),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k5_numbers),k6_xcmplx_0(B,A))) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(D,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),D),B),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),D),k6_xcmplx_0(B,A))) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(k1_nat_1(D,1),1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(D,1)),B),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(D,1)),k6_xcmplx_0(B,A))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),k1_nat_1(D,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),D),B),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),D),k6_xcmplx_0(B,A))) ) ) ) )).
fof(s2_nat_1__e3_47__fomodel1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( ( r1_tarski(k1_funct_1(k25_fomodel1(B),A),k1_funct_1(k25_fomodel1(B),k2_xcmplx_0(A,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k1_funct_1(k25_fomodel1(B),A),k1_funct_1(k25_fomodel1(B),k2_xcmplx_0(A,C))) => r1_tarski(k1_funct_1(k25_fomodel1(B),A),k1_funct_1(k25_fomodel1(B),k2_xcmplx_0(A,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_funct_1(k25_fomodel1(B),A),k1_funct_1(k25_fomodel1(B),k2_xcmplx_0(A,C))) ) ) ) )).
fof(s2_nat_1__e3_47__group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k5_group_1(A,k6_algstr_0(A,B,C),k5_numbers) = k6_algstr_0(A,k5_group_1(A,B,k5_numbers),k5_group_1(A,C,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k5_group_1(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,k5_group_1(A,B,D),k5_group_1(A,C,D)) ) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k5_group_1(A,k6_algstr_0(A,B,C),k1_nat_1(D,1)) = k6_algstr_0(A,k5_group_1(A,B,k1_nat_1(D,1)),k5_group_1(A,C,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) => k5_group_1(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,k5_group_1(A,B,D),k5_group_1(A,C,D)) ) ) ) ) )).
fof(s2_nat_1__e3_47__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice8(D,A,B,C) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(E,k5_numbers) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(E,F) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,F))) ) => ( r1_xxreal_0(E,k1_nat_1(F,1)) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(E,F) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,F))) ) ) ) ) )).
fof(s2_nat_1__e3_47__rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_rlvect_2(C,A) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(A,C)),k5_numbers) => k6_rlvect_2(A,k1_rlaffin1(A,C,B)) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_rlaffin1(A,C)),k6_rlvect_2(A,C)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_rlvect_2(E,A) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(A,E)),D) => k6_rlvect_2(A,k1_rlaffin1(A,E,B)) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_rlaffin1(A,E)),k6_rlvect_2(A,E)) ) ) => ! [F] : ( m1_rlvect_2(F,A) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(A,F)),k1_nat_1(D,1)) => k6_rlvect_2(A,k1_rlaffin1(A,F,B)) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_rlaffin1(A,F)),k6_rlvect_2(A,F)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m1_rlvect_2(G,A) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(A,G)),D) => k6_rlvect_2(A,k1_rlaffin1(A,G,B)) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_rlaffin1(A,G)),k6_rlvect_2(A,G)) ) ) ) ) ) )).
fof(s2_nat_1__e3_48_5__int_7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m1_subset_1(B,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(k1_recdef_1(A,k2_xcmplx_0(k1_nat_1(B,1),k5_numbers)),k1_recdef_1(A,B)) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k1_recdef_1(A,k2_xcmplx_0(k1_nat_1(B,1),C)),k1_recdef_1(A,B)) => ~ r1_xxreal_0(k1_recdef_1(A,k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(C,1))),k1_recdef_1(A,B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k1_recdef_1(A,k2_xcmplx_0(k1_nat_1(B,1),C)),k1_recdef_1(A,B)) ) ) ) )).
fof(s2_nat_1__e3_48__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow11(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice8(D,A,B,C) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(E,k5_numbers) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(E,F) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,F))) ) => ( r1_xxreal_0(E,k1_nat_1(F,1)) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(E,F) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,F))) ) ) ) ) )).
fof(s2_nat_1__e3_48__rlaffin1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ( ! [C] : ( m1_rlvect_2(C,B) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(B,C)),k5_numbers) => k6_rlvect_2(B,k2_rlaffin1(B,C,A)) = k1_rlvect_1(B,k6_rlvect_2(B,C),A) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_rlvect_2(E,B) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(B,E)),D) => k6_rlvect_2(B,k2_rlaffin1(B,E,A)) = k1_rlvect_1(B,k6_rlvect_2(B,E),A) ) ) => ! [F] : ( m1_rlvect_2(F,B) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(B,F)),k1_nat_1(D,1)) => k6_rlvect_2(B,k2_rlaffin1(B,F,A)) = k1_rlvect_1(B,k6_rlvect_2(B,F),A) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m1_rlvect_2(G,B) => ( r1_xxreal_0(k4_card_1(k3_rlvect_2(B,G)),D) => k6_rlvect_2(B,k2_rlaffin1(B,G,A)) = k1_rlvect_1(B,k6_rlvect_2(B,G),A) ) ) ) ) ) )).
fof(s2_nat_1__e3_49__funct_9,axiom,( ( v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) => v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_49__nat_4,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ~ ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r2_tarski(B,k4_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A,B),k5_numbers) ) ) & k3_finseq_1(A) = k5_numbers & r1_xxreal_0(k21_rvsum_1(A),k5_numbers) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_numbers) => ~ ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k4_finseq_1(D)) & r1_xxreal_0(k1_funct_1(D,E),k5_numbers) ) ) & k3_finseq_1(D) = C & r1_xxreal_0(k21_rvsum_1(D),k5_numbers) ) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( r2_tarski(G,k4_finseq_1(F)) & r1_xxreal_0(k1_funct_1(F,G),k5_numbers) ) ) & k3_finseq_1(F) = k1_nat_1(C,1) & r1_xxreal_0(k21_rvsum_1(F),k5_numbers) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ~ ( ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(H)) & r1_xxreal_0(k1_funct_1(H,I),k5_numbers) ) ) & k3_finseq_1(H) = C & r1_xxreal_0(k21_rvsum_1(H),k5_numbers) ) ) ) )).
fof(s2_nat_1__e3_49__scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1))) = k5_numbers & r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1))),k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) ) => ( k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),B,A),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),B,A),k4_scmfsa_2(k1_nat_1(2,1))) = k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))) & ~ ( k5_numbers != k5_numbers & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v1_int_1(D) => ~ ( C = k6_xcmplx_0(k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),B,A),k4_scmfsa_2(k1_nat_1(3,1))),k1_funct_1(B,k4_scmfsa_2(k1_nat_1(3,1)))) & r1_xxreal_0(C,k5_numbers) & ( r1_xxreal_0(1,k6_xcmplx_0(k5_numbers,C)) => ( D = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k5_numbers,C)) & r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(5,1))),D) ) ) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(E,k6_xcmplx_0(k5_numbers,C)) & ~ r1_xxreal_0(k1_nat_1(k5_numbers,1),E) & ! [F] : ( v1_int_1(F) => ~ ( F = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),E) & r1_xxreal_0(F,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(5,1)))) ) ) ) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(H,k4_scmfsa_2(k1_nat_1(1,1))) = G & r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(1,1))),k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) => ( k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),H,A),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),H,A),k4_scmfsa_2(k1_nat_1(2,1))) = k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))) & ~ ( G != k5_numbers & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v1_int_1(J) => ~ ( I = k6_xcmplx_0(k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),H,A),k4_scmfsa_2(k1_nat_1(3,1))),k1_funct_1(H,k4_scmfsa_2(k1_nat_1(3,1)))) & r1_xxreal_0(I,G) & ( r1_xxreal_0(1,k6_xcmplx_0(G,I)) => ( J = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(G,I)) & r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(5,1))),J) ) ) & ! [K] : ( v7_ordinal1(K) => ~ ( ~ r1_xxreal_0(K,k6_xcmplx_0(G,I)) & ~ r1_xxreal_0(k1_nat_1(G,1),K) & ! [L] : ( v1_int_1(L) => ~ ( L = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),K) & r1_xxreal_0(L,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(5,1)))) ) ) ) ) ) ) ) ) ) ) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(M,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(M,k4_scmfsa_2(k1_nat_1(1,1))) = k1_nat_1(G,1) & r1_xxreal_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(1,1))),k3_finseq_1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)))) ) => ( k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),M,A),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),M,A),k4_scmfsa_2(k1_nat_1(2,1))) = k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))) & ~ ( k1_nat_1(G,1) != k5_numbers & ! [N] : ( v7_ordinal1(N) => ! [O] : ( v1_int_1(O) => ~ ( N = k6_xcmplx_0(k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),M,A),k4_scmfsa_2(k1_nat_1(3,1))),k1_funct_1(M,k4_scmfsa_2(k1_nat_1(3,1)))) & r1_xxreal_0(N,k1_nat_1(G,1)) & ( r1_xxreal_0(1,k6_xcmplx_0(k1_nat_1(G,1),N)) => ( O = k1_funct_1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_nat_1(G,1),N)) & r1_xxreal_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(5,1))),O) ) ) & ! [P] : ( v7_ordinal1(P) => ~ ( ~ r1_xxreal_0(P,k6_xcmplx_0(k1_nat_1(G,1),N)) & ~ r1_xxreal_0(k1_nat_1(k1_nat_1(G,1),1),P) & ! [Q] : ( v1_int_1(Q) => ~ ( Q = k1_funct_1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)),P) & r1_xxreal_0(Q,k1_funct_1(M,k4_scmfsa_2(k1_nat_1(5,1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(R) & v5_funct_1(R,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(R,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(R,k4_scmfsa_2(k1_nat_1(1,1))) = G & r1_xxreal_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(1,1))),k3_finseq_1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)))) ) => ( k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),R,A),k5_scmfsa_2(k5_numbers)) = k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)) & k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),R,A),k4_scmfsa_2(k1_nat_1(2,1))) = k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))) & ~ ( G != k5_numbers & ! [S] : ( v7_ordinal1(S) => ! [T] : ( v1_int_1(T) => ~ ( S = k6_xcmplx_0(k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers)))))),R,A),k4_scmfsa_2(k1_nat_1(3,1))),k1_funct_1(R,k4_scmfsa_2(k1_nat_1(3,1)))) & r1_xxreal_0(S,G) & ( r1_xxreal_0(1,k6_xcmplx_0(G,S)) => ( T = k1_funct_1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(G,S)) & r1_xxreal_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(5,1))),T) ) ) & ! [U] : ( v7_ordinal1(U) => ~ ( ~ r1_xxreal_0(U,k6_xcmplx_0(G,S)) & ~ r1_xxreal_0(k1_nat_1(G,1),U) & ! [V] : ( v1_int_1(V) => ~ ( V = k1_funct_1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)),U) & r1_xxreal_0(V,k1_funct_1(R,k4_scmfsa_2(k1_nat_1(5,1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_49__scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,k5_numbers) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,E) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,k1_nat_1(E,1)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,E) ) ) ) ) )).
fof(s2_nat_1__e3_4__binari_4,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,A) & k5_numbers != B & ~ ( r1_xxreal_0(k2_xcmplx_0(k5_numbers,1),B) & r1_xxreal_0(B,A) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(C,E) & r1_xxreal_0(E,D) & C != E & ~ ( r1_xxreal_0(k2_xcmplx_0(C,1),E) & r1_xxreal_0(E,D) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(k1_nat_1(C,1),G) & r1_xxreal_0(G,F) & k1_nat_1(C,1) != G & ~ ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(C,1),1),G) & r1_xxreal_0(G,F) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(C,I) & r1_xxreal_0(I,H) & C != I & ~ ( r1_xxreal_0(k2_xcmplx_0(C,1),I) & r1_xxreal_0(I,H) ) ) ) ) ) )).
fof(s2_nat_1__e3_4__graph_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( v1_finset_1(B) => ( B = a_1_0_graph_2(A) => k4_card_1(B) = k1_nat_1(k5_numbers,1) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v1_finset_1(D) => ( D = a_2_0_graph_2(A,C) => k4_card_1(D) = k1_nat_1(C,1) ) ) => ! [E] : ( v1_finset_1(E) => ( E = a_2_3_graph_2(A,C) => k4_card_1(E) = k1_nat_1(k1_nat_1(C,1),1) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v1_finset_1(F) => ( F = a_2_0_graph_2(A,C) => k4_card_1(F) = k1_nat_1(C,1) ) ) ) ) ) )).
fof(s2_nat_1__e3_4__integra8,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k17_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k5_numbers),1),k28_sin_cos))) = k4_xcmplx_0(k17_sin_cos(A)) & ! [B] : ( v7_ordinal1(B) => ( k17_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),1),k28_sin_cos))) = k4_xcmplx_0(k17_sin_cos(A)) => k17_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),1),k28_sin_cos))) = k4_xcmplx_0(k17_sin_cos(A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k17_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),1),k28_sin_cos))) = k4_xcmplx_0(k17_sin_cos(A)) ) ) ) )).
fof(s2_nat_1__e3_4__lattice6,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k10_xtuple_0(C) = B & k3_finseq_1(C) = k5_numbers & ~ v1_xboole_0(B) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k3_lattice3(A))) & r2_tarski(E,B) & ~ r3_orders_2(k3_lattice3(A),E,D) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( ~ v2_struct_0(G) & v8_struct_0(G) & v10_lattices(G) & l3_lattices(G) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_lattice3(G)))) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( k10_xtuple_0(I) = H & k3_finseq_1(I) = F & ~ v1_xboole_0(H) & ! [J] : ( m1_subset_1(J,u1_struct_0(k3_lattice3(G))) => ? [K] : ( m1_subset_1(K,u1_struct_0(k3_lattice3(G))) & r2_tarski(K,H) & ~ r3_orders_2(k3_lattice3(G),K,J) ) ) ) ) ) ) => ! [L] : ( ( ~ v2_struct_0(L) & v8_struct_0(L) & v10_lattices(L) & l3_lattices(L) ) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(k3_lattice3(L)))) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) ) => ~ ( k10_xtuple_0(N) = M & k3_finseq_1(N) = k1_nat_1(F,1) & ~ v1_xboole_0(M) & ! [O] : ( m1_subset_1(O,u1_struct_0(k3_lattice3(L))) => ? [P] : ( m1_subset_1(P,u1_struct_0(k3_lattice3(L))) & r2_tarski(P,M) & ~ r3_orders_2(k3_lattice3(L),P,O) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( ~ v2_struct_0(Q) & v8_struct_0(Q) & v10_lattices(Q) & l3_lattices(Q) ) => ! [R] : ( m1_subset_1(R,k1_zfmisc_1(u1_struct_0(k3_lattice3(Q)))) => ! [S] : ( ( v1_relat_1(S) & v1_funct_1(S) & v1_finseq_1(S) ) => ~ ( k10_xtuple_0(S) = R & k3_finseq_1(S) = F & ~ v1_xboole_0(R) & ! [T] : ( m1_subset_1(T,u1_struct_0(k3_lattice3(Q))) => ? [U] : ( m1_subset_1(U,u1_struct_0(k3_lattice3(Q))) & r2_tarski(U,R) & ~ r3_orders_2(k3_lattice3(Q),U,T) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_4__nat_6,axiom,( ( k1_newton(1,k5_numbers) = 1 & ! [A] : ( v7_ordinal1(A) => ( k1_newton(1,A) = 1 => k1_newton(1,k1_nat_1(A,1)) = 1 ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_newton(1,A) = 1 ) )).
fof(s2_nat_1__e3_4__uniroots,axiom,( ( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => k9_complex1(k7_partfun1(u1_struct_0(k1_complfld),A,C)) = k1_funct_1(B,C) ) ) & k5_numbers = k3_finseq_1(A) ) => k9_complex1(k3_group_4(k1_complfld,A)) = k21_rvsum_1(B) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k1_complfld)) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ( ( k3_finseq_1(E) = k3_finseq_1(F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(E)) => k9_complex1(k7_partfun1(u1_struct_0(k1_complfld),E,G)) = k1_funct_1(F,G) ) ) & D = k3_finseq_1(E) ) => k9_complex1(k3_group_4(k1_complfld,E)) = k21_rvsum_1(F) ) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k1_complfld)) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(H) = k3_finseq_1(I) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(H)) => k9_complex1(k7_partfun1(u1_struct_0(k1_complfld),H,J)) = k1_funct_1(I,J) ) ) & k1_nat_1(D,1) = k3_finseq_1(H) ) => k9_complex1(k3_group_4(k1_complfld,H)) = k21_rvsum_1(I) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k1_complfld)) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k3_finseq_1(K) = k3_finseq_1(L) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(K)) => k9_complex1(k7_partfun1(u1_struct_0(k1_complfld),K,M)) = k1_funct_1(L,M) ) ) & D = k3_finseq_1(K) ) => k9_complex1(k3_group_4(k1_complfld,K)) = k21_rvsum_1(L) ) ) ) ) )).
fof(s2_nat_1__e3_51__asympt_1,axiom,( ( ~ r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k5_numbers),k5_numbers),1),k5_numbers) & ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),A),1),k5_numbers) => ~ r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k1_nat_1(A,1)),k1_nat_1(A,1)),1),k5_numbers) ) ) ) => ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),A),1),k5_numbers) ) )).
fof(s2_nat_1__e3_51__dtconstr,axiom,( ( k5_numbers = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( A = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,A)) => k1_nat_1(A,1) = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => A = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,A)) ) )).
fof(s2_nat_1__e3_51__funct_9,axiom,( ( v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) => v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_51__scmisort,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k1_nat_1(3,1))) = k5_numbers & r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers) | ( r2_classes1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),A,B),k5_scmfsa_2(k5_numbers))) & k1_funct_1(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),A,B),k4_scmfsa_2(k1_nat_1(2,1))) = k6_xcmplx_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),A,B),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers)) = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1)))) => ( r1_xxreal_0(C,k6_xcmplx_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers)) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),A,B),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(C,1)) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(C,k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),A,B),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),C) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers),C) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),A,B),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),C) ) ) ) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( k1_funct_1(E,k4_scmfsa_2(k1_nat_1(3,1))) = D & r1_xxreal_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),D) | ( r2_classes1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),E,F),k5_scmfsa_2(k5_numbers))) & k1_funct_1(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),E,F),k4_scmfsa_2(k1_nat_1(2,1))) = k6_xcmplx_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),D) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),E,F),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),D)) = k1_funct_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)),k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1)))) => ( r1_xxreal_0(G,k6_xcmplx_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),D)) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),E,F),k5_scmfsa_2(k5_numbers)),G) = k1_funct_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(G,1)) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k3_finseq_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(G,k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),E,F),k5_scmfsa_2(k5_numbers)),G) = k1_funct_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)),G) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),D),G) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),E,F),k5_scmfsa_2(k5_numbers)),G) = k1_funct_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)),G) ) ) ) ) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( k1_funct_1(H,k4_scmfsa_2(k1_nat_1(3,1))) = k1_nat_1(D,1) & r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(D,1)) | ( r2_classes1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),H,I),k5_scmfsa_2(k5_numbers))) & k1_funct_1(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),H,I),k4_scmfsa_2(k1_nat_1(2,1))) = k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(D,1)) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),H,I),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(D,1))) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) => ( r1_xxreal_0(J,k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(D,1))) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),H,I),k5_scmfsa_2(k5_numbers)),J) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(J,1)) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(J,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),H,I),k5_scmfsa_2(k5_numbers)),J) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),J) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(1,J) => ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(D,1)),J) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),H,I),k5_scmfsa_2(k5_numbers)),J) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),J) ) ) ) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(K,u1_struct_0(k1_scmfsa_2)) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( ( k1_funct_1(K,k4_scmfsa_2(k1_nat_1(3,1))) = D & r1_xxreal_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),D) | ( r2_classes1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),K,L),k5_scmfsa_2(k5_numbers))) & k1_funct_1(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),K,L),k4_scmfsa_2(k1_nat_1(2,1))) = k6_xcmplx_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),D) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),K,L),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),D)) = k1_funct_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)),k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(M,k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1)))) => ( r1_xxreal_0(M,k6_xcmplx_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),D)) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),K,L),k5_scmfsa_2(k5_numbers)),M) = k1_funct_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(M,1)) ) ) ) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(M,k3_finseq_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(M,k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),K,L),k5_scmfsa_2(k5_numbers)),M) = k1_funct_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)),M) ) ) ) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(1,M) => ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),D),M) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))),K,L),k5_scmfsa_2(k5_numbers)),M) = k1_funct_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)),M) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_51__zmodul03,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k12_zmodul02(A,B))) => ( ( k3_finseq_1(C) = k5_numbers & k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( F = k1_funct_1(C,E) & k1_funct_1(D,E) = k13_zmodul02(A,B,F) ) ) ) ) ) => k4_rlvect_1(k12_zmodul02(A,B),D) = k13_zmodul02(A,B,k4_rlvect_1(B,C)) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(B)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(k12_zmodul02(A,B))) => ( ( k3_finseq_1(H) = G & k3_finseq_1(H) = k3_finseq_1(I) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r2_tarski(J,k4_finseq_1(H)) & ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ~ ( K = k1_funct_1(H,J) & k1_funct_1(I,J) = k13_zmodul02(A,B,K) ) ) ) ) ) => k4_rlvect_1(k12_zmodul02(A,B),I) = k13_zmodul02(A,B,k4_rlvect_1(B,H)) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(B)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(k12_zmodul02(A,B))) => ( ( k3_finseq_1(L) = k1_nat_1(G,1) & k3_finseq_1(L) = k3_finseq_1(M) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ~ ( r2_tarski(N,k4_finseq_1(L)) & ! [O] : ( m1_subset_1(O,u1_struct_0(B)) => ~ ( O = k1_funct_1(L,N) & k1_funct_1(M,N) = k13_zmodul02(A,B,O) ) ) ) ) ) => k4_rlvect_1(k12_zmodul02(A,B),M) = k13_zmodul02(A,B,k4_rlvect_1(B,L)) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(B)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(k12_zmodul02(A,B))) => ( ( k3_finseq_1(P) = G & k3_finseq_1(P) = k3_finseq_1(Q) & ! [R] : ( m1_subset_1(R,k4_ordinal1) => ~ ( r2_tarski(R,k4_finseq_1(P)) & ! [S] : ( m1_subset_1(S,u1_struct_0(B)) => ~ ( S = k1_funct_1(P,R) & k1_funct_1(Q,R) = k13_zmodul02(A,B,S) ) ) ) ) ) => k4_rlvect_1(k12_zmodul02(A,B),Q) = k13_zmodul02(A,B,k4_rlvect_1(B,P)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_52_5__gr_cy_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m1_subset_1(B,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k2_xcmplx_0(k1_nat_1(B,1),k5_numbers)),k8_nat_1(k4_ordinal1,A,B)) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k2_xcmplx_0(k1_nat_1(B,1),C)),k8_nat_1(k4_ordinal1,A,B)) => ~ r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(C,1))),k8_nat_1(k4_ordinal1,A,B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k2_xcmplx_0(k1_nat_1(B,1),C)),k8_nat_1(k4_ordinal1,A,B)) ) ) ) )).
fof(s2_nat_1__e3_52__fib_num2,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ( r1_nat_d(k1_pre_ff(A),k1_pre_ff(k3_xcmplx_0(A,k5_numbers))) & ! [B] : ( v7_ordinal1(B) => ( r1_nat_d(k1_pre_ff(A),k1_pre_ff(k3_xcmplx_0(A,B))) => r1_nat_d(k1_pre_ff(A),k1_pre_ff(k3_xcmplx_0(A,k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_nat_d(k1_pre_ff(A),k1_pre_ff(k3_xcmplx_0(A,B))) ) ) ) )).
fof(s2_nat_1__e3_52__newton,axiom,( ( r1_xxreal_0(k5_numbers,k7_newton(k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(A,k7_newton(A)) => r1_xxreal_0(k1_nat_1(A,1),k7_newton(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k7_newton(A)) ) )).
fof(s2_nat_1__e3_52__zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ( ( ! [B] : ( ( v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_zmodul03(B) = k1_nat_1(k5_numbers,1) => ( C = k4_struct_0(A) | k7_zmodul01(A,B,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),C))) = k3_zmodul01(A) | v1_zmodul03(k6_zmodul01(A,B,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),C)))) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_zmodul03(E) & v2_zmodul03(E) & m1_zmodul01(E,A) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k1_zmodul03(E) = k1_nat_1(D,1) => ( F = k4_struct_0(A) | k7_zmodul01(A,E,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),F))) = k3_zmodul01(A) | v1_zmodul03(k6_zmodul01(A,E,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),F)))) ) ) ) ) => ! [G] : ( ( v1_zmodul03(G) & v2_zmodul03(G) & m1_zmodul01(G,A) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( k1_zmodul03(G) = k1_nat_1(k1_nat_1(D,1),1) => ( H = k4_struct_0(A) | k7_zmodul01(A,G,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),H))) = k3_zmodul01(A) | v1_zmodul03(k6_zmodul01(A,G,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),H)))) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( ( v1_zmodul03(I) & v2_zmodul03(I) & m1_zmodul01(I,A) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( k1_zmodul03(I) = k1_nat_1(D,1) => ( J = k4_struct_0(A) | k7_zmodul01(A,I,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),J))) = k3_zmodul01(A) | v1_zmodul03(k6_zmodul01(A,I,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),J)))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_53__diff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),A),B),k5_numbers),D) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),k2_xcmplx_0(A,k5_numbers)),D) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),A),B),E),F) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),k2_xcmplx_0(A,E)),F) ) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),A),B),k1_nat_1(E,1)),G) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),k2_xcmplx_0(A,k1_nat_1(E,1))),G) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v1_xreal_0(H) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),A),B),E),H) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,B),k2_xcmplx_0(A,E)),H) ) ) ) ) )).
fof(s2_nat_1__e3_53__graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( ( ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_nat_1(k5_numbers,1) = k3_finseq_1(B) & r1_graph_5(A,B,C,D) & k6_graph_5(A,B) = k1_xboole_0 ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v7_graph_1(F,A) & m2_graph_1(F,A) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( k1_nat_1(E,1) = k3_finseq_1(F) & r1_graph_5(A,F,G,H) & k6_graph_5(A,F) = k1_xboole_0 ) ) ) ) => ! [I] : ( ( v7_graph_1(I,A) & m2_graph_1(I,A) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ~ ( k1_nat_1(k1_nat_1(E,1),1) = k3_finseq_1(I) & r1_graph_5(A,I,J,K) & k6_graph_5(A,I) = k1_xboole_0 ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v7_graph_1(L,A) & m2_graph_1(L,A) ) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( k1_nat_1(E,1) = k3_finseq_1(L) & r1_graph_5(A,L,M,N) & k6_graph_5(A,L) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_53__matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_polynom5(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ( r1_xxreal_0(k1_vectsp_9(A,B),k5_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ? [D] : ( v2_relat_1(D) & v1_matrixj2(D,A) & m2_finseq_1(D,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & ? [E] : ( m1_matrlin(E,A,B) & k1_matrlin2(A,B,B,C,E,E) = k20_matrixj1(u1_struct_0(A),k4_struct_0(A),D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( m1_vectsp11(F,A,B,C) <=> ? [G] : ( v7_ordinal1(G) & r2_tarski(G,k4_finseq_1(D)) & k14_matrixj1(u1_struct_0(A),D,G) = k2_matrixj2(A,F,k3_finseq_1(k14_matrixj1(u1_struct_0(A),D,G))) ) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( ~ v2_struct_0(I) & ~ v7_struct_0(I) & v13_algstr_0(I) & v8_vectsp_1(I,A) & v9_vectsp_1(I,A) & v10_vectsp_1(I,A) & v11_vectsp_1(I,A) & v2_rlvect_1(I) & v3_rlvect_1(I) & v4_rlvect_1(I) & v1_matrlin(I,A) & l1_vectsp_1(I,A) ) => ( r1_xxreal_0(k1_vectsp_9(A,I),H) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(I),u1_struct_0(I)) & v13_vectsp_1(J,I,I) & v1_mod_2(J,A,I,I) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I),u1_struct_0(I)))) ) => ? [K] : ( v2_relat_1(K) & v1_matrixj2(K,A) & m2_finseq_1(K,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & ? [L] : ( m1_matrlin(L,A,I) & k1_matrlin2(A,I,I,J,L,L) = k20_matrixj1(u1_struct_0(A),k4_struct_0(A),K) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( m1_vectsp11(M,A,I,J) <=> ? [N] : ( v7_ordinal1(N) & r2_tarski(N,k4_finseq_1(K)) & k14_matrixj1(u1_struct_0(A),K,N) = k2_matrixj2(A,M,k3_finseq_1(k14_matrixj1(u1_struct_0(A),K,N))) ) ) ) ) ) ) ) ) => ! [O] : ( ( ~ v2_struct_0(O) & ~ v7_struct_0(O) & v13_algstr_0(O) & v8_vectsp_1(O,A) & v9_vectsp_1(O,A) & v10_vectsp_1(O,A) & v11_vectsp_1(O,A) & v2_rlvect_1(O) & v3_rlvect_1(O) & v4_rlvect_1(O) & v1_matrlin(O,A) & l1_vectsp_1(O,A) ) => ( r1_xxreal_0(k1_vectsp_9(A,O),k1_nat_1(H,1)) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,u1_struct_0(O),u1_struct_0(O)) & v13_vectsp_1(P,O,O) & v1_mod_2(P,A,O,O) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(O),u1_struct_0(O)))) ) => ? [Q] : ( v2_relat_1(Q) & v1_matrixj2(Q,A) & m2_finseq_1(Q,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & ? [R] : ( m1_matrlin(R,A,O) & k1_matrlin2(A,O,O,P,R,R) = k20_matrixj1(u1_struct_0(A),k4_struct_0(A),Q) & ! [S] : ( m1_subset_1(S,u1_struct_0(A)) => ( m1_vectsp11(S,A,O,P) <=> ? [T] : ( v7_ordinal1(T) & r2_tarski(T,k4_finseq_1(Q)) & k14_matrixj1(u1_struct_0(A),Q,T) = k2_matrixj2(A,S,k3_finseq_1(k14_matrixj1(u1_struct_0(A),Q,T))) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [U] : ( ( ~ v2_struct_0(U) & ~ v7_struct_0(U) & v13_algstr_0(U) & v8_vectsp_1(U,A) & v9_vectsp_1(U,A) & v10_vectsp_1(U,A) & v11_vectsp_1(U,A) & v2_rlvect_1(U) & v3_rlvect_1(U) & v4_rlvect_1(U) & v1_matrlin(U,A) & l1_vectsp_1(U,A) ) => ( r1_xxreal_0(k1_vectsp_9(A,U),H) => ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,u1_struct_0(U),u1_struct_0(U)) & v13_vectsp_1(V,U,U) & v1_mod_2(V,A,U,U) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(U),u1_struct_0(U)))) ) => ? [W] : ( v2_relat_1(W) & v1_matrixj2(W,A) & m2_finseq_1(W,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) & ? [X] : ( m1_matrlin(X,A,U) & k1_matrlin2(A,U,U,V,X,X) = k20_matrixj1(u1_struct_0(A),k4_struct_0(A),W) & ! [Y] : ( m1_subset_1(Y,u1_struct_0(A)) => ( m1_vectsp11(Y,A,U,V) <=> ? [Z] : ( v7_ordinal1(Z) & r2_tarski(Z,k4_finseq_1(W)) & k14_matrixj1(u1_struct_0(A),W,Z) = k2_matrixj2(A,Y,k3_finseq_1(k14_matrixj1(u1_struct_0(A),W,Z))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_53__newton01,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( r1_int_1(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,k5_numbers),k1_newton(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_int_1(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,C),k1_newton(B,C))) => r1_int_1(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,k1_nat_1(C,1)),k1_newton(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_int_1(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,C),k1_newton(B,C))) ) ) ) )).
fof(s2_nat_1__e3_54__comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),k5_numbers) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(k5_numbers,A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(k5_numbers,A)),k7_complex1)) & ! [B] : ( v7_ordinal1(B) => ( k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),B) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(B,A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(B,A)),k7_complex1)) => k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),k1_nat_1(B,1)) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(k1_nat_1(B,1),A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(k1_nat_1(B,1),A)),k7_complex1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_newton(k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)),B) = k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(B,A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(B,A)),k7_complex1)) ) ) ) )).
fof(s2_nat_1__e3_54__diff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k5_numbers,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k5_numbers),k2_xcmplx_0(B,k7_xcmplx_0(A,2))),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k5_numbers),k6_xcmplx_0(B,k7_xcmplx_0(A,2)))) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(D,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),D),k2_xcmplx_0(B,k7_xcmplx_0(A,2))),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),D),k6_xcmplx_0(B,k7_xcmplx_0(A,2)))) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(k1_nat_1(D,1),1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(D,1)),k2_xcmplx_0(B,k7_xcmplx_0(A,2))),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(D,1)),k6_xcmplx_0(B,k7_xcmplx_0(A,2)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),k1_nat_1(D,1)),B) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),D),k2_xcmplx_0(B,k7_xcmplx_0(A,2))),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),D),k6_xcmplx_0(B,k7_xcmplx_0(A,2)))) ) ) ) )).
fof(s2_nat_1__e3_54__funct_9,axiom,( ( v1_funct_9(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos)),k3_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos)),k3_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k2_xcmplx_0(A,1))) => v1_funct_9(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos)),k3_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k55_valued_1(k1_numbers,k1_numbers,k18_sin_cos)),k3_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_54__newton,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( A != k5_numbers => r1_nat_d(A,k7_newton(k2_xcmplx_0(A,k5_numbers))) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( C != k5_numbers => r1_nat_d(C,k7_newton(k2_xcmplx_0(C,B))) ) ) => ! [D] : ( v7_ordinal1(D) => ( D != k5_numbers => r1_nat_d(D,k7_newton(k2_xcmplx_0(D,k1_nat_1(B,1)))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => ( E != k5_numbers => r1_nat_d(E,k7_newton(k2_xcmplx_0(E,B))) ) ) ) )).
fof(s2_nat_1__e3_55_1__comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_xcmplx_0(B) ) => ( ( k9_complex1(k8_nat_1(k2_numbers,A,k5_numbers)) = k2_power(k9_complex1(B),k1_nat_1(k5_numbers,1)) & ! [C] : ( v7_ordinal1(C) => ( k9_complex1(k8_nat_1(k2_numbers,A,C)) = k2_power(k9_complex1(B),k1_nat_1(C,1)) => k9_complex1(k8_nat_1(k2_numbers,A,k1_nat_1(C,1))) = k2_power(k9_complex1(B),k1_nat_1(k1_nat_1(C,1),1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k9_complex1(k8_nat_1(k2_numbers,A,C)) = k2_power(k9_complex1(B),k1_nat_1(C,1)) ) ) ) )).
fof(s2_nat_1__e3_55__int_5,axiom,( ! [A] : ( v1_finset_1(A) => ( ( ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ( ( k3_finseq_1(B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(B)) ) => ( C = D | r1_xboole_0(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) => k4_card_1(k3_tarski(k2_relset_1(k1_zfmisc_1(A),B))) = k1_wsierp_1(k3_int_5(A,B)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k1_zfmisc_1(A)) => ( ( k3_finseq_1(F) = E & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(G,k4_finseq_1(F)) & r2_tarski(H,k4_finseq_1(F)) ) => ( G = H | r1_xboole_0(k1_funct_1(F,G),k1_funct_1(F,H)) ) ) ) ) ) => k4_card_1(k3_tarski(k2_relset_1(k1_zfmisc_1(A),F))) = k1_wsierp_1(k3_int_5(A,F)) ) ) => ! [I] : ( m2_finseq_1(I,k1_zfmisc_1(A)) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r2_tarski(J,k4_finseq_1(I)) & r2_tarski(K,k4_finseq_1(I)) ) => ( J = K | r1_xboole_0(k1_funct_1(I,J),k1_funct_1(I,K)) ) ) ) ) ) => k4_card_1(k3_tarski(k2_relset_1(k1_zfmisc_1(A),I))) = k1_wsierp_1(k3_int_5(A,I)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,k1_zfmisc_1(A)) => ( ( k3_finseq_1(L) = E & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ( ( r2_tarski(M,k4_finseq_1(L)) & r2_tarski(N,k4_finseq_1(L)) ) => ( M = N | r1_xboole_0(k1_funct_1(L,M),k1_funct_1(L,N)) ) ) ) ) ) => k4_card_1(k3_tarski(k2_relset_1(k1_zfmisc_1(A),L))) = k1_wsierp_1(k3_int_5(A,L)) ) ) ) ) ) )).
fof(s2_nat_1__e3_55__nat_4,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ? [B] : ( m2_finseq_1(B,k4_ordinal1) & k3_finseq_1(B) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => k1_recdef_1(B,C) = k1_int_1(k7_xcmplx_0(k5_numbers,k1_newton(A,C))) ) ) & k11_nat_3(k7_newton(k5_numbers),A) = k1_wsierp_1(B) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => ? [F] : ( m2_finseq_1(F,k4_ordinal1) & k3_finseq_1(F) = D & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(F)) => k1_recdef_1(F,G) = k1_int_1(k7_xcmplx_0(D,k1_newton(E,G))) ) ) & k11_nat_3(k7_newton(D),E) = k1_wsierp_1(F) ) ) => ! [H] : ( ( v7_ordinal1(H) & v1_int_2(H) ) => ? [I] : ( m2_finseq_1(I,k4_ordinal1) & k3_finseq_1(I) = k1_nat_1(D,1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(I)) => k1_recdef_1(I,J) = k1_int_1(k7_xcmplx_0(k1_nat_1(D,1),k1_newton(H,J))) ) ) & k11_nat_3(k7_newton(k1_nat_1(D,1)),H) = k1_wsierp_1(I) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v7_ordinal1(K) & v1_int_2(K) ) => ? [L] : ( m2_finseq_1(L,k4_ordinal1) & k3_finseq_1(L) = D & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(L)) => k1_recdef_1(L,M) = k1_int_1(k7_xcmplx_0(D,k1_newton(K,M))) ) ) & k11_nat_3(k7_newton(D),K) = k1_wsierp_1(L) ) ) ) )).
fof(s2_nat_1__e3_55__rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k8_afinsq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(D) & l1_rewrite3(D,C) ) => ( ( ! [E] : ( m1_rewrite1(E,k1_rewrite3(A,C,D)) => ! [F] : ! [G] : ( ( k1_funct_1(E,1) = k4_tarski(F,B) & k1_funct_1(E,k3_finseq_1(E)) = k4_tarski(G,B) & k3_finseq_1(E) = k5_numbers ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(E)) => k2_xtuple_0(k1_funct_1(E,H)) = B ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_rewrite1(J,k1_rewrite3(A,C,D)) => ! [K] : ! [L] : ( ( k1_funct_1(J,1) = k4_tarski(K,B) & k1_funct_1(J,k3_finseq_1(J)) = k4_tarski(L,B) & k3_finseq_1(J) = I ) => ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(J)) => k2_xtuple_0(k1_funct_1(J,M)) = B ) ) ) ) => ! [N] : ( m1_rewrite1(N,k1_rewrite3(A,C,D)) => ! [O] : ! [P] : ( ( k1_funct_1(N,1) = k4_tarski(O,B) & k1_funct_1(N,k3_finseq_1(N)) = k4_tarski(P,B) & k3_finseq_1(N) = k1_nat_1(I,1) ) => ! [Q] : ( v7_ordinal1(Q) => ( r2_tarski(Q,k4_finseq_1(N)) => k2_xtuple_0(k1_funct_1(N,Q)) = B ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [R] : ( m1_rewrite1(R,k1_rewrite3(A,C,D)) => ! [S] : ! [T] : ( ( k1_funct_1(R,1) = k4_tarski(S,B) & k1_funct_1(R,k3_finseq_1(R)) = k4_tarski(T,B) & k3_finseq_1(R) = I ) => ! [U] : ( v7_ordinal1(U) => ( r2_tarski(U,k4_finseq_1(R)) => k2_xtuple_0(k1_funct_1(R,U)) = B ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_56_1__fib_num2,axiom,( ( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k1_pre_ff(A),k1_pre_ff(k2_xcmplx_0(A,k5_numbers))) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_pre_ff(C),k1_pre_ff(k2_xcmplx_0(C,B))) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_pre_ff(D),k1_pre_ff(k2_xcmplx_0(D,k1_nat_1(B,1)))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k1_pre_ff(E),k1_pre_ff(k2_xcmplx_0(E,B))) ) ) )).
fof(s2_nat_1__e3_56_1__mazurulm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k1_newton(2,k5_numbers)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,k1_rlvect_1(A,D,k3_xxreal_3(1,k6_xxreal_3(F,k1_newton(2,k5_numbers)))),k1_rlvect_1(A,E,k6_xxreal_3(F,k1_newton(2,k5_numbers))))) = k3_rlvect_1(B,k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_xxreal_3(1,k6_xxreal_3(F,k1_newton(2,k5_numbers)))),k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k6_xxreal_3(F,k1_newton(2,k5_numbers)))) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,k1_newton(2,G)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,k1_rlvect_1(A,D,k3_xxreal_3(1,k6_xxreal_3(H,k1_newton(2,G)))),k1_rlvect_1(A,E,k6_xxreal_3(H,k1_newton(2,G))))) = k3_rlvect_1(B,k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_xxreal_3(1,k6_xxreal_3(H,k1_newton(2,G)))),k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k6_xxreal_3(H,k1_newton(2,G)))) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k1_newton(2,k1_nat_1(G,1))) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,k1_rlvect_1(A,D,k3_xxreal_3(1,k6_xxreal_3(I,k1_newton(2,k1_nat_1(G,1))))),k1_rlvect_1(A,E,k6_xxreal_3(I,k1_newton(2,k1_nat_1(G,1)))))) = k3_rlvect_1(B,k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_xxreal_3(1,k6_xxreal_3(I,k1_newton(2,k1_nat_1(G,1))))),k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k6_xxreal_3(I,k1_newton(2,k1_nat_1(G,1))))) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,k1_newton(2,G)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_rlvect_1(A,k1_rlvect_1(A,D,k3_xxreal_3(1,k6_xxreal_3(J,k1_newton(2,G)))),k1_rlvect_1(A,E,k6_xxreal_3(J,k1_newton(2,G))))) = k3_rlvect_1(B,k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_xxreal_3(1,k6_xxreal_3(J,k1_newton(2,G)))),k1_rlvect_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k6_xxreal_3(J,k1_newton(2,G)))) ) ) ) ) ) )).
fof(s2_nat_1__e3_56__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k13_modelc_2(C))) => ( ( r1_xxreal_0(k4_card_1(D),k5_numbers) & k10_xtuple_0(A) = k1_modelc_3(C) & v2_funct_1(A) & k10_xtuple_0(B) = k1_modelc_3(C) & v2_funct_1(B) ) => k17_modelc_3(C,D,A) = k17_modelc_3(C,D,B) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k13_modelc_2(C))) => ( ( r1_xxreal_0(k4_card_1(F),E) & k10_xtuple_0(A) = k1_modelc_3(C) & v2_funct_1(A) & k10_xtuple_0(B) = k1_modelc_3(C) & v2_funct_1(B) ) => k17_modelc_3(C,F,A) = k17_modelc_3(C,F,B) ) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k13_modelc_2(C))) => ( ( r1_xxreal_0(k4_card_1(G),k1_nat_1(E,1)) & k10_xtuple_0(A) = k1_modelc_3(C) & v2_funct_1(A) & k10_xtuple_0(B) = k1_modelc_3(C) & v2_funct_1(B) ) => k17_modelc_3(C,G,A) = k17_modelc_3(C,G,B) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k13_modelc_2(C))) => ( ( r1_xxreal_0(k4_card_1(H),E) & k10_xtuple_0(A) = k1_modelc_3(C) & v2_funct_1(A) & k10_xtuple_0(B) = k1_modelc_3(C) & v2_funct_1(B) ) => k17_modelc_3(C,H,A) = k17_modelc_3(C,H,B) ) ) ) ) ) )).
fof(s2_nat_1__e3_56__sin_cos3,axiom,( ( ! [A] : ( v1_xcmplx_0(A) => k2_comseq_3(k2_xcmplx_0(k7_partfun1(k2_numbers,k2_sin_cos3,A),k3_xcmplx_0(k7_complex1,k7_partfun1(k2_numbers,k1_sin_cos3,A))),k5_numbers) = k2_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,k3_xcmplx_0(k5_numbers,A)),k3_xcmplx_0(k7_complex1,k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,k3_xcmplx_0(k5_numbers,A)))) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v1_xcmplx_0(C) => k2_comseq_3(k2_xcmplx_0(k7_partfun1(k2_numbers,k2_sin_cos3,C),k3_xcmplx_0(k7_complex1,k7_partfun1(k2_numbers,k1_sin_cos3,C))),B) = k2_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,k3_xcmplx_0(B,C)),k3_xcmplx_0(k7_complex1,k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,k3_xcmplx_0(B,C)))) ) => ! [D] : ( v1_xcmplx_0(D) => k2_comseq_3(k2_xcmplx_0(k7_partfun1(k2_numbers,k2_sin_cos3,D),k3_xcmplx_0(k7_complex1,k7_partfun1(k2_numbers,k1_sin_cos3,D))),k1_nat_1(B,1)) = k2_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,k3_xcmplx_0(k1_nat_1(B,1),D)),k3_xcmplx_0(k7_complex1,k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,k3_xcmplx_0(k1_nat_1(B,1),D)))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v1_xcmplx_0(E) => k2_comseq_3(k2_xcmplx_0(k7_partfun1(k2_numbers,k2_sin_cos3,E),k3_xcmplx_0(k7_complex1,k7_partfun1(k2_numbers,k1_sin_cos3,E))),B) = k2_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,k3_xcmplx_0(B,E)),k3_xcmplx_0(k7_complex1,k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,k3_xcmplx_0(B,E)))) ) ) )).
fof(s2_nat_1__e3_57__fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & ~ v1_xboole_0(D) ) => ( ( ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,A,D))) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,k2_xcmplx_0(A,k5_numbers),D))) & k1_funct_1(k22_fomodel2(C,A,D),B) = k1_funct_1(k22_fomodel2(C,k2_xcmplx_0(A,k5_numbers),D),B) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,A,D))) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,k2_xcmplx_0(A,E),D))) & k1_funct_1(k22_fomodel2(C,A,D),B) = k1_funct_1(k22_fomodel2(C,k2_xcmplx_0(A,E),D),B) ) ) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,A,D))) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,k2_xcmplx_0(A,k1_nat_1(E,1)),D))) & k1_funct_1(k22_fomodel2(C,A,D),B) = k1_funct_1(k22_fomodel2(C,k2_xcmplx_0(A,k1_nat_1(E,1)),D),B) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,A,D))) => ( r2_tarski(B,k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k3_finseq_2(k1_fomodel1(C)),k15_fomodel2(C,D),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0))),k22_fomodel2(C,k2_xcmplx_0(A,E),D))) & k1_funct_1(k22_fomodel2(C,A,D),B) = k1_funct_1(k22_fomodel2(C,k2_xcmplx_0(A,E),D),B) ) ) ) ) ) )).
fof(s2_nat_1__e3_57__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ( ( ( ( r2_modelc_1(A,B,C,k5_numbers) & r2_modelc_1(A,B,D,k5_numbers) ) => ! [E] : ( ( v1_modelc_1(E) & m2_finseq_1(E,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(E),k5_numbers) => k1_funct_1(C,E) = k1_funct_1(D,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r2_modelc_1(A,B,C,F) & r2_modelc_1(A,B,D,F) ) => ! [G] : ( ( v1_modelc_1(G) & m2_finseq_1(G,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(G),F) => k1_funct_1(C,G) = k1_funct_1(D,G) ) ) ) => ( ( r2_modelc_1(A,B,C,k1_nat_1(F,1)) & r2_modelc_1(A,B,D,k1_nat_1(F,1)) ) => ! [H] : ( ( v1_modelc_1(H) & m2_finseq_1(H,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(H),k1_nat_1(F,1)) => k1_funct_1(C,H) = k1_funct_1(D,H) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r2_modelc_1(A,B,C,F) & r2_modelc_1(A,B,D,F) ) => ! [I] : ( ( v1_modelc_1(I) & m2_finseq_1(I,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(I),F) => k1_funct_1(C,I) = k1_funct_1(D,I) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_58__funct_9,axiom,( ( v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) => v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_58__modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) ) => ( ( ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & r2_modelc_1(A,B,C,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & r2_modelc_1(A,B,E,D) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & r2_modelc_1(A,B,F,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) & r2_modelc_1(A,B,G,D) ) ) ) ) )).
fof(s2_nat_1__e3_59__fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( ( ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(A,C)) => ! [F] : ( m2_subset_1(F,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),D,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,k5_numbers,B))) => r2_tarski(k1_domain_1(k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),E,F),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,k5_numbers,C))) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_subset_1(H,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [I] : ( m2_subset_1(I,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(A,C)) => ! [J] : ( m2_subset_1(J,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),H,J),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,G,B))) => r2_tarski(k1_domain_1(k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),I,J),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,G,C))) ) ) ) ) => ! [K] : ( m2_subset_1(K,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [L] : ( m2_subset_1(L,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(A,C)) => ! [M] : ( m2_subset_1(M,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),K,M),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,k1_nat_1(G,1),B))) => r2_tarski(k1_domain_1(k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),L,M),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,k1_nat_1(G,1),C))) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m2_subset_1(N,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ! [O] : ( m2_subset_1(O,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(A,C)) => ! [P] : ( m2_subset_1(P,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ( r2_tarski(k1_domain_1(k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),N,P),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,B),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,G,B))) => r2_tarski(k1_domain_1(k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),O,P),k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(A)),k15_fomodel2(A,C),k6_subset_1(k3_finseq_2(k1_fomodel1(A)),k1_tarski(k1_xboole_0))),k22_fomodel2(A,G,C))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_5__topdim_1,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( C = D => ( r2_tarski(C,k13_prob_1(u1_struct_0(k1_pre_topc(A,B)),k4_ordinal1,k9_setfam_1(u1_struct_0(k1_pre_topc(A,B))),k1_topdim_1(k1_pre_topc(A,B)),k5_numbers)) <=> r2_tarski(D,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),k5_numbers)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( F = G => ( r2_tarski(F,k13_prob_1(u1_struct_0(k1_pre_topc(A,B)),k4_ordinal1,k9_setfam_1(u1_struct_0(k1_pre_topc(A,B))),k1_topdim_1(k1_pre_topc(A,B)),E)) <=> r2_tarski(G,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),E)) ) ) ) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ( H = I => ( r2_tarski(H,k13_prob_1(u1_struct_0(k1_pre_topc(A,B)),k4_ordinal1,k9_setfam_1(u1_struct_0(k1_pre_topc(A,B))),k1_topdim_1(k1_pre_topc(A,B)),k1_nat_1(E,1))) <=> r2_tarski(I,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),k1_nat_1(E,1))) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ( J = K => ( r2_tarski(J,k13_prob_1(u1_struct_0(k1_pre_topc(A,B)),k4_ordinal1,k9_setfam_1(u1_struct_0(k1_pre_topc(A,B))),k1_topdim_1(k1_pre_topc(A,B)),E)) <=> r2_tarski(K,k13_prob_1(u1_struct_0(A),k4_ordinal1,k9_setfam_1(u1_struct_0(A)),k1_topdim_1(A),E)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_5__weddwitt,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( k3_finseq_1(A) = k5_numbers => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => r1_nat_d(B,k7_partfun1(k4_ordinal1,A,C)) ) ) => r1_nat_d(B,k1_wsierp_1(A)) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( k3_finseq_1(E) = D => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(E)) => r1_nat_d(F,k7_partfun1(k4_ordinal1,E,G)) ) ) => r1_nat_d(F,k1_wsierp_1(E)) ) ) ) ) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ( k3_finseq_1(H) = k1_nat_1(D,1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(H)) => r1_nat_d(I,k7_partfun1(k4_ordinal1,H,J)) ) ) => r1_nat_d(I,k1_wsierp_1(H)) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k4_ordinal1) => ( k3_finseq_1(K) = D => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(K)) => r1_nat_d(L,k7_partfun1(k4_ordinal1,K,M)) ) ) => r1_nat_d(L,k1_wsierp_1(K)) ) ) ) ) ) )).
fof(s2_nat_1__e3_60__catalan2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k1_numbers) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) & k8_nat_1(k1_numbers,k3_series_1(k4_catalan2(A,B)),k5_numbers) = k7_afinsq_2(C) & k1_relset_1(k4_ordinal1,C) = k1_nat_1(k5_numbers,1) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_nat_1(k5_numbers,1)) => k1_funct_1(C,D) = k4_real_1(k8_nat_1(k1_numbers,A,D),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(B),k7_nat_d(k5_numbers,D))) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( v1_relat_1(F) & v5_relat_1(F,k1_numbers) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) & k8_nat_1(k1_numbers,k3_series_1(k4_catalan2(A,B)),E) = k7_afinsq_2(F) & k1_relset_1(k4_ordinal1,F) = k1_nat_1(E,1) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k1_nat_1(E,1)) => k1_funct_1(F,G) = k4_real_1(k8_nat_1(k1_numbers,A,G),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(B),k7_nat_d(E,G))) ) ) ) => ? [H] : ( v1_relat_1(H) & v5_relat_1(H,k1_numbers) & v1_funct_1(H) & v5_ordinal1(H) & v1_finset_1(H) & k8_nat_1(k1_numbers,k3_series_1(k4_catalan2(A,B)),k1_nat_1(E,1)) = k7_afinsq_2(H) & k1_relset_1(k4_ordinal1,H) = k1_nat_1(k1_nat_1(E,1),1) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k1_nat_1(k1_nat_1(E,1),1)) => k1_funct_1(H,I) = k4_real_1(k8_nat_1(k1_numbers,A,I),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(B),k7_nat_d(k1_nat_1(E,1),I))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ? [J] : ( v1_relat_1(J) & v5_relat_1(J,k1_numbers) & v1_funct_1(J) & v5_ordinal1(J) & v1_finset_1(J) & k8_nat_1(k1_numbers,k3_series_1(k4_catalan2(A,B)),E) = k7_afinsq_2(J) & k1_relset_1(k4_ordinal1,J) = k1_nat_1(E,1) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k1_nat_1(E,1)) => k1_funct_1(J,K) = k4_real_1(k8_nat_1(k1_numbers,A,K),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(B),k7_nat_d(E,K))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_60__funct_9,axiom,( ( v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) => v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_60__rlvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( k3_finseq_1(C) = k5_numbers => k4_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,C)) = k1_algstr_0(A,k4_rlvect_1(A,B),k4_rlvect_1(A,C)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( k3_finseq_1(E) = D => k4_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,E)) = k1_algstr_0(A,k4_rlvect_1(A,B),k4_rlvect_1(A,E)) ) ) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( k3_finseq_1(F) = k1_nat_1(D,1) => k4_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,F)) = k1_algstr_0(A,k4_rlvect_1(A,B),k4_rlvect_1(A,F)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( k3_finseq_1(G) = D => k4_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,G)) = k1_algstr_0(A,k4_rlvect_1(A,B),k4_rlvect_1(A,G)) ) ) ) ) ) )).
fof(s2_nat_1__e3_61_1_1_1__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => ( ( r2_hidden(k4_tarski(C,k1_bcialg_2(A,k1_bcialg_2(A,C,k1_bcialg_1(A,C,D),E),k1_bcialg_1(A,D,C),k5_numbers)),B) & ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(C,k1_bcialg_2(A,k1_bcialg_2(A,C,k1_bcialg_1(A,C,D),E),k1_bcialg_1(A,D,C),F)),B) => r2_hidden(k4_tarski(C,k1_bcialg_2(A,k1_bcialg_2(A,C,k1_bcialg_1(A,C,D),E),k1_bcialg_1(A,D,C),k1_nat_1(F,1))),B) ) ) ) => ! [F] : ( v7_ordinal1(F) => r2_hidden(k4_tarski(C,k1_bcialg_2(A,k1_bcialg_2(A,C,k1_bcialg_1(A,C,D),E),k1_bcialg_1(A,D,C),F)),B) ) ) ) )).
fof(s2_nat_1__e3_61_1_1_2__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => ( ( r2_hidden(k4_tarski(D,k1_bcialg_2(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),E),k1_bcialg_1(A,C,D),k5_numbers)),B) & ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(D,k1_bcialg_2(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),E),k1_bcialg_1(A,C,D),F)),B) => r2_hidden(k4_tarski(D,k1_bcialg_2(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),E),k1_bcialg_1(A,C,D),k1_nat_1(F,1))),B) ) ) ) => ! [F] : ( v7_ordinal1(F) => r2_hidden(k4_tarski(D,k1_bcialg_2(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),E),k1_bcialg_1(A,C,D),F)),B) ) ) ) )).
fof(s2_nat_1__e3_61_1_1__matrprob,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => ( k5_numbers = k5_numbers | k8_nat_1(k1_numbers,B,k5_numbers) = 1 ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(A)) => ( C = k5_numbers | k8_nat_1(k1_numbers,B,C) = 1 ) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) => ( k1_nat_1(C,1) = k5_numbers | k8_nat_1(k1_numbers,B,k1_nat_1(C,1)) = 1 ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(A)) => ( C = k5_numbers | k8_nat_1(k1_numbers,B,C) = 1 ) ) ) ) ) )).
fof(s2_nat_1__e3_61__nat_1,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(k5_numbers,A) <=> r1_ordinal1(k5_card_1(k5_numbers),k5_card_1(A)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) <=> r1_ordinal1(k5_card_1(B),k5_card_1(C)) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_nat_1(B,1),D) <=> r1_ordinal1(k5_card_1(k1_nat_1(B,1)),k5_card_1(D)) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(B,E) <=> r1_ordinal1(k5_card_1(B),k5_card_1(E)) ) ) ) )).
fof(s2_nat_1__e3_62__card_fin,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) ) => ! [B] : ( v1_finset_1(B) => ( ( k9_xtuple_0(A) = B & k4_card_1(B) = k5_numbers ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_numbers) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( ( k1_relset_1(k4_ordinal1,C) = k4_card_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,D) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),D),k3_card_fin(k1_nat_1(D,1),A)) ) ) ) => k1_card_1(k3_tarski(k10_xtuple_0(A))) = k7_afinsq_2(C) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v2_finset_1(F) ) => ! [G] : ( v1_finset_1(G) => ( ( k9_xtuple_0(F) = G & k4_card_1(G) = E ) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_numbers) & v5_ordinal1(H) & v1_funct_1(H) & v1_finset_1(H) ) => ( ( k1_relset_1(k4_ordinal1,H) = k4_card_1(G) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k1_relset_1(k4_ordinal1,H)) => k1_funct_1(H,I) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),I),k3_card_fin(k1_nat_1(I,1),F)) ) ) ) => k1_card_1(k3_tarski(k10_xtuple_0(F))) = k7_afinsq_2(H) ) ) ) ) ) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v2_finset_1(J) ) => ! [K] : ( v1_finset_1(K) => ( ( k9_xtuple_0(J) = K & k4_card_1(K) = k1_nat_1(E,1) ) => ! [L] : ( ( v1_relat_1(L) & v5_relat_1(L,k4_numbers) & v5_ordinal1(L) & v1_funct_1(L) & v1_finset_1(L) ) => ( ( k1_relset_1(k4_ordinal1,L) = k4_card_1(K) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k1_relset_1(k4_ordinal1,L)) => k1_funct_1(L,M) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),M),k3_card_fin(k1_nat_1(M,1),J)) ) ) ) => k1_card_1(k3_tarski(k10_xtuple_0(J))) = k7_afinsq_2(L) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v2_finset_1(N) ) => ! [O] : ( v1_finset_1(O) => ( ( k9_xtuple_0(N) = O & k4_card_1(O) = E ) => ! [P] : ( ( v1_relat_1(P) & v5_relat_1(P,k4_numbers) & v5_ordinal1(P) & v1_funct_1(P) & v1_finset_1(P) ) => ( ( k1_relset_1(k4_ordinal1,P) = k4_card_1(O) & ! [Q] : ( v7_ordinal1(Q) => ( r2_tarski(Q,k1_relset_1(k4_ordinal1,P)) => k1_funct_1(P,Q) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),Q),k3_card_fin(k1_nat_1(Q,1),N)) ) ) ) => k1_card_1(k3_tarski(k10_xtuple_0(N))) = k7_afinsq_2(P) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_63__funct_9,axiom,( ( v1_funct_9(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( v1_funct_9(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) => v1_funct_9(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_funct_9(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k3_xcmplx_0(k28_sin_cos,k2_xcmplx_0(A,1))) ) )).
fof(s2_nat_1__e3_64__fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ( ? [B] : ( m1_subset_1(B,k4_ordinal1) & B = k5_numbers & ! [C] : ( ( v14_fomodel1(C,k2_xcmplx_0(B,1),A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ? [D] : ( v8_fomodel1(D,A) & m1_subset_1(D,k1_fomodel1(A)) & ? [E] : ( m2_subset_1(E,k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A))),k28_fomodel1(A),B))) & v3_card_1(E,k1_int_2(k19_fomodel1(A,D))) & C = k7_finseq_1(k12_finseq_1(k1_fomodel1(A),D),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),E)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ? [G] : ( m1_subset_1(G,k4_ordinal1) & G = F & ! [H] : ( ( v14_fomodel1(H,k2_xcmplx_0(G,1),A) & m2_subset_1(H,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ? [I] : ( v8_fomodel1(I,A) & m1_subset_1(I,k1_fomodel1(A)) & ? [J] : ( m2_subset_1(J,k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A))),k28_fomodel1(A),G))) & v3_card_1(J,k1_int_2(k19_fomodel1(A,I))) & H = k7_finseq_1(k12_finseq_1(k1_fomodel1(A),I),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),J)) ) ) ) ) => ? [K] : ( m1_subset_1(K,k4_ordinal1) & K = k1_nat_1(F,1) & ! [L] : ( ( v14_fomodel1(L,k2_xcmplx_0(K,1),A) & m2_subset_1(L,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ? [M] : ( v8_fomodel1(M,A) & m1_subset_1(M,k1_fomodel1(A)) & ? [N] : ( m2_subset_1(N,k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A))),k28_fomodel1(A),K))) & v3_card_1(N,k1_int_2(k19_fomodel1(A,M))) & L = k7_finseq_1(k12_finseq_1(k1_fomodel1(A),M),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),N)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ? [O] : ( m1_subset_1(O,k4_ordinal1) & O = F & ! [P] : ( ( v14_fomodel1(P,k2_xcmplx_0(O,1),A) & m2_subset_1(P,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ? [Q] : ( v8_fomodel1(Q,A) & m1_subset_1(Q,k1_fomodel1(A)) & ? [R] : ( m2_subset_1(R,k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_fomodel0(k3_finseq_2(k15_fomodel1(A)),k3_funct_2(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A))),k28_fomodel1(A),O))) & v3_card_1(R,k1_int_2(k19_fomodel1(A,Q))) & P = k7_finseq_1(k12_finseq_1(k1_fomodel1(A),Q),k3_funct_2(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))),k3_finseq_2(k15_fomodel1(A)),k21_fomodel1(A),R)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_64__group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( k3_finseq_1(C) = k5_numbers & C = D ) => k3_group_4(A,C) = k3_group_4(B,D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ! [G] : ( m2_finseq_1(G,u1_struct_0(B)) => ( ( k3_finseq_1(F) = E & F = G ) => k3_group_4(A,F) = k3_group_4(B,G) ) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ( ( k3_finseq_1(H) = k1_nat_1(E,1) & H = I ) => k3_group_4(A,H) = k3_group_4(B,I) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ! [K] : ( m2_finseq_1(K,u1_struct_0(B)) => ( ( k3_finseq_1(J) = E & J = K ) => k3_group_4(A,J) = k3_group_4(B,K) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_64__modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) ) => ( ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(C),k5_numbers) & r1_tarski(B,C) ) => r1_xxreal_0(k18_modelc_3(A,B),k18_modelc_3(A,C)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(E),D) & r1_tarski(B,E) ) => r1_xxreal_0(k18_modelc_3(A,B),k18_modelc_3(A,E)) ) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(F),k1_nat_1(D,1)) & r1_tarski(B,F) ) => r1_xxreal_0(k18_modelc_3(A,B),k18_modelc_3(A,F)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(G),D) & r1_tarski(B,G) ) => r1_xxreal_0(k18_modelc_3(A,B),k18_modelc_3(A,G)) ) ) ) ) ) )).
fof(s2_nat_1__e3_65__group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(C) = k5_numbers & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k6_algstr_0(A,B,k7_partfun1(u1_struct_0(A),C,D)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),C,D),B) ) ) ) => k6_algstr_0(A,B,k3_group_4(A,C)) = k6_algstr_0(A,k3_group_4(A,C),B) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( k3_finseq_1(F) = E & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k6_algstr_0(A,B,k7_partfun1(u1_struct_0(A),F,G)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),F,G),B) ) ) ) => k6_algstr_0(A,B,k3_group_4(A,F)) = k6_algstr_0(A,k3_group_4(A,F),B) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( k3_finseq_1(H) = k1_nat_1(E,1) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => k6_algstr_0(A,B,k7_partfun1(u1_struct_0(A),H,I)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),H,I),B) ) ) ) => k6_algstr_0(A,B,k3_group_4(A,H)) = k6_algstr_0(A,k3_group_4(A,H),B) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(J) = E & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(J)) => k6_algstr_0(A,B,k7_partfun1(u1_struct_0(A),J,K)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),J,K),B) ) ) ) => k6_algstr_0(A,B,k3_group_4(A,J)) = k6_algstr_0(A,k3_group_4(A,J),B) ) ) ) ) ) )).
fof(s2_nat_1__e3_65__nat_4,axiom,( ( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k19_rvsum_1(k2_finseq_2(k5_numbers,A)) = k2_power(A,k5_numbers) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => k19_rvsum_1(k2_finseq_2(B,C)) = k2_power(C,B) ) ) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => k19_rvsum_1(k2_finseq_2(k1_nat_1(B,1),D)) = k2_power(D,k1_nat_1(B,1)) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v1_xreal_0(E) => ( ~ r1_xxreal_0(E,k5_numbers) => k19_rvsum_1(k2_finseq_2(B,E)) = k2_power(E,B) ) ) ) )).
fof(s2_nat_1__e3_65__numpoly1,axiom,( ( r1_xxreal_0(k5_numbers,k1_numpoly1(k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(A,k1_numpoly1(A)) => r1_xxreal_0(k1_nat_1(A,1),k1_numpoly1(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k1_numpoly1(A)) ) )).
fof(s2_nat_1__e3_65__zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ( ( ! [B] : ( ( v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_zmodul03(B) = k1_nat_1(k5_numbers,1) => ( C = k4_struct_0(A) | k7_zmodul01(A,B,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),C))) = k3_zmodul01(A) | k1_zmodul03(k6_zmodul01(A,B,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),C)))) = k1_zmodul03(B) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_zmodul03(E) & v2_zmodul03(E) & m1_zmodul01(E,A) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k1_zmodul03(E) = k1_nat_1(D,1) => ( F = k4_struct_0(A) | k7_zmodul01(A,E,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),F))) = k3_zmodul01(A) | k1_zmodul03(k6_zmodul01(A,E,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),F)))) = k1_zmodul03(E) ) ) ) ) => ! [G] : ( ( v1_zmodul03(G) & v2_zmodul03(G) & m1_zmodul01(G,A) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( k1_zmodul03(G) = k1_nat_1(k1_nat_1(D,1),1) => ( H = k4_struct_0(A) | k7_zmodul01(A,G,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),H))) = k3_zmodul01(A) | k1_zmodul03(k6_zmodul01(A,G,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),H)))) = k1_zmodul03(G) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( ( v1_zmodul03(I) & v2_zmodul03(I) & m1_zmodul01(I,A) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( k1_zmodul03(I) = k1_nat_1(D,1) => ( J = k4_struct_0(A) | k7_zmodul01(A,I,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),J))) = k3_zmodul01(A) | k1_zmodul03(k6_zmodul01(A,I,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),J)))) = k1_zmodul03(I) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_66__group_19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(F,k4_finseq_1(B)) ) => ( E = F | k6_algstr_0(A,k7_partfun1(u1_struct_0(A),C,E),k7_partfun1(u1_struct_0(A),D,F)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),D,F),k7_partfun1(u1_struct_0(A),C,E)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => k1_funct_1(B,E) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),C,E),k7_partfun1(u1_struct_0(A),D,E)) ) ) ) => k3_group_4(A,B) = k6_algstr_0(A,k3_group_4(A,C),k3_group_4(A,D)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(H) = G & k3_finseq_1(H) = k3_finseq_1(I) & k3_finseq_1(H) = k3_finseq_1(J) & ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ( ( r2_tarski(K,k4_finseq_1(H)) & r2_tarski(L,k4_finseq_1(H)) ) => ( K = L | k6_algstr_0(A,k7_partfun1(u1_struct_0(A),I,K),k7_partfun1(u1_struct_0(A),J,L)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),J,L),k7_partfun1(u1_struct_0(A),I,K)) ) ) ) ) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(H)) => k1_funct_1(H,K) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),I,K),k7_partfun1(u1_struct_0(A),J,K)) ) ) ) => k3_group_4(A,H) = k6_algstr_0(A,k3_group_4(A,I),k3_group_4(A,J)) ) ) ) ) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ! [N] : ( m2_finseq_1(N,u1_struct_0(A)) => ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ( ( k3_finseq_1(M) = k1_nat_1(G,1) & k3_finseq_1(M) = k3_finseq_1(N) & k3_finseq_1(M) = k3_finseq_1(O) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( r2_tarski(P,k4_finseq_1(M)) & r2_tarski(Q,k4_finseq_1(M)) ) => ( P = Q | k6_algstr_0(A,k7_partfun1(u1_struct_0(A),N,P),k7_partfun1(u1_struct_0(A),O,Q)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),O,Q),k7_partfun1(u1_struct_0(A),N,P)) ) ) ) ) & ! [P] : ( v7_ordinal1(P) => ( r2_tarski(P,k4_finseq_1(M)) => k1_funct_1(M,P) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),N,P),k7_partfun1(u1_struct_0(A),O,P)) ) ) ) => k3_group_4(A,M) = k6_algstr_0(A,k3_group_4(A,N),k3_group_4(A,O)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( m2_finseq_1(R,u1_struct_0(A)) => ! [S] : ( m2_finseq_1(S,u1_struct_0(A)) => ! [T] : ( m2_finseq_1(T,u1_struct_0(A)) => ( ( k3_finseq_1(R) = G & k3_finseq_1(R) = k3_finseq_1(S) & k3_finseq_1(R) = k3_finseq_1(T) & ! [U] : ( v7_ordinal1(U) => ! [V] : ( v7_ordinal1(V) => ( ( r2_tarski(U,k4_finseq_1(R)) & r2_tarski(V,k4_finseq_1(R)) ) => ( U = V | k6_algstr_0(A,k7_partfun1(u1_struct_0(A),S,U),k7_partfun1(u1_struct_0(A),T,V)) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),T,V),k7_partfun1(u1_struct_0(A),S,U)) ) ) ) ) & ! [U] : ( v7_ordinal1(U) => ( r2_tarski(U,k4_finseq_1(R)) => k1_funct_1(R,U) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),S,U),k7_partfun1(u1_struct_0(A),T,U)) ) ) ) => k3_group_4(A,R) = k6_algstr_0(A,k3_group_4(A,S),k3_group_4(A,T)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_66__int_4,axiom,( ( ! [A] : ( v1_finset_1(A) => ~ ( k4_card_1(A) = k5_numbers & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( k3_finseq_1(B) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) => r2_tarski(k1_funct_1(B,C),A) ) ) & v2_funct_1(B) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_finset_1(E) => ~ ( k4_card_1(E) = D & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ~ ( k3_finseq_1(F) = D & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k1_relset_1(k4_ordinal1,F)) => r2_tarski(k1_funct_1(F,G),E) ) ) & v2_funct_1(F) ) ) ) ) => ! [H] : ( v1_finset_1(H) => ~ ( k4_card_1(H) = k1_nat_1(D,1) & ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( k3_finseq_1(I) = k1_nat_1(D,1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k1_relset_1(k4_ordinal1,I)) => r2_tarski(k1_funct_1(I,J),H) ) ) & v2_funct_1(I) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( v1_finset_1(K) => ~ ( k4_card_1(K) = D & ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) ) => ~ ( k3_finseq_1(L) = D & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k1_relset_1(k4_ordinal1,L)) => r2_tarski(k1_funct_1(L,M),K) ) ) & v2_funct_1(L) ) ) ) ) ) )).
fof(s2_nat_1__e3_67__funct_9,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k5_numbers,1))) & ! [C] : ( v7_ordinal1(C) => ( v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(C,1))) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k1_nat_1(C,1),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(C,1))) ) ) ) )).
fof(s2_nat_1__e3_67__modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(C),k5_numbers) & B = k4_subset_1(k13_modelc_2(A),C,D) ) => r1_xxreal_0(k18_modelc_3(A,B),k2_xcmplx_0(k18_modelc_3(A,C),k18_modelc_3(A,D))) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k13_modelc_2(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k13_modelc_2(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(G),E) & F = k4_subset_1(k13_modelc_2(A),G,H) ) => r1_xxreal_0(k18_modelc_3(A,F),k2_xcmplx_0(k18_modelc_3(A,G),k18_modelc_3(A,H))) ) ) ) ) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k13_modelc_2(A))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(k13_modelc_2(A))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(J),k1_nat_1(E,1)) & I = k4_subset_1(k13_modelc_2(A),J,K) ) => r1_xxreal_0(k18_modelc_3(A,I),k2_xcmplx_0(k18_modelc_3(A,J),k18_modelc_3(A,K))) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m1_subset_1(L,k1_zfmisc_1(k13_modelc_2(A))) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(k13_modelc_2(A))) => ! [N] : ( m1_subset_1(N,k1_zfmisc_1(k13_modelc_2(A))) => ( ( r1_xxreal_0(k4_card_1(M),E) & L = k4_subset_1(k13_modelc_2(A),M,N) ) => r1_xxreal_0(k18_modelc_3(A,L),k2_xcmplx_0(k18_modelc_3(A,M),k18_modelc_3(A,N))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_69__card_2,axiom,( ( v1_finset_1(k4_classes1(k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( v1_finset_1(k4_classes1(A)) => v1_finset_1(k4_classes1(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => v1_finset_1(k4_classes1(A)) ) )).
fof(s2_nat_1__e3_69__funct_9,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k5_numbers,1))) & ! [C] : ( v7_ordinal1(C) => ( v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(C,1))) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(k1_nat_1(C,1),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_funct_9(k9_valued_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,A),B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(C,1))) ) ) ) )).
fof(s2_nat_1__e3_6_3__graph_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,B) & C = k1_recdef_1(k14_finseq_1(a_2_1_graph_2(A,B)),k5_numbers) ) => r1_xxreal_0(k2_xcmplx_0(A,k5_numbers),C) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & E = k1_recdef_1(k14_finseq_1(a_2_1_graph_2(A,B)),D) ) => r1_xxreal_0(k2_xcmplx_0(A,D),E) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),B) & F = k1_recdef_1(k14_finseq_1(a_2_1_graph_2(A,B)),k1_nat_1(D,1)) ) => r1_xxreal_0(k2_xcmplx_0(A,k1_nat_1(D,1)),F) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & G = k1_recdef_1(k14_finseq_1(a_2_1_graph_2(A,B)),D) ) => r1_xxreal_0(k2_xcmplx_0(A,D),G) ) ) ) ) ) )).
fof(s2_nat_1__e3_6__integra8,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k19_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k5_numbers),1),k28_sin_cos))) = k4_xcmplx_0(k19_sin_cos(A)) & ! [B] : ( v7_ordinal1(B) => ( k19_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),1),k28_sin_cos))) = k4_xcmplx_0(k19_sin_cos(A)) => k19_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),1),k28_sin_cos))) = k4_xcmplx_0(k19_sin_cos(A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k19_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,B),1),k28_sin_cos))) = k4_xcmplx_0(k19_sin_cos(A)) ) ) ) )).
fof(s2_nat_1__e3_6__rearran1,axiom,( ( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ~ ( k4_card_1(A) = k5_numbers & ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ~ ( k3_finseq_1(B) = k4_card_1(A) & v2_rearran1(B) & v1_rearran1(B) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( ~ v1_xboole_0(D) & v1_finset_1(D) ) => ~ ( k4_card_1(D) = C & ! [E] : ( m2_finseq_1(E,k1_zfmisc_1(D)) => ~ ( k3_finseq_1(E) = k4_card_1(D) & v2_rearran1(E) & v1_rearran1(E) ) ) ) ) => ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) ) => ~ ( k4_card_1(F) = k1_nat_1(C,1) & ! [G] : ( m2_finseq_1(G,k1_zfmisc_1(F)) => ~ ( k3_finseq_1(G) = k4_card_1(F) & v2_rearran1(G) & v1_rearran1(G) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( ~ v1_xboole_0(H) & v1_finset_1(H) ) => ~ ( k4_card_1(H) = C & ! [I] : ( m2_finseq_1(I,k1_zfmisc_1(H)) => ~ ( k3_finseq_1(I) = k4_card_1(H) & v2_rearran1(I) & v1_rearran1(I) ) ) ) ) ) )).
fof(s2_nat_1__e3_6__weddwitt,axiom,( ( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_eqrel_1(B,A) => ( k4_card_1(B) = k5_numbers => ! [C] : ( m2_finseq_1(C,B) => ( ( v2_funct_1(C) & k2_relset_1(B,C) = B ) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( k3_finseq_1(D) = k3_finseq_1(C) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k1_card_1(k1_funct_1(C,E)) ) ) ) => k4_card_1(A) = k1_wsierp_1(D) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v1_finset_1(G) => ! [H] : ( m1_eqrel_1(H,G) => ( k4_card_1(H) = F => ! [I] : ( m2_finseq_1(I,H) => ( ( v2_funct_1(I) & k2_relset_1(H,I) = H ) => ! [J] : ( m2_finseq_1(J,k4_ordinal1) => ( ( k3_finseq_1(J) = k3_finseq_1(I) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r2_tarski(K,k4_finseq_1(J)) => k1_funct_1(J,K) = k1_card_1(k1_funct_1(I,K)) ) ) ) => k4_card_1(G) = k1_wsierp_1(J) ) ) ) ) ) ) ) => ! [L] : ( v1_finset_1(L) => ! [M] : ( m1_eqrel_1(M,L) => ( k4_card_1(M) = k1_nat_1(F,1) => ! [N] : ( m2_finseq_1(N,M) => ( ( v2_funct_1(N) & k2_relset_1(M,N) = M ) => ! [O] : ( m2_finseq_1(O,k4_ordinal1) => ( ( k3_finseq_1(O) = k3_finseq_1(N) & ! [P] : ( m1_subset_1(P,k4_ordinal1) => ( r2_tarski(P,k4_finseq_1(O)) => k1_funct_1(O,P) = k1_card_1(k1_funct_1(N,P)) ) ) ) => k4_card_1(L) = k1_wsierp_1(O) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( v1_finset_1(Q) => ! [R] : ( m1_eqrel_1(R,Q) => ( k4_card_1(R) = F => ! [S] : ( m2_finseq_1(S,R) => ( ( v2_funct_1(S) & k2_relset_1(R,S) = R ) => ! [T] : ( m2_finseq_1(T,k4_ordinal1) => ( ( k3_finseq_1(T) = k3_finseq_1(S) & ! [U] : ( m1_subset_1(U,k4_ordinal1) => ( r2_tarski(U,k4_finseq_1(T)) => k1_funct_1(T,U) = k1_card_1(k1_funct_1(S,U)) ) ) ) => k4_card_1(Q) = k1_wsierp_1(T) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_72__fib_num2,axiom,( ( k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,k5_numbers),2)) = k8_finseq_1(k4_ordinal1,k5_fib_num2(k3_xcmplx_0(2,k5_numbers)),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k5_numbers),2)))) & ! [A] : ( v7_ordinal1(A) => ( k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),2)) = k8_finseq_1(k4_ordinal1,k5_fib_num2(k3_xcmplx_0(2,A)),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),2)))) => k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),2)) = k8_finseq_1(k4_ordinal1,k5_fib_num2(k3_xcmplx_0(2,k1_nat_1(A,1))),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),2)))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),2)) = k8_finseq_1(k4_ordinal1,k5_fib_num2(k3_xcmplx_0(2,A)),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),2)))) ) )).
fof(s2_nat_1__e3_72__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( B = k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k5_numbers,1)) & C = k8_nat_1(k1_numbers,k6_real_3(A),k5_numbers) ) => k6_nat_d(B,C) = 1 ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( E = k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(D,1)) & F = k8_nat_1(k1_numbers,k6_real_3(A),D) ) => k6_nat_d(E,F) = 1 ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( G = k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k1_nat_1(D,1),1)) & H = k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(D,1)) ) => k6_nat_d(G,H) = 1 ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( I = k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(D,1)) & J = k8_nat_1(k1_numbers,k6_real_3(A),D) ) => k6_nat_d(I,J) = 1 ) ) ) ) ) ) )).
fof(s2_nat_1__e3_73__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m2_lattice5(D,A,B,C) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(E,k5_numbers) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(E,F) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,F))) ) => ( r1_xxreal_0(E,k1_nat_1(F,1)) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(E,F) => r1_tarski(k1_xfamily(k1_funct_1(D,E)),k1_xfamily(k1_funct_1(D,F))) ) ) ) ) )).
fof(s2_nat_1__e3_74_1__comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_comput_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(A)))) & m1_subset_1(C,k4_ordinal1) ) => ( ( r1_tarski(k8_nat_1(k2_comput_1(A),B,C),k8_nat_1(k2_comput_1(A),B,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k8_nat_1(k2_comput_1(A),B,C),k8_nat_1(k2_comput_1(A),B,k2_xcmplx_0(C,D))) => r1_tarski(k8_nat_1(k2_comput_1(A),B,C),k8_nat_1(k2_comput_1(A),B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(k2_comput_1(A),B,C),k8_nat_1(k2_comput_1(A),B,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e3_74__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m2_lattice5(D,A,B,C) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(E,k5_numbers) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(E,F) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,F))) ) => ( r1_xxreal_0(E,k1_nat_1(F,1)) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(E,F) => r1_tarski(k2_xfamily(k1_funct_1(D,E)),k2_xfamily(k1_funct_1(D,F))) ) ) ) ) )).
fof(s2_nat_1__e3_74__stirl2_1,axiom,( ( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( k4_card_1(A) = k5_numbers & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_card_1(k4_card_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_card_1(k4_card_1(A))))) ) => ~ ( v3_funct_2(B,A,k5_card_1(k4_card_1(A))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(C,k1_relset_1(A,B)) & r2_tarski(D,k1_relset_1(A,B)) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(k2_stirl2_1(A,k4_card_1(A),B,D),k2_stirl2_1(A,k4_card_1(A),B,C)) ) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( k4_card_1(F) = E & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,F,k5_card_1(k4_card_1(F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(F,k5_card_1(k4_card_1(F))))) ) => ~ ( v3_funct_2(G,F,k5_card_1(k4_card_1(F))) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(H,k1_relset_1(F,G)) & r2_tarski(I,k1_relset_1(F,G)) & ~ r1_xxreal_0(I,H) & r1_xxreal_0(k2_stirl2_1(F,k4_card_1(F),G,I),k2_stirl2_1(F,k4_card_1(F),G,H)) ) ) ) ) ) ) ) => ! [J] : ( ( v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( k4_card_1(J) = k1_nat_1(E,1) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,J,k5_card_1(k4_card_1(J))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(J,k5_card_1(k4_card_1(J))))) ) => ~ ( v3_funct_2(K,J,k5_card_1(k4_card_1(J))) & ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(L,k1_relset_1(J,K)) & r2_tarski(M,k1_relset_1(J,K)) & ~ r1_xxreal_0(M,L) & r1_xxreal_0(k2_stirl2_1(J,k4_card_1(J),K,M),k2_stirl2_1(J,k4_card_1(J),K,L)) ) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( ( v1_finset_1(N) & m1_subset_1(N,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( k4_card_1(N) = E & ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,N,k5_card_1(k4_card_1(N))) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(N,k5_card_1(k4_card_1(N))))) ) => ~ ( v3_funct_2(O,N,k5_card_1(k4_card_1(N))) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ~ ( r2_tarski(P,k1_relset_1(N,O)) & r2_tarski(Q,k1_relset_1(N,O)) & ~ r1_xxreal_0(Q,P) & r1_xxreal_0(k2_stirl2_1(N,k4_card_1(N),O,Q),k2_stirl2_1(N,k4_card_1(N),O,P)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_75__topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( ( ! [B] : ( m2_finseq_1(B,k1_topalg_6(A)) => ! [C] : ( m2_finseq_1(C,k1_topalg_6(A)) => ( k3_finseq_1(B) = k5_numbers => k1_funct_1(k5_topalg_6(A,k8_finseq_1(k1_topalg_6(A),B,C)),k3_finseq_1(B)) = k1_funct_1(k5_topalg_6(A,B),k3_finseq_1(B)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k1_topalg_6(A)) => ! [F] : ( m2_finseq_1(F,k1_topalg_6(A)) => ( k3_finseq_1(E) = D => k1_funct_1(k5_topalg_6(A,k8_finseq_1(k1_topalg_6(A),E,F)),k3_finseq_1(E)) = k1_funct_1(k5_topalg_6(A,E),k3_finseq_1(E)) ) ) ) => ! [G] : ( m2_finseq_1(G,k1_topalg_6(A)) => ! [H] : ( m2_finseq_1(H,k1_topalg_6(A)) => ( k3_finseq_1(G) = k1_nat_1(D,1) => k1_funct_1(k5_topalg_6(A,k8_finseq_1(k1_topalg_6(A),G,H)),k3_finseq_1(G)) = k1_funct_1(k5_topalg_6(A,G),k3_finseq_1(G)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,k1_topalg_6(A)) => ! [J] : ( m2_finseq_1(J,k1_topalg_6(A)) => ( k3_finseq_1(I) = D => k1_funct_1(k5_topalg_6(A,k8_finseq_1(k1_topalg_6(A),I,J)),k3_finseq_1(I)) = k1_funct_1(k5_topalg_6(A,I),k3_finseq_1(I)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_77__fib_num2,axiom,( ( k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,k5_numbers),3)) = k8_finseq_1(k4_ordinal1,k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k5_numbers),3)))) & ! [A] : ( v7_ordinal1(A) => ( k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),3)) = k8_finseq_1(k4_ordinal1,k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),1)),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),3)))) => k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),3)) = k8_finseq_1(k4_ordinal1,k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),1)),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),3)))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),3)) = k8_finseq_1(k4_ordinal1,k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),1)),k12_finseq_1(k4_ordinal1,k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),3)))) ) )).
fof(s2_nat_1__e3_77__qc_lang1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_qc_lang1(A)) ) => ( ( r1_qc_lang1(A,B,k30_qc_lang1(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_qc_lang1(A,B,k30_qc_lang1(A,B,C)) => r1_qc_lang1(A,B,k30_qc_lang1(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_qc_lang1(A,B,k30_qc_lang1(A,B,C)) ) ) ) )).
fof(s2_nat_1__e3_77__topalg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( ( ! [C] : ( m2_finseq_1(C,k1_topalg_6(A)) => ( ( k3_finseq_1(C) = k5_numbers & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r1_tarski(k10_xtuple_0(k7_partfun1(k1_topalg_6(A),C,D)),B) ) ) ) => r1_tarski(k10_xtuple_0(k6_topalg_6(A,C)),B) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k1_topalg_6(A)) => ( ( k3_finseq_1(F) = E & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(F)) ) => r1_tarski(k10_xtuple_0(k7_partfun1(k1_topalg_6(A),F,G)),B) ) ) ) => r1_tarski(k10_xtuple_0(k6_topalg_6(A,F)),B) ) ) => ! [H] : ( m2_finseq_1(H,k1_topalg_6(A)) => ( ( k3_finseq_1(H) = k1_nat_1(E,1) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k3_finseq_1(H)) ) => r1_tarski(k10_xtuple_0(k7_partfun1(k1_topalg_6(A),H,I)),B) ) ) ) => r1_tarski(k10_xtuple_0(k6_topalg_6(A,H)),B) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,k1_topalg_6(A)) => ( ( k3_finseq_1(J) = E & ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(1,K) & r1_xxreal_0(K,k3_finseq_1(J)) ) => r1_tarski(k10_xtuple_0(k7_partfun1(k1_topalg_6(A),J,K)),B) ) ) ) => r1_tarski(k10_xtuple_0(k6_topalg_6(A,J)),B) ) ) ) ) ) )).
fof(s2_nat_1__e3_78__fib_num2,axiom,( ( k16_rvsum_1(k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,k5_numbers),2))) = k6_xcmplx_0(k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k5_numbers),3)),1) & ! [A] : ( v7_ordinal1(A) => ( k16_rvsum_1(k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),2))) = k6_xcmplx_0(k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),3)),1) => k16_rvsum_1(k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),2))) = k6_xcmplx_0(k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),3)),1) ) ) ) => ! [A] : ( v7_ordinal1(A) => k16_rvsum_1(k5_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),2))) = k6_xcmplx_0(k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),3)),1) ) )).
fof(s2_nat_1__e3_78__flang_1,axiom,( ! [A] : ( ( ! [B] : ( m1_subset_1(B,k3_catalan2(A)) => ( k1_afinsq_1(B) = k5_numbers => r2_tarski(B,k7_flang_1(A,k9_flang_1(A),k5_numbers)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m1_subset_1(D,k3_catalan2(A)) => ( k1_afinsq_1(D) = C => r2_tarski(D,k7_flang_1(A,k9_flang_1(A),C)) ) ) => ! [E] : ( m1_subset_1(E,k3_catalan2(A)) => ( k1_afinsq_1(E) = k1_nat_1(C,1) => r2_tarski(E,k7_flang_1(A,k9_flang_1(A),k1_nat_1(C,1))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m1_subset_1(F,k3_catalan2(A)) => ( k1_afinsq_1(F) = C => r2_tarski(F,k7_flang_1(A,k9_flang_1(A),C)) ) ) ) ) )).
fof(s2_nat_1__e3_78__topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( ! [B] : ( m2_finseq_1(B,k1_topalg_6(A)) => ~ ( k3_finseq_1(B) = k5_numbers & ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(B),C) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),B,C),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,C)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),B,k1_nat_1(C,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,k1_nat_1(C,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,C))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,k1_nat_1(C,1)))) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => v7_topalg_6(k7_partfun1(k1_topalg_6(A),B,C),A) ) ) & ! [C] : ( ( v7_topalg_6(C,A) & m2_subset_1(C,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( k6_topalg_6(A,B) = C & k9_xtuple_0(C) = k1_xxreal_1(k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,1))),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,k3_finseq_1(B))))) & k2_topalg_6(A,C) = k1_funct_1(k7_partfun1(k1_topalg_6(A),B,1),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,1)))) & k3_topalg_6(A,C) = k1_funct_1(k7_partfun1(k1_topalg_6(A),B,k3_finseq_1(B)),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,k3_finseq_1(B))))) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k1_topalg_6(A)) => ~ ( k3_finseq_1(E) = D & ~ r1_xxreal_0(k3_finseq_1(E),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),E,F),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,F)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),E,k1_nat_1(F,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,k1_nat_1(F,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,F))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,k1_nat_1(F,1)))) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) ) => v7_topalg_6(k7_partfun1(k1_topalg_6(A),E,F),A) ) ) & ! [F] : ( ( v7_topalg_6(F,A) & m2_subset_1(F,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( k6_topalg_6(A,E) = F & k9_xtuple_0(F) = k1_xxreal_1(k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,1))),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,k3_finseq_1(E))))) & k2_topalg_6(A,F) = k1_funct_1(k7_partfun1(k1_topalg_6(A),E,1),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,1)))) & k3_topalg_6(A,F) = k1_funct_1(k7_partfun1(k1_topalg_6(A),E,k3_finseq_1(E)),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),E,k3_finseq_1(E))))) ) ) ) ) => ! [G] : ( m2_finseq_1(G,k1_topalg_6(A)) => ~ ( k3_finseq_1(G) = k1_nat_1(D,1) & ~ r1_xxreal_0(k3_finseq_1(G),k5_numbers) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(G),H) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),G,H),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,H)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),G,k1_nat_1(H,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,k1_nat_1(H,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,H))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,k1_nat_1(H,1)))) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(G)) ) => v7_topalg_6(k7_partfun1(k1_topalg_6(A),G,H),A) ) ) & ! [H] : ( ( v7_topalg_6(H,A) & m2_subset_1(H,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( k6_topalg_6(A,G) = H & k9_xtuple_0(H) = k1_xxreal_1(k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,1))),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,k3_finseq_1(G))))) & k2_topalg_6(A,H) = k1_funct_1(k7_partfun1(k1_topalg_6(A),G,1),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,1)))) & k3_topalg_6(A,H) = k1_funct_1(k7_partfun1(k1_topalg_6(A),G,k3_finseq_1(G)),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),G,k3_finseq_1(G))))) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,k1_topalg_6(A)) => ~ ( k3_finseq_1(I) = D & ~ r1_xxreal_0(k3_finseq_1(I),k5_numbers) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(1,J) => ( r1_xxreal_0(k3_finseq_1(I),J) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),I,J),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,J)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),I,k1_nat_1(J,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,k1_nat_1(J,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,J))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,k1_nat_1(J,1)))) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(J,k3_finseq_1(I)) ) => v7_topalg_6(k7_partfun1(k1_topalg_6(A),I,J),A) ) ) & ! [J] : ( ( v7_topalg_6(J,A) & m2_subset_1(J,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( k6_topalg_6(A,I) = J & k9_xtuple_0(J) = k1_xxreal_1(k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,1))),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,k3_finseq_1(I))))) & k2_topalg_6(A,J) = k1_funct_1(k7_partfun1(k1_topalg_6(A),I,1),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,1)))) & k3_topalg_6(A,J) = k1_funct_1(k7_partfun1(k1_topalg_6(A),I,k3_finseq_1(I)),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),I,k3_finseq_1(I))))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_79__fib_num2,axiom,( ( k16_rvsum_1(k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,k5_numbers),1))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k5_numbers),2)) & ! [A] : ( v7_ordinal1(A) => ( k16_rvsum_1(k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),1))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),2)) => k16_rvsum_1(k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),1))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k16_rvsum_1(k6_fib_num2(k1_nat_1(k3_xcmplx_0(2,A),1))) = k1_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),2)) ) )).
fof(s2_nat_1__e3_79__topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( ! [B] : ( m2_finseq_1(B,k1_topalg_6(A)) => ! [C] : ( m2_finseq_1(C,k1_topalg_6(A)) => ! [D] : ( ( v7_topalg_6(D,A) & m2_subset_1(D,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [E] : ( ( v7_topalg_6(E,A) & m2_subset_1(E,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & k6_topalg_6(A,B) = D & k6_topalg_6(A,C) = E & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(B),F) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),B,F),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,F)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),B,k1_nat_1(F,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,k1_nat_1(F,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,F))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),B,k1_nat_1(F,1)))) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(C),F) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),C,F),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),C,F)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),C,k1_nat_1(F,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),C,k1_nat_1(F,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),C,F))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),C,k1_nat_1(F,1)))) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(B)) & ! [G] : ( ( v7_topalg_6(G,A) & m2_subset_1(G,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [H] : ( ( v7_topalg_6(H,A) & m2_subset_1(H,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( G = k7_partfun1(k1_topalg_6(A),B,F) & H = k7_partfun1(k1_topalg_6(A),C,F) & r2_topalg_6(A,G,H) & k9_xtuple_0(G) = k9_xtuple_0(H) ) ) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) | r2_topalg_6(A,D,E) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m2_finseq_1(J,k1_topalg_6(A)) => ! [K] : ( m2_finseq_1(K,k1_topalg_6(A)) => ! [L] : ( ( v7_topalg_6(L,A) & m2_subset_1(L,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [M] : ( ( v7_topalg_6(M,A) & m2_subset_1(M,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ( ( k3_finseq_1(J) = I & k3_finseq_1(J) = k3_finseq_1(K) & k6_topalg_6(A,J) = L & k6_topalg_6(A,K) = M & ! [N] : ( v7_ordinal1(N) => ( r1_xxreal_0(1,N) => ( r1_xxreal_0(k3_finseq_1(J),N) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),J,N),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),J,N)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),J,k1_nat_1(N,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),J,k1_nat_1(N,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),J,N))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),J,k1_nat_1(N,1)))) ) ) ) ) & ! [N] : ( v7_ordinal1(N) => ( r1_xxreal_0(1,N) => ( r1_xxreal_0(k3_finseq_1(K),N) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),K,N),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),K,N)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),K,k1_nat_1(N,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),K,k1_nat_1(N,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),K,N))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),K,k1_nat_1(N,1)))) ) ) ) ) & ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(1,N) & r1_xxreal_0(N,k3_finseq_1(J)) & ! [O] : ( ( v7_topalg_6(O,A) & m2_subset_1(O,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [P] : ( ( v7_topalg_6(P,A) & m2_subset_1(P,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( O = k7_partfun1(k1_topalg_6(A),J,N) & P = k7_partfun1(k1_topalg_6(A),K,N) & r2_topalg_6(A,O,P) & k9_xtuple_0(O) = k9_xtuple_0(P) ) ) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(J),k5_numbers) | r2_topalg_6(A,L,M) ) ) ) ) ) ) => ! [Q] : ( m2_finseq_1(Q,k1_topalg_6(A)) => ! [R] : ( m2_finseq_1(R,k1_topalg_6(A)) => ! [S] : ( ( v7_topalg_6(S,A) & m2_subset_1(S,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [T] : ( ( v7_topalg_6(T,A) & m2_subset_1(T,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ( ( k3_finseq_1(Q) = k1_nat_1(I,1) & k3_finseq_1(Q) = k3_finseq_1(R) & k6_topalg_6(A,Q) = S & k6_topalg_6(A,R) = T & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(1,U) => ( r1_xxreal_0(k3_finseq_1(Q),U) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),Q,U),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Q,U)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),Q,k1_nat_1(U,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Q,k1_nat_1(U,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Q,U))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Q,k1_nat_1(U,1)))) ) ) ) ) & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(1,U) => ( r1_xxreal_0(k3_finseq_1(R),U) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),R,U),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),R,U)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),R,k1_nat_1(U,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),R,k1_nat_1(U,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),R,U))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),R,k1_nat_1(U,1)))) ) ) ) ) & ! [U] : ( v7_ordinal1(U) => ~ ( r1_xxreal_0(1,U) & r1_xxreal_0(U,k3_finseq_1(Q)) & ! [V] : ( ( v7_topalg_6(V,A) & m2_subset_1(V,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [W] : ( ( v7_topalg_6(W,A) & m2_subset_1(W,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( V = k7_partfun1(k1_topalg_6(A),Q,U) & W = k7_partfun1(k1_topalg_6(A),R,U) & r2_topalg_6(A,V,W) & k9_xtuple_0(V) = k9_xtuple_0(W) ) ) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(Q),k5_numbers) | r2_topalg_6(A,S,T) ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [X] : ( m2_finseq_1(X,k1_topalg_6(A)) => ! [Y] : ( m2_finseq_1(Y,k1_topalg_6(A)) => ! [Z] : ( ( v7_topalg_6(Z,A) & m2_subset_1(Z,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [A1] : ( ( v7_topalg_6(A1,A) & m2_subset_1(A1,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ( ( k3_finseq_1(X) = I & k3_finseq_1(X) = k3_finseq_1(Y) & k6_topalg_6(A,X) = Z & k6_topalg_6(A,Y) = A1 & ! [B1] : ( v7_ordinal1(B1) => ( r1_xxreal_0(1,B1) => ( r1_xxreal_0(k3_finseq_1(X),B1) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),X,B1),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),X,B1)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),X,k1_nat_1(B1,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),X,k1_nat_1(B1,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),X,B1))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),X,k1_nat_1(B1,1)))) ) ) ) ) & ! [B1] : ( v7_ordinal1(B1) => ( r1_xxreal_0(1,B1) => ( r1_xxreal_0(k3_finseq_1(Y),B1) | ( k1_funct_1(k7_partfun1(k1_topalg_6(A),Y,B1),k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Y,B1)))) = k1_funct_1(k7_partfun1(k1_topalg_6(A),Y,k1_nat_1(B1,1)),k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Y,k1_nat_1(B1,1))))) & k1_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Y,B1))) = k2_xxreal_2(k9_xtuple_0(k7_partfun1(k1_topalg_6(A),Y,k1_nat_1(B1,1)))) ) ) ) ) & ! [B1] : ( v7_ordinal1(B1) => ~ ( r1_xxreal_0(1,B1) & r1_xxreal_0(B1,k3_finseq_1(X)) & ! [C1] : ( ( v7_topalg_6(C1,A) & m2_subset_1(C1,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [D1] : ( ( v7_topalg_6(D1,A) & m2_subset_1(D1,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ~ ( C1 = k7_partfun1(k1_topalg_6(A),X,B1) & D1 = k7_partfun1(k1_topalg_6(A),Y,B1) & r2_topalg_6(A,C1,D1) & k9_xtuple_0(C1) = k9_xtuple_0(D1) ) ) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(X),k5_numbers) | r2_topalg_6(A,Z,A1) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_7_1__measure3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k8_nat_1(B,C,D),k8_nat_1(B,C,k5_numbers)) => r1_tarski(k8_nat_1(B,C,k1_nat_1(D,1)),k8_nat_1(B,C,k5_numbers)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(B,C,D),k8_nat_1(B,C,k5_numbers)) ) ) ) )).
fof(s2_nat_1__e3_7__bcialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( C = k5_numbers & r1_xxreal_0(C,B) ) => k1_bcialg_2(A,k4_struct_0(A),k4_struct_0(A),C) = k4_struct_0(A) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ( E = D & r1_xxreal_0(E,B) ) => k1_bcialg_2(A,k4_struct_0(A),k4_struct_0(A),E) = k4_struct_0(A) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( F = k1_nat_1(D,1) & r1_xxreal_0(F,B) ) => k1_bcialg_2(A,k4_struct_0(A),k4_struct_0(A),F) = k4_struct_0(A) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ( ( G = D & r1_xxreal_0(G,B) ) => k1_bcialg_2(A,k4_struct_0(A),k4_struct_0(A),G) = k4_struct_0(A) ) ) ) ) ) )).
fof(s2_nat_1__e3_7__card_fin,axiom,( ( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ( ( k4_card_1(B) = k5_numbers & r1_xxreal_0(k4_card_1(A),k4_card_1(B)) ) => k1_card_1(a_2_0_card_fin(A,B)) = k7_xcmplx_0(k7_newton(k4_card_1(B)),k7_newton(k7_nat_d(k4_card_1(B),k4_card_1(A)))) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v1_finset_1(D) => ! [E] : ( v1_finset_1(E) => ( ( k4_card_1(E) = C & r1_xxreal_0(k4_card_1(D),k4_card_1(E)) ) => k1_card_1(a_2_0_card_fin(D,E)) = k7_xcmplx_0(k7_newton(k4_card_1(E)),k7_newton(k7_nat_d(k4_card_1(E),k4_card_1(D)))) ) ) ) => ! [F] : ( v1_finset_1(F) => ! [G] : ( v1_finset_1(G) => ( ( k4_card_1(G) = k1_nat_1(C,1) & r1_xxreal_0(k4_card_1(F),k4_card_1(G)) ) => k1_card_1(a_2_0_card_fin(F,G)) = k7_xcmplx_0(k7_newton(k4_card_1(G)),k7_newton(k7_nat_d(k4_card_1(G),k4_card_1(F)))) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( v1_finset_1(H) => ! [I] : ( v1_finset_1(I) => ( ( k4_card_1(I) = C & r1_xxreal_0(k4_card_1(H),k4_card_1(I)) ) => k1_card_1(a_2_0_card_fin(H,I)) = k7_xcmplx_0(k7_newton(k4_card_1(I)),k7_newton(k7_nat_d(k4_card_1(I),k4_card_1(H)))) ) ) ) ) )).
fof(s2_nat_1__e3_7__fib_num,axiom,( ( r1_xxreal_0(k1_pre_ff(k5_numbers),k1_pre_ff(k1_nat_1(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) => r1_xxreal_0(k1_pre_ff(k1_nat_1(A,1)),k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(s2_nat_1__e3_7__int_5,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ~ ( k3_finseq_1(A) = k1_nat_1(k5_numbers,1) & k3_finseq_1(B) = k3_finseq_1(A) & k3_finseq_1(C) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => k1_funct_1(A,D) = k6_xcmplx_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) & ! [D] : ( m2_finseq_1(D,k1_numbers) => ~ ( k3_finseq_1(D) = k6_xcmplx_0(k3_finseq_1(A),1) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = k6_xcmplx_0(k1_funct_1(B,E),k1_funct_1(C,k1_nat_1(E,1))) ) ) & k18_rvsum_1(A) = k6_xcmplx_0(k2_xcmplx_0(k18_rvsum_1(D),k1_funct_1(B,k1_nat_1(k5_numbers,1))),k1_funct_1(C,1)) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,k1_numbers) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ~ ( k3_finseq_1(G) = k1_nat_1(F,1) & k3_finseq_1(H) = k3_finseq_1(G) & k3_finseq_1(I) = k3_finseq_1(G) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(G)) => k1_funct_1(G,J) = k6_xcmplx_0(k1_funct_1(H,J),k1_funct_1(I,J)) ) ) & ! [J] : ( m2_finseq_1(J,k1_numbers) => ~ ( k3_finseq_1(J) = k6_xcmplx_0(k3_finseq_1(G),1) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(J)) => k1_funct_1(J,K) = k6_xcmplx_0(k1_funct_1(H,K),k1_funct_1(I,k1_nat_1(K,1))) ) ) & k18_rvsum_1(G) = k6_xcmplx_0(k2_xcmplx_0(k18_rvsum_1(J),k1_funct_1(H,k1_nat_1(F,1))),k1_funct_1(I,1)) ) ) ) ) ) ) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ! [M] : ( m2_finseq_1(M,k1_numbers) => ! [N] : ( m2_finseq_1(N,k1_numbers) => ~ ( k3_finseq_1(L) = k1_nat_1(k1_nat_1(F,1),1) & k3_finseq_1(M) = k3_finseq_1(L) & k3_finseq_1(N) = k3_finseq_1(L) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k4_finseq_1(L)) => k1_funct_1(L,O) = k6_xcmplx_0(k1_funct_1(M,O),k1_funct_1(N,O)) ) ) & ! [O] : ( m2_finseq_1(O,k1_numbers) => ~ ( k3_finseq_1(O) = k6_xcmplx_0(k3_finseq_1(L),1) & ! [P] : ( v7_ordinal1(P) => ( r2_tarski(P,k4_finseq_1(O)) => k1_funct_1(O,P) = k6_xcmplx_0(k1_funct_1(M,P),k1_funct_1(N,k1_nat_1(P,1))) ) ) & k18_rvsum_1(L) = k6_xcmplx_0(k2_xcmplx_0(k18_rvsum_1(O),k1_funct_1(M,k1_nat_1(k1_nat_1(F,1),1))),k1_funct_1(N,1)) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( m2_finseq_1(Q,k1_numbers) => ! [R] : ( m2_finseq_1(R,k1_numbers) => ! [S] : ( m2_finseq_1(S,k1_numbers) => ~ ( k3_finseq_1(Q) = k1_nat_1(F,1) & k3_finseq_1(R) = k3_finseq_1(Q) & k3_finseq_1(S) = k3_finseq_1(Q) & ! [T] : ( v7_ordinal1(T) => ( r2_tarski(T,k4_finseq_1(Q)) => k1_funct_1(Q,T) = k6_xcmplx_0(k1_funct_1(R,T),k1_funct_1(S,T)) ) ) & ! [T] : ( m2_finseq_1(T,k1_numbers) => ~ ( k3_finseq_1(T) = k6_xcmplx_0(k3_finseq_1(Q),1) & ! [U] : ( v7_ordinal1(U) => ( r2_tarski(U,k4_finseq_1(T)) => k1_funct_1(T,U) = k6_xcmplx_0(k1_funct_1(R,U),k1_funct_1(S,k1_nat_1(U,1))) ) ) & k18_rvsum_1(Q) = k6_xcmplx_0(k2_xcmplx_0(k18_rvsum_1(T),k1_funct_1(R,k1_nat_1(F,1))),k1_funct_1(S,1)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_7__int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ? [B] : ( v7_ordinal1(B) & k1_newton(k2_xcmplx_0(1,A),k5_numbers) = k2_xcmplx_0(k1_nat_1(k2_xcmplx_0(1,k3_xcmplx_0(k5_numbers,A)),k2_nat_1(k4_newton(2,k5_numbers),k1_pepin(A))),k3_xcmplx_0(B,k3_polyeq_3(A))) ) & ! [C] : ( v7_ordinal1(C) => ( ? [D] : ( v7_ordinal1(D) & k1_newton(k2_xcmplx_0(1,A),C) = k2_xcmplx_0(k1_nat_1(k2_xcmplx_0(1,k3_xcmplx_0(C,A)),k2_nat_1(k4_newton(2,C),k1_pepin(A))),k3_xcmplx_0(D,k3_polyeq_3(A))) ) => ? [E] : ( v7_ordinal1(E) & k1_newton(k2_xcmplx_0(1,A),k1_nat_1(C,1)) = k2_xcmplx_0(k1_nat_1(k2_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(C,1),A)),k2_nat_1(k4_newton(2,k1_nat_1(C,1)),k1_pepin(A))),k3_xcmplx_0(E,k3_polyeq_3(A))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ? [F] : ( v7_ordinal1(F) & k1_newton(k2_xcmplx_0(1,A),C) = k2_xcmplx_0(k1_nat_1(k2_xcmplx_0(1,k3_xcmplx_0(C,A)),k2_nat_1(k4_newton(2,C),k1_pepin(A))),k3_xcmplx_0(F,k3_polyeq_3(A))) ) ) ) ) )).
fof(s2_nat_1__e3_7__seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ? [B] : ( v1_xreal_0(B) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(B,k9_complex1(k1_funct_1(A,C))) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(F,D) & r1_xxreal_0(E,k9_complex1(k1_funct_1(A,F))) ) ) ) => ? [G] : ( v1_xreal_0(G) & ~ r1_xxreal_0(G,k5_numbers) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(H,k1_nat_1(D,1)) & r1_xxreal_0(G,k9_complex1(k1_funct_1(A,H))) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [I] : ( v1_xreal_0(I) & ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(J,D) & r1_xxreal_0(I,k9_complex1(k1_funct_1(A,J))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_7__vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_xxreal_0(k1_algseq_1(A,D),k1_nat_1(k5_numbers,1)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_polynom4(A,D,E) = k12_matrix_3(k5_numbers,A,k5_matrlin2(k5_numbers,k5_numbers,A,B,k2_matrix13(k5_numbers,k5_numbers,A,C,E))) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(A),F,F) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(A))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(A),F,F) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(A))) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_xxreal_0(k1_algseq_1(A,I),k1_nat_1(F,1)) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => k2_polynom4(A,I,J) = k12_matrix_3(F,A,k5_matrlin2(F,F,A,G,k2_matrix13(F,F,A,H,J))) ) ) ) ) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),k1_nat_1(F,1),k1_nat_1(F,1)) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ! [L] : ( ( v1_matrix_0(L) & v2_matrix_0(L,u1_struct_0(A),k1_nat_1(F,1),k1_nat_1(F,1)) & m2_finseq_1(L,k3_finseq_2(u1_struct_0(A))) ) => ? [M] : ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(M,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_xxreal_0(k1_algseq_1(A,M),k1_nat_1(k1_nat_1(F,1),1)) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => k2_polynom4(A,M,N) = k12_matrix_3(k1_nat_1(F,1),A,k5_matrlin2(k1_nat_1(F,1),k1_nat_1(F,1),A,K,k2_matrix13(k1_nat_1(F,1),k1_nat_1(F,1),A,L,N))) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v1_matrix_0(O) & v2_matrix_0(O,u1_struct_0(A),F,F) & m2_finseq_1(O,k3_finseq_2(u1_struct_0(A))) ) => ! [P] : ( ( v1_matrix_0(P) & v2_matrix_0(P,u1_struct_0(A),F,F) & m2_finseq_1(P,k3_finseq_2(u1_struct_0(A))) ) => ? [Q] : ( v1_funct_1(Q) & v1_funct_2(Q,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(Q,A) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_xxreal_0(k1_algseq_1(A,Q),k1_nat_1(F,1)) & ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => k2_polynom4(A,Q,R) = k12_matrix_3(F,A,k5_matrlin2(F,F,A,O,k2_matrix13(F,F,A,P,R))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_80__topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( ( ! [B] : ( ( v7_topalg_6(B,A) & m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ~ ( k3_finseq_1(C) = k5_numbers & r1_xxreal_0(2,k3_finseq_1(C)) & k1_funct_1(C,1) = k2_xxreal_2(k9_xtuple_0(B)) & k1_funct_1(C,k3_finseq_1(C)) = k1_xxreal_2(k9_xtuple_0(B)) & v5_valued_0(C) & ! [D] : ( m2_finseq_1(D,k1_topalg_6(A)) => ~ ( k3_finseq_1(D) = k6_xcmplx_0(k3_finseq_1(C),1) & B = k6_topalg_6(A,D) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => k7_partfun1(k1_topalg_6(A),D,E) = k5_relat_1(B,k1_rcomp_1(k7_partfun1(k1_numbers,C,E),k7_partfun1(k1_numbers,C,k1_nat_1(E,1)))) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v7_topalg_6(G,A) & m2_subset_1(G,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ~ ( k3_finseq_1(H) = F & r1_xxreal_0(2,k3_finseq_1(H)) & k1_funct_1(H,1) = k2_xxreal_2(k9_xtuple_0(G)) & k1_funct_1(H,k3_finseq_1(H)) = k1_xxreal_2(k9_xtuple_0(G)) & v5_valued_0(H) & ! [I] : ( m2_finseq_1(I,k1_topalg_6(A)) => ~ ( k3_finseq_1(I) = k6_xcmplx_0(k3_finseq_1(H),1) & G = k6_topalg_6(A,I) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(J,k3_finseq_1(I)) ) => k7_partfun1(k1_topalg_6(A),I,J) = k5_relat_1(G,k1_rcomp_1(k7_partfun1(k1_numbers,H,J),k7_partfun1(k1_numbers,H,k1_nat_1(J,1)))) ) ) ) ) ) ) ) => ! [K] : ( ( v7_topalg_6(K,A) & m2_subset_1(K,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ~ ( k3_finseq_1(L) = k1_nat_1(F,1) & r1_xxreal_0(2,k3_finseq_1(L)) & k1_funct_1(L,1) = k2_xxreal_2(k9_xtuple_0(K)) & k1_funct_1(L,k3_finseq_1(L)) = k1_xxreal_2(k9_xtuple_0(K)) & v5_valued_0(L) & ! [M] : ( m2_finseq_1(M,k1_topalg_6(A)) => ~ ( k3_finseq_1(M) = k6_xcmplx_0(k3_finseq_1(L),1) & K = k6_topalg_6(A,M) & ! [N] : ( v7_ordinal1(N) => ( ( r1_xxreal_0(1,N) & r1_xxreal_0(N,k3_finseq_1(M)) ) => k7_partfun1(k1_topalg_6(A),M,N) = k5_relat_1(K,k1_rcomp_1(k7_partfun1(k1_numbers,L,N),k7_partfun1(k1_numbers,L,k1_nat_1(N,1)))) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v7_topalg_6(O,A) & m2_subset_1(O,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) => ! [P] : ( m2_finseq_1(P,k1_numbers) => ~ ( k3_finseq_1(P) = F & r1_xxreal_0(2,k3_finseq_1(P)) & k1_funct_1(P,1) = k2_xxreal_2(k9_xtuple_0(O)) & k1_funct_1(P,k3_finseq_1(P)) = k1_xxreal_2(k9_xtuple_0(O)) & v5_valued_0(P) & ! [Q] : ( m2_finseq_1(Q,k1_topalg_6(A)) => ~ ( k3_finseq_1(Q) = k6_xcmplx_0(k3_finseq_1(P),1) & O = k6_topalg_6(A,Q) & ! [R] : ( v7_ordinal1(R) => ( ( r1_xxreal_0(1,R) & r1_xxreal_0(R,k3_finseq_1(Q)) ) => k7_partfun1(k1_topalg_6(A),Q,R) = k5_relat_1(O,k1_rcomp_1(k7_partfun1(k1_numbers,P,R),k7_partfun1(k1_numbers,P,k1_nat_1(R,1)))) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_81__glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( ( k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(k39_glib_000(k16_glib_004(A)),k5_numbers)) = k17_glib_004(A) & ! [B] : ( v7_ordinal1(B) => ( k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(k39_glib_000(k16_glib_004(A)),B)) = k17_glib_004(A) => k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(k39_glib_000(k16_glib_004(A)),k1_nat_1(B,1))) = k17_glib_004(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(k39_glib_000(k16_glib_004(A)),B)) = k17_glib_004(A) ) ) ) )).
fof(s2_nat_1__e3_82__trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_trees_9(A) ) => ( ( v1_finset_1(k2_trees_2(A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( v1_finset_1(k2_trees_2(A,B)) => v1_finset_1(k2_trees_2(A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => v1_finset_1(k2_trees_2(A,B)) ) ) ) )).
fof(s2_nat_1__e3_83__rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(C)) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & k3_finseq_1(D) = k5_numbers & ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( ( r2_tarski(F,k1_relset_1(k4_ordinal1,D)) & G = k1_funct_1(E,F) ) => k1_funct_1(D,F) = k3_vectsp_1(A,C,B,G) ) ) ) ) => k4_rlvect_1(C,D) = k3_vectsp_1(A,C,B,k4_rlvect_1(C,E)) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m2_finseq_1(I,u1_struct_0(C)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(C)) => ( ( k3_finseq_1(I) = k3_finseq_1(J) & k3_finseq_1(I) = H & ! [K] : ( v7_ordinal1(K) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => ( ( r2_tarski(K,k1_relset_1(k4_ordinal1,I)) & L = k1_funct_1(J,K) ) => k1_funct_1(I,K) = k3_vectsp_1(A,C,B,L) ) ) ) ) => k4_rlvect_1(C,I) = k3_vectsp_1(A,C,B,k4_rlvect_1(C,J)) ) ) ) => ! [M] : ( m2_finseq_1(M,u1_struct_0(C)) => ! [N] : ( m2_finseq_1(N,u1_struct_0(C)) => ( ( k3_finseq_1(M) = k3_finseq_1(N) & k3_finseq_1(M) = k1_nat_1(H,1) & ! [O] : ( v7_ordinal1(O) => ! [P] : ( m1_subset_1(P,u1_struct_0(C)) => ( ( r2_tarski(O,k1_relset_1(k4_ordinal1,M)) & P = k1_funct_1(N,O) ) => k1_funct_1(M,O) = k3_vectsp_1(A,C,B,P) ) ) ) ) => k4_rlvect_1(C,M) = k3_vectsp_1(A,C,B,k4_rlvect_1(C,N)) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(C)) => ! [R] : ( m2_finseq_1(R,u1_struct_0(C)) => ( ( k3_finseq_1(Q) = k3_finseq_1(R) & k3_finseq_1(Q) = H & ! [S] : ( v7_ordinal1(S) => ! [T] : ( m1_subset_1(T,u1_struct_0(C)) => ( ( r2_tarski(S,k1_relset_1(k4_ordinal1,Q)) & T = k1_funct_1(R,S) ) => k1_funct_1(Q,S) = k3_vectsp_1(A,C,B,T) ) ) ) ) => k4_rlvect_1(C,Q) = k3_vectsp_1(A,C,B,k4_rlvect_1(C,R)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_84__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( ! [E] : ( v7_ordinal1(E) => ~ ( E = k5_numbers & r1_xxreal_0(E,A) & ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ~ ( k12_matrix_3(A,B,F) = k8_group_1(B,k1_laplace(B,k4_group_1(B),C,E),k12_matrix_3(A,B,D)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(A)) => ( ( r1_xxreal_0(G,E) => k7_matrix_0(u1_struct_0(B),F,G) = k10_fvsum_1(k1_matrix_0(D),B,k7_matrix_0(u1_struct_0(B),D,G),C) ) & ( ~ r1_xxreal_0(G,E) => k7_matrix_0(u1_struct_0(B),F,G) = k7_matrix_0(u1_struct_0(B),D,G) ) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( v7_ordinal1(I) => ~ ( I = H & r1_xxreal_0(I,A) & ! [J] : ( ( v1_matrix_0(J) & v2_matrix_0(J,u1_struct_0(B),A,A) & m2_finseq_1(J,k3_finseq_2(u1_struct_0(B))) ) => ~ ( k12_matrix_3(A,B,J) = k8_group_1(B,k1_laplace(B,k4_group_1(B),C,I),k12_matrix_3(A,B,D)) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k2_finseq_1(A)) => ( ( r1_xxreal_0(K,I) => k7_matrix_0(u1_struct_0(B),J,K) = k10_fvsum_1(k1_matrix_0(D),B,k7_matrix_0(u1_struct_0(B),D,K),C) ) & ( ~ r1_xxreal_0(K,I) => k7_matrix_0(u1_struct_0(B),J,K) = k7_matrix_0(u1_struct_0(B),D,K) ) ) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ~ ( L = k1_nat_1(H,1) & r1_xxreal_0(L,A) & ! [M] : ( ( v1_matrix_0(M) & v2_matrix_0(M,u1_struct_0(B),A,A) & m2_finseq_1(M,k3_finseq_2(u1_struct_0(B))) ) => ~ ( k12_matrix_3(A,B,M) = k8_group_1(B,k1_laplace(B,k4_group_1(B),C,L),k12_matrix_3(A,B,D)) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k2_finseq_1(A)) => ( ( r1_xxreal_0(N,L) => k7_matrix_0(u1_struct_0(B),M,N) = k10_fvsum_1(k1_matrix_0(D),B,k7_matrix_0(u1_struct_0(B),D,N),C) ) & ( ~ r1_xxreal_0(N,L) => k7_matrix_0(u1_struct_0(B),M,N) = k7_matrix_0(u1_struct_0(B),D,N) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( v7_ordinal1(O) => ~ ( O = H & r1_xxreal_0(O,A) & ! [P] : ( ( v1_matrix_0(P) & v2_matrix_0(P,u1_struct_0(B),A,A) & m2_finseq_1(P,k3_finseq_2(u1_struct_0(B))) ) => ~ ( k12_matrix_3(A,B,P) = k8_group_1(B,k1_laplace(B,k4_group_1(B),C,O),k12_matrix_3(A,B,D)) & ! [Q] : ( v7_ordinal1(Q) => ( r2_tarski(Q,k2_finseq_1(A)) => ( ( r1_xxreal_0(Q,O) => k7_matrix_0(u1_struct_0(B),P,Q) = k10_fvsum_1(k1_matrix_0(D),B,k7_matrix_0(u1_struct_0(B),D,Q),C) ) & ( ~ r1_xxreal_0(Q,O) => k7_matrix_0(u1_struct_0(B),P,Q) = k7_matrix_0(u1_struct_0(B),D,Q) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_85__matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v2_matrixj1(B,u1_struct_0(A)) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( k3_finseq_1(B) = k5_numbers => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),B)),A,k20_matrixj1(u1_struct_0(A),k4_struct_0(A),B)) = k3_group_4(A,k22_matrixj1(A,B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v2_matrixj1(D,u1_struct_0(A)) & m2_finseq_1(D,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( k3_finseq_1(D) = C => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),D)),A,k20_matrixj1(u1_struct_0(A),k4_struct_0(A),D)) = k3_group_4(A,k22_matrixj1(A,D)) ) ) => ! [E] : ( ( v2_matrixj1(E,u1_struct_0(A)) & m2_finseq_1(E,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( k3_finseq_1(E) = k1_nat_1(C,1) => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),E)),A,k20_matrixj1(u1_struct_0(A),k4_struct_0(A),E)) = k3_group_4(A,k22_matrixj1(A,E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( ( v2_matrixj1(F,u1_struct_0(A)) & m2_finseq_1(F,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( k3_finseq_1(F) = C => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),F)),A,k20_matrixj1(u1_struct_0(A),k4_struct_0(A),F)) = k3_group_4(A,k22_matrixj1(A,F)) ) ) ) ) ) )).
fof(s2_nat_1__e3_86__finseq_3,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( k3_finseq_1(A) = k5_numbers => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,A)) => ! [D] : ( v1_finset_1(D) => ~ ( D = a_3_0_finseq_3(A,B,C) & ~ r2_tarski(k1_funct_1(A,C),B) & k1_funct_1(k1_finseq_3(A,B),k6_xcmplx_0(C,k4_card_1(D))) != k1_funct_1(A,C) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ( k3_finseq_1(F) = E => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k1_relset_1(k4_ordinal1,F)) => ! [I] : ( v1_finset_1(I) => ~ ( I = a_3_0_finseq_3(F,G,H) & ~ r2_tarski(k1_funct_1(F,H),G) & k1_funct_1(k1_finseq_3(F,G),k6_xcmplx_0(H,k4_card_1(I))) != k1_funct_1(F,H) ) ) ) ) ) ) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) ) => ! [K] : ( k3_finseq_1(J) = k1_nat_1(E,1) => ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k1_relset_1(k4_ordinal1,J)) => ! [M] : ( v1_finset_1(M) => ~ ( M = a_3_0_finseq_3(J,K,L) & ~ r2_tarski(k1_funct_1(J,L),K) & k1_funct_1(k1_finseq_3(J,K),k6_xcmplx_0(L,k4_card_1(M))) != k1_funct_1(J,L) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) ) => ! [O] : ( k3_finseq_1(N) = E => ! [P] : ( v7_ordinal1(P) => ( r2_tarski(P,k1_relset_1(k4_ordinal1,N)) => ! [Q] : ( v1_finset_1(Q) => ~ ( Q = a_3_0_finseq_3(N,O,P) & ~ r2_tarski(k1_funct_1(N,P),O) & k1_funct_1(k1_finseq_3(N,O),k6_xcmplx_0(P,k4_card_1(Q))) != k1_funct_1(N,P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_86__zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ( ( ! [B] : ( ( v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) ) => ! [C] : ( ( v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ! [D] : ( m1_zmodul03(D,B) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,D) & k7_zmodul01(A,k7_zmodul01(A,B,C),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),E))) = k3_zmodul01(A) ) ) & k1_zmodul03(B) = k5_numbers ) => k1_zmodul03(k7_zmodul01(A,B,C)) = k1_zmodul03(B) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_zmodul03(G) & v2_zmodul03(G) & m1_zmodul01(G,A) ) => ! [H] : ( ( v1_zmodul03(H) & v2_zmodul03(H) & m1_zmodul01(H,A) ) => ! [I] : ( m1_zmodul03(I,G) => ( ( ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_tarski(J,I) & k7_zmodul01(A,k7_zmodul01(A,G,H),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),J))) = k3_zmodul01(A) ) ) & k1_zmodul03(G) = F ) => k1_zmodul03(k7_zmodul01(A,G,H)) = k1_zmodul03(G) ) ) ) ) => ! [K] : ( ( v1_zmodul03(K) & v2_zmodul03(K) & m1_zmodul01(K,A) ) => ! [L] : ( ( v1_zmodul03(L) & v2_zmodul03(L) & m1_zmodul01(L,A) ) => ! [M] : ( m1_zmodul03(M,K) => ( ( ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( r2_tarski(N,M) & k7_zmodul01(A,k7_zmodul01(A,K,L),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),N))) = k3_zmodul01(A) ) ) & k1_zmodul03(K) = k1_nat_1(F,1) ) => k1_zmodul03(k7_zmodul01(A,K,L)) = k1_zmodul03(K) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v1_zmodul03(O) & v2_zmodul03(O) & m1_zmodul01(O,A) ) => ! [P] : ( ( v1_zmodul03(P) & v2_zmodul03(P) & m1_zmodul01(P,A) ) => ! [Q] : ( m1_zmodul03(Q,O) => ( ( ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ~ ( r2_tarski(R,Q) & k7_zmodul01(A,k7_zmodul01(A,O,P),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),R))) = k3_zmodul01(A) ) ) & k1_zmodul03(O) = F ) => k1_zmodul03(k7_zmodul01(A,O,P)) = k1_zmodul03(O) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_88_1__trees_9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k5_numbers) => r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k5_numbers),k8_nat_1(k4_ordinal1,A,B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => r1_xxreal_0(k8_nat_1(k4_ordinal1,A,C),k8_nat_1(k4_ordinal1,A,D)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_nat_1(C,1)) => r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k1_nat_1(C,1)),k8_nat_1(k4_ordinal1,A,E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,C) => r1_xxreal_0(k8_nat_1(k4_ordinal1,A,C),k8_nat_1(k4_ordinal1,A,F)) ) ) ) ) ) )).
fof(s2_nat_1__e3_88__numpoly1,axiom,( ( k1_newton(k1_numpoly1(k5_numbers),2) = k18_rvsum_1(k5_numpoly1(3,k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( k1_newton(k1_numpoly1(A),2) = k18_rvsum_1(k5_numpoly1(3,A)) => k1_newton(k1_numpoly1(k1_nat_1(A,1)),2) = k18_rvsum_1(k5_numpoly1(3,k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_newton(k1_numpoly1(A),2) = k18_rvsum_1(k5_numpoly1(3,A)) ) )).
fof(s2_nat_1__e3_88__zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ( ( ! [B] : ( ( v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) ) => ! [C] : ( ( v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ! [D] : ( m1_zmodul03(D,B) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,D) & k7_zmodul01(A,k7_zmodul01(A,B,C),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),E))) = k3_zmodul01(A) ) ) & k1_zmodul03(B) = k5_numbers ) => k1_zmodul03(k6_zmodul01(A,B,C)) = k1_zmodul03(C) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_zmodul03(G) & v2_zmodul03(G) & m1_zmodul01(G,A) ) => ! [H] : ( ( v1_zmodul03(H) & v2_zmodul03(H) & m1_zmodul01(H,A) ) => ! [I] : ( m1_zmodul03(I,G) => ( ( ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_tarski(J,I) & k7_zmodul01(A,k7_zmodul01(A,G,H),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),J))) = k3_zmodul01(A) ) ) & k1_zmodul03(G) = F ) => k1_zmodul03(k6_zmodul01(A,G,H)) = k1_zmodul03(H) ) ) ) ) => ! [K] : ( ( v1_zmodul03(K) & v2_zmodul03(K) & m1_zmodul01(K,A) ) => ! [L] : ( ( v1_zmodul03(L) & v2_zmodul03(L) & m1_zmodul01(L,A) ) => ! [M] : ( m1_zmodul03(M,K) => ( ( ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( r2_tarski(N,M) & k7_zmodul01(A,k7_zmodul01(A,K,L),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),N))) = k3_zmodul01(A) ) ) & k1_zmodul03(K) = k1_nat_1(F,1) ) => k1_zmodul03(k6_zmodul01(A,K,L)) = k1_zmodul03(L) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v1_zmodul03(O) & v2_zmodul03(O) & m1_zmodul01(O,A) ) => ! [P] : ( ( v1_zmodul03(P) & v2_zmodul03(P) & m1_zmodul01(P,A) ) => ! [Q] : ( m1_zmodul03(Q,O) => ( ( ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ~ ( r2_tarski(R,Q) & k7_zmodul01(A,k7_zmodul01(A,O,P),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),R))) = k3_zmodul01(A) ) ) & k1_zmodul03(O) = F ) => k1_zmodul03(k6_zmodul01(A,O,P)) = k1_zmodul03(P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_89__abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_abcmiz_0(A)) => ( ( k5_numbers = k3_finseq_1(C) & r3_abcmiz_0(A,B,C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_abcmiz_0(A))) => ( D = k2_relset_1(u1_abcmiz_0(A),C) => k8_abcmiz_0(A,B,C) = k6_abcmiz_0(A,B,D) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m2_finseq_1(G,u1_abcmiz_0(A)) => ( ( E = k3_finseq_1(G) & r3_abcmiz_0(A,F,G) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_abcmiz_0(A))) => ( H = k2_relset_1(u1_abcmiz_0(A),G) => k8_abcmiz_0(A,F,G) = k6_abcmiz_0(A,F,H) ) ) ) ) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_abcmiz_0(A)) => ( ( k1_nat_1(E,1) = k3_finseq_1(J) & r3_abcmiz_0(A,I,J) ) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_abcmiz_0(A))) => ( K = k2_relset_1(u1_abcmiz_0(A),J) => k8_abcmiz_0(A,I,J) = k6_abcmiz_0(A,I,K) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_abcmiz_0(A)) => ( ( E = k3_finseq_1(M) & r3_abcmiz_0(A,L,M) ) => ! [N] : ( m1_subset_1(N,k1_zfmisc_1(u1_abcmiz_0(A))) => ( N = k2_relset_1(u1_abcmiz_0(A),M) => k8_abcmiz_0(A,L,M) = k6_abcmiz_0(A,L,N) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_89__clvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(C,k11_csspace(A,k8_nat_1(u1_struct_0(A),B,D))) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( v1_xreal_0(F) & ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,E) & r1_xxreal_0(F,k11_csspace(A,k8_nat_1(u1_struct_0(A),B,G))) ) ) ) => ? [H] : ( v1_xreal_0(H) & ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(I,k1_nat_1(E,1)) & r1_xxreal_0(H,k11_csspace(A,k8_nat_1(u1_struct_0(A),B,I))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ? [J] : ( v1_xreal_0(J) & ~ r1_xxreal_0(J,k5_numbers) & ! [K] : ( v7_ordinal1(K) => ~ ( r1_xxreal_0(K,E) & r1_xxreal_0(J,k11_csspace(A,k8_nat_1(u1_struct_0(A),B,K))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_89__modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) & r5_modelc_3(A,B) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r1_xxreal_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(B,C),A)),k2_xcmplx_0(k6_xcmplx_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(B,1),A)),C),1)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k3_finseq_1(E),D) & r5_modelc_3(A,E) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(E)) ) => r1_xxreal_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(E,F),A)),k2_xcmplx_0(k6_xcmplx_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(E,1),A)),F),1)) ) ) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(G),k1_nat_1(D,1)) & r5_modelc_3(A,G) & r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(G)) ) => r1_xxreal_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(G,H),A)),k2_xcmplx_0(k6_xcmplx_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(G,1),A)),H),1)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(k3_finseq_1(I),D) & r5_modelc_3(A,I) & r1_xxreal_0(1,J) & r1_xxreal_0(J,k3_finseq_1(I)) ) => r1_xxreal_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(I,J),A)),k2_xcmplx_0(k6_xcmplx_0(k21_modelc_3(A,k10_modelc_3(k1_funct_1(I,1),A)),J),1)) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_8_1__fib_num,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => r1_xxreal_0(k1_pre_ff(A),k1_pre_ff(k2_xcmplx_0(A,k5_numbers))) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_xxreal_0(k1_pre_ff(C),k1_pre_ff(k2_xcmplx_0(C,B))) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_xxreal_0(k1_pre_ff(D),k1_pre_ff(k2_xcmplx_0(D,k1_nat_1(B,1)))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => r1_xxreal_0(k1_pre_ff(E),k1_pre_ff(k2_xcmplx_0(E,B))) ) ) )).
fof(s2_nat_1__e3_8_1__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( r1_tarski(k8_nat_1(B,D,k5_numbers),k8_nat_1(B,C,k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( r1_tarski(k8_nat_1(B,D,E),k8_nat_1(B,C,E)) => r1_tarski(k8_nat_1(B,D,k1_nat_1(E,1)),k8_nat_1(B,C,k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_tarski(k8_nat_1(B,D,E),k8_nat_1(B,C,E)) ) ) ) )).
fof(s2_nat_1__e3_8_2__csspace3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,A),k5_numbers) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,A),B) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) => k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,A),k1_nat_1(B,1)) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,A),B) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) ) ) ) )).
fof(s2_nat_1__e3_8_2__rsspace3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,A),k5_numbers) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,A),B) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B) => k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,A),k1_nat_1(B,1)) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,A),B) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B) ) ) ) )).
fof(s2_nat_1__e3_8__ballot_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( ( k3_finseq_1(B) = k5_numbers & r1_tarski(k1_rvsum_1(B),k2_tarski(k5_numbers,A)) ) => k16_rvsum_1(B) = k3_xcmplx_0(A,k4_card_1(k8_relat_1(B,k1_tarski(A)))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) & v1_finseq_1(D) ) => ( ( k3_finseq_1(D) = C & r1_tarski(k1_rvsum_1(D),k2_tarski(k5_numbers,A)) ) => k16_rvsum_1(D) = k3_xcmplx_0(A,k4_card_1(k8_relat_1(D,k1_tarski(A)))) ) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v3_valued_0(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(E) = k1_nat_1(C,1) & r1_tarski(k1_rvsum_1(E),k2_tarski(k5_numbers,A)) ) => k16_rvsum_1(E) = k3_xcmplx_0(A,k4_card_1(k8_relat_1(E,k1_tarski(A)))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v3_valued_0(F) & v1_finseq_1(F) ) => ( ( k3_finseq_1(F) = C & r1_tarski(k1_rvsum_1(F),k2_tarski(k5_numbers,A)) ) => k16_rvsum_1(F) = k3_xcmplx_0(A,k4_card_1(k8_relat_1(F,k1_tarski(A)))) ) ) ) ) ) )).
fof(s2_nat_1__e3_8__bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ( k2_bcialg_6(A,k4_struct_0(A),k5_numbers) = k4_struct_0(A) & ! [B] : ( v7_ordinal1(B) => ( k2_bcialg_6(A,k4_struct_0(A),B) = k4_struct_0(A) => k2_bcialg_6(A,k4_struct_0(A),k1_nat_1(B,1)) = k4_struct_0(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k2_bcialg_6(A,k4_struct_0(A),B) = k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e3_8__calcul_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( r2_wellord2(k2_calcul_2(A,k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( r2_wellord2(k2_calcul_2(A,B),B) => r2_wellord2(k2_calcul_2(A,k1_nat_1(B,1)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_wellord2(k2_calcul_2(A,B),B) ) ) ) )).
fof(s2_nat_1__e3_8__euler_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( k3_int_2(k2_xcmplx_0(A,k3_xcmplx_0(B,k5_numbers)),B) = k3_int_2(A,B) & ! [C] : ( v7_ordinal1(C) => ( k3_int_2(k2_xcmplx_0(A,k3_xcmplx_0(B,C)),B) = k3_int_2(A,B) => k3_int_2(k2_xcmplx_0(A,k3_xcmplx_0(B,k1_nat_1(C,1))),B) = k3_int_2(A,B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_int_2(k2_xcmplx_0(A,k3_xcmplx_0(B,C)),B) = k3_int_2(A,B) ) ) ) )).
fof(s2_nat_1__e3_8__taylor_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k22_sin_cos,A),k5_numbers) = k2_partfun1(k1_numbers,k1_numbers,k22_sin_cos,A) & ! [B] : ( v7_ordinal1(B) => ( k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k22_sin_cos,A),B) = k2_partfun1(k1_numbers,k1_numbers,k22_sin_cos,A) => k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k22_sin_cos,A),k1_nat_1(B,1)) = k2_partfun1(k1_numbers,k1_numbers,k22_sin_cos,A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k22_sin_cos,A),B) = k2_partfun1(k1_numbers,k1_numbers,k22_sin_cos,A) ) ) ) )).
fof(s2_nat_1__e3_8__vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k1_algseq_1(A,C) = k1_nat_1(k5_numbers,1) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_polynom4(A,C,D) = k12_matrix_3(k5_numbers,A,k5_matrlin2(k5_numbers,k5_numbers,A,B,k2_matrix13(k5_numbers,k5_numbers,A,k3_matrix_1(A,k5_numbers),D))) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),E,E) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k1_algseq_1(A,G) = k1_nat_1(E,1) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_polynom4(A,G,H) = k12_matrix_3(E,A,k5_matrlin2(E,E,A,F,k2_matrix13(E,E,A,k3_matrix_1(A,E),H))) ) ) ) => ! [I] : ( ( v1_matrix_0(I) & v2_matrix_0(I,u1_struct_0(A),k1_nat_1(E,1),k1_nat_1(E,1)) & m2_finseq_1(I,k3_finseq_2(u1_struct_0(A))) ) => ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(J,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k1_algseq_1(A,J) = k1_nat_1(k1_nat_1(E,1),1) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => k2_polynom4(A,J,K) = k12_matrix_3(k1_nat_1(E,1),A,k5_matrlin2(k1_nat_1(E,1),k1_nat_1(E,1),A,I,k2_matrix13(k1_nat_1(E,1),k1_nat_1(E,1),A,k3_matrix_1(A,k1_nat_1(E,1)),K))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_matrix_0(L) & v2_matrix_0(L,u1_struct_0(A),E,E) & m2_finseq_1(L,k3_finseq_2(u1_struct_0(A))) ) => ? [M] : ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(M,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k1_algseq_1(A,M) = k1_nat_1(E,1) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => k2_polynom4(A,M,N) = k12_matrix_3(E,A,k5_matrlin2(E,E,A,L,k2_matrix13(E,E,A,k3_matrix_1(A,E),N))) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_90_1_2_4__comput_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) & v7_ordinal1(B) ) => ( ( r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,C))) => r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e3_90_1_2_7__comput_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) & v7_ordinal1(B) ) => ( ( r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,C))) => r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k8_nat_1(k2_comput_1(k4_ordinal1),A,B),k8_nat_1(k2_comput_1(k4_ordinal1),A,k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e3_90__card_2,axiom,( ( r1_ordinal1(k2_card_2(k4_ordinal1,k4_card_1(k5_numbers)),k4_ordinal1) & ! [A] : ( v7_ordinal1(A) => ( r1_ordinal1(k2_card_2(k4_ordinal1,k4_card_1(A)),k4_ordinal1) => r1_ordinal1(k2_card_2(k4_ordinal1,k4_card_1(k1_nat_1(A,1))),k4_ordinal1) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_ordinal1(k2_card_2(k4_ordinal1,k4_card_1(A)),k4_ordinal1) ) )).
fof(s2_nat_1__e3_93__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & l3_msualg_1(C,A) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) ) => ( ( ! [E] : ( m1_trees_1(E,k9_xtuple_0(D)) => ( k3_finseq_1(E) = k5_numbers => m1_subset_1(k5_trees_2(D,E),k3_card_3(u3_msualg_1(A,C))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_trees_1(G,k9_xtuple_0(D)) => ( k3_finseq_1(G) = F => m1_subset_1(k5_trees_2(D,G),k3_card_3(u3_msualg_1(A,C))) ) ) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(D)) => ( k3_finseq_1(H) = k1_nat_1(F,1) => m1_subset_1(k5_trees_2(D,H),k3_card_3(u3_msualg_1(A,C))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m1_trees_1(I,k9_xtuple_0(D)) => ( k3_finseq_1(I) = F => m1_subset_1(k5_trees_2(D,I),k3_card_3(u3_msualg_1(A,C))) ) ) ) ) ) )).
fof(s2_nat_1__e3_94__matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( k3_finseq_1(B) = k5_numbers => k20_matrixj1(u1_struct_0(A),k4_struct_0(A),k23_matrixj1(A,B)) = k3_matrix_1(A,k1_wsierp_1(B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( k3_finseq_1(D) = C => k20_matrixj1(u1_struct_0(A),k4_struct_0(A),k23_matrixj1(A,D)) = k3_matrix_1(A,k1_wsierp_1(D)) ) ) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( k3_finseq_1(E) = k1_nat_1(C,1) => k20_matrixj1(u1_struct_0(A),k4_struct_0(A),k23_matrixj1(A,E)) = k3_matrix_1(A,k1_wsierp_1(E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( k3_finseq_1(F) = C => k20_matrixj1(u1_struct_0(A),k4_struct_0(A),k23_matrixj1(A,F)) = k3_matrix_1(A,k1_wsierp_1(F)) ) ) ) ) ) )).
fof(s2_nat_1__e3_95__afinsq_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_valued_0(B) & v1_finset_1(B) ) => ( k1_afinsq_1(B) = k5_numbers => k3_xcmplx_0(A,k7_afinsq_2(B)) = k7_afinsq_2(k24_valued_1(B,A)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_valued_0(D) & v1_finset_1(D) ) => ( k1_afinsq_1(D) = C => k3_xcmplx_0(A,k7_afinsq_2(D)) = k7_afinsq_2(k24_valued_1(D,A)) ) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & v1_valued_0(E) & v1_finset_1(E) ) => ( k1_afinsq_1(E) = k1_nat_1(C,1) => k3_xcmplx_0(A,k7_afinsq_2(E)) = k7_afinsq_2(k24_valued_1(E,A)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v5_ordinal1(F) & v1_valued_0(F) & v1_finset_1(F) ) => ( k1_afinsq_1(F) = C => k3_xcmplx_0(A,k7_afinsq_2(F)) = k7_afinsq_2(k24_valued_1(F,A)) ) ) ) ) ) )).
fof(s2_nat_1__e3_95__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m2_subset_1(C,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B)) ) => ( ( k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(B),k35_fomodel1(B)),k7_fomodel2(B,k35_fomodel1(B),C,k7_fomodel3(B,A)),k1_nat_1(k5_numbers,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k5_numbers)) = k3_fomodel2(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(B),k35_fomodel1(B)),k7_fomodel2(B,k35_fomodel1(B),C,k7_fomodel3(B,A)),k1_nat_1(D,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),D)) = k3_fomodel2(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),D)) => k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(B),k35_fomodel1(B)),k7_fomodel2(B,k35_fomodel1(B),C,k7_fomodel3(B,A)),k1_nat_1(k1_nat_1(D,1),1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k1_nat_1(D,1))) = k3_fomodel2(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(B),k35_fomodel1(B)),k7_fomodel2(B,k35_fomodel1(B),C,k7_fomodel3(B,A)),k1_nat_1(D,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),D)) = k3_fomodel2(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),D)) ) ) ) )).
fof(s2_nat_1__e3_98_1_1__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m2_finseq_1(F,A) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k1_nat_1(k3_finseq_1(F),1)) ) => k1_funct_1(E,k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),F),k5_numbers)) = k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),F),k5_numbers) ) & ! [G] : ( v7_ordinal1(G) => ( ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(k3_finseq_1(F),1)) ) => k1_funct_1(E,k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),F),G)) = k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),F),G) ) => ( ( r1_xxreal_0(1,k1_nat_1(G,1)) & r1_xxreal_0(k1_nat_1(G,1),k1_nat_1(k3_finseq_1(F),1)) ) => k1_funct_1(E,k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),F),k1_nat_1(G,1))) = k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),F),k1_nat_1(G,1)) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(k3_finseq_1(F),1)) ) => k1_funct_1(E,k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),F),G)) = k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),F),G) ) ) ) ) )).
fof(s2_nat_1__e3_98_3__comput_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( k8_nat_1(k2_comput_1(k4_ordinal1),B,k5_numbers) = k8_nat_1(k2_comput_1(k4_ordinal1),A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k2_comput_1(k4_ordinal1),B,C) = k8_nat_1(k2_comput_1(k4_ordinal1),A,C) => k8_nat_1(k2_comput_1(k4_ordinal1),B,k1_nat_1(C,1)) = k8_nat_1(k2_comput_1(k4_ordinal1),A,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_comput_1(k4_ordinal1),B,C) = k8_nat_1(k2_comput_1(k4_ordinal1),A,C) ) ) ) )).
fof(s2_nat_1__e3_98__newton,axiom,( ( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k1_newton(A,k5_numbers),k5_numbers) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(k1_newton(C,B),k5_numbers) ) ) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(k1_newton(D,k1_nat_1(B,1)),k5_numbers) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & r1_xxreal_0(k1_newton(E,B),k5_numbers) ) ) ) )).
fof(s2_nat_1__e3_98__zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ( ( ! [B] : ( ( v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) ) => ! [C] : ( ( v1_zmodul03(C) & v2_zmodul03(C) & m1_zmodul01(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_zmodul03(k7_zmodul01(A,B,C)) = k1_zmodul03(B) & k7_zmodul01(A,k6_zmodul01(A,B,C),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),D))) != k3_zmodul01(A) & k1_zmodul03(B) = k5_numbers & k7_zmodul01(A,C,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),D))) = k3_zmodul01(A) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_zmodul03(F) & v2_zmodul03(F) & m1_zmodul01(F,A) ) => ! [G] : ( ( v1_zmodul03(G) & v2_zmodul03(G) & m1_zmodul01(G,A) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( k1_zmodul03(k7_zmodul01(A,F,G)) = k1_zmodul03(F) & k7_zmodul01(A,k6_zmodul01(A,F,G),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),H))) != k3_zmodul01(A) & k1_zmodul03(F) = E & k7_zmodul01(A,G,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),H))) = k3_zmodul01(A) ) ) ) ) => ! [I] : ( ( v1_zmodul03(I) & v2_zmodul03(I) & m1_zmodul01(I,A) ) => ! [J] : ( ( v1_zmodul03(J) & v2_zmodul03(J) & m1_zmodul01(J,A) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ~ ( k1_zmodul03(k7_zmodul01(A,I,J)) = k1_zmodul03(I) & k7_zmodul01(A,k6_zmodul01(A,I,J),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),K))) != k3_zmodul01(A) & k1_zmodul03(I) = k1_nat_1(E,1) & k7_zmodul01(A,J,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),K))) = k3_zmodul01(A) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_zmodul03(L) & v2_zmodul03(L) & m1_zmodul01(L,A) ) => ! [M] : ( ( v1_zmodul03(M) & v2_zmodul03(M) & m1_zmodul01(M,A) ) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( k1_zmodul03(k7_zmodul01(A,L,M)) = k1_zmodul03(L) & k7_zmodul01(A,k6_zmodul01(A,L,M),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),N))) != k3_zmodul01(A) & k1_zmodul03(L) = E & k7_zmodul01(A,M,k33_zmodul02(A,k6_domain_1(u1_struct_0(A),N))) = k3_zmodul01(A) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_99_2__comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_margrel1(A) & m2_finseq_2(B,k4_ordinal1,k4_finseq_2(k1_nat_1(k18_margrel1(A),1),k4_ordinal1)) & m1_subset_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k1_funct_7(B,C,E),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,k5_numbers))) => r1_xxreal_0(E,k5_numbers) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(k1_funct_7(B,C,G),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,F))) => r1_xxreal_0(G,F) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(k1_funct_7(B,C,H),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,k1_nat_1(F,1)))) => r1_xxreal_0(H,k1_nat_1(F,1)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(k1_funct_7(B,C,I),k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,F))) => r1_xxreal_0(I,F) ) ) ) ) ) )).
fof(s2_nat_1__e3_99__modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) & v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ( ( ( ( r5_modelc_2(A,B,C,k5_numbers) & r5_modelc_2(A,B,D,k5_numbers) ) => ! [E] : ( ( v1_modelc_2(E) & m2_finseq_1(E,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(E),k5_numbers) => k1_funct_1(C,E) = k1_funct_1(D,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r5_modelc_2(A,B,C,F) & r5_modelc_2(A,B,D,F) ) => ! [G] : ( ( v1_modelc_2(G) & m2_finseq_1(G,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(G),F) => k1_funct_1(C,G) = k1_funct_1(D,G) ) ) ) => ( ( r5_modelc_2(A,B,C,k1_nat_1(F,1)) & r5_modelc_2(A,B,D,k1_nat_1(F,1)) ) => ! [H] : ( ( v1_modelc_2(H) & m2_finseq_1(H,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(H),k1_nat_1(F,1)) => k1_funct_1(C,H) = k1_funct_1(D,H) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r5_modelc_2(A,B,C,F) & r5_modelc_2(A,B,D,F) ) => ! [I] : ( ( v1_modelc_2(I) & m2_finseq_1(I,k4_ordinal1) ) => ( r1_xxreal_0(k3_finseq_1(I),F) => k1_funct_1(C,I) = k1_funct_1(D,I) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_9_1_1__prob_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v7_ordinal1(C) ) => ( ( r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,k5_numbers)),k1_prob_2(A,k9_setfam_1(A),B,C)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,D)),k1_prob_2(A,k9_setfam_1(A),B,C)) => r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,k1_nat_1(D,1))),k1_prob_2(A,k9_setfam_1(A),B,C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k1_prob_2(A,k9_setfam_1(A),B,k2_xcmplx_0(C,D)),k1_prob_2(A,k9_setfam_1(A),B,C)) ) ) ) )).
fof(s2_nat_1__e3_9_1__fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_fintopo4(A))) => ( ( C = D & r2_tarski(B,k2_finseq_1(A)) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(C,B)),k1_nat_1(k5_numbers,1)) ) => r2_tarski(B,k10_fintopo3(k2_fintopo4(A),k5_numbers,D)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_fintopo4(A))) => ( ( G = H & r2_tarski(F,k2_finseq_1(A)) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(G,F)),k1_nat_1(E,1)) ) => r2_tarski(F,k10_fintopo3(k2_fintopo4(A),E,H)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( m1_subset_1(K,u1_struct_0(k2_fintopo4(A))) => ( ( J = K & r2_tarski(I,k2_finseq_1(A)) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(J,I)),k1_nat_1(k1_nat_1(E,1),1)) ) => r2_tarski(I,k10_fintopo3(k2_fintopo4(A),k1_nat_1(E,1),K)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( m1_subset_1(N,u1_struct_0(k2_fintopo4(A))) => ( ( M = N & r2_tarski(L,k2_finseq_1(A)) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(M,L)),k1_nat_1(E,1)) ) => r2_tarski(L,k10_fintopo3(k2_fintopo4(A),E,N)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_9_2__fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_fintopo4(A))) => ( ( C = D & r2_tarski(B,k10_fintopo3(k2_fintopo4(A),k5_numbers,D)) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(C,B)),k1_nat_1(k5_numbers,1)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_fintopo4(A))) => ( ( G = H & r2_tarski(F,k10_fintopo3(k2_fintopo4(A),E,H)) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(G,F)),k1_nat_1(E,1)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( m1_subset_1(K,u1_struct_0(k2_fintopo4(A))) => ( ( J = K & r2_tarski(I,k10_fintopo3(k2_fintopo4(A),k1_nat_1(E,1),K)) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(J,I)),k1_nat_1(k1_nat_1(E,1),1)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( m1_subset_1(N,u1_struct_0(k2_fintopo4(A))) => ( ( M = N & r2_tarski(L,k10_fintopo3(k2_fintopo4(A),E,N)) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(M,L)),k1_nat_1(E,1)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e3_9__poset_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v5_orders_3(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r3_orders_2(A,C,D) & E = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),C) & F = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),D) ) => r3_orders_2(A,E,F) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r3_orders_2(A,H,I) & J = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,G),H) & K = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,G),I) ) => r3_orders_2(A,J,K) ) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ( ( r3_orders_2(A,L,M) & N = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(G,1)),L) & O = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(G,1)),M) ) => r3_orders_2(A,N,O) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ! [S] : ( m1_subset_1(S,u1_struct_0(A)) => ( ( r3_orders_2(A,P,Q) & R = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,G),P) & S = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,G),Q) ) => r3_orders_2(A,R,S) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e40_159__aofa_a01,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k8_afinsq_1(k4_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(k4_numbers)))) ) => ( ( k8_nat_1(k8_afinsq_1(k4_numbers),A,k5_numbers) != k1_xboole_0 & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k8_afinsq_1(k4_numbers),A,B) != k1_xboole_0 => k8_nat_1(k8_afinsq_1(k4_numbers),A,k1_nat_1(B,1)) != k1_xboole_0 ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k8_afinsq_1(k4_numbers),A,B) != k1_xboole_0 ) ) ) )).
fof(s2_nat_1__e41_9_1_1_1_2__gobrd10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(C)) & v1_matrix_0(E) & v2_matrix_0(E,k1_zfmisc_1(C),A,B) & m2_finseq_1(E,k3_finseq_2(k1_zfmisc_1(C))) & m2_finseq_1(F,k4_ordinal1) & m2_finseq_1(G,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),k3_finseq_1(F)) => r1_tarski(k3_matrix_0(k1_zfmisc_1(C),E,k7_partfun1(k4_ordinal1,F,k1_nat_1(k5_numbers,1)),k7_partfun1(k4_ordinal1,G,k1_nat_1(k5_numbers,1))),D) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(F)) => r1_tarski(k3_matrix_0(k1_zfmisc_1(C),E,k7_partfun1(k4_ordinal1,F,k1_nat_1(H,1)),k7_partfun1(k4_ordinal1,G,k1_nat_1(H,1))),D) ) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(H,1),1),k3_finseq_1(F)) => r1_tarski(k3_matrix_0(k1_zfmisc_1(C),E,k7_partfun1(k4_ordinal1,F,k1_nat_1(k1_nat_1(H,1),1)),k7_partfun1(k4_ordinal1,G,k1_nat_1(k1_nat_1(H,1),1))),D) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(F)) => r1_tarski(k3_matrix_0(k1_zfmisc_1(C),E,k7_partfun1(k4_ordinal1,F,k1_nat_1(H,1)),k7_partfun1(k4_ordinal1,G,k1_nat_1(H,1))),D) ) ) ) ) )).
fof(s2_nat_1__e42_27__scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( ( ( ~ r1_xxreal_0(k2_scmfsa8a(B,A,k1_scmfsa6a(C)),k5_numbers) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)),k2_afinsq_1(C)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k2_scmfsa8a(B,A,k1_scmfsa6a(C)),D) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)),k2_afinsq_1(C)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) ) ) => ( ~ r1_xxreal_0(k2_scmfsa8a(B,A,k1_scmfsa6a(C)),k1_nat_1(D,1)) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(D,1))),k2_afinsq_1(C)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(D,1))) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(D,1))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(D,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(D,1))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k2_scmfsa8a(B,A,k1_scmfsa6a(C)),D) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)),k2_afinsq_1(C)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,k4_compos_1(k1_scmfsa_2))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),D)) ) ) ) ) ) )).
fof(s2_nat_1__e42_31__matrtop2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) & v1_rlaffin1(D,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m2_finseq_1(E,u1_struct_0(k15_euclid(B))) & m2_rlvect_2(F,k15_euclid(B),k2_ranknull(k15_euclid(A),k15_euclid(B),k3_matrtop1(A,B,C),D)) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k15_euclid(B))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(B))))) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(k5_rlvect_2(k15_euclid(B),E,F))) => k8_nat_1(u1_struct_0(k15_euclid(B)),G,k5_numbers) = k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C),k8_nat_1(u1_struct_0(k15_euclid(A)),H,k5_numbers)) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(I,k3_finseq_1(k5_rlvect_2(k15_euclid(B),E,F))) => k8_nat_1(u1_struct_0(k15_euclid(B)),G,I) = k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C),k8_nat_1(u1_struct_0(k15_euclid(A)),H,I)) ) => ( r1_xxreal_0(k1_nat_1(I,1),k3_finseq_1(k5_rlvect_2(k15_euclid(B),E,F))) => k8_nat_1(u1_struct_0(k15_euclid(B)),G,k1_nat_1(I,1)) = k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C),k8_nat_1(u1_struct_0(k15_euclid(A)),H,k1_nat_1(I,1))) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k3_finseq_1(k5_rlvect_2(k15_euclid(B),E,F))) => k8_nat_1(u1_struct_0(k15_euclid(B)),G,I) = k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C),k8_nat_1(u1_struct_0(k15_euclid(A)),H,I)) ) ) ) ) )).
fof(s2_nat_1__e43_1_1_4_1_2_1_1_2_22_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k5_numbers),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) => r1_xxreal_0(B,D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,F))) ) => r1_xxreal_0(B,F) ) ) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(C)) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(E,1)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,G))) ) => r1_xxreal_0(B,G) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,H))) ) => r1_xxreal_0(B,H) ) ) ) ) ) ) )).
fof(s2_nat_1__e43_39__sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(E) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_nat_1(H,1)) => ( r1_xxreal_0(k5_numbers,k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(k5_numbers,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & ? [I] : ( m1_subset_1(I,k4_ordinal1) & I = k6_xcmplx_0(k1_nat_1(k5_numbers,G),1) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),B) = k8_graph_2(k18_scmfsa_2(A,E),G,I) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(J,k1_nat_1(H,1)) => ( r1_xxreal_0(J,k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(J,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & ? [K] : ( m1_subset_1(K,k4_ordinal1) & K = k6_xcmplx_0(k1_nat_1(J,G),1) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),B) = k8_graph_2(k18_scmfsa_2(A,E),G,K) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(J,1),k1_nat_1(H,1)) => ( r1_xxreal_0(k1_nat_1(J,1),k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(J,1)),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(J,1)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(k1_nat_1(J,1),k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(J,1)),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & ? [L] : ( m1_subset_1(L,k4_ordinal1) & L = k6_xcmplx_0(k1_nat_1(k1_nat_1(J,1),G),1) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(J,1)),B) = k8_graph_2(k18_scmfsa_2(A,E),G,L) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,k1_nat_1(H,1)) => ( r1_xxreal_0(J,k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(J,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & ? [M] : ( m1_subset_1(M,k4_ordinal1) & M = k6_xcmplx_0(k1_nat_1(J,G),1) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),J),B) = k8_graph_2(k18_scmfsa_2(A,E),G,M) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e43_47_2_1__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & m2_finseq_1(C,k4_ordinal1) & m2_finseq_1(D,k1_euclid(A)) ) => ( ( ( ( r1_xxreal_0(1,k1_nat_1(k5_numbers,1)) & r1_xxreal_0(k1_nat_1(k5_numbers,1),k3_finseq_1(k4_euclid_7(A,D))) ) => k1_funct_1(k4_euclid_7(A,B),k1_funct_1(C,k1_nat_1(k5_numbers,1))) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(k5_numbers,1)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k4_euclid_7(A,D))) ) => k1_funct_1(k4_euclid_7(A,B),k1_funct_1(C,k1_nat_1(E,1))) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(E,1)) ) => ( ( r1_xxreal_0(1,k1_nat_1(k1_nat_1(E,1),1)) & r1_xxreal_0(k1_nat_1(k1_nat_1(E,1),1),k3_finseq_1(k4_euclid_7(A,D))) ) => k1_funct_1(k4_euclid_7(A,B),k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1))) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(k1_nat_1(E,1),1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k4_euclid_7(A,D))) ) => k1_funct_1(k4_euclid_7(A,B),k1_funct_1(C,k1_nat_1(E,1))) = k1_funct_1(k4_euclid_7(A,D),k1_nat_1(E,1)) ) ) ) ) )).
fof(s2_nat_1__e44_159__aofa_a01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v5_relat_1(A,u1_struct_0(k12_aofa_a01)) & v1_funct_1(A) & v1_finset_1(A) & v1_exchsort(A) & v2_exchsort(A,k5_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k8_afinsq_1(k4_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(k4_numbers)))) ) => ( ( m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,C),A) => m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,C),A) ) ) ) )).
fof(s2_nat_1__e45_23_1_1_13__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k2_borsuk_1(A,A))) & m2_finseq_1(C,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) => ( E = k5_numbers | ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( ( F = k1_funct_1(C,E) & G = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,k5_numbers) ) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,F,B),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,G,B)) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(I,H) & r1_xxreal_0(H,k3_finseq_1(C)) ) => ( I = k5_numbers | ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( ( J = k1_funct_1(C,I) & K = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,H) ) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,J,B),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,K,B)) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ( ( r1_xxreal_0(L,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(C)) ) => ( L = k5_numbers | ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( ( M = k1_funct_1(C,L) & N = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,k1_nat_1(H,1)) ) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,M,B),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,N,B)) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( v7_ordinal1(O) => ( ( r1_xxreal_0(O,H) & r1_xxreal_0(H,k3_finseq_1(C)) ) => ( O = k5_numbers | ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( ( P = k1_funct_1(C,O) & Q = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,H) ) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,P,B),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,Q,B)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e45_43__mfold_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_relat_1(E) & v1_funct_1(E) & v7_ordinal1(F) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k4_card_1(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B))))) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( k1_card_1(G) = k5_numbers & r1_tarski(G,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B)))) & v2_connsp_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,G))),A) & m1_subset_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,G))),k1_zfmisc_1(u1_struct_0(A))) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(H,G) & I = k1_funct_1(C,k1_funct_1(E,H)) ) => r1_borsuk_3(k1_pre_topc(A,I),k2_brouwer(F,k4_struct_0(k15_euclid(F)),1)) ) ) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ~ ( r1_xxreal_0(J,k4_card_1(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B))))) & ! [K] : ( m1_subset_1(K,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( k1_card_1(K) = J & r1_tarski(K,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B)))) & v2_connsp_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,K))),A) & m1_subset_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,K))),k1_zfmisc_1(u1_struct_0(A))) & ! [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(L,K) & M = k1_funct_1(C,k1_funct_1(E,L)) ) => r1_borsuk_3(k1_pre_topc(A,M),k2_brouwer(F,k4_struct_0(k15_euclid(F)),1)) ) ) ) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(J,1),k4_card_1(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B))))) & ! [N] : ( m1_subset_1(N,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( k1_card_1(N) = k1_nat_1(J,1) & r1_tarski(N,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B)))) & v2_connsp_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,N))),A) & m1_subset_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,N))),k1_zfmisc_1(u1_struct_0(A))) & ! [O] : ( m1_subset_1(O,k1_zfmisc_1(u1_struct_0(A))) => ! [P] : ( m1_subset_1(P,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(O,N) & P = k1_funct_1(C,k1_funct_1(E,O)) ) => r1_borsuk_3(k1_pre_topc(A,P),k2_brouwer(F,k4_struct_0(k15_euclid(F)),1)) ) ) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(J,k4_card_1(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B))))) & ! [Q] : ( m1_subset_1(Q,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( k1_card_1(Q) = J & r1_tarski(Q,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k3_subset_1(u1_struct_0(A),B)))) & v2_connsp_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,Q))),A) & m1_subset_1(k5_setfam_1(u1_struct_0(A),k7_relset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),C,k7_relat_1(E,Q))),k1_zfmisc_1(u1_struct_0(A))) & ! [R] : ( m1_subset_1(R,k1_zfmisc_1(u1_struct_0(A))) => ! [S] : ( m1_subset_1(S,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(R,Q) & S = k1_funct_1(C,k1_funct_1(E,R)) ) => r1_borsuk_3(k1_pre_topc(A,S),k2_brouwer(F,k4_struct_0(k15_euclid(F)),1)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e47_91__polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k1_numbers) & m1_subset_1(B,u1_struct_0(k1_complfld)) & m2_finseq_1(C,u1_struct_0(k1_complfld)) ) => ( ( r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),k5_numbers,k17_finseq_1(u1_struct_0(k1_complfld),k7_nat_d(k3_finseq_1(A),1),C)))),k3_xcmplx_0(k18_rvsum_1(k17_finseq_1(k1_numbers,k5_numbers,k17_finseq_1(k1_numbers,k7_nat_d(k3_finseq_1(A),1),A))),k9_complex1(k9_nat_1(u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,k7_nat_d(k3_finseq_1(A),2))))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),D,k17_finseq_1(u1_struct_0(k1_complfld),k7_nat_d(k3_finseq_1(A),1),C)))),k3_xcmplx_0(k18_rvsum_1(k17_finseq_1(k1_numbers,D,k17_finseq_1(k1_numbers,k7_nat_d(k3_finseq_1(A),1),A))),k9_complex1(k9_nat_1(u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,k7_nat_d(k3_finseq_1(A),2))))) => r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),k1_nat_1(D,1),k17_finseq_1(u1_struct_0(k1_complfld),k7_nat_d(k3_finseq_1(A),1),C)))),k3_xcmplx_0(k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(D,1),k17_finseq_1(k1_numbers,k7_nat_d(k3_finseq_1(A),1),A))),k9_complex1(k9_nat_1(u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,k7_nat_d(k3_finseq_1(A),2))))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),D,k17_finseq_1(u1_struct_0(k1_complfld),k7_nat_d(k3_finseq_1(A),1),C)))),k3_xcmplx_0(k18_rvsum_1(k17_finseq_1(k1_numbers,D,k17_finseq_1(k1_numbers,k7_nat_d(k3_finseq_1(A),1),A))),k9_complex1(k9_nat_1(u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,k7_nat_d(k3_finseq_1(A),2))))) ) ) ) )).
fof(s2_nat_1__e48_47_2_1__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & m2_finseq_1(C,k4_ordinal1) & m2_finseq_1(D,k1_euclid(A)) ) => ( ( ( ( r1_xxreal_0(k1_funct_1(C,k3_finseq_1(C)),k1_nat_1(k5_numbers,1)) & r1_xxreal_0(k1_nat_1(k5_numbers,1),k3_finseq_1(B)) ) => k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k5_numbers,1)) = k1_funct_1(k4_euclid_7(A,D),k3_finseq_1(k4_euclid_7(A,D))) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(k1_funct_1(C,k3_finseq_1(C)),k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) ) => k1_funct_1(k4_euclid_7(A,B),k1_nat_1(E,1)) = k1_funct_1(k4_euclid_7(A,D),k3_finseq_1(k4_euclid_7(A,D))) ) => ( ( r1_xxreal_0(k1_funct_1(C,k3_finseq_1(C)),k1_nat_1(k1_nat_1(E,1),1)) & r1_xxreal_0(k1_nat_1(k1_nat_1(E,1),1),k3_finseq_1(B)) ) => k1_funct_1(k4_euclid_7(A,B),k1_nat_1(k1_nat_1(E,1),1)) = k1_funct_1(k4_euclid_7(A,D),k3_finseq_1(k4_euclid_7(A,D))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k1_funct_1(C,k3_finseq_1(C)),k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) ) => k1_funct_1(k4_euclid_7(A,B),k1_nat_1(E,1)) = k1_funct_1(k4_euclid_7(A,D),k3_finseq_1(k4_euclid_7(A,D))) ) ) ) ) )).
fof(s2_nat_1__e4_100__matrix13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => ~ ( C = k5_numbers & k1_laplace(A,k4_group_1(A),B,C) = k4_struct_0(A) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ~ ( E = D & k1_laplace(A,k4_group_1(A),B,E) = k4_struct_0(A) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( F = k1_nat_1(D,1) & k1_laplace(A,k4_group_1(A),B,F) = k4_struct_0(A) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ~ ( G = D & k1_laplace(A,k4_group_1(A),B,G) = k4_struct_0(A) ) ) ) ) ) )).
fof(s2_nat_1__e4_101__nat_3,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(A)),k2_finseq_1(k5_numbers)) => k8_nat_3(k8_newton,k13_nat_3(A)) = A ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(C)),k2_finseq_1(B)) => k8_nat_3(k8_newton,k13_nat_3(C)) = C ) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(D)),k2_finseq_1(k1_nat_1(B,1))) => k8_nat_3(k8_newton,k13_nat_3(D)) = D ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(E)),k2_finseq_1(B)) => k8_nat_3(k8_newton,k13_nat_3(E)) = E ) ) ) )).
fof(s2_nat_1__e4_101__pdiff_9,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) ) => ( ( ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r5_pdiff_9(A,C,k5_numbers,B) & r5_pdiff_9(A,D,k5_numbers,B) ) => r5_pdiff_9(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,C,D),k5_numbers,B) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r5_pdiff_9(A,F,E,B) & r5_pdiff_9(A,G,E,B) ) => r5_pdiff_9(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,F,G),E,B) ) ) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r5_pdiff_9(A,H,k1_nat_1(E,1),B) & r5_pdiff_9(A,I,k1_nat_1(E,1),B) ) => r5_pdiff_9(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,H,I),k1_nat_1(E,1),B) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [K] : ( ( v1_funct_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r5_pdiff_9(A,J,E,B) & r5_pdiff_9(A,K,E,B) ) => r5_pdiff_9(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,J,K),E,B) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_103__funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ( ( k8_funct_7(A,k1_nat_1(k5_numbers,1)) = k3_relat_1(k8_funct_7(A,k5_numbers),A) & ! [B] : ( v7_ordinal1(B) => ( k8_funct_7(A,k1_nat_1(B,1)) = k3_relat_1(k8_funct_7(A,B),A) => k8_funct_7(A,k1_nat_1(k1_nat_1(B,1),1)) = k3_relat_1(k8_funct_7(A,k1_nat_1(B,1)),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_funct_7(A,k1_nat_1(B,1)) = k3_relat_1(k8_funct_7(A,B),A) ) ) ) )).
fof(s2_nat_1__e4_104__funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ( ( r1_tarski(k9_xtuple_0(k8_funct_7(A,k5_numbers)),k1_relat_1(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k5_numbers)),k1_relat_1(A)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_tarski(k9_xtuple_0(k8_funct_7(A,B)),k1_relat_1(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,B)),k1_relat_1(A)) ) => ( r1_tarski(k9_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))),k1_relat_1(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))),k1_relat_1(A)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k9_xtuple_0(k8_funct_7(A,B)),k1_relat_1(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,B)),k1_relat_1(A)) ) ) ) ) )).
fof(s2_nat_1__e4_106_4__modelc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_2(A) & l1_modelc_2(A) & v1_funct_1(B) & v1_funct_2(B,k15_modelc_2,u1_modelc_2(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_modelc_2,u1_modelc_2(A)))) & v1_funct_1(C) & v1_funct_2(C,k9_modelc_2,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_modelc_2,u1_struct_0(A)))) ) => ( ( r5_modelc_2(A,B,C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( r5_modelc_2(A,B,C,D) => r5_modelc_2(A,B,C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r5_modelc_2(A,B,C,D) ) ) ) )).
fof(s2_nat_1__e4_109__funct_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) ) => ( ( k3_relat_1(k8_funct_7(B,k5_numbers),k8_funct_7(B,A)) = k8_funct_7(B,k2_xcmplx_0(A,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k3_relat_1(k8_funct_7(B,C),k8_funct_7(B,A)) = k8_funct_7(B,k2_xcmplx_0(A,C)) => k3_relat_1(k8_funct_7(B,k1_nat_1(C,1)),k8_funct_7(B,A)) = k8_funct_7(B,k2_xcmplx_0(A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_relat_1(k8_funct_7(B,C),k8_funct_7(B,A)) = k8_funct_7(B,k2_xcmplx_0(A,C)) ) ) ) )).
fof(s2_nat_1__e4_10_1_2_1_2__mesfunc3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => r1_xxreal_0(k12_supinf_2(B,k5_numbers),k1_supinf_2) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),C) => r1_xxreal_0(k12_supinf_2(B,C),k1_supinf_2) ) => ( ~ r1_xxreal_0(k3_finseq_1(A),k1_nat_1(C,1)) => r1_xxreal_0(k12_supinf_2(B,k1_nat_1(C,1)),k1_supinf_2) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(A),C) => r1_xxreal_0(k12_supinf_2(B,C),k1_supinf_2) ) ) ) ) )).
fof(s2_nat_1__e4_10_1_2_1_3__mesfunc3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(B,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),C) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(B,C)) ) => ( ~ r1_xxreal_0(k3_finseq_1(A),k1_nat_1(C,1)) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(A),C) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(B,C)) ) ) ) ) )).
fof(s2_nat_1__e4_10__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k2_bcialg_6(A,B,k4_xcmplx_0(k5_numbers)) = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),k4_xcmplx_0(k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k2_bcialg_6(A,B,k4_xcmplx_0(C)) = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),k4_xcmplx_0(C)) => k2_bcialg_6(A,B,k4_xcmplx_0(k1_nat_1(C,1))) = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),k4_xcmplx_0(k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,B,k4_xcmplx_0(C)) = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),k4_xcmplx_0(C)) ) ) ) )).
fof(s2_nat_1__e4_10__ckspace1,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) ) => ( ( ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r1_ckspace1(A,C,k5_numbers,B) & r1_ckspace1(A,D,k5_numbers,B) ) => r1_ckspace1(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,C,D),k5_numbers,B) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r1_ckspace1(A,F,E,B) & r1_ckspace1(A,G,E,B) ) => r1_ckspace1(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,F,G),E,B) ) ) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r1_ckspace1(A,H,k1_nat_1(E,1),B) & r1_ckspace1(A,I,k1_nat_1(E,1),B) ) => r1_ckspace1(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,H,I),k1_nat_1(E,1),B) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [K] : ( ( v1_funct_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r1_ckspace1(A,J,E,B) & r1_ckspace1(A,K,E,B) ) => r1_ckspace1(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,J,K),E,B) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_10__clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k8_nat_1(k1_numbers,k5_normsp_0(A,B),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,k5_normsp_0(A,B),C) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C) => k8_nat_1(k1_numbers,k5_normsp_0(A,B),k1_nat_1(C,1)) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k5_normsp_0(A,B),C) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C) ) ) ) )).
fof(s2_nat_1__e4_10__comseq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) & v1_xreal_0(D) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(E,k5_numbers),C) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(E,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(A),E)),k3_xcmplx_0(D,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k2_xcmplx_0(E,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(B),E)))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k2_xcmplx_0(E,F),C) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(E,F)),k8_nat_1(k1_numbers,k3_series_1(A),E)),k3_xcmplx_0(D,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k2_xcmplx_0(E,F)),k8_nat_1(k1_numbers,k3_series_1(B),E)))) ) => ( r1_xxreal_0(k2_xcmplx_0(E,k1_nat_1(F,1)),C) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(E,k1_nat_1(F,1))),k8_nat_1(k1_numbers,k3_series_1(A),E)),k3_xcmplx_0(D,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k2_xcmplx_0(E,k1_nat_1(F,1))),k8_nat_1(k1_numbers,k3_series_1(B),E)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k2_xcmplx_0(E,F),C) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(E,F)),k8_nat_1(k1_numbers,k3_series_1(A),E)),k3_xcmplx_0(D,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k2_xcmplx_0(E,F)),k8_nat_1(k1_numbers,k3_series_1(B),E)))) ) ) ) ) )).
fof(s2_nat_1__e4_10__lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k8_nat_1(k1_numbers,k5_normsp_0(A,B),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,k5_normsp_0(A,B),C) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C) => k8_nat_1(k1_numbers,k5_normsp_0(A,B),k1_nat_1(C,1)) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k5_normsp_0(A,B),C) = k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C) ) ) ) )).
fof(s2_nat_1__e4_10__measure7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => k12_supinf_2(k16_supinf_2(B),k5_numbers) = k1_supinf_2 ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(A,C) => k12_supinf_2(k16_supinf_2(B),C) = k1_supinf_2 ) => ( ~ r1_xxreal_0(A,k1_nat_1(C,1)) => k12_supinf_2(k16_supinf_2(B),k1_nat_1(C,1)) = k1_supinf_2 ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(A,C) => k12_supinf_2(k16_supinf_2(B),C) = k1_supinf_2 ) ) ) ) )).
fof(s2_nat_1__e4_10__rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ( ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xxreal_0(k4_card_1(B),k5_numbers) => k3_convex1(A,B) = k3_tarski(a_2_5_rlaffin2(A,B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xxreal_0(k4_card_1(D),C) => k3_convex1(A,D) = k3_tarski(a_2_5_rlaffin2(A,D)) ) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xxreal_0(k4_card_1(E),k1_nat_1(C,1)) => k3_convex1(A,E) = k3_tarski(a_2_5_rlaffin2(A,E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xxreal_0(k4_card_1(F),C) => k3_convex1(A,F) = k3_tarski(a_2_5_rlaffin2(A,F)) ) ) ) ) ) )).
fof(s2_nat_1__e4_10__topdim_2,axiom,( ( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ( v5_waybel23(A) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v2_tops_2(B,A) & m1_setfam_1(B,u1_struct_0(A)) & v4_card_3(B) & v2_topdim_1(B,A) & r1_xxreal_0(k3_topdim_1(A,B),k5_numbers) ) ) | ( v3_topdim_1(A) & r1_xxreal_0(k4_topdim_1(A),k5_numbers) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v2_pre_topc(D) & v3_pcomps_1(D) & l1_pre_topc(D) ) => ( v5_waybel23(D) => ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) => ~ ( v2_tops_2(E,D) & m1_setfam_1(E,u1_struct_0(D)) & v4_card_3(E) & v2_topdim_1(E,D) & r1_xxreal_0(k3_topdim_1(D,E),C) ) ) | ( v3_topdim_1(D) & r1_xxreal_0(k4_topdim_1(D),C) ) ) ) ) => ! [F] : ( ( v2_pre_topc(F) & v3_pcomps_1(F) & l1_pre_topc(F) ) => ( v5_waybel23(F) => ( ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(F)))) => ~ ( v2_tops_2(G,F) & m1_setfam_1(G,u1_struct_0(F)) & v4_card_3(G) & v2_topdim_1(G,F) & r1_xxreal_0(k3_topdim_1(F,G),k1_nat_1(C,1)) ) ) | ( v3_topdim_1(F) & r1_xxreal_0(k4_topdim_1(F),k1_nat_1(C,1)) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v2_pre_topc(H) & v3_pcomps_1(H) & l1_pre_topc(H) ) => ( v5_waybel23(H) => ( ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(H)))) => ~ ( v2_tops_2(I,H) & m1_setfam_1(I,u1_struct_0(H)) & v4_card_3(I) & v2_topdim_1(I,H) & r1_xxreal_0(k3_topdim_1(H,I),C) ) ) | ( v3_topdim_1(H) & r1_xxreal_0(k4_topdim_1(H),C) ) ) ) ) ) )).
fof(s2_nat_1__e4_113__funct_7,axiom,( ( k8_funct_7(k1_xboole_0,k5_numbers) = k1_xboole_0 & ! [A] : ( v7_ordinal1(A) => ( k8_funct_7(k1_xboole_0,A) = k1_xboole_0 => k8_funct_7(k1_xboole_0,k1_nat_1(A,1)) = k1_xboole_0 ) ) ) => ! [A] : ( v7_ordinal1(A) => k8_funct_7(k1_xboole_0,A) = k1_xboole_0 ) )).
fof(s2_nat_1__e4_113__rvsum_1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ( k3_finseq_1(A) = k5_numbers => ( ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k2_finseq_1(k5_numbers)) & k1_funct_1(A,B) = k5_numbers ) <=> k19_rvsum_1(A) = k5_numbers ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_valued_0(D) & v1_finseq_1(D) ) => ( k3_finseq_1(D) = C => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k2_finseq_1(C)) & k1_funct_1(D,E) = k5_numbers ) <=> k19_rvsum_1(D) = k5_numbers ) ) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_valued_0(F) & v1_finseq_1(F) ) => ( k3_finseq_1(F) = k1_nat_1(C,1) => ( ? [G] : ( v7_ordinal1(G) & r2_tarski(G,k2_finseq_1(k1_nat_1(C,1))) & k1_funct_1(F,G) = k5_numbers ) <=> k19_rvsum_1(F) = k5_numbers ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_valued_0(H) & v1_finseq_1(H) ) => ( k3_finseq_1(H) = C => ( ? [I] : ( v7_ordinal1(I) & r2_tarski(I,k2_finseq_1(C)) & k1_funct_1(H,I) = k5_numbers ) <=> k19_rvsum_1(H) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e4_114__funct_7,axiom,( ! [A] : ( ( k8_funct_7(k6_partfun1(A),k5_numbers) = k6_partfun1(A) & ! [B] : ( v7_ordinal1(B) => ( k8_funct_7(k6_partfun1(A),B) = k6_partfun1(A) => k8_funct_7(k6_partfun1(A),k1_nat_1(B,1)) = k6_partfun1(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_funct_7(k6_partfun1(A),B) = k6_partfun1(A) ) ) )).
fof(s2_nat_1__e4_114__ring_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k3_finseq_1(C) = k5_numbers & r2_gcd_1(A,B,D) & r4_gcd_1(A,D,E) & r1_ring_2(A,E,C) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(C)) => ~ r4_gcd_1(A,k1_ring_2(u1_struct_0(A),C,F),B) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( ~ v1_xboole_0(H) & m2_finseq_1(H,u1_struct_0(A)) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( k3_finseq_1(H) = G & r2_gcd_1(A,B,I) & r4_gcd_1(A,I,J) & r1_ring_2(A,J,H) & ! [K] : ( m2_subset_1(K,k4_ordinal1,k4_finseq_1(H)) => ~ r4_gcd_1(A,k1_ring_2(u1_struct_0(A),H,K),B) ) ) ) ) ) => ! [L] : ( ( ~ v1_xboole_0(L) & m2_finseq_1(L,u1_struct_0(A)) ) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( k3_finseq_1(L) = k1_nat_1(G,1) & r2_gcd_1(A,B,M) & r4_gcd_1(A,M,N) & r1_ring_2(A,N,L) & ! [O] : ( m2_subset_1(O,k4_ordinal1,k4_finseq_1(L)) => ~ r4_gcd_1(A,k1_ring_2(u1_struct_0(A),L,O),B) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( ( ~ v1_xboole_0(P) & m2_finseq_1(P,u1_struct_0(A)) ) => ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ~ ( k3_finseq_1(P) = G & r2_gcd_1(A,B,Q) & r4_gcd_1(A,Q,R) & r1_ring_2(A,R,P) & ! [S] : ( m2_subset_1(S,k4_ordinal1,k4_finseq_1(P)) => ~ r4_gcd_1(A,k1_ring_2(u1_struct_0(A),P,S),B) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_115__ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & m2_finseq_1(D,u1_struct_0(A)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m2_finseq_1(E,u1_struct_0(A)) ) => ( ( k3_finseq_1(D) = k5_numbers & r1_ring_2(A,B,D) & r1_ring_2(A,C,E) & r4_gcd_1(A,B,C) ) => ( k3_finseq_1(E) = k5_numbers & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(D),k4_finseq_1(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(D),k4_finseq_1(E)))) & v3_funct_2(F,k4_finseq_1(D),k4_finseq_1(E)) & ! [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(D)) => r4_gcd_1(A,k1_ring_2(u1_struct_0(A),E,k3_funct_2(k4_finseq_1(D),k4_finseq_1(E),F,G)),k1_ring_2(u1_struct_0(A),D,G)) ) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( ~ v1_xboole_0(K) & m2_finseq_1(K,u1_struct_0(A)) ) => ! [L] : ( ( ~ v1_xboole_0(L) & m2_finseq_1(L,u1_struct_0(A)) ) => ( ( k3_finseq_1(K) = H & r1_ring_2(A,I,K) & r1_ring_2(A,J,L) & r4_gcd_1(A,I,J) ) => ( k3_finseq_1(L) = H & ? [M] : ( v1_funct_1(M) & v1_funct_2(M,k4_finseq_1(K),k4_finseq_1(L)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(K),k4_finseq_1(L)))) & v3_funct_2(M,k4_finseq_1(K),k4_finseq_1(L)) & ! [N] : ( m2_subset_1(N,k4_ordinal1,k4_finseq_1(K)) => r4_gcd_1(A,k1_ring_2(u1_struct_0(A),L,k3_funct_2(k4_finseq_1(K),k4_finseq_1(L),M,N)),k1_ring_2(u1_struct_0(A),K,N)) ) ) ) ) ) ) ) ) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ! [Q] : ( ( ~ v1_xboole_0(Q) & m2_finseq_1(Q,u1_struct_0(A)) ) => ! [R] : ( ( ~ v1_xboole_0(R) & m2_finseq_1(R,u1_struct_0(A)) ) => ( ( k3_finseq_1(Q) = k1_nat_1(H,1) & r1_ring_2(A,O,Q) & r1_ring_2(A,P,R) & r4_gcd_1(A,O,P) ) => ( k3_finseq_1(R) = k1_nat_1(H,1) & ? [S] : ( v1_funct_1(S) & v1_funct_2(S,k4_finseq_1(Q),k4_finseq_1(R)) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(Q),k4_finseq_1(R)))) & v3_funct_2(S,k4_finseq_1(Q),k4_finseq_1(R)) & ! [T] : ( m2_subset_1(T,k4_ordinal1,k4_finseq_1(Q)) => r4_gcd_1(A,k1_ring_2(u1_struct_0(A),R,k3_funct_2(k4_finseq_1(Q),k4_finseq_1(R),S,T)),k1_ring_2(u1_struct_0(A),Q,T)) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [U] : ( m1_subset_1(U,u1_struct_0(A)) => ! [V] : ( m1_subset_1(V,u1_struct_0(A)) => ! [W] : ( ( ~ v1_xboole_0(W) & m2_finseq_1(W,u1_struct_0(A)) ) => ! [X] : ( ( ~ v1_xboole_0(X) & m2_finseq_1(X,u1_struct_0(A)) ) => ( ( k3_finseq_1(W) = H & r1_ring_2(A,U,W) & r1_ring_2(A,V,X) & r4_gcd_1(A,U,V) ) => ( k3_finseq_1(X) = H & ? [Y] : ( v1_funct_1(Y) & v1_funct_2(Y,k4_finseq_1(W),k4_finseq_1(X)) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(W),k4_finseq_1(X)))) & v3_funct_2(Y,k4_finseq_1(W),k4_finseq_1(X)) & ! [Z] : ( m2_subset_1(Z,k4_ordinal1,k4_finseq_1(W)) => r4_gcd_1(A,k1_ring_2(u1_struct_0(A),X,k3_funct_2(k4_finseq_1(W),k4_finseq_1(X),Y,Z)),k1_ring_2(u1_struct_0(A),W,Z)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_11_1__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_normsp_0(A,k1_bhsp_4(A,k3_lopban_3(A,C,B)),k5_numbers) = k1_normsp_0(A,k3_lopban_3(A,k1_bhsp_4(A,C),B),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_normsp_0(A,k1_bhsp_4(A,k3_lopban_3(A,C,B)),D) = k1_normsp_0(A,k3_lopban_3(A,k1_bhsp_4(A,C),B),D) => k1_normsp_0(A,k1_bhsp_4(A,k3_lopban_3(A,C,B)),k1_nat_1(D,1)) = k1_normsp_0(A,k3_lopban_3(A,k1_bhsp_4(A,C),B),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,k1_bhsp_4(A,k3_lopban_3(A,C,B)),D) = k1_normsp_0(A,k3_lopban_3(A,k1_bhsp_4(A,C),B),D) ) ) ) )).
fof(s2_nat_1__e4_11_1__goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & m2_goedcpuc(C,A,B) ) => ( ( ( ~ r1_xxreal_0(k1_nat_1(B,1),k5_numbers) => r2_hidden(D,k1_funct_1(C,k1_nat_1(k5_numbers,1))) ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(k1_nat_1(B,1),E) => r2_hidden(D,k1_funct_1(C,k1_nat_1(E,1))) ) => ( ~ r1_xxreal_0(k1_nat_1(B,1),k1_nat_1(E,1)) => r2_hidden(D,k1_funct_1(C,k1_nat_1(k1_nat_1(E,1),1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_nat_1(B,1),E) => r2_hidden(D,k1_funct_1(C,k1_nat_1(E,1))) ) ) ) ) )).
fof(s2_nat_1__e4_11_2_1__ordeq_01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),C) = C & ! [D] : ( v7_ordinal1(D) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = C => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(D,1)),C) = C ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = C ) ) ) )).
fof(s2_nat_1__e4_11_2__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_normsp_0(A,k1_bhsp_4(A,k2_lopban_3(A,C,B)),k5_numbers) = k1_normsp_0(A,k2_lopban_3(A,k1_bhsp_4(A,C),B),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_normsp_0(A,k1_bhsp_4(A,k2_lopban_3(A,C,B)),D) = k1_normsp_0(A,k2_lopban_3(A,k1_bhsp_4(A,C),B),D) => k1_normsp_0(A,k1_bhsp_4(A,k2_lopban_3(A,C,B)),k1_nat_1(D,1)) = k1_normsp_0(A,k2_lopban_3(A,k1_bhsp_4(A,C),B),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,k1_bhsp_4(A,k2_lopban_3(A,C,B)),D) = k1_normsp_0(A,k2_lopban_3(A,k1_bhsp_4(A,C),B),D) ) ) ) )).
fof(s2_nat_1__e4_11_7__topmetr3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(k1_nat_1(B,1),k5_numbers) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_nat_1(B,1),C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,C)) ) => ( r1_xxreal_0(k1_nat_1(B,1),k1_nat_1(C,1)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_nat_1(B,1),C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,C)) ) ) ) ) )).
fof(s2_nat_1__e4_11__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( F = k5_numbers & r1_xxreal_0(F,D) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,F),C,E) = k1_bcialg_2(A,B,C,k2_xcmplx_0(F,E)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ( ( H = G & r1_xxreal_0(H,D) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,H),C,E) = k1_bcialg_2(A,B,C,k2_xcmplx_0(H,E)) ) ) => ! [I] : ( v7_ordinal1(I) => ( ( I = k1_nat_1(G,1) & r1_xxreal_0(I,D) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,I),C,E) = k1_bcialg_2(A,B,C,k2_xcmplx_0(I,E)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( v7_ordinal1(J) => ( ( J = G & r1_xxreal_0(J,D) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,J),C,E) = k1_bcialg_2(A,B,C,k2_xcmplx_0(J,E)) ) ) ) ) ) )).
fof(s2_nat_1__e4_121__funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( k8_funct_7(A,k5_numbers) = k3_funct_7(k1_relat_1(A),k2_finseq_2(k5_numbers,A)) & ! [B] : ( v7_ordinal1(B) => ( k8_funct_7(A,B) = k3_funct_7(k1_relat_1(A),k2_finseq_2(B,A)) => k8_funct_7(A,k1_nat_1(B,1)) = k3_funct_7(k1_relat_1(A),k2_finseq_2(k1_nat_1(B,1),A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_funct_7(A,B) = k3_funct_7(k1_relat_1(A),k2_finseq_2(B,A)) ) ) ) )).
fof(s2_nat_1__e4_121__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ( ( r1_tarski(k13_msafree5(A,B,C,k5_numbers),k13_msafree5(A,B,k1_msafree3(A,B),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k13_msafree5(A,B,C,D),k13_msafree5(A,B,k1_msafree3(A,B),D)) => r1_tarski(k13_msafree5(A,B,C,k1_nat_1(D,1)),k13_msafree5(A,B,k1_msafree3(A,B),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k13_msafree5(A,B,C,D),k13_msafree5(A,B,k1_msafree3(A,B),D)) ) ) ) )).
fof(s2_nat_1__e4_129__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) & v4_fomodel1(D,B) & m1_subset_1(D,k1_fomodel1(B)) ) => ( ( ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( ( v4_fomodel2(G,B) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ( v3_fomodel2(G,B,k5_numbers) & v5_relat_1(G,k6_subset_1(k1_fomodel1(B),k6_domain_1(k1_fomodel1(B),D))) ) => k25_fomodel2(B,A,k34_fomodel2(B,A,E,C,F),G) = k25_fomodel2(B,A,k34_fomodel2(B,A,E,D,F),k24_fomodel3(B,C,D,G)) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m2_subset_1(I,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [J] : ( m1_subset_1(J,A) => ! [K] : ( ( v4_fomodel2(K,B) & m2_subset_1(K,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ( v3_fomodel2(K,B,H) & v5_relat_1(K,k6_subset_1(k1_fomodel1(B),k6_domain_1(k1_fomodel1(B),D))) ) => k25_fomodel2(B,A,k34_fomodel2(B,A,I,C,J),K) = k25_fomodel2(B,A,k34_fomodel2(B,A,I,D,J),k24_fomodel3(B,C,D,K)) ) ) ) ) => ! [L] : ( m2_subset_1(L,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [M] : ( m1_subset_1(M,A) => ! [N] : ( ( v4_fomodel2(N,B) & m2_subset_1(N,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ( v3_fomodel2(N,B,k1_nat_1(H,1)) & v5_relat_1(N,k6_subset_1(k1_fomodel1(B),k6_domain_1(k1_fomodel1(B),D))) ) => k25_fomodel2(B,A,k34_fomodel2(B,A,L,C,M),N) = k25_fomodel2(B,A,k34_fomodel2(B,A,L,D,M),k24_fomodel3(B,C,D,N)) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( m2_subset_1(O,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [P] : ( m1_subset_1(P,A) => ! [Q] : ( ( v4_fomodel2(Q,B) & m2_subset_1(Q,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ( v3_fomodel2(Q,B,H) & v5_relat_1(Q,k6_subset_1(k1_fomodel1(B),k6_domain_1(k1_fomodel1(B),D))) ) => k25_fomodel2(B,A,k34_fomodel2(B,A,O,C,P),Q) = k25_fomodel2(B,A,k34_fomodel2(B,A,O,D,P),k24_fomodel3(B,C,D,Q)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_12_1_1_8__scmfsa_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) & m1_subset_1(C,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers)) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,D)) = D ) => ( r1_xxreal_0(k1_nat_1(D,1),C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(D,1))) = k1_nat_1(D,1) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,D)) = D ) ) ) ) )).
fof(s2_nat_1__e4_12_1_1__prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m2_prob_1(D,A,B) ) => ( ( k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),k5_numbers) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),E) = k5_numbers => k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),k1_nat_1(E,1)) = k5_numbers ) ) ) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),E) = k5_numbers ) ) ) )).
fof(s2_nat_1__e4_12_1_2_8__scmfsa_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) & m1_subset_1(C,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers)) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,D)) = D ) => ( r1_xxreal_0(k1_nat_1(D,1),k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(D,1))) = k1_nat_1(D,1) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,D)) = D ) ) ) ) )).
fof(s2_nat_1__e4_12_1__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k3_lopban_3(A,C,B)),k5_numbers) = k8_nat_1(u1_struct_0(A),k3_lopban_3(A,k1_bhsp_4(A,C),B),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k3_lopban_3(A,C,B)),D) = k8_nat_1(u1_struct_0(A),k3_lopban_3(A,k1_bhsp_4(A,C),B),D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k3_lopban_3(A,C,B)),k1_nat_1(D,1)) = k8_nat_1(u1_struct_0(A),k3_lopban_3(A,k1_bhsp_4(A,C),B),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k3_lopban_3(A,C,B)),D) = k8_nat_1(u1_struct_0(A),k3_lopban_3(A,k1_bhsp_4(A,C),B),D) ) ) ) )).
fof(s2_nat_1__e4_12_2__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k2_lopban_3(A,C,B)),k5_numbers) = k8_nat_1(u1_struct_0(A),k2_lopban_3(A,k1_bhsp_4(A,C),B),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k2_lopban_3(A,C,B)),D) = k8_nat_1(u1_struct_0(A),k2_lopban_3(A,k1_bhsp_4(A,C),B),D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k2_lopban_3(A,C,B)),k1_nat_1(D,1)) = k8_nat_1(u1_struct_0(A),k2_lopban_3(A,k1_bhsp_4(A,C),B),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k2_lopban_3(A,C,B)),D) = k8_nat_1(u1_struct_0(A),k2_lopban_3(A,k1_bhsp_4(A,C),B),D) ) ) ) )).
fof(s2_nat_1__e4_12_7__topmetr3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(k1_nat_1(B,1),k5_numbers) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_nat_1(B,1),C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) => ( r1_xxreal_0(k1_nat_1(B,1),k1_nat_1(C,1)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(C,1)),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_nat_1(B,1),C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) ) )).
fof(s2_nat_1__e4_12__clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e4_12__clvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_3(k1_valued_0(u1_struct_0(A),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( v1_clvect_3(k1_valued_0(u1_struct_0(A),B,C),A) => v1_clvect_3(k1_valued_0(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_clvect_3(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) )).
fof(s2_nat_1__e4_12__nat_1,axiom,( ( ~ ( k5_numbers != k5_numbers & ! [A] : ( v7_ordinal1(A) => k5_numbers != k1_nat_1(A,1) ) ) & ! [B] : ( v7_ordinal1(B) => ( ~ ( B != k5_numbers & ! [C] : ( v7_ordinal1(C) => B != k1_nat_1(C,1) ) ) => ~ ( k1_nat_1(B,1) != k5_numbers & ! [D] : ( v7_ordinal1(D) => k1_nat_1(B,1) != k1_nat_1(D,1) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ ( B != k5_numbers & ! [E] : ( v7_ordinal1(E) => B != k1_nat_1(E,1) ) ) ) )).
fof(s2_nat_1__e4_135__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( ! [B] : ( ~ r2_tarski(B,k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k5_numbers)))) => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k4_ordinal1,k6_glib_000(A),k23_lexbfs(A,k26_lexbfs(A),k5_numbers)),B) = k4_card_1(k3_finsub_1(k1_zfmisc_1(k6_glib_000(A)),k2_chord(A,k1_tarski(B)),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k5_numbers))))) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ~ r2_tarski(D,k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),C)))) => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k4_ordinal1,k6_glib_000(A),k23_lexbfs(A,k26_lexbfs(A),C)),D) = k4_card_1(k3_finsub_1(k1_zfmisc_1(k6_glib_000(A)),k2_chord(A,k1_tarski(D)),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),C))))) ) => ! [E] : ( ~ r2_tarski(E,k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k1_nat_1(C,1))))) => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k4_ordinal1,k6_glib_000(A),k23_lexbfs(A,k26_lexbfs(A),k1_nat_1(C,1))),E) = k4_card_1(k3_finsub_1(k1_zfmisc_1(k6_glib_000(A)),k2_chord(A,k1_tarski(E)),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k1_nat_1(C,1)))))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( ~ r2_tarski(F,k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),C)))) => k1_recdef_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k4_ordinal1,k6_glib_000(A),k23_lexbfs(A,k26_lexbfs(A),C)),F) = k4_card_1(k3_finsub_1(k1_zfmisc_1(k6_glib_000(A)),k2_chord(A,k1_tarski(F)),k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),C))))) ) ) ) ) )).
fof(s2_nat_1__e4_136__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) & m2_subset_1(G,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) ) => ( ( k14_aofa_a00(A,B,C,D,F,k10_aofa_a01(A,B,C,F,k5_numbers),G) = k5_numbers & ! [H] : ( v7_ordinal1(H) => ( k14_aofa_a00(A,B,C,D,F,k10_aofa_a01(A,B,C,F,H),G) = H => k14_aofa_a00(A,B,C,D,F,k10_aofa_a01(A,B,C,F,k1_nat_1(H,1)),G) = k1_nat_1(H,1) ) ) ) => ! [H] : ( v7_ordinal1(H) => k14_aofa_a00(A,B,C,D,F,k10_aofa_a01(A,B,C,F,H),G) = H ) ) ) )).
fof(s2_nat_1__e4_138__simplex0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_simplex0(B,A) & m2_simplex0(C,A,B) & v1_relat_1(D) & v1_funct_1(D) ) => ( ( m2_simplex0(k12_simplex0(A,C,D,k5_numbers),A,k12_simplex0(A,B,D,k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( m2_simplex0(k12_simplex0(A,C,D,E),A,k12_simplex0(A,B,D,E)) => m2_simplex0(k12_simplex0(A,C,D,k1_nat_1(E,1)),A,k12_simplex0(A,B,D,k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => m2_simplex0(k12_simplex0(A,C,D,E),A,k12_simplex0(A,B,D,E)) ) ) ) )).
fof(s2_nat_1__e4_13__bhsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_4(k1_valued_0(u1_struct_0(A),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( v1_bhsp_4(k1_valued_0(u1_struct_0(A),B,C),A) => v1_bhsp_4(k1_valued_0(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_bhsp_4(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) )).
fof(s2_nat_1__e4_13__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k1_normsp_0(A,k1_bhsp_4(A,C),k5_numbers) = k1_normsp_0(A,k1_bhsp_4(A,D),k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => k1_normsp_0(A,k1_bhsp_4(A,C),E) = k1_normsp_0(A,k1_bhsp_4(A,D),E) ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => k1_normsp_0(A,k1_bhsp_4(A,C),k1_nat_1(E,1)) = k1_normsp_0(A,k1_bhsp_4(A,D),k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k1_normsp_0(A,k1_bhsp_4(A,C),E) = k1_normsp_0(A,k1_bhsp_4(A,D),E) ) ) ) ) )).
fof(s2_nat_1__e4_13__fib_fusc,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v5_memstr_0(E,k5_card_1(2),k1_ami_3,3) & m1_scm_1(E,k16_afinsq_1(1,k5_numbers,C,D)) ) => ( ( C = k1_pre_ff(B) & D = k1_pre_ff(k1_nat_1(B,1)) ) => ( r1_xxreal_0(k5_numbers,k5_numbers) | ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,E) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,E) = k6_xcmplx_0(k3_xcmplx_0(6,k5_numbers),4) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = k6_xcmplx_0(k2_xcmplx_0(B,k5_numbers),1) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,E),k10_ami_3(2)) = k1_pre_ff(F) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,E),k10_ami_3(3)) = k1_pre_ff(k1_nat_1(F,1)) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v5_memstr_0(K,k5_card_1(2),k1_ami_3,3) & m1_scm_1(K,k16_afinsq_1(1,G,I,J)) ) => ( ( I = k1_pre_ff(H) & J = k1_pre_ff(k1_nat_1(H,1)) ) => ( r1_xxreal_0(G,k5_numbers) | ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,K) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,K) = k6_xcmplx_0(k3_xcmplx_0(6,G),4) & ? [L] : ( m1_subset_1(L,k4_ordinal1) & L = k6_xcmplx_0(k2_xcmplx_0(H,G),1) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,K),k10_ami_3(2)) = k1_pre_ff(L) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,K),k10_ami_3(3)) = k1_pre_ff(k1_nat_1(L,1)) ) ) ) ) ) ) ) ) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ! [O] : ( v7_ordinal1(O) => ! [P] : ( ( v5_memstr_0(P,k5_card_1(2),k1_ami_3,3) & m1_scm_1(P,k16_afinsq_1(1,k1_nat_1(G,1),N,O)) ) => ( ( N = k1_pre_ff(M) & O = k1_pre_ff(k1_nat_1(M,1)) ) => ( r1_xxreal_0(k1_nat_1(G,1),k5_numbers) | ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,P) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,P) = k6_xcmplx_0(k3_xcmplx_0(6,k1_nat_1(G,1)),4) & ? [Q] : ( m1_subset_1(Q,k4_ordinal1) & Q = k6_xcmplx_0(k2_xcmplx_0(M,k1_nat_1(G,1)),1) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,P),k10_ami_3(2)) = k1_pre_ff(Q) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,P),k10_ami_3(3)) = k1_pre_ff(k1_nat_1(Q,1)) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( v7_ordinal1(R) => ! [S] : ( v7_ordinal1(S) => ! [T] : ( v7_ordinal1(T) => ! [U] : ( ( v5_memstr_0(U,k5_card_1(2),k1_ami_3,3) & m1_scm_1(U,k16_afinsq_1(1,G,S,T)) ) => ( ( S = k1_pre_ff(R) & T = k1_pre_ff(k1_nat_1(R,1)) ) => ( r1_xxreal_0(G,k5_numbers) | ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,U) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,U) = k6_xcmplx_0(k3_xcmplx_0(6,G),4) & ? [V] : ( m1_subset_1(V,k4_ordinal1) & V = k6_xcmplx_0(k2_xcmplx_0(R,G),1) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,U),k10_ami_3(2)) = k1_pre_ff(V) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,U),k10_ami_3(3)) = k1_pre_ff(k1_nat_1(V,1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_13__lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e4_141__group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(C)) => ! [F] : ( m2_finseq_1(F,k4_numbers) => ( ( k3_finseq_1(D) = k5_numbers & D = E & k3_finseq_1(D) = k3_finseq_1(F) ) => k3_group_4(B,k4_group_4(B,F,D)) = k3_group_4(C,k4_group_4(C,F,E)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(B)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(C)) => ! [J] : ( m2_finseq_1(J,k4_numbers) => ( ( k3_finseq_1(H) = G & H = I & k3_finseq_1(H) = k3_finseq_1(J) ) => k3_group_4(B,k4_group_4(B,J,H)) = k3_group_4(C,k4_group_4(C,J,I)) ) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(B)) => ! [L] : ( m2_finseq_1(L,u1_struct_0(C)) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ( ( k3_finseq_1(K) = k1_nat_1(G,1) & K = L & k3_finseq_1(K) = k3_finseq_1(M) ) => k3_group_4(B,k4_group_4(B,M,K)) = k3_group_4(C,k4_group_4(C,M,L)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m2_finseq_1(N,u1_struct_0(B)) => ! [O] : ( m2_finseq_1(O,u1_struct_0(C)) => ! [P] : ( m2_finseq_1(P,k4_numbers) => ( ( k3_finseq_1(N) = G & N = O & k3_finseq_1(N) = k3_finseq_1(P) ) => k3_group_4(B,k4_group_4(B,P,N)) = k3_group_4(C,k4_group_4(C,P,O)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_146_1_1__valued_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) ) => ( ( ( r1_xxreal_0(C,k5_numbers) => k8_nat_1(A,B,C) = k8_nat_1(A,B,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(C,D) => k8_nat_1(A,B,C) = k8_nat_1(A,B,D) ) => ( r1_xxreal_0(C,k1_nat_1(D,1)) => k8_nat_1(A,B,C) = k8_nat_1(A,B,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => k8_nat_1(A,B,C) = k8_nat_1(A,B,D) ) ) ) ) )).
fof(s2_nat_1__e4_146__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) & m2_funct_2(E,k30_fomodel2(A),k30_fomodel2(A),k9_funct_2(k30_fomodel2(A),k30_fomodel2(A))) ) => ( ( k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k2_xcmplx_0(k29_fomodel2(A,D),k5_numbers)),D) = k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k29_fomodel2(A,D)),D) & ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D) = B => k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,k36_fomodel3(A,B,C)),k5_numbers),D) = D ) & ! [F] : ( v7_ordinal1(F) => ( ( k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k2_xcmplx_0(k29_fomodel2(A,D),F)),D) = k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k29_fomodel2(A,D)),D) & ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D) = B => k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,k36_fomodel3(A,B,C)),F),D) = D ) ) => ( k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k2_xcmplx_0(k29_fomodel2(A,D),k1_nat_1(F,1))),D) = k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k29_fomodel2(A,D)),D) & ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D) = B => k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,k36_fomodel3(A,B,C)),k1_nat_1(F,1)),D) = D ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k2_xcmplx_0(k29_fomodel2(A,D),F)),D) = k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,E),k29_fomodel2(A,D)),D) & ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D) = B => k1_funct_1(k8_nat_1(k9_funct_2(k30_fomodel2(A),k30_fomodel2(A)),k32_fomodel3(A,B,C,k36_fomodel3(A,B,C)),F),D) = D ) ) ) ) ) )).
fof(s2_nat_1__e4_14_1_1_6_4__measure4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_measure4(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(A)) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k12_supinf_2(k16_supinf_2(E),k5_numbers) = k4_supinf_2(k12_supinf_2(B,k4_subset_1(A,D,C)),k12_supinf_2(B,D)) & ! [F] : ( v7_ordinal1(F) => ( k12_supinf_2(k16_supinf_2(E),F) = k4_supinf_2(k12_supinf_2(B,k4_subset_1(A,D,C)),k12_supinf_2(B,D)) => k12_supinf_2(k16_supinf_2(E),k1_nat_1(F,1)) = k4_supinf_2(k12_supinf_2(B,k4_subset_1(A,D,C)),k12_supinf_2(B,D)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k12_supinf_2(k16_supinf_2(E),F) = k4_supinf_2(k12_supinf_2(B,k4_subset_1(A,D,C)),k12_supinf_2(B,D)) ) ) ) )).
fof(s2_nat_1__e4_14_2_1_2_1__tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k1_nat_1(k5_numbers,1)),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k2_power(B,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k1_nat_1(D,1)),k8_nat_1(u1_struct_0(A),C,D)),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k2_power(B,D))) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k1_nat_1(k1_nat_1(D,1),1)),k8_nat_1(u1_struct_0(A),C,k1_nat_1(D,1))),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k2_power(B,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k1_nat_1(D,1)),k8_nat_1(u1_struct_0(A),C,D)),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k2_power(B,D))) ) ) ) )).
fof(s2_nat_1__e4_14_2_1_2_2__tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k5_numbers),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k7_xcmplx_0(k6_xcmplx_0(1,k2_power(B,k5_numbers)),k6_xcmplx_0(1,B)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,D),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k7_xcmplx_0(k6_xcmplx_0(1,k2_power(B,D)),k6_xcmplx_0(1,B)))) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,k1_nat_1(D,1)),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k7_xcmplx_0(k6_xcmplx_0(1,k2_power(B,k1_nat_1(D,1))),k6_xcmplx_0(1,B)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,D),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k3_xcmplx_0(k3_metric_1(A,k8_nat_1(u1_struct_0(A),C,1),k8_nat_1(u1_struct_0(A),C,k5_numbers)),k7_xcmplx_0(k6_xcmplx_0(1,k2_power(B,D)),k6_xcmplx_0(1,B)))) ) ) ) )).
fof(s2_nat_1__e4_14__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) & m2_finseq_1(C,A) & m2_finseq_1(D,A) & m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k1_nat_1(k3_finseq_1(D),1)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),k2_xcmplx_0(k3_finseq_1(C),k5_numbers)) = k1_funct_1(k2_fsm_1(A,B,F,D),k5_numbers) ) & ! [G] : ( v7_ordinal1(G) => ( ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(k3_finseq_1(D),1)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),k2_xcmplx_0(k3_finseq_1(C),G)) = k1_funct_1(k2_fsm_1(A,B,F,D),G) ) => ( ( r1_xxreal_0(1,k1_nat_1(G,1)) & r1_xxreal_0(k1_nat_1(G,1),k1_nat_1(k3_finseq_1(D),1)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),k2_xcmplx_0(k3_finseq_1(C),k1_nat_1(G,1))) = k1_funct_1(k2_fsm_1(A,B,F,D),k1_nat_1(G,1)) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(k3_finseq_1(D),1)) ) => k1_funct_1(k2_fsm_1(A,B,E,k8_finseq_1(A,C,D)),k2_xcmplx_0(k3_finseq_1(C),G)) = k1_funct_1(k2_fsm_1(A,B,F,D),G) ) ) ) ) )).
fof(s2_nat_1__e4_14__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,C),k5_numbers) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,D),k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,C),E) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,D),E) ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,C),k1_nat_1(E,1)) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,D),k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,C),E) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,D),E) ) ) ) ) )).
fof(s2_nat_1__e4_14__mesfunc3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( ! [C] : ( ( v1_prob_2(C) & m2_finseq_1(C,B) ) => ~ ( k3_finseq_1(C) = k5_numbers & ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ~ ( k3_tarski(k2_relset_1(B,C)) = k3_tarski(k2_relset_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ( k1_funct_1(D,E) != k1_xboole_0 & ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k4_finseq_1(C)) & k1_funct_1(C,F) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_prob_2(H) & m2_finseq_1(H,B) ) => ~ ( k3_finseq_1(H) = G & ! [I] : ( ( v1_prob_2(I) & m2_finseq_1(I,B) ) => ~ ( k3_tarski(k2_relset_1(B,H)) = k3_tarski(k2_relset_1(B,I)) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(I)) => ( k1_funct_1(I,J) != k1_xboole_0 & ? [K] : ( v7_ordinal1(K) & r2_tarski(K,k4_finseq_1(H)) & k1_funct_1(H,K) = k1_funct_1(I,J) ) ) ) ) ) ) ) ) => ! [L] : ( ( v1_prob_2(L) & m2_finseq_1(L,B) ) => ~ ( k3_finseq_1(L) = k1_nat_1(G,1) & ! [M] : ( ( v1_prob_2(M) & m2_finseq_1(M,B) ) => ~ ( k3_tarski(k2_relset_1(B,L)) = k3_tarski(k2_relset_1(B,M)) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k4_finseq_1(M)) => ( k1_funct_1(M,N) != k1_xboole_0 & ? [O] : ( v7_ordinal1(O) & r2_tarski(O,k4_finseq_1(L)) & k1_funct_1(L,O) = k1_funct_1(M,N) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( ( v1_prob_2(P) & m2_finseq_1(P,B) ) => ~ ( k3_finseq_1(P) = G & ! [Q] : ( ( v1_prob_2(Q) & m2_finseq_1(Q,B) ) => ~ ( k3_tarski(k2_relset_1(B,P)) = k3_tarski(k2_relset_1(B,Q)) & ! [R] : ( v7_ordinal1(R) => ( r2_tarski(R,k4_finseq_1(Q)) => ( k1_funct_1(Q,R) != k1_xboole_0 & ? [S] : ( v7_ordinal1(S) & r2_tarski(S,k4_finseq_1(P)) & k1_funct_1(P,S) = k1_funct_1(Q,R) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_14__newton,axiom,( ( k1_newton(1,k5_numbers) = 1 & ! [A] : ( v7_ordinal1(A) => ( k1_newton(1,A) = 1 => k1_newton(1,k1_nat_1(A,1)) = 1 ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_newton(1,A) = 1 ) )).
fof(s2_nat_1__e4_14__ntalgo_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( ( k8_nat_1(k4_numbers,B,k5_numbers) != k5_numbers => k3_int_2(k8_nat_1(k4_numbers,A,k5_numbers),k8_nat_1(k4_numbers,B,k5_numbers)) = k3_int_2(k8_nat_1(k4_numbers,A,k5_numbers),k8_nat_1(k4_numbers,B,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( k8_nat_1(k4_numbers,B,C) != k5_numbers => k3_int_2(k8_nat_1(k4_numbers,A,k5_numbers),k8_nat_1(k4_numbers,B,k5_numbers)) = k3_int_2(k8_nat_1(k4_numbers,A,C),k8_nat_1(k4_numbers,B,C)) ) => ( k8_nat_1(k4_numbers,B,k1_nat_1(C,1)) != k5_numbers => k3_int_2(k8_nat_1(k4_numbers,A,k5_numbers),k8_nat_1(k4_numbers,B,k5_numbers)) = k3_int_2(k8_nat_1(k4_numbers,A,k1_nat_1(C,1)),k8_nat_1(k4_numbers,B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k4_numbers,B,C) != k5_numbers => k3_int_2(k8_nat_1(k4_numbers,A,k5_numbers),k8_nat_1(k4_numbers,B,k5_numbers)) = k3_int_2(k8_nat_1(k4_numbers,A,C),k8_nat_1(k4_numbers,B,C)) ) ) ) ) )).
fof(s2_nat_1__e4_14__uniroots,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( ( v1_int_1(k1_binop_1(k4_group_1(k1_complfld),A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( v1_int_1(k1_binop_1(k4_group_1(k1_complfld),A,B)) => v1_int_1(k1_binop_1(k4_group_1(k1_complfld),A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => v1_int_1(k1_binop_1(k4_group_1(k1_complfld),A,B)) ) ) ) )).
fof(s2_nat_1__e4_158__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( ( ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [F] : ( ( v3_fomodel2(F,B,k5_numbers) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k2_partfun1(k6_subset_1(u1_struct_0(B),k1_tarski(u3_struct_0(B))),k4_numbers,u1_fomodel1(B),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) = k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) & k5_relat_1(D,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) = k5_relat_1(E,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) & ! [G] : ( ( v3_fomodel2(G,C,k5_numbers) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => F != G ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m2_subset_1(I,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [J] : ( m2_subset_1(J,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [K] : ( ( v3_fomodel2(K,B,H) & m2_subset_1(K,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k2_partfun1(k6_subset_1(u1_struct_0(B),k1_tarski(u3_struct_0(B))),k4_numbers,u1_fomodel1(B),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(K),k37_fomodel1(B))) = k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(K),k37_fomodel1(B))) & k5_relat_1(I,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(K),k37_fomodel1(B))) = k5_relat_1(J,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(K),k37_fomodel1(B))) & ! [L] : ( ( v3_fomodel2(L,C,H) & m2_subset_1(L,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => K != L ) ) ) ) ) => ! [M] : ( m2_subset_1(M,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [N] : ( m2_subset_1(N,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [O] : ( ( v3_fomodel2(O,B,k1_nat_1(H,1)) & m2_subset_1(O,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k2_partfun1(k6_subset_1(u1_struct_0(B),k1_tarski(u3_struct_0(B))),k4_numbers,u1_fomodel1(B),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(O),k37_fomodel1(B))) = k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(O),k37_fomodel1(B))) & k5_relat_1(M,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(O),k37_fomodel1(B))) = k5_relat_1(N,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(O),k37_fomodel1(B))) & ! [P] : ( ( v3_fomodel2(P,C,k1_nat_1(H,1)) & m2_subset_1(P,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => O != P ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ( m2_subset_1(Q,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [R] : ( m2_subset_1(R,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [S] : ( ( v3_fomodel2(S,B,H) & m2_subset_1(S,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k2_partfun1(k6_subset_1(u1_struct_0(B),k1_tarski(u3_struct_0(B))),k4_numbers,u1_fomodel1(B),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(S),k37_fomodel1(B))) = k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(S),k37_fomodel1(B))) & k5_relat_1(Q,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(S),k37_fomodel1(B))) = k5_relat_1(R,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(S),k37_fomodel1(B))) & ! [T] : ( ( v3_fomodel2(T,C,H) & m2_subset_1(T,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => S != T ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_159_3_1_2__aofa_a01,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k8_afinsq_1(k4_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(k4_numbers)))) ) => ( ( k8_nat_1(k8_afinsq_1(k4_numbers),A,k5_numbers) != k1_xboole_0 & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k8_afinsq_1(k4_numbers),A,B) != k1_xboole_0 => k8_nat_1(k8_afinsq_1(k4_numbers),A,k1_nat_1(B,1)) != k1_xboole_0 ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k8_afinsq_1(k4_numbers),A,B) != k1_xboole_0 ) ) ) )).
fof(s2_nat_1__e4_15__fscirc_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( v1_relat_1(k3_msafree2(k1_fscirc_2(k5_numbers,A,B))) & ! [C] : ( v7_ordinal1(C) => ( v1_relat_1(k3_msafree2(k1_fscirc_2(C,A,B))) => v1_relat_1(k3_msafree2(k1_fscirc_2(k1_nat_1(C,1),A,B))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_relat_1(k3_msafree2(k1_fscirc_2(C,A,B))) ) ) ) )).
fof(s2_nat_1__e4_15__gfacirc2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( v1_relat_1(k3_msafree2(k1_gfacirc2(k5_numbers,A,B))) & ! [C] : ( v7_ordinal1(C) => ( v1_relat_1(k3_msafree2(k1_gfacirc2(C,A,B))) => v1_relat_1(k3_msafree2(k1_gfacirc2(k1_nat_1(C,1),A,B))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_relat_1(k3_msafree2(k1_gfacirc2(C,A,B))) ) ) ) )).
fof(s2_nat_1__e4_15__prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k5_numbers) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),B,D)) ) ) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,B),k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),B,F)) ) ) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,B),E)) ) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k1_nat_1(E,1)) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),B,G)) ) ) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,B),k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,E) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),B,H)) ) ) => r2_hidden(C,k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,B),E)) ) ) ) ) )).
fof(s2_nat_1__e4_15__uniroots,axiom,( ( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(A) = k5_numbers & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k4_finseq_1(A)) => v1_int_1(k1_funct_1(A,B)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,A)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(D) = C & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => v1_int_1(k1_funct_1(D,E)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,D)) ) ) => ! [F] : ( m2_finseq_1(F,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(F)) => v1_int_1(k1_funct_1(F,G)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,F)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(H) = C & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( r2_tarski(I,k4_finseq_1(H)) => v1_int_1(k1_funct_1(H,I)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,H)) ) ) ) )).
fof(s2_nat_1__e4_16_1__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( ( k1_binop_1(k2_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),C,k5_numbers) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),C,k5_numbers),k1_binop_1(k2_dblseq_2(B),C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k1_binop_1(k2_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),C,D) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),C,D),k1_binop_1(k2_dblseq_2(B),C,D)) => k1_binop_1(k2_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),C,k1_nat_1(D,1)) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),C,k1_nat_1(D,1)),k1_binop_1(k2_dblseq_2(B),C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k2_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),C,D) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),C,D),k1_binop_1(k2_dblseq_2(B),C,D)) ) ) ) )).
fof(s2_nat_1__e4_16_2_1_3__lopban_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(D) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,C,k2_xcmplx_0(D,k5_numbers)),k1_normsp_0(A,C,D))),k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),D),k7_xcmplx_0(k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),k5_numbers)),k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),1))))) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,C,k2_xcmplx_0(D,E)),k1_normsp_0(A,C,D))),k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),D),k7_xcmplx_0(k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),E)),k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),1))))) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,C,k2_xcmplx_0(D,k1_nat_1(E,1))),k1_normsp_0(A,C,D))),k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),D),k7_xcmplx_0(k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),k1_nat_1(E,1))),k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),1))))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,C,k2_xcmplx_0(D,E)),k1_normsp_0(A,C,D))),k3_xcmplx_0(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),D),k7_xcmplx_0(k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),E)),k6_xcmplx_0(1,k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(B,k2_xcmplx_0(1,B))),1))))) ) ) ) )).
fof(s2_nat_1__e4_16_2__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( ( k1_binop_1(k3_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),k5_numbers,C) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),k5_numbers,C),k1_binop_1(k3_dblseq_2(B),k5_numbers,C)) & ! [D] : ( v7_ordinal1(D) => ( k1_binop_1(k3_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),D,C) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),D,C),k1_binop_1(k3_dblseq_2(B),D,C)) => k1_binop_1(k3_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),k1_nat_1(D,1),C) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),k1_nat_1(D,1),C),k1_binop_1(k3_dblseq_2(B),k1_nat_1(D,1),C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k3_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),D,C) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),D,C),k1_binop_1(k3_dblseq_2(B),D,C)) ) ) ) )).
fof(s2_nat_1__e4_16__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),k5_numbers) = k8_group_1(A,k2_binom(A,B,k5_numbers),k2_binom(A,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),D) = k8_group_1(A,k2_binom(A,B,D),k2_binom(A,C,D)) => k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),k1_nat_1(D,1)) = k8_group_1(A,k2_binom(A,B,k1_nat_1(D,1)),k2_binom(A,C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),D) = k8_group_1(A,k2_binom(A,B,D),k2_binom(A,C,D)) ) ) ) )).
fof(s2_nat_1__e4_16__scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) = 5 & ~ r1_xxreal_0(k1_funct_1(B,k3_scmp_gcd),k5_numbers) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)),k5_numbers) & r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2))) & ! [C] : ( v7_ordinal1(C) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(B,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k3_scmp_gcd) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)) = k3_int_2(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k2_xcmplx_0(k1_funct_1(B,k3_scmp_gcd),1)) => ( r1_xxreal_0(D,1) | k1_funct_1(B,k1_scmp_gcd(D)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k1_scmp_gcd(D)) ) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,F) = 5 & ~ r1_xxreal_0(k1_funct_1(F,k3_scmp_gcd),k5_numbers) & k1_funct_1(F,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(F,k2_scmpds_2(k1_funct_1(F,k3_scmp_gcd),3)),E) & r1_xxreal_0(k5_numbers,k1_funct_1(F,k2_scmpds_2(k1_funct_1(F,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(F,k2_scmpds_2(k1_funct_1(F,k3_scmp_gcd),3)),k1_funct_1(F,k2_scmpds_2(k1_funct_1(F,k3_scmp_gcd),2))) & ! [G] : ( v7_ordinal1(G) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,F,G)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(F,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,F,G),k3_scmp_gcd) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,F,G),k2_scmpds_2(k1_funct_1(F,k3_scmp_gcd),2)) = k3_int_2(k1_funct_1(F,k2_scmpds_2(k1_funct_1(F,k3_scmp_gcd),2)),k1_funct_1(F,k2_scmpds_2(k1_funct_1(F,k3_scmp_gcd),3))) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,k2_xcmplx_0(k1_funct_1(F,k3_scmp_gcd),1)) => ( r1_xxreal_0(H,1) | k1_funct_1(F,k1_scmp_gcd(H)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,F,G),k1_scmp_gcd(H)) ) ) ) ) ) ) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,I) = 5 & ~ r1_xxreal_0(k1_funct_1(I,k3_scmp_gcd),k5_numbers) & k1_funct_1(I,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3)),k1_nat_1(E,1)) & r1_xxreal_0(k5_numbers,k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3)),k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),2))) & ! [J] : ( v7_ordinal1(J) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,J)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(I,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,J),k3_scmp_gcd) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,J),k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),2)) = k3_int_2(k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),2)),k1_funct_1(I,k2_scmpds_2(k1_funct_1(I,k3_scmp_gcd),3))) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(K,k2_xcmplx_0(k1_funct_1(I,k3_scmp_gcd),1)) => ( r1_xxreal_0(K,1) | k1_funct_1(I,k1_scmp_gcd(K)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,I,J),k1_scmp_gcd(K)) ) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,L) = 5 & ~ r1_xxreal_0(k1_funct_1(L,k3_scmp_gcd),k5_numbers) & k1_funct_1(L,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k1_funct_1(L,k2_scmpds_2(k1_funct_1(L,k3_scmp_gcd),3)),E) & r1_xxreal_0(k5_numbers,k1_funct_1(L,k2_scmpds_2(k1_funct_1(L,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(L,k2_scmpds_2(k1_funct_1(L,k3_scmp_gcd),3)),k1_funct_1(L,k2_scmpds_2(k1_funct_1(L,k3_scmp_gcd),2))) & ! [M] : ( v7_ordinal1(M) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,L,M)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(L,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,L,M),k3_scmp_gcd) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,L,M),k2_scmpds_2(k1_funct_1(L,k3_scmp_gcd),2)) = k3_int_2(k1_funct_1(L,k2_scmpds_2(k1_funct_1(L,k3_scmp_gcd),2)),k1_funct_1(L,k2_scmpds_2(k1_funct_1(L,k3_scmp_gcd),3))) & ! [N] : ( v7_ordinal1(N) => ( r1_xxreal_0(N,k2_xcmplx_0(k1_funct_1(L,k3_scmp_gcd),1)) => ( r1_xxreal_0(N,1) | k1_funct_1(L,k1_scmp_gcd(N)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,L,M),k1_scmp_gcd(N)) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_16__zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k5_zmodul04(A))) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( E = k1_funct_1(B,D) & k1_funct_1(C,D) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),E) ) ) ) ) ) => k4_rlvect_1(k5_zmodul04(A),C) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),k4_rlvect_1(A,B)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k5_zmodul04(A))) => ( ( k3_finseq_1(G) = F & k3_finseq_1(G) = k3_finseq_1(H) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(G)) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( J = k1_funct_1(G,I) & k1_funct_1(H,I) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),J) ) ) ) ) ) => k4_rlvect_1(k5_zmodul04(A),H) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),k4_rlvect_1(A,G)) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ! [L] : ( m2_finseq_1(L,u1_struct_0(k5_zmodul04(A))) => ( ( k3_finseq_1(K) = k1_nat_1(F,1) & k3_finseq_1(K) = k3_finseq_1(L) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ~ ( r2_tarski(M,k4_finseq_1(K)) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( N = k1_funct_1(K,M) & k1_funct_1(L,M) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),N) ) ) ) ) ) => k4_rlvect_1(k5_zmodul04(A),L) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),k4_rlvect_1(A,K)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ! [P] : ( m2_finseq_1(P,u1_struct_0(k5_zmodul04(A))) => ( ( k3_finseq_1(O) = F & k3_finseq_1(O) = k3_finseq_1(P) & ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ~ ( r2_tarski(Q,k4_finseq_1(O)) & ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ~ ( R = k1_funct_1(O,Q) & k1_funct_1(P,Q) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),R) ) ) ) ) ) => k4_rlvect_1(k5_zmodul04(A),P) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),k4_rlvect_1(A,O)) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_17__bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) & v7_ordinal1(C) ) => ( ( k2_bcialg_6(A,k2_bcialg_6(A,B,C),k5_numbers) = k2_bcialg_6(A,B,k3_xcmplx_0(C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k2_bcialg_6(A,k2_bcialg_6(A,B,C),D) = k2_bcialg_6(A,B,k3_xcmplx_0(C,D)) => k2_bcialg_6(A,k2_bcialg_6(A,B,C),k1_nat_1(D,1)) = k2_bcialg_6(A,B,k3_xcmplx_0(C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_6(A,k2_bcialg_6(A,B,C),D) = k2_bcialg_6(A,B,k3_xcmplx_0(C,D)) ) ) ) )).
fof(s2_nat_1__e4_17__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ( k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,k5_numbers)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k2_binom(A,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,D)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k2_binom(A,B,D)) => k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,k1_nat_1(D,1))) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k2_binom(A,B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,D)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k2_binom(A,B,D)) ) ) ) )).
fof(s2_nat_1__e4_17__nagata_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),B)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),B)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) ) ) ) )).
fof(s2_nat_1__e4_17__nat_1,axiom,( ( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(k5_numbers,k1_nat_1(A,1)) & ~ r1_xxreal_0(k5_numbers,A) & k5_numbers != k1_nat_1(A,1) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(B,k1_nat_1(C,1)) & ~ r1_xxreal_0(B,C) & B != k1_nat_1(C,1) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k1_nat_1(B,1),k1_nat_1(D,1)) & ~ r1_xxreal_0(k1_nat_1(B,1),D) & k1_nat_1(B,1) != k1_nat_1(D,1) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(B,k1_nat_1(E,1)) & ~ r1_xxreal_0(B,E) & B != k1_nat_1(E,1) ) ) ) )).
fof(s2_nat_1__e4_17__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_funct_1(k1_funct_1(k5_ndiff_6(A,B,C,D),k5_numbers)) & m1_subset_1(k1_funct_1(k5_ndiff_6(A,B,C,D),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k5_numbers))))) & ! [E] : ( v7_ordinal1(E) => ( ( v1_funct_1(k1_funct_1(k5_ndiff_6(A,B,C,D),E)) & m1_subset_1(k1_funct_1(k5_ndiff_6(A,B,C,D),E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,E))))) ) => ( v1_funct_1(k1_funct_1(k5_ndiff_6(A,B,C,D),k1_nat_1(E,1))) & m1_subset_1(k1_funct_1(k5_ndiff_6(A,B,C,D),k1_nat_1(E,1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k1_nat_1(E,1)))))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( v1_funct_1(k1_funct_1(k5_ndiff_6(A,B,C,D),E)) & m1_subset_1(k1_funct_1(k5_ndiff_6(A,B,C,D),E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,E))))) ) ) ) ) )).
fof(s2_nat_1__e4_17__pepin,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( k4_nat_d(k1_newton(B,k5_numbers),A) = k4_nat_d(k1_newton(k4_nat_d(B,A),k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( k4_nat_d(k1_newton(B,C),A) = k4_nat_d(k1_newton(k4_nat_d(B,A),C),A) => k4_nat_d(k1_newton(B,k1_nat_1(C,1)),A) = k4_nat_d(k1_newton(k4_nat_d(B,A),k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k4_nat_d(k1_newton(B,C),A) = k4_nat_d(k1_newton(k4_nat_d(B,A),C),A) ) ) ) )).
fof(s2_nat_1__e4_17__topdim_2,axiom,( ( ! [A] : ( ( v2_pre_topc(A) & v5_waybel23(A) & v3_topdim_1(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & v5_waybel23(B) & v3_topdim_1(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( r1_xxreal_0(k1_xxreal_3(k1_xxreal_3(k4_topdim_1(A),k4_topdim_1(B)),2),k5_numbers) => ( ( v2_struct_0(A) & v2_struct_0(B) ) | ( v3_topdim_1(k2_borsuk_1(A,B)) & r1_xxreal_0(k4_topdim_1(k2_borsuk_1(A,B)),k1_xxreal_3(k4_topdim_1(A),k4_topdim_1(B))) ) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v2_pre_topc(D) & v5_waybel23(D) & v3_topdim_1(D) & v3_pcomps_1(D) & l1_pre_topc(D) ) => ! [E] : ( ( v2_pre_topc(E) & v5_waybel23(E) & v3_topdim_1(E) & v3_pcomps_1(E) & l1_pre_topc(E) ) => ( r1_xxreal_0(k1_xxreal_3(k1_xxreal_3(k4_topdim_1(D),k4_topdim_1(E)),2),C) => ( ( v2_struct_0(D) & v2_struct_0(E) ) | ( v3_topdim_1(k2_borsuk_1(D,E)) & r1_xxreal_0(k4_topdim_1(k2_borsuk_1(D,E)),k1_xxreal_3(k4_topdim_1(D),k4_topdim_1(E))) ) ) ) ) ) => ! [F] : ( ( v2_pre_topc(F) & v5_waybel23(F) & v3_topdim_1(F) & v3_pcomps_1(F) & l1_pre_topc(F) ) => ! [G] : ( ( v2_pre_topc(G) & v5_waybel23(G) & v3_topdim_1(G) & v3_pcomps_1(G) & l1_pre_topc(G) ) => ( r1_xxreal_0(k1_xxreal_3(k1_xxreal_3(k4_topdim_1(F),k4_topdim_1(G)),2),k1_nat_1(C,1)) => ( ( v2_struct_0(F) & v2_struct_0(G) ) | ( v3_topdim_1(k2_borsuk_1(F,G)) & r1_xxreal_0(k4_topdim_1(k2_borsuk_1(F,G)),k1_xxreal_3(k4_topdim_1(F),k4_topdim_1(G))) ) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v2_pre_topc(H) & v5_waybel23(H) & v3_topdim_1(H) & v3_pcomps_1(H) & l1_pre_topc(H) ) => ! [I] : ( ( v2_pre_topc(I) & v5_waybel23(I) & v3_topdim_1(I) & v3_pcomps_1(I) & l1_pre_topc(I) ) => ( r1_xxreal_0(k1_xxreal_3(k1_xxreal_3(k4_topdim_1(H),k4_topdim_1(I)),2),C) => ( ( v2_struct_0(H) & v2_struct_0(I) ) | ( v3_topdim_1(k2_borsuk_1(H,I)) & r1_xxreal_0(k4_topdim_1(k2_borsuk_1(H,I)),k1_xxreal_3(k4_topdim_1(H),k4_topdim_1(I))) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_182__fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ( ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v14_fomodel1(B,k5_numbers,A) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(B),k16_fomodel1(A)) = k1_xboole_0 ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v14_fomodel1(D,C,A) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(D),k16_fomodel1(A)) = k1_xboole_0 ) ) => ! [E] : ( m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v14_fomodel1(E,k1_nat_1(C,1),A) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(E),k16_fomodel1(A)) = k1_xboole_0 ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_subset_1(F,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v14_fomodel1(F,C,A) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(F),k16_fomodel1(A)) = k1_xboole_0 ) ) ) ) ) )).
fof(s2_nat_1__e4_184__fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( ( ! [B] : ( m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v3_fomodel2(B,A,k5_numbers) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(B),k16_fomodel1(A)) = k1_xboole_0 ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v3_fomodel2(D,A,C) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(D),k16_fomodel1(A)) = k1_xboole_0 ) ) => ! [E] : ( m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v3_fomodel2(E,A,k1_nat_1(C,1)) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(E),k16_fomodel1(A)) = k1_xboole_0 ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_subset_1(F,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) => ~ ( v3_fomodel2(F,A,C) & k9_subset_1(k15_fomodel1(A),k10_xtuple_0(F),k16_fomodel1(A)) = k1_xboole_0 ) ) ) ) ) )).
fof(s2_nat_1__e4_18_2__scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v7_ordinal1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,C)),A,k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),A,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,C)),A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),A,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,C)),A,k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),A,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,C)),A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),A,E)) ) ) ) ) )).
fof(s2_nat_1__e4_18__bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) & m2_subset_1(C,u1_struct_0(A),k5_bcialg_1(A)) ) => ( ( k2_bcialg_6(A,k6_bcialg_1(A,B,C),k5_numbers) = k1_bcialg_1(A,k2_bcialg_6(A,B,k5_numbers),k2_bcialg_6(A,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k2_bcialg_6(A,k6_bcialg_1(A,B,C),D) = k1_bcialg_1(A,k2_bcialg_6(A,B,D),k2_bcialg_6(A,C,D)) => k2_bcialg_6(A,k6_bcialg_1(A,B,C),k1_nat_1(D,1)) = k1_bcialg_1(A,k2_bcialg_6(A,B,k1_nat_1(D,1)),k2_bcialg_6(A,C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_6(A,k6_bcialg_1(A,B,C),D) = k1_bcialg_1(A,k2_bcialg_6(A,B,D),k2_bcialg_6(A,C,D)) ) ) ) )).
fof(s2_nat_1__e4_18__card_fin,axiom,( ! [A] : ! [B] : ( ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v1_finset_1(D) => ( r1_xxreal_0(k1_nat_1(C,k4_card_1(D)),k5_numbers) => k4_card_1(k1_card_fin(D,C,A,B)) = k4_newton(C,k4_card_1(D)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v1_finset_1(G) => ( r1_xxreal_0(k1_nat_1(F,k4_card_1(G)),E) => k4_card_1(k1_card_fin(G,F,A,B)) = k4_newton(F,k4_card_1(G)) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v1_finset_1(I) => ( r1_xxreal_0(k1_nat_1(H,k4_card_1(I)),k1_nat_1(E,1)) => k4_card_1(k1_card_fin(I,H,A,B)) = k4_newton(H,k4_card_1(I)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v1_finset_1(K) => ( r1_xxreal_0(k1_nat_1(J,k4_card_1(K)),E) => k4_card_1(k1_card_fin(K,J,A,B)) = k4_newton(J,k4_card_1(K)) ) ) ) ) ) )).
fof(s2_nat_1__e4_18__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => ( ( k6_flang_1(A,k1_flang_3(A,B,C),k1_flang_3(A,B,k5_numbers)) = k1_flang_3(A,B,k2_xcmplx_0(C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k6_flang_1(A,k1_flang_3(A,B,C),k1_flang_3(A,B,D)) = k1_flang_3(A,B,k2_xcmplx_0(C,D)) => k6_flang_1(A,k1_flang_3(A,B,C),k1_flang_3(A,B,k1_nat_1(D,1))) = k1_flang_3(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k6_flang_1(A,k1_flang_3(A,B,C),k1_flang_3(A,B,D)) = k1_flang_3(A,B,k2_xcmplx_0(C,D)) ) ) ) )).
fof(s2_nat_1__e4_18__group_12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_group_7(B) & v2_group_7(B,k2_finseq_1(A)) & v3_group_7(B,k2_finseq_1(A)) & v7_ordinal1(C) & ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & l3_algstr_0(D) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [F] : ( m2_finseq_1(F,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( k3_finseq_1(F) = k5_numbers & ! [G] : ( m2_subset_1(G,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(G,k4_finseq_1(F)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,G),k1_funct_1(F,G)) ) ) & E = k3_group_4(k2_group_7(k2_finseq_1(A),B),F) ) => ( r1_xxreal_0(C,k3_finseq_1(F)) | k1_funct_1(E,C) = k1_group_1(D) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [J] : ( m2_finseq_1(J,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( k3_finseq_1(J) = H & ! [K] : ( m2_subset_1(K,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(K,k4_finseq_1(J)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,K),k1_funct_1(J,K)) ) ) & I = k3_group_4(k2_group_7(k2_finseq_1(A),B),J) ) => ( r1_xxreal_0(C,k3_finseq_1(J)) | k1_funct_1(I,C) = k1_group_1(D) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [M] : ( m2_finseq_1(M,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( k3_finseq_1(M) = k1_nat_1(H,1) & ! [N] : ( m2_subset_1(N,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(N,k4_finseq_1(M)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,N),k1_funct_1(M,N)) ) ) & L = k3_group_4(k2_group_7(k2_finseq_1(A),B),M) ) => ( r1_xxreal_0(C,k3_finseq_1(M)) | k1_funct_1(L,C) = k1_group_1(D) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( m1_subset_1(O,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [P] : ( m2_finseq_1(P,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( k3_finseq_1(P) = H & ! [Q] : ( m2_subset_1(Q,k4_ordinal1,k2_finseq_1(A)) => ( r2_tarski(Q,k4_finseq_1(P)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,Q),k1_funct_1(P,Q)) ) ) & O = k3_group_4(k2_group_7(k2_finseq_1(A),B),P) ) => ( r1_xxreal_0(C,k3_finseq_1(P)) | k1_funct_1(O,C) = k1_group_1(D) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_18__matrlin2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m2_finseq_1(E,u1_struct_0(D)) => ( ( C = E & k3_finseq_1(C) = k5_numbers ) => k4_rlvect_1(B,C) = k4_rlvect_1(D,E) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(B)) => ! [H] : ( m1_vectsp_4(H,A,B) => ! [I] : ( m2_finseq_1(I,u1_struct_0(H)) => ( ( G = I & k3_finseq_1(G) = F ) => k4_rlvect_1(B,G) = k4_rlvect_1(H,I) ) ) ) ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(B)) => ! [K] : ( m1_vectsp_4(K,A,B) => ! [L] : ( m2_finseq_1(L,u1_struct_0(K)) => ( ( J = L & k3_finseq_1(J) = k1_nat_1(F,1) ) => k4_rlvect_1(B,J) = k4_rlvect_1(K,L) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ( m2_finseq_1(M,u1_struct_0(B)) => ! [N] : ( m1_vectsp_4(N,A,B) => ! [O] : ( m2_finseq_1(O,u1_struct_0(N)) => ( ( M = O & k3_finseq_1(M) = F ) => k4_rlvect_1(B,M) = k4_rlvect_1(N,O) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_18__series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_series_1(k1_valued_0(k1_numbers,A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( v1_series_1(k1_valued_0(k1_numbers,A,B)) => v1_series_1(k1_valued_0(k1_numbers,A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => v1_series_1(k1_valued_0(k1_numbers,A,B)) ) ) ) )).
fof(s2_nat_1__e4_19_1_1__nfcont_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),C) = C & ! [D] : ( v7_ordinal1(D) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = C => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(D,1)),C) = C ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = C ) ) ) )).
fof(s2_nat_1__e4_19_1__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(F) ) => ( ( ( r1_xxreal_0(k5_numbers,F) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k2_scmfsa6a(D,D)),k1_funct_4(k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),A),k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k1_scmfsa6a(D)),k1_funct_4(E,A),k5_numbers)) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,F) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k2_scmfsa6a(D,D)),k1_funct_4(k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),A),G),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k1_scmfsa6a(D)),k1_funct_4(E,A),G)) ) => ( r1_xxreal_0(k1_nat_1(G,1),F) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k2_scmfsa6a(D,D)),k1_funct_4(k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),A),k1_nat_1(G,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k1_scmfsa6a(D)),k1_funct_4(E,A),k1_nat_1(G,1))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,F) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k2_scmfsa6a(D,D)),k1_funct_4(k1_funct_4(B,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),A),G),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(C,D),k1_scmfsa6a(D)),k1_funct_4(E,A),G)) ) ) ) ) )).
fof(s2_nat_1__e4_19_1__scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v7_ordinal1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),A,k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),A,k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,E)) ) ) ) ) )).
fof(s2_nat_1__e4_19__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ( k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_binom(A,B,C),k5_numbers) = k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k3_xcmplx_0(C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_binom(A,B,C),D) = k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k3_xcmplx_0(C,D)) => k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_binom(A,B,C),k1_nat_1(D,1)) = k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k3_xcmplx_0(C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_binom(A,B,C),D) = k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k3_xcmplx_0(C,D)) ) ) ) )).
fof(s2_nat_1__e4_19__nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ ( r1_xxreal_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => k5_numbers != k2_xcmplx_0(A,B) ) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(A,C) & ! [D] : ( v7_ordinal1(D) => C != k2_xcmplx_0(A,D) ) ) => ~ ( r1_xxreal_0(A,k1_nat_1(C,1)) & ! [E] : ( v7_ordinal1(E) => k1_nat_1(C,1) != k2_xcmplx_0(A,E) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(A,C) & ! [F] : ( v7_ordinal1(F) => C != k2_xcmplx_0(A,F) ) ) ) ) ) )).
fof(s2_nat_1__e4_19__ntalgo_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( ( k8_nat_1(k4_numbers,D,k5_numbers) != k5_numbers => ( k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,k5_numbers),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k5_numbers),B)) = k8_nat_1(k4_numbers,C,k5_numbers) & k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(k5_numbers,1)),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k1_nat_1(k5_numbers,1)),B)) = k8_nat_1(k4_numbers,C,k1_nat_1(k5_numbers,1)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( k8_nat_1(k4_numbers,D,G) != k5_numbers => ( k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,G),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,G),B)) = k8_nat_1(k4_numbers,C,G) & k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(G,1)),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k1_nat_1(G,1)),B)) = k8_nat_1(k4_numbers,C,k1_nat_1(G,1)) ) ) => ( k8_nat_1(k4_numbers,D,k1_nat_1(G,1)) != k5_numbers => ( k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(G,1)),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k1_nat_1(G,1)),B)) = k8_nat_1(k4_numbers,C,k1_nat_1(G,1)) & k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(k1_nat_1(G,1),1)),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k1_nat_1(k1_nat_1(G,1),1)),B)) = k8_nat_1(k4_numbers,C,k1_nat_1(k1_nat_1(G,1),1)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( k8_nat_1(k4_numbers,D,G) != k5_numbers => ( k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,G),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,G),B)) = k8_nat_1(k4_numbers,C,G) & k2_xcmplx_0(k3_xcmplx_0(k8_nat_1(k4_numbers,E,k1_nat_1(G,1)),A),k3_xcmplx_0(k8_nat_1(k4_numbers,F,k1_nat_1(G,1)),B)) = k8_nat_1(k4_numbers,C,k1_nat_1(G,1)) ) ) ) ) ) )).
fof(s2_nat_1__e4_1_5__normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k3_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(C,k5_numbers)),k1_normsp_0(A,B,C)),k3_xcmplx_0(k7_xcmplx_0(1,k1_newton(2,C)),k6_xcmplx_0(1,k7_xcmplx_0(1,k1_newton(2,k5_numbers))))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(C,D)),k1_normsp_0(A,B,C)),k3_xcmplx_0(k7_xcmplx_0(1,k1_newton(2,C)),k6_xcmplx_0(1,k7_xcmplx_0(1,k1_newton(2,D))))) => r1_xxreal_0(k3_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))),k1_normsp_0(A,B,C)),k3_xcmplx_0(k7_xcmplx_0(1,k1_newton(2,C)),k6_xcmplx_0(1,k7_xcmplx_0(1,k1_newton(2,k1_nat_1(D,1)))))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_metric_1(A,k1_normsp_0(A,B,k2_xcmplx_0(C,D)),k1_normsp_0(A,B,C)),k3_xcmplx_0(k7_xcmplx_0(1,k1_newton(2,C)),k6_xcmplx_0(1,k7_xcmplx_0(1,k1_newton(2,D))))) ) ) ) )).
fof(s2_nat_1__e4_1__circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) ) => ( ( k1_funct_1(k5_facirc_1(A,B,C,k5_numbers),D) = k1_funct_1(C,D) & ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k5_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) => k1_funct_1(k5_facirc_1(A,B,C,k1_nat_1(E,1)),D) = k1_funct_1(C,D) ) ) ) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k5_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) ) ) ) )).
fof(s2_nat_1__e4_1__clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_normsp_0(A,B,k5_numbers) = k1_normsp_0(A,k1_bhsp_4(A,B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_normsp_0(A,B,C) = k1_normsp_0(A,k1_bhsp_4(A,B),C) => k1_normsp_0(A,B,k1_nat_1(C,1)) = k1_normsp_0(A,k1_bhsp_4(A,B),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k1_normsp_0(A,k1_bhsp_4(A,B),C) ) ) ) )).
fof(s2_nat_1__e4_1__comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,A),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,A),B) = k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B) => k8_nat_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,A),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,A),B) = k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B) ) ) ) )).
fof(s2_nat_1__e4_1__csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k1_funct_1(k10_comseq_3(k2_comseq_2(k4_ordinal1,A)),k5_numbers) = k1_funct_1(k2_comseq_2(k4_ordinal1,k10_comseq_3(A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k10_comseq_3(k2_comseq_2(k4_ordinal1,A)),B) = k1_funct_1(k2_comseq_2(k4_ordinal1,k10_comseq_3(A)),B) => k1_funct_1(k10_comseq_3(k2_comseq_2(k4_ordinal1,A)),k1_nat_1(B,1)) = k1_funct_1(k2_comseq_2(k4_ordinal1,k10_comseq_3(A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k10_comseq_3(k2_comseq_2(k4_ordinal1,A)),B) = k1_funct_1(k2_comseq_2(k4_ordinal1,k10_comseq_3(A)),B) ) ) ) )).
fof(s2_nat_1__e4_1__lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_normsp_0(A,B,k5_numbers) = k1_normsp_0(A,k1_bhsp_4(A,B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_normsp_0(A,B,C) = k1_normsp_0(A,k1_bhsp_4(A,B),C) => k1_normsp_0(A,B,k1_nat_1(C,1)) = k1_normsp_0(A,k1_bhsp_4(A,B),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k1_normsp_0(A,k1_bhsp_4(A,B),C) ) ) ) )).
fof(s2_nat_1__e4_1__mesfunc3,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_finseq_1(k5_numbers),k2_finseq_1(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k5_numbers),k2_finseq_1(A)),k1_numbers))) ) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k4_finseq_1(C) = k2_finseq_1(k5_numbers) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( k4_finseq_1(F) = k2_finseq_1(A) & k12_supinf_2(C,E) = k18_rvsum_1(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k12_supinf_2(F,G) = k1_funct_1(B,k4_tarski(E,G)) ) ) ) ) ) ) & k4_finseq_1(D) = k2_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( k4_finseq_1(F) = k2_finseq_1(k5_numbers) & k12_supinf_2(D,E) = k18_rvsum_1(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k12_supinf_2(F,G) = k1_funct_1(B,k4_tarski(G,E)) ) ) ) ) ) ) ) => k18_rvsum_1(C) = k18_rvsum_1(D) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k2_zfmisc_1(k2_finseq_1(H),k2_finseq_1(I)),k1_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(H),k2_finseq_1(I)),k1_numbers))) ) => ! [K] : ( m2_finseq_1(K,k1_numbers) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k4_finseq_1(K) = k2_finseq_1(H) & ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k4_finseq_1(K)) & ! [N] : ( m2_finseq_1(N,k1_numbers) => ~ ( k4_finseq_1(N) = k2_finseq_1(I) & k12_supinf_2(K,M) = k18_rvsum_1(N) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k4_finseq_1(N)) => k12_supinf_2(N,O) = k1_funct_1(J,k4_tarski(M,O)) ) ) ) ) ) ) & k4_finseq_1(L) = k2_finseq_1(I) & ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k4_finseq_1(L)) & ! [N] : ( m2_finseq_1(N,k1_numbers) => ~ ( k4_finseq_1(N) = k2_finseq_1(H) & k12_supinf_2(L,M) = k18_rvsum_1(N) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k4_finseq_1(N)) => k12_supinf_2(N,O) = k1_funct_1(J,k4_tarski(O,M)) ) ) ) ) ) ) ) => k18_rvsum_1(K) = k18_rvsum_1(L) ) ) ) ) ) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k2_zfmisc_1(k2_finseq_1(k1_nat_1(H,1)),k2_finseq_1(P)),k1_numbers) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(H,1)),k2_finseq_1(P)),k1_numbers))) ) => ! [R] : ( m2_finseq_1(R,k1_numbers) => ! [S] : ( m2_finseq_1(S,k1_numbers) => ( ( k4_finseq_1(R) = k2_finseq_1(k1_nat_1(H,1)) & ! [T] : ( v7_ordinal1(T) => ~ ( r2_tarski(T,k4_finseq_1(R)) & ! [U] : ( m2_finseq_1(U,k1_numbers) => ~ ( k4_finseq_1(U) = k2_finseq_1(P) & k12_supinf_2(R,T) = k18_rvsum_1(U) & ! [V] : ( v7_ordinal1(V) => ( r2_tarski(V,k4_finseq_1(U)) => k12_supinf_2(U,V) = k1_funct_1(Q,k4_tarski(T,V)) ) ) ) ) ) ) & k4_finseq_1(S) = k2_finseq_1(P) & ! [T] : ( v7_ordinal1(T) => ~ ( r2_tarski(T,k4_finseq_1(S)) & ! [U] : ( m2_finseq_1(U,k1_numbers) => ~ ( k4_finseq_1(U) = k2_finseq_1(k1_nat_1(H,1)) & k12_supinf_2(S,T) = k18_rvsum_1(U) & ! [V] : ( v7_ordinal1(V) => ( r2_tarski(V,k4_finseq_1(U)) => k12_supinf_2(U,V) = k1_funct_1(Q,k4_tarski(V,T)) ) ) ) ) ) ) ) => k18_rvsum_1(R) = k18_rvsum_1(S) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [W] : ( v7_ordinal1(W) => ! [X] : ( ( v1_funct_1(X) & v1_funct_2(X,k2_zfmisc_1(k2_finseq_1(H),k2_finseq_1(W)),k1_numbers) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(H),k2_finseq_1(W)),k1_numbers))) ) => ! [Y] : ( m2_finseq_1(Y,k1_numbers) => ! [Z] : ( m2_finseq_1(Z,k1_numbers) => ( ( k4_finseq_1(Y) = k2_finseq_1(H) & ! [A1] : ( v7_ordinal1(A1) => ~ ( r2_tarski(A1,k4_finseq_1(Y)) & ! [B1] : ( m2_finseq_1(B1,k1_numbers) => ~ ( k4_finseq_1(B1) = k2_finseq_1(W) & k12_supinf_2(Y,A1) = k18_rvsum_1(B1) & ! [C1] : ( v7_ordinal1(C1) => ( r2_tarski(C1,k4_finseq_1(B1)) => k12_supinf_2(B1,C1) = k1_funct_1(X,k4_tarski(A1,C1)) ) ) ) ) ) ) & k4_finseq_1(Z) = k2_finseq_1(W) & ! [A1] : ( v7_ordinal1(A1) => ~ ( r2_tarski(A1,k4_finseq_1(Z)) & ! [B1] : ( m2_finseq_1(B1,k1_numbers) => ~ ( k4_finseq_1(B1) = k2_finseq_1(H) & k12_supinf_2(Z,A1) = k18_rvsum_1(B1) & ! [C1] : ( v7_ordinal1(C1) => ( r2_tarski(C1,k4_finseq_1(B1)) => k12_supinf_2(B1,C1) = k1_funct_1(X,k4_tarski(C1,A1)) ) ) ) ) ) ) ) => k18_rvsum_1(Y) = k18_rvsum_1(Z) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_1__taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k9_complex1(k1_newton(A,k5_numbers)) = k1_newton(k9_complex1(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k9_complex1(k1_newton(A,B)) = k1_newton(k9_complex1(A),B) => k9_complex1(k1_newton(A,k1_nat_1(B,1))) = k1_newton(k9_complex1(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k9_complex1(k1_newton(A,B)) = k1_newton(k9_complex1(A),B) ) ) ) )).
fof(s2_nat_1__e4_1__waybel14,axiom,( ! [A] : ( ( ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( k4_card_1(B) = k5_numbers & ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( r1_tarski(C,B) & k5_setfam_1(A,C) = k5_setfam_1(A,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,C) & r1_tarski(D,k5_setfam_1(A,k7_subset_1(k1_zfmisc_1(A),C,k6_domain_1(k1_zfmisc_1(A),D)))) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( k4_card_1(F) = E & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( r1_tarski(G,F) & k5_setfam_1(A,G) = k5_setfam_1(A,F) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(A)) => ~ ( r2_tarski(H,G) & r1_tarski(H,k5_setfam_1(A,k7_subset_1(k1_zfmisc_1(A),G,k6_domain_1(k1_zfmisc_1(A),H)))) ) ) ) ) ) ) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( k4_card_1(I) = k1_nat_1(E,1) & ! [J] : ( ( v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( r1_tarski(J,I) & k5_setfam_1(A,J) = k5_setfam_1(A,I) & ! [K] : ( m1_subset_1(K,k1_zfmisc_1(A)) => ~ ( r2_tarski(K,J) & r1_tarski(K,k5_setfam_1(A,k7_subset_1(k1_zfmisc_1(A),J,k6_domain_1(k1_zfmisc_1(A),K)))) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( k4_card_1(L) = E & ! [M] : ( ( v1_finset_1(M) & m1_subset_1(M,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( r1_tarski(M,L) & k5_setfam_1(A,M) = k5_setfam_1(A,L) & ! [N] : ( m1_subset_1(N,k1_zfmisc_1(A)) => ~ ( r2_tarski(N,M) & r1_tarski(N,k5_setfam_1(A,k7_subset_1(k1_zfmisc_1(A),M,k6_domain_1(k1_zfmisc_1(A),N)))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_20_1__fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k1_funct_1(k2_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),k5_numbers) = k2_xboole_0(k1_funct_1(k2_fintopo3(A,B),k5_numbers),k1_funct_1(k2_fintopo3(A,C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k2_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),D) = k2_xboole_0(k1_funct_1(k2_fintopo3(A,B),D),k1_funct_1(k2_fintopo3(A,C),D)) => k1_funct_1(k2_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),k1_nat_1(D,1)) = k2_xboole_0(k1_funct_1(k2_fintopo3(A,B),k1_nat_1(D,1)),k1_funct_1(k2_fintopo3(A,C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k2_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),D) = k2_xboole_0(k1_funct_1(k2_fintopo3(A,B),D),k1_funct_1(k2_fintopo3(A,C),D)) ) ) ) )).
fof(s2_nat_1__e4_20_1__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),k1_funct_4(D,A),k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k1_scmfsa6a(C)),k1_funct_4(D,A),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),k1_funct_4(D,A),F),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k1_scmfsa6a(C)),k1_funct_4(D,A),F)) ) => ( r1_xxreal_0(k1_nat_1(F,1),E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),k1_funct_4(D,A),k1_nat_1(F,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k1_scmfsa6a(C)),k1_funct_4(D,A),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k2_scmfsa6a(C,C)),k1_funct_4(D,A),F),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),k1_scmfsa6a(C)),k1_funct_4(D,A),F)) ) ) ) ) )).
fof(s2_nat_1__e4_20_1__scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v7_ordinal1(F) ) => ( ( ( ~ r1_xxreal_0(k2_scmfsa8a(C,A,E),k5_numbers) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)),F) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k5_numbers)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( ~ r1_xxreal_0(k2_scmfsa8a(C,A,E),G) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) ) ) => ( ~ r1_xxreal_0(k2_scmfsa8a(C,A,E),k1_nat_1(G,1)) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1))),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(G,1))) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1))),F) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(G,1))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,k1_nat_1(G,1))) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(k2_scmfsa8a(C,A,E),G) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) ) ) ) ) ) )).
fof(s2_nat_1__e4_20__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) ) => ( ( k2_bcialg_6(A,k2_bcialg_1(A,B),k5_numbers) = k2_bcialg_1(A,k2_bcialg_6(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k2_bcialg_6(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k2_bcialg_6(A,B,C)) => k2_bcialg_6(A,k2_bcialg_1(A,B),k1_nat_1(C,1)) = k2_bcialg_1(A,k2_bcialg_6(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k2_bcialg_6(A,B,C)) ) ) ) )).
fof(s2_nat_1__e4_20__ltlaxio2,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_hilbert1) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k1_funct_1(k2_ltlaxio2(A),k5_numbers) = k1_funct_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,B,A)),k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,B) => k1_funct_1(k2_ltlaxio2(A),C) = k1_funct_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,B,A)),C) ) => ( r1_xxreal_0(k1_nat_1(C,1),B) => k1_funct_1(k2_ltlaxio2(A),k1_nat_1(C,1)) = k1_funct_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,B,A)),k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => k1_funct_1(k2_ltlaxio2(A),C) = k1_funct_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,B,A)),C) ) ) ) ) )).
fof(s2_nat_1__e4_20__nat_4,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_nat_d(A,k7_newton(k5_numbers)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ~ ( ~ r1_xxreal_0(C,B) & r1_nat_d(C,k7_newton(B)) ) ) => ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ~ ( ~ r1_xxreal_0(D,k1_nat_1(B,1)) & r1_nat_d(D,k7_newton(k1_nat_1(B,1))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => ~ ( ~ r1_xxreal_0(E,B) & r1_nat_d(E,k7_newton(B)) ) ) ) )).
fof(s2_nat_1__e4_21_1__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(D,D)),k1_funct_4(B,A),k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k1_scmfsa6a(D)),k1_funct_4(B,A),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(D,D)),k1_funct_4(B,A),F),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k1_scmfsa6a(D)),k1_funct_4(B,A),F)) ) => ( r1_xxreal_0(k1_nat_1(F,1),E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(D,D)),k1_funct_4(B,A),k1_nat_1(F,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k1_scmfsa6a(D)),k1_funct_4(B,A),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k2_scmfsa6a(D,D)),k1_funct_4(B,A),F),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(C,k1_scmfsa6a(D)),k1_funct_4(B,A),F)) ) ) ) ) )).
fof(s2_nat_1__e4_21__armstrng,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( ( ~ r1_xxreal_0(k5_numbers,A) => k1_funct_1(k1_binari_3(k5_numbers,k5_series_1(2,A)),k1_nat_1(A,1)) = k7_margrel1 ) & ! [B] : ( v7_ordinal1(B) => ( ( ~ r1_xxreal_0(B,A) => k1_funct_1(k1_binari_3(B,k5_series_1(2,A)),k1_nat_1(A,1)) = k7_margrel1 ) => ( ~ r1_xxreal_0(k1_nat_1(B,1),A) => k1_funct_1(k1_binari_3(k1_nat_1(B,1),k5_series_1(2,A)),k1_nat_1(A,1)) = k7_margrel1 ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) => k1_funct_1(k1_binari_3(B,k5_series_1(2,A)),k1_nat_1(A,1)) = k7_margrel1 ) ) ) ) )).
fof(s2_nat_1__e4_21__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k2_bcialg_6(A,k2_bcialg_1(A,B),k5_numbers) = k2_bcialg_1(A,k2_bcialg_6(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k2_bcialg_6(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k2_bcialg_6(A,B,C)) => k2_bcialg_6(A,k2_bcialg_1(A,B),k1_nat_1(C,1)) = k2_bcialg_1(A,k2_bcialg_6(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k2_bcialg_6(A,B,C)) ) ) ) )).
fof(s2_nat_1__e4_21__sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k8_nat_1(k2_numbers,k10_comseq_3(A),k5_numbers) = k2_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(k7_sin_cos(A)),k5_numbers),k8_nat_1(k2_numbers,A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k2_numbers,k10_comseq_3(A),B) = k2_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(k7_sin_cos(A)),B),k8_nat_1(k2_numbers,A,B)) => k8_nat_1(k2_numbers,k10_comseq_3(A),k1_nat_1(B,1)) = k2_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(k7_sin_cos(A)),k1_nat_1(B,1)),k8_nat_1(k2_numbers,A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,k10_comseq_3(A),B) = k2_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(k7_sin_cos(A)),B),k8_nat_1(k2_numbers,A,B)) ) ) ) )).
fof(s2_nat_1__e4_22_1_2__real_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k8_nat_1(k4_ordinal1,k1_real_3(C,B),A),k8_nat_1(k4_ordinal1,k1_real_3(C,B),k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( ~ r1_xxreal_0(D,A) & r1_xxreal_0(k8_nat_1(k4_ordinal1,k1_real_3(C,B),A),k8_nat_1(k4_ordinal1,k1_real_3(C,B),D)) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(D,1),A) & r1_xxreal_0(k8_nat_1(k4_ordinal1,k1_real_3(C,B),A),k8_nat_1(k4_ordinal1,k1_real_3(C,B),k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,A) & r1_xxreal_0(k8_nat_1(k4_ordinal1,k1_real_3(C,B),A),k8_nat_1(k4_ordinal1,k1_real_3(C,B),D)) ) ) ) ) )).
fof(s2_nat_1__e4_22_1__prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k1_funct_1(k2_prob_3(A,k3_prob_3(A,B)),k5_numbers) = k1_funct_1(k2_prob_3(A,B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(k2_prob_3(A,k3_prob_3(A,B)),C) = k1_funct_1(k2_prob_3(A,B),C) => k1_funct_1(k2_prob_3(A,k3_prob_3(A,B)),k1_nat_1(C,1)) = k1_funct_1(k2_prob_3(A,B),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k2_prob_3(A,k3_prob_3(A,B)),C) = k1_funct_1(k2_prob_3(A,B),C) ) ) ) )).
fof(s2_nat_1__e4_22__clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_normsp_0(A,k1_bhsp_4(A,B),k5_numbers) = k3_rlvect_1(A,k1_normsp_0(A,k1_bhsp_4(A,k4_lopban_4(A,B)),k5_numbers),k1_normsp_0(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k1_normsp_0(A,k1_bhsp_4(A,B),C) = k3_rlvect_1(A,k1_normsp_0(A,k1_bhsp_4(A,k4_lopban_4(A,B)),C),k1_normsp_0(A,B,C)) => k1_normsp_0(A,k1_bhsp_4(A,B),k1_nat_1(C,1)) = k3_rlvect_1(A,k1_normsp_0(A,k1_bhsp_4(A,k4_lopban_4(A,B)),k1_nat_1(C,1)),k1_normsp_0(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,k1_bhsp_4(A,B),C) = k3_rlvect_1(A,k1_normsp_0(A,k1_bhsp_4(A,k4_lopban_4(A,B)),C),k1_normsp_0(A,B,C)) ) ) ) )).
fof(s2_nat_1__e4_22__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => ( ( k1_flang_3(A,B,k2_xcmplx_0(C,k5_numbers)) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k1_flang_3(A,B,k2_xcmplx_0(C,D)) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,D)) => k1_flang_3(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_flang_3(A,B,k2_xcmplx_0(C,D)) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,D)) ) ) ) )).
fof(s2_nat_1__e4_22__kurato_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(B,k5_numbers),C) => r1_tarski(k1_funct_1(A,k2_xcmplx_0(B,k5_numbers)),k1_funct_1(A,B)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k2_xcmplx_0(B,D),C) => r1_tarski(k1_funct_1(A,k2_xcmplx_0(B,D)),k1_funct_1(A,B)) ) => ( r1_xxreal_0(k2_xcmplx_0(B,k1_nat_1(D,1)),C) => r1_tarski(k1_funct_1(A,k2_xcmplx_0(B,k1_nat_1(D,1))),k1_funct_1(A,B)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_xcmplx_0(B,D),C) => r1_tarski(k1_funct_1(A,k2_xcmplx_0(B,D)),k1_funct_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e4_22__measure2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k5_numbers) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k5_numbers)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => r1_tarski(k1_funct_1(A,D),k1_funct_1(A,C)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_nat_1(C,1)) => r1_tarski(k1_funct_1(A,E),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,C) => r1_tarski(k1_funct_1(A,F),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(s2_nat_1__e4_22__newton,axiom,( ( m1_subset_1(k2_newton(k5_numbers),k4_ordinal1) & ! [A] : ( v7_ordinal1(A) => ( m1_subset_1(k2_newton(A),k4_ordinal1) => m1_subset_1(k2_newton(k1_nat_1(A,1)),k4_ordinal1) ) ) ) => ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_newton(A),k4_ordinal1) ) )).
fof(s2_nat_1__e4_22__prob_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),k5_numbers) = k1_prob_2(A,k9_setfam_1(A),B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),C) = k1_prob_2(A,k9_setfam_1(A),B,C) => k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),k1_nat_1(C,1)) = k1_prob_2(A,k9_setfam_1(A),B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),C) = k1_prob_2(A,k9_setfam_1(A),B,C) ) ) ) )).
fof(s2_nat_1__e4_22__scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(A,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) ) => ( ( ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(F,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmpds_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(F,k2_scmpds_2(k1_funct_1(A,C),D))),k5_numbers) & ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(H,E) => k1_funct_1(F,H) = k1_funct_1(A,H) ) ) & k1_funct_1(F,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),F,G) & r2_scmpds_6(k1_scmpds_8(C,D,B),F,G) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(A,C),D))),I) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,E) => k1_funct_1(J,L) = k1_funct_1(A,L) ) ) & k1_funct_1(J,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),J,K) & r2_scmpds_6(k1_scmpds_8(C,D,B),J,K) ) ) ) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(M,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,k4_ordinal1) & v5_relat_1(N,u1_compos_1(k1_scmpds_2)) & v1_funct_1(N) & v1_partfun1(N,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(M,k2_scmpds_2(k1_funct_1(A,C),D))),k1_nat_1(I,1)) & ! [O] : ( ( v1_ami_2(O) & m1_subset_1(O,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(O,E) => k1_funct_1(M,O) = k1_funct_1(A,O) ) ) & k1_funct_1(M,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),M,N) & r2_scmpds_6(k1_scmpds_8(C,D,B),M,N) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,u1_struct_0(k1_scmpds_2)) & v1_funct_1(P) & v5_funct_1(P,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(P,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(P,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,k4_ordinal1) & v5_relat_1(Q,u1_compos_1(k1_scmpds_2)) & v1_funct_1(Q) & v1_partfun1(Q,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(P,k2_scmpds_2(k1_funct_1(A,C),D))),I) & ! [R] : ( ( v1_ami_2(R) & m1_subset_1(R,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(R,E) => k1_funct_1(P,R) = k1_funct_1(A,R) ) ) & k1_funct_1(P,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),P,Q) & r2_scmpds_6(k1_scmpds_8(C,D,B),P,Q) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_22__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k5_numbers,k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(k5_numbers)))) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(A,D) => r1_xxreal_0(D,k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(D)))) ) => ( ~ r1_xxreal_0(A,k1_nat_1(D,1)) => r1_xxreal_0(k1_nat_1(D,1),k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(k1_nat_1(D,1))))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(A,D) => r1_xxreal_0(D,k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(D)))) ) ) ) ) )).
fof(s2_nat_1__e4_22__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(G,u1_struct_0(C)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k5_numbers,1)),H) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k5_numbers,1)),H),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),J) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),J),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k1_nat_1(I,1),1)),K) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k1_nat_1(I,1),1)),K),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),L) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),L),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e4_23_1__rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => ( r1_xxreal_0(k5_numbers,B) | r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,k5_numbers)) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => ( r1_xxreal_0(C,D) | r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(A,C)) ) ) ) ) => ( r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(A)) => ( r1_xxreal_0(k1_nat_1(C,1),E) | r1_xxreal_0(k1_funct_1(A,E),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(A)) => ( r1_xxreal_0(C,F) | r1_xxreal_0(k1_funct_1(A,F),k1_funct_1(A,C)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_23__fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k1_funct_1(k4_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),k5_numbers) = k3_xboole_0(k1_funct_1(k4_fintopo3(A,B),k5_numbers),k1_funct_1(k4_fintopo3(A,C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k4_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),D) = k3_xboole_0(k1_funct_1(k4_fintopo3(A,B),D),k1_funct_1(k4_fintopo3(A,C),D)) => k1_funct_1(k4_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),k1_nat_1(D,1)) = k3_xboole_0(k1_funct_1(k4_fintopo3(A,B),k1_nat_1(D,1)),k1_funct_1(k4_fintopo3(A,C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k4_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),D) = k3_xboole_0(k1_funct_1(k4_fintopo3(A,B),D),k1_funct_1(k4_fintopo3(A,C),D)) ) ) ) )).
fof(s2_nat_1__e4_23__flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ( ( k6_flang_1(A,B,k1_flang_3(A,B,k5_numbers)) = k6_flang_1(A,k1_flang_3(A,B,k5_numbers),B) & ! [C] : ( v7_ordinal1(C) => ( k6_flang_1(A,B,k1_flang_3(A,B,C)) = k6_flang_1(A,k1_flang_3(A,B,C),B) => k6_flang_1(A,B,k1_flang_3(A,B,k1_nat_1(C,1))) = k6_flang_1(A,k1_flang_3(A,B,k1_nat_1(C,1)),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,B,k1_flang_3(A,B,C)) = k6_flang_1(A,k1_flang_3(A,B,C),B) ) ) ) )).
fof(s2_nat_1__e4_23__nat_3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( k21_rvsum_1(k2_nat_3(A,k5_numbers)) = k1_newton(k21_rvsum_1(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k21_rvsum_1(k2_nat_3(A,B)) = k1_newton(k21_rvsum_1(A),B) => k21_rvsum_1(k2_nat_3(A,k1_nat_1(B,1))) = k1_newton(k21_rvsum_1(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k21_rvsum_1(k2_nat_3(A,B)) = k1_newton(k21_rvsum_1(A),B) ) ) ) )).
fof(s2_nat_1__e4_23__normsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k2_xcmplx_0(C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k2_xcmplx_0(C,D)) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k2_xcmplx_0(C,D)) ) ) ) )).
fof(s2_nat_1__e4_23__numeral2,axiom,( ( ? [A] : ( v7_ordinal1(A) & A = k6_xcmplx_0(k1_newton(10,k3_xcmplx_0(2,k5_numbers)),1) & r1_nat_d(11,A) ) & ! [B] : ( v7_ordinal1(B) => ( ? [C] : ( v7_ordinal1(C) & C = k6_xcmplx_0(k1_newton(10,k3_xcmplx_0(2,B)),1) & r1_nat_d(11,C) ) => ? [D] : ( v7_ordinal1(D) & D = k6_xcmplx_0(k1_newton(10,k3_xcmplx_0(2,k1_nat_1(B,1))),1) & r1_nat_d(11,D) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ? [E] : ( v7_ordinal1(E) & E = k6_xcmplx_0(k1_newton(10,k3_xcmplx_0(2,B)),1) & r1_nat_d(11,E) ) ) )).
fof(s2_nat_1__e4_23__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( k4_card_1(k22_pre_poly(A,E)) = k5_numbers => k1_polynom2(A,k11_pre_poly(A,E,C),B,D) = k8_group_1(B,k1_polynom2(A,E,B,D),k1_polynom2(A,C,B,D)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( k4_card_1(k22_pre_poly(A,G)) = F => k1_polynom2(A,k11_pre_poly(A,G,C),B,D) = k8_group_1(B,k1_polynom2(A,G,B,D),k1_polynom2(A,C,B,D)) ) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & v4_valued_0(H) & v2_pre_poly(H) ) => ( k4_card_1(k22_pre_poly(A,H)) = k1_nat_1(F,1) => k1_polynom2(A,k11_pre_poly(A,H,C),B,D) = k8_group_1(B,k1_polynom2(A,H,B,D),k1_polynom2(A,C,B,D)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,A) & v1_funct_1(I) & v1_partfun1(I,A) & v4_valued_0(I) & v2_pre_poly(I) ) => ( k4_card_1(k22_pre_poly(A,I)) = F => k1_polynom2(A,k11_pre_poly(A,I,C),B,D) = k8_group_1(B,k1_polynom2(A,I,B,D),k1_polynom2(A,C,B,D)) ) ) ) ) ) )).
fof(s2_nat_1__e4_23__rfinseq,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( k3_finseq_1(A) = k5_numbers => ( k3_finseq_1(A) = k5_numbers | k18_rvsum_1(k3_rfinseq(A)) = k1_funct_1(A,1) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( m2_finseq_1(C,k1_numbers) => ( k3_finseq_1(C) = B => ( k3_finseq_1(C) = k5_numbers | k18_rvsum_1(k3_rfinseq(C)) = k1_funct_1(C,1) ) ) ) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( k3_finseq_1(D) = k1_nat_1(B,1) => ( k3_finseq_1(D) = k5_numbers | k18_rvsum_1(k3_rfinseq(D)) = k1_funct_1(D,1) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( k3_finseq_1(E) = B => ( k3_finseq_1(E) = k5_numbers | k18_rvsum_1(k3_rfinseq(E)) = k1_funct_1(E,1) ) ) ) ) )).
fof(s2_nat_1__e4_24_1__taylor_2,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k7_xcmplx_0(k1_newton(k9_complex1(B),k5_numbers),k2_newton(k5_numbers)),k7_xcmplx_0(k1_newton(A,k5_numbers),k2_newton(k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k7_xcmplx_0(k1_newton(k9_complex1(B),C),k2_newton(C)),k7_xcmplx_0(k1_newton(A,C),k2_newton(C))) => r1_xxreal_0(k7_xcmplx_0(k1_newton(k9_complex1(B),k1_nat_1(C,1)),k2_newton(k1_nat_1(C,1))),k7_xcmplx_0(k1_newton(A,k1_nat_1(C,1)),k2_newton(k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k7_xcmplx_0(k1_newton(k9_complex1(B),C),k2_newton(C)),k7_xcmplx_0(k1_newton(A,C),k2_newton(C))) ) ) ) )).
fof(s2_nat_1__e4_24__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_algstr_1(A) & v3_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ( k5_binom(A,B,k2_xcmplx_0(k5_numbers,C)) = k1_algstr_0(A,k5_binom(A,B,k5_numbers),k5_binom(A,B,C)) & ! [D] : ( v7_ordinal1(D) => ( k5_binom(A,B,k2_xcmplx_0(D,C)) = k1_algstr_0(A,k5_binom(A,B,D),k5_binom(A,B,C)) => k5_binom(A,B,k2_xcmplx_0(k1_nat_1(D,1),C)) = k1_algstr_0(A,k5_binom(A,B,k1_nat_1(D,1)),k5_binom(A,B,C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k5_binom(A,B,k2_xcmplx_0(D,C)) = k1_algstr_0(A,k5_binom(A,B,D),k5_binom(A,B,C)) ) ) ) )).
fof(s2_nat_1__e4_24__fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(B,k1_funct_1(k2_fintopo3(A,B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(B,k1_funct_1(k2_fintopo3(A,B),C)) => r1_tarski(B,k1_funct_1(k2_fintopo3(A,B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(B,k1_funct_1(k2_fintopo3(A,B),C)) ) ) ) )).
fof(s2_nat_1__e4_24__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => ( ( k6_flang_1(A,k7_flang_1(A,B,k5_numbers),k1_flang_3(A,B,C)) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k6_flang_1(A,k7_flang_1(A,B,D),k1_flang_3(A,B,C)) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,D)) => k6_flang_1(A,k7_flang_1(A,B,k1_nat_1(D,1)),k1_flang_3(A,B,C)) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k6_flang_1(A,k7_flang_1(A,B,D),k1_flang_3(A,B,C)) = k6_flang_1(A,k1_flang_3(A,B,C),k7_flang_1(A,B,D)) ) ) ) )).
fof(s2_nat_1__e4_24__newton,axiom,( ( ~ r1_xxreal_0(k2_newton(k5_numbers),k5_numbers) & ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k2_newton(A),k5_numbers) => ~ r1_xxreal_0(k2_newton(k1_nat_1(A,1)),k5_numbers) ) ) ) => ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k2_newton(A),k5_numbers) ) )).
fof(s2_nat_1__e4_24__numeral2,axiom,( ( ? [A] : ( v7_ordinal1(A) & A = k1_nat_1(k11_newton(10,k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),1) & r1_nat_d(11,A) ) & ! [B] : ( v7_ordinal1(B) => ( ? [C] : ( v7_ordinal1(C) & C = k1_nat_1(k11_newton(10,k1_nat_1(k3_xcmplx_0(2,B),1)),1) & r1_nat_d(11,C) ) => ? [D] : ( v7_ordinal1(D) & D = k1_nat_1(k11_newton(10,k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),1) & r1_nat_d(11,D) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ? [E] : ( v7_ordinal1(E) & E = k1_nat_1(k11_newton(10,k1_nat_1(k3_xcmplx_0(2,B),1)),1) & r1_nat_d(11,E) ) ) )).
fof(s2_nat_1__e4_24__scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B,k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,E)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B,k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,E)) ) ) ) )).
fof(s2_nat_1__e4_25_1_1__ltlaxio2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_hilbert1,k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( ( ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ( k3_finseq_1(B) = k5_numbers => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,B)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,B))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,B)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,B)))))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_hilbert1) => ( k3_finseq_1(D) = C => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(D),k3_finseq_1(k2_ltlaxio2(D)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,D)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,D))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,D)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,D)))))) ) ) => ! [E] : ( m2_finseq_1(E,k1_hilbert1) => ( k3_finseq_1(E) = k1_nat_1(C,1) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(E),k3_finseq_1(k2_ltlaxio2(E)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,E)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,E))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,E)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,E)))))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_finseq_1(F,k1_hilbert1) => ( k3_finseq_1(F) = C => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(F),k3_finseq_1(k2_ltlaxio2(F)))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,F)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,1,F))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(A),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,F)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,1,F)))))) ) ) ) ) ) )).
fof(s2_nat_1__e4_25__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ( k6_binom(A,B,k2_xcmplx_0(C,k5_numbers)) = k1_algstr_0(A,k6_binom(A,B,C),k6_binom(A,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k6_binom(A,B,k2_xcmplx_0(C,D)) = k1_algstr_0(A,k6_binom(A,B,C),k6_binom(A,B,D)) => k6_binom(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))) = k1_algstr_0(A,k6_binom(A,B,C),k6_binom(A,B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k6_binom(A,B,k2_xcmplx_0(C,D)) = k1_algstr_0(A,k6_binom(A,B,C),k6_binom(A,B,D)) ) ) ) )).
fof(s2_nat_1__e4_25__fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(k1_funct_1(k4_fintopo3(A,B),k5_numbers),B) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k1_funct_1(k4_fintopo3(A,B),C),B) => r1_tarski(k1_funct_1(k4_fintopo3(A,B),k1_nat_1(C,1)),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_funct_1(k4_fintopo3(A,B),C),B) ) ) ) )).
fof(s2_nat_1__e4_25__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( k6_flang_1(A,k1_flang_2(A,B,C,D),k1_flang_3(A,B,k5_numbers)) = k6_flang_1(A,k1_flang_3(A,B,k5_numbers),k1_flang_2(A,B,C,D)) & ! [E] : ( v7_ordinal1(E) => ( k6_flang_1(A,k1_flang_2(A,B,C,D),k1_flang_3(A,B,E)) = k6_flang_1(A,k1_flang_3(A,B,E),k1_flang_2(A,B,C,D)) => k6_flang_1(A,k1_flang_2(A,B,C,D),k1_flang_3(A,B,k1_nat_1(E,1))) = k6_flang_1(A,k1_flang_3(A,B,k1_nat_1(E,1)),k1_flang_2(A,B,C,D)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k6_flang_1(A,k1_flang_2(A,B,C,D),k1_flang_3(A,B,E)) = k6_flang_1(A,k1_flang_3(A,B,E),k1_flang_2(A,B,C,D)) ) ) ) )).
fof(s2_nat_1__e4_25__polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( k2_polynom8(A,k5_struct_0(A),k5_numbers) = k5_struct_0(A) & ! [B] : ( v7_ordinal1(B) => ( k2_polynom8(A,k5_struct_0(A),B) = k5_struct_0(A) => k2_polynom8(A,k5_struct_0(A),k1_nat_1(B,1)) = k5_struct_0(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k2_polynom8(A,k5_struct_0(A),B) = k5_struct_0(A) ) ) ) )).
fof(s2_nat_1__e4_25__sin_cos,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( ( k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(k5_complex1))),k5_numbers) = A & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(k5_complex1))),B) = A => k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(k5_complex1))),k1_nat_1(B,1)) = A ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(k5_complex1))),B) = A ) ) ) )).
fof(s2_nat_1__e4_26__binom,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v1_algstr_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k5_binom(A,B,k5_numbers) = k6_binom(A,B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k5_binom(A,B,C) = k6_binom(A,B,C) => k5_binom(A,B,k1_nat_1(C,1)) = k6_binom(A,B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k5_binom(A,B,C) = k6_binom(A,B,C) ) ) ) )).
fof(s2_nat_1__e4_26__clopban3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_xcmplx_0(C) ) => ( ( k1_normsp_0(A,k1_bhsp_4(A,k6_clvect_1(A,B,C)),k5_numbers) = k1_normsp_0(A,k6_clvect_1(A,k1_bhsp_4(A,B),C),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_normsp_0(A,k1_bhsp_4(A,k6_clvect_1(A,B,C)),D) = k1_normsp_0(A,k6_clvect_1(A,k1_bhsp_4(A,B),C),D) => k1_normsp_0(A,k1_bhsp_4(A,k6_clvect_1(A,B,C)),k1_nat_1(D,1)) = k1_normsp_0(A,k6_clvect_1(A,k1_bhsp_4(A,B),C),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,k1_bhsp_4(A,k6_clvect_1(A,B,C)),D) = k1_normsp_0(A,k6_clvect_1(A,k1_bhsp_4(A,B),C),D) ) ) ) )).
fof(s2_nat_1__e4_26__lopban_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_xreal_0(C) ) => ( ( k1_normsp_0(A,k1_bhsp_4(A,k4_normsp_1(A,B,C)),k5_numbers) = k1_normsp_0(A,k4_normsp_1(A,k1_bhsp_4(A,B),C),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_normsp_0(A,k1_bhsp_4(A,k4_normsp_1(A,B,C)),D) = k1_normsp_0(A,k4_normsp_1(A,k1_bhsp_4(A,B),C),D) => k1_normsp_0(A,k1_bhsp_4(A,k4_normsp_1(A,B,C)),k1_nat_1(D,1)) = k1_normsp_0(A,k4_normsp_1(A,k1_bhsp_4(A,B),C),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,k1_bhsp_4(A,k4_normsp_1(A,B,C)),D) = k1_normsp_0(A,k4_normsp_1(A,k1_bhsp_4(A,B),C),D) ) ) ) )).
fof(s2_nat_1__e4_26__polynom5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k2_polynom4(A,k3_polynom5(A,B,k5_numbers),C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_polynom4(A,B,C),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k2_polynom4(A,k3_polynom5(A,B,D),C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_polynom4(A,B,C),D) => k2_polynom4(A,k3_polynom5(A,B,k1_nat_1(D,1)),C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_polynom4(A,B,C),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k2_polynom4(A,k3_polynom5(A,B,D),C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_polynom4(A,B,C),D) ) ) ) )).
fof(s2_nat_1__e4_27_1__taylor_2,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) = k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(B)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,C),1)) = k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(B)),C) => k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(C,1)),1)) = k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(B)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,C),1)) = k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(B)),C) ) ) ) )).
fof(s2_nat_1__e4_27__binom,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k5_binom(A,B,k5_numbers) = k6_binom(A,B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k5_binom(A,B,C) = k6_binom(A,B,C) => k5_binom(A,B,k1_nat_1(C,1)) = k6_binom(A,B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k5_binom(A,B,C) = k6_binom(A,B,C) ) ) ) )).
fof(s2_nat_1__e4_27__facirc_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( v1_relat_1(k3_msafree2(k3_facirc_2(k5_numbers,A,B))) & ! [C] : ( v7_ordinal1(C) => ( v1_relat_1(k3_msafree2(k3_facirc_2(C,A,B))) => v1_relat_1(k3_msafree2(k3_facirc_2(k1_nat_1(C,1),A,B))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_relat_1(k3_msafree2(k3_facirc_2(C,A,B))) ) ) ) )).
fof(s2_nat_1__e4_27__mesfunc7,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ( ( r1_xxreal_0(k5_numbers,k4_mesfunc7(A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k4_mesfunc7(A,B)) => r1_xxreal_0(k5_numbers,k4_mesfunc7(A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k4_mesfunc7(A,B)) ) ) ) )).
fof(s2_nat_1__e4_27__simplex0,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(A,k5_numbers) => ! [B] : ( ( v6_ordinal1(B) & v1_finset_1(B) ) => ( ( v1_setfam_1(B) & k1_card_1(k3_tarski(B)) = A ) => r1_ordinal1(k4_card_1(B),k1_card_1(k3_tarski(B))) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => ! [E] : ( ( v6_ordinal1(E) & v1_finset_1(E) ) => ( ( v1_setfam_1(E) & k1_card_1(k3_tarski(E)) = D ) => r1_ordinal1(k4_card_1(E),k1_card_1(k3_tarski(E))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k1_nat_1(C,1)) => ! [G] : ( ( v6_ordinal1(G) & v1_finset_1(G) ) => ( ( v1_setfam_1(G) & k1_card_1(k3_tarski(G)) = F ) => r1_ordinal1(k4_card_1(G),k1_card_1(k3_tarski(G))) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,C) => ! [I] : ( ( v6_ordinal1(I) & v1_finset_1(I) ) => ( ( v1_setfam_1(I) & k1_card_1(k3_tarski(I)) = H ) => r1_ordinal1(k4_card_1(I),k1_card_1(k3_tarski(I))) ) ) ) ) ) )).
fof(s2_nat_1__e4_28__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v1_algstr_1(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k6_algstr_0(A,k5_binom(A,B,k5_numbers),C) = k5_binom(A,k6_algstr_0(A,B,C),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k6_algstr_0(A,k5_binom(A,B,D),C) = k5_binom(A,k6_algstr_0(A,B,C),D) => k6_algstr_0(A,k5_binom(A,B,k1_nat_1(D,1)),C) = k5_binom(A,k6_algstr_0(A,B,C),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k6_algstr_0(A,k5_binom(A,B,D),C) = k5_binom(A,k6_algstr_0(A,B,C),D) ) ) ) )).
fof(s2_nat_1__e4_28__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & m1_subset_1(B,k4_ordinal1) ) => ( ( k1_binop_1(k3_dblseq_2(A),k5_numbers,B) = k8_nat_1(k1_numbers,k3_series_1(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k3_dblseq_2(A),C,B) = k8_nat_1(k1_numbers,k3_series_1(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),C) => k1_binop_1(k3_dblseq_2(A),k1_nat_1(C,1),B) = k8_nat_1(k1_numbers,k3_series_1(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k3_dblseq_2(A),C,B) = k8_nat_1(k1_numbers,k3_series_1(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),C) ) ) ) )).
fof(s2_nat_1__e4_28__fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k3_subset_1(u1_struct_0(A),k5_fintopo3(A,k3_subset_1(u1_struct_0(A),B),k5_numbers)) = k3_fintopo3(A,B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k3_subset_1(u1_struct_0(A),k5_fintopo3(A,k3_subset_1(u1_struct_0(A),B),C)) = k3_fintopo3(A,B,C) => k3_subset_1(u1_struct_0(A),k5_fintopo3(A,k3_subset_1(u1_struct_0(A),B),k1_nat_1(C,1))) = k3_fintopo3(A,B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_subset_1(u1_struct_0(A),k5_fintopo3(A,k3_subset_1(u1_struct_0(A),B),C)) = k3_fintopo3(A,B,C) ) ) ) )).
fof(s2_nat_1__e4_28__lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k5_numbers) = k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k4_lopban_4(A,B)),k5_numbers),k8_nat_1(u1_struct_0(A),B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C) = k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k4_lopban_4(A,B)),C),k8_nat_1(u1_struct_0(A),B,C)) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k1_nat_1(C,1)) = k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k4_lopban_4(A,B)),k1_nat_1(C,1)),k8_nat_1(u1_struct_0(A),B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C) = k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k4_lopban_4(A,B)),C),k8_nat_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(s2_nat_1__e4_28__matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,k4_matrix_7(A,k4_finseq_5(u1_struct_0(A),B)))) = k1_group_1(A) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( r1_xxreal_0(k3_finseq_1(D),C) => k3_group_4(A,k8_finseq_1(u1_struct_0(A),D,k4_matrix_7(A,k4_finseq_5(u1_struct_0(A),D)))) = k1_group_1(A) ) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( r1_xxreal_0(k3_finseq_1(E),k1_nat_1(C,1)) => k3_group_4(A,k8_finseq_1(u1_struct_0(A),E,k4_matrix_7(A,k4_finseq_5(u1_struct_0(A),E)))) = k1_group_1(A) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( r1_xxreal_0(k3_finseq_1(F),C) => k3_group_4(A,k8_finseq_1(u1_struct_0(A),F,k4_matrix_7(A,k4_finseq_5(u1_struct_0(A),F)))) = k1_group_1(A) ) ) ) ) ) )).
fof(s2_nat_1__e4_29_1_1_1_2_3_1_2_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v7_ordinal1(E) & v7_ordinal1(F) & m1_subset_1(G,k4_ordinal1) ) => ( ( ( ( r2_tarski(k5_numbers,k4_finseq_1(B)) & r1_xxreal_0(F,k5_numbers) & r1_xxreal_0(k5_numbers,E) ) => ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,k6_subset_1(k1_funct_1(B,k5_numbers),k1_funct_1(B,G))) => r2_tarski(H,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( ( r2_tarski(I,k4_finseq_1(B)) & r1_xxreal_0(F,I) & r1_xxreal_0(I,E) ) => ! [J] : ( m1_subset_1(J,A) => ( r2_tarski(J,k6_subset_1(k1_funct_1(B,I),k1_funct_1(B,G))) => r2_tarski(J,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) => ( ( r2_tarski(k1_nat_1(I,1),k4_finseq_1(B)) & r1_xxreal_0(F,k1_nat_1(I,1)) & r1_xxreal_0(k1_nat_1(I,1),E) ) => ! [K] : ( m1_subset_1(K,A) => ( r2_tarski(K,k6_subset_1(k1_funct_1(B,k1_nat_1(I,1)),k1_funct_1(B,G))) => r2_tarski(K,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k4_finseq_1(B)) & r1_xxreal_0(F,I) & r1_xxreal_0(I,E) ) => ! [L] : ( m1_subset_1(L,A) => ( r2_tarski(L,k6_subset_1(k1_funct_1(B,I),k1_funct_1(B,G))) => r2_tarski(L,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_29__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_algstr_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k6_algstr_0(A,C,k5_binom(A,B,k5_numbers)) = k6_binom(A,k6_algstr_0(A,C,B),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k6_algstr_0(A,C,k5_binom(A,B,D)) = k6_binom(A,k6_algstr_0(A,C,B),D) => k6_algstr_0(A,C,k5_binom(A,B,k1_nat_1(D,1))) = k6_binom(A,k6_algstr_0(A,C,B),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k6_algstr_0(A,C,k5_binom(A,B,D)) = k6_binom(A,k6_algstr_0(A,C,B),D) ) ) ) )).
fof(s2_nat_1__e4_29__cohsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ~ ( r1_tarski(B,k3_tarski(A)) & v1_finset_1(B) & k1_card_1(B) = k5_numbers & ! [C] : ~ ( r2_tarski(C,A) & r1_tarski(B,C) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ~ ( r1_tarski(E,k3_tarski(A)) & v1_finset_1(E) & k1_card_1(E) = D & ! [F] : ~ ( r2_tarski(F,A) & r1_tarski(E,F) ) ) => ! [G] : ~ ( r1_tarski(G,k3_tarski(A)) & v1_finset_1(G) & k1_card_1(G) = k1_nat_1(D,1) & ! [H] : ~ ( r2_tarski(H,A) & r1_tarski(G,H) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ~ ( r1_tarski(I,k3_tarski(A)) & v1_finset_1(I) & k1_card_1(I) = D & ! [J] : ~ ( r2_tarski(J,A) & r1_tarski(I,J) ) ) ) ) ) )).
fof(s2_nat_1__e4_29__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) ) => ( ( r2_relset_1(k6_glib_000(A),k2_xboole_0(k6_domain_1(k4_ordinal1,1),k7_glib_000(A)),k4_glib_005(A,B,k5_glib_005(A,B,C),k39_glib_000(k5_glib_005(A,B,C))),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(k39_glib_000(k5_glib_005(A,B,C)),k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r2_relset_1(k6_glib_000(A),k2_xboole_0(k6_domain_1(k4_ordinal1,1),k7_glib_000(A)),k4_glib_005(A,B,k5_glib_005(A,B,C),k39_glib_000(k5_glib_005(A,B,C))),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(k39_glib_000(k5_glib_005(A,B,C)),D))) => r2_relset_1(k6_glib_000(A),k2_xboole_0(k6_domain_1(k4_ordinal1,1),k7_glib_000(A)),k4_glib_005(A,B,k5_glib_005(A,B,C),k39_glib_000(k5_glib_005(A,B,C))),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(k39_glib_000(k5_glib_005(A,B,C)),k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_relset_1(k6_glib_000(A),k2_xboole_0(k6_domain_1(k4_ordinal1,1),k7_glib_000(A)),k4_glib_005(A,B,k5_glib_005(A,B,C),k39_glib_000(k5_glib_005(A,B,C))),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(k39_glib_000(k5_glib_005(A,B,C)),D))) ) ) ) )).
fof(s2_nat_1__e4_2_1__seqm_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),k5_numbers)),k8_nat_1(k1_numbers,A,B)) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C)),k8_nat_1(k1_numbers,A,B)) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(C,1))),k8_nat_1(k1_numbers,A,B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C)),k8_nat_1(k1_numbers,A,B)) ) ) ) )).
fof(s2_nat_1__e4_2__rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(D,E) = k3_rlvect_1(A,k7_partfun1(u1_struct_0(A),B,E),k7_partfun1(u1_struct_0(A),C,E)) ) ) ) => k4_rlvect_1(A,D) = k3_rlvect_1(A,k4_rlvect_1(A,B),k4_rlvect_1(A,C)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( ( k3_finseq_1(G) = F & k3_finseq_1(G) = k3_finseq_1(H) & k3_finseq_1(G) = k3_finseq_1(I) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k1_relset_1(k4_ordinal1,G)) => k1_funct_1(I,J) = k3_rlvect_1(A,k7_partfun1(u1_struct_0(A),G,J),k7_partfun1(u1_struct_0(A),H,J)) ) ) ) => k4_rlvect_1(A,I) = k3_rlvect_1(A,k4_rlvect_1(A,G),k4_rlvect_1(A,H)) ) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ( ( k3_finseq_1(K) = k1_nat_1(F,1) & k3_finseq_1(K) = k3_finseq_1(L) & k3_finseq_1(K) = k3_finseq_1(M) & ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k1_relset_1(k4_ordinal1,K)) => k1_funct_1(M,N) = k3_rlvect_1(A,k7_partfun1(u1_struct_0(A),K,N),k7_partfun1(u1_struct_0(A),L,N)) ) ) ) => k4_rlvect_1(A,M) = k3_rlvect_1(A,k4_rlvect_1(A,K),k4_rlvect_1(A,L)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) => ( ( k3_finseq_1(O) = F & k3_finseq_1(O) = k3_finseq_1(P) & k3_finseq_1(O) = k3_finseq_1(Q) & ! [R] : ( v7_ordinal1(R) => ( r2_tarski(R,k1_relset_1(k4_ordinal1,O)) => k1_funct_1(Q,R) = k3_rlvect_1(A,k7_partfun1(u1_struct_0(A),O,R),k7_partfun1(u1_struct_0(A),P,R)) ) ) ) => k4_rlvect_1(A,Q) = k3_rlvect_1(A,k4_rlvect_1(A,O),k4_rlvect_1(A,P)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_30__clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clopban3(k1_valued_0(u1_struct_0(A),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( v1_clopban3(k1_valued_0(u1_struct_0(A),B,C),A) => v1_clopban3(k1_valued_0(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_clopban3(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) )).
fof(s2_nat_1__e4_30__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_subset_1(C,u1_struct_0(A),B) ) => ( ( r2_tarski(k5_binom(A,C,k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k5_binom(A,C,D),B) => r2_tarski(k5_binom(A,C,k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_tarski(k5_binom(A,C,D),B) ) ) ) )).
fof(s2_nat_1__e4_30__lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_lopban_3(k1_valued_0(u1_struct_0(A),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( v1_lopban_3(k1_valued_0(u1_struct_0(A),B,C),A) => v1_lopban_3(k1_valued_0(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_lopban_3(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) )).
fof(s2_nat_1__e4_31_1_3__waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) ) => ( ( ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & E = k1_funct_1(k8_funct_7(B,D),C) & F = k1_funct_1(k8_funct_7(B,k2_xcmplx_0(D,k5_numbers)),C) & r3_orders_2(A,E,F) ) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & H = k1_funct_1(k8_funct_7(B,D),C) & I = k1_funct_1(k8_funct_7(B,k2_xcmplx_0(D,G)),C) & r3_orders_2(A,H,I) ) ) => ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & J = k1_funct_1(k8_funct_7(B,D),C) & K = k1_funct_1(k8_funct_7(B,k2_xcmplx_0(D,k1_nat_1(G,1))),C) & r3_orders_2(A,J,K) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & L = k1_funct_1(k8_funct_7(B,D),C) & M = k1_funct_1(k8_funct_7(B,k2_xcmplx_0(D,G)),C) & r3_orders_2(A,L,M) ) ) ) ) ) )).
fof(s2_nat_1__e4_31__flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ( ( k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,k5_numbers)) = k1_flang_3(A,B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,C)) = k1_flang_3(A,B,C) => k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,k1_nat_1(C,1))) = k1_flang_3(A,B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,C)) = k1_flang_3(A,B,C) ) ) ) )).
fof(s2_nat_1__e4_31__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) ) => ( ( ! [D] : ~ ( r2_tarski(D,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k5_numbers))) & ! [E] : ( ( v5_glib_001(E,A) & m3_glib_001(E,A) ) => ~ ( r5_glib_005(A,B,E) & r1_glib_001(A,C,D,E) & r1_tarski(k13_glib_001(A,E),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k5_numbers))) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ~ ( r2_tarski(G,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),F))) & ! [H] : ( ( v5_glib_001(H,A) & m3_glib_001(H,A) ) => ~ ( r5_glib_005(A,B,H) & r1_glib_001(A,C,G,H) & r1_tarski(k13_glib_001(A,H),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),F))) ) ) ) => ! [I] : ~ ( r2_tarski(I,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k1_nat_1(F,1)))) & ! [J] : ( ( v5_glib_001(J,A) & m3_glib_001(J,A) ) => ~ ( r5_glib_005(A,B,J) & r1_glib_001(A,C,I,J) & r1_tarski(k13_glib_001(A,J),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k1_nat_1(F,1)))) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ~ ( r2_tarski(K,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),F))) & ! [L] : ( ( v5_glib_001(L,A) & m3_glib_001(L,A) ) => ~ ( r5_glib_005(A,B,L) & r1_glib_001(A,C,K,L) & r1_tarski(k13_glib_001(A,L),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),F))) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_32_1_1_1_1_1_2_1_1_1_1_2_1_1__finance2,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,k1_numbers) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),k1_nat_1(C,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k5_numbers,A),C)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e4_32_1_1_1_1_1_2_1_1__finance2,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,k1_numbers) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),C)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),k1_nat_1(C,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),C)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e4_32_1_1_1_2_1_2_1_1__finance2,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,k1_numbers) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),C)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),k1_nat_1(C,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k7_finance2(A),C)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e4_32_1_1__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k5_numbers => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(A),B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = C => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(A),D)) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k1_nat_1(C,1) => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(A),E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( F = C => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(A),F)) ) ) ) ) ) )).
fof(s2_nat_1__e4_32_2__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k5_numbers => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = C => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),D)) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k1_nat_1(C,1) => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( F = C => v2_comseq_2(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),F)) ) ) ) ) ) )).
fof(s2_nat_1__e4_32__lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ( ( k1_funct_1(k3_series_1(k5_normsp_0(A,k1_lopban_4(A,k4_struct_0(A)))),k5_numbers) = 1 & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k3_series_1(k5_normsp_0(A,k1_lopban_4(A,k4_struct_0(A)))),B) = 1 => k1_funct_1(k3_series_1(k5_normsp_0(A,k1_lopban_4(A,k4_struct_0(A)))),k1_nat_1(B,1)) = 1 ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k3_series_1(k5_normsp_0(A,k1_lopban_4(A,k4_struct_0(A)))),B) = 1 ) ) ) )).
fof(s2_nat_1__e4_32__pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ ( A != k5_numbers & k5_numbers != k5_numbers & k1_newton(A,k5_numbers) != k3_xcmplx_0(A,k1_newton(A,k7_nat_d(k5_numbers,1))) ) & ! [B] : ( v7_ordinal1(B) => ( ~ ( A != k5_numbers & B != k5_numbers & k1_newton(A,B) != k3_xcmplx_0(A,k1_newton(A,k7_nat_d(B,1))) ) => ~ ( A != k5_numbers & k1_nat_1(B,1) != k5_numbers & k1_newton(A,k1_nat_1(B,1)) != k3_xcmplx_0(A,k1_newton(A,k7_nat_d(k1_nat_1(B,1),1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ ( A != k5_numbers & B != k5_numbers & k1_newton(A,B) != k3_xcmplx_0(A,k1_newton(A,k7_nat_d(B,1))) ) ) ) ) )).
fof(s2_nat_1__e4_32__rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k5_numbers) => ! [C] : ( ( v6_ordinal1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( k1_card_1(k5_setfam_1(u1_struct_0(A),C)) = B & v1_finset_1(k5_setfam_1(u1_struct_0(A),C)) & v1_rlaffin1(k5_setfam_1(u1_struct_0(A),C),A) ) => ( v1_rlaffin1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),C),A) & m1_subset_1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),C),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => ! [F] : ( ( v6_ordinal1(F) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( k1_card_1(k5_setfam_1(u1_struct_0(A),F)) = E & v1_finset_1(k5_setfam_1(u1_struct_0(A),F)) & v1_rlaffin1(k5_setfam_1(u1_struct_0(A),F),A) ) => ( v1_rlaffin1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),F),A) & m1_subset_1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),F),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k1_nat_1(D,1)) => ! [H] : ( ( v6_ordinal1(H) & m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( k1_card_1(k5_setfam_1(u1_struct_0(A),H)) = G & v1_finset_1(k5_setfam_1(u1_struct_0(A),H)) & v1_rlaffin1(k5_setfam_1(u1_struct_0(A),H),A) ) => ( v1_rlaffin1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),H),A) & m1_subset_1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),H),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,D) => ! [J] : ( ( v6_ordinal1(J) & m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( k1_card_1(k5_setfam_1(u1_struct_0(A),J)) = I & v1_finset_1(k5_setfam_1(u1_struct_0(A),J)) & v1_rlaffin1(k5_setfam_1(u1_struct_0(A),J),A) ) => ( v1_rlaffin1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),J),A) & m1_subset_1(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),J),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_33_1_1__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k5_numbers => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(A),B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = C => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(A),D)) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k1_nat_1(C,1) => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(A),E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( F = C => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(A),F)) ) ) ) ) ) )).
fof(s2_nat_1__e4_33_2__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( B = k5_numbers => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),B)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = C => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),D)) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k1_nat_1(C,1) => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),E)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( F = C => v2_comseq_2(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),F)) ) ) ) ) ) )).
fof(s2_nat_1__e4_33__amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( ( r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,C,D,k5_numbers),D) & ! [E] : ( v7_ordinal1(E) => ( r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,C,D,E),D) => r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,C,D,k1_nat_1(E,1)),D) ) ) ) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,C,D,E),D) ) ) ) )).
fof(s2_nat_1__e4_34__newton,axiom,( ( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k3_newton(A,k5_numbers),k4_ordinal1) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => m1_subset_1(k3_newton(C,B),k4_ordinal1) ) => ! [D] : ( v7_ordinal1(D) => m1_subset_1(k3_newton(D,k1_nat_1(B,1)),k4_ordinal1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => m1_subset_1(k3_newton(E,B),k4_ordinal1) ) ) )).
fof(s2_nat_1__e4_35_1_2__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v7_ordinal1(D) ) => ( ( ( k5_numbers != k5_numbers => k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(D,k5_numbers),B),C) = k1_finsop_1(A,k5_finseq_2(A,k5_numbers,k1_finsop_1(A,k5_finseq_2(A,D,B),C)),C) ) & ! [E] : ( v7_ordinal1(E) => ( ( E != k5_numbers => k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(D,E),B),C) = k1_finsop_1(A,k5_finseq_2(A,E,k1_finsop_1(A,k5_finseq_2(A,D,B),C)),C) ) => ( k1_nat_1(E,1) != k5_numbers => k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(D,k1_nat_1(E,1)),B),C) = k1_finsop_1(A,k5_finseq_2(A,k1_nat_1(E,1),k1_finsop_1(A,k5_finseq_2(A,D,B),C)),C) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( E != k5_numbers => k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(D,E),B),C) = k1_finsop_1(A,k5_finseq_2(A,E,k1_finsop_1(A,k5_finseq_2(A,D,B),C)),C) ) ) ) ) )).
fof(s2_nat_1__e4_35__comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k8_nat_1(k2_numbers,A,k5_numbers) = k8_nat_1(k2_numbers,k10_comseq_3(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k2_numbers,A,B) = k8_nat_1(k2_numbers,k10_comseq_3(A),B) => k8_nat_1(k2_numbers,A,k1_nat_1(B,1)) = k8_nat_1(k2_numbers,k10_comseq_3(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,A,B) = k8_nat_1(k2_numbers,k10_comseq_3(A),B) ) ) ) )).
fof(s2_nat_1__e4_35__pepin,axiom,( ( k11_newton(2,k1_nat_1(k5_numbers,1)) = k2_xcmplx_0(k1_newton(2,k5_numbers),k1_newton(2,k5_numbers)) & ! [A] : ( v7_ordinal1(A) => ( k11_newton(2,k1_nat_1(A,1)) = k2_xcmplx_0(k1_newton(2,A),k1_newton(2,A)) => k11_newton(2,k1_nat_1(k1_nat_1(A,1),1)) = k2_xcmplx_0(k1_newton(2,k1_nat_1(A,1)),k1_newton(2,k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k11_newton(2,k1_nat_1(A,1)) = k2_xcmplx_0(k1_newton(2,A),k1_newton(2,A)) ) )).
fof(s2_nat_1__e4_35__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,E)) = k5_numbers => k2_polynom2(A,B,k6_polynom1(A,B,E,C),D) = k3_rlvect_1(B,k2_polynom2(A,B,E,D),k2_polynom2(A,B,C,D)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,G)) = F => k2_polynom2(A,B,k6_polynom1(A,B,G,C),D) = k3_rlvect_1(B,k2_polynom2(A,B,G,D),k2_polynom2(A,B,C,D)) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,H)) = k1_nat_1(F,1) => k2_polynom2(A,B,k6_polynom1(A,B,H,C),D) = k3_rlvect_1(B,k2_polynom2(A,B,H,D),k2_polynom2(A,B,C,D)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(I,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,I)) = F => k2_polynom2(A,B,k6_polynom1(A,B,I,C),D) = k3_rlvect_1(B,k2_polynom2(A,B,I,D),k2_polynom2(A,B,C,D)) ) ) ) ) ) )).
fof(s2_nat_1__e4_36_1_1_1_2_3_1_2_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v7_ordinal1(E) & m1_subset_1(F,k4_ordinal1) & v7_ordinal1(G) ) => ( ( ( ( r2_tarski(k5_numbers,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(E,k5_numbers) & r1_xxreal_0(k5_numbers,G) ) => ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,k6_subset_1(k1_funct_1(k2_rearran1(A,B),k5_numbers),k1_funct_1(k2_rearran1(A,B),F))) => r2_tarski(H,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( ( r2_tarski(I,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(E,I) & r1_xxreal_0(I,G) ) => ! [J] : ( m1_subset_1(J,A) => ( r2_tarski(J,k6_subset_1(k1_funct_1(k2_rearran1(A,B),I),k1_funct_1(k2_rearran1(A,B),F))) => r2_tarski(J,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) => ( ( r2_tarski(k1_nat_1(I,1),k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(E,k1_nat_1(I,1)) & r1_xxreal_0(k1_nat_1(I,1),G) ) => ! [K] : ( m1_subset_1(K,A) => ( r2_tarski(K,k6_subset_1(k1_funct_1(k2_rearran1(A,B),k1_nat_1(I,1)),k1_funct_1(k2_rearran1(A,B),F))) => r2_tarski(K,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(E,I) & r1_xxreal_0(I,G) ) => ! [L] : ( m1_subset_1(L,A) => ( r2_tarski(L,k6_subset_1(k1_funct_1(k2_rearran1(A,B),I),k1_funct_1(k2_rearran1(A,B),F))) => r2_tarski(L,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_36__comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k8_nat_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),B) = k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) => k8_nat_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),B) = k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) ) ) ) )).
fof(s2_nat_1__e4_36__gfacirc2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( v1_relat_1(k3_msafree2(k5_gfacirc2(k5_numbers,A,B))) & ! [C] : ( v7_ordinal1(C) => ( v1_relat_1(k3_msafree2(k5_gfacirc2(C,A,B))) => v1_relat_1(k3_msafree2(k5_gfacirc2(k1_nat_1(C,1),A,B))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v1_relat_1(k3_msafree2(k5_gfacirc2(C,A,B))) ) ) ) )).
fof(s2_nat_1__e4_36__measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_measure8(C,A,B) ) => ( ( r2_tarski(k8_nat_1(k9_setfam_1(A),k2_prob_3(A,C),k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k8_nat_1(k9_setfam_1(A),k2_prob_3(A,C),D),B) => r2_tarski(k8_nat_1(k9_setfam_1(A),k2_prob_3(A,C),k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_tarski(k8_nat_1(k9_setfam_1(A),k2_prob_3(A,C),D),B) ) ) ) )).
fof(s2_nat_1__e4_36__ordinal5,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k12_ordinal2(A,k5_numbers) = k1_newton(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k12_ordinal2(A,B) = k1_newton(A,B) => k12_ordinal2(A,k1_nat_1(B,1)) = k1_newton(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k12_ordinal2(A,B) = k1_newton(A,B) ) ) ) )).
fof(s2_nat_1__e4_37_1__matrix14,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( r1_xxreal_0(1,k5_numbers) => ( r1_xxreal_0(B,k5_numbers) | k8_nat_1(u1_struct_0(A),C,k5_numbers) = k4_struct_0(A) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) => ( r1_xxreal_0(B,D) | k8_nat_1(u1_struct_0(A),C,D) = k4_struct_0(A) ) ) => ( r1_xxreal_0(1,k1_nat_1(D,1)) => ( r1_xxreal_0(B,k1_nat_1(D,1)) | k8_nat_1(u1_struct_0(A),C,k1_nat_1(D,1)) = k4_struct_0(A) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(B,D) | k8_nat_1(u1_struct_0(A),C,D) = k4_struct_0(A) ) ) ) ) ) )).
fof(s2_nat_1__e4_37_2__matrix14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( ( r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) ) => k8_nat_1(u1_struct_0(A),E,k5_numbers) = C ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(D,F) & r1_xxreal_0(F,k3_finseq_1(B)) ) => k8_nat_1(u1_struct_0(A),E,F) = C ) => ( ( r1_xxreal_0(D,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(B)) ) => k8_nat_1(u1_struct_0(A),E,k1_nat_1(F,1)) = C ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(D,F) & r1_xxreal_0(F,k3_finseq_1(B)) ) => k8_nat_1(u1_struct_0(A),E,F) = C ) ) ) ) )).
fof(s2_nat_1__e4_37__bhsp_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C)) => r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e4_37__matrprob,axiom,( ( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(A) = k5_numbers => k5_matrprob(A) = k5_matrprob(k4_matrix_0(k1_numbers,A)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(C) = B => k5_matrprob(C) = k5_matrprob(k4_matrix_0(k1_numbers,C)) ) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(D) = k1_nat_1(B,1) => k5_matrprob(D) = k5_matrprob(k4_matrix_0(k1_numbers,D)) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(E) = B => k5_matrprob(E) = k5_matrprob(k4_matrix_0(k1_numbers,E)) ) ) ) )).
fof(s2_nat_1__e4_37__measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_measure8(C,A,B) ) => ( ( r2_tarski(k8_nat_1(k9_setfam_1(A),k3_prob_3(A,C),k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k8_nat_1(k9_setfam_1(A),k3_prob_3(A,C),D),B) => r2_tarski(k8_nat_1(k9_setfam_1(A),k3_prob_3(A,C),k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_tarski(k8_nat_1(k9_setfam_1(A),k3_prob_3(A,C),D),B) ) ) ) )).
fof(s2_nat_1__e4_38_1__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k5_numbers,k1_binop_1(k2_dblseq_2(A),B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k1_binop_1(k2_dblseq_2(A),B,C)) => r1_xxreal_0(k5_numbers,k1_binop_1(k2_dblseq_2(A),B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k5_numbers,k1_binop_1(k2_dblseq_2(A),B,C)) ) ) ) )).
fof(s2_nat_1__e4_38__clvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,k1_bhsp_4(A,B),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C)) => r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,k1_bhsp_4(A,B),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k11_csspace(A,k1_normsp_0(A,k1_bhsp_4(A,B),C)),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e4_38__fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k1_funct_1(k6_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),k5_numbers) = k2_xboole_0(k1_funct_1(k6_fintopo3(A,B),k5_numbers),k1_funct_1(k6_fintopo3(A,C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k6_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),D) = k2_xboole_0(k1_funct_1(k6_fintopo3(A,B),D),k1_funct_1(k6_fintopo3(A,C),D)) => k1_funct_1(k6_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),k1_nat_1(D,1)) = k2_xboole_0(k1_funct_1(k6_fintopo3(A,B),k1_nat_1(D,1)),k1_funct_1(k6_fintopo3(A,C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k6_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C)),D) = k2_xboole_0(k1_funct_1(k6_fintopo3(A,B),D),k1_funct_1(k6_fintopo3(A,C),D)) ) ) ) )).
fof(s2_nat_1__e4_38__gr_cy_3,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v7_ordinal1(B) ) => ( ( k5_int_1(k1_newton(A,k5_numbers),B) = k5_int_1(k1_newton(k5_int_1(A,B),k5_numbers),B) & ! [C] : ( v7_ordinal1(C) => ( k5_int_1(k1_newton(A,C),B) = k5_int_1(k1_newton(k5_int_1(A,B),C),B) => k5_int_1(k1_newton(A,k1_nat_1(C,1)),B) = k5_int_1(k1_newton(k5_int_1(A,B),k1_nat_1(C,1)),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k5_int_1(k1_newton(A,C),B) = k5_int_1(k1_newton(k5_int_1(A,B),C),B) ) ) ) )).
fof(s2_nat_1__e4_38__huffman1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) & m1_trees_4(C,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) => k3_tarski(k10_huffman1(k1_funct_1(C,k1_nat_1(k5_numbers,1)))) = a_2_1_huffman1(A,B) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k3_finseq_1(C),D) => k3_tarski(k10_huffman1(k1_funct_1(C,k1_nat_1(D,1)))) = a_2_1_huffman1(A,B) ) => ( ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(D,1)) => k3_tarski(k10_huffman1(k1_funct_1(C,k1_nat_1(k1_nat_1(D,1),1)))) = a_2_1_huffman1(A,B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_finseq_1(C),D) => k3_tarski(k10_huffman1(k1_funct_1(C,k1_nat_1(D,1)))) = a_2_1_huffman1(A,B) ) ) ) ) )).
fof(s2_nat_1__e4_39__comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_xcmplx_0(B) ) => ( ( k8_nat_1(k2_numbers,k10_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B)),k5_numbers) = k8_nat_1(k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A),B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k2_numbers,k10_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B)),C) = k8_nat_1(k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A),B),C) => k8_nat_1(k2_numbers,k10_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B)),k1_nat_1(C,1)) = k8_nat_1(k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A),B),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,k10_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B)),C) = k8_nat_1(k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A),B),C) ) ) ) )).
fof(s2_nat_1__e4_39__fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(B,k1_funct_1(k6_fintopo3(A,B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(B,k1_funct_1(k6_fintopo3(A,B),C)) => r1_tarski(B,k1_funct_1(k6_fintopo3(A,B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(B,k1_funct_1(k6_fintopo3(A,B),C)) ) ) ) )).
fof(s2_nat_1__e4_39__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( k6_flang_1(A,k7_flang_1(A,B,k5_numbers),B) = k6_flang_1(A,B,k7_flang_1(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k6_flang_1(A,k7_flang_1(A,B,C),B) = k6_flang_1(A,B,k7_flang_1(A,B,C)) => k6_flang_1(A,k7_flang_1(A,B,k1_nat_1(C,1)),B) = k6_flang_1(A,B,k7_flang_1(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,k7_flang_1(A,B,C),B) = k6_flang_1(A,B,k7_flang_1(A,B,C)) ) ) ) )).
fof(s2_nat_1__e4_39__ordinal5,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ r1_xxreal_0(k1_ordinal5(A,k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k1_ordinal5(A,B),B) => ~ r1_xxreal_0(k1_ordinal5(A,k1_nat_1(B,1)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k1_ordinal5(A,B),B) ) ) ) )).
fof(s2_nat_1__e4_39__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,E)) = k5_numbers => k2_polynom2(A,B,k11_polynom1(A,B,E,C),D) = k8_group_1(B,k2_polynom2(A,B,E,D),k2_polynom2(A,B,C,D)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,G)) = F => k2_polynom2(A,B,k11_polynom1(A,B,G,C),D) = k8_group_1(B,k2_polynom2(A,B,G,D),k2_polynom2(A,B,C,D)) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,H)) = k1_nat_1(F,1) => k2_polynom2(A,B,k11_polynom1(A,B,H,C),D) = k8_group_1(B,k2_polynom2(A,B,H,D),k2_polynom2(A,B,C,D)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(I,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,I)) = F => k2_polynom2(A,B,k11_polynom1(A,B,I,C),D) = k8_group_1(B,k2_polynom2(A,B,I,D),k2_polynom2(A,B,C,D)) ) ) ) ) ) )).
fof(s2_nat_1__e4_3_1_1_2__taxonom1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) => k1_funct_1(A,k5_numbers) = k1_funct_1(A,1) ) & ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) => k1_funct_1(A,B) = k1_funct_1(A,1) ) => ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) => k1_funct_1(A,k1_nat_1(B,1)) = k1_funct_1(A,1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => k1_funct_1(A,B) = k1_funct_1(A,1) ) ) ) ) )).
fof(s2_nat_1__e4_3_1_1__kolmog01,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( ( k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),k5_numbers) = k1_xboole_0 | k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),k5_numbers) = A ) & ! [C] : ( v7_ordinal1(C) => ( ( k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),C) = k1_xboole_0 | k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),C) = A ) => ( k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),k1_nat_1(C,1)) = k1_xboole_0 | k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),k1_nat_1(C,1)) = A ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),C) = k1_xboole_0 | k1_prob_2(A,k9_setfam_1(A),k2_prob_3(A,B),C) = A ) ) ) ) )).
fof(s2_nat_1__e4_3_1__seqm_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C))) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(k1_nat_1(B,1),C))) ) ) ) )).
fof(s2_nat_1__e4_3__bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v8_bcialg_1(B) & l2_bcialg_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( ( ( r1_xxreal_0(k5_numbers,A) => k1_bcialg_2(B,k4_struct_0(B),C,k5_numbers) = k4_struct_0(B) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,A) => k1_bcialg_2(B,k4_struct_0(B),C,D) = k4_struct_0(B) ) => ( r1_xxreal_0(k1_nat_1(D,1),A) => k1_bcialg_2(B,k4_struct_0(B),C,k1_nat_1(D,1)) = k4_struct_0(B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,A) => k1_bcialg_2(B,k4_struct_0(B),C,D) = k4_struct_0(B) ) ) ) ) )).
fof(s2_nat_1__e4_40_1_2__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,A) => k8_nat_1(k1_numbers,k3_real_3(B),k5_numbers) = k5_numbers ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(C,A) => k8_nat_1(k1_numbers,k3_real_3(B),C) = k5_numbers ) => ( ~ r1_xxreal_0(k1_nat_1(C,1),A) => k8_nat_1(k1_numbers,k3_real_3(B),k1_nat_1(C,1)) = k5_numbers ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,A) => k8_nat_1(k1_numbers,k3_real_3(B),C) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e4_40__bcialg_4,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( C = k5_numbers & r1_xxreal_0(C,A) ) => k6_bcialg_4(B,k4_struct_0(B),k1_nat_1(C,1)) = k4_struct_0(B) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ( E = D & r1_xxreal_0(E,A) ) => k6_bcialg_4(B,k4_struct_0(B),k1_nat_1(E,1)) = k4_struct_0(B) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( F = k1_nat_1(D,1) & r1_xxreal_0(F,A) ) => k6_bcialg_4(B,k4_struct_0(B),k1_nat_1(F,1)) = k4_struct_0(B) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ( ( G = D & r1_xxreal_0(G,A) ) => k6_bcialg_4(B,k4_struct_0(B),k1_nat_1(G,1)) = k4_struct_0(B) ) ) ) ) ) )).
fof(s2_nat_1__e4_40__comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(A),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(A),B)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B)) => r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(A),k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(A),B)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B)) ) ) ) )).
fof(s2_nat_1__e4_40__huffman1,axiom,( ! [A] : ( m1_trees_4(A,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(B)) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(B)) => ( ( r2_tarski(B,k1_funct_1(A,k5_numbers)) & r2_tarski(C,k6_subset_1(k9_xtuple_0(B),k3_trees_1(k9_xtuple_0(B)))) & D = k8_finseq_1(k4_ordinal1,C,k14_trees_3(k5_numbers)) & E = k8_finseq_1(k4_ordinal1,C,k14_trees_3(1)) ) => k7_huffman1(B,C) = k2_xcmplx_0(k7_huffman1(B,D),k7_huffman1(B,E)) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(A)) ) => ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,k1_huffman1) & v1_funct_1(G) & v1_finset_1(G) & v3_trees_2(G) & v2_bintree1(G) ) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(G)) => ! [I] : ( m1_trees_1(I,k9_xtuple_0(G)) => ! [J] : ( m1_trees_1(J,k9_xtuple_0(G)) => ( ( r2_tarski(G,k1_funct_1(A,F)) & r2_tarski(H,k6_subset_1(k9_xtuple_0(G),k3_trees_1(k9_xtuple_0(G)))) & I = k8_finseq_1(k4_ordinal1,H,k14_trees_3(k5_numbers)) & J = k8_finseq_1(k4_ordinal1,H,k14_trees_3(1)) ) => k7_huffman1(G,H) = k2_xcmplx_0(k7_huffman1(G,I),k7_huffman1(G,J)) ) ) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(A)) ) => ! [K] : ( ( v1_relat_1(K) & v5_relat_1(K,k1_huffman1) & v1_funct_1(K) & v1_finset_1(K) & v3_trees_2(K) & v2_bintree1(K) ) => ! [L] : ( m1_trees_1(L,k9_xtuple_0(K)) => ! [M] : ( m1_trees_1(M,k9_xtuple_0(K)) => ! [N] : ( m1_trees_1(N,k9_xtuple_0(K)) => ( ( r2_tarski(K,k1_funct_1(A,k1_nat_1(F,1))) & r2_tarski(L,k6_subset_1(k9_xtuple_0(K),k3_trees_1(k9_xtuple_0(K)))) & M = k8_finseq_1(k4_ordinal1,L,k14_trees_3(k5_numbers)) & N = k8_finseq_1(k4_ordinal1,L,k14_trees_3(1)) ) => k7_huffman1(K,L) = k2_xcmplx_0(k7_huffman1(K,M),k7_huffman1(K,N)) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(A)) ) => ! [O] : ( ( v1_relat_1(O) & v5_relat_1(O,k1_huffman1) & v1_funct_1(O) & v1_finset_1(O) & v3_trees_2(O) & v2_bintree1(O) ) => ! [P] : ( m1_trees_1(P,k9_xtuple_0(O)) => ! [Q] : ( m1_trees_1(Q,k9_xtuple_0(O)) => ! [R] : ( m1_trees_1(R,k9_xtuple_0(O)) => ( ( r2_tarski(O,k1_funct_1(A,F)) & r2_tarski(P,k6_subset_1(k9_xtuple_0(O),k3_trees_1(k9_xtuple_0(O)))) & Q = k8_finseq_1(k4_ordinal1,P,k14_trees_3(k5_numbers)) & R = k8_finseq_1(k4_ordinal1,P,k14_trees_3(1)) ) => k7_huffman1(O,P) = k2_xcmplx_0(k7_huffman1(O,Q),k7_huffman1(O,R)) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_40__series_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(B) & v2_xxreal_0(B) ) => ( ( r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,B),2),k5_numbers),k7_xcmplx_0(k2_xcmplx_0(k1_newton(A,k5_numbers),k1_newton(B,k5_numbers)),2)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,B),2),C),k7_xcmplx_0(k2_xcmplx_0(k1_newton(A,C),k1_newton(B,C)),2)) => r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,B),2),k1_nat_1(C,1)),k7_xcmplx_0(k2_xcmplx_0(k1_newton(A,k1_nat_1(C,1)),k1_newton(B,k1_nat_1(C,1))),2)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_newton(k7_xcmplx_0(k2_xcmplx_0(A,B),2),C),k7_xcmplx_0(k2_xcmplx_0(k1_newton(A,C),k1_newton(B,C)),2)) ) ) ) )).
fof(s2_nat_1__e4_40__taylor_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( ( r1_taylor_1(A,k5_numbers,B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_tarski(k1_rcomp_1(C,D),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k5_numbers),k1_rcomp_1(C,D))) & r1_taylor_1(A,k1_nat_1(k5_numbers,1),k2_rcomp_1(C,D)) ) => ( r1_xxreal_0(D,C) | ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,E) = B & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(E,F) = k6_xcmplx_0(k1_funct_1(A,D),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,F,D)),k5_numbers)) ) ) ) => ( k1_funct_1(E,D) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,E,k1_rcomp_1(C,D))) & r2_fdiff_1(E,k2_rcomp_1(C,D)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k2_rcomp_1(C,D)) => k1_fdiff_1(E,F) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(C,D)),k1_nat_1(k5_numbers,1)),F),k1_newton(k6_xcmplx_0(D,F),k5_numbers)),k2_newton(k5_numbers))) ) ) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_taylor_1(A,G,B) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( r1_tarski(k1_rcomp_1(H,I),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),G),k1_rcomp_1(H,I))) & r1_taylor_1(A,k1_nat_1(G,1),k2_rcomp_1(H,I)) ) => ( r1_xxreal_0(I,H) | ! [J] : ( ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,J) = B & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,B) => k1_funct_1(J,K) = k6_xcmplx_0(k1_funct_1(A,I),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,K,I)),G)) ) ) ) => ( k1_funct_1(J,I) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,J,k1_rcomp_1(H,I))) & r2_fdiff_1(J,k2_rcomp_1(H,I)) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,k2_rcomp_1(H,I)) => k1_fdiff_1(J,K) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(H,I)),k1_nat_1(G,1)),K),k1_newton(k6_xcmplx_0(I,K),G)),k2_newton(G))) ) ) ) ) ) ) ) ) ) ) => ( r1_taylor_1(A,k1_nat_1(G,1),B) => ! [L] : ( v1_xreal_0(L) => ! [M] : ( v1_xreal_0(M) => ( ( r1_tarski(k1_rcomp_1(L,M),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k1_nat_1(G,1)),k1_rcomp_1(L,M))) & r1_taylor_1(A,k1_nat_1(k1_nat_1(G,1),1),k2_rcomp_1(L,M)) ) => ( r1_xxreal_0(M,L) | ! [N] : ( ( v1_funct_1(N) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,N) = B & ! [O] : ( v1_xreal_0(O) => ( r2_hidden(O,B) => k1_funct_1(N,O) = k6_xcmplx_0(k1_funct_1(A,M),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,O,M)),k1_nat_1(G,1))) ) ) ) => ( k1_funct_1(N,M) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,N,k1_rcomp_1(L,M))) & r2_fdiff_1(N,k2_rcomp_1(L,M)) & ! [O] : ( v1_xreal_0(O) => ( r2_hidden(O,k2_rcomp_1(L,M)) => k1_fdiff_1(N,O) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(L,M)),k1_nat_1(k1_nat_1(G,1),1)),O),k1_newton(k6_xcmplx_0(M,O),k1_nat_1(G,1))),k2_newton(k1_nat_1(G,1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_taylor_1(A,G,B) => ! [P] : ( v1_xreal_0(P) => ! [Q] : ( v1_xreal_0(Q) => ( ( r1_tarski(k1_rcomp_1(P,Q),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),G),k1_rcomp_1(P,Q))) & r1_taylor_1(A,k1_nat_1(G,1),k2_rcomp_1(P,Q)) ) => ( r1_xxreal_0(Q,P) | ! [R] : ( ( v1_funct_1(R) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,R) = B & ! [S] : ( v1_xreal_0(S) => ( r2_hidden(S,B) => k1_funct_1(R,S) = k6_xcmplx_0(k1_funct_1(A,Q),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,S,Q)),G)) ) ) ) => ( k1_funct_1(R,Q) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,R,k1_rcomp_1(P,Q))) & r2_fdiff_1(R,k2_rcomp_1(P,Q)) & ! [S] : ( v1_xreal_0(S) => ( r2_hidden(S,k2_rcomp_1(P,Q)) => k1_fdiff_1(R,S) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(P,Q)),k1_nat_1(G,1)),S),k1_newton(k6_xcmplx_0(Q,S),G)),k2_newton(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_41__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & v7_ordinal1(C) ) => ( ( r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k2_xcmplx_0(C,k5_numbers)),k3_fuzzy_4(A,A,A,k4_lfuzzy_1(A,B,C),k4_lfuzzy_1(A,B,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k2_xcmplx_0(C,D)),k3_fuzzy_4(A,A,A,k4_lfuzzy_1(A,B,C),k4_lfuzzy_1(A,B,D))) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))),k3_fuzzy_4(A,A,A,k4_lfuzzy_1(A,B,C),k4_lfuzzy_1(A,B,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k2_xcmplx_0(C,D)),k3_fuzzy_4(A,A,A,k4_lfuzzy_1(A,B,C),k4_lfuzzy_1(A,B,D))) ) ) ) )).
fof(s2_nat_1__e4_41__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(G,u1_struct_0(C)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k5_numbers,1)),H) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k5_numbers,1)),H),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k5_numbers,1)),H)) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),J) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),J),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),J)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(k1_nat_1(I,1),1)),K) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(k1_nat_1(I,1),1)),K),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(k1_nat_1(I,1),1)),K)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),L) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),L),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,F),k1_nat_1(I,1)),L)) ) ) ) ) )).
fof(s2_nat_1__e4_42__aofa_000,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ~ ( r2_tarski(C,k9_aofa_000(A,B,k1_nat_1(k5_numbers,1))) & ~ r2_tarski(C,B) & ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [E] : ( m2_finseq_2(E,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( C = k1_funct_1(k2_pua2mss1(A,D),E) & r2_tarski(E,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,D))) & r1_tarski(k2_relset_1(u1_struct_0(A),E),k9_aofa_000(A,B,k5_numbers)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ~ ( r2_tarski(G,k9_aofa_000(A,B,k1_nat_1(F,1))) & ~ r2_tarski(G,B) & ! [H] : ( m2_subset_1(H,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [I] : ( m2_finseq_2(I,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( G = k1_funct_1(k2_pua2mss1(A,H),I) & r2_tarski(I,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,H))) & r1_tarski(k2_relset_1(u1_struct_0(A),I),k9_aofa_000(A,B,F)) ) ) ) ) => ! [J] : ~ ( r2_tarski(J,k9_aofa_000(A,B,k1_nat_1(k1_nat_1(F,1),1))) & ~ r2_tarski(J,B) & ! [K] : ( m2_subset_1(K,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [L] : ( m2_finseq_2(L,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( J = k1_funct_1(k2_pua2mss1(A,K),L) & r2_tarski(L,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,K))) & r1_tarski(k2_relset_1(u1_struct_0(A),L),k9_aofa_000(A,B,k1_nat_1(F,1))) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ~ ( r2_tarski(M,k9_aofa_000(A,B,k1_nat_1(F,1))) & ~ r2_tarski(M,B) & ! [N] : ( m2_subset_1(N,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [O] : ( m2_finseq_2(O,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( M = k1_funct_1(k2_pua2mss1(A,N),O) & r2_tarski(O,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,N))) & r1_tarski(k2_relset_1(u1_struct_0(A),O),k9_aofa_000(A,B,F)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_42__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),C,k5_numbers),k1_binop_1(k4_dblseq_2(B),C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),C,D),k1_binop_1(k4_dblseq_2(B),C,D)) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),C,k1_nat_1(D,1)),k1_binop_1(k4_dblseq_2(B),C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),C,D),k1_binop_1(k4_dblseq_2(B),C,D)) ) ) ) )).
fof(s2_nat_1__e4_42__facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) ) => ( ( k1_funct_1(k5_facirc_1(A,B,C,k5_numbers),D) = k1_funct_1(C,D) & ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k5_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) => k1_funct_1(k5_facirc_1(A,B,C,k1_nat_1(E,1)),D) = k1_funct_1(C,D) ) ) ) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k5_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) ) ) ) )).
fof(s2_nat_1__e4_42__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & v7_ordinal1(C) ) => ( ( r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k3_xcmplx_0(k5_numbers,C)),k4_lfuzzy_1(A,k4_lfuzzy_1(A,B,C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k3_xcmplx_0(D,C)),k4_lfuzzy_1(A,k4_lfuzzy_1(A,B,C),D)) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k3_xcmplx_0(k1_nat_1(D,1),C)),k4_lfuzzy_1(A,k4_lfuzzy_1(A,B,C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k3_xcmplx_0(D,C)),k4_lfuzzy_1(A,k4_lfuzzy_1(A,B,C),D)) ) ) ) )).
fof(s2_nat_1__e4_42__uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k12_polynom3(A,k3_polynom5(A,C,B),k3_polynom5(A,C,k5_numbers)),k3_polynom5(A,C,k2_xcmplx_0(B,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k12_polynom3(A,k3_polynom5(A,C,B),k3_polynom5(A,C,D)),k3_polynom5(A,C,k2_xcmplx_0(B,D))) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k12_polynom3(A,k3_polynom5(A,C,B),k3_polynom5(A,C,k1_nat_1(D,1))),k3_polynom5(A,C,k2_xcmplx_0(B,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k12_polynom3(A,k3_polynom5(A,C,B),k3_polynom5(A,C,D)),k3_polynom5(A,C,k2_xcmplx_0(B,D))) ) ) ) )).
fof(s2_nat_1__e4_43__fintopo3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k1_funct_1(k8_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),k5_numbers) = k3_xboole_0(k1_funct_1(k8_fintopo3(A,B),k5_numbers),k1_funct_1(k8_fintopo3(A,C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k8_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),D) = k3_xboole_0(k1_funct_1(k8_fintopo3(A,B),D),k1_funct_1(k8_fintopo3(A,C),D)) => k1_funct_1(k8_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),k1_nat_1(D,1)) = k3_xboole_0(k1_funct_1(k8_fintopo3(A,B),k1_nat_1(D,1)),k1_funct_1(k8_fintopo3(A,C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k8_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)),D) = k3_xboole_0(k1_funct_1(k8_fintopo3(A,B),D),k1_funct_1(k8_fintopo3(A,C),D)) ) ) ) )).
fof(s2_nat_1__e4_43__pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ( ~ r1_xxreal_0(k5_numbers,k5_numbers) => k4_nat_d(k1_newton(A,k5_numbers),A) = k5_numbers ) & ! [B] : ( v7_ordinal1(B) => ( ( ~ r1_xxreal_0(B,k5_numbers) => k4_nat_d(k1_newton(A,B),A) = k5_numbers ) => ( ~ r1_xxreal_0(k1_nat_1(B,1),k5_numbers) => k4_nat_d(k1_newton(A,k1_nat_1(B,1)),A) = k5_numbers ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k4_nat_d(k1_newton(A,B),A) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e4_43__pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,B,k5_numbers),k6_pua2mss1(A)) & v1_partfun1(k8_pua2mss1(A,B,k5_numbers),u1_struct_0(A)) & v3_relat_2(k8_pua2mss1(A,B,k5_numbers)) & v8_relat_2(k8_pua2mss1(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,B,C),k6_pua2mss1(A)) & v1_partfun1(k8_pua2mss1(A,B,C),u1_struct_0(A)) & v3_relat_2(k8_pua2mss1(A,B,C)) & v8_relat_2(k8_pua2mss1(A,B,C)) ) => ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,B,k1_nat_1(C,1)),k6_pua2mss1(A)) & v1_partfun1(k8_pua2mss1(A,B,k1_nat_1(C,1)),u1_struct_0(A)) & v3_relat_2(k8_pua2mss1(A,B,k1_nat_1(C,1))) & v8_relat_2(k8_pua2mss1(A,B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,B,C),k6_pua2mss1(A)) & v1_partfun1(k8_pua2mss1(A,B,C),u1_struct_0(A)) & v3_relat_2(k8_pua2mss1(A,B,C)) & v8_relat_2(k8_pua2mss1(A,B,C)) ) ) ) ) )).
fof(s2_nat_1__e4_44__bcialg_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,A) ) => k1_bcialg_2(B,C,D,E) = k1_bcialg_1(B,C,k6_bcialg_4(B,D,E)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,A) ) => k1_bcialg_2(B,C,D,G) = k1_bcialg_1(B,C,k6_bcialg_4(B,D,G)) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,A) ) => k1_bcialg_2(B,C,D,H) = k1_bcialg_1(B,C,k6_bcialg_4(B,D,H)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,A) ) => k1_bcialg_2(B,C,D,I) = k1_bcialg_1(B,C,k6_bcialg_4(B,D,I)) ) ) ) ) ) )).
fof(s2_nat_1__e4_44__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,k3_series_1(A),B)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e4_44__fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(k1_funct_1(k8_fintopo3(A,B),k5_numbers),B) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k1_funct_1(k8_fintopo3(A,B),C),B) => r1_tarski(k1_funct_1(k8_fintopo3(A,B),k1_nat_1(C,1)),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_funct_1(k8_fintopo3(A,B),C),B) ) ) ) )).
fof(s2_nat_1__e4_44__group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k5_group_1(A,k2_group_1(A,B),k5_numbers) = k2_group_1(A,k5_group_1(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k5_group_1(A,k2_group_1(A,B),C) = k2_group_1(A,k5_group_1(A,B,C)) => k5_group_1(A,k2_group_1(A,B),k1_nat_1(C,1)) = k2_group_1(A,k5_group_1(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k5_group_1(A,k2_group_1(A,B),C) = k2_group_1(A,k5_group_1(A,B,C)) ) ) ) )).
fof(s2_nat_1__e4_44__huffman1,axiom,( ! [A] : ( m1_trees_4(A,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( B = k1_funct_1(A,k5_numbers) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( r2_tarski(C,B) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(C)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k1_xtuple_0(k3_trees_2(k1_huffman1,C,D)) => r1_xxreal_0(E,k9_huffman1(B)) ) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(A)) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( G = k1_funct_1(A,F) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k1_huffman1) & v1_funct_1(H) & v1_finset_1(H) & v3_trees_2(H) & v2_bintree1(H) ) => ( r2_tarski(H,G) => ! [I] : ( m1_trees_1(I,k9_xtuple_0(H)) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( J = k1_xtuple_0(k3_trees_2(k1_huffman1,H,I)) => r1_xxreal_0(J,k9_huffman1(G)) ) ) ) ) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(A)) ) => ! [K] : ( ( ~ v1_xboole_0(K) & v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( K = k1_funct_1(A,k1_nat_1(F,1)) => ! [L] : ( ( v1_relat_1(L) & v5_relat_1(L,k1_huffman1) & v1_funct_1(L) & v1_finset_1(L) & v3_trees_2(L) & v2_bintree1(L) ) => ( r2_tarski(L,K) => ! [M] : ( m1_trees_1(M,k9_xtuple_0(L)) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( N = k1_xtuple_0(k3_trees_2(k1_huffman1,L,M)) => r1_xxreal_0(N,k9_huffman1(K)) ) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(A)) ) => ! [O] : ( ( ~ v1_xboole_0(O) & v1_finset_1(O) & m1_subset_1(O,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( O = k1_funct_1(A,F) => ! [P] : ( ( v1_relat_1(P) & v5_relat_1(P,k1_huffman1) & v1_funct_1(P) & v1_finset_1(P) & v3_trees_2(P) & v2_bintree1(P) ) => ( r2_tarski(P,O) => ! [Q] : ( m1_trees_1(Q,k9_xtuple_0(P)) => ! [R] : ( m1_subset_1(R,k4_ordinal1) => ( R = k1_xtuple_0(k3_trees_2(k1_huffman1,P,Q)) => r1_xxreal_0(R,k9_huffman1(O)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_44__int_6,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ~ ( k3_finseq_1(A) = k5_numbers & r1_xxreal_0(k19_rvsum_1(A),k5_numbers) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_numbers) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finseq_1(C) & v1_partfun3(C) & v1_int_6(C) ) => ~ ( k3_finseq_1(C) = B & r1_xxreal_0(k19_rvsum_1(C),k5_numbers) ) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_numbers) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finseq_1(D) & v1_partfun3(D) & v1_int_6(D) ) => ~ ( k3_finseq_1(D) = k1_nat_1(B,1) & r1_xxreal_0(k19_rvsum_1(D),k5_numbers) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_numbers) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finseq_1(E) & v1_partfun3(E) & v1_int_6(E) ) => ~ ( k3_finseq_1(E) = B & r1_xxreal_0(k19_rvsum_1(E),k5_numbers) ) ) ) )).
fof(s2_nat_1__e4_44__matrlin,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ( ( ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( k3_finseq_1(C) = k5_numbers => k4_rlvect_1(B,k6_matrlin(B,C)) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),C))) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ( k3_finseq_1(E) = D => k4_rlvect_1(B,k6_matrlin(B,E)) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),E))) ) ) => ! [F] : ( ( v1_matrix_0(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ( k3_finseq_1(F) = k1_nat_1(D,1) => k4_rlvect_1(B,k6_matrlin(B,F)) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),F))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( ( v1_matrix_0(G) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ( k3_finseq_1(G) = D => k4_rlvect_1(B,k6_matrlin(B,G)) = k4_rlvect_1(B,k6_matrlin(B,k4_matrix_0(u1_struct_0(B),G))) ) ) ) ) ) )).
fof(s2_nat_1__e4_44__polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k2_algseq_1(A,B),k5_numbers),k2_algseq_1(A,k1_polynom5(A,B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k2_algseq_1(A,B),C),k2_algseq_1(A,k1_polynom5(A,B,C))) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k2_algseq_1(A,B),k1_nat_1(C,1)),k2_algseq_1(A,k1_polynom5(A,B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k2_algseq_1(A,B),C),k2_algseq_1(A,k1_polynom5(A,B,C))) ) ) ) )).
fof(s2_nat_1__e4_44__scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(E,k5_numbers) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k5_numbers)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),E)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(E,F) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),E)) ) => ( r1_xxreal_0(E,k1_nat_1(F,1)) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k1_nat_1(F,1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),E)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(E,F) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),E)) ) ) ) ) )).
fof(s2_nat_1__e4_45_1_1__ltlaxio1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_hilbert1) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) & m1_subset_1(C,k4_ordinal1) ) => ( ( k1_funct_1(k11_ltlaxio1(B),k4_tarski(k2_xcmplx_0(C,k5_numbers),A)) = 1 & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k11_ltlaxio1(B),k4_tarski(k2_xcmplx_0(C,D),A)) = 1 => k1_funct_1(k11_ltlaxio1(B),k4_tarski(k2_xcmplx_0(C,k1_nat_1(D,1)),A)) = 1 ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k11_ltlaxio1(B),k4_tarski(k2_xcmplx_0(C,D),A)) = 1 ) ) ) )).
fof(s2_nat_1__e4_45__abcmiz_a,axiom,( ( ? [A] : ( m2_finseq_2(A,k2_abcmiz_1,k4_abcmiz_1) & k3_finseq_1(A) = k5_numbers ) & ! [B] : ( v7_ordinal1(B) => ( ? [C] : ( m2_finseq_2(C,k2_abcmiz_1,k4_abcmiz_1) & k3_finseq_1(C) = B ) => ? [D] : ( m2_finseq_2(D,k2_abcmiz_1,k4_abcmiz_1) & k3_finseq_1(D) = k1_nat_1(B,1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ? [E] : ( m2_finseq_2(E,k2_abcmiz_1,k4_abcmiz_1) & k3_finseq_1(E) = B ) ) )).
fof(s2_nat_1__e4_45__huffman1,axiom,( ! [A] : ( m1_trees_4(A,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( B = k1_funct_1(A,k5_numbers) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( r2_tarski(C,B) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(C)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k1_xtuple_0(k3_trees_2(k1_huffman1,C,D)) => r1_xxreal_0(E,k9_huffman1(B)) ) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(A)) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( G = k1_funct_1(A,F) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k1_huffman1) & v1_funct_1(H) & v1_finset_1(H) & v3_trees_2(H) & v2_bintree1(H) ) => ( r2_tarski(H,G) => ! [I] : ( m1_trees_1(I,k9_xtuple_0(H)) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( J = k1_xtuple_0(k3_trees_2(k1_huffman1,H,I)) => r1_xxreal_0(J,k9_huffman1(G)) ) ) ) ) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(A)) ) => ! [K] : ( ( ~ v1_xboole_0(K) & v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( K = k1_funct_1(A,k1_nat_1(F,1)) => ! [L] : ( ( v1_relat_1(L) & v5_relat_1(L,k1_huffman1) & v1_funct_1(L) & v1_finset_1(L) & v3_trees_2(L) & v2_bintree1(L) ) => ( r2_tarski(L,K) => ! [M] : ( m1_trees_1(M,k9_xtuple_0(L)) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( N = k1_xtuple_0(k3_trees_2(k1_huffman1,L,M)) => r1_xxreal_0(N,k9_huffman1(K)) ) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(A)) ) => ! [O] : ( ( ~ v1_xboole_0(O) & v1_finset_1(O) & m1_subset_1(O,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( O = k1_funct_1(A,F) => ! [P] : ( ( v1_relat_1(P) & v5_relat_1(P,k1_huffman1) & v1_funct_1(P) & v1_finset_1(P) & v3_trees_2(P) & v2_bintree1(P) ) => ( r2_tarski(P,O) => ! [Q] : ( m1_trees_1(Q,k9_xtuple_0(P)) => ! [R] : ( m1_subset_1(R,k4_ordinal1) => ( R = k1_xtuple_0(k3_trees_2(k1_huffman1,P,Q)) => r1_xxreal_0(R,k9_huffman1(O)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_45__rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,k3_rfunct_3(A,k1_numbers)) => ( k3_finseq_1(C) = k5_numbers => ( k3_finseq_1(C) = k5_numbers | ( r1_rfunct_3(A,k1_numbers,C,B) <=> r2_tarski(B,k1_relset_1(A,k14_rfunct_3(A,C))) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k3_rfunct_3(A,k1_numbers)) => ( k3_finseq_1(E) = D => ( k3_finseq_1(E) = k5_numbers | ( r1_rfunct_3(A,k1_numbers,E,B) <=> r2_tarski(B,k1_relset_1(A,k14_rfunct_3(A,E))) ) ) ) ) => ! [F] : ( m2_finseq_1(F,k3_rfunct_3(A,k1_numbers)) => ( k3_finseq_1(F) = k1_nat_1(D,1) => ( k3_finseq_1(F) = k5_numbers | ( r1_rfunct_3(A,k1_numbers,F,B) <=> r2_tarski(B,k1_relset_1(A,k14_rfunct_3(A,F))) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_finseq_1(G,k3_rfunct_3(A,k1_numbers)) => ( k3_finseq_1(G) = D => ( k3_finseq_1(G) = k5_numbers | ( r1_rfunct_3(A,k1_numbers,G,B) <=> r2_tarski(B,k1_relset_1(A,k14_rfunct_3(A,G))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_45__taylor_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( ( r1_taylor_1(A,k5_numbers,B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_tarski(k1_rcomp_1(C,D),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k5_numbers),k1_rcomp_1(C,D))) & r1_taylor_1(A,k1_nat_1(k5_numbers,1),k2_rcomp_1(C,D)) ) => ( r1_xxreal_0(D,C) | ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,E) = B & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(E,F) = k6_xcmplx_0(k1_funct_1(A,C),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,F,C)),k5_numbers)) ) ) ) => ( k1_funct_1(E,C) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,E,k1_rcomp_1(C,D))) & r2_fdiff_1(E,k2_rcomp_1(C,D)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k2_rcomp_1(C,D)) => k1_fdiff_1(E,F) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(C,D)),k1_nat_1(k5_numbers,1)),F),k1_newton(k6_xcmplx_0(C,F),k5_numbers)),k2_newton(k5_numbers))) ) ) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_taylor_1(A,G,B) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( r1_tarski(k1_rcomp_1(H,I),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),G),k1_rcomp_1(H,I))) & r1_taylor_1(A,k1_nat_1(G,1),k2_rcomp_1(H,I)) ) => ( r1_xxreal_0(I,H) | ! [J] : ( ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,J) = B & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,B) => k1_funct_1(J,K) = k6_xcmplx_0(k1_funct_1(A,H),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,K,H)),G)) ) ) ) => ( k1_funct_1(J,H) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,J,k1_rcomp_1(H,I))) & r2_fdiff_1(J,k2_rcomp_1(H,I)) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,k2_rcomp_1(H,I)) => k1_fdiff_1(J,K) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(H,I)),k1_nat_1(G,1)),K),k1_newton(k6_xcmplx_0(H,K),G)),k2_newton(G))) ) ) ) ) ) ) ) ) ) ) => ( r1_taylor_1(A,k1_nat_1(G,1),B) => ! [L] : ( v1_xreal_0(L) => ! [M] : ( v1_xreal_0(M) => ( ( r1_tarski(k1_rcomp_1(L,M),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k1_nat_1(G,1)),k1_rcomp_1(L,M))) & r1_taylor_1(A,k1_nat_1(k1_nat_1(G,1),1),k2_rcomp_1(L,M)) ) => ( r1_xxreal_0(M,L) | ! [N] : ( ( v1_funct_1(N) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,N) = B & ! [O] : ( v1_xreal_0(O) => ( r2_hidden(O,B) => k1_funct_1(N,O) = k6_xcmplx_0(k1_funct_1(A,L),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,O,L)),k1_nat_1(G,1))) ) ) ) => ( k1_funct_1(N,L) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,N,k1_rcomp_1(L,M))) & r2_fdiff_1(N,k2_rcomp_1(L,M)) & ! [O] : ( v1_xreal_0(O) => ( r2_hidden(O,k2_rcomp_1(L,M)) => k1_fdiff_1(N,O) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(L,M)),k1_nat_1(k1_nat_1(G,1),1)),O),k1_newton(k6_xcmplx_0(L,O),k1_nat_1(G,1))),k2_newton(k1_nat_1(G,1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_taylor_1(A,G,B) => ! [P] : ( v1_xreal_0(P) => ! [Q] : ( v1_xreal_0(Q) => ( ( r1_tarski(k1_rcomp_1(P,Q),B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),G),k1_rcomp_1(P,Q))) & r1_taylor_1(A,k1_nat_1(G,1),k2_rcomp_1(P,Q)) ) => ( r1_xxreal_0(Q,P) | ! [R] : ( ( v1_funct_1(R) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,R) = B & ! [S] : ( v1_xreal_0(S) => ( r2_hidden(S,B) => k1_funct_1(R,S) = k6_xcmplx_0(k1_funct_1(A,P),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,S,P)),G)) ) ) ) => ( k1_funct_1(R,P) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,R,k1_rcomp_1(P,Q))) & r2_fdiff_1(R,k2_rcomp_1(P,Q)) & ! [S] : ( v1_xreal_0(S) => ( r2_hidden(S,k2_rcomp_1(P,Q)) => k1_fdiff_1(R,S) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(P,Q)),k1_nat_1(G,1)),S),k1_newton(k6_xcmplx_0(P,S),G)),k2_newton(G))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_46__comseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v7_ordinal1(C) ) => ( ( ( r1_xxreal_0(k5_numbers,C) => k8_nat_1(k2_numbers,k10_comseq_3(A),k5_numbers) = k8_nat_1(k2_numbers,k10_comseq_3(B),k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,C) => k8_nat_1(k2_numbers,k10_comseq_3(A),D) = k8_nat_1(k2_numbers,k10_comseq_3(B),D) ) => ( r1_xxreal_0(k1_nat_1(D,1),C) => k8_nat_1(k2_numbers,k10_comseq_3(A),k1_nat_1(D,1)) = k8_nat_1(k2_numbers,k10_comseq_3(B),k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => k8_nat_1(k2_numbers,k10_comseq_3(A),D) = k8_nat_1(k2_numbers,k10_comseq_3(B),D) ) ) ) ) )).
fof(s2_nat_1__e4_46__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,k5_numbers)),G) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,k5_numbers)),k3_rlvect_1(C,G,k5_binom(C,F,k5_numbers))) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,H)),I) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,H)),k3_rlvect_1(C,I,k5_binom(C,F,H))) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,k1_nat_1(H,1))),J) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,k1_nat_1(H,1))),k3_rlvect_1(C,J,k5_binom(C,F,k1_nat_1(H,1)))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,H)),K) = k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k3_xcmplx_0(2,H)),k3_rlvect_1(C,K,k5_binom(C,F,H))) ) ) ) ) )).
fof(s2_nat_1__e4_47_1_1__ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v3_clopban1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k1_funct_1(k8_funct_7(B,k5_numbers),C) = C & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k8_funct_7(B,D),C) = C => k1_funct_1(k8_funct_7(B,k1_nat_1(D,1)),C) = C ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k8_funct_7(B,D),C) = C ) ) ) )).
fof(s2_nat_1__e4_47__group_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k5_group_1(A,C,k5_numbers)) = k5_group_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C),k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k5_group_1(A,C,E)) = k5_group_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C),E) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k5_group_1(A,C,k1_nat_1(E,1))) = k5_group_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C),k1_nat_1(E,1)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k5_group_1(A,C,E)) = k5_group_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C),E) ) ) ) )).
fof(s2_nat_1__e4_49__huffman1,axiom,( ! [A] : ( m1_trees_4(A,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( ( r2_tarski(B,k1_funct_1(A,k5_numbers)) & r2_tarski(C,k1_funct_1(A,k5_numbers)) ) => ( B = C | k9_subset_1(k1_huffman1,k2_relset_1(k1_huffman1,B),k2_relset_1(k1_huffman1,C)) = k1_xboole_0 ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k1_huffman1) & v1_funct_1(E) & v1_finset_1(E) & v3_trees_2(E) & v2_bintree1(E) ) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k1_huffman1) & v1_funct_1(F) & v1_finset_1(F) & v3_trees_2(F) & v2_bintree1(F) ) => ( ( r2_tarski(E,k1_funct_1(A,D)) & r2_tarski(F,k1_funct_1(A,D)) ) => ( E = F | k9_subset_1(k1_huffman1,k2_relset_1(k1_huffman1,E),k2_relset_1(k1_huffman1,F)) = k1_xboole_0 ) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) ) => ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,k1_huffman1) & v1_funct_1(G) & v1_finset_1(G) & v3_trees_2(G) & v2_bintree1(G) ) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k1_huffman1) & v1_funct_1(H) & v1_finset_1(H) & v3_trees_2(H) & v2_bintree1(H) ) => ( ( r2_tarski(G,k1_funct_1(A,k1_nat_1(D,1))) & r2_tarski(H,k1_funct_1(A,k1_nat_1(D,1))) ) => ( G = H | k9_subset_1(k1_huffman1,k2_relset_1(k1_huffman1,G),k2_relset_1(k1_huffman1,H)) = k1_xboole_0 ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) ) => ! [I] : ( ( v1_relat_1(I) & v5_relat_1(I,k1_huffman1) & v1_funct_1(I) & v1_finset_1(I) & v3_trees_2(I) & v2_bintree1(I) ) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k1_huffman1) & v1_funct_1(J) & v1_finset_1(J) & v3_trees_2(J) & v2_bintree1(J) ) => ( ( r2_tarski(I,k1_funct_1(A,D)) & r2_tarski(J,k1_funct_1(A,D)) ) => ( I = J | k9_subset_1(k1_huffman1,k2_relset_1(k1_huffman1,I),k2_relset_1(k1_huffman1,J)) = k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_49__taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( ( r1_taylor_1(A,k5_numbers,B) => r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k5_numbers),C),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,C),k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_taylor_1(A,D,B) => r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),D),C),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,C),D)) ) => ( r1_taylor_1(A,k1_nat_1(D,1),B) => r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),k1_nat_1(D,1)),C),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,C),k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_taylor_1(A,D,B) => r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),D),C),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,C),D)) ) ) ) ) )).
fof(s2_nat_1__e4_4_1_1_1__csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(k3_series_1(k7_comseq_3(A)),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k1_funct_1(k3_series_1(k7_comseq_3(A)),B)) => r1_xxreal_0(k5_numbers,k1_funct_1(k3_series_1(k7_comseq_3(A)),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k1_funct_1(k3_series_1(k7_comseq_3(A)),B)) ) ) ) )).
fof(s2_nat_1__e4_4_1_1_3__csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k1_funct_1(k3_series_1(k8_comseq_3(A)),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k3_series_1(k8_comseq_3(A)),B) = k5_numbers => k1_funct_1(k3_series_1(k8_comseq_3(A)),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k3_series_1(k8_comseq_3(A)),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e4_4_1_1_8__scmfsa7b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k5_numbers)) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,D)) = D ) => ( r1_xxreal_0(k1_nat_1(D,1),C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(D,1))) = k1_nat_1(D,1) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,D)) = D ) ) ) ) )).
fof(s2_nat_1__e4_4_1_2_8__scmfsa7b,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k5_numbers)) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,D)) = D ) => ( r1_xxreal_0(k1_nat_1(D,1),k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(D,1))) = k1_nat_1(D,1) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k1_nat_1(k1_nat_1(C,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,D)) = D ) ) ) ) )).
fof(s2_nat_1__e4_4_1_2__card_fin,axiom,( ( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ( k4_card_1(A) = k5_numbers => ( v1_xboole_0(B) | k4_card_1(k1_funct_2(A,B)) = k11_newton(k4_card_1(B),k4_card_1(A)) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v1_finset_1(D) => ! [E] : ( v1_finset_1(E) => ( k4_card_1(D) = C => ( v1_xboole_0(E) | k4_card_1(k1_funct_2(D,E)) = k11_newton(k4_card_1(E),k4_card_1(D)) ) ) ) ) => ! [F] : ( v1_finset_1(F) => ! [G] : ( v1_finset_1(G) => ( k4_card_1(F) = k1_nat_1(C,1) => ( v1_xboole_0(G) | k4_card_1(k1_funct_2(F,G)) = k11_newton(k4_card_1(G),k4_card_1(F)) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( v1_finset_1(H) => ! [I] : ( v1_finset_1(I) => ( k4_card_1(H) = C => ( v1_xboole_0(I) | k4_card_1(k1_funct_2(H,I)) = k11_newton(k4_card_1(I),k4_card_1(H)) ) ) ) ) ) )).
fof(s2_nat_1__e4_4_1__ring_2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ~ ( k3_finseq_1(B) = k5_numbers & k3_group_4(A,B) = k4_struct_0(A) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & k1_funct_1(B,C) = k4_struct_0(A) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ~ ( k3_finseq_1(E) = D & k3_group_4(A,E) = k4_struct_0(A) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(E)) & k1_funct_1(E,F) = k4_struct_0(A) ) ) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( k3_finseq_1(G) = k1_nat_1(D,1) & k3_group_4(A,G) = k4_struct_0(A) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(G)) & k1_funct_1(G,H) = k4_struct_0(A) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ~ ( k3_finseq_1(I) = D & k3_group_4(A,I) = k4_struct_0(A) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(I)) & k1_funct_1(I,J) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_4_1__seqm_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C))) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e4_4_2_2_3__bhsp_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(B,k5_numbers) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,C) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) => ( r1_xxreal_0(B,k1_nat_1(C,1)) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) )).
fof(s2_nat_1__e4_4__matrix15,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( v7_ordinal1(C) => ~ ( C = k5_numbers & k1_laplace(A,k4_group_1(A),B,C) = k4_struct_0(A) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ~ ( E = D & k1_laplace(A,k4_group_1(A),B,E) = k4_struct_0(A) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( F = k1_nat_1(D,1) & k1_laplace(A,k4_group_1(A),B,F) = k4_struct_0(A) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ~ ( G = D & k1_laplace(A,k4_group_1(A),B,G) = k4_struct_0(A) ) ) ) ) ) )).
fof(s2_nat_1__e4_4__nat_4,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(A,B) & B = k1_int_1(k7_xcmplx_0(k5_numbers,2)) ) => r1_xxreal_0(k4_newton(A,k5_numbers),k4_newton(B,k5_numbers)) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,E) & E = k1_int_1(k7_xcmplx_0(C,2)) ) => r1_xxreal_0(k4_newton(D,C),k4_newton(E,C)) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(F,G) & G = k1_int_1(k7_xcmplx_0(k1_nat_1(C,1),2)) ) => r1_xxreal_0(k4_newton(F,k1_nat_1(C,1)),k4_newton(G,k1_nat_1(C,1))) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(H,I) & I = k1_int_1(k7_xcmplx_0(C,2)) ) => r1_xxreal_0(k4_newton(H,C),k4_newton(I,C)) ) ) ) ) )).
fof(s2_nat_1__e4_4__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ( k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,k5_numbers)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,D)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k9_nat_1(u1_struct_0(A),k4_group_1(A),B,D)) => k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,k1_nat_1(D,1))) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k2_xcmplx_0(C,D)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k9_nat_1(u1_struct_0(A),k4_group_1(A),B,D)) ) ) ) )).
fof(s2_nat_1__e4_50__modelc_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,A,C) = k8_nat_1(k1_numbers,B,C) ) ) => k6_series_1(A,k1_modelc_2(k5_numbers)) = k6_series_1(B,k1_modelc_2(k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => k8_nat_1(k1_numbers,A,E) = k8_nat_1(k1_numbers,B,E) ) ) => k6_series_1(A,k1_modelc_2(D)) = k6_series_1(B,k1_modelc_2(D)) ) => ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k1_nat_1(D,1)) => k8_nat_1(k1_numbers,A,F) = k8_nat_1(k1_numbers,B,F) ) ) => k6_series_1(A,k1_modelc_2(k1_nat_1(D,1))) = k6_series_1(B,k1_modelc_2(k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => k8_nat_1(k1_numbers,A,G) = k8_nat_1(k1_numbers,B,G) ) ) => k6_series_1(A,k1_modelc_2(D)) = k6_series_1(B,k1_modelc_2(D)) ) ) ) ) )).
fof(s2_nat_1__e4_50__setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k1_funct_1(k4_setlim_1(A,B),k5_numbers) = k1_kurato_0(A,B) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(k4_setlim_1(A,B),C) = k1_kurato_0(A,B) => k1_funct_1(k4_setlim_1(A,B),k1_nat_1(C,1)) = k1_kurato_0(A,B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k4_setlim_1(A,B),C) = k1_kurato_0(A,B) ) ) ) )).
fof(s2_nat_1__e4_51__huffman1,axiom,( ! [A] : ( m1_trees_4(A,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ( r2_tarski(B,k1_funct_1(A,k5_numbers)) => v2_funct_1(B) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k1_huffman1) & v1_funct_1(D) & v1_finset_1(D) & v3_trees_2(D) & v2_bintree1(D) ) => ( r2_tarski(D,k1_funct_1(A,C)) => v2_funct_1(D) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(C,1)) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k1_huffman1) & v1_funct_1(E) & v1_finset_1(E) & v3_trees_2(E) & v2_bintree1(E) ) => ( r2_tarski(E,k1_funct_1(A,k1_nat_1(C,1))) => v2_funct_1(E) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k1_huffman1) & v1_funct_1(F) & v1_finset_1(F) & v3_trees_2(F) & v2_bintree1(F) ) => ( r2_tarski(F,k1_funct_1(A,C)) => v2_funct_1(F) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_51__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k5_numbers) => ( D = A | k8_nat_1(k1_numbers,B,D) = k8_nat_1(k1_numbers,C,D) ) ) ) & r1_xxreal_0(A,k5_numbers) ) => k6_xcmplx_0(k6_series_1(B,k1_modelc_2(k5_numbers)),k8_nat_1(k1_numbers,B,A)) = k6_xcmplx_0(k6_series_1(C,k1_modelc_2(k5_numbers)),k8_nat_1(k1_numbers,C,A)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => ( F = A | k8_nat_1(k1_numbers,B,F) = k8_nat_1(k1_numbers,C,F) ) ) ) & r1_xxreal_0(A,E) ) => k6_xcmplx_0(k6_series_1(B,k1_modelc_2(E)),k8_nat_1(k1_numbers,B,A)) = k6_xcmplx_0(k6_series_1(C,k1_modelc_2(E)),k8_nat_1(k1_numbers,C,A)) ) => ( ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k1_nat_1(E,1)) => ( G = A | k8_nat_1(k1_numbers,B,G) = k8_nat_1(k1_numbers,C,G) ) ) ) & r1_xxreal_0(A,k1_nat_1(E,1)) ) => k6_xcmplx_0(k6_series_1(B,k1_modelc_2(k1_nat_1(E,1))),k8_nat_1(k1_numbers,B,A)) = k6_xcmplx_0(k6_series_1(C,k1_modelc_2(k1_nat_1(E,1))),k8_nat_1(k1_numbers,C,A)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,E) => ( H = A | k8_nat_1(k1_numbers,B,H) = k8_nat_1(k1_numbers,C,H) ) ) ) & r1_xxreal_0(A,E) ) => k6_xcmplx_0(k6_series_1(B,k1_modelc_2(E)),k8_nat_1(k1_numbers,B,A)) = k6_xcmplx_0(k6_series_1(C,k1_modelc_2(E)),k8_nat_1(k1_numbers,C,A)) ) ) ) ) )).
fof(s2_nat_1__e4_51__uproots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k1_algseq_1(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),k5_numbers)) = k1_nat_1(k5_numbers,1) & ! [C] : ( v7_ordinal1(C) => ( k1_algseq_1(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),C)) = k1_nat_1(C,1) => k1_algseq_1(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),k1_nat_1(C,1))) = k1_nat_1(k1_nat_1(C,1),1) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_algseq_1(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),C)) = k1_nat_1(C,1) ) ) ) )).
fof(s2_nat_1__e4_52_1_1_3_1_1_1__nat_4,axiom,( ( r1_xxreal_0(k4_newton(k5_numbers,k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),k2_power(2,k3_xcmplx_0(2,k5_numbers))) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(k4_newton(A,k1_nat_1(k3_xcmplx_0(2,A),1)),k2_power(2,k3_xcmplx_0(2,A))) => r1_xxreal_0(k4_newton(k1_nat_1(A,1),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),1)),k2_power(2,k3_xcmplx_0(2,k1_nat_1(A,1)))) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k4_newton(A,k1_nat_1(k3_xcmplx_0(2,A),1)),k2_power(2,k3_xcmplx_0(2,A))) ) )).
fof(s2_nat_1__e4_52__rvsum_2,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ( ( k17_rvsum_1(k5_finseq_2(k2_numbers,k5_numbers,A)) = k3_xcmplx_0(k5_numbers,A) & ! [B] : ( v7_ordinal1(B) => ( k17_rvsum_1(k5_finseq_2(k2_numbers,B,A)) = k3_xcmplx_0(B,A) => k17_rvsum_1(k5_finseq_2(k2_numbers,k1_nat_1(B,1),A)) = k3_xcmplx_0(k1_nat_1(B,1),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k17_rvsum_1(k5_finseq_2(k2_numbers,B,A)) = k3_xcmplx_0(B,A) ) ) ) )).
fof(s2_nat_1__e4_53_1_1__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_complex1(k8_nat_1(k2_numbers,k3_sin_cos(k3_xcmplx_0(A,k7_complex1)),k5_numbers)) = k8_nat_1(k2_numbers,k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1))),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_complex1(k8_nat_1(k2_numbers,k3_sin_cos(k3_xcmplx_0(A,k7_complex1)),B)) = k8_nat_1(k2_numbers,k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1))),B) => k8_complex1(k8_nat_1(k2_numbers,k3_sin_cos(k3_xcmplx_0(A,k7_complex1)),k1_nat_1(B,1))) = k8_nat_1(k2_numbers,k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1))),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_complex1(k8_nat_1(k2_numbers,k3_sin_cos(k3_xcmplx_0(A,k7_complex1)),B)) = k8_nat_1(k2_numbers,k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1))),B) ) ) ) )).
fof(s2_nat_1__e4_53__fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l1_rewrite3(C,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B)))) ) => ( ( ! [D] : ( m1_subset_1(D,k8_afinsq_1(B)) => ( r1_xxreal_0(k1_afinsq_1(D),k5_numbers) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(B)) => k3_rewrite3(B,k9_flang_1(B),k1_fsm_3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C),D,k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,E,A))) = k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,k1_flang_1(B,E,D),A)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k8_afinsq_1(B)) => ( r1_xxreal_0(k1_afinsq_1(G),F) => ! [H] : ( m1_subset_1(H,k8_afinsq_1(B)) => k3_rewrite3(B,k9_flang_1(B),k1_fsm_3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C),G,k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,H,A))) = k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,k1_flang_1(B,H,G),A)) ) ) ) => ! [I] : ( m1_subset_1(I,k8_afinsq_1(B)) => ( r1_xxreal_0(k1_afinsq_1(I),k1_nat_1(F,1)) => ! [J] : ( m1_subset_1(J,k8_afinsq_1(B)) => k3_rewrite3(B,k9_flang_1(B),k1_fsm_3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C),I,k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,J,A))) = k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,k1_flang_1(B,J,I),A)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( m1_subset_1(K,k8_afinsq_1(B)) => ( r1_xxreal_0(k1_afinsq_1(K),F) => ! [L] : ( m1_subset_1(L,k8_afinsq_1(B)) => k3_rewrite3(B,k9_flang_1(B),k1_fsm_3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C),K,k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,L,A))) = k6_domain_1(k1_zfmisc_1(u1_struct_0(C)),k3_rewrite3(B,k4_subset_1(k3_catalan2(B),k9_flang_1(B),k4_flang_1(B,k2_flang_1(B))),C,k1_flang_1(B,L,K),A)) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_53__scmbsort,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( k5_numbers = k1_funct_1(B,k4_scmfsa_2(k1_nat_1(1,1))) & r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers) | ( r2_classes1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,A),k5_scmfsa_2(k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ( ( ~ r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers),C) & r1_xxreal_0(1,C) ) | ( ~ r1_xxreal_0(C,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & r2_tarski(C,k4_finseq_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)))) ) ) => k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,A),k5_scmfsa_2(k5_numbers)),C) ) ) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers),C) & r1_xxreal_0(C,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ~ ( D = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,A),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers)) & E = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,A),k5_scmfsa_2(k5_numbers)),C) & r1_xxreal_0(E,D) ) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers),C) & r1_xxreal_0(C,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers),D) & r1_xxreal_0(D,k1_funct_1(B,k4_scmfsa_2(k1_nat_1(2,1)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),B,A),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(B,k5_scmfsa_2(k5_numbers)),D) ) ) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ( ( F = k1_funct_1(H,k4_scmfsa_2(k1_nat_1(1,1))) & r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),F) | ( r2_classes1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),H,G),k5_scmfsa_2(k5_numbers))) & ! [I] : ( v7_ordinal1(I) => ( ( ( ~ r1_xxreal_0(k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),F),I) & r1_xxreal_0(1,I) ) | ( ~ r1_xxreal_0(I,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) & r2_tarski(I,k4_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) ) => k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),I) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),H,G),k5_scmfsa_2(k5_numbers)),I) ) ) & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),F),I) & r1_xxreal_0(I,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [J] : ( v1_int_1(J) => ! [K] : ( v1_int_1(K) => ~ ( J = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),H,G),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),F)) & K = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),H,G),k5_scmfsa_2(k5_numbers)),I) & r1_xxreal_0(K,J) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),F),I) & r1_xxreal_0(I,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),F),J) & r1_xxreal_0(J,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),H,G),k5_scmfsa_2(k5_numbers)),I) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),J) ) ) ) ) ) ) ) ) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(M,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_nat_1(F,1) = k1_funct_1(M,k4_scmfsa_2(k1_nat_1(1,1))) & r1_xxreal_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(F,1)) | ( r2_classes1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),M,L),k5_scmfsa_2(k5_numbers))) & ! [N] : ( v7_ordinal1(N) => ( ( ( ~ r1_xxreal_0(k6_xcmplx_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(F,1)),N) & r1_xxreal_0(1,N) ) | ( ~ r1_xxreal_0(N,k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1)))) & r2_tarski(N,k4_finseq_1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)))) ) ) => k1_funct_1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)),N) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),M,L),k5_scmfsa_2(k5_numbers)),N) ) ) & ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(F,1)),N) & r1_xxreal_0(N,k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [O] : ( v1_int_1(O) => ! [P] : ( v1_int_1(P) => ~ ( O = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),M,L),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(F,1))) & P = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),M,L),k5_scmfsa_2(k5_numbers)),N) & r1_xxreal_0(P,O) ) ) ) ) ) & ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(F,1)),N) & r1_xxreal_0(N,k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [O] : ( v7_ordinal1(O) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(F,1)),O) & r1_xxreal_0(O,k1_funct_1(M,k4_scmfsa_2(k1_nat_1(2,1)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),M,L),k5_scmfsa_2(k5_numbers)),N) = k1_funct_1(k18_scmfsa_2(M,k5_scmfsa_2(k5_numbers)),O) ) ) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,k4_ordinal1) & v5_relat_1(Q,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(Q) & v1_partfun1(Q,k4_ordinal1) ) => ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(R) & v5_funct_1(R,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(R,u1_struct_0(k1_scmfsa_2)) ) => ( ( F = k1_funct_1(R,k4_scmfsa_2(k1_nat_1(1,1))) & r1_xxreal_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))),F) | ( r2_classes1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),R,Q),k5_scmfsa_2(k5_numbers))) & ! [S] : ( v7_ordinal1(S) => ( ( ( ~ r1_xxreal_0(k6_xcmplx_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))),F),S) & r1_xxreal_0(1,S) ) | ( ~ r1_xxreal_0(S,k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1)))) & r2_tarski(S,k4_finseq_1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)))) ) ) => k1_funct_1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)),S) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),R,Q),k5_scmfsa_2(k5_numbers)),S) ) ) & ! [S] : ( v7_ordinal1(S) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))),F),S) & r1_xxreal_0(S,k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [T] : ( v1_int_1(T) => ! [U] : ( v1_int_1(U) => ~ ( T = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),R,Q),k5_scmfsa_2(k5_numbers)),k6_xcmplx_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))),F)) & U = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),R,Q),k5_scmfsa_2(k5_numbers)),S) & r1_xxreal_0(U,T) ) ) ) ) ) & ! [S] : ( v7_ordinal1(S) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))),F),S) & r1_xxreal_0(S,k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1)))) & ! [T] : ( v7_ordinal1(T) => ~ ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1))),F),T) & r1_xxreal_0(T,k1_funct_1(R,k4_scmfsa_2(k1_nat_1(2,1)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),R,Q),k5_scmfsa_2(k5_numbers)),S) = k1_funct_1(k18_scmfsa_2(R,k5_scmfsa_2(k5_numbers)),T) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_53__supinf_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,C))) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e4_53__uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & v1_uproots(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_algseq_1(A,k12_polynom3(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),k5_numbers),C)) = k1_nat_1(k5_numbers,k1_algseq_1(A,C)) & ! [D] : ( v7_ordinal1(D) => ( k1_algseq_1(A,k12_polynom3(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),D),C)) = k1_nat_1(D,k1_algseq_1(A,C)) => k1_algseq_1(A,k12_polynom3(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),k1_nat_1(D,1)),C)) = k1_nat_1(k1_nat_1(D,1),k1_algseq_1(A,C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_algseq_1(A,k12_polynom3(A,k3_polynom5(A,k5_polynom5(A,B,k5_struct_0(A)),D),C)) = k1_nat_1(D,k1_algseq_1(A,C)) ) ) ) )).
fof(s2_nat_1__e4_54__o_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( k5_numbers = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k5_numbers),A) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => ( C = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => ( k1_nat_1(C,1) = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( C = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(s2_nat_1__e4_55_1_2__scmbsort,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k1_nat_1(k5_numbers,1) & r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) ) => ( r2_classes1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),A,B),k5_scmfsa_2(k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k5_numbers),C) & r1_xxreal_0(D,k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(D,C) | ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ( ( E = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),A,B),k5_scmfsa_2(k5_numbers)),C) & F = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),A,B),k5_scmfsa_2(k5_numbers)),D) ) => r1_xxreal_0(F,E) ) ) ) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k5_numbers),C) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),A,B),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),C) ) ) ) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k5_numbers),C) & r1_xxreal_0(C,k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k5_numbers),D) & r1_xxreal_0(D,k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),A,B),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),D) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( k1_funct_1(H,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k1_nat_1(G,1) & r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) => ( r2_classes1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),H,I),k5_scmfsa_2(k5_numbers))) & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers))),G),J) & r1_xxreal_0(K,k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(K,J) | ! [L] : ( v1_int_1(L) => ! [M] : ( v1_int_1(M) => ( ( L = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),H,I),k5_scmfsa_2(k5_numbers)),J) & M = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),H,I),k5_scmfsa_2(k5_numbers)),K) ) => r1_xxreal_0(M,L) ) ) ) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(1,J) => ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers))),G),J) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),H,I),k5_scmfsa_2(k5_numbers)),J) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),J) ) ) ) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers))),G),J) & r1_xxreal_0(J,k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) & ! [K] : ( v7_ordinal1(K) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers))),G),K) & r1_xxreal_0(K,k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),H,I),k5_scmfsa_2(k5_numbers)),J) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),K) ) ) ) ) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(N,u1_struct_0(k1_scmfsa_2)) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,k4_ordinal1) & v5_relat_1(O,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(O) & v1_partfun1(O,k4_ordinal1) ) => ( ( k1_funct_1(N,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k1_nat_1(k1_nat_1(G,1),1) & r1_xxreal_0(k1_funct_1(N,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)))) ) => ( r2_classes1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),N,O),k5_scmfsa_2(k5_numbers))) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers))),k1_nat_1(G,1)),P) & r1_xxreal_0(Q,k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(Q,P) | ! [R] : ( v1_int_1(R) => ! [S] : ( v1_int_1(S) => ( ( R = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),N,O),k5_scmfsa_2(k5_numbers)),P) & S = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),N,O),k5_scmfsa_2(k5_numbers)),Q) ) => r1_xxreal_0(S,R) ) ) ) ) ) ) ) & ! [P] : ( v7_ordinal1(P) => ( r1_xxreal_0(1,P) => ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers))),k1_nat_1(G,1)),P) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),N,O),k5_scmfsa_2(k5_numbers)),P) = k1_funct_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)),P) ) ) ) & ! [P] : ( v7_ordinal1(P) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers))),k1_nat_1(G,1)),P) & r1_xxreal_0(P,k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)))) & ! [Q] : ( v7_ordinal1(Q) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers))),k1_nat_1(G,1)),Q) & r1_xxreal_0(Q,k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),N,O),k5_scmfsa_2(k5_numbers)),P) = k1_funct_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)),Q) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [T] : ( ( v1_relat_1(T) & v4_relat_1(T,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(T) & v5_funct_1(T,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(T,u1_struct_0(k1_scmfsa_2)) ) => ! [U] : ( ( v1_relat_1(U) & v4_relat_1(U,k4_ordinal1) & v5_relat_1(U,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(U) & v1_partfun1(U,k4_ordinal1) ) => ( ( k1_funct_1(T,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k1_nat_1(G,1) & r1_xxreal_0(k1_funct_1(T,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)))) ) => ( r2_classes1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),T,U),k5_scmfsa_2(k5_numbers))) & ! [V] : ( v7_ordinal1(V) => ! [W] : ( v7_ordinal1(W) => ( ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers))),G),V) & r1_xxreal_0(W,k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(W,V) | ! [X] : ( v1_int_1(X) => ! [Y] : ( v1_int_1(Y) => ( ( X = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),T,U),k5_scmfsa_2(k5_numbers)),V) & Y = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),T,U),k5_scmfsa_2(k5_numbers)),W) ) => r1_xxreal_0(Y,X) ) ) ) ) ) ) ) & ! [V] : ( v7_ordinal1(V) => ( r1_xxreal_0(1,V) => ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers))),G),V) | k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),T,U),k5_scmfsa_2(k5_numbers)),V) = k1_funct_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)),V) ) ) ) & ! [V] : ( v7_ordinal1(V) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers))),G),V) & r1_xxreal_0(V,k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)))) & ! [W] : ( v7_ordinal1(W) => ~ ( r1_xxreal_0(k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers))),G),W) & r1_xxreal_0(W,k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)))) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))),k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))))),T,U),k5_scmfsa_2(k5_numbers)),V) = k1_funct_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)),W) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_55__extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( ( k5_extpro_1(A,B,C,D,k5_numbers) = D & ! [E] : ( v7_ordinal1(E) => ( k5_extpro_1(A,B,C,D,E) = D => k5_extpro_1(A,B,C,D,k1_nat_1(E,1)) = D ) ) ) => ! [E] : ( v7_ordinal1(E) => k5_extpro_1(A,B,C,D,E) = D ) ) ) )).
fof(s2_nat_1__e4_56__simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v1_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) ) => ( ( k6_simplex0(B) = k6_simplex0(k5_simplex1(k5_numbers,A,B)) & ~ v3_pencil_1(k5_simplex1(k5_numbers,A,B)) & v1_simplex1(k5_simplex1(k5_numbers,A,B),A) & ! [C] : ( v7_ordinal1(C) => ( ( k6_simplex0(B) = k6_simplex0(k5_simplex1(C,A,B)) & ~ v3_pencil_1(k5_simplex1(C,A,B)) & v1_simplex1(k5_simplex1(C,A,B),A) ) => ( k6_simplex0(B) = k6_simplex0(k5_simplex1(k1_nat_1(C,1),A,B)) & ~ v3_pencil_1(k5_simplex1(k1_nat_1(C,1),A,B)) & v1_simplex1(k5_simplex1(k1_nat_1(C,1),A,B),A) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k6_simplex0(B) = k6_simplex0(k5_simplex1(C,A,B)) & ~ v3_pencil_1(k5_simplex1(C,A,B)) & v1_simplex1(k5_simplex1(C,A,B),A) ) ) ) ) )).
fof(s2_nat_1__e4_57_1__stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_rewrite1(C,B) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,k5_numbers),A) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,D),A) ) => ( r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),A) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,D),A) ) ) ) ) )).
fof(s2_nat_1__e4_57__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_zmodul02(A,B)))) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( k3_finseq_1(D) = k5_numbers & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( F = k1_funct_1(D,E) & r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,F)) ) ) ) ) ) => r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,k4_rlvect_1(B,D))) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(B)) => ( ( k3_finseq_1(H) = G & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(H)) & ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ~ ( J = k1_funct_1(H,I) & r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,J)) ) ) ) ) ) => r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,k4_rlvect_1(B,H))) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(B)) => ( ( k3_finseq_1(K) = k1_nat_1(G,1) & ! [L] : ( m1_subset_1(L,k4_ordinal1) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( m1_subset_1(M,u1_struct_0(B)) => ~ ( M = k1_funct_1(K,L) & r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,M)) ) ) ) ) ) => r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,k4_rlvect_1(B,K))) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m2_finseq_1(N,u1_struct_0(B)) => ( ( k3_finseq_1(N) = G & ! [O] : ( m1_subset_1(O,k4_ordinal1) => ~ ( r2_tarski(O,k4_finseq_1(N)) & ! [P] : ( m1_subset_1(P,u1_struct_0(B)) => ~ ( P = k1_funct_1(N,O) & r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,P)) ) ) ) ) ) => r1_struct_0(k1_vectsp_7(k9_int_3(A),k12_zmodul02(A,B),C),k13_zmodul02(A,B,k4_rlvect_1(B,N))) ) ) ) ) ) )).
fof(s2_nat_1__e4_5_1_1__bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v8_bcialg_1(B) & l2_bcialg_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => k1_bcialg_2(B,C,D,A) = k1_bcialg_2(B,k1_bcialg_2(B,C,D,A),D,k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,E) => k1_bcialg_2(B,C,D,A) = k1_bcialg_2(B,k1_bcialg_2(B,C,D,A),D,F) ) => ( r1_xxreal_0(k1_nat_1(F,1),E) => k1_bcialg_2(B,C,D,A) = k1_bcialg_2(B,k1_bcialg_2(B,C,D,A),D,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => k1_bcialg_2(B,C,D,A) = k1_bcialg_2(B,k1_bcialg_2(B,C,D,A),D,F) ) ) ) ) )).
fof(s2_nat_1__e4_5_1__seqm_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k5_numbers)),k8_nat_1(k1_numbers,A,B)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,A,B)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k1_nat_1(C,1))),k8_nat_1(k1_numbers,A,B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,A,B)) ) ) ) )).
fof(s2_nat_1__e4_5_7__kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v5_relat_1(E,B) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k1_prob_2(A,B,k2_prob_3(A,E),k5_numbers) = k1_prob_2(A,k9_setfam_1(A),k2_dynkin(A,k2_prob_3(A,C),D),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( k1_prob_2(A,B,k2_prob_3(A,E),F) = k1_prob_2(A,k9_setfam_1(A),k2_dynkin(A,k2_prob_3(A,C),D),F) => k1_prob_2(A,B,k2_prob_3(A,E),k1_nat_1(F,1)) = k1_prob_2(A,k9_setfam_1(A),k2_dynkin(A,k2_prob_3(A,C),D),k1_nat_1(F,1)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k1_prob_2(A,B,k2_prob_3(A,E),F) = k1_prob_2(A,k9_setfam_1(A),k2_dynkin(A,k2_prob_3(A,C),D),F) ) ) ) )).
fof(s2_nat_1__e4_5__integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_finseq_1(k5_numbers),k2_finseq_1(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k5_numbers),k2_finseq_1(B)),u1_struct_0(A)))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( ( k4_finseq_1(D) = k2_finseq_1(k5_numbers) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(D)) & ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( k4_finseq_1(G) = k2_finseq_1(B) & k1_funct_1(D,F) = k4_rlvect_1(A,G) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_binop_1(C,F,H) ) ) ) ) ) ) & k4_finseq_1(E) = k2_finseq_1(B) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( k4_finseq_1(G) = k2_finseq_1(k5_numbers) & k1_funct_1(E,F) = k4_rlvect_1(A,G) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k1_funct_1(G,H) = k1_binop_1(C,H,F) ) ) ) ) ) ) ) => k4_rlvect_1(A,D) = k4_rlvect_1(A,E) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k2_zfmisc_1(k2_finseq_1(I),k2_finseq_1(J)),u1_struct_0(A)) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(I),k2_finseq_1(J)),u1_struct_0(A)))) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ( ( k4_finseq_1(L) = k2_finseq_1(I) & ! [N] : ( v7_ordinal1(N) => ~ ( r2_tarski(N,k4_finseq_1(L)) & ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ~ ( k4_finseq_1(O) = k2_finseq_1(J) & k1_funct_1(L,N) = k4_rlvect_1(A,O) & ! [P] : ( v7_ordinal1(P) => ( r2_tarski(P,k4_finseq_1(O)) => k1_funct_1(O,P) = k1_binop_1(K,N,P) ) ) ) ) ) ) & k4_finseq_1(M) = k2_finseq_1(J) & ! [N] : ( v7_ordinal1(N) => ~ ( r2_tarski(N,k4_finseq_1(M)) & ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ~ ( k4_finseq_1(O) = k2_finseq_1(I) & k1_funct_1(M,N) = k4_rlvect_1(A,O) & ! [P] : ( v7_ordinal1(P) => ( r2_tarski(P,k4_finseq_1(O)) => k1_funct_1(O,P) = k1_binop_1(K,P,N) ) ) ) ) ) ) ) => k4_rlvect_1(A,L) = k4_rlvect_1(A,M) ) ) ) ) ) => ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,k2_zfmisc_1(k2_finseq_1(k1_nat_1(I,1)),k2_finseq_1(Q)),u1_struct_0(A)) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(I,1)),k2_finseq_1(Q)),u1_struct_0(A)))) ) => ! [S] : ( m2_finseq_1(S,u1_struct_0(A)) => ! [T] : ( m2_finseq_1(T,u1_struct_0(A)) => ( ( k4_finseq_1(S) = k2_finseq_1(k1_nat_1(I,1)) & ! [U] : ( v7_ordinal1(U) => ~ ( r2_tarski(U,k4_finseq_1(S)) & ! [V] : ( m2_finseq_1(V,u1_struct_0(A)) => ~ ( k4_finseq_1(V) = k2_finseq_1(Q) & k1_funct_1(S,U) = k4_rlvect_1(A,V) & ! [W] : ( v7_ordinal1(W) => ( r2_tarski(W,k4_finseq_1(V)) => k1_funct_1(V,W) = k1_binop_1(R,U,W) ) ) ) ) ) ) & k4_finseq_1(T) = k2_finseq_1(Q) & ! [U] : ( v7_ordinal1(U) => ~ ( r2_tarski(U,k4_finseq_1(T)) & ! [V] : ( m2_finseq_1(V,u1_struct_0(A)) => ~ ( k4_finseq_1(V) = k2_finseq_1(k1_nat_1(I,1)) & k1_funct_1(T,U) = k4_rlvect_1(A,V) & ! [W] : ( v7_ordinal1(W) => ( r2_tarski(W,k4_finseq_1(V)) => k1_funct_1(V,W) = k1_binop_1(R,W,U) ) ) ) ) ) ) ) => k4_rlvect_1(A,S) = k4_rlvect_1(A,T) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [X] : ( v7_ordinal1(X) => ! [Y] : ( ( v1_funct_1(Y) & v1_funct_2(Y,k2_zfmisc_1(k2_finseq_1(I),k2_finseq_1(X)),u1_struct_0(A)) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(I),k2_finseq_1(X)),u1_struct_0(A)))) ) => ! [Z] : ( m2_finseq_1(Z,u1_struct_0(A)) => ! [A1] : ( m2_finseq_1(A1,u1_struct_0(A)) => ( ( k4_finseq_1(Z) = k2_finseq_1(I) & ! [B1] : ( v7_ordinal1(B1) => ~ ( r2_tarski(B1,k4_finseq_1(Z)) & ! [C1] : ( m2_finseq_1(C1,u1_struct_0(A)) => ~ ( k4_finseq_1(C1) = k2_finseq_1(X) & k1_funct_1(Z,B1) = k4_rlvect_1(A,C1) & ! [D1] : ( v7_ordinal1(D1) => ( r2_tarski(D1,k4_finseq_1(C1)) => k1_funct_1(C1,D1) = k1_binop_1(Y,B1,D1) ) ) ) ) ) ) & k4_finseq_1(A1) = k2_finseq_1(X) & ! [B1] : ( v7_ordinal1(B1) => ~ ( r2_tarski(B1,k4_finseq_1(A1)) & ! [C1] : ( m2_finseq_1(C1,u1_struct_0(A)) => ~ ( k4_finseq_1(C1) = k2_finseq_1(I) & k1_funct_1(A1,B1) = k4_rlvect_1(A,C1) & ! [D1] : ( v7_ordinal1(D1) => ( r2_tarski(D1,k4_finseq_1(C1)) => k1_funct_1(C1,D1) = k1_binop_1(Y,D1,B1) ) ) ) ) ) ) ) => k4_rlvect_1(A,Z) = k4_rlvect_1(A,A1) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_5__taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k6_prepower(k23_sin_cos(A),k5_numbers) = k23_sin_cos(k3_xcmplx_0(k5_numbers,A)) & ! [B] : ( v7_ordinal1(B) => ( k6_prepower(k23_sin_cos(A),B) = k23_sin_cos(k3_xcmplx_0(B,A)) => k6_prepower(k23_sin_cos(A),k1_nat_1(B,1)) = k23_sin_cos(k3_xcmplx_0(k1_nat_1(B,1),A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k6_prepower(k23_sin_cos(A),B) = k23_sin_cos(k3_xcmplx_0(B,A)) ) ) ) )).
fof(s2_nat_1__e4_60__setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k1_funct_1(k2_setlim_1(A,B),k5_numbers) = k3_prob_1(A,B) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(k2_setlim_1(A,B),C) = k3_prob_1(A,B) => k1_funct_1(k2_setlim_1(A,B),k1_nat_1(C,1)) = k3_prob_1(A,B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k2_setlim_1(A,B),C) = k3_prob_1(A,B) ) ) ) )).
fof(s2_nat_1__e4_61__card_2,axiom,( ( ! [A] : ( v1_finset_1(A) => ( ( k4_card_1(A) = k5_numbers & ! [B] : ! [C] : ~ ( r2_tarski(B,A) & r2_tarski(C,A) & ~ r1_tarski(B,C) & ~ r1_tarski(C,B) ) ) => ( A = k1_xboole_0 | r2_tarski(k3_tarski(A),A) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_finset_1(E) => ( ( k4_card_1(E) = D & ! [F] : ! [G] : ~ ( r2_tarski(F,E) & r2_tarski(G,E) & ~ r1_tarski(F,G) & ~ r1_tarski(G,F) ) ) => ( E = k1_xboole_0 | r2_tarski(k3_tarski(E),E) ) ) ) => ! [H] : ( v1_finset_1(H) => ( ( k4_card_1(H) = k1_nat_1(D,1) & ! [I] : ! [J] : ~ ( r2_tarski(I,H) & r2_tarski(J,H) & ~ r1_tarski(I,J) & ~ r1_tarski(J,I) ) ) => ( H = k1_xboole_0 | r2_tarski(k3_tarski(H),H) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( v1_finset_1(K) => ( ( k4_card_1(K) = D & ! [L] : ! [M] : ~ ( r2_tarski(L,K) & r2_tarski(M,K) & ~ r1_tarski(L,M) & ~ r1_tarski(M,L) ) ) => ( K = k1_xboole_0 | r2_tarski(k3_tarski(K),K) ) ) ) ) )).
fof(s2_nat_1__e4_62__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( B = k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k5_numbers,1)) & C = k8_nat_1(k1_numbers,k5_real_3(A),k5_numbers) ) => k6_nat_d(B,C) = 1 ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( E = k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(D,1)) & F = k8_nat_1(k1_numbers,k5_real_3(A),D) ) => k6_nat_d(E,F) = 1 ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( G = k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k1_nat_1(D,1),1)) & H = k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(D,1)) ) => k6_nat_d(G,H) = 1 ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( I = k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(D,1)) & J = k8_nat_1(k1_numbers,k5_real_3(A),D) ) => k6_nat_d(I,J) = 1 ) ) ) ) ) ) )).
fof(s2_nat_1__e4_63_2__group_19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_numbers) ) => ( ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ! [F] : ( m2_finseq_1(F,k4_numbers) => ( ( k3_finseq_1(E) = k5_numbers & k3_finseq_1(E) = k3_finseq_1(F) & r1_tarski(k2_relset_1(u1_struct_0(A),E),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,F,E)),k5_group_1(A,C,D)) = k6_algstr_0(A,k5_group_1(A,C,D),k3_group_4(A,k4_group_4(A,F,E))) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,k4_numbers) => ( ( k3_finseq_1(H) = G & k3_finseq_1(H) = k3_finseq_1(I) & r1_tarski(k2_relset_1(u1_struct_0(A),H),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,I,H)),k5_group_1(A,C,D)) = k6_algstr_0(A,k5_group_1(A,C,D),k3_group_4(A,k4_group_4(A,I,H))) ) ) ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ! [K] : ( m2_finseq_1(K,k4_numbers) => ( ( k3_finseq_1(J) = k1_nat_1(G,1) & k3_finseq_1(J) = k3_finseq_1(K) & r1_tarski(k2_relset_1(u1_struct_0(A),J),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,K,J)),k5_group_1(A,C,D)) = k6_algstr_0(A,k5_group_1(A,C,D),k3_group_4(A,k4_group_4(A,K,J))) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ( ( k3_finseq_1(L) = G & k3_finseq_1(L) = k3_finseq_1(M) & r1_tarski(k2_relset_1(u1_struct_0(A),L),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,M,L)),k5_group_1(A,C,D)) = k6_algstr_0(A,k5_group_1(A,C,D),k3_group_4(A,k4_group_4(A,M,L))) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_63_4__group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_struct_0(k5_group_4(A,B),C) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ( ( k3_finseq_1(D) = k5_numbers & k3_finseq_1(D) = k3_finseq_1(E) & r1_tarski(k2_relset_1(u1_struct_0(A),D),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,E,D)),C) = k6_algstr_0(A,C,k3_group_4(A,k4_group_4(A,E,D))) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_struct_0(k5_group_4(A,B),G) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,k4_numbers) => ( ( k3_finseq_1(H) = F & k3_finseq_1(H) = k3_finseq_1(I) & r1_tarski(k2_relset_1(u1_struct_0(A),H),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,I,H)),G) = k6_algstr_0(A,G,k3_group_4(A,k4_group_4(A,I,H))) ) ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r1_struct_0(k5_group_4(A,B),J) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ( ( k3_finseq_1(K) = k1_nat_1(F,1) & k3_finseq_1(K) = k3_finseq_1(L) & r1_tarski(k2_relset_1(u1_struct_0(A),K),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,L,K)),J) = k6_algstr_0(A,J,k3_group_4(A,k4_group_4(A,L,K))) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( r1_struct_0(k5_group_4(A,B),M) => ! [N] : ( m2_finseq_1(N,u1_struct_0(A)) => ! [O] : ( m2_finseq_1(O,k4_numbers) => ( ( k3_finseq_1(N) = F & k3_finseq_1(N) = k3_finseq_1(O) & r1_tarski(k2_relset_1(u1_struct_0(A),N),B) ) => k6_algstr_0(A,k3_group_4(A,k4_group_4(A,O,N)),M) = k6_algstr_0(A,M,k3_group_4(A,k4_group_4(A,O,N))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_64_4__modelc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_modelc_1(A) & l2_modelc_1(A) & v1_funct_1(B) & v1_funct_2(B,k18_modelc_1,u3_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(A)))) & v1_funct_1(C) & v1_funct_2(C,k12_modelc_1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k12_modelc_1,u1_struct_0(A)))) ) => ( ( r2_modelc_1(A,B,C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( r2_modelc_1(A,B,C,D) => r2_modelc_1(A,B,C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_modelc_1(A,B,C,D) ) ) ) )).
fof(s2_nat_1__e4_64__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( k6_flang_1(A,k7_flang_1(A,B,k5_numbers),k8_flang_1(A,B)) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k6_flang_1(A,k7_flang_1(A,B,C),k8_flang_1(A,B)) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,C)) => k6_flang_1(A,k7_flang_1(A,B,k1_nat_1(C,1)),k8_flang_1(A,B)) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,k7_flang_1(A,B,C),k8_flang_1(A,B)) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,C)) ) ) ) )).
fof(s2_nat_1__e4_64__nat_4,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k5_numbers = k3_finseq_1(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => ( r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(B,C)) & ~ r1_xxreal_0(k1_funct_1(A,C),k5_numbers) ) ) ) ) => r1_xxreal_0(k21_rvsum_1(A),k21_rvsum_1(B)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k1_numbers) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ( ( k3_finseq_1(E) = k3_finseq_1(F) & D = k3_finseq_1(E) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(E)) => ( r1_xxreal_0(k1_funct_1(E,G),k1_funct_1(F,G)) & ~ r1_xxreal_0(k1_funct_1(E,G),k5_numbers) ) ) ) ) => r1_xxreal_0(k21_rvsum_1(E),k21_rvsum_1(F)) ) ) ) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( k3_finseq_1(H) = k3_finseq_1(I) & k1_nat_1(D,1) = k3_finseq_1(H) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(H)) => ( r1_xxreal_0(k1_funct_1(H,J),k1_funct_1(I,J)) & ~ r1_xxreal_0(k1_funct_1(H,J),k5_numbers) ) ) ) ) => r1_xxreal_0(k21_rvsum_1(H),k21_rvsum_1(I)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k1_numbers) => ! [L] : ( m2_finseq_1(L,k1_numbers) => ( ( k3_finseq_1(K) = k3_finseq_1(L) & D = k3_finseq_1(K) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(K)) => ( r1_xxreal_0(k1_funct_1(K,M),k1_funct_1(L,M)) & ~ r1_xxreal_0(k1_funct_1(K,M),k5_numbers) ) ) ) ) => r1_xxreal_0(k21_rvsum_1(K),k21_rvsum_1(L)) ) ) ) ) )).
fof(s2_nat_1__e4_66__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) & ~ v2_struct_0(E) & l2_fsm_1(E,A,B) & m1_subset_1(F,u1_struct_0(D)) & v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k1_nat_1(k3_finseq_1(C),1)) ) => k1_funct_1(G,k1_funct_1(k2_fsm_1(A,D,F,C),k5_numbers)) = k1_funct_1(k2_fsm_1(A,E,k3_funct_2(u1_struct_0(D),u1_struct_0(E),G,F),C),k5_numbers) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k1_nat_1(k3_finseq_1(C),1)) ) => k1_funct_1(G,k1_funct_1(k2_fsm_1(A,D,F,C),H)) = k1_funct_1(k2_fsm_1(A,E,k3_funct_2(u1_struct_0(D),u1_struct_0(E),G,F),C),H) ) => ( ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k1_nat_1(k3_finseq_1(C),1)) ) => k1_funct_1(G,k1_funct_1(k2_fsm_1(A,D,F,C),k1_nat_1(H,1))) = k1_funct_1(k2_fsm_1(A,E,k3_funct_2(u1_struct_0(D),u1_struct_0(E),G,F),C),k1_nat_1(H,1)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k1_nat_1(k3_finseq_1(C),1)) ) => k1_funct_1(G,k1_funct_1(k2_fsm_1(A,D,F,C),H)) = k1_funct_1(k2_fsm_1(A,E,k3_funct_2(u1_struct_0(D),u1_struct_0(E),G,F),C),H) ) ) ) ) )).
fof(s2_nat_1__e4_66__monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,A) => ( k3_finseq_1(C) = k5_numbers => k18_monoid_1(A,k1_monoid_0(A,B,C)) = k6_algstr_0(k13_monoid_1(A),k18_monoid_1(A,B),k18_monoid_1(A,C)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,A) => ( k3_finseq_1(E) = D => k18_monoid_1(A,k1_monoid_0(A,B,E)) = k6_algstr_0(k13_monoid_1(A),k18_monoid_1(A,B),k18_monoid_1(A,E)) ) ) => ! [F] : ( m2_finseq_1(F,A) => ( k3_finseq_1(F) = k1_nat_1(D,1) => k18_monoid_1(A,k1_monoid_0(A,B,F)) = k6_algstr_0(k13_monoid_1(A),k18_monoid_1(A,B),k18_monoid_1(A,F)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_finseq_1(G,A) => ( k3_finseq_1(G) = D => k18_monoid_1(A,k1_monoid_0(A,B,G)) = k6_algstr_0(k13_monoid_1(A),k18_monoid_1(A,B),k18_monoid_1(A,G)) ) ) ) ) ) )).
fof(s2_nat_1__e4_66__stirl2_1,axiom,( ( k3_stirl2_1(k1_nat_1(k5_numbers,1),k5_numbers) = k4_newton(2,k1_nat_1(k5_numbers,1)) & ! [A] : ( v7_ordinal1(A) => ( k3_stirl2_1(k1_nat_1(A,1),A) = k4_newton(2,k1_nat_1(A,1)) => k3_stirl2_1(k1_nat_1(k1_nat_1(A,1),1),k1_nat_1(A,1)) = k4_newton(2,k1_nat_1(k1_nat_1(A,1),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => k3_stirl2_1(k1_nat_1(A,1),A) = k4_newton(2,k1_nat_1(A,1)) ) )).
fof(s2_nat_1__e4_67__finseq_4,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( k3_finseq_1(A) = k5_numbers & k10_xtuple_0(A) = k4_finseq_1(A) ) => v2_funct_1(A) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( k3_finseq_1(C) = B & k10_xtuple_0(C) = k4_finseq_1(C) ) => v2_funct_1(C) ) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( k3_finseq_1(D) = k1_nat_1(B,1) & k10_xtuple_0(D) = k4_finseq_1(D) ) => v2_funct_1(D) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(E) = B & k10_xtuple_0(E) = k4_finseq_1(E) ) => v2_funct_1(E) ) ) ) )).
fof(s2_nat_1__e4_67__rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ( ( ! [D] : ( m1_rewrite1(D,k1_rewrite3(A,B,C)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( k3_finseq_1(D) = k5_numbers & r2_tarski(E,k4_finseq_1(D)) & r2_tarski(F,k4_finseq_1(D)) & ~ r1_xxreal_0(F,E) & k2_xtuple_0(k1_funct_1(D,E)) = k2_xtuple_0(k1_funct_1(D,F)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_rewrite1(H,k1_rewrite3(A,B,C)) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ~ ( k3_finseq_1(H) = G & r2_tarski(I,k4_finseq_1(H)) & r2_tarski(J,k4_finseq_1(H)) & ~ r1_xxreal_0(J,I) & k2_xtuple_0(k1_funct_1(H,I)) = k2_xtuple_0(k1_funct_1(H,J)) ) ) ) ) => ! [K] : ( m1_rewrite1(K,k1_rewrite3(A,B,C)) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ~ ( k3_finseq_1(K) = k1_nat_1(G,1) & r2_tarski(L,k4_finseq_1(K)) & r2_tarski(M,k4_finseq_1(K)) & ~ r1_xxreal_0(M,L) & k2_xtuple_0(k1_funct_1(K,L)) = k2_xtuple_0(k1_funct_1(K,M)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m1_rewrite1(N,k1_rewrite3(A,B,C)) => ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => ~ ( k3_finseq_1(N) = G & r2_tarski(O,k4_finseq_1(N)) & r2_tarski(P,k4_finseq_1(N)) & ~ r1_xxreal_0(P,O) & k2_xtuple_0(k1_funct_1(N,O)) = k2_xtuple_0(k1_funct_1(N,P)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_68_2__sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,k1_nat_1(k5_numbers,1))) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k5_numbers) ) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,k1_nat_1(k1_nat_1(B,1),1))) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k5_numbers) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k5_numbers) ) ) ) ) )).
fof(s2_nat_1__e4_68__monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( m2_finseq_1(B,A) => ( k3_finseq_1(B) = k5_numbers => m1_subset_1(k18_monoid_1(A,B),u1_struct_0(k17_monoid_1(A))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,A) => ( k3_finseq_1(D) = C => m1_subset_1(k18_monoid_1(A,D),u1_struct_0(k17_monoid_1(A))) ) ) => ! [E] : ( m2_finseq_1(E,A) => ( k3_finseq_1(E) = k1_nat_1(C,1) => m1_subset_1(k18_monoid_1(A,E),u1_struct_0(k17_monoid_1(A))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_finseq_1(F,A) => ( k3_finseq_1(F) = C => m1_subset_1(k18_monoid_1(A,F),u1_struct_0(k17_monoid_1(A))) ) ) ) ) ) )).
fof(s2_nat_1__e4_69_1__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(k5_numbers,1)),k8_nat_1(k1_numbers,k1_prepower(A),k5_numbers)) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_prepower(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k1_prepower(A),B)) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_prepower(A),B)) ) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(k1_nat_1(B,1),1)),k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(B,1))) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k1_prepower(A),B)) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_prepower(A),B)) ) ) ) ) )).
fof(s2_nat_1__e4_6_1__lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ( ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k10_xtuple_0(C) = B & k3_finseq_1(C) = k5_numbers & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(E,B) => r3_orders_2(k3_lattice3(A),D,E) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(k3_lattice3(A))) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(F,B) => r3_orders_2(k3_lattice3(A),E,F) ) ) => r3_orders_2(k3_lattice3(A),E,D) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( k10_xtuple_0(I) = H & k3_finseq_1(I) = G & ! [J] : ( m1_subset_1(J,u1_struct_0(k3_lattice3(A))) => ~ ( ! [K] : ( m1_subset_1(K,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(K,H) => r3_orders_2(k3_lattice3(A),J,K) ) ) & ! [K] : ( m1_subset_1(K,u1_struct_0(k3_lattice3(A))) => ( ! [L] : ( m1_subset_1(L,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(L,H) => r3_orders_2(k3_lattice3(A),K,L) ) ) => r3_orders_2(k3_lattice3(A),K,J) ) ) ) ) ) ) ) => ! [M] : ( ( v1_finset_1(M) & m1_subset_1(M,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) ) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) ) => ~ ( k10_xtuple_0(N) = M & k3_finseq_1(N) = k1_nat_1(G,1) & ! [O] : ( m1_subset_1(O,u1_struct_0(k3_lattice3(A))) => ~ ( ! [P] : ( m1_subset_1(P,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(P,M) => r3_orders_2(k3_lattice3(A),O,P) ) ) & ! [P] : ( m1_subset_1(P,u1_struct_0(k3_lattice3(A))) => ( ! [Q] : ( m1_subset_1(Q,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(Q,M) => r3_orders_2(k3_lattice3(A),P,Q) ) ) => r3_orders_2(k3_lattice3(A),P,O) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( ( v1_finset_1(R) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(k3_lattice3(A)))) ) => ! [S] : ( ( v1_relat_1(S) & v1_funct_1(S) & v1_finseq_1(S) ) => ~ ( k10_xtuple_0(S) = R & k3_finseq_1(S) = G & ! [T] : ( m1_subset_1(T,u1_struct_0(k3_lattice3(A))) => ~ ( ! [U] : ( m1_subset_1(U,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(U,R) => r3_orders_2(k3_lattice3(A),T,U) ) ) & ! [U] : ( m1_subset_1(U,u1_struct_0(k3_lattice3(A))) => ( ! [V] : ( m1_subset_1(V,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(V,R) => r3_orders_2(k3_lattice3(A),U,V) ) ) => r3_orders_2(k3_lattice3(A),U,T) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_6_2__integra2,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( ( k3_finseq_1(A) = k5_numbers & r2_classes1(A,B) ) => r2_classes1(A,k4_finseq_5(k1_numbers,B)) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( ( v8_valued_0(E) & m2_finseq_1(E,k1_numbers) ) => ( ( k3_finseq_1(D) = C & r2_classes1(D,E) ) => r2_classes1(D,k4_finseq_5(k1_numbers,E)) ) ) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ! [G] : ( ( v8_valued_0(G) & m2_finseq_1(G,k1_numbers) ) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & r2_classes1(F,G) ) => r2_classes1(F,k4_finseq_5(k1_numbers,G)) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( ( v8_valued_0(I) & m2_finseq_1(I,k1_numbers) ) => ( ( k3_finseq_1(H) = C & r2_classes1(H,I) ) => r2_classes1(H,k4_finseq_5(k1_numbers,I)) ) ) ) ) )).
fof(s2_nat_1__e4_6__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(D,C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,D)) ) => ( ~ r1_xxreal_0(k1_nat_1(D,1),C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,C) => r1_orders_2(A,k8_nat_1(u1_struct_0(A),B,C),k8_nat_1(u1_struct_0(A),B,D)) ) ) ) ) )).
fof(s2_nat_1__e4_6__hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k3_xcmplx_0(2,k5_numbers)) = k1_group_1(A) & k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) = k4_algstr_0(A,k1_group_1(A)) & ! [B] : ( v7_ordinal1(B) => ( ( k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k3_xcmplx_0(2,B)) = k1_group_1(A) & k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k1_nat_1(k3_xcmplx_0(2,B),1)) = k4_algstr_0(A,k1_group_1(A)) ) => ( k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k3_xcmplx_0(2,k1_nat_1(B,1))) = k1_group_1(A) & k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)) = k4_algstr_0(A,k1_group_1(A)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k1_binop_1(k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k3_xcmplx_0(2,B)) = k1_group_1(A) & k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),k4_algstr_0(A,k1_group_1(A)),k1_nat_1(k3_xcmplx_0(2,B),1)) = k4_algstr_0(A,k1_group_1(A)) ) ) ) ) )).
fof(s2_nat_1__e4_6__mesfun9c,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k12_supinf_2(k1_mesfunc9(k1_mesfunc5(k4_ordinal1,A)),k5_numbers) = k12_supinf_2(k1_mesfunc5(k4_ordinal1,k3_series_1(A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k12_supinf_2(k1_mesfunc9(k1_mesfunc5(k4_ordinal1,A)),B) = k12_supinf_2(k1_mesfunc5(k4_ordinal1,k3_series_1(A)),B) => k12_supinf_2(k1_mesfunc9(k1_mesfunc5(k4_ordinal1,A)),k1_nat_1(B,1)) = k12_supinf_2(k1_mesfunc5(k4_ordinal1,k3_series_1(A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k12_supinf_2(k1_mesfunc9(k1_mesfunc5(k4_ordinal1,A)),B) = k12_supinf_2(k1_mesfunc5(k4_ordinal1,k3_series_1(A)),B) ) ) ) )).
fof(s2_nat_1__e4_6__ntalgo_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( ( k8_nat_1(k4_ordinal1,B,k5_numbers) != k5_numbers => k6_nat_d(k8_nat_1(k4_ordinal1,A,k5_numbers),k8_nat_1(k4_ordinal1,B,k5_numbers)) = k6_nat_d(k8_nat_1(k4_ordinal1,A,k5_numbers),k8_nat_1(k4_ordinal1,B,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( k8_nat_1(k4_ordinal1,B,C) != k5_numbers => k6_nat_d(k8_nat_1(k4_ordinal1,A,k5_numbers),k8_nat_1(k4_ordinal1,B,k5_numbers)) = k6_nat_d(k8_nat_1(k4_ordinal1,A,C),k8_nat_1(k4_ordinal1,B,C)) ) => ( k8_nat_1(k4_ordinal1,B,k1_nat_1(C,1)) != k5_numbers => k6_nat_d(k8_nat_1(k4_ordinal1,A,k5_numbers),k8_nat_1(k4_ordinal1,B,k5_numbers)) = k6_nat_d(k8_nat_1(k4_ordinal1,A,k1_nat_1(C,1)),k8_nat_1(k4_ordinal1,B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k4_ordinal1,B,C) != k5_numbers => k6_nat_d(k8_nat_1(k4_ordinal1,A,k5_numbers),k8_nat_1(k4_ordinal1,B,k5_numbers)) = k6_nat_d(k8_nat_1(k4_ordinal1,A,C),k8_nat_1(k4_ordinal1,B,C)) ) ) ) ) )).
fof(s2_nat_1__e4_6__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k1_funct_1(k1_prepower(A),k5_numbers) != k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k1_prepower(A),B) != k5_numbers => k1_funct_1(k1_prepower(A),k1_nat_1(B,1)) != k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k1_prepower(A),B) != k5_numbers ) ) ) )).
fof(s2_nat_1__e4_6__rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(D,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,E) = k1_funct_1(B,k1_funct_1(D,E)) ) ) => k4_rlvect_1(A,B) = k4_rlvect_1(A,C) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( k3_finseq_1(G) = F & k3_finseq_1(G) = k3_finseq_1(H) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_relset_1(k4_ordinal1,G),k1_relset_1(k4_ordinal1,G)) & v3_funct_2(I,k1_relset_1(k4_ordinal1,G),k1_relset_1(k4_ordinal1,G)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,G),k1_relset_1(k4_ordinal1,G)))) ) => ( ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k1_relset_1(k4_ordinal1,H)) => k1_funct_1(H,J) = k1_funct_1(G,k1_funct_1(I,J)) ) ) => k4_rlvect_1(A,G) = k4_rlvect_1(A,H) ) ) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ( ( k3_finseq_1(K) = k1_nat_1(F,1) & k3_finseq_1(K) = k3_finseq_1(L) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k1_relset_1(k4_ordinal1,K),k1_relset_1(k4_ordinal1,K)) & v3_funct_2(M,k1_relset_1(k4_ordinal1,K),k1_relset_1(k4_ordinal1,K)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,K),k1_relset_1(k4_ordinal1,K)))) ) => ( ! [N] : ( v7_ordinal1(N) => ( r2_tarski(N,k1_relset_1(k4_ordinal1,L)) => k1_funct_1(L,N) = k1_funct_1(K,k1_funct_1(M,N)) ) ) => k4_rlvect_1(A,K) = k4_rlvect_1(A,L) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ( ( k3_finseq_1(O) = F & k3_finseq_1(O) = k3_finseq_1(P) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k1_relset_1(k4_ordinal1,O),k1_relset_1(k4_ordinal1,O)) & v3_funct_2(Q,k1_relset_1(k4_ordinal1,O),k1_relset_1(k4_ordinal1,O)) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,O),k1_relset_1(k4_ordinal1,O)))) ) => ( ! [R] : ( v7_ordinal1(R) => ( r2_tarski(R,k1_relset_1(k4_ordinal1,P)) => k1_funct_1(P,R) = k1_funct_1(O,k1_funct_1(Q,R)) ) ) => k4_rlvect_1(A,O) = k4_rlvect_1(A,P) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_70_1__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(A))),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(A))),B) = k5_numbers => k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(A))),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(k3_sin_cos(A))),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e4_70__graphsp,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( ( ( r1_xxreal_0(k5_numbers,A) => r1_xxreal_0(k4_card_1(k12_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),A)),k6_xcmplx_0(A,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,A) => r1_xxreal_0(k4_card_1(k12_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),C),B),A)),k6_xcmplx_0(A,C)) ) => ( r1_xxreal_0(k1_nat_1(C,1),A) => r1_xxreal_0(k4_card_1(k12_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(C,1)),B),A)),k6_xcmplx_0(A,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,A) => r1_xxreal_0(k4_card_1(k12_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),C),B),A)),k6_xcmplx_0(A,C)) ) ) ) ) )).
fof(s2_nat_1__e4_71_1__sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(1))),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(1))),B)) => r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(1))),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(1))),B)) ) ) ) )).
fof(s2_nat_1__e4_71_2__sin_cos,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( r1_xxreal_0(k7_xcmplx_0(5,6),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k20_sin_cos(1))),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k7_xcmplx_0(5,6),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k20_sin_cos(1))),B)) => r1_xxreal_0(k7_xcmplx_0(5,6),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k20_sin_cos(1))),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k7_xcmplx_0(5,6),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k20_sin_cos(1))),B)) ) ) ) )).
fof(s2_nat_1__e4_73__card_2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( k10_ordinal2(A,k1_ordinal1(k5_numbers)) = k10_ordinal2(k1_ordinal1(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k10_ordinal2(A,k1_ordinal1(B)) = k10_ordinal2(k1_ordinal1(A),B) => k10_ordinal2(A,k1_ordinal1(k1_nat_1(B,1))) = k10_ordinal2(k1_ordinal1(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k10_ordinal2(A,k1_ordinal1(B)) = k10_ordinal2(k1_ordinal1(A),B) ) ) ) )).
fof(s2_nat_1__e4_73__graphsp,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( ( k4_finseq_1(B) = k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B)) & ! [C] : ( v7_ordinal1(C) => ( k4_finseq_1(B) = k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),C),B)) => k4_finseq_1(B) = k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(C,1)),B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k4_finseq_1(B) = k4_finseq_1(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),C),B)) ) ) ) )).
fof(s2_nat_1__e4_73__ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m1_ratfunc1(B,A) => ~ ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,B)),k2_hurwitz(A,k5_ratfunc1(A,B))) = k5_numbers & ! [C] : ( m1_ratfunc1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( B = k3_ratfunc1(A,k12_polynom3(A,D,k4_ratfunc1(A,C)),k12_polynom3(A,D,k5_ratfunc1(A,C))) & v5_ratfunc1(C,A) & ? [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) & D = k3_group_4(k13_polynom3(A),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),G) & k1_funct_1(E,F) = k3_hurwitz(A,G,1) ) ) ) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_ratfunc1(I,A) => ~ ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,I)),k2_hurwitz(A,k5_ratfunc1(A,I))) = H & ! [J] : ( m1_ratfunc1(J,A) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(K,A) & ~ v1_ratfunc1(K,A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( I = k3_ratfunc1(A,k12_polynom3(A,K,k4_ratfunc1(A,J)),k12_polynom3(A,K,k5_ratfunc1(A,J))) & v5_ratfunc1(J,A) & ? [L] : ( m2_finseq_1(L,u1_struct_0(k13_polynom3(A))) & K = k3_group_4(k13_polynom3(A),L) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ~ ( r2_tarski(M,k4_finseq_1(L)) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,I),k5_ratfunc1(A,I),N) & k1_funct_1(L,M) = k3_hurwitz(A,N,1) ) ) ) ) ) ) ) ) ) ) => ! [O] : ( m1_ratfunc1(O,A) => ~ ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,O)),k2_hurwitz(A,k5_ratfunc1(A,O))) = k1_nat_1(H,1) & ! [P] : ( m1_ratfunc1(P,A) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(Q,A) & ~ v1_ratfunc1(Q,A) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( O = k3_ratfunc1(A,k12_polynom3(A,Q,k4_ratfunc1(A,P)),k12_polynom3(A,Q,k5_ratfunc1(A,P))) & v5_ratfunc1(P,A) & ? [R] : ( m2_finseq_1(R,u1_struct_0(k13_polynom3(A))) & Q = k3_group_4(k13_polynom3(A),R) & ! [S] : ( m1_subset_1(S,k4_ordinal1) => ~ ( r2_tarski(S,k4_finseq_1(R)) & ! [T] : ( m1_subset_1(T,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,O),k5_ratfunc1(A,O),T) & k1_funct_1(R,S) = k3_hurwitz(A,T,1) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [U] : ( m1_ratfunc1(U,A) => ~ ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,U)),k2_hurwitz(A,k5_ratfunc1(A,U))) = H & ! [V] : ( m1_ratfunc1(V,A) => ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(W,A) & ~ v1_ratfunc1(W,A) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( U = k3_ratfunc1(A,k12_polynom3(A,W,k4_ratfunc1(A,V)),k12_polynom3(A,W,k5_ratfunc1(A,V))) & v5_ratfunc1(V,A) & ? [X] : ( m2_finseq_1(X,u1_struct_0(k13_polynom3(A))) & W = k3_group_4(k13_polynom3(A),X) & ! [Y] : ( m1_subset_1(Y,k4_ordinal1) => ~ ( r2_tarski(Y,k4_finseq_1(X)) & ! [Z] : ( m1_subset_1(Z,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,U),k5_ratfunc1(A,U),Z) & k1_funct_1(X,Y) = k3_hurwitz(A,Z,1) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_74_3__sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( k9_complex1(k2_comseq_3(A,k5_numbers)) = k2_comseq_3(k9_complex1(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k9_complex1(k2_comseq_3(A,B)) = k2_comseq_3(k9_complex1(A),B) => k9_complex1(k2_comseq_3(A,k1_nat_1(B,1))) = k2_comseq_3(k9_complex1(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k9_complex1(k2_comseq_3(A,B)) = k2_comseq_3(k9_complex1(A),B) ) ) ) )).
fof(s2_nat_1__e4_74__newton01,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(k2_xcmplx_0(A,k5_numbers),1),2),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,k5_numbers),1),B),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,k5_numbers),1),B),1),2)) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(k2_xcmplx_0(A,C),1),2),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,C),1),B),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,C),1),B),1),2)) => ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(k2_xcmplx_0(A,k1_nat_1(C,1)),1),2),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,k1_nat_1(C,1)),1),B),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,k1_nat_1(C,1)),1),B),1),2)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(k2_xcmplx_0(A,C),1),2),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,C),1),B),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,C),1),B),1),2)) ) ) ) )).
fof(s2_nat_1__e4_75_1__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(k3_sin_cos(A))),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(k3_sin_cos(A))),B) = k5_numbers => k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(k3_sin_cos(A))),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(k3_sin_cos(A))),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e4_75__fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) & m1_subset_1(D,k1_zfmisc_1(k1_fomodel4(A))) & m1_subset_1(E,k1_zfmisc_1(k1_fomodel4(A))) ) => ( ( r1_tarski(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,k5_numbers),D),k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,C,k5_numbers),E)) & ! [F] : ( v7_ordinal1(F) => ( r1_tarski(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,F),D),k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,C,F),E)) => r1_tarski(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,k1_nat_1(F,1)),D),k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,C,k1_nat_1(F,1)),E)) ) ) ) => ! [F] : ( v7_ordinal1(F) => r1_tarski(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,F),D),k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,C,F),E)) ) ) ) )).
fof(s2_nat_1__e4_77__graphsp,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( ( r2_graphsp(B,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k5_numbers),B),k1_nat_1(k3_xcmplx_0(3,A),1),k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A))) & ! [C] : ( v7_ordinal1(C) => ( r2_graphsp(B,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),C),B),k1_nat_1(k3_xcmplx_0(3,A),1),k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A))) => r2_graphsp(B,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),k1_nat_1(C,1)),B),k1_nat_1(k3_xcmplx_0(3,A),1),k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_graphsp(B,k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(A),k18_graphsp(A))),C),B),k1_nat_1(k3_xcmplx_0(3,A),1),k2_xcmplx_0(k3_xcmplx_0(A,A),k3_xcmplx_0(3,A))) ) ) ) )).
fof(s2_nat_1__e4_77__modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ~ ( r1_xxreal_0(k21_modelc_3(A,B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_modelc_3(E,A) & l1_modelc_3(E,A) ) => ~ ( r1_xxreal_0(1,C) & k3_finseq_1(D) = C & k1_funct_1(D,1) = B & k1_funct_1(D,C) = E & u2_modelc_3(A,E) = k7_modelc_3(A) & r5_modelc_3(A,D) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_modelc_3(G,A) & l1_modelc_3(G,A) ) => ~ ( r1_xxreal_0(k21_modelc_3(A,G),F) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ! [J] : ( ( v1_modelc_3(J,A) & l1_modelc_3(J,A) ) => ~ ( r1_xxreal_0(1,H) & k3_finseq_1(I) = H & k1_funct_1(I,1) = G & k1_funct_1(I,H) = J & u2_modelc_3(A,J) = k7_modelc_3(A) & r5_modelc_3(A,I) ) ) ) ) ) ) => ! [K] : ( ( v1_modelc_3(K,A) & l1_modelc_3(K,A) ) => ~ ( r1_xxreal_0(k21_modelc_3(A,K),k1_nat_1(F,1)) & ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) ) => ! [N] : ( ( v1_modelc_3(N,A) & l1_modelc_3(N,A) ) => ~ ( r1_xxreal_0(1,L) & k3_finseq_1(M) = L & k1_funct_1(M,1) = K & k1_funct_1(M,L) = N & u2_modelc_3(A,N) = k7_modelc_3(A) & r5_modelc_3(A,M) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v1_modelc_3(O,A) & l1_modelc_3(O,A) ) => ~ ( r1_xxreal_0(k21_modelc_3(A,O),F) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ! [R] : ( ( v1_modelc_3(R,A) & l1_modelc_3(R,A) ) => ~ ( r1_xxreal_0(1,P) & k3_finseq_1(Q) = P & k1_funct_1(Q,1) = O & k1_funct_1(Q,P) = R & u2_modelc_3(A,R) = k7_modelc_3(A) & r5_modelc_3(A,Q) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_78__uproots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k3_uproots(u1_struct_0(A),k7_uproots(A,k3_polynom5(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),k5_numbers))) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ( k3_uproots(u1_struct_0(A),k7_uproots(A,k3_polynom5(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),C))) = C => k3_uproots(u1_struct_0(A),k7_uproots(A,k3_polynom5(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),k1_nat_1(C,1)))) = k1_nat_1(C,1) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_uproots(u1_struct_0(A),k7_uproots(A,k3_polynom5(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),C))) = C ) ) ) )).
fof(s2_nat_1__e4_79__group_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),k5_numbers) = k8_group_1(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k5_numbers),k9_nat_1(u1_struct_0(A),k4_group_1(A),C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),D) = k8_group_1(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,D),k9_nat_1(u1_struct_0(A),k4_group_1(A),C,D)) => k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),k1_nat_1(D,1)) = k8_group_1(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k1_nat_1(D,1)),k9_nat_1(u1_struct_0(A),k4_group_1(A),C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(A),k4_group_1(A),k8_group_1(A,B,C),D) = k8_group_1(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,D),k9_nat_1(u1_struct_0(A),k4_group_1(A),C,D)) ) ) ) )).
fof(s2_nat_1__e4_7_1_1__measure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ( ~ r1_xxreal_0(k1_nat_1(k5_numbers,1),k5_numbers) => r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,k1_nat_1(k5_numbers,1))) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k1_nat_1(D,1),k5_numbers) => r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,k1_nat_1(D,1))) ) => ( ~ r1_xxreal_0(k1_nat_1(k1_nat_1(D,1),1),k5_numbers) => r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,k1_nat_1(k1_nat_1(D,1),1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k1_nat_1(D,1),k5_numbers) => r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,k1_nat_1(D,1))) ) ) ) ) )).
fof(s2_nat_1__e4_7__comseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(C,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(A),C)),k3_xcmplx_0(B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(A),C)),k3_xcmplx_0(B,D)) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(C,k1_nat_1(D,1))),k8_nat_1(k1_numbers,k3_series_1(A),C)),k3_xcmplx_0(B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(A),C)),k3_xcmplx_0(B,D)) ) ) ) )).
fof(s2_nat_1__e4_7__holder_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,k3_series_1(A),B)) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e4_7__hurwitz,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( ( ? [B] : ( m1_subset_1(B,k4_ordinal1) & B = k5_numbers & k2_complfld(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),A,B)) = k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),k2_complfld(A),B) ) & ! [C] : ( v7_ordinal1(C) => ( ? [D] : ( m1_subset_1(D,k4_ordinal1) & D = C & k2_complfld(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),A,D)) = k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),k2_complfld(A),D) ) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & E = k1_nat_1(C,1) & k2_complfld(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),A,E)) = k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),k2_complfld(A),E) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = C & k2_complfld(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),A,F)) = k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),k2_complfld(A),F) ) ) ) ) )).
fof(s2_nat_1__e4_80__modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( r1_xxreal_0(k3_finseq_1(D),k5_numbers) & r5_modelc_3(A,D) & ~ r2_tarski(B,u1_modelc_3(A,k10_modelc_3(k1_funct_1(D,1),A))) & ~ r1_xxreal_0(C,1) & r1_xxreal_0(C,k3_finseq_1(D)) & r2_tarski(B,u1_modelc_3(A,k10_modelc_3(k1_funct_1(D,C),A))) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(C,E) & ~ r2_tarski(B,u1_modelc_3(A,k10_modelc_3(k1_funct_1(D,E),A))) & r2_tarski(B,u1_modelc_3(A,k10_modelc_3(k1_funct_1(D,k1_nat_1(E,1)),A))) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_modelc_2(G) & m2_finseq_1(G,k4_ordinal1) ) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( r1_xxreal_0(k3_finseq_1(I),F) & r5_modelc_3(A,I) & ~ r2_tarski(G,u1_modelc_3(A,k10_modelc_3(k1_funct_1(I,1),A))) & ~ r1_xxreal_0(H,1) & r1_xxreal_0(H,k3_finseq_1(I)) & r2_tarski(G,u1_modelc_3(A,k10_modelc_3(k1_funct_1(I,H),A))) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(1,J) & ~ r1_xxreal_0(H,J) & ~ r2_tarski(G,u1_modelc_3(A,k10_modelc_3(k1_funct_1(I,J),A))) & r2_tarski(G,u1_modelc_3(A,k10_modelc_3(k1_funct_1(I,k1_nat_1(J,1)),A))) ) ) ) ) ) ) => ! [K] : ( ( v1_modelc_2(K) & m2_finseq_1(K,k4_ordinal1) ) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) ) => ~ ( r1_xxreal_0(k3_finseq_1(M),k1_nat_1(F,1)) & r5_modelc_3(A,M) & ~ r2_tarski(K,u1_modelc_3(A,k10_modelc_3(k1_funct_1(M,1),A))) & ~ r1_xxreal_0(L,1) & r1_xxreal_0(L,k3_finseq_1(M)) & r2_tarski(K,u1_modelc_3(A,k10_modelc_3(k1_funct_1(M,L),A))) & ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(1,N) & ~ r1_xxreal_0(L,N) & ~ r2_tarski(K,u1_modelc_3(A,k10_modelc_3(k1_funct_1(M,N),A))) & r2_tarski(K,u1_modelc_3(A,k10_modelc_3(k1_funct_1(M,k1_nat_1(N,1)),A))) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v1_modelc_2(O) & m2_finseq_1(O,k4_ordinal1) ) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ~ ( r1_xxreal_0(k3_finseq_1(Q),F) & r5_modelc_3(A,Q) & ~ r2_tarski(O,u1_modelc_3(A,k10_modelc_3(k1_funct_1(Q,1),A))) & ~ r1_xxreal_0(P,1) & r1_xxreal_0(P,k3_finseq_1(Q)) & r2_tarski(O,u1_modelc_3(A,k10_modelc_3(k1_funct_1(Q,P),A))) & ! [R] : ( v7_ordinal1(R) => ~ ( r1_xxreal_0(1,R) & ~ r1_xxreal_0(P,R) & ~ r2_tarski(O,u1_modelc_3(A,k10_modelc_3(k1_funct_1(Q,R),A))) & r2_tarski(O,u1_modelc_3(A,k10_modelc_3(k1_funct_1(Q,k1_nat_1(R,1)),A))) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_82__modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( r1_xxreal_0(k3_finseq_1(D),k5_numbers) & r5_modelc_3(A,D) & r2_tarski(B,u2_modelc_3(A,k10_modelc_3(k1_funct_1(D,1),A))) & ~ r1_xxreal_0(C,1) & r1_xxreal_0(C,k3_finseq_1(D)) & ~ r2_tarski(B,u2_modelc_3(A,k10_modelc_3(k1_funct_1(D,C),A))) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(C,E) & r2_tarski(B,u2_modelc_3(A,k10_modelc_3(k1_funct_1(D,E),A))) & ~ r2_tarski(B,u2_modelc_3(A,k10_modelc_3(k1_funct_1(D,k1_nat_1(E,1)),A))) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_modelc_2(G) & m2_finseq_1(G,k4_ordinal1) ) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( r1_xxreal_0(k3_finseq_1(I),F) & r5_modelc_3(A,I) & r2_tarski(G,u2_modelc_3(A,k10_modelc_3(k1_funct_1(I,1),A))) & ~ r1_xxreal_0(H,1) & r1_xxreal_0(H,k3_finseq_1(I)) & ~ r2_tarski(G,u2_modelc_3(A,k10_modelc_3(k1_funct_1(I,H),A))) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(1,J) & ~ r1_xxreal_0(H,J) & r2_tarski(G,u2_modelc_3(A,k10_modelc_3(k1_funct_1(I,J),A))) & ~ r2_tarski(G,u2_modelc_3(A,k10_modelc_3(k1_funct_1(I,k1_nat_1(J,1)),A))) ) ) ) ) ) ) => ! [K] : ( ( v1_modelc_2(K) & m2_finseq_1(K,k4_ordinal1) ) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) ) => ~ ( r1_xxreal_0(k3_finseq_1(M),k1_nat_1(F,1)) & r5_modelc_3(A,M) & r2_tarski(K,u2_modelc_3(A,k10_modelc_3(k1_funct_1(M,1),A))) & ~ r1_xxreal_0(L,1) & r1_xxreal_0(L,k3_finseq_1(M)) & ~ r2_tarski(K,u2_modelc_3(A,k10_modelc_3(k1_funct_1(M,L),A))) & ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(1,N) & ~ r1_xxreal_0(L,N) & r2_tarski(K,u2_modelc_3(A,k10_modelc_3(k1_funct_1(M,N),A))) & ~ r2_tarski(K,u2_modelc_3(A,k10_modelc_3(k1_funct_1(M,k1_nat_1(N,1)),A))) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v1_modelc_2(O) & m2_finseq_1(O,k4_ordinal1) ) => ! [P] : ( v7_ordinal1(P) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ~ ( r1_xxreal_0(k3_finseq_1(Q),F) & r5_modelc_3(A,Q) & r2_tarski(O,u2_modelc_3(A,k10_modelc_3(k1_funct_1(Q,1),A))) & ~ r1_xxreal_0(P,1) & r1_xxreal_0(P,k3_finseq_1(Q)) & ~ r2_tarski(O,u2_modelc_3(A,k10_modelc_3(k1_funct_1(Q,P),A))) & ! [R] : ( v7_ordinal1(R) => ~ ( r1_xxreal_0(1,R) & ~ r1_xxreal_0(P,R) & r2_tarski(O,u2_modelc_3(A,k10_modelc_3(k1_funct_1(Q,R),A))) & ~ r2_tarski(O,u2_modelc_3(A,k10_modelc_3(k1_funct_1(Q,k1_nat_1(R,1)),A))) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_83__jordan1a,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,k5_numbers)))) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,C)))) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(C,1),A) & r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,k1_nat_1(C,1))))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,C)))) ) ) ) ) )).
fof(s2_nat_1__e4_83__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( ( r1_xxreal_0(k5_numbers,A) => ! [E] : ( ~ v1_xboole_0(E) => ~ ( E = k1_funct_2(k2_finseq_1(k5_numbers),k2_finseq_1(A)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,E,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,u1_struct_0(B)))) ) => ~ ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_finseq_1(k5_numbers),k2_finseq_1(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k5_numbers),k2_finseq_1(A)))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),A,A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ~ ( H = k1_funct_4(k4_matrix_3(B,C,D),k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A),G),D),k2_finseq_1(k5_numbers))) & ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k2_finseq_1(k5_numbers)) => k1_funct_1(H,I) = k1_funct_1(D,k1_funct_1(G,I)) ) & ( ~ r2_tarski(I,k2_finseq_1(k5_numbers)) => k1_funct_1(H,I) = k1_funct_1(k4_matrix_3(B,C,D),I) ) ) ) & ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ~ ( k3_finseq_1(I) = k5_numbers & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r2_tarski(K,k2_finseq_1(k5_numbers)) & J = k1_funct_1(G,K) ) => k1_funct_1(I,K) = k3_matrix_0(u1_struct_0(B),C,K,J) ) ) ) & k1_funct_1(F,G) = k8_group_1(B,k1_finsop_1(u1_struct_0(B),I,u2_algstr_0(B)),k12_matrix_3(A,B,H)) ) ) ) ) ) & k12_matrix_3(A,B,k4_matrix_3(B,C,D)) = k7_setwiseo(E,u1_struct_0(B),u1_algstr_0(B),k6_finsub_1(E),F) ) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ( r1_xxreal_0(L,A) => ! [M] : ( ~ v1_xboole_0(M) => ~ ( M = k1_funct_2(k2_finseq_1(L),k2_finseq_1(A)) & ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,M,u1_struct_0(B)) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(M,u1_struct_0(B)))) ) => ~ ( ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k2_finseq_1(L),k2_finseq_1(A)) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(L),k2_finseq_1(A)))) ) => ! [P] : ( ( v1_matrix_0(P) & v2_matrix_0(P,u1_struct_0(B),A,A) & m2_finseq_1(P,k3_finseq_2(u1_struct_0(B))) ) => ~ ( P = k1_funct_4(k4_matrix_3(B,C,D),k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A),O),D),k2_finseq_1(L))) & ! [Q] : ( v7_ordinal1(Q) => ( ( r2_tarski(Q,k2_finseq_1(L)) => k1_funct_1(P,Q) = k1_funct_1(D,k1_funct_1(O,Q)) ) & ( ~ r2_tarski(Q,k2_finseq_1(L)) => k1_funct_1(P,Q) = k1_funct_1(k4_matrix_3(B,C,D),Q) ) ) ) & ! [Q] : ( m2_finseq_1(Q,u1_struct_0(B)) => ~ ( k3_finseq_1(Q) = L & ! [R] : ( v7_ordinal1(R) => ! [S] : ( v7_ordinal1(S) => ( ( r2_tarski(S,k2_finseq_1(L)) & R = k1_funct_1(O,S) ) => k1_funct_1(Q,S) = k3_matrix_0(u1_struct_0(B),C,S,R) ) ) ) & k1_funct_1(N,O) = k8_group_1(B,k1_finsop_1(u1_struct_0(B),Q,u2_algstr_0(B)),k12_matrix_3(A,B,P)) ) ) ) ) ) & k12_matrix_3(A,B,k4_matrix_3(B,C,D)) = k7_setwiseo(M,u1_struct_0(B),u1_algstr_0(B),k6_finsub_1(M),N) ) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(L,1),A) => ! [T] : ( ~ v1_xboole_0(T) => ~ ( T = k1_funct_2(k2_finseq_1(k1_nat_1(L,1)),k2_finseq_1(A)) & ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,T,u1_struct_0(B)) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(T,u1_struct_0(B)))) ) => ~ ( ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,k2_finseq_1(k1_nat_1(L,1)),k2_finseq_1(A)) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k1_nat_1(L,1)),k2_finseq_1(A)))) ) => ! [W] : ( ( v1_matrix_0(W) & v2_matrix_0(W,u1_struct_0(B),A,A) & m2_finseq_1(W,k3_finseq_2(u1_struct_0(B))) ) => ~ ( W = k1_funct_4(k4_matrix_3(B,C,D),k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A),V),D),k2_finseq_1(k1_nat_1(L,1)))) & ! [X] : ( v7_ordinal1(X) => ( ( r2_tarski(X,k2_finseq_1(k1_nat_1(L,1))) => k1_funct_1(W,X) = k1_funct_1(D,k1_funct_1(V,X)) ) & ( ~ r2_tarski(X,k2_finseq_1(k1_nat_1(L,1))) => k1_funct_1(W,X) = k1_funct_1(k4_matrix_3(B,C,D),X) ) ) ) & ! [X] : ( m2_finseq_1(X,u1_struct_0(B)) => ~ ( k3_finseq_1(X) = k1_nat_1(L,1) & ! [Y] : ( v7_ordinal1(Y) => ! [Z] : ( v7_ordinal1(Z) => ( ( r2_tarski(Z,k2_finseq_1(k1_nat_1(L,1))) & Y = k1_funct_1(V,Z) ) => k1_funct_1(X,Z) = k3_matrix_0(u1_struct_0(B),C,Z,Y) ) ) ) & k1_funct_1(U,V) = k8_group_1(B,k1_finsop_1(u1_struct_0(B),X,u2_algstr_0(B)),k12_matrix_3(A,B,W)) ) ) ) ) ) & k12_matrix_3(A,B,k4_matrix_3(B,C,D)) = k7_setwiseo(T,u1_struct_0(B),u1_algstr_0(B),k6_finsub_1(T),U) ) ) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ( r1_xxreal_0(L,A) => ! [A1] : ( ~ v1_xboole_0(A1) => ~ ( A1 = k1_funct_2(k2_finseq_1(L),k2_finseq_1(A)) & ! [B1] : ( ( v1_funct_1(B1) & v1_funct_2(B1,A1,u1_struct_0(B)) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(A1,u1_struct_0(B)))) ) => ~ ( ! [C1] : ( ( v1_funct_1(C1) & v1_funct_2(C1,k2_finseq_1(L),k2_finseq_1(A)) & m1_subset_1(C1,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(L),k2_finseq_1(A)))) ) => ! [D1] : ( ( v1_matrix_0(D1) & v2_matrix_0(D1,u1_struct_0(B),A,A) & m2_finseq_1(D1,k3_finseq_2(u1_struct_0(B))) ) => ~ ( D1 = k1_funct_4(k4_matrix_3(B,C,D),k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A),C1),D),k2_finseq_1(L))) & ! [E1] : ( v7_ordinal1(E1) => ( ( r2_tarski(E1,k2_finseq_1(L)) => k1_funct_1(D1,E1) = k1_funct_1(D,k1_funct_1(C1,E1)) ) & ( ~ r2_tarski(E1,k2_finseq_1(L)) => k1_funct_1(D1,E1) = k1_funct_1(k4_matrix_3(B,C,D),E1) ) ) ) & ! [E1] : ( m2_finseq_1(E1,u1_struct_0(B)) => ~ ( k3_finseq_1(E1) = L & ! [F1] : ( v7_ordinal1(F1) => ! [G1] : ( v7_ordinal1(G1) => ( ( r2_tarski(G1,k2_finseq_1(L)) & F1 = k1_funct_1(C1,G1) ) => k1_funct_1(E1,G1) = k3_matrix_0(u1_struct_0(B),C,G1,F1) ) ) ) & k1_funct_1(B1,C1) = k8_group_1(B,k1_finsop_1(u1_struct_0(B),E1,u2_algstr_0(B)),k12_matrix_3(A,B,D1)) ) ) ) ) ) & k12_matrix_3(A,B,k4_matrix_3(B,C,D)) = k7_setwiseo(A1,u1_struct_0(B),u1_algstr_0(B),k6_finsub_1(A1),B1) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_84_1__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(1,k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(A)),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(A)),B)) => r1_xxreal_0(1,k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(A)),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(1,k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(A)),B)) ) ) ) )).
fof(s2_nat_1__e4_84__group_9,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(C)) => k1_funct_1(D,G) = k1_funct_1(F,k1_funct_1(C,G)) ) ) & k3_finseq_1(C) = k3_finseq_1(E) & k3_finseq_1(D) = k3_finseq_1(E) & k5_numbers = k3_finseq_1(E) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),F,k3_group_4(A,k4_group_4(A,E,C))) = k3_group_4(B,k4_group_4(B,E,D)) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( ~ v2_struct_0(I) & v2_group_1(I) & v3_group_1(I) & l3_algstr_0(I) ) => ! [J] : ( ( ~ v2_struct_0(J) & v2_group_1(J) & v3_group_1(J) & l3_algstr_0(J) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(I)) => ! [L] : ( m2_finseq_1(L,u1_struct_0(J)) => ! [M] : ( m2_finseq_1(M,k4_numbers) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,u1_struct_0(I),u1_struct_0(J)) & v1_group_6(N,I,J) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(I),u1_struct_0(J)))) ) => ( ( ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k4_finseq_1(K)) => k1_funct_1(L,O) = k1_funct_1(N,k1_funct_1(K,O)) ) ) & k3_finseq_1(K) = k3_finseq_1(M) & k3_finseq_1(L) = k3_finseq_1(M) & H = k3_finseq_1(M) ) => k3_funct_2(u1_struct_0(I),u1_struct_0(J),N,k3_group_4(I,k4_group_4(I,M,K))) = k3_group_4(J,k4_group_4(J,M,L)) ) ) ) ) ) ) ) => ! [P] : ( ( ~ v2_struct_0(P) & v2_group_1(P) & v3_group_1(P) & l3_algstr_0(P) ) => ! [Q] : ( ( ~ v2_struct_0(Q) & v2_group_1(Q) & v3_group_1(Q) & l3_algstr_0(Q) ) => ! [R] : ( m2_finseq_1(R,u1_struct_0(P)) => ! [S] : ( m2_finseq_1(S,u1_struct_0(Q)) => ! [T] : ( m2_finseq_1(T,k4_numbers) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,u1_struct_0(P),u1_struct_0(Q)) & v1_group_6(U,P,Q) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(P),u1_struct_0(Q)))) ) => ( ( ! [V] : ( v7_ordinal1(V) => ( r2_tarski(V,k4_finseq_1(R)) => k1_funct_1(S,V) = k1_funct_1(U,k1_funct_1(R,V)) ) ) & k3_finseq_1(R) = k3_finseq_1(T) & k3_finseq_1(S) = k3_finseq_1(T) & k1_nat_1(H,1) = k3_finseq_1(T) ) => k3_funct_2(u1_struct_0(P),u1_struct_0(Q),U,k3_group_4(P,k4_group_4(P,T,R))) = k3_group_4(Q,k4_group_4(Q,T,S)) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [W] : ( ( ~ v2_struct_0(W) & v2_group_1(W) & v3_group_1(W) & l3_algstr_0(W) ) => ! [X] : ( ( ~ v2_struct_0(X) & v2_group_1(X) & v3_group_1(X) & l3_algstr_0(X) ) => ! [Y] : ( m2_finseq_1(Y,u1_struct_0(W)) => ! [Z] : ( m2_finseq_1(Z,u1_struct_0(X)) => ! [A1] : ( m2_finseq_1(A1,k4_numbers) => ! [B1] : ( ( v1_funct_1(B1) & v1_funct_2(B1,u1_struct_0(W),u1_struct_0(X)) & v1_group_6(B1,W,X) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(W),u1_struct_0(X)))) ) => ( ( ! [C1] : ( v7_ordinal1(C1) => ( r2_tarski(C1,k4_finseq_1(Y)) => k1_funct_1(Z,C1) = k1_funct_1(B1,k1_funct_1(Y,C1)) ) ) & k3_finseq_1(Y) = k3_finseq_1(A1) & k3_finseq_1(Z) = k3_finseq_1(A1) & H = k3_finseq_1(A1) ) => k3_funct_2(u1_struct_0(W),u1_struct_0(X),B1,k3_group_4(W,k4_group_4(W,A1,Y))) = k3_group_4(X,k4_group_4(X,A1,Z)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_84__jordan1a,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,k5_numbers))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,C))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(C,1),A) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,k1_nat_1(C,1)))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,C))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) ) ) ) )).
fof(s2_nat_1__e4_84__modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( r1_xxreal_0(k3_finseq_1(D),k5_numbers) & r5_modelc_3(A,D) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) & r1_xxreal_0(B,k3_finseq_1(D)) ) => ( r1_tarski(u1_modelc_3(A,k10_modelc_3(k1_funct_1(D,C),A)),u1_modelc_3(A,k10_modelc_3(k1_funct_1(D,B),A))) & r1_tarski(u3_modelc_3(A,k10_modelc_3(k1_funct_1(D,C),A)),u3_modelc_3(A,k10_modelc_3(k1_funct_1(D,B),A))) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ( r1_xxreal_0(k3_finseq_1(H),E) & r5_modelc_3(A,H) & r1_xxreal_0(1,G) & r1_xxreal_0(G,F) & r1_xxreal_0(F,k3_finseq_1(H)) ) => ( r1_tarski(u1_modelc_3(A,k10_modelc_3(k1_funct_1(H,G),A)),u1_modelc_3(A,k10_modelc_3(k1_funct_1(H,F),A))) & r1_tarski(u3_modelc_3(A,k10_modelc_3(k1_funct_1(H,G),A)),u3_modelc_3(A,k10_modelc_3(k1_funct_1(H,F),A))) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ( ( r1_xxreal_0(k3_finseq_1(K),k1_nat_1(E,1)) & r5_modelc_3(A,K) & r1_xxreal_0(1,J) & r1_xxreal_0(J,I) & r1_xxreal_0(I,k3_finseq_1(K)) ) => ( r1_tarski(u1_modelc_3(A,k10_modelc_3(k1_funct_1(K,J),A)),u1_modelc_3(A,k10_modelc_3(k1_funct_1(K,I),A))) & r1_tarski(u3_modelc_3(A,k10_modelc_3(k1_funct_1(K,J),A)),u3_modelc_3(A,k10_modelc_3(k1_funct_1(K,I),A))) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) ) => ( ( r1_xxreal_0(k3_finseq_1(N),E) & r5_modelc_3(A,N) & r1_xxreal_0(1,M) & r1_xxreal_0(M,L) & r1_xxreal_0(L,k3_finseq_1(N)) ) => ( r1_tarski(u1_modelc_3(A,k10_modelc_3(k1_funct_1(N,M),A)),u1_modelc_3(A,k10_modelc_3(k1_funct_1(N,L),A))) & r1_tarski(u3_modelc_3(A,k10_modelc_3(k1_funct_1(N,M),A)),u3_modelc_3(A,k10_modelc_3(k1_funct_1(N,L),A))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_85__jordan1a,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,k5_numbers))),k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,C))),k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(C,1),A) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,k1_nat_1(C,1)))),k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,C))),k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) ) ) ) )).
fof(s2_nat_1__e4_87_1__pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & ~ v1_xboole_0(C) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(k5_numbers,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k5_numbers)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k5_numbers),k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),k5_numbers),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),k5_numbers))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F),k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),F))) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(k1_nat_1(F,1),1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k1_nat_1(F,1))) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k1_nat_1(F,1)),k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),k1_nat_1(F,1)))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F),k3_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),F))) ) ) ) ) ) )).
fof(s2_nat_1__e4_88__polynom5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( ( ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_numbers,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & r1_funct_2(k2_numbers,k2_numbers,u1_struct_0(k1_complfld),u1_struct_0(k1_complfld),B,k9_polynom5(k1_complfld,A,k5_numbers)) & r2_cfcont_1(B,k2_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_numbers,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & r1_funct_2(k2_numbers,k2_numbers,u1_struct_0(k1_complfld),u1_struct_0(k1_complfld),D,k9_polynom5(k1_complfld,A,C)) & r2_cfcont_1(D,k2_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_numbers,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & r1_funct_2(k2_numbers,k2_numbers,u1_struct_0(k1_complfld),u1_struct_0(k1_complfld),E,k9_polynom5(k1_complfld,A,k1_nat_1(C,1))) & r2_cfcont_1(E,k2_numbers) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_numbers,k2_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & r1_funct_2(k2_numbers,k2_numbers,u1_struct_0(k1_complfld),u1_struct_0(k1_complfld),F,k9_polynom5(k1_complfld,A,C)) & r2_cfcont_1(F,k2_numbers) ) ) ) ) )).
fof(s2_nat_1__e4_8__fintopo5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r1_tarski(k10_fintopo3(A,k5_numbers,B),k10_fintopo3(A,k5_numbers,B)) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k10_fintopo3(A,k5_numbers,B),k10_fintopo3(A,C,B)) => r1_tarski(k10_fintopo3(A,k5_numbers,B),k10_fintopo3(A,k1_nat_1(C,1),B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k10_fintopo3(A,k5_numbers,B),k10_fintopo3(A,C,B)) ) ) ) )).
fof(s2_nat_1__e4_8__jordan10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,k5_numbers)))) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,C)))) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(C,1),A) & r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,k1_nat_1(C,1))))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,A) & r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,C)))) ) ) ) ) )).
fof(s2_nat_1__e4_8__matrix15,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ( ( k3_finseq_1(A) = k5_numbers & r1_tarski(k10_xtuple_0(A),k2_finseq_1(B)) & v2_funct_1(A) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(C,k4_finseq_1(A)) & r2_tarski(D,k4_finseq_1(A)) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(A,C)) ) ) ) ) => k14_finseq_1(k10_xtuple_0(A)) = A ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ! [G] : ( v7_ordinal1(G) => ( ( k3_finseq_1(F) = E & r1_tarski(k10_xtuple_0(F),k2_finseq_1(G)) & v2_funct_1(F) & ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(H,k4_finseq_1(F)) & r2_tarski(I,k4_finseq_1(F)) & ~ r1_xxreal_0(I,H) & r1_xxreal_0(k1_funct_1(F,I),k1_funct_1(F,H)) ) ) ) ) => k14_finseq_1(k10_xtuple_0(F)) = F ) ) ) => ! [J] : ( m2_finseq_1(J,k4_ordinal1) => ! [K] : ( v7_ordinal1(K) => ( ( k3_finseq_1(J) = k1_nat_1(E,1) & r1_tarski(k10_xtuple_0(J),k2_finseq_1(K)) & v2_funct_1(J) & ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(L,k4_finseq_1(J)) & r2_tarski(M,k4_finseq_1(J)) & ~ r1_xxreal_0(M,L) & r1_xxreal_0(k1_funct_1(J,M),k1_funct_1(J,L)) ) ) ) ) => k14_finseq_1(k10_xtuple_0(J)) = J ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( m2_finseq_1(N,k4_ordinal1) => ! [O] : ( v7_ordinal1(O) => ( ( k3_finseq_1(N) = E & r1_tarski(k10_xtuple_0(N),k2_finseq_1(O)) & v2_funct_1(N) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ~ ( r2_tarski(P,k4_finseq_1(N)) & r2_tarski(Q,k4_finseq_1(N)) & ~ r1_xxreal_0(Q,P) & r1_xxreal_0(k1_funct_1(N,Q),k1_funct_1(N,P)) ) ) ) ) => k14_finseq_1(k10_xtuple_0(N)) = N ) ) ) ) )).
fof(s2_nat_1__e4_8__numeral1,axiom,( ( ? [A] : ( v7_ordinal1(A) & A = k6_xcmplx_0(k1_newton(10,k5_numbers),1) & r1_nat_d(9,A) ) & ! [B] : ( v7_ordinal1(B) => ( ? [C] : ( v7_ordinal1(C) & C = k6_xcmplx_0(k1_newton(10,B),1) & r1_nat_d(9,C) ) => ? [D] : ( v7_ordinal1(D) & D = k6_xcmplx_0(k1_newton(10,k1_nat_1(B,1)),1) & r1_nat_d(9,D) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ? [E] : ( v7_ordinal1(E) & E = k6_xcmplx_0(k1_newton(10,B),1) & r1_nat_d(9,E) ) ) )).
fof(s2_nat_1__e4_8__tietze,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,k3_series_1(A)),k5_numbers),k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,k3_series_1(A)),B),k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) => r1_xxreal_0(k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,k3_series_1(A)),k1_nat_1(B,1)),k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_funct_1(k56_valued_1(k4_ordinal1,k1_numbers,k3_series_1(A)),B),k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) ) ) ) )).
fof(s2_nat_1__e4_8__zfrefle1,axiom,( ( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ~ ( k4_card_1(k2_zf_model(A)) = k5_numbers & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ~ ( k2_zf_model(B) = k1_xboole_0 & ! [C] : ( ~ v1_xboole_0(C) => ( r2_zf_model(C,B) <=> r2_zf_model(C,A) ) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ~ ( k4_card_1(k2_zf_model(E)) = D & ! [F] : ( ( v1_zf_lang(F) & m2_finseq_1(F,k4_ordinal1) ) => ~ ( k2_zf_model(F) = k1_xboole_0 & ! [G] : ( ~ v1_xboole_0(G) => ( r2_zf_model(G,F) <=> r2_zf_model(G,E) ) ) ) ) ) ) => ! [H] : ( ( v1_zf_lang(H) & m2_finseq_1(H,k4_ordinal1) ) => ~ ( k4_card_1(k2_zf_model(H)) = k1_nat_1(D,1) & ! [I] : ( ( v1_zf_lang(I) & m2_finseq_1(I,k4_ordinal1) ) => ~ ( k2_zf_model(I) = k1_xboole_0 & ! [J] : ( ~ v1_xboole_0(J) => ( r2_zf_model(J,I) <=> r2_zf_model(J,H) ) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v1_zf_lang(K) & m2_finseq_1(K,k4_ordinal1) ) => ~ ( k4_card_1(k2_zf_model(K)) = D & ! [L] : ( ( v1_zf_lang(L) & m2_finseq_1(L,k4_ordinal1) ) => ~ ( k2_zf_model(L) = k1_xboole_0 & ! [M] : ( ~ v1_xboole_0(M) => ( r2_zf_model(M,L) <=> r2_zf_model(M,K) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_90_1_2_2__comput_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( k8_nat_1(k2_comput_1(k4_ordinal1),B,k5_numbers) = k8_nat_1(k2_comput_1(k4_ordinal1),A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k2_comput_1(k4_ordinal1),B,C) = k8_nat_1(k2_comput_1(k4_ordinal1),A,C) => k8_nat_1(k2_comput_1(k4_ordinal1),B,k1_nat_1(C,1)) = k8_nat_1(k2_comput_1(k4_ordinal1),A,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_comput_1(k4_ordinal1),B,C) = k8_nat_1(k2_comput_1(k4_ordinal1),A,C) ) ) ) )).
fof(s2_nat_1__e4_91__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_bvfunc_1(E,A,k8_eqrel_1(A,D)) & v1_relat_1(F) & v1_funct_1(F) & v1_fomodel2(F,C,A) & v3_fomodel3(F,C,A,D) ) => ( ( k8_nat_1(k9_funct_2(k35_fomodel1(C),k8_eqrel_1(A,D)),k7_fomodel2(C,k8_eqrel_1(A,D),E,k23_fomodel3(C,A,D,F)),k5_numbers) = k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),A),k7_fomodel2(C,A,B,F),k5_numbers),k17_fomodel3(A,D)) & ! [G] : ( v7_ordinal1(G) => ( k8_nat_1(k9_funct_2(k35_fomodel1(C),k8_eqrel_1(A,D)),k7_fomodel2(C,k8_eqrel_1(A,D),E,k23_fomodel3(C,A,D,F)),G) = k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),A),k7_fomodel2(C,A,B,F),G),k17_fomodel3(A,D)) => k8_nat_1(k9_funct_2(k35_fomodel1(C),k8_eqrel_1(A,D)),k7_fomodel2(C,k8_eqrel_1(A,D),E,k23_fomodel3(C,A,D,F)),k1_nat_1(G,1)) = k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),A),k7_fomodel2(C,A,B,F),k1_nat_1(G,1)),k17_fomodel3(A,D)) ) ) ) => ! [G] : ( v7_ordinal1(G) => k8_nat_1(k9_funct_2(k35_fomodel1(C),k8_eqrel_1(A,D)),k7_fomodel2(C,k8_eqrel_1(A,D),E,k23_fomodel3(C,A,D,F)),G) = k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),A),k7_fomodel2(C,A,B,F),G),k17_fomodel3(A,D)) ) ) ) )).
fof(s2_nat_1__e4_91__fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( k3_finseq_1(B) = k5_numbers => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k2_finseq_1(k5_numbers)) & k1_funct_1(B,C) = k4_struct_0(A) ) <=> k3_group_4(A,B) = k4_struct_0(A) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( k3_finseq_1(E) = D => ( ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k2_finseq_1(D)) & k1_funct_1(E,F) = k4_struct_0(A) ) <=> k3_group_4(A,E) = k4_struct_0(A) ) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( k3_finseq_1(G) = k1_nat_1(D,1) => ( ? [H] : ( v7_ordinal1(H) & r2_tarski(H,k2_finseq_1(k1_nat_1(D,1))) & k1_funct_1(G,H) = k4_struct_0(A) ) <=> k3_group_4(A,G) = k4_struct_0(A) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( k3_finseq_1(I) = D => ( ? [J] : ( v7_ordinal1(J) & r2_tarski(J,k2_finseq_1(D)) & k1_funct_1(I,J) = k4_struct_0(A) ) <=> k3_group_4(A,I) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_93__flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ( ( k7_flang_1(A,k2_flang_2(A,B),k5_numbers) = k1_flang_2(A,B,k5_numbers,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k7_flang_1(A,k2_flang_2(A,B),C) = k1_flang_2(A,B,k5_numbers,C) => k7_flang_1(A,k2_flang_2(A,B),k1_nat_1(C,1)) = k1_flang_2(A,B,k5_numbers,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k7_flang_1(A,k2_flang_2(A,B),C) = k1_flang_2(A,B,k5_numbers,C) ) ) ) )).
fof(s2_nat_1__e4_93__rvsum_1,axiom,( ( ! [A] : ( m2_finseq_2(A,k1_numbers,k4_finseq_2(k5_numbers,k1_numbers)) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(k5_numbers,k1_numbers)) => r1_xxreal_0(k1_square_1(k18_rvsum_1(k15_rvsum_1(k5_numbers,A,B))),k3_xcmplx_0(k18_rvsum_1(k13_rvsum_1(k5_numbers,A)),k18_rvsum_1(k13_rvsum_1(k5_numbers,B)))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(C,k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k4_finseq_2(C,k1_numbers)) => r1_xxreal_0(k1_square_1(k18_rvsum_1(k15_rvsum_1(C,D,E))),k3_xcmplx_0(k18_rvsum_1(k13_rvsum_1(C,D)),k18_rvsum_1(k13_rvsum_1(C,E)))) ) ) => ! [F] : ( m2_finseq_2(F,k1_numbers,k4_finseq_2(k1_nat_1(C,1),k1_numbers)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k4_finseq_2(k1_nat_1(C,1),k1_numbers)) => r1_xxreal_0(k1_square_1(k18_rvsum_1(k15_rvsum_1(k1_nat_1(C,1),F,G))),k3_xcmplx_0(k18_rvsum_1(k13_rvsum_1(k1_nat_1(C,1),F)),k18_rvsum_1(k13_rvsum_1(k1_nat_1(C,1),G)))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_2(H,k1_numbers,k4_finseq_2(C,k1_numbers)) => ! [I] : ( m2_finseq_2(I,k1_numbers,k4_finseq_2(C,k1_numbers)) => r1_xxreal_0(k1_square_1(k18_rvsum_1(k15_rvsum_1(C,H,I))),k3_xcmplx_0(k18_rvsum_1(k13_rvsum_1(C,H)),k18_rvsum_1(k13_rvsum_1(C,I)))) ) ) ) )).
fof(s2_nat_1__e4_93__scm_halt,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(A) & v1_scm_halt(A) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(C,B),k5_numbers) => r1_scm_halt(k4_scmfsa_x(B,A),C,D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(F,u1_struct_0(k1_scmfsa_2)) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(F,B),E) => r1_scm_halt(k4_scmfsa_x(B,A),F,G) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(H,B),k1_nat_1(E,1)) => r1_scm_halt(k4_scmfsa_x(B,A),H,I) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(J,u1_struct_0(k1_scmfsa_2)) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(J,B),E) => r1_scm_halt(k4_scmfsa_x(B,A),J,K) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_95_4_1_2_3_1__mesfunc5,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,k5_numbers) = k5_numbers ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,C) = k5_numbers ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,k1_nat_1(C,1)) = k5_numbers ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(A)) => k8_nat_1(k6_numbers,B,C) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e4_95__polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(k12_polynom1(A,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(A,C))) => ! [G] : ( m2_ideal_1(G,k12_polynom1(A,C),D) => ( ( k4_rlvect_1(k12_polynom1(A,C),G) = k5_algstr_0(k12_polynom1(A,C),F,E) & k3_finseq_1(G) = k5_numbers ) => r2_rewrite1(k3_polyred(A,B,C,D),E,F) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(k12_polynom1(A,C))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k12_polynom1(A,C))) => ! [K] : ( m2_ideal_1(K,k12_polynom1(A,C),D) => ( ( k4_rlvect_1(k12_polynom1(A,C),K) = k5_algstr_0(k12_polynom1(A,C),J,I) & k3_finseq_1(K) = H ) => r2_rewrite1(k3_polyred(A,B,C,D),I,J) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(k12_polynom1(A,C))) => ! [M] : ( m1_subset_1(M,u1_struct_0(k12_polynom1(A,C))) => ! [N] : ( m2_ideal_1(N,k12_polynom1(A,C),D) => ( ( k4_rlvect_1(k12_polynom1(A,C),N) = k5_algstr_0(k12_polynom1(A,C),M,L) & k3_finseq_1(N) = k1_nat_1(H,1) ) => r2_rewrite1(k3_polyred(A,B,C,D),L,M) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( m1_subset_1(O,u1_struct_0(k12_polynom1(A,C))) => ! [P] : ( m1_subset_1(P,u1_struct_0(k12_polynom1(A,C))) => ! [Q] : ( m2_ideal_1(Q,k12_polynom1(A,C),D) => ( ( k4_rlvect_1(k12_polynom1(A,C),Q) = k5_algstr_0(k12_polynom1(A,C),P,O) & k3_finseq_1(Q) = H ) => r2_rewrite1(k3_polyred(A,B,C,D),O,P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e4_98__fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( r1_tarski(k8_funct_7(B,k5_numbers),k8_funct_7(A,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k8_funct_7(B,C),k8_funct_7(A,C)) => r1_tarski(k8_funct_7(B,k1_nat_1(C,1)),k8_funct_7(A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k8_funct_7(B,C),k8_funct_7(A,C)) ) ) ) )).
fof(s2_nat_1__e4_98__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) & v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ( ( v1_funct_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k5_numbers))) & v1_funct_2(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k5_numbers)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k5_numbers),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k5_numbers)) & m1_subset_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k5_numbers)),k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k5_numbers),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k5_numbers)))) & ! [D] : ( v7_ordinal1(D) => ( ( v1_funct_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D))) & v1_funct_2(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)) & m1_subset_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)),k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)))) ) => ( v1_funct_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k1_nat_1(D,1)))) & v1_funct_2(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k1_nat_1(D,1))),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k1_nat_1(D,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k1_nat_1(D,1))) & m1_subset_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k1_nat_1(D,1))),k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k1_nat_1(D,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),k1_nat_1(D,1))))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( v1_funct_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D))) & v1_funct_2(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)) & m1_subset_1(k2_partfun1(k3_finseq_2(k1_fomodel1(A)),k3_finseq_2(k1_fomodel1(A)),k20_fomodel0(k1_fomodel1(A),B,C),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)),k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))),k39_fomodel1(A),D)))) ) ) ) ) )).
fof(s2_nat_1__e4_99_1_2__dilworth,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v4_dilworth(A) & l1_orders_2(A) ) => ~ ( k2_dilworth(A) = k5_numbers & ! [B] : ( ( v5_dilworth(B,A) & m1_eqrel_1(B,u1_struct_0(A)) ) => k1_card_1(B) != k2_dilworth(A) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v5_orders_2(D) & v4_dilworth(D) & l1_orders_2(D) ) => ~ ( k2_dilworth(D) = C & ! [E] : ( ( v5_dilworth(E,D) & m1_eqrel_1(E,u1_struct_0(D)) ) => k1_card_1(E) != k2_dilworth(D) ) ) ) => ! [F] : ( ( ~ v2_struct_0(F) & v4_orders_2(F) & v5_orders_2(F) & v4_dilworth(F) & l1_orders_2(F) ) => ~ ( k2_dilworth(F) = k1_nat_1(C,1) & ! [G] : ( ( v5_dilworth(G,F) & m1_eqrel_1(G,u1_struct_0(F)) ) => k1_card_1(G) != k2_dilworth(F) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( ~ v2_struct_0(H) & v4_orders_2(H) & v5_orders_2(H) & v4_dilworth(H) & l1_orders_2(H) ) => ~ ( k2_dilworth(H) = C & ! [I] : ( ( v5_dilworth(I,H) & m1_eqrel_1(I,u1_struct_0(H)) ) => k1_card_1(I) != k2_dilworth(H) ) ) ) ) )).
fof(s2_nat_1__e4_99__afinsq_2,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_valued_0(A) & v1_finset_1(A) ) => ! [B] : ( v1_xcmplx_0(B) => ( ( k1_afinsq_1(A) = k5_numbers & r1_tarski(k10_xtuple_0(A),k2_tarski(k5_numbers,B)) ) => k7_afinsq_2(A) = k3_xcmplx_0(B,k4_card_1(k8_relat_1(A,k1_tarski(B)))) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_valued_0(D) & v1_finset_1(D) ) => ! [E] : ( v1_xcmplx_0(E) => ( ( k1_afinsq_1(D) = C & r1_tarski(k10_xtuple_0(D),k2_tarski(k5_numbers,E)) ) => k7_afinsq_2(D) = k3_xcmplx_0(E,k4_card_1(k8_relat_1(D,k1_tarski(E)))) ) ) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v5_ordinal1(F) & v1_valued_0(F) & v1_finset_1(F) ) => ! [G] : ( v1_xcmplx_0(G) => ( ( k1_afinsq_1(F) = k1_nat_1(C,1) & r1_tarski(k10_xtuple_0(F),k2_tarski(k5_numbers,G)) ) => k7_afinsq_2(F) = k3_xcmplx_0(G,k4_card_1(k8_relat_1(F,k1_tarski(G)))) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v5_ordinal1(H) & v1_valued_0(H) & v1_finset_1(H) ) => ! [I] : ( v1_xcmplx_0(I) => ( ( k1_afinsq_1(H) = C & r1_tarski(k10_xtuple_0(H),k2_tarski(k5_numbers,I)) ) => k7_afinsq_2(H) = k3_xcmplx_0(I,k4_card_1(k8_relat_1(H,k1_tarski(I)))) ) ) ) ) )).
fof(s2_nat_1__e4_9__comseq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) & v1_xreal_0(D) ) => ( ( ( r1_xxreal_0(k5_numbers,C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k3_xcmplx_0(D,k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers))) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),E),k3_xcmplx_0(D,k8_nat_1(k1_numbers,k3_series_1(B),E))) ) => ( r1_xxreal_0(k1_nat_1(E,1),C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(E,1)),k3_xcmplx_0(D,k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(E,1)))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),E),k3_xcmplx_0(D,k8_nat_1(k1_numbers,k3_series_1(B),E))) ) ) ) ) )).
fof(s2_nat_1__e4_9__mesfun9c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( ( r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,k1_mesfun7c(A,B)),k5_numbers),k4_mesfunc5(A,k6_numbers,k1_mesfun7c(A,k2_mesfun9c(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,k1_mesfun7c(A,B)),C),k4_mesfunc5(A,k6_numbers,k1_mesfun7c(A,k2_mesfun9c(A,B)),C)) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,k1_mesfun7c(A,B)),k1_nat_1(C,1)),k4_mesfunc5(A,k6_numbers,k1_mesfun7c(A,k2_mesfun9c(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,k1_mesfun7c(A,B)),C),k4_mesfunc5(A,k6_numbers,k1_mesfun7c(A,k2_mesfun9c(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e4_9__nat_1,axiom,( ( r1_xxreal_0(k5_numbers,k5_numbers) & ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(k5_numbers,A) => r1_xxreal_0(k5_numbers,k1_nat_1(A,1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k5_numbers,A) ) )).
fof(s2_nat_1__e4_9__ring_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & v1_ring_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( E = k2_xcmplx_0(D,k5_numbers) => r2_hidden(C,k8_nat_1(A,B,E)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( G = k2_xcmplx_0(D,F) => r2_hidden(C,k8_nat_1(A,B,G)) ) ) => ! [H] : ( v7_ordinal1(H) => ( H = k2_xcmplx_0(D,k1_nat_1(F,1)) => r2_hidden(C,k8_nat_1(A,B,H)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( I = k2_xcmplx_0(D,F) => r2_hidden(C,k8_nat_1(A,B,I)) ) ) ) ) ) )).
fof(s2_nat_1__e51_19_1_1_2_1_2__matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_funct_1(C,k2_xcmplx_0(B,k5_numbers)) = k4_struct_0(A) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(C,k2_xcmplx_0(B,D)) = k4_struct_0(A) => k1_funct_1(C,k2_xcmplx_0(B,k1_nat_1(D,1))) = k4_struct_0(A) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,k2_xcmplx_0(B,D)) = k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e57_59__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(A,u1_turing_1(k15_turing_1)) & m2_funct_2(B,k4_numbers,u1_turing_1(k15_turing_1),k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1))) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_numbers) & m1_subset_1(E,k4_numbers) & m1_subset_1(F,k4_numbers) & m1_subset_1(G,u1_turing_1(k15_turing_1)) & m1_subset_1(H,u2_turing_1(k15_turing_1)) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(C,k5_numbers),E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1))),k9_turing_1(k15_turing_1,k4_domain_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1)),H,E,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A))),k5_numbers) = k3_xtuple_0(3,k6_xcmplx_0(E,k5_numbers),k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A)) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(k2_xcmplx_0(C,I),E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1))),k9_turing_1(k15_turing_1,k4_domain_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1)),H,E,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A))),I) = k3_xtuple_0(3,k6_xcmplx_0(E,I),k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A)) ) => ( r1_xxreal_0(k2_xcmplx_0(C,k1_nat_1(I,1)),E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1))),k9_turing_1(k15_turing_1,k4_domain_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1)),H,E,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A))),k1_nat_1(I,1)) = k3_xtuple_0(3,k6_xcmplx_0(E,k1_nat_1(I,1)),k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A)) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(k2_xcmplx_0(C,I),E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1))),k9_turing_1(k15_turing_1,k4_domain_1(u2_turing_1(k15_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k15_turing_1)),H,E,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A))),I) = k3_xtuple_0(3,k6_xcmplx_0(E,I),k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,k4_turing_1(k15_turing_1,B,D,G),E,G),F,A)) ) ) ) ) )).
fof(s2_nat_1__e58_1_1_4_1_2_1_1_2_22_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k5_numbers),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) => r1_xxreal_0(D,B) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,F))) ) => r1_xxreal_0(F,B) ) ) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(C)) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(E,1)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,G))) ) => r1_xxreal_0(G,B) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k4_finseq_1(A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,H))) ) => r1_xxreal_0(H,B) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_100__rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ! [E] : ( v1_finset_1(E) => ( ( k4_card_1(E) = k5_numbers & E = k1_relset_1(A,k2_partfun1(A,k1_numbers,B,D)) & k1_relset_1(A,k2_partfun1(A,k1_numbers,B,D)) = k1_relset_1(A,k2_partfun1(A,k1_numbers,C,D)) ) => k21_rfunct_3(A,k3_valued_1(A,k1_numbers,k1_numbers,B,C),D) = k2_xcmplx_0(k21_rfunct_3(A,B,D),k21_rfunct_3(A,C,D)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [I] : ! [J] : ( v1_finset_1(J) => ( ( k4_card_1(J) = F & J = k1_relset_1(A,k2_partfun1(A,k1_numbers,G,I)) & k1_relset_1(A,k2_partfun1(A,k1_numbers,G,I)) = k1_relset_1(A,k2_partfun1(A,k1_numbers,H,I)) ) => k21_rfunct_3(A,k3_valued_1(A,k1_numbers,k1_numbers,G,H),I) = k2_xcmplx_0(k21_rfunct_3(A,G,I),k21_rfunct_3(A,H,I)) ) ) ) ) => ! [K] : ( ( v1_funct_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [L] : ( ( v1_funct_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [M] : ! [N] : ( v1_finset_1(N) => ( ( k4_card_1(N) = k1_nat_1(F,1) & N = k1_relset_1(A,k2_partfun1(A,k1_numbers,K,M)) & k1_relset_1(A,k2_partfun1(A,k1_numbers,K,M)) = k1_relset_1(A,k2_partfun1(A,k1_numbers,L,M)) ) => k21_rfunct_3(A,k3_valued_1(A,k1_numbers,k1_numbers,K,L),M) = k2_xcmplx_0(k21_rfunct_3(A,K,M),k21_rfunct_3(A,L,M)) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( ( v1_funct_1(O) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [P] : ( ( v1_funct_1(P) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [Q] : ! [R] : ( v1_finset_1(R) => ( ( k4_card_1(R) = F & R = k1_relset_1(A,k2_partfun1(A,k1_numbers,O,Q)) & k1_relset_1(A,k2_partfun1(A,k1_numbers,O,Q)) = k1_relset_1(A,k2_partfun1(A,k1_numbers,P,Q)) ) => k21_rfunct_3(A,k3_valued_1(A,k1_numbers,k1_numbers,O,P),Q) = k2_xcmplx_0(k21_rfunct_3(A,O,Q),k21_rfunct_3(A,P,Q)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_105__funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ( ( r1_tarski(k9_xtuple_0(k8_funct_7(A,k1_nat_1(k5_numbers,1))),k9_xtuple_0(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k1_nat_1(k5_numbers,1))),k10_xtuple_0(A)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_tarski(k9_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))),k9_xtuple_0(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))),k10_xtuple_0(A)) ) => ( r1_tarski(k9_xtuple_0(k8_funct_7(A,k1_nat_1(k1_nat_1(B,1),1))),k9_xtuple_0(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k1_nat_1(k1_nat_1(B,1),1))),k10_xtuple_0(A)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k9_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))),k9_xtuple_0(A)) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))),k10_xtuple_0(A)) ) ) ) ) )).
fof(s2_nat_1__e5_106__fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ( ( ( k1_funct_1(B,k5_numbers) = A & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k5_numbers,D) => k1_funct_1(B,k2_xcmplx_0(D,1)) = k1_funct_1(C,k1_funct_1(B,D)) ) ) ) => k1_funct_1(B,k5_numbers) = k1_funct_1(k8_funct_7(C,k5_numbers),A) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( k1_funct_1(B,k5_numbers) = A & ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => k1_funct_1(B,k2_xcmplx_0(F,1)) = k1_funct_1(C,k1_funct_1(B,F)) ) ) ) => k1_funct_1(B,E) = k1_funct_1(k8_funct_7(C,E),A) ) => ( ( k1_funct_1(B,k5_numbers) = A & ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(k1_nat_1(E,1),G) => k1_funct_1(B,k2_xcmplx_0(G,1)) = k1_funct_1(C,k1_funct_1(B,G)) ) ) ) => k1_funct_1(B,k1_nat_1(E,1)) = k1_funct_1(k8_funct_7(C,k1_nat_1(E,1)),A) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( k1_funct_1(B,k5_numbers) = A & ! [H] : ( v7_ordinal1(H) => ( ~ r1_xxreal_0(E,H) => k1_funct_1(B,k2_xcmplx_0(H,1)) = k1_funct_1(C,k1_funct_1(B,H)) ) ) ) => k1_funct_1(B,E) = k1_funct_1(k8_funct_7(C,E),A) ) ) ) ) )).
fof(s2_nat_1__e5_106__funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ( ( k9_xtuple_0(k8_funct_7(A,k5_numbers)) = k9_xtuple_0(A) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k5_numbers)),k9_xtuple_0(A)) & ! [B] : ( v7_ordinal1(B) => ( ( k9_xtuple_0(k8_funct_7(A,B)) = k9_xtuple_0(A) & r1_tarski(k10_xtuple_0(k8_funct_7(A,B)),k9_xtuple_0(A)) ) => ( k9_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))) = k9_xtuple_0(A) & r1_tarski(k10_xtuple_0(k8_funct_7(A,k1_nat_1(B,1))),k9_xtuple_0(A)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k9_xtuple_0(k8_funct_7(A,B)) = k9_xtuple_0(A) & r1_tarski(k10_xtuple_0(k8_funct_7(A,B)),k9_xtuple_0(A)) ) ) ) ) )).
fof(s2_nat_1__e5_10__hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( k3_finseq_1(C) = k5_numbers => k6_algstr_0(A,B,k4_rlvect_1(A,C)) = k4_rlvect_1(A,k9_fvsum_1(A,C,B)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( k3_finseq_1(F) = D => k6_algstr_0(A,E,k4_rlvect_1(A,F)) = k4_rlvect_1(A,k9_fvsum_1(A,F,E)) ) ) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( k3_finseq_1(H) = k1_nat_1(D,1) => k6_algstr_0(A,G,k4_rlvect_1(A,H)) = k4_rlvect_1(A,k9_fvsum_1(A,H,G)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( k3_finseq_1(J) = D => k6_algstr_0(A,I,k4_rlvect_1(A,J)) = k4_rlvect_1(A,k9_fvsum_1(A,J,I)) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_10__rewrite1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ~ ( A != k1_xboole_0 & k3_finseq_1(A) = k5_numbers & ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( A = k7_finseq_1(k9_finseq_1(B),C) & k3_finseq_1(A) = k1_nat_1(k3_finseq_1(C),1) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( E != k1_xboole_0 & k3_finseq_1(E) = D & ! [F] : ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ~ ( E = k7_finseq_1(k9_finseq_1(F),G) & k3_finseq_1(E) = k1_nat_1(k3_finseq_1(G),1) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ~ ( H != k1_xboole_0 & k3_finseq_1(H) = k1_nat_1(D,1) & ! [I] : ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) ) => ~ ( H = k7_finseq_1(k9_finseq_1(I),J) & k3_finseq_1(H) = k1_nat_1(k3_finseq_1(J),1) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ~ ( K != k1_xboole_0 & k3_finseq_1(K) = D & ! [L] : ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) ) => ~ ( K = k7_finseq_1(k9_finseq_1(L),M) & k3_finseq_1(K) = k1_nat_1(k3_finseq_1(M),1) ) ) ) ) ) )).
fof(s2_nat_1__e5_110__jordan2c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = k3_tarski(a_1_9_jordan2c(A)) => v2_tops_1(B,k15_euclid(2)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( D = k3_tarski(a_2_13_jordan2c(A,C)) => v2_tops_1(D,k15_euclid(2)) ) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( E = k3_tarski(a_2_14_jordan2c(A,C)) => v2_tops_1(E,k15_euclid(2)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( F = k3_tarski(a_2_13_jordan2c(A,C)) => v2_tops_1(F,k15_euclid(2)) ) ) ) ) ) )).
fof(s2_nat_1__e5_112__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) & v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) & v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k23_modelc_3(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k23_modelc_3(C)))) ) => ( ( ( ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(k5_numbers,E) & r2_tarski(B,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C))) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k5_numbers,E) | ( r2_tarski(A,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C))) & r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,E),C))) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & ~ r1_xxreal_0(F,G) & r2_tarski(B,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,G),C))) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(F,G) | ( r2_tarski(A,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,G),C))) & r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,G),C))) ) ) ) ) ) => ( ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & ~ r1_xxreal_0(k1_nat_1(F,1),H) & r2_tarski(B,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,H),C))) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k1_nat_1(F,1),H) | ( r2_tarski(A,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,H),C))) & r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,H),C))) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(1,I) & ~ r1_xxreal_0(F,I) & r2_tarski(B,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,I),C))) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(1,I) => ( r1_xxreal_0(F,I) | ( r2_tarski(A,u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,I),C))) & r2_tarski(k7_modelc_2(A,B),u1_modelc_3(C,k10_modelc_3(k8_nat_1(k23_modelc_3(C),D,I),C))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_113__pepin,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,k5_numbers) & r1_xxreal_0(k1_newton(A,k5_numbers),1) ) & ! [B] : ( v7_ordinal1(B) => ( ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k1_newton(A,B),1) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(B,1),k5_numbers) & r1_xxreal_0(k1_newton(A,k1_nat_1(B,1)),1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k1_newton(A,B),1) ) ) ) ) )).
fof(s2_nat_1__e5_11_1__rearran1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(B,k5_numbers) & r2_tarski(B,k4_finseq_1(A)) & r2_tarski(k5_numbers,k4_finseq_1(A)) ) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k5_numbers)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,C) & r2_tarski(D,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => r1_tarski(k1_funct_1(A,D),k1_funct_1(A,C)) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k1_nat_1(C,1)) & r2_tarski(E,k4_finseq_1(A)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) ) => r1_tarski(k1_funct_1(A,E),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,C) & r2_tarski(F,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => r1_tarski(k1_funct_1(A,F),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(s2_nat_1__e5_11_8__topmetr3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r2_tarski(k1_funct_1(B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k1_funct_1(B,C),A) => r2_tarski(k1_funct_1(B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(k1_funct_1(B,C),A) ) ) ) )).
fof(s2_nat_1__e5_11__measure7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v6_supinf_2(D) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_measure7(A,k1_partfun1(A,k4_ordinal1,k4_ordinal1,k6_numbers,B,D))),k5_numbers),k12_supinf_2(k16_supinf_2(D),C)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( m1_subset_1(F,k4_ordinal1) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v6_supinf_2(G) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_measure7(A,k1_partfun1(A,k4_ordinal1,k4_ordinal1,k6_numbers,B,G))),E),k12_supinf_2(k16_supinf_2(G),F)) ) ) ) => ? [H] : ( m1_subset_1(H,k4_ordinal1) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k6_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v6_supinf_2(I) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_measure7(A,k1_partfun1(A,k4_ordinal1,k4_ordinal1,k6_numbers,B,I))),k1_nat_1(E,1)),k12_supinf_2(k16_supinf_2(I),H)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ? [J] : ( m1_subset_1(J,k4_ordinal1) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k6_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v6_supinf_2(K) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k1_measure7(A,k1_partfun1(A,k4_ordinal1,k4_ordinal1,k6_numbers,B,K))),E),k12_supinf_2(k16_supinf_2(K),J)) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_11__ntalgo_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k4_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k4_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k4_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k4_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(L) & v1_funct_2(L,k4_ordinal1,k4_numbers) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,k4_numbers) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(N) & v1_funct_2(N,k4_ordinal1,k4_numbers) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(O) & v1_funct_2(O,k4_ordinal1,k4_numbers) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) & v1_funct_1(P) & v1_funct_2(P,k4_ordinal1,k4_numbers) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( k8_nat_1(k4_numbers,A,k5_numbers) = k8_nat_1(k4_numbers,I,k5_numbers) & k8_nat_1(k4_numbers,B,k5_numbers) = k8_nat_1(k4_numbers,J,k5_numbers) & k8_nat_1(k4_numbers,C,k5_numbers) = k8_nat_1(k4_numbers,K,k5_numbers) & k8_nat_1(k4_numbers,D,k5_numbers) = k8_nat_1(k4_numbers,L,k5_numbers) & k8_nat_1(k4_numbers,E,k5_numbers) = k8_nat_1(k4_numbers,M,k5_numbers) & k8_nat_1(k4_numbers,F,k5_numbers) = k8_nat_1(k4_numbers,N,k5_numbers) & k8_nat_1(k4_numbers,G,k5_numbers) = k8_nat_1(k4_numbers,O,k5_numbers) & k8_nat_1(k4_numbers,H,k5_numbers) = k8_nat_1(k4_numbers,P,k5_numbers) & ! [Q] : ( v7_ordinal1(Q) => ( ( k8_nat_1(k4_numbers,A,Q) = k8_nat_1(k4_numbers,I,Q) & k8_nat_1(k4_numbers,B,Q) = k8_nat_1(k4_numbers,J,Q) & k8_nat_1(k4_numbers,C,Q) = k8_nat_1(k4_numbers,K,Q) & k8_nat_1(k4_numbers,D,Q) = k8_nat_1(k4_numbers,L,Q) & k8_nat_1(k4_numbers,E,Q) = k8_nat_1(k4_numbers,M,Q) & k8_nat_1(k4_numbers,F,Q) = k8_nat_1(k4_numbers,N,Q) & k8_nat_1(k4_numbers,G,Q) = k8_nat_1(k4_numbers,O,Q) & k8_nat_1(k4_numbers,H,Q) = k8_nat_1(k4_numbers,P,Q) ) => ( k8_nat_1(k4_numbers,A,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,I,k1_nat_1(Q,1)) & k8_nat_1(k4_numbers,B,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,J,k1_nat_1(Q,1)) & k8_nat_1(k4_numbers,C,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,K,k1_nat_1(Q,1)) & k8_nat_1(k4_numbers,D,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,L,k1_nat_1(Q,1)) & k8_nat_1(k4_numbers,E,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,M,k1_nat_1(Q,1)) & k8_nat_1(k4_numbers,F,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,N,k1_nat_1(Q,1)) & k8_nat_1(k4_numbers,G,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,O,k1_nat_1(Q,1)) & k8_nat_1(k4_numbers,H,k1_nat_1(Q,1)) = k8_nat_1(k4_numbers,P,k1_nat_1(Q,1)) ) ) ) ) => ! [Q] : ( v7_ordinal1(Q) => ( k8_nat_1(k4_numbers,A,Q) = k8_nat_1(k4_numbers,I,Q) & k8_nat_1(k4_numbers,B,Q) = k8_nat_1(k4_numbers,J,Q) & k8_nat_1(k4_numbers,C,Q) = k8_nat_1(k4_numbers,K,Q) & k8_nat_1(k4_numbers,D,Q) = k8_nat_1(k4_numbers,L,Q) & k8_nat_1(k4_numbers,E,Q) = k8_nat_1(k4_numbers,M,Q) & k8_nat_1(k4_numbers,F,Q) = k8_nat_1(k4_numbers,N,Q) & k8_nat_1(k4_numbers,G,Q) = k8_nat_1(k4_numbers,O,Q) & k8_nat_1(k4_numbers,H,Q) = k8_nat_1(k4_numbers,P,Q) ) ) ) ) )).
fof(s2_nat_1__e5_11__rvsum_3,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( r2_classes1(A,B) & k3_finseq_1(A) = k5_numbers ) => k21_rvsum_1(A) = k21_rvsum_1(B) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( ( r2_classes1(D,E) & k3_finseq_1(D) = C ) => k21_rvsum_1(D) = k21_rvsum_1(E) ) ) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ! [G] : ( m2_finseq_1(G,k1_numbers) => ( ( r2_classes1(F,G) & k3_finseq_1(F) = k1_nat_1(C,1) ) => k21_rvsum_1(F) = k21_rvsum_1(G) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( r2_classes1(H,I) & k3_finseq_1(H) = C ) => k21_rvsum_1(H) = k21_rvsum_1(I) ) ) ) ) )).
fof(s2_nat_1__e5_123__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k5_numbers))))) & ! [B] : ( v7_ordinal1(B) => ( k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B))))) => k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k1_nat_1(B,1)))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B))))) ) ) ) )).
fof(s2_nat_1__e5_12_8__topmetr3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r2_tarski(k8_nat_1(k1_numbers,B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k8_nat_1(k1_numbers,B,C),A) => r2_tarski(k8_nat_1(k1_numbers,B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(k8_nat_1(k1_numbers,B,C),A) ) ) ) )).
fof(s2_nat_1__e5_12__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( ( ! [G] : ( v7_ordinal1(G) => ( ( G = k5_numbers & r1_xxreal_0(G,E) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,G),D,F) = k1_bcialg_2(A,k1_bcialg_2(A,B,D,F),C,G) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( v7_ordinal1(I) => ( ( I = H & r1_xxreal_0(I,E) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,I),D,F) = k1_bcialg_2(A,k1_bcialg_2(A,B,D,F),C,I) ) ) => ! [J] : ( v7_ordinal1(J) => ( ( J = k1_nat_1(H,1) & r1_xxreal_0(J,E) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,J),D,F) = k1_bcialg_2(A,k1_bcialg_2(A,B,D,F),C,J) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [K] : ( v7_ordinal1(K) => ( ( K = H & r1_xxreal_0(K,E) ) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,K),D,F) = k1_bcialg_2(A,k1_bcialg_2(A,B,D,F),C,K) ) ) ) ) ) )).
fof(s2_nat_1__e5_12__groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r1_tarski(k3_polynom1(k15_pre_poly(A),C,D),k3_polynom1(k15_pre_poly(A),C,E)) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,D)) = k5_numbers ) => r1_polyred(A,B,C,D,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(H,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r1_tarski(k3_polynom1(k15_pre_poly(A),C,G),k3_polynom1(k15_pre_poly(A),C,H)) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,G)) = F ) => r1_polyred(A,B,C,G,H) ) ) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(I,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r1_tarski(k3_polynom1(k15_pre_poly(A),C,I),k3_polynom1(k15_pre_poly(A),C,J)) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,I)) = k1_nat_1(F,1) ) => r1_polyred(A,B,C,I,J) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(K,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(L,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r1_tarski(k3_polynom1(k15_pre_poly(A),C,K),k3_polynom1(k15_pre_poly(A),C,L)) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,K)) = F ) => r1_polyred(A,B,C,K,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_12__urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_urysohn3(D,A,B,C) & v1_xreal_0(E) ) => ( ( k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_urysohn3(E)),E) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k2_xcmplx_0(k1_urysohn3(E),k5_numbers)),E) & ! [F] : ( v7_ordinal1(F) => ( k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_urysohn3(E)),E) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k2_xcmplx_0(k1_urysohn3(E),F)),E) => k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_urysohn3(E)),E) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k2_xcmplx_0(k1_urysohn3(E),k1_nat_1(F,1))),E) ) ) ) => ! [F] : ( v7_ordinal1(F) => k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k1_urysohn3(E)),E) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,k2_xcmplx_0(k1_urysohn3(E),F)),E) ) ) ) )).
fof(s2_nat_1__e5_131__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v19_aofa_a00(D,A) & m1_subset_1(D,u1_struct_0(A)) & v1_funct_1(E) & v1_funct_2(E,k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)))) & v1_funct_1(F) & v1_funct_2(F,k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D)))) ) => ( ( k1_funct_1(E,k5_numbers) = k1_funct_1(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ( k1_funct_1(E,G) = k1_funct_1(F,G) => k1_funct_1(E,k1_nat_1(G,1)) = k1_funct_1(F,k1_nat_1(G,1)) ) ) ) => ! [G] : ( v7_ordinal1(G) => k1_funct_1(E,G) = k1_funct_1(F,G) ) ) ) )).
fof(s2_nat_1__e5_136__finseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(A) => ( ( k2_finseq_2(k2_xcmplx_0(A,k5_numbers),B) = k7_finseq_1(k2_finseq_2(A,B),k2_finseq_2(k5_numbers,B)) & ! [C] : ( v7_ordinal1(C) => ( k2_finseq_2(k2_xcmplx_0(A,C),B) = k7_finseq_1(k2_finseq_2(A,B),k2_finseq_2(C,B)) => k2_finseq_2(k2_xcmplx_0(A,k1_nat_1(C,1)),B) = k7_finseq_1(k2_finseq_2(A,B),k2_finseq_2(k1_nat_1(C,1),B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_finseq_2(k2_xcmplx_0(A,C),B) = k7_finseq_1(k2_finseq_2(A,B),k2_finseq_2(C,B)) ) ) ) )).
fof(s2_nat_1__e5_13__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( D = k5_numbers & r1_xxreal_0(D,C) ) => k2_bcialg_1(A,k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D))) = k1_bcialg_2(A,k4_struct_0(A),B,D) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ( F = E & r1_xxreal_0(F,C) ) => k2_bcialg_1(A,k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,F))) = k1_bcialg_2(A,k4_struct_0(A),B,F) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( G = k1_nat_1(E,1) & r1_xxreal_0(G,C) ) => k2_bcialg_1(A,k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,G))) = k1_bcialg_2(A,k4_struct_0(A),B,G) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => ( ( H = E & r1_xxreal_0(H,C) ) => k2_bcialg_1(A,k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,H))) = k1_bcialg_2(A,k4_struct_0(A),B,H) ) ) ) ) ) )).
fof(s2_nat_1__e5_13__brouwer3,axiom,( ( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ( ( v3_topdim_1(A) & v5_waybel23(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xxreal_0(k2_topdim_1(A,k3_subset_1(u1_struct_0(A),B)),k5_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k8_toprealb(k1_nat_1(k5_numbers,1)))) & v5_pre_topc(C,k1_pre_topc(A,B),k8_toprealb(k1_nat_1(k5_numbers,1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k8_toprealb(k1_nat_1(k5_numbers,1)))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k8_toprealb(k1_nat_1(k5_numbers,1)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k8_toprealb(k1_nat_1(k5_numbers,1)))))) & v5_pre_topc(D,A,k8_toprealb(k1_nat_1(k5_numbers,1))) & k2_partfun1(u1_struct_0(A),u1_struct_0(k8_toprealb(k1_nat_1(k5_numbers,1))),D,B) = C ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v2_pre_topc(F) & v3_pcomps_1(F) & l1_pre_topc(F) ) => ( ( v3_topdim_1(F) & v5_waybel23(F) ) => ! [G] : ( ( v4_pre_topc(G,F) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(F))) ) => ( r1_xxreal_0(k2_topdim_1(F,k3_subset_1(u1_struct_0(F),G)),E) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k1_pre_topc(F,G)),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))) & v5_pre_topc(H,k1_pre_topc(F,G),k8_toprealb(k1_nat_1(E,1))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(F,G)),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))))) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(F),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))))) & v5_pre_topc(I,F,k8_toprealb(k1_nat_1(E,1))) & k2_partfun1(u1_struct_0(F),u1_struct_0(k8_toprealb(k1_nat_1(E,1))),I,G) = H ) ) ) ) ) ) => ! [J] : ( ( v2_pre_topc(J) & v3_pcomps_1(J) & l1_pre_topc(J) ) => ( ( v3_topdim_1(J) & v5_waybel23(J) ) => ! [K] : ( ( v4_pre_topc(K,J) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(J))) ) => ( r1_xxreal_0(k2_topdim_1(J,k3_subset_1(u1_struct_0(J),K)),k1_nat_1(E,1)) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,u1_struct_0(k1_pre_topc(J,K)),u1_struct_0(k8_toprealb(k1_nat_1(k1_nat_1(E,1),1)))) & v5_pre_topc(L,k1_pre_topc(J,K),k8_toprealb(k1_nat_1(k1_nat_1(E,1),1))) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(J,K)),u1_struct_0(k8_toprealb(k1_nat_1(k1_nat_1(E,1),1)))))) ) => ? [M] : ( v1_funct_1(M) & v1_funct_2(M,u1_struct_0(J),u1_struct_0(k8_toprealb(k1_nat_1(k1_nat_1(E,1),1)))) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(J),u1_struct_0(k8_toprealb(k1_nat_1(k1_nat_1(E,1),1)))))) & v5_pre_topc(M,J,k8_toprealb(k1_nat_1(k1_nat_1(E,1),1))) & k2_partfun1(u1_struct_0(J),u1_struct_0(k8_toprealb(k1_nat_1(k1_nat_1(E,1),1))),M,K) = L ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( ( v2_pre_topc(N) & v3_pcomps_1(N) & l1_pre_topc(N) ) => ( ( v3_topdim_1(N) & v5_waybel23(N) ) => ! [O] : ( ( v4_pre_topc(O,N) & m1_subset_1(O,k1_zfmisc_1(u1_struct_0(N))) ) => ( r1_xxreal_0(k2_topdim_1(N,k3_subset_1(u1_struct_0(N),O)),E) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,u1_struct_0(k1_pre_topc(N,O)),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))) & v5_pre_topc(P,k1_pre_topc(N,O),k8_toprealb(k1_nat_1(E,1))) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(N,O)),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))))) ) => ? [Q] : ( v1_funct_1(Q) & v1_funct_2(Q,u1_struct_0(N),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(N),u1_struct_0(k8_toprealb(k1_nat_1(E,1)))))) & v5_pre_topc(Q,N,k8_toprealb(k1_nat_1(E,1))) & k2_partfun1(u1_struct_0(N),u1_struct_0(k8_toprealb(k1_nat_1(E,1))),Q,O) = P ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_13__euler_2,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( ( r2_classes1(A,B) & k3_finseq_1(A) = k5_numbers ) => k2_wsierp_1(A) = k2_wsierp_1(B) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( ( r2_classes1(D,E) & k3_finseq_1(D) = C ) => k2_wsierp_1(D) = k2_wsierp_1(E) ) ) ) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ( ( r2_classes1(F,G) & k3_finseq_1(F) = k1_nat_1(C,1) ) => k2_wsierp_1(F) = k2_wsierp_1(G) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ! [I] : ( m2_finseq_1(I,k4_ordinal1) => ( ( r2_classes1(H,I) & k3_finseq_1(H) = C ) => k2_wsierp_1(H) = k2_wsierp_1(I) ) ) ) ) )).
fof(s2_nat_1__e5_13__uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ( k1_binop_1(k4_group_1(A),B,k3_xcmplx_0(C,k5_numbers)) = k1_binop_1(k4_group_1(A),k1_binop_1(k4_group_1(A),B,C),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_binop_1(k4_group_1(A),B,k3_xcmplx_0(C,D)) = k1_binop_1(k4_group_1(A),k1_binop_1(k4_group_1(A),B,C),D) => k1_binop_1(k4_group_1(A),B,k3_xcmplx_0(C,k1_nat_1(D,1))) = k1_binop_1(k4_group_1(A),k1_binop_1(k4_group_1(A),B,C),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k4_group_1(A),B,k3_xcmplx_0(C,D)) = k1_binop_1(k4_group_1(A),k1_binop_1(k4_group_1(A),B,C),D) ) ) ) )).
fof(s2_nat_1__e5_14__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k2_xcmplx_0(E,D)) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,E),k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k2_xcmplx_0(G,D)) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,G),k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D))) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k2_xcmplx_0(H,D)) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,H),k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k2_xcmplx_0(I,D)) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,I),k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D))) ) ) ) ) ) )).
fof(s2_nat_1__e5_14__int_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( k4_nat_d(k1_newton(A,k5_numbers),C) = k4_nat_d(k1_newton(B,k5_numbers),C) & ! [D] : ( v7_ordinal1(D) => ( k4_nat_d(k1_newton(A,D),C) = k4_nat_d(k1_newton(B,D),C) => k4_nat_d(k1_newton(A,k1_nat_1(D,1)),C) = k4_nat_d(k1_newton(B,k1_nat_1(D,1)),C) ) ) ) => ! [D] : ( v7_ordinal1(D) => k4_nat_d(k1_newton(A,D),C) = k4_nat_d(k1_newton(B,D),C) ) ) ) )).
fof(s2_nat_1__e5_14__wsierp_1,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => ( ( r1_int_2(k1_newton(A,k5_numbers),B) & ! [C] : ( v7_ordinal1(C) => ( r1_int_2(k1_newton(A,C),B) => r1_int_2(k1_newton(A,k1_nat_1(C,1)),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_int_2(k1_newton(A,C),B) ) ) ) )).
fof(s2_nat_1__e5_153__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( ( ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [F] : ( ( v3_fomodel2(F,B,k5_numbers) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k5_relat_1(D,k37_fomodel1(B)) = k5_relat_1(E,k37_fomodel1(B)) & ! [G] : ( ( v3_fomodel2(G,C,k5_numbers) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => ~ ( F = G & k25_fomodel2(B,A,D,F) = k25_fomodel2(C,A,E,G) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m2_subset_1(I,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [J] : ( m2_subset_1(J,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [K] : ( ( v3_fomodel2(K,B,H) & m2_subset_1(K,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k5_relat_1(I,k37_fomodel1(B)) = k5_relat_1(J,k37_fomodel1(B)) & ! [L] : ( ( v3_fomodel2(L,C,H) & m2_subset_1(L,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => ~ ( K = L & k25_fomodel2(B,A,I,K) = k25_fomodel2(C,A,J,L) ) ) ) ) ) ) => ! [M] : ( m2_subset_1(M,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [N] : ( m2_subset_1(N,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [O] : ( ( v3_fomodel2(O,B,k1_nat_1(H,1)) & m2_subset_1(O,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k5_relat_1(M,k37_fomodel1(B)) = k5_relat_1(N,k37_fomodel1(B)) & ! [P] : ( ( v3_fomodel2(P,C,k1_nat_1(H,1)) & m2_subset_1(P,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => ~ ( O = P & k25_fomodel2(B,A,M,O) = k25_fomodel2(C,A,N,P) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ( m2_subset_1(Q,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [R] : ( m2_subset_1(R,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [S] : ( ( v3_fomodel2(S,B,H) & m2_subset_1(S,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k5_relat_1(Q,k37_fomodel1(B)) = k5_relat_1(R,k37_fomodel1(B)) & ! [T] : ( ( v3_fomodel2(T,C,H) & m2_subset_1(T,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => ~ ( S = T & k25_fomodel2(B,A,Q,S) = k25_fomodel2(C,A,R,T) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_158__comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( k1_recdef_1(k15_comput_1,k10_finseq_1(A,k5_numbers)) = k2_xcmplx_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_recdef_1(k15_comput_1,k10_finseq_1(A,B)) = k2_xcmplx_0(A,B) => k1_recdef_1(k15_comput_1,k10_finseq_1(A,k1_nat_1(B,1))) = k2_xcmplx_0(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_recdef_1(k15_comput_1,k10_finseq_1(A,B)) = k2_xcmplx_0(A,B) ) ) ) )).
fof(s2_nat_1__e5_15__euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( k3_finseq_1(B) = k5_numbers => ( A = k5_numbers | k4_nat_d(k2_wsierp_1(k2_euler_2(B,A)),A) = k4_nat_d(k2_wsierp_1(B),A) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( k3_finseq_1(D) = C => ( A = k5_numbers | k4_nat_d(k2_wsierp_1(k2_euler_2(D,A)),A) = k4_nat_d(k2_wsierp_1(D),A) ) ) ) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( k3_finseq_1(E) = k1_nat_1(C,1) => ( A = k5_numbers | k4_nat_d(k2_wsierp_1(k2_euler_2(E,A)),A) = k4_nat_d(k2_wsierp_1(E),A) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ( k3_finseq_1(F) = C => ( A = k5_numbers | k4_nat_d(k2_wsierp_1(k2_euler_2(F,A)),A) = k4_nat_d(k2_wsierp_1(F),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_15__finsop_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( ( r1_xxreal_0(1,k3_finseq_1(C)) & k3_finseq_1(C) = k5_numbers & k3_finseq_1(C) = k3_finseq_1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & v3_funct_2(E,k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,C),k1_relset_1(k4_ordinal1,C)))) ) => ( ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k1_relset_1(k4_ordinal1,D)) => k1_funct_1(D,F) = k1_funct_1(C,k1_funct_1(E,F)) ) ) => k1_finsop_1(A,C,B) = k1_finsop_1(A,D,B) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,A) => ! [I] : ( m2_finseq_1(I,A) => ( ( r1_xxreal_0(1,k3_finseq_1(H)) & k3_finseq_1(H) = G & k3_finseq_1(H) = k3_finseq_1(I) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_relset_1(k4_ordinal1,H),k1_relset_1(k4_ordinal1,H)) & v3_funct_2(J,k1_relset_1(k4_ordinal1,H),k1_relset_1(k4_ordinal1,H)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,H),k1_relset_1(k4_ordinal1,H)))) ) => ( ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k1_relset_1(k4_ordinal1,I)) => k1_funct_1(I,K) = k1_funct_1(H,k1_funct_1(J,K)) ) ) => k1_finsop_1(A,H,B) = k1_finsop_1(A,I,B) ) ) ) ) ) => ! [L] : ( m2_finseq_1(L,A) => ! [M] : ( m2_finseq_1(M,A) => ( ( r1_xxreal_0(1,k3_finseq_1(L)) & k3_finseq_1(L) = k1_nat_1(G,1) & k3_finseq_1(L) = k3_finseq_1(M) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k1_relset_1(k4_ordinal1,L),k1_relset_1(k4_ordinal1,L)) & v3_funct_2(N,k1_relset_1(k4_ordinal1,L),k1_relset_1(k4_ordinal1,L)) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,L),k1_relset_1(k4_ordinal1,L)))) ) => ( ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k1_relset_1(k4_ordinal1,M)) => k1_funct_1(M,O) = k1_funct_1(L,k1_funct_1(N,O)) ) ) => k1_finsop_1(A,L,B) = k1_finsop_1(A,M,B) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,A) => ! [Q] : ( m2_finseq_1(Q,A) => ( ( r1_xxreal_0(1,k3_finseq_1(P)) & k3_finseq_1(P) = G & k3_finseq_1(P) = k3_finseq_1(Q) ) => ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,k1_relset_1(k4_ordinal1,P),k1_relset_1(k4_ordinal1,P)) & v3_funct_2(R,k1_relset_1(k4_ordinal1,P),k1_relset_1(k4_ordinal1,P)) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,P),k1_relset_1(k4_ordinal1,P)))) ) => ( ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k1_relset_1(k4_ordinal1,Q)) => k1_funct_1(Q,S) = k1_funct_1(P,k1_funct_1(R,S)) ) ) => k1_finsop_1(A,P,B) = k1_finsop_1(A,Q,B) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_15__rfinseq,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( r2_classes1(A,B) & k3_finseq_1(A) = k5_numbers ) => k18_rvsum_1(A) = k18_rvsum_1(B) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( ( r2_classes1(D,E) & k3_finseq_1(D) = C ) => k18_rvsum_1(D) = k18_rvsum_1(E) ) ) ) => ! [F] : ( m2_finseq_1(F,k1_numbers) => ! [G] : ( m2_finseq_1(G,k1_numbers) => ( ( r2_classes1(F,G) & k3_finseq_1(F) = k1_nat_1(C,1) ) => k18_rvsum_1(F) = k18_rvsum_1(G) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( r2_classes1(H,I) & k3_finseq_1(H) = C ) => k18_rvsum_1(H) = k18_rvsum_1(I) ) ) ) ) )).
fof(s2_nat_1__e5_15__series_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(C),k5_numbers) = k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,k1_nat_1(k5_numbers,1)),k5_numbers),2),k3_xcmplx_0(k5_numbers,B)),B) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(k1_numbers,k3_series_1(C),D) = k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,k1_nat_1(D,1)),D),2),k3_xcmplx_0(D,B)),B) => k8_nat_1(k1_numbers,k3_series_1(C),k1_nat_1(D,1)) = k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,k1_nat_1(k1_nat_1(D,1),1)),k1_nat_1(D,1)),2),k3_xcmplx_0(k1_nat_1(D,1),B)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,k3_series_1(C),D) = k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,k1_nat_1(D,1)),D),2),k3_xcmplx_0(D,B)),B) ) ) ) )).
fof(s2_nat_1__e5_16_3__neckla_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ( r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k2_xcmplx_0(B,C))) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e5_16__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_2(A,k4_struct_0(A),B,D),E)) = k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,E)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_2(A,k4_struct_0(A),B,D),G)) = k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,G)) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_2(A,k4_struct_0(A),B,D),H)) = k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,H)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_2(A,k4_struct_0(A),B,D),I)) = k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,I)) ) ) ) ) ) )).
fof(s2_nat_1__e5_16__bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) & v7_ordinal1(C) ) => ( ( k2_bcialg_6(A,B,k2_xcmplx_0(C,k5_numbers)) = k1_bcialg_1(A,k2_bcialg_6(A,B,k5_numbers),k2_bcialg_1(A,k2_bcialg_6(A,B,C))) & ! [D] : ( v7_ordinal1(D) => ( k2_bcialg_6(A,B,k2_xcmplx_0(C,D)) = k1_bcialg_1(A,k2_bcialg_6(A,B,D),k2_bcialg_1(A,k2_bcialg_6(A,B,C))) => k2_bcialg_6(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))) = k1_bcialg_1(A,k2_bcialg_6(A,B,k1_nat_1(D,1)),k2_bcialg_1(A,k2_bcialg_6(A,B,C))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_6(A,B,k2_xcmplx_0(C,D)) = k1_bcialg_1(A,k2_bcialg_6(A,B,D),k2_bcialg_1(A,k2_bcialg_6(A,B,C))) ) ) ) )).
fof(s2_nat_1__e5_16__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(C),k5_numbers),k3_xcmplx_0(A,k1_nat_1(k5_numbers,1))) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(C),D),k3_xcmplx_0(A,k1_nat_1(D,1))) ) => ( r1_xxreal_0(k1_nat_1(D,1),B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(C),k1_nat_1(D,1)),k3_xcmplx_0(A,k1_nat_1(k1_nat_1(D,1),1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(C),D),k3_xcmplx_0(A,k1_nat_1(D,1))) ) ) ) ) )).
fof(s2_nat_1__e5_16__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),2) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),2) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),2) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),2) ) ) ) )).
fof(s2_nat_1__e5_171__comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( k1_recdef_1(k18_comput_1,k10_finseq_1(A,k5_numbers)) = k1_newton(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_recdef_1(k18_comput_1,k10_finseq_1(A,B)) = k1_newton(A,B) => k1_recdef_1(k18_comput_1,k10_finseq_1(A,k1_nat_1(B,1))) = k1_newton(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_recdef_1(k18_comput_1,k10_finseq_1(A,B)) = k1_newton(A,B) ) ) ) )).
fof(s2_nat_1__e5_175__fomodel2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & ~ v1_xboole_0(C) & v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,B,C) & v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,B,C) ) => ( ( r2_relset_1(k35_fomodel1(B),C,k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,D),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k5_numbers))),k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k5_numbers)))) & ! [F] : ( v7_ordinal1(F) => ( r2_relset_1(k35_fomodel1(B),C,k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,D),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),F))),k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),F)))) => r2_relset_1(k35_fomodel1(B),C,k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,D),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k1_nat_1(F,1)))),k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),k1_nat_1(F,1))))) ) ) ) => ! [F] : ( v7_ordinal1(F) => r2_relset_1(k35_fomodel1(B),C,k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,D),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),F))),k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),F)))) ) ) ) )).
fof(s2_nat_1__e5_17__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,E)) = k4_struct_0(A) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,G)) = k4_struct_0(A) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,H)) = k4_struct_0(A) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,C) ) => k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,I)) = k4_struct_0(A) ) ) ) ) ) )).
fof(s2_nat_1__e5_17__gfacirc2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( ( k1_xfamily(k3_gfacirc2(k5_numbers,A,B)) = k1_xboole_0 & k2_xfamily(k3_gfacirc2(k5_numbers,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k3_gfacirc2(k5_numbers,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_gfacirc2(k5_numbers,A,B))) = 3 & k2_xfamily(k3_gfacirc2(k5_numbers,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_gfacirc2(k5_numbers,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( k1_xfamily(k3_gfacirc2(C,A,B)) = k1_xboole_0 & k2_xfamily(k3_gfacirc2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k3_gfacirc2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_gfacirc2(C,A,B))) = 3 & k2_xfamily(k3_gfacirc2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_gfacirc2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) => ( ( k1_xfamily(k3_gfacirc2(k1_nat_1(C,1),A,B)) = k1_xboole_0 & k2_xfamily(k3_gfacirc2(k1_nat_1(C,1),A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k3_gfacirc2(k1_nat_1(C,1),A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_gfacirc2(k1_nat_1(C,1),A,B))) = 3 & k2_xfamily(k3_gfacirc2(k1_nat_1(C,1),A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_gfacirc2(k1_nat_1(C,1),A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k3_gfacirc2(C,A,B)) = k1_xboole_0 & k2_xfamily(k3_gfacirc2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k3_gfacirc2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_gfacirc2(C,A,B))) = 3 & k2_xfamily(k3_gfacirc2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_gfacirc2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(s2_nat_1__e5_17__int_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_int_1(B) & v1_int_1(C) ) => ( ( k5_int_1(k1_newton(A,k5_numbers),C) = k5_int_1(k1_newton(B,k5_numbers),C) & ! [D] : ( v7_ordinal1(D) => ( k5_int_1(k1_newton(A,D),C) = k5_int_1(k1_newton(B,D),C) => k5_int_1(k1_newton(A,k1_nat_1(D,1)),C) = k5_int_1(k1_newton(B,k1_nat_1(D,1)),C) ) ) ) => ! [D] : ( v7_ordinal1(D) => k5_int_1(k1_newton(A,D),C) = k5_int_1(k1_newton(B,D),C) ) ) ) )).
fof(s2_nat_1__e5_17__scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k2_scmfsa6a(B,C)),A,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k2_scmfsa6a(B,C)),A,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k2_scmfsa6a(B,C)),A,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k2_scmfsa6a(B,C)),A,E)) ) ) ) ) )).
fof(s2_nat_1__e5_17__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k3_xcmplx_0(B,k1_nat_1(B,1)) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k3_xcmplx_0(B,k1_nat_1(B,1)) ) ) ) )).
fof(s2_nat_1__e5_18__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,D) ) => k1_bcialg_2(A,B,C,E) = B ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,D) ) => k1_bcialg_2(A,B,C,G) = B ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,D) ) => k1_bcialg_2(A,B,C,H) = B ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,D) ) => k1_bcialg_2(A,B,C,I) = B ) ) ) ) ) )).
fof(s2_nat_1__e5_18__ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) ) => k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,C,B,D),k5_numbers) = k8_funcop_1(k4_ordinal1,C,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,C,B,D),E) = k8_funcop_1(k4_ordinal1,C,k5_numbers) ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) ) => k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,C,B,D),k1_nat_1(E,1)) = k8_funcop_1(k4_ordinal1,C,k5_numbers) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,C,B,D),E) = k8_funcop_1(k4_ordinal1,C,k5_numbers) ) ) ) ) )).
fof(s2_nat_1__e5_18__mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( ( r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,D),k5_numbers),C) & ! [E] : ( v7_ordinal1(E) => ( r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,D),E),C) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,D),k1_nat_1(E,1)),C) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,D),E),C) ) ) ) )).
fof(s2_nat_1__e5_18__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k11_newton(k1_nat_1(k5_numbers,1),2) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k11_newton(k1_nat_1(B,1),2) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k11_newton(k1_nat_1(k1_nat_1(B,1),1),2) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k11_newton(k1_nat_1(B,1),2) ) ) ) )).
fof(s2_nat_1__e5_18__sfmastr1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(D,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,B)),D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,B)),D,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,B)),D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,B)),D,E)) ) ) ) ) )).
fof(s2_nat_1__e5_196_1_2__group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) & v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ( ( ! [E] : ( ( v8_group_9(E,A,B) & m2_finseq_1(E,k6_group_9(A,B)) ) => ! [F] : ( ( v8_group_9(F,A,B) & m2_finseq_1(F,k6_group_9(A,B)) ) => ~ ( ~ v1_xboole_0(E) & ~ v1_xboole_0(F) & k3_finseq_1(E) = k2_xcmplx_0(k3_finseq_1(C),k5_numbers) & r4_group_9(A,B,E,C) & r4_group_9(A,B,F,D) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_finseq_1(k20_group_9(A,B,E)),k4_finseq_1(k20_group_9(A,B,E))) & v3_funct_2(G,k4_finseq_1(k20_group_9(A,B,E)),k4_finseq_1(k20_group_9(A,B,E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,E)),k4_finseq_1(k20_group_9(A,B,E))))) & r6_group_9(A,k20_group_9(A,B,E),k20_group_9(A,B,F),G) ) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & v3_funct_2(G,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))))) ) => ~ r6_group_9(A,k20_group_9(A,B,C),k20_group_9(A,B,D),G) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( v8_group_9(I,A,B) & m2_finseq_1(I,k6_group_9(A,B)) ) => ! [J] : ( ( v8_group_9(J,A,B) & m2_finseq_1(J,k6_group_9(A,B)) ) => ~ ( ~ v1_xboole_0(I) & ~ v1_xboole_0(J) & k3_finseq_1(I) = k2_xcmplx_0(k3_finseq_1(C),H) & r4_group_9(A,B,I,C) & r4_group_9(A,B,J,D) & ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k4_finseq_1(k20_group_9(A,B,I)),k4_finseq_1(k20_group_9(A,B,I))) & v3_funct_2(K,k4_finseq_1(k20_group_9(A,B,I)),k4_finseq_1(k20_group_9(A,B,I))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,I)),k4_finseq_1(k20_group_9(A,B,I))))) & r6_group_9(A,k20_group_9(A,B,I),k20_group_9(A,B,J),K) ) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & v3_funct_2(K,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))))) ) => ~ r6_group_9(A,k20_group_9(A,B,C),k20_group_9(A,B,D),K) ) ) ) ) => ! [L] : ( ( v8_group_9(L,A,B) & m2_finseq_1(L,k6_group_9(A,B)) ) => ! [M] : ( ( v8_group_9(M,A,B) & m2_finseq_1(M,k6_group_9(A,B)) ) => ~ ( ~ v1_xboole_0(L) & ~ v1_xboole_0(M) & k3_finseq_1(L) = k2_xcmplx_0(k3_finseq_1(C),k1_nat_1(H,1)) & r4_group_9(A,B,L,C) & r4_group_9(A,B,M,D) & ? [N] : ( v1_funct_1(N) & v1_funct_2(N,k4_finseq_1(k20_group_9(A,B,L)),k4_finseq_1(k20_group_9(A,B,L))) & v3_funct_2(N,k4_finseq_1(k20_group_9(A,B,L)),k4_finseq_1(k20_group_9(A,B,L))) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,L)),k4_finseq_1(k20_group_9(A,B,L))))) & r6_group_9(A,k20_group_9(A,B,L),k20_group_9(A,B,M),N) ) & ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & v3_funct_2(N,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))))) ) => ~ r6_group_9(A,k20_group_9(A,B,C),k20_group_9(A,B,D),N) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( ( v8_group_9(O,A,B) & m2_finseq_1(O,k6_group_9(A,B)) ) => ! [P] : ( ( v8_group_9(P,A,B) & m2_finseq_1(P,k6_group_9(A,B)) ) => ~ ( ~ v1_xboole_0(O) & ~ v1_xboole_0(P) & k3_finseq_1(O) = k2_xcmplx_0(k3_finseq_1(C),H) & r4_group_9(A,B,O,C) & r4_group_9(A,B,P,D) & ? [Q] : ( v1_funct_1(Q) & v1_funct_2(Q,k4_finseq_1(k20_group_9(A,B,O)),k4_finseq_1(k20_group_9(A,B,O))) & v3_funct_2(Q,k4_finseq_1(k20_group_9(A,B,O)),k4_finseq_1(k20_group_9(A,B,O))) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,O)),k4_finseq_1(k20_group_9(A,B,O))))) & r6_group_9(A,k20_group_9(A,B,O),k20_group_9(A,B,P),Q) ) & ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & v3_funct_2(Q,k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,C)),k4_finseq_1(k20_group_9(A,B,C))))) ) => ~ r6_group_9(A,k20_group_9(A,B,C),k20_group_9(A,B,D),Q) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_19_1__finance2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( ( r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),k5_numbers),k12_prob_1) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),B),k12_prob_1) => r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),k1_nat_1(B,1)),k12_prob_1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),B),k12_prob_1) ) ) ) )).
fof(s2_nat_1__e5_19__mesfunc9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r1_xxreal_0(k5_numbers,k12_supinf_2(k1_mesfunc9(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k12_supinf_2(k1_mesfunc9(A),B)) => r1_xxreal_0(k5_numbers,k12_supinf_2(k1_mesfunc9(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k12_supinf_2(k1_mesfunc9(A),B)) ) ) ) )).
fof(s2_nat_1__e5_19__scmisort,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scm_halt(A) & v1_scmfsa7b(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v1_funct_2(C,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_numbers))) ) => ( ( ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(C,D),k5_numbers) => r1_scm_halt(k4_scmfsa_x(B,A),D,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(G,u1_struct_0(k1_scmfsa_2)) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(C,G),F) => r1_scm_halt(k4_scmfsa_x(B,A),G,H) ) ) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(I,u1_struct_0(k1_scmfsa_2)) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,k4_ordinal1) & v5_relat_1(J,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(J) & v1_partfun1(J,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(C,I),k1_nat_1(F,1)) => r1_scm_halt(k4_scmfsa_x(B,A),I,J) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(K,u1_struct_0(k1_scmfsa_2)) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( r1_xxreal_0(k1_funct_1(C,K),F) => r1_scm_halt(k4_scmfsa_x(B,A),K,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_19__scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,k5_numbers) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,E) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,k1_nat_1(E,1)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,E) ) ) ) ) )).
fof(s2_nat_1__e5_19__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,2)),3) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),3) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)),3) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),3) ) ) ) )).
fof(s2_nat_1__e5_19__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k11_newton(10,k1_nat_1(k5_numbers,1)),9),k7_xcmplx_0(1,9)),k11_newton(k1_nat_1(k5_numbers,1),2)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k11_newton(10,k1_nat_1(B,1)),9),k7_xcmplx_0(1,9)),k11_newton(k1_nat_1(B,1),2)) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k11_newton(10,k1_nat_1(k1_nat_1(B,1),1)),9),k7_xcmplx_0(1,9)),k11_newton(k1_nat_1(k1_nat_1(B,1),1),2)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k11_newton(10,k1_nat_1(B,1)),9),k7_xcmplx_0(1,9)),k11_newton(k1_nat_1(B,1),2)) ) ) ) )).
fof(s2_nat_1__e5_19__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),D),u1_struct_0(k33_zmodul02(A,C))) & k3_finseq_1(D) = k5_numbers & ! [E] : ( m2_zmodul02(E,A,C) => k4_rlvect_1(A,k20_zmodul02(A,D,B)) != k21_zmodul02(A,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),G),u1_struct_0(k33_zmodul02(A,C))) & k3_finseq_1(G) = F & ! [H] : ( m2_zmodul02(H,A,C) => k4_rlvect_1(A,k20_zmodul02(A,G,B)) != k21_zmodul02(A,H) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),I),u1_struct_0(k33_zmodul02(A,C))) & k3_finseq_1(I) = k1_nat_1(F,1) & ! [J] : ( m2_zmodul02(J,A,C) => k4_rlvect_1(A,k20_zmodul02(A,I,B)) != k21_zmodul02(A,J) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),K),u1_struct_0(k33_zmodul02(A,C))) & k3_finseq_1(K) = F & ! [L] : ( m2_zmodul02(L,A,C) => k4_rlvect_1(A,k20_zmodul02(A,K,B)) != k21_zmodul02(A,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_1__clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k6_algstr_0(A,B,k3_clopban3(A,B,k5_numbers)) = k3_clopban3(A,B,k1_nat_1(k5_numbers,1)) & ! [C] : ( v7_ordinal1(C) => ( k6_algstr_0(A,B,k3_clopban3(A,B,C)) = k3_clopban3(A,B,k1_nat_1(C,1)) => k6_algstr_0(A,B,k3_clopban3(A,B,k1_nat_1(C,1))) = k3_clopban3(A,B,k1_nat_1(k1_nat_1(C,1),1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_algstr_0(A,B,k3_clopban3(A,B,C)) = k3_clopban3(A,B,k1_nat_1(C,1)) ) ) ) )).
fof(s2_nat_1__e5_1__measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k12_supinf_2(k16_supinf_2(A),k5_numbers) = k1_supinf_2 & ! [B] : ( v7_ordinal1(B) => ( k12_supinf_2(k16_supinf_2(A),B) = k1_supinf_2 => k12_supinf_2(k16_supinf_2(A),k1_nat_1(B,1)) = k1_supinf_2 ) ) ) => ! [B] : ( v7_ordinal1(B) => k12_supinf_2(k16_supinf_2(A),B) = k1_supinf_2 ) ) ) )).
fof(s2_nat_1__e5_1__nagata_2,axiom,( ( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => A != k3_xcmplx_0(k1_newton(2,B),k1_nat_1(k3_xcmplx_0(2,C),1)) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => E != k3_xcmplx_0(k1_newton(2,F),k1_nat_1(k3_xcmplx_0(2,G),1)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k1_nat_1(D,1)) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => H != k3_xcmplx_0(k1_newton(2,I),k1_nat_1(k3_xcmplx_0(2,J),1)) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( v7_ordinal1(K) => ~ ( r1_xxreal_0(1,K) & r1_xxreal_0(K,D) & ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => K != k3_xcmplx_0(k1_newton(2,L),k1_nat_1(k3_xcmplx_0(2,M),1)) ) ) ) ) ) )).
fof(s2_nat_1__e5_20__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( F = k5_numbers & r1_xxreal_0(F,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,B,D,F),k1_bcialg_2(A,C,D,F)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ( ( H = G & r1_xxreal_0(H,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,B,D,H),k1_bcialg_2(A,C,D,H)) ) ) => ! [I] : ( v7_ordinal1(I) => ( ( I = k1_nat_1(G,1) & r1_xxreal_0(I,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,B,D,I),k1_bcialg_2(A,C,D,I)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( v7_ordinal1(J) => ( ( J = G & r1_xxreal_0(J,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,B,D,J),k1_bcialg_2(A,C,D,J)) ) ) ) ) ) )).
fof(s2_nat_1__e5_20__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) ) => ( ( k1_binop_1(k4_dblseq_2(A),k1_nat_1(B,1),k5_numbers) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),k1_nat_1(B,1),k5_numbers),k1_binop_1(k4_dblseq_2(A),B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k4_dblseq_2(A),k1_nat_1(B,1),C) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),k1_nat_1(B,1),C),k1_binop_1(k4_dblseq_2(A),B,C)) => k1_binop_1(k4_dblseq_2(A),k1_nat_1(B,1),k1_nat_1(C,1)) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),k1_nat_1(B,1),k1_nat_1(C,1)),k1_binop_1(k4_dblseq_2(A),B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k4_dblseq_2(A),k1_nat_1(B,1),C) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),k1_nat_1(B,1),C),k1_binop_1(k4_dblseq_2(A),B,C)) ) ) ) )).
fof(s2_nat_1__e5_20__mesfunc9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ~ r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),B),k5_numbers) => ~ r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),k1_nat_1(B,1)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),B),k5_numbers) ) ) ) )).
fof(s2_nat_1__e5_20__scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(A,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) & v1_funct_1(F) & v1_funct_2(F,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmpds_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(G,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(G,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmpds_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(F,G),k5_numbers) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,E) => k1_funct_1(G,I) = k1_funct_1(A,I) ) ) & k1_funct_1(G,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),G,H) & r2_scmpds_6(k1_scmpds_8(C,D,B),G,H) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmpds_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(F,K),J) & ! [M] : ( ( v1_ami_2(M) & m1_subset_1(M,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(M,E) => k1_funct_1(K,M) = k1_funct_1(A,M) ) ) & k1_funct_1(K,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),K,L) & r2_scmpds_6(k1_scmpds_8(C,D,B),K,L) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(N,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,k4_ordinal1) & v5_relat_1(O,u1_compos_1(k1_scmpds_2)) & v1_funct_1(O) & v1_partfun1(O,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(F,N),k1_nat_1(J,1)) & ! [P] : ( ( v1_ami_2(P) & m1_subset_1(P,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(P,E) => k1_funct_1(N,P) = k1_funct_1(A,P) ) ) & k1_funct_1(N,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),N,O) & r2_scmpds_6(k1_scmpds_8(C,D,B),N,O) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_scmpds_2)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(Q,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(Q,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,k4_ordinal1) & v5_relat_1(R,u1_compos_1(k1_scmpds_2)) & v1_funct_1(R) & v1_partfun1(R,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(F,Q),J) & ! [S] : ( ( v1_ami_2(S) & m1_subset_1(S,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(S,E) => k1_funct_1(Q,S) = k1_funct_1(A,S) ) ) & k1_funct_1(Q,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_8(C,D,B),Q,R) & r2_scmpds_6(k1_scmpds_8(C,D,B),Q,R) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_20__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),C),k8_nat_1(k1_numbers,k3_series_1(B),C)) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(C,1)),k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),C),k8_nat_1(k1_numbers,k3_series_1(B),C)) ) ) ) )).
fof(s2_nat_1__e5_20__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,2)),k1_nat_1(k5_numbers,3)),4) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)),4) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)),k1_nat_1(k1_nat_1(B,1),3)),4) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)),4) ) ) ) )).
fof(s2_nat_1__e5_20__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k6_xcmplx_0(k1_nat_1(k1_newton(k5_numbers,2),1),k1_newton(k7_xcmplx_0(1,2),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k1_nat_1(k1_newton(B,2),1),k1_newton(k7_xcmplx_0(1,2),B)) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k1_nat_1(k1_newton(k1_nat_1(B,1),2),1),k1_newton(k7_xcmplx_0(1,2),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k1_nat_1(k1_newton(B,2),1),k1_newton(k7_xcmplx_0(1,2),B)) ) ) ) )).
fof(s2_nat_1__e5_21_4_1__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) ) => ( ( k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k5_numbers,k1_nat_1(B,1)) = k1_binop_1(k4_dblseq_2(A),k5_numbers,k1_nat_1(B,1)) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),C,k1_nat_1(B,1)) = k1_binop_1(k4_dblseq_2(A),C,k1_nat_1(B,1)) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(C,1),k1_nat_1(B,1)) = k1_binop_1(k4_dblseq_2(A),k1_nat_1(C,1),k1_nat_1(B,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),C,k1_nat_1(B,1)) = k1_binop_1(k4_dblseq_2(A),C,k1_nat_1(B,1)) ) ) ) )).
fof(s2_nat_1__e5_21__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k5_numbers,k5_numbers) = k1_binop_1(k4_dblseq_2(A),k5_numbers,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,k5_numbers) = k1_binop_1(k4_dblseq_2(A),B,k5_numbers) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(B,1),k5_numbers) = k1_binop_1(k4_dblseq_2(A),k1_nat_1(B,1),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,k5_numbers) = k1_binop_1(k4_dblseq_2(A),B,k5_numbers) ) ) ) )).
fof(s2_nat_1__e5_21__euler_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( r1_int_2(k1_newton(A,k5_numbers),B) & ! [C] : ( v7_ordinal1(C) => ( r1_int_2(k1_newton(A,C),B) => r1_int_2(k1_newton(A,k1_nat_1(C,1)),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_int_2(k1_newton(A,C),B) ) ) ) )).
fof(s2_nat_1__e5_21__prepower,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k1_newton(k1_funct_1(A,C),k5_numbers) ) => ( v2_comseq_2(B) & k1_seq_2(B) = k1_newton(k1_seq_2(A),k5_numbers) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,F) = k1_newton(k1_funct_1(A,F),D) ) => ( v2_comseq_2(E) & k1_seq_2(E) = k1_newton(k1_seq_2(A),D) ) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [H] : ( v7_ordinal1(H) => k1_funct_1(G,H) = k1_newton(k1_funct_1(A,H),k1_nat_1(D,1)) ) => ( v2_comseq_2(G) & k1_seq_2(G) = k1_newton(k1_seq_2(A),k1_nat_1(D,1)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [J] : ( v7_ordinal1(J) => k1_funct_1(I,J) = k1_newton(k1_funct_1(A,J),D) ) => ( v2_comseq_2(I) & k1_seq_2(I) = k1_newton(k1_seq_2(A),D) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_21__scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A,k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A,k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,E)) ) ) ) ) )).
fof(s2_nat_1__e5_21__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,2)),k1_nat_1(k5_numbers,3)),k1_nat_1(k5_numbers,4)),5) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)),k1_nat_1(B,4)),5) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)),k1_nat_1(k1_nat_1(B,1),3)),k1_nat_1(k1_nat_1(B,1),4)),5) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)),k1_nat_1(B,4)),5) ) ) ) )).
fof(s2_nat_1__e5_21__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k6_xcmplx_0(2,k3_xcmplx_0(k2_xcmplx_0(2,k5_numbers),k1_newton(k7_xcmplx_0(1,2),k5_numbers))) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(2,k3_xcmplx_0(k2_xcmplx_0(2,B),k1_newton(k7_xcmplx_0(1,2),B))) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(2,k3_xcmplx_0(k2_xcmplx_0(2,k1_nat_1(B,1)),k1_newton(k7_xcmplx_0(1,2),k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(2,k3_xcmplx_0(k2_xcmplx_0(2,B),k1_newton(k7_xcmplx_0(1,2),B))) ) ) ) )).
fof(s2_nat_1__e5_21__zmodul06,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_int_3)) & v1_int_1(B) ) => ( ( k10_nat_1(u1_struct_0(k1_int_3),k3_binom(k1_int_3),k5_numbers,A) = k3_xcmplx_0(k5_numbers,B) & ! [C] : ( v7_ordinal1(C) => ( k10_nat_1(u1_struct_0(k1_int_3),k3_binom(k1_int_3),C,A) = k3_xcmplx_0(C,B) => k10_nat_1(u1_struct_0(k1_int_3),k3_binom(k1_int_3),k1_nat_1(C,1),A) = k3_xcmplx_0(k1_nat_1(C,1),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k10_nat_1(u1_struct_0(k1_int_3),k3_binom(k1_int_3),C,A) = k3_xcmplx_0(C,B) ) ) ) )).
fof(s2_nat_1__e5_22_11__euler_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => r1_int_2(k2_wsierp_1(k17_finseq_1(k4_ordinal1,k5_numbers,B)),A) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => r1_int_2(k2_wsierp_1(k17_finseq_1(k4_ordinal1,C,B)),A) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => r1_int_2(k2_wsierp_1(k17_finseq_1(k4_ordinal1,k1_nat_1(C,1),B)),A) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(B)) => r1_int_2(k2_wsierp_1(k17_finseq_1(k4_ordinal1,C,B)),A) ) ) ) ) )).
fof(s2_nat_1__e5_22_1_1__group_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r1_struct_0(B,k5_group_1(A,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_struct_0(B,k5_group_1(A,C,D)) => r1_struct_0(B,k5_group_1(A,C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_struct_0(B,k5_group_1(A,C,D)) ) ) ) )).
fof(s2_nat_1__e5_22_1_2__group_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r1_struct_0(B,k5_group_1(A,C,k4_xcmplx_0(k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_struct_0(B,k5_group_1(A,C,k4_xcmplx_0(D))) => r1_struct_0(B,k5_group_1(A,C,k4_xcmplx_0(k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_struct_0(B,k5_group_1(A,C,k4_xcmplx_0(D))) ) ) ) )).
fof(s2_nat_1__e5_22__fib_num,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k9_complex1(k1_newton(A,k5_numbers)),1) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k9_complex1(k1_newton(A,B)),1) => r1_xxreal_0(k9_complex1(k1_newton(A,k1_nat_1(B,1))),1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k1_newton(A,B)),1) ) ) ) )).
fof(s2_nat_1__e5_22__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A))) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A))) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A))) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A))) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),E)) ) ) ) ) )).
fof(s2_nat_1__e5_22__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k6_xcmplx_0(1,k7_xcmplx_0(1,k1_nat_1(k5_numbers,1))) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k1_nat_1(B,1))) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(1,k7_xcmplx_0(1,k1_nat_1(k1_nat_1(B,1),1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k1_nat_1(B,1))) ) ) ) )).
fof(s2_nat_1__e5_22__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,4),k5_numbers),3)),k7_xcmplx_0(k11_newton(4,k1_nat_1(k5_numbers,1)),3)),k3_xcmplx_0(2,k5_numbers)),3) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,4),B),3)),k7_xcmplx_0(k11_newton(4,k1_nat_1(B,1)),3)),k3_xcmplx_0(2,B)),3) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,4),k1_nat_1(B,1)),3)),k7_xcmplx_0(k11_newton(4,k1_nat_1(k1_nat_1(B,1),1)),3)),k3_xcmplx_0(2,k1_nat_1(B,1))),3) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,4),B),3)),k7_xcmplx_0(k11_newton(4,k1_nat_1(B,1)),3)),k3_xcmplx_0(2,B)),3) ) ) ) )).
fof(s2_nat_1__e5_22__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => ( ( k2_comseq_3(k2_xcmplx_0(B,A),k5_numbers) = k8_nat_1(k2_numbers,k10_comseq_3(k8_sin_cos(k5_numbers,B,A)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k2_comseq_3(k2_xcmplx_0(B,A),C) = k8_nat_1(k2_numbers,k10_comseq_3(k8_sin_cos(C,B,A)),C) => k2_comseq_3(k2_xcmplx_0(B,A),k1_nat_1(C,1)) = k8_nat_1(k2_numbers,k10_comseq_3(k8_sin_cos(k1_nat_1(C,1),B,A)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_comseq_3(k2_xcmplx_0(B,A),C) = k8_nat_1(k2_numbers,k10_comseq_3(k8_sin_cos(C,B,A)),C) ) ) ) )).
fof(s2_nat_1__e5_230__fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) & v4_funct_1(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k40_fomodel2(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(B)))) ) => ( ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k2_xcmplx_0(A,k5_numbers))) & ~ v1_finset_1(k7_subset_1(k15_fomodel1(B),k16_fomodel1(B),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(B)),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k5_numbers),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)))))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k5_numbers),B,C) & ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k2_xcmplx_0(A,F))) & ~ v1_finset_1(k7_subset_1(k15_fomodel1(B),k16_fomodel1(B),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(B)),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),F),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)))))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),F),B,C) ) => ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k2_xcmplx_0(A,k1_nat_1(F,1)))) & ~ v1_finset_1(k7_subset_1(k15_fomodel1(B),k16_fomodel1(B),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(B)),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k1_nat_1(F,1)),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)))))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k1_nat_1(F,1)),B,C) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),k2_xcmplx_0(A,F))) & ~ v1_finset_1(k7_subset_1(k15_fomodel1(B),k16_fomodel1(B),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(B)),k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),F),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)))))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(D,k30_fomodel2(B))),k44_fomodel4(D,B,C,E),F),B,C) ) ) ) ) )).
fof(s2_nat_1__e5_23__fscirc_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( ( k1_xfamily(k3_fscirc_2(k5_numbers,A,B)) = k1_xboole_0 & k2_xfamily(k3_fscirc_2(k5_numbers,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k3_fscirc_2(k5_numbers,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_fscirc_2(k5_numbers,A,B))) = 3 & k2_xfamily(k3_fscirc_2(k5_numbers,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_fscirc_2(k5_numbers,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( k1_xfamily(k3_fscirc_2(C,A,B)) = k1_xboole_0 & k2_xfamily(k3_fscirc_2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_fscirc_2(C,A,B))) = 3 & k2_xfamily(k3_fscirc_2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) => ( ( k1_xfamily(k3_fscirc_2(k1_nat_1(C,1),A,B)) = k1_xboole_0 & k2_xfamily(k3_fscirc_2(k1_nat_1(C,1),A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k3_fscirc_2(k1_nat_1(C,1),A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_fscirc_2(k1_nat_1(C,1),A,B))) = 3 & k2_xfamily(k3_fscirc_2(k1_nat_1(C,1),A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_fscirc_2(k1_nat_1(C,1),A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k3_fscirc_2(C,A,B)) = k1_xboole_0 & k2_xfamily(k3_fscirc_2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_fscirc_2(C,A,B))) = 3 & k2_xfamily(k3_fscirc_2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(s2_nat_1__e5_23__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_rlvect_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(D),u1_struct_0(k1_rusub_3(A,C))) & k3_finseq_1(D) = k5_numbers & ! [E] : ( m2_rlvect_2(E,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,D,B)) != k6_rlvect_2(A,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(G),u1_struct_0(k1_rusub_3(A,C))) & k3_finseq_1(G) = F & ! [H] : ( m2_rlvect_2(H,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,G,B)) != k6_rlvect_2(A,H) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(I),u1_struct_0(k1_rusub_3(A,C))) & k3_finseq_1(I) = k1_nat_1(F,1) & ! [J] : ( m2_rlvect_2(J,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,I,B)) != k6_rlvect_2(A,J) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(K),u1_struct_0(k1_rusub_3(A,C))) & k3_finseq_1(K) = F & ! [L] : ( m2_rlvect_2(L,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,K,B)) != k6_rlvect_2(A,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_23__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,2)))) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(B,1)),k1_nat_1(B,2)))) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(B,1)),k1_nat_1(B,2)))) ) ) ) )).
fof(s2_nat_1__e5_23__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,9),k5_numbers),8)),k7_xcmplx_0(k11_newton(9,k1_nat_1(k5_numbers,1)),8)),k3_xcmplx_0(2,k5_numbers)),3) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,9),B),8)),k7_xcmplx_0(k11_newton(9,k1_nat_1(B,1)),8)),k3_xcmplx_0(2,B)),3) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,9),k1_nat_1(B,1)),8)),k7_xcmplx_0(k11_newton(9,k1_nat_1(k1_nat_1(B,1),1)),8)),k3_xcmplx_0(2,k1_nat_1(B,1))),3) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,9),B),8)),k7_xcmplx_0(k11_newton(9,k1_nat_1(B,1)),8)),k3_xcmplx_0(2,B)),3) ) ) ) )).
fof(s2_nat_1__e5_249__fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k30_fomodel2(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k30_fomodel2(C)))) ) => ( ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),k2_xcmplx_0(A,k5_numbers))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),k5_numbers),C,D) & ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),k2_xcmplx_0(A,F))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),F),C,D) ) => ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),k2_xcmplx_0(A,k1_nat_1(F,1)))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),k1_nat_1(F,1)),C,D) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),A),k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),k2_xcmplx_0(A,F))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(B,k30_fomodel2(C))),k48_fomodel4(B,C,D,E),F),C,D) ) ) ) ) )).
fof(s2_nat_1__e5_24__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,2)),k1_nat_1(k5_numbers,3)))) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)))) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)),k1_nat_1(k1_nat_1(B,1),3)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)))) ) ) ) )).
fof(s2_nat_1__e5_24__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k5_numbers,k11_newton(2,k1_nat_1(k5_numbers,1))),k11_newton(2,k1_nat_1(k5_numbers,1))),2) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(B,k11_newton(2,k1_nat_1(B,1))),k11_newton(2,k1_nat_1(B,1))),2) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k11_newton(2,k1_nat_1(k1_nat_1(B,1),1))),k11_newton(2,k1_nat_1(k1_nat_1(B,1),1))),2) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(B,k11_newton(2,k1_nat_1(B,1))),k11_newton(2,k1_nat_1(B,1))),2) ) ) ) )).
fof(s2_nat_1__e5_25__card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ( k5_numbers != k5_numbers => k1_card_1(k4_finseq_2(k5_numbers,A)) = k1_card_1(A) ) & ! [B] : ( v7_ordinal1(B) => ( ( B != k5_numbers => k1_card_1(k4_finseq_2(B,A)) = k1_card_1(A) ) => ( k1_nat_1(B,1) != k5_numbers => k1_card_1(k4_finseq_2(k1_nat_1(B,1),A)) = k1_card_1(A) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( B != k5_numbers => k1_card_1(k4_finseq_2(B,A)) = k1_card_1(A) ) ) ) ) )).
fof(s2_nat_1__e5_25__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),B)) => k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),B)) ) ) ) )).
fof(s2_nat_1__e5_25__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),6) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),6) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),6) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),6) ) ) ) )).
fof(s2_nat_1__e5_25__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k1_nat_1(k3_xcmplx_0(k5_numbers,k11_newton(3,k1_nat_1(k5_numbers,1))),1) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k1_nat_1(k3_xcmplx_0(B,k11_newton(3,k1_nat_1(B,1))),1) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k1_nat_1(k3_xcmplx_0(k1_nat_1(B,1),k11_newton(3,k1_nat_1(k1_nat_1(B,1),1))),1) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k1_nat_1(k3_xcmplx_0(B,k11_newton(3,k1_nat_1(B,1))),1) ) ) ) )).
fof(s2_nat_1__e5_25__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m2_rlaffin3(C,k15_euclid(A),B) ) => ( ( ( k5_numbers != k5_numbers => ! [D] : ( k4_card_1(k7_subset_1(k4_ordinal1,k4_finseq_1(C),D)) = k5_numbers => k3_convex1(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),B,k7_relset_1(k4_ordinal1,u1_struct_0(k15_euclid(A)),C,k7_subset_1(k4_ordinal1,k4_finseq_1(C),D)))) = k1_setfam_1(a_4_1_simplex2(A,B,C,D)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( E != k5_numbers => ! [F] : ( k4_card_1(k7_subset_1(k4_ordinal1,k4_finseq_1(C),F)) = E => k3_convex1(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),B,k7_relset_1(k4_ordinal1,u1_struct_0(k15_euclid(A)),C,k7_subset_1(k4_ordinal1,k4_finseq_1(C),F)))) = k1_setfam_1(a_4_1_simplex2(A,B,C,F)) ) ) => ( k1_nat_1(E,1) != k5_numbers => ! [G] : ( k4_card_1(k7_subset_1(k4_ordinal1,k4_finseq_1(C),G)) = k1_nat_1(E,1) => k3_convex1(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),B,k7_relset_1(k4_ordinal1,u1_struct_0(k15_euclid(A)),C,k7_subset_1(k4_ordinal1,k4_finseq_1(C),G)))) = k1_setfam_1(a_4_1_simplex2(A,B,C,G)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( E != k5_numbers => ! [H] : ( k4_card_1(k7_subset_1(k4_ordinal1,k4_finseq_1(C),H)) = E => k3_convex1(k15_euclid(A),k7_subset_1(u1_struct_0(k15_euclid(A)),B,k7_relset_1(k4_ordinal1,u1_struct_0(k15_euclid(A)),C,k7_subset_1(k4_ordinal1,k4_finseq_1(C),H)))) = k1_setfam_1(a_4_1_simplex2(A,B,C,H)) ) ) ) ) ) )).
fof(s2_nat_1__e5_26__clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,k1_numbers) ) => ( ( k1_funct_1(k3_series_1(k5_normsp_0(A,k1_clopban4(A,k4_struct_0(A)))),k5_numbers) = B & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(k3_series_1(k5_normsp_0(A,k1_clopban4(A,k4_struct_0(A)))),C) = B => k1_funct_1(k3_series_1(k5_normsp_0(A,k1_clopban4(A,k4_struct_0(A)))),k1_nat_1(C,1)) = B ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k3_series_1(k5_normsp_0(A,k1_clopban4(A,k4_struct_0(A)))),C) = B ) ) ) )).
fof(s2_nat_1__e5_26__mesfunc7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k6_numbers) & v1_xreal_0(B) ) => ( ( k4_mesfunc7(A,k5_numbers) = k1_newton(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k4_mesfunc7(A,C) = k1_newton(B,C) => k4_mesfunc7(A,k1_nat_1(C,1)) = k1_newton(B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k4_mesfunc7(A,C) = k1_newton(B,C) ) ) ) )).
fof(s2_nat_1__e5_26__pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ v1_abian(k1_newton(A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ~ v1_abian(k1_newton(A,B)) => ~ v1_abian(k1_newton(A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ v1_abian(k1_newton(A,B)) ) ) ) )).
fof(s2_nat_1__e5_26__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(k5_numbers,1)),k5_numbers),k1_nat_1(k5_numbers,1)),2) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),B),k1_nat_1(B,1)),2) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(B,1)),k1_nat_1(k1_nat_1(B,1),1)),2) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),B),k1_nat_1(B,1)),2) ) ) ) )).
fof(s2_nat_1__e5_27_1__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k5_numbers) = k8_nat_1(k6_numbers,k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k8_nat_1(k6_numbers,k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),F) => k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k1_nat_1(F,1)) = k8_nat_1(k6_numbers,k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),k1_nat_1(F,1)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k8_nat_1(k6_numbers,k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),F) ) ) ) )).
fof(s2_nat_1__e5_27__ltlaxio2,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_hilbert1) & v1_funct_1(B) & v1_funct_2(B,k1_hilbert1,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k5_numbers,A)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k5_numbers,A))))) = 1 ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(A)) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,A)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,A))))) = 1 ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k1_nat_1(C,1),A)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k1_nat_1(C,1),A))))) = 1 ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(A)) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,A)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,C,A))))) = 1 ) ) ) ) )).
fof(s2_nat_1__e5_27__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k5_numbers)),k6_ndiff_6(A,B,k6_vfunct_1(u1_struct_0(A),B,E,F),C,k5_numbers),k6_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,k5_numbers),k6_ndiff_6(A,B,E,C,k5_numbers),k6_ndiff_6(A,B,F,C,k5_numbers))) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k6_vfunct_1(u1_struct_0(A),B,E,F),C,G),k6_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,E,C,G),k6_ndiff_6(A,B,F,C,G))) ) => ( r1_xxreal_0(k1_nat_1(G,1),D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k1_nat_1(G,1))),k6_ndiff_6(A,B,k6_vfunct_1(u1_struct_0(A),B,E,F),C,k1_nat_1(G,1)),k6_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,k1_nat_1(G,1)),k6_ndiff_6(A,B,E,C,k1_nat_1(G,1)),k6_ndiff_6(A,B,F,C,k1_nat_1(G,1)))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k6_vfunct_1(u1_struct_0(A),B,E,F),C,G),k6_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,E,C,G),k6_ndiff_6(A,B,F,C,G))) ) ) ) ) )).
fof(s2_nat_1__e5_27__pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ( v1_abian(A) => ( r1_xxreal_0(k5_numbers,k5_numbers) | v1_abian(k1_newton(A,k5_numbers)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ( v1_abian(A) => ( r1_xxreal_0(B,k5_numbers) | v1_abian(k1_newton(A,B)) ) ) => ( v1_abian(A) => ( r1_xxreal_0(k1_nat_1(B,1),k5_numbers) | v1_abian(k1_newton(A,k1_nat_1(B,1))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( v1_abian(A) => ( r1_xxreal_0(B,k5_numbers) | v1_abian(k1_newton(A,B)) ) ) ) ) ) )).
fof(s2_nat_1__e5_27__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k2_prepower(2,k1_nat_1(k5_numbers,1)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_prepower(2,k1_nat_1(B,1)) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_prepower(2,k1_nat_1(k1_nat_1(B,1),1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_prepower(2,k1_nat_1(B,1)) ) ) ) )).
fof(s2_nat_1__e5_28_1__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) ) => ( ( k4_card_1(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k5_numbers))) = k1_nat_1(k5_numbers,1) & ! [D] : ( v7_ordinal1(D) => ( k4_card_1(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D))) = k1_nat_1(D,1) => k4_card_1(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k1_nat_1(D,1)))) = k1_nat_1(k1_nat_1(D,1),1) ) ) ) => ! [D] : ( v7_ordinal1(D) => k4_card_1(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D))) = k1_nat_1(D,1) ) ) ) )).
fof(s2_nat_1__e5_28__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(D) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,k5_numbers) => r1_tarski(k7_flang_1(A,B,k5_numbers),k1_flang_3(A,C,D)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(E,k5_numbers) => r1_tarski(k7_flang_1(A,B,E),k1_flang_3(A,C,D)) ) => ( ~ r1_xxreal_0(k1_nat_1(E,1),k5_numbers) => r1_tarski(k7_flang_1(A,B,k1_nat_1(E,1)),k1_flang_3(A,C,D)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(E,k5_numbers) => r1_tarski(k7_flang_1(A,B,E),k1_flang_3(A,C,D)) ) ) ) ) )).
fof(s2_nat_1__e5_28__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l3_fsm_1(C,A,B) & v2_fsm_1(D,A,B) & l2_fsm_1(D,A,B) & m2_finseq_1(E,A) ) => ( ( ( r2_tarski(k5_numbers,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),k5_numbers) = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),F) = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),F) ) => ( r2_tarski(k1_nat_1(F,1),k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),k1_nat_1(F,1)) = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),E),F) = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),E),F) ) ) ) ) )).
fof(s2_nat_1__e5_28__polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_algseq_1(A,k3_polynom5(A,B,k5_numbers)) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_algseq_1(A,B)),k5_numbers),1) & ! [C] : ( v7_ordinal1(C) => ( k1_algseq_1(A,k3_polynom5(A,B,C)) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C,k1_algseq_1(A,B)),C),1) => k1_algseq_1(A,k3_polynom5(A,B,k1_nat_1(C,1))) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_nat_1(C,1),k1_algseq_1(A,B)),k1_nat_1(C,1)),1) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_algseq_1(A,k3_polynom5(A,B,C)) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C,k1_algseq_1(A,B)),C),1) ) ) ) )).
fof(s2_nat_1__e5_28__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(k5_numbers,2),k11_newton(k1_nat_1(k5_numbers,1),2)),4) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),4) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(k1_nat_1(B,1),2),k11_newton(k1_nat_1(k1_nat_1(B,1),1),2)),4) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),4) ) ) ) )).
fof(s2_nat_1__e5_28__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k2_xcmplx_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(k5_numbers,1)),k1_newton(k7_xcmplx_0(1,2),k5_numbers)),1) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k1_newton(k7_xcmplx_0(1,2),B)),1) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(k1_nat_1(B,1),1)),k1_newton(k7_xcmplx_0(1,2),k1_nat_1(B,1))),1) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k1_newton(k7_xcmplx_0(1,2),B)),1) ) ) ) )).
fof(s2_nat_1__e5_29_1__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v7_ordinal1(C) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers),D) = k1_supinf_1 ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r1_xxreal_0(E,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D) = k1_supinf_1 ) => ~ ( r1_xxreal_0(k1_nat_1(E,1),C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(E,1)),D) = k1_supinf_1 ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D) = k1_supinf_1 ) ) ) ) )).
fof(s2_nat_1__e5_29_2__ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(B,C) != k3_hurwitz(A,D,1) ) ) ) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k3_group_4(k13_polynom3(A),B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k2_polynom4(A,C,D) = k4_struct_0(A) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(B)) & k1_funct_1(B,E) = k3_hurwitz(A,D,1) ) ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(G) = F & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k1_funct_1(G,H) != k3_hurwitz(A,I,1) ) ) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( H = k3_group_4(k13_polynom3(A),G) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( k2_polynom4(A,H,I) = k4_struct_0(A) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(G)) & k1_funct_1(G,J) = k3_hurwitz(A,I,1) ) ) ) ) ) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(K) = k1_nat_1(F,1) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => k1_funct_1(K,L) != k3_hurwitz(A,M,1) ) ) ) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(L,A) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( L = k3_group_4(k13_polynom3(A),K) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ~ ( k2_polynom4(A,L,M) = k4_struct_0(A) & ! [N] : ( v7_ordinal1(N) => ~ ( r2_tarski(N,k4_finseq_1(K)) & k1_funct_1(K,N) = k3_hurwitz(A,M,1) ) ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(O) = F & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(O)) & ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => k1_funct_1(O,P) != k3_hurwitz(A,Q,1) ) ) ) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(P,A) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( P = k3_group_4(k13_polynom3(A),O) => ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ~ ( k2_polynom4(A,P,Q) = k4_struct_0(A) & ! [R] : ( v7_ordinal1(R) => ~ ( r2_tarski(R,k4_finseq_1(O)) & k1_funct_1(O,R) = k3_hurwitz(A,Q,1) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_29__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v2_lexbfs(A) & v3_lexbfs(A) ) => ( ( k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),B)) => k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,k39_glib_000(A)) = k1_funct_1(A,k2_xcmplx_0(k39_glib_000(A),B)) ) ) ) )).
fof(s2_nat_1__e5_29__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(D) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k5_numbers)),k6_ndiff_6(A,B,k2_vfunct_1(u1_struct_0(A),B,E,F),C,k5_numbers),k2_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,k5_numbers),k6_ndiff_6(A,B,E,C,k5_numbers),k6_ndiff_6(A,B,F,C,k5_numbers))) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k2_vfunct_1(u1_struct_0(A),B,E,F),C,G),k2_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,E,C,G),k6_ndiff_6(A,B,F,C,G))) ) => ( r1_xxreal_0(k1_nat_1(G,1),D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k1_nat_1(G,1))),k6_ndiff_6(A,B,k2_vfunct_1(u1_struct_0(A),B,E,F),C,k1_nat_1(G,1)),k2_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,k1_nat_1(G,1)),k6_ndiff_6(A,B,E,C,k1_nat_1(G,1)),k6_ndiff_6(A,B,F,C,k1_nat_1(G,1)))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k2_vfunct_1(u1_struct_0(A),B,E,F),C,G),k2_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,E,C,G),k6_ndiff_6(A,B,F,C,G))) ) ) ) ) )).
fof(s2_nat_1__e5_29__taylor_2,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k3_xcmplx_0(2,k5_numbers)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k3_xcmplx_0(2,C)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),C) => k8_nat_1(k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k3_xcmplx_0(2,k1_nat_1(C,1))) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k3_xcmplx_0(2,C)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),C) ) ) ) )).
fof(s2_nat_1__e5_29__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_struct_0(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( ( k1_funct_1(k1_vectsp11(A,B,k2_xcmplx_0(F,k3_xcmplx_0(k5_numbers,E))),C) = D & ! [G] : ( v7_ordinal1(G) => ( k1_funct_1(k1_vectsp11(A,B,k2_xcmplx_0(F,k3_xcmplx_0(G,E))),C) = D => k1_funct_1(k1_vectsp11(A,B,k2_xcmplx_0(F,k3_xcmplx_0(k1_nat_1(G,1),E))),C) = D ) ) ) => ! [G] : ( v7_ordinal1(G) => k1_funct_1(k1_vectsp11(A,B,k2_xcmplx_0(F,k3_xcmplx_0(G,E))),C) = D ) ) ) )).
fof(s2_nat_1__e5_2__lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k6_algstr_0(A,B,k6_lopban_3(A,B,k5_numbers)) = k6_lopban_3(A,B,k1_nat_1(k5_numbers,1)) & ! [C] : ( v7_ordinal1(C) => ( k6_algstr_0(A,B,k6_lopban_3(A,B,C)) = k6_lopban_3(A,B,k1_nat_1(C,1)) => k6_algstr_0(A,B,k6_lopban_3(A,B,k1_nat_1(C,1))) = k6_lopban_3(A,B,k1_nat_1(k1_nat_1(C,1),1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_algstr_0(A,B,k6_lopban_3(A,B,C)) = k6_lopban_3(A,B,k1_nat_1(C,1)) ) ) ) )).
fof(s2_nat_1__e5_2__pepin,axiom,( ( ~ r1_xxreal_0(k1_newton(2,k1_newton(2,k5_numbers)),1) & ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k1_newton(2,k1_newton(2,A)),1) => ~ r1_xxreal_0(k1_newton(2,k1_newton(2,k1_nat_1(A,1))),1) ) ) ) => ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k1_newton(2,k1_newton(2,A)),1) ) )).
fof(s2_nat_1__e5_2__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & k3_finseq_1(D) = k5_numbers & ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(F,k9_xtuple_0(D)) & G = k1_funct_1(E,F) ) => k1_funct_1(D,F) = k4_vectsp_2(A,B,C,G) ) ) ) ) => k4_rlvect_1(B,D) = k4_vectsp_2(A,B,C,k4_rlvect_1(B,E)) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(B)) => ( ( k3_finseq_1(I) = k3_finseq_1(J) & k3_finseq_1(I) = H & ! [K] : ( v7_ordinal1(K) => ! [L] : ( m1_subset_1(L,u1_struct_0(B)) => ( ( r2_tarski(K,k9_xtuple_0(I)) & L = k1_funct_1(J,K) ) => k1_funct_1(I,K) = k4_vectsp_2(A,B,C,L) ) ) ) ) => k4_rlvect_1(B,I) = k4_vectsp_2(A,B,C,k4_rlvect_1(B,J)) ) ) ) => ! [M] : ( m2_finseq_1(M,u1_struct_0(B)) => ! [N] : ( m2_finseq_1(N,u1_struct_0(B)) => ( ( k3_finseq_1(M) = k3_finseq_1(N) & k3_finseq_1(M) = k1_nat_1(H,1) & ! [O] : ( v7_ordinal1(O) => ! [P] : ( m1_subset_1(P,u1_struct_0(B)) => ( ( r2_tarski(O,k9_xtuple_0(M)) & P = k1_funct_1(N,O) ) => k1_funct_1(M,O) = k4_vectsp_2(A,B,C,P) ) ) ) ) => k4_rlvect_1(B,M) = k4_vectsp_2(A,B,C,k4_rlvect_1(B,N)) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(B)) => ! [R] : ( m2_finseq_1(R,u1_struct_0(B)) => ( ( k3_finseq_1(Q) = k3_finseq_1(R) & k3_finseq_1(Q) = H & ! [S] : ( v7_ordinal1(S) => ! [T] : ( m1_subset_1(T,u1_struct_0(B)) => ( ( r2_tarski(S,k9_xtuple_0(Q)) & T = k1_funct_1(R,S) ) => k1_funct_1(Q,S) = k4_vectsp_2(A,B,C,T) ) ) ) ) => k4_rlvect_1(B,Q) = k4_vectsp_2(A,B,C,k4_rlvect_1(B,R)) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_2__tbsp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k2_power(A,k5_numbers),1) & ~ r1_xxreal_0(k2_power(A,k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k2_power(A,B),1) & ~ r1_xxreal_0(k2_power(A,B),k5_numbers) ) => ( r1_xxreal_0(k2_power(A,k1_nat_1(B,1)),1) & ~ r1_xxreal_0(k2_power(A,k1_nat_1(B,1)),k5_numbers) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k2_power(A,B),1) & ~ r1_xxreal_0(k2_power(A,B),k5_numbers) ) ) ) ) )).
fof(s2_nat_1__e5_2__urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A))))) & r1_tarski(B,k1_funct_1(D,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(D,1)) & ! [E] : ( m2_subset_1(E,k1_numbers,k1_urysohn1(k5_numbers)) => ! [F] : ( m2_subset_1(F,k1_numbers,k1_urysohn1(k5_numbers)) => ( ~ r1_xxreal_0(F,E) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,E),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,F),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,E)),k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,F)) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k1_urysohn1(G),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A))))) & r1_tarski(B,k1_funct_1(H,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(H,1)) & ! [I] : ( m2_subset_1(I,k1_numbers,k1_urysohn1(G)) => ! [J] : ( m2_subset_1(J,k1_numbers,k1_urysohn1(G)) => ( ~ r1_xxreal_0(J,I) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),H,I),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),H,J),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),H,I)),k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),H,J)) ) ) ) ) ) => ? [K] : ( v1_funct_1(K) & v1_funct_2(K,k1_urysohn1(k1_nat_1(G,1)),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(k1_nat_1(G,1)),k9_setfam_1(u1_struct_0(A))))) & r1_tarski(B,k1_funct_1(K,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(K,1)) & ! [L] : ( m2_subset_1(L,k1_numbers,k1_urysohn1(k1_nat_1(G,1))) => ! [M] : ( m2_subset_1(M,k1_numbers,k1_urysohn1(k1_nat_1(G,1))) => ( ~ r1_xxreal_0(M,L) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(k1_nat_1(G,1)),k9_setfam_1(u1_struct_0(A)),K,L),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(k1_nat_1(G,1)),k9_setfam_1(u1_struct_0(A)),K,M),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(k1_nat_1(G,1)),k9_setfam_1(u1_struct_0(A)),K,L)),k3_funct_2(k1_urysohn1(k1_nat_1(G,1)),k9_setfam_1(u1_struct_0(A)),K,M)) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ? [N] : ( v1_funct_1(N) & v1_funct_2(N,k1_urysohn1(G),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A))))) & r1_tarski(B,k1_funct_1(N,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(N,1)) & ! [O] : ( m2_subset_1(O,k1_numbers,k1_urysohn1(G)) => ! [P] : ( m2_subset_1(P,k1_numbers,k1_urysohn1(G)) => ( ~ r1_xxreal_0(P,O) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),N,O),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),N,P),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),N,O)),k3_funct_2(k1_urysohn1(G),k9_setfam_1(u1_struct_0(A)),N,P)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_30__nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & k5_numbers = k2_xcmplx_0(k3_xcmplx_0(A,B),C) & ~ r1_xxreal_0(A,C) ) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & D = k2_xcmplx_0(k3_xcmplx_0(A,E),F) & ~ r1_xxreal_0(A,F) ) ) => ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & k1_nat_1(D,1) = k2_xcmplx_0(k3_xcmplx_0(A,G),H) & ~ r1_xxreal_0(A,H) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [I] : ( v7_ordinal1(I) & ? [J] : ( v7_ordinal1(J) & D = k2_xcmplx_0(k3_xcmplx_0(A,I),J) & ~ r1_xxreal_0(A,J) ) ) ) ) ) )).
fof(s2_nat_1__e5_30__pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,k5_numbers) & r1_xxreal_0(k1_newton(A,k5_numbers),1) ) & ! [B] : ( v7_ordinal1(B) => ( ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k1_newton(A,B),1) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(B,1),k5_numbers) & r1_xxreal_0(k1_newton(A,k1_nat_1(B,1)),1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k1_newton(A,B),1) ) ) ) ) )).
fof(s2_nat_1__e5_30__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(k5_numbers,2)),k3_xcmplx_0(3,k5_numbers)),1)),30) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,2)),k3_xcmplx_0(3,B)),1)),30) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(k1_nat_1(B,1),2)),k3_xcmplx_0(3,k1_nat_1(B,1))),1)),30) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,2)),k3_xcmplx_0(3,B)),1)),30) ) ) ) )).
fof(s2_nat_1__e5_31_1__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v7_ordinal1(C) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers),D) = k2_supinf_1 ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r1_xxreal_0(E,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D) = k2_supinf_1 ) => ~ ( r1_xxreal_0(k1_nat_1(E,1),C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(E,1)),D) = k2_supinf_1 ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D) = k2_supinf_1 ) ) ) ) )).
fof(s2_nat_1__e5_31__fvaluat1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k3_fvaluat1(A,B,k5_numbers) != k4_struct_0(A) & ! [C] : ( v7_ordinal1(C) => ( k3_fvaluat1(A,B,C) != k4_struct_0(A) => k3_fvaluat1(A,B,k1_nat_1(C,1)) != k4_struct_0(A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_fvaluat1(A,B,C) != k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e5_31__irrat_1,axiom,( ( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k1_funct_1(k3_series_1(k3_irrat_1(B)),k5_numbers) ) => ( v2_comseq_2(A) & k1_seq_2(A) = k1_funct_1(k3_series_1(k5_irrat_1),k5_numbers) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k1_funct_1(k3_series_1(k3_irrat_1(E)),C) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k1_funct_1(k3_series_1(k5_irrat_1),C) ) ) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [G] : ( v7_ordinal1(G) => k1_funct_1(F,G) = k1_funct_1(k3_series_1(k3_irrat_1(G)),k1_nat_1(C,1)) ) => ( v2_comseq_2(F) & k1_seq_2(F) = k1_funct_1(k3_series_1(k5_irrat_1),k1_nat_1(C,1)) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [I] : ( v7_ordinal1(I) => k1_funct_1(H,I) = k1_funct_1(k3_series_1(k3_irrat_1(I)),C) ) => ( v2_comseq_2(H) & k1_seq_2(H) = k1_funct_1(k3_series_1(k5_irrat_1),C) ) ) ) ) )).
fof(s2_nat_1__e5_31__ndiff_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(D) & v1_xreal_0(E) & v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k5_numbers)),k6_ndiff_6(A,B,k4_vfunct_1(u1_struct_0(A),B,F,E),C,k5_numbers),k4_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,k5_numbers),k6_ndiff_6(A,B,F,C,k5_numbers),E)) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k4_vfunct_1(u1_struct_0(A),B,F,E),C,G),k4_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,F,C,G),E)) ) => ( r1_xxreal_0(k1_nat_1(G,1),D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,k1_nat_1(G,1))),k6_ndiff_6(A,B,k4_vfunct_1(u1_struct_0(A),B,F,E),C,k1_nat_1(G,1)),k4_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,k1_nat_1(G,1)),k6_ndiff_6(A,B,F,C,k1_nat_1(G,1)),E)) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k4_vfunct_1(u1_struct_0(A),B,F,E),C,G),k4_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,F,C,G),E)) ) ) ) ) )).
fof(s2_nat_1__e5_31__pepin,axiom,( ( k1_square_1(k1_newton(2,k1_newton(2,k5_numbers))) = k11_newton(2,k11_newton(2,k1_nat_1(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( k1_square_1(k1_newton(2,k1_newton(2,A))) = k11_newton(2,k11_newton(2,k1_nat_1(A,1))) => k1_square_1(k1_newton(2,k1_newton(2,k1_nat_1(A,1)))) = k11_newton(2,k11_newton(2,k1_nat_1(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k1_square_1(k1_newton(2,k1_newton(2,A))) = k11_newton(2,k11_newton(2,k1_nat_1(A,1))) ) )).
fof(s2_nat_1__e5_31__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(k5_numbers,1)),k5_numbers),k1_nat_1(k5_numbers,1)),k6_xcmplx_0(k2_xcmplx_0(k1_newton(k5_numbers,2),k5_numbers),1)),2) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),B),k1_nat_1(B,1)),k6_xcmplx_0(k2_xcmplx_0(k1_newton(B,2),B),1)),2) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(B,1)),k1_nat_1(k1_nat_1(B,1),1)),k6_xcmplx_0(k2_xcmplx_0(k1_newton(k1_nat_1(B,1),2),k1_nat_1(B,1)),1)),2) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),B),k1_nat_1(B,1)),k6_xcmplx_0(k2_xcmplx_0(k1_newton(B,2),B),1)),2) ) ) ) )).
fof(s2_nat_1__e5_31__simplex2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v4_matroid0(B) & v2_simplex2(B,A) & m1_simplex0(B,u1_struct_0(k15_euclid(A))) ) => ( ( r1_xxreal_0(k2_simplex2(A,k5_simplex1(k5_numbers,k15_euclid(A),B)),k3_xcmplx_0(k1_newton(k7_xcmplx_0(k6_simplex0(B),k2_xcmplx_0(k6_simplex0(B),1)),k5_numbers),k2_simplex2(A,B))) & v4_matroid0(k5_simplex1(k5_numbers,k15_euclid(A),B)) & r1_xxreal_0(k6_simplex0(k5_simplex1(k5_numbers,k15_euclid(A),B)),k6_simplex0(B)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k2_simplex2(A,k5_simplex1(C,k15_euclid(A),B)),k3_xcmplx_0(k1_newton(k7_xcmplx_0(k6_simplex0(B),k2_xcmplx_0(k6_simplex0(B),1)),C),k2_simplex2(A,B))) & v4_matroid0(k5_simplex1(C,k15_euclid(A),B)) & r1_xxreal_0(k6_simplex0(k5_simplex1(C,k15_euclid(A),B)),k6_simplex0(B)) ) => ( r1_xxreal_0(k2_simplex2(A,k5_simplex1(k1_nat_1(C,1),k15_euclid(A),B)),k3_xcmplx_0(k1_newton(k7_xcmplx_0(k6_simplex0(B),k2_xcmplx_0(k6_simplex0(B),1)),k1_nat_1(C,1)),k2_simplex2(A,B))) & v4_matroid0(k5_simplex1(k1_nat_1(C,1),k15_euclid(A),B)) & r1_xxreal_0(k6_simplex0(k5_simplex1(k1_nat_1(C,1),k15_euclid(A),B)),k6_simplex0(B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_simplex2(A,k5_simplex1(C,k15_euclid(A),B)),k3_xcmplx_0(k1_newton(k7_xcmplx_0(k6_simplex0(B),k2_xcmplx_0(k6_simplex0(B),1)),C),k2_simplex2(A,B))) & v4_matroid0(k5_simplex1(C,k15_euclid(A),B)) & r1_xxreal_0(k6_simplex0(k5_simplex1(C,k15_euclid(A),B)),k6_simplex0(B)) ) ) ) ) )).
fof(s2_nat_1__e5_32__amistd_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_setfam_1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,A) & v3_memstr_0(C,A) & l1_extpro_1(C,A) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,C)) & v1_partfun1(D,u1_struct_0(C)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(C)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(C)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => r8_pboole(u1_struct_0(C),k5_extpro_1(A,C,E,D,k5_numbers),k5_extpro_1(A,C,F,D,k5_numbers)) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,B) => r8_pboole(u1_struct_0(C),k5_extpro_1(A,C,E,D,G),k5_extpro_1(A,C,F,D,G)) ) => ( r1_xxreal_0(k1_nat_1(G,1),B) => r8_pboole(u1_struct_0(C),k5_extpro_1(A,C,E,D,k1_nat_1(G,1)),k5_extpro_1(A,C,F,D,k1_nat_1(G,1))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,B) => r8_pboole(u1_struct_0(C),k5_extpro_1(A,C,E,D,G),k5_extpro_1(A,C,F,D,G)) ) ) ) ) )).
fof(s2_nat_1__e5_32__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers) = k7_xcmplx_0(1,k1_nat_1(k5_numbers,2)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_xcmplx_0(1,k1_nat_1(B,2)) => k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)) = k7_xcmplx_0(1,k1_nat_1(k1_nat_1(B,1),2)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_xcmplx_0(1,k1_nat_1(B,2)) ) ) ) )).
fof(s2_nat_1__e5_33__ltlaxio4,axiom,( ( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => ( k4_card_1(k5_ltlaxio3(A)) = k5_numbers => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ( k2_relset_1(k1_hilbert1,B) = k3_ltlaxio4(k4_ltlaxio4(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))))) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_hilbert1)) ) => ( k4_card_1(k5_ltlaxio3(D)) = C => ! [E] : ( m2_finseq_1(E,k1_hilbert1) => ( k2_relset_1(k1_hilbert1,E) = k3_ltlaxio4(k4_ltlaxio4(D)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(E)),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(E)))))) ) ) ) ) => ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k1_hilbert1)) ) => ( k4_card_1(k5_ltlaxio3(F)) = k1_nat_1(C,1) => ! [G] : ( m2_finseq_1(G,k1_hilbert1) => ( k2_relset_1(k1_hilbert1,G) = k3_ltlaxio4(k4_ltlaxio4(F)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(G)),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(G)))))) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(k1_hilbert1)) ) => ( k4_card_1(k5_ltlaxio3(H)) = C => ! [I] : ( m2_finseq_1(I,k1_hilbert1) => ( k2_relset_1(k1_hilbert1,I) = k3_ltlaxio4(k4_ltlaxio4(H)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(I)),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(I)))))) ) ) ) ) ) )).
fof(s2_nat_1__e5_33__mesfun9c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ( r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k12_mesfun7c(A,B)),k5_numbers),k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,k3_mesfun9c(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k12_mesfun7c(A,B)),C),k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,k3_mesfun9c(A,B)),C)) => r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k12_mesfun7c(A,B)),k1_nat_1(C,1)),k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,k3_mesfun9c(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k12_mesfun7c(A,B)),C),k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,k3_mesfun9c(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e5_33__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k5_numbers,2),k11_newton(k1_nat_1(k5_numbers,1),2)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k5_numbers,2)),k3_xcmplx_0(2,k5_numbers)),1)),12) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(B,2)),k3_xcmplx_0(2,B)),1)),12) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k1_nat_1(B,1),2),k11_newton(k1_nat_1(k1_nat_1(B,1),1),2)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k1_nat_1(B,1),2)),k3_xcmplx_0(2,k1_nat_1(B,1))),1)),12) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(B,2)),k3_xcmplx_0(2,B)),1)),12) ) ) ) )).
fof(s2_nat_1__e5_33__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers) = k7_xcmplx_0(1,k7_newton(k1_nat_1(k5_numbers,1))) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1))) => k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)) = k7_xcmplx_0(1,k7_newton(k1_nat_1(k1_nat_1(B,1),1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1))) ) ) ) )).
fof(s2_nat_1__e5_33__setwop_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( k1_finsop_1(A,k5_finseq_2(A,k5_numbers,k3_binop_1(A,B)),B) = k3_binop_1(A,B) & ! [C] : ( v7_ordinal1(C) => ( k1_finsop_1(A,k5_finseq_2(A,C,k3_binop_1(A,B)),B) = k3_binop_1(A,B) => k1_finsop_1(A,k5_finseq_2(A,k1_nat_1(C,1),k3_binop_1(A,B)),B) = k3_binop_1(A,B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_finsop_1(A,k5_finseq_2(A,C,k3_binop_1(A,B)),B) = k3_binop_1(A,B) ) ) ) )).
fof(s2_nat_1__e5_33__sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(A)),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(A)),B)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),B)) => r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(A)),k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(A)),B)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),B)) ) ) ) )).
fof(s2_nat_1__e5_34_1_1__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( k7_flang_1(A,B,k5_numbers) != k1_xboole_0 & ! [C] : ( v7_ordinal1(C) => ( k7_flang_1(A,B,C) != k1_xboole_0 => k7_flang_1(A,B,k1_nat_1(C,1)) != k1_xboole_0 ) ) ) => ! [C] : ( v7_ordinal1(C) => k7_flang_1(A,B,C) != k1_xboole_0 ) ) ) )).
fof(s2_nat_1__e5_34_1__frechet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & v1_tops_2(C,A) & v1_yellow_8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( ( ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = k1_setfam_1(k7_relset_1(k4_ordinal1,C,D,k1_ordinal1(k5_numbers))) & v3_pre_topc(E,A) ) & ! [F] : ( v7_ordinal1(F) => ( ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = k1_setfam_1(k7_relset_1(k4_ordinal1,C,D,k1_ordinal1(F))) & v3_pre_topc(G,A) ) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & H = k1_setfam_1(k7_relset_1(k4_ordinal1,C,D,k1_ordinal1(k1_nat_1(F,1)))) & v3_pre_topc(H,A) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & I = k1_setfam_1(k7_relset_1(k4_ordinal1,C,D,k1_ordinal1(F))) & v3_pre_topc(I,A) ) ) ) ) )).
fof(s2_nat_1__e5_34__diff_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k5_numbers,1)),C) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v1_xreal_0(E) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(D,1)),E) = k5_numbers ) => ! [F] : ( v1_xreal_0(F) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(k1_nat_1(D,1),1)),F) = k5_numbers ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v1_xreal_0(G) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),k1_nat_1(D,1)),G) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e5_34__topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ( ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v5_waybel23(k1_pre_topc(A,B)) & v1_topdim_1(B,A) & r1_xxreal_0(k2_topdim_1(A,B),k5_numbers) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( v1_tops_2(C,A) & m1_setfam_1(C,B) & r1_xxreal_0(k4_card_1(C),k5_numbers) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v1_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(A)),D),A) & m1_setfam_1(k2_relset_1(k9_setfam_1(u1_struct_0(A)),D),B) & ! [E] : ( r2_tarski(E,C) => r1_tarski(k1_funct_1(D,E),E) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r2_tarski(F,C) ) => ( E = F | r1_xboole_0(k1_funct_1(D,E),k1_funct_1(D,F)) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ( ( v5_waybel23(k1_pre_topc(A,H)) & v1_topdim_1(H,A) & r1_xxreal_0(k2_topdim_1(A,H),k5_numbers) ) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( v1_tops_2(I,A) & m1_setfam_1(I,H) & r1_xxreal_0(k4_card_1(I),G) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,I,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(I,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v1_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(A)),J),A) & m1_setfam_1(k2_relset_1(k9_setfam_1(u1_struct_0(A)),J),H) & ! [K] : ( r2_tarski(K,I) => r1_tarski(k1_funct_1(J,K),K) ) & ! [K] : ! [L] : ( ( r2_tarski(K,I) & r2_tarski(L,I) ) => ( K = L | r1_xboole_0(k1_funct_1(J,K),k1_funct_1(J,L)) ) ) ) ) ) ) ) ) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(A))) => ( ( v5_waybel23(k1_pre_topc(A,M)) & v1_topdim_1(M,A) & r1_xxreal_0(k2_topdim_1(A,M),k5_numbers) ) => ! [N] : ( ( v1_finset_1(N) & m1_subset_1(N,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( v1_tops_2(N,A) & m1_setfam_1(N,M) & r1_xxreal_0(k4_card_1(N),k1_nat_1(G,1)) & ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,N,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(N,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v1_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(A)),O),A) & m1_setfam_1(k2_relset_1(k9_setfam_1(u1_struct_0(A)),O),M) & ! [P] : ( r2_tarski(P,N) => r1_tarski(k1_funct_1(O,P),P) ) & ! [P] : ! [Q] : ( ( r2_tarski(P,N) & r2_tarski(Q,N) ) => ( P = Q | r1_xboole_0(k1_funct_1(O,P),k1_funct_1(O,Q)) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [R] : ( m1_subset_1(R,k1_zfmisc_1(u1_struct_0(A))) => ( ( v5_waybel23(k1_pre_topc(A,R)) & v1_topdim_1(R,A) & r1_xxreal_0(k2_topdim_1(A,R),k5_numbers) ) => ! [S] : ( ( v1_finset_1(S) & m1_subset_1(S,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( v1_tops_2(S,A) & m1_setfam_1(S,R) & r1_xxreal_0(k4_card_1(S),G) & ! [T] : ( ( v1_funct_1(T) & v1_funct_2(T,S,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(S,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v1_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(A)),T),A) & m1_setfam_1(k2_relset_1(k9_setfam_1(u1_struct_0(A)),T),R) & ! [U] : ( r2_tarski(U,S) => r1_tarski(k1_funct_1(T,U),U) ) & ! [U] : ! [V] : ( ( r2_tarski(U,S) & r2_tarski(V,S) ) => ( U = V | r1_xboole_0(k1_funct_1(T,U),k1_funct_1(T,V)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_35__clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,B)),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,B)),C)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),C)) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,B)),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,B)),C)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),C)) ) ) ) )).
fof(s2_nat_1__e5_35__matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( r2_classes1(B,C) & k3_finseq_1(B) = k5_numbers ) => k1_finsop_1(u1_struct_0(A),B,u2_algstr_0(A)) = k1_finsop_1(u1_struct_0(A),C,u2_algstr_0(A)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( r2_classes1(E,F) & k3_finseq_1(E) = D ) => k1_finsop_1(u1_struct_0(A),E,u2_algstr_0(A)) = k1_finsop_1(u1_struct_0(A),F,u2_algstr_0(A)) ) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( r2_classes1(G,H) & k3_finseq_1(G) = k1_nat_1(D,1) ) => k1_finsop_1(u1_struct_0(A),G,u2_algstr_0(A)) = k1_finsop_1(u1_struct_0(A),H,u2_algstr_0(A)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( r2_classes1(I,J) & k3_finseq_1(I) = D ) => k1_finsop_1(u1_struct_0(A),I,u2_algstr_0(A)) = k1_finsop_1(u1_struct_0(A),J,u2_algstr_0(A)) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_35__scpisort,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(B,k1_scmp_gcd(6))),k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k5_numbers = k1_funct_1(B,k1_scmp_gcd(6)) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),k1_funct_1(B,k1_scmp_gcd(6))),1) & r1_scpisort(D,B,A) & r1_scpisort(E,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,C),A) & k3_finseq_1(D) = k3_finseq_1(E) & r3_graph_2(D,1,k5_numbers) ) => ( r1_xxreal_0(k3_finseq_1(D),k5_numbers) | ( r2_classes1(D,E) & r3_graph_2(E,1,k1_nat_1(k5_numbers,1)) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k3_finseq_1(D)) => ( r1_xxreal_0(F,k1_nat_1(k5_numbers,1)) | k1_funct_1(D,F) = k1_funct_1(E,F) ) ) ) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(k5_numbers,1)) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(k5_numbers,1)) & k1_funct_1(E,F) = k1_funct_1(D,G) ) ) ) ) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(I,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,k4_ordinal1) & v5_relat_1(J,u1_compos_1(k1_scmpds_2)) & v1_funct_1(J) & v1_partfun1(J,k4_ordinal1) ) => ! [K] : ( m2_finseq_1(K,k4_numbers) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(I,k1_scmp_gcd(6))),k1_funct_1(I,k1_scmp_gcd(4))) & k1_funct_1(I,k2_scmp_gcd) = k5_numbers & H = k1_funct_1(I,k1_scmp_gcd(6)) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(I,k1_scmp_gcd(4)),k1_funct_1(I,k1_scmp_gcd(6))),1) & r1_scpisort(K,I,A) & r1_scpisort(L,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),I,J),A) & k3_finseq_1(K) = k3_finseq_1(L) & r3_graph_2(K,1,H) ) => ( r1_xxreal_0(k3_finseq_1(K),H) | ( r2_classes1(K,L) & r3_graph_2(L,1,k1_nat_1(H,1)) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(M,k3_finseq_1(K)) => ( r1_xxreal_0(M,k1_nat_1(H,1)) | k1_funct_1(K,M) = k1_funct_1(L,M) ) ) ) & ! [M] : ( v7_ordinal1(M) => ~ ( r1_xxreal_0(1,M) & r1_xxreal_0(M,k1_nat_1(H,1)) & ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(1,N) & r1_xxreal_0(N,k1_nat_1(H,1)) & k1_funct_1(L,M) = k1_funct_1(K,N) ) ) ) ) ) ) ) ) ) ) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(O,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,k4_ordinal1) & v5_relat_1(P,u1_compos_1(k1_scmpds_2)) & v1_funct_1(P) & v1_partfun1(P,k4_ordinal1) ) => ! [Q] : ( m2_finseq_1(Q,k4_numbers) => ! [R] : ( m2_finseq_1(R,k4_numbers) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(O,k1_scmp_gcd(6))),k1_funct_1(O,k1_scmp_gcd(4))) & k1_funct_1(O,k2_scmp_gcd) = k5_numbers & k1_nat_1(H,1) = k1_funct_1(O,k1_scmp_gcd(6)) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(O,k1_scmp_gcd(4)),k1_funct_1(O,k1_scmp_gcd(6))),1) & r1_scpisort(Q,O,A) & r1_scpisort(R,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),O,P),A) & k3_finseq_1(Q) = k3_finseq_1(R) & r3_graph_2(Q,1,k1_nat_1(H,1)) ) => ( r1_xxreal_0(k3_finseq_1(Q),k1_nat_1(H,1)) | ( r2_classes1(Q,R) & r3_graph_2(R,1,k1_nat_1(k1_nat_1(H,1),1)) & ! [S] : ( v7_ordinal1(S) => ( r1_xxreal_0(S,k3_finseq_1(Q)) => ( r1_xxreal_0(S,k1_nat_1(k1_nat_1(H,1),1)) | k1_funct_1(Q,S) = k1_funct_1(R,S) ) ) ) & ! [S] : ( v7_ordinal1(S) => ~ ( r1_xxreal_0(1,S) & r1_xxreal_0(S,k1_nat_1(k1_nat_1(H,1),1)) & ! [T] : ( v7_ordinal1(T) => ~ ( r1_xxreal_0(1,T) & r1_xxreal_0(T,k1_nat_1(k1_nat_1(H,1),1)) & k1_funct_1(R,S) = k1_funct_1(Q,T) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [U] : ( ( v1_relat_1(U) & v4_relat_1(U,u1_struct_0(k1_scmpds_2)) & v1_funct_1(U) & v5_funct_1(U,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(U,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(U,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [V] : ( ( v1_relat_1(V) & v4_relat_1(V,k4_ordinal1) & v5_relat_1(V,u1_compos_1(k1_scmpds_2)) & v1_funct_1(V) & v1_partfun1(V,k4_ordinal1) ) => ! [W] : ( m2_finseq_1(W,k4_numbers) => ! [X] : ( m2_finseq_1(X,k4_numbers) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(U,k1_scmp_gcd(6))),k1_funct_1(U,k1_scmp_gcd(4))) & k1_funct_1(U,k2_scmp_gcd) = k5_numbers & H = k1_funct_1(U,k1_scmp_gcd(6)) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(U,k1_scmp_gcd(4)),k1_funct_1(U,k1_scmp_gcd(6))),1) & r1_scpisort(W,U,A) & r1_scpisort(X,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),U,V),A) & k3_finseq_1(W) = k3_finseq_1(X) & r3_graph_2(W,1,H) ) => ( r1_xxreal_0(k3_finseq_1(W),H) | ( r2_classes1(W,X) & r3_graph_2(X,1,k1_nat_1(H,1)) & ! [Y] : ( v7_ordinal1(Y) => ( r1_xxreal_0(Y,k3_finseq_1(W)) => ( r1_xxreal_0(Y,k1_nat_1(H,1)) | k1_funct_1(W,Y) = k1_funct_1(X,Y) ) ) ) & ! [Y] : ( v7_ordinal1(Y) => ~ ( r1_xxreal_0(1,Y) & r1_xxreal_0(Y,k1_nat_1(H,1)) & ! [Z] : ( v7_ordinal1(Z) => ~ ( r1_xxreal_0(1,Z) & r1_xxreal_0(Z,k1_nat_1(H,1)) & k1_funct_1(X,Y) = k1_funct_1(W,Z) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_35__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(k5_numbers,4)),k3_xcmplx_0(6,k1_newton(k5_numbers,3))),k3_xcmplx_0(3,k5_numbers)),1)),42) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,4)),k3_xcmplx_0(6,k1_newton(B,3))),k3_xcmplx_0(3,B)),1)),42) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(k1_nat_1(B,1),4)),k3_xcmplx_0(6,k1_newton(k1_nat_1(B,1),3))),k3_xcmplx_0(3,k1_nat_1(B,1))),1)),42) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,4)),k3_xcmplx_0(6,k1_newton(B,3))),k3_xcmplx_0(3,B)),1)),42) ) ) ) )).
fof(s2_nat_1__e5_35__uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(k1_uniroots(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k1_binop_1(k4_group_1(k1_uniroots(A)),B,k5_numbers) = k1_binop_1(k4_group_1(A),C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_binop_1(k4_group_1(k1_uniroots(A)),B,D) = k1_binop_1(k4_group_1(A),C,D) => k1_binop_1(k4_group_1(k1_uniroots(A)),B,k1_nat_1(D,1)) = k1_binop_1(k4_group_1(A),C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k4_group_1(k1_uniroots(A)),B,D) = k1_binop_1(k4_group_1(A),C,D) ) ) ) )).
fof(s2_nat_1__e5_36_1__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(k2_dblseq_1(k3_dblseq_2(A))),k5_numbers) = k8_nat_1(k1_numbers,k2_dblseq_1(k4_dblseq_2(A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(k2_dblseq_1(k3_dblseq_2(A))),B) = k8_nat_1(k1_numbers,k2_dblseq_1(k4_dblseq_2(A)),B) => k8_nat_1(k1_numbers,k3_series_1(k2_dblseq_1(k3_dblseq_2(A))),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k2_dblseq_1(k4_dblseq_2(A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(k2_dblseq_1(k3_dblseq_2(A))),B) = k8_nat_1(k1_numbers,k2_dblseq_1(k4_dblseq_2(A)),B) ) ) ) )).
fof(s2_nat_1__e5_37_1__amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( ( r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,k5_numbers)),k1_relset_1(k4_ordinal1,C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E)),k1_relset_1(k4_ordinal1,C)) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,k1_nat_1(E,1))),k1_relset_1(k4_ordinal1,C)) ) ) ) => ! [E] : ( v7_ordinal1(E) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E)),k1_relset_1(k4_ordinal1,C)) ) ) ) )).
fof(s2_nat_1__e5_37_1__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(k3_dblseq_1(k2_dblseq_2(A))),k5_numbers) = k8_nat_1(k1_numbers,k3_dblseq_1(k4_dblseq_2(A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(k3_dblseq_1(k2_dblseq_2(A))),B) = k8_nat_1(k1_numbers,k3_dblseq_1(k4_dblseq_2(A)),B) => k8_nat_1(k1_numbers,k3_series_1(k3_dblseq_1(k2_dblseq_2(A))),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k3_dblseq_1(k4_dblseq_2(A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(k3_dblseq_1(k2_dblseq_2(A))),B) = k8_nat_1(k1_numbers,k3_dblseq_1(k4_dblseq_2(A)),B) ) ) ) )).
fof(s2_nat_1__e5_37__comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(A)),k5_numbers) = k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(A)),B) = k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(A)),B) => k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(A)),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(k8_comseq_3(A)),B) = k8_nat_1(k1_numbers,k8_comseq_3(k10_comseq_3(A)),B) ) ) ) )).
fof(s2_nat_1__e5_37__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( r2_tarski(k2_flang_1(A),k7_flang_1(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k2_flang_1(A),k7_flang_1(A,B,C)) => r2_tarski(k2_flang_1(A),k7_flang_1(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(k2_flang_1(A),k7_flang_1(A,B,C)) ) ) ) )).
fof(s2_nat_1__e5_37__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,u1_struct_0(C)) & m2_finseq_1(F,A) ) => ( ( ~ ( r2_tarski(k5_numbers,k2_finseq_1(k3_finseq_1(F))) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ~ ( G = k1_funct_1(k2_fsm_1(A,C,D,F),k5_numbers) & H = k1_funct_1(k2_fsm_1(A,C,E,F),k5_numbers) & r5_fsm_1(A,B,C,G,H) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ~ ( r2_tarski(I,k2_finseq_1(k3_finseq_1(F))) & ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => ~ ( J = k1_funct_1(k2_fsm_1(A,C,D,F),I) & K = k1_funct_1(k2_fsm_1(A,C,E,F),I) & r5_fsm_1(A,B,C,J,K) ) ) ) ) => ~ ( r2_tarski(k1_nat_1(I,1),k2_finseq_1(k3_finseq_1(F))) & ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => ! [M] : ( m1_subset_1(M,u1_struct_0(C)) => ~ ( L = k1_funct_1(k2_fsm_1(A,C,D,F),k1_nat_1(I,1)) & M = k1_funct_1(k2_fsm_1(A,C,E,F),k1_nat_1(I,1)) & r5_fsm_1(A,B,C,L,M) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k2_finseq_1(k3_finseq_1(F))) & ! [N] : ( m1_subset_1(N,u1_struct_0(C)) => ! [O] : ( m1_subset_1(O,u1_struct_0(C)) => ~ ( N = k1_funct_1(k2_fsm_1(A,C,D,F),I) & O = k1_funct_1(k2_fsm_1(A,C,E,F),I) & r5_fsm_1(A,B,C,N,O) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_38__ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k1_uniroots(k9_int_3(A)))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => ( ( k5_group_1(k1_uniroots(k9_int_3(A)),B,k5_numbers) = k2_binom(k9_int_3(A),C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k5_group_1(k1_uniroots(k9_int_3(A)),B,D) = k2_binom(k9_int_3(A),C,D) => k5_group_1(k1_uniroots(k9_int_3(A)),B,k1_nat_1(D,1)) = k2_binom(k9_int_3(A),C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k5_group_1(k1_uniroots(k9_int_3(A)),B,D) = k2_binom(k9_int_3(A),C,D) ) ) ) )).
fof(s2_nat_1__e5_38__facirc_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( ( k1_xfamily(k5_facirc_2(k5_numbers,A,B)) = k1_xboole_0 & k2_xfamily(k5_facirc_2(k5_numbers,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k5_facirc_2(k5_numbers,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k5_facirc_2(k5_numbers,A,B))) = 3 & k2_xfamily(k5_facirc_2(k5_numbers,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k5_facirc_2(k5_numbers,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( k1_xfamily(k5_facirc_2(C,A,B)) = k1_xboole_0 & k2_xfamily(k5_facirc_2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k5_facirc_2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k5_facirc_2(C,A,B))) = 3 & k2_xfamily(k5_facirc_2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k5_facirc_2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) => ( ( k1_xfamily(k5_facirc_2(k1_nat_1(C,1),A,B)) = k1_xboole_0 & k2_xfamily(k5_facirc_2(k1_nat_1(C,1),A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k5_facirc_2(k1_nat_1(C,1),A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k5_facirc_2(k1_nat_1(C,1),A,B))) = 3 & k2_xfamily(k5_facirc_2(k1_nat_1(C,1),A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k5_facirc_2(k1_nat_1(C,1),A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k5_facirc_2(C,A,B)) = k1_xboole_0 & k2_xfamily(k5_facirc_2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k5_facirc_2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k5_facirc_2(C,A,B))) = 3 & k2_xfamily(k5_facirc_2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k5_facirc_2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(s2_nat_1__e5_38__gfacirc2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( ( k1_xfamily(k7_gfacirc2(k5_numbers,A,B)) = k1_xboole_0 & k2_xfamily(k7_gfacirc2(k5_numbers,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k7_gfacirc2(k5_numbers,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k7_gfacirc2(k5_numbers,A,B))) = 3 & k2_xfamily(k7_gfacirc2(k5_numbers,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k7_gfacirc2(k5_numbers,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( k1_xfamily(k7_gfacirc2(C,A,B)) = k1_xboole_0 & k2_xfamily(k7_gfacirc2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k7_gfacirc2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k7_gfacirc2(C,A,B))) = 3 & k2_xfamily(k7_gfacirc2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k7_gfacirc2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) => ( ( k1_xfamily(k7_gfacirc2(k1_nat_1(C,1),A,B)) = k1_xboole_0 & k2_xfamily(k7_gfacirc2(k1_nat_1(C,1),A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k7_gfacirc2(k1_nat_1(C,1),A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k7_gfacirc2(k1_nat_1(C,1),A,B))) = 3 & k2_xfamily(k7_gfacirc2(k1_nat_1(C,1),A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k7_gfacirc2(k1_nat_1(C,1),A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k7_gfacirc2(C,A,B)) = k1_xboole_0 & k2_xfamily(k7_gfacirc2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k7_gfacirc2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k7_gfacirc2(C,A,B))) = 3 & k2_xfamily(k7_gfacirc2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k7_gfacirc2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(s2_nat_1__e5_38__rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_finseq_1(C,k3_rfunct_3(A,k1_numbers)) => ( ( r2_classes1(B,C) & k3_finseq_1(B) = k5_numbers ) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,B),k14_rfunct_3(A,C)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k3_rfunct_3(A,k1_numbers)) => ! [F] : ( m2_finseq_1(F,k3_rfunct_3(A,k1_numbers)) => ( ( r2_classes1(E,F) & k3_finseq_1(E) = D ) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,E),k14_rfunct_3(A,F)) ) ) ) => ! [G] : ( m2_finseq_1(G,k3_rfunct_3(A,k1_numbers)) => ! [H] : ( m2_finseq_1(H,k3_rfunct_3(A,k1_numbers)) => ( ( r2_classes1(G,H) & k3_finseq_1(G) = k1_nat_1(D,1) ) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,G),k14_rfunct_3(A,H)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,k3_rfunct_3(A,k1_numbers)) => ! [J] : ( m2_finseq_1(J,k3_rfunct_3(A,k1_numbers)) => ( ( r2_classes1(I,J) & k3_finseq_1(I) = D ) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,I),k14_rfunct_3(A,J)) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_39__pepin,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ~ ( r1_nat_d(A,k1_newton(B,k5_numbers)) & A != 1 & ! [C] : ( m1_subset_1(C,k4_ordinal1) => A != k3_xcmplx_0(B,C) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_nat_d(A,k1_newton(B,D)) & A != 1 & ! [E] : ( m1_subset_1(E,k4_ordinal1) => A != k3_xcmplx_0(B,E) ) ) => ~ ( r1_nat_d(A,k1_newton(B,k1_nat_1(D,1))) & A != 1 & ! [F] : ( m1_subset_1(F,k4_ordinal1) => A != k3_xcmplx_0(B,F) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_nat_d(A,k1_newton(B,D)) & A != 1 & ! [G] : ( m1_subset_1(G,k4_ordinal1) => A != k3_xcmplx_0(B,G) ) ) ) ) ) )).
fof(s2_nat_1__e5_39__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k5_numbers,2),k11_newton(k1_nat_1(k5_numbers,1),2)),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(k5_numbers,4)),k3_xcmplx_0(6,k1_newton(k5_numbers,3))),k1_newton(k5_numbers,2)),k3_xcmplx_0(4,k5_numbers)),2)),24) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,4)),k3_xcmplx_0(6,k1_newton(B,3))),k1_newton(B,2)),k3_xcmplx_0(4,B)),2)),24) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k1_nat_1(B,1),2),k11_newton(k1_nat_1(k1_nat_1(B,1),1),2)),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(k1_nat_1(B,1),4)),k3_xcmplx_0(6,k1_newton(k1_nat_1(B,1),3))),k1_newton(k1_nat_1(B,1),2)),k3_xcmplx_0(4,k1_nat_1(B,1))),2)),24) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,4)),k3_xcmplx_0(6,k1_newton(B,3))),k1_newton(B,2)),k3_xcmplx_0(4,B)),2)),24) ) ) ) )).
fof(s2_nat_1__e5_39__series_3,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) & v1_xreal_0(B) & ~ v3_xxreal_0(B) ) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_newton(A,k1_nat_1(k5_numbers,2)),k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(k5_numbers,2),k1_newton(A,k1_nat_1(k5_numbers,1))),B)),k1_newton(k2_xcmplx_0(A,B),k1_nat_1(k5_numbers,2))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(k1_newton(A,k1_nat_1(C,2)),k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(C,2),k1_newton(A,k1_nat_1(C,1))),B)),k1_newton(k2_xcmplx_0(A,B),k1_nat_1(C,2))) => r1_xxreal_0(k2_xcmplx_0(k1_newton(A,k1_nat_1(k1_nat_1(C,1),2)),k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(k1_nat_1(C,1),2),k1_newton(A,k1_nat_1(k1_nat_1(C,1),1))),B)),k1_newton(k2_xcmplx_0(A,B),k1_nat_1(k1_nat_1(C,1),2))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_xcmplx_0(k1_newton(A,k1_nat_1(C,2)),k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(C,2),k1_newton(A,k1_nat_1(C,1))),B)),k1_newton(k2_xcmplx_0(A,B),k1_nat_1(C,2))) ) ) ) )).
fof(s2_nat_1__e5_39__vsdiff_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & m1_subset_1(F,u1_struct_0(C)) ) => ( ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k5_numbers,1)),G) = k4_struct_0(D) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),I) = k4_struct_0(D) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(k1_nat_1(H,1),1)),J) = k4_struct_0(D) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(H,1)),K) = k4_struct_0(D) ) ) ) ) )).
fof(s2_nat_1__e5_3__ntalgo_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( k8_nat_1(k4_ordinal1,A,k5_numbers) = k8_nat_1(k4_ordinal1,C,k5_numbers) & k8_nat_1(k4_ordinal1,B,k5_numbers) = k8_nat_1(k4_ordinal1,D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( ( k8_nat_1(k4_ordinal1,A,E) = k8_nat_1(k4_ordinal1,C,E) & k8_nat_1(k4_ordinal1,B,E) = k8_nat_1(k4_ordinal1,D,E) ) => ( k8_nat_1(k4_ordinal1,A,k1_nat_1(E,1)) = k8_nat_1(k4_ordinal1,C,k1_nat_1(E,1)) & k8_nat_1(k4_ordinal1,B,k1_nat_1(E,1)) = k8_nat_1(k4_ordinal1,D,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(k4_ordinal1,A,E) = k8_nat_1(k4_ordinal1,C,E) & k8_nat_1(k4_ordinal1,B,E) = k8_nat_1(k4_ordinal1,D,E) ) ) ) ) )).
fof(s2_nat_1__e5_3__polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v4_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k2_binom(A,B,k5_numbers) != k4_struct_0(A) & ! [C] : ( v7_ordinal1(C) => ( k2_binom(A,B,C) != k4_struct_0(A) => k2_binom(A,B,k1_nat_1(C,1)) != k4_struct_0(A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_binom(A,B,C) != k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e5_3__taxonom1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) & r2_tarski(B,k4_finseq_1(A)) ) => k1_funct_1(A,k5_numbers) = k1_funct_1(A,B) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(A)) & r2_tarski(D,k4_finseq_1(A)) ) => k1_funct_1(A,C) = k1_funct_1(A,D) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) & r2_tarski(E,k4_finseq_1(A)) ) => k1_funct_1(A,k1_nat_1(C,1)) = k1_funct_1(A,E) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(C,k4_finseq_1(A)) & r2_tarski(F,k4_finseq_1(A)) ) => k1_funct_1(A,C) = k1_funct_1(A,F) ) ) ) ) ) )).
fof(s2_nat_1__e5_40_1_1__flang_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( k7_flang_1(A,k1_flang_2(A,B,C,D),k5_numbers) = k1_flang_2(A,B,k3_xcmplx_0(C,k5_numbers),k3_xcmplx_0(D,k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( k7_flang_1(A,k1_flang_2(A,B,C,D),E) = k1_flang_2(A,B,k3_xcmplx_0(C,E),k3_xcmplx_0(D,E)) => k7_flang_1(A,k1_flang_2(A,B,C,D),k1_nat_1(E,1)) = k1_flang_2(A,B,k3_xcmplx_0(C,k1_nat_1(E,1)),k3_xcmplx_0(D,k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => k7_flang_1(A,k1_flang_2(A,B,C,D),E) = k1_flang_2(A,B,k3_xcmplx_0(C,E),k3_xcmplx_0(D,E)) ) ) ) )).
fof(s2_nat_1__e5_40__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => ( ( r1_tarski(k9_aofa_000(A,B,C),k9_aofa_000(A,B,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k9_aofa_000(A,B,C),k9_aofa_000(A,B,k2_xcmplx_0(C,D))) => r1_tarski(k9_aofa_000(A,B,C),k9_aofa_000(A,B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k9_aofa_000(A,B,C),k9_aofa_000(A,B,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e5_40__lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ( ( ( r1_xxreal_0(k5_numbers,k39_glib_000(B)) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,k5_numbers))) = k5_numbers ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k39_glib_000(B)) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) = C ) => ( r1_xxreal_0(k1_nat_1(C,1),k39_glib_000(B)) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,k1_nat_1(C,1)))) = k1_nat_1(C,1) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k39_glib_000(B)) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) = C ) ) ) ) )).
fof(s2_nat_1__e5_40__rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_numbers) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ( C = k4_rlvect_1(A,E) & r1_tarski(k2_relset_1(u1_struct_0(A),D),k2_rlvect_x(A,B)) & k3_finseq_1(D) = k5_numbers & k3_finseq_1(D) = k3_finseq_1(E) & k3_finseq_1(D) = k3_finseq_1(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(D))) => k7_partfun1(u1_struct_0(A),E,G) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),D,G),k1_funct_1(F,G)) ) ) ) => r2_tarski(C,k2_rlvect_x(A,B)) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ! [L] : ( ( v1_relat_1(L) & v5_relat_1(L,k4_numbers) & v1_funct_1(L) & v1_finseq_1(L) ) => ( ( I = k4_rlvect_1(A,K) & r1_tarski(k2_relset_1(u1_struct_0(A),J),k2_rlvect_x(A,B)) & k3_finseq_1(J) = H & k3_finseq_1(J) = k3_finseq_1(K) & k3_finseq_1(J) = k3_finseq_1(L) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k2_finseq_1(k3_finseq_1(J))) => k7_partfun1(u1_struct_0(A),K,M) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),J,M),k1_funct_1(L,M)) ) ) ) => r2_tarski(I,k2_rlvect_x(A,B)) ) ) ) ) => ! [N] : ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ! [Q] : ( ( v1_relat_1(Q) & v5_relat_1(Q,k4_numbers) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ( ( N = k4_rlvect_1(A,P) & r1_tarski(k2_relset_1(u1_struct_0(A),O),k2_rlvect_x(A,B)) & k3_finseq_1(O) = k1_nat_1(H,1) & k3_finseq_1(O) = k3_finseq_1(P) & k3_finseq_1(O) = k3_finseq_1(Q) & ! [R] : ( v7_ordinal1(R) => ( r2_tarski(R,k2_finseq_1(k3_finseq_1(O))) => k7_partfun1(u1_struct_0(A),P,R) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),O,R),k1_funct_1(Q,R)) ) ) ) => r2_tarski(N,k2_rlvect_x(A,B)) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [S] : ! [T] : ( m2_finseq_1(T,u1_struct_0(A)) => ! [U] : ( m2_finseq_1(U,u1_struct_0(A)) => ! [V] : ( ( v1_relat_1(V) & v5_relat_1(V,k4_numbers) & v1_funct_1(V) & v1_finseq_1(V) ) => ( ( S = k4_rlvect_1(A,U) & r1_tarski(k2_relset_1(u1_struct_0(A),T),k2_rlvect_x(A,B)) & k3_finseq_1(T) = H & k3_finseq_1(T) = k3_finseq_1(U) & k3_finseq_1(T) = k3_finseq_1(V) & ! [W] : ( v7_ordinal1(W) => ( r2_tarski(W,k2_finseq_1(k3_finseq_1(T))) => k7_partfun1(u1_struct_0(A),U,W) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),T,W),k1_funct_1(V,W)) ) ) ) => r2_tarski(S,k2_rlvect_x(A,B)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_40__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,2)),k1_nat_1(k3_xcmplx_0(3,k5_numbers),5)),12) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(k3_xcmplx_0(3,B),5)),12) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)),k1_nat_1(k3_xcmplx_0(3,k1_nat_1(B,1)),5)),12) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(k3_xcmplx_0(3,B),5)),12) ) ) ) )).
fof(s2_nat_1__e5_41__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(k9_aofa_000(A,B,k5_numbers),k9_aofa_000(A,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k9_aofa_000(A,B,D),k9_aofa_000(A,C,D)) => r1_tarski(k9_aofa_000(A,B,k1_nat_1(D,1)),k9_aofa_000(A,C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k9_aofa_000(A,B,D),k9_aofa_000(A,C,D)) ) ) ) )).
fof(s2_nat_1__e5_41__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),k5_numbers,C),k1_binop_1(k3_dblseq_2(B),k5_numbers,C)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),D,C),k1_binop_1(k3_dblseq_2(B),D,C)) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),k1_nat_1(D,1),C),k1_binop_1(k3_dblseq_2(B),k1_nat_1(D,1),C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),D,C),k1_binop_1(k3_dblseq_2(B),D,C)) ) ) ) )).
fof(s2_nat_1__e5_41__lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,B)),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,B)),C)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),C)) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,B)),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,B)),C)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k2_normsp_0(A,B))),C)) ) ) ) )).
fof(s2_nat_1__e5_41__mesfunc9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( v6_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( v6_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) => v6_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v6_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) ) ) ) )).
fof(s2_nat_1__e5_41__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,2)),k1_nat_1(k5_numbers,3)),k1_nat_1(k3_xcmplx_0(2,k5_numbers),3)),10) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)),k1_nat_1(k3_xcmplx_0(2,B),3)),10) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)),k1_nat_1(k1_nat_1(B,1),3)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),3)),10) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)),k1_nat_1(k3_xcmplx_0(2,B),3)),10) ) ) ) )).
fof(s2_nat_1__e5_41__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k5_numbers) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k5_numbers) ) ) ) )).
fof(s2_nat_1__e5_41__uproots,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k3_polynom5(A,B,k5_numbers) != k9_polynom3(A) & ! [C] : ( v7_ordinal1(C) => ( k3_polynom5(A,B,C) != k9_polynom3(A) => k3_polynom5(A,B,k1_nat_1(C,1)) != k9_polynom3(A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_polynom5(A,B,C) != k9_polynom3(A) ) ) ) )).
fof(s2_nat_1__e5_42_1_1__flang_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( r1_tarski(k1_flang_2(A,k7_flang_1(A,B,k5_numbers),C,D),k1_flang_2(A,B,k3_xcmplx_0(k5_numbers,C),k3_xcmplx_0(k5_numbers,D))) & ! [E] : ( v7_ordinal1(E) => ( r1_tarski(k1_flang_2(A,k7_flang_1(A,B,E),C,D),k1_flang_2(A,B,k3_xcmplx_0(E,C),k3_xcmplx_0(E,D))) => r1_tarski(k1_flang_2(A,k7_flang_1(A,B,k1_nat_1(E,1)),C,D),k1_flang_2(A,B,k3_xcmplx_0(k1_nat_1(E,1),C),k3_xcmplx_0(k1_nat_1(E,1),D))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_tarski(k1_flang_2(A,k7_flang_1(A,B,E),C,D),k1_flang_2(A,B,k3_xcmplx_0(E,C),k3_xcmplx_0(E,D))) ) ) ) )).
fof(s2_nat_1__e5_42_1__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),k5_numbers,k5_numbers),k1_binop_1(k4_dblseq_2(B),k5_numbers,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),C,k5_numbers),k1_binop_1(k4_dblseq_2(B),C,k5_numbers)) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),k1_nat_1(C,1),k5_numbers),k1_binop_1(k4_dblseq_2(B),k1_nat_1(C,1),k5_numbers)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),C,k5_numbers),k1_binop_1(k4_dblseq_2(B),C,k5_numbers)) ) ) ) )).
fof(s2_nat_1__e5_42__hilbasis,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( v6_ideal_1(k12_polynom1(k5_numbers,A)) & ! [B] : ( v7_ordinal1(B) => ( v6_ideal_1(k12_polynom1(B,A)) => v6_ideal_1(k12_polynom1(k1_nat_1(B,1),A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => v6_ideal_1(k12_polynom1(B,A)) ) ) ) )).
fof(s2_nat_1__e5_42__real_3,axiom,( ! [A] : ( v1_int_1(A) => ( ( k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(k5_numbers,1)) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(B,1)) = k5_numbers => k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(k1_nat_1(B,1),1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(B,1)) = k5_numbers ) ) ) )).
fof(s2_nat_1__e5_42__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k6_xcmplx_0(k3_xcmplx_0(k11_newton(2,k1_nat_1(k5_numbers,1)),k2_xcmplx_0(k6_xcmplx_0(k1_newton(k5_numbers,2),k5_numbers),2)),4) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k3_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k2_xcmplx_0(k6_xcmplx_0(k1_newton(B,2),B),2)),4) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k3_xcmplx_0(k11_newton(2,k1_nat_1(k1_nat_1(B,1),1)),k2_xcmplx_0(k6_xcmplx_0(k1_newton(k1_nat_1(B,1),2),k1_nat_1(B,1)),2)),4) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k3_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k2_xcmplx_0(k6_xcmplx_0(k1_newton(B,2),B),2)),4) ) ) ) )).
fof(s2_nat_1__e5_42__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e5_43__real_3,axiom,( ! [A] : ( v1_int_1(A) => ( ( k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(k5_numbers,1)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(k5_numbers,1)) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( ( k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(B,1)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,1)) = k5_numbers ) => ( k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(k1_nat_1(B,1),1)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(k1_nat_1(B,1),1)) = k5_numbers ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(B,1)) = k5_numbers & k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,1)) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e5_43__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) => ~ r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e5_44_1_1_1_1_1_1__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => k1_funct_1(C,k5_numbers) = k1_funct_1(B,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) => ( r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) => k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(B,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) ) ) ) )).
fof(s2_nat_1__e5_44_1_1_1_1_2_1__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => k1_funct_1(C,k5_numbers) = k1_funct_1(B,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) => ( r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) => k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(B,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) ) ) ) )).
fof(s2_nat_1__e5_44__flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) & m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) ) => ( ( r1_tarski(k7_flang_1(A,B,k5_numbers),k7_flang_1(A,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k7_flang_1(A,B,D),k7_flang_1(A,C,D)) => r1_tarski(k7_flang_1(A,B,k1_nat_1(D,1)),k7_flang_1(A,C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k7_flang_1(A,B,D),k7_flang_1(A,C,D)) ) ) ) )).
fof(s2_nat_1__e5_44__int_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k3_int_7(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => ( ( k9_nat_1(u1_struct_0(k3_int_7(A)),k4_group_1(k3_int_7(A)),B,k5_numbers) = k9_nat_1(u1_struct_0(k9_int_3(A)),k4_group_1(k9_int_3(A)),C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k9_nat_1(u1_struct_0(k3_int_7(A)),k4_group_1(k3_int_7(A)),B,D) = k9_nat_1(u1_struct_0(k9_int_3(A)),k4_group_1(k9_int_3(A)),C,D) => k9_nat_1(u1_struct_0(k3_int_7(A)),k4_group_1(k3_int_7(A)),B,k1_nat_1(D,1)) = k9_nat_1(u1_struct_0(k9_int_3(A)),k4_group_1(k9_int_3(A)),C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(k3_int_7(A)),k4_group_1(k3_int_7(A)),B,D) = k9_nat_1(u1_struct_0(k9_int_3(A)),k4_group_1(k9_int_3(A)),C,D) ) ) ) )).
fof(s2_nat_1__e5_44__mesfunc9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( v3_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( v3_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) => v3_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v3_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) ) ) ) )).
fof(s2_nat_1__e5_44__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e5_45__irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ( r1_xxreal_0(k5_numbers,A) => v1_int_1(k3_xcmplx_0(k7_newton(A),k1_funct_1(k3_series_1(k5_irrat_1),k5_numbers))) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(B,A) => v1_int_1(k3_xcmplx_0(k7_newton(A),k1_funct_1(k3_series_1(k5_irrat_1),B))) ) => ( r1_xxreal_0(k1_nat_1(B,1),A) => v1_int_1(k3_xcmplx_0(k7_newton(A),k1_funct_1(k3_series_1(k5_irrat_1),k1_nat_1(B,1)))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,A) => v1_int_1(k3_xcmplx_0(k7_newton(A),k1_funct_1(k3_series_1(k5_irrat_1),B))) ) ) ) ) )).
fof(s2_nat_1__e5_45__mesfunc9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( v4_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( v4_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) => v4_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v4_mesfunc5(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C)) ) ) ) )).
fof(s2_nat_1__e5_45__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k3_xcmplx_0(k1_nat_1(k5_numbers,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(k5_numbers,1))),k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k3_xcmplx_0(k1_nat_1(B,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(A),B)) => ~ r1_xxreal_0(k3_xcmplx_0(k1_nat_1(k1_nat_1(B,1),1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(k1_nat_1(B,1),1))),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k3_xcmplx_0(k1_nat_1(B,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e5_46__fintopo3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( k1_funct_1(k8_fintopo3(A,B),k5_numbers) = k3_subset_1(u1_struct_0(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),k6_fintopo3(A,k3_subset_1(u1_struct_0(A),B)),k10_subset_1(k5_numbers,k4_ordinal1))) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(k8_fintopo3(A,B),C) = k3_subset_1(u1_struct_0(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),k6_fintopo3(A,k3_subset_1(u1_struct_0(A),B)),k10_subset_1(C,k4_ordinal1))) => k1_funct_1(k8_fintopo3(A,B),k1_nat_1(C,1)) = k3_subset_1(u1_struct_0(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),k6_fintopo3(A,k3_subset_1(u1_struct_0(A),B)),k10_subset_1(k1_nat_1(C,1),k4_ordinal1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k8_fintopo3(A,B),C) = k3_subset_1(u1_struct_0(A),k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),k6_fintopo3(A,k3_subset_1(u1_struct_0(A),B)),k10_subset_1(C,k4_ordinal1))) ) ) ) )).
fof(s2_nat_1__e5_46__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & v7_ordinal1(D) ) => ( ( k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,k2_xcmplx_0(D,k5_numbers))) = k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,D)) & ! [E] : ( v7_ordinal1(E) => ( k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,k2_xcmplx_0(D,E))) = k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,D)) => k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,k2_xcmplx_0(D,k1_nat_1(E,1)))) = k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,D)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,k2_xcmplx_0(D,E))) = k8_eqrel_1(u1_struct_0(C),k6_fsm_1(A,B,C,D)) ) ) ) )).
fof(s2_nat_1__e5_46__groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( m2_ideal_1(E,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,D,C,E) & k3_finseq_1(E) = k5_numbers ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,D),k3_tarski(a_4_1_groeb_2(A,B,C,E))) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [H] : ( m2_ideal_1(H,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,G,C,H) & k3_finseq_1(H) = F ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,G),k3_tarski(a_4_1_groeb_2(A,B,C,H))) ) ) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(I,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [J] : ( m2_ideal_1(J,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,I,C,J) & k3_finseq_1(J) = k1_nat_1(F,1) ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,I),k3_tarski(a_4_1_groeb_2(A,B,C,J))) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(K,B) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [L] : ( m2_ideal_1(L,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,K,C,L) & k3_finseq_1(L) = F ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,K),k3_tarski(a_4_1_groeb_2(A,B,C,L))) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_46__int_6,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ( k3_finseq_1(A) = k5_numbers => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => ! [C] : ( v1_int_1(C) => ( C = k7_xcmplx_0(k19_rvsum_1(A),k1_funct_1(A,B)) => r1_int_2(C,k1_funct_1(A,B)) ) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_numbers) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finseq_1(E) & v1_partfun3(E) & v1_int_6(E) ) => ( k3_finseq_1(E) = D => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => ! [G] : ( v1_int_1(G) => ( G = k7_xcmplx_0(k19_rvsum_1(E),k1_funct_1(E,F)) => r1_int_2(G,k1_funct_1(E,F)) ) ) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_numbers) & v1_funct_1(H) & ~ v1_xboole_0(H) & v1_finseq_1(H) & v1_partfun3(H) & v1_int_6(H) ) => ( k3_finseq_1(H) = k1_nat_1(D,1) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(H)) => ! [J] : ( v1_int_1(J) => ( J = k7_xcmplx_0(k19_rvsum_1(H),k1_funct_1(H,I)) => r1_int_2(J,k1_funct_1(H,I)) ) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v1_relat_1(K) & v5_relat_1(K,k4_numbers) & v1_funct_1(K) & ~ v1_xboole_0(K) & v1_finseq_1(K) & v1_partfun3(K) & v1_int_6(K) ) => ( k3_finseq_1(K) = D => ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(K)) => ! [M] : ( v1_int_1(M) => ( M = k7_xcmplx_0(k19_rvsum_1(K),k1_funct_1(K,L)) => r1_int_2(M,k1_funct_1(K,L)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_46__irrat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k7_xcmplx_0(k7_newton(A),k7_newton(k1_nat_1(k2_xcmplx_0(A,k5_numbers),1))),k2_power(B,k1_nat_1(k5_numbers,1))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k7_xcmplx_0(k7_newton(A),k7_newton(k1_nat_1(k2_xcmplx_0(A,C),1))),k2_power(B,k1_nat_1(C,1))) => r1_xxreal_0(k7_xcmplx_0(k7_newton(A),k7_newton(k1_nat_1(k2_xcmplx_0(A,k1_nat_1(C,1)),1))),k2_power(B,k1_nat_1(k1_nat_1(C,1),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k7_xcmplx_0(k7_newton(A),k7_newton(k1_nat_1(k2_xcmplx_0(A,C),1))),k2_power(B,k1_nat_1(C,1))) ) ) ) )).
fof(s2_nat_1__e5_46__measure8,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k5_numbers) => r1_xxreal_0(k8_nat_1(k6_numbers,A,C),k8_nat_1(k6_numbers,B,C)) ) ) => r1_xxreal_0(k8_nat_1(k6_numbers,k16_supinf_2(A),k5_numbers),k8_nat_1(k6_numbers,k16_supinf_2(B),k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => r1_xxreal_0(k8_nat_1(k6_numbers,A,E),k8_nat_1(k6_numbers,B,E)) ) ) => r1_xxreal_0(k8_nat_1(k6_numbers,k16_supinf_2(A),D),k8_nat_1(k6_numbers,k16_supinf_2(B),D)) ) => ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k1_nat_1(D,1)) => r1_xxreal_0(k8_nat_1(k6_numbers,A,F),k8_nat_1(k6_numbers,B,F)) ) ) => r1_xxreal_0(k8_nat_1(k6_numbers,k16_supinf_2(A),k1_nat_1(D,1)),k8_nat_1(k6_numbers,k16_supinf_2(B),k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => r1_xxreal_0(k8_nat_1(k6_numbers,A,G),k8_nat_1(k6_numbers,B,G)) ) ) => r1_xxreal_0(k8_nat_1(k6_numbers,k16_supinf_2(A),D),k8_nat_1(k6_numbers,k16_supinf_2(B),D)) ) ) ) ) )).
fof(s2_nat_1__e5_46__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k5_numbers),C) & ! [E] : ( v7_ordinal1(E) => ( r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),E),C) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k1_nat_1(E,1)),C) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),E),C) ) ) ) )).
fof(s2_nat_1__e5_46__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k3_xcmplx_0(k1_nat_1(k5_numbers,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(k5_numbers,1)))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_xcmplx_0(k1_nat_1(B,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1)))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k3_xcmplx_0(k1_nat_1(k1_nat_1(B,1),1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_xcmplx_0(k1_nat_1(B,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1)))) ) ) ) )).
fof(s2_nat_1__e5_47_1__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,k5_numbers),k1_binop_1(k4_dblseq_2(A),C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,D),k1_binop_1(k4_dblseq_2(A),C,D)) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,k1_nat_1(D,1)),k1_binop_1(k4_dblseq_2(A),C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,D),k1_binop_1(k4_dblseq_2(A),C,D)) ) ) ) )).
fof(s2_nat_1__e5_47_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_measure4(B,A) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_measure4(A,B)) & v1_prob_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_measure4(A,B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => r1_xxreal_0(k1_xxreal_3(k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,k5_setlim_2(A,D,E),B)),k5_numbers),k12_supinf_2(B,k9_subset_1(A,E,k6_subset_1(A,k5_setfam_1(A,k4_measure1(A,k1_measure4(A,B),C)))))),k12_supinf_2(B,E)) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) => r1_xxreal_0(k1_xxreal_3(k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,k5_setlim_2(A,D,G),B)),F),k12_supinf_2(B,k9_subset_1(A,G,k6_subset_1(A,k5_setfam_1(A,k4_measure1(A,k1_measure4(A,B),C)))))),k12_supinf_2(B,G)) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(A)) => r1_xxreal_0(k1_xxreal_3(k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,k5_setlim_2(A,D,H),B)),k1_nat_1(F,1)),k12_supinf_2(B,k9_subset_1(A,H,k6_subset_1(A,k5_setfam_1(A,k4_measure1(A,k1_measure4(A,B),C)))))),k12_supinf_2(B,H)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(A)) => r1_xxreal_0(k1_xxreal_3(k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,k5_setlim_2(A,D,I),B)),F),k12_supinf_2(B,k9_subset_1(A,I,k6_subset_1(A,k5_setfam_1(A,k4_measure1(A,k1_measure4(A,B),C)))))),k12_supinf_2(B,I)) ) ) ) ) )).
fof(s2_nat_1__e5_47_2__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k5_numbers,B),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k5_numbers,C)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),D,B),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),D,C)) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(D,1),B),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(D,1),C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),D,B),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),D,C)) ) ) ) )).
fof(s2_nat_1__e5_47__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),k5_numbers) = k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(k5_numbers,1)) & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),k5_numbers) = k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(k5_numbers,1)) & ! [B] : ( v7_ordinal1(B) => ( ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),B) = k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(B,1)) & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),B) = k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,1)) ) => ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(k1_nat_1(B,1),1)) & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(k1_nat_1(B,1),1)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),B) = k8_nat_1(k1_numbers,k3_real_3(A),k1_nat_1(B,1)) & k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(1,k6_xcmplx_0(A,k8_nat_1(k1_numbers,k4_real_3(A),k5_numbers)))),B) = k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,1)) ) ) ) ) )).
fof(s2_nat_1__e5_48__combgras,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,A) ) => ! [C] : ( l1_combgras(C,k1_combgras(k5_numbers,B),k1_combgras(k5_numbers,B)) => ~ ( v7_combgras(C,k1_combgras(k5_numbers,B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => g1_combgras(k1_combgras(k5_numbers,B),k1_combgras(k5_numbers,B),u1_combgras(k1_combgras(k5_numbers,B),k1_combgras(k5_numbers,B),C),u2_combgras(k1_combgras(k5_numbers,B),k1_combgras(k5_numbers,B),C)) != k8_combgras(k5_numbers,B,D) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) ) => ! [F] : ( l1_combgras(F,k1_combgras(E,B),k1_combgras(E,B)) => ~ ( v7_combgras(F,k1_combgras(E,B)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,B) & v3_funct_2(G,B,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => g1_combgras(k1_combgras(E,B),k1_combgras(E,B),u1_combgras(k1_combgras(E,B),k1_combgras(E,B),F),u2_combgras(k1_combgras(E,B),k1_combgras(E,B),F)) != k8_combgras(E,B,G) ) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),A) ) => ! [H] : ( l1_combgras(H,k1_combgras(k1_nat_1(E,1),B),k1_combgras(k1_nat_1(E,1),B)) => ~ ( v7_combgras(H,k1_combgras(k1_nat_1(E,1),B)) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,B,B) & v3_funct_2(I,B,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => g1_combgras(k1_combgras(k1_nat_1(E,1),B),k1_combgras(k1_nat_1(E,1),B),u1_combgras(k1_combgras(k1_nat_1(E,1),B),k1_combgras(k1_nat_1(E,1),B),H),u2_combgras(k1_combgras(k1_nat_1(E,1),B),k1_combgras(k1_nat_1(E,1),B),H)) != k8_combgras(k1_nat_1(E,1),B,I) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) ) => ! [J] : ( l1_combgras(J,k1_combgras(E,B),k1_combgras(E,B)) => ~ ( v7_combgras(J,k1_combgras(E,B)) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,B,B) & v3_funct_2(K,B,B) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => g1_combgras(k1_combgras(E,B),k1_combgras(E,B),u1_combgras(k1_combgras(E,B),k1_combgras(E,B),J),u2_combgras(k1_combgras(E,B),k1_combgras(E,B),J)) != k8_combgras(E,B,K) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_48__groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,B)))) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [F] : ( m2_ideal_1(F,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,E,C,F) & E = k4_rlvect_1(k12_polynom1(A,B),F) & k3_finseq_1(F) = k5_numbers & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(F)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(I,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( k1_funct_1(F,G) = k10_polynom1(A,B,H,I) & r2_tarski(I,C) ) => k4_polynom1(A,B,k10_polynom1(A,B,H,I),D) = k4_struct_0(B) ) ) ) ) ) ) => k4_polynom1(A,B,E,D) = k4_struct_0(B) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(K,B) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [L] : ( m2_ideal_1(L,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,K,C,L) & K = k4_rlvect_1(k12_polynom1(A,B),L) & k3_finseq_1(L) = J & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(L)) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(N,A,B) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(O,B) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( k1_funct_1(L,M) = k10_polynom1(A,B,N,O) & r2_tarski(O,C) ) => k4_polynom1(A,B,k10_polynom1(A,B,N,O),D) = k4_struct_0(B) ) ) ) ) ) ) => k4_polynom1(A,B,K,D) = k4_struct_0(B) ) ) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(P,B) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [Q] : ( m2_ideal_1(Q,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,P,C,Q) & P = k4_rlvect_1(k12_polynom1(A,B),Q) & k3_finseq_1(Q) = k1_nat_1(J,1) & ! [R] : ( m1_subset_1(R,k4_ordinal1) => ( r2_tarski(R,k4_finseq_1(Q)) => ! [S] : ( ( v1_funct_1(S) & v1_funct_2(S,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(S,A,B) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [T] : ( ( v1_funct_1(T) & v1_funct_2(T,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(T,B) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( k1_funct_1(Q,R) = k10_polynom1(A,B,S,T) & r2_tarski(T,C) ) => k4_polynom1(A,B,k10_polynom1(A,B,S,T),D) = k4_struct_0(B) ) ) ) ) ) ) => k4_polynom1(A,B,P,D) = k4_struct_0(B) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(U,B) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [V] : ( m2_ideal_1(V,k12_polynom1(A,B),C) => ( ( r2_groeb_2(A,B,U,C,V) & U = k4_rlvect_1(k12_polynom1(A,B),V) & k3_finseq_1(V) = J & ! [W] : ( m1_subset_1(W,k4_ordinal1) => ( r2_tarski(W,k4_finseq_1(V)) => ! [X] : ( ( v1_funct_1(X) & v1_funct_2(X,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(X,A,B) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [Y] : ( ( v1_funct_1(Y) & v1_funct_2(Y,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(Y,B) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( k1_funct_1(V,W) = k10_polynom1(A,B,X,Y) & r2_tarski(Y,C) ) => k4_polynom1(A,B,k10_polynom1(A,B,X,Y),D) = k4_struct_0(B) ) ) ) ) ) ) => k4_polynom1(A,B,U,D) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_48__hallmar1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & m2_finseq_1(B,k1_zfmisc_1(A)) ) => ( ( ~ ( r2_tarski(k5_numbers,k4_finseq_1(B)) & ! [C] : ( m3_hallmar1(C,A,B,k5_numbers) => ~ ( v1_hallmar1(C,A) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k5_numbers) ) => m3_hallmar1(C,A,B,D) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r2_tarski(E,k4_finseq_1(B)) & ! [F] : ( m3_hallmar1(F,A,B,E) => ~ ( v1_hallmar1(F,A) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,E) ) => m3_hallmar1(F,A,B,G) ) ) ) ) ) => ~ ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(B)) & ! [H] : ( m3_hallmar1(H,A,B,k1_nat_1(E,1)) => ~ ( v1_hallmar1(H,A) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k1_nat_1(E,1)) ) => m3_hallmar1(H,A,B,I) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(B)) & ! [J] : ( m3_hallmar1(J,A,B,E) => ~ ( v1_hallmar1(J,A) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( ( r1_xxreal_0(1,K) & r1_xxreal_0(K,E) ) => m3_hallmar1(J,A,B,K) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_48__o_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( k5_numbers = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k5_numbers),A) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => ( k5_numbers = C | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => ( k5_numbers = k1_nat_1(C,1) | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( k5_numbers = C | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(s2_nat_1__e5_49_1__clopban3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v2_cfuncdom(A) & v3_group_1(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),k5_numbers)) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),k5_numbers),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),C)) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),C),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),C)) ) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),k1_nat_1(C,1))) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),k1_nat_1(C,1)),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),C)) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k2_clopban3(A,B)),C),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),C)) ) ) ) ) )).
fof(s2_nat_1__e5_49__rfunct_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,k3_rfunct_3(A,k1_numbers)) => ( ( k3_finseq_1(C) = k5_numbers & r1_rfunct_3(A,k1_numbers,C,B) ) => k1_funct_1(k14_rfunct_3(A,C),B) = k18_rvsum_1(k17_rfunct_3(A,C,B)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k3_rfunct_3(A,k1_numbers)) => ( ( k3_finseq_1(E) = D & r1_rfunct_3(A,k1_numbers,E,B) ) => k1_funct_1(k14_rfunct_3(A,E),B) = k18_rvsum_1(k17_rfunct_3(A,E,B)) ) ) => ! [F] : ( m2_finseq_1(F,k3_rfunct_3(A,k1_numbers)) => ( ( k3_finseq_1(F) = k1_nat_1(D,1) & r1_rfunct_3(A,k1_numbers,F,B) ) => k1_funct_1(k14_rfunct_3(A,F),B) = k18_rvsum_1(k17_rfunct_3(A,F,B)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_finseq_1(G,k3_rfunct_3(A,k1_numbers)) => ( ( k3_finseq_1(G) = D & r1_rfunct_3(A,k1_numbers,G,B) ) => k1_funct_1(k14_rfunct_3(A,G),B) = k18_rvsum_1(k17_rfunct_3(A,G,B)) ) ) ) ) ) )).
fof(s2_nat_1__e5_49__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),B)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),B)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) ) ) ) )).
fof(s2_nat_1__e5_4_2_2_2__bhsp_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(k1_nat_1(B,1),k5_numbers) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_funct_1(A,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_nat_1(B,1),C) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_funct_1(A,C)) ) => ( r1_xxreal_0(k1_nat_1(B,1),k1_nat_1(C,1)) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_nat_1(B,1),C) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_funct_1(A,C)) ) ) ) ) )).
fof(s2_nat_1__e5_4_2__fintopo5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k10_fintopo3(A,k5_numbers,D)) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F),k10_fintopo3(B,k5_numbers,E)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,k10_fintopo3(A,G,D)) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,H),k10_fintopo3(B,G,E)) ) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(I,k10_fintopo3(A,k1_nat_1(G,1),D)) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,I),k10_fintopo3(B,k1_nat_1(G,1),E)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(J,k10_fintopo3(A,G,D)) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,J),k10_fintopo3(B,G,E)) ) ) ) ) ) )).
fof(s2_nat_1__e5_4__circcmb2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) ) => ( ( k5_facirc_1(A,B,C,k5_numbers) = C & ! [D] : ( v7_ordinal1(D) => ( k5_facirc_1(A,B,C,D) = C => k5_facirc_1(A,B,C,k1_nat_1(D,1)) = C ) ) ) => ! [D] : ( v7_ordinal1(D) => k5_facirc_1(A,B,C,D) = C ) ) ) )).
fof(s2_nat_1__e5_4__csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A)),k5_numbers) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A)),B) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) => k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A)),k1_nat_1(B,1)) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k55_valued_1(k4_ordinal1,k2_numbers,k10_comseq_3(A)),B) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) ) ) ) )).
fof(s2_nat_1__e5_4__hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ( ? [D] : ( m1_subset_1(D,k4_ordinal1) & D = k5_numbers & k6_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C),k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,D)) = k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,k1_nat_1(C,D)) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = E & k6_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C),k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,F)) = k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,k1_nat_1(C,F)) ) => ? [G] : ( m1_subset_1(G,k4_ordinal1) & G = k1_nat_1(E,1) & k6_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C),k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,G)) = k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,k1_nat_1(C,G)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ? [H] : ( m1_subset_1(H,k4_ordinal1) & H = E & k6_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C),k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,H)) = k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,k1_nat_1(C,H)) ) ) ) ) )).
fof(s2_nat_1__e5_4__zmodul03,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => ( ( ! [B] : ( v1_int_1(B) => ( B = k5_numbers => k3_xcmplx_0(B,A) = k5_binom(k1_int_3,A,k5_numbers) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v1_int_1(D) => ( D = C => k3_xcmplx_0(D,A) = k5_binom(k1_int_3,A,C) ) ) => ! [E] : ( v1_int_1(E) => ( E = k1_nat_1(C,1) => k3_xcmplx_0(E,A) = k5_binom(k1_int_3,A,k1_nat_1(C,1)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v1_int_1(F) => ( F = C => k3_xcmplx_0(F,A) = k5_binom(k1_int_3,A,C) ) ) ) ) ) )).
fof(s2_nat_1__e5_50__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( r1_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( r1_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),E)) => r1_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),E)) ) ) ) )).
fof(s2_nat_1__e5_50__nat_4,axiom,( ( ! [A] : ! [B] : ( v1_finset_1(B) => ( ( r1_tarski(A,B) & r1_tarski(B,k4_ordinal1) & k4_card_1(B) = k5_numbers ) => ( r2_tarski(k1_xboole_0,B) | r1_xxreal_0(k2_wsierp_1(k14_finseq_1(A)),k2_wsierp_1(k14_finseq_1(B))) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ! [E] : ( v1_finset_1(E) => ( ( r1_tarski(D,E) & r1_tarski(E,k4_ordinal1) & k4_card_1(E) = C ) => ( r2_tarski(k1_xboole_0,E) | r1_xxreal_0(k2_wsierp_1(k14_finseq_1(D)),k2_wsierp_1(k14_finseq_1(E))) ) ) ) => ! [F] : ! [G] : ( v1_finset_1(G) => ( ( r1_tarski(F,G) & r1_tarski(G,k4_ordinal1) & k4_card_1(G) = k1_nat_1(C,1) ) => ( r2_tarski(k1_xboole_0,G) | r1_xxreal_0(k2_wsierp_1(k14_finseq_1(F)),k2_wsierp_1(k14_finseq_1(G))) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ! [I] : ( v1_finset_1(I) => ( ( r1_tarski(H,I) & r1_tarski(I,k4_ordinal1) & k4_card_1(I) = C ) => ( r2_tarski(k1_xboole_0,I) | r1_xxreal_0(k2_wsierp_1(k14_finseq_1(H)),k2_wsierp_1(k14_finseq_1(I))) ) ) ) ) )).
fof(s2_nat_1__e5_50__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k6_xcmplx_0(k7_xcmplx_0(k11_newton(2,k1_nat_1(k5_numbers,1)),k1_nat_1(k5_numbers,3)),k7_xcmplx_0(1,2)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k1_nat_1(B,3)),k7_xcmplx_0(1,2)) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_xcmplx_0(k11_newton(2,k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),3)),k7_xcmplx_0(1,2)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k1_nat_1(B,3)),k7_xcmplx_0(1,2)) ) ) ) )).
fof(s2_nat_1__e5_51_1__bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k1_bcialg_5(A,C,D,k5_numbers,k5_numbers) = D ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => k1_bcialg_5(A,C,D,E,E) = D ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => k1_bcialg_5(A,C,D,k1_nat_1(E,1),k1_nat_1(E,1)) = D ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k1_bcialg_5(A,C,D,E,E) = D ) ) ) ) )).
fof(s2_nat_1__e5_51_1__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k5_numbers)) = k12_supinf_2(k1_mesfunc9(E),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),F)) = k12_supinf_2(k1_mesfunc9(E),F) => k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k1_nat_1(F,1))) = k12_supinf_2(k1_mesfunc9(E),k1_nat_1(F,1)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),F)) = k12_supinf_2(k1_mesfunc9(E),F) ) ) ) )).
fof(s2_nat_1__e5_51_2__bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k1_bcialg_5(A,C,D,k5_numbers,k1_nat_1(k5_numbers,1)) = C ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => k1_bcialg_5(A,C,D,E,k1_nat_1(E,1)) = C ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => k1_bcialg_5(A,C,D,k1_nat_1(E,1),k1_nat_1(k1_nat_1(E,1),1)) = C ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k1_bcialg_5(A,C,D,E,k1_nat_1(E,1)) = C ) ) ) ) )).
fof(s2_nat_1__e5_51_3__bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k1_bcialg_5(A,E,F,k2_xcmplx_0(D,k5_numbers),D) = k1_bcialg_5(A,F,E,C,k1_nat_1(k2_xcmplx_0(C,k5_numbers),1)) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,B) => k1_bcialg_5(A,E,F,k2_xcmplx_0(D,G),D) = k1_bcialg_5(A,F,E,C,k1_nat_1(k2_xcmplx_0(C,G),1)) ) => ( r1_xxreal_0(k1_nat_1(G,1),B) => k1_bcialg_5(A,E,F,k2_xcmplx_0(D,k1_nat_1(G,1)),D) = k1_bcialg_5(A,F,E,C,k1_nat_1(k2_xcmplx_0(C,k1_nat_1(G,1)),1)) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,B) => k1_bcialg_5(A,E,F,k2_xcmplx_0(D,G),D) = k1_bcialg_5(A,F,E,C,k1_nat_1(k2_xcmplx_0(C,G),1)) ) ) ) ) )).
fof(s2_nat_1__e5_51__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v2_struct_0(D) & v8_struct_0(D) & l2_fsm_1(D,B,C) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k1_nat_1(A,1)) & r1_xxreal_0(k4_card_1(k7_fsm_1(B,C,D,k5_numbers)),k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r1_xxreal_0(E,k1_nat_1(A,1)) & r1_xxreal_0(k4_card_1(k7_fsm_1(B,C,D,E)),E) ) => ~ ( r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(A,1)) & r1_xxreal_0(k4_card_1(k7_fsm_1(B,C,D,k1_nat_1(E,1))),k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,k1_nat_1(A,1)) & r1_xxreal_0(k4_card_1(k7_fsm_1(B,C,D,E)),E) ) ) ) ) )).
fof(s2_nat_1__e5_51__taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( ( k1_funct_1(A,C) = k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,C,C)),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(A,C) = k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,C,C)),D) => k1_funct_1(A,C) = k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,C,C)),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(A,C) = k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(A,B,C,C)),D) ) ) ) )).
fof(s2_nat_1__e5_52_1_2__uniroots,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k1_complfld)) & v1_xreal_0(B) ) => ( ( k1_binop_1(k4_group_1(k1_complfld),A,k5_numbers) = k1_newton(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k4_group_1(k1_complfld),A,C) = k1_newton(B,C) => k1_binop_1(k4_group_1(k1_complfld),A,k1_nat_1(C,1)) = k1_newton(B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k4_group_1(k1_complfld),A,C) = k1_newton(B,C) ) ) ) )).
fof(s2_nat_1__e5_52_3_1_2__catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( k1_relset_1(k4_ordinal1,B) = k1_nat_1(k5_numbers,1) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k5_numbers) => k1_recdef_1(B,C) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),1),C),A)) ) ) ) => k7_afinsq_2(B) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),2),k5_numbers),k1_nat_1(A,1))) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v5_ordinal1(E) & v1_finset_1(E) ) => ( ( k1_relset_1(k4_ordinal1,E) = k1_nat_1(D,1) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,D) => k1_recdef_1(E,F) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),1),F),A)) ) ) ) => k7_afinsq_2(E) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),2),D),k1_nat_1(A,1))) ) ) => ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,k4_ordinal1) & v1_funct_1(G) & v5_ordinal1(G) & v1_finset_1(G) ) => ( ( k1_relset_1(k4_ordinal1,G) = k1_nat_1(k1_nat_1(D,1),1) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,k1_nat_1(D,1)) => k1_recdef_1(G,H) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),1),H),A)) ) ) ) => k7_afinsq_2(G) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),2),k1_nat_1(D,1)),k1_nat_1(A,1))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( ( v1_relat_1(I) & v5_relat_1(I,k4_ordinal1) & v1_funct_1(I) & v5_ordinal1(I) & v1_finset_1(I) ) => ( ( k1_relset_1(k4_ordinal1,I) = k1_nat_1(D,1) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,D) => k1_recdef_1(I,J) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),1),J),A)) ) ) ) => k7_afinsq_2(I) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),2),D),k1_nat_1(A,1))) ) ) ) ) ) )).
fof(s2_nat_1__e5_52__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k5_numbers) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k5_numbers) ) ) ) )).
fof(s2_nat_1__e5_53_1__lopban_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),k5_numbers)) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),k5_numbers),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),C)) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),C),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),C)) ) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),k1_nat_1(C,1))) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),k1_nat_1(C,1)),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),C)) & r1_xxreal_0(k8_nat_1(k1_numbers,k5_normsp_0(A,k5_lopban_3(A,B)),C),k8_nat_1(k1_numbers,k1_prepower(k2_normsp_0(A,B)),C)) ) ) ) ) )).
fof(s2_nat_1__e5_53_1__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_nat_1(k2_numbers,k2_comseq_2(k4_ordinal1,k10_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k5_numbers) = k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1)))),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k2_numbers,k2_comseq_2(k4_ordinal1,k10_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),B) = k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1)))),B) => k8_nat_1(k2_numbers,k2_comseq_2(k4_ordinal1,k10_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),k1_nat_1(B,1)) = k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1)))),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,k2_comseq_2(k4_ordinal1,k10_comseq_3(k3_sin_cos(k3_xcmplx_0(A,k7_complex1)))),B) = k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k4_xcmplx_0(k3_xcmplx_0(A,k7_complex1)))),B) ) ) ) )).
fof(s2_nat_1__e5_53__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_freealg(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( ~ r2_hidden(C,k9_aofa_000(A,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( ~ r2_hidden(C,k9_aofa_000(A,B,D)) => ~ r2_hidden(C,k9_aofa_000(A,B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ r2_hidden(C,k9_aofa_000(A,B,D)) ) ) ) )).
fof(s2_nat_1__e5_53__matrix_9,axiom,( ( ! [A] : ( m2_finseq_1(A,u1_struct_0(k10_matrix_1(3))) => ~ ( k3_finseq_1(A) = k3_xcmplx_0(2,k5_numbers) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( m1_matrix_1(C,k9_matrix_1(3)) => ~ ( k1_funct_1(A,B) = C & v5_matrix_1(C,k8_matrix_1(k9_matrix_1(3))) ) ) ) ) & k3_group_4(k10_matrix_1(3),A) != k3_finseq_4(k4_ordinal1,1,2,3) & k3_group_4(k10_matrix_1(3),A) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_group_4(k10_matrix_1(3),A) != k3_finseq_4(k4_ordinal1,3,1,2) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k10_matrix_1(3))) => ~ ( k3_finseq_1(E) = k3_xcmplx_0(2,D) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_matrix_1(G,k9_matrix_1(3)) => ~ ( k1_funct_1(E,F) = G & v5_matrix_1(G,k8_matrix_1(k9_matrix_1(3))) ) ) ) ) & k3_group_4(k10_matrix_1(3),E) != k3_finseq_4(k4_ordinal1,1,2,3) & k3_group_4(k10_matrix_1(3),E) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_group_4(k10_matrix_1(3),E) != k3_finseq_4(k4_ordinal1,3,1,2) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k10_matrix_1(3))) => ~ ( k3_finseq_1(H) = k3_xcmplx_0(2,k1_nat_1(D,1)) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(H)) & ! [J] : ( m1_matrix_1(J,k9_matrix_1(3)) => ~ ( k1_funct_1(H,I) = J & v5_matrix_1(J,k8_matrix_1(k9_matrix_1(3))) ) ) ) ) & k3_group_4(k10_matrix_1(3),H) != k3_finseq_4(k4_ordinal1,1,2,3) & k3_group_4(k10_matrix_1(3),H) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_group_4(k10_matrix_1(3),H) != k3_finseq_4(k4_ordinal1,3,1,2) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k10_matrix_1(3))) => ~ ( k3_finseq_1(K) = k3_xcmplx_0(2,D) & ! [L] : ( m1_subset_1(L,k4_ordinal1) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( m1_matrix_1(M,k9_matrix_1(3)) => ~ ( k1_funct_1(K,L) = M & v5_matrix_1(M,k8_matrix_1(k9_matrix_1(3))) ) ) ) ) & k3_group_4(k10_matrix_1(3),K) != k3_finseq_4(k4_ordinal1,1,2,3) & k3_group_4(k10_matrix_1(3),K) != k3_finseq_4(k4_ordinal1,2,3,1) & k3_group_4(k10_matrix_1(3),K) != k3_finseq_4(k4_ordinal1,3,1,2) ) ) ) )).
fof(s2_nat_1__e5_53__rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k8_afinsq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(D) & l1_rewrite3(D,C) & m1_rewrite1(E,k1_rewrite3(A,C,D)) ) => ( ( ~ ( r2_tarski(k6_xcmplx_0(k3_finseq_1(E),k5_numbers),k4_finseq_1(E)) & ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => k2_xtuple_0(k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),k5_numbers))) != k1_flang_1(A,F,B) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r2_tarski(k6_xcmplx_0(k3_finseq_1(E),G),k4_finseq_1(E)) & ! [H] : ( m1_subset_1(H,k8_afinsq_1(A)) => k2_xtuple_0(k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),G))) != k1_flang_1(A,H,B) ) ) => ~ ( r2_tarski(k6_xcmplx_0(k3_finseq_1(E),k1_nat_1(G,1)),k4_finseq_1(E)) & ! [I] : ( m1_subset_1(I,k8_afinsq_1(A)) => k2_xtuple_0(k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),k1_nat_1(G,1)))) != k1_flang_1(A,I,B) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(k6_xcmplx_0(k3_finseq_1(E),G),k4_finseq_1(E)) & ! [J] : ( m1_subset_1(J,k8_afinsq_1(A)) => k2_xtuple_0(k1_funct_1(E,k6_xcmplx_0(k3_finseq_1(E),G))) != k1_flang_1(A,J,B) ) ) ) ) ) )).
fof(s2_nat_1__e5_53__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_series_3(A),B)) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k1_series_3(A),B)) ) ) ) )).
fof(s2_nat_1__e5_54__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(k5_numbers,2)),k3_xcmplx_0(3,k2_xcmplx_0(k11_newton(2,k1_nat_1(k5_numbers,2)),k1_newton(k4_xcmplx_0(1),k1_nat_1(k5_numbers,2)))))) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,2)),k3_xcmplx_0(3,k2_xcmplx_0(k11_newton(2,k1_nat_1(B,2)),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,2)))))) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(k1_nat_1(B,1),2)),k3_xcmplx_0(3,k2_xcmplx_0(k11_newton(2,k1_nat_1(k1_nat_1(B,1),2)),k1_newton(k4_xcmplx_0(1),k1_nat_1(k1_nat_1(B,1),2)))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,2)),k3_xcmplx_0(3,k2_xcmplx_0(k11_newton(2,k1_nat_1(B,2)),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,2)))))) ) ) ) )).
fof(s2_nat_1__e5_54__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers),k5_numbers) & ~ r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k5_numbers) & ~ r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),B)) ) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)),k5_numbers) & ~ r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k5_numbers) & ~ r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),B)) ) ) ) ) )).
fof(s2_nat_1__e5_55_3_1__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m1_subset_1(D,A) ) => ( ( k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,C,D)),k5_numbers) = k12_supinf_2(k3_mesfunc5(A,B,D),k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,C,D)),E) = k12_supinf_2(k3_mesfunc5(A,B,D),E) => k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,C,D)),k1_nat_1(E,1)) = k12_supinf_2(k3_mesfunc5(A,B,D),k1_nat_1(E,1)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k12_supinf_2(k1_mesfunc9(k3_mesfunc5(A,C,D)),E) = k12_supinf_2(k3_mesfunc5(A,B,D),E) ) ) ) )).
fof(s2_nat_1__e5_55__random_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) ) => ( ( m2_prob_1(k1_funct_1(k9_random_3(A,B),k5_numbers),k1_funct_1(k5_random_3(A),k5_numbers),k1_random_1(k1_funct_1(k5_random_3(A),k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( m2_prob_1(k1_funct_1(k9_random_3(A,B),C),k1_funct_1(k5_random_3(A),C),k1_random_1(k1_funct_1(k5_random_3(A),C))) => m2_prob_1(k1_funct_1(k9_random_3(A,B),k1_nat_1(C,1)),k1_funct_1(k5_random_3(A),k1_nat_1(C,1)),k1_random_1(k1_funct_1(k5_random_3(A),k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => m2_prob_1(k1_funct_1(k9_random_3(A,B),C),k1_funct_1(k5_random_3(A),C),k1_random_1(k1_funct_1(k5_random_3(A),C))) ) ) ) )).
fof(s2_nat_1__e5_55__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),B)) => r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(1,k8_nat_1(k1_numbers,k1_series_3(A),B)) ) ) ) )).
fof(s2_nat_1__e5_57__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers),k7_xcmplx_0(1,k3_square_1(k1_nat_1(k3_xcmplx_0(3,k5_numbers),4)))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k7_xcmplx_0(1,k3_square_1(k1_nat_1(k3_xcmplx_0(3,B),4)))) => r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)),k7_xcmplx_0(1,k3_square_1(k1_nat_1(k3_xcmplx_0(3,k1_nat_1(B,1)),4)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k7_xcmplx_0(1,k3_square_1(k1_nat_1(k3_xcmplx_0(3,B),4)))) ) ) ) )).
fof(s2_nat_1__e5_58__funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(k4_funct_7(B,A))) => k1_funct_1(k4_funct_7(k7_finseq_1(B,k9_finseq_1(C)),A),k5_numbers) = k1_funct_1(k4_funct_7(B,A),k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(k4_funct_7(B,A))) => k1_funct_1(k4_funct_7(k7_finseq_1(B,k9_finseq_1(C)),A),D) = k1_funct_1(k4_funct_7(B,A),D) ) => ( r2_tarski(k1_nat_1(D,1),k4_finseq_1(k4_funct_7(B,A))) => k1_funct_1(k4_funct_7(k7_finseq_1(B,k9_finseq_1(C)),A),k1_nat_1(D,1)) = k1_funct_1(k4_funct_7(B,A),k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(k4_funct_7(B,A))) => k1_funct_1(k4_funct_7(k7_finseq_1(B,k9_finseq_1(C)),A),D) = k1_funct_1(k4_funct_7(B,A),D) ) ) ) ) )).
fof(s2_nat_1__e5_58__matrtop3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(k15_euclid(C))) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,C) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))) & v3_matrtop3(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))))) ) => ~ ( v1_matrtop3(E,k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(k5_numbers)),k3_matrix13(B))) & ( ~ r1_xxreal_0(k4_card_1(k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(k5_numbers)),k3_matrix13(B))),1) => r1_xxreal_0(k5_numbers,k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),E,D),B)) ) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k9_subset_1(k4_ordinal1,A,k2_finseq_1(k5_numbers))) => ( F = B | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),E,D),F) = k5_numbers ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r1_xxreal_0(G,C) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))) & v3_matrtop3(H,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))))) ) => ~ ( v1_matrtop3(H,k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(G)),k3_matrix13(B))) & ( ~ r1_xxreal_0(k4_card_1(k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(G)),k3_matrix13(B))),1) => r1_xxreal_0(k5_numbers,k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),H,D),B)) ) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k9_subset_1(k4_ordinal1,A,k2_finseq_1(G))) => ( I = B | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),H,D),I) = k5_numbers ) ) ) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(G,1),C) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))) & v3_matrtop3(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))))) ) => ~ ( v1_matrtop3(J,k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(k1_nat_1(G,1))),k3_matrix13(B))) & ( ~ r1_xxreal_0(k4_card_1(k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(k1_nat_1(G,1))),k3_matrix13(B))),1) => r1_xxreal_0(k5_numbers,k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),J,D),B)) ) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k9_subset_1(k4_ordinal1,A,k2_finseq_1(k1_nat_1(G,1)))) => ( K = B | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),J,D),K) = k5_numbers ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,C) & ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))) & v3_matrtop3(L,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C))))) ) => ~ ( v1_matrtop3(L,k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(G)),k3_matrix13(B))) & ( ~ r1_xxreal_0(k4_card_1(k4_subset_1(k4_ordinal1,k9_subset_1(k4_ordinal1,A,k2_finseq_1(G)),k3_matrix13(B))),1) => r1_xxreal_0(k5_numbers,k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),L,D),B)) ) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k9_subset_1(k4_ordinal1,A,k2_finseq_1(G))) => ( M = B | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(C)),u1_struct_0(k15_euclid(C)),L,D),M) = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_58__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & m2_measure8(D,A,B) ) => ( ( ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k8_nat_1(k9_setfam_1(A),k2_prob_3(A,D),k5_numbers))) & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k8_nat_1(k9_setfam_1(A),k2_prob_3(A,D),E))) => ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k8_nat_1(k9_setfam_1(A),k2_prob_3(A,D),k1_nat_1(E,1)))) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k8_nat_1(k9_setfam_1(A),k2_prob_3(A,D),E))) ) ) ) )).
fof(s2_nat_1__e5_58__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) ) => ( ( ! [E] : ( m2_vectsp_6(E,A,B,k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) => ( k4_card_1(k1_vectsp_6(A,B,E)) = k5_numbers => ( k4_card_1(C) = k4_card_1(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,E))))) & v1_vectsp_7(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,E)))),A,B) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_vectsp_6(G,A,B,k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) => ( k4_card_1(k1_vectsp_6(A,B,G)) = F => ( k4_card_1(C) = k4_card_1(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,G))))) & v1_vectsp_7(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,G)))),A,B) ) ) ) => ! [H] : ( m2_vectsp_6(H,A,B,k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) => ( k4_card_1(k1_vectsp_6(A,B,H)) = k1_nat_1(F,1) => ( k4_card_1(C) = k4_card_1(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,H))))) & v1_vectsp_7(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,H)))),A,B) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m2_vectsp_6(I,A,B,k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) => ( k4_card_1(k1_vectsp_6(A,B,I)) = F => ( k4_card_1(C) = k4_card_1(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,I))))) & v1_vectsp_7(k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k4_vectsp_6(A,B,I)))),A,B) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_59__o_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( k5_numbers = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k5_numbers),A) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => ( k5_numbers = C | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => ( k5_numbers = k1_nat_1(C,1) | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( k5_numbers = C | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(s2_nat_1__e5_59__series_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)),k8_nat_1(k1_numbers,k1_series_3(B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),C)),k8_nat_1(k1_numbers,k1_series_3(B),C)) => r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k1_series_3(B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),C)),k8_nat_1(k1_numbers,k1_series_3(B),C)) ) ) ) )).
fof(s2_nat_1__e5_59__stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_rewrite1(C,k12_stacks_1(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,k5_numbers),k11_stacks_1(A,B)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,D),k11_stacks_1(A,B)) ) => ( r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),k11_stacks_1(A,B)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,D),k11_stacks_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e5_5_2__matrprob,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) ) => ( ( ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) & r1_xxreal_0(C,k5_numbers) ) => r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k8_nat_1(k1_numbers,B,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r2_tarski(D,k4_finseq_1(A)) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k8_nat_1(k1_numbers,B,D)) ) => ( ( r2_tarski(k1_nat_1(D,1),k4_finseq_1(A)) & r1_xxreal_0(C,k1_nat_1(D,1)) ) => r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k8_nat_1(k1_numbers,B,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(A)) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k8_nat_1(k1_numbers,B,C),k8_nat_1(k1_numbers,B,D)) ) ) ) ) )).
fof(s2_nat_1__e5_5__group_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_group_2(C,A) & m1_subset_1(D,u1_struct_0(C)) ) => ( ( k5_group_1(A,B,k5_numbers) = k5_group_1(C,D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k5_group_1(A,B,E) = k5_group_1(C,D,E) => k5_group_1(A,B,k1_nat_1(E,1)) = k5_group_1(C,D,k1_nat_1(E,1)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k5_group_1(A,B,E) = k5_group_1(C,D,E) ) ) ) )).
fof(s2_nat_1__e5_5__nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(k5_numbers,k1_newton(A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k1_newton(A,B)) => r1_xxreal_0(k1_nat_1(B,1),k1_newton(A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(B,k1_newton(A,B)) ) ) ) )).
fof(s2_nat_1__e5_60_1__matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ~ ( k4_matrix_3(A,C,B) = k3_matrix_1(A,k5_numbers) & ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => k4_matrix_3(A,B,D) != k3_matrix_1(A,k5_numbers) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),E,E) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(A),E,E) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(A))) ) => ~ ( k4_matrix_3(A,G,F) = k3_matrix_1(A,E) & ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(A),E,E) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(A))) ) => k4_matrix_3(A,F,H) != k3_matrix_1(A,E) ) ) ) ) => ! [I] : ( ( v1_matrix_0(I) & v2_matrix_0(I,u1_struct_0(A),k1_nat_1(E,1),k1_nat_1(E,1)) & m2_finseq_1(I,k3_finseq_2(u1_struct_0(A))) ) => ! [J] : ( ( v1_matrix_0(J) & v2_matrix_0(J,u1_struct_0(A),k1_nat_1(E,1),k1_nat_1(E,1)) & m2_finseq_1(J,k3_finseq_2(u1_struct_0(A))) ) => ~ ( k4_matrix_3(A,J,I) = k3_matrix_1(A,k1_nat_1(E,1)) & ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),k1_nat_1(E,1),k1_nat_1(E,1)) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => k4_matrix_3(A,I,K) != k3_matrix_1(A,k1_nat_1(E,1)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_matrix_0(L) & v2_matrix_0(L,u1_struct_0(A),E,E) & m2_finseq_1(L,k3_finseq_2(u1_struct_0(A))) ) => ! [M] : ( ( v1_matrix_0(M) & v2_matrix_0(M,u1_struct_0(A),E,E) & m2_finseq_1(M,k3_finseq_2(u1_struct_0(A))) ) => ~ ( k4_matrix_3(A,M,L) = k3_matrix_1(A,E) & ! [N] : ( ( v1_matrix_0(N) & v2_matrix_0(N,u1_struct_0(A),E,E) & m2_finseq_1(N,k3_finseq_2(u1_struct_0(A))) ) => k4_matrix_3(A,L,N) != k3_matrix_1(A,E) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_60_1__supinf_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,k5_numbers)),k12_supinf_2(k16_supinf_2(A),B)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,C)),k12_supinf_2(k16_supinf_2(A),B)) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,k1_nat_1(C,1))),k12_supinf_2(k16_supinf_2(A),B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k2_xcmplx_0(B,C)),k12_supinf_2(k16_supinf_2(A),B)) ) ) ) )).
fof(s2_nat_1__e5_60__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers) = k16_rvsum_1(k61_valued_1(k2_partfun1(k4_ordinal1,k1_numbers,A,k6_ordinal1(k1_nat_1(k5_numbers,1))),1)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(A),B) = k16_rvsum_1(k61_valued_1(k2_partfun1(k4_ordinal1,k1_numbers,A,k6_ordinal1(k1_nat_1(B,1))),1)) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k16_rvsum_1(k61_valued_1(k2_partfun1(k4_ordinal1,k1_numbers,A,k6_ordinal1(k1_nat_1(k1_nat_1(B,1),1))),1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k16_rvsum_1(k61_valued_1(k2_partfun1(k4_ordinal1,k1_numbers,A,k6_ordinal1(k1_nat_1(B,1))),1)) ) ) ) )).
fof(s2_nat_1__e5_60__sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( k2_comseq_3(A,k3_xcmplx_0(2,k5_numbers)) = k2_comseq_3(k2_comseq_3(A,k5_numbers),2) & k2_comseq_3(A,k3_xcmplx_0(2,k5_numbers)) = k2_comseq_3(k2_comseq_3(A,2),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ( k2_comseq_3(A,k3_xcmplx_0(2,B)) = k2_comseq_3(k2_comseq_3(A,B),2) & k2_comseq_3(A,k3_xcmplx_0(2,B)) = k2_comseq_3(k2_comseq_3(A,2),B) ) => ( k2_comseq_3(A,k3_xcmplx_0(2,k1_nat_1(B,1))) = k2_comseq_3(k2_comseq_3(A,k1_nat_1(B,1)),2) & k2_comseq_3(A,k3_xcmplx_0(2,k1_nat_1(B,1))) = k2_comseq_3(k2_comseq_3(A,2),k1_nat_1(B,1)) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k2_comseq_3(A,k3_xcmplx_0(2,B)) = k2_comseq_3(k2_comseq_3(A,B),2) & k2_comseq_3(A,k3_xcmplx_0(2,B)) = k2_comseq_3(k2_comseq_3(A,2),B) ) ) ) ) )).
fof(s2_nat_1__e5_61__rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k8_afinsq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(D) & l1_rewrite3(D,C) ) => ( ( ! [E] : ( m1_rewrite1(E,k1_rewrite3(A,C,D)) => ! [F] : ! [G] : ~ ( k1_funct_1(E,1) = k4_tarski(F,B) & k1_funct_1(E,k3_finseq_1(E)) = k4_tarski(G,B) & k3_finseq_1(E) = k5_numbers & k5_numbers != 1 ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_rewrite1(I,k1_rewrite3(A,C,D)) => ! [J] : ! [K] : ~ ( k1_funct_1(I,1) = k4_tarski(J,B) & k1_funct_1(I,k3_finseq_1(I)) = k4_tarski(K,B) & k3_finseq_1(I) = H & H != 1 ) ) => ! [L] : ( m1_rewrite1(L,k1_rewrite3(A,C,D)) => ! [M] : ! [N] : ~ ( k1_funct_1(L,1) = k4_tarski(M,B) & k1_funct_1(L,k3_finseq_1(L)) = k4_tarski(N,B) & k3_finseq_1(L) = k1_nat_1(H,1) & k1_nat_1(H,1) != 1 ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( m1_rewrite1(O,k1_rewrite3(A,C,D)) => ! [P] : ! [Q] : ~ ( k1_funct_1(O,1) = k4_tarski(P,B) & k1_funct_1(O,k3_finseq_1(O)) = k4_tarski(Q,B) & k3_finseq_1(O) = H & H != 1 ) ) ) ) ) )).
fof(s2_nat_1__e5_61__series_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)),k8_nat_1(k1_numbers,k1_series_3(B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),C)),k8_nat_1(k1_numbers,k1_series_3(B),C)) => r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k1_series_3(B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_xcmplx_0(1,k8_nat_1(k1_numbers,k3_series_1(A),C)),k8_nat_1(k1_numbers,k1_series_3(B),C)) ) ) ) )).
fof(s2_nat_1__e5_61__supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r2_tarski(k12_supinf_2(k16_supinf_2(A),k5_numbers),k1_numbers) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k12_supinf_2(k16_supinf_2(A),B),k1_numbers) => r2_tarski(k12_supinf_2(k16_supinf_2(A),k1_nat_1(B,1)),k1_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k12_supinf_2(k16_supinf_2(A),B),k1_numbers) ) ) ) )).
fof(s2_nat_1__e5_62__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & ~ v2_struct_0(D) & v8_struct_0(D) & l2_fsm_1(D,A,B) & ~ v2_struct_0(E) & v8_struct_0(E) & l2_fsm_1(E,A,B) & m1_subset_1(F,u1_struct_0(D)) & m1_subset_1(G,u1_struct_0(E)) ) => ( ( ( r2_tarski(k5_numbers,k2_finseq_1(k1_nat_1(k3_finseq_1(C),1))) => r2_tarski(k1_funct_1(k2_fsm_1(A,D,F,C),k5_numbers),k1_funct_1(k2_fsm_1(A,E,G,C),k5_numbers)) ) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k2_finseq_1(k1_nat_1(k3_finseq_1(C),1))) => r2_tarski(k1_funct_1(k2_fsm_1(A,D,F,C),H),k1_funct_1(k2_fsm_1(A,E,G,C),H)) ) => ( r2_tarski(k1_nat_1(H,1),k2_finseq_1(k1_nat_1(k3_finseq_1(C),1))) => r2_tarski(k1_funct_1(k2_fsm_1(A,D,F,C),k1_nat_1(H,1)),k1_funct_1(k2_fsm_1(A,E,G,C),k1_nat_1(H,1))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k1_nat_1(k3_finseq_1(C),1))) => r2_tarski(k1_funct_1(k2_fsm_1(A,D,F,C),H),k1_funct_1(k2_fsm_1(A,E,G,C),H)) ) ) ) ) )).
fof(s2_nat_1__e5_62__nat_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ( k11_nat_3(k1_newton(B,k5_numbers),A) = k3_xcmplx_0(k5_numbers,k11_nat_3(B,A)) & ! [C] : ( v7_ordinal1(C) => ( k11_nat_3(k1_newton(B,C),A) = k3_xcmplx_0(C,k11_nat_3(B,A)) => k11_nat_3(k1_newton(B,k1_nat_1(C,1)),A) = k3_xcmplx_0(k1_nat_1(C,1),k11_nat_3(B,A)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k11_nat_3(k1_newton(B,C),A) = k3_xcmplx_0(C,k11_nat_3(B,A)) ) ) ) )).
fof(s2_nat_1__e5_63_2__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & m1_rewrite1(B,A) & m1_rewrite1(C,A) & v7_ordinal1(D) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,E)) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => r5_rewrite1(A,k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(C,E)) ) ) ) ) )).
fof(s2_nat_1__e5_63__groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & v1_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,E)) = k5_numbers => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k11_polynom1(A,C,E,D),k8_polynom1(A,C)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,G)) = F => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k11_polynom1(A,C,G,D),k8_polynom1(A,C)) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(H,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,H)) = k1_nat_1(F,1) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k11_polynom1(A,C,H,D),k8_polynom1(A,C)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(I,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,I)) = F => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k11_polynom1(A,C,I,D),k8_polynom1(A,C)) ) ) ) ) ) )).
fof(s2_nat_1__e5_63__nat_4,axiom,( ( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( k5_numbers = k3_finseq_1(A) => ( k2_wsierp_1(A) = k5_numbers | k11_nat_3(k2_wsierp_1(A),B) = k1_wsierp_1(k1_nat_4(A,B)) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => ( C = k3_finseq_1(D) => ( k2_wsierp_1(D) = k5_numbers | k11_nat_3(k2_wsierp_1(D),E) = k1_wsierp_1(k1_nat_4(D,E)) ) ) ) ) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ! [G] : ( ( v7_ordinal1(G) & v1_int_2(G) ) => ( k1_nat_1(C,1) = k3_finseq_1(F) => ( k2_wsierp_1(F) = k5_numbers | k11_nat_3(k2_wsierp_1(F),G) = k1_wsierp_1(k1_nat_4(F,G)) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,k4_ordinal1) => ! [I] : ( ( v7_ordinal1(I) & v1_int_2(I) ) => ( C = k3_finseq_1(H) => ( k2_wsierp_1(H) = k5_numbers | k11_nat_3(k2_wsierp_1(H),I) = k1_wsierp_1(k1_nat_4(H,I)) ) ) ) ) ) )).
fof(s2_nat_1__e5_63__scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_scmfsa7b(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k5_numbers) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),D),k4_scmfsa_2(k5_numbers)) = k1_funct_1(k1_scmfsa_m(B),k4_scmfsa_2(k5_numbers)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),F),k4_scmfsa_2(k5_numbers)) = k1_funct_1(k1_scmfsa_m(B),k4_scmfsa_2(k5_numbers)) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k1_nat_1(E,1)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),G),k4_scmfsa_2(k5_numbers)) = k1_funct_1(k1_scmfsa_m(B),k4_scmfsa_2(k5_numbers)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)),H),k4_scmfsa_2(k5_numbers)) = k1_funct_1(k1_scmfsa_m(B),k4_scmfsa_2(k5_numbers)) ) ) ) ) ) )).
fof(s2_nat_1__e5_64__catalan2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,C))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e5_64__glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( ( ! [B] : ( m2_glib_000(B,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers))) => v1_glib_002(B) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_glib_000(D,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C))) => v1_glib_002(D) ) => ! [E] : ( m2_glib_000(E,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(C,1))),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(C,1)))) => v1_glib_002(E) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_glib_000(F,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C))) => v1_glib_002(F) ) ) ) ) )).
fof(s2_nat_1__e5_64__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ( r1_fuzzy_1(k4_lfuzzy_1(A,B,k5_numbers),k4_lfuzzy_1(A,C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_fuzzy_1(k4_lfuzzy_1(A,B,D),k4_lfuzzy_1(A,C,D)) => r1_fuzzy_1(k4_lfuzzy_1(A,B,k1_nat_1(D,1)),k4_lfuzzy_1(A,C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_fuzzy_1(k4_lfuzzy_1(A,B,D),k4_lfuzzy_1(A,C,D)) ) ) ) )).
fof(s2_nat_1__e5_64__o_ring_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( k5_numbers = k5_numbers | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k5_numbers),A) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) => ( k5_numbers = C | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => ( k5_numbers = k1_nat_1(C,1) | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,k1_nat_1(C,1)),A) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( k5_numbers = C | v13_o_ring_1(k7_partfun1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(s2_nat_1__e5_66__rinfsup1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(B,k1_numbers) ) => ( ( k1_funct_1(k4_rinfsup1(A),k5_numbers) = B & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(k4_rinfsup1(A),C) = B => k1_funct_1(k4_rinfsup1(A),k1_nat_1(C,1)) = B ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k4_rinfsup1(A),C) = B ) ) ) )).
fof(s2_nat_1__e5_66__zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m2_zmodul02(E,A,D) => ! [F] : ( m2_zmodul02(F,B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,E))) => ( ( r1_zmodul02(B,F,k7_zmodul05(A,B,E,C)) & k4_card_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,E))) = k5_numbers ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,E)) = k21_zmodul02(B,F) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ! [I] : ( m2_zmodul02(I,A,H) => ! [J] : ( m2_zmodul02(J,B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,I))) => ( ( r1_zmodul02(B,J,k7_zmodul05(A,B,I,C)) & k4_card_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,I))) = G ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,I)) = k21_zmodul02(B,J) ) ) ) ) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ! [L] : ( m2_zmodul02(L,A,K) => ! [M] : ( m2_zmodul02(M,B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,L))) => ( ( r1_zmodul02(B,M,k7_zmodul05(A,B,L,C)) & k4_card_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,L))) = k1_nat_1(G,1) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,L)) = k21_zmodul02(B,M) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m1_subset_1(N,k1_zfmisc_1(u1_struct_0(A))) => ! [O] : ( m2_zmodul02(O,A,N) => ! [P] : ( m2_zmodul02(P,B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,O))) => ( ( r1_zmodul02(B,P,k7_zmodul05(A,B,O,C)) & k4_card_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k18_zmodul02(A,O))) = G ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,O)) = k21_zmodul02(B,P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_67__monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( ( k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(k5_numbers,k4_ordinal1),B)),B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ( k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(C,k4_ordinal1),B)),B) = C => k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(k1_nat_1(C,1),k4_ordinal1),B)),B) = k1_nat_1(C,1) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_recdef_1(k18_monoid_1(A,k4_monoid_1(A,k10_subset_1(C,k4_ordinal1),B)),B) = C ) ) ) )).
fof(s2_nat_1__e5_67__stirl2_1,axiom,( ( k3_stirl2_1(k1_nat_1(k5_numbers,2),k5_numbers) = k1_nat_1(k2_nat_1(3,k4_newton(4,k1_nat_1(k5_numbers,2))),k4_newton(3,k1_nat_1(k5_numbers,2))) & ! [A] : ( v7_ordinal1(A) => ( k3_stirl2_1(k1_nat_1(A,2),A) = k1_nat_1(k2_nat_1(3,k4_newton(4,k1_nat_1(A,2))),k4_newton(3,k1_nat_1(A,2))) => k3_stirl2_1(k1_nat_1(k1_nat_1(A,1),2),k1_nat_1(A,1)) = k1_nat_1(k2_nat_1(3,k4_newton(4,k1_nat_1(k1_nat_1(A,1),2))),k4_newton(3,k1_nat_1(k1_nat_1(A,1),2))) ) ) ) => ! [A] : ( v7_ordinal1(A) => k3_stirl2_1(k1_nat_1(A,2),A) = k1_nat_1(k2_nat_1(3,k4_newton(4,k1_nat_1(A,2))),k4_newton(3,k1_nat_1(A,2))) ) )).
fof(s2_nat_1__e5_68__rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & ~ v2_struct_0(C) & l1_rewrite3(C,B) & m1_rewrite1(D,k1_rewrite3(A,B,C)) & m1_rewrite1(E,k1_rewrite3(A,B,C)) ) => ( ( ( ( r2_tarski(k5_numbers,k4_finseq_1(D)) & r2_tarski(k5_numbers,k4_finseq_1(E)) ) => k1_funct_1(D,k5_numbers) = k1_funct_1(E,k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r2_tarski(F,k4_finseq_1(D)) & r2_tarski(F,k4_finseq_1(E)) ) => k1_funct_1(D,F) = k1_funct_1(E,F) ) => ( ( r2_tarski(k1_nat_1(F,1),k4_finseq_1(D)) & r2_tarski(k1_nat_1(F,1),k4_finseq_1(E)) ) => k1_funct_1(D,k1_nat_1(F,1)) = k1_funct_1(E,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(D)) & r2_tarski(F,k4_finseq_1(E)) ) => k1_funct_1(D,F) = k1_funct_1(E,F) ) ) ) ) )).
fof(s2_nat_1__e5_69__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k3_xcmplx_0(2,k3_square_1(k1_nat_1(k5_numbers,1))),k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k3_xcmplx_0(2,k3_square_1(k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(A),B)) => ~ r1_xxreal_0(k3_xcmplx_0(2,k3_square_1(k1_nat_1(k1_nat_1(B,1),1))),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k3_xcmplx_0(2,k3_square_1(k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e5_6_1_2_1_2__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( k8_nat_1(A,B,k5_numbers) = k8_nat_1(A,C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(A,B,D) = k8_nat_1(A,C,D) => k8_nat_1(A,B,k1_nat_1(D,1)) = k8_nat_1(A,C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(A,B,D) = k8_nat_1(A,C,D) ) ) ) )).
fof(s2_nat_1__e5_6__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( D = k5_numbers & r1_xxreal_0(D,C) ) => k1_bcialg_2(A,B,k4_struct_0(A),k1_nat_1(D,1)) = B ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ( F = E & r1_xxreal_0(F,C) ) => k1_bcialg_2(A,B,k4_struct_0(A),k1_nat_1(F,1)) = B ) ) => ! [G] : ( v7_ordinal1(G) => ( ( G = k1_nat_1(E,1) & r1_xxreal_0(G,C) ) => k1_bcialg_2(A,B,k4_struct_0(A),k1_nat_1(G,1)) = B ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => ( ( H = E & r1_xxreal_0(H,C) ) => k1_bcialg_2(A,B,k4_struct_0(A),k1_nat_1(H,1)) = B ) ) ) ) ) )).
fof(s2_nat_1__e5_6__matrixj1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k3_group_4(A,k5_finseq_2(u1_struct_0(A),k5_numbers,B)) = k1_laplace(A,k4_group_1(A),B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k3_group_4(A,k5_finseq_2(u1_struct_0(A),C,B)) = k1_laplace(A,k4_group_1(A),B,C) => k3_group_4(A,k5_finseq_2(u1_struct_0(A),k1_nat_1(C,1),B)) = k1_laplace(A,k4_group_1(A),B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_group_4(A,k5_finseq_2(u1_struct_0(A),C,B)) = k1_laplace(A,k4_group_1(A),B,C) ) ) ) )).
fof(s2_nat_1__e5_6__prgcor_2,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => k18_rvsum_1(k17_finseq_1(k1_numbers,k5_numbers,A)) = k1_funct_1(B,k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(A)) => k18_rvsum_1(k17_finseq_1(k1_numbers,C,A)) = k1_funct_1(B,C) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) => k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(C,1),A)) = k1_funct_1(B,k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(A)) => k18_rvsum_1(k17_finseq_1(k1_numbers,C,A)) = k1_funct_1(B,C) ) ) ) ) )).
fof(s2_nat_1__e5_6__uniroots,axiom,( ( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(A) = k5_numbers & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k4_finseq_1(A)) => v1_int_1(k1_funct_1(A,B)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,A)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_finseq_1(D,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(D) = C & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(D)) => v1_int_1(k1_funct_1(D,E)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,D)) ) ) => ! [F] : ( m2_finseq_1(F,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(F) = k1_nat_1(C,1) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(F)) => v1_int_1(k1_funct_1(F,G)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,F)) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(H) = C & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( r2_tarski(I,k4_finseq_1(H)) => v1_int_1(k1_funct_1(H,I)) ) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,H)) ) ) ) )).
fof(s2_nat_1__e5_70__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k6_xcmplx_0(2,k7_xcmplx_0(1,k1_nat_1(k5_numbers,1)))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k6_xcmplx_0(2,k7_xcmplx_0(1,k1_nat_1(B,1)))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k6_xcmplx_0(2,k7_xcmplx_0(1,k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k6_xcmplx_0(2,k7_xcmplx_0(1,k1_nat_1(B,1)))) ) ) ) )).
fof(s2_nat_1__e5_71__simplex1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ( ! [C] : ( ( v1_finset_1(C) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( k4_card_1(C) = k5_numbers => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C)))),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C)))),C))) ) => ~ ( ! [E] : ( m1_subset_1(E,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_tarski(F,C) & r2_tarski(E,k3_convex1(B,F)) ) => r2_tarski(k1_funct_1(D,E),F) ) ) ) & ! [E] : ( v7_ordinal1(E) => k1_card_1(a_4_3_simplex1(A,B,C,D)) != k2_xcmplx_0(k3_xcmplx_0(2,E),1) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_finset_1(H) & v1_rlaffin1(H,B) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) ) => ( k4_card_1(H) = G => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),H)))),H) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),H)))),H))) ) => ~ ( ! [J] : ( m1_subset_1(J,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),H))))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_tarski(K,H) & r2_tarski(J,k3_convex1(B,K)) ) => r2_tarski(k1_funct_1(I,J),K) ) ) ) & ! [J] : ( v7_ordinal1(J) => k1_card_1(a_4_3_simplex1(A,B,H,I)) != k2_xcmplx_0(k3_xcmplx_0(2,J),1) ) ) ) ) ) => ! [L] : ( ( v1_finset_1(L) & v1_rlaffin1(L,B) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(B))) ) => ( k4_card_1(L) = k1_nat_1(G,1) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),L)))),L) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),L)))),L))) ) => ~ ( ! [N] : ( m1_subset_1(N,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),L))))) => ! [O] : ( m1_subset_1(O,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_tarski(O,L) & r2_tarski(N,k3_convex1(B,O)) ) => r2_tarski(k1_funct_1(M,N),O) ) ) ) & ! [N] : ( v7_ordinal1(N) => k1_card_1(a_4_3_simplex1(A,B,L,M)) != k2_xcmplx_0(k3_xcmplx_0(2,N),1) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( ( v1_finset_1(P) & v1_rlaffin1(P,B) & m1_subset_1(P,k1_zfmisc_1(u1_struct_0(B))) ) => ( k4_card_1(P) = G => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),P)))),P) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),P)))),P))) ) => ~ ( ! [R] : ( m1_subset_1(R,k4_simplex0(k5_simplex1(A,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),P))))) => ! [S] : ( m1_subset_1(S,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_tarski(S,P) & r2_tarski(R,k3_convex1(B,S)) ) => r2_tarski(k1_funct_1(Q,R),S) ) ) ) & ! [R] : ( v7_ordinal1(R) => k1_card_1(a_4_3_simplex1(A,B,P,Q)) != k2_xcmplx_0(k3_xcmplx_0(2,R),1) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_72_1__card_2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ( r2_tarski(k10_ordinal2(B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k10_ordinal2(B,C),A) => r2_tarski(k10_ordinal2(B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(k10_ordinal2(B,C),A) ) ) ) )).
fof(s2_nat_1__e5_72__flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) & m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) ) => ( ( r1_tarski(k7_flang_1(A,k4_subset_1(k3_catalan2(A),C,B),k5_numbers),k8_flang_1(A,C)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k7_flang_1(A,k4_subset_1(k3_catalan2(A),C,B),D),k8_flang_1(A,C)) => r1_tarski(k7_flang_1(A,k4_subset_1(k3_catalan2(A),C,B),k1_nat_1(D,1)),k8_flang_1(A,C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k7_flang_1(A,k4_subset_1(k3_catalan2(A),C,B),D),k8_flang_1(A,C)) ) ) ) )).
fof(s2_nat_1__e5_72__gaussint,axiom,( ! [A] : ( m1_ec_pf_1(A,k11_gaussint) => ( ( r2_tarski(k5_numbers,u1_struct_0(A)) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,u1_struct_0(A)) => r2_tarski(k1_nat_1(B,1),u1_struct_0(A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(B,u1_struct_0(A)) ) ) ) )).
fof(s2_nat_1__e5_72__moebius2,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_tarski(k22_pre_poly(k8_newton,k3_moebius2(A)),k2_finseq_1(k5_numbers)) => r1_nat_d(k8_nat_3(k8_newton,k3_moebius2(A)),A) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_tarski(k22_pre_poly(k8_newton,k3_moebius2(C)),k2_finseq_1(B)) => r1_nat_d(k8_nat_3(k8_newton,k3_moebius2(C)),C) ) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( r1_tarski(k22_pre_poly(k8_newton,k3_moebius2(D)),k2_finseq_1(k1_nat_1(B,1))) => r1_nat_d(k8_nat_3(k8_newton,k3_moebius2(D)),D) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( r1_tarski(k22_pre_poly(k8_newton,k3_moebius2(E)),k2_finseq_1(B)) => r1_nat_d(k8_nat_3(k8_newton,k3_moebius2(E)),E) ) ) ) )).
fof(s2_nat_1__e5_72__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k1_nat_1(k5_numbers,1),k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k1_nat_1(B,1),k8_nat_1(k1_numbers,k3_series_1(A),B)) => ~ r1_xxreal_0(k1_nat_1(k1_nat_1(B,1),1),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k1_nat_1(B,1),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e5_73_2__prob_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( r2_tarski(k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,C),k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,C),D),B) => r2_tarski(k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,C),k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_tarski(k1_prob_2(A,k9_setfam_1(A),k1_prob_3(A,C),D),B) ) ) ) )).
fof(s2_nat_1__e5_73__graph_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ( ! [C] : ( m2_finseq_1(C,u4_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u4_struct_0(B)) => ( ( v2_funct_1(D) & r1_tarski(k10_xtuple_0(D),k10_xtuple_0(C)) & k3_finseq_1(D) = k5_numbers ) => r1_xxreal_0(k10_graph_5(B,D,A),k10_graph_5(B,C,A)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u4_struct_0(B)) => ! [G] : ( m2_finseq_1(G,u4_struct_0(B)) => ( ( v2_funct_1(G) & r1_tarski(k10_xtuple_0(G),k10_xtuple_0(F)) & k3_finseq_1(G) = E ) => r1_xxreal_0(k10_graph_5(B,G,A),k10_graph_5(B,F,A)) ) ) ) => ! [H] : ( m2_finseq_1(H,u4_struct_0(B)) => ! [I] : ( m2_finseq_1(I,u4_struct_0(B)) => ( ( v2_funct_1(I) & r1_tarski(k10_xtuple_0(I),k10_xtuple_0(H)) & k3_finseq_1(I) = k1_nat_1(E,1) ) => r1_xxreal_0(k10_graph_5(B,I,A),k10_graph_5(B,H,A)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,u4_struct_0(B)) => ! [K] : ( m2_finseq_1(K,u4_struct_0(B)) => ( ( v2_funct_1(K) & r1_tarski(k10_xtuple_0(K),k10_xtuple_0(J)) & k3_finseq_1(K) = E ) => r1_xxreal_0(k10_graph_5(B,K,A),k10_graph_5(B,J,A)) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_73__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k5_numbers),k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),B),B),k8_nat_1(k1_numbers,k1_series_3(A),B)) => r1_xxreal_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),B),B),k8_nat_1(k1_numbers,k1_series_3(A),B)) ) ) ) )).
fof(s2_nat_1__e5_75__moebius1,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(A)),k2_finseq_1(k5_numbers)) => r1_nat_d(k6_moebius1(A),A) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(C)),k2_finseq_1(B)) => r1_nat_d(k6_moebius1(C),C) ) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(D)),k2_finseq_1(k1_nat_1(B,1))) => r1_nat_d(k6_moebius1(D),D) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(E)),k2_finseq_1(B)) => r1_nat_d(k6_moebius1(E),E) ) ) ) )).
fof(s2_nat_1__e5_76__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k5_numbers))))) & ! [B] : ( v7_ordinal1(B) => ( k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B))))) => k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k1_nat_1(B,1)))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k15_glib_000(A) = k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B))))) ) ) ) )).
fof(s2_nat_1__e5_79__moebius1,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(A)),k2_finseq_1(k5_numbers)) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => r1_xxreal_0(k11_nat_3(k6_moebius1(A),B),1) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(D)),k2_finseq_1(C)) => ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => r1_xxreal_0(k11_nat_3(k6_moebius1(D),E),1) ) ) ) => ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(F)),k2_finseq_1(k1_nat_1(C,1))) => ! [G] : ( ( v7_ordinal1(G) & v1_int_2(G) ) => r1_xxreal_0(k11_nat_3(k6_moebius1(F),G),1) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v7_ordinal1(H) & ~ v8_ordinal1(H) ) => ( r1_tarski(k22_pre_poly(k8_newton,k5_moebius1(H)),k2_finseq_1(C)) => ! [I] : ( ( v7_ordinal1(I) & v1_int_2(I) ) => r1_xxreal_0(k11_nat_3(k6_moebius1(H),I),1) ) ) ) ) )).
fof(s2_nat_1__e5_79__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k5_real_1(k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k5_numbers,1)),k8_nat_1(k1_numbers,k6_real_3(A),k5_numbers)),k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k5_numbers),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k5_numbers,1)))) = k1_newton(k4_xcmplx_0(1),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k5_real_1(k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),B)),k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),B),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)))) = k1_newton(k4_xcmplx_0(1),B) => k5_real_1(k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k1_nat_1(B,1),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))),k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k1_nat_1(B,1),1)))) = k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k5_real_1(k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),B)),k4_real_1(k8_nat_1(k1_numbers,k5_real_3(A),B),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)))) = k1_newton(k4_xcmplx_0(1),B) ) ) ) )).
fof(s2_nat_1__e5_7_1_2_1_2__binom,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( k8_nat_1(A,B,k5_numbers) = k8_nat_1(A,C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(A,B,D) = k8_nat_1(A,C,D) => k8_nat_1(A,B,k1_nat_1(D,1)) = k8_nat_1(A,C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(A,B,D) = k8_nat_1(A,C,D) ) ) ) )).
fof(s2_nat_1__e5_7_1__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k1_nat_1(B,1)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r1_xxreal_0(k1_algseq_1(A,E),k1_nat_1(k1_nat_1(B,1),1)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k2_polynom4(A,E,F) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k5_numbers,k8_laplace(k1_nat_1(B,1),k1_nat_1(B,1),A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,D,F))))) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r1_xxreal_0(G,k1_nat_1(B,1)) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r1_xxreal_0(k1_algseq_1(A,H),k1_nat_1(k1_nat_1(B,1),1)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k2_polynom4(A,H,I) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),G,k8_laplace(k1_nat_1(B,1),k1_nat_1(B,1),A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,D,I))))) ) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(G,1),k1_nat_1(B,1)) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(J,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r1_xxreal_0(k1_algseq_1(A,J),k1_nat_1(k1_nat_1(B,1),1)) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => k2_polynom4(A,J,K) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k1_nat_1(G,1),k8_laplace(k1_nat_1(B,1),k1_nat_1(B,1),A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,D,K))))) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(G,k1_nat_1(B,1)) & ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(L,A) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r1_xxreal_0(k1_algseq_1(A,L),k1_nat_1(k1_nat_1(B,1),1)) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => k2_polynom4(A,L,M) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),G,k8_laplace(k1_nat_1(B,1),k1_nat_1(B,1),A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,D,M))))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_7_2__ntalgo_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ( r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k5_numbers),k6_xcmplx_0(k8_nat_1(k4_ordinal1,A,k5_numbers),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k8_nat_1(k4_ordinal1,A,B),k6_xcmplx_0(k8_nat_1(k4_ordinal1,A,k5_numbers),B)) => r1_xxreal_0(k8_nat_1(k4_ordinal1,A,k1_nat_1(B,1)),k6_xcmplx_0(k8_nat_1(k4_ordinal1,A,k5_numbers),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k4_ordinal1,A,B),k6_xcmplx_0(k8_nat_1(k4_ordinal1,A,k5_numbers),B)) ) ) ) )).
fof(s2_nat_1__e5_7__group_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_group_2(C,A) ) => ( ( r1_struct_0(C,k5_group_1(A,B,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_struct_0(C,k5_group_1(A,B,D)) => r1_struct_0(C,k5_group_1(A,B,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_struct_0(C,k5_group_1(A,B,D)) ) ) ) )).
fof(s2_nat_1__e5_7__measure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,k5_numbers) => r1_tarski(k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,D)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(F,E) => r1_tarski(k8_nat_1(B,C,E),k8_nat_1(B,C,F)) ) ) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(G,k1_nat_1(E,1)) => r1_tarski(k8_nat_1(B,C,k1_nat_1(E,1)),k8_nat_1(B,C,G)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => ( ~ r1_xxreal_0(H,E) => r1_tarski(k8_nat_1(B,C,E),k8_nat_1(B,C,H)) ) ) ) ) ) )).
fof(s2_nat_1__e5_7__ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k5_numbers = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => k1_funct_1(C,D) = k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,B)),k18_rvsum_1(C)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ! [G] : ( m2_finseq_1(G,k1_numbers) => ( ( E = k3_finseq_1(F) & k3_finseq_1(F) = k3_finseq_1(G) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k4_finseq_1(F)) => k1_funct_1(G,H) = k2_normsp_0(A,k7_partfun1(u1_struct_0(A),F,H)) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,F)),k18_rvsum_1(G)) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,k1_numbers) => ( ( k1_nat_1(E,1) = k3_finseq_1(I) & k3_finseq_1(I) = k3_finseq_1(J) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r2_tarski(K,k4_finseq_1(I)) => k1_funct_1(J,K) = k2_normsp_0(A,k7_partfun1(u1_struct_0(A),I,K)) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,I)),k18_rvsum_1(J)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,k1_numbers) => ( ( E = k3_finseq_1(L) & k3_finseq_1(L) = k3_finseq_1(M) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( r2_tarski(N,k4_finseq_1(L)) => k1_funct_1(M,N) = k2_normsp_0(A,k7_partfun1(u1_struct_0(A),L,N)) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,L)),k18_rvsum_1(M)) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_7__polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k5_numbers) ) => k7_partfun1(u1_struct_0(A),B,C) = k5_struct_0(A) ) ) ) => k4_rlvect_1(A,B) = k5_binom(A,k5_struct_0(A),k5_numbers) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( ( k3_finseq_1(E) = D & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,D) ) => k7_partfun1(u1_struct_0(A),E,F) = k5_struct_0(A) ) ) ) => k4_rlvect_1(A,E) = k5_binom(A,k5_struct_0(A),D) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( ( k3_finseq_1(G) = k1_nat_1(D,1) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k1_nat_1(D,1)) ) => k7_partfun1(u1_struct_0(A),G,H) = k5_struct_0(A) ) ) ) => k4_rlvect_1(A,G) = k5_binom(A,k5_struct_0(A),k1_nat_1(D,1)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( ( k3_finseq_1(I) = D & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(J,D) ) => k7_partfun1(u1_struct_0(A),I,J) = k5_struct_0(A) ) ) ) => k4_rlvect_1(A,I) = k5_binom(A,k5_struct_0(A),D) ) ) ) ) ) )).
fof(s2_nat_1__e5_7__prepower,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( k1_newton(A,k5_numbers) != k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k1_newton(A,B) != k5_numbers => k1_newton(A,k1_nat_1(B,1)) != k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_newton(A,B) != k5_numbers ) ) ) )).
fof(s2_nat_1__e5_7__vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ~ ( r1_tarski(k10_xtuple_0(E),u1_struct_0(k1_vectsp_7(A,B,D))) & k3_finseq_1(E) = k5_numbers & ! [F] : ( m2_vectsp_6(F,A,B,D) => k4_rlvect_1(B,k3_vectsp_6(A,B,E,C)) != k4_vectsp_6(A,B,F) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(B)) => ~ ( r1_tarski(k10_xtuple_0(H),u1_struct_0(k1_vectsp_7(A,B,D))) & k3_finseq_1(H) = G & ! [I] : ( m2_vectsp_6(I,A,B,D) => k4_rlvect_1(B,k3_vectsp_6(A,B,H,C)) != k4_vectsp_6(A,B,I) ) ) ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(B)) => ~ ( r1_tarski(k10_xtuple_0(J),u1_struct_0(k1_vectsp_7(A,B,D))) & k3_finseq_1(J) = k1_nat_1(G,1) & ! [K] : ( m2_vectsp_6(K,A,B,D) => k4_rlvect_1(B,k3_vectsp_6(A,B,J,C)) != k4_vectsp_6(A,B,K) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( m2_finseq_1(L,u1_struct_0(B)) => ~ ( r1_tarski(k10_xtuple_0(L),u1_struct_0(k1_vectsp_7(A,B,D))) & k3_finseq_1(L) = G & ! [M] : ( m2_vectsp_6(M,A,B,D) => k4_rlvect_1(B,k3_vectsp_6(A,B,L,C)) != k4_vectsp_6(A,B,M) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_80__hahnban1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k1_binop_1(k4_group_1(k1_complfld),k1_hahnban1(A,k5_numbers),k5_numbers) = k1_hahnban1(k2_power(A,k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_binop_1(k4_group_1(k1_complfld),k1_hahnban1(A,k5_numbers),B) = k1_hahnban1(k2_power(A,B),k5_numbers) => k1_binop_1(k4_group_1(k1_complfld),k1_hahnban1(A,k5_numbers),k1_nat_1(B,1)) = k1_hahnban1(k2_power(A,k1_nat_1(B,1)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_binop_1(k4_group_1(k1_complfld),k1_hahnban1(A,k5_numbers),B) = k1_hahnban1(k2_power(A,B),k5_numbers) ) ) ) )).
fof(s2_nat_1__e5_81__rvsum_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ( ( k18_rvsum_1(k5_finseq_2(k1_numbers,k5_numbers,A)) = k3_xcmplx_0(k5_numbers,A) & ! [B] : ( v7_ordinal1(B) => ( k18_rvsum_1(k5_finseq_2(k1_numbers,B,A)) = k3_xcmplx_0(B,A) => k18_rvsum_1(k5_finseq_2(k1_numbers,k1_nat_1(B,1),A)) = k3_xcmplx_0(k1_nat_1(B,1),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k18_rvsum_1(k5_finseq_2(k1_numbers,B,A)) = k3_xcmplx_0(B,A) ) ) ) )).
fof(s2_nat_1__e5_83_1__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k12_fsm_1(A,B,C),A),k12_fsm_1(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_fsm_1(A,B,C),A),k12_fsm_1(A,B,C)))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k12_fsm_1(A,B,C),A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_fsm_1(A,B,C),A),B))) & m1_subset_1(F,k12_fsm_1(A,B,C)) & m2_finseq_1(G,A) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),k5_numbers) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F)),G),k5_numbers) ) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),H) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F)),G),H) ) => ( r2_tarski(k1_nat_1(H,1),k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),k1_nat_1(H,1)) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F)),G),k1_nat_1(H,1)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),H) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),D,E,F)),G),H) ) ) ) ) )).
fof(s2_nat_1__e5_84_1_1__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k12_fsm_1(A,B,C),A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_fsm_1(A,B,C),A),B))) & m1_subset_1(E,k12_fsm_1(A,B,C)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k12_fsm_1(A,B,C),A),k12_fsm_1(A,B,C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k12_fsm_1(A,B,C),A),k12_fsm_1(A,B,C)))) & m2_finseq_1(G,A) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),k5_numbers) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E)),G),k5_numbers) ) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),H) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E)),G),H) ) => ( r2_tarski(k1_nat_1(H,1),k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),k1_nat_1(H,1)) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E)),G),k1_nat_1(H,1)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G))) => k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),G),H) = k1_funct_1(k2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E),u2_fsm_1(A,g2_fsm_1(A,B,k12_fsm_1(A,B,C),F,D,E)),G),H) ) ) ) ) )).
fof(s2_nat_1__e5_84_2_2_3__graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_graph_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_graph_3(A)))) ) => ( ( ? [C] : ( m2_finseq_2(C,u4_struct_0(A),k9_graph_3(A)) & ~ v1_xboole_0(C) & C = k8_finseq_2(u4_struct_0(A),k9_graph_3(A),B,k5_numbers) & r1_xxreal_0(k5_numbers,k4_card_1(k10_xtuple_0(C))) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( m2_finseq_2(E,u4_struct_0(A),k9_graph_3(A)) & ~ v1_xboole_0(E) & E = k8_finseq_2(u4_struct_0(A),k9_graph_3(A),B,D) & r1_xxreal_0(D,k4_card_1(k10_xtuple_0(E))) ) => ? [F] : ( m2_finseq_2(F,u4_struct_0(A),k9_graph_3(A)) & ~ v1_xboole_0(F) & F = k8_finseq_2(u4_struct_0(A),k9_graph_3(A),B,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k4_card_1(k10_xtuple_0(F))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [G] : ( m2_finseq_2(G,u4_struct_0(A),k9_graph_3(A)) & ~ v1_xboole_0(G) & G = k8_finseq_2(u4_struct_0(A),k9_graph_3(A),B,D) & r1_xxreal_0(D,k4_card_1(k10_xtuple_0(G))) ) ) ) ) )).
fof(s2_nat_1__e5_86__moebius2,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_tarski(k22_pre_poly(k8_newton,k8_moebius2(A)),k2_finseq_1(k5_numbers)) => r1_nat_d(k8_nat_3(k8_newton,k8_moebius2(A)),A) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_tarski(k22_pre_poly(k8_newton,k8_moebius2(C)),k2_finseq_1(B)) => r1_nat_d(k8_nat_3(k8_newton,k8_moebius2(C)),C) ) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( r1_tarski(k22_pre_poly(k8_newton,k8_moebius2(D)),k2_finseq_1(k1_nat_1(B,1))) => r1_nat_d(k8_nat_3(k8_newton,k8_moebius2(D)),D) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ( r1_tarski(k22_pre_poly(k8_newton,k8_moebius2(E)),k2_finseq_1(B)) => r1_nat_d(k8_nat_3(k8_newton,k8_moebius2(E)),E) ) ) ) )).
fof(s2_nat_1__e5_86__mycielsk,axiom,( ( k1_dilworth(k7_mycielsk(k5_numbers)) = 2 & k2_mycielsk(k7_mycielsk(k5_numbers)) = k2_xcmplx_0(k5_numbers,2) & ! [A] : ( v7_ordinal1(A) => ( ( k1_dilworth(k7_mycielsk(A)) = 2 & k2_mycielsk(k7_mycielsk(A)) = k2_xcmplx_0(A,2) ) => ( k1_dilworth(k7_mycielsk(k1_nat_1(A,1))) = 2 & k2_mycielsk(k7_mycielsk(k1_nat_1(A,1))) = k2_xcmplx_0(k1_nat_1(A,1),2) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( k1_dilworth(k7_mycielsk(A)) = 2 & k2_mycielsk(k7_mycielsk(A)) = k2_xcmplx_0(A,2) ) ) )).
fof(s2_nat_1__e5_88_1_2__ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( ~ v4_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,B)),k2_hurwitz(A,k5_ratfunc1(A,B))) = k5_numbers => r1_xxreal_0(k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,k11_ratfunc1(A,B))),k2_hurwitz(A,k5_ratfunc1(A,k11_ratfunc1(A,B)))),k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,B)),k2_hurwitz(A,k5_ratfunc1(A,B)))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( ~ v4_ratfunc1(D,A) & m1_ratfunc1(D,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,D)),k2_hurwitz(A,k5_ratfunc1(A,D))) = C => r1_xxreal_0(k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,k11_ratfunc1(A,D))),k2_hurwitz(A,k5_ratfunc1(A,k11_ratfunc1(A,D)))),k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,D)),k2_hurwitz(A,k5_ratfunc1(A,D)))) ) ) => ! [E] : ( ( ~ v4_ratfunc1(E,A) & m1_ratfunc1(E,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,E)),k2_hurwitz(A,k5_ratfunc1(A,E))) = k1_nat_1(C,1) => r1_xxreal_0(k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,k11_ratfunc1(A,E))),k2_hurwitz(A,k5_ratfunc1(A,k11_ratfunc1(A,E)))),k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,E)),k2_hurwitz(A,k5_ratfunc1(A,E)))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( ( ~ v4_ratfunc1(F,A) & m1_ratfunc1(F,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,F)),k2_hurwitz(A,k5_ratfunc1(A,F))) = C => r1_xxreal_0(k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,k11_ratfunc1(A,F))),k2_hurwitz(A,k5_ratfunc1(A,k11_ratfunc1(A,F)))),k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,F)),k2_hurwitz(A,k5_ratfunc1(A,F)))) ) ) ) ) ) )).
fof(s2_nat_1__e5_88__lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( ( r1_xxreal_0(k5_numbers,k15_glib_000(A)) => r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k5_numbers)),B),k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k15_glib_000(A)),k2_finseq_1(k7_nat_d(k15_glib_000(A),k5_numbers)))) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k15_glib_000(A)) => r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),C)),B),k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k15_glib_000(A)),k2_finseq_1(k7_nat_d(k15_glib_000(A),C)))) ) => ( r1_xxreal_0(k1_nat_1(C,1),k15_glib_000(A)) => r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k1_nat_1(C,1))),B),k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k15_glib_000(A)),k2_finseq_1(k7_nat_d(k15_glib_000(A),k1_nat_1(C,1))))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k15_glib_000(A)) => r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),C)),B),k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k15_glib_000(A)),k2_finseq_1(k7_nat_d(k15_glib_000(A),C)))) ) ) ) ) )).
fof(s2_nat_1__e5_89__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) & m1_subset_1(E,u1_struct_0(D)) & ~ v2_struct_0(F) & v8_struct_0(F) & l2_fsm_1(F,A,B) & m1_subset_1(G,u1_struct_0(F)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),k5_numbers) = k1_funct_1(k2_fsm_1(A,F,G,C),k5_numbers) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),H) = k1_funct_1(k2_fsm_1(A,F,G,C),H) ) => ( ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),k1_nat_1(H,1)) = k1_funct_1(k2_fsm_1(A,F,G,C),k1_nat_1(H,1)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),H) = k1_funct_1(k2_fsm_1(A,F,G,C),H) ) ) ) ) )).
fof(s2_nat_1__e5_89__group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,A) & v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ( ( ! [E] : ( m2_finseq_1(E,A) => ( k3_finseq_1(E) = k5_numbers => r2_funct_2(B,B,k2_group_9(A,B,D,k8_finseq_1(A,k12_finseq_1(A,C),E)),k1_partfun1(B,B,B,B,k2_group_9(A,B,D,E),k2_group_9(A,B,D,k12_finseq_1(A,C)))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,A) => ( k3_finseq_1(G) = F => r2_funct_2(B,B,k2_group_9(A,B,D,k8_finseq_1(A,k12_finseq_1(A,C),G)),k1_partfun1(B,B,B,B,k2_group_9(A,B,D,G),k2_group_9(A,B,D,k12_finseq_1(A,C)))) ) ) => ! [H] : ( m2_finseq_1(H,A) => ( k3_finseq_1(H) = k1_nat_1(F,1) => r2_funct_2(B,B,k2_group_9(A,B,D,k8_finseq_1(A,k12_finseq_1(A,C),H)),k1_partfun1(B,B,B,B,k2_group_9(A,B,D,H),k2_group_9(A,B,D,k12_finseq_1(A,C)))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m2_finseq_1(I,A) => ( k3_finseq_1(I) = F => r2_funct_2(B,B,k2_group_9(A,B,D,k8_finseq_1(A,k12_finseq_1(A,C),I)),k1_partfun1(B,B,B,B,k2_group_9(A,B,D,I),k2_group_9(A,B,D,k12_finseq_1(A,C)))) ) ) ) ) ) )).
fof(s2_nat_1__e5_89__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v7_ordinal1(C) ) => ( ( r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),C)),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(C,k5_numbers))),B)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),C)),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(C,D))),B)) => r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),C)),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(C,k1_nat_1(D,1)))),B)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),C)),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(C,D))),B)) ) ) ) )).
fof(s2_nat_1__e5_89__pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & ~ v1_xboole_0(C) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(k5_numbers,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k5_numbers)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k5_numbers),k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),k5_numbers),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),k5_numbers))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F),k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),F))) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(k1_nat_1(F,1),1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k1_nat_1(F,1))) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),k1_nat_1(F,1)),k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),k1_nat_1(F,1)))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(C),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,C,k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E)),F),k47_valued_1(k1_euclid(A),k1_numbers,k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,D),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,C,E),F))) ) ) ) ) ) )).
fof(s2_nat_1__e5_8__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( F = k5_numbers & r1_xxreal_0(F,E) ) => k1_bcialg_1(A,k1_bcialg_2(A,B,C,F),D) = k1_bcialg_2(A,k1_bcialg_1(A,B,D),C,F) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ( ( H = G & r1_xxreal_0(H,E) ) => k1_bcialg_1(A,k1_bcialg_2(A,B,C,H),D) = k1_bcialg_2(A,k1_bcialg_1(A,B,D),C,H) ) ) => ! [I] : ( v7_ordinal1(I) => ( ( I = k1_nat_1(G,1) & r1_xxreal_0(I,E) ) => k1_bcialg_1(A,k1_bcialg_2(A,B,C,I),D) = k1_bcialg_2(A,k1_bcialg_1(A,B,D),C,I) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( v7_ordinal1(J) => ( ( J = G & r1_xxreal_0(J,E) ) => k1_bcialg_1(A,k1_bcialg_2(A,B,C,J),D) = k1_bcialg_2(A,k1_bcialg_1(A,B,D),C,J) ) ) ) ) ) )).
fof(s2_nat_1__e5_8__comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k3_xcmplx_0(B,k1_nat_1(k5_numbers,1))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),C),k3_xcmplx_0(B,k1_nat_1(C,1))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(C,1)),k3_xcmplx_0(B,k1_nat_1(k1_nat_1(C,1),1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),C),k3_xcmplx_0(B,k1_nat_1(C,1))) ) ) ) )).
fof(s2_nat_1__e5_8__measure6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r1_xxreal_0(k12_supinf_2(A,k5_numbers),k12_supinf_2(k16_supinf_2(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k12_supinf_2(A,B),k12_supinf_2(k16_supinf_2(A),B)) => r1_xxreal_0(k12_supinf_2(A,k1_nat_1(B,1)),k12_supinf_2(k16_supinf_2(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k12_supinf_2(A,B),k12_supinf_2(k16_supinf_2(A),B)) ) ) ) )).
fof(s2_nat_1__e5_8__msscyc_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_finset_1(B) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => v1_finset_1(a_3_0_msscyc_2(A,B,C)) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v1_finset_1(a_4_0_msscyc_2(A,B,D,E)) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => v1_finset_1(a_4_1_msscyc_2(A,B,D,F)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => v1_finset_1(a_4_0_msscyc_2(A,B,D,G)) ) ) ) ) )).
fof(s2_nat_1__e5_8__polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( k3_finseq_1(B) = k5_numbers => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k1_funct_1(B,D) = k2_binom(A,C,k7_nat_d(D,1)) ) ) => ( C = k5_struct_0(A) | k4_rlvect_1(A,B) = k12_algstr_0(A,k5_algstr_0(A,k5_struct_0(A),k2_binom(A,C,k3_finseq_1(B))),k5_algstr_0(A,k5_struct_0(A),C)) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( k3_finseq_1(F) = E => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(F)) ) => k1_funct_1(F,H) = k2_binom(A,G,k7_nat_d(H,1)) ) ) => ( G = k5_struct_0(A) | k4_rlvect_1(A,F) = k12_algstr_0(A,k5_algstr_0(A,k5_struct_0(A),k2_binom(A,G,k3_finseq_1(F))),k5_algstr_0(A,k5_struct_0(A),G)) ) ) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( k3_finseq_1(I) = k1_nat_1(E,1) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(1,K) & r1_xxreal_0(K,k3_finseq_1(I)) ) => k1_funct_1(I,K) = k2_binom(A,J,k7_nat_d(K,1)) ) ) => ( J = k5_struct_0(A) | k4_rlvect_1(A,I) = k12_algstr_0(A,k5_algstr_0(A,k5_struct_0(A),k2_binom(A,J,k3_finseq_1(I))),k5_algstr_0(A,k5_struct_0(A),J)) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ( k3_finseq_1(L) = E => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( ! [N] : ( v7_ordinal1(N) => ( ( r1_xxreal_0(1,N) & r1_xxreal_0(N,k3_finseq_1(L)) ) => k1_funct_1(L,N) = k2_binom(A,M,k7_nat_d(N,1)) ) ) => ( M = k5_struct_0(A) | k4_rlvect_1(A,L) = k12_algstr_0(A,k5_algstr_0(A,k5_struct_0(A),k2_binom(A,M,k3_finseq_1(L))),k5_algstr_0(A,k5_struct_0(A),M)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_8__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k1_newton(A,k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k1_newton(A,B),k5_numbers) => ~ r1_xxreal_0(k1_newton(A,k1_nat_1(B,1)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k1_newton(A,B),k5_numbers) ) ) ) )).
fof(s2_nat_1__e5_90__group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ( ( ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m2_finseq_1(E,A) => ( k3_finseq_1(D) = k5_numbers => r2_funct_2(B,B,k2_group_9(A,B,C,k8_finseq_1(A,D,E)),k1_partfun1(B,B,B,B,k2_group_9(A,B,C,E),k2_group_9(A,B,C,D))) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,A) => ! [H] : ( m2_finseq_1(H,A) => ( k3_finseq_1(G) = F => r2_funct_2(B,B,k2_group_9(A,B,C,k8_finseq_1(A,G,H)),k1_partfun1(B,B,B,B,k2_group_9(A,B,C,H),k2_group_9(A,B,C,G))) ) ) ) => ! [I] : ( m2_finseq_1(I,A) => ! [J] : ( m2_finseq_1(J,A) => ( k3_finseq_1(I) = k1_nat_1(F,1) => r2_funct_2(B,B,k2_group_9(A,B,C,k8_finseq_1(A,I,J)),k1_partfun1(B,B,B,B,k2_group_9(A,B,C,J),k2_group_9(A,B,C,I))) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( m2_finseq_1(K,A) => ! [L] : ( m2_finseq_1(L,A) => ( k3_finseq_1(K) = F => r2_funct_2(B,B,k2_group_9(A,B,C,k8_finseq_1(A,K,L)),k1_partfun1(B,B,B,B,k2_group_9(A,B,C,L),k2_group_9(A,B,C,K))) ) ) ) ) ) ) )).
fof(s2_nat_1__e5_91__pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & v1_xreal_0(C) & ~ v1_xboole_0(D) & m2_finseq_1(D,k4_ordinal1) & v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(D),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,D,k1_nat_1(k5_numbers,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),k5_numbers)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),k5_numbers),k26_valued_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,E),k5_numbers),C)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,D,k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),F)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),F),k26_valued_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,E),F),C)) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(D),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,D,k1_nat_1(k1_nat_1(F,1),1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),k1_nat_1(F,1))) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),k1_nat_1(F,1)),k26_valued_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,E),k1_nat_1(F,1)),C)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(D),1)) => ( r3_pdiff_9(A,B,k7_partfun1(k4_ordinal1,D,k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),F)) & r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,k26_valued_1(k1_euclid(A),k1_numbers,E,C)),F),k26_valued_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,D,E),F),C)) ) ) ) ) ) )).
fof(s2_nat_1__e5_95__lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( ( r2_tarski(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,E),k5_numbers),k1_lpspace2(A,B,C,D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,E),F),k1_lpspace2(A,B,C,D)) => r2_tarski(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,E),k1_nat_1(F,1)),k1_lpspace2(A,B,C,D)) ) ) ) => ! [F] : ( v7_ordinal1(F) => r2_tarski(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,E),F),k1_lpspace2(A,B,C,D)) ) ) ) )).
fof(s2_nat_1__e5_96__lpspace2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( ( v6_supinf_2(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( v6_supinf_2(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),C)) => v6_supinf_2(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => v6_supinf_2(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),C)) ) ) ) )).
fof(s2_nat_1__e5_97__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_nat_1(k1_numbers,k8_real_3(A),k1_nat_1(k5_numbers,1)) = k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k5_numbers,1)),k8_nat_1(k1_numbers,k5_real_3(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k8_real_3(A),k1_nat_1(B,1)) = k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k5_real_3(A),B)) => k8_nat_1(k1_numbers,k8_real_3(A),k1_nat_1(k1_nat_1(B,1),1)) = k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k1_nat_1(B,1),1)),k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k8_real_3(A),k1_nat_1(B,1)) = k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k5_real_3(A),B)) ) ) ) )).
fof(s2_nat_1__e5_9__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,D) ) => k1_bcialg_2(A,B,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),E) = k1_bcialg_2(A,B,C,E) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,D) ) => k1_bcialg_2(A,B,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),G) = k1_bcialg_2(A,B,C,G) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,D) ) => k1_bcialg_2(A,B,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),H) = k1_bcialg_2(A,B,C,H) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,D) ) => k1_bcialg_2(A,B,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),I) = k1_bcialg_2(A,B,C,I) ) ) ) ) ) )).
fof(s2_nat_1__e5_9__prepower,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( k1_newton(k7_xcmplx_0(1,A),k5_numbers) = k7_xcmplx_0(1,k1_newton(A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k1_newton(k7_xcmplx_0(1,A),B) = k7_xcmplx_0(1,k1_newton(A,B)) => k1_newton(k7_xcmplx_0(1,A),k1_nat_1(B,1)) = k7_xcmplx_0(1,k1_newton(A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_newton(k7_xcmplx_0(1,A),B) = k7_xcmplx_0(1,k1_newton(A,B)) ) ) ) )).
fof(s2_nat_1__e5_9__rlvect_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(D),u1_struct_0(k1_rlvect_3(A,C))) & k3_finseq_1(D) = k5_numbers & ! [E] : ( m2_rlvect_2(E,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,D,B)) != k6_rlvect_2(A,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(G),u1_struct_0(k1_rlvect_3(A,C))) & k3_finseq_1(G) = F & ! [H] : ( m2_rlvect_2(H,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,G,B)) != k6_rlvect_2(A,H) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(I),u1_struct_0(k1_rlvect_3(A,C))) & k3_finseq_1(I) = k1_nat_1(F,1) & ! [J] : ( m2_rlvect_2(J,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,I,B)) != k6_rlvect_2(A,J) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(K),u1_struct_0(k1_rlvect_3(A,C))) & k3_finseq_1(K) = F & ! [L] : ( m2_rlvect_2(L,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,K,B)) != k6_rlvect_2(A,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e62_49__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( m1_subset_1(A,u1_turing_1(k13_turing_1)) & m2_funct_2(B,k4_numbers,u1_turing_1(k13_turing_1),k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1))) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_numbers) & m1_subset_1(G,u2_turing_1(k13_turing_1)) & m1_subset_1(H,k4_numbers) & m1_subset_1(I,k4_numbers) & m1_subset_1(J,u1_turing_1(k13_turing_1)) ) => ( ( ( ~ r1_xxreal_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),k2_xcmplx_0(C,k5_numbers)) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1))),k9_turing_1(k13_turing_1,k4_domain_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1)),G,H,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A))),k5_numbers) = k3_xtuple_0(4,k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),k5_numbers),k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A)) ) & ! [K] : ( v7_ordinal1(K) => ( ( ~ r1_xxreal_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),k2_xcmplx_0(C,K)) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1))),k9_turing_1(k13_turing_1,k4_domain_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1)),G,H,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A))),K) = k3_xtuple_0(4,k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),K),k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A)) ) => ( ~ r1_xxreal_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),k2_xcmplx_0(C,k1_nat_1(K,1))) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1))),k9_turing_1(k13_turing_1,k4_domain_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1)),G,H,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A))),k1_nat_1(K,1)) = k3_xtuple_0(4,k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),k1_nat_1(K,1)),k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A)) ) ) ) ) => ! [K] : ( v7_ordinal1(K) => ( ~ r1_xxreal_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),k2_xcmplx_0(C,K)) => k8_nat_1(k3_zfmisc_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1))),k9_turing_1(k13_turing_1,k4_domain_1(u2_turing_1(k13_turing_1),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(k13_turing_1)),G,H,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A))),K) = k3_xtuple_0(4,k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),1),K),k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,k4_turing_1(k13_turing_1,B,F,A),I,J),k6_xcmplx_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),1),A)) ) ) ) ) )).
fof(s2_nat_1__e64_5_1_1_2__heine,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) => ~ ( r1_tarski(G,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(k8_nat_1(k1_numbers,F,k5_numbers),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(k5_numbers,1)))),k2_xcmplx_0(k8_nat_1(k1_numbers,F,k5_numbers),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(k5_numbers,1))))),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),G)) & v1_finset_1(G) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) => ~ ( r1_tarski(I,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(k8_nat_1(k1_numbers,F,H),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(H,1)))),k2_xcmplx_0(k8_nat_1(k1_numbers,F,H),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(H,1))))),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),I)) & v1_finset_1(I) ) ) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) => ~ ( r1_tarski(J,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(k8_nat_1(k1_numbers,F,k1_nat_1(H,1)),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(k1_nat_1(H,1),1)))),k2_xcmplx_0(k8_nat_1(k1_numbers,F,k1_nat_1(H,1)),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(k1_nat_1(H,1),1))))),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),J)) & v1_finset_1(J) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) => ~ ( r1_tarski(K,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(k8_nat_1(k1_numbers,F,H),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(H,1)))),k2_xcmplx_0(k8_nat_1(k1_numbers,F,H),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(H,1))))),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),K)) & v1_finset_1(K) ) ) ) ) ) )).
fof(s2_nat_1__e6_100_1_2_1_2__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & m2_finseq_1(C,k1_euclid(A)) & m2_finseq_1(D,k1_euclid(A)) ) => ( ( ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ! [G] : ( v7_ordinal1(G) => ( ( F = k7_partfun1(k1_euclid(A),D,k5_numbers) & r1_xxreal_0(1,G) & r1_xxreal_0(k5_numbers,k1_nat_1(k3_finseq_1(B),1)) & k7_partfun1(k1_euclid(A),C,G) = E ) => ( r1_xxreal_0(k5_numbers,G) | k22_rvsum_1(E,F) = k5_numbers ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m2_finseq_2(I,k1_numbers,k1_euclid(A)) => ! [J] : ( m2_finseq_2(J,k1_numbers,k1_euclid(A)) => ! [K] : ( v7_ordinal1(K) => ( ( J = k7_partfun1(k1_euclid(A),D,H) & r1_xxreal_0(1,K) & r1_xxreal_0(H,k1_nat_1(k3_finseq_1(B),1)) & k7_partfun1(k1_euclid(A),C,K) = I ) => ( r1_xxreal_0(H,K) | k22_rvsum_1(I,J) = k5_numbers ) ) ) ) ) => ! [L] : ( m2_finseq_2(L,k1_numbers,k1_euclid(A)) => ! [M] : ( m2_finseq_2(M,k1_numbers,k1_euclid(A)) => ! [N] : ( v7_ordinal1(N) => ( ( M = k7_partfun1(k1_euclid(A),D,k1_nat_1(H,1)) & r1_xxreal_0(1,N) & r1_xxreal_0(k1_nat_1(H,1),k1_nat_1(k3_finseq_1(B),1)) & k7_partfun1(k1_euclid(A),C,N) = L ) => ( r1_xxreal_0(k1_nat_1(H,1),N) | k22_rvsum_1(L,M) = k5_numbers ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( m2_finseq_2(O,k1_numbers,k1_euclid(A)) => ! [P] : ( m2_finseq_2(P,k1_numbers,k1_euclid(A)) => ! [Q] : ( v7_ordinal1(Q) => ( ( P = k7_partfun1(k1_euclid(A),D,H) & r1_xxreal_0(1,Q) & r1_xxreal_0(H,k1_nat_1(k3_finseq_1(B),1)) & k7_partfun1(k1_euclid(A),C,Q) = O ) => ( r1_xxreal_0(H,Q) | k22_rvsum_1(O,P) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_101_1_1_2__afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ~ ( B = k6_xcmplx_0(k1_afinsq_1(A),k5_numbers) & ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => A != k1_ordinal4(k5_relat_1(A,B),C) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ~ ( E = k6_xcmplx_0(k1_afinsq_1(A),D) & ! [F] : ( ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & v1_finset_1(F) ) => A != k1_ordinal4(k5_relat_1(A,E),F) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( G = k6_xcmplx_0(k1_afinsq_1(A),k1_nat_1(D,1)) & ! [H] : ( ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & v1_finset_1(H) ) => A != k1_ordinal4(k5_relat_1(A,G),H) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( v7_ordinal1(I) => ~ ( I = k6_xcmplx_0(k1_afinsq_1(A),D) & ! [J] : ( ( v1_relat_1(J) & v5_ordinal1(J) & v1_funct_1(J) & v1_finset_1(J) ) => A != k1_ordinal4(k5_relat_1(A,I),J) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_103_1__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(B))),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(B))),C)) => r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(B))),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k7_xcmplx_0(1,2),k8_nat_1(k1_numbers,k2_valued_0(k1_numbers,A,k3_series_1(k21_sin_cos(B))),C)) ) ) ) )).
fof(s2_nat_1__e6_109__finseq_3,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( A = k1_nat_1(k5_numbers,1) & r2_tarski(B,k2_finseq_1(A)) & r2_tarski(C,k2_finseq_1(k5_numbers)) ) => ( ( r1_xxreal_0(1,C) => ( r1_xxreal_0(B,C) | k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(A),k1_tarski(B))),C) = C ) ) & ( ( r1_xxreal_0(B,C) & r1_xxreal_0(C,k5_numbers) ) => k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(A),k1_tarski(B))),C) = k1_nat_1(C,1) ) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( E = k1_nat_1(D,1) & r2_tarski(F,k2_finseq_1(E)) & r2_tarski(G,k2_finseq_1(D)) ) => ( ( r1_xxreal_0(1,G) => ( r1_xxreal_0(F,G) | k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(E),k1_tarski(F))),G) = G ) ) & ( ( r1_xxreal_0(F,G) & r1_xxreal_0(G,D) ) => k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(E),k1_tarski(F))),G) = k1_nat_1(G,1) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( H = k1_nat_1(k1_nat_1(D,1),1) & r2_tarski(I,k2_finseq_1(H)) & r2_tarski(J,k2_finseq_1(k1_nat_1(D,1))) ) => ( ( r1_xxreal_0(1,J) => ( r1_xxreal_0(I,J) | k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(H),k1_tarski(I))),J) = J ) ) & ( ( r1_xxreal_0(I,J) & r1_xxreal_0(J,k1_nat_1(D,1)) ) => k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(H),k1_tarski(I))),J) = k1_nat_1(J,1) ) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ( ( K = k1_nat_1(D,1) & r2_tarski(L,k2_finseq_1(K)) & r2_tarski(M,k2_finseq_1(D)) ) => ( ( r1_xxreal_0(1,M) => ( r1_xxreal_0(L,M) | k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(K),k1_tarski(L))),M) = M ) ) & ( ( r1_xxreal_0(L,M) & r1_xxreal_0(M,D) ) => k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(K),k1_tarski(L))),M) = k1_nat_1(M,1) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_10__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( D = k5_numbers & r1_xxreal_0(D,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D)) = k1_bcialg_2(A,k4_struct_0(A),k2_bcialg_1(A,B),D) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ( F = E & r1_xxreal_0(F,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,F)) = k1_bcialg_2(A,k4_struct_0(A),k2_bcialg_1(A,B),F) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( G = k1_nat_1(E,1) & r1_xxreal_0(G,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,G)) = k1_bcialg_2(A,k4_struct_0(A),k2_bcialg_1(A,B),G) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( v7_ordinal1(H) => ( ( H = E & r1_xxreal_0(H,C) ) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,H)) = k1_bcialg_2(A,k4_struct_0(A),k2_bcialg_1(A,B),H) ) ) ) ) ) )).
fof(s2_nat_1__e6_11__euclid_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_valued_0(A) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => r1_xxreal_0(k5_numbers,k1_funct_1(A,k5_numbers)) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(B,k3_finseq_1(A)) => r1_xxreal_0(B,k1_funct_1(A,B)) ) => ( r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) => r1_xxreal_0(k1_nat_1(B,1),k1_funct_1(A,k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k3_finseq_1(A)) => r1_xxreal_0(B,k1_funct_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e6_11__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_tarski(k3_msafree2(k1_gfacirc2(A,B,C)),k3_msafree2(k1_gfacirc2(k2_xcmplx_0(A,k5_numbers),B,C))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k3_msafree2(k1_gfacirc2(A,B,C)),k3_msafree2(k1_gfacirc2(k2_xcmplx_0(A,D),B,C))) => r1_tarski(k3_msafree2(k1_gfacirc2(A,B,C)),k3_msafree2(k1_gfacirc2(k2_xcmplx_0(A,k1_nat_1(D,1)),B,C))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k3_msafree2(k1_gfacirc2(A,B,C)),k3_msafree2(k1_gfacirc2(k2_xcmplx_0(A,D),B,C))) ) ) ) )).
fof(s2_nat_1__e6_120__funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( k8_funct_7(A,k1_nat_1(k5_numbers,1)) = A & ! [B] : ( v7_ordinal1(B) => ( k8_funct_7(A,k1_nat_1(B,1)) = A => k8_funct_7(A,k1_nat_1(k1_nat_1(B,1),1)) = A ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_funct_7(A,k1_nat_1(B,1)) = A ) ) ) )).
fof(s2_nat_1__e6_122__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( ( r1_xxreal_0(k5_numbers,k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k5_numbers)))) = k5_numbers ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(B,k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),B)))) = B ) => ( r1_xxreal_0(k1_nat_1(B,1),k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),k1_nat_1(B,1))))) = k1_nat_1(B,1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k4_ordinal1),k23_lexbfs(A,k26_lexbfs(A),B)))) = B ) ) ) ) )).
fof(s2_nat_1__e6_13_1_1_1__taylor_2,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k5_numbers,k1_newton(A,k5_numbers)) & r1_xxreal_0(k1_newton(A,k5_numbers),k1_newton(B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k5_numbers,k1_newton(A,C)) & r1_xxreal_0(k1_newton(A,C),k1_newton(B,C)) ) => ( r1_xxreal_0(k5_numbers,k1_newton(A,k1_nat_1(C,1))) & r1_xxreal_0(k1_newton(A,k1_nat_1(C,1)),k1_newton(B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k1_newton(A,C)) & r1_xxreal_0(k1_newton(A,C),k1_newton(B,C)) ) ) ) ) )).
fof(s2_nat_1__e6_13__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k2_bcialg_6(A,B,k4_xcmplx_0(k5_numbers)) = k4_struct_0(A) & ! [C] : ( v7_ordinal1(C) => ( k2_bcialg_6(A,B,k4_xcmplx_0(C)) = k4_struct_0(A) => k2_bcialg_6(A,B,k4_xcmplx_0(k1_nat_1(C,1))) = k4_struct_0(A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,B,k4_xcmplx_0(C)) = k4_struct_0(A) ) ) ) )).
fof(s2_nat_1__e6_149__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) & v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) & m2_subset_1(D,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B)) ) => ( ( ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(B,E),k5_numbers) => ( k29_fomodel2(B,k37_fomodel3(B,C,D,E)) = k29_fomodel2(B,E) & ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => k25_fomodel2(B,A,F,k37_fomodel3(B,C,D,E)) = k25_fomodel2(B,A,k34_fomodel2(B,A,F,C,k3_funct_2(k35_fomodel1(B),A,k9_fomodel2(B,A,F),D)),E) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v4_fomodel2(H,B) & m2_subset_1(H,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(B,H),G) => ( k29_fomodel2(B,k37_fomodel3(B,C,D,H)) = k29_fomodel2(B,H) & ! [I] : ( m2_subset_1(I,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => k25_fomodel2(B,A,I,k37_fomodel3(B,C,D,H)) = k25_fomodel2(B,A,k34_fomodel2(B,A,I,C,k3_funct_2(k35_fomodel1(B),A,k9_fomodel2(B,A,I),D)),H) ) ) ) ) => ! [J] : ( ( v4_fomodel2(J,B) & m2_subset_1(J,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(B,J),k1_nat_1(G,1)) => ( k29_fomodel2(B,k37_fomodel3(B,C,D,J)) = k29_fomodel2(B,J) & ! [K] : ( m2_subset_1(K,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => k25_fomodel2(B,A,K,k37_fomodel3(B,C,D,J)) = k25_fomodel2(B,A,k34_fomodel2(B,A,K,C,k3_funct_2(k35_fomodel1(B),A,k9_fomodel2(B,A,K),D)),J) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( ( v4_fomodel2(L,B) & m2_subset_1(L,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( r1_xxreal_0(k29_fomodel2(B,L),G) => ( k29_fomodel2(B,k37_fomodel3(B,C,D,L)) = k29_fomodel2(B,L) & ! [M] : ( m2_subset_1(M,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => k25_fomodel2(B,A,M,k37_fomodel3(B,C,D,L)) = k25_fomodel2(B,A,k34_fomodel2(B,A,M,C,k3_funct_2(k35_fomodel1(B),A,k9_fomodel2(B,A,M),D)),L) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_14__measure2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( r1_tarski(k1_funct_1(A,k5_numbers),k1_funct_1(A,k1_nat_1(k5_numbers,1))) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k1_nat_1(B,1))) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_funct_1(A,k1_nat_1(k1_nat_1(B,1),1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k1_nat_1(B,1))) ) ) ) )).
fof(s2_nat_1__e6_14__prob_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k1_funct_1(B,k5_numbers) = k1_funct_1(k16_supinf_2(A),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(B,C) = k1_funct_1(k16_supinf_2(A),C) => k1_funct_1(B,k1_nat_1(C,1)) = k1_funct_1(k16_supinf_2(A),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k1_funct_1(k16_supinf_2(A),C) ) ) ) )).
fof(s2_nat_1__e6_15__mesfunc3,axiom,( ( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ~ ( k5_numbers = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k12_supinf_2(A,C) = B ) ) & ! [C] : ( m1_subset_1(C,k6_numbers) => ~ ( C = k5_numbers & k4_extreal1(A) = k1_extreal1(C,B) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k6_numbers) => ! [F] : ( m1_subset_1(F,k6_numbers) => ~ ( D = k3_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(E)) => k12_supinf_2(E,G) = F ) ) & ! [G] : ( m1_subset_1(G,k6_numbers) => ~ ( G = D & k4_extreal1(E) = k1_extreal1(G,F) ) ) ) ) ) => ! [H] : ( m2_finseq_1(H,k6_numbers) => ! [I] : ( m1_subset_1(I,k6_numbers) => ~ ( k1_nat_1(D,1) = k3_finseq_1(H) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(H)) => k12_supinf_2(H,J) = I ) ) & ! [J] : ( m1_subset_1(J,k6_numbers) => ~ ( J = k1_nat_1(D,1) & k4_extreal1(H) = k1_extreal1(J,I) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k6_numbers) => ! [L] : ( m1_subset_1(L,k6_numbers) => ~ ( D = k3_finseq_1(K) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(K)) => k12_supinf_2(K,M) = L ) ) & ! [M] : ( m1_subset_1(M,k6_numbers) => ~ ( M = D & k4_extreal1(K) = k1_extreal1(M,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_15__ramsey_1,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r1_xxreal_0(1,k5_numbers) => r1_xxreal_0(k1_nat_1(A,1),k4_newton(k5_numbers,k2_xcmplx_0(A,k5_numbers))) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(1,B) => r1_xxreal_0(k1_nat_1(C,1),k4_newton(B,k2_xcmplx_0(C,B))) ) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(1,k1_nat_1(B,1)) => r1_xxreal_0(k1_nat_1(D,1),k4_newton(k1_nat_1(B,1),k2_xcmplx_0(D,k1_nat_1(B,1)))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(1,B) => r1_xxreal_0(k1_nat_1(E,1),k4_newton(B,k2_xcmplx_0(E,B))) ) ) ) )).
fof(s2_nat_1__e6_160__comput_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k1_recdef_1(k16_comput_1,k10_finseq_1(A,k5_numbers)) = k3_xcmplx_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_recdef_1(k16_comput_1,k10_finseq_1(A,B)) = k3_xcmplx_0(A,B) => k1_recdef_1(k16_comput_1,k10_finseq_1(A,k1_nat_1(B,1))) = k3_xcmplx_0(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_recdef_1(k16_comput_1,k10_finseq_1(A,B)) = k3_xcmplx_0(A,B) ) ) ) )).
fof(s2_nat_1__e6_16__bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k5_numbers,C) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,k5_numbers),k8_nat_1(u1_struct_0(A),B,C)),u1_orders_2(A)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,D),k8_nat_1(u1_struct_0(A),B,E)),u1_orders_2(A)) ) ) => ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(k1_nat_1(D,1),F) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,k1_nat_1(D,1)),k8_nat_1(u1_struct_0(A),B,F)),u1_orders_2(A)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(D,G) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,D),k8_nat_1(u1_struct_0(A),B,G)),u1_orders_2(A)) ) ) ) ) ) )).
fof(s2_nat_1__e6_16__ramsey_1,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(1,A) ) => r1_xxreal_0(k1_nat_1(k5_numbers,1),k4_newton(k5_numbers,k2_xcmplx_0(A,k5_numbers))) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(1,C) ) => r1_xxreal_0(k1_nat_1(B,1),k4_newton(B,k2_xcmplx_0(C,B))) ) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,k1_nat_1(B,1)) & r1_xxreal_0(1,D) ) => r1_xxreal_0(k1_nat_1(k1_nat_1(B,1),1),k4_newton(k1_nat_1(B,1),k2_xcmplx_0(D,k1_nat_1(B,1)))) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(1,E) ) => r1_xxreal_0(k1_nat_1(B,1),k4_newton(B,k2_xcmplx_0(E,B))) ) ) ) )).
fof(s2_nat_1__e6_17_1__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) ) => ( ( k1_binop_1(k2_dblseq_2(A),B,k5_numbers) = k1_binop_1(k3_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),k5_numbers,B) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k2_dblseq_2(A),B,C) = k1_binop_1(k3_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),C,B) => k1_binop_1(k2_dblseq_2(A),B,k1_nat_1(C,1)) = k1_binop_1(k3_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),k1_nat_1(C,1),B) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k2_dblseq_2(A),B,C) = k1_binop_1(k3_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),C,B) ) ) ) )).
fof(s2_nat_1__e6_17__calcul_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m2_finseq_1(B,k3_cqc_lang(A)) & m2_finseq_1(C,k3_cqc_lang(A)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k5_numbers) ) => k1_funct_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B))),D) = k2_xcmplx_0(k3_finseq_1(C),D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) => k1_funct_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B))),F) = k2_xcmplx_0(k3_finseq_1(C),F) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(E,1)) ) => k1_funct_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B))),G) = k2_xcmplx_0(k3_finseq_1(C),G) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,E) ) => k1_funct_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B))),H) = k2_xcmplx_0(k3_finseq_1(C),H) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_17__hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k13_polynom3(A))) => ( ( B = k4_rlvect_1(k13_polynom3(A),C) & k3_finseq_1(C) = k5_numbers ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k8_nat_1(u1_struct_0(A),B,D) = k4_rlvect_1(A,k1_hurwitz(A,C,D)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(k13_polynom3(A))) => ( ( F = k4_rlvect_1(k13_polynom3(A),G) & k3_finseq_1(G) = E ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k8_nat_1(u1_struct_0(A),F,H) = k4_rlvect_1(A,k1_hurwitz(A,G,H)) ) ) ) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(k13_polynom3(A))) => ( ( I = k4_rlvect_1(k13_polynom3(A),J) & k3_finseq_1(J) = k1_nat_1(E,1) ) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => k8_nat_1(u1_struct_0(A),I,K) = k4_rlvect_1(A,k1_hurwitz(A,J,K)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(L,A) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [M] : ( m2_finseq_1(M,u1_struct_0(k13_polynom3(A))) => ( ( L = k4_rlvect_1(k13_polynom3(A),M) & k3_finseq_1(M) = E ) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => k8_nat_1(u1_struct_0(A),L,N) = k4_rlvect_1(A,k1_hurwitz(A,M,N)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_17__scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k5_numbers) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k1_scmpds_4(C,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k1_scmpds_4(C,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k1_nat_1(E,1)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k1_scmpds_4(C,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k1_scmpds_4(C,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) ) ) ) ) )).
fof(s2_nat_1__e6_18_2__ntalgo_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( r1_xxreal_0(k1_int_2(k8_nat_1(k4_numbers,A,k5_numbers)),k6_xcmplx_0(k1_int_2(k8_nat_1(k4_numbers,A,k5_numbers)),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k1_int_2(k8_nat_1(k4_numbers,A,B)),k6_xcmplx_0(k1_int_2(k8_nat_1(k4_numbers,A,k5_numbers)),B)) => r1_xxreal_0(k1_int_2(k8_nat_1(k4_numbers,A,k1_nat_1(B,1))),k6_xcmplx_0(k1_int_2(k8_nat_1(k4_numbers,A,k5_numbers)),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_int_2(k8_nat_1(k4_numbers,A,B)),k6_xcmplx_0(k1_int_2(k8_nat_1(k4_numbers,A,k5_numbers)),B)) ) ) ) )).
fof(s2_nat_1__e6_18__finseqop,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v7_ordinal1(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & v3_card_1(F,D) & m2_finseq_1(F,A) & v3_card_1(G,D) & m2_finseq_1(G,B) ) => ( ( ! [H] : ( ( v3_card_1(H,k5_numbers) & m2_finseq_1(H,A) ) => ! [I] : ( ( v3_card_1(I,k5_numbers) & m2_finseq_1(I,B) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,E,k8_finseq_1(A,F,H),k8_finseq_1(B,G,I)),k8_finseq_1(C,k1_finseqop(A,B,C,E,F,G),k1_finseqop(A,B,C,E,H,I))) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( v3_card_1(K,J) & m2_finseq_1(K,A) ) => ! [L] : ( ( v3_card_1(L,J) & m2_finseq_1(L,B) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,E,k8_finseq_1(A,F,K),k8_finseq_1(B,G,L)),k8_finseq_1(C,k1_finseqop(A,B,C,E,F,G),k1_finseqop(A,B,C,E,K,L))) ) ) => ! [M] : ( ( v3_card_1(M,k1_nat_1(J,1)) & m2_finseq_1(M,A) ) => ! [N] : ( ( v3_card_1(N,k1_nat_1(J,1)) & m2_finseq_1(N,B) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,E,k8_finseq_1(A,F,M),k8_finseq_1(B,G,N)),k8_finseq_1(C,k1_finseqop(A,B,C,E,F,G),k1_finseqop(A,B,C,E,M,N))) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [O] : ( ( v3_card_1(O,J) & m2_finseq_1(O,A) ) => ! [P] : ( ( v3_card_1(P,J) & m2_finseq_1(P,B) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,E,k8_finseq_1(A,F,O),k8_finseq_1(B,G,P)),k8_finseq_1(C,k1_finseqop(A,B,C,E,F,G),k1_finseqop(A,B,C,E,O,P))) ) ) ) ) ) )).
fof(s2_nat_1__e6_18__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,E)) ) ) ) ) )).
fof(s2_nat_1__e6_19_1__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( ! [D] : ( m2_vectsp_6(D,A,B,C) => ( k4_card_1(k1_vectsp_6(A,B,D)) = k5_numbers => r2_tarski(k4_vectsp_6(A,B,D),C) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_vectsp_6(F,A,B,C) => ( k4_card_1(k1_vectsp_6(A,B,F)) = E => r2_tarski(k4_vectsp_6(A,B,F),C) ) ) => ! [G] : ( m2_vectsp_6(G,A,B,C) => ( k4_card_1(k1_vectsp_6(A,B,G)) = k1_nat_1(E,1) => r2_tarski(k4_vectsp_6(A,B,G),C) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m2_vectsp_6(H,A,B,C) => ( k4_card_1(k1_vectsp_6(A,B,H)) = E => r2_tarski(k4_vectsp_6(A,B,H),C) ) ) ) ) ) )).
fof(s2_nat_1__e6_19_3_2__csspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_csspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_csspace3)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v7_ordinal1(C) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k5_algstr_0(k3_csspace3,k1_normsp_0(k3_csspace3,A,E),k1_normsp_0(k3_csspace3,A,C))))),k5_numbers) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(B),k2_csspace(k1_normsp_0(k3_csspace3,A,C))))),k5_numbers) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [H] : ( v7_ordinal1(H) => k1_funct_1(G,H) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k5_algstr_0(k3_csspace3,k1_normsp_0(k3_csspace3,A,H),k1_normsp_0(k3_csspace3,A,C))))),F) ) => ( v2_comseq_2(G) & k1_seq_2(G) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(B),k2_csspace(k1_normsp_0(k3_csspace3,A,C))))),F) ) ) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [J] : ( v7_ordinal1(J) => k1_funct_1(I,J) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k5_algstr_0(k3_csspace3,k1_normsp_0(k3_csspace3,A,J),k1_normsp_0(k3_csspace3,A,C))))),k1_nat_1(F,1)) ) => ( v2_comseq_2(I) & k1_seq_2(I) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(B),k2_csspace(k1_normsp_0(k3_csspace3,A,C))))),k1_nat_1(F,1)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k1_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [L] : ( v7_ordinal1(L) => k1_funct_1(K,L) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(k5_algstr_0(k3_csspace3,k1_normsp_0(k3_csspace3,A,L),k1_normsp_0(k3_csspace3,A,C))))),F) ) => ( v2_comseq_2(K) & k1_seq_2(K) = k1_funct_1(k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(B),k2_csspace(k1_normsp_0(k3_csspace3,A,C))))),F) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_19_3_2__rsspace3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k3_rsspace3)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_rsspace3)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(k5_algstr_0(k3_rsspace3,k1_normsp_0(k3_rsspace3,A,E),k1_normsp_0(k3_rsspace3,A,C))))),k5_numbers) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(B),k2_rsspace(k1_normsp_0(k3_rsspace3,A,C))))),k5_numbers) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [H] : ( v7_ordinal1(H) => k1_funct_1(G,H) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(k5_algstr_0(k3_rsspace3,k1_normsp_0(k3_rsspace3,A,H),k1_normsp_0(k3_rsspace3,A,C))))),F) ) => ( v2_comseq_2(G) & k1_seq_2(G) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(B),k2_rsspace(k1_normsp_0(k3_rsspace3,A,C))))),F) ) ) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [J] : ( v7_ordinal1(J) => k1_funct_1(I,J) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(k5_algstr_0(k3_rsspace3,k1_normsp_0(k3_rsspace3,A,J),k1_normsp_0(k3_rsspace3,A,C))))),k1_nat_1(F,1)) ) => ( v2_comseq_2(I) & k1_seq_2(I) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(B),k2_rsspace(k1_normsp_0(k3_rsspace3,A,C))))),k1_nat_1(F,1)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k1_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [L] : ( v7_ordinal1(L) => k1_funct_1(K,L) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(k5_algstr_0(k3_rsspace3,k1_normsp_0(k3_rsspace3,A,L),k1_normsp_0(k3_rsspace3,A,C))))),F) ) => ( v2_comseq_2(K) & k1_seq_2(K) = k1_funct_1(k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(B),k2_rsspace(k1_normsp_0(k3_rsspace3,A,C))))),F) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_19__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,D) ) => k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_1(A,B,C),E) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,E),k1_bcialg_2(A,k4_struct_0(A),C,E)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,D) ) => k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_1(A,B,C),G) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,G),k1_bcialg_2(A,k4_struct_0(A),C,G)) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,D) ) => k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_1(A,B,C),H) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,H),k1_bcialg_2(A,k4_struct_0(A),C,H)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,D) ) => k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_1(A,B,C),I) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,I),k1_bcialg_2(A,k4_struct_0(A),C,I)) ) ) ) ) ) )).
fof(s2_nat_1__e6_19__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k2_xcmplx_0(1,k3_xcmplx_0(k5_numbers,A)),k1_newton(k2_xcmplx_0(1,A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k2_xcmplx_0(1,k3_xcmplx_0(B,A)),k1_newton(k2_xcmplx_0(1,A),B)) => r1_xxreal_0(k2_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(B,1),A)),k1_newton(k2_xcmplx_0(1,A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k2_xcmplx_0(1,k3_xcmplx_0(B,A)),k1_newton(k2_xcmplx_0(1,A),B)) ) ) ) )).
fof(s2_nat_1__e6_19__sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( k9_complex1(k8_nat_1(k2_numbers,k3_sin_cos(A),k5_numbers)) = k8_nat_1(k1_numbers,k4_sin_cos(k9_complex1(A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k9_complex1(k8_nat_1(k2_numbers,k3_sin_cos(A),B)) = k8_nat_1(k1_numbers,k4_sin_cos(k9_complex1(A)),B) => k9_complex1(k8_nat_1(k2_numbers,k3_sin_cos(A),k1_nat_1(B,1))) = k8_nat_1(k1_numbers,k4_sin_cos(k9_complex1(A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k9_complex1(k8_nat_1(k2_numbers,k3_sin_cos(A),B)) = k8_nat_1(k1_numbers,k4_sin_cos(k9_complex1(A)),B) ) ) ) )).
fof(s2_nat_1__e6_1_1__measure8,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k8_nat_1(k6_numbers,k16_supinf_2(A),k5_numbers) = k8_nat_1(k6_numbers,k1_mesfunc9(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k6_numbers,k16_supinf_2(A),B) = k8_nat_1(k6_numbers,k1_mesfunc9(A),B) => k8_nat_1(k6_numbers,k16_supinf_2(A),k1_nat_1(B,1)) = k8_nat_1(k6_numbers,k1_mesfunc9(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k6_numbers,k16_supinf_2(A),B) = k8_nat_1(k6_numbers,k1_mesfunc9(A),B) ) ) ) )).
fof(s2_nat_1__e6_20__abcmiz_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k5_numbers) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k5_numbers)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => r1_tarski(k1_funct_1(A,D),k1_funct_1(A,C)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_nat_1(C,1)) => r1_tarski(k1_funct_1(A,E),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,C) => r1_tarski(k1_funct_1(A,F),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(s2_nat_1__e6_20__real_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,A) => k8_nat_1(k4_ordinal1,k1_real_3(C,B),k5_numbers) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(D,A) => k8_nat_1(k4_ordinal1,k1_real_3(C,B),D) = k5_numbers ) => ( ~ r1_xxreal_0(k1_nat_1(D,1),A) => k8_nat_1(k4_ordinal1,k1_real_3(C,B),k1_nat_1(D,1)) = k5_numbers ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,A) => k8_nat_1(k4_ordinal1,k1_real_3(C,B),D) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e6_212__scmyciel,axiom,( ( k8_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),k5_numbers)) = 2 & k10_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),k5_numbers)) = k1_nat_1(k5_numbers,2) & ! [A] : ( v7_ordinal1(A) => ( ( k8_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),A)) = 2 & k10_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),A)) = k1_nat_1(A,2) ) => ( k8_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),k1_nat_1(A,1))) = 2 & k10_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),k1_nat_1(A,1))) = k1_nat_1(k1_nat_1(A,1),2) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( k8_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),A)) = 2 & k10_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),A)) = k1_nat_1(A,2) ) ) )).
fof(s2_nat_1__e6_21__clopban4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_clopban4(A,B),k5_numbers)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_clopban4(A,B),C)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),C)) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_clopban4(A,B),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_clopban4(A,B),C)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e6_22_1__convex4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m2_convex4(C,A,B) => ( k4_card_1(k1_convex4(A,C)) = k5_numbers => r2_tarski(k4_convex4(A,C),B) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_convex4(E,A,B) => ( k4_card_1(k1_convex4(A,E)) = D => r2_tarski(k4_convex4(A,E),B) ) ) => ! [F] : ( m2_convex4(F,A,B) => ( k4_card_1(k1_convex4(A,F)) = k1_nat_1(D,1) => r2_tarski(k4_convex4(A,F),B) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_convex4(G,A,B) => ( k4_card_1(k1_convex4(A,G)) = D => r2_tarski(k4_convex4(A,G),B) ) ) ) ) ) )).
fof(s2_nat_1__e6_22__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( F = k5_numbers & r1_xxreal_0(F,E) ) => r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_2(A,B,D,F),k1_bcialg_2(A,C,D,F)),k1_bcialg_1(A,B,C)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ( ( H = G & r1_xxreal_0(H,E) ) => r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_2(A,B,D,H),k1_bcialg_2(A,C,D,H)),k1_bcialg_1(A,B,C)) ) ) => ! [I] : ( v7_ordinal1(I) => ( ( I = k1_nat_1(G,1) & r1_xxreal_0(I,E) ) => r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_2(A,B,D,I),k1_bcialg_2(A,C,D,I)),k1_bcialg_1(A,B,C)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( v7_ordinal1(J) => ( ( J = G & r1_xxreal_0(J,E) ) => r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_2(A,B,D,J),k1_bcialg_2(A,C,D,J)),k1_bcialg_1(A,B,C)) ) ) ) ) ) )).
fof(s2_nat_1__e6_22__finsop_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( m2_finseq_1(E,A) => ( ( r1_xxreal_0(1,k3_finseq_1(C)) & k3_finseq_1(C) = k5_numbers & k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(C) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(E,F) = k1_binop_1(B,k1_funct_1(C,F),k1_funct_1(D,F)) ) ) ) => k1_finsop_1(A,E,B) = k4_binop_1(A,B,k1_finsop_1(A,C,B),k1_finsop_1(A,D,B)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,A) => ! [I] : ( m2_finseq_1(I,A) => ! [J] : ( m2_finseq_1(J,A) => ( ( r1_xxreal_0(1,k3_finseq_1(H)) & k3_finseq_1(H) = G & k3_finseq_1(H) = k3_finseq_1(I) & k3_finseq_1(H) = k3_finseq_1(J) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k1_relset_1(k4_ordinal1,H)) => k1_funct_1(J,K) = k1_binop_1(B,k1_funct_1(H,K),k1_funct_1(I,K)) ) ) ) => k1_finsop_1(A,J,B) = k4_binop_1(A,B,k1_finsop_1(A,H,B),k1_finsop_1(A,I,B)) ) ) ) ) => ! [L] : ( m2_finseq_1(L,A) => ! [M] : ( m2_finseq_1(M,A) => ! [N] : ( m2_finseq_1(N,A) => ( ( r1_xxreal_0(1,k3_finseq_1(L)) & k3_finseq_1(L) = k1_nat_1(G,1) & k3_finseq_1(L) = k3_finseq_1(M) & k3_finseq_1(L) = k3_finseq_1(N) & ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k1_relset_1(k4_ordinal1,L)) => k1_funct_1(N,O) = k1_binop_1(B,k1_funct_1(L,O),k1_funct_1(M,O)) ) ) ) => k1_finsop_1(A,N,B) = k4_binop_1(A,B,k1_finsop_1(A,L,B),k1_finsop_1(A,M,B)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,A) => ! [Q] : ( m2_finseq_1(Q,A) => ! [R] : ( m2_finseq_1(R,A) => ( ( r1_xxreal_0(1,k3_finseq_1(P)) & k3_finseq_1(P) = G & k3_finseq_1(P) = k3_finseq_1(Q) & k3_finseq_1(P) = k3_finseq_1(R) & ! [S] : ( v7_ordinal1(S) => ( r2_tarski(S,k1_relset_1(k4_ordinal1,P)) => k1_funct_1(R,S) = k1_binop_1(B,k1_funct_1(P,S),k1_funct_1(Q,S)) ) ) ) => k1_finsop_1(A,R,B) = k4_binop_1(A,B,k1_finsop_1(A,P,B),k1_finsop_1(A,Q,B)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_22__simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_matroid0(B) & v3_matroid0(B) & ~ v5_simplex0(B) & m1_simplex0(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k1_orders_1(u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A)))) ) => ( ( ! [D] : ! [E] : ( ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(D,k3_convex1(A,k1_simplex1(A,B,E))) & k4_card_1(E) = k5_numbers & ! [F] : ( ( v6_ordinal1(F) & v1_finset_1(F) & v1_tops_2(F,B) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k11_simplex0(u1_struct_0(A),B,C)))) => ~ ( G = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),C,F) & r2_tarski(D,k3_convex1(A,k1_simplex1(A,k11_simplex0(u1_struct_0(A),B,C),G))) & r1_tarski(k5_setfam_1(u1_struct_0(B),F),E) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ! [J] : ( ( v3_pre_topc(J,B) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(I,k3_convex1(A,k1_simplex1(A,B,J))) & k4_card_1(J) = H & ! [K] : ( ( v6_ordinal1(K) & v1_finset_1(K) & v1_tops_2(K,B) & m1_subset_1(K,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(k11_simplex0(u1_struct_0(A),B,C)))) => ~ ( L = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),C,K) & r2_tarski(I,k3_convex1(A,k1_simplex1(A,k11_simplex0(u1_struct_0(A),B,C),L))) & r1_tarski(k5_setfam_1(u1_struct_0(B),K),J) ) ) ) ) ) => ! [M] : ! [N] : ( ( v3_pre_topc(N,B) & m1_subset_1(N,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(M,k3_convex1(A,k1_simplex1(A,B,N))) & k4_card_1(N) = k1_nat_1(H,1) & ! [O] : ( ( v6_ordinal1(O) & v1_finset_1(O) & v1_tops_2(O,B) & m1_subset_1(O,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [P] : ( m1_subset_1(P,k1_zfmisc_1(u1_struct_0(k11_simplex0(u1_struct_0(A),B,C)))) => ~ ( P = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),C,O) & r2_tarski(M,k3_convex1(A,k1_simplex1(A,k11_simplex0(u1_struct_0(A),B,C),P))) & r1_tarski(k5_setfam_1(u1_struct_0(B),O),N) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [Q] : ! [R] : ( ( v3_pre_topc(R,B) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(Q,k3_convex1(A,k1_simplex1(A,B,R))) & k4_card_1(R) = H & ! [S] : ( ( v6_ordinal1(S) & v1_finset_1(S) & v1_tops_2(S,B) & m1_subset_1(S,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [T] : ( m1_subset_1(T,k1_zfmisc_1(u1_struct_0(k11_simplex0(u1_struct_0(A),B,C)))) => ~ ( T = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),C,S) & r2_tarski(Q,k3_convex1(A,k1_simplex1(A,k11_simplex0(u1_struct_0(A),B,C),T))) & r1_tarski(k5_setfam_1(u1_struct_0(B),S),R) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_23__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( E = k5_numbers & r1_xxreal_0(E,D) ) => r1_bcialg_1(A,k1_bcialg_2(A,k1_bcialg_2(A,B,k1_bcialg_1(A,B,C),E),k1_bcialg_1(A,C,B),E),B) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ( G = F & r1_xxreal_0(G,D) ) => r1_bcialg_1(A,k1_bcialg_2(A,k1_bcialg_2(A,B,k1_bcialg_1(A,B,C),G),k1_bcialg_1(A,C,B),G),B) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( H = k1_nat_1(F,1) & r1_xxreal_0(H,D) ) => r1_bcialg_1(A,k1_bcialg_2(A,k1_bcialg_2(A,B,k1_bcialg_1(A,B,C),H),k1_bcialg_1(A,C,B),H),B) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => ( ( I = F & r1_xxreal_0(I,D) ) => r1_bcialg_1(A,k1_bcialg_2(A,k1_bcialg_2(A,B,k1_bcialg_1(A,B,C),I),k1_bcialg_1(A,C,B),I),B) ) ) ) ) ) )).
fof(s2_nat_1__e6_23__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),C) = k3_knaster(A,B,C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = k3_knaster(A,B,C,D) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(D,1)),C) = k3_knaster(A,B,C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = k3_knaster(A,B,C,D) ) ) ) )).
fof(s2_nat_1__e6_23__moebius1,axiom,( ( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(A)),k2_finseq_1(k5_numbers)) & r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(B)),k2_finseq_1(k5_numbers)) & ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => r1_xxreal_0(k11_nat_3(A,C),k11_nat_3(B,C)) ) ) => r1_nat_d(A,B) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ( ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(E)),k2_finseq_1(D)) & r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(F)),k2_finseq_1(D)) & ! [G] : ( ( v7_ordinal1(G) & v1_int_2(G) ) => r1_xxreal_0(k11_nat_3(E,G),k11_nat_3(F,G)) ) ) => r1_nat_d(E,F) ) ) ) => ! [H] : ( ( ~ v8_ordinal1(H) & m1_subset_1(H,k4_ordinal1) ) => ! [I] : ( ( ~ v8_ordinal1(I) & m1_subset_1(I,k4_ordinal1) ) => ( ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(H)),k2_finseq_1(k1_nat_1(D,1))) & r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(I)),k2_finseq_1(k1_nat_1(D,1))) & ! [J] : ( ( v7_ordinal1(J) & v1_int_2(J) ) => r1_xxreal_0(k11_nat_3(H,J),k11_nat_3(I,J)) ) ) => r1_nat_d(H,I) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( ~ v8_ordinal1(K) & m1_subset_1(K,k4_ordinal1) ) => ! [L] : ( ( ~ v8_ordinal1(L) & m1_subset_1(L,k4_ordinal1) ) => ( ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(K)),k2_finseq_1(D)) & r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(L)),k2_finseq_1(D)) & ! [M] : ( ( v7_ordinal1(M) & v1_int_2(M) ) => r1_xxreal_0(k11_nat_3(K,M),k11_nat_3(L,M)) ) ) => r1_nat_d(K,L) ) ) ) ) )).
fof(s2_nat_1__e6_24__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k5_numbers),C) = k4_knaster(A,B,C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = k4_knaster(A,B,C,D) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,k1_nat_1(D,1)),C) = k4_knaster(A,B,C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_abian(u1_struct_0(A),B,D),C) = k4_knaster(A,B,C,D) ) ) ) )).
fof(s2_nat_1__e6_24__measure8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ( ? [D] : ( v7_ordinal1(D) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [F] : ( m4_measure8(F,A,B,E) => r1_xxreal_0(k8_nat_1(k6_numbers,k1_mesfunc9(k2_measure8(A,B,C,k8_measure8(A,B,E,F))),k5_numbers),k8_nat_1(k6_numbers,k1_mesfunc9(k4_measure8(A,B,E,C,F)),D)) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( v7_ordinal1(H) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [J] : ( m4_measure8(J,A,B,I) => r1_xxreal_0(k8_nat_1(k6_numbers,k1_mesfunc9(k2_measure8(A,B,C,k8_measure8(A,B,I,J))),G),k8_nat_1(k6_numbers,k1_mesfunc9(k4_measure8(A,B,I,C,J)),H)) ) ) ) => ? [K] : ( v7_ordinal1(K) & ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [M] : ( m4_measure8(M,A,B,L) => r1_xxreal_0(k8_nat_1(k6_numbers,k1_mesfunc9(k2_measure8(A,B,C,k8_measure8(A,B,L,M))),k1_nat_1(G,1)),k8_nat_1(k6_numbers,k1_mesfunc9(k4_measure8(A,B,L,C,M)),K)) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ? [N] : ( v7_ordinal1(N) & ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [P] : ( m4_measure8(P,A,B,O) => r1_xxreal_0(k8_nat_1(k6_numbers,k1_mesfunc9(k2_measure8(A,B,C,k8_measure8(A,B,O,P))),G),k8_nat_1(k6_numbers,k1_mesfunc9(k4_measure8(A,B,O,C,P)),N)) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_24__mesfunc7,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ( ( k4_mesfunc7(A,k1_nat_1(k5_numbers,1)) = k1_extreal1(k4_mesfunc7(A,k5_numbers),A) & ! [B] : ( v7_ordinal1(B) => ( k4_mesfunc7(A,k1_nat_1(B,1)) = k1_extreal1(k4_mesfunc7(A,B),A) => k4_mesfunc7(A,k1_nat_1(k1_nat_1(B,1),1)) = k1_extreal1(k4_mesfunc7(A,k1_nat_1(B,1)),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => k4_mesfunc7(A,k1_nat_1(B,1)) = k1_extreal1(k4_mesfunc7(A,B),A) ) ) ) )).
fof(s2_nat_1__e6_24__sfmastr2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( ( ( r1_xxreal_0(k1_funct_1(A,C),k5_numbers) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),k5_numbers),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(D)))) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k1_funct_1(A,C),E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(D)))) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k4_scmfsa_2(k5_numbers)) = 1 ) ) => ( r1_xxreal_0(k1_funct_1(A,C),k1_nat_1(E,1)) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),k1_nat_1(E,1)),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(D)))) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),k1_nat_1(E,1)),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_funct_1(A,C),E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(D)))) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) )).
fof(s2_nat_1__e6_25__circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) & m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) & m1_subset_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(E,k5_numbers) => r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),E),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(E,F) => r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),E),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),F)) ) => ( r1_xxreal_0(E,k1_nat_1(F,1)) => r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),E),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(E,F) => r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),E),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),F)) ) ) ) ) )).
fof(s2_nat_1__e6_25__clvect_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & v1_xcmplx_0(B) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(C) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & F = k1_funct_1(D,E) ) => k1_funct_1(C,E) = k1_clvect_1(A,F,B) ) ) ) ) => k4_rlvect_1(A,C) = k1_clvect_1(A,k4_rlvect_1(A,D),B) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( ( k3_finseq_1(H) = k3_finseq_1(I) & k3_finseq_1(H) = G & ! [J] : ( v7_ordinal1(J) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_tarski(J,k2_finseq_1(k3_finseq_1(H))) & K = k1_funct_1(I,J) ) => k1_funct_1(H,J) = k1_clvect_1(A,K,B) ) ) ) ) => k4_rlvect_1(A,H) = k1_clvect_1(A,k4_rlvect_1(A,I),B) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ( ( k3_finseq_1(L) = k3_finseq_1(M) & k3_finseq_1(L) = k1_nat_1(G,1) & ! [N] : ( v7_ordinal1(N) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ( ( r2_tarski(N,k2_finseq_1(k3_finseq_1(L))) & O = k1_funct_1(M,N) ) => k1_funct_1(L,N) = k1_clvect_1(A,O,B) ) ) ) ) => k4_rlvect_1(A,L) = k1_clvect_1(A,k4_rlvect_1(A,M),B) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) => ( ( k3_finseq_1(P) = k3_finseq_1(Q) & k3_finseq_1(P) = G & ! [R] : ( v7_ordinal1(R) => ! [S] : ( m1_subset_1(S,u1_struct_0(A)) => ( ( r2_tarski(R,k2_finseq_1(k3_finseq_1(P))) & S = k1_funct_1(Q,R) ) => k1_funct_1(P,R) = k1_clvect_1(A,S,B) ) ) ) ) => k4_rlvect_1(A,P) = k1_clvect_1(A,k4_rlvect_1(A,Q),B) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_25__matrix_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k2_numbers)) & v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(k2_numbers)) ) => ( ( ~ ! [E] : ( m2_finseq_1(E,k2_numbers) => ( r1_xxreal_0(1,k2_xcmplx_0(k5_numbers,1)) & r1_xxreal_0(k2_xcmplx_0(k5_numbers,1),k3_finseq_1(D)) & ~ ( k3_finseq_1(E) = k2_xcmplx_0(k5_numbers,1) & k9_matrix_5(E,1) = k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,1),k3_matrix_0(k2_numbers,D,1,B)) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k2_xcmplx_0(k5_numbers,1),F) | k9_matrix_5(E,k2_xcmplx_0(F,1)) = k2_xcmplx_0(k9_matrix_5(E,F),k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,k2_xcmplx_0(F,1)),k3_matrix_0(k2_numbers,D,k2_xcmplx_0(F,1),B))) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ! [H] : ( m2_finseq_1(H,k2_numbers) => ( r1_xxreal_0(1,k2_xcmplx_0(G,1)) & r1_xxreal_0(k2_xcmplx_0(G,1),k3_finseq_1(D)) & ~ ( k3_finseq_1(H) = k2_xcmplx_0(G,1) & k9_matrix_5(H,1) = k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,1),k3_matrix_0(k2_numbers,D,1,B)) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(1,I) => ( r1_xxreal_0(k2_xcmplx_0(G,1),I) | k9_matrix_5(H,k2_xcmplx_0(I,1)) = k2_xcmplx_0(k9_matrix_5(H,I),k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,k2_xcmplx_0(I,1)),k3_matrix_0(k2_numbers,D,k2_xcmplx_0(I,1),B))) ) ) ) ) ) ) => ~ ! [J] : ( m2_finseq_1(J,k2_numbers) => ( r1_xxreal_0(1,k2_xcmplx_0(k1_nat_1(G,1),1)) & r1_xxreal_0(k2_xcmplx_0(k1_nat_1(G,1),1),k3_finseq_1(D)) & ~ ( k3_finseq_1(J) = k2_xcmplx_0(k1_nat_1(G,1),1) & k9_matrix_5(J,1) = k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,1),k3_matrix_0(k2_numbers,D,1,B)) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(1,K) => ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(G,1),1),K) | k9_matrix_5(J,k2_xcmplx_0(K,1)) = k2_xcmplx_0(k9_matrix_5(J,K),k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,k2_xcmplx_0(K,1)),k3_matrix_0(k2_numbers,D,k2_xcmplx_0(K,1),B))) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ! [L] : ( m2_finseq_1(L,k2_numbers) => ( r1_xxreal_0(1,k2_xcmplx_0(G,1)) & r1_xxreal_0(k2_xcmplx_0(G,1),k3_finseq_1(D)) & ~ ( k3_finseq_1(L) = k2_xcmplx_0(G,1) & k9_matrix_5(L,1) = k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,1),k3_matrix_0(k2_numbers,D,1,B)) & ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(1,M) => ( r1_xxreal_0(k2_xcmplx_0(G,1),M) | k9_matrix_5(L,k2_xcmplx_0(M,1)) = k2_xcmplx_0(k9_matrix_5(L,M),k3_xcmplx_0(k3_matrix_0(k2_numbers,C,A,k2_xcmplx_0(M,1)),k3_matrix_0(k2_numbers,D,k2_xcmplx_0(M,1),B))) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_25__msscyc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) & ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ( ( ? [C] : ( v7_graph_1(C,A) & m1_graph_1(C,A) & r1_tarski(k10_xtuple_0(C),k10_xtuple_0(B)) & k3_finseq_1(C) = k5_numbers & ~ v1_xboole_0(k7_finseq_1(C,B)) & v7_graph_1(k7_finseq_1(C,B),A) & m1_graph_1(k7_finseq_1(C,B),A) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v7_graph_1(E,A) & m1_graph_1(E,A) & r1_tarski(k10_xtuple_0(E),k10_xtuple_0(B)) & k3_finseq_1(E) = D & ~ v1_xboole_0(k7_finseq_1(E,B)) & v7_graph_1(k7_finseq_1(E,B),A) & m1_graph_1(k7_finseq_1(E,B),A) ) => ? [F] : ( v7_graph_1(F,A) & m1_graph_1(F,A) & r1_tarski(k10_xtuple_0(F),k10_xtuple_0(B)) & k3_finseq_1(F) = k1_nat_1(D,1) & ~ v1_xboole_0(k7_finseq_1(F,B)) & v7_graph_1(k7_finseq_1(F,B),A) & m1_graph_1(k7_finseq_1(F,B),A) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [G] : ( v7_graph_1(G,A) & m1_graph_1(G,A) & r1_tarski(k10_xtuple_0(G),k10_xtuple_0(B)) & k3_finseq_1(G) = D & ~ v1_xboole_0(k7_finseq_1(G,B)) & v7_graph_1(k7_finseq_1(G,B),A) & m1_graph_1(k7_finseq_1(G,B),A) ) ) ) ) )).
fof(s2_nat_1__e6_25__scmfsa8a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k2_scmfsa8a(A,B,C)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k2_scmfsa8a(A,B,C)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E)) ) => ( r1_xxreal_0(k1_nat_1(E,1),k2_scmfsa8a(A,B,C)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k2_scmfsa8a(A,B,C)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E)) ) ) ) ) )).
fof(s2_nat_1__e6_25__zmodul01,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(C) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & F = k1_funct_1(D,E) ) => k1_funct_1(C,E) = k1_zmodul01(B,F,A) ) ) ) ) => k4_rlvect_1(B,C) = k1_zmodul01(B,k4_rlvect_1(B,D),A) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(B)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ( ( k3_finseq_1(H) = k3_finseq_1(I) & k3_finseq_1(H) = G & ! [J] : ( v7_ordinal1(J) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( r2_tarski(J,k2_finseq_1(k3_finseq_1(H))) & K = k1_funct_1(I,J) ) => k1_funct_1(H,J) = k1_zmodul01(B,K,A) ) ) ) ) => k4_rlvect_1(B,H) = k1_zmodul01(B,k4_rlvect_1(B,I),A) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(B)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(B)) => ( ( k3_finseq_1(L) = k3_finseq_1(M) & k3_finseq_1(L) = k1_nat_1(G,1) & ! [N] : ( v7_ordinal1(N) => ! [O] : ( m1_subset_1(O,u1_struct_0(B)) => ( ( r2_tarski(N,k2_finseq_1(k3_finseq_1(L))) & O = k1_funct_1(M,N) ) => k1_funct_1(L,N) = k1_zmodul01(B,O,A) ) ) ) ) => k4_rlvect_1(B,L) = k1_zmodul01(B,k4_rlvect_1(B,M),A) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(B)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(B)) => ( ( k3_finseq_1(P) = k3_finseq_1(Q) & k3_finseq_1(P) = G & ! [R] : ( v7_ordinal1(R) => ! [S] : ( m1_subset_1(S,u1_struct_0(B)) => ( ( r2_tarski(R,k2_finseq_1(k3_finseq_1(P))) & S = k1_funct_1(Q,R) ) => k1_funct_1(P,R) = k1_zmodul01(B,S,A) ) ) ) ) => k4_rlvect_1(B,P) = k1_zmodul01(B,k4_rlvect_1(B,Q),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_26__asympt_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) ) => ( ( k6_series_1(A,k5_numbers) = k3_xcmplx_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k6_series_1(A,C) = k3_xcmplx_0(B,C) => k6_series_1(A,k1_nat_1(C,1)) = k3_xcmplx_0(B,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k6_series_1(A,C) = k3_xcmplx_0(B,C) ) ) ) )).
fof(s2_nat_1__e6_26__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) ) => ( ( r1_tarski(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D)),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,k5_numbers)))) & ! [E] : ( v7_ordinal1(E) => ( r1_tarski(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D)),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,E)))) => r1_tarski(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D)),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,k1_nat_1(E,1))))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r1_tarski(k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D)),k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,E)))) ) ) ) )).
fof(s2_nat_1__e6_26__lopban_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),k5_numbers)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),C)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),C)) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),C)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e6_26__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v2_scm_halt(C) & ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),k5_numbers),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k5_numbers)) & ! [E] : ( v7_ordinal1(E) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),E)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),k1_nat_1(E,1))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),E)) ) ) ) )).
fof(s2_nat_1__e6_26__series_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers) = k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k6_xcmplx_0(1,k1_newton(A,k5_numbers))),k1_newton(k6_xcmplx_0(1,A),2)),k7_xcmplx_0(k3_xcmplx_0(k5_numbers,k1_newton(A,k1_nat_1(k5_numbers,1))),k6_xcmplx_0(1,A))) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,k3_series_1(B),C) = k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k6_xcmplx_0(1,k1_newton(A,C))),k1_newton(k6_xcmplx_0(1,A),2)),k7_xcmplx_0(k3_xcmplx_0(C,k1_newton(A,k1_nat_1(C,1))),k6_xcmplx_0(1,A))) => k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1)) = k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k6_xcmplx_0(1,k1_newton(A,k1_nat_1(C,1)))),k1_newton(k6_xcmplx_0(1,A),2)),k7_xcmplx_0(k3_xcmplx_0(k1_nat_1(C,1),k1_newton(A,k1_nat_1(k1_nat_1(C,1),1))),k6_xcmplx_0(1,A))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k6_xcmplx_0(1,k1_newton(A,C))),k1_newton(k6_xcmplx_0(1,A),2)),k7_xcmplx_0(k3_xcmplx_0(C,k1_newton(A,k1_nat_1(C,1))),k6_xcmplx_0(1,A))) ) ) ) )).
fof(s2_nat_1__e6_27_4_1__lp_space,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(E) ) => ( ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [G] : ( v7_ordinal1(G) => k8_nat_1(k1_numbers,F,G) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k2_rsspace(k5_algstr_0(B,k1_normsp_0(B,C,G),k1_normsp_0(B,C,E))),A)),k5_numbers) ) => ( v2_comseq_2(F) & k1_seq_2(F) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(D),k2_rsspace(k1_normsp_0(B,C,E))),A)),k5_numbers) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [J] : ( v7_ordinal1(J) => k8_nat_1(k1_numbers,I,J) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k2_rsspace(k5_algstr_0(B,k1_normsp_0(B,C,J),k1_normsp_0(B,C,E))),A)),H) ) => ( v2_comseq_2(I) & k1_seq_2(I) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(D),k2_rsspace(k1_normsp_0(B,C,E))),A)),H) ) ) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k1_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [L] : ( v7_ordinal1(L) => k8_nat_1(k1_numbers,K,L) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k2_rsspace(k5_algstr_0(B,k1_normsp_0(B,C,L),k1_normsp_0(B,C,E))),A)),k1_nat_1(H,1)) ) => ( v2_comseq_2(K) & k1_seq_2(K) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(D),k2_rsspace(k1_normsp_0(B,C,E))),A)),k1_nat_1(H,1)) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,k1_numbers) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [N] : ( v7_ordinal1(N) => k8_nat_1(k1_numbers,M,N) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k2_rsspace(k5_algstr_0(B,k1_normsp_0(B,C,N),k1_normsp_0(B,C,E))),A)),H) ) => ( v2_comseq_2(M) & k1_seq_2(M) = k8_nat_1(k1_numbers,k3_series_1(k1_lp_space(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(D),k2_rsspace(k1_normsp_0(B,C,E))),A)),H) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_27__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ~ ( r1_xxreal_0(D,k5_numbers) & r1_xxreal_0(k5_numbers,C) & r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,C) & r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),F))) ) => ~ ( r1_xxreal_0(D,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),C) & r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,C) & r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),F))) ) ) ) ) )).
fof(s2_nat_1__e6_27__series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k8_nat_1(k1_numbers,k3_series_1(k1_prepower(A)),k5_numbers) = k7_xcmplx_0(k6_xcmplx_0(1,k2_power(A,k1_nat_1(k5_numbers,1))),k6_xcmplx_0(1,A)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(k1_prepower(A)),B) = k7_xcmplx_0(k6_xcmplx_0(1,k2_power(A,k1_nat_1(B,1))),k6_xcmplx_0(1,A)) => k8_nat_1(k1_numbers,k3_series_1(k1_prepower(A)),k1_nat_1(B,1)) = k7_xcmplx_0(k6_xcmplx_0(1,k2_power(A,k1_nat_1(k1_nat_1(B,1),1))),k6_xcmplx_0(1,A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(k1_prepower(A)),B) = k7_xcmplx_0(k6_xcmplx_0(1,k2_power(A,k1_nat_1(B,1))),k6_xcmplx_0(1,A)) ) ) ) )).
fof(s2_nat_1__e6_27__taylor_2,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,C),1)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),C) => k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(C,1)),1)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,C),1)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),C) ) ) ) )).
fof(s2_nat_1__e6_28__ntalgo_1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k4_numbers) & m2_finseq_1(B,k4_numbers) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k5_numbers) ) => k1_funct_1(B,k1_nat_1(C,1)) = k3_xcmplx_0(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) & k1_funct_1(B,k1_nat_1(k5_numbers,1)) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) ) => k1_funct_1(B,k1_nat_1(E,1)) = k3_xcmplx_0(k1_funct_1(B,E),k1_funct_1(A,E)) ) ) & k1_funct_1(B,k1_nat_1(D,1)) = k5_numbers ) => ~ ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k6_xcmplx_0(k3_finseq_1(A),1)) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(D,1)) ) => k1_funct_1(B,k1_nat_1(F,1)) = k3_xcmplx_0(k1_funct_1(B,F),k1_funct_1(A,F)) ) ) & k1_funct_1(B,k1_nat_1(k1_nat_1(D,1),1)) = k5_numbers ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,D) ) => k1_funct_1(B,k1_nat_1(G,1)) = k3_xcmplx_0(k1_funct_1(B,G),k1_funct_1(A,G)) ) ) & k1_funct_1(B,k1_nat_1(D,1)) = k5_numbers ) ) ) ) )).
fof(s2_nat_1__e6_28__ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(B) = k5_numbers & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(B,C) != k3_hurwitz(A,D,1) ) ) ) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( C = k3_group_4(k13_polynom3(A),B) & C = k9_polynom3(A) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(F) = E & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(F)) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k1_funct_1(F,G) != k3_hurwitz(A,H,1) ) ) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( G = k3_group_4(k13_polynom3(A),F) & G = k9_polynom3(A) ) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(I)) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => k1_funct_1(I,J) != k3_hurwitz(A,K,1) ) ) ) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(J,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( J = k3_group_4(k13_polynom3(A),I) & J = k9_polynom3(A) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,u1_struct_0(k13_polynom3(A))) => ( ( k3_finseq_1(L) = E & ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k4_finseq_1(L)) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => k1_funct_1(L,M) != k3_hurwitz(A,N,1) ) ) ) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(M,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( M = k3_group_4(k13_polynom3(A),L) & M = k9_polynom3(A) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_28__series_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,B,k5_numbers) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,B,C) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),C)) => k8_nat_1(k1_numbers,B,k1_nat_1(C,1)) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),C)) ) ) ) )).
fof(s2_nat_1__e6_29_1_1_1_2_3_1_1_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v7_ordinal1(E) ) => ( ( ( ( r2_tarski(k5_numbers,k4_finseq_1(B)) & r1_xxreal_0(k5_numbers,E) ) => ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_funct_1(B,k5_numbers)) => r2_tarski(F,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( ( r2_tarski(G,k4_finseq_1(B)) & r1_xxreal_0(G,E) ) => ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,k1_funct_1(B,G)) => r2_tarski(H,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) => ( ( r2_tarski(k1_nat_1(G,1),k4_finseq_1(B)) & r1_xxreal_0(k1_nat_1(G,1),E) ) => ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k1_funct_1(B,k1_nat_1(G,1))) => r2_tarski(I,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k4_finseq_1(B)) & r1_xxreal_0(G,E) ) => ! [J] : ( m1_subset_1(J,A) => ( r2_tarski(J,k1_funct_1(B,G)) => r2_tarski(J,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_29_1__real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k8_nat_1(k4_ordinal1,k2_real_3(A,k5_numbers),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k4_ordinal1,k2_real_3(A,k5_numbers),B) = k5_numbers => k8_nat_1(k4_ordinal1,k2_real_3(A,k5_numbers),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_ordinal1,k2_real_3(A,k5_numbers),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e6_29__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k6_lopban_3(A,k3_rlvect_1(A,B,C),k5_numbers) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k5_lopban_4(k5_numbers,A,B,C)),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k6_lopban_3(A,k3_rlvect_1(A,B,C),D) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k5_lopban_4(D,A,B,C)),D) => k6_lopban_3(A,k3_rlvect_1(A,B,C),k1_nat_1(D,1)) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k5_lopban_4(k1_nat_1(D,1),A,B,C)),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k6_lopban_3(A,k3_rlvect_1(A,B,C),D) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k5_lopban_4(D,A,B,C)),D) ) ) ) )).
fof(s2_nat_1__e6_29__measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) ) => ( ( ? [B] : ( m1_subset_1(B,k4_ordinal1) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [D] : ( m2_measure7(D,C) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k3_measure7(k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),C)),k11_measure7(C,D,A))),k5_numbers),k12_supinf_2(k16_supinf_2(k7_measure7(C,D)),B)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( m1_subset_1(F,k4_ordinal1) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [H] : ( m2_measure7(H,G) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k3_measure7(k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),G)),k11_measure7(G,H,A))),E),k12_supinf_2(k16_supinf_2(k7_measure7(G,H)),F)) ) ) ) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [K] : ( m2_measure7(K,J) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k3_measure7(k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),J)),k11_measure7(J,K,A))),k1_nat_1(E,1)),k12_supinf_2(k16_supinf_2(k7_measure7(J,K)),I)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ? [L] : ( m1_subset_1(L,k4_ordinal1) & ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [N] : ( m2_measure7(N,M) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k3_measure7(k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),M)),k11_measure7(M,N,A))),E),k12_supinf_2(k16_supinf_2(k7_measure7(M,N)),L)) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_29__ntalgo_1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k4_numbers) & m2_finseq_1(B,k4_numbers) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k5_numbers) ) => k1_funct_1(B,k1_nat_1(C,1)) = k3_xcmplx_0(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => r1_int_2(k1_funct_1(B,k1_nat_1(k5_numbers,1)),k1_funct_1(A,C)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) ) => k1_funct_1(B,k1_nat_1(E,1)) = k3_xcmplx_0(k1_funct_1(B,E),k1_funct_1(A,E)) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k1_nat_1(D,1),E) & r1_xxreal_0(E,k3_finseq_1(A)) ) => r1_int_2(k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(A,E)) ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k6_xcmplx_0(k3_finseq_1(A),1)) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(D,1)) ) => k1_funct_1(B,k1_nat_1(F,1)) = k3_xcmplx_0(k1_funct_1(B,F),k1_funct_1(A,F)) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k1_nat_1(k1_nat_1(D,1),1),F) & r1_xxreal_0(F,k3_finseq_1(A)) ) => r1_int_2(k1_funct_1(B,k1_nat_1(k1_nat_1(D,1),1)),k1_funct_1(A,F)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,D) ) => k1_funct_1(B,k1_nat_1(G,1)) = k3_xcmplx_0(k1_funct_1(B,G),k1_funct_1(A,G)) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(k1_nat_1(D,1),G) & r1_xxreal_0(G,k3_finseq_1(A)) ) => r1_int_2(k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(A,G)) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_2__fintopo4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k4_ordinal1) ) => ( ( r1_tarski(k7_fintopo3(A,B,C),k7_fintopo3(A,B,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k7_fintopo3(A,B,C),k7_fintopo3(A,B,k2_xcmplx_0(C,D))) => r1_tarski(k7_fintopo3(A,B,C),k7_fintopo3(A,B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k7_fintopo3(A,B,C),k7_fintopo3(A,B,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e6_2__integra2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( C = k2_xcmplx_0(B,k5_numbers) & r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( F = k2_xcmplx_0(E,D) & r2_tarski(E,k4_finseq_1(A)) & r2_tarski(F,k4_finseq_1(A)) ) => r1_xxreal_0(k1_funct_1(A,E),k1_funct_1(A,F)) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( H = k2_xcmplx_0(G,k1_nat_1(D,1)) & r2_tarski(G,k4_finseq_1(A)) & r2_tarski(H,k4_finseq_1(A)) ) => r1_xxreal_0(k1_funct_1(A,G),k1_funct_1(A,H)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( J = k2_xcmplx_0(I,D) & r2_tarski(I,k4_finseq_1(A)) & r2_tarski(J,k4_finseq_1(A)) ) => r1_xxreal_0(k1_funct_1(A,I),k1_funct_1(A,J)) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_2__mesfunc3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & m2_finseq_1(B,k1_numbers) ) => ( ( ! [C] : ( m2_finseq_1(C,k6_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( r2_relset_1(k4_ordinal1,k6_numbers,C,k2_partfun1(k4_ordinal1,k6_numbers,A,k2_finseq_1(k5_numbers))) & r2_relset_1(k4_ordinal1,k1_numbers,D,k2_partfun1(k4_ordinal1,k1_numbers,B,k2_finseq_1(k5_numbers))) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) ) => k4_extreal1(C) = k18_rvsum_1(D) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,k6_numbers) => ! [G] : ( m2_finseq_1(G,k1_numbers) => ( ( r2_relset_1(k4_ordinal1,k6_numbers,F,k2_partfun1(k4_ordinal1,k6_numbers,A,k2_finseq_1(E))) & r2_relset_1(k4_ordinal1,k1_numbers,G,k2_partfun1(k4_ordinal1,k1_numbers,B,k2_finseq_1(E))) & r1_xxreal_0(E,k3_finseq_1(A)) ) => k4_extreal1(F) = k18_rvsum_1(G) ) ) ) => ! [H] : ( m2_finseq_1(H,k6_numbers) => ! [I] : ( m2_finseq_1(I,k1_numbers) => ( ( r2_relset_1(k4_ordinal1,k6_numbers,H,k2_partfun1(k4_ordinal1,k6_numbers,A,k2_finseq_1(k1_nat_1(E,1)))) & r2_relset_1(k4_ordinal1,k1_numbers,I,k2_partfun1(k4_ordinal1,k1_numbers,B,k2_finseq_1(k1_nat_1(E,1)))) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) ) => k4_extreal1(H) = k18_rvsum_1(I) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_finseq_1(J,k6_numbers) => ! [K] : ( m2_finseq_1(K,k1_numbers) => ( ( r2_relset_1(k4_ordinal1,k6_numbers,J,k2_partfun1(k4_ordinal1,k6_numbers,A,k2_finseq_1(E))) & r2_relset_1(k4_ordinal1,k1_numbers,K,k2_partfun1(k4_ordinal1,k1_numbers,B,k2_finseq_1(E))) & r1_xxreal_0(E,k3_finseq_1(A)) ) => k4_extreal1(J) = k18_rvsum_1(K) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_30_1__real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k8_nat_1(k4_ordinal1,k1_real_3(A,k5_numbers),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k4_ordinal1,k1_real_3(A,k5_numbers),B) = k5_numbers => k8_nat_1(k4_ordinal1,k1_real_3(A,k5_numbers),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_ordinal1,k1_real_3(A,k5_numbers),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e6_30_2_1__goboard7,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ( ( r1_xxreal_0(2,k5_numbers) => ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k5_numbers,1)))) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) ) ) ) => ( r1_xxreal_0(2,k1_nat_1(B,1)) => ( r1_xxreal_0(k3_finseq_1(A),k1_nat_1(B,1)) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_30_2_2__goboard7,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ( ( r1_xxreal_0(2,k5_numbers) => ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k5_numbers,1))),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers))) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) => ( r1_xxreal_0(2,k1_nat_1(B,1)) => ( r1_xxreal_0(k3_finseq_1(A),k1_nat_1(B,1)) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_nat_1(B,1),1))),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) & ~ r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_30__ntalgo_1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k4_numbers) & m2_finseq_1(B,k4_numbers) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k5_numbers) ) => k1_funct_1(B,k1_nat_1(C,1)) = k3_xcmplx_0(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k5_numbers) ) => k5_int_1(k1_funct_1(B,k1_nat_1(k5_numbers,1)),k1_funct_1(A,C)) = k5_numbers ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) ) => k1_funct_1(B,k1_nat_1(E,1)) = k3_xcmplx_0(k1_funct_1(B,E),k1_funct_1(A,E)) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) ) => k5_int_1(k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(A,E)) = k5_numbers ) ) ) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k6_xcmplx_0(k3_finseq_1(A),1)) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(D,1)) ) => k1_funct_1(B,k1_nat_1(F,1)) = k3_xcmplx_0(k1_funct_1(B,F),k1_funct_1(A,F)) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(D,1)) ) => k5_int_1(k1_funct_1(B,k1_nat_1(k1_nat_1(D,1),1)),k1_funct_1(A,F)) = k5_numbers ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,D) ) => k1_funct_1(B,k1_nat_1(G,1)) = k3_xcmplx_0(k1_funct_1(B,G),k1_funct_1(A,G)) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,D) ) => k5_int_1(k1_funct_1(B,k1_nat_1(D,1)),k1_funct_1(A,G)) = k5_numbers ) ) ) ) ) ) )).
fof(s2_nat_1__e6_30__series_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,B,k5_numbers) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,B,C) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),C)) => k8_nat_1(k1_numbers,B,k1_nat_1(C,1)) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k4_real_1(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k8_nat_1(k1_numbers,k1_prepower(A),C)) ) ) ) )).
fof(s2_nat_1__e6_31_1__real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k8_nat_1(k4_ordinal1,k2_real_3(k5_numbers,A),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k4_ordinal1,k2_real_3(k5_numbers,A),B) = k5_numbers => k8_nat_1(k4_ordinal1,k2_real_3(k5_numbers,A),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_ordinal1,k2_real_3(k5_numbers,A),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e6_31_2_1__goboard7,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ( ( r1_xxreal_0(2,k5_numbers) => ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k5_numbers,1)))) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) ) ) ) => ( r1_xxreal_0(2,k1_nat_1(B,1)) => ( r1_xxreal_0(k3_finseq_1(A),k1_nat_1(B,1)) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_31_2_2__goboard7,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ( ( r1_xxreal_0(2,k5_numbers) => ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k5_numbers,1))),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k5_numbers))) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) => ( r1_xxreal_0(2,k1_nat_1(B,1)) => ( r1_xxreal_0(k3_finseq_1(A),k1_nat_1(B,1)) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_nat_1(B,1),1))),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)))) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => ( r1_xxreal_0(k3_finseq_1(A),B) | ( r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) & ~ r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_31__graph_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_graph_2(A) & v2_graph_2(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_graph_2(B) & v2_graph_2(B) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) ) => k1_funct_1(A,k5_numbers) = k1_funct_1(B,k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) => ( ( r1_xxreal_0(1,k1_nat_1(C,1)) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) ) => k1_funct_1(A,k1_nat_1(C,1)) = k1_funct_1(B,k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) )).
fof(s2_nat_1__e6_31__newton01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(k5_numbers,D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(k5_numbers,D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(k5_numbers,D),1)))) & ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(E,D),1)))) & ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) ) => ( ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(k1_nat_1(E,1),D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(k1_nat_1(E,1),D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(k1_nat_1(E,1),D),1)))) & ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(E,D),1)))) & ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) ) ) ) ) )).
fof(s2_nat_1__e6_31__simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,k5_numbers) => ( g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k5_simplex1(k5_numbers,A,B) & r1_xxreal_0(k6_simplex0(k5_simplex1(k5_numbers,A,B)),k5_numbers) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(C,k5_numbers) => ( g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k5_simplex1(C,A,B) & r1_xxreal_0(k6_simplex0(k5_simplex1(C,A,B)),k5_numbers) ) ) => ( ~ r1_xxreal_0(k1_nat_1(C,1),k5_numbers) => ( g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k5_simplex1(k1_nat_1(C,1),A,B) & r1_xxreal_0(k6_simplex0(k5_simplex1(k1_nat_1(C,1),A,B)),k5_numbers) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ( g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k5_simplex1(C,A,B) & r1_xxreal_0(k6_simplex0(k5_simplex1(C,A,B)),k5_numbers) ) ) ) ) ) )).
fof(s2_nat_1__e6_31__sin_cos,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => ( ( k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k2_xcmplx_0(B,A))),k5_numbers) = k8_nat_1(k2_numbers,k10_comseq_3(k10_sin_cos(k5_numbers,B,A)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k2_xcmplx_0(B,A))),C) = k8_nat_1(k2_numbers,k10_comseq_3(k10_sin_cos(C,B,A)),C) => k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k2_xcmplx_0(B,A))),k1_nat_1(C,1)) = k8_nat_1(k2_numbers,k10_comseq_3(k10_sin_cos(k1_nat_1(C,1),B,A)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k2_xcmplx_0(B,A))),C) = k8_nat_1(k2_numbers,k10_comseq_3(k10_sin_cos(C,B,A)),C) ) ) ) )).
fof(s2_nat_1__e6_32_1_1_1_1_1_2_1_1_2_1_1_2__finance2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_numbers) & v7_ordinal1(C) ) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k1_nat_1(D,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e6_32_1_1_1_1_1_2_1_2__finance2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_numbers) & v7_ordinal1(C) ) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k1_nat_1(D,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e6_32_1_1_1_2_1_2_1_1_2_1_1_2__finance2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_numbers) & v7_ordinal1(C) ) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k1_nat_1(D,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e6_32_1_1_1_2_1_2_1_2__finance2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_numbers) & v7_ordinal1(C) ) => ( ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k5_numbers)) => r2_hidden(B,k3_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),k1_nat_1(D,1))) => r2_hidden(B,k3_numbers) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(B,k8_nat_1(k9_setfam_1(k1_numbers),k5_finance2(k1_nat_1(C,1),A),D)) => r2_hidden(B,k3_numbers) ) ) ) ) )).
fof(s2_nat_1__e6_32_1__real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( k8_nat_1(k4_ordinal1,k1_real_3(k5_numbers,A),k5_numbers) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k4_ordinal1,k1_real_3(k5_numbers,A),B) = k5_numbers => k8_nat_1(k4_ordinal1,k1_real_3(k5_numbers,A),k1_nat_1(B,1)) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_ordinal1,k1_real_3(k5_numbers,A),B) = k5_numbers ) ) ) )).
fof(s2_nat_1__e6_32__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_tarski(k3_msafree2(k5_gfacirc2(A,B,C)),k3_msafree2(k5_gfacirc2(k2_xcmplx_0(A,k5_numbers),B,C))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k3_msafree2(k5_gfacirc2(A,B,C)),k3_msafree2(k5_gfacirc2(k2_xcmplx_0(A,D),B,C))) => r1_tarski(k3_msafree2(k5_gfacirc2(A,B,C)),k3_msafree2(k5_gfacirc2(k2_xcmplx_0(A,k1_nat_1(D,1)),B,C))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k3_msafree2(k5_gfacirc2(A,B,C)),k3_msafree2(k5_gfacirc2(k2_xcmplx_0(A,D),B,C))) ) ) ) )).
fof(s2_nat_1__e6_32__graph_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_graph_2(A) & v2_graph_2(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_graph_2(B) & v2_graph_2(B) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) & k1_funct_1(A,k5_numbers) = k1_funct_1(B,k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) => ~ ( r1_xxreal_0(1,k1_nat_1(C,1)) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k1_funct_1(A,k1_nat_1(C,1)) = k1_funct_1(B,k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) )).
fof(s2_nat_1__e6_34__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & m2_finseq_1(D,A) & ~ v2_struct_0(E) & l2_fsm_1(E,A,B) & m1_subset_1(F,u1_struct_0(E)) & m1_subset_1(G,u1_struct_0(E)) ) => ( ( ( r2_tarski(k5_numbers,k2_finseq_1(k1_nat_1(k3_finseq_1(D),1))) => k1_funct_1(k2_fsm_1(A,E,F,k8_finseq_1(A,k12_finseq_1(A,C),D)),k1_nat_1(k5_numbers,1)) = k1_funct_1(k2_fsm_1(A,E,G,D),k5_numbers) ) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k2_finseq_1(k1_nat_1(k3_finseq_1(D),1))) => k1_funct_1(k2_fsm_1(A,E,F,k8_finseq_1(A,k12_finseq_1(A,C),D)),k1_nat_1(H,1)) = k1_funct_1(k2_fsm_1(A,E,G,D),H) ) => ( r2_tarski(k1_nat_1(H,1),k2_finseq_1(k1_nat_1(k3_finseq_1(D),1))) => k1_funct_1(k2_fsm_1(A,E,F,k8_finseq_1(A,k12_finseq_1(A,C),D)),k1_nat_1(k1_nat_1(H,1),1)) = k1_funct_1(k2_fsm_1(A,E,G,D),k1_nat_1(H,1)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k1_nat_1(k3_finseq_1(D),1))) => k1_funct_1(k2_fsm_1(A,E,F,k8_finseq_1(A,k12_finseq_1(A,C),D)),k1_nat_1(H,1)) = k1_funct_1(k2_fsm_1(A,E,G,D),H) ) ) ) ) )).
fof(s2_nat_1__e6_34__polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k2_binom(A,k9_algstr_0(A,B),k5_numbers) = k9_algstr_0(A,k2_binom(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k2_binom(A,k9_algstr_0(A,B),C) = k9_algstr_0(A,k2_binom(A,B,C)) => k2_binom(A,k9_algstr_0(A,B),k1_nat_1(C,1)) = k9_algstr_0(A,k2_binom(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_binom(A,k9_algstr_0(A,B),C) = k9_algstr_0(A,k2_binom(A,B,C)) ) ) ) )).
fof(s2_nat_1__e6_36_1_1_1_2_3_1_1_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v1_funct_1(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v7_ordinal1(E) ) => ( ( ( ( r2_tarski(k5_numbers,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(k5_numbers,E) ) => ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_funct_1(k2_rearran1(A,B),k5_numbers)) => r2_tarski(F,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( ( r2_tarski(G,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(G,E) ) => ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,k1_funct_1(k2_rearran1(A,B),G)) => r2_tarski(H,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) => ( ( r2_tarski(k1_nat_1(G,1),k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(k1_nat_1(G,1),E) ) => ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k1_funct_1(k2_rearran1(A,B),k1_nat_1(G,1))) => r2_tarski(I,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(G,E) ) => ! [J] : ( m1_subset_1(J,A) => ( r2_tarski(J,k1_funct_1(k2_rearran1(A,B),G)) => r2_tarski(J,k8_relset_1(A,k1_numbers,C,k1_tarski(D))) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_37_1_1_2_5__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) & m2_subset_1(E,A,C) ) => ( ( k3_funct_2(A,A,k1_abian(A,B,k3_xcmplx_0(D,k5_numbers)),E) = E & ! [F] : ( v7_ordinal1(F) => ( k3_funct_2(A,A,k1_abian(A,B,k3_xcmplx_0(D,F)),E) = E => k3_funct_2(A,A,k1_abian(A,B,k3_xcmplx_0(D,k1_nat_1(F,1))),E) = E ) ) ) => ! [F] : ( v7_ordinal1(F) => k3_funct_2(A,A,k1_abian(A,B,k3_xcmplx_0(D,F)),E) = E ) ) ) )).
fof(s2_nat_1__e6_38_1__amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,E,D,k5_numbers)),k1_relset_1(k4_ordinal1,C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,E,D,F)),k1_relset_1(k4_ordinal1,C)) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,E,D,k1_nat_1(F,1))),k1_relset_1(k4_ordinal1,C)) ) ) ) => ! [F] : ( v7_ordinal1(F) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,E,D,F)),k1_relset_1(k4_ordinal1,C)) ) ) ) )).
fof(s2_nat_1__e6_38_3_1__series_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k5_series_1(2,B)) & ~ r1_xxreal_0(k3_xcmplx_0(k5_numbers,k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1)))),k8_nat_1(k1_numbers,C,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_xxreal_0(D,k5_series_1(2,B)) & ~ r1_xxreal_0(k3_xcmplx_0(D,k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1)))),k8_nat_1(k1_numbers,C,D)) ) => ~ ( r1_xxreal_0(k1_nat_1(D,1),k5_series_1(2,B)) & ~ r1_xxreal_0(k3_xcmplx_0(k1_nat_1(D,1),k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1)))),k8_nat_1(k1_numbers,C,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k5_series_1(2,B)) & ~ r1_xxreal_0(k3_xcmplx_0(D,k3_funct_2(k4_ordinal1,k1_numbers,A,k5_series_1(2,k1_nat_1(B,1)))),k8_nat_1(k1_numbers,C,D)) ) ) ) ) )).
fof(s2_nat_1__e6_38__entropy1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) ) => k3_finseq_1(k1_matrprob(A,C,k5_numbers)) = k3_xcmplx_0(k5_numbers,k1_matrix_0(B)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k3_finseq_1(k1_matrprob(A,C,D)) = k3_xcmplx_0(D,k1_matrix_0(B)) ) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) ) => k3_finseq_1(k1_matrprob(A,C,k1_nat_1(D,1))) = k3_xcmplx_0(k1_nat_1(D,1),k1_matrix_0(B)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k3_finseq_1(k1_matrprob(A,C,D)) = k3_xcmplx_0(D,k1_matrix_0(B)) ) ) ) ) )).
fof(s2_nat_1__e6_38__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(E,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,E)) = k5_numbers => k2_polynom2(A,B,k11_polynom1(A,B,E,C),D) = k8_group_1(B,k2_polynom2(A,B,E,D),k2_polynom2(A,B,C,D)) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,G)) = F => k2_polynom2(A,B,k11_polynom1(A,B,G,C),D) = k8_group_1(B,k2_polynom2(A,B,G,D),k2_polynom2(A,B,C,D)) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,H)) = k1_nat_1(F,1) => k2_polynom2(A,B,k11_polynom1(A,B,H,C),D) = k8_group_1(B,k2_polynom2(A,B,H,D),k2_polynom2(A,B,C,D)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(I,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k4_card_1(k3_polynom1(k15_pre_poly(A),B,I)) = F => k2_polynom2(A,B,k11_polynom1(A,B,I,C),D) = k8_group_1(B,k2_polynom2(A,B,I,D),k2_polynom2(A,B,C,D)) ) ) ) ) ) )).
fof(s2_nat_1__e6_38__prob_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m2_prob_1(D,A,B) ) => ( ( k1_funct_1(k8_prob_1(A,B,k2_prob_3(A,C),D),k5_numbers) = k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k8_prob_1(A,B,k2_prob_3(A,C),D),E) = k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),E) => k1_funct_1(k8_prob_1(A,B,k2_prob_3(A,C),D),k1_nat_1(E,1)) = k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),k1_nat_1(E,1)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k8_prob_1(A,B,k2_prob_3(A,C),D),E) = k1_funct_1(k3_series_1(k8_prob_1(A,B,C,D)),E) ) ) ) )).
fof(s2_nat_1__e6_39_11_1__frechet2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & m1_subset_1(B,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,C)) => ~ r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,C)) ) ) ) )).
fof(s2_nat_1__e6_39_4__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))))) & v7_ordinal1(C) ) => ( ( ( r1_xxreal_0(C,k5_numbers) => r1_tarski(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,k5_numbers)) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(C,D) => r1_tarski(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,D)) ) => ( r1_xxreal_0(C,k1_nat_1(D,1)) => r1_tarski(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,k1_nat_1(D,1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => r1_tarski(k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,C),k8_nat_1(k1_zfmisc_1(k3_cqc_lang(A)),B,D)) ) ) ) ) )).
fof(s2_nat_1__e6_3__fintopo4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k4_ordinal1) ) => ( ( r1_tarski(k3_fintopo3(A,B,C),k3_fintopo3(A,B,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k3_fintopo3(A,B,C),k3_fintopo3(A,B,k2_xcmplx_0(C,D))) => r1_tarski(k3_fintopo3(A,B,C),k3_fintopo3(A,B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k3_fintopo3(A,B,C),k3_fintopo3(A,B,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e6_40__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),D)) => r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,C),D)) ) ) ) )).
fof(s2_nat_1__e6_41_1_1_2_1__gr_cy_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,u1_struct_0(k4_gr_cy_1(A))) ) => ( ( k5_group_1(k4_gr_cy_1(A),B,k5_numbers) = k4_nat_d(k5_numbers,A) & ! [C] : ( v7_ordinal1(C) => ( k5_group_1(k4_gr_cy_1(A),B,C) = k4_nat_d(C,A) => k5_group_1(k4_gr_cy_1(A),B,k1_nat_1(C,1)) = k4_nat_d(k1_nat_1(C,1),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k5_group_1(k4_gr_cy_1(A),B,C) = k4_nat_d(C,A) ) ) ) )).
fof(s2_nat_1__e6_41__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) ) => ( ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,k5_numbers))))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,k5_numbers)))) & ! [D] : ( v7_ordinal1(D) => ( ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,D))))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,D)))) ) => ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,k1_nat_1(D,1)))))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,k1_nat_1(D,1))))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,D))))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k2_xcmplx_0(C,D)))) ) ) ) ) )).
fof(s2_nat_1__e6_41__pepin,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ~ ( r1_nat_d(A,k1_newton(B,k5_numbers)) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( A = k1_newton(B,C) & r1_xxreal_0(C,k5_numbers) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_nat_d(A,k1_newton(B,D)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( A = k1_newton(B,E) & r1_xxreal_0(E,D) ) ) ) => ~ ( r1_nat_d(A,k1_newton(B,k1_nat_1(D,1))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( A = k1_newton(B,F) & r1_xxreal_0(F,k1_nat_1(D,1)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_nat_d(A,k1_newton(B,D)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( A = k1_newton(B,G) & r1_xxreal_0(G,D) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_42__entropy1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(B,k3_finseq_2(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(B)) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(B)) & r1_xxreal_0(C,k5_numbers) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(k1_matrprob(A,B,C))) => k1_funct_1(k1_matrprob(A,B,C),D) = k1_funct_1(k1_matrprob(A,B,k5_numbers),D) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(B)) & r1_xxreal_0(F,E) ) => ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(k1_matrprob(A,B,F))) => k1_funct_1(k1_matrprob(A,B,F),G) = k1_funct_1(k1_matrprob(A,B,E),G) ) ) ) ) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(B)) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k4_finseq_1(B)) & r1_xxreal_0(H,k1_nat_1(E,1)) ) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(k1_matrprob(A,B,H))) => k1_funct_1(k1_matrprob(A,B,H),I) = k1_funct_1(k1_matrprob(A,B,k1_nat_1(E,1)),I) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(J,k4_finseq_1(B)) & r1_xxreal_0(J,E) ) => ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(k1_matrprob(A,B,J))) => k1_funct_1(k1_matrprob(A,B,J),K) = k1_funct_1(k1_matrprob(A,B,E),K) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_42__pepin,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( k4_nat_d(k1_newton(A,k5_numbers),B) = 1 & ! [C] : ( v7_ordinal1(C) => ( k4_nat_d(k1_newton(A,C),B) = 1 => k4_nat_d(k1_newton(A,k1_nat_1(C,1)),B) = 1 ) ) ) => ! [C] : ( v7_ordinal1(C) => k4_nat_d(k1_newton(A,C),B) = 1 ) ) ) )).
fof(s2_nat_1__e6_44__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_lexbfs(B,A) & m1_lexbfs(B,A) & v7_ordinal1(C) ) => ( ( r1_relset_1(k6_glib_000(A),k4_ordinal1,k5_lexbfs(A,B,C),k5_lexbfs(A,B,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_relset_1(k6_glib_000(A),k4_ordinal1,k5_lexbfs(A,B,C),k5_lexbfs(A,B,k2_xcmplx_0(C,D))) => r1_relset_1(k6_glib_000(A),k4_ordinal1,k5_lexbfs(A,B,C),k5_lexbfs(A,B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_relset_1(k6_glib_000(A),k4_ordinal1,k5_lexbfs(A,B,C),k5_lexbfs(A,B,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e6_45__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( ( r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers)),k21_glib_000(A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers))))) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k21_glib_000(A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))))) => r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(C,1))),k21_glib_000(A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(C,1)))))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k21_glib_000(A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))))) ) ) ) )).
fof(s2_nat_1__e6_45__scmpds_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,k5_numbers) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,k5_numbers) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,D) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,D) ) => ( r1_xxreal_0(k1_nat_1(D,1),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,k1_nat_1(D,1)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,k1_nat_1(D,1)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,D) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,D) ) ) ) ) )).
fof(s2_nat_1__e6_46_1__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),B,C),k1_binop_1(k3_dblseq_2(A),k2_xcmplx_0(B,k5_numbers),C)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),B,C),k1_binop_1(k3_dblseq_2(A),k2_xcmplx_0(B,E),C)) ) => ( r1_xxreal_0(k1_nat_1(E,1),D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),B,C),k1_binop_1(k3_dblseq_2(A),k2_xcmplx_0(B,k1_nat_1(E,1)),C)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => r1_xxreal_0(k1_binop_1(k3_dblseq_2(A),B,C),k1_binop_1(k3_dblseq_2(A),k2_xcmplx_0(B,E),C)) ) ) ) ) )).
fof(s2_nat_1__e6_46_2__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),B,C),k1_binop_1(k2_dblseq_2(A),B,k2_xcmplx_0(C,k5_numbers))) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,D) => r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),B,C),k1_binop_1(k2_dblseq_2(A),B,k2_xcmplx_0(C,E))) ) => ( r1_xxreal_0(k1_nat_1(E,1),D) => r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),B,C),k1_binop_1(k2_dblseq_2(A),B,k2_xcmplx_0(C,k1_nat_1(E,1)))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => r1_xxreal_0(k1_binop_1(k2_dblseq_2(A),B,C),k1_binop_1(k2_dblseq_2(A),B,k2_xcmplx_0(C,E))) ) ) ) ) )).
fof(s2_nat_1__e6_46__groeb_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [D] : ( m1_ideal_1(D,A,B) => ( k3_finseq_1(D) = k5_numbers => ! [E] : ~ ( E = k4_rlvect_1(A,D) & ! [F] : ( m1_ideal_1(F,A,C) => E != k4_rlvect_1(A,F) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_ideal_1(H,A,B) => ( k3_finseq_1(H) = G => ! [I] : ~ ( I = k4_rlvect_1(A,H) & ! [J] : ( m1_ideal_1(J,A,C) => I != k4_rlvect_1(A,J) ) ) ) ) => ! [K] : ( m1_ideal_1(K,A,B) => ( k3_finseq_1(K) = k1_nat_1(G,1) => ! [L] : ~ ( L = k4_rlvect_1(A,K) & ! [M] : ( m1_ideal_1(M,A,C) => L != k4_rlvect_1(A,M) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( m1_ideal_1(N,A,B) => ( k3_finseq_1(N) = G => ! [O] : ~ ( O = k4_rlvect_1(A,N) & ! [P] : ( m1_ideal_1(P,A,C) => O != k4_rlvect_1(A,P) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_47_1__comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( k8_nat_1(k2_numbers,k10_comseq_3(k1_comseq_3(A)),k5_numbers) = k7_xcmplx_0(k6_xcmplx_0(k6_complex1,k2_comseq_3(A,k1_nat_1(k5_numbers,1))),k6_xcmplx_0(k6_complex1,A)) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k2_numbers,k10_comseq_3(k1_comseq_3(A)),B) = k7_xcmplx_0(k6_xcmplx_0(k6_complex1,k2_comseq_3(A,k1_nat_1(B,1))),k6_xcmplx_0(k6_complex1,A)) => k8_nat_1(k2_numbers,k10_comseq_3(k1_comseq_3(A)),k1_nat_1(B,1)) = k7_xcmplx_0(k6_xcmplx_0(k6_complex1,k2_comseq_3(A,k1_nat_1(k1_nat_1(B,1),1))),k6_xcmplx_0(k6_complex1,A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,k10_comseq_3(k1_comseq_3(A)),B) = k7_xcmplx_0(k6_xcmplx_0(k6_complex1,k2_comseq_3(A,k1_nat_1(B,1))),k6_xcmplx_0(k6_complex1,A)) ) ) ) )).
fof(s2_nat_1__e6_47__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(D) ) => ( ( ( r1_xxreal_0(D,k5_numbers) => r1_tarski(k7_flang_1(A,k4_subset_1(k8_afinsq_1(A),C,B),k5_numbers),k1_flang_3(A,C,D)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,E) => r1_tarski(k7_flang_1(A,k4_subset_1(k8_afinsq_1(A),C,B),E),k1_flang_3(A,C,D)) ) => ( r1_xxreal_0(D,k1_nat_1(E,1)) => r1_tarski(k7_flang_1(A,k4_subset_1(k8_afinsq_1(A),C,B),k1_nat_1(E,1)),k1_flang_3(A,C,D)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(D,E) => r1_tarski(k7_flang_1(A,k4_subset_1(k8_afinsq_1(A),C,B),E),k1_flang_3(A,C,D)) ) ) ) ) )).
fof(s2_nat_1__e6_47__fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_fvaluat1(C,A) ) => ( ( k3_funct_2(u1_struct_0(A),k6_numbers,C,k3_fvaluat1(A,B,k5_numbers)) = k4_xxreal_3(k5_numbers,k3_funct_2(u1_struct_0(A),k6_numbers,C,B)) & ! [D] : ( v7_ordinal1(D) => ( k3_funct_2(u1_struct_0(A),k6_numbers,C,k3_fvaluat1(A,B,D)) = k4_xxreal_3(D,k3_funct_2(u1_struct_0(A),k6_numbers,C,B)) => k3_funct_2(u1_struct_0(A),k6_numbers,C,k3_fvaluat1(A,B,k1_nat_1(D,1))) = k4_xxreal_3(k1_nat_1(D,1),k3_funct_2(u1_struct_0(A),k6_numbers,C,B)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_funct_2(u1_struct_0(A),k6_numbers,C,k3_fvaluat1(A,B,D)) = k4_xxreal_3(D,k3_funct_2(u1_struct_0(A),k6_numbers,C,B)) ) ) ) )).
fof(s2_nat_1__e6_47__topdim_1,axiom,( ( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r1_borsuk_3(A,B) & v3_topdim_1(A) & r1_xxreal_0(k4_topdim_1(A),k5_numbers) ) => ( v3_topdim_1(B) & r1_xxreal_0(k4_topdim_1(B),k4_topdim_1(A)) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v2_pre_topc(E) & l1_pre_topc(E) ) => ( ( r1_borsuk_3(D,E) & v3_topdim_1(D) & r1_xxreal_0(k4_topdim_1(D),C) ) => ( v3_topdim_1(E) & r1_xxreal_0(k4_topdim_1(E),k4_topdim_1(D)) ) ) ) ) => ! [F] : ( ( v2_pre_topc(F) & l1_pre_topc(F) ) => ! [G] : ( ( v2_pre_topc(G) & l1_pre_topc(G) ) => ( ( r1_borsuk_3(F,G) & v3_topdim_1(F) & r1_xxreal_0(k4_topdim_1(F),k1_nat_1(C,1)) ) => ( v3_topdim_1(G) & r1_xxreal_0(k4_topdim_1(G),k4_topdim_1(F)) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v2_pre_topc(H) & l1_pre_topc(H) ) => ! [I] : ( ( v2_pre_topc(I) & l1_pre_topc(I) ) => ( ( r1_borsuk_3(H,I) & v3_topdim_1(H) & r1_xxreal_0(k4_topdim_1(H),C) ) => ( v3_topdim_1(I) & r1_xxreal_0(k4_topdim_1(I),k4_topdim_1(H)) ) ) ) ) ) )).
fof(s2_nat_1__e6_48__comseq_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_xcmplx_0(B) ) => ( ( k8_nat_1(k2_numbers,A,k5_numbers) = k3_xcmplx_0(k8_nat_1(k2_numbers,A,k5_numbers),k8_nat_1(k2_numbers,k1_comseq_3(B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k2_numbers,A,C) = k3_xcmplx_0(k8_nat_1(k2_numbers,A,k5_numbers),k8_nat_1(k2_numbers,k1_comseq_3(B),C)) => k8_nat_1(k2_numbers,A,k1_nat_1(C,1)) = k3_xcmplx_0(k8_nat_1(k2_numbers,A,k5_numbers),k8_nat_1(k2_numbers,k1_comseq_3(B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,A,C) = k3_xcmplx_0(k8_nat_1(k2_numbers,A,k5_numbers),k8_nat_1(k2_numbers,k1_comseq_3(B),C)) ) ) ) )).
fof(s2_nat_1__e6_49_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & v1_prob_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k5_numbers) = k8_nat_1(k6_numbers,k11_measure8(A,B,k2_prob_3(A,D),C),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k8_nat_1(k6_numbers,k11_measure8(A,B,k2_prob_3(A,D),C),F) => k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),k1_nat_1(F,1)) = k8_nat_1(k6_numbers,k11_measure8(A,B,k2_prob_3(A,D),C),k1_nat_1(F,1)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k8_nat_1(k6_numbers,k16_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)),F) = k8_nat_1(k6_numbers,k11_measure8(A,B,k2_prob_3(A,D),C),F) ) ) ) )).
fof(s2_nat_1__e6_49__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => ( ( r1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),k5_numbers),B,C) & ! [D] : ( v7_ordinal1(D) => ( r1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),D),B,C) => r1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),k1_nat_1(D,1)),B,C) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),D),B,C) ) ) ) )).
fof(s2_nat_1__e6_49__groupp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( ( ! [E] : ( v7_ordinal1(E) => k5_group_1(B,k6_algstr_0(B,C,D),k1_newton(A,k5_numbers)) = k6_algstr_0(B,k5_group_1(B,C,k1_newton(A,k5_numbers)),k5_group_1(B,D,k1_newton(A,k5_numbers))) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => k5_group_1(B,k6_algstr_0(B,C,D),k1_newton(A,F)) = k6_algstr_0(B,k5_group_1(B,C,k1_newton(A,F)),k5_group_1(B,D,k1_newton(A,F))) ) => ! [H] : ( v7_ordinal1(H) => k5_group_1(B,k6_algstr_0(B,C,D),k1_newton(A,k1_nat_1(F,1))) = k6_algstr_0(B,k5_group_1(B,C,k1_newton(A,k1_nat_1(F,1))),k5_group_1(B,D,k1_newton(A,k1_nat_1(F,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => k5_group_1(B,k6_algstr_0(B,C,D),k1_newton(A,F)) = k6_algstr_0(B,k5_group_1(B,C,k1_newton(A,F)),k5_group_1(B,D,k1_newton(A,F))) ) ) ) ) )).
fof(s2_nat_1__e6_4__fintopo4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k4_ordinal1) ) => ( ( r1_tarski(k9_fintopo3(A,B,k2_xcmplx_0(C,k5_numbers)),k9_fintopo3(A,B,C)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k9_fintopo3(A,B,k2_xcmplx_0(C,D)),k9_fintopo3(A,B,C)) => r1_tarski(k9_fintopo3(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))),k9_fintopo3(A,B,C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k9_fintopo3(A,B,k2_xcmplx_0(C,D)),k9_fintopo3(A,B,C)) ) ) ) )).
fof(s2_nat_1__e6_50__poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( ! [F] : ( m1_subset_1(F,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,F),k5_numbers) => k3_funct_2(A,B,C,F) = k3_funct_2(A,B,D,F) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,H),G) => k3_funct_2(A,B,C,H) = k3_funct_2(A,B,D,H) ) ) => ! [I] : ( m1_subset_1(I,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,I),k1_nat_1(G,1)) => k3_funct_2(A,B,C,I) = k3_funct_2(A,B,D,I) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m1_subset_1(J,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,J),G) => k3_funct_2(A,B,C,J) = k3_funct_2(A,B,D,J) ) ) ) ) ) )).
fof(s2_nat_1__e6_51_1_1_2_1_1_2_1_1_2__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_graph_1(C,A) & m2_finseq_1(D,u1_struct_0(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(C)) => ( k7_partfun1(u1_struct_0(A),D,k5_numbers) != k7_partfun1(u1_struct_0(A),B,k5_numbers) & k7_partfun1(u1_struct_0(A),D,k1_nat_1(k5_numbers,1)) != k7_partfun1(u1_struct_0(A),B,k1_nat_1(k5_numbers,1)) & ( ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,k5_numbers)) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,k5_numbers)) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) ) | ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,k5_numbers)) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,k5_numbers)) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) => ( k7_partfun1(u1_struct_0(A),D,E) != k7_partfun1(u1_struct_0(A),B,E) & k7_partfun1(u1_struct_0(A),D,k1_nat_1(E,1)) != k7_partfun1(u1_struct_0(A),B,k1_nat_1(E,1)) & ( ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) ) | ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) ) ) ) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(C)) => ( k7_partfun1(u1_struct_0(A),D,k1_nat_1(E,1)) != k7_partfun1(u1_struct_0(A),B,k1_nat_1(E,1)) & k7_partfun1(u1_struct_0(A),D,k1_nat_1(k1_nat_1(E,1),1)) != k7_partfun1(u1_struct_0(A),B,k1_nat_1(k1_nat_1(E,1),1)) & ( ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,k1_nat_1(E,1))) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,k1_nat_1(E,1))) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) ) | ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,k1_nat_1(E,1))) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,k1_nat_1(E,1))) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => ( k7_partfun1(u1_struct_0(A),D,E) != k7_partfun1(u1_struct_0(A),B,E) & k7_partfun1(u1_struct_0(A),D,k1_nat_1(E,1)) != k7_partfun1(u1_struct_0(A),B,k1_nat_1(E,1)) & ( ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) ) | ( k1_funct_1(u2_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) & k1_funct_1(u1_graph_1(A),k1_funct_1(C,E)) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_51__nat_4,axiom,( ( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ! [D] : ( m1_trees_4(D,k4_ordinal1,k8_newton) => ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => ( ( r1_tarski(C,k8_newton) & r1_tarski(C,k2_finseq_1(B)) & D = k14_finseq_1(C) & A = k2_wsierp_1(D) & k3_finseq_1(D) = k5_numbers ) => ( ( r2_tarski(E,k1_rvsum_1(D)) => k11_nat_3(A,E) = 1 ) & ( ~ r2_tarski(E,k1_rvsum_1(D)) => k11_nat_3(A,E) = k5_numbers ) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ! [J] : ( m1_trees_4(J,k4_ordinal1,k8_newton) => ! [K] : ( ( v7_ordinal1(K) & v1_int_2(K) ) => ( ( r1_tarski(I,k8_newton) & r1_tarski(I,k2_finseq_1(H)) & J = k14_finseq_1(I) & G = k2_wsierp_1(J) & k3_finseq_1(J) = F ) => ( ( r2_tarski(K,k1_rvsum_1(J)) => k11_nat_3(G,K) = 1 ) & ( ~ r2_tarski(K,k1_rvsum_1(J)) => k11_nat_3(G,K) = k5_numbers ) ) ) ) ) ) ) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ! [M] : ( m1_subset_1(M,k4_ordinal1) => ! [N] : ! [O] : ( m1_trees_4(O,k4_ordinal1,k8_newton) => ! [P] : ( ( v7_ordinal1(P) & v1_int_2(P) ) => ( ( r1_tarski(N,k8_newton) & r1_tarski(N,k2_finseq_1(M)) & O = k14_finseq_1(N) & L = k2_wsierp_1(O) & k3_finseq_1(O) = k1_nat_1(F,1) ) => ( ( r2_tarski(P,k1_rvsum_1(O)) => k11_nat_3(L,P) = 1 ) & ( ~ r2_tarski(P,k1_rvsum_1(O)) => k11_nat_3(L,P) = k5_numbers ) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ! [R] : ( m1_subset_1(R,k4_ordinal1) => ! [S] : ! [T] : ( m1_trees_4(T,k4_ordinal1,k8_newton) => ! [U] : ( ( v7_ordinal1(U) & v1_int_2(U) ) => ( ( r1_tarski(S,k8_newton) & r1_tarski(S,k2_finseq_1(R)) & T = k14_finseq_1(S) & Q = k2_wsierp_1(T) & k3_finseq_1(T) = F ) => ( ( r2_tarski(U,k1_rvsum_1(T)) => k11_nat_3(Q,U) = 1 ) & ( ~ r2_tarski(U,k1_rvsum_1(T)) => k11_nat_3(Q,U) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_52__facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v3_circcomb(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & v3_circcomb(B) & l1_msualg_1(B) & v4_msafree2(C,A) & v4_circcomb(C,A) & v6_circcomb(C,A) & l3_msualg_1(C,A) & v4_msafree2(D,B) & v4_circcomb(D,B) & v6_circcomb(D,B) & l3_msualg_1(D,B) & m1_subset_1(E,k4_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)))) & m1_subset_1(F,k4_card_3(u3_msualg_1(A,C))) ) => ( ( k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,k5_numbers),u1_struct_0(A)) = k5_facirc_1(A,C,F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ( k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,G),u1_struct_0(A)) = k5_facirc_1(A,C,F,G) => k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,k1_nat_1(G,1)),u1_struct_0(A)) = k5_facirc_1(A,C,F,k1_nat_1(G,1)) ) ) ) => ! [G] : ( v7_ordinal1(G) => k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,G),u1_struct_0(A)) = k5_facirc_1(A,C,F,G) ) ) ) )).
fof(s2_nat_1__e6_52__scmbsort,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k1_nat_1(1,1))) = k5_numbers & r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(1,1)))) | ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(C,k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),A,B),k5_scmfsa_2(k5_numbers)),C) ) ) ) & ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(C,k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1)))) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1))),k5_numbers),C) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),A,B),k5_scmfsa_2(k5_numbers)),C) = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(2,1)))) ) ) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( k1_funct_1(E,k4_scmfsa_2(k1_nat_1(1,1))) = D & r1_xxreal_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),k1_funct_1(E,k4_scmfsa_2(k1_nat_1(1,1)))) | ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k3_finseq_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(G,k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)),G) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),E,F),k5_scmfsa_2(k5_numbers)),G) ) ) ) & ? [G] : ( v7_ordinal1(G) & r1_xxreal_0(G,k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1)))) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1))),D),G) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),E,F),k5_scmfsa_2(k5_numbers)),G) = k1_funct_1(k18_scmfsa_2(E,k5_scmfsa_2(k5_numbers)),k1_funct_1(E,k4_scmfsa_2(k1_nat_1(2,1)))) ) ) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( k1_funct_1(H,k4_scmfsa_2(k1_nat_1(1,1))) = k1_nat_1(D,1) & r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k1_funct_1(H,k4_scmfsa_2(k1_nat_1(1,1)))) | ( ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(J,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),J) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),H,I),k5_scmfsa_2(k5_numbers)),J) ) ) ) & ? [J] : ( v7_ordinal1(J) & r1_xxreal_0(J,k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1))),k1_nat_1(D,1)),J) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),H,I),k5_scmfsa_2(k5_numbers)),J) = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k1_funct_1(H,k4_scmfsa_2(k1_nat_1(2,1)))) ) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(K,u1_struct_0(k1_scmfsa_2)) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( ( k1_funct_1(K,k4_scmfsa_2(k1_nat_1(1,1))) = D & r1_xxreal_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),k3_finseq_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),k1_funct_1(K,k4_scmfsa_2(k1_nat_1(1,1)))) | ( ! [M] : ( v7_ordinal1(M) => ( r1_xxreal_0(M,k3_finseq_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)))) => ( r1_xxreal_0(M,k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1)))) | k1_funct_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)),M) = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),K,L),k5_scmfsa_2(k5_numbers)),M) ) ) ) & ? [M] : ( v7_ordinal1(M) & r1_xxreal_0(M,k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1)))) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1))),D),M) & k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(4,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers)),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(3,1)),k5_scmfsa_2(k5_numbers))),k4_compos_1(k1_scmfsa_2)))),K,L),k5_scmfsa_2(k5_numbers)),M) = k1_funct_1(k18_scmfsa_2(K,k5_scmfsa_2(k5_numbers)),k1_funct_1(K,k4_scmfsa_2(k1_nat_1(2,1)))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_53_1_2__scmisort,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k5_numbers & r1_xxreal_0(k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),1)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers))),k1_funct_1(A,k4_scmfsa_2(k1_nat_1(k5_numbers,1))))) ) => ( r1_xxreal_0(D,C) | ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ( ( E = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),C) & F = k1_funct_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),D) ) => r1_xxreal_0(F,E) ) ) ) ) ) ) ) ) => ( r2_classes1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),A,B),k5_scmfsa_2(k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(D,k3_finseq_1(k18_scmfsa_2(A,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(D,C) | ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ( ( E = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),A,B),k5_scmfsa_2(k5_numbers)),C) & F = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),A,B),k5_scmfsa_2(k5_numbers)),D) ) => r1_xxreal_0(F,E) ) ) ) ) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( k1_funct_1(H,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = G & r1_xxreal_0(k1_funct_1(H,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers))),1)) & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(K,k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers))),k1_funct_1(H,k4_scmfsa_2(k1_nat_1(k5_numbers,1))))) ) => ( r1_xxreal_0(K,J) | ! [L] : ( v1_int_1(L) => ! [M] : ( v1_int_1(M) => ( ( L = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),J) & M = k1_funct_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),K) ) => r1_xxreal_0(M,L) ) ) ) ) ) ) ) ) => ( r2_classes1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),H,I),k5_scmfsa_2(k5_numbers))) & ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(K,k3_finseq_1(k18_scmfsa_2(H,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(K,J) | ! [L] : ( v1_int_1(L) => ! [M] : ( v1_int_1(M) => ( ( L = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),H,I),k5_scmfsa_2(k5_numbers)),J) & M = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),H,I),k5_scmfsa_2(k5_numbers)),K) ) => r1_xxreal_0(M,L) ) ) ) ) ) ) ) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(N,u1_struct_0(k1_scmfsa_2)) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,k4_ordinal1) & v5_relat_1(O,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(O) & v1_partfun1(O,k4_ordinal1) ) => ( ( k1_funct_1(N,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = k1_nat_1(G,1) & r1_xxreal_0(k1_funct_1(N,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers))),1)) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( r1_xxreal_0(1,P) & r1_xxreal_0(Q,k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers))),k1_funct_1(N,k4_scmfsa_2(k1_nat_1(k5_numbers,1))))) ) => ( r1_xxreal_0(Q,P) | ! [R] : ( v1_int_1(R) => ! [S] : ( v1_int_1(S) => ( ( R = k1_funct_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)),P) & S = k1_funct_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)),Q) ) => r1_xxreal_0(S,R) ) ) ) ) ) ) ) ) => ( r2_classes1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),N,O),k5_scmfsa_2(k5_numbers))) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( r1_xxreal_0(1,P) & r1_xxreal_0(Q,k3_finseq_1(k18_scmfsa_2(N,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(Q,P) | ! [R] : ( v1_int_1(R) => ! [S] : ( v1_int_1(S) => ( ( R = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),N,O),k5_scmfsa_2(k5_numbers)),P) & S = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),N,O),k5_scmfsa_2(k5_numbers)),Q) ) => r1_xxreal_0(S,R) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [T] : ( ( v1_relat_1(T) & v4_relat_1(T,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(T) & v5_funct_1(T,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(T,u1_struct_0(k1_scmfsa_2)) ) => ! [U] : ( ( v1_relat_1(U) & v4_relat_1(U,k4_ordinal1) & v5_relat_1(U,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(U) & v1_partfun1(U,k4_ordinal1) ) => ( ( k1_funct_1(T,k4_scmfsa_2(k1_nat_1(k5_numbers,1))) = G & r1_xxreal_0(k1_funct_1(T,k4_scmfsa_2(k1_nat_1(k5_numbers,1))),k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers))),1)) & ! [V] : ( v7_ordinal1(V) => ! [W] : ( v7_ordinal1(W) => ( ( r1_xxreal_0(1,V) & r1_xxreal_0(W,k6_xcmplx_0(k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers))),k1_funct_1(T,k4_scmfsa_2(k1_nat_1(k5_numbers,1))))) ) => ( r1_xxreal_0(W,V) | ! [X] : ( v1_int_1(X) => ! [Y] : ( v1_int_1(Y) => ( ( X = k1_funct_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)),V) & Y = k1_funct_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)),W) ) => r1_xxreal_0(Y,X) ) ) ) ) ) ) ) ) => ( r2_classes1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)),k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),T,U),k5_scmfsa_2(k5_numbers))) & ! [V] : ( v7_ordinal1(V) => ! [W] : ( v7_ordinal1(W) => ( ( r1_xxreal_0(1,V) & r1_xxreal_0(W,k3_finseq_1(k18_scmfsa_2(T,k5_scmfsa_2(k5_numbers)))) ) => ( r1_xxreal_0(W,V) | ! [X] : ( v1_int_1(X) => ! [Y] : ( v1_int_1(Y) => ( ( X = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),T,U),k5_scmfsa_2(k5_numbers)),V) & Y = k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(k5_numbers,1)),k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(k5_numbers,1)))),k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k1_nat_1(3,1)))),k4_scmfsa_x(k4_scmfsa_2(k1_nat_1(1,1)),k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(5,1)))),k2_scmfsa8b(k4_scmfsa_2(k1_nat_1(4,1)),k11_compos_1(k1_scmfsa_2,k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(1,1)))),k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k5_numbers))))))),k1_scmfsa8c(k4_scmfsa_2(k1_nat_1(3,1)),k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(k1_nat_1(1,1)),k4_scmfsa_2(k1_nat_1(2,1))),k8_scmfsa_2(k4_scmfsa_2(k1_nat_1(2,1)),k4_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k14_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(5,1)),k4_scmfsa_2(k1_nat_1(1,1)),k5_scmfsa_2(k5_numbers))),k15_scmfsa_2(k4_scmfsa_2(k1_nat_1(4,1)),k4_scmfsa_2(k1_nat_1(2,1)),k5_scmfsa_2(k5_numbers)))))),T,U),k5_scmfsa_2(k5_numbers)),W) ) => r1_xxreal_0(Y,X) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_53_2_1_1_1_1_1__seqm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k1_numbers) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_xreal_0(E) => ~ ( D = k5_numbers & ~ r1_xxreal_0(D,k5_numbers) & r2_tarski(k2_xcmplx_0(B,D),k4_finseq_1(A)) & E = k1_funct_1(A,k2_xcmplx_0(B,D)) & r1_xxreal_0(C,E) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ! [H] : ( v1_xreal_0(H) => ~ ( G = F & ~ r1_xxreal_0(G,k5_numbers) & r2_tarski(k2_xcmplx_0(B,G),k4_finseq_1(A)) & H = k1_funct_1(A,k2_xcmplx_0(B,G)) & r1_xxreal_0(C,H) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v1_xreal_0(J) => ~ ( I = k1_nat_1(F,1) & ~ r1_xxreal_0(I,k5_numbers) & r2_tarski(k2_xcmplx_0(B,I),k4_finseq_1(A)) & J = k1_funct_1(A,k2_xcmplx_0(B,I)) & r1_xxreal_0(C,J) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v1_xreal_0(L) => ~ ( K = F & ~ r1_xxreal_0(K,k5_numbers) & r2_tarski(k2_xcmplx_0(B,K),k4_finseq_1(A)) & L = k1_funct_1(A,k2_xcmplx_0(B,K)) & r1_xxreal_0(C,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_53__facirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v3_circcomb(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & v3_circcomb(B) & l1_msualg_1(B) & v4_msafree2(C,A) & v4_circcomb(C,A) & v6_circcomb(C,A) & l3_msualg_1(C,A) & v4_msafree2(D,B) & v4_circcomb(D,B) & v6_circcomb(D,B) & l3_msualg_1(D,B) & m1_subset_1(E,k4_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)))) & m1_subset_1(F,k4_card_3(u3_msualg_1(B,D))) ) => ( ( k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,k5_numbers),u1_struct_0(B)) = k5_facirc_1(B,D,F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ( k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,G),u1_struct_0(B)) = k5_facirc_1(B,D,F,G) => k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,k1_nat_1(G,1)),u1_struct_0(B)) = k5_facirc_1(B,D,F,k1_nat_1(G,1)) ) ) ) => ! [G] : ( v7_ordinal1(G) => k11_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D)),k5_facirc_1(k2_circcomb(A,B),k3_circcomb(A,B,C,D),E,G),u1_struct_0(B)) = k5_facirc_1(B,D,F,G) ) ) ) )).
fof(s2_nat_1__e6_54__real_3,axiom,( ( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,B) => k8_nat_1(k1_numbers,k4_real_3(A),B) = k5_numbers ) ) => v1_rat_1(A) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v1_xreal_0(D) => ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(C,E) => k8_nat_1(k1_numbers,k4_real_3(D),E) = k5_numbers ) ) => v1_rat_1(D) ) ) => ! [F] : ( v1_xreal_0(F) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k1_nat_1(C,1),G) => k8_nat_1(k1_numbers,k4_real_3(F),G) = k5_numbers ) ) => v1_rat_1(F) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( v1_xreal_0(H) => ( ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(C,I) => k8_nat_1(k1_numbers,k4_real_3(H),I) = k5_numbers ) ) => v1_rat_1(H) ) ) ) )).
fof(s2_nat_1__e6_54__stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u4_struct_0(A)))) ) => ( ( r2_tarski(k8_nat_1(u4_struct_0(A),C,k5_numbers),k11_stacks_1(A,B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k8_nat_1(u4_struct_0(A),C,D),k11_stacks_1(A,B)) => r2_tarski(k8_nat_1(u4_struct_0(A),C,k1_nat_1(D,1)),k11_stacks_1(A,B)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_tarski(k8_nat_1(u4_struct_0(A),C,D),k11_stacks_1(A,B)) ) ) ) )).
fof(s2_nat_1__e6_54__supinf_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k5_numbers),k12_supinf_2(k16_supinf_2(B),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),C),k12_supinf_2(k16_supinf_2(B),C)) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k1_nat_1(C,1)),k12_supinf_2(k16_supinf_2(B),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),C),k12_supinf_2(k16_supinf_2(B),C)) ) ) ) )).
fof(s2_nat_1__e6_54__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),C),k5_numbers),k4_matrlin(A,B,B,k3_struct_0(B),k1_laplace(A,k4_group_1(A),C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),C),D),k4_matrlin(A,B,B,k3_struct_0(B),k1_laplace(A,k4_group_1(A),C,D))) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),C),k1_nat_1(D,1)),k4_matrlin(A,B,B,k3_struct_0(B),k1_laplace(A,k4_group_1(A),C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),C),D),k4_matrlin(A,B,B,k3_struct_0(B),k1_laplace(A,k4_group_1(A),C,D))) ) ) ) )).
fof(s2_nat_1__e6_56__series_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k3_real_1(k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers),k8_nat_1(k1_numbers,k1_series_3(B),k5_numbers)),k8_nat_1(k1_numbers,k1_series_3(k1_series_1(k1_numbers,A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k3_real_1(k8_nat_1(k1_numbers,k1_series_3(A),C),k8_nat_1(k1_numbers,k1_series_3(B),C)),k8_nat_1(k1_numbers,k1_series_3(k1_series_1(k1_numbers,A,B)),C)) => r1_xxreal_0(k3_real_1(k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(C,1)),k8_nat_1(k1_numbers,k1_series_3(B),k1_nat_1(C,1))),k8_nat_1(k1_numbers,k1_series_3(k1_series_1(k1_numbers,A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k3_real_1(k8_nat_1(k1_numbers,k1_series_3(A),C),k8_nat_1(k1_numbers,k1_series_3(B),C)),k8_nat_1(k1_numbers,k1_series_3(k1_series_1(k1_numbers,A,B)),C)) ) ) ) )).
fof(s2_nat_1__e6_58__rlvect_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(C) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & F = k1_funct_1(D,E) ) => k1_funct_1(C,E) = k1_rlvect_1(B,F,A) ) ) ) ) => k4_rlvect_1(B,C) = k1_rlvect_1(B,k4_rlvect_1(B,D),A) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(B)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ( ( k3_finseq_1(H) = k3_finseq_1(I) & k3_finseq_1(H) = G & ! [J] : ( v7_ordinal1(J) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( r2_tarski(J,k2_finseq_1(k3_finseq_1(H))) & K = k1_funct_1(I,J) ) => k1_funct_1(H,J) = k1_rlvect_1(B,K,A) ) ) ) ) => k4_rlvect_1(B,H) = k1_rlvect_1(B,k4_rlvect_1(B,I),A) ) ) ) => ! [L] : ( m2_finseq_1(L,u1_struct_0(B)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(B)) => ( ( k3_finseq_1(L) = k3_finseq_1(M) & k3_finseq_1(L) = k1_nat_1(G,1) & ! [N] : ( v7_ordinal1(N) => ! [O] : ( m1_subset_1(O,u1_struct_0(B)) => ( ( r2_tarski(N,k2_finseq_1(k3_finseq_1(L))) & O = k1_funct_1(M,N) ) => k1_funct_1(L,N) = k1_rlvect_1(B,O,A) ) ) ) ) => k4_rlvect_1(B,L) = k1_rlvect_1(B,k4_rlvect_1(B,M),A) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( m2_finseq_1(P,u1_struct_0(B)) => ! [Q] : ( m2_finseq_1(Q,u1_struct_0(B)) => ( ( k3_finseq_1(P) = k3_finseq_1(Q) & k3_finseq_1(P) = G & ! [R] : ( v7_ordinal1(R) => ! [S] : ( m1_subset_1(S,u1_struct_0(B)) => ( ( r2_tarski(R,k2_finseq_1(k3_finseq_1(P))) & S = k1_funct_1(Q,R) ) => k1_funct_1(P,R) = k1_rlvect_1(B,S,A) ) ) ) ) => k4_rlvect_1(B,P) = k1_rlvect_1(B,k4_rlvect_1(B,Q),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_58__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k5_numbers,k4_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(k5_numbers,1)))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k4_real_1(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1)))) => r1_xxreal_0(k5_numbers,k4_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k4_real_1(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_funct_2(k4_ordinal1,k1_numbers,A,k1_nat_1(B,1)))) ) ) ) )).
fof(s2_nat_1__e6_59__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & l1_unialg_1(A) & m1_freealg(B,A) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k9_aofa_000(A,B,k5_numbers)) => k3_funct_2(u1_struct_0(A),u1_struct_0(C),D,F) = k3_funct_2(u1_struct_0(A),u1_struct_0(C),E,F) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,k9_aofa_000(A,B,G)) => k3_funct_2(u1_struct_0(A),u1_struct_0(C),D,H) = k3_funct_2(u1_struct_0(A),u1_struct_0(C),E,H) ) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(I,k9_aofa_000(A,B,k1_nat_1(G,1))) => k3_funct_2(u1_struct_0(A),u1_struct_0(C),D,I) = k3_funct_2(u1_struct_0(A),u1_struct_0(C),E,I) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(J,k9_aofa_000(A,B,G)) => k3_funct_2(u1_struct_0(A),u1_struct_0(C),D,J) = k3_funct_2(u1_struct_0(A),u1_struct_0(C),E,J) ) ) ) ) ) )).
fof(s2_nat_1__e6_59__poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(G) & v1_funct_2(G,A,k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( ! [H] : ( m1_subset_1(H,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,G,H),k5_numbers) => ( k3_funct_2(A,B,C,H) = k3_funct_2(A,B,E,H) & k3_funct_2(A,B,D,H) = k3_funct_2(A,B,F,H) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,G,J),I) => ( k3_funct_2(A,B,C,J) = k3_funct_2(A,B,E,J) & k3_funct_2(A,B,D,J) = k3_funct_2(A,B,F,J) ) ) ) => ! [K] : ( m1_subset_1(K,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,G,K),k1_nat_1(I,1)) => ( k3_funct_2(A,B,C,K) = k3_funct_2(A,B,E,K) & k3_funct_2(A,B,D,K) = k3_funct_2(A,B,F,K) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [L] : ( m1_subset_1(L,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,G,L),I) => ( k3_funct_2(A,B,C,L) = k3_funct_2(A,B,E,L) & k3_funct_2(A,B,D,L) = k3_funct_2(A,B,F,L) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_59__rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k5_numbers & ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,k2_finseq_1(k3_finseq_1(B))) & E = k1_funct_1(C,D) ) => k1_funct_1(B,D) = k4_algstr_0(A,E) ) ) ) ) => k4_rlvect_1(A,B) = k4_algstr_0(A,k4_rlvect_1(A,C)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( k3_finseq_1(G) = k3_finseq_1(H) & k3_finseq_1(G) = F & ! [I] : ( v7_ordinal1(I) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r2_tarski(I,k2_finseq_1(k3_finseq_1(G))) & J = k1_funct_1(H,I) ) => k1_funct_1(G,I) = k4_algstr_0(A,J) ) ) ) ) => k4_rlvect_1(A,G) = k4_algstr_0(A,k4_rlvect_1(A,H)) ) ) ) => ! [K] : ( m2_finseq_1(K,u1_struct_0(A)) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ( ( k3_finseq_1(K) = k3_finseq_1(L) & k3_finseq_1(K) = k1_nat_1(F,1) & ! [M] : ( v7_ordinal1(M) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ( ( r2_tarski(M,k2_finseq_1(k3_finseq_1(K))) & N = k1_funct_1(L,M) ) => k1_funct_1(K,M) = k4_algstr_0(A,N) ) ) ) ) => k4_rlvect_1(A,K) = k4_algstr_0(A,k4_rlvect_1(A,L)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( m2_finseq_1(O,u1_struct_0(A)) => ! [P] : ( m2_finseq_1(P,u1_struct_0(A)) => ( ( k3_finseq_1(O) = k3_finseq_1(P) & k3_finseq_1(O) = F & ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ( ( r2_tarski(Q,k2_finseq_1(k3_finseq_1(O))) & R = k1_funct_1(P,Q) ) => k1_funct_1(O,Q) = k4_algstr_0(A,R) ) ) ) ) => k4_rlvect_1(A,O) = k4_algstr_0(A,k4_rlvect_1(A,P)) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_5__bor_cant,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( k1_funct_1(k22_sin_cos,k4_xcmplx_0(k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),k5_numbers))) = k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k22_sin_cos,k4_xcmplx_0(k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),E))) = k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),E) => k1_funct_1(k22_sin_cos,k4_xcmplx_0(k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),k1_nat_1(E,1)))) = k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),k1_nat_1(E,1)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k22_sin_cos,k4_xcmplx_0(k1_funct_1(k3_series_1(k8_prob_1(A,B,D,C)),E))) = k1_funct_1(k1_series_3(k2_bor_cant(k8_prob_1(A,B,D,C))),E) ) ) ) )).
fof(s2_nat_1__e6_5__fintopo4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k4_ordinal1) ) => ( ( r1_tarski(k5_fintopo3(A,B,k2_xcmplx_0(C,k5_numbers)),k5_fintopo3(A,B,C)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k5_fintopo3(A,B,k2_xcmplx_0(C,D)),k5_fintopo3(A,B,C)) => r1_tarski(k5_fintopo3(A,B,k2_xcmplx_0(C,k1_nat_1(D,1))),k5_fintopo3(A,B,C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k5_fintopo3(A,B,k2_xcmplx_0(C,D)),k5_fintopo3(A,B,C)) ) ) ) )).
fof(s2_nat_1__e6_60__scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( k1_funct_1(B,k1_scmp_gcd(2)) = k5_numbers & k1_funct_1(B,k2_scmp_gcd) = k5_numbers ) => k1_funct_1(k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k9_compos_1(k1_scmpds_2,k11_scmpds_2(k2_scmp_gcd,3,1))),B,A),k1_scmp_gcd(3)) = k2_xcmplx_0(k5_numbers,k1_funct_1(B,k1_scmp_gcd(3))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( k1_funct_1(D,k1_scmp_gcd(2)) = C & k1_funct_1(D,k2_scmp_gcd) = k5_numbers ) => k1_funct_1(k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k9_compos_1(k1_scmpds_2,k11_scmpds_2(k2_scmp_gcd,3,1))),D,A),k1_scmp_gcd(3)) = k2_xcmplx_0(C,k1_funct_1(D,k1_scmp_gcd(3))) ) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(E,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( k1_funct_1(E,k1_scmp_gcd(2)) = k1_nat_1(C,1) & k1_funct_1(E,k2_scmp_gcd) = k5_numbers ) => k1_funct_1(k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k9_compos_1(k1_scmpds_2,k11_scmpds_2(k2_scmp_gcd,3,1))),E,A),k1_scmp_gcd(3)) = k2_xcmplx_0(k1_nat_1(C,1),k1_funct_1(E,k1_scmp_gcd(3))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(F,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( k1_funct_1(F,k1_scmp_gcd(2)) = C & k1_funct_1(F,k2_scmp_gcd) = k5_numbers ) => k1_funct_1(k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k9_compos_1(k1_scmpds_2,k11_scmpds_2(k2_scmp_gcd,3,1))),F,A),k1_scmp_gcd(3)) = k2_xcmplx_0(C,k1_funct_1(F,k1_scmp_gcd(3))) ) ) ) ) ) )).
fof(s2_nat_1__e6_61__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,k5_numbers)) & k8_flang_1(A,B) = k6_flang_1(A,k7_flang_1(A,B,k5_numbers),k8_flang_1(A,B)) & ! [C] : ( v7_ordinal1(C) => ( ( k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,C)) & k8_flang_1(A,B) = k6_flang_1(A,k7_flang_1(A,B,C),k8_flang_1(A,B)) ) => ( k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,k1_nat_1(C,1))) & k8_flang_1(A,B) = k6_flang_1(A,k7_flang_1(A,B,k1_nat_1(C,1)),k8_flang_1(A,B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k7_flang_1(A,B,C)) & k8_flang_1(A,B) = k6_flang_1(A,k7_flang_1(A,B,C),k8_flang_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e6_61__poset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( ! [F] : ( m1_subset_1(F,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,F),k5_numbers) => k3_funct_2(A,B,C,F) = k3_funct_2(A,B,D,F) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,H),G) => k3_funct_2(A,B,C,H) = k3_funct_2(A,B,D,H) ) ) => ! [I] : ( m1_subset_1(I,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,I),k1_nat_1(G,1)) => k3_funct_2(A,B,C,I) = k3_funct_2(A,B,D,I) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m1_subset_1(J,A) => ( r1_xxreal_0(k3_funct_2(A,k4_ordinal1,E,J),G) => k3_funct_2(A,B,C,J) = k3_funct_2(A,B,D,J) ) ) ) ) ) )).
fof(s2_nat_1__e6_61__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k3_xcmplx_0(2,k5_numbers)) = k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),k5_numbers),k2_comseq_3(A,k3_xcmplx_0(2,k5_numbers))) & k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) = k3_xcmplx_0(k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),k5_numbers),k2_comseq_3(A,k1_nat_1(k3_xcmplx_0(2,k5_numbers),1))),k7_complex1) & ! [B] : ( v7_ordinal1(B) => ( ( k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k3_xcmplx_0(2,B)) = k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),B),k2_comseq_3(A,k3_xcmplx_0(2,B))) & k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k1_nat_1(k3_xcmplx_0(2,B),1)) = k3_xcmplx_0(k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),B),k2_comseq_3(A,k1_nat_1(k3_xcmplx_0(2,B),1))),k7_complex1) ) => ( k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k3_xcmplx_0(2,k1_nat_1(B,1))) = k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),k1_nat_1(B,1)),k2_comseq_3(A,k3_xcmplx_0(2,k1_nat_1(B,1)))) & k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)) = k3_xcmplx_0(k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),k1_nat_1(B,1)),k2_comseq_3(A,k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1))),k7_complex1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k3_xcmplx_0(2,B)) = k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),B),k2_comseq_3(A,k3_xcmplx_0(2,B))) & k2_comseq_3(k3_xcmplx_0(A,k7_complex1),k1_nat_1(k3_xcmplx_0(2,B),1)) = k3_xcmplx_0(k3_xcmplx_0(k2_comseq_3(k4_xcmplx_0(1),B),k2_comseq_3(A,k1_nat_1(k3_xcmplx_0(2,B),1))),k7_complex1) ) ) ) ) )).
fof(s2_nat_1__e6_62__rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k5_numbers & k10_xtuple_0(B) = k10_xtuple_0(C) & v2_funct_1(B) & v2_funct_1(C) ) => k4_rlvect_1(A,B) = k4_rlvect_1(A,C) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( k3_finseq_1(E) = D & k10_xtuple_0(E) = k10_xtuple_0(F) & v2_funct_1(E) & v2_funct_1(F) ) => k4_rlvect_1(A,E) = k4_rlvect_1(A,F) ) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( k3_finseq_1(G) = k1_nat_1(D,1) & k10_xtuple_0(G) = k10_xtuple_0(H) & v2_funct_1(G) & v2_funct_1(H) ) => k4_rlvect_1(A,G) = k4_rlvect_1(A,H) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(I) = D & k10_xtuple_0(I) = k10_xtuple_0(J) & v2_funct_1(I) & v2_funct_1(J) ) => k4_rlvect_1(A,I) = k4_rlvect_1(A,J) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_63_1__bcialg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => r1_bcialg_1(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),k1_nat_1(k5_numbers,1)),k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),1)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => r1_bcialg_1(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),k1_nat_1(E,1)),k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),1)) ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => r1_bcialg_1(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),k1_nat_1(k1_nat_1(E,1),1)),k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => r1_bcialg_1(A,k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),k1_nat_1(E,1)),k1_bcialg_2(A,D,k1_bcialg_1(A,D,C),1)) ) ) ) ) )).
fof(s2_nat_1__e6_63__glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( ( ~ v1_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers))) & m1_subset_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers)),k1_zfmisc_1(k6_glib_000(A))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers)),k21_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers)))) & ! [B] : ( v7_ordinal1(B) => ( ( ~ v1_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) & m1_subset_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k1_zfmisc_1(k6_glib_000(A))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k21_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)))) ) => ( ~ v1_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1)))) & m1_subset_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1))),k1_zfmisc_1(k6_glib_000(A))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1))),k21_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1))))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( ~ v1_xboole_0(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) & m1_subset_1(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k1_zfmisc_1(k6_glib_000(A))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k21_glib_000(A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)))) ) ) ) ) )).
fof(s2_nat_1__e6_64__numpoly1,axiom,( ( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k1_numpoly1(A),k1_numpoly1(k2_xcmplx_0(A,k5_numbers))) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_numpoly1(C),k1_numpoly1(k2_xcmplx_0(C,B))) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_numpoly1(D),k1_numpoly1(k2_xcmplx_0(D,k1_nat_1(B,1)))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k1_numpoly1(E),k1_numpoly1(k2_xcmplx_0(E,B))) ) ) )).
fof(s2_nat_1__e6_65__flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) & m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) ) => ( ( r1_tarski(k7_flang_1(A,B,k5_numbers),k8_flang_1(A,C)) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k7_flang_1(A,B,D),k8_flang_1(A,C)) => r1_tarski(k7_flang_1(A,B,k1_nat_1(D,1)),k8_flang_1(A,C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k7_flang_1(A,B,D),k8_flang_1(A,C)) ) ) ) )).
fof(s2_nat_1__e6_65__scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( ( r1_xxreal_0(k1_funct_1(A,C),k5_numbers) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),k5_numbers),C) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k1_funct_1(A,C),E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),E),C) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),E),k4_scmfsa_2(k5_numbers)) = 1 ) ) => ( r1_xxreal_0(k1_funct_1(A,C),k1_nat_1(E,1)) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),k1_nat_1(E,1)),C) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),k1_nat_1(E,1)),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_funct_1(A,C),E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),E),C) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_scmfsa9a(B,A,D,C),E),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) )).
fof(s2_nat_1__e6_65__zmodul05,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)) ) => ( ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m2_zmodul02(F,A,E) => ( ( k4_card_1(k18_zmodul02(A,F)) = k5_numbers & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(G,k18_zmodul02(A,F)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,G) = D ) ) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,F)) = k1_zmodul01(B,D,k16_rvsum_1(k6_zmodul05(A,B,F,C,D))) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ! [J] : ( m2_zmodul02(J,A,I) => ( ( k4_card_1(k18_zmodul02(A,J)) = H & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(K,k18_zmodul02(A,J)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,K) = D ) ) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,J)) = k1_zmodul01(B,D,k16_rvsum_1(k6_zmodul05(A,B,J,C,D))) ) ) ) => ! [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) => ! [M] : ( m2_zmodul02(M,A,L) => ( ( k4_card_1(k18_zmodul02(A,M)) = k1_nat_1(H,1) & ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ( r2_tarski(N,k18_zmodul02(A,M)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,N) = D ) ) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,M)) = k1_zmodul01(B,D,k16_rvsum_1(k6_zmodul05(A,B,M,C,D))) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( m1_subset_1(O,k1_zfmisc_1(u1_struct_0(A))) => ! [P] : ( m2_zmodul02(P,A,O) => ( ( k4_card_1(k18_zmodul02(A,P)) = H & ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ( r2_tarski(Q,k18_zmodul02(A,P)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,Q) = D ) ) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k21_zmodul02(A,P)) = k1_zmodul01(B,D,k16_rvsum_1(k6_zmodul05(A,B,P,C,D))) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_66__finseq_4,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( k3_finseq_1(A) = k5_numbers & r1_tarski(k10_xtuple_0(A),k4_finseq_1(A)) & v2_funct_1(A) ) => k10_xtuple_0(A) = k4_finseq_1(A) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( k3_finseq_1(C) = B & r1_tarski(k10_xtuple_0(C),k4_finseq_1(C)) & v2_funct_1(C) ) => k10_xtuple_0(C) = k4_finseq_1(C) ) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( k3_finseq_1(D) = k1_nat_1(B,1) & r1_tarski(k10_xtuple_0(D),k4_finseq_1(D)) & v2_funct_1(D) ) => k10_xtuple_0(D) = k4_finseq_1(D) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(E) = B & r1_tarski(k10_xtuple_0(E),k4_finseq_1(E)) & v2_funct_1(E) ) => k10_xtuple_0(E) = k4_finseq_1(E) ) ) ) )).
fof(s2_nat_1__e6_67__series_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k3_xcmplx_0(k1_nat_1(k5_numbers,1),k1_power(k1_nat_1(k5_numbers,1),k8_nat_1(k1_numbers,k1_series_3(A),k5_numbers))),k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k3_xcmplx_0(k1_nat_1(B,1),k1_power(k1_nat_1(B,1),k8_nat_1(k1_numbers,k1_series_3(A),B))),k8_nat_1(k1_numbers,k3_series_1(A),B)) => r1_xxreal_0(k3_xcmplx_0(k1_nat_1(k1_nat_1(B,1),1),k1_power(k1_nat_1(k1_nat_1(B,1),1),k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)))),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k3_xcmplx_0(k1_nat_1(B,1),k1_power(k1_nat_1(B,1),k8_nat_1(k1_numbers,k1_series_3(A),B))),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) )).
fof(s2_nat_1__e6_68__glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( ( r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers)),k1_glib_002(A,o_1_1_glib_004(A))) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k1_glib_002(A,o_1_1_glib_004(A))) => r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(B,1))),k1_glib_002(A,o_1_1_glib_004(A))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k1_glib_002(A,o_1_1_glib_004(A))) ) ) ) )).
fof(s2_nat_1__e6_69__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) ) => ( ( r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,k5_numbers)))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,k5_numbers)))) & ! [C] : ( v7_ordinal1(C) => ( ( r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,C)))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,C)))) ) => ( r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,k1_nat_1(C,1))))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,k1_nat_1(C,1))))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,C)))) & r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k2_xcmplx_0(B,C)))) ) ) ) ) )).
fof(s2_nat_1__e6_6__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( ( ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(F,k5_numbers) & r2_tarski(E,k8_nat_1(B,C,F)) ) => r2_tarski(E,k8_nat_1(B,D,k5_numbers)) ) & ! [G] : ( v7_ordinal1(G) => ( ( ? [H] : ( v7_ordinal1(H) & r1_xxreal_0(H,G) & r2_tarski(E,k8_nat_1(B,C,H)) ) => r2_tarski(E,k8_nat_1(B,D,G)) ) => ( ? [I] : ( v7_ordinal1(I) & r1_xxreal_0(I,k1_nat_1(G,1)) & r2_tarski(E,k8_nat_1(B,C,I)) ) => r2_tarski(E,k8_nat_1(B,D,k1_nat_1(G,1))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ? [J] : ( v7_ordinal1(J) & r1_xxreal_0(J,G) & r2_tarski(E,k8_nat_1(B,C,J)) ) => r2_tarski(E,k8_nat_1(B,D,G)) ) ) ) ) )).
fof(s2_nat_1__e6_70__rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & m1_subset_1(D,k8_afinsq_1(A)) ) => ( ( ! [E] : ( m1_rewrite1(E,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,C))) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ~ ( k3_finseq_1(E) = k5_numbers & k1_funct_1(E,1) = D & k1_funct_1(E,k3_finseq_1(E)) = F & ! [G] : ( m1_rewrite1(G,k7_rewrite2(A,B)) => ~ ( k1_funct_1(G,1) = D & k1_funct_1(G,k3_finseq_1(G)) = F ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( m1_rewrite1(I,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,C))) => ! [J] : ( m1_subset_1(J,k8_afinsq_1(A)) => ~ ( k3_finseq_1(I) = H & k1_funct_1(I,1) = D & k1_funct_1(I,k3_finseq_1(I)) = J & ! [K] : ( m1_rewrite1(K,k7_rewrite2(A,B)) => ~ ( k1_funct_1(K,1) = D & k1_funct_1(K,k3_finseq_1(K)) = J ) ) ) ) ) => ! [L] : ( m1_rewrite1(L,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,C))) => ! [M] : ( m1_subset_1(M,k8_afinsq_1(A)) => ~ ( k3_finseq_1(L) = k1_nat_1(H,1) & k1_funct_1(L,1) = D & k1_funct_1(L,k3_finseq_1(L)) = M & ! [N] : ( m1_rewrite1(N,k7_rewrite2(A,B)) => ~ ( k1_funct_1(N,1) = D & k1_funct_1(N,k3_finseq_1(N)) = M ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [O] : ( m1_rewrite1(O,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,C))) => ! [P] : ( m1_subset_1(P,k8_afinsq_1(A)) => ~ ( k3_finseq_1(O) = H & k1_funct_1(O,1) = D & k1_funct_1(O,k3_finseq_1(O)) = P & ! [Q] : ( m1_rewrite1(Q,k7_rewrite2(A,B)) => ~ ( k1_funct_1(Q,1) = D & k1_funct_1(Q,k3_finseq_1(Q)) = P ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_73__glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ( ( ! [B] : ( m2_glib_000(B,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k5_numbers))) => v3_glib_002(B) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m2_glib_000(D,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C))) => v3_glib_002(D) ) => ! [E] : ( m2_glib_000(E,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(C,1))),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(C,1)))) => v3_glib_002(E) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m2_glib_000(F,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C))) => v3_glib_002(F) ) ) ) ) )).
fof(s2_nat_1__e6_73__rinfsup1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(B,k1_numbers) ) => ( ( k1_funct_1(k3_rinfsup1(A),k5_numbers) = B & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(k3_rinfsup1(A),C) = B => k1_funct_1(k3_rinfsup1(A),k1_nat_1(C,1)) = B ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k3_rinfsup1(A),C) = B ) ) ) )).
fof(s2_nat_1__e6_74__rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v7_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) & m1_rcomp_3(E,A,B,D) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(E)) => ( r1_xxreal_0(k5_numbers,C) | r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,k5_numbers))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(E)) => ( r1_xxreal_0(F,C) | r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,F))) ) ) => ( r2_tarski(k1_nat_1(F,1),k4_finseq_1(E)) => ( r1_xxreal_0(k1_nat_1(F,1),C) | r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,k1_nat_1(F,1)))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => ( r1_xxreal_0(F,C) | r1_xxreal_0(k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k3_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,F))) ) ) ) ) ) )).
fof(s2_nat_1__e6_74__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k5_numbers) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k5_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k5_numbers) ) ) ) )).
fof(s2_nat_1__e6_75__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( ( r1_xxreal_0(k5_numbers,k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),k5_numbers)))) = k5_numbers ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(B,k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),B)))) = B ) => ( r1_xxreal_0(k1_nat_1(B,1),k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),k1_nat_1(B,1))))) = k1_nat_1(B,1) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k15_glib_000(A)) => k4_card_1(k1_relset_1(k6_glib_000(A),k7_lexbfs(k6_glib_000(A),k4_ordinal1,k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)),k13_lexbfs(A,k16_lexbfs(A),B)))) = B ) ) ) ) )).
fof(s2_nat_1__e6_75__ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( ~ v4_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,B)),k2_hurwitz(A,k5_ratfunc1(A,B))) = k5_numbers => ! [C] : ( m1_ratfunc1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = k3_ratfunc1(A,k12_polynom3(A,D,k4_ratfunc1(A,C)),k12_polynom3(A,D,k5_ratfunc1(A,C))) & v5_ratfunc1(C,A) ) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) => ~ ( D = k3_group_4(k13_polynom3(A),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),G) & k1_funct_1(E,F) = k3_hurwitz(A,G,1) ) ) ) ) ) ) | ! [E] : ( m1_ratfunc1(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & ~ v1_ratfunc1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = k3_ratfunc1(A,k12_polynom3(A,F,k4_ratfunc1(A,E)),k12_polynom3(A,F,k5_ratfunc1(A,E))) & v5_ratfunc1(E,A) ) => ( ! [G] : ( m2_finseq_1(G,u1_struct_0(k13_polynom3(A))) => ~ ( F = k3_group_4(k13_polynom3(A),G) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(G)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),I) & k1_funct_1(G,H) = k3_hurwitz(A,I,1) ) ) ) ) ) ) | C = E ) ) ) ) ) ) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( ~ v4_ratfunc1(K,A) & m1_ratfunc1(K,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,K)),k2_hurwitz(A,k5_ratfunc1(A,K))) = J => ! [L] : ( m1_ratfunc1(L,A) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(M,A) & ~ v1_ratfunc1(M,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( K = k3_ratfunc1(A,k12_polynom3(A,M,k4_ratfunc1(A,L)),k12_polynom3(A,M,k5_ratfunc1(A,L))) & v5_ratfunc1(L,A) ) => ( ! [N] : ( m2_finseq_1(N,u1_struct_0(k13_polynom3(A))) => ~ ( M = k3_group_4(k13_polynom3(A),N) & ! [O] : ( m1_subset_1(O,k4_ordinal1) => ~ ( r2_tarski(O,k4_finseq_1(N)) & ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,K),k5_ratfunc1(A,K),P) & k1_funct_1(N,O) = k3_hurwitz(A,P,1) ) ) ) ) ) ) | ! [N] : ( m1_ratfunc1(N,A) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(O,A) & ~ v1_ratfunc1(O,A) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( K = k3_ratfunc1(A,k12_polynom3(A,O,k4_ratfunc1(A,N)),k12_polynom3(A,O,k5_ratfunc1(A,N))) & v5_ratfunc1(N,A) ) => ( ! [P] : ( m2_finseq_1(P,u1_struct_0(k13_polynom3(A))) => ~ ( O = k3_group_4(k13_polynom3(A),P) & ! [Q] : ( m1_subset_1(Q,k4_ordinal1) => ~ ( r2_tarski(Q,k4_finseq_1(P)) & ! [R] : ( m1_subset_1(R,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,K),k5_ratfunc1(A,K),R) & k1_funct_1(P,Q) = k3_hurwitz(A,R,1) ) ) ) ) ) ) | L = N ) ) ) ) ) ) ) ) ) ) => ! [S] : ( ( ~ v4_ratfunc1(S,A) & m1_ratfunc1(S,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,S)),k2_hurwitz(A,k5_ratfunc1(A,S))) = k1_nat_1(J,1) => ! [T] : ( m1_ratfunc1(T,A) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(U,A) & ~ v1_ratfunc1(U,A) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( S = k3_ratfunc1(A,k12_polynom3(A,U,k4_ratfunc1(A,T)),k12_polynom3(A,U,k5_ratfunc1(A,T))) & v5_ratfunc1(T,A) ) => ( ! [V] : ( m2_finseq_1(V,u1_struct_0(k13_polynom3(A))) => ~ ( U = k3_group_4(k13_polynom3(A),V) & ! [W] : ( m1_subset_1(W,k4_ordinal1) => ~ ( r2_tarski(W,k4_finseq_1(V)) & ! [X] : ( m1_subset_1(X,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,S),k5_ratfunc1(A,S),X) & k1_funct_1(V,W) = k3_hurwitz(A,X,1) ) ) ) ) ) ) | ! [V] : ( m1_ratfunc1(V,A) => ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(W,A) & ~ v1_ratfunc1(W,A) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( S = k3_ratfunc1(A,k12_polynom3(A,W,k4_ratfunc1(A,V)),k12_polynom3(A,W,k5_ratfunc1(A,V))) & v5_ratfunc1(V,A) ) => ( ! [X] : ( m2_finseq_1(X,u1_struct_0(k13_polynom3(A))) => ~ ( W = k3_group_4(k13_polynom3(A),X) & ! [Y] : ( m1_subset_1(Y,k4_ordinal1) => ~ ( r2_tarski(Y,k4_finseq_1(X)) & ! [Z] : ( m1_subset_1(Z,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,S),k5_ratfunc1(A,S),Z) & k1_funct_1(X,Y) = k3_hurwitz(A,Z,1) ) ) ) ) ) ) | T = V ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [A1] : ( ( ~ v4_ratfunc1(A1,A) & m1_ratfunc1(A1,A) ) => ( k4_xxreal_0(k2_hurwitz(A,k4_ratfunc1(A,A1)),k2_hurwitz(A,k5_ratfunc1(A,A1))) = J => ! [B1] : ( m1_ratfunc1(B1,A) => ! [C1] : ( ( v1_funct_1(C1) & v1_funct_2(C1,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C1,A) & ~ v1_ratfunc1(C1,A) & m1_subset_1(C1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( A1 = k3_ratfunc1(A,k12_polynom3(A,C1,k4_ratfunc1(A,B1)),k12_polynom3(A,C1,k5_ratfunc1(A,B1))) & v5_ratfunc1(B1,A) ) => ( ! [D1] : ( m2_finseq_1(D1,u1_struct_0(k13_polynom3(A))) => ~ ( C1 = k3_group_4(k13_polynom3(A),D1) & ! [E1] : ( m1_subset_1(E1,k4_ordinal1) => ~ ( r2_tarski(E1,k4_finseq_1(D1)) & ! [F1] : ( m1_subset_1(F1,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,A1),k5_ratfunc1(A,A1),F1) & k1_funct_1(D1,E1) = k3_hurwitz(A,F1,1) ) ) ) ) ) ) | ! [D1] : ( m1_ratfunc1(D1,A) => ! [E1] : ( ( v1_funct_1(E1) & v1_funct_2(E1,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E1,A) & ~ v1_ratfunc1(E1,A) & m1_subset_1(E1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( A1 = k3_ratfunc1(A,k12_polynom3(A,E1,k4_ratfunc1(A,D1)),k12_polynom3(A,E1,k5_ratfunc1(A,D1))) & v5_ratfunc1(D1,A) ) => ( ! [F1] : ( m2_finseq_1(F1,u1_struct_0(k13_polynom3(A))) => ~ ( E1 = k3_group_4(k13_polynom3(A),F1) & ! [G1] : ( m1_subset_1(G1,k4_ordinal1) => ~ ( r2_tarski(G1,k4_finseq_1(F1)) & ! [H1] : ( m1_subset_1(H1,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,A1),k5_ratfunc1(A,A1),H1) & k1_funct_1(F1,G1) = k3_hurwitz(A,H1,1) ) ) ) ) ) ) | B1 = D1 ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_75__rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v7_ordinal1(C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) & m1_rcomp_3(E,A,B,D) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(E)) => ( r1_xxreal_0(k5_numbers,C) | r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,k5_numbers))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(E)) => ( r1_xxreal_0(F,C) | r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,F))) ) ) => ( r2_tarski(k1_nat_1(F,1),k4_finseq_1(E)) => ( r1_xxreal_0(k1_nat_1(F,1),C) | r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,k1_nat_1(F,1)))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(E)) => ( r1_xxreal_0(F,C) | r1_xxreal_0(k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,C)),k2_seq_4(k7_partfun1(k9_setfam_1(k1_numbers),E,F))) ) ) ) ) ) )).
fof(s2_nat_1__e6_75__series_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k1_square_1(k1_nat_1(k5_numbers,1)),k3_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_square_1(k1_nat_1(C,1)),k3_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),C),k8_nat_1(k1_numbers,k3_series_1(B),C))) => r1_xxreal_0(k1_square_1(k1_nat_1(k1_nat_1(C,1),1)),k3_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(C,1)),k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_square_1(k1_nat_1(C,1)),k3_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),C),k8_nat_1(k1_numbers,k3_series_1(B),C))) ) ) ) )).
fof(s2_nat_1__e6_75__sf_mastr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,k5_numbers),A) = k1_funct_1(C,A) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,E),A) = k1_funct_1(C,A) ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,k1_nat_1(E,1)),A) = k1_funct_1(C,A) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,E),A) = k1_funct_1(C,A) ) ) ) ) )).
fof(s2_nat_1__e6_76_1__newton01,axiom,( ( ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(3,k5_numbers),2),k1_newton(k2_xcmplx_0(3,k5_numbers),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(3,k5_numbers),1),2)) & ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(3,A),2),k1_newton(k2_xcmplx_0(3,A),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(3,A),1),2)) => ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(3,k1_nat_1(A,1)),2),k1_newton(k2_xcmplx_0(3,k1_nat_1(A,1)),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(3,k1_nat_1(A,1)),1),2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(k2_xcmplx_0(3,A),2),k1_newton(k2_xcmplx_0(3,A),2)),k1_newton(k2_xcmplx_0(k2_xcmplx_0(3,A),1),2)) ) )).
fof(s2_nat_1__e6_77__sf_mastr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_scmfsa_2(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,B) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,k5_numbers),A),k18_scmfsa_2(C,A)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,B) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,E),A),k18_scmfsa_2(C,A)) ) => ( r1_xxreal_0(k1_nat_1(E,1),B) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,k1_nat_1(E,1)),A),k18_scmfsa_2(C,A)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,C,E),A),k18_scmfsa_2(C,A)) ) ) ) ) )).
fof(s2_nat_1__e6_79__graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B)),C,B)) ) => r2_tarski(A,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B))),k5_numbers),C),B)) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B)),C,B)) ) => r2_tarski(A,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B))),D),C),B)) ) => ( ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B)),C,B)) ) => r2_tarski(A,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B))),k1_nat_1(D,1)),C),B)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k8_graphsp(k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B)),C,B)) ) => r2_tarski(A,k13_graphsp(k6_graphsp(k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),k15_graphsp(B),k18_graphsp(B))),D),C),B)) ) ) ) ) )).
fof(s2_nat_1__e6_7__groupp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( ! [E] : ( v7_ordinal1(E) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,F) & k5_group_1(A,k6_algstr_0(A,C,D),k5_numbers) = k6_algstr_0(A,k5_group_1(A,C,k5_numbers),F) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r1_struct_0(B,I) & k5_group_1(A,k6_algstr_0(A,C,D),G) = k6_algstr_0(A,k5_group_1(A,C,G),I) ) ) => ! [J] : ( v7_ordinal1(J) => ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & r1_struct_0(B,K) & k5_group_1(A,k6_algstr_0(A,C,D),k1_nat_1(G,1)) = k6_algstr_0(A,k5_group_1(A,C,k1_nat_1(G,1)),K) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( v7_ordinal1(L) => ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & r1_struct_0(B,M) & k5_group_1(A,k6_algstr_0(A,C,D),G) = k6_algstr_0(A,k5_group_1(A,C,G),M) ) ) ) ) ) )).
fof(s2_nat_1__e6_85__fvaluat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) & m1_fvaluat1(B,A) & m1_subset_1(C,u1_struct_0(k7_fvaluat1(A,B))) ) => ( ( k1_binop_1(k4_group_1(A),C,k5_numbers) = k1_binop_1(k4_group_1(k7_fvaluat1(A,B)),C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_binop_1(k4_group_1(A),C,D) = k1_binop_1(k4_group_1(k7_fvaluat1(A,B)),C,D) => k1_binop_1(k4_group_1(A),C,k1_nat_1(D,1)) = k1_binop_1(k4_group_1(k7_fvaluat1(A,B)),C,k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k4_group_1(A),C,D) = k1_binop_1(k4_group_1(k7_fvaluat1(A,B)),C,D) ) ) ) )).
fof(s2_nat_1__e6_85__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,k5_numbers)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,k5_numbers)))) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,B)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,B)))) => ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,k1_nat_1(B,1))),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,k1_nat_1(B,1))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,B)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,B)))) ) ) ) )).
fof(s2_nat_1__e6_87__asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,A,k5_numbers) = k6_series_1(k2_asympt_1,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,A,B) = k6_series_1(k2_asympt_1,B) => k8_nat_1(k1_numbers,A,k1_nat_1(B,1)) = k6_series_1(k2_asympt_1,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k6_series_1(k2_asympt_1,B) ) ) ) )).
fof(s2_nat_1__e6_87__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) & m1_subset_1(E,u1_struct_0(D)) & ~ v2_struct_0(F) & v8_struct_0(F) & l2_fsm_1(F,A,B) & m1_subset_1(G,u1_struct_0(F)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),k5_numbers) = k1_funct_1(k2_fsm_1(A,F,G,C),k5_numbers) ) & ! [H] : ( v7_ordinal1(H) => ( ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),H) = k1_funct_1(k2_fsm_1(A,F,G,C),H) ) => ( ( r1_xxreal_0(1,k1_nat_1(H,1)) & r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),k1_nat_1(H,1)) = k1_funct_1(k2_fsm_1(A,F,G,C),k1_nat_1(H,1)) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(k2_fsm_1(A,D,E,C))) ) => k1_funct_1(k2_fsm_1(A,D,E,C),H) = k1_funct_1(k2_fsm_1(A,F,G,C),H) ) ) ) ) )).
fof(s2_nat_1__e6_87__rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) & m1_rcomp_3(D,A,B,C) & m2_rcomp_3(E,A,B,C,D) & v7_ordinal1(F) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,F) & r2_tarski(F,k4_finseq_1(E)) & r2_tarski(k5_numbers,k4_finseq_1(E)) & r1_xxreal_0(k1_funct_1(E,k5_numbers),k1_funct_1(E,F)) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( ~ r1_xxreal_0(G,F) & r2_tarski(F,k4_finseq_1(E)) & r2_tarski(G,k4_finseq_1(E)) & r1_xxreal_0(k1_funct_1(E,G),k1_funct_1(E,F)) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(G,1),F) & r2_tarski(F,k4_finseq_1(E)) & r2_tarski(k1_nat_1(G,1),k4_finseq_1(E)) & r1_xxreal_0(k1_funct_1(E,k1_nat_1(G,1)),k1_funct_1(E,F)) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( ~ r1_xxreal_0(G,F) & r2_tarski(F,k4_finseq_1(E)) & r2_tarski(G,k4_finseq_1(E)) & r1_xxreal_0(k1_funct_1(E,G),k1_funct_1(E,F)) ) ) ) ) )).
fof(s2_nat_1__e6_8__groupp_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(k5_group_6(A,B))) ) => ( ( ! [E] : ( v7_ordinal1(E) => k5_group_1(k5_group_6(A,B),D,k5_numbers) = k13_group_2(A,B,k5_group_1(A,C,k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => k5_group_1(k5_group_6(A,B),D,F) = k13_group_2(A,B,k5_group_1(A,C,F)) ) => ! [H] : ( v7_ordinal1(H) => k5_group_1(k5_group_6(A,B),D,k1_nat_1(F,1)) = k13_group_2(A,B,k5_group_1(A,C,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( v7_ordinal1(I) => k5_group_1(k5_group_6(A,B),D,F) = k13_group_2(A,B,k5_group_1(A,C,F)) ) ) ) ) )).
fof(s2_nat_1__e6_8__hurwitz,axiom,( ( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(B) = k3_finseq_1(A) & k3_finseq_1(A) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => k7_partfun1(u1_struct_0(k1_complfld),B,C) = k2_complfld(k7_partfun1(u1_struct_0(k1_complfld),A,C)) ) ) ) => k4_rlvect_1(k1_complfld,B) = k2_complfld(k4_rlvect_1(k1_complfld,A)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k1_complfld)) => ! [F] : ( m2_finseq_1(F,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(F) = k3_finseq_1(E) & k3_finseq_1(E) = D & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(F)) => k7_partfun1(u1_struct_0(k1_complfld),F,G) = k2_complfld(k7_partfun1(u1_struct_0(k1_complfld),E,G)) ) ) ) => k4_rlvect_1(k1_complfld,F) = k2_complfld(k4_rlvect_1(k1_complfld,E)) ) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k1_complfld)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(I) = k3_finseq_1(H) & k3_finseq_1(H) = k1_nat_1(D,1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(I)) => k7_partfun1(u1_struct_0(k1_complfld),I,J) = k2_complfld(k7_partfun1(u1_struct_0(k1_complfld),H,J)) ) ) ) => k4_rlvect_1(k1_complfld,I) = k2_complfld(k4_rlvect_1(k1_complfld,H)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k1_complfld)) => ! [L] : ( m2_finseq_1(L,u1_struct_0(k1_complfld)) => ( ( k3_finseq_1(L) = k3_finseq_1(K) & k3_finseq_1(K) = D & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(L)) => k7_partfun1(u1_struct_0(k1_complfld),L,M) = k2_complfld(k7_partfun1(u1_struct_0(k1_complfld),K,M)) ) ) ) => k4_rlvect_1(k1_complfld,L) = k2_complfld(k4_rlvect_1(k1_complfld,K)) ) ) ) ) )).
fof(s2_nat_1__e6_8__topreal6,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v7_ordinal1(B) ) => ( ( ( r1_xxreal_0(B,k5_numbers) => k19_rvsum_1(k2_finseq_2(k7_nat_d(k5_numbers,B),A)) = k7_xcmplx_0(k19_rvsum_1(k2_finseq_2(k5_numbers,A)),k19_rvsum_1(k2_finseq_2(B,A))) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,C) => k19_rvsum_1(k2_finseq_2(k7_nat_d(C,B),A)) = k7_xcmplx_0(k19_rvsum_1(k2_finseq_2(C,A)),k19_rvsum_1(k2_finseq_2(B,A))) ) => ( r1_xxreal_0(B,k1_nat_1(C,1)) => k19_rvsum_1(k2_finseq_2(k7_nat_d(k1_nat_1(C,1),B),A)) = k7_xcmplx_0(k19_rvsum_1(k2_finseq_2(k1_nat_1(C,1),A)),k19_rvsum_1(k2_finseq_2(B,A))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => k19_rvsum_1(k2_finseq_2(k7_nat_d(C,B),A)) = k7_xcmplx_0(k19_rvsum_1(k2_finseq_2(C,A)),k19_rvsum_1(k2_finseq_2(B,A))) ) ) ) ) )).
fof(s2_nat_1__e6_91_1_2__group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) ) => ( ( ! [E] : ( m2_finseq_1(E,A) => ( k3_finseq_1(E) = k5_numbers => r1_tarski(k7_relset_1(B,B,k2_group_9(A,B,D,E),C),C) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m2_finseq_1(G,A) => ( k3_finseq_1(G) = F => r1_tarski(k7_relset_1(B,B,k2_group_9(A,B,D,G),C),C) ) ) => ! [H] : ( m2_finseq_1(H,A) => ( k3_finseq_1(H) = k1_nat_1(F,1) => r1_tarski(k7_relset_1(B,B,k2_group_9(A,B,D,H),C),C) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m2_finseq_1(I,A) => ( k3_finseq_1(I) = F => r1_tarski(k7_relset_1(B,B,k2_group_9(A,B,D,I),C),C) ) ) ) ) ) )).
fof(s2_nat_1__e6_9__ami_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) & v5_memstr_0(A,k5_card_1(2),k1_ami_3,k5_numbers) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_ami_3)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k5_numbers)),k10_ami_3(k5_numbers)),k5_numbers) & ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k5_numbers)),k10_ami_3(1)),k5_numbers) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k5_numbers))) = k5_numbers ) | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k5_numbers)),k10_ami_3(1)) = k5_numbers & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k5_numbers))) = 4 ) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C)),k10_ami_3(k5_numbers)),k5_numbers) & ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C)),k10_ami_3(1)),k5_numbers) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C))) = k5_numbers ) | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C)),k10_ami_3(1)) = k5_numbers & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C))) = 4 ) ) ) => ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k1_nat_1(C,1))),k10_ami_3(k5_numbers)),k5_numbers) & ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k1_nat_1(C,1))),k10_ami_3(1)),k5_numbers) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k1_nat_1(C,1)))) = k5_numbers ) | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k1_nat_1(C,1))),k10_ami_3(1)) = k5_numbers & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,k1_nat_1(C,1)))) = 4 ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C)),k10_ami_3(k5_numbers)),k5_numbers) & ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C)),k10_ami_3(1)),k5_numbers) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C))) = k5_numbers ) | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C)),k10_ami_3(1)) = k5_numbers & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,A,k3_xcmplx_0(4,C))) = 4 ) ) ) ) ) ) )).
fof(s2_nat_1__e6_9__circuit2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_msafree2(C,A,B) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),D)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),D)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v3_trees_2(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v3_trees_2(H) ) => ( ( G = E & H = F & r1_xxreal_0(k6_circuit1(A,B,D),k5_numbers) & F = k3_funct_2(k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),D),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),D),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),k3_circuit2(A,B,C),D),E) ) => k9_xtuple_0(G) = k9_xtuple_0(H) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),J)) => ! [L] : ( m1_subset_1(L,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),J)) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v3_trees_2(M) ) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v3_trees_2(N) ) => ( ( M = K & N = L & r1_xxreal_0(k6_circuit1(A,B,J),I) & L = k3_funct_2(k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),J),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),J),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),k3_circuit2(A,B,C),J),K) ) => k9_xtuple_0(M) = k9_xtuple_0(N) ) ) ) ) ) ) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ! [P] : ( m1_subset_1(P,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),O)) => ! [Q] : ( m1_subset_1(Q,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),O)) => ! [R] : ( ( v1_relat_1(R) & v1_funct_1(R) & v3_trees_2(R) ) => ! [S] : ( ( v1_relat_1(S) & v1_funct_1(S) & v3_trees_2(S) ) => ( ( R = P & S = Q & r1_xxreal_0(k6_circuit1(A,B,O),k1_nat_1(I,1)) & Q = k3_funct_2(k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),O),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),O),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),k3_circuit2(A,B,C),O),P) ) => k9_xtuple_0(R) = k9_xtuple_0(S) ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [T] : ( m1_subset_1(T,u1_struct_0(A)) => ! [U] : ( m1_subset_1(U,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),T)) => ! [V] : ( m1_subset_1(V,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),T)) => ! [W] : ( ( v1_relat_1(W) & v1_funct_1(W) & v3_trees_2(W) ) => ! [X] : ( ( v1_relat_1(X) & v1_funct_1(X) & v3_trees_2(X) ) => ( ( W = U & X = V & r1_xxreal_0(k6_circuit1(A,B,T),I) & V = k3_funct_2(k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),T),k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),T),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k5_msafree2(A,B)),u3_msualg_1(A,k5_msafree2(A,B)),k3_circuit2(A,B,C),T),U) ) => k9_xtuple_0(W) = k9_xtuple_0(X) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e6_9__hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k5_numbers & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => k7_partfun1(u1_struct_0(A),B,D) = k4_algstr_0(A,k7_partfun1(u1_struct_0(A),C,D)) ) ) ) => k4_rlvect_1(A,B) = k4_algstr_0(A,k4_rlvect_1(A,C)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( ( k3_finseq_1(F) = E & k3_finseq_1(F) = k3_finseq_1(G) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k4_finseq_1(F)) => k7_partfun1(u1_struct_0(A),F,H) = k4_algstr_0(A,k7_partfun1(u1_struct_0(A),G,H)) ) ) ) => k4_rlvect_1(A,F) = k4_algstr_0(A,k4_rlvect_1(A,G)) ) ) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( ( k3_finseq_1(I) = k1_nat_1(E,1) & k3_finseq_1(I) = k3_finseq_1(J) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r2_tarski(K,k4_finseq_1(I)) => k7_partfun1(u1_struct_0(A),I,K) = k4_algstr_0(A,k7_partfun1(u1_struct_0(A),J,K)) ) ) ) => k4_rlvect_1(A,I) = k4_algstr_0(A,k4_rlvect_1(A,J)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [L] : ( m2_finseq_1(L,u1_struct_0(A)) => ! [M] : ( m2_finseq_1(M,u1_struct_0(A)) => ( ( k3_finseq_1(L) = E & k3_finseq_1(L) = k3_finseq_1(M) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( r2_tarski(N,k4_finseq_1(L)) => k7_partfun1(u1_struct_0(A),L,N) = k4_algstr_0(A,k7_partfun1(u1_struct_0(A),M,N)) ) ) ) => k4_rlvect_1(A,L) = k4_algstr_0(A,k4_rlvect_1(A,M)) ) ) ) ) ) ) )).
fof(s2_nat_1__e76_65_1__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) & v7_ordinal1(C) & v7_ordinal1(D) & v7_ordinal1(E) & v1_relat_1(F) & v5_relat_1(F,k1_numbers) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) ) => ( ( ( r1_xxreal_0(k1_nat_1(k2_xcmplx_0(C,k5_numbers),1),k1_nat_1(D,1)) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(F,k1_nat_1(k5_numbers,1))),k3_xcmplx_0(B,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(C,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),E)))) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(k1_nat_1(k2_xcmplx_0(C,G),1),k1_nat_1(D,1)) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(F,k1_nat_1(G,1))),k3_xcmplx_0(B,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(C,G)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),E)))) ) => ( r1_xxreal_0(k1_nat_1(k2_xcmplx_0(C,k1_nat_1(G,1)),1),k1_nat_1(D,1)) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(F,k1_nat_1(k1_nat_1(G,1),1))),k3_xcmplx_0(B,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(C,k1_nat_1(G,1))),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),E)))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k1_nat_1(k2_xcmplx_0(C,G),1),k1_nat_1(D,1)) => r1_xxreal_0(k7_afinsq_2(k5_relat_1(F,k1_nat_1(G,1))),k3_xcmplx_0(B,k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(C,G)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k1_numbers,A)),E)))) ) ) ) ) )).
fof(s2_nat_1__e7_10__measure7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(A,k5_numbers) => k12_supinf_2(k16_supinf_2(B),k5_numbers) = k12_supinf_2(B,A) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(A,C) => k12_supinf_2(k16_supinf_2(B),C) = k12_supinf_2(B,A) ) => ( r1_xxreal_0(A,k1_nat_1(C,1)) => k12_supinf_2(k16_supinf_2(B),k1_nat_1(C,1)) = k12_supinf_2(B,A) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(A,C) => k12_supinf_2(k16_supinf_2(B),C) = k12_supinf_2(B,A) ) ) ) ) )).
fof(s2_nat_1__e7_112__funct_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) ) => ( ( k8_funct_7(k8_funct_7(B,A),k5_numbers) = k8_funct_7(B,k3_xcmplx_0(A,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k8_funct_7(k8_funct_7(B,A),C) = k8_funct_7(B,k3_xcmplx_0(A,C)) => k8_funct_7(k8_funct_7(B,A),k1_nat_1(C,1)) = k8_funct_7(B,k3_xcmplx_0(A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_funct_7(k8_funct_7(B,A),C) = k8_funct_7(B,k3_xcmplx_0(A,C)) ) ) ) )).
fof(s2_nat_1__e7_11__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_tarski(k3_msafree2(k1_fscirc_2(A,B,C)),k3_msafree2(k1_fscirc_2(k2_xcmplx_0(A,k5_numbers),B,C))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k3_msafree2(k1_fscirc_2(A,B,C)),k3_msafree2(k1_fscirc_2(k2_xcmplx_0(A,D),B,C))) => r1_tarski(k3_msafree2(k1_fscirc_2(A,B,C)),k3_msafree2(k1_fscirc_2(k2_xcmplx_0(A,k1_nat_1(D,1)),B,C))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k3_msafree2(k1_fscirc_2(A,B,C)),k3_msafree2(k1_fscirc_2(k2_xcmplx_0(A,D),B,C))) ) ) ) )).
fof(s2_nat_1__e7_142__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & ~ v1_xboole_0(D) & m1_subset_1(E,k1_zfmisc_1(D)) & m1_aofa_000(F,A,D,E) & ~ v1_xboole_0(G) & m2_finseq_1(G,D) ) => ( ( ( r2_tarski(k6_xcmplx_0(k3_finseq_1(G),k5_numbers),k4_finseq_1(G)) => ! [H] : ( m1_subset_1(H,D) => ( k2_binop_1(D,u1_struct_0(A),D,F,H,B) = k1_funct_1(G,k6_xcmplx_0(k3_finseq_1(G),k5_numbers)) => k2_binop_1(D,u1_struct_0(A),D,F,H,k16_aofa_000(A,B,C)) = k1_funct_1(G,k3_finseq_1(G)) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(k6_xcmplx_0(k3_finseq_1(G),I),k4_finseq_1(G)) => ! [J] : ( m1_subset_1(J,D) => ( k2_binop_1(D,u1_struct_0(A),D,F,J,B) = k1_funct_1(G,k6_xcmplx_0(k3_finseq_1(G),I)) => k2_binop_1(D,u1_struct_0(A),D,F,J,k16_aofa_000(A,B,C)) = k1_funct_1(G,k3_finseq_1(G)) ) ) ) => ( r2_tarski(k6_xcmplx_0(k3_finseq_1(G),k1_nat_1(I,1)),k4_finseq_1(G)) => ! [K] : ( m1_subset_1(K,D) => ( k2_binop_1(D,u1_struct_0(A),D,F,K,B) = k1_funct_1(G,k6_xcmplx_0(k3_finseq_1(G),k1_nat_1(I,1))) => k2_binop_1(D,u1_struct_0(A),D,F,K,k16_aofa_000(A,B,C)) = k1_funct_1(G,k3_finseq_1(G)) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(k6_xcmplx_0(k3_finseq_1(G),I),k4_finseq_1(G)) => ! [L] : ( m1_subset_1(L,D) => ( k2_binop_1(D,u1_struct_0(A),D,F,L,B) = k1_funct_1(G,k6_xcmplx_0(k3_finseq_1(G),I)) => k2_binop_1(D,u1_struct_0(A),D,F,L,k16_aofa_000(A,B,C)) = k1_funct_1(G,k3_finseq_1(G)) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_14__bagorder,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k5_numbers,C) => ( k8_nat_1(u1_struct_0(A),B,C) != k8_nat_1(u1_struct_0(A),B,k5_numbers) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,k5_numbers),k8_nat_1(u1_struct_0(A),B,C)),u1_orders_2(A)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ( k8_nat_1(u1_struct_0(A),B,E) != k8_nat_1(u1_struct_0(A),B,D) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,D),k8_nat_1(u1_struct_0(A),B,E)),u1_orders_2(A)) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(k1_nat_1(D,1),F) => ( k8_nat_1(u1_struct_0(A),B,F) != k8_nat_1(u1_struct_0(A),B,k1_nat_1(D,1)) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,k1_nat_1(D,1)),k8_nat_1(u1_struct_0(A),B,F)),u1_orders_2(A)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(D,G) => ( k8_nat_1(u1_struct_0(A),B,G) != k8_nat_1(u1_struct_0(A),B,D) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k8_nat_1(u1_struct_0(A),B,D),k8_nat_1(u1_struct_0(A),B,G)),u1_orders_2(A)) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_151__modelc_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k25_modelc_2(k43_modelc_2)) & v1_modelc_2(B) & v5_modelc_3(B) & m2_finseq_1(B,k4_ordinal1) & m2_orders_1(C,k1_orders_1(k1_modelc_3(B)),k6_partfun1(k1_orders_1(k1_modelc_3(B)))) ) => ( ( r6_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k5_numbers),B),k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k1_nat_1(k5_numbers,1)),B)) & r8_modelc_2(k29_modelc_2(k43_modelc_2,A,k5_numbers),k14_modelc_3(B,k12_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k5_numbers),B)))) & ! [D] : ( v7_ordinal1(D) => ( ( r6_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),D),B),k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k1_nat_1(D,1)),B)) & r8_modelc_2(k29_modelc_2(k43_modelc_2,A,D),k14_modelc_3(B,k12_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),D),B)))) ) => ( r6_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k1_nat_1(D,1)),B),k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k1_nat_1(k1_nat_1(D,1),1)),B)) & r8_modelc_2(k29_modelc_2(k43_modelc_2,A,k1_nat_1(D,1)),k14_modelc_3(B,k12_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k1_nat_1(D,1)),B)))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r6_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),D),B),k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),k1_nat_1(D,1)),B)) & r8_modelc_2(k29_modelc_2(k43_modelc_2,A,D),k14_modelc_3(B,k12_modelc_3(B,k10_modelc_3(k8_nat_1(k23_modelc_3(B),k37_modelc_3(A,B,C),D),B)))) ) ) ) ) )).
fof(s2_nat_1__e7_17__series_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers) = k7_xcmplx_0(k6_xcmplx_0(1,k1_newton(A,k1_nat_1(k5_numbers,1))),k6_xcmplx_0(1,A)) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,k3_series_1(B),C) = k7_xcmplx_0(k6_xcmplx_0(1,k1_newton(A,k1_nat_1(C,1))),k6_xcmplx_0(1,A)) => k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1)) = k7_xcmplx_0(k6_xcmplx_0(1,k1_newton(A,k1_nat_1(k1_nat_1(C,1),1))),k6_xcmplx_0(1,A)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k7_xcmplx_0(k6_xcmplx_0(1,k1_newton(A,k1_nat_1(C,1))),k6_xcmplx_0(1,A)) ) ) ) )).
fof(s2_nat_1__e7_18__scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k5_numbers) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k1_nat_1(E,1)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) ) ) ) ) )).
fof(s2_nat_1__e7_1_4_1__mesfunc4,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) & k12_supinf_2(B,k5_numbers) = k2_supinf_1 ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(C,k3_finseq_1(A)) & k12_supinf_2(B,C) = k2_supinf_1 ) => ~ ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k12_supinf_2(B,k1_nat_1(C,1)) = k2_supinf_1 ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k3_finseq_1(A)) & k12_supinf_2(B,C) = k2_supinf_1 ) ) ) ) )).
fof(s2_nat_1__e7_204__scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ( ( v4_scmyciel(k1_funct_1(k13_scmyciel(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( v4_scmyciel(k1_funct_1(k13_scmyciel(A),B)) => v4_scmyciel(k1_funct_1(k13_scmyciel(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => v4_scmyciel(k1_funct_1(k13_scmyciel(A),B)) ) ) ) )).
fof(s2_nat_1__e7_20_5_6__goedcpuc,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(C,k4_ordinal1) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( D = k6_xcmplx_0(C,k5_numbers) & r1_tarski(k6_goedcpuc(A,B,D),k6_goedcpuc(A,B,C)) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ~ ( r1_xxreal_0(E,C) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( F = k6_xcmplx_0(C,E) & r1_tarski(k6_goedcpuc(A,B,F),k6_goedcpuc(A,B,C)) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(E,1),C) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( G = k6_xcmplx_0(C,k1_nat_1(E,1)) & r1_tarski(k6_goedcpuc(A,B,G),k6_goedcpuc(A,B,C)) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,C) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( H = k6_xcmplx_0(C,E) & r1_tarski(k6_goedcpuc(A,B,H),k6_goedcpuc(A,B,C)) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_211__fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ( ( ! [C] : ( ( v12_fomodel2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_fomodel4(A))) ) => v12_fomodel2(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,k5_numbers),C),A) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v12_fomodel2(E,A) & m1_subset_1(E,k1_zfmisc_1(k1_fomodel4(A))) ) => v12_fomodel2(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,D),E),A) ) => ! [F] : ( ( v12_fomodel2(F,A) & m1_subset_1(F,k1_zfmisc_1(k1_fomodel4(A))) ) => v12_fomodel2(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,k1_nat_1(D,1)),F),A) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( ( v12_fomodel2(G,A) & m1_subset_1(G,k1_zfmisc_1(k1_fomodel4(A))) ) => v12_fomodel2(k3_funct_2(k1_zfmisc_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k5_fomodel4(A,B,D),G),A) ) ) ) ) )).
fof(s2_nat_1__e7_21__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v7_ordinal1(E) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( F = k5_numbers & r1_xxreal_0(F,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,D,C,F),k1_bcialg_2(A,D,B,F)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => ( ( H = G & r1_xxreal_0(H,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,D,C,H),k1_bcialg_2(A,D,B,H)) ) ) => ! [I] : ( v7_ordinal1(I) => ( ( I = k1_nat_1(G,1) & r1_xxreal_0(I,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,D,C,I),k1_bcialg_2(A,D,B,I)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( v7_ordinal1(J) => ( ( J = G & r1_xxreal_0(J,E) ) => r1_bcialg_1(A,k1_bcialg_2(A,D,C,J),k1_bcialg_2(A,D,B,J)) ) ) ) ) ) )).
fof(s2_nat_1__e7_21__irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(k1_funct_1(k2_irrat_1(k5_numbers),A),k7_xcmplx_0(1,k7_newton(k5_numbers))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k1_funct_1(k2_irrat_1(B),A),k7_xcmplx_0(1,k7_newton(B))) => r1_xxreal_0(k1_funct_1(k2_irrat_1(k1_nat_1(B,1)),A),k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_funct_1(k2_irrat_1(B),A),k7_xcmplx_0(1,k7_newton(B))) ) ) ) )).
fof(s2_nat_1__e7_22_10__euler_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & m2_finseq_1(C,k4_ordinal1) & m2_finseq_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(D)) => k4_nat_d(k2_wsierp_1(k17_finseq_1(k4_ordinal1,k5_numbers,D)),B) = k4_nat_d(k3_xcmplx_0(k1_newton(A,k3_finseq_1(k17_finseq_1(k4_ordinal1,k5_numbers,D))),k2_wsierp_1(k17_finseq_1(k4_ordinal1,k5_numbers,C))),B) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(D)) => k4_nat_d(k2_wsierp_1(k17_finseq_1(k4_ordinal1,E,D)),B) = k4_nat_d(k3_xcmplx_0(k1_newton(A,k3_finseq_1(k17_finseq_1(k4_ordinal1,E,D))),k2_wsierp_1(k17_finseq_1(k4_ordinal1,E,C))),B) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(D)) => k4_nat_d(k2_wsierp_1(k17_finseq_1(k4_ordinal1,k1_nat_1(E,1),D)),B) = k4_nat_d(k3_xcmplx_0(k1_newton(A,k3_finseq_1(k17_finseq_1(k4_ordinal1,k1_nat_1(E,1),D))),k2_wsierp_1(k17_finseq_1(k4_ordinal1,k1_nat_1(E,1),C))),B) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k3_finseq_1(D)) => k4_nat_d(k2_wsierp_1(k17_finseq_1(k4_ordinal1,E,D)),B) = k4_nat_d(k3_xcmplx_0(k1_newton(A,k3_finseq_1(k17_finseq_1(k4_ordinal1,E,D))),k2_wsierp_1(k17_finseq_1(k4_ordinal1,E,C))),B) ) ) ) ) )).
fof(s2_nat_1__e7_23__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m2_subset_1(C,u1_struct_0(A),k5_bcialg_1(A)) => ( C = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),k5_numbers) => r2_tarski(k2_bcialg_6(A,B,k5_numbers),k7_bcialg_1(A,C)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_subset_1(E,u1_struct_0(A),k5_bcialg_1(A)) => ( E = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),D) => r2_tarski(k2_bcialg_6(A,B,D),k7_bcialg_1(A,E)) ) ) => ! [F] : ( m2_subset_1(F,u1_struct_0(A),k5_bcialg_1(A)) => ( F = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),k1_nat_1(D,1)) => r2_tarski(k2_bcialg_6(A,B,k1_nat_1(D,1)),k7_bcialg_1(A,F)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_subset_1(G,u1_struct_0(A),k5_bcialg_1(A)) => ( G = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),D) => r2_tarski(k2_bcialg_6(A,B,D),k7_bcialg_1(A,G)) ) ) ) ) ) )).
fof(s2_nat_1__e7_23__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k3_clopban3(A,k3_rlvect_1(A,B,C),k5_numbers) = k1_normsp_0(A,k1_bhsp_4(A,k2_clopban4(k5_numbers,A,B,C)),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k3_clopban3(A,k3_rlvect_1(A,B,C),D) = k1_normsp_0(A,k1_bhsp_4(A,k2_clopban4(D,A,B,C)),D) => k3_clopban3(A,k3_rlvect_1(A,B,C),k1_nat_1(D,1)) = k1_normsp_0(A,k1_bhsp_4(A,k2_clopban4(k1_nat_1(D,1),A,B,C)),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k3_clopban3(A,k3_rlvect_1(A,B,C),D) = k1_normsp_0(A,k1_bhsp_4(A,k2_clopban4(D,A,B,C)),D) ) ) ) )).
fof(s2_nat_1__e7_23__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & l1_turing_1(B) & m1_subset_1(C,k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B)))) ) => ( ( k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,k5_numbers)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,D)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A) => k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,k1_nat_1(D,1))) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),k2_xcmplx_0(A,D)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(B),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(B))),k9_turing_1(B,C),A) ) ) ) )).
fof(s2_nat_1__e7_25__real_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ( ~ r1_xxreal_0(k5_numbers,A) => ( k8_nat_1(k4_ordinal1,k2_real_3(C,B),k5_numbers) = k5_numbers & k8_nat_1(k4_ordinal1,k1_real_3(C,B),k5_numbers) = k5_numbers ) ) & ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(D,A) => ( k8_nat_1(k4_ordinal1,k2_real_3(C,B),D) = k5_numbers & k8_nat_1(k4_ordinal1,k1_real_3(C,B),D) = k5_numbers ) ) => ( ~ r1_xxreal_0(k1_nat_1(D,1),A) => ( k8_nat_1(k4_ordinal1,k2_real_3(C,B),k1_nat_1(D,1)) = k5_numbers & k8_nat_1(k4_ordinal1,k1_real_3(C,B),k1_nat_1(D,1)) = k5_numbers ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,A) => ( k8_nat_1(k4_ordinal1,k2_real_3(C,B),D) = k5_numbers & k8_nat_1(k4_ordinal1,k1_real_3(C,B),D) = k5_numbers ) ) ) ) ) )).
fof(s2_nat_1__e7_26__circuit2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) & m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) & m1_msafree2(E,A,B) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_xxreal_0(k6_circuit1(A,B,F),k5_numbers) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),k5_numbers),F) = k5_circuit2(A,B,F,E) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r1_xxreal_0(k6_circuit1(A,B,H),G) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),G),H) = k5_circuit2(A,B,H,E) ) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r1_xxreal_0(k6_circuit1(A,B,I),k1_nat_1(G,1)) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),k1_nat_1(G,1)),I) = k5_circuit2(A,B,I,E) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r1_xxreal_0(k6_circuit1(A,B,J),G) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),G),J) = k5_circuit2(A,B,J,E) ) ) ) ) ) )).
fof(s2_nat_1__e7_2__nat_5,axiom,( ( ~ r1_xxreal_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(k5_numbers,2)),1),k11_newton(2,k1_nat_1(k5_numbers,1))) & ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(A,2)),1),k11_newton(2,k1_nat_1(A,1))) => ~ r1_xxreal_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(k1_nat_1(A,1),2)),1),k11_newton(2,k1_nat_1(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(A,2)),1),k11_newton(2,k1_nat_1(A,1))) ) )).
fof(s2_nat_1__e7_30__asympt_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_xreal_0(B) & m1_subset_1(C,k4_ordinal1) ) => ( ( k7_series_1(A,C,k5_numbers) = k3_xcmplx_0(B,k6_xcmplx_0(C,k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k7_series_1(A,C,D) = k3_xcmplx_0(B,k6_xcmplx_0(C,D)) => k7_series_1(A,C,k1_nat_1(D,1)) = k3_xcmplx_0(B,k6_xcmplx_0(C,k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k7_series_1(A,C,D) = k3_xcmplx_0(B,k6_xcmplx_0(C,D)) ) ) ) )).
fof(s2_nat_1__e7_30__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( ( r1_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),k7_matrlin2(A,B,B,C,k1_vectsp11(B,D,k5_numbers)),k1_vectsp11(C,E,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( r1_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),k7_matrlin2(A,B,B,C,k1_vectsp11(B,D,F)),k1_vectsp11(C,E,F)) => r1_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),k7_matrlin2(A,B,B,C,k1_vectsp11(B,D,k1_nat_1(F,1))),k1_vectsp11(C,E,k1_nat_1(F,1))) ) ) ) => ! [F] : ( v7_ordinal1(F) => r1_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),k7_matrlin2(A,B,B,C,k1_vectsp11(B,D,F)),k1_vectsp11(C,E,F)) ) ) ) )).
fof(s2_nat_1__e7_31__ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_int_2(B) & m1_subset_1(C,u1_struct_0(k9_int_3(B))) ) => ( ( k9_nat_1(u1_struct_0(k9_int_3(B)),k4_group_1(k9_int_3(B)),C,k5_numbers) = k4_nat_d(k1_newton(A,k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( k9_nat_1(u1_struct_0(k9_int_3(B)),k4_group_1(k9_int_3(B)),C,D) = k4_nat_d(k1_newton(A,D),B) => k9_nat_1(u1_struct_0(k9_int_3(B)),k4_group_1(k9_int_3(B)),C,k1_nat_1(D,1)) = k4_nat_d(k1_newton(A,k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => k9_nat_1(u1_struct_0(k9_int_3(B)),k4_group_1(k9_int_3(B)),C,D) = k4_nat_d(k1_newton(A,D),B) ) ) ) )).
fof(s2_nat_1__e7_32_1__tdlat_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v7_ordinal1(C) ) => ( ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( D = k7_relat_1(B,k2_finseq_1(k5_numbers)) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(1,C) ) => r1_tarski(k6_setfam_1(u1_struct_0(A),k1_tdlat_2(A,D)),k1_tops_1(A,k6_setfam_1(u1_struct_0(A),D))) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( F = k7_relat_1(B,k2_finseq_1(E)) & r1_xxreal_0(E,C) & r1_xxreal_0(1,C) ) => r1_tarski(k6_setfam_1(u1_struct_0(A),k1_tdlat_2(A,F)),k1_tops_1(A,k6_setfam_1(u1_struct_0(A),F))) ) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( G = k7_relat_1(B,k2_finseq_1(k1_nat_1(E,1))) & r1_xxreal_0(k1_nat_1(E,1),C) & r1_xxreal_0(1,C) ) => r1_tarski(k6_setfam_1(u1_struct_0(A),k1_tdlat_2(A,G)),k1_tops_1(A,k6_setfam_1(u1_struct_0(A),G))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( H = k7_relat_1(B,k2_finseq_1(E)) & r1_xxreal_0(E,C) & r1_xxreal_0(1,C) ) => r1_tarski(k6_setfam_1(u1_struct_0(A),k1_tdlat_2(A,H)),k1_tops_1(A,k6_setfam_1(u1_struct_0(A),H))) ) ) ) ) ) )).
fof(s2_nat_1__e7_32__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,k3_rlvect_1(A,B,C))),k5_numbers) = k1_normsp_0(A,k1_bhsp_4(A,k4_clopban4(k5_numbers,A,B,C)),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,k3_rlvect_1(A,B,C))),D) = k1_normsp_0(A,k1_bhsp_4(A,k4_clopban4(D,A,B,C)),D) => k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,k3_rlvect_1(A,B,C))),k1_nat_1(D,1)) = k1_normsp_0(A,k1_bhsp_4(A,k4_clopban4(k1_nat_1(D,1),A,B,C)),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,k3_rlvect_1(A,B,C))),D) = k1_normsp_0(A,k1_bhsp_4(A,k4_clopban4(D,A,B,C)),D) ) ) ) )).
fof(s2_nat_1__e7_32__scmfsa7b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k5_numbers),D) = k1_funct_1(A,D) & ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E),D) = k1_funct_1(A,D) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k1_nat_1(E,1)),D) = k1_funct_1(A,D) ) ) ) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E),D) = k1_funct_1(A,D) ) ) ) )).
fof(s2_nat_1__e7_32__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C))) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C))) ) ) ) )).
fof(s2_nat_1__e7_34__sfmastr2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ( ( ~ r1_xxreal_0(k1_funct_1(A,C),k5_numbers) => ( r5_scmfsa7b(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k5_numbers),k1_funct_4(B,k1_sfmastr2(C,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers)))))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 ) ) & ( r1_xxreal_0(k5_numbers,k1_funct_1(A,C)) => ( k2_xcmplx_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k5_numbers),C),k5_numbers) = k1_funct_1(A,C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k5_numbers),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))))))) = k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k5_numbers),C) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( ( ~ r1_xxreal_0(k1_funct_1(A,C),D) => ( r5_scmfsa7b(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),k1_funct_4(B,k1_sfmastr2(C,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers)))))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),k4_scmfsa_2(k5_numbers)) = 1 ) ) & ( r1_xxreal_0(D,k1_funct_1(A,C)) => ( k2_xcmplx_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),C),D) = k1_funct_1(A,C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))))))) = k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),C) ) ) ) => ( ( ~ r1_xxreal_0(k1_funct_1(A,C),k1_nat_1(D,1)) => ( r5_scmfsa7b(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k1_nat_1(D,1)),k1_funct_4(B,k1_sfmastr2(C,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers)))))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k1_nat_1(D,1)),k4_scmfsa_2(k5_numbers)) = 1 ) ) & ( r1_xxreal_0(k1_nat_1(D,1),k1_funct_1(A,C)) => ( k2_xcmplx_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k1_nat_1(D,1)),C),k1_nat_1(D,1)) = k1_funct_1(A,C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k1_nat_1(D,1)),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))))))) = k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),k1_nat_1(D,1)),C) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( ~ r1_xxreal_0(k1_funct_1(A,C),D) => ( r5_scmfsa7b(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),k1_funct_4(B,k1_sfmastr2(C,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers)))))) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),k4_scmfsa_2(k5_numbers)) = 1 ) ) & ( r1_xxreal_0(D,k1_funct_1(A,C)) => ( k2_xcmplx_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),C),D) = k1_funct_1(A,C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))))))) = k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,k4_scmfsa6a(k3_scmfsa_x(C,k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(C,C))),k8_scmfsa_2(C,k4_scmfsa_2(k5_numbers))),C),D),C) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_35__extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( ( k5_extpro_1(A,B,C,D,k5_numbers) = D & ! [E] : ( v7_ordinal1(E) => ( k5_extpro_1(A,B,C,D,E) = D => k5_extpro_1(A,B,C,D,k1_nat_1(E,1)) = D ) ) ) => ! [E] : ( v7_ordinal1(E) => k5_extpro_1(A,B,C,D,E) = D ) ) ) )).
fof(s2_nat_1__e7_35__newton01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(k5_numbers,D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(k5_numbers,D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(k5_numbers,D),1)))) & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(E,D),1)))) => ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(k1_nat_1(E,1),D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(k1_nat_1(E,1),D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(k1_nat_1(E,1),D),1)))) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ r1_xxreal_0(k1_newton(C,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(k2_xcmplx_0(E,D),1)),k1_newton(B,k2_xcmplx_0(k2_xcmplx_0(E,D),1)))) ) ) ) )).
fof(s2_nat_1__e7_38_2__amistd_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,E,D,k5_numbers),k5_extpro_1(A,B,C,D,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,E,D,F),k5_extpro_1(A,B,C,D,F)) => r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,E,D,k1_nat_1(F,1)),k5_extpro_1(A,B,C,D,k1_nat_1(F,1))) ) ) ) => ! [F] : ( v7_ordinal1(F) => r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,E,D,F),k5_extpro_1(A,B,C,D,F)) ) ) ) )).
fof(s2_nat_1__e7_38_5_2__sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & m1_scmfsa_2(E) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) & m1_subset_1(G,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,G) => ( r1_xxreal_0(k5_numbers,k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(k5_numbers,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),C) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k5_numbers),D) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),D) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(H,G) => ( r1_xxreal_0(H,k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(H,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),C) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),D) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),D) ) ) ) => ( r1_xxreal_0(k1_nat_1(H,1),G) => ( r1_xxreal_0(k1_nat_1(H,1),k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(H,1)),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(H,1)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(k1_nat_1(H,1),k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(H,1)),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(H,1)),C) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),k1_nat_1(H,1)),D) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),D) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,G) => ( r1_xxreal_0(H,k5_numbers) | ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),k4_scmfsa_2(k5_numbers)) = 1 & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B))) = k2_xcmplx_0(H,k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C)) & k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),E) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),E) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),C) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),C) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),C,D,k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)),E),k14_scmfsa_2(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),B,E)),k4_scmfsa8b(k9_scmfsa_m(2,k6_scmfsa_m(C,D,B)),k9_scmfsa_m(1,k6_scmfsa_m(C,D,B)),k11_compos_1(k1_scmfsa_2,k6_scmfsa_2(B,k9_scmfsa_m(3,k6_scmfsa_m(C,D,B)))),k4_compos_1(k1_scmfsa_2))),k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A))),H),D) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,k6_scmfsa_2(B,C),k1_scmfsa_m(A)),D) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_38__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,k3_rlvect_1(A,B,C))),k5_numbers) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k7_lopban_4(k5_numbers,A,B,C)),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,k3_rlvect_1(A,B,C))),D) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k7_lopban_4(D,A,B,C)),D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,k3_rlvect_1(A,B,C))),k1_nat_1(D,1)) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k7_lopban_4(k1_nat_1(D,1),A,B,C)),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,k3_rlvect_1(A,B,C))),D) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k7_lopban_4(D,A,B,C)),D) ) ) ) )).
fof(s2_nat_1__e7_38__polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k2_polynom8(A,k9_algstr_0(A,B),k5_numbers) = k9_algstr_0(A,k2_polynom8(A,B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( k2_polynom8(A,k9_algstr_0(A,B),C) = k9_algstr_0(A,k2_polynom8(A,B,C)) => k2_polynom8(A,k9_algstr_0(A,B),k1_nat_1(C,1)) = k9_algstr_0(A,k2_polynom8(A,B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => k2_polynom8(A,k9_algstr_0(A,B),C) = k9_algstr_0(A,k2_polynom8(A,B,C)) ) ) ) )).
fof(s2_nat_1__e7_38__scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(A,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) & v1_int_1(E) & v1_funct_1(H) & v1_funct_2(H,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(I,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,k4_ordinal1) & v5_relat_1(J,u1_compos_1(k1_scmpds_2)) & v1_funct_1(J) & v1_partfun1(J,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(H,I),k5_numbers) & ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(K,F) => r1_xxreal_0(k2_xcmplx_0(E,k1_funct_1(I,k2_scmpds_2(k1_funct_1(A,C),D))),k1_funct_1(I,K)) ) ) & ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(K,G) => k1_funct_1(I,K) = k1_funct_1(A,K) ) ) & k1_funct_1(I,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_8(C,D,B),I,J) & r2_scmpds_6(k2_scmpds_8(C,D,B),I,J) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(M,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,k4_ordinal1) & v5_relat_1(N,u1_compos_1(k1_scmpds_2)) & v1_funct_1(N) & v1_partfun1(N,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(H,M),L) & ! [O] : ( ( v1_ami_2(O) & m1_subset_1(O,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(O,F) => r1_xxreal_0(k2_xcmplx_0(E,k1_funct_1(M,k2_scmpds_2(k1_funct_1(A,C),D))),k1_funct_1(M,O)) ) ) & ! [O] : ( ( v1_ami_2(O) & m1_subset_1(O,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(O,G) => k1_funct_1(M,O) = k1_funct_1(A,O) ) ) & k1_funct_1(M,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_8(C,D,B),M,N) & r2_scmpds_6(k2_scmpds_8(C,D,B),M,N) ) ) ) ) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,u1_struct_0(k1_scmpds_2)) & v1_funct_1(P) & v5_funct_1(P,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(P,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(P,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,k4_ordinal1) & v5_relat_1(Q,u1_compos_1(k1_scmpds_2)) & v1_funct_1(Q) & v1_partfun1(Q,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(H,P),k1_nat_1(L,1)) & ! [R] : ( ( v1_ami_2(R) & m1_subset_1(R,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(R,F) => r1_xxreal_0(k2_xcmplx_0(E,k1_funct_1(P,k2_scmpds_2(k1_funct_1(A,C),D))),k1_funct_1(P,R)) ) ) & ! [R] : ( ( v1_ami_2(R) & m1_subset_1(R,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(R,G) => k1_funct_1(P,R) = k1_funct_1(A,R) ) ) & k1_funct_1(P,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_8(C,D,B),P,Q) & r2_scmpds_6(k2_scmpds_8(C,D,B),P,Q) ) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ! [S] : ( ( v1_relat_1(S) & v4_relat_1(S,u1_struct_0(k1_scmpds_2)) & v1_funct_1(S) & v5_funct_1(S,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(S,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(S,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [T] : ( ( v1_relat_1(T) & v4_relat_1(T,k4_ordinal1) & v5_relat_1(T,u1_compos_1(k1_scmpds_2)) & v1_funct_1(T) & v1_partfun1(T,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_recdef_1(H,S),L) & ! [U] : ( ( v1_ami_2(U) & m1_subset_1(U,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(U,F) => r1_xxreal_0(k2_xcmplx_0(E,k1_funct_1(S,k2_scmpds_2(k1_funct_1(A,C),D))),k1_funct_1(S,U)) ) ) & ! [U] : ( ( v1_ami_2(U) & m1_subset_1(U,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(U,G) => k1_funct_1(S,U) = k1_funct_1(A,U) ) ) & k1_funct_1(S,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_8(C,D,B),S,T) & r2_scmpds_6(k2_scmpds_8(C,D,B),S,T) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_3__glib_003,axiom,( ( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(A)) => r1_xxreal_0(k5_numbers,k1_funct_1(A,C)) ) ) & k3_finseq_1(k1_glib_003(k1_numbers,A,B)) = k5_numbers ) => r1_xxreal_0(k18_rvsum_1(k1_glib_003(k1_numbers,A,B)),k18_rvsum_1(A)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,k1_numbers) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(E)) => ( ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k4_finseq_1(E)) => r1_xxreal_0(k5_numbers,k1_funct_1(E,G)) ) ) & k3_finseq_1(k1_glib_003(k1_numbers,E,F)) = D ) => r1_xxreal_0(k18_rvsum_1(k1_glib_003(k1_numbers,E,F)),k18_rvsum_1(E)) ) ) ) => ! [H] : ( m2_finseq_1(H,k1_numbers) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(H)) => ( ( ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( r2_tarski(J,k4_finseq_1(H)) => r1_xxreal_0(k5_numbers,k1_funct_1(H,J)) ) ) & k3_finseq_1(k1_glib_003(k1_numbers,H,I)) = k1_nat_1(D,1) ) => r1_xxreal_0(k18_rvsum_1(k1_glib_003(k1_numbers,H,I)),k18_rvsum_1(H)) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,k1_numbers) => ! [L] : ( m1_subset_1(L,k1_zfmisc_1(K)) => ( ( ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(K)) => r1_xxreal_0(k5_numbers,k1_funct_1(K,M)) ) ) & k3_finseq_1(k1_glib_003(k1_numbers,K,L)) = D ) => r1_xxreal_0(k18_rvsum_1(k1_glib_003(k1_numbers,K,L)),k18_rvsum_1(K)) ) ) ) ) )).
fof(s2_nat_1__e7_3__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k1_card_1(a_3_1_lexbfs(A,B,C)) = k1_nat_1(k5_numbers,1) & ! [D] : ( v7_ordinal1(D) => ( k1_card_1(a_4_1_lexbfs(A,B,C,D)) = k1_nat_1(D,1) => k1_card_1(a_4_2_lexbfs(A,B,C,D)) = k1_nat_1(k1_nat_1(D,1),1) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_card_1(a_4_1_lexbfs(A,B,C,D)) = k1_nat_1(D,1) ) ) ) )).
fof(s2_nat_1__e7_41__fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & m2_finseq_1(C,A) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_xcmplx_0(k5_numbers,1),D) => k1_funct_1(k4_fomodel0(A,B,k17_finseq_1(A,D,C)),k5_numbers) = k1_funct_1(k4_fomodel0(A,B,C),k5_numbers) ) ) & ( r1_xxreal_0(k2_xcmplx_0(k5_numbers,1),k3_finseq_1(C)) => r2_tarski(k1_funct_1(k4_fomodel0(A,B,C),k5_numbers),A) ) & ! [E] : ( v7_ordinal1(E) => ( ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k2_xcmplx_0(E,1),F) => k1_funct_1(k4_fomodel0(A,B,k17_finseq_1(A,F,C)),E) = k1_funct_1(k4_fomodel0(A,B,C),E) ) ) & ( r1_xxreal_0(k2_xcmplx_0(E,1),k3_finseq_1(C)) => r2_tarski(k1_funct_1(k4_fomodel0(A,B,C),E),A) ) ) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(E,1),1),G) => k1_funct_1(k4_fomodel0(A,B,k17_finseq_1(A,G,C)),k1_nat_1(E,1)) = k1_funct_1(k4_fomodel0(A,B,C),k1_nat_1(E,1)) ) ) & ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(E,1),1),k3_finseq_1(C)) => r2_tarski(k1_funct_1(k4_fomodel0(A,B,C),k1_nat_1(E,1)),A) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(k2_xcmplx_0(E,1),H) => k1_funct_1(k4_fomodel0(A,B,k17_finseq_1(A,H,C)),E) = k1_funct_1(k4_fomodel0(A,B,C),E) ) ) & ( r1_xxreal_0(k2_xcmplx_0(E,1),k3_finseq_1(C)) => r2_tarski(k1_funct_1(k4_fomodel0(A,B,C),E),A) ) ) ) ) ) )).
fof(s2_nat_1__e7_42__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers))),k2_glib_002(A,B)) & ! [C] : ( v7_ordinal1(C) => ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k2_glib_002(A,B)) => r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(C,1)))),k2_glib_002(A,B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k2_glib_002(A,B)) ) ) ) )).
fof(s2_nat_1__e7_44__irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( v1_int_1(k7_xcmplx_0(k7_newton(k2_xcmplx_0(k5_numbers,A)),k7_newton(A))) & ! [B] : ( v7_ordinal1(B) => ( v1_int_1(k7_xcmplx_0(k7_newton(k2_xcmplx_0(B,A)),k7_newton(A))) => v1_int_1(k7_xcmplx_0(k7_newton(k2_xcmplx_0(k1_nat_1(B,1),A)),k7_newton(A))) ) ) ) => ! [B] : ( v7_ordinal1(B) => v1_int_1(k7_xcmplx_0(k7_newton(k2_xcmplx_0(B,A)),k7_newton(A))) ) ) ) )).
fof(s2_nat_1__e7_45__scm_halt,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k5_numbers),C) = k1_funct_1(B,C) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,D),C) = k1_funct_1(B,C) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,k1_nat_1(D,1)),C) = k1_funct_1(B,C) ) ) ) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,B,D),C) = k1_funct_1(B,C) ) ) ) )).
fof(s2_nat_1__e7_47__series_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers),k8_nat_1(k1_numbers,k3_series_1(C),k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),D),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),D),k8_nat_1(k1_numbers,k3_series_1(C),D))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(D,1)),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(D,1)),k8_nat_1(k1_numbers,k3_series_1(C),k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),D),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),D),k8_nat_1(k1_numbers,k3_series_1(C),D))) ) ) ) )).
fof(s2_nat_1__e7_48__series_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers),k8_nat_1(k1_numbers,k3_series_1(C),k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),D),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),D),k8_nat_1(k1_numbers,k3_series_1(C),D))) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(D,1)),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(D,1)),k8_nat_1(k1_numbers,k3_series_1(C),k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),D),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),D),k8_nat_1(k1_numbers,k3_series_1(C),D))) ) ) ) )).
fof(s2_nat_1__e7_4__weddwitt,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( k1_card_1(k1_funct_2(k5_numbers,A)) = k1_newton(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_card_1(k1_funct_2(B,A)) = k1_newton(A,B) => k1_card_1(k1_funct_2(k1_nat_1(B,1),A)) = k1_newton(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_card_1(k1_funct_2(B,A)) = k1_newton(A,B) ) ) ) )).
fof(s2_nat_1__e7_50__matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_matrlin(D,A,B) => ! [E] : ( m1_matrlin(E,A,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k3_finseq_1(D) = k3_finseq_1(E) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(G,B,C) & v1_mod_2(G,A,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ~ ( k5_numbers = k1_card_1(a_7_0_matrixj2(A,B,C,D,E,F,G)) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(D)) & k3_funct_2(u1_struct_0(B),u1_struct_0(C),G,k7_partfun1(u1_struct_0(B),D,H)) != k3_vectsp_1(A,C,F,k7_partfun1(u1_struct_0(C),E,H)) & ~ ( r2_tarski(k1_nat_1(H,1),k4_finseq_1(D)) & k3_funct_2(u1_struct_0(B),u1_struct_0(C),G,k7_partfun1(u1_struct_0(B),D,H)) = k3_rlvect_1(C,k3_vectsp_1(A,C,F,k7_partfun1(u1_struct_0(C),E,H)),k7_partfun1(u1_struct_0(C),E,k1_nat_1(H,1))) ) ) ) & ! [H] : ( ( v2_relat_1(H) & m1_matrixj2(H,A,F) ) => k1_matrlin2(A,B,C,G,D,E) != k20_matrixj1(u1_struct_0(A),k4_struct_0(A),H) ) ) ) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( ( ~ v2_struct_0(J) & v13_algstr_0(J) & v8_vectsp_1(J,A) & v9_vectsp_1(J,A) & v10_vectsp_1(J,A) & v11_vectsp_1(J,A) & v2_rlvect_1(J) & v3_rlvect_1(J) & v4_rlvect_1(J) & v1_matrlin(J,A) & l1_vectsp_1(J,A) ) => ! [K] : ( ( ~ v2_struct_0(K) & v13_algstr_0(K) & v8_vectsp_1(K,A) & v9_vectsp_1(K,A) & v10_vectsp_1(K,A) & v11_vectsp_1(K,A) & v2_rlvect_1(K) & v3_rlvect_1(K) & v4_rlvect_1(K) & v1_matrlin(K,A) & l1_vectsp_1(K,A) ) => ! [L] : ( m1_matrlin(L,A,J) => ! [M] : ( m1_matrlin(M,A,K) => ! [N] : ( m1_subset_1(N,u1_struct_0(A)) => ( k3_finseq_1(L) = k3_finseq_1(M) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,u1_struct_0(J),u1_struct_0(K)) & v13_vectsp_1(O,J,K) & v1_mod_2(O,A,J,K) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(J),u1_struct_0(K)))) ) => ~ ( I = k1_card_1(a_7_0_matrixj2(A,J,K,L,M,N,O)) & ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(P,k4_finseq_1(L)) & k3_funct_2(u1_struct_0(J),u1_struct_0(K),O,k7_partfun1(u1_struct_0(J),L,P)) != k3_vectsp_1(A,K,N,k7_partfun1(u1_struct_0(K),M,P)) & ~ ( r2_tarski(k1_nat_1(P,1),k4_finseq_1(L)) & k3_funct_2(u1_struct_0(J),u1_struct_0(K),O,k7_partfun1(u1_struct_0(J),L,P)) = k3_rlvect_1(K,k3_vectsp_1(A,K,N,k7_partfun1(u1_struct_0(K),M,P)),k7_partfun1(u1_struct_0(K),M,k1_nat_1(P,1))) ) ) ) & ! [P] : ( ( v2_relat_1(P) & m1_matrixj2(P,A,N) ) => k1_matrlin2(A,J,K,O,L,M) != k20_matrixj1(u1_struct_0(A),k4_struct_0(A),P) ) ) ) ) ) ) ) ) ) => ! [Q] : ( ( ~ v2_struct_0(Q) & v13_algstr_0(Q) & v8_vectsp_1(Q,A) & v9_vectsp_1(Q,A) & v10_vectsp_1(Q,A) & v11_vectsp_1(Q,A) & v2_rlvect_1(Q) & v3_rlvect_1(Q) & v4_rlvect_1(Q) & v1_matrlin(Q,A) & l1_vectsp_1(Q,A) ) => ! [R] : ( ( ~ v2_struct_0(R) & v13_algstr_0(R) & v8_vectsp_1(R,A) & v9_vectsp_1(R,A) & v10_vectsp_1(R,A) & v11_vectsp_1(R,A) & v2_rlvect_1(R) & v3_rlvect_1(R) & v4_rlvect_1(R) & v1_matrlin(R,A) & l1_vectsp_1(R,A) ) => ! [S] : ( m1_matrlin(S,A,Q) => ! [T] : ( m1_matrlin(T,A,R) => ! [U] : ( m1_subset_1(U,u1_struct_0(A)) => ( k3_finseq_1(S) = k3_finseq_1(T) => ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,u1_struct_0(Q),u1_struct_0(R)) & v13_vectsp_1(V,Q,R) & v1_mod_2(V,A,Q,R) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(Q),u1_struct_0(R)))) ) => ~ ( k1_nat_1(I,1) = k1_card_1(a_7_0_matrixj2(A,Q,R,S,T,U,V)) & ! [W] : ( v7_ordinal1(W) => ~ ( r2_tarski(W,k4_finseq_1(S)) & k3_funct_2(u1_struct_0(Q),u1_struct_0(R),V,k7_partfun1(u1_struct_0(Q),S,W)) != k3_vectsp_1(A,R,U,k7_partfun1(u1_struct_0(R),T,W)) & ~ ( r2_tarski(k1_nat_1(W,1),k4_finseq_1(S)) & k3_funct_2(u1_struct_0(Q),u1_struct_0(R),V,k7_partfun1(u1_struct_0(Q),S,W)) = k3_rlvect_1(R,k3_vectsp_1(A,R,U,k7_partfun1(u1_struct_0(R),T,W)),k7_partfun1(u1_struct_0(R),T,k1_nat_1(W,1))) ) ) ) & ! [W] : ( ( v2_relat_1(W) & m1_matrixj2(W,A,U) ) => k1_matrlin2(A,Q,R,V,S,T) != k20_matrixj1(u1_struct_0(A),k4_struct_0(A),W) ) ) ) ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [X] : ( ( ~ v2_struct_0(X) & v13_algstr_0(X) & v8_vectsp_1(X,A) & v9_vectsp_1(X,A) & v10_vectsp_1(X,A) & v11_vectsp_1(X,A) & v2_rlvect_1(X) & v3_rlvect_1(X) & v4_rlvect_1(X) & v1_matrlin(X,A) & l1_vectsp_1(X,A) ) => ! [Y] : ( ( ~ v2_struct_0(Y) & v13_algstr_0(Y) & v8_vectsp_1(Y,A) & v9_vectsp_1(Y,A) & v10_vectsp_1(Y,A) & v11_vectsp_1(Y,A) & v2_rlvect_1(Y) & v3_rlvect_1(Y) & v4_rlvect_1(Y) & v1_matrlin(Y,A) & l1_vectsp_1(Y,A) ) => ! [Z] : ( m1_matrlin(Z,A,X) => ! [A1] : ( m1_matrlin(A1,A,Y) => ! [B1] : ( m1_subset_1(B1,u1_struct_0(A)) => ( k3_finseq_1(Z) = k3_finseq_1(A1) => ! [C1] : ( ( v1_funct_1(C1) & v1_funct_2(C1,u1_struct_0(X),u1_struct_0(Y)) & v13_vectsp_1(C1,X,Y) & v1_mod_2(C1,A,X,Y) & m1_subset_1(C1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X),u1_struct_0(Y)))) ) => ~ ( I = k1_card_1(a_7_0_matrixj2(A,X,Y,Z,A1,B1,C1)) & ! [D1] : ( v7_ordinal1(D1) => ~ ( r2_tarski(D1,k4_finseq_1(Z)) & k3_funct_2(u1_struct_0(X),u1_struct_0(Y),C1,k7_partfun1(u1_struct_0(X),Z,D1)) != k3_vectsp_1(A,Y,B1,k7_partfun1(u1_struct_0(Y),A1,D1)) & ~ ( r2_tarski(k1_nat_1(D1,1),k4_finseq_1(Z)) & k3_funct_2(u1_struct_0(X),u1_struct_0(Y),C1,k7_partfun1(u1_struct_0(X),Z,D1)) = k3_rlvect_1(Y,k3_vectsp_1(A,Y,B1,k7_partfun1(u1_struct_0(Y),A1,D1)),k7_partfun1(u1_struct_0(Y),A1,k1_nat_1(D1,1))) ) ) ) & ! [D1] : ( ( v2_relat_1(D1) & m1_matrixj2(D1,A,B1) ) => k1_matrlin2(A,X,Y,C1,Z,A1) != k20_matrixj1(u1_struct_0(A),k4_struct_0(A),D1) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_52__simplex1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v1_simplex1(B,A) & v2_simplex1(B,A) & m1_simplex0(B,u1_struct_0(A)) ) => ( ( ! [C] : ( ( v6_ordinal1(C) & v1_finset_1(C) & v1_tops_2(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [D] : ( ( v6_ordinal1(D) & v1_finset_1(D) & v1_tops_2(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [E] : ( ( v3_pre_topc(E,k4_simplex1(A,B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ! [F] : ( ( v3_pre_topc(F,k4_simplex1(A,B)) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ( ( E = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),C) & F = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),D) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),C)),k5_numbers) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),D)),k5_numbers) ) => ( r1_xboole_0(k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),E)),k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),F))) | E = F ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v6_ordinal1(H) & v1_finset_1(H) & v1_tops_2(H,B) & m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [I] : ( ( v6_ordinal1(I) & v1_finset_1(I) & v1_tops_2(I,B) & m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [J] : ( ( v3_pre_topc(J,k4_simplex1(A,B)) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ! [K] : ( ( v3_pre_topc(K,k4_simplex1(A,B)) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ( ( J = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),H) & K = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),I) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),H)),G) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),I)),G) ) => ( r1_xboole_0(k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),J)),k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),K))) | J = K ) ) ) ) ) ) => ! [L] : ( ( v6_ordinal1(L) & v1_finset_1(L) & v1_tops_2(L,B) & m1_subset_1(L,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [M] : ( ( v6_ordinal1(M) & v1_finset_1(M) & v1_tops_2(M,B) & m1_subset_1(M,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [N] : ( ( v3_pre_topc(N,k4_simplex1(A,B)) & m1_subset_1(N,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ! [O] : ( ( v3_pre_topc(O,k4_simplex1(A,B)) & m1_subset_1(O,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ( ( N = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),L) & O = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),M) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),L)),k1_nat_1(G,1)) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),M)),k1_nat_1(G,1)) ) => ( r1_xboole_0(k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),N)),k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),O))) | N = O ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [P] : ( ( v6_ordinal1(P) & v1_finset_1(P) & v1_tops_2(P,B) & m1_subset_1(P,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [Q] : ( ( v6_ordinal1(Q) & v1_finset_1(Q) & v1_tops_2(Q,B) & m1_subset_1(Q,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ! [R] : ( ( v3_pre_topc(R,k4_simplex1(A,B)) & m1_subset_1(R,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ! [S] : ( ( v3_pre_topc(S,k4_simplex1(A,B)) & m1_subset_1(S,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ( ( R = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),P) & S = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),Q) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),P)),G) & r1_xxreal_0(k4_card_1(k5_setfam_1(u1_struct_0(B),Q)),G) ) => ( r1_xboole_0(k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),R)),k1_rlaffin2(A,k1_simplex1(A,k4_simplex1(A,B),S))) | R = S ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_52__supinf_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k5_numbers),k12_supinf_2(k16_supinf_2(A),k1_nat_1(k5_numbers,1))) & r1_xxreal_0(k1_supinf_2,k12_supinf_2(k16_supinf_2(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k12_supinf_2(k16_supinf_2(A),k1_nat_1(B,1))) & r1_xxreal_0(k1_supinf_2,k12_supinf_2(k16_supinf_2(A),B)) ) => ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),k1_nat_1(B,1)),k12_supinf_2(k16_supinf_2(A),k1_nat_1(k1_nat_1(B,1),1))) & r1_xxreal_0(k1_supinf_2,k12_supinf_2(k16_supinf_2(A),k1_nat_1(B,1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k12_supinf_2(k16_supinf_2(A),k1_nat_1(B,1))) & r1_xxreal_0(k1_supinf_2,k12_supinf_2(k16_supinf_2(A),B)) ) ) ) ) )).
fof(s2_nat_1__e7_53_2_2__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(B,A)),C) = k8_nat_1(k4_ordinal1,k2_real_3(B,A),C) ) ) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_nat_1(C,1),k5_numbers) => k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(B,A)),k1_nat_1(C,2)) = k7_xcmplx_0(k8_nat_1(k4_ordinal1,k1_real_3(B,A),C),k8_nat_1(k4_ordinal1,k1_real_3(B,A),k1_nat_1(C,1))) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(B,A)),E) = k8_nat_1(k4_ordinal1,k2_real_3(B,A),E) ) ) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_nat_1(E,1),D) => k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(B,A)),k1_nat_1(E,2)) = k7_xcmplx_0(k8_nat_1(k4_ordinal1,k1_real_3(B,A),E),k8_nat_1(k4_ordinal1,k1_real_3(B,A),k1_nat_1(E,1))) ) ) ) => ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k1_nat_1(D,1)) => k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(B,A)),F) = k8_nat_1(k4_ordinal1,k2_real_3(B,A),F) ) ) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k1_nat_1(F,1),k1_nat_1(D,1)) => k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(B,A)),k1_nat_1(F,2)) = k7_xcmplx_0(k8_nat_1(k4_ordinal1,k1_real_3(B,A),F),k8_nat_1(k4_ordinal1,k1_real_3(B,A),k1_nat_1(F,1))) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => k8_nat_1(k1_numbers,k4_real_3(k7_xcmplx_0(B,A)),G) = k8_nat_1(k4_ordinal1,k2_real_3(B,A),G) ) ) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k1_nat_1(G,1),D) => k8_nat_1(k1_numbers,k3_real_3(k7_xcmplx_0(B,A)),k1_nat_1(G,2)) = k7_xcmplx_0(k8_nat_1(k4_ordinal1,k1_real_3(B,A),G),k8_nat_1(k4_ordinal1,k1_real_3(B,A),k1_nat_1(G,1))) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_53_6__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k12_supinf_2(k1_mesfunc9(E),k5_numbers) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( k12_supinf_2(k1_mesfunc9(E),F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),F)) => k12_supinf_2(k1_mesfunc9(E),k1_nat_1(F,1)) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k1_nat_1(F,1))) ) ) ) => ! [F] : ( v7_ordinal1(F) => k12_supinf_2(k1_mesfunc9(E),F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),F)) ) ) ) )).
fof(s2_nat_1__e7_56_1_2__neckla_3,axiom,( ( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ( r2_tarski(A,k4_neckla_2) & r1_ordinal1(k1_card_1(u1_struct_0(A)),k5_numbers) ) => ( v7_struct_0(A) | v1_necklace(A) ) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ( ( r2_tarski(C,k4_neckla_2) & r1_ordinal1(k1_card_1(u1_struct_0(C)),B) ) => ( v7_struct_0(C) | v1_necklace(C) ) ) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_orders_2(D) ) => ( ( r2_tarski(D,k4_neckla_2) & r1_ordinal1(k1_card_1(u1_struct_0(D)),k1_nat_1(B,1)) ) => ( v7_struct_0(D) | v1_necklace(D) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( ~ v2_struct_0(E) & l1_orders_2(E) ) => ( ( r2_tarski(E,k4_neckla_2) & r1_ordinal1(k1_card_1(u1_struct_0(E)),B) ) => ( v7_struct_0(E) | v1_necklace(E) ) ) ) ) )).
fof(s2_nat_1__e7_56__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_relat_1(C) & v5_relat_1(C,k1_numbers) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_afinsq_1(B)) => k7_afinsq_2(k5_relat_1(B,k5_numbers)) = k3_xcmplx_0(A,k7_afinsq_2(k5_relat_1(C,k5_numbers))) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k1_afinsq_1(B)) => k7_afinsq_2(k5_relat_1(B,D)) = k3_xcmplx_0(A,k7_afinsq_2(k5_relat_1(C,D))) ) => ( r1_xxreal_0(k1_nat_1(D,1),k1_afinsq_1(B)) => k7_afinsq_2(k5_relat_1(B,k1_nat_1(D,1))) = k3_xcmplx_0(A,k7_afinsq_2(k5_relat_1(C,k1_nat_1(D,1)))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k1_afinsq_1(B)) => k7_afinsq_2(k5_relat_1(B,D)) = k3_xcmplx_0(A,k7_afinsq_2(k5_relat_1(C,D))) ) ) ) ) )).
fof(s2_nat_1__e7_58__rewrite2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & m1_subset_1(C,k8_afinsq_1(A)) & m1_subset_1(D,k8_afinsq_1(A)) ) => ( ( ! [E] : ( m1_rewrite1(E,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,k4_lang1(k8_afinsq_1(A),k8_afinsq_1(A),k1_domain_1(k8_afinsq_1(A),k8_afinsq_1(A),C,D))))) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ! [G] : ( m1_subset_1(G,k8_afinsq_1(A)) => ~ ( k3_finseq_1(E) = k5_numbers & k1_funct_1(E,1) = F & k1_funct_1(E,k3_finseq_1(E)) = G & ! [H] : ( m1_rewrite1(H,k7_rewrite2(A,B)) => ~ ( k1_funct_1(H,1) = F & k1_funct_1(H,k3_finseq_1(H)) = G ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ! [J] : ( m1_rewrite1(J,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,k4_lang1(k8_afinsq_1(A),k8_afinsq_1(A),k1_domain_1(k8_afinsq_1(A),k8_afinsq_1(A),C,D))))) => ! [K] : ( m1_subset_1(K,k8_afinsq_1(A)) => ! [L] : ( m1_subset_1(L,k8_afinsq_1(A)) => ~ ( k3_finseq_1(J) = I & k1_funct_1(J,1) = K & k1_funct_1(J,k3_finseq_1(J)) = L & ! [M] : ( m1_rewrite1(M,k7_rewrite2(A,B)) => ~ ( k1_funct_1(M,1) = K & k1_funct_1(M,k3_finseq_1(M)) = L ) ) ) ) ) ) => ! [N] : ( m1_rewrite1(N,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,k4_lang1(k8_afinsq_1(A),k8_afinsq_1(A),k1_domain_1(k8_afinsq_1(A),k8_afinsq_1(A),C,D))))) => ! [O] : ( m1_subset_1(O,k8_afinsq_1(A)) => ! [P] : ( m1_subset_1(P,k8_afinsq_1(A)) => ~ ( k3_finseq_1(N) = k1_nat_1(I,1) & k1_funct_1(N,1) = O & k1_funct_1(N,k3_finseq_1(N)) = P & ! [Q] : ( m1_rewrite1(Q,k7_rewrite2(A,B)) => ~ ( k1_funct_1(Q,1) = O & k1_funct_1(Q,k3_finseq_1(Q)) = P ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ! [R] : ( m1_rewrite1(R,k7_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,k4_lang1(k8_afinsq_1(A),k8_afinsq_1(A),k1_domain_1(k8_afinsq_1(A),k8_afinsq_1(A),C,D))))) => ! [S] : ( m1_subset_1(S,k8_afinsq_1(A)) => ! [T] : ( m1_subset_1(T,k8_afinsq_1(A)) => ~ ( k3_finseq_1(R) = I & k1_funct_1(R,1) = S & k1_funct_1(R,k3_finseq_1(R)) = T & ! [U] : ( m1_rewrite1(U,k7_rewrite2(A,B)) => ~ ( k1_funct_1(U,1) = S & k1_funct_1(U,k3_finseq_1(U)) = T ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_5__prepower,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k1_funct_1(B,k5_numbers) = k1_funct_1(k1_prepower(A),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(B,C) = k1_funct_1(k1_prepower(A),C) => k1_funct_1(B,k1_nat_1(C,1)) = k1_funct_1(k1_prepower(A),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k1_funct_1(k1_prepower(A),C) ) ) ) )).
fof(s2_nat_1__e7_60__bcialg_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_bcialg_2(E,A) ) => ( ( r2_hidden(k4_tarski(B,k1_bcialg_2(A,C,D,k5_numbers)),E) & ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(B,k1_bcialg_2(A,C,D,F)),E) => r2_hidden(k4_tarski(B,k1_bcialg_2(A,C,D,k1_nat_1(F,1))),E) ) ) ) => ! [F] : ( v7_ordinal1(F) => r2_hidden(k4_tarski(B,k1_bcialg_2(A,C,D,F)),E) ) ) ) )).
fof(s2_nat_1__e7_61__scmfsa8c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k5_numbers),D) = k1_funct_1(B,D) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),F),D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_nat_1(F,1),E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(F,1)),D) = k1_funct_1(B,D) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),F),D) = k1_funct_1(B,D) ) ) ) ) )).
fof(s2_nat_1__e7_62__catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_afinsq_1(A)) => r1_xxreal_0(k9_complex1(k7_afinsq_2(k5_relat_1(A,k5_numbers))),k7_afinsq_2(k5_relat_1(B,k5_numbers))) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k1_afinsq_1(A)) => r1_xxreal_0(k9_complex1(k7_afinsq_2(k5_relat_1(A,C))),k7_afinsq_2(k5_relat_1(B,C))) ) => ( r1_xxreal_0(k1_nat_1(C,1),k1_afinsq_1(A)) => r1_xxreal_0(k9_complex1(k7_afinsq_2(k5_relat_1(A,k1_nat_1(C,1)))),k7_afinsq_2(k5_relat_1(B,k1_nat_1(C,1)))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k1_afinsq_1(A)) => r1_xxreal_0(k9_complex1(k7_afinsq_2(k5_relat_1(A,C))),k7_afinsq_2(k5_relat_1(B,C))) ) ) ) ) )).
fof(s2_nat_1__e7_66__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,B)) => ( ( ~ v1_setwiseo(C,A) & ~ r1_xxreal_0(1,k1_afinsq_1(k5_relat_1(B,k5_numbers))) ) | k1_binop_1(C,k6_afinsq_2(A,k5_relat_1(B,k5_numbers),C),k1_funct_1(B,k5_numbers)) = k6_afinsq_2(A,k5_relat_1(B,k1_nat_1(k5_numbers,1)),C) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) => ( ( ~ v1_setwiseo(C,A) & ~ r1_xxreal_0(1,k1_afinsq_1(k5_relat_1(B,D))) ) | k1_binop_1(C,k6_afinsq_2(A,k5_relat_1(B,D),C),k1_funct_1(B,D)) = k6_afinsq_2(A,k5_relat_1(B,k1_nat_1(D,1)),C) ) ) => ( r2_tarski(k1_nat_1(D,1),k1_relset_1(k4_ordinal1,B)) => ( ( ~ v1_setwiseo(C,A) & ~ r1_xxreal_0(1,k1_afinsq_1(k5_relat_1(B,k1_nat_1(D,1)))) ) | k1_binop_1(C,k6_afinsq_2(A,k5_relat_1(B,k1_nat_1(D,1)),C),k1_funct_1(B,k1_nat_1(D,1))) = k6_afinsq_2(A,k5_relat_1(B,k1_nat_1(k1_nat_1(D,1),1)),C) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) => ( ( ~ v1_setwiseo(C,A) & ~ r1_xxreal_0(1,k1_afinsq_1(k5_relat_1(B,D))) ) | k1_binop_1(C,k6_afinsq_2(A,k5_relat_1(B,D),C),k1_funct_1(B,D)) = k6_afinsq_2(A,k5_relat_1(B,k1_nat_1(D,1)),C) ) ) ) ) ) )).
fof(s2_nat_1__e7_66__flang_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => ( ( k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k1_flang_2(A,B,C,k2_xcmplx_0(C,k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k1_flang_2(A,B,C,k2_xcmplx_0(C,D))) => k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k1_flang_2(A,B,C,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_flang_1(A,B) = k6_flang_1(A,k8_flang_1(A,B),k1_flang_2(A,B,C,k2_xcmplx_0(C,D))) ) ) ) )).
fof(s2_nat_1__e7_6__matrprob,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A,k5_numbers),k8_nat_1(k1_numbers,B,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A,C),k8_nat_1(k1_numbers,B,C)) ) => ( r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A,k1_nat_1(C,1)),k8_nat_1(k1_numbers,B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => r1_xxreal_0(k1_funct_1(A,C),k8_nat_1(k1_numbers,B,C)) ) ) ) ) )).
fof(s2_nat_1__e7_6__scmfsa6b,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_7(B,k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k11_scmfsa_2(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A))),A,k5_numbers)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A) & ! [C] : ( v7_ordinal1(C) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_7(B,k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k11_scmfsa_2(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A))),A,C)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_7(B,k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k11_scmfsa_2(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A))),A,k1_nat_1(C,1))) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A) ) ) ) => ! [C] : ( v7_ordinal1(C) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_7(B,k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k11_scmfsa_2(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A))),A,C)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A) ) ) ) )).
fof(s2_nat_1__e7_70__circtrm1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) & v1_relat_1(C) & v1_funct_1(C) & v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) & v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) & m1_subset_1(F,k4_card_3(u3_msualg_1(B,E))) & m1_subset_1(G,k4_card_3(u3_msualg_1(A,D))) ) => ( ( k5_facirc_1(A,D,G,k5_numbers) = k3_relat_1(C,k5_facirc_1(B,E,F,k5_numbers)) & ! [H] : ( v7_ordinal1(H) => ( k5_facirc_1(A,D,G,H) = k3_relat_1(C,k5_facirc_1(B,E,F,H)) => k5_facirc_1(A,D,G,k1_nat_1(H,1)) = k3_relat_1(C,k5_facirc_1(B,E,F,k1_nat_1(H,1))) ) ) ) => ! [H] : ( v7_ordinal1(H) => k5_facirc_1(A,D,G,H) = k3_relat_1(C,k5_facirc_1(B,E,F,H)) ) ) ) )).
fof(s2_nat_1__e7_72__graphsp,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k4_ordinal1) & m2_finseq_1(B,k4_ordinal1) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => k1_funct_1(A,k6_xcmplx_0(k3_finseq_1(A),k5_numbers)) = k1_funct_1(B,k6_xcmplx_0(k3_finseq_1(B),k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k3_finseq_1(A),C) => k1_funct_1(A,k6_xcmplx_0(k3_finseq_1(A),C)) = k1_funct_1(B,k6_xcmplx_0(k3_finseq_1(B),C)) ) => ( ~ r1_xxreal_0(k3_finseq_1(A),k1_nat_1(C,1)) => k1_funct_1(A,k6_xcmplx_0(k3_finseq_1(A),k1_nat_1(C,1))) = k1_funct_1(B,k6_xcmplx_0(k3_finseq_1(B),k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(A),C) => k1_funct_1(A,k6_xcmplx_0(k3_finseq_1(A),C)) = k1_funct_1(B,k6_xcmplx_0(k3_finseq_1(B),C)) ) ) ) ) )).
fof(s2_nat_1__e7_74__polyred,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,D)) = k5_numbers & r4_polyred(A,B,C,D,E,F) ) => r2_hidden(k4_tarski(k3_polynom1(k15_pre_poly(A),C,F),k3_polynom1(k15_pre_poly(A),C,D)),k13_bagorder(g1_orders_2(k15_pre_poly(A),B))) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(H,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(I,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,H)) = G & r4_polyred(A,B,C,H,I,J) ) => r2_hidden(k4_tarski(k3_polynom1(k15_pre_poly(A),C,J),k3_polynom1(k15_pre_poly(A),C,H)),k13_bagorder(g1_orders_2(k15_pre_poly(A),B))) ) ) ) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(K,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(L,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(M,C) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,K)) = k1_nat_1(G,1) & r4_polyred(A,B,C,K,L,M) ) => r2_hidden(k4_tarski(k3_polynom1(k15_pre_poly(A),C,M),k3_polynom1(k15_pre_poly(A),C,K)),k13_bagorder(g1_orders_2(k15_pre_poly(A),B))) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(N,C) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(O,C) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(P,C) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( k4_card_1(k3_polynom1(k15_pre_poly(A),C,N)) = G & r4_polyred(A,B,C,N,O,P) ) => r2_hidden(k4_tarski(k3_polynom1(k15_pre_poly(A),C,P),k3_polynom1(k15_pre_poly(A),C,N)),k13_bagorder(g1_orders_2(k15_pre_poly(A),B))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_8__polynom2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( k3_finseq_1(B) = k5_numbers => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r2_tarski(C,k4_finseq_1(B)) & k7_partfun1(u1_struct_0(A),B,C) = k4_struct_0(A) ) ) | k3_group_4(A,B) = k4_struct_0(A) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( k3_finseq_1(E) = D => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & k7_partfun1(u1_struct_0(A),E,F) = k4_struct_0(A) ) ) | k3_group_4(A,E) = k4_struct_0(A) ) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( k3_finseq_1(G) = k1_nat_1(D,1) => ( ! [H] : ( m1_subset_1(H,k4_ordinal1) => ~ ( r2_tarski(H,k4_finseq_1(G)) & k7_partfun1(u1_struct_0(A),G,H) = k4_struct_0(A) ) ) | k3_group_4(A,G) = k4_struct_0(A) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( k3_finseq_1(I) = D => ( ! [J] : ( m1_subset_1(J,k4_ordinal1) => ~ ( r2_tarski(J,k4_finseq_1(I)) & k7_partfun1(u1_struct_0(A),I,J) = k4_struct_0(A) ) ) | k3_group_4(A,I) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s2_nat_1__e7_8__polynom5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( ( k9_complex1(k1_polynom5(k1_complfld,A,k5_numbers)) = k2_power(k9_complex1(A),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k9_complex1(k1_polynom5(k1_complfld,A,B)) = k2_power(k9_complex1(A),B) => k9_complex1(k1_polynom5(k1_complfld,A,k1_nat_1(B,1))) = k2_power(k9_complex1(A),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k9_complex1(k1_polynom5(k1_complfld,A,B)) = k2_power(k9_complex1(A),B) ) ) ) )).
fof(s2_nat_1__e7_91__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v7_ordinal1(B) ) => ( ( ~ r2_tarski(k7_nat_d(k15_glib_000(A),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k1_nat_1(B,1),k5_numbers))),C)) & ! [D] : ( v7_ordinal1(D) => ( ~ r2_tarski(k7_nat_d(k15_glib_000(A),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k1_nat_1(B,1),D))),C)) => ~ r2_tarski(k7_nat_d(k15_glib_000(A),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(D,1)))),C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ r2_tarski(k7_nat_d(k15_glib_000(A),B),k17_lexbfs(k6_glib_000(A),k4_ordinal1,k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k1_nat_1(B,1),D))),C)) ) ) ) )).
fof(s2_nat_1__e7_94__pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ~ v1_xboole_0(D) & m2_finseq_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k5_numbers),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),F)) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),F)) ) ) ) ) )).
fof(s2_nat_1__e7_97__rfunct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( ! [D] : ! [E] : ( v1_finset_1(E) => ( ( E = k1_relset_1(A,k2_partfun1(A,k1_numbers,B,D)) & v1_finset_1(k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_xboole_0(C,D)))) & k3_xboole_0(C,D) = k1_xboole_0 & k5_numbers = k4_card_1(E) ) => r2_classes1(k20_rfunct_3(A,B,k2_xboole_0(C,D)),k8_finseq_1(k1_numbers,k20_rfunct_3(A,B,C),k20_rfunct_3(A,B,D))) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ! [H] : ( v1_finset_1(H) => ( ( H = k1_relset_1(A,k2_partfun1(A,k1_numbers,B,G)) & v1_finset_1(k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_xboole_0(C,G)))) & k3_xboole_0(C,G) = k1_xboole_0 & F = k4_card_1(H) ) => r2_classes1(k20_rfunct_3(A,B,k2_xboole_0(C,G)),k8_finseq_1(k1_numbers,k20_rfunct_3(A,B,C),k20_rfunct_3(A,B,G))) ) ) => ! [I] : ! [J] : ( v1_finset_1(J) => ( ( J = k1_relset_1(A,k2_partfun1(A,k1_numbers,B,I)) & v1_finset_1(k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_xboole_0(C,I)))) & k3_xboole_0(C,I) = k1_xboole_0 & k1_nat_1(F,1) = k4_card_1(J) ) => r2_classes1(k20_rfunct_3(A,B,k2_xboole_0(C,I)),k8_finseq_1(k1_numbers,k20_rfunct_3(A,B,C),k20_rfunct_3(A,B,I))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ! [L] : ( v1_finset_1(L) => ( ( L = k1_relset_1(A,k2_partfun1(A,k1_numbers,B,K)) & v1_finset_1(k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_xboole_0(C,K)))) & k3_xboole_0(C,K) = k1_xboole_0 & F = k4_card_1(L) ) => r2_classes1(k20_rfunct_3(A,B,k2_xboole_0(C,K)),k8_finseq_1(k1_numbers,k20_rfunct_3(A,B,C),k20_rfunct_3(A,B,K))) ) ) ) ) ) )).
fof(s2_nat_1__e7_9__card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( v4_card_3(k4_finseq_2(k5_numbers,A)) & ! [B] : ( v7_ordinal1(B) => ( v4_card_3(k4_finseq_2(B,A)) => v4_card_3(k4_finseq_2(k1_nat_1(B,1),A)) ) ) ) => ! [B] : ( v7_ordinal1(B) => v4_card_3(k4_finseq_2(B,A)) ) ) ) )).
fof(s2_nat_1__e7_9__scmfsa6b,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ( ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,C),A) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,C),A) ) ) ) )).
fof(s2_nat_1__e8_10_1_1_2__scmfsa_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,B) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & m1_subset_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)) = k2_xcmplx_0(B,k5_numbers) & ( r1_xxreal_0(1,k5_numbers) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers),D) = k5_numbers ) & ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => ( F != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers),F) = k1_funct_1(C,F) ) ) & ! [F] : ( m1_scmfsa_2(F) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers),F) = k18_scmfsa_2(C,F) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,E) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k2_xcmplx_0(B,G) & ( r1_xxreal_0(1,G) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),D) = G ) & ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ( H != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),H) = k1_funct_1(C,H) ) ) & ! [H] : ( m1_scmfsa_2(H) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),H) = k18_scmfsa_2(C,H) ) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),E) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1))) = k2_xcmplx_0(B,k1_nat_1(G,1)) & ( r1_xxreal_0(1,k1_nat_1(G,1)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1)),D) = k1_nat_1(G,1) ) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ( I != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1)),I) = k1_funct_1(C,I) ) ) & ! [I] : ( m1_scmfsa_2(I) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1)),I) = k18_scmfsa_2(C,I) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,E) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k2_xcmplx_0(B,G) & ( r1_xxreal_0(1,G) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),D) = G ) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmfsa_2)) ) => ( J != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),J) = k1_funct_1(C,J) ) ) & ! [J] : ( m1_scmfsa_2(J) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),J) = k18_scmfsa_2(C,J) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_10_1_2_2__scmfsa_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,B) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) & m1_subset_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_nat_1(k1_nat_1(E,1),1)) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers)) = k2_xcmplx_0(B,k5_numbers) & ( r1_xxreal_0(1,k5_numbers) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers),D) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k5_numbers),1),1) ) & ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => ( F != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers),F) = k1_funct_1(C,F) ) ) & ! [F] : ( m1_scmfsa_2(F) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k5_numbers),F) = k18_scmfsa_2(C,F) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,k1_nat_1(k1_nat_1(E,1),1)) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k2_xcmplx_0(B,G) & ( r1_xxreal_0(1,G) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),D) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(G),1),1) ) & ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ( H != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),H) = k1_funct_1(C,H) ) ) & ! [H] : ( m1_scmfsa_2(H) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),H) = k18_scmfsa_2(C,H) ) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),k1_nat_1(k1_nat_1(E,1),1)) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1))) = k2_xcmplx_0(B,k1_nat_1(G,1)) & ( r1_xxreal_0(1,k1_nat_1(G,1)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1)),D) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k1_nat_1(G,1)),1),1) ) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ( I != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1)),I) = k1_funct_1(C,I) ) ) & ! [I] : ( m1_scmfsa_2(I) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,k1_nat_1(G,1)),I) = k18_scmfsa_2(C,I) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k1_nat_1(k1_nat_1(E,1),1)) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k2_xcmplx_0(B,G) & ( r1_xxreal_0(1,G) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),D) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(G),1),1) ) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmfsa_2)) ) => ( J != D => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),J) = k1_funct_1(C,J) ) ) & ! [J] : ( m1_scmfsa_2(J) => k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G),J) = k18_scmfsa_2(C,J) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_11_3__topmetr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( r2_tarski(k1_funct_1(A,k5_numbers),k1_numbers) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k1_funct_1(A,B),k1_numbers) => r2_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k1_funct_1(A,B),k1_numbers) ) ) ) )).
fof(s2_nat_1__e8_11__prepower,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ( r1_xxreal_0(k1_newton(A,k5_numbers),k1_newton(B,k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_newton(A,C),k1_newton(B,C)) => r1_xxreal_0(k1_newton(A,k1_nat_1(C,1)),k1_newton(B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_newton(A,C),k1_newton(B,C)) ) ) ) )).
fof(s2_nat_1__e8_123__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( k23_lexbfs(A,k26_lexbfs(A),k15_glib_000(A)) = k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k23_lexbfs(A,k26_lexbfs(A),k15_glib_000(A)) = k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B)) => k23_lexbfs(A,k26_lexbfs(A),k15_glib_000(A)) = k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k23_lexbfs(A,k26_lexbfs(A),k15_glib_000(A)) = k23_lexbfs(A,k26_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B)) ) ) ) )).
fof(s2_nat_1__e8_12_3__topmetr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( r2_tarski(k1_funct_1(A,k5_numbers),k1_numbers) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k1_funct_1(A,B),k1_numbers) => r2_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_numbers) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k1_funct_1(A,B),k1_numbers) ) ) ) )).
fof(s2_nat_1__e8_13__card_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( r2_tarski(k5_numbers,k7_relat_1(B,k3_finseq_2(A))) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k7_relat_1(B,k3_finseq_2(A))) => r2_tarski(k1_nat_1(C,1),k7_relat_1(B,k3_finseq_2(A))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(C,k7_relat_1(B,k3_finseq_2(A))) ) ) ) )).
fof(s2_nat_1__e8_13__topdim_2,axiom,( ( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ( v5_waybel23(A) => ( ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( m1_setfam_1(B,u1_struct_0(A)) & v2_topdim_1(B,A) & r1_xxreal_0(k3_topdim_1(A,B),k5_numbers) & r1_xxreal_0(k4_card_1(B),k5_numbers) ) ) | ( v3_topdim_1(A) & r1_xxreal_0(k4_topdim_1(A),k3_xxreal_3(k5_numbers,1)) ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( ( v2_pre_topc(D) & v3_pcomps_1(D) & l1_pre_topc(D) ) => ( v5_waybel23(D) => ( ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) ) => ~ ( m1_setfam_1(E,u1_struct_0(D)) & v2_topdim_1(E,D) & r1_xxreal_0(k3_topdim_1(D,E),k5_numbers) & r1_xxreal_0(k4_card_1(E),C) ) ) | ( v3_topdim_1(D) & r1_xxreal_0(k4_topdim_1(D),k3_xxreal_3(C,1)) ) ) ) ) => ! [F] : ( ( v2_pre_topc(F) & v3_pcomps_1(F) & l1_pre_topc(F) ) => ( v5_waybel23(F) => ( ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(F)))) ) => ~ ( m1_setfam_1(G,u1_struct_0(F)) & v2_topdim_1(G,F) & r1_xxreal_0(k3_topdim_1(F,G),k5_numbers) & r1_xxreal_0(k4_card_1(G),k1_nat_1(C,1)) ) ) | ( v3_topdim_1(F) & r1_xxreal_0(k4_topdim_1(F),k3_xxreal_3(k1_nat_1(C,1),1)) ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [H] : ( ( v2_pre_topc(H) & v3_pcomps_1(H) & l1_pre_topc(H) ) => ( v5_waybel23(H) => ( ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(H)))) ) => ~ ( m1_setfam_1(I,u1_struct_0(H)) & v2_topdim_1(I,H) & r1_xxreal_0(k3_topdim_1(H,I),k5_numbers) & r1_xxreal_0(k4_card_1(I),C) ) ) | ( v3_topdim_1(H) & r1_xxreal_0(k4_topdim_1(H),k3_xxreal_3(C,1)) ) ) ) ) ) )).
fof(s2_nat_1__e8_14__pcomps_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v7_ordinal1(C) ) => ( ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( D = k7_relat_1(B,k2_finseq_1(k5_numbers)) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(1,C) ) => k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),D)) = k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,D)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( F = k7_relat_1(B,k2_finseq_1(E)) & r1_xxreal_0(E,C) & r1_xxreal_0(1,C) ) => k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),F)) = k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,F)) ) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( G = k7_relat_1(B,k2_finseq_1(k1_nat_1(E,1))) & r1_xxreal_0(k1_nat_1(E,1),C) & r1_xxreal_0(1,C) ) => k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),G)) = k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,G)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( H = k7_relat_1(B,k2_finseq_1(E)) & r1_xxreal_0(E,C) & r1_xxreal_0(1,C) ) => k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),H)) = k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,H)) ) ) ) ) ) )).
fof(s2_nat_1__e8_151__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) & m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(C,B)) & m2_subset_1(F,k9_funct_2(k37_fomodel1(D),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(D,B)) ) => ( ( r1_relset_1(k35_fomodel1(C),B,k2_partfun1(k35_fomodel1(C),B,k9_fomodel2(C,B,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),k5_numbers))),k2_partfun1(k35_fomodel1(D),B,k9_fomodel2(D,B,F),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),k5_numbers)))) & ! [G] : ( v7_ordinal1(G) => ( r1_relset_1(k35_fomodel1(C),B,k2_partfun1(k35_fomodel1(C),B,k9_fomodel2(C,B,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),G))),k2_partfun1(k35_fomodel1(D),B,k9_fomodel2(D,B,F),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),G)))) => r1_relset_1(k35_fomodel1(C),B,k2_partfun1(k35_fomodel1(C),B,k9_fomodel2(C,B,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),k1_nat_1(G,1)))),k2_partfun1(k35_fomodel1(D),B,k9_fomodel2(D,B,F),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),k1_nat_1(G,1))))) ) ) ) => ! [G] : ( v7_ordinal1(G) => r1_relset_1(k35_fomodel1(C),B,k2_partfun1(k35_fomodel1(C),B,k9_fomodel2(C,B,E),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),G))),k2_partfun1(k35_fomodel1(D),B,k9_fomodel2(D,B,F),k9_subset_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0)),k3_finseq_2(A),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(D)),k1_tarski(k1_xboole_0))),k39_fomodel1(D),G)))) ) ) ) )).
fof(s2_nat_1__e8_159_3_1_2__aofa_a01,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,u1_struct_0(k12_aofa_a01)) & v1_funct_1(A) & v1_finset_1(A) & v1_exchsort(A) & v2_exchsort(A,k5_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k8_afinsq_1(k4_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_afinsq_1(k4_numbers)))) ) => ( ( m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,k5_numbers),A) & ! [C] : ( v7_ordinal1(C) => ( m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,C),A) => m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,k1_nat_1(C,1)),A) ) ) ) => ! [C] : ( v7_ordinal1(C) => m1_exchsort(k8_nat_1(k8_afinsq_1(k4_numbers),B,C),A) ) ) ) )).
fof(s2_nat_1__e8_160_5__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & m1_subset_1(C,k4_ordinal1) ) => ( ( r2_xboole_0(k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,C),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k2_xcmplx_0(k1_nat_1(C,1),k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r2_xboole_0(k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,C),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k2_xcmplx_0(k1_nat_1(C,1),D))) => r2_xboole_0(k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,C),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k2_xcmplx_0(k1_nat_1(C,1),k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_xboole_0(k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),B,C),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k2_xcmplx_0(k1_nat_1(C,1),D))) ) ) ) )).
fof(s2_nat_1__e8_16_1__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m1_henmodel(C,A,B) & m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( F = k1_funct_1(o_3_0_goedelcp(A,D,E),k5_numbers) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,F)) & ( r1_henmodel(A,B,F) => r1_valuat_1(A,k1_henmodel(A),F,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),F,C,k3_henmodel(A)) => r1_henmodel(A,B,F) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ~ ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( H = k1_funct_1(o_3_0_goedelcp(A,D,E),G) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,H)) & ( r1_henmodel(A,B,H) => r1_valuat_1(A,k1_henmodel(A),H,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),H,C,k3_henmodel(A)) => r1_henmodel(A,B,H) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(G,1)) & r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( I = k1_funct_1(o_3_0_goedelcp(A,D,E),k1_nat_1(G,1)) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,I)) & ( r1_henmodel(A,B,I) => r1_valuat_1(A,k1_henmodel(A),I,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),I,C,k3_henmodel(A)) => r1_henmodel(A,B,I) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(o_3_0_goedelcp(A,D,E))) & ! [J] : ( m2_subset_1(J,k9_qc_lang1(A),k3_cqc_lang(A)) => ~ ( J = k1_funct_1(o_3_0_goedelcp(A,D,E),G) & r1_xxreal_0(k7_cqc_sim1(A,E),k7_cqc_sim1(A,J)) & ( r1_henmodel(A,B,J) => r1_valuat_1(A,k1_henmodel(A),J,C,k3_henmodel(A)) ) & ( r1_valuat_1(A,k1_henmodel(A),J,C,k3_henmodel(A)) => r1_henmodel(A,B,J) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_16_1__neckla_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( r1_tarski(k1_funct_1(A,k5_numbers),k4_neckla_2) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k1_funct_1(A,B),k4_neckla_2) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k4_neckla_2) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(A,B),k4_neckla_2) ) ) ) )).
fof(s2_nat_1__e8_170__group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_group_9(C,A,B) & v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) & v7_ordinal1(E) ) => ( ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_group_9(G,A,B) => ( ( r2_tarski(k2_xcmplx_0(E,k5_numbers),k4_finseq_1(D)) & G = k1_funct_1(D,k2_xcmplx_0(E,k5_numbers)) ) => m1_group_9(G,A,C) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( v7_ordinal1(I) => ! [J] : ( m1_group_9(J,A,B) => ( ( r2_tarski(k2_xcmplx_0(E,H),k4_finseq_1(D)) & J = k1_funct_1(D,k2_xcmplx_0(E,H)) ) => m1_group_9(J,A,C) ) ) ) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( m1_group_9(L,A,B) => ( ( r2_tarski(k2_xcmplx_0(E,k1_nat_1(H,1)),k4_finseq_1(D)) & L = k1_funct_1(D,k2_xcmplx_0(E,k1_nat_1(H,1))) ) => m1_group_9(L,A,C) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( m1_group_9(N,A,B) => ( ( r2_tarski(k2_xcmplx_0(E,H),k4_finseq_1(D)) & N = k1_funct_1(D,k2_xcmplx_0(E,H)) ) => m1_group_9(N,A,C) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_175__comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ( k1_recdef_1(k20_comput_1,k10_finseq_1(A,k5_numbers)) = k7_nat_d(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k1_recdef_1(k20_comput_1,k10_finseq_1(A,B)) = k7_nat_d(A,B) => k1_recdef_1(k20_comput_1,k10_finseq_1(A,k1_nat_1(B,1))) = k7_nat_d(A,k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k1_recdef_1(k20_comput_1,k10_finseq_1(A,B)) = k7_nat_d(A,B) ) ) ) )).
fof(s2_nat_1__e8_18__series_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(k7_xcmplx_0(1,A),k5_numbers),A),k6_xcmplx_0(1,A)) & ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k1_numbers,k3_series_1(B),C) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(k7_xcmplx_0(1,A),C),A),k6_xcmplx_0(1,A)) => k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1)) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(k7_xcmplx_0(1,A),k1_nat_1(C,1)),A),k6_xcmplx_0(1,A)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(k7_xcmplx_0(1,A),C),A),k6_xcmplx_0(1,A)) ) ) ) )).
fof(s2_nat_1__e8_20__random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(A)) & m2_finseq_1(G,A) ) => ( ( ! [H] : ( m2_finseq_1(H,B) => ! [I] : ( m2_finseq_1(I,k2_zfmisc_1(A,B)) => ! [J] : ( ( ~ v1_xboole_0(J) & v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(B)) ) => ! [K] : ( ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k3_finseq_1(H) = k5_numbers & v2_funct_1(H) & k2_relset_1(B,H) = J & v2_funct_1(I) & r2_relset_1(A,B,k2_relset_1(k2_zfmisc_1(A,B),I),K) & K = k2_zfmisc_1(F,J) & ! [L] : ! [M] : ( ( r2_tarski(L,F) & r2_tarski(M,J) ) => k1_binop_1(E,L,M) = k1_extreal1(k12_supinf_2(C,L),k12_supinf_2(D,M)) ) ) => k18_rvsum_1(k4_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),E,I)) = k3_xcmplx_0(k18_rvsum_1(k4_bhsp_5(k1_numbers,A,C,G)),k18_rvsum_1(k4_bhsp_5(k1_numbers,B,D,H))) ) ) ) ) ) & ! [N] : ( v7_ordinal1(N) => ( ! [O] : ( m2_finseq_1(O,B) => ! [P] : ( m2_finseq_1(P,k2_zfmisc_1(A,B)) => ! [Q] : ( ( ~ v1_xboole_0(Q) & v1_finset_1(Q) & m1_subset_1(Q,k1_zfmisc_1(B)) ) => ! [R] : ( ( v1_finset_1(R) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k3_finseq_1(O) = N & v2_funct_1(O) & k2_relset_1(B,O) = Q & v2_funct_1(P) & r2_relset_1(A,B,k2_relset_1(k2_zfmisc_1(A,B),P),R) & R = k2_zfmisc_1(F,Q) & ! [S] : ! [T] : ( ( r2_tarski(S,F) & r2_tarski(T,Q) ) => k1_binop_1(E,S,T) = k1_extreal1(k12_supinf_2(C,S),k12_supinf_2(D,T)) ) ) => k18_rvsum_1(k4_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),E,P)) = k3_xcmplx_0(k18_rvsum_1(k4_bhsp_5(k1_numbers,A,C,G)),k18_rvsum_1(k4_bhsp_5(k1_numbers,B,D,O))) ) ) ) ) ) => ! [U] : ( m2_finseq_1(U,B) => ! [V] : ( m2_finseq_1(V,k2_zfmisc_1(A,B)) => ! [W] : ( ( ~ v1_xboole_0(W) & v1_finset_1(W) & m1_subset_1(W,k1_zfmisc_1(B)) ) => ! [X] : ( ( v1_finset_1(X) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k3_finseq_1(U) = k1_nat_1(N,1) & v2_funct_1(U) & k2_relset_1(B,U) = W & v2_funct_1(V) & r2_relset_1(A,B,k2_relset_1(k2_zfmisc_1(A,B),V),X) & X = k2_zfmisc_1(F,W) & ! [Y] : ! [Z] : ( ( r2_tarski(Y,F) & r2_tarski(Z,W) ) => k1_binop_1(E,Y,Z) = k1_extreal1(k12_supinf_2(C,Y),k12_supinf_2(D,Z)) ) ) => k18_rvsum_1(k4_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),E,V)) = k3_xcmplx_0(k18_rvsum_1(k4_bhsp_5(k1_numbers,A,C,G)),k18_rvsum_1(k4_bhsp_5(k1_numbers,B,D,U))) ) ) ) ) ) ) ) ) => ! [N] : ( v7_ordinal1(N) => ! [A1] : ( m2_finseq_1(A1,B) => ! [B1] : ( m2_finseq_1(B1,k2_zfmisc_1(A,B)) => ! [C1] : ( ( ~ v1_xboole_0(C1) & v1_finset_1(C1) & m1_subset_1(C1,k1_zfmisc_1(B)) ) => ! [D1] : ( ( v1_finset_1(D1) & m1_subset_1(D1,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k3_finseq_1(A1) = N & v2_funct_1(A1) & k2_relset_1(B,A1) = C1 & v2_funct_1(B1) & r2_relset_1(A,B,k2_relset_1(k2_zfmisc_1(A,B),B1),D1) & D1 = k2_zfmisc_1(F,C1) & ! [E1] : ! [F1] : ( ( r2_tarski(E1,F) & r2_tarski(F1,C1) ) => k1_binop_1(E,E1,F1) = k1_extreal1(k12_supinf_2(C,E1),k12_supinf_2(D,F1)) ) ) => k18_rvsum_1(k4_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),E,B1)) = k3_xcmplx_0(k18_rvsum_1(k4_bhsp_5(k1_numbers,A,C,G)),k18_rvsum_1(k4_bhsp_5(k1_numbers,B,D,A1))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_21__dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,k5_numbers) = k1_binop_1(k4_dblseq_2(A),B,k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),D,C) = k1_binop_1(k4_dblseq_2(A),D,C) ) => ! [E] : ( v7_ordinal1(E) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),E,k1_nat_1(C,1)) = k1_binop_1(k4_dblseq_2(A),E,k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( v7_ordinal1(F) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),F,C) = k1_binop_1(k4_dblseq_2(A),F,C) ) ) ) ) )).
fof(s2_nat_1__e8_21__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_tarski(k3_msafree2(k3_facirc_2(A,B,C)),k3_msafree2(k3_facirc_2(k2_xcmplx_0(A,k5_numbers),B,C))) & ! [D] : ( v7_ordinal1(D) => ( r1_tarski(k3_msafree2(k3_facirc_2(A,B,C)),k3_msafree2(k3_facirc_2(k2_xcmplx_0(A,D),B,C))) => r1_tarski(k3_msafree2(k3_facirc_2(A,B,C)),k3_msafree2(k3_facirc_2(k2_xcmplx_0(A,k1_nat_1(D,1)),B,C))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k3_msafree2(k3_facirc_2(A,B,C)),k3_msafree2(k3_facirc_2(k2_xcmplx_0(A,D),B,C))) ) ) ) )).
fof(s2_nat_1__e8_23__scmpds_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,A) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,k5_numbers) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,k5_numbers) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,A) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,F) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,F) ) => ( r1_xxreal_0(k1_nat_1(F,1),A) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,k1_nat_1(F,1)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,A) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,D,B,F) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,F) ) ) ) ) )).
fof(s2_nat_1__e8_24__abcmiz_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( r1_tarski(k1_funct_1(A,k5_numbers),a_0_1_abcmiz_1) & ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k1_funct_1(A,B),a_0_1_abcmiz_1) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),a_0_1_abcmiz_1) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(A,B),a_0_1_abcmiz_1) ) ) ) )).
fof(s2_nat_1__e8_25__goboard1,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,k5_numbers))) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,F),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)))) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,G),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_25__scmfsa6b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( r8_pboole(u1_struct_0(k1_scmfsa_2),k9_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_numbers)),k5_numbers),k4_card_1(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),1),k5_numbers))) & ! [E] : ( v7_ordinal1(E) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k9_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_numbers)),E),k4_card_1(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),1),E))) => r8_pboole(u1_struct_0(k1_scmfsa_2),k9_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_numbers)),k1_nat_1(E,1)),k4_card_1(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),1),k1_nat_1(E,1)))) ) ) ) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k9_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_numbers)),E),k4_card_1(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),1),E))) ) ) ) )).
fof(s2_nat_1__e8_28__scmpds_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( ( r1_xxreal_0(k5_numbers,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,k5_numbers) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,E) ) => ( r1_xxreal_0(k1_nat_1(E,1),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,k1_nat_1(E,1)) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,E) ) ) ) ) )).
fof(s2_nat_1__e8_29__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & v7_ordinal1(D) ) => ( ( ! [E] : ( r2_tarski(E,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D))) => k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),D),E) = k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,k5_numbers)),E) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( r2_tarski(G,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D))) => k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),D),G) = k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,F)),G) ) => ! [H] : ( r2_tarski(H,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D))) => k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),D),H) = k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,k1_nat_1(F,1))),H) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( r2_tarski(I,k1_relset_1(k6_glib_000(A),k4_glib_005(A,B,k5_glib_005(A,B,C),D))) => k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),D),I) = k1_funct_1(k4_glib_005(A,B,k5_glib_005(A,B,C),k2_xcmplx_0(D,F)),I) ) ) ) ) )).
fof(s2_nat_1__e8_29__goboard1,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k1_matrix_0(A)) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k5_numbers))) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(A)) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k1_matrix_0(A)) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,F),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)))) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(A)) & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,G),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_2__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k6_algstr_0(A,C,k3_clopban3(A,B,k5_numbers)) = k6_algstr_0(A,k3_clopban3(A,B,k5_numbers),C) & k6_algstr_0(A,B,k3_clopban3(A,C,k5_numbers)) = k6_algstr_0(A,k3_clopban3(A,C,k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( ( k6_algstr_0(A,C,k3_clopban3(A,B,D)) = k6_algstr_0(A,k3_clopban3(A,B,D),C) & k6_algstr_0(A,B,k3_clopban3(A,C,D)) = k6_algstr_0(A,k3_clopban3(A,C,D),B) ) => ( k6_algstr_0(A,C,k3_clopban3(A,B,k1_nat_1(D,1))) = k6_algstr_0(A,k3_clopban3(A,B,k1_nat_1(D,1)),C) & k6_algstr_0(A,B,k3_clopban3(A,C,k1_nat_1(D,1))) = k6_algstr_0(A,k3_clopban3(A,C,k1_nat_1(D,1)),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k6_algstr_0(A,C,k3_clopban3(A,B,D)) = k6_algstr_0(A,k3_clopban3(A,B,D),C) & k6_algstr_0(A,B,k3_clopban3(A,C,D)) = k6_algstr_0(A,k3_clopban3(A,C,D),B) ) ) ) ) )).
fof(s2_nat_1__e8_2__heine,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k8_nat_1(k1_numbers,A,B)) => r1_xxreal_0(k1_nat_1(B,1),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(B,k8_nat_1(k1_numbers,A,B)) ) ) ) )).
fof(s2_nat_1__e8_33__mesfun9c,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ( r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k11_mesfun7c(A,B)),k5_numbers),k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,k3_mesfun9c(A,B)),k5_numbers)) & ! [C] : ( v7_ordinal1(C) => ( r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k11_mesfun7c(A,B)),C),k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,k3_mesfun9c(A,B)),C)) => r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k11_mesfun7c(A,B)),k1_nat_1(C,1)),k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,k3_mesfun9c(A,B)),k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,k11_mesfun7c(A,B)),C),k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,k3_mesfun9c(A,B)),C)) ) ) ) )).
fof(s2_nat_1__e8_33__ntalgo_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) & ~ v1_xboole_0(C) & m2_finseq_1(C,k4_numbers) & ~ v1_xboole_0(D) & m2_finseq_1(D,k4_numbers) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k5_numbers) ) => k1_funct_1(D,k1_nat_1(E,1)) = k3_xcmplx_0(k1_funct_1(D,E),k1_funct_1(C,E)) ) ) ) => k5_int_1(A,k1_funct_1(D,k1_nat_1(k5_numbers,1))) = k5_int_1(B,k1_funct_1(D,k1_nat_1(k5_numbers,1))) ) & ! [F] : ( v7_ordinal1(F) => ( ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,F) ) => k1_funct_1(D,k1_nat_1(G,1)) = k3_xcmplx_0(k1_funct_1(D,G),k1_funct_1(C,G)) ) ) ) => k5_int_1(A,k1_funct_1(D,k1_nat_1(F,1))) = k5_int_1(B,k1_funct_1(D,k1_nat_1(F,1))) ) => ( ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(C)) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k1_nat_1(F,1)) ) => k1_funct_1(D,k1_nat_1(H,1)) = k3_xcmplx_0(k1_funct_1(D,H),k1_funct_1(C,H)) ) ) ) => k5_int_1(A,k1_funct_1(D,k1_nat_1(k1_nat_1(F,1),1))) = k5_int_1(B,k1_funct_1(D,k1_nat_1(k1_nat_1(F,1),1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(1,I) & r1_xxreal_0(I,F) ) => k1_funct_1(D,k1_nat_1(I,1)) = k3_xcmplx_0(k1_funct_1(D,I),k1_funct_1(C,I)) ) ) ) => k5_int_1(A,k1_funct_1(D,k1_nat_1(F,1))) = k5_int_1(B,k1_funct_1(D,k1_nat_1(F,1))) ) ) ) ) )).
fof(s2_nat_1__e8_33__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( r2_tarski(k1_ordinal5(A,k5_numbers),k1_ordinal5(A,k1_nat_1(k5_numbers,1))) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k1_ordinal5(A,B),k1_ordinal5(A,k1_nat_1(B,1))) => r2_tarski(k1_ordinal5(A,k1_nat_1(B,1)),k1_ordinal5(A,k1_nat_1(k1_nat_1(B,1),1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k1_ordinal5(A,B),k1_ordinal5(A,k1_nat_1(B,1))) ) ) ) )).
fof(s2_nat_1__e8_34__jordan9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k5_numbers,k1_jordan9(A,B)))) ) => ( r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k5_numbers,k1_jordan9(A,B)),k1_jordan8(A,B),C),A) & ~ r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k5_numbers,k1_jordan9(A,B)),k1_jordan8(A,B),C),A) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan9(A,B)))) ) => ( r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan9(A,B)),k1_jordan8(A,B),E),A) & ~ r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan9(A,B)),k1_jordan8(A,B),E),A) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,1),k1_jordan9(A,B)))) ) => ( r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,1),k1_jordan9(A,B)),k1_jordan8(A,B),F),A) & ~ r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,1),k1_jordan9(A,B)),k1_jordan8(A,B),F),A) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan9(A,B)))) ) => ( r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan9(A,B)),k1_jordan8(A,B),G),A) & ~ r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan9(A,B)),k1_jordan8(A,B),G),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_36_1_2__scpisort,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ! [F] : ( m2_finseq_1(F,k4_numbers) => ! [G] : ( v7_ordinal1(G) => ( ( k1_funct_1(C,k2_scmp_gcd) = k5_numbers & k2_xcmplx_0(k1_funct_1(C,k1_scmp_gcd(2)),k1_funct_1(C,k1_scmp_gcd(1))) = k6_xcmplx_0(B,1) & k1_funct_1(C,k1_scmp_gcd(2)) = k5_numbers & G = k6_xcmplx_0(B,k1_funct_1(C,k1_scmp_gcd(2))) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(C,k1_scmp_gcd(3)),k1_funct_1(C,k1_scmp_gcd(1))),1) & r1_scpisort(E,C,A) & r1_scpisort(F,k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),C,D),A) & r3_graph_2(E,1,G) & k3_finseq_1(E) = B & k3_finseq_1(F) = B ) => ( r2_classes1(E,F) & r3_graph_2(F,1,B) ) ) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(I,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,k4_ordinal1) & v5_relat_1(J,u1_compos_1(k1_scmpds_2)) & v1_funct_1(J) & v1_partfun1(J,k4_ordinal1) ) => ! [K] : ( m2_finseq_1(K,k4_numbers) => ! [L] : ( m2_finseq_1(L,k4_numbers) => ! [M] : ( v7_ordinal1(M) => ( ( k1_funct_1(I,k2_scmp_gcd) = k5_numbers & k2_xcmplx_0(k1_funct_1(I,k1_scmp_gcd(2)),k1_funct_1(I,k1_scmp_gcd(1))) = k6_xcmplx_0(B,1) & k1_funct_1(I,k1_scmp_gcd(2)) = H & M = k6_xcmplx_0(B,k1_funct_1(I,k1_scmp_gcd(2))) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(I,k1_scmp_gcd(3)),k1_funct_1(I,k1_scmp_gcd(1))),1) & r1_scpisort(K,I,A) & r1_scpisort(L,k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),I,J),A) & r3_graph_2(K,1,M) & k3_finseq_1(K) = B & k3_finseq_1(L) = B ) => ( r2_classes1(K,L) & r3_graph_2(L,1,B) ) ) ) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(N,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,k4_ordinal1) & v5_relat_1(O,u1_compos_1(k1_scmpds_2)) & v1_funct_1(O) & v1_partfun1(O,k4_ordinal1) ) => ! [P] : ( m2_finseq_1(P,k4_numbers) => ! [Q] : ( m2_finseq_1(Q,k4_numbers) => ! [R] : ( v7_ordinal1(R) => ( ( k1_funct_1(N,k2_scmp_gcd) = k5_numbers & k2_xcmplx_0(k1_funct_1(N,k1_scmp_gcd(2)),k1_funct_1(N,k1_scmp_gcd(1))) = k6_xcmplx_0(B,1) & k1_funct_1(N,k1_scmp_gcd(2)) = k1_nat_1(H,1) & R = k6_xcmplx_0(B,k1_funct_1(N,k1_scmp_gcd(2))) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(N,k1_scmp_gcd(3)),k1_funct_1(N,k1_scmp_gcd(1))),1) & r1_scpisort(P,N,A) & r1_scpisort(Q,k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),N,O),A) & r3_graph_2(P,1,R) & k3_finseq_1(P) = B & k3_finseq_1(Q) = B ) => ( r2_classes1(P,Q) & r3_graph_2(Q,1,B) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ! [S] : ( ( v1_relat_1(S) & v4_relat_1(S,u1_struct_0(k1_scmpds_2)) & v1_funct_1(S) & v5_funct_1(S,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(S,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(S,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [T] : ( ( v1_relat_1(T) & v4_relat_1(T,k4_ordinal1) & v5_relat_1(T,u1_compos_1(k1_scmpds_2)) & v1_funct_1(T) & v1_partfun1(T,k4_ordinal1) ) => ! [U] : ( m2_finseq_1(U,k4_numbers) => ! [V] : ( m2_finseq_1(V,k4_numbers) => ! [W] : ( v7_ordinal1(W) => ( ( k1_funct_1(S,k2_scmp_gcd) = k5_numbers & k2_xcmplx_0(k1_funct_1(S,k1_scmp_gcd(2)),k1_funct_1(S,k1_scmp_gcd(1))) = k6_xcmplx_0(B,1) & k1_funct_1(S,k1_scmp_gcd(2)) = H & W = k6_xcmplx_0(B,k1_funct_1(S,k1_scmp_gcd(2))) & A = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(S,k1_scmp_gcd(3)),k1_funct_1(S,k1_scmp_gcd(1))),1) & r1_scpisort(U,S,A) & r1_scpisort(V,k6_scmpds_4(k2_scmpds_7(k2_scmp_gcd,2,1,k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd,3,1),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,4,3)),k11_scmpds_2(k2_scmp_gcd,1,1)),k16_scmpds_2(k2_scmp_gcd,k2_scmp_gcd,6,1)),k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))))),S,T),A) & r3_graph_2(U,1,W) & k3_finseq_1(U) = B & k3_finseq_1(V) = B ) => ( r2_classes1(U,V) & r3_graph_2(V,1,B) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_36_1__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( ! [D] : ( m2_rmod_4(D,A,B,C) => ( k4_card_1(k2_rmod_4(A,B,D)) = k5_numbers => r2_tarski(k5_rmod_4(A,B,D),C) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m2_rmod_4(F,A,B,C) => ( k4_card_1(k2_rmod_4(A,B,F)) = E => r2_tarski(k5_rmod_4(A,B,F),C) ) ) => ! [G] : ( m2_rmod_4(G,A,B,C) => ( k4_card_1(k2_rmod_4(A,B,G)) = k1_nat_1(E,1) => r2_tarski(k5_rmod_4(A,B,G),C) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m2_rmod_4(H,A,B,C) => ( k4_card_1(k2_rmod_4(A,B,H)) = E => r2_tarski(k5_rmod_4(A,B,H),C) ) ) ) ) ) )).
fof(s2_nat_1__e8_36__circcmb2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) & v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) & v4_msualg_1(D,B) & v4_msafree2(D,B) & l3_msualg_1(D,B) & m1_subset_1(E,k4_card_3(u3_msualg_1(B,D))) & m1_subset_1(F,k4_card_3(u3_msualg_1(A,C))) ) => ( ( k5_relat_1(k5_facirc_1(B,D,E,k5_numbers),u1_struct_0(A)) = k5_facirc_1(A,C,F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ( k5_relat_1(k5_facirc_1(B,D,E,G),u1_struct_0(A)) = k5_facirc_1(A,C,F,G) => k5_relat_1(k5_facirc_1(B,D,E,k1_nat_1(G,1)),u1_struct_0(A)) = k5_facirc_1(A,C,F,k1_nat_1(G,1)) ) ) ) => ! [G] : ( v7_ordinal1(G) => k5_relat_1(k5_facirc_1(B,D,E,G),u1_struct_0(A)) = k5_facirc_1(A,C,F,G) ) ) ) )).
fof(s2_nat_1__e8_37_1__finseq_3,axiom,( ! [A] : ! [B] : ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),k5_numbers) = k1_funct_1(k14_finseq_1(A),k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),C) = k1_funct_1(k14_finseq_1(A),C) ) => ( r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,k14_finseq_1(A))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),k1_nat_1(C,1)) = k1_funct_1(k14_finseq_1(A),k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) => k1_funct_1(k14_finseq_1(k2_xboole_0(A,B)),C) = k1_funct_1(k14_finseq_1(A),C) ) ) ) )).
fof(s2_nat_1__e8_37__comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(A)),k5_numbers) = k8_nat_1(k1_numbers,k7_comseq_3(k10_comseq_3(A)),k5_numbers) & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(A)),B) = k8_nat_1(k1_numbers,k7_comseq_3(k10_comseq_3(A)),B) => k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(A)),k1_nat_1(B,1)) = k8_nat_1(k1_numbers,k7_comseq_3(k10_comseq_3(A)),k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(k7_comseq_3(A)),B) = k8_nat_1(k1_numbers,k7_comseq_3(k10_comseq_3(A)),B) ) ) ) )).
fof(s2_nat_1__e8_39_1__rlvect_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m2_rlvect_2(C,A,B) => ( k4_card_1(k3_rlvect_2(A,C)) = k5_numbers => r2_tarski(k6_rlvect_2(A,C),B) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_rlvect_2(E,A,B) => ( k4_card_1(k3_rlvect_2(A,E)) = D => r2_tarski(k6_rlvect_2(A,E),B) ) ) => ! [F] : ( m2_rlvect_2(F,A,B) => ( k4_card_1(k3_rlvect_2(A,F)) = k1_nat_1(D,1) => r2_tarski(k6_rlvect_2(A,F),B) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_rlvect_2(G,A,B) => ( k4_card_1(k3_rlvect_2(A,G)) = D => r2_tarski(k6_rlvect_2(A,G),B) ) ) ) ) ) )).
fof(s2_nat_1__e8_39__mesfunc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(D,C) & m2_finseq_1(E,C) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(E)) => r1_mesfunc1(A,C,k2_partfun1(A,k6_numbers,B,k3_tarski(k2_relset_1(C,k2_partfun1(k4_ordinal1,C,E,k2_finseq_1(k5_numbers))))),D) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k3_finseq_1(E)) => r1_mesfunc1(A,C,k2_partfun1(A,k6_numbers,B,k3_tarski(k2_relset_1(C,k2_partfun1(k4_ordinal1,C,E,k2_finseq_1(F))))),D) ) => ( r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(E)) => r1_mesfunc1(A,C,k2_partfun1(A,k6_numbers,B,k3_tarski(k2_relset_1(C,k2_partfun1(k4_ordinal1,C,E,k2_finseq_1(k1_nat_1(F,1)))))),D) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k3_finseq_1(E)) => r1_mesfunc1(A,C,k2_partfun1(A,k6_numbers,B,k3_tarski(k2_relset_1(C,k2_partfun1(k4_ordinal1,C,E,k2_finseq_1(F))))),D) ) ) ) ) )).
fof(s2_nat_1__e8_3__cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( ( ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ~ ( k4_card_1(B) = k5_numbers & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_3(E,A,D,B) => ~ ( r2_funct_2(B,u1_struct_0(A),k3_cat_3(A,B,E),C) & r1_cat_3(A,D,B,E) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v1_finset_1(G) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,G,u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(G,u1_struct_0(A)))) ) => ~ ( k4_card_1(G) = F & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_cat_3(J,A,I,G) => ~ ( r2_funct_2(G,u1_struct_0(A),k3_cat_3(A,G,J),H) & r1_cat_3(A,I,G,J) ) ) ) ) ) ) => ! [K] : ( v1_finset_1(K) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,K,u1_struct_0(A)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(K,u1_struct_0(A)))) ) => ~ ( k4_card_1(K) = k1_nat_1(F,1) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( m1_cat_3(N,A,M,K) => ~ ( r2_funct_2(K,u1_struct_0(A),k3_cat_3(A,K,N),L) & r1_cat_3(A,M,K,N) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( v1_finset_1(O) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,O,u1_struct_0(A)) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(O,u1_struct_0(A)))) ) => ~ ( k4_card_1(O) = F & ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ! [R] : ( m1_cat_3(R,A,Q,O) => ~ ( r2_funct_2(O,u1_struct_0(A),k3_cat_3(A,O,R),P) & r1_cat_3(A,Q,O,R) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_3__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( k6_algstr_0(A,C,k6_lopban_3(A,B,k5_numbers)) = k6_algstr_0(A,k6_lopban_3(A,B,k5_numbers),C) & k6_algstr_0(A,B,k6_lopban_3(A,C,k5_numbers)) = k6_algstr_0(A,k6_lopban_3(A,C,k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( ( k6_algstr_0(A,C,k6_lopban_3(A,B,D)) = k6_algstr_0(A,k6_lopban_3(A,B,D),C) & k6_algstr_0(A,B,k6_lopban_3(A,C,D)) = k6_algstr_0(A,k6_lopban_3(A,C,D),B) ) => ( k6_algstr_0(A,C,k6_lopban_3(A,B,k1_nat_1(D,1))) = k6_algstr_0(A,k6_lopban_3(A,B,k1_nat_1(D,1)),C) & k6_algstr_0(A,B,k6_lopban_3(A,C,k1_nat_1(D,1))) = k6_algstr_0(A,k6_lopban_3(A,C,k1_nat_1(D,1)),B) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( k6_algstr_0(A,C,k6_lopban_3(A,B,D)) = k6_algstr_0(A,k6_lopban_3(A,B,D),C) & k6_algstr_0(A,B,k6_lopban_3(A,C,D)) = k6_algstr_0(A,k6_lopban_3(A,C,D),B) ) ) ) ) )).
fof(s2_nat_1__e8_3__measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k12_supinf_2(k16_supinf_2(A),k5_numbers) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),k5_numbers),k12_supinf_2(k16_supinf_2(C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k12_supinf_2(k16_supinf_2(A),D) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),D),k12_supinf_2(k16_supinf_2(C),D)) => k12_supinf_2(k16_supinf_2(A),k1_nat_1(D,1)) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),k1_nat_1(D,1)),k12_supinf_2(k16_supinf_2(C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k12_supinf_2(k16_supinf_2(A),D) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),D),k12_supinf_2(k16_supinf_2(C),D)) ) ) ) )).
fof(s2_nat_1__e8_43_1__zmodul02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m2_zmodul02(C,A,B) => ( k4_card_1(k18_zmodul02(A,C)) = k5_numbers => r2_tarski(k21_zmodul02(A,C),B) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_zmodul02(E,A,B) => ( k4_card_1(k18_zmodul02(A,E)) = D => r2_tarski(k21_zmodul02(A,E),B) ) ) => ! [F] : ( m2_zmodul02(F,A,B) => ( k4_card_1(k18_zmodul02(A,F)) = k1_nat_1(D,1) => r2_tarski(k21_zmodul02(A,F),B) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_zmodul02(G,A,B) => ( k4_card_1(k18_zmodul02(A,G)) = D => r2_tarski(k21_zmodul02(A,G),B) ) ) ) ) ) )).
fof(s2_nat_1__e8_44__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) & v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(D)) => k17_finseq_1(k1_numbers,k5_numbers,k20_rfunct_3(A,k3_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k3_rearran1(B,A,D,C),k1_funct_1(D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(D)) => k17_finseq_1(k1_numbers,E,k20_rfunct_3(A,k3_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k3_rearran1(B,A,D,C),k1_funct_1(D,E)) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(D)) => k17_finseq_1(k1_numbers,k1_nat_1(E,1),k20_rfunct_3(A,k3_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k3_rearran1(B,A,D,C),k1_funct_1(D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k17_finseq_1(k1_numbers,E,k20_rfunct_3(A,k3_rearran1(B,A,D,C),A)) = k20_rfunct_3(A,k3_rearran1(B,A,D,C),k1_funct_1(D,E)) ) ) ) ) )).
fof(s2_nat_1__e8_45_1_1_1_1_5_1_3__euclid_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) & m1_subset_1(E,k4_ordinal1) & v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(F,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( ( ( r1_xxreal_0(E,k2_xcmplx_0(E,k5_numbers)) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(C,1),1),k2_xcmplx_0(E,k5_numbers)) | k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(E,k5_numbers)) = k7_euclid(A,k8_euclid(A,k7_partfun1(k1_euclid(A),k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,F)),k2_xcmplx_0(E,k5_numbers)),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),k1_nat_1(k1_nat_1(C,1),1))),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),E)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(E,k2_xcmplx_0(E,G)) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(C,1),1),k2_xcmplx_0(E,G)) | k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(E,G)) = k7_euclid(A,k8_euclid(A,k7_partfun1(k1_euclid(A),k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,F)),k2_xcmplx_0(E,G)),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),k1_nat_1(k1_nat_1(C,1),1))),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),E)) ) ) => ( r1_xxreal_0(E,k2_xcmplx_0(E,k1_nat_1(G,1))) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(C,1),1),k2_xcmplx_0(E,k1_nat_1(G,1))) | k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(E,k1_nat_1(G,1))) = k7_euclid(A,k8_euclid(A,k7_partfun1(k1_euclid(A),k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,F)),k2_xcmplx_0(E,k1_nat_1(G,1))),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),k1_nat_1(k1_nat_1(C,1),1))),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),E)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(E,k2_xcmplx_0(E,G)) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(C,1),1),k2_xcmplx_0(E,G)) | k1_funct_1(k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,D)),k2_xcmplx_0(E,G)) = k7_euclid(A,k8_euclid(A,k7_partfun1(k1_euclid(A),k4_euclid_7(A,k2_euclid_7(k1_euclid(A),B,F)),k2_xcmplx_0(E,G)),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),k1_nat_1(k1_nat_1(C,1),1))),k7_partfun1(k1_euclid(A),k2_euclid_7(k1_euclid(A),B,D),E)) ) ) ) ) ) )).
fof(s2_nat_1__e8_47_1_1_2__scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v7_ordinal1(E) & v7_ordinal1(F) & v7_ordinal1(G) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(G,k5_numbers),E) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(F,k5_numbers))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(G,k5_numbers))) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k2_xcmplx_0(G,H),E) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(F,H))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(G,H))) ) => ( r1_xxreal_0(k2_xcmplx_0(G,k1_nat_1(H,1)),E) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(F,k1_nat_1(H,1)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(G,k1_nat_1(H,1)))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(k2_xcmplx_0(G,H),E) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(F,H))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k2_xcmplx_0(G,H))) ) ) ) ) )).
fof(s2_nat_1__e8_47_1_2__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(k1_funct_1(C,k5_numbers),B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k1_funct_1(C,D),B) => r2_tarski(k1_funct_1(C,k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => r2_tarski(k1_funct_1(C,D),B) ) ) ) )).
fof(s2_nat_1__e8_47_1__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,A,B)),k9_complex1(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k5_numbers)))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,A,B)),k9_complex1(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C)))) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,A,B)),k9_complex1(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,k1_nat_1(C,1))))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,A,B)),k9_complex1(k8_nat_1(k1_numbers,A,k2_xcmplx_0(B,C)))) ) ) ) )).
fof(s2_nat_1__e8_47_2__scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_funct_1(E) & v1_funct_2(E,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & v7_ordinal1(F) & v7_ordinal1(G) ) => ( ( ~ ( ~ r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k5_numbers))) ) & ! [H] : ( v7_ordinal1(H) => ( ~ ( ~ r1_xxreal_0(H,F) & r1_xxreal_0(H,G) & r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),H))) ) => ~ ( ~ r1_xxreal_0(k1_nat_1(H,1),F) & r1_xxreal_0(k1_nat_1(H,1),G) & r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),k1_nat_1(H,1)))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ~ ( ~ r1_xxreal_0(H,F) & r1_xxreal_0(H,G) & r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),H))) ) ) ) ) )).
fof(s2_nat_1__e8_4__measure7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k12_supinf_2(k16_supinf_2(A),k5_numbers) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),k5_numbers),k12_supinf_2(k16_supinf_2(C),k5_numbers)) & ! [D] : ( v7_ordinal1(D) => ( k12_supinf_2(k16_supinf_2(A),D) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),D),k12_supinf_2(k16_supinf_2(C),D)) => k12_supinf_2(k16_supinf_2(A),k1_nat_1(D,1)) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),k1_nat_1(D,1)),k12_supinf_2(k16_supinf_2(C),k1_nat_1(D,1))) ) ) ) => ! [D] : ( v7_ordinal1(D) => k12_supinf_2(k16_supinf_2(A),D) = k3_supinf_2(k12_supinf_2(k16_supinf_2(B),D),k12_supinf_2(k16_supinf_2(C),D)) ) ) ) )).
fof(s2_nat_1__e8_54__graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ( ! [C] : ( ( v7_graph_1(C,B) & m2_graph_1(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( r1_xxreal_0(k3_finseq_1(C),k1_nat_1(k5_numbers,1)) & r2_graph_5(B,D,E,C,A) & k6_graph_5(B,C) = k1_xboole_0 ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v7_graph_1(G,B) & m2_graph_1(G,B) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ~ ( r1_xxreal_0(k3_finseq_1(G),k1_nat_1(F,1)) & r2_graph_5(B,H,I,G,A) & k6_graph_5(B,G) = k1_xboole_0 ) ) ) ) => ! [J] : ( ( v7_graph_1(J,B) & m2_graph_1(J,B) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ! [L] : ( m1_subset_1(L,u1_struct_0(B)) => ~ ( r1_xxreal_0(k3_finseq_1(J),k1_nat_1(k1_nat_1(F,1),1)) & r2_graph_5(B,K,L,J,A) & k6_graph_5(B,J) = k1_xboole_0 ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [M] : ( ( v7_graph_1(M,B) & m2_graph_1(M,B) ) => ! [N] : ( m1_subset_1(N,u1_struct_0(B)) => ! [O] : ( m1_subset_1(O,u1_struct_0(B)) => ~ ( r1_xxreal_0(k3_finseq_1(M),k1_nat_1(F,1)) & r2_graph_5(B,N,O,M,A) & k6_graph_5(B,M) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_55_1__mesfunc9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ( v1_funct_1(k1_funct_1(B,k5_numbers)) & m1_subset_1(k1_funct_1(B,k5_numbers),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ( v1_funct_1(k1_funct_1(B,C)) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v1_funct_1(k1_funct_1(B,k1_nat_1(C,1))) & m1_subset_1(k1_funct_1(B,k1_nat_1(C,1)),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( v1_funct_1(k1_funct_1(B,C)) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) ) ) ) )).
fof(s2_nat_1__e8_59__matrixc1,axiom,( ( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ( k1_nat_1(k5_numbers,1) = k3_finseq_1(A) => k17_rvsum_1(k10_matrixc1(A)) = k17_rvsum_1(k11_matrixc1(A)) ) ) & ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k2_numbers)) ) => ( k1_nat_1(B,1) = k3_finseq_1(C) => k17_rvsum_1(k10_matrixc1(C)) = k17_rvsum_1(k11_matrixc1(C)) ) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(k2_numbers)) ) => ( k1_nat_1(k1_nat_1(B,1),1) = k3_finseq_1(D) => k17_rvsum_1(k10_matrixc1(D)) = k17_rvsum_1(k11_matrixc1(D)) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [E] : ( ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(k2_numbers)) ) => ( k1_nat_1(B,1) = k3_finseq_1(E) => k17_rvsum_1(k10_matrixc1(E)) = k17_rvsum_1(k11_matrixc1(E)) ) ) ) )).
fof(s2_nat_1__e8_5_3__measure6,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ~ r1_xxreal_0(A,k3_supinf_2(k12_supinf_2(k16_supinf_2(B),k5_numbers),k12_supinf_2(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(A,k3_supinf_2(k12_supinf_2(k16_supinf_2(B),C),k12_supinf_2(B,C))) => ~ r1_xxreal_0(A,k3_supinf_2(k12_supinf_2(k16_supinf_2(B),k1_nat_1(C,1)),k12_supinf_2(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(A,k3_supinf_2(k12_supinf_2(k16_supinf_2(B),C),k12_supinf_2(B,C))) ) ) ) )).
fof(s2_nat_1__e8_61_1_1__polynom5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m2_finseq_1(B,u1_struct_0(k13_polynom3(A))) ) => ( ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),k5_numbers,B)) => r1_xxreal_0(k1_algseq_1(A,C),1) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( E = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),D,B)) => r1_xxreal_0(k1_algseq_1(A,E),1) ) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( F = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),k1_nat_1(D,1),B)) => r1_xxreal_0(k1_algseq_1(A,F),1) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( G = k4_rlvect_1(k13_polynom3(A),k17_finseq_1(u1_struct_0(k13_polynom3(A)),D,B)) => r1_xxreal_0(k1_algseq_1(A,G),1) ) ) ) ) ) )).
fof(s2_nat_1__e8_61__cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( ( ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ~ ( k4_card_1(B) = k5_numbers & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m2_cat_3(E,A,D,B) => ~ ( r2_funct_2(B,u1_struct_0(A),k2_cat_3(A,B,E),C) & r3_cat_3(A,D,B,E) ) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v1_finset_1(G) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,G,u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(G,u1_struct_0(A)))) ) => ~ ( k4_card_1(G) = F & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m2_cat_3(J,A,I,G) => ~ ( r2_funct_2(G,u1_struct_0(A),k2_cat_3(A,G,J),H) & r3_cat_3(A,I,G,J) ) ) ) ) ) ) => ! [K] : ( v1_finset_1(K) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,K,u1_struct_0(A)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(K,u1_struct_0(A)))) ) => ~ ( k4_card_1(K) = k1_nat_1(F,1) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( m2_cat_3(N,A,M,K) => ~ ( r2_funct_2(K,u1_struct_0(A),k2_cat_3(A,K,N),L) & r3_cat_3(A,M,K,N) ) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [O] : ( v1_finset_1(O) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,O,u1_struct_0(A)) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(O,u1_struct_0(A)))) ) => ~ ( k4_card_1(O) = F & ! [Q] : ( m1_subset_1(Q,u1_struct_0(A)) => ! [R] : ( m2_cat_3(R,A,Q,O) => ~ ( r2_funct_2(O,u1_struct_0(A),k2_cat_3(A,O,R),P) & r3_cat_3(A,Q,O,R) ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_62_2__bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ( ( ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ( k4_card_1(B) = k5_numbers => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),B,B),k3_tarski(k10_xtuple_0(k12_bagorder(A)))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) => ( k4_card_1(D) = C => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),D,D),k3_tarski(k10_xtuple_0(k12_bagorder(A)))) ) ) => ! [E] : ( m1_subset_1(E,k5_finsub_1(u1_struct_0(A))) => ( k4_card_1(E) = k1_nat_1(C,1) => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),E,E),k3_tarski(k10_xtuple_0(k12_bagorder(A)))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [F] : ( m1_subset_1(F,k5_finsub_1(u1_struct_0(A))) => ( k4_card_1(F) = C => r2_tarski(k1_domain_1(k5_finsub_1(u1_struct_0(A)),k5_finsub_1(u1_struct_0(A)),F,F),k3_tarski(k10_xtuple_0(k12_bagorder(A)))) ) ) ) ) ) )).
fof(s2_nat_1__e8_62__series_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k1_square_1(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers),k8_nat_1(k1_numbers,k3_series_1(C),k5_numbers))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_square_1(k8_nat_1(k1_numbers,k3_series_1(A),D)),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),D),k8_nat_1(k1_numbers,k3_series_1(C),D))) => r1_xxreal_0(k1_square_1(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(D,1))),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(D,1)),k8_nat_1(k1_numbers,k3_series_1(C),k1_nat_1(D,1)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_square_1(k8_nat_1(k1_numbers,k3_series_1(A),D)),k4_real_1(k8_nat_1(k1_numbers,k3_series_1(B),D),k8_nat_1(k1_numbers,k3_series_1(C),D))) ) ) ) )).
fof(s2_nat_1__e8_63_1__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k5_numbers)) = k12_supinf_2(k1_mesfunc9(E),k5_numbers) & ! [F] : ( v7_ordinal1(F) => ( k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),F)) = k12_supinf_2(k1_mesfunc9(E),F) => k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),k1_nat_1(F,1))) = k12_supinf_2(k1_mesfunc9(E),k1_nat_1(F,1)) ) ) ) => ! [F] : ( v7_ordinal1(F) => k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,D),F)) = k12_supinf_2(k1_mesfunc9(E),F) ) ) ) )).
fof(s2_nat_1__e8_63__catalan2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ? [B] : ( v1_xreal_0(B) & r1_xxreal_0(k5_numbers,B) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k5_numbers) => r1_xxreal_0(k9_complex1(k4_series_1(k7_nat_1(k1_numbers,A,C))),B) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v1_xreal_0(E) & r1_xxreal_0(k5_numbers,E) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,D) => r1_xxreal_0(k9_complex1(k4_series_1(k7_nat_1(k1_numbers,A,F))),E) ) ) ) => ? [G] : ( v1_xreal_0(G) & r1_xxreal_0(k5_numbers,G) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,k1_nat_1(D,1)) => r1_xxreal_0(k9_complex1(k4_series_1(k7_nat_1(k1_numbers,A,H))),G) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ? [I] : ( v1_xreal_0(I) & r1_xxreal_0(k5_numbers,I) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,D) => r1_xxreal_0(k9_complex1(k4_series_1(k7_nat_1(k1_numbers,A,J))),I) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_66_1__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_matrix_0(D) & v2_matrix_0(D,k1_numbers,k1_nat_1(A,1),k1_nat_1(B,1)) & m2_finseq_1(D,k3_finseq_2(k1_numbers)) & v7_ordinal1(E) ) => ( ( ( r1_xxreal_0(k1_nat_1(k5_numbers,1),k1_matrix_0(D)) => k1_binop_1(k2_dblseq_2(C),E,k5_numbers) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(k5_numbers,1),k7_matrix_0(k1_numbers,D,k1_nat_1(E,1)))) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k1_nat_1(F,1),k1_matrix_0(D)) => k1_binop_1(k2_dblseq_2(C),E,F) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(F,1),k7_matrix_0(k1_numbers,D,k1_nat_1(E,1)))) ) => ( r1_xxreal_0(k1_nat_1(k1_nat_1(F,1),1),k1_matrix_0(D)) => k1_binop_1(k2_dblseq_2(C),E,k1_nat_1(F,1)) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(k1_nat_1(F,1),1),k7_matrix_0(k1_numbers,D,k1_nat_1(E,1)))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(k1_nat_1(F,1),k1_matrix_0(D)) => k1_binop_1(k2_dblseq_2(C),E,F) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(F,1),k7_matrix_0(k1_numbers,D,k1_nat_1(E,1)))) ) ) ) ) )).
fof(s2_nat_1__e8_66__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v1_matrix_0(D) & v2_matrix_0(D,k1_numbers,k1_nat_1(A,1),k1_nat_1(B,1)) & m2_finseq_1(D,k3_finseq_2(k1_numbers)) ) => ( ( ( r1_xxreal_0(k5_numbers,A) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(C)),k5_numbers,B) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(k5_numbers,1),k3_matrprob(D))) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,A) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(C)),E,B) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(E,1),k3_matrprob(D))) ) => ( r1_xxreal_0(k1_nat_1(E,1),A) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(C)),k1_nat_1(E,1),B) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(k1_nat_1(E,1),1),k3_matrprob(D))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,A) => k1_binop_1(k3_dblseq_2(k2_dblseq_2(C)),E,B) = k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(E,1),k3_matrprob(D))) ) ) ) ) )).
fof(s2_nat_1__e8_66__matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_1(B,u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A))))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,C) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)) => k12_matrix_3(A,k2_vectsp_1,C) = k5_struct_0(k2_vectsp_1) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,E) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)) => k12_matrix_3(A,k2_vectsp_1,E) = k5_struct_0(k2_vectsp_1) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,F) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)) => k12_matrix_3(A,k2_vectsp_1,F) = k5_struct_0(k2_vectsp_1) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,G) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)) => k12_matrix_3(A,k2_vectsp_1,G) = k5_struct_0(k2_vectsp_1) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_68__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_6(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) & m1_rewrite1(F,k4_subset_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D),k3_relset_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D)))) & m1_msualg_6(G,A,B) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(F)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D),k3_funct_2(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),E),k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),k1_funct_1(F,k5_numbers))) ) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k4_finseq_1(F)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D),k3_funct_2(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),E),k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),k1_funct_1(F,H))) ) => ( r2_tarski(k1_nat_1(H,1),k4_finseq_1(F)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D),k3_funct_2(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),E),k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),k1_funct_1(F,k1_nat_1(H,1)))) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(F)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D),k3_funct_2(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),E),k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),G,D),k1_funct_1(F,H))) ) ) ) ) )).
fof(s2_nat_1__e8_70__mesfunc5,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(A)) => r1_xxreal_0(k5_numbers,k8_nat_1(k6_numbers,B,k5_numbers)) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,k3_finseq_1(A)) => r1_xxreal_0(k5_numbers,k8_nat_1(k6_numbers,B,C)) ) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) => r1_xxreal_0(k5_numbers,k8_nat_1(k6_numbers,B,k1_nat_1(C,1))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(A)) => r1_xxreal_0(k5_numbers,k8_nat_1(k6_numbers,B,C)) ) ) ) ) )).
fof(s2_nat_1__e8_70__simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & v1_finset_1(C) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( ! [D] : ( m3_simplex0(D,k5_simplex1(k5_numbers,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),k6_xcmplx_0(A,1)) => ! [E] : ( E = a_4_6_simplex1(A,B,C,D) => ( ( ~ r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(k5_numbers,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),D)),k1_rlaffin2(B,C)) => k1_card_1(E) = 2 ) & ( r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(k5_numbers,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),D)),k1_rlaffin2(B,C)) => k1_card_1(E) = 1 ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m3_simplex0(G,k5_simplex1(F,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),k6_xcmplx_0(A,1)) => ! [H] : ( H = a_5_3_simplex1(A,B,C,F,G) => ( ( ~ r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(F,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),G)),k1_rlaffin2(B,C)) => k1_card_1(H) = 2 ) & ( r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(F,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),G)),k1_rlaffin2(B,C)) => k1_card_1(H) = 1 ) ) ) ) => ! [I] : ( m3_simplex0(I,k5_simplex1(k1_nat_1(F,1),B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),k6_xcmplx_0(A,1)) => ! [J] : ( J = a_5_7_simplex1(A,B,C,F,I) => ( ( ~ r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(k1_nat_1(F,1),B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),I)),k1_rlaffin2(B,C)) => k1_card_1(J) = 2 ) & ( r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(k1_nat_1(F,1),B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),I)),k1_rlaffin2(B,C)) => k1_card_1(J) = 1 ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [K] : ( m3_simplex0(K,k5_simplex1(F,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),k6_xcmplx_0(A,1)) => ! [L] : ( L = a_5_3_simplex1(A,B,C,F,K) => ( ( ~ r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(F,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),K)),k1_rlaffin2(B,C)) => k1_card_1(L) = 2 ) & ( r1_xboole_0(k3_convex1(B,k1_simplex1(B,k5_simplex1(F,B,k5_simplex0(u1_struct_0(B),k6_domain_1(k1_zfmisc_1(u1_struct_0(B)),C))),K)),k1_rlaffin2(B,C)) => k1_card_1(L) = 1 ) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_73_1__idea_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,k4_ordinal1,B,6) & m2_finseq_1(C,k3_finseq_2(k4_ordinal1)) & v1_matrix_0(D) & v2_matrix_0(D,k4_ordinal1,B,6) & m2_finseq_1(D,k3_finseq_2(k4_ordinal1)) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ( ( r1_xxreal_0(k5_numbers,B) & v1_int_2(k1_nat_1(k5_series_1(2,A),1)) & r1_xxreal_0(4,k3_finseq_1(E)) & r1_idea_1(A,k1_recdef_1(E,1)) & r1_idea_1(A,k1_recdef_1(E,2)) & r1_idea_1(A,k1_recdef_1(E,3)) & r1_idea_1(A,k1_recdef_1(E,4)) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k5_numbers) => ( r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,6)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,F,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,F,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,F,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,F,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,F,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,F,6)) & k3_matrix_0(k4_ordinal1,D,F,1) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,1)) & k3_matrix_0(k4_ordinal1,D,F,2) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,3)) & k3_matrix_0(k4_ordinal1,D,F,3) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,2)) & k3_matrix_0(k4_ordinal1,D,F,4) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,F,4)) & k3_matrix_0(k4_ordinal1,C,F,5) = k3_matrix_0(k4_ordinal1,D,F,5) & k3_matrix_0(k4_ordinal1,C,F,6) = k3_matrix_0(k4_ordinal1,D,F,6) ) ) ) ) => k1_funct_1(k3_funct_7(k14_idea_1,k7_finseq_1(k17_idea_1(k5_numbers,B,A,C),k18_idea_1(k5_numbers,B,A,D))),E) = E ) & ! [G] : ( v7_ordinal1(G) => ( ( ( r1_xxreal_0(G,B) & v1_int_2(k1_nat_1(k5_series_1(2,A),1)) & r1_xxreal_0(4,k3_finseq_1(E)) & r1_idea_1(A,k1_recdef_1(E,1)) & r1_idea_1(A,k1_recdef_1(E,2)) & r1_idea_1(A,k1_recdef_1(E,3)) & r1_idea_1(A,k1_recdef_1(E,4)) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,G) => ( r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,6)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,H,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,H,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,H,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,H,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,H,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,H,6)) & k3_matrix_0(k4_ordinal1,D,H,1) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,1)) & k3_matrix_0(k4_ordinal1,D,H,2) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,3)) & k3_matrix_0(k4_ordinal1,D,H,3) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,2)) & k3_matrix_0(k4_ordinal1,D,H,4) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,H,4)) & k3_matrix_0(k4_ordinal1,C,H,5) = k3_matrix_0(k4_ordinal1,D,H,5) & k3_matrix_0(k4_ordinal1,C,H,6) = k3_matrix_0(k4_ordinal1,D,H,6) ) ) ) ) => k1_funct_1(k3_funct_7(k14_idea_1,k7_finseq_1(k17_idea_1(G,B,A,C),k18_idea_1(G,B,A,D))),E) = E ) => ( ( r1_xxreal_0(k1_nat_1(G,1),B) & v1_int_2(k1_nat_1(k5_series_1(2,A),1)) & r1_xxreal_0(4,k3_finseq_1(E)) & r1_idea_1(A,k1_recdef_1(E,1)) & r1_idea_1(A,k1_recdef_1(E,2)) & r1_idea_1(A,k1_recdef_1(E,3)) & r1_idea_1(A,k1_recdef_1(E,4)) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k1_nat_1(G,1)) => ( r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,6)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,I,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,I,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,I,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,I,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,I,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,I,6)) & k3_matrix_0(k4_ordinal1,D,I,1) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,1)) & k3_matrix_0(k4_ordinal1,D,I,2) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,3)) & k3_matrix_0(k4_ordinal1,D,I,3) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,2)) & k3_matrix_0(k4_ordinal1,D,I,4) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,I,4)) & k3_matrix_0(k4_ordinal1,C,I,5) = k3_matrix_0(k4_ordinal1,D,I,5) & k3_matrix_0(k4_ordinal1,C,I,6) = k3_matrix_0(k4_ordinal1,D,I,6) ) ) ) ) => k1_funct_1(k3_funct_7(k14_idea_1,k7_finseq_1(k17_idea_1(k1_nat_1(G,1),B,A,C),k18_idea_1(k1_nat_1(G,1),B,A,D))),E) = E ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,B) & v1_int_2(k1_nat_1(k5_series_1(2,A),1)) & r1_xxreal_0(4,k3_finseq_1(E)) & r1_idea_1(A,k1_recdef_1(E,1)) & r1_idea_1(A,k1_recdef_1(E,2)) & r1_idea_1(A,k1_recdef_1(E,3)) & r1_idea_1(A,k1_recdef_1(E,4)) & ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(J,G) => ( r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,6)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,J,1)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,J,2)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,J,3)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,J,4)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,J,5)) & r1_idea_1(A,k3_matrix_0(k4_ordinal1,D,J,6)) & k3_matrix_0(k4_ordinal1,D,J,1) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,1)) & k3_matrix_0(k4_ordinal1,D,J,2) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,3)) & k3_matrix_0(k4_ordinal1,D,J,3) = k6_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,2)) & k3_matrix_0(k4_ordinal1,D,J,4) = k10_idea_1(A,k3_matrix_0(k4_ordinal1,C,J,4)) & k3_matrix_0(k4_ordinal1,C,J,5) = k3_matrix_0(k4_ordinal1,D,J,5) & k3_matrix_0(k4_ordinal1,C,J,6) = k3_matrix_0(k4_ordinal1,D,J,6) ) ) ) ) => k1_funct_1(k3_funct_7(k14_idea_1,k7_finseq_1(k17_idea_1(G,B,A,C),k18_idea_1(G,B,A,D))),E) = E ) ) ) ) )).
fof(s2_nat_1__e8_76__lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ( k13_lexbfs(A,k16_lexbfs(A),k15_glib_000(A)) = k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( k13_lexbfs(A,k16_lexbfs(A),k15_glib_000(A)) = k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B)) => k13_lexbfs(A,k16_lexbfs(A),k15_glib_000(A)) = k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => k13_lexbfs(A,k16_lexbfs(A),k15_glib_000(A)) = k13_lexbfs(A,k16_lexbfs(A),k2_xcmplx_0(k15_glib_000(A),B)) ) ) ) )).
fof(s2_nat_1__e8_81_1_2_2__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_relat_1(B) & m1_rewrite1(D,B) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,E)) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => r2_rewrite1(A,C,k1_funct_1(D,E)) ) ) ) ) )).
fof(s2_nat_1__e8_86__pdiff_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ~ v1_xboole_0(D) & m2_finseq_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k5_numbers),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),F)) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),F)) ) ) ) ) )).
fof(s2_nat_1__e8_8_1_1_1__gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( ~ ( k5_numbers != k5_numbers & r1_xxreal_0(1,k5_numbers) & ~ r1_xxreal_0(k3_finseq_1(k2_goboard2(A)),k5_numbers) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(k5_numbers,1),1)),k17_euclid(B)) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( C != k5_numbers & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k2_goboard2(A)),C) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),1)),k17_euclid(B)) ) => ~ ( k1_nat_1(C,1) != k5_numbers & r1_xxreal_0(1,k1_nat_1(C,1)) & ~ r1_xxreal_0(k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,1)) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(k1_nat_1(C,1),1),1)),k17_euclid(B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( C != k5_numbers & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k2_goboard2(A)),C) & ~ r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),1)),k17_euclid(B)) ) ) ) ) )).
fof(s2_nat_1__e8_8_1_3_1__gobrd11,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( ~ ( k5_numbers != k5_numbers & r1_xxreal_0(1,k5_numbers) & ~ r1_xxreal_0(k1_matrix_0(k2_goboard2(A)),k5_numbers) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(k5_numbers,1))),k18_euclid(B)) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( C != k5_numbers & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k1_matrix_0(k2_goboard2(A)),C) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,1))),k18_euclid(B)) ) => ~ ( k1_nat_1(C,1) != k5_numbers & r1_xxreal_0(1,k1_nat_1(C,1)) & ~ r1_xxreal_0(k1_matrix_0(k2_goboard2(A)),k1_nat_1(C,1)) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(k1_nat_1(C,1),1))),k18_euclid(B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( C != k5_numbers & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k1_matrix_0(k2_goboard2(A)),C) & ~ r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,1))),k18_euclid(B)) ) ) ) ) )).
fof(s2_nat_1__e8_90_1_1__sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(A))),k1_nat_1(k5_numbers,1)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k24_sin_cos(A))),k5_numbers)) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(A))),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k24_sin_cos(A))),B)) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(A))),k1_nat_1(k1_nat_1(B,1),1)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k24_sin_cos(A))),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k3_sin_cos(A))),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k24_sin_cos(A))),B)) ) ) ) )).
fof(s2_nat_1__e8_9__euclid_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) & v7_ordinal1(B) ) => ( ( ~ ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(B,1),k5_numbers),k3_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A,k2_xcmplx_0(k1_nat_1(B,1),k5_numbers)),k1_funct_1(A,B)) ) & ! [C] : ( v7_ordinal1(C) => ( ~ ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(B,1),C),k3_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A,k2_xcmplx_0(k1_nat_1(B,1),C)),k1_funct_1(A,B)) ) => ~ ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(C,1)),k3_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A,k2_xcmplx_0(k1_nat_1(B,1),k1_nat_1(C,1))),k1_funct_1(A,B)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(B,1),C),k3_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A,k2_xcmplx_0(k1_nat_1(B,1),C)),k1_funct_1(A,B)) ) ) ) ) )).
fof(s2_nat_1__e8_9__jordan14,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k5_numbers,k1_jordan13(A,B)))) ) => ( r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k5_numbers,k1_jordan13(A,B)),k1_jordan8(A,B),C),A) & ~ r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k5_numbers,k1_jordan13(A,B)),k1_jordan8(A,B),C),A) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan13(A,B)))) ) => ( r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan13(A,B)),k1_jordan8(A,B),E),A) & ~ r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan13(A,B)),k1_jordan8(A,B),E),A) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,1),k1_jordan13(A,B)))) ) => ( r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,1),k1_jordan13(A,B)),k1_jordan8(A,B),F),A) & ~ r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),k1_nat_1(D,1),k1_jordan13(A,B)),k1_jordan8(A,B),F),A) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan13(A,B)))) ) => ( r1_xboole_0(k1_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan13(A,B)),k1_jordan8(A,B),G),A) & ~ r1_xboole_0(k2_gobrd13(k17_finseq_1(u1_struct_0(k15_euclid(2)),D,k1_jordan13(A,B)),k1_jordan8(A,B),G),A) ) ) ) ) ) ) )).
fof(s2_nat_1__e8_9__measure7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k8_nat_1(k6_numbers,k16_supinf_2(A),k1_xxreal_3(B,k5_numbers))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k8_nat_1(k6_numbers,k16_supinf_2(A),k1_xxreal_3(B,C))) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k8_nat_1(k6_numbers,k16_supinf_2(A),k1_xxreal_3(B,k1_nat_1(C,1)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),B),k8_nat_1(k6_numbers,k16_supinf_2(A),k1_xxreal_3(B,C))) ) ) ) )).
fof(s2_nat_1__e9_10__matrix_7,axiom,( ( ! [A] : ( m2_finseq_1(A,u1_struct_0(k10_matrix_1(2))) => ( ( k3_finseq_1(A) = k3_xcmplx_0(2,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( m1_matrix_1(C,k9_matrix_1(2)) => ~ ( k1_funct_1(A,B) = C & v5_matrix_1(C,k8_matrix_1(k9_matrix_1(2))) ) ) ) ) ) => k3_group_4(k10_matrix_1(2),A) = k10_finseq_1(1,2) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k10_matrix_1(2))) => ( ( k3_finseq_1(E) = k3_xcmplx_0(2,D) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_matrix_1(G,k9_matrix_1(2)) => ~ ( k1_funct_1(E,F) = G & v5_matrix_1(G,k8_matrix_1(k9_matrix_1(2))) ) ) ) ) ) => k3_group_4(k10_matrix_1(2),E) = k10_finseq_1(1,2) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(k10_matrix_1(2))) => ( ( k3_finseq_1(H) = k3_xcmplx_0(2,k1_nat_1(D,1)) & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(H)) & ! [J] : ( m1_matrix_1(J,k9_matrix_1(2)) => ~ ( k1_funct_1(H,I) = J & v5_matrix_1(J,k8_matrix_1(k9_matrix_1(2))) ) ) ) ) ) => k3_group_4(k10_matrix_1(2),H) = k10_finseq_1(1,2) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k10_matrix_1(2))) => ( ( k3_finseq_1(K) = k3_xcmplx_0(2,D) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(K)) & ! [M] : ( m1_matrix_1(M,k9_matrix_1(2)) => ~ ( k1_funct_1(K,L) = M & v5_matrix_1(M,k8_matrix_1(k9_matrix_1(2))) ) ) ) ) ) => k3_group_4(k10_matrix_1(2),K) = k10_finseq_1(1,2) ) ) ) )).
fof(s2_nat_1__e9_115__fomodel3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(B) & ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) & v4_fomodel1(D,C) & m1_subset_1(D,k1_fomodel1(C)) & v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,C,B) & m2_subset_1(F,k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0)),k35_fomodel1(C)) & m1_subset_1(G,B) ) => ( ( k5_relat_1(k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),k35_fomodel1(C)),k7_fomodel2(C,k35_fomodel1(C),F,k34_fomodel2(C,k35_fomodel1(C),k7_fomodel3(C,A),D,F)),k5_numbers),k9_fomodel2(C,B,E)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),k5_numbers)) = k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),B),k7_fomodel2(C,B,G,k5_fomodel2(E,D,k3_funct_2(k35_fomodel1(C),B,k9_fomodel2(C,B,E),F))),k5_numbers),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),k5_numbers)) & ! [H] : ( v7_ordinal1(H) => ( k5_relat_1(k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),k35_fomodel1(C)),k7_fomodel2(C,k35_fomodel1(C),F,k34_fomodel2(C,k35_fomodel1(C),k7_fomodel3(C,A),D,F)),H),k9_fomodel2(C,B,E)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),H)) = k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),B),k7_fomodel2(C,B,G,k5_fomodel2(E,D,k3_funct_2(k35_fomodel1(C),B,k9_fomodel2(C,B,E),F))),H),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),H)) => k5_relat_1(k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),k35_fomodel1(C)),k7_fomodel2(C,k35_fomodel1(C),F,k34_fomodel2(C,k35_fomodel1(C),k7_fomodel3(C,A),D,F)),k1_nat_1(H,1)),k9_fomodel2(C,B,E)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),k1_nat_1(H,1))) = k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),B),k7_fomodel2(C,B,G,k5_fomodel2(E,D,k3_funct_2(k35_fomodel1(C),B,k9_fomodel2(C,B,E),F))),k1_nat_1(H,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),k1_nat_1(H,1))) ) ) ) => ! [H] : ( v7_ordinal1(H) => k5_relat_1(k3_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),k35_fomodel1(C)),k7_fomodel2(C,k35_fomodel1(C),F,k34_fomodel2(C,k35_fomodel1(C),k7_fomodel3(C,A),D,F)),H),k9_fomodel2(C,B,E)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),H)) = k5_relat_1(k8_nat_1(k9_funct_2(k35_fomodel1(C),B),k7_fomodel2(C,B,G,k5_fomodel2(E,D,k3_funct_2(k35_fomodel1(C),B,k9_fomodel2(C,B,E),F))),H),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))),k39_fomodel1(C),H)) ) ) ) )).
fof(s2_nat_1__e9_12__topdim_2,axiom,( ( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ~ ( v5_waybel23(A) & v3_topdim_1(A) & r1_xxreal_0(k4_topdim_1(A),k3_xxreal_3(k5_numbers,1)) & ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( m1_setfam_1(B,u1_struct_0(A)) & v2_topdim_1(B,A) & r1_xxreal_0(k3_topdim_1(A,B),k5_numbers) & r1_xxreal_0(k4_card_1(B),k5_numbers) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => ( r1_xboole_0(C,D) | C = D ) ) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v2_pre_topc(F) & v3_pcomps_1(F) & l1_pre_topc(F) ) => ~ ( v5_waybel23(F) & v3_topdim_1(F) & r1_xxreal_0(k4_topdim_1(F),k3_xxreal_3(E,1)) & ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(F)))) ) => ~ ( m1_setfam_1(G,u1_struct_0(F)) & v2_topdim_1(G,F) & r1_xxreal_0(k3_topdim_1(F,G),k5_numbers) & r1_xxreal_0(k4_card_1(G),E) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(F))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(F))) => ( ( r2_tarski(H,G) & r2_tarski(I,G) ) => ( r1_xboole_0(H,I) | H = I ) ) ) ) ) ) ) ) => ! [J] : ( ( v2_pre_topc(J) & v3_pcomps_1(J) & l1_pre_topc(J) ) => ~ ( v5_waybel23(J) & v3_topdim_1(J) & r1_xxreal_0(k4_topdim_1(J),k3_xxreal_3(k1_nat_1(E,1),1)) & ! [K] : ( ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(J)))) ) => ~ ( m1_setfam_1(K,u1_struct_0(J)) & v2_topdim_1(K,J) & r1_xxreal_0(k3_topdim_1(J,K),k5_numbers) & r1_xxreal_0(k4_card_1(K),k1_nat_1(E,1)) & ! [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(J))) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(u1_struct_0(J))) => ( ( r2_tarski(L,K) & r2_tarski(M,K) ) => ( r1_xboole_0(L,M) | L = M ) ) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [N] : ( ( v2_pre_topc(N) & v3_pcomps_1(N) & l1_pre_topc(N) ) => ~ ( v5_waybel23(N) & v3_topdim_1(N) & r1_xxreal_0(k4_topdim_1(N),k3_xxreal_3(E,1)) & ! [O] : ( ( v1_finset_1(O) & m1_subset_1(O,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(N)))) ) => ~ ( m1_setfam_1(O,u1_struct_0(N)) & v2_topdim_1(O,N) & r1_xxreal_0(k3_topdim_1(N,O),k5_numbers) & r1_xxreal_0(k4_card_1(O),E) & ! [P] : ( m1_subset_1(P,k1_zfmisc_1(u1_struct_0(N))) => ! [Q] : ( m1_subset_1(Q,k1_zfmisc_1(u1_struct_0(N))) => ( ( r2_tarski(P,O) & r2_tarski(Q,O) ) => ( r1_xboole_0(P,Q) | P = Q ) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_13_1__cardfin2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers))) ) => ( ( ( r2_tarski(k5_numbers,k5_card_1(k1_nat_1(k4_card_1(A),1))) => k8_nat_1(k1_numbers,k3_series_1(k26_valued_1(k4_ordinal1,k1_numbers,k6_taylor_1(k22_sin_cos,k2_subset_1(k1_numbers),k5_numbers,k4_xcmplx_0(1)),k2_newton(k4_card_1(A)))),k5_numbers) = k8_nat_1(k4_numbers,B,k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k5_card_1(k1_nat_1(k4_card_1(A),1))) => k8_nat_1(k1_numbers,k3_series_1(k26_valued_1(k4_ordinal1,k1_numbers,k6_taylor_1(k22_sin_cos,k2_subset_1(k1_numbers),k5_numbers,k4_xcmplx_0(1)),k2_newton(k4_card_1(A)))),C) = k8_nat_1(k4_numbers,B,C) ) => ( r2_tarski(k1_nat_1(C,1),k5_card_1(k1_nat_1(k4_card_1(A),1))) => k8_nat_1(k1_numbers,k3_series_1(k26_valued_1(k4_ordinal1,k1_numbers,k6_taylor_1(k22_sin_cos,k2_subset_1(k1_numbers),k5_numbers,k4_xcmplx_0(1)),k2_newton(k4_card_1(A)))),k1_nat_1(C,1)) = k8_nat_1(k4_numbers,B,k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k5_card_1(k1_nat_1(k4_card_1(A),1))) => k8_nat_1(k1_numbers,k3_series_1(k26_valued_1(k4_ordinal1,k1_numbers,k6_taylor_1(k22_sin_cos,k2_subset_1(k1_numbers),k5_numbers,k4_xcmplx_0(1)),k2_newton(k4_card_1(A)))),C) = k8_nat_1(k4_numbers,B,C) ) ) ) ) )).
fof(s2_nat_1__e9_14_2__amistd_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ~ ( k7_partfun1(k4_ordinal1,B,k5_numbers) = C & r1_xxreal_0(A,C) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ~ ( k7_partfun1(k4_ordinal1,B,D) = E & r1_xxreal_0(A,E) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(D,1)) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) & ! [F] : ( v7_ordinal1(F) => ~ ( k7_partfun1(k4_ordinal1,B,k1_nat_1(D,1)) = F & r1_xxreal_0(A,F) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( v7_ordinal1(G) => ~ ( k7_partfun1(k4_ordinal1,B,D) = G & r1_xxreal_0(A,G) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_16__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k1_newton(A,k2_xcmplx_0(2,k5_numbers)),A) & ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k1_newton(A,k2_xcmplx_0(2,B)),A) => ~ r1_xxreal_0(k1_newton(A,k2_xcmplx_0(2,k1_nat_1(B,1))),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k1_newton(A,k2_xcmplx_0(2,B)),A) ) ) ) )).
fof(s2_nat_1__e9_19__jordan1d,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & v2_compts_1(D,k15_euclid(2)) & ~ v1_sppol_1(D) & ~ v2_sppol_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( k3_goboard5(k1_jordan8(D,A),B,C) = k3_tarski(a_4_5_jordan1d(A,B,C,D)) & ! [E] : ( v7_ordinal1(E) => ( k3_goboard5(k1_jordan8(D,A),B,C) = k3_tarski(a_5_0_jordan1d(A,B,C,D,E)) => k3_goboard5(k1_jordan8(D,A),B,C) = k3_tarski(a_5_1_jordan1d(A,B,C,D,E)) ) ) ) => ! [E] : ( v7_ordinal1(E) => k3_goboard5(k1_jordan8(D,A),B,C) = k3_tarski(a_5_0_jordan1d(A,B,C,D,E)) ) ) ) )).
fof(s2_nat_1__e9_19__tops_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v7_ordinal1(C) ) => ( ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( D = k7_relat_1(B,k2_finseq_1(k5_numbers)) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(1,C) ) => v3_pre_topc(k6_setfam_1(u1_struct_0(A),D),A) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( F = k7_relat_1(B,k2_finseq_1(E)) & r1_xxreal_0(E,C) & r1_xxreal_0(1,C) ) => v3_pre_topc(k6_setfam_1(u1_struct_0(A),F),A) ) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( G = k7_relat_1(B,k2_finseq_1(k1_nat_1(E,1))) & r1_xxreal_0(k1_nat_1(E,1),C) & r1_xxreal_0(1,C) ) => v3_pre_topc(k6_setfam_1(u1_struct_0(A),G),A) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( H = k7_relat_1(B,k2_finseq_1(E)) & r1_xxreal_0(E,C) & r1_xxreal_0(1,C) ) => v3_pre_topc(k6_setfam_1(u1_struct_0(A),H),A) ) ) ) ) ) )).
fof(s2_nat_1__e9_1__fin_topo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m2_finseq_1(B,k9_setfam_1(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ( ( r1_xxreal_0(k2_xcmplx_0(C,k5_numbers),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,C),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,k5_numbers))) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k2_xcmplx_0(C,E),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,C),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,E))) ) => ( r1_xxreal_0(k2_xcmplx_0(C,k1_nat_1(E,1)),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,C),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,k1_nat_1(E,1)))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(C,E),D) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,C),k7_partfun1(k9_setfam_1(A),B,k2_xcmplx_0(C,E))) ) ) ) ) )).
fof(s2_nat_1__e9_20_1_2__pre_ff,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k4_ordinal1)))) ) => ( ( k3_finseq_1(k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,k5_numbers)) = k1_nat_1(k5_numbers,1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(B,k5_numbers) => k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,k5_numbers),k1_nat_1(B,1)) = k2_pre_ff(k1_nat_1(B,1)) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( k3_finseq_1(k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,C)) = k1_nat_1(C,1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,C) => k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,C),k1_nat_1(D,1)) = k2_pre_ff(k1_nat_1(D,1)) ) ) ) => ( k3_finseq_1(k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,k1_nat_1(C,1))) = k1_nat_1(k1_nat_1(C,1),1) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k1_nat_1(C,1)) => k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,k1_nat_1(C,1)),k1_nat_1(E,1)) = k2_pre_ff(k1_nat_1(E,1)) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k3_finseq_1(k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,C)) = k1_nat_1(C,1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,C) => k7_partfun1(k4_ordinal1,k8_finseq_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),A,C),k1_nat_1(F,1)) = k2_pre_ff(k1_nat_1(F,1)) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_20__prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k1_newton(k2_xcmplx_0(1,A),k5_numbers),k2_xcmplx_0(1,k3_xcmplx_0(k1_newton(3,k5_numbers),A))) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k1_newton(k2_xcmplx_0(1,A),B),k2_xcmplx_0(1,k3_xcmplx_0(k1_newton(3,B),A))) => r1_xxreal_0(k1_newton(k2_xcmplx_0(1,A),k1_nat_1(B,1)),k2_xcmplx_0(1,k3_xcmplx_0(k1_newton(3,k1_nat_1(B,1)),A))) ) ) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k1_newton(k2_xcmplx_0(1,A),B),k2_xcmplx_0(1,k3_xcmplx_0(k1_newton(3,B),A))) ) ) ) )).
fof(s2_nat_1__e9_21__amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) & v7_ordinal1(C) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & ~ v2_compos_1(D,B) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v1_finset_1(E) & v4_extpro_1(E,A,B,D) & v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) & v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(B)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),k5_numbers),k9_memstr_0(A,B,k5_extpro_1(A,B,G,F,k5_numbers),C)) & ! [H] : ( v7_ordinal1(H) => ( r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),H),k9_memstr_0(A,B,k5_extpro_1(A,B,G,F,H),C)) => r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),k1_nat_1(H,1)),k9_memstr_0(A,B,k5_extpro_1(A,B,G,F,k1_nat_1(H,1)),C)) ) ) ) => ! [H] : ( v7_ordinal1(H) => r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),H),k9_memstr_0(A,B,k5_extpro_1(A,B,G,F,H),C)) ) ) ) )).
fof(s2_nat_1__e9_21__nat_4,axiom,( ( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k12_nat_3(B))) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v1_int_2(C) => r1_xxreal_0(k11_nat_3(A,C),k11_nat_3(B,C)) ) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => B != k3_xcmplx_0(A,C) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ! [F] : ( ( v7_ordinal1(F) & ~ v8_ordinal1(F) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k12_nat_3(F))) = D & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( v1_int_2(G) => r1_xxreal_0(k11_nat_3(E,G),k11_nat_3(F,G)) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => F != k3_xcmplx_0(E,G) ) ) ) ) => ! [H] : ( ( v7_ordinal1(H) & ~ v8_ordinal1(H) ) => ! [I] : ( ( v7_ordinal1(I) & ~ v8_ordinal1(I) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k12_nat_3(I))) = k1_nat_1(D,1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( v1_int_2(J) => r1_xxreal_0(k11_nat_3(H,J),k11_nat_3(I,J)) ) ) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => I != k3_xcmplx_0(H,J) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [K] : ( ( v7_ordinal1(K) & ~ v8_ordinal1(K) ) => ! [L] : ( ( v7_ordinal1(L) & ~ v8_ordinal1(L) ) => ~ ( k4_card_1(k22_pre_poly(k8_newton,k12_nat_3(L))) = D & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( v1_int_2(M) => r1_xxreal_0(k11_nat_3(K,M),k11_nat_3(L,M)) ) ) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => L != k3_xcmplx_0(K,M) ) ) ) ) ) )).
fof(s2_nat_1__e9_21__taylor_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k3_xcmplx_0(2,k5_numbers)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),k5_numbers)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),k5_numbers)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k3_xcmplx_0(2,k5_numbers)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),k5_numbers)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,k5_numbers),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(k5_numbers,1))) & ! [B] : ( v7_ordinal1(B) => ( ( k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k3_xcmplx_0(2,B)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,B),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k3_xcmplx_0(2,B)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,B),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1))) ) => ( k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k3_xcmplx_0(2,k1_nat_1(B,1))) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1))) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1))) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k3_xcmplx_0(2,k1_nat_1(B,1))) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1))) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(k1_nat_1(B,1),1))) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k3_xcmplx_0(2,B)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,B),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k3_xcmplx_0(2,B)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,B),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1))) ) ) ) ) )).
fof(s2_nat_1__e9_23_1_1_16_3_1_1_2__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m2_finseq_1(B,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,A))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( k5_numbers = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,k5_numbers),C) = k5_numbers ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(B)) => ( E = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,E),C) = k5_numbers ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(B)) => ( k1_nat_1(E,1) = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,k1_nat_1(E,1)),C) = k5_numbers ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k3_finseq_1(B)) => ( E = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,E),C) = k5_numbers ) ) ) ) ) )).
fof(s2_nat_1__e9_23_1_1_16_5_1_2__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m2_finseq_1(D,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(D)) => ( k5_numbers = k5_numbers | ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( F = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),E,k5_numbers) => r1_xxreal_0(k5_numbers,k1_binop_1(F,B,C)) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,k3_finseq_1(D)) => ( G = k5_numbers | ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( H = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),E,G) => r1_xxreal_0(k5_numbers,k1_binop_1(H,B,C)) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(D)) => ( k1_nat_1(G,1) = k5_numbers | ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( I = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),E,k1_nat_1(G,1)) => r1_xxreal_0(k5_numbers,k1_binop_1(I,B,C)) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k3_finseq_1(D)) => ( G = k5_numbers | ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( J = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),E,G) => r1_xxreal_0(k5_numbers,k1_binop_1(J,B,C)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_23_1_1_17_1_1_1_2__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k2_borsuk_1(A,A))) & m2_finseq_1(C,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(C)) => ( k5_numbers = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,k5_numbers),B) = k5_numbers ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k3_finseq_1(C)) => ( E = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,E),B) = k5_numbers ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(C)) => ( k1_nat_1(E,1) = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,k1_nat_1(E,1)),B) = k5_numbers ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k3_finseq_1(C)) => ( E = k5_numbers | k1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),D,E),B) = k5_numbers ) ) ) ) ) )).
fof(s2_nat_1__e9_23_1_1_17_2_1_1_2__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k2_borsuk_1(A,A))) & m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,A))) & m1_subset_1(D,u1_struct_0(k2_borsuk_1(A,A))) & m2_finseq_1(E,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(E)) => ( k5_numbers = k5_numbers | ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( G = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),F,k5_numbers) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,G,B),k3_real_1(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,G,C),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,G,D))) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(H,k3_finseq_1(E)) => ( H = k5_numbers | ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( I = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),F,H) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,I,B),k3_real_1(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,I,C),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,I,D))) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(E)) => ( k1_nat_1(H,1) = k5_numbers | ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( J = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),F,k1_nat_1(H,1)) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,J,B),k3_real_1(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,J,C),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,J,D))) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,k3_finseq_1(E)) => ( H = k5_numbers | ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( K = k8_nat_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),F,H) => r1_xxreal_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,K,B),k3_real_1(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,K,C),k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,K,D))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_25__extpro_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_setfam_1(B) & ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v3_extpro_1(C,B) & l1_extpro_1(C,B) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(C)) & v1_funct_1(D) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(C)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(B,C)) & v1_partfun1(E,u1_struct_0(C)) ) => ( ( k5_extpro_1(B,C,D,E,k2_xcmplx_0(A,k5_numbers)) = k5_extpro_1(B,C,D,E,A) & ! [F] : ( v7_ordinal1(F) => ( k5_extpro_1(B,C,D,E,k2_xcmplx_0(A,F)) = k5_extpro_1(B,C,D,E,A) => k5_extpro_1(B,C,D,E,k2_xcmplx_0(A,k1_nat_1(F,1))) = k5_extpro_1(B,C,D,E,A) ) ) ) => ! [F] : ( v7_ordinal1(F) => k5_extpro_1(B,C,D,E,k2_xcmplx_0(A,F)) = k5_extpro_1(B,C,D,E,A) ) ) ) )).
fof(s2_nat_1__e9_26_1_1_2_1_1_2__circuit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) & v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,E)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & v6_trees_3(G) ) => ( G = k1_funct_1(F,k5_numbers) => ! [H] : ( v1_finset_1(H) => ( H = k4_trees_4(k4_tarski(k4_msafree2(A,C),u1_struct_0(A)),G) => r1_xxreal_0(k4_card_1(H),k4_card_1(D)) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k1_relset_1(k4_ordinal1,E)) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) & v6_trees_3(J) ) => ( J = k1_funct_1(F,I) => ! [K] : ( v1_finset_1(K) => ( K = k4_trees_4(k4_tarski(k4_msafree2(A,C),u1_struct_0(A)),J) => r1_xxreal_0(k4_card_1(K),k4_card_1(D)) ) ) ) ) ) => ( r2_tarski(k1_nat_1(I,1),k1_relset_1(k4_ordinal1,E)) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) & v6_trees_3(L) ) => ( L = k1_funct_1(F,k1_nat_1(I,1)) => ! [M] : ( v1_finset_1(M) => ( M = k4_trees_4(k4_tarski(k4_msafree2(A,C),u1_struct_0(A)),L) => r1_xxreal_0(k4_card_1(M),k4_card_1(D)) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k1_relset_1(k4_ordinal1,E)) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) & v6_trees_3(N) ) => ( N = k1_funct_1(F,I) => ! [O] : ( v1_finset_1(O) => ( O = k4_trees_4(k4_tarski(k4_msafree2(A,C),u1_struct_0(A)),N) => r1_xxreal_0(k4_card_1(O),k4_card_1(D)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_26__amistd_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_setfam_1(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(C,u1_struct_0(k4_amistd_1(A))) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(D,u1_struct_0(k4_amistd_1(A))) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k4_amistd_1(A))) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k4_amistd_1(A))) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( k2_xcmplx_0(k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),E,C,k5_numbers)),B) = k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),F,D,k5_numbers)) & k8_compos_0(u1_compos_1(k4_amistd_1(A)),k3_extpro_1(A,k4_amistd_1(A),E,k5_extpro_1(A,k4_amistd_1(A),E,C,k5_numbers)),B) = k3_extpro_1(A,k4_amistd_1(A),F,k5_extpro_1(A,k4_amistd_1(A),F,D,k5_numbers)) & ! [G] : ( v7_ordinal1(G) => ( ( k2_xcmplx_0(k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),E,C,G)),B) = k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),F,D,G)) & k8_compos_0(u1_compos_1(k4_amistd_1(A)),k3_extpro_1(A,k4_amistd_1(A),E,k5_extpro_1(A,k4_amistd_1(A),E,C,G)),B) = k3_extpro_1(A,k4_amistd_1(A),F,k5_extpro_1(A,k4_amistd_1(A),F,D,G)) ) => ( k2_xcmplx_0(k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),E,C,k1_nat_1(G,1))),B) = k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),F,D,k1_nat_1(G,1))) & k8_compos_0(u1_compos_1(k4_amistd_1(A)),k3_extpro_1(A,k4_amistd_1(A),E,k5_extpro_1(A,k4_amistd_1(A),E,C,k1_nat_1(G,1))),B) = k3_extpro_1(A,k4_amistd_1(A),F,k5_extpro_1(A,k4_amistd_1(A),F,D,k1_nat_1(G,1))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( k2_xcmplx_0(k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),E,C,G)),B) = k5_memstr_0(A,k4_amistd_1(A),k5_extpro_1(A,k4_amistd_1(A),F,D,G)) & k8_compos_0(u1_compos_1(k4_amistd_1(A)),k3_extpro_1(A,k4_amistd_1(A),E,k5_extpro_1(A,k4_amistd_1(A),E,C,G)),B) = k3_extpro_1(A,k4_amistd_1(A),F,k5_extpro_1(A,k4_amistd_1(A),F,D,G)) ) ) ) ) )).
fof(s2_nat_1__e9_27__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & m1_rewrite1(B,A) & v7_ordinal1(C) ) => ( ( ( r2_tarski(k2_xcmplx_0(C,k5_numbers),k4_finseq_1(B)) => r1_rewrite1(A,k1_funct_1(B,C),k1_funct_1(B,k2_xcmplx_0(C,k5_numbers))) ) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(k2_xcmplx_0(C,D),k4_finseq_1(B)) => r1_rewrite1(A,k1_funct_1(B,C),k1_funct_1(B,k2_xcmplx_0(C,D))) ) => ( r2_tarski(k2_xcmplx_0(C,k1_nat_1(D,1)),k4_finseq_1(B)) => r1_rewrite1(A,k1_funct_1(B,C),k1_funct_1(B,k2_xcmplx_0(C,k1_nat_1(D,1)))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k2_xcmplx_0(C,D),k4_finseq_1(B)) => r1_rewrite1(A,k1_funct_1(B,C),k1_funct_1(B,k2_xcmplx_0(C,D))) ) ) ) ) )).
fof(s2_nat_1__e9_28__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & m1_subset_1(B,k4_ordinal1) ) => ( ( k1_binop_1(k2_dblseq_2(A),B,k5_numbers) = k8_nat_1(k1_numbers,k3_series_1(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k2_dblseq_2(A),B,C) = k8_nat_1(k1_numbers,k3_series_1(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),C) => k1_binop_1(k2_dblseq_2(A),B,k1_nat_1(C,1)) = k8_nat_1(k1_numbers,k3_series_1(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => k1_binop_1(k2_dblseq_2(A),B,C) = k8_nat_1(k1_numbers,k3_series_1(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),C) ) ) ) )).
fof(s2_nat_1__e9_31_2_1__pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) & ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) & m2_finseq_1(E,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(E)) => ! [F] : ( m1_pencil_2(F,A,B) => ( F = k1_funct_1(E,k5_numbers) => ! [G] : ( ( ~ v13_pencil_1(G) & v16_pencil_1(G,A) & m3_pboole(G,A,k12_pralg_1(A,B)) ) => ( F = k4_card_3(G) => r1_funct_2(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D)))),u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,G))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,G)))),k3_pencil_3(A,B,C,D),k3_pencil_3(A,B,C,G)) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k4_finseq_1(E)) => ! [I] : ( m1_pencil_2(I,A,B) => ( I = k1_funct_1(E,H) => ! [J] : ( ( ~ v13_pencil_1(J) & v16_pencil_1(J,A) & m3_pboole(J,A,k12_pralg_1(A,B)) ) => ( I = k4_card_3(J) => r1_funct_2(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D)))),u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,J))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,J)))),k3_pencil_3(A,B,C,D),k3_pencil_3(A,B,C,J)) ) ) ) ) ) => ( r2_tarski(k1_nat_1(H,1),k4_finseq_1(E)) => ! [K] : ( m1_pencil_2(K,A,B) => ( K = k1_funct_1(E,k1_nat_1(H,1)) => ! [L] : ( ( ~ v13_pencil_1(L) & v16_pencil_1(L,A) & m3_pboole(L,A,k12_pralg_1(A,B)) ) => ( K = k4_card_3(L) => r1_funct_2(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D)))),u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,L))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,L)))),k3_pencil_3(A,B,C,D),k3_pencil_3(A,B,C,L)) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(E)) => ! [M] : ( m1_pencil_2(M,A,B) => ( M = k1_funct_1(E,H) => ! [N] : ( ( ~ v13_pencil_1(N) & v16_pencil_1(N,A) & m3_pboole(N,A,k12_pralg_1(A,B)) ) => ( M = k4_card_3(N) => r1_funct_2(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,D))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,D)))),u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,N))),u1_struct_0(k2_pencil_1(A,B,k3_funct_2(A,A,k2_pencil_3(A,B,C),k3_pencil_1(A,N)))),k3_pencil_3(A,B,C,D),k3_pencil_3(A,B,C,N)) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_32__rewrite1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & m1_rewrite1(D,k2_xboole_0(A,k4_relat_1(B))) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(D)) => r1_rewrite1(A,C,k1_funct_1(D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(D)) => r1_rewrite1(A,C,k1_funct_1(D,E)) ) => ( r2_tarski(k1_nat_1(E,1),k4_finseq_1(D)) => r1_rewrite1(A,C,k1_funct_1(D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => r1_rewrite1(A,C,k1_funct_1(D,E)) ) ) ) ) )).
fof(s2_nat_1__e9_33__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(D,u1_struct_0(k15_euclid(2))) ) => ( ( ~ ( r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(D)) & r1_xxreal_0(A,E) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),C,k5_numbers))) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(B,F) & r1_xxreal_0(F,k3_finseq_1(C)) & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(D)) & r1_xxreal_0(A,G) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,G),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),C,F))) ) ) ) => ~ ( r1_xxreal_0(B,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(C)) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(D)) & r1_xxreal_0(A,H) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,H),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(F,1)))) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(B,F) & r1_xxreal_0(F,k3_finseq_1(C)) & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(D)) & r1_xxreal_0(A,I) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),D,I),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),C,F))) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_33__ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(A)) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(G,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) & m1_subset_1(H,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) ) => ( ( ! [I] : ( ( v1_funct_1(I) & v1_nfcont_3(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_nfcont_3(J,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( I = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(k5_numbers,1)),G) & J = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(k5_numbers,1)),H) ) => ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),I,K),k7_partfun1(u1_struct_0(A),J,K))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(K,B)),k1_nat_1(k5_numbers,1)),k2_newton(k1_nat_1(k5_numbers,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),G,H)))) ) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ! [M] : ( ( v1_funct_1(M) & v1_nfcont_3(M,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [N] : ( ( v1_funct_1(N) & v1_nfcont_3(N,A) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( M = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(L,1)),G) & N = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(L,1)),H) ) => ! [O] : ( v1_xreal_0(O) => ( r2_hidden(O,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),M,O),k7_partfun1(u1_struct_0(A),N,O))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(O,B)),k1_nat_1(L,1)),k2_newton(k1_nat_1(L,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),G,H)))) ) ) ) ) ) => ! [P] : ( ( v1_funct_1(P) & v1_nfcont_3(P,A) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_nfcont_3(Q,A) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( P = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(k1_nat_1(L,1),1)),G) & Q = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(k1_nat_1(L,1),1)),H) ) => ! [R] : ( v1_xreal_0(R) => ( r2_hidden(R,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),P,R),k7_partfun1(u1_struct_0(A),Q,R))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(R,B)),k1_nat_1(k1_nat_1(L,1),1)),k2_newton(k1_nat_1(k1_nat_1(L,1),1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),G,H)))) ) ) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ! [S] : ( ( v1_funct_1(S) & v1_nfcont_3(S,A) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [T] : ( ( v1_funct_1(T) & v1_nfcont_3(T,A) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( S = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(L,1)),G) & T = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(L,1)),H) ) => ! [U] : ( v1_xreal_0(U) => ( r2_hidden(U,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),S,U),k7_partfun1(u1_struct_0(A),T,U))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(U,B)),k1_nat_1(L,1)),k2_newton(k1_nat_1(L,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),G,H)))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_34__clopban3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k5_numbers)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k1_nat_1(D,1))),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,k1_nat_1(D,1))),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) ) ) ) )).
fof(s2_nat_1__e9_34__lopban_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k5_numbers)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k1_nat_1(D,1))),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,k1_nat_1(D,1))),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) ) ) ) )).
fof(s2_nat_1__e9_35__hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_valued_0(C) & v2_pre_poly(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A)))) ) => ( ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k12_polynom1(B,A))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k3_finseq_1(E),k5_numbers) & F = k4_rlvect_1(k12_polynom1(B,A),E) ) => k4_polynom1(B,A,F,C) = k4_rlvect_1(A,k4_finseqop(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),E,D)) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m2_finseq_1(H,u1_struct_0(k12_polynom1(B,A))) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k3_finseq_1(H),G) & I = k4_rlvect_1(k12_polynom1(B,A),H) ) => k4_polynom1(B,A,I,C) = k4_rlvect_1(A,k4_finseqop(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),H,D)) ) ) ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(k12_polynom1(B,A))) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(K,A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k3_finseq_1(J),k1_nat_1(G,1)) & K = k4_rlvect_1(k12_polynom1(B,A),J) ) => k4_polynom1(B,A,K,C) = k4_rlvect_1(A,k4_finseqop(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),J,D)) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [L] : ( m2_finseq_1(L,u1_struct_0(k12_polynom1(B,A))) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(M,A) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ( ( r1_xxreal_0(k3_finseq_1(L),G) & M = k4_rlvect_1(k12_polynom1(B,A),L) ) => k4_polynom1(B,A,M,C) = k4_rlvect_1(A,k4_finseqop(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),L,D)) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_38_1__bhsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,k5_numbers)))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,k5_numbers))))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,D)))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,D))))) => r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,k1_nat_1(D,1))))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,k1_nat_1(D,1)))))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,D)))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,D))))) ) ) ) )).
fof(s2_nat_1__e9_38_1__dblseq_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k5_numbers,k1_binop_1(k3_dblseq_2(A),k5_numbers,B)) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k1_binop_1(k3_dblseq_2(A),C,B)) => r1_xxreal_0(k5_numbers,k1_binop_1(k3_dblseq_2(A),k1_nat_1(C,1),B)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k5_numbers,k1_binop_1(k3_dblseq_2(A),C,B)) ) ) ) )).
fof(s2_nat_1__e9_38_2__bhsp_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,k5_numbers)),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C)))) => r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,k1_nat_1(D,1))),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,k1_nat_1(D,1))),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k2_bhsp_2(A,B)),C)))) ) ) ) )).
fof(s2_nat_1__e9_39_1__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),k2_xcmplx_0(B,k5_numbers),C)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),k2_xcmplx_0(B,D),C)) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),k2_xcmplx_0(B,k1_nat_1(D,1)),C)) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(k4_dblseq_2(A),B,C),k1_binop_1(k4_dblseq_2(A),k2_xcmplx_0(B,D),C)) ) ) ) )).
fof(s2_nat_1__e9_40_1__clvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),C),k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k5_numbers)))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,k5_numbers))))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),C),k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,D))))) => r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),C),k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k1_nat_1(D,1))))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,k1_nat_1(D,1)))))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),C),k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,D))))) ) ) ) )).
fof(s2_nat_1__e9_40_2__clvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => ( ( r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k5_numbers)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C)))) => r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,k1_nat_1(D,1))),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,k1_nat_1(D,1))),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C)))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),k2_xcmplx_0(C,D)),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),k2_xcmplx_0(C,D)),k8_nat_1(k1_numbers,k3_series_1(k2_clvect_2(A,B)),C)))) ) ) ) )).
fof(s2_nat_1__e9_40__scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) & v7_ordinal1(E) ) => ( ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmpds_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(G,u1_struct_0(k1_scmpds_2)) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmpds_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(G,k2_scmpds_2(k1_funct_1(A,C),D))),k5_numbers) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,F) => k1_funct_1(G,I) = k1_funct_1(A,I) ) ) & k1_funct_1(G,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_7(C,D,E,B),G,H) & r2_scmpds_6(k1_scmpds_7(C,D,E,B),G,H) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmpds_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(K,k2_scmpds_2(k1_funct_1(A,C),D))),J) & ! [M] : ( ( v1_ami_2(M) & m1_subset_1(M,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(M,F) => k1_funct_1(K,M) = k1_funct_1(A,M) ) ) & k1_funct_1(K,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_7(C,D,E,B),K,L) & r2_scmpds_6(k1_scmpds_7(C,D,E,B),K,L) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,k4_ordinal1) & v5_relat_1(O,u1_compos_1(k1_scmpds_2)) & v1_funct_1(O) & v1_partfun1(O,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(N,k2_scmpds_2(k1_funct_1(A,C),D))),k1_nat_1(J,1)) & ! [P] : ( ( v1_ami_2(P) & m1_subset_1(P,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(P,F) => k1_funct_1(N,P) = k1_funct_1(A,P) ) ) & k1_funct_1(N,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_7(C,D,E,B),N,O) & r2_scmpds_6(k1_scmpds_7(C,D,E,B),N,O) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_scmpds_2)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(Q,u1_struct_0(k1_scmpds_2)) ) => ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,k4_ordinal1) & v5_relat_1(R,u1_compos_1(k1_scmpds_2)) & v1_funct_1(R) & v1_partfun1(R,k4_ordinal1) ) => ( ( r1_xxreal_0(k4_xcmplx_0(k1_funct_1(Q,k2_scmpds_2(k1_funct_1(A,C),D))),J) & ! [S] : ( ( v1_ami_2(S) & m1_subset_1(S,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(S,F) => k1_funct_1(Q,S) = k1_funct_1(A,S) ) ) & k1_funct_1(Q,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k1_scmpds_7(C,D,E,B),Q,R) & r2_scmpds_6(k1_scmpds_7(C,D,E,B),Q,R) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_42__series_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(B,k5_numbers)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)))) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)))) => r1_xxreal_0(k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(B,k1_nat_1(C,1))),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)))) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(A),B))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),k2_xcmplx_0(B,C)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)))) ) ) ) )).
fof(s2_nat_1__e9_44_1_16__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m2_finseq_1(C,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B))))) & m2_finseq_1(D,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)))) & v7_ordinal1(E) & v7_ordinal1(F) ) => ( ( ( r1_xxreal_0(E,k5_numbers) => ( r1_xxreal_0(F,k5_numbers) | r2_tarski(k1_funct_1(D,E),k1_funct_1(C,k5_numbers)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(E,G) => ( r1_xxreal_0(F,G) | r2_tarski(k1_funct_1(D,E),k1_funct_1(C,G)) ) ) => ( r1_xxreal_0(E,k1_nat_1(G,1)) => ( r1_xxreal_0(F,k1_nat_1(G,1)) | r2_tarski(k1_funct_1(D,E),k1_funct_1(C,k1_nat_1(G,1))) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(E,G) => ( r1_xxreal_0(F,G) | r2_tarski(k1_funct_1(D,E),k1_funct_1(C,G)) ) ) ) ) ) )).
fof(s2_nat_1__e9_44_3_1__waybel35,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & v1_waybel35(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v3_waybel35(C,A,B) & m1_waybel35(C,A,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(k1_funct_1(D,k5_numbers),C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k1_funct_1(D,E),C) => r2_tarski(k1_funct_1(D,k1_nat_1(E,1)),C) ) ) ) => ! [E] : ( v7_ordinal1(E) => r2_tarski(k1_funct_1(D,E),C) ) ) ) )).
fof(s2_nat_1__e9_45_1_1__petri_df,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v4_petri_df(A) & l1_petri(A) & v1_finseq_6(B,k2_net_1(A)) & v1_jordan23(B) & v2_petri_df(B,A) & m2_finseq_1(B,k2_net_1(A)) & m2_finseq_1(C,u4_struct_0(A)) & m2_finseq_1(D,k4_petri_df(A)) ) => ( ( ( ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k3_finseq_1(C)) ) => k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,1)) = k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,k5_numbers)) ) & ! [E] : ( v7_ordinal1(E) => ( ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,1)) = k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,E)) ) => ( ( r1_xxreal_0(1,k1_nat_1(E,1)) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(C)) ) => k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,1)) = k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,k1_nat_1(E,1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,1)) = k5_petri_df(A,k2_petri_df(A,B),k7_partfun1(k4_petri_df(A),D,E)) ) ) ) ) )).
fof(s2_nat_1__e9_46_2_1__euclid_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ( ( ~ r1_xxreal_0(k3_finseq_1(k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),k5_numbers) => k1_funct_1(k4_euclid_7(A,k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),k1_nat_1(k5_numbers,1)) = k5_euclid(A) ) & ! [C] : ( v7_ordinal1(C) => ( ( ~ r1_xxreal_0(k3_finseq_1(k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),C) => k1_funct_1(k4_euclid_7(A,k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),k1_nat_1(C,1)) = k5_euclid(A) ) => ( ~ r1_xxreal_0(k3_finseq_1(k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),k1_nat_1(C,1)) => k1_funct_1(k4_euclid_7(A,k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),k1_nat_1(k1_nat_1(C,1),1)) = k5_euclid(A) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),C) => k1_funct_1(k4_euclid_7(A,k5_finseq_2(k1_euclid(A),B,k5_euclid(A))),k1_nat_1(C,1)) = k5_euclid(A) ) ) ) ) )).
fof(s2_nat_1__e9_46_3_1_1_1__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( r1_xxreal_0(1,k5_numbers) => ( r1_xxreal_0(B,k5_numbers) | ( k8_nat_1(u1_struct_0(A),E,k5_numbers) = k8_nat_1(u1_struct_0(A),D,k5_numbers) & k8_nat_1(u1_struct_0(A),C,k5_numbers) = k8_nat_1(u1_struct_0(A),E,k5_numbers) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) => ( r1_xxreal_0(B,F) | ( k8_nat_1(u1_struct_0(A),E,F) = k8_nat_1(u1_struct_0(A),D,F) & k8_nat_1(u1_struct_0(A),C,F) = k8_nat_1(u1_struct_0(A),E,F) ) ) ) => ( r1_xxreal_0(1,k1_nat_1(F,1)) => ( r1_xxreal_0(B,k1_nat_1(F,1)) | ( k8_nat_1(u1_struct_0(A),E,k1_nat_1(F,1)) = k8_nat_1(u1_struct_0(A),D,k1_nat_1(F,1)) & k8_nat_1(u1_struct_0(A),C,k1_nat_1(F,1)) = k8_nat_1(u1_struct_0(A),E,k1_nat_1(F,1)) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(B,F) | ( k8_nat_1(u1_struct_0(A),E,F) = k8_nat_1(u1_struct_0(A),D,F) & k8_nat_1(u1_struct_0(A),C,F) = k8_nat_1(u1_struct_0(A),E,F) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_46__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) ) => ( ( ! [C] : ( ( v1_glib_003(C) & v4_glib_003(C,A) & m2_glib_000(C,A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers))),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers))) ) => ( r1_glib_004(A,C,B) & ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ( r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers)))) => k1_glib_004(A,B,D) = k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k5_numbers)),D) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( ( v1_glib_003(F) & v4_glib_003(F,A) & m2_glib_000(F,A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E))),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E))) ) => ( r1_glib_004(A,F,B) & ! [G] : ( m1_subset_1(G,k6_glib_000(A)) => ( r2_tarski(G,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E)))) => k1_glib_004(A,B,G) = k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E)),G) ) ) ) ) => ! [H] : ( ( v1_glib_003(H) & v4_glib_003(H,A) & m2_glib_000(H,A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(E,1)))),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(E,1)))) ) => ( r1_glib_004(A,H,B) & ! [I] : ( m1_subset_1(I,k6_glib_000(A)) => ( r2_tarski(I,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(E,1))))) => k1_glib_004(A,B,I) = k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),k1_nat_1(E,1))),I) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [J] : ( ( v1_glib_003(J) & v4_glib_003(J,A) & m2_glib_000(J,A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E))),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E))) ) => ( r1_glib_004(A,J,B) & ! [K] : ( m1_subset_1(K,k6_glib_000(A)) => ( r2_tarski(K,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E)))) => k1_glib_004(A,B,K) = k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),E)),K) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_48__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) & m1_subset_1(C,u2_turing_1(A)) & m2_funct_2(D,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),k5_numbers) = k3_xtuple_0(C,k2_xcmplx_0(F,k5_numbers),D) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(G,E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),G) = k3_xtuple_0(C,k2_xcmplx_0(F,G),D) ) => ( r1_xxreal_0(k1_nat_1(G,1),E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),k1_nat_1(G,1)) = k3_xtuple_0(C,k2_xcmplx_0(F,k1_nat_1(G,1)),D) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,E) => k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),G) = k3_xtuple_0(C,k2_xcmplx_0(F,G),D) ) ) ) ) )).
fof(s2_nat_1__e9_4_1__fintopo5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(B)) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r2_tarski(F,k10_fintopo3(B,k5_numbers,E)) => r2_tarski(k1_funct_1(k2_funct_1(C),F),k10_fintopo3(A,k5_numbers,D)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( r2_tarski(H,k10_fintopo3(B,G,E)) => r2_tarski(k1_funct_1(k2_funct_1(C),H),k10_fintopo3(A,G,D)) ) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ( r2_tarski(I,k10_fintopo3(B,k1_nat_1(G,1),E)) => r2_tarski(k1_funct_1(k2_funct_1(C),I),k10_fintopo3(A,k1_nat_1(G,1),D)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ( r2_tarski(J,k10_fintopo3(B,G,E)) => r2_tarski(k1_funct_1(k2_funct_1(C),J),k10_fintopo3(A,G,D)) ) ) ) ) ) )).
fof(s2_nat_1__e9_50_1__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => ( ( r1_xxreal_0(k5_numbers,k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),k5_numbers),B,C)) & m1_subset_1(k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),k5_numbers),B,C),k4_ordinal1) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),D),B,C)) & m1_subset_1(k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),D),B,C),k4_ordinal1) ) => ( r1_xxreal_0(k1_nat_1(D,1),k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),k1_nat_1(D,1)),B,C)) & m1_subset_1(k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),k1_nat_1(D,1)),B,C),k4_ordinal1) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),D),B,C)) & m1_subset_1(k1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),D),B,C),k4_ordinal1) ) ) ) ) )).
fof(s2_nat_1__e9_52_1__afinsq_2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v6_membered(A) & v1_finset_1(B) & v6_membered(B) ) => ( ( ( r2_tarski(k5_numbers,k1_relset_1(k4_ordinal1,k4_afinsq_2(A))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),k5_numbers) = k1_recdef_1(k4_afinsq_2(A),k5_numbers) ) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k1_relset_1(k4_ordinal1,k4_afinsq_2(A))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),C) = k1_recdef_1(k4_afinsq_2(A),C) ) => ( r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,k4_afinsq_2(A))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),k1_nat_1(C,1)) = k1_recdef_1(k4_afinsq_2(A),k1_nat_1(C,1)) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k4_afinsq_2(A))) => k1_recdef_1(k4_afinsq_2(k2_xboole_0(A,B)),C) = k1_recdef_1(k4_afinsq_2(A),C) ) ) ) ) )).
fof(s2_nat_1__e9_54__scmpds_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v2_compos_1(B,k1_scmpds_2) & v3_scmpds_4(B) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) & v1_int_1(D) & v7_ordinal1(E) ) => ( ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmpds_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(G,u1_struct_0(k1_scmpds_2)) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmpds_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(G,k2_scmpds_2(k1_funct_1(A,C),D)),k5_numbers) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,F) => k1_funct_1(G,I) = k1_funct_1(A,I) ) ) & k1_funct_1(G,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_7(C,D,E,B),G,H) & r2_scmpds_6(k2_scmpds_7(C,D,E,B),G,H) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmpds_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(K,k2_scmpds_2(k1_funct_1(A,C),D)),J) & ! [M] : ( ( v1_ami_2(M) & m1_subset_1(M,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(M,F) => k1_funct_1(K,M) = k1_funct_1(A,M) ) ) & k1_funct_1(K,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_7(C,D,E,B),K,L) & r2_scmpds_6(k2_scmpds_7(C,D,E,B),K,L) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) ) => ! [O] : ( ( v1_relat_1(O) & v4_relat_1(O,k4_ordinal1) & v5_relat_1(O,u1_compos_1(k1_scmpds_2)) & v1_funct_1(O) & v1_partfun1(O,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(N,k2_scmpds_2(k1_funct_1(A,C),D)),k1_nat_1(J,1)) & ! [P] : ( ( v1_ami_2(P) & m1_subset_1(P,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(P,F) => k1_funct_1(N,P) = k1_funct_1(A,P) ) ) & k1_funct_1(N,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_7(C,D,E,B),N,O) & r2_scmpds_6(k2_scmpds_7(C,D,E,B),N,O) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [Q] : ( ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_scmpds_2)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(Q,u1_struct_0(k1_scmpds_2)) ) => ! [R] : ( ( v1_relat_1(R) & v4_relat_1(R,k4_ordinal1) & v5_relat_1(R,u1_compos_1(k1_scmpds_2)) & v1_funct_1(R) & v1_partfun1(R,k4_ordinal1) ) => ( ( r1_xxreal_0(k1_funct_1(Q,k2_scmpds_2(k1_funct_1(A,C),D)),J) & ! [S] : ( ( v1_ami_2(S) & m1_subset_1(S,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(S,F) => k1_funct_1(Q,S) = k1_funct_1(A,S) ) ) & k1_funct_1(Q,C) = k1_funct_1(A,C) ) => ( r1_scmpds_6(k2_scmpds_7(C,D,E,B),Q,R) & r2_scmpds_6(k2_scmpds_7(C,D,E,B),Q,R) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_64__series_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_xxreal_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(A),k5_numbers)),k2_xcmplx_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(B),k5_numbers)),k3_square_1(k8_nat_1(k1_numbers,k3_series_1(C),k5_numbers)))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(A),D)),k2_xcmplx_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(B),D)),k3_square_1(k8_nat_1(k1_numbers,k3_series_1(C),D)))) => r1_xxreal_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(D,1))),k2_xcmplx_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(D,1))),k3_square_1(k8_nat_1(k1_numbers,k3_series_1(C),k1_nat_1(D,1))))) ) ) ) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(A),D)),k2_xcmplx_0(k3_square_1(k8_nat_1(k1_numbers,k3_series_1(B),D)),k3_square_1(k8_nat_1(k1_numbers,k3_series_1(C),D)))) ) ) ) )).
fof(s2_nat_1__e9_65_1_1_2__uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k8_nat_1(u1_struct_0(A),C,k5_numbers) = k8_nat_1(u1_struct_0(A),k12_polynom3(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),k5_uproots(A,B,C)),k5_numbers) & ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(u1_struct_0(A),C,D) = k8_nat_1(u1_struct_0(A),k12_polynom3(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),k5_uproots(A,B,C)),D) => k8_nat_1(u1_struct_0(A),C,k1_nat_1(D,1)) = k8_nat_1(u1_struct_0(A),k12_polynom3(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),k5_uproots(A,B,C)),k1_nat_1(D,1)) ) ) ) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),C,D) = k8_nat_1(u1_struct_0(A),k12_polynom3(A,k5_polynom5(A,k4_algstr_0(A,B),k5_struct_0(A)),k5_uproots(A,B,C)),D) ) ) ) )).
fof(s2_nat_1__e9_69__monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(k17_monoid_1(A))) => ~ ( ! [C] : ( v1_finset_1(C) => ( C = k8_relat_1(B,k6_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers))) => k4_card_1(C) = k5_numbers ) ) & ! [C] : ( m2_finseq_1(C,A) => B != k18_monoid_1(A,C) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k17_monoid_1(A))) => ~ ( ! [F] : ( v1_finset_1(F) => ( F = k8_relat_1(E,k6_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers))) => k4_card_1(F) = D ) ) & ! [F] : ( m2_finseq_1(F,A) => E != k18_monoid_1(A,F) ) ) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k17_monoid_1(A))) => ~ ( ! [H] : ( v1_finset_1(H) => ( H = k8_relat_1(G,k6_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers))) => k4_card_1(H) = k1_nat_1(D,1) ) ) & ! [H] : ( m2_finseq_1(H,A) => G != k18_monoid_1(A,H) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [I] : ( m1_subset_1(I,u1_struct_0(k17_monoid_1(A))) => ~ ( ! [J] : ( v1_finset_1(J) => ( J = k8_relat_1(I,k6_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers))) => k4_card_1(J) = D ) ) & ! [J] : ( m2_finseq_1(J,A) => I != k18_monoid_1(A,J) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_70__matrtop3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_1(B,u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A))))) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,C) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k5_numbers,B)) => v4_matrix_6(C,A,k2_vectsp_1) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(D,k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,E) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)) => v4_matrix_6(E,A,k2_vectsp_1) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,F) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),k1_nat_1(D,1),B)) => v4_matrix_6(F,A,k2_vectsp_1) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(B)) => ( v1_funct_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B))) & v1_funct_2(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & v3_matrtop3(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),A) & m1_subset_1(k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k3_matrtop1(A,A,G) = k3_group_4(k15_monoid_0(u1_struct_0(k15_euclid(A))),k17_finseq_1(u1_struct_0(k15_monoid_0(u1_struct_0(k15_euclid(A)))),D,B)) => v4_matrix_6(G,A,k2_vectsp_1) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_71__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v3_msualg_6(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),D)) & m1_rewrite1(G,k4_subset_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D),k3_relset_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D)))) & v1_relat_1(H) & v1_funct_1(H) ) => ( ( ( r2_tarski(k5_numbers,k4_finseq_1(G)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E),k1_funct_1(H,F),k1_funct_1(H,k1_funct_1(G,k5_numbers))) ) & ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(I,k4_finseq_1(G)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E),k1_funct_1(H,F),k1_funct_1(H,k1_funct_1(G,I))) ) => ( r2_tarski(k1_nat_1(I,1),k4_finseq_1(G)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E),k1_funct_1(H,F),k1_funct_1(H,k1_funct_1(G,k1_nat_1(I,1)))) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(G)) => r2_rewrite1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E),k1_funct_1(H,F),k1_funct_1(H,k1_funct_1(G,I))) ) ) ) ) )).
fof(s2_nat_1__e9_75__ordeq_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A))))) & m1_subset_1(G,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)))) & m1_subset_1(H,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)))) ) => ( ( ! [I] : ( ( v1_funct_1(I) & v1_nfcont_3(I,k4_real_ns1(A)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_nfcont_3(J,k4_real_ns1(A)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ( ( I = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(k5_numbers,1)),G) & J = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(k5_numbers,1)),H) ) => ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),I,K),k7_partfun1(u1_struct_0(k4_real_ns1(A)),J,K))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(K,B)),k2_xcmplx_0(k5_numbers,1)),k2_newton(k2_xcmplx_0(k5_numbers,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),G,H)))) ) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ! [M] : ( ( v1_funct_1(M) & v1_nfcont_3(M,k4_real_ns1(A)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ! [N] : ( ( v1_funct_1(N) & v1_nfcont_3(N,k4_real_ns1(A)) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ( ( M = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(L,1)),G) & N = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(L,1)),H) ) => ! [O] : ( v1_xreal_0(O) => ( r2_hidden(O,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),M,O),k7_partfun1(u1_struct_0(k4_real_ns1(A)),N,O))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(O,B)),k2_xcmplx_0(L,1)),k2_newton(k2_xcmplx_0(L,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),G,H)))) ) ) ) ) ) => ! [P] : ( ( v1_funct_1(P) & v1_nfcont_3(P,k4_real_ns1(A)) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_nfcont_3(Q,k4_real_ns1(A)) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ( ( P = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(k1_nat_1(L,1),1)),G) & Q = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(k1_nat_1(L,1),1)),H) ) => ! [R] : ( v1_xreal_0(R) => ( r2_hidden(R,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),P,R),k7_partfun1(u1_struct_0(k4_real_ns1(A)),Q,R))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(R,B)),k2_xcmplx_0(k1_nat_1(L,1),1)),k2_newton(k2_xcmplx_0(k1_nat_1(L,1),1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),G,H)))) ) ) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ! [S] : ( ( v1_funct_1(S) & v1_nfcont_3(S,k4_real_ns1(A)) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ! [T] : ( ( v1_funct_1(T) & v1_nfcont_3(T,k4_real_ns1(A)) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ( ( S = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(L,1)),G) & T = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A))),k6_ordeq_01(A,E,F,B,C),k2_xcmplx_0(L,1)),H) ) => ! [U] : ( v1_xreal_0(U) => ( r2_hidden(U,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),S,U),k7_partfun1(u1_struct_0(k4_real_ns1(A)),T,U))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(U,B)),k2_xcmplx_0(L,1)),k2_newton(k2_xcmplx_0(L,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),k4_real_ns1(A)),G,H)))) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_75__turing_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) & m1_subset_1(C,u2_turing_1(A)) & m2_funct_2(D,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) & m1_subset_1(E,k4_ordinal1) & m1_subset_1(F,k4_ordinal1) ) => ( ( ~ ( r1_xxreal_0(k5_numbers,E) & ! [G] : ( m2_funct_2(G,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ~ ( k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),k5_numbers) = k3_xtuple_0(C,k2_xcmplx_0(F,k5_numbers),G) & ! [H] : ( v1_int_1(H) => ( r1_xxreal_0(F,H) => ( r1_xxreal_0(k2_xcmplx_0(F,k5_numbers),H) | k1_funct_1(G,H) = k5_numbers ) ) ) & ! [H] : ( v1_int_1(H) => ( ~ ( r1_xxreal_0(F,H) & ~ r1_xxreal_0(k2_xcmplx_0(F,k5_numbers),H) ) => k1_funct_1(G,H) = k1_funct_1(D,H) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ~ ( r1_xxreal_0(I,E) & ! [J] : ( m2_funct_2(J,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ~ ( k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),I) = k3_xtuple_0(C,k2_xcmplx_0(F,I),J) & ! [K] : ( v1_int_1(K) => ( r1_xxreal_0(F,K) => ( r1_xxreal_0(k2_xcmplx_0(F,I),K) | k1_funct_1(J,K) = k5_numbers ) ) ) & ! [K] : ( v1_int_1(K) => ( ~ ( r1_xxreal_0(F,K) & ~ r1_xxreal_0(k2_xcmplx_0(F,I),K) ) => k1_funct_1(J,K) = k1_funct_1(D,K) ) ) ) ) ) => ~ ( r1_xxreal_0(k1_nat_1(I,1),E) & ! [L] : ( m2_funct_2(L,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ~ ( k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),k1_nat_1(I,1)) = k3_xtuple_0(C,k2_xcmplx_0(F,k1_nat_1(I,1)),L) & ! [M] : ( v1_int_1(M) => ( r1_xxreal_0(F,M) => ( r1_xxreal_0(k2_xcmplx_0(F,k1_nat_1(I,1)),M) | k1_funct_1(L,M) = k5_numbers ) ) ) & ! [M] : ( v1_int_1(M) => ( ~ ( r1_xxreal_0(F,M) & ~ r1_xxreal_0(k2_xcmplx_0(F,k1_nat_1(I,1)),M) ) => k1_funct_1(L,M) = k1_funct_1(D,M) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(I,E) & ! [N] : ( m2_funct_2(N,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ~ ( k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),I) = k3_xtuple_0(C,k2_xcmplx_0(F,I),N) & ! [O] : ( v1_int_1(O) => ( r1_xxreal_0(F,O) => ( r1_xxreal_0(k2_xcmplx_0(F,I),O) | k1_funct_1(N,O) = k5_numbers ) ) ) & ! [O] : ( v1_int_1(O) => ( ~ ( r1_xxreal_0(F,O) & ~ r1_xxreal_0(k2_xcmplx_0(F,I),O) ) => k1_funct_1(N,O) = k1_funct_1(D,O) ) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_79__sf_mastr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_afinsq_1(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) & v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( ( ~ r1_xxreal_0(B,k5_numbers) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k5_numbers)),k1_relset_1(k4_ordinal1,A)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,k5_numbers)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k5_numbers)) & ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(G,k3_sf_mastr(A)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,k5_numbers),G) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k5_numbers),G) ) ) & ! [G] : ( m1_scmfsa_2(G) => ( r2_tarski(G,k6_sf_mastr(A)) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,k5_numbers),G),k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k5_numbers),G)) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( ~ r1_xxreal_0(B,H) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),k1_relset_1(k4_ordinal1,A)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,H)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(I,k3_sf_mastr(A)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,H),I) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H),I) ) ) & ! [I] : ( m1_scmfsa_2(I) => ( r2_tarski(I,k6_sf_mastr(A)) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,H),I),k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H),I)) ) ) ) ) => ( ~ r1_xxreal_0(B,k1_nat_1(H,1)) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k1_nat_1(H,1))),k1_relset_1(k4_ordinal1,A)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,k1_nat_1(H,1))) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k1_nat_1(H,1))) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(J,k3_sf_mastr(A)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,k1_nat_1(H,1)),J) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k1_nat_1(H,1)),J) ) ) & ! [J] : ( m1_scmfsa_2(J) => ( r2_tarski(J,k6_sf_mastr(A)) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,k1_nat_1(H,1)),J),k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,k1_nat_1(H,1)),J)) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( ~ r1_xxreal_0(B,H) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),k1_relset_1(k4_ordinal1,A)) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,H)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)) & ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(K,k3_sf_mastr(A)) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,H),K) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H),K) ) ) & ! [K] : ( m1_scmfsa_2(K) => ( r2_tarski(K,k6_sf_mastr(A)) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,H),K),k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H),K)) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_81_3__ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m1_ideal_1(C,A,B) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) => r2_tarski(k4_rlvect_1(A,C),k7_ideal_1(A,B)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m1_ideal_1(E,A,B) => ( r1_xxreal_0(k3_finseq_1(E),D) => r2_tarski(k4_rlvect_1(A,E),k7_ideal_1(A,B)) ) ) => ! [F] : ( m1_ideal_1(F,A,B) => ( r1_xxreal_0(k3_finseq_1(F),k1_nat_1(D,1)) => r2_tarski(k4_rlvect_1(A,F),k7_ideal_1(A,B)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m1_ideal_1(G,A,B) => ( r1_xxreal_0(k3_finseq_1(G),D) => r2_tarski(k4_rlvect_1(A,G),k7_ideal_1(A,B)) ) ) ) ) ) )).
fof(s2_nat_1__e9_82_3__ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m2_ideal_1(C,A,B) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) => r2_tarski(k4_rlvect_1(A,C),k8_ideal_1(A,B)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_ideal_1(E,A,B) => ( r1_xxreal_0(k3_finseq_1(E),D) => r2_tarski(k4_rlvect_1(A,E),k8_ideal_1(A,B)) ) ) => ! [F] : ( m2_ideal_1(F,A,B) => ( r1_xxreal_0(k3_finseq_1(F),k1_nat_1(D,1)) => r2_tarski(k4_rlvect_1(A,F),k8_ideal_1(A,B)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m2_ideal_1(G,A,B) => ( r1_xxreal_0(k3_finseq_1(G),D) => r2_tarski(k4_rlvect_1(A,G),k8_ideal_1(A,B)) ) ) ) ) ) )).
fof(s2_nat_1__e9_83_3__ideal_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m3_ideal_1(C,A,B) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) => r2_tarski(k4_rlvect_1(A,C),k9_ideal_1(A,B)) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m3_ideal_1(E,A,B) => ( r1_xxreal_0(k3_finseq_1(E),D) => r2_tarski(k4_rlvect_1(A,E),k9_ideal_1(A,B)) ) ) => ! [F] : ( m3_ideal_1(F,A,B) => ( r1_xxreal_0(k3_finseq_1(F),k1_nat_1(D,1)) => r2_tarski(k4_rlvect_1(A,F),k9_ideal_1(A,B)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [G] : ( m3_ideal_1(G,A,B) => ( r1_xxreal_0(k3_finseq_1(G),D) => r2_tarski(k4_rlvect_1(A,G),k9_ideal_1(A,B)) ) ) ) ) ) )).
fof(s2_nat_1__e9_88__comput_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k4_ordinal1) & m2_finseq_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( ~ ( r2_tarski(C,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,k5_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => C != k2_funct_7(k4_ordinal1,B,A,E) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r2_tarski(C,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,F))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => C != k2_funct_7(k4_ordinal1,B,A,G) ) ) => ~ ( r2_tarski(C,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,k1_nat_1(F,1)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => C != k2_funct_7(k4_ordinal1,B,A,H) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(C,k1_relset_1(k3_finseq_2(k4_ordinal1),k8_nat_1(k2_comput_1(k4_ordinal1),D,F))) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => C != k2_funct_7(k4_ordinal1,B,A,I) ) ) ) ) ) )).
fof(s2_nat_1__e9_89__comput_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( k8_nat_1(k2_comput_1(k4_ordinal1),A,k5_numbers) = k1_xboole_0 & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k2_comput_1(k4_ordinal1),A,B) = k1_xboole_0 => k8_nat_1(k2_comput_1(k4_ordinal1),A,k1_nat_1(B,1)) = k1_xboole_0 ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_comput_1(k4_ordinal1),A,B) = k1_xboole_0 ) ) ) )).
fof(s2_nat_1__e9_8_1_1_2__scmfsa7b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k5_numbers)) = k2_xcmplx_0(A,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,D) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,E)) = k2_xcmplx_0(A,E) ) => ( r1_xxreal_0(k1_nat_1(E,1),D) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k1_nat_1(E,1))) = k2_xcmplx_0(A,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,E)) = k2_xcmplx_0(A,E) ) ) ) ) )).
fof(s2_nat_1__e9_8_1_2_2__scmfsa7b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k1_nat_1(k1_nat_1(D,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k5_numbers)) = k2_xcmplx_0(A,k5_numbers) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k1_nat_1(k1_nat_1(D,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,E)) = k2_xcmplx_0(A,E) ) => ( r1_xxreal_0(k1_nat_1(E,1),k1_nat_1(k1_nat_1(D,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,k1_nat_1(E,1))) = k2_xcmplx_0(A,k1_nat_1(E,1)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_nat_1(k1_nat_1(D,1),1)) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,C,B,E)) = k2_xcmplx_0(A,E) ) ) ) ) )).
fof(s2_nat_1__e9_8_1__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),k1_nat_1(B,1),k1_nat_1(B,1)) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( ~ ( r1_xxreal_0(1,k5_numbers) & r1_xxreal_0(k5_numbers,k1_nat_1(B,1)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k1_algseq_1(A,D) = k1_nat_1(k1_nat_1(B,1),1) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_polynom4(A,D,E) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k5_numbers,k8_laplace(k1_nat_1(B,1),1,A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,k3_matrix_1(A,k1_nat_1(B,1)),E))))) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(B,1)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k1_algseq_1(A,G) = k1_nat_1(k1_nat_1(B,1),1) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_polynom4(A,G,H) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),F,k8_laplace(k1_nat_1(B,1),1,A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,k3_matrix_1(A,k1_nat_1(B,1)),H))))) ) ) ) ) => ~ ( r1_xxreal_0(1,k1_nat_1(F,1)) & r1_xxreal_0(k1_nat_1(F,1),k1_nat_1(B,1)) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k1_algseq_1(A,I) = k1_nat_1(k1_nat_1(B,1),1) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => k2_polynom4(A,I,J) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k1_nat_1(F,1),k8_laplace(k1_nat_1(B,1),1,A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,k3_matrix_1(A,k1_nat_1(B,1)),J))))) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(B,1)) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(K,A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k1_algseq_1(A,K) = k1_nat_1(k1_nat_1(B,1),1) & ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => k2_polynom4(A,K,L) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),F,k8_laplace(k1_nat_1(B,1),1,A,k5_matrlin2(k1_nat_1(B,1),k1_nat_1(B,1),A,C,k2_matrix13(k1_nat_1(B,1),k1_nat_1(B,1),A,k3_matrix_1(A,k1_nat_1(B,1)),L))))) ) ) ) ) ) ) ) )).
fof(s2_nat_1__e9_8__ckspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ~ v1_xboole_0(D) & m2_finseq_1(D,k4_ordinal1) & ~ v1_xboole_0(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k5_numbers),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),k5_numbers)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),F)) ) => ( r1_xxreal_0(k1_nat_1(F,1),k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),k1_nat_1(F,1)),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) => r2_relset_1(k1_euclid(A),k1_numbers,k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,k8_finseq_1(k4_ordinal1,E,D),C),F),k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,B,E,C),F)) ) ) ) ) )).
fof(s2_nat_1__e9_90_5__polynom5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k2_numbers) & m2_finseq_1(D,u1_struct_0(k1_complfld)) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_numbers,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( E = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k5_numbers,B)) => k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),k5_numbers,D)) = k3_funct_2(k2_numbers,k2_numbers,E,C) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_numbers,k2_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( G = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),F,B)) => k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),F,D)) = k3_funct_2(k2_numbers,k2_numbers,G,C) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k2_numbers,k2_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( H = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),k1_nat_1(F,1),B)) => k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),k1_nat_1(F,1),D)) = k3_funct_2(k2_numbers,k2_numbers,H,C) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_numbers,k2_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( I = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),F,B)) => k4_rlvect_1(k1_complfld,k17_finseq_1(u1_struct_0(k1_complfld),F,D)) = k3_funct_2(k2_numbers,k2_numbers,I,C) ) ) ) ) ) )).
fof(s2_nat_1__e9_92__comput_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_comput_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_comput_1(k4_ordinal1)))) ) => ( ( k8_nat_1(k2_comput_1(k4_ordinal1),A,k5_numbers) = k1_xboole_0 & ! [B] : ( v7_ordinal1(B) => ( k8_nat_1(k2_comput_1(k4_ordinal1),A,B) = k1_xboole_0 => k8_nat_1(k2_comput_1(k4_ordinal1),A,k1_nat_1(B,1)) = k1_xboole_0 ) ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_comput_1(k4_ordinal1),A,B) = k1_xboole_0 ) ) ) )).
fof(s2_nat_1__e9_9__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & m1_subset_1(C,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) & v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B)))) ) => ( ( ! [E] : ( m1_subset_1(E,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(E) = k5_numbers & r1_tarski(E,C) ) => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,E) = k1_group_1(B) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( m1_subset_1(G,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(G) = F & r1_tarski(G,C) ) => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,G) = k1_group_1(B) ) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(H) = k1_nat_1(F,1) & r1_tarski(H,C) ) => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,H) = k1_group_1(B) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [I] : ( m1_subset_1(I,k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2))))) => ( ( k4_card_1(I) = F & r1_tarski(I,C) ) => k3_funct_2(k5_finsub_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,2)))),u1_struct_0(B),D,I) = k1_group_1(B) ) ) ) ) ) )).
fof(s2_nat_2__e3_66__numpoly1,axiom,( ( ~ r1_xxreal_0(k1_numpoly1(2),2) & ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ( ~ r1_xxreal_0(k1_numpoly1(A),A) => ~ r1_xxreal_0(k1_numpoly1(k1_nat_1(A,1)),k1_nat_1(A,1)) ) ) ) => ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ~ r1_xxreal_0(k1_numpoly1(A),A) ) )).
fof(s2_nat_2__e5_5__catalan1,axiom,( ( ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,2),2),k3_xcmplx_0(2,2)),k1_nat_1(2,1)),1) & ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ( ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,A),A),k3_xcmplx_0(2,A)),k1_nat_1(A,1)),1) => ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k1_nat_1(A,1)),k1_nat_1(A,1)),k3_xcmplx_0(2,k1_nat_1(A,1))),k1_nat_1(k1_nat_1(A,1),1)),1) ) ) ) => ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,A),A),k3_xcmplx_0(2,A)),k1_nat_1(A,1)),1) ) )).
fof(s2_nat_2__e6_20_1__fsm_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,A) => ~ ( r1_xxreal_0(2,k1_nat_1(k3_finseq_1(C),1)) & k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),C),2) = u2_fsm_1(A,B) ) ) & ! [D] : ( ( ~ v1_zfmisc_1(D) & v7_ordinal1(D) ) => ( ! [E] : ( m2_finseq_1(E,A) => ~ ( r1_xxreal_0(D,k1_nat_1(k3_finseq_1(E),1)) & k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),E),D) = u2_fsm_1(A,B) ) ) => ! [F] : ( m2_finseq_1(F,A) => ~ ( r1_xxreal_0(k1_nat_1(D,1),k1_nat_1(k3_finseq_1(F),1)) & k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),F),k1_nat_1(D,1)) = u2_fsm_1(A,B) ) ) ) ) ) => ! [D] : ( ( ~ v1_zfmisc_1(D) & v7_ordinal1(D) ) => ! [G] : ( m2_finseq_1(G,A) => ~ ( r1_xxreal_0(D,k1_nat_1(k3_finseq_1(G),1)) & k1_funct_1(k2_fsm_1(A,B,u2_fsm_1(A,B),G),D) = u2_fsm_1(A,B) ) ) ) ) ) )).
fof(s2_nat_2__e7_17_1_2_1__fib_num4,axiom,( ( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k2_power(k9_complex1(k2_fib_num),2)) & ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ( ~ r1_xxreal_0(k7_xcmplx_0(1,2),k2_power(k9_complex1(k2_fib_num),A)) => ~ r1_xxreal_0(k7_xcmplx_0(1,2),k2_power(k9_complex1(k2_fib_num),k1_nat_1(A,1))) ) ) ) => ! [A] : ( ( ~ v1_zfmisc_1(A) & v7_ordinal1(A) ) => ~ r1_xxreal_0(k7_xcmplx_0(1,2),k2_power(k9_complex1(k2_fib_num),A)) ) )).
fof(s2_nat_2__e7_31__fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m2_finseq_1(C,A) & v1_funct_1(F) & v1_funct_2(F,k2_tarski(D,E),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_tarski(D,E),B))) ) => ( ( ( r1_xxreal_0(2,k1_nat_1(k3_finseq_1(C),1)) => k1_funct_1(k2_fsm_1(A,k1_fsm_2(A,B,D,E,F),u2_fsm_1(A,k1_fsm_2(A,B,D,E,F)),C),2) = E ) & ! [G] : ( ( ~ v1_zfmisc_1(G) & v7_ordinal1(G) ) => ( ( r1_xxreal_0(G,k1_nat_1(k3_finseq_1(C),1)) => k1_funct_1(k2_fsm_1(A,k1_fsm_2(A,B,D,E,F),u2_fsm_1(A,k1_fsm_2(A,B,D,E,F)),C),G) = E ) => ( r1_xxreal_0(k1_nat_1(G,1),k1_nat_1(k3_finseq_1(C),1)) => k1_funct_1(k2_fsm_1(A,k1_fsm_2(A,B,D,E,F),u2_fsm_1(A,k1_fsm_2(A,B,D,E,F)),C),k1_nat_1(G,1)) = E ) ) ) ) => ! [G] : ( ( ~ v1_zfmisc_1(G) & v7_ordinal1(G) ) => ( r1_xxreal_0(G,k1_nat_1(k3_finseq_1(C),1)) => k1_funct_1(k2_fsm_1(A,k1_fsm_2(A,B,D,E,F),u2_fsm_1(A,k1_fsm_2(A,B,D,E,F)),C),G) = E ) ) ) ) )).
fof(s2_nat_4__e13_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( D = a_2_9_nat_4(B,C) => ( r2_tarski(k1_newton(A,k11_nat_3(C,A)),D) | k11_nat_3(k2_wsierp_1(k14_finseq_1(D)),A) = k5_numbers ) ) ) ) ) )).
fof(s2_nat_4__e14_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( D = a_2_8_nat_4(B,C) => ( r2_tarski(k1_newton(A,k11_nat_3(C,A)),D) | k11_nat_3(k2_wsierp_1(k14_finseq_1(D)),A) = k5_numbers ) ) ) ) ) )).
fof(s2_nat_4__e2_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( D = a_2_7_nat_4(B,C) => ( r2_tarski(k1_newton(A,k11_nat_3(C,A)),D) | k11_nat_3(k2_wsierp_1(k14_finseq_1(D)),A) = k5_numbers ) ) ) ) ) )).
fof(s2_nat_d__e15_18_5__ami_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_ami_3)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) & m1_subset_1(E,k4_ordinal1) ) => ( ( k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k5_numbers)) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k5_numbers),k10_ami_3(k5_numbers)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k5_numbers),k10_ami_3(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k5_numbers),k10_ami_3(1)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k5_numbers),k10_ami_3(1)) & ~ r1_xxreal_0(4,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k3_xcmplx_0(4,F))) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k3_xcmplx_0(4,F))) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k3_xcmplx_0(4,F)),k10_ami_3(k5_numbers)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k3_xcmplx_0(4,F)),k10_ami_3(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k3_xcmplx_0(4,F)),k10_ami_3(1)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k3_xcmplx_0(4,F)),k10_ami_3(1)) & r1_xxreal_0(G,4) ) => ( G = k5_numbers | ( k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k2_xcmplx_0(k3_xcmplx_0(4,F),G))) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k2_xcmplx_0(k3_xcmplx_0(4,F),G))) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k2_xcmplx_0(k3_xcmplx_0(4,F),G)),k10_ami_3(k5_numbers)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k2_xcmplx_0(k3_xcmplx_0(4,F),G)),k10_ami_3(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,k2_xcmplx_0(k3_xcmplx_0(4,F),G)),k10_ami_3(1)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,k2_xcmplx_0(k3_xcmplx_0(4,F),G)),k10_ami_3(1)) ) ) ) ) ) ) => ( k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,E)) = k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,E)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,E),k10_ami_3(k5_numbers)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,E),k10_ami_3(k5_numbers)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,C,E),k10_ami_3(1)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,B,D,E),k10_ami_3(1)) ) ) ) )).
fof(s2_ordinal1__e14_40__card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(D,k1_card_5(A)) => r2_tarski(k1_funct_1(B,D),A) ) ) ) => ( r2_tarski(C,k1_card_5(A)) => r2_tarski(k1_funct_1(B,C),A) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k1_card_5(A)) => r2_tarski(k1_funct_1(B,C),A) ) ) ) ) )).
fof(s2_ordinal1__e2_20__classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r1_ordinal1(B,D) => r1_tarski(k3_classes1(A,B),k3_classes1(A,D)) ) ) ) => ( r1_ordinal1(B,C) => r1_tarski(k3_classes1(A,B),k3_classes1(A,C)) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r1_ordinal1(B,C) => r1_tarski(k3_classes1(A,B),k3_classes1(A,C)) ) ) ) ) )).
fof(s2_ordinal1__e2_40__bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => v2_wellord1(k4_bagorder(B)) ) ) => v2_wellord1(k4_bagorder(A)) ) ) => ! [A] : ( v3_ordinal1(A) => v2_wellord1(k4_bagorder(A)) ) )).
fof(s2_ordinal1__e2_41_1__classes1,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ( r2_tarski(A,C) => r2_tarski(k4_classes1(A),k4_classes1(C)) ) ) ) => ( r2_tarski(A,B) => r2_tarski(k4_classes1(A),k4_classes1(B)) ) ) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(A,B) => r2_tarski(k4_classes1(A),k4_classes1(B)) ) ) ) ) )).
fof(s2_ordinal1__e2_44__classes1,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ! [C] : ~ ( r2_tarski(C,k4_classes1(B)) & r3_tarski(C,k4_classes1(B)) ) ) ) => ! [D] : ~ ( r2_tarski(D,k4_classes1(A)) & r3_tarski(D,k4_classes1(A)) ) ) ) => ! [A] : ( v3_ordinal1(A) => ! [E] : ~ ( r2_tarski(E,k4_classes1(A)) & r3_tarski(E,k4_classes1(A)) ) ) )).
fof(s2_ordinal1__e2_62__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(A,D) => r2_tarski(k10_ordinal2(B,A),k10_ordinal2(B,D)) ) ) ) => ( r2_tarski(A,C) => r2_tarski(k10_ordinal2(B,A),k10_ordinal2(B,C)) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(A,C) => r2_tarski(k10_ordinal2(B,A),k10_ordinal2(B,C)) ) ) ) ) )).
fof(s2_ordinal1__e2_77__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ? [C] : ( v3_ordinal1(C) & ? [D] : ( v3_ordinal1(D) & v4_ordinal1(C) & v7_ordinal1(D) & B = k10_ordinal2(C,D) ) ) ) ) => ? [E] : ( v3_ordinal1(E) & ? [F] : ( v3_ordinal1(F) & v4_ordinal1(E) & v7_ordinal1(F) & A = k10_ordinal2(E,F) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => ? [G] : ( v3_ordinal1(G) & ? [H] : ( v3_ordinal1(H) & v4_ordinal1(G) & v7_ordinal1(H) & A = k10_ordinal2(G,H) ) ) ) )).
fof(s2_ordinal1__e2_96__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ~ ( r2_tarski(k5_numbers,B) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) & v5_ordinal1(C) & v1_ordinal2(C) & v6_ordinal5(C) ) => B != k4_ordinal5(C) ) ) ) ) => ~ ( r2_tarski(k5_numbers,A) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) & v5_ordinal1(D) & v1_ordinal2(D) & v6_ordinal5(D) ) => A != k4_ordinal5(D) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => ~ ( r2_tarski(k5_numbers,A) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & ~ v1_xboole_0(E) & v5_ordinal1(E) & v1_ordinal2(E) & v6_ordinal5(E) ) => A != k4_ordinal5(E) ) ) ) )).
fof(s2_ordinal1__e3_10__zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( k9_xtuple_0(D) = k1_zf_colla(A,C) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_zf_colla(A,C)) => k1_funct_1(D,F) = k7_relat_1(D,F) ) ) & k9_xtuple_0(E) = k1_zf_colla(A,C) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_zf_colla(A,C)) => k1_funct_1(E,F) = k7_relat_1(E,F) ) ) ) => D = E ) ) ) ) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( ( k9_xtuple_0(G) = k1_zf_colla(A,B) & ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k1_zf_colla(A,B)) => k1_funct_1(G,I) = k7_relat_1(G,I) ) ) & k9_xtuple_0(H) = k1_zf_colla(A,B) & ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k1_zf_colla(A,B)) => k1_funct_1(H,I) = k7_relat_1(H,I) ) ) ) => G = H ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) ) => ( ( k9_xtuple_0(J) = k1_zf_colla(A,B) & ! [L] : ( m1_subset_1(L,A) => ( r2_tarski(L,k1_zf_colla(A,B)) => k1_funct_1(J,L) = k7_relat_1(J,L) ) ) & k9_xtuple_0(K) = k1_zf_colla(A,B) & ! [L] : ( m1_subset_1(L,A) => ( r2_tarski(L,k1_zf_colla(A,B)) => k1_funct_1(K,L) = k7_relat_1(K,L) ) ) ) => J = K ) ) ) ) ) ) )).
fof(s2_ordinal1__e3_26__classes1,axiom,( ! [A] : ( ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ( C != k1_xboole_0 => v1_ordinal1(k3_classes1(A,C)) ) ) ) => ( B != k1_xboole_0 => v1_ordinal1(k3_classes1(A,B)) ) ) ) => ! [B] : ( v3_ordinal1(B) => ( B != k1_xboole_0 => v1_ordinal1(k3_classes1(A,B)) ) ) ) )).
fof(s2_ordinal1__e3_64__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => r1_ordinal1(k10_ordinal2(A,D),k10_ordinal2(B,D)) ) ) => r1_ordinal1(k10_ordinal2(A,C),k10_ordinal2(B,C)) ) ) => ! [C] : ( v3_ordinal1(C) => r1_ordinal1(k10_ordinal2(A,C),k10_ordinal2(B,C)) ) ) ) )).
fof(s2_ordinal1__e3_65_6__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ( v3_ordinal1(D) => ( ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => ? [F] : ( m1_subset_1(F,B) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v5_ordinal1(G) & F = k1_funct_1(C,a_3_1_orders_1(A,B,G)) & k9_xtuple_0(G) = E & ! [H] : ( v3_ordinal1(H) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v5_ordinal1(I) ) => ( ( r2_tarski(H,E) & I = k5_relat_1(G,H) ) => k1_funct_1(G,H) = k1_funct_1(C,a_3_1_orders_1(A,B,I)) ) ) ) ) ) ) ) => ? [J] : ( m1_subset_1(J,B) & ? [K] : ( v1_relat_1(K) & v1_funct_1(K) & v5_ordinal1(K) & J = k1_funct_1(C,a_3_1_orders_1(A,B,K)) & k9_xtuple_0(K) = D & ! [L] : ( v3_ordinal1(L) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v5_ordinal1(M) ) => ( ( r2_tarski(L,D) & M = k5_relat_1(K,L) ) => k1_funct_1(K,L) = k1_funct_1(C,a_3_1_orders_1(A,B,M)) ) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ? [N] : ( m1_subset_1(N,B) & ? [O] : ( v1_relat_1(O) & v1_funct_1(O) & v5_ordinal1(O) & N = k1_funct_1(C,a_3_1_orders_1(A,B,O)) & k9_xtuple_0(O) = D & ! [P] : ( v3_ordinal1(P) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v5_ordinal1(Q) ) => ( ( r2_tarski(P,D) & Q = k5_relat_1(O,P) ) => k1_funct_1(O,P) = k1_funct_1(C,a_3_1_orders_1(A,B,Q)) ) ) ) ) ) ) ) ) )).
fof(s2_ordinal1__e3_69__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => k11_ordinal2(B,k1_ordinal1(k5_ordinal1)) = B ) ) => k11_ordinal2(A,k1_ordinal1(k5_ordinal1)) = A ) ) => ! [A] : ( v3_ordinal1(A) => k11_ordinal2(A,k1_ordinal1(k5_ordinal1)) = A ) )).
fof(s2_ordinal1__e3_72_1__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => r1_ordinal1(k11_ordinal2(D,A),k11_ordinal2(D,B)) ) ) => r1_ordinal1(k11_ordinal2(C,A),k11_ordinal2(C,B)) ) ) => ! [C] : ( v3_ordinal1(C) => r1_ordinal1(k11_ordinal2(C,A),k11_ordinal2(C,B)) ) ) ) )).
fof(s2_ordinal1__e4_77__classes1,axiom,( ! [A] : ( v3_ordinal1(A) => ( ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => r1_ordinal1(B,k6_classes1(B)) ) ) => r1_ordinal1(A,k6_classes1(A)) ) ) => ! [A] : ( v3_ordinal1(A) => r1_ordinal1(A,k6_classes1(A)) ) )).
fof(s2_ordinal1__e5_10__zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_zf_colla(A,C) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_zf_colla(A,C)) => k1_funct_1(D,E) = k7_relat_1(D,E) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_zf_colla(A,B) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,k1_zf_colla(A,B)) => k1_funct_1(F,G) = k7_relat_1(F,G) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & k9_xtuple_0(H) = k1_zf_colla(A,B) & ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k1_zf_colla(A,B)) => k1_funct_1(H,I) = k7_relat_1(H,I) ) ) ) ) ) ) )).
fof(s2_ordinal1__e5_11__card_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(D,k9_xtuple_0(A)) => ( r2_tarski(D,k9_xtuple_0(B)) & k1_funct_1(A,D) = k1_funct_1(B,D) ) ) ) ) => ( r2_tarski(C,k9_xtuple_0(A)) => ( r2_tarski(C,k9_xtuple_0(B)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => ( r2_tarski(C,k9_xtuple_0(B)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(s2_ordinal1__e6_10_3__zf_colla,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ( v3_ordinal1(D) => ( ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => ( r1_ordinal1(E,B) => ( k9_xtuple_0(k5_relat_1(C,k1_zf_colla(A,E))) = k1_zf_colla(A,E) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_zf_colla(A,E)) => k1_funct_1(k5_relat_1(C,k1_zf_colla(A,E)),F) = k7_relat_1(k5_relat_1(C,k1_zf_colla(A,E)),F) ) ) ) ) ) ) => ( r1_ordinal1(D,B) => ( k9_xtuple_0(k5_relat_1(C,k1_zf_colla(A,D))) = k1_zf_colla(A,D) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,k1_zf_colla(A,D)) => k1_funct_1(k5_relat_1(C,k1_zf_colla(A,D)),G) = k7_relat_1(k5_relat_1(C,k1_zf_colla(A,D)),G) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => ( r1_ordinal1(D,B) => ( k9_xtuple_0(k5_relat_1(C,k1_zf_colla(A,D))) = k1_zf_colla(A,D) & ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,k1_zf_colla(A,D)) => k1_funct_1(k5_relat_1(C,k1_zf_colla(A,D)),H) = k7_relat_1(k5_relat_1(C,k1_zf_colla(A,D)),H) ) ) ) ) ) ) ) )).
fof(s2_ordinal1__e6_65_4__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v3_ordinal1(C) ) => ( ! [D] : ( v3_ordinal1(D) => ( ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => ( r1_ordinal1(E,C) => k5_relat_1(A,E) = k5_relat_1(B,E) ) ) ) => ( r1_ordinal1(D,C) => k5_relat_1(A,D) = k5_relat_1(B,D) ) ) ) => ! [D] : ( v3_ordinal1(D) => ( r1_ordinal1(D,C) => k5_relat_1(A,D) = k5_relat_1(B,D) ) ) ) ) )).
fof(s2_ordinal1__e6_70__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( ! [C] : ( v3_ordinal1(C) => ( ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => ( r2_tarski(A,D) => r2_tarski(k11_ordinal2(A,B),k11_ordinal2(D,B)) ) ) ) => ( r2_tarski(A,C) => r2_tarski(k11_ordinal2(A,B),k11_ordinal2(C,B)) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(A,C) => r2_tarski(k11_ordinal2(A,B),k11_ordinal2(C,B)) ) ) ) ) )).
fof(s2_ordinal1__e9_65_2__orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) ) => ( ! [D] : ( v3_ordinal1(D) => ( ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,D) => ( r1_ordinal1(E,A) => k5_relat_1(B,E) = k5_relat_1(C,E) ) ) ) => ( r1_ordinal1(D,A) => k5_relat_1(B,D) = k5_relat_1(C,D) ) ) ) => ! [D] : ( v3_ordinal1(D) => ( r1_ordinal1(D,A) => k5_relat_1(B,D) = k5_relat_1(C,D) ) ) ) ) )).
fof(s2_ordinal2__e12_4_2__card_5,axiom,( ! [A] : ( ( v1_ordinal1(A) & v2_ordinal1(A) ) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_card_1(C) ) ) ) ) )).
fof(s2_ordinal2__e13_59_2__lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k8_lattice5(A,D) ) ) ) ) )).
fof(s2_ordinal2__e18_33_2__lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) ) )).
fof(s2_ordinal2__e1_41__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_card_1(k1_card_1(u1_struct_0(A))) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k2_card_1(k1_card_1(u1_struct_0(A)))) => k1_funct_1(D,E) = k5_knaster(A,B,C,E) ) ) ) ) )).
fof(s2_ordinal2__e1_42__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_card_1(k1_card_1(u1_struct_0(A))) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k2_card_1(k1_card_1(u1_struct_0(A)))) => k1_funct_1(D,E) = k6_knaster(A,B,C,E) ) ) ) ) )).
fof(s2_ordinal2__e1_48__card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k4_classes1(C) ) ) ) ) )).
fof(s2_ordinal2__e1_55__classes2,axiom,( ? [A] : ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & k9_xtuple_0(A) = k4_ordinal1 & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k4_ordinal1) => k1_funct_1(A,B) = k4_classes1(B) ) ) ) )).
fof(s2_ordinal2__e2_15__classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_classes1(A,D) ) ) ) ) )).
fof(s2_ordinal2__e2_34_1_1_1_1_1_1_2__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k5_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e2_34_2_1_1_4_1_1_1_1_1_2__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k5_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e2_35_1_1_1_1_1_1_2__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k6_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e2_35_2_1_1_4_1_1_1_1_1_2__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k6_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e2_35__classes1,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k4_classes1(C) ) ) ) ) )).
fof(s2_ordinal2__e2_42_1_1_2__card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_card_1(A) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k2_card_1(A)) => k1_funct_1(C,D) = k1_funct_2(B,D) ) ) ) ) )).
fof(s2_ordinal2__e3_32_2__lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) ) )).
fof(s2_ordinal2__e3_36_1__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k6_lattice8(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e3_37_2__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k6_lattice8(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e3_38_1_1__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k5_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e3_38_2__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k6_lattice8(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e3_39_1_1__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k6_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e3_44__card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k1_funct_2(B,D) ) ) ) ) )).
fof(s2_ordinal2__e3_44__exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) )).
fof(s2_ordinal2__e3_45_2__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k5_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e3_46_2__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k6_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e3_56_1__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k5_knaster(A,B,k5_lattices(A),E) ) ) ) ) )).
fof(s2_ordinal2__e3_56_4__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k6_knaster(A,B,k6_lattices(A),E) ) ) ) ) )).
fof(s2_ordinal2__e3_58_2__lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k8_lattice5(A,D) ) ) ) ) )).
fof(s2_ordinal2__e3_62_1__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k12_lattice5(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e3_63_2__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k12_lattice5(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e3_64_2__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k12_lattice5(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e4_32_2__card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_card_1(C) ) ) ) ) )).
fof(s2_ordinal2__e4_39_2__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k6_lattice8(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e4_47_2__card_lar,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k4_classes1(C) ) ) ) ) )).
fof(s2_ordinal2__e4_4__ordinal5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,B) => k1_funct_1(D,E) = k1_funct_1(C,k10_ordinal2(A,E)) ) ) ) ) )).
fof(s2_ordinal2__e4_59_2__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k11_lattice5(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e4_65_2__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k12_lattice5(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e4_66_2__classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k16_classes2(C) ) ) ) ) )).
fof(s2_ordinal2__e5_26_2__lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) ) )).
fof(s2_ordinal2__e5_33_2_1_1__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k5_lattice8(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e5_33_2__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k5_lattice8(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e5_35_2__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k6_lattice8(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e5_49_2__lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k8_lattice5(A,D) ) ) ) ) )).
fof(s2_ordinal2__e5_59_2_1_1__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k11_lattice5(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e5_61_1__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) & v3_ordinal1(E) ) => ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,E) => k1_funct_1(F,G) = k12_lattice5(A,B,C,D,G) ) ) ) ) )).
fof(s2_ordinal2__e6_20__classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k4_classes1(C) ) ) ) ) )).
fof(s2_ordinal2__e6_6__exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k4_ordinal1) => k1_funct_1(B,C) = k10_ordinal2(A,C) ) ) ) ) )).
fof(s2_ordinal2__e7_37_2__lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) ) )).
fof(s2_ordinal2__e7_38_2__lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) ) )).
fof(s2_ordinal2__e7_63_2__lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k8_lattice5(A,D) ) ) ) ) )).
fof(s2_ordinal2__e7_64_2__lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k8_lattice5(A,D) ) ) ) ) )).
fof(s2_ordinal2__e8_32_1__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k5_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e8_33_1__knaster,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & v3_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k6_knaster(A,B,C,F) ) ) ) ) )).
fof(s2_ordinal2__e8_39_2__lattice8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) ) )).
fof(s2_ordinal2__e8_65_2__lattice5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k8_lattice5(A,D) ) ) ) ) )).
fof(s2_ordinal4__e4_23__zfrefle1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => k1_funct_1(D,E) = k7_ordinal4(A,k6_ordinal4(A,B),k4_ordinal4(A,C,E)) ) ) ) )).
fof(s2_ordinal5__e3_47__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(B,C) => r2_tarski(k12_ordinal2(k4_ordinal1,B),k12_ordinal2(k4_ordinal1,C)) ) ) ) & ! [B] : ( v3_ordinal1(B) => ( v4_ordinal1(B) => ( v1_xboole_0(B) | ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) ) => ( ( k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(k4_ordinal1,D) ) ) ) => r1_ordinal2(k12_ordinal2(k4_ordinal1,B),C) ) ) ) ) ) ) => ? [B] : ( v3_ordinal1(B) & r2_tarski(A,B) & k12_ordinal2(k4_ordinal1,B) = B ) ) ) )).
fof(s2_ordinal6__e8_71__ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & v2_ordinal6(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( ( r2_tarski(k4_ordinal1,A) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => r2_tarski(k4_ordinal6(A,k2_ordinal1(A),B,D),A) ) ) & ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(D,E) & r2_tarski(E,A) ) => r2_tarski(k4_ordinal6(A,k2_ordinal1(A),B,D),k4_ordinal6(A,k2_ordinal1(A),B,E)) ) ) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( v4_ordinal1(D) => ( v1_xboole_0(D) | ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & v1_ordinal2(E) ) => ( ( k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k4_ordinal6(A,k2_ordinal1(A),B,F) ) ) ) => r1_ordinal2(k4_ordinal6(A,k2_ordinal1(A),B,D),E) ) ) ) ) ) ) => ? [D] : ( v3_ordinal1(D) & m1_subset_1(D,A) & r2_tarski(C,D) & k4_ordinal6(A,k2_ordinal1(A),B,D) = D ) ) ) )).
fof(s2_partfun2__e1_36__taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) <=> r2_tarski(C,k1_numbers) ) ) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) => k7_partfun1(k1_numbers,B,C) = k10_subset_1(k6_xcmplx_0(A,C),k1_numbers) ) ) ) ) )).
fof(s2_partfun2__e1_37__taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_xreal_0(B) & v1_xreal_0(C) ) => ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [E] : ( m1_subset_1(E,k1_numbers) => ( r2_tarski(E,k1_relset_1(k1_numbers,D)) <=> r2_tarski(E,k1_numbers) ) ) & ! [E] : ( m1_subset_1(E,k1_numbers) => ( r2_tarski(E,k1_relset_1(k1_numbers,D)) => k7_partfun1(k1_numbers,D,E) = k10_subset_1(k7_xcmplx_0(k3_xcmplx_0(B,k1_newton(k6_xcmplx_0(C,E),k1_nat_1(A,1))),k2_newton(k1_nat_1(A,1))),k1_numbers) ) ) ) ) )).
fof(s2_partfun2__e1_38__taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(D) ) => ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => ( r2_tarski(F,k1_relset_1(k1_numbers,E)) <=> r2_tarski(F,C) ) ) & ! [F] : ( m1_subset_1(F,k1_numbers) => ( r2_tarski(F,k1_relset_1(k1_numbers,E)) => k7_partfun1(k1_numbers,E,F) = k10_subset_1(k6_xcmplx_0(k1_funct_1(B,D),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(B,C,F,D)),A)),k1_numbers) ) ) ) ) )).
fof(s2_partfun2__e1_3__bvfunc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) & m1_subset_1(C,A) ) => ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_bvfunc_2(A),k9_setfam_1(A)))) & ! [E] : ( m1_subset_1(E,k1_bvfunc_2(A)) => ( r2_tarski(E,k1_relset_1(k1_bvfunc_2(A),D)) <=> r2_tarski(E,B) ) ) & ! [E] : ( m1_subset_1(E,k1_bvfunc_2(A)) => ( r2_tarski(E,k1_relset_1(k1_bvfunc_2(A),D)) => k7_partfun1(k9_setfam_1(A),D,E) = k15_bvfunc_1(A,C,E) ) ) ) ) )).
fof(s2_partfun2__e1_5_3__holder_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) <=> r2_tarski(C,k1_numbers) ) ) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) => k7_partfun1(k1_numbers,B,C) = k10_subset_1(k6_xcmplx_0(k7_xcmplx_0(1,A),C),k1_numbers) ) ) ) ) )).
fof(s2_partfun2__e3_66__ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) <=> r2_tarski(C,k1_numbers) ) ) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) => k7_partfun1(k1_numbers,B,C) = k10_subset_1(k6_xcmplx_0(C,A),k1_numbers) ) ) ) ) )).
fof(s2_partfun2__e3_67__ordeq_01,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v7_ordinal1(B) ) => ? [C] : ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,k1_relset_1(k1_numbers,C)) <=> r2_tarski(D,k1_numbers) ) ) & ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,k1_relset_1(k1_numbers,C)) => k7_partfun1(k1_numbers,C,D) = k10_subset_1(k1_newton(k6_xcmplx_0(D,A),k2_xcmplx_0(B,1)),k1_numbers) ) ) ) ) )).
fof(s2_pboole__e1_69__closure1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v5_mssubfam(C,A,B) & m3_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(D,A,k5_mssubfam(A,B)) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( r2_hidden(F,A) => ! [G] : ( r2_hidden(G,k1_funct_1(E,F)) <=> ( r2_hidden(G,k1_funct_1(C,F)) & ? [H] : ( H = G & r1_tarski(k1_funct_1(D,F),H) ) ) ) ) ) ) )).
fof(s2_pboole__e4_20__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(A)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(A)) & ! [G] : ( r2_hidden(G,u1_struct_0(A)) => ! [H] : ( r2_hidden(H,k1_funct_1(F,G)) <=> ( r2_hidden(H,k1_funct_1(u3_msualg_1(A,B),G)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & G = I & k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,I),H) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),E,I),H) ) ) ) ) ) ) )).
fof(s2_pboole__e6_33__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(C) & m1_pralg_2(D,C,A) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(A)) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ! [G] : ( r2_hidden(G,k1_funct_1(E,F)) <=> ( r2_hidden(G,k1_funct_1(k10_pralg_2(C,A,D),F)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,k1_funct_1(k10_pralg_2(C,A,D),H)) & ? [J] : ( v3_msualg_1(J,A) & v4_msualg_1(J,A) & v3_msafree2(J,A) & m1_msualg_2(J,A,B) & H = F & I = G & ! [K] : ( ( v3_msualg_1(K,A) & v4_msualg_1(K,A) & v3_msafree2(K,A) & m1_msualg_2(K,A,B) ) => ( m1_msualg_2(J,A,K) => k1_funct_1(I,J) = k1_funct_1(I,K) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_polynom3__e1_20__polynom4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_xxreal_0(k1_algseq_1(A,C),k7_nat_d(k1_algseq_1(A,B),1)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k7_nat_d(k1_algseq_1(A,B),1),D) => k3_funct_2(k4_ordinal1,u1_struct_0(A),C,D) = k8_nat_1(u1_struct_0(A),B,D) ) ) ) ) )).
fof(s2_pre_circ__e20_12__int_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) & v7_ordinal1(B) & v1_int_2(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k8_newton) & v1_funct_1(C) & v1_partfun1(C,k8_newton) & ! [D] : ( m1_subset_1(D,k8_newton) => ( r2_tarski(D,k8_newton) => ( ( r2_tarski(D,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,A),k1_tarski(B))) => k1_funct_1(C,D) = k1_recdef_1(A,D) ) & ( ~ r2_tarski(D,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,A),k1_tarski(B))) => k1_funct_1(C,D) = k5_numbers ) ) ) ) ) ) )).
fof(s2_pre_poly__e6_2__triang_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_finset_1(B) & ~ ( k1_subset_1(u1_struct_0(A)) != k1_xboole_0 & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,k1_subset_1(u1_struct_0(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_subset_1(u1_struct_0(A))) => r3_orders_2(A,C,D) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(E,B) & r1_tarski(F,B) & ~ ( F != k1_xboole_0 & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_tarski(G,F) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,F) => r3_orders_2(A,G,H) ) ) ) ) ) ) => ~ ( k2_xboole_0(F,k1_tarski(E)) != k1_xboole_0 & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r2_tarski(I,k2_xboole_0(F,k1_tarski(E))) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(J,k2_xboole_0(F,k1_tarski(E))) => r3_orders_2(A,I,J) ) ) ) ) ) ) ) ) ) => ~ ( B != k1_xboole_0 & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ~ ( r2_tarski(K,B) & ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( r2_tarski(L,B) => r3_orders_2(A,K,L) ) ) ) ) ) ) ) )).
fof(s2_qc_lang1__e2_34__cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( ( v2_qc_lang1(B,A) => v1_finset_1(k24_qc_lang1(A,B)) ) & v1_finset_1(k24_qc_lang1(A,k12_qc_lang1(A))) & ( ( v3_qc_lang1(B,A) & v1_finset_1(k24_qc_lang1(A,k18_qc_lang1(A,B))) ) => v1_finset_1(k24_qc_lang1(A,B)) ) & ( ( v4_qc_lang1(B,A) & v1_finset_1(k24_qc_lang1(A,k19_qc_lang1(A,B))) & v1_finset_1(k24_qc_lang1(A,k20_qc_lang1(A,B))) ) => v1_finset_1(k24_qc_lang1(A,B)) ) & ( ( v5_qc_lang1(B,A) & v1_finset_1(k24_qc_lang1(A,k22_qc_lang1(A,B))) ) => v1_finset_1(k24_qc_lang1(A,B)) ) ) ) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => v1_finset_1(k24_qc_lang1(A,B)) ) ) ) )).
fof(s2_qc_lang1__e2_38__valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) & m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) ) => ( ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( ( v2_qc_lang1(D,A) => ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,D)) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,D,C))) ) ) & ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,k12_qc_lang1(A))) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,k12_qc_lang1(A),C))) ) & ( ( v3_qc_lang1(D,A) & ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,k18_qc_lang1(A,D))) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,k18_qc_lang1(A,D),C))) ) ) => ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,D)) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,D,C))) ) ) & ( ( v4_qc_lang1(D,A) & ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,k19_qc_lang1(A,D))) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,k19_qc_lang1(A,D),C))) ) & ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,k20_qc_lang1(A,D))) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,k20_qc_lang1(A,D),C))) ) ) => ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,D)) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,D,C))) ) ) & ( ( v5_qc_lang1(D,A) & ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,k22_qc_lang1(A,D))) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,k22_qc_lang1(A,D),C))) ) ) => ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,D)) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,D,C))) ) ) ) ) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ~ ( B != C & ~ r2_tarski(B,k24_qc_lang1(A,D)) & r2_tarski(B,k24_qc_lang1(A,k13_cqc_lang(A,D,C))) ) ) ) ) )).
fof(s2_quantal1__e2_28_1_1__quantal1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r2_tarski(C,k1_xboole_0) ) => a_2_1_quantal1(A,B) = k1_xboole_0 ) ) )).
fof(s2_quantal1__e2_28_1__quantal1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r2_tarski(C,k1_xboole_0) ) => a_2_2_quantal1(A,B) = k1_xboole_0 ) ) )).
fof(s2_recdef_1__e10_37__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_cqc_lang(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(A)))) & m1_subset_1(C,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))) => ? [F] : ( m1_subset_1(F,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) & G = k2_xfamily(E) & H = k4_subset_1(k3_qc_lang1(A),G,k6_goedelcp(A,k6_domain_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(D,1))))) & F = k1_domain_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)),k9_cqc_lang(A,k6_cqc_lang(A,k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(D,1))),k4_substut2(A,k5_goedelcp(A,B,k1_nat_1(D,1)),k4_goedelcp(A,B,k1_nat_1(D,1)),k2_qc_lang3(A,k31_qc_lang1(A,a_2_3_goedelcp(A,H))))),k4_subset_1(k3_qc_lang1(A),G,k24_qc_lang1(A,k9_cqc_lang(A,k6_cqc_lang(A,k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(D,1))),k4_substut2(A,k5_goedelcp(A,B,k1_nat_1(D,1)),k4_goedelcp(A,B,k1_nat_1(D,1)),k2_qc_lang3(A,k31_qc_lang1(A,a_2_3_goedelcp(A,H)))))))) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))))) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),D,k5_numbers) = C & ! [E] : ( v7_ordinal1(E) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(k3_qc_lang1(A))) & ? [J] : ( m1_subset_1(J,k1_zfmisc_1(k3_qc_lang1(A))) & I = k2_xfamily(k1_funct_1(D,E)) & J = k4_subset_1(k3_qc_lang1(A),I,k6_goedelcp(A,k6_domain_1(k3_cqc_lang(A),k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(E,1))))) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A))),D,k1_nat_1(E,1)) = k1_domain_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)),k9_cqc_lang(A,k6_cqc_lang(A,k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(E,1))),k4_substut2(A,k5_goedelcp(A,B,k1_nat_1(E,1)),k4_goedelcp(A,B,k1_nat_1(E,1)),k2_qc_lang3(A,k31_qc_lang1(A,a_2_3_goedelcp(A,J))))),k4_subset_1(k3_qc_lang1(A),I,k24_qc_lang1(A,k9_cqc_lang(A,k6_cqc_lang(A,k3_funct_2(k4_ordinal1,k3_cqc_lang(A),B,k1_nat_1(E,1))),k4_substut2(A,k5_goedelcp(A,B,k1_nat_1(E,1)),k4_goedelcp(A,B,k1_nat_1(E,1)),k2_qc_lang3(A,k31_qc_lang1(A,a_2_3_goedelcp(A,J)))))))) ) ) ) ) ) ) )).
fof(s2_recdef_1__e10_5_1_1_2__heine,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) ) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,k1_numbers) => ? [H] : ( m1_subset_1(H,k1_numbers) & ( ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) => ~ ( r1_tarski(I,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(G,k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(F,1)))),G),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),I)) & v1_finset_1(I) ) ) => H = k6_xcmplx_0(G,k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(F,2)))) ) & ( ? [I] : ( m1_subset_1(I,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) & r1_tarski(I,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(G,k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(F,1)))),G),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),I)) & v1_finset_1(I) ) => H = k2_xcmplx_0(G,k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(F,2)))) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & k3_funct_2(k4_ordinal1,k1_numbers,F,k5_numbers) = k10_subset_1(k7_xcmplx_0(k2_xcmplx_0(C,D),2),k1_numbers) & ! [G] : ( v7_ordinal1(G) => ( ( ! [J] : ( m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) => ~ ( r1_tarski(J,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(k1_funct_1(F,G),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(G,1)))),k1_funct_1(F,G)),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),J)) & v1_finset_1(J) ) ) => k3_funct_2(k4_ordinal1,k1_numbers,F,k1_nat_1(G,1)) = k6_xcmplx_0(k1_funct_1(F,G),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(G,2)))) ) & ( ? [J] : ( m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B))))) & r1_tarski(J,E) & r1_tarski(k1_rcomp_1(k6_xcmplx_0(k1_funct_1(F,G),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(G,1)))),k1_funct_1(F,G)),k5_setfam_1(u1_struct_0(k2_topmetr(A,B)),J)) & v1_finset_1(J) ) => k3_funct_2(k4_ordinal1,k1_numbers,F,k1_nat_1(G,1)) = k2_xcmplx_0(k1_funct_1(F,G),k7_xcmplx_0(k6_xcmplx_0(D,C),k11_newton(2,k1_nat_1(G,2)))) ) ) ) ) ) ) )).
fof(s2_recdef_1__e10_5__measure6,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k6_numbers) => ? [D] : ( m1_subset_1(D,k6_numbers) & ! [E] : ( m1_subset_1(E,k6_numbers) => ! [F] : ( m1_subset_1(F,k6_numbers) => ! [G] : ( v7_ordinal1(G) => ( ( G = B & E = C & F = D ) => F = k6_xxreal_3(E,2) ) ) ) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & k3_funct_2(k4_ordinal1,k6_numbers,B,k5_numbers) = A & ! [C] : ( v7_ordinal1(C) => ! [H] : ( m1_subset_1(H,k6_numbers) => ! [I] : ( m1_subset_1(I,k6_numbers) => ! [J] : ( v7_ordinal1(J) => ( ( J = C & H = k1_funct_1(B,C) & I = k3_funct_2(k4_ordinal1,k6_numbers,B,k1_nat_1(C,1)) ) => I = k6_xxreal_3(H,2) ) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e14_160__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),C) ) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,C) => ? [G] : ( m1_subset_1(G,C) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,k7_subset_1(u1_struct_0(A),B,k7_ideal_1(A,F))) & G = k4_subset_1(u1_struct_0(A),F,k6_domain_1(u1_struct_0(A),H)) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) & k3_funct_2(k4_ordinal1,C,E,k5_numbers) = D & ! [F] : ( v7_ordinal1(F) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(I,k7_subset_1(u1_struct_0(A),B,k7_ideal_1(A,k1_funct_1(E,F)))) & k3_funct_2(k4_ordinal1,C,E,k1_nat_1(F,1)) = k4_subset_1(u1_struct_0(A),k1_funct_1(E,F),k6_domain_1(u1_struct_0(A),I)) ) ) ) ) ) )).
fof(s2_recdef_1__e18_26_1_2__tietze,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) & ~ v1_xboole_0(D) & m1_subset_1(E,D) ) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,D) => ? [H] : ( m1_subset_1(H,D) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(I,A,k3_topmetr) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & I = G & ~ ( r1_tietze(k45_valued_1(C,I),k3_xcmplx_0(k7_xcmplx_0(2,3),k1_newton(k7_xcmplx_0(2,3),F)),B) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(J,A,k3_topmetr) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( H = k3_valued_1(u1_struct_0(A),u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),I,J) & r1_tietze(J,k3_xcmplx_0(k7_xcmplx_0(1,3),k1_newton(k7_xcmplx_0(2,3),k1_nat_1(F,1))),u1_struct_0(A)) & r1_tietze(k45_valued_1(k45_valued_1(C,I),J),k3_xcmplx_0(k7_xcmplx_0(2,3),k1_newton(k7_xcmplx_0(2,3),k1_nat_1(F,1))),B) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,D))) & k3_funct_2(k4_ordinal1,D,F,k5_numbers) = E & ! [G] : ( v7_ordinal1(G) => ? [K] : ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(K,A,k3_topmetr) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & K = k1_funct_1(F,G) & ~ ( r1_tietze(k45_valued_1(C,K),k3_xcmplx_0(k7_xcmplx_0(2,3),k1_newton(k7_xcmplx_0(2,3),G)),B) & ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(L,A,k3_topmetr) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( k3_funct_2(k4_ordinal1,D,F,k1_nat_1(G,1)) = k3_valued_1(u1_struct_0(A),u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),K,L) & r1_tietze(L,k3_xcmplx_0(k7_xcmplx_0(1,3),k1_newton(k7_xcmplx_0(2,3),k1_nat_1(G,1))),u1_struct_0(A)) & r1_tietze(k45_valued_1(k45_valued_1(C,K),L),k3_xcmplx_0(k7_xcmplx_0(2,3),k1_newton(k7_xcmplx_0(2,3),k1_nat_1(G,1))),B) ) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e18_43__waybel12,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v13_waybel_0(B,A) & v1_waybel_6(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_subset_1(C,u1_struct_0(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,B) => ? [G] : ( m1_subset_1(G,B) & ? [H] : ( m2_subset_1(H,u1_struct_0(A),B) & ? [I] : ( m2_subset_1(I,u1_struct_0(A),B) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & H = F & I = G & J = k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k1_nat_1(E,1)) & r1_waybel_3(A,I,k12_lattice3(A,H,J)) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & k3_funct_2(k4_ordinal1,B,E,k5_numbers) = C & ! [F] : ( v7_ordinal1(F) => ? [K] : ( m2_subset_1(K,u1_struct_0(A),B) & ? [L] : ( m2_subset_1(L,u1_struct_0(A),B) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & K = k1_funct_1(E,F) & L = k3_funct_2(k4_ordinal1,B,E,k1_nat_1(F,1)) & M = k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k1_nat_1(F,1)) & r1_waybel_3(A,L,k12_lattice3(A,K,M)) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e19__pre_ff,axiom,( ! [A] : ( m2_finseq_2(A,k4_ordinal1,k3_finseq_2(k4_ordinal1)) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k3_finseq_2(k4_ordinal1)) => ? [D] : ( m1_subset_1(D,k3_finseq_2(k4_ordinal1)) & ! [E] : ( v7_ordinal1(E) => ( k1_nat_1(B,2) = k3_xcmplx_0(2,E) => D = k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,C,E))) ) ) & ! [E] : ( v7_ordinal1(E) => ( k1_nat_1(B,2) = k1_nat_1(k3_xcmplx_0(2,E),1) => D = k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,C,E),k7_partfun1(k4_ordinal1,C,k1_nat_1(E,1))))) ) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k3_finseq_2(k4_ordinal1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k4_ordinal1)))) & k3_funct_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),B,k5_numbers) = A & ! [C] : ( v7_ordinal1(C) => ( ! [F] : ( v7_ordinal1(F) => ( k1_nat_1(C,2) = k3_xcmplx_0(2,F) => k3_funct_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),B,k1_nat_1(C,1)) = k8_finseq_1(k4_ordinal1,k1_funct_1(B,C),k12_finseq_1(k4_ordinal1,k7_partfun1(k4_ordinal1,k1_funct_1(B,C),F))) ) ) & ! [F] : ( v7_ordinal1(F) => ( k1_nat_1(C,2) = k1_nat_1(k3_xcmplx_0(2,F),1) => k3_funct_2(k4_ordinal1,k3_finseq_2(k4_ordinal1),B,k1_nat_1(C,1)) = k8_finseq_1(k4_ordinal1,k1_funct_1(B,C),k12_finseq_1(k4_ordinal1,k1_nat_1(k7_partfun1(k4_ordinal1,k1_funct_1(B,C),F),k7_partfun1(k4_ordinal1,k1_funct_1(B,C),k1_nat_1(F,1))))) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e22_44__waybel35,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & v1_waybel35(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v3_waybel35(C,A,B) & m1_waybel35(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & ~ v1_xboole_0(E) & m1_subset_1(F,E) ) => ( ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,E) => ? [I] : ( m1_subset_1(I,E) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & I = J & r2_tarski(I,C) & r2_hidden(k4_tarski(H,I),B) & r3_orders_2(A,J,D) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,E))) & k3_funct_2(k4_ordinal1,E,G,k5_numbers) = F & ! [H] : ( v7_ordinal1(H) => ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,E,G,k1_nat_1(H,1)) = K & r2_tarski(k3_funct_2(k4_ordinal1,E,G,k1_nat_1(H,1)),C) & r2_hidden(k4_tarski(k1_funct_1(G,H),k3_funct_2(k4_ordinal1,E,G,k1_nat_1(H,1))),B) & r3_orders_2(A,K,D) ) ) ) ) ) )).
fof(s2_recdef_1__e2_1_3__normsp_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_numbers) ) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(A),k1_numbers)) => ? [G] : ( m1_subset_1(G,k2_zfmisc_1(u1_struct_0(A),k1_numbers)) & ( k9_subset_1(u1_struct_0(A),k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,F),k3_domain_1(u1_struct_0(A),k1_numbers,F)),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E)) = k1_xboole_0 => ( r1_xxreal_0(k3_domain_1(u1_struct_0(A),k1_numbers,F),k5_numbers) | r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,E)),k3_domain_1(u1_struct_0(A),k1_numbers,F)) | ( ~ r1_xxreal_0(k3_domain_1(u1_struct_0(A),k1_numbers,G),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k11_newton(2,k1_nat_1(E,1))),k3_domain_1(u1_struct_0(A),k1_numbers,G)) & r1_tarski(k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,G),k3_domain_1(u1_struct_0(A),k1_numbers,G)),k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,F),k7_xcmplx_0(k3_domain_1(u1_struct_0(A),k1_numbers,F),2))) & k9_subset_1(u1_struct_0(A),k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,G),k3_domain_1(u1_struct_0(A),k1_numbers,G)),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(E,1))) = k1_xboole_0 ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers)))) & k3_funct_2(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers),E,k5_numbers) = k1_domain_1(u1_struct_0(A),k1_numbers,C,D) & ! [F] : ( v7_ordinal1(F) => ( k9_subset_1(u1_struct_0(A),k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,k1_funct_1(E,F)),k3_domain_1(u1_struct_0(A),k1_numbers,k1_funct_1(E,F))),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,F)) = k1_xboole_0 => ( r1_xxreal_0(k3_domain_1(u1_struct_0(A),k1_numbers,k1_funct_1(E,F)),k5_numbers) | r1_xxreal_0(k7_xcmplx_0(1,k1_newton(2,F)),k3_domain_1(u1_struct_0(A),k1_numbers,k1_funct_1(E,F))) | ( ~ r1_xxreal_0(k3_domain_1(u1_struct_0(A),k1_numbers,k3_funct_2(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers),E,k1_nat_1(F,1))),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k11_newton(2,k1_nat_1(F,1))),k3_domain_1(u1_struct_0(A),k1_numbers,k3_funct_2(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers),E,k1_nat_1(F,1)))) & r1_tarski(k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,k3_funct_2(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers),E,k1_nat_1(F,1))),k3_domain_1(u1_struct_0(A),k1_numbers,k3_funct_2(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers),E,k1_nat_1(F,1)))),k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,k1_funct_1(E,F)),k7_xcmplx_0(k3_domain_1(u1_struct_0(A),k1_numbers,k1_funct_1(E,F)),2))) & k9_subset_1(u1_struct_0(A),k8_metric_1(A,k2_domain_1(u1_struct_0(A),k1_numbers,k3_funct_2(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers),E,k1_nat_1(F,1))),k3_domain_1(u1_struct_0(A),k1_numbers,k3_funct_2(k4_ordinal1,k2_zfmisc_1(u1_struct_0(A),k1_numbers),E,k1_nat_1(F,1)))),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,k1_nat_1(F,1))) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e2_54__stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ? [E] : ( m1_subset_1(E,u4_struct_0(A)) & E = k53_abcmiz_1(u4_struct_0(A),D,u1_stacks_1(A),B,k5_stacks_1(A,D)) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u4_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u4_struct_0(A)))) & k3_funct_2(k4_ordinal1,u4_struct_0(A),C,k5_numbers) = B & ! [D] : ( v7_ordinal1(D) => k3_funct_2(k4_ordinal1,u4_struct_0(A),C,k1_nat_1(D,1)) = k53_abcmiz_1(u4_struct_0(A),k1_funct_1(C,D),u1_stacks_1(A),B,k5_stacks_1(A,k1_funct_1(C,D))) ) ) ) ) )).
fof(s2_recdef_1__e2_5__measure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,B) => ? [F] : ( m1_subset_1(F,B) & ! [G] : ( m2_subset_1(G,k1_zfmisc_1(A),B) => ! [H] : ( m2_subset_1(H,k1_zfmisc_1(A),B) => ! [I] : ( v7_ordinal1(I) => ( ( I = D & G = E & H = F ) => H = k1_measure1(A,B,k8_nat_1(B,C,k1_nat_1(I,1)),G) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & k3_funct_2(k4_ordinal1,B,D,k5_numbers) = k8_nat_1(B,C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ! [J] : ( m2_subset_1(J,k1_zfmisc_1(A),B) => ! [K] : ( m2_subset_1(K,k1_zfmisc_1(A),B) => ! [L] : ( v7_ordinal1(L) => ( ( L = E & J = k1_funct_1(D,E) & K = k3_funct_2(k4_ordinal1,B,D,k1_nat_1(E,1)) ) => K = k1_measure1(A,B,k8_nat_1(B,C,k1_nat_1(L,1)),J) ) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e2_6_1_1__binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) & m1_subset_1(E,A) ) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,B) => ? [H] : ( m1_subset_1(H,B) & H = k2_binop_1(A,B,B,D,E,G) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & k3_funct_2(k4_ordinal1,B,F,k5_numbers) = C & ! [G] : ( v7_ordinal1(G) => k3_funct_2(k4_ordinal1,B,F,k1_nat_1(G,1)) = k2_binop_1(A,B,B,D,E,k1_funct_1(F,G)) ) ) ) ) )).
fof(s2_recdef_1__e2_7_1_1__binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),B))) & m1_subset_1(E,A) ) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,B) => ? [H] : ( m1_subset_1(H,B) & H = k2_binop_1(B,A,B,D,G,E) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & k3_funct_2(k4_ordinal1,B,F,k5_numbers) = C & ! [G] : ( v7_ordinal1(G) => k3_funct_2(k4_ordinal1,B,F,k1_nat_1(G,1)) = k2_binop_1(B,A,B,D,k1_funct_1(F,G),E) ) ) ) ) )).
fof(s2_recdef_1__e2_9__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,B) => ? [G] : ( m1_subset_1(G,B) & ! [H] : ( m2_subset_1(H,k1_zfmisc_1(A),B) => ! [I] : ( m2_subset_1(I,k1_zfmisc_1(A),B) => ! [J] : ( v7_ordinal1(J) => ( ( J = E & H = F & I = G ) => I = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(J,1)),k8_nat_1(B,D,J)) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & k3_funct_2(k4_ordinal1,B,E,k5_numbers) = k8_nat_1(B,C,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ! [K] : ( m2_subset_1(K,k1_zfmisc_1(A),B) => ! [L] : ( m2_subset_1(L,k1_zfmisc_1(A),B) => ! [M] : ( v7_ordinal1(M) => ( ( M = F & K = k1_funct_1(E,F) & L = k3_funct_2(k4_ordinal1,B,E,k1_nat_1(F,1)) ) => L = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(M,1)),k8_nat_1(B,D,M)) ) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e3_10__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,B) => ? [G] : ( m1_subset_1(G,B) & ! [H] : ( m2_subset_1(H,k1_zfmisc_1(A),B) => ! [I] : ( m2_subset_1(I,k1_zfmisc_1(A),B) => ! [J] : ( v7_ordinal1(J) => ( ( J = E & H = F & I = G ) => I = k3_measure1(A,B,k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,J)) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & k3_funct_2(k4_ordinal1,B,E,k5_numbers) = D & ! [F] : ( v7_ordinal1(F) => ! [K] : ( m2_subset_1(K,k1_zfmisc_1(A),B) => ! [L] : ( m2_subset_1(L,k1_zfmisc_1(A),B) => ! [M] : ( v7_ordinal1(M) => ( ( M = F & K = k1_funct_1(E,F) & L = k3_funct_2(k4_ordinal1,B,E,k1_nat_1(F,1)) ) => L = k3_measure1(A,B,k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,M)) ) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e3_24__stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_stacks_1(A) ) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ? [D] : ( m1_subset_1(D,u4_struct_0(A)) & D = k5_stacks_1(A,C) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u4_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u4_struct_0(A)))) & k3_funct_2(k4_ordinal1,u4_struct_0(A),B,k5_numbers) = o_1_4_stacks_1(A) & ! [C] : ( v7_ordinal1(C) => k3_funct_2(k4_ordinal1,u4_struct_0(A),B,k1_nat_1(C,1)) = k5_stacks_1(A,k1_funct_1(B,C)) ) ) ) ) )).
fof(s2_recdef_1__e4_48__int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_int_7(A))) => ? [D] : ( m1_subset_1(D,u1_struct_0(k3_int_7(A))) & ~ r1_xxreal_0(k6_group_1(k3_int_7(A),D),k6_group_1(k3_int_7(A),C)) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k3_int_7(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_int_7(A))))) & k3_funct_2(k4_ordinal1,u1_struct_0(k3_int_7(A)),B,k5_numbers) = o_1_0_int_7(A) & ! [C] : ( v7_ordinal1(C) => ~ r1_xxreal_0(k6_group_1(k3_int_7(A),k3_funct_2(k4_ordinal1,u1_struct_0(k3_int_7(A)),B,k1_nat_1(C,1))),k6_group_1(k3_int_7(A),k1_funct_1(B,C))) ) ) ) ) )).
fof(s2_recdef_1__e4_4__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ~ v1_xboole_0(D) & m1_subset_1(E,D) ) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,D) => ? [H] : ( m1_subset_1(H,D) & ! [I] : ( m1_subset_1(I,D) => ! [J] : ( m1_subset_1(J,D) => ! [K] : ( v7_ordinal1(K) => ( ( K = F & I = G & J = H ) => J = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(K,1)),k8_nat_1(B,C,K)) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,D))) & k3_funct_2(k4_ordinal1,D,F,k5_numbers) = E & ! [G] : ( v7_ordinal1(G) => ! [L] : ( m1_subset_1(L,D) => ! [M] : ( m1_subset_1(M,D) => ! [N] : ( v7_ordinal1(N) => ( ( N = G & L = k1_funct_1(F,G) & M = k3_funct_2(k4_ordinal1,D,F,k1_nat_1(G,1)) ) => M = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(N,1)),k8_nat_1(B,C,N)) ) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e5_52__gr_cy_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v8_struct_0(B) & m1_group_2(B,k1_uniroots(A)) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ~ r1_xxreal_0(k6_group_1(B,E),k6_group_1(B,D)) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & k3_funct_2(k4_ordinal1,u1_struct_0(B),C,k5_numbers) = o_2_0_gr_cy_3(A,B) & ! [D] : ( v7_ordinal1(D) => ~ r1_xxreal_0(k6_group_1(B,k3_funct_2(k4_ordinal1,u1_struct_0(B),C,k1_nat_1(D,1))),k6_group_1(B,k1_funct_1(C,D))) ) ) ) ) )).
fof(s2_recdef_1__e6_35_1__card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,A) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,A) => ? [F] : ( m1_subset_1(F,A) & F = k3_ordinal2(k9_subset_1(A,a_3_3_card_lar(A,B,E),k2_subset_1(A))) & r2_tarski(E,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & k3_funct_2(k4_ordinal1,A,D,k5_numbers) = C & ! [E] : ( v7_ordinal1(E) => ( k3_funct_2(k4_ordinal1,A,D,k1_nat_1(E,1)) = k3_ordinal2(k9_subset_1(A,a_4_2_card_lar(A,B,D,E),k2_subset_1(A))) & r2_tarski(k1_funct_1(D,E),k3_funct_2(k4_ordinal1,A,D,k1_nat_1(E,1))) ) ) ) ) ) )).
fof(s2_recdef_1__e7_36__card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & m2_subset_1(C,A,B) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,B) => ? [F] : ( m1_subset_1(F,B) & r2_tarski(E,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & k3_funct_2(k4_ordinal1,B,D,k5_numbers) = C & ! [E] : ( v7_ordinal1(E) => r2_tarski(k1_funct_1(D,E),k3_funct_2(k4_ordinal1,B,D,k1_nat_1(E,1))) ) ) ) ) )).
fof(s2_recdef_1__e7_52__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ~ v1_xboole_0(C) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & ( ~ v1_finset_1(a_3_5_dickson(A,B,E)) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & G = a_3_6_dickson(A,B,E) & ~ v1_finset_1(a_3_5_dickson(A,B,E)) & H = o_2_8_dickson(A,G) & F = k8_dickson(A,B,o_4_5_dickson(A,B,E,H),E) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k3_funct_2(k4_ordinal1,k4_ordinal1,D,k5_numbers) = k7_dickson(B,o_3_9_dickson(A,B,C)) & ! [E] : ( v7_ordinal1(E) => ( ~ v1_finset_1(a_4_21_dickson(A,B,D,E)) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( ~ v1_xboole_0(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & I = a_4_22_dickson(A,B,D,E) & ~ v1_finset_1(a_4_21_dickson(A,B,D,E)) & J = o_2_8_dickson(A,I) & k3_funct_2(k4_ordinal1,k4_ordinal1,D,k1_nat_1(E,1)) = k8_dickson(A,B,o_5_11_dickson(A,B,D,E,J),k1_funct_1(D,E)) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e7_84_2_2__graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k9_graph_3(A)) => ? [E] : ( m1_subset_1(E,k9_graph_3(A)) & ? [F] : ( m2_finseq_2(F,u4_struct_0(A),k9_graph_3(A)) & F = D & E = k14_graph_3(A,F) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_graph_3(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_graph_3(A)))) & k3_funct_2(k4_ordinal1,k9_graph_3(A),C,k5_numbers) = B & ! [D] : ( v7_ordinal1(D) => ? [G] : ( m2_finseq_2(G,u4_struct_0(A),k9_graph_3(A)) & G = k1_funct_1(C,D) & k3_funct_2(k4_ordinal1,k9_graph_3(A),C,k1_nat_1(D,1)) = k14_graph_3(A,G) ) ) ) ) ) )).
fof(s2_recdef_1__e7_94__lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & ? [I] : ( v7_ordinal1(I) & G = D & H = E & I = F & ( ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(H,J) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(G)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,J),k1_normsp_0(A,B,H)))) ) ) => ( ~ r1_xxreal_0(I,H) & ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(I,J) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(k1_nat_1(G,1))),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,J),k1_normsp_0(A,B,I)))) ) ) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k3_funct_2(k4_ordinal1,k4_ordinal1,D,k5_numbers) = C & ! [E] : ( v7_ordinal1(E) => ? [K] : ( v7_ordinal1(K) & ? [L] : ( v7_ordinal1(L) & ? [M] : ( v7_ordinal1(M) & K = E & L = k1_funct_1(D,E) & M = k3_funct_2(k4_ordinal1,k4_ordinal1,D,k1_nat_1(E,1)) & ( ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(L,N) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(K)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,N),k1_normsp_0(A,B,L)))) ) ) => ( ~ r1_xxreal_0(M,L) & ! [N] : ( v7_ordinal1(N) => ~ ( r1_xxreal_0(M,N) & r1_xxreal_0(k2_power(2,k4_xcmplx_0(k1_nat_1(K,1))),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,N),k1_normsp_0(A,B,M)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e8_6__urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(D) & m1_subset_1(E,D) ) => ( ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,D) => ? [H] : ( m1_subset_1(H,D) & ? [I] : ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))))) & ? [J] : ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))))) & I = G & J = H & ? [K] : ( v7_ordinal1(K) & m1_urysohn3(I,A,B,C,K) ) & ! [K] : ( v7_ordinal1(K) => ( m1_urysohn3(I,A,B,C,K) => m1_urysohn3(J,A,B,C,k1_nat_1(K,1)) ) ) & ! [K] : ( m1_subset_1(K,k9_xtuple_0(I)) => k1_funct_1(I,K) = k1_funct_1(J,K) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,D))) & k3_funct_2(k4_ordinal1,D,F,k5_numbers) = E & ! [G] : ( v7_ordinal1(G) => ? [L] : ( v1_funct_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))))) & ? [M] : ( v1_funct_1(M) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))))) & L = k1_funct_1(F,G) & M = k3_funct_2(k4_ordinal1,D,F,k1_nat_1(G,1)) & ? [N] : ( v7_ordinal1(N) & m1_urysohn3(L,A,B,C,N) ) & ! [N] : ( v7_ordinal1(N) => ( m1_urysohn3(L,A,B,C,N) => m1_urysohn3(M,A,B,C,k1_nat_1(N,1)) ) ) & ! [N] : ( m1_subset_1(N,k9_xtuple_0(L)) => k1_funct_1(L,N) = k1_funct_1(M,N) ) ) ) ) ) ) ) )).
fof(s2_recdef_1__e8_91_1__absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_absred_0(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ( r2_tarski(E,A) => ( r2_tarski(F,A) & r1_absred_0(B,E,F) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & k3_funct_2(k4_ordinal1,u1_struct_0(B),D,k5_numbers) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k1_funct_1(D,E),A) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(B),D,k1_nat_1(E,1)),A) & r1_absred_0(B,k1_funct_1(D,E),k3_funct_2(k4_ordinal1,u1_struct_0(B),D,k1_nat_1(E,1))) ) ) ) ) ) ) )).
fof(s2_recdef_1__e9_39__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_cqc_lang(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_cqc_lang(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(A))) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k3_cqc_lang(A))) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_cqc_lang(A))) & G = k2_xboole_0(E,k1_tarski(k1_funct_1(C,D))) & ( v1_henmodel(G,A) => F = G ) & ( ~ v1_henmodel(G,A) => F = E ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A))))) & k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k5_numbers) = B & ! [E] : ( v7_ordinal1(E) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_cqc_lang(A))) & H = k2_xboole_0(k1_funct_1(D,E),k1_tarski(k1_funct_1(C,E))) & ( v1_henmodel(H,A) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(E,1)) = H ) & ( ~ v1_henmodel(H,A) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(k3_cqc_lang(A)),D,k1_nat_1(E,1)) = k1_funct_1(D,E) ) ) ) ) ) ) )).
fof(s2_relset_1__e1_15__arrow,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_hidden(k4_tarski(D,E),C) <=> ~ ( D != B & E = B ) ) ) ) ) ) )).
fof(s2_relset_1__e1_16__arrow,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_hidden(k4_tarski(D,E),C) <=> ~ ( D = B & E != B ) ) ) ) ) ) )).
fof(s2_relset_1__e1_22_1__arrow,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k2_arrow(A)) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_hidden(k4_tarski(D,E),C) <=> ( r1_arrow(B,D,E) & ~ ( r1_arrow(B,E,D) & ~ r1_arrow(o_1_2_arrow(A),D,E) ) ) ) ) ) ) ) )).
fof(s2_relset_1__e2_17__arrow,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,k2_arrow(A)) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( r2_hidden(k4_tarski(E,F),D) <=> ( E = B | ( r1_arrow(C,E,F) & F != B ) ) ) ) ) ) ) )).
fof(s2_relset_1__e2_18__arrow,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,k2_arrow(A)) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( r2_hidden(k4_tarski(E,F),D) <=> ( ( E != B & r1_arrow(C,E,F) ) | F = B ) ) ) ) ) ) )).
fof(s2_relset_1__e3_14__arrow,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( r2_hidden(k4_tarski(E,F),D) <=> ( ~ ( E != B & F = B ) & ~ ( E = C & F != C ) ) ) ) ) ) ) )).
fof(s2_relset_1__e3_63__roughs_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_hidden(k4_tarski(D,E),C) <=> r2_tarski(D,k1_funct_1(B,k1_tarski(E))) ) ) ) ) ) )).
fof(s2_relset_1__e5_40__rlsub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ( r2_hidden(k4_tarski(D,E),C) <=> ? [F] : ( v1_rlvect_1(F) & m1_rlsub_1(F,A) & ? [G] : ( v1_rlvect_1(G) & m1_rlsub_1(G,A) & D = F & E = G & m1_rlsub_1(F,G) ) ) ) ) ) ) ) )).
fof(s2_relset_1__e5_41__rusub_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) & ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ( r2_hidden(k4_tarski(D,E),C) <=> ? [F] : ( v1_bhsp_1(F) & m1_rusub_1(F,A) & ? [G] : ( v1_bhsp_1(G) & m1_rusub_1(G,A) & D = F & E = G & m1_rusub_1(F,G) ) ) ) ) ) ) ) )).
fof(s2_rewrite1__e11_67__circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v5_circcomb(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) ) => ( ( v1_rewrite1(B) & ! [D] : ( ! [E] : ( r2_hidden(k4_tarski(D,E),B) => ( D = E | ~ ( r2_hidden(E,u1_struct_0(A)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(A,C))) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & r1_xxreal_0(F,H) & k1_funct_1(k5_facirc_1(A,C,G,H),E) != k1_funct_1(k5_facirc_1(A,C,G,F),E) ) ) ) ) ) ) => ~ ( r2_hidden(D,u1_struct_0(A)) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ? [J] : ( m1_subset_1(J,k4_card_3(u3_msualg_1(A,C))) & ? [K] : ( m1_subset_1(K,k4_ordinal1) & r1_xxreal_0(I,K) & k1_funct_1(k5_facirc_1(A,C,J,K),D) != k1_funct_1(k5_facirc_1(A,C,J,I),D) ) ) ) ) ) ) => ! [D] : ( r2_hidden(D,k1_relat_1(B)) => ~ ( r2_hidden(D,u1_struct_0(A)) & ! [L] : ( m1_subset_1(L,k4_ordinal1) => ? [M] : ( m1_subset_1(M,k4_card_3(u3_msualg_1(A,C))) & ? [N] : ( m1_subset_1(N,k4_ordinal1) & r1_xxreal_0(L,N) & k1_funct_1(k5_facirc_1(A,C,M,N),D) != k1_funct_1(k5_facirc_1(A,C,M,L),D) ) ) ) ) ) ) ) )).
fof(s2_scheme1__e6_8__fdiff_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v9_ordinal1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_fdiff_1(A,k5_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v9_ordinal1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,C,k2_nat_1(2,D)) = k3_funct_2(k4_ordinal1,k1_numbers,A,D) & k3_funct_2(k4_ordinal1,k1_numbers,C,k1_nat_1(k2_nat_1(2,D),1)) = k3_funct_2(k4_ordinal1,k1_numbers,B,D) ) ) ) ) )).
fof(s2_scheme1__e8_3__fdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v9_ordinal1(A) & v1_fdiff_1(A,k5_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,C,k2_nat_1(2,D)) = k3_funct_2(k4_ordinal1,k1_numbers,A,D) & k3_funct_2(k4_ordinal1,k1_numbers,C,k1_nat_1(k2_nat_1(2,D),1)) = k3_funct_2(k4_ordinal1,k1_numbers,B,D) ) ) ) ) )).
fof(s2_scheme1__e8_4__fdiff_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v9_ordinal1(A) & v1_fdiff_1(A,k5_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v9_ordinal1(B) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,C,k2_nat_1(2,D)) = k3_funct_2(k4_ordinal1,k1_numbers,A,D) & k3_funct_2(k4_ordinal1,k1_numbers,C,k1_nat_1(k2_nat_1(2,D),1)) = k3_funct_2(k4_ordinal1,k1_numbers,B,D) ) ) ) ) )).
fof(s2_scmpds_8__e7_21__scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_int_1(E) & v1_funct_1(G) & v1_funct_2(G,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) & ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,F) => k1_funct_1(H,I) = k1_funct_1(B,I) ) ) & k1_recdef_1(G,H) = k5_numbers ) => r1_xxreal_0(k5_numbers,k1_funct_1(H,k2_scmpds_2(k1_funct_1(B,D),E))) ) ) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(J,F) => k1_funct_1(B,J) = k1_funct_1(B,J) ) ) & ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ( ( ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,F) => k1_funct_1(H,L) = k1_funct_1(B,L) ) ) & k1_funct_1(H,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(H,k2_scmpds_2(k1_funct_1(B,D),E))) | ( k1_funct_1(k6_scmpds_4(C,H,K),D) = k1_funct_1(H,D) & r1_scmpds_6(C,H,K) & r2_scmpds_6(C,H,K) & ~ r1_xxreal_0(k1_recdef_1(G,H),k1_recdef_1(G,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,H,K)))) & ! [M] : ( ( v1_ami_2(M) & m1_subset_1(M,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(M,F) => k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,H,K)),M) = k1_funct_1(B,M) ) ) ) ) ) ) ) ) => k6_scmpds_4(k1_scmpds_8(D,E,C),B,A) = k6_scmpds_4(k1_scmpds_8(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) )).
fof(s2_scpinvar__e12_13__scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(J,k1_scmp_gcd(H))) & ? [K] : ( m1_subset_1(K,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(J,k1_scmp_gcd(H)),K) & k1_funct_1(J,E) = k1_pre_ff(K) & k1_funct_1(J,F) = k1_pre_ff(k1_nat_1(K,1)) ) ) => ( k1_recdef_1(I,J) = k5_numbers <=> r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),H)),k5_numbers) ) ) ) & r1_xxreal_0(k5_numbers,k1_funct_1(B,k1_scmp_gcd(H))) & ? [L] : ( m1_subset_1(L,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(H)),L) & k1_funct_1(B,E) = k1_pre_ff(L) & k1_funct_1(B,F) = k1_pre_ff(k1_nat_1(L,1)) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(J,k1_scmp_gcd(H))) & ? [N] : ( m1_subset_1(N,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(J,k1_scmp_gcd(H)),N) & k1_funct_1(J,E) = k1_pre_ff(N) & k1_funct_1(J,F) = k1_pre_ff(k1_nat_1(N,1)) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),H)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & r1_xxreal_0(k5_numbers,k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),k1_scmp_gcd(H))) & ? [O] : ( m1_subset_1(O,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),k1_scmp_gcd(H)),O) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),E) = k1_pre_ff(O) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),F) = k1_pre_ff(k1_nat_1(O,1)) ) ) ) ) ) ) ) => ( k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k2_scmpds_8(D,H,C),B,A))) = k5_numbers & r1_xxreal_0(k5_numbers,k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k2_scmpds_8(D,H,C),B,A)),k1_scmp_gcd(H))) & ? [P] : ( m1_subset_1(P,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k2_scmpds_8(D,H,C),B,A)),k1_scmp_gcd(H)),P) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k2_scmpds_8(D,H,C),B,A)),E) = k1_pre_ff(P) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k2_scmpds_8(D,H,C),B,A)),F) = k1_pre_ff(k1_nat_1(P,1)) ) ) ) ) )).
fof(s2_scpisort__e7_19__scpisort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_int_1(G) & v1_int_1(H) & v7_ordinal1(I) ) => ( ( ~ r1_xxreal_0(I,k5_numbers) & ~ r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) & ? [J] : ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & J = B & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(J,F),H),k1_funct_1(J,E)) ) & ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [L] : ( ( v1_relat_1(L) & v4_relat_1(L,k4_ordinal1) & v5_relat_1(L,u1_compos_1(k1_scmpds_2)) & v1_funct_1(L) & v1_partfun1(L,k4_ordinal1) ) => ( ( ? [M] : ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & M = K & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(M,F),H),k1_funct_1(M,E)) ) & k1_funct_1(K,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),K,L),D) = k1_funct_1(K,D) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),K,L),k2_scmpds_2(k1_funct_1(B,D),G)) = k6_xcmplx_0(k1_funct_1(K,k2_scmpds_2(k1_funct_1(B,D),G)),I) & r1_scmpds_6(C,K,L) & r2_scmpds_6(C,K,L) & ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),K,L)) & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(N,F),H),k1_funct_1(N,E)) ) ) ) ) ) ) ) => k6_scmpds_4(k2_scmpds_7(D,G,I,C),B,A) = k6_scmpds_4(k2_scmpds_7(D,G,I,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),B,A)),A) ) ) )).
fof(s2_setwiseo__e13_30__laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v7_ordinal1(C) & v7_ordinal1(D) & m1_subset_1(E,k5_finsub_1(k9_matrix_1(A))) & v1_funct_1(F) & v1_funct_2(F,E,k9_matrix_1(k7_nat_d(A,1))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,k9_matrix_1(k7_nat_d(A,1))))) & v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ( ( ! [H] : ( m1_subset_1(H,k5_finsub_1(k9_matrix_1(A))) => ! [I] : ( m1_subset_1(I,k5_finsub_1(k9_matrix_1(k7_nat_d(A,1)))) => ( ( H = k1_setwiseo(k9_matrix_1(A)) & I = k7_relat_1(F,H) & r1_tarski(H,E) ) => k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),H,k11_matrix_3(A,B,G)) = k8_group_1(B,k8_group_1(B,k1_laplace(B,k4_group_1(B),k4_algstr_0(B,k1_group_1(B)),k2_xcmplx_0(C,D)),k3_matrix_0(u1_struct_0(B),G,C,D)),k7_setwiseo(k9_matrix_1(k7_nat_d(A,1)),u1_struct_0(B),u1_algstr_0(B),I,k11_matrix_3(k7_nat_d(A,1),B,k2_laplace(C,D,A,B,G)))) ) ) ) & ! [J] : ( m1_subset_1(J,k5_finsub_1(k9_matrix_1(A))) => ! [K] : ( m1_subset_1(K,k9_matrix_1(A)) => ( ! [L] : ( m1_subset_1(L,k5_finsub_1(k9_matrix_1(A))) => ! [M] : ( m1_subset_1(M,k5_finsub_1(k9_matrix_1(k7_nat_d(A,1)))) => ( ( L = J & M = k7_relat_1(F,L) & r1_tarski(L,E) ) => k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),L,k11_matrix_3(A,B,G)) = k8_group_1(B,k8_group_1(B,k1_laplace(B,k4_group_1(B),k4_algstr_0(B,k1_group_1(B)),k2_xcmplx_0(C,D)),k3_matrix_0(u1_struct_0(B),G,C,D)),k7_setwiseo(k9_matrix_1(k7_nat_d(A,1)),u1_struct_0(B),u1_algstr_0(B),M,k11_matrix_3(k7_nat_d(A,1),B,k2_laplace(C,D,A,B,G)))) ) ) ) => ( r2_tarski(K,J) | ! [N] : ( m1_subset_1(N,k5_finsub_1(k9_matrix_1(A))) => ! [O] : ( m1_subset_1(O,k5_finsub_1(k9_matrix_1(k7_nat_d(A,1)))) => ( ( N = k2_xboole_0(J,k1_tarski(K)) & O = k7_relat_1(F,N) & r1_tarski(N,E) ) => k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),N,k11_matrix_3(A,B,G)) = k8_group_1(B,k8_group_1(B,k1_laplace(B,k4_group_1(B),k4_algstr_0(B,k1_group_1(B)),k2_xcmplx_0(C,D)),k3_matrix_0(u1_struct_0(B),G,C,D)),k7_setwiseo(k9_matrix_1(k7_nat_d(A,1)),u1_struct_0(B),u1_algstr_0(B),O,k11_matrix_3(k7_nat_d(A,1),B,k2_laplace(C,D,A,B,G)))) ) ) ) ) ) ) ) ) => ! [J] : ( m1_subset_1(J,k5_finsub_1(k9_matrix_1(A))) => ! [P] : ( m1_subset_1(P,k5_finsub_1(k9_matrix_1(A))) => ! [Q] : ( m1_subset_1(Q,k5_finsub_1(k9_matrix_1(k7_nat_d(A,1)))) => ( ( P = J & Q = k7_relat_1(F,P) & r1_tarski(P,E) ) => k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),P,k11_matrix_3(A,B,G)) = k8_group_1(B,k8_group_1(B,k1_laplace(B,k4_group_1(B),k4_algstr_0(B,k1_group_1(B)),k2_xcmplx_0(C,D)),k3_matrix_0(u1_struct_0(B),G,C,D)),k7_setwiseo(k9_matrix_1(k7_nat_d(A,1)),u1_struct_0(B),u1_algstr_0(B),Q,k11_matrix_3(k7_nat_d(A,1),B,k2_laplace(C,D,A,B,G)))) ) ) ) ) ) ) )).
fof(s2_setwiseo__e14_2_1_2__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),B))) & v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),B))) ) => ( ( ( r1_tarski(k1_setwiseo(A),C) => ( k1_setwiseo(A) = k1_xboole_0 | k1_funct_1(E,k1_setwiseo(A)) = k1_funct_1(D,k1_setwiseo(A)) ) ) & ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ! [G] : ( m1_subset_1(G,A) => ( ( r1_tarski(F,C) => ( F = k1_xboole_0 | k1_funct_1(E,F) = k1_funct_1(D,F) ) ) => ( r2_tarski(G,F) | ( r1_tarski(k2_xboole_0(F,k1_tarski(G)),C) => ( k2_xboole_0(F,k1_tarski(G)) = k1_xboole_0 | k1_funct_1(E,k2_xboole_0(F,k1_tarski(G))) = k1_funct_1(D,k2_xboole_0(F,k1_tarski(G))) ) ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ( r1_tarski(F,C) => ( F = k1_xboole_0 | k1_funct_1(E,F) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s2_setwiseo__e20_85__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) ) => ( ( ! [F] : ( m1_subset_1(F,k5_finsub_1(k9_matrix_1(A))) => ( F = k1_setwiseo(k9_matrix_1(A)) => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,F) = k8_group_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),D,F),k12_matrix_3(A,B,C)) ) ) & ! [G] : ( m1_subset_1(G,k5_finsub_1(k9_matrix_1(A))) => ! [H] : ( m1_subset_1(H,k9_matrix_1(A)) => ( ! [I] : ( m1_subset_1(I,k5_finsub_1(k9_matrix_1(A))) => ( I = G => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,I) = k8_group_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),D,I),k12_matrix_3(A,B,C)) ) ) => ( r2_tarski(H,G) | ! [J] : ( m1_subset_1(J,k5_finsub_1(k9_matrix_1(A))) => ( J = k2_xboole_0(G,k1_tarski(H)) => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,J) = k8_group_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),D,J),k12_matrix_3(A,B,C)) ) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k9_matrix_1(A))) => ! [K] : ( m1_subset_1(K,k5_finsub_1(k9_matrix_1(A))) => ( K = G => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),E,K) = k8_group_1(B,k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),D,K),k12_matrix_3(A,B,C)) ) ) ) ) ) )).
fof(s2_setwiseo__e4_138__pre_poly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ! [C] : ( m1_subset_1(C,A) => ( ~ r2_tarski(C,k1_setwiseo(A)) => k3_funct_2(A,k4_ordinal1,B,C) = k5_numbers ) ) => k1_card_1(k18_pre_poly(A,B)) = k7_setwiseo(A,k4_ordinal1,k24_binop_2,k1_setwiseo(A),k9_funcop_1(k4_ordinal1,A,k23_binop_2,B,1)) ) ) & ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( m1_subset_1(E,A) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ! [G] : ( m1_subset_1(G,A) => ( ~ r2_tarski(G,D) => k3_funct_2(A,k4_ordinal1,F,G) = k5_numbers ) ) => k1_card_1(k18_pre_poly(A,F)) = k7_setwiseo(A,k4_ordinal1,k24_binop_2,D,k9_funcop_1(k4_ordinal1,A,k23_binop_2,F,1)) ) ) => ( r2_tarski(E,D) | ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,k4_ordinal1) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ! [I] : ( m1_subset_1(I,A) => ( ~ r2_tarski(I,k2_xboole_0(D,k1_tarski(E))) => k3_funct_2(A,k4_ordinal1,H,I) = k5_numbers ) ) => k1_card_1(k18_pre_poly(A,H)) = k7_setwiseo(A,k4_ordinal1,k24_binop_2,k2_xboole_0(D,k1_tarski(E)),k9_funcop_1(k4_ordinal1,A,k23_binop_2,H,1)) ) ) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,A,k4_ordinal1) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ! [K] : ( m1_subset_1(K,A) => ( ~ r2_tarski(K,D) => k3_funct_2(A,k4_ordinal1,J,K) = k5_numbers ) ) => k1_card_1(k18_pre_poly(A,J)) = k7_setwiseo(A,k4_ordinal1,k24_binop_2,D,k9_funcop_1(k4_ordinal1,A,k23_binop_2,J,1)) ) ) ) ) ) )).
fof(s2_setwiseo__e4_24_2_1__kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_kolmog01(D,B,A,C) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(B)) & ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) & m2_kolmog01(G,A,C,B,F,D) ) => ( ( r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(F,C,G,k1_setwiseo(F)))),k9_prob_1(A,k3_kolmog01(B,E,A,C,k2_kolmog01(B,A,C,D,E)))) & ! [H] : ( m1_subset_1(H,k5_finsub_1(F)) => ! [I] : ( m1_subset_1(I,F) => ( r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(F,C,G,H))),k9_prob_1(A,k3_kolmog01(B,E,A,C,k2_kolmog01(B,A,C,D,E)))) => ( r2_tarski(I,H) | r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(F,C,G,k2_xboole_0(H,k1_tarski(I))))),k9_prob_1(A,k3_kolmog01(B,E,A,C,k2_kolmog01(B,A,C,D,E)))) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(F)) => r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(F,C,G,H))),k9_prob_1(A,k3_kolmog01(B,E,A,C,k2_kolmog01(B,A,C,D,E)))) ) ) ) )).
fof(s2_setwiseo__e4_26_1_1__kolmog01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_kolmog01(D,B,A,C) & ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m2_kolmog01(F,A,C,B,E,D) ) => ( ( r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(E,C,F,k1_setwiseo(E)))),C) & ! [G] : ( m1_subset_1(G,k5_finsub_1(E)) => ! [H] : ( m1_subset_1(H,E) => ( r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(E,C,F,G))),C) => ( r2_tarski(H,G) | r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(E,C,F,k2_xboole_0(G,k1_tarski(H))))),C) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(E)) => r2_tarski(k1_setfam_1(k2_relset_1(C,k2_partfun1(E,C,F,G))),C) ) ) ) )).
fof(s2_setwiseo__e4_4_1_1_2__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( ( k3_finsub_1(k5_finsub_1(A),C,k1_setwiseo(A)) = k1_xboole_0 => ( k1_setwiseo(A) = k1_xboole_0 | k7_setwiseo(A,B,D,k5_setwiseo(A,C,k1_setwiseo(A)),E) = k4_binop_1(B,D,k7_setwiseo(A,B,D,C,E),k7_setwiseo(A,B,D,k1_setwiseo(A),E)) ) ) & ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ! [G] : ( m1_subset_1(G,A) => ( ( k3_finsub_1(k5_finsub_1(A),C,F) = k1_xboole_0 => ( F = k1_xboole_0 | k7_setwiseo(A,B,D,k5_setwiseo(A,C,F),E) = k4_binop_1(B,D,k7_setwiseo(A,B,D,C,E),k7_setwiseo(A,B,D,F,E)) ) ) => ( r2_tarski(G,F) | ( k3_finsub_1(k5_finsub_1(A),C,k2_xboole_0(F,k1_tarski(G))) = k1_xboole_0 => ( k2_xboole_0(F,k1_tarski(G)) = k1_xboole_0 | k7_setwiseo(A,B,D,k5_setwiseo(A,C,k2_xboole_0(F,k1_tarski(G))),E) = k4_binop_1(B,D,k7_setwiseo(A,B,D,C,E),k7_setwiseo(A,B,D,k2_xboole_0(F,k1_tarski(G)),E)) ) ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ( k3_finsub_1(k5_finsub_1(A),C,F) = k1_xboole_0 => ( F = k1_xboole_0 | k7_setwiseo(A,B,D,k5_setwiseo(A,C,F),E) = k4_binop_1(B,D,k7_setwiseo(A,B,D,C,E),k7_setwiseo(A,B,D,F,E)) ) ) ) ) ) )).
fof(s2_setwiseo__e4_5__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) & v1_funct_1(F) & v1_funct_2(F,B,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( ( ~ ( k1_setwiseo(B) = k1_xboole_0 & ~ v1_setwiseo(D,C) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ( ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & k9_xtuple_0(H) = k1_setwiseo(B) & k10_xtuple_0(H) = G & v2_funct_1(H) & k2_partfun1(B,C,F,k1_setwiseo(B)) = k3_relat_1(H,E) ) => k7_setwiseo(B,C,D,k1_setwiseo(B),F) = k7_setwiseo(A,C,D,G,E) ) ) ) & ! [I] : ( m1_subset_1(I,k5_finsub_1(B)) => ! [J] : ( m1_subset_1(J,B) => ( ( ~ ( I = k1_xboole_0 & ~ v1_setwiseo(D,C) ) => ! [K] : ( m1_subset_1(K,k5_finsub_1(A)) => ( ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & k9_xtuple_0(L) = I & k10_xtuple_0(L) = K & v2_funct_1(L) & k2_partfun1(B,C,F,I) = k3_relat_1(L,E) ) => k7_setwiseo(B,C,D,I,F) = k7_setwiseo(A,C,D,K,E) ) ) ) => ( r2_tarski(J,I) | ( ~ ( k2_xboole_0(I,k1_tarski(J)) = k1_xboole_0 & ~ v1_setwiseo(D,C) ) => ! [M] : ( m1_subset_1(M,k5_finsub_1(A)) => ( ? [N] : ( v1_relat_1(N) & v1_funct_1(N) & k9_xtuple_0(N) = k2_xboole_0(I,k1_tarski(J)) & k10_xtuple_0(N) = M & v2_funct_1(N) & k2_partfun1(B,C,F,k2_xboole_0(I,k1_tarski(J))) = k3_relat_1(N,E) ) => k7_setwiseo(B,C,D,k2_xboole_0(I,k1_tarski(J)),F) = k7_setwiseo(A,C,D,M,E) ) ) ) ) ) ) ) ) => ! [I] : ( m1_subset_1(I,k5_finsub_1(B)) => ( ~ ( I = k1_xboole_0 & ~ v1_setwiseo(D,C) ) => ! [O] : ( m1_subset_1(O,k5_finsub_1(A)) => ( ? [P] : ( v1_relat_1(P) & v1_funct_1(P) & k9_xtuple_0(P) = I & k10_xtuple_0(P) = O & v2_funct_1(P) & k2_partfun1(B,C,F,I) = k3_relat_1(P,E) ) => k7_setwiseo(B,C,D,I,F) = k7_setwiseo(A,C,D,O,E) ) ) ) ) ) ) )).
fof(s2_setwiseo__e6_137_1_2__group_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) ) => ( ( ~ ( ! [C] : ~ ( r2_tarski(C,k1_setwiseo(B)) & ! [D] : ( v1_finset_1(D) => ~ ( D = C & k4_card_1(D) = A & ! [E] : ( r2_tarski(E,k1_setwiseo(B)) => ( C = E | ( r2_wellord2(C,E) & r1_xboole_0(C,E) ) ) ) ) ) ) & ! [C] : ( v1_finset_1(C) => ~ ( C = k3_tarski(k1_setwiseo(B)) & k4_card_1(C) = k3_xcmplx_0(A,k4_card_1(k1_setwiseo(B))) ) ) ) & ! [F] : ( m1_subset_1(F,k5_finsub_1(B)) => ! [G] : ( m1_subset_1(G,B) => ( ~ ( ! [H] : ~ ( r2_tarski(H,F) & ! [I] : ( v1_finset_1(I) => ~ ( I = H & k4_card_1(I) = A & ! [J] : ( r2_tarski(J,F) => ( H = J | ( r2_wellord2(H,J) & r1_xboole_0(H,J) ) ) ) ) ) ) & ! [H] : ( v1_finset_1(H) => ~ ( H = k3_tarski(F) & k4_card_1(H) = k3_xcmplx_0(A,k4_card_1(F)) ) ) ) => ( r2_tarski(G,F) | ~ ( ! [K] : ~ ( r2_tarski(K,k2_xboole_0(F,k1_tarski(G))) & ! [L] : ( v1_finset_1(L) => ~ ( L = K & k4_card_1(L) = A & ! [M] : ( r2_tarski(M,k2_xboole_0(F,k1_tarski(G))) => ( K = M | ( r2_wellord2(K,M) & r1_xboole_0(K,M) ) ) ) ) ) ) & ! [K] : ( v1_finset_1(K) => ~ ( K = k3_tarski(k2_xboole_0(F,k1_tarski(G))) & k4_card_1(K) = k3_xcmplx_0(A,k4_card_1(k2_xboole_0(F,k1_tarski(G)))) ) ) ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k5_finsub_1(B)) => ~ ( ! [N] : ~ ( r2_tarski(N,F) & ! [O] : ( v1_finset_1(O) => ~ ( O = N & k4_card_1(O) = A & ! [P] : ( r2_tarski(P,F) => ( N = P | ( r2_wellord2(N,P) & r1_xboole_0(N,P) ) ) ) ) ) ) & ! [N] : ( v1_finset_1(N) => ~ ( N = k3_tarski(F) & k4_card_1(N) = k3_xcmplx_0(A,k4_card_1(F)) ) ) ) ) ) ) )).
fof(s2_setwiseo__e6_8__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( ( k8_setwiseo(A,B,E,k1_setwiseo(A)) = k1_tarski(C) => k7_setwiseo(A,B,D,k1_setwiseo(A),E) = C ) & ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ! [G] : ( m1_subset_1(G,A) => ( ( k8_setwiseo(A,B,E,F) = k1_tarski(C) => k7_setwiseo(A,B,D,F,E) = C ) => ( r2_tarski(G,F) | ( k8_setwiseo(A,B,E,k2_xboole_0(F,k1_tarski(G))) = k1_tarski(C) => k7_setwiseo(A,B,D,k2_xboole_0(F,k1_tarski(G)),E) = C ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ( k8_setwiseo(A,B,E,F) = k1_tarski(C) => k7_setwiseo(A,B,D,F,E) = C ) ) ) ) )).
fof(s2_setwiseo__e7_13__laplace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) & v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(B),C))) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ( ( ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ( ( G = k1_setwiseo(A) & ! [H] : ! [I] : ( ( r2_hidden(H,G) & r2_hidden(I,G) ) => ( r1_xboole_0(k1_funct_1(D,H),k1_funct_1(D,I)) | H = I ) ) ) => ( k7_setwiseo(A,C,F,G,k1_partfun1(A,k5_finsub_1(B),k5_finsub_1(B),C,D,E)) = k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,G),E) & k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,G),E) = k1_funct_1(E,k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,G))) & m1_subset_1(k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,G)),k5_finsub_1(B)) ) ) ) & ! [J] : ( m1_subset_1(J,k5_finsub_1(A)) => ! [K] : ( m1_subset_1(K,A) => ( ! [L] : ( m1_subset_1(L,k5_finsub_1(A)) => ( ( L = J & ! [M] : ! [N] : ( ( r2_hidden(M,L) & r2_hidden(N,L) ) => ( r1_xboole_0(k1_funct_1(D,M),k1_funct_1(D,N)) | M = N ) ) ) => ( k7_setwiseo(A,C,F,L,k1_partfun1(A,k5_finsub_1(B),k5_finsub_1(B),C,D,E)) = k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,L),E) & k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,L),E) = k1_funct_1(E,k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,L))) & m1_subset_1(k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,L)),k5_finsub_1(B)) ) ) ) => ( r2_tarski(K,J) | ! [O] : ( m1_subset_1(O,k5_finsub_1(A)) => ( ( O = k2_xboole_0(J,k1_tarski(K)) & ! [P] : ! [Q] : ( ( r2_hidden(P,O) & r2_hidden(Q,O) ) => ( r1_xboole_0(k1_funct_1(D,P),k1_funct_1(D,Q)) | P = Q ) ) ) => ( k7_setwiseo(A,C,F,O,k1_partfun1(A,k5_finsub_1(B),k5_finsub_1(B),C,D,E)) = k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,O),E) & k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,O),E) = k1_funct_1(E,k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,O))) & m1_subset_1(k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,O)),k5_finsub_1(B)) ) ) ) ) ) ) ) ) => ! [J] : ( m1_subset_1(J,k5_finsub_1(A)) => ! [R] : ( m1_subset_1(R,k5_finsub_1(A)) => ( ( R = J & ! [S] : ! [T] : ( ( r2_hidden(S,R) & r2_hidden(T,R) ) => ( r1_xboole_0(k1_funct_1(D,S),k1_funct_1(D,T)) | S = T ) ) ) => ( k7_setwiseo(A,C,F,R,k1_partfun1(A,k5_finsub_1(B),k5_finsub_1(B),C,D,E)) = k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,R),E) & k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,R),E) = k1_funct_1(E,k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,R))) & m1_subset_1(k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,R)),k5_finsub_1(B)) ) ) ) ) ) ) )).
fof(s2_setwiseo__e8_13__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k4_binop_1(B,E,C,k7_setwiseo(A,B,D,k1_setwiseo(A),F)) = k7_setwiseo(A,B,D,k1_setwiseo(A),k10_funcop_1(B,A,E,C,F)) & ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ! [H] : ( m1_subset_1(H,A) => ( k4_binop_1(B,E,C,k7_setwiseo(A,B,D,G,F)) = k7_setwiseo(A,B,D,G,k10_funcop_1(B,A,E,C,F)) => ( r2_tarski(H,G) | k4_binop_1(B,E,C,k7_setwiseo(A,B,D,k2_xboole_0(G,k1_tarski(H)),F)) = k7_setwiseo(A,B,D,k2_xboole_0(G,k1_tarski(H)),k10_funcop_1(B,A,E,C,F)) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => k4_binop_1(B,E,C,k7_setwiseo(A,B,D,G,F)) = k7_setwiseo(A,B,D,G,k10_funcop_1(B,A,E,C,F)) ) ) ) )).
fof(s2_setwiseo__e8_14__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k4_binop_1(B,E,k7_setwiseo(A,B,D,k1_setwiseo(A),F),C) = k7_setwiseo(A,B,D,k1_setwiseo(A),k9_funcop_1(B,A,E,F,C)) & ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ! [H] : ( m1_subset_1(H,A) => ( k4_binop_1(B,E,k7_setwiseo(A,B,D,G,F),C) = k7_setwiseo(A,B,D,G,k9_funcop_1(B,A,E,F,C)) => ( r2_tarski(H,G) | k4_binop_1(B,E,k7_setwiseo(A,B,D,k2_xboole_0(G,k1_tarski(H)),F),C) = k7_setwiseo(A,B,D,k2_xboole_0(G,k1_tarski(H)),k9_funcop_1(B,A,E,F,C)) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => k4_binop_1(B,E,k7_setwiseo(A,B,D,G,F),C) = k7_setwiseo(A,B,D,G,k9_funcop_1(B,A,E,F,C)) ) ) ) )).
fof(s2_setwiseo__e8_17__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) & v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( k3_funct_2(B,C,G,k7_setwiseo(A,B,D,k1_setwiseo(A),E)) = k7_setwiseo(A,C,F,k1_setwiseo(A),k1_partfun1(A,B,B,C,E,G)) & ! [H] : ( m1_subset_1(H,k5_finsub_1(A)) => ! [I] : ( m1_subset_1(I,A) => ( k3_funct_2(B,C,G,k7_setwiseo(A,B,D,H,E)) = k7_setwiseo(A,C,F,H,k1_partfun1(A,B,B,C,E,G)) => ( r2_tarski(I,H) | k3_funct_2(B,C,G,k7_setwiseo(A,B,D,k2_xboole_0(H,k1_tarski(I)),E)) = k7_setwiseo(A,C,F,k2_xboole_0(H,k1_tarski(I)),k1_partfun1(A,B,B,C,E,G)) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(A)) => k3_funct_2(B,C,G,k7_setwiseo(A,B,D,H,E)) = k7_setwiseo(A,C,F,H,k1_partfun1(A,B,B,C,E,G)) ) ) ) )).
fof(s2_setwiseo__e8_9__setwop_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k4_binop_1(B,D,k7_setwiseo(A,B,C,k1_setwiseo(A),E),k7_setwiseo(A,B,C,k1_setwiseo(A),F)) = k7_setwiseo(A,B,C,k1_setwiseo(A),k6_funcop_1(B,A,D,E,F)) & ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ! [H] : ( m1_subset_1(H,A) => ( k4_binop_1(B,D,k7_setwiseo(A,B,C,G,E),k7_setwiseo(A,B,C,G,F)) = k7_setwiseo(A,B,C,G,k6_funcop_1(B,A,D,E,F)) => ( r2_tarski(H,G) | k4_binop_1(B,D,k7_setwiseo(A,B,C,k2_xboole_0(G,k1_tarski(H)),E),k7_setwiseo(A,B,C,k2_xboole_0(G,k1_tarski(H)),F)) = k7_setwiseo(A,B,C,k2_xboole_0(G,k1_tarski(H)),k6_funcop_1(B,A,D,E,F)) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => k4_binop_1(B,D,k7_setwiseo(A,B,C,G,E),k7_setwiseo(A,B,C,G,F)) = k7_setwiseo(A,B,C,G,k6_funcop_1(B,A,D,E,F)) ) ) ) )).
fof(s2_sppol_1__e2_26__sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => v1_finset_1(a_1_2_sppol_1(A)) ) )).
fof(s2_stacks_1__e1_7__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,A),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,A),C))) & ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,A) => k2_binop_1(B,A,C,E,F,G) = k2_binop_1(A,B,C,D,G,F) ) ) ) ) )).
fof(s2_stirl2_1__e14_81_2_1_1_2_1_1_2__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) & ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) & m1_subset_1(G,k1_zfmisc_1(k4_ordinal1)) & v1_funct_1(H) & v1_funct_2(H,G,F) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(G,F))) ) => ( ( ! [I] : ( r2_tarski(I,k6_subset_1(A,G)) => r2_hidden(k1_funct_1(C,k3_nat_1(D)),E) ) & r1_tarski(G,A) & r1_tarski(F,E) & ( v1_xboole_0(F) => v1_xboole_0(G) ) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,A,E) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,E))) & k2_partfun1(A,E,I,G) = H & ! [J] : ( r2_tarski(J,k6_subset_1(A,G)) => k1_funct_1(I,J) = k1_funct_1(C,k3_nat_1(D)) ) ) ) ) )).
fof(s2_stirl2_1__e6_72__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( ! [F] : ( r2_tarski(F,k6_subset_1(k2_xboole_0(A,k1_tarski(C)),A)) => r2_hidden(D,k2_xboole_0(B,k1_tarski(D))) ) & r1_tarski(A,k2_xboole_0(A,k1_tarski(C))) & r1_tarski(B,k2_xboole_0(B,k1_tarski(D))) & ( v1_xboole_0(B) => v1_xboole_0(A) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D))))) & k2_partfun1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D)),F,A) = E & ! [G] : ( r2_tarski(G,k6_subset_1(k2_xboole_0(A,k1_tarski(C)),A)) => k1_funct_1(F,G) = D ) ) ) ) )).
fof(s2_substut2__e3_17__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m1_henmodel(C,A,B) ) => ( ( ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_xxreal_0(k7_cqc_sim1(A,D),k5_numbers) => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),D,C,k3_henmodel(A)) <=> r1_henmodel(A,B,D) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_xxreal_0(k7_cqc_sim1(A,E),D) => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),E,C,k3_henmodel(A)) <=> r1_henmodel(A,B,E) ) ) ) ) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_xxreal_0(k7_cqc_sim1(A,E),k1_nat_1(D,1)) => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),E,C,k3_henmodel(A)) <=> r1_henmodel(A,B,E) ) ) ) ) ) ) ) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),D,C,k3_henmodel(A)) <=> r1_henmodel(A,B,D) ) ) ) ) ) )).
fof(s2_trees_2__e1_11__rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => r1_ordinal1(k1_card_1(a_3_0_rlaffin1(A,B,C)),k1_card_1(B)) ) )).
fof(s2_trees_2__e1_18__rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(C) ) => r1_ordinal1(k1_card_1(a_3_6_rlaffin3(A,B,C)),k1_card_1(B)) ) )).
fof(s2_trees_2__e26_66__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_finset_1(B) & v1_card_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_1(D) & v1_funct_2(D,B,k2_tarski(k1_xboole_0,1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k2_tarski(k1_xboole_0,1)))) ) => r1_ordinal1(k1_card_1(a_4_3_card_fil(A,B,C,D)),k1_card_1(B)) ) )).
fof(s2_trees_2__e2_35_1_2__card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,A) ) => r1_ordinal1(k1_card_1(a_3_5_card_lar(A,B,C)),k1_card_1(B)) ) )).
fof(s2_trees_2__e2_46__topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => r1_ordinal1(k1_card_1(a_3_2_topgen_4(A,B,C)),k1_card_1(k2_zfmisc_1(B,C))) ) )).
fof(s2_trees_2__e2_62_2__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)))) & m1_subset_1(C,A) ) => r1_ordinal1(k1_card_1(a_3_9_card_fil(A,B,C)),k1_card_1(k2_zfmisc_1(k6_card_fil(A),k1_tarski(C)))) ) )).
fof(s2_trees_2__e3_1__waybel12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,k4_ordinal1) ) => r1_ordinal1(k1_card_1(a_3_3_waybel12(A,B,C)),k1_card_1(k1_finsub_1(k1_zfmisc_1(k4_ordinal1),k6_domain_1(k4_ordinal1,k5_numbers),k2_finseq_1(C)))) ) )).
fof(s2_trees_2__e3_45__topgen_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => r1_ordinal1(k1_card_1(a_3_1_topgen_4(A,B,C)),k1_card_1(k2_zfmisc_1(B,C))) ) )).
fof(s2_trees_2__e3_46_1_2__card_lar,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_ordinal1(k1_card_1(a_1_3_card_lar(A)),k1_card_1(A)) ) )).
fof(s2_trees_2__e3_62_3__card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_funct_1(B) & v1_funct_2(B,A,k6_card_fil(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_card_fil(A)))) ) => r1_ordinal1(k1_card_1(a_2_6_card_fil(A,B)),k1_card_1(k6_card_fil(A))) ) )).
fof(s2_trees_2__e5_20__card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => r1_ordinal1(k1_card_1(a_2_1_card_fil(A,B)),k1_card_1(B)) ) )).
fof(s2_trees_2__e5_49_2_1_2_1_2__card_lar,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_ordinal1(k1_card_1(a_1_4_card_lar(A)),k1_card_1(A)) ) )).
fof(s2_trees_2__e7_102_2__ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v3_ordinal6(B) & v3_ordinal1(C) & v3_ordinal1(D) & ~ v1_xboole_0(D) & m1_subset_1(D,A) ) => r1_ordinal1(k1_card_1(a_4_0_ordinal6(A,B,C,D)),k1_card_1(D)) ) )).
fof(s2_waybel17__e5_34__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_3_waybel17(A,D)) = a_4_9_waybel17(A,B,C,D) ) ) )).
fof(s2_waybel17__e5_36_1__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v24_waybel_0(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_5_waybel17(A,D)) = a_4_11_waybel17(A,B,C,D) ) ) )).
fof(s2_waybel17__e6_35__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v24_waybel_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_4_waybel17(A,D)) = a_4_10_waybel17(A,B,C,D) ) ) )).
fof(s2_waybel17__e6_61_1__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_11_waybel17(A,D)) = a_4_13_waybel17(A,B,C,D) ) ) )).
fof(s2_waybel17__e7_35__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v24_waybel_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_4_waybel17(A,D)) = a_4_10_waybel17(A,B,C,D) ) ) )).
fof(s2_waybel17__e8_61_1__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(C)) => k7_relat_1(C,a_2_11_waybel17(A,D)) = a_4_13_waybel17(A,B,C,D) ) ) )).
fof(s2_waybel24__e4_9__waybel24,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,C,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r3_orders_2(A,C,D) & r2_tarski(D,k6_domain_1(u1_struct_0(A),B)) ) ) ) => a_2_0_waybel24(A,B) = a_2_1_waybel24(A,B) ) ) )).
fof(s2_wellfnd1__e10_24_2_1__wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) & m1_subset_1(E,u1_struct_0(A)) ) => ( ( r2_tarski(E,k1_relset_1(u1_struct_0(A),C)) & r2_tarski(E,k1_relset_1(u1_struct_0(A),D)) & k1_funct_1(C,E) != k1_funct_1(D,E) & v1_wellfnd1(A) ) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),C)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),D)) & k1_funct_1(C,F) != k1_funct_1(D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( F != G & r2_tarski(G,k1_relset_1(u1_struct_0(A),C)) & r2_tarski(G,k1_relset_1(u1_struct_0(A),D)) & k1_funct_1(C,G) != k1_funct_1(D,G) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,F),u1_orders_2(A)) ) ) ) ) ) )).
fof(s2_wellfnd1__e10_26__wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v1_wellfnd1(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) & m1_subset_1(E,u1_struct_0(A)) ) => ( ( k1_funct_1(C,E) != k1_funct_1(D,E) & v1_wellfnd1(A) ) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k1_funct_1(C,F) != k1_funct_1(D,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( F != G & k1_funct_1(C,G) != k1_funct_1(D,G) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),G,F),u1_orders_2(A)) ) ) ) ) ) )).
fof(s2_wellfnd1__e6_24_2_6__wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r2_tarski(C,u1_struct_0(A)) & ~ r2_tarski(C,k9_xtuple_0(B)) & v1_wellfnd1(A) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,u1_struct_0(A)) & ~ r2_tarski(D,k9_xtuple_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( D != E & r2_tarski(E,u1_struct_0(A)) & ~ r2_tarski(E,k9_xtuple_0(B)) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),E,D),u1_orders_2(A)) ) ) ) ) ) )).
fof(s2_wellfnd1__e9_21_1__wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r2_tarski(C,u1_struct_0(A)) & ~ r2_tarski(C,B) & v1_wellfnd1(A) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,u1_struct_0(A)) & ~ r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( D != E & r2_tarski(E,u1_struct_0(A)) & ~ r2_tarski(E,B) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),E,D),u1_orders_2(A)) ) ) ) ) ) )).
fof(s2_xboole_0__e4_29__funct_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( ! [C] : ( r2_hidden(C,k9_xtuple_0(k2_funct_5(B))) <=> ? [D] : ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ? [F] : ( C = k4_tarski(D,F) & r2_hidden(D,k9_xtuple_0(B)) & E = k1_funct_1(B,D) & r2_hidden(F,k9_xtuple_0(E)) ) ) ) & ! [C] : ( r2_hidden(C,k2_zfmisc_1(k9_xtuple_0(B),A)) <=> ? [G] : ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & ? [I] : ( C = k4_tarski(G,I) & r2_hidden(G,k9_xtuple_0(B)) & H = k1_funct_1(B,G) & r2_hidden(I,k9_xtuple_0(H)) ) ) ) ) => k9_xtuple_0(k2_funct_5(B)) = k2_zfmisc_1(k9_xtuple_0(B),A) ) ) )).
fof(s2_xboole_0__e4_5__ordinal3,axiom,( ! [A] : ( ( ! [B] : ( r2_hidden(B,k2_ordinal1(A)) <=> ( r2_hidden(B,A) & v3_ordinal1(B) ) ) & ! [B] : ( r2_hidden(B,A) <=> ( r2_hidden(B,A) & v3_ordinal1(B) ) ) ) => k2_ordinal1(A) = A ) )).
fof(s2_xboole_0__e4_67__yellow_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) ) => ( ( ! [C] : ( r2_hidden(C,k5_yellow_6(A)) <=> ? [D] : ( ~ v2_struct_0(D) & v4_orders_2(D) & v6_waybel_0(D,B) & v7_waybel_0(D) & l1_waybel_0(D,B) & D = C & r2_tarski(u1_struct_0(D),k1_yellow_6(u1_struct_0(B))) ) ) & ! [C] : ( r2_hidden(C,k5_yellow_6(B)) <=> ? [E] : ( ~ v2_struct_0(E) & v4_orders_2(E) & v6_waybel_0(E,B) & v7_waybel_0(E) & l1_waybel_0(E,B) & E = C & r2_tarski(u1_struct_0(E),k1_yellow_6(u1_struct_0(B))) ) ) ) => k5_yellow_6(A) = k5_yellow_6(B) ) ) )).
fof(s2_xfamily__e4_72__waybel11,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & l1_struct_0(B) ) => ( ( ! [C] : ( r2_tarski(C,k5_yellow_6(A)) <=> ? [D] : ( ~ v2_struct_0(D) & v4_orders_2(D) & v6_waybel_0(D,B) & v7_waybel_0(D) & l1_waybel_0(D,B) & D = C & r2_tarski(u1_struct_0(D),k1_yellow_6(u1_struct_0(B))) ) ) & ! [C] : ( r2_tarski(C,k5_yellow_6(B)) <=> ? [E] : ( ~ v2_struct_0(E) & v4_orders_2(E) & v6_waybel_0(E,B) & v7_waybel_0(E) & l1_waybel_0(E,B) & E = C & r2_tarski(u1_struct_0(E),k1_yellow_6(u1_struct_0(B))) ) ) ) => k5_yellow_6(A) = k5_yellow_6(B) ) ) )).
fof(s2_yellow16__e1_59_3__yellow16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_yellow_0(B,A) & v4_waybel_0(B,A) & m1_yellow_0(B,A) & ~ v1_xboole_0(C) ) => ( ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(C,B)))) => ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,k5_yellow_1(C,B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(C,B)))) ) => ! [E] : ( m1_subset_1(E,C) => ( ~ v1_xboole_0(k1_yellow16(C,B,E,D)) & v1_waybel_0(k1_yellow16(C,B,E,D),B) & m1_subset_1(k1_yellow16(C,B,E,D),k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => r5_yellow16(B,A,D) ) ) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(C,B)))) => ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,k5_yellow_1(C,B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(C,B)))) ) => r5_yellow16(k5_yellow_1(C,B),k5_yellow_1(C,A),D) ) ) ) ) )).
fof(s2_yellow18__e5_27__yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & l2_altcat_1(B) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( k1_altcat_1(B,C,D) != k1_xboole_0 & k1_altcat_1(B,D,E) != k1_xboole_0 & ~ ! [F] : ( m1_subset_1(F,k1_altcat_1(B,C,D)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(B,D,E)) => k5_altcat_1(B,C,D,E,F,G) = k1_binop_1(k1_multop_1(u2_altcat_1(A),E,D,C),F,G) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ! [H] : ! [I] : ( ( r2_tarski(G,k1_altcat_1(B,C,D)) & r2_tarski(H,k1_altcat_1(B,D,E)) & r2_tarski(I,k1_altcat_1(B,E,F)) ) => k1_binop_1(k1_multop_1(u2_altcat_1(A),F,E,C),k1_binop_1(k1_multop_1(u2_altcat_1(A),E,D,C),G,H),I) = k1_binop_1(k1_multop_1(u2_altcat_1(A),F,D,C),G,k1_binop_1(k1_multop_1(u2_altcat_1(A),F,E,D),H,I)) ) ) ) ) ) ) => v11_altcat_1(B) ) ) )).
fof(s2_yellow_9__e12_13_2_1__waybel19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( D = a_3_0_waybel19(A,B,C) => k7_setfam_1(u1_struct_0(B),D) = a_3_1_waybel19(A,B,C) ) ) )).
fof(s2_yellow_9__e18_13_2__waybel19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( D = a_3_0_waybel19(A,B,C) => k7_setfam_1(u1_struct_0(B),D) = a_3_1_waybel19(A,B,C) ) ) )).
fof(s2_zf_refle__e8_30_1__zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ? [E] : ( v3_ordinal1(E) & m1_subset_1(E,A) & E = k3_ordinal2(k7_relat_1(C,k9_funct_2(k1_zf_lang,k5_zf_refle(A,B,D)))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => k4_ordinal4(A,D,E) = k3_ordinal2(k7_relat_1(C,k9_funct_2(k1_zf_lang,k5_zf_refle(A,B,E)))) ) ) ) ) )).
fof(s3_abcmiz_a__e4_46__abcmiz_a,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_abcmiz_1)) ) => ( ( ! [B] : ! [C] : ~ ( r2_tarski(B,A) & r2_tarski(C,A) & r2_tarski(B,k1_xfamily(C)) & r2_tarski(C,k1_xfamily(B)) ) & ! [B] : ! [C] : ! [D] : ( ( r2_tarski(B,A) & r2_tarski(C,A) & r2_tarski(D,A) & r2_tarski(B,k1_xfamily(C)) & r2_tarski(C,k1_xfamily(D)) ) => r2_tarski(B,k1_xfamily(D)) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) & v1_finseq_1(B) & k10_xtuple_0(B) = A & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k1_funct_1(B,C),k1_xfamily(k1_funct_1(B,D))) & r1_xxreal_0(D,C) ) ) ) ) ) ) )).
fof(s3_absred_0__e5_12__absred_0,axiom,( ! [A] : ! [B] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,C,D) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_absred_0(A,D,E) & r3_absred_0(A,E,B) ) ) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_absred_0(A,C,F) & r3_absred_0(A,F,B) ) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_absred_0(A,C,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r1_absred_0(A,D,G) & r3_absred_0(A,G,B) ) ) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r1_absred_0(A,C,H) & r3_absred_0(A,H,B) ) ) ) ) ) ) )).
fof(s3_afinsq_1__e14_10__scmfsa7b,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & m1_scmfsa_2(C) & m2_finseq_1(D,k4_numbers) & v1_relat_1(E) & v5_relat_1(E,k8_afinsq_1(u1_compos_1(k1_scmfsa_2))) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ( ( ~ ( r1_tarski(k1_xboole_0,E) & ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k8_afinsq_1(u1_compos_1(k1_scmfsa_2))) & v5_ordinal1(F) & v1_funct_1(F) & v1_finset_1(F) ) => ~ ( F = k1_xboole_0 & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(G,k1_afinsq_1(k14_afinsq_1(u1_compos_1(k1_scmfsa_2),k1_ordinal4(k2_scmfsa_7(k4_scmfsa_2(1),k3_finseq_1(D)),k5_afinsq_1(k17_scmfsa_2(k4_scmfsa_2(1),C))),k8_afinsq_2(u1_compos_1(k1_scmfsa_2),F)))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,G)) = G ) ) ) ) ) & ! [H] : ( ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & v1_finset_1(H) ) => ! [I] : ( ~ ( r1_tarski(H,E) & ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k8_afinsq_1(u1_compos_1(k1_scmfsa_2))) & v5_ordinal1(J) & v1_funct_1(J) & v1_finset_1(J) ) => ~ ( J = H & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( r1_xxreal_0(K,k1_afinsq_1(k14_afinsq_1(u1_compos_1(k1_scmfsa_2),k1_ordinal4(k2_scmfsa_7(k4_scmfsa_2(1),k3_finseq_1(D)),k5_afinsq_1(k17_scmfsa_2(k4_scmfsa_2(1),C))),k8_afinsq_2(u1_compos_1(k1_scmfsa_2),J)))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,K)) = K ) ) ) ) ) => ~ ( r1_tarski(k1_ordinal4(H,k5_afinsq_1(I)),E) & ! [L] : ( ( v1_relat_1(L) & v5_relat_1(L,k8_afinsq_1(u1_compos_1(k1_scmfsa_2))) & v5_ordinal1(L) & v1_funct_1(L) & v1_finset_1(L) ) => ~ ( L = k1_ordinal4(H,k5_afinsq_1(I)) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r1_xxreal_0(M,k1_afinsq_1(k14_afinsq_1(u1_compos_1(k1_scmfsa_2),k1_ordinal4(k2_scmfsa_7(k4_scmfsa_2(1),k3_finseq_1(D)),k5_afinsq_1(k17_scmfsa_2(k4_scmfsa_2(1),C))),k8_afinsq_2(u1_compos_1(k1_scmfsa_2),L)))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,M)) = M ) ) ) ) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & v1_finset_1(H) ) => ~ ( r1_tarski(H,E) & ! [N] : ( ( v1_relat_1(N) & v5_relat_1(N,k8_afinsq_1(u1_compos_1(k1_scmfsa_2))) & v5_ordinal1(N) & v1_funct_1(N) & v1_finset_1(N) ) => ~ ( N = H & ! [O] : ( m1_subset_1(O,k4_ordinal1) => ( r1_xxreal_0(O,k1_afinsq_1(k14_afinsq_1(u1_compos_1(k1_scmfsa_2),k1_ordinal4(k2_scmfsa_7(k4_scmfsa_2(1),k3_finseq_1(D)),k5_afinsq_1(k17_scmfsa_2(k4_scmfsa_2(1),C))),k8_afinsq_2(u1_compos_1(k1_scmfsa_2),N)))) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,O)) = O ) ) ) ) ) ) ) ) )).
fof(s3_afinsq_1__e3_75__afinsq_1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ~ ( k1_ordinal4(A,B) = k1_ordinal4(k1_xboole_0,C) & r1_xxreal_0(k1_afinsq_1(A),k1_afinsq_1(k1_xboole_0)) & ! [D] : ( ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) ) => k1_ordinal4(A,D) != k1_xboole_0 ) ) ) ) ) & ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ! [F] : ( ! [G] : ( ( v1_relat_1(G) & v5_ordinal1(G) & v1_funct_1(G) & v1_finset_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v5_ordinal1(H) & v1_funct_1(H) & v1_finset_1(H) ) => ! [I] : ( ( v1_relat_1(I) & v5_ordinal1(I) & v1_funct_1(I) & v1_finset_1(I) ) => ~ ( k1_ordinal4(G,H) = k1_ordinal4(E,I) & r1_xxreal_0(k1_afinsq_1(G),k1_afinsq_1(E)) & ! [J] : ( ( v1_relat_1(J) & v5_ordinal1(J) & v1_funct_1(J) & v1_finset_1(J) ) => k1_ordinal4(G,J) != E ) ) ) ) ) => ! [K] : ( ( v1_relat_1(K) & v5_ordinal1(K) & v1_funct_1(K) & v1_finset_1(K) ) => ! [L] : ( ( v1_relat_1(L) & v5_ordinal1(L) & v1_funct_1(L) & v1_finset_1(L) ) => ! [M] : ( ( v1_relat_1(M) & v5_ordinal1(M) & v1_funct_1(M) & v1_finset_1(M) ) => ~ ( k1_ordinal4(K,L) = k1_ordinal4(k1_ordinal4(E,k5_afinsq_1(F)),M) & r1_xxreal_0(k1_afinsq_1(K),k1_afinsq_1(k1_ordinal4(E,k5_afinsq_1(F)))) & ! [N] : ( ( v1_relat_1(N) & v5_ordinal1(N) & v1_funct_1(N) & v1_finset_1(N) ) => k1_ordinal4(K,N) != k1_ordinal4(E,k5_afinsq_1(F)) ) ) ) ) ) ) ) ) => ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) ) => ! [O] : ( ( v1_relat_1(O) & v5_ordinal1(O) & v1_funct_1(O) & v1_finset_1(O) ) => ! [P] : ( ( v1_relat_1(P) & v5_ordinal1(P) & v1_funct_1(P) & v1_finset_1(P) ) => ! [Q] : ( ( v1_relat_1(Q) & v5_ordinal1(Q) & v1_funct_1(Q) & v1_finset_1(Q) ) => ~ ( k1_ordinal4(O,P) = k1_ordinal4(E,Q) & r1_xxreal_0(k1_afinsq_1(O),k1_afinsq_1(E)) & ! [R] : ( ( v1_relat_1(R) & v5_ordinal1(R) & v1_funct_1(R) & v1_finset_1(R) ) => k1_ordinal4(O,R) != E ) ) ) ) ) ) )).
fof(s3_afinsq_1__e3_76__ordinal5,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_ordinal2(A) ) => ( k1_xboole_0 = A => r1_ordinal1(k1_funct_1(A,k5_numbers),k4_ordinal5(A)) ) ) & ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) & v1_ordinal2(D) ) => ( B = D => r1_ordinal1(k1_funct_1(D,k5_numbers),k4_ordinal5(D)) ) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & v1_finset_1(E) & v1_ordinal2(E) ) => ( k1_ordinal4(B,k5_afinsq_1(C)) = E => r1_ordinal1(k1_funct_1(E,k5_numbers),k4_ordinal5(E)) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) & v1_ordinal2(F) ) => ( B = F => r1_ordinal1(k1_funct_1(F,k5_numbers),k4_ordinal5(F)) ) ) ) )).
fof(s3_afinsq_1__e4_75__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & v1_ordinal2(B) ) => ( B = k1_xboole_0 => k4_ordinal5(k1_ordinal4(k5_afinsq_1(A),B)) = k10_ordinal2(A,k4_ordinal5(B)) ) ) & ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [D] : ( ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & v1_finset_1(E) & v1_ordinal2(E) ) => ( E = C => k4_ordinal5(k1_ordinal4(k5_afinsq_1(A),E)) = k10_ordinal2(A,k4_ordinal5(E)) ) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v5_ordinal1(F) & v1_finset_1(F) & v1_ordinal2(F) ) => ( F = k1_ordinal4(C,k5_afinsq_1(D)) => k4_ordinal5(k1_ordinal4(k5_afinsq_1(A),F)) = k10_ordinal2(A,k4_ordinal5(F)) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v5_ordinal1(G) & v1_finset_1(G) & v1_ordinal2(G) ) => ( G = C => k4_ordinal5(k1_ordinal4(k5_afinsq_1(A),G)) = k10_ordinal2(A,k4_ordinal5(G)) ) ) ) ) ) )).
fof(s3_altcat_2__e5_38__hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( k6_hilbert4(A) = a_1_2_hilbert4(A) => k1_funct_1(k6_hilbert4(A),B) = k5_hilbert4(k1_funct_1(A,B)) ) ) )).
fof(s3_altcat_2__e8_29_2__functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & m1_subset_1(E,B) & m1_subset_1(F,k1_funct_1(D,E)) & v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & m1_subset_1(H,A) ) => ( G = a_6_0_functor0(A,B,C,D,E,F) => k1_funct_1(G,H) = k7_funcop_1(k1_funct_1(C,H),F) ) ) )).
fof(s3_altcat_2__e8_38__hilbert4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( k7_hilbert4(A) = a_1_3_hilbert4(A) => k1_funct_1(k7_hilbert4(A),B) = k9_xtuple_0(k5_hilbert4(k1_funct_1(A,B))) ) ) )).
fof(s3_aofa_000__e13_119__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_subset_1(E,u1_struct_0(A)) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) ) => ( ( ( r2_tarski(H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) <=> r1_xxreal_0(k21_aofa_i00(B,k4_numbers,H,F),k21_aofa_i00(B,k4_numbers,H,G)) ) & ! [I] : ( m1_subset_1(I,k9_funct_2(B,k4_numbers)) => ( r1_xxreal_0(k21_aofa_i00(B,k4_numbers,I,F),k21_aofa_i00(B,k4_numbers,I,G)) => ( ( r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),F),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),G)) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),F),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),G)) ) & ~ r1_xxreal_0(k10_subset_1(k6_xcmplx_0(k2_xcmplx_0(k21_aofa_i00(B,k4_numbers,I,G),1),k21_aofa_i00(B,k4_numbers,I,F)),k4_ordinal1),k10_subset_1(k6_xcmplx_0(k2_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),G),1),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G))),F)),k4_ordinal1)) ) ) ) ) => r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,E,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k74_aofa_i00(A,B,C,D,F,G)),k9_funct_2(B,k4_numbers),H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) )).
fof(s3_aofa_000__e15_130__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) ) => ( ( ( r2_tarski(H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) <=> ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,H,F),k5_numbers) ) & ! [I] : ( m1_subset_1(I,k9_funct_2(B,k4_numbers)) => ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,I,F),k5_numbers) => ( ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F),k5_numbers) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F),k5_numbers) ) & ~ r1_xxreal_0(k10_subset_1(k21_aofa_i00(B,k4_numbers,I,F),k4_ordinal1),k10_subset_1(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F),k4_ordinal1)) ) ) ) ) => r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers)),k9_funct_2(B,k4_numbers),H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) )).
fof(s3_aofa_000__e17_133__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) ) => ( ( ( r2_tarski(H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) <=> ( r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,H,E)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,H,F),k5_numbers) ) ) & ! [I] : ( m1_subset_1(I,k9_funct_2(B,k4_numbers)) => ( ( r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,I,E)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,I,F),k5_numbers) ) => ( ( ( r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),E)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F),k5_numbers) ) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => ( r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),E)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F),k5_numbers) ) ) & ~ r1_xxreal_0(k16_funcop_1(k4_ordinal1,k21_aofa_i00(B,k4_numbers,I,F),k5_numbers,k5_numbers,k16_funcop_1(k4_ordinal1,k21_aofa_i00(B,k4_numbers,I,E),k5_numbers,2,k16_funcop_1(k4_ordinal1,k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,I,F),1,k10_subset_1(k4_xxreal_0(k3_xcmplx_0(2,k21_aofa_i00(B,k4_numbers,I,E)),k2_xcmplx_0(k3_xcmplx_0(2,k21_aofa_i00(B,k4_numbers,I,F)),1)),k4_ordinal1)))),k16_funcop_1(k4_ordinal1,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F),k5_numbers,k5_numbers,k16_funcop_1(k4_ordinal1,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),E),k5_numbers,2,k16_funcop_1(k4_ordinal1,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F),1,k10_subset_1(k4_xxreal_0(k3_xcmplx_0(2,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),E)),k2_xcmplx_0(k3_xcmplx_0(2,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers))),F)),1)),k4_ordinal1))))) ) ) ) ) => r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers)),k9_funct_2(B,k4_numbers),H,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) )).
fof(s3_aofa_000__e18_100__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & l3_aofa_a00(F,A,C,u4_aofa_a00(A,B,C,E)) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(J,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(J,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(K,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(K,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & m1_aofa_000(L,F,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) & m2_subset_1(M,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) ) => ( ( ( r2_tarski(k3_aofa_a01(A,B,C,E,K,D,F,L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) <=> ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),G),J),k5_numbers) ) & ! [N] : ( m1_subset_1(N,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),N,G),J),k5_numbers) => ( ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)))),G),J),k5_numbers) => r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) ) & ( r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) => ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)))),G),J),k5_numbers) ) & ~ r1_xxreal_0(k10_subset_1(k1_funct_1(k1_msafree4(u1_struct_0(A),N,G),J),k4_ordinal1),k10_subset_1(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)))),G),J),k4_ordinal1)) ) ) ) ) => r4_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k3_aofa_a01(A,B,C,E,K,D,F,L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D)),L) ) ) )).
fof(s3_aofa_000__e20_137__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) ) => ( ( ( r2_tarski(k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k78_aofa_i00(A,B,C,D,G,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) <=> ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k78_aofa_i00(A,B,C,D,G,k5_numbers)),G),k5_numbers) ) & ! [I] : ( m1_subset_1(I,k9_funct_2(B,k4_numbers)) => ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,I,G),k5_numbers) => ( ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),G),k5_numbers) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),G),k5_numbers) ) & ~ r1_xxreal_0(k10_subset_1(k21_aofa_i00(B,k4_numbers,I,G),k4_ordinal1),k10_subset_1(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),G),k4_ordinal1)) ) ) ) ) => r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers)),k9_funct_2(B,k4_numbers),k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k78_aofa_i00(A,B,C,D,G,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) )).
fof(s3_aofa_000__e25_144__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & l3_aofa_a00(F,A,C,u4_aofa_a00(A,B,C,E)) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(J,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(J,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & v3_aofa_a01(K,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(K,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & m2_subset_1(L,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_aofa_000(M,F,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) ) => ( ( ( r2_tarski(k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) <=> ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),I)) ) ) & ! [N] : ( m1_subset_1(N,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),N,k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),N,G),I)) ) => ( ( ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,N,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)))),k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,N,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)))),G),I)) ) => r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,N,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) ) & ( r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,N,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) => ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,N,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)))),k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,N,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)))),G),I)) ) ) & ~ r1_xxreal_0(k10_subset_1(k6_xcmplx_0(k1_afinsq_1(k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J)),k1_funct_1(k1_msafree4(u1_struct_0(A),N,G),I)),k4_ordinal1),k10_subset_1(k6_xcmplx_0(k1_afinsq_1(k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J)),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,N,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)))),G),I)),k4_ordinal1)) ) ) ) ) => r4_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D)),M) ) ) )).
fof(s3_aofa_000__e5_145_1__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(G,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & ~ v2_struct_0(I) & v2_unialg_1(I) & v3_unialg_1(I) & v4_unialg_1(I) & v3_aofa_000(I) & v4_aofa_000(I) & v5_aofa_000(I) & v6_aofa_000(I) & ~ v10_aofa_000(I) & v11_aofa_000(I) & v12_aofa_000(I) & v5_aofa_a01(I,A,B,C,E) & l3_aofa_a00(I,A,C,u4_aofa_a00(A,B,C,E)) & m1_aofa_000(J,I,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),H,k2_aofa_a01(A,D))) & m1_subset_1(K,k1_funct_1(u3_msualg_1(A,C),F)) & m1_subset_1(L,u1_struct_0(I)) & m2_subset_1(M,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) ) => ( ( ( r2_tarski(k3_aofa_a01(A,B,C,E,H,D,I,J,M,k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),H,k2_aofa_a01(A,D))) <=> ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,F,K,k3_aofa_a01(A,B,C,E,H,D,I,J,M,k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,H,D,I,J,M,k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))),F),G)) ) & ! [N] : ( m1_subset_1(N,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,F,K,N),k1_funct_1(k1_msafree4(u1_struct_0(A),N,F),G)) => ( ( ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,F,K,k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))))),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),F),G)) => r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),H,k2_aofa_a01(A,D))) ) & ( r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),H,k2_aofa_a01(A,D))) => ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,F,K,k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))))),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),F),G)) ) & ~ r1_xxreal_0(k10_subset_1(k6_xcmplx_0(k14_aofa_a00(A,B,C,D,F,K,N),k1_funct_1(k1_msafree4(u1_struct_0(A),N,F),G)),k4_ordinal1),k10_subset_1(k6_xcmplx_0(k14_aofa_a00(A,B,C,D,F,K,k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))))),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(I),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),J,N,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),F),G)),k4_ordinal1)) ) ) ) ) => r4_aofa_000(I,k13_aofa_000(I,k13_aofa_000(I,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),I,F,G,k29_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k27_aofa_a00(A,C,F)))),k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k3_aofa_a01(A,B,C,E,H,D,I,J,M,k6_aofa_a01(A,B,C,E,I,H,F,K,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),H,k2_aofa_a01(A,D)),J) ) ) )).
fof(s3_aofa_000__e6_136_4__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) ) => ( ( ( r2_tarski(k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k78_aofa_i00(A,B,C,D,G,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) <=> ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k78_aofa_i00(A,B,C,D,G,k5_numbers)),G),k5_numbers) ) & ! [I] : ( m1_subset_1(I,k9_funct_2(B,k4_numbers)) => ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,I,G),k5_numbers) => ( ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),G),k5_numbers) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),G),k5_numbers) ) & ~ r1_xxreal_0(k10_subset_1(k21_aofa_i00(B,k4_numbers,I,G),k4_ordinal1),k10_subset_1(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,I,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers))),G),k4_ordinal1)) ) ) ) ) => r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers)),k9_funct_2(B,k4_numbers),k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k78_aofa_i00(A,B,C,D,G,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) )).
fof(s3_aofa_000__e7_99_4__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) & v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(G,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) & v3_aofa_a01(J,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(J,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & ~ v2_struct_0(K) & v2_unialg_1(K) & v3_unialg_1(K) & v4_unialg_1(K) & v3_aofa_000(K) & v4_aofa_000(K) & v5_aofa_000(K) & v6_aofa_000(K) & ~ v10_aofa_000(K) & v11_aofa_000(K) & v12_aofa_000(K) & v5_aofa_a01(K,A,B,C,E) & l3_aofa_a00(K,A,C,u4_aofa_a00(A,B,C,E)) & m1_aofa_000(L,K,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),J,k2_aofa_a01(A,D))) & m2_subset_1(M,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) ) => ( ( ( r2_tarski(k3_aofa_a01(A,B,C,E,J,D,K,L,M,k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),J,k2_aofa_a01(A,D))) <=> ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,J,D,K,L,M,k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F))),F),I),k5_numbers) ) & ! [N] : ( m1_subset_1(N,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),N,F),I),k5_numbers) => ( ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(K),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(K,k13_aofa_000(K,k13_aofa_000(K,k15_aofa_000(K,k8_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,H,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,I,k31_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k7_aofa_a01(A,B,C,F)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,G,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F)))),F),I),k5_numbers) => r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(K),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(K,k13_aofa_000(K,k13_aofa_000(K,k15_aofa_000(K,k8_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,H,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,I,k31_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k7_aofa_a01(A,B,C,F)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,G,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),J,k2_aofa_a01(A,D))) ) & ( r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(K),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(K,k13_aofa_000(K,k13_aofa_000(K,k15_aofa_000(K,k8_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,H,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,I,k31_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k7_aofa_a01(A,B,C,F)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,G,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F)))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),J,k2_aofa_a01(A,D))) => ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(K),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(K,k13_aofa_000(K,k13_aofa_000(K,k15_aofa_000(K,k8_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,H,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,I,k31_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k7_aofa_a01(A,B,C,F)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,G,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F)))),F),I),k5_numbers) ) & ~ r1_xxreal_0(k10_subset_1(k1_funct_1(k1_msafree4(u1_struct_0(A),N,F),I),k4_ordinal1),k10_subset_1(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(K),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,N,k13_aofa_000(K,k13_aofa_000(K,k13_aofa_000(K,k15_aofa_000(K,k8_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,H,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,I,k31_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k7_aofa_a01(A,B,C,F)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,G,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F)))),F),I),k4_ordinal1)) ) ) ) ) => r4_aofa_000(K,k13_aofa_000(K,k13_aofa_000(K,k13_aofa_000(K,k15_aofa_000(K,k8_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,H,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,I,k31_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k7_aofa_a01(A,B,C,F)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),K,F,G,k30_aofa_a00(A,C,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F))),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k3_aofa_a01(A,B,C,E,J,D,K,L,M,k6_aofa_a01(A,B,C,E,K,J,F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,I),k26_aofa_a00(A,C,F))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),J,k2_aofa_a01(A,D)),L) ) ) )).
fof(s3_aofa_a00__e1_121__aofa_a00,axiom,( ? [A] : ( v1_funct_1(A) & ~ v1_xboole_0(A) & v2_margrel1(A) & v3_margrel1(A,k5_margrel1) & v8_comput_1(A,2) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(k5_margrel1),k5_margrel1))) & ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k1_funct_1(A,k2_finseq_4(k5_margrel1,B,C)) = k9_margrel1(B,C) ) ) ) )).
fof(s3_aofa_a00__e28_136__aofa_a00,axiom,( ? [A] : ( v1_funct_1(A) & ~ v1_xboole_0(A) & v2_margrel1(A) & v3_margrel1(A,k4_numbers) & v8_comput_1(A,2) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(k4_numbers),k4_numbers))) & ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => k1_funct_1(A,k2_finseq_4(k4_numbers,B,C)) = k10_subset_1(k2_xcmplx_0(B,C),k4_numbers) ) ) ) )).
fof(s3_aofa_a00__e38_136__aofa_a00,axiom,( ? [A] : ( v1_funct_1(A) & ~ v1_xboole_0(A) & v2_margrel1(A) & v3_margrel1(A,k4_numbers) & v8_comput_1(A,2) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(k4_numbers),k4_numbers))) & ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => k1_funct_1(A,k2_finseq_4(k4_numbers,B,C)) = k10_subset_1(k3_xcmplx_0(B,C),k4_numbers) ) ) ) )).
fof(s3_aofa_a00__e47_136__aofa_a00,axiom,( ? [A] : ( v1_funct_1(A) & ~ v1_xboole_0(A) & v2_margrel1(A) & v3_margrel1(A,k4_numbers) & v8_comput_1(A,2) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k13_finseq_1(k4_numbers),k4_numbers))) & ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => k1_funct_1(A,k2_finseq_4(k4_numbers,B,C)) = k10_subset_1(k4_int_1(B,C),k4_numbers) ) ) ) )).
fof(s3_asympt_0__e2_25_1_1_2__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v3_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(C,k5_numbers) => ( ~ v1_xboole_0(a_3_2_asympt_0(A,B,C)) & v1_finset_1(a_3_2_asympt_0(A,B,C)) & m1_subset_1(a_3_2_asympt_0(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) ) )).
fof(s3_binop_1__e10_37__topalg_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)))) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ! [C] : ( m1_subset_1(C,k6_domain_1(k4_ordinal1,k5_numbers)) => ? [D] : ( m1_subset_1(D,k1_numbers) & D = k1_funct_1(A,B) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k5_topmetr),k6_domain_1(k4_ordinal1,k5_numbers)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),k6_domain_1(k4_ordinal1,k5_numbers)),k1_numbers))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => ! [D] : ( m1_subset_1(D,k6_domain_1(k4_ordinal1,k5_numbers)) => k2_binop_1(u1_struct_0(k5_topmetr),k6_domain_1(k4_ordinal1,k5_numbers),k1_numbers,B,C,D) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(s3_binop_1__e11_61__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & ~ v1_xboole_0(C) ) => ( ! [D] : ( m1_subset_1(D,k6_card_fil(A)) => ! [E] : ( m1_subset_1(E,A) => ? [F] : ( m1_subset_1(F,k9_setfam_1(C)) & F = a_5_0_card_fil(A,B,C,D,E) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(C)))) & ! [E] : ( m1_subset_1(E,k6_card_fil(A)) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(k6_card_fil(A),A,k9_setfam_1(C),D,E,F) = a_5_0_card_fil(A,B,C,E,F) ) ) ) ) ) )).
fof(s3_binop_1__e20_23_1_1__nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) => ! [C] : ( m1_subset_1(C,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) => ? [D] : ( m1_subset_1(D,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & k3_nagata_1(k2_borsuk_1(A,A),B,C) = D ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) & ! [C] : ( m1_subset_1(C,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) => ! [D] : ( m1_subset_1(D,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) => k3_nagata_1(k2_borsuk_1(A,A),C,D) = k2_binop_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),B,C,D) ) ) ) ) ) )).
fof(s3_binop_1__e2_23_1_1_7__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m2_funct_2(B,u1_struct_0(A),k1_numbers,k9_funct_2(u1_struct_0(A),k1_numbers)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,k1_numbers) & E = k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,C),k3_funct_2(u1_struct_0(A),k1_numbers,B,D))) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),k1_numbers,C,D,E) = k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,D),k3_funct_2(u1_struct_0(A),k1_numbers,B,E))) ) ) ) ) ) )).
fof(s3_binop_1__e2_25__borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ? [C] : ( m1_subset_1(C,k1_euclid(2)) & ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) & D = C & C = k10_finseq_1(A,B) ) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_euclid(2)))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(2)) & E = k2_binop_1(k1_numbers,k1_numbers,k1_euclid(2),A,B,C) & k2_binop_1(k1_numbers,k1_numbers,k1_euclid(2),A,B,C) = k10_finseq_1(B,C) ) ) ) ) )).
fof(s3_binop_1__e2_43__lattice3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( E = B & F = C ) => D = k13_lattice3(A,E,F) ) ) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( G = C & H = D ) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,C,D) = k13_lattice3(A,G,H) ) ) ) ) ) ) ) ) )).
fof(s3_binop_1__e3_88__topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ? [C] : ( m1_subset_1(C,k1_euclid(2)) & ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) & D = C & C = k10_finseq_1(A,B) ) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_euclid(2)))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(2)) & E = k2_binop_1(k1_numbers,k1_numbers,k1_euclid(2),A,B,C) & k2_binop_1(k1_numbers,k1_numbers,k1_euclid(2),A,B,C) = k10_finseq_1(B,C) ) ) ) ) )).
fof(s3_binop_1__e5_43__lattice3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( E = B & F = C ) => D = k12_lattice3(A,E,F) ) ) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( G = C & H = D ) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,C,D) = k12_lattice3(A,G,H) ) ) ) ) ) ) ) ) )).
fof(s3_binop_1__e5_89__topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ? [C] : ( m1_subset_1(C,k1_euclid(2)) & ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) & D = C & C = k10_finseq_1(A,B) ) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_euclid(2)))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(2)) & E = k2_binop_1(k1_numbers,k1_numbers,k1_euclid(2),A,B,C) & k2_binop_1(k1_numbers,k1_numbers,k1_euclid(2),A,B,C) = k10_finseq_1(B,C) ) ) ) ) )).
fof(s3_binop_1__e6_27__topalg_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_topalg_2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ? [C] : ( m1_subset_1(C,u1_struct_0(k2_topalg_2)) & C = k3_xcmplx_0(k6_xcmplx_0(1,B),A) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k5_topmetr)),u1_struct_0(k2_topalg_2)))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_topalg_2)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k2_topalg_2),u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),A,B,C) = k3_xcmplx_0(k6_xcmplx_0(1,C),B) ) ) ) )).
fof(s3_binop_1__e8_25__wellfnd1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_zfmisc_1(B) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k3_rfunct_3(u1_struct_0(A),B)) => ? [H] : ( m1_subset_1(H,k2_tarski(D,E)) & ( ? [I] : ( r2_tarski(I,k9_xtuple_0(G)) & k1_funct_1(G,I) = C ) <=> H = C ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),k2_tarski(D,E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),k2_tarski(D,E)))) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k3_rfunct_3(u1_struct_0(A),B)) => ( ? [J] : ( r2_tarski(J,k9_xtuple_0(H)) & k1_funct_1(H,J) = C ) <=> k2_binop_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B),k2_tarski(D,E),F,G,H) = C ) ) ) ) ) ) )).
fof(s3_binop_1__e8_39_1__waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & ~ v1_xboole_0(E) ) => ( ! [F] : ( m1_subset_1(F,B) => ! [G] : ( m1_subset_1(G,E) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(F,B) & ( ( r2_tarski(G,k1_funct_1(C,F)) & H = k1_funct_1(k1_funct_1(D,F),G) ) | ( ~ r2_tarski(G,k1_funct_1(C,F)) & H = k3_yellow_0(A) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,E),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,E),u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,E) => ( r2_tarski(G,B) & ( ( r2_tarski(H,k1_funct_1(C,G)) & k2_binop_1(B,E,u1_struct_0(A),F,G,H) = k1_funct_1(k1_funct_1(D,G),H) ) | ( ~ r2_tarski(H,k1_funct_1(C,G)) & k2_binop_1(B,E,u1_struct_0(A),F,G,H) = k3_yellow_0(A) ) ) ) ) ) ) ) ) )).
fof(s3_binop_1__e9_27__topalg_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_topalg_2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ? [C] : ( m1_subset_1(C,u1_struct_0(k2_topalg_2)) & C = k3_xcmplx_0(B,A) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(k5_topmetr)),u1_struct_0(k2_topalg_2)))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_topalg_2)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k2_topalg_2),u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),A,B,C) = k3_xcmplx_0(C,B) ) ) ) )).
fof(s3_card_2__e15_32__card_5,axiom,( ! [A] : ( v1_finset_1(A) => ( ( A != k1_xboole_0 & ! [B] : ! [C] : ( ( r1_tarski(C,B) & r1_tarski(B,C) ) => B = C ) & ! [B] : ! [C] : ! [D] : ( ( r1_tarski(C,B) & r1_tarski(D,C) ) => r1_tarski(D,B) ) ) => ? [B] : ( r2_tarski(B,A) & ! [C] : ~ ( r2_tarski(C,A) & C != B & r1_tarski(B,C) ) ) ) ) )).
fof(s3_card_2__e19_61_1__cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ( ( A != k1_xboole_0 & ! [B] : ! [C] : ( ( r1_tarski(B,C) & r1_tarski(C,B) ) => B = C ) & ! [B] : ! [C] : ! [D] : ( ( r1_tarski(B,C) & r1_tarski(C,D) ) => r1_tarski(B,D) ) ) => ? [B] : ( r2_tarski(B,A) & ! [C] : ~ ( r2_tarski(C,A) & C != B & r1_tarski(C,B) ) ) ) ) )).
fof(s3_cgames_1__e2_91__cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ( ! [B] : ( v2_cgames_1(B) => ( r2_tarski(B,k8_cgames_1(A)) => ( ( v5_cgames_1(B) => ! [C] : ( v2_cgames_1(C) => ~ ( r2_tarski(C,k7_cgames_1(B)) & ~ v8_cgames_1(C) & ~ v9_cgames_1(C) ) ) ) & ( ! [C] : ( v2_cgames_1(C) => ~ ( r2_tarski(C,k7_cgames_1(B)) & ~ v8_cgames_1(C) & ~ v9_cgames_1(C) ) ) => v5_cgames_1(B) ) & ( v6_cgames_1(B) => ! [C] : ( v2_cgames_1(C) => ~ ( r2_tarski(C,k6_cgames_1(B)) & ~ v8_cgames_1(C) & ~ v10_cgames_1(C) ) ) ) & ( ! [C] : ( v2_cgames_1(C) => ~ ( r2_tarski(C,k6_cgames_1(B)) & ~ v8_cgames_1(C) & ~ v10_cgames_1(C) ) ) => v6_cgames_1(B) ) ) ) ) => ( ( v5_cgames_1(A) => ! [D] : ( v2_cgames_1(D) => ~ ( r2_tarski(D,k7_cgames_1(A)) & ~ v8_cgames_1(D) & ~ v9_cgames_1(D) ) ) ) & ( ! [D] : ( v2_cgames_1(D) => ~ ( r2_tarski(D,k7_cgames_1(A)) & ~ v8_cgames_1(D) & ~ v9_cgames_1(D) ) ) => v5_cgames_1(A) ) & ( v6_cgames_1(A) => ! [D] : ( v2_cgames_1(D) => ~ ( r2_tarski(D,k6_cgames_1(A)) & ~ v8_cgames_1(D) & ~ v10_cgames_1(D) ) ) ) & ( ! [D] : ( v2_cgames_1(D) => ~ ( r2_tarski(D,k6_cgames_1(A)) & ~ v8_cgames_1(D) & ~ v10_cgames_1(D) ) ) => v6_cgames_1(A) ) ) ) ) => ! [A] : ( v2_cgames_1(A) => ( ( v5_cgames_1(A) => ! [E] : ( v2_cgames_1(E) => ~ ( r2_tarski(E,k7_cgames_1(A)) & ~ v8_cgames_1(E) & ~ v9_cgames_1(E) ) ) ) & ( ! [E] : ( v2_cgames_1(E) => ~ ( r2_tarski(E,k7_cgames_1(A)) & ~ v8_cgames_1(E) & ~ v9_cgames_1(E) ) ) => v5_cgames_1(A) ) & ( v6_cgames_1(A) => ! [E] : ( v2_cgames_1(E) => ~ ( r2_tarski(E,k6_cgames_1(A)) & ~ v8_cgames_1(E) & ~ v10_cgames_1(E) ) ) ) & ( ! [E] : ( v2_cgames_1(E) => ~ ( r2_tarski(E,k6_cgames_1(A)) & ~ v8_cgames_1(E) & ~ v10_cgames_1(E) ) ) => v6_cgames_1(A) ) ) ) )).
fof(s3_chain_1__e3_26__chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => ( B = C | ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,k7_domain_1(k1_numbers,B,C)) & r2_hidden(E,k7_domain_1(k1_numbers,B,C)) & ~ r1_xxreal_0(E,D) & ! [F] : ( v1_xreal_0(F) => ~ ( r2_hidden(F,k7_domain_1(k1_numbers,B,C)) & ~ r1_xxreal_0(F,D) & ~ r1_xxreal_0(E,F) ) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( ( ~ v1_zfmisc_1(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r2_tarski(B,A) & r1_tarski(C,A) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & r2_hidden(G,C) & r2_hidden(H,C) & ~ r1_xxreal_0(H,G) & ! [I] : ( v1_xreal_0(I) => ~ ( r2_hidden(I,C) & ~ r1_xxreal_0(I,G) & ~ r1_xxreal_0(H,I) ) ) ) ) ) => ( r2_tarski(B,C) | ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & r2_hidden(J,k4_subset_1(k1_numbers,C,k6_domain_1(k1_numbers,B))) & r2_hidden(K,k4_subset_1(k1_numbers,C,k6_domain_1(k1_numbers,B))) & ~ r1_xxreal_0(K,J) & ! [L] : ( v1_xreal_0(L) => ~ ( r2_hidden(L,k4_subset_1(k1_numbers,C,k6_domain_1(k1_numbers,B))) & ~ r1_xxreal_0(L,J) & ~ r1_xxreal_0(K,L) ) ) ) ) ) ) ) ) ) => ? [M] : ( v1_xreal_0(M) & ? [N] : ( v1_xreal_0(N) & r2_hidden(M,A) & r2_hidden(N,A) & ~ r1_xxreal_0(N,M) & ! [O] : ( v1_xreal_0(O) => ~ ( r2_hidden(O,A) & ~ r1_xxreal_0(O,M) & ~ r1_xxreal_0(N,O) ) ) ) ) ) ) )).
fof(s3_circcmb2__e18_14__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( F = k1_funct_1(C,E) & G = k1_funct_1(D,E) ) => ( k1_funct_1(C,k1_nat_1(E,1)) = k2_circcomb(F,k19_facirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G)) & k1_funct_1(D,k1_nat_1(E,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => k1_funct_1(D,k1_nat_1(E,1)) = k17_facirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),F) ) ) ) ) )).
fof(s3_circcmb2__e18_4__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( F = k1_funct_1(C,E) & G = k1_funct_1(D,E) ) => ( k1_funct_1(C,k1_nat_1(E,1)) = k2_circcomb(F,k8_fscirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G)) & k1_funct_1(D,k1_nat_1(E,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => k1_funct_1(D,k1_nat_1(E,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),F) ) ) ) ) )).
fof(s3_circcmb2__e18_4__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( F = k1_funct_1(C,E) & G = k1_funct_1(D,E) ) => ( k1_funct_1(C,k1_nat_1(E,1)) = k2_circcomb(F,k13_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G)) & k1_funct_1(D,k1_nat_1(E,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => k1_funct_1(D,k1_nat_1(E,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),F) ) ) ) ) )).
fof(s3_circcmb2__e20_25__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( ~ v2_struct_0(F) & l1_msualg_1(F) ) => ! [G] : ( ( F = k1_funct_1(C,E) & G = k1_funct_1(D,E) ) => ( k1_funct_1(C,k1_nat_1(E,1)) = k2_circcomb(F,k25_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G)) & k1_funct_1(D,k1_nat_1(E,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),G) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( F = k1_funct_1(D,E) => k1_funct_1(D,k1_nat_1(E,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(E,1)),k1_funct_1(B,k1_nat_1(E,1)),F) ) ) ) ) )).
fof(s3_domain_1__e2_22__domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => m1_subset_1(a_3_0_domain_1(A,B,C),k1_zfmisc_1(k3_zfmisc_1(A,B,C))) ) ) ) )).
fof(s3_filter_1__e3_13__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_filter_1(C,A,B) ) => ( ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,D),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,F))) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,D),k9_eqrel_1(A,B,E)),k9_eqrel_1(A,B,F)) ) ) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),D,k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),E,F)) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),D,E),F) ) ) ) ) ) )).
fof(s3_filter_1__e3_16__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_filter_1(C,A,B) & m2_filter_1(D,A,B) ) => ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,E),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k9_eqrel_1(A,B,F),k9_eqrel_1(A,B,G))) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,F)),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,G))) ) ) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [G] : ( m2_subset_1(G,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),E,k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),F,G)) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),E,F),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),E,G)) ) ) ) ) ) )).
fof(s3_filter_1__e3_17__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_filter_1(C,A,B) & m2_filter_1(D,A,B) ) => ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,F)),k9_eqrel_1(A,B,G)) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,E),k9_eqrel_1(A,B,G)),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k9_eqrel_1(A,B,F),k9_eqrel_1(A,B,G))) ) ) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => ! [G] : ( m2_subset_1(G,k1_zfmisc_1(A),k8_eqrel_1(A,B)) => k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),E,F),G) = k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,D),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),E,G),k4_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),F,G)) ) ) ) ) ) )).
fof(s3_finseq_1__e3_16__zmodul03,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_zmodul02(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( C = k1_xboole_0 & r1_xboole_0(k18_zmodul02(A,B),k2_relset_1(u1_struct_0(A),C)) ) => k4_rlvect_1(A,k20_zmodul02(A,C,B)) = k4_struct_0(A) ) ) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( F = D & r1_xboole_0(k18_zmodul02(A,B),k2_relset_1(u1_struct_0(A),F)) ) => k4_rlvect_1(A,k20_zmodul02(A,F,B)) = k4_struct_0(A) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( ( G = k7_finseq_1(D,k9_finseq_1(E)) & r1_xboole_0(k18_zmodul02(A,B),k2_relset_1(u1_struct_0(A),G)) ) => k4_rlvect_1(A,k20_zmodul02(A,G,B)) = k4_struct_0(A) ) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( H = D & r1_xboole_0(k18_zmodul02(A,B),k2_relset_1(u1_struct_0(A),H)) ) => k4_rlvect_1(A,k20_zmodul02(A,H,B)) = k4_struct_0(A) ) ) ) ) ) )).
fof(s3_finseq_1__e3_4__vectsp_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) ) => ( ( ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( D = k1_xboole_0 & r1_xboole_0(k1_vectsp_6(A,B,C),k10_xtuple_0(D)) ) => k4_rlvect_1(B,k3_vectsp_6(A,B,D,C)) = k4_struct_0(B) ) ) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ! [G] : ( m2_finseq_1(G,u1_struct_0(B)) => ( ( G = E & r1_xboole_0(k1_vectsp_6(A,B,C),k10_xtuple_0(G)) ) => k4_rlvect_1(B,k3_vectsp_6(A,B,G,C)) = k4_struct_0(B) ) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(B)) => ( ( H = k7_finseq_1(E,k9_finseq_1(F)) & r1_xboole_0(k1_vectsp_6(A,B,C),k10_xtuple_0(H)) ) => k4_rlvect_1(B,k3_vectsp_6(A,B,H,C)) = k4_struct_0(B) ) ) ) ) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(B)) => ( ( I = E & r1_xboole_0(k1_vectsp_6(A,B,C),k10_xtuple_0(I)) ) => k4_rlvect_1(B,k3_vectsp_6(A,B,I,C)) = k4_struct_0(B) ) ) ) ) ) )).
fof(s3_finseq_1__e3_6__rlvect_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) ) => ( ( ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( C = k1_xboole_0 & r1_xboole_0(k3_rlvect_2(A,B),k10_xtuple_0(C)) ) => k4_rlvect_1(A,k5_rlvect_2(A,C,B)) = k4_struct_0(A) ) ) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( F = D & r1_xboole_0(k3_rlvect_2(A,B),k10_xtuple_0(F)) ) => k4_rlvect_1(A,k5_rlvect_2(A,F,B)) = k4_struct_0(A) ) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ( ( G = k7_finseq_1(D,k9_finseq_1(E)) & r1_xboole_0(k3_rlvect_2(A,B),k10_xtuple_0(G)) ) => k4_rlvect_1(A,k5_rlvect_2(A,G,B)) = k4_struct_0(A) ) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( ( H = D & r1_xboole_0(k3_rlvect_2(A,B),k10_xtuple_0(H)) ) => k4_rlvect_1(A,k5_rlvect_2(A,H,B)) = k4_struct_0(A) ) ) ) ) ) )).
fof(s3_finseq_1__e3_76__finseq_3,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : k1_finseq_3(k7_finseq_1(A,k1_xboole_0),B) = k7_finseq_1(k1_finseq_3(A,B),k1_finseq_3(k1_xboole_0,B)) ) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : k1_finseq_3(k7_finseq_1(E,C),F) = k7_finseq_1(k1_finseq_3(E,F),k1_finseq_3(C,F)) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ! [H] : k1_finseq_3(k7_finseq_1(G,k7_finseq_1(C,k9_finseq_1(D))),H) = k7_finseq_1(k1_finseq_3(G,H),k1_finseq_3(k7_finseq_1(C,k9_finseq_1(D)),H)) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ! [J] : k1_finseq_3(k7_finseq_1(I,C),J) = k7_finseq_1(k1_finseq_3(I,J),k1_finseq_3(C,J)) ) ) )).
fof(s3_finseq_1__e3_76__finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( k3_finseq_5(k7_finseq_1(A,k1_xboole_0)) = k7_finseq_1(k3_finseq_5(k1_xboole_0),k3_finseq_5(A)) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( k3_finseq_5(k7_finseq_1(A,B)) = k7_finseq_1(k3_finseq_5(B),k3_finseq_5(A)) => k3_finseq_5(k7_finseq_1(A,k7_finseq_1(B,k9_finseq_1(C)))) = k7_finseq_1(k3_finseq_5(k7_finseq_1(B,k9_finseq_1(C))),k3_finseq_5(A)) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k3_finseq_5(k7_finseq_1(A,B)) = k7_finseq_1(k3_finseq_5(B),k3_finseq_5(A)) ) ) ) )).
fof(s3_finseq_1__e3_78__finseq_1,axiom,( ( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k7_finseq_1(A,B) = k7_finseq_1(k1_xboole_0,C) & r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(k1_xboole_0)) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => k7_finseq_1(A,D) != k1_xboole_0 ) ) ) ) ) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( k7_finseq_1(G,H) = k7_finseq_1(E,I) & r1_xxreal_0(k3_finseq_1(G),k3_finseq_1(E)) & ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) ) => k7_finseq_1(G,J) != E ) ) ) ) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) ) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) ) => ~ ( k7_finseq_1(K,L) = k7_finseq_1(k7_finseq_1(E,k9_finseq_1(F)),M) & r1_xxreal_0(k3_finseq_1(K),k3_finseq_1(k7_finseq_1(E,k9_finseq_1(F)))) & ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) ) => k7_finseq_1(K,N) != k7_finseq_1(E,k9_finseq_1(F)) ) ) ) ) ) ) ) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [O] : ( ( v1_relat_1(O) & v1_funct_1(O) & v1_finseq_1(O) ) => ! [P] : ( ( v1_relat_1(P) & v1_funct_1(P) & v1_finseq_1(P) ) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finseq_1(Q) ) => ~ ( k7_finseq_1(O,P) = k7_finseq_1(E,Q) & r1_xxreal_0(k3_finseq_1(O),k3_finseq_1(E)) & ! [R] : ( ( v1_relat_1(R) & v1_funct_1(R) & v1_finseq_1(R) ) => k7_finseq_1(O,R) != E ) ) ) ) ) ) )).
fof(s3_finseq_1__e4_82__finseq_1,axiom,( ( ( v2_funct_1(k1_xboole_0) => ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ( k10_xtuple_0(k1_xboole_0) = k10_xtuple_0(A) & v2_funct_1(A) ) => k3_finseq_1(k1_xboole_0) = k3_finseq_1(A) ) ) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v2_funct_1(B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( k10_xtuple_0(B) = k10_xtuple_0(D) & v2_funct_1(D) ) => k3_finseq_1(B) = k3_finseq_1(D) ) ) ) => ( v2_funct_1(k7_finseq_1(B,k9_finseq_1(C))) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k10_xtuple_0(k7_finseq_1(B,k9_finseq_1(C))) = k10_xtuple_0(E) & v2_funct_1(E) ) => k3_finseq_1(k7_finseq_1(B,k9_finseq_1(C))) = k3_finseq_1(E) ) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v2_funct_1(B) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ( k10_xtuple_0(B) = k10_xtuple_0(F) & v2_funct_1(F) ) => k3_finseq_1(B) = k3_finseq_1(F) ) ) ) ) )).
fof(s3_fomodel0__e1_36__hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(a_1_3_hilbert4(A)) & v1_funct_1(a_1_3_hilbert4(A)) ) ) )).
fof(s3_fomodel0__e4_36__hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(a_1_2_hilbert4(A)) & v1_funct_1(a_1_2_hilbert4(A)) ) ) )).
fof(s3_fraenkel__e10_26__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) & m1_subset_1(D,k4_partfun1(A,B)) ) => ( ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ( ( r2_tarski(E,a_4_6_heyting2(A,B,C,D)) & r1_partfun1(E,D) ) <=> ( ~ r1_partfun1(E,D) & r2_tarski(E,C) & r1_partfun1(E,D) ) ) ) => a_4_9_heyting2(A,B,C,D) = a_4_10_heyting2(A,B,C,D) ) ) )).
fof(s3_fraenkel__e11_12__jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,B,D) & r1_jordan6(A,D,C) ) <=> ( r1_jordan5c(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B,D) & r1_jordan5c(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),D,C) ) ) ) => a_3_0_jordan_a(A,B,C) = a_3_1_jordan_a(A,B,C) ) ) )).
fof(s3_fraenkel__e15_8_1__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_finset_1(B) & v7_ordinal1(C) & m1_subset_1(D,u1_struct_0(A)) ) => ( ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),D)) => ( r1_xxreal_0(k8_msafree2(A,B,D,E),k1_nat_1(C,1)) <=> ( r1_xxreal_0(k8_msafree2(A,B,D,E),C) | k8_msafree2(A,B,D,E) = k1_nat_1(C,1) ) ) ) => a_4_1_msscyc_2(A,B,C,D) = a_4_2_msscyc_2(A,B,C,D) ) ) )).
fof(s3_fraenkel__e2_39_1__jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ r1_xxreal_0(A,k12_euclid(k5_algstr_0(k15_euclid(2),B,k19_euclid(k5_numbers,k5_numbers)))) <=> ~ r1_xxreal_0(A,k12_euclid(B)) ) ) => a_1_5_jgraph_6(A) = a_1_0_jgraph_6(A) ) ) )).
fof(s3_fraenkel__e2_39_2_1__jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k12_euclid(k5_algstr_0(k15_euclid(2),B,k19_euclid(k5_numbers,k5_numbers))) = A <=> k12_euclid(B) = A ) ) => a_1_6_jgraph_6(A) = a_1_1_jgraph_6(A) ) ) )).
fof(s3_fraenkel__e2_39_3__jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,k19_euclid(k5_numbers,k5_numbers))),A) <=> ~ r1_xxreal_0(k12_euclid(B),A) ) ) => a_1_7_jgraph_6(A) = a_1_2_jgraph_6(A) ) ) )).
fof(s3_fraenkel__e2_39_4__jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,k19_euclid(k5_numbers,k5_numbers))),A) <=> r1_xxreal_0(k12_euclid(B),A) ) ) => a_1_8_jgraph_6(A) = a_1_3_jgraph_6(A) ) ) )).
fof(s3_fraenkel__e2_39_5__jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(A,k12_euclid(k5_algstr_0(k15_euclid(2),B,k19_euclid(k5_numbers,k5_numbers)))) <=> r1_xxreal_0(A,k12_euclid(B)) ) ) => a_1_9_jgraph_6(A) = a_1_4_jgraph_6(A) ) ) )).
fof(s3_fraenkel__e2_44_1__jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( ~ ( ~ ( k17_euclid(A) = k4_xcmplx_0(1) & r1_xxreal_0(k18_euclid(A),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(A)) ) & ~ ( r1_xxreal_0(k17_euclid(A),1) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(A)) & k18_euclid(A) = 1 ) & ~ ( r1_xxreal_0(k17_euclid(A),1) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(A)) & k18_euclid(A) = k4_xcmplx_0(1) ) & ~ ( k17_euclid(A) = 1 & r1_xxreal_0(k18_euclid(A),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(A)) ) ) <=> ~ ( ~ ( k4_xcmplx_0(1) = k17_euclid(A) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),1) ) & ~ ( k17_euclid(A) = 1 & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),1) ) & ~ ( k4_xcmplx_0(1) = k18_euclid(A) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),1) ) & ~ ( 1 = k18_euclid(A) & r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),1) ) ) ) ) => a_0_15_jgraph_6 = a_0_13_jgraph_6 )).
fof(s3_fraenkel__e2_44_2__jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( k12_euclid(k5_algstr_0(k15_euclid(2),A,k19_euclid(k5_numbers,k5_numbers))) = 1 <=> k12_euclid(A) = 1 ) ) => a_0_16_jgraph_6 = a_0_0_jgraph_6 )).
fof(s3_fraenkel__e2_45_1__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,k6_algstr_0(A,D,k6_algstr_0(A,C,k2_quantal1(A,B,B))),B) <=> r3_lattices(A,k6_algstr_0(A,D,C),B) ) ) => a_3_25_quantal1(A,B,C) = a_3_21_quantal1(A,B,C) ) ) )).
fof(s3_fraenkel__e4_46__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_lattices(A,k6_algstr_0(A,E,C),D) <=> r3_lattices(A,k6_algstr_0(A,E,k6_algstr_0(A,C,k2_quantal1(A,D,B))),B) ) ) => a_3_18_quantal1(A,C,D) = a_4_5_quantal1(A,B,C,D) ) ) )).
fof(s3_fraenkel__e4_93__closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v15_closure2(B,A) & l1_closure2(B,A) & m1_closure2(C,u1_struct_0(A),u3_msualg_1(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( ! [D] : ( m1_subset_1(D,k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) => ( ( r2_pboole(u1_struct_0(A),C,D) & r2_tarski(D,u1_closure2(A,B)) ) <=> ( r2_tarski(D,u1_closure2(A,B)) & r2_pboole(u1_struct_0(A),C,D) ) ) ) => a_3_9_closure2(A,B,C) = a_3_10_closure2(A,B,C) ) ) )).
fof(s3_fraenkel__e5_32_1_2_1__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r2_hidden(E,B) <=> r2_hidden(E,B) ) ) => a_4_5_metrizts(A,B,C,D) = a_4_6_metrizts(A,B,C,D) ) ) )).
fof(s3_fraenkel__e5_45_1__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,k6_algstr_0(A,k6_algstr_0(A,k1_quantal1(A,B,B),C),D),B) <=> r3_lattices(A,k6_algstr_0(A,C,D),B) ) ) => a_3_26_quantal1(A,B,C) = a_3_22_quantal1(A,B,C) ) ) )).
fof(s3_fraenkel__e6_17__jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,B,C) | ( r2_tarski(B,A) & C = k18_pscomp_1(A) ) ) <=> ( r1_jordan5c(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B,C) | r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),C,k18_pscomp_1(A)) ) ) ) => a_2_10_jordan_a(A,B) = a_2_14_jordan_a(A,B) ) ) )).
fof(s3_fraenkel__e6_24__necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(A,k1_nat_1(B,1)) <=> r2_tarski(B,k5_card_1(k7_nat_d(A,1))) ) ) => a_1_0_necklace(A) = a_1_3_necklace(A) ) ) )).
fof(s3_fraenkel__e6_46__necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(A,k1_nat_1(B,1)) <=> r2_tarski(B,k5_card_1(k7_nat_d(A,1))) ) ) => a_1_1_necklace(A) = a_1_5_necklace(A) ) ) )).
fof(s3_fraenkel__e6_58_1_1_1_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_waybel21(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m1_subset_1(E,u1_struct_0(D)) & m1_subset_1(F,u1_struct_0(k6_waybel_9(A,B,C,D))) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ( r1_orders_2(D,E,G) <=> r2_hidden(k4_tarski(F,G),u1_orders_2(D)) ) ) => a_5_6_waybel21(A,B,C,D,E) = a_5_7_waybel21(A,B,C,D,F) ) ) )).
fof(s3_fraenkel__e7_14__jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,B,C) | ( r2_tarski(B,A) & C = k18_pscomp_1(A) ) ) <=> ( r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),B,C) & r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),C,k18_pscomp_1(A)) ) ) ) => a_2_10_jordan_a(A,B) = a_2_11_jordan_a(A,B) ) ) )).
fof(s3_fraenkel__e7_97_1__closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v15_closure2(B,A) & l1_closure2(B,A) & m1_closure2(C,u1_struct_0(A),u3_msualg_1(A,B),k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) ) => ( ! [D] : ( m1_subset_1(D,k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) => ( ( r2_pboole(u1_struct_0(A),C,D) & r2_tarski(D,u1_closure2(A,B)) ) <=> ( r2_tarski(D,u1_closure2(A,B)) & r2_pboole(u1_struct_0(A),C,D) ) ) ) => a_3_9_closure2(A,B,C) = a_3_10_closure2(A,B,C) ) ) )).
fof(s3_fraenkel__e8_13__jordan_a,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,k22_pscomp_1(A),C) & r1_jordan6(A,C,B) ) <=> ( r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),k22_pscomp_1(A),C) & r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),C,B) ) ) ) => a_2_8_jordan_a(A,B) = a_2_9_jordan_a(A,B) ) ) )).
fof(s3_fraenkel__e8_16__jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,B,D) & r1_jordan6(A,D,C) ) <=> ( r1_jordan5c(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B,D) | r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),D,C) ) ) ) => a_3_0_jordan_a(A,B,C) = a_3_3_jordan_a(A,B,C) ) ) )).
fof(s3_fraenkel__e8_36__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) <=> r3_lattices(A,k6_algstr_0(A,B,E),C) ) ) => a_3_16_quantal1(A,B,D) = a_3_17_quantal1(A,B,C) ) ) )).
fof(s3_fraenkel__e8_37__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,D) <=> r3_lattices(A,k6_algstr_0(A,E,B),C) ) ) => a_3_19_quantal1(A,B,D) = a_3_20_quantal1(A,B,C) ) ) )).
fof(s3_fraenkel__e8_46__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_lattices(A,k6_algstr_0(A,C,E),D) <=> r3_lattices(A,k6_algstr_0(A,k6_algstr_0(A,k1_quantal1(A,D,B),C),E),B) ) ) => a_3_15_quantal1(A,C,D) = a_4_6_quantal1(A,B,C,D) ) ) )).
fof(s3_fraenkel__e8_58_1_1_1_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_waybel21(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m1_subset_1(E,u1_struct_0(k6_waybel_9(A,B,C,D))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(A,B,C,D))) => ( r2_hidden(k4_tarski(E,F),u1_orders_2(D)) <=> r1_orders_2(k6_waybel_9(A,B,C,D),E,F) ) ) => a_5_8_waybel21(A,B,C,D,E) = a_5_9_waybel21(A,B,C,D,E) ) ) )).
fof(s3_fraenkel__e9_15_1_2__jordan_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,B,D) & r1_jordan6(A,D,C) ) <=> ( r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),B,D) & r1_jordan5c(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),D,C) ) ) ) => a_3_0_jordan_a(A,B,C) = a_3_2_jordan_a(A,B,C) ) ) )).
fof(s3_funct_1__e12_21_3_1__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) & m2_finseq_1(D,u1_struct_0(k12_polynom1(A,B))) & v1_relat_1(E) & v1_funct_1(E) & v1_funcop_1(E) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k4_finseq_1(D) & ! [G] : ( r2_hidden(G,k4_finseq_1(D)) => k1_funct_1(F,G) = k1_funct_1(k1_funct_1(E,G),C) ) ) ) )).
fof(s3_funct_1__e12_26_2_3__graph_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & v7_graph_1(B,A) & m2_graph_1(B,A) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_1_4_graph_4(C) & ! [E] : ( r2_hidden(E,a_1_4_graph_4(C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e12_39_2__funct_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_tarski(k1_xboole_0) & ! [C] : ( r2_hidden(C,k1_tarski(k1_xboole_0)) => k1_funct_1(B,C) = A ) ) )).
fof(s3_funct_1__e13_63_1_1__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_graph_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_4_graph_2(A,B,C,D) & ! [F] : ( r2_hidden(F,a_4_4_graph_2(A,B,C,D)) => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) )).
fof(s3_funct_1__e14_49__weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = u1_struct_0(k10_group_5(k1_uniroots(A))) & ! [C] : ( r2_hidden(C,u1_struct_0(k10_group_5(k1_uniroots(A)))) => k1_funct_1(B,C) = k1_tarski(C) ) ) ) )).
fof(s3_funct_1__e15_118_1_1_2__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & m1_msafree4(D,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,C,k1_msafree3(A,B))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_finseq_1(k1_msualg_1(A,C)) & ! [F] : ( r2_hidden(F,k4_finseq_1(k1_msualg_1(A,C))) => k1_funct_1(E,F) = k10_msafree5(A,B,k1_msafree3(A,B),k7_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),D,F)) ) ) ) )).
fof(s3_funct_1__e15_24__wellord2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_tarski(C) ) ) )).
fof(s3_funct_1__e16_26_2_2__graph_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_3_2_graph_4(A,B,C) & ! [E] : ( r2_hidden(E,a_3_2_graph_4(A,B,C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e17_10__laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_xboole_0(k2_setwop_2(C),k6_subset_1(k2_setwop_2(k1_nat_1(B,2)),k2_finseq_1(A))) & ! [E] : ( r2_hidden(E,k2_xboole_0(k2_setwop_2(C),k6_subset_1(k2_setwop_2(k1_nat_1(B,2)),k2_finseq_1(A)))) => k1_funct_1(D,E) = k2_tarski(E,A) ) ) ) )).
fof(s3_funct_1__e17_63_1_2__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_3_2_graph_2(A,B,C) & ! [E] : ( r2_hidden(E,a_3_2_graph_2(A,B,C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e19_24_1_2_1_1_1_1__altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) & m1_subset_1(B,u1_struct_0(k7_altcat_1(A))) & m1_subset_1(C,u1_struct_0(k7_altcat_1(A))) & m1_subset_1(E,C) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = B & ! [G] : ( r2_hidden(G,B) => k1_funct_1(F,G) = k16_funcop_1(C,G,D,E,o_2_1_altcat_3(A,C)) ) ) ) )).
fof(s3_funct_1__e19_26_2_3__graph_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_1_5_graph_4(C) & ! [E] : ( r2_hidden(E,a_1_5_graph_4(C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e19_35_1__waybel_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k6_partfun1(k1_funct_1(B,D)) ) ) ) )).
fof(s3_funct_1__e1_103__card_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k4_tarski(D,B) ) ) )).
fof(s3_funct_1__e1_12__scmyciel,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k2_tarski(A,k4_tarski(C,A)) ) ) )).
fof(s3_funct_1__e1_132_1_1__pboole,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = A & ! [F] : ( r2_hidden(F,A) => k1_funct_1(E,F) = k14_funcop_1(C,F,D,k1_funct_1(B,F)) ) ) ) )).
fof(s3_funct_1__e1_136__group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k7_group_3(A,B) & ! [D] : ( r2_hidden(D,k7_group_3(A,B)) => k1_funct_1(C,D) = k1_tarski(D) ) ) ) )).
fof(s3_funct_1__e1_143__group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = u1_struct_0(A) & ! [C] : ( r2_hidden(C,u1_struct_0(A)) => k1_funct_1(B,C) = k1_tarski(C) ) ) ) )).
fof(s3_funct_1__e1_17_1__funct_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = o_1_2_funct_1(B) ) ) )).
fof(s3_funct_1__e1_17__card_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & ! [F] : ( r2_hidden(F,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D))) => k1_funct_1(E,F) = k4_tarski(k2_xtuple_0(F),k1_xtuple_0(F)) ) ) )).
fof(s3_funct_1__e1_218__glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_glib_001(B,A) & m3_glib_001(B,A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k12_glib_001(A,B) & ! [D] : ( r2_hidden(D,k12_glib_001(A,B)) => k1_funct_1(C,D) = k2_xtuple_0(D) ) ) ) )).
fof(s3_funct_1__e1_22__card_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_tarski(C) ) ) )).
fof(s3_funct_1__e1_28__abcmiz_1,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_classes1(k4_ordinal1))) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k6_classes1(C) ) ) ) )).
fof(s3_funct_1__e1_29_3_1__nagata_1,axiom,( ! [A] : ( ~ v4_card_3(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k2_xboole_0(k2_zfmisc_1(k1_tarski(C),A),k2_zfmisc_1(A,k1_tarski(C))) ) ) ) )).
fof(s3_funct_1__e1_30_1__endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_endalg(A) & ! [C] : ( r2_hidden(C,k1_endalg(A)) => k1_funct_1(B,C) = k17_funcop_1(k5_numbers,C) ) ) ) )).
fof(s3_funct_1__e1_32__classes2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k6_classes1(C) ) ) )).
fof(s3_funct_1__e1_33__card_2,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_xboole_0(k2_zfmisc_1(A,k1_tarski(k5_numbers)),k2_zfmisc_1(B,k1_tarski(1))) & ! [D] : ( r2_hidden(D,k2_xboole_0(k2_zfmisc_1(A,k1_tarski(k5_numbers)),k2_zfmisc_1(B,k1_tarski(1)))) => k1_funct_1(C,D) = k1_xtuple_0(D) ) ) )).
fof(s3_funct_1__e1_34__hilbasis,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = u1_struct_0(A) & ! [C] : ( r2_hidden(C,u1_struct_0(A)) => k1_funct_1(B,C) = k7_funcop_1(k15_pre_poly(k1_xboole_0),C) ) ) ) )).
fof(s3_funct_1__e1_3_1__card_2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_xtuple_0(C) ) ) )).
fof(s3_funct_1__e1_3_1__henmodel,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v1_finset_1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => k1_funct_1(D,E) = k3_nat_1(a_3_0_henmodel(A,B,E)) ) ) ) )).
fof(s3_funct_1__e1_41__group_10,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => k1_funct_1(C,D) = k2_zfmisc_1(A,k1_tarski(D)) ) ) ) )).
fof(s3_funct_1__e1_44_5__waybel18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k4_card_3(k1_funct_7(k12_pralg_1(A,k7_funcop_1(A,k9_waybel18)),C,k1_tarski(1))) ) ) ) )).
fof(s3_funct_1__e1_47__autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_autalg_1(A) & ! [C] : ( r2_hidden(C,k1_autalg_1(A)) => k1_funct_1(B,C) = k17_funcop_1(k5_numbers,C) ) ) ) )).
fof(s3_funct_1__e1_52__waybel26,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_xfamily(C) ) ) ) )).
fof(s3_funct_1__e1_56__dickson,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k6_domain_1(k4_ordinal1,k5_numbers)) & v1_funct_1(A) & v1_partfun1(A,k6_domain_1(k4_ordinal1,k5_numbers)) & v1_yellow_1(A) & m2_subset_1(B,k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = u1_struct_0(k3_waybel_3(k6_domain_1(k4_ordinal1,k5_numbers),A,B)) & ! [D] : ( r2_hidden(D,u1_struct_0(k3_waybel_3(k6_domain_1(k4_ordinal1,k5_numbers),A,B))) => k1_funct_1(C,D) = k17_funcop_1(k5_numbers,D) ) ) ) )).
fof(s3_funct_1__e1_59__funct_5,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k7_funcop_1(k1_tarski(B),D) ) ) )).
fof(s3_funct_1__e1_5__card_2,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_zfmisc_1(A,B) & ! [D] : ( r2_hidden(D,k2_zfmisc_1(A,B)) => k1_funct_1(C,D) = k4_tarski(k2_xtuple_0(D),k1_xtuple_0(D)) ) ) )).
fof(s3_funct_1__e1_78__filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = u1_struct_0(A) & ! [D] : ( r2_hidden(D,u1_struct_0(A)) => k1_funct_1(C,D) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k10_filter_0(A,k2_filter_0(A,B)),D) ) ) ) )).
fof(s3_funct_1__e1_7__card_2,axiom,( ! [A] : ! [B] : ! [C] : ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_zfmisc_1(k2_zfmisc_1(A,B),C) & ! [E] : ( r2_hidden(E,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) => k1_funct_1(D,E) = k4_tarski(k1_xtuple_0(k1_xtuple_0(E)),k4_tarski(k2_xtuple_0(k1_xtuple_0(E)),k2_xtuple_0(E))) ) ) )).
fof(s3_funct_1__e1_7__card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k9_finseq_1(C) ) ) ) )).
fof(s3_funct_1__e1_87_1__card_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k9_xtuple_0(A) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(B,C) = k4_tarski(C,k1_funct_1(A,C)) ) ) ) )).
fof(s3_funct_1__e1_90_1__finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k8_relat_1(A,B) & ! [D] : ( r2_hidden(D,k8_relat_1(A,B)) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) )).
fof(s3_funct_1__e1_97_2__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v2_fsm_1(C,A,B) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = u1_struct_0(C) & ! [E] : ( r2_hidden(E,u1_struct_0(C)) => k1_funct_1(D,E) = k2_xtuple_0(E) ) ) ) )).
fof(s3_funct_1__e20_29__classes2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k6_classes1(C) ) ) )).
fof(s3_funct_1__e21_63_1_3__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_1_6_graph_2(C) & ! [E] : ( r2_hidden(E,a_1_6_graph_2(C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e21_97__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v2_fsm_1(C,A,B) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = u1_struct_0(C) & ! [E] : ( r2_hidden(E,u1_struct_0(C)) => k1_funct_1(D,E) = k2_xtuple_0(E) ) ) ) )).
fof(s3_funct_1__e28_24__classes2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k6_classes1(C) ) ) )).
fof(s3_funct_1__e2_14__funct_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = B ) ) )).
fof(s3_funct_1__e2_15__funct_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_xboole_0 ) ) )).
fof(s3_funct_1__e2_1_1_1__simplex1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k9_relat_1(B,D) ) ) ) )).
fof(s3_funct_1__e2_30_1__msualg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & m1_subset_1(E,u4_struct_0(A)) & m1_subset_1(F,k3_msualg_1(A,E,C)) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = k4_finseq_1(k1_msualg_1(A,E)) & ! [H] : ( r2_hidden(H,k4_finseq_1(k1_msualg_1(A,E))) => k1_funct_1(G,H) = k1_funct_1(k5_msualg_3(A,C,B,E,k4_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D),F),H) ) ) ) )).
fof(s3_funct_1__e2_39_1__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & ! [E] : ( r2_hidden(E,B) => k1_funct_1(D,E) = k4_tarski(C,E) ) ) ) )).
fof(s3_funct_1__e2_41_1__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,B) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = A & ! [E] : ( r2_hidden(E,A) => k1_funct_1(D,E) = k4_tarski(E,C) ) ) ) )).
fof(s3_funct_1__e2_47__waybel18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = u1_struct_0(A) & ! [C] : ( r2_hidden(C,u1_struct_0(A)) => k1_funct_1(B,C) = k5_funct_3(a_2_2_waybel18(A,C),u1_pre_topc(A)) ) ) ) )).
fof(s3_funct_1__e2_63_1_2__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_graph_1(B,A) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_3_0_graph_2(A,B,C) & ! [E] : ( r2_hidden(E,a_3_0_graph_2(A,B,C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e2_74_1_2__orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => k1_funct_1(C,D) = k8_relat_1(A,k1_tarski(D)) ) ) ) )).
fof(s3_funct_1__e2_80_1__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m2_funct_2(C,A,B,k9_funct_2(A,B)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & ! [E] : ( r2_hidden(E,B) => k1_funct_1(D,E) = k4_tarski(C,E) ) ) ) )).
fof(s3_funct_1__e3_103__card_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k10_xtuple_0(A) & ! [C] : ( r2_hidden(C,k10_xtuple_0(A)) => k1_funct_1(B,C) = k8_relat_1(A,k1_tarski(C)) ) ) ) )).
fof(s3_funct_1__e3_11__afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_hidden(D,B) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) )).
fof(s3_funct_1__e3_14_1_2__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(D,A,C) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k18_zmodul02(A,D) & ! [F] : ( r2_hidden(F,k18_zmodul02(A,D)) => k1_funct_1(E,F) = a_3_2_zmodul03(A,B,F) ) ) ) )).
fof(s3_funct_1__e3_15_1_2__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(E,A,B,D) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_vectsp_6(A,B,E) & ! [G] : ( r2_hidden(G,k1_vectsp_6(A,B,E)) => k1_funct_1(F,G) = a_4_0_mod_3(A,B,C,G) ) ) ) )).
fof(s3_funct_1__e3_165__glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m3_glib_001(B,A) & m1_subset_1(C,k1_zfmisc_1(k12_glib_001(A,B))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_relset_1(k4_ordinal1,C) & ! [E] : ( r2_hidden(E,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(D,E) = k1_funct_1(k5_glib_003(A),k1_funct_1(C,E)) ) ) ) )).
fof(s3_funct_1__e3_16_1_2__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(E,A,B,D) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_vectsp_6(A,B,E) & ! [G] : ( r2_hidden(G,k1_vectsp_6(A,B,E)) => k1_funct_1(F,G) = a_4_0_mod_3(A,B,C,G) ) ) ) )).
fof(s3_funct_1__e3_17_1_2__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,C) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k3_rlvect_2(A,D) & ! [F] : ( r2_hidden(F,k3_rlvect_2(A,D)) => k1_funct_1(E,F) = a_3_0_rusub_3(A,B,F) ) ) ) )).
fof(s3_funct_1__e3_18_1_2__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,C) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k3_rlvect_2(A,D) & ! [F] : ( r2_hidden(F,k3_rlvect_2(A,D)) => k1_funct_1(E,F) = a_3_0_rusub_3(A,B,F) ) ) ) )).
fof(s3_funct_1__e3_20_1_2__rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,C) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k3_rlvect_2(A,D) & ! [F] : ( r2_hidden(F,k3_rlvect_2(A,D)) => k1_funct_1(E,F) = a_3_1_rlaffin1(A,B,F) ) ) ) )).
fof(s3_funct_1__e3_22__finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v7_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_finseq_1(B) & ! [D] : ( r2_hidden(D,k2_finseq_1(B)) => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) )).
fof(s3_funct_1__e3_24_1_2__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(E,A,B,D) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_vectsp_6(A,B,E) & ! [G] : ( r2_hidden(G,k1_vectsp_6(A,B,E)) => k1_funct_1(F,G) = a_4_0_vectsp_7(A,B,C,G) ) ) ) )).
fof(s3_funct_1__e3_25_1_2__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(E,A,B,D) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_vectsp_6(A,B,E) & ! [G] : ( r2_hidden(G,k1_vectsp_6(A,B,E)) => k1_funct_1(F,G) = a_4_0_vectsp_7(A,B,C,G) ) ) ) )).
fof(s3_funct_1__e3_33_1_2__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,C) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k3_rlvect_2(A,D) & ! [F] : ( r2_hidden(F,k3_rlvect_2(A,D)) => k1_funct_1(E,F) = a_3_1_rlvect_3(A,B,F) ) ) ) )).
fof(s3_funct_1__e3_34_1_2__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,C) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k3_rlvect_2(A,D) & ! [F] : ( r2_hidden(F,k3_rlvect_2(A,D)) => k1_funct_1(E,F) = a_3_1_rlvect_3(A,B,F) ) ) ) )).
fof(s3_funct_1__e3_37__finset_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_xtuple_0(C) ) ) )).
fof(s3_funct_1__e3_38__finset_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_xtuple_0(C) ) ) )).
fof(s3_funct_1__e3_39__combgras,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_tarski(C) ) ) ) )).
fof(s3_funct_1__e3_40__combgras,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k6_subset_1(A,k1_tarski(C)) ) ) ) )).
fof(s3_funct_1__e3_48__card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(A)) => k1_funct_1(C,D) = k6_subset_1(k1_funct_1(B,D),k1_funct_1(A,D)) ) ) ) )).
fof(s3_funct_1__e3_63_1_3__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_graph_1(B,A) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e40_26_2_1__graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & v7_graph_1(B,A) & m2_graph_1(B,A) & v7_ordinal1(C) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_4_graph_4(A,B,C,D) & ! [F] : ( r2_hidden(F,a_4_4_graph_4(A,B,C,D)) => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) )).
fof(s3_funct_1__e47_26_2_1__graph_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_5_graph_4(A,B,C,D) & ! [F] : ( r2_hidden(F,a_4_5_graph_4(A,B,C,D)) => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) )).
fof(s3_funct_1__e4_116_1_1_2__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) & m1_msafree4(D,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,C,k1_msafree3(A,B))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_finseq_1(D) & ! [F] : ( r2_hidden(F,k4_finseq_1(D)) => k1_funct_1(E,F) = k10_msafree5(A,B,k1_msafree3(A,B),k7_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),D,F)) ) ) ) )).
fof(s3_funct_1__e4_39_2__funct_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k1_tarski(k1_xboole_0) & ! [C] : ( r2_hidden(C,k1_tarski(k1_xboole_0)) => k1_funct_1(B,C) = A ) ) )).
fof(s3_funct_1__e4_48__msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k4_dtconstr(k5_msafree(A,B)),k3_card_3(u3_msualg_1(A,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k5_msafree(A,B)),k3_card_3(u3_msualg_1(A,C))))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = u1_struct_0(A) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => k1_funct_1(E,F) = k2_partfun1(k4_dtconstr(k5_msafree(A,B)),k3_card_3(u3_msualg_1(A,C)),D,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),F)) ) ) ) )).
fof(s3_funct_1__e4_51__waybel_6,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v4_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = u1_struct_0(A) & ! [D] : ( r2_hidden(D,u1_struct_0(A)) => k1_funct_1(C,D) = a_2_6_waybel_6(B,D) ) ) ) )).
fof(s3_funct_1__e4_58__dickson,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_relset_1(A,k12_pralg_1(A,B)) & ! [D] : ( r2_hidden(D,k1_relset_1(A,k12_pralg_1(A,B))) => k1_funct_1(C,D) = o_3_16_dickson(A,B,D) ) ) ) )).
fof(s3_funct_1__e5_20__card_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k8_relat_1(B,k1_tarski(D)) ) ) ) )).
fof(s3_funct_1__e5_78__osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & v13_osalg_1(C,A) & l3_msualg_1(C,A) & v1_funct_1(D) & v1_funct_2(D,k4_dtconstr(k2_osafree(A,B)),k3_card_3(u3_msualg_1(A,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),k3_card_3(u3_msualg_1(A,C))))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = u1_struct_0(A) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => k1_funct_1(E,F) = k2_partfun1(k4_dtconstr(k2_osafree(A,B)),k3_card_3(u3_msualg_1(A,C)),D,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),F)) ) ) ) )).
fof(s3_funct_1__e5_8__card_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_zfmisc_1(A,B) & ! [E] : ( r2_hidden(E,k2_zfmisc_1(A,B)) => k1_funct_1(D,E) = k4_tarski(k1_funct_1(C,k1_xtuple_0(E)),k2_xtuple_0(E)) ) ) ) )).
fof(s3_funct_1__e68_63_1_1__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & v7_ordinal1(C) & v7_ordinal1(D) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_5_graph_2(A,B,C,D) & ! [F] : ( r2_hidden(F,a_4_5_graph_2(A,B,C,D)) => k1_funct_1(E,F) = k1_funct_1(B,F) ) ) ) )).
fof(s3_funct_1__e6_222_1_1_2__glib_001,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v5_glib_001(B,A) & m3_glib_001(B,A) & ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k11_glib_001(A,k8_glib_001(A,B,1,C)) & ! [E] : ( r2_hidden(E,k11_glib_001(A,k8_glib_001(A,B,1,C))) => k1_funct_1(D,E) = k2_xtuple_0(E) ) ) ) )).
fof(s3_funct_1__e6_37__finset_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k2_xtuple_0(C) ) ) )).
fof(s3_funct_1__e6_52__waybel26,axiom,( ! [A] : ( v1_finset_1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k2_xfamily(C) ) ) ) )).
fof(s3_funct_1__e7_129__pboole,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = A & ! [F] : ( r2_hidden(F,A) => k1_funct_1(E,F) = k14_funcop_1(C,F,D,k1_funct_1(B,F)) ) ) ) )).
fof(s3_funct_1__e7_15__funct_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_tarski(k1_xboole_0) ) ) )).
fof(s3_funct_1__e7_34_1_2__card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_xtuple_0(A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(A)) => k1_funct_1(C,D) = k1_funct_1(B,k1_funct_1(A,D)) ) ) ) )).
fof(s3_funct_1__e7_48_5__card_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) & v1_relat_1(C) & v1_funct_1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k9_xtuple_0(A) & ! [E] : ( r2_hidden(E,k9_xtuple_0(A)) => k1_funct_1(D,E) = k6_subset_1(k1_funct_1(B,E),k5_card_3(E,k7_relat_1(C,k1_funct_1(k2_card_3(A),E)))) ) ) ) )).
fof(s3_funct_1__e8_35__laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_hidden(E,C) => k1_funct_1(D,E) = a_3_5_laplace(A,B,E) ) ) ) )).
fof(s3_funct_1__e9_1_1_1__simplex1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k5_relat_1(B,A) & ! [E] : ( r2_hidden(E,k5_relat_1(B,A)) => k1_funct_1(D,E) = k4_tarski(k1_xtuple_0(E),k1_funct_1(k1_funct_1(C,k1_xtuple_0(E)),k2_xtuple_0(E))) ) ) ) )).
fof(s3_funct_1__e9_26_2_2__graph_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & v7_graph_1(B,A) & m2_graph_1(B,A) & v7_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_3_0_graph_4(A,B,C) & ! [E] : ( r2_hidden(E,a_3_0_graph_4(A,B,C)) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s3_funct_1__e9_27_1__funct_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = k1_xboole_0 ) ) )).
fof(s3_funct_1__e9_74__aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(o_2_7_aofa_l00(A,B)),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_2_7_aofa_l00(A,B)),C))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k3_finseq_2(u1_struct_0(o_2_7_aofa_l00(A,B))) & ! [F] : ( r2_hidden(F,k3_finseq_2(u1_struct_0(o_2_7_aofa_l00(A,B)))) => k1_funct_1(E,F) = k3_relat_1(k10_subset_1(F,k3_finseq_2(u1_struct_0(o_2_7_aofa_l00(A,B)))),D) ) ) ) )).
fof(s3_funct_2__e10_10__fcont_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ~ r1_xxreal_0(F,k6_xcmplx_0(A,k7_xcmplx_0(D,k2_xcmplx_0(E,1)))) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(D,k2_xcmplx_0(E,1))),F) & k1_funct_1(C,F) = B & r2_hidden(F,k1_relset_1(k1_numbers,C)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k6_xcmplx_0(A,k7_xcmplx_0(D,k2_xcmplx_0(F,1)))) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(D,k2_xcmplx_0(F,1))),k3_funct_2(k4_ordinal1,k1_numbers,E,F)) & k1_funct_1(C,k3_funct_2(k4_ordinal1,k1_numbers,E,F)) = B & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,C)) ) ) ) ) ) )).
fof(s3_funct_2__e10_12__nfcont_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,G,H))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,G),k7_partfun1(u1_struct_0(B),C,H)))) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),D) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(I,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),I))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G)),k7_partfun1(u1_struct_0(B),C,I)))) ) ) ) ) ) ) )).
fof(s3_funct_2__e10_20_1_1_2__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & v7_ordinal1(C) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_finseq_1(E,u1_struct_0(B)) ) => ( ! [F] : ( m1_subset_1(F,k4_finseq_2(C,u1_struct_0(A))) => ? [G] : ( m1_subset_1(G,u1_struct_0(k1_vectsp_7(A,B,D))) & ? [H] : ( m2_vectsp_6(H,A,B,D) & ! [I] : ( r2_tarski(I,k9_xtuple_0(F)) => k1_funct_1(H,k1_funct_1(E,I)) = k1_funct_1(F,I) ) & G = k4_rlvect_1(B,k3_vectsp_6(A,B,E,H)) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(C,u1_struct_0(A)),u1_struct_0(k1_vectsp_7(A,B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,u1_struct_0(A)),u1_struct_0(k1_vectsp_7(A,B,D))))) & ! [G] : ( m1_subset_1(G,k4_finseq_2(C,u1_struct_0(A))) => ? [J] : ( m2_vectsp_6(J,A,B,D) & ! [K] : ( r2_tarski(K,k9_xtuple_0(G)) => k1_funct_1(J,k1_funct_1(E,K)) = k1_funct_1(G,K) ) & k3_funct_2(k4_finseq_2(C,u1_struct_0(A)),u1_struct_0(k1_vectsp_7(A,B,D)),F,G) = k4_rlvect_1(B,k3_vectsp_6(A,B,E,J)) ) ) ) ) ) )).
fof(s3_funct_2__e10_20__integr19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & ? [G] : ( m1_integr15(G,A,B,k2_integra2(A,C,E)) & G = F & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(k2_integra2(A,C,E))) & ! [I] : ( m1_subset_1(I,k1_numbers) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),H),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),H)))) & I = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),H)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),H)) & k1_funct_1(G,H) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),H)),I) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [J] : ( m1_integr15(J,A,B,k2_integra2(A,C,F)) & J = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) & ! [K] : ( v7_ordinal1(K) => ~ ( r2_tarski(K,k4_finseq_1(k2_integra2(A,C,F))) & ! [L] : ( m1_subset_1(L,k1_numbers) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,F),K),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,F),K)))) & L = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,F),K)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,F),K)) & k1_funct_1(J,K) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,F),K)),L) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e10_23__integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & ? [G] : ( m1_integr15(G,A,B,k2_integra2(A,C,E)) & G = F & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k4_finseq_1(k2_integra2(A,C,E))) & ! [I] : ( m1_subset_1(I,k1_numbers) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),H),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),H)))) & I = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),H)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),H)) & k1_funct_1(G,H) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),H)),I) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [J] : ( m1_integr15(J,A,B,k2_integra2(A,C,F)) & J = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) & ! [K] : ( v7_ordinal1(K) => ~ ( r2_tarski(K,k4_finseq_1(k2_integra2(A,C,F))) & ! [L] : ( m1_subset_1(L,k1_numbers) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,F),K),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,F),K)))) & L = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,F),K)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,F),K)) & k1_funct_1(J,K) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,F),K)),L) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e10_36__urysohn1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A))))) & ~ v1_xboole_0(D) ) => ( ! [E] : ( m1_subset_1(E,D) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & ! [G] : ( m2_subset_1(G,k1_numbers,k1_urysohn1(k1_nat_1(B,1))) => ( ( r2_tarski(G,D) & E = G ) => ! [H] : ( m2_subset_1(H,k1_numbers,k1_urysohn1(B)) => ! [I] : ( m2_subset_1(I,k1_numbers,k1_urysohn1(B)) => ( ( H = k7_xcmplx_0(k6_xcmplx_0(k5_urysohn1(k1_nat_1(B,1),G),1),k11_newton(2,k1_nat_1(B,1))) & I = k7_xcmplx_0(k1_nat_1(k5_urysohn1(k1_nat_1(B,1),G),1),k11_newton(2,k1_nat_1(B,1))) ) => m1_urysohn1(F,A,k3_funct_2(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A)),C,H),k3_funct_2(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A)),C,I)) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k1_zfmisc_1(u1_struct_0(A))))) & ! [F] : ( m1_subset_1(F,D) => ! [J] : ( m2_subset_1(J,k1_numbers,k1_urysohn1(k1_nat_1(B,1))) => ( ( r2_tarski(J,D) & F = J ) => ! [K] : ( m2_subset_1(K,k1_numbers,k1_urysohn1(B)) => ! [L] : ( m2_subset_1(L,k1_numbers,k1_urysohn1(B)) => ( ( K = k7_xcmplx_0(k6_xcmplx_0(k5_urysohn1(k1_nat_1(B,1),J),1),k11_newton(2,k1_nat_1(B,1))) & L = k7_xcmplx_0(k1_nat_1(k5_urysohn1(k1_nat_1(B,1),J),1),k11_newton(2,k1_nat_1(B,1))) ) => m1_urysohn1(k3_funct_2(D,k1_zfmisc_1(u1_struct_0(A)),E,F),A,k3_funct_2(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A)),C,K),k3_funct_2(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A)),C,L)) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e10_45_1_2__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_zmodul02(A,B)))) ) => ( ! [E] : ( m1_subset_1(E,D) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,E) & r2_tarski(F,C) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,D) => ( r2_tarski(k3_funct_2(D,u1_struct_0(B),E,F),F) & r2_tarski(k3_funct_2(D,u1_struct_0(B),E,F),C) ) ) ) ) ) )).
fof(s3_funct_2__e10_59__hilbert3,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ? [B] : ( m1_subset_1(B,k4_numbers) & ? [C] : ( v1_int_1(C) & A = C & B = k2_xcmplx_0(C,1) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_numbers,k4_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers))) & ! [B] : ( m1_subset_1(B,k4_numbers) => ? [D] : ( v1_int_1(D) & B = D & k3_funct_2(k4_numbers,k4_numbers,A,B) = k2_xcmplx_0(D,1) ) ) ) )).
fof(s3_funct_2__e11_13_1__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_finseq_2(u1_struct_0(A))) & ? [H] : ( m1_integr18(H,A,B,C,k2_integra2(B,D,F)) & H = G & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(k2_integra2(B,D,F))) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),I),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)))) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),I)) & k1_funct_1(H,I) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),I))) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [K] : ( m1_integr18(K,A,B,C,k2_integra2(B,D,G)) & K = k3_funct_2(k4_ordinal1,k3_finseq_2(u1_struct_0(A)),F,G) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(k2_integra2(B,D,G))) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,G),L),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)))) & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,G),L)) & k1_funct_1(K,L) = k1_rlvect_1(A,M,k3_integra1(k2_integra1(B,k2_integra2(B,D,G),L))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e11_24_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m4_measure8(E,A,B,D) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & ( F != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(G,H) = k1_measure8(A,B,k3_measure8(A,B,D,E,F),H) ) ) & ( F = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(G,H) = k1_xboole_0 ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( G != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A)),F,G),I) = k1_measure8(A,B,k3_measure8(A,B,D,E,G),I) ) ) & ( G = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A)),F,G),I) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s3_funct_2__e11_28__ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k1_numbers) => ? [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) & ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) & E = F & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k2_finseq_1(A)) => k1_funct_1(F,G) = k1_funct_1(k1_pdiff_1(1,1),k1_rlvect_1(k4_real_ns1(1),k1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(G,A)),C),D)) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & ! [E] : ( m1_subset_1(E,k1_numbers) => ? [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) & k3_funct_2(k1_numbers,u1_struct_0(k4_real_ns1(A)),D,E) = H & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( r2_tarski(I,k2_finseq_1(A)) => k1_funct_1(H,I) = k1_funct_1(k1_pdiff_1(1,1),k1_rlvect_1(k4_real_ns1(1),k1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(I,A)),C),E)) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e11_29_1__measure7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & m2_measure7(D,C) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & ( E = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => k1_funct_1(F,G) = k2_measure7(k8_nat_1(k9_setfam_1(k1_numbers),C,E),k4_measure7(C,D,E),G) ) ) & ( E != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => k1_funct_1(F,G) = k1_xboole_0 ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( F = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers)),E,F),H) = k2_measure7(k8_nat_1(k9_setfam_1(k1_numbers),C,F),k4_measure7(C,D,F),H) ) ) & ( F != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers)),E,F),H) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s3_funct_2__e11_30_1__ndiff_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & r2_tarski(C,A) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(k2_seq_4(A),C)),k7_xcmplx_0(1,k1_nat_1(B,1))) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,k1_numbers,B,C),A) & r1_xxreal_0(k9_complex1(k6_xcmplx_0(k2_seq_4(A),k3_funct_2(k4_ordinal1,k1_numbers,B,C))),k7_xcmplx_0(1,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(s3_funct_2__e11_34__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))) & v5_pre_topc(B,k2_borsuk_1(A,k5_topmetr),k8_toprealb(2)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))))) & m1_subset_1(C,u1_struct_0(A)) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),D))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => ? [G] : ( m1_subset_1(G,k9_setfam_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_topmetr)))) & ? [H] : ( v3_pre_topc(H,A) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & ? [I] : ( v3_pre_topc(I,k5_topmetr) & v2_connsp_1(I,k5_topmetr) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k5_topmetr))) & r2_tarski(C,H) & r2_hidden(F,I) & r1_tarski(k7_relset_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k3_borsuk_1(A,k5_topmetr,H,I)),k1_funct_1(E,F)) & G = k3_borsuk_1(A,k5_topmetr,H,I) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),k9_setfam_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_topmetr)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),k9_setfam_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_topmetr)))))) & ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ? [J] : ( v3_pre_topc(J,A) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & ? [K] : ( v3_pre_topc(K,k5_topmetr) & v2_connsp_1(K,k5_topmetr) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(k5_topmetr))) & r2_tarski(C,J) & r2_hidden(G,K) & r1_tarski(k7_relset_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k3_borsuk_1(A,k5_topmetr,J,K)),k1_funct_1(E,G)) & k3_funct_2(u1_struct_0(k5_topmetr),k9_setfam_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_topmetr))),F,G) = k3_borsuk_1(A,k5_topmetr,J,K) ) ) ) ) ) ) )).
fof(s3_funct_2__e11_35__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k2_borsuk_1(A,k5_topmetr))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k2_topalg_2)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) & ? [H] : ( ~ v1_xboole_0(H) & v3_pre_topc(H,A) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2)))) & D = k4_borsuk_1(A,k5_topmetr,F,G) & E = k1_funct_1(I,D) & r2_tarski(F,H) & v5_pre_topc(I,k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k2_zfmisc_1(H,u1_struct_0(k5_topmetr))) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),I,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2),I,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(H,u1_struct_0(k5_topmetr))) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2)))) ) => ( ( v5_pre_topc(J,k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k2_zfmisc_1(H,u1_struct_0(k5_topmetr))) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),J,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2),J,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(H,u1_struct_0(k5_topmetr))) ) => r2_funct_2(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,H),k5_topmetr)),u1_struct_0(k2_topalg_2),I,J) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_borsuk_1(A,k5_topmetr))) => ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_subset_1(L,u1_struct_0(k5_topmetr)) & ? [M] : ( ~ v1_xboole_0(M) & v3_pre_topc(M,A) & m1_subset_1(M,k1_zfmisc_1(u1_struct_0(A))) & ? [N] : ( v1_funct_1(N) & v1_funct_2(N,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2)))) & E = k4_borsuk_1(A,k5_topmetr,K,L) & k3_funct_2(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2),D,E) = k1_funct_1(N,E) & r2_tarski(K,M) & v5_pre_topc(N,k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k2_zfmisc_1(M,u1_struct_0(k5_topmetr))) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),N,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2),N,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(M,u1_struct_0(k5_topmetr))) & ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2)))) ) => ( ( v5_pre_topc(O,k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k2_zfmisc_1(M,u1_struct_0(k5_topmetr))) = k1_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),O,k12_toprealb) & k2_partfun1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2),O,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k2_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),C,k2_zfmisc_1(M,u1_struct_0(k5_topmetr))) ) => r2_funct_2(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,M),k5_topmetr)),u1_struct_0(k2_topalg_2),N,O) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e11_36_1__asympt_1,axiom,( ! [A] : ! [B] : ( ( m2_funct_2(A,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & m1_subset_1(B,k1_numbers) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ( ~ r1_xxreal_0(B,C) => D = 1 ) & ( r1_xxreal_0(B,C) => D = k3_power(C,k8_nat_1(k1_numbers,A,C)) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( ~ r1_xxreal_0(B,D) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = 1 ) & ( r1_xxreal_0(B,D) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k3_power(D,k8_nat_1(k1_numbers,A,D)) ) ) ) ) ) ) )).
fof(s3_funct_2__e12_25__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A))))) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & D = E & v1_tops_2(k2_nagata_1(A,E),A) & m1_setfam_1(k2_nagata_1(A,E),u1_struct_0(A)) & r1_setfam_1(k2_nagata_1(A,E),k1_funct_1(B,C)) & v2_nagata_1(E,A) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A))))))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))),C,D) = F & v1_tops_2(k2_nagata_1(A,F),A) & m1_setfam_1(k2_nagata_1(A,F),u1_struct_0(A)) & r1_setfam_1(k2_nagata_1(A,F),k1_funct_1(B,D)) & v2_nagata_1(F,A) ) ) ) ) ) )).
fof(s3_funct_2__e12_34__ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,F,G),H))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k1_normsp_0(A,F,G)),k7_partfun1(u1_struct_0(B),C,H)))) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H),D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(H,1)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,F,H),k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H)))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k1_normsp_0(A,F,H)),k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H))))) ) ) ) ) ) )).
fof(s3_funct_2__e12_35__ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(B,k5_algstr_0(B,k1_normsp_0(B,F,G),H))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k1_normsp_0(B,F,G)),k7_partfun1(u1_struct_0(A),C,H)))) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(B),G,H),D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(H,1)),k2_normsp_0(B,k5_algstr_0(B,k1_normsp_0(B,F,H),k3_funct_2(k4_ordinal1,u1_struct_0(B),G,H)))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k1_normsp_0(B,F,H)),k7_partfun1(u1_struct_0(A),C,k3_funct_2(k4_ordinal1,u1_struct_0(B),G,H))))) ) ) ) ) ) )).
fof(s3_funct_2__e12_36__ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,F,G),H))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k1_normsp_0(A,F,G)),k7_partfun1(u1_struct_0(B),C,H)))) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H),D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(H,1)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,F,H),k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H)))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k1_normsp_0(A,F,H)),k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H))))) ) ) ) ) ) )).
fof(s3_funct_2__e12_48__scmfsa9a,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v7_ordinal1(E) & v1_funct_1(F) & v1_funct_2(F,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) ) => ( ! [G] : ( m1_subset_1(G,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) => ? [H] : ( m1_subset_1(H,k4_ordinal1) & ~ ( ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(I,E) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,G) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),I)) & H = k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,F,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),I)) ) ) & ~ ( ! [I] : ( v7_ordinal1(I) => ~ ( r1_xxreal_0(I,E) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,G) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),I)) ) ) & H = k5_numbers ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [H] : ( m1_subset_1(H,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) => ~ ( ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(J,E) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,H) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),J)) & k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,G,H) = k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,F,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),J)) ) ) & ~ ( ! [J] : ( v7_ordinal1(J) => ~ ( r1_xxreal_0(J,E) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,H) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k2_scmfsa_9(B,D,C,A),J)) ) ) & k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,G,H) = k5_numbers ) ) ) ) ) ) )).
fof(s3_funct_2__e12_52__mesfun7c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & F = k8_subset_1(A,D,k13_mesfunc1(k55_valued_1(A,k2_numbers,C),k2_extreal1(1,k1_nat_1(E,1)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,B,E,F) = k8_subset_1(A,D,k13_mesfunc1(k55_valued_1(A,k2_numbers,C),k2_extreal1(1,k1_nat_1(F,1)))) ) ) ) ) )).
fof(s3_funct_2__e12_59__group_19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_group_7(D) & v2_group_7(D,A) & v3_group_7(D,A) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k3_group_7(A,D))) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & F = k1_funct_1(E,C) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_group_7(A,D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A,D)),u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k3_group_7(A,D))) => k3_funct_2(u1_struct_0(k3_group_7(A,D)),u1_struct_0(B),E,F) = k1_funct_1(F,C) ) ) ) ) )).
fof(s3_funct_2__e12_6__mesfunc7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & F = k9_subset_1(A,D,k17_mesfunc1(A,k9_mesfunc1(A,C),k2_extreal1(1,k1_nat_1(E,1)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,B,E,F) = k9_subset_1(A,D,k17_mesfunc1(A,k9_mesfunc1(A,C),k2_extreal1(1,k1_nat_1(F,1)))) ) ) ) ) )).
fof(s3_funct_2__e13_11_1_1_1__measure7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k6_numbers) & ( E != k1_recdef_1(B,k1_nat_1(C,1)) => F = k12_supinf_2(D,E) ) & ( E = k1_recdef_1(B,k1_nat_1(C,1)) => F = k1_supinf_2 ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( F != k1_recdef_1(B,k1_nat_1(C,1)) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k12_supinf_2(D,F) ) & ( F = k1_recdef_1(B,k1_nat_1(C,1)) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k1_supinf_2 ) ) ) ) ) ) )).
fof(s3_funct_2__e13_12__nfcont_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,F,G),H))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k1_normsp_0(A,F,G)),k7_partfun1(u1_struct_0(B),C,H)))) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H),D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(H,1)),k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,F,H),k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H)))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k1_normsp_0(A,F,H)),k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),G,H))))) ) ) ) ) ) )).
fof(s3_funct_2__e13_1__urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( m1_subset_1(D,k1_urysohn1(k5_numbers)) => ? [E] : ( m1_subset_1(E,k9_setfam_1(u1_struct_0(A))) & ( D = k5_numbers => E = C ) & ( D = 1 => E = B ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( m1_subset_1(E,k1_urysohn1(k5_numbers)) => ( ( E = k5_numbers => k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,E) = C ) & ( E = 1 => k3_funct_2(k1_urysohn1(k5_numbers),k9_setfam_1(u1_struct_0(A)),D,E) = B ) ) ) ) ) ) )).
fof(s3_funct_2__e13_23_1_1__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v7_ordinal1(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,k9_setfam_1(u1_struct_0(A))) & r2_tarski(D,E) & v3_pre_topc(E,A) & v1_finset_1(a_4_4_nagata_2(A,B,C,E)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,k3_funct_2(u1_struct_0(A),k9_setfam_1(u1_struct_0(A)),D,E)) & v3_pre_topc(k3_funct_2(u1_struct_0(A),k9_setfam_1(u1_struct_0(A)),D,E),A) & v1_finset_1(a_5_0_nagata_2(A,B,C,D,E)) ) ) ) ) ) )).
fof(s3_funct_2__e13_36__urysohn1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(B),k1_zfmisc_1(u1_struct_0(A))))) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,D,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k1_zfmisc_1(u1_struct_0(A))))) ) => ( ! [F] : ( m1_subset_1(F,k1_urysohn1(k1_nat_1(B,1))) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ! [H] : ( m2_subset_1(H,k1_numbers,k1_urysohn1(k1_nat_1(B,1))) => ( F = H => ( ( r2_tarski(H,k1_urysohn1(B)) => G = k1_funct_1(C,H) ) & ( ~ r2_tarski(H,k1_urysohn1(B)) => G = k1_funct_1(E,H) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_urysohn1(k1_nat_1(B,1)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(k1_nat_1(B,1)),k1_zfmisc_1(u1_struct_0(A))))) & ! [G] : ( m1_subset_1(G,k1_urysohn1(k1_nat_1(B,1))) => ! [I] : ( m2_subset_1(I,k1_numbers,k1_urysohn1(k1_nat_1(B,1))) => ( G = I => ( ( r2_tarski(I,k1_urysohn1(B)) => k3_funct_2(k1_urysohn1(k1_nat_1(B,1)),k1_zfmisc_1(u1_struct_0(A)),F,G) = k1_funct_1(C,I) ) & ( ~ r2_tarski(I,k1_urysohn1(B)) => k3_funct_2(k1_urysohn1(k1_nat_1(B,1)),k1_zfmisc_1(u1_struct_0(A)),F,G) = k1_funct_1(E,I) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e13_41__waybel20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [F] : ( m1_subset_1(F,E) => ? [G] : ( m1_subset_1(G,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & F = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k2_waybel20(A,B),H) & G = k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,H) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,D))) & ! [G] : ( m1_subset_1(G,E) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & G = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k2_waybel20(A,B),I) & k3_funct_2(E,D,F,G) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,I) ) ) ) ) ) )).
fof(s3_funct_2__e13_60__mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k2_numbers)) & v1_mesfunc8(D,A,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k2_numbers) & F = k1_mesfun6c(A,B,C,k4_mesfunc5(A,k2_numbers,D,E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k2_numbers,E,F) = k1_mesfun6c(A,B,C,k4_mesfunc5(A,k2_numbers,D,F)) ) ) ) ) )).
fof(s3_funct_2__e14_21_3__arrow,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(C,A) & m1_subset_1(D,B) & m2_funct_2(E,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) & m2_funct_2(F,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) & m1_subset_1(G,A) & m1_subset_1(H,A) ) => ( ! [I] : ( m1_subset_1(I,B) => ? [J] : ( m1_subset_1(J,k2_arrow(A)) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),F,I),H,G) & r1_arrow(J,H,G) ) & ~ ( ~ r1_arrow(J,H,G) & r1_arrow(k3_funct_2(B,k2_arrow(A),F,I),H,G) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),F,I),G,H) & r1_arrow(J,G,H) ) & ~ ( ~ r1_arrow(J,G,H) & r1_arrow(k3_funct_2(B,k2_arrow(A),F,I),G,H) ) & ( I = D => ( ~ r1_arrow(J,C,G) & ~ r1_arrow(J,H,C) ) ) & ( I != D => ( ( ! [K] : ( m1_subset_1(K,A) => ~ ( K != C & r1_arrow(k3_funct_2(B,k2_arrow(A),E,I),K,C) ) ) => ( ~ r1_arrow(J,G,C) & ~ r1_arrow(J,H,C) ) ) & ( ! [K] : ( m1_subset_1(K,A) => ~ ( K != C & r1_arrow(k3_funct_2(B,k2_arrow(A),E,I),C,K) ) ) => ( ~ r1_arrow(J,C,G) & ~ r1_arrow(J,C,H) ) ) ) ) ) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,B,k2_arrow(A)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(B,k2_arrow(A)))) & ! [J] : ( m1_subset_1(J,B) => ( ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),F,J),H,G) & r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),H,G) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),H,G) & r1_arrow(k3_funct_2(B,k2_arrow(A),F,J),H,G) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),F,J),G,H) & r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),G,H) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),G,H) & r1_arrow(k3_funct_2(B,k2_arrow(A),F,J),G,H) ) & ( J = D => ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),C,G) & ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),H,C) ) ) & ( J != D => ( ( ! [L] : ( m1_subset_1(L,A) => ~ ( L != C & r1_arrow(k3_funct_2(B,k2_arrow(A),E,J),L,C) ) ) => ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),G,C) & ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),H,C) ) ) & ( ! [L] : ( m1_subset_1(L,A) => ~ ( L != C & r1_arrow(k3_funct_2(B,k2_arrow(A),E,J),C,L) ) ) => ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),C,G) & ~ r1_arrow(k3_funct_2(B,k2_arrow(A),I,J),C,H) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e14_50_1_1__fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v2_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v9_ordinal1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_numbers) & ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( H = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),F) & I = k3_funct_2(k4_ordinal1,k1_numbers,E,F) ) => ( H = k1_funct_1(B,k2_xcmplx_0(I,G)) & r2_tarski(k2_xcmplx_0(I,G),k1_relset_1(k1_numbers,B)) & r2_tarski(k2_xcmplx_0(I,G),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A)))) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( J = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),G) & K = k3_funct_2(k4_ordinal1,k1_numbers,E,G) ) => ( J = k1_funct_1(B,k2_xcmplx_0(K,k3_funct_2(k4_ordinal1,k1_numbers,F,G))) & r2_tarski(k2_xcmplx_0(K,k3_funct_2(k4_ordinal1,k1_numbers,F,G)),k1_relset_1(k1_numbers,B)) & r2_tarski(k2_xcmplx_0(K,k3_funct_2(k4_ordinal1,k1_numbers,F,G)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A)))) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e14_51_1_1__fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v2_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(C) & v9_ordinal1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_numbers) & ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( H = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),F) & I = k3_funct_2(k4_ordinal1,k1_numbers,E,F) ) => ( H = k1_funct_1(B,k2_xcmplx_0(I,G)) & r2_tarski(k2_xcmplx_0(I,G),k1_relset_1(k1_numbers,B)) & r2_tarski(k2_xcmplx_0(I,G),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A)))) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( J = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),G) & K = k3_funct_2(k4_ordinal1,k1_numbers,E,G) ) => ( J = k1_funct_1(B,k2_xcmplx_0(K,k3_funct_2(k4_ordinal1,k1_numbers,F,G))) & r2_tarski(k2_xcmplx_0(K,k3_funct_2(k4_ordinal1,k1_numbers,F,G)),k1_relset_1(k1_numbers,B)) & r2_tarski(k2_xcmplx_0(K,k3_funct_2(k4_ordinal1,k1_numbers,F,G)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A)))) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e14_52_1_1__fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v2_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(D) & v9_ordinal1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(F) & v3_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,k1_numbers) & ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ( ( I = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),G) & J = k3_funct_2(k4_ordinal1,k1_numbers,F,G) ) => ( I = k1_funct_1(C,k2_xcmplx_0(J,H)) & r2_tarski(k2_xcmplx_0(J,H),k1_relset_1(k1_numbers,C)) & r2_tarski(k2_xcmplx_0(J,H),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A)))) ) ) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ( ( K = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),H) & L = k3_funct_2(k4_ordinal1,k1_numbers,F,H) ) => ( K = k1_funct_1(C,k2_xcmplx_0(L,k3_funct_2(k4_ordinal1,k1_numbers,G,H))) & r2_tarski(k2_xcmplx_0(L,k3_funct_2(k4_ordinal1,k1_numbers,G,H)),k1_relset_1(k1_numbers,C)) & r2_tarski(k2_xcmplx_0(L,k3_funct_2(k4_ordinal1,k1_numbers,G,H)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A)))) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e14_58__mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k2_numbers)) & v1_mesfunc8(D,A,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k2_numbers) & F = k1_mesfun6c(A,B,C,k4_mesfunc5(A,k2_numbers,D,E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k2_numbers,E,F) = k1_mesfun6c(A,B,C,k4_mesfunc5(A,k2_numbers,D,F)) ) ) ) ) )).
fof(s3_funct_2__e15_31_7_1_2__measure7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & ? [E] : ( m1_measure7(E,k8_nat_1(k9_setfam_1(k1_numbers),A,C)) & D = E & ~ r1_xxreal_0(k3_supinf_2(k7_supinf_2(k8_measure7(k8_nat_1(k9_setfam_1(k1_numbers),A,C))),k12_supinf_2(B,C)),k6_measure7(k8_nat_1(k9_setfam_1(k1_numbers),A,C),E)) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [F] : ( m1_measure7(F,k8_nat_1(k9_setfam_1(k1_numbers),A,D)) & k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers)),C,D) = F & ~ r1_xxreal_0(k3_supinf_2(k7_supinf_2(k8_measure7(k8_nat_1(k9_setfam_1(k1_numbers),A,D))),k12_supinf_2(B,D)),k6_measure7(k8_nat_1(k9_setfam_1(k1_numbers),A,D),F)) ) ) ) ) ) )).
fof(s3_funct_2__e15_32_1_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & ? [H] : ( m3_measure8(H,A,k8_nat_1(k9_setfam_1(A),D,F),B) & G = H & ~ r1_xxreal_0(k1_xxreal_3(k7_supinf_2(k5_measure8(A,B,C,k8_nat_1(k9_setfam_1(A),D,F))),k8_nat_1(k6_numbers,E,F)),k17_supinf_2(k2_measure8(A,B,C,H))) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [I] : ( m3_measure8(I,A,k8_nat_1(k9_setfam_1(A),D,G),B) & k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A)),F,G) = I & ~ r1_xxreal_0(k1_xxreal_3(k7_supinf_2(k5_measure8(A,B,C,k8_nat_1(k9_setfam_1(A),D,G))),k8_nat_1(k6_numbers,E,G)),k17_supinf_2(k2_measure8(A,B,C,I))) ) ) ) ) ) )).
fof(s3_funct_2__e15_72_1__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ( ~ ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k8_nat_1(k1_numbers,A,E)) & r1_xxreal_0(D,E) ) => F = k8_nat_1(k1_numbers,C,E) ) & ( r1_xxreal_0(D,E) => ( r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k8_nat_1(k1_numbers,A,E)) | F = k5_numbers ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( ~ ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,F),k8_nat_1(k1_numbers,A,F)) & r1_xxreal_0(D,F) ) => k3_funct_2(k4_ordinal1,k1_numbers,E,F) = k8_nat_1(k1_numbers,C,F) ) & ( r1_xxreal_0(D,F) => ( r1_xxreal_0(k8_nat_1(k1_numbers,B,F),k8_nat_1(k1_numbers,A,F)) | k3_funct_2(k4_ordinal1,k1_numbers,E,F) = k5_numbers ) ) ) ) ) ) ) )).
fof(s3_funct_2__e15_82__lpspace1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & F = k13_mesfunc1(k56_valued_1(A,k1_numbers,D),k2_extreal1(1,k1_nat_1(E,1))) & k1_funct_1(C,F) = k5_numbers ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,B,E,F) = k13_mesfunc1(k56_valued_1(A,k1_numbers,D),k2_extreal1(1,k1_nat_1(F,1))) & k1_funct_1(C,k3_funct_2(k4_ordinal1,B,E,F)) = k5_numbers ) ) ) ) ) )).
fof(s3_funct_2__e16_21_1__arrow,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m2_funct_2(C,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) ) => ( ! [G] : ( m1_subset_1(G,B) => ? [H] : ( m1_subset_1(H,k2_arrow(A)) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),D,E) & r1_arrow(H,D,E) ) & ~ ( ~ r1_arrow(H,D,E) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),D,E) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),E,D) & r1_arrow(H,E,D) ) & ~ ( ~ r1_arrow(H,E,D) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),E,D) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),F,D) & r1_arrow(H,F,D) ) & ~ ( ~ r1_arrow(H,F,D) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),F,D) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),D,F) & r1_arrow(H,D,F) ) & ~ ( ~ r1_arrow(H,D,F) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,G),D,F) ) & ~ r1_arrow(H,E,F) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,B,k2_arrow(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,k2_arrow(A)))) & ! [H] : ( m1_subset_1(H,B) => ( ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),D,E) & r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),D,E) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),D,E) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),D,E) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),E,D) & r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),E,D) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),E,D) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),E,D) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),F,D) & r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),F,D) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),F,D) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),F,D) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),D,F) & r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),D,F) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),D,F) & r1_arrow(k3_funct_2(B,k2_arrow(A),C,H),D,F) ) & ~ r1_arrow(k3_funct_2(B,k2_arrow(A),G,H),E,F) ) ) ) ) ) )).
fof(s3_funct_2__e16_37_1__nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = k7_subset_1(u1_struct_0(A),k8_nat_1(k1_zfmisc_1(u1_struct_0(A)),C,D),k3_tarski(a_3_3_nagata_1(A,B,D))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),D,E) = k7_subset_1(u1_struct_0(A),k8_nat_1(k1_zfmisc_1(u1_struct_0(A)),C,E),k3_tarski(a_3_3_nagata_1(A,B,E))) ) ) ) ) )).
fof(s3_funct_2__e16_40_1_1__bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A)))))) & v3_ordinal1(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & ? [F] : ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) & k1_funct_1(B,D) = F & E = k1_recdef_1(F,C) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) & k1_funct_1(B,E) = G & k3_funct_2(k4_ordinal1,k4_ordinal1,D,E) = k1_recdef_1(G,C) ) ) ) ) ) )).
fof(s3_funct_2__e16_45_1_2__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) & m1_vectsp_6(C,k9_int_3(A),k12_zmodul02(A,B)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_zmodul02(A,B)))) & v1_funct_1(E) & v1_funct_2(E,D,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,u1_struct_0(B)))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ? [G] : ( m1_subset_1(G,u1_struct_0(k9_int_3(A))) & ( r2_tarski(F,k2_relset_1(u1_struct_0(B),E)) => G = k3_funct_2(u1_struct_0(k12_zmodul02(A,B)),u1_struct_0(k9_int_3(A)),C,k13_zmodul02(A,B,F)) ) & ( ~ r2_tarski(F,k2_relset_1(u1_struct_0(B),E)) => G = k5_numbers ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(k9_int_3(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k9_int_3(A))))) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(G,k2_relset_1(u1_struct_0(B),E)) => k3_funct_2(u1_struct_0(B),u1_struct_0(k9_int_3(A)),F,G) = k3_funct_2(u1_struct_0(k12_zmodul02(A,B)),u1_struct_0(k9_int_3(A)),C,k13_zmodul02(A,B,G)) ) & ( ~ r2_tarski(G,k2_relset_1(u1_struct_0(B),E)) => k3_funct_2(u1_struct_0(B),u1_struct_0(k9_int_3(A)),F,G) = k5_numbers ) ) ) ) ) ) )).
fof(s3_funct_2__e16_62__mesfun9c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k2_numbers)) & v1_mesfunc8(D,A,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k2_numbers) & F = k1_mesfun6c(A,B,C,k4_mesfunc5(A,k2_numbers,D,E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k2_numbers,E,F) = k1_mesfun6c(A,B,C,k4_mesfunc5(A,k2_numbers,D,F)) ) ) ) ) )).
fof(s3_funct_2__e16_65_1_1_2__cat_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) & ~ v2_struct_0(B) & v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) & v1_relat_1(C) & v1_funct_1(C) & v1_relat_1(D) & v1_funct_1(D) ) => ( ! [E] : ( m1_subset_1(E,k5_cat_7(A)) => ? [F] : ( m1_subset_1(F,k5_cat_7(B)) & ! [G] : ! [H] : ( E = k4_tarski(G,H) => F = k4_tarski(k1_funct_1(k3_relat_1(C,k2_funct_1(D)),G),k1_funct_1(k3_relat_1(C,k2_funct_1(D)),H)) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k5_cat_7(A),k5_cat_7(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_cat_7(A),k5_cat_7(B)))) & ! [F] : ( m1_subset_1(F,k5_cat_7(A)) => ! [I] : ! [J] : ( F = k4_tarski(I,J) => k3_funct_2(k5_cat_7(A),k5_cat_7(B),E,F) = k4_tarski(k1_funct_1(k3_relat_1(C,k2_funct_1(D)),I),k1_funct_1(k3_relat_1(C,k2_funct_1(D)),J)) ) ) ) ) ) )).
fof(s3_funct_2__e16_71_1__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m2_funct_2(B,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ( r1_xxreal_0(k8_nat_1(k1_numbers,B,D),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,D))) => E = k5_numbers ) & ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,D),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,D))) => E = k6_xcmplx_0(k8_nat_1(k1_numbers,B,D),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,D))) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,E))) => k3_funct_2(k4_ordinal1,k1_numbers,D,E) = k5_numbers ) & ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,E))) => k3_funct_2(k4_ordinal1,k1_numbers,D,E) = k6_xcmplx_0(k8_nat_1(k1_numbers,B,E),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,E))) ) ) ) ) ) ) )).
fof(s3_funct_2__e17_160__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k9_setfam_1(u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = k8_nat_1(B,C,D) & E = k7_ideal_1(A,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = k8_nat_1(B,C,E) & k3_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),D,E) = k7_ideal_1(A,G) ) ) ) ) ) )).
fof(s3_funct_2__e17_59_1_2__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) ) => ( ! [F] : ( m1_subset_1(F,E) => ? [G] : ( m1_subset_1(G,B) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & ? [I] : ( m1_subset_1(I,C) & r2_tarski(H,D) & F = k4_tarski(H,I) & G = k1_funct_4(H,k17_funcop_1(A,I)) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,B))) & ! [G] : ( m1_subset_1(G,E) => ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & ? [K] : ( m1_subset_1(K,C) & r2_tarski(J,D) & G = k4_tarski(J,K) & k3_funct_2(E,B,F,G) = k1_funct_4(J,k17_funcop_1(A,K)) ) ) ) ) ) ) )).
fof(s3_funct_2__e17_83_2__waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) => ( ! [E] : ( m1_subset_1(E,C) => ? [F] : ( m1_subset_1(F,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & G = F & I = E & H = a_3_1_waybel_9(A,B,G) & I = k2_pre_topc(A,H) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,D))) & ! [F] : ( m1_subset_1(F,C) => ? [J] : ( m1_subset_1(J,u1_struct_0(B)) & ? [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) & ? [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) & J = k3_funct_2(C,D,E,F) & L = F & K = a_3_1_waybel_9(A,B,J) & L = k2_pre_topc(A,K) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e17_89_1_1_1_1_2__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_finseq_1(A))) & m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & ( r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(B,F) ) & ( ~ r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(C,F) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( ( r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(B,G) ) & ( ~ r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(C,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e18_72_1__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m2_funct_2(C,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ( ( r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k8_nat_1(k1_numbers,A,E)) & r1_xxreal_0(D,E) ) => F = k5_numbers ) & ( ~ ( r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k8_nat_1(k1_numbers,A,E)) & r1_xxreal_0(D,E) ) => F = k8_nat_1(k1_numbers,C,E) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( ( r1_xxreal_0(k8_nat_1(k1_numbers,B,F),k8_nat_1(k1_numbers,A,F)) & r1_xxreal_0(D,F) ) => k3_funct_2(k4_ordinal1,k1_numbers,E,F) = k5_numbers ) & ( ~ ( r1_xxreal_0(k8_nat_1(k1_numbers,B,F),k8_nat_1(k1_numbers,A,F)) & r1_xxreal_0(D,F) ) => k3_funct_2(k4_ordinal1,k1_numbers,E,F) = k8_nat_1(k1_numbers,C,F) ) ) ) ) ) ) )).
fof(s3_funct_2__e19_24_1__measure8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => ( ! [B] : ( m1_subset_1(B,A) => ? [C] : ( m1_subset_1(C,k4_ordinal1) & C = k1_recdef_1(k5_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),B) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k4_ordinal1,B,C) = k1_recdef_1(k5_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),C) ) ) ) ) )).
fof(s3_funct_2__e20_89_1_1_1_1_2__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_finseq_1(A))) & m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & ( r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(B,F) ) & ( ~ r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(C,F) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( ( r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(B,G) ) & ( ~ r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(C,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e21_31_7_1_2__measure7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k6_numbers) & D = k3_supinf_2(k12_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(k1_numbers),k9_setfam_1(k1_numbers),k6_numbers,A,k10_measure7),C),k12_supinf_2(B,C)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,C,D) = k3_supinf_2(k12_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(k1_numbers),k9_setfam_1(k1_numbers),k6_numbers,A,k10_measure7),D),k12_supinf_2(B,D)) ) ) ) ) )).
fof(s3_funct_2__e22_4__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_numbers) & r2_hidden(G,C) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers,E,F),G))) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,k8_nat_1(k1_numbers,E,F)),k7_partfun1(u1_struct_0(A),B,G)))) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,F,G),C) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k9_complex1(k6_xcmplx_0(k8_nat_1(k1_numbers,E,G),k3_funct_2(k4_ordinal1,k1_numbers,F,G)))) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,k8_nat_1(k1_numbers,E,G)),k7_partfun1(u1_struct_0(A),B,k3_funct_2(k4_ordinal1,k1_numbers,F,G))))) ) ) ) ) ) )).
fof(s3_funct_2__e22_66__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & m1_card_fil(B,A) & ~ v1_finset_1(D) & v1_card_1(D) & v1_relat_1(E) & v1_funct_1(E) ) => ( ! [F] : ( m1_subset_1(F,D) => ? [G] : ( m1_subset_1(G,k2_tarski(k1_xboole_0,1)) & r2_tarski(k8_relat_1(E,a_4_1_card_fil(C,D,F,G)),B) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,D,k2_tarski(k1_xboole_0,1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,k2_tarski(k1_xboole_0,1)))) & ! [G] : ( m1_subset_1(G,D) => r2_tarski(k8_relat_1(E,a_4_2_card_fil(C,D,F,G)),B) ) ) ) ) )).
fof(s3_funct_2__e23_23_1_1__nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k9_funct_2(u1_struct_0(A),k1_numbers)) => ? [C] : ( m1_subset_1(C,k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_binop_1(C,D,E) = k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,D),k3_funct_2(u1_struct_0(A),k1_numbers,B,E))) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) & ! [C] : ( m1_subset_1(C,k9_funct_2(u1_struct_0(A),k1_numbers)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k1_binop_1(k3_funct_2(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers),B,C),F,G) = k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,C,F),k3_funct_2(u1_struct_0(A),k1_numbers,C,G))) ) ) ) ) ) ) )).
fof(s3_funct_2__e24_17__integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(C)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_integra1(C)) & ? [G] : ( v7_ordinal1(G) & ? [H] : ( m1_integra1(H,k3_integra5(B,A)) & G = E & H = F & H = k2_integra2(C,D,k1_nat_1(G,2)) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(C)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [I] : ( v7_ordinal1(I) & ? [J] : ( m1_integra1(J,k3_integra5(B,A)) & I = F & J = k3_funct_2(k4_ordinal1,k1_integra1(C),E,F) & J = k2_integra2(C,D,k1_nat_1(I,2)) ) ) ) ) ) ) )).
fof(s3_funct_2__e24_37_1__nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = k7_subset_1(u1_struct_0(A),k8_nat_1(k1_zfmisc_1(u1_struct_0(A)),B,D),k3_tarski(a_3_3_nagata_1(A,C,D))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A)),D,E) = k7_subset_1(u1_struct_0(A),k8_nat_1(k1_zfmisc_1(u1_struct_0(A)),B,E),k3_tarski(a_3_3_nagata_1(A,C,E))) ) ) ) ) )).
fof(s3_funct_2__e25_71_1__asympt_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m2_funct_2(B,k4_ordinal1,k1_numbers,k9_funct_2(k4_ordinal1,k1_numbers)) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ( r1_xxreal_0(k8_nat_1(k1_numbers,B,D),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,D))) => E = k8_nat_1(k1_numbers,B,D) ) & ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,D),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,D))) => E = k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,D)) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,E))) => k3_funct_2(k4_ordinal1,k1_numbers,D,E) = k8_nat_1(k1_numbers,B,E) ) & ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,E),k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,E))) => k3_funct_2(k4_ordinal1,k1_numbers,D,E) = k3_xcmplx_0(C,k8_nat_1(k1_numbers,A,E)) ) ) ) ) ) ) )).
fof(s3_funct_2__e26_1__dualsp02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_dualsp01(B,A) & m1_subset_1(C,u1_struct_0(A)) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k4_normsp_3(A,D))) => ? [F] : ( m1_subset_1(F,k1_numbers) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( v1_xreal_0(H) & r1_struct_0(B,G) & E = k3_rlvect_1(A,G,k1_rlvect_1(A,C,H)) & F = H ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_normsp_3(A,D)),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_normsp_3(A,D)),k1_numbers))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k4_normsp_3(A,D))) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( v1_xreal_0(J) & r1_struct_0(B,I) & F = k3_rlvect_1(A,I,k1_rlvect_1(A,C,J)) & k3_funct_2(u1_struct_0(k4_normsp_3(A,D)),k1_numbers,E,F) = J ) ) ) ) ) ) )).
fof(s3_funct_2__e27_11__fcont_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & r2_hidden(F,B) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),F))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),k1_funct_1(A,F)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),B) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,D,F),k3_funct_2(k4_ordinal1,k1_numbers,E,F)))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,D,F)),k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,E,F))))) ) ) ) ) ) )).
fof(s3_funct_2__e28_18__integra6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(k3_integra5(B,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(B,A))))) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_integra1(k3_integra5(B,A))) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & ? [H] : ( m1_integra1(H,k3_integra5(B,A)) & G = E & H = F & H = k2_integra2(k3_integra5(B,A),C,k1_nat_1(G,D)) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(k3_integra5(B,A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(B,A))))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & ? [J] : ( m1_integra1(J,k3_integra5(B,A)) & I = F & J = k3_funct_2(k4_ordinal1,k1_integra1(k3_integra5(B,A)),E,F) & J = k2_integra2(k3_integra5(B,A),C,k1_nat_1(I,D)) ) ) ) ) ) ) )).
fof(s3_funct_2__e28_23_1_1__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k8_nat_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),B,C),k9_funct_2(u1_struct_0(A),k1_numbers)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k9_setfam_1(u1_struct_0(A))))) & v1_funct_1(F) & v1_funct_2(F,k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)))) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(k2_borsuk_1(A,A))) => ? [H] : ( m1_subset_1(H,k13_finseq_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) & v2_funct_1(H) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & k1_domain_1(u1_struct_0(A),u1_struct_0(A),I,J) = G & k10_xtuple_0(H) = a_8_0_nagata_2(A,B,C,D,E,F,I,J) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_borsuk_1(A,A)),k13_finseq_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k13_finseq_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))))) & ! [H] : ( m1_subset_1(H,u1_struct_0(k2_borsuk_1(A,A))) => ( v2_funct_1(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k13_finseq_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)),G,H)) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & k1_domain_1(u1_struct_0(A),u1_struct_0(A),K,L) = H & k10_xtuple_0(k3_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k13_finseq_1(k9_funct_2(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers)),G,H)) = a_8_0_nagata_2(A,B,C,D,E,F,K,L) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e29_115_1_1_5_2__ring_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v8_ideal_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) & ~ v1_xboole_0(D) & m2_finseq_1(D,u1_struct_0(A)) & ~ v1_xboole_0(E) & m2_finseq_1(E,u1_struct_0(A)) & m2_subset_1(F,k4_ordinal1,k4_finseq_1(D)) & ~ v1_xboole_0(G) & m2_finseq_1(G,u1_struct_0(A)) & v1_funct_1(H) & v1_funct_2(H,k4_finseq_1(E),k4_finseq_1(G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(E),k4_finseq_1(G)))) ) => ( ! [I] : ( m1_subset_1(I,k4_finseq_1(C)) => ? [J] : ( m1_subset_1(J,k4_finseq_1(D)) & ~ ( ~ ( J = k1_funct_1(H,I) & ~ r1_xxreal_0(F,k1_funct_1(H,I)) & I != k1_nat_1(B,1) ) & ~ ( J = k1_nat_1(k1_funct_1(H,I),1) & r1_xxreal_0(F,k1_funct_1(H,I)) & I != k1_nat_1(B,1) ) & ~ ( J = F & I = k1_nat_1(B,1) ) ) ) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_finseq_1(C),k4_finseq_1(D)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(C),k4_finseq_1(D)))) & ! [J] : ( m1_subset_1(J,k4_finseq_1(C)) => ~ ( ~ ( k3_funct_2(k4_finseq_1(C),k4_finseq_1(D),I,J) = k1_funct_1(H,J) & ~ r1_xxreal_0(F,k1_funct_1(H,J)) & J != k1_nat_1(B,1) ) & ~ ( k3_funct_2(k4_finseq_1(C),k4_finseq_1(D),I,J) = k1_nat_1(k1_funct_1(H,J),1) & r1_xxreal_0(F,k1_funct_1(H,J)) & J != k1_nat_1(B,1) ) & ~ ( k3_funct_2(k4_finseq_1(C),k4_finseq_1(D),I,J) = F & J = k1_nat_1(B,1) ) ) ) ) ) ) )).
fof(s3_funct_2__e29_17__integr21,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_integra1(A)) & ? [E] : ( m1_integra1(E,A) & E = k2_integra2(A,B,C) & D = k2_rfinseq(k1_numbers,1,E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [F] : ( m1_integra1(F,A) & F = k2_integra2(A,B,D) & k3_funct_2(k4_ordinal1,k1_integra1(A),C,D) = k2_rfinseq(k1_numbers,1,F) ) ) ) ) ) )).
fof(s3_funct_2__e29_40_1_1__bagorder,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A)))))) & v3_ordinal1(C) & v7_ordinal1(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k15_pre_poly(C)) & ? [G] : ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) & G = k8_nat_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A))),B,k2_xcmplx_0(D,E)) & F = k5_relat_1(G,C) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k15_pre_poly(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k15_pre_poly(C)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [H] : ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & v4_valued_0(H) & v2_pre_poly(H) & H = k8_nat_1(u1_struct_0(g1_orders_2(k15_pre_poly(A),k4_bagorder(A))),B,k2_xcmplx_0(D,F)) & k3_funct_2(k4_ordinal1,k15_pre_poly(C),E,F) = k5_relat_1(H,C) ) ) ) ) ) )).
fof(s3_funct_2__e2_115__gaussint,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k6_gaussint)) => ? [B] : ( m1_subset_1(B,k4_ordinal1) & ? [C] : ( v1_xcmplx_0(C) & v1_gaussint(C) & A = C & B = k16_gaussint(C) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k6_gaussint),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k6_gaussint),k4_ordinal1))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k6_gaussint)) => ? [D] : ( v1_xcmplx_0(D) & v1_gaussint(D) & B = D & k3_funct_2(u1_struct_0(k6_gaussint),k4_ordinal1,A,B) = k16_gaussint(D) ) ) ) )).
fof(s3_funct_2__e2_132__waybel_1,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,k12_lattice3(A,k13_lattice3(A,D,C),B),D) & r3_orders_2(A,D,k13_lattice3(A,k12_lattice3(A,D,B),C)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_orders_2(A,k12_lattice3(A,k13_lattice3(A,E,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)),C),E) & r3_orders_2(A,E,k13_lattice3(A,k12_lattice3(A,E,C),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_20__jgraph_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_numbers) & ! [E] : ( v1_xreal_0(E) => ( k1_funct_1(B,C) = E => D = k3_xcmplx_0(E,E) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( k1_funct_1(B,D) = F => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k3_xcmplx_0(F,F) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_21_1__asympt_1,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ( B = k5_numbers => C = k5_numbers ) & ( ~ r1_xxreal_0(B,k5_numbers) => C = k3_power(2,k2_power(B,A)) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( C = k5_numbers => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k5_numbers ) & ( ~ r1_xxreal_0(C,k5_numbers) => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k3_power(2,k2_power(C,A)) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_21_2_1__arrow,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m2_finseq_1(C,B) & m1_subset_1(D,k2_arrow(A)) & m1_subset_1(E,k2_arrow(A)) & v7_ordinal1(F) ) => ( ! [G] : ( m1_subset_1(G,B) => ? [H] : ( m1_subset_1(H,k2_arrow(A)) & ? [I] : ( v7_ordinal1(I) & r2_tarski(I,k4_finseq_1(C)) & G = k1_funct_1(C,I) & ( ~ r1_xxreal_0(F,I) => H = E ) & ( r1_xxreal_0(F,I) => H = D ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,B,k2_arrow(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,k2_arrow(A)))) & ! [H] : ( m1_subset_1(H,B) => ? [J] : ( v7_ordinal1(J) & r2_tarski(J,k4_finseq_1(C)) & H = k1_funct_1(C,J) & ( ~ r1_xxreal_0(F,J) => k3_funct_2(B,k2_arrow(A),G,H) = E ) & ( r1_xxreal_0(F,J) => k3_funct_2(B,k2_arrow(A),G,H) = D ) ) ) ) ) ) )).
fof(s3_funct_2__e2_21__jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,k1_numbers) & ! [F] : ( v1_xreal_0(F) => ( k1_funct_1(B,D) = F => E = k3_xcmplx_0(C,F) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ( k1_funct_1(B,E) = G => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_xcmplx_0(C,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_21__measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_measure3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_measure3(A,B,C)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( G = E & H = F ) => r2_tarski(H,k3_measure3(A,B,C,k8_nat_1(k2_measure3(A,B,C),D,G))) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( ( I = F & J = k3_funct_2(k4_ordinal1,B,E,F) ) => r2_tarski(J,k3_measure3(A,B,C,k8_nat_1(k2_measure3(A,B,C),D,I))) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_22_3__arrow,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m2_funct_2(C,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) ) => ( ! [D] : ( m1_subset_1(D,B) => ? [E] : ( m1_subset_1(E,k3_arrow(A)) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( r1_arrow(k3_funct_2(B,k2_arrow(A),C,D),F,G) & ~ ( r1_arrow(k3_funct_2(B,k2_arrow(A),C,D),G,F) & ~ r1_arrow(o_1_2_arrow(A),F,G) ) ) <=> r1_arrow(E,F,G) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,k3_arrow(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k3_arrow(A)))) & ! [E] : ( m1_subset_1(E,B) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ( ( r1_arrow(k3_funct_2(B,k2_arrow(A),C,E),H,I) & ~ ( r1_arrow(k3_funct_2(B,k2_arrow(A),C,E),I,H) & ~ r1_arrow(o_1_2_arrow(A),H,I) ) ) <=> r1_arrow(k3_funct_2(B,k3_arrow(A),D,E),H,I) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_22__jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,k1_numbers) & ! [F] : ( v1_xreal_0(F) => ( k1_funct_1(B,D) = F => E = k2_xcmplx_0(F,C) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ( k1_funct_1(B,E) = G => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k2_xcmplx_0(G,C) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_22__measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_measure3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_measure3(A,B,C)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k9_setfam_1(A)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( ( H = F & I = G ) => I = k6_subset_1(k8_nat_1(k2_measure3(A,B,C),D,H),k8_nat_1(B,E,H)) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ! [K] : ( ( J = G & K = k3_funct_2(k4_ordinal1,k9_setfam_1(A),F,G) ) => K = k6_subset_1(k8_nat_1(k2_measure3(A,B,C),D,J),k8_nat_1(B,E,J)) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_24__random_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & D = k4_card_1(k3_funct_2(k4_ordinal1,k9_setfam_1(A),B,C)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k4_card_1(k3_funct_2(k4_ordinal1,k9_setfam_1(A),B,D)) ) ) ) ) )).
fof(s3_funct_2__e2_26_12__cfdiff_2,axiom,( ! [A] : ( ( v9_ordinal1(A) & v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_fdiff_1(A,k5_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(2))) & C = k10_finseq_1(k5_numbers,k1_funct_1(A,B)) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k4_real_ns1(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(2))))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(k4_real_ns1(2)),B,C) = k10_finseq_1(k5_numbers,k1_funct_1(A,C)) ) ) ) ) )).
fof(s3_funct_2__e2_26_6__cfdiff_2,axiom,( ! [A] : ( ( v9_ordinal1(A) & v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v1_fdiff_1(A,k5_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(2))) & C = k10_finseq_1(k1_funct_1(A,B),k5_numbers) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k4_real_ns1(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(2))))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(k4_real_ns1(2)),B,C) = k10_finseq_1(k1_funct_1(A,C),k5_numbers) ) ) ) ) )).
fof(s3_funct_2__e2_26__random_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & D = k4_card_1(k3_funct_2(k4_ordinal1,k9_setfam_1(A),B,C)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k4_card_1(k3_funct_2(k4_ordinal1,k9_setfam_1(A),B,D)) ) ) ) ) )).
fof(s3_funct_2__e2_2_1__asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_numbers) & ( A = k5_numbers => B = k5_numbers ) & ( ~ r1_xxreal_0(A,k5_numbers) => B = k2_xcmplx_0(k1_square_1(k3_power(2,A)),36) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( B = k5_numbers => k3_funct_2(k4_ordinal1,k1_numbers,A,B) = k5_numbers ) & ( ~ r1_xxreal_0(B,k5_numbers) => k3_funct_2(k4_ordinal1,k1_numbers,A,B) = k2_xcmplx_0(k1_square_1(k3_power(2,B)),36) ) ) ) ) )).
fof(s3_funct_2__e2_2_8__asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_numbers) & ( A = k5_numbers => B = k5_numbers ) & ( ~ r1_xxreal_0(A,k5_numbers) => B = k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(12,k5_series_1(A,3)),k3_power(2,A)),k3_xcmplx_0(5,k1_square_1(A))) ) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( B = k5_numbers => k3_funct_2(k4_ordinal1,k1_numbers,A,B) = k5_numbers ) & ( ~ r1_xxreal_0(B,k5_numbers) => k3_funct_2(k4_ordinal1,k1_numbers,A,B) = k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(12,k5_series_1(B,3)),k3_power(2,B)),k3_xcmplx_0(5,k1_square_1(B))) ) ) ) ) )).
fof(s3_funct_2__e2_2__scpinvar,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ( ! [C] : ( m1_subset_1(C,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2))) => ? [D] : ( m1_subset_1(D,k4_ordinal1) & ? [E] : ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) & E = C & ( k1_funct_1(E,A) = k1_funct_1(E,B) => D = k5_numbers ) & ( k1_funct_1(E,A) != k1_funct_1(E,B) => D = k4_xxreal_0(k1_int_2(k1_funct_1(E,A)),k1_int_2(k1_funct_1(E,B))) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) & ! [D] : ( m1_subset_1(D,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2))) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) & F = D & ( k1_funct_1(F,A) = k1_funct_1(F,B) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1,C,D) = k5_numbers ) & ( k1_funct_1(F,A) != k1_funct_1(F,B) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1,C,D) = k4_xxreal_0(k1_int_2(k1_funct_1(F,A)),k1_int_2(k1_funct_1(F,B))) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_31_1_1__asympt_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ( C = k5_numbers => D = k5_numbers ) & ( ~ r1_xxreal_0(C,k5_numbers) => D = k2_power(k7_xcmplx_0(B,2),A) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( D = k5_numbers => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k5_numbers ) & ( ~ r1_xxreal_0(D,k5_numbers) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k2_power(k7_xcmplx_0(B,2),A) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_31_2_1__asympt_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ( C = k5_numbers => D = k5_numbers ) & ( ~ r1_xxreal_0(C,k5_numbers) => D = k5_series_1(B,A) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( D = k5_numbers => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k5_numbers ) & ( ~ r1_xxreal_0(D,k5_numbers) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k5_series_1(B,A) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_35__yellow15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_pre_topc(A)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B))) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_pre_topc(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_pre_topc(A),B,C) = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C))) ) ) ) ) )).
fof(s3_funct_2__e2_39_1_1__mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,B) & k9_subset_1(A,D,k14_mesfunc1(A,C,k2_xcmplx_0(E,k2_extreal1(1,k1_nat_1(F,1))))) = G ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k9_subset_1(A,D,k14_mesfunc1(A,C,k2_xcmplx_0(E,k2_extreal1(1,k1_nat_1(G,1))))) = k3_funct_2(k4_ordinal1,B,F,G) ) ) ) ) )).
fof(s3_funct_2__e2_39_2_1__mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,B) & k9_subset_1(A,D,k15_mesfunc1(A,C,k6_xcmplx_0(E,k2_extreal1(1,k1_nat_1(F,1))))) = G ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k9_subset_1(A,D,k15_mesfunc1(A,C,k6_xcmplx_0(E,k2_extreal1(1,k1_nat_1(G,1))))) = k3_funct_2(k4_ordinal1,B,F,G) ) ) ) ) )).
fof(s3_funct_2__e2_39__pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) ) => ( ! [E] : ( m1_subset_1(E,k1_euclid(A)) => ? [F] : ( m1_subset_1(F,k1_euclid(B)) & ? [G] : ( m2_finseq_1(G,k1_euclid(B)) & k4_finseq_1(G) = k2_finseq_1(A) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(A)) => k1_funct_1(G,H) = k9_euclid(B,k11_pdiff_1(A,B,H,C,D),k1_funct_1(k1_pdiff_1(H,A),E)) ) ) & F = k5_euclid_7(B,G) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_euclid(A),k1_euclid(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & ! [F] : ( m1_subset_1(F,k1_euclid(A)) => ? [I] : ( m2_finseq_1(I,k1_euclid(B)) & k4_finseq_1(I) = k2_finseq_1(A) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k2_finseq_1(A)) => k1_funct_1(I,J) = k9_euclid(B,k11_pdiff_1(A,B,J,C,D),k1_funct_1(k1_pdiff_1(J,A),F)) ) ) & k3_funct_2(k1_euclid(A),k1_euclid(B),E,F) = k5_euclid_7(B,I) ) ) ) ) ) )).
fof(s3_funct_2__e2_39__prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_prob_4(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_prob_4(A,B,C)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( G = E & H = F ) => r2_tarski(H,k6_prob_4(A,B,C,k3_funct_2(k4_ordinal1,k4_prob_4(A,B,C),D,G))) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( ( I = F & J = k3_funct_2(k4_ordinal1,B,E,F) ) => r2_tarski(J,k6_prob_4(A,B,C,k3_funct_2(k4_ordinal1,k4_prob_4(A,B,C),D,I))) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_3__mesfunc1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_mesfunc1) & B = k4_xcmplx_0(A) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_mesfunc1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_mesfunc1))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_mesfunc1,A,B) = k4_xcmplx_0(B) ) ) )).
fof(s3_funct_2__e2_3__scpinvar,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ( ! [B] : ( m1_subset_1(B,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2))) => ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & D = B & ( r1_xxreal_0(k5_numbers,k1_funct_1(D,A)) => C = k5_numbers ) & ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(D,A)) => C = k4_xcmplx_0(k1_funct_1(D,A)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) & ! [C] : ( m1_subset_1(C,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2))) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) & E = C & ( r1_xxreal_0(k5_numbers,k1_funct_1(E,A)) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1,B,C) = k5_numbers ) & ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(E,A)) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1,B,C) = k4_xcmplx_0(k1_funct_1(E,A)) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_40__prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_prob_4(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_prob_4(A,B,C)))) & v5_relat_1(E,B) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(A)) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( ( H = F & I = G ) => I = k6_subset_1(k3_funct_2(k4_ordinal1,k4_prob_4(A,B,C),D,H),k1_prob_4(A,B,E,H)) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_zfmisc_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ! [K] : ( ( J = G & K = k3_funct_2(k4_ordinal1,k1_zfmisc_1(A),F,G) ) => K = k6_subset_1(k3_funct_2(k4_ordinal1,k4_prob_4(A,B,C),D,J),k1_prob_4(A,B,E,J)) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_43_2__mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,B) & k9_subset_1(A,D,k17_mesfunc1(A,C,k2_xcmplx_0(E,k2_extreal1(1,k1_nat_1(F,1))))) = G ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k9_subset_1(A,D,k17_mesfunc1(A,C,k2_xcmplx_0(E,k2_extreal1(1,k1_nat_1(G,1))))) = k3_funct_2(k4_ordinal1,B,F,G) ) ) ) ) )).
fof(s3_funct_2__e2_46_1__mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & k9_subset_1(A,D,k16_mesfunc1(A,C,k4_xcmplx_0(E))) = F ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k9_subset_1(A,D,k16_mesfunc1(A,C,k4_xcmplx_0(F))) = k3_funct_2(k4_ordinal1,B,E,F) ) ) ) ) )).
fof(s3_funct_2__e2_46_2__mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & k9_subset_1(A,D,k14_mesfunc1(A,C,E)) = F ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k9_subset_1(A,D,k14_mesfunc1(A,C,F)) = k3_funct_2(k4_ordinal1,B,E,F) ) ) ) ) )).
fof(s3_funct_2__e2_5__scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ( ! [B] : ( m1_subset_1(B,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2))) => ? [C] : ( m1_subset_1(C,k4_ordinal1) & ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & D = B & ( r1_xxreal_0(k1_funct_1(D,A),k5_numbers) => C = k5_numbers ) & ( ~ r1_xxreal_0(k1_funct_1(D,A),k5_numbers) => C = k1_funct_1(D,A) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) & ! [C] : ( m1_subset_1(C,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2))) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) & E = C & ( r1_xxreal_0(k1_funct_1(E,A),k5_numbers) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1,B,C) = k5_numbers ) & ( ~ r1_xxreal_0(k1_funct_1(E,A),k5_numbers) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1,B,C) = k1_funct_1(E,A) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_75__lpspacc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k22_lpspacc1(A,B,C))) => ? [E] : ( m1_subset_1(E,k1_numbers) & ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & r2_tarski(F,D) & E = k1_mesfunc6(A,B,C,k56_valued_1(A,k2_numbers,F)) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k22_lpspacc1(A,B,C)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k22_lpspacc1(A,B,C)),k1_numbers))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k22_lpspacc1(A,B,C))) => ? [G] : ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & r2_tarski(G,E) & k3_funct_2(u1_struct_0(k22_lpspacc1(A,B,C)),k1_numbers,D,E) = k1_mesfunc6(A,B,C,k56_valued_1(A,k2_numbers,G)) ) ) ) ) ) )).
fof(s3_funct_2__e2_77__trees_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k8_trees_1) & B = k5_finseq_2(k4_ordinal1,A,k5_numbers) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k8_trees_1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k8_trees_1))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_funct_2(k4_ordinal1,k8_trees_1,A,B) = k5_finseq_2(k4_ordinal1,B,k5_numbers) ) ) )).
fof(s3_funct_2__e2_7__mesfunc1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( m1_subset_1(B,k4_numbers) => ? [C] : ( m1_subset_1(C,k2_mesfunc1(k1_nat_1(A,1))) & C = k2_extreal1(B,k1_nat_1(A,1)) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_numbers,k2_mesfunc1(k1_nat_1(A,1))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,k2_mesfunc1(k1_nat_1(A,1))))) & ! [C] : ( m1_subset_1(C,k4_numbers) => k3_funct_2(k4_numbers,k2_mesfunc1(k1_nat_1(A,1)),B,C) = k2_extreal1(C,k1_nat_1(A,1)) ) ) ) ) )).
fof(s3_funct_2__e2_83__waybel_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_subset_1(D,k9_setfam_1(u1_struct_0(A))) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & F = C & E = a_3_1_waybel_9(A,B,F) & D = k2_pre_topc(A,E) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k9_setfam_1(u1_struct_0(A))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & H = D & G = a_3_1_waybel_9(A,B,H) & k3_funct_2(u1_struct_0(B),k9_setfam_1(u1_struct_0(A)),C,D) = k2_pre_topc(A,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_89_2_2__asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ( B = k5_numbers => C = k5_numbers ) & ( ~ r1_xxreal_0(B,k5_numbers) => C = k3_power(2,k7_xcmplx_0(A,2)) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( C = k5_numbers => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k5_numbers ) & ( ~ r1_xxreal_0(C,k5_numbers) => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k3_power(2,k7_xcmplx_0(A,2)) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_89_2_8__asympt_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ( B = k5_numbers => C = k5_numbers ) & ( ~ r1_xxreal_0(B,k5_numbers) => C = k3_power(2,A) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( C = k5_numbers => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k5_numbers ) & ( ~ r1_xxreal_0(C,k5_numbers) => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k3_power(2,A) ) ) ) ) ) ) )).
fof(s3_funct_2__e2_89__normsp_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(k10_normsp_3(A,B))) & D = k3_rlsub_1(A,C,B) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k10_normsp_3(A,B)),C,D) = k3_rlsub_1(A,D,B) ) ) ) ) )).
fof(s3_funct_2__e2_90__lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(k12_lpspace2(A,B,C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k12_lpspace2(A,B,C,D))))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_rfunct_3(A,k1_numbers)) & ? [H] : ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & G = H & r2_tarski(H,k1_lpspace2(A,B,C,D)) & r2_tarski(H,k1_normsp_0(k12_lpspace2(A,B,C,D),E,F)) & k1_normsp_0(k12_lpspace2(A,B,C,D),E,F) = k5_lpspace2(A,B,C,H,D) & ? [I] : ( v1_xreal_0(I) & I = k1_mesfunc6(A,B,C,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,H))) & k2_normsp_0(k12_lpspace2(A,B,C,D),k1_normsp_0(k12_lpspace2(A,B,C,D),E,F)) = k2_power(I,k2_extreal1(1,D)) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_rfunct_3(A,k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_rfunct_3(A,k1_numbers)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [J] : ( v1_funct_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & k3_funct_2(k4_ordinal1,k3_rfunct_3(A,k1_numbers),F,G) = J & r2_tarski(J,k1_lpspace2(A,B,C,D)) & r2_tarski(J,k1_normsp_0(k12_lpspace2(A,B,C,D),E,G)) & k1_normsp_0(k12_lpspace2(A,B,C,D),E,G) = k5_lpspace2(A,B,C,J,D) & ? [K] : ( v1_xreal_0(K) & K = k1_mesfunc6(A,B,C,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,J))) & k2_normsp_0(k12_lpspace2(A,B,C,D),k1_normsp_0(k12_lpspace2(A,B,C,D),E,G)) = k2_power(K,k2_extreal1(1,D)) ) ) ) ) ) ) )).
fof(s3_funct_2__e31_26__cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_ndiff_1(A,k4_real_ns1(2),k4_real_ns1(1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(2)),u1_struct_0(k4_real_ns1(1))))) ) => ( ! [B] : ( m1_subset_1(B,k1_numbers) => ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) & D = k10_finseq_1(B,k5_numbers) & k12_finseq_1(k1_numbers,C) = k1_funct_1(A,D) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(2)) & E = k10_finseq_1(C,k5_numbers) & k12_finseq_1(k1_numbers,k3_funct_2(k1_numbers,k1_numbers,B,C)) = k1_funct_1(A,E) ) ) ) ) ) )).
fof(s3_funct_2__e31_89_1_1_1_1_2__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_finseq_1(A))) & m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & ( r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(B,F) ) & ( ~ r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(C,F) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( ( r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(B,G) ) & ( ~ r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(C,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e32_29_1__measure7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ( ! [C] : ( m1_subset_1(C,B) => ? [D] : ( m1_subset_1(D,k4_ordinal1) & D = k1_recdef_1(k5_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),C) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k4_ordinal1))) & ! [D] : ( m1_subset_1(D,B) => k3_funct_2(B,k4_ordinal1,C,D) = k1_recdef_1(k5_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),D) ) ) ) ) )).
fof(s3_funct_2__e33_18__integra6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(k3_integra5(B,A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(B,A))))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_integra1(k3_integra5(B,A))) & ? [F] : ( m1_integra1(F,k3_integra5(B,A)) & F = k2_integra2(k3_integra5(B,A),C,D) & E = k2_rfinseq(k1_numbers,1,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(k3_integra5(B,A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(B,A))))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [G] : ( m1_integra1(G,k3_integra5(B,A)) & G = k2_integra2(k3_integra5(B,A),C,E) & k3_funct_2(k4_ordinal1,k1_integra1(k3_integra5(B,A)),D,E) = k2_rfinseq(k1_numbers,1,G) ) ) ) ) ) )).
fof(s3_funct_2__e34_21_3_1__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) & m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) & m2_finseq_1(D,u1_struct_0(k12_polynom1(A,B))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(k12_polynom1(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k12_polynom1(A,B))))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(F,k3_finseq_1(D)) & H = k8_nat_1(u1_struct_0(k12_polynom1(A,B)),E,F) ) => G = k4_polynom1(A,B,H,C) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(I,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(G,k3_finseq_1(D)) & I = k8_nat_1(u1_struct_0(k12_polynom1(A,B)),E,G) ) => k3_funct_2(k4_ordinal1,u1_struct_0(B),F,G) = k4_polynom1(A,B,I,C) ) ) ) ) ) ) )).
fof(s3_funct_2__e34_89_1_1_1_1_2__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_finseq_1(A))) & m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & ( r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(B,F) ) & ( ~ r2_tarski(F,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => G = k1_funct_1(C,F) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( ( r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(B,G) ) & ( ~ r2_tarski(G,k4_subset_1(k2_finseq_1(A),D,k6_domain_1(k2_finseq_1(A),E))) => k3_funct_2(k2_finseq_1(A),k1_numbers,F,G) = k1_funct_1(C,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e36_17__integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(C)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_integra1(A)) & ? [H] : ( m1_integra1(H,B) & ? [I] : ( m1_integra1(I,C) & H = k2_integra2(B,E,F) & I = k2_integra2(C,D,F) & G = k8_finseq_1(k1_numbers,H,I) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_integra1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [J] : ( m1_integra1(J,B) & ? [K] : ( m1_integra1(K,C) & J = k2_integra2(B,E,G) & K = k2_integra2(C,D,G) & k3_funct_2(k4_ordinal1,k1_integra1(A),F,G) = k8_finseq_1(k1_numbers,J,K) ) ) ) ) ) ) )).
fof(s3_funct_2__e36_19_1_1_2_1_2__matrix_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & ~ v1_xboole_0(C) & m2_finseq_1(D,u1_struct_0(A)) ) => ( ! [E] : ( m1_subset_1(E,C) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ( r2_tarski(E,k2_finseq_1(B)) => F = k1_funct_1(D,E) ) & ( ~ r2_tarski(E,k2_finseq_1(B)) => F = k4_struct_0(A) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,C) => ( ( r2_tarski(F,k2_finseq_1(B)) => k3_funct_2(C,u1_struct_0(A),E,F) = k1_funct_1(D,F) ) & ( ~ r2_tarski(F,k2_finseq_1(B)) => k3_funct_2(C,u1_struct_0(A),E,F) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s3_funct_2__e36_40__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_xreal_0(E) & m2_subset_1(F,k1_zfmisc_1(A),B) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(G,A,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ! [H] : ( m1_subset_1(H,k4_ordinal1) => ? [I] : ( m1_subset_1(I,B) & r1_tarski(I,F) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(k2_extreal1(1,2)),k2_extreal1(E,2)),H),k12_supinf_2(C,I)) & ? [J] : ( m1_subset_1(J,k4_ordinal1) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( ~ r1_xxreal_0(K,J) => ! [L] : ( m1_subset_1(L,A) => ~ ( r2_tarski(L,k7_subset_1(A,F,I)) & r1_xxreal_0(k8_nat_1(k1_numbers,k1_prepower(k2_extreal1(1,2)),H),k3_extreal1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A,k6_numbers,G,K),L),k12_supinf_2(k2_partfun1(A,k6_numbers,D,F),L)))) ) ) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( r1_tarski(k3_funct_2(k4_ordinal1,B,H,I),F) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(k2_extreal1(1,2)),k2_extreal1(E,2)),I),k12_supinf_2(C,k3_funct_2(k4_ordinal1,B,H,I))) & ? [M] : ( m1_subset_1(M,k4_ordinal1) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ( ~ r1_xxreal_0(N,M) => ! [O] : ( m1_subset_1(O,A) => ~ ( r2_tarski(O,k7_subset_1(A,F,k3_funct_2(k4_ordinal1,B,H,I))) & r1_xxreal_0(k8_nat_1(k1_numbers,k1_prepower(k2_extreal1(1,2)),I),k3_extreal1(k4_supinf_2(k12_supinf_2(k4_mesfunc5(A,k6_numbers,G,N),O),k12_supinf_2(k2_partfun1(A,k6_numbers,D,F),O)))) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e39_40__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & F = k12_supinf_2(C,k8_nat_1(B,D,E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,E,F) = k12_supinf_2(C,k8_nat_1(B,D,F)) ) ) ) ) )).
fof(s3_funct_2__e3_102_1_1_1__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(D,C) & r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,C,D),D) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) ) ) ) ) )).
fof(s3_funct_2__e3_102_1_1_2__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(D,C) & r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,C,D),D) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(B))) ) ) ) ) ) )).
fof(s3_funct_2__e3_102__tex_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ( r2_tarski(D,C) => E = D ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,C) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,E) = E ) ) ) ) ) )).
fof(s3_funct_2__e3_11_1__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_finseq_2(k1_numbers)) & ? [H] : ( m2_finseq_1(H,k1_numbers) & H = G & k3_finseq_1(H) = k3_finseq_1(k2_integra2(B,D,F)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(k2_integra2(B,D,F))) => ( r2_tarski(k1_funct_1(H,I),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)),k1_funct_1(H,I)) & k1_funct_1(k2_integr18(A,B,C,D,E,F),I) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),I))) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [K] : ( m2_finseq_1(K,k1_numbers) & K = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),F,G) & k3_finseq_1(K) = k3_finseq_1(k2_integra2(B,D,G)) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(k2_integra2(B,D,G))) => ( r2_tarski(k1_funct_1(K,L),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)))) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)),k1_funct_1(K,L)) & k1_funct_1(k2_integr18(A,B,C,D,E,G),L) = k1_rlvect_1(A,M,k3_integra1(k2_integra1(B,k2_integra2(B,D,G),L))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_12__jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_ordinal1(B) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & F = k1_rlvect_1(k15_euclid(B),C,k1_funct_1(D,E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k15_euclid(B)),E,F) = k1_rlvect_1(k15_euclid(B),C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s3_funct_2__e3_13_1__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_finseq_2(k1_numbers)) & ? [H] : ( m2_finseq_1(H,k1_numbers) & H = G & k3_finseq_1(H) = k3_finseq_1(k2_integra2(B,D,F)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(k2_integra2(B,D,F))) => ( r2_tarski(k1_funct_1(H,I),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)),k1_funct_1(H,I)) & k1_funct_1(k2_integr18(A,B,C,D,E,F),I) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),I))) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [K] : ( m2_finseq_1(K,k1_numbers) & K = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),F,G) & k3_finseq_1(K) = k3_finseq_1(k2_integra2(B,D,G)) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(k2_integra2(B,D,G))) => ( r2_tarski(k1_funct_1(K,L),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)))) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)),k1_funct_1(K,L)) & k1_funct_1(k2_integr18(A,B,C,D,E,G),L) = k1_rlvect_1(A,M,k3_integra1(k2_integra1(B,k2_integra2(B,D,G),L))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_13__group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) & m1_subset_1(C,A) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k1_group_7(A,B,C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k2_group_12(A,B,C))) & E = k1_funct_7(k1_group_1(k2_group_7(A,B)),C,D) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k1_group_7(A,B,C))) => k3_funct_2(u1_struct_0(k1_group_7(A,B,C)),u1_struct_0(k2_group_12(A,B,C)),D,E) = k1_funct_7(k1_group_1(k2_group_7(A,B)),C,E) ) ) ) ) )).
fof(s3_funct_2__e3_14__urysohn3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_urysohn3(D,A,B,C) ) => ( ! [E] : ( m1_subset_1(E,k3_urysohn1) => ? [F] : ( m1_subset_1(F,k9_setfam_1(u1_struct_0(A))) & ( r2_tarski(E,k10_prob_1(k5_numbers)) => F = k1_xboole_0 ) & ( r2_tarski(E,k3_limfunc1(1)) => F = u1_struct_0(A) ) & ( r2_tarski(E,k2_urysohn1) => ! [G] : ( v7_ordinal1(G) => ( r2_tarski(E,k1_urysohn1(G)) => F = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,G),E) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k3_urysohn1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_urysohn1,k9_setfam_1(u1_struct_0(A))))) & ! [F] : ( m1_subset_1(F,k3_urysohn1) => ( ( r2_tarski(F,k10_prob_1(k5_numbers)) => k3_funct_2(k3_urysohn1,k9_setfam_1(u1_struct_0(A)),E,F) = k1_xboole_0 ) & ( r2_tarski(F,k3_limfunc1(1)) => k3_funct_2(k3_urysohn1,k9_setfam_1(u1_struct_0(A)),E,F) = u1_struct_0(A) ) & ( r2_tarski(F,k2_urysohn1) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(F,k1_urysohn1(H)) => k3_funct_2(k3_urysohn1,k9_setfam_1(u1_struct_0(A)),E,F) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,H),F) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_15_1_1__mfold_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_mfold_1(A))) => ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) & ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & E = C & D = k1_rlvect_1(k15_euclid(B),E,k7_xcmplx_0(1,k6_xcmplx_0(1,k3_xcmplx_0(k12_euclid(E),k12_euclid(E))))) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_mfold_1(A)),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_mfold_1(A)),u1_struct_0(k15_euclid(A))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k2_mfold_1(A))) => ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & F = D & k3_funct_2(u1_struct_0(k2_mfold_1(A)),u1_struct_0(k15_euclid(A)),C,D) = k1_rlvect_1(k15_euclid(B),F,k7_xcmplx_0(1,k6_xcmplx_0(1,k3_xcmplx_0(k12_euclid(F),k12_euclid(F))))) ) ) ) ) ) )).
fof(s3_funct_2__e3_15__integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_integra1(A)) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( m1_integra1(E,A) & D = B & E = C & r1_integra4(A,E,k1_nat_1(D,1)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [F] : ( v7_ordinal1(F) & ? [G] : ( m1_integra1(G,A) & F = C & G = k3_funct_2(k4_ordinal1,k1_integra1(A),B,C) & r1_integra4(A,G,k1_nat_1(F,1)) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_16_1_2_1__mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_xreal_0(C) & v2_xxreal_0(C) & m1_subset_1(D,u1_struct_0(k15_euclid(B))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k2_mfold_1(A))) => ? [F] : ( m1_subset_1(F,u1_struct_0(k1_mfold_1(B,D,C))) & ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(B))) & G = E & F = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),G,C),D) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_mfold_1(A)),u1_struct_0(k1_mfold_1(B,D,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_mfold_1(A)),u1_struct_0(k1_mfold_1(B,D,C))))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k2_mfold_1(A))) => ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(B))) & H = F & k3_funct_2(u1_struct_0(k2_mfold_1(A)),u1_struct_0(k1_mfold_1(B,D,C)),E,F) = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),H,C),D) ) ) ) ) ) )).
fof(s3_funct_2__e3_16__integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m1_subset_1(D,k1_numbers) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & m1_integr15(F,A,B,k2_integra2(A,C,E)) & ? [G] : ( m1_integr15(G,A,B,k2_integra2(A,C,E)) & G = F & r1_xxreal_0(k1_integr15(A,B,k2_integra2(A,C,E),G),k2_xcmplx_0(k7_integra1(A,B,k2_integra2(A,C,E)),D)) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( m1_integr15(k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F),A,B,k2_integra2(A,C,F)) & ? [H] : ( m1_integr15(H,A,B,k2_integra2(A,C,F)) & H = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) & r1_xxreal_0(k1_integr15(A,B,k2_integra2(A,C,F),H),k2_xcmplx_0(k7_integra1(A,B,k2_integra2(A,C,F)),D)) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_17_1_1__rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( v1_xreal_0(D) & D = C & r2_hidden(D,A) & ~ r1_xxreal_0(D,B) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [E] : ( v1_xreal_0(E) & E = k3_funct_2(k4_ordinal1,k1_numbers,B,C) & r2_hidden(E,A) & ~ r1_xxreal_0(E,C) ) ) ) ) ) )).
fof(s3_funct_2__e3_17_1_2__rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( v1_xreal_0(D) & D = C & r2_hidden(D,A) & ~ r1_xxreal_0(k4_xcmplx_0(B),D) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [E] : ( v1_xreal_0(E) & E = k3_funct_2(k4_ordinal1,k1_numbers,B,C) & r2_hidden(E,A) & ~ r1_xxreal_0(k4_xcmplx_0(C),E) ) ) ) ) ) )).
fof(s3_funct_2__e3_17_1__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_finseq_2(k1_numbers)) & ? [H] : ( m2_finseq_1(H,k1_numbers) & H = G & k3_finseq_1(H) = k3_finseq_1(k2_integra2(B,D,F)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(k2_integra2(B,D,F))) => ( r2_tarski(k1_funct_1(H,I),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)),k1_funct_1(H,I)) & k1_funct_1(k2_integr18(A,B,C,D,E,F),I) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),I))) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [K] : ( m2_finseq_1(K,k1_numbers) & K = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),F,G) & k3_finseq_1(K) = k3_finseq_1(k2_integra2(B,D,G)) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(k2_integra2(B,D,G))) => ( r2_tarski(k1_funct_1(K,L),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)))) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)),k1_funct_1(K,L)) & k1_funct_1(k2_integr18(A,B,C,D,E,G),L) = k1_rlvect_1(A,M,k3_integra1(k2_integra1(B,k2_integra2(B,D,G),L))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_17__integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m1_subset_1(D,k1_numbers) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & m1_integr15(F,A,B,k2_integra2(A,C,E)) & ? [G] : ( m1_integr15(G,A,B,k2_integra2(A,C,E)) & G = F & r1_xxreal_0(k6_xcmplx_0(k6_integra1(A,B,k2_integra2(A,C,E)),D),k1_integr15(A,B,k2_integra2(A,C,E),G)) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( m1_integr15(k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F),A,B,k2_integra2(A,C,F)) & ? [H] : ( m1_integr15(H,A,B,k2_integra2(A,C,F)) & H = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) & r1_xxreal_0(k6_xcmplx_0(k6_integra1(A,B,k2_integra2(A,C,F)),D),k1_integr15(A,B,k2_integra2(A,C,F),H)) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_17__integra6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_integra1(A)) & ? [D] : ( m1_subset_1(D,k4_ordinal1) & ? [E] : ( m1_integra1(E,A) & D = B & E = C & r1_integra4(A,E,k1_nat_1(D,1)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & ? [G] : ( m1_integra1(G,A) & F = C & G = k3_funct_2(k4_ordinal1,k1_integra1(A),B,C) & r1_integra4(A,G,k1_nat_1(F,1)) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_21_7_2__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)))) & m2_subset_1(E,k14_pre_poly(A),k15_pre_poly(A)) ) => ( ! [F] : ( m1_subset_1(F,k15_pre_poly(B)) => ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & ! [H] : ( m2_subset_1(H,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) => ( r8_pboole(k10_ordinal2(A,B),H,k1_polynom6(A,B,E,F)) => G = k4_polynom1(k10_ordinal2(A,B),C,D,H) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(C)))) & ! [G] : ( m1_subset_1(G,k15_pre_poly(B)) => ! [I] : ( m2_subset_1(I,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) => ( r8_pboole(k10_ordinal2(A,B),I,k1_polynom6(A,B,E,G)) => k3_funct_2(k15_pre_poly(B),u1_struct_0(C),F,G) = k4_polynom1(k10_ordinal2(A,B),C,D,I) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_23_1__integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr16(D,A,B,C) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & F = k1_integr16(k4_integr16(A,B,C,D,E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) = k1_integr16(k4_integr16(A,B,C,D,F)) ) ) ) ) )).
fof(s3_funct_2__e3_23_2__integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr16(D,A,B,C) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & F = k2_integr16(k4_integr16(A,B,C,D,E)) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) = k2_integr16(k4_integr16(A,B,C,D,F)) ) ) ) ) )).
fof(s3_funct_2__e3_23_2__lopban_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & ~ v1_xboole_0(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k7_prvect_3(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_prvect_3(A,B))))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k4_tarski(F,k1_funct_1(C,F)) = k1_funct_1(D,E) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k4_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_funct_1(C,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F))) = k1_funct_1(D,F) ) ) ) ) )).
fof(s3_funct_2__e3_23__measure3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( G = E & H = F ) => ( r2_tarski(H,B) & r1_tarski(k8_nat_1(k9_setfam_1(A),D,G),H) & k12_supinf_2(C,H) = k1_supinf_2 ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( ( I = F & J = k3_funct_2(k4_ordinal1,B,E,F) ) => ( r2_tarski(J,B) & r1_tarski(k8_nat_1(k9_setfam_1(A),D,I),J) & k12_supinf_2(C,J) = k1_supinf_2 ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_24_2_1__integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr15(D,A,k5_comseq_3(A,B),C) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k2_numbers)) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & G = k2_integra2(A,C,E) & H = F & k3_finseq_1(H) = k3_finseq_1(G) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(G)) & ! [J] : ( m1_subset_1(J,k2_numbers) => ! [K] : ( m1_subset_1(K,k1_numbers) => ~ ( r2_tarski(K,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)))) & k1_funct_1(k2_integr15(A,k5_comseq_3(A,B),C,D,E),I) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),k1_funct_1(k2_partfun1(A,k1_numbers,k5_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,E),I)),K)) & J = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)),K) & k1_funct_1(H,I) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),J) ) ) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k2_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k2_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) & ? [M] : ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) & L = k2_integra2(A,C,F) & M = k3_funct_2(k4_ordinal1,k3_finseq_2(k2_numbers),E,F) & k3_finseq_1(M) = k3_finseq_1(L) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ~ ( r2_tarski(N,k4_finseq_1(L)) & ! [O] : ( m1_subset_1(O,k2_numbers) => ! [P] : ( m1_subset_1(P,k1_numbers) => ~ ( r2_tarski(P,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,F),N)))) & k1_funct_1(k2_integr15(A,k5_comseq_3(A,B),C,D,F),N) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,F),N)),k1_funct_1(k2_partfun1(A,k1_numbers,k5_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,F),N)),P)) & O = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,F),N)),P) & k1_funct_1(M,N) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,F),N)),O) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_24_2_2__integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr15(D,A,k6_comseq_3(A,B),C) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k2_numbers)) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & G = k2_integra2(A,C,E) & H = F & k3_finseq_1(H) = k3_finseq_1(G) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ~ ( r2_tarski(I,k4_finseq_1(G)) & ! [J] : ( m1_subset_1(J,k2_numbers) => ! [K] : ( m1_subset_1(K,k1_numbers) => ~ ( r2_tarski(K,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)))) & k1_funct_1(k2_integr15(A,k6_comseq_3(A,B),C,D,E),I) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),k1_funct_1(k2_partfun1(A,k1_numbers,k6_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,E),I)),K)) & J = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)),K) & k1_funct_1(H,I) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),J) ) ) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k2_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k2_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) & ? [M] : ( v1_relat_1(M) & v1_funct_1(M) & v1_finseq_1(M) & L = k2_integra2(A,C,F) & M = k3_funct_2(k4_ordinal1,k3_finseq_2(k2_numbers),E,F) & k3_finseq_1(M) = k3_finseq_1(L) & ! [N] : ( m1_subset_1(N,k4_ordinal1) => ~ ( r2_tarski(N,k4_finseq_1(L)) & ! [O] : ( m1_subset_1(O,k2_numbers) => ! [P] : ( m1_subset_1(P,k1_numbers) => ~ ( r2_tarski(P,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,F),N)))) & k1_funct_1(k2_integr15(A,k6_comseq_3(A,B),C,D,F),N) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,F),N)),k1_funct_1(k2_partfun1(A,k1_numbers,k6_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,F),N)),P)) & O = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,F),N)),P) & k1_funct_1(M,N) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,F),N)),O) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_26_3__random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & v1_random_3(E,A,B,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,k9_setfam_1(B)) & k1_funct_1(F,G) = k8_relset_1(A,B,E,H) & r2_tarski(H,D) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( k1_funct_1(F,H) = k8_relset_1(A,B,E,k3_funct_2(k4_ordinal1,k9_setfam_1(B),G,H)) & r2_tarski(k3_funct_2(k4_ordinal1,k9_setfam_1(B),G,H),D) ) ) ) ) ) )).
fof(s3_funct_2__e3_32_1__integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m4_integr15(E,A,B,C,D) & v7_ordinal1(F) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,k3_finseq_2(k1_numbers)) & H = k4_finseqop(k1_euclid(A),k1_numbers,k5_integr15(A,B,C,D,E,G),k1_pdiff_1(F,A)) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),G,H) = k4_finseqop(k1_euclid(A),k1_numbers,k5_integr15(A,B,C,D,E,H),k1_pdiff_1(F,A)) ) ) ) ) )).
fof(s3_funct_2__e3_33_1__nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & r2_tarski(E,k1_relset_1(k1_numbers,B)) & k7_partfun1(u1_struct_0(A),B,E) = k1_funct_1(C,D) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,B)) & k7_partfun1(u1_struct_0(A),B,k3_funct_2(k4_ordinal1,k1_numbers,D,E)) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(s3_funct_2__e3_33_2_1_1__integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr15(F,B,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),E) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,k3_finseq_2(k1_euclid(A))) & ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) & ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) & I = k2_integra2(B,E,G) & J = H & k3_finseq_1(J) = k3_finseq_1(I) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ~ ( r2_tarski(K,k4_finseq_1(I)) & ! [L] : ( m2_finseq_2(L,k1_numbers,k1_euclid(A)) => ! [M] : ( m1_subset_1(M,k1_numbers) => ~ ( r2_tarski(M,k1_relset_1(B,k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,G),K)))) & k1_funct_1(k2_integr15(B,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),E,F,G),K) = k3_xcmplx_0(k3_integra1(k2_integra1(B,k2_integra2(B,E,G),K)),k1_funct_1(k2_partfun1(B,k1_numbers,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),k2_integra1(B,k2_integra2(B,E,G),K)),M)) & L = k1_funct_1(k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,G),K)),M) & k1_funct_1(J,K) = k9_euclid(A,L,k3_integra1(k2_integra1(B,k2_integra2(B,E,G),K))) ) ) ) ) ) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k3_finseq_2(k1_euclid(A))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_euclid(A))))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ? [N] : ( v1_relat_1(N) & v1_funct_1(N) & v1_finseq_1(N) & ? [O] : ( v1_relat_1(O) & v1_funct_1(O) & v1_finseq_1(O) & N = k2_integra2(B,E,H) & O = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_euclid(A)),G,H) & k3_finseq_1(O) = k3_finseq_1(N) & ! [P] : ( m1_subset_1(P,k4_ordinal1) => ~ ( r2_tarski(P,k4_finseq_1(N)) & ! [Q] : ( m2_finseq_2(Q,k1_numbers,k1_euclid(A)) => ! [R] : ( m1_subset_1(R,k1_numbers) => ~ ( r2_tarski(R,k1_relset_1(B,k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,H),P)))) & k1_funct_1(k2_integr15(B,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),E,F,H),P) = k3_xcmplx_0(k3_integra1(k2_integra1(B,k2_integra2(B,E,H),P)),k1_funct_1(k2_partfun1(B,k1_numbers,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),k2_integra1(B,k2_integra2(B,E,H),P)),R)) & Q = k1_funct_1(k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,H),P)),R) & k1_funct_1(O,P) = k9_euclid(A,Q,k3_integra1(k2_integra1(B,k2_integra2(B,E,H),P))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_35__hilbasis,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k12_polynom1(B,A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ( F = D => E = k4_polynom1(B,A,F,C) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k12_polynom1(B,A))) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ( G = E => k3_funct_2(u1_struct_0(k12_polynom1(B,A)),u1_struct_0(A),D,E) = k4_polynom1(B,A,G,C) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_36_1__fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & r2_tarski(D,k1_relset_1(k1_numbers,A)) & k1_funct_1(A,D) = k1_funct_1(B,C) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k1_relset_1(k1_numbers,A)) & k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,C,D)) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(s3_funct_2__e3_37__abian,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ! [C] : ( m1_subset_1(C,k8_eqrel_1(A,k2_abian(A,B))) => ? [D] : ( m1_subset_1(D,k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A))) & k4_subset_1(A,k4_subset_1(A,k1_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D),k2_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)),k3_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)) = C & r1_xboole_0(k7_relat_1(B,k1_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)),k1_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)) & r1_xboole_0(k7_relat_1(B,k2_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)),k2_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)) & r1_xboole_0(k7_relat_1(B,k3_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)),k3_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),D)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A))))) & ! [D] : ( m1_subset_1(D,k8_eqrel_1(A,k2_abian(A,B))) => ( k4_subset_1(A,k4_subset_1(A,k1_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D)),k2_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))),k3_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))) = D & r1_xboole_0(k7_relat_1(B,k1_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))),k1_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))) & r1_xboole_0(k7_relat_1(B,k2_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))),k2_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))) & r1_xboole_0(k7_relat_1(B,k3_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))),k3_mcart_1(k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A),k3_funct_2(k8_eqrel_1(A,k2_abian(A,B)),k9_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A),k9_setfam_1(A)),C,D))) ) ) ) ) ) )).
fof(s3_funct_2__e3_38_1__nfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),C)) & k7_partfun1(u1_struct_0(B),C,F) = k1_funct_1(D,E) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_relset_1(u1_struct_0(A),C)) & k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F)) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s3_funct_2__e3_39_1__nfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_tarski(E,k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k1_numbers,B,E) = k1_funct_1(C,D) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k1_numbers,B,k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E)) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(s3_funct_2__e3_3__mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & m1_pre_topc(B,k15_euclid(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ! [G] : ( v1_xreal_0(G) => ( ( D = F & k1_funct_1(C,D) = G ) => E = k1_rlvect_1(k15_euclid(A),F,G) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(A))) => ! [I] : ( v1_xreal_0(I) => ( ( E = H & k1_funct_1(C,E) = I ) => k3_funct_2(u1_struct_0(B),u1_struct_0(k15_euclid(A)),D,E) = k1_rlvect_1(k15_euclid(A),H,I) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_40_1_2__series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ( ( B = k5_numbers & C = 1 ) | ( r1_xxreal_0(1,B) & C = k7_xcmplx_0(1,k2_power(B,A)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( C = k5_numbers & k3_funct_2(k4_ordinal1,k1_numbers,B,C) = 1 ) | ( r1_xxreal_0(1,C) & k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k7_xcmplx_0(1,k2_power(C,A)) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_41__prob_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_prob_1(C,A,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( G = E & H = F ) => ( r2_tarski(H,B) & r1_tarski(k1_prob_4(A,k9_setfam_1(A),D,G),H) & k1_funct_1(C,H) = k5_numbers ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( ( I = F & J = k3_funct_2(k4_ordinal1,B,E,F) ) => ( r2_tarski(J,B) & r1_tarski(k1_prob_4(A,k9_setfam_1(A),D,I),J) & k1_funct_1(C,J) = k5_numbers ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_43_1_1_1__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) ) => ( ! [D] : ( m1_subset_1(D,k2_finseq_1(A)) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(E,k1_funct_1(B,D)) & ~ r1_xxreal_0(E,k1_funct_1(C,D)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [E] : ( m1_subset_1(E,k2_finseq_1(A)) => ( ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,D,E),k1_funct_1(B,E)) & ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,D,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(s3_funct_2__e3_44_1_1__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) & m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & ( F = E => ( ~ r1_xxreal_0(G,k1_funct_1(B,F)) & ~ r1_xxreal_0(G,k1_funct_1(D,F)) ) ) & ( ~ r1_xxreal_0(k1_funct_1(C,F),k1_funct_1(D,F)) => ( ~ r1_xxreal_0(G,k1_funct_1(D,F)) & ~ r1_xxreal_0(k1_funct_1(C,F),G) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( ( G = E => ( ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(B,G)) & ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(D,G)) ) ) & ( ~ r1_xxreal_0(k1_funct_1(C,G),k1_funct_1(D,G)) => ( ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(D,G)) & ~ r1_xxreal_0(k1_funct_1(C,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_44_1_2__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) & m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & ~ r1_xxreal_0(G,k1_funct_1(D,F)) & ~ r1_xxreal_0(k1_funct_1(C,F),G) & ~ ( F = E & r1_xxreal_0(k1_funct_1(B,F),G) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(D,G)) & ~ r1_xxreal_0(k1_funct_1(C,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) & ~ ( G = E & r1_xxreal_0(k1_funct_1(B,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_44_1_3__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) & m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & ~ r1_xxreal_0(k1_funct_1(C,F),G) & ~ r1_xxreal_0(G,k1_funct_1(D,F)) & ~ ( F = E & r1_xxreal_0(G,k1_funct_1(B,F)) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( ~ r1_xxreal_0(k1_funct_1(C,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) & ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(D,G)) & ~ ( G = E & r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(B,G)) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_44__mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & k9_subset_1(A,D,k16_mesfunc1(A,C,E)) = F ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k9_subset_1(A,D,k16_mesfunc1(A,C,F)) = k3_funct_2(k4_ordinal1,B,E,F) ) ) ) ) )).
fof(s3_funct_2__e3_45__mesfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,B) & k9_subset_1(A,D,k14_mesfunc1(A,C,k4_xcmplx_0(E))) = F ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k9_subset_1(A,D,k14_mesfunc1(A,C,k4_xcmplx_0(F))) = k3_funct_2(k4_ordinal1,B,E,F) ) ) ) ) )).
fof(s3_funct_2__e3_47__cc0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k7_cc0sp1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_cc0sp1(A))))) ) => ( ! [C] : ( m1_subset_1(C,A) => ? [D] : ( m1_subset_1(D,k2_numbers) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [F] : ( v7_ordinal1(F) => ( k1_funct_1(E,F) = k1_funct_1(k4_cc0sp1(A,k1_normsp_0(k7_cc0sp1(A),B,F)),C) & v2_comseq_2(E) & D = k3_comseq_2(E) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & ! [D] : ( m1_subset_1(D,A) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k2_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [H] : ( v7_ordinal1(H) => ( k1_funct_1(G,H) = k1_funct_1(k4_cc0sp1(A,k1_normsp_0(k7_cc0sp1(A),B,H)),D) & v2_comseq_2(G) & k3_funct_2(A,k2_numbers,C,D) = k3_comseq_2(G) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_47__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_int_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) & m1_zmodul03(C,B) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_zmodul02(A,B)))) ) => ( ! [E] : ( m1_subset_1(E,D) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,E) & r2_tarski(F,C) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,D) => ( r2_tarski(k3_funct_2(D,u1_struct_0(B),E,F),F) & r2_tarski(k3_funct_2(D,u1_struct_0(B),E,F),C) ) ) ) ) ) )).
fof(s3_funct_2__e3_50__matrlin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_matrlin(C,A,B) & m2_finseq_1(D,u1_struct_0(A)) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ( r2_tarski(E,k10_xtuple_0(C)) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k9_xtuple_0(C)) & k7_partfun1(u1_struct_0(B),C,G) = E ) => F = k7_partfun1(u1_struct_0(A),D,G) ) ) ) & ( ~ r2_tarski(E,k10_xtuple_0(C)) => F = k4_struct_0(A) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r2_tarski(F,k10_xtuple_0(C)) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(H,k9_xtuple_0(C)) & k7_partfun1(u1_struct_0(B),C,H) = F ) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k7_partfun1(u1_struct_0(A),D,H) ) ) ) & ( ~ r2_tarski(F,k10_xtuple_0(C)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_51__toprealb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v2_xxreal_0(B) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) & E = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),D,B),C) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),D,E) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),E,B),C) ) ) ) ) )).
fof(s3_funct_2__e3_53__toprealb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v2_xxreal_0(B) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k8_toprealb(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k7_toprealb(A,C,B))) & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) & F = D & E = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),F,B),C) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,C,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,C,B))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k8_toprealb(A))) => ? [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) & G = E & k3_funct_2(u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,C,B)),D,E) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),G,B),C) ) ) ) ) ) )).
fof(s3_funct_2__e3_65__c0sp1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k11_c0sp1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_c0sp1(A))))) ) => ( ! [C] : ( m1_subset_1(C,A) => ? [D] : ( m1_subset_1(D,k1_numbers) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( v7_ordinal1(F) => k1_funct_1(E,F) = k1_funct_1(k8_c0sp1(A,k1_normsp_0(k11_c0sp1(A),B,F)),C) ) & v2_comseq_2(E) & D = k1_seq_2(E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & ! [D] : ( m1_subset_1(D,A) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [H] : ( v7_ordinal1(H) => k1_funct_1(G,H) = k1_funct_1(k8_c0sp1(A,k1_normsp_0(k11_c0sp1(A),B,H)),D) ) & v2_comseq_2(G) & k3_funct_2(A,k1_numbers,C,D) = k1_seq_2(G) ) ) ) ) ) )).
fof(s3_funct_2__e3_76_2__waybel25,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v1_waybel25(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(k1_waybel25(B))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ? [G] : ( m1_subset_1(G,u1_struct_0(k1_waybel25(B))) & ( F = D => G = E ) & ~ ( F != D & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( F = H & G = k1_waybel_2(k1_waybel25(B),k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,H)) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k1_waybel25(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_waybel25(B))))) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( G = D => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_waybel25(B)),F,G) = E ) & ~ ( G != D & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( G = I & k3_funct_2(u1_struct_0(A),u1_struct_0(k1_waybel25(B)),F,G) = k1_waybel_2(k1_waybel25(B),k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,I)) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_79__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(B) => ( ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k9_funct_2(A,B),B)) => ? [E] : ( m1_subset_1(E,k9_funct_2(k2_xboole_0(A,k1_tarski(C)),B)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_xboole_0(A,k1_tarski(C)),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(C)),B))) ) => ! [H] : ( ( k4_tarski(F,H) = D & k1_funct_1(G,C) = H & k2_partfun1(k2_xboole_0(A,k1_tarski(C)),B,G,A) = F ) => G = E ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k9_funct_2(A,B),B),k9_funct_2(k2_xboole_0(A,k1_tarski(C)),B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,B),B),k9_funct_2(k2_xboole_0(A,k1_tarski(C)),B)))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k9_funct_2(A,B),B)) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,A,B) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k2_xboole_0(A,k1_tarski(C)),B) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(C)),B))) ) => ! [K] : ( ( k4_tarski(I,K) = E & k1_funct_1(J,C) = K & k2_partfun1(k2_xboole_0(A,k1_tarski(C)),B,J,A) = I ) => J = k3_funct_2(k2_zfmisc_1(k9_funct_2(A,B),B),k9_funct_2(k2_xboole_0(A,k1_tarski(C)),B),D,E) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_81_2_1_1_1__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_subset_1(C,k4_ordinal1,k2_finseq_1(A)) & m1_subset_1(D,k1_numbers) ) => ( ! [E] : ( m1_subset_1(E,k2_finseq_1(A)) => ? [F] : ( m1_subset_1(F,k1_numbers) & ( E = C => F = D ) & ( E != C => F = k1_funct_1(B,E) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_finseq_1(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ( ( F = C => k3_funct_2(k2_finseq_1(A),k1_numbers,E,F) = D ) & ( F != C => k3_funct_2(k2_finseq_1(A),k1_numbers,E,F) = k1_funct_1(B,F) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_81_2_4_1_1__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_subset_1(C,k4_ordinal1,k2_finseq_1(A)) & m1_subset_1(D,k1_numbers) ) => ( ! [E] : ( m1_subset_1(E,k2_finseq_1(A)) => ? [F] : ( m1_subset_1(F,k1_numbers) & ( E = C => F = D ) & ( E != C => F = k1_funct_1(B,E) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_finseq_1(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ( ( F = C => k3_funct_2(k2_finseq_1(A),k1_numbers,E,F) = D ) & ( F != C => k3_funct_2(k2_finseq_1(A),k1_numbers,E,F) = k1_funct_1(B,F) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_83__zmodul06,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & v1_zmodul03(B) & v2_zmodul03(B) & m1_zmodul01(B,A) & v1_int_1(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( m1_subset_1(E,u1_struct_0(k5_zmodul02(B,C))) & E = k1_zmodul01(B,D,C) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k5_zmodul02(B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k5_zmodul02(B,C))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(k5_zmodul02(B,C)),D,E) = k1_zmodul01(B,E,C) ) ) ) ) )).
fof(s3_funct_2__e3_8__mesfunc1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & B = k2_mesfunc1(k1_nat_1(A,1)) ) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),A,B) = k2_mesfunc1(k1_nat_1(B,1)) ) ) )).
fof(s3_funct_2__e3_93_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),C)) & k7_partfun1(u1_struct_0(B),C,F) = k1_funct_1(D,E) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_relset_1(u1_struct_0(A),C)) & k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F)) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s3_funct_2__e3_94_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),C)) & k7_partfun1(u1_struct_0(B),C,F) = k1_funct_1(D,E) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_relset_1(u1_struct_0(A),C)) & k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F)) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s3_funct_2__e3_95_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & r2_tarski(F,k1_relset_1(u1_struct_0(B),C)) & k7_partfun1(u1_struct_0(A),C,F) = k1_funct_1(D,E) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(B),E,F),k1_relset_1(u1_struct_0(B),C)) & k7_partfun1(u1_struct_0(A),C,k3_funct_2(k4_ordinal1,u1_struct_0(B),E,F)) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s3_funct_2__e3_95__group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k5_group_6(A,k9_group_6(A,B,C)))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k10_group_6(A,B,C))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( D = k13_group_2(A,k9_group_6(A,B,C),F) => E = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k10_group_6(A,B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k10_group_6(A,B,C))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k5_group_6(A,k9_group_6(A,B,C)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( E = k13_group_2(A,k9_group_6(A,B,C),G) => k3_funct_2(u1_struct_0(k5_group_6(A,k9_group_6(A,B,C))),u1_struct_0(k10_group_6(A,B,C)),D,E) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e3_96_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_tarski(E,k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k2_numbers,B,E) = k1_funct_1(C,D) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k2_numbers,B,k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E)) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(s3_funct_2__e3_97_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_tarski(E,k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k1_numbers,B,E) = k1_funct_1(C,D) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k1_numbers,B,k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E)) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(s3_funct_2__e3_98_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_tarski(E,k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k2_numbers,B,E) = k1_funct_1(C,D) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),k1_relset_1(u1_struct_0(A),B)) & k7_partfun1(k2_numbers,B,k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E)) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(s3_funct_2__e3_9__jgraph_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k1_pre_topc(A,B))) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k1_pre_topc(A,B))) => D = C ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k1_pre_topc(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_pre_topc(A,B))) => k3_funct_2(u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(A),C,D) = D ) ) ) ) ) )).
fof(s3_funct_2__e44_18__integra6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(k3_integra5(C,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(C,B))))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(k3_integra5(A,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(A,C))))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k1_integra1(k3_integra5(A,B))) & ? [H] : ( m1_integra1(H,k3_integra5(A,C)) & ? [I] : ( m1_integra1(I,k3_integra5(C,B)) & H = k2_integra2(k3_integra5(A,C),E,F) & I = k2_integra2(k3_integra5(C,B),D,F) & G = k8_finseq_1(k1_numbers,H,I) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_integra1(k3_integra5(A,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(k3_integra5(A,B))))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [J] : ( m1_integra1(J,k3_integra5(A,C)) & ? [K] : ( m1_integra1(K,k3_integra5(C,B)) & J = k2_integra2(k3_integra5(A,C),E,G) & K = k2_integra2(k3_integra5(C,B),D,G) & k3_funct_2(k4_ordinal1,k1_integra1(k3_integra5(A,B)),F,G) = k8_finseq_1(k1_numbers,J,K) ) ) ) ) ) ) )).
fof(s3_funct_2__e49_26__cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_ndiff_1(A,k4_real_ns1(2),k4_real_ns1(1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(2)),u1_struct_0(k4_real_ns1(1))))) ) => ( ! [B] : ( m1_subset_1(B,k1_numbers) => ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) & D = k10_finseq_1(k5_numbers,B) & k12_finseq_1(k1_numbers,C) = k1_funct_1(A,D) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(2)) & E = k10_finseq_1(k5_numbers,C) & k12_finseq_1(k1_numbers,k3_funct_2(k1_numbers,k1_numbers,B,C)) = k1_funct_1(A,E) ) ) ) ) ) )).
fof(s3_funct_2__e4_11_1_1_1__measure7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k6_numbers) & ( E = k1_recdef_1(B,k1_nat_1(C,1)) => F = k12_supinf_2(D,E) ) & ( E != k1_recdef_1(B,k1_nat_1(C,1)) => F = k1_supinf_2 ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( F = k1_recdef_1(B,k1_nat_1(C,1)) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k12_supinf_2(D,F) ) & ( F != k1_recdef_1(B,k1_nat_1(C,1)) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k1_supinf_2 ) ) ) ) ) ) )).
fof(s3_funct_2__e4_11__topmetr3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & r2_hidden(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( E = D & r1_xxreal_0(E,k6_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(C,1)))) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),A) & ! [F] : ( v1_xreal_0(F) => ~ ( F = k3_funct_2(k4_ordinal1,k1_numbers,C,D) & r1_xxreal_0(F,k6_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(D,1)))) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_12__topmetr3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & r2_hidden(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( E = D & r1_xxreal_0(k2_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(C,1))),E) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),A) & ! [F] : ( v1_xreal_0(F) => ~ ( F = k3_funct_2(k4_ordinal1,k1_numbers,C,D) & r1_xxreal_0(k2_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(D,1))),F) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_14__jgraph_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(B))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(B))) => ( ( k1_funct_1(C,E) = G & k1_funct_1(D,E) = H ) => F = k3_rlvect_1(k15_euclid(B),G,H) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(B))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k15_euclid(B))) => ( ( k1_funct_1(C,F) = I & k1_funct_1(D,F) = J ) => k3_funct_2(u1_struct_0(A),u1_struct_0(k15_euclid(B)),E,F) = k3_rlvect_1(k15_euclid(B),I,J) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_17__group_17,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C)))) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r1_struct_0(B,F) & r1_struct_0(C,G) & D = k5_group_7(A,A,F,G) & E = k6_algstr_0(A,F,G) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C))),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C))),u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C)))) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r1_struct_0(B,H) & r1_struct_0(C,I) & E = k5_group_7(A,A,H,I) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C))),u1_struct_0(A),D,E) = k6_algstr_0(A,H,I) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_17__jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,k1_numbers) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( k1_funct_1(B,D) = F & k1_funct_1(C,D) = G ) => E = k2_xcmplx_0(F,G) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( k1_funct_1(B,E) = H & k1_funct_1(C,E) = I ) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k2_xcmplx_0(H,I) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_19__jgraph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,k1_numbers) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( k1_funct_1(B,D) = F & k1_funct_1(C,D) = G ) => E = k6_xcmplx_0(F,G) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( k1_funct_1(B,E) = H & k1_funct_1(C,E) = I ) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k6_xcmplx_0(H,I) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_21_7__polynom6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) ) => ( ! [C] : ( m1_subset_1(C,k15_pre_poly(k10_ordinal2(A,B))) => ? [D] : ( m1_subset_1(D,k15_pre_poly(A)) & ? [E] : ( m2_subset_1(E,k14_pre_poly(A),k15_pre_poly(A)) & ? [F] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & C = k1_polynom6(A,B,E,F) & D = E ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(A)))) & ! [D] : ( m1_subset_1(D,k15_pre_poly(k10_ordinal2(A,B))) => ? [G] : ( m2_subset_1(G,k14_pre_poly(A),k15_pre_poly(A)) & ? [H] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & D = k1_polynom6(A,B,G,H) & k3_funct_2(k15_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(A),C,D) = G ) ) ) ) ) ) )).
fof(s3_funct_2__e4_21__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k12_polynom1(A,k12_polynom1(B,C)))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k12_polynom1(k10_ordinal2(A,B),C))) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))) & v1_polynom1(F,k12_polynom1(B,C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))))) ) => ( D = F => E = k2_polynom6(A,B,C,F) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k12_polynom1(A,k12_polynom1(B,C))),u1_struct_0(k12_polynom1(k10_ordinal2(A,B),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom1(A,k12_polynom1(B,C))),u1_struct_0(k12_polynom1(k10_ordinal2(A,B),C))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k12_polynom1(A,k12_polynom1(B,C)))) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))) & v1_polynom1(G,k12_polynom1(B,C)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))))) ) => ( E = G => k3_funct_2(u1_struct_0(k12_polynom1(A,k12_polynom1(B,C))),u1_struct_0(k12_polynom1(k10_ordinal2(A,B),C)),D,E) = k2_polynom6(A,B,C,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_24__jgraph_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_numbers) & ! [E] : ( v1_xreal_0(E) => ( k1_funct_1(B,C) = E => D = k7_xcmplx_0(1,E) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( k1_funct_1(B,D) = F => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k7_xcmplx_0(1,F) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_31_5_1__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m1_pralg_2(D,B,A) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,E,k6_closure2(u1_struct_0(A),u3_msualg_1(A,C))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,k6_closure2(u1_struct_0(A),u3_msualg_1(A,C))))) & ~ v1_xboole_0(H) ) => ( ! [I] : ( m1_subset_1(I,B) => ? [J] : ( m1_subset_1(J,H) & ? [K] : ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(A)) & v1_funct_1(K) & v1_partfun1(K,u1_struct_0(A)) & k1_funct_1(F,k1_funct_1(D,I)) = K & J = k1_funct_1(K,G) ) ) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,B,H) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(B,H))) & ! [J] : ( m1_subset_1(J,B) => ? [L] : ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(A)) & v1_funct_1(L) & v1_partfun1(L,u1_struct_0(A)) & k1_funct_1(F,k1_funct_1(D,J)) = L & k3_funct_2(B,H,I,J) = k1_funct_1(L,G) ) ) ) ) ) )).
fof(s3_funct_2__e4_31__tsp_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & k9_subset_1(u1_struct_0(A),C,k4_tex_4(A,D)) = k1_tarski(E) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k9_subset_1(u1_struct_0(A),C,k4_tex_4(A,E)) = k1_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,E)) ) ) ) ) )).
fof(s3_funct_2__e4_33_7_1_2__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_pralg_2(D,C,A) & v3_msualg_1(E,A) & v4_msualg_1(E,A) & m1_msualg_2(E,A,k14_pralg_2(C,A,D)) & m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,E),u3_msualg_1(A,B)) & m1_subset_1(G,u4_struct_0(A)) & m1_subset_1(H,k3_msualg_1(A,G,E)) & ~ v1_xboole_0(I) & v1_finset_1(I) ) => ( ! [J] : ( m1_subset_1(J,I) => ? [K] : ( m1_subset_1(K,k14_msualg_2(A,B)) & ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & ? [M] : ( v3_msualg_1(M,A) & v4_msualg_1(M,A) & v3_msafree2(M,A) & m1_msualg_2(M,A,B) & L = k1_funct_1(H,J) & ! [N] : ( ( v3_msualg_1(N,A) & v4_msualg_1(N,A) & v3_msafree2(N,A) & m1_msualg_2(N,A,B) ) => ( m1_msualg_2(M,A,N) => k1_funct_1(L,M) = k1_funct_1(L,N) ) ) & k1_funct_1(k1_funct_1(F,k1_funct_1(k1_msualg_1(A,G),J)),L) = k1_funct_1(L,M) & K = M ) ) ) ) => ? [J] : ( v1_funct_1(J) & v1_funct_2(J,I,k14_msualg_2(A,B)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(I,k14_msualg_2(A,B)))) & ! [K] : ( m1_subset_1(K,I) => ? [O] : ( v1_relat_1(O) & v1_funct_1(O) & ? [P] : ( v3_msualg_1(P,A) & v4_msualg_1(P,A) & v3_msafree2(P,A) & m1_msualg_2(P,A,B) & O = k1_funct_1(H,K) & ! [Q] : ( ( v3_msualg_1(Q,A) & v4_msualg_1(Q,A) & v3_msafree2(Q,A) & m1_msualg_2(Q,A,B) ) => ( m1_msualg_2(P,A,Q) => k1_funct_1(O,P) = k1_funct_1(O,Q) ) ) & k1_funct_1(k1_funct_1(F,k1_funct_1(k1_msualg_1(A,G),K)),O) = k1_funct_1(O,P) & k3_funct_2(I,k14_msualg_2(A,B),J,K) = P ) ) ) ) ) ) )).
fof(s3_funct_2__e4_34__waybel15,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_yellow_1(B))) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = C & D = k1_yellow_0(A,E) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k2_yellow_1(B))) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & F = D & k3_funct_2(u1_struct_0(k2_yellow_1(B)),u1_struct_0(A),C,D) = k1_yellow_0(A,F) ) ) ) ) ) )).
fof(s3_funct_2__e4_34__yellow15,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ( m1_subset_1(C,k3_finseq_2(B)) => ? [D] : ( m1_subset_1(D,k11_waybel_0(A,B)) & D = k1_yellow_0(A,k10_xtuple_0(C)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k3_finseq_2(B),k11_waybel_0(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B),k11_waybel_0(A,B)))) & ! [D] : ( m1_subset_1(D,k3_finseq_2(B)) => k3_funct_2(k3_finseq_2(B),k11_waybel_0(A,B),C,D) = k1_yellow_0(A,k10_xtuple_0(D)) ) ) ) ) )).
fof(s3_funct_2__e4_35__group_17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) & v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_group_7(D) & v2_group_7(D,B) & v3_group_7(D,B) & ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & l3_algstr_0(E) & ~ v2_struct_0(F) & v2_group_1(F) & v3_group_1(F) & l3_algstr_0(F) & m1_subset_1(G,B) & v1_funct_1(H) & v1_funct_2(H,u1_struct_0(E),u1_struct_0(k2_group_7(A,C))) & v1_group_6(H,E,k2_group_7(A,C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(k2_group_7(A,C))))) ) => ( ! [I] : ( m1_subset_1(I,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F)))) => ? [J] : ( m1_subset_1(J,u1_struct_0(k2_group_7(B,D))) & ? [K] : ( m1_subset_1(K,u1_struct_0(E)) & ? [L] : ( m1_subset_1(L,u1_struct_0(F)) & ? [M] : ( v1_relat_1(M) & v1_funct_1(M) & I = k5_group_7(E,F,K,L) & M = k3_funct_2(u1_struct_0(E),u1_struct_0(k2_group_7(A,C)),H,K) & J = k1_funct_4(M,k17_funcop_1(G,L)) ) ) ) ) ) => ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))))) & ! [J] : ( m1_subset_1(J,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F)))) => ? [N] : ( m1_subset_1(N,u1_struct_0(E)) & ? [O] : ( m1_subset_1(O,u1_struct_0(F)) & ? [P] : ( v1_relat_1(P) & v1_funct_1(P) & J = k5_group_7(E,F,N,O) & P = k3_funct_2(u1_struct_0(E),u1_struct_0(k2_group_7(A,C)),H,N) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D)),I,J) = k1_funct_4(P,k17_funcop_1(G,O)) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_37__mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ( ! [B] : ( m1_subset_1(B,k9_unialg_2(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A)))) => ? [C] : ( m1_subset_1(C,k14_msualg_2(k6_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))),k9_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))))) & ? [D] : ( v1_unialg_1(D) & m1_unialg_2(D,g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) & D = B & C = k9_msualg_1(D) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k9_unialg_2(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))),k14_msualg_2(k6_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))),k9_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_unialg_2(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))),k14_msualg_2(k6_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))),k9_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))))))) & ! [C] : ( m1_subset_1(C,k9_unialg_2(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A)))) => ? [E] : ( v1_unialg_1(E) & m1_unialg_2(E,g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))) & E = C & k3_funct_2(k9_unialg_2(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))),k14_msualg_2(k6_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))),k9_msualg_1(g1_unialg_1(u1_struct_0(A),u1_unialg_1(A)))),B,C) = k9_msualg_1(E) ) ) ) ) ) )).
fof(s3_funct_2__e4_41_1_1__prvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k14_prvect_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k14_prvect_2(A))))) & m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(k11_prvect_2(A,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(k4_prvect_2(A))) & F = k1_normsp_0(k14_prvect_2(A),B,D) & E = k1_funct_1(F,C) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k11_prvect_2(A,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_prvect_2(A,C))))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k4_card_3(k4_prvect_2(A))) & G = k1_normsp_0(k14_prvect_2(A),B,E) & k3_funct_2(k4_ordinal1,u1_struct_0(k11_prvect_2(A,C)),D,E) = k1_funct_1(G,C) ) ) ) ) ) )).
fof(s3_funct_2__e4_42_2__waybel_6,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(k2_yellow_1(k1_tarski(k1_xboole_0)))) & ( r3_orders_2(A,C,B) <=> D = k1_xboole_0 ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k2_yellow_1(k1_tarski(k1_xboole_0)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_yellow_1(k1_tarski(k1_xboole_0)))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,D,B) <=> k3_funct_2(u1_struct_0(A),u1_struct_0(k2_yellow_1(k1_tarski(k1_xboole_0))),C,D) = k1_xboole_0 ) ) ) ) ) )).
fof(s3_funct_2__e4_45_1__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) & m2_finseq_2(E,k1_numbers,k1_euclid(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & r1_xxreal_0(k1_funct_1(B,F),G) & r1_xxreal_0(G,k1_funct_1(C,F)) & ~ r1_xxreal_0(G,k1_funct_1(E,F)) & ~ r1_xxreal_0(k1_funct_1(D,F),G) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( r1_xxreal_0(k1_funct_1(B,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) & r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(C,G)) & ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(E,G)) & ~ r1_xxreal_0(k1_funct_1(D,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) ) ) ) ) ) )).
fof(s3_funct_2__e4_46__rsspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k9_rsspace4(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k9_rsspace4(A,B))))) ) => ( ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [G] : ( v7_ordinal1(G) => k1_normsp_0(B,F,G) = k1_funct_1(k6_rsspace4(A,B,k1_normsp_0(k9_rsspace4(A,B),C,G)),D) ) & v3_normsp_1(F,B) & E = k5_normsp_1(B,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,A) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [I] : ( v7_ordinal1(I) => k1_normsp_0(B,H,I) = k1_funct_1(k6_rsspace4(A,B,k1_normsp_0(k9_rsspace4(A,B),C,I)),E) ) & v3_normsp_1(H,B) & k3_funct_2(A,u1_struct_0(B),D,E) = k5_normsp_1(B,H) ) ) ) ) ) )).
fof(s3_funct_2__e4_52__csspace4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k9_csspace4(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k9_csspace4(A,B))))) ) => ( ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [G] : ( v7_ordinal1(G) => k1_normsp_0(B,F,G) = k1_funct_1(k6_csspace4(A,B,k1_normsp_0(k9_csspace4(A,B),C,G)),D) ) & v9_clvect_1(F,B) & E = k7_clvect_1(B,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,A) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [I] : ( v7_ordinal1(I) => k1_normsp_0(B,H,I) = k1_funct_1(k6_csspace4(A,B,k1_normsp_0(k9_csspace4(A,B),C,I)),E) ) & v9_clvect_1(H,B) & k3_funct_2(A,u1_struct_0(B),D,E) = k7_clvect_1(B,H) ) ) ) ) ) )).
fof(s3_funct_2__e4_59__cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,k5_cat_7(A)) & ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( B = D => C = k4_tarski(k7_cat_6(A,D),k8_cat_6(A,D)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k5_cat_7(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k5_cat_7(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_cat_6(A)) => ( C = E => k3_funct_2(u1_struct_0(A),k5_cat_7(A),B,C) = k4_tarski(k7_cat_6(A,E),k8_cat_6(A,E)) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_61_2_4__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) & m2_finseq_2(E,k1_numbers,k1_euclid(A)) ) => ( ! [F] : ( m1_subset_1(F,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,k1_numbers) & r1_xxreal_0(k1_funct_1(B,F),G) & r1_xxreal_0(G,k1_funct_1(C,F)) & ~ r1_xxreal_0(G,k1_funct_1(E,F)) & ~ r1_xxreal_0(k1_funct_1(D,F),G) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_finseq_1(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) & ! [G] : ( m1_subset_1(G,k2_finseq_1(A)) => ( r1_xxreal_0(k1_funct_1(B,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) & r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(C,G)) & ~ r1_xxreal_0(k3_funct_2(k2_finseq_1(A),k1_numbers,F,G),k1_funct_1(E,G)) & ~ r1_xxreal_0(k1_funct_1(D,G),k3_funct_2(k2_finseq_1(A),k1_numbers,F,G)) ) ) ) ) ) )).
fof(s3_funct_2__e4_67__bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m2_bcialg_1(C,A) & m5_bcialg_2(D,A,C) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k9_bcialg_2(A,D))) => ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( F = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),D,H) => G = k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,H) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k9_bcialg_2(A,D)),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_bcialg_2(A,D)),u1_struct_0(B)))) & ! [G] : ( m1_subset_1(G,u1_struct_0(k9_bcialg_2(A,D))) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( G = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),D,I) => k3_funct_2(u1_struct_0(k9_bcialg_2(A,D)),u1_struct_0(B),F,G) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,I) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_6__jgraph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_numbers) & ! [E] : ( v1_xreal_0(E) => ( k1_funct_1(B,C) = E => D = k3_square_1(E) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( k1_funct_1(B,D) = F => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k3_square_1(F) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_71__bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) & m1_bcialg_1(C,B) & m2_bcialg_1(D,A) & m5_bcialg_2(E,A,D) & v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v2_bcialg_6(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(k9_bcialg_2(A,E))) => ? [H] : ( m1_subset_1(H,u1_struct_0(C)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( G = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),E,I) => H = k3_funct_2(u1_struct_0(A),u1_struct_0(B),F,I) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k9_bcialg_2(A,E)),u1_struct_0(C)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_bcialg_2(A,E)),u1_struct_0(C)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(k9_bcialg_2(A,E))) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( H = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),E,J) => k3_funct_2(u1_struct_0(k9_bcialg_2(A,E)),u1_struct_0(C),G,H) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),F,J) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_84__mesfunc5,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k3_rfunct_3(A,k6_numbers)) & k1_relset_1(A,D) = k1_relset_1(A,B) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,B)) => ( ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k2_nat_1(k11_newton(2,C),C)) & r1_xxreal_0(k2_extreal1(k3_xxreal_3(F,1),k11_newton(2,C)),k12_supinf_2(B,E)) ) => ( r1_xxreal_0(k2_extreal1(F,k11_newton(2,C)),k12_supinf_2(B,E)) | k12_supinf_2(D,E) = k2_extreal1(k3_xxreal_3(F,1),k11_newton(2,C)) ) ) ) & ( r1_xxreal_0(C,k12_supinf_2(B,E)) => k12_supinf_2(D,E) = C ) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k3_rfunct_3(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_rfunct_3(A,k6_numbers)))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k1_relset_1(A,k3_funct_2(k4_ordinal1,k3_rfunct_3(A,k6_numbers),C,D)) = k1_relset_1(A,B) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,k1_relset_1(A,B)) => ( ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k2_nat_1(k11_newton(2,D),D)) & r1_xxreal_0(k2_extreal1(k3_xxreal_3(H,1),k11_newton(2,D)),k12_supinf_2(B,G)) ) => ( r1_xxreal_0(k2_extreal1(H,k11_newton(2,D)),k12_supinf_2(B,G)) | k12_supinf_2(k3_funct_2(k4_ordinal1,k3_rfunct_3(A,k6_numbers),C,D),G) = k2_extreal1(k3_xxreal_3(H,1),k11_newton(2,D)) ) ) ) & ( r1_xxreal_0(D,k12_supinf_2(B,G)) => k12_supinf_2(k3_funct_2(k4_ordinal1,k3_rfunct_3(A,k6_numbers),C,D),G) = D ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_91__lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v2_xxreal_0(D) & v1_xreal_0(D) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,B) & ? [H] : ( m2_subset_1(H,k1_zfmisc_1(A),B) & G = H & ? [I] : ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,E,F),I) & k1_funct_1(C,k3_subset_1(A,H)) = k5_numbers & k1_relset_1(A,I) = H & r1_mesfunc6(A,B,I,H) & r3_mesfunc6(A,B,C,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,I))) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [J] : ( m2_subset_1(J,k1_zfmisc_1(A),B) & k3_funct_2(k4_ordinal1,B,F,G) = J & ? [K] : ( v1_funct_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,E,G),K) & k1_funct_1(C,k3_subset_1(A,J)) = k5_numbers & k1_relset_1(A,K) = J & r1_mesfunc6(A,B,K,J) & r3_mesfunc6(A,B,C,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,K))) ) ) ) ) ) ) )).
fof(s3_funct_2__e4_96__group_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v1_group_3(B,A) & m1_group_2(B,A) & v15_algstr_0(C) & v1_group_3(C,A) & m1_group_2(C,A) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k5_group_6(A,C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k5_group_6(A,B))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( D = k13_group_2(A,C,F) => E = k13_group_2(A,B,F) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_group_6(A,C)),u1_struct_0(k5_group_6(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_group_6(A,C)),u1_struct_0(k5_group_6(A,B))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k5_group_6(A,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( E = k13_group_2(A,C,G) => k3_funct_2(u1_struct_0(k5_group_6(A,C)),u1_struct_0(k5_group_6(A,B)),D,E) = k13_group_2(A,B,G) ) ) ) ) ) ) )).
fof(s3_funct_2__e50_17__integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_integra1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_integra1(C)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(C)))) ) => ( ! [H] : ( m1_subset_1(H,k4_ordinal1) => ? [I] : ( m1_subset_1(I,k3_finseq_2(u1_struct_0(A))) & ? [J] : ( m2_finseq_1(J,u1_struct_0(A)) & ? [K] : ( m2_finseq_1(K,u1_struct_0(A)) & ? [L] : ( m2_finseq_1(L,u1_struct_0(A)) & J = I & K = k2_integr18(A,B,D,F,o_4_0_integr21(A,B,D,F),H) & L = k2_integr18(A,C,E,G,o_4_0_integr21(A,C,E,G),H) & J = k8_finseq_1(u1_struct_0(A),K,L) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ? [M] : ( m2_finseq_1(M,u1_struct_0(A)) & ? [N] : ( m2_finseq_1(N,u1_struct_0(A)) & ? [O] : ( m2_finseq_1(O,u1_struct_0(A)) & M = k3_funct_2(k4_ordinal1,k3_finseq_2(u1_struct_0(A)),H,I) & N = k2_integr18(A,B,D,F,o_4_0_integr21(A,B,D,F),I) & O = k2_integr18(A,C,E,G,o_4_0_integr21(A,C,E,G),I) & M = k8_finseq_1(u1_struct_0(A),N,O) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e5_103_1_1_1__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(C),D) & r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k4_xcmplx_0(D),k3_funct_2(k4_ordinal1,k1_numbers,C,D)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) ) ) ) ) )).
fof(s3_funct_2__e5_103_1_1_2__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(C),D) & r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k4_xcmplx_0(D),k3_funct_2(k4_ordinal1,k1_numbers,C,D)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(B))) ) ) ) ) ) )).
fof(s3_funct_2__e5_104__tex_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_tex_2(B,A) & m1_pre_topc(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & k9_subset_1(u1_struct_0(A),C,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),D))) = k6_domain_1(u1_struct_0(B),E) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k9_subset_1(u1_struct_0(A),C,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),E))) = k6_domain_1(u1_struct_0(B),k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,E)) ) ) ) ) )).
fof(s3_funct_2__e5_12_1__normsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(D,1)),k2_normsp_0(A,k5_algstr_0(A,C,E))) & r2_tarski(E,B) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(E,1)),k2_normsp_0(A,k5_algstr_0(A,C,k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E)))) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),B) ) ) ) ) ) )).
fof(s3_funct_2__e5_13_4_1__group_10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( ! [E] : ( m1_subset_1(E,A) => ? [F] : ( m1_subset_1(F,k2_tarski(B,C)) & ( ( r2_tarski(E,D) & F = B ) | ( ~ r2_tarski(E,D) & F = C ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,k2_tarski(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_tarski(B,C)))) & ! [F] : ( m1_subset_1(F,A) => ( ( r2_tarski(F,D) & k3_funct_2(A,k2_tarski(B,C),E,F) = B ) | ( ~ r2_tarski(F,D) & k3_funct_2(A,k2_tarski(B,C),E,F) = C ) ) ) ) ) ) )).
fof(s3_funct_2__e5_17_1__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_finseq_2(k1_numbers)) & ? [H] : ( m2_finseq_1(H,k1_numbers) & H = G & k3_finseq_1(H) = k3_finseq_1(k2_integra2(B,D,F)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(k2_integra2(B,D,F))) => ( r2_tarski(k1_funct_1(H,I),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)),k1_funct_1(H,I)) & k1_funct_1(k2_integr18(A,B,C,D,E,F),I) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),I))) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [K] : ( m2_finseq_1(K,k1_numbers) & K = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),F,G) & k3_finseq_1(K) = k3_finseq_1(k2_integra2(B,D,G)) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(k2_integra2(B,D,G))) => ( r2_tarski(k1_funct_1(K,L),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)))) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)),k1_funct_1(K,L)) & k1_funct_1(k2_integr18(A,B,C,D,E,G),L) = k1_rlvect_1(A,M,k3_integra1(k2_integra1(B,k2_integra2(B,D,G),L))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e5_26_1_2__urysohn3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k3_topmetr)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(k3_topmetr)) & D = B ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,D) = B ) ) ) ) )).
fof(s3_funct_2__e5_26__hahnban,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v2_hahnban(C,B) & v3_hahnban(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))))) & m1_rlsub_1(F,k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))) & v1_xreal_0(G) ) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))))) => ? [I] : ( m1_subset_1(I,k1_numbers) & ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( v1_xreal_0(K) => ( ( k2_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k4_rlsub_2(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),H,F,k1_rlvect_3(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),E)))) = J & k3_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k4_rlsub_2(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),H,F,k1_rlvect_3(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),E)))) = k1_rlvect_1(A,D,K) ) => I = k2_xcmplx_0(k3_funct_2(u1_struct_0(B),k1_numbers,C,J),k3_xcmplx_0(K,G)) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k1_numbers))) & ! [I] : ( m1_subset_1(I,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))))) => ! [L] : ( m1_subset_1(L,u1_struct_0(B)) => ! [M] : ( v1_xreal_0(M) => ( ( k2_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k4_rlsub_2(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),I,F,k1_rlvect_3(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),E)))) = L & k3_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k4_rlsub_2(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),I,F,k1_rlvect_3(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),E)))) = k1_rlvect_1(A,D,M) ) => k3_funct_2(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k1_numbers,H,I) = k2_xcmplx_0(k3_funct_2(u1_struct_0(B),k1_numbers,C,L),k3_xcmplx_0(M,G)) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e5_27_1_1_2__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ( m1_subset_1(D,k5_card_1(C)) => ? [E] : ( m1_subset_1(E,k5_card_1(B)) & E = k4_nat_1(D,A) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(C),k5_card_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(C),k5_card_1(B)))) & ! [E] : ( m1_subset_1(E,k5_card_1(C)) => k3_funct_2(k5_card_1(C),k5_card_1(B),D,E) = k4_nat_1(E,A) ) ) ) ) )).
fof(s3_funct_2__e5_5__weierstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,k9_setfam_1(k2_struct_0(B))) => ? [E] : ( m1_subset_1(E,k9_setfam_1(k2_struct_0(A))) & ! [F] : ! [G] : ( ( D = F & E = G ) => G = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_setfam_1(k2_struct_0(B)),k9_setfam_1(k2_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k2_struct_0(B)),k9_setfam_1(k2_struct_0(A))))) & ! [E] : ( m1_subset_1(E,k9_setfam_1(k2_struct_0(B))) => ! [H] : ! [I] : ( ( E = H & k3_funct_2(k9_setfam_1(k2_struct_0(B)),k9_setfam_1(k2_struct_0(A)),D,E) = I ) => I = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,H) ) ) ) ) ) )).
fof(s3_funct_2__e5_6__weierstr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,k9_setfam_1(k2_struct_0(A))) => ? [E] : ( m1_subset_1(E,k9_setfam_1(k2_struct_0(B))) & ! [F] : ! [G] : ( ( D = F & E = G ) => G = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_setfam_1(k2_struct_0(A)),k9_setfam_1(k2_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k2_struct_0(A)),k9_setfam_1(k2_struct_0(B))))) & ! [E] : ( m1_subset_1(E,k9_setfam_1(k2_struct_0(A))) => ! [H] : ! [I] : ( ( E = H & k3_funct_2(k9_setfam_1(k2_struct_0(A)),k9_setfam_1(k2_struct_0(B)),D,E) = I ) => I = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,H) ) ) ) ) ) )).
fof(s3_funct_2__e5_73__group_19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k3_group_7(A,C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_group_19(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & D = F & E = k5_group_19(A,B,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_group_7(A,C)),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k3_group_7(A,C))) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,A,u1_struct_0(B)) & v1_group_19(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & E = G & k3_funct_2(u1_struct_0(k3_group_7(A,C)),u1_struct_0(B),D,E) = k5_group_19(A,B,G) ) ) ) ) ) )).
fof(s3_funct_2__e5_84__bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_bcialg_1(B,A) & v12_bcialg_1(C,A) & m2_bcialg_1(C,A) & m5_bcialg_2(D,A,C) & m2_bcialg_1(E,k9_bcialg_6(A,B,C,D)) & m5_bcialg_2(F,k9_bcialg_6(A,B,C,D),E) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ? [H] : ( m1_subset_1(H,u1_struct_0(k9_bcialg_2(k9_bcialg_6(A,B,C,D),F))) & H = k6_eqrel_1(u1_struct_0(k9_bcialg_6(A,B,C,D)),u1_struct_0(k9_bcialg_6(A,B,C,D)),F,G) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(k9_bcialg_2(k9_bcialg_6(A,B,C,D),F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k9_bcialg_2(k9_bcialg_6(A,B,C,D),F))))) & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(k9_bcialg_2(k9_bcialg_6(A,B,C,D),F)),G,H) = k6_eqrel_1(u1_struct_0(k9_bcialg_6(A,B,C,D)),u1_struct_0(k9_bcialg_6(A,B,C,D)),F,H) ) ) ) ) )).
fof(s3_funct_2__e5_95_2_2__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_finseq_1(C,B) & ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( m1_subset_1(E,A) => ? [F] : ( m1_subset_1(F,k4_finseq_2(D,k5_margrel1)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(G,k2_finseq_1(D)) => ( ( r2_tarski(E,k1_funct_1(C,G)) => k1_funct_1(F,G) = k5_numbers ) & ( ~ r2_tarski(E,k1_funct_1(C,G)) => k1_funct_1(F,G) = 1 ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,k4_finseq_2(D,k5_margrel1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k4_finseq_2(D,k5_margrel1)))) & ! [F] : ( m1_subset_1(F,A) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( r2_tarski(H,k2_finseq_1(D)) => ( ( r2_tarski(F,k1_funct_1(C,H)) => k1_funct_1(k3_funct_2(A,k4_finseq_2(D,k5_margrel1),E,F),H) = k5_numbers ) & ( ~ r2_tarski(F,k1_funct_1(C,H)) => k1_funct_1(k3_funct_2(A,k4_finseq_2(D,k5_margrel1),E,F),H) = 1 ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e6_11_1__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_finseq_2(u1_struct_0(A))) & ? [H] : ( m1_integr18(H,A,B,C,k2_integra2(B,D,F)) & H = G & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(k2_integra2(B,D,F))) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),I),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)))) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),I)) & k1_funct_1(H,I) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),I))) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [K] : ( m1_integr18(K,A,B,C,k2_integra2(B,D,G)) & K = k3_funct_2(k4_ordinal1,k3_finseq_2(u1_struct_0(A)),F,G) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(k2_integra2(B,D,G))) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,G),L),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)))) & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,G),L)) & k1_funct_1(K,L) = k1_rlvect_1(A,M,k3_integra1(k2_integra1(B,k2_integra2(B,D,G),L))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e6_12__jct_misc,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k4_tarski(D,E) & C = k9_complex1(k6_xcmplx_0(D,E)) ) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & C = k4_tarski(F,G) & k3_funct_2(u1_struct_0(A),k1_numbers,B,C) = k9_complex1(k6_xcmplx_0(F,G)) ) ) ) ) ) ) )).
fof(s3_funct_2__e6_13_1__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k3_finseq_2(u1_struct_0(A))) & ? [H] : ( m1_integr18(H,A,B,C,k2_integra2(B,D,F)) & H = G & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(k2_integra2(B,D,F))) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),I),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)))) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),I)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),I)) & k1_funct_1(H,I) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),I))) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(u1_struct_0(A))))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [K] : ( m1_integr18(K,A,B,C,k2_integra2(B,D,G)) & K = k3_funct_2(k4_ordinal1,k3_finseq_2(u1_struct_0(A)),F,G) & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k4_finseq_1(k2_integra2(B,D,G))) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ~ ( r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,G),L),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)))) & M = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,G),L)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,G),L)) & k1_funct_1(K,L) = k1_rlvect_1(A,M,k3_integra1(k2_integra1(B,k2_integra2(B,D,G),L))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e6_14_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(E,k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(D,1)))) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(k1_funct_1(B,E),C) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(E,1)))) & ~ r1_xxreal_0(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,B)) & r1_xxreal_0(k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),C) ) ) ) ) ) )).
fof(s3_funct_2__e6_14__mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & E = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),D,A),C) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(B))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) => k3_funct_2(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(B)),D,E) = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),E,A),C) ) ) ) ) )).
fof(s3_funct_2__e6_15_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(E,k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(D,1)))) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(C,k1_funct_1(B,E)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(E,1)))) & ~ r1_xxreal_0(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,B)) & r1_xxreal_0(C,k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,D,E))) ) ) ) ) ) )).
fof(s3_funct_2__e6_15_1__limfunc3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,E)),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(k6_xcmplx_0(A,E))) & r2_hidden(E,k9_xtuple_0(B)) & r1_xxreal_0(k1_funct_1(B,E),C) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E))),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)))) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k9_xtuple_0(B)) & r1_xxreal_0(k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),C) ) ) ) ) ) )).
fof(s3_funct_2__e6_15__jct_misc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_numbers)) & ~ v1_xboole_0(E) & v2_measure5(E) & ~ r1_xboole_0(E,A) & ~ r1_xboole_0(E,B) & r1_tarski(E,k1_funct_1(C,D)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ v1_xboole_0(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),D,E)) & v2_measure5(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),D,E)) & ~ r1_xboole_0(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),D,E),A) & ~ r1_xboole_0(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),D,E),B) & r1_tarski(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),D,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(s3_funct_2__e6_16_1__limfunc3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,E)),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(k6_xcmplx_0(A,E))) & r2_hidden(E,k9_xtuple_0(B)) & r1_xxreal_0(C,k1_funct_1(B,E)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E))),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)))) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k9_xtuple_0(B)) & r1_xxreal_0(C,k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,D,E))) ) ) ) ) ) )).
fof(s3_funct_2__e6_17_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(E,A) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(D,1))),E) & r2_hidden(E,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(k1_funct_1(B,E),C) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),A) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(E,1))),k3_funct_2(k4_ordinal1,k1_numbers,D,E)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,B)) & r1_xxreal_0(k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),C) ) ) ) ) ) )).
fof(s3_funct_2__e6_18_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(E,A) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(D,1))),E) & r2_hidden(E,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(C,k1_funct_1(B,E)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),A) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(E,1))),k3_funct_2(k4_ordinal1,k1_numbers,D,E)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,B)) & r1_xxreal_0(C,k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,D,E))) ) ) ) ) ) )).
fof(s3_funct_2__e6_19__rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( v1_xreal_0(D) & D = C & r2_hidden(D,A) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(B,1)),k6_xcmplx_0(k2_seq_4(A),D)) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [E] : ( v1_xreal_0(E) & E = k3_funct_2(k4_ordinal1,k1_numbers,B,C) & r2_hidden(E,A) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(C,1)),k6_xcmplx_0(k2_seq_4(A),E)) ) ) ) ) ) )).
fof(s3_funct_2__e6_20__rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( v1_xreal_0(D) & D = C & r2_hidden(D,A) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(B,1)),k6_xcmplx_0(D,k3_seq_4(A))) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [E] : ( v1_xreal_0(E) & E = k3_funct_2(k4_ordinal1,k1_numbers,B,C) & r2_hidden(E,A) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(C,1)),k6_xcmplx_0(E,k3_seq_4(A))) ) ) ) ) ) )).
fof(s3_funct_2__e6_22__group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) & v1_relat_1(C) & v4_relat_1(C,k2_finseq_1(A)) & v1_funct_1(C) & v1_partfun1(C,k2_finseq_1(A)) & v1_group_7(C) & v2_group_7(C,k2_finseq_1(A)) & v3_group_7(C,k2_finseq_1(A)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k2_group_7(k2_finseq_1(A),C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & k3_finseq_1(F) = A & ! [G] : ( m2_subset_1(G,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A),C,G),k1_funct_1(F,G)) ) & F = D & E = k3_group_4(B,F) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_7(k2_finseq_1(A),C))) => ? [H] : ( m2_finseq_1(H,u1_struct_0(B)) & k3_finseq_1(H) = A & ! [I] : ( m2_subset_1(I,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A),C,I),k1_funct_1(H,I)) ) & H = E & k3_funct_2(u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(B),D,E) = k3_group_4(B,H) ) ) ) ) ) )).
fof(s3_funct_2__e6_26_1__ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & E != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(E)) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(E)),k2_normsp_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),B,E)))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,D,E) != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,D,E))) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,D,E))),k2_normsp_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),B,k3_funct_2(k4_ordinal1,k1_numbers,D,E))))) ) ) ) ) ) )).
fof(s3_funct_2__e6_32_2_7__waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel33(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & v6_waybel_0(C,A) & m2_yellow_6(C,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ? [F] : ( m1_subset_1(F,u1_struct_0(C)) & r1_orders_2(C,E,F) & r2_tarski(k2_waybel_0(A,C,F),D) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( r1_orders_2(C,F,k3_funct_2(u1_struct_0(C),u1_struct_0(C),E,F)) & r2_tarski(k2_waybel_0(A,C,k3_funct_2(u1_struct_0(C),u1_struct_0(C),E,F)),D) ) ) ) ) ) )).
fof(s3_funct_2__e6_43__mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_connsp_2(C,A,B) & ? [D] : ( v7_ordinal1(D) & r1_borsuk_3(k1_pre_topc(A,C),k2_brouwer(D,k4_struct_0(k15_euclid(D)),1)) ) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( m1_connsp_2(k3_funct_2(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),B,C),A,C) & ? [E] : ( v7_ordinal1(E) & r1_borsuk_3(k1_pre_topc(A,k3_funct_2(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A)),B,C)),k2_brouwer(E,k4_struct_0(k15_euclid(E)),1)) ) ) ) ) ) ) )).
fof(s3_funct_2__e6_46_1__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(D,C) & r2_hidden(D,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(k1_funct_1(A,D),B) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,C,D),D) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,C,D)),B) ) ) ) ) ) )).
fof(s3_funct_2__e6_47_1__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(D,C) & r2_hidden(D,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(B,k1_funct_1(A,D)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,C,D),D) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(B,k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,C,D))) ) ) ) ) ) )).
fof(s3_funct_2__e6_48_1__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(C),D) & r2_hidden(D,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(k1_funct_1(A,D),B) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k4_xcmplx_0(D),k3_funct_2(k4_ordinal1,k1_numbers,C,D)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,C,D)),B) ) ) ) ) ) )).
fof(s3_funct_2__e6_49_1__limfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(C),D) & r2_hidden(D,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(B,k1_funct_1(A,D)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k4_xcmplx_0(D),k3_funct_2(k4_ordinal1,k1_numbers,C,D)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,C,D),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(B,k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,C,D))) ) ) ) ) ) )).
fof(s3_funct_2__e6_4_1__fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & r2_hidden(E,k1_relset_1(k1_numbers,B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(k6_xcmplx_0(E,A))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(B,E),k1_funct_1(B,A)))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),A))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),k1_funct_1(B,A)))) ) ) ) ) ) )).
fof(s3_funct_2__e6_51__toprealb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v2_xxreal_0(B) & m1_subset_1(C,u1_struct_0(k15_euclid(A))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) & E = k1_rlvect_1(k15_euclid(A),k5_algstr_0(k15_euclid(A),D,C),k7_xcmplx_0(1,B)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),D,E) = k1_rlvect_1(k15_euclid(A),k5_algstr_0(k15_euclid(A),E,C),k7_xcmplx_0(1,B)) ) ) ) ) )).
fof(s3_funct_2__e6_53_1__ordeq_01,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & D != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(C,1)),k9_complex1(D)) & r1_xxreal_0(B,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(D)),k9_complex1(k7_partfun1(k1_numbers,A,D)))) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,C,D) != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(D,1)),k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,C,D))) & r1_xxreal_0(B,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,C,D))),k9_complex1(k7_partfun1(k1_numbers,A,k3_funct_2(k4_ordinal1,k1_numbers,C,D))))) ) ) ) ) ) )).
fof(s3_funct_2__e6_62__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers))) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( E = F => ( ! [G] : ( v7_ordinal1(G) => ( r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,F,G)) & k1_relset_1(A,k4_mesfunc5(A,k6_numbers,F,G)) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,D)) ) ) & ! [G] : ( v7_ordinal1(G) => v6_supinf_2(k4_mesfunc5(A,k6_numbers,F,G)) ) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(G,H) => ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,D))) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,F,G),I),k12_supinf_2(k4_mesfunc5(A,k6_numbers,F,H),I)) ) ) ) ) ) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,D))) => ( v10_mesfunc5(k3_mesfunc5(A,F,G)) & k2_mesfunc5(k3_mesfunc5(A,F,G)) = k12_supinf_2(k4_mesfunc5(A,k6_numbers,C,D),G) ) ) ) ) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers))))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k4_partfun1(A,k6_numbers)),D,E) = J => ( ! [K] : ( v7_ordinal1(K) => ( r1_mesfunc2(A,B,k4_mesfunc5(A,k6_numbers,J,K)) & k1_relset_1(A,k4_mesfunc5(A,k6_numbers,J,K)) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,E)) ) ) & ! [K] : ( v7_ordinal1(K) => v6_supinf_2(k4_mesfunc5(A,k6_numbers,J,K)) ) & ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ( r1_xxreal_0(K,L) => ! [M] : ( m1_subset_1(M,A) => ( r2_tarski(M,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,E))) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,J,K),M),k12_supinf_2(k4_mesfunc5(A,k6_numbers,J,L),M)) ) ) ) ) ) & ! [K] : ( m1_subset_1(K,A) => ( r2_tarski(K,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,E))) => ( v10_mesfunc5(k3_mesfunc5(A,J,K)) & k2_mesfunc5(k3_mesfunc5(A,J,K)) = k12_supinf_2(k4_mesfunc5(A,k6_numbers,C,E),K) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e6_77_1__limfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(E,D) & r2_hidden(E,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),B))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),E) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),B))) ) ) ) ) ) )).
fof(s3_funct_2__e7_14_1__nfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(E,1)),k2_normsp_0(A,k5_algstr_0(A,F,B))) & r1_xxreal_0(D,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,C,F),k7_partfun1(k1_numbers,C,B)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(F,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),B))) & r1_xxreal_0(D,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,C,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F)),k7_partfun1(k1_numbers,C,B)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_18_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,G,D))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,G),k7_partfun1(u1_struct_0(B),C,D)))) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),D))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G)),k7_partfun1(u1_struct_0(B),C,D)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_18__nbvectsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k5_nbvectsp(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k5_nbvectsp(A))))) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(k2_bspace)) & ? [F] : ( m2_finseq_2(F,k5_margrel1,k4_finseq_2(A,k5_margrel1)) & F = k8_nat_1(u1_struct_0(k5_nbvectsp(A)),C,D) & E = k10_descip_1(A,F,B) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k2_bspace)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_bspace)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [G] : ( m2_finseq_2(G,k5_margrel1,k4_finseq_2(A,k5_margrel1)) & G = k8_nat_1(u1_struct_0(k5_nbvectsp(A)),C,E) & k3_funct_2(k4_ordinal1,u1_struct_0(k2_bspace),D,E) = k10_descip_1(A,G,B) ) ) ) ) ) )).
fof(s3_funct_2__e7_19_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,G,D))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,G),k7_partfun1(u1_struct_0(B),C,D)))) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),D))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G)),k7_partfun1(u1_struct_0(B),C,D)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_19__group_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_group_2(B,A) & m1_group_2(C,A) & m1_group_2(D,C) & ~ v1_xboole_0(E) & v1_finset_1(E) & ~ v1_xboole_0(F) & v1_finset_1(F) ) => ( ! [G] : ( m1_subset_1(G,F) => ? [H] : ( m1_subset_1(H,E) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(C)) & I = J & H = k13_group_2(A,B,I) & G = k13_group_2(C,D,J) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,F,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(F,E))) & ! [H] : ( m1_subset_1(H,F) => ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_subset_1(L,u1_struct_0(C)) & K = L & k3_funct_2(F,E,G,H) = k13_group_2(A,B,K) & H = k13_group_2(C,D,L) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_1_1__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_numbers,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & E != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(E)) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(E)),k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,E)))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,D,E) != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,D,E))) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,D,E))),k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,k3_funct_2(k4_ordinal1,k1_numbers,D,E))))) ) ) ) ) ) )).
fof(s3_funct_2__e7_20_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & m1_subset_1(D,u1_struct_0(B)) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r2_tarski(G,k1_relset_1(u1_struct_0(B),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(B,k5_algstr_0(B,G,D))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,G),k7_partfun1(u1_struct_0(A),C,D)))) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(B),F,G),k1_relset_1(u1_struct_0(B),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(k4_ordinal1,u1_struct_0(B),F,G),D))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_funct_2(k4_ordinal1,u1_struct_0(B),F,G)),k7_partfun1(u1_struct_0(A),C,D)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_20__integr19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,A,k1_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & ? [G] : ( m2_finseq_1(G,k1_numbers) & G = F & k3_finseq_1(G) = k3_finseq_1(k2_integra2(A,D,E)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(k2_integra2(A,D,E))) => ( r2_tarski(k1_funct_1(G,H),k1_relset_1(A,k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,E),H)))) & ? [I] : ( m2_finseq_2(I,k1_numbers,k1_euclid(B)) & I = k1_funct_1(k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,E),H)),k1_funct_1(G,H)) & k1_funct_1(k5_integr15(B,A,C,D,o_4_0_integr19(A,B,C,D),E),H) = k9_euclid(B,I,k3_integra1(k2_integra1(A,k2_integra2(A,D,E),H))) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [J] : ( m2_finseq_1(J,k1_numbers) & J = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) & k3_finseq_1(J) = k3_finseq_1(k2_integra2(A,D,F)) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(k2_integra2(A,D,F))) => ( r2_tarski(k1_funct_1(J,K),k1_relset_1(A,k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,F),K)))) & ? [L] : ( m2_finseq_2(L,k1_numbers,k1_euclid(B)) & L = k1_funct_1(k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,F),K)),k1_funct_1(J,K)) & k1_funct_1(k5_integr15(B,A,C,D,o_4_0_integr19(A,B,C,D),F),K) = k9_euclid(B,L,k3_integra1(k2_integra1(A,k2_integra2(A,D,F),K))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_21_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & m1_subset_1(C,u1_struct_0(A)) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k2_normsp_0(A,k5_algstr_0(A,F,C))) & r1_xxreal_0(D,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,B,F),k7_partfun1(k1_numbers,B,C)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),C))) & r1_xxreal_0(D,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,B,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F)),k7_partfun1(k1_numbers,B,C)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_21_7_2__polynom6,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) ) => ( ! [C] : ( m1_subset_1(C,k15_pre_poly(k10_ordinal2(A,B))) => ? [D] : ( m1_subset_1(D,k15_pre_poly(B)) & ? [E] : ( m2_subset_1(E,k14_pre_poly(A),k15_pre_poly(A)) & ? [F] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) & C = k1_polynom6(A,B,E,F) & D = F ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(B)))) & ! [D] : ( m1_subset_1(D,k15_pre_poly(k10_ordinal2(A,B))) => ? [G] : ( m2_subset_1(G,k14_pre_poly(A),k15_pre_poly(A)) & ? [H] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) & D = k1_polynom6(A,B,G,H) & k3_funct_2(k15_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(B),C,D) = H ) ) ) ) ) ) )).
fof(s3_funct_2__e7_21_7__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) & v3_ordinal1(B) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(k10_ordinal2(A,B)),u1_struct_0(C)))) ) => ( ! [E] : ( m1_subset_1(E,k15_pre_poly(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(B,C))) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & G = F & ! [H] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) => ! [I] : ( m2_subset_1(I,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) => ( r8_pboole(k10_ordinal2(A,B),I,k1_polynom6(A,B,E,H)) => k1_funct_1(G,H) = k4_polynom1(k10_ordinal2(A,B),C,D,I) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C))))) & ! [F] : ( m1_subset_1(F,k15_pre_poly(A)) => ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & J = k3_funct_2(k15_pre_poly(A),u1_struct_0(k12_polynom1(B,C)),E,F) & ! [K] : ( m2_subset_1(K,k14_pre_poly(B),k15_pre_poly(B)) => ! [L] : ( m2_subset_1(L,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) => ( r8_pboole(k10_ordinal2(A,B),L,k1_polynom6(A,B,F,K)) => k1_funct_1(J,K) = k4_polynom1(k10_ordinal2(A,B),C,D,L) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_22_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & m1_subset_1(C,u1_struct_0(A)) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k2_normsp_0(A,k5_algstr_0(A,F,C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,F),k7_partfun1(k2_numbers,B,C)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F)),k7_partfun1(k2_numbers,B,C)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_23_1__ncfcont1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & m1_subset_1(C,u1_struct_0(A)) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k2_normsp_0(A,k5_algstr_0(A,F,C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,F),k7_partfun1(k2_numbers,B,C)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F)),k7_partfun1(k2_numbers,B,C)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_23__integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k3_finseq_2(k1_numbers)) & ? [G] : ( m2_finseq_1(G,k1_numbers) & G = F & k3_finseq_1(G) = k3_finseq_1(k2_integra2(A,D,E)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(k2_integra2(A,D,E))) => ( r2_tarski(k1_funct_1(G,H),k1_relset_1(A,k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,E),H)))) & ? [I] : ( m1_subset_1(I,u1_struct_0(B)) & I = k1_funct_1(k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,E),H)),k1_funct_1(G,H)) & k1_funct_1(k2_integr18(B,A,C,D,o_4_1_integr21(A,B,C,D),E),H) = k1_rlvect_1(B,I,k3_integra1(k2_integra1(A,k2_integra2(A,D,E),H))) ) ) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [J] : ( m2_finseq_1(J,k1_numbers) & J = k3_funct_2(k4_ordinal1,k3_finseq_2(k1_numbers),E,F) & k3_finseq_1(J) = k3_finseq_1(k2_integra2(A,D,F)) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(k2_integra2(A,D,F))) => ( r2_tarski(k1_funct_1(J,K),k1_relset_1(A,k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,F),K)))) & ? [L] : ( m1_subset_1(L,u1_struct_0(B)) & L = k1_funct_1(k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,F),K)),k1_funct_1(J,K)) & k1_funct_1(k2_integr18(B,A,C,D,o_4_1_integr21(A,B,C,D),F),K) = k1_rlvect_1(B,L,k3_integra1(k2_integra1(A,k2_integra2(A,D,F),K))) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_24_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m4_measure8(E,A,B,D) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & ( F = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(G,H) = k1_measure8(A,B,k3_measure8(A,B,D,E,F),H) ) ) & ( F != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(G,H) = k1_xboole_0 ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A))))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( G = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A)),F,G),I) = k1_measure8(A,B,k3_measure8(A,B,D,E,G),I) ) ) & ( G != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k7_measure8),k1_nat_1(C,1)) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(A)),F,G),I) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_28_1__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & E != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(E)) & r1_xxreal_0(C,k7_xcmplx_0(k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,E)),k9_complex1(E))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,D,E) != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,D,E))) & r1_xxreal_0(C,k7_xcmplx_0(k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,k3_funct_2(k4_ordinal1,k1_numbers,D,E))),k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,D,E)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_29_1__measure7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & m2_measure7(D,C) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & ( E != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => k1_funct_1(F,G) = k2_measure7(k8_nat_1(k9_setfam_1(k1_numbers),C,E),k4_measure7(C,D,E),G) ) ) & ( E = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => k1_funct_1(F,G) = k1_xboole_0 ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers))))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( F != k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers)),E,F),H) = k2_measure7(k8_nat_1(k9_setfam_1(k1_numbers),C,F),k4_measure7(C,D,F),H) ) ) & ( F = k1_recdef_1(k4_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,A),k1_nat_1(B,1)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => k1_funct_1(k3_funct_2(k4_ordinal1,k9_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers)),E,F),H) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_29_1__ndiff_5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_numbers) & D != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(C,1)),k9_complex1(D)) & r1_xxreal_0(B,k7_xcmplx_0(k9_complex1(k3_funct_2(k1_numbers,k1_numbers,A,D)),k9_complex1(D))) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,C,D) != k5_numbers & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,C,D))) & r1_xxreal_0(B,k7_xcmplx_0(k9_complex1(k3_funct_2(k1_numbers,k1_numbers,A,k3_funct_2(k4_ordinal1,k1_numbers,C,D))),k9_complex1(k3_funct_2(k4_ordinal1,k1_numbers,C,D)))) ) ) ) ) ) )).
fof(s3_funct_2__e7_32_1__limfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(B,F)),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(B,F))) & r2_hidden(F,k9_xtuple_0(C)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(C,F),A))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(B,k3_funct_2(k4_ordinal1,k1_numbers,E,F))),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k6_xcmplx_0(B,k3_funct_2(k4_ordinal1,k1_numbers,E,F)))) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k9_xtuple_0(C)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(C,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),A))) ) ) ) ) ) )).
fof(s3_funct_2__e7_33_3_1_1_2__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(C) & m1_pralg_2(D,C,A) & m1_subset_1(E,u4_struct_0(A)) & m1_subset_1(F,k3_msualg_1(A,E,k14_pralg_2(C,A,D))) & ~ v1_xboole_0(G) & v1_finset_1(G) ) => ( ! [H] : ( m1_subset_1(H,G) => ? [I] : ( m1_subset_1(I,k14_msualg_2(A,B)) & ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & ? [K] : ( v3_msualg_1(K,A) & v4_msualg_1(K,A) & v3_msafree2(K,A) & m1_msualg_2(K,A,B) & J = k1_funct_1(F,H) & ! [L] : ( ( v3_msualg_1(L,A) & v4_msualg_1(L,A) & v3_msafree2(L,A) & m1_msualg_2(L,A,B) ) => ( m1_msualg_2(K,A,L) => k1_funct_1(J,K) = k1_funct_1(J,L) ) ) & I = K ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,G,k14_msualg_2(A,B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(G,k14_msualg_2(A,B)))) & ! [I] : ( m1_subset_1(I,G) => ? [M] : ( v1_relat_1(M) & v1_funct_1(M) & ? [N] : ( v3_msualg_1(N,A) & v4_msualg_1(N,A) & v3_msafree2(N,A) & m1_msualg_2(N,A,B) & M = k1_funct_1(F,I) & ! [O] : ( ( v3_msualg_1(O,A) & v4_msualg_1(O,A) & v3_msafree2(O,A) & m1_msualg_2(O,A,B) ) => ( m1_msualg_2(N,A,O) => k1_funct_1(M,N) = k1_funct_1(M,O) ) ) & k3_funct_2(G,k14_msualg_2(A,B),H,I) = N ) ) ) ) ) ) )).
fof(s3_funct_2__e7_34__cfdiff_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) & v1_xcmplx_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k2_numbers) & r2_hidden(D,a_2_3_cfdiff_1(B,C)) & r2_hidden(D,k3_subset_1(k2_numbers,A)) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k2_numbers,C,D),a_2_3_cfdiff_1(B,D)) & r2_hidden(k3_funct_2(k4_ordinal1,k2_numbers,C,D),k3_subset_1(k2_numbers,A)) ) ) ) ) ) )).
fof(s3_funct_2__e7_34__nagata_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & D = a_2_0_nagata_1(B,C) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))),C,D) = a_2_0_nagata_1(B,D) ) ) ) ) )).
fof(s3_funct_2__e7_36__bagorder,axiom,( ! [A] : ( ( v3_ordinal1(A) & ~ v1_finset_1(A) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,u1_struct_0(g1_orders_2(k15_pre_poly(A),k17_pre_poly(A)))) & C = k14_funct_7(A,k4_ordinal1,k8_funcop_1(k4_ordinal1,A,k5_numbers),B,1) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k17_pre_poly(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k17_pre_poly(A)))))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k17_pre_poly(A))),B,C) = k14_funct_7(A,k4_ordinal1,k8_funcop_1(k4_ordinal1,A,k5_numbers),C,1) ) ) ) ) )).
fof(s3_funct_2__e7_40__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(D,A,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(E,k1_zfmisc_1(A),B) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,B) & r1_tarski(G,E) & k12_supinf_2(C,k7_subset_1(A,E,G)) = k5_numbers & ! [H] : ( m1_subset_1(H,A) => ~ ( r2_tarski(H,G) & r1_xxreal_0(k1_xxreal_0,k3_extreal1(k12_supinf_2(k4_mesfunc5(A,k6_numbers,D,F),H))) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_tarski(k3_funct_2(k4_ordinal1,B,F,G),E) & k12_supinf_2(C,k7_subset_1(A,E,k3_funct_2(k4_ordinal1,B,F,G))) = k5_numbers & ! [I] : ( m1_subset_1(I,A) => ~ ( r2_tarski(I,k3_funct_2(k4_ordinal1,B,F,G)) & r1_xxreal_0(k1_xxreal_0,k3_extreal1(k12_supinf_2(k4_mesfunc5(A,k6_numbers,D,G),I))) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_45_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ~ r1_xxreal_0(F,k6_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(E,1)))) & ~ r1_xxreal_0(B,F) & r2_hidden(F,k1_relset_1(k1_numbers,C)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(C,F),A))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k6_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(F,1)))) & ~ r1_xxreal_0(B,k3_funct_2(k4_ordinal1,k1_numbers,E,F)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,C)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(C,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),A))) ) ) ) ) ) )).
fof(s3_funct_2__e7_46_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ~ r1_xxreal_0(F,B) & ~ r1_xxreal_0(k2_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(E,1))),F) & r2_hidden(F,k1_relset_1(k1_numbers,C)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(C,F),A))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,E,F),B) & ~ r1_xxreal_0(k2_xcmplx_0(B,k7_xcmplx_0(1,k1_nat_1(F,1))),k3_funct_2(k4_ordinal1,k1_numbers,E,F)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,C)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(C,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),A))) ) ) ) ) ) )).
fof(s3_funct_2__e7_46__bagorder,axiom,( ! [A] : ( ( v3_ordinal1(A) & ~ v1_finset_1(A) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( m1_subset_1(C,u1_struct_0(g1_orders_2(k15_pre_poly(A),k6_bagorder(A)))) & C = k14_funct_7(A,k4_ordinal1,k8_funcop_1(k4_ordinal1,A,k5_numbers),B,1) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k6_bagorder(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k6_bagorder(A)))))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(g1_orders_2(k15_pre_poly(A),k6_bagorder(A))),B,C) = k14_funct_7(A,k4_ordinal1,k8_funcop_1(k4_ordinal1,A,k5_numbers),C,1) ) ) ) ) )).
fof(s3_funct_2__e7_49_1_1__fdiff_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & v2_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_funct_1(B) & v9_ordinal1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(C) & v3_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( G = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),E) & H = k3_funct_2(k4_ordinal1,k1_numbers,D,E) ) => G = k1_funct_1(A,k2_xcmplx_0(H,F)) ) ) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ( ( I = k3_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),F) & J = k3_funct_2(k4_ordinal1,k1_numbers,D,F) ) => I = k1_funct_1(A,k2_xcmplx_0(J,k3_funct_2(k4_ordinal1,k1_numbers,E,F))) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_7_1_1_1_1__weierstr,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ~ v1_xboole_0(E) ) => ( ! [F] : ( m1_subset_1(F,E) => ? [G] : ( m1_subset_1(G,k9_setfam_1(k2_struct_0(B))) & ! [H] : ( m1_subset_1(H,E) => ( F = H => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(k2_struct_0(B))) => ( G = I => ( r2_tarski(I,D) & H = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,I) ) ) ) ) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,E,k9_setfam_1(k2_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,k9_setfam_1(k2_struct_0(B))))) & ! [G] : ( m1_subset_1(G,E) => ! [J] : ( m1_subset_1(J,E) => ( G = J => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(k2_struct_0(B))) => ( k3_funct_2(E,k9_setfam_1(k2_struct_0(B)),F,G) = K => ( r2_tarski(K,D) & J = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,K) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e7_9_1__nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & r2_hidden(F,k1_relset_1(k1_numbers,C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(F,A))) & r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,F),k7_partfun1(u1_struct_0(B),C,A)))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,E,F),A))) & r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),k7_partfun1(u1_struct_0(B),C,A)))) ) ) ) ) ) )).
fof(s3_funct_2__e8_13_1__nfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(F,1)),k2_normsp_0(A,k5_algstr_0(A,G,D))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,G),k7_partfun1(u1_struct_0(B),C,D)))) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),k1_relset_1(u1_struct_0(A),C)) & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_xcmplx_0(G,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),D))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G)),k7_partfun1(u1_struct_0(B),C,D)))) ) ) ) ) ) )).
fof(s3_funct_2__e8_14__zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(k5_zmodul04(A))) & C = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k1_domain_1(u1_struct_0(A),k4_ordinal1,B,1)) ) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k5_zmodul04(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),B,C) = k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k1_domain_1(u1_struct_0(A),k4_ordinal1,C,1)) ) ) ) ) )).
fof(s3_funct_2__e8_18_2_1__zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) & m2_vectsp_6(C,k11_gaussint,k5_zmodul04(A),B) & m1_subset_1(D,u1_struct_0(k5_zmodul04(A))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k5_zmodul04(A))) => ? [F] : ( m1_subset_1(F,u1_struct_0(k11_gaussint)) & ( r2_tarski(E,k6_domain_1(u1_struct_0(k5_zmodul04(A)),D)) => F = k5_numbers ) & ( ~ r2_tarski(E,k6_domain_1(u1_struct_0(k5_zmodul04(A)),D)) => F = k3_funct_2(u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint),C,E) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k5_zmodul04(A))) => ( ( r2_tarski(F,k6_domain_1(u1_struct_0(k5_zmodul04(A)),D)) => k3_funct_2(u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint),E,F) = k5_numbers ) & ( ~ r2_tarski(F,k6_domain_1(u1_struct_0(k5_zmodul04(A)),D)) => k3_funct_2(u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint),E,F) = k3_funct_2(u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint),C,F) ) ) ) ) ) ) )).
fof(s3_funct_2__e8_22__arrow,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k9_funct_2(B,k3_arrow(A)),k2_arrow(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k3_arrow(A)),k2_arrow(A)))) ) => ( ! [D] : ( m1_subset_1(D,k9_funct_2(B,k2_arrow(A))) => ? [E] : ( m1_subset_1(E,k2_arrow(A)) & ? [F] : ( m2_funct_2(F,B,k3_arrow(A),k9_funct_2(B,k3_arrow(A))) & ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ( ( r1_arrow(k3_funct_2(B,k2_arrow(A),D,G),H,I) & ~ ( r1_arrow(k3_funct_2(B,k2_arrow(A),D,G),I,H) & ~ r1_arrow(o_1_2_arrow(A),H,I) ) ) <=> r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),F,G),H,I) ) ) ) ) & k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,F) = E ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_funct_2(B,k2_arrow(A)),k2_arrow(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k2_arrow(A)),k2_arrow(A)))) & ! [E] : ( m1_subset_1(E,k9_funct_2(B,k2_arrow(A))) => ? [J] : ( m2_funct_2(J,B,k3_arrow(A),k9_funct_2(B,k3_arrow(A))) & ! [K] : ( m1_subset_1(K,B) => ! [L] : ( m1_subset_1(L,A) => ! [M] : ( m1_subset_1(M,A) => ( ( r1_arrow(k3_funct_2(B,k2_arrow(A),E,K),L,M) & ~ ( r1_arrow(k3_funct_2(B,k2_arrow(A),E,K),M,L) & ~ r1_arrow(o_1_2_arrow(A),L,M) ) ) <=> r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),J,K),L,M) ) ) ) ) & k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,J) = k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),D,E) ) ) ) ) ) )).
fof(s3_funct_2__e8_27__group_17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,k1_tarski(A)) & v1_funct_1(B) & v1_partfun1(B,k1_tarski(A)) & v1_group_7(B) & v2_group_7(B,k1_tarski(A)) & v3_group_7(B,k1_tarski(A)) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ? [E] : ( m1_subset_1(E,u1_struct_0(k2_group_7(k1_tarski(A),B))) & E = k17_funcop_1(A,D) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k2_group_7(k1_tarski(A),B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_group_7(k1_tarski(A),B))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(k2_group_7(k1_tarski(A),B)),D,E) = k17_funcop_1(A,E) ) ) ) ) )).
fof(s3_funct_2__e8_31__equation,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(C) ) => ( ! [D] : ( m1_subset_1(D,C) => ? [E] : ( m1_subset_1(E,k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) & ? [F] : ( v3_msualg_1(F,A) & v4_msualg_1(F,A) & m1_msualg_2(F,A,B) & ? [G] : ( m1_msafree(G,A,F) & D = F & E = G & v2_relat_1(G) & v2_finset_1(G) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_closure2(u1_struct_0(A),u3_msualg_1(A,B))))) & ! [E] : ( m1_subset_1(E,C) => ? [H] : ( v3_msualg_1(H,A) & v4_msualg_1(H,A) & m1_msualg_2(H,A,B) & ? [I] : ( m1_msafree(I,A,H) & E = H & k3_funct_2(C,k6_closure2(u1_struct_0(A),u3_msualg_1(A,B)),D,E) = I & v2_relat_1(I) & v2_finset_1(I) ) ) ) ) ) ) )).
fof(s3_funct_2__e8_34__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))) & v5_pre_topc(B,k2_borsuk_1(A,k5_topmetr),k8_toprealb(2)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))))) & m1_subset_1(C,u1_struct_0(A)) & ~ v1_xboole_0(D) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k5_topmetr)) => ? [F] : ( m1_subset_1(F,D) & ? [G] : ( v3_pre_topc(G,k8_toprealb(2)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k8_toprealb(2)))) & r2_tarski(G,D) & r2_tarski(k1_funct_1(B,k4_tarski(C,E)),G) & F = G ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),D))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => ? [H] : ( v3_pre_topc(H,k8_toprealb(2)) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k8_toprealb(2)))) & r2_tarski(H,D) & r2_tarski(k1_funct_1(B,k4_tarski(C,F)),H) & k3_funct_2(u1_struct_0(k5_topmetr),D,E,F) = H ) ) ) ) ) )).
fof(s3_funct_2__e8_39__prvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k14_prvect_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k14_prvect_2(A))))) & m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,u1_struct_0(k11_prvect_2(A,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(k4_prvect_2(A))) & F = k1_normsp_0(k14_prvect_2(A),B,D) & E = k1_funct_1(F,C) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k11_prvect_2(A,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_prvect_2(A,C))))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k4_card_3(k4_prvect_2(A))) & G = k1_normsp_0(k14_prvect_2(A),B,E) & k3_funct_2(k4_ordinal1,u1_struct_0(k11_prvect_2(A,C)),D,E) = k1_funct_1(G,C) ) ) ) ) ) )).
fof(s3_funct_2__e8_62__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & m2_card_fil(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)))) ) => ( ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,k6_card_fil(A)) & ~ r2_tarski(k1_binop_1(C,E,D),B) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,k6_card_fil(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_card_fil(A)))) & ! [E] : ( m1_subset_1(E,A) => ~ r2_tarski(k1_binop_1(C,k3_funct_2(A,k6_card_fil(A),D,E),E),B) ) ) ) ) )).
fof(s3_funct_2__e8_76_1__limfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(D),E) & r2_hidden(E,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),B))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k4_xcmplx_0(E),k3_funct_2(k4_ordinal1,k1_numbers,D,E)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),B))) ) ) ) ) ) )).
fof(s3_funct_2__e8_7__fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & r2_tarski(F,k1_rcomp_1(k6_xcmplx_0(B,k7_xcmplx_0(D,k1_nat_1(E,1))),B)) & r2_tarski(F,k1_relset_1(k1_numbers,A)) & k1_funct_1(A,F) = C ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_rcomp_1(k6_xcmplx_0(B,k7_xcmplx_0(D,k1_nat_1(F,1))),B)) & r2_tarski(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,A)) & k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,E,F)) = C ) ) ) ) ) )).
fof(s3_funct_2__e8_82__matrix11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) & v7_ordinal1(E) & ~ v1_xboole_0(F) ) => ( ! [G] : ( m1_subset_1(G,F) => ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_finseq_1(E),k2_finseq_1(A)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(E),k2_finseq_1(A)))) ) => ( I = G => ! [J] : ( ( v1_matrix_0(J) & v2_matrix_0(J,u1_struct_0(B),A,A) & m2_finseq_1(J,k3_finseq_2(u1_struct_0(B))) ) => ~ ( J = k1_funct_4(k4_matrix_3(B,C,D),k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A),I),D),k2_finseq_1(E))) & ! [K] : ( v7_ordinal1(K) => ( ( r2_tarski(K,k2_finseq_1(E)) => k1_funct_1(J,K) = k1_funct_1(D,k1_funct_1(I,K)) ) & ( ~ r2_tarski(K,k2_finseq_1(E)) => k1_funct_1(J,K) = k1_funct_1(k4_matrix_3(B,C,D),K) ) ) ) & ! [K] : ( m2_finseq_1(K,u1_struct_0(B)) => ~ ( k3_finseq_1(K) = E & ! [L] : ( v7_ordinal1(L) => ! [M] : ( v7_ordinal1(M) => ( ( r2_tarski(M,k2_finseq_1(E)) & L = k1_funct_1(I,M) ) => k1_funct_1(K,M) = k3_matrix_0(u1_struct_0(B),C,M,L) ) ) ) & H = k8_group_1(B,k1_finsop_1(u1_struct_0(B),K,u2_algstr_0(B)),k12_matrix_3(A,B,J)) ) ) ) ) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,F,u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(F,u1_struct_0(B)))) & ! [H] : ( m1_subset_1(H,F) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k2_finseq_1(E),k2_finseq_1(A)) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(E),k2_finseq_1(A)))) ) => ( N = H => ! [O] : ( ( v1_matrix_0(O) & v2_matrix_0(O,u1_struct_0(B),A,A) & m2_finseq_1(O,k3_finseq_2(u1_struct_0(B))) ) => ~ ( O = k1_funct_4(k4_matrix_3(B,C,D),k5_relat_1(k3_relat_1(k1_funct_4(k1_finseq_2(A),N),D),k2_finseq_1(E))) & ! [P] : ( v7_ordinal1(P) => ( ( r2_tarski(P,k2_finseq_1(E)) => k1_funct_1(O,P) = k1_funct_1(D,k1_funct_1(N,P)) ) & ( ~ r2_tarski(P,k2_finseq_1(E)) => k1_funct_1(O,P) = k1_funct_1(k4_matrix_3(B,C,D),P) ) ) ) & ! [P] : ( m2_finseq_1(P,u1_struct_0(B)) => ~ ( k3_finseq_1(P) = E & ! [Q] : ( v7_ordinal1(Q) => ! [R] : ( v7_ordinal1(R) => ( ( r2_tarski(R,k2_finseq_1(E)) & Q = k1_funct_1(N,R) ) => k1_funct_1(P,R) = k3_matrix_0(u1_struct_0(B),C,R,Q) ) ) ) & k3_funct_2(F,u1_struct_0(B),G,H) = k8_group_1(B,k1_finsop_1(u1_struct_0(B),P,u2_algstr_0(B)),k12_matrix_3(A,B,O)) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_funct_2__e8_9__fdiff_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & r2_tarski(F,k1_rcomp_1(B,k2_xcmplx_0(B,k7_xcmplx_0(D,k1_nat_1(E,1))))) & r2_tarski(F,k1_relset_1(k1_numbers,A)) & k1_funct_1(A,F) = C ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_rcomp_1(B,k2_xcmplx_0(B,k7_xcmplx_0(D,k1_nat_1(F,1))))) & r2_tarski(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,A)) & k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,E,F)) = C ) ) ) ) ) )).
fof(s3_funct_2__e9_116_4_4_2__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v6_waybel_0(D,A) & v7_waybel_0(D) & v1_yellow_6(D,A) & l1_waybel_0(D,A) & v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,u1_struct_0(D)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(D)) & ~ v2_struct_0(F) & v4_orders_2(F) & v7_waybel_0(F) & l1_waybel_0(F,A) & m1_subset_1(G,u1_struct_0(D)) ) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => ? [I] : ( m1_subset_1(I,k1_funct_1(E,G)) & k1_funct_1(u1_waybel_0(A,F),H) = k1_funct_1(u1_waybel_0(A,C),I) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(F),k1_funct_1(E,G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(F),k1_funct_1(E,G)))) & ! [I] : ( m1_subset_1(I,u1_struct_0(F)) => k1_funct_1(u1_waybel_0(A,F),I) = k1_funct_1(u1_waybel_0(A,C),k3_funct_2(u1_struct_0(F),k1_funct_1(E,G),H,I)) ) ) ) ) )).
fof(s3_funct_2__e9_11__fcont_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & r2_hidden(E,B) & ? [F] : ( m1_subset_1(F,k1_numbers) & r2_tarski(F,B) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(D,1)),k9_complex1(k6_xcmplx_0(E,F))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),k1_funct_1(A,F)))) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),B) & ? [G] : ( m1_subset_1(G,k1_numbers) & r2_tarski(G,B) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),G))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),k1_funct_1(A,G)))) ) ) ) ) ) ) )).
fof(s3_funct_2__e9_13_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ~ r1_xxreal_0(F,k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(E,1)))) & ~ r1_xxreal_0(A,F) & r2_hidden(F,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,F),C))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k6_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(F,1)))) & ~ r1_xxreal_0(A,k3_funct_2(k4_ordinal1,k1_numbers,E,F)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,B)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),C))) ) ) ) ) ) )).
fof(s3_funct_2__e9_14_1__limfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,F)),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(A,F))) & r2_hidden(F,k9_xtuple_0(B)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,F),C))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,k3_funct_2(k4_ordinal1,k1_numbers,E,F))),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k6_xcmplx_0(A,k3_funct_2(k4_ordinal1,k1_numbers,E,F)))) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k9_xtuple_0(B)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),C))) ) ) ) ) ) )).
fof(s3_funct_2__e9_14__mfold_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(k15_euclid(B))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) & E = k1_rlvect_1(k15_euclid(B),k5_algstr_0(k15_euclid(B),D,C),k7_xcmplx_0(1,A)) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(B))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) => k3_funct_2(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(B)),D,E) = k1_rlvect_1(k15_euclid(B),k5_algstr_0(k15_euclid(B),E,C),k7_xcmplx_0(1,A)) ) ) ) ) )).
fof(s3_funct_2__e9_16_1__limfunc2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(C) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & ~ r1_xxreal_0(F,A) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(E,1))),F) & r2_hidden(F,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,F),C))) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,E,F),A) & ~ r1_xxreal_0(k2_xcmplx_0(A,k7_xcmplx_0(1,k1_nat_1(F,1))),k3_funct_2(k4_ordinal1,k1_numbers,E,F)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),k1_relset_1(k1_numbers,B)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),C))) ) ) ) ) ) )).
fof(s3_funct_2__e9_26_1__monoid_0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,C,D) = B & k6_algstr_0(A,D,C) = B ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,D,k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D)) = B & k6_algstr_0(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D),D) = B ) ) ) ) ) )).
fof(s3_funct_2__e9_26__waybel31,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) & ~ v1_xboole_0(C) ) => ( ! [D] : ( m1_subset_1(D,k3_finseq_2(B)) => ? [E] : ( m1_subset_1(E,C) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & F = k7_partfun1(B,D,1) & G = k10_xtuple_0(k2_finseq_3(1,D)) & E = k2_waybel31(A,G,F) ) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k3_finseq_2(B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B),C))) & ! [E] : ( m1_subset_1(E,k3_finseq_2(B)) => ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & H = k7_partfun1(B,E,1) & I = k10_xtuple_0(k2_finseq_3(1,E)) & k3_funct_2(k3_finseq_2(B),C,D,E) = k2_waybel31(A,I,H) ) ) ) ) ) ) )).
fof(s3_funct_2__e9_34__ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,G,H))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,G),k7_partfun1(u1_struct_0(B),C,H)))) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),D) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(I,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),I))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G)),k7_partfun1(u1_struct_0(B),C,I)))) ) ) ) ) ) ) )).
fof(s3_funct_2__e9_35__ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r2_tarski(G,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(B,k5_algstr_0(B,G,H))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,G),k7_partfun1(u1_struct_0(A),C,H)))) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(B),F,G),D) & ? [I] : ( m1_subset_1(I,u1_struct_0(B)) & r2_tarski(I,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(B,k5_algstr_0(B,k3_funct_2(k4_ordinal1,u1_struct_0(B),F,G),I))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,k3_funct_2(k4_ordinal1,u1_struct_0(B),F,G)),k7_partfun1(u1_struct_0(A),C,I)))) ) ) ) ) ) ) )).
fof(s3_funct_2__e9_36__ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v1_xreal_0(E) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & r2_tarski(G,D) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k2_normsp_0(A,k5_algstr_0(A,G,H))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,G),k7_partfun1(u1_struct_0(B),C,H)))) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),D) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(I,D) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(G,1)),k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G),I))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_funct_2(k4_ordinal1,u1_struct_0(A),F,G)),k7_partfun1(u1_struct_0(B),C,I)))) ) ) ) ) ) ) )).
fof(s3_funct_2__e9_44_1__limfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(E,D) & r2_hidden(E,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),B))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k3_funct_2(k4_ordinal1,k1_numbers,D,E),E) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),B))) ) ) ) ) ) )).
fof(s3_funct_2__e9_45_1__limfunc1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & v1_xreal_0(C) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ? [E] : ( m1_subset_1(E,k1_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(D),E) & r2_hidden(E,k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,E),B))) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ~ r1_xxreal_0(k4_xcmplx_0(E),k3_funct_2(k4_ordinal1,k1_numbers,D,E)) & r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,D,E),k1_relset_1(k1_numbers,A)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(A,k3_funct_2(k4_ordinal1,k1_numbers,D,E)),B))) ) ) ) ) ) )).
fof(s3_funct_2__e9_4__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k1_numbers) & r2_hidden(F,C) & ? [G] : ( m1_subset_1(G,k1_numbers) & r2_tarski(G,C) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(E,1)),k9_complex1(k6_xcmplx_0(F,G))) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,F),k7_partfun1(u1_struct_0(A),B,G)))) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_hidden(k3_funct_2(k4_ordinal1,k1_numbers,E,F),C) & ? [H] : ( m1_subset_1(H,k1_numbers) & r2_tarski(H,C) & ~ r1_xxreal_0(k7_xcmplx_0(1,k1_nat_1(F,1)),k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,E,F),H))) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,k3_funct_2(k4_ordinal1,k1_numbers,E,F)),k7_partfun1(u1_struct_0(A),B,H)))) ) ) ) ) ) ) )).
fof(s3_funct_7__e3_100__compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => ( ( ! [C] : ~ ( r2_tarski(C,k9_xtuple_0(B)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => C != D ) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( C = D => C = D ) ) ) ) => r2_wellord2(k9_xtuple_0(B),a_2_5_compos_1(A,B)) ) ) )).
fof(s3_funct_7__e3_176__funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) ) => ( ( ! [B] : ~ ( r2_tarski(B,k1_relset_1(k4_ordinal1,A)) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => B != C ) ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( B = C => B = C ) ) ) ) => r2_wellord2(k1_relset_1(k4_ordinal1,A),a_1_8_funct_7(A)) ) ) )).
fof(s3_funct_7__e7_43__ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v5_ami_wstd(C,A,B) ) => ( ( ! [D] : ~ ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => D != k1_ami_wstd(A,B,E) ) ) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k1_ami_wstd(A,B,D) = k1_ami_wstd(A,B,E) => D = E ) ) ) ) => r2_wellord2(k1_relset_1(k4_ordinal1,C),a_3_4_ami_wstd(A,B,C)) ) ) )).
fof(s3_int_1__e3_14_1_2__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) ) => ( ( r2_tarski(k2_bcialg_6(A,B,k5_numbers),k5_bcialg_1(A)) & ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(C,k5_numbers) & r2_tarski(k2_bcialg_6(A,B,C),k5_bcialg_1(A)) ) => r2_tarski(k2_bcialg_6(A,B,k6_xcmplx_0(C,1)),k5_bcialg_1(A)) ) ) ) => ! [C] : ( v1_int_1(C) => ( r1_xxreal_0(C,k5_numbers) => r2_tarski(k2_bcialg_6(A,B,C),k5_bcialg_1(A)) ) ) ) ) )).
fof(s3_int_1__e6_23_1_1_2__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) & m1_subset_1(D,k4_ordinal1) ) => ( ( ( r1_xxreal_0(k5_numbers,D) => r1_xxreal_0(k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(D))),k2_xcmplx_0(k6_xcmplx_0(B,A),D)) ) & ! [E] : ( v1_int_1(E) => ( ( r1_xxreal_0(E,D) & ( r1_xxreal_0(k5_numbers,E) => r1_xxreal_0(k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(E))),k2_xcmplx_0(k6_xcmplx_0(B,A),E)) ) ) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(E,1)) => r1_xxreal_0(k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(k6_xcmplx_0(E,1)))),k2_xcmplx_0(k6_xcmplx_0(B,A),k6_xcmplx_0(E,1))) ) ) ) ) => ! [E] : ( v1_int_1(E) => ( r1_xxreal_0(E,D) => ( r1_xxreal_0(k5_numbers,E) => r1_xxreal_0(k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(E))),k2_xcmplx_0(k6_xcmplx_0(B,A),E)) ) ) ) ) ) )).
fof(s3_jgraph_2__e43__jgraph_2,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) ) => ( v4_pre_topc(a_0_5_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_5_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s3_jgraph_2__e46__jgraph_2,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) & k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) ) => ( v4_pre_topc(a_0_4_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_4_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s3_jgraph_2__e49__jgraph_2,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k17_euclid(A)),k4_xcmplx_0(k17_euclid(B))) & k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B)))),k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) ) => ( v4_pre_topc(a_0_6_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_6_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s3_jgraph_2__e52__jgraph_2,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k18_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k18_euclid(A),k18_euclid(B)) & k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k17_euclid(A)),k4_xcmplx_0(k17_euclid(B))) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k4_xcmplx_0(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))))) ) ) ) => ( v4_pre_topc(a_0_7_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_7_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s3_jgraph_2__e55__jgraph_2,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k18_euclid(A)),k4_xcmplx_0(k18_euclid(B))) & k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B)))),k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B)))) ) ) ) => ( v4_pre_topc(a_0_8_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_8_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s3_jgraph_2__e58__jgraph_2,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k6_xcmplx_0(k4_xcmplx_0(k18_euclid(A)),k4_xcmplx_0(k18_euclid(B))) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_square_1(k12_euclid(k5_algstr_0(k15_euclid(2),A,B))) = k2_xcmplx_0(k1_square_1(k17_euclid(k5_algstr_0(k15_euclid(2),A,B))),k1_square_1(k4_xcmplx_0(k18_euclid(k5_algstr_0(k15_euclid(2),A,B))))) ) ) ) => ( v4_pre_topc(a_0_9_jgraph_2,k15_euclid(2)) & m1_subset_1(a_0_9_jgraph_2,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s3_msafree1__e8_15__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B)) & m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B)) ) => ( ( r1_msualg_3(A,k11_msafree(A,C),B,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ! [H] : ( r2_tarski(H,k12_msafree(A,C,F)) => ( k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B),D,F),H) = G <=> k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B),D,F),H) = G ) ) ) & r1_msualg_3(A,k11_msafree(A,C),B,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ! [H] : ( r2_tarski(H,k12_msafree(A,C,F)) => ( k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B),E,F),H) = G <=> k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B),D,F),H) = G ) ) ) ) => r8_pboole(u1_struct_0(A),D,E) ) ) )).
fof(s3_msafree5__e1_196_3__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v3_msualg_6(F,A,k1_msafree3(A,C)) & v4_msualg_6(F,A,k1_msafree3(A,C)) & v12_msafree4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))) & v13_msafree4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))) & v14_msafree4(F,A,C) & m1_msualg_4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C))) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,H)) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) => ( J = k6_msafree5(A,C,H,I) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),J)),J) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),J) ) ) ) ) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m1_msafree4(I,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,H,k1_msafree3(A,C))) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) => ( ( J = k7_msafree5(A,C,H,I) & ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) => ( r2_tarski(K,k10_xtuple_0(I)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),K)),K) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),K) ) ) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),J)),J) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),J) ) ) ) ) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),G)),G) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),G) ) ) )).
fof(s3_msafree5__e3_184__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,F))) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,H)) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,F))) => ( J = k6_msafree5(A,C,H,I) => ( ( v9_msafree5(J,A,C,F,B,D) & v9_msafree5(J,A,C,F,B,E) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,J)),J) = J ) ) ) ) ) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m1_msafree4(I,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,H,k1_msafree3(A,C))) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,F))) => ( ( J = k7_msafree5(A,C,H,I) & ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,F))) => ( r2_tarski(K,k10_xtuple_0(I)) => ( ( v9_msafree5(K,A,C,F,B,D) & v9_msafree5(K,A,C,F,B,E) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,K)),K) = K ) ) ) ) => ( ( v9_msafree5(J,A,C,F,B,D) & v9_msafree5(J,A,C,F,B,E) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,J)),J) = J ) ) ) ) ) ) => ( ( v9_msafree5(G,A,C,F,B,D) & v9_msafree5(G,A,C,F,B,E) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,G)),G) = G ) ) ) )).
fof(s3_msafree5__e3_196_4__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v3_msualg_6(F,A,k1_msafree3(A,C)) & v4_msualg_6(F,A,k1_msafree3(A,C)) & v12_msafree4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))) & v13_msafree4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))) & v14_msafree4(F,A,C) & m1_msualg_4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C))) & m1_subset_1(G,u1_struct_0(A)) & m1_msafree4(H,u1_struct_0(A),u3_msualg_1(A,k10_msafree4(A,C,F)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k10_msafree4(A,C,F)),G)) ) => ( ( ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_msafree4(J,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,I)) => ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) => ( K = k6_msafree5(A,C,I,J) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),K)),K) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),K) ) ) ) ) & ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ! [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,I,k1_msafree3(A,C))) => ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) => ( ( K = k7_msafree5(A,C,I,J) & ! [L] : ( m1_subset_1(L,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) => ( r2_tarski(L,k10_xtuple_0(J)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),L)),L) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),L) ) ) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),K)),K) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),K) ) ) ) ) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),H)),H) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),H) ) ) )).
fof(s3_msafree5__e4_191__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) & m1_msafree4(G,u1_struct_0(A),u3_msualg_1(A,F),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),B)) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,H)) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,F))) => ( J = k6_msafree5(A,C,H,I) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,J)),J) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,F,J)),J) ) ) ) ) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m1_msafree4(I,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,H,k1_msafree3(A,C))) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,F))) => ( ( J = k7_msafree5(A,C,H,I) & ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,F))) => ( r2_tarski(K,k10_xtuple_0(I)) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,K)),K) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,F,K)),K) ) ) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,J)),J) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,F,J)),J) ) ) ) ) ) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),k3_msafree5(A,F,G)),G) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,F,G)),G) ) ) )).
fof(s3_msafree5__e5_192__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,F))) ) => ( ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,H)) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,F))) => ( J = k6_msafree5(A,C,H,I) => ( v9_msafree5(J,A,C,F,B,E) => v9_msafree5(k4_msafree5(A,F,F,k22_msafree5(A,C,F,B,D,E),J),A,C,F,B,D) ) ) ) ) ) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m1_msafree4(I,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,H,k1_msafree3(A,C))) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,F))) => ( ( J = k7_msafree5(A,C,H,I) & ! [K] : ( m1_subset_1(K,k3_card_3(u3_msualg_1(A,F))) => ( r2_tarski(K,k10_xtuple_0(I)) => ( v9_msafree5(K,A,C,F,B,E) => v9_msafree5(k4_msafree5(A,F,F,k22_msafree5(A,C,F,B,D,E),K),A,C,F,B,D) ) ) ) ) => ( v9_msafree5(J,A,C,F,B,E) => v9_msafree5(k4_msafree5(A,F,F,k22_msafree5(A,C,F,B,D,E),J),A,C,F,B,D) ) ) ) ) ) ) => ( v9_msafree5(G,A,C,F,B,E) => v9_msafree5(k4_msafree5(A,F,F,k22_msafree5(A,C,F,B,D,E),G),A,C,F,B,D) ) ) ) )).
fof(s3_msaterm__e4_63__msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m2_pboole(D,u1_struct_0(A),C,u3_msualg_1(A,B)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finset_1(G) & v3_trees_2(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finset_1(H) & v3_trees_2(H) ) => ( ( r1_msaterm(A,B,C,k4_msaterm(A,B,C,E,F),D,G) & r1_msaterm(A,B,C,k4_msaterm(A,B,C,E,F),D,H) ) => G = H ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(C,E)) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finset_1(I) & v3_trees_2(I) ) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finset_1(J) & v3_trees_2(J) ) => ( ( r1_msaterm(A,B,C,k5_msaterm(A,B,C,E,F),D,I) & r1_msaterm(A,B,C,k5_msaterm(A,B,C,E,F),D,J) ) => I = J ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msaterm(F,A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E)) => ( ! [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( r2_tarski(K,k10_xtuple_0(F)) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finset_1(L) & v3_trees_2(L) ) => ! [M] : ( ( v1_relat_1(M) & v1_funct_1(M) & v1_finset_1(M) & v3_trees_2(M) ) => ( ( r1_msaterm(A,B,C,K,D,L) & r1_msaterm(A,B,C,K,D,M) ) => L = M ) ) ) ) ) => ! [N] : ( ( v1_relat_1(N) & v1_funct_1(N) & v1_finset_1(N) & v3_trees_2(N) ) => ! [O] : ( ( v1_relat_1(O) & v1_funct_1(O) & v1_finset_1(O) & v3_trees_2(O) ) => ( ( r1_msaterm(A,B,C,k6_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E),F),D,N) & r1_msaterm(A,B,C,k6_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E),F),D,O) ) => N = O ) ) ) ) ) ) ) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ! [P] : ( ( v1_relat_1(P) & v1_funct_1(P) & v1_finset_1(P) & v3_trees_2(P) ) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) & v1_finset_1(Q) & v3_trees_2(Q) ) => ( ( r1_msaterm(A,B,C,E,D,P) & r1_msaterm(A,B,C,E,D,Q) ) => P = Q ) ) ) ) ) ) )).
fof(s3_msaterm__e4_64__msaterm,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m4_msaterm(C,A,B) & m2_pboole(D,u1_struct_0(A),C,u3_msualg_1(A,B)) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finset_1(G) & v3_trees_2(G) ) => ( r1_msaterm(A,B,C,k4_msaterm(A,B,C,E,F),D,G) => r2_tarski(k1_funct_1(G,k1_xboole_0),k1_funct_1(u3_msualg_1(A,B),k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k4_msaterm(A,B,C,E,F)))) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(C,E)) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finset_1(H) & v3_trees_2(H) ) => ( r1_msaterm(A,B,C,k5_msaterm(A,B,C,E,F),D,H) => r2_tarski(k1_funct_1(H,k1_xboole_0),k1_funct_1(u3_msualg_1(A,B),k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k5_msaterm(A,B,C,E,F)))) ) ) ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_msaterm(F,A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E)) => ( ! [I] : ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( r2_tarski(I,k10_xtuple_0(F)) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finset_1(J) & v3_trees_2(J) ) => ( r1_msaterm(A,B,C,I,D,J) => r2_tarski(k1_funct_1(J,k1_xboole_0),k1_funct_1(u3_msualg_1(A,B),k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),I))) ) ) ) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finset_1(K) & v3_trees_2(K) ) => ( r1_msaterm(A,B,C,k6_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E),F),D,K) => r2_tarski(k1_funct_1(K,k1_xboole_0),k1_funct_1(u3_msualg_1(A,B),k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k6_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),k2_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E),F)))) ) ) ) ) ) ) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finset_1(L) & v3_trees_2(L) ) => ( r1_msaterm(A,B,C,E,D,L) => r2_tarski(k1_funct_1(L,k1_xboole_0),k1_funct_1(u3_msualg_1(A,B),k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E))) ) ) ) ) ) )).
fof(s3_nat_4__e17_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( D = a_2_7_nat_4(B,C) & r2_tarski(k1_newton(A,k11_nat_3(C,A)),D) ) => k11_nat_3(k2_wsierp_1(k14_finseq_1(D)),A) = k11_nat_3(C,A) ) ) ) ) )).
fof(s3_nat_4__e19_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( D = a_2_9_nat_4(B,C) & r2_tarski(k1_newton(A,k11_nat_3(C,A)),D) ) => k11_nat_3(k2_wsierp_1(k14_finseq_1(D)),A) = k11_nat_3(C,A) ) ) ) ) )).
fof(s3_nat_4__e21_69__nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( D = a_2_8_nat_4(B,C) & r2_tarski(k1_newton(A,k11_nat_3(C,A)),D) ) => k11_nat_3(k2_wsierp_1(k14_finseq_1(D)),A) = k11_nat_3(C,A) ) ) ) ) )).
fof(s3_ordinal2__e10_25_2__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k10_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e10_45_2__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k11_ordinal2(D,A) ) ) ) ) )).
fof(s3_ordinal2__e1_62_1_2__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k10_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e1_74__ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = 1 & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,1) => k1_funct_1(B,C) = A ) ) ) ) )).
fof(s3_ordinal2__e1_76__card_2,axiom,( ? [A] : ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) & k9_xtuple_0(A) = k4_ordinal1 & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k4_ordinal1) => k1_funct_1(A,B) = k10_ordinal2(1,B) ) ) ) )).
fof(s3_ordinal2__e27_57__ordinal5,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal5(A) ) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k4_ordinal1) => k1_funct_1(B,C) = k1_ordinal5(A,C) ) ) ) ) )).
fof(s3_ordinal2__e2_15_1__card_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_card_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & k9_xtuple_0(D) = k5_ordinal3(A,k2_wellord2(k1_wellord2(k7_relat_1(B,C)))) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k5_ordinal3(A,k2_wellord2(k1_wellord2(k7_relat_1(B,C))))) => k1_funct_1(D,E) = k1_xboole_0 ) ) ) ) )).
fof(s3_ordinal2__e2_19__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e2_32_2__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k1_ordinal5(A,D) ) ) ) ) )).
fof(s3_ordinal2__e2_40__ordinal5,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k4_ordinal1) => k1_funct_1(B,C) = k1_ordinal5(A,C) ) ) ) ) )).
fof(s3_ordinal2__e2_41__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k4_ordinal1) => k1_funct_1(B,C) = k1_ordinal5(A,C) ) ) ) ) )).
fof(s3_ordinal2__e2_42_1_2__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k4_ordinal1) => k1_funct_1(B,C) = k1_ordinal5(A,C) ) ) ) ) )).
fof(s3_ordinal2__e2_65__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_ordinal5(C) ) ) ) ) )).
fof(s3_ordinal2__e3_17_1_2_2__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e3_26_2__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k1_ordinal5(1,C) ) ) ) ) )).
fof(s3_ordinal2__e3_30_1_2_3__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k1_ordinal5(A,D) ) ) ) ) )).
fof(s3_ordinal2__e3_39_1__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = A & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k11_ordinal2(D,B) ) ) ) ) )).
fof(s3_ordinal2__e3_40__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = A & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k11_ordinal2(D,B) ) ) ) ) )).
fof(s3_ordinal2__e3_43_2__ordinal5,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = k10_ordinal2(k4_ordinal1,B) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,k10_ordinal2(k4_ordinal1,B)) => k1_funct_1(C,D) = k1_ordinal5(A,D) ) ) ) ) )).
fof(s3_ordinal2__e3_49_2_1__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k11_ordinal2(D,A) ) ) ) ) )).
fof(s3_ordinal2__e3_60_1__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k10_ordinal2(k5_ordinal1,C) ) ) ) ) )).
fof(s3_ordinal2__e3_62_2__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_ordinal5(C) ) ) ) ) )).
fof(s3_ordinal2__e3_64_1_2__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k10_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e3_69_2_1__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k11_ordinal2(C,k1_ordinal1(k5_ordinal1)) ) ) ) ) )).
fof(s3_ordinal2__e3_70_1_2__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k11_ordinal2(D,A) ) ) ) ) )).
fof(s3_ordinal2__e3_72_1_1_2__ordinal2,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k11_ordinal2(D,A) ) ) ) ) )).
fof(s3_ordinal2__e4_28_2__ordinal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & k9_xtuple_0(D) = C & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k10_ordinal2(k10_ordinal2(A,B),E) ) ) ) ) )).
fof(s3_ordinal2__e4_32_1__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e4_36_2__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e4_38_2__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e4_39_2__ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & k9_xtuple_0(D) = C & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k12_ordinal2(k12_ordinal2(B,A),E) ) ) ) ) )).
fof(s3_ordinal2__e4_40_2__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e4_42_1_2__ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = k1_ordinal5(A,k4_ordinal1) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k1_ordinal5(A,k4_ordinal1)) => k1_funct_1(B,C) = k12_ordinal2(A,C) ) ) ) ) )).
fof(s3_ordinal2__e4_45_2__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k10_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e4_68_2__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k11_ordinal2(C,k5_ordinal1) ) ) ) ) )).
fof(s3_ordinal2__e4_74_2__card_2,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k11_ordinal2(C,2) ) ) ) ) )).
fof(s3_ordinal2__e4_76_3__ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k12_ordinal2(1,C) ) ) ) ) )).
fof(s3_ordinal2__e5_25_2__ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) & k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k12_ordinal2(k1_xboole_0,C) ) ) ) ) )).
fof(s3_ordinal2__e5_27__ordinal3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = A & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k10_ordinal2(B,D) ) ) ) ) )).
fof(s3_ordinal2__e6_28_2__ordinal3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & k9_xtuple_0(D) = k10_ordinal2(B,C) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k10_ordinal2(B,C)) => k1_funct_1(D,E) = k10_ordinal2(A,E) ) ) ) ) )).
fof(s3_ordinal2__e6_36_2__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e6_38_2__ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & k9_xtuple_0(D) = k10_ordinal2(A,C) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k10_ordinal2(A,C)) => k1_funct_1(D,E) = k12_ordinal2(B,E) ) ) ) ) )).
fof(s3_ordinal2__e6_39_2__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k11_ordinal2(D,A) ) ) ) ) )).
fof(s3_ordinal2__e8_28__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k12_ordinal2(A,D) ) ) ) ) )).
fof(s3_ordinal2__e8_38_2__ordinal4,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) & k9_xtuple_0(C) = A & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k12_ordinal2(B,D) ) ) ) ) )).
fof(s3_ordinal2__e8_39_2__ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) & k9_xtuple_0(D) = k11_ordinal2(C,A) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(E,k11_ordinal2(C,A)) => k1_funct_1(D,E) = k12_ordinal2(B,E) ) ) ) ) )).
fof(s3_partfun1__e2_131_1_1__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ( ! [F] : ( r2_hidden(F,k1_relset_1(A,k2_partfun1(A,k6_numbers,k1_mesfunc2(A,C),D))) => r2_hidden(k10_subset_1(E,k6_numbers),k6_numbers) ) => ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & ! [G] : ( r2_hidden(G,k1_relset_1(A,F)) <=> ( r2_hidden(G,A) & r2_hidden(G,k1_relset_1(A,k2_partfun1(A,k6_numbers,k1_mesfunc2(A,C),D))) ) ) & ! [G] : ( r2_hidden(G,k1_relset_1(A,F)) => k1_funct_1(F,G) = k10_subset_1(E,k6_numbers) ) ) ) ) )).
fof(s3_partfun1__e2_131_2_1__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ( ! [F] : ( r2_hidden(F,k1_relset_1(A,k2_partfun1(A,k6_numbers,k2_mesfunc2(A,C),D))) => r2_hidden(k10_subset_1(E,k6_numbers),k6_numbers) ) => ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & ! [G] : ( r2_hidden(G,k1_relset_1(A,F)) <=> ( r2_hidden(G,A) & r2_hidden(G,k1_relset_1(A,k2_partfun1(A,k6_numbers,k2_mesfunc2(A,C),D))) ) ) & ! [G] : ( r2_hidden(G,k1_relset_1(A,F)) => k1_funct_1(F,G) = k10_subset_1(E,k6_numbers) ) ) ) ) )).
fof(s3_partfun1__e2_43__pdiff_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(1)))) ) => ( ! [C] : ( r2_hidden(C,k1_relset_1(k1_euclid(A),B)) => r2_hidden(k3_funct_2(k1_euclid(1),k1_numbers,k1_pdiff_1(1,1),k7_partfun1(k1_euclid(1),B,C)),k1_numbers) ) => ? [C] : ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) & ! [D] : ( r2_hidden(D,k1_relset_1(k1_euclid(A),C)) <=> ( r2_hidden(D,k1_euclid(A)) & r2_hidden(D,k1_relset_1(k1_euclid(A),B)) ) ) & ! [D] : ( r2_hidden(D,k1_relset_1(k1_euclid(A),C)) => k1_funct_1(C,D) = k3_funct_2(k1_euclid(1),k1_numbers,k1_pdiff_1(1,1),k7_partfun1(k1_euclid(1),B,D)) ) ) ) ) )).
fof(s3_partfun1__e2_65__mesfunc6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_xreal_0(D) ) => ( ! [E] : ( r2_hidden(E,C) => r2_hidden(D,k1_numbers) ) => ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & ! [F] : ( r2_hidden(F,k1_relset_1(A,E)) <=> ( r2_hidden(F,A) & r2_hidden(F,C) ) ) & ! [F] : ( r2_hidden(F,k1_relset_1(A,E)) => k1_funct_1(E,F) = D ) ) ) ) )).
fof(s3_partfun1__e6_48__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & m1_subset_1(D,k6_numbers) ) => ( ! [E] : ( r2_hidden(E,C) => r2_hidden(D,k6_numbers) ) => ? [E] : ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & ! [F] : ( r2_hidden(F,k1_relset_1(A,E)) <=> ( r2_hidden(F,A) & r2_hidden(F,C) ) ) & ! [F] : ( r2_hidden(F,k1_relset_1(A,E)) => k1_funct_1(E,F) = D ) ) ) ) )).
fof(s3_pboole__e10_19__group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & ~ v2_struct_0(D) & l3_algstr_0(D) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( ( F = A => G = E ) & ~ ( F != A & ! [H] : ( ( ~ v2_struct_0(H) & l3_algstr_0(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(H)) => ~ ( H = k1_funct_1(C,F) & G = I ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & ! [G] : ( r2_hidden(G,B) => ( ( G = A => k1_funct_1(F,G) = E ) & ~ ( G != A & ! [J] : ( ( ~ v2_struct_0(J) & l3_algstr_0(J) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(J)) => ~ ( J = k1_funct_1(C,G) & k1_funct_1(F,G) = K ) ) ) ) ) ) ) ) ) )).
fof(s3_pboole__e11_10_1_2__polynom6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v3_ordinal1(B) & m2_subset_1(C,k14_pre_poly(k10_ordinal2(A,B)),k15_pre_poly(k10_ordinal2(A,B))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ! [F] : ( m1_subset_1(F,B) => ( F = D => E = k1_funct_1(C,k10_ordinal2(A,F)) ) ) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & ! [E] : ( r2_hidden(E,B) => ! [G] : ( m1_subset_1(G,B) => ( G = E => k1_funct_1(D,E) = k1_funct_1(C,k10_ordinal2(A,G)) ) ) ) ) ) ) )).
fof(s3_pboole__e13_19__group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & ~ v2_struct_0(D) & l3_algstr_0(D) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( ( F = A => G = E ) & ~ ( F != A & ! [H] : ( ( ~ v2_struct_0(H) & l3_algstr_0(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(H)) => ~ ( H = k1_funct_1(C,F) & G = I ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & ! [G] : ( r2_hidden(G,B) => ( ( G = A => k1_funct_1(F,G) = E ) & ~ ( G != A & ! [J] : ( ( ~ v2_struct_0(J) & l3_algstr_0(J) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(J)) => ~ ( J = k1_funct_1(C,G) & k1_funct_1(F,G) = K ) ) ) ) ) ) ) ) ) )).
fof(s3_pboole__e21_116_4__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m4_yellow_6(B,A) & m1_subset_1(C,u1_struct_0(k12_yellow_6(A,B))) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m2_yellow_6(E,A,D) & ~ v2_struct_0(F) & v4_orders_2(F) & v6_waybel_0(F,A) & v7_waybel_0(F) & v1_yellow_6(F,A) & l1_waybel_0(F,A) ) => ( ! [G] : ~ ( r2_hidden(G,u1_struct_0(F)) & ! [H] : ~ ? [I] : ( m1_subset_1(I,u1_struct_0(E)) & ? [J] : ( ~ v2_struct_0(J) & v4_orders_2(J) & v7_waybel_0(J) & l1_waybel_0(J,A) & G = I & J = H & r2_hidden(k4_tarski(J,C),B) & r1_tarski(k2_relset_1(u1_struct_0(A),u1_waybel_0(A,J)),a_4_2_yellow_6(A,D,E,I)) ) ) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(F)) & v1_funct_1(G) & v1_partfun1(G,u1_struct_0(F)) & ! [H] : ( r2_hidden(H,u1_struct_0(F)) => ? [K] : ( m1_subset_1(K,u1_struct_0(E)) & ? [L] : ( ~ v2_struct_0(L) & v4_orders_2(L) & v7_waybel_0(L) & l1_waybel_0(L,A) & H = K & L = k1_funct_1(G,H) & r2_hidden(k4_tarski(L,C),B) & r1_tarski(k2_relset_1(u1_struct_0(A),u1_waybel_0(A,L)),a_4_2_yellow_6(A,D,E,K)) ) ) ) ) ) ) )).
fof(s3_pboole__e2_14__msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(C) & m3_pboole(C,A,B) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ? [F] : ( m1_subset_1(F,k1_funct_1(B,D)) & E = k2_xboole_0(k1_tarski(F),k1_funct_1(C,D)) ) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( r2_hidden(E,A) => ? [G] : ( m1_subset_1(G,k1_funct_1(B,E)) & k1_funct_1(D,E) = k2_xboole_0(k1_tarski(G),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(s3_pboole__e2_19__msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_funct_1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_funct_1(B,C)))) & D = E & k2_relset_1(k1_funct_1(B,C),E) = k1_funct_1(B,C) ) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_funct_1(B,D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_funct_1(B,D)))) & k1_funct_1(C,D) = F & k2_relset_1(k1_funct_1(B,D),F) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(s3_pboole__e2_22_1__group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & v2_group_7(C,B) & ~ v2_struct_0(D) & v2_group_1(D) & l3_algstr_0(D) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( ( F = A => G = E ) & ~ ( F != A & ! [H] : ( ( ~ v2_struct_0(H) & v2_group_1(H) & l3_algstr_0(H) ) => ~ ( H = k1_funct_1(C,F) & G = k1_group_1(H) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & ! [G] : ( r2_hidden(G,B) => ( ( G = A => k1_funct_1(F,G) = E ) & ~ ( G != A & ! [I] : ( ( ~ v2_struct_0(I) & v2_group_1(I) & l3_algstr_0(I) ) => ~ ( I = k1_funct_1(C,G) & k1_funct_1(F,G) = k1_group_1(I) ) ) ) ) ) ) ) ) )).
fof(s3_pboole__e3_31_1__mboolean,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ? [F] : ( F = E & r2_tarski(k1_funct_1(B,D),F) & r2_hidden(E,k1_funct_1(C,D)) ) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( r2_hidden(E,A) => ? [G] : ( G = k1_funct_1(D,E) & r2_tarski(k1_funct_1(B,E),G) & r2_hidden(k1_funct_1(D,E),k1_funct_1(C,E)) ) ) ) ) ) )).
fof(s3_pboole__e3_33__pencil_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ! [F] : ( m1_subset_1(F,A) => ( F = D => E = k4_pencil_3(A,B,C,F) ) ) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( r2_hidden(E,A) => ! [G] : ( m1_subset_1(G,A) => ( G = E => k1_funct_1(D,E) = k4_pencil_3(A,B,C,G) ) ) ) ) ) ) )).
fof(s3_pboole__e3_44__mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ? [E] : ( E = D & r2_hidden(D,k1_funct_1(B,C)) & ! [F] : ( r2_tarski(F,k1_funct_1(B,C)) => r1_tarski(E,F) ) ) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => ? [G] : ( G = k1_funct_1(C,D) & r2_hidden(k1_funct_1(C,D),k1_funct_1(B,D)) & ! [H] : ( r2_tarski(H,k1_funct_1(B,D)) => r1_tarski(G,H) ) ) ) ) ) ) )).
fof(s3_pboole__e3_45__mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ? [E] : ( E = D & r2_hidden(D,k1_funct_1(B,C)) & ! [F] : ( r2_tarski(F,k1_funct_1(B,C)) => r1_tarski(F,E) ) ) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => ? [G] : ( G = k1_funct_1(C,D) & r2_hidden(k1_funct_1(C,D),k1_funct_1(B,D)) & ! [H] : ( r2_tarski(H,k1_funct_1(B,D)) => r1_tarski(H,G) ) ) ) ) ) ) )).
fof(s3_pboole__e4_3__topalg_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ! [C] : ~ ( r2_hidden(C,u1_struct_0(k4_topmetr(A,B))) & ! [D] : ~ ? [E] : ( m1_subset_1(E,u1_struct_0(k4_topmetr(A,B))) & ? [F] : ( m1_subset_1(F,u1_struct_0(k2_topmetr(A,B))) & ? [G] : ( v1_yellow_8(G,k4_topmetr(A,B),E) & v1_tops_2(G,k4_topmetr(A,B)) & m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) & C = E & E = F & D = G & G = a_3_0_topalg_5(A,B,F) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k4_topmetr(A,B))) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(k4_topmetr(A,B))) & ! [D] : ( r2_hidden(D,u1_struct_0(k4_topmetr(A,B))) => ? [H] : ( m1_subset_1(H,u1_struct_0(k4_topmetr(A,B))) & ? [I] : ( m1_subset_1(I,u1_struct_0(k2_topmetr(A,B))) & ? [J] : ( v1_yellow_8(J,k4_topmetr(A,B),H) & v1_tops_2(J,k4_topmetr(A,B)) & m1_subset_1(J,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B))))) & D = H & H = I & k1_funct_1(C,D) = J & J = a_3_0_topalg_5(A,B,I) ) ) ) ) ) ) ) )).
fof(s3_pboole__e4_42__mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ~ ? [G] : ? [H] : ( G = F & v1_finset_1(G) & r1_tarski(G,k1_funct_1(C,E)) & v1_finset_1(H) & r1_tarski(H,k1_funct_1(D,E)) & r1_tarski(k1_funct_1(B,E),k2_zfmisc_1(G,H)) ) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( r2_hidden(F,A) => ? [I] : ? [J] : ( I = k1_funct_1(E,F) & v1_finset_1(I) & r1_tarski(I,k1_funct_1(C,F)) & v1_finset_1(J) & r1_tarski(J,k1_funct_1(D,F)) & r1_tarski(k1_funct_1(B,F),k2_zfmisc_1(I,J)) ) ) ) ) ) )).
fof(s3_pboole__e4_43__mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ~ ? [G] : ( G = F & v1_finset_1(G) & r1_tarski(G,k1_funct_1(C,E)) & r1_tarski(k1_funct_1(B,E),k2_zfmisc_1(G,k1_funct_1(D,E))) ) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( r2_hidden(F,A) => ? [H] : ( H = k1_funct_1(E,F) & v1_finset_1(H) & r1_tarski(H,k1_funct_1(C,F)) & r1_tarski(k1_funct_1(B,F),k2_zfmisc_1(H,k1_funct_1(D,F))) ) ) ) ) ) )).
fof(s3_pboole__e4_46__mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ? [F] : ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & F = E & G = k1_funct_1(B,D) & r1_tarski(F,k1_funct_1(k1_funct_6(B),D)) & v1_finset_1(F) & k7_relat_1(G,F) = k1_funct_1(C,D) ) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( r2_hidden(E,A) => ? [H] : ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & H = k1_funct_1(D,E) & I = k1_funct_1(B,E) & r1_tarski(H,k1_funct_1(k1_funct_6(B),E)) & v1_finset_1(H) & k7_relat_1(I,H) = k1_funct_1(C,E) ) ) ) ) ) )).
fof(s3_pboole__e5_19__group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & ~ v2_struct_0(D) & l3_algstr_0(D) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( ( F = A => G = E ) & ~ ( F != A & ! [H] : ( ( ~ v2_struct_0(H) & l3_algstr_0(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(H)) => ~ ( H = k1_funct_1(C,F) & G = I ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & ! [G] : ( r2_hidden(G,B) => ( ( G = A => k1_funct_1(F,G) = E ) & ~ ( G != A & ! [J] : ( ( ~ v2_struct_0(J) & l3_algstr_0(J) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(J)) => ~ ( J = k1_funct_1(C,G) & k1_funct_1(F,G) = K ) ) ) ) ) ) ) ) ) )).
fof(s3_pboole__e5_20__group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & ~ v2_struct_0(D) & l3_algstr_0(D) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( ( F = A => G = E ) & ~ ( F != A & ! [H] : ( ( ~ v2_struct_0(H) & l3_algstr_0(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(H)) => ~ ( H = k1_funct_1(C,F) & G = I ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & ! [G] : ( r2_hidden(G,B) => ( ( G = A => k1_funct_1(F,G) = E ) & ~ ( G != A & ! [J] : ( ( ~ v2_struct_0(J) & l3_algstr_0(J) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(J)) => ~ ( J = k1_funct_1(C,G) & k1_funct_1(F,G) = K ) ) ) ) ) ) ) ) ) )).
fof(s3_pboole__e5_48__functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) & m2_functor2(E,A,B,C,D) ) => ( ! [F] : ~ ( r2_hidden(F,u1_struct_0(A)) & ! [G] : ~ ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & H = F & G = k1_altcat_3(B,k3_functor0(A,B,C,H),k3_functor0(A,B,D,H),k2_functor2(A,B,C,D,E,H)) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(A)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(A)) & ! [G] : ( r2_hidden(G,u1_struct_0(A)) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & I = G & k1_funct_1(F,G) = k1_altcat_3(B,k3_functor0(A,B,C,I),k3_functor0(A,B,D,I),k2_functor2(A,B,C,D,E,I)) ) ) ) ) ) )).
fof(s3_pboole__e6_38_4_1_1__pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,A) & ! [E] : ~ ? [F] : ( m2_subset_1(F,k1_zfmisc_1(A),k8_eqrel_1(A,B)) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & r2_hidden(D,F) & G = k1_funct_1(C,F) & E = k1_funct_1(G,D) ) ) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( r2_hidden(E,A) => ? [H] : ( m2_subset_1(H,k1_zfmisc_1(A),k8_eqrel_1(A,B)) & ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & r2_hidden(E,H) & I = k1_funct_1(C,H) & k1_funct_1(D,E) = k1_funct_1(I,E) ) ) ) ) ) ) )).
fof(s3_pboole__e7_42__mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ! [F] : ~ ( r2_hidden(F,A) & ! [G] : ~ ? [H] : ( H = G & v1_finset_1(k1_funct_1(E,F)) & r1_tarski(k1_funct_1(E,F),k1_funct_1(C,F)) & v1_finset_1(H) & r1_tarski(H,k1_funct_1(D,F)) & r1_tarski(k1_funct_1(B,F),k2_zfmisc_1(k1_funct_1(E,F),H)) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & ! [G] : ( r2_hidden(G,A) => ? [I] : ( I = k1_funct_1(F,G) & v1_finset_1(k1_funct_1(E,G)) & r1_tarski(k1_funct_1(E,G),k1_funct_1(C,G)) & v1_finset_1(I) & r1_tarski(I,k1_funct_1(D,G)) & r1_tarski(k1_funct_1(B,G),k2_zfmisc_1(k1_funct_1(E,G),I)) ) ) ) ) ) )).
fof(s3_pboole__e8_16__borsuk_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) & v3_pre_topc(C,k2_borsuk_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ! [F] : ~ ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) & F = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(B)),G,H) & r2_hidden(k4_tarski(D,E),k3_borsuk_1(A,B,G,H)) & v3_pre_topc(G,A) & v3_pre_topc(H,B) & r1_tarski(k3_borsuk_1(A,B,G,H),C) ) ) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(B)) & ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(B))) & k1_funct_1(E,F) = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(B)),I,J) & r2_hidden(k4_tarski(D,F),k3_borsuk_1(A,B,I,J)) & v3_pre_topc(I,A) & v3_pre_topc(J,B) & r1_tarski(k3_borsuk_1(A,B,I,J),C) ) ) ) ) ) ) )).
fof(s3_pboole__e8_18__group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & ~ v2_struct_0(D) & l3_algstr_0(D) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( ( F = A => G = E ) & ~ ( F != A & ! [H] : ( ( ~ v2_struct_0(H) & l3_algstr_0(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(H)) => ~ ( H = k1_funct_1(C,F) & G = I ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & ! [G] : ( r2_hidden(G,B) => ( ( G = A => k1_funct_1(F,G) = E ) & ~ ( G != A & ! [J] : ( ( ~ v2_struct_0(J) & l3_algstr_0(J) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(J)) => ~ ( J = k1_funct_1(C,G) & k1_funct_1(F,G) = K ) ) ) ) ) ) ) ) ) )).
fof(s3_pboole__e8_20__group_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v1_group_7(C) & ~ v2_struct_0(D) & l3_algstr_0(D) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( ( F = A => G = E ) & ~ ( F != A & ! [H] : ( ( ~ v2_struct_0(H) & l3_algstr_0(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(H)) => ~ ( H = k1_funct_1(C,F) & G = I ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & ! [G] : ( r2_hidden(G,B) => ( ( G = A => k1_funct_1(F,G) = E ) & ~ ( G != A & ! [J] : ( ( ~ v2_struct_0(J) & l3_algstr_0(J) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(J)) => ~ ( J = k1_funct_1(C,G) & k1_funct_1(F,G) = K ) ) ) ) ) ) ) ) ) )).
fof(s3_pboole__e9_33_4__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(C) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ? [G] : ( m1_msualg_2(G,A,B) & ? [H] : ( E = G & r2_tarski(H,k1_funct_1(u3_msualg_1(A,G),D)) & F = H ) ) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) & ! [F] : ( r2_hidden(F,C) => ? [I] : ( m1_msualg_2(I,A,B) & ? [J] : ( F = I & r2_tarski(J,k1_funct_1(u3_msualg_1(A,I),D)) & k1_funct_1(E,F) = J ) ) ) ) ) ) )).
fof(s3_pcomps_2__e14_24__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_relat_1(D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & k3_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B))),F,k5_numbers) = E & ! [G] : ( v7_ordinal1(G) => k3_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B))),F,k1_nat_1(G,1)) = a_6_8_nagata_2(A,B,C,D,F,G) ) ) ) )).
fof(s3_pcomps_2__e16_11__pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_relat_1(C) & ~ v2_struct_0(D) & v6_metric_1(D) & v7_metric_1(D) & v8_metric_1(D) & v9_metric_1(D) & l1_metric_1(D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(D)))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(D)))))) & k3_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(D))),F,k5_numbers) = E & ! [G] : ( v7_ordinal1(G) => k3_funct_2(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(D))),F,k1_nat_1(G,1)) = a_6_0_pcomps_2(A,B,C,D,F,G) ) ) ) )).
fof(s3_qc_lang3__e1_11_1__qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ( C = k24_qc_lang1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & C = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,B) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k3_qc_lang1(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( E = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k23_qc_lang1(A,k17_qc_lang1(A,E)) ) & ( ( v3_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k18_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = F ) & ( ( v4_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k19_qc_lang1(A,E)) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k20_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k4_subset_1(k3_qc_lang1(A),F,G) ) & ( ( v5_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k22_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k7_subset_1(k3_qc_lang1(A),F,k1_tarski(k21_qc_lang1(A,E))) ) ) ) ) ) ) ) ) ) => k24_qc_lang1(A,k12_qc_lang1(A)) = k1_subset_1(k3_qc_lang1(A)) ) ) )).
fof(s3_qc_lang3__e1_15_1__substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ( C = k9_substut1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & C = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,B) & ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k3_qc_lang1(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( E = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(E,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k8_substut1(A,k17_qc_lang1(A,E)) ) & ( ( v3_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k18_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = F ) & ( ( v4_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k19_qc_lang1(A,E)) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k20_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k4_subset_1(k3_qc_lang1(A),F,G) ) & ( ( v5_qc_lang1(E,A) & F = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,k22_qc_lang1(A,E)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),D,E) = k4_subset_1(k3_qc_lang1(A),F,k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,E))) ) ) ) ) ) ) ) ) ) => k9_substut1(A,k12_qc_lang1(A)) = k1_subset_1(k3_qc_lang1(A)) ) ) )).
fof(s3_qc_lang3__e1_44_1__qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) ) => ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ( D = k4_qc_lang3(A,B,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(B)))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(B)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(B)) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = k1_subset_1(B) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = k1_qc_lang3(A,k17_qc_lang1(A,F),B) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = k4_subset_1(B,G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),E,F) = G ) ) ) ) ) ) ) ) ) => k4_qc_lang3(A,B,k12_qc_lang1(A)) = k1_subset_1(B) ) ) )).
fof(s3_quantal1__e2_20_1__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => k15_lattice3(A,a_3_14_quantal1(A,B,C)) = k15_lattice3(A,a_3_3_quantal1(A,B,C)) ) )).
fof(s3_recdef_2__e10_12_1_1__ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(D) & v1_funct_2(D,k3_group_10(C,k1_nat_1(A,1)),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(C,k1_nat_1(A,1)),B))) & ~ v1_xboole_0(E) & m1_subset_1(F,E) ) => ( ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,E) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ? [J] : ( m1_subset_1(J,E) & ? [K] : ( m1_subset_1(K,k4_ordinal1) & ! [L] : ( m1_subset_1(L,E) => ! [M] : ( m1_subset_1(M,E) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => ! [O] : ( m1_subset_1(O,k4_ordinal1) => ( ( H = L & I = N & J = M & K = O ) => ( ~ ( r2_tarski(N,L) & ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k3_group_10(k6_subset_1(L,k1_tarski(N)),A),B) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(k6_subset_1(L,k1_tarski(N)),A),B))) ) => ! [Q] : ( m1_subset_1(Q,k1_zfmisc_1(k6_subset_1(L,k1_tarski(N)))) => ~ ( ~ v1_finset_1(Q) & v3_funct_1(k2_partfun1(k3_group_10(k6_subset_1(L,k1_tarski(N)),A),B,P,k3_group_10(Q,A))) & M = Q & r2_tarski(O,Q) & ~ r1_xxreal_0(O,N) & ! [R] : ( m1_subset_1(R,k3_group_10(k6_subset_1(L,k1_tarski(N)),A)) => k1_funct_1(P,R) = k1_funct_1(D,k2_xboole_0(R,k1_tarski(N))) ) & ! [R] : ( m1_subset_1(R,k4_ordinal1) => ( r2_tarski(R,Q) => ( r1_xxreal_0(R,N) | r1_xxreal_0(O,R) ) ) ) ) ) ) ) & ( ~ r2_tarski(N,L) => ( M = C & O = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,E))) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k4_ordinal1) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k3_funct_2(k4_ordinal1,E,G,k5_numbers) = F & k3_funct_2(k4_ordinal1,k4_ordinal1,H,k5_numbers) = k3_nat_1(C) & ! [I] : ( v7_ordinal1(I) => ! [S] : ( m1_subset_1(S,E) => ! [T] : ( m1_subset_1(T,E) => ! [U] : ( m1_subset_1(U,k4_ordinal1) => ! [V] : ( m1_subset_1(V,k4_ordinal1) => ( ( k1_funct_1(G,I) = S & k1_funct_1(H,I) = U & k3_funct_2(k4_ordinal1,E,G,k1_nat_1(I,1)) = T & k3_funct_2(k4_ordinal1,k4_ordinal1,H,k1_nat_1(I,1)) = V ) => ( ~ ( r2_tarski(U,S) & ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,k3_group_10(k6_subset_1(S,k1_tarski(U)),A),B) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(k6_subset_1(S,k1_tarski(U)),A),B))) ) => ! [X] : ( m1_subset_1(X,k1_zfmisc_1(k6_subset_1(S,k1_tarski(U)))) => ~ ( ~ v1_finset_1(X) & v3_funct_1(k2_partfun1(k3_group_10(k6_subset_1(S,k1_tarski(U)),A),B,W,k3_group_10(X,A))) & T = X & r2_tarski(V,X) & ~ r1_xxreal_0(V,U) & ! [Y] : ( m1_subset_1(Y,k3_group_10(k6_subset_1(S,k1_tarski(U)),A)) => k1_funct_1(W,Y) = k1_funct_1(D,k2_xboole_0(Y,k1_tarski(U))) ) & ! [Y] : ( m1_subset_1(Y,k4_ordinal1) => ( r2_tarski(Y,X) => ( r1_xxreal_0(Y,U) | r1_xxreal_0(V,Y) ) ) ) ) ) ) ) & ( ~ r2_tarski(U,S) => ( T = C & V = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s3_recdef_2__e2_2__ntalgo_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & ? [G] : ( m1_subset_1(G,k4_ordinal1) & F = E & G = k4_nat_d(D,E) ) ) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & k3_funct_2(k4_ordinal1,k4_ordinal1,C,k5_numbers) = k1_int_2(A) & k3_funct_2(k4_ordinal1,k4_ordinal1,D,k5_numbers) = k1_int_2(B) & ! [E] : ( v7_ordinal1(E) => ( k3_funct_2(k4_ordinal1,k4_ordinal1,C,k1_nat_1(E,1)) = k1_funct_1(D,E) & k3_funct_2(k4_ordinal1,k4_ordinal1,D,k1_nat_1(E,1)) = k4_nat_d(k1_funct_1(C,E),k1_funct_1(D,E)) ) ) ) ) ) ) )).
fof(s3_recdef_2__e2_85__descip_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) & m2_finseq_2(D,k4_finseq_2(A,k5_margrel1),k4_finseq_2(C,k4_finseq_2(A,k5_margrel1))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k4_finseq_2(B,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(B,k5_margrel1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,k5_margrel1),k4_finseq_2(A,k5_margrel1)),k4_finseq_2(B,k5_margrel1)))) & v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1)) & v3_funct_2(F,k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1)))) & m2_finseq_2(G,k5_margrel1,k4_finseq_2(k2_nat_1(2,B),k5_margrel1)) ) => ( ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,k4_finseq_2(B,k5_margrel1)) => ! [J] : ( m1_subset_1(J,k4_finseq_2(B,k5_margrel1)) => ? [K] : ( m1_subset_1(K,k4_finseq_2(B,k5_margrel1)) & ? [L] : ( m1_subset_1(L,k4_finseq_2(B,k5_margrel1)) & K = J & L = k11_descip_1(B,I,k2_binop_1(k4_finseq_2(B,k5_margrel1),k4_finseq_2(A,k5_margrel1),k4_finseq_2(B,k5_margrel1),E,J,k7_partfun1(k4_finseq_2(A,k5_margrel1),D,k1_nat_1(H,1)))) ) ) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k4_finseq_2(B,k5_margrel1)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_finseq_2(B,k5_margrel1)))) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,k4_finseq_2(B,k5_margrel1)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_finseq_2(B,k5_margrel1)))) & k3_funct_2(k4_ordinal1,k4_finseq_2(B,k5_margrel1),H,k5_numbers) = k4_descip_1(k5_margrel1,B,k3_funct_2(k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1),F,G)) & k3_funct_2(k4_ordinal1,k4_finseq_2(B,k5_margrel1),I,k5_numbers) = k5_descip_1(k5_margrel1,B,k3_funct_2(k4_finseq_2(k2_nat_1(2,B),k5_margrel1),k4_finseq_2(k2_nat_1(2,B),k5_margrel1),F,G)) & ! [J] : ( v7_ordinal1(J) => ( k3_funct_2(k4_ordinal1,k4_finseq_2(B,k5_margrel1),H,k1_nat_1(J,1)) = k1_funct_1(I,J) & k3_funct_2(k4_ordinal1,k4_finseq_2(B,k5_margrel1),I,k1_nat_1(J,1)) = k11_descip_1(B,k1_funct_1(H,J),k2_binop_1(k4_finseq_2(B,k5_margrel1),k4_finseq_2(A,k5_margrel1),k4_finseq_2(B,k5_margrel1),E,k1_funct_1(I,J),k7_partfun1(k4_finseq_2(A,k5_margrel1),D,k1_nat_1(J,1)))) ) ) ) ) ) ) )).
fof(s3_relset_1__e2_112__funct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k9_setfam_1(A)))) ) => ( ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k2_subset_1(A)) => r1_tarski(k1_funct_1(B,C),k2_subset_1(A)) ) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_subset_1(A),k2_subset_1(A)))) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k2_subset_1(A)) => k9_relat_1(C,D) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(s3_scmpds_8__e19_13__scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & m1_subset_1(G,k4_ordinal1) & m1_subset_1(H,k4_ordinal1) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(J,k1_scmp_gcd(H))) & ? [K] : ( m1_subset_1(K,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(J,k1_scmp_gcd(H)),K) & k1_funct_1(J,E) = k1_pre_ff(K) & k1_funct_1(J,F) = k1_pre_ff(k1_nat_1(K,1)) ) & k1_recdef_1(I,J) = k5_numbers ) => r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),H)),k5_numbers) ) ) & r1_xxreal_0(k5_numbers,k1_funct_1(B,k1_scmp_gcd(H))) & ? [L] : ( m1_subset_1(L,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(H)),L) & k1_funct_1(B,E) = k1_pre_ff(L) & k1_funct_1(B,F) = k1_pre_ff(k1_nat_1(L,1)) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(J,k1_scmp_gcd(H))) & ? [N] : ( m1_subset_1(N,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(J,k1_scmp_gcd(H)),N) & k1_funct_1(J,E) = k1_pre_ff(N) & k1_funct_1(J,F) = k1_pre_ff(k1_nat_1(N,1)) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),H)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & r1_xxreal_0(k5_numbers,k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),k1_scmp_gcd(H))) & ? [O] : ( m1_subset_1(O,k4_ordinal1) & G = k2_xcmplx_0(k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),k1_scmp_gcd(H)),O) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),E) = k1_pre_ff(O) & k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),F) = k1_pre_ff(k1_nat_1(O,1)) ) ) ) ) ) ) ) => ( r1_scmpds_6(k2_scmpds_8(D,H,C),B,A) & r2_scmpds_6(k2_scmpds_8(D,H,C),B,A) ) ) ) )).
fof(s3_scmpds_8__e8_41__scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_int_1(E) & v1_int_1(F) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(K,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(J,K)) ) ) & ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(K,H) => k1_funct_1(J,K) = k1_funct_1(B,K) ) ) & k1_recdef_1(I,J) = k5_numbers ) => r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(B,L)) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,H) => k1_funct_1(B,L) = k1_funct_1(B,L) ) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( ! [N] : ( ( v1_ami_2(N) & m1_subset_1(N,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(N,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(J,N)) ) ) & ! [N] : ( ( v1_ami_2(N) & m1_subset_1(N,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(N,H) => k1_funct_1(J,N) = k1_funct_1(B,N) ) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & ! [O] : ( ( v1_ami_2(O) & m1_subset_1(O,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(O,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),O)) ) ) & ! [O] : ( ( v1_ami_2(O) & m1_subset_1(O,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(O,H) => k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),O) = k1_funct_1(B,O) ) ) ) ) ) ) ) ) => ( r1_scmpds_6(k2_scmpds_8(D,E,C),B,A) & r2_scmpds_6(k2_scmpds_8(D,E,C),B,A) ) ) ) )).
fof(s3_scmpds_8__e8_9__scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_int_1(G) & v1_int_1(H) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ? [K] : ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & K = J & r1_xxreal_0(H,k1_funct_1(K,E)) & k1_funct_1(K,F) = k1_funct_1(B,F) ) & k1_recdef_1(I,J) = k5_numbers ) => r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) ) ) & ? [L] : ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) & L = B & r1_xxreal_0(H,k1_funct_1(L,E)) & k1_funct_1(L,F) = k1_funct_1(B,F) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = J & r1_xxreal_0(H,k1_funct_1(N,E)) & k1_funct_1(N,F) = k1_funct_1(B,F) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & ? [O] : ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & O = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)) & r1_xxreal_0(H,k1_funct_1(O,E)) & k1_funct_1(O,F) = k1_funct_1(B,F) ) ) ) ) ) ) ) => ( r1_scmpds_6(k2_scmpds_8(D,G,C),B,A) & r2_scmpds_6(k2_scmpds_8(D,G,C),B,A) ) ) ) )).
fof(s3_scmpds_8__e9_10__scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmpds_2)) & v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmpds_2)) & v1_int_1(I) & v1_int_1(J) & v1_int_1(K) & v1_funct_1(L) & v1_funct_2(L,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(M,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = M & k1_funct_1(N,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(N,G),J),k1_funct_1(N,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(N,G),J)) & k1_funct_1(N,F) = k1_funct_1(B,F) ) & k1_recdef_1(L,M) = k5_numbers ) => r1_xxreal_0(k1_funct_1(M,k2_scmpds_2(k1_funct_1(B,D),I)),k5_numbers) ) ) & ? [O] : ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & O = B & k1_funct_1(O,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(O,G),J),k1_funct_1(O,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(O,G),J)) & k1_funct_1(O,F) = k1_funct_1(B,F) ) & ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(M,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,k4_ordinal1) & v5_relat_1(P,u1_compos_1(k1_scmpds_2)) & v1_funct_1(P) & v1_partfun1(P,k4_ordinal1) ) => ( ( ? [Q] : ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_scmpds_2)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(Q,u1_struct_0(k1_scmpds_2)) & Q = M & k1_funct_1(Q,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(Q,G),J),k1_funct_1(Q,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(Q,G),J)) & k1_funct_1(Q,F) = k1_funct_1(B,F) ) & k1_funct_1(M,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(M,k2_scmpds_2(k1_funct_1(B,D),I)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,M,P),D) = k1_funct_1(M,D) & r1_scmpds_6(C,M,P) & r2_scmpds_6(C,M,P) & ~ r1_xxreal_0(k1_recdef_1(L,M),k1_recdef_1(L,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,M,P)))) & ? [R] : ( v1_relat_1(R) & v4_relat_1(R,u1_struct_0(k1_scmpds_2)) & v1_funct_1(R) & v5_funct_1(R,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(R,u1_struct_0(k1_scmpds_2)) & R = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,M,P)) & k1_funct_1(R,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(R,G),J),k1_funct_1(R,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(R,G),J)) & k1_funct_1(R,F) = k1_funct_1(B,F) ) ) ) ) ) ) ) => ( r1_scmpds_6(k2_scmpds_8(D,I,C),B,A) & r2_scmpds_6(k2_scmpds_8(D,I,C),B,A) ) ) ) )).
fof(s3_scpinvar__e12_35__scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_int_1(G) & v1_int_1(H) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ? [K] : ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & K = J & ~ r1_xxreal_0(k1_funct_1(K,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(K,F),k5_numbers) & k1_funct_1(K,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(K,E),k1_funct_1(K,F)) ) & k1_recdef_1(I,J) = k5_numbers ) => k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)) = k5_numbers ) ) & ? [L] : ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) & L = B & ~ r1_xxreal_0(k1_funct_1(L,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(L,F),k5_numbers) & k1_funct_1(L,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(L,E),k1_funct_1(L,F)) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = J & ~ r1_xxreal_0(k1_funct_1(N,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(N,F),k5_numbers) & k1_funct_1(N,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(N,E),k1_funct_1(N,F)) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)) = k5_numbers | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & ? [O] : ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & O = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)) & ~ r1_xxreal_0(k1_funct_1(O,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(O,F),k5_numbers) & k1_funct_1(O,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(O,E),k1_funct_1(O,F)) ) ) ) ) ) ) ) => ( r1_scmpds_6(k3_scpinvar(D,G,C),B,A) & r2_scmpds_6(k3_scpinvar(D,G,C),B,A) ) ) ) )).
fof(s3_seq_1__e1_33__seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) <=> r2_tarski(E,C) ) ) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k1_funct_1(D,E) = k10_subset_1(k1_seq_2(k10_seqfunc(A,B,E)),k1_numbers) ) ) ) ) )).
fof(s3_seq_1__e5_2__entropy1,axiom,( ? [A] : ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ( r2_tarski(B,k1_relset_1(k1_numbers,A)) <=> r2_hidden(B,k1_numbers) ) ) & ! [B] : ( m1_subset_1(B,k1_numbers) => ( r2_tarski(B,k1_relset_1(k1_numbers,A)) => k1_funct_1(A,B) = k10_subset_1(k6_xcmplx_0(B,1),k1_numbers) ) ) ) )).
fof(s3_seq_1__e6_30__ndiff_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,k1_relset_1(k1_numbers,C)) <=> r2_hidden(D,k1_numbers) ) ) & ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,k1_relset_1(k1_numbers,C)) => k1_funct_1(C,D) = k1_rlvect_1(A,B,D) ) ) ) ) )).
fof(s3_seq_1__e6_38__fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) <=> r2_tarski(C,k1_numbers) ) ) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,k1_relset_1(k1_numbers,B)) => k1_funct_1(B,C) = k10_subset_1(k3_xcmplx_0(A,C),k1_numbers) ) ) ) ) )).
fof(s3_seq_1__e7_3__rolle,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [E] : ( m1_subset_1(E,k1_numbers) => ( r2_tarski(E,k1_relset_1(k1_numbers,D)) <=> r2_tarski(E,k1_rcomp_1(A,B)) ) ) & ! [E] : ( m1_subset_1(E,k1_numbers) => ( r2_tarski(E,k1_relset_1(k1_numbers,D)) => k1_funct_1(D,E) = k10_subset_1(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(C,B),k1_funct_1(C,A)),k6_xcmplx_0(B,A)),k6_xcmplx_0(E,A)),k1_numbers) ) ) ) ) )).
fof(s3_setwiseo__e5_34__waybel12,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m1_subset_1(C,B) => ( r2_tarski(k2_yellow_0(A,k2_setwiseo(B,C)),k2_setwiseo(B,C)) & r2_yellow_0(A,k2_setwiseo(B,C)) ) ) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k5_finsub_1(B)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k5_finsub_1(B)) ) => ( ( r2_tarski(k2_yellow_0(A,C),C) & r2_yellow_0(A,C) & r2_tarski(k2_yellow_0(A,D),D) & r2_yellow_0(A,D) ) => ( r2_tarski(k2_yellow_0(A,k5_setwiseo(B,C,D)),k5_setwiseo(B,C,D)) & r2_yellow_0(A,k5_setwiseo(B,C,D)) ) ) ) ) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k5_finsub_1(B)) ) => ( r2_tarski(k2_yellow_0(A,C),C) & r2_yellow_0(A,C) ) ) ) ) )).
fof(s3_setwiseo__e5_35__waybel12,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( m1_subset_1(C,B) => ( r2_tarski(k1_yellow_0(A,k2_setwiseo(B,C)),k2_setwiseo(B,C)) & r1_yellow_0(A,k2_setwiseo(B,C)) ) ) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k5_finsub_1(B)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k5_finsub_1(B)) ) => ( ( r2_tarski(k1_yellow_0(A,C),C) & r1_yellow_0(A,C) & r2_tarski(k1_yellow_0(A,D),D) & r1_yellow_0(A,D) ) => ( r2_tarski(k1_yellow_0(A,k5_setwiseo(B,C,D)),k5_setwiseo(B,C,D)) & r1_yellow_0(A,k5_setwiseo(B,C,D)) ) ) ) ) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k5_finsub_1(B)) ) => ( r2_tarski(k1_yellow_0(A,C),C) & r1_yellow_0(A,C) ) ) ) ) )).
fof(s3_setwiseo__e6_36__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(E,B) ) => ( ( ! [F] : ( m1_subset_1(F,A) => ( ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,k2_setwiseo(A,F)) => k3_funct_2(A,B,D,G) = E ) ) => k7_setwiseo(A,B,C,k2_setwiseo(A,F),D) = E ) ) & ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k5_finsub_1(A)) ) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k5_finsub_1(A)) ) => ( ( ( ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,F) => k3_funct_2(A,B,D,I) = E ) ) => k7_setwiseo(A,B,C,F,D) = E ) & ( ! [J] : ( m1_subset_1(J,A) => ( r2_tarski(J,H) => k3_funct_2(A,B,D,J) = E ) ) => k7_setwiseo(A,B,C,H,D) = E ) ) => ( ! [K] : ( m1_subset_1(K,A) => ( r2_tarski(K,k5_setwiseo(A,F,H)) => k3_funct_2(A,B,D,K) = E ) ) => k7_setwiseo(A,B,C,k5_setwiseo(A,F,H),D) = E ) ) ) ) ) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k5_finsub_1(A)) ) => ( ! [L] : ( m1_subset_1(L,A) => ( r2_tarski(L,F) => k3_funct_2(A,B,D,L) = E ) ) => k7_setwiseo(A,B,C,F,D) = E ) ) ) ) )).
fof(s3_setwiseo__e7_39__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,B) ) => ( ( ! [G] : ( m1_subset_1(G,A) => k4_binop_1(B,D,F,k7_setwiseo(A,B,C,k2_setwiseo(A,G),E)) = k7_setwiseo(A,B,C,k2_setwiseo(A,G),k10_funcop_1(B,A,D,F,E)) ) & ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k5_finsub_1(A)) ) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k5_finsub_1(A)) ) => ( ( k4_binop_1(B,D,F,k7_setwiseo(A,B,C,G,E)) = k7_setwiseo(A,B,C,G,k10_funcop_1(B,A,D,F,E)) & k4_binop_1(B,D,F,k7_setwiseo(A,B,C,H,E)) = k7_setwiseo(A,B,C,H,k10_funcop_1(B,A,D,F,E)) ) => k4_binop_1(B,D,F,k7_setwiseo(A,B,C,k5_setwiseo(A,G,H),E)) = k7_setwiseo(A,B,C,k5_setwiseo(A,G,H),k10_funcop_1(B,A,D,F,E)) ) ) ) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k5_finsub_1(A)) ) => k4_binop_1(B,D,F,k7_setwiseo(A,B,C,G,E)) = k7_setwiseo(A,B,C,G,k10_funcop_1(B,A,D,F,E)) ) ) ) )).
fof(s3_setwiseo__e7_40__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(F,B) ) => ( ( ! [G] : ( m1_subset_1(G,A) => k4_binop_1(B,D,k7_setwiseo(A,B,C,k2_setwiseo(A,G),E),F) = k7_setwiseo(A,B,C,k2_setwiseo(A,G),k9_funcop_1(B,A,D,E,F)) ) & ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k5_finsub_1(A)) ) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k5_finsub_1(A)) ) => ( ( k4_binop_1(B,D,k7_setwiseo(A,B,C,G,E),F) = k7_setwiseo(A,B,C,G,k9_funcop_1(B,A,D,E,F)) & k4_binop_1(B,D,k7_setwiseo(A,B,C,H,E),F) = k7_setwiseo(A,B,C,H,k9_funcop_1(B,A,D,E,F)) ) => k4_binop_1(B,D,k7_setwiseo(A,B,C,k5_setwiseo(A,G,H),E),F) = k7_setwiseo(A,B,C,k5_setwiseo(A,G,H),k9_funcop_1(B,A,D,E,F)) ) ) ) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k5_finsub_1(A)) ) => k4_binop_1(B,D,k7_setwiseo(A,B,C,G,E),F) = k7_setwiseo(A,B,C,G,k9_funcop_1(B,A,D,E,F)) ) ) ) )).
fof(s3_setwiseo__e7_42__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) & v1_funct_1(F) & v1_funct_2(F,C,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( ( ! [G] : ( m1_subset_1(G,B) => k7_setwiseo(C,A,D,k8_setwiseo(B,C,E,k2_setwiseo(B,G)),F) = k7_setwiseo(B,A,D,k2_setwiseo(B,G),k1_partfun1(B,C,C,A,E,F)) ) & ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k5_finsub_1(B)) ) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k5_finsub_1(B)) ) => ( ( k7_setwiseo(C,A,D,k8_setwiseo(B,C,E,G),F) = k7_setwiseo(B,A,D,G,k1_partfun1(B,C,C,A,E,F)) & k7_setwiseo(C,A,D,k8_setwiseo(B,C,E,H),F) = k7_setwiseo(B,A,D,H,k1_partfun1(B,C,C,A,E,F)) ) => k7_setwiseo(C,A,D,k8_setwiseo(B,C,E,k5_setwiseo(B,G,H)),F) = k7_setwiseo(B,A,D,k5_setwiseo(B,G,H),k1_partfun1(B,C,C,A,E,F)) ) ) ) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k5_finsub_1(B)) ) => k7_setwiseo(C,A,D,k8_setwiseo(B,C,E,G),F) = k7_setwiseo(B,A,D,G,k1_partfun1(B,C,C,A,E,F)) ) ) ) )).
fof(s3_stacks_1__e3_38__stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,u4_struct_0(k8_stacks_1(A))) ) => ( ( ! [C] : ( m1_subset_1(C,u4_struct_0(k8_stacks_1(A))) => ( r1_stacks_1(k8_stacks_1(A),C) => k9_stacks_1(k8_stacks_1(A),C) = C ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(k8_stacks_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_stacks_1(A))) => ( k9_stacks_1(k8_stacks_1(A),C) = C => k9_stacks_1(k8_stacks_1(A),k7_stacks_1(k8_stacks_1(A),C,D)) = k7_stacks_1(k8_stacks_1(A),C,D) ) ) ) ) => k9_stacks_1(k8_stacks_1(A),B) = B ) ) )).
fof(s3_stacks_1__e3_68__stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( ( ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( r1_stacks_1(A,D) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( ( r2_tarski(D,k11_stacks_1(A,B)) & r2_tarski(E,k11_stacks_1(A,B)) & k9_stacks_1(A,D) = k9_stacks_1(A,E) ) => D = E ) ) ) ) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ( ( r2_tarski(D,k11_stacks_1(A,B)) & r2_tarski(G,k11_stacks_1(A,B)) & k9_stacks_1(A,D) = k9_stacks_1(A,G) ) => D = G ) ) => ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ( ( r2_tarski(k7_stacks_1(A,D,F),k11_stacks_1(A,B)) & r2_tarski(H,k11_stacks_1(A,B)) & k9_stacks_1(A,k7_stacks_1(A,D,F)) = k9_stacks_1(A,H) ) => k7_stacks_1(A,D,F) = H ) ) ) ) ) ) => ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ( ( r2_tarski(C,k11_stacks_1(A,B)) & r2_tarski(I,k11_stacks_1(A,B)) & k9_stacks_1(A,C) = k9_stacks_1(A,I) ) => C = I ) ) ) ) )).
fof(s3_stacks_1__e3_80__stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_stacks_1(A,C) => ! [D] : ( m1_subset_1(D,u4_struct_0(k14_stacks_1(A))) => ( D = k6_eqrel_1(u4_struct_0(A),u4_struct_0(A),k10_stacks_1(A),C) => k9_stacks_1(k14_stacks_1(A),D) = k9_stacks_1(A,C) ) ) ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ! [F] : ( m1_subset_1(F,u4_struct_0(k14_stacks_1(A))) => ( F = k6_eqrel_1(u4_struct_0(A),u4_struct_0(A),k10_stacks_1(A),C) => k9_stacks_1(k14_stacks_1(A),F) = k9_stacks_1(A,C) ) ) => ! [G] : ( m1_subset_1(G,u4_struct_0(k14_stacks_1(A))) => ( G = k6_eqrel_1(u4_struct_0(A),u4_struct_0(A),k10_stacks_1(A),k7_stacks_1(A,C,E)) => k9_stacks_1(k14_stacks_1(A),G) = k9_stacks_1(A,k7_stacks_1(A,C,E)) ) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,u4_struct_0(k14_stacks_1(A))) => ( H = k6_eqrel_1(u4_struct_0(A),u4_struct_0(A),k10_stacks_1(A),B) => k9_stacks_1(k14_stacks_1(A),H) = k9_stacks_1(A,B) ) ) ) ) )).
fof(s3_stacks_1__e8_86__stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_stacks_1(B) & v3_stacks_1(B) & v4_stacks_1(B) & v5_stacks_1(B) & v6_stacks_1(B) & l1_stacks_1(B) & v1_relat_1(C) & v1_funct_1(C) & v1_relat_1(D) & v1_funct_1(D) & m1_subset_1(E,u4_struct_0(A)) ) => ( ( ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( r1_stacks_1(A,F) => ! [G] : ( m1_subset_1(G,u4_struct_0(B)) => ( G = k1_funct_1(D,F) => k9_stacks_1(B,G) = k3_relat_1(k9_stacks_1(A,F),C) ) ) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ! [I] : ( m1_subset_1(I,u4_struct_0(B)) => ( I = k1_funct_1(D,F) => k9_stacks_1(B,I) = k3_relat_1(k9_stacks_1(A,F),C) ) ) => ! [J] : ( m1_subset_1(J,u4_struct_0(B)) => ( J = k1_funct_1(D,k7_stacks_1(A,F,H)) => k9_stacks_1(B,J) = k3_relat_1(k9_stacks_1(A,k7_stacks_1(A,F,H)),C) ) ) ) ) ) ) => ! [K] : ( m1_subset_1(K,u4_struct_0(B)) => ( K = k1_funct_1(D,E) => k9_stacks_1(B,K) = k3_relat_1(k9_stacks_1(A,E),C) ) ) ) ) )).
fof(s3_stirl2_1__e23_68__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v1_finset_1(B) & v1_finset_1(C) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( ! [E] : ( r2_tarski(E,k6_subset_1(A,k6_subset_1(A,C))) => r2_hidden(k1_funct_1(D,E),B) ) & r1_tarski(k6_subset_1(A,C),A) & r1_tarski(k7_relset_1(A,B,D,k6_subset_1(A,C)),B) & ( v1_xboole_0(k7_relset_1(A,B,D,k6_subset_1(A,C))) => v1_xboole_0(k6_subset_1(A,C)) ) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [F] : ( r2_tarski(F,k6_subset_1(A,k6_subset_1(A,C))) => k1_funct_1(D,F) = k1_funct_1(E,F) ) => ( ( v2_funct_1(E) & k10_xtuple_0(k5_relat_1(E,k6_subset_1(A,C))) = k7_relset_1(A,B,D,k6_subset_1(A,C)) ) <=> ( v2_funct_1(k2_partfun1(A,B,E,k6_subset_1(A,C))) & k10_xtuple_0(k5_relat_1(k2_partfun1(A,B,E,k6_subset_1(A,C)),k6_subset_1(A,C))) = k7_relset_1(A,B,D,k6_subset_1(A,C)) ) ) ) ) ) => k1_card_1(a_4_10_card_fin(A,B,C,D)) = k1_card_1(a_4_9_card_fin(A,B,C,D)) ) ) )).
fof(s3_subset_1__e19_11__pcomps_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(A)))))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k1_funct_1(B,E)) ) ) ) ) ) )).
fof(s3_subset_1__e1_125__rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) <=> v3_rltopsp1(C,A) ) ) ) ) )).
fof(s3_subset_1__e1_12__rcomp_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,C) <=> ( r1_xxreal_0(D,A) | r1_xxreal_0(B,D) ) ) ) ) ) )).
fof(s3_subset_1__e1_14__eqrel_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r2_tarski(D,C) <=> ( v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & r1_relset_1(A,A,B,D) ) ) ) ) ) )).
fof(s3_subset_1__e1_32_1__connsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & v2_connsp_1(E,A) & r2_tarski(B,D) ) ) ) ) ) )).
fof(s3_subset_1__e1_37__pre_topc,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & v4_pre_topc(E,A) & r1_tarski(B,D) ) ) ) ) ) )).
fof(s3_subset_1__e1_47__int_1,axiom,( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ! [B] : ( m1_subset_1(B,k1_numbers) => ( r2_tarski(B,A) <=> ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k4_ordinal1) => r1_xxreal_0(C,B) ) ) ) ) ) )).
fof(s3_subset_1__e1_4__connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & D = C & v2_connsp_1(D,A) & r1_tarski(k1_struct_0(A),C) ) ) ) ) ) )).
fof(s3_subset_1__e1_53_1_1__waybel30,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( ~ v1_xboole_0(E) & v2_waybel_0(E,A) & v13_waybel_0(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & D = G & k7_subset_1(u1_struct_0(A),E,k4_waybel_0(A,F)) = D & r2_tarski(B,D) & v3_pre_topc(G,A) ) ) ) ) ) ) ) )).
fof(s3_subset_1__e1_66__topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) <=> v2_topgen_1(C,A) ) ) ) ) )).
fof(s3_subset_1__e1_94_1__rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & ~ v8_ordinal1(B) & v1_xreal_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) <=> ( v3_pre_topc(E,A) & r1_tarski(k1_convex1(A,E,B),C) ) ) ) ) ) )).
fof(s3_subset_1__e2_10_1_1_1_1__weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_topmetr)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(k7_metric_1)) & r2_tarski(D,k1_weierstr(A)) & C = k8_metric_1(k7_metric_1,D,1) ) ) ) ) ) )).
fof(s3_subset_1__e2_15_1__tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( r2_tarski(D,C) <=> ? [E] : ( v7_ordinal1(E) & D = a_3_0_tbsp_1(A,B,E) ) ) ) ) ) )).
fof(s3_subset_1__e2_20_2__cantor_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(A,k1_cantor_1(A,k2_cantor_1(A,B))))))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_cantor_1(A,B)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_cantor_1(A,B))) => ( r2_tarski(E,D) <=> ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(g1_pre_topc(A,k1_cantor_1(A,k2_cantor_1(A,B)))))) & r2_tarski(F,C) & F = k3_tarski(E) ) ) ) ) ) )).
fof(s3_subset_1__e2_34_1_1__pre_topc,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> r2_tarski(k7_subset_1(u1_struct_0(A),k2_struct_0(A),D),B) ) ) ) ) )).
fof(s3_subset_1__e2_5_1__ali2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_xreal_0(C) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( r2_tarski(E,D) <=> ? [F] : ( v7_ordinal1(F) & E = a_4_0_ali2(A,B,C,F) ) ) ) ) ) )).
fof(s3_subset_1__e2_66_1__rltopsp1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v6_rltopsp1(A) & v7_rltopsp1(A) & l1_rltopsp1(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) => ( r2_tarski(F,E) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = F & v3_pre_topc(G,A) & r1_tarski(k5_rusub_4(A,G,B),D) ) ) ) ) ) )).
fof(s3_subset_1__e3_26__waybel_3,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) <=> ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & r1_yellow_0(A,E) & D = k1_yellow_0(A,E) ) ) ) ) ) )).
fof(s3_subset_1__e3_30_1_1__urysohn1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,C) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( E = G => ( v3_pre_topc(G,A) & r2_tarski(F,G) & ~ r2_tarski(B,G) ) ) ) ) ) ) ) ) )).
fof(s3_subset_1__e4_23__pcomps_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) <=> ~ ( E != k3_subset_1(u1_struct_0(A),C) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_tarski(H,C) & E = G & v3_pre_topc(F,A) & v3_pre_topc(G,A) & r1_tarski(B,F) & r2_tarski(H,G) & r1_xboole_0(F,G) ) ) ) ) ) ) ) ) ) )).
fof(s3_subset_1__e4_37__tops_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( l1_pre_topc(A) & m1_pre_topc(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(F,E) <=> ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & G = F & v3_pre_topc(G,A) & r2_tarski(k9_subset_1(u1_struct_0(A),F,D),C) ) ) ) ) ) )).
fof(s3_subset_1__e4_6__pcomps_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & E = D & v3_pre_topc(E,A) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(F,B) & r1_tarski(k2_pre_topc(A,E),F) ) ) ) ) ) ) )).
fof(s3_subset_1__e5_16__tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) & v1_xreal_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D = k8_metric_1(A,E,B) ) ) ) ) ) )).
fof(s3_subset_1__e5_2__seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,B) <=> ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => r1_xxreal_0(D,C) ) ) ) ) ) ) )).
fof(s3_subset_1__e6_6__seq_4,axiom,( ! [A] : ( v3_membered(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,B) <=> ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => r1_xxreal_0(D,C) ) ) ) ) ) ) )).
fof(s3_subset_1__e7_7_1__uniform1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( r2_tarski(D,C) <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & D = a_3_0_uniform1(A,B,E) ) ) ) ) ) )).
fof(s3_subset_1__e8_8__seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & ! [C] : ( m1_subset_1(C,k1_numbers) => ( r2_tarski(C,B) <=> ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => r1_xxreal_0(C,D) ) ) ) ) ) ) )).
fof(s3_substut2__e2_8__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m1_henmodel(C,A,B) ) => ( ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v5_relat_1(H,k3_qc_lang1(A)) & v3_card_1(H,G) & m2_finseq_1(H,k2_qc_lang1(A)) ) => ! [I] : ( m2_subset_1(I,k6_qc_lang1(A),k8_qc_lang1(A,G)) => ( ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),k5_cqc_lang(A),C,k3_henmodel(A)) <=> r1_henmodel(A,B,k5_cqc_lang(A)) ) ) & ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),k4_cqc_lang(G,A,I,H),C,k3_henmodel(A)) <=> r1_henmodel(A,B,k4_cqc_lang(G,A,I,H)) ) ) & ( ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),D,C,k3_henmodel(A)) <=> r1_henmodel(A,B,D) ) ) => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),k6_cqc_lang(A,D),C,k3_henmodel(A)) <=> r1_henmodel(A,B,k6_cqc_lang(A,D)) ) ) ) & ( ( ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),D,C,k3_henmodel(A)) <=> r1_henmodel(A,B,D) ) ) & ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),E,C,k3_henmodel(A)) <=> r1_henmodel(A,B,E) ) ) ) => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),k7_cqc_lang(A,D,E),C,k3_henmodel(A)) <=> r1_henmodel(A,B,k7_cqc_lang(A,D,E)) ) ) ) ) ) ) ) ) ) ) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( k7_cqc_sim1(A,D) = k5_numbers => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),D,C,k3_henmodel(A)) <=> r1_henmodel(A,B,D) ) ) ) ) ) ) )).
fof(s3_trees_2__e11_23__trees_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v7_ordinal1(B) & m1_trees_1(C,A) & v1_finset_1(D) ) => ( D = a_3_1_trees_2(A,B,C) => r1_xxreal_0(k4_card_1(D),k4_card_1(k2_finseq_1(B))) ) ) )).
fof(s3_waybel10__e3_59__waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(k1_yellow_2(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A))))) <=> ( v1_orders_2(B) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & v4_waybel_0(B,A) & m1_yellow_0(B,A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k1_waybel10(k4_waybel10(A),k8_waybel10(A)))) <=> ( v1_orders_2(B) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & v4_waybel_0(B,A) & m1_yellow_0(B,A) ) ) ) => g1_orders_2(u1_struct_0(k1_yellow_2(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A)))),u1_orders_2(k1_yellow_2(k7_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k2_tmap_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A)),k5_waybel10(A),k7_waybel10(A))))) = g1_orders_2(u1_struct_0(k1_waybel10(k4_waybel10(A),k8_waybel10(A))),u1_orders_2(k1_waybel10(k4_waybel10(A),k8_waybel10(A)))) ) ) )).
fof(s3_wellfnd1__e3_53__lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v2_lattice6(A) & l3_lattices(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lattice3(k3_lattice3(A)))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lattice3(k3_lattice3(A)))) => ( r2_tarski(k1_domain_1(u1_struct_0(k7_lattice3(k3_lattice3(A))),u1_struct_0(k7_lattice3(k3_lattice3(A))),C,B),u1_orders_2(k7_lattice3(k3_lattice3(A)))) => ( C = B | ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k5_lattice6(A))) & C = k4_lattice3(A,k16_lattice3(A,D)) ) ) ) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k5_lattice6(A))) & B = k4_lattice3(A,k16_lattice3(A,E)) ) ) ) & v1_wellfnd1(k7_lattice3(k3_lattice3(A))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lattice3(k3_lattice3(A)))) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k5_lattice6(A))) & B = k4_lattice3(A,k16_lattice3(A,F)) ) ) ) ) )).
fof(s3_wellfnd1__e3_55__lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_lattice6(A) & l3_lattices(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(k3_lattice3(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(k1_domain_1(u1_struct_0(k3_lattice3(A)),u1_struct_0(k3_lattice3(A)),C,B),u1_orders_2(k3_lattice3(A))) => ( C = B | ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k6_lattice6(A))) & k5_lattice3(A,C) = k15_lattice3(A,D) ) ) ) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k6_lattice6(A))) & k5_lattice3(A,B) = k15_lattice3(A,E) ) ) ) & v1_wellfnd1(k3_lattice3(A)) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_lattice3(A))) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k6_lattice6(A))) & k5_lattice3(A,B) = k15_lattice3(A,F) ) ) ) ) )).
fof(s3_wellfnd1__e4_20__lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice6(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k3_lattice3(A))) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k3_lattice3(A))) => ( r2_tarski(k1_domain_1(u1_struct_0(k3_lattice3(A)),u1_struct_0(k3_lattice3(A)),D,C),u1_orders_2(k3_lattice3(A))) => ( D = C | ~ ( r3_lattices(A,B,k5_lattice3(A,D)) & B != k5_lattice3(A,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r3_lattices(A,E,k5_lattice3(A,D)) & r1_lattice6(A,E,B) ) ) ) ) ) ) => ~ ( r3_lattices(A,B,k5_lattice3(A,C)) & B != k5_lattice3(A,C) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r3_lattices(A,F,k5_lattice3(A,C)) & r1_lattice6(A,F,B) ) ) ) ) ) & v1_wellfnd1(k3_lattice3(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_lattice3(A))) => ~ ( r3_lattices(A,B,k5_lattice3(A,C)) & B != k5_lattice3(A,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r3_lattices(A,G,k5_lattice3(A,C)) & r1_lattice6(A,G,B) ) ) ) ) ) ) )).
fof(s3_wellfnd1__e4_21__lattice6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v2_lattice6(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lattice3(k3_lattice3(A)))) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k7_lattice3(k3_lattice3(A)))) => ( r2_tarski(k1_domain_1(u1_struct_0(k7_lattice3(k3_lattice3(A))),u1_struct_0(k7_lattice3(k3_lattice3(A))),D,C),u1_orders_2(k7_lattice3(k3_lattice3(A)))) => ( D = C | ~ ( r3_lattices(A,k5_lattice3(A,k9_lattice3(k3_lattice3(A),D)),B) & B != k5_lattice3(A,k9_lattice3(k3_lattice3(A),D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r3_lattices(A,k5_lattice3(A,k9_lattice3(k3_lattice3(A),D)),E) & r1_lattice6(A,B,E) ) ) ) ) ) ) => ~ ( r3_lattices(A,k5_lattice3(A,k9_lattice3(k3_lattice3(A),C)),B) & B != k5_lattice3(A,k9_lattice3(k3_lattice3(A),C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r3_lattices(A,k5_lattice3(A,k9_lattice3(k3_lattice3(A),C)),F) & r1_lattice6(A,B,F) ) ) ) ) ) & v1_wellfnd1(k7_lattice3(k3_lattice3(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lattice3(k3_lattice3(A)))) => ~ ( r3_lattices(A,k5_lattice3(A,k9_lattice3(k3_lattice3(A),C)),B) & B != k5_lattice3(A,k9_lattice3(k3_lattice3(A),C)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r3_lattices(A,k5_lattice3(A,k9_lattice3(k3_lattice3(A),C)),G) & r1_lattice6(A,B,G) ) ) ) ) ) ) )).
fof(s3_yellow18__e7_28__yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,E) != k1_xboole_0 & ~ ! [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,D,E)) => k5_altcat_1(A,C,D,E,F,G) = k1_binop_1(k1_multop_1(u2_altcat_1(B),E,D,C),F,G) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( r2_tarski(D,k1_altcat_1(A,C,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( r2_tarski(F,k1_altcat_1(A,C,E)) => k1_binop_1(k1_multop_1(u2_altcat_1(B),E,C,C),D,F) = F ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( r2_tarski(D,k1_altcat_1(A,C,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( r2_tarski(F,k1_altcat_1(A,E,C)) => k1_binop_1(k1_multop_1(u2_altcat_1(B),C,C,E),F,D) = F ) ) ) ) ) => v12_altcat_1(A) ) ) )).
fof(s3_yellow_3__e2_30_2_3_1_5__waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(C)) ) => k2_yellow_0(A,a_4_2_waybel_6(A,B,C,D)) = k2_yellow_0(A,k3_tarski(a_4_1_waybel_6(A,B,C,D))) ) )).
fof(s3_yellow_3__e3_1__waybel22,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => k2_yellow_0(A,a_2_2_waybel22(A,B)) = k2_yellow_0(A,k3_tarski(a_2_3_waybel22(A,B))) ) )).
fof(s3_yellow_9__e2_9__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( B = a_2_3_yellow_9(A,C) => k7_setfam_1(u1_struct_0(A),B) = a_2_1_yellow_9(A,C) ) ) )).
fof(s3_zf_model__e1_6__zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( C = k1_zf_model(B) <=> ? [D] : ( ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( r2_hidden(k4_tarski(k3_zf_lang(E,F),k2_tarski(E,F)),D) & r2_hidden(k4_tarski(k4_zf_lang(E,F),k2_tarski(E,F)),D) ) ) ) & r2_hidden(k4_tarski(B,C),D) & ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ! [F] : ( r2_hidden(k4_tarski(E,F),D) => ( ( v2_zf_lang(E) => F = k2_tarski(k17_zf_lang(E),k18_zf_lang(E)) ) & ( v3_zf_lang(E) => F = k2_tarski(k17_zf_lang(E),k18_zf_lang(E)) ) & ~ ( v4_zf_lang(E) & ! [G] : ~ ( F = G & r2_hidden(k4_tarski(k19_zf_lang(E),G),D) ) ) & ~ ( v5_zf_lang(E) & ! [G] : ! [H] : ~ ( F = k3_tarski(k2_tarski(G,H)) & r2_hidden(k4_tarski(k20_zf_lang(E),G),D) & r2_hidden(k4_tarski(k21_zf_lang(E),H),D) ) ) & ~ ( v6_zf_lang(E) & ! [G] : ~ ( F = k6_subset_1(G,k1_tarski(k22_zf_lang(E))) & r2_hidden(k4_tarski(k23_zf_lang(E),G),D) ) ) ) ) ) ) ) ) => ( ( v2_zf_lang(A) => k1_zf_model(A) = k2_tarski(k17_zf_lang(A),k18_zf_lang(A)) ) & ( v3_zf_lang(A) => k1_zf_model(A) = k2_tarski(k17_zf_lang(A),k18_zf_lang(A)) ) & ( v4_zf_lang(A) => k1_zf_model(A) = k1_zf_model(k19_zf_lang(A)) ) & ( v5_zf_lang(A) => ! [B] : ! [C] : ( ( B = k1_zf_model(k20_zf_lang(A)) & C = k1_zf_model(k21_zf_lang(A)) ) => k1_zf_model(A) = k3_tarski(k2_tarski(B,C)) ) ) & ( v6_zf_lang(A) => k1_zf_model(A) = k6_subset_1(k1_zf_model(k23_zf_lang(A)),k1_tarski(k22_zf_lang(A))) ) ) ) ) )).
fof(s3_zf_model__e2_12__zf_model,axiom,( ! [A] : ! [B] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) ) => ( ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( D = k4_zf_model(C,B) <=> ? [E] : ( ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ( r2_hidden(k4_tarski(k3_zf_lang(F,G),a_3_0_zf_model(B,F,G)),E) & r2_hidden(k4_tarski(k4_zf_lang(F,G),a_3_1_zf_model(B,F,G)),E) ) ) ) & r2_hidden(k4_tarski(C,D),E) & ! [F] : ( ( v1_zf_lang(F) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( r2_hidden(k4_tarski(F,G),E) => ( ( v2_zf_lang(F) => G = a_2_0_zf_model(B,F) ) & ( v3_zf_lang(F) => G = a_2_1_zf_model(B,F) ) & ~ ( v4_zf_lang(F) & ! [H] : ~ ( G = k6_subset_1(k3_zf_model(B),H) & r2_hidden(k4_tarski(k19_zf_lang(F),H),E) ) ) & ~ ( v5_zf_lang(F) & ! [H] : ! [I] : ~ ( G = k3_xboole_0(H,I) & r2_hidden(k4_tarski(k20_zf_lang(F),H),E) & r2_hidden(k4_tarski(k21_zf_lang(F),I),E) ) ) & ~ ( v6_zf_lang(F) & ! [H] : ~ ( G = a_3_2_zf_model(B,F,H) & r2_hidden(k4_tarski(k23_zf_lang(F),H),E) ) ) ) ) ) ) ) ) => ( ( v2_zf_lang(A) => k4_zf_model(A,B) = a_2_2_zf_model(A,B) ) & ( v3_zf_lang(A) => k4_zf_model(A,B) = a_2_3_zf_model(A,B) ) & ( v4_zf_lang(A) => k4_zf_model(A,B) = k6_subset_1(k3_zf_model(B),k4_zf_model(k19_zf_lang(A),B)) ) & ( v5_zf_lang(A) => ! [C] : ! [D] : ( ( C = k4_zf_model(k20_zf_lang(A),B) & D = k4_zf_model(k21_zf_lang(A),B) ) => k4_zf_model(A,B) = k3_xboole_0(C,D) ) ) & ( v6_zf_lang(A) => k4_zf_model(A,B) = a_2_4_zf_model(A,B) ) ) ) ) )).
fof(s3_zf_refle__e10_30_1__zf_refle,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & k4_ordinal4(A,C,k2_ordinal4(A)) = k4_ordinal4(A,B,k2_ordinal4(A)) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => k4_ordinal4(A,C,k6_ordinal4(A,D)) = k6_ordinal4(A,k3_zf_refle(A,k4_ordinal4(A,B,k6_ordinal4(A,D)),k4_ordinal4(A,C,D))) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( v4_ordinal1(D) => ( D = k2_ordinal4(A) | k4_ordinal4(A,C,D) = k2_zf_refle(k5_relset_1(k2_ordinal1(A),k2_ordinal1(A),C,D),A,D) ) ) ) ) ) )).
fof(s3_zf_refle__e5_24__zfrefle1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v3_ordinal1(B) & m1_subset_1(B,A) & v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & k4_ordinal4(A,D,k2_ordinal4(A)) = B & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => k4_ordinal4(A,D,k6_ordinal4(A,E)) = k6_ordinal4(A,k4_ordinal4(A,C,k4_ordinal4(A,D,E))) ) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( v4_ordinal1(E) => ( E = k2_ordinal4(A) | k4_ordinal4(A,D,E) = k2_ordinal4(A) ) ) ) ) ) )).
fof(s4_algstr_4__e17_86__algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k8_afinsq_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),A))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(A,C,D) = k2_algstr_4(A,B,k2_partfun1(k4_ordinal1,A,C,D)) ) ) ) )).
fof(s4_aofa_000__e15_120__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_subset_1(F,u1_struct_0(A)) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(H,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(I,B,k4_numbers,k9_funct_2(B,k4_numbers)) ) => ( ( r2_tarski(I,E) & ( r2_tarski(I,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) <=> r1_xxreal_0(k21_aofa_i00(B,k4_numbers,I,G),k21_aofa_i00(B,k4_numbers,I,H)) ) & ! [J] : ( m1_subset_1(J,k9_funct_2(B,k4_numbers)) => ( ( r2_tarski(J,E) & r2_tarski(J,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & r1_xxreal_0(k21_aofa_i00(B,k4_numbers,J,G),k21_aofa_i00(B,k4_numbers,J,H)) ) => ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),E) & ( r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),G),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),H)) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),G),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),H)) ) & ~ r1_xxreal_0(k10_subset_1(k6_xcmplx_0(k2_xcmplx_0(k21_aofa_i00(B,k4_numbers,J,H),1),k21_aofa_i00(B,k4_numbers,J,G)),k4_ordinal1),k10_subset_1(k6_xcmplx_0(k2_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),H),1),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H))),G)),k4_ordinal1)) ) ) ) ) => r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,F,k57_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,1)),k74_aofa_i00(A,B,C,D,G,H)),k9_funct_2(B,k4_numbers),I,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) ) ) )).
fof(s4_binop_1__e11_97__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C)),A),k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C)),A),k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C))))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C))) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C)),A,k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C)),D,E,F) = k1_domain_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C),k2_domain_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C),E),k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,k3_domain_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C),E),F))) ) ) ) ) )).
fof(s4_binop_1__e14_97__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C)),A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C)),A),B))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C))) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C)),A,B,D,E,F) = k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),B,u3_fsm_1(A,B,C),k1_domain_1(u1_struct_0(C),A,k3_domain_1(k6_domain_1(k4_ordinal1,1),u1_struct_0(C),E),F)) ) ) ) ) )).
fof(s4_binop_1__e19_40_1_4_2__lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))))) & ! [C] : ( m1_subset_1(C,k9_setfam_1(k7_lopclset(A))) => ! [D] : ( m1_subset_1(D,k9_setfam_1(k7_lopclset(A))) => k2_binop_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,C,D) = k1_finsub_1(k1_zfmisc_1(k7_lopclset(A)),C,D) ) ) ) ) )).
fof(s4_binop_1__e1_15__topalg_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(u1_struct_0(k15_euclid(1)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(1))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(1)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(1))))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(1))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k15_euclid(1)),u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(1)),A,B,C) = k1_rlvect_1(k15_euclid(1),B,k6_xcmplx_0(1,C)) ) ) ) )).
fof(s4_binop_1__e1_16__topalg_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(u1_struct_0(k15_euclid(1)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(1))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(1)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(1))))) & ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(1))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k15_euclid(1)),u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(1)),A,B,C) = k1_rlvect_1(k15_euclid(1),B,C) ) ) ) )).
fof(s4_binop_1__e1_1__real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(A)),k1_euclid(A)))) & ! [C] : ( m1_subset_1(C,k1_euclid(A)) => ! [D] : ( m1_subset_1(D,k1_euclid(A)) => k2_binop_1(k1_euclid(A),k1_euclid(A),k1_euclid(A),B,C,D) = k7_euclid(A,C,D) ) ) ) ) )).
fof(s4_binop_1__e1_28__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l3_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(C),A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),A),B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(u1_struct_0(C),A,B,D,E,F) = k3_funct_2(u1_struct_0(C),B,u4_fsm_1(A,B,C),k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,E,F))) ) ) ) ) )).
fof(s4_binop_1__e1_29__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),B),A),k2_zfmisc_1(u1_struct_0(C),B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),B),A),k2_zfmisc_1(u1_struct_0(C),B)))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(C),B)) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(k2_zfmisc_1(u1_struct_0(C),B),A,k2_zfmisc_1(u1_struct_0(C),B),D,E,F) = k1_domain_1(u1_struct_0(C),B,k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,k2_domain_1(u1_struct_0(C),B,E),F)),k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),B,u3_fsm_1(A,B,C),k1_domain_1(u1_struct_0(C),A,k2_domain_1(u1_struct_0(C),B,E),F))) ) ) ) ) )).
fof(s4_binop_1__e1_36__topalg_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) & m1_subset_1(B,u1_struct_0(k8_toprealb(2))) & m1_borsuk_2(C,k8_toprealb(2),A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1))),u1_struct_0(k5_topmetr)),u1_struct_0(k8_toprealb(2))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1))),u1_struct_0(k5_topmetr)),u1_struct_0(k8_toprealb(2))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1)))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1))),u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),D,E,F) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),C,F) ) ) ) ) )).
fof(s4_binop_1__e1_40__fsm_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C) = k10_subset_1(k4_xxreal_0(B,C),k1_numbers) ) ) ) )).
fof(s4_binop_1__e1_41__fsm_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C) = k10_subset_1(k3_xxreal_0(B,C),k1_numbers) ) ) ) )).
fof(s4_binop_1__e1_42__fsm_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C) = k10_subset_1(k2_xcmplx_0(B,C),k1_numbers) ) ) ) )).
fof(s4_binop_1__e1_43__fsm_2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C) = k10_subset_1(k4_xxreal_0(k1_absvalue(B),k1_absvalue(C)),k1_numbers) ) ) ) )).
fof(s4_binop_1__e1_73__topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k17_borsuk_1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k17_borsuk_1)),u1_struct_0(k15_euclid(A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_borsuk_1)) => k2_binop_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A)),B,C,D) = k1_rlvect_1(k15_euclid(A),C,k6_xcmplx_0(1,D)) ) ) ) ) )).
fof(s4_binop_1__e1_97__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C)),A),k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C)),A),k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C))))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C))) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C)),A,k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C)),D,E,F) = k1_domain_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C),k2_domain_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C),E),k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,k3_domain_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C),E),F))) ) ) ) ) )).
fof(s4_binop_1__e28_36__topalg_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1))),u1_struct_0(k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1))),u1_struct_0(k5_topmetr)),u1_struct_0(k2_topalg_2)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k1_compts_1(k6_domain_1(k4_ordinal1,1))),u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),B,C,D) = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),A,D) ) ) ) ) )).
fof(s4_binop_1__e2__symsp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_tarski(k5_numbers)) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers)),k1_tarski(k5_numbers)))) & ! [C] : ( m1_subset_1(C,k1_tarski(k5_numbers)) => ! [D] : ( m1_subset_1(D,k1_tarski(k5_numbers)) => k2_binop_1(k1_tarski(k5_numbers),k1_tarski(k5_numbers),k1_tarski(k5_numbers),B,C,D) = A ) ) ) ) )).
fof(s4_binop_1__e3_29__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(C),B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),B),B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,B) => k2_binop_1(u1_struct_0(C),B,B,D,E,F) = F ) ) ) ) )).
fof(s4_binop_1__e3_43_1__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) & v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) & v7_ordinal1(E) & v7_ordinal1(F) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),u1_struct_0(A)))) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => k2_binop_1(k4_ordinal1,k4_ordinal1,u1_struct_0(A),G,H,I) = k8_group_1(A,k8_group_1(A,k3_matrix_0(u1_struct_0(A),B,E,I),k3_matrix_0(u1_struct_0(A),C,I,H)),k3_matrix_0(u1_struct_0(A),D,H,F)) ) ) ) ) )).
fof(s4_binop_1__e3_43_1__waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,k9_funct_2(B,D)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(B,D)),u1_struct_0(A)))) & ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,k9_funct_2(B,D)) => k2_binop_1(B,k9_funct_2(B,D),u1_struct_0(A),F,G,H) = k1_yellow_0(A,k7_relset_1(k1_funct_1(k7_funcop_1(B,C),G),u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),k7_funcop_1(B,C),k6_waybel_5(B,C,u1_struct_0(A),E),G),k3_funct_2(B,D,H,G))) ) ) ) ) )).
fof(s4_binop_1__e3_54__cat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k4_cat_2(A,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k4_cat_2(A,C)))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_cat_2(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_cat_2(B,C)))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)),u4_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)),u4_struct_0(C)))) & ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_subset_1(H,u4_struct_0(B)) => k2_binop_1(u4_struct_0(A),u4_struct_0(B),u4_struct_0(C),F,G,H) = k1_cat_1(C,k3_funct_2(u4_struct_0(B),u4_struct_0(C),k3_cat_2(u1_struct_0(A),B,C,k4_cat_2(B,C),E,k3_graph_1(A,G)),H),k3_funct_2(u4_struct_0(A),u4_struct_0(C),k3_cat_2(u1_struct_0(B),A,C,k4_cat_2(A,C),D,k4_graph_1(B,H)),G)) ) ) ) ) )).
fof(s4_binop_1__e3_73__topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k17_borsuk_1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k17_borsuk_1)),u1_struct_0(k15_euclid(A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_borsuk_1)) => k2_binop_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A)),B,C,D) = k1_rlvect_1(k15_euclid(A),C,D) ) ) ) ) )).
fof(s4_binop_1__e3__ortsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k2_binop_1(A,A,A,C,D,E) = B ) ) ) ) )).
fof(s4_binop_1__e4_21__nagata_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),k1_numbers,C,D,E) = k10_subset_1(k4_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_prepower(k7_xcmplx_0(1,2)),k10_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),B,k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E)))),k1_numbers) ) ) ) ) )).
fof(s4_binop_1__e4_5_1__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & v7_ordinal1(B) & v7_ordinal1(C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,D,E,F) = k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,A,k1_nat_1(B,E),k1_nat_1(C,F)) ) ) ) ) )).
fof(s4_binop_1__e4_5__card_4,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k2_binop_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,A,B,C) = k2_nat_1(k11_newton(2,B),k1_nat_1(k2_nat_1(2,C),1)) ) ) ) )).
fof(s4_binop_1__e5_7__topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A)),B,C,D) = k1_rlvect_1(k15_euclid(A),C,k6_xcmplx_0(1,D)) ) ) ) ) )).
fof(s4_binop_1__e6_19_4__nagata_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),k1_numbers,D,E,F) = k4_real_1(k8_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(1,2)),B),k2_binop_1(u1_struct_0(A),u1_struct_0(A),k1_numbers,C,E,F)) ) ) ) ) )).
fof(s4_binop_1__e6_97__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C)),A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C)),A),B))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C))) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C)),A,B,D,E,F) = k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),B,u3_fsm_1(A,B,C),k1_domain_1(u1_struct_0(C),A,k3_domain_1(k6_domain_1(k4_ordinal1,k5_numbers),u1_struct_0(C),E),F)) ) ) ) ) )).
fof(s4_binop_1__e7_7__topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k5_topmetr)),u1_struct_0(k15_euclid(A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_topmetr)) => k2_binop_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A)),B,C,D) = k1_rlvect_1(k15_euclid(A),C,D) ) ) ) ) )).
fof(s4_binop_1__e8_38_2__lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))))) & ! [C] : ( m1_subset_1(C,k9_setfam_1(k7_lopclset(A))) => ! [D] : ( m1_subset_1(D,k9_setfam_1(k7_lopclset(A))) => k2_binop_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,C,D) = k3_finsub_1(k1_zfmisc_1(k7_lopclset(A)),C,D) ) ) ) ) )).
fof(s4_chain_1__e11_89_1_1__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_chain_1(C,B) & m1_subset_1(D,k1_zfmisc_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)))) ) => ( ( k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),k5_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)))) = k5_chain_1(B,C,A) & ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1))) => ( r2_tarski(E,D) => k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),k6_domain_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),E))) = k5_chain_1(B,C,A) ) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)))) => ( ( r1_tarski(E,D) & r1_tarski(F,D) & k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),E)) = k5_chain_1(B,C,A) & k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),F)) = k5_chain_1(B,C,A) ) => k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),k7_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1),E,F))) = k5_chain_1(B,C,A) ) ) ) ) => k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),D)) = k5_chain_1(B,C,A) ) ) )).
fof(s4_chain_1__e5_89_1_1_4_1_2__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_chain_1(C,B) & m2_subset_1(D,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1))) ) => ( ( k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),k5_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)))) = k5_chain_1(B,C,A) & ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1))) => ( r2_tarski(E,k3_subset_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),k6_domain_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),D))) => k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),k6_domain_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),E))) = k5_chain_1(B,C,A) ) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)))) => ( ( r1_tarski(E,k3_subset_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),k6_domain_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),D))) & r1_tarski(F,k3_subset_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),k6_domain_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),D))) & k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),E)) = k5_chain_1(B,C,A) & k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),F)) = k5_chain_1(B,C,A) ) => k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),k7_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1),E,F))) = k5_chain_1(B,C,A) ) ) ) ) => k10_chain_1(B,C,A,k10_chain_1(B,C,k1_nat_1(A,1),k3_subset_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),k6_domain_1(k4_chain_1(B,C,k1_nat_1(k1_nat_1(A,1),1)),D)))) = k5_chain_1(B,C,A) ) ) )).
fof(s4_cqc_sim1__e14_82_1__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v1_glib_003(B) & v4_glib_003(B,A) & m2_glib_000(B,A,k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k17_glib_004(A)),k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k17_glib_004(A))) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k3_glib_004(A))) ) => ( ( v1_finset_1(C) & C != k1_xboole_0 & r1_tarski(C,C) & ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m1_subset_1(E,C) => ( ~ ( r1_xxreal_0(k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))),k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B)))) & ~ ( k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))) = k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(F,1))),k7_glib_000(D)) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,F) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),H)),k7_glib_000(D)) ) ) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(G,1))),k7_glib_000(E)) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,G) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),H)),k7_glib_000(E)) ) ) ) => r1_xxreal_0(G,F) ) ) ) ) ) | ~ ( r1_xxreal_0(k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B))),k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B)))) & ~ ( k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B))) = k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))) & ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(I,1))),k7_glib_000(E)) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(K,I) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),K)),k7_glib_000(E)) ) ) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(J,1))),k7_glib_000(D)) & ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(K,J) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),K)),k7_glib_000(D)) ) ) ) => r1_xxreal_0(J,I) ) ) ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m1_subset_1(E,C) => ! [L] : ( m1_subset_1(L,C) => ( ( ~ ( r1_xxreal_0(k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))),k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B)))) & ~ ( k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))) = k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B))) & ! [M] : ( v7_ordinal1(M) => ! [N] : ( v7_ordinal1(N) => ( ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(M,1))),k7_glib_000(D)) & ! [O] : ( v7_ordinal1(O) => ( r1_xxreal_0(O,M) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),O)),k7_glib_000(D)) ) ) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(N,1))),k7_glib_000(E)) & ! [O] : ( v7_ordinal1(O) => ( r1_xxreal_0(O,N) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),O)),k7_glib_000(E)) ) ) ) => r1_xxreal_0(N,M) ) ) ) ) ) & ~ ( r1_xxreal_0(k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B))),k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(L),k25_glib_000(A,B)))) & ~ ( k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B))) = k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(L),k25_glib_000(A,B))) & ! [P] : ( v7_ordinal1(P) => ! [Q] : ( v7_ordinal1(Q) => ( ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(P,1))),k7_glib_000(E)) & ! [R] : ( v7_ordinal1(R) => ( r1_xxreal_0(R,P) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),R)),k7_glib_000(E)) ) ) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(Q,1))),k7_glib_000(L)) & ! [R] : ( v7_ordinal1(R) => ( r1_xxreal_0(R,Q) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),R)),k7_glib_000(L)) ) ) ) => r1_xxreal_0(Q,P) ) ) ) ) ) ) => ~ ( r1_xxreal_0(k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))),k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(L),k25_glib_000(A,B)))) & ~ ( k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))) = k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(L),k25_glib_000(A,B))) & ! [S] : ( v7_ordinal1(S) => ! [T] : ( v7_ordinal1(T) => ( ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(S,1))),k7_glib_000(D)) & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(U,S) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),U)),k7_glib_000(D)) ) ) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(T,1))),k7_glib_000(L)) & ! [U] : ( v7_ordinal1(U) => ( r1_xxreal_0(U,T) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),U)),k7_glib_000(L)) ) ) ) => r1_xxreal_0(T,S) ) ) ) ) ) ) ) ) ) ) => ? [D] : ( m1_subset_1(D,C) & r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,C) => ( r2_tarski(E,C) => ~ ( r1_xxreal_0(k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))),k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B)))) & ~ ( k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(D),k25_glib_000(A,B))) = k4_card_1(k9_subset_1(k7_glib_000(A),k7_glib_000(E),k25_glib_000(A,B))) & ! [V] : ( v7_ordinal1(V) => ! [W] : ( v7_ordinal1(W) => ( ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(V,1))),k7_glib_000(D)) & ! [X] : ( v7_ordinal1(X) => ( r1_xxreal_0(X,V) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),X)),k7_glib_000(D)) ) ) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),k1_nat_1(W,1))),k7_glib_000(E)) & ! [X] : ( v7_ordinal1(X) => ( r1_xxreal_0(X,W) => r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),X)),k7_glib_000(E)) ) ) ) => r1_xxreal_0(W,V) ) ) ) ) ) ) ) ) ) ) )).
fof(s4_domain_1__e2_23__domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => m1_subset_1(a_4_0_domain_1(A,B,C,D),k1_zfmisc_1(k4_zfmisc_1(A,B,C,D))) ) ) ) ) )).
fof(s4_filter_1__e4_37_1__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,B) => k1_binop_1(k6_filter_1(A,B,E,F),k1_domain_1(A,B,C,D),k1_domain_1(A,B,G,H)) = k1_domain_1(A,B,G,H) ) ) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(A,B)) => k1_binop_1(k6_filter_1(A,B,E,F),k1_domain_1(A,B,C,D),G) = G ) ) ) )).
fof(s4_filter_1__e4_38_1__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,B) => k1_binop_1(k6_filter_1(A,B,E,F),k1_domain_1(A,B,G,H),k1_domain_1(A,B,C,D)) = k1_domain_1(A,B,G,H) ) ) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(A,B)) => k1_binop_1(k6_filter_1(A,B,E,F),G,k1_domain_1(A,B,C,D)) = G ) ) ) )).
fof(s4_fraenkel__e7_26__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(B) & m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) & m1_subset_1(D,k4_partfun1(A,B)) ) => ( ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( ( r2_tarski(E,a_4_6_heyting2(A,B,C,D)) & r2_tarski(F,k1_tarski(D)) & r1_partfun1(E,F) ) <=> ( F = D & r2_tarski(E,a_4_6_heyting2(A,B,C,D)) & r1_partfun1(E,F) ) ) ) ) => a_4_7_heyting2(A,B,C,D) = a_4_8_heyting2(A,B,C,D) ) ) )).
fof(s4_fraenkel__e9_38__heyting1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) & m1_subset_1(C,u1_struct_0(k11_normform(A))) ) => ( ! [D] : ( m1_subset_1(D,k7_normform(A)) => ! [E] : ( m1_subset_1(E,k7_normform(A)) => ( ( r2_tarski(D,a_3_9_heyting1(A,B,C)) & r2_tarski(E,k2_heyting1(A,B)) ) <=> ( E = B & r2_tarski(D,a_3_9_heyting1(A,B,C)) ) ) ) ) => a_3_27_heyting1(A,B,C) = a_3_25_heyting1(A,B,C) ) ) )).
fof(s4_funct_1__e10_17__mesfun10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k1_funct_1(D,E) = k3_mesfunc1(A,C,k4_mesfunc5(A,k6_numbers,B,E)) ) ) ) )).
fof(s4_funct_1__e10_39__combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & l1_combgras(C,k1_combgras(A,B),k1_combgras(A,B)) & v1_funct_1(D) & v1_funct_2(D,B,u1_incsp_1(k1_combgras(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_incsp_1(k1_combgras(A,B))))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = B & ! [F] : ( m1_subset_1(F,B) => k1_funct_1(E,F) = k3_tarski(k2_combgras(k1_combgras(A,B),k1_combgras(A,B),C,k3_funct_2(B,u1_incsp_1(k1_combgras(A,B)),D,F))) ) ) ) )).
fof(s4_funct_1__e10_58_3__nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,k4_ordinal1) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( m1_subset_1(E,C) => k1_funct_1(D,E) = k7_xcmplx_0(k3_xcmplx_0(E,A),k1_recdef_1(k14_finseq_1(k3_moebius1(A)),B)) ) ) ) )).
fof(s4_funct_1__e12_40__combgras,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & l1_combgras(C,k1_combgras(A,B),k1_combgras(A,B)) & v1_funct_1(D) & v1_funct_2(D,B,u1_incsp_1(k1_combgras(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_incsp_1(k1_combgras(A,B))))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = B & ! [F] : ( m1_subset_1(F,B) => k1_funct_1(E,F) = k3_tarski(k6_subset_1(B,k2_combgras(k1_combgras(A,B),k1_combgras(A,B),C,k3_funct_2(B,u1_incsp_1(k1_combgras(A,B)),D,F)))) ) ) ) )).
fof(s4_funct_1__e16_13__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k1_funct_1(D,E) = k6_mesfunc1(A,k2_partfun1(A,k6_numbers,k3_mesfunc2(C,A),C),E) ) ) ) )).
fof(s4_funct_1__e1_18__topgen_5,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & k9_xtuple_0(A) = k1_numbers & ! [B] : ( m1_subset_1(B,k1_numbers) => k1_funct_1(A,B) = k19_euclid(B,k5_numbers) ) ) )).
fof(s4_funct_1__e1_19__pre_circ,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_trees_1(B,A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_trees_1(A,B) & ! [D] : ( m1_subset_1(D,k4_trees_1(A,B)) => k1_funct_1(C,D) = k8_finseq_1(k4_ordinal1,B,D) ) ) ) )).
fof(s4_funct_1__e1_27_1__pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_trees_1(B,A) & m2_finseq_2(C,k4_ordinal1,k3_finseq_2(k4_ordinal1)) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_trees_1(A,B) & ! [E] : ( m1_subset_1(E,k4_trees_1(A,B)) => k1_funct_1(D,E) = k8_finseq_1(k4_ordinal1,C,E) ) ) ) )).
fof(s4_funct_1__e1_28_1__pre_circ,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,A) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & ! [E] : ( m1_subset_1(E,B) => k1_funct_1(D,E) = k8_finseq_1(k4_ordinal1,C,E) ) ) ) )).
fof(s4_funct_1__e1_31__topgen_3,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & k9_xtuple_0(A) = k2_zfmisc_1(k1_numbers,k3_numbers) & ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k3_numbers)) => k1_funct_1(A,B) = k3_rcomp_1(k2_domain_1(k1_numbers,k3_numbers,B),k3_domain_1(k1_numbers,k3_numbers,B)) ) ) )).
fof(s4_funct_1__e1_5__prob_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & m1_prob_1(D,A,B) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k4_ordinal1 & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k1_funct_1(E,F) = k5_prob_1(A,B,k1_prob_2(A,B,C,F),D) ) ) ) )).
fof(s4_funct_1__e29_17__mesfun10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k1_funct_1(D,E) = k4_mesfunc1(A,C,k4_mesfunc5(A,k6_numbers,B,E)) ) ) ) )).
fof(s4_funct_1__e2_46__waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = u1_struct_0(k3_waybel24(B,k1_waybel29(k1_yellow_1(u1_pre_topc(A))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_waybel24(B,k1_waybel29(k1_yellow_1(u1_pre_topc(A)))))) => k1_funct_1(C,D) = k5_waybel26(D) ) ) ) )).
fof(s4_funct_1__e3_111__aofa_000,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_freealg(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( m1_subset_1(C,A) => k1_funct_1(B,C) = k1_trees_4(C) ) ) ) )).
fof(s4_funct_1__e64_17__mesfun10,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_funct_1(C,D) = k7_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,D)) ) ) ) )).
fof(s4_funct_1__e6_20_5__goedcpuc,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_funct_1(C,D) = k6_goedcpuc(A,B,D) ) ) ) )).
fof(s4_funct_2__e10_15__jct_misc,axiom,( ! [A] : ! [B] : ( ( v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),C,D) = k9_subset_1(k1_numbers,k8_nat_1(k1_zfmisc_1(k1_numbers),B,D),A) ) ) ) )).
fof(s4_funct_2__e10_41_1_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(A)) & m3_measure8(E,A,D,B) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),F,G) = k9_subset_1(A,k1_measure8(A,B,E,G),k6_subset_1(A,C)) ) ) ) )).
fof(s4_funct_2__e10_5_1__dblseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k4_ordinal1,B,C) = k1_nat_1(A,C) ) ) ) )).
fof(s4_funct_2__e11_43__waybel12,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),C,D) = k2_yellow_0(A,a_3_6_waybel12(A,B,D)) ) ) ) )).
fof(s4_funct_2__e12_15__jct_misc,axiom,( ! [A] : ! [B] : ( ( v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_zfmisc_1(k1_numbers),C,D) = k9_subset_1(k1_numbers,k8_nat_1(k1_zfmisc_1(k1_numbers),B,D),A) ) ) ) )).
fof(s4_funct_2__e13_53__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e13_7__cfdiff_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_xcmplx_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k3_xcmplx_0(k3_complex1(k2_cfdiff_1(A,B)),D),k1_numbers) ) ) ) )).
fof(s4_funct_2__e14_5_1__dblseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k4_ordinal1,B,C) = k1_nat_1(A,C) ) ) ) )).
fof(s4_funct_2__e17_28__ndiff_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & v1_xreal_0(C) & v1_funct_1(D) & v1_funct_2(D,k1_numbers,u1_struct_0(k4_real_ns1(A))) & v2_ndiff_3(D,k4_real_ns1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,u1_struct_0(k4_real_ns1(A)),E,F) = k5_algstr_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),B,k2_xcmplx_0(F,C)),k7_partfun1(u1_struct_0(k4_real_ns1(A)),B,C)),k7_partfun1(u1_struct_0(k4_real_ns1(A)),D,F)) ) ) ) )).
fof(s4_funct_2__e17_2__jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k10_subset_1(k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,1),k3_jordan1h(A,1),1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,1),k3_jordan1h(A,1),k3_finseq_1(k1_jordan8(A,1)))),k8_jordan6(k3_topreal1(2,k1_jordan9(A,k1_nat_1(C,1))))))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e1_132_3__waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,E) = k13_lattice3(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),E) ) ) ) )).
fof(s4_funct_2__e1_16_2__gr_cy_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_gr_cy_1(k7_group_1(A))),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(k7_group_1(A))),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k4_gr_cy_1(k7_group_1(A)))) => k3_funct_2(u1_struct_0(k4_gr_cy_1(k7_group_1(A))),u1_struct_0(A),C,D) = k5_group_1(A,B,D) ) ) ) )).
fof(s4_funct_2__e1_17_1__gr_cy_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_gr_cy_1),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_gr_cy_1),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k2_gr_cy_1)) => k3_funct_2(u1_struct_0(k2_gr_cy_1),u1_struct_0(A),C,D) = k5_group_1(A,B,k5_gr_cy_1(D)) ) ) ) )).
fof(s4_funct_2__e1_18__finance2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),B,C) = k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),C) ) ) ) )).
fof(s4_funct_2__e1_1__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & v7_ordinal1(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,B,E,F) = k8_nat_1(B,C,k1_nat_1(D,F)) ) ) ) )).
fof(s4_funct_2__e1_29_1__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),F,G) = k9_subset_1(A,D,k16_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,G),E)) ) ) ) )).
fof(s4_funct_2__e1_30_1__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),F,G) = k9_subset_1(A,D,k17_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,G),E)) ) ) ) )).
fof(s4_funct_2__e1_33_1__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),F,G) = k9_subset_1(A,D,k17_mesfunc1(A,k4_mesfunc5(A,k6_numbers,k4_mesfunc8(A,C),G),E)) ) ) ) )).
fof(s4_funct_2__e1_34_1__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_xreal_0(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),F,G) = k9_subset_1(A,D,k16_mesfunc1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc8(A,C),G),E)) ) ) ) )).
fof(s4_funct_2__e1_35__autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_autgroup(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_autgroup(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k4_autgroup(A),B,C) = k6_autgroup(A,k2_group_1(A,C)) ) ) ) )).
fof(s4_funct_2__e1_38__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m3_measure8(D,A,C,B) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),E,F) = k9_subset_1(A,k8_nat_1(k9_setfam_1(A),k3_prob_3(A,D),F),C) ) ) ) )).
fof(s4_funct_2__e1_41_1_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(A)) & m3_measure8(E,A,D,B) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),F,G) = k9_subset_1(A,k1_measure8(A,B,E,G),C) ) ) ) )).
fof(s4_funct_2__e1_43__taylor_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(D) & v1_xreal_0(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [G] : ( m1_subset_1(G,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,F,G) = k10_subset_1(k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(B,D),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(B,C,G,D)),A)),k7_xcmplx_0(k3_xcmplx_0(E,k1_newton(k6_xcmplx_0(D,G),k1_nat_1(A,1))),k2_newton(k1_nat_1(A,1)))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e1_45__rlaffin1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k3_rlvect_1(A,D,B) ) ) ) )).
fof(s4_funct_2__e1_46_1__rsspace4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k9_rsspace4(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k9_rsspace4(A,B))))) & m1_subset_1(D,A) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(B),E,F) = k3_funct_2(A,u1_struct_0(B),k6_rsspace4(A,B,k1_normsp_0(k9_rsspace4(A,B),C,F)),D) ) ) ) )).
fof(s4_funct_2__e1_46__rlaffin1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),C,D) = k1_rlvect_1(B,D,A) ) ) ) )).
fof(s4_funct_2__e1_47_1__cc0sp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k7_cc0sp1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_cc0sp1(A))))) & m1_subset_1(C,A) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,k2_numbers,D,E) = k3_funct_2(A,k2_numbers,k4_cc0sp1(A,k1_normsp_0(k7_cc0sp1(A),B,E)),C) ) ) ) )).
fof(s4_funct_2__e1_52_1__csspace4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k9_csspace4(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k9_csspace4(A,B))))) & m1_subset_1(D,A) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(B),E,F) = k3_funct_2(A,u1_struct_0(B),k6_csspace4(A,B,k1_normsp_0(k9_csspace4(A,B),C,F)),D) ) ) ) )).
fof(s4_funct_2__e1_54_1_1_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k3_yellow_3(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_yellow_3(A,B))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E) = k8_yellow_3(A,B,k8_nat_1(u1_struct_0(k3_yellow_3(A,B)),C,E)) ) ) ) )).
fof(s4_funct_2__e1_5__waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A))),B,C) = k2_yellow_0(k1_yellow_1(k7_waybel_0(A)),k8_relset_1(u1_struct_0(k1_yellow_1(k7_waybel_0(A))),u1_struct_0(A),k2_yellow_2(A),k4_waybel_0(A,k6_domain_1(u1_struct_0(A),C)))) ) ) ) )).
fof(s4_funct_2__e1_61__group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k2_group_3(A,D,B) ) ) ) )).
fof(s4_funct_2__e1_65_1__c0sp1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k11_c0sp1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_c0sp1(A))))) & m1_subset_1(C,A) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,D,E) = k3_funct_2(A,k1_numbers,k8_c0sp1(A,k1_normsp_0(k11_c0sp1(A),B,E)),C) ) ) ) )).
fof(s4_funct_2__e1_72__fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & v8_struct_0(C) & v5_fsm_1(C,A,B) & l2_fsm_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),k8_fsm_1(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k8_fsm_1(A,B,C)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k8_fsm_1(A,B,C),D,E) = k3_funct_2(u1_struct_0(C),k8_fsm_1(A,B,C),k13_eqrel_1(u1_struct_0(C),k8_fsm_1(A,B,C)),E) ) ) ) )).
fof(s4_funct_2__e1_75__group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(1),k9_finseq_1(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(1),k9_finseq_1(A)))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(1),k9_finseq_1(A))),B,C) = k4_group_7(A,C) ) ) ) )).
fof(s4_funct_2__e1_90__stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & v7_stacks_1(A) & l1_stacks_1(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u4_struct_0(A),k3_finseq_2(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k3_finseq_2(u1_struct_0(A))))) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),B,C) = k9_stacks_1(A,C) ) ) ) )).
fof(s4_funct_2__e1_99__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k3_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(k22_sin_cos,A)),k3_complex1(k11_comseq_3(k24_sin_cos(C)))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e20_2__jordan11,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(2))))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(k15_euclid(2)),C,D) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2),k8_nat_1(k1_numbers,B,D)) ) ) ) )).
fof(s4_funct_2__e20_74__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(k14_prvect_2(A))) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)) & v13_vectsp_1(E,k14_prvect_2(A),B) & v1_lopban_1(E,k14_prvect_2(A),B) & v2_lopban_1(E,k14_prvect_2(A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) & ! [G] : ( m1_subset_1(G,u1_struct_0(k14_prvect_2(A))) => k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B),F,G) = k5_algstr_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,k3_rlvect_1(k14_prvect_2(A),D,G)),k7_partfun1(u1_struct_0(B),C,D)),k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B),E,G)) ) ) ) )).
fof(s4_funct_2__e20_7__cfdiff_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_xcmplx_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k4_xcmplx_0(k3_xcmplx_0(k4_complex1(k2_cfdiff_1(A,B)),D)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e22_110__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e23_13__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e23_31_1_2__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_xreal_0(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,E,F) = k10_subset_1(k3_xcmplx_0(k3_xcmplx_0(D,k2_normsp_0(A,k5_algstr_0(A,C,B))),F),k1_numbers) ) ) ) )).
fof(s4_funct_2__e24_4__topmetr2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,A,B) = k10_subset_1(k3_xcmplx_0(2,B),k1_numbers) ) ) )).
fof(s4_funct_2__e25_43_1__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k5_finsub_1(k4_ordinal1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),u1_struct_0(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E) = k7_setwiseo(k4_ordinal1,u1_struct_0(A),u1_algstr_0(A),B,k10_funct_5(k4_ordinal1,k4_ordinal1,u1_struct_0(A),k9_funct_2(k4_ordinal1,u1_struct_0(A)),k12_funct_5(k4_ordinal1,k4_ordinal1,u1_struct_0(A),C),E)) ) ) ) )).
fof(s4_funct_2__e25_95_2_2_4_2__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,A,k4_finseq_2(B,k5_margrel1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_finseq_2(B,k5_margrel1)))) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & ! [F] : ( m1_subset_1(F,A) => k3_funct_2(A,k4_ordinal1,E,F) = k6_binarith(B,k3_armstrng(B,k1_binari_3(B,k5_series_1(2,D)),k3_funct_2(A,k4_finseq_2(B,k5_margrel1),C,F))) ) ) ) )).
fof(s4_funct_2__e26_106__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e26_14_1_3__partit_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(A)))) & ! [E] : ( m1_subset_1(E,C) => k3_funct_2(C,k9_setfam_1(A),D,E) = k15_bvfunc_1(A,B,E) ) ) ) )).
fof(s4_funct_2__e26_2__jordan11,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(2))))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k10_subset_1(k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,1),k3_jordan1h(A,1),1),k8_nat_1(u1_struct_0(k15_euclid(2)),B,D)),k9_jordan6(k3_topreal1(2,k1_jordan9(A,k1_nat_1(D,1))))))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e27_41__topgen_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,k1_numbers,B,C) = k10_subset_1(k4_series_1(k4_topgen_3(C,k7_xcmplx_0(1,2))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e28_14_1_3__partit_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(A)))) & ! [E] : ( m1_subset_1(E,C) => k3_funct_2(C,k9_setfam_1(A),D,E) = k15_bvfunc_1(A,B,E) ) ) ) )).
fof(s4_funct_2__e28_2__jordan11,axiom,( ! [A] : ! [B] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(2))))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(k15_euclid(2)),C,D) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2),k8_nat_1(k1_numbers,B,D)) ) ) ) )).
fof(s4_funct_2__e2_132_2__waybel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_yellow_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,E) = k13_lattice3(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),E) ) ) ) )).
fof(s4_funct_2__e2_13__finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),B,C) = k1_seq_4(k3_xcmplx_0(A,C)) ) ) ) )).
fof(s4_funct_2__e2_29_3__sfmastr2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [D] : ( m1_subset_1(D,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,C,D) = k1_int_2(k1_funct_1(D,k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(A),k3_sf_mastr(B))))) ) ) ) )).
fof(s4_funct_2__e2_29__heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)))) & ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => k3_funct_2(k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B),C,D) = k3_substlat(A,B,D) ) ) ) )).
fof(s4_funct_2__e2_30_2_2_2__sfmastr2,axiom,( ! [A] : ! [B] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [D] : ( m1_subset_1(D,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,C,D) = k1_int_2(k1_funct_1(D,k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(A),k3_sf_mastr(B))))) ) ) ) )).
fof(s4_funct_2__e2_37_1_1__dualsp02,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(k17_dualsp01(k17_dualsp01(k17_dualsp01(A))))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k18_dualsp01(k17_dualsp01(k17_dualsp01(A)),B,k1_dualsp02(A,D)) ) ) ) )).
fof(s4_funct_2__e2_41__clopban4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E) = k1_normsp_0(A,k1_bhsp_4(A,k5_clopban4(A,B,C,E)),E) ) ) ) )).
fof(s4_funct_2__e2_47__lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k8_lopban_4(A,B,C,E)),E) ) ) ) )).
fof(s4_funct_2__e2_52__waybel25,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k1_waybel25(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_waybel25(B))))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_waybel25(B)),D,E) = k1_waybel_2(k1_waybel25(B),k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,E)) ) ) ) )).
fof(s4_funct_2__e2_55_1_1_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,k8_nat_1(u1_struct_0(B),C,F)) ) ) ) )).
fof(s4_funct_2__e2_66_2__scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [C] : ( m1_subset_1(C,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,B,C) = k1_int_2(k1_funct_1(C,A)) ) ) ) )).
fof(s4_funct_2__e2_67_1_2_2__scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [C] : ( m1_subset_1(C,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,B,C) = k1_int_2(k1_funct_1(C,A)) ) ) ) )).
fof(s4_funct_2__e2_71__ordeq_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,E,F) = k10_subset_1(k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,A)),D),k2_newton(D)),B)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e2_72__afvect0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k3_rlvect_1(A,B,D) ) ) ) )).
fof(s4_funct_2__e2_97__sin_cos,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k4_xcmplx_0(k3_xcmplx_0(C,k4_complex1(k3_xcmplx_0(k11_comseq_3(k24_sin_cos(k3_xcmplx_0(C,k7_complex1))),k2_xcmplx_0(k3_funct_2(k1_numbers,k1_numbers,k18_sin_cos,A),k3_xcmplx_0(k3_funct_2(k1_numbers,k1_numbers,k16_sin_cos,A),k7_complex1)))))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e2_98__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k3_xcmplx_0(C,k3_complex1(k3_xcmplx_0(k11_comseq_3(k24_sin_cos(k3_xcmplx_0(C,k7_complex1))),k2_xcmplx_0(k1_funct_1(k18_sin_cos,A),k3_xcmplx_0(k1_funct_1(k16_sin_cos,A),k7_complex1))))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e30_2__jordan11,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(2))))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(2))))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),C,D) = k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k1_rltopsp1(k15_euclid(2),k8_nat_1(u1_struct_0(k15_euclid(2)),A,D),k8_nat_1(u1_struct_0(k15_euclid(2)),B,D))) ) ) ) )).
fof(s4_funct_2__e31_7__cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k1_funct_1(k6_comseq_3(k2_numbers,A),k3_xcmplx_0(C,k7_complex1)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e35_101__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e35_37_1_1_2__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & v2_relat_1(D) & v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(k4_ordinal1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(k4_ordinal1)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) & ! [F] : ( m1_subset_1(F,C) => k3_funct_2(C,k4_ordinal1,E,F) = k4_seq_4(k3_funct_2(C,k9_setfam_1(k4_ordinal1),D,F)) ) ) ) )).
fof(s4_funct_2__e39_7__cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k1_funct_1(k5_comseq_3(k2_numbers,A),k3_xcmplx_0(C,k7_complex1)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e3_10__treal_1,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B,A),D),A),k1_numbers) ) ) ) )).
fof(s4_funct_2__e3_11__lopban_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k16_lopban_1(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k16_lopban_1(A,B))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,E) = k5_normsp_1(B,k2_lopban_5(A,B,C,E)) ) ) ) )).
fof(s4_funct_2__e3_13__group_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,B) => k3_funct_2(B,u1_struct_0(A),D,E) = k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,C),E),C) ) ) ) )).
fof(s4_funct_2__e3_15__heyting1,axiom,( ! [A] : ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k7_normform(A)),k8_normform(A)))) & ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(A))) => k3_funct_2(k5_finsub_1(k7_normform(A)),k8_normform(A),B,C) = k9_normform(A,C) ) ) )).
fof(s4_funct_2__e3_16__waybel25,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v4_waybel11(B) & m1_yellow_9(B,A) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & ~ v2_struct_0(E) & v2_pre_topc(E) & l1_pre_topc(E) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(E),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) & ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => k3_funct_2(u1_struct_0(E),u1_struct_0(B),F,G) = k1_yellow_0(B,a_6_0_waybel25(A,B,C,D,E,G)) ) ) ) )).
fof(s4_funct_2__e3_18_1_1__ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_nfcont_3(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(k1_numbers,u1_struct_0(B),D,E) = k1_rlvect_1(B,k7_partfun1(u1_struct_0(B),C,A),E) ) ) ) )).
fof(s4_funct_2__e3_27__ordeq_02,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k7_xcmplx_0(k1_newton(k6_xcmplx_0(D,B),k1_nat_1(A,1)),k2_newton(k1_nat_1(A,1))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e3_29__dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,B,C) = k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,A,C,C) ) ) ) )).
fof(s4_funct_2__e3_30__ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,E,F) = k10_subset_1(k3_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,A)),D),k2_newton(D)),B)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e3_31_1_2__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(k1_numbers,u1_struct_0(A),D,E) = k3_rlvect_1(A,k1_rlvect_1(A,k5_algstr_0(A,C,B),E),B) ) ) ) )).
fof(s4_funct_2__e3_45__group_10,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,B) => k3_funct_2(B,u1_struct_0(A),D,E) = k6_algstr_0(A,E,C) ) ) ) )).
fof(s4_funct_2__e3_45__sin_cos2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,A,B) = k10_subset_1(k4_xcmplx_0(B),k1_numbers) ) ) )).
fof(s4_funct_2__e3_50_1_2__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_card_1(B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(B),B))) & ~ v1_xboole_0(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k4_ordinal1))) & ! [F] : ( m1_subset_1(F,D) => k3_funct_2(D,k4_ordinal1,E,F) = k4_card_1(k1_funct_1(k3_relat_1(C,A),F)) ) ) ) )).
fof(s4_funct_2__e3_68__ordeq_01,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k7_xcmplx_0(k1_newton(k6_xcmplx_0(D,B),k2_xcmplx_0(A,1)),k2_newton(k2_xcmplx_0(A,1))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e3_97__waybel_1,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k1_yellow_0(A,k8_relset_1(u1_struct_0(A),u1_struct_0(A),k4_waybel_1(A,B),k5_waybel_0(A,D))) ) ) ) )).
fof(s4_funct_2__e40_17__mesfun10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k7_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,F)) ) ) ) )).
fof(s4_funct_2__e40_26__cfdiff_2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k3_xcmplx_0(A,C),k1_numbers) ) ) ) )).
fof(s4_funct_2__e45_40__mesfunc8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,B,E,F) = k7_prob_1(A,B,C,k8_nat_1(B,D,F)) ) ) ) )).
fof(s4_funct_2__e49_105__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e4_15__finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(k1_numbers),B,C) = k1_seq_4(k3_xcmplx_0(A,C)) ) ) ) )).
fof(s4_funct_2__e4_28__ordeq_02,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k7_xcmplx_0(k1_newton(k6_xcmplx_0(D,A),k1_nat_1(B,1)),k2_newton(k1_nat_1(B,1))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e51_105__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e53_4__topmetr2,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [B] : ( m1_subset_1(B,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,A,B) = k10_subset_1(k6_xcmplx_0(k3_xcmplx_0(2,B),1),k1_numbers) ) ) )).
fof(s4_funct_2__e56_136__aofa_a00,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(2,k4_numbers),k5_margrel1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2,k4_numbers),k5_margrel1))) & ! [B] : ( m1_subset_1(B,k4_finseq_2(2,k4_numbers)) => k3_funct_2(k4_finseq_2(2,k4_numbers),k5_margrel1,A,B) = k10_subset_1(k5_xxreal_0(k7_partfun1(k4_numbers,B,1),k7_partfun1(k4_numbers,B,2),k6_margrel1,k7_margrel1),k5_margrel1) ) ) )).
fof(s4_funct_2__e57_105__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e58_26__cfdiff_2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k3_xcmplx_0(A,C),k1_numbers) ) ) ) )).
fof(s4_funct_2__e5_11__tietze,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) & ! [E] : ( m1_subset_1(E,C) => k3_funct_2(C,k1_numbers,D,E) = k10_subset_1(k1_seq_2(k10_seqfunc(A,B,E)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e5_15__treal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,E,F) = k10_subset_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D,C),k6_xcmplx_0(B,A)),F),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(B,C),k3_xcmplx_0(A,D)),k6_xcmplx_0(B,A))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e5_22__ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & v1_xreal_0(B) & v1_funct_1(C) & v1_nfcont_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(k1_numbers,u1_struct_0(A),D,E) = k6_integr18(A,C,B,E) ) ) ) )).
fof(s4_funct_2__e5_30_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(B),E,F) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k8_nat_1(u1_struct_0(A),D,F)) ) ) ) )).
fof(s4_funct_2__e5_35__laplace,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,k5_finsub_1(k9_matrix_1(A))) => k3_funct_2(k5_finsub_1(k9_matrix_1(A)),u1_struct_0(B),D,E) = k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),E,k11_matrix_3(A,B,C)) ) ) ) )).
fof(s4_funct_2__e5_44_1__polynom1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_2(3,k15_pre_poly(A)),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(3,k15_pre_poly(A)),u1_struct_0(B)))) & ! [G] : ( m1_subset_1(G,k4_finseq_2(3,k15_pre_poly(A))) => k3_funct_2(k4_finseq_2(3,k15_pre_poly(A)),u1_struct_0(B),F,G) = k6_algstr_0(B,k6_algstr_0(B,k4_polynom1(A,B,C,k7_partfun1(k15_pre_poly(A),G,1)),k4_polynom1(A,B,D,k7_partfun1(k15_pre_poly(A),G,2))),k4_polynom1(A,B,E,k7_partfun1(k15_pre_poly(A),G,3))) ) ) ) )).
fof(s4_funct_2__e5_54__ordeq_01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v1_funct_1(C) & v1_nfcont_3(C,k4_real_ns1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) & ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(k1_numbers,u1_struct_0(k4_real_ns1(A)),D,E) = k6_integr18(k4_real_ns1(A),C,B,E) ) ) ) )).
fof(s4_funct_2__e5_63__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k7_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e5_71__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_setfam_1(B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(B),B))) & ! [E] : ( m1_subset_1(E,k9_setfam_1(B)) => k3_funct_2(k9_setfam_1(B),B,D,E) = k3_funct_2(u1_struct_0(A),B,C,k15_lattice3(A,E)) ) ) ) )).
fof(s4_funct_2__e5_95_2_2_4_2__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,A,k4_finseq_2(B,k5_margrel1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_finseq_2(B,k5_margrel1)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k4_ordinal1,D,E) = k6_binarith(B,k3_armstrng(B,k1_binari_3(B,k5_numbers),k3_funct_2(A,k4_finseq_2(B,k5_margrel1),C,E))) ) ) ) )).
fof(s4_funct_2__e5_97_3__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & m2_subset_1(E,k1_zfmisc_1(A),B) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,F,G) = k5_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,G),E)) ) ) ) )).
fof(s4_funct_2__e5_99__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k3_xcmplx_0(C,k1_funct_1(k22_sin_cos,A)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e69_7__cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k1_funct_1(k6_comseq_3(k2_numbers,A),C),k1_numbers) ) ) ) )).
fof(s4_funct_2__e6_100__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_2__e6_22__integr10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) & ! [E] : ( m1_subset_1(E,C) => k3_funct_2(C,k1_numbers,D,E) = k10_subset_1(k4_integra5(B,E,A),k1_numbers) ) ) ) )).
fof(s4_funct_2__e6_23__integr10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) & ! [E] : ( m1_subset_1(E,C) => k3_funct_2(C,k1_numbers,D,E) = k10_subset_1(k4_integra5(E,B,A),k1_numbers) ) ) ) )).
fof(s4_funct_2__e6_30__sfmastr3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) & v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [F] : ( m1_subset_1(F,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2))) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,F) = k1_int_2(k1_funct_1(F,k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,B,C),k3_sf_mastr(D))))) ) ) ) )).
fof(s4_funct_2__e6_48__int_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k3_int_7(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_int_7(A))))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k4_ordinal1,C,D) = k6_group_1(k3_int_7(A),k8_nat_1(u1_struct_0(k3_int_7(A)),B,D)) ) ) ) )).
fof(s4_funct_2__e6_61__cfdiff_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k2_numbers,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & ! [C] : ( m1_subset_1(C,k2_numbers) => k3_funct_2(k2_numbers,k2_numbers,B,C) = k10_subset_1(k3_xcmplx_0(A,C),k2_numbers) ) ) ) )).
fof(s4_funct_2__e6_69__ordeq_01,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & m1_subset_1(B,k4_ordinal1) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k7_xcmplx_0(k1_newton(k6_xcmplx_0(D,A),k2_xcmplx_0(B,1)),k2_newton(k2_xcmplx_0(B,1))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e6_97__sin_cos,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k4_xcmplx_0(k3_xcmplx_0(C,k3_funct_2(k1_numbers,k1_numbers,k16_sin_cos,A))),k1_numbers) ) ) ) )).
fof(s4_funct_2__e6_98__sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k3_xcmplx_0(C,k1_funct_1(k18_sin_cos,A)),k1_numbers) ) ) ) )).
fof(s4_funct_2__e72_7__cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_partfun1(A,k2_numbers) & v2_cfdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [C] : ( m1_subset_1(C,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,B,C) = k10_subset_1(k1_funct_1(k5_comseq_3(k2_numbers,A),C),k1_numbers) ) ) ) )).
fof(s4_funct_2__e7_23_1_2__zmodul05,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_numbers,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_numbers,u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k4_numbers) => k3_funct_2(k4_numbers,u1_struct_0(A),C,D) = k1_zmodul01(A,B,D) ) ) ) )).
fof(s4_funct_2__e7_29__ordeq_02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,E,F) = k10_subset_1(k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),k1_nat_1(A,1)),k2_newton(k1_nat_1(A,1))),D),k1_numbers) ) ) ) )).
fof(s4_funct_2__e7_43_1__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k5_finsub_1(k4_ordinal1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),u1_struct_0(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E) = k7_setwiseo(k4_ordinal1,u1_struct_0(A),u1_algstr_0(A),B,k10_funct_5(k4_ordinal1,k4_ordinal1,u1_struct_0(A),k9_funct_2(k4_ordinal1,u1_struct_0(A)),k11_funct_5(k4_ordinal1,k4_ordinal1,u1_struct_0(A),C),E)) ) ) ) )).
fof(s4_funct_2__e7_52__gr_cy_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) & v8_struct_0(B) & m1_group_2(B,k1_uniroots(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,k4_ordinal1,D,E) = k6_group_1(B,k8_nat_1(u1_struct_0(B),C,E)) ) ) ) )).
fof(s4_funct_2__e7_54__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k8_nat_1(k6_numbers,k11_measure8(A,B,D,C),k5_numbers) ) ) ) )).
fof(s4_funct_2__e7_78__filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k7_filter_0(A,k3_lattices(A,D,k7_filter_0(A,D,B)),D) ) ) ) )).
fof(s4_funct_2__e8_52__zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v3_zmodul03(A) & l1_zmodul01(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k12_zmodul02(o_0_0_zmodul04,A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k12_zmodul02(o_0_0_zmodul04,A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k12_zmodul02(o_0_0_zmodul04,A)),B,C) = k13_zmodul02(o_0_0_zmodul04,A,C) ) ) ) )).
fof(s4_funct_2__e8_70__ordeq_01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v1_xreal_0(C) & v1_xreal_0(D) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,E,F) = k10_subset_1(k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(C,k6_xcmplx_0(F,B)),k2_xcmplx_0(A,1)),k2_newton(k2_xcmplx_0(A,1))),D),k1_numbers) ) ) ) )).
fof(s4_funct_2__e93_17__mesfun10,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,B,C) = k2_supinf_2(k12_supinf_2(A,C)) ) ) ) )).
fof(s4_funct_2__e9_13__group_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,C) => k3_funct_2(C,u1_struct_0(A),D,E) = k6_algstr_0(A,k6_algstr_0(A,B,E),k2_group_1(A,B)) ) ) ) )).
fof(s4_funct_2__e9_18__integra7,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k4_integra5(A,D,B),k1_numbers) ) ) ) )).
fof(s4_funct_2__e9_38__integra6,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k3_xcmplx_0(k1_funct_1(A,B),D),k1_numbers) ) ) ) )).
fof(s4_funct_2__e9_54_1_1_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k3_yellow_3(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_yellow_3(A,B))))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_ordinal1) & v5_valued_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,u1_struct_0(B),E,F) = k9_yellow_3(A,B,k8_nat_1(u1_struct_0(k3_yellow_3(A,B)),C,k8_nat_1(k4_ordinal1,D,F))) ) ) ) )).
fof(s4_funct_2__e9_67__integr19,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(B))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,u1_struct_0(k4_real_ns1(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(B))))) & ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(k1_numbers,u1_struct_0(k4_real_ns1(B)),D,E) = k1_rlvect_1(k4_real_ns1(B),k7_partfun1(u1_struct_0(k4_real_ns1(B)),C,A),E) ) ) ) )).
fof(s4_funct_2__e9_7__cfdiff_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) & v1_xcmplx_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,C,D) = k10_subset_1(k3_xcmplx_0(k4_complex1(k2_cfdiff_1(A,B)),D),k1_numbers) ) ) ) )).
fof(s4_funct_2__e9_97_3__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,E,F) = k5_mesfunc5(A,B,C,k4_mesfunc5(A,k6_numbers,D,F)) ) ) ) )).
fof(s4_funct_7__e7_100__compos_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_compos_1(A) & v7_ordinal1(B) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) ) => ( ( r1_tarski(a_2_3_compos_1(A,C),k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k2_xcmplx_0(D,B) = k2_xcmplx_0(E,B) => D = E ) ) ) ) => r2_wellord2(a_2_3_compos_1(A,C),a_3_8_compos_1(A,B,C)) ) ) )).
fof(s4_funct_7__e8_176__funct_7,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) ) => ( ( r1_tarski(a_1_6_funct_7(B),k4_ordinal1) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k2_xcmplx_0(C,A) = k2_xcmplx_0(D,A) => C = D ) ) ) ) => r2_wellord2(a_1_6_funct_7(B),a_2_3_funct_7(A,B)) ) ) )).
fof(s4_funct_7__e8_24__necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_tarski(k7_nat_d(A,1),k4_ordinal1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k4_tarski(B,k1_nat_1(B,1)) = k4_tarski(C,k1_nat_1(C,1)) => B = C ) ) ) ) => r2_wellord2(k7_nat_d(A,1),a_1_4_necklace(A)) ) ) )).
fof(s4_funct_7__e8_46__necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_tarski(k7_nat_d(A,1),k4_ordinal1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k4_tarski(k1_nat_1(B,1),B) = k4_tarski(k1_nat_1(C,1),C) => B = C ) ) ) ) => r2_wellord2(k7_nat_d(A,1),a_1_6_necklace(A)) ) ) )).
fof(s4_int_1__e3_55__sin_cos6,axiom,( ( v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers)),k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))))) & ! [A] : ( v1_int_1(A) => ( v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) => ( v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1))),k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1)))))) & v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))),k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1)))))) ) ) ) ) => ! [A] : ( v1_int_1(A) => v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) ) )).
fof(s4_int_1__e3_56__group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( v1_int_1(C) => k5_group_1(A,B,k2_xcmplx_0(C,k5_numbers)) = k6_algstr_0(A,k5_group_1(A,B,C),k5_group_1(A,B,k5_numbers)) ) & ! [D] : ( v1_int_1(D) => ( ! [E] : ( v1_int_1(E) => k5_group_1(A,B,k2_xcmplx_0(E,D)) = k6_algstr_0(A,k5_group_1(A,B,E),k5_group_1(A,B,D)) ) => ( ! [F] : ( v1_int_1(F) => k5_group_1(A,B,k2_xcmplx_0(F,k6_xcmplx_0(D,1))) = k6_algstr_0(A,k5_group_1(A,B,F),k5_group_1(A,B,k6_xcmplx_0(D,1))) ) & ! [G] : ( v1_int_1(G) => k5_group_1(A,B,k2_xcmplx_0(G,k2_xcmplx_0(D,1))) = k6_algstr_0(A,k5_group_1(A,B,G),k5_group_1(A,B,k2_xcmplx_0(D,1))) ) ) ) ) ) => ! [D] : ( v1_int_1(D) => ! [H] : ( v1_int_1(H) => k5_group_1(A,B,k2_xcmplx_0(H,D)) = k6_algstr_0(A,k5_group_1(A,B,H),k5_group_1(A,B,D)) ) ) ) ) )).
fof(s4_int_1__e3_56__sin_cos6,axiom,( ( v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))))) & ! [A] : ( v1_int_1(A) => ( v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) => ( v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1))),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1)))))) & v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1)))))) ) ) ) ) => ! [A] : ( v1_int_1(A) => v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) ) )).
fof(s4_int_1__e3_57__sin_cos6,axiom,( ( v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers),k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))))) & ! [A] : ( v1_int_1(A) => ( v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A),k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) => ( v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1)),k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1)))))) & v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1)),k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1)))))) ) ) ) ) => ! [A] : ( v1_int_1(A) => v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A),k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) ) )).
fof(s4_int_1__e3_58__sin_cos6,axiom,( ( v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers)),k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k5_numbers))))) & ! [A] : ( v1_int_1(A) => ( v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) => ( v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1))),k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k6_xcmplx_0(A,1)))))) & v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1))),k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k2_xcmplx_0(A,1)))))) ) ) ) ) => ! [A] : ( v1_int_1(A) => v5_valued_0(k5_relset_1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)),k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A))))) ) )).
fof(s4_int_1__e3_71__toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k1_funct_1(k12_toprealb,A) = k1_funct_1(k12_toprealb,k2_xcmplx_0(A,k5_numbers)) & ! [B] : ( v1_int_1(B) => ( k1_funct_1(k12_toprealb,A) = k1_funct_1(k12_toprealb,k2_xcmplx_0(A,B)) => ( k1_funct_1(k12_toprealb,A) = k1_funct_1(k12_toprealb,k2_xcmplx_0(A,k6_xcmplx_0(B,1))) & k1_funct_1(k12_toprealb,A) = k1_funct_1(k12_toprealb,k2_xcmplx_0(A,k2_xcmplx_0(B,1))) ) ) ) ) => ! [B] : ( v1_int_1(B) => k1_funct_1(k12_toprealb,A) = k1_funct_1(k12_toprealb,k2_xcmplx_0(A,B)) ) ) ) )).
fof(s4_int_1__e4_33__polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( v1_int_1(C) => k2_polynom8(A,B,k2_xcmplx_0(C,k5_numbers)) = k8_group_1(A,k2_polynom8(A,B,C),k2_polynom8(A,B,k5_numbers)) ) & ! [D] : ( v1_int_1(D) => ( ! [E] : ( v1_int_1(E) => k2_polynom8(A,B,k2_xcmplx_0(E,D)) = k8_group_1(A,k2_polynom8(A,B,E),k2_polynom8(A,B,D)) ) => ( ! [F] : ( v1_int_1(F) => k2_polynom8(A,B,k2_xcmplx_0(F,k6_xcmplx_0(D,1))) = k8_group_1(A,k2_polynom8(A,B,F),k2_polynom8(A,B,k6_xcmplx_0(D,1))) ) & ! [G] : ( v1_int_1(G) => k2_polynom8(A,B,k2_xcmplx_0(G,k2_xcmplx_0(D,1))) = k8_group_1(A,k2_polynom8(A,B,G),k2_polynom8(A,B,k2_xcmplx_0(D,1))) ) ) ) ) ) => ! [D] : ( v1_int_1(D) => ! [H] : ( v1_int_1(H) => k2_polynom8(A,B,k2_xcmplx_0(H,D)) = k8_group_1(A,k2_polynom8(A,B,H),k2_polynom8(A,B,D)) ) ) ) ) )).
fof(s4_int_1__e4_44_2_6__zmodul04,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) & m1_zmodul01(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_numbers) ) => ( ( r2_tarski(k3_xcmplx_0(k5_numbers,D),a_3_2_zmodul04(A,B,C)) & ! [E] : ( v1_int_1(E) => ( r2_tarski(k3_xcmplx_0(E,D),a_3_2_zmodul04(A,B,C)) => ( r2_tarski(k3_xcmplx_0(k6_xcmplx_0(E,1),D),a_3_2_zmodul04(A,B,C)) & r2_tarski(k3_xcmplx_0(k2_xcmplx_0(E,1),D),a_3_2_zmodul04(A,B,C)) ) ) ) ) => ! [E] : ( v1_int_1(E) => r2_tarski(k3_xcmplx_0(E,D),a_3_2_zmodul04(A,B,C)) ) ) ) )).
fof(s4_msafree4__e7_114__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) & v1_relat_1(D) & v4_relat_1(D,k1_msaterm(A,B)) & v1_funct_1(D) & v1_partfun1(D,k1_msaterm(A,B)) & v1_relat_1(E) & v4_relat_1(E,k1_msaterm(A,B)) & v1_funct_1(E) & v1_partfun1(E,k1_msaterm(A,B)) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,F)) => k1_funct_1(D,k1_trees_4(k4_tarski(G,F))) = k1_trees_4(k4_tarski(k1_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,F),G),F)) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_msaterm(G,A,B,k2_msaterm(A,B,F)) => k1_msafree4(k1_msaterm(A,B),D,k6_msaterm(A,B,k2_msaterm(A,B,F),G)) = k4_trees_4(k2_msaterm(A,k7_funcop_1(u1_struct_0(A),k4_ordinal1),F),k3_relat_1(G,D)) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,F)) => k1_funct_1(E,k1_trees_4(k4_tarski(G,F))) = k1_trees_4(k4_tarski(k1_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,F),G),F)) ) ) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_msaterm(G,A,B,k2_msaterm(A,B,F)) => k1_msafree4(k1_msaterm(A,B),E,k6_msaterm(A,B,k2_msaterm(A,B,F),G)) = k4_trees_4(k2_msaterm(A,k7_funcop_1(u1_struct_0(A),k4_ordinal1),F),k3_relat_1(G,E)) ) ) ) => r8_pboole(k1_msaterm(A,B),D,E) ) ) )).
fof(s4_msafree5__e4_164__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v5_msafree5(D) & m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,B)) & v8_msafree5(F,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) & v1_msafree5(G,E) & m1_msafree4(G,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,C)) & v8_msafree5(H,A,D,k1_msafree3(A,D),C,G) & v9_msafree5(H,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( ( v9_msafree5(k6_msafree5(A,D,C,G),A,D,k1_msafree3(A,D),B,E) => ( v8_msafree5(k9_trees_4(k6_msafree5(A,D,C,G),F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),A,D,k1_msafree3(A,D),B,E) & m1_subset_1(k9_trees_4(k6_msafree5(A,D,C,G),F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) ) & ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ! [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,I,k1_msafree3(A,D))) => ( ( v11_msafree5(J,A,I,C,D,G) & ( v9_msafree5(k17_msafree5(A,I,C,D,G,J),A,D,k1_msafree3(A,D),B,E) => ( v8_msafree5(k9_trees_4(k17_msafree5(A,I,C,D,G,J),F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),A,D,k1_msafree3(A,D),B,E) & m1_subset_1(k9_trees_4(k17_msafree5(A,I,C,D,G,J),F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) ) ) => ! [K] : ( ( v8_msafree5(K,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( K = k7_msafree5(A,D,I,J) => ( v9_msafree5(K,A,D,k1_msafree3(A,D),B,E) => ( v8_msafree5(k9_trees_4(K,F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),A,D,k1_msafree3(A,D),B,E) & m1_subset_1(k9_trees_4(K,F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) ) ) ) ) ) ) ) => ( v9_msafree5(H,A,D,k1_msafree3(A,D),B,E) => ( v8_msafree5(k9_trees_4(H,F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),A,D,k1_msafree3(A,D),B,E) & m1_subset_1(k9_trees_4(H,F,k1_domain_1(k1_msafree4(u1_struct_0(A),D,C),u1_struct_0(A),G,C)),k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) ) ) ) )).
fof(s4_msafree5__e4_205__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v5_msafree5(C) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v8_msafree5(E,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( ( r1_rewrite1(k3_msualg_6(A),B,k3_msafree5(A,k1_msafree3(A,C),k6_msafree5(A,C,B,D))) & ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,F,k1_msafree3(A,C))) => ( ( v11_msafree5(G,A,F,B,C,D) & r1_rewrite1(k3_msualg_6(A),B,k3_msafree5(A,k1_msafree3(A,C),k17_msafree5(A,F,B,C,D,G))) ) => ! [H] : ( ( v8_msafree5(H,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( H = k7_msafree5(A,C,F,G) => r1_rewrite1(k3_msualg_6(A),B,k3_msafree5(A,k1_msafree3(A,C),H)) ) ) ) ) ) ) => r1_rewrite1(k3_msualg_6(A),B,k3_msafree5(A,k1_msafree3(A,C),E)) ) ) )).
fof(s4_msafree5__e5_216__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_msafree4(E,u1_struct_0(B),D,k1_msafree4(u1_struct_0(B),D,C)) & m1_subset_1(F,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) & v8_msafree5(G,B,D,k1_msafree3(B,D),C,E) & m1_subset_1(G,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ( ( ! [H] : ( ( v8_msafree5(H,B,D,k1_msafree3(B,D),C,E) & m1_subset_1(H,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ( H = k6_msafree5(B,D,C,E) => r1_ordinal1(k4_card_1(k10_relat_1(F,A)),k4_card_1(k10_relat_1(k18_msafree5(B,D,C,E,H,F),A))) ) ) & ! [I] : ( m1_subset_1(I,u4_struct_0(B)) => ! [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,I,k1_msafree3(B,D))) => ( ( v11_msafree5(J,B,I,C,D,E) & ! [K] : ( ( v8_msafree5(K,B,D,k1_msafree3(B,D),C,E) & m1_subset_1(K,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ( K = k17_msafree5(B,I,C,D,E,J) => r1_ordinal1(k4_card_1(k10_relat_1(F,A)),k4_card_1(k10_relat_1(k18_msafree5(B,D,C,E,K,F),A))) ) ) ) => ! [L] : ( ( v8_msafree5(L,B,D,k1_msafree3(B,D),C,E) & m1_subset_1(L,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ( L = k7_msafree5(B,D,I,J) => ! [M] : ( ( v8_msafree5(M,B,D,k1_msafree3(B,D),C,E) & m1_subset_1(M,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ( M = L => r1_ordinal1(k4_card_1(k10_relat_1(F,A)),k4_card_1(k10_relat_1(k18_msafree5(B,D,C,E,M,F),A))) ) ) ) ) ) ) ) ) => ! [N] : ( ( v8_msafree5(N,B,D,k1_msafree3(B,D),C,E) & m1_subset_1(N,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ( N = G => r1_ordinal1(k4_card_1(k10_relat_1(F,A)),k4_card_1(k10_relat_1(k18_msafree5(B,D,C,E,N,F),A))) ) ) ) ) )).
fof(s4_msafree5__e6_170__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v5_msafree5(C) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & v5_msafree4(E,A,C) & v6_msafree4(E,A,C) & v7_msafree4(E,A,C) & v8_msafree4(E,A,C) & l3_msualg_1(E,A) & v8_msafree5(F,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( ( k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,k6_msafree5(A,C,B,D),G)) = k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,k6_msafree5(A,C,B,D),k1_msafree5(A,C,E,k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),G)))) & ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m1_msafree4(I,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,H,k1_msafree3(A,C))) => ( ( v11_msafree5(I,A,H,B,C,D) & k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,k17_msafree5(A,H,B,C,D,I),G)) = k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,k17_msafree5(A,H,B,C,D,I),k1_msafree5(A,C,E,k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),G)))) ) => ! [J] : ( ( v8_msafree5(J,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(J,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( J = k7_msafree5(A,C,H,I) => k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,J,G)) = k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,J,k1_msafree5(A,C,E,k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),G)))) ) ) ) ) ) ) => k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,F,G)) = k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),k18_msafree5(A,C,B,D,F,k1_msafree5(A,C,E,k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),G)))) ) ) )).
fof(s4_msafree5__e6_250__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & v8_msafree5(F,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( ( ! [G] : ( ( v8_msafree5(G,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( G = k6_msafree5(A,C,B,D) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(G)) => ( k1_funct_1(G,H) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) => k18_msafree5(A,C,B,D,G,E) = k7_trees_2(G,H,E) ) ) ) ) & ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ! [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))),k3_msualg_1(A,I,k1_msafree3(A,C))) => ( ( v11_msafree5(J,A,I,B,C,D) & ! [K] : ( ( v8_msafree5(K,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( K = k17_msafree5(A,I,B,C,D,J) => ! [L] : ( m1_trees_1(L,k9_xtuple_0(K)) => ( k1_funct_1(K,L) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) => k18_msafree5(A,C,B,D,K,E) = k7_trees_2(K,L,E) ) ) ) ) ) => ! [M] : ( ( v8_msafree5(M,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(M,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( M = k7_msafree5(A,C,I,J) => ! [N] : ( ( v8_msafree5(N,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(N,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( N = M => ! [O] : ( m1_trees_1(O,k9_xtuple_0(N)) => ( k1_funct_1(N,O) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) => k18_msafree5(A,C,B,D,N,E) = k7_trees_2(N,O,E) ) ) ) ) ) ) ) ) ) ) => ! [P] : ( ( v8_msafree5(P,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(P,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( P = F => ! [Q] : ( m1_trees_1(Q,k9_xtuple_0(P)) => ( k1_funct_1(P,Q) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) => k18_msafree5(A,C,B,D,P,E) = k7_trees_2(P,Q,E) ) ) ) ) ) ) )).
fof(s4_msafree5__e8_218__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,B)) & v8_msafree5(F,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) & m1_msafree4(G,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,C)) & v8_msafree5(H,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) & m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( ! [J] : ( ( v8_msafree5(J,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(J,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ! [K] : ( ( v8_msafree5(K,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(K,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( J = k6_msafree5(A,D,C,G) & K = k18_msafree5(A,D,C,G,J,F) ) => k18_msafree5(A,D,B,E,K,I) = k18_msafree5(A,D,C,G,J,k18_msafree5(A,D,B,E,F,I)) ) ) ) & ! [L] : ( m1_subset_1(L,u4_struct_0(A)) => ! [M] : ( m1_msafree4(M,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,L,k1_msafree3(A,D))) => ( ( v11_msafree5(M,A,L,C,D,G) & ! [N] : ( ( v8_msafree5(N,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(N,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ! [O] : ( ( v8_msafree5(O,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(O,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( N = k17_msafree5(A,L,C,D,G,M) & O = k18_msafree5(A,D,C,G,N,F) ) => k18_msafree5(A,D,B,E,O,I) = k18_msafree5(A,D,C,G,N,k18_msafree5(A,D,B,E,F,I)) ) ) ) ) => ! [P] : ( ( v8_msafree5(P,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(P,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( P = k7_msafree5(A,D,L,M) => ! [Q] : ( ( v8_msafree5(Q,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(Q,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ! [R] : ( ( v8_msafree5(R,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(R,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( Q = P & R = k18_msafree5(A,D,C,G,Q,F) ) => k18_msafree5(A,D,B,E,R,I) = k18_msafree5(A,D,C,G,Q,k18_msafree5(A,D,B,E,F,I)) ) ) ) ) ) ) ) ) ) => ! [S] : ( ( v8_msafree5(S,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(S,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ! [T] : ( ( v8_msafree5(T,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(T,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( S = H & T = k18_msafree5(A,D,C,G,S,F) ) => k18_msafree5(A,D,B,E,T,I) = k18_msafree5(A,D,C,G,S,k18_msafree5(A,D,B,E,F,I)) ) ) ) ) ) )).
fof(s4_msualg_6__e5_46__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( ( ! [E] : ( m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v3_msualg_6(E,A,B) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)))) ) => ( ( r1_rewrite1(k3_msualg_6(A),F,G) & m2_msualg_6(H,A,B,F,G) ) => ! [I] : ! [J] : ( r2_hidden(k4_tarski(I,J),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),E,F)) => r2_hidden(k4_tarski(k1_funct_1(H,I),k1_funct_1(H,J)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),E,G)) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),F)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),F)))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)))) ) => ( ( r1_rewrite1(k3_msualg_6(A),E,F) & m2_msualg_6(H,A,B,E,F) & r1_rewrite1(k3_msualg_6(A),F,G) & m2_msualg_6(I,A,B,F,G) ) => ( r1_rewrite1(k3_msualg_6(A),E,G) & m2_msualg_6(k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G),H,I),A,B,E,G) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),E,E) & m2_msualg_6(k6_partfun1(k1_funct_1(u3_msualg_1(A,B),E)),A,B,E,E) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)))) & ? [J] : ( m1_subset_1(J,k1_funct_1(u3_msualg_1(A,B),H)) & ? [K] : ( m1_subset_1(K,k1_funct_1(u3_msualg_1(A,B),H)) & r1_rewrite1(k3_msualg_6(A),H,E) & m2_msualg_6(I,A,B,H,E) & r2_hidden(k4_tarski(J,K),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,H)) & F = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,J) & G = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),I,K) ) ) ) ) ) ) ) ) ) => ( v3_msualg_6(D,A,B) & r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ( v3_msualg_6(E,A,B) & r2_pboole(u1_struct_0(A),C,E) ) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) )).
fof(s4_msualg_6__e5_50__msualg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( ( ! [E] : ( m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( v4_msualg_6(E,A,B) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)))) ) => ( ( F = G & ? [I] : ( m1_msualg_6(I,A,B) & H = k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),I,F) ) ) => ! [J] : ! [K] : ( r2_hidden(k4_tarski(J,K),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),E,F)) => r2_hidden(k4_tarski(k1_funct_1(H,J),k1_funct_1(H,K)),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),E,G)) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),F)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),F)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G)))) ) => ( ( E = F & ? [L] : ( m1_msualg_6(L,A,B) & H = k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),L,E) ) & F = G & ? [M] : ( m1_msualg_6(M,A,B) & J = k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),M,F) ) ) => ( E = G & ? [N] : ( m1_msualg_6(N,A,B) & k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),G),H,J) = k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),N,E) ) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E = E & ? [O] : ( m1_msualg_6(O,A,B) & k6_partfun1(k1_funct_1(u3_msualg_1(A,B),E)) = k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),O,E) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),E)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( r2_hidden(k4_tarski(F,G),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,E)) <=> ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E)))) & ? [K] : ( m1_subset_1(K,k1_funct_1(u3_msualg_1(A,B),H)) & ? [P] : ( m1_subset_1(P,k1_funct_1(u3_msualg_1(A,B),H)) & H = E & ? [Q] : ( m1_msualg_6(Q,A,B) & J = k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),Q,H) ) & r2_hidden(k4_tarski(K,P),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,H)) & F = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),J,K) & G = k3_funct_2(k1_funct_1(u3_msualg_1(A,B),H),k1_funct_1(u3_msualg_1(A,B),E),J,P) ) ) ) ) ) ) ) ) ) => ( v4_msualg_6(D,A,B) & r2_pboole(u1_struct_0(A),C,D) & ! [E] : ( m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) => ( ( v4_msualg_6(E,A,B) & r2_pboole(u1_struct_0(A),C,E) ) => r2_pboole(u1_struct_0(A),D,E) ) ) ) ) ) )).
fof(s4_nat_1__e10_97__cqc_the2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_finseq_1(D,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) ) => ( ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(D)) ) => ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ( G = k1_xtuple_0(k1_funct_1(D,F)) => r3_cqc_the1(A,B,k8_cqc_lang(A,C,G)) ) ) ) ) ) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ( H = k1_xtuple_0(k1_funct_1(D,E)) => r3_cqc_the1(A,B,k8_cqc_lang(A,C,H)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ( I = k1_xtuple_0(k1_funct_1(D,E)) => r3_cqc_the1(A,B,k8_cqc_lang(A,C,I)) ) ) ) ) ) ) )).
fof(s4_nat_1__e12_111__chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v6_chord(A) & v5_glib_001(B,A) & m3_glib_001(B,A) & v5_glib_001(D,A) & m3_glib_001(D,A) ) => ( ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => ( ( r1_xxreal_0(4,k3_xcmplx_0(2,F)) & r1_xxreal_0(k3_xcmplx_0(2,F),k1_nat_1(k3_finseq_1(B),1)) ) => ! [G] : ( ( v7_ordinal1(G) & ~ v1_abian(G) ) => ( k2_xcmplx_0(G,k3_xcmplx_0(2,F)) = k1_nat_1(k3_finseq_1(B),2) => ! [H] : ~ r1_glib_000(A,k1_funct_1(D,G),C,H) ) ) ) ) ) => ( ( r1_xxreal_0(4,k3_xcmplx_0(2,E)) & r1_xxreal_0(k3_xcmplx_0(2,E),k1_nat_1(k3_finseq_1(B),1)) ) => ! [I] : ( ( v7_ordinal1(I) & ~ v1_abian(I) ) => ( k2_xcmplx_0(I,k3_xcmplx_0(2,E)) = k1_nat_1(k3_finseq_1(B),2) => ! [J] : ~ r1_glib_000(A,k1_funct_1(D,I),C,J) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(4,k3_xcmplx_0(2,E)) & r1_xxreal_0(k3_xcmplx_0(2,E),k1_nat_1(k3_finseq_1(B),1)) ) => ! [K] : ( ( v7_ordinal1(K) & ~ v1_abian(K) ) => ( k2_xcmplx_0(K,k3_xcmplx_0(2,E)) = k1_nat_1(k3_finseq_1(B),2) => ! [L] : ~ r1_glib_000(A,k1_funct_1(D,K),C,L) ) ) ) ) ) ) )).
fof(s4_nat_1__e13_57_1_1_1_1_1__group_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) & m2_finseq_1(E,u1_struct_0(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(F,G) => ( ( r1_xxreal_0(G,k2_nat_1(2,D)) & k5_int_1(G,2) = k5_numbers ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( H = k2_partfun1(k4_ordinal1,u1_struct_0(A),E,k2_finseq_1(G)) => k3_group_4(A,H) = k5_group_1(A,k7_partfun1(u1_struct_0(A),B,C),k4_int_1(G,2)) ) ) ) ) ) => ( ( r1_xxreal_0(F,k2_nat_1(2,D)) & k5_int_1(F,2) = k5_numbers ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( I = k2_partfun1(k4_ordinal1,u1_struct_0(A),E,k2_finseq_1(F)) => k3_group_4(A,I) = k5_group_1(A,k7_partfun1(u1_struct_0(A),B,C),k4_int_1(F,2)) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k2_nat_1(2,D)) & k5_int_1(F,2) = k5_numbers ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( J = k2_partfun1(k4_ordinal1,u1_struct_0(A),E,k2_finseq_1(F)) => k3_group_4(A,J) = k5_group_1(A,k7_partfun1(u1_struct_0(A),B,C),k4_int_1(F,2)) ) ) ) ) ) ) )).
fof(s4_nat_1__e13_57_1_1_1_1_2__group_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) & v1_int_1(D) & m2_finseq_1(E,u1_struct_0(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(F,G) => ( ( r1_xxreal_0(G,k2_nat_1(2,k1_int_2(D))) & k5_int_1(G,2) = k5_numbers ) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ( H = k2_partfun1(k4_ordinal1,u1_struct_0(A),E,k2_finseq_1(G)) => k3_group_4(A,H) = k2_group_1(A,k5_group_1(A,k7_partfun1(u1_struct_0(A),B,C),k4_int_1(G,2))) ) ) ) ) ) => ( ( r1_xxreal_0(F,k2_nat_1(2,k1_int_2(D))) & k5_int_1(F,2) = k5_numbers ) => ! [I] : ( m2_finseq_1(I,u1_struct_0(A)) => ( I = k2_partfun1(k4_ordinal1,u1_struct_0(A),E,k2_finseq_1(F)) => k3_group_4(A,I) = k2_group_1(A,k5_group_1(A,k7_partfun1(u1_struct_0(A),B,C),k4_int_1(F,2))) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k2_nat_1(2,k1_int_2(D))) & k5_int_1(F,2) = k5_numbers ) => ! [J] : ( m2_finseq_1(J,u1_struct_0(A)) => ( J = k2_partfun1(k4_ordinal1,u1_struct_0(A),E,k2_finseq_1(F)) => k3_group_4(A,J) = k2_group_1(A,k5_group_1(A,k7_partfun1(u1_struct_0(A),B,C),k4_int_1(F,2))) ) ) ) ) ) ) )).
fof(s4_nat_1__e23_61_1_1_2__uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => v1_int_1(k1_funct_1(k5_uniroots(A),C)) ) ) => v1_int_1(k1_funct_1(k5_uniroots(A),B)) ) ) => ! [B] : ( v7_ordinal1(B) => v1_int_1(k1_funct_1(k5_uniroots(A),B)) ) ) ) )).
fof(s4_nat_1__e2_11__pythtrip,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( k2_nat_1(C,D) = B & v1_pythtrip(k2_nat_1(C,D)) & r1_int_2(C,D) ) => ( v1_pythtrip(C) & v1_pythtrip(D) ) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( k2_nat_1(E,F) = A & v1_pythtrip(k2_nat_1(E,F)) & r1_int_2(E,F) ) => ( v1_pythtrip(E) & v1_pythtrip(F) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( k2_nat_1(G,H) = A & v1_pythtrip(k2_nat_1(G,H)) & r1_int_2(G,H) ) => ( v1_pythtrip(G) & v1_pythtrip(H) ) ) ) ) ) )).
fof(s4_nat_1__e2_11__zfmodel1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( ( k3_finseq_1(E) = B & r1_zf_model(D,F,E) ) => ( r2_tarski(C,k2_zf_model(E)) | r1_zf_model(D,F,k7_zf_lang(C,E)) ) ) ) ) ) ) ) ) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ! [H] : ( ~ v1_xboole_0(H) => ! [I] : ( ( v1_zf_lang(I) & m2_finseq_1(I,k4_ordinal1) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_zf_lang,H) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,H))) ) => ( ( k3_finseq_1(I) = A & r1_zf_model(H,J,I) ) => ( r2_tarski(G,k2_zf_model(I)) | r1_zf_model(H,J,k7_zf_lang(G,I)) ) ) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [K] : ( m2_subset_1(K,k4_ordinal1,k1_zf_lang) => ! [L] : ( ~ v1_xboole_0(L) => ! [M] : ( ( v1_zf_lang(M) & m2_finseq_1(M,k4_ordinal1) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k1_zf_lang,L) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,L))) ) => ( ( k3_finseq_1(M) = A & r1_zf_model(L,N,M) ) => ( r2_tarski(K,k2_zf_model(M)) | r1_zf_model(L,N,k7_zf_lang(K,M)) ) ) ) ) ) ) ) )).
fof(s4_nat_1__e2_19__pythtrip,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_nat_d(B,C) <=> r1_nat_d(k1_pepin(B),k1_pepin(C)) ) ) ) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_nat_d(A,D) <=> r1_nat_d(k1_pepin(A),k1_pepin(D)) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_nat_d(A,E) <=> r1_nat_d(k1_pepin(A),k1_pepin(E)) ) ) ) )).
fof(s4_nat_1__e2_25__hilbert2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(C) = B & C = k7_finseq_1(D,E) ) => C = D ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k1_hilbert1) => ! [G] : ( m1_subset_1(G,k1_hilbert1) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ( k3_finseq_1(F) = A & F = k7_finseq_1(G,H) ) => F = G ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [I] : ( m1_subset_1(I,k1_hilbert1) => ! [J] : ( m1_subset_1(J,k1_hilbert1) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ( ( k3_finseq_1(I) = A & I = k7_finseq_1(J,K) ) => I = J ) ) ) ) ) )).
fof(s4_nat_1__e2_29__nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( k3_finseq_1(D) = C & v1_int_2(k1_nat_1(A,2)) & r1_tarski(k1_rvsum_1(D),k2_finseq_1(A)) & v2_funct_1(D) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k1_rvsum_1(D)) & E != 1 & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k1_rvsum_1(D)) & F != 1 & F != E & k4_nat_d(k3_xcmplx_0(E,F),k1_nat_1(A,2)) = 1 ) ) ) ) ) => k4_nat_d(k2_wsierp_1(D),k1_nat_1(A,2)) = 1 ) ) ) ) => ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ( ( k3_finseq_1(G) = B & v1_int_2(k1_nat_1(A,2)) & r1_tarski(k1_rvsum_1(G),k2_finseq_1(A)) & v2_funct_1(G) & ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k1_rvsum_1(G)) & H != 1 & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k1_rvsum_1(G)) & I != 1 & I != H & k4_nat_d(k3_xcmplx_0(H,I),k1_nat_1(A,2)) = 1 ) ) ) ) ) => k4_nat_d(k2_wsierp_1(G),k1_nat_1(A,2)) = 1 ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [J] : ( m2_finseq_1(J,k4_ordinal1) => ( ( k3_finseq_1(J) = B & v1_int_2(k1_nat_1(A,2)) & r1_tarski(k1_rvsum_1(J),k2_finseq_1(A)) & v2_funct_1(J) & ! [K] : ( v7_ordinal1(K) => ~ ( r2_tarski(K,k1_rvsum_1(J)) & K != 1 & ! [L] : ( v7_ordinal1(L) => ~ ( r2_tarski(L,k1_rvsum_1(J)) & L != 1 & L != K & k4_nat_d(k3_xcmplx_0(K,L),k1_nat_1(A,2)) = 1 ) ) ) ) ) => k4_nat_d(k2_wsierp_1(J),k1_nat_1(A,2)) = 1 ) ) ) ) ) )).
fof(s4_nat_1__e2_2__fib_num,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_int_2(B,C) = 1 => k3_int_2(B,k2_nat_1(C,D)) = k3_int_2(B,D) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( k3_int_2(A,E) = 1 => k3_int_2(A,k2_nat_1(E,F)) = k3_int_2(A,F) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( k3_int_2(A,G) = 1 => k3_int_2(A,k2_nat_1(G,H)) = k3_int_2(A,H) ) ) ) ) )).
fof(s4_nat_1__e2_30__polynom4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,F) = E => k2_polynom4(A,k12_polynom3(A,k1_polynom4(A,B),F),C) = k8_group_1(A,k2_polynom4(A,k1_polynom4(A,B),C),k2_polynom4(A,F,C)) ) ) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,G) = D => k2_polynom4(A,k12_polynom3(A,k1_polynom4(A,B),G),C) = k8_group_1(A,k2_polynom4(A,k1_polynom4(A,B),C),k2_polynom4(A,G,C)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,H) = D => k2_polynom4(A,k12_polynom3(A,k1_polynom4(A,B),H),C) = k8_group_1(A,k2_polynom4(A,k1_polynom4(A,B),C),k2_polynom4(A,H,C)) ) ) ) ) ) )).
fof(s4_nat_1__e2_31__polynom4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,F) = E => k2_polynom4(A,k12_polynom3(A,F,B),C) = k8_group_1(A,k2_polynom4(A,F,C),k2_polynom4(A,B,C)) ) ) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,G) = D => k2_polynom4(A,k12_polynom3(A,G,B),C) = k8_group_1(A,k2_polynom4(A,G,C),k2_polynom4(A,B,C)) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(H,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,H) = D => k2_polynom4(A,k12_polynom3(A,H,B),C) = k8_group_1(A,k2_polynom4(A,H,C),k2_polynom4(A,B,C)) ) ) ) ) ) )).
fof(s4_nat_1__e2_33_1__cqc_the1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m2_finseq_1(C,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) ) => ( ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => r2_hidden(k1_xtuple_0(k1_funct_1(C,E)),k1_cqc_the1(A,B)) ) ) ) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r2_hidden(k1_xtuple_0(k1_funct_1(C,D)),k1_cqc_the1(A,B)) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r2_hidden(k1_xtuple_0(k1_funct_1(C,D)),k1_cqc_the1(A,B)) ) ) ) ) )).
fof(s4_nat_1__e2_35_1__bcialg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_ordinal1(C) ) => ( ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ( r2_tarski(k2_bcialg_6(A,B,E),k4_bcialg_1(A)) => r1_int_1(C,E) ) ) ) => ( r2_tarski(k2_bcialg_6(A,B,D),k4_bcialg_1(A)) => r1_int_1(C,D) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k2_bcialg_6(A,B,D),k4_bcialg_1(A)) => r1_int_1(C,D) ) ) ) ) )).
fof(s4_nat_1__e2_38__nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,C,k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) ) => ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(C)) ) => ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(C)) ) => ( ( G = k1_tarski(D) & B = k4_card_1(H) ) => k2_uproots(k8_mcart_1(C,C,G,H),k1_nat_5(k2_zfmisc_1(C,C),k1_partfun1(k2_zfmisc_1(C,C),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k16_funct_3(C,C,k4_ordinal1,k4_ordinal1,E,F),k24_binop_2),k8_mcart_1(C,C,G,H))) = k3_xcmplx_0(k1_funct_1(E,D),k2_uproots(H,k1_nat_5(C,F,H))) ) ) ) ) ) ) ) => ! [I] : ! [J] : ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,I,k4_ordinal1) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(I,k4_ordinal1))) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,I,k4_ordinal1) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(I,k4_ordinal1))) ) => ! [M] : ( ( v1_finset_1(M) & m1_subset_1(M,k1_zfmisc_1(I)) ) => ! [N] : ( ( v1_finset_1(N) & m1_subset_1(N,k1_zfmisc_1(I)) ) => ( ( M = k1_tarski(J) & A = k4_card_1(N) ) => k2_uproots(k8_mcart_1(I,I,M,N),k1_nat_5(k2_zfmisc_1(I,I),k1_partfun1(k2_zfmisc_1(I,I),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k16_funct_3(I,I,k4_ordinal1,k4_ordinal1,K,L),k24_binop_2),k8_mcart_1(I,I,M,N))) = k3_xcmplx_0(k1_funct_1(K,J),k2_uproots(N,k1_nat_5(I,L,N))) ) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [O] : ! [P] : ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,O,k4_ordinal1) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(O,k4_ordinal1))) ) => ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,O,k4_ordinal1) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(O,k4_ordinal1))) ) => ! [S] : ( ( v1_finset_1(S) & m1_subset_1(S,k1_zfmisc_1(O)) ) => ! [T] : ( ( v1_finset_1(T) & m1_subset_1(T,k1_zfmisc_1(O)) ) => ( ( S = k1_tarski(P) & A = k4_card_1(T) ) => k2_uproots(k8_mcart_1(O,O,S,T),k1_nat_5(k2_zfmisc_1(O,O),k1_partfun1(k2_zfmisc_1(O,O),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k16_funct_3(O,O,k4_ordinal1,k4_ordinal1,Q,R),k24_binop_2),k8_mcart_1(O,O,S,T))) = k3_xcmplx_0(k1_funct_1(Q,P),k2_uproots(T,k1_nat_5(O,R,T))) ) ) ) ) ) ) )).
fof(s4_nat_1__e2_39__nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) ) => ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(C)) ) => ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(C)) ) => ( B = k4_card_1(F) => k2_uproots(k8_mcart_1(C,C,F,G),k1_nat_5(k2_zfmisc_1(C,C),k1_partfun1(k2_zfmisc_1(C,C),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k16_funct_3(C,C,k4_ordinal1,k4_ordinal1,D,E),k24_binop_2),k8_mcart_1(C,C,F,G))) = k3_xcmplx_0(k2_uproots(F,k1_nat_5(C,D,F)),k2_uproots(G,k1_nat_5(C,E,G))) ) ) ) ) ) ) ) => ! [H] : ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,H,k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(H,k4_ordinal1))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,H,k4_ordinal1) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(H,k4_ordinal1))) ) => ! [K] : ( ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(H)) ) => ! [L] : ( ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(H)) ) => ( A = k4_card_1(K) => k2_uproots(k8_mcart_1(H,H,K,L),k1_nat_5(k2_zfmisc_1(H,H),k1_partfun1(k2_zfmisc_1(H,H),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k16_funct_3(H,H,k4_ordinal1,k4_ordinal1,I,J),k24_binop_2),k8_mcart_1(H,H,K,L))) = k3_xcmplx_0(k2_uproots(K,k1_nat_5(H,I,K)),k2_uproots(L,k1_nat_5(H,J,L))) ) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [M] : ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,M,k4_ordinal1) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(M,k4_ordinal1))) ) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,M,k4_ordinal1) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(M,k4_ordinal1))) ) => ! [P] : ( ( v1_finset_1(P) & m1_subset_1(P,k1_zfmisc_1(M)) ) => ! [Q] : ( ( v1_finset_1(Q) & m1_subset_1(Q,k1_zfmisc_1(M)) ) => ( A = k4_card_1(P) => k2_uproots(k8_mcart_1(M,M,P,Q),k1_nat_5(k2_zfmisc_1(M,M),k1_partfun1(k2_zfmisc_1(M,M),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k4_ordinal1,k16_funct_3(M,M,k4_ordinal1,k4_ordinal1,N,O),k24_binop_2),k8_mcart_1(M,M,P,Q))) = k3_xcmplx_0(k2_uproots(P,k1_nat_5(M,N,P)),k2_uproots(Q,k1_nat_5(M,O,Q))) ) ) ) ) ) ) )).
fof(s4_nat_1__e2_52__nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => r1_xxreal_0(k2_wsierp_1(k14_finseq_1(a_1_2_nat_4(B))),k2_power(4,B)) ) ) => r1_xxreal_0(k2_wsierp_1(k14_finseq_1(a_1_2_nat_4(A))),k2_power(4,A)) ) ) => ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k2_wsierp_1(k14_finseq_1(a_1_2_nat_4(A))),k2_power(4,A)) ) )).
fof(s4_nat_1__e2_54__neckla_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v3_necklace(C) & l1_orders_2(C) ) => ( ( k1_card_1(u1_struct_0(C)) = B & r2_tarski(C,k4_neckla_2) ) => r2_tarski(k3_necklace(C),k4_neckla_2) ) ) ) ) => ! [D] : ( ( v3_necklace(D) & l1_orders_2(D) ) => ( ( k1_card_1(u1_struct_0(D)) = A & r2_tarski(D,k4_neckla_2) ) => r2_tarski(k3_necklace(D),k4_neckla_2) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [E] : ( ( v3_necklace(E) & l1_orders_2(E) ) => ( ( k1_card_1(u1_struct_0(E)) = A & r2_tarski(E,k4_neckla_2) ) => r2_tarski(k3_necklace(E),k4_neckla_2) ) ) ) )).
fof(s4_nat_1__e2_56__algstr_4,axiom,( ! [A] : ! [B] : ( ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(C,D) => ( r1_tarski(A,B) => r1_tarski(k11_algstr_4(A,D),k11_algstr_4(B,D)) ) ) ) => ( r1_tarski(A,B) => r1_tarski(k11_algstr_4(A,C),k11_algstr_4(B,C)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_tarski(A,B) => r1_tarski(k11_algstr_4(A,C),k11_algstr_4(B,C)) ) ) ) )).
fof(s4_nat_1__e2_5__hurwitz2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(C,D) => ( v1_abian(D) => k1_binop_1(k4_group_1(A),k4_algstr_0(A,B),D) = k1_binop_1(k4_group_1(A),B,D) ) ) ) => ( v1_abian(C) => k1_binop_1(k4_group_1(A),k4_algstr_0(A,B),C) = k1_binop_1(k4_group_1(A),B,C) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( v1_abian(C) => k1_binop_1(k4_group_1(A),k4_algstr_0(A,B),C) = k1_binop_1(k4_group_1(A),B,C) ) ) ) ) )).
fof(s4_nat_1__e2_61__hurwitz2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(C,k1_complfld) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( v6_hurwitz2(C) & k1_algseq_1(k1_complfld,C) = B ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => ( k3_complex1(D) = k5_ordinal1 => k4_complex1(k2_polynom4(k1_complfld,k1_hurwitz2(k1_complfld,C),D)) = k5_ordinal1 ) ) ) ) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(E,k1_complfld) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( v6_hurwitz2(E) & k1_algseq_1(k1_complfld,E) = A ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_complfld)) => ( k3_complex1(F) = k5_ordinal1 => k4_complex1(k2_polynom4(k1_complfld,k1_hurwitz2(k1_complfld,E),F)) = k5_ordinal1 ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(G,k1_complfld) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( v6_hurwitz2(G) & k1_algseq_1(k1_complfld,G) = A ) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_complfld)) => ( k3_complex1(H) = k5_ordinal1 => k4_complex1(k2_polynom4(k1_complfld,k1_hurwitz2(k1_complfld,G),H)) = k5_ordinal1 ) ) ) ) ) )).
fof(s4_nat_1__e2_62__hurwitz2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(C,k1_complfld) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( v6_hurwitz2(C) & k1_algseq_1(k1_complfld,C) = B ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => ( k3_complex1(D) = k5_ordinal1 => k3_complex1(k2_polynom4(k1_complfld,k2_hurwitz2(k1_complfld,C),D)) = k5_ordinal1 ) ) ) ) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(E,k1_complfld) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( v6_hurwitz2(E) & k1_algseq_1(k1_complfld,E) = A ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_complfld)) => ( k3_complex1(F) = k5_ordinal1 => k3_complex1(k2_polynom4(k1_complfld,k2_hurwitz2(k1_complfld,E),F)) = k5_ordinal1 ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(G,k1_complfld) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => ( ( v6_hurwitz2(G) & k1_algseq_1(k1_complfld,G) = A ) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_complfld)) => ( k3_complex1(H) = k5_ordinal1 => k3_complex1(k2_polynom4(k1_complfld,k2_hurwitz2(k1_complfld,G),H)) = k5_ordinal1 ) ) ) ) ) )).
fof(s4_nat_1__e2_62__neckla_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & v1_orders_2(C) & v1_necklace(C) & v3_necklace(C) & l1_orders_2(C) ) => ( ( v1_neckla_2(C) & k4_card_1(u1_struct_0(C)) = B & r2_tarski(u1_struct_0(C),k13_classes2) ) => r2_tarski(g1_orders_2(u1_struct_0(C),u1_orders_2(C)),k4_neckla_2) ) ) ) ) => ! [D] : ( ( ~ v2_struct_0(D) & v8_struct_0(D) & v1_orders_2(D) & v1_necklace(D) & v3_necklace(D) & l1_orders_2(D) ) => ( ( v1_neckla_2(D) & k4_card_1(u1_struct_0(D)) = A & r2_tarski(u1_struct_0(D),k13_classes2) ) => r2_tarski(g1_orders_2(u1_struct_0(D),u1_orders_2(D)),k4_neckla_2) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [E] : ( ( ~ v2_struct_0(E) & v8_struct_0(E) & v1_orders_2(E) & v1_necklace(E) & v3_necklace(E) & l1_orders_2(E) ) => ( ( v1_neckla_2(E) & k4_card_1(u1_struct_0(E)) = A & r2_tarski(u1_struct_0(E),k13_classes2) ) => r2_tarski(g1_orders_2(u1_struct_0(E),u1_orders_2(E)),k4_neckla_2) ) ) ) )).
fof(s4_nat_1__e2_69__group_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(C,D) => ( k5_group_1(A,B,D) = k1_group_1(A) => r1_int_1(k6_group_1(A,B),D) ) ) ) => ( k5_group_1(A,B,C) = k1_group_1(A) => r1_int_1(k6_group_1(A,B),C) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( k5_group_1(A,B,C) = k1_group_1(A) => r1_int_1(k6_group_1(A,B),C) ) ) ) ) )).
fof(s4_nat_1__e2_6__nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ( v1_abian(B) => k1_newton(k4_xcmplx_0(1),B) = 1 ) ) ) => ( v1_abian(A) => k1_newton(k4_xcmplx_0(1),A) = 1 ) ) ) => ! [A] : ( v7_ordinal1(A) => ( v1_abian(A) => k1_newton(k4_xcmplx_0(1),A) = 1 ) ) )).
fof(s4_nat_1__e2_79__uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v2_polynom5(A) & l6_algstr_0(A) ) => ( ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & v1_uproots(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,D) = C => ( r1_xxreal_0(C,k5_numbers) | k3_uproots(u1_struct_0(A),k7_uproots(A,D)) = k7_nat_d(k1_algseq_1(A,D),1) ) ) ) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & v1_uproots(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,E) = B => ( r1_xxreal_0(B,k5_numbers) | k3_uproots(u1_struct_0(A),k7_uproots(A,E)) = k7_nat_d(k1_algseq_1(A,E),1) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & v1_uproots(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,F) = B => ( r1_xxreal_0(B,k5_numbers) | k3_uproots(u1_struct_0(A),k7_uproots(A,F)) = k7_nat_d(k1_algseq_1(A,F),1) ) ) ) ) ) ) )).
fof(s4_nat_1__e2_86_5__algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => ! [G] : ( v7_ordinal1(G) => ( F = G => ( r1_xxreal_0(G,k5_numbers) | ( v1_funct_1(k8_nat_1(C,D,G)) & v1_funct_2(k8_nat_1(C,D,G),k11_algstr_4(A,G),u1_struct_0(B)) & m1_subset_1(k8_nat_1(C,D,G),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,G),u1_struct_0(B)))) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( E = H => ( r1_xxreal_0(H,k5_numbers) | ( v1_funct_1(k8_nat_1(C,D,H)) & v1_funct_2(k8_nat_1(C,D,H),k11_algstr_4(A,H),u1_struct_0(B)) & m1_subset_1(k8_nat_1(C,D,H),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,H),u1_struct_0(B)))) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [I] : ( v7_ordinal1(I) => ( E = I => ( r1_xxreal_0(I,k5_numbers) | ( v1_funct_1(k8_nat_1(C,D,I)) & v1_funct_2(k8_nat_1(C,D,I),k11_algstr_4(A,I),u1_struct_0(B)) & m1_subset_1(k8_nat_1(C,D,I),k1_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,I),u1_struct_0(B)))) ) ) ) ) ) ) ) )).
fof(s4_nat_1__e2_8__nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ( ~ v1_abian(B) => k1_newton(k4_xcmplx_0(1),B) = k4_xcmplx_0(1) ) ) ) => ( ~ v1_abian(A) => k1_newton(k4_xcmplx_0(1),A) = k4_xcmplx_0(1) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( ~ v1_abian(A) => k1_newton(k4_xcmplx_0(1),A) = k4_xcmplx_0(1) ) ) )).
fof(s4_nat_1__e2_94__dilworth,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v8_struct_0(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ~ ( k7_struct_0(C) = B & ! [D] : ( ( v5_dilworth(D,C) & m1_eqrel_1(D,u1_struct_0(C)) ) => k4_card_1(D) != k2_dilworth(C) ) ) ) ) ) => ! [E] : ( ( v8_struct_0(E) & v4_orders_2(E) & v5_orders_2(E) & l1_orders_2(E) ) => ~ ( k7_struct_0(E) = A & ! [F] : ( ( v5_dilworth(F,E) & m1_eqrel_1(F,u1_struct_0(E)) ) => k4_card_1(F) != k2_dilworth(E) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( ( v8_struct_0(G) & v4_orders_2(G) & v5_orders_2(G) & l1_orders_2(G) ) => ~ ( k7_struct_0(G) = A & ! [H] : ( ( v5_dilworth(H,G) & m1_eqrel_1(H,u1_struct_0(G)) ) => k4_card_1(H) != k2_dilworth(G) ) ) ) ) )).
fof(s4_nat_1__e3_14__fib_fusc,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( ( v5_memstr_0(G,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(G,k16_afinsq_1(2,C,E,F)) ) => ( k2_pre_ff(D) = k1_nat_1(k2_nat_1(E,k2_pre_ff(C)),k2_nat_1(F,k2_pre_ff(k1_nat_1(C,1)))) => ( r1_xxreal_0(D,k5_numbers) | ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,G) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,G),k10_ami_3(3)) = k2_pre_ff(D) & ( C = k5_numbers => k8_extpro_1(k5_card_1(2),k1_ami_3,A,G) = 1 ) & ( ~ r1_xxreal_0(C,k5_numbers) => k8_extpro_1(k5_card_1(2),k1_ami_3,A,G) = k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,C)),1)),1) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( m1_subset_1(J,k4_ordinal1) => ! [K] : ( ( v5_memstr_0(K,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(K,k16_afinsq_1(2,B,I,J)) ) => ( k2_pre_ff(H) = k1_nat_1(k2_nat_1(I,k2_pre_ff(B)),k2_nat_1(J,k2_pre_ff(k1_nat_1(B,1)))) => ( r1_xxreal_0(H,k5_numbers) | ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,K) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,K),k10_ami_3(3)) = k2_pre_ff(H) & ( B = k5_numbers => k8_extpro_1(k5_card_1(2),k1_ami_3,A,K) = 1 ) & ( ~ r1_xxreal_0(B,k5_numbers) => k8_extpro_1(k5_card_1(2),k1_ami_3,A,K) = k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,B)),1)),1) ) ) ) ) ) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ! [M] : ( m1_subset_1(M,k4_ordinal1) => ! [N] : ( m1_subset_1(N,k4_ordinal1) => ! [O] : ( ( v5_memstr_0(O,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(O,k16_afinsq_1(2,B,M,N)) ) => ( k2_pre_ff(L) = k1_nat_1(k2_nat_1(M,k2_pre_ff(B)),k2_nat_1(N,k2_pre_ff(k1_nat_1(B,1)))) => ( r1_xxreal_0(L,k5_numbers) | ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,O) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,O),k10_ami_3(3)) = k2_pre_ff(L) & ( B = k5_numbers => k8_extpro_1(k5_card_1(2),k1_ami_3,A,O) = 1 ) & ( ~ r1_xxreal_0(B,k5_numbers) => k8_extpro_1(k5_card_1(2),k1_ami_3,A,O) = k2_xcmplx_0(k3_xcmplx_0(6,k2_xcmplx_0(k1_int_1(k3_power(2,B)),1)),1) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s4_nat_1__e3_23__modelc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_2(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(C) = B & C = k7_finseq_1(D,E) ) => C = D ) ) ) ) ) ) => ! [F] : ( ( v1_modelc_2(F) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_modelc_2(G) & m2_finseq_1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ( k3_finseq_1(F) = A & F = k7_finseq_1(G,H) ) => F = G ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [I] : ( ( v1_modelc_2(I) & m2_finseq_1(I,k4_ordinal1) ) => ! [J] : ( ( v1_modelc_2(J) & m2_finseq_1(J,k4_ordinal1) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ( ( k3_finseq_1(I) = A & I = k7_finseq_1(J,K) ) => I = J ) ) ) ) ) )).
fof(s4_nat_1__e3_26__modelc_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_modelc_1(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_modelc_1(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(C) = B & C = k7_finseq_1(D,E) ) => C = D ) ) ) ) ) ) => ! [F] : ( ( v1_modelc_1(F) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_modelc_1(G) & m2_finseq_1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ( k3_finseq_1(F) = A & F = k7_finseq_1(G,H) ) => F = G ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [I] : ( ( v1_modelc_1(I) & m2_finseq_1(I,k4_ordinal1) ) => ! [J] : ( ( v1_modelc_1(J) & m2_finseq_1(J,k4_ordinal1) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ( ( k3_finseq_1(I) = A & I = k7_finseq_1(J,K) ) => I = J ) ) ) ) ) )).
fof(s4_nat_1__e3_41__zf_lang,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(C) = B & C = k7_finseq_1(D,E) ) => C = D ) ) ) ) ) ) => ! [F] : ( ( v1_zf_lang(F) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_zf_lang(G) & m2_finseq_1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ( k3_finseq_1(F) = A & F = k7_finseq_1(G,H) ) => F = G ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [I] : ( ( v1_zf_lang(I) & m2_finseq_1(I,k4_ordinal1) ) => ! [J] : ( ( v1_zf_lang(J) & m2_finseq_1(J,k4_ordinal1) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ( ( k3_finseq_1(I) = A & I = k7_finseq_1(J,K) ) => I = J ) ) ) ) ) )).
fof(s4_nat_1__e3_47__glib_002,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_finset_1(C) & v1_glib_000(C) & v2_glib_000(C) & ~ v4_glib_000(C) & v1_glib_002(C) ) => ~ ( k15_glib_000(C) = B & ! [D] : ( m1_subset_1(D,k6_glib_000(C)) => ! [E] : ( m1_subset_1(E,k6_glib_000(C)) => ~ ( D != E & ~ v5_glib_002(D,C) & ~ v5_glib_002(E,C) ) ) ) ) ) ) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v1_funct_1(F) & v1_finset_1(F) & v1_glib_000(F) & v2_glib_000(F) & ~ v4_glib_000(F) & v1_glib_002(F) ) => ~ ( k15_glib_000(F) = A & ! [G] : ( m1_subset_1(G,k6_glib_000(F)) => ! [H] : ( m1_subset_1(H,k6_glib_000(F)) => ~ ( G != H & ~ v5_glib_002(G,F) & ~ v5_glib_002(H,F) ) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v1_funct_1(I) & v1_finset_1(I) & v1_glib_000(I) & v2_glib_000(I) & ~ v4_glib_000(I) & v1_glib_002(I) ) => ~ ( k15_glib_000(I) = A & ! [J] : ( m1_subset_1(J,k6_glib_000(I)) => ! [K] : ( m1_subset_1(K,k6_glib_000(I)) => ~ ( J != K & ~ v5_glib_002(J,I) & ~ v5_glib_002(K,I) ) ) ) ) ) ) )).
fof(s4_nat_1__e3_59_1__algstr_4,axiom,( ! [A] : ( ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),k10_algstr_4(A),C) = k1_xboole_0 ) ) => k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),k10_algstr_4(A),B) = k1_xboole_0 ) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k1_yellow_6(k2_xboole_0(A,k4_ordinal1))),k10_algstr_4(A),B) = k1_xboole_0 ) ) )).
fof(s4_nat_1__e3_63__rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(B))) & ~ v2_struct_0(D) & l1_rewrite3(D,C) ) => ( ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => ! [G] : ( m1_rewrite1(G,k1_rewrite3(B,C,D)) => ! [H] : ( m1_subset_1(H,k8_afinsq_1(B)) => ! [I] : ( ( k1_afinsq_1(H) = F & k1_funct_1(G,1) = k4_tarski(I,H) & k1_funct_1(G,k3_finseq_1(G)) = k4_tarski(A,k2_flang_1(B)) ) => r1_xxreal_0(k3_finseq_1(G),k2_xcmplx_0(k1_afinsq_1(H),1)) ) ) ) ) ) => ! [J] : ( m1_rewrite1(J,k1_rewrite3(B,C,D)) => ! [K] : ( m1_subset_1(K,k8_afinsq_1(B)) => ! [L] : ( ( k1_afinsq_1(K) = E & k1_funct_1(J,1) = k4_tarski(L,K) & k1_funct_1(J,k3_finseq_1(J)) = k4_tarski(A,k2_flang_1(B)) ) => r1_xxreal_0(k3_finseq_1(J),k2_xcmplx_0(k1_afinsq_1(K),1)) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [M] : ( m1_rewrite1(M,k1_rewrite3(B,C,D)) => ! [N] : ( m1_subset_1(N,k8_afinsq_1(B)) => ! [O] : ( ( k1_afinsq_1(N) = E & k1_funct_1(M,1) = k4_tarski(O,N) & k1_funct_1(M,k3_finseq_1(M)) = k4_tarski(A,k2_flang_1(B)) ) => r1_xxreal_0(k3_finseq_1(M),k2_xcmplx_0(k1_afinsq_1(N),1)) ) ) ) ) ) ) )).
fof(s4_nat_1__e3_64__helly,axiom,( ! [A] : ( v1_finset_1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_finset_1(D) ) => ~ ( k4_card_1(D) = C & r1_tarski(D,A) & ! [E] : ! [F] : ~ ( r2_tarski(E,D) & r2_tarski(F,D) & r1_xboole_0(E,F) ) & k1_setfam_1(D) = k1_xboole_0 ) ) ) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) ) => ~ ( k4_card_1(G) = B & r1_tarski(G,A) & ! [H] : ! [I] : ~ ( r2_tarski(H,G) & r2_tarski(I,G) & r1_xboole_0(H,I) ) & k1_setfam_1(G) = k1_xboole_0 ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [J] : ( ( ~ v1_xboole_0(J) & v1_finset_1(J) ) => ~ ( k4_card_1(J) = B & r1_tarski(J,A) & ! [K] : ! [L] : ~ ( r2_tarski(K,J) & r2_tarski(L,J) & r1_xboole_0(K,L) ) & k1_setfam_1(J) = k1_xboole_0 ) ) ) ) ) )).
fof(s4_nat_1__e3_7__hurwitz2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( C = B & v1_abian(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => ( k3_complex1(D) = k5_ordinal1 => k4_complex1(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),D,C)) = k5_ordinal1 ) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( E = A & v1_abian(E) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_complfld)) => ( k3_complex1(F) = k5_ordinal1 => k4_complex1(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),F,E)) = k5_ordinal1 ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( G = A & v1_abian(G) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_complfld)) => ( k3_complex1(H) = k5_ordinal1 => k4_complex1(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),H,G)) = k5_ordinal1 ) ) ) ) ) )).
fof(s4_nat_1__e3_82_1_2_1__algstr_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k14_algstr_4(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,E) = D => r2_tarski(E,u1_struct_0(k9_algstr_4(k14_algstr_4(A),B))) ) ) ) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,F) = C => r2_tarski(F,u1_struct_0(k9_algstr_4(k14_algstr_4(A),B))) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,G) = C => r2_tarski(G,u1_struct_0(k9_algstr_4(k14_algstr_4(A),B))) ) ) ) ) ) )).
fof(s4_nat_1__e3_8__hurwitz2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = B => ( v1_abian(C) | ! [D] : ( m1_subset_1(D,u1_struct_0(k1_complfld)) => ( k3_complex1(D) = k5_ordinal1 => k3_complex1(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),D,C)) = k5_ordinal1 ) ) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = A => ( v1_abian(E) | ! [F] : ( m1_subset_1(F,u1_struct_0(k1_complfld)) => ( k3_complex1(F) = k5_ordinal1 => k3_complex1(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),F,E)) = k5_ordinal1 ) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( G = A => ( v1_abian(G) | ! [H] : ( m1_subset_1(H,u1_struct_0(k1_complfld)) => ( k3_complex1(H) = k5_ordinal1 => k3_complex1(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),H,G)) = k5_ordinal1 ) ) ) ) ) ) )).
fof(s4_nat_1__e3_95_1__algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,D) = C => k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(A)),k18_algstr_4(A,A,k6_partfun1(A)),D) = D ) ) ) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,E) = B => k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(A)),k18_algstr_4(A,A,k6_partfun1(A)),E) = E ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,F) = B => k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(A)),k18_algstr_4(A,A,k6_partfun1(A)),F) = F ) ) ) ) ) )).
fof(s4_nat_1__e3_97_1__algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_algstr_4(B))) => ~ ( k15_algstr_4(B,F) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(k14_algstr_4(A))) => F != k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B)),k18_algstr_4(A,B,C),G) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(k14_algstr_4(B))) => ~ ( k15_algstr_4(B,H) = D & ! [I] : ( m1_subset_1(I,u1_struct_0(k14_algstr_4(A))) => H != k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B)),k18_algstr_4(A,B,C),I) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ! [J] : ( m1_subset_1(J,u1_struct_0(k14_algstr_4(B))) => ~ ( k15_algstr_4(B,J) = D & ! [K] : ( m1_subset_1(K,u1_struct_0(k14_algstr_4(A))) => J != k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(k14_algstr_4(B)),k18_algstr_4(A,B,C),K) ) ) ) ) ) ) )).
fof(s4_nat_1__e4_39__topdim_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v2_pre_topc(C) & l1_pre_topc(C) ) => ( ( v3_topdim_1(C) & k4_topdim_1(C) = k6_xcmplx_0(B,1) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( v3_topdim_1(k1_pre_topc(C,D)) & r1_xxreal_0(k4_topdim_1(k1_pre_topc(C,D)),k4_topdim_1(C)) ) ) ) ) ) ) => ! [E] : ( ( v2_pre_topc(E) & l1_pre_topc(E) ) => ( ( v3_topdim_1(E) & k4_topdim_1(E) = k6_xcmplx_0(A,1) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(E))) => ( v3_topdim_1(k1_pre_topc(E,F)) & r1_xxreal_0(k4_topdim_1(k1_pre_topc(E,F)),k4_topdim_1(E)) ) ) ) ) ) ) => ! [A] : ( v7_ordinal1(A) => ! [G] : ( ( v2_pre_topc(G) & l1_pre_topc(G) ) => ( ( v3_topdim_1(G) & k4_topdim_1(G) = k6_xcmplx_0(A,1) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(G))) => ( v3_topdim_1(k1_pre_topc(G,H)) & r1_xxreal_0(k4_topdim_1(k1_pre_topc(G,H)),k4_topdim_1(G)) ) ) ) ) ) )).
fof(s4_nat_1__e6_37__chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m3_glib_001(B,A) & m4_glib_001(C,A,B) ) => ( ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ( r2_tarski(E,k4_finseq_1(C)) => k1_funct_1(C,E) = k1_funct_1(B,E) ) ) ) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_funct_1(B,D) ) ) ) ) )).
fof(s4_nat_1__e6_87__algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k14_algstr_4(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k14_algstr_4(A)),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B)))) ) => ( ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,G) = F => k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B),C,G) = k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B),D,G) ) ) ) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,H) = E => k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B),C,H) = k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B),D,H) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ! [I] : ( m1_subset_1(I,u1_struct_0(k14_algstr_4(A))) => ( k15_algstr_4(A,I) = E => k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B),C,I) = k3_funct_2(u1_struct_0(k14_algstr_4(A)),u1_struct_0(B),D,I) ) ) ) ) ) )).
fof(s4_nat_1__e7_69__ltlaxio1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) & m2_finseq_1(B,k1_hilbert1) ) => ( ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(C,D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => r3_ltlaxio1(A,k7_partfun1(k1_hilbert1,B,D)) ) ) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r3_ltlaxio1(A,k7_partfun1(k1_hilbert1,B,C)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r3_ltlaxio1(A,k7_partfun1(k1_hilbert1,B,C)) ) ) ) ) )).
fof(s4_nat_1__e7_85__ltlaxio1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) & m2_finseq_1(C,k1_hilbert1) ) => ( ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(D,E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => r8_ltlaxio1(B,k3_hilbert1(k6_ltlaxio1(A),k7_partfun1(k1_hilbert1,C,E))) ) ) ) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r8_ltlaxio1(B,k3_hilbert1(k6_ltlaxio1(A),k7_partfun1(k1_hilbert1,C,D))) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r8_ltlaxio1(B,k3_hilbert1(k6_ltlaxio1(A),k7_partfun1(k1_hilbert1,C,D))) ) ) ) ) )).
fof(s4_nat_1__e8_28_1__ltlaxio1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_hilbert1) & m1_subset_1(B,k1_hilbert1) & m1_subset_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => ( k1_funct_1(k11_ltlaxio1(D),k4_tarski(k2_xcmplx_0(C,F),B)) = 1 & k1_funct_1(k11_ltlaxio1(D),k4_tarski(k2_xcmplx_0(C,F),A)) = k5_ordinal1 ) ) ) => ( k1_funct_1(k11_ltlaxio1(D),k4_tarski(k2_xcmplx_0(C,E),B)) = 1 & k1_funct_1(k11_ltlaxio1(D),k4_tarski(k2_xcmplx_0(C,E),A)) = k5_ordinal1 ) ) ) => ! [E] : ( v7_ordinal1(E) => ( k1_funct_1(k11_ltlaxio1(D),k4_tarski(k2_xcmplx_0(C,E),B)) = 1 & k1_funct_1(k11_ltlaxio1(D),k4_tarski(k2_xcmplx_0(C,E),A)) = k5_ordinal1 ) ) ) ) )).
fof(s4_ordinal1__e2_65_8__orders_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & k9_xtuple_0(A) = k1_xboole_0 & ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) ) => ( ( r2_tarski(B,k1_xboole_0) & C = k5_relat_1(A,B) ) => k1_funct_1(A,B) = k1_xboole_0 ) ) ) ) )).
fof(s4_ordinal1__e7_40__card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & k9_xtuple_0(C) = k1_card_5(A) & ! [D] : ( v3_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) ) => ( ( r2_tarski(D,k1_card_5(A)) & E = k5_relat_1(C,D) ) => k1_funct_1(C,D) = k2_xboole_0(k2_card_1(k1_funct_1(B,k9_xtuple_0(E))),k2_card_1(k4_ordinal2(E))) ) ) ) ) ) )).
fof(s4_partfun1__e1_39__integra6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & v1_xreal_0(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_numbers & ! [E] : ( m1_subset_1(E,k1_numbers) => ( ( r2_tarski(E,k2_rcomp_1(A,B)) => k1_funct_1(D,E) = k4_integra5(A,E,C) ) & ( ~ r2_tarski(E,k2_rcomp_1(A,B)) => k1_funct_1(D,E) = k5_numbers ) ) ) ) ) )).
fof(s4_partfun1__e1_68__integr19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & v1_xreal_0(B) & v1_xreal_0(C) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k1_numbers & ! [F] : ( m1_subset_1(F,k1_numbers) => ( ( r2_tarski(F,k2_rcomp_1(B,C)) => k1_funct_1(E,F) = k6_integr18(k4_real_ns1(A),D,B,F) ) & ( ~ r2_tarski(F,k2_rcomp_1(B,C)) => k1_funct_1(E,F) = k4_struct_0(k4_real_ns1(A)) ) ) ) ) ) )).
fof(s4_partfun1__e7_27_1_1_1__waybel13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,A) & m1_subset_1(D,u1_struct_0(k3_waybel_3(A,B,C))) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = A & ! [F] : ( m1_subset_1(F,A) => ( ( F = C => k1_funct_1(E,F) = D ) & ( F != C => k1_funct_1(E,F) = k3_yellow_0(k3_waybel_3(A,B,F)) ) ) ) ) ) )).
fof(s4_pboole__e10_31__equation,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m1_pralg_2(D,B,A) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,E,k6_closure2(u1_struct_0(A),u3_msualg_1(A,C))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(E,k6_closure2(u1_struct_0(A),u3_msualg_1(A,C))))) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(A)) & v1_funct_1(G) & v1_partfun1(G,u1_struct_0(A)) & ! [H] : ( r2_hidden(H,u1_struct_0(A)) => k1_funct_1(G,H) = k3_tarski(a_7_0_equation(A,B,C,D,E,F,H)) ) ) ) )).
fof(s4_pboole__e1_13_2__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( r2_hidden(F,A) => k1_funct_1(E,F) = k15_funcop_1(F,B,D,k1_funct_1(C,F)) ) ) ) )).
fof(s4_pboole__e1_13__msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = k2_xboole_0(k1_tarski(k1_xboole_0),k1_funct_1(B,D)) ) ) ) )).
fof(s4_pboole__e1_14_2__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( r2_hidden(F,A) => k1_funct_1(E,F) = k15_funcop_1(F,C,D,k1_funct_1(B,F)) ) ) ) )).
fof(s4_pboole__e1_46__msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msafree4(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( r2_hidden(D,A) => k1_funct_1(C,D) = o_3_2_msafree4(A,B,D) ) ) ) )).
fof(s4_pboole__e2_38_1_1_3__altcat_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) & m1_subset_1(D,u1_struct_0(k7_altcat_1(B))) & m1_altcat_5(E,k7_altcat_1(B),D,A,C) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & ! [H] : ( r2_hidden(H,A) => k1_funct_1(G,H) = k1_funct_1(k1_funct_1(E,H),F) ) ) ) )).
fof(s4_pboole__e3_14_2__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_1(E) & v1_funct_2(E,D,k1_funct_1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k1_funct_1(B,C)))) & v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & ! [H] : ( r2_hidden(H,A) => k1_funct_1(G,H) = k15_funcop_1(H,C,E,k1_funct_1(k2_msualg_3(A,F),H)) ) ) ) )).
fof(s4_pboole__e3_49__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & m2_pboole(D,A,B,C) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( r2_hidden(F,A) => k1_funct_1(E,F) = o_5_0_msafree4(A,B,C,D,F) ) ) ) )).
fof(s4_pboole__e4_13_2__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funct_1(E) & v1_funct_2(E,k1_funct_1(C,B),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(C,B),D))) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & ! [G] : ( r2_hidden(G,A) => k1_funct_1(F,G) = k15_funcop_1(G,B,E,k1_funct_1(k2_msualg_3(A,C),G)) ) ) ) )).
fof(s4_pboole__e5_14_2__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funct_1(E) & v1_funct_2(E,D,k1_funct_1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k1_funct_1(B,C)))) & v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & ! [H] : ( r2_hidden(H,A) => k1_funct_1(G,H) = k15_funcop_1(H,C,E,k1_funct_1(k2_msualg_3(A,F),H)) ) ) ) )).
fof(s4_pboole__e5_27_1_1__group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & ! [E] : ( r2_hidden(E,C) => k1_funct_1(D,E) = k1_funct_1(B,E) ) ) ) )).
fof(s4_pboole__e6_13_2__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funct_1(E) & v1_funct_2(E,k1_funct_1(C,B),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(C,B),D))) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & ! [G] : ( r2_hidden(G,A) => k1_funct_1(F,G) = k15_funcop_1(G,B,E,k1_funct_1(k2_msualg_3(A,C),G)) ) ) ) )).
fof(s4_pboole__e6_16_1__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,D,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,E))) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(A)) & v1_funct_1(G) & v1_partfun1(G,u1_struct_0(A)) & ! [H] : ( r2_hidden(H,u1_struct_0(A)) => k1_funct_1(G,H) = k15_funcop_1(H,C,F,k1_funct_1(k15_msafree(A,u3_msualg_1(A,B)),H)) ) ) ) )).
fof(s4_pboole__e8_16_1__extens_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,D,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,E))) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(A)) & v1_funct_1(G) & v1_partfun1(G,u1_struct_0(A)) & ! [H] : ( r2_hidden(H,u1_struct_0(A)) => k1_funct_1(G,H) = k15_funcop_1(H,C,F,k1_funct_1(k15_msafree(A,u3_msualg_1(A,B)),H)) ) ) ) )).
fof(s4_pua2mss1__e17_51_1_1_1_1__pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_pua2mss1(B,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) & m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k8_eqrel_1(u1_struct_0(A),k9_pua2mss1(A))) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( r2_tarski(D,k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) & r2_tarski(k1_funct_1(B,D),C) & k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ! [H] : ! [I] : ( ( r2_tarski(k7_finseq_1(k7_finseq_1(F,k9_finseq_1(H)),G),k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) & r2_tarski(k1_funct_1(B,k7_finseq_1(k7_finseq_1(F,k9_finseq_1(H)),G)),C) & r2_hidden(k4_tarski(H,I),k9_pua2mss1(A)) ) => ( r2_tarski(k7_finseq_1(k7_finseq_1(F,k9_finseq_1(I)),G),k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) & r2_tarski(k1_funct_1(B,k7_finseq_1(k7_finseq_1(F,k9_finseq_1(I)),G)),C) ) ) ) ) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(D)) => r2_hidden(k4_tarski(k1_funct_1(D,F),k1_funct_1(E,F)),k9_pua2mss1(A)) ) ) ) => ( r2_tarski(E,k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) & r2_tarski(k1_funct_1(B,E),C) ) ) ) )).
fof(s4_pua2mss1__e18_51__pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m1_pua2mss1(B,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( r2_tarski(C,k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) & k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ! [H] : ( ( r2_tarski(k7_finseq_1(k7_finseq_1(E,k9_finseq_1(G)),F),k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) & r2_hidden(k4_tarski(G,H),k9_pua2mss1(A)) ) => r2_tarski(k7_finseq_1(k7_finseq_1(E,k9_finseq_1(H)),F),k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) ) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(C)) => r2_hidden(k4_tarski(k1_funct_1(C,E),k1_funct_1(D,E)),k9_pua2mss1(A)) ) ) ) => r2_tarski(D,k1_relset_1(k3_finseq_2(u1_struct_0(A)),B)) ) ) )).
fof(s4_qc_lang3__e2_15_2__substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k9_substut1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k8_substut1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v2_qc_lang1(B,A) ) => k9_substut1(A,B) = k8_substut1(A,k17_qc_lang1(A,B)) ) ) )).
fof(s4_qc_lang3__e2_44_2__qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) & m1_subset_1(C,k9_qc_lang1(A)) ) => ( ( ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( E = k4_qc_lang3(A,B,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_qc_lang1(A),k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(B)))) & E = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,D) & ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(B)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(B)) => ( ( G = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_subset_1(B) ) & ( v2_qc_lang1(G,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_qc_lang3(A,k17_qc_lang1(A,G),B) ) & ( ( v3_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k18_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) & ( ( v4_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k19_qc_lang1(A,G)) & I = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k20_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k4_subset_1(B,H,I) ) & ( ( v5_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k22_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) ) ) ) ) ) ) ) ) & v2_qc_lang1(C,A) ) => k4_qc_lang3(A,B,C) = k1_qc_lang3(A,k17_qc_lang1(A,C),B) ) ) )).
fof(s4_qc_lang3__e3_12__qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k24_qc_lang1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k23_qc_lang1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k7_subset_1(k3_qc_lang1(A),G,k1_tarski(k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v2_qc_lang1(B,A) ) => k24_qc_lang1(A,B) = k23_qc_lang1(A,k17_qc_lang1(A,B)) ) ) )).
fof(s4_recdef_1__e31_5_1__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) & m2_finseq_1(F,k4_ordinal1) & m1_subset_1(G,k13_finseq_1(u4_struct_0(k4_msscyc_2(A)))) ) => ( ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(D,H) | ! [I] : ( m1_subset_1(I,k13_finseq_1(u4_struct_0(k4_msscyc_2(A)))) => ? [J] : ( m1_subset_1(J,k13_finseq_1(u4_struct_0(k4_msscyc_2(A)))) & ? [K] : ( m1_dtconstr(K,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & ? [L] : ( m1_dtconstr(L,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & K = k5_trees_2(E,k17_finseq_1(k4_ordinal1,H,F)) & L = k5_trees_2(E,k17_finseq_1(k4_ordinal1,k1_nat_1(H,1),F)) & ? [M] : ( m1_subset_1(M,u4_struct_0(A)) & ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ? [O] : ( m1_subset_1(O,k13_finseq_1(u4_struct_0(k4_msscyc_2(A)))) & O = I & J = k7_finseq_1(k9_finseq_1(k4_tarski(M,N)),O) & k4_tarski(M,u1_struct_0(A)) = k1_funct_1(K,k1_xboole_0) & N = k7_msaterm(A,B,L) & r2_hidden(k4_tarski(M,N),u4_struct_0(k4_msscyc_2(A))) ) ) ) ) ) ) ) ) ) ) => ? [H] : ( m2_finseq_1(H,k13_finseq_1(u4_struct_0(k4_msscyc_2(A)))) & k3_finseq_1(H) = D & ( k1_funct_1(H,1) = G | D = k5_numbers ) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(1,I) => ( r1_xxreal_0(D,I) | ? [P] : ( m1_dtconstr(P,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & ? [Q] : ( m1_dtconstr(Q,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & P = k5_trees_2(E,k17_finseq_1(k4_ordinal1,I,F)) & Q = k5_trees_2(E,k17_finseq_1(k4_ordinal1,k1_nat_1(I,1),F)) & ? [R] : ( m1_subset_1(R,u4_struct_0(A)) & ? [S] : ( m1_subset_1(S,u1_struct_0(A)) & ? [T] : ( m1_subset_1(T,k13_finseq_1(u4_struct_0(k4_msscyc_2(A)))) & T = k1_funct_1(H,I) & k1_funct_1(H,k1_nat_1(I,1)) = k7_finseq_1(k9_finseq_1(k4_tarski(R,S)),T) & k4_tarski(R,u1_struct_0(A)) = k1_funct_1(P,k1_xboole_0) & S = k7_msaterm(A,B,Q) & r2_hidden(k4_tarski(R,S),u4_struct_0(k4_msscyc_2(A))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s4_recdef_1__e32_5__msscyc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v7_graph_1(C,k4_msscyc_2(A)) & m1_graph_1(C,k4_msscyc_2(A)) & m1_subset_1(D,k4_ordinal1) & v1_relat_1(E) & v4_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(A)) & m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(D,G) | ! [H] : ( m1_subset_1(H,k1_msaterm(A,B)) => ? [I] : ( m1_subset_1(I,k1_msaterm(A,B)) & ? [J] : ( m1_subset_1(J,u4_struct_0(A)) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_dtconstr(L,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & ? [M] : ( m1_dtconstr(M,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & ? [N] : ( m1_msaterm(N,A,B,k2_msaterm(A,B,J)) & L = H & I = M & k1_funct_1(C,k1_nat_1(G,1)) = k4_tarski(J,K) & M = k4_trees_4(k4_tarski(J,u1_struct_0(A)),N) & ! [O] : ( v7_ordinal1(O) => ~ ( r2_tarski(O,k4_finseq_1(N)) & ! [P] : ( m1_dtconstr(P,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( P = k1_funct_1(N,O) & k7_msaterm(A,B,P) = k1_funct_1(k1_msualg_1(A,J),O) & ( ( k7_msaterm(A,B,P) = K & k7_msaterm(A,B,L) = K ) => P = L ) & ( ~ ( k7_msaterm(A,B,P) = K & k7_msaterm(A,B,L) = K ) => P = k1_trees_4(k4_tarski(k1_funct_1(E,k7_msaterm(A,B,P)),k7_msaterm(A,B,P))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_msaterm(A,B)) & k3_finseq_1(G) = D & ( k1_funct_1(G,1) = F | D = k5_numbers ) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(D,H) | ? [Q] : ( m1_subset_1(Q,u4_struct_0(A)) & ? [R] : ( m1_subset_1(R,u1_struct_0(A)) & ? [S] : ( m1_dtconstr(S,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & ? [T] : ( m1_dtconstr(T,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) & ? [U] : ( m1_msaterm(U,A,B,k2_msaterm(A,B,Q)) & S = k1_funct_1(G,H) & k1_funct_1(G,k1_nat_1(H,1)) = T & k1_funct_1(C,k1_nat_1(H,1)) = k4_tarski(Q,R) & T = k4_trees_4(k4_tarski(Q,u1_struct_0(A)),U) & ! [V] : ( v7_ordinal1(V) => ~ ( r2_tarski(V,k4_finseq_1(U)) & ! [W] : ( m1_dtconstr(W,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( W = k1_funct_1(U,V) & k7_msaterm(A,B,W) = k1_funct_1(k1_msualg_1(A,Q),V) & ( ( k7_msaterm(A,B,W) = R & k7_msaterm(A,B,S) = R ) => W = S ) & ( ~ ( k7_msaterm(A,B,W) = R & k7_msaterm(A,B,S) = R ) => W = k1_trees_4(k4_tarski(k1_funct_1(E,k7_msaterm(A,B,W)),k7_msaterm(A,B,W))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s4_recdef_1__e4_35__huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_subset_1(B,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) ) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k4_card_1(A),C) | ! [D] : ( m1_subset_1(D,k3_huffman1(k1_huffman1)) => ? [E] : ( m1_subset_1(E,k3_huffman1(k1_huffman1)) & ~ ( ? [F] : ? [G] : ( F != G & r2_hidden(F,D) & r2_hidden(G,D) ) & ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [H] : ( m1_huffman1(H,F) => ! [I] : ( m1_huffman1(I,G) => ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k1_huffman1) & v1_funct_1(J) & v1_finset_1(J) & v3_trees_2(J) & v2_bintree1(J) ) => ~ ( D = F & G = k7_subset_1(k2_huffman1(k1_huffman1),F,k1_tarski(H)) & r2_tarski(J,k2_tarski(k8_huffman1(I,H,k1_nat_1(k9_huffman1(F),1)),k8_huffman1(H,I,k1_nat_1(k9_huffman1(F),1)))) & E = k2_xboole_0(k7_subset_1(k2_huffman1(k1_huffman1),F,k2_tarski(I,H)),k1_tarski(J)) ) ) ) ) ) ) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k3_huffman1(k1_huffman1)) & k3_finseq_1(C) = k4_card_1(A) & ( k1_funct_1(C,1) = B | k4_card_1(A) = k5_numbers ) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k4_card_1(A),D) | ~ ( ? [K] : ? [L] : ( K != L & r2_hidden(K,k1_funct_1(C,D)) & r2_hidden(L,k1_funct_1(C,D)) ) & ! [K] : ( ( ~ v1_xboole_0(K) & v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [L] : ( ( ~ v1_xboole_0(L) & v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [M] : ( m1_huffman1(M,K) => ! [N] : ( m1_huffman1(N,L) => ! [O] : ( ( v1_relat_1(O) & v5_relat_1(O,k1_huffman1) & v1_funct_1(O) & v1_finset_1(O) & v3_trees_2(O) & v2_bintree1(O) ) => ~ ( k1_funct_1(C,D) = K & L = k7_subset_1(k2_huffman1(k1_huffman1),K,k1_tarski(M)) & r2_tarski(O,k2_tarski(k8_huffman1(N,M,k1_nat_1(k9_huffman1(K),1)),k8_huffman1(M,N,k1_nat_1(k9_huffman1(K),1)))) & k1_funct_1(C,k1_nat_1(D,1)) = k2_xboole_0(k7_subset_1(k2_huffman1(k1_huffman1),K,k2_tarski(N,M)),k1_tarski(O)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s4_recdef_1__e6_198_1_2_2__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m1_subset_1(D,u4_struct_0(A)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) & m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) ) => ( ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(k3_finseq_1(E),G) | ! [H] : ( m1_subset_1(H,k3_msualg_1(A,D,k1_msafree3(A,B))) => ? [I] : ( m1_subset_1(I,k3_msualg_1(A,D,k1_msafree3(A,B))) & ? [J] : ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) & H = J & I = k1_funct_7(J,k2_xcmplx_0(G,1),k1_funct_1(k5_msualg_3(A,k1_msafree3(A,B),k10_msafree4(A,B,C),D,k5_msafree5(A,B,k10_msafree4(A,B,C)),E),k2_xcmplx_0(G,1))) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k3_msualg_1(A,D,k1_msafree3(A,B))) & k3_finseq_1(G) = k3_finseq_1(E) & ( k1_funct_1(G,1) = F | k3_finseq_1(E) = k5_numbers ) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(E),H) | ? [K] : ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) & k1_funct_1(G,H) = K & k1_funct_1(G,k1_nat_1(H,1)) = k1_funct_7(K,k2_xcmplx_0(H,1),k1_funct_1(k5_msualg_3(A,k1_msafree3(A,B),k10_msafree4(A,B,C),D,k5_msafree5(A,B,k10_msafree4(A,B,C)),E),k2_xcmplx_0(H,1))) ) ) ) ) ) ) ) )).
fof(s4_recdef_1__e7_8__int_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k4_numbers) & m1_subset_1(C,k4_numbers) & m1_subset_1(D,k4_ordinal1) & v1_int_1(E) ) => ( ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(D,F) | ! [G] : ( m1_subset_1(G,k4_numbers) => ? [H] : ( m1_subset_1(H,k4_numbers) & H = k2_xcmplx_0(k1_funct_1(B,k6_xcmplx_0(k1_nat_1(A,2),F)),k3_xcmplx_0(E,G)) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k4_numbers) & k3_finseq_1(F) = D & ( k1_funct_1(F,1) = C | D = k5_numbers ) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(D,G) | k1_funct_1(F,k1_nat_1(G,1)) = k2_xcmplx_0(k1_funct_1(B,k6_xcmplx_0(k1_nat_1(A,2),G)),k3_xcmplx_0(E,k1_funct_1(F,G))) ) ) ) ) ) ) )).
fof(s4_scmpds_8__e11_41__scmpds_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_int_1(E) & v1_int_1(F) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ~ r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(K,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(J,K)) ) ) & ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(K,H) => k1_funct_1(J,K) = k1_funct_1(B,K) ) ) & k1_recdef_1(I,J) = k5_numbers ) => r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(B,L)) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,H) => k1_funct_1(B,L) = k1_funct_1(B,L) ) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( ! [N] : ( ( v1_ami_2(N) & m1_subset_1(N,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(N,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(J,N)) ) ) & ! [N] : ( ( v1_ami_2(N) & m1_subset_1(N,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(N,H) => k1_funct_1(J,N) = k1_funct_1(B,N) ) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & ! [O] : ( ( v1_ami_2(O) & m1_subset_1(O,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(O,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),O)) ) ) & ! [O] : ( ( v1_ami_2(O) & m1_subset_1(O,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(O,H) => k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)),O) = k1_funct_1(B,O) ) ) ) ) ) ) ) ) => k6_scmpds_4(k2_scmpds_8(D,E,C),B,A) = k6_scmpds_4(k2_scmpds_8(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) )).
fof(s4_scmpds_8__e11_9__scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_int_1(G) & v1_int_1(H) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ~ r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ? [K] : ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & K = J & r1_xxreal_0(H,k1_funct_1(K,E)) & k1_funct_1(K,F) = k1_funct_1(B,F) ) & k1_recdef_1(I,J) = k5_numbers ) => r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) ) ) & ? [L] : ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) & L = B & r1_xxreal_0(H,k1_funct_1(L,E)) & k1_funct_1(L,F) = k1_funct_1(B,F) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = J & r1_xxreal_0(H,k1_funct_1(N,E)) & k1_funct_1(N,F) = k1_funct_1(B,F) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & ? [O] : ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & O = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)) & r1_xxreal_0(H,k1_funct_1(O,E)) & k1_funct_1(O,F) = k1_funct_1(B,F) ) ) ) ) ) ) ) => k6_scmpds_4(k2_scmpds_8(D,G,C),B,A) = k6_scmpds_4(k2_scmpds_8(D,G,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) )).
fof(s4_scmpds_8__e12_10__scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmpds_2)) & v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmpds_2)) & v1_int_1(I) & v1_int_1(J) & v1_int_1(K) & v1_funct_1(L) & v1_funct_2(L,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ~ r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),I)),k5_numbers) & ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(M,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = M & k1_funct_1(N,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(N,G),J),k1_funct_1(N,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(N,G),J)) & k1_funct_1(N,F) = k1_funct_1(B,F) ) & k1_recdef_1(L,M) = k5_numbers ) => r1_xxreal_0(k1_funct_1(M,k2_scmpds_2(k1_funct_1(B,D),I)),k5_numbers) ) ) & ? [O] : ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & O = B & k1_funct_1(O,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(O,G),J),k1_funct_1(O,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(O,G),J)) & k1_funct_1(O,F) = k1_funct_1(B,F) ) & ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,u1_struct_0(k1_scmpds_2)) & v1_funct_1(M) & v5_funct_1(M,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(M,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(M,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [P] : ( ( v1_relat_1(P) & v4_relat_1(P,k4_ordinal1) & v5_relat_1(P,u1_compos_1(k1_scmpds_2)) & v1_funct_1(P) & v1_partfun1(P,k4_ordinal1) ) => ( ( ? [Q] : ( v1_relat_1(Q) & v4_relat_1(Q,u1_struct_0(k1_scmpds_2)) & v1_funct_1(Q) & v5_funct_1(Q,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(Q,u1_struct_0(k1_scmpds_2)) & Q = M & k1_funct_1(Q,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(Q,G),J),k1_funct_1(Q,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(Q,G),J)) & k1_funct_1(Q,F) = k1_funct_1(B,F) ) & k1_funct_1(M,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(M,k2_scmpds_2(k1_funct_1(B,D),I)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,M,P),D) = k1_funct_1(M,D) & r1_scmpds_6(C,M,P) & r2_scmpds_6(C,M,P) & ~ r1_xxreal_0(k1_recdef_1(L,M),k1_recdef_1(L,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,M,P)))) & ? [R] : ( v1_relat_1(R) & v4_relat_1(R,u1_struct_0(k1_scmpds_2)) & v1_funct_1(R) & v5_funct_1(R,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(R,u1_struct_0(k1_scmpds_2)) & R = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,M,P)) & k1_funct_1(R,H) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(R,G),J),k1_funct_1(R,E)) & r1_xxreal_0(K,k6_xcmplx_0(k1_funct_1(R,G),J)) & k1_funct_1(R,F) = k1_funct_1(B,F) ) ) ) ) ) ) ) => k6_scmpds_4(k2_scmpds_8(D,I,C),B,A) = k6_scmpds_4(k2_scmpds_8(D,I,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) )).
fof(s4_scpinvar__e15_35__scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_int_1(G) & v1_int_1(H) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),G)) != k5_numbers & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ( ? [K] : ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & K = J & ~ r1_xxreal_0(k1_funct_1(K,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(K,F),k5_numbers) & k1_funct_1(K,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(K,E),k1_funct_1(K,F)) ) & k1_recdef_1(I,J) = k5_numbers ) => k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)) = k5_numbers ) ) & ? [L] : ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) & L = B & ~ r1_xxreal_0(k1_funct_1(L,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(L,F),k5_numbers) & k1_funct_1(L,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(L,E),k1_funct_1(L,F)) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & N = J & ~ r1_xxreal_0(k1_funct_1(N,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(N,F),k5_numbers) & k1_funct_1(N,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(N,E),k1_funct_1(N,F)) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)) = k5_numbers | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & ? [O] : ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & O = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)) & ~ r1_xxreal_0(k1_funct_1(O,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(O,F),k5_numbers) & k1_funct_1(O,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(O,E),k1_funct_1(O,F)) ) ) ) ) ) ) ) => k6_scmpds_4(k3_scpinvar(D,G,C),B,A) = k6_scmpds_4(k3_scpinvar(D,G,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) )).
fof(s4_setwiseo__e15_32__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,k5_finsub_1(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),B))) & v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),B))) ) => ( ( ( r1_tarski(k1_setwiseo(A),C) => ( k1_setwiseo(A) = k1_xboole_0 | k1_funct_1(E,k1_setwiseo(A)) = k1_funct_1(D,k1_setwiseo(A)) ) ) & ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ! [G] : ( m1_subset_1(G,A) => ( ( r1_tarski(F,C) => ( F = k1_xboole_0 | k1_funct_1(E,F) = k1_funct_1(D,F) ) ) => ( r1_tarski(k2_xboole_0(F,k1_tarski(G)),C) => ( k2_xboole_0(F,k1_tarski(G)) = k1_xboole_0 | k1_funct_1(E,k2_xboole_0(F,k1_tarski(G))) = k1_funct_1(D,k2_xboole_0(F,k1_tarski(G))) ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ( r1_tarski(F,C) => ( F = k1_xboole_0 | k1_funct_1(E,F) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s4_setwiseo__e19_38_2__lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))))) ) => ( ( ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( C = k1_setwiseo(k9_setfam_1(k7_lopclset(A))) => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,k1_setwiseo(k9_setfam_1(k7_lopclset(A))),k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k6_setfam_1(k7_lopclset(A),C) ) ) & ! [D] : ( m1_subset_1(D,k5_finsub_1(k9_setfam_1(k7_lopclset(A)))) => ! [E] : ( m1_subset_1(E,k9_setfam_1(k7_lopclset(A))) => ( ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( F = D => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,D,k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k6_setfam_1(k7_lopclset(A),F) ) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( G = k2_xboole_0(D,k1_tarski(E)) => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,k2_xboole_0(D,k1_tarski(E)),k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k6_setfam_1(k7_lopclset(A),G) ) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k9_setfam_1(k7_lopclset(A)))) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( H = D => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,D,k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k6_setfam_1(k7_lopclset(A),H) ) ) ) ) ) )).
fof(s4_setwiseo__e30_40_1_4_2__lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A))),k9_setfam_1(k7_lopclset(A))))) ) => ( ( ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( C = k1_setwiseo(k9_setfam_1(k7_lopclset(A))) => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,k1_setwiseo(k9_setfam_1(k7_lopclset(A))),k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k5_setfam_1(k7_lopclset(A),C) ) ) & ! [D] : ( m1_subset_1(D,k5_finsub_1(k9_setfam_1(k7_lopclset(A)))) => ! [E] : ( m1_subset_1(E,k9_setfam_1(k7_lopclset(A))) => ( ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( F = D => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,D,k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k5_setfam_1(k7_lopclset(A),F) ) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( G = k2_xboole_0(D,k1_tarski(E)) => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,k2_xboole_0(D,k1_tarski(E)),k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k5_setfam_1(k7_lopclset(A),G) ) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k9_setfam_1(k7_lopclset(A)))) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(A)))) ) => ( H = D => k7_setwiseo(k9_setfam_1(k7_lopclset(A)),k9_setfam_1(k7_lopclset(A)),B,D,k6_partfun1(k9_setfam_1(k7_lopclset(A)))) = k5_setfam_1(k7_lopclset(A),H) ) ) ) ) ) )).
fof(s4_setwiseo__e3_35_1__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(G) & v1_funct_2(G,C,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(C,A))) & m1_subset_1(H,B) ) => ( ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_setwiseo(B,H),k1_setwiseo(C)),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k2_setwiseo(B,H),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,k1_setwiseo(C),G))) & ! [I] : ( m1_subset_1(I,k5_finsub_1(C)) => ! [J] : ( m1_subset_1(J,C) => ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_setwiseo(B,H),I),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k2_setwiseo(B,H),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,I,G))) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_setwiseo(B,H),k2_xboole_0(I,k1_tarski(J))),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k2_setwiseo(B,H),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,k2_xboole_0(I,k1_tarski(J)),G))) ) ) ) ) => ! [I] : ( m1_subset_1(I,k5_finsub_1(C)) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_setwiseo(B,H),I),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k2_setwiseo(B,H),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,I,G))) ) ) ) )).
fof(s4_setwiseo__e4_22__lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ( r1_tarski(k1_setwiseo(u1_struct_0(A)),B) => r2_tarski(k1_lattice4(A,k1_setwiseo(u1_struct_0(A))),B) ) & ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_tarski(C,B) => r2_tarski(k1_lattice4(A,C),B) ) => ( r1_tarski(k2_xboole_0(C,k1_tarski(D)),B) => r2_tarski(k1_lattice4(A,k2_xboole_0(C,k1_tarski(D))),B) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ( r1_tarski(C,B) => r2_tarski(k1_lattice4(A,C),B) ) ) ) ) )).
fof(s4_setwiseo__e4_22__normform,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) & m1_subset_1(D,k5_finsub_1(B)) & m1_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) ) => ( ( ( r1_tarski(k1_setwiseo(B),D) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k7_setwiseo(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_normform(A),k1_setwiseo(B),C),E) ) & ! [F] : ( m1_subset_1(F,k5_finsub_1(B)) => ! [G] : ( m1_subset_1(G,B) => ( ( r1_tarski(F,D) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k7_setwiseo(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_normform(A),F,C),E) ) => ( r1_tarski(k2_xboole_0(F,k1_tarski(G)),D) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k7_setwiseo(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_normform(A),k2_xboole_0(F,k1_tarski(G)),C),E) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k5_finsub_1(B)) => ( r1_tarski(F,D) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k7_setwiseo(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_normform(A),F,C),E) ) ) ) ) )).
fof(s4_setwiseo__e4_29__lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) & v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ( r1_tarski(k1_setwiseo(u1_struct_0(A)),B) => r2_tarski(k2_lattice4(A,k1_setwiseo(u1_struct_0(A))),B) ) & ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_tarski(C,B) => r2_tarski(k2_lattice4(A,C),B) ) => ( r1_tarski(k2_xboole_0(C,k1_tarski(D)),B) => r2_tarski(k2_lattice4(A,k2_xboole_0(C,k1_tarski(D))),B) ) ) ) ) ) => ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ( r1_tarski(C,B) => r2_tarski(k2_lattice4(A,C),B) ) ) ) ) )).
fof(s4_setwiseo__e4_63__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,k5_finsub_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => ( ( k10_setwiseo(A,B,k1_setwiseo(A),C) = k3_tarski(k8_setwiseo(A,k5_finsub_1(B),C,k1_setwiseo(A))) & ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( m1_subset_1(E,A) => ( k10_setwiseo(A,B,D,C) = k3_tarski(k8_setwiseo(A,k5_finsub_1(B),C,D)) => k10_setwiseo(A,B,k2_xboole_0(D,k1_tarski(E)),C) = k3_tarski(k8_setwiseo(A,k5_finsub_1(B),C,k2_xboole_0(D,k1_tarski(E)))) ) ) ) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => k10_setwiseo(A,B,D,C) = k3_tarski(k8_setwiseo(A,k5_finsub_1(B),C,D)) ) ) ) )).
fof(s4_setwiseo__e4_9__cantor_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( r2_tarski(k1_setfam_1(k1_setwiseo(u1_pre_topc(A))),u1_pre_topc(A)) & ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_pre_topc(A))) => ! [C] : ( m1_subset_1(C,u1_pre_topc(A)) => ( r2_tarski(k1_setfam_1(B),u1_pre_topc(A)) => r2_tarski(k1_setfam_1(k2_xboole_0(B,k1_tarski(C))),u1_pre_topc(A)) ) ) ) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_pre_topc(A))) => r2_tarski(k1_setfam_1(B),u1_pre_topc(A)) ) ) ) )).
fof(s4_setwiseo__e5_36__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) & v1_funct_1(G) & v1_funct_2(G,C,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(C,A))) & m1_subset_1(H,k5_finsub_1(C)) ) => ( ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k1_setwiseo(B),H),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k1_setwiseo(B),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,H,G))) & ! [I] : ( m1_subset_1(I,k5_finsub_1(B)) => ! [J] : ( m1_subset_1(J,B) => ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,I,H),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,I,k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,H,G))) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_xboole_0(I,k1_tarski(J)),H),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k2_xboole_0(I,k1_tarski(J)),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,H,G))) ) ) ) ) => ! [I] : ( m1_subset_1(I,k5_finsub_1(B)) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,I,H),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,I,k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,H,G))) ) ) ) )).
fof(s4_setwiseo__e5_40__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),A))) & v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) & m1_subset_1(G,k5_finsub_1(C)) ) => ( ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k1_setwiseo(B),G),E) = k7_setwiseo(B,A,D,k1_setwiseo(B),F) & ! [H] : ( m1_subset_1(H,k5_finsub_1(B)) => ! [I] : ( m1_subset_1(I,B) => ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,H,G),E) = k7_setwiseo(B,A,D,H,F) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_xboole_0(H,k1_tarski(I)),G),E) = k7_setwiseo(B,A,D,k2_xboole_0(H,k1_tarski(I)),F) ) ) ) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(B)) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,H,G),E) = k7_setwiseo(B,A,D,H,F) ) ) ) )).
fof(s4_setwiseo__e5_42__matrix_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),A))) & v1_funct_1(F) & v1_funct_2(F,C,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,A))) & m1_subset_1(G,k5_finsub_1(B)) ) => ( ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,G,k1_setwiseo(C)),E) = k7_setwiseo(C,A,D,k1_setwiseo(C),F) & ! [H] : ( m1_subset_1(H,k5_finsub_1(C)) => ! [I] : ( m1_subset_1(I,C) => ( k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,G,H),E) = k7_setwiseo(C,A,D,H,F) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,G,k2_xboole_0(H,k1_tarski(I))),E) = k7_setwiseo(C,A,D,k2_xboole_0(H,k1_tarski(I)),F) ) ) ) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(C)) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,G,H),E) = k7_setwiseo(C,A,D,H,F) ) ) ) )).
fof(s4_setwiseo__e6_38__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( ( k1_setwiseo(A) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ( k7_relset_1(A,B,D,k1_setwiseo(A)) = k7_relset_1(A,B,E,F) => k7_setwiseo(A,B,C,k1_setwiseo(A),D) = k7_setwiseo(A,B,C,F,E) ) ) ) & ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ! [H] : ( m1_subset_1(H,A) => ( ( G != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k5_finsub_1(A)) => ( k7_relset_1(A,B,D,G) = k7_relset_1(A,B,E,I) => k7_setwiseo(A,B,C,G,D) = k7_setwiseo(A,B,C,I,E) ) ) ) => ( k2_xboole_0(G,k1_tarski(H)) != k1_xboole_0 => ! [J] : ( m1_subset_1(J,k5_finsub_1(A)) => ( k7_relset_1(A,B,D,k2_xboole_0(G,k1_tarski(H))) = k7_relset_1(A,B,E,J) => k7_setwiseo(A,B,C,k2_xboole_0(G,k1_tarski(H)),D) = k7_setwiseo(A,B,C,J,E) ) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ( G != k1_xboole_0 => ! [K] : ( m1_subset_1(K,k5_finsub_1(A)) => ( k7_relset_1(A,B,D,G) = k7_relset_1(A,B,E,K) => k7_setwiseo(A,B,C,G,D) = k7_setwiseo(A,B,C,K,E) ) ) ) ) ) ) )).
fof(s4_setwiseo__e7_33__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(E,k5_finsub_1(A)) ) => ( ( ( k1_setwiseo(A) != k1_xboole_0 => k7_setwiseo(A,B,C,k5_setwiseo(A,E,k1_setwiseo(A)),D) = k4_binop_1(B,C,k7_setwiseo(A,B,C,E,D),k7_setwiseo(A,B,C,k1_setwiseo(A),D)) ) & ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ! [G] : ( m1_subset_1(G,A) => ( ( F != k1_xboole_0 => k7_setwiseo(A,B,C,k5_setwiseo(A,E,F),D) = k4_binop_1(B,C,k7_setwiseo(A,B,C,E,D),k7_setwiseo(A,B,C,F,D)) ) => ( k2_xboole_0(F,k1_tarski(G)) != k1_xboole_0 => k7_setwiseo(A,B,C,k5_setwiseo(A,E,k2_xboole_0(F,k1_tarski(G))),D) = k4_binop_1(B,C,k7_setwiseo(A,B,C,E,D),k7_setwiseo(A,B,C,k2_xboole_0(F,k1_tarski(G)),D)) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ( F != k1_xboole_0 => k7_setwiseo(A,B,C,k5_setwiseo(A,E,F),D) = k4_binop_1(B,C,k7_setwiseo(A,B,C,E,D),k7_setwiseo(A,B,C,F,D)) ) ) ) ) )).
fof(s4_setwiseo__e7_52__lattice4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & ~ v1_xboole_0(B) & v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ~ ( r1_tarski(k1_setwiseo(u1_struct_0(A)),k4_lattice4(A,B)) & ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ~ ( r1_tarski(C,a_2_3_lattice4(A,B)) & k2_lattice2(u1_struct_0(A),A,k1_setwiseo(u1_struct_0(A)),k5_lattice4(A)) = k2_lattice4(A,C) ) ) ) & ! [D] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ ( r1_tarski(D,k4_lattice4(A,B)) & ! [F] : ( m1_subset_1(F,k5_finsub_1(u1_struct_0(A))) => ~ ( r1_tarski(F,a_2_3_lattice4(A,B)) & k2_lattice2(u1_struct_0(A),A,D,k5_lattice4(A)) = k2_lattice4(A,F) ) ) ) => ~ ( r1_tarski(k2_xboole_0(D,k1_tarski(E)),k4_lattice4(A,B)) & ! [G] : ( m1_subset_1(G,k5_finsub_1(u1_struct_0(A))) => ~ ( r1_tarski(G,a_2_3_lattice4(A,B)) & k2_lattice2(u1_struct_0(A),A,k2_xboole_0(D,k1_tarski(E)),k5_lattice4(A)) = k2_lattice4(A,G) ) ) ) ) ) ) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) => ~ ( r1_tarski(D,k4_lattice4(A,B)) & ! [H] : ( m1_subset_1(H,k5_finsub_1(u1_struct_0(A))) => ~ ( r1_tarski(H,a_2_3_lattice4(A,B)) & k2_lattice2(u1_struct_0(A),A,D,k5_lattice4(A)) = k2_lattice4(A,H) ) ) ) ) ) ) )).
fof(s4_setwiseo__e8_43__setwiseo,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(D,D),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,D),D))) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(G) & v1_funct_2(G,B,D) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( ( ( k1_setwiseo(A) != k1_xboole_0 => k3_funct_2(B,D,G,k7_setwiseo(A,B,C,k1_setwiseo(A),F)) = k7_setwiseo(A,D,E,k1_setwiseo(A),k1_partfun1(A,B,B,D,F,G)) ) & ! [H] : ( m1_subset_1(H,k5_finsub_1(A)) => ! [I] : ( m1_subset_1(I,A) => ( ( H != k1_xboole_0 => k3_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)) = k7_setwiseo(A,D,E,H,k1_partfun1(A,B,B,D,F,G)) ) => ( k2_xboole_0(H,k1_tarski(I)) != k1_xboole_0 => k3_funct_2(B,D,G,k7_setwiseo(A,B,C,k2_xboole_0(H,k1_tarski(I)),F)) = k7_setwiseo(A,D,E,k2_xboole_0(H,k1_tarski(I)),k1_partfun1(A,B,B,D,F,G)) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(A)) => ( H != k1_xboole_0 => k3_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)) = k7_setwiseo(A,D,E,H,k1_partfun1(A,B,B,D,F,G)) ) ) ) ) )).
fof(s4_stirl2_1__e5_15__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(A) & v7_ordinal1(B) ) => ( ( ( v1_xboole_0(k2_tarski(D,E)) => v1_xboole_0(A) ) & ~ r2_hidden(C,A) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(k2_tarski(D,E),k1_tarski(E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(k2_tarski(D,E),k1_tarski(E))))) ) => ( k1_funct_1(F,C) = E => ( ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = F => k1_card_1(k8_relat_1(G,k1_tarski(D))) = B ) ) <=> ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( H = k2_partfun1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(k2_tarski(D,E),k1_tarski(E)),F,A) => k1_card_1(k8_relat_1(H,k1_tarski(D))) = B ) ) ) ) ) ) => k1_card_1(a_4_7_card_fin(A,B,D,E)) = k1_card_1(a_5_7_card_fin(A,B,C,D,E)) ) ) )).
fof(s4_stirl2_1__e5_52_1_1_2__stirl2_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ( v1_xboole_0(k5_card_1(A)) => v1_xboole_0(k5_card_1(B)) ) & ~ r2_hidden(B,k5_card_1(B)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_xboole_0(k5_card_1(B),k1_tarski(B)),k2_xboole_0(k5_card_1(A),k1_tarski(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k5_card_1(B),k1_tarski(B)),k2_xboole_0(k5_card_1(A),k1_tarski(A))))) ) => ( k1_funct_1(C,B) = A => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( k5_card_1(D) = k2_xboole_0(k5_card_1(B),k1_tarski(B)) & k5_card_1(E) = k2_xboole_0(k5_card_1(A),k1_tarski(A)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k5_card_1(D),k5_card_1(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(D),k5_card_1(E)))) ) => ~ ( F = C & v2_funct_2(F,k5_card_1(E)) & v1_stirl2_1(F,D,E) & ( ~ r1_xxreal_0(D,B) => k1_stirl2_1(D,k5_card_1(E),F,k1_seq_4(k2_stirl2_1(k5_card_1(D),E,F,B))) = k1_seq_4(B) ) ) ) ) ) ) <=> ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ~ ( k5_card_1(G) = k5_card_1(B) & k5_card_1(H) = k5_card_1(A) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k5_card_1(G),k5_card_1(H)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(G),k5_card_1(H)))) ) => ~ ( I = k2_partfun1(k2_xboole_0(k5_card_1(B),k1_tarski(B)),k2_xboole_0(k5_card_1(A),k1_tarski(A)),C,k5_card_1(B)) & v2_funct_2(I,k5_card_1(H)) & v1_stirl2_1(I,G,H) & ( ~ r1_xxreal_0(G,B) => k1_stirl2_1(G,k5_card_1(H),I,k1_seq_4(k2_stirl2_1(k5_card_1(G),H,I,B))) = k1_seq_4(B) ) ) ) ) ) ) ) ) ) ) => k1_card_1(a_2_4_stirl2_1(A,B)) = k1_card_1(a_2_11_stirl2_1(A,B)) ) ) )).
fof(s4_stirl2_1__e5_53_1_1_2__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) ) => ( ( ( v1_xboole_0(k5_card_1(A)) => v1_xboole_0(k5_card_1(B)) ) & ~ r2_hidden(B,k5_card_1(B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_xboole_0(k5_card_1(B),k1_tarski(B)),k2_xboole_0(k5_card_1(A),k1_tarski(C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(k5_card_1(B),k1_tarski(B)),k2_xboole_0(k5_card_1(A),k1_tarski(C))))) ) => ( k1_funct_1(D,B) = C => ( ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( k5_card_1(E) = k2_xboole_0(k5_card_1(B),k1_tarski(B)) & k5_card_1(F) = k2_xboole_0(k5_card_1(A),k1_tarski(C)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k5_card_1(E),k5_card_1(F)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(E),k5_card_1(F)))) ) => ~ ( G = D & v2_funct_2(G,k5_card_1(F)) & v1_stirl2_1(G,E,F) & ~ ( ~ r1_xxreal_0(E,B) & k1_stirl2_1(E,k5_card_1(F),G,k1_seq_4(k2_stirl2_1(k5_card_1(E),F,G,B))) = k1_seq_4(B) ) ) ) ) ) ) <=> ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ~ ( k5_card_1(H) = k5_card_1(B) & k5_card_1(I) = k5_card_1(A) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k5_card_1(H),k5_card_1(I)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(H),k5_card_1(I)))) ) => ~ ( J = k2_partfun1(k2_xboole_0(k5_card_1(B),k1_tarski(B)),k2_xboole_0(k5_card_1(A),k1_tarski(C)),D,k5_card_1(B)) & v2_funct_2(J,k5_card_1(I)) & v1_stirl2_1(J,H,I) & ~ ( ~ r1_xxreal_0(H,B) & k1_stirl2_1(H,k5_card_1(I),J,k1_seq_4(k2_stirl2_1(k5_card_1(H),I,J,B))) = k1_seq_4(B) ) ) ) ) ) ) ) ) ) ) => k1_card_1(a_2_6_stirl2_1(A,B)) = k1_card_1(a_3_4_stirl2_1(A,B,C)) ) ) )).
fof(s4_stirl2_1__e7_14__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(A) & v7_ordinal1(B) ) => ( ( ( v1_xboole_0(k2_tarski(D,E)) => v1_xboole_0(A) ) & ~ r2_hidden(C,A) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(k2_tarski(D,E),k1_tarski(D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(k2_tarski(D,E),k1_tarski(D))))) ) => ( k1_funct_1(F,C) = D => ( ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = F => k4_card_1(k8_relat_1(k5_relat_1(G,A),k1_tarski(D))) = B ) ) <=> ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( H = k2_partfun1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(k2_tarski(D,E),k1_tarski(D)),F,A) => k4_card_1(k8_relat_1(k5_relat_1(H,A),k1_tarski(D))) = B ) ) ) ) ) ) => k1_card_1(a_4_6_card_fin(A,B,D,E)) = k1_card_1(a_5_6_card_fin(A,B,C,D,E)) ) ) )).
fof(s4_stirl2_1__e7_2__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => ( ( ( v1_xboole_0(B) => v1_xboole_0(A) ) & ~ r2_hidden(C,A) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D))))) ) => ( k1_funct_1(E,C) = D => ( 1 = 1 <=> 1 = 1 ) ) ) ) => k1_card_1(a_2_3_card_fin(A,B)) = k1_card_1(a_4_4_card_fin(A,B,C,D)) ) ) )).
fof(s4_stirl2_1__e9_5__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => ( ( ( v1_xboole_0(B) => v1_xboole_0(A) ) & ~ r2_hidden(C,A) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D))))) ) => ( k1_funct_1(E,C) = D => ( ( v2_funct_1(E) & r1_tarski(k10_xtuple_0(k5_relat_1(E,A)),B) ) <=> ( v2_funct_1(k2_partfun1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D)),E,A)) & r1_tarski(k10_xtuple_0(k5_relat_1(k2_partfun1(k2_xboole_0(A,k1_tarski(C)),k2_xboole_0(B,k1_tarski(D)),E,A),A)),B) ) ) ) ) ) => k1_card_1(a_2_5_card_fin(A,B)) = k1_card_1(a_4_5_card_fin(A,B,C,D)) ) ) )).
fof(s4_substut1__e5_80__substut1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_funct_1(B) & v1_funct_2(B,k16_substut1(A),k9_qc_lang1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k16_substut1(A),k9_qc_lang1(A)))) & v1_funct_1(C) & v1_funct_2(C,k16_substut1(A),k9_qc_lang1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k16_substut1(A),k9_qc_lang1(A)))) ) => ( ( ! [D] : ( m1_subset_1(D,k16_substut1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ( ( v2_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k5_cqc_lang(A) ) & ( v4_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k10_qc_lang1(A,k16_qc_lang1(A,k18_substut1(A,D)),k3_substut1(A,k26_substut1(A,D),k19_substut1(A,D))) ) & ( ( v5_substut1(D,A) & E = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k27_substut1(A,D)) ) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k13_qc_lang1(A,E) ) & ( ( v6_substut1(D,A) & E = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k28_substut1(A,D)) & F = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k29_substut1(A,D)) ) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k14_qc_lang1(A,E,F) ) & ( ( v7_substut1(D,A) & E = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,k31_substut1(A,D)) ) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),B,D) = k36_substut1(A,D,E) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,k16_substut1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ( ( v2_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k5_cqc_lang(A) ) & ( v4_substut1(D,A) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k10_qc_lang1(A,k16_qc_lang1(A,k18_substut1(A,D)),k3_substut1(A,k26_substut1(A,D),k19_substut1(A,D))) ) & ( ( v5_substut1(D,A) & E = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k27_substut1(A,D)) ) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k13_qc_lang1(A,E) ) & ( ( v6_substut1(D,A) & E = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k28_substut1(A,D)) & F = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k29_substut1(A,D)) ) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k14_qc_lang1(A,E,F) ) & ( ( v7_substut1(D,A) & E = k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,k31_substut1(A,D)) ) => k3_funct_2(k16_substut1(A),k9_qc_lang1(A),C,D) = k36_substut1(A,D,E) ) ) ) ) ) ) => r2_funct_2(k16_substut1(A),k9_qc_lang1(A),B,C) ) ) )).
fof(s4_trees_2__e2_11_5_1__pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [F] : ~ ( r2_hidden(F,a_3_11_pcomps_2(A,D,E)) & ! [G] : ( v7_ordinal1(G) => ~ r2_hidden(F,k1_funct_1(C,G)) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = a_3_11_pcomps_2(A,D,E) & ! [G] : ~ ( r2_hidden(G,a_3_11_pcomps_2(A,D,E)) & ! [H] : ( v7_ordinal1(H) => ~ ( k1_funct_1(F,G) = H & r2_hidden(G,k1_funct_1(C,H)) & ! [I] : ( v7_ordinal1(I) => ( r2_hidden(G,k1_funct_1(C,I)) => r1_xxreal_0(H,I) ) ) ) ) ) ) ) ) )).
fof(s4_trees_2__e5_45_1__trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_trees_1(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k1_trees_2(A,B)) & ! [D] : ( v7_ordinal1(D) => ~ ! [E] : ( ( v2_trees_2(E,A) & m1_trees_2(E,A) ) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ! [G] : ( m2_finseq_1(G,k4_ordinal1) => ~ ( F = C & r2_hidden(C,E) & r2_tarski(G,E) & r1_xxreal_0(k2_xcmplx_0(k3_finseq_1(F),D),k3_finseq_1(G)) ) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_trees_2(A,B) & ! [D] : ~ ( r2_hidden(D,k1_trees_2(A,B)) & ! [H] : ( v7_ordinal1(H) => ~ ( k1_funct_1(C,D) = H & ! [I] : ( ( v2_trees_2(I,A) & m1_trees_2(I,A) ) => ! [J] : ( m2_finseq_1(J,k4_ordinal1) => ! [K] : ( m2_finseq_1(K,k4_ordinal1) => ~ ( J = D & r2_hidden(D,I) & r2_tarski(K,I) & r1_xxreal_0(k2_xcmplx_0(k3_finseq_1(J),H),k3_finseq_1(K)) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ! [M] : ( ( v2_trees_2(M,A) & m1_trees_2(M,A) ) => ! [N] : ( m2_finseq_1(N,k4_ordinal1) => ! [O] : ( m2_finseq_1(O,k4_ordinal1) => ~ ( N = D & r2_hidden(D,M) & r2_tarski(O,M) & r1_xxreal_0(k2_xcmplx_0(k3_finseq_1(N),L),k3_finseq_1(O)) ) ) ) ) => r1_xxreal_0(H,L) ) ) ) ) ) ) ) ) )).
fof(s4_waybel24__e6_53__waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(u1_struct_0(A),B)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k5_yellow_1(u1_struct_0(A),B))) => ( r2_tarski(E,D) => k1_yellow_0(B,a_4_7_waybel24(A,B,C,E)) = k1_funct_1(E,k1_yellow_0(A,C)) ) ) => a_4_11_waybel24(A,B,C,D) = a_4_12_waybel24(A,B,C,D) ) ) )).
fof(s4_waybel24__e7_52__waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_waybel24(A,B)))) & ~ v1_xboole_0(D) & v1_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k5_yellow_1(u1_struct_0(A),B))) => ( r2_tarski(E,C) => k1_yellow_0(B,a_4_7_waybel24(A,B,D,E)) = k1_funct_1(E,k1_yellow_0(A,D)) ) ) => a_4_6_waybel24(A,B,C,D) = a_4_10_waybel24(A,B,C,D) ) ) )).
fof(s4_yellow_9__e12_47__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => k8_relat_1(D,k3_tarski(a_3_6_yellow_9(B,C,E))) = k3_tarski(a_5_1_yellow_9(A,B,C,D,E)) ) )).
fof(s4_yellow_9__e3_49_2_1__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => k8_relat_1(C,k3_tarski(a_2_6_yellow_9(B,D))) = k3_tarski(a_4_9_yellow_9(A,B,C,D)) ) )).
fof(s4_zf_refle__e25_30_1__zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ( ( r1_ordinal1(k1_funct_1(B,k2_ordinal4(A)),k1_funct_1(C,k2_ordinal4(A))) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( r1_ordinal1(k1_funct_1(B,D),k1_funct_1(C,D)) => r1_ordinal1(k1_funct_1(B,k6_ordinal4(A,D)),k1_funct_1(C,k6_ordinal4(A,D))) ) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( ( v4_ordinal1(D) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( r2_tarski(E,D) => r1_ordinal1(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) => ( D = k2_ordinal4(A) | r1_ordinal1(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) => ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => r1_ordinal1(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) )).
fof(s4_zf_refle__e32_25__zfrefle1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ( ( ( k2_ordinal4(A) != k1_xboole_0 => r1_ordinal1(k1_funct_1(C,k2_ordinal4(A)),k1_funct_1(B,k2_ordinal4(A))) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( ( D != k1_xboole_0 => r1_ordinal1(k1_funct_1(C,D),k1_funct_1(B,D)) ) => ( k6_ordinal4(A,D) != k1_xboole_0 => r1_ordinal1(k1_funct_1(C,k6_ordinal4(A,D)),k1_funct_1(B,k6_ordinal4(A,D))) ) ) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( ( v4_ordinal1(D) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( r2_tarski(E,D) => ( E != k1_xboole_0 => r1_ordinal1(k1_funct_1(C,E),k1_funct_1(B,E)) ) ) ) ) => ( D = k2_ordinal4(A) | ( D != k1_xboole_0 => r1_ordinal1(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) ) => ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( D != k1_xboole_0 => r1_ordinal1(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(s4_zf_refle__e6_15_3__zfrefle1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( ( r2_tarski(k1_funct_1(B,k2_ordinal4(A)),k2_ordinal1(A)) & ! [C] : ( ( v3_ordinal1(C) & m1_subset_1(C,A) ) => ( r2_tarski(k1_funct_1(B,C),k2_ordinal1(A)) => r2_tarski(k1_funct_1(B,k6_ordinal4(A,C)),k2_ordinal1(A)) ) ) & ! [C] : ( ( v3_ordinal1(C) & m1_subset_1(C,A) ) => ( ( v4_ordinal1(C) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( r2_tarski(D,C) => r2_tarski(k1_funct_1(B,D),k2_ordinal1(A)) ) ) ) => ( C = k2_ordinal4(A) | r2_tarski(k1_funct_1(B,C),k2_ordinal1(A)) ) ) ) ) => ! [C] : ( ( v3_ordinal1(C) & m1_subset_1(C,A) ) => r2_tarski(k1_funct_1(B,C),k2_ordinal1(A)) ) ) ) )).
fof(s4_zf_refle__e8_15_4__zfrefle1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( ( ( r2_tarski(C,k2_ordinal4(A)) => r2_tarski(k4_ordinal4(A,B,C),k1_funct_1(B,k2_ordinal4(A))) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( ( r2_tarski(C,D) => r2_tarski(k4_ordinal4(A,B,C),k1_funct_1(B,D)) ) => ( r2_tarski(C,k6_ordinal4(A,D)) => r2_tarski(k4_ordinal4(A,B,C),k1_funct_1(B,k6_ordinal4(A,D))) ) ) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( ( v4_ordinal1(D) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( r2_tarski(E,D) => ( r2_tarski(C,E) => r2_tarski(k4_ordinal4(A,B,C),k1_funct_1(B,E)) ) ) ) ) => ( D = k2_ordinal4(A) | ( r2_tarski(C,D) => r2_tarski(k4_ordinal4(A,B,C),k1_funct_1(B,D)) ) ) ) ) ) => ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( r2_tarski(C,D) => r2_tarski(k4_ordinal4(A,B,C),k1_funct_1(B,D)) ) ) ) ) )).
fof(s4_zf_refle__e8_30_1_3__zf_refle,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v3_ordinal1(C) & m1_subset_1(C,A) ) => ( ( ( r2_tarski(C,k2_ordinal4(A)) => r2_tarski(k4_ordinal4(A,B,C),k4_ordinal4(A,B,k2_ordinal4(A))) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( ( r2_tarski(C,D) => r2_tarski(k4_ordinal4(A,B,C),k4_ordinal4(A,B,D)) ) => ( r2_tarski(C,k6_ordinal4(A,D)) => r2_tarski(k4_ordinal4(A,B,C),k4_ordinal4(A,B,k6_ordinal4(A,D))) ) ) ) & ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( ( v4_ordinal1(D) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( r2_tarski(E,D) => ( r2_tarski(C,E) => r2_tarski(k4_ordinal4(A,B,C),k4_ordinal4(A,B,E)) ) ) ) ) => ( D = k2_ordinal4(A) | ( r2_tarski(C,D) => r2_tarski(k4_ordinal4(A,B,C),k4_ordinal4(A,B,D)) ) ) ) ) ) => ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( r2_tarski(C,D) => r2_tarski(k4_ordinal4(A,B,C),k4_ordinal4(A,B,D)) ) ) ) ) )).
fof(s5_absred_0__e4_71__absred_0,axiom,( ! [A] : ! [B] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r5_absred_0(A,C,D) & r3_absred_0(A,B,C) ) => r3_absred_0(A,B,D) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r7_absred_0(A,C,D) & r3_absred_0(A,B,C) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(s5_absred_0__e5_105__absred_0,axiom,( ! [A] : ! [B] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r5_absred_0(A,C,D) & r3_absred_0(A,C,B) ) => r3_absred_0(A,D,B) ) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r7_absred_0(A,C,D) & r3_absred_0(A,C,B) ) => r3_absred_0(A,D,B) ) ) ) ) ) )).
fof(s5_aofa_000__e21_100__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & l3_aofa_a00(F,A,C,u4_aofa_a00(A,B,C,E)) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(J,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(J,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(K,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(K,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & m1_aofa_000(L,F,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) & m2_subset_1(M,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & v7_ordinal1(N) ) => ( ( k1_newton(k1_funct_1(k1_msafree4(u1_struct_0(A),M,G),H),N) = k3_xcmplx_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),I),k2_power(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),H),k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),J)) & r4_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D)),L) & ! [O] : ( m1_subset_1(O,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ( k1_newton(k1_funct_1(k1_msafree4(u1_struct_0(A),M,G),H),N) = k3_xcmplx_0(k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),I),k2_power(k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),H),k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),J)) & r2_tarski(O,k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) & ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),J),k5_numbers) ) => ( k1_newton(k1_funct_1(k1_msafree4(u1_struct_0(A),M,G),H),N) = k3_xcmplx_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))))),G),I),k2_power(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))))),G),H),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))))),G),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))))),G),J)) ) ) ) & ! [O] : ( m1_subset_1(O,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ( k1_newton(k1_funct_1(k1_msafree4(u1_struct_0(A),M,G),H),N) = k3_xcmplx_0(k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),I),k2_power(k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),H),k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k1_msafree4(u1_struct_0(A),O,G),J)) ) => ( k1_newton(k1_funct_1(k1_msafree4(u1_struct_0(A),M,G),H),N) = k3_xcmplx_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),G),I),k2_power(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),G),H),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),G),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),G),J)) & ( r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) => ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),G),J),k5_numbers) ) & ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),G),J),k5_numbers) => r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,O,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) ) ) ) ) ) => ( k1_newton(k1_funct_1(k1_msafree4(u1_struct_0(A),M,G),H),N) = k3_xcmplx_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)),k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))))),G),I),k2_power(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)),k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))))),G),H),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)),k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))))),G),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)),k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))))),G),J)) & ~ ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),L,k3_aofa_a01(A,B,C,E,K,D,F,L,M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k26_aofa_a00(A,C,G)),k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k8_aofa_a01(A,B,C,E,F,K,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J)),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,J,k31_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,J),k7_aofa_a01(A,B,C,G)))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k30_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H)))))),G),J),k5_numbers) ) ) ) )).
fof(s5_aofa_000__e21_132__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) & m1_subset_1(I,k4_ordinal1) & m1_subset_1(J,k4_ordinal1) ) => ( ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,H,E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,H,F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,H,E),k21_aofa_i00(B,k4_numbers,H,F)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,H,F)) & r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers)),k9_funct_2(B,k4_numbers),k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & ! [K] : ( m1_subset_1(K,k9_funct_2(B,k4_numbers)) => ( ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,K,E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,K,F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,K,E),k21_aofa_i00(B,k4_numbers,K,F)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,K,F)) & r2_tarski(K,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,K,F),k5_numbers) ) => ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F)) ) ) ) & ! [K] : ( m1_subset_1(K,k9_funct_2(B,k4_numbers)) => ( ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,K,E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,K,F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,K,E),k21_aofa_i00(B,k4_numbers,K,F)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,K,F)) ) => ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F),k5_numbers) ) & ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F),k5_numbers) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,K,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) ) ) ) ) => ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F)) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F)) & ~ ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F),k5_numbers) ) ) ) )).
fof(s5_aofa_000__e23_137__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) & v7_ordinal1(I) ) => ( ( k1_newton(k21_aofa_i00(B,k4_numbers,H,E),I) = k3_xcmplx_0(k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),F),k2_power(k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),E),k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),G))) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),G)) & r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)),k78_aofa_i00(A,B,C,D,G,k5_numbers)),k9_funct_2(B,k4_numbers),k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k78_aofa_i00(A,B,C,D,G,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & ! [J] : ( m1_subset_1(J,k9_funct_2(B,k4_numbers)) => ( ( k1_newton(k21_aofa_i00(B,k4_numbers,H,E),I) = k3_xcmplx_0(k21_aofa_i00(B,k4_numbers,J,F),k2_power(k21_aofa_i00(B,k4_numbers,J,E),k21_aofa_i00(B,k4_numbers,J,G))) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,J,G)) & r2_tarski(J,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,J,G),k5_numbers) ) => ( k1_newton(k21_aofa_i00(B,k4_numbers,H,E),I) = k3_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E))),F),k2_power(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E))),E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E))),G))) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E))),G)) ) ) ) & ! [J] : ( m1_subset_1(J,k9_funct_2(B,k4_numbers)) => ( ( k1_newton(k21_aofa_i00(B,k4_numbers,H,E),I) = k3_xcmplx_0(k21_aofa_i00(B,k4_numbers,J,F),k2_power(k21_aofa_i00(B,k4_numbers,J,E),k21_aofa_i00(B,k4_numbers,J,G))) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,J,G)) ) => ( k1_newton(k21_aofa_i00(B,k4_numbers,H,E),I) = k3_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),F),k2_power(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),G))) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),G)) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),G),k5_numbers) ) & ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),G),k5_numbers) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,G,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) ) ) ) ) => ( k1_newton(k21_aofa_i00(B,k4_numbers,H,E),I) = k3_xcmplx_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k16_aofa_000(A,k78_aofa_i00(A,B,C,D,G,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)))),F),k2_power(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k16_aofa_000(A,k78_aofa_i00(A,B,C,D,G,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)))),E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k16_aofa_000(A,k78_aofa_i00(A,B,C,D,G,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)))),G))) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k16_aofa_000(A,k78_aofa_i00(A,B,C,D,G,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)))),G)) & ~ ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k89_aofa_i00(B,A,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,H,k51_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,1)),k16_aofa_000(A,k78_aofa_i00(A,B,C,D,G,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k15_aofa_000(A,k72_aofa_i00(A,B,C,D,G),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,E)),k60_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,2)),k82_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,E)))),G),k5_numbers) ) ) ) )).
fof(s5_aofa_000__e25_135__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) & m1_subset_1(I,k4_ordinal1) & m1_subset_1(J,k4_ordinal1) ) => ( ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,H,E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,H,F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,H,E),k5_numbers) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,H,F)) & ! [K] : ( v7_ordinal1(K) => ( ( r1_int_1(K,k21_aofa_i00(B,k4_numbers,H,E)) & r1_int_1(K,k21_aofa_i00(B,k4_numbers,H,F)) ) => r1_nat_d(K,k6_nat_d(I,J)) ) ) & r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers)),k9_funct_2(B,k4_numbers),k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & ! [L] : ( m1_subset_1(L,k9_funct_2(B,k4_numbers)) => ( ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,L,E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,L,F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,L,E),k5_numbers) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,L,F)) & ! [M] : ( v7_ordinal1(M) => ( ( r1_int_1(M,k21_aofa_i00(B,k4_numbers,L,E)) & r1_int_1(M,k21_aofa_i00(B,k4_numbers,L,F)) ) => r1_nat_d(M,k6_nat_d(I,J)) ) ) & r2_tarski(L,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,L,E),k5_numbers) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,L,F),k5_numbers) ) => ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E),k5_numbers) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F)) & ! [N] : ( v7_ordinal1(N) => ( ( r1_int_1(N,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E)) & r1_int_1(N,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F)) ) => r1_nat_d(N,k6_nat_d(I,J)) ) ) ) ) ) & ! [L] : ( m1_subset_1(L,k9_funct_2(B,k4_numbers)) => ( ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,L,E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,L,F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,L,E),k5_numbers) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,L,F)) & ! [O] : ( v7_ordinal1(O) => ( ( r1_int_1(O,k21_aofa_i00(B,k4_numbers,L,E)) & r1_int_1(O,k21_aofa_i00(B,k4_numbers,L,F)) ) => r1_nat_d(O,k6_nat_d(I,J)) ) ) ) => ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E),k5_numbers) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) & ! [P] : ( v7_ordinal1(P) => ( ( r1_int_1(P,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E)) & r1_int_1(P,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) ) => r1_nat_d(P,k6_nat_d(I,J)) ) ) & ( r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) => ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E),k5_numbers) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F),k5_numbers) ) ) & ( ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E),k5_numbers) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F),k5_numbers) ) => r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,L,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) ) ) ) ) => ( r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),E)) & r1_int_1(k6_nat_d(I,J),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F)) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),E),k5_numbers) & r1_xxreal_0(k5_numbers,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F)) & ! [Q] : ( v7_ordinal1(Q) => ( ( r1_int_1(Q,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),E)) & r1_int_1(Q,k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F)) ) => r1_nat_d(Q,k6_nat_d(I,J)) ) ) & ~ ( ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),E),k5_numbers) & ~ r1_xxreal_0(k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k47_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k32_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E),k42_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F))),k15_aofa_000(A,k79_aofa_i00(A,B,C,D,G,k5_numbers),k58_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,k4_xcmplx_0(1)))),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F),k5_numbers) ) ) ) ) )).
fof(s5_aofa_000__e28_144__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & l3_aofa_a00(F,A,C,u4_aofa_a00(A,B,C,E)) & v19_aofa_a00(G,A) & m1_subset_1(G,u1_struct_0(A)) & v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),G) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),G)) & v3_aofa_a01(J,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(J,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & v3_aofa_a01(K,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(K,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) & m2_subset_1(L,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_aofa_000(M,F,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) & v1_relat_1(N) & v5_relat_1(N,k4_numbers) & v1_funct_1(N) & v1_finset_1(N) & v1_exchsort(N) & v2_exchsort(N,k5_numbers) ) => ( ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k36_aofa_a00(A)),J) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),I),k4_ordinal1) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),H),k4_ordinal1) & r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),I),k1_afinsq_1(N)) & ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),I),k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),H)) & ~ r1_xxreal_0(k1_afinsq_1(N),k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),H)) & ! [O] : ( v1_int_1(O) => ( O = k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),H) => ! [P] : ( v7_ordinal1(P) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),G),I),P) => r1_xxreal_0(k1_funct_1(N,P),k1_funct_1(N,O)) ) ) ) ) & r4_aofa_000(F,k13_aofa_000(F,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D)),M) & ! [Q] : ( m1_subset_1(Q,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),Q,k36_aofa_a00(A)),J) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),k4_ordinal1) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H),k4_ordinal1) & r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),k1_afinsq_1(N)) & ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H)) & ~ r1_xxreal_0(k1_afinsq_1(N),k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H)) & ! [R] : ( v1_int_1(R) => ( R = k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H) => ! [S] : ( v7_ordinal1(S) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),S) => r1_xxreal_0(k1_funct_1(N,S),k1_funct_1(N,R)) ) ) ) ) & r2_tarski(Q,k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) & k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),Q,k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I)) ) => ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),k36_aofa_a00(A)),J) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),I),k4_ordinal1) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),H),k4_ordinal1) & r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),I),k1_afinsq_1(N)) & ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),I),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),H)) & ~ r1_xxreal_0(k1_afinsq_1(N),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),H)) & ! [T] : ( v1_int_1(T) => ( T = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),H) => ! [U] : ( v7_ordinal1(U) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G))))),G),I),U) => r1_xxreal_0(k1_funct_1(N,U),k1_funct_1(N,T)) ) ) ) ) ) ) ) & ! [Q] : ( m1_subset_1(Q,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),Q,k36_aofa_a00(A)),J) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),k4_ordinal1) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H),k4_ordinal1) & r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),k1_afinsq_1(N)) & ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H)) & ~ r1_xxreal_0(k1_afinsq_1(N),k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H)) & ! [V] : ( v1_int_1(V) => ( V = k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),H) => ! [W] : ( v7_ordinal1(W) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),Q,G),I),W) => r1_xxreal_0(k1_funct_1(N,W),k1_funct_1(N,V)) ) ) ) ) ) => ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k36_aofa_a00(A)),J) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),I),k4_ordinal1) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),H),k4_ordinal1) & r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),I),k1_afinsq_1(N)) & ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),I),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),H)) & ~ r1_xxreal_0(k1_afinsq_1(N),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),H)) & ! [X] : ( v1_int_1(X) => ( X = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),H) => ! [Y] : ( v7_ordinal1(Y) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),I),Y) => r1_xxreal_0(k1_funct_1(N,Y),k1_funct_1(N,X)) ) ) ) ) & ( r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) => ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),I)) ) ) & ( ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),G),I)) ) => r2_tarski(k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,Q,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),K,k2_aofa_a01(A,D))) ) ) ) ) ) => ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),k36_aofa_a00(A)),J) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),I),k4_ordinal1) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),H),k4_ordinal1) & r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),I),k1_afinsq_1(N)) & ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),I),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),H)) & ~ r1_xxreal_0(k1_afinsq_1(N),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),H)) & ! [Z] : ( v1_int_1(Z) => ( Z = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),H) => ! [A1] : ( v7_ordinal1(A1) => ( ~ r1_xxreal_0(k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),I),A1) => r1_xxreal_0(k1_funct_1(N,A1),k1_funct_1(N,Z)) ) ) ) ) & ~ ( k1_funct_1(k1_msafree4(u1_struct_0(A),L,k36_aofa_a00(A)),J) = k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),k36_aofa_a00(A)),J) & ~ r1_xxreal_0(k14_aofa_a00(A,B,C,D,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),L),k1_funct_1(k1_msafree4(u1_struct_0(A),k2_binop_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),u1_struct_0(F),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),M,k3_aofa_a01(A,B,C,E,K,D,F,M,k3_aofa_a01(A,B,C,E,K,D,F,M,L,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k26_aofa_a00(A,C,G))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k27_aofa_a00(A,C,G))),k16_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k37_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k13_aofa_000(F,k15_aofa_000(F,k6_aofa_a01(A,B,C,E,F,K,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),J),G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,H))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,H,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I))),k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),F,G,I,k29_aofa_a00(A,C,G,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),G,I),k27_aofa_a00(A,C,G)))))),G),I)) ) ) ) ) )).
fof(s5_cqc_lang__e2_29__cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C = k7_cqc_sim1(A,B) <=> ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k3_cqc_lang(A),k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k4_ordinal1))) & C = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,B) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k5_cqc_lang(A)) = k5_numbers & ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v5_relat_1(I,k3_qc_lang1(A)) & v3_card_1(I,H) & m2_finseq_1(I,k2_qc_lang1(A)) ) => ! [J] : ( m2_subset_1(J,k6_qc_lang1(A),k8_qc_lang1(A,H)) => ( k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k4_cqc_lang(H,A,J,I)) = k5_numbers & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k6_cqc_lang(A,E)) = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,E) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k7_cqc_lang(A,E,F)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,E),k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,F)) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,k11_cqc_lang(A,G,E)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,D,E),1) ) ) ) ) ) ) ) ) ) ) ) => k7_cqc_sim1(A,k5_cqc_lang(A)) = k5_numbers ) ) )).
fof(s5_cqc_lang__e3_15__valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_valuat_1(C,A,B) ) => ( ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ( E = k8_valuat_1(A,B,C,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)))) & E = k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,D) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,k5_cqc_lang(A)) = k10_subset_1(k8_funcop_1(k5_margrel1,k2_valuat_1(A,B),k7_margrel1),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [I] : ( m2_subset_1(I,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v5_relat_1(K,k3_qc_lang1(A)) & v3_card_1(K,J) & m2_finseq_1(K,k2_qc_lang1(A)) ) => ! [L] : ( m2_subset_1(L,k6_qc_lang1(A),k8_qc_lang1(A,J)) => ( k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,k4_cqc_lang(J,A,L,K)) = k5_valuat_1(A,B,J,K,k7_valuat_1(A,B,J,C,L)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,k6_cqc_lang(A,G)) = k10_subset_1(k14_margrel1(k2_valuat_1(A,B),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,G)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,k7_cqc_lang(A,G,H)) = k10_subset_1(k15_margrel1(k2_valuat_1(A,B),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,G),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,H)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,k11_cqc_lang(A,I,G)) = k10_subset_1(k3_valuat_1(A,B,I,k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),F,G)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) ) ) ) ) ) ) ) ) ) ) => k8_valuat_1(A,B,C,k5_cqc_lang(A)) = k10_subset_1(k8_funcop_1(k5_margrel1,k2_valuat_1(A,B),k7_margrel1),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) ) )).
fof(s5_filter_1__e4_35_1__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,B) => k1_binop_1(k6_filter_1(A,B,C,D),k1_domain_1(A,B,E,G),k1_domain_1(A,B,F,H)) = k1_binop_1(k6_filter_1(A,B,C,D),k1_domain_1(A,B,F,H),k1_domain_1(A,B,E,G)) ) ) ) ) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(A,B)) => ! [F] : ( m1_subset_1(F,k2_zfmisc_1(A,B)) => k1_binop_1(k6_filter_1(A,B,C,D),E,F) = k1_binop_1(k6_filter_1(A,B,C,D),F,E) ) ) ) ) )).
fof(s5_filter_1__e4_41_1__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,B) => ! [J] : ( m1_subset_1(J,B) => k1_binop_1(k6_filter_1(A,B,C,E),k1_domain_1(A,B,G,I),k1_binop_1(k6_filter_1(A,B,D,F),k1_domain_1(A,B,G,I),k1_domain_1(A,B,H,J))) = k1_domain_1(A,B,G,I) ) ) ) ) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(A,B)) => ! [H] : ( m1_subset_1(H,k2_zfmisc_1(A,B)) => k1_binop_1(k6_filter_1(A,B,C,E),G,k1_binop_1(k6_filter_1(A,B,D,F),G,H)) = G ) ) ) ) )).
fof(s5_finseq_1__e10_19__grsolv_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m2_finseq_1(D,k1_group_3(A)) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k1_group_3(k10_group_6(A,B,C))) => ~ ? [G] : ( v15_algstr_0(G) & m1_group_2(G,A) & G = k1_funct_1(D,E) & F = k2_grsolv_1(A,B,C,G) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k1_group_3(k10_group_6(A,B,C))) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ? [H] : ( v15_algstr_0(H) & m1_group_2(H,A) & H = k1_funct_1(D,F) & k1_funct_1(E,F) = k2_grsolv_1(A,B,C,H) ) ) ) ) ) ) )).
fof(s5_finseq_1__e10_31_1__int_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_numbers)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_numbers)) & m1_trees_4(D,k4_numbers,B) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k1_euler_1(A))) & ! [F] : ( m1_subset_1(F,C) => ~ r2_tarski(k1_funct_1(D,E),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),F)) ) ) ) => ? [E] : ( m2_finseq_1(E,C) & k4_finseq_1(E) = k2_finseq_1(k1_euler_1(A)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k1_euler_1(A))) => r2_tarski(k1_funct_1(D,F),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),k1_funct_1(E,F))) ) ) ) ) ) )).
fof(s5_finseq_1__e12_24__goboard1,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(B))) & ! [D] : ( m1_subset_1(D,k1_numbers) => ~ ( r2_tarski(D,k4_finseq_1(A)) & ! [E] : ( v7_ordinal1(E) => ( E = D => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,E))) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(B))) => ( r2_tarski(k1_funct_1(C,D),k4_finseq_1(A)) & ! [F] : ( v7_ordinal1(F) => ( F = k1_funct_1(C,D) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,F))) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e12_28__goboard1,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(B))) & ! [D] : ( m1_subset_1(D,k1_numbers) => ~ ( r2_tarski(D,k2_finseq_1(k1_matrix_0(A))) & ! [E] : ( v7_ordinal1(E) => ( E = D => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,E))) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(B))) => ( r2_tarski(k1_funct_1(C,D),k2_finseq_1(k1_matrix_0(A))) & ! [F] : ( v7_ordinal1(F) => ( F = k1_funct_1(C,D) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,F))) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e12_66_1__hurwitz,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k1_complfld)) => C != k2_complfld(k7_partfun1(u1_struct_0(k1_complfld),A,B)) ) ) ) => ? [B] : ( m2_finseq_1(B,u1_struct_0(k1_complfld)) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(B,C) = k2_complfld(k7_partfun1(u1_struct_0(k1_complfld),A,C)) ) ) ) ) ) )).
fof(s5_finseq_1__e13_18__random_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m2_finseq_1(C,A) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k1_numbers) => E != k12_supinf_2(B,k1_funct_1(C,D)) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => k1_funct_1(D,E) = k12_supinf_2(B,k1_funct_1(C,E)) ) ) ) ) ) )).
fof(s5_finseq_1__e13_29_1_1__matrix11,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m2_finseq_1(B,u1_struct_0(k10_matrix_1(A))) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k10_matrix_1(k1_nat_1(A,1)))) => ~ ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_matrix_1(F,k9_matrix_1(A)) => ~ ( r2_tarski(E,k4_finseq_1(B)) & k1_funct_1(B,E) = F & E = C & ! [G] : ( m1_matrix_1(G,k9_matrix_1(k1_nat_1(A,1))) => ~ ( G = D & v5_matrix_1(G,k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))) & k1_funct_1(G,k1_nat_1(A,1)) = k1_nat_1(A,1) & F = k2_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),G,k2_finseq_1(A)) ) ) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(k10_matrix_1(k1_nat_1(A,1)))) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(B))) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_matrix_1(I,k9_matrix_1(A)) => ~ ( r2_tarski(H,k4_finseq_1(B)) & k1_funct_1(B,H) = I & H = D & ! [J] : ( m1_matrix_1(J,k9_matrix_1(k1_nat_1(A,1))) => ~ ( J = k1_funct_1(C,D) & v5_matrix_1(J,k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))) & k1_funct_1(J,k1_nat_1(A,1)) = k1_nat_1(A,1) & I = k2_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),J,k2_finseq_1(A)) ) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e13_31__int_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_numbers)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_numbers)) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k1_euler_1(A))) & ! [E] : ( m1_subset_1(E,B) => ~ r2_tarski(E,k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),k1_funct_1(k14_finseq_1(C),D))) ) ) ) => ? [D] : ( m2_finseq_1(D,B) & k4_finseq_1(D) = k2_finseq_1(k1_euler_1(A)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k1_euler_1(A))) => r2_tarski(k1_funct_1(D,E),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),k1_funct_1(k14_finseq_1(C),E))) ) ) ) ) ) )).
fof(s5_finseq_1__e13_67_1_2_1__int_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_numbers)) & m1_trees_4(C,k4_numbers,B) & ~ v1_xboole_0(D) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(A)) & ! [F] : ( m1_subset_1(F,D) => ~ r2_tarski(k1_funct_1(C,E),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),F)) ) ) ) => ? [E] : ( m2_finseq_1(E,D) & k4_finseq_1(E) = k2_finseq_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(A)) => r2_tarski(k1_funct_1(C,F),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),k1_funct_1(E,F))) ) ) ) ) ) )).
fof(s5_finseq_1__e14_17_1_2_15__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v7_ordinal1(F) & m2_finseq_1(G,u1_struct_0(A)) ) => ( ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k2_finseq_1(k3_finseq_1(G))) & ! [I] : ( m1_subset_1(I,k1_numbers) => I != k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,C,D),H),k2_integra1(B,k2_integra2(B,C,E),F))) ) ) ) => ? [H] : ( m2_finseq_1(H,k1_numbers) & k4_finseq_1(H) = k2_finseq_1(k3_finseq_1(G)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k2_finseq_1(k3_finseq_1(G))) => k1_funct_1(H,I) = k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,C,D),I),k2_integra1(B,k2_integra2(B,C,E),F))) ) ) ) ) ) )).
fof(s5_finseq_1__e14_17__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) & m2_finseq_1(C,k1_numbers) & v1_prob_2(D) & m2_finseq_1(D,k1_random_1(A)) & v1_prob_2(E) & m2_finseq_1(E,k1_random_1(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) & ! [G] : ( m1_subset_1(G,k6_numbers) => G != k1_extreal1(k12_supinf_2(C,F),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,E,B),F)) ) ) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(D)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(D))) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(C,G),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,E,B),G)) ) ) ) ) ) )).
fof(s5_finseq_1__e14_90__polynom5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k1_algseq_1(k1_complfld,A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => D != k9_polynom5(k1_complfld,k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),A,k7_nat_d(C,1)),k7_nat_d(C,1)) ) ) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(B)) & k4_finseq_1(C) = k2_finseq_1(k1_algseq_1(k1_complfld,A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k1_algseq_1(k1_complfld,A))) => k1_funct_1(C,D) = k9_polynom5(k1_complfld,k3_funct_2(k4_ordinal1,u1_struct_0(k1_complfld),A,k7_nat_d(D,1)),k7_nat_d(D,1)) ) ) ) ) ) )).
fof(s5_finseq_1__e20_16__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k6_numbers) => ~ ( ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(E,k4_finseq_1(D)) & E = 1 ) => F = k1_supinf_2 ) ) & ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(E,k4_finseq_1(D)) & r1_xxreal_0(2,E) & r2_tarski(G,k1_funct_1(D,E)) ) => F = k12_supinf_2(C,G) ) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k6_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ( ! [H] : ( m1_subset_1(H,A) => ( ( r2_tarski(F,k4_finseq_1(D)) & F = 1 ) => k1_funct_1(E,F) = k1_supinf_2 ) ) & ! [H] : ( m1_subset_1(H,A) => ( ( r2_tarski(F,k4_finseq_1(D)) & r1_xxreal_0(2,F) & r2_tarski(H,k1_funct_1(D,F)) ) => k1_funct_1(E,F) = k12_supinf_2(C,H) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e21_17__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) & v1_prob_2(C) & m2_finseq_1(C,k1_random_1(A)) & m2_finseq_1(D,k1_numbers) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & ! [F] : ( m1_subset_1(F,k6_numbers) => F != k1_extreal1(k12_supinf_2(D,E),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,C,B),E)) ) ) ) => ? [E] : ( m2_finseq_1(E,k6_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => k1_funct_1(E,F) = k1_extreal1(k12_supinf_2(D,F),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,C,B),F)) ) ) ) ) ) )).
fof(s5_finseq_1__e24_19__random_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_prob_2(C) & m2_finseq_1(C,k1_random_1(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k1_numbers) => ~ ! [F] : ( r2_hidden(F,k1_funct_1(C,D)) => E = k1_funct_1(k18_rfunct_3(A,B),F) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ! [G] : ( r2_hidden(G,k1_funct_1(C,E)) => k1_funct_1(D,E) = k1_funct_1(k18_rfunct_3(A,B),G) ) ) ) ) ) ) )).
fof(s5_finseq_1__e25_74_2_4__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & m2_finseq_1(C,u1_struct_0(B)) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) & ! [E] : ( m1_subset_1(E,k1_numbers) => E != k2_normsp_0(B,k7_partfun1(u1_struct_0(B),C,D)) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(A)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(D,E) = k2_normsp_0(B,k7_partfun1(u1_struct_0(B),C,E)) ) ) ) ) ) )).
fof(s5_finseq_1__e27_19__random_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_prob_2(C) & m2_finseq_1(C,k1_random_1(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k1_numbers) => ~ ! [F] : ( r2_hidden(F,k1_funct_1(C,D)) => E = k1_funct_1(k19_rfunct_3(A,B),F) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ! [G] : ( r2_hidden(G,k1_funct_1(C,E)) => k1_funct_1(D,E) = k1_funct_1(k19_rfunct_3(A,B),G) ) ) ) ) ) ) )).
fof(s5_finseq_1__e29_2_1_7_1_2_2_1_2__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m1_subset_1(D,k4_ordinal1) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) & ! [G] : ( m1_subset_1(G,B) => ~ ( ( r1_xxreal_0(F,k3_finseq_1(E)) => G = k1_funct_1(E,F) ) & ( F = k1_nat_1(k3_finseq_1(E),1) => G = k1_funct_1(C,k1_nat_1(D,1)) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,B) & k4_finseq_1(F) = k2_finseq_1(k1_nat_1(k3_finseq_1(E),1)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k1_nat_1(k3_finseq_1(E),1))) => ( ( r1_xxreal_0(G,k3_finseq_1(E)) => k1_funct_1(F,G) = k1_funct_1(E,G) ) & ( G = k1_nat_1(k3_finseq_1(E),1) => k1_funct_1(F,G) = k1_funct_1(C,k1_nat_1(D,1)) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e2_10__random_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(k19_finseq_1(k1_relset_1(A,B))))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => D != k1_tarski(k1_funct_1(k19_finseq_1(k1_relset_1(A,B)),C)) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_zfmisc_1(A)) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(k19_finseq_1(k1_relset_1(A,B)))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(k19_finseq_1(k1_relset_1(A,B))))) => k1_funct_1(C,D) = k1_tarski(k1_funct_1(k19_finseq_1(k1_relset_1(A,B)),D)) ) ) ) ) ) )).
fof(s5_finseq_1__e2_21__group_12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_group_7(B) & v2_group_7(B,k2_finseq_1(A)) & v3_group_7(B,k2_finseq_1(A)) & m1_subset_1(C,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ~ ? [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(k1_group_7(k2_finseq_1(A),B,F))) & F = D & k1_funct_1(C,F) = G & E = k1_funct_7(k1_group_1(k2_group_7(k2_finseq_1(A),B)),F,G) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) & k4_finseq_1(D) = k2_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => ? [H] : ( m2_subset_1(H,k4_ordinal1,k2_finseq_1(A)) & ? [I] : ( m1_subset_1(I,u1_struct_0(k1_group_7(k2_finseq_1(A),B,H))) & H = E & k1_funct_1(C,H) = I & k1_funct_1(D,E) = k1_funct_7(k1_group_1(k2_group_7(k2_finseq_1(A),B)),H,I) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e2_33_1_1__integr21,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v7_ordinal1(C) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(k2_integra2(A,B,C)))) & ! [E] : ( m1_subset_1(E,k1_numbers) => E != k3_integra1(k2_integra1(A,k2_integra2(A,B,C),D)) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(k2_integra2(A,B,C))) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(k2_integra2(A,B,C)))) => k1_funct_1(D,E) = k3_integra1(k2_integra1(A,k2_integra2(A,B,C),E)) ) ) ) ) ) )).
fof(s5_finseq_1__e2_39_1__pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) & m2_finseq_2(E,k1_numbers,k1_euclid(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(A)) & ! [G] : ( m1_subset_1(G,k1_euclid(B)) => ~ ? [H] : ( v7_ordinal1(H) & H = F & G = k9_euclid(B,k11_pdiff_1(A,B,H,C,D),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(H,A),E)) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k1_euclid(B)) & k4_finseq_1(F) = k2_finseq_1(A) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(A)) => ? [I] : ( v7_ordinal1(I) & I = G & k1_funct_1(F,G) = k9_euclid(B,k11_pdiff_1(A,B,I,C,D),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(I,A),E)) ) ) ) ) ) ) )).
fof(s5_finseq_1__e2_61_2__polynom8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,u1_struct_0(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => G != k2_polynom8(A,E,k3_xcmplx_0(k6_xcmplx_0(C,D),k6_xcmplx_0(F,1))) ) ) ) => ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & k4_finseq_1(F) = k2_finseq_1(B) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(B)) => k1_funct_1(F,G) = k2_polynom8(A,E,k3_xcmplx_0(k6_xcmplx_0(C,D),k6_xcmplx_0(G,1))) ) ) ) ) ) )).
fof(s5_finseq_1__e2_62_1_1__polynom8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,u1_struct_0(A)) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => G != k2_polynom8(A,C,k3_xcmplx_0(k6_xcmplx_0(D,E),k6_xcmplx_0(F,1))) ) ) ) => ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & k4_finseq_1(F) = k2_finseq_1(B) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(B)) => k1_funct_1(F,G) = k2_polynom8(A,C,k3_xcmplx_0(k6_xcmplx_0(D,E),k6_xcmplx_0(G,1))) ) ) ) ) ) )).
fof(s5_finseq_1__e2_64_1_11_4__polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => D != k4_struct_0(A) ) ) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & k4_finseq_1(C) = k2_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(B)) => k1_funct_1(C,D) = k4_struct_0(A) ) ) ) ) ) )).
fof(s5_finseq_1__e2_70__ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(1)) & ! [C] : ( m1_subset_1(C,k1_hilbert1) => C != A ) ) ) => ? [B] : ( m2_finseq_1(B,k1_hilbert1) & k4_finseq_1(B) = k2_finseq_1(1) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(1)) => k1_funct_1(B,C) = A ) ) ) ) ) )).
fof(s5_finseq_1__e2_7_1_1_1__polynom8,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => D != k5_struct_0(A) ) ) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(A)) & k4_finseq_1(C) = k2_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(B)) => k1_funct_1(C,D) = k5_struct_0(A) ) ) ) ) ) )).
fof(s5_finseq_1__e2_95_2_2_1__armstrng,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_finseq_1(C,B) & ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) & m1_subset_1(E,A) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(D)) & ! [G] : ( m1_subset_1(G,k5_margrel1) => ~ ( ( r2_tarski(E,k1_funct_1(C,F)) => G = k5_numbers ) & ( ~ r2_tarski(E,k1_funct_1(C,F)) => G = 1 ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k5_margrel1) & k4_finseq_1(F) = k2_finseq_1(D) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(D)) => ( ( r2_tarski(E,k1_funct_1(C,G)) => k1_funct_1(F,G) = k5_numbers ) & ( ~ r2_tarski(E,k1_funct_1(C,G)) => k1_funct_1(F,G) = 1 ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e32_90__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_finseq_1(C,k6_numbers) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) & v1_prob_2(F) & m2_finseq_1(F,B) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(F))) & ! [H] : ( m1_subset_1(H,k6_numbers) => ~ ( ( k1_funct_1(D,k1_nat_1(k3_nat_d(k7_nat_d(G,1),k3_finseq_1(C)),1)) = k1_xboole_0 => H = k5_numbers ) & ( k1_funct_1(D,k1_nat_1(k3_nat_d(k7_nat_d(G,1),k3_finseq_1(C)),1)) != k1_xboole_0 => H = k12_supinf_2(E,k1_nat_1(k3_nat_d(k7_nat_d(G,1),k3_finseq_1(C)),1)) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k6_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(F)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(F))) => ( ( k1_funct_1(D,k1_nat_1(k3_nat_d(k7_nat_d(H,1),k3_finseq_1(C)),1)) = k1_xboole_0 => k1_funct_1(G,H) = k5_numbers ) & ( k1_funct_1(D,k1_nat_1(k3_nat_d(k7_nat_d(H,1),k3_finseq_1(C)),1)) != k1_xboole_0 => k1_funct_1(G,H) = k12_supinf_2(E,k1_nat_1(k3_nat_d(k7_nat_d(H,1),k3_finseq_1(C)),1)) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e35_2_1_7_1_2_2_1_2__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) & m2_finseq_1(E,k6_numbers) & m1_subset_1(F,k4_ordinal1) & m2_finseq_1(G,k6_numbers) & m2_finseq_1(H,k6_numbers) & m2_finseq_1(I,B) ) => ( ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k2_finseq_1(k1_nat_1(k3_finseq_1(H),1))) & ! [K] : ( m1_subset_1(K,k6_numbers) => ~ ( ( r1_xxreal_0(J,k3_finseq_1(H)) => K = k1_extreal1(k12_supinf_2(G,J),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,I,C),J)) ) & ( J = k1_nat_1(k3_finseq_1(H),1) => K = k1_extreal1(k12_supinf_2(E,k1_nat_1(F,1)),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),k1_nat_1(F,1))) ) ) ) ) ) => ? [J] : ( m2_finseq_1(J,k6_numbers) & k4_finseq_1(J) = k2_finseq_1(k1_nat_1(k3_finseq_1(H),1)) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k2_finseq_1(k1_nat_1(k3_finseq_1(H),1))) => ( ( r1_xxreal_0(K,k3_finseq_1(H)) => k1_funct_1(J,K) = k1_extreal1(k12_supinf_2(G,K),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,I,C),K)) ) & ( K = k1_nat_1(k3_finseq_1(H),1) => k1_funct_1(J,K) = k1_extreal1(k12_supinf_2(E,k1_nat_1(F,1)),k12_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C),k1_nat_1(F,1))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e38_19__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) & v1_prob_2(C) & m2_finseq_1(C,k1_random_1(A)) & m2_finseq_1(D,k1_numbers) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & ! [F] : ( m1_subset_1(F,k6_numbers) => F != k1_extreal1(k12_supinf_2(D,E),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,C,B),E)) ) ) ) => ? [E] : ( m2_finseq_1(E,k6_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => k1_funct_1(E,F) = k1_extreal1(k12_supinf_2(D,F),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,C,B),F)) ) ) ) ) ) )).
fof(s5_finseq_1__e3_11_1_1__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [H] : ( m1_subset_1(H,k1_numbers) => ~ ( r2_tarski(H,k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)))) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & I = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)),H) & k1_funct_1(k2_integr18(A,B,C,D,E,F),G) = k1_rlvect_1(A,I,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),G))) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) => ( r2_tarski(k1_funct_1(G,H),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)),k1_funct_1(G,H)) & k1_funct_1(k2_integr18(A,B,C,D,E,F),H) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),H))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_11_1_2__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),G),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)))) & I = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),G)) & H = k1_rlvect_1(A,I,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),G))) ) ) ) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(A)) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) => ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),H),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)))) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),H)) & k1_funct_1(G,H) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),H))) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_13_1_1__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [H] : ( m1_subset_1(H,k1_numbers) => ~ ( r2_tarski(H,k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)))) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & I = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)),H) & k1_funct_1(k2_integr18(A,B,C,D,E,F),G) = k1_rlvect_1(A,I,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),G))) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) => ( r2_tarski(k1_funct_1(G,H),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)),k1_funct_1(G,H)) & k1_funct_1(k2_integr18(A,B,C,D,E,F),H) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),H))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_13_1_2__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),G),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)))) & I = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),G)) & H = k1_rlvect_1(A,I,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),G))) ) ) ) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(A)) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) => ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),H),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)))) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),H)) & k1_funct_1(G,H) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),H))) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_13_1_4__integr18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),G),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)))) & I = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),G)) & H = k1_rlvect_1(A,I,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),G))) ) ) ) ) => ? [G] : ( m2_finseq_1(G,u1_struct_0(A)) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) => ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),H),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)))) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),E,F),H)) & k1_funct_1(G,H) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),H))) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_14__integr20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m2_finseq_1(B,u1_struct_0(A)) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(B))) & ! [D] : ( m1_subset_1(D,k1_numbers) => ~ ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & E = k7_partfun1(u1_struct_0(A),B,C) & D = k2_normsp_0(A,E) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(B))) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & F = k7_partfun1(u1_struct_0(A),B,D) & k1_funct_1(C,D) = k2_normsp_0(A,F) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_17_1_1__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr18(E,A,B,C,D) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) & ! [H] : ( m1_subset_1(H,k1_numbers) => ~ ( r2_tarski(H,k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)))) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & I = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),G)),H) & k1_funct_1(k2_integr18(A,B,C,D,E,F),G) = k1_rlvect_1(A,I,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),G))) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(k2_integra2(B,D,F)))) => ( r2_tarski(k1_funct_1(G,H),k1_relset_1(B,k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)))) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & J = k1_funct_1(k2_partfun1(B,u1_struct_0(A),C,k2_integra1(B,k2_integra2(B,D,F),H)),k1_funct_1(G,H)) & k1_funct_1(k2_integr18(A,B,C,D,E,F),H) = k1_rlvect_1(A,J,k3_integra1(k2_integra1(B,k2_integra2(B,D,F),H))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_17_1__integr19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,A,k1_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(B)) & ! [E] : ( m1_subset_1(E,k1_numbers) => ~ ? [F] : ( m1_subset_1(F,k1_numbers) & r1_xxreal_0(k5_numbers,F) & F = E & ! [G] : ~ ( r2_tarski(G,k1_relset_1(A,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(D,B)))) & r1_xxreal_0(F,k9_complex1(k1_funct_1(k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(D,B)),G))) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k4_finseq_1(D) = k2_finseq_1(B) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(B)) => ? [H] : ( m1_subset_1(H,k1_numbers) & r1_xxreal_0(k5_numbers,H) & H = k1_funct_1(D,E) & ! [I] : ~ ( r2_tarski(I,k1_relset_1(A,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(E,B)))) & r1_xxreal_0(H,k9_complex1(k1_funct_1(k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(E,B)),I))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_17__nbvectsp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k5_nbvectsp(B))) & v1_funct_1(C) & v1_finseq_1(C) & v7_ordinal1(D) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(A)) & ! [F] : ( m1_subset_1(F,k5_margrel1) => ~ ? [G] : ( m2_finseq_2(G,k5_margrel1,k4_finseq_2(B,k5_margrel1)) & G = k1_funct_1(C,E) & F = k10_descip_1(B,G,D) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k5_margrel1) & k4_finseq_1(E) = k2_finseq_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(A)) => ? [H] : ( m2_finseq_2(H,k5_margrel1,k4_finseq_2(B,k5_margrel1)) & H = k1_funct_1(C,F) & k1_funct_1(E,F) = k10_descip_1(B,H,D) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_19_1__nbvectsp,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,k5_margrel1) => ~ ( ( B = C => D = k7_margrel1 ) & ( B != C => D = k6_margrel1 ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k5_margrel1) & k4_finseq_1(C) = k2_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => ( ( B = D => k1_funct_1(C,D) = k7_margrel1 ) & ( B != D => k1_funct_1(C,D) = k6_margrel1 ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_19__nbvectsp,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,k4_finseq_2(B,k5_margrel1)) => ~ ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(B)) => ( ( C = E => k1_funct_1(D,E) = k7_margrel1 ) & ( C != E => k1_funct_1(D,E) = k6_margrel1 ) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k4_finseq_2(B,k5_margrel1)) & k4_finseq_1(C) = k2_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(B)) => ( ( D = F => k1_funct_1(k1_funct_1(C,D),F) = k7_margrel1 ) & ( D != F => k1_funct_1(k1_funct_1(C,D),F) = k6_margrel1 ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_20_1__integr19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & v1_funct_2(C,A,k1_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m1_subset_1(E,k4_ordinal1) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(k2_integra2(A,D,E)))) & ! [G] : ( m1_subset_1(G,k1_numbers) => ~ ( r2_tarski(G,k1_relset_1(A,k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,E),F)))) & ? [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(B)) & H = k1_funct_1(k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,E),F)),G) & k1_funct_1(k5_integr15(B,A,C,D,o_4_0_integr19(A,B,C,D),E),F) = k9_euclid(B,H,k3_integra1(k2_integra1(A,k2_integra2(A,D,E),F))) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k1_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(k2_integra2(A,D,E))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(A,D,E)))) => ( r2_tarski(k1_funct_1(F,G),k1_relset_1(A,k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,E),G)))) & ? [I] : ( m2_finseq_2(I,k1_numbers,k1_euclid(B)) & I = k1_funct_1(k2_partfun1(A,k1_euclid(B),C,k2_integra1(A,k2_integra2(A,D,E),G)),k1_funct_1(F,G)) & k1_funct_1(k5_integr15(B,A,C,D,o_4_0_integr19(A,B,C,D),E),G) = k9_euclid(B,I,k3_integra1(k2_integra1(A,k2_integra2(A,D,E),G))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_20_2__integr19,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & m1_subset_1(E,k4_ordinal1) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(k2_integra2(A,C,E)))) & ! [G] : ( m1_subset_1(G,k1_numbers) => ~ ? [H] : ( m1_subset_1(H,k1_numbers) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),F),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),F)))) & H = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),F)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),F)) & G = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),F)),H) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k1_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(k2_integra2(A,C,E))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(A,C,E)))) => ? [I] : ( m1_subset_1(I,k1_numbers) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),G),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),G)))) & I = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),G)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),G)) & k1_funct_1(F,G) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),G)),I) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_21_4__pdiff_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) & v7_ordinal1(E) & m1_subset_1(F,u1_struct_0(k4_real_ns1(A))) & v1_xreal_0(G) ) => ( ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k2_finseq_1(B)) & ! [I] : ( m1_subset_1(I,k1_numbers) => ~ ? [J] : ( m1_subset_1(J,k4_ordinal1) & ? [K] : ( v1_xreal_0(K) & I = K & H = J & ~ r1_xxreal_0(K,k5_numbers) & ! [L] : ( m1_subset_1(L,u1_struct_0(k4_real_ns1(A))) => ~ ( r2_tarski(L,D) & ~ r1_xxreal_0(K,k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),L,F))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(G,2),B),k2_normsp_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1)),k5_algstr_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1)),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1))),k14_pdiff_1(A,1,E,k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(J,B)),D),L),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1))),k14_pdiff_1(A,1,E,k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(J,B)),D),F)))) ) ) ) ) ) ) ) => ? [H] : ( m2_finseq_1(H,k1_numbers) & k4_finseq_1(H) = k2_finseq_1(B) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k2_finseq_1(B)) => ? [M] : ( m1_subset_1(M,k4_ordinal1) & ? [N] : ( v1_xreal_0(N) & k1_funct_1(H,I) = N & I = M & ~ r1_xxreal_0(N,k5_numbers) & ! [O] : ( m1_subset_1(O,u1_struct_0(k4_real_ns1(A))) => ~ ( r2_tarski(O,D) & ~ r1_xxreal_0(N,k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),O,F))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(G,2),B),k2_normsp_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1)),k5_algstr_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1)),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1))),k14_pdiff_1(A,1,E,k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(M,B)),D),O),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1))),k14_pdiff_1(A,1,E,k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(M,B)),D),F)))) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_22_4__pdiff_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) & m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) & v1_xreal_0(F) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(B)) & ! [H] : ( m1_subset_1(H,k1_numbers) => ~ ? [I] : ( m1_subset_1(I,k4_ordinal1) & ? [J] : ( v1_xreal_0(J) & H = J & G = I & ~ r1_xxreal_0(J,k5_numbers) & ! [K] : ( m1_subset_1(K,u1_struct_0(k4_real_ns1(A))) => ~ ( r2_tarski(K,D) & ~ r1_xxreal_0(J,k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),K,E))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(F,2),B),k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1))),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(I,B)),D),K),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1))),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(I,B)),D),E)))) ) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_numbers) & k4_finseq_1(G) = k2_finseq_1(B) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(B)) => ? [L] : ( m1_subset_1(L,k4_ordinal1) & ? [M] : ( v1_xreal_0(M) & k1_funct_1(G,H) = M & H = L & ~ r1_xxreal_0(M,k5_numbers) & ! [N] : ( m1_subset_1(N,u1_struct_0(k4_real_ns1(A))) => ~ ( r2_tarski(N,D) & ~ r1_xxreal_0(M,k2_normsp_0(k4_real_ns1(A),k5_algstr_0(k4_real_ns1(A),N,E))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(F,2),B),k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1))),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(L,B)),D),N),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1))),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(L,B)),D),E)))) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_23_1__integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) & v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m1_subset_1(E,k4_ordinal1) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(k2_integra2(A,D,E)))) & ! [G] : ( m1_subset_1(G,k1_numbers) => ~ ( r2_tarski(G,k1_relset_1(A,k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,E),F)))) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & H = k1_funct_1(k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,E),F)),G) & k1_funct_1(k2_integr18(B,A,C,D,o_4_1_integr21(A,B,C,D),E),F) = k1_rlvect_1(B,H,k3_integra1(k2_integra1(A,k2_integra2(A,D,E),F))) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k1_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(k2_integra2(A,D,E))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(A,D,E)))) => ( r2_tarski(k1_funct_1(F,G),k1_relset_1(A,k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,E),G)))) & ? [I] : ( m1_subset_1(I,u1_struct_0(B)) & I = k1_funct_1(k2_partfun1(A,u1_struct_0(B),C,k2_integra1(A,k2_integra2(A,D,E),G)),k1_funct_1(F,G)) & k1_funct_1(k2_integr18(B,A,C,D,o_4_1_integr21(A,B,C,D),E),G) = k1_rlvect_1(B,I,k3_integra1(k2_integra1(A,k2_integra2(A,D,E),G))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_23_2__integr21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k3_finseq_2(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k3_finseq_2(k1_numbers)))) & m1_subset_1(E,k4_ordinal1) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(k2_integra2(A,C,E)))) & ! [G] : ( m1_subset_1(G,k1_numbers) => ~ ? [H] : ( m1_subset_1(H,k1_numbers) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),F),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),F)))) & H = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),F)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),F)) & G = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),F)),H) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k1_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(k2_integra2(A,C,E))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(k2_integra2(A,C,E)))) => ? [I] : ( m1_subset_1(I,k1_numbers) & r2_tarski(k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),G),k1_relset_1(A,k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),G)))) & I = k1_funct_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,k2_integra2(A,C,E),G)),k1_funct_1(k8_finseq_2(k1_numbers,k3_finseq_2(k1_numbers),D,E),G)) & k1_funct_1(F,G) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),G)),I) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_24_2_1_1__integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr15(D,A,k5_comseq_3(A,B),C) & m1_subset_1(E,k4_ordinal1) & v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(F))) & ! [H] : ( m1_subset_1(H,k2_numbers) => ~ ? [I] : ( m1_subset_1(I,k4_ordinal1) & G = I & ? [J] : ( m1_subset_1(J,k2_numbers) & ? [K] : ( m1_subset_1(K,k1_numbers) & r2_tarski(K,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)))) & k1_funct_1(k2_integr15(A,k5_comseq_3(A,B),C,D,E),I) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),k1_funct_1(k2_partfun1(A,k1_numbers,k5_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,E),I)),K)) & J = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)),K) & H = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),J) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k2_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(F)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(F))) => ? [L] : ( m1_subset_1(L,k4_ordinal1) & H = L & ? [M] : ( m1_subset_1(M,k2_numbers) & ? [N] : ( m1_subset_1(N,k1_numbers) & r2_tarski(N,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),L)))) & k1_funct_1(k2_integr15(A,k5_comseq_3(A,B),C,D,E),L) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),L)),k1_funct_1(k2_partfun1(A,k1_numbers,k5_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,E),L)),N)) & M = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),L)),N) & k1_funct_1(G,H) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),L)),M) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_24_2_2_1__integr16,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & m2_integr15(D,A,k6_comseq_3(A,B),C) & m1_subset_1(E,k4_ordinal1) & v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(F))) & ! [H] : ( m1_subset_1(H,k2_numbers) => ~ ? [I] : ( m1_subset_1(I,k4_ordinal1) & G = I & ? [J] : ( m1_subset_1(J,k2_numbers) & ? [K] : ( m1_subset_1(K,k1_numbers) & r2_tarski(K,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)))) & k1_funct_1(k2_integr15(A,k6_comseq_3(A,B),C,D,E),I) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),k1_funct_1(k2_partfun1(A,k1_numbers,k6_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,E),I)),K)) & J = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),I)),K) & H = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),I)),J) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k2_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(F)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(F))) => ? [L] : ( m1_subset_1(L,k4_ordinal1) & H = L & ? [M] : ( m1_subset_1(M,k2_numbers) & ? [N] : ( m1_subset_1(N,k1_numbers) & r2_tarski(N,k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),L)))) & k1_funct_1(k2_integr15(A,k6_comseq_3(A,B),C,D,E),L) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),L)),k1_funct_1(k2_partfun1(A,k1_numbers,k6_comseq_3(A,B),k2_integra1(A,k2_integra2(A,C,E),L)),N)) & M = k1_funct_1(k2_partfun1(A,k2_numbers,B,k2_integra1(A,k2_integra2(A,C,E),L)),N) & k1_funct_1(G,H) = k3_xcmplx_0(k3_integra1(k2_integra1(A,k2_integra2(A,C,E),L)),M) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_2_1_7_1_1_7_1_1__mesfunc4,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k6_numbers) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(2)) & ! [D] : ( m1_subset_1(D,k6_numbers) => ~ ( ( C = 1 => D = k1_supinf_2 ) & ( C = 2 => D = k12_supinf_2(A,k1_nat_1(B,1)) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k6_numbers) & k4_finseq_1(C) = k2_finseq_1(2) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(2)) => ( ( D = 1 => k1_funct_1(C,D) = k1_supinf_2 ) & ( D = 2 => k1_funct_1(C,D) = k12_supinf_2(A,k1_nat_1(B,1)) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_2_1_7_1_1_7_1_2__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(2)) & ! [E] : ( m1_subset_1(E,B) => ~ ( ( D = 1 => E = k3_tarski(k10_xtuple_0(C)) ) & ( D = 2 => E = k1_xboole_0 ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,B) & k4_finseq_1(D) = k2_finseq_1(2) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(2)) => ( ( E = 1 => k1_funct_1(D,E) = k3_tarski(k10_xtuple_0(C)) ) & ( E = 2 => k1_funct_1(D,E) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_2_1_7_1_2_2_1_1__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m1_subset_1(D,k4_ordinal1) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(E))) & ! [G] : ( m1_subset_1(G,B) => ~ ( ( F = 1 => G = k2_xboole_0(k1_funct_1(E,1),k1_funct_1(C,k1_nat_1(D,1))) ) & ( r1_xxreal_0(2,F) => G = k1_funct_1(E,F) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,B) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(E))) => ( ( G = 1 => k1_funct_1(F,G) = k2_xboole_0(k1_funct_1(E,1),k1_funct_1(C,k1_nat_1(D,1))) ) & ( r1_xxreal_0(2,G) => k1_funct_1(F,G) = k1_funct_1(E,G) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_33_2_1_1_1__integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & m2_integr15(F,B,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),E) & m1_subset_1(G,k4_ordinal1) & v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k2_finseq_1(k3_finseq_1(H))) & ! [J] : ( m1_subset_1(J,k1_euclid(A)) => ~ ? [K] : ( m1_subset_1(K,k4_ordinal1) & I = K & ? [L] : ( m2_finseq_2(L,k1_numbers,k1_euclid(A)) & ? [M] : ( m1_subset_1(M,k1_numbers) & r2_tarski(M,k1_relset_1(B,k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,G),K)))) & k1_funct_1(k2_integr15(B,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),E,F,G),K) = k3_xcmplx_0(k3_integra1(k2_integra1(B,k2_integra2(B,E,G),K)),k1_funct_1(k2_partfun1(B,k1_numbers,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),k2_integra1(B,k2_integra2(B,E,G),K)),M)) & L = k1_funct_1(k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,G),K)),M) & J = k9_euclid(A,L,k3_integra1(k2_integra1(B,k2_integra2(B,E,G),K))) ) ) ) ) ) ) => ? [I] : ( m2_finseq_1(I,k1_euclid(A)) & k4_finseq_1(I) = k2_finseq_1(k3_finseq_1(H)) & ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k2_finseq_1(k3_finseq_1(H))) => ? [N] : ( m1_subset_1(N,k4_ordinal1) & J = N & ? [O] : ( m2_finseq_2(O,k1_numbers,k1_euclid(A)) & ? [P] : ( m1_subset_1(P,k1_numbers) & r2_tarski(P,k1_relset_1(B,k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,G),N)))) & k1_funct_1(k2_integr15(B,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),E,F,G),N) = k3_xcmplx_0(k3_integra1(k2_integra1(B,k2_integra2(B,E,G),N)),k1_funct_1(k2_partfun1(B,k1_numbers,k1_partfun1(B,k1_euclid(A),k1_euclid(A),k1_numbers,C,k1_pdiff_1(D,A)),k2_integra1(B,k2_integra2(B,E,G),N)),P)) & O = k1_funct_1(k2_partfun1(B,k1_euclid(A),C,k2_integra1(B,k2_integra2(B,E,G),N)),P) & k1_funct_1(I,J) = k9_euclid(A,O,k3_integra1(k2_integra1(B,k2_integra2(B,E,G),N))) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_51__trees_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_trees_3(C,k2_zfmisc_1(A,B)) & m2_finseq_1(D,C) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k4_trees_3(A)) => ~ ? [G] : ( m1_subset_1(G,C) & G = k1_funct_1(D,E) & F = k8_trees_3(A,B,G) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k4_trees_3(A)) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ? [H] : ( m1_subset_1(H,C) & H = k1_funct_1(D,F) & k1_funct_1(E,F) = k8_trees_3(A,B,H) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_52__trees_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & m1_trees_3(C,k2_zfmisc_1(A,B)) & m2_finseq_1(D,C) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k4_trees_3(B)) => ~ ? [G] : ( m1_subset_1(G,C) & G = k1_funct_1(D,E) & F = k9_trees_3(A,B,G) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k4_trees_3(B)) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ? [H] : ( m1_subset_1(H,C) & H = k1_funct_1(D,F) & k1_funct_1(E,F) = k9_trees_3(A,B,H) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_74_2__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) & m1_subset_1(E,u1_struct_0(k14_prvect_2(A))) & v1_xreal_0(F) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(A))) & ! [H] : ( m1_subset_1(H,k1_numbers) => ~ ? [I] : ( m1_subset_1(I,k4_ordinal1) & G = I & ~ r1_xxreal_0(H,k5_numbers) & ! [J] : ( m1_subset_1(J,u1_struct_0(k14_prvect_2(A))) => ~ ( r2_tarski(J,D) & ~ r1_xxreal_0(H,k2_normsp_0(k14_prvect_2(A),k5_algstr_0(k14_prvect_2(A),J,E))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(F,2),k3_finseq_1(A)),k2_normsp_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(I,k4_finseq_1(A))),B),k5_algstr_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(I,k4_finseq_1(A))),B),k5_ndiff_5(A,B,I,C,J),k5_ndiff_5(A,B,I,C,E)))) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(A)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(A))) => ? [K] : ( m1_subset_1(K,k4_ordinal1) & H = K & ~ r1_xxreal_0(k1_funct_1(G,H),k5_numbers) & ! [L] : ( m1_subset_1(L,u1_struct_0(k14_prvect_2(A))) => ~ ( r2_tarski(L,D) & ~ r1_xxreal_0(k1_funct_1(G,H),k2_normsp_0(k14_prvect_2(A),k5_algstr_0(k14_prvect_2(A),L,E))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(F,2),k3_finseq_1(A)),k2_normsp_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(K,k4_finseq_1(A))),B),k5_algstr_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(K,k4_finseq_1(A))),B),k5_ndiff_5(A,B,K,C,L),k5_ndiff_5(A,B,K,C,E)))) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e3_75_1_2__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) & m1_subset_1(E,u1_struct_0(k14_prvect_2(A))) & v1_xreal_0(F) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(A))) & ! [H] : ( m1_subset_1(H,k1_numbers) => ~ ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( I = G => ( ~ r1_xxreal_0(H,k5_numbers) & ! [J] : ( m1_subset_1(J,u1_struct_0(k14_prvect_2(A))) => ~ ( r2_tarski(J,D) & ~ r1_xxreal_0(H,k2_normsp_0(k14_prvect_2(A),k5_algstr_0(k14_prvect_2(A),J,E))) & r1_xxreal_0(k7_xcmplx_0(F,k2_nat_1(2,k3_finseq_1(A))),k2_normsp_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(I,k4_finseq_1(A))),B),k5_algstr_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(I,k4_finseq_1(A))),B),k7_partfun1(u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(I,k4_finseq_1(A))),B)),k6_ndiff_5(A,B,I,C,D),J),k7_partfun1(u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(I,k4_finseq_1(A))),B)),k6_ndiff_5(A,B,I,C,D),E)))) ) ) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_numbers) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(A)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(A))) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( K = H => ( ~ r1_xxreal_0(k1_funct_1(G,H),k5_numbers) & ! [L] : ( m1_subset_1(L,u1_struct_0(k14_prvect_2(A))) => ~ ( r2_tarski(L,D) & ~ r1_xxreal_0(k1_funct_1(G,H),k2_normsp_0(k14_prvect_2(A),k5_algstr_0(k14_prvect_2(A),L,E))) & r1_xxreal_0(k7_xcmplx_0(F,k2_nat_1(2,k3_finseq_1(A))),k2_normsp_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(K,k4_finseq_1(A))),B),k5_algstr_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(K,k4_finseq_1(A))),B),k7_partfun1(u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(K,k4_finseq_1(A))),B)),k6_ndiff_5(A,B,K,C,D),L),k7_partfun1(u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(K,k4_finseq_1(A))),B)),k6_ndiff_5(A,B,K,C,D),E)))) ) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e40_82__topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & m1_subset_1(B,k4_ordinal1) & m2_finseq_1(C,k1_numbers) & ~ v2_struct_0(D) & m1_pre_topc(D,k15_euclid(B)) & m2_finseq_1(E,k1_topalg_6(k4_mfold_2(A))) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(E))) & ! [G] : ( m1_subset_1(G,k1_topalg_6(k4_mfold_2(A))) => ~ ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v7_topalg_6(I,k4_mfold_2(A)) & m2_subset_1(I,k4_partfun1(k1_numbers,k2_struct_0(k4_mfold_2(A))),k1_topalg_6(k4_mfold_2(A))) ) => ~ ( H = F & I = k7_partfun1(k1_topalg_6(k4_mfold_2(A)),E,H) & ! [J] : ( ( v7_topalg_6(J,k4_mfold_2(A)) & m2_subset_1(J,k4_partfun1(k1_numbers,k2_struct_0(k4_mfold_2(A))),k1_topalg_6(k4_mfold_2(A))) ) => ~ ( J = G & r2_topalg_6(k4_mfold_2(A),J,I) & r1_tarski(k10_xtuple_0(J),u1_struct_0(D)) & k9_xtuple_0(I) = k9_xtuple_0(J) & k9_xtuple_0(I) = k1_rcomp_1(k7_partfun1(k1_numbers,C,H),k7_partfun1(k1_numbers,C,k1_nat_1(H,1))) ) ) ) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k1_topalg_6(k4_mfold_2(A))) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(E))) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( ( v7_topalg_6(L,k4_mfold_2(A)) & m2_subset_1(L,k4_partfun1(k1_numbers,k2_struct_0(k4_mfold_2(A))),k1_topalg_6(k4_mfold_2(A))) ) => ~ ( K = G & L = k7_partfun1(k1_topalg_6(k4_mfold_2(A)),E,K) & ! [M] : ( ( v7_topalg_6(M,k4_mfold_2(A)) & m2_subset_1(M,k4_partfun1(k1_numbers,k2_struct_0(k4_mfold_2(A))),k1_topalg_6(k4_mfold_2(A))) ) => ~ ( M = k1_funct_1(F,G) & r2_topalg_6(k4_mfold_2(A),M,L) & r1_tarski(k10_xtuple_0(M),u1_struct_0(D)) & k9_xtuple_0(L) = k9_xtuple_0(M) & k9_xtuple_0(L) = k1_rcomp_1(k7_partfun1(k1_numbers,C,K),k7_partfun1(k1_numbers,C,k1_nat_1(K,1))) ) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e41_90__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_finseq_1(D,k6_numbers) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(E))) & ! [G] : ( m1_subset_1(G,k6_numbers) => ~ ( ( k1_funct_1(C,k1_nat_1(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1)) = k1_xboole_0 => G = k5_numbers ) & ( k1_funct_1(C,k1_nat_1(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1)) != k1_xboole_0 => G = k12_supinf_2(D,k1_nat_1(k4_nat_d(k7_nat_d(F,1),k3_finseq_1(D)),1)) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(E))) => ( ( k1_funct_1(C,k1_nat_1(k4_nat_d(k7_nat_d(G,1),k3_finseq_1(D)),1)) = k1_xboole_0 => k1_funct_1(F,G) = k5_numbers ) & ( k1_funct_1(C,k1_nat_1(k4_nat_d(k7_nat_d(G,1),k3_finseq_1(D)),1)) != k1_xboole_0 => k1_funct_1(F,G) = k12_supinf_2(D,k1_nat_1(k4_nat_d(k7_nat_d(G,1),k3_finseq_1(D)),1)) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e46_17__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) & m2_finseq_1(C,k1_numbers) & v1_prob_2(D) & m2_finseq_1(D,k1_random_1(A)) & v1_prob_2(E) & m2_finseq_1(E,k1_random_1(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) & ! [G] : ( m1_subset_1(G,k6_numbers) => G != k1_extreal1(k12_supinf_2(C,F),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,E,B),F)) ) ) ) => ? [F] : ( m2_finseq_1(F,k6_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(D)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(D))) => k1_funct_1(F,G) = k1_extreal1(k12_supinf_2(C,G),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,E,B),G)) ) ) ) ) ) )).
fof(s5_finseq_1__e46_19__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) & v1_prob_2(C) & m2_finseq_1(C,k1_random_1(A)) & m2_finseq_1(D,k1_numbers) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & ! [F] : ( m1_subset_1(F,k6_numbers) => F != k1_extreal1(k12_supinf_2(D,E),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,C,B),E)) ) ) ) => ? [E] : ( m2_finseq_1(E,k6_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => k1_funct_1(E,F) = k1_extreal1(k12_supinf_2(D,F),k12_supinf_2(k1_partfun1(k4_ordinal1,k1_random_1(A),k1_random_1(A),k6_numbers,C,B),F)) ) ) ) ) ) )).
fof(s5_finseq_1__e4_132__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ~ ! [H] : ( v7_ordinal1(H) => ~ ( F = H & ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ~ ( I = G & k7_matrix_0(u1_struct_0(C),E,H) = k10_fvsum_1(k1_matrix_0(D),C,k7_matrix_0(u1_struct_0(C),D,H),I) ) ) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,u1_struct_0(C)) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(D)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(D))) => ! [J] : ( v7_ordinal1(J) => ~ ( G = J & ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => ~ ( K = k1_funct_1(F,G) & k7_matrix_0(u1_struct_0(C),E,J) = k10_fvsum_1(k1_matrix_0(D),C,k7_matrix_0(u1_struct_0(C),D,J),K) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e4_18__random_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_finseq_1(B,A) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(B))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => D != k1_tarski(k1_funct_1(B,C)) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_zfmisc_1(A)) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(B))) => k1_funct_1(C,D) = k1_tarski(k1_funct_1(B,D)) ) ) ) ) ) )).
fof(s5_finseq_1__e4_19__integr19,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m2_finseq_1(B,k1_euclid(A)) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(B))) & ! [D] : ( m1_subset_1(D,k1_numbers) => ~ ? [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) & E = k1_funct_1(B,C) & D = k12_euclid(E) ) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(B))) => ? [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) & F = k1_funct_1(B,D) & k1_funct_1(C,D) = k12_euclid(F) ) ) ) ) ) ) )).
fof(s5_finseq_1__e4_3__integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) & v1_xreal_0(D) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & ! [F] : ( m1_subset_1(F,k1_numbers) => ~ ? [G] : ( m1_subset_1(G,k1_numbers) & r2_tarski(G,k1_rvsum_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,C,E)))) & F = k3_xcmplx_0(G,k3_integra1(k2_integra1(A,C,E))) & r1_xxreal_0(k1_funct_1(k5_integra1(A,B,C),E),F) & ~ r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k5_integra1(A,B,C),E),D),F) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => ? [H] : ( m1_subset_1(H,k1_numbers) & r2_tarski(H,k1_rvsum_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,C,F)))) & k1_funct_1(E,F) = k3_xcmplx_0(H,k3_integra1(k2_integra1(A,C,F))) & r1_xxreal_0(k1_funct_1(k5_integra1(A,B,C),F),k1_funct_1(E,F)) & ~ r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k5_integra1(A,B,C),F),D),k1_funct_1(E,F)) ) ) ) ) ) ) )).
fof(s5_finseq_1__e4_41__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v7_ordinal1(C) & m2_finseq_2(D,k4_ordinal1,k4_finseq_2(C,k4_ordinal1)) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(C)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ! [G] : ( v7_ordinal1(G) => ( G = E => ( ( k1_funct_1(D,G) = A => F = B ) & ( k1_funct_1(D,G) != A => F = k1_funct_1(D,G) ) ) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k4_ordinal1) & k4_finseq_1(E) = k2_finseq_1(C) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(C)) => ! [H] : ( v7_ordinal1(H) => ( H = F => ( ( k1_funct_1(D,H) = A => k1_funct_1(E,F) = B ) & ( k1_funct_1(D,H) != A => k1_funct_1(E,F) = k1_funct_1(D,H) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e4_4__integr15,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_integra1(C,A) & v1_xreal_0(D) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & ! [F] : ( m1_subset_1(F,k1_numbers) => ~ ? [G] : ( m1_subset_1(G,k1_numbers) & r2_tarski(G,k1_rvsum_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,C,E)))) & F = k3_xcmplx_0(G,k3_integra1(k2_integra1(A,C,E))) & r1_xxreal_0(F,k1_funct_1(k4_integra1(A,B,C),E)) & ~ r1_xxreal_0(F,k6_xcmplx_0(k1_funct_1(k4_integra1(A,B,C),E),D)) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) => ? [H] : ( m1_subset_1(H,k1_numbers) & r2_tarski(H,k1_rvsum_1(k2_partfun1(A,k1_numbers,B,k2_integra1(A,C,F)))) & k1_funct_1(E,F) = k3_xcmplx_0(H,k3_integra1(k2_integra1(A,C,F))) & r1_xxreal_0(k1_funct_1(E,F),k1_funct_1(k4_integra1(A,B,C),F)) & ~ r1_xxreal_0(k1_funct_1(E,F),k6_xcmplx_0(k1_funct_1(k4_integra1(A,B,C),F),D)) ) ) ) ) ) ) )).
fof(s5_finseq_1__e4_59__uniroots,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k13_polynom3(k1_complfld))) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(k1_complfld))) => ~ ! [D] : ( m2_finseq_1(D,u1_struct_0(k13_polynom3(k1_complfld))) => ( D = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(B)) => C = k3_group_4(k13_polynom3(k1_complfld),D) ) ) ) ) ) => ? [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(k1_complfld))) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(k1_complfld))) => ( E = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(C)) => k1_funct_1(B,C) = k3_group_4(k13_polynom3(k1_complfld),E) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e4_65_2_2__uniroots,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k13_polynom3(k1_complfld))) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(k1_complfld))) => ~ ! [D] : ( m2_finseq_1(D,u1_struct_0(k13_polynom3(k1_complfld))) => ( D = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(B)) => C = k3_group_4(k13_polynom3(k1_complfld),D) ) ) ) ) ) => ? [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(k1_complfld))) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(k1_complfld))) => ( E = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(C)) => k1_funct_1(B,C) = k3_group_4(k13_polynom3(k1_complfld),E) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e51_17__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m2_subset_1(D,k1_zfmisc_1(A),B) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(F)) & ! [H] : ( m1_subset_1(H,B) => ~ ( ( G = 1 => H = D ) & ~ ( r1_xxreal_0(2,G) & ! [I] : ( v7_ordinal1(I) => ~ ( I = k6_xcmplx_0(G,1) & H = k1_funct_1(C,k1_funct_1(E,I)) ) ) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,B) & k4_finseq_1(G) = k2_finseq_1(F) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(F)) => ( ( H = 1 => k1_funct_1(G,H) = D ) & ~ ( r1_xxreal_0(2,H) & ! [J] : ( v7_ordinal1(J) => ~ ( J = k6_xcmplx_0(H,1) & k1_funct_1(G,H) = k1_funct_1(C,k1_funct_1(E,J)) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e54_17__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_finseq_1(D,B) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k6_numbers) => ~ ! [G] : ( m1_subset_1(G,A) => ( ( r2_tarski(G,k1_funct_1(D,E)) => F = k12_supinf_2(C,G) ) & ( k1_funct_1(D,E) = k1_xboole_0 => F = k18_supinf_2 ) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k6_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ! [H] : ( m1_subset_1(H,A) => ( ( r2_tarski(H,k1_funct_1(D,F)) => k1_funct_1(E,F) = k12_supinf_2(C,H) ) & ( k1_funct_1(D,F) = k1_xboole_0 => k1_funct_1(E,F) = k18_supinf_2 ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e55_44_1__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m2_finseq_1(D,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)))) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B)))) & ! [G] : ( m1_subset_1(G,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)))) => G != k3_tarski(a_5_4_simplex2(A,C,D,E,F)) ) ) ) => ? [F] : ( m2_finseq_1(F,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)))) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B)))) => k1_funct_1(F,G) = k3_tarski(a_5_4_simplex2(A,C,D,E,G)) ) ) ) ) ) )).
fof(s5_finseq_1__e5_12_1__alg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & m2_finseq_1(D,u1_struct_0(B)) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k1_funct_1(C,F) != k1_funct_1(D,E) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => k1_funct_1(C,k1_funct_1(E,F)) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(s5_finseq_1__e5_22_1__aescip_1,axiom,( ! [A] : ( m2_finseq_2(A,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k3_finseq_2(k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(128)) & ! [C] : ( m1_subset_1(C,k5_margrel1) => ~ ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & ? [G] : ( m2_finseq_2(G,k5_margrel1,k4_finseq_2(8,k5_margrel1)) & r2_tarski(D,k2_finseq_1(4)) & r2_tarski(E,k2_finseq_1(4)) & r2_tarski(F,k2_finseq_1(8)) & r1_xxreal_0(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(D,1),8)),k2_nat_1(k7_nat_d(E,1),32)),B) & r1_xxreal_0(B,k1_nat_1(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(D,1),8)),k2_nat_1(k7_nat_d(E,1),32)),7)) & F = k6_xcmplx_0(B,k1_nat_1(k2_nat_1(k7_nat_d(D,1),8),k2_nat_1(k7_nat_d(E,1),32))) & G = k1_funct_1(k1_funct_1(A,D),E) & C = k10_descip_1(8,G,F) ) ) ) ) ) ) ) => ? [B] : ( m2_finseq_1(B,k5_margrel1) & k4_finseq_1(B) = k2_finseq_1(128) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(128)) => ? [H] : ( v7_ordinal1(H) & ? [I] : ( v7_ordinal1(I) & ? [J] : ( v7_ordinal1(J) & ? [K] : ( m2_finseq_2(K,k5_margrel1,k4_finseq_2(8,k5_margrel1)) & r2_tarski(H,k2_finseq_1(4)) & r2_tarski(I,k2_finseq_1(4)) & r2_tarski(J,k2_finseq_1(8)) & r1_xxreal_0(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(H,1),8)),k2_nat_1(k7_nat_d(I,1),32)),C) & r1_xxreal_0(C,k1_nat_1(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(H,1),8)),k2_nat_1(k7_nat_d(I,1),32)),7)) & J = k6_xcmplx_0(C,k1_nat_1(k2_nat_1(k7_nat_d(H,1),8),k2_nat_1(k7_nat_d(I,1),32))) & K = k1_funct_1(k1_funct_1(A,H),I) & k1_funct_1(B,C) = k10_descip_1(8,K,J) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e5_46_1_2__hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k13_polynom3(A))) => ~ ( ( E = 1 & F = k4_polynom5(A,k10_polynom3(A),k8_nat_1(u1_struct_0(A),B,1)) ) | ( E != 1 & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & G = k1_funct_1(B,E) & H = E & F = k4_polynom5(A,k4_hurwitz(A,C,H),G) ) ) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) & k4_finseq_1(E) = k2_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => ( ( F = 1 & k1_funct_1(E,F) = k4_polynom5(A,k10_polynom3(A),k8_nat_1(u1_struct_0(A),B,1)) ) | ( F != 1 & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,k4_ordinal1) & I = k1_funct_1(B,F) & J = F & k1_funct_1(E,F) = k4_polynom5(A,k4_hurwitz(A,C,J),I) ) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e5_58__nat_5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(A)) & ! [C] : ( m1_subset_1(C,k9_setfam_1(k2_finseq_1(A))) => C != a_2_2_nat_5(A,B) ) ) ) => ? [B] : ( m2_finseq_1(B,k9_setfam_1(k2_finseq_1(A))) & k4_finseq_1(B) = k2_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(A)) => k1_funct_1(B,C) = a_2_2_nat_5(A,C) ) ) ) ) ) )).
fof(s5_finseq_1__e5_61_2__nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) & v1_xreal_0(D) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(B)) & ! [F] : ( m1_subset_1(F,k1_numbers) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v1_xreal_0(G) => ~ ( r2_hidden(G,k1_relset_1(k1_numbers,C)) & ~ r1_xxreal_0(F,k9_complex1(k6_xcmplx_0(G,A))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(D,2),B),k9_complex1(k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(E,B)),G),k1_funct_1(k1_partfun1(k1_numbers,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(E,B)),A)))) ) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k4_finseq_1(E) = k2_finseq_1(B) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(B)) => ( ~ r1_xxreal_0(k1_funct_1(E,F),k5_numbers) & ! [H] : ( v1_xreal_0(H) => ~ ( r2_hidden(H,k1_relset_1(k1_numbers,C)) & ~ r1_xxreal_0(k1_funct_1(E,F),k9_complex1(k6_xcmplx_0(H,A))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(D,2),B),k9_complex1(k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(F,B)),H),k1_funct_1(k1_partfun1(k1_numbers,k1_euclid(B),k1_euclid(B),k1_numbers,C,k1_pdiff_1(F,B)),A)))) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e5_64_2__nfcont_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_xreal_0(A) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(B))))) & v1_xreal_0(D) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(B)) & ! [F] : ( m1_subset_1(F,k1_numbers) => ~ ? [G] : ( m1_subset_1(G,k4_ordinal1) & E = G & ~ r1_xxreal_0(F,k5_numbers) & ! [H] : ( v1_xreal_0(H) => ~ ( r2_hidden(H,k1_relset_1(k1_numbers,C)) & ~ r1_xxreal_0(F,k9_complex1(k6_xcmplx_0(H,A))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(D,2),B),k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(G,B)),H),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(G,B)),A)))) ) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k4_finseq_1(E) = k2_finseq_1(B) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(B)) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & F = I & ~ r1_xxreal_0(k1_funct_1(E,F),k5_numbers) & ! [J] : ( v1_xreal_0(J) => ~ ( r2_hidden(J,k1_relset_1(k1_numbers,C)) & ~ r1_xxreal_0(k1_funct_1(E,F),k9_complex1(k6_xcmplx_0(J,A))) & r1_xxreal_0(k7_xcmplx_0(k7_xcmplx_0(D,2),B),k2_normsp_0(k4_real_ns1(1),k5_algstr_0(k4_real_ns1(1),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(I,B)),J),k7_partfun1(u1_struct_0(k4_real_ns1(1)),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(I,B)),A)))) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e5_67_1_2__int_4,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_numbers)) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,B) => ~ r2_tarski(D,k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),k7_nat_d(C,1))) ) ) ) => ? [C] : ( m2_finseq_1(C,B) & k4_finseq_1(C) = k2_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => r2_tarski(k1_funct_1(C,D),k6_eqrel_1(k4_numbers,k4_numbers,k1_int_4(A),k7_nat_d(D,1))) ) ) ) ) ) )).
fof(s5_finseq_1__e5_80__ec_pf_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => D != k1_card_1(k1_funct_1(B,C)) ) ) ) => ? [C] : ( m2_finseq_1(C,k4_ordinal1) & k4_finseq_1(C) = k2_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => k1_funct_1(C,D) = k1_card_1(k1_funct_1(B,D)) ) ) ) ) ) )).
fof(s5_finseq_1__e60_17_1_2__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & m2_finseq_1(E,u1_struct_0(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(E))) & ! [G] : ( m1_subset_1(G,k1_numbers) => G != k3_integra1(k2_integra1(B,k2_integra2(B,C,D),F)) ) ) ) => ? [F] : ( m2_finseq_1(F,k1_numbers) & k4_finseq_1(F) = k2_finseq_1(k3_finseq_1(E)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(E))) => k1_funct_1(F,G) = k3_integra1(k2_integra1(B,k2_integra2(B,C,D),G)) ) ) ) ) ) )).
fof(s5_finseq_1__e66_24__random_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m2_prob_1(B,A,k1_random_1(A)) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & m1_random_1(E,A,k1_random_1(A)) & m2_finseq_1(F,A) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k4_card_1(A))) & ! [H] : ( m1_subset_1(H,k1_numbers) => ~ ( ( r2_tarski(k1_funct_1(F,G),C) => H = k1_extreal1(k12_supinf_2(D,k1_funct_1(F,G)),k12_supinf_2(B,k1_tarski(k1_funct_1(F,G)))) ) & ( ~ r2_tarski(k1_funct_1(F,G),C) => H = k1_extreal1(k12_supinf_2(E,k1_funct_1(F,G)),k12_supinf_2(B,k1_tarski(k1_funct_1(F,G)))) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k1_numbers) & k4_finseq_1(G) = k2_finseq_1(k4_card_1(A)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k4_card_1(A))) => ( ( r2_tarski(k1_funct_1(F,H),C) => k1_funct_1(G,H) = k1_extreal1(k12_supinf_2(D,k1_funct_1(F,H)),k12_supinf_2(B,k1_tarski(k1_funct_1(F,H)))) ) & ( ~ r2_tarski(k1_funct_1(F,H),C) => k1_funct_1(G,H) = k1_extreal1(k12_supinf_2(E,k1_funct_1(F,H)),k12_supinf_2(B,k1_tarski(k1_funct_1(F,H)))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e6_2_1_7_1_1_7_1_1__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_prob_2(C) & m2_finseq_1(C,B) & m1_subset_1(D,k4_ordinal1) & v1_prob_2(E) & m2_finseq_1(E,B) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(2)) & ! [G] : ( m1_subset_1(G,B) => ~ ( ( F = 1 => G = k3_tarski(k10_xtuple_0(E)) ) & ( F = 2 => G = k1_funct_1(C,k1_nat_1(D,1)) ) ) ) ) ) => ? [F] : ( m2_finseq_1(F,B) & k4_finseq_1(F) = k2_finseq_1(2) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(2)) => ( ( G = 1 => k1_funct_1(F,G) = k3_tarski(k10_xtuple_0(E)) ) & ( G = 2 => k1_funct_1(F,G) = k1_funct_1(C,k1_nat_1(D,1)) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e6_2_1_7_1_2_2_1_2__mesfunc4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k6_numbers) & m1_subset_1(B,k4_ordinal1) & m2_finseq_1(C,k6_numbers) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k1_nat_1(k3_finseq_1(C),1))) & ! [E] : ( m1_subset_1(E,k6_numbers) => ~ ( ( r1_xxreal_0(D,k3_finseq_1(C)) => E = k12_supinf_2(C,D) ) & ( D = k1_nat_1(k3_finseq_1(C),1) => E = k12_supinf_2(A,k1_nat_1(B,1)) ) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k6_numbers) & k4_finseq_1(D) = k2_finseq_1(k1_nat_1(k3_finseq_1(C),1)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k1_nat_1(k3_finseq_1(C),1))) => ( ( r1_xxreal_0(E,k3_finseq_1(C)) => k1_funct_1(D,E) = k12_supinf_2(C,E) ) & ( E = k1_nat_1(k3_finseq_1(C),1) => k1_funct_1(D,E) = k12_supinf_2(A,k1_nat_1(B,1)) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e6_3__mesfunc3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k6_numbers) => ~ ! [G] : ( r2_tarski(G,k1_funct_1(D,E)) => F = k12_supinf_2(C,G) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k6_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ! [H] : ( r2_tarski(H,k1_funct_1(D,F)) => k1_funct_1(E,F) = k12_supinf_2(C,H) ) ) ) ) ) ) )).
fof(s5_finseq_1__e6_4__random_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k1_numbers) => ~ ! [G] : ( r2_tarski(G,k1_funct_1(D,E)) => F = k12_supinf_2(C,G) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ! [H] : ( r2_tarski(H,k1_funct_1(D,F)) => k1_funct_1(E,F) = k12_supinf_2(C,H) ) ) ) ) ) ) )).
fof(s5_finseq_1__e6_63__mesfun7c,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & v1_prob_2(D) & m2_finseq_1(D,B) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k2_numbers) => ~ ! [G] : ( r2_tarski(G,k1_funct_1(D,E)) => F = k1_funct_1(C,G) ) ) ) ) => ? [E] : ( m2_finseq_1(E,k2_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => ! [H] : ( r2_tarski(H,k1_funct_1(D,F)) => k1_funct_1(E,F) = k1_funct_1(C,H) ) ) ) ) ) ) )).
fof(s5_finseq_1__e6_81__ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,u1_struct_0(k9_int_3(A))) & m1_subset_1(C,u1_struct_0(k9_int_3(A))) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(A)) & ! [E] : ( m1_subset_1(E,k4_numbers) => ~ ? [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(A))) & F = k6_xcmplx_0(D,1) & E = k2_ec_pf_1(A,k3_rlvect_1(k9_int_3(A),k3_rlvect_1(k9_int_3(A),k2_binom(k9_int_3(A),F,3),k8_group_1(k9_int_3(A),B,F)),C)) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k4_finseq_1(D) = k2_finseq_1(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => ? [G] : ( m1_subset_1(G,u1_struct_0(k9_int_3(A))) & G = k6_xcmplx_0(E,1) & k1_funct_1(D,E) = k2_ec_pf_1(A,k3_rlvect_1(k9_int_3(A),k3_rlvect_1(k9_int_3(A),k2_binom(k9_int_3(A),G,3),k8_group_1(k9_int_3(A),B,G)),C)) ) ) ) ) ) ) )).
fof(s5_finseq_1__e6_84_4__mesfunc5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) & m2_subset_1(D,k1_zfmisc_1(A),B) & v7_ordinal1(E) & m1_subset_1(F,k4_ordinal1) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k1_nat_1(k4_xxreal_3(F,E),1))) & ! [H] : ( m1_subset_1(H,B) => ~ ( ( r1_xxreal_0(G,k4_xxreal_3(F,E)) => H = k9_subset_1(A,k9_subset_1(A,D,k17_mesfunc1(A,C,k2_extreal1(k3_xxreal_3(G,1),k1_newton(2,E)))),k14_mesfunc1(A,C,k2_extreal1(G,k1_newton(2,E)))) ) & ( G = k1_nat_1(k4_xxreal_3(F,E),1) => H = k9_subset_1(A,D,k17_mesfunc1(A,C,E)) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,B) & k4_finseq_1(G) = k2_finseq_1(k1_nat_1(k4_xxreal_3(F,E),1)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k1_nat_1(k4_xxreal_3(F,E),1))) => ( ( r1_xxreal_0(H,k4_xxreal_3(F,E)) => k1_funct_1(G,H) = k9_subset_1(A,k9_subset_1(A,D,k17_mesfunc1(A,C,k2_extreal1(k3_xxreal_3(H,1),k1_newton(2,E)))),k14_mesfunc1(A,C,k2_extreal1(H,k1_newton(2,E)))) ) & ( H = k1_nat_1(k4_xxreal_3(F,E),1) => k1_funct_1(G,H) = k9_subset_1(A,D,k17_mesfunc1(A,C,E)) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e71_44_1__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) & m2_finseq_1(E,k9_setfam_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B)))) & ! [H] : ( m1_subset_1(H,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)))) => ~ ( r2_tarski(H,D) & r2_hidden(F,H) & r2_tarski(H,k1_funct_1(E,G)) & ~ ( G != 1 & r2_tarski(H,k1_funct_1(E,k6_xcmplx_0(G,1))) ) ) ) ) ) => ? [G] : ( m2_finseq_1(G,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)))) & k4_finseq_1(G) = k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B))) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k3_finseq_1(o_2_3_simplex2(A,B)))) => ( r2_tarski(k1_funct_1(G,H),D) & r2_hidden(F,k1_funct_1(G,H)) & r2_tarski(k1_funct_1(G,H),k1_funct_1(E,H)) & ~ ( H != 1 & r2_tarski(k1_funct_1(G,H),k1_funct_1(E,k6_xcmplx_0(H,1))) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e7_2_1_7_1_1_7_1_2__mesfunc4,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r2_tarski(A,k2_finseq_1(2)) & ! [B] : ( m1_subset_1(B,k6_numbers) => ~ ( ( A = 1 => B = k1_supinf_2 ) & ( A = 2 => B = k18_supinf_2 ) ) ) ) ) => ? [A] : ( m2_finseq_1(A,k6_numbers) & k4_finseq_1(A) = k2_finseq_1(2) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(2)) => ( ( B = 1 => k1_funct_1(A,B) = k1_supinf_2 ) & ( B = 2 => k1_funct_1(A,B) = k18_supinf_2 ) ) ) ) ) )).
fof(s5_finseq_1__e7_35__huffman1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_trees_4(B,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k4_card_1(A))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ? [E] : ( v1_finset_1(E) & k1_funct_1(B,C) = E & D = k4_card_1(E) & D != k5_numbers ) ) ) ) => ? [C] : ( m2_finseq_1(C,k4_ordinal1) & k4_finseq_1(C) = k2_finseq_1(k4_card_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k4_card_1(A))) => ? [F] : ( v1_finset_1(F) & k1_funct_1(B,D) = F & k1_funct_1(C,D) = k4_card_1(F) & k1_funct_1(C,D) != k5_numbers ) ) ) ) ) ) )).
fof(s5_finseq_1__e7_48__int_4,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ r2_tarski(C,a_2_0_int_4(A,B)) ) ) ) => ? [B] : ( m2_finseq_1(B,k4_ordinal1) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => r2_tarski(k1_funct_1(B,C),a_2_0_int_4(A,C)) ) ) ) ) ) )).
fof(s5_finseq_1__e7_64__uniroots,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(k13_polynom3(k1_complfld))) => ~ ? [E] : ( v7_ordinal1(E) & ~ v8_ordinal1(E) & C = E & ( ~ ( r1_nat_d(E,A) & ~ r1_nat_d(E,B) & E != A ) => D = k2_algseq_1(k1_complfld,k1_group_1(k1_complfld)) ) & ( r1_nat_d(E,A) => ( r1_nat_d(E,B) | E = A | D = k5_uniroots(E) ) ) ) ) ) ) => ? [C] : ( m2_finseq_1(C,u1_struct_0(k13_polynom3(k1_complfld))) & k4_finseq_1(C) = k2_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => ? [F] : ( v7_ordinal1(F) & ~ v8_ordinal1(F) & D = F & ( ~ ( r1_nat_d(F,A) & ~ r1_nat_d(F,B) & F != A ) => k1_funct_1(C,D) = k2_algseq_1(k1_complfld,k1_group_1(k1_complfld)) ) & ( r1_nat_d(F,A) => ( r1_nat_d(F,B) | F = A | k1_funct_1(C,D) = k5_uniroots(F) ) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e7_7__grsolv_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_grsolv_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & m2_finseq_1(C,k1_group_3(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(C))) & ! [E] : ( m1_subset_1(E,k1_group_3(B)) => ~ ? [F] : ( v15_algstr_0(F) & m1_group_2(F,A) & F = k1_funct_1(C,D) & E = k10_group_2(A,F,B) ) ) ) ) => ? [D] : ( m2_finseq_1(D,k1_group_3(B)) & k4_finseq_1(D) = k2_finseq_1(k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => ? [G] : ( v15_algstr_0(G) & m1_group_2(G,A) & G = k1_funct_1(C,E) & k1_funct_1(D,E) = k10_group_2(A,G,B) ) ) ) ) ) ) )).
fof(s5_finseq_1__e8_28__rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(C,A,B) & m2_finseq_1(D,u1_struct_0(A)) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(k3_finseq_1(D))) & ! [F] : ( m1_subset_1(F,k4_numbers) => F != k3_funct_2(u1_struct_0(A),k1_numbers,C,k7_partfun1(u1_struct_0(A),D,E)) ) ) ) => ? [E] : ( m2_finseq_1(E,k4_numbers) & k4_finseq_1(E) = k2_finseq_1(k3_finseq_1(D)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(D))) => k1_funct_1(E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,C,k7_partfun1(u1_struct_0(A),D,F)) ) ) ) ) ) )).
fof(s5_finseq_1__e8_39__matrixc1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) & ! [D] : ( m1_subset_1(D,k1_numbers) => D != k9_matrix_5(B,C) ) ) ) => ? [C] : ( m2_finseq_1(C,k1_numbers) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(C,D) = k9_matrix_5(B,D) ) ) ) ) ) )).
fof(s5_finseq_1__e8_63__uniroots,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k13_polynom3(k1_complfld))) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(k1_complfld))) => ~ ! [D] : ( m2_finseq_1(D,u1_struct_0(k13_polynom3(k1_complfld))) => ( D = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(B)) => C = k3_group_4(k13_polynom3(k1_complfld),D) ) ) ) ) ) => ? [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(k1_complfld))) & k4_finseq_1(B) = k2_finseq_1(k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k3_finseq_1(A))) => ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(k1_complfld))) => ( E = k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(k1_complfld)),A,k2_finseq_1(C)) => k1_funct_1(B,C) = k3_group_4(k13_polynom3(k1_complfld),E) ) ) ) ) ) ) ) )).
fof(s5_finseq_1__e9_17_1_2_12__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v7_ordinal1(F) & m2_finseq_1(G,u1_struct_0(A)) ) => ( ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k2_finseq_1(k3_finseq_1(G))) & ! [I] : ( m1_subset_1(I,k1_numbers) => I != k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,C,D),H),k2_integra1(B,k2_integra2(B,C,E),F))) ) ) ) => ? [H] : ( m2_finseq_1(H,k1_numbers) & k4_finseq_1(H) = k2_finseq_1(k3_finseq_1(G)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k2_finseq_1(k3_finseq_1(G))) => k1_funct_1(H,I) = k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,C,D),I),k2_integra1(B,k2_integra2(B,C,E),F))) ) ) ) ) ) )).
fof(s5_finseq_1__e9_17_1_2_5__integr20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) & v7_ordinal1(D) & v7_ordinal1(E) & v7_ordinal1(F) & m2_finseq_1(G,u1_struct_0(A)) ) => ( ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k2_finseq_1(k3_finseq_1(G))) & ! [I] : ( m1_subset_1(I,k1_numbers) => I != k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,C,D),F),k2_integra1(B,k2_integra2(B,C,E),H))) ) ) ) => ? [H] : ( m2_finseq_1(H,k1_numbers) & k4_finseq_1(H) = k2_finseq_1(k3_finseq_1(G)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k2_finseq_1(k3_finseq_1(G))) => k1_funct_1(H,I) = k1_integr20(k9_subset_1(k1_numbers,k2_integra1(B,k2_integra2(B,C,D),F),k2_integra1(B,k2_integra2(B,C,E),I))) ) ) ) ) ) )).
fof(s5_finseq_1__e9_30__matrixc1,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k2_numbers) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k3_finseq_1(k1_complsp2(A)))) & ! [D] : ( m1_subset_1(D,k2_numbers) => D != k9_matrix_5(B,C) ) ) ) => ? [C] : ( m2_finseq_1(C,k2_numbers) & k4_finseq_1(C) = k2_finseq_1(k3_finseq_1(k1_complsp2(A))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(k1_complsp2(A)))) => k1_funct_1(C,D) = k9_matrix_5(B,D) ) ) ) ) ) )).
fof(s5_finseq_1__e9_46_1_2__hurwitz,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) ) => ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k2_finseq_1(D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k13_polynom3(A))) => ~ ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & G = k1_funct_1(B,E) & H = E & F = k4_polynom5(A,k3_hurwitz(A,C,H),G) ) ) ) ) ) => ? [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) & k4_finseq_1(E) = k2_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(D)) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,k4_ordinal1) & I = k1_funct_1(B,F) & J = F & k1_funct_1(E,F) = k4_polynom5(A,k3_hurwitz(A,C,J),I) ) ) ) ) ) ) ) )).
fof(s5_fraenkel__e10_144__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,B,D)),k1_numbers) = k20_seq_4(k17_seq_4(A,B,D)) ) => a_3_12_seq_4(A,B,C) = a_3_13_seq_4(A,B,C) ) ) )).
fof(s5_fraenkel__e2_133_1__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,B,D)),k1_numbers) = k20_seq_4(k17_seq_4(A,B,D)) ) => a_3_12_seq_4(A,B,C) = a_3_13_seq_4(A,B,C) ) ) )).
fof(s5_fraenkel__e2_15_2__waybel32,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v7_waybel_0(B) & v8_waybel_0(B,A) & l1_waybel_0(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_waybel_0(A,B,C) = k2_yellow_0(A,a_3_3_waybel32(A,B,C)) ) => a_2_6_waybel32(A,B) = a_2_5_waybel32(A,B) ) ) )).
fof(s5_fraenkel__e2_20__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,k15_lattice3(A,C)) = k15_lattice3(A,a_3_12_quantal1(A,C,D)) ) => a_3_13_quantal1(A,B,C) = a_3_14_quantal1(A,B,C) ) ) )).
fof(s5_fraenkel__e2_30_2__waybel17,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v7_waybel_0(B) & v8_waybel_0(B,A) & l1_waybel_0(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_waybel_0(A,B,C) = k2_yellow_0(A,a_3_3_waybel17(A,B,C)) ) => a_2_2_waybel17(A,B) = a_2_1_waybel17(A,B) ) ) )).
fof(s5_fraenkel__e2_52_2__waybel11,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v7_waybel_0(B) & v8_waybel_0(B,A) & l1_waybel_0(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_waybel_0(A,B,C) = k2_yellow_0(A,a_3_3_waybel11(A,B,C)) ) => a_2_7_waybel11(A,B) = a_2_6_waybel11(A,B) ) ) )).
fof(s5_fraenkel__e2_54_1_1__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) ) => ( ! [F] : ( m1_subset_1(F,A) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,C,F)),k9_lfuzzy_0(k2_zfmisc_1(A,A),E,k1_domain_1(A,A,F,D))) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,C,F)),k7_lfuzzy_0(k2_zfmisc_1(A,A),k5_lfuzzy_0(k2_zfmisc_1(A,A),E),k1_domain_1(A,A,F,D))) ) => a_5_5_lfuzzy_1(A,B,C,D,E) = a_5_7_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e2_59_1_5_1_1__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) ) => ( ! [F] : ( m1_subset_1(F,A) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k9_lfuzzy_0(k2_zfmisc_1(A,A),E,k1_domain_1(A,A,C,F)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,F,D))) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),k5_lfuzzy_0(k2_zfmisc_1(A,A),E),k1_domain_1(A,A,C,F)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,F,D))) ) => a_5_13_lfuzzy_1(A,B,C,D,E) = a_5_15_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e2_60_2_1_1__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => k3_fuzzy_4(A,A,A,k5_lfuzzy_0(k2_zfmisc_1(A,A),C),k5_lfuzzy_0(k2_zfmisc_1(A,A),D)) = k6_lfuzzy_0(k2_zfmisc_1(A,A),k3_fuzzy_4(A,A,A,k5_lfuzzy_0(k2_zfmisc_1(A,A),C),k5_lfuzzy_0(k2_zfmisc_1(A,A),D))) ) => a_3_3_lfuzzy_1(A,B,C) = a_3_4_lfuzzy_1(A,B,C) ) ) )).
fof(s5_fraenkel__e3_130__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,B,D)),k1_numbers) = k20_seq_4(k17_seq_4(A,B,D)) ) => a_3_12_seq_4(A,B,C) = a_3_13_seq_4(A,B,C) ) ) )).
fof(s5_fraenkel__e3_131__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m2_finseq_2(C,k2_numbers,k12_seq_4(A)) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [E] : ( m1_subset_1(E,k12_seq_4(A)) => k20_seq_4(k17_seq_4(A,k13_seq_4(A,B,C),E)) = k10_subset_1(k20_seq_4(k17_seq_4(A,k13_seq_4(A,B,C),E)),k1_numbers) ) => a_4_3_seq_4(A,B,C,D) = a_4_2_seq_4(A,B,C,D) ) ) )).
fof(s5_fraenkel__e3_132__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,B,D)),k1_numbers) = k20_seq_4(k17_seq_4(A,B,D)) ) => a_3_12_seq_4(A,B,C) = a_3_13_seq_4(A,B,C) ) ) )).
fof(s5_fraenkel__e3_22__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k3_waybel17(A,B,C))) => k2_yellow_0(A,a_4_7_waybel17(A,B,C,D)) = k12_lattice3(A,B,C) ) => a_3_1_waybel17(A,B,C) = a_3_2_waybel17(A,B,C) ) ) )).
fof(s5_fraenkel__e3_48__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(A,A,B,D,F),k8_lfuzzy_0(A,A,k5_lfuzzy_0(k2_zfmisc_1(A,A),k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),C)),F,E)) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,D,F)),k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k5_card_3(k1_domain_1(A,A,F,E),C))) ) => a_5_0_lfuzzy_1(A,B,C,D,E) = a_5_1_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e3_50__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,D,F)),k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k5_card_3(k1_domain_1(A,A,F,E),C))) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_0_lfuzzy_1(A,B,C,D,E,F)) ) => a_5_1_lfuzzy_1(A,B,C,D,E) = a_5_2_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e3_51__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_0_lfuzzy_1(A,B,C,D,E,F)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_1_lfuzzy_1(A,B,C,D,E,F)) ) => a_5_2_lfuzzy_1(A,B,C,D,E) = a_5_3_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e3_59_1_2__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k5_card_3(k1_domain_1(A,A,D,F),C)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,F,E))) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_2_lfuzzy_1(A,B,C,D,E,F)) ) => a_5_9_lfuzzy_1(A,B,C,D,E) = a_5_10_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e3_59_1_3__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_2_lfuzzy_1(A,B,C,D,E,F)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_6_3_lfuzzy_1(A,B,C,D,E,F)) ) => a_5_10_lfuzzy_1(A,B,C,D,E) = a_5_11_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e3_59_1_7__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),k5_lfuzzy_0(k2_zfmisc_1(A,A),k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),C)),k1_domain_1(A,A,D,F)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,F,E))) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k5_card_3(k1_domain_1(A,A,D,F),C)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,F,E))) ) => a_5_17_lfuzzy_1(A,B,C,D,E) = a_5_9_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e3_60_2__lfuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),a_3_3_lfuzzy_1(A,B,C)) = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),a_3_4_lfuzzy_1(A,B,C)) ) => a_2_7_lfuzzy_1(A,B) = a_2_8_lfuzzy_1(A,B) ) ) )).
fof(s5_fraenkel__e4_24__waybel17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(A,B,E,k3_waybel17(A,C,D)))) => k2_yellow_0(B,a_6_0_waybel17(A,B,C,D,E,F)) = k12_lattice3(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) ) => a_5_1_waybel17(A,B,C,D,E) = a_5_2_waybel17(A,B,C,D,E) ) ) )).
fof(s5_fraenkel__e5_131__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,B,D)),k1_numbers) = k20_seq_4(k17_seq_4(A,B,D)) ) => a_3_12_seq_4(A,B,C) = a_3_13_seq_4(A,B,C) ) ) )).
fof(s5_fraenkel__e5_64__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_quantal1(A,k6_algstr_0(A,k5_quantal1(A,B),k5_quantal1(A,D))) = k9_quantal1(A,B,D) ) => a_3_31_quantal1(A,B,C) = a_3_9_quantal1(A,B,C) ) ) )).
fof(s5_fraenkel__e5_65__quantal1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_quantal1(A,k6_algstr_0(A,k5_quantal1(A,D),k5_quantal1(A,B))) = k9_quantal1(A,D,B) ) => a_3_35_quantal1(A,B,C) = a_3_11_quantal1(A,B,C) ) ) )).
fof(s5_fraenkel__e5_87__lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v5_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k4_lattices(B,C,D) = k4_lattices(B,D,C) ) => a_3_7_lattice3(A,B,C) = a_3_8_lattice3(A,B,C) ) ) )).
fof(s5_fraenkel__e5_88__lattice3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v6_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_lattices(B,C,D) = k3_lattices(B,D,C) ) => a_3_9_lattice3(A,B,C) = a_3_10_lattice3(A,B,C) ) ) )).
fof(s5_fraenkel__e9_144__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,B,D)),k1_numbers) = k20_seq_4(k17_seq_4(A,B,D)) ) => a_3_12_seq_4(A,B,C) = a_3_13_seq_4(A,B,C) ) ) )).
fof(s5_funct_1__e11_45_2__waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) & m1_subset_1(D,k1_zfmisc_1(B)) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & ! [G] : ( r2_tarski(G,E) => k1_funct_1(F,G) = k6_subset_1(C,G) ) ) ) )).
fof(s5_funct_1__e13_45__card_5,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v1_finset_1(B) & v1_card_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_xtuple_0(k2_card_5(A,B)) & ! [D] : ( r2_tarski(D,k9_xtuple_0(k2_card_5(A,B))) => k1_funct_1(C,D) = k1_funct_2(B,D) ) ) ) )).
fof(s5_funct_1__e15_37__goedelcp,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k3_cqc_lang(A),k1_zfmisc_1(k3_qc_lang1(A)))))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & ! [E] : ( r2_tarski(E,k4_ordinal1) => k1_funct_1(D,E) = k2_xboole_0(B,a_3_4_goedelcp(A,C,E)) ) ) ) )).
fof(s5_funct_1__e1_12__waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = u1_pre_topc(A) & ! [C] : ( r2_tarski(C,u1_pre_topc(A)) => k1_funct_1(B,C) = k5_funct_3(C,u1_struct_0(A)) ) ) ) )).
fof(s5_funct_1__e1_3__yellow_8,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_tarski(D,B) => k1_funct_1(C,D) = k6_subset_1(A,D) ) ) ) )).
fof(s5_funct_1__e1_43__waybel18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k9_setfam_1(A) & ! [C] : ( r2_tarski(C,k9_setfam_1(A)) => k1_funct_1(B,C) = k5_funct_3(C,A) ) ) ) )).
fof(s5_funct_1__e1_47__topgen_2,axiom,( ! [A] : ( ~ v1_finset_1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k13_finseq_1(A) & ! [C] : ( r2_tarski(C,k13_finseq_1(A)) => k1_funct_1(B,C) = k10_xtuple_0(C) ) ) ) )).
fof(s5_funct_1__e1_48__topgen_2,axiom,( ! [A] : ( ~ v1_finset_1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k13_finseq_1(A) & ! [C] : ( r2_tarski(C,k13_finseq_1(A)) => k1_funct_1(B,C) = k6_subset_1(A,k10_xtuple_0(C)) ) ) ) )).
fof(s5_funct_1__e21_144_1_2__scmyciel,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_tarski(D,B) => k1_funct_1(C,D) = k2_xboole_0(D,k8_relat_1(A,k1_tarski(D))) ) ) ) )).
fof(s5_funct_1__e21_55_1_2__mycielsk,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & ! [D] : ( r2_tarski(D,B) => k1_funct_1(C,D) = k2_xboole_0(D,k8_relat_1(A,k1_tarski(D))) ) ) ) )).
fof(s5_funct_1__e2_157__funct_1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_tarski(C,A) => k1_funct_1(B,C) = o_1_2_funct_1(C) ) ) )).
fof(s5_funct_1__e2_9__matrix13,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v7_ordinal1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = a_2_0_matrix13(A,B) & ! [D] : ( r2_tarski(D,a_2_0_matrix13(A,B)) => k1_funct_1(C,D) = k1_funct_4(k8_funcop_1(k4_ordinal1,A,k5_numbers),k8_funcop_1(k4_ordinal1,D,1)) ) ) ) )).
fof(s5_funct_1__e3_109__cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(B)))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = A & ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k7_relat_1(C,E) ) ) ) )).
fof(s5_funct_1__e4_71__cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_tarski(B)))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = A & ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k7_relat_1(C,k5_finsub_1(E)) ) ) ) )).
fof(s5_funct_1__e4_84__cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) & ~ v1_xboole_0(B) & v1_classes1(B) & v1_coh_sp(B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_tarski(B)))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = A & ! [E] : ( r2_tarski(E,A) => k1_funct_1(D,E) = k7_relat_1(C,k5_finsub_1(E)) ) ) ) )).
fof(s5_funct_1__e5_2__card_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k1_zfmisc_1(A) & ! [D] : ( r2_tarski(D,k1_zfmisc_1(A)) => k1_funct_1(C,D) = k7_relat_1(B,D) ) ) ) )).
fof(s5_funct_1__e6_48__topgen_2,axiom,( ! [A] : ( ~ v1_finset_1(A) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & ! [C] : ( r2_tarski(C,A) => k1_funct_1(B,C) = k6_subset_1(A,k1_tarski(C)) ) ) ) )).
fof(s5_funct_2__e11_7__petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_zfmisc_1(A) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( ! [F] : ( r2_hidden(F,B) => ( ( r2_hidden(F,C) => r2_hidden(k1_funct_1(D,F),A) ) & ( ~ r2_hidden(F,C) => r2_hidden(E,A) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) & ! [G] : ( r2_hidden(G,B) => ( ( r2_hidden(G,C) => k1_funct_1(F,G) = k1_funct_1(D,G) ) & ( ~ r2_hidden(G,C) => k1_funct_1(F,G) = E ) ) ) ) ) ) )).
fof(s5_funct_2__e13_8__petri_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_zfmisc_1(A) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_funct_1(D) & v1_funct_2(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( ! [F] : ( r2_hidden(F,B) => ( ( r2_hidden(F,C) => r2_hidden(k1_funct_1(D,F),A) ) & ( ~ r2_hidden(F,C) => r2_hidden(E,A) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) & ! [G] : ( r2_hidden(G,B) => ( ( r2_hidden(G,C) => k1_funct_1(F,G) = k1_funct_1(D,G) ) & ( ~ r2_hidden(G,C) => k1_funct_1(F,G) = E ) ) ) ) ) ) )).
fof(s5_funct_2__e14_5__topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k1_compts_1(k2_tarski(k5_numbers,1)))) & m1_subset_1(C,u1_struct_0(k1_compts_1(k2_tarski(k5_numbers,1)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,D) => r2_hidden(B,u1_struct_0(k1_compts_1(k2_tarski(k5_numbers,1)))) ) & ( ~ r2_hidden(E,D) => r2_hidden(C,u1_struct_0(k1_compts_1(k2_tarski(k5_numbers,1)))) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k1_compts_1(k2_tarski(k5_numbers,1)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_compts_1(k2_tarski(k5_numbers,1)))))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,D) => k1_funct_1(E,F) = B ) & ( ~ r2_hidden(F,D) => k1_funct_1(E,F) = C ) ) ) ) ) ) )).
fof(s5_funct_2__e15_2_1__matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & v1_vectsp_7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_vectsp_5(A,B,C,D)))) & m2_vectsp_6(G,A,k1_vectsp_5(A,B,C,D),F) ) => ( ! [H] : ( r2_hidden(H,u1_struct_0(k1_vectsp_5(A,B,C,D))) => ( ( r2_hidden(H,k9_subset_1(u1_struct_0(C),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => r2_hidden(k1_funct_1(G,H),u1_struct_0(A)) ) & ( ~ r2_hidden(H,k9_subset_1(u1_struct_0(C),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => r2_hidden(k4_struct_0(A),u1_struct_0(A)) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k1_vectsp_5(A,B,C,D)),u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_vectsp_5(A,B,C,D)),u1_struct_0(A)))) & ! [I] : ( r2_hidden(I,u1_struct_0(k1_vectsp_5(A,B,C,D))) => ( ( r2_hidden(I,k9_subset_1(u1_struct_0(C),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => k1_funct_1(H,I) = k1_funct_1(G,I) ) & ( ~ r2_hidden(I,k9_subset_1(u1_struct_0(C),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => k1_funct_1(H,I) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s5_funct_2__e16_113_1__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k7_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => r2_hidden(k1_funct_1(D,E),k4_numbers) ) & ( ~ r2_hidden(E,k7_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => r2_hidden(k5_numbers,k4_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k7_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k7_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s5_funct_2__e17_16_1__rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k1_funct_1(D,E),k1_numbers) ) & ( ~ r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k10_subset_1(k5_numbers,k1_numbers),k1_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) ) )).
fof(s5_funct_2__e18_15_1__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k1_funct_1(D,E),k1_numbers) ) & ( ~ r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k5_numbers,k1_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s5_funct_2__e18_22_1__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,D)) ) => ( ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ( ( r2_hidden(F,k7_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => r2_hidden(k1_funct_1(E,F),u1_struct_0(A)) ) & ( ~ r2_hidden(F,k7_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => r2_hidden(k4_struct_0(A),u1_struct_0(A)) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [G] : ( r2_hidden(G,u1_struct_0(B)) => ( ( r2_hidden(G,k7_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => k1_funct_1(F,G) = k1_funct_1(E,G) ) & ( ~ r2_hidden(G,k7_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => k1_funct_1(F,G) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s5_funct_2__e18_2_1__matrlin2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & v1_vectsp_7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_vectsp_5(A,B,C,D)))) & m2_vectsp_6(G,A,k1_vectsp_5(A,B,C,D),F) ) => ( ! [H] : ( r2_hidden(H,u1_struct_0(k1_vectsp_5(A,B,C,D))) => ( ( r2_hidden(H,k7_subset_1(u1_struct_0(k1_vectsp_5(A,B,C,D)),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => r2_hidden(k1_funct_1(G,H),u1_struct_0(A)) ) & ( ~ r2_hidden(H,k7_subset_1(u1_struct_0(k1_vectsp_5(A,B,C,D)),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => r2_hidden(k4_struct_0(A),u1_struct_0(A)) ) ) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k1_vectsp_5(A,B,C,D)),u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_vectsp_5(A,B,C,D)),u1_struct_0(A)))) & ! [I] : ( r2_hidden(I,u1_struct_0(k1_vectsp_5(A,B,C,D))) => ( ( r2_hidden(I,k7_subset_1(u1_struct_0(k1_vectsp_5(A,B,C,D)),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => k1_funct_1(H,I) = k1_funct_1(G,I) ) & ( ~ r2_hidden(I,k7_subset_1(u1_struct_0(k1_vectsp_5(A,B,C,D)),k1_vectsp_6(A,k1_vectsp_5(A,B,C,D),G),E)) => k1_funct_1(H,I) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s5_funct_2__e18_30_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k1_funct_1(D,E),k1_numbers) ) & ( ~ r2_hidden(E,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k5_numbers,k1_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k7_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s5_funct_2__e18_87_1__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_rmod_4(E,A,B,k4_subset_1(u1_struct_0(B),C,D)) ) => ( ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ( ( r2_hidden(F,k7_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => r2_hidden(k1_funct_1(E,F),u1_struct_0(A)) ) & ( ~ r2_hidden(F,k7_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => r2_hidden(k4_struct_0(A),u1_struct_0(A)) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [G] : ( r2_hidden(G,u1_struct_0(B)) => ( ( r2_hidden(G,k7_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => k1_funct_1(F,G) = k1_funct_1(E,G) ) & ( ~ r2_hidden(G,k7_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => k1_funct_1(F,G) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s5_funct_2__e2_27__cfuncdom,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( ! [C] : ( r2_hidden(C,B) => ( ( C = A => r2_hidden(k6_complex1,k2_numbers) ) & ( C != A => r2_hidden(k5_complex1,k2_numbers) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) & ! [D] : ( r2_hidden(D,B) => ( ( D = A => k1_funct_1(C,D) = k6_complex1 ) & ( D != A => k1_funct_1(C,D) = k5_complex1 ) ) ) ) ) ) )).
fof(s5_funct_2__e2_31__funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_numbers) & ~ v1_xboole_0(C) ) => ( ! [D] : ( r2_hidden(D,C) => ( ( D = B => r2_hidden(A,k1_numbers) ) & ( D != B => r2_hidden(k10_subset_1(k5_numbers,k1_numbers),k1_numbers) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) & ! [E] : ( r2_hidden(E,C) => ( ( E = B => k1_funct_1(D,E) = A ) & ( E != B => k1_funct_1(D,E) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) ) )).
fof(s5_funct_2__e2_34_1__valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) & m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) & m2_funct_2(E,k3_qc_lang1(A),B,k2_valuat_1(A,B)) & m2_funct_2(F,k3_qc_lang1(A),B,k2_valuat_1(A,B)) ) => ( ! [G] : ( r2_hidden(G,k3_qc_lang1(A)) => ( ( ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( H = G & H = C ) ) => r2_hidden(k1_funct_1(E,G),B) ) & ( ~ ! [I] : ( m2_subset_1(I,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( I = G & I = C ) ) => r2_hidden(k3_funct_2(k3_qc_lang1(A),B,F,D),B) ) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k3_qc_lang1(A),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) & ! [J] : ( r2_hidden(J,k3_qc_lang1(A)) => ( ( ! [K] : ( m2_subset_1(K,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( K = J & K = C ) ) => k1_funct_1(G,J) = k1_funct_1(E,J) ) & ( ~ ! [L] : ( m2_subset_1(L,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ ( L = J & L = C ) ) => k1_funct_1(G,J) = k3_funct_2(k3_qc_lang1(A),B,F,D) ) ) ) ) ) ) )).
fof(s5_funct_2__e2_42__anproj_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) ) => ( ! [C] : ( r2_hidden(C,A) => ( ( C = B => r2_hidden(1,k1_numbers) ) & ( C != B => r2_hidden(k10_subset_1(k5_numbers,k1_numbers),k1_numbers) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & ! [D] : ( r2_hidden(D,A) => ( ( D = B => k1_funct_1(C,D) = 1 ) & ( D != B => k1_funct_1(C,D) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) ) )).
fof(s5_funct_2__e3_90_1_2__funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [D] : ( r2_hidden(D,A) => ( ( r2_hidden(D,k1_relset_1(A,C)) => r2_hidden(k1_funct_1(C,D),B) ) & ( ~ r2_hidden(D,k1_relset_1(A,C)) => r2_hidden(o_1_0_funct_2(B),B) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ! [E] : ( r2_hidden(E,A) => ( ( r2_hidden(E,k1_relset_1(A,C)) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ( ~ r2_hidden(E,k1_relset_1(A,C)) => k1_funct_1(D,E) = o_1_0_funct_2(B) ) ) ) ) ) ) )).
fof(s5_funct_2__e4_6__int_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) & v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ( ! [C] : ( r2_hidden(C,k8_newton) => ( ( r2_hidden(C,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,B),k22_pre_poly(k8_newton,A))) => r2_hidden(k1_funct_1(B,C),k4_ordinal1) ) & ( ~ r2_hidden(C,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,B),k22_pre_poly(k8_newton,A))) => r2_hidden(k5_numbers,k4_ordinal1) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k8_newton,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_newton,k4_ordinal1))) & ! [D] : ( r2_hidden(D,k8_newton) => ( ( r2_hidden(D,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,B),k22_pre_poly(k8_newton,A))) => k1_funct_1(C,D) = k1_funct_1(B,D) ) & ( ~ r2_hidden(D,k7_subset_1(k8_newton,k22_pre_poly(k8_newton,B),k22_pre_poly(k8_newton,A))) => k1_funct_1(C,D) = k5_numbers ) ) ) ) ) ) )).
fof(s5_funct_2__e5_113_1__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k9_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => r2_hidden(k1_funct_1(D,E),k4_numbers) ) & ( ~ r2_hidden(E,k9_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => r2_hidden(k5_numbers,k4_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k9_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k9_subset_1(u1_struct_0(A),k18_zmodul02(A,D),B)) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s5_funct_2__e5_16_1__rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k1_funct_1(D,E),k1_numbers) ) & ( ~ r2_hidden(E,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k10_subset_1(k5_numbers,k1_numbers),k1_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) ) )).
fof(s5_funct_2__e5_19__zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [D] : ( r2_hidden(D,k4_ordinal1) => ( ( r2_hidden(D,k1_relset_1(A,C)) => r2_hidden(k1_funct_1(C,D),B) ) & ( ~ r2_hidden(D,k1_relset_1(A,C)) => r2_hidden(o_1_1_zf_fund1(B),B) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ( ( r2_hidden(E,k1_relset_1(A,C)) => k1_funct_1(D,E) = k1_funct_1(C,E) ) & ( ~ r2_hidden(E,k1_relset_1(A,C)) => k1_funct_1(D,E) = o_1_1_zf_fund1(B) ) ) ) ) ) ) )).
fof(s5_funct_2__e5_27__cfuncdom,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( ! [C] : ( r2_hidden(C,B) => ( ( C = A => r2_hidden(k5_complex1,k2_numbers) ) & ( C != A => r2_hidden(k6_complex1,k2_numbers) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,B,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) & ! [D] : ( r2_hidden(D,B) => ( ( D = A => k1_funct_1(C,D) = k5_complex1 ) & ( D != A => k1_funct_1(C,D) = k6_complex1 ) ) ) ) ) ) )).
fof(s5_funct_2__e5_31__funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_numbers) & ~ v1_xboole_0(C) ) => ( ! [D] : ( r2_hidden(D,C) => ( ( D = B => r2_hidden(k10_subset_1(k5_numbers,k1_numbers),k1_numbers) ) & ( D != B => r2_hidden(A,k1_numbers) ) ) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) & ! [E] : ( r2_hidden(E,C) => ( ( E = B => k1_funct_1(D,E) = k10_subset_1(k5_numbers,k1_numbers) ) & ( E != B => k1_funct_1(D,E) = A ) ) ) ) ) ) )).
fof(s5_funct_2__e6_15_1__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k1_funct_1(D,E),k1_numbers) ) & ( ~ r2_hidden(E,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k5_numbers,k1_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s5_funct_2__e6_30_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,C)) ) => ( ! [E] : ( r2_hidden(E,u1_struct_0(A)) => ( ( r2_hidden(E,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k1_funct_1(D,E),k1_numbers) ) & ( ~ r2_hidden(E,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => r2_hidden(k5_numbers,k1_numbers) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [F] : ( r2_hidden(F,u1_struct_0(A)) => ( ( r2_hidden(F,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k1_funct_1(D,F) ) & ( ~ r2_hidden(F,k9_subset_1(u1_struct_0(A),k3_rlvect_2(A,D),B)) => k1_funct_1(E,F) = k5_numbers ) ) ) ) ) ) )).
fof(s5_funct_2__e6_63__topgen_5,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_rat_1(B) ) => ( ! [C] : ( r2_hidden(C,u1_struct_0(k2_topgen_3)) => ( ( r2_hidden(C,k3_rcomp_1(A,B)) => r2_hidden(k5_numbers,u1_struct_0(k5_topmetr)) ) & ( ~ r2_hidden(C,k3_rcomp_1(A,B)) => r2_hidden(1,u1_struct_0(k5_topmetr)) ) ) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_topgen_3),u1_struct_0(k5_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topgen_3),u1_struct_0(k5_topmetr)))) & ! [D] : ( r2_hidden(D,u1_struct_0(k2_topgen_3)) => ( ( r2_hidden(D,k3_rcomp_1(A,B)) => k1_funct_1(C,D) = k5_numbers ) & ( ~ r2_hidden(D,k3_rcomp_1(A,B)) => k1_funct_1(C,D) = 1 ) ) ) ) ) ) )).
fof(s5_funct_2__e6_87_1__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_rmod_4(E,A,B,k4_subset_1(u1_struct_0(B),C,D)) ) => ( ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ( ( r2_hidden(F,k9_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => r2_hidden(k1_funct_1(E,F),u1_struct_0(A)) ) & ( ~ r2_hidden(F,k9_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => r2_hidden(k4_struct_0(A),u1_struct_0(A)) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [G] : ( r2_hidden(G,u1_struct_0(B)) => ( ( r2_hidden(G,k9_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => k1_funct_1(F,G) = k1_funct_1(E,G) ) & ( ~ r2_hidden(G,k9_subset_1(u1_struct_0(B),k2_rmod_4(A,B,E),C)) => k1_funct_1(F,G) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s5_funct_2__e8_22_1__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,D)) ) => ( ! [F] : ( r2_hidden(F,u1_struct_0(B)) => ( ( r2_hidden(F,k9_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => r2_hidden(k1_funct_1(E,F),u1_struct_0(A)) ) & ( ~ r2_hidden(F,k9_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => r2_hidden(k4_struct_0(A),u1_struct_0(A)) ) ) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ! [G] : ( r2_hidden(G,u1_struct_0(B)) => ( ( r2_hidden(G,k9_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => k1_funct_1(F,G) = k1_funct_1(E,G) ) & ( ~ r2_hidden(G,k9_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,E),C)) => k1_funct_1(F,G) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(s5_funct_2__e9_102_1_1_2_1__funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [E] : ( r2_hidden(E,A) => ( ( r2_hidden(E,k1_relset_1(A,C)) => r2_hidden(k1_funct_1(C,E),B) ) & ( ~ r2_hidden(E,k1_relset_1(A,C)) => r2_hidden(D,B) ) ) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & ! [F] : ( r2_hidden(F,A) => ( ( r2_hidden(F,k1_relset_1(A,C)) => k1_funct_1(E,F) = k1_funct_1(C,F) ) & ( ~ r2_hidden(F,k1_relset_1(A,C)) => k1_funct_1(E,F) = D ) ) ) ) ) ) )).
fof(s5_funct_7__e10_66__funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( ( k4_funct_7(k7_finseq_1(B,k1_xboole_0),A) = k1_rewrite1(k4_funct_7(B,A),k4_funct_7(k1_xboole_0,k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1)))) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => ( k4_funct_7(k7_finseq_1(B,C),A) = k1_rewrite1(k4_funct_7(B,A),k4_funct_7(C,k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1)))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => k4_funct_7(k7_finseq_1(B,k7_finseq_1(C,k9_finseq_1(D))),A) = k1_rewrite1(k4_funct_7(B,A),k4_funct_7(k7_finseq_1(C,k9_finseq_1(D)),k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1)))) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => k4_funct_7(k7_finseq_1(B,C),A) = k1_rewrite1(k4_funct_7(B,A),k4_funct_7(C,k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1)))) ) ) ) )).
fof(s5_funct_7__e3_75__funct_7,axiom,( ! [A] : ( ( ( k1_xboole_0 != k1_xboole_0 => r1_tarski(k10_xtuple_0(k3_funct_7(A,k1_xboole_0)),k6_funct_7(k1_xboole_0)) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( ( B != k1_xboole_0 => r1_tarski(k10_xtuple_0(k3_funct_7(A,B)),k6_funct_7(B)) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k7_finseq_1(B,k9_finseq_1(C)) != k1_xboole_0 => r1_tarski(k10_xtuple_0(k3_funct_7(A,k7_finseq_1(B,k9_finseq_1(C)))),k6_funct_7(k7_finseq_1(B,k9_finseq_1(C)))) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( B != k1_xboole_0 => r1_tarski(k10_xtuple_0(k3_funct_7(A,B)),k6_funct_7(B)) ) ) ) )).
fof(s5_funct_7__e3_83__funct_7,axiom,( ! [A] : ( ( ( ( v1_relat_1(k1_xboole_0) & v1_funct_1(k1_xboole_0) & v1_finseq_1(k1_xboole_0) & v1_funct_7(k1_xboole_0) ) => ( k1_xboole_0 = k1_xboole_0 | k9_xtuple_0(k3_funct_7(A,k1_xboole_0)) = k3_xboole_0(k5_funct_7(k1_xboole_0),A) ) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_funct_7(B) ) => ( B = k1_xboole_0 | k9_xtuple_0(k3_funct_7(A,B)) = k3_xboole_0(k5_funct_7(B),A) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v1_relat_1(k7_finseq_1(B,k9_finseq_1(C))) & v1_funct_1(k7_finseq_1(B,k9_finseq_1(C))) & v1_finseq_1(k7_finseq_1(B,k9_finseq_1(C))) & v1_funct_7(k7_finseq_1(B,k9_finseq_1(C))) ) => ( k7_finseq_1(B,k9_finseq_1(C)) = k1_xboole_0 | k9_xtuple_0(k3_funct_7(A,k7_finseq_1(B,k9_finseq_1(C)))) = k3_xboole_0(k5_funct_7(k7_finseq_1(B,k9_finseq_1(C))),A) ) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_funct_7(B) ) => ( B = k1_xboole_0 | k9_xtuple_0(k3_funct_7(A,B)) = k3_xboole_0(k5_funct_7(B),A) ) ) ) ) )).
fof(s5_funct_7__e3_87__funct_7,axiom,( ! [A] : ! [B] : ( ( ( ( v1_relat_1(k1_xboole_0) & v1_funct_1(k1_xboole_0) & v1_finseq_1(k1_xboole_0) & v1_funct_7(k1_xboole_0) & r2_hidden(B,k5_funct_7(k1_xboole_0)) & r2_hidden(B,A) ) => k1_funct_1(k4_funct_7(k1_xboole_0,B),k1_nat_1(k3_finseq_1(k1_xboole_0),1)) = k1_funct_1(k3_funct_7(A,k1_xboole_0),B) ) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => ( ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) & r2_hidden(B,k5_funct_7(C)) & r2_hidden(B,A) ) => k1_funct_1(k4_funct_7(C,B),k1_nat_1(k3_finseq_1(C),1)) = k1_funct_1(k3_funct_7(A,C),B) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( v1_relat_1(k7_finseq_1(C,k9_finseq_1(D))) & v1_funct_1(k7_finseq_1(C,k9_finseq_1(D))) & v1_finseq_1(k7_finseq_1(C,k9_finseq_1(D))) & v1_funct_7(k7_finseq_1(C,k9_finseq_1(D))) & r2_hidden(B,k5_funct_7(k7_finseq_1(C,k9_finseq_1(D)))) & r2_hidden(B,A) ) => k1_funct_1(k4_funct_7(k7_finseq_1(C,k9_finseq_1(D)),B),k1_nat_1(k3_finseq_1(k7_finseq_1(C,k9_finseq_1(D))),1)) = k1_funct_1(k3_funct_7(A,k7_finseq_1(C,k9_finseq_1(D))),B) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) & r2_hidden(B,k5_funct_7(C)) & r2_hidden(B,A) ) => k1_funct_1(k4_funct_7(C,B),k1_nat_1(k3_finseq_1(C),1)) = k1_funct_1(k3_funct_7(A,C),B) ) ) ) )).
fof(s5_funct_7__e4_65__funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) ) => ( ( k1_funct_1(k4_funct_7(k7_finseq_1(B,k1_xboole_0),A),k1_nat_1(k3_finseq_1(k7_finseq_1(B,k1_xboole_0)),1)) = k1_funct_1(k4_funct_7(k1_xboole_0,k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1))),k1_nat_1(k3_finseq_1(k1_xboole_0),1)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => ( k1_funct_1(k4_funct_7(k7_finseq_1(B,C),A),k1_nat_1(k3_finseq_1(k7_finseq_1(B,C)),1)) = k1_funct_1(k4_funct_7(C,k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1))),k1_nat_1(k3_finseq_1(C),1)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => k1_funct_1(k4_funct_7(k7_finseq_1(B,k7_finseq_1(C,k9_finseq_1(D))),A),k1_nat_1(k3_finseq_1(k7_finseq_1(B,k7_finseq_1(C,k9_finseq_1(D)))),1)) = k1_funct_1(k4_funct_7(k7_finseq_1(C,k9_finseq_1(D)),k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1))),k1_nat_1(k3_finseq_1(k7_finseq_1(C,k9_finseq_1(D))),1)) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => k1_funct_1(k4_funct_7(k7_finseq_1(B,C),A),k1_nat_1(k3_finseq_1(k7_finseq_1(B,C)),1)) = k1_funct_1(k4_funct_7(C,k1_funct_1(k4_funct_7(B,A),k1_nat_1(k3_finseq_1(B),1))),k1_nat_1(k3_finseq_1(C),1)) ) ) ) )).
fof(s5_funct_7__e5_59__funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k3_funct_7(A,k7_finseq_1(k9_finseq_1(B),k1_xboole_0)) = k3_relat_1(k5_relat_1(B,A),k3_funct_7(k7_relat_1(B,A),k1_xboole_0)) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => ( k3_funct_7(A,k7_finseq_1(k9_finseq_1(B),C)) = k3_relat_1(k5_relat_1(B,A),k3_funct_7(k7_relat_1(B,A),C)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => k3_funct_7(A,k7_finseq_1(k9_finseq_1(B),k7_finseq_1(C,k9_finseq_1(D)))) = k3_relat_1(k5_relat_1(B,A),k3_funct_7(k7_relat_1(B,A),k7_finseq_1(C,k9_finseq_1(D)))) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => k3_funct_7(A,k7_finseq_1(k9_finseq_1(B),C)) = k3_relat_1(k5_relat_1(B,A),k3_funct_7(k7_relat_1(B,A),C)) ) ) ) )).
fof(s5_funct_7__e5_64__funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => ( ( k3_funct_7(A,k7_finseq_1(C,k1_xboole_0)) = k3_relat_1(k3_funct_7(A,C),k3_funct_7(B,k1_xboole_0)) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_funcop_1(D) & v1_finseq_1(D) ) => ( k3_funct_7(A,k7_finseq_1(C,D)) = k3_relat_1(k3_funct_7(A,C),k3_funct_7(B,D)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => k3_funct_7(A,k7_finseq_1(C,k7_finseq_1(D,k9_finseq_1(E)))) = k3_relat_1(k3_funct_7(A,C),k3_funct_7(B,k7_finseq_1(D,k9_finseq_1(E)))) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_funcop_1(D) & v1_finseq_1(D) ) => k3_funct_7(A,k7_finseq_1(C,D)) = k3_relat_1(k3_funct_7(A,C),k3_funct_7(B,D)) ) ) ) )).
fof(s5_funct_7__e6_60__funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k4_funct_7(k7_finseq_1(k9_finseq_1(B),k1_xboole_0),A) = k7_finseq_1(k9_finseq_1(A),k4_funct_7(k1_xboole_0,k1_funct_1(B,A))) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => ( k4_funct_7(k7_finseq_1(k9_finseq_1(B),C),A) = k7_finseq_1(k9_finseq_1(A),k4_funct_7(C,k1_funct_1(B,A))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => k4_funct_7(k7_finseq_1(k9_finseq_1(B),k7_finseq_1(C,k9_finseq_1(D))),A) = k7_finseq_1(k9_finseq_1(A),k4_funct_7(k7_finseq_1(C,k9_finseq_1(D)),k1_funct_1(B,A))) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) ) => k4_funct_7(k7_finseq_1(k9_finseq_1(B),C),A) = k7_finseq_1(k9_finseq_1(A),k4_funct_7(C,k1_funct_1(B,A))) ) ) ) )).
fof(s5_lfuzzy_0__e2_57__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => ( r2_tarski(G,C) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,D,F)),k9_lfuzzy_0(k2_zfmisc_1(A,A),G,k1_domain_1(A,A,F,E))) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,D,F)),k9_lfuzzy_0(k2_zfmisc_1(A,A),G,k1_domain_1(A,A,F,E))) ) ) ) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_3_lfuzzy_1(A,B,C,D,E)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_4_lfuzzy_1(A,B,C,D,E)) ) ) )).
fof(s5_lfuzzy_0__e2_59_1_4__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => ( r2_tarski(G,C) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k9_lfuzzy_0(k2_zfmisc_1(A,A),G,k1_domain_1(A,A,D,F)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,F,E))) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k9_lfuzzy_0(k2_zfmisc_1(A,A),G,k1_domain_1(A,A,D,F)),k7_lfuzzy_0(k2_zfmisc_1(A,A),B,k1_domain_1(A,A,F,E))) ) ) ) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_11_lfuzzy_1(A,B,C,D,E)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_12_lfuzzy_1(A,B,C,D,E)) ) ) )).
fof(s5_lfuzzy_0__e7_61_1__lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) & v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) & v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) & m1_subset_1(H,D) & m1_subset_1(I,A) ) => ( ! [J] : ( m1_subset_1(J,B) => ! [K] : ( m1_subset_1(K,C) => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(A,B,E,I,J),k8_lfuzzy_0(B,C,F,J,K)),k8_lfuzzy_0(C,D,G,K,H)) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),k8_lfuzzy_0(A,B,E,I,J),k8_lfuzzy_0(B,C,F,J,K)),k8_lfuzzy_0(C,D,G,K,H)) ) ) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_9_2_lfuzzy_0(A,B,C,D,E,F,G,H,I)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_9_0_lfuzzy_0(A,B,C,D,E,F,G,H,I)) ) ) )).
fof(s5_lmod_7__e10_10_1__topdim_2,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & C = a_2_1_topdim_2(A,B) ) ) )).
fof(s5_lmod_7__e15_14__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_cantor_1(D,C) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & E = a_4_3_metrizts(A,B,C,D) ) ) )).
fof(s5_lmod_7__e3_25_1_2__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) & D = a_3_3_metrizts(A,B,C) ) ) )).
fof(s5_lmod_7__e4_26_1_2__topdim_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v4_card_3(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_pre_topc(C,D))))) & E = a_4_0_topdim_2(A,B,C,D) ) ) )).
fof(s5_lmod_7__e6_14__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) & v1_cantor_1(D,C) & v1_tops_2(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & E = a_4_2_metrizts(A,B,C,D) ) ) )).
fof(s5_lmod_7__e7_6__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v1_cantor_1(C,A) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & E = a_4_0_metrizts(A,B,C,D) ) ) )).
fof(s5_modelc_1__e1_102__modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( ( ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(C,E) = k38_modelc_1(A,B,E) ) & ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(D,E) = k38_modelc_1(A,B,E) ) ) => r2_funct_2(k30_modelc_1(A),k30_modelc_1(A),C,D) ) ) ) ) )).
fof(s5_modelc_1__e1_126__modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B,D) = k30_modelc_2(A,D) ) & ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(C,D) = k30_modelc_2(A,D) ) ) => r2_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(s5_modelc_1__e1_130__modelc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A))))) ) => ( ( ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(B,D) = k33_modelc_2(A,D) ) & ! [D] : ( r2_hidden(D,k30_modelc_1(k25_modelc_2(A))) => k1_funct_1(C,D) = k33_modelc_2(A,D) ) ) => r2_funct_2(k30_modelc_1(k25_modelc_2(A)),k30_modelc_1(k25_modelc_2(A)),B,C) ) ) ) ) )).
fof(s5_modelc_1__e1_94__modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( ( ! [D] : ( r2_hidden(D,k30_modelc_1(A)) => k1_funct_1(B,D) = k32_modelc_1(A,D) ) & ! [D] : ( r2_hidden(D,k30_modelc_1(A)) => k1_funct_1(C,D) = k32_modelc_1(A,D) ) ) => r2_funct_2(k30_modelc_1(A),k30_modelc_1(A),B,C) ) ) ) ) )).
fof(s5_modelc_1__e1_98__modelc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k30_modelc_1(A),k30_modelc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k30_modelc_1(A),k30_modelc_1(A)))) ) => ( ( ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(C,E) = k35_modelc_1(A,B,E) ) & ! [E] : ( r2_hidden(E,k30_modelc_1(A)) => k1_funct_1(D,E) = k35_modelc_1(A,B,E) ) ) => r2_funct_2(k30_modelc_1(A),k30_modelc_1(A),C,D) ) ) ) ) )).
fof(s5_nat_1__e10_10__fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_fintopo4(A)),u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_fintopo4(A)),u1_struct_0(k2_fintopo4(A))))) ) => ( ? [C] : ( v7_ordinal1(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(C,A) & D = k1_funct_1(B,C) & r1_xxreal_0(C,D) ) ) ) => ? [C] : ( v7_ordinal1(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(C,A) & E = k1_funct_1(B,C) & r1_xxreal_0(C,E) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(F,A) & G = k1_funct_1(B,F) & r1_xxreal_0(F,G) ) ) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e10_13_1__dynkin,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ? [D] : ( v7_ordinal1(D) & r2_hidden(C,k8_nat_1(k9_setfam_1(A),B,D)) ) => ? [D] : ( v7_ordinal1(D) & r2_hidden(C,k8_nat_1(k9_setfam_1(A),B,D)) & ! [E] : ( v7_ordinal1(E) => ( r2_hidden(C,k8_nat_1(k9_setfam_1(A),B,E)) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e10_159_3_1_2__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & v1_relat_1(G) & v5_relat_1(G,u1_struct_0(k12_aofa_a01)) & v1_funct_1(G) & v1_finset_1(G) & v1_exchsort(G) & v2_exchsort(G,k5_numbers) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) ) => ( ? [I] : ( v7_ordinal1(I) & v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),G) ) => ? [I] : ( v7_ordinal1(I) & v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),G) & ! [J] : ( v7_ordinal1(J) => ( ( v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,J),k36_aofa_a00(A)),F),k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,J),k36_aofa_a00(A)),F),G) ) => r1_xxreal_0(I,J) ) ) ) ) ) )).
fof(s5_nat_1__e10_33__mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k8_relat_1(B,k1_tarski(A))) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k8_relat_1(B,k1_tarski(A))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k8_relat_1(B,k1_tarski(A))) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e10_34__fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) & ~ v2_struct_0(D) & l2_fsm_2(D,A,B) & m2_finseq_1(E,A) ) => ( ? [F] : ( v7_ordinal1(F) & r2_tarski(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),k8_finseq_1(A,k12_finseq_1(A,C),E)),F),u1_fsm_2(A,D)) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(k3_finseq_1(k8_finseq_1(A,k12_finseq_1(A,C),E)),1)) ) => ? [F] : ( v7_ordinal1(F) & r2_tarski(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),k8_finseq_1(A,k12_finseq_1(A,C),E)),F),u1_fsm_2(A,D)) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(k3_finseq_1(k8_finseq_1(A,k12_finseq_1(A,C),E)),1)) & ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),k8_finseq_1(A,k12_finseq_1(A,C),E)),G),u1_fsm_2(A,D)) & r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(k3_finseq_1(k8_finseq_1(A,k12_finseq_1(A,C),E)),1)) ) => r1_xxreal_0(F,G) ) ) ) ) ) )).
fof(s5_nat_1__e10_44__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k1_funct_1(B,D) != k1_funct_1(C,D) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k1_funct_1(B,D) != k1_funct_1(C,D) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & k1_funct_1(B,E) != k1_funct_1(C,E) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e10_5__ami_wstd,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ? [C] : ( v7_ordinal1(C) & k1_funct_1(A,C) != k1_funct_1(B,C) ) => ? [C] : ( v7_ordinal1(C) & k1_funct_1(A,C) != k1_funct_1(B,C) & ! [D] : ( v7_ordinal1(D) => ( k1_funct_1(A,D) != k1_funct_1(B,D) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e10_61__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k1_funct_1(B,D) != k1_funct_1(C,D) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & k1_funct_1(B,D) != k1_funct_1(C,D) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & k1_funct_1(B,E) != k1_funct_1(C,E) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e10_96__newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & r1_nat_d(A,k3_xcmplx_0(B,C)) & ~ r1_nat_d(A,B) & ~ r1_nat_d(A,C) ) ) => ? [B] : ( v7_ordinal1(B) & ? [D] : ( v7_ordinal1(D) & r1_nat_d(A,k3_xcmplx_0(B,D)) & ~ r1_nat_d(A,B) & ~ r1_nat_d(A,D) ) & ! [E] : ( v7_ordinal1(E) => ( ? [F] : ( v7_ordinal1(F) & r1_nat_d(A,k3_xcmplx_0(E,F)) & ~ r1_nat_d(A,E) & ~ r1_nat_d(A,F) ) => r1_xxreal_0(B,E) ) ) ) ) ) )).
fof(s5_nat_1__e11_63__aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & l1_unialg_1(A) ) => ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & r2_tarski(E,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,D))) & r2_tarski(C,k2_relset_1(u1_struct_0(A),E)) & C = k1_funct_1(k2_pua2mss1(A,D),E) & r2_tarski(C,k9_aofa_000(A,k11_aofa_000(A),B)) ) ) ) ) => ? [B] : ( v7_ordinal1(B) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) & ? [H] : ( m2_finseq_1(H,u1_struct_0(A)) & r2_tarski(H,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,G))) & r2_tarski(F,k2_relset_1(u1_struct_0(A),H)) & F = k1_funct_1(k2_pua2mss1(A,G),H) & r2_tarski(F,k9_aofa_000(A,k11_aofa_000(A),B)) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & ? [K] : ( m2_subset_1(K,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) & ? [L] : ( m2_finseq_1(L,u1_struct_0(A)) & r2_tarski(L,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,K))) & r2_tarski(J,k2_relset_1(u1_struct_0(A),L)) & J = k1_funct_1(k2_pua2mss1(A,K),L) & r2_tarski(J,k9_aofa_000(A,k11_aofa_000(A),I)) ) ) ) => r1_xxreal_0(B,I) ) ) ) ) ) )).
fof(s5_nat_1__e13_1_1_4_1_2_1_1_2_22_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),F),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e13_1_1_4_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & ~ r1_xxreal_0(E,D) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & ~ r1_xxreal_0(E,D) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(B)) & ~ r1_xxreal_0(F,D) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,F),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e13_1_1__goboard4,axiom,( ! [A] : ! [B] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_matrix_0(A)))) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_matrix_0(A)))) & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_matrix_0(A)))) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e13_21_2__arrow,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k9_funct_2(B,k2_arrow(A)),k2_arrow(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k2_arrow(A)),k2_arrow(A)))) & m2_finseq_1(D,B) & m1_subset_1(E,A) & m1_subset_1(F,k2_arrow(A)) & m1_subset_1(G,k2_arrow(A)) ) => ( ? [H] : ( v7_ordinal1(H) & ! [I] : ( m2_funct_2(I,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) => ( ( ! [J] : ( v7_ordinal1(J) => ( r2_tarski(J,k4_finseq_1(D)) => ( r1_xxreal_0(H,J) | k1_funct_1(I,k1_funct_1(D,J)) = G ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(J,k4_finseq_1(D)) & r1_xxreal_0(H,J) ) => k1_funct_1(I,k1_funct_1(D,J)) = F ) ) ) => ! [J] : ( m1_subset_1(J,A) => ~ ( J != E & r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,I),E,J) ) ) ) ) ) => ? [H] : ( v7_ordinal1(H) & ! [K] : ( m2_funct_2(K,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) => ( ( ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(D)) => ( r1_xxreal_0(H,L) | k1_funct_1(K,k1_funct_1(D,L)) = G ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ( r2_tarski(L,k4_finseq_1(D)) & r1_xxreal_0(H,L) ) => k1_funct_1(K,k1_funct_1(D,L)) = F ) ) ) => ! [L] : ( m1_subset_1(L,A) => ~ ( L != E & r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,K),E,L) ) ) ) ) & ! [M] : ( v7_ordinal1(M) => ( ! [N] : ( m2_funct_2(N,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) => ( ( ! [O] : ( v7_ordinal1(O) => ( r2_tarski(O,k4_finseq_1(D)) => ( r1_xxreal_0(M,O) | k1_funct_1(N,k1_funct_1(D,O)) = G ) ) ) & ! [O] : ( v7_ordinal1(O) => ( ( r2_tarski(O,k4_finseq_1(D)) & r1_xxreal_0(M,O) ) => k1_funct_1(N,k1_funct_1(D,O)) = F ) ) ) => ! [O] : ( m1_subset_1(O,A) => ~ ( O != E & r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,N),E,O) ) ) ) ) => r1_xxreal_0(H,M) ) ) ) ) ) )).
fof(s5_nat_1__e13_43_1_1_1__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) & v2_glib_001(D,A) & m3_glib_001(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,E),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) ) => ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,E),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) & ! [F] : ( v7_ordinal1(F) => ( ( ~ v1_abian(F) & r1_xxreal_0(F,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,F),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e13_70_1_1_1__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v7_ordinal1(B) & m3_glib_001(C,A) ) => ( ? [D] : ( v7_ordinal1(D) & ~ v1_abian(D) & r1_xxreal_0(D,k3_finseq_1(C)) & ~ r2_tarski(k1_funct_1(C,D),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) ) => ? [D] : ( v7_ordinal1(D) & ~ v1_abian(D) & r1_xxreal_0(D,k3_finseq_1(C)) & ~ r2_tarski(k1_funct_1(C,D),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) & ! [E] : ( v7_ordinal1(E) => ( ( ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(C)) & ~ r2_tarski(k1_funct_1(C,E),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),B))) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e15_11_5__pcomps_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k9_setfam_1(u1_struct_0(B)))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k1_funct_1(C,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k1_funct_1(C,E)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(D,k1_funct_1(C,F)) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e15_23__topreal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_xreal_0(B) & m1_subset_1(C,u1_struct_0(k14_euclid(2))) ) => ( ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ~ r1_xboole_0(k2_topreal1(2,A,D),k8_metric_1(k14_euclid(2),C,B)) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(A),1)) & ~ r1_xboole_0(k2_topreal1(2,A,D),k8_metric_1(k14_euclid(2),C,B)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k6_xcmplx_0(k3_finseq_1(A),1)) & ~ r1_xboole_0(k2_topreal1(2,A,E),k8_metric_1(k14_euclid(2),C,B)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e16_25__graph_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & l1_graph_1(A) & m1_graph_1(C,A) & m2_finseq_1(D,u1_struct_0(A)) ) => ( ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & ~ r2_tarski(k1_funct_1(D,k1_nat_1(E,1)),k1_graph_3(A,B)) ) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & ~ r2_tarski(k1_funct_1(D,k1_nat_1(E,1)),k1_graph_3(A,B)) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) & ~ r2_tarski(k1_funct_1(D,k1_nat_1(F,1)),k1_graph_3(A,B)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e18_11_3__pcomps_2,axiom,( ! [A] : ( v1_xreal_0(A) => ( ? [B] : ( v7_ordinal1(B) & r1_xxreal_0(k7_xcmplx_0(3,k1_newton(2,B)),A) ) => ? [B] : ( v7_ordinal1(B) & r1_xxreal_0(k7_xcmplx_0(3,k1_newton(2,B)),A) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k7_xcmplx_0(3,k1_newton(2,C)),A) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(s5_nat_1__e18_1_1_4_1_2_1_1_2_22_1_2_1_1_2__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) & v7_ordinal1(D) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),F),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e18_31__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e19_24_3__nagata_2,axiom,( ! [A] : ( v1_xreal_0(A) => ( ? [B] : ( v7_ordinal1(B) & r1_xxreal_0(k7_xcmplx_0(3,k1_newton(2,B)),A) ) => ? [B] : ( v7_ordinal1(B) & r1_xxreal_0(k7_xcmplx_0(3,k1_newton(2,B)),A) & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k7_xcmplx_0(3,k1_newton(2,C)),A) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(s5_nat_1__e1_39_1_2_2__gr_cy_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(D,k5_numbers) & m1_subset_1(k5_group_1(A,C,D),u1_struct_0(B)) ) => ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(D,k5_numbers) & m1_subset_1(k5_group_1(A,C,D),u1_struct_0(B)) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(E,k5_numbers) & m1_subset_1(k5_group_1(A,C,E),u1_struct_0(B)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e20_28__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),E) = C ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e20_34_4__integra3,axiom,( ! [A] : ( ( v7_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ( ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k4_finseq_1(A)) & ~ r1_xxreal_0(k1_funct_1(A,B),k5_numbers) ) => ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k4_finseq_1(A)) & ~ r1_xxreal_0(k1_funct_1(A,B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) & ~ r1_xxreal_0(k1_funct_1(A,C),k5_numbers) ) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(s5_nat_1__e20_36__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k9_matrixj2(A,B,C),D) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,D),k4_struct_0(B)) = k4_struct_0(B) ) => ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k9_matrixj2(A,B,C),D) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,D),k4_struct_0(B)) = k4_struct_0(B) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(k9_matrixj2(A,B,C),E) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,E),k4_struct_0(B)) = k4_struct_0(B) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e20_59__neckla_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(k1_funct_1(B,C),u1_struct_0(A)) & r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => ( r1_xxreal_0(D,C) | r2_tarski(k1_funct_1(B,D),u1_struct_0(A)) ) ) ) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(k1_funct_1(B,C),u1_struct_0(A)) & r2_tarski(C,k4_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ( r1_xxreal_0(E,C) | r2_tarski(k1_funct_1(B,E),u1_struct_0(A)) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(k1_funct_1(B,F),u1_struct_0(A)) & r2_tarski(F,k4_finseq_1(B)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(B)) => ( r1_xxreal_0(G,F) | r2_tarski(k1_funct_1(B,G),u1_struct_0(A)) ) ) ) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e20_61_8_1_1_1__neckla_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(k1_funct_1(B,C),A) & r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => ( r1_xxreal_0(D,C) | r2_tarski(k1_funct_1(B,D),A) ) ) ) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(k1_funct_1(B,C),A) & r2_tarski(C,k4_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ( r1_xxreal_0(E,C) | r2_tarski(k1_funct_1(B,E),A) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(k1_funct_1(B,F),A) & r2_tarski(F,k4_finseq_1(B)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(B)) => ( r1_xxreal_0(G,F) | r2_tarski(k1_funct_1(B,G),A) ) ) ) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e20_61_8_1_2_1__neckla_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(k1_funct_1(B,C),A) & r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => ( r1_xxreal_0(D,C) | r2_tarski(k1_funct_1(B,D),A) ) ) ) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(k1_funct_1(B,C),A) & r2_tarski(C,k4_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ( r1_xxreal_0(E,C) | r2_tarski(k1_funct_1(B,E),A) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(k1_funct_1(B,F),A) & r2_tarski(F,k4_finseq_1(B)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(B)) => ( r1_xxreal_0(G,F) | r2_tarski(k1_funct_1(B,G),A) ) ) ) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e21_35_4__integra3,axiom,( ! [A] : ( ( v7_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ( ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k4_finseq_1(A)) & ~ r1_xxreal_0(k1_funct_1(A,B),k5_numbers) ) => ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k4_finseq_1(A)) & ~ r1_xxreal_0(k1_funct_1(A,B),k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) & ~ r1_xxreal_0(k1_funct_1(A,C),k5_numbers) ) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(s5_nat_1__e21_35__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),E) = C ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e22_24_2__graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & m1_subset_1(k1_funct_1(C,D),u1_struct_0(B)) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & m1_subset_1(k1_funct_1(C,D),u1_struct_0(B)) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) & m1_subset_1(k1_funct_1(C,E),u1_struct_0(B)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e22_82_1__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v1_glib_004(B,A) & m1_glib_000(B,A) ) => ( ? [C] : ( v7_ordinal1(C) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k25_glib_000(A,B)) ) => ? [C] : ( v7_ordinal1(C) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k25_glib_000(A,B)) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),D)),k25_glib_000(A,B)) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e2_12_4_2__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ? [E] : ( v7_ordinal1(E) & r2_hidden(D,k8_nat_1(B,C,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_hidden(D,k8_nat_1(B,C,E)) & ! [F] : ( v7_ordinal1(F) => ( r2_hidden(D,k8_nat_1(B,C,F)) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e2_22__lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) ) => ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & ? [F] : ( v1_int_1(F) & ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(A,B) & k3_xcmplx_0(B,A) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(C),k1_pepin(D)),k1_pepin(E)),k1_pepin(F)) ) ) ) ) ) => ? [B] : ( v7_ordinal1(B) & ? [G] : ( v1_int_1(G) & ? [H] : ( v1_int_1(H) & ? [I] : ( v1_int_1(I) & ? [J] : ( v1_int_1(J) & ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(A,B) & k3_xcmplx_0(B,A) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(G),k1_pepin(H)),k1_pepin(I)),k1_pepin(J)) ) ) ) ) & ! [K] : ( v7_ordinal1(K) => ( ? [L] : ( v1_int_1(L) & ? [M] : ( v1_int_1(M) & ? [N] : ( v1_int_1(N) & ? [O] : ( v1_int_1(O) & ~ r1_xxreal_0(K,k5_numbers) & ~ r1_xxreal_0(A,K) & k3_xcmplx_0(K,A) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(L),k1_pepin(M)),k1_pepin(N)),k1_pepin(O)) ) ) ) ) => r1_xxreal_0(B,K) ) ) ) ) ) )).
fof(s5_nat_1__e2_24_2_1__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ? [E] : ( v7_ordinal1(E) & r2_hidden(D,k8_nat_1(B,C,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_hidden(D,k8_nat_1(B,C,E)) & ! [F] : ( v7_ordinal1(F) => ( r2_hidden(D,k8_nat_1(B,C,F)) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e2_2_1_1__measure4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ? [E] : ( v7_ordinal1(E) & r2_hidden(D,k8_nat_1(B,C,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_hidden(D,k8_nat_1(B,C,E)) & ! [F] : ( v7_ordinal1(F) => ( r2_hidden(D,k8_nat_1(B,C,F)) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e31_31__jordan20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ? [D] : ( v7_ordinal1(D) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( E = k1_funct_1(B,k7_nat_d(C,D)) & k17_euclid(E) = A ) ) ) => ? [D] : ( v7_ordinal1(D) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F = k1_funct_1(B,k7_nat_d(C,D)) & k17_euclid(F) = A ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) => ~ ( H = k1_funct_1(B,k7_nat_d(C,G)) & k17_euclid(H) = A ) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e33_32__jordan20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ? [D] : ( v7_ordinal1(D) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( E = k1_funct_1(B,k2_xcmplx_0(k1_nat_1(C,1),D)) & k17_euclid(E) = A ) ) ) => ? [D] : ( v7_ordinal1(D) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F = k1_funct_1(B,k2_xcmplx_0(k1_nat_1(C,1),D)) & k17_euclid(F) = A ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) => ~ ( H = k1_funct_1(B,k2_xcmplx_0(k1_nat_1(C,1),G)) & k17_euclid(H) = A ) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e36_139_1__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & v5_glib_001(B,A) & m3_glib_001(B,A) & m1_subset_1(C,k6_glib_000(A)) ) => ( ? [D] : ( v7_ordinal1(D) & ~ v1_abian(D) & ~ r1_xxreal_0(D,3) & r1_xxreal_0(D,k3_finseq_1(B)) & ? [E] : r1_glib_000(A,k1_funct_1(B,D),C,E) ) => ? [D] : ( v7_ordinal1(D) & ~ v1_abian(D) & ~ r1_xxreal_0(D,3) & r1_xxreal_0(D,k3_finseq_1(B)) & ? [F] : r1_glib_000(A,k1_funct_1(B,D),C,F) & ! [G] : ( v7_ordinal1(G) => ( ( ~ v1_abian(G) & ~ r1_xxreal_0(G,3) & r1_xxreal_0(G,k3_finseq_1(B)) & ? [H] : r1_glib_000(A,k1_funct_1(B,G),C,H) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e36_1_1__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(A)) & k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) != k1_xboole_0 ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(A)) & k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) != k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(A)) & k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,E))) != k1_xboole_0 ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e3_21__rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( ? [B] : ( v7_ordinal1(B) & B != k5_numbers & ? [C] : ( v1_int_1(C) & A = k7_xcmplx_0(C,B) ) ) => ? [B] : ( v7_ordinal1(B) & B != k5_numbers & ? [D] : ( v1_int_1(D) & A = k7_xcmplx_0(D,B) ) & ! [E] : ( v7_ordinal1(E) => ( ( E != k5_numbers & ? [F] : ( v1_int_1(F) & A = k7_xcmplx_0(F,E) ) ) => r1_xxreal_0(B,E) ) ) ) ) ) )).
fof(s5_nat_1__e3_231_1_1_2__glib_001,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_001(B,A) & m3_glib_001(B,A) ) => ( ? [C] : ( v7_ordinal1(C) & ~ v1_abian(C) & ~ r1_xxreal_0(C,1) & r1_xxreal_0(C,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,k3_finseq_1(B)) ) => ? [C] : ( v7_ordinal1(C) & ~ v1_abian(C) & ~ r1_xxreal_0(C,1) & r1_xxreal_0(C,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( ( ~ v1_abian(D) & ~ r1_xxreal_0(D,1) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,D) = k1_funct_1(B,k3_finseq_1(B)) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e3_23__graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) & m2_finseq_1(C,u4_struct_0(B)) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & ~ r1_tarski(k1_graph_5(B,k7_partfun1(u4_struct_0(B),C,D)),A) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & ~ r1_tarski(k1_graph_5(B,k7_partfun1(u4_struct_0(B),C,D)),A) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) & ~ r1_tarski(k1_graph_5(B,k7_partfun1(u4_struct_0(B),C,E)),A) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e3_25_1_2_1__group_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(D,k5_numbers) & r1_struct_0(B,k5_group_1(A,C,D)) ) => ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(D,k5_numbers) & r1_struct_0(B,k5_group_1(A,C,D)) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(E,k5_numbers) & r1_struct_0(B,k5_group_1(A,C,E)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e3_29_1_1_1_2_3_1_2_1_2_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) & m1_subset_1(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(B,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(B,E)) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(B)) & ~ r1_xxreal_0(F,C) & r2_tarski(D,k1_funct_1(B,F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e3_29_1_1_1_2_3_1_2_1_2_1_2__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(B,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(B,E)) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(B)) & r1_xxreal_0(F,C) & r2_tarski(D,k1_funct_1(B,F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e3_33_1_1_2__rfinseq,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_1(B,k1_numbers) & v8_valued_0(C) & m2_finseq_1(C,k1_numbers) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & ! [E] : ( v1_xreal_0(E) => ~ ( E = k1_funct_1(C,D) & r1_xxreal_0(k1_funct_1(B,k1_nat_1(A,1)),E) ) ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & ! [F] : ( v1_xreal_0(F) => ~ ( F = k1_funct_1(C,D) & r1_xxreal_0(k1_funct_1(B,k1_nat_1(A,1)),F) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k4_finseq_1(C)) & ! [H] : ( v1_xreal_0(H) => ~ ( H = k1_funct_1(C,G) & r1_xxreal_0(k1_funct_1(B,k1_nat_1(A,1)),H) ) ) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e3_36_1_1_1_2_3_1_2_1_2_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) & m1_subset_1(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),E)) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(k2_rearran1(A,B))) & ~ r1_xxreal_0(F,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e3_36_1_1_1_2_3_1_2_1_2_1_2__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k4_ordinal1) & m1_subset_1(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),E)) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(k2_rearran1(A,B))) & r1_xxreal_0(F,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e3_36_1_1_1_2__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),E) = C ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e3_37__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ? [D] : ( v7_ordinal1(D) & ! [E] : ( v7_ordinal1(E) => r1_xxreal_0(k1_vectsp_9(A,k1_ranknull(A,B,B,k1_vectsp11(B,C,E))),D) ) ) => ? [D] : ( v7_ordinal1(D) & ! [F] : ( v7_ordinal1(F) => r1_xxreal_0(k1_vectsp_9(A,k1_ranknull(A,B,B,k1_vectsp11(B,C,F))),D) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( v7_ordinal1(H) => r1_xxreal_0(k1_vectsp_9(A,k1_ranknull(A,B,B,k1_vectsp11(B,C,H))),G) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e3_44_1_7_1_2__simplex2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ? [E] : ( v7_ordinal1(E) & ~ r1_xxreal_0(E,1) & r1_xxreal_0(E,k3_finseq_1(o_2_3_simplex2(A,B))) & r1_tarski(D,k1_funct_1(C,E)) ) => ? [E] : ( v7_ordinal1(E) & ~ r1_xxreal_0(E,1) & r1_xxreal_0(E,k3_finseq_1(o_2_3_simplex2(A,B))) & r1_tarski(D,k1_funct_1(C,E)) & ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(F,1) & r1_xxreal_0(F,k3_finseq_1(o_2_3_simplex2(A,B))) & r1_tarski(D,k1_funct_1(C,F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e3_66__fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) ) => ( ? [E] : ( v7_ordinal1(E) & ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & v2_fintopo6(F,A) & r1_tarski(k2_relset_1(u1_struct_0(A),F),B) & k1_funct_1(F,1) = C & k1_funct_1(F,k3_finseq_1(F)) = D & E = k3_finseq_1(F) ) ) => ? [E] : ( v7_ordinal1(E) & ? [G] : ( m2_finseq_1(G,u1_struct_0(A)) & v2_fintopo6(G,A) & r1_tarski(k2_relset_1(u1_struct_0(A),G),B) & k1_funct_1(G,1) = C & k1_funct_1(G,k3_finseq_1(G)) = D & E = k3_finseq_1(G) ) & ! [H] : ( v7_ordinal1(H) => ( ? [I] : ( m2_finseq_1(I,u1_struct_0(A)) & v2_fintopo6(I,A) & r1_tarski(k2_relset_1(u1_struct_0(A),I),B) & k1_funct_1(I,1) = C & k1_funct_1(I,k3_finseq_1(I)) = D & H = k3_finseq_1(I) ) => r1_xxreal_0(E,H) ) ) ) ) ) )).
fof(s5_nat_1__e3_6_2__measure2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k8_nat_1(B,C,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(D,k8_nat_1(B,C,E)) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(D,k8_nat_1(B,C,F)) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e3_96__finseq_1,axiom,( ? [A] : ( v7_ordinal1(A) & ? [B] : ( v7_ordinal1(B) & r2_wellord2(k2_finseq_1(B),k2_finseq_1(A)) & B != A ) ) => ? [A] : ( v7_ordinal1(A) & ? [C] : ( v7_ordinal1(C) & r2_wellord2(k2_finseq_1(C),k2_finseq_1(A)) & C != A ) & ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v7_ordinal1(E) & r2_wellord2(k2_finseq_1(E),k2_finseq_1(D)) & E != D ) => r1_xxreal_0(A,D) ) ) ) )).
fof(s5_nat_1__e46_159__aofa_a01,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) & v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) & v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) & v3_aofa_a01(F,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(F,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) & ~ v1_xboole_0(G) & v1_relat_1(G) & v5_relat_1(G,u1_struct_0(k12_aofa_a01)) & v1_funct_1(G) & v1_finset_1(G) & v1_exchsort(G) & v2_exchsort(G,k5_numbers) & v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))))) ) => ( ? [I] : ( v7_ordinal1(I) & v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),G) ) => ? [I] : ( v7_ordinal1(I) & v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,I),k36_aofa_a00(A)),F),G) & ! [J] : ( v7_ordinal1(J) => ( ( v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,J),k36_aofa_a00(A)),F),k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k8_nat_1(k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),H,J),k36_aofa_a00(A)),F),G) ) => r1_xxreal_0(I,J) ) ) ) ) ) )).
fof(s5_nat_1__e4_11__urysohn3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ? [B] : ( v7_ordinal1(B) & r2_hidden(A,k1_urysohn1(B)) ) => ? [B] : ( v7_ordinal1(B) & r2_hidden(A,k1_urysohn1(B)) & ! [C] : ( v7_ordinal1(C) => ( r2_hidden(A,k1_urysohn1(C)) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(s5_nat_1__e4_27_1_2__graph_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & v7_graph_1(C,A) & m2_graph_1(C,A) ) => ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & ? [G] : ( v7_graph_1(G,A) & m2_graph_1(G,A) & ? [H] : ( m2_finseq_1(H,u1_struct_0(A)) & k15_finseq_1(E) = G & k15_finseq_1(F) = H & r3_graph_4(A,H,G) & k1_funct_1(B,1) = k1_funct_1(H,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(H,k3_finseq_1(H)) & k3_finseq_1(G) = D & ~ v1_graph_4(G,A) ) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & ? [I] : ( m1_subset_1(I,k1_zfmisc_1(C)) & ? [J] : ( m1_subset_1(J,k1_zfmisc_1(B)) & ? [K] : ( v7_graph_1(K,A) & m2_graph_1(K,A) & ? [L] : ( m2_finseq_1(L,u1_struct_0(A)) & k15_finseq_1(I) = K & k15_finseq_1(J) = L & r3_graph_4(A,L,K) & k1_funct_1(B,1) = k1_funct_1(L,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(L,k3_finseq_1(L)) & k3_finseq_1(K) = D & ~ v1_graph_4(K,A) ) ) ) ) & ! [M] : ( v7_ordinal1(M) => ( ? [N] : ( m1_subset_1(N,k1_zfmisc_1(C)) & ? [O] : ( m1_subset_1(O,k1_zfmisc_1(B)) & ? [P] : ( v7_graph_1(P,A) & m2_graph_1(P,A) & ? [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) & k15_finseq_1(N) = P & k15_finseq_1(O) = Q & r3_graph_4(A,Q,P) & k1_funct_1(B,1) = k1_funct_1(Q,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(Q,k3_finseq_1(Q)) & k3_finseq_1(P) = M & ~ v1_graph_4(P,A) ) ) ) ) => r1_xxreal_0(D,M) ) ) ) ) ) )).
fof(s5_nat_1__e4_27__turing_1,axiom,( ! [A] : ! [B] : ( ( l1_turing_1(A) & m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) ) => ( ? [C] : ( v7_ordinal1(C) & k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),C)) = u5_turing_1(A) ) => ? [C] : ( v7_ordinal1(C) & k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),C)) = u5_turing_1(A) & ! [D] : ( v7_ordinal1(D) => ( k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),D)) = u5_turing_1(A) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e4_46_1_1_1_2_5_2_1__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) & v2_glib_001(D,A) & v5_glib_001(D,A) & m3_glib_001(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,E),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) ) => ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,E),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) & ! [F] : ( v7_ordinal1(F) => ( ( ~ v1_abian(F) & r1_xxreal_0(F,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,F),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e4_48_2_1_3__wsierp_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ? [C] : ( v7_ordinal1(C) & ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & C = k2_xcmplx_0(k3_xcmplx_0(A,D),k3_xcmplx_0(B,E)) & C != k5_numbers ) ) ) => ? [C] : ( v7_ordinal1(C) & ? [F] : ( v1_int_1(F) & ? [G] : ( v1_int_1(G) & C = k2_xcmplx_0(k3_xcmplx_0(A,F),k3_xcmplx_0(B,G)) & C != k5_numbers ) ) & ! [H] : ( v7_ordinal1(H) => ( ? [I] : ( v1_int_1(I) & ? [J] : ( v1_int_1(J) & H = k2_xcmplx_0(k3_xcmplx_0(A,I),k3_xcmplx_0(B,J)) & H != k5_numbers ) ) => r1_xxreal_0(C,H) ) ) ) ) ) )).
fof(s5_nat_1__e4_64_1_2__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_graph_1(C,A) ) => ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) & ? [G] : ( m2_graph_1(G,A) & ? [H] : ( m2_finseq_1(H,u1_struct_0(A)) & k15_finseq_1(E) = G & k15_finseq_1(F) = H & r1_graph_2(A,H,G) & k1_funct_1(B,1) = k1_funct_1(H,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(H,k3_finseq_1(H)) & k3_finseq_1(G) = D & ~ ( v3_graph_2(G,A) & m2_graph_1(G,A) ) ) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & ? [I] : ( m1_subset_1(I,k1_zfmisc_1(C)) & ? [J] : ( m1_subset_1(J,k1_zfmisc_1(B)) & ? [K] : ( m2_graph_1(K,A) & ? [L] : ( m2_finseq_1(L,u1_struct_0(A)) & k15_finseq_1(I) = K & k15_finseq_1(J) = L & r1_graph_2(A,L,K) & k1_funct_1(B,1) = k1_funct_1(L,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(L,k3_finseq_1(L)) & k3_finseq_1(K) = D & ~ ( v3_graph_2(K,A) & m2_graph_1(K,A) ) ) ) ) ) & ! [M] : ( v7_ordinal1(M) => ( ? [N] : ( m1_subset_1(N,k1_zfmisc_1(C)) & ? [O] : ( m1_subset_1(O,k1_zfmisc_1(B)) & ? [P] : ( m2_graph_1(P,A) & ? [Q] : ( m2_finseq_1(Q,u1_struct_0(A)) & k15_finseq_1(N) = P & k15_finseq_1(O) = Q & r1_graph_2(A,Q,P) & k1_funct_1(B,1) = k1_funct_1(Q,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(Q,k3_finseq_1(Q)) & k3_finseq_1(P) = M & ~ ( v3_graph_2(P,A) & m2_graph_1(P,A) ) ) ) ) ) => r1_xxreal_0(D,M) ) ) ) ) ) )).
fof(s5_nat_1__e4_76_1__flang_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(k5_afinsq_1(B),k7_flang_1(A,C,D)) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(k5_afinsq_1(B),k7_flang_1(A,C,D)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k5_afinsq_1(B),k7_flang_1(A,C,E)) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e4_82_1_12_1_1__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v1_glib_004(B,A) & m1_glib_000(B,A) & v7_ordinal1(C) & v5_glib_001(D,o_3_5_glib_004(A,B,C)) & m3_glib_001(D,o_3_5_glib_004(A,B,C)) ) => ( ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C))) ) => ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C))) & ! [F] : ( v7_ordinal1(F) => ( ( ~ v1_abian(F) & r1_xxreal_0(F,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,F),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e4_82_1_12_1_2__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v1_glib_004(B,A) & m1_glib_000(B,A) & v7_ordinal1(C) & v5_glib_001(D,o_3_5_glib_004(A,B,C)) & m3_glib_001(D,o_3_5_glib_004(A,B,C)) ) => ( ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k6_subset_1(k6_glib_000(A),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)))) ) => ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),k6_subset_1(k6_glib_000(A),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)))) & ! [F] : ( v7_ordinal1(F) => ( ( ~ v1_abian(F) & r1_xxreal_0(F,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,F),k6_subset_1(k6_glib_000(A),k2_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e4_88__trees_9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k2_relset_1(k4_ordinal1,A)) ) => ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k2_relset_1(k4_ordinal1,A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_relset_1(k4_ordinal1,A)) => r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(s5_nat_1__e5_143_1_1__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_aofa_000(D,A,B,C) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,B) ) => ( ? [G] : ( v7_ordinal1(G) & ~ r2_hidden(k3_funct_2(B,B,k1_abian(B,k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),G),F),C) ) => ? [G] : ( v7_ordinal1(G) & ~ r2_hidden(k3_funct_2(B,B,k1_abian(B,k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),G),F),C) & ! [H] : ( v7_ordinal1(H) => ( ~ r2_hidden(k3_funct_2(B,B,k1_abian(B,k10_funct_5(u1_struct_0(A),B,B,k9_funct_2(B,B),k12_funct_5(B,u1_struct_0(A),B,D),E),H),F),C) => r1_xxreal_0(G,H) ) ) ) ) ) )).
fof(s5_nat_1__e5_24_1__osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_orders_3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & k1_funct_1(C,D) != B & r1_xxreal_0(1,D) ) => ? [D] : ( v7_ordinal1(D) & k1_funct_1(C,D) != B & r1_xxreal_0(1,D) & ! [E] : ( v7_ordinal1(E) => ( ( k1_funct_1(C,E) != B & r1_xxreal_0(1,E) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e5_39__topgen_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & ~ v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ( ? [C] : ( v7_ordinal1(C) & ~ ( r2_tarski(C,A) <=> r2_tarski(C,B) ) ) => ? [C] : ( v7_ordinal1(C) & ~ ( r2_tarski(C,A) <=> r2_tarski(C,B) ) & ! [D] : ( v7_ordinal1(D) => ( ~ ( r2_tarski(D,A) <=> r2_tarski(D,B) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e5_6__graph_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) & k1_recdef_1(k14_finseq_1(a_2_1_graph_2(A,B)),C) != k2_xcmplx_0(A,C) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) & k1_recdef_1(k14_finseq_1(a_2_1_graph_2(A,B)),C) != k2_xcmplx_0(A,C) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,B) & k1_recdef_1(k14_finseq_1(a_2_1_graph_2(A,B)),D) != k2_xcmplx_0(A,D) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e5_9__euler_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ? [C] : ( v7_ordinal1(C) & ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & C = k2_xcmplx_0(k3_xcmplx_0(D,A),k3_xcmplx_0(E,B)) & ~ r1_xxreal_0(C,k5_numbers) ) ) ) => ? [C] : ( v7_ordinal1(C) & ? [F] : ( v1_int_1(F) & ? [G] : ( v1_int_1(G) & C = k2_xcmplx_0(k3_xcmplx_0(F,A),k3_xcmplx_0(G,B)) & ~ r1_xxreal_0(C,k5_numbers) ) ) & ! [H] : ( v7_ordinal1(H) => ( ? [I] : ( v1_int_1(I) & ? [J] : ( v1_int_1(J) & H = k2_xcmplx_0(k3_xcmplx_0(I,A),k3_xcmplx_0(J,B)) & ~ r1_xxreal_0(H,k5_numbers) ) ) => r1_xxreal_0(C,H) ) ) ) ) ) )).
fof(s5_nat_1__e6_108__abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & l3_abcmiz_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_abcmiz_0(A))) ) => ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_finseq_1(E,u1_abcmiz_0(A)) & D = k3_finseq_1(E) & k2_relset_1(u1_abcmiz_0(A),E) = C & r5_abcmiz_0(A,B,E) ) ) => ? [D] : ( v7_ordinal1(D) & ? [F] : ( m2_finseq_1(F,u1_abcmiz_0(A)) & D = k3_finseq_1(F) & k2_relset_1(u1_abcmiz_0(A),F) = C & r5_abcmiz_0(A,B,F) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( m2_finseq_1(H,u1_abcmiz_0(A)) & G = k3_finseq_1(H) & k2_relset_1(u1_abcmiz_0(A),H) = C & r5_abcmiz_0(A,B,H) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e6_14__int_3,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => ( ? [C] : ( v7_ordinal1(C) & ? [D] : ( v1_int_1(D) & C = k6_xcmplx_0(A,k3_xcmplx_0(D,B)) ) ) => ? [C] : ( v7_ordinal1(C) & ? [E] : ( v1_int_1(E) & C = k6_xcmplx_0(A,k3_xcmplx_0(E,B)) ) & ! [F] : ( v7_ordinal1(F) => ( ? [G] : ( v1_int_1(G) & F = k6_xcmplx_0(A,k3_xcmplx_0(G,B)) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e6_23_1_1_1_2__int_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & v1_int_3(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_tarski(E,a_3_0_int_3(A,B,C)) & E != k4_struct_0(A) & D = k3_funct_2(u1_struct_0(A),k4_ordinal1,o_1_0_int_3(A),E) ) ) => ? [D] : ( v7_ordinal1(D) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,a_3_0_int_3(A,B,C)) & F != k4_struct_0(A) & D = k3_funct_2(u1_struct_0(A),k4_ordinal1,o_1_0_int_3(A),F) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,a_3_0_int_3(A,B,C)) & H != k4_struct_0(A) & G = k3_funct_2(u1_struct_0(A),k4_ordinal1,o_1_0_int_3(A),H) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e6_28_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,A) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(C,k1_funct_1(B,D)) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(C,k1_funct_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(C,k1_funct_1(B,E)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e6_35_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,A) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k2_rearran1(A,B))) & r2_tarski(C,k1_funct_1(k2_rearran1(A,B),D)) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k2_rearran1(A,B))) & r2_tarski(C,k1_funct_1(k2_rearran1(A,B),D)) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & r2_tarski(C,k1_funct_1(k2_rearran1(A,B),E)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e6_3__weddwitt,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) & m1_subset_1(C,k4_ordinal1) ) => ( ? [D] : ( v7_ordinal1(D) & r1_nat_d(k7_nat_d(k11_newton(A,B),1),k7_nat_d(k11_newton(A,k1_nat_1(k3_xcmplx_0(B,D),k4_nat_d(C,B))),1)) ) => ? [D] : ( v7_ordinal1(D) & r1_nat_d(k7_nat_d(k11_newton(A,B),1),k7_nat_d(k11_newton(A,k1_nat_1(k3_xcmplx_0(B,D),k4_nat_d(C,B))),1)) & ! [E] : ( v7_ordinal1(E) => ( r1_nat_d(k7_nat_d(k11_newton(A,B),1),k7_nat_d(k11_newton(A,k1_nat_1(k3_xcmplx_0(B,E),k4_nat_d(C,B))),1)) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e6_6__scpqsort,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( ? [D] : ( v7_ordinal1(D) & ~ r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),D)),k9_xtuple_0(k10_compos_1(k1_scmpds_2,C))) ) => ? [D] : ( v7_ordinal1(D) & ~ r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),D)),k9_xtuple_0(k10_compos_1(k1_scmpds_2,C))) & ! [E] : ( v7_ordinal1(E) => ( ~ r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),E)),k9_xtuple_0(k10_compos_1(k1_scmpds_2,C))) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e6_96__newton,axiom,( ? [A] : ( v7_ordinal1(A) & v1_int_2(A) & ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & r1_nat_d(A,k3_xcmplx_0(B,C)) & ~ r1_nat_d(A,B) & ~ r1_nat_d(A,C) ) ) ) => ? [A] : ( v7_ordinal1(A) & v1_int_2(A) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & r1_nat_d(A,k3_xcmplx_0(D,E)) & ~ r1_nat_d(A,D) & ~ r1_nat_d(A,E) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( v1_int_2(F) & ? [G] : ( v7_ordinal1(G) & ? [H] : ( v7_ordinal1(H) & r1_nat_d(F,k3_xcmplx_0(G,H)) & ~ r1_nat_d(F,G) & ~ r1_nat_d(F,H) ) ) ) => r1_xxreal_0(A,F) ) ) ) )).
fof(s5_nat_1__e7_17__fsm_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,A) & ~ v2_struct_0(C) & l1_fsm_1(C,A) & m1_subset_1(D,u1_struct_0(C)) & m2_finseq_1(E,A) ) => ( ? [F] : ( v7_ordinal1(F) & D = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),k8_finseq_1(A,k12_finseq_1(A,B),E)),F) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(k3_finseq_1(k8_finseq_1(A,k12_finseq_1(A,B),E)),1)) ) => ? [F] : ( v7_ordinal1(F) & D = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),k8_finseq_1(A,k12_finseq_1(A,B),E)),F) & r1_xxreal_0(1,F) & r1_xxreal_0(F,k1_nat_1(k3_finseq_1(k8_finseq_1(A,k12_finseq_1(A,B),E)),1)) & ! [G] : ( v7_ordinal1(G) => ( ( D = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),k8_finseq_1(A,k12_finseq_1(A,B),E)),G) & r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(k3_finseq_1(k8_finseq_1(A,k12_finseq_1(A,B),E)),1)) ) => r1_xxreal_0(F,G) ) ) ) ) ) )).
fof(s5_nat_1__e7_29_1_1_1_2__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),E) = C ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e7_32_2__glib_005,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) & m1_subset_1(C,k6_glib_000(A)) & v5_glib_001(D,A) & m3_glib_001(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,E),k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,C))) ) => ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & r1_xxreal_0(E,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,E),k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,C))) & ! [F] : ( v7_ordinal1(F) => ( ( ~ v1_abian(F) & r1_xxreal_0(F,k3_finseq_1(D)) & ~ r2_tarski(k1_funct_1(D,F),k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,C))) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e7_48__matrixj2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_matrixj2(B,A,k4_struct_0(A)) ) => ( ? [C] : ( v7_ordinal1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => r1_xxreal_0(k3_finseq_1(k14_matrixj1(u1_struct_0(A),B,D)),C) ) ) ) => ? [C] : ( v7_ordinal1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => r1_xxreal_0(k3_finseq_1(k14_matrixj1(u1_struct_0(A),B,E)),C) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(B)) => r1_xxreal_0(k3_finseq_1(k14_matrixj1(u1_struct_0(A),B,G)),F) ) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e7_49__matroid0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ? [C] : ( v7_ordinal1(C) & ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(D,B) => r1_xxreal_0(k4_card_1(D),C) ) ) ) => ? [C] : ( v7_ordinal1(C) & ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(E,B) => r1_xxreal_0(k4_card_1(E),C) ) ) & ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v3_pre_topc(G,A) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(G,B) => r1_xxreal_0(k4_card_1(G),F) ) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e7_51_1_1_2_1__graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & k1_funct_1(C,D) != k1_funct_1(B,D) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(C)) & k1_funct_1(C,D) != k1_funct_1(B,D) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) & k1_funct_1(C,E) != k1_funct_1(B,E) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e7_57_2__topdim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ? [D] : ( v7_ordinal1(D) & r2_hidden(C,k8_nat_1(k9_setfam_1(A),B,D)) ) => ? [D] : ( v7_ordinal1(D) & r2_hidden(C,k8_nat_1(k9_setfam_1(A),B,D)) & ! [E] : ( v7_ordinal1(E) => ( r2_hidden(C,k8_nat_1(k9_setfam_1(A),B,E)) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e7_73_1__nat_d,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(C,a_2_0_nat_d(A,B)) & C != k5_numbers ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,a_2_0_nat_d(A,B)) & C != k5_numbers & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,a_2_0_nat_d(A,B)) & D != k5_numbers ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e7_93_1_1__polynom5,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & m1_subset_1(B,u1_struct_0(k1_complfld)) ) => ( ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & k1_funct_1(k6_polynom5(k1_complfld,A,k5_polynom5(k1_complfld,B,k1_group_1(k1_complfld))),C) != k4_struct_0(k1_complfld) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & k1_funct_1(k6_polynom5(k1_complfld,A,k5_polynom5(k1_complfld,B,k1_group_1(k1_complfld))),C) != k4_struct_0(k1_complfld) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & k1_funct_1(k6_polynom5(k1_complfld,A,k5_polynom5(k1_complfld,B,k1_group_1(k1_complfld))),D) != k4_struct_0(k1_complfld) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e8_29_1_1_1_2_3_1_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) & m1_subset_1(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(B,E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(B,E)) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(B)) & ~ r1_xxreal_0(F,C) & r2_tarski(D,k1_funct_1(B,F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e8_30__helly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) & v5_glib_001(B,A) & m3_glib_001(B,A) & v5_glib_001(C,A) & m3_glib_001(C,A) & ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & ~ r1_xxreal_0(E,D) & r1_xxreal_0(E,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,E),k13_glib_001(A,B)) ) => ? [E] : ( v7_ordinal1(E) & ~ v1_abian(E) & ~ r1_xxreal_0(E,D) & r1_xxreal_0(E,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,E),k13_glib_001(A,B)) & ! [F] : ( v7_ordinal1(F) => ( ( ~ v1_abian(F) & ~ r1_xxreal_0(F,D) & r1_xxreal_0(F,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,F),k13_glib_001(A,B)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e8_36_1_1_1_2_3_1_1_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) & m1_subset_1(D,A) ) => ( ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),E)) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & ~ r1_xxreal_0(E,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),E)) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(k2_rearran1(A,B))) & ~ r1_xxreal_0(F,C) & r2_tarski(D,k1_funct_1(k2_rearran1(A,B),F)) ) => r1_xxreal_0(E,F) ) ) ) ) ) )).
fof(s5_nat_1__e8_43_1_1__necklace,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k4_necklace(A)))) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(C,B) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,B) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e8_43_1_2__necklace,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k4_necklace(A)))) ) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(C,B) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,B) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e8_45_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,A) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(C,k1_funct_1(B,D)) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(C,k1_funct_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(C,k1_funct_1(B,E)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e8_50_1__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_rearran1(B) & v2_rearran1(B) & v3_rearran1(B,k1_zfmisc_1(A)) & m2_finseq_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,A) ) => ( ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k2_rearran1(A,B))) & r2_tarski(C,k1_funct_1(k2_rearran1(A,B),D)) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k2_rearran1(A,B))) & r2_tarski(C,k1_funct_1(k2_rearran1(A,B),D)) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k2_rearran1(A,B))) & r2_tarski(C,k1_funct_1(k2_rearran1(A,B),E)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e8_64__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_freealg(A) & l1_unialg_1(A) & m1_freealg(B,A) & m2_subset_1(C,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) ) => ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & r2_tarski(E,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,C))) & r2_tarski(k1_funct_1(k2_pua2mss1(A,C),E),k9_aofa_000(A,B,k1_nat_1(D,1))) & ~ r1_tarski(k2_relset_1(u1_struct_0(A),E),k9_aofa_000(A,B,D)) ) ) => ? [D] : ( v7_ordinal1(D) & ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,C))) & r2_tarski(k1_funct_1(k2_pua2mss1(A,C),F),k9_aofa_000(A,B,k1_nat_1(D,1))) & ~ r1_tarski(k2_relset_1(u1_struct_0(A),F),k9_aofa_000(A,B,D)) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( m2_finseq_1(H,u1_struct_0(A)) & r2_tarski(H,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,C))) & r2_tarski(k1_funct_1(k2_pua2mss1(A,C),H),k9_aofa_000(A,B,k1_nat_1(G,1))) & ~ r1_tarski(k2_relset_1(u1_struct_0(A),H),k9_aofa_000(A,B,G)) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e8_7_1_2__integra3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_integra1(C,B) ) => ( ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(k2_seq_4(k2_integra1(B,C,D)),A) & r2_tarski(D,k4_finseq_1(C)) ) => ? [D] : ( v7_ordinal1(D) & ~ r1_xxreal_0(k2_seq_4(k2_integra1(B,C,D)),A) & r2_tarski(D,k4_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( ( ~ r1_xxreal_0(k2_seq_4(k2_integra1(B,C,E)),A) & r2_tarski(E,k4_finseq_1(C)) ) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e8_82_1_3__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_002(A) & v1_glib_003(A) & v7_glib_003(A) & v9_glib_000(B,A) & v3_glib_002(B) & v1_glib_003(B) & v4_glib_003(B,A) & v1_glib_004(B,A) & m1_glib_000(B,A) ) => ( ? [C] : ( v7_ordinal1(C) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k25_glib_000(A,B)) ) => ? [C] : ( v7_ordinal1(C) & ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),C)),k25_glib_000(A,B)) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_tarski(k3_domain_1(k1_zfmisc_1(k6_glib_000(A)),k1_zfmisc_1(k7_glib_000(A)),k15_glib_004(A,k16_glib_004(A),D)),k25_glib_000(A,B)) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e9_25__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ? [D] : ( v7_ordinal1(D) & ~ r2_hidden(k1_funct_1(k8_funct_7(A,D),B),C) ) => ? [D] : ( v7_ordinal1(D) & ~ r2_hidden(k1_funct_1(k8_funct_7(A,D),B),C) & ! [E] : ( v7_ordinal1(E) => ( ~ r2_hidden(k1_funct_1(k8_funct_7(A,E),B),C) => r1_xxreal_0(D,E) ) ) ) ) ) )).
fof(s5_nat_1__e9_44__matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_pencil_1(A) & v4_matroid0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ? [D] : ( v7_ordinal1(D) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(C,E) & r1_tarski(E,B) & v3_pre_topc(E,A) ) => r1_xxreal_0(k4_card_1(E),D) ) ) ) => ? [D] : ( v7_ordinal1(D) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(C,F) & r1_tarski(F,B) & v3_pre_topc(F,A) ) => r1_xxreal_0(k4_card_1(F),D) ) ) & ! [G] : ( v7_ordinal1(G) => ( ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(C,H) & r1_tarski(H,B) & v3_pre_topc(H,A) ) => r1_xxreal_0(k4_card_1(H),G) ) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_nat_1__e9_6__fintopo5,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_fintopo4(A)),u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_fintopo4(A)),u1_struct_0(k2_fintopo4(A))))) ) => ( ? [C] : ( v7_ordinal1(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(C,A) & D = k1_funct_1(B,C) & r1_xxreal_0(C,D) ) ) ) => ? [C] : ( v7_ordinal1(C) & ~ r1_xxreal_0(C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(C,A) & E = k1_funct_1(B,C) & r1_xxreal_0(C,E) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(F,A) & G = k1_funct_1(B,F) & r1_xxreal_0(F,G) ) ) ) => r1_xxreal_0(C,F) ) ) ) ) ) )).
fof(s5_nat_1__e9_6__prgcor_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ? [C] : ( v7_ordinal1(C) & ~ r1_xxreal_0(k3_xcmplx_0(A,k1_newton(2,C)),B) ) => ? [C] : ( v7_ordinal1(C) & ~ r1_xxreal_0(k3_xcmplx_0(A,k1_newton(2,C)),B) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k3_xcmplx_0(A,k1_newton(2,D)),B) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(s5_nat_1__e9_78_1_2__matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & k4_card_1(E) = D & r1_tarski(E,B) & ~ v3_pre_topc(k4_subset_1(u1_struct_0(A),E,k6_domain_1(u1_struct_0(A),C)),A) ) ) => ? [D] : ( v7_ordinal1(D) & ? [F] : ( v3_pre_topc(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & k4_card_1(F) = D & r1_tarski(F,B) & ~ v3_pre_topc(k4_subset_1(u1_struct_0(A),F,k6_domain_1(u1_struct_0(A),C)),A) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( v3_pre_topc(H,A) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & k4_card_1(H) = G & r1_tarski(H,B) & ~ v3_pre_topc(k4_subset_1(u1_struct_0(A),H,k6_domain_1(u1_struct_0(A),C)),A) ) => r1_xxreal_0(D,G) ) ) ) ) ) )).
fof(s5_ordinal1__e7_2__zf_colla,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => ( ( ! [C] : ( v3_ordinal1(C) => ! [D] : ( D = k1_zf_colla(A,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) & D = a_2_3_zf_colla(A,E) & k9_xtuple_0(E) = C & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,C) => k1_funct_1(E,F) = a_3_1_zf_colla(A,E,F) ) ) ) ) ) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k1_zf_colla(A,C) ) ) ) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = a_3_0_zf_colla(A,B,C) ) ) ) ) )).
fof(s5_ordinal2__e1_27__zfrefle1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k2_ordinal1(A) & ( r2_tarski(k5_ordinal1,k2_ordinal1(A)) => k1_funct_1(B,k5_ordinal1) = k4_classes1(k3_ordinal4(A)) ) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(k1_ordinal1(C),k2_ordinal1(A)) => k1_funct_1(B,k1_ordinal1(C)) = k4_classes1(k1_ordinal1(C)) ) ) & ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(C,k2_ordinal1(A)) & v4_ordinal1(C) ) => ( C = k5_ordinal1 | k1_funct_1(B,C) = k4_classes1(C) ) ) ) ) ) )).
fof(s5_ordinal2__e5_54__ordinal4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_funct_1(B) & v1_funct_2(B,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v3_ordinal1(C) ) => ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & ( r2_tarski(k5_ordinal1,k4_ordinal1) => k1_funct_1(D,k5_ordinal1) = C ) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k4_ordinal1) => k1_funct_1(D,k1_ordinal1(E)) = k1_funct_1(B,k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k4_ordinal1) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k1_xboole_0 ) ) ) ) ) )).
fof(s5_partfun1__e1_41__prob_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & ! [E] : ( r2_tarski(E,C) => ( ( r2_tarski(B,E) => k1_funct_1(D,E) = 1 ) & ( ~ r2_tarski(B,E) => k1_funct_1(D,E) = k5_numbers ) ) ) ) ) )).
fof(s5_pboole__e13_90_1__waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) & ! [F] : ( m1_subset_1(F,B) => k1_funct_1(E,F) = k3_waybel11(A,k1_funct_1(C,F),k1_waybel_5(B,u1_struct_0(A),C,D,F)) ) ) ) )).
fof(s5_pboole__e1_116_4_4__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k1_funct_1(D,E) = a_4_3_yellow_6(A,B,C,E) ) ) ) )).
fof(s5_pboole__e1_19__gfacirc2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_funct_1(C,D) = k3_gfacirc2(D,A,B) ) ) ) )).
fof(s5_pboole__e1_24__lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(B,C) = k9_subset_1(u1_struct_0(A),k5_waybel_0(A,C),k3_lattice7(A)) ) ) ) )).
fof(s5_pboole__e1_25__fscirc_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_funct_1(C,D) = k3_fscirc_2(D,A,B) ) ) ) )).
fof(s5_pboole__e1_28_1__lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( m1_subset_1(F,A) => k1_funct_1(E,F) = k10_lattice3(k3_waybel_3(A,B,F),k4_waybel_3(A,B,C,F),k4_waybel_3(A,B,D,F)) ) ) ) )).
fof(s5_pboole__e1_29_1__lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( m1_subset_1(F,A) => k1_funct_1(E,F) = k11_lattice3(k3_waybel_3(A,B,F),k4_waybel_3(A,B,C,F),k4_waybel_3(A,B,D,F)) ) ) ) )).
fof(s5_pboole__e1_30_1__lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( m1_subset_1(F,A) => k1_funct_1(E,F) = k11_lattice3(k3_waybel_3(A,B,F),k4_waybel_3(A,B,C,F),k4_waybel_3(A,B,D,F)) ) ) ) )).
fof(s5_pboole__e1_31_1__lfuzzy_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & ! [F] : ( m1_subset_1(F,A) => k1_funct_1(E,F) = k10_lattice3(k3_waybel_3(A,B,F),k4_waybel_3(A,B,C,F),k4_waybel_3(A,B,D,F)) ) ) ) )).
fof(s5_pboole__e1_40__facirc_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_funct_1(C,D) = k5_facirc_2(D,A,B) ) ) ) )).
fof(s5_pboole__e1_40__gfacirc2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_funct_1(C,D) = k7_gfacirc2(D,A,B) ) ) ) )).
fof(s5_pboole__e1_40__yellow16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( m1_subset_1(E,A) => k1_funct_1(D,E) = k1_yellow_0(k3_waybel_3(A,B,E),k5_waybel_3(A,B,E,C)) ) ) ) )).
fof(s5_pboole__e1_41__yellow16,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( m1_subset_1(E,A) => k1_funct_1(D,E) = k2_yellow_0(k3_waybel_3(A,B,E),k5_waybel_3(A,B,E,C)) ) ) ) )).
fof(s5_pboole__e1_44__waybel26,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_waybel26(A,k3_waybel18(B,k7_funcop_1(B,k9_waybel18))))) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(k1_waybel26(A,k3_waybel18(B,k7_funcop_1(B,k9_waybel18))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k1_waybel26(A,k3_waybel18(B,k7_funcop_1(B,k9_waybel18))))) => k1_funct_1(C,D) = k9_funct_6(D) ) ) ) )).
fof(s5_pboole__e1_56_1__waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & ! [E] : ( m1_subset_1(E,A) => k1_funct_1(D,E) = k1_yellow_0(k3_waybel_3(A,B,E),k5_waybel_3(A,B,E,C)) ) ) ) )).
fof(s5_pboole__e1_58__waybel27,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k2_waybel27(B,k5_yellow_1(A,C)))) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(k2_waybel27(B,k5_yellow_1(A,C)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_waybel27(B,k5_yellow_1(A,C)))) => k1_funct_1(D,E) = k9_funct_6(E) ) ) ) )).
fof(s5_pboole__e1_60__waybel26,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u1_pre_topc(k2_borsuk_1(A,B))) & v1_funct_1(C) & v1_partfun1(C,u1_pre_topc(k2_borsuk_1(A,B))) & ! [D] : ( m1_subset_1(D,u1_pre_topc(k2_borsuk_1(A,B))) => k1_funct_1(C,D) = k6_waybel26(D,u1_struct_0(A)) ) ) ) )).
fof(s5_pboole__e1_64__waybel27,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k2_waybel27(A,k2_waybel27(B,C)))) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(k2_waybel27(A,k2_waybel27(B,C)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_waybel27(A,k2_waybel27(B,C)))) => k1_funct_1(D,E) = k2_funct_5(E) ) ) ) )).
fof(s5_pboole__e1_69__yellow16,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(C,D) = k7_funcop_1(B,D) ) ) ) )).
fof(s5_pboole__e2_30__waybel20,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k3_yellow_0(k3_waybel_3(A,B,D)) ) ) ) )).
fof(s5_pboole__e2_31__waybel20,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k4_yellow_0(k3_waybel_3(A,B,D)) ) ) ) )).
fof(s5_pboole__e2_32__waybel20,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k3_yellow_0(k3_waybel_3(A,B,D)) ) ) ) )).
fof(s5_pboole__e2_33__waybel20,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k4_yellow_0(k3_waybel_3(A,B,D)) ) ) ) )).
fof(s5_pboole__e2_34_2_1__waybel20,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k3_yellow_0(k3_waybel_3(A,B,D)) ) ) ) )).
fof(s5_pboole__e2_34__pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_funct_1(D,E) = k9_funct_6(k1_funct_1(k9_funct_6(C),E)) ) ) ) )).
fof(s5_pboole__e3_124__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_msafree4(B,u1_struct_0(A)) & m2_pboole(C,u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1)) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(D,E) = k1_funct_4(k7_funcop_1(k4_ordinal1,o_3_5_msafree4(A,B,E)),k2_funct_1(k2_msafree4(u1_struct_0(A),B,k7_funcop_1(u1_struct_0(A),k4_ordinal1),C,E))) ) ) ) )).
fof(s5_pboole__e3_66__yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(B,C) = k3_yellow18(A,C) ) ) ) )).
fof(s5_pboole__e3_69__pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u4_struct_0(k11_pua2mss1(A,B))) & v1_funct_1(C) & v1_partfun1(C,u4_struct_0(k11_pua2mss1(A,B))) & ! [D] : ( m1_subset_1(D,u4_struct_0(k11_pua2mss1(A,B))) => k1_funct_1(C,D) = k2_partfun1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k2_pua2mss1(A,k12_pua2mss1(A,B,D)),k4_card_3(k13_pua2mss1(A,B,D))) ) ) ) )).
fof(s5_pboole__e3_6_1_2__waybel27,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ! [C] : ( m1_subset_1(C,A) => k1_funct_1(B,C) = k2_funct_5(C) ) ) ) )).
fof(s5_pboole__e3_7_1_2__waybel27,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ! [C] : ( m1_subset_1(C,A) => k1_funct_1(B,C) = k1_funct_5(C) ) ) ) )).
fof(s5_pboole__e5_116_4_4__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) & v4_waybel_3(C) & m3_yellow_6(C,u1_struct_0(B),A) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_funct_1(D,E) = u1_struct_0(k6_yellow_6(u1_struct_0(B),A,C,E)) ) ) ) )).
fof(s5_pboole__e5_15_1__waybel29,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k3_yellow_0(k2_yellow16(A,B,D)) ) ) ) )).
fof(s5_pboole__e5_58_1__waybel_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k3_yellow_0(k3_waybel_3(A,B,D)) ) ) ) )).
fof(s5_pboole__e5_69__pua2mss1,axiom,( ! [A] : ! [B] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,k4_finseq_1(u1_unialg_1(A))) & v1_funct_1(C) & v1_partfun1(C,k4_finseq_1(u1_unialg_1(A))) & ! [D] : ( m1_subset_1(D,k4_finseq_1(u1_unialg_1(A))) => k1_funct_1(C,D) = a_3_10_pua2mss1(A,B,D) ) ) ) )).
fof(s5_pboole__e6_21__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k1_funct_1(D,E) = k3_gfacirc2(E,B,C) ) ) ) )).
fof(s5_pboole__e6_33__fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k4_ordinal1) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k1_funct_1(D,E) = k3_fscirc_2(E,B,C) ) ) ) )).
fof(s5_pboole__e6_42__gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k1_funct_1(D,E) = k7_gfacirc2(E,B,C) ) ) ) )).
fof(s5_pboole__e6_44__waybel26,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k4_yellow_1(B,k7_funcop_1(B,k1_waybel26(A,k9_waybel18))))) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(k4_yellow_1(B,k7_funcop_1(B,k1_waybel26(A,k9_waybel18))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k4_yellow_1(B,k7_funcop_1(B,k1_waybel26(A,k9_waybel18))))) => k1_funct_1(C,D) = k9_funct_6(D) ) ) ) )).
fof(s5_pboole__e6_48__facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) & v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k1_funct_1(D,E) = k5_facirc_2(E,B,C) ) ) ) )).
fof(s5_pboole__e6_58__waybel27,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k5_yellow_1(A,k2_waybel27(B,C)))) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(k5_yellow_1(A,k2_waybel27(B,C)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k5_yellow_1(A,k2_waybel27(B,C)))) => k1_funct_1(D,E) = k9_funct_6(E) ) ) ) )).
fof(s5_pboole__e7_64__waybel27,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k2_waybel27(k3_yellow_3(A,B),C))) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(k2_waybel27(k3_yellow_3(A,B),C))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_waybel27(k3_yellow_3(A,B),C))) => k1_funct_1(D,E) = k1_funct_5(E) ) ) ) )).
fof(s5_pre_circ__e1_16__chord,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k10_xtuple_0(A))) ) => ? [C] : ( m1_subset_1(C,B) & ! [D] : ( m1_subset_1(D,B) => r1_xxreal_0(k4_finseq_4(A,C),k4_finseq_4(A,D)) ) ) ) )).
fof(s5_pre_circ__e1_70__graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v2_struct_0(B) & l1_graph_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(u4_struct_0(B)))) ) => ? [D] : ( m1_subset_1(D,C) & ! [E] : ( m1_subset_1(E,C) => r1_xxreal_0(k10_graph_5(B,D,A),k10_graph_5(B,E,A)) ) ) ) )).
fof(s5_pre_circ__e1_71__graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v2_struct_0(B) & l1_graph_1(B) & ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k3_finseq_2(u4_struct_0(B)))) ) => ? [D] : ( m1_subset_1(D,C) & ! [E] : ( m1_subset_1(E,C) => r1_xxreal_0(k10_graph_5(B,D,A),k10_graph_5(B,E,A)) ) ) ) )).
fof(s5_pre_circ__e8_43_1_1__glib_004,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & m1_subset_1(B,k6_glib_000(A)) & v7_ordinal1(C) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ? [E] : ( m1_subset_1(E,D) & ! [F] : ( m1_subset_1(F,D) => r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k1_funct_1(k10_glib_000(A),E)),k1_funct_1(k5_glib_003(A),E)),k2_xcmplx_0(k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k1_funct_1(k10_glib_000(A),F)),k1_funct_1(k5_glib_003(A),F))) ) ) ) )).
fof(s5_pre_circ__e8_70_1_1__glib_004,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) & ~ v1_xboole_0(B) & v1_finset_1(B) ) => ? [C] : ( m1_subset_1(C,B) & ! [D] : ( m1_subset_1(D,B) => r1_xxreal_0(k1_funct_1(k5_glib_003(A),C),k1_funct_1(k5_glib_003(A),D)) ) ) ) )).
fof(s5_pre_circ__e8_89__chord,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [C] : ( m1_subset_1(C,A) & ! [D] : ( m1_subset_1(D,A) => r1_xxreal_0(k10_funct_2(A,k1_numbers,B,C),k10_funct_2(A,k1_numbers,B,D)) ) ) ) )).
fof(s5_qc_lang3__e2_15_3__substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k9_substut1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k8_substut1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v3_qc_lang1(B,A) ) => k9_substut1(A,B) = k9_substut1(A,k18_qc_lang1(A,B)) ) ) )).
fof(s5_qc_lang3__e2_44_3__qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) & m1_subset_1(C,k9_qc_lang1(A)) ) => ( ( ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( E = k4_qc_lang3(A,B,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_qc_lang1(A),k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(B)))) & E = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,D) & ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(B)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(B)) => ( ( G = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_subset_1(B) ) & ( v2_qc_lang1(G,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_qc_lang3(A,k17_qc_lang1(A,G),B) ) & ( ( v3_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k18_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) & ( ( v4_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k19_qc_lang1(A,G)) & I = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k20_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k4_subset_1(B,H,I) ) & ( ( v5_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k22_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) ) ) ) ) ) ) ) ) & v3_qc_lang1(C,A) ) => k4_qc_lang3(A,B,C) = k4_qc_lang3(A,B,k18_qc_lang1(A,C)) ) ) )).
fof(s5_qc_lang3__e3_14__qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k24_qc_lang1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k23_qc_lang1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k7_subset_1(k3_qc_lang1(A),G,k1_tarski(k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v3_qc_lang1(B,A) ) => k24_qc_lang1(A,B) = k24_qc_lang1(A,k18_qc_lang1(A,B)) ) ) )).
fof(s5_relset_1__e4_61_1_1_2__rcomp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(a_3_0_rcomp_3(A,B,C),a_3_0_rcomp_3(A,B,C)))) & ! [E] : ! [F] : ( r2_hidden(k4_tarski(E,F),D) <=> ( r2_tarski(E,a_3_0_rcomp_3(A,B,C)) & r2_tarski(F,a_3_0_rcomp_3(A,B,C)) & r1_tarski(E,F) ) ) ) ) )).
fof(s5_scpinvar__e11_37__scpinvar,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) & ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) & v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) & v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) & v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) & v1_int_1(G) & v1_int_1(H) & v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( ? [K] : ( v1_relat_1(K) & v4_relat_1(K,u1_struct_0(k1_scmpds_2)) & v1_funct_1(K) & v5_funct_1(K,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(K,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(K,k5_card_1(2),k1_scmpds_2,k5_numbers) & K = J & ~ r1_xxreal_0(k1_funct_1(K,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(K,F),k5_numbers) & k3_int_2(k1_funct_1(K,E),k1_funct_1(K,F)) = k3_int_2(k1_funct_1(B,E),k1_funct_1(B,F)) & k1_funct_1(K,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(K,E),k1_funct_1(K,F)) ) => ( k1_recdef_1(I,J) = k5_numbers <=> k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)) = k5_numbers ) ) ) & ? [L] : ( v1_relat_1(L) & v4_relat_1(L,u1_struct_0(k1_scmpds_2)) & v1_funct_1(L) & v5_funct_1(L,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(L,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(L,k5_card_1(2),k1_scmpds_2,k5_numbers) & L = B & ~ r1_xxreal_0(k1_funct_1(L,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(L,F),k5_numbers) & k3_int_2(k1_funct_1(L,E),k1_funct_1(L,F)) = k3_int_2(k1_funct_1(B,E),k1_funct_1(B,F)) & k1_funct_1(L,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(L,E),k1_funct_1(L,F)) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,k4_ordinal1) & v5_relat_1(M,u1_compos_1(k1_scmpds_2)) & v1_funct_1(M) & v1_partfun1(M,k4_ordinal1) ) => ( ( ? [N] : ( v1_relat_1(N) & v4_relat_1(N,u1_struct_0(k1_scmpds_2)) & v1_funct_1(N) & v5_funct_1(N,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(N,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(N,k5_card_1(2),k1_scmpds_2,k5_numbers) & N = J & ~ r1_xxreal_0(k1_funct_1(N,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(N,F),k5_numbers) & k3_int_2(k1_funct_1(N,E),k1_funct_1(N,F)) = k3_int_2(k1_funct_1(B,E),k1_funct_1(B,F)) & k1_funct_1(N,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(N,E),k1_funct_1(N,F)) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)) = k5_numbers | ( k1_funct_1(k6_scmpds_4(C,J,M),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,M) & r2_scmpds_6(C,J,M) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)))) & ? [O] : ( v1_relat_1(O) & v4_relat_1(O,u1_struct_0(k1_scmpds_2)) & v1_funct_1(O) & v5_funct_1(O,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(O,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(O,k5_card_1(2),k1_scmpds_2,k5_numbers) & O = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,M)) & ~ r1_xxreal_0(k1_funct_1(O,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(O,F),k5_numbers) & k3_int_2(k1_funct_1(O,E),k1_funct_1(O,F)) = k3_int_2(k1_funct_1(B,E),k1_funct_1(B,F)) & k1_funct_1(O,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(O,E),k1_funct_1(O,F)) ) ) ) ) ) ) ) => ( k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scpinvar(D,G,C),B,A))) = k5_numbers & ? [P] : ( v1_relat_1(P) & v4_relat_1(P,u1_struct_0(k1_scmpds_2)) & v1_funct_1(P) & v5_funct_1(P,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(P,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(P,k5_card_1(2),k1_scmpds_2,k5_numbers) & P = k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scpinvar(D,G,C),B,A)) & ~ r1_xxreal_0(k1_funct_1(P,E),k5_numbers) & ~ r1_xxreal_0(k1_funct_1(P,F),k5_numbers) & k3_int_2(k1_funct_1(P,E),k1_funct_1(P,F)) = k3_int_2(k1_funct_1(B,E),k1_funct_1(B,F)) & k1_funct_1(P,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(P,E),k1_funct_1(P,F)) ) ) ) ) )).
fof(s5_stirl2_1__e13_50__numeral2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(k2_afinsq_1(k5_afinsq_2(B,k3_fib_num2)))) & ! [D] : ( m1_subset_1(D,k4_numbers) => D != k6_xcmplx_0(k1_recdef_1(k5_afinsq_2(B,k3_fib_num2),C),k1_recdef_1(k5_afinsq_2(k2_numeral1(A,10),k3_fib_num2),C)) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_numbers) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(k2_afinsq_1(k5_afinsq_2(B,k3_fib_num2))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(k2_afinsq_1(k5_afinsq_2(B,k3_fib_num2)))) => k1_funct_1(C,D) = k6_xcmplx_0(k1_recdef_1(k5_afinsq_2(B,k3_fib_num2),D),k1_recdef_1(k5_afinsq_2(k2_numeral1(A,10),k3_fib_num2),D)) ) ) ) ) ) )).
fof(s5_stirl2_1__e23_50__numeral2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(k2_afinsq_1(k5_afinsq_2(B,k4_fib_num2)))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => D != k1_nat_1(k1_recdef_1(k5_afinsq_2(B,k4_fib_num2),C),k1_recdef_1(k5_afinsq_2(k2_numeral1(A,10),k4_fib_num2),C)) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(k2_afinsq_1(k5_afinsq_2(B,k4_fib_num2))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(k2_afinsq_1(k5_afinsq_2(B,k4_fib_num2)))) => k1_funct_1(C,D) = k1_nat_1(k1_recdef_1(k5_afinsq_2(B,k4_fib_num2),D),k1_recdef_1(k5_afinsq_2(k2_numeral1(A,10),k4_fib_num2),D)) ) ) ) ) ) )).
fof(s5_stirl2_1__e2_45__catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k5_card_1(k1_nat_1(A,1))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(k7_domain_1(k4_ordinal1,k5_numbers,1)))) => ~ ! [D] : ( v7_ordinal1(D) => ( D = B => C = k2_catalan2(k3_xcmplx_0(2,A),D) ) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,k1_zfmisc_1(k3_catalan2(k7_domain_1(k4_ordinal1,k5_numbers,1)))) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & k2_afinsq_1(B) = k5_card_1(k1_nat_1(A,1)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k5_card_1(k1_nat_1(A,1))) => ! [E] : ( v7_ordinal1(E) => ( E = C => k1_funct_1(B,C) = k2_catalan2(k3_xcmplx_0(2,A),E) ) ) ) ) ) ) ) )).
fof(s5_stirl2_1__e2_52__catalan2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(k1_nat_1(B,1))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ! [E] : ( v7_ordinal1(E) => ( C = E => D = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),1),E),A)) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(k1_nat_1(B,1)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(k1_nat_1(B,1))) => ! [F] : ( v7_ordinal1(F) => ( D = F => k1_funct_1(C,D) = k4_card_1(k2_catalan2(k2_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,A),1),F),A)) ) ) ) ) ) ) ) )).
fof(s5_stirl2_1__e2_56_1__stirl2_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(k1_afinsq_1(B))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => D != k1_card_1(k1_funct_1(B,C)) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(k1_afinsq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(k1_afinsq_1(B))) => k1_funct_1(C,D) = k1_card_1(k1_funct_1(B,D)) ) ) ) ) ) )).
fof(s5_stirl2_1__e2_61__card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) & v1_finset_1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(k4_card_1(B))) & ! [D] : ( m1_subset_1(D,k4_numbers) => ~ ! [E] : ( v7_ordinal1(E) => ( E = C => D = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),E),k3_card_fin(k1_nat_1(E,1),A)) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_numbers) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(k4_card_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(k4_card_1(B))) => ! [F] : ( v7_ordinal1(F) => ( F = D => k1_funct_1(C,D) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),F),k3_card_fin(k1_nat_1(F,1),A)) ) ) ) ) ) ) ) )).
fof(s5_stirl2_1__e2_62__catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k1_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k5_card_1(k1_afinsq_1(A))) & ! [C] : ( m1_subset_1(C,k1_numbers) => C != k9_complex1(k1_funct_1(A,B)) ) ) ) => ? [B] : ( v1_relat_1(B) & v5_relat_1(B,k1_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) & k2_afinsq_1(B) = k5_card_1(k1_afinsq_1(A)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k5_card_1(k1_afinsq_1(A))) => k1_funct_1(B,C) = k9_complex1(k1_funct_1(A,C)) ) ) ) ) ) )).
fof(s5_stirl2_1__e3_47__catalan2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(B)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_catalan2(A,B))) => ~ ! [E] : ( v7_ordinal1(E) => ( E = C => D = a_3_0_catalan2(A,B,E) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k1_zfmisc_1(k2_catalan2(A,B))) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(B)) => ! [F] : ( v7_ordinal1(F) => ( F = D => k1_funct_1(C,D) = a_3_0_catalan2(A,B,F) ) ) ) ) ) ) ) )).
fof(s5_stirl2_1__e3_60_1__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k5_card_1(k1_nat_1(k1_nat_1(C,1),1))) & ! [E] : ( m1_subset_1(E,k1_numbers) => ~ ! [F] : ( v7_ordinal1(F) => ( F = D => E = k4_real_1(k8_nat_1(k1_numbers,A,F),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(B),k7_nat_d(k1_nat_1(C,1),F))) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k1_numbers) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) & k2_afinsq_1(D) = k5_card_1(k1_nat_1(k1_nat_1(C,1),1)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k5_card_1(k1_nat_1(k1_nat_1(C,1),1))) => ! [G] : ( v7_ordinal1(G) => ( G = E => k1_funct_1(D,E) = k4_real_1(k8_nat_1(k1_numbers,A,G),k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(B),k7_nat_d(k1_nat_1(C,1),G))) ) ) ) ) ) ) ) )).
fof(s5_stirl2_1__e3_61__catalan2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(C) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k5_card_1(k1_nat_1(C,1))) & ! [E] : ( m1_subset_1(E,k1_numbers) => ~ ! [F] : ( v7_ordinal1(F) => ( F = D => E = k3_xcmplx_0(k8_nat_1(k1_numbers,A,F),k4_series_1(k7_nat_1(k1_numbers,B,k1_nat_1(k7_nat_d(C,F),1)))) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k1_numbers) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) & k2_afinsq_1(D) = k5_card_1(k1_nat_1(C,1)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k5_card_1(k1_nat_1(C,1))) => ! [G] : ( v7_ordinal1(G) => ( G = E => k1_funct_1(D,E) = k3_xcmplx_0(k8_nat_1(k1_numbers,A,G),k4_series_1(k7_nat_1(k1_numbers,B,k1_nat_1(k7_nat_d(C,G),1)))) ) ) ) ) ) ) ) )).
fof(s5_stirl2_1__e4_32__catalan2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(k1_afinsq_1(A))) & ! [D] : ( m1_subset_1(D,k2_tarski(k5_numbers,B)) => ~ ! [E] : ( v7_ordinal1(E) => ( E = C => D = k6_xcmplx_0(B,k1_recdef_1(A,E)) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k2_tarski(k5_numbers,B)) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(k1_afinsq_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(k1_afinsq_1(A))) => ! [F] : ( v7_ordinal1(F) => ( F = D => k1_funct_1(C,D) = k6_xcmplx_0(B,k1_recdef_1(A,F)) ) ) ) ) ) ) ) )).
fof(s5_stirl2_1__e5_10_1_1_2__numeral1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(B)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => D != k1_recdef_1(A,k1_nat_1(C,1)) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(B)) => k1_funct_1(C,D) = k1_recdef_1(A,k1_nat_1(D,1)) ) ) ) ) ) )).
fof(s5_stirl2_1__e5_12_1_1_2__numeral1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(B)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => D != k1_recdef_1(A,k1_nat_1(C,1)) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(B)) => k1_funct_1(C,D) = k1_recdef_1(A,k1_nat_1(D,1)) ) ) ) ) ) )).
fof(s5_stirl2_1__e5_20_1_1__numeral2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_int_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k5_card_1(C)) & ! [E] : ( m1_subset_1(E,k4_numbers) => E != k5_int_1(k1_funct_1(B,D),A) ) ) ) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k4_numbers) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) & k2_afinsq_1(D) = k5_card_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k5_card_1(C)) => k1_funct_1(D,E) = k5_int_1(k1_funct_1(B,E),A) ) ) ) ) ) )).
fof(s5_stirl2_1__e5_3_1_1__numeral1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k5_card_1(C)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => E != k4_nat_d(k1_recdef_1(B,D),A) ) ) ) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k4_ordinal1) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) & k2_afinsq_1(D) = k5_card_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k5_card_1(C)) => k1_funct_1(D,E) = k4_nat_d(k1_recdef_1(B,E),A) ) ) ) ) ) )).
fof(s5_stirl2_1__e5_9_1_1_2__numeral1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(B)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => D != k1_recdef_1(A,k1_nat_1(C,1)) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(B)) => k1_funct_1(C,D) = k1_recdef_1(A,k1_nat_1(D,1)) ) ) ) ) ) )).
fof(s5_stirl2_1__e7_11__numeral1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & m1_subset_1(B,k4_ordinal1) ) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k5_card_1(B)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => D != k4_nat_d(k1_recdef_1(A,C),3) ) ) ) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k2_afinsq_1(C) = k5_card_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k5_card_1(B)) => k1_funct_1(C,D) = k4_nat_d(k1_recdef_1(A,D),3) ) ) ) ) ) )).
fof(s5_subset_1__e2_1_1__scmfsa9a,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => k3_tarski(a_1_0_scmfsa9a(A)) = k1_sf_mastr(A) ) )).
fof(s5_subset_1__e2_2_1__scmfsa9a,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => k3_tarski(a_1_1_scmfsa9a(A)) = k4_sf_mastr(A) ) )).
fof(s5_subset_1__e2_80_1__sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => k3_tarski(a_1_12_sf_mastr(A)) = k1_sf_mastr(A) ) )).
fof(s5_subset_1__e2_81_1__sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => k3_tarski(a_1_13_sf_mastr(A)) = k4_sf_mastr(A) ) )).
fof(s5_trees_2__e21_58_1__compl_sp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r2_hidden(B,k9_setfam_1(u1_struct_0(A))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = B => ( v6_tbsp_1(C,A) & ~ v1_finset_1(C) & v3_compl_sp(C,A) ) ) ) & ! [D] : ~ ( r2_hidden(D,k9_setfam_1(u1_struct_0(A))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = D => ( v6_tbsp_1(E,A) & ~ v1_finset_1(E) & v3_compl_sp(E,A) ) ) ) & ! [F] : ~ ( r2_hidden(F,k9_setfam_1(u1_struct_0(A))) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = G & F = H ) => ( r1_tarski(H,G) & r1_xxreal_0(k2_tbsp_1(A,H),k7_xcmplx_0(k2_tbsp_1(A,G),2)) ) ) ) ) & ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ( I = F => ( v6_tbsp_1(I,A) & ~ v1_finset_1(I) & v3_compl_sp(I,A) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & r1_tarski(k10_xtuple_0(D),k9_setfam_1(u1_struct_0(A))) & k1_funct_1(D,k5_numbers) = B & ! [F] : ( v7_ordinal1(F) => ( ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) => ( ( k1_funct_1(D,F) = J & k1_funct_1(D,k1_nat_1(F,1)) = K ) => ( r1_tarski(K,J) & r1_xxreal_0(k2_tbsp_1(A,K),k7_xcmplx_0(k2_tbsp_1(A,J),2)) ) ) ) ) & ! [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) => ( L = k1_funct_1(D,F) => ( v6_tbsp_1(L,A) & ~ v1_finset_1(L) & v3_compl_sp(L,A) ) ) ) ) ) ) ) ) )).
fof(s5_trees_2__e8_45__trees_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & m1_trees_1(B,A) ) => ( ( r2_hidden(B,A) & ? [C] : ( m1_trees_1(C,A) & C = B & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v2_trees_2(E,A) & m1_trees_2(E,A) & r2_tarski(C,E) & ? [F] : ( m2_finseq_1(F,k4_ordinal1) & r2_tarski(F,E) & r1_xxreal_0(k2_xcmplx_0(k3_finseq_1(C),D),k3_finseq_1(F)) ) ) ) ) & ! [G] : ~ ( r2_hidden(G,A) & ? [H] : ( m1_trees_1(H,A) & H = G & ! [I] : ( v7_ordinal1(I) => ? [J] : ( v2_trees_2(J,A) & m1_trees_2(J,A) & r2_tarski(H,J) & ? [K] : ( m2_finseq_1(K,k4_ordinal1) & r2_tarski(K,J) & r1_xxreal_0(k2_xcmplx_0(k3_finseq_1(H),I),k3_finseq_1(K)) ) ) ) ) & ! [L] : ~ ( r2_hidden(L,A) & ? [M] : ( m2_finseq_1(M,k4_ordinal1) & ? [N] : ( v7_ordinal1(N) & G = M & r2_tarski(k7_finseq_1(M,k9_finseq_1(N)),A) & L = k7_finseq_1(M,k9_finseq_1(N)) ) ) & ? [O] : ( m1_trees_1(O,A) & O = L & ! [P] : ( v7_ordinal1(P) => ? [Q] : ( v2_trees_2(Q,A) & m1_trees_2(Q,A) & r2_tarski(O,Q) & ? [R] : ( m2_finseq_1(R,k4_ordinal1) & r2_tarski(R,Q) & r1_xxreal_0(k2_xcmplx_0(k3_finseq_1(O),P),k3_finseq_1(R)) ) ) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = k4_ordinal1 & r1_tarski(k10_xtuple_0(G),A) & k1_funct_1(G,k5_numbers) = B & ! [L] : ( v7_ordinal1(L) => ( ? [S] : ( m2_finseq_1(S,k4_ordinal1) & ? [T] : ( v7_ordinal1(T) & k1_funct_1(G,L) = S & r2_tarski(k7_finseq_1(S,k9_finseq_1(T)),A) & k1_funct_1(G,k1_nat_1(L,1)) = k7_finseq_1(S,k9_finseq_1(T)) ) ) & ? [U] : ( m1_trees_1(U,A) & U = k1_funct_1(G,L) & ! [V] : ( v7_ordinal1(V) => ? [W] : ( v2_trees_2(W,A) & m1_trees_2(W,A) & r2_tarski(U,W) & ? [X] : ( m2_finseq_1(X,k4_ordinal1) & r2_tarski(X,W) & r1_xxreal_0(k2_xcmplx_0(k3_finseq_1(U),V),k3_finseq_1(X)) ) ) ) ) ) ) ) ) ) )).
fof(s5_waybel24__e11_52_1__waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,u1_struct_0(k5_yellow_1(u1_struct_0(A),B))) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(D)) => k7_relat_1(D,a_2_4_waybel24(A,C)) = a_4_7_waybel24(A,B,C,D) ) ) )).
fof(s5_waybel24__e6_52_2__waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,u1_struct_0(k5_yellow_1(u1_struct_0(A),B))) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(D)) => k7_relat_1(D,a_2_4_waybel24(A,C)) = a_4_7_waybel24(A,B,C,D) ) ) )).
fof(s5_waybel24__e6_53_1__waybel24,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) & ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,u1_struct_0(k5_yellow_1(u1_struct_0(A),B))) ) => ( r1_tarski(u1_struct_0(A),k9_xtuple_0(D)) => k7_relat_1(D,a_2_4_waybel24(A,C)) = a_4_7_waybel24(A,B,C,D) ) ) )).
fof(s5_yellow_3__e2_54_5__waybel_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(C,u1_struct_0(A)) ) => k1_yellow_0(A,a_3_4_waybel_6(A,B,C)) = k1_yellow_0(A,k3_tarski(a_3_5_waybel_6(A,B,C))) ) )).
fof(s5_yellow_3__e3_2__waybel22,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => k1_yellow_0(A,a_2_4_waybel22(A,B)) = k1_yellow_0(A,k3_tarski(a_2_3_waybel22(A,B))) ) )).
fof(s6_absred_0__e5_113__absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( ( r7_absred_0(A,B,C) & k3_absred_0(A,B) = k3_absred_0(A,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r5_absred_0(A,D,E) & k3_absred_0(A,B) = k3_absred_0(A,D) ) => k3_absred_0(A,B) = k3_absred_0(A,E) ) ) ) ) => k3_absred_0(A,B) = k3_absred_0(A,C) ) ) )).
fof(s6_aofa_000__e24_132__aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) & ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(C,B) & v1_aofa_i00(D,A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) & m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m1_aofa_i00(G,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) & m2_funct_2(H,B,k4_numbers,k9_funct_2(B,k4_numbers)) & m2_funct_2(I,B,k4_numbers,k9_funct_2(B,k4_numbers)) ) => ( ( r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),E)) & r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k16_aofa_000(A,k78_aofa_i00(A,B,C,D,F,k5_numbers),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)))),F)) & r4_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G)),k78_aofa_i00(A,B,C,D,F,k5_numbers)),k9_funct_2(B,k4_numbers),k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,H,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D) & ! [J] : ( m1_subset_1(J,k9_funct_2(B,k4_numbers)) => ( ( r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),E)) & r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k13_aofa_000(A,k13_aofa_000(A,k13_aofa_000(A,k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,E),k83_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,G,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,E,F)),k48_aofa_i00(A,B,k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers),D,F,G))),F)) & r2_tarski(k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,F,k5_numbers)),k1_aofa_i00(k9_funct_2(B,k4_numbers),C,k5_numbers)) ) => ( r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E)) & r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) ) ) ) & ! [J] : ( m1_subset_1(J,k9_funct_2(B,k4_numbers)) => ( ( r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,F,k5_numbers)),E)) & r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),D,J,k78_aofa_i00(A,B,C,D,F,k5_numbers)),F)) ) => ( r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,J,E)) & r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,J,F)) ) ) ) ) => ( r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,H,E)) & r1_int_1(k21_aofa_i00(B,k4_numbers,I,E),k21_aofa_i00(B,k4_numbers,H,F)) ) ) ) )).
fof(s6_cqc_lang__e1_15_2__valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_valuat_1(C,A,B) & v7_ordinal1(D) & v5_relat_1(E,k3_qc_lang1(A)) & v3_card_1(E,D) & m2_finseq_1(E,k2_qc_lang1(A)) & m2_subset_1(F,k6_qc_lang1(A),k8_qc_lang1(A,D)) ) => ( ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [H] : ( m1_subset_1(H,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ( H = k8_valuat_1(A,B,C,G) <=> ? [I] : ( v1_funct_1(I) & v1_funct_2(I,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)))) & H = k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,G) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,k5_cqc_lang(A)) = k10_subset_1(k8_funcop_1(k5_margrel1,k2_valuat_1(A,B),k7_margrel1),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & ! [J] : ( m2_subset_1(J,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [K] : ( m2_subset_1(K,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [L] : ( m2_subset_1(L,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [M] : ( v7_ordinal1(M) => ! [N] : ( ( v5_relat_1(N,k3_qc_lang1(A)) & v3_card_1(N,M) & m2_finseq_1(N,k2_qc_lang1(A)) ) => ! [O] : ( m2_subset_1(O,k6_qc_lang1(A),k8_qc_lang1(A,M)) => ( k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,k4_cqc_lang(M,A,O,N)) = k5_valuat_1(A,B,M,N,k7_valuat_1(A,B,M,C,O)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,k6_cqc_lang(A,J)) = k10_subset_1(k14_margrel1(k2_valuat_1(A,B),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,J)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,k7_cqc_lang(A,J,K)) = k10_subset_1(k15_margrel1(k2_valuat_1(A,B),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,J),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,K)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,k11_cqc_lang(A,L,J)) = k10_subset_1(k3_valuat_1(A,B,L,k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),I,J)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) ) ) ) ) ) ) ) ) ) ) => k8_valuat_1(A,B,C,k4_cqc_lang(D,A,F,E)) = k5_valuat_1(A,B,D,E,k7_valuat_1(A,B,D,C,F)) ) ) )).
fof(s6_cqc_lang__e2_30__cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & v7_ordinal1(B) & v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) & m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,B)) ) => ( ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( F = k7_cqc_sim1(A,E) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k3_cqc_lang(A),k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k4_ordinal1))) & F = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,E) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,k5_cqc_lang(A)) = k5_numbers & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [J] : ( m2_subset_1(J,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( ( v5_relat_1(L,k3_qc_lang1(A)) & v3_card_1(L,K) & m2_finseq_1(L,k2_qc_lang1(A)) ) => ! [M] : ( m2_subset_1(M,k6_qc_lang1(A),k8_qc_lang1(A,K)) => ( k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,k4_cqc_lang(K,A,M,L)) = k5_numbers & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,k6_cqc_lang(A,H)) = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,H) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,k7_cqc_lang(A,H,I)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,H),k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,I)) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,k11_cqc_lang(A,J,H)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,G,H),1) ) ) ) ) ) ) ) ) ) ) ) => k7_cqc_sim1(A,k4_cqc_lang(B,A,D,C)) = k5_numbers ) ) )).
fof(s6_cqc_sim1__e5_60__cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ( r2_qc_lang2(A,B,B) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k3_qc_lang1(A))) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k6_cqc_lang(A,C),D,E,F),k15_cqc_sim1(A,B)) & r2_qc_lang2(A,k6_cqc_lang(A,C),B) ) => r2_qc_lang2(A,C,B) ) ) ) ) ) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k7_cqc_lang(A,C,D),E,F,G),k15_cqc_sim1(A,B)) & r2_qc_lang2(A,k7_cqc_lang(A,C,D),B) ) => ( r2_qc_lang2(A,C,B) & r2_qc_lang2(A,D,B) ) ) ) ) ) ) ) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k11_cqc_lang(A,D,C),E,F,G),k15_cqc_sim1(A,B)) & r2_qc_lang2(A,k11_cqc_lang(A,D,C),B) ) => r2_qc_lang2(A,C,B) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k3_qc_lang1(A))) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),C,D,E,F),k15_cqc_sim1(A,B)) => r2_qc_lang2(A,C,B) ) ) ) ) ) ) ) )).
fof(s6_cqc_sim1__e5_63__cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ( r1_tarski(k24_qc_lang1(A,B),k2_xboole_0(k24_qc_lang1(A,B),k1_setwiseo(k3_qc_lang1(A)))) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k3_qc_lang1(A))) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k6_cqc_lang(A,C),D,E,F),k15_cqc_sim1(A,B)) & r1_tarski(k24_qc_lang1(A,k6_cqc_lang(A,C)),k2_xboole_0(k24_qc_lang1(A,B),E)) ) => r1_tarski(k24_qc_lang1(A,C),k2_xboole_0(k24_qc_lang1(A,B),E)) ) ) ) ) ) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k7_cqc_lang(A,C,D),E,F,G),k15_cqc_sim1(A,B)) & r1_tarski(k24_qc_lang1(A,k7_cqc_lang(A,C,D)),k2_xboole_0(k24_qc_lang1(A,B),F)) ) => ( r1_tarski(k24_qc_lang1(A,C),k2_xboole_0(k24_qc_lang1(A,B),F)) & r1_tarski(k24_qc_lang1(A,D),k2_xboole_0(k24_qc_lang1(A,B),F)) ) ) ) ) ) ) ) & ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k11_cqc_lang(A,D,C),E,F,G),k15_cqc_sim1(A,B)) & r1_tarski(k24_qc_lang1(A,k11_cqc_lang(A,D,C)),k2_xboole_0(k24_qc_lang1(A,B),F)) ) => r1_tarski(k24_qc_lang1(A,C),k2_xboole_0(k24_qc_lang1(A,B),k2_xboole_0(F,k6_domain_1(k3_qc_lang1(A),D)))) ) ) ) ) ) ) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k3_qc_lang1(A))) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),C,D,E,F),k15_cqc_sim1(A,B)) => r1_tarski(k24_qc_lang1(A,C),k2_xboole_0(k24_qc_lang1(A,B),E)) ) ) ) ) ) ) ) )).
fof(s6_cqc_sim1__e5_64__cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,C),k7_relat_1(k11_cqc_sim1(k3_qc_lang1(A)),k1_setwiseo(k3_qc_lang1(A)))) => r2_qc_lang1(A,C,k13_cqc_sim1(A,B)) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k6_cqc_lang(A,D),E,F,G),k15_cqc_sim1(A,B)) & ! [H] : ( m1_subset_1(H,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,H),k7_relat_1(G,F)) => r2_qc_lang1(A,H,E) ) ) ) => ! [I] : ( m1_subset_1(I,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,I),k7_relat_1(G,F)) => r2_qc_lang1(A,I,E) ) ) ) ) ) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_subset_1(F,k1_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k3_qc_lang1(A))) => ! [J] : ( m2_funct_2(J,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k7_cqc_lang(A,D,E),F,G,J),k15_cqc_sim1(A,B)) & ! [K] : ( m1_subset_1(K,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,K),k7_relat_1(J,G)) => r2_qc_lang1(A,K,F) ) ) ) => ( ! [L] : ( m1_subset_1(L,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,L),k7_relat_1(J,G)) => r2_qc_lang1(A,L,F) ) ) & ! [M] : ( m1_subset_1(M,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,M),k7_relat_1(J,G)) => r2_qc_lang1(A,M,k30_qc_lang1(A,F,k7_cqc_sim1(A,D))) ) ) ) ) ) ) ) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k1_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k3_qc_lang1(A))) => ! [J] : ( m2_funct_2(J,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k11_cqc_lang(A,E,D),F,G,J),k15_cqc_sim1(A,B)) & ! [N] : ( m1_subset_1(N,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,N),k7_relat_1(J,G)) => r2_qc_lang1(A,N,F) ) ) ) => ! [O] : ( m1_subset_1(O,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,O),k7_relat_1(k1_funct_4(J,k17_funcop_1(E,k2_qc_lang3(A,F))),k2_xboole_0(G,k6_domain_1(k3_qc_lang1(A),E)))) => r2_qc_lang1(A,O,k28_qc_lang1(A,F)) ) ) ) ) ) ) ) ) ) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),D,E,F,G),k15_cqc_sim1(A,B)) => ! [P] : ( m1_subset_1(P,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,P),k7_relat_1(G,F)) => r2_qc_lang1(A,P,E) ) ) ) ) ) ) ) ) ) )).
fof(s6_cqc_sim1__e5_66__cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,C),k7_relat_1(k11_cqc_sim1(k3_qc_lang1(A)),k24_qc_lang1(A,B))) => r2_qc_lang1(A,C,k13_cqc_sim1(A,B)) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k6_cqc_lang(A,D),E,F,G),k15_cqc_sim1(A,B)) & ! [H] : ( m1_subset_1(H,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,H),k7_relat_1(G,k24_qc_lang1(A,B))) => r2_qc_lang1(A,H,E) ) ) ) => ! [I] : ( m1_subset_1(I,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,I),k7_relat_1(G,k24_qc_lang1(A,B))) => r2_qc_lang1(A,I,E) ) ) ) ) ) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_subset_1(F,k1_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k3_qc_lang1(A))) => ! [J] : ( m2_funct_2(J,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k7_cqc_lang(A,D,E),F,G,J),k15_cqc_sim1(A,B)) & ! [K] : ( m1_subset_1(K,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,K),k7_relat_1(J,k24_qc_lang1(A,B))) => r2_qc_lang1(A,K,F) ) ) ) => ( ! [L] : ( m1_subset_1(L,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,L),k7_relat_1(J,k24_qc_lang1(A,B))) => r2_qc_lang1(A,L,F) ) ) & ! [M] : ( m1_subset_1(M,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,M),k7_relat_1(J,k24_qc_lang1(A,B))) => r2_qc_lang1(A,M,k30_qc_lang1(A,F,k7_cqc_sim1(A,D))) ) ) ) ) ) ) ) ) ) & ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k1_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k5_finsub_1(k3_qc_lang1(A))) => ! [J] : ( m2_funct_2(J,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),k11_cqc_lang(A,E,D),F,G,J),k15_cqc_sim1(A,B)) & ! [N] : ( m1_subset_1(N,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,N),k7_relat_1(J,k24_qc_lang1(A,B))) => r2_qc_lang1(A,N,F) ) ) ) => ! [O] : ( m1_subset_1(O,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,O),k7_relat_1(k1_funct_4(J,k17_funcop_1(E,k2_qc_lang3(A,F))),k24_qc_lang1(A,B))) => r2_qc_lang1(A,O,k28_qc_lang1(A,F)) ) ) ) ) ) ) ) ) ) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k1_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k3_qc_lang1(A))) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),k3_qc_lang1(A),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A))) => ( r2_tarski(k5_domain_1(k3_cqc_lang(A),k1_qc_lang1(A),k5_finsub_1(k3_qc_lang1(A)),k9_funct_2(k3_qc_lang1(A),k3_qc_lang1(A)),D,E,F,G),k15_cqc_sim1(A,B)) => ! [P] : ( m1_subset_1(P,k1_qc_lang1(A)) => ( r2_tarski(k2_qc_lang3(A,P),k7_relat_1(G,k24_qc_lang1(A,B))) => r2_qc_lang1(A,P,E) ) ) ) ) ) ) ) ) ) )).
fof(s6_domain_1__e3_34__domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ~ v1_xboole_0(D) => ( ! [E] : ( m1_subset_1(E,D) => ( ( ( r2_tarski(E,B) & ~ r2_tarski(E,C) ) | ( ~ r2_tarski(E,B) & r2_tarski(E,C) ) ) <=> ( ~ r2_tarski(E,B) <=> r2_tarski(E,C) ) ) ) => a_4_3_domain_1(A,B,C,D) = a_4_4_domain_1(A,B,C,D) ) ) ) )).
fof(s6_domain_1__e3_35__domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ~ v1_xboole_0(D) => ( ! [E] : ( m1_subset_1(E,D) => ( ( ~ r2_tarski(E,B) <=> r2_tarski(E,C) ) <=> ( r2_tarski(E,B) <=> ~ r2_tarski(E,C) ) ) ) => a_4_4_domain_1(A,B,C,D) = a_4_5_domain_1(A,B,C,D) ) ) ) )).
fof(s6_domain_1__e3_36__domain_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ~ v1_xboole_0(D) => ( ! [E] : ( m1_subset_1(E,D) => ( ( ~ r2_tarski(E,B) <=> r2_tarski(E,C) ) <=> ~ ( r2_tarski(E,B) <=> r2_tarski(E,C) ) ) ) => a_4_4_domain_1(A,B,C,D) = a_4_6_domain_1(A,B,C,D) ) ) ) )).
fof(s6_filter_1__e4_36_1__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,B) => ! [I] : ( m1_subset_1(I,B) => ! [J] : ( m1_subset_1(J,B) => k1_binop_1(k6_filter_1(A,B,C,D),k1_domain_1(A,B,E,H),k1_binop_1(k6_filter_1(A,B,C,D),k1_domain_1(A,B,F,I),k1_domain_1(A,B,G,J))) = k1_binop_1(k6_filter_1(A,B,C,D),k1_binop_1(k6_filter_1(A,B,C,D),k1_domain_1(A,B,E,H),k1_domain_1(A,B,F,I)),k1_domain_1(A,B,G,J)) ) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(A,B)) => ! [F] : ( m1_subset_1(F,k2_zfmisc_1(A,B)) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(A,B)) => k1_binop_1(k6_filter_1(A,B,C,D),E,k1_binop_1(k6_filter_1(A,B,C,D),F,G)) = k1_binop_1(k6_filter_1(A,B,C,D),k1_binop_1(k6_filter_1(A,B,C,D),E,F),G) ) ) ) ) ) )).
fof(s6_filter_1__e4_39_1__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,B) => ! [K] : ( m1_subset_1(K,B) => ! [L] : ( m1_subset_1(L,B) => k1_binop_1(k6_filter_1(A,B,C,E),k1_domain_1(A,B,G,J),k1_binop_1(k6_filter_1(A,B,D,F),k1_domain_1(A,B,H,K),k1_domain_1(A,B,I,L))) = k1_binop_1(k6_filter_1(A,B,D,F),k1_binop_1(k6_filter_1(A,B,C,E),k1_domain_1(A,B,G,J),k1_domain_1(A,B,H,K)),k1_binop_1(k6_filter_1(A,B,C,E),k1_domain_1(A,B,G,J),k1_domain_1(A,B,I,L))) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(A,B)) => ! [H] : ( m1_subset_1(H,k2_zfmisc_1(A,B)) => ! [I] : ( m1_subset_1(I,k2_zfmisc_1(A,B)) => k1_binop_1(k6_filter_1(A,B,C,E),G,k1_binop_1(k6_filter_1(A,B,D,F),H,I)) = k1_binop_1(k6_filter_1(A,B,D,F),k1_binop_1(k6_filter_1(A,B,C,E),G,H),k1_binop_1(k6_filter_1(A,B,C,E),G,I)) ) ) ) ) ) )).
fof(s6_filter_1__e4_40_1__filter_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,B) => ! [K] : ( m1_subset_1(K,B) => ! [L] : ( m1_subset_1(L,B) => k1_binop_1(k6_filter_1(A,B,C,E),k1_binop_1(k6_filter_1(A,B,D,F),k1_domain_1(A,B,H,K),k1_domain_1(A,B,I,L)),k1_domain_1(A,B,G,J)) = k1_binop_1(k6_filter_1(A,B,D,F),k1_binop_1(k6_filter_1(A,B,C,E),k1_domain_1(A,B,H,K),k1_domain_1(A,B,G,J)),k1_binop_1(k6_filter_1(A,B,C,E),k1_domain_1(A,B,I,L),k1_domain_1(A,B,G,J))) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k2_zfmisc_1(A,B)) => ! [H] : ( m1_subset_1(H,k2_zfmisc_1(A,B)) => ! [I] : ( m1_subset_1(I,k2_zfmisc_1(A,B)) => k1_binop_1(k6_filter_1(A,B,C,E),k1_binop_1(k6_filter_1(A,B,D,F),H,I),G) = k1_binop_1(k6_filter_1(A,B,D,F),k1_binop_1(k6_filter_1(A,B,C,E),H,G),k1_binop_1(k6_filter_1(A,B,C,E),I,G)) ) ) ) ) ) )).
fof(s6_finseq_1__e1_5__graph_2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => v1_finset_1(a_2_6_graph_2(A,B)) ) )).
fof(s6_finseq_1__e23_52__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => v1_finset_1(a_3_13_dickson(A,B,C)) ) )).
fof(s6_finseq_1__e29_52_4__dickson,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) & v7_ordinal1(D) ) => v1_finset_1(a_4_16_dickson(A,B,C,D)) ) )).
fof(s6_finseq_1__e5_61__dblseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) & v7_ordinal1(C) & v1_funct_1(D) & v1_funct_2(D,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(D,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => v1_finset_1(a_4_0_dblseq_2(A,B,C,D)) ) )).
fof(s6_fomodel0__e4_342__fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => A = a_1_17_fomodel0(A) ) )).
fof(s6_fraenkel__e1_38_2__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v25_waybel_0(B) & l1_orders_2(B) & ~ v1_xboole_0(C) & v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k6_waybel_9(A,B,D,k3_yellow_9(A,C)))) => k2_yellow_0(B,a_5_0_waybel21(A,B,C,D,E)) = k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) ) => a_4_0_waybel21(A,B,C,D) = a_4_1_waybel21(A,B,C,D) ) ) )).
fof(s6_fraenkel__e1_91_6_3_1_1_2__lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),A))) & v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(E,u1_struct_0(g1_orders_2(A,C))) ) => ( ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,D) => k1_funct_1(B,k2_tarski(F,E)) = E ) ) => a_5_0_lattice3(A,B,C,D,E) = a_4_1_lattice3(A,C,D,E) ) ) )).
fof(s6_fraenkel__e1_91_8_2_1_1_2__lattice3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),A))) & ~ v2_struct_0(C) & v3_lattices(C) & v10_lattices(C) & l3_lattices(C) & m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(E,u1_struct_0(k3_lattice3(C))) ) => ( ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,D) => k1_funct_1(B,k2_tarski(F,E)) = E ) ) => a_5_1_lattice3(A,B,C,D,E) = a_4_2_lattice3(A,C,D,E) ) ) )).
fof(s6_fraenkel__e2_37__waybel21,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v2_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_9(A,B))) => k2_yellow_0(A,B) = k2_yellow_0(A,a_3_2_waybel21(A,B,C)) ) => a_2_6_waybel21(A,B) = a_2_7_waybel21(A,B) ) ) )).
fof(s6_fraenkel__e2_55__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => ( r2_tarski(F,C) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_7_lfuzzy_1(A,B,D,E,F)) = k7_lfuzzy_0(k2_zfmisc_1(A,A),k3_fuzzy_4(A,A,A,B,k5_lfuzzy_0(k2_zfmisc_1(A,A),F)),k1_domain_1(A,A,D,E)) ) ) => a_5_6_lfuzzy_1(A,B,C,D,E) = a_5_8_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s6_fraenkel__e2_59_1_8__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => ( r2_tarski(F,C) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_15_lfuzzy_1(A,B,D,E,F)) = k7_lfuzzy_0(k2_zfmisc_1(A,A),k3_fuzzy_4(A,A,A,k5_lfuzzy_0(k2_zfmisc_1(A,A),F),B),k1_domain_1(A,A,D,E)) ) ) => a_5_14_lfuzzy_1(A,B,C,D,E) = a_5_16_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s6_fraenkel__e3_54__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => ( r2_tarski(F,C) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_5_lfuzzy_1(A,B,D,E,F)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_7_lfuzzy_1(A,B,D,E,F)) ) ) => a_5_4_lfuzzy_1(A,B,C,D,E) = a_5_6_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s6_fraenkel__e3_59_1_5__lfuzzy_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A))))) & m1_subset_1(D,A) & m1_subset_1(E,A) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => ( r2_tarski(F,C) => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_13_lfuzzy_1(A,B,D,E,F)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_5_15_lfuzzy_1(A,B,D,E,F)) ) ) => a_5_12_lfuzzy_1(A,B,C,D,E) = a_5_14_lfuzzy_1(A,B,C,D,E) ) ) )).
fof(s6_fraenkel__e4_58_1_1_1_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_waybel21(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( r1_orders_2(D,E,F) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_waybel_0(A,D,F)) = k1_funct_1(C,k1_funct_1(u1_waybel_0(A,D),F)) ) ) => a_5_4_waybel21(A,B,C,D,E) = a_5_5_waybel21(A,B,C,D,E) ) ) )).
fof(s6_fraenkel__e5_58_1_1_1_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_waybel21(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m1_subset_1(E,u1_struct_0(D)) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( r1_orders_2(D,E,F) => k1_funct_1(C,k1_funct_1(u1_waybel_0(A,D),F)) = k1_funct_1(k1_partfun1(u1_struct_0(D),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_waybel_0(A,D),C),F) ) ) => a_5_5_waybel21(A,B,C,D,E) = a_5_6_waybel21(A,B,C,D,E) ) ) )).
fof(s6_fraenkel__e6_21__heyting2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(B) & m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) ) => ( ! [D] : ( m1_subset_1(D,k4_partfun1(C,C)) => ( k9_xtuple_0(D) = C => k3_tarski(a_4_5_heyting2(A,B,C,D)) = k1_xboole_0 ) ) => a_3_7_heyting2(A,B,C) = a_3_6_heyting2(A,B,C) ) ) )).
fof(s6_fraenkel__e8_42__roughs_4,axiom,( ! [A] : ! [B] : ( ( v18_roughs_4(A) & v28_roughs_4(A) & l4_roughs_4(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ( m1_subset_1(C,k9_setfam_1(u1_struct_0(A))) => ( r2_tarski(C,B) => k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u1_struct_0(A)),u1_roughs_4(A),C) = C ) ) => a_2_4_roughs_4(A,B) = a_2_5_roughs_4(A,B) ) ) )).
fof(s6_fraenkel__e9_58_1_1_1_1__waybel21,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v2_waybel19(B) & l1_waybel_9(B) & m1_waybel21(C,A,B) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m1_subset_1(E,u1_struct_0(k6_waybel_9(A,B,C,D))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(A,B,C,D))) => ( r1_orders_2(k6_waybel_9(A,B,C,D),E,F) => k1_funct_1(k1_partfun1(u1_struct_0(D),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_waybel_0(A,D),C),F) = k2_waybel_0(B,k6_waybel_9(A,B,C,D),F) ) ) => a_5_9_waybel21(A,B,C,D,E) = a_5_3_waybel21(A,B,C,D,E) ) ) )).
fof(s6_funct_1__e10_11_2_2_2_1_1_1_1_2__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( ! [E] : ~ ( r2_hidden(E,k2_zfmisc_1(C,D)) & ! [F] : ~ ( r2_hidden(F,a_2_3_srings_1(A,B)) & r2_hidden(E,k2_zfmisc_1(C,D)) & ? [G] : ? [H] : ? [I] : ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(B)) & E = k4_tarski(G,H) & r2_tarski(G,C) & r2_tarski(H,D) & F = I & m1_eqrel_1(F,k3_xboole_0(G,H)) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k2_zfmisc_1(C,D) & r1_tarski(k10_xtuple_0(E),a_2_3_srings_1(A,B)) & ! [F] : ( r2_hidden(F,k2_zfmisc_1(C,D)) => ( r2_hidden(F,k2_zfmisc_1(C,D)) & ? [J] : ? [K] : ? [L] : ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(B)) & F = k4_tarski(J,K) & r2_tarski(J,C) & r2_tarski(K,D) & k1_funct_1(E,F) = L & m1_eqrel_1(k1_funct_1(E,F),k3_xboole_0(J,K)) ) ) ) ) ) ) )).
fof(s6_funct_1__e10_31__topgen_3,axiom,( ! [A] : ~ ( r2_hidden(A,k1_numbers) & ! [B] : ~ ( r2_hidden(B,a_0_0_topgen_3) & ? [C] : ( m1_subset_1(C,k1_numbers) & ? [D] : ( m1_subset_1(D,k1_numbers) & A = C & B = k3_rcomp_1(C,D) & ~ r1_xxreal_0(D,C) & v1_rat_1(D) ) ) ) ) => ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & k9_xtuple_0(A) = k1_numbers & r1_tarski(k10_xtuple_0(A),a_0_0_topgen_3) & ! [B] : ( r2_hidden(B,k1_numbers) => ? [E] : ( m1_subset_1(E,k1_numbers) & ? [F] : ( m1_subset_1(F,k1_numbers) & B = E & k1_funct_1(A,B) = k3_rcomp_1(E,F) & ~ r1_xxreal_0(F,E) & v1_rat_1(F) ) ) ) ) )).
fof(s6_funct_1__e10_44_3__waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(u1_struct_0(A))))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) ) => ( ! [F] : ~ ( r2_hidden(F,E) & ! [G] : ~ ( r2_hidden(G,C) & ? [H] : ( H = G & F = k6_subset_1(B,H) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = E & r1_tarski(k10_xtuple_0(F),C) & ! [G] : ( r2_hidden(G,E) => ? [I] : ( I = k1_funct_1(F,G) & G = k6_subset_1(B,I) ) ) ) ) ) )).
fof(s6_funct_1__e10_47_1_3_1_1__frechet,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) & m1_subset_1(B,u1_struct_0(k3_pcomps_1(k7_metric_1))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_frechet(k7_metric_1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_frechet(k7_metric_1,B)))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(k3_topmetr)) & r2_hidden(E,k9_subset_1(u1_struct_0(k3_topmetr),k1_funct_1(C,D),A)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & r1_tarski(k10_xtuple_0(D),u1_struct_0(k3_topmetr)) & ! [E] : ( r2_hidden(E,k4_ordinal1) => r2_hidden(k1_funct_1(D,E),k9_subset_1(u1_struct_0(k3_topmetr),k1_funct_1(C,E),A)) ) ) ) ) )).
fof(s6_funct_1__e11_121__abcmiz_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & ~ v4_abcmiz_0(A) & v9_abcmiz_0(A) & l3_abcmiz_0(A) & m1_rewrite1(B,k11_abcmiz_0(A)) & m1_subset_1(C,k4_ordinal1) ) => ( ! [D] : ~ ( r2_hidden(D,k2_finseq_1(C)) & ! [E] : ~ ( r2_hidden(E,u1_abcmiz_0(A)) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & ? [G] : ( m1_subset_1(G,u1_abcmiz_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & E = G & D = F & k5_abcmiz_0(A,H,G) = k1_funct_1(B,F) & H = k1_funct_1(B,k1_nat_1(F,1)) & r4_abcmiz_0(A,H,G) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k2_finseq_1(C) & r1_tarski(k10_xtuple_0(D),u1_abcmiz_0(A)) & ! [E] : ( r2_hidden(E,k2_finseq_1(C)) => ? [I] : ( m1_subset_1(I,k4_ordinal1) & ? [J] : ( m1_subset_1(J,u1_abcmiz_0(A)) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & k1_funct_1(D,E) = J & E = I & k5_abcmiz_0(A,K,J) = k1_funct_1(B,I) & K = k1_funct_1(B,k1_nat_1(I,1)) & r4_abcmiz_0(A,K,J) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e12_44_1_1__waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) & m1_subset_1(E,u1_struct_0(A)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( r2_hidden(G,C) & r2_hidden(F,B) & r2_hidden(G,C) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & H = k1_funct_1(k1_funct_1(k6_waybel_5(B,C,u1_struct_0(A),D),F),G) & r3_orders_2(A,E,H) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = B & r1_tarski(k10_xtuple_0(F),C) & ! [G] : ( r2_hidden(G,B) => ( r2_hidden(G,B) & r2_hidden(k1_funct_1(F,G),C) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & I = k1_funct_1(k1_funct_1(k6_waybel_5(B,C,u1_struct_0(A),D),G),k1_funct_1(F,G)) & r3_orders_2(A,E,I) ) ) ) ) ) ) )).
fof(s6_funct_1__e14_33_1__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,a_2_4_srings_1(A,B)) & ? [G] : ( G = E & r2_hidden(E,C) & m1_eqrel_1(F,k6_subset_1(G,k3_card_3(D))) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = C & r1_tarski(k10_xtuple_0(E),a_2_4_srings_1(A,B)) & ! [F] : ( r2_hidden(F,C) => ? [H] : ( H = F & r2_hidden(F,C) & m1_eqrel_1(k1_funct_1(E,F),k6_subset_1(H,k3_card_3(D))) ) ) ) ) ) )).
fof(s6_funct_1__e14_71__pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) & m4_pua2mss1(C,A) ) => ( ! [D] : ~ ( r2_hidden(D,k10_pua2mss1(A,C)) & ! [E] : ~ ( r2_hidden(E,B) & ? [F] : ? [G] : ( F = D & G = E & r1_tarski(F,G) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k10_pua2mss1(A,C) & r1_tarski(k10_xtuple_0(D),B) & ! [E] : ( r2_hidden(E,k10_pua2mss1(A,C)) => ? [H] : ? [I] : ( H = E & I = k1_funct_1(D,E) & r1_tarski(H,I) ) ) ) ) ) )).
fof(s6_funct_1__e16_35_1__waybel19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ? [F] : ( F = D & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( G = E & r1_orders_2(B,G,H) ) => r2_tarski(k2_waybel_0(A,B,H),F) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & r1_tarski(k10_xtuple_0(D),u1_struct_0(B)) & ! [E] : ( r2_hidden(E,C) => ? [I] : ( I = E & ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( J = k1_funct_1(D,E) & r1_orders_2(B,J,K) ) => r2_tarski(k2_waybel_0(A,B,K),I) ) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e16_42__waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(u1_struct_0(A)))) & v2_waybel_0(B,k2_yellow_1(u1_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(u1_struct_0(A))))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ( r2_hidden(F,B) & ? [G] : ? [H] : ( G = E & H = F & r1_xboole_0(G,H) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & r1_tarski(k10_xtuple_0(E),B) & ! [F] : ( r2_hidden(F,D) => ? [I] : ? [J] : ( I = F & J = k1_funct_1(E,F) & r1_xboole_0(I,J) ) ) ) ) ) )).
fof(s6_funct_1__e16_55_1__waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) & v1_funct_1(F) & v1_funct_2(F,B,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ! [G] : ~ ( r2_hidden(G,B) & ! [H] : ~ ( r2_hidden(H,k3_tarski(k10_xtuple_0(C))) & r2_hidden(G,B) & r2_hidden(H,k1_funct_1(C,G)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( I = k1_funct_1(k1_funct_1(D,G),H) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( J = k1_funct_1(F,G) => r3_orders_2(A,J,I) ) ) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( J = k1_funct_1(E,G) => r3_orders_2(A,J,I) ) ) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = B & r1_tarski(k10_xtuple_0(G),k3_tarski(k10_xtuple_0(C))) & ! [H] : ( r2_hidden(H,B) => ( r2_hidden(H,B) & r2_hidden(k1_funct_1(G,H),k1_funct_1(C,H)) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( K = k1_funct_1(k1_funct_1(D,H),k1_funct_1(G,H)) => ( ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( L = k1_funct_1(F,H) => r3_orders_2(A,L,K) ) ) & ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( L = k1_funct_1(E,H) => r3_orders_2(A,L,K) ) ) ) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e21_10__frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & r2_hidden(E,k3_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & r1_tarski(k10_xtuple_0(D),u1_struct_0(A)) & ! [E] : ( r2_hidden(E,k4_ordinal1) => r2_hidden(k1_funct_1(D,E),k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))) ) ) ) ) )).
fof(s6_funct_1__e22_7_1_3__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v10_waybel_0(B,A) & l1_waybel_0(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ? [F] : ( F = D & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( G = E & r1_orders_2(B,G,H) ) => r2_tarski(k2_waybel_0(A,B,H),F) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & r1_tarski(k10_xtuple_0(D),u1_struct_0(B)) & ! [E] : ( r2_hidden(E,C) => ? [I] : ( I = E & ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( J = k1_funct_1(D,E) & r1_orders_2(B,J,K) ) => r2_tarski(k2_waybel_0(A,B,K),I) ) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e23_71__pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & m3_pua2mss1(B,A) & ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) & m2_pua2mss1(D,u4_struct_0(C)) & v4_msualg_1(E,C) & l3_msualg_1(E,C) ) => ( ! [F] : ~ ( r2_hidden(F,u4_struct_0(C)) & ! [G] : ~ ( r2_hidden(G,u4_struct_0(k11_pua2mss1(A,B))) & ? [H] : ( m2_finseq_1(H,B) & ? [I] : ( m1_subset_1(I,u4_struct_0(C)) & G = k4_tarski(k5_pua2mss1(u4_struct_0(C),D,F),H) & F = I & r1_tarski(k3_msualg_1(C,I,E),k4_card_3(H)) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = u4_struct_0(C) & r1_tarski(k10_xtuple_0(F),u4_struct_0(k11_pua2mss1(A,B))) & ! [G] : ( r2_hidden(G,u4_struct_0(C)) => ? [J] : ( m2_finseq_1(J,B) & ? [K] : ( m1_subset_1(K,u4_struct_0(C)) & k1_funct_1(F,G) = k4_tarski(k5_pua2mss1(u4_struct_0(C),D,G),J) & G = K & r1_tarski(k3_msualg_1(C,K,E),k4_card_3(J)) ) ) ) ) ) ) )).
fof(s6_funct_1__e2_127__finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_finseq_1(C,k8_eqrel_1(A,B)) ) => ( ! [D] : ~ ( r2_hidden(D,k1_relset_1(k4_ordinal1,C)) & ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ( m1_subset_1(F,A) => ( E = F => k6_eqrel_1(A,A,B,F) = k1_funct_1(C,D) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k1_relset_1(k4_ordinal1,C) & r1_tarski(k10_xtuple_0(D),A) & ! [E] : ( r2_hidden(E,k1_relset_1(k4_ordinal1,C)) => ! [G] : ( m1_subset_1(G,A) => ( k1_funct_1(D,E) = G => k6_eqrel_1(A,A,B,G) = k1_funct_1(C,E) ) ) ) ) ) ) )).
fof(s6_funct_1__e2_18_2_2__srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,A) & v3_srings_1(C,A) & ~ v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_srings_1(D,B) & v3_srings_1(D,B) & ~ v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) ) => ( ! [G] : ~ ( r2_hidden(G,a_6_0_srings_2(A,B,C,D,E,F)) & ! [H] : ~ ( r2_hidden(H,k8_mcart_1(C,D,E,F)) & ? [I] : ? [J] : ( I = k1_xtuple_0(H) & J = k2_xtuple_0(H) & G = k2_zfmisc_1(I,J) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = a_6_0_srings_2(A,B,C,D,E,F) & r1_tarski(k10_xtuple_0(G),k8_mcart_1(C,D,E,F)) & ! [H] : ( r2_hidden(H,a_6_0_srings_2(A,B,C,D,E,F)) => ? [K] : ? [L] : ( K = k1_xtuple_0(k1_funct_1(G,H)) & L = k2_xtuple_0(k1_funct_1(G,H)) & H = k2_zfmisc_1(K,L) ) ) ) ) ) )).
fof(s6_funct_1__e2_18_3_1_2__srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & ~ v1_setfam_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( ! [E] : ~ ( r2_hidden(E,a_4_9_srings_2(A,B,C,D)) & ! [F] : ~ ( r2_hidden(F,D) & ? [G] : ( G = F & E = k2_zfmisc_1(G,C) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_9_srings_2(A,B,C,D) & r1_tarski(k10_xtuple_0(E),D) & ! [F] : ( r2_hidden(F,a_4_9_srings_2(A,B,C,D)) => ? [H] : ( H = k1_funct_1(E,F) & F = k2_zfmisc_1(H,C) ) ) ) ) ) )).
fof(s6_funct_1__e2_18_3_2_2__srings_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_srings_1(C,A) & v3_srings_1(C,A) & ~ v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_srings_1(D,B) & v3_srings_1(D,B) & ~ v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(C)) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) ) => ( ! [G] : ~ ( r2_hidden(G,a_6_0_srings_2(A,B,C,D,E,F)) & ! [H] : ~ ( r2_hidden(H,k8_mcart_1(C,D,E,F)) & ? [I] : ? [J] : ( I = k1_xtuple_0(H) & J = k2_xtuple_0(H) & G = k2_zfmisc_1(I,J) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = a_6_0_srings_2(A,B,C,D,E,F) & r1_tarski(k10_xtuple_0(G),k8_mcart_1(C,D,E,F)) & ! [H] : ( r2_hidden(H,a_6_0_srings_2(A,B,C,D,E,F)) => ? [K] : ? [L] : ( K = k1_xtuple_0(k1_funct_1(G,H)) & L = k2_xtuple_0(k1_funct_1(G,H)) & H = k2_zfmisc_1(K,L) ) ) ) ) ) )).
fof(s6_funct_1__e2_24__srings_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,A) & m1_subset_1(B,k4_ordinal1) & r2_hidden(C,A) & ? [D] : ( v1_xreal_0(D) & D = B & C = k4_rcomp_1(k2_xxreal_3(D),D) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & r1_tarski(k10_xtuple_0(B),A) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ( m1_subset_1(C,k4_ordinal1) & r2_hidden(k1_funct_1(B,C),A) & ? [E] : ( v1_xreal_0(E) & E = C & k1_funct_1(B,C) = k4_rcomp_1(k2_xxreal_3(E),E) ) ) ) ) ) ) )).
fof(s6_funct_1__e2_27_1_2__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( ! [E] : ~ ( r2_hidden(E,a_4_3_srings_1(A,B,C,D)) & ! [F] : ~ ( r2_hidden(F,a_4_4_srings_1(A,B,C,D)) & ? [G] : ( G = E & m1_subset_1(E,B) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) & ~ v1_xboole_0(k6_subset_1(G,C)) & r2_hidden(E,D) & m1_eqrel_1(F,k6_subset_1(G,C)) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_3_srings_1(A,B,C,D) & r1_tarski(k10_xtuple_0(E),a_4_4_srings_1(A,B,C,D)) & ! [F] : ( r2_hidden(F,a_4_3_srings_1(A,B,C,D)) => ? [H] : ( H = F & m1_subset_1(F,B) & v1_finset_1(k1_funct_1(E,F)) & m1_subset_1(k1_funct_1(E,F),k1_zfmisc_1(B)) & ~ v1_xboole_0(k6_subset_1(H,C)) & r2_hidden(F,D) & m1_eqrel_1(k1_funct_1(E,F),k6_subset_1(H,C)) ) ) ) ) ) )).
fof(s6_funct_1__e2_28_1_1_1_1__msafree2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,C) & D = k1_trees_4(k4_tarski(E,A)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & r1_tarski(k10_xtuple_0(D),C) & ! [E] : ( r2_hidden(E,B) => E = k1_trees_4(k4_tarski(k1_funct_1(D,E),A)) ) ) ) ) )).
fof(s6_funct_1__e2_28__topgen_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ~ ( r2_hidden(B,a_1_0_topgen_3(A)) & ! [C] : ~ ( r2_hidden(C,k9_setfam_1(k1_numbers)) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = D & C = k2_rcomp_1(E,D) & ~ r1_xxreal_0(D,E) & r1_xboole_0(k2_rcomp_1(E,D),A) ) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = a_1_0_topgen_3(A) & r1_tarski(k10_xtuple_0(B),k9_setfam_1(k1_numbers)) & ! [C] : ( r2_hidden(C,a_1_0_topgen_3(A)) => ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & C = F & k1_funct_1(B,C) = k2_rcomp_1(G,F) & ~ r1_xxreal_0(F,G) & r1_xboole_0(k2_rcomp_1(G,F),A) ) ) ) ) ) ) )).
fof(s6_funct_1__e2_37_1_3__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(B,A) & v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( ! [E] : ~ ( r2_hidden(E,a_4_5_srings_1(A,B,C,D)) & ! [F] : ~ ( r2_hidden(F,a_4_6_srings_1(A,B,C,D)) & ? [G] : ( G = E & m1_subset_1(E,B) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) & ~ v1_xboole_0(k3_xboole_0(G,C)) & r2_hidden(E,D) & m1_eqrel_1(F,k3_xboole_0(G,C)) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_5_srings_1(A,B,C,D) & r1_tarski(k10_xtuple_0(E),a_4_6_srings_1(A,B,C,D)) & ! [F] : ( r2_hidden(F,a_4_5_srings_1(A,B,C,D)) => ? [H] : ( H = F & m1_subset_1(F,B) & v1_finset_1(k1_funct_1(E,F)) & m1_subset_1(k1_funct_1(E,F),k1_zfmisc_1(B)) & ~ v1_xboole_0(k3_xboole_0(H,C)) & r2_hidden(F,D) & m1_eqrel_1(k1_funct_1(E,F),k3_xboole_0(H,C)) ) ) ) ) ) )).
fof(s6_funct_1__e2_61__card_fil,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) ) => ( ! [B] : ~ ( r2_hidden(B,k6_subset_1(k2_card_1(k6_card_fil(A)),k6_card_fil(A))) & ! [C] : ~ ( r2_hidden(C,k9_funct_2(k6_card_fil(A),k2_card_1(k6_card_fil(A)))) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & C = D & v2_funct_1(D) & k9_xtuple_0(D) = k6_card_fil(A) & k10_xtuple_0(D) = B ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k6_subset_1(k2_card_1(k6_card_fil(A)),k6_card_fil(A)) & r1_tarski(k10_xtuple_0(B),k9_funct_2(k6_card_fil(A),k2_card_1(k6_card_fil(A)))) & ! [C] : ( r2_hidden(C,k6_subset_1(k2_card_1(k6_card_fil(A)),k6_card_fil(A))) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k1_funct_1(B,C) = E & v2_funct_1(E) & k9_xtuple_0(E) = k6_card_fil(A) & k10_xtuple_0(E) = C ) ) ) ) ) )).
fof(s6_funct_1__e2_85_1_5__osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_trees_4(C,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_finseq_1(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),C,k19_osafree(A,B)))) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(A)) & r2_hidden(k4_tarski(k1_funct_1(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),C,k29_osafree(A,B)),D),E),k1_funct_1(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),C,k19_osafree(A,B)),D)) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_finseq_1(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),C,k19_osafree(A,B))) & r1_tarski(k10_xtuple_0(D),u1_struct_0(A)) & ! [E] : ( r2_hidden(E,k4_finseq_1(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),C,k19_osafree(A,B)))) => r2_hidden(k4_tarski(k1_funct_1(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),C,k29_osafree(A,B)),E),k1_funct_1(D,E)),k1_funct_1(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),C,k19_osafree(A,B)),E)) ) ) ) ) )).
fof(s6_funct_1__e30_53_1_1_1__waybel26,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(B))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & v1_relat_1(F) & v1_funct_1(F) & v3_pre_topc(G,B) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(H,k1_zfmisc_1(k10_xtuple_0(k10_xtuple_0(F)))) ) => ( ! [I] : ~ ( r2_hidden(I,H) & ! [J] : ~ ( r2_hidden(J,G) & ? [K] : ? [L] : ( L = I & k4_tarski(K,I) = k1_funct_1(F,J) & r2_tarski(E,K) & r2_hidden(J,L) & r2_hidden(J,k1_funct_1(D,E)) & r1_tarski(k2_zfmisc_1(K,L),k5_waybel26(D)) ) ) ) => ? [I] : ( v1_relat_1(I) & v1_funct_1(I) & k9_xtuple_0(I) = H & r1_tarski(k10_xtuple_0(I),G) & ! [J] : ( r2_hidden(J,H) => ? [M] : ? [N] : ( N = J & k4_tarski(M,J) = k1_funct_1(F,k1_funct_1(I,J)) & r2_tarski(E,M) & r2_hidden(k1_funct_1(I,J),N) & r2_hidden(k1_funct_1(I,J),k1_funct_1(D,E)) & r1_tarski(k2_zfmisc_1(M,N),k5_waybel26(D)) ) ) ) ) ) )).
fof(s6_funct_1__e3_11__yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & ~ v1_xboole_0(C) & v1_finset_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = F & D = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k5_waybel_9(A,B,F))) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & r1_tarski(k10_xtuple_0(D),u1_struct_0(B)) & ! [E] : ( r2_hidden(E,C) => ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & k1_funct_1(D,E) = G & E = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k5_waybel_9(A,B,G))) ) ) ) ) ) )).
fof(s6_funct_1__e3_13__pua2mss1,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,A) => ( ! [D] : ~ ( r2_hidden(D,k4_finseq_1(C)) & ! [E] : ~ ( r2_hidden(E,B) & ? [F] : ( F = E & r1_tarski(k1_funct_1(C,D),F) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_finseq_1(C) & r1_tarski(k10_xtuple_0(D),B) & ! [E] : ( r2_hidden(E,k4_finseq_1(C)) => ? [G] : ( G = k1_funct_1(D,E) & r1_tarski(k1_funct_1(C,E),G) ) ) ) ) ) )).
fof(s6_funct_1__e3_15__pua2mss1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ! [C] : ~ ( r2_hidden(C,k9_xtuple_0(B)) & ! [D] : ~ ( r2_hidden(D,A) & ? [E] : ( E = D & r2_tarski(k1_funct_1(B,C),E) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k9_xtuple_0(B) & r1_tarski(k10_xtuple_0(C),A) & ! [D] : ( r2_hidden(D,k9_xtuple_0(B)) => ? [F] : ( F = k1_funct_1(C,D) & r2_tarski(k1_funct_1(B,D),F) ) ) ) ) ) )).
fof(s6_funct_1__e3_19_1_1__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( ! [E] : ~ ( r2_hidden(E,a_4_0_srings_1(A,B,C,D)) & ! [F] : ~ ( r2_hidden(F,a_4_1_srings_1(A,B,C,D)) & ? [G] : ? [H] : ( r2_tarski(G,C) & r2_tarski(H,D) & E = k4_tarski(G,H) & ? [I] : ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(B)) & m1_eqrel_1(I,k3_xboole_0(G,H)) & F = I ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_4_0_srings_1(A,B,C,D) & r1_tarski(k10_xtuple_0(E),a_4_1_srings_1(A,B,C,D)) & ! [F] : ( r2_hidden(F,a_4_0_srings_1(A,B,C,D)) => ? [J] : ? [K] : ( r2_tarski(J,C) & r2_tarski(K,D) & F = k4_tarski(J,K) & ? [L] : ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(B)) & m1_eqrel_1(L,k3_xboole_0(J,K)) & k1_funct_1(E,F) = L ) ) ) ) ) ) )).
fof(s6_funct_1__e3_20_1__waybel28,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(C)) ) => ( ! [F] : ~ ( r2_hidden(F,u1_struct_0(B)) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(C)) & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ( ( F = H & G = I & r1_orders_2(C,I,J) ) => ( r1_orders_2(C,E,I) & r1_orders_2(B,H,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,J)) & r1_orders_2(B,H,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,I)) ) ) ) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = u1_struct_0(B) & r1_tarski(k10_xtuple_0(F),u1_struct_0(C)) & ! [G] : ( r2_hidden(G,u1_struct_0(B)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => ! [M] : ( m1_subset_1(M,u1_struct_0(C)) => ( ( G = K & k1_funct_1(F,G) = L & r1_orders_2(C,L,M) ) => ( r1_orders_2(C,E,L) & r1_orders_2(B,K,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,M)) & r1_orders_2(B,K,k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,L)) ) ) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e3_25__srings_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( ! [B] : ~ ( r2_hidden(B,k4_ordinal1) & ! [C] : ~ ( r2_hidden(C,A) & m1_subset_1(B,k4_ordinal1) & r2_hidden(C,A) & ? [D] : ( v1_xreal_0(D) & D = B & C = k4_rcomp_1(k2_supinf_1,D) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k4_ordinal1 & r1_tarski(k10_xtuple_0(B),A) & ! [C] : ( r2_hidden(C,k4_ordinal1) => ( m1_subset_1(C,k4_ordinal1) & r2_hidden(k1_funct_1(B,C),A) & ? [E] : ( v1_xreal_0(E) & E = C & k1_funct_1(B,C) = k4_rcomp_1(k2_supinf_1,E) ) ) ) ) ) ) )).
fof(s6_funct_1__e3_34_1_2__waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & m1_subset_1(E,u1_struct_0(A)) ) => ( ! [F] : ~ ( r2_hidden(F,B) & ! [G] : ~ ( r2_hidden(G,k3_tarski(k10_xtuple_0(C))) & r2_hidden(F,B) & r2_hidden(G,k1_funct_1(C,F)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & H = k1_funct_1(k1_funct_1(D,F),G) & r3_orders_2(A,E,H) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = B & r1_tarski(k10_xtuple_0(F),k3_tarski(k10_xtuple_0(C))) & ! [G] : ( r2_hidden(G,B) => ( r2_hidden(G,B) & r2_hidden(k1_funct_1(F,G),k1_funct_1(C,G)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & I = k1_funct_1(k1_funct_1(D,G),k1_funct_1(F,G)) & r3_orders_2(A,E,I) ) ) ) ) ) ) )).
fof(s6_funct_1__e3_38__card_fil,axiom,( ! [A] : ! [B] : ( ( ~ v1_finset_1(A) & m1_card_fil(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ( r2_hidden(D,B) & ? [E] : ( E = D & ~ r2_hidden(C,E) & r2_hidden(D,B) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & r1_tarski(k10_xtuple_0(C),B) & ! [D] : ( r2_hidden(D,A) => ? [F] : ( F = k1_funct_1(C,D) & ~ r2_hidden(D,F) & r2_hidden(k1_funct_1(C,D),B) ) ) ) ) ) )).
fof(s6_funct_1__e3_39_1_2__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_finseq_1(C,B) ) => ( ! [D] : ~ ( r2_hidden(D,a_3_3_srings_1(A,B,C)) & ! [E] : ~ ( r2_hidden(E,a_3_4_srings_1(A,B,C)) & ? [F] : ( F = D & r1_tarski(F,k2_relset_1(B,C)) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_eqrel_1(E,k6_subset_1(k1_setfam_1(F),k3_tarski(k7_subset_1(B,k2_relset_1(B,C),F)))) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_3_3_srings_1(A,B,C) & r1_tarski(k10_xtuple_0(D),a_3_4_srings_1(A,B,C)) & ! [E] : ( r2_hidden(E,a_3_3_srings_1(A,B,C)) => ? [G] : ( G = E & r1_tarski(G,k2_relset_1(B,C)) & v1_finset_1(k1_funct_1(D,E)) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(B)) & m1_eqrel_1(k1_funct_1(D,E),k6_subset_1(k1_setfam_1(G),k3_tarski(k7_subset_1(B,k2_relset_1(B,C),G)))) ) ) ) ) ) )).
fof(s6_funct_1__e3_40__topgen_3,axiom,( ! [A] : ( ! [B] : ~ ( r2_hidden(B,k5_finsub_1(A)) & ! [C] : ~ ( r2_hidden(C,k13_finseq_1(A)) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & C = D & B = k10_xtuple_0(D) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = k5_finsub_1(A) & r1_tarski(k10_xtuple_0(B),k13_finseq_1(A)) & ! [C] : ( r2_hidden(C,k5_finsub_1(A)) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & k1_funct_1(B,C) = E & C = k10_xtuple_0(E) ) ) ) ) )).
fof(s6_funct_1__e3_47_1_2_1_1__waybel_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,u1_struct_0(k2_yellow_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,C) & ? [F] : ( F = E & r2_hidden(D,F) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = B & r1_tarski(k10_xtuple_0(D),C) & ! [E] : ( r2_hidden(E,B) => ? [G] : ( G = k1_funct_1(D,E) & r2_hidden(E,G) ) ) ) ) ) )).
fof(s6_funct_1__e3_81__measure6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) & v1_xreal_0(B) ) => ( ! [C] : ~ ( r2_hidden(C,k4_ordinal1) & ! [D] : ~ ( r2_hidden(D,k1_numbers) & ? [E] : ( v7_ordinal1(E) & C = E & D = o_3_0_measure6(A,B,E) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k4_ordinal1 & r1_tarski(k10_xtuple_0(C),k1_numbers) & ! [D] : ( r2_hidden(D,k4_ordinal1) => ? [F] : ( v7_ordinal1(F) & D = F & k1_funct_1(C,D) = o_3_0_measure6(A,B,F) ) ) ) ) ) )).
fof(s6_funct_1__e3_86__yellow18,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_altcat_1(A,B,C)) ) => ( ! [E] : ~ ( r2_hidden(E,k3_yellow18(k4_yellow18(A),B)) & ! [F] : ~ ( r2_hidden(F,k3_yellow18(k4_yellow18(A),C)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(A,G,B)) & k1_altcat_1(A,G,B) != k1_xboole_0 & E = k4_tarski(H,k4_tarski(G,B)) & F = k4_tarski(k5_altcat_1(A,G,B,C,H,D),k4_tarski(G,C)) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = k3_yellow18(k4_yellow18(A),B) & r1_tarski(k10_xtuple_0(E),k3_yellow18(k4_yellow18(A),C)) & ! [F] : ( r2_hidden(F,k3_yellow18(k4_yellow18(A),B)) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,k1_altcat_1(A,I,B)) & k1_altcat_1(A,I,B) != k1_xboole_0 & F = k4_tarski(J,k4_tarski(I,B)) & k1_funct_1(E,F) = k4_tarski(k5_altcat_1(A,I,B,C,J,D),k4_tarski(I,C)) ) ) ) ) ) ) )).
fof(s6_funct_1__e4_25__zfrefle1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) & v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) ) => ( ! [C] : ~ ( r2_hidden(C,k8_zf_lang) & ! [D] : ~ ( r2_hidden(D,k9_funct_2(k2_ordinal1(A),k2_ordinal1(A))) & ? [E] : ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & C = E & D = F & v2_ordinal2(F) & v3_ordinal2(F) & ! [G] : ( ( v3_ordinal1(G) & m1_subset_1(G,A) ) => ( k4_ordinal4(A,F,G) = G => ( k1_xboole_0 = G | ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_zf_lang,k5_zf_refle(A,B,G)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,G)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,G),k4_zf_refle(A,B),H),E) <=> r1_zf_model(k5_zf_refle(A,B,G),H,E) ) ) ) ) ) ) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k8_zf_lang & r1_tarski(k10_xtuple_0(C),k9_funct_2(k2_ordinal1(A),k2_ordinal1(A))) & ! [D] : ( r2_hidden(D,k8_zf_lang) => ? [I] : ( v1_zf_lang(I) & m2_finseq_1(I,k4_ordinal1) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & D = I & k1_funct_1(C,D) = J & v2_ordinal2(J) & v3_ordinal2(J) & ! [K] : ( ( v3_ordinal1(K) & m1_subset_1(K,A) ) => ( k4_ordinal4(A,J,K) = K => ( k1_xboole_0 = K | ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k1_zf_lang,k5_zf_refle(A,B,K)) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,K)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,K),k4_zf_refle(A,B),L),I) <=> r1_zf_model(k5_zf_refle(A,B,K),L,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e4_26__topgen_3,axiom,( ! [A] : ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ~ ( r2_hidden(C,k3_numbers) & ? [D] : ( D = B & r2_hidden(C,D) ) ) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & k9_xtuple_0(B) = A & r1_tarski(k10_xtuple_0(B),k3_numbers) & ! [C] : ( r2_hidden(C,A) => ? [E] : ( E = C & r2_hidden(k1_funct_1(B,C),E) ) ) ) ) )).
fof(s6_funct_1__e4_27__topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & ~ v1_topgen_2(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,k9_setfam_1(B)) & ? [F] : ( F = E & k3_tarski(F) = D & r1_ordinal1(k1_card_1(F),k2_waybel23(A)) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & r1_tarski(k10_xtuple_0(D),k9_setfam_1(B)) & ! [E] : ( r2_hidden(E,C) => ? [G] : ( G = k1_funct_1(D,E) & k3_tarski(G) = E & r1_ordinal1(k1_card_1(G),k2_waybel23(A)) ) ) ) ) ) )).
fof(s6_funct_1__e4_37_1_2_1_1_1_2_2__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,B) & ? [G] : ? [H] : ( G = E & H = F & r2_hidden(D,H) & r1_tarski(H,G) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = C & r1_tarski(k10_xtuple_0(E),B) & ! [F] : ( r2_hidden(F,C) => ? [I] : ? [J] : ( I = F & J = k1_funct_1(E,F) & r2_hidden(D,J) & r1_tarski(J,I) ) ) ) ) ) )).
fof(s6_funct_1__e4_39_1__yellow19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,k2_cantor_1(u1_struct_0(A),B)) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ? [E] : ( E = C & r2_hidden(D,E) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = k2_cantor_1(u1_struct_0(A),B) & r1_tarski(k10_xtuple_0(C),u1_struct_0(A)) & ! [D] : ( r2_hidden(D,k2_cantor_1(u1_struct_0(A),B)) => ? [F] : ( F = D & r2_hidden(k1_funct_1(C,D),F) ) ) ) ) ) )).
fof(s6_funct_1__e4_39__frechet2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k4_ordinal1) & k1_funct_1(C,D) = k1_funct_1(B,E) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & r1_tarski(k10_xtuple_0(D),k4_ordinal1) & ! [E] : ( r2_hidden(E,k4_ordinal1) => k1_funct_1(C,E) = k1_funct_1(B,k1_funct_1(D,E)) ) ) ) ) )).
fof(s6_funct_1__e4_45_2__waybel_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) & ~ v1_xboole_0(D) & v2_waybel_0(D,k2_yellow_1(u1_struct_0(A))) & v13_waybel_0(D,k2_yellow_1(u1_struct_0(A))) & v3_waybel_7(D,k2_yellow_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(u1_struct_0(A))))) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,B) & ? [G] : ( G = F & r2_hidden(E,G) & ~ r2_hidden(F,D) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = C & r1_tarski(k10_xtuple_0(E),B) & ! [F] : ( r2_hidden(F,C) => ? [H] : ( H = k1_funct_1(E,F) & r2_hidden(F,H) & ~ r2_hidden(k1_funct_1(E,F),D) ) ) ) ) ) )).
fof(s6_funct_1__e4_53_1_1_1__waybel26,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(B))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( ! [F] : ~ ( r2_hidden(F,k1_funct_1(D,E)) & ! [G] : ~ ( r2_hidden(G,k8_mcart_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(A),u1_pre_topc(B))) & r2_tarski(E,k1_xfamily(G)) & r2_hidden(F,k2_xfamily(G)) & r1_tarski(k2_zfmisc_1(k1_xfamily(G),k2_xfamily(G)),k5_waybel26(D)) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k1_funct_1(D,E) & r1_tarski(k10_xtuple_0(F),k8_mcart_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(A),u1_pre_topc(B))) & ! [G] : ( r2_hidden(G,k1_funct_1(D,E)) => ( r2_tarski(E,k1_xfamily(k1_funct_1(F,G))) & r2_hidden(G,k2_xfamily(k1_funct_1(F,G))) & r1_tarski(k2_zfmisc_1(k1_xfamily(k1_funct_1(F,G)),k2_xfamily(k1_funct_1(F,G))),k5_waybel26(D)) ) ) ) ) ) )).
fof(s6_funct_1__e4_53_1__yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( E = F & r1_orders_2(B,F,G) & ! [H] : ~ ( H = D & r2_tarski(k2_waybel_0(A,B,G),H) ) ) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & r1_tarski(k10_xtuple_0(D),u1_struct_0(B)) & ! [E] : ( r2_hidden(E,C) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ~ ( k1_funct_1(D,E) = I & r1_orders_2(B,I,J) & ! [K] : ~ ( K = E & r2_tarski(k2_waybel_0(A,B,J),K) ) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e4_5__kurato_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(C,u1_struct_0(k14_euclid(A))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(k15_euclid(A))) & ? [F] : ( v7_ordinal1(F) & D = F & E = o_4_0_kurato_2(A,B,C,F) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & r1_tarski(k10_xtuple_0(D),u1_struct_0(k15_euclid(A))) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ? [G] : ( v7_ordinal1(G) & E = G & k1_funct_1(D,E) = o_4_0_kurato_2(A,B,C,G) ) ) ) ) ) )).
fof(s6_funct_1__e5_16__frechet,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k1_frechet(A,B)) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & D = F & E = k8_metric_1(A,C,k7_xcmplx_0(1,k1_nat_1(F,1))) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & r1_tarski(k10_xtuple_0(D),k1_frechet(A,B)) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k4_ordinal1) & E = G & k1_funct_1(D,E) = k8_metric_1(A,C,k7_xcmplx_0(1,k1_nat_1(G,1))) ) ) ) ) ) )).
fof(s6_funct_1__e5_21__abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & r2_hidden(C,k1_funct_1(A,D)) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & r1_tarski(k10_xtuple_0(C),k4_ordinal1) & ! [D] : ( r2_hidden(D,B) => r2_hidden(D,k1_funct_1(A,k1_funct_1(C,D))) ) ) ) ) )).
fof(s6_funct_1__e5_24__yellow17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) & m1_subset_1(C,A) & m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B))) ) => ( ! [E] : ~ ( r2_hidden(E,u1_struct_0(k4_waybel18(A,B,C))) & ! [F] : ~ ( r2_hidden(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) & ? [G] : ( G = F & r2_hidden(E,G) & r2_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),G),D) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) => ( H = F => v3_pre_topc(H,k4_waybel18(A,B,C)) ) ) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = u1_struct_0(k4_waybel18(A,B,C)) & r1_tarski(k10_xtuple_0(E),k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) & ! [F] : ( r2_hidden(F,u1_struct_0(k4_waybel18(A,B,C))) => ? [I] : ( I = k1_funct_1(E,F) & r2_hidden(F,I) & r2_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),I),D) & ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) => ( J = k1_funct_1(E,F) => v3_pre_topc(J,k4_waybel18(A,B,C)) ) ) ) ) ) ) ) )).
fof(s6_funct_1__e5_31_1__waybel_3,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),u1_orders_2(A)) & C != D ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & r1_tarski(k10_xtuple_0(C),B) & ! [D] : ( r2_hidden(D,B) => ( r2_hidden(k4_tarski(D,k1_funct_1(C,D)),u1_orders_2(A)) & D != k1_funct_1(C,D) ) ) ) ) ) )).
fof(s6_funct_1__e5_39__mmlquer2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ? [E] : ( v7_ordinal1(E) & D = E & k9_relat_1(k8_funct_7(B,E),C) = k1_xboole_0 ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = A & r1_tarski(k10_xtuple_0(C),k4_ordinal1) & ! [D] : ( r2_hidden(D,A) => ? [F] : ( v7_ordinal1(F) & k1_funct_1(C,D) = F & k9_relat_1(k8_funct_7(B,F),D) = k1_xboole_0 ) ) ) ) ) )).
fof(s6_funct_1__e5_42_1_2__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k6_nat_lat,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,B))) ) => ( ! [D] : ~ ( r2_hidden(D,k6_nat_lat) & ! [E] : ~ ( r2_hidden(E,k1_zfmisc_1(B)) & ? [F] : ( v7_ordinal1(F) & ? [G] : ( v7_ordinal1(G) & D = F & G = k3_xxreal_3(F,1) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_eqrel_1(E,k6_subset_1(k1_funct_1(C,F),k3_card_3(k5_relset_1(k6_nat_lat,B,C,k2_finseq_1(G))))) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k6_nat_lat & r1_tarski(k10_xtuple_0(D),k1_zfmisc_1(B)) & ! [E] : ( r2_hidden(E,k6_nat_lat) => ? [H] : ( v7_ordinal1(H) & ? [I] : ( v7_ordinal1(I) & E = H & I = k3_xxreal_3(H,1) & v1_finset_1(k1_funct_1(D,E)) & m1_subset_1(k1_funct_1(D,E),k1_zfmisc_1(B)) & m1_eqrel_1(k1_funct_1(D,E),k6_subset_1(k1_funct_1(C,H),k3_card_3(k5_relset_1(k6_nat_lat,B,C,k2_finseq_1(I))))) ) ) ) ) ) ) )).
fof(s6_funct_1__e6_18__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_srings_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_eqrel_1(D,B) & m1_eqrel_1(E,B) ) => ( ! [F] : ~ ( r2_hidden(F,k2_partit1(B,D,E)) & ! [G] : ~ ( r2_hidden(G,a_5_2_srings_1(A,B,C,D,E)) & r2_hidden(F,k2_partit1(B,D,E)) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(C)) & ? [H] : ( H = F & m1_eqrel_1(G,H) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k2_partit1(B,D,E) & r1_tarski(k10_xtuple_0(F),a_5_2_srings_1(A,B,C,D,E)) & ! [G] : ( r2_hidden(G,k2_partit1(B,D,E)) => ( r2_hidden(G,k2_partit1(B,D,E)) & v1_finset_1(k1_funct_1(F,G)) & m1_subset_1(k1_funct_1(F,G),k1_zfmisc_1(C)) & ? [I] : ( I = G & m1_eqrel_1(k1_funct_1(F,G),I) ) ) ) ) ) ) )).
fof(s6_funct_1__e6_19__topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [D] : ~ ( r2_hidden(D,a_3_2_topgen_2(A,B,C)) & ! [E] : ~ ( r2_hidden(E,B) & ? [F] : ? [G] : ( F = D & G = E & r1_tarski(F,G) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = a_3_2_topgen_2(A,B,C) & r1_tarski(k10_xtuple_0(D),B) & ! [E] : ( r2_hidden(E,a_3_2_topgen_2(A,B,C)) => ? [H] : ? [I] : ( H = E & I = k1_funct_1(D,E) & r1_tarski(H,I) ) ) ) ) ) )).
fof(s6_funct_1__e6_20_1_2_1_1_2__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(C,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( ! [E] : ~ ( r2_hidden(E,a_3_2_srings_1(A,B,D)) & ! [F] : ~ ( r2_hidden(F,a_4_2_srings_1(A,B,C,D)) & ? [G] : ( G = E & m1_subset_1(E,B) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_eqrel_1(F,k3_xboole_0(G,C)) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = a_3_2_srings_1(A,B,D) & r1_tarski(k10_xtuple_0(E),a_4_2_srings_1(A,B,C,D)) & ! [F] : ( r2_hidden(F,a_3_2_srings_1(A,B,D)) => ? [H] : ( H = F & m1_subset_1(F,B) & v1_finset_1(k1_funct_1(E,F)) & m1_subset_1(k1_funct_1(E,F),k1_zfmisc_1(B)) & m1_eqrel_1(k1_funct_1(E,F),k3_xboole_0(H,C)) ) ) ) ) ) )).
fof(s6_funct_1__e6_31__waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v4_waybel11(B) & m1_yellow_9(B,A) & v1_tops_2(D,B) & v1_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,D) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & E = G & F = k2_waybel_3(B,G) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = C & r1_tarski(k10_xtuple_0(E),D) & ! [F] : ( r2_hidden(F,C) => ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & F = H & k1_funct_1(E,F) = k2_waybel_3(B,H) ) ) ) ) ) )).
fof(s6_funct_1__e6_32__waybel31,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v4_waybel11(B) & m1_yellow_9(B,A) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( ! [E] : ~ ( r2_hidden(E,C) & ! [F] : ~ ( r2_hidden(F,D) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & E = G & F = k2_yellow_0(B,G) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = C & r1_tarski(k10_xtuple_0(E),D) & ! [F] : ( r2_hidden(F,C) => ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) & F = H & k1_funct_1(E,F) = k2_yellow_0(B,H) ) ) ) ) ) )).
fof(s6_funct_1__e6_84_1__classes1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(C) & v1_funct_1(C) ) => ( ! [D] : ~ ( r2_hidden(D,k9_xtuple_0(A)) & ! [E] : ~ ( r2_hidden(E,k9_xtuple_0(B)) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( F = k1_funct_1(C,k1_funct_1(A,D)) => E = k1_funct_1(F,D) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k9_xtuple_0(A) & r1_tarski(k10_xtuple_0(D),k9_xtuple_0(B)) & ! [E] : ( r2_hidden(E,k9_xtuple_0(A)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = k1_funct_1(C,k1_funct_1(A,E)) => k1_funct_1(D,E) = k1_funct_1(G,E) ) ) ) ) ) ) )).
fof(s6_funct_1__e7_38_2__yellow19,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ! [D] : ~ ( r2_hidden(D,C) & ! [E] : ~ ( r2_hidden(E,u1_struct_0(B)) & ? [F] : ( m1_yellow19(F,A,B) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & D = k2_pre_topc(A,F) & E = G & F = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k5_waybel_9(A,B,G))) ) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = C & r1_tarski(k10_xtuple_0(D),u1_struct_0(B)) & ! [E] : ( r2_hidden(E,C) => ? [H] : ( m1_yellow19(H,A,B) & ? [I] : ( m1_subset_1(I,u1_struct_0(B)) & E = k2_pre_topc(A,H) & k1_funct_1(D,E) = I & H = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k5_waybel_9(A,B,I))) ) ) ) ) ) ) )).
fof(s6_funct_1__e8_13_2__waybel19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_waybel_9(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ~ ( r2_hidden(C,B) & ! [D] : ~ ( r2_hidden(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & E = D & C = k3_subset_1(u1_struct_0(A),k6_waybel_0(A,E)) ) ) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & r1_tarski(k10_xtuple_0(C),u1_struct_0(A)) & ! [D] : ( r2_hidden(D,B) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & F = k1_funct_1(C,D) & D = k3_subset_1(u1_struct_0(A),k6_waybel_0(A,F)) ) ) ) ) ) )).
fof(s6_funct_1__e8_32_2_3__waybel33,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel33(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & v6_waybel_0(C,A) & m2_yellow_6(C,A,B) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ( ! [E] : ~ ( r2_hidden(E,D) & ! [F] : ~ ( r2_hidden(F,u1_struct_0(C)) & ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & G = F & E = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k5_waybel_9(A,C,G))) ) ) ) => ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & k9_xtuple_0(E) = D & r1_tarski(k10_xtuple_0(E),u1_struct_0(C)) & ! [F] : ( r2_hidden(F,D) => ? [H] : ( m1_subset_1(H,u1_struct_0(C)) & H = k1_funct_1(E,F) & F = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k5_waybel_9(A,C,H))) ) ) ) ) ) )).
fof(s6_funct_1__e8_34__frechet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & v1_tops_2(D,A) & v1_yellow_8(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,D))) ) => ( ! [F] : ~ ( r2_hidden(F,k4_ordinal1) & ! [G] : ~ ( r2_hidden(G,u1_struct_0(A)) & ? [H] : ( H = F & r2_hidden(G,k8_subset_1(u1_struct_0(A),B,k1_setfam_1(k7_relset_1(k4_ordinal1,D,E,k1_ordinal1(H))))) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = k4_ordinal1 & r1_tarski(k10_xtuple_0(F),u1_struct_0(A)) & ! [G] : ( r2_hidden(G,k4_ordinal1) => ? [I] : ( I = G & r2_hidden(k1_funct_1(F,G),k8_subset_1(u1_struct_0(A),B,k1_setfam_1(k7_relset_1(k4_ordinal1,D,E,k1_ordinal1(I))))) ) ) ) ) ) )).
fof(s6_funct_1__e8_46__frechet,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k3_frechet)) & v1_tops_2(B,k3_frechet) & v1_yellow_8(B,k3_frechet,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_frechet)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [D] : ~ ( r2_hidden(D,k4_ordinal1) & ! [E] : ~ ( r2_hidden(E,k6_subset_1(k1_numbers,k4_ordinal1)) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = D & r2_hidden(E,k9_subset_1(k1_numbers,k1_funct_1(C,D),k2_rcomp_1(k6_xcmplx_0(F,k7_xcmplx_0(1,4)),k2_xcmplx_0(F,k7_xcmplx_0(1,4))))) ) ) ) => ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & k9_xtuple_0(D) = k4_ordinal1 & r1_tarski(k10_xtuple_0(D),k6_subset_1(k1_numbers,k4_ordinal1)) & ! [E] : ( r2_hidden(E,k4_ordinal1) => ? [G] : ( m1_subset_1(G,k4_ordinal1) & G = E & r2_hidden(k1_funct_1(D,E),k9_subset_1(k1_numbers,k1_funct_1(C,E),k2_rcomp_1(k6_xcmplx_0(G,k7_xcmplx_0(1,4)),k2_xcmplx_0(G,k7_xcmplx_0(1,4))))) ) ) ) ) ) )).
fof(s6_funct_1__e8_64__cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_cat_3(D,B,C,A) & m1_subset_1(F,u1_struct_0(B)) ) => ( ! [G] : ~ ( r2_hidden(G,A) & ! [H] : ~ ( r2_hidden(H,u4_struct_0(B)) & ( G = E => H = k4_cat_1(B,F) ) & ( G != E => r2_hidden(H,k2_cat_1(B,F,k4_graph_1(B,k7_partfun1(u4_struct_0(B),D,G)))) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = A & r1_tarski(k10_xtuple_0(G),u4_struct_0(B)) & ! [H] : ( r2_hidden(H,A) => ( ( H = E => k1_funct_1(G,H) = k4_cat_1(B,F) ) & ( H != E => r2_hidden(k1_funct_1(G,H),k2_cat_1(B,F,k4_graph_1(B,k7_partfun1(u4_struct_0(B),D,H)))) ) ) ) ) ) ) )).
fof(s6_funct_1__e8_91__cat_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_struct_0(B)) & m2_cat_3(D,B,C,A) & m1_subset_1(F,u1_struct_0(B)) ) => ( ! [G] : ~ ( r2_hidden(G,A) & ! [H] : ~ ( r2_hidden(H,u4_struct_0(B)) & ( G = E => H = k4_cat_1(B,F) ) & ( G != E => r2_hidden(H,k2_cat_1(B,k3_graph_1(B,k7_partfun1(u4_struct_0(B),D,G)),F)) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & k9_xtuple_0(G) = A & r1_tarski(k10_xtuple_0(G),u4_struct_0(B)) & ! [H] : ( r2_hidden(H,A) => ( ( H = E => k1_funct_1(G,H) = k4_cat_1(B,F) ) & ( H != E => r2_hidden(k1_funct_1(G,H),k2_cat_1(B,k3_graph_1(B,k7_partfun1(u4_struct_0(B),D,H)),F)) ) ) ) ) ) ) )).
fof(s6_funct_1__e9_15__waybel29,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(A)) & ~ v1_xboole_0(E) & v1_waybel_0(E,k4_yellow_1(A,B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => ( ! [F] : ~ ( r2_hidden(F,D) & ! [G] : ~ ( r2_hidden(G,E) & ? [H] : ( m1_subset_1(H,A) & ? [I] : ( m1_subset_1(I,u1_struct_0(k4_yellow_1(A,B))) & F = H & G = I & r1_orders_2(k3_waybel_3(A,B,H),k4_waybel_3(A,B,C,H),k4_waybel_3(A,B,I,H)) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = D & r1_tarski(k10_xtuple_0(F),E) & ! [G] : ( r2_hidden(G,D) => ? [J] : ( m1_subset_1(J,A) & ? [K] : ( m1_subset_1(K,u1_struct_0(k4_yellow_1(A,B))) & G = J & k1_funct_1(F,G) = K & r1_orders_2(k3_waybel_3(A,B,J),k4_waybel_3(A,B,C,J),k4_waybel_3(A,B,K,J)) ) ) ) ) ) ) )).
fof(s6_funct_1__e9_58__waybel_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) & m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(A)) & ~ v1_xboole_0(E) & v1_waybel_0(E,k4_yellow_1(A,B)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) ) => ( ! [F] : ~ ( r2_hidden(F,D) & ! [G] : ~ ( r2_hidden(G,E) & ? [H] : ( m1_subset_1(H,A) & ? [I] : ( m1_subset_1(I,u1_struct_0(k4_yellow_1(A,B))) & F = H & G = I & r1_orders_2(k3_waybel_3(A,B,H),k4_waybel_3(A,B,C,H),k4_waybel_3(A,B,I,H)) ) ) ) ) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & k9_xtuple_0(F) = D & r1_tarski(k10_xtuple_0(F),E) & ! [G] : ( r2_hidden(G,D) => ? [J] : ( m1_subset_1(J,A) & ? [K] : ( m1_subset_1(K,u1_struct_0(k4_yellow_1(A,B))) & G = J & k1_funct_1(F,G) = K & r1_orders_2(k3_waybel_3(A,B,J),k4_waybel_3(A,B,C,J),k4_waybel_3(A,B,K,J)) ) ) ) ) ) ) )).
fof(s6_funct_2__e11_17_2_1_1_1__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_rlvect_2(E,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,F,D) = k1_real_1(k3_funct_2(u1_struct_0(B),k1_numbers,E,D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),k1_numbers,F,G) = A ) ) ) ) )).
fof(s6_funct_2__e11_18_3_1_1_1__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k1_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e11_20_3_1_1__rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlvect_3(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k1_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e11_33_2_1_1_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k1_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e11_34_3_1_1_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k1_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e12_14_2_1_1_1__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_numbers) & m1_subset_1(D,k4_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,E,B) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != B => k3_funct_2(u1_struct_0(A),k4_numbers,E,F) = C ) ) ) ) )).
fof(s6_funct_2__e12_22_1_1_1__convex4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_convex4(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & k3_funct_2(u1_struct_0(A),k2_numbers,E,D) = k5_complex1 & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != D => k3_funct_2(u1_struct_0(A),k2_numbers,E,F) = k3_funct_2(u1_struct_0(A),k2_numbers,C,F) ) ) ) ) )).
fof(s6_funct_2__e12_24_2_1_1_1__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e12_25_3_1_1_1__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e12_41_1_2_4_1__zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m2_subset_1(B,k4_ordinal1,k1_zf_lang) & m1_subset_1(C,A) & m1_subset_1(D,A) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) & k3_funct_2(k1_zf_lang,A,E,B) = C & ! [F] : ( m1_subset_1(F,k1_zf_lang) => ( F != B => k3_funct_2(k1_zf_lang,A,E,F) = D ) ) ) ) )).
fof(s6_funct_2__e13_15_2_1_1_1__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e13_16_3_1_1_1__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_algstr_0(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e14_19_1_2__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m2_vectsp_6(D,A,B,C) & m1_subset_1(E,u1_struct_0(B)) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,E) = k4_struct_0(A) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != E => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G) ) ) ) ) )).
fof(s6_funct_2__e14_36_1_2__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m2_rmod_4(D,A,B,C) & m1_subset_1(E,u1_struct_0(B)) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,E) = k4_struct_0(A) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != E => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,G) ) ) ) ) )).
fof(s6_funct_2__e14_39_1_2__rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_rlvect_2(C,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,D) = k10_subset_1(k5_numbers,k1_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != D => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,C,F) ) ) ) ) )).
fof(s6_funct_2__e15_43_1_2__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_zmodul02(C,A,B) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(E,k4_numbers) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,F,D) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( G != D => k3_funct_2(u1_struct_0(A),k4_numbers,F,G) = k3_funct_2(u1_struct_0(A),k4_numbers,C,G) ) ) ) ) )).
fof(s6_funct_2__e2_19_2_1_1_2__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D) = C & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( F != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e2_22_2_1__convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k2_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & k3_funct_2(u1_struct_0(A),k2_numbers,D,B) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E != B => k3_funct_2(u1_struct_0(A),k2_numbers,D,E) = k5_complex1 ) ) ) ) )).
fof(s6_funct_2__e2_2_1__rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_numbers) & m1_subset_1(D,k1_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,B) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != B => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = C ) ) ) ) )).
fof(s6_funct_2__e2_36_2_1_1_2__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D) = C & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( F != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e30_36__rlaffin3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_numbers) & m1_subset_1(C,k1_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),k1_numbers))) & k3_funct_2(u1_struct_0(k15_euclid(A)),k1_numbers,D,k4_struct_0(k15_euclid(A))) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( E != k4_struct_0(k15_euclid(A)) => k3_funct_2(u1_struct_0(k15_euclid(A)),k1_numbers,D,E) = B ) ) ) ) )).
fof(s6_funct_2__e3_14_2_1_1_1__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_zmodul02(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) & m1_subset_1(E,k4_numbers) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,F,C) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( G != C => k3_funct_2(u1_struct_0(A),k4_numbers,F,G) = k3_funct_2(u1_struct_0(A),k4_numbers,D,G) ) ) ) ) )).
fof(s6_funct_2__e3_14__rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,C,B) = k10_subset_1(1,k1_numbers) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D != B => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e3_15__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) = k1_group_1(A) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E != C => k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e3_17_2_1_1_1__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k10_subset_1(k5_numbers,k1_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,D,F) ) ) ) ) )).
fof(s6_funct_2__e3_18_3_1_1_1__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k10_subset_1(k5_numbers,k1_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,D,F) ) ) ) ) )).
fof(s6_funct_2__e3_18__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,D,C) = A & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E != C => k3_funct_2(u1_struct_0(B),k1_numbers,D,E) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e3_20_3_1_1__rlaffin1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & v1_rlvect_3(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k10_subset_1(k5_numbers,k1_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,D,F) ) ) ) ) )).
fof(s6_funct_2__e3_33_2_1_1_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k10_subset_1(k5_numbers,k1_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,D,F) ) ) ) ) )).
fof(s6_funct_2__e3_34_3_1_1_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_rlvect_2(D,A,k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,E,C) = k10_subset_1(k5_numbers,k1_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != C => k3_funct_2(u1_struct_0(A),k1_numbers,E,F) = k3_funct_2(u1_struct_0(A),k1_numbers,D,F) ) ) ) ) )).
fof(s6_funct_2__e3_39_2_1_1_2__rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,E,C) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( F != C => k3_funct_2(u1_struct_0(B),k1_numbers,E,F) = A ) ) ) ) )).
fof(s6_funct_2__e3_3__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) & ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v2_bhsp_1(C) & l1_bhsp_1(C) & m1_subset_1(D,u1_struct_0(C)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k1_numbers))) & k3_funct_2(u1_struct_0(C),k1_numbers,E,D) = A & ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( F != D => k3_funct_2(u1_struct_0(C),k1_numbers,E,F) = B ) ) ) ) )).
fof(s6_funct_2__e3_3__zmodul03,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_numbers) & m1_subset_1(D,k4_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,E,B) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != B => k3_funct_2(u1_struct_0(A),k4_numbers,E,F) = C ) ) ) ) )).
fof(s6_funct_2__e3_4__vectsp_7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_struct_0(B)) = k1_group_1(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( D != k4_struct_0(B) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,D) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e3_80__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) = k1_group_1(A) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E != C => k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e3_9__rlvect_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,C,k4_struct_0(B)) = A & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( D != k4_struct_0(B) => k3_funct_2(u1_struct_0(B),k1_numbers,C,D) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e4_104__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k4_numbers) & m1_subset_1(C,k4_numbers) & m1_subset_1(D,u1_struct_0(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,E,D) = B & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != D => k3_funct_2(u1_struct_0(A),k4_numbers,E,F) = C ) ) ) ) )).
fof(s6_funct_2__e4_15__vectsp10,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(A)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( F != C => k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e4_24_2_1_1_1__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_struct_0(A) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,G) ) ) ) ) )).
fof(s6_funct_2__e4_25_3_1_1_1__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_struct_0(A) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,G) ) ) ) ) )).
fof(s6_funct_2__e4_2__lmod_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_struct_0(B)) = k5_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( D != k4_struct_0(B) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,D) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e4_43_2_1_1_2__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_numbers) & m1_subset_1(D,k4_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,E,B) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( F != B => k3_funct_2(u1_struct_0(A),k4_numbers,E,F) = C ) ) ) ) )).
fof(s6_funct_2__e4_75__rmod_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_struct_0(B)) = k1_group_1(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( D != k4_struct_0(B) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,D) = k4_struct_0(A) ) ) ) ) )).
fof(s6_funct_2__e4_94__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,k4_numbers) & m1_subset_1(C,k4_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,D,k4_struct_0(A)) = B & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E != k4_struct_0(A) => k3_funct_2(u1_struct_0(A),k4_numbers,D,E) = C ) ) ) ) )).
fof(s6_funct_2__e5_12__rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,k1_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,E,C) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( F != C => k3_funct_2(u1_struct_0(B),k1_numbers,E,F) = A ) ) ) ) )).
fof(s6_funct_2__e5_15_2_1_1_1__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_struct_0(A) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,G) ) ) ) ) )).
fof(s6_funct_2__e5_16_3_1_1_1__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,u1_struct_0(B)) & m2_vectsp_6(E,A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = k4_struct_0(A) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G != D => k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,G) ) ) ) ) )).
fof(s6_funct_2__e5_18__rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,D,B) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E != B => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_funct_2__e5_37__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,D,B) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E != B => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) )).
fof(s6_msafree4__e17_160_1_1__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k10_msafree4(A,B,C)),u3_msualg_1(A,k10_msafree4(A,B,C))) & m1_subset_1(F,u1_struct_0(A)) & m1_subset_1(G,u4_struct_0(A)) & m1_subset_1(H,k3_msualg_1(A,G,k10_msafree4(A,B,C))) & m1_subset_1(I,k3_msualg_1(A,G,k1_msafree3(A,B))) & m1_subset_1(J,k3_msualg_1(A,G,k1_msafree3(A,B))) & v7_ordinal1(K) & m1_subset_1(L,k1_funct_1(u3_msualg_1(A,k10_msafree4(A,B,C)),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,G),k2_xcmplx_0(K,1)))) ) => ( ( k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k7_finseq_1(k16_finseq_1(K,k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k9_finseq_1(k1_funct_1(J,k2_xcmplx_0(K,1)))),k1_rfinseq(k2_xcmplx_0(K,1),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) & r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,G),k2_xcmplx_0(K,1))),k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,G),k2_xcmplx_0(K,1))),L),k1_funct_1(J,k2_xcmplx_0(K,1))) & ! [M] : ! [N] : ( ( r2_hidden(k4_tarski(M,N),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,G),k2_xcmplx_0(K,1)))) & k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k7_finseq_1(k16_finseq_1(K,k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k9_finseq_1(N)),k1_rfinseq(k2_xcmplx_0(K,1),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) ) => k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k7_finseq_1(k16_finseq_1(K,k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k9_finseq_1(M)),k1_rfinseq(k2_xcmplx_0(K,1),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) ) ) => k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k1_funct_1(k5_msualg_1(A,G,k1_msafree3(A,B)),k7_finseq_1(k7_finseq_1(k16_finseq_1(K,k5_msualg_3(A,k1_msafree3(A,B),k1_msafree3(A,B),G,D,I)),k9_finseq_1(k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,G),k2_xcmplx_0(K,1))),L))),k1_rfinseq(k2_xcmplx_0(K,1),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,F),k3_funct_2(k3_msualg_1(A,G,k10_msafree4(A,B,C)),k4_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_1(A,G,k10_msafree4(A,B,C)),k5_msualg_3(A,k10_msafree4(A,B,C),k10_msafree4(A,B,C),G,E,H))) ) ) )).
fof(s6_msafree4__e7_155__msafree4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E)) ) => ( ( k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k3_funct_2(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),F))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),F))) & r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),F,k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),F)) & ! [G] : ! [H] : ( ( r2_hidden(k4_tarski(G,H),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E)) & k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k3_funct_2(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),F))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),H)) ) => k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k3_funct_2(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),F))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),G)) ) ) => k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k3_funct_2(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),k8_msafree4(k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),E),k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),F))) = k2_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,E),k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),D,E),F)) ) ) )).
fof(s6_msafree5__e11_265__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & m1_msualg_6(C,A,k1_msafree3(A,B)) & ~ v1_xboole_0(D) & m2_finseq_1(D,u1_struct_0(A)) & v17_msafree5(E,A,B,D) & m2_finseq_1(E,k3_card_3(B)) ) => ? [F] : ( ~ v1_xboole_0(F) & v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & k4_finseq_1(F) = k4_finseq_1(D) & ! [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(D)) => k1_funct_1(F,G) = k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,k6_msafree5(A,B,k25_msafree5(A,D,G),k26_msafree5(A,B,D,E,G))) ) ) ) )).
fof(s6_nat_1__e10_1_1_4_1_2_1_1_2_22_1_1__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) ) => r1_xxreal_0(D,k3_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B),E),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e10_33_1_1_2__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) & v7_ordinal1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) & r1_xxreal_0(A,E) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),B,D))) ) => r1_xxreal_0(E,k3_finseq_1(C)) ) ) & ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(C)) & r1_xxreal_0(A,E) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),B,D))) ) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(C)) & r1_xxreal_0(A,E) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),B,D))) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(C)) & r1_xxreal_0(A,F) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,F),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),B,D))) ) => r1_xxreal_0(F,E) ) ) ) ) ) )).
fof(s6_nat_1__e10_61_2_1__fintopo6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(C,u1_struct_0(A)) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,D),B) ) => r1_xxreal_0(D,k3_finseq_1(C)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,D),B) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,D),B) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & r2_tarski(k1_funct_1(C,E),B) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e11_36_1_1_1_2__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) => r1_xxreal_0(D,k3_finseq_1(k20_rfunct_3(A,B,A))) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),E) = C ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e11_38_1_1__bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)))) & k1_recdef_1(C,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),D)) != k1_recdef_1(B,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),D)) ) => r1_xxreal_0(D,k3_finseq_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)))) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)))) & k1_recdef_1(C,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),D)) != k1_recdef_1(B,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),D)) ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)))) & k1_recdef_1(C,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),D)) != k1_recdef_1(B,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),D)) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)))) & k1_recdef_1(C,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),E)) != k1_recdef_1(B,k1_funct_1(k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),k22_pre_poly(A,C)),k2_orders_1(A)),E)) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e12_14__graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & v7_graph_1(C,A) & m2_graph_1(C,A) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(u1_graph_1(A),k1_funct_1(C,D)),B) ) => r1_xxreal_0(D,k3_finseq_1(C)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(u1_graph_1(A),k1_funct_1(C,D)),B) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r2_tarski(k1_funct_1(u1_graph_1(A),k1_funct_1(C,D)),B) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & r2_tarski(k1_funct_1(u1_graph_1(A),k1_funct_1(C,E)),B) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e12_44__jordan1j,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & ~ r1_xxreal_0(k18_euclid(k18_pscomp_1(B)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),2,C))) ) => r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) ) ) & ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & ~ r1_xxreal_0(k18_euclid(k18_pscomp_1(B)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),2,C))) ) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & ~ r1_xxreal_0(k18_euclid(k18_pscomp_1(B)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),2,C))) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),D) & ~ r1_xxreal_0(k18_euclid(k18_pscomp_1(B)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),2,D))) ) => r1_xxreal_0(D,C) ) ) ) ) ) )).
fof(s6_nat_1__e12_49__matroid0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ? [E] : ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(E,B) & D = k4_card_1(E) ) => r1_xxreal_0(D,C) ) ) & ? [D] : ( v7_ordinal1(D) & ? [F] : ( v3_pre_topc(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(F,B) & D = k4_card_1(F) ) ) ) => ? [D] : ( v7_ordinal1(D) & ? [G] : ( v3_pre_topc(G,A) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(G,B) & D = k4_card_1(G) ) & ! [H] : ( v7_ordinal1(H) => ( ? [I] : ( v3_pre_topc(I,A) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(I,B) & H = k4_card_1(I) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e13_7_1_2__integra3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xreal_0(A) & ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & m1_integra1(C,B) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_seq_4(k2_integra1(B,C,D)),A) & r2_tarski(D,k4_finseq_1(C)) ) => r1_xxreal_0(D,k3_finseq_1(C)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_seq_4(k2_integra1(B,C,D)),A) & r2_tarski(D,k4_finseq_1(C)) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_seq_4(k2_integra1(B,C,D)),A) & r2_tarski(D,k4_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k3_seq_4(k2_integra1(B,C,E)),A) & r2_tarski(E,k4_finseq_1(C)) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e14_30__jordan9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(A,B)),C) & ~ r1_xxreal_0(k17_euclid(k20_pscomp_1(A)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),C,k7_nat_d(k1_matrix_0(k1_jordan8(A,B)),1)))) ) => r1_xxreal_0(C,k3_finseq_1(k1_jordan8(A,B))) ) ) & ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(A,B)),C) & ~ r1_xxreal_0(k17_euclid(k20_pscomp_1(A)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),C,k7_nat_d(k1_matrix_0(k1_jordan8(A,B)),1)))) ) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(A,B)),C) & ~ r1_xxreal_0(k17_euclid(k20_pscomp_1(A)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),C,k7_nat_d(k1_matrix_0(k1_jordan8(A,B)),1)))) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(A,B)),D) & ~ r1_xxreal_0(k17_euclid(k20_pscomp_1(A)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),D,k7_nat_d(k1_matrix_0(k1_jordan8(A,B)),1)))) ) => r1_xxreal_0(D,C) ) ) ) ) ) )).
fof(s6_nat_1__e14_99_1__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v7_ordinal1(B) & m1_subset_1(C,k6_glib_000(A)) & m1_subset_1(D,k6_glib_000(A)) & m1_subset_1(E,k6_glib_000(A)) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ? [G] : ( m1_subset_1(G,k6_glib_000(A)) & r2_tarski(G,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B))) & r1_chord(A,D,G) & ~ r1_chord(A,C,G) & ~ r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),G),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),E)) & k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),G) = F ) => r1_xxreal_0(F,k15_glib_000(A)) ) ) & ? [F] : ( v7_ordinal1(F) & ? [H] : ( m1_subset_1(H,k6_glib_000(A)) & r2_tarski(H,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B))) & r1_chord(A,D,H) & ~ r1_chord(A,C,H) & ~ r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),H),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),E)) & k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),H) = F ) ) ) => ? [F] : ( v7_ordinal1(F) & ? [I] : ( m1_subset_1(I,k6_glib_000(A)) & r2_tarski(I,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B))) & r1_chord(A,D,I) & ~ r1_chord(A,C,I) & ~ r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),I),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),E)) & k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),I) = F ) & ! [J] : ( v7_ordinal1(J) => ( ? [K] : ( m1_subset_1(K,k6_glib_000(A)) & r2_tarski(K,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B))) & r1_chord(A,D,K) & ~ r1_chord(A,C,K) & ~ r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),K),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),E)) & k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),K) = J ) => r1_xxreal_0(J,F) ) ) ) ) ) )).
fof(s6_nat_1__e18_3_1__glib_003,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(A)) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) => r1_xxreal_0(D,C) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k1_relset_1(k4_ordinal1,B)) ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k1_relset_1(k4_ordinal1,B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,B)) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e38_100__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A),k4_ordinal1))) & m3_chord(C,A) & m1_subset_1(D,k6_glib_000(A)) & m1_subset_1(E,k6_glib_000(A)) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k1_relset_1(k4_ordinal1,C)) & ~ r1_xxreal_0(k1_recdef_1(B,k7_partfun1(k6_glib_000(A),C,F)),k1_recdef_1(B,E)) & E != k7_partfun1(k6_glib_000(A),C,F) & r1_chord(A,D,k7_partfun1(k6_glib_000(A),C,F)) & ~ r1_chord(A,E,k7_partfun1(k6_glib_000(A),C,F)) ) => r1_xxreal_0(F,k3_finseq_1(C)) ) ) & ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k1_relset_1(k4_ordinal1,C)) & ~ r1_xxreal_0(k1_recdef_1(B,k7_partfun1(k6_glib_000(A),C,F)),k1_recdef_1(B,E)) & E != k7_partfun1(k6_glib_000(A),C,F) & r1_chord(A,D,k7_partfun1(k6_glib_000(A),C,F)) & ~ r1_chord(A,E,k7_partfun1(k6_glib_000(A),C,F)) ) ) => ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k1_relset_1(k4_ordinal1,C)) & ~ r1_xxreal_0(k1_recdef_1(B,k7_partfun1(k6_glib_000(A),C,F)),k1_recdef_1(B,E)) & E != k7_partfun1(k6_glib_000(A),C,F) & r1_chord(A,D,k7_partfun1(k6_glib_000(A),C,F)) & ~ r1_chord(A,E,k7_partfun1(k6_glib_000(A),C,F)) & ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(G,k1_relset_1(k4_ordinal1,C)) & ~ r1_xxreal_0(k1_recdef_1(B,k7_partfun1(k6_glib_000(A),C,G)),k1_recdef_1(B,E)) & E != k7_partfun1(k6_glib_000(A),C,G) & r1_chord(A,D,k7_partfun1(k6_glib_000(A),C,G)) & ~ r1_chord(A,E,k7_partfun1(k6_glib_000(A),C,G)) ) => r1_xxreal_0(G,F) ) ) ) ) ) )).
fof(s6_nat_1__e39_1_1__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(A)) & k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) != k1_xboole_0 ) => r1_xxreal_0(D,k3_finseq_1(A)) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(A)) & k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) != k1_xboole_0 ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(A)) & k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,D))) != k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(A)) & k3_xboole_0(k10_xtuple_0(k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,E))) != k1_xboole_0 ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e3_15_1__lattice7,axiom,( ! [A] : ! [B] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,B) & C = k1_lattice7(A,D) ) => r1_xxreal_0(C,k4_card_1(u1_struct_0(A))) ) ) & ? [C] : ( v7_ordinal1(C) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_tarski(E,B) & C = k1_lattice7(A,E) ) ) ) => ? [C] : ( v7_ordinal1(C) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,B) & C = k1_lattice7(A,F) ) & ! [G] : ( v7_ordinal1(G) => ( ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r2_tarski(H,B) & G = k1_lattice7(A,H) ) => r1_xxreal_0(G,C) ) ) ) ) ) )).
fof(s6_nat_1__e48_1_1__goboard4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e4_139_1__lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A),k4_ordinal1))) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ? [D] : ( v5_glib_001(D,A) & m3_glib_001(D,A) & r1_xxreal_0(5,k3_finseq_1(D)) & ~ v1_glib_001(D,A) & ~ v5_chord(D,A) & ~ r1_xxreal_0(k1_recdef_1(B,k3_glib_001(A,D)),k1_recdef_1(B,k4_glib_001(A,D))) & ~ r1_xxreal_0(k1_recdef_1(B,k4_glib_001(A,D)),k1_recdef_1(B,k1_funct_1(D,3))) & ? [E] : ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) & ~ r1_xxreal_0(E,1) & ~ r1_xxreal_0(k3_finseq_1(D),E) & ! [F] : ( ( ~ v1_abian(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( ( ~ v1_abian(G) & m1_subset_1(G,k4_ordinal1) ) => ~ ( r1_xxreal_0(E,F) & ~ r1_xxreal_0(G,F) & r1_xxreal_0(G,k3_finseq_1(D)) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(D,G)),k1_recdef_1(B,k1_funct_1(D,F))) ) ) ) & ! [F] : ( ( ~ v1_abian(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( ( ~ v1_abian(G) & m1_subset_1(G,k4_ordinal1) ) => ~ ( r1_xxreal_0(1,F) & ~ r1_xxreal_0(G,F) & r1_xxreal_0(G,E) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(D,F)),k1_recdef_1(B,k1_funct_1(D,G))) ) ) ) ) & k1_recdef_1(B,k4_glib_001(A,D)) = C ) => r1_xxreal_0(C,k15_glib_000(A)) ) ) & ? [C] : ( v7_ordinal1(C) & ? [H] : ( v5_glib_001(H,A) & m3_glib_001(H,A) & r1_xxreal_0(5,k3_finseq_1(H)) & ~ v1_glib_001(H,A) & ~ v5_chord(H,A) & ~ r1_xxreal_0(k1_recdef_1(B,k3_glib_001(A,H)),k1_recdef_1(B,k4_glib_001(A,H))) & ~ r1_xxreal_0(k1_recdef_1(B,k4_glib_001(A,H)),k1_recdef_1(B,k1_funct_1(H,3))) & ? [I] : ( ~ v1_abian(I) & m1_subset_1(I,k4_ordinal1) & ~ r1_xxreal_0(I,1) & ~ r1_xxreal_0(k3_finseq_1(H),I) & ! [J] : ( ( ~ v1_abian(J) & m1_subset_1(J,k4_ordinal1) ) => ! [K] : ( ( ~ v1_abian(K) & m1_subset_1(K,k4_ordinal1) ) => ~ ( r1_xxreal_0(I,J) & ~ r1_xxreal_0(K,J) & r1_xxreal_0(K,k3_finseq_1(H)) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(H,K)),k1_recdef_1(B,k1_funct_1(H,J))) ) ) ) & ! [J] : ( ( ~ v1_abian(J) & m1_subset_1(J,k4_ordinal1) ) => ! [K] : ( ( ~ v1_abian(K) & m1_subset_1(K,k4_ordinal1) ) => ~ ( r1_xxreal_0(1,J) & ~ r1_xxreal_0(K,J) & r1_xxreal_0(K,I) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(H,J)),k1_recdef_1(B,k1_funct_1(H,K))) ) ) ) ) & k1_recdef_1(B,k4_glib_001(A,H)) = C ) ) ) => ? [C] : ( v7_ordinal1(C) & ? [L] : ( v5_glib_001(L,A) & m3_glib_001(L,A) & r1_xxreal_0(5,k3_finseq_1(L)) & ~ v1_glib_001(L,A) & ~ v5_chord(L,A) & ~ r1_xxreal_0(k1_recdef_1(B,k3_glib_001(A,L)),k1_recdef_1(B,k4_glib_001(A,L))) & ~ r1_xxreal_0(k1_recdef_1(B,k4_glib_001(A,L)),k1_recdef_1(B,k1_funct_1(L,3))) & ? [M] : ( ~ v1_abian(M) & m1_subset_1(M,k4_ordinal1) & ~ r1_xxreal_0(M,1) & ~ r1_xxreal_0(k3_finseq_1(L),M) & ! [N] : ( ( ~ v1_abian(N) & m1_subset_1(N,k4_ordinal1) ) => ! [O] : ( ( ~ v1_abian(O) & m1_subset_1(O,k4_ordinal1) ) => ~ ( r1_xxreal_0(M,N) & ~ r1_xxreal_0(O,N) & r1_xxreal_0(O,k3_finseq_1(L)) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(L,O)),k1_recdef_1(B,k1_funct_1(L,N))) ) ) ) & ! [N] : ( ( ~ v1_abian(N) & m1_subset_1(N,k4_ordinal1) ) => ! [O] : ( ( ~ v1_abian(O) & m1_subset_1(O,k4_ordinal1) ) => ~ ( r1_xxreal_0(1,N) & ~ r1_xxreal_0(O,N) & r1_xxreal_0(O,M) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(L,N)),k1_recdef_1(B,k1_funct_1(L,O))) ) ) ) ) & k1_recdef_1(B,k4_glib_001(A,L)) = C ) & ! [P] : ( v7_ordinal1(P) => ( ? [Q] : ( v5_glib_001(Q,A) & m3_glib_001(Q,A) & r1_xxreal_0(5,k3_finseq_1(Q)) & ~ v1_glib_001(Q,A) & ~ v5_chord(Q,A) & ~ r1_xxreal_0(k1_recdef_1(B,k3_glib_001(A,Q)),k1_recdef_1(B,k4_glib_001(A,Q))) & ~ r1_xxreal_0(k1_recdef_1(B,k4_glib_001(A,Q)),k1_recdef_1(B,k1_funct_1(Q,3))) & ? [R] : ( ~ v1_abian(R) & m1_subset_1(R,k4_ordinal1) & ~ r1_xxreal_0(R,1) & ~ r1_xxreal_0(k3_finseq_1(Q),R) & ! [S] : ( ( ~ v1_abian(S) & m1_subset_1(S,k4_ordinal1) ) => ! [T] : ( ( ~ v1_abian(T) & m1_subset_1(T,k4_ordinal1) ) => ~ ( r1_xxreal_0(R,S) & ~ r1_xxreal_0(T,S) & r1_xxreal_0(T,k3_finseq_1(Q)) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(Q,T)),k1_recdef_1(B,k1_funct_1(Q,S))) ) ) ) & ! [S] : ( ( ~ v1_abian(S) & m1_subset_1(S,k4_ordinal1) ) => ! [T] : ( ( ~ v1_abian(T) & m1_subset_1(T,k4_ordinal1) ) => ~ ( r1_xxreal_0(1,S) & ~ r1_xxreal_0(T,S) & r1_xxreal_0(T,R) & r1_xxreal_0(k1_recdef_1(B,k1_funct_1(Q,S)),k1_recdef_1(B,k1_funct_1(Q,T))) ) ) ) ) & k1_recdef_1(B,k4_glib_001(A,Q)) = P ) => r1_xxreal_0(P,C) ) ) ) ) ) )).
fof(s6_nat_1__e4_29_1_1_1_2__rearran1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) => r1_xxreal_0(D,k3_finseq_1(k20_rfunct_3(A,B,A))) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),D) = C & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k20_rfunct_3(A,B,A))) & k1_funct_1(k20_rfunct_3(A,B,A),E) = C ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e4_50_2_1_2__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_matrlin(C,A,B) & v1_finset_1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,D) & ~ r1_xxreal_0(k3_finseq_1(C),E) ) => r1_xxreal_0(E,k3_finseq_1(C)) ) ) & ? [E] : ( v7_ordinal1(E) & r2_tarski(E,D) & ~ r1_xxreal_0(k3_finseq_1(C),E) ) ) => ? [E] : ( v7_ordinal1(E) & r2_tarski(E,D) & ~ r1_xxreal_0(k3_finseq_1(C),E) & ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,D) & ~ r1_xxreal_0(k3_finseq_1(C),F) ) => r1_xxreal_0(F,E) ) ) ) ) ) )).
fof(s6_nat_1__e4_99_1_1_3_1_2__lexbfs,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v7_ordinal1(B) & m1_subset_1(C,k6_glib_000(A)) & m1_subset_1(D,k6_glib_000(A)) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ( ( ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),k7_nat_d(k15_glib_000(A),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),C))),D),G) & k1_recdef_1(k1_uproots(k4_ordinal1,E,1),G) != k1_recdef_1(k1_uproots(k4_ordinal1,F,1),G) ) => r1_xxreal_0(G,k15_glib_000(A)) ) ) & ? [G] : ( v7_ordinal1(G) & r2_tarski(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),k7_nat_d(k15_glib_000(A),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),C))),D),G) & k1_recdef_1(k1_uproots(k4_ordinal1,E,1),G) != k1_recdef_1(k1_uproots(k4_ordinal1,F,1),G) ) ) => ? [G] : ( v7_ordinal1(G) & r2_tarski(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),k7_nat_d(k15_glib_000(A),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),C))),D),G) & k1_recdef_1(k1_uproots(k4_ordinal1,E,1),G) != k1_recdef_1(k1_uproots(k4_ordinal1,F,1),G) & ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),k7_nat_d(k15_glib_000(A),k1_recdef_1(k5_lexbfs(A,k15_lexbfs(A,k16_lexbfs(A)),B),C))),D),H) & k1_recdef_1(k1_uproots(k4_ordinal1,E,1),H) != k1_recdef_1(k1_uproots(k4_ordinal1,F,1),H) ) => r1_xxreal_0(H,G) ) ) ) ) ) )).
fof(s6_nat_1__e5_12_1_2__nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( r1_nat_d(k1_newton(2,B),A) => r1_xxreal_0(B,A) ) ) & ? [B] : ( v7_ordinal1(B) & r1_nat_d(k1_newton(2,B),A) ) ) => ? [B] : ( v7_ordinal1(B) & r1_nat_d(k1_newton(2,B),A) & ! [C] : ( v7_ordinal1(C) => ( r1_nat_d(k1_newton(2,C),A) => r1_xxreal_0(C,B) ) ) ) ) ) )).
fof(s6_nat_1__e5_25_1_1_2__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e5_29_1_1_2__goboard1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v7_ordinal1(C) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) ) => ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,E),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,C))) ) => r1_xxreal_0(E,D) ) ) ) ) ) )).
fof(s6_nat_1__e6_50__glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v2_glib_002(A) ) => ( ( ! [B] : ( v7_ordinal1(B) => ( ? [C] : ( v5_glib_001(C,A) & m3_glib_001(C,A) & k3_finseq_1(C) = B ) => r1_xxreal_0(B,k2_nat_1(2,k1_nat_1(k15_glib_000(A),1))) ) ) & ? [B] : ( v7_ordinal1(B) & ? [D] : ( v5_glib_001(D,A) & m3_glib_001(D,A) & k3_finseq_1(D) = B ) ) ) => ? [B] : ( v7_ordinal1(B) & ? [E] : ( v5_glib_001(E,A) & m3_glib_001(E,A) & k3_finseq_1(E) = B ) & ! [F] : ( v7_ordinal1(F) => ( ? [G] : ( v5_glib_001(G,A) & m3_glib_001(G,A) & k3_finseq_1(G) = F ) => r1_xxreal_0(F,B) ) ) ) ) ) )).
fof(s6_nat_1__e76_114_1_2__chord,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) & m1_subset_1(C,k6_glib_000(A)) & v5_glib_001(D,o_3_4_chord(A,B,C)) & m3_glib_001(D,o_3_4_chord(A,B,C)) & m1_subset_1(E,k6_glib_000(A)) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(D)) & ~ v1_abian(F) & ~ r1_xxreal_0(k3_finseq_1(D),F) & ? [G] : r1_glib_000(A,E,k1_funct_1(D,F),G) ) => r1_xxreal_0(F,k3_finseq_1(D)) ) ) & ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k4_finseq_1(D)) & ~ v1_abian(F) & ~ r1_xxreal_0(k3_finseq_1(D),F) & ? [H] : r1_glib_000(A,E,k1_funct_1(D,F),H) ) ) => ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k4_finseq_1(D)) & ~ v1_abian(F) & ~ r1_xxreal_0(k3_finseq_1(D),F) & ? [I] : r1_glib_000(A,E,k1_funct_1(D,F),I) & ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(J,k4_finseq_1(D)) & ~ v1_abian(J) & ~ r1_xxreal_0(k3_finseq_1(D),J) & ? [K] : r1_glib_000(A,E,k1_funct_1(D,J),K) ) => r1_xxreal_0(J,F) ) ) ) ) ) )).
fof(s6_nat_1__e7_22_1_2__funct_7,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,A) => r1_xxreal_0(C,B) ) ) & ? [C] : ( v7_ordinal1(C) & r2_tarski(C,A) ) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,A) => r1_xxreal_0(D,C) ) ) ) ) ) )).
fof(s6_nat_1__e7_39__rat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v1_rat_1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k3_xcmplx_0(C,k1_rat_1(B)),A) => r1_xxreal_0(C,A) ) ) & ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(k3_xcmplx_0(C,k1_rat_1(B)),A) ) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(k3_xcmplx_0(C,k1_rat_1(B)),A) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k3_xcmplx_0(D,k1_rat_1(B)),A) => r1_xxreal_0(D,C) ) ) ) ) ) )).
fof(s6_nat_1__e7_54_1_1_1_2__seqm_3,axiom,( ! [A] : ! [B] : ( ( m2_finseq_1(A,k1_numbers) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,C) = B ) => r1_xxreal_0(C,k3_finseq_1(A)) ) ) & ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,C) = B ) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,C) = B & ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(A)) & k1_funct_1(A,D) = B ) => r1_xxreal_0(D,C) ) ) ) ) ) )).
fof(s6_nat_1__e8_74_1__stirl2_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) & v7_ordinal1(B) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,A) => r1_xxreal_0(C,B) ) ) & ? [C] : ( v7_ordinal1(C) & r2_tarski(C,A) ) ) => ? [C] : ( v7_ordinal1(C) & r2_tarski(C,A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,A) => r1_xxreal_0(D,C) ) ) ) ) ) )).
fof(s6_nat_1__e9_13_1_1_1_2_4_1_1_1_1_1_7_3_1_2__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(C),k18_euclid(E)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(C),k18_euclid(F)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(C),k18_euclid(G)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k18_euclid(C),k18_euclid(I)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_13_1_1_1_2_4_1_1_1_1_3_6_3_1_2__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(E),k18_euclid(C)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(F),k18_euclid(C)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(G),k18_euclid(C)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k18_euclid(I),k18_euclid(C)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_13_1_1_1_2_4_1_2_1_1_1_7_3_1_2__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(C),k17_euclid(E)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(C),k17_euclid(F)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(C),k17_euclid(G)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k17_euclid(C),k17_euclid(I)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_13_1_1_1_2_4_1_2_1_1_3_6_3_1_2__goboard2,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(E),k17_euclid(C)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(F),k17_euclid(C)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(G),k17_euclid(C)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k17_euclid(I),k17_euclid(C)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_2_1_1_2_7_1_1_1_1_1_22_3_2__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(C),k18_euclid(E)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(C),k18_euclid(F)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(C),k18_euclid(G)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k18_euclid(C),k18_euclid(I)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_2_1_1_2_7_1_1_1_1_3_21_3_1_2__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(E),k18_euclid(C)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(F),k18_euclid(C)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k18_euclid(G),k18_euclid(C)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k18_euclid(I),k18_euclid(C)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_2_1_1_2_7_1_2_1_1_1_22_3_2__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(C),k17_euclid(E)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(C),k17_euclid(F)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(C),k17_euclid(G)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k17_euclid(C),k17_euclid(I)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_2_1_1_2_7_1_2_1_1_3_21_3_1_2__goboard3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & m1_subset_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( E = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(E),k17_euclid(C)) ) ) ) => r1_xxreal_0(D,k3_finseq_1(B)) ) ) & ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( F = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(F),k17_euclid(C)) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(k3_finseq_1(A),D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ( G = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) => r1_xxreal_0(k17_euclid(G),k17_euclid(C)) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(k3_finseq_1(A),H) & r1_xxreal_0(H,k3_finseq_1(B)) & ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( I = k7_partfun1(u1_struct_0(k15_euclid(2)),B,H) => r1_xxreal_0(k17_euclid(I),k17_euclid(C)) ) ) ) => r1_xxreal_0(H,D) ) ) ) ) ) )).
fof(s6_nat_1__e9_36_4__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( l6_algstr_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & v7_ordinal1(D) & v7_ordinal1(E) ) => ( ( ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(F,k9_matrixj2(A,B,C)) & ? [G] : ( v7_ordinal1(G) & F = k2_xcmplx_0(E,k3_xcmplx_0(G,D)) ) ) => r1_xxreal_0(F,k9_matrixj2(A,B,C)) ) ) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(F,k9_matrixj2(A,B,C)) & ? [H] : ( v7_ordinal1(H) & F = k2_xcmplx_0(E,k3_xcmplx_0(H,D)) ) ) ) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(F,k9_matrixj2(A,B,C)) & ? [I] : ( v7_ordinal1(I) & F = k2_xcmplx_0(E,k3_xcmplx_0(I,D)) ) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(J,k9_matrixj2(A,B,C)) & ? [K] : ( v7_ordinal1(K) & J = k2_xcmplx_0(E,k3_xcmplx_0(K,D)) ) ) => r1_xxreal_0(J,F) ) ) ) ) ) )).
fof(s6_pboole__e8_100_1__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(A)) & m3_yellow_6(D,u1_struct_0(B),A) & m1_connsp_2(E,A,C) & m1_subset_1(F,u1_struct_0(B)) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ? [H] : ? [I] : ( m1_subset_1(I,u1_struct_0(k6_yellow_6(u1_struct_0(B),A,D,G))) & I = H & ( r1_orders_2(B,F,G) => ! [J] : ( m1_subset_1(J,u1_struct_0(k6_yellow_6(u1_struct_0(B),A,D,G))) => ( r1_orders_2(k6_yellow_6(u1_struct_0(B),A,D,G),I,J) => r2_tarski(k2_waybel_0(A,k6_yellow_6(u1_struct_0(B),A,D,G),J),E) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(B)) & v1_funct_1(G) & v1_partfun1(G,u1_struct_0(B)) & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ? [K] : ( m1_subset_1(K,u1_struct_0(k6_yellow_6(u1_struct_0(B),A,D,H))) & K = k1_funct_1(G,H) & ( r1_orders_2(B,F,H) => ! [L] : ( m1_subset_1(L,u1_struct_0(k6_yellow_6(u1_struct_0(B),A,D,H))) => ( r1_orders_2(k6_yellow_6(u1_struct_0(B),A,D,H),K,L) => r2_tarski(k2_waybel_0(A,k6_yellow_6(u1_struct_0(B),A,D,H),L),E) ) ) ) ) ) ) ) ) )).
fof(s6_pboole__e8_48__euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k3_pcomps_1(k14_euclid(A)))) => ? [C] : ? [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) & D = B & C = k5_euclid_9(A,D) ) ) => ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k3_pcomps_1(k14_euclid(A)))) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(k3_pcomps_1(k14_euclid(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k3_pcomps_1(k14_euclid(A)))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) & E = C & k1_funct_1(B,C) = k5_euclid_9(A,E) ) ) ) ) ) )).
fof(s6_pboole__e9_115_1__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v8_yellow_6(B,A) & m4_yellow_6(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_yellow_6(A,B)))) & ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & m2_yellow_6(E,A,D) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ? [G] : ( r2_hidden(k4_tarski(G,k2_waybel_0(A,E,F)),B) & ? [H] : ( ~ v2_struct_0(H) & v4_orders_2(H) & v7_waybel_0(H) & l1_waybel_0(H,A) & H = G & r1_tarski(k2_relset_1(u1_struct_0(A),u1_waybel_0(A,H)),C) ) ) ) => ? [F] : ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(E)) & v1_funct_1(F) & v1_partfun1(F,u1_struct_0(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( r2_hidden(k4_tarski(k1_funct_1(F,G),k2_waybel_0(A,E,G)),B) & ? [I] : ( ~ v2_struct_0(I) & v4_orders_2(I) & v7_waybel_0(I) & l1_waybel_0(I,A) & I = k1_funct_1(F,G) & r1_tarski(k2_relset_1(u1_struct_0(A),u1_waybel_0(A,I)),C) ) ) ) ) ) ) )).
fof(s6_qc_lang3__e2_15_4__substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k9_substut1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k8_substut1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v4_qc_lang1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( C = k9_substut1(A,k19_qc_lang1(A,B)) & D = k9_substut1(A,k20_qc_lang1(A,B)) ) => k9_substut1(A,B) = k4_subset_1(k3_qc_lang1(A),C,D) ) ) ) ) ) )).
fof(s6_qc_lang3__e2_44_4__qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) & m1_subset_1(C,k9_qc_lang1(A)) ) => ( ( ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( E = k4_qc_lang3(A,B,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_qc_lang1(A),k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(B)))) & E = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,D) & ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(B)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(B)) => ( ( G = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_subset_1(B) ) & ( v2_qc_lang1(G,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_qc_lang3(A,k17_qc_lang1(A,G),B) ) & ( ( v3_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k18_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) & ( ( v4_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k19_qc_lang1(A,G)) & I = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k20_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k4_subset_1(B,H,I) ) & ( ( v5_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k22_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) ) ) ) ) ) ) ) ) & v4_qc_lang1(C,A) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( ( D = k4_qc_lang3(A,B,k19_qc_lang1(A,C)) & E = k4_qc_lang3(A,B,k20_qc_lang1(A,C)) ) => k4_qc_lang3(A,B,C) = k4_subset_1(B,D,E) ) ) ) ) ) )).
fof(s6_qc_lang3__e3_17__qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k24_qc_lang1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k23_qc_lang1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k7_subset_1(k3_qc_lang1(A),G,k1_tarski(k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v4_qc_lang1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_qc_lang1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( C = k24_qc_lang1(A,k19_qc_lang1(A,B)) & D = k24_qc_lang1(A,k20_qc_lang1(A,B)) ) => k24_qc_lang1(A,B) = k4_subset_1(k3_qc_lang1(A),C,D) ) ) ) ) ) )).
fof(s6_stacks_1__e7_67__stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( ( k13_stacks_1(A,B) = k13_stacks_1(A,B) & r1_rewrite1(k12_stacks_1(A),B,C) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( ( r1_rewrite1(k12_stacks_1(A),B,D) & r2_tarski(k1_domain_1(u4_struct_0(A),u4_struct_0(A),D,E),k12_stacks_1(A)) & k13_stacks_1(A,D) = k13_stacks_1(A,B) ) => k13_stacks_1(A,E) = k13_stacks_1(A,B) ) ) ) ) => k13_stacks_1(A,C) = k13_stacks_1(A,B) ) ) )).
fof(s6_stirl2_1__e11_58_1_1_2__stirl2_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(C) & v1_funct_2(C,k4_card_1(k5_card_1(A)),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(k5_card_1(A)),k5_card_1(A)))) ) => ( ( v2_funct_2(C,k5_card_1(A)) & v2_funct_1(C) & ~ v1_xboole_0(k5_card_1(A)) & r2_tarski(B,k5_card_1(k1_nat_1(B,1))) ) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,k4_ordinal1) & v5_ordinal1(D) & v1_funct_1(D) & v1_finset_1(D) & k2_afinsq_1(D) = k4_card_1(k5_card_1(A)) & k1_card_1(a_2_8_stirl2_1(A,B)) = k7_afinsq_2(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_afinsq_1(D)) => k1_funct_1(D,E) = k1_card_1(a_4_1_stirl2_1(A,B,C,E)) ) ) ) ) ) )).
fof(s6_stirl2_1__e14_7_1_1_2__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v1_finset_1(B) & v1_funct_1(D) & v1_funct_2(D,k4_card_1(B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(B),B))) ) => ( ( v2_funct_2(D,B) & v2_funct_1(D) & ~ v1_xboole_0(B) & r2_tarski(C,A) ) => ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k4_ordinal1) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) & k2_afinsq_1(E) = k4_card_1(B) & k1_card_1(a_2_0_card_fin(A,B)) = k7_afinsq_2(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_afinsq_1(E)) => k1_funct_1(E,F) = k1_card_1(a_5_4_card_fin(A,B,C,D,F)) ) ) ) ) ) )).
fof(s6_stirl2_1__e17_4_1_2_1__card_fin,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_finset_1(A) & v1_finset_1(B) & v1_funct_1(C) & v1_funct_2(C,k4_card_1(B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_1(B),B))) ) => ( ( v2_funct_2(C,B) & v2_funct_1(C) & ~ v1_xboole_0(B) & r2_tarski(D,A) ) => ? [E] : ( v1_relat_1(E) & v5_relat_1(E,k4_ordinal1) & v5_ordinal1(E) & v1_funct_1(E) & v1_finset_1(E) & k2_afinsq_1(E) = k4_card_1(B) & k1_card_1(a_2_3_card_fin(A,B)) = k7_afinsq_2(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_afinsq_1(E)) => k1_funct_1(E,F) = k1_card_1(a_5_2_card_fin(A,B,C,D,F)) ) ) ) ) ) )).
fof(s6_subset_1__e2_35_1__sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => k3_tarski(a_1_6_sf_mastr(A)) = k2_xboole_0(k1_sf_mastr(A),k1_sf_mastr(k2_compos_1(k1_scmfsa_2))) ) )).
fof(s6_subset_1__e2_58_1__sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => k3_tarski(a_1_11_sf_mastr(A)) = k2_xboole_0(k4_sf_mastr(A),k4_sf_mastr(k2_compos_1(k1_scmfsa_2))) ) )).
fof(s7_absred_0__e1_103__absred_0,axiom,( ? [A] : ( ~ v2_struct_0(A) & v1_absred_0(A) & l1_absred_0(A) & u1_struct_0(A) = k2_tarski(k5_ordinal1,1) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_absred_0(A,B,C) <=> B = k5_ordinal1 ) ) ) ) )).
fof(s7_aofa_000__e4_150__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & v3_freealg(C) & v3_aofa_000(C) & v4_aofa_000(C) & v5_aofa_000(C) & v6_aofa_000(C) & v12_aofa_000(C) & l1_unialg_1(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,k18_aofa_000(C)),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,k18_aofa_000(C)),A))) & m2_funct_2(E,A,A,k9_funct_2(A,A)) & m2_funct_2(F,A,A,k9_funct_2(A,A)) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_tarski(G,k18_aofa_000(C)) => r2_tarski(k1_funct_1(k3_funct_5(D),G),k9_funct_2(A,A)) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(C),k9_funct_2(A,A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k9_funct_2(A,A)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ( r2_tarski(H,k18_aofa_000(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H) = k1_funct_1(k3_funct_5(D),H) ) ) & k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k12_aofa_000(C)) = F & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k13_aofa_000(C,H,I)) = k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H),k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,I)) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k14_aofa_000(C,H,I,J)) = k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H),k3_aofa_000(A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,I),k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,J),B)) ) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k16_aofa_000(C,H,I)) = k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H),k8_aofa_000(A,k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,I),k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H)),B,E)) ) ) ) ) ) )).
fof(s7_aofa_000__e4_151__aofa_000,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & v3_freealg(C) & v3_aofa_000(C) & v4_aofa_000(C) & v5_aofa_000(C) & v6_aofa_000(C) & v12_aofa_000(C) & l1_unialg_1(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,k18_aofa_000(C)),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,k18_aofa_000(C)),A))) & v1_funct_1(E) & v1_funct_2(E,k9_funct_2(A,A),k9_funct_2(A,A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,A),k9_funct_2(A,A)))) & m2_funct_2(F,A,A,k9_funct_2(A,A)) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_tarski(G,k18_aofa_000(C)) => r2_tarski(k1_funct_1(k3_funct_5(D),G),k9_funct_2(A,A)) ) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(C),k9_funct_2(A,A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),k9_funct_2(A,A)))) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ( r2_tarski(H,k18_aofa_000(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H) = k1_funct_1(k3_funct_5(D),H) ) ) & k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k12_aofa_000(C)) = F & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k13_aofa_000(C,H,I)) = k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H),k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,I)) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k14_aofa_000(C,H,I,J)) = k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H),k3_aofa_000(A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,I),k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,J),B)) ) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,k16_aofa_000(C,H,I)) = k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H),k8_aofa_000(A,k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,I),k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H)),B,k10_funct_5(k9_funct_2(A,A),A,A,k9_funct_2(A,A),E,k4_aofa_000(A,A,A,k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,I),k3_funct_2(u1_struct_0(C),k9_funct_2(A,A),G,H))))) ) ) ) ) ) )).
fof(s7_cqc_lang__e2_15_3__valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_valuat_1(C,A,B) & m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_subset_1(F,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ( F = k8_valuat_1(A,B,C,E) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)))) & F = k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,E) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,k5_cqc_lang(A)) = k10_subset_1(k8_funcop_1(k5_margrel1,k2_valuat_1(A,B),k7_margrel1),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [J] : ( m2_subset_1(J,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( ( v5_relat_1(L,k3_qc_lang1(A)) & v3_card_1(L,K) & m2_finseq_1(L,k2_qc_lang1(A)) ) => ! [M] : ( m2_subset_1(M,k6_qc_lang1(A),k8_qc_lang1(A,K)) => ( k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,k4_cqc_lang(K,A,M,L)) = k5_valuat_1(A,B,K,L,k7_valuat_1(A,B,K,C,M)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,k6_cqc_lang(A,H)) = k10_subset_1(k14_margrel1(k2_valuat_1(A,B),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,H)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,k7_cqc_lang(A,H,I)) = k10_subset_1(k15_margrel1(k2_valuat_1(A,B),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,H),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,I)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,k11_cqc_lang(A,J,H)) = k10_subset_1(k3_valuat_1(A,B,J,k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,B),k5_margrel1),G,H)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) ) ) ) ) ) ) ) ) ) ) => k8_valuat_1(A,B,C,k6_cqc_lang(A,D)) = k10_subset_1(k14_margrel1(k2_valuat_1(A,B),k8_valuat_1(A,B,C,D)),k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) ) ) )).
fof(s7_cqc_lang__e2_31__cqc_sim1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k7_cqc_sim1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k3_cqc_lang(A),k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k4_ordinal1))) & D = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,C) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,k5_cqc_lang(A)) = k5_numbers & ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( ( v5_relat_1(J,k3_qc_lang1(A)) & v3_card_1(J,I) & m2_finseq_1(J,k2_qc_lang1(A)) ) => ! [K] : ( m2_subset_1(K,k6_qc_lang1(A),k8_qc_lang1(A,I)) => ( k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,k4_cqc_lang(I,A,K,J)) = k5_numbers & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,k6_cqc_lang(A,F)) = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,F) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,k7_cqc_lang(A,F,G)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,F),k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,G)) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,k11_cqc_lang(A,H,F)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,E,F),1) ) ) ) ) ) ) ) ) ) ) ) => k7_cqc_sim1(A,k6_cqc_lang(A,B)) = k7_cqc_sim1(A,B) ) ) )).
fof(s7_domain_1__e11_79__graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & v6_graph_1(A) & l1_graph_1(A) & m2_finseq_2(B,u4_struct_0(A),k9_graph_3(A)) ) => m1_subset_1(a_2_0_graph_3(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e12_31__jgraph_6,axiom,( m1_subset_1(a_0_0_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s7_domain_1__e13_111__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_8_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e16_111__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_10_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e18_111__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_9_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e1_20__numbers,axiom,( ! [A] : ( ( v3_ordinal1(A) & m1_subset_1(A,k5_arytm_3) ) => m1_subset_1(a_1_0_numbers(A),k1_zfmisc_1(k5_arytm_3)) ) )).
fof(s7_domain_1__e1_23__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_waybel_9(A) & v4_waybel11(B) & m1_yellow_9(B,A) & v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(a_3_4_waybel32(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) )).
fof(s7_domain_1__e1_26__borsuk_6,axiom,( m1_subset_1(a_0_9_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)))) )).
fof(s7_domain_1__e1_27__borsuk_6,axiom,( m1_subset_1(a_0_10_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)))) )).
fof(s7_domain_1__e1_28__borsuk_6,axiom,( m1_subset_1(a_0_11_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)))) )).
fof(s7_domain_1__e1_28__pre_circ,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_trees_1(B,A) ) => m1_subset_1(a_2_3_pre_circ(A,B),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e1_33_2__yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => m1_subset_1(a_4_1_yellow_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e1_33__waybel11,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(a_2_5_waybel11(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(s7_domain_1__e1_37_1_1_2_4__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & m2_subset_1(D,A,C) & m2_subset_1(E,A,C) ) => m1_subset_1(a_5_1_abian(A,B,C,D,E),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(s7_domain_1__e1_42_1__waybel16,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel_8(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) ) => m1_subset_1(a_2_0_waybel16(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e1_43__ami_wstd,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_setfam_1(A) & ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & v5_ami_wstd(C,A,B) ) => m1_subset_1(a_3_2_ami_wstd(A,B,C),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(s7_domain_1__e1_50__yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(C,u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) ) => m1_subset_1(a_3_0_yellow_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e1_5_1_4__ali2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_xreal_0(C) & v7_ordinal1(D) ) => m1_subset_1(a_4_1_ali2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e1_60__bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_subset_1(a_2_2_bvfunc_1(A,B),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e1_61_3__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & ~ v1_xboole_0(C) & m1_subset_1(D,k6_card_fil(A)) & m1_subset_1(E,A) ) => m1_subset_1(a_5_0_card_fil(A,B,C,D,E),k1_zfmisc_1(C)) ) )).
fof(s7_domain_1__e1_61_9_2_1_2_1__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,A) ) => m1_subset_1(a_3_7_card_fil(A,B,C),k1_zfmisc_1(B)) ) )).
fof(s7_domain_1__e1_61__bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_subset_1(a_2_2_bvfunc_1(A,B),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e1_6__bvfunc_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) & m1_subset_1(C,A) ) => m1_subset_1(a_3_0_bvfunc_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(s7_domain_1__e1_7__knaster,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v6_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => m1_subset_1(a_2_4_knaster(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(s7_domain_1__e1_8__knaster,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_setfam_1(A),k9_setfam_1(A)) & v6_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) => m1_subset_1(a_2_5_knaster(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(s7_domain_1__e1_92__group_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,k1_funct_2(B,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,B)))) & m1_subset_1(D,k1_zfmisc_1(B)) ) => m1_subset_1(a_4_4_group_9(A,B,C,D),k1_zfmisc_1(B)) ) )).
fof(s7_domain_1__e24_15_1__tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(a_3_0_tbsp_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e25_91_1__jgraph_6,axiom,( m1_subset_1(a_0_1_jgraph_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s7_domain_1__e2_115__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & v8_yellow_6(B,A) & m4_yellow_6(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_yellow_6(A,B)))) ) => m1_subset_1(a_3_3_yellow_6(A,B,C),k1_zfmisc_1(u1_struct_0(k12_yellow_6(A,B)))) ) )).
fof(s7_domain_1__e2_20__domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(a_1_0_domain_1(A),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e2_26__borsuk_6,axiom,( m1_subset_1(a_0_6_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s7_domain_1__e2_27__borsuk_6,axiom,( m1_subset_1(a_0_0_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s7_domain_1__e2_28__borsuk_6,axiom,( m1_subset_1(a_0_8_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s7_domain_1__e2_28__pre_circ,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & m1_trees_1(B,A) ) => m1_subset_1(a_2_4_pre_circ(A,B),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e2_33_1__group_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(a_2_1_group_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e2_36__borsuk_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => m1_subset_1(a_3_2_borsuk_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).
fof(s7_domain_1__e2_40__sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v1_sprect_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_1_0_sprect_3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e2_44_1__waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => m1_subset_1(a_4_0_waybel_5(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e2_46__sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_1_7_sprect_3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e2_60__bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_subset_1(a_2_3_bvfunc_1(A,B),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e2_61__bvfunc_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => m1_subset_1(a_2_3_bvfunc_1(A,B),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e2_6__jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_0_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e2_85_1__group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => m1_subset_1(a_3_4_group_9(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) )).
fof(s7_domain_1__e2_9__jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_3_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e34_77__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_4_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e35_7_1__uniform1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(a_3_1_uniform1(A,B,C),k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) )).
fof(s7_domain_1__e36_143__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_12_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e36_40__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_0_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e37_37_1_1_2__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) ) => m1_subset_1(a_4_7_abian(A,B,C,D),k1_zfmisc_1(C)) ) )).
fof(s7_domain_1__e37_77__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_6_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e39_143__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_14_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e39_40__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_2_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e39_77__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_5_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e3_116_4_4_3__yellow_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m2_yellow_6(C,A,B) & m1_subset_1(D,u1_struct_0(C)) ) => m1_subset_1(a_4_3_yellow_6(A,B,C,D),k1_zfmisc_1(u1_struct_0(C))) ) )).
fof(s7_domain_1__e3_17__card_lar,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) & v3_ordinal1(B) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(a_3_0_card_lar(A,B,C),k1_zfmisc_1(A)) ) )).
fof(s7_domain_1__e3_40__sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v1_sprect_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_1_2_sprect_3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e3_46__sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_1_8_sprect_3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e3_76__waybel_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(a_2_0_waybel_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e3_82__fib_num2,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) ) => m1_subset_1(a_2_1_fib_num2(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(s7_domain_1__e41_143__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_13_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e41_40__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_1_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e46_37_1_1_2__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) ) => m1_subset_1(a_4_8_abian(A,B,C,D),k1_zfmisc_1(C)) ) )).
fof(s7_domain_1__e47_143__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_15_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e47_40__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_3_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e4_100__compos_1,axiom,( ! [A] : ! [B] : ( ( l1_compos_1(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) ) => m1_subset_1(a_2_3_compos_1(A,B),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(s7_domain_1__e4_14__partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) & m1_subset_1(D,A) ) => m1_subset_1(a_4_1_partit1(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(s7_domain_1__e4_15_1__tbsp_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(a_2_0_tbsp_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e4_44__tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(a_3_0_tbsp_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e4_46_1__msscyc_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & ~ v1_xboole_0(B) ) => m1_subset_1(a_2_1_msscyc_1(A,B),k1_zfmisc_1(B)) ) )).
fof(s7_domain_1__e4_46__sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_1_9_sprect_3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e4_48_1_2_1__dickson,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(a_3_17_dickson(A,B,C),k1_zfmisc_1(B)) ) )).
fof(s7_domain_1__e58_77__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_7_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e5_176__funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) ) => m1_subset_1(a_1_6_funct_7(A),k1_zfmisc_1(k4_ordinal1)) ) )).
fof(s7_domain_1__e5_32__hahnban,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_rlsub_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_hahnban(C,A) & v4_hahnban(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_numbers) & v2_hahnban(D,B) & v3_hahnban(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => m1_subset_1(a_4_0_hahnban(A,B,C,D),k1_zfmisc_1(k4_partfun1(u1_struct_0(A),k1_numbers))) ) )).
fof(s7_domain_1__e5_40__sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v1_sprect_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_1_1_sprect_3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e5_44__tbsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v7_ordinal1(C) ) => m1_subset_1(a_3_3_tbsp_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e5_46__sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_1_10_sprect_3(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e5_6__jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_1_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e5_76__waybel_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => m1_subset_1(a_2_1_waybel_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e5_9__jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_4_jordan6(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e62_111__jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => m1_subset_1(a_1_11_jgraph_4(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s7_domain_1__e6_33__yellow_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_0(A,C)))) ) => m1_subset_1(a_4_0_yellow_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e6_36__jgraph_3,axiom,( m1_subset_1(a_0_2_jgraph_3,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(s7_domain_1__e6_37_1__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & m2_subset_1(D,A,C) ) => m1_subset_1(a_4_5_abian(A,B,C,D),k1_zfmisc_1(C)) ) )).
fof(s7_domain_1__e6_5_1__ali2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & v1_xreal_0(C) ) => m1_subset_1(a_3_0_ali2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e7_20__flang_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) & v7_ordinal1(D) ) => m1_subset_1(a_4_0_flang_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k8_afinsq_1(A)))) ) )).
fof(s7_domain_1__e7_35__waybel16,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(a_3_4_waybel16(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_domain_1__e7_49__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => m1_subset_1(a_2_0_flang_1(A,B),k1_zfmisc_1(k1_zfmisc_1(k3_catalan2(A)))) ) )).
fof(s7_domain_1__e7_71__flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => m1_subset_1(a_2_0_flang_2(A,B),k1_zfmisc_1(k1_zfmisc_1(k8_afinsq_1(A)))) ) )).
fof(s7_domain_1__e8_37_1__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & m2_subset_1(D,A,C) ) => m1_subset_1(a_4_6_abian(A,B,C,D),k1_zfmisc_1(C)) ) )).
fof(s7_domain_1__e8_3__flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) & v7_ordinal1(C) ) => m1_subset_1(a_3_0_flang_3(A,B,C),k1_zfmisc_1(k1_zfmisc_1(k8_afinsq_1(A)))) ) )).
fof(s7_domain_1__e8_49__flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => m1_subset_1(a_2_0_flang_3(A,B),k1_zfmisc_1(k1_zfmisc_1(k8_afinsq_1(A)))) ) )).
fof(s7_domain_1__e9_24_1__graph_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) & ~ v1_xboole_0(B) & m1_subset_1(C,u1_struct_0(A)) ) => m1_subset_1(a_3_6_graph_3(A,B,C),k1_zfmisc_1(B)) ) )).
fof(s7_domain_1__e9_7_1__uniform1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(a_2_0_uniform1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s7_dtconstr__e10_228__abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k5_msafree(A,B))) => ( r2_tarski(C,k1_lang1(k5_msafree(A,B))) => r2_tarski(k2_trees_4(u1_struct_0(k5_msafree(A,B)),C),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k5_msafree(A,B))) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k4_dtconstr(k5_msafree(A,B))) => ( ( r1_lang1(k5_msafree(A,B),C,k1_dtconstr(u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),D)) & ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,u1_struct_0(k5_msafree(A,B))) & v1_funct_1(E) & v3_trees_2(E) ) => ( r2_tarski(E,k10_xtuple_0(D)) => r2_tarski(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) ) ) => r2_tarski(k8_trees_4(u1_struct_0(k5_msafree(A,B)),C,D),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k5_msafree(A,B))) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(k5_msafree(A,B))) => r2_tarski(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) ) ) ) )).
fof(s7_dtconstr__e11_48__msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v1_funcop_1(D) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(A,B))) => ( r2_tarski(E,k1_lang1(k5_msafree(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(k2_trees_4(u1_struct_0(k5_msafree(A,B)),E),k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),F)) => r2_tarski(k1_funct_1(k1_funct_1(D,F),k2_trees_4(u1_struct_0(k5_msafree(A,B)),E)),k1_funct_1(u3_msualg_1(A,C),F)) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k4_dtconstr(k5_msafree(A,B))) => ( ( r1_lang1(k5_msafree(A,B),E,k1_dtconstr(u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),G)) & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,u1_struct_0(k5_msafree(A,B))) & v1_funct_1(H) & v3_trees_2(H) ) => ( r2_tarski(H,k10_xtuple_0(G)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(H,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),I)) => r2_tarski(k1_funct_1(k1_funct_1(D,I),H),k1_funct_1(u3_msualg_1(A,C),I)) ) ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(k8_trees_4(u1_struct_0(k5_msafree(A,B)),E,G),k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),J)) => r2_tarski(k1_funct_1(k1_funct_1(D,J),k8_trees_4(u1_struct_0(k5_msafree(A,B)),E,G)),k1_funct_1(u3_msualg_1(A,C),J)) ) ) ) ) ) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,u1_struct_0(k5_msafree(A,B))) & v1_funct_1(E) & v3_trees_2(E) ) => ( r2_tarski(E,k4_dtconstr(k5_msafree(A,B))) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(E,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),K)) => r2_tarski(k1_funct_1(k1_funct_1(D,K),E),k1_funct_1(u3_msualg_1(A,C),K)) ) ) ) ) ) ) )).
fof(s7_dtconstr__e12_78__osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & v13_osalg_1(C,A) & l3_msualg_1(C,A) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v1_funcop_1(D) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(E,k1_lang1(k2_osafree(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),E),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),F)) => r2_tarski(k1_funct_1(k1_funct_1(D,F),k2_trees_4(u1_struct_0(k2_osafree(A,B)),E)),k1_funct_1(u3_msualg_1(A,C),F)) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_osafree(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),E,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),G)) & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(H) & v3_trees_2(H) ) => ( r2_tarski(H,k10_xtuple_0(G)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_tarski(H,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),I)) => r2_tarski(k1_funct_1(k1_funct_1(D,I),H),k1_funct_1(u3_msualg_1(A,C),I)) ) ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),E,G),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),J)) => r2_tarski(k1_funct_1(k1_funct_1(D,J),k8_trees_4(u1_struct_0(k2_osafree(A,B)),E,G)),k1_funct_1(u3_msualg_1(A,C),J)) ) ) ) ) ) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(E) & v3_trees_2(E) ) => ( r2_tarski(E,k4_dtconstr(k2_osafree(A,B))) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_tarski(E,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),K)) => r2_tarski(k1_funct_1(k1_funct_1(D,K),E),k1_funct_1(u3_msualg_1(A,C),K)) ) ) ) ) ) ) )).
fof(s7_dtconstr__e3_41__dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & v2_dtconstr(A) & l1_lang1(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k1_lang1(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k7_dtconstr(A)) => ~ ( k1_funct_1(k2_trees_4(u1_struct_0(A),B),k1_xboole_0) = C & ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ~ ( k2_trees_4(u1_struct_0(A),B) = k8_trees_4(u1_struct_0(A),C,D) & r1_lang1(A,C,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),D)) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [E] : ( m1_trees_4(E,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ( ( r1_lang1(A,B,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),E)) & ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,u1_struct_0(A)) & v1_funct_1(F) & v3_trees_2(F) ) => ( r2_tarski(F,k10_xtuple_0(E)) => ! [G] : ( m2_subset_1(G,u1_struct_0(A),k7_dtconstr(A)) => ~ ( k1_funct_1(F,k1_xboole_0) = G & ! [H] : ( m1_trees_4(H,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ~ ( F = k8_trees_4(u1_struct_0(A),G,H) & r1_lang1(A,G,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),H)) ) ) ) ) ) ) ) => ! [I] : ( m2_subset_1(I,u1_struct_0(A),k7_dtconstr(A)) => ~ ( k1_funct_1(k8_trees_4(u1_struct_0(A),B,E),k1_xboole_0) = I & ! [J] : ( m1_trees_4(J,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ~ ( k8_trees_4(u1_struct_0(A),B,E) = k8_trees_4(u1_struct_0(A),I,J) & r1_lang1(A,I,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),J)) ) ) ) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(B,k4_dtconstr(A)) => ! [K] : ( m2_subset_1(K,u1_struct_0(A),k7_dtconstr(A)) => ~ ( k1_funct_1(B,k1_xboole_0) = K & ! [L] : ( m1_trees_4(L,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ~ ( B = k8_trees_4(u1_struct_0(A),K,L) & r1_lang1(A,K,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),L)) ) ) ) ) ) ) ) ) )).
fof(s7_dtconstr__e3_48__dtconstr,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ( r2_tarski(A,k1_lang1(k5_dtconstr)) => k2_trees_4(u1_struct_0(k5_dtconstr),A) = k1_funct_1(k14_dtconstr,k1_funct_1(k12_dtconstr,k2_trees_4(u1_struct_0(k5_dtconstr),A))) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ! [B] : ( m1_trees_4(B,k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => ( ( r1_lang1(k5_dtconstr,A,k1_dtconstr(u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),B)) & ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k5_dtconstr)) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k10_xtuple_0(B)) => C = k1_funct_1(k14_dtconstr,k1_funct_1(k12_dtconstr,C)) ) ) ) => k8_trees_4(u1_struct_0(k5_dtconstr),A,B) = k1_funct_1(k14_dtconstr,k1_funct_1(k12_dtconstr,k8_trees_4(u1_struct_0(k5_dtconstr),A,B))) ) ) ) ) => ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,u1_struct_0(k5_dtconstr)) & v1_funct_1(A) & v3_trees_2(A) ) => ( r2_tarski(A,k4_dtconstr(k5_dtconstr)) => A = k1_funct_1(k14_dtconstr,k1_funct_1(k12_dtconstr,A)) ) ) )).
fof(s7_dtconstr__e3_49__osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(C,k1_lang1(k2_osafree(A,B))) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),D)) <=> r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_hidden(k4_tarski(E,D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) => r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),E)) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),F)) & ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(G) & v3_trees_2(G) ) => ( r2_tarski(G,k10_xtuple_0(F)) => ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(G,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),H)) <=> r2_hidden(k4_tarski(G,H),k1_funct_1(k19_osafree(A,B),G)) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_dtconstr(I,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_hidden(k4_tarski(I,H),k1_funct_1(k19_osafree(A,B),G)) => r2_hidden(k4_tarski(G,H),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),I)) ) ) ) ) ) ) ) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( r2_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),J)) <=> r2_hidden(k4_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F),J),k1_funct_1(k19_osafree(A,B),k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F))) ) ) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_dtconstr(K,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_hidden(k4_tarski(K,J),k1_funct_1(k19_osafree(A,B),k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F))) => r2_hidden(k4_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F),J),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),K)) ) ) ) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(k2_osafree(A,B))) => ( ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),L)) <=> r2_hidden(k4_tarski(C,L),k1_funct_1(k19_osafree(A,B),C)) ) ) & ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_dtconstr(M,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_hidden(k4_tarski(M,L),k1_funct_1(k19_osafree(A,B),C)) => r2_hidden(k4_tarski(C,L),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),M)) ) ) ) ) ) ) ) ) )).
fof(s7_dtconstr__e3_50__osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(C,k1_lang1(k2_osafree(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ? [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & r2_hidden(k4_tarski(E,D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) ) => r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),F)) & ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(G) & v3_trees_2(G) ) => ( r2_tarski(G,k10_xtuple_0(F)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ? [I] : ( m1_dtconstr(I,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & r2_hidden(k4_tarski(I,H),k1_funct_1(k19_osafree(A,B),G)) ) => r2_hidden(k4_tarski(G,H),k1_funct_1(k19_osafree(A,B),G)) ) ) ) ) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ? [K] : ( m1_dtconstr(K,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & r2_hidden(k4_tarski(K,J),k1_funct_1(k19_osafree(A,B),k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F))) ) => r2_hidden(k4_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F),J),k1_funct_1(k19_osafree(A,B),k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F))) ) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(k2_osafree(A,B))) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ? [M] : ( m1_dtconstr(M,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & r2_hidden(k4_tarski(M,L),k1_funct_1(k19_osafree(A,B),C)) ) => r2_hidden(k4_tarski(C,L),k1_funct_1(k19_osafree(A,B),C)) ) ) ) ) ) ) )).
fof(s7_dtconstr__e3_51__osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(C,k1_lang1(k2_osafree(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r3_orders_2(A,D,E) & r2_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),D)) & r2_tarski(F,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),D)) ) => ( r2_hidden(k4_tarski(F,D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) <=> r2_hidden(k4_tarski(F,E),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) ) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),G)) & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(H) & v3_trees_2(H) ) => ( r2_tarski(H,k10_xtuple_0(G)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_dtconstr(K,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r3_orders_2(A,I,J) & r2_tarski(H,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),I)) & r2_tarski(K,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),I)) ) => ( r2_hidden(k4_tarski(K,I),k1_funct_1(k19_osafree(A,B),H)) <=> r2_hidden(k4_tarski(K,J),k1_funct_1(k19_osafree(A,B),H)) ) ) ) ) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( m1_dtconstr(N,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r3_orders_2(A,L,M) & r2_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,G),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),L)) & r2_tarski(N,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),L)) ) => ( r2_hidden(k4_tarski(N,L),k1_funct_1(k19_osafree(A,B),k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,G))) <=> r2_hidden(k4_tarski(N,M),k1_funct_1(k19_osafree(A,B),k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,G))) ) ) ) ) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(k2_osafree(A,B))) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ! [Q] : ( m1_dtconstr(Q,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r3_orders_2(A,O,P) & r2_tarski(C,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),O)) & r2_tarski(Q,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),O)) ) => ( r2_hidden(k4_tarski(Q,O),k1_funct_1(k19_osafree(A,B),C)) <=> r2_hidden(k4_tarski(Q,P),k1_funct_1(k19_osafree(A,B),C)) ) ) ) ) ) ) ) ) ) )).
fof(s7_dtconstr__e3_52__osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(C,k1_lang1(k2_osafree(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r2_hidden(k4_tarski(E,D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) & r2_hidden(k4_tarski(F,D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),E)) ) => r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),F)) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),G)) & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(H) & v3_trees_2(H) ) => ( r2_tarski(H,k10_xtuple_0(G)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_dtconstr(J,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [K] : ( m1_dtconstr(K,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r2_hidden(k4_tarski(J,I),k1_funct_1(k19_osafree(A,B),H)) & r2_hidden(k4_tarski(K,I),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),J)) ) => r2_hidden(k4_tarski(H,I),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),K)) ) ) ) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ! [M] : ( m1_dtconstr(M,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [N] : ( m1_dtconstr(N,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r2_hidden(k4_tarski(M,L),k1_funct_1(k19_osafree(A,B),k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,G))) & r2_hidden(k4_tarski(N,L),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),M)) ) => r2_hidden(k4_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,G),L),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),N)) ) ) ) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(k2_osafree(A,B))) => ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ! [P] : ( m1_dtconstr(P,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [Q] : ( m1_dtconstr(Q,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r2_hidden(k4_tarski(P,O),k1_funct_1(k19_osafree(A,B),C)) & r2_hidden(k4_tarski(Q,O),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),P)) ) => r2_hidden(k4_tarski(C,O),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),Q)) ) ) ) ) ) ) ) ) )).
fof(s7_dtconstr__e3_85__osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(C,k1_lang1(k2_osafree(A,B))) => ? [D] : ( m1_dtconstr(D,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & D = k2_trees_4(u1_struct_0(k2_osafree(A,B)),C) & r2_tarski(k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),D),k25_osafree(A,B,k20_osafree(A,B),D)) & r3_orders_2(A,k10_osafree(A,B,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),D)),k10_osafree(A,B,D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( r2_tarski(F,k1_funct_1(B,E)) & D = k1_trees_4(k4_tarski(F,E)) ) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),D) = D ) ) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),k9_osafree(A,B,E),k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),F)) & D = k8_trees_4(u1_struct_0(k2_osafree(A,B)),k9_osafree(A,B,E),F) ) => ( r2_osalg_1(A,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),F,k29_osafree(A,B))),k1_msualg_1(A,E)) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,E),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),F,k29_osafree(A,B)))) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,k2_osalg_1(A,E,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),F,k29_osafree(A,B))))),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),F,k29_osafree(A,B)))) & k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),D) = k4_trees_4(k9_osafree(A,B,k2_osalg_1(A,E,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),F,k29_osafree(A,B))))),k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),F,k29_osafree(A,B))) ) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),G)) & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(H) & v3_trees_2(H) ) => ( r2_tarski(H,k10_xtuple_0(G)) => ? [I] : ( m1_dtconstr(I,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & I = H & r2_tarski(k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),I),k25_osafree(A,B,k20_osafree(A,B),I)) & r3_orders_2(A,k10_osafree(A,B,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),I)),k10_osafree(A,B,I)) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( r2_tarski(K,k1_funct_1(B,J)) & I = k1_trees_4(k4_tarski(K,J)) ) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),I) = I ) ) & ! [J] : ( m1_subset_1(J,u4_struct_0(A)) => ! [K] : ( m1_trees_4(K,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),k9_osafree(A,B,J),k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),K)) & I = k8_trees_4(u1_struct_0(k2_osafree(A,B)),k9_osafree(A,B,J),K) ) => ( r2_osalg_1(A,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),K,k29_osafree(A,B))),k1_msualg_1(A,J)) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,J),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),K,k29_osafree(A,B)))) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,k2_osalg_1(A,J,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),K,k29_osafree(A,B))))),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),K,k29_osafree(A,B)))) & k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),I) = k4_trees_4(k9_osafree(A,B,k2_osalg_1(A,J,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),K,k29_osafree(A,B))))),k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),K,k29_osafree(A,B))) ) ) ) ) ) ) ) ) => ? [L] : ( m1_dtconstr(L,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & L = k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,G) & r2_tarski(k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),L),k25_osafree(A,B,k20_osafree(A,B),L)) & r3_orders_2(A,k10_osafree(A,B,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),L)),k10_osafree(A,B,L)) & ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ! [N] : ( ( r2_tarski(N,k1_funct_1(B,M)) & L = k1_trees_4(k4_tarski(N,M)) ) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),L) = L ) ) & ! [M] : ( m1_subset_1(M,u4_struct_0(A)) => ! [N] : ( m1_trees_4(N,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),k9_osafree(A,B,M),k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),N)) & L = k8_trees_4(u1_struct_0(k2_osafree(A,B)),k9_osafree(A,B,M),N) ) => ( r2_osalg_1(A,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),N,k29_osafree(A,B))),k1_msualg_1(A,M)) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,M),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),N,k29_osafree(A,B)))) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,k2_osalg_1(A,M,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),N,k29_osafree(A,B))))),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),N,k29_osafree(A,B)))) & k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),L) = k4_trees_4(k9_osafree(A,B,k2_osalg_1(A,M,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),N,k29_osafree(A,B))))),k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),N,k29_osafree(A,B))) ) ) ) ) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(k2_osafree(A,B))) => ? [O] : ( m1_dtconstr(O,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & O = C & r2_tarski(k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),O),k25_osafree(A,B,k20_osafree(A,B),O)) & r3_orders_2(A,k10_osafree(A,B,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),O)),k10_osafree(A,B,O)) & ! [P] : ( m1_subset_1(P,u1_struct_0(A)) => ! [Q] : ( ( r2_tarski(Q,k1_funct_1(B,P)) & O = k1_trees_4(k4_tarski(Q,P)) ) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),O) = O ) ) & ! [P] : ( m1_subset_1(P,u4_struct_0(A)) => ! [Q] : ( m1_trees_4(Q,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),k9_osafree(A,B,P),k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),Q)) & O = k8_trees_4(u1_struct_0(k2_osafree(A,B)),k9_osafree(A,B,P),Q) ) => ( r2_osalg_1(A,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),Q,k29_osafree(A,B))),k1_msualg_1(A,P)) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,P),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),Q,k29_osafree(A,B)))) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,k2_osalg_1(A,P,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),Q,k29_osafree(A,B))))),k15_trees_3(k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),Q,k29_osafree(A,B)))) & k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),O) = k4_trees_4(k9_osafree(A,B,k2_osalg_1(A,P,k11_osafree(A,B,k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),Q,k29_osafree(A,B))))),k11_lang1(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),Q,k29_osafree(A,B))) ) ) ) ) ) ) ) ) ) )).
fof(s7_dtconstr__e3_86__osafree,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(C,k1_lang1(k2_osafree(A,B))) => ? [D] : ( m1_dtconstr(D,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & D = k2_trees_4(u1_struct_0(k2_osafree(A,B)),C) & ! [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_tarski(E,k25_osafree(A,B,k20_osafree(A,B),D)) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),E) = k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),D) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),F)) & ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(G) & v3_trees_2(G) ) => ( r2_tarski(G,k10_xtuple_0(F)) => ? [H] : ( m1_dtconstr(H,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & H = G & ! [I] : ( m1_dtconstr(I,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_tarski(I,k25_osafree(A,B,k20_osafree(A,B),H)) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),I) = k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),H) ) ) ) ) ) ) => ? [J] : ( m1_dtconstr(J,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & J = k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,F) & ! [K] : ( m1_dtconstr(K,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_tarski(K,k25_osafree(A,B,k20_osafree(A,B),J)) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),K) = k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),J) ) ) ) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(k2_osafree(A,B))) => ? [L] : ( m1_dtconstr(L,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & L = C & ! [M] : ( m1_dtconstr(M,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_tarski(M,k25_osafree(A,B,k20_osafree(A,B),L)) => k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),M) = k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),L) ) ) ) ) ) ) ) )).
fof(s7_dtconstr__e4_40__dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & l1_lang1(A) ) => ( ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k1_lang1(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k6_dtconstr(A)) => ( k1_funct_1(k2_trees_4(u1_struct_0(A),B),k1_xboole_0) = C => k2_trees_4(u1_struct_0(A),B) = k8_dtconstr(A,C) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ( ( r1_lang1(A,B,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),D)) & ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v3_trees_2(E) ) => ( r2_tarski(E,k10_xtuple_0(D)) => ! [F] : ( m2_subset_1(F,u1_struct_0(A),k6_dtconstr(A)) => ( k1_funct_1(E,k1_xboole_0) = F => E = k8_dtconstr(A,F) ) ) ) ) ) => ! [G] : ( m2_subset_1(G,u1_struct_0(A),k6_dtconstr(A)) => ( k1_funct_1(k8_trees_4(u1_struct_0(A),B,D),k1_xboole_0) = G => k8_trees_4(u1_struct_0(A),B,D) = k8_dtconstr(A,G) ) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(B,k4_dtconstr(A)) => ! [H] : ( m2_subset_1(H,u1_struct_0(A),k6_dtconstr(A)) => ( k1_funct_1(B,k1_xboole_0) = H => B = k8_dtconstr(A,H) ) ) ) ) ) ) )).
fof(s7_dtconstr__e4_89__osafree,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v2_msualg_4(C,A,k8_osafree(A,B)) & v3_osalg_4(C,A,k8_osafree(A,B)) & m1_osalg_4(C,A,k8_osafree(A,B)) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(D,k1_lang1(k2_osafree(A,B))) => ? [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & E = k2_trees_4(u1_struct_0(k2_osafree(A,B)),D) & r2_hidden(k4_tarski(E,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),E)),k2_msualg_4(A,k8_osafree(A,B),C,k10_osafree(A,B,E))) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B))) => ! [F] : ( m1_trees_4(F,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),D,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),F)) & ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(G) & v3_trees_2(G) ) => ( r2_tarski(G,k10_xtuple_0(F)) => ? [H] : ( m1_dtconstr(H,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & H = G & r2_hidden(k4_tarski(H,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),H)),k2_msualg_4(A,k8_osafree(A,B),C,k10_osafree(A,B,H))) ) ) ) ) => ? [I] : ( m1_dtconstr(I,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & I = k8_trees_4(u1_struct_0(k2_osafree(A,B)),D,F) & r2_hidden(k4_tarski(I,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),I)),k2_msualg_4(A,k8_osafree(A,B),C,k10_osafree(A,B,I))) ) ) ) ) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(D) & v3_trees_2(D) ) => ( r2_tarski(D,k4_dtconstr(k2_osafree(A,B))) => ? [J] : ( m1_dtconstr(J,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & J = D & r2_hidden(k4_tarski(J,k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k4_dtconstr(k2_osafree(A,B)),k29_osafree(A,B),J)),k2_msualg_4(A,k8_osafree(A,B),C,k10_osafree(A,B,J))) ) ) ) ) ) )).
fof(s7_dtconstr__e7_217__abcmiz_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_lang1(A) & ~ v2_struct_0(B) & l1_lang1(B) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_lang1(A)) => r2_tarski(k2_trees_4(u1_struct_0(A),C),k4_dtconstr(B)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ( ( r1_lang1(A,C,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),D)) & ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,u1_struct_0(A)) & v1_funct_1(E) & v3_trees_2(E) ) => ( r2_tarski(E,k10_xtuple_0(D)) => r2_tarski(E,k4_dtconstr(B)) ) ) ) => r2_tarski(k8_trees_4(u1_struct_0(A),C,D),k4_dtconstr(B)) ) ) ) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k4_dtconstr(A)) => r2_tarski(C,k4_dtconstr(B)) ) ) ) ) )).
fof(s7_dtconstr__e7_54__dtconstr,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ( r2_tarski(A,k1_lang1(k5_dtconstr)) => k15_dtconstr(k5_dtconstr,k2_trees_4(u1_struct_0(k5_dtconstr),A)) = k3_pre_poly(k4_ordinal1,k5_numbers) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ! [B] : ( m1_trees_4(B,k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => ( ( r1_lang1(k5_dtconstr,A,k1_dtconstr(u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),B)) & ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,u1_struct_0(k5_dtconstr)) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(C,k10_xtuple_0(B)) => k15_dtconstr(k5_dtconstr,C) = k3_pre_poly(k4_ordinal1,k5_numbers) ) ) ) => k15_dtconstr(k5_dtconstr,k8_trees_4(u1_struct_0(k5_dtconstr),A,B)) = k3_pre_poly(k4_ordinal1,k5_numbers) ) ) ) ) => ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,u1_struct_0(k5_dtconstr)) & v1_funct_1(A) & v3_trees_2(A) ) => ( r2_tarski(A,k4_dtconstr(k5_dtconstr)) => k15_dtconstr(k5_dtconstr,A) = k3_pre_poly(k4_ordinal1,k5_numbers) ) ) )).
fof(s7_dtconstr__e7_57_1__osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B))) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(E,k1_lang1(k2_osafree(A,B))) => ! [F] : ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),E),F),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),C,G)) <=> r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),E),F),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),D,G)) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_osafree(A,B))) => ! [H] : ( m1_trees_4(H,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ( r1_lang1(k2_osafree(A,B),E,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),H)) & ! [I] : ( ( v1_relat_1(I) & v5_relat_1(I,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(I) & v3_trees_2(I) ) => ( r2_tarski(I,k10_xtuple_0(H)) => ! [J] : ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( r2_hidden(k4_tarski(I,J),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),C,K)) <=> r2_hidden(k4_tarski(I,J),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),D,K)) ) ) ) ) ) => ! [L] : ! [M] : ( m1_subset_1(M,u1_struct_0(A)) => ( r2_hidden(k4_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),E,H),L),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),C,M)) <=> r2_hidden(k4_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),E,H),L),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),D,M)) ) ) ) ) ) ) => ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,u1_struct_0(k2_osafree(A,B))) & v1_funct_1(E) & v3_trees_2(E) ) => ( r2_tarski(E,k4_dtconstr(k2_osafree(A,B))) => ! [N] : ! [O] : ( m1_subset_1(O,u1_struct_0(A)) => ( r2_hidden(k4_tarski(E,N),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),C,O)) <=> r2_hidden(k4_tarski(E,N),k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,k8_osafree(A,B)),u3_msualg_1(A,k8_osafree(A,B)),D,O)) ) ) ) ) ) ) )).
fof(s7_dtconstr__e8_56__dtconstr,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ( r2_tarski(A,k1_lang1(k5_dtconstr)) => ? [B] : ( m1_dtconstr(B,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & k2_trees_4(u1_struct_0(k5_dtconstr),A) = B & k16_dtconstr(k5_dtconstr,B) = k8_finseq_1(k4_ordinal1,k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(B)),1),k3_pre_poly(k4_ordinal1,k5_numbers)) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ! [C] : ( m1_trees_4(C,k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => ( ( r1_lang1(k5_dtconstr,A,k1_dtconstr(u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),C)) & ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,u1_struct_0(k5_dtconstr)) & v1_funct_1(D) & v3_trees_2(D) ) => ( r2_tarski(D,k10_xtuple_0(C)) => ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & D = E & k16_dtconstr(k5_dtconstr,E) = k8_finseq_1(k4_ordinal1,k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(E)),1),k3_pre_poly(k4_ordinal1,k5_numbers)) ) ) ) ) => ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & k8_trees_4(u1_struct_0(k5_dtconstr),A,C) = F & k16_dtconstr(k5_dtconstr,F) = k8_finseq_1(k4_ordinal1,k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(F)),1),k3_pre_poly(k4_ordinal1,k5_numbers)) ) ) ) ) ) => ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,u1_struct_0(k5_dtconstr)) & v1_funct_1(A) & v3_trees_2(A) ) => ( r2_tarski(A,k4_dtconstr(k5_dtconstr)) => ? [G] : ( m1_dtconstr(G,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & A = G & k16_dtconstr(k5_dtconstr,G) = k8_finseq_1(k4_ordinal1,k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(G)),1),k3_pre_poly(k4_ordinal1,k5_numbers)) ) ) ) )).
fof(s7_dtconstr__e8_58__dtconstr,axiom,( ( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ( r2_tarski(A,k1_lang1(k5_dtconstr)) => ? [B] : ( m1_dtconstr(B,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & k2_trees_4(u1_struct_0(k5_dtconstr),A) = B & k17_dtconstr(k5_dtconstr,B) = k8_finseq_1(k4_ordinal1,k3_pre_poly(k4_ordinal1,k5_numbers),k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(B)),1)) ) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => ! [C] : ( m1_trees_4(C,k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => ( ( r1_lang1(k5_dtconstr,A,k1_dtconstr(u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),C)) & ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,u1_struct_0(k5_dtconstr)) & v1_funct_1(D) & v3_trees_2(D) ) => ( r2_tarski(D,k10_xtuple_0(C)) => ? [E] : ( m1_dtconstr(E,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & D = E & k17_dtconstr(k5_dtconstr,E) = k8_finseq_1(k4_ordinal1,k3_pre_poly(k4_ordinal1,k5_numbers),k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(E)),1)) ) ) ) ) => ? [F] : ( m1_dtconstr(F,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & k8_trees_4(u1_struct_0(k5_dtconstr),A,C) = F & k17_dtconstr(k5_dtconstr,F) = k8_finseq_1(k4_ordinal1,k3_pre_poly(k4_ordinal1,k5_numbers),k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(F)),1)) ) ) ) ) ) => ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,u1_struct_0(k5_dtconstr)) & v1_funct_1(A) & v3_trees_2(A) ) => ( r2_tarski(A,k4_dtconstr(k5_dtconstr)) => ? [G] : ( m1_dtconstr(G,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) & A = G & k17_dtconstr(k5_dtconstr,G) = k8_finseq_1(k4_ordinal1,k3_pre_poly(k4_ordinal1,k5_numbers),k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(G)),1)) ) ) ) )).
fof(s7_fraenkel__e22_144__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => ! [E] : ( m1_subset_1(E,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,D,E)),k1_numbers) = k20_seq_4(k17_seq_4(A,D,E)) ) ) => a_3_15_seq_4(A,B,C) = a_3_16_seq_4(A,B,C) ) ) )).
fof(s7_fraenkel__e2_142__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => ! [E] : ( m1_subset_1(E,k12_seq_4(A)) => k20_seq_4(k17_seq_4(A,D,E)) = k10_subset_1(k20_seq_4(k17_seq_4(A,D,E)),k1_numbers) ) ) => a_3_16_seq_4(A,B,C) = a_3_15_seq_4(A,B,C) ) ) )).
fof(s7_fraenkel__e2_60_4__lfuzzy_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)))) => k6_lfuzzy_0(k2_zfmisc_1(A,A),k3_fuzzy_4(A,A,A,k5_lfuzzy_0(k2_zfmisc_1(A,A),C),k5_lfuzzy_0(k2_zfmisc_1(A,A),D))) = k3_fuzzy_4(A,A,A,k5_lfuzzy_0(k2_zfmisc_1(A,A),C),k5_lfuzzy_0(k2_zfmisc_1(A,A),D)) ) ) => a_2_5_lfuzzy_1(A,B) = a_2_4_lfuzzy_1(A,B) ) ) )).
fof(s7_fraenkel__e5_143__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => ! [E] : ( m1_subset_1(E,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,D,E)),k1_numbers) = k20_seq_4(k17_seq_4(A,D,E)) ) ) => a_3_17_seq_4(A,B,C) = a_3_18_seq_4(A,B,C) ) ) )).
fof(s7_fraenkel__e6_143__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => ( ! [D] : ( m1_subset_1(D,k12_seq_4(A)) => ! [E] : ( m1_subset_1(E,k12_seq_4(A)) => k10_subset_1(k20_seq_4(k17_seq_4(A,D,E)),k1_numbers) = k20_seq_4(k17_seq_4(A,D,E)) ) ) => a_3_15_seq_4(A,B,C) = a_3_16_seq_4(A,B,C) ) ) )).
fof(s7_funct_2__e2_19_3_1_1_2__vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( C != D => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C) = k5_struct_0(A) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D) = k5_struct_0(A) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( F != C & F != D & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) != k4_struct_0(A) ) ) ) ) ) )).
fof(s7_funct_2__e2_21_2_1_2__rlvect_x,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_numbers) & m1_subset_1(E,k1_numbers) ) => ( B != C => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,F,B) = D & k3_funct_2(u1_struct_0(A),k1_numbers,F,C) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( G != B & G != C & k3_funct_2(u1_struct_0(A),k1_numbers,F,G) != k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) )).
fof(s7_funct_2__e2_22_3_1__convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( B != C => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) & k3_funct_2(u1_struct_0(A),k2_numbers,D,B) = k6_complex1 & k3_funct_2(u1_struct_0(A),k2_numbers,D,C) = k6_complex1 & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( E != B & E != C & k3_funct_2(u1_struct_0(A),k2_numbers,D,E) != k5_complex1 ) ) ) ) ) )).
fof(s7_funct_2__e2_36_3_1_1_2__rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) ) => ( C != D => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C) = k1_group_1(A) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D) = k1_group_1(A) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( F != C & F != D & k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) != k4_struct_0(A) ) ) ) ) ) )).
fof(s7_funct_2__e2_3_1__rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_numbers) & m1_subset_1(E,k1_numbers) & m1_subset_1(F,k1_numbers) ) => ( B != C => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,G,B) = E & k3_funct_2(u1_struct_0(A),k1_numbers,G,C) = F & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( H != B & H != C & k3_funct_2(u1_struct_0(A),k1_numbers,G,H) != D ) ) ) ) ) )).
fof(s7_funct_2__e3_15_2_1_2__rlvect_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_numbers) & m1_subset_1(F,k1_numbers) ) => ( C != D => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,G,C) = E & k3_funct_2(u1_struct_0(B),k1_numbers,G,D) = F & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( H != C & H != D & k3_funct_2(u1_struct_0(B),k1_numbers,G,H) != A ) ) ) ) ) )).
fof(s7_funct_2__e3_39_3_1_1_2__rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_numbers) ) => ( C != D => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,F,C) = E & k3_funct_2(u1_struct_0(B),k1_numbers,F,D) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G != C & G != D & k3_funct_2(u1_struct_0(B),k1_numbers,F,G) != A ) ) ) ) ) )).
fof(s7_funct_2__e3_40_2_1_2__rusub_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k1_numbers) & m1_subset_1(E,k1_numbers) ) => ( B != C => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & k3_funct_2(u1_struct_0(A),k1_numbers,F,B) = D & k3_funct_2(u1_struct_0(A),k1_numbers,F,C) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( G != B & G != C & k3_funct_2(u1_struct_0(A),k1_numbers,F,G) != k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) )).
fof(s7_funct_2__e4_13_1__mod_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(A)) ) => ( C != D => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,C) = k4_algstr_0(A,k5_struct_0(A)) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G != C & G != D & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) != k4_struct_0(A) ) ) ) ) ) )).
fof(s7_funct_2__e4_43_3_1_1_2__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_numbers) & m1_subset_1(E,k4_numbers) ) => ( B != C => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,F,B) = E & k3_funct_2(u1_struct_0(A),k4_numbers,F,C) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( G != B & G != C & k3_funct_2(u1_struct_0(A),k4_numbers,F,G) != D ) ) ) ) ) )).
fof(s7_funct_2__e4_9_1__vectsp_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(A)) ) => ( C != D => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,C) = k4_algstr_0(A,k1_group_1(A)) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G != C & G != D & k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,G) != k4_struct_0(A) ) ) ) ) ) )).
fof(s7_funct_2__e5_142_1_2__matrix13,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(A)) & m1_subset_1(F,u1_struct_0(A)) ) => ( C != D => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k3_funct_2(u1_struct_0(B),u1_struct_0(A),G,C) = E & k3_funct_2(u1_struct_0(B),u1_struct_0(A),G,D) = F & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( H != C & H != D & k3_funct_2(u1_struct_0(B),u1_struct_0(A),G,H) != k4_struct_0(A) ) ) ) ) ) )).
fof(s7_funct_2__e5_14_1__rlvect_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_subset_1(A,k1_numbers) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,k1_numbers) ) => ( C != D => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) & k3_funct_2(u1_struct_0(B),k1_numbers,F,C) = k1_real_1(A) & k3_funct_2(u1_struct_0(B),k1_numbers,F,D) = E & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( G != C & G != D & k3_funct_2(u1_struct_0(B),k1_numbers,F,G) != k10_subset_1(k5_numbers,k1_numbers) ) ) ) ) ) )).
fof(s7_funct_2__e8_100_1__zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_numbers) & m1_subset_1(E,k4_numbers) & m1_subset_1(F,k4_numbers) ) => ( B != C => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k4_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) & k3_funct_2(u1_struct_0(A),k4_numbers,G,B) = F & k3_funct_2(u1_struct_0(A),k4_numbers,G,C) = E & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( H != B & H != C & k3_funct_2(u1_struct_0(A),k4_numbers,G,H) != D ) ) ) ) ) )).
fof(s7_funct_7__e4_57__scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v7_ordinal1(B) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) ) => ( ( k1_sf_mastr(D) = k1_sf_mastr(C) & D = k1_funct_1(A,B) ) => a_1_3_scmfsa_9(A) = a_3_2_scmfsa_9(A,B,C) ) ) )).
fof(s7_funct_7__e4_58__scmfsa_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v7_ordinal1(B) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) & m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) ) => ( ( k4_sf_mastr(D) = k4_sf_mastr(C) & D = k1_funct_1(A,B) ) => a_1_4_scmfsa_9(A) = a_3_3_scmfsa_9(A,B,C) ) ) )).
fof(s7_int_1__e11_121__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(D,u1_struct_0(A)) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k5_numbers),B) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k5_numbers),C) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),B) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),C) ) => ( r1_xxreal_0(k3_finseq_1(D),F) | ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k1_nat_1(F,1)),B) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k1_nat_1(F,1)),C) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(D)) ) => ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),B) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),C) ) ) ) ) ) )).
fof(s7_int_1__e11_122_1__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(D) & v3_ideal_1(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(E,u1_struct_0(A)) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),F,k5_numbers) = k3_rlvect_1(A,G,H) & r2_tarski(G,k14_ideal_1(A,B,C)) & r2_tarski(H,k14_ideal_1(A,B,D)) ) ) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,I) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),F,I) = k3_rlvect_1(A,J,K) & r2_tarski(J,k14_ideal_1(A,B,C)) & r2_tarski(K,k14_ideal_1(A,B,D)) ) ) ) => ( r1_xxreal_0(k3_finseq_1(E),I) | ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),F,k1_nat_1(I,1)) = k3_rlvect_1(A,L,M) & r2_tarski(L,k14_ideal_1(A,B,C)) & r2_tarski(M,k14_ideal_1(A,B,D)) ) ) ) ) ) ) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,I) & r1_xxreal_0(I,k3_finseq_1(E)) ) => ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & ? [O] : ( m1_subset_1(O,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),F,I) = k3_rlvect_1(A,N,O) & r2_tarski(N,k14_ideal_1(A,B,C)) & r2_tarski(O,k14_ideal_1(A,B,D)) ) ) ) ) ) ) )).
fof(s7_int_1__e11_124__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(D,u1_struct_0(A)) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k5_numbers),k13_ideal_1(A,B,C)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k13_ideal_1(A,B,C)) ) => ( r1_xxreal_0(k3_finseq_1(D),F) | r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k1_nat_1(F,1)),k13_ideal_1(A,B,C)) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(D)) ) => r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k13_ideal_1(A,B,C)) ) ) ) ) )).
fof(s7_int_1__e11_133__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k5_numbers),B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),B) ) => ( r1_xxreal_0(k3_finseq_1(C),E) | r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k1_nat_1(E,1)),B) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),B) ) ) ) ) )).
fof(s7_int_1__e11_134__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k5_numbers),B) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),B) ) => ( r1_xxreal_0(k3_finseq_1(C),E) | r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k1_nat_1(E,1)),B) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),D,E),B) ) ) ) ) )).
fof(s7_int_1__e11_47__int_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) & v1_int_1(B) & v1_int_1(C) ) => ( ( ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k4_numbers) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finseq_1(D) & v1_partfun3(D) & v1_int_6(D) ) => ( D = k16_finseq_1(k5_numbers,A) => r2_int_1(B,C,k19_rvsum_1(D)) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_numbers) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finseq_1(F) & v1_partfun3(F) & v1_int_6(F) ) => ( F = k16_finseq_1(E,A) => r2_int_1(B,C,k19_rvsum_1(F)) ) ) ) => ( r1_xxreal_0(k3_finseq_1(A),E) | ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,k4_numbers) & v1_funct_1(G) & ~ v1_xboole_0(G) & v1_finseq_1(G) & v1_partfun3(G) & v1_int_6(G) ) => ( G = k16_finseq_1(k1_nat_1(E,1),A) => r2_int_1(B,C,k19_rvsum_1(G)) ) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,k3_finseq_1(A)) ) => ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_numbers) & v1_funct_1(H) & ~ v1_xboole_0(H) & v1_finseq_1(H) & v1_partfun3(H) & v1_int_6(H) ) => ( H = k16_finseq_1(E,A) => r2_int_1(B,C,k19_rvsum_1(H)) ) ) ) ) ) ) )).
fof(s7_int_1__e11_65_2_2__uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(A,u1_struct_0(k1_complfld)) & m2_finseq_1(B,u1_struct_0(k13_polynom3(k1_complfld))) & m2_finseq_1(C,u1_struct_0(k13_polynom3(k1_complfld))) ) => ( ( ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(D,k1_complfld) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & D = k1_funct_1(C,1) & v1_int_1(k2_polynom4(k1_complfld,D,A)) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(F,k1_complfld) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & F = k1_funct_1(C,E) & v1_int_1(k2_polynom4(k1_complfld,F,A)) ) ) => ( r1_xxreal_0(k3_finseq_1(B),E) | ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(G,k1_complfld) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & G = k1_funct_1(C,k1_nat_1(E,1)) & v1_int_1(k2_polynom4(k1_complfld,G,A)) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(H,k1_complfld) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) & H = k1_funct_1(C,E) & v1_int_1(k2_polynom4(k1_complfld,H,A)) ) ) ) ) ) )).
fof(s7_int_1__e11_85_1__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_ideal_1(C,A,k6_domain_1(u1_struct_0(A),B)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k5_numbers) = k8_group_1(A,B,E) ) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),D,F) = k8_group_1(A,B,G) ) ) => ( r1_xxreal_0(k3_finseq_1(C),F) | ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),D,k1_nat_1(F,1)) = k8_group_1(A,B,H) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),D,F) = k8_group_1(A,B,I) ) ) ) ) ) )).
fof(s7_int_1__e11_86_1__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_ideal_1(D,A,k7_domain_1(u1_struct_0(A),B,C)) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k5_numbers) = k3_rlvect_1(A,k8_group_1(A,B,F),k8_group_1(A,C,G)) ) ) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,H) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),E,H) = k3_rlvect_1(A,k8_group_1(A,B,I),k8_group_1(A,C,J)) ) ) ) => ( r1_xxreal_0(k3_finseq_1(D),H) | ? [K] : ( m1_subset_1(K,u1_struct_0(A)) & ? [L] : ( m1_subset_1(L,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k1_nat_1(H,1)) = k3_rlvect_1(A,k8_group_1(A,B,K),k8_group_1(A,C,L)) ) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,H) & r1_xxreal_0(H,k3_finseq_1(D)) ) => ? [M] : ( m1_subset_1(M,u1_struct_0(A)) & ? [N] : ( m1_subset_1(N,u1_struct_0(A)) & k3_funct_2(k4_ordinal1,u1_struct_0(A),E,H) = k3_rlvect_1(A,k8_group_1(A,B,M),k8_group_1(A,C,N)) ) ) ) ) ) ) )).
fof(s7_int_1__e11_88__uproots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(C,u1_struct_0(k13_polynom3(A))) ) => ( ( ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & ? [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) & D = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(1))) & r2_relset_1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),E,k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),C,k2_finseq_1(1))) & k9_uproots(A,k1_uproots(u1_struct_0(A),D,1)) = k3_group_4(k13_polynom3(A),E) ) ) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) & ? [H] : ( m2_finseq_1(H,u1_struct_0(k13_polynom3(A))) & G = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(F))) & r2_relset_1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),H,k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),C,k2_finseq_1(F))) & k9_uproots(A,k1_uproots(u1_struct_0(A),G,1)) = k3_group_4(k13_polynom3(A),H) ) ) ) => ( r1_xxreal_0(k3_finseq_1(C),F) | ? [I] : ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) & ? [J] : ( m2_finseq_1(J,u1_struct_0(k13_polynom3(A))) & I = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(k1_nat_1(F,1)))) & r2_relset_1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),J,k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),C,k2_finseq_1(k1_nat_1(F,1)))) & k9_uproots(A,k1_uproots(u1_struct_0(A),I,1)) = k3_group_4(k13_polynom3(A),J) ) ) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => ? [K] : ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(u1_struct_0(A))) & ? [L] : ( m2_finseq_1(L,u1_struct_0(k13_polynom3(A))) & K = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(F))) & r2_relset_1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),L,k2_partfun1(k4_ordinal1,u1_struct_0(k13_polynom3(A)),C,k2_finseq_1(F))) & k9_uproots(A,k1_uproots(u1_struct_0(A),K,1)) = k3_group_4(k13_polynom3(A),L) ) ) ) ) ) ) )).
fof(s7_int_1__e11_89__uproots,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & m2_finseq_1(D,u1_struct_0(A)) ) => ( ( ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & ? [F] : ( m2_finseq_1(F,u1_struct_0(A)) & E = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(1))) & r2_relset_1(k4_ordinal1,u1_struct_0(A),F,k2_partfun1(k4_ordinal1,u1_struct_0(A),D,k2_finseq_1(1))) & k2_polynom4(A,k9_uproots(A,k1_uproots(u1_struct_0(A),E,1)),C) = k3_group_4(A,F) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & ? [H] : ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) & ? [I] : ( m2_finseq_1(I,u1_struct_0(A)) & H = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(G))) & r2_relset_1(k4_ordinal1,u1_struct_0(A),I,k2_partfun1(k4_ordinal1,u1_struct_0(A),D,k2_finseq_1(G))) & k2_polynom4(A,k9_uproots(A,k1_uproots(u1_struct_0(A),H,1)),C) = k3_group_4(A,I) ) ) ) => ( r1_xxreal_0(k3_finseq_1(D),G) | ? [J] : ( v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) & ? [K] : ( m2_finseq_1(K,u1_struct_0(A)) & J = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(k1_nat_1(G,1)))) & r2_relset_1(k4_ordinal1,u1_struct_0(A),K,k2_partfun1(k4_ordinal1,u1_struct_0(A),D,k2_finseq_1(k1_nat_1(G,1)))) & k2_polynom4(A,k9_uproots(A,k1_uproots(u1_struct_0(A),J,1)),C) = k3_group_4(A,K) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(D)) ) => ? [L] : ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(u1_struct_0(A))) & ? [M] : ( m2_finseq_1(M,u1_struct_0(A)) & L = k2_relset_1(B,k2_partfun1(k4_ordinal1,B,k19_finseq_1(B),k2_finseq_1(G))) & r2_relset_1(k4_ordinal1,u1_struct_0(A),M,k2_partfun1(k4_ordinal1,u1_struct_0(A),D,k2_finseq_1(G))) & k2_polynom4(A,k9_uproots(A,k1_uproots(u1_struct_0(A),L,1)),C) = k3_group_4(A,M) ) ) ) ) ) ) )).
fof(s7_int_1__e12_10__binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v2_vectsp_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k6_algstr_0(A,k8_nat_1(u1_struct_0(A),D,k5_numbers),B) = k8_nat_1(u1_struct_0(A),E,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & k6_algstr_0(A,k8_nat_1(u1_struct_0(A),D,F),B) = k8_nat_1(u1_struct_0(A),E,F) ) => ( r1_xxreal_0(k3_finseq_1(C),F) | k6_algstr_0(A,k8_nat_1(u1_struct_0(A),D,k1_nat_1(F,1)),B) = k8_nat_1(u1_struct_0(A),E,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => k6_algstr_0(A,k8_nat_1(u1_struct_0(A),D,F),B) = k8_nat_1(u1_struct_0(A),E,F) ) ) ) ) )).
fof(s7_int_1__e12_1__ratfunc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k8_nat_1(u1_struct_0(A),D,k5_numbers) = k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),E,k5_numbers)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & k8_nat_1(u1_struct_0(A),D,F) = k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),E,F)) ) => ( r1_xxreal_0(k3_finseq_1(C),F) | k8_nat_1(u1_struct_0(A),D,k1_nat_1(F,1)) = k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),E,k1_nat_1(F,1))) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => k8_nat_1(u1_struct_0(A),D,F) = k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),E,F)) ) ) ) ) )).
fof(s7_int_1__e12_9__binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_algstr_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),D,k5_numbers)) = k8_nat_1(u1_struct_0(A),E,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),D,F)) = k8_nat_1(u1_struct_0(A),E,F) ) => ( r1_xxreal_0(k3_finseq_1(C),F) | k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),D,k1_nat_1(F,1))) = k8_nat_1(u1_struct_0(A),E,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(C)) ) => k6_algstr_0(A,B,k8_nat_1(u1_struct_0(A),D,F)) = k8_nat_1(u1_struct_0(A),E,F) ) ) ) ) )).
fof(s7_int_1__e13_59__uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) & m2_finseq_1(B,u1_struct_0(k13_polynom3(k1_complfld))) & m2_finseq_1(C,u1_struct_0(k13_polynom3(k1_complfld))) ) => ( ( ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_complfld))) & D = a_1_7_uniroots(A) & k1_funct_1(C,1) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),D,1)) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_complfld))) & F = a_2_1_uniroots(A,E) & k1_funct_1(C,E) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),F,1)) ) ) => ( r1_xxreal_0(k3_finseq_1(B),E) | ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_complfld))) & G = a_2_8_uniroots(A,E) & k1_funct_1(C,k1_nat_1(E,1)) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),G,1)) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ? [H] : ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_complfld))) & H = a_2_1_uniroots(A,E) & k1_funct_1(C,E) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),H,1)) ) ) ) ) ) )).
fof(s7_int_1__e15_7__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & v1_algstr_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( ( ~ r1_xxreal_0(C,k5_numbers) & k8_nat_1(u1_struct_0(A),D,k5_numbers) = k4_struct_0(A) ) | ( r1_xxreal_0(C,k5_numbers) & k8_nat_1(u1_struct_0(A),D,k5_numbers) = k7_partfun1(u1_struct_0(A),B,C) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & ( ( ~ r1_xxreal_0(C,E) & k8_nat_1(u1_struct_0(A),D,E) = k4_struct_0(A) ) | ( r1_xxreal_0(C,E) & k8_nat_1(u1_struct_0(A),D,E) = k7_partfun1(u1_struct_0(A),B,C) ) ) ) => ( r1_xxreal_0(k3_finseq_1(B),E) | ( ~ r1_xxreal_0(C,k1_nat_1(E,1)) & k8_nat_1(u1_struct_0(A),D,k1_nat_1(E,1)) = k4_struct_0(A) ) | ( r1_xxreal_0(C,k1_nat_1(E,1)) & k8_nat_1(u1_struct_0(A),D,k1_nat_1(E,1)) = k7_partfun1(u1_struct_0(A),B,C) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ( ( ~ r1_xxreal_0(C,E) & k8_nat_1(u1_struct_0(A),D,E) = k4_struct_0(A) ) | ( r1_xxreal_0(C,E) & k8_nat_1(u1_struct_0(A),D,E) = k7_partfun1(u1_struct_0(A),B,C) ) ) ) ) ) ) )).
fof(s7_int_1__e16_63__uniroots,axiom,( ! [A] : ! [B] : ! [C] : ( ( m2_finseq_1(A,u1_struct_0(k13_polynom3(k1_complfld))) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_complfld))) & m2_finseq_1(C,u1_struct_0(k13_polynom3(k1_complfld))) ) => ( ( ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_complfld))) & D = a_1_8_uniroots(B) & k1_funct_1(C,1) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),D,1)) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_complfld))) & F = a_2_4_uniroots(B,E) & k1_funct_1(C,E) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),F,1)) ) ) => ( r1_xxreal_0(k3_finseq_1(A),E) | ? [G] : ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_complfld))) & G = a_2_9_uniroots(B,E) & k1_funct_1(C,k1_nat_1(E,1)) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),G,1)) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(A)) ) => ? [H] : ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k1_complfld))) & H = a_2_4_uniroots(B,E) & k1_funct_1(C,E) = k9_uproots(k1_complfld,k1_uproots(u1_struct_0(k1_complfld),H,1)) ) ) ) ) ) )).
fof(s7_int_1__e17_143_1__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_finseq_1(D,u1_struct_0(A)) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k5_numbers),k13_ideal_1(A,B,C)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k13_ideal_1(A,B,C)) ) => ( r1_xxreal_0(k3_finseq_1(D),F) | r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,k1_nat_1(F,1)),k13_ideal_1(A,B,C)) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(D)) ) => r2_tarski(k3_funct_2(k4_ordinal1,u1_struct_0(A),E,F),k13_ideal_1(A,B,C)) ) ) ) ) )).
fof(s7_int_1__e18_67__groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & v1_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & v1_polynom7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_subset_1(F,k4_ordinal1) ) => ( ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(G,k4_card_1(k3_polynom1(k15_pre_poly(A),C,E))) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,k6_groeb_3(A,B,C,E,G))) = k5_numbers ) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k6_termord(A,B,C,E))),k6_polynom1(A,C,k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k7_polynom1(A,C,k6_termord(A,B,C,E),k6_groeb_3(A,B,C,E,G)))),k11_polynom1(A,C,k6_termord(A,B,C,D),k6_groeb_3(A,B,C,E,G)))) ) ) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,H) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r1_xxreal_0(I,k4_card_1(k3_polynom1(k15_pre_poly(A),C,E))) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,k6_groeb_3(A,B,C,E,I))) = H ) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k6_termord(A,B,C,E))),k6_polynom1(A,C,k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k7_polynom1(A,C,k6_termord(A,B,C,E),k6_groeb_3(A,B,C,E,I)))),k11_polynom1(A,C,k6_termord(A,B,C,D),k6_groeb_3(A,B,C,E,I)))) ) ) ) => ( r1_xxreal_0(F,H) | ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( ( r1_xxreal_0(J,k4_card_1(k3_polynom1(k15_pre_poly(A),C,E))) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,k6_groeb_3(A,B,C,E,J))) = k1_nat_1(H,1) ) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k6_termord(A,B,C,E))),k6_polynom1(A,C,k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k7_polynom1(A,C,k6_termord(A,B,C,E),k6_groeb_3(A,B,C,E,J)))),k11_polynom1(A,C,k6_termord(A,B,C,D),k6_groeb_3(A,B,C,E,J)))) ) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,H) & r1_xxreal_0(H,F) ) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ( ( r1_xxreal_0(K,k4_card_1(k3_polynom1(k15_pre_poly(A),C,E))) & k4_card_1(k3_polynom1(k15_pre_poly(A),C,k6_groeb_3(A,B,C,E,K))) = H ) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D)),k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k6_termord(A,B,C,E))),k6_polynom1(A,C,k7_polynom1(A,C,k11_polynom1(A,C,k5_termord(A,B,C,E),k6_termord(A,B,C,D)),k11_polynom1(A,C,k5_termord(A,B,C,D),k7_polynom1(A,C,k6_termord(A,B,C,E),k6_groeb_3(A,B,C,E,K)))),k11_polynom1(A,C,k6_termord(A,B,C,D),k6_groeb_3(A,B,C,E,K)))) ) ) ) ) ) ) )).
fof(s7_int_1__e19_15__pencil_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) & m2_finseq_1(C,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) & ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) ) => ( ( ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => ( k1_funct_1(C,1) = k4_card_3(E) => ( k3_pencil_1(A,D) = k3_pencil_1(A,E) & ! [F] : ( F != k3_pencil_1(A,D) => k1_funct_1(D,F) = k1_funct_1(E,F) ) ) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & ! [H] : ( ( ~ v13_pencil_1(H) & v16_pencil_1(H,A) & m3_pboole(H,A,k12_pralg_1(A,B)) ) => ( k1_funct_1(C,G) = k4_card_3(H) => ( k3_pencil_1(A,D) = k3_pencil_1(A,H) & ! [I] : ( I != k3_pencil_1(A,D) => k1_funct_1(D,I) = k1_funct_1(H,I) ) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(C),G) | ! [J] : ( ( ~ v13_pencil_1(J) & v16_pencil_1(J,A) & m3_pboole(J,A,k12_pralg_1(A,B)) ) => ( k1_funct_1(C,k1_nat_1(G,1)) = k4_card_3(J) => ( k3_pencil_1(A,D) = k3_pencil_1(A,J) & ! [K] : ( K != k3_pencil_1(A,D) => k1_funct_1(D,K) = k1_funct_1(J,K) ) ) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(C)) ) => ! [L] : ( ( ~ v13_pencil_1(L) & v16_pencil_1(L,A) & m3_pboole(L,A,k12_pralg_1(A,B)) ) => ( k1_funct_1(C,G) = k4_card_3(L) => ( k3_pencil_1(A,D) = k3_pencil_1(A,L) & ! [M] : ( M != k3_pencil_1(A,D) => k1_funct_1(D,M) = k1_funct_1(L,M) ) ) ) ) ) ) ) ) )).
fof(s7_int_1__e20_13__binom,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) & m2_finseq_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),C,k5_numbers),k8_nat_1(u1_struct_0(A),D,k5_numbers)) = k8_nat_1(u1_struct_0(A),E,k5_numbers) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),C,F),k8_nat_1(u1_struct_0(A),D,F)) = k8_nat_1(u1_struct_0(A),E,F) ) => ( r1_xxreal_0(k3_finseq_1(B),F) | k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),C,k1_nat_1(F,1)),k8_nat_1(u1_struct_0(A),D,k1_nat_1(F,1))) = k8_nat_1(u1_struct_0(A),E,k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,F) & r1_xxreal_0(F,k3_finseq_1(B)) ) => k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),C,F),k8_nat_1(u1_struct_0(A),D,F)) = k8_nat_1(u1_struct_0(A),E,F) ) ) ) ) )).
fof(s7_int_1__e26_10_1_2__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( ( ~ r1_xxreal_0(D,1) & k8_nat_1(u1_struct_0(A),E,1) = k8_nat_1(u1_struct_0(A),F,1) ) | ( r1_xxreal_0(D,1) & k8_nat_1(u1_struct_0(A),F,1) = k8_group_1(A,B,k8_nat_1(u1_struct_0(A),E,1)) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & ( ( ~ r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),E,G) = k8_nat_1(u1_struct_0(A),F,G) ) | ( r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),F,G) = k8_group_1(A,B,k8_nat_1(u1_struct_0(A),E,G)) ) ) ) => ( r1_xxreal_0(k3_finseq_1(C),G) | ( ~ r1_xxreal_0(D,k1_nat_1(G,1)) & k8_nat_1(u1_struct_0(A),E,k1_nat_1(G,1)) = k8_nat_1(u1_struct_0(A),F,k1_nat_1(G,1)) ) | ( r1_xxreal_0(D,k1_nat_1(G,1)) & k8_nat_1(u1_struct_0(A),F,k1_nat_1(G,1)) = k8_group_1(A,B,k8_nat_1(u1_struct_0(A),E,k1_nat_1(G,1))) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(C)) ) => ( ( ~ r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),E,G) = k8_nat_1(u1_struct_0(A),F,G) ) | ( r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),F,G) = k8_group_1(A,B,k8_nat_1(u1_struct_0(A),E,G)) ) ) ) ) ) ) )).
fof(s7_int_1__e26_9__polynom2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & l2_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & m1_subset_1(D,k4_ordinal1) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( ( ~ r1_xxreal_0(D,k5_numbers) & k8_nat_1(u1_struct_0(A),F,k5_numbers) = k8_nat_1(u1_struct_0(A),E,k5_numbers) ) | ( r1_xxreal_0(D,k5_numbers) & k8_nat_1(u1_struct_0(A),E,k5_numbers) = k3_rlvect_1(A,B,k8_nat_1(u1_struct_0(A),F,k5_numbers)) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,G) & ( ( ~ r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),F,G) = k8_nat_1(u1_struct_0(A),E,G) ) | ( r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),E,G) = k3_rlvect_1(A,B,k8_nat_1(u1_struct_0(A),F,G)) ) ) ) => ( r1_xxreal_0(k3_finseq_1(C),G) | ( ~ r1_xxreal_0(D,k1_nat_1(G,1)) & k8_nat_1(u1_struct_0(A),F,k1_nat_1(G,1)) = k8_nat_1(u1_struct_0(A),E,k1_nat_1(G,1)) ) | ( r1_xxreal_0(D,k1_nat_1(G,1)) & k8_nat_1(u1_struct_0(A),E,k1_nat_1(G,1)) = k3_rlvect_1(A,B,k8_nat_1(u1_struct_0(A),F,k1_nat_1(G,1))) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,k3_finseq_1(C)) ) => ( ( ~ r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),F,G) = k8_nat_1(u1_struct_0(A),E,G) ) | ( r1_xxreal_0(D,G) & k8_nat_1(u1_struct_0(A),E,G) = k3_rlvect_1(A,B,k8_nat_1(u1_struct_0(A),F,G)) ) ) ) ) ) ) )).
fof(s7_int_1__e8_46_1_1_2_1_1_2__int_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_partfun3(B) & v1_int_6(B) & v1_relat_1(C) & v5_relat_1(C,k4_numbers) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finseq_1(C) & v1_partfun3(C) & v1_int_6(C) ) => ( ( ( r1_xxreal_0(k5_numbers,k3_finseq_1(C)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k5_numbers => r1_int_2(k19_rvsum_1(k16_finseq_1(D,C)),k1_funct_1(B,k1_nat_1(A,1))) ) ) ) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & ( r1_xxreal_0(E,k3_finseq_1(C)) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( F = E => r1_int_2(k19_rvsum_1(k16_finseq_1(F,C)),k1_funct_1(B,k1_nat_1(A,1))) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(C),E) | ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(C)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( G = k1_nat_1(E,1) => r1_int_2(k19_rvsum_1(k16_finseq_1(G,C)),k1_funct_1(B,k1_nat_1(A,1))) ) ) ) ) ) ) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => ( r1_xxreal_0(E,k3_finseq_1(C)) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( H = E => r1_int_2(k19_rvsum_1(k16_finseq_1(H,C)),k1_funct_1(B,k1_nat_1(A,1))) ) ) ) ) ) ) ) )).
fof(s7_int_1__e8_61__groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_rewrite1(F,k3_polyred(A,B,C,D)) ) => ( ( ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( G = k1_funct_1(F,1) => r1_rewrite1(k3_polyred(A,B,C,D),k5_vfunct_1(k15_pre_poly(A),C,E),k5_vfunct_1(k15_pre_poly(A),C,G)) ) ) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(1,H) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(I,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( I = k1_funct_1(F,H) => r1_rewrite1(k3_polyred(A,B,C,D),k5_vfunct_1(k15_pre_poly(A),C,E),k5_vfunct_1(k15_pre_poly(A),C,I)) ) ) ) => ( r1_xxreal_0(k3_finseq_1(F),H) | ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( J = k1_funct_1(F,k1_nat_1(H,1)) => r1_rewrite1(k3_polyred(A,B,C,D),k5_vfunct_1(k15_pre_poly(A),C,E),k5_vfunct_1(k15_pre_poly(A),C,J)) ) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(F)) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(K,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( K = k1_funct_1(F,H) => r1_rewrite1(k3_polyred(A,B,C,D),k5_vfunct_1(k15_pre_poly(A),C,E),k5_vfunct_1(k15_pre_poly(A),C,K)) ) ) ) ) ) ) )).
fof(s7_int_1__e9_55__int_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_partfun3(B) & v1_int_6(B) & m1_int_6(C,B) & v7_ordinal1(D) ) => ( ( ! [E] : ( ( v1_relat_1(E) & v5_relat_1(E,k4_numbers) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k4_numbers) & v1_funct_1(F) & v1_finseq_1(F) ) => ~ ( E = k16_finseq_1(k5_numbers,A) & F = k16_finseq_1(k5_numbers,C) & ~ ( ~ r1_xxreal_0(D,k5_numbers) & r2_int_1(k16_rvsum_1(k18_valued_1(E,F)),k5_numbers,k1_funct_1(B,D)) ) & ~ ( r1_xxreal_0(D,k5_numbers) & r2_int_1(k16_rvsum_1(k18_valued_1(E,F)),k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,G) & ! [H] : ( ( v1_relat_1(H) & v5_relat_1(H,k4_numbers) & v1_funct_1(H) & v1_finseq_1(H) ) => ! [I] : ( ( v1_relat_1(I) & v5_relat_1(I,k4_numbers) & v1_funct_1(I) & v1_finseq_1(I) ) => ~ ( H = k16_finseq_1(G,A) & I = k16_finseq_1(G,C) & ~ ( ~ r1_xxreal_0(D,G) & r2_int_1(k16_rvsum_1(k18_valued_1(H,I)),k5_numbers,k1_funct_1(B,D)) ) & ~ ( r1_xxreal_0(D,G) & r2_int_1(k16_rvsum_1(k18_valued_1(H,I)),k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(A),G) | ! [J] : ( ( v1_relat_1(J) & v5_relat_1(J,k4_numbers) & v1_funct_1(J) & v1_finseq_1(J) ) => ! [K] : ( ( v1_relat_1(K) & v5_relat_1(K,k4_numbers) & v1_funct_1(K) & v1_finseq_1(K) ) => ~ ( J = k16_finseq_1(k1_nat_1(G,1),A) & K = k16_finseq_1(k1_nat_1(G,1),C) & ~ ( ~ r1_xxreal_0(D,k1_nat_1(G,1)) & r2_int_1(k16_rvsum_1(k18_valued_1(J,K)),k5_numbers,k1_funct_1(B,D)) ) & ~ ( r1_xxreal_0(D,k1_nat_1(G,1)) & r2_int_1(k16_rvsum_1(k18_valued_1(J,K)),k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) ) ) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,k3_finseq_1(A)) ) => ! [L] : ( ( v1_relat_1(L) & v5_relat_1(L,k4_numbers) & v1_funct_1(L) & v1_finseq_1(L) ) => ! [M] : ( ( v1_relat_1(M) & v5_relat_1(M,k4_numbers) & v1_funct_1(M) & v1_finseq_1(M) ) => ~ ( L = k16_finseq_1(G,A) & M = k16_finseq_1(G,C) & ~ ( ~ r1_xxreal_0(D,G) & r2_int_1(k16_rvsum_1(k18_valued_1(L,M)),k5_numbers,k1_funct_1(B,D)) ) & ~ ( r1_xxreal_0(D,G) & r2_int_1(k16_rvsum_1(k18_valued_1(L,M)),k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) ) ) ) )).
fof(s7_int_1__e9_62__groeb_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & m1_rewrite1(G,k3_polyred(A,B,C,k1_groeb_1(A,C,F))) ) => ( ( ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(H,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( H = k1_funct_1(G,1) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,F)),k6_polynom1(A,C,D,E),k6_polynom1(A,C,H,E)) ) ) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r1_xxreal_0(1,I) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( J = k1_funct_1(G,I) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,F)),k6_polynom1(A,C,D,E),k6_polynom1(A,C,J,E)) ) ) ) => ( r1_xxreal_0(k3_finseq_1(G),I) | ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(K,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( K = k1_funct_1(G,k1_nat_1(I,1)) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,F)),k6_polynom1(A,C,D,E),k6_polynom1(A,C,K,E)) ) ) ) ) ) ) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k3_finseq_1(G)) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(L,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( L = k1_funct_1(G,I) => r1_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,F)),k6_polynom1(A,C,D,E),k6_polynom1(A,C,L,E)) ) ) ) ) ) ) )).
fof(s7_lmod_7__e2_38__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_2(B,k1_numbers,k1_euclid(A)) & m2_finseq_2(C,k1_numbers,k1_euclid(A)) & m2_finseq_2(D,k1_numbers,k1_euclid(A)) ) => ( k3_chain_1(A,B,C) = a_3_4_chain_1(A,B,C) => ( r2_tarski(D,k3_chain_1(A,B,C)) <=> ~ ( ~ ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(D,E)) & r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(C,E)) ) ) & ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => ~ ( ~ r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) & ( r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(C,E)) | r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(D,E)) ) ) ) ) ) ) ) )).
fof(s7_lmod_7__e2_74__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_chain_1(C,B) & m2_subset_1(D,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,A)) & m2_subset_1(E,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,k1_nat_1(A,1))) ) => ( k9_chain_1(B,C,A,D) = a_4_5_chain_1(A,B,C,D) => ( r2_tarski(E,k9_chain_1(B,C,A,D)) <=> r1_tarski(D,E) ) ) ) )).
fof(s7_lmod_7__e2_78__chain_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & ~ v8_ordinal1(B) & m1_chain_1(C,B) & m2_subset_1(D,k1_zfmisc_1(k1_euclid(B)),k4_chain_1(B,C,A)) & m1_subset_1(E,k1_zfmisc_1(k4_chain_1(B,C,k1_nat_1(A,1)))) ) => ( k10_chain_1(B,C,A,E) = a_4_7_chain_1(A,B,C,E) => ( r2_tarski(D,k10_chain_1(B,C,A,E)) <=> ( r1_xxreal_0(k1_nat_1(A,1),B) & ~ v1_abian(k4_card_1(k9_subset_1(k4_chain_1(B,C,k1_nat_1(A,1)),k9_chain_1(B,C,A,D),E))) ) ) ) ) )).
fof(s7_nat_1__e11_10__qc_lang4,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) & v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( ? [D] : ( v7_ordinal1(D) & ? [E] : ( m1_subset_1(E,k9_qc_lang1(A)) & E = k1_funct_1(C,k1_nat_1(D,1)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) & r2_tarski(E,k10_xtuple_0(k2_qc_lang4(A,B))) ) ) & ! [D] : ( v7_ordinal1(D) => ~ ( D != k5_numbers & ? [F] : ( m1_subset_1(F,k9_qc_lang1(A)) & F = k1_funct_1(C,k1_nat_1(D,1)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) & r2_tarski(F,k10_xtuple_0(k2_qc_lang4(A,B))) ) & ! [G] : ( v7_ordinal1(G) => ~ ( ~ r1_xxreal_0(D,G) & ? [H] : ( m1_subset_1(H,k9_qc_lang1(A)) & H = k1_funct_1(C,k1_nat_1(G,1)) & r2_tarski(k1_nat_1(G,1),k4_finseq_1(C)) & r2_tarski(H,k10_xtuple_0(k2_qc_lang4(A,B))) ) ) ) ) ) ) => ? [I] : ( m1_subset_1(I,k9_qc_lang1(A)) & I = k1_funct_1(C,k1_nat_1(k5_numbers,1)) & r2_tarski(k1_nat_1(k5_numbers,1),k4_finseq_1(C)) & r2_tarski(I,k10_xtuple_0(k2_qc_lang4(A,B))) ) ) ) )).
fof(s7_nat_1__e3_33__real_3,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( ( ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & k8_nat_1(k4_ordinal1,k1_real_3(B,A),D) = C ) ) & ! [C] : ( v7_ordinal1(C) => ~ ( C != k5_numbers & ? [E] : ( v7_ordinal1(E) & k8_nat_1(k4_ordinal1,k1_real_3(B,A),E) = C ) & ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(C,F) & ? [G] : ( v7_ordinal1(G) & k8_nat_1(k4_ordinal1,k1_real_3(B,A),G) = F ) ) ) ) ) ) => ? [H] : ( v7_ordinal1(H) & k8_nat_1(k4_ordinal1,k1_real_3(B,A),H) = k5_numbers ) ) ) )).
fof(s7_nat_1__e3_74__rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ( ( ? [B] : ( v7_ordinal1(B) & ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) & v3_valued_0(C) & v1_finseq_1(C) & v1_partfun3(C) & k4_rvsum_3(C) = B & k1_rvsum_3(A) = k1_rvsum_3(C) & ~ r1_xxreal_0(k2_rvsum_3(C),k2_rvsum_3(A)) & ~ r1_xxreal_0(k4_rvsum_3(A),k4_rvsum_3(C)) ) ) & ! [B] : ( v7_ordinal1(B) => ~ ( B != k5_numbers & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & ~ v1_xboole_0(D) & v3_valued_0(D) & v1_finseq_1(D) & v1_partfun3(D) & k4_rvsum_3(D) = B & k1_rvsum_3(A) = k1_rvsum_3(D) & ~ r1_xxreal_0(k2_rvsum_3(D),k2_rvsum_3(A)) & ~ r1_xxreal_0(k4_rvsum_3(A),k4_rvsum_3(D)) ) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(B,E) & ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & ~ v1_xboole_0(F) & v3_valued_0(F) & v1_finseq_1(F) & v1_partfun3(F) & k4_rvsum_3(F) = E & k1_rvsum_3(A) = k1_rvsum_3(F) & ~ r1_xxreal_0(k2_rvsum_3(F),k2_rvsum_3(A)) & ~ r1_xxreal_0(k4_rvsum_3(A),k4_rvsum_3(F)) ) ) ) ) ) ) => ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & ~ v1_xboole_0(G) & v3_valued_0(G) & v1_finseq_1(G) & v1_partfun3(G) & k4_rvsum_3(G) = k5_numbers & k1_rvsum_3(A) = k1_rvsum_3(G) & ~ r1_xxreal_0(k2_rvsum_3(G),k2_rvsum_3(A)) & ~ r1_xxreal_0(k4_rvsum_3(A),k4_rvsum_3(G)) ) ) ) )).
fof(s7_nat_1__e8_17__neckla_2,axiom,( ( ? [A] : ( v7_ordinal1(A) & ? [B] : ( ~ v2_struct_0(B) & v1_orders_2(B) & l1_orders_2(B) & r2_tarski(B,k4_neckla_2) & k1_card_1(u1_struct_0(B)) = A & r1_necklace(k4_necklace(4),B) ) ) & ! [A] : ( v7_ordinal1(A) => ~ ( A != k5_numbers & ? [C] : ( ~ v2_struct_0(C) & v1_orders_2(C) & l1_orders_2(C) & r2_tarski(C,k4_neckla_2) & k1_card_1(u1_struct_0(C)) = A & r1_necklace(k4_necklace(4),C) ) & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(A,D) & ? [E] : ( ~ v2_struct_0(E) & v1_orders_2(E) & l1_orders_2(E) & r2_tarski(E,k4_neckla_2) & k1_card_1(u1_struct_0(E)) = D & r1_necklace(k4_necklace(4),E) ) ) ) ) ) ) => ? [F] : ( ~ v2_struct_0(F) & v1_orders_2(F) & l1_orders_2(F) & r2_tarski(F,k4_neckla_2) & k1_card_1(u1_struct_0(F)) = k5_numbers & r1_necklace(k4_necklace(4),F) ) )).
fof(s7_nat_1__e8_8__nat_3,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ( ? [C] : ( v7_ordinal1(C) & r1_nat_d(A,k1_newton(B,k2_xcmplx_0(C,1))) ) & ! [C] : ( v7_ordinal1(C) => ~ ( C != k5_numbers & r1_nat_d(A,k1_newton(B,k2_xcmplx_0(C,1))) & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(C,D) & r1_nat_d(A,k1_newton(B,k2_xcmplx_0(D,1))) ) ) ) ) ) => r1_nat_d(A,k1_newton(B,k2_xcmplx_0(k5_numbers,1))) ) ) )).
fof(s7_nat_1__e9_66_1__cgames_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v3_cgames_1(B) & v4_cgames_1(B) ) => ( ( ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(k2_xcmplx_0(C,1),k3_finseq_1(B)) & r2_tarski(k1_funct_1(B,k2_xcmplx_0(C,1)),A) ) & ! [C] : ( v7_ordinal1(C) => ~ ( C != k5_numbers & r1_xxreal_0(k2_xcmplx_0(C,1),k3_finseq_1(B)) & r2_tarski(k1_funct_1(B,k2_xcmplx_0(C,1)),A) & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(C,D) & r1_xxreal_0(k2_xcmplx_0(D,1),k3_finseq_1(B)) & r2_tarski(k1_funct_1(B,k2_xcmplx_0(D,1)),A) ) ) ) ) ) => ( r1_xxreal_0(k2_xcmplx_0(k5_numbers,1),k3_finseq_1(B)) & r2_tarski(k1_funct_1(B,k2_xcmplx_0(k5_numbers,1)),A) ) ) ) )).
fof(s7_pboole__e6_38_1__pralg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & v1_relat_1(C) & v1_funct_1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,k8_eqrel_1(A,B)) & v1_funct_1(D) & v1_partfun1(D,k8_eqrel_1(A,B)) & ! [E] : ( r2_tarski(E,k8_eqrel_1(A,B)) => k1_funct_1(D,E) = k5_relat_1(C,E) ) ) ) )).
fof(s7_qc_lang3__e2_15_5__substut1,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k9_substut1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k8_substut1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v5_qc_lang1(B,A) ) => k9_substut1(A,B) = k4_subset_1(k3_qc_lang1(A),k9_substut1(A,k22_qc_lang1(A,B)),k6_domain_1(k3_qc_lang1(A),k21_qc_lang1(A,B))) ) ) )).
fof(s7_qc_lang3__e2_44_5__qc_lang3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1(A))) & m1_subset_1(C,k9_qc_lang1(A)) ) => ( ( ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( E = k4_qc_lang3(A,B,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k9_qc_lang1(A),k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(B)))) & E = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,D) & ! [G] : ( m1_subset_1(G,k9_qc_lang1(A)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(B)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(B)) => ( ( G = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_subset_1(B) ) & ( v2_qc_lang1(G,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k1_qc_lang3(A,k17_qc_lang1(A,G),B) ) & ( ( v3_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k18_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) & ( ( v4_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k19_qc_lang1(A,G)) & I = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k20_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = k4_subset_1(B,H,I) ) & ( ( v5_qc_lang1(G,A) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,k22_qc_lang1(A,G)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(B),F,G) = H ) ) ) ) ) ) ) ) ) & v5_qc_lang1(C,A) ) => k4_qc_lang3(A,B,C) = k4_qc_lang3(A,B,k22_qc_lang1(A,C)) ) ) )).
fof(s7_qc_lang3__e3_19__qc_lang3,axiom,( ! [A] : ! [B] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k9_qc_lang1(A)) ) => ( ( ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_qc_lang1(A))) => ( D = k24_qc_lang1(A,C) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A))))) & D = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,C) & ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k3_qc_lang1(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k3_qc_lang1(A))) => ( ( F = k12_qc_lang1(A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k1_subset_1(k3_qc_lang1(A)) ) & ( v2_qc_lang1(F,A) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k23_qc_lang1(A,k17_qc_lang1(A,F)) ) & ( ( v3_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k18_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = G ) & ( ( v4_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k19_qc_lang1(A,F)) & H = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k20_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k4_subset_1(k3_qc_lang1(A),G,H) ) & ( ( v5_qc_lang1(F,A) & G = k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,k22_qc_lang1(A,F)) ) => k3_funct_2(k9_qc_lang1(A),k1_zfmisc_1(k3_qc_lang1(A)),E,F) = k7_subset_1(k3_qc_lang1(A),G,k1_tarski(k21_qc_lang1(A,F))) ) ) ) ) ) ) ) ) ) & v5_qc_lang1(B,A) ) => k24_qc_lang1(A,B) = k7_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,k22_qc_lang1(A,B)),k1_tarski(k21_qc_lang1(A,B))) ) ) )).
fof(s7_stirl2_1__e3_81__stirl2_1,axiom,( ( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( C = k1_xboole_0 & v1_finset_1(k2_relset_1(B,C)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_relset_1(B,C),k2_relset_1(B,C)) & v3_funct_2(D,k2_relset_1(B,C),k2_relset_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_relset_1(B,C),k2_relset_1(B,C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( C = k1_partfun1(A,B,k2_relset_1(B,C),k2_relset_1(B,C),E,D) & k2_relset_1(B,C) = k2_relset_1(B,E) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(F,k2_relset_1(B,E)) & r2_tarski(G,k2_relset_1(B,E)) & ~ r1_xxreal_0(G,F) & r1_xxreal_0(k3_nat_1(k8_relset_1(A,B,E,k1_seq_4(G))),k3_nat_1(k8_relset_1(A,B,E,k1_seq_4(F)))) ) ) ) ) ) ) ) ) ) ) & ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( ! [I] : ( ( r2_tarski(I,k10_xtuple_0(H)) & I = k1_funct_1(H,k3_nat_1(k9_xtuple_0(H))) ) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(k4_ordinal1)) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(k4_ordinal1)) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,J,K) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(J,K))) ) => ~ ( L = k5_relat_1(H,k6_subset_1(k9_xtuple_0(H),k8_relat_1(H,k1_tarski(I)))) & v1_finset_1(k2_relset_1(K,L)) & ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k2_relset_1(K,L),k2_relset_1(K,L)) & v3_funct_2(M,k2_relset_1(K,L),k2_relset_1(K,L)) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k2_relset_1(K,L),k2_relset_1(K,L)))) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,J,K) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(J,K))) ) => ~ ( L = k1_partfun1(J,K,k2_relset_1(K,L),k2_relset_1(K,L),N,M) & k2_relset_1(K,L) = k2_relset_1(K,N) & ! [O] : ( v7_ordinal1(O) => ! [P] : ( v7_ordinal1(P) => ~ ( r2_tarski(O,k2_relset_1(K,N)) & r2_tarski(P,k2_relset_1(K,N)) & ~ r1_xxreal_0(P,O) & r1_xxreal_0(k3_nat_1(k8_relset_1(J,K,N,k1_seq_4(P))),k3_nat_1(k8_relset_1(J,K,N,k1_seq_4(O)))) ) ) ) ) ) ) ) ) ) ) ) => ! [Q] : ( m1_subset_1(Q,k1_zfmisc_1(k4_ordinal1)) => ! [R] : ( m1_subset_1(R,k1_zfmisc_1(k4_ordinal1)) => ! [S] : ( ( v1_funct_1(S) & v1_funct_2(S,Q,R) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(Q,R))) ) => ~ ( S = H & v1_finset_1(k2_relset_1(R,S)) & ! [T] : ( ( v1_funct_1(T) & v1_funct_2(T,k2_relset_1(R,S),k2_relset_1(R,S)) & v3_funct_2(T,k2_relset_1(R,S),k2_relset_1(R,S)) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(k2_relset_1(R,S),k2_relset_1(R,S)))) ) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,Q,R) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(Q,R))) ) => ~ ( S = k1_partfun1(Q,R,k2_relset_1(R,S),k2_relset_1(R,S),U,T) & k2_relset_1(R,S) = k2_relset_1(R,U) & ! [V] : ( v7_ordinal1(V) => ! [W] : ( v7_ordinal1(W) => ~ ( r2_tarski(V,k2_relset_1(R,U)) & r2_tarski(W,k2_relset_1(R,U)) & ~ r1_xxreal_0(W,V) & r1_xxreal_0(k3_nat_1(k8_relset_1(Q,R,U,k1_seq_4(W))),k3_nat_1(k8_relset_1(Q,R,U,k1_seq_4(V)))) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( v1_finset_1(k10_xtuple_0(H)) => ! [X] : ( m1_subset_1(X,k1_zfmisc_1(k4_ordinal1)) => ! [Y] : ( m1_subset_1(Y,k1_zfmisc_1(k4_ordinal1)) => ! [Z] : ( ( v1_funct_1(Z) & v1_funct_2(Z,X,Y) & m1_subset_1(Z,k1_zfmisc_1(k2_zfmisc_1(X,Y))) ) => ~ ( Z = H & v1_finset_1(k2_relset_1(Y,Z)) & ! [A1] : ( ( v1_funct_1(A1) & v1_funct_2(A1,k2_relset_1(Y,Z),k2_relset_1(Y,Z)) & v3_funct_2(A1,k2_relset_1(Y,Z),k2_relset_1(Y,Z)) & m1_subset_1(A1,k1_zfmisc_1(k2_zfmisc_1(k2_relset_1(Y,Z),k2_relset_1(Y,Z)))) ) => ! [B1] : ( ( v1_funct_1(B1) & v1_funct_2(B1,X,Y) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(X,Y))) ) => ~ ( Z = k1_partfun1(X,Y,k2_relset_1(Y,Z),k2_relset_1(Y,Z),B1,A1) & k2_relset_1(Y,Z) = k2_relset_1(Y,B1) & ! [C1] : ( v7_ordinal1(C1) => ! [D1] : ( v7_ordinal1(D1) => ~ ( r2_tarski(C1,k2_relset_1(Y,B1)) & r2_tarski(D1,k2_relset_1(Y,B1)) & ~ r1_xxreal_0(D1,C1) & r1_xxreal_0(k3_nat_1(k8_relset_1(X,Y,B1,k1_seq_4(D1))),k3_nat_1(k8_relset_1(X,Y,B1,k1_seq_4(C1)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s7_stirl2_1__e3_82__stirl2_1,axiom,( ( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( D = k1_xboole_0 => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( ( v2_funct_1(G) & v2_funct_1(H) & k2_relset_1(C,E) = k2_relset_1(C,F) & k2_relset_1(C,E) = k9_xtuple_0(G) & k9_xtuple_0(G) = k9_xtuple_0(H) & D = k3_relat_1(E,G) & D = k3_relat_1(F,H) & v2_stirl2_1(E,A,C) & v2_stirl2_1(F,A,C) ) => ( G = H & r2_funct_2(A,C,E,F) ) ) ) ) ) ) ) ) ) ) ) & ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ( ! [J] : ( ( r2_tarski(J,k10_xtuple_0(I)) & J = k1_funct_1(I,k3_nat_1(k9_xtuple_0(I))) ) => ! [K] : ( m1_subset_1(K,k1_zfmisc_1(k4_ordinal1)) => ! [L] : ( m1_subset_1(L,k1_zfmisc_1(k4_ordinal1)) => ! [M] : ( m1_subset_1(M,k1_zfmisc_1(k4_ordinal1)) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,K,L) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(K,L))) ) => ( N = k5_relat_1(I,k6_subset_1(k9_xtuple_0(I),k8_relat_1(I,k1_tarski(J)))) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,K,M) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(K,M))) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,K,M) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(K,M))) ) => ! [Q] : ( ( v1_relat_1(Q) & v1_funct_1(Q) ) => ! [R] : ( ( v1_relat_1(R) & v1_funct_1(R) ) => ( ( v2_funct_1(Q) & v2_funct_1(R) & k2_relset_1(M,O) = k2_relset_1(M,P) & k2_relset_1(M,O) = k9_xtuple_0(Q) & k9_xtuple_0(Q) = k9_xtuple_0(R) & N = k3_relat_1(O,Q) & N = k3_relat_1(P,R) & v2_stirl2_1(O,K,M) & v2_stirl2_1(P,K,M) ) => ( Q = R & r2_funct_2(K,M,O,P) ) ) ) ) ) ) ) ) ) ) ) ) => ! [S] : ( m1_subset_1(S,k1_zfmisc_1(k4_ordinal1)) => ! [T] : ( m1_subset_1(T,k1_zfmisc_1(k4_ordinal1)) => ! [U] : ( m1_subset_1(U,k1_zfmisc_1(k4_ordinal1)) => ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,S,T) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(S,T))) ) => ( V = I => ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,S,U) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(S,U))) ) => ! [X] : ( ( v1_funct_1(X) & v1_funct_2(X,S,U) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(S,U))) ) => ! [Y] : ( ( v1_relat_1(Y) & v1_funct_1(Y) ) => ! [Z] : ( ( v1_relat_1(Z) & v1_funct_1(Z) ) => ( ( v2_funct_1(Y) & v2_funct_1(Z) & k2_relset_1(U,W) = k2_relset_1(U,X) & k2_relset_1(U,W) = k9_xtuple_0(Y) & k9_xtuple_0(Y) = k9_xtuple_0(Z) & V = k3_relat_1(W,Y) & V = k3_relat_1(X,Z) & v2_stirl2_1(W,S,U) & v2_stirl2_1(X,S,U) ) => ( Y = Z & r2_funct_2(S,U,W,X) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ( v1_finset_1(k10_xtuple_0(I)) => ! [A1] : ( m1_subset_1(A1,k1_zfmisc_1(k4_ordinal1)) => ! [B1] : ( m1_subset_1(B1,k1_zfmisc_1(k4_ordinal1)) => ! [C1] : ( m1_subset_1(C1,k1_zfmisc_1(k4_ordinal1)) => ! [D1] : ( ( v1_funct_1(D1) & v1_funct_2(D1,A1,B1) & m1_subset_1(D1,k1_zfmisc_1(k2_zfmisc_1(A1,B1))) ) => ( D1 = I => ! [E1] : ( ( v1_funct_1(E1) & v1_funct_2(E1,A1,C1) & m1_subset_1(E1,k1_zfmisc_1(k2_zfmisc_1(A1,C1))) ) => ! [F1] : ( ( v1_funct_1(F1) & v1_funct_2(F1,A1,C1) & m1_subset_1(F1,k1_zfmisc_1(k2_zfmisc_1(A1,C1))) ) => ! [G1] : ( ( v1_relat_1(G1) & v1_funct_1(G1) ) => ! [H1] : ( ( v1_relat_1(H1) & v1_funct_1(H1) ) => ( ( v2_funct_1(G1) & v2_funct_1(H1) & k2_relset_1(C1,E1) = k2_relset_1(C1,F1) & k2_relset_1(C1,E1) = k9_xtuple_0(G1) & k9_xtuple_0(G1) = k9_xtuple_0(H1) & D1 = k3_relat_1(E1,G1) & D1 = k3_relat_1(F1,H1) & v2_stirl2_1(E1,A1,C1) & v2_stirl2_1(F1,A1,C1) ) => ( G1 = H1 & r2_funct_2(A1,C1,E1,F1) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s8_cqc_lang__e2_15_4__valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & ~ v1_xboole_0(C) & m1_valuat_1(D,A,C) & m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [G] : ( m1_subset_1(G,k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) => ( G = k8_valuat_1(A,C,D,F) <=> ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)))) & G = k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,F) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k5_cqc_lang(A)) = k10_subset_1(k8_funcop_1(k5_margrel1,k2_valuat_1(A,C),k7_margrel1),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [J] : ( m2_subset_1(J,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [K] : ( m2_subset_1(K,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v5_relat_1(M,k3_qc_lang1(A)) & v3_card_1(M,L) & m2_finseq_1(M,k2_qc_lang1(A)) ) => ! [N] : ( m2_subset_1(N,k6_qc_lang1(A),k8_qc_lang1(A,L)) => ( k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k4_cqc_lang(L,A,N,M)) = k5_valuat_1(A,C,L,M,k7_valuat_1(A,C,L,D,N)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k6_cqc_lang(A,I)) = k10_subset_1(k14_margrel1(k2_valuat_1(A,C),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,I)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k7_cqc_lang(A,I,J)) = k10_subset_1(k15_margrel1(k2_valuat_1(A,C),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,I),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,J)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k11_cqc_lang(A,K,I)) = k10_subset_1(k3_valuat_1(A,C,K,k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,I)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) ) ) ) ) ) ) ) ) ) ) ) => k8_valuat_1(A,C,D,k7_cqc_lang(A,B,E)) = k10_subset_1(k15_margrel1(k2_valuat_1(A,C),k8_valuat_1(A,C,D,B),k8_valuat_1(A,C,D,E)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) ) ) )).
fof(s8_cqc_lang__e2_32__cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) ) => ( ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k7_cqc_sim1(A,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k3_cqc_lang(A),k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k4_ordinal1))) & E = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,D) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k5_cqc_lang(A)) = k5_numbers & ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [I] : ( m2_subset_1(I,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v5_relat_1(K,k3_qc_lang1(A)) & v3_card_1(K,J) & m2_finseq_1(K,k2_qc_lang1(A)) ) => ! [L] : ( m2_subset_1(L,k6_qc_lang1(A),k8_qc_lang1(A,J)) => ( k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k4_cqc_lang(J,A,L,K)) = k5_numbers & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k6_cqc_lang(A,G)) = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,G) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k7_cqc_lang(A,G,H)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,G),k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,H)) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k11_cqc_lang(A,I,G)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,G),1) ) ) ) ) ) ) ) ) ) ) ) => k7_cqc_sim1(A,k7_cqc_lang(A,B,C)) = k1_nat_1(k7_cqc_sim1(A,B),k7_cqc_sim1(A,C)) ) ) )).
fof(s8_domain_1__e10_11_1_2__partit1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(k9_setfam_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(k9_setfam_1(A))))) ) => m1_subset_1(a_4_3_partit1(A,B,C,D),k1_zfmisc_1(k9_setfam_1(k9_setfam_1(A)))) ) )).
fof(s8_domain_1__e11_90_1_9_1__waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v1_xboole_0(B) & v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) & ~ v2_struct_0(E) & v4_orders_2(E) & v6_waybel_0(E,A) & v7_waybel_0(E) & l1_waybel_0(E,A) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(E),k4_card_3(k1_funct_6(D))),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),k4_card_3(k1_funct_6(D))),u1_struct_0(A)))) & m1_subset_1(G,u1_struct_0(E)) & m1_subset_1(H,k4_card_3(k1_funct_6(D))) ) => m1_subset_1(a_8_0_waybel11(A,B,C,D,E,F,G,H),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e13_90_1_9_1__waybel11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v6_waybel_0(B,A) & v7_waybel_0(B) & l1_waybel_0(B,A) & m3_yellow_6(C,u1_struct_0(B),A) & m1_subset_1(D,u1_struct_0(k7_yellow_6(A,B,C))) ) => m1_subset_1(a_4_2_waybel11(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e14_45__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_0_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e14_46__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_0_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e1_130__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_12_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e1_131__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m2_finseq_2(C,k2_numbers,k12_seq_4(A)) & m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_4_2_seq_4(A,B,C,D),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e1_132__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_12_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e1_144__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_12_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e1_20__relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )).
fof(s8_domain_1__e1_35__relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_subset_1(a_4_2_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )).
fof(s8_domain_1__e1_41__relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) & m1_subset_1(F,k1_zfmisc_1(D)) ) => m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) )).
fof(s8_domain_1__e1_92__polynom5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(k1_complfld)) & v1_polynom1(A,k1_complfld) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_complfld)))) ) => m1_subset_1(a_1_1_polynom5(A),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e20_13__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_0_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e21_13__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_0_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e21_16_2__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_0_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e22_13__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_0_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e2_144__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_12_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e2_16__jordan6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_2_0_jordan6(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s8_domain_1__e2_17_1__jordan6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_2_0_jordan6(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s8_domain_1__e2_18_1__jordan6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_2_1_jordan6(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s8_domain_1__e2_47__waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_waybel32(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(a_2_7_waybel32(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e2_48_1__waybel32,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_waybel32(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v10_waybel_0(B,A) & l1_waybel_0(B,A) ) => m1_subset_1(a_2_8_waybel32(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e3_133_1__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_12_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e3_15_1__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v7_waybel_0(B) & v8_waybel_0(B,A) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_3_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e6_48_1_1_1__waybel32,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_waybel32(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v10_waybel_0(B,A) & l1_waybel_0(B,A) & m1_subset_1(C,u1_struct_0(B)) ) => m1_subset_1(a_3_7_waybel32(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e7_131__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m2_finseq_2(B,k2_numbers,k12_seq_4(A)) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_12_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s8_domain_1__e7_16__jordan6,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) & m1_subset_1(B,u1_struct_0(k15_euclid(2))) ) => m1_subset_1(a_2_1_jordan6(A,B),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) )).
fof(s8_domain_1__e9_16_2__waybel32,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(a_2_0_waybel32(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e9_63_2__waybel11,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(a_2_2_waybel11(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_domain_1__e9_65_2__waybel11,axiom,( ! [A] : ! [B] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_waybel_9(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m1_subset_1(a_2_16_waybel11(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s8_dtconstr__e1_48__msafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),k13_msafree(A,B),u3_msualg_1(A,C)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_dtconstr(k5_msafree(A,B)),k3_card_3(u3_msualg_1(A,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k5_msafree(A,B)),k3_card_3(u3_msualg_1(A,C))))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k5_msafree(A,B))) => ( r2_tarski(F,k1_lang1(k5_msafree(A,B))) => k1_funct_1(E,k2_trees_4(u1_struct_0(k5_msafree(A,B)),F)) = k16_msafree(A,B,u3_msualg_1(A,C),D,F) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(k5_msafree(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k4_dtconstr(k5_msafree(A,B))) => ( r1_lang1(k5_msafree(A,B),F,k1_dtconstr(u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),G)) => k1_funct_1(E,k8_trees_4(u1_struct_0(k5_msafree(A,B)),F,G)) = k18_msafree(A,C,k17_msafree(A,B,F),k4_finseqop(k4_dtconstr(k5_msafree(A,B)),k3_card_3(u3_msualg_1(A,C)),G,E)) ) ) ) ) ) )).
fof(s8_dtconstr__e2_34__freealg,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k4_ordinal1) & ~ v1_xboole_0(B) & v1_freealg(B) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) & v1_funct_1(D) & v1_funct_2(D,k9_freealg(A,B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_freealg(A,B),u1_struct_0(C)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_dtconstr(k3_freealg(A,B)),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k3_freealg(A,B)),u1_struct_0(C)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k3_freealg(A,B))) => ( r2_tarski(F,k1_lang1(k3_freealg(A,B))) => k1_funct_1(E,k2_trees_4(u1_struct_0(k3_freealg(A,B)),F)) = k10_freealg(A,B,u1_struct_0(C),F,D) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(k3_freealg(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))) => ( r1_lang1(k3_freealg(A,B),F,k1_dtconstr(u1_struct_0(k3_freealg(A,B)),k5_trees_3(u1_struct_0(k3_freealg(A,B))),G)) => k1_funct_1(E,k8_trees_4(u1_struct_0(k3_freealg(A,B)),F,G)) = k7_partfun1(u1_struct_0(C),k1_freealg(C,k11_freealg(A,B,F)),k4_finseqop(k4_dtconstr(k3_freealg(A,B)),u1_struct_0(C),G,E)) ) ) ) ) ) )).
fof(s8_dtconstr__e2_46__freealg,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m2_finseq_1(A,k4_ordinal1) & v1_freealg(B) & ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) & v1_funct_1(D) & v1_funct_2(D,k17_freealg(A,B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k17_freealg(A,B),u1_struct_0(C)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_dtconstr(k3_freealg(A,B)),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k3_freealg(A,B)),u1_struct_0(C)))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k3_freealg(A,B))) => ( r2_tarski(F,k1_lang1(k3_freealg(A,B))) => k1_funct_1(E,k2_trees_4(u1_struct_0(k3_freealg(A,B)),F)) = k18_freealg(A,B,u1_struct_0(C),F,D) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(k3_freealg(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k3_freealg(A,B))),k4_dtconstr(k3_freealg(A,B))) => ( r1_lang1(k3_freealg(A,B),F,k1_dtconstr(u1_struct_0(k3_freealg(A,B)),k5_trees_3(u1_struct_0(k3_freealg(A,B))),G)) => k1_funct_1(E,k8_trees_4(u1_struct_0(k3_freealg(A,B)),F,G)) = k7_partfun1(u1_struct_0(C),k1_freealg(C,k11_freealg(A,B,F)),k4_finseqop(k4_dtconstr(k3_freealg(A,B)),u1_struct_0(C),G,E)) ) ) ) ) ) )).
fof(s8_dtconstr__e2_78__osafree,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & v13_osalg_1(C,A) & l3_msualg_1(C,A) & m2_pboole(D,u1_struct_0(A),k22_osafree(A,B),u3_msualg_1(A,C)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_dtconstr(k2_osafree(A,B)),k3_card_3(u3_msualg_1(A,C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),k3_card_3(u3_msualg_1(A,C))))) & ! [F] : ( m1_subset_1(F,u1_struct_0(k2_osafree(A,B))) => ( r2_tarski(F,k1_lang1(k2_osafree(A,B))) => k1_funct_1(E,k2_trees_4(u1_struct_0(k2_osafree(A,B)),F)) = k26_osafree(A,B,u3_msualg_1(A,C),D,F) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(k2_osafree(A,B))) => ! [G] : ( m1_trees_4(G,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r1_lang1(k2_osafree(A,B),F,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),G)) => k1_funct_1(E,k8_trees_4(u1_struct_0(k2_osafree(A,B)),F,G)) = k18_msafree(A,C,k13_osafree(A,B,F),k4_finseqop(k4_dtconstr(k2_osafree(A,B)),k3_card_3(u3_msualg_1(A,C)),G,E)) ) ) ) ) ) )).
fof(s8_fraenkel__e4_12__substlat,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) & m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) ) => ( ( ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( ( r2_tarski(E,C) & r2_tarski(F,D) & r1_partfun1(E,F) ) <=> ( r2_tarski(F,D) & r2_tarski(E,C) & r1_partfun1(F,E) ) ) ) ) & ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => k2_xboole_0(E,F) = k2_xboole_0(F,E) ) ) ) => a_4_0_substlat(A,B,C,D) = a_4_2_substlat(A,B,C,D) ) ) )).
fof(s8_fraenkel__e4_49__normform,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) & m1_subset_1(C,k5_finsub_1(k7_normform(A))) ) => ( ( ! [D] : ( m1_subset_1(D,k7_normform(A)) => ! [E] : ( m1_subset_1(E,k7_normform(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,C) ) <=> ( r2_tarski(E,C) & r2_tarski(D,B) ) ) ) ) & ! [D] : ( m1_subset_1(D,k7_normform(A)) => ! [E] : ( m1_subset_1(E,k7_normform(A)) => k1_normform(k5_finsub_1(A),k5_finsub_1(A),D,E) = k1_normform(k5_finsub_1(A),k5_finsub_1(A),E,D) ) ) ) => a_3_4_normform(A,B,C) = a_3_5_normform(A,B,C) ) ) )).
fof(s8_funct_2__e10_84__waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & ~ v2_struct_0(C) & v1_orders_2(C) & l1_orders_2(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => r2_hidden(k1_funct_1(u1_waybel_0(A,B),k1_xfamily(D)),u1_struct_0(A)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(A),D,E) = k1_funct_1(u1_waybel_0(A,B),k1_xfamily(E)) ) ) ) ) )).
fof(s8_funct_2__e19_30_1__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & v1_xreal_0(D) ) => ( ! [E] : ( m1_subset_1(E,k1_numbers) => r2_hidden(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,E),k7_partfun1(u1_struct_0(A),B,k5_numbers))),k6_xcmplx_0(k1_funct_1(C,E),k1_funct_1(C,k5_numbers))),k3_xcmplx_0(k7_xcmplx_0(D,2),E)),k7_xcmplx_0(D,2)),k1_numbers) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [F] : ( m1_subset_1(F,k1_numbers) => k3_funct_2(k1_numbers,k1_numbers,E,F) = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,F),k7_partfun1(u1_struct_0(A),B,k5_numbers))),k6_xcmplx_0(k1_funct_1(C,F),k1_funct_1(C,k5_numbers))),k3_xcmplx_0(k7_xcmplx_0(D,2),F)),k7_xcmplx_0(D,2)) ) ) ) ) )).
fof(s8_funct_2__e2_10__finance2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => r2_hidden(k1_seq_4(k10_subset_1(A,k4_ordinal1)),k9_setfam_1(k4_ordinal1)) ) => ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k4_ordinal1)))) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_funct_2(k4_ordinal1,k9_setfam_1(k4_ordinal1),A,B) = k1_seq_4(k10_subset_1(B,k4_ordinal1)) ) ) )).
fof(s8_funct_2__e2_84_4__waybel_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) & ~ v2_struct_0(C) & v1_orders_2(C) & l1_orders_2(C) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => r2_hidden(k1_xfamily(D),u1_struct_0(B)) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) = k1_xfamily(E) ) ) ) ) )).
fof(s8_funct_2__e31_37_1_1_2__abian,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m2_subset_1(C,k1_zfmisc_1(A),k8_eqrel_1(A,k2_abian(A,B))) & m2_subset_1(D,A,C) ) => ( ! [E] : ( m1_subset_1(E,C) => r2_hidden(a_5_2_abian(A,B,C,D,E),k9_setfam_1(k4_ordinal1)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,C,k9_setfam_1(k4_ordinal1)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(k4_ordinal1)))) & ! [F] : ( m1_subset_1(F,C) => k3_funct_2(C,k9_setfam_1(k4_ordinal1),E,F) = a_5_2_abian(A,B,C,D,F) ) ) ) ) )).
fof(s8_funct_2__e3_4__yoneda_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u4_struct_0(A)) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_hidden(k4_tarski(k4_tarski(k2_cat_1(A,k4_graph_1(A,B),C),k2_cat_1(A,k3_graph_1(A,B),C)),k18_ens_1(A,C,B)),u4_struct_0(k1_yoneda_1(A))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u4_struct_0(k1_yoneda_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u4_struct_0(k1_yoneda_1(A))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u4_struct_0(k1_yoneda_1(A)),C,D) = k4_tarski(k4_tarski(k2_cat_1(A,k4_graph_1(A,B),D),k2_cat_1(A,k3_graph_1(A,B),D)),k18_ens_1(A,D,B)) ) ) ) ) )).
fof(s8_funct_2__e7_72__dualsp01,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m1_dualsp01(B,A) & m1_subset_1(C,u1_struct_0(k17_dualsp01(B))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_hidden(k3_xcmplx_0(k2_normsp_0(k17_dualsp01(B),C),k2_normsp_0(A,D)),k1_numbers) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_xcmplx_0(k2_normsp_0(k17_dualsp01(B),C),k2_normsp_0(A,E)) ) ) ) ) )).
fof(s8_funct_2__e8_12_1_1_1__ramsey_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_funct_1(D) & v1_funct_2(D,k3_group_10(C,k1_nat_1(A,1)),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(C,k1_nat_1(A,1)),B))) & m1_subset_1(F,E) & ~ v1_xboole_0(G) ) => ( ! [H] : ( m1_subset_1(H,G) => r2_hidden(k1_funct_1(D,k2_xboole_0(H,k1_tarski(F))),B) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,G,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(G,B))) & ! [I] : ( m1_subset_1(I,G) => k3_funct_2(G,B,H,I) = k1_funct_1(D,k2_xboole_0(I,k1_tarski(F))) ) ) ) ) )).
fof(s8_int_1__e26_164__pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_partfun1(D,A) & v1_relat_2(D) & v4_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(E,k4_ordinal1) ) => ( ( k7_partfun1(A,k7_pre_poly(A,C,D),1) = k7_partfun1(A,k7_pre_poly(A,B,D),1) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,F) ) => k7_partfun1(A,k7_pre_poly(A,C,D),G) = k7_partfun1(A,k7_pre_poly(A,B,D),G) ) ) ) => ( r1_xxreal_0(E,F) | k7_partfun1(A,k7_pre_poly(A,C,D),k1_nat_1(F,1)) = k7_partfun1(A,k7_pre_poly(A,B,D),k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) => k7_partfun1(A,k7_pre_poly(A,C,D),F) = k7_partfun1(A,k7_pre_poly(A,B,D),F) ) ) ) ) )).
fof(s8_int_1__e28_165__pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_partfun1(D,A) & v1_relat_2(D) & v4_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(E,k4_ordinal1) ) => ( ( k7_partfun1(A,k7_pre_poly(A,C,D),k1_nat_1(E,1)) = k7_partfun1(A,k7_pre_poly(A,B,D),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(E,F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(E,G) & r1_xxreal_0(G,F) ) => k7_partfun1(A,k7_pre_poly(A,C,D),k1_nat_1(G,1)) = k7_partfun1(A,k7_pre_poly(A,B,D),G) ) ) ) => ( r1_xxreal_0(k3_finseq_1(k7_pre_poly(A,B,D)),F) | k7_partfun1(A,k7_pre_poly(A,C,D),k1_nat_1(k1_nat_1(F,1),1)) = k7_partfun1(A,k7_pre_poly(A,B,D),k1_nat_1(F,1)) ) ) ) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(E,F) & r1_xxreal_0(F,k3_finseq_1(k7_pre_poly(A,B,D))) ) => k7_partfun1(A,k7_pre_poly(A,C,D),k1_nat_1(F,1)) = k7_partfun1(A,k7_pre_poly(A,B,D),F) ) ) ) ) )).
fof(s8_msafree5__e18_265__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ v1_xboole_0(D) & m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(E) & m2_finseq_1(E,k9_xtuple_0(C)) & v17_msafree5(F,A,B,D) & m2_finseq_1(F,k3_card_3(B)) & v18_msafree5(G,A,B,D) & m2_finseq_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ? [H] : ( ~ v1_xboole_0(H) & v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & v6_trees_3(H) & k4_finseq_1(H) = k4_finseq_1(D) & k1_funct_1(H,1) = k7_trees_2(C,k7_partfun1(k9_xtuple_0(C),E,1),k1_trees_4(k4_tarski(k1_funct_1(o_5_5_msafree5(A,B,D,F,G),1),k1_funct_1(D,1)))) & ! [I] : ( m2_subset_1(I,k4_ordinal1,k4_finseq_1(D)) => ! [J] : ( m2_subset_1(J,k4_ordinal1,k4_finseq_1(D)) => ( J = k2_xcmplx_0(I,1) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v3_trees_2(K) ) => ( K = k1_funct_1(H,I) => k1_funct_1(H,J) = k7_trees_2(k7_trees_2(K,k7_partfun1(k9_xtuple_0(C),E,I),k27_msafree5(A,B,D,G,I)),k7_partfun1(k9_xtuple_0(C),E,k2_xcmplx_0(I,1)),k1_trees_4(k4_tarski(k1_funct_1(o_5_5_msafree5(A,B,D,F,G),k2_xcmplx_0(I,1)),k1_funct_1(D,k2_xcmplx_0(I,1))))) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e10_93__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,1)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,1))),k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,1),2)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,1),2)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,B)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,B))),k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),2)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),2)))) ) => ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,k1_nat_1(B,1))),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,k1_nat_1(B,1)))),k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),2)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),2)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,B)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,B))),k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),2)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),2)))) ) ) ) ) )).
fof(s8_nat_1__e11_198_1_2_2__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m1_subset_1(D,u4_struct_0(A)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) & m2_finseq_1(F,k3_msualg_1(A,D,k1_msafree3(A,B))) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(E)) => ( k9_xtuple_0(k1_funct_1(F,1)) = k4_finseq_1(E) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,1) ) => k1_funct_1(k1_funct_1(F,1),G) = k1_funct_1(k5_msualg_3(A,k1_msafree3(A,B),k10_msafree4(A,B,C),D,k5_msafree5(A,B,k10_msafree4(A,B,C)),E),G) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(k2_xcmplx_0(1,1),G) & r1_xxreal_0(G,k3_finseq_1(E)) ) => k1_funct_1(k1_funct_1(F,1),G) = k1_funct_1(E,G) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & ( r1_xxreal_0(H,k3_finseq_1(E)) => ( k9_xtuple_0(k1_funct_1(F,H)) = k4_finseq_1(E) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(1,I) & r1_xxreal_0(I,H) ) => k1_funct_1(k1_funct_1(F,H),I) = k1_funct_1(k5_msualg_3(A,k1_msafree3(A,B),k10_msafree4(A,B,C),D,k5_msafree5(A,B,k10_msafree4(A,B,C)),E),I) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(k2_xcmplx_0(H,1),I) & r1_xxreal_0(I,k3_finseq_1(E)) ) => k1_funct_1(k1_funct_1(F,H),I) = k1_funct_1(E,I) ) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(H,1),k3_finseq_1(E)) => ( k9_xtuple_0(k1_funct_1(F,k1_nat_1(H,1))) = k4_finseq_1(E) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(1,J) & r1_xxreal_0(J,k1_nat_1(H,1)) ) => k1_funct_1(k1_funct_1(F,k1_nat_1(H,1)),J) = k1_funct_1(k5_msualg_3(A,k1_msafree3(A,B),k10_msafree4(A,B,C),D,k5_msafree5(A,B,k10_msafree4(A,B,C)),E),J) ) ) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_nat_1(H,1),1),J) & r1_xxreal_0(J,k3_finseq_1(E)) ) => k1_funct_1(k1_funct_1(F,k1_nat_1(H,1)),J) = k1_funct_1(E,J) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(H,k3_finseq_1(E)) => ( k9_xtuple_0(k1_funct_1(F,H)) = k4_finseq_1(E) & ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(1,K) & r1_xxreal_0(K,H) ) => k1_funct_1(k1_funct_1(F,H),K) = k1_funct_1(k5_msualg_3(A,k1_msafree3(A,B),k10_msafree4(A,B,C),D,k5_msafree5(A,B,k10_msafree4(A,B,C)),E),K) ) ) & ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(k2_xcmplx_0(H,1),K) & r1_xxreal_0(K,k3_finseq_1(E)) ) => k1_funct_1(k1_funct_1(F,H),K) = k1_funct_1(E,K) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e11_70__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k7_xcmplx_0(1,k3_xcmplx_0(k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(1,1)),k1_square_1(k8_nat_1(k1_numbers,k6_real_3(A),1)))),k7_xcmplx_0(1,k4_real_1(k8_nat_1(k1_numbers,k6_real_3(A),1),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(1,1))))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k7_xcmplx_0(1,k3_xcmplx_0(k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,1)),k1_square_1(k8_nat_1(k1_numbers,k6_real_3(A),B)))),k7_xcmplx_0(1,k4_real_1(k8_nat_1(k1_numbers,k6_real_3(A),B),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))))) ) => ~ r1_xxreal_0(k7_xcmplx_0(1,k3_xcmplx_0(k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(k1_nat_1(B,1),1)),k1_square_1(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))))),k7_xcmplx_0(1,k4_real_1(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k1_nat_1(B,1),1))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k7_xcmplx_0(1,k3_xcmplx_0(k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,1)),k1_square_1(k8_nat_1(k1_numbers,k6_real_3(A),B)))),k7_xcmplx_0(1,k4_real_1(k8_nat_1(k1_numbers,k6_real_3(A),B),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))))) ) ) ) ) )).
fof(s8_nat_1__e11_78__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),1),k3_xcmplx_0(k7_xcmplx_0(1,2),k3_square_1(k1_nat_1(k3_xcmplx_0(2,1),3)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k3_xcmplx_0(k7_xcmplx_0(1,2),k3_square_1(k1_nat_1(k3_xcmplx_0(2,B),3)))) ) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)),k3_xcmplx_0(k7_xcmplx_0(1,2),k3_square_1(k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),3)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k1_series_3(A),B),k3_xcmplx_0(k7_xcmplx_0(1,2),k3_square_1(k1_nat_1(k3_xcmplx_0(2,B),3)))) ) ) ) ) )).
fof(s8_nat_1__e11_84__asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,4),2) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(4,B) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),2) ) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,k1_nat_1(B,1)),2) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(4,B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,A,B),2) ) ) ) ) )).
fof(s8_nat_1__e11_94__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,1),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,1),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,1)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,B)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,B)))) ) => ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,k1_nat_1(B,1))),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,k1_nat_1(B,1))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k3_xcmplx_0(2,B)),k8_nat_1(k1_numbers,k6_real_3(A),k3_xcmplx_0(2,B)))) ) ) ) ) )).
fof(s8_nat_1__e13_7__polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ( ( ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k15_pre_poly(A))) ) => ~ ( k4_card_1(B) = 1 & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ~ ( r2_tarski(C,B) & ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r2_tarski(D,B) => r2_pre_poly(A,D,C) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k15_pre_poly(A))) ) => ~ ( k4_card_1(F) = E & ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ~ ( r2_tarski(G,F) & ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,A) & v1_funct_1(H) & v1_partfun1(H,A) & v4_valued_0(H) & v2_pre_poly(H) ) => ( r2_tarski(H,F) => r2_pre_poly(A,H,G) ) ) ) ) ) ) ) => ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(k15_pre_poly(A))) ) => ~ ( k4_card_1(I) = k1_nat_1(E,1) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,A) & v1_funct_1(J) & v1_partfun1(J,A) & v4_valued_0(J) & v2_pre_poly(J) ) => ~ ( r2_tarski(J,I) & ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,A) & v1_funct_1(K) & v1_partfun1(K,A) & v4_valued_0(K) & v2_pre_poly(K) ) => ( r2_tarski(K,I) => r2_pre_poly(A,K,J) ) ) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ! [L] : ( ( v1_finset_1(L) & m1_subset_1(L,k1_zfmisc_1(k15_pre_poly(A))) ) => ~ ( k4_card_1(L) = E & ! [M] : ( ( v1_relat_1(M) & v4_relat_1(M,A) & v1_funct_1(M) & v1_partfun1(M,A) & v4_valued_0(M) & v2_pre_poly(M) ) => ~ ( r2_tarski(M,L) & ! [N] : ( ( v1_relat_1(N) & v4_relat_1(N,A) & v1_funct_1(N) & v1_partfun1(N,A) & v4_valued_0(N) & v2_pre_poly(N) ) => ( r2_tarski(N,L) => r2_pre_poly(A,N,M) ) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e13_92__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,1),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,1),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,1),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,1),1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1)))) ) => ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,k1_nat_1(B,1)),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k7_xcmplx_0(k1_funct_1(k5_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k3_xcmplx_0(2,B),1))),k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k3_xcmplx_0(2,B),1)))) ) ) ) ) )).
fof(s8_nat_1__e14_198_1_2_2__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) & m1_subset_1(D,u4_struct_0(A)) & m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) & m2_finseq_1(F,k3_msualg_1(A,D,k1_msafree3(A,B))) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(E)) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k2_msualg_1(A,D)),k7_msafree5(A,B,D,E),k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),k1_funct_1(F,1))) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & ( r1_xxreal_0(G,k3_finseq_1(E)) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k2_msualg_1(A,D)),k7_msafree5(A,B,D,E),k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),k1_funct_1(F,G))) ) ) => ( r1_xxreal_0(k1_nat_1(G,1),k3_finseq_1(E)) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k2_msualg_1(A,D)),k7_msafree5(A,B,D,E),k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),k1_funct_1(F,k1_nat_1(G,1)))) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ( r1_xxreal_0(G,k3_finseq_1(E)) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k2_msualg_1(A,D)),k7_msafree5(A,B,D,E),k1_funct_1(k5_msualg_1(A,D,k1_msafree3(A,B)),k1_funct_1(F,G))) ) ) ) ) ) )).
fof(s8_nat_1__e16_84__asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k7_xcmplx_0(1,k6_xcmplx_0(4,2)),k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k4_asympt_1(1),A),4)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(4,B) & ~ r1_xxreal_0(k7_xcmplx_0(1,k6_xcmplx_0(B,2)),k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k4_asympt_1(1),A),B)) ) => ~ r1_xxreal_0(k7_xcmplx_0(1,k6_xcmplx_0(k1_nat_1(B,1),2)),k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k4_asympt_1(1),A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(4,B) => ~ r1_xxreal_0(k7_xcmplx_0(1,k6_xcmplx_0(B,2)),k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k4_asympt_1(1),A),B)) ) ) ) ) )).
fof(s8_nat_1__e18_41__jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_topreal1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v3_topreal1(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( ( r1_xxreal_0(2,k3_finseq_1(C)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ( D = k2_partfun1(k4_ordinal1,u1_struct_0(k15_euclid(2)),C,k2_finseq_1(2)) => ( ( v1_abian(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,D)))) & m1_subset_1(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,D))),k4_ordinal1) ) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B))),E) & r2_tarski(k1_funct_1(D,1),E) & r2_tarski(k1_funct_1(D,k3_finseq_1(D)),E) ) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(2,F) & ( r1_xxreal_0(F,k3_finseq_1(C)) => ! [G] : ( m2_finseq_1(G,u1_struct_0(k15_euclid(2))) => ( G = k2_partfun1(k4_ordinal1,u1_struct_0(k15_euclid(2)),C,k2_finseq_1(F)) => ( ( v1_abian(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,G)))) & m1_subset_1(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,G))),k4_ordinal1) ) <=> ? [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B))),H) & r2_tarski(k1_funct_1(G,1),H) & r2_tarski(k1_funct_1(G,k3_finseq_1(G)),H) ) ) ) ) ) ) => ( r1_xxreal_0(k1_nat_1(F,1),k3_finseq_1(C)) => ! [I] : ( m2_finseq_1(I,u1_struct_0(k15_euclid(2))) => ( I = k2_partfun1(k4_ordinal1,u1_struct_0(k15_euclid(2)),C,k2_finseq_1(k1_nat_1(F,1))) => ( ( v1_abian(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,I)))) & m1_subset_1(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,I))),k4_ordinal1) ) <=> ? [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B))),J) & r2_tarski(k1_funct_1(I,1),J) & r2_tarski(k1_funct_1(I,k3_finseq_1(I)),J) ) ) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(2,F) => ( r1_xxreal_0(F,k3_finseq_1(C)) => ! [K] : ( m2_finseq_1(K,u1_struct_0(k15_euclid(2))) => ( K = k2_partfun1(k4_ordinal1,u1_struct_0(k15_euclid(2)),C,k2_finseq_1(F)) => ( ( v1_abian(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,K)))) & m1_subset_1(k1_card_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,K))),k4_ordinal1) ) <=> ? [L] : ( m1_subset_1(L,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),A,B))),L) & r2_tarski(k1_funct_1(K,1),L) & r2_tarski(k1_funct_1(K,k3_finseq_1(K)),L) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e24_265__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ v1_xboole_0(D) & m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(E) & m2_finseq_1(E,k9_xtuple_0(C)) & v17_msafree5(F,A,B,D) & m2_finseq_1(F,k3_card_3(B)) & v18_msafree5(G,A,B,D) & m2_finseq_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m2_finseq_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [I] : ( m2_subset_1(I,k4_ordinal1,k4_finseq_1(D)) => ( 1 = I => ( v8_msafree5(k1_funct_1(H,I),A,B,k1_msafree3(A,B),k25_msafree5(A,D,I),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),I)) & m1_subset_1(k1_funct_1(H,I),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r1_tarski(k9_xtuple_0(C),k9_xtuple_0(k1_funct_1(H,I))) & k1_funct_1(k1_funct_1(H,I),k7_partfun1(k9_xtuple_0(C),E,I)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,I)),u1_struct_0(A),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),I),k25_msafree5(A,D,I)) & ! [J] : ( m2_subset_1(J,k4_ordinal1,k4_finseq_1(D)) => ( ~ r1_xxreal_0(J,I) => ( v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),H,I),A,B,k1_msafree3(A,B),k25_msafree5(A,D,J),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),J)) & k1_funct_1(k1_funct_1(H,I),k7_partfun1(k9_xtuple_0(C),E,J)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,J)),u1_struct_0(A),k26_msafree5(A,B,D,F,J),k25_msafree5(A,D,J)) ) ) ) ) ) ) & ! [K] : ( v7_ordinal1(K) => ( ( r1_xxreal_0(1,K) & ! [L] : ( m2_subset_1(L,k4_ordinal1,k4_finseq_1(D)) => ( K = L => ( v8_msafree5(k1_funct_1(H,L),A,B,k1_msafree3(A,B),k25_msafree5(A,D,L),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),L)) & m1_subset_1(k1_funct_1(H,L),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r1_tarski(k9_xtuple_0(C),k9_xtuple_0(k1_funct_1(H,L))) & k1_funct_1(k1_funct_1(H,L),k7_partfun1(k9_xtuple_0(C),E,L)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,L)),u1_struct_0(A),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),L),k25_msafree5(A,D,L)) & ! [M] : ( m2_subset_1(M,k4_ordinal1,k4_finseq_1(D)) => ( ~ r1_xxreal_0(M,L) => ( v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),H,L),A,B,k1_msafree3(A,B),k25_msafree5(A,D,M),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),M)) & k1_funct_1(k1_funct_1(H,L),k7_partfun1(k9_xtuple_0(C),E,M)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,M)),u1_struct_0(A),k26_msafree5(A,B,D,F,M),k25_msafree5(A,D,M)) ) ) ) ) ) ) ) => ! [N] : ( m2_subset_1(N,k4_ordinal1,k4_finseq_1(D)) => ( k1_nat_1(K,1) = N => ( v8_msafree5(k1_funct_1(H,N),A,B,k1_msafree3(A,B),k25_msafree5(A,D,N),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),N)) & m1_subset_1(k1_funct_1(H,N),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r1_tarski(k9_xtuple_0(C),k9_xtuple_0(k1_funct_1(H,N))) & k1_funct_1(k1_funct_1(H,N),k7_partfun1(k9_xtuple_0(C),E,N)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,N)),u1_struct_0(A),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),N),k25_msafree5(A,D,N)) & ! [O] : ( m2_subset_1(O,k4_ordinal1,k4_finseq_1(D)) => ( ~ r1_xxreal_0(O,N) => ( v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),H,N),A,B,k1_msafree3(A,B),k25_msafree5(A,D,O),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),O)) & k1_funct_1(k1_funct_1(H,N),k7_partfun1(k9_xtuple_0(C),E,O)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,O)),u1_struct_0(A),k26_msafree5(A,B,D,F,O),k25_msafree5(A,D,O)) ) ) ) ) ) ) ) ) ) => ! [K] : ( v7_ordinal1(K) => ( r1_xxreal_0(1,K) => ! [P] : ( m2_subset_1(P,k4_ordinal1,k4_finseq_1(D)) => ( K = P => ( v8_msafree5(k1_funct_1(H,P),A,B,k1_msafree3(A,B),k25_msafree5(A,D,P),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),P)) & m1_subset_1(k1_funct_1(H,P),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r1_tarski(k9_xtuple_0(C),k9_xtuple_0(k1_funct_1(H,P))) & k1_funct_1(k1_funct_1(H,P),k7_partfun1(k9_xtuple_0(C),E,P)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,P)),u1_struct_0(A),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),P),k25_msafree5(A,D,P)) & ! [Q] : ( m2_subset_1(Q,k4_ordinal1,k4_finseq_1(D)) => ( ~ r1_xxreal_0(Q,P) => ( v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),H,P),A,B,k1_msafree3(A,B),k25_msafree5(A,D,Q),k26_msafree5(A,B,D,o_5_5_msafree5(A,B,D,F,G),Q)) & k1_funct_1(k1_funct_1(H,P),k7_partfun1(k9_xtuple_0(C),E,Q)) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,k25_msafree5(A,D,Q)),u1_struct_0(A),k26_msafree5(A,B,D,F,Q),k25_msafree5(A,D,Q)) ) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e26_92__afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_valued_0(A) & v1_finset_1(A) & v1_xreal_0(B) & m1_subset_1(C,k4_ordinal1) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ( r1_xxreal_0(C,C) => ( r1_xxreal_0(k1_afinsq_1(A),C) | r1_xxreal_0(B,k8_nat_1(k1_numbers,D,C)) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(C,E) & ( r1_xxreal_0(C,E) => ( r1_xxreal_0(k1_afinsq_1(A),E) | r1_xxreal_0(B,k8_nat_1(k1_numbers,D,E)) ) ) ) => ( r1_xxreal_0(C,k1_nat_1(E,1)) => ( r1_xxreal_0(k1_afinsq_1(A),k1_nat_1(E,1)) | r1_xxreal_0(B,k8_nat_1(k1_numbers,D,k1_nat_1(E,1))) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(C,E) => ( r1_xxreal_0(C,E) => ( r1_xxreal_0(k1_afinsq_1(A),E) | r1_xxreal_0(B,k8_nat_1(k1_numbers,D,E)) ) ) ) ) ) ) )).
fof(s8_nat_1__e31_45_1_2_1__matrixj2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) & m1_matrlin(C,A,B) & m1_matrixj2(D,A,k4_struct_0(A)) & v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),k3_finseq_1(C),k3_finseq_1(C)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) & m1_subset_1(F,k4_ordinal1) ) => ( ( k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(k7_nat_d(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,k4_struct_0(A),k1_matrixj1(k10_matrixj1(u1_struct_0(A),D),F),D))),F),1)),k7_partfun1(u1_struct_0(B),C,F)) = k4_struct_0(B) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(k7_nat_d(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,k4_struct_0(A),k1_matrixj1(k10_matrixj1(u1_struct_0(A),D),F),D))),F),G) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(G,1)),k7_partfun1(u1_struct_0(B),C,F)) = k4_struct_0(B) ) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(k1_nat_1(G,1),1)),k7_partfun1(u1_struct_0(B),C,F)) = k4_struct_0(B) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(k7_nat_d(k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,k4_struct_0(A),k1_matrixj1(k10_matrixj1(u1_struct_0(A),D),F),D))),F),G) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),k1_nat_1(G,1)),k7_partfun1(u1_struct_0(B),C,F)) = k4_struct_0(B) ) ) ) ) )).
fof(s8_nat_1__e3_101__asympt_1,axiom,( ( ? [A] : ( m1_subset_1(A,k4_ordinal1) & r1_xxreal_0(k7_newton(A),1) & ~ r1_xxreal_0(k7_newton(k1_nat_1(A,1)),1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(k7_newton(B),1) => ( r1_xxreal_0(k7_newton(k1_nat_1(B,1)),1) | B = A ) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & ? [D] : ( m1_subset_1(D,k4_ordinal1) & r1_xxreal_0(k7_newton(D),C) & ~ r1_xxreal_0(k7_newton(k1_nat_1(D,1)),C) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(k7_newton(E),C) => ( r1_xxreal_0(k7_newton(k1_nat_1(E,1)),C) | E = D ) ) ) ) ) => ? [F] : ( m1_subset_1(F,k4_ordinal1) & r1_xxreal_0(k7_newton(F),k1_nat_1(C,1)) & ~ r1_xxreal_0(k7_newton(k1_nat_1(F,1)),k1_nat_1(C,1)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( r1_xxreal_0(k7_newton(G),k1_nat_1(C,1)) => ( r1_xxreal_0(k7_newton(k1_nat_1(G,1)),k1_nat_1(C,1)) | G = F ) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ? [H] : ( m1_subset_1(H,k4_ordinal1) & r1_xxreal_0(k7_newton(H),C) & ~ r1_xxreal_0(k7_newton(k1_nat_1(H,1)),C) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( r1_xxreal_0(k7_newton(I),C) => ( r1_xxreal_0(k7_newton(k1_nat_1(I,1)),C) | I = H ) ) ) ) ) ) )).
fof(s8_nat_1__e3_14__radix_5,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,1) & m2_finseq_1(B,k3_radix_1(A)) ) => ! [C] : ( ( v3_card_1(C,1) & m2_finseq_1(C,k3_radix_1(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(1)) => k4_radix_1(D,A,1,B) = k4_radix_1(D,A,1,C) ) ) => k8_radix_1(1,A,B) = k8_radix_1(1,A,C) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v3_card_1(G,E) & m2_finseq_1(G,k3_radix_1(F)) ) => ! [H] : ( ( v3_card_1(H,E) & m2_finseq_1(H,k3_radix_1(F)) ) => ( ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k2_finseq_1(E)) => k4_radix_1(I,F,E,G) = k4_radix_1(I,F,E,H) ) ) => k8_radix_1(E,F,G) = k8_radix_1(E,F,H) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v3_card_1(K,k1_nat_1(E,1)) & m2_finseq_1(K,k3_radix_1(J)) ) => ! [L] : ( ( v3_card_1(L,k1_nat_1(E,1)) & m2_finseq_1(L,k3_radix_1(J)) ) => ( ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k2_finseq_1(k1_nat_1(E,1))) => k4_radix_1(M,J,k1_nat_1(E,1),K) = k4_radix_1(M,J,k1_nat_1(E,1),L) ) ) => k8_radix_1(k1_nat_1(E,1),J,K) = k8_radix_1(k1_nat_1(E,1),J,L) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ! [N] : ( v7_ordinal1(N) => ! [O] : ( ( v3_card_1(O,E) & m2_finseq_1(O,k3_radix_1(N)) ) => ! [P] : ( ( v3_card_1(P,E) & m2_finseq_1(P,k3_radix_1(N)) ) => ( ! [Q] : ( v7_ordinal1(Q) => ( r2_tarski(Q,k2_finseq_1(E)) => k4_radix_1(Q,N,E,O) = k4_radix_1(Q,N,E,P) ) ) => k8_radix_1(E,N,O) = k8_radix_1(E,N,P) ) ) ) ) ) ) )).
fof(s8_nat_1__e3_15__radix_5,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,1) & m2_finseq_1(B,k3_radix_1(A)) ) => ! [C] : ( ( v3_card_1(C,1) & m2_finseq_1(C,k3_radix_1(A)) ) => ( ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(1)) => r1_xxreal_0(k4_radix_1(D,A,1,C),k4_radix_1(D,A,1,B)) ) ) => r1_xxreal_0(k8_radix_1(1,A,C),k8_radix_1(1,A,B)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v3_card_1(G,E) & m2_finseq_1(G,k3_radix_1(F)) ) => ! [H] : ( ( v3_card_1(H,E) & m2_finseq_1(H,k3_radix_1(F)) ) => ( ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k2_finseq_1(E)) => r1_xxreal_0(k4_radix_1(I,F,E,H),k4_radix_1(I,F,E,G)) ) ) => r1_xxreal_0(k8_radix_1(E,F,H),k8_radix_1(E,F,G)) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v3_card_1(K,k1_nat_1(E,1)) & m2_finseq_1(K,k3_radix_1(J)) ) => ! [L] : ( ( v3_card_1(L,k1_nat_1(E,1)) & m2_finseq_1(L,k3_radix_1(J)) ) => ( ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k2_finseq_1(k1_nat_1(E,1))) => r1_xxreal_0(k4_radix_1(M,J,k1_nat_1(E,1),L),k4_radix_1(M,J,k1_nat_1(E,1),K)) ) ) => r1_xxreal_0(k8_radix_1(k1_nat_1(E,1),J,L),k8_radix_1(k1_nat_1(E,1),J,K)) ) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ! [N] : ( v7_ordinal1(N) => ! [O] : ( ( v3_card_1(O,E) & m2_finseq_1(O,k3_radix_1(N)) ) => ! [P] : ( ( v3_card_1(P,E) & m2_finseq_1(P,k3_radix_1(N)) ) => ( ! [Q] : ( v7_ordinal1(Q) => ( r2_tarski(Q,k2_finseq_1(E)) => r1_xxreal_0(k4_radix_1(Q,N,E,P),k4_radix_1(Q,N,E,O)) ) ) => r1_xxreal_0(k8_radix_1(E,N,P),k8_radix_1(E,N,O)) ) ) ) ) ) ) )).
fof(s8_nat_1__e3_16__radix_5,axiom,( ( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ! [B] : ( ( v3_card_1(B,1) & m2_finseq_1(B,k3_radix_1(A)) ) => ! [C] : ( ( v3_card_1(C,1) & m2_finseq_1(C,k3_radix_1(A)) ) => ! [D] : ( ( v3_card_1(D,1) & m2_finseq_1(D,k3_radix_1(A)) ) => ! [E] : ( ( v3_card_1(E,1) & m2_finseq_1(E,k3_radix_1(A)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(1)) & ~ ( k4_radix_1(F,A,1,B) = k4_radix_1(F,A,1,D) & k4_radix_1(F,A,1,C) = k4_radix_1(F,A,1,E) ) & ~ ( k4_radix_1(F,A,1,C) = k4_radix_1(F,A,1,D) & k4_radix_1(F,A,1,B) = k4_radix_1(F,A,1,E) ) ) ) => k2_xcmplx_0(k8_radix_1(1,A,D),k8_radix_1(1,A,E)) = k2_xcmplx_0(k8_radix_1(1,A,B),k8_radix_1(1,A,C)) ) ) ) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(2,H) => ! [I] : ( ( v3_card_1(I,G) & m2_finseq_1(I,k3_radix_1(H)) ) => ! [J] : ( ( v3_card_1(J,G) & m2_finseq_1(J,k3_radix_1(H)) ) => ! [K] : ( ( v3_card_1(K,G) & m2_finseq_1(K,k3_radix_1(H)) ) => ! [L] : ( ( v3_card_1(L,G) & m2_finseq_1(L,k3_radix_1(H)) ) => ( ! [M] : ( v7_ordinal1(M) => ~ ( r2_tarski(M,k2_finseq_1(G)) & ~ ( k4_radix_1(M,H,G,I) = k4_radix_1(M,H,G,K) & k4_radix_1(M,H,G,J) = k4_radix_1(M,H,G,L) ) & ~ ( k4_radix_1(M,H,G,J) = k4_radix_1(M,H,G,K) & k4_radix_1(M,H,G,I) = k4_radix_1(M,H,G,L) ) ) ) => k2_xcmplx_0(k8_radix_1(G,H,K),k8_radix_1(G,H,L)) = k2_xcmplx_0(k8_radix_1(G,H,I),k8_radix_1(G,H,J)) ) ) ) ) ) ) ) ) => ! [N] : ( v7_ordinal1(N) => ( r1_xxreal_0(2,N) => ! [O] : ( ( v3_card_1(O,k1_nat_1(G,1)) & m2_finseq_1(O,k3_radix_1(N)) ) => ! [P] : ( ( v3_card_1(P,k1_nat_1(G,1)) & m2_finseq_1(P,k3_radix_1(N)) ) => ! [Q] : ( ( v3_card_1(Q,k1_nat_1(G,1)) & m2_finseq_1(Q,k3_radix_1(N)) ) => ! [R] : ( ( v3_card_1(R,k1_nat_1(G,1)) & m2_finseq_1(R,k3_radix_1(N)) ) => ( ! [S] : ( v7_ordinal1(S) => ~ ( r2_tarski(S,k2_finseq_1(k1_nat_1(G,1))) & ~ ( k4_radix_1(S,N,k1_nat_1(G,1),O) = k4_radix_1(S,N,k1_nat_1(G,1),Q) & k4_radix_1(S,N,k1_nat_1(G,1),P) = k4_radix_1(S,N,k1_nat_1(G,1),R) ) & ~ ( k4_radix_1(S,N,k1_nat_1(G,1),P) = k4_radix_1(S,N,k1_nat_1(G,1),Q) & k4_radix_1(S,N,k1_nat_1(G,1),O) = k4_radix_1(S,N,k1_nat_1(G,1),R) ) ) ) => k2_xcmplx_0(k8_radix_1(k1_nat_1(G,1),N,Q),k8_radix_1(k1_nat_1(G,1),N,R)) = k2_xcmplx_0(k8_radix_1(k1_nat_1(G,1),N,O),k8_radix_1(k1_nat_1(G,1),N,P)) ) ) ) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ! [T] : ( v7_ordinal1(T) => ( r1_xxreal_0(2,T) => ! [U] : ( ( v3_card_1(U,G) & m2_finseq_1(U,k3_radix_1(T)) ) => ! [V] : ( ( v3_card_1(V,G) & m2_finseq_1(V,k3_radix_1(T)) ) => ! [W] : ( ( v3_card_1(W,G) & m2_finseq_1(W,k3_radix_1(T)) ) => ! [X] : ( ( v3_card_1(X,G) & m2_finseq_1(X,k3_radix_1(T)) ) => ( ! [Y] : ( v7_ordinal1(Y) => ~ ( r2_tarski(Y,k2_finseq_1(G)) & ~ ( k4_radix_1(Y,T,G,U) = k4_radix_1(Y,T,G,W) & k4_radix_1(Y,T,G,V) = k4_radix_1(Y,T,G,X) ) & ~ ( k4_radix_1(Y,T,G,V) = k4_radix_1(Y,T,G,W) & k4_radix_1(Y,T,G,U) = k4_radix_1(Y,T,G,X) ) ) ) => k2_xcmplx_0(k8_radix_1(G,T,W),k8_radix_1(G,T,X)) = k2_xcmplx_0(k8_radix_1(G,T,U),k8_radix_1(G,T,V)) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e3_17__asympt_1,axiom,( ( ~ r1_xxreal_0(k5_series_1(2,4),k1_nat_1(k3_xcmplx_0(2,4),3)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(4,A) & ~ r1_xxreal_0(k5_series_1(2,A),k1_nat_1(k3_xcmplx_0(2,A),3)) ) => ~ r1_xxreal_0(k5_series_1(2,k1_nat_1(A,1)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),3)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(4,A) => ~ r1_xxreal_0(k5_series_1(2,A),k1_nat_1(k3_xcmplx_0(2,A),3)) ) ) )).
fof(s8_nat_1__e3_18__asympt_1,axiom,( ( ~ r1_xxreal_0(k5_series_1(2,6),k1_square_1(k1_nat_1(6,1))) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(6,A) & ~ r1_xxreal_0(k5_series_1(2,A),k1_square_1(k1_nat_1(A,1))) ) => ~ r1_xxreal_0(k5_series_1(2,k1_nat_1(A,1)),k1_square_1(k1_nat_1(k1_nat_1(A,1),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(6,A) => ~ r1_xxreal_0(k5_series_1(2,A),k1_square_1(k1_nat_1(A,1))) ) ) )).
fof(s8_nat_1__e3_28__asympt_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & m1_subset_1(C,k4_ordinal1) ) => ( ( ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(C,1),D) & r1_xxreal_0(D,k1_nat_1(C,1)) ) => r1_xxreal_0(k8_nat_1(k1_numbers,A,D),k8_nat_1(k1_numbers,B,D)) ) ) => r1_xxreal_0(k7_series_1(A,k1_nat_1(C,1),C),k7_series_1(B,k1_nat_1(C,1),C)) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(k1_nat_1(C,1),E) & ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(C,1),F) & r1_xxreal_0(F,E) ) => r1_xxreal_0(k8_nat_1(k1_numbers,A,F),k8_nat_1(k1_numbers,B,F)) ) ) => r1_xxreal_0(k7_series_1(A,E,C),k7_series_1(B,E,C)) ) ) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(C,1),G) & r1_xxreal_0(G,k1_nat_1(E,1)) ) => r1_xxreal_0(k8_nat_1(k1_numbers,A,G),k8_nat_1(k1_numbers,B,G)) ) ) => r1_xxreal_0(k7_series_1(A,k1_nat_1(E,1),C),k7_series_1(B,k1_nat_1(E,1),C)) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_nat_1(C,1),E) => ( ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r1_xxreal_0(k1_nat_1(C,1),H) & r1_xxreal_0(H,E) ) => r1_xxreal_0(k8_nat_1(k1_numbers,A,H),k8_nat_1(k1_numbers,B,H)) ) ) => r1_xxreal_0(k7_series_1(A,E,C),k7_series_1(B,E,C)) ) ) ) ) ) )).
fof(s8_nat_1__e3_2__radix_6,axiom,( ( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) ) => k8_radix_1(k2_xcmplx_0(A,1),B,k6_radix_5(k2_xcmplx_0(A,1),A,B)) = k8_radix_1(A,B,k6_radix_5(A,A,B)) ) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(2,E) ) => k8_radix_1(k2_xcmplx_0(D,C),E,k6_radix_5(k2_xcmplx_0(D,C),D,E)) = k8_radix_1(D,E,k6_radix_5(D,D,E)) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(2,G) ) => k8_radix_1(k2_xcmplx_0(F,k1_nat_1(C,1)),G,k6_radix_5(k2_xcmplx_0(F,k1_nat_1(C,1)),F,G)) = k8_radix_1(F,G,k6_radix_5(F,F,G)) ) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(2,I) ) => k8_radix_1(k2_xcmplx_0(H,C),I,k6_radix_5(k2_xcmplx_0(H,C),H,I)) = k8_radix_1(H,I,k6_radix_5(H,H,I)) ) ) ) ) ) )).
fof(s8_nat_1__e3_37_3__asympt_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k4_ordinal1) & m1_subset_1(B,k4_ordinal1) ) => ( ( ~ r1_xxreal_0(k3_xcmplx_0(27,k1_square_1(400)),k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(18,A),400),k2_nat_1(3,B))) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(400,C) & ~ r1_xxreal_0(k3_xcmplx_0(27,k1_square_1(C)),k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(18,A),C),k2_nat_1(3,B))) ) => ~ r1_xxreal_0(k3_xcmplx_0(27,k1_square_1(k1_nat_1(C,1))),k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(18,A),k1_nat_1(C,1)),k2_nat_1(3,B))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(400,C) => ~ r1_xxreal_0(k3_xcmplx_0(27,k1_square_1(C)),k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(18,A),C),k2_nat_1(3,B))) ) ) ) ) )).
fof(s8_nat_1__e3_3__radix_6,axiom,( ( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(2,A) & r1_xxreal_0(k8_radix_1(1,A,k6_radix_5(1,1,A)),k5_numbers) ) ) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(2,C) & r1_xxreal_0(k8_radix_1(B,C,k6_radix_5(B,B,C)),k5_numbers) ) ) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(2,D) & r1_xxreal_0(k8_radix_1(k1_nat_1(B,1),D,k6_radix_5(k1_nat_1(B,1),k1_nat_1(B,1),D)),k5_numbers) ) ) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(2,E) & r1_xxreal_0(k8_radix_1(B,E,k6_radix_5(B,B,E)),k5_numbers) ) ) ) ) )).
fof(s8_nat_1__e3_49__polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( ( k2_binom(A,k4_struct_0(A),1) = k4_struct_0(A) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k2_binom(A,k4_struct_0(A),B) = k4_struct_0(A) ) => k2_binom(A,k4_struct_0(A),k1_nat_1(B,1)) = k4_struct_0(A) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k2_binom(A,k4_struct_0(A),B) = k4_struct_0(A) ) ) ) ) )).
fof(s8_nat_1__e3_54__asympt_1,axiom,( ( r1_xxreal_0(k1_square_1(1),k3_xcmplx_0(2,k2_xcmplx_0(k6_xcmplx_0(k1_square_1(1),1),1))) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_square_1(A),k3_xcmplx_0(2,k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),A),1))) ) => r1_xxreal_0(k1_square_1(k1_nat_1(A,1)),k3_xcmplx_0(2,k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k1_nat_1(A,1)),k1_nat_1(A,1)),1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => r1_xxreal_0(k1_square_1(A),k3_xcmplx_0(2,k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),A),1))) ) ) )).
fof(s8_nat_1__e3_56__vectsp11,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)) ) => ( ( ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(E,B,B) & v1_mod_2(E,A,B,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k3_matrlin(A,B,B,C,k4_matrlin(A,B,B,k3_struct_0(B),D)),1),k3_matrlin(A,B,B,k6_matrlin2(A,B,B,B,E,C),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),D),1))) & ! [F] : ( v7_ordinal1(F) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k6_matrlin2(A,B,B,B,E,k1_vectsp11(B,C,F)),k6_matrlin2(A,B,B,B,k1_vectsp11(B,C,F),E)) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(H,B,B) & v1_mod_2(H,A,B,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k3_matrlin(A,B,B,C,k4_matrlin(A,B,B,k3_struct_0(B),D)),G),k3_matrlin(A,B,B,k6_matrlin2(A,B,B,B,H,C),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),D),G))) & ! [I] : ( v7_ordinal1(I) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k6_matrlin2(A,B,B,B,H,k1_vectsp11(B,C,I)),k6_matrlin2(A,B,B,B,k1_vectsp11(B,C,I),H)) ) ) ) => ? [J] : ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(J,B,B) & v1_mod_2(J,A,B,B) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k3_matrlin(A,B,B,C,k4_matrlin(A,B,B,k3_struct_0(B),D)),k1_nat_1(G,1)),k3_matrlin(A,B,B,k6_matrlin2(A,B,B,B,J,C),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),D),k1_nat_1(G,1)))) & ! [K] : ( v7_ordinal1(K) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k6_matrlin2(A,B,B,B,J,k1_vectsp11(B,C,K)),k6_matrlin2(A,B,B,B,k1_vectsp11(B,C,K),J)) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ? [L] : ( v1_funct_1(L) & v1_funct_2(L,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(L,B,B) & v1_mod_2(L,A,B,B) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k3_matrlin(A,B,B,C,k4_matrlin(A,B,B,k3_struct_0(B),D)),G),k3_matrlin(A,B,B,k6_matrlin2(A,B,B,B,L,C),k1_vectsp11(B,k4_matrlin(A,B,B,k3_struct_0(B),D),G))) & ! [M] : ( v7_ordinal1(M) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k6_matrlin2(A,B,B,B,L,k1_vectsp11(B,C,M)),k6_matrlin2(A,B,B,B,k1_vectsp11(B,C,M),L)) ) ) ) ) ) ) )).
fof(s8_nat_1__e3_62__asympt_1,axiom,( ( ~ r1_xxreal_0(k1_square_1(3),k1_nat_1(k3_xcmplx_0(2,3),1)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(3,A) & ~ r1_xxreal_0(k1_square_1(A),k1_nat_1(k3_xcmplx_0(2,A),1)) ) => ~ r1_xxreal_0(k1_square_1(k1_nat_1(A,1)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(A,1)),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(3,A) => ~ r1_xxreal_0(k1_square_1(A),k1_nat_1(k3_xcmplx_0(2,A),1)) ) ) )).
fof(s8_nat_1__e3_64__asympt_1,axiom,( ( ~ r1_xxreal_0(k2_nat_1(2,k5_series_1(9,6)),k5_series_1(k1_nat_1(9,1),6)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(9,A) & ~ r1_xxreal_0(k2_nat_1(2,k5_series_1(A,6)),k5_series_1(k1_nat_1(A,1),6)) ) => ~ r1_xxreal_0(k2_nat_1(2,k5_series_1(k1_nat_1(A,1),6)),k5_series_1(k1_nat_1(k1_nat_1(A,1),1),6)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(9,A) => ~ r1_xxreal_0(k2_nat_1(2,k5_series_1(A,6)),k5_series_1(k1_nat_1(A,1),6)) ) ) )).
fof(s8_nat_1__e3_70__asympt_1,axiom,( ( r1_xxreal_0(k6_xcmplx_0(3,1),k3_xcmplx_0(2,k6_xcmplx_0(3,2))) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(3,A) & r1_xxreal_0(k6_xcmplx_0(A,1),k3_xcmplx_0(2,k6_xcmplx_0(A,2))) ) => r1_xxreal_0(k6_xcmplx_0(k1_nat_1(A,1),1),k3_xcmplx_0(2,k6_xcmplx_0(k1_nat_1(A,1),2))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(3,A) => r1_xxreal_0(k6_xcmplx_0(A,1),k3_xcmplx_0(2,k6_xcmplx_0(A,2))) ) ) )).
fof(s8_nat_1__e3_86__asympt_1,axiom,( ( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(k1_numbers,A,C) = k6_series_1(k3_asympt_1(B),C) ) => r1_xxreal_0(k7_xcmplx_0(k5_series_1(1,k1_nat_1(B,1)),k1_nat_1(B,1)),k8_nat_1(k1_numbers,A,1)) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => k8_nat_1(k1_numbers,E,G) = k6_series_1(k3_asympt_1(F),G) ) => r1_xxreal_0(k7_xcmplx_0(k5_series_1(D,k1_nat_1(F,1)),k1_nat_1(F,1)),k8_nat_1(k1_numbers,E,D)) ) ) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k4_ordinal1,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ! [J] : ( m1_subset_1(J,k4_ordinal1) => k8_nat_1(k1_numbers,H,J) = k6_series_1(k3_asympt_1(I),J) ) => r1_xxreal_0(k7_xcmplx_0(k5_series_1(k1_nat_1(D,1),k1_nat_1(I,1)),k1_nat_1(I,1)),k8_nat_1(k1_numbers,H,k1_nat_1(D,1))) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k4_ordinal1,k1_numbers) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( ! [M] : ( m1_subset_1(M,k4_ordinal1) => k8_nat_1(k1_numbers,K,M) = k6_series_1(k3_asympt_1(L),M) ) => r1_xxreal_0(k7_xcmplx_0(k5_series_1(D,k1_nat_1(L,1)),k1_nat_1(L,1)),k8_nat_1(k1_numbers,K,D)) ) ) ) ) ) )).
fof(s8_nat_1__e3_93__asympt_1,axiom,( ( ~ r1_xxreal_0(k1_square_1(2),k1_nat_1(2,1)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & ~ r1_xxreal_0(k1_square_1(A),k1_nat_1(A,1)) ) => ~ r1_xxreal_0(k1_square_1(k1_nat_1(A,1)),k1_nat_1(k1_nat_1(A,1),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ~ r1_xxreal_0(k1_square_1(A),k1_nat_1(A,1)) ) ) )).
fof(s8_nat_1__e3_99__asympt_1,axiom,( ( ~ r1_xxreal_0(k7_newton(2),1) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & ~ r1_xxreal_0(k7_newton(A),1) ) => ~ r1_xxreal_0(k7_newton(k1_nat_1(A,1)),1) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ~ r1_xxreal_0(k7_newton(A),1) ) ) )).
fof(s8_nat_1__e49_265__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_msualg_6(D,A,k1_msafree3(A,B)) & ~ v1_xboole_0(E) & m2_finseq_1(E,u1_struct_0(A)) & v2_funct_1(F) & m2_finseq_1(F,k9_xtuple_0(C)) & v17_msafree5(G,A,B,E) & m2_finseq_1(G,k3_card_3(B)) & v18_msafree5(H,A,B,E) & m2_finseq_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & v19_msafree5(I,A,B,E,o_5_5_msafree5(A,B,E,G,H)) & m2_finseq_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ( ( ! [J] : ( m2_subset_1(J,k4_ordinal1,k4_finseq_1(E)) => ! [K] : ( m2_subset_1(K,k4_ordinal1,k4_finseq_1(E)) => ( ( 1 = J & r1_xxreal_0(K,J) ) => ( k5_trees_2(k18_msafree5(A,B,k25_msafree5(A,E,J),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),J),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,J),k27_msafree5(A,B,E,H,J)),k7_partfun1(k9_xtuple_0(C),F,K)) = k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C),k7_partfun1(k9_xtuple_0(C),F,K)) & k5_relat_1(k18_msafree5(A,B,k25_msafree5(A,E,J),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),J),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,J),k27_msafree5(A,B,E,H,J)),k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) = k5_relat_1(C,k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ( r1_xxreal_0(1,L) & ! [M] : ( m2_subset_1(M,k4_ordinal1,k4_finseq_1(E)) => ! [N] : ( m2_subset_1(N,k4_ordinal1,k4_finseq_1(E)) => ( ( L = M & r1_xxreal_0(N,M) ) => ( k5_trees_2(k18_msafree5(A,B,k25_msafree5(A,E,M),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),M),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,M),k27_msafree5(A,B,E,H,M)),k7_partfun1(k9_xtuple_0(C),F,N)) = k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C),k7_partfun1(k9_xtuple_0(C),F,N)) & k5_relat_1(k18_msafree5(A,B,k25_msafree5(A,E,M),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),M),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,M),k27_msafree5(A,B,E,H,M)),k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) = k5_relat_1(C,k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) ) ) ) ) ) => ! [O] : ( m2_subset_1(O,k4_ordinal1,k4_finseq_1(E)) => ! [P] : ( m2_subset_1(P,k4_ordinal1,k4_finseq_1(E)) => ( ( k1_nat_1(L,1) = O & r1_xxreal_0(P,O) ) => ( k5_trees_2(k18_msafree5(A,B,k25_msafree5(A,E,O),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),O),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,O),k27_msafree5(A,B,E,H,O)),k7_partfun1(k9_xtuple_0(C),F,P)) = k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C),k7_partfun1(k9_xtuple_0(C),F,P)) & k5_relat_1(k18_msafree5(A,B,k25_msafree5(A,E,O),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),O),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,O),k27_msafree5(A,B,E,H,O)),k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) = k5_relat_1(C,k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) ) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ( r1_xxreal_0(1,L) => ! [Q] : ( m2_subset_1(Q,k4_ordinal1,k4_finseq_1(E)) => ! [R] : ( m2_subset_1(R,k4_ordinal1,k4_finseq_1(E)) => ( ( L = Q & r1_xxreal_0(R,Q) ) => ( k5_trees_2(k18_msafree5(A,B,k25_msafree5(A,E,Q),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),Q),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,Q),k27_msafree5(A,B,E,H,Q)),k7_partfun1(k9_xtuple_0(C),F,R)) = k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C),k7_partfun1(k9_xtuple_0(C),F,R)) & k5_relat_1(k18_msafree5(A,B,k25_msafree5(A,E,Q),k26_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),Q),k28_msafree5(A,B,E,o_5_5_msafree5(A,B,E,G,H),I,Q),k27_msafree5(A,B,E,H,Q)),k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) = k5_relat_1(C,k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e4_11_2_2__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m2_subset_1(C,k1_zfmisc_1(A),B) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( ! [E] : ( v7_ordinal1(E) => ~ ( 1 = E & r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ~ ( r1_xboole_0(k3_tarski(F),k3_tarski(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(E))))) & m1_eqrel_1(k2_xboole_0(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(E))),F),C) ) ) ) ) & ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & ! [H] : ( v7_ordinal1(H) => ~ ( G = H & r1_xxreal_0(1,H) & r1_xxreal_0(H,k3_finseq_1(D)) & ! [I] : ( ( v1_finset_1(I) & m1_subset_1(I,k1_zfmisc_1(B)) ) => ~ ( r1_xboole_0(k3_tarski(I),k3_tarski(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(H))))) & m1_eqrel_1(k2_xboole_0(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(H))),I),C) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ~ ( k1_nat_1(G,1) = J & r1_xxreal_0(1,J) & r1_xxreal_0(J,k3_finseq_1(D)) & ! [K] : ( ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(B)) ) => ~ ( r1_xboole_0(k3_tarski(K),k3_tarski(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(J))))) & m1_eqrel_1(k2_xboole_0(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(J))),K),C) ) ) ) ) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(1,G) => ! [L] : ( v7_ordinal1(L) => ~ ( G = L & r1_xxreal_0(1,L) & r1_xxreal_0(L,k3_finseq_1(D)) & ! [M] : ( ( v1_finset_1(M) & m1_subset_1(M,k1_zfmisc_1(B)) ) => ~ ( r1_xboole_0(k3_tarski(M),k3_tarski(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(L))))) & m1_eqrel_1(k2_xboole_0(k10_xtuple_0(k5_relat_1(D,k2_finseq_1(L))),M),C) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e4_16__newton,axiom,( ( k1_newton(k5_numbers,1) = k5_numbers & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(1,A) & k1_newton(k5_numbers,A) = k5_numbers ) => k1_newton(k5_numbers,k1_nat_1(A,1)) = k5_numbers ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k1_newton(k5_numbers,A) = k5_numbers ) ) )).
fof(s8_nat_1__e4_1__asympt_1,axiom,( ( ~ r1_xxreal_0(k5_series_1(2,2),k1_nat_1(2,1)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & ~ r1_xxreal_0(k5_series_1(2,A),k1_nat_1(A,1)) ) => ~ r1_xxreal_0(k5_series_1(2,k1_nat_1(A,1)),k1_nat_1(k1_nat_1(A,1),1)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ~ r1_xxreal_0(k5_series_1(2,A),k1_nat_1(A,1)) ) ) )).
fof(s8_nat_1__e4_1__radix_4,axiom,( ( ~ r1_xxreal_0(k1_radix_1(2),2) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & ~ r1_xxreal_0(k1_radix_1(A),2) ) => ~ r1_xxreal_0(k1_radix_1(k1_nat_1(A,1)),2) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ~ r1_xxreal_0(k1_radix_1(A),2) ) ) )).
fof(s8_nat_1__e4_2_6__asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k3_xcmplx_0(7,k1_square_1(4)),k8_nat_1(k1_numbers,A,4)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(4,B) & ~ r1_xxreal_0(k3_xcmplx_0(7,k1_square_1(B)),k8_nat_1(k1_numbers,A,B)) ) => ~ r1_xxreal_0(k3_xcmplx_0(7,k1_square_1(k1_nat_1(B,1))),k8_nat_1(k1_numbers,A,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(4,B) => ~ r1_xxreal_0(k3_xcmplx_0(7,k1_square_1(B)),k8_nat_1(k1_numbers,A,B)) ) ) ) ) )).
fof(s8_nat_1__e4_32__newton,axiom,( ( k3_newton(1,1) = 1 & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(1,A) & k3_newton(1,A) = A ) => k3_newton(1,k1_nat_1(A,1)) = k1_nat_1(A,1) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k3_newton(1,A) = A ) ) )).
fof(s8_nat_1__e4_3__radix_5,axiom,( ( r1_xxreal_0(4,k1_radix_1(2)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & r1_xxreal_0(4,k1_radix_1(A)) ) => r1_xxreal_0(4,k1_radix_1(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => r1_xxreal_0(4,k1_radix_1(A)) ) ) )).
fof(s8_nat_1__e4_4__radix_3,axiom,( ( r1_xxreal_0(2,k1_radix_1(1)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(2,k1_radix_1(A)) ) => r1_xxreal_0(2,k1_radix_1(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => r1_xxreal_0(2,k1_radix_1(A)) ) ) )).
fof(s8_nat_1__e4_60__stirl2_1,axiom,( ( k3_stirl2_1(1,2) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k1_newton(2,1),2)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(1,A) & k3_stirl2_1(A,2) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k1_newton(2,A),2)) ) => k3_stirl2_1(k1_nat_1(A,1),2) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k1_newton(2,k1_nat_1(A,1)),2)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k3_stirl2_1(A,2) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k1_newton(2,A),2)) ) ) )).
fof(s8_nat_1__e4_61__stirl2_1,axiom,( ( k3_stirl2_1(2,3) = k3_xcmplx_0(k7_xcmplx_0(1,6),k2_xcmplx_0(k6_xcmplx_0(k1_newton(3,2),k3_xcmplx_0(3,k1_newton(2,2))),3)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & k3_stirl2_1(A,3) = k3_xcmplx_0(k7_xcmplx_0(1,6),k2_xcmplx_0(k6_xcmplx_0(k1_newton(3,A),k3_xcmplx_0(3,k1_newton(2,A))),3)) ) => k3_stirl2_1(k1_nat_1(A,1),3) = k3_xcmplx_0(k7_xcmplx_0(1,6),k2_xcmplx_0(k6_xcmplx_0(k1_newton(3,k1_nat_1(A,1)),k3_xcmplx_0(3,k1_newton(2,k1_nat_1(A,1)))),3)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k3_stirl2_1(A,3) = k3_xcmplx_0(k7_xcmplx_0(1,6),k2_xcmplx_0(k6_xcmplx_0(k1_newton(3,A),k3_xcmplx_0(3,k1_newton(2,A))),3)) ) ) )).
fof(s8_nat_1__e4_63__asympt_1,axiom,( ( ~ r1_xxreal_0(k2_power(2,k6_xcmplx_0(10,1)),k1_square_1(k3_xcmplx_0(2,10))) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(10,A) & ~ r1_xxreal_0(k2_power(2,k6_xcmplx_0(A,1)),k1_square_1(k3_xcmplx_0(2,A))) ) => ~ r1_xxreal_0(k2_power(2,k6_xcmplx_0(k1_nat_1(A,1),1)),k1_square_1(k3_xcmplx_0(2,k1_nat_1(A,1)))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(10,A) => ~ r1_xxreal_0(k2_power(2,k6_xcmplx_0(A,1)),k1_square_1(k3_xcmplx_0(2,A))) ) ) )).
fof(s8_nat_1__e4_63__stirl2_1,axiom,( ( k3_stirl2_1(3,4) = k3_xcmplx_0(k7_xcmplx_0(1,24),k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(4,3),k3_xcmplx_0(4,k1_newton(3,3))),k3_xcmplx_0(6,k1_newton(2,3))),4)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(3,A) & k3_stirl2_1(A,4) = k3_xcmplx_0(k7_xcmplx_0(1,24),k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(4,A),k3_xcmplx_0(4,k1_newton(3,A))),k3_xcmplx_0(6,k1_newton(2,A))),4)) ) => k3_stirl2_1(k1_nat_1(A,1),4) = k3_xcmplx_0(k7_xcmplx_0(1,24),k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(4,k1_nat_1(A,1)),k3_xcmplx_0(4,k1_newton(3,k1_nat_1(A,1)))),k3_xcmplx_0(6,k1_newton(2,k1_nat_1(A,1)))),4)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(3,A) => k3_stirl2_1(A,4) = k3_xcmplx_0(k7_xcmplx_0(1,24),k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(4,A),k3_xcmplx_0(4,k1_newton(3,A))),k3_xcmplx_0(6,k1_newton(2,A))),4)) ) ) )).
fof(s8_nat_1__e4_65__asympt_1,axiom,( ( ~ r1_xxreal_0(k5_series_1(2,30),k5_series_1(30,6)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(30,A) & ~ r1_xxreal_0(k5_series_1(2,A),k5_series_1(A,6)) ) => ~ r1_xxreal_0(k5_series_1(2,k1_nat_1(A,1)),k5_series_1(k1_nat_1(A,1),6)) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(30,A) => ~ r1_xxreal_0(k5_series_1(2,A),k5_series_1(A,6)) ) ) )).
fof(s8_nat_1__e4_8__radix_1,axiom,( ( r1_xxreal_0(k2_xcmplx_0(2,2),k1_radix_1(2)) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & r1_xxreal_0(k2_xcmplx_0(2,2),k1_radix_1(A)) ) => r1_xxreal_0(k2_xcmplx_0(2,2),k1_radix_1(k1_nat_1(A,1))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => r1_xxreal_0(k2_xcmplx_0(2,2),k1_radix_1(A)) ) ) )).
fof(s8_nat_1__e54_100__lexbfs,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A),k4_ordinal1))) ) => ( ( ? [C] : ( m3_glib_001(C,A) & ? [D] : ( m1_subset_1(D,k6_glib_000(A)) & ? [E] : ( m1_subset_1(E,k6_glib_000(A)) & ? [F] : ( m1_subset_1(F,k6_glib_000(A)) & ? [G] : ( m1_subset_1(G,k6_glib_000(A)) & v5_glib_001(C,A) & ~ v1_glib_001(C,A) & ~ v5_chord(C,A) & k15_glib_001(A,C) = k6_xcmplx_0(4,1) & D = k1_funct_1(C,k6_xcmplx_0(k3_finseq_1(C),2)) & E = k1_funct_1(C,3) & F = k4_glib_001(A,C) & G = k3_glib_001(A,C) & ~ r1_xxreal_0(k1_recdef_1(B,G),k1_recdef_1(B,F)) & ~ r1_xxreal_0(k1_recdef_1(B,F),k1_recdef_1(B,E)) & ~ r1_xxreal_0(k1_recdef_1(B,E),k1_recdef_1(B,D)) & ! [H] : ( r2_tarski(H,k13_glib_001(A,C)) => r1_xxreal_0(k1_recdef_1(B,H),k1_recdef_1(B,G)) ) & ! [H] : ( m1_subset_1(H,k6_glib_000(A)) => ~ ( H != G & r1_chord(A,H,E) & ~ r1_chord(A,H,D) & r1_xxreal_0(k1_recdef_1(B,G),k1_recdef_1(B,H)) ) ) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(4,I) & ? [J] : ( m3_glib_001(J,A) & ? [K] : ( m1_subset_1(K,k6_glib_000(A)) & ? [L] : ( m1_subset_1(L,k6_glib_000(A)) & ? [M] : ( m1_subset_1(M,k6_glib_000(A)) & ? [N] : ( m1_subset_1(N,k6_glib_000(A)) & v5_glib_001(J,A) & ~ v1_glib_001(J,A) & ~ v5_chord(J,A) & k15_glib_001(A,J) = k6_xcmplx_0(I,1) & K = k1_funct_1(J,k6_xcmplx_0(k3_finseq_1(J),2)) & L = k1_funct_1(J,3) & M = k4_glib_001(A,J) & N = k3_glib_001(A,J) & ~ r1_xxreal_0(k1_recdef_1(B,N),k1_recdef_1(B,M)) & ~ r1_xxreal_0(k1_recdef_1(B,M),k1_recdef_1(B,L)) & ~ r1_xxreal_0(k1_recdef_1(B,L),k1_recdef_1(B,K)) & ! [O] : ( r2_tarski(O,k13_glib_001(A,J)) => r1_xxreal_0(k1_recdef_1(B,O),k1_recdef_1(B,N)) ) & ! [O] : ( m1_subset_1(O,k6_glib_000(A)) => ~ ( O != N & r1_chord(A,O,L) & ~ r1_chord(A,O,K) & r1_xxreal_0(k1_recdef_1(B,N),k1_recdef_1(B,O)) ) ) ) ) ) ) ) ) => ? [P] : ( m3_glib_001(P,A) & ? [Q] : ( m1_subset_1(Q,k6_glib_000(A)) & ? [R] : ( m1_subset_1(R,k6_glib_000(A)) & ? [S] : ( m1_subset_1(S,k6_glib_000(A)) & ? [T] : ( m1_subset_1(T,k6_glib_000(A)) & v5_glib_001(P,A) & ~ v1_glib_001(P,A) & ~ v5_chord(P,A) & k15_glib_001(A,P) = k6_xcmplx_0(k1_nat_1(I,1),1) & Q = k1_funct_1(P,k6_xcmplx_0(k3_finseq_1(P),2)) & R = k1_funct_1(P,3) & S = k4_glib_001(A,P) & T = k3_glib_001(A,P) & ~ r1_xxreal_0(k1_recdef_1(B,T),k1_recdef_1(B,S)) & ~ r1_xxreal_0(k1_recdef_1(B,S),k1_recdef_1(B,R)) & ~ r1_xxreal_0(k1_recdef_1(B,R),k1_recdef_1(B,Q)) & ! [U] : ( r2_tarski(U,k13_glib_001(A,P)) => r1_xxreal_0(k1_recdef_1(B,U),k1_recdef_1(B,T)) ) & ! [U] : ( m1_subset_1(U,k6_glib_000(A)) => ~ ( U != T & r1_chord(A,U,R) & ~ r1_chord(A,U,Q) & r1_xxreal_0(k1_recdef_1(B,T),k1_recdef_1(B,U)) ) ) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(4,I) => ? [V] : ( m3_glib_001(V,A) & ? [W] : ( m1_subset_1(W,k6_glib_000(A)) & ? [X] : ( m1_subset_1(X,k6_glib_000(A)) & ? [Y] : ( m1_subset_1(Y,k6_glib_000(A)) & ? [Z] : ( m1_subset_1(Z,k6_glib_000(A)) & v5_glib_001(V,A) & ~ v1_glib_001(V,A) & ~ v5_chord(V,A) & k15_glib_001(A,V) = k6_xcmplx_0(I,1) & W = k1_funct_1(V,k6_xcmplx_0(k3_finseq_1(V),2)) & X = k1_funct_1(V,3) & Y = k4_glib_001(A,V) & Z = k3_glib_001(A,V) & ~ r1_xxreal_0(k1_recdef_1(B,Z),k1_recdef_1(B,Y)) & ~ r1_xxreal_0(k1_recdef_1(B,Y),k1_recdef_1(B,X)) & ~ r1_xxreal_0(k1_recdef_1(B,X),k1_recdef_1(B,W)) & ! [A1] : ( r2_tarski(A1,k13_glib_001(A,V)) => r1_xxreal_0(k1_recdef_1(B,A1),k1_recdef_1(B,Z)) ) & ! [A1] : ( m1_subset_1(A1,k6_glib_000(A)) => ~ ( A1 != Z & r1_chord(A,A1,X) & ~ r1_chord(A,A1,W) & r1_xxreal_0(k1_recdef_1(B,Z),k1_recdef_1(B,A1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e5_18__asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v7_ordinal1(B) ) => ( ( r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,B)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,C) & r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,C)) ) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,C)) ) ) ) ) )).
fof(s8_nat_1__e5_27__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k7_xcmplx_0(k3_xcmplx_0(1,k6_xcmplx_0(k3_xcmplx_0(4,k1_newton(1,2)),1)),3) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(B,k6_xcmplx_0(k3_xcmplx_0(4,k1_newton(B,2)),1)),3) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k6_xcmplx_0(k3_xcmplx_0(4,k1_newton(k1_nat_1(B,1),2)),1)),3) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(B,k6_xcmplx_0(k3_xcmplx_0(4,k1_newton(B,2)),1)),3) ) ) ) ) )).
fof(s8_nat_1__e5_29__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k3_xcmplx_0(k1_newton(1,2),k6_xcmplx_0(k3_xcmplx_0(2,k1_newton(1,2)),1)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k3_xcmplx_0(k1_newton(B,2),k6_xcmplx_0(k3_xcmplx_0(2,k1_newton(B,2)),1)) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k3_xcmplx_0(k1_newton(k1_nat_1(B,1),2),k6_xcmplx_0(k3_xcmplx_0(2,k1_newton(k1_nat_1(B,1),2)),1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k3_xcmplx_0(k1_newton(B,2),k6_xcmplx_0(k3_xcmplx_0(2,k1_newton(B,2)),1)) ) ) ) ) )).
fof(s8_nat_1__e5_31__ideal_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) & ~ v1_xboole_0(B) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m2_subset_1(C,u1_struct_0(A),B) ) => ( ( r2_tarski(k2_binom(A,C,1),B) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r2_tarski(k2_binom(A,C,D),B) ) => r2_tarski(k2_binom(A,C,k1_nat_1(D,1)),B) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => r2_tarski(k2_binom(A,C,D),B) ) ) ) ) )).
fof(s8_nat_1__e5_31__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,1),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,1),4),2)),2) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,B),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,B),4),2)),2) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,k1_nat_1(B,1)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,k1_nat_1(B,1)),4),2)),2) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,B),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,B),4),2)),2) ) ) ) ) )).
fof(s8_nat_1__e5_34__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k1_series_3(A),1) = k7_newton(1) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_newton(B) ) => k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)) = k7_newton(k1_nat_1(B,1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_newton(B) ) ) ) ) )).
fof(s8_nat_1__e5_35__series_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k1_series_3(B),1) = k7_xcmplx_0(k1_newton(A,1),k7_newton(1)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & k8_nat_1(k1_numbers,k1_series_3(B),C) = k7_xcmplx_0(k1_newton(A,C),k7_newton(C)) ) => k8_nat_1(k1_numbers,k1_series_3(B),k1_nat_1(C,1)) = k7_xcmplx_0(k1_newton(A,k1_nat_1(C,1)),k7_newton(k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k8_nat_1(k1_numbers,k1_series_3(B),C) = k7_xcmplx_0(k1_newton(A,C),k7_newton(C)) ) ) ) ) )).
fof(s8_nat_1__e5_36__series_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k1_series_3(B),1) = k1_newton(A,1) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & k8_nat_1(k1_numbers,k1_series_3(B),C) = k1_newton(A,C) ) => k8_nat_1(k1_numbers,k1_series_3(B),k1_nat_1(C,1)) = k1_newton(A,k1_nat_1(C,1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k8_nat_1(k1_numbers,k1_series_3(B),C) = k1_newton(A,C) ) ) ) ) )).
fof(s8_nat_1__e5_37__int_8,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) & v1_int_2(B) ) => ( ( k4_nat_d(k1_newton(A,k1_euler_1(k1_newton(B,k7_nat_d(2,1)))),k1_newton(B,2)) != 1 & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(2,C) & k4_nat_d(k1_newton(A,k1_euler_1(k1_newton(B,k7_nat_d(C,1)))),k1_newton(B,C)) != 1 ) => k4_nat_d(k1_newton(A,k1_euler_1(k1_newton(B,k7_nat_d(k1_nat_1(C,1),1)))),k1_newton(B,k1_nat_1(C,1))) != 1 ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => k4_nat_d(k1_newton(A,k1_euler_1(k1_newton(B,k7_nat_d(C,1)))),k1_newton(B,C)) != 1 ) ) ) ) )).
fof(s8_nat_1__e5_37__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k1_series_3(A),2) = k7_xcmplx_0(k1_nat_1(2,1),k3_xcmplx_0(2,2)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(2,B) & k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_xcmplx_0(k1_nat_1(B,1),k3_xcmplx_0(2,B)) ) => k8_nat_1(k1_numbers,k1_series_3(A),k1_nat_1(B,1)) = k7_xcmplx_0(k1_nat_1(k1_nat_1(B,1),1),k3_xcmplx_0(2,k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => k8_nat_1(k1_numbers,k1_series_3(A),B) = k7_xcmplx_0(k1_nat_1(B,1),k3_xcmplx_0(2,B)) ) ) ) ) )).
fof(s8_nat_1__e5_44__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k7_xcmplx_0(1,k1_nat_1(k3_xcmplx_0(2,1),1)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(B,k1_nat_1(k3_xcmplx_0(2,B),1)) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(B,k1_nat_1(k3_xcmplx_0(2,B),1)) ) ) ) ) )).
fof(s8_nat_1__e5_45__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k7_xcmplx_0(1,k1_nat_1(k3_xcmplx_0(3,1),1)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(B,k1_nat_1(k3_xcmplx_0(3,B),1)) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k7_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k3_xcmplx_0(3,k1_nat_1(B,1)),1)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(B,k1_nat_1(k3_xcmplx_0(3,B),1)) ) ) ) ) )).
fof(s8_nat_1__e5_46__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(4,k1_nat_1(k3_xcmplx_0(2,1),1)),k1_nat_1(k3_xcmplx_0(2,1),3)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(4,k1_nat_1(k3_xcmplx_0(2,B),1)),k1_nat_1(k3_xcmplx_0(2,B),3)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(4,k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),1)),k1_nat_1(k3_xcmplx_0(2,k1_nat_1(B,1)),3)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,12),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(4,k1_nat_1(k3_xcmplx_0(2,B),1)),k1_nat_1(k3_xcmplx_0(2,B),3)))) ) ) ) ) )).
fof(s8_nat_1__e5_47__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(6,k1_nat_1(k3_xcmplx_0(3,1),1)),k1_nat_1(k3_xcmplx_0(3,1),4)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(6,k1_nat_1(k3_xcmplx_0(3,B),1)),k1_nat_1(k3_xcmplx_0(3,B),4)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(6,k1_nat_1(k3_xcmplx_0(3,k1_nat_1(B,1)),1)),k1_nat_1(k3_xcmplx_0(3,k1_nat_1(B,1)),4)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,24),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(6,k1_nat_1(k3_xcmplx_0(3,B),1)),k1_nat_1(k3_xcmplx_0(3,B),4)))) ) ) ) ) )).
fof(s8_nat_1__e5_57__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k1_nat_1(1,1),k7_newton(k1_nat_1(1,2)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k1_nat_1(B,1),k7_newton(k1_nat_1(B,2)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k1_nat_1(k1_nat_1(B,1),1),k7_newton(k1_nat_1(k1_nat_1(B,1),2)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k1_nat_1(B,1),k7_newton(k1_nat_1(B,2)))) ) ) ) ) )).
fof(s8_nat_1__e5_61_1_2__ndiff_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) & m2_finseq_1(B,u1_struct_0(A)) & m2_finseq_1(C,u1_struct_0(A)) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(C)) => k1_normsp_0(A,D,1) = k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,1),k7_partfun1(u1_struct_0(A),B,k1_nat_1(1,1))) ) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & ( r1_xxreal_0(E,k3_finseq_1(C)) => k1_normsp_0(A,D,E) = k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,1),k7_partfun1(u1_struct_0(A),B,k1_nat_1(E,1))) ) ) => ( r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(C)) => k1_normsp_0(A,D,k1_nat_1(E,1)) = k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,1),k7_partfun1(u1_struct_0(A),B,k1_nat_1(k1_nat_1(E,1),1))) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(E,k3_finseq_1(C)) => k1_normsp_0(A,D,E) = k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,1),k7_partfun1(u1_struct_0(A),B,k1_nat_1(E,1))) ) ) ) ) ) )).
fof(s8_nat_1__e5_76__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_nat_1(k3_xcmplx_0(4,1),3)),k3_square_1(1)),k8_nat_1(k1_numbers,k3_series_1(A),1)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_nat_1(k3_xcmplx_0(4,B),3)),k3_square_1(B)),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) => ~ r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_nat_1(k3_xcmplx_0(4,k1_nat_1(B,1)),3)),k3_square_1(k1_nat_1(B,1))),k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,6),k1_nat_1(k3_xcmplx_0(4,B),3)),k3_square_1(B)),k8_nat_1(k1_numbers,k3_series_1(A),B)) ) ) ) ) )).
fof(s8_nat_1__e5_77__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),1),k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),1),k3_square_1(1))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),B),k3_square_1(B))) ) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),k1_nat_1(B,1)),k3_square_1(k1_nat_1(B,1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(2,3),B),k3_square_1(B))) ) ) ) ) )).
fof(s8_nat_1__e5_83__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),1),k8_nat_1(k1_numbers,k6_real_3(A),1)) = k7_xcmplx_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(1,1)),k1_funct_1(k5_real_3(A),k6_xcmplx_0(1,1))),k6_xcmplx_0(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(1,1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(1,1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),B),k8_nat_1(k1_numbers,k6_real_3(A),B)) = k7_xcmplx_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k1_funct_1(k5_real_3(A),k6_xcmplx_0(B,1))),k6_xcmplx_0(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(B,1)))) ) => k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1))) = k7_xcmplx_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(k1_nat_1(B,1),1)),k1_funct_1(k5_real_3(A),k6_xcmplx_0(k1_nat_1(B,1),1))),k6_xcmplx_0(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(k1_nat_1(B,1),1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(k1_nat_1(B,1),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k6_real_1(k8_nat_1(k1_numbers,k5_real_3(A),B),k8_nat_1(k1_numbers,k6_real_3(A),B)) = k7_xcmplx_0(k6_xcmplx_0(k8_nat_1(k1_numbers,k5_real_3(A),k1_nat_1(B,1)),k1_funct_1(k5_real_3(A),k6_xcmplx_0(B,1))),k6_xcmplx_0(k8_nat_1(k1_numbers,k6_real_3(A),k1_nat_1(B,1)),k1_funct_1(k6_real_3(A),k6_xcmplx_0(B,1)))) ) ) ) ) )).
fof(s8_nat_1__e6_11__int_8,axiom,( ! [A] : ( ( v1_int_1(A) & ~ v1_abian(A) ) => ( ( k5_int_1(k1_newton(A,k11_newton(2,k7_nat_d(3,2))),k1_newton(2,3)) = 1 & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(3,B) & k5_int_1(k1_newton(A,k11_newton(2,k7_nat_d(B,2))),k1_newton(2,B)) = 1 ) => k5_int_1(k1_newton(A,k11_newton(2,k7_nat_d(k1_nat_1(B,1),2))),k1_newton(2,k1_nat_1(B,1))) = 1 ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(3,B) => k5_int_1(k1_newton(A,k11_newton(2,k7_nat_d(B,2))),k1_newton(2,B)) = 1 ) ) ) ) )).
fof(s8_nat_1__e6_12__bcialg_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) & m1_subset_1(B,u1_struct_0(A)) ) => ( ( k2_bcialg_6(A,B,1) = B & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & k2_bcialg_6(A,B,C) = B ) => k2_bcialg_6(A,B,k1_nat_1(C,1)) = B ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k2_bcialg_6(A,B,C) = B ) ) ) ) )).
fof(s8_nat_1__e6_29__series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(k7_newton(k1_nat_1(1,1)),k7_xcmplx_0(1,k7_newton(k1_nat_1(1,1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_newton(k1_nat_1(B,1)),k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_newton(k1_nat_1(k1_nat_1(B,1),1)),k7_xcmplx_0(1,k7_newton(k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_newton(k1_nat_1(B,1)),k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1)))) ) ) ) ) )).
fof(s8_nat_1__e6_34__flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( ( k7_flang_1(A,B,1) = k1_xboole_0 & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & k7_flang_1(A,B,C) = k1_xboole_0 ) => k7_flang_1(A,B,k1_nat_1(C,1)) = k1_xboole_0 ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k7_flang_1(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(s8_nat_1__e6_40_1_2__pdiff_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) & m2_finseq_1(B,k1_euclid(A)) & m2_finseq_1(C,k1_euclid(A)) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(C)) => k1_funct_1(k4_euclid_7(A,C),1) = k8_euclid(A,k7_partfun1(k1_euclid(A),B,1),k7_partfun1(k1_euclid(A),B,k2_xcmplx_0(1,1))) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & ( r1_xxreal_0(D,k3_finseq_1(C)) => k1_funct_1(k4_euclid_7(A,C),D) = k8_euclid(A,k7_partfun1(k1_euclid(A),B,1),k7_partfun1(k1_euclid(A),B,k2_xcmplx_0(D,1))) ) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) => k1_funct_1(k4_euclid_7(A,C),k1_nat_1(D,1)) = k8_euclid(A,k7_partfun1(k1_euclid(A),B,1),k7_partfun1(k1_euclid(A),B,k2_xcmplx_0(k1_nat_1(D,1),1))) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(D,k3_finseq_1(C)) => k1_funct_1(k4_euclid_7(A,C),D) = k8_euclid(A,k7_partfun1(k1_euclid(A),B,1),k7_partfun1(k1_euclid(A),B,k2_xcmplx_0(D,1))) ) ) ) ) ) )).
fof(s8_nat_1__e6_43__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),2) = k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,k3_xcmplx_0(2,2))),k7_xcmplx_0(1,k2_nat_1(2,k1_nat_1(2,1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(2,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,k3_xcmplx_0(2,B))),k7_xcmplx_0(1,k2_nat_1(2,k1_nat_1(B,1)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,k3_xcmplx_0(2,k1_nat_1(B,1)))),k7_xcmplx_0(1,k2_nat_1(2,k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,k3_xcmplx_0(2,B))),k7_xcmplx_0(1,k2_nat_1(2,k1_nat_1(B,1)))) ) ) ) ) )).
fof(s8_nat_1__e6_48__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(2,k1_nat_1(1,2))),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(1,1)),k1_nat_1(1,2)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(2,k1_nat_1(B,2))),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(B,1)),k1_nat_1(B,2)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(2,k1_nat_1(k1_nat_1(B,1),2))),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(2,k1_nat_1(B,2))),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(B,1)),k1_nat_1(B,2)))) ) ) ) ) )).
fof(s8_nat_1__e6_49__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(29,36),k7_xcmplx_0(1,k1_nat_1(1,3))),k7_xcmplx_0(3,k2_nat_1(k2_nat_1(2,k1_nat_1(1,2)),k1_nat_1(1,3)))),k7_xcmplx_0(4,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(1,1)),k1_nat_1(1,2)),k1_nat_1(1,3)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(29,36),k7_xcmplx_0(1,k1_nat_1(B,3))),k7_xcmplx_0(3,k2_nat_1(k2_nat_1(2,k1_nat_1(B,2)),k1_nat_1(B,3)))),k7_xcmplx_0(4,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(29,36),k7_xcmplx_0(1,k1_nat_1(k1_nat_1(B,1),3))),k7_xcmplx_0(3,k2_nat_1(k2_nat_1(2,k1_nat_1(k1_nat_1(B,1),2)),k1_nat_1(k1_nat_1(B,1),3)))),k7_xcmplx_0(4,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(k1_nat_1(B,1),1)),k1_nat_1(k1_nat_1(B,1),2)),k1_nat_1(k1_nat_1(B,1),3)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(29,36),k7_xcmplx_0(1,k1_nat_1(B,3))),k7_xcmplx_0(3,k2_nat_1(k2_nat_1(2,k1_nat_1(B,2)),k1_nat_1(B,3)))),k7_xcmplx_0(4,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)))) ) ) ) ) )).
fof(s8_nat_1__e6_51__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,1),k11_newton(4,k1_nat_1(1,1))),k2_nat_1(3,k1_nat_1(1,2)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B,1),k11_newton(4,k1_nat_1(B,1))),k2_nat_1(3,k1_nat_1(B,2)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_nat_1(B,1),1),k11_newton(4,k1_nat_1(k1_nat_1(B,1),1))),k2_nat_1(3,k1_nat_1(k1_nat_1(B,1),2)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B,1),k11_newton(4,k1_nat_1(B,1))),k2_nat_1(3,k1_nat_1(B,2)))) ) ) ) ) )).
fof(s8_nat_1__e6_52__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(1,1),k1_newton(2,1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(B,1),k1_newton(2,B)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(k1_nat_1(B,1),1),k1_newton(2,k1_nat_1(B,1))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(B,1),k1_newton(2,B)))) ) ) ) ) )).
fof(s8_nat_1__e6_53__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(1,1),k1_newton(3,1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(B,1),k1_newton(3,B)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(k1_nat_1(B,1),1),k1_newton(3,k1_nat_1(B,1))))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k3_xcmplx_0(k1_nat_1(B,1),k1_newton(3,B)))) ) ) ) ) )).
fof(s8_nat_1__e6_55__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(k7_newton(k1_nat_1(1,1)),1) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_newton(k1_nat_1(B,1)),1) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(k7_newton(k1_nat_1(k1_nat_1(B,1),1)),1) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_newton(k1_nat_1(B,1)),1) ) ) ) ) )).
fof(s8_nat_1__e6_56__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(1,k7_xcmplx_0(1,k7_newton(k1_nat_1(1,1)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(1,k7_xcmplx_0(1,k7_newton(k1_nat_1(k1_nat_1(B,1),1)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1)))) ) ) ) ) )).
fof(s8_nat_1__e6_58__series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(A),1) = k6_xcmplx_0(1,k7_xcmplx_0(k11_newton(2,k1_nat_1(1,1)),k7_newton(k1_nat_1(1,2)))) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k7_newton(k1_nat_1(B,2)))) ) => k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)) = k6_xcmplx_0(1,k7_xcmplx_0(k11_newton(2,k1_nat_1(k1_nat_1(B,1),1)),k7_newton(k1_nat_1(k1_nat_1(B,1),2)))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(1,k7_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k7_newton(k1_nat_1(B,2)))) ) ) ) ) )).
fof(s8_nat_1__e6_67__uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,B) = 1 => ( v1_finset_1(k7_polynom5(A,B)) & ? [C] : ( m1_subset_1(C,k4_ordinal1) & C = k1_card_1(k7_polynom5(A,B)) & ~ r1_xxreal_0(k1_algseq_1(A,B),C) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,E) = D => ( v1_finset_1(k7_polynom5(A,E)) & ? [F] : ( m1_subset_1(F,k4_ordinal1) & F = k1_card_1(k7_polynom5(A,E)) & ~ r1_xxreal_0(k1_algseq_1(A,E),F) ) ) ) ) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,G) = k1_nat_1(D,1) => ( v1_finset_1(k7_polynom5(A,G)) & ? [H] : ( m1_subset_1(H,k4_ordinal1) & H = k1_card_1(k7_polynom5(A,G)) & ~ r1_xxreal_0(k1_algseq_1(A,G),H) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,I) = D => ( v1_finset_1(k7_polynom5(A,I)) & ? [J] : ( m1_subset_1(J,k4_ordinal1) & J = k1_card_1(k7_polynom5(A,I)) & ~ r1_xxreal_0(k1_algseq_1(A,I),J) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e6_69__asympt_1,axiom,( ( ~ r1_xxreal_0(k7_xcmplx_0(1,k2_power(2,k6_xcmplx_0(10,9))),k7_xcmplx_0(k5_series_1(2,k3_xcmplx_0(2,10)),k7_newton(10))) & ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(10,A) & ~ r1_xxreal_0(k7_xcmplx_0(1,k2_power(2,k6_xcmplx_0(A,9))),k7_xcmplx_0(k5_series_1(2,k3_xcmplx_0(2,A)),k7_newton(A))) ) => ~ r1_xxreal_0(k7_xcmplx_0(1,k2_power(2,k6_xcmplx_0(k1_nat_1(A,1),9))),k7_xcmplx_0(k5_series_1(2,k3_xcmplx_0(2,k1_nat_1(A,1))),k7_newton(k1_nat_1(A,1)))) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(10,A) => ~ r1_xxreal_0(k7_xcmplx_0(1,k2_power(2,k6_xcmplx_0(A,9))),k7_xcmplx_0(k5_series_1(2,k3_xcmplx_0(2,A)),k7_newton(A))) ) ) )).
fof(s8_nat_1__e6_77__polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),E,F) => ! [G] : ( m1_rewrite1(G,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(G,1) = E & k1_funct_1(G,k3_finseq_1(G)) = F & k3_finseq_1(G) = 1 ) => r1_polyred(A,B,C,F,E) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(I,C) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),I,J) => ! [K] : ( m1_rewrite1(K,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(K,1) = I & k1_funct_1(K,k3_finseq_1(K)) = J & k3_finseq_1(K) = H ) => r1_polyred(A,B,C,J,I) ) ) ) ) ) ) => ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(L,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(M,C) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),L,M) => ! [N] : ( m1_rewrite1(N,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(N,1) = L & k1_funct_1(N,k3_finseq_1(N)) = M & k3_finseq_1(N) = k1_nat_1(H,1) ) => r1_polyred(A,B,C,M,L) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(O,C) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(P,C) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),O,P) => ! [Q] : ( m1_rewrite1(Q,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(Q,1) = O & k1_funct_1(Q,k3_finseq_1(Q)) = P & k3_finseq_1(Q) = H ) => r1_polyred(A,B,C,P,O) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e6_87__uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v2_polynom5(A) & l6_algstr_0(A) ) => ( ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v1_uproots(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_algseq_1(A,B) = 1 & r1_xxreal_0(1,1) & k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)) = k5_struct_0(A) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k9_uproots(A,k7_uproots(A,B))) ) ) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & v1_uproots(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_algseq_1(A,D) = C & r1_xxreal_0(1,C) & k8_nat_1(u1_struct_0(A),D,k7_nat_d(k1_algseq_1(A,D),1)) = k5_struct_0(A) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),D,k9_uproots(A,k7_uproots(A,D))) ) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & v1_uproots(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_algseq_1(A,E) = k1_nat_1(C,1) & r1_xxreal_0(1,k1_nat_1(C,1)) & k8_nat_1(u1_struct_0(A),E,k7_nat_d(k1_algseq_1(A,E),1)) = k5_struct_0(A) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),E,k9_uproots(A,k7_uproots(A,E))) ) ) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(F,A) & v1_uproots(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_algseq_1(A,F) = C & r1_xxreal_0(1,C) & k8_nat_1(u1_struct_0(A),F,k7_nat_d(k1_algseq_1(A,F),1)) = k5_struct_0(A) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),F,k9_uproots(A,k7_uproots(A,F))) ) ) ) ) ) ) )).
fof(s8_nat_1__e7_197__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) & m1_subset_1(C,u4_struct_0(B)) & v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & m1_subset_1(E,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) & m1_msafree4(F,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) & v3_msualg_6(G,B,k1_msafree3(B,D)) & v4_msualg_6(G,B,k1_msafree3(B,D)) & v12_msafree4(G,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))) & v13_msafree4(G,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))) & v14_msafree4(G,B,D) & m1_msualg_4(G,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D))) & m1_rewrite1(H,k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D)),G,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,C),A))) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(H)) => r1_rewrite1(k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D)),G,k2_msualg_1(B,C)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,E)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,k1_funct_1(H,1)))) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(1,I) & ( r1_xxreal_0(I,k3_finseq_1(H)) => r1_rewrite1(k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D)),G,k2_msualg_1(B,C)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,E)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,k1_funct_1(H,I)))) ) ) => ( r1_xxreal_0(k1_nat_1(I,1),k3_finseq_1(H)) => r1_rewrite1(k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D)),G,k2_msualg_1(B,C)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,E)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,k1_funct_1(H,k1_nat_1(I,1))))) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(1,I) => ( r1_xxreal_0(I,k3_finseq_1(H)) => r1_rewrite1(k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D)),G,k2_msualg_1(B,C)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,E)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(F,A,k1_funct_1(H,I)))) ) ) ) ) ) )).
fof(s8_nat_1__e7_265_4__msafree5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ v1_xboole_0(D) & m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(E) & m2_finseq_1(E,k9_xtuple_0(C)) & v17_msafree5(F,A,B,D) & m2_finseq_1(F,k3_card_3(B)) & v18_msafree5(G,A,B,D) & m2_finseq_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ~ v1_xboole_0(H) & v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & v6_trees_3(H) ) => ( ( ( r2_tarski(1,k4_finseq_1(D)) => ( r2_tarski(k1_funct_1(H,1),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r2_tarski(k1_funct_1(E,1),k9_xtuple_0(k1_funct_1(H,1))) & k1_funct_1(k1_funct_1(H,1),k1_funct_1(E,1)) = k4_tarski(k1_funct_1(o_5_5_msafree5(A,B,D,F,G),1),k1_funct_1(D,1)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(D)) => ( r1_xxreal_0(I,1) | ( r2_tarski(k1_funct_1(E,I),k9_xtuple_0(k1_funct_1(H,1))) & k1_funct_1(k1_funct_1(H,1),k1_funct_1(E,I)) = k4_tarski(k1_funct_1(F,I),k1_funct_1(D,I)) ) ) ) ) ) ) & ! [J] : ( v7_ordinal1(J) => ( ( r1_xxreal_0(1,J) & ( r2_tarski(J,k4_finseq_1(D)) => ( r2_tarski(k1_funct_1(H,J),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r2_tarski(k1_funct_1(E,J),k9_xtuple_0(k1_funct_1(H,J))) & k1_funct_1(k1_funct_1(H,J),k1_funct_1(E,J)) = k4_tarski(k1_funct_1(o_5_5_msafree5(A,B,D,F,G),J),k1_funct_1(D,J)) & ! [K] : ( v7_ordinal1(K) => ( r2_tarski(K,k4_finseq_1(D)) => ( r1_xxreal_0(K,J) | ( r2_tarski(k1_funct_1(E,K),k9_xtuple_0(k1_funct_1(H,J))) & k1_funct_1(k1_funct_1(H,J),k1_funct_1(E,K)) = k4_tarski(k1_funct_1(F,K),k1_funct_1(D,K)) ) ) ) ) ) ) ) => ( r2_tarski(k1_nat_1(J,1),k4_finseq_1(D)) => ( r2_tarski(k1_funct_1(H,k1_nat_1(J,1)),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r2_tarski(k1_funct_1(E,k1_nat_1(J,1)),k9_xtuple_0(k1_funct_1(H,k1_nat_1(J,1)))) & k1_funct_1(k1_funct_1(H,k1_nat_1(J,1)),k1_funct_1(E,k1_nat_1(J,1))) = k4_tarski(k1_funct_1(o_5_5_msafree5(A,B,D,F,G),k1_nat_1(J,1)),k1_funct_1(D,k1_nat_1(J,1))) & ! [L] : ( v7_ordinal1(L) => ( r2_tarski(L,k4_finseq_1(D)) => ( r1_xxreal_0(L,k1_nat_1(J,1)) | ( r2_tarski(k1_funct_1(E,L),k9_xtuple_0(k1_funct_1(H,k1_nat_1(J,1)))) & k1_funct_1(k1_funct_1(H,k1_nat_1(J,1)),k1_funct_1(E,L)) = k4_tarski(k1_funct_1(F,L),k1_funct_1(D,L)) ) ) ) ) ) ) ) ) ) => ! [J] : ( v7_ordinal1(J) => ( r1_xxreal_0(1,J) => ( r2_tarski(J,k4_finseq_1(D)) => ( r2_tarski(k1_funct_1(H,J),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & r2_tarski(k1_funct_1(E,J),k9_xtuple_0(k1_funct_1(H,J))) & k1_funct_1(k1_funct_1(H,J),k1_funct_1(E,J)) = k4_tarski(k1_funct_1(o_5_5_msafree5(A,B,D,F,G),J),k1_funct_1(D,J)) & ! [M] : ( v7_ordinal1(M) => ( r2_tarski(M,k4_finseq_1(D)) => ( r1_xxreal_0(M,J) | ( r2_tarski(k1_funct_1(E,M),k9_xtuple_0(k1_funct_1(H,J))) & k1_funct_1(k1_funct_1(H,J),k1_funct_1(E,M)) = k4_tarski(k1_funct_1(F,M),k1_funct_1(D,M)) ) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e7_30__series_4,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k8_nat_1(k1_numbers,k3_series_1(B),1) = k3_xcmplx_0(A,k6_xcmplx_0(k1_newton(k7_xcmplx_0(A,k6_xcmplx_0(A,1)),1),1)) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & k8_nat_1(k1_numbers,k3_series_1(B),C) = k3_xcmplx_0(A,k6_xcmplx_0(k1_newton(k7_xcmplx_0(A,k6_xcmplx_0(A,1)),C),1)) ) => k8_nat_1(k1_numbers,k3_series_1(B),k1_nat_1(C,1)) = k3_xcmplx_0(A,k6_xcmplx_0(k1_newton(k7_xcmplx_0(A,k6_xcmplx_0(A,1)),k1_nat_1(C,1)),1)) ) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k3_xcmplx_0(A,k6_xcmplx_0(k1_newton(k7_xcmplx_0(A,k6_xcmplx_0(A,1)),C),1)) ) ) ) ) )).
fof(s8_nat_1__e7_83__polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,E,F),G) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(H,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [I] : ( m1_rewrite1(I,k3_polyred(A,B,C,D)) => ~ ( k1_funct_1(I,1) = G & k1_funct_1(I,k3_finseq_1(I)) = H & k3_finseq_1(I) = 1 & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(K,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,J,K),H) & r1_rewrite1(k3_polyred(A,B,C,D),E,J) & r1_rewrite1(k3_polyred(A,B,C,D),F,K) ) ) ) ) ) ) ) ) ) ) & ! [L] : ( v7_ordinal1(L) => ( ( r1_xxreal_0(1,L) & ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(M,C) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(N,C) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(O,C) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,M,N),O) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(P,C) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [Q] : ( m1_rewrite1(Q,k3_polyred(A,B,C,D)) => ~ ( k1_funct_1(Q,1) = O & k1_funct_1(Q,k3_finseq_1(Q)) = P & k3_finseq_1(Q) = L & ! [R] : ( ( v1_funct_1(R) & v1_funct_2(R,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(R,C) & m1_subset_1(R,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [S] : ( ( v1_funct_1(S) & v1_funct_2(S,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(S,C) & m1_subset_1(S,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,R,S),P) & r1_rewrite1(k3_polyred(A,B,C,D),M,R) & r1_rewrite1(k3_polyred(A,B,C,D),N,S) ) ) ) ) ) ) ) ) ) ) ) => ! [T] : ( ( v1_funct_1(T) & v1_funct_2(T,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(T,C) & m1_subset_1(T,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [U] : ( ( v1_funct_1(U) & v1_funct_2(U,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(U,C) & m1_subset_1(U,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [V] : ( ( v1_funct_1(V) & v1_funct_2(V,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(V,C) & m1_subset_1(V,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,T,U),V) => ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(W,C) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [X] : ( m1_rewrite1(X,k3_polyred(A,B,C,D)) => ~ ( k1_funct_1(X,1) = V & k1_funct_1(X,k3_finseq_1(X)) = W & k3_finseq_1(X) = k1_nat_1(L,1) & ! [Y] : ( ( v1_funct_1(Y) & v1_funct_2(Y,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(Y,C) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [Z] : ( ( v1_funct_1(Z) & v1_funct_2(Z,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(Z,C) & m1_subset_1(Z,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,Y,Z),W) & r1_rewrite1(k3_polyred(A,B,C,D),T,Y) & r1_rewrite1(k3_polyred(A,B,C,D),U,Z) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [L] : ( v7_ordinal1(L) => ( r1_xxreal_0(1,L) => ! [A1] : ( ( v1_funct_1(A1) & v1_funct_2(A1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(A1,C) & m1_subset_1(A1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [B1] : ( ( v1_funct_1(B1) & v1_funct_2(B1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(B1,C) & m1_subset_1(B1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [C1] : ( ( v1_funct_1(C1) & v1_funct_2(C1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(C1,C) & m1_subset_1(C1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,A1,B1),C1) => ! [D1] : ( ( v1_funct_1(D1) & v1_funct_2(D1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D1,C) & m1_subset_1(D1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E1] : ( m1_rewrite1(E1,k3_polyred(A,B,C,D)) => ~ ( k1_funct_1(E1,1) = C1 & k1_funct_1(E1,k3_finseq_1(E1)) = D1 & k3_finseq_1(E1) = L & ! [F1] : ( ( v1_funct_1(F1) & v1_funct_2(F1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F1,C) & m1_subset_1(F1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G1] : ( ( v1_funct_1(G1) & v1_funct_2(G1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G1,C) & m1_subset_1(G1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,F1,G1),D1) & r1_rewrite1(k3_polyred(A,B,C,D),A1,F1) & r1_rewrite1(k3_polyred(A,B,C,D),B1,G1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e8_54__groeb_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ( ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(A,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k12_polynom1(A,C))) => ( ( D = F & E = G ) => ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [I] : ( m1_rewrite1(I,k3_polyred(A,B,C,H)) => ~ ( k1_funct_1(I,1) = D & k1_funct_1(I,k3_finseq_1(I)) = E & k3_finseq_1(I) = 1 & ! [J] : ( m2_ideal_1(J,k12_polynom1(A,C),H) => ~ ( F = k3_rlvect_1(k12_polynom1(A,C),G,k4_rlvect_1(k12_polynom1(A,C),J)) & ! [K] : ( m1_subset_1(K,k4_ordinal1) => ~ ( r2_tarski(K,k4_finseq_1(J)) & ! [L] : ( ( v1_funct_1(L) & v1_funct_2(L,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(L,A,C) & v3_polynom7(L,A,C) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(M,A,C) & v1_polynom1(M,C) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_tarski(M,H) & k1_funct_1(J,K) = k11_polynom1(A,C,L,M) & r1_termord(A,B,k3_termord(A,B,C,k11_polynom1(A,C,L,M)),k3_termord(A,B,C,D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) & ! [N] : ( v7_ordinal1(N) => ( ( r1_xxreal_0(1,N) & ! [O] : ( ( v1_funct_1(O) & v1_funct_2(O,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(O,C) & m1_subset_1(O,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(P,C) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [Q] : ( m1_subset_1(Q,u1_struct_0(k12_polynom1(A,C))) => ! [R] : ( m1_subset_1(R,u1_struct_0(k12_polynom1(A,C))) => ( ( O = Q & P = R ) => ! [S] : ( ( ~ v1_xboole_0(S) & m1_subset_1(S,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [T] : ( m1_rewrite1(T,k3_polyred(A,B,C,S)) => ~ ( k1_funct_1(T,1) = O & k1_funct_1(T,k3_finseq_1(T)) = P & k3_finseq_1(T) = N & ! [U] : ( m2_ideal_1(U,k12_polynom1(A,C),S) => ~ ( Q = k3_rlvect_1(k12_polynom1(A,C),R,k4_rlvect_1(k12_polynom1(A,C),U)) & ! [V] : ( m1_subset_1(V,k4_ordinal1) => ~ ( r2_tarski(V,k4_finseq_1(U)) & ! [W] : ( ( v1_funct_1(W) & v1_funct_2(W,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(W,A,C) & v3_polynom7(W,A,C) & m1_subset_1(W,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [X] : ( ( v1_funct_1(X) & v1_funct_2(X,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(X,A,C) & v1_polynom1(X,C) & m1_subset_1(X,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_tarski(X,S) & k1_funct_1(U,V) = k11_polynom1(A,C,W,X) & r1_termord(A,B,k3_termord(A,B,C,k11_polynom1(A,C,W,X)),k3_termord(A,B,C,O)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [Y] : ( ( v1_funct_1(Y) & v1_funct_2(Y,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(Y,C) & m1_subset_1(Y,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [Z] : ( ( v1_funct_1(Z) & v1_funct_2(Z,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(Z,C) & m1_subset_1(Z,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [A1] : ( m1_subset_1(A1,u1_struct_0(k12_polynom1(A,C))) => ! [B1] : ( m1_subset_1(B1,u1_struct_0(k12_polynom1(A,C))) => ( ( Y = A1 & Z = B1 ) => ! [C1] : ( ( ~ v1_xboole_0(C1) & m1_subset_1(C1,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [D1] : ( m1_rewrite1(D1,k3_polyred(A,B,C,C1)) => ~ ( k1_funct_1(D1,1) = Y & k1_funct_1(D1,k3_finseq_1(D1)) = Z & k3_finseq_1(D1) = k1_nat_1(N,1) & ! [E1] : ( m2_ideal_1(E1,k12_polynom1(A,C),C1) => ~ ( A1 = k3_rlvect_1(k12_polynom1(A,C),B1,k4_rlvect_1(k12_polynom1(A,C),E1)) & ! [F1] : ( m1_subset_1(F1,k4_ordinal1) => ~ ( r2_tarski(F1,k4_finseq_1(E1)) & ! [G1] : ( ( v1_funct_1(G1) & v1_funct_2(G1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(G1,A,C) & v3_polynom7(G1,A,C) & m1_subset_1(G1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [H1] : ( ( v1_funct_1(H1) & v1_funct_2(H1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(H1,A,C) & v1_polynom1(H1,C) & m1_subset_1(H1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_tarski(H1,C1) & k1_funct_1(E1,F1) = k11_polynom1(A,C,G1,H1) & r1_termord(A,B,k3_termord(A,B,C,k11_polynom1(A,C,G1,H1)),k3_termord(A,B,C,Y)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) => ! [N] : ( v7_ordinal1(N) => ( r1_xxreal_0(1,N) => ! [I1] : ( ( v1_funct_1(I1) & v1_funct_2(I1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(I1,C) & m1_subset_1(I1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [J1] : ( ( v1_funct_1(J1) & v1_funct_2(J1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J1,C) & m1_subset_1(J1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [K1] : ( m1_subset_1(K1,u1_struct_0(k12_polynom1(A,C))) => ! [L1] : ( m1_subset_1(L1,u1_struct_0(k12_polynom1(A,C))) => ( ( I1 = K1 & J1 = L1 ) => ! [M1] : ( ( ~ v1_xboole_0(M1) & m1_subset_1(M1,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [N1] : ( m1_rewrite1(N1,k3_polyred(A,B,C,M1)) => ~ ( k1_funct_1(N1,1) = I1 & k1_funct_1(N1,k3_finseq_1(N1)) = J1 & k3_finseq_1(N1) = N & ! [O1] : ( m2_ideal_1(O1,k12_polynom1(A,C),M1) => ~ ( K1 = k3_rlvect_1(k12_polynom1(A,C),L1,k4_rlvect_1(k12_polynom1(A,C),O1)) & ! [P1] : ( m1_subset_1(P1,k4_ordinal1) => ~ ( r2_tarski(P1,k4_finseq_1(O1)) & ! [Q1] : ( ( v1_funct_1(Q1) & v1_funct_2(Q1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(Q1,A,C) & v3_polynom7(Q1,A,C) & m1_subset_1(Q1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [R1] : ( ( v1_funct_1(R1) & v1_funct_2(R1,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(R1,A,C) & v1_polynom1(R1,C) & m1_subset_1(R1,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r2_tarski(R1,M1) & k1_funct_1(O1,P1) = k11_polynom1(A,C,Q1,R1) & r1_termord(A,B,k3_termord(A,B,C,k11_polynom1(A,C,Q1,R1)),k3_termord(A,B,C,I1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e8_93__polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(k12_polynom1(A,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k12_polynom1(A,C))) => ( r1_rewrite1(k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D))),E,F) => ! [G] : ( m1_rewrite1(G,k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D)))) => ( ( k1_funct_1(G,1) = E & k1_funct_1(G,k3_finseq_1(G)) = F & k3_finseq_1(G) = 1 ) => r11_polyred(k12_polynom1(A,C),k7_ideal_1(k12_polynom1(A,C),D),E,F) ) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & ! [I] : ( m1_subset_1(I,u1_struct_0(k12_polynom1(A,C))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k12_polynom1(A,C))) => ( r1_rewrite1(k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D))),I,J) => ! [K] : ( m1_rewrite1(K,k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D)))) => ( ( k1_funct_1(K,1) = I & k1_funct_1(K,k3_finseq_1(K)) = J & k3_finseq_1(K) = H ) => r11_polyred(k12_polynom1(A,C),k7_ideal_1(k12_polynom1(A,C),D),I,J) ) ) ) ) ) ) => ! [L] : ( m1_subset_1(L,u1_struct_0(k12_polynom1(A,C))) => ! [M] : ( m1_subset_1(M,u1_struct_0(k12_polynom1(A,C))) => ( r1_rewrite1(k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D))),L,M) => ! [N] : ( m1_rewrite1(N,k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D)))) => ( ( k1_funct_1(N,1) = L & k1_funct_1(N,k3_finseq_1(N)) = M & k3_finseq_1(N) = k1_nat_1(H,1) ) => r11_polyred(k12_polynom1(A,C),k7_ideal_1(k12_polynom1(A,C),D),L,M) ) ) ) ) ) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ! [O] : ( m1_subset_1(O,u1_struct_0(k12_polynom1(A,C))) => ! [P] : ( m1_subset_1(P,u1_struct_0(k12_polynom1(A,C))) => ( r1_rewrite1(k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D))),O,P) => ! [Q] : ( m1_rewrite1(Q,k2_xboole_0(k3_polyred(A,B,C,D),k3_relset_1(k8_struct_0(k12_polynom1(A,C)),u1_struct_0(k12_polynom1(A,C)),k3_polyred(A,B,C,D)))) => ( ( k1_funct_1(Q,1) = O & k1_funct_1(Q,k3_finseq_1(Q)) = P & k3_finseq_1(Q) = H ) => r11_polyred(k12_polynom1(A,C),k7_ideal_1(k12_polynom1(A,C),D),O,P) ) ) ) ) ) ) ) ) ) )).
fof(s8_nat_1__e9_47_1_1_2__nagata_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m2_finseq_1(B,k9_funct_2(u1_struct_0(A),k1_numbers)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_funct_2(u1_struct_0(A),k1_numbers)))) ) => ( ( ( r1_xxreal_0(1,k3_finseq_1(B)) => ( v1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,1)) & v1_funct_2(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,1),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,1),A) & m1_subset_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & ( r1_xxreal_0(D,k3_finseq_1(B)) => ( v1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D)) & v1_funct_2(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D),A) & m1_subset_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) => ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) => ( v1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,k1_nat_1(D,1))) & v1_funct_2(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,k1_nat_1(D,1)),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,k1_nat_1(D,1)),A) & m1_subset_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,k1_nat_1(D,1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(D,k3_finseq_1(B)) => ( v1_funct_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D)) & v1_funct_2(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D),A) & m1_subset_1(k8_nat_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) ) ) )).
fof(s8_nat_1__e9_51__real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k4_real_3(A),1)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k4_real_3(A),B)) ) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k4_real_3(A),k1_nat_1(B,1))) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k4_real_3(A),B)) ) ) ) ) )).
fof(s8_nat_1__e9_79__series_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),1),k7_xcmplx_0(k3_xcmplx_0(1,k1_nat_1(1,1)),2)) & ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k7_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),2)) ) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),k1_nat_1(B,1)),k7_xcmplx_0(k3_xcmplx_0(k1_nat_1(B,1),k1_nat_1(k1_nat_1(B,1),1)),2)) ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ~ r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k7_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),2)) ) ) ) ) )).
fof(s8_nat_1__e9_81_1_2__polyred,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v3_ordinal1(A) & v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) & ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) & v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v3_polynom7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),F,G) => ! [H] : ( m1_rewrite1(H,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(H,1) = F & k1_funct_1(H,k3_finseq_1(H)) = G & k3_finseq_1(H) = 1 ) => r1_rewrite1(k3_polyred(A,B,C,D),k11_polynom1(A,C,E,F),k11_polynom1(A,C,E,G)) ) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(1,I) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(J,C) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(K,C) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),J,K) => ! [L] : ( m1_rewrite1(L,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(L,1) = J & k1_funct_1(L,k3_finseq_1(L)) = K & k3_finseq_1(L) = I ) => r1_rewrite1(k3_polyred(A,B,C,D),k11_polynom1(A,C,E,J),k11_polynom1(A,C,E,K)) ) ) ) ) ) ) => ! [M] : ( ( v1_funct_1(M) & v1_funct_2(M,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(M,C) & m1_subset_1(M,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [N] : ( ( v1_funct_1(N) & v1_funct_2(N,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(N,C) & m1_subset_1(N,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),M,N) => ! [O] : ( m1_rewrite1(O,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(O,1) = M & k1_funct_1(O,k3_finseq_1(O)) = N & k3_finseq_1(O) = k1_nat_1(I,1) ) => r1_rewrite1(k3_polyred(A,B,C,D),k11_polynom1(A,C,E,M),k11_polynom1(A,C,E,N)) ) ) ) ) ) ) ) ) => ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(1,I) => ! [P] : ( ( v1_funct_1(P) & v1_funct_2(P,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(P,C) & m1_subset_1(P,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [Q] : ( ( v1_funct_1(Q) & v1_funct_2(Q,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(Q,C) & m1_subset_1(Q,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r1_rewrite1(k3_polyred(A,B,C,D),P,Q) => ! [R] : ( m1_rewrite1(R,k3_polyred(A,B,C,D)) => ( ( k1_funct_1(R,1) = P & k1_funct_1(R,k3_finseq_1(R)) = Q & k3_finseq_1(R) = I ) => r1_rewrite1(k3_polyred(A,B,C,D),k11_polynom1(A,C,E,P),k11_polynom1(A,C,E,Q)) ) ) ) ) ) ) ) ) ) )).
fof(s8_ordinal2__e2_13__classes1,axiom,( ! [A] : ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k2_classes1(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = k1_tarski(A) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k2_xboole_0(k2_xboole_0(a_3_2_classes1(A,D,E),a_3_3_classes1(A,D,E)),k8_subset_1(k1_zfmisc_1(k1_funct_1(D,E)),k9_setfam_1(k1_funct_1(D,E)),k1_classes1(A))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_xboole_0(k3_tarski(k10_xtuple_0(k5_relat_1(D,E))),k1_classes1(A)) ) ) ) ) ) ) => k2_classes1(A,k5_ordinal1) = k1_tarski(A) ) )).
fof(s8_ordinal2__e2_17__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k3_knaster(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = C & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_funct_1(B,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k15_lattice3(A,k10_xtuple_0(k5_relat_1(F,G))) ) ) ) ) ) ) => k3_knaster(A,B,C,k5_ordinal1) = C ) ) )).
fof(s8_ordinal2__e2_18__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k4_knaster(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = C & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_funct_1(B,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k16_lattice3(A,k10_xtuple_0(k5_relat_1(F,G))) ) ) ) ) ) ) => k4_knaster(A,B,C,k5_ordinal1) = C ) ) )).
fof(s8_ordinal2__e2_22__lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k3_lattice8(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k1_lattice8(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_tarski(k10_xtuple_0(k5_relat_1(D,E))) ) ) ) ) ) ) => k3_lattice8(A,k5_ordinal1) = A ) ) )).
fof(s8_ordinal2__e2_29__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ! [E] : ( v3_ordinal1(E) => ! [F] : ( F = k5_lattice8(A,B,C,D,E) <=> ? [G] : ( v1_relat_1(G) & v5_ordinal1(G) & v1_funct_1(G) & F = k1_ordinal2(G) & k9_xtuple_0(G) = k1_ordinal1(E) & k1_funct_1(G,k5_ordinal1) = C & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(k1_ordinal1(H),k1_ordinal1(E)) => k1_funct_1(G,k1_ordinal1(H)) = k2_lattice8(k3_lattice8(A,H),B,k10_lattice5(k3_lattice8(A,H),B,k1_funct_1(G,H)),k4_lattice8(A,B,C,D,H)) ) ) & ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(H,k1_ordinal1(E)) & v4_ordinal1(H) ) => ( H = k5_ordinal1 | k1_funct_1(G,H) = k3_tarski(k10_xtuple_0(k5_relat_1(G,H))) ) ) ) ) ) ) => k5_lattice8(A,B,C,D,k5_ordinal1) = C ) ) )).
fof(s8_ordinal2__e2_30__card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k3_card_1(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_card_1(k4_ordinal1) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k2_card_1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k1_card_1(k4_ordinal2(k5_relat_1(C,D))) ) ) ) ) ) ) => k3_card_1(k5_ordinal1) = k1_card_1(k4_ordinal1) )).
fof(s8_ordinal2__e2_34__classes1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k4_classes1(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_xboole_0 & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k9_setfam_1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k3_tarski(k10_xtuple_0(k5_relat_1(C,D))) ) ) ) ) ) ) => k4_classes1(k5_ordinal1) = k1_xboole_0 )).
fof(s8_ordinal2__e2_45__lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k8_lattice5(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k5_lattice5(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_tarski(k10_xtuple_0(k5_relat_1(D,E))) ) ) ) ) ) ) => k8_lattice5(A,k5_ordinal1) = A ) ) )).
fof(s8_ordinal2__e2_55__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ! [E] : ( v3_ordinal1(E) => ! [F] : ( F = k11_lattice5(A,B,C,D,E) <=> ? [G] : ( v1_relat_1(G) & v5_ordinal1(G) & v1_funct_1(G) & F = k1_ordinal2(G) & k9_xtuple_0(G) = k1_ordinal1(E) & k1_funct_1(G,k5_ordinal1) = C & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(k1_ordinal1(H),k1_ordinal1(E)) => k1_funct_1(G,k1_ordinal1(H)) = k6_lattice5(k8_lattice5(A,H),B,k10_lattice5(k8_lattice5(A,H),B,k1_funct_1(G,H)),k9_lattice5(A,B,C,D,H)) ) ) & ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(H,k1_ordinal1(E)) & v4_ordinal1(H) ) => ( H = k5_ordinal1 | k1_funct_1(G,H) = k3_tarski(k10_xtuple_0(k5_relat_1(G,H))) ) ) ) ) ) ) => k11_lattice5(A,B,C,D,k5_ordinal1) = C ) ) )).
fof(s8_ordinal2__e2_63__classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k16_classes2(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k13_classes2 & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k1_classes1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k15_classes2(k3_card_3(k5_relat_1(C,D))) ) ) ) ) ) ) => k16_classes2(k5_ordinal1) = k13_classes2 )).
fof(s8_ordinal2__e2_69__classes2,axiom,( ! [A] : ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k3_classes1(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = k1_tarski(A) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k2_xboole_0(k2_xboole_0(a_3_0_classes2(A,D,E),a_3_1_classes2(A,D,E)),k8_subset_1(k1_zfmisc_1(k1_funct_1(D,E)),k9_setfam_1(k1_funct_1(D,E)),k1_classes1(A))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_xboole_0(k3_tarski(k10_xtuple_0(k5_relat_1(D,E))),k1_classes1(A)) ) ) ) ) ) ) => k3_classes1(A,k5_ordinal1) = k1_tarski(A) ) )).
fof(s8_yellow18__e11_66_1__yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & ~ v2_struct_0(D) & v2_altcat_1(D) & v3_altcat_2(D,A) & m1_altcat_2(D,A) & ~ v2_struct_0(E) & v2_altcat_1(E) & v3_altcat_2(E,B) & m1_altcat_2(E,B) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => m1_subset_1(k3_functor0(D,B,k4_yellow20(A,B,D,C),F),u1_struct_0(E)) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ( k1_altcat_1(D,F,G) != k1_xboole_0 => ! [H] : ( m1_subset_1(H,k1_altcat_1(D,F,G)) => r2_hidden(k6_functor0(D,B,k4_yellow20(A,B,D,C),F,G,H),k1_binop_1(u1_altcat_1(E),k3_functor0(D,B,k4_yellow20(A,B,D,C),F),k3_functor0(D,B,k4_yellow20(A,B,D,C),G))) ) ) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ~ ( k1_altcat_1(D,F,G) != k1_xboole_0 & k1_altcat_1(D,G,H) != k1_xboole_0 & ? [I] : ( m1_subset_1(I,k1_altcat_1(D,F,G)) & ? [J] : ( m1_subset_1(J,k1_altcat_1(D,G,H)) & ? [K] : ( m1_subset_1(K,u1_struct_0(E)) & ? [L] : ( m1_subset_1(L,u1_struct_0(E)) & ? [M] : ( m1_subset_1(M,u1_struct_0(E)) & K = k3_functor0(D,B,k4_yellow20(A,B,D,C),F) & L = k3_functor0(D,B,k4_yellow20(A,B,D,C),G) & M = k3_functor0(D,B,k4_yellow20(A,B,D,C),H) & ? [N] : ( m1_subset_1(N,k1_altcat_1(E,K,L)) & ? [O] : ( m1_subset_1(O,k1_altcat_1(E,L,M)) & N = k6_functor0(D,B,k4_yellow20(A,B,D,C),F,G,I) & O = k6_functor0(D,B,k4_yellow20(A,B,D,C),G,H,J) & k6_functor0(D,B,k4_yellow20(A,B,D,C),F,H,k5_altcat_1(D,F,G,H,I,J)) != k5_altcat_1(E,K,L,M,N,O) ) ) ) ) ) ) ) ) ) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( G = k3_functor0(D,B,k4_yellow20(A,B,D,C),F) => k6_functor0(D,B,k4_yellow20(A,B,D,C),F,F,k8_altcat_1(D,F)) = k8_altcat_1(E,G) ) ) ) ) => ? [F] : ( v9_functor0(F,D,E) & v15_functor0(F,D,E) & m2_functor0(F,D,E) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => k3_functor0(D,E,F,G) = k3_functor0(D,B,k4_yellow20(A,B,D,C),G) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k1_altcat_1(D,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(D,G,H)) => k6_functor0(D,E,F,G,H,I) = k6_functor0(D,B,k4_yellow20(A,B,D,C),G,H,I) ) ) ) ) ) ) ) )).
fof(s9_cqc_lang__e2_33__cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) ) => ( ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k7_cqc_sim1(A,D) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k3_cqc_lang(A),k4_ordinal1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k4_ordinal1))) & E = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,D) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k5_cqc_lang(A)) = k5_numbers & ! [G] : ( m2_subset_1(G,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [I] : ( m2_subset_1(I,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( ( v5_relat_1(K,k3_qc_lang1(A)) & v3_card_1(K,J) & m2_finseq_1(K,k2_qc_lang1(A)) ) => ! [L] : ( m2_subset_1(L,k6_qc_lang1(A),k8_qc_lang1(A,J)) => ( k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k4_cqc_lang(J,A,L,K)) = k5_numbers & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k6_cqc_lang(A,G)) = k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,G) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k7_cqc_lang(A,G,H)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,G),k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,H)) & k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,k11_cqc_lang(A,I,G)) = k1_nat_1(k3_funct_2(k3_cqc_lang(A),k4_ordinal1,F,G),1) ) ) ) ) ) ) ) ) ) ) ) => k7_cqc_sim1(A,k11_cqc_lang(A,C,B)) = k1_nat_1(k7_cqc_sim1(A,B),1) ) ) )).
fof(s9_cqc_lang__e8_15__valuat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( m1_qc_lang1(A) & m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) & ~ v1_xboole_0(C) & m1_valuat_1(D,A,C) & m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) ) => ( ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [G] : ( m1_subset_1(G,k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) => ( G = k8_valuat_1(A,C,D,F) <=> ? [H] : ( v1_funct_1(H) & v1_funct_2(H,k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)))) & G = k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,F) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k5_cqc_lang(A)) = k10_subset_1(k8_funcop_1(k5_margrel1,k2_valuat_1(A,C),k7_margrel1),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & ! [I] : ( m2_subset_1(I,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [J] : ( m2_subset_1(J,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [K] : ( m2_subset_1(K,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [L] : ( v7_ordinal1(L) => ! [M] : ( ( v5_relat_1(M,k3_qc_lang1(A)) & v3_card_1(M,L) & m2_finseq_1(M,k2_qc_lang1(A)) ) => ! [N] : ( m2_subset_1(N,k6_qc_lang1(A),k8_qc_lang1(A,L)) => ( k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k4_cqc_lang(L,A,N,M)) = k5_valuat_1(A,C,L,M,k7_valuat_1(A,C,L,D,N)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k6_cqc_lang(A,I)) = k10_subset_1(k14_margrel1(k2_valuat_1(A,C),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,I)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k7_cqc_lang(A,I,J)) = k10_subset_1(k15_margrel1(k2_valuat_1(A,C),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,I),k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,J)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) & k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,k11_cqc_lang(A,K,I)) = k10_subset_1(k3_valuat_1(A,C,K,k3_funct_2(k3_cqc_lang(A),k9_funct_2(k2_valuat_1(A,C),k5_margrel1),H,I)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) ) ) ) ) ) ) ) ) ) ) ) => k8_valuat_1(A,C,D,k11_cqc_lang(A,E,B)) = k10_subset_1(k3_valuat_1(A,C,E,k8_valuat_1(A,C,D,B)),k9_funct_2(k2_valuat_1(A,C),k5_margrel1)) ) ) )).
fof(s9_domain_1__e13_144__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_15_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s9_domain_1__e1_143__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_17_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s9_domain_1__e2_143__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_15_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s9_domain_1__e2_62_1__card_fil,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v2_card_1(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k6_card_fil(A),A),k9_setfam_1(A)))) & m1_subset_1(C,A) ) => m1_subset_1(a_3_8_card_fil(A,B,C),k1_zfmisc_1(k9_setfam_1(A))) ) )).
fof(s9_domain_1__e2_9__group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m1_subset_1(a_1_1_group_6(A),k1_zfmisc_1(u1_struct_0(A))) ) )).
fof(s9_domain_1__e3_142__seq_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) & m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) ) => m1_subset_1(a_3_15_seq_4(A,B,C),k1_zfmisc_1(k1_numbers)) ) )).
fof(s9_funct_2__e16_25_1_2__ordeq_02,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => m1_subset_1(k2_xcmplx_0(A,k7_xcmplx_0(B,k1_nat_1(C,1))),k1_numbers) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k2_xcmplx_0(A,k7_xcmplx_0(B,k1_nat_1(D,1))) ) ) ) ) )).
fof(s9_funct_2__e16_61__ordeq_01,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => m1_subset_1(k2_xcmplx_0(A,k7_xcmplx_0(B,k2_xcmplx_0(C,1))),k1_numbers) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k2_xcmplx_0(A,k7_xcmplx_0(B,k2_xcmplx_0(D,1))) ) ) ) ) )).
fof(s9_funct_2__e19_32_1_1__measure8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k6_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => m1_subset_1(k1_xxreal_3(k8_nat_1(k6_numbers,k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,k6_measure8(A,B,C)),F),k8_nat_1(k6_numbers,E,F)),k6_numbers) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k3_funct_2(k4_ordinal1,k6_numbers,F,G) = k1_xxreal_3(k8_nat_1(k6_numbers,k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,k6_measure8(A,B,C)),G),k8_nat_1(k6_numbers,E,G)) ) ) ) ) )).
fof(s9_funct_2__e28_25_1_2__ordeq_02,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => m1_subset_1(k6_xcmplx_0(A,k7_xcmplx_0(B,k1_nat_1(C,1))),k1_numbers) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k6_xcmplx_0(A,k7_xcmplx_0(B,k1_nat_1(D,1))) ) ) ) ) )).
fof(s9_funct_2__e2_106__waybel23,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) & v6_waybel23(B,A) & m1_waybel23(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k5_yellow_0(A,B))) => m1_subset_1(k5_waybel_0(k5_yellow_0(A,B),C),u1_struct_0(k1_waybel_8(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))))) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_yellow_0(A,B)),u1_struct_0(k1_waybel_8(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_yellow_0(A,B)),u1_struct_0(k1_waybel_8(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B)))))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_yellow_0(A,B))) => k3_funct_2(u1_struct_0(k5_yellow_0(A,B)),u1_struct_0(k1_waybel_8(k1_yellow_1(k7_waybel_0(k5_yellow_0(A,B))))),C,D) = k5_waybel_0(k5_yellow_0(A,B),D) ) ) ) ) )).
fof(s9_funct_2__e2_26__waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => m1_subset_1(k2_waybel_8(A,B),u1_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A)))),B,C) = k2_waybel_8(A,C) ) ) ) ) )).
fof(s9_funct_2__e31_61__ordeq_01,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => m1_subset_1(k6_xcmplx_0(A,k7_xcmplx_0(B,k2_xcmplx_0(C,1))),k1_numbers) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,C,D) = k6_xcmplx_0(A,k7_xcmplx_0(B,k2_xcmplx_0(D,1))) ) ) ) ) )).
fof(s9_funct_2__e5_36_4_2_1__jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => m1_subset_1(k2_jordan21(k9_jordan6(k3_topreal1(2,k1_jordan9(A,B)))),k1_euclid(2)) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_euclid(2)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_euclid(2),B,C) = k2_jordan21(k9_jordan6(k3_topreal1(2,k1_jordan9(A,C)))) ) ) ) ) )).
fof(s9_funct_2__e6_35_4_2_1__jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => m1_subset_1(k1_jordan21(k8_jordan6(k3_topreal1(2,k1_jordan9(A,B)))),k1_euclid(2)) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_euclid(2)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_euclid(2),B,C) = k1_jordan21(k8_jordan6(k3_topreal1(2,k1_jordan9(A,C)))) ) ) ) ) )).
fof(s9_funct_2__e6_5_3__random_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => m1_subset_1(k8_relset_1(A,k1_numbers,C,k1_funct_1(D,E)),B) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k3_funct_2(k4_ordinal1,B,E,F) = k8_relset_1(A,k1_numbers,C,k1_funct_1(D,F)) ) ) ) ) )).
fof(s9_funct_2__e9_13_1_2__metrizts,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) => ( ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => m1_subset_1(k2_zfmisc_1(k2_domain_1(A,B,D),k3_domain_1(A,B,D)),C) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(A,B)) => k3_funct_2(k2_zfmisc_1(A,B),C,D,E) = k2_zfmisc_1(k2_domain_1(A,B,E),k3_domain_1(A,B,E)) ) ) ) ) )).
fof(s9_nat_1__e2_34__int_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => ( r1_xxreal_0(A,B) | ? [C] : ( v7_ordinal1(C) & v1_int_2(C) & r1_int_1(C,B) ) ) ) ) ) => ? [D] : ( v7_ordinal1(D) & v1_int_2(D) & r1_int_1(D,A) ) ) ) => ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ? [E] : ( v7_ordinal1(E) & v1_int_2(E) & r1_int_1(E,A) ) ) ) )).
fof(s9_nat_1__e3_41__srings_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_srings_1(B,A) & v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) & v1_funct_2(C,k6_nat_lat,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,B))) ) => ( ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(D,E) | ( m2_subset_1(E,k4_ordinal1,k6_nat_lat) & ! [F] : ~ ( r2_tarski(F,k1_funct_1(C,E)) & ! [G] : ( m2_subset_1(G,k4_ordinal1,k6_nat_lat) => ! [H] : ( m2_subset_1(H,k4_ordinal1,k6_nat_lat) => ! [I] : ( v7_ordinal1(I) => ~ ( E = G & r1_xxreal_0(H,G) & I = k3_xxreal_3(H,1) & r2_tarski(F,k6_subset_1(k3_funct_2(k6_nat_lat,B,C,H),k3_card_3(k5_relset_1(k6_nat_lat,B,C,k2_finseq_1(I))))) ) ) ) ) ) ) ) ) ) ) => ( m2_subset_1(D,k4_ordinal1,k6_nat_lat) & ! [J] : ~ ( r2_tarski(J,k1_funct_1(C,D)) & ! [K] : ( m2_subset_1(K,k4_ordinal1,k6_nat_lat) => ! [L] : ( m2_subset_1(L,k4_ordinal1,k6_nat_lat) => ! [M] : ( v7_ordinal1(M) => ~ ( D = K & r1_xxreal_0(L,K) & M = k3_xxreal_3(L,1) & r2_tarski(J,k6_subset_1(k3_funct_2(k6_nat_lat,B,C,L),k3_card_3(k5_relset_1(k6_nat_lat,B,C,k2_finseq_1(M))))) ) ) ) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( m2_subset_1(D,k4_ordinal1,k6_nat_lat) & ! [N] : ~ ( r2_tarski(N,k1_funct_1(C,D)) & ! [O] : ( m2_subset_1(O,k4_ordinal1,k6_nat_lat) => ! [P] : ( m2_subset_1(P,k4_ordinal1,k6_nat_lat) => ! [Q] : ( v7_ordinal1(Q) => ~ ( D = O & r1_xxreal_0(P,O) & Q = k3_xxreal_3(P,1) & r2_tarski(N,k6_subset_1(k3_funct_2(k6_nat_lat,B,C,P),k3_card_3(k5_relset_1(k6_nat_lat,B,C,k2_finseq_1(Q))))) ) ) ) ) ) ) ) ) ) ) )).
fof(s9_nat_1__e4_19_2__mesfunc9,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & v7_ordinal1(B) ) => ( ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,C) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(B,D) => ( r1_xxreal_0(C,D) | r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),B),k12_supinf_2(k1_mesfunc9(A),D)) ) ) ) ) => r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),B),k12_supinf_2(k1_mesfunc9(A),C)) ) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),B),k12_supinf_2(k1_mesfunc9(A),C)) ) ) ) ) )).
fof(s9_nat_1__e6_42__mesfunc9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) & v7_ordinal1(C) & m1_subset_1(D,A) ) => ( ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(C,E) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(C,F) => ( r1_xxreal_0(E,F) | r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C),D),k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),F),D)) ) ) ) ) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C),D),k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(C,E) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C),D),k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),E),D)) ) ) ) ) )).
fof(s9_nat_1__e7_97__lpspace2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) & m1_subset_1(C,A) & v7_ordinal1(D) ) => ( ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,E) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(D,F) => ( r1_xxreal_0(E,F) | r1_xxreal_0(k1_funct_1(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),D),C),k1_funct_1(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),F),C)) ) ) ) ) => r1_xxreal_0(k1_funct_1(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),D),C),k1_funct_1(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),E),C)) ) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(D,E) => r1_xxreal_0(k1_funct_1(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),D),C),k1_funct_1(k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),E),C)) ) ) ) ) )).
fof(s9_ordinal2__e2_19__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k3_knaster(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = C & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_funct_1(B,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k15_lattice3(A,k10_xtuple_0(k5_relat_1(F,G))) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => k3_knaster(A,B,C,k1_ordinal1(D)) = k1_funct_1(B,k3_knaster(A,B,C,D)) ) ) ) )).
fof(s9_ordinal2__e2_20__knaster,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & m1_subset_1(C,u1_struct_0(A)) ) => ( ! [D] : ( v3_ordinal1(D) => ! [E] : ( E = k4_knaster(A,B,C,D) <=> ? [F] : ( v1_relat_1(F) & v5_ordinal1(F) & v1_funct_1(F) & E = k1_ordinal2(F) & k9_xtuple_0(F) = k1_ordinal1(D) & k1_funct_1(F,k5_ordinal1) = C & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(k1_ordinal1(G),k1_ordinal1(D)) => k1_funct_1(F,k1_ordinal1(G)) = k1_funct_1(B,k1_funct_1(F,G)) ) ) & ! [G] : ( v3_ordinal1(G) => ( ( r2_tarski(G,k1_ordinal1(D)) & v4_ordinal1(G) ) => ( G = k5_ordinal1 | k1_funct_1(F,G) = k16_lattice3(A,k10_xtuple_0(k5_relat_1(F,G))) ) ) ) ) ) ) => ! [D] : ( v3_ordinal1(D) => k4_knaster(A,B,C,k1_ordinal1(D)) = k1_funct_1(B,k4_knaster(A,B,C,D)) ) ) ) )).
fof(s9_ordinal2__e2_23__lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k3_lattice8(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k1_lattice8(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_tarski(k10_xtuple_0(k5_relat_1(D,E))) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k3_lattice8(A,k1_ordinal1(B)) = k1_lattice8(k3_lattice8(A,B)) ) ) ) )).
fof(s9_ordinal2__e2_30__lattice8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ! [E] : ( v3_ordinal1(E) => ! [F] : ( F = k5_lattice8(A,B,C,D,E) <=> ? [G] : ( v1_relat_1(G) & v5_ordinal1(G) & v1_funct_1(G) & F = k1_ordinal2(G) & k9_xtuple_0(G) = k1_ordinal1(E) & k1_funct_1(G,k5_ordinal1) = C & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(k1_ordinal1(H),k1_ordinal1(E)) => k1_funct_1(G,k1_ordinal1(H)) = k2_lattice8(k3_lattice8(A,H),B,k10_lattice5(k3_lattice8(A,H),B,k1_funct_1(G,H)),k4_lattice8(A,B,C,D,H)) ) ) & ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(H,k1_ordinal1(E)) & v4_ordinal1(H) ) => ( H = k5_ordinal1 | k1_funct_1(G,H) = k3_tarski(k10_xtuple_0(k5_relat_1(G,H))) ) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => k5_lattice8(A,B,C,D,k1_ordinal1(E)) = k2_lattice8(k3_lattice8(A,E),B,k10_lattice5(k3_lattice8(A,E),B,k5_lattice8(A,B,C,D,E)),k4_lattice8(A,B,C,D,E)) ) ) ) )).
fof(s9_ordinal2__e2_46__lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k8_lattice5(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = A & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k5_lattice5(k1_funct_1(D,E)) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_tarski(k10_xtuple_0(k5_relat_1(D,E))) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k8_lattice5(A,k1_ordinal1(B)) = k5_lattice5(k8_lattice5(A,B)) ) ) ) )).
fof(s9_ordinal2__e2_56__lattice5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) & m1_lattice5(D,A,B,C) ) => ( ! [E] : ( v3_ordinal1(E) => ! [F] : ( F = k11_lattice5(A,B,C,D,E) <=> ? [G] : ( v1_relat_1(G) & v5_ordinal1(G) & v1_funct_1(G) & F = k1_ordinal2(G) & k9_xtuple_0(G) = k1_ordinal1(E) & k1_funct_1(G,k5_ordinal1) = C & ! [H] : ( v3_ordinal1(H) => ( r2_tarski(k1_ordinal1(H),k1_ordinal1(E)) => k1_funct_1(G,k1_ordinal1(H)) = k6_lattice5(k8_lattice5(A,H),B,k10_lattice5(k8_lattice5(A,H),B,k1_funct_1(G,H)),k9_lattice5(A,B,C,D,H)) ) ) & ! [H] : ( v3_ordinal1(H) => ( ( r2_tarski(H,k1_ordinal1(E)) & v4_ordinal1(H) ) => ( H = k5_ordinal1 | k1_funct_1(G,H) = k3_tarski(k10_xtuple_0(k5_relat_1(G,H))) ) ) ) ) ) ) => ! [E] : ( v3_ordinal1(E) => k11_lattice5(A,B,C,D,k1_ordinal1(E)) = k6_lattice5(k8_lattice5(A,E),B,k10_lattice5(k8_lattice5(A,E),B,k11_lattice5(A,B,C,D,E)),k9_lattice5(A,B,C,D,E)) ) ) ) )).
fof(s9_ordinal2__e3_13__classes1,axiom,( ! [A] : ( ! [B] : ( v3_ordinal1(B) => ! [C] : ( C = k2_classes1(A,B) <=> ? [D] : ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & C = k1_ordinal2(D) & k9_xtuple_0(D) = k1_ordinal1(B) & k1_funct_1(D,k5_ordinal1) = k1_tarski(A) & ! [E] : ( v3_ordinal1(E) => ( r2_tarski(k1_ordinal1(E),k1_ordinal1(B)) => k1_funct_1(D,k1_ordinal1(E)) = k2_xboole_0(k2_xboole_0(a_3_2_classes1(A,D,E),a_3_3_classes1(A,D,E)),k8_subset_1(k1_zfmisc_1(k1_funct_1(D,E)),k9_setfam_1(k1_funct_1(D,E)),k1_classes1(A))) ) ) & ! [E] : ( v3_ordinal1(E) => ( ( r2_tarski(E,k1_ordinal1(B)) & v4_ordinal1(E) ) => ( E = k5_ordinal1 | k1_funct_1(D,E) = k3_xboole_0(k3_tarski(k10_xtuple_0(k5_relat_1(D,E))),k1_classes1(A)) ) ) ) ) ) ) => ! [B] : ( v3_ordinal1(B) => k2_classes1(A,k1_ordinal1(B)) = k2_xboole_0(k2_xboole_0(a_2_3_classes1(A,B),a_2_4_classes1(A,B)),k8_subset_1(k1_zfmisc_1(k2_classes1(A,B)),k9_setfam_1(k2_classes1(A,B)),k1_classes1(A))) ) ) )).
fof(s9_ordinal2__e3_34__classes1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k4_classes1(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_xboole_0 & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k9_setfam_1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k3_tarski(k10_xtuple_0(k5_relat_1(C,D))) ) ) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k4_classes1(k1_ordinal1(A)) = k9_setfam_1(k4_classes1(A)) ) )).
fof(s9_ordinal2__e3_63__classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k16_classes2(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k13_classes2 & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k1_classes1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k15_classes2(k3_card_3(k5_relat_1(C,D))) ) ) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k16_classes2(k1_ordinal1(A)) = k1_classes1(k16_classes2(A)) ) )).
fof(s9_ordinal2__e4_30__card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( B = k3_card_1(A) <=> ? [C] : ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k9_xtuple_0(C) = k1_ordinal1(A) & k1_funct_1(C,k5_ordinal1) = k1_card_1(k4_ordinal1) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(k1_ordinal1(D),k1_ordinal1(A)) => k1_funct_1(C,k1_ordinal1(D)) = k2_card_1(k1_funct_1(C,D)) ) ) & ! [D] : ( v3_ordinal1(D) => ( ( r2_tarski(D,k1_ordinal1(A)) & v4_ordinal1(D) ) => ( D = k5_ordinal1 | k1_funct_1(C,D) = k1_card_1(k4_ordinal2(k5_relat_1(C,D))) ) ) ) ) ) ) => ! [A] : ( v3_ordinal1(A) => k3_card_1(k1_ordinal1(A)) = k2_card_1(k3_card_1(A)) ) )).
fof(s9_yellow18__e11_67_1__yellow20,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v16_functor0(C,A,B) & m2_functor0(C,A,B) & ~ v2_struct_0(D) & v2_altcat_1(D) & v3_altcat_2(D,A) & m1_altcat_2(D,A) & ~ v2_struct_0(E) & v2_altcat_1(E) & v3_altcat_2(E,B) & m1_altcat_2(E,B) ) => ( ( ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => m1_subset_1(k3_functor0(D,B,k5_yellow20(A,B,D,C),F),u1_struct_0(E)) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ( k1_altcat_1(D,F,G) != k1_xboole_0 => ! [H] : ( m1_subset_1(H,k1_altcat_1(D,F,G)) => r2_hidden(k8_functor0(D,B,k5_yellow20(A,B,D,C),F,G,H),k1_binop_1(u1_altcat_1(E),k3_functor0(D,B,k5_yellow20(A,B,D,C),G),k3_functor0(D,B,k5_yellow20(A,B,D,C),F))) ) ) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ~ ( k1_altcat_1(D,F,G) != k1_xboole_0 & k1_altcat_1(D,G,H) != k1_xboole_0 & ? [I] : ( m1_subset_1(I,k1_altcat_1(D,F,G)) & ? [J] : ( m1_subset_1(J,k1_altcat_1(D,G,H)) & ? [K] : ( m1_subset_1(K,u1_struct_0(E)) & ? [L] : ( m1_subset_1(L,u1_struct_0(E)) & ? [M] : ( m1_subset_1(M,u1_struct_0(E)) & K = k3_functor0(D,B,k5_yellow20(A,B,D,C),F) & L = k3_functor0(D,B,k5_yellow20(A,B,D,C),G) & M = k3_functor0(D,B,k5_yellow20(A,B,D,C),H) & ? [N] : ( m1_subset_1(N,k1_altcat_1(E,L,K)) & ? [O] : ( m1_subset_1(O,k1_altcat_1(E,M,L)) & N = k8_functor0(D,B,k5_yellow20(A,B,D,C),F,G,I) & O = k8_functor0(D,B,k5_yellow20(A,B,D,C),G,H,J) & k8_functor0(D,B,k5_yellow20(A,B,D,C),F,H,k5_altcat_1(D,F,G,H,I,J)) != k5_altcat_1(E,M,L,K,O,N) ) ) ) ) ) ) ) ) ) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( G = k3_functor0(D,B,k5_yellow20(A,B,D,C),F) => k8_functor0(D,B,k5_yellow20(A,B,D,C),F,F,k8_altcat_1(D,F)) = k8_altcat_1(E,G) ) ) ) ) => ? [F] : ( v9_functor0(F,D,E) & v16_functor0(F,D,E) & m2_functor0(F,D,E) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => k3_functor0(D,E,F,G) = k3_functor0(D,B,k5_yellow20(A,B,D,C),G) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( k1_altcat_1(D,G,H) != k1_xboole_0 => ! [I] : ( m1_subset_1(I,k1_altcat_1(D,G,H)) => k8_functor0(D,E,F,G,H,I) = k8_functor0(D,B,k5_yellow20(A,B,D,C),G,H,I) ) ) ) ) ) ) ) )).
fof(spc0_boole,axiom,( v1_xboole_0(0) )).
fof(spc0_numerals,axiom,( m1_subset_1(0,k4_ordinal1) )).
fof(spc100_boole,axiom,( ~ v1_xboole_0(100) )).
fof(spc100_numerals,axiom,( v2_xxreal_0(100) & m1_subset_1(100,k4_ordinal1) )).
fof(spc101_boole,axiom,( ~ v1_xboole_0(101) )).
fof(spc101_numerals,axiom,( v2_xxreal_0(101) & m1_subset_1(101,k4_ordinal1) )).
fof(spc102_boole,axiom,( ~ v1_xboole_0(102) )).
fof(spc102_numerals,axiom,( v2_xxreal_0(102) & m1_subset_1(102,k4_ordinal1) )).
fof(spc103_boole,axiom,( ~ v1_xboole_0(103) )).
fof(spc103_numerals,axiom,( v2_xxreal_0(103) & m1_subset_1(103,k4_ordinal1) )).
fof(spc104_boole,axiom,( ~ v1_xboole_0(104) )).
fof(spc104_numerals,axiom,( v2_xxreal_0(104) & m1_subset_1(104,k4_ordinal1) )).
fof(spc105_boole,axiom,( ~ v1_xboole_0(105) )).
fof(spc105_numerals,axiom,( v2_xxreal_0(105) & m1_subset_1(105,k4_ordinal1) )).
fof(spc106_boole,axiom,( ~ v1_xboole_0(106) )).
fof(spc106_numerals,axiom,( v2_xxreal_0(106) & m1_subset_1(106,k4_ordinal1) )).
fof(spc107_boole,axiom,( ~ v1_xboole_0(107) )).
fof(spc107_numerals,axiom,( v2_xxreal_0(107) & m1_subset_1(107,k4_ordinal1) )).
fof(spc108_boole,axiom,( ~ v1_xboole_0(108) )).
fof(spc108_numerals,axiom,( v2_xxreal_0(108) & m1_subset_1(108,k4_ordinal1) )).
fof(spc109_boole,axiom,( ~ v1_xboole_0(109) )).
fof(spc109_numerals,axiom,( v2_xxreal_0(109) & m1_subset_1(109,k4_ordinal1) )).
fof(spc10_arithm,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k3_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) = k5_xcmplx_0(k3_xcmplx_0(A,B)) ) )).
fof(spc10_boole,axiom,( ~ v1_xboole_0(10) )).
fof(spc10_numerals,axiom,( v2_xxreal_0(10) & m1_subset_1(10,k4_ordinal1) )).
fof(spc110_boole,axiom,( ~ v1_xboole_0(110) )).
fof(spc110_numerals,axiom,( v2_xxreal_0(110) & m1_subset_1(110,k4_ordinal1) )).
fof(spc111_boole,axiom,( ~ v1_xboole_0(111) )).
fof(spc111_numerals,axiom,( v2_xxreal_0(111) & m1_subset_1(111,k4_ordinal1) )).
fof(spc112_boole,axiom,( ~ v1_xboole_0(112) )).
fof(spc112_numerals,axiom,( v2_xxreal_0(112) & m1_subset_1(112,k4_ordinal1) )).
fof(spc113_boole,axiom,( ~ v1_xboole_0(113) )).
fof(spc113_numerals,axiom,( v2_xxreal_0(113) & m1_subset_1(113,k4_ordinal1) )).
fof(spc114_boole,axiom,( ~ v1_xboole_0(114) )).
fof(spc114_numerals,axiom,( v2_xxreal_0(114) & m1_subset_1(114,k4_ordinal1) )).
fof(spc115_boole,axiom,( ~ v1_xboole_0(115) )).
fof(spc115_numerals,axiom,( v2_xxreal_0(115) & m1_subset_1(115,k4_ordinal1) )).
fof(spc116_boole,axiom,( ~ v1_xboole_0(116) )).
fof(spc116_numerals,axiom,( v2_xxreal_0(116) & m1_subset_1(116,k4_ordinal1) )).
fof(spc117_boole,axiom,( ~ v1_xboole_0(117) )).
fof(spc117_numerals,axiom,( v2_xxreal_0(117) & m1_subset_1(117,k4_ordinal1) )).
fof(spc118_boole,axiom,( ~ v1_xboole_0(118) )).
fof(spc118_numerals,axiom,( v2_xxreal_0(118) & m1_subset_1(118,k4_ordinal1) )).
fof(spc119_boole,axiom,( ~ v1_xboole_0(119) )).
fof(spc119_numerals,axiom,( v2_xxreal_0(119) & m1_subset_1(119,k4_ordinal1) )).
fof(spc11_arithm,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k7_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) = k7_xcmplx_0(B,A) ) )).
fof(spc11_boole,axiom,( ~ v1_xboole_0(11) )).
fof(spc11_numerals,axiom,( v2_xxreal_0(11) & m1_subset_1(11,k4_ordinal1) )).
fof(spc120_boole,axiom,( ~ v1_xboole_0(120) )).
fof(spc120_numerals,axiom,( v2_xxreal_0(120) & m1_subset_1(120,k4_ordinal1) )).
fof(spc121_boole,axiom,( ~ v1_xboole_0(121) )).
fof(spc121_numerals,axiom,( v2_xxreal_0(121) & m1_subset_1(121,k4_ordinal1) )).
fof(spc122_boole,axiom,( ~ v1_xboole_0(122) )).
fof(spc122_numerals,axiom,( v2_xxreal_0(122) & m1_subset_1(122,k4_ordinal1) )).
fof(spc123_boole,axiom,( ~ v1_xboole_0(123) )).
fof(spc123_numerals,axiom,( v2_xxreal_0(123) & m1_subset_1(123,k4_ordinal1) )).
fof(spc124_boole,axiom,( ~ v1_xboole_0(124) )).
fof(spc124_numerals,axiom,( v2_xxreal_0(124) & m1_subset_1(124,k4_ordinal1) )).
fof(spc125_boole,axiom,( ~ v1_xboole_0(125) )).
fof(spc125_numerals,axiom,( v2_xxreal_0(125) & m1_subset_1(125,k4_ordinal1) )).
fof(spc126_boole,axiom,( ~ v1_xboole_0(126) )).
fof(spc126_numerals,axiom,( v2_xxreal_0(126) & m1_subset_1(126,k4_ordinal1) )).
fof(spc127_boole,axiom,( ~ v1_xboole_0(127) )).
fof(spc127_numerals,axiom,( v2_xxreal_0(127) & m1_subset_1(127,k4_ordinal1) )).
fof(spc128_boole,axiom,( ~ v1_xboole_0(128) )).
fof(spc128_numerals,axiom,( v2_xxreal_0(128) & m1_subset_1(128,k4_ordinal1) )).
fof(spc129_boole,axiom,( ~ v1_xboole_0(129) )).
fof(spc129_numerals,axiom,( v2_xxreal_0(129) & m1_subset_1(129,k4_ordinal1) )).
fof(spc12_arithm,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k3_xcmplx_0(A,k5_xcmplx_0(B)) = k7_xcmplx_0(A,B) ) )).
fof(spc12_boole,axiom,( ~ v1_xboole_0(12) )).
fof(spc12_numerals,axiom,( v2_xxreal_0(12) & m1_subset_1(12,k4_ordinal1) )).
fof(spc130_boole,axiom,( ~ v1_xboole_0(130) )).
fof(spc130_numerals,axiom,( v2_xxreal_0(130) & m1_subset_1(130,k4_ordinal1) )).
fof(spc131_boole,axiom,( ~ v1_xboole_0(131) )).
fof(spc131_numerals,axiom,( v2_xxreal_0(131) & m1_subset_1(131,k4_ordinal1) )).
fof(spc132_boole,axiom,( ~ v1_xboole_0(132) )).
fof(spc132_numerals,axiom,( v2_xxreal_0(132) & m1_subset_1(132,k4_ordinal1) )).
fof(spc133_boole,axiom,( ~ v1_xboole_0(133) )).
fof(spc133_numerals,axiom,( v2_xxreal_0(133) & m1_subset_1(133,k4_ordinal1) )).
fof(spc134_boole,axiom,( ~ v1_xboole_0(134) )).
fof(spc134_numerals,axiom,( v2_xxreal_0(134) & m1_subset_1(134,k4_ordinal1) )).
fof(spc135_boole,axiom,( ~ v1_xboole_0(135) )).
fof(spc135_numerals,axiom,( v2_xxreal_0(135) & m1_subset_1(135,k4_ordinal1) )).
fof(spc136_boole,axiom,( ~ v1_xboole_0(136) )).
fof(spc136_numerals,axiom,( v2_xxreal_0(136) & m1_subset_1(136,k4_ordinal1) )).
fof(spc137_boole,axiom,( ~ v1_xboole_0(137) )).
fof(spc137_numerals,axiom,( v2_xxreal_0(137) & m1_subset_1(137,k4_ordinal1) )).
fof(spc138_boole,axiom,( ~ v1_xboole_0(138) )).
fof(spc138_numerals,axiom,( v2_xxreal_0(138) & m1_subset_1(138,k4_ordinal1) )).
fof(spc139_boole,axiom,( ~ v1_xboole_0(139) )).
fof(spc139_numerals,axiom,( v2_xxreal_0(139) & m1_subset_1(139,k4_ordinal1) )).
fof(spc13_boole,axiom,( ~ v1_xboole_0(13) )).
fof(spc13_numerals,axiom,( v2_xxreal_0(13) & m1_subset_1(13,k4_ordinal1) )).
fof(spc140_boole,axiom,( ~ v1_xboole_0(140) )).
fof(spc140_numerals,axiom,( v2_xxreal_0(140) & m1_subset_1(140,k4_ordinal1) )).
fof(spc141_boole,axiom,( ~ v1_xboole_0(141) )).
fof(spc141_numerals,axiom,( v2_xxreal_0(141) & m1_subset_1(141,k4_ordinal1) )).
fof(spc142_boole,axiom,( ~ v1_xboole_0(142) )).
fof(spc142_numerals,axiom,( v2_xxreal_0(142) & m1_subset_1(142,k4_ordinal1) )).
fof(spc143_boole,axiom,( ~ v1_xboole_0(143) )).
fof(spc143_numerals,axiom,( v2_xxreal_0(143) & m1_subset_1(143,k4_ordinal1) )).
fof(spc144_boole,axiom,( ~ v1_xboole_0(144) )).
fof(spc144_numerals,axiom,( v2_xxreal_0(144) & m1_subset_1(144,k4_ordinal1) )).
fof(spc145_boole,axiom,( ~ v1_xboole_0(145) )).
fof(spc145_numerals,axiom,( v2_xxreal_0(145) & m1_subset_1(145,k4_ordinal1) )).
fof(spc146_boole,axiom,( ~ v1_xboole_0(146) )).
fof(spc146_numerals,axiom,( v2_xxreal_0(146) & m1_subset_1(146,k4_ordinal1) )).
fof(spc147_boole,axiom,( ~ v1_xboole_0(147) )).
fof(spc147_numerals,axiom,( v2_xxreal_0(147) & m1_subset_1(147,k4_ordinal1) )).
fof(spc148_boole,axiom,( ~ v1_xboole_0(148) )).
fof(spc148_numerals,axiom,( v2_xxreal_0(148) & m1_subset_1(148,k4_ordinal1) )).
fof(spc149_boole,axiom,( ~ v1_xboole_0(149) )).
fof(spc149_numerals,axiom,( v2_xxreal_0(149) & m1_subset_1(149,k4_ordinal1) )).
fof(spc14_boole,axiom,( ~ v1_xboole_0(14) )).
fof(spc14_numerals,axiom,( v2_xxreal_0(14) & m1_subset_1(14,k4_ordinal1) )).
fof(spc150_boole,axiom,( ~ v1_xboole_0(150) )).
fof(spc150_numerals,axiom,( v2_xxreal_0(150) & m1_subset_1(150,k4_ordinal1) )).
fof(spc151_boole,axiom,( ~ v1_xboole_0(151) )).
fof(spc151_numerals,axiom,( v2_xxreal_0(151) & m1_subset_1(151,k4_ordinal1) )).
fof(spc152_boole,axiom,( ~ v1_xboole_0(152) )).
fof(spc152_numerals,axiom,( v2_xxreal_0(152) & m1_subset_1(152,k4_ordinal1) )).
fof(spc153_boole,axiom,( ~ v1_xboole_0(153) )).
fof(spc153_numerals,axiom,( v2_xxreal_0(153) & m1_subset_1(153,k4_ordinal1) )).
fof(spc154_boole,axiom,( ~ v1_xboole_0(154) )).
fof(spc154_numerals,axiom,( v2_xxreal_0(154) & m1_subset_1(154,k4_ordinal1) )).
fof(spc155_boole,axiom,( ~ v1_xboole_0(155) )).
fof(spc155_numerals,axiom,( v2_xxreal_0(155) & m1_subset_1(155,k4_ordinal1) )).
fof(spc156_boole,axiom,( ~ v1_xboole_0(156) )).
fof(spc156_numerals,axiom,( v2_xxreal_0(156) & m1_subset_1(156,k4_ordinal1) )).
fof(spc157_boole,axiom,( ~ v1_xboole_0(157) )).
fof(spc157_numerals,axiom,( v2_xxreal_0(157) & m1_subset_1(157,k4_ordinal1) )).
fof(spc158_boole,axiom,( ~ v1_xboole_0(158) )).
fof(spc158_numerals,axiom,( v2_xxreal_0(158) & m1_subset_1(158,k4_ordinal1) )).
fof(spc159_boole,axiom,( ~ v1_xboole_0(159) )).
fof(spc159_numerals,axiom,( v2_xxreal_0(159) & m1_subset_1(159,k4_ordinal1) )).
fof(spc15_boole,axiom,( ~ v1_xboole_0(15) )).
fof(spc15_numerals,axiom,( v2_xxreal_0(15) & m1_subset_1(15,k4_ordinal1) )).
fof(spc160_boole,axiom,( ~ v1_xboole_0(160) )).
fof(spc160_numerals,axiom,( v2_xxreal_0(160) & m1_subset_1(160,k4_ordinal1) )).
fof(spc161_boole,axiom,( ~ v1_xboole_0(161) )).
fof(spc161_numerals,axiom,( v2_xxreal_0(161) & m1_subset_1(161,k4_ordinal1) )).
fof(spc162_boole,axiom,( ~ v1_xboole_0(162) )).
fof(spc162_numerals,axiom,( v2_xxreal_0(162) & m1_subset_1(162,k4_ordinal1) )).
fof(spc163_boole,axiom,( ~ v1_xboole_0(163) )).
fof(spc163_numerals,axiom,( v2_xxreal_0(163) & m1_subset_1(163,k4_ordinal1) )).
fof(spc164_boole,axiom,( ~ v1_xboole_0(164) )).
fof(spc164_numerals,axiom,( v2_xxreal_0(164) & m1_subset_1(164,k4_ordinal1) )).
fof(spc165_boole,axiom,( ~ v1_xboole_0(165) )).
fof(spc165_numerals,axiom,( v2_xxreal_0(165) & m1_subset_1(165,k4_ordinal1) )).
fof(spc166_boole,axiom,( ~ v1_xboole_0(166) )).
fof(spc166_numerals,axiom,( v2_xxreal_0(166) & m1_subset_1(166,k4_ordinal1) )).
fof(spc167_boole,axiom,( ~ v1_xboole_0(167) )).
fof(spc167_numerals,axiom,( v2_xxreal_0(167) & m1_subset_1(167,k4_ordinal1) )).
fof(spc168_boole,axiom,( ~ v1_xboole_0(168) )).
fof(spc168_numerals,axiom,( v2_xxreal_0(168) & m1_subset_1(168,k4_ordinal1) )).
fof(spc169_boole,axiom,( ~ v1_xboole_0(169) )).
fof(spc169_numerals,axiom,( v2_xxreal_0(169) & m1_subset_1(169,k4_ordinal1) )).
fof(spc16_boole,axiom,( ~ v1_xboole_0(16) )).
fof(spc16_numerals,axiom,( v2_xxreal_0(16) & m1_subset_1(16,k4_ordinal1) )).
fof(spc170_boole,axiom,( ~ v1_xboole_0(170) )).
fof(spc170_numerals,axiom,( v2_xxreal_0(170) & m1_subset_1(170,k4_ordinal1) )).
fof(spc171_boole,axiom,( ~ v1_xboole_0(171) )).
fof(spc171_numerals,axiom,( v2_xxreal_0(171) & m1_subset_1(171,k4_ordinal1) )).
fof(spc172_boole,axiom,( ~ v1_xboole_0(172) )).
fof(spc172_numerals,axiom,( v2_xxreal_0(172) & m1_subset_1(172,k4_ordinal1) )).
fof(spc173_boole,axiom,( ~ v1_xboole_0(173) )).
fof(spc173_numerals,axiom,( v2_xxreal_0(173) & m1_subset_1(173,k4_ordinal1) )).
fof(spc174_boole,axiom,( ~ v1_xboole_0(174) )).
fof(spc174_numerals,axiom,( v2_xxreal_0(174) & m1_subset_1(174,k4_ordinal1) )).
fof(spc175_boole,axiom,( ~ v1_xboole_0(175) )).
fof(spc175_numerals,axiom,( v2_xxreal_0(175) & m1_subset_1(175,k4_ordinal1) )).
fof(spc176_boole,axiom,( ~ v1_xboole_0(176) )).
fof(spc176_numerals,axiom,( v2_xxreal_0(176) & m1_subset_1(176,k4_ordinal1) )).
fof(spc177_boole,axiom,( ~ v1_xboole_0(177) )).
fof(spc177_numerals,axiom,( v2_xxreal_0(177) & m1_subset_1(177,k4_ordinal1) )).
fof(spc178_boole,axiom,( ~ v1_xboole_0(178) )).
fof(spc178_numerals,axiom,( v2_xxreal_0(178) & m1_subset_1(178,k4_ordinal1) )).
fof(spc179_boole,axiom,( ~ v1_xboole_0(179) )).
fof(spc179_numerals,axiom,( v2_xxreal_0(179) & m1_subset_1(179,k4_ordinal1) )).
fof(spc17_boole,axiom,( ~ v1_xboole_0(17) )).
fof(spc17_numerals,axiom,( v2_xxreal_0(17) & m1_subset_1(17,k4_ordinal1) )).
fof(spc180_boole,axiom,( ~ v1_xboole_0(180) )).
fof(spc180_numerals,axiom,( v2_xxreal_0(180) & m1_subset_1(180,k4_ordinal1) )).
fof(spc181_boole,axiom,( ~ v1_xboole_0(181) )).
fof(spc181_numerals,axiom,( v2_xxreal_0(181) & m1_subset_1(181,k4_ordinal1) )).
fof(spc182_boole,axiom,( ~ v1_xboole_0(182) )).
fof(spc182_numerals,axiom,( v2_xxreal_0(182) & m1_subset_1(182,k4_ordinal1) )).
fof(spc183_boole,axiom,( ~ v1_xboole_0(183) )).
fof(spc183_numerals,axiom,( v2_xxreal_0(183) & m1_subset_1(183,k4_ordinal1) )).
fof(spc184_boole,axiom,( ~ v1_xboole_0(184) )).
fof(spc184_numerals,axiom,( v2_xxreal_0(184) & m1_subset_1(184,k4_ordinal1) )).
fof(spc185_boole,axiom,( ~ v1_xboole_0(185) )).
fof(spc185_numerals,axiom,( v2_xxreal_0(185) & m1_subset_1(185,k4_ordinal1) )).
fof(spc186_boole,axiom,( ~ v1_xboole_0(186) )).
fof(spc186_numerals,axiom,( v2_xxreal_0(186) & m1_subset_1(186,k4_ordinal1) )).
fof(spc187_boole,axiom,( ~ v1_xboole_0(187) )).
fof(spc187_numerals,axiom,( v2_xxreal_0(187) & m1_subset_1(187,k4_ordinal1) )).
fof(spc188_boole,axiom,( ~ v1_xboole_0(188) )).
fof(spc188_numerals,axiom,( v2_xxreal_0(188) & m1_subset_1(188,k4_ordinal1) )).
fof(spc189_boole,axiom,( ~ v1_xboole_0(189) )).
fof(spc189_numerals,axiom,( v2_xxreal_0(189) & m1_subset_1(189,k4_ordinal1) )).
fof(spc18_boole,axiom,( ~ v1_xboole_0(18) )).
fof(spc18_numerals,axiom,( v2_xxreal_0(18) & m1_subset_1(18,k4_ordinal1) )).
fof(spc190_boole,axiom,( ~ v1_xboole_0(190) )).
fof(spc190_numerals,axiom,( v2_xxreal_0(190) & m1_subset_1(190,k4_ordinal1) )).
fof(spc191_boole,axiom,( ~ v1_xboole_0(191) )).
fof(spc191_numerals,axiom,( v2_xxreal_0(191) & m1_subset_1(191,k4_ordinal1) )).
fof(spc192_boole,axiom,( ~ v1_xboole_0(192) )).
fof(spc192_numerals,axiom,( v2_xxreal_0(192) & m1_subset_1(192,k4_ordinal1) )).
fof(spc193_boole,axiom,( ~ v1_xboole_0(193) )).
fof(spc193_numerals,axiom,( v2_xxreal_0(193) & m1_subset_1(193,k4_ordinal1) )).
fof(spc194_boole,axiom,( ~ v1_xboole_0(194) )).
fof(spc194_numerals,axiom,( v2_xxreal_0(194) & m1_subset_1(194,k4_ordinal1) )).
fof(spc195_boole,axiom,( ~ v1_xboole_0(195) )).
fof(spc195_numerals,axiom,( v2_xxreal_0(195) & m1_subset_1(195,k4_ordinal1) )).
fof(spc196_boole,axiom,( ~ v1_xboole_0(196) )).
fof(spc196_numerals,axiom,( v2_xxreal_0(196) & m1_subset_1(196,k4_ordinal1) )).
fof(spc197_boole,axiom,( ~ v1_xboole_0(197) )).
fof(spc197_numerals,axiom,( v2_xxreal_0(197) & m1_subset_1(197,k4_ordinal1) )).
fof(spc198_boole,axiom,( ~ v1_xboole_0(198) )).
fof(spc198_numerals,axiom,( v2_xxreal_0(198) & m1_subset_1(198,k4_ordinal1) )).
fof(spc199_boole,axiom,( ~ v1_xboole_0(199) )).
fof(spc199_numerals,axiom,( v2_xxreal_0(199) & m1_subset_1(199,k4_ordinal1) )).
fof(spc19_boole,axiom,( ~ v1_xboole_0(19) )).
fof(spc19_numerals,axiom,( v2_xxreal_0(19) & m1_subset_1(19,k4_ordinal1) )).
fof(spc1_arithm,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k2_xcmplx_0(A,k4_xcmplx_0(B)) = k6_xcmplx_0(A,B) ) )).
fof(spc1_boole,axiom,( ~ v1_xboole_0(1) )).
fof(spc1_numerals,axiom,( v2_xxreal_0(1) & m1_subset_1(1,k4_ordinal1) )).
fof(spc200_boole,axiom,( ~ v1_xboole_0(200) )).
fof(spc200_numerals,axiom,( v2_xxreal_0(200) & m1_subset_1(200,k4_ordinal1) )).
fof(spc201_boole,axiom,( ~ v1_xboole_0(201) )).
fof(spc201_numerals,axiom,( v2_xxreal_0(201) & m1_subset_1(201,k4_ordinal1) )).
fof(spc202_boole,axiom,( ~ v1_xboole_0(202) )).
fof(spc202_numerals,axiom,( v2_xxreal_0(202) & m1_subset_1(202,k4_ordinal1) )).
fof(spc203_boole,axiom,( ~ v1_xboole_0(203) )).
fof(spc203_numerals,axiom,( v2_xxreal_0(203) & m1_subset_1(203,k4_ordinal1) )).
fof(spc204_boole,axiom,( ~ v1_xboole_0(204) )).
fof(spc204_numerals,axiom,( v2_xxreal_0(204) & m1_subset_1(204,k4_ordinal1) )).
fof(spc205_boole,axiom,( ~ v1_xboole_0(205) )).
fof(spc205_numerals,axiom,( v2_xxreal_0(205) & m1_subset_1(205,k4_ordinal1) )).
fof(spc206_boole,axiom,( ~ v1_xboole_0(206) )).
fof(spc206_numerals,axiom,( v2_xxreal_0(206) & m1_subset_1(206,k4_ordinal1) )).
fof(spc207_boole,axiom,( ~ v1_xboole_0(207) )).
fof(spc207_numerals,axiom,( v2_xxreal_0(207) & m1_subset_1(207,k4_ordinal1) )).
fof(spc208_boole,axiom,( ~ v1_xboole_0(208) )).
fof(spc208_numerals,axiom,( v2_xxreal_0(208) & m1_subset_1(208,k4_ordinal1) )).
fof(spc209_boole,axiom,( ~ v1_xboole_0(209) )).
fof(spc209_numerals,axiom,( v2_xxreal_0(209) & m1_subset_1(209,k4_ordinal1) )).
fof(spc20_boole,axiom,( ~ v1_xboole_0(20) )).
fof(spc20_numerals,axiom,( v2_xxreal_0(20) & m1_subset_1(20,k4_ordinal1) )).
fof(spc210_boole,axiom,( ~ v1_xboole_0(210) )).
fof(spc210_numerals,axiom,( v2_xxreal_0(210) & m1_subset_1(210,k4_ordinal1) )).
fof(spc211_boole,axiom,( ~ v1_xboole_0(211) )).
fof(spc211_numerals,axiom,( v2_xxreal_0(211) & m1_subset_1(211,k4_ordinal1) )).
fof(spc212_boole,axiom,( ~ v1_xboole_0(212) )).
fof(spc212_numerals,axiom,( v2_xxreal_0(212) & m1_subset_1(212,k4_ordinal1) )).
fof(spc213_boole,axiom,( ~ v1_xboole_0(213) )).
fof(spc213_numerals,axiom,( v2_xxreal_0(213) & m1_subset_1(213,k4_ordinal1) )).
fof(spc214_boole,axiom,( ~ v1_xboole_0(214) )).
fof(spc214_numerals,axiom,( v2_xxreal_0(214) & m1_subset_1(214,k4_ordinal1) )).
fof(spc215_boole,axiom,( ~ v1_xboole_0(215) )).
fof(spc215_numerals,axiom,( v2_xxreal_0(215) & m1_subset_1(215,k4_ordinal1) )).
fof(spc216_boole,axiom,( ~ v1_xboole_0(216) )).
fof(spc216_numerals,axiom,( v2_xxreal_0(216) & m1_subset_1(216,k4_ordinal1) )).
fof(spc217_boole,axiom,( ~ v1_xboole_0(217) )).
fof(spc217_numerals,axiom,( v2_xxreal_0(217) & m1_subset_1(217,k4_ordinal1) )).
fof(spc218_boole,axiom,( ~ v1_xboole_0(218) )).
fof(spc218_numerals,axiom,( v2_xxreal_0(218) & m1_subset_1(218,k4_ordinal1) )).
fof(spc219_boole,axiom,( ~ v1_xboole_0(219) )).
fof(spc219_numerals,axiom,( v2_xxreal_0(219) & m1_subset_1(219,k4_ordinal1) )).
fof(spc21_boole,axiom,( ~ v1_xboole_0(21) )).
fof(spc21_numerals,axiom,( v2_xxreal_0(21) & m1_subset_1(21,k4_ordinal1) )).
fof(spc220_boole,axiom,( ~ v1_xboole_0(220) )).
fof(spc220_numerals,axiom,( v2_xxreal_0(220) & m1_subset_1(220,k4_ordinal1) )).
fof(spc221_boole,axiom,( ~ v1_xboole_0(221) )).
fof(spc221_numerals,axiom,( v2_xxreal_0(221) & m1_subset_1(221,k4_ordinal1) )).
fof(spc222_boole,axiom,( ~ v1_xboole_0(222) )).
fof(spc222_numerals,axiom,( v2_xxreal_0(222) & m1_subset_1(222,k4_ordinal1) )).
fof(spc223_boole,axiom,( ~ v1_xboole_0(223) )).
fof(spc223_numerals,axiom,( v2_xxreal_0(223) & m1_subset_1(223,k4_ordinal1) )).
fof(spc224_boole,axiom,( ~ v1_xboole_0(224) )).
fof(spc224_numerals,axiom,( v2_xxreal_0(224) & m1_subset_1(224,k4_ordinal1) )).
fof(spc225_boole,axiom,( ~ v1_xboole_0(225) )).
fof(spc225_numerals,axiom,( v2_xxreal_0(225) & m1_subset_1(225,k4_ordinal1) )).
fof(spc226_boole,axiom,( ~ v1_xboole_0(226) )).
fof(spc226_numerals,axiom,( v2_xxreal_0(226) & m1_subset_1(226,k4_ordinal1) )).
fof(spc227_boole,axiom,( ~ v1_xboole_0(227) )).
fof(spc227_numerals,axiom,( v2_xxreal_0(227) & m1_subset_1(227,k4_ordinal1) )).
fof(spc228_boole,axiom,( ~ v1_xboole_0(228) )).
fof(spc228_numerals,axiom,( v2_xxreal_0(228) & m1_subset_1(228,k4_ordinal1) )).
fof(spc229_boole,axiom,( ~ v1_xboole_0(229) )).
fof(spc229_numerals,axiom,( v2_xxreal_0(229) & m1_subset_1(229,k4_ordinal1) )).
fof(spc22_boole,axiom,( ~ v1_xboole_0(22) )).
fof(spc22_numerals,axiom,( v2_xxreal_0(22) & m1_subset_1(22,k4_ordinal1) )).
fof(spc230_boole,axiom,( ~ v1_xboole_0(230) )).
fof(spc230_numerals,axiom,( v2_xxreal_0(230) & m1_subset_1(230,k4_ordinal1) )).
fof(spc231_boole,axiom,( ~ v1_xboole_0(231) )).
fof(spc231_numerals,axiom,( v2_xxreal_0(231) & m1_subset_1(231,k4_ordinal1) )).
fof(spc232_boole,axiom,( ~ v1_xboole_0(232) )).
fof(spc232_numerals,axiom,( v2_xxreal_0(232) & m1_subset_1(232,k4_ordinal1) )).
fof(spc233_boole,axiom,( ~ v1_xboole_0(233) )).
fof(spc233_numerals,axiom,( v2_xxreal_0(233) & m1_subset_1(233,k4_ordinal1) )).
fof(spc234_boole,axiom,( ~ v1_xboole_0(234) )).
fof(spc234_numerals,axiom,( v2_xxreal_0(234) & m1_subset_1(234,k4_ordinal1) )).
fof(spc235_boole,axiom,( ~ v1_xboole_0(235) )).
fof(spc235_numerals,axiom,( v2_xxreal_0(235) & m1_subset_1(235,k4_ordinal1) )).
fof(spc236_boole,axiom,( ~ v1_xboole_0(236) )).
fof(spc236_numerals,axiom,( v2_xxreal_0(236) & m1_subset_1(236,k4_ordinal1) )).
fof(spc237_boole,axiom,( ~ v1_xboole_0(237) )).
fof(spc237_numerals,axiom,( v2_xxreal_0(237) & m1_subset_1(237,k4_ordinal1) )).
fof(spc238_boole,axiom,( ~ v1_xboole_0(238) )).
fof(spc238_numerals,axiom,( v2_xxreal_0(238) & m1_subset_1(238,k4_ordinal1) )).
fof(spc239_boole,axiom,( ~ v1_xboole_0(239) )).
fof(spc239_numerals,axiom,( v2_xxreal_0(239) & m1_subset_1(239,k4_ordinal1) )).
fof(spc23_boole,axiom,( ~ v1_xboole_0(23) )).
fof(spc23_numerals,axiom,( v2_xxreal_0(23) & m1_subset_1(23,k4_ordinal1) )).
fof(spc240_boole,axiom,( ~ v1_xboole_0(240) )).
fof(spc240_numerals,axiom,( v2_xxreal_0(240) & m1_subset_1(240,k4_ordinal1) )).
fof(spc241_boole,axiom,( ~ v1_xboole_0(241) )).
fof(spc241_numerals,axiom,( v2_xxreal_0(241) & m1_subset_1(241,k4_ordinal1) )).
fof(spc242_boole,axiom,( ~ v1_xboole_0(242) )).
fof(spc242_numerals,axiom,( v2_xxreal_0(242) & m1_subset_1(242,k4_ordinal1) )).
fof(spc243_boole,axiom,( ~ v1_xboole_0(243) )).
fof(spc243_numerals,axiom,( v2_xxreal_0(243) & m1_subset_1(243,k4_ordinal1) )).
fof(spc244_boole,axiom,( ~ v1_xboole_0(244) )).
fof(spc244_numerals,axiom,( v2_xxreal_0(244) & m1_subset_1(244,k4_ordinal1) )).
fof(spc245_boole,axiom,( ~ v1_xboole_0(245) )).
fof(spc245_numerals,axiom,( v2_xxreal_0(245) & m1_subset_1(245,k4_ordinal1) )).
fof(spc246_boole,axiom,( ~ v1_xboole_0(246) )).
fof(spc246_numerals,axiom,( v2_xxreal_0(246) & m1_subset_1(246,k4_ordinal1) )).
fof(spc247_boole,axiom,( ~ v1_xboole_0(247) )).
fof(spc247_numerals,axiom,( v2_xxreal_0(247) & m1_subset_1(247,k4_ordinal1) )).
fof(spc248_boole,axiom,( ~ v1_xboole_0(248) )).
fof(spc248_numerals,axiom,( v2_xxreal_0(248) & m1_subset_1(248,k4_ordinal1) )).
fof(spc249_boole,axiom,( ~ v1_xboole_0(249) )).
fof(spc249_numerals,axiom,( v2_xxreal_0(249) & m1_subset_1(249,k4_ordinal1) )).
fof(spc24_boole,axiom,( ~ v1_xboole_0(24) )).
fof(spc24_numerals,axiom,( v2_xxreal_0(24) & m1_subset_1(24,k4_ordinal1) )).
fof(spc250_boole,axiom,( ~ v1_xboole_0(250) )).
fof(spc250_numerals,axiom,( v2_xxreal_0(250) & m1_subset_1(250,k4_ordinal1) )).
fof(spc251_boole,axiom,( ~ v1_xboole_0(251) )).
fof(spc251_numerals,axiom,( v2_xxreal_0(251) & m1_subset_1(251,k4_ordinal1) )).
fof(spc252_boole,axiom,( ~ v1_xboole_0(252) )).
fof(spc252_numerals,axiom,( v2_xxreal_0(252) & m1_subset_1(252,k4_ordinal1) )).
fof(spc253_boole,axiom,( ~ v1_xboole_0(253) )).
fof(spc253_numerals,axiom,( v2_xxreal_0(253) & m1_subset_1(253,k4_ordinal1) )).
fof(spc254_boole,axiom,( ~ v1_xboole_0(254) )).
fof(spc254_numerals,axiom,( v2_xxreal_0(254) & m1_subset_1(254,k4_ordinal1) )).
fof(spc255_boole,axiom,( ~ v1_xboole_0(255) )).
fof(spc255_numerals,axiom,( v2_xxreal_0(255) & m1_subset_1(255,k4_ordinal1) )).
fof(spc256_boole,axiom,( ~ v1_xboole_0(256) )).
fof(spc256_numerals,axiom,( v2_xxreal_0(256) & m1_subset_1(256,k4_ordinal1) )).
fof(spc257_boole,axiom,( ~ v1_xboole_0(257) )).
fof(spc257_numerals,axiom,( v2_xxreal_0(257) & m1_subset_1(257,k4_ordinal1) )).
fof(spc258_boole,axiom,( ~ v1_xboole_0(258) )).
fof(spc258_numerals,axiom,( v2_xxreal_0(258) & m1_subset_1(258,k4_ordinal1) )).
fof(spc259_boole,axiom,( ~ v1_xboole_0(259) )).
fof(spc259_numerals,axiom,( v2_xxreal_0(259) & m1_subset_1(259,k4_ordinal1) )).
fof(spc25_boole,axiom,( ~ v1_xboole_0(25) )).
fof(spc25_numerals,axiom,( v2_xxreal_0(25) & m1_subset_1(25,k4_ordinal1) )).
fof(spc260_boole,axiom,( ~ v1_xboole_0(260) )).
fof(spc260_numerals,axiom,( v2_xxreal_0(260) & m1_subset_1(260,k4_ordinal1) )).
fof(spc261_boole,axiom,( ~ v1_xboole_0(261) )).
fof(spc261_numerals,axiom,( v2_xxreal_0(261) & m1_subset_1(261,k4_ordinal1) )).
fof(spc262_boole,axiom,( ~ v1_xboole_0(262) )).
fof(spc262_numerals,axiom,( v2_xxreal_0(262) & m1_subset_1(262,k4_ordinal1) )).
fof(spc263_boole,axiom,( ~ v1_xboole_0(263) )).
fof(spc263_numerals,axiom,( v2_xxreal_0(263) & m1_subset_1(263,k4_ordinal1) )).
fof(spc264_boole,axiom,( ~ v1_xboole_0(264) )).
fof(spc264_numerals,axiom,( v2_xxreal_0(264) & m1_subset_1(264,k4_ordinal1) )).
fof(spc265_boole,axiom,( ~ v1_xboole_0(265) )).
fof(spc265_numerals,axiom,( v2_xxreal_0(265) & m1_subset_1(265,k4_ordinal1) )).
fof(spc266_boole,axiom,( ~ v1_xboole_0(266) )).
fof(spc266_numerals,axiom,( v2_xxreal_0(266) & m1_subset_1(266,k4_ordinal1) )).
fof(spc267_boole,axiom,( ~ v1_xboole_0(267) )).
fof(spc267_numerals,axiom,( v2_xxreal_0(267) & m1_subset_1(267,k4_ordinal1) )).
fof(spc268_boole,axiom,( ~ v1_xboole_0(268) )).
fof(spc268_numerals,axiom,( v2_xxreal_0(268) & m1_subset_1(268,k4_ordinal1) )).
fof(spc269_boole,axiom,( ~ v1_xboole_0(269) )).
fof(spc269_numerals,axiom,( v2_xxreal_0(269) & m1_subset_1(269,k4_ordinal1) )).
fof(spc26_boole,axiom,( ~ v1_xboole_0(26) )).
fof(spc26_numerals,axiom,( v2_xxreal_0(26) & m1_subset_1(26,k4_ordinal1) )).
fof(spc270_boole,axiom,( ~ v1_xboole_0(270) )).
fof(spc270_numerals,axiom,( v2_xxreal_0(270) & m1_subset_1(270,k4_ordinal1) )).
fof(spc271_boole,axiom,( ~ v1_xboole_0(271) )).
fof(spc271_numerals,axiom,( v2_xxreal_0(271) & m1_subset_1(271,k4_ordinal1) )).
fof(spc272_boole,axiom,( ~ v1_xboole_0(272) )).
fof(spc272_numerals,axiom,( v2_xxreal_0(272) & m1_subset_1(272,k4_ordinal1) )).
fof(spc273_boole,axiom,( ~ v1_xboole_0(273) )).
fof(spc273_numerals,axiom,( v2_xxreal_0(273) & m1_subset_1(273,k4_ordinal1) )).
fof(spc274_boole,axiom,( ~ v1_xboole_0(274) )).
fof(spc274_numerals,axiom,( v2_xxreal_0(274) & m1_subset_1(274,k4_ordinal1) )).
fof(spc275_boole,axiom,( ~ v1_xboole_0(275) )).
fof(spc275_numerals,axiom,( v2_xxreal_0(275) & m1_subset_1(275,k4_ordinal1) )).
fof(spc276_boole,axiom,( ~ v1_xboole_0(276) )).
fof(spc276_numerals,axiom,( v2_xxreal_0(276) & m1_subset_1(276,k4_ordinal1) )).
fof(spc277_boole,axiom,( ~ v1_xboole_0(277) )).
fof(spc277_numerals,axiom,( v2_xxreal_0(277) & m1_subset_1(277,k4_ordinal1) )).
fof(spc278_boole,axiom,( ~ v1_xboole_0(278) )).
fof(spc278_numerals,axiom,( v2_xxreal_0(278) & m1_subset_1(278,k4_ordinal1) )).
fof(spc279_boole,axiom,( ~ v1_xboole_0(279) )).
fof(spc279_numerals,axiom,( v2_xxreal_0(279) & m1_subset_1(279,k4_ordinal1) )).
fof(spc27_boole,axiom,( ~ v1_xboole_0(27) )).
fof(spc27_numerals,axiom,( v2_xxreal_0(27) & m1_subset_1(27,k4_ordinal1) )).
fof(spc280_boole,axiom,( ~ v1_xboole_0(280) )).
fof(spc280_numerals,axiom,( v2_xxreal_0(280) & m1_subset_1(280,k4_ordinal1) )).
fof(spc281_boole,axiom,( ~ v1_xboole_0(281) )).
fof(spc281_numerals,axiom,( v2_xxreal_0(281) & m1_subset_1(281,k4_ordinal1) )).
fof(spc282_boole,axiom,( ~ v1_xboole_0(282) )).
fof(spc282_numerals,axiom,( v2_xxreal_0(282) & m1_subset_1(282,k4_ordinal1) )).
fof(spc283_boole,axiom,( ~ v1_xboole_0(283) )).
fof(spc283_numerals,axiom,( v2_xxreal_0(283) & m1_subset_1(283,k4_ordinal1) )).
fof(spc284_boole,axiom,( ~ v1_xboole_0(284) )).
fof(spc284_numerals,axiom,( v2_xxreal_0(284) & m1_subset_1(284,k4_ordinal1) )).
fof(spc285_boole,axiom,( ~ v1_xboole_0(285) )).
fof(spc285_numerals,axiom,( v2_xxreal_0(285) & m1_subset_1(285,k4_ordinal1) )).
fof(spc286_boole,axiom,( ~ v1_xboole_0(286) )).
fof(spc286_numerals,axiom,( v2_xxreal_0(286) & m1_subset_1(286,k4_ordinal1) )).
fof(spc287_boole,axiom,( ~ v1_xboole_0(287) )).
fof(spc287_numerals,axiom,( v2_xxreal_0(287) & m1_subset_1(287,k4_ordinal1) )).
fof(spc288_boole,axiom,( ~ v1_xboole_0(288) )).
fof(spc288_numerals,axiom,( v2_xxreal_0(288) & m1_subset_1(288,k4_ordinal1) )).
fof(spc289_boole,axiom,( ~ v1_xboole_0(289) )).
fof(spc289_numerals,axiom,( v2_xxreal_0(289) & m1_subset_1(289,k4_ordinal1) )).
fof(spc28_boole,axiom,( ~ v1_xboole_0(28) )).
fof(spc28_numerals,axiom,( v2_xxreal_0(28) & m1_subset_1(28,k4_ordinal1) )).
fof(spc290_boole,axiom,( ~ v1_xboole_0(290) )).
fof(spc290_numerals,axiom,( v2_xxreal_0(290) & m1_subset_1(290,k4_ordinal1) )).
fof(spc291_boole,axiom,( ~ v1_xboole_0(291) )).
fof(spc291_numerals,axiom,( v2_xxreal_0(291) & m1_subset_1(291,k4_ordinal1) )).
fof(spc292_boole,axiom,( ~ v1_xboole_0(292) )).
fof(spc292_numerals,axiom,( v2_xxreal_0(292) & m1_subset_1(292,k4_ordinal1) )).
fof(spc293_boole,axiom,( ~ v1_xboole_0(293) )).
fof(spc293_numerals,axiom,( v2_xxreal_0(293) & m1_subset_1(293,k4_ordinal1) )).
fof(spc294_boole,axiom,( ~ v1_xboole_0(294) )).
fof(spc294_numerals,axiom,( v2_xxreal_0(294) & m1_subset_1(294,k4_ordinal1) )).
fof(spc295_boole,axiom,( ~ v1_xboole_0(295) )).
fof(spc295_numerals,axiom,( v2_xxreal_0(295) & m1_subset_1(295,k4_ordinal1) )).
fof(spc296_boole,axiom,( ~ v1_xboole_0(296) )).
fof(spc296_numerals,axiom,( v2_xxreal_0(296) & m1_subset_1(296,k4_ordinal1) )).
fof(spc297_boole,axiom,( ~ v1_xboole_0(297) )).
fof(spc297_numerals,axiom,( v2_xxreal_0(297) & m1_subset_1(297,k4_ordinal1) )).
fof(spc298_boole,axiom,( ~ v1_xboole_0(298) )).
fof(spc298_numerals,axiom,( v2_xxreal_0(298) & m1_subset_1(298,k4_ordinal1) )).
fof(spc299_boole,axiom,( ~ v1_xboole_0(299) )).
fof(spc299_numerals,axiom,( v2_xxreal_0(299) & m1_subset_1(299,k4_ordinal1) )).
fof(spc29_boole,axiom,( ~ v1_xboole_0(29) )).
fof(spc29_numerals,axiom,( v2_xxreal_0(29) & m1_subset_1(29,k4_ordinal1) )).
fof(spc2_arithm,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(A,k4_xcmplx_0(1)) = k4_xcmplx_0(A) ) )).
fof(spc2_boole,axiom,( ~ v1_xboole_0(2) )).
fof(spc2_numerals,axiom,( v2_xxreal_0(2) & m1_subset_1(2,k4_ordinal1) )).
fof(spc300_boole,axiom,( ~ v1_xboole_0(300) )).
fof(spc300_numerals,axiom,( v2_xxreal_0(300) & m1_subset_1(300,k4_ordinal1) )).
fof(spc301_boole,axiom,( ~ v1_xboole_0(301) )).
fof(spc301_numerals,axiom,( v2_xxreal_0(301) & m1_subset_1(301,k4_ordinal1) )).
fof(spc302_boole,axiom,( ~ v1_xboole_0(302) )).
fof(spc302_numerals,axiom,( v2_xxreal_0(302) & m1_subset_1(302,k4_ordinal1) )).
fof(spc303_boole,axiom,( ~ v1_xboole_0(303) )).
fof(spc303_numerals,axiom,( v2_xxreal_0(303) & m1_subset_1(303,k4_ordinal1) )).
fof(spc304_boole,axiom,( ~ v1_xboole_0(304) )).
fof(spc304_numerals,axiom,( v2_xxreal_0(304) & m1_subset_1(304,k4_ordinal1) )).
fof(spc306_boole,axiom,( ~ v1_xboole_0(306) )).
fof(spc306_numerals,axiom,( v2_xxreal_0(306) & m1_subset_1(306,k4_ordinal1) )).
fof(spc307_boole,axiom,( ~ v1_xboole_0(307) )).
fof(spc307_numerals,axiom,( v2_xxreal_0(307) & m1_subset_1(307,k4_ordinal1) )).
fof(spc308_boole,axiom,( ~ v1_xboole_0(308) )).
fof(spc308_numerals,axiom,( v2_xxreal_0(308) & m1_subset_1(308,k4_ordinal1) )).
fof(spc309_boole,axiom,( ~ v1_xboole_0(309) )).
fof(spc309_numerals,axiom,( v2_xxreal_0(309) & m1_subset_1(309,k4_ordinal1) )).
fof(spc30_boole,axiom,( ~ v1_xboole_0(30) )).
fof(spc30_numerals,axiom,( v2_xxreal_0(30) & m1_subset_1(30,k4_ordinal1) )).
fof(spc310_boole,axiom,( ~ v1_xboole_0(310) )).
fof(spc310_numerals,axiom,( v2_xxreal_0(310) & m1_subset_1(310,k4_ordinal1) )).
fof(spc311_boole,axiom,( ~ v1_xboole_0(311) )).
fof(spc311_numerals,axiom,( v2_xxreal_0(311) & m1_subset_1(311,k4_ordinal1) )).
fof(spc312_boole,axiom,( ~ v1_xboole_0(312) )).
fof(spc312_numerals,axiom,( v2_xxreal_0(312) & m1_subset_1(312,k4_ordinal1) )).
fof(spc313_boole,axiom,( ~ v1_xboole_0(313) )).
fof(spc313_numerals,axiom,( v2_xxreal_0(313) & m1_subset_1(313,k4_ordinal1) )).
fof(spc314_boole,axiom,( ~ v1_xboole_0(314) )).
fof(spc314_numerals,axiom,( v2_xxreal_0(314) & m1_subset_1(314,k4_ordinal1) )).
fof(spc315_boole,axiom,( ~ v1_xboole_0(315) )).
fof(spc315_numerals,axiom,( v2_xxreal_0(315) & m1_subset_1(315,k4_ordinal1) )).
fof(spc316_boole,axiom,( ~ v1_xboole_0(316) )).
fof(spc316_numerals,axiom,( v2_xxreal_0(316) & m1_subset_1(316,k4_ordinal1) )).
fof(spc317_boole,axiom,( ~ v1_xboole_0(317) )).
fof(spc317_numerals,axiom,( v2_xxreal_0(317) & m1_subset_1(317,k4_ordinal1) )).
fof(spc318_boole,axiom,( ~ v1_xboole_0(318) )).
fof(spc318_numerals,axiom,( v2_xxreal_0(318) & m1_subset_1(318,k4_ordinal1) )).
fof(spc319_boole,axiom,( ~ v1_xboole_0(319) )).
fof(spc319_numerals,axiom,( v2_xxreal_0(319) & m1_subset_1(319,k4_ordinal1) )).
fof(spc31_boole,axiom,( ~ v1_xboole_0(31) )).
fof(spc31_numerals,axiom,( v2_xxreal_0(31) & m1_subset_1(31,k4_ordinal1) )).
fof(spc320_boole,axiom,( ~ v1_xboole_0(320) )).
fof(spc320_numerals,axiom,( v2_xxreal_0(320) & m1_subset_1(320,k4_ordinal1) )).
fof(spc321_boole,axiom,( ~ v1_xboole_0(321) )).
fof(spc321_numerals,axiom,( v2_xxreal_0(321) & m1_subset_1(321,k4_ordinal1) )).
fof(spc322_boole,axiom,( ~ v1_xboole_0(322) )).
fof(spc322_numerals,axiom,( v2_xxreal_0(322) & m1_subset_1(322,k4_ordinal1) )).
fof(spc323_boole,axiom,( ~ v1_xboole_0(323) )).
fof(spc323_numerals,axiom,( v2_xxreal_0(323) & m1_subset_1(323,k4_ordinal1) )).
fof(spc324_boole,axiom,( ~ v1_xboole_0(324) )).
fof(spc324_numerals,axiom,( v2_xxreal_0(324) & m1_subset_1(324,k4_ordinal1) )).
fof(spc325_boole,axiom,( ~ v1_xboole_0(325) )).
fof(spc325_numerals,axiom,( v2_xxreal_0(325) & m1_subset_1(325,k4_ordinal1) )).
fof(spc326_boole,axiom,( ~ v1_xboole_0(326) )).
fof(spc326_numerals,axiom,( v2_xxreal_0(326) & m1_subset_1(326,k4_ordinal1) )).
fof(spc327_boole,axiom,( ~ v1_xboole_0(327) )).
fof(spc327_numerals,axiom,( v2_xxreal_0(327) & m1_subset_1(327,k4_ordinal1) )).
fof(spc328_boole,axiom,( ~ v1_xboole_0(328) )).
fof(spc328_numerals,axiom,( v2_xxreal_0(328) & m1_subset_1(328,k4_ordinal1) )).
fof(spc329_boole,axiom,( ~ v1_xboole_0(329) )).
fof(spc329_numerals,axiom,( v2_xxreal_0(329) & m1_subset_1(329,k4_ordinal1) )).
fof(spc32_boole,axiom,( ~ v1_xboole_0(32) )).
fof(spc32_numerals,axiom,( v2_xxreal_0(32) & m1_subset_1(32,k4_ordinal1) )).
fof(spc330_boole,axiom,( ~ v1_xboole_0(330) )).
fof(spc330_numerals,axiom,( v2_xxreal_0(330) & m1_subset_1(330,k4_ordinal1) )).
fof(spc331_boole,axiom,( ~ v1_xboole_0(331) )).
fof(spc331_numerals,axiom,( v2_xxreal_0(331) & m1_subset_1(331,k4_ordinal1) )).
fof(spc332_boole,axiom,( ~ v1_xboole_0(332) )).
fof(spc332_numerals,axiom,( v2_xxreal_0(332) & m1_subset_1(332,k4_ordinal1) )).
fof(spc333_boole,axiom,( ~ v1_xboole_0(333) )).
fof(spc333_numerals,axiom,( v2_xxreal_0(333) & m1_subset_1(333,k4_ordinal1) )).
fof(spc334_boole,axiom,( ~ v1_xboole_0(334) )).
fof(spc334_numerals,axiom,( v2_xxreal_0(334) & m1_subset_1(334,k4_ordinal1) )).
fof(spc335_boole,axiom,( ~ v1_xboole_0(335) )).
fof(spc335_numerals,axiom,( v2_xxreal_0(335) & m1_subset_1(335,k4_ordinal1) )).
fof(spc336_boole,axiom,( ~ v1_xboole_0(336) )).
fof(spc336_numerals,axiom,( v2_xxreal_0(336) & m1_subset_1(336,k4_ordinal1) )).
fof(spc337_boole,axiom,( ~ v1_xboole_0(337) )).
fof(spc337_numerals,axiom,( v2_xxreal_0(337) & m1_subset_1(337,k4_ordinal1) )).
fof(spc338_boole,axiom,( ~ v1_xboole_0(338) )).
fof(spc338_numerals,axiom,( v2_xxreal_0(338) & m1_subset_1(338,k4_ordinal1) )).
fof(spc339_boole,axiom,( ~ v1_xboole_0(339) )).
fof(spc339_numerals,axiom,( v2_xxreal_0(339) & m1_subset_1(339,k4_ordinal1) )).
fof(spc33_boole,axiom,( ~ v1_xboole_0(33) )).
fof(spc33_numerals,axiom,( v2_xxreal_0(33) & m1_subset_1(33,k4_ordinal1) )).
fof(spc340_boole,axiom,( ~ v1_xboole_0(340) )).
fof(spc340_numerals,axiom,( v2_xxreal_0(340) & m1_subset_1(340,k4_ordinal1) )).
fof(spc341_boole,axiom,( ~ v1_xboole_0(341) )).
fof(spc341_numerals,axiom,( v2_xxreal_0(341) & m1_subset_1(341,k4_ordinal1) )).
fof(spc342_boole,axiom,( ~ v1_xboole_0(342) )).
fof(spc342_numerals,axiom,( v2_xxreal_0(342) & m1_subset_1(342,k4_ordinal1) )).
fof(spc343_boole,axiom,( ~ v1_xboole_0(343) )).
fof(spc343_numerals,axiom,( v2_xxreal_0(343) & m1_subset_1(343,k4_ordinal1) )).
fof(spc344_boole,axiom,( ~ v1_xboole_0(344) )).
fof(spc344_numerals,axiom,( v2_xxreal_0(344) & m1_subset_1(344,k4_ordinal1) )).
fof(spc345_boole,axiom,( ~ v1_xboole_0(345) )).
fof(spc345_numerals,axiom,( v2_xxreal_0(345) & m1_subset_1(345,k4_ordinal1) )).
fof(spc346_boole,axiom,( ~ v1_xboole_0(346) )).
fof(spc346_numerals,axiom,( v2_xxreal_0(346) & m1_subset_1(346,k4_ordinal1) )).
fof(spc347_boole,axiom,( ~ v1_xboole_0(347) )).
fof(spc347_numerals,axiom,( v2_xxreal_0(347) & m1_subset_1(347,k4_ordinal1) )).
fof(spc348_boole,axiom,( ~ v1_xboole_0(348) )).
fof(spc348_numerals,axiom,( v2_xxreal_0(348) & m1_subset_1(348,k4_ordinal1) )).
fof(spc349_boole,axiom,( ~ v1_xboole_0(349) )).
fof(spc349_numerals,axiom,( v2_xxreal_0(349) & m1_subset_1(349,k4_ordinal1) )).
fof(spc34_boole,axiom,( ~ v1_xboole_0(34) )).
fof(spc34_numerals,axiom,( v2_xxreal_0(34) & m1_subset_1(34,k4_ordinal1) )).
fof(spc350_boole,axiom,( ~ v1_xboole_0(350) )).
fof(spc350_numerals,axiom,( v2_xxreal_0(350) & m1_subset_1(350,k4_ordinal1) )).
fof(spc351_boole,axiom,( ~ v1_xboole_0(351) )).
fof(spc351_numerals,axiom,( v2_xxreal_0(351) & m1_subset_1(351,k4_ordinal1) )).
fof(spc352_boole,axiom,( ~ v1_xboole_0(352) )).
fof(spc352_numerals,axiom,( v2_xxreal_0(352) & m1_subset_1(352,k4_ordinal1) )).
fof(spc353_boole,axiom,( ~ v1_xboole_0(353) )).
fof(spc353_numerals,axiom,( v2_xxreal_0(353) & m1_subset_1(353,k4_ordinal1) )).
fof(spc354_boole,axiom,( ~ v1_xboole_0(354) )).
fof(spc354_numerals,axiom,( v2_xxreal_0(354) & m1_subset_1(354,k4_ordinal1) )).
fof(spc355_boole,axiom,( ~ v1_xboole_0(355) )).
fof(spc355_numerals,axiom,( v2_xxreal_0(355) & m1_subset_1(355,k4_ordinal1) )).
fof(spc356_boole,axiom,( ~ v1_xboole_0(356) )).
fof(spc356_numerals,axiom,( v2_xxreal_0(356) & m1_subset_1(356,k4_ordinal1) )).
fof(spc357_boole,axiom,( ~ v1_xboole_0(357) )).
fof(spc357_numerals,axiom,( v2_xxreal_0(357) & m1_subset_1(357,k4_ordinal1) )).
fof(spc358_boole,axiom,( ~ v1_xboole_0(358) )).
fof(spc358_numerals,axiom,( v2_xxreal_0(358) & m1_subset_1(358,k4_ordinal1) )).
fof(spc359_boole,axiom,( ~ v1_xboole_0(359) )).
fof(spc359_numerals,axiom,( v2_xxreal_0(359) & m1_subset_1(359,k4_ordinal1) )).
fof(spc35_boole,axiom,( ~ v1_xboole_0(35) )).
fof(spc35_numerals,axiom,( v2_xxreal_0(35) & m1_subset_1(35,k4_ordinal1) )).
fof(spc360_boole,axiom,( ~ v1_xboole_0(360) )).
fof(spc360_numerals,axiom,( v2_xxreal_0(360) & m1_subset_1(360,k4_ordinal1) )).
fof(spc361_boole,axiom,( ~ v1_xboole_0(361) )).
fof(spc361_numerals,axiom,( v2_xxreal_0(361) & m1_subset_1(361,k4_ordinal1) )).
fof(spc362_boole,axiom,( ~ v1_xboole_0(362) )).
fof(spc362_numerals,axiom,( v2_xxreal_0(362) & m1_subset_1(362,k4_ordinal1) )).
fof(spc363_boole,axiom,( ~ v1_xboole_0(363) )).
fof(spc363_numerals,axiom,( v2_xxreal_0(363) & m1_subset_1(363,k4_ordinal1) )).
fof(spc364_boole,axiom,( ~ v1_xboole_0(364) )).
fof(spc364_numerals,axiom,( v2_xxreal_0(364) & m1_subset_1(364,k4_ordinal1) )).
fof(spc365_boole,axiom,( ~ v1_xboole_0(365) )).
fof(spc365_numerals,axiom,( v2_xxreal_0(365) & m1_subset_1(365,k4_ordinal1) )).
fof(spc366_boole,axiom,( ~ v1_xboole_0(366) )).
fof(spc366_numerals,axiom,( v2_xxreal_0(366) & m1_subset_1(366,k4_ordinal1) )).
fof(spc367_boole,axiom,( ~ v1_xboole_0(367) )).
fof(spc367_numerals,axiom,( v2_xxreal_0(367) & m1_subset_1(367,k4_ordinal1) )).
fof(spc368_boole,axiom,( ~ v1_xboole_0(368) )).
fof(spc368_numerals,axiom,( v2_xxreal_0(368) & m1_subset_1(368,k4_ordinal1) )).
fof(spc369_boole,axiom,( ~ v1_xboole_0(369) )).
fof(spc369_numerals,axiom,( v2_xxreal_0(369) & m1_subset_1(369,k4_ordinal1) )).
fof(spc36_boole,axiom,( ~ v1_xboole_0(36) )).
fof(spc36_numerals,axiom,( v2_xxreal_0(36) & m1_subset_1(36,k4_ordinal1) )).
fof(spc370_boole,axiom,( ~ v1_xboole_0(370) )).
fof(spc370_numerals,axiom,( v2_xxreal_0(370) & m1_subset_1(370,k4_ordinal1) )).
fof(spc371_boole,axiom,( ~ v1_xboole_0(371) )).
fof(spc371_numerals,axiom,( v2_xxreal_0(371) & m1_subset_1(371,k4_ordinal1) )).
fof(spc372_boole,axiom,( ~ v1_xboole_0(372) )).
fof(spc372_numerals,axiom,( v2_xxreal_0(372) & m1_subset_1(372,k4_ordinal1) )).
fof(spc373_boole,axiom,( ~ v1_xboole_0(373) )).
fof(spc373_numerals,axiom,( v2_xxreal_0(373) & m1_subset_1(373,k4_ordinal1) )).
fof(spc374_boole,axiom,( ~ v1_xboole_0(374) )).
fof(spc374_numerals,axiom,( v2_xxreal_0(374) & m1_subset_1(374,k4_ordinal1) )).
fof(spc375_boole,axiom,( ~ v1_xboole_0(375) )).
fof(spc375_numerals,axiom,( v2_xxreal_0(375) & m1_subset_1(375,k4_ordinal1) )).
fof(spc376_boole,axiom,( ~ v1_xboole_0(376) )).
fof(spc376_numerals,axiom,( v2_xxreal_0(376) & m1_subset_1(376,k4_ordinal1) )).
fof(spc377_boole,axiom,( ~ v1_xboole_0(377) )).
fof(spc377_numerals,axiom,( v2_xxreal_0(377) & m1_subset_1(377,k4_ordinal1) )).
fof(spc378_boole,axiom,( ~ v1_xboole_0(378) )).
fof(spc378_numerals,axiom,( v2_xxreal_0(378) & m1_subset_1(378,k4_ordinal1) )).
fof(spc379_boole,axiom,( ~ v1_xboole_0(379) )).
fof(spc379_numerals,axiom,( v2_xxreal_0(379) & m1_subset_1(379,k4_ordinal1) )).
fof(spc37_boole,axiom,( ~ v1_xboole_0(37) )).
fof(spc37_numerals,axiom,( v2_xxreal_0(37) & m1_subset_1(37,k4_ordinal1) )).
fof(spc380_boole,axiom,( ~ v1_xboole_0(380) )).
fof(spc380_numerals,axiom,( v2_xxreal_0(380) & m1_subset_1(380,k4_ordinal1) )).
fof(spc381_boole,axiom,( ~ v1_xboole_0(381) )).
fof(spc381_numerals,axiom,( v2_xxreal_0(381) & m1_subset_1(381,k4_ordinal1) )).
fof(spc382_boole,axiom,( ~ v1_xboole_0(382) )).
fof(spc382_numerals,axiom,( v2_xxreal_0(382) & m1_subset_1(382,k4_ordinal1) )).
fof(spc383_boole,axiom,( ~ v1_xboole_0(383) )).
fof(spc383_numerals,axiom,( v2_xxreal_0(383) & m1_subset_1(383,k4_ordinal1) )).
fof(spc384_boole,axiom,( ~ v1_xboole_0(384) )).
fof(spc384_numerals,axiom,( v2_xxreal_0(384) & m1_subset_1(384,k4_ordinal1) )).
fof(spc385_boole,axiom,( ~ v1_xboole_0(385) )).
fof(spc385_numerals,axiom,( v2_xxreal_0(385) & m1_subset_1(385,k4_ordinal1) )).
fof(spc386_boole,axiom,( ~ v1_xboole_0(386) )).
fof(spc386_numerals,axiom,( v2_xxreal_0(386) & m1_subset_1(386,k4_ordinal1) )).
fof(spc388_boole,axiom,( ~ v1_xboole_0(388) )).
fof(spc388_numerals,axiom,( v2_xxreal_0(388) & m1_subset_1(388,k4_ordinal1) )).
fof(spc389_boole,axiom,( ~ v1_xboole_0(389) )).
fof(spc389_numerals,axiom,( v2_xxreal_0(389) & m1_subset_1(389,k4_ordinal1) )).
fof(spc38_boole,axiom,( ~ v1_xboole_0(38) )).
fof(spc38_numerals,axiom,( v2_xxreal_0(38) & m1_subset_1(38,k4_ordinal1) )).
fof(spc390_boole,axiom,( ~ v1_xboole_0(390) )).
fof(spc390_numerals,axiom,( v2_xxreal_0(390) & m1_subset_1(390,k4_ordinal1) )).
fof(spc391_boole,axiom,( ~ v1_xboole_0(391) )).
fof(spc391_numerals,axiom,( v2_xxreal_0(391) & m1_subset_1(391,k4_ordinal1) )).
fof(spc392_boole,axiom,( ~ v1_xboole_0(392) )).
fof(spc392_numerals,axiom,( v2_xxreal_0(392) & m1_subset_1(392,k4_ordinal1) )).
fof(spc393_boole,axiom,( ~ v1_xboole_0(393) )).
fof(spc393_numerals,axiom,( v2_xxreal_0(393) & m1_subset_1(393,k4_ordinal1) )).
fof(spc394_boole,axiom,( ~ v1_xboole_0(394) )).
fof(spc394_numerals,axiom,( v2_xxreal_0(394) & m1_subset_1(394,k4_ordinal1) )).
fof(spc396_boole,axiom,( ~ v1_xboole_0(396) )).
fof(spc396_numerals,axiom,( v2_xxreal_0(396) & m1_subset_1(396,k4_ordinal1) )).
fof(spc397_boole,axiom,( ~ v1_xboole_0(397) )).
fof(spc397_numerals,axiom,( v2_xxreal_0(397) & m1_subset_1(397,k4_ordinal1) )).
fof(spc398_boole,axiom,( ~ v1_xboole_0(398) )).
fof(spc398_numerals,axiom,( v2_xxreal_0(398) & m1_subset_1(398,k4_ordinal1) )).
fof(spc399_boole,axiom,( ~ v1_xboole_0(399) )).
fof(spc399_numerals,axiom,( v2_xxreal_0(399) & m1_subset_1(399,k4_ordinal1) )).
fof(spc39_boole,axiom,( ~ v1_xboole_0(39) )).
fof(spc39_numerals,axiom,( v2_xxreal_0(39) & m1_subset_1(39,k4_ordinal1) )).
fof(spc3_arithm,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_xcmplx_0(1,A) = k5_xcmplx_0(A) ) )).
fof(spc3_boole,axiom,( ~ v1_xboole_0(3) )).
fof(spc3_numerals,axiom,( v2_xxreal_0(3) & m1_subset_1(3,k4_ordinal1) )).
fof(spc400_boole,axiom,( ~ v1_xboole_0(400) )).
fof(spc400_numerals,axiom,( v2_xxreal_0(400) & m1_subset_1(400,k4_ordinal1) )).
fof(spc401_boole,axiom,( ~ v1_xboole_0(401) )).
fof(spc401_numerals,axiom,( v2_xxreal_0(401) & m1_subset_1(401,k4_ordinal1) )).
fof(spc402_boole,axiom,( ~ v1_xboole_0(402) )).
fof(spc402_numerals,axiom,( v2_xxreal_0(402) & m1_subset_1(402,k4_ordinal1) )).
fof(spc403_boole,axiom,( ~ v1_xboole_0(403) )).
fof(spc403_numerals,axiom,( v2_xxreal_0(403) & m1_subset_1(403,k4_ordinal1) )).
fof(spc404_boole,axiom,( ~ v1_xboole_0(404) )).
fof(spc404_numerals,axiom,( v2_xxreal_0(404) & m1_subset_1(404,k4_ordinal1) )).
fof(spc405_boole,axiom,( ~ v1_xboole_0(405) )).
fof(spc405_numerals,axiom,( v2_xxreal_0(405) & m1_subset_1(405,k4_ordinal1) )).
fof(spc406_boole,axiom,( ~ v1_xboole_0(406) )).
fof(spc406_numerals,axiom,( v2_xxreal_0(406) & m1_subset_1(406,k4_ordinal1) )).
fof(spc408_boole,axiom,( ~ v1_xboole_0(408) )).
fof(spc408_numerals,axiom,( v2_xxreal_0(408) & m1_subset_1(408,k4_ordinal1) )).
fof(spc409_boole,axiom,( ~ v1_xboole_0(409) )).
fof(spc409_numerals,axiom,( v2_xxreal_0(409) & m1_subset_1(409,k4_ordinal1) )).
fof(spc40_boole,axiom,( ~ v1_xboole_0(40) )).
fof(spc40_numerals,axiom,( v2_xxreal_0(40) & m1_subset_1(40,k4_ordinal1) )).
fof(spc410_boole,axiom,( ~ v1_xboole_0(410) )).
fof(spc410_numerals,axiom,( v2_xxreal_0(410) & m1_subset_1(410,k4_ordinal1) )).
fof(spc411_boole,axiom,( ~ v1_xboole_0(411) )).
fof(spc411_numerals,axiom,( v2_xxreal_0(411) & m1_subset_1(411,k4_ordinal1) )).
fof(spc412_boole,axiom,( ~ v1_xboole_0(412) )).
fof(spc412_numerals,axiom,( v2_xxreal_0(412) & m1_subset_1(412,k4_ordinal1) )).
fof(spc413_boole,axiom,( ~ v1_xboole_0(413) )).
fof(spc413_numerals,axiom,( v2_xxreal_0(413) & m1_subset_1(413,k4_ordinal1) )).
fof(spc414_boole,axiom,( ~ v1_xboole_0(414) )).
fof(spc414_numerals,axiom,( v2_xxreal_0(414) & m1_subset_1(414,k4_ordinal1) )).
fof(spc415_boole,axiom,( ~ v1_xboole_0(415) )).
fof(spc415_numerals,axiom,( v2_xxreal_0(415) & m1_subset_1(415,k4_ordinal1) )).
fof(spc416_boole,axiom,( ~ v1_xboole_0(416) )).
fof(spc416_numerals,axiom,( v2_xxreal_0(416) & m1_subset_1(416,k4_ordinal1) )).
fof(spc417_boole,axiom,( ~ v1_xboole_0(417) )).
fof(spc417_numerals,axiom,( v2_xxreal_0(417) & m1_subset_1(417,k4_ordinal1) )).
fof(spc418_boole,axiom,( ~ v1_xboole_0(418) )).
fof(spc418_numerals,axiom,( v2_xxreal_0(418) & m1_subset_1(418,k4_ordinal1) )).
fof(spc419_boole,axiom,( ~ v1_xboole_0(419) )).
fof(spc419_numerals,axiom,( v2_xxreal_0(419) & m1_subset_1(419,k4_ordinal1) )).
fof(spc41_boole,axiom,( ~ v1_xboole_0(41) )).
fof(spc41_numerals,axiom,( v2_xxreal_0(41) & m1_subset_1(41,k4_ordinal1) )).
fof(spc420_boole,axiom,( ~ v1_xboole_0(420) )).
fof(spc420_numerals,axiom,( v2_xxreal_0(420) & m1_subset_1(420,k4_ordinal1) )).
fof(spc421_boole,axiom,( ~ v1_xboole_0(421) )).
fof(spc421_numerals,axiom,( v2_xxreal_0(421) & m1_subset_1(421,k4_ordinal1) )).
fof(spc422_boole,axiom,( ~ v1_xboole_0(422) )).
fof(spc422_numerals,axiom,( v2_xxreal_0(422) & m1_subset_1(422,k4_ordinal1) )).
fof(spc423_boole,axiom,( ~ v1_xboole_0(423) )).
fof(spc423_numerals,axiom,( v2_xxreal_0(423) & m1_subset_1(423,k4_ordinal1) )).
fof(spc424_boole,axiom,( ~ v1_xboole_0(424) )).
fof(spc424_numerals,axiom,( v2_xxreal_0(424) & m1_subset_1(424,k4_ordinal1) )).
fof(spc425_boole,axiom,( ~ v1_xboole_0(425) )).
fof(spc425_numerals,axiom,( v2_xxreal_0(425) & m1_subset_1(425,k4_ordinal1) )).
fof(spc426_boole,axiom,( ~ v1_xboole_0(426) )).
fof(spc426_numerals,axiom,( v2_xxreal_0(426) & m1_subset_1(426,k4_ordinal1) )).
fof(spc427_boole,axiom,( ~ v1_xboole_0(427) )).
fof(spc427_numerals,axiom,( v2_xxreal_0(427) & m1_subset_1(427,k4_ordinal1) )).
fof(spc429_boole,axiom,( ~ v1_xboole_0(429) )).
fof(spc429_numerals,axiom,( v2_xxreal_0(429) & m1_subset_1(429,k4_ordinal1) )).
fof(spc42_boole,axiom,( ~ v1_xboole_0(42) )).
fof(spc42_numerals,axiom,( v2_xxreal_0(42) & m1_subset_1(42,k4_ordinal1) )).
fof(spc430_boole,axiom,( ~ v1_xboole_0(430) )).
fof(spc430_numerals,axiom,( v2_xxreal_0(430) & m1_subset_1(430,k4_ordinal1) )).
fof(spc431_boole,axiom,( ~ v1_xboole_0(431) )).
fof(spc431_numerals,axiom,( v2_xxreal_0(431) & m1_subset_1(431,k4_ordinal1) )).
fof(spc432_boole,axiom,( ~ v1_xboole_0(432) )).
fof(spc432_numerals,axiom,( v2_xxreal_0(432) & m1_subset_1(432,k4_ordinal1) )).
fof(spc434_boole,axiom,( ~ v1_xboole_0(434) )).
fof(spc434_numerals,axiom,( v2_xxreal_0(434) & m1_subset_1(434,k4_ordinal1) )).
fof(spc436_boole,axiom,( ~ v1_xboole_0(436) )).
fof(spc436_numerals,axiom,( v2_xxreal_0(436) & m1_subset_1(436,k4_ordinal1) )).
fof(spc437_boole,axiom,( ~ v1_xboole_0(437) )).
fof(spc437_numerals,axiom,( v2_xxreal_0(437) & m1_subset_1(437,k4_ordinal1) )).
fof(spc439_boole,axiom,( ~ v1_xboole_0(439) )).
fof(spc439_numerals,axiom,( v2_xxreal_0(439) & m1_subset_1(439,k4_ordinal1) )).
fof(spc43_boole,axiom,( ~ v1_xboole_0(43) )).
fof(spc43_numerals,axiom,( v2_xxreal_0(43) & m1_subset_1(43,k4_ordinal1) )).
fof(spc440_boole,axiom,( ~ v1_xboole_0(440) )).
fof(spc440_numerals,axiom,( v2_xxreal_0(440) & m1_subset_1(440,k4_ordinal1) )).
fof(spc441_boole,axiom,( ~ v1_xboole_0(441) )).
fof(spc441_numerals,axiom,( v2_xxreal_0(441) & m1_subset_1(441,k4_ordinal1) )).
fof(spc442_boole,axiom,( ~ v1_xboole_0(442) )).
fof(spc442_numerals,axiom,( v2_xxreal_0(442) & m1_subset_1(442,k4_ordinal1) )).
fof(spc443_boole,axiom,( ~ v1_xboole_0(443) )).
fof(spc443_numerals,axiom,( v2_xxreal_0(443) & m1_subset_1(443,k4_ordinal1) )).
fof(spc444_boole,axiom,( ~ v1_xboole_0(444) )).
fof(spc444_numerals,axiom,( v2_xxreal_0(444) & m1_subset_1(444,k4_ordinal1) )).
fof(spc445_boole,axiom,( ~ v1_xboole_0(445) )).
fof(spc445_numerals,axiom,( v2_xxreal_0(445) & m1_subset_1(445,k4_ordinal1) )).
fof(spc446_boole,axiom,( ~ v1_xboole_0(446) )).
fof(spc446_numerals,axiom,( v2_xxreal_0(446) & m1_subset_1(446,k4_ordinal1) )).
fof(spc447_boole,axiom,( ~ v1_xboole_0(447) )).
fof(spc447_numerals,axiom,( v2_xxreal_0(447) & m1_subset_1(447,k4_ordinal1) )).
fof(spc448_boole,axiom,( ~ v1_xboole_0(448) )).
fof(spc448_numerals,axiom,( v2_xxreal_0(448) & m1_subset_1(448,k4_ordinal1) )).
fof(spc449_boole,axiom,( ~ v1_xboole_0(449) )).
fof(spc449_numerals,axiom,( v2_xxreal_0(449) & m1_subset_1(449,k4_ordinal1) )).
fof(spc44_boole,axiom,( ~ v1_xboole_0(44) )).
fof(spc44_numerals,axiom,( v2_xxreal_0(44) & m1_subset_1(44,k4_ordinal1) )).
fof(spc450_boole,axiom,( ~ v1_xboole_0(450) )).
fof(spc450_numerals,axiom,( v2_xxreal_0(450) & m1_subset_1(450,k4_ordinal1) )).
fof(spc451_boole,axiom,( ~ v1_xboole_0(451) )).
fof(spc451_numerals,axiom,( v2_xxreal_0(451) & m1_subset_1(451,k4_ordinal1) )).
fof(spc452_boole,axiom,( ~ v1_xboole_0(452) )).
fof(spc452_numerals,axiom,( v2_xxreal_0(452) & m1_subset_1(452,k4_ordinal1) )).
fof(spc453_boole,axiom,( ~ v1_xboole_0(453) )).
fof(spc453_numerals,axiom,( v2_xxreal_0(453) & m1_subset_1(453,k4_ordinal1) )).
fof(spc454_boole,axiom,( ~ v1_xboole_0(454) )).
fof(spc454_numerals,axiom,( v2_xxreal_0(454) & m1_subset_1(454,k4_ordinal1) )).
fof(spc455_boole,axiom,( ~ v1_xboole_0(455) )).
fof(spc455_numerals,axiom,( v2_xxreal_0(455) & m1_subset_1(455,k4_ordinal1) )).
fof(spc456_boole,axiom,( ~ v1_xboole_0(456) )).
fof(spc456_numerals,axiom,( v2_xxreal_0(456) & m1_subset_1(456,k4_ordinal1) )).
fof(spc457_boole,axiom,( ~ v1_xboole_0(457) )).
fof(spc457_numerals,axiom,( v2_xxreal_0(457) & m1_subset_1(457,k4_ordinal1) )).
fof(spc458_boole,axiom,( ~ v1_xboole_0(458) )).
fof(spc458_numerals,axiom,( v2_xxreal_0(458) & m1_subset_1(458,k4_ordinal1) )).
fof(spc459_boole,axiom,( ~ v1_xboole_0(459) )).
fof(spc459_numerals,axiom,( v2_xxreal_0(459) & m1_subset_1(459,k4_ordinal1) )).
fof(spc45_boole,axiom,( ~ v1_xboole_0(45) )).
fof(spc45_numerals,axiom,( v2_xxreal_0(45) & m1_subset_1(45,k4_ordinal1) )).
fof(spc462_boole,axiom,( ~ v1_xboole_0(462) )).
fof(spc462_numerals,axiom,( v2_xxreal_0(462) & m1_subset_1(462,k4_ordinal1) )).
fof(spc463_boole,axiom,( ~ v1_xboole_0(463) )).
fof(spc463_numerals,axiom,( v2_xxreal_0(463) & m1_subset_1(463,k4_ordinal1) )).
fof(spc464_boole,axiom,( ~ v1_xboole_0(464) )).
fof(spc464_numerals,axiom,( v2_xxreal_0(464) & m1_subset_1(464,k4_ordinal1) )).
fof(spc465_boole,axiom,( ~ v1_xboole_0(465) )).
fof(spc465_numerals,axiom,( v2_xxreal_0(465) & m1_subset_1(465,k4_ordinal1) )).
fof(spc467_boole,axiom,( ~ v1_xboole_0(467) )).
fof(spc467_numerals,axiom,( v2_xxreal_0(467) & m1_subset_1(467,k4_ordinal1) )).
fof(spc46_boole,axiom,( ~ v1_xboole_0(46) )).
fof(spc46_numerals,axiom,( v2_xxreal_0(46) & m1_subset_1(46,k4_ordinal1) )).
fof(spc470_boole,axiom,( ~ v1_xboole_0(470) )).
fof(spc470_numerals,axiom,( v2_xxreal_0(470) & m1_subset_1(470,k4_ordinal1) )).
fof(spc471_boole,axiom,( ~ v1_xboole_0(471) )).
fof(spc471_numerals,axiom,( v2_xxreal_0(471) & m1_subset_1(471,k4_ordinal1) )).
fof(spc472_boole,axiom,( ~ v1_xboole_0(472) )).
fof(spc472_numerals,axiom,( v2_xxreal_0(472) & m1_subset_1(472,k4_ordinal1) )).
fof(spc473_boole,axiom,( ~ v1_xboole_0(473) )).
fof(spc473_numerals,axiom,( v2_xxreal_0(473) & m1_subset_1(473,k4_ordinal1) )).
fof(spc474_boole,axiom,( ~ v1_xboole_0(474) )).
fof(spc474_numerals,axiom,( v2_xxreal_0(474) & m1_subset_1(474,k4_ordinal1) )).
fof(spc475_boole,axiom,( ~ v1_xboole_0(475) )).
fof(spc475_numerals,axiom,( v2_xxreal_0(475) & m1_subset_1(475,k4_ordinal1) )).
fof(spc477_boole,axiom,( ~ v1_xboole_0(477) )).
fof(spc477_numerals,axiom,( v2_xxreal_0(477) & m1_subset_1(477,k4_ordinal1) )).
fof(spc479_boole,axiom,( ~ v1_xboole_0(479) )).
fof(spc479_numerals,axiom,( v2_xxreal_0(479) & m1_subset_1(479,k4_ordinal1) )).
fof(spc47_boole,axiom,( ~ v1_xboole_0(47) )).
fof(spc47_numerals,axiom,( v2_xxreal_0(47) & m1_subset_1(47,k4_ordinal1) )).
fof(spc480_boole,axiom,( ~ v1_xboole_0(480) )).
fof(spc480_numerals,axiom,( v2_xxreal_0(480) & m1_subset_1(480,k4_ordinal1) )).
fof(spc481_boole,axiom,( ~ v1_xboole_0(481) )).
fof(spc481_numerals,axiom,( v2_xxreal_0(481) & m1_subset_1(481,k4_ordinal1) )).
fof(spc482_boole,axiom,( ~ v1_xboole_0(482) )).
fof(spc482_numerals,axiom,( v2_xxreal_0(482) & m1_subset_1(482,k4_ordinal1) )).
fof(spc483_boole,axiom,( ~ v1_xboole_0(483) )).
fof(spc483_numerals,axiom,( v2_xxreal_0(483) & m1_subset_1(483,k4_ordinal1) )).
fof(spc484_boole,axiom,( ~ v1_xboole_0(484) )).
fof(spc484_numerals,axiom,( v2_xxreal_0(484) & m1_subset_1(484,k4_ordinal1) )).
fof(spc485_boole,axiom,( ~ v1_xboole_0(485) )).
fof(spc485_numerals,axiom,( v2_xxreal_0(485) & m1_subset_1(485,k4_ordinal1) )).
fof(spc486_boole,axiom,( ~ v1_xboole_0(486) )).
fof(spc486_numerals,axiom,( v2_xxreal_0(486) & m1_subset_1(486,k4_ordinal1) )).
fof(spc487_boole,axiom,( ~ v1_xboole_0(487) )).
fof(spc487_numerals,axiom,( v2_xxreal_0(487) & m1_subset_1(487,k4_ordinal1) )).
fof(spc488_boole,axiom,( ~ v1_xboole_0(488) )).
fof(spc488_numerals,axiom,( v2_xxreal_0(488) & m1_subset_1(488,k4_ordinal1) )).
fof(spc489_boole,axiom,( ~ v1_xboole_0(489) )).
fof(spc489_numerals,axiom,( v2_xxreal_0(489) & m1_subset_1(489,k4_ordinal1) )).
fof(spc48_boole,axiom,( ~ v1_xboole_0(48) )).
fof(spc48_numerals,axiom,( v2_xxreal_0(48) & m1_subset_1(48,k4_ordinal1) )).
fof(spc490_boole,axiom,( ~ v1_xboole_0(490) )).
fof(spc490_numerals,axiom,( v2_xxreal_0(490) & m1_subset_1(490,k4_ordinal1) )).
fof(spc491_boole,axiom,( ~ v1_xboole_0(491) )).
fof(spc491_numerals,axiom,( v2_xxreal_0(491) & m1_subset_1(491,k4_ordinal1) )).
fof(spc492_boole,axiom,( ~ v1_xboole_0(492) )).
fof(spc492_numerals,axiom,( v2_xxreal_0(492) & m1_subset_1(492,k4_ordinal1) )).
fof(spc493_boole,axiom,( ~ v1_xboole_0(493) )).
fof(spc493_numerals,axiom,( v2_xxreal_0(493) & m1_subset_1(493,k4_ordinal1) )).
fof(spc494_boole,axiom,( ~ v1_xboole_0(494) )).
fof(spc494_numerals,axiom,( v2_xxreal_0(494) & m1_subset_1(494,k4_ordinal1) )).
fof(spc495_boole,axiom,( ~ v1_xboole_0(495) )).
fof(spc495_numerals,axiom,( v2_xxreal_0(495) & m1_subset_1(495,k4_ordinal1) )).
fof(spc496_boole,axiom,( ~ v1_xboole_0(496) )).
fof(spc496_numerals,axiom,( v2_xxreal_0(496) & m1_subset_1(496,k4_ordinal1) )).
fof(spc497_boole,axiom,( ~ v1_xboole_0(497) )).
fof(spc497_numerals,axiom,( v2_xxreal_0(497) & m1_subset_1(497,k4_ordinal1) )).
fof(spc498_boole,axiom,( ~ v1_xboole_0(498) )).
fof(spc498_numerals,axiom,( v2_xxreal_0(498) & m1_subset_1(498,k4_ordinal1) )).
fof(spc499_boole,axiom,( ~ v1_xboole_0(499) )).
fof(spc499_numerals,axiom,( v2_xxreal_0(499) & m1_subset_1(499,k4_ordinal1) )).
fof(spc49_boole,axiom,( ~ v1_xboole_0(49) )).
fof(spc49_numerals,axiom,( v2_xxreal_0(49) & m1_subset_1(49,k4_ordinal1) )).
fof(spc4_arithm,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => k3_xcmplx_0(A,k7_xcmplx_0(B,C)) = k7_xcmplx_0(k3_xcmplx_0(A,B),C) ) )).
fof(spc4_boole,axiom,( ~ v1_xboole_0(4) )).
fof(spc4_numerals,axiom,( v2_xxreal_0(4) & m1_subset_1(4,k4_ordinal1) )).
fof(spc500_boole,axiom,( ~ v1_xboole_0(500) )).
fof(spc500_numerals,axiom,( v2_xxreal_0(500) & m1_subset_1(500,k4_ordinal1) )).
fof(spc501_boole,axiom,( ~ v1_xboole_0(501) )).
fof(spc501_numerals,axiom,( v2_xxreal_0(501) & m1_subset_1(501,k4_ordinal1) )).
fof(spc502_boole,axiom,( ~ v1_xboole_0(502) )).
fof(spc502_numerals,axiom,( v2_xxreal_0(502) & m1_subset_1(502,k4_ordinal1) )).
fof(spc503_boole,axiom,( ~ v1_xboole_0(503) )).
fof(spc503_numerals,axiom,( v2_xxreal_0(503) & m1_subset_1(503,k4_ordinal1) )).
fof(spc504_boole,axiom,( ~ v1_xboole_0(504) )).
fof(spc504_numerals,axiom,( v2_xxreal_0(504) & m1_subset_1(504,k4_ordinal1) )).
fof(spc505_boole,axiom,( ~ v1_xboole_0(505) )).
fof(spc505_numerals,axiom,( v2_xxreal_0(505) & m1_subset_1(505,k4_ordinal1) )).
fof(spc507_boole,axiom,( ~ v1_xboole_0(507) )).
fof(spc507_numerals,axiom,( v2_xxreal_0(507) & m1_subset_1(507,k4_ordinal1) )).
fof(spc508_boole,axiom,( ~ v1_xboole_0(508) )).
fof(spc508_numerals,axiom,( v2_xxreal_0(508) & m1_subset_1(508,k4_ordinal1) )).
fof(spc509_boole,axiom,( ~ v1_xboole_0(509) )).
fof(spc509_numerals,axiom,( v2_xxreal_0(509) & m1_subset_1(509,k4_ordinal1) )).
fof(spc50_boole,axiom,( ~ v1_xboole_0(50) )).
fof(spc50_numerals,axiom,( v2_xxreal_0(50) & m1_subset_1(50,k4_ordinal1) )).
fof(spc510_boole,axiom,( ~ v1_xboole_0(510) )).
fof(spc510_numerals,axiom,( v2_xxreal_0(510) & m1_subset_1(510,k4_ordinal1) )).
fof(spc511_boole,axiom,( ~ v1_xboole_0(511) )).
fof(spc511_numerals,axiom,( v2_xxreal_0(511) & m1_subset_1(511,k4_ordinal1) )).
fof(spc512_boole,axiom,( ~ v1_xboole_0(512) )).
fof(spc512_numerals,axiom,( v2_xxreal_0(512) & m1_subset_1(512,k4_ordinal1) )).
fof(spc513_boole,axiom,( ~ v1_xboole_0(513) )).
fof(spc513_numerals,axiom,( v2_xxreal_0(513) & m1_subset_1(513,k4_ordinal1) )).
fof(spc514_boole,axiom,( ~ v1_xboole_0(514) )).
fof(spc514_numerals,axiom,( v2_xxreal_0(514) & m1_subset_1(514,k4_ordinal1) )).
fof(spc515_boole,axiom,( ~ v1_xboole_0(515) )).
fof(spc515_numerals,axiom,( v2_xxreal_0(515) & m1_subset_1(515,k4_ordinal1) )).
fof(spc516_boole,axiom,( ~ v1_xboole_0(516) )).
fof(spc516_numerals,axiom,( v2_xxreal_0(516) & m1_subset_1(516,k4_ordinal1) )).
fof(spc517_boole,axiom,( ~ v1_xboole_0(517) )).
fof(spc517_numerals,axiom,( v2_xxreal_0(517) & m1_subset_1(517,k4_ordinal1) )).
fof(spc518_boole,axiom,( ~ v1_xboole_0(518) )).
fof(spc518_numerals,axiom,( v2_xxreal_0(518) & m1_subset_1(518,k4_ordinal1) )).
fof(spc519_boole,axiom,( ~ v1_xboole_0(519) )).
fof(spc519_numerals,axiom,( v2_xxreal_0(519) & m1_subset_1(519,k4_ordinal1) )).
fof(spc51_boole,axiom,( ~ v1_xboole_0(51) )).
fof(spc51_numerals,axiom,( v2_xxreal_0(51) & m1_subset_1(51,k4_ordinal1) )).
fof(spc520_boole,axiom,( ~ v1_xboole_0(520) )).
fof(spc520_numerals,axiom,( v2_xxreal_0(520) & m1_subset_1(520,k4_ordinal1) )).
fof(spc521_boole,axiom,( ~ v1_xboole_0(521) )).
fof(spc521_numerals,axiom,( v2_xxreal_0(521) & m1_subset_1(521,k4_ordinal1) )).
fof(spc522_boole,axiom,( ~ v1_xboole_0(522) )).
fof(spc522_numerals,axiom,( v2_xxreal_0(522) & m1_subset_1(522,k4_ordinal1) )).
fof(spc524_boole,axiom,( ~ v1_xboole_0(524) )).
fof(spc524_numerals,axiom,( v2_xxreal_0(524) & m1_subset_1(524,k4_ordinal1) )).
fof(spc525_boole,axiom,( ~ v1_xboole_0(525) )).
fof(spc525_numerals,axiom,( v2_xxreal_0(525) & m1_subset_1(525,k4_ordinal1) )).
fof(spc526_boole,axiom,( ~ v1_xboole_0(526) )).
fof(spc526_numerals,axiom,( v2_xxreal_0(526) & m1_subset_1(526,k4_ordinal1) )).
fof(spc528_boole,axiom,( ~ v1_xboole_0(528) )).
fof(spc528_numerals,axiom,( v2_xxreal_0(528) & m1_subset_1(528,k4_ordinal1) )).
fof(spc52_boole,axiom,( ~ v1_xboole_0(52) )).
fof(spc52_numerals,axiom,( v2_xxreal_0(52) & m1_subset_1(52,k4_ordinal1) )).
fof(spc531_boole,axiom,( ~ v1_xboole_0(531) )).
fof(spc531_numerals,axiom,( v2_xxreal_0(531) & m1_subset_1(531,k4_ordinal1) )).
fof(spc532_boole,axiom,( ~ v1_xboole_0(532) )).
fof(spc532_numerals,axiom,( v2_xxreal_0(532) & m1_subset_1(532,k4_ordinal1) )).
fof(spc534_boole,axiom,( ~ v1_xboole_0(534) )).
fof(spc534_numerals,axiom,( v2_xxreal_0(534) & m1_subset_1(534,k4_ordinal1) )).
fof(spc536_boole,axiom,( ~ v1_xboole_0(536) )).
fof(spc536_numerals,axiom,( v2_xxreal_0(536) & m1_subset_1(536,k4_ordinal1) )).
fof(spc538_boole,axiom,( ~ v1_xboole_0(538) )).
fof(spc538_numerals,axiom,( v2_xxreal_0(538) & m1_subset_1(538,k4_ordinal1) )).
fof(spc539_boole,axiom,( ~ v1_xboole_0(539) )).
fof(spc539_numerals,axiom,( v2_xxreal_0(539) & m1_subset_1(539,k4_ordinal1) )).
fof(spc53_boole,axiom,( ~ v1_xboole_0(53) )).
fof(spc53_numerals,axiom,( v2_xxreal_0(53) & m1_subset_1(53,k4_ordinal1) )).
fof(spc540_boole,axiom,( ~ v1_xboole_0(540) )).
fof(spc540_numerals,axiom,( v2_xxreal_0(540) & m1_subset_1(540,k4_ordinal1) )).
fof(spc541_boole,axiom,( ~ v1_xboole_0(541) )).
fof(spc541_numerals,axiom,( v2_xxreal_0(541) & m1_subset_1(541,k4_ordinal1) )).
fof(spc544_boole,axiom,( ~ v1_xboole_0(544) )).
fof(spc544_numerals,axiom,( v2_xxreal_0(544) & m1_subset_1(544,k4_ordinal1) )).
fof(spc545_boole,axiom,( ~ v1_xboole_0(545) )).
fof(spc545_numerals,axiom,( v2_xxreal_0(545) & m1_subset_1(545,k4_ordinal1) )).
fof(spc546_boole,axiom,( ~ v1_xboole_0(546) )).
fof(spc546_numerals,axiom,( v2_xxreal_0(546) & m1_subset_1(546,k4_ordinal1) )).
fof(spc547_boole,axiom,( ~ v1_xboole_0(547) )).
fof(spc547_numerals,axiom,( v2_xxreal_0(547) & m1_subset_1(547,k4_ordinal1) )).
fof(spc548_boole,axiom,( ~ v1_xboole_0(548) )).
fof(spc548_numerals,axiom,( v2_xxreal_0(548) & m1_subset_1(548,k4_ordinal1) )).
fof(spc549_boole,axiom,( ~ v1_xboole_0(549) )).
fof(spc549_numerals,axiom,( v2_xxreal_0(549) & m1_subset_1(549,k4_ordinal1) )).
fof(spc54_boole,axiom,( ~ v1_xboole_0(54) )).
fof(spc54_numerals,axiom,( v2_xxreal_0(54) & m1_subset_1(54,k4_ordinal1) )).
fof(spc550_boole,axiom,( ~ v1_xboole_0(550) )).
fof(spc550_numerals,axiom,( v2_xxreal_0(550) & m1_subset_1(550,k4_ordinal1) )).
fof(spc551_boole,axiom,( ~ v1_xboole_0(551) )).
fof(spc551_numerals,axiom,( v2_xxreal_0(551) & m1_subset_1(551,k4_ordinal1) )).
fof(spc552_boole,axiom,( ~ v1_xboole_0(552) )).
fof(spc552_numerals,axiom,( v2_xxreal_0(552) & m1_subset_1(552,k4_ordinal1) )).
fof(spc553_boole,axiom,( ~ v1_xboole_0(553) )).
fof(spc553_numerals,axiom,( v2_xxreal_0(553) & m1_subset_1(553,k4_ordinal1) )).
fof(spc554_boole,axiom,( ~ v1_xboole_0(554) )).
fof(spc554_numerals,axiom,( v2_xxreal_0(554) & m1_subset_1(554,k4_ordinal1) )).
fof(spc556_boole,axiom,( ~ v1_xboole_0(556) )).
fof(spc556_numerals,axiom,( v2_xxreal_0(556) & m1_subset_1(556,k4_ordinal1) )).
fof(spc557_boole,axiom,( ~ v1_xboole_0(557) )).
fof(spc557_numerals,axiom,( v2_xxreal_0(557) & m1_subset_1(557,k4_ordinal1) )).
fof(spc558_boole,axiom,( ~ v1_xboole_0(558) )).
fof(spc558_numerals,axiom,( v2_xxreal_0(558) & m1_subset_1(558,k4_ordinal1) )).
fof(spc55_boole,axiom,( ~ v1_xboole_0(55) )).
fof(spc55_numerals,axiom,( v2_xxreal_0(55) & m1_subset_1(55,k4_ordinal1) )).
fof(spc560_boole,axiom,( ~ v1_xboole_0(560) )).
fof(spc560_numerals,axiom,( v2_xxreal_0(560) & m1_subset_1(560,k4_ordinal1) )).
fof(spc563_boole,axiom,( ~ v1_xboole_0(563) )).
fof(spc563_numerals,axiom,( v2_xxreal_0(563) & m1_subset_1(563,k4_ordinal1) )).
fof(spc564_boole,axiom,( ~ v1_xboole_0(564) )).
fof(spc564_numerals,axiom,( v2_xxreal_0(564) & m1_subset_1(564,k4_ordinal1) )).
fof(spc567_boole,axiom,( ~ v1_xboole_0(567) )).
fof(spc567_numerals,axiom,( v2_xxreal_0(567) & m1_subset_1(567,k4_ordinal1) )).
fof(spc568_boole,axiom,( ~ v1_xboole_0(568) )).
fof(spc568_numerals,axiom,( v2_xxreal_0(568) & m1_subset_1(568,k4_ordinal1) )).
fof(spc569_boole,axiom,( ~ v1_xboole_0(569) )).
fof(spc569_numerals,axiom,( v2_xxreal_0(569) & m1_subset_1(569,k4_ordinal1) )).
fof(spc56_boole,axiom,( ~ v1_xboole_0(56) )).
fof(spc56_numerals,axiom,( v2_xxreal_0(56) & m1_subset_1(56,k4_ordinal1) )).
fof(spc570_boole,axiom,( ~ v1_xboole_0(570) )).
fof(spc570_numerals,axiom,( v2_xxreal_0(570) & m1_subset_1(570,k4_ordinal1) )).
fof(spc572_boole,axiom,( ~ v1_xboole_0(572) )).
fof(spc572_numerals,axiom,( v2_xxreal_0(572) & m1_subset_1(572,k4_ordinal1) )).
fof(spc573_boole,axiom,( ~ v1_xboole_0(573) )).
fof(spc573_numerals,axiom,( v2_xxreal_0(573) & m1_subset_1(573,k4_ordinal1) )).
fof(spc575_boole,axiom,( ~ v1_xboole_0(575) )).
fof(spc575_numerals,axiom,( v2_xxreal_0(575) & m1_subset_1(575,k4_ordinal1) )).
fof(spc576_boole,axiom,( ~ v1_xboole_0(576) )).
fof(spc576_numerals,axiom,( v2_xxreal_0(576) & m1_subset_1(576,k4_ordinal1) )).
fof(spc577_boole,axiom,( ~ v1_xboole_0(577) )).
fof(spc577_numerals,axiom,( v2_xxreal_0(577) & m1_subset_1(577,k4_ordinal1) )).
fof(spc578_boole,axiom,( ~ v1_xboole_0(578) )).
fof(spc578_numerals,axiom,( v2_xxreal_0(578) & m1_subset_1(578,k4_ordinal1) )).
fof(spc57_boole,axiom,( ~ v1_xboole_0(57) )).
fof(spc57_numerals,axiom,( v2_xxreal_0(57) & m1_subset_1(57,k4_ordinal1) )).
fof(spc582_boole,axiom,( ~ v1_xboole_0(582) )).
fof(spc582_numerals,axiom,( v2_xxreal_0(582) & m1_subset_1(582,k4_ordinal1) )).
fof(spc583_boole,axiom,( ~ v1_xboole_0(583) )).
fof(spc583_numerals,axiom,( v2_xxreal_0(583) & m1_subset_1(583,k4_ordinal1) )).
fof(spc588_boole,axiom,( ~ v1_xboole_0(588) )).
fof(spc588_numerals,axiom,( v2_xxreal_0(588) & m1_subset_1(588,k4_ordinal1) )).
fof(spc589_boole,axiom,( ~ v1_xboole_0(589) )).
fof(spc589_numerals,axiom,( v2_xxreal_0(589) & m1_subset_1(589,k4_ordinal1) )).
fof(spc58_boole,axiom,( ~ v1_xboole_0(58) )).
fof(spc58_numerals,axiom,( v2_xxreal_0(58) & m1_subset_1(58,k4_ordinal1) )).
fof(spc590_boole,axiom,( ~ v1_xboole_0(590) )).
fof(spc590_numerals,axiom,( v2_xxreal_0(590) & m1_subset_1(590,k4_ordinal1) )).
fof(spc592_boole,axiom,( ~ v1_xboole_0(592) )).
fof(spc592_numerals,axiom,( v2_xxreal_0(592) & m1_subset_1(592,k4_ordinal1) )).
fof(spc594_boole,axiom,( ~ v1_xboole_0(594) )).
fof(spc594_numerals,axiom,( v2_xxreal_0(594) & m1_subset_1(594,k4_ordinal1) )).
fof(spc596_boole,axiom,( ~ v1_xboole_0(596) )).
fof(spc596_numerals,axiom,( v2_xxreal_0(596) & m1_subset_1(596,k4_ordinal1) )).
fof(spc597_boole,axiom,( ~ v1_xboole_0(597) )).
fof(spc597_numerals,axiom,( v2_xxreal_0(597) & m1_subset_1(597,k4_ordinal1) )).
fof(spc598_boole,axiom,( ~ v1_xboole_0(598) )).
fof(spc598_numerals,axiom,( v2_xxreal_0(598) & m1_subset_1(598,k4_ordinal1) )).
fof(spc599_boole,axiom,( ~ v1_xboole_0(599) )).
fof(spc599_numerals,axiom,( v2_xxreal_0(599) & m1_subset_1(599,k4_ordinal1) )).
fof(spc59_boole,axiom,( ~ v1_xboole_0(59) )).
fof(spc59_numerals,axiom,( v2_xxreal_0(59) & m1_subset_1(59,k4_ordinal1) )).
fof(spc5_arithm,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => k3_xcmplx_0(k2_xcmplx_0(A,B),C) = k2_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)) ) )).
fof(spc5_boole,axiom,( ~ v1_xboole_0(5) )).
fof(spc5_numerals,axiom,( v2_xxreal_0(5) & m1_subset_1(5,k4_ordinal1) )).
fof(spc600_boole,axiom,( ~ v1_xboole_0(600) )).
fof(spc600_numerals,axiom,( v2_xxreal_0(600) & m1_subset_1(600,k4_ordinal1) )).
fof(spc601_boole,axiom,( ~ v1_xboole_0(601) )).
fof(spc601_numerals,axiom,( v2_xxreal_0(601) & m1_subset_1(601,k4_ordinal1) )).
fof(spc602_boole,axiom,( ~ v1_xboole_0(602) )).
fof(spc602_numerals,axiom,( v2_xxreal_0(602) & m1_subset_1(602,k4_ordinal1) )).
fof(spc604_boole,axiom,( ~ v1_xboole_0(604) )).
fof(spc604_numerals,axiom,( v2_xxreal_0(604) & m1_subset_1(604,k4_ordinal1) )).
fof(spc605_boole,axiom,( ~ v1_xboole_0(605) )).
fof(spc605_numerals,axiom,( v2_xxreal_0(605) & m1_subset_1(605,k4_ordinal1) )).
fof(spc606_boole,axiom,( ~ v1_xboole_0(606) )).
fof(spc606_numerals,axiom,( v2_xxreal_0(606) & m1_subset_1(606,k4_ordinal1) )).
fof(spc607_boole,axiom,( ~ v1_xboole_0(607) )).
fof(spc607_numerals,axiom,( v2_xxreal_0(607) & m1_subset_1(607,k4_ordinal1) )).
fof(spc608_boole,axiom,( ~ v1_xboole_0(608) )).
fof(spc608_numerals,axiom,( v2_xxreal_0(608) & m1_subset_1(608,k4_ordinal1) )).
fof(spc609_boole,axiom,( ~ v1_xboole_0(609) )).
fof(spc609_numerals,axiom,( v2_xxreal_0(609) & m1_subset_1(609,k4_ordinal1) )).
fof(spc60_boole,axiom,( ~ v1_xboole_0(60) )).
fof(spc60_numerals,axiom,( v2_xxreal_0(60) & m1_subset_1(60,k4_ordinal1) )).
fof(spc613_boole,axiom,( ~ v1_xboole_0(613) )).
fof(spc613_numerals,axiom,( v2_xxreal_0(613) & m1_subset_1(613,k4_ordinal1) )).
fof(spc615_boole,axiom,( ~ v1_xboole_0(615) )).
fof(spc615_numerals,axiom,( v2_xxreal_0(615) & m1_subset_1(615,k4_ordinal1) )).
fof(spc616_boole,axiom,( ~ v1_xboole_0(616) )).
fof(spc616_numerals,axiom,( v2_xxreal_0(616) & m1_subset_1(616,k4_ordinal1) )).
fof(spc618_boole,axiom,( ~ v1_xboole_0(618) )).
fof(spc618_numerals,axiom,( v2_xxreal_0(618) & m1_subset_1(618,k4_ordinal1) )).
fof(spc619_boole,axiom,( ~ v1_xboole_0(619) )).
fof(spc619_numerals,axiom,( v2_xxreal_0(619) & m1_subset_1(619,k4_ordinal1) )).
fof(spc61_boole,axiom,( ~ v1_xboole_0(61) )).
fof(spc61_numerals,axiom,( v2_xxreal_0(61) & m1_subset_1(61,k4_ordinal1) )).
fof(spc620_boole,axiom,( ~ v1_xboole_0(620) )).
fof(spc620_numerals,axiom,( v2_xxreal_0(620) & m1_subset_1(620,k4_ordinal1) )).
fof(spc621_boole,axiom,( ~ v1_xboole_0(621) )).
fof(spc621_numerals,axiom,( v2_xxreal_0(621) & m1_subset_1(621,k4_ordinal1) )).
fof(spc622_boole,axiom,( ~ v1_xboole_0(622) )).
fof(spc622_numerals,axiom,( v2_xxreal_0(622) & m1_subset_1(622,k4_ordinal1) )).
fof(spc624_boole,axiom,( ~ v1_xboole_0(624) )).
fof(spc624_numerals,axiom,( v2_xxreal_0(624) & m1_subset_1(624,k4_ordinal1) )).
fof(spc625_boole,axiom,( ~ v1_xboole_0(625) )).
fof(spc625_numerals,axiom,( v2_xxreal_0(625) & m1_subset_1(625,k4_ordinal1) )).
fof(spc627_boole,axiom,( ~ v1_xboole_0(627) )).
fof(spc627_numerals,axiom,( v2_xxreal_0(627) & m1_subset_1(627,k4_ordinal1) )).
fof(spc628_boole,axiom,( ~ v1_xboole_0(628) )).
fof(spc628_numerals,axiom,( v2_xxreal_0(628) & m1_subset_1(628,k4_ordinal1) )).
fof(spc629_boole,axiom,( ~ v1_xboole_0(629) )).
fof(spc629_numerals,axiom,( v2_xxreal_0(629) & m1_subset_1(629,k4_ordinal1) )).
fof(spc62_boole,axiom,( ~ v1_xboole_0(62) )).
fof(spc62_numerals,axiom,( v2_xxreal_0(62) & m1_subset_1(62,k4_ordinal1) )).
fof(spc630_boole,axiom,( ~ v1_xboole_0(630) )).
fof(spc630_numerals,axiom,( v2_xxreal_0(630) & m1_subset_1(630,k4_ordinal1) )).
fof(spc631_boole,axiom,( ~ v1_xboole_0(631) )).
fof(spc631_numerals,axiom,( v2_xxreal_0(631) & m1_subset_1(631,k4_ordinal1) )).
fof(spc632_boole,axiom,( ~ v1_xboole_0(632) )).
fof(spc632_numerals,axiom,( v2_xxreal_0(632) & m1_subset_1(632,k4_ordinal1) )).
fof(spc633_boole,axiom,( ~ v1_xboole_0(633) )).
fof(spc633_numerals,axiom,( v2_xxreal_0(633) & m1_subset_1(633,k4_ordinal1) )).
fof(spc634_boole,axiom,( ~ v1_xboole_0(634) )).
fof(spc634_numerals,axiom,( v2_xxreal_0(634) & m1_subset_1(634,k4_ordinal1) )).
fof(spc635_boole,axiom,( ~ v1_xboole_0(635) )).
fof(spc635_numerals,axiom,( v2_xxreal_0(635) & m1_subset_1(635,k4_ordinal1) )).
fof(spc636_boole,axiom,( ~ v1_xboole_0(636) )).
fof(spc636_numerals,axiom,( v2_xxreal_0(636) & m1_subset_1(636,k4_ordinal1) )).
fof(spc637_boole,axiom,( ~ v1_xboole_0(637) )).
fof(spc637_numerals,axiom,( v2_xxreal_0(637) & m1_subset_1(637,k4_ordinal1) )).
fof(spc638_boole,axiom,( ~ v1_xboole_0(638) )).
fof(spc638_numerals,axiom,( v2_xxreal_0(638) & m1_subset_1(638,k4_ordinal1) )).
fof(spc639_boole,axiom,( ~ v1_xboole_0(639) )).
fof(spc639_numerals,axiom,( v2_xxreal_0(639) & m1_subset_1(639,k4_ordinal1) )).
fof(spc63_boole,axiom,( ~ v1_xboole_0(63) )).
fof(spc63_numerals,axiom,( v2_xxreal_0(63) & m1_subset_1(63,k4_ordinal1) )).
fof(spc640_boole,axiom,( ~ v1_xboole_0(640) )).
fof(spc640_numerals,axiom,( v2_xxreal_0(640) & m1_subset_1(640,k4_ordinal1) )).
fof(spc641_boole,axiom,( ~ v1_xboole_0(641) )).
fof(spc641_numerals,axiom,( v2_xxreal_0(641) & m1_subset_1(641,k4_ordinal1) )).
fof(spc642_boole,axiom,( ~ v1_xboole_0(642) )).
fof(spc642_numerals,axiom,( v2_xxreal_0(642) & m1_subset_1(642,k4_ordinal1) )).
fof(spc643_boole,axiom,( ~ v1_xboole_0(643) )).
fof(spc643_numerals,axiom,( v2_xxreal_0(643) & m1_subset_1(643,k4_ordinal1) )).
fof(spc645_boole,axiom,( ~ v1_xboole_0(645) )).
fof(spc645_numerals,axiom,( v2_xxreal_0(645) & m1_subset_1(645,k4_ordinal1) )).
fof(spc646_boole,axiom,( ~ v1_xboole_0(646) )).
fof(spc646_numerals,axiom,( v2_xxreal_0(646) & m1_subset_1(646,k4_ordinal1) )).
fof(spc648_boole,axiom,( ~ v1_xboole_0(648) )).
fof(spc648_numerals,axiom,( v2_xxreal_0(648) & m1_subset_1(648,k4_ordinal1) )).
fof(spc64_boole,axiom,( ~ v1_xboole_0(64) )).
fof(spc64_numerals,axiom,( v2_xxreal_0(64) & m1_subset_1(64,k4_ordinal1) )).
fof(spc652_boole,axiom,( ~ v1_xboole_0(652) )).
fof(spc652_numerals,axiom,( v2_xxreal_0(652) & m1_subset_1(652,k4_ordinal1) )).
fof(spc654_boole,axiom,( ~ v1_xboole_0(654) )).
fof(spc654_numerals,axiom,( v2_xxreal_0(654) & m1_subset_1(654,k4_ordinal1) )).
fof(spc655_boole,axiom,( ~ v1_xboole_0(655) )).
fof(spc655_numerals,axiom,( v2_xxreal_0(655) & m1_subset_1(655,k4_ordinal1) )).
fof(spc656_boole,axiom,( ~ v1_xboole_0(656) )).
fof(spc656_numerals,axiom,( v2_xxreal_0(656) & m1_subset_1(656,k4_ordinal1) )).
fof(spc657_boole,axiom,( ~ v1_xboole_0(657) )).
fof(spc657_numerals,axiom,( v2_xxreal_0(657) & m1_subset_1(657,k4_ordinal1) )).
fof(spc658_boole,axiom,( ~ v1_xboole_0(658) )).
fof(spc658_numerals,axiom,( v2_xxreal_0(658) & m1_subset_1(658,k4_ordinal1) )).
fof(spc659_boole,axiom,( ~ v1_xboole_0(659) )).
fof(spc659_numerals,axiom,( v2_xxreal_0(659) & m1_subset_1(659,k4_ordinal1) )).
fof(spc65_boole,axiom,( ~ v1_xboole_0(65) )).
fof(spc65_numerals,axiom,( v2_xxreal_0(65) & m1_subset_1(65,k4_ordinal1) )).
fof(spc660_boole,axiom,( ~ v1_xboole_0(660) )).
fof(spc660_numerals,axiom,( v2_xxreal_0(660) & m1_subset_1(660,k4_ordinal1) )).
fof(spc662_boole,axiom,( ~ v1_xboole_0(662) )).
fof(spc662_numerals,axiom,( v2_xxreal_0(662) & m1_subset_1(662,k4_ordinal1) )).
fof(spc664_boole,axiom,( ~ v1_xboole_0(664) )).
fof(spc664_numerals,axiom,( v2_xxreal_0(664) & m1_subset_1(664,k4_ordinal1) )).
fof(spc665_boole,axiom,( ~ v1_xboole_0(665) )).
fof(spc665_numerals,axiom,( v2_xxreal_0(665) & m1_subset_1(665,k4_ordinal1) )).
fof(spc666_boole,axiom,( ~ v1_xboole_0(666) )).
fof(spc666_numerals,axiom,( v2_xxreal_0(666) & m1_subset_1(666,k4_ordinal1) )).
fof(spc668_boole,axiom,( ~ v1_xboole_0(668) )).
fof(spc668_numerals,axiom,( v2_xxreal_0(668) & m1_subset_1(668,k4_ordinal1) )).
fof(spc669_boole,axiom,( ~ v1_xboole_0(669) )).
fof(spc669_numerals,axiom,( v2_xxreal_0(669) & m1_subset_1(669,k4_ordinal1) )).
fof(spc66_boole,axiom,( ~ v1_xboole_0(66) )).
fof(spc66_numerals,axiom,( v2_xxreal_0(66) & m1_subset_1(66,k4_ordinal1) )).
fof(spc670_boole,axiom,( ~ v1_xboole_0(670) )).
fof(spc670_numerals,axiom,( v2_xxreal_0(670) & m1_subset_1(670,k4_ordinal1) )).
fof(spc671_boole,axiom,( ~ v1_xboole_0(671) )).
fof(spc671_numerals,axiom,( v2_xxreal_0(671) & m1_subset_1(671,k4_ordinal1) )).
fof(spc672_boole,axiom,( ~ v1_xboole_0(672) )).
fof(spc672_numerals,axiom,( v2_xxreal_0(672) & m1_subset_1(672,k4_ordinal1) )).
fof(spc673_boole,axiom,( ~ v1_xboole_0(673) )).
fof(spc673_numerals,axiom,( v2_xxreal_0(673) & m1_subset_1(673,k4_ordinal1) )).
fof(spc674_boole,axiom,( ~ v1_xboole_0(674) )).
fof(spc674_numerals,axiom,( v2_xxreal_0(674) & m1_subset_1(674,k4_ordinal1) )).
fof(spc675_boole,axiom,( ~ v1_xboole_0(675) )).
fof(spc675_numerals,axiom,( v2_xxreal_0(675) & m1_subset_1(675,k4_ordinal1) )).
fof(spc67_boole,axiom,( ~ v1_xboole_0(67) )).
fof(spc67_numerals,axiom,( v2_xxreal_0(67) & m1_subset_1(67,k4_ordinal1) )).
fof(spc680_boole,axiom,( ~ v1_xboole_0(680) )).
fof(spc680_numerals,axiom,( v2_xxreal_0(680) & m1_subset_1(680,k4_ordinal1) )).
fof(spc681_boole,axiom,( ~ v1_xboole_0(681) )).
fof(spc681_numerals,axiom,( v2_xxreal_0(681) & m1_subset_1(681,k4_ordinal1) )).
fof(spc684_boole,axiom,( ~ v1_xboole_0(684) )).
fof(spc684_numerals,axiom,( v2_xxreal_0(684) & m1_subset_1(684,k4_ordinal1) )).
fof(spc688_boole,axiom,( ~ v1_xboole_0(688) )).
fof(spc688_numerals,axiom,( v2_xxreal_0(688) & m1_subset_1(688,k4_ordinal1) )).
fof(spc689_boole,axiom,( ~ v1_xboole_0(689) )).
fof(spc689_numerals,axiom,( v2_xxreal_0(689) & m1_subset_1(689,k4_ordinal1) )).
fof(spc68_boole,axiom,( ~ v1_xboole_0(68) )).
fof(spc68_numerals,axiom,( v2_xxreal_0(68) & m1_subset_1(68,k4_ordinal1) )).
fof(spc690_boole,axiom,( ~ v1_xboole_0(690) )).
fof(spc690_numerals,axiom,( v2_xxreal_0(690) & m1_subset_1(690,k4_ordinal1) )).
fof(spc691_boole,axiom,( ~ v1_xboole_0(691) )).
fof(spc691_numerals,axiom,( v2_xxreal_0(691) & m1_subset_1(691,k4_ordinal1) )).
fof(spc692_boole,axiom,( ~ v1_xboole_0(692) )).
fof(spc692_numerals,axiom,( v2_xxreal_0(692) & m1_subset_1(692,k4_ordinal1) )).
fof(spc693_boole,axiom,( ~ v1_xboole_0(693) )).
fof(spc693_numerals,axiom,( v2_xxreal_0(693) & m1_subset_1(693,k4_ordinal1) )).
fof(spc694_boole,axiom,( ~ v1_xboole_0(694) )).
fof(spc694_numerals,axiom,( v2_xxreal_0(694) & m1_subset_1(694,k4_ordinal1) )).
fof(spc696_boole,axiom,( ~ v1_xboole_0(696) )).
fof(spc696_numerals,axiom,( v2_xxreal_0(696) & m1_subset_1(696,k4_ordinal1) )).
fof(spc698_boole,axiom,( ~ v1_xboole_0(698) )).
fof(spc698_numerals,axiom,( v2_xxreal_0(698) & m1_subset_1(698,k4_ordinal1) )).
fof(spc699_boole,axiom,( ~ v1_xboole_0(699) )).
fof(spc699_numerals,axiom,( v2_xxreal_0(699) & m1_subset_1(699,k4_ordinal1) )).
fof(spc69_boole,axiom,( ~ v1_xboole_0(69) )).
fof(spc69_numerals,axiom,( v2_xxreal_0(69) & m1_subset_1(69,k4_ordinal1) )).
fof(spc6_arithm,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => k2_xcmplx_0(k2_xcmplx_0(A,B),C) = k2_xcmplx_0(A,k2_xcmplx_0(B,C)) ) )).
fof(spc6_boole,axiom,( ~ v1_xboole_0(6) )).
fof(spc6_numerals,axiom,( v2_xxreal_0(6) & m1_subset_1(6,k4_ordinal1) )).
fof(spc700_boole,axiom,( ~ v1_xboole_0(700) )).
fof(spc700_numerals,axiom,( v2_xxreal_0(700) & m1_subset_1(700,k4_ordinal1) )).
fof(spc702_boole,axiom,( ~ v1_xboole_0(702) )).
fof(spc702_numerals,axiom,( v2_xxreal_0(702) & m1_subset_1(702,k4_ordinal1) )).
fof(spc704_boole,axiom,( ~ v1_xboole_0(704) )).
fof(spc704_numerals,axiom,( v2_xxreal_0(704) & m1_subset_1(704,k4_ordinal1) )).
fof(spc708_boole,axiom,( ~ v1_xboole_0(708) )).
fof(spc708_numerals,axiom,( v2_xxreal_0(708) & m1_subset_1(708,k4_ordinal1) )).
fof(spc70_boole,axiom,( ~ v1_xboole_0(70) )).
fof(spc70_numerals,axiom,( v2_xxreal_0(70) & m1_subset_1(70,k4_ordinal1) )).
fof(spc712_boole,axiom,( ~ v1_xboole_0(712) )).
fof(spc712_numerals,axiom,( v2_xxreal_0(712) & m1_subset_1(712,k4_ordinal1) )).
fof(spc714_boole,axiom,( ~ v1_xboole_0(714) )).
fof(spc714_numerals,axiom,( v2_xxreal_0(714) & m1_subset_1(714,k4_ordinal1) )).
fof(spc715_boole,axiom,( ~ v1_xboole_0(715) )).
fof(spc715_numerals,axiom,( v2_xxreal_0(715) & m1_subset_1(715,k4_ordinal1) )).
fof(spc716_boole,axiom,( ~ v1_xboole_0(716) )).
fof(spc716_numerals,axiom,( v2_xxreal_0(716) & m1_subset_1(716,k4_ordinal1) )).
fof(spc718_boole,axiom,( ~ v1_xboole_0(718) )).
fof(spc718_numerals,axiom,( v2_xxreal_0(718) & m1_subset_1(718,k4_ordinal1) )).
fof(spc719_boole,axiom,( ~ v1_xboole_0(719) )).
fof(spc719_numerals,axiom,( v2_xxreal_0(719) & m1_subset_1(719,k4_ordinal1) )).
fof(spc71_boole,axiom,( ~ v1_xboole_0(71) )).
fof(spc71_numerals,axiom,( v2_xxreal_0(71) & m1_subset_1(71,k4_ordinal1) )).
fof(spc720_boole,axiom,( ~ v1_xboole_0(720) )).
fof(spc720_numerals,axiom,( v2_xxreal_0(720) & m1_subset_1(720,k4_ordinal1) )).
fof(spc721_boole,axiom,( ~ v1_xboole_0(721) )).
fof(spc721_numerals,axiom,( v2_xxreal_0(721) & m1_subset_1(721,k4_ordinal1) )).
fof(spc722_boole,axiom,( ~ v1_xboole_0(722) )).
fof(spc722_numerals,axiom,( v2_xxreal_0(722) & m1_subset_1(722,k4_ordinal1) )).
fof(spc728_boole,axiom,( ~ v1_xboole_0(728) )).
fof(spc728_numerals,axiom,( v2_xxreal_0(728) & m1_subset_1(728,k4_ordinal1) )).
fof(spc729_boole,axiom,( ~ v1_xboole_0(729) )).
fof(spc729_numerals,axiom,( v2_xxreal_0(729) & m1_subset_1(729,k4_ordinal1) )).
fof(spc72_boole,axiom,( ~ v1_xboole_0(72) )).
fof(spc72_numerals,axiom,( v2_xxreal_0(72) & m1_subset_1(72,k4_ordinal1) )).
fof(spc731_boole,axiom,( ~ v1_xboole_0(731) )).
fof(spc731_numerals,axiom,( v2_xxreal_0(731) & m1_subset_1(731,k4_ordinal1) )).
fof(spc732_boole,axiom,( ~ v1_xboole_0(732) )).
fof(spc732_numerals,axiom,( v2_xxreal_0(732) & m1_subset_1(732,k4_ordinal1) )).
fof(spc733_boole,axiom,( ~ v1_xboole_0(733) )).
fof(spc733_numerals,axiom,( v2_xxreal_0(733) & m1_subset_1(733,k4_ordinal1) )).
fof(spc738_boole,axiom,( ~ v1_xboole_0(738) )).
fof(spc738_numerals,axiom,( v2_xxreal_0(738) & m1_subset_1(738,k4_ordinal1) )).
fof(spc73_boole,axiom,( ~ v1_xboole_0(73) )).
fof(spc73_numerals,axiom,( v2_xxreal_0(73) & m1_subset_1(73,k4_ordinal1) )).
fof(spc743_boole,axiom,( ~ v1_xboole_0(743) )).
fof(spc743_numerals,axiom,( v2_xxreal_0(743) & m1_subset_1(743,k4_ordinal1) )).
fof(spc744_boole,axiom,( ~ v1_xboole_0(744) )).
fof(spc744_numerals,axiom,( v2_xxreal_0(744) & m1_subset_1(744,k4_ordinal1) )).
fof(spc745_boole,axiom,( ~ v1_xboole_0(745) )).
fof(spc745_numerals,axiom,( v2_xxreal_0(745) & m1_subset_1(745,k4_ordinal1) )).
fof(spc74_boole,axiom,( ~ v1_xboole_0(74) )).
fof(spc74_numerals,axiom,( v2_xxreal_0(74) & m1_subset_1(74,k4_ordinal1) )).
fof(spc750_boole,axiom,( ~ v1_xboole_0(750) )).
fof(spc750_numerals,axiom,( v2_xxreal_0(750) & m1_subset_1(750,k4_ordinal1) )).
fof(spc751_boole,axiom,( ~ v1_xboole_0(751) )).
fof(spc751_numerals,axiom,( v2_xxreal_0(751) & m1_subset_1(751,k4_ordinal1) )).
fof(spc754_boole,axiom,( ~ v1_xboole_0(754) )).
fof(spc754_numerals,axiom,( v2_xxreal_0(754) & m1_subset_1(754,k4_ordinal1) )).
fof(spc756_boole,axiom,( ~ v1_xboole_0(756) )).
fof(spc756_numerals,axiom,( v2_xxreal_0(756) & m1_subset_1(756,k4_ordinal1) )).
fof(spc757_boole,axiom,( ~ v1_xboole_0(757) )).
fof(spc757_numerals,axiom,( v2_xxreal_0(757) & m1_subset_1(757,k4_ordinal1) )).
fof(spc75_boole,axiom,( ~ v1_xboole_0(75) )).
fof(spc75_numerals,axiom,( v2_xxreal_0(75) & m1_subset_1(75,k4_ordinal1) )).
fof(spc764_boole,axiom,( ~ v1_xboole_0(764) )).
fof(spc764_numerals,axiom,( v2_xxreal_0(764) & m1_subset_1(764,k4_ordinal1) )).
fof(spc765_boole,axiom,( ~ v1_xboole_0(765) )).
fof(spc765_numerals,axiom,( v2_xxreal_0(765) & m1_subset_1(765,k4_ordinal1) )).
fof(spc767_boole,axiom,( ~ v1_xboole_0(767) )).
fof(spc767_numerals,axiom,( v2_xxreal_0(767) & m1_subset_1(767,k4_ordinal1) )).
fof(spc768_boole,axiom,( ~ v1_xboole_0(768) )).
fof(spc768_numerals,axiom,( v2_xxreal_0(768) & m1_subset_1(768,k4_ordinal1) )).
fof(spc769_boole,axiom,( ~ v1_xboole_0(769) )).
fof(spc769_numerals,axiom,( v2_xxreal_0(769) & m1_subset_1(769,k4_ordinal1) )).
fof(spc76_boole,axiom,( ~ v1_xboole_0(76) )).
fof(spc76_numerals,axiom,( v2_xxreal_0(76) & m1_subset_1(76,k4_ordinal1) )).
fof(spc771_boole,axiom,( ~ v1_xboole_0(771) )).
fof(spc771_numerals,axiom,( v2_xxreal_0(771) & m1_subset_1(771,k4_ordinal1) )).
fof(spc772_boole,axiom,( ~ v1_xboole_0(772) )).
fof(spc772_numerals,axiom,( v2_xxreal_0(772) & m1_subset_1(772,k4_ordinal1) )).
fof(spc774_boole,axiom,( ~ v1_xboole_0(774) )).
fof(spc774_numerals,axiom,( v2_xxreal_0(774) & m1_subset_1(774,k4_ordinal1) )).
fof(spc775_boole,axiom,( ~ v1_xboole_0(775) )).
fof(spc775_numerals,axiom,( v2_xxreal_0(775) & m1_subset_1(775,k4_ordinal1) )).
fof(spc777_boole,axiom,( ~ v1_xboole_0(777) )).
fof(spc777_numerals,axiom,( v2_xxreal_0(777) & m1_subset_1(777,k4_ordinal1) )).
fof(spc779_boole,axiom,( ~ v1_xboole_0(779) )).
fof(spc779_numerals,axiom,( v2_xxreal_0(779) & m1_subset_1(779,k4_ordinal1) )).
fof(spc77_boole,axiom,( ~ v1_xboole_0(77) )).
fof(spc77_numerals,axiom,( v2_xxreal_0(77) & m1_subset_1(77,k4_ordinal1) )).
fof(spc780_boole,axiom,( ~ v1_xboole_0(780) )).
fof(spc780_numerals,axiom,( v2_xxreal_0(780) & m1_subset_1(780,k4_ordinal1) )).
fof(spc782_boole,axiom,( ~ v1_xboole_0(782) )).
fof(spc782_numerals,axiom,( v2_xxreal_0(782) & m1_subset_1(782,k4_ordinal1) )).
fof(spc784_boole,axiom,( ~ v1_xboole_0(784) )).
fof(spc784_numerals,axiom,( v2_xxreal_0(784) & m1_subset_1(784,k4_ordinal1) )).
fof(spc785_boole,axiom,( ~ v1_xboole_0(785) )).
fof(spc785_numerals,axiom,( v2_xxreal_0(785) & m1_subset_1(785,k4_ordinal1) )).
fof(spc786_boole,axiom,( ~ v1_xboole_0(786) )).
fof(spc786_numerals,axiom,( v2_xxreal_0(786) & m1_subset_1(786,k4_ordinal1) )).
fof(spc78_boole,axiom,( ~ v1_xboole_0(78) )).
fof(spc78_numerals,axiom,( v2_xxreal_0(78) & m1_subset_1(78,k4_ordinal1) )).
fof(spc790_boole,axiom,( ~ v1_xboole_0(790) )).
fof(spc790_numerals,axiom,( v2_xxreal_0(790) & m1_subset_1(790,k4_ordinal1) )).
fof(spc791_boole,axiom,( ~ v1_xboole_0(791) )).
fof(spc791_numerals,axiom,( v2_xxreal_0(791) & m1_subset_1(791,k4_ordinal1) )).
fof(spc792_boole,axiom,( ~ v1_xboole_0(792) )).
fof(spc792_numerals,axiom,( v2_xxreal_0(792) & m1_subset_1(792,k4_ordinal1) )).
fof(spc793_boole,axiom,( ~ v1_xboole_0(793) )).
fof(spc793_numerals,axiom,( v2_xxreal_0(793) & m1_subset_1(793,k4_ordinal1) )).
fof(spc794_boole,axiom,( ~ v1_xboole_0(794) )).
fof(spc794_numerals,axiom,( v2_xxreal_0(794) & m1_subset_1(794,k4_ordinal1) )).
fof(spc796_boole,axiom,( ~ v1_xboole_0(796) )).
fof(spc796_numerals,axiom,( v2_xxreal_0(796) & m1_subset_1(796,k4_ordinal1) )).
fof(spc798_boole,axiom,( ~ v1_xboole_0(798) )).
fof(spc798_numerals,axiom,( v2_xxreal_0(798) & m1_subset_1(798,k4_ordinal1) )).
fof(spc799_boole,axiom,( ~ v1_xboole_0(799) )).
fof(spc799_numerals,axiom,( v2_xxreal_0(799) & m1_subset_1(799,k4_ordinal1) )).
fof(spc79_boole,axiom,( ~ v1_xboole_0(79) )).
fof(spc79_numerals,axiom,( v2_xxreal_0(79) & m1_subset_1(79,k4_ordinal1) )).
fof(spc7_arithm,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) & v1_xcmplx_0(C) ) => k3_xcmplx_0(k3_xcmplx_0(A,B),C) = k3_xcmplx_0(A,k3_xcmplx_0(B,C)) ) )).
fof(spc7_boole,axiom,( ~ v1_xboole_0(7) )).
fof(spc7_numerals,axiom,( v2_xxreal_0(7) & m1_subset_1(7,k4_ordinal1) )).
fof(spc800_boole,axiom,( ~ v1_xboole_0(800) )).
fof(spc800_numerals,axiom,( v2_xxreal_0(800) & m1_subset_1(800,k4_ordinal1) )).
fof(spc801_boole,axiom,( ~ v1_xboole_0(801) )).
fof(spc801_numerals,axiom,( v2_xxreal_0(801) & m1_subset_1(801,k4_ordinal1) )).
fof(spc802_boole,axiom,( ~ v1_xboole_0(802) )).
fof(spc802_numerals,axiom,( v2_xxreal_0(802) & m1_subset_1(802,k4_ordinal1) )).
fof(spc804_boole,axiom,( ~ v1_xboole_0(804) )).
fof(spc804_numerals,axiom,( v2_xxreal_0(804) & m1_subset_1(804,k4_ordinal1) )).
fof(spc805_boole,axiom,( ~ v1_xboole_0(805) )).
fof(spc805_numerals,axiom,( v2_xxreal_0(805) & m1_subset_1(805,k4_ordinal1) )).
fof(spc806_boole,axiom,( ~ v1_xboole_0(806) )).
fof(spc806_numerals,axiom,( v2_xxreal_0(806) & m1_subset_1(806,k4_ordinal1) )).
fof(spc807_boole,axiom,( ~ v1_xboole_0(807) )).
fof(spc807_numerals,axiom,( v2_xxreal_0(807) & m1_subset_1(807,k4_ordinal1) )).
fof(spc808_boole,axiom,( ~ v1_xboole_0(808) )).
fof(spc808_numerals,axiom,( v2_xxreal_0(808) & m1_subset_1(808,k4_ordinal1) )).
fof(spc809_boole,axiom,( ~ v1_xboole_0(809) )).
fof(spc809_numerals,axiom,( v2_xxreal_0(809) & m1_subset_1(809,k4_ordinal1) )).
fof(spc80_boole,axiom,( ~ v1_xboole_0(80) )).
fof(spc80_numerals,axiom,( v2_xxreal_0(80) & m1_subset_1(80,k4_ordinal1) )).
fof(spc810_boole,axiom,( ~ v1_xboole_0(810) )).
fof(spc810_numerals,axiom,( v2_xxreal_0(810) & m1_subset_1(810,k4_ordinal1) )).
fof(spc816_boole,axiom,( ~ v1_xboole_0(816) )).
fof(spc816_numerals,axiom,( v2_xxreal_0(816) & m1_subset_1(816,k4_ordinal1) )).
fof(spc81_boole,axiom,( ~ v1_xboole_0(81) )).
fof(spc81_numerals,axiom,( v2_xxreal_0(81) & m1_subset_1(81,k4_ordinal1) )).
fof(spc820_boole,axiom,( ~ v1_xboole_0(820) )).
fof(spc820_numerals,axiom,( v2_xxreal_0(820) & m1_subset_1(820,k4_ordinal1) )).
fof(spc824_boole,axiom,( ~ v1_xboole_0(824) )).
fof(spc824_numerals,axiom,( v2_xxreal_0(824) & m1_subset_1(824,k4_ordinal1) )).
fof(spc827_boole,axiom,( ~ v1_xboole_0(827) )).
fof(spc827_numerals,axiom,( v2_xxreal_0(827) & m1_subset_1(827,k4_ordinal1) )).
fof(spc828_boole,axiom,( ~ v1_xboole_0(828) )).
fof(spc828_numerals,axiom,( v2_xxreal_0(828) & m1_subset_1(828,k4_ordinal1) )).
fof(spc82_boole,axiom,( ~ v1_xboole_0(82) )).
fof(spc82_numerals,axiom,( v2_xxreal_0(82) & m1_subset_1(82,k4_ordinal1) )).
fof(spc830_boole,axiom,( ~ v1_xboole_0(830) )).
fof(spc830_numerals,axiom,( v2_xxreal_0(830) & m1_subset_1(830,k4_ordinal1) )).
fof(spc831_boole,axiom,( ~ v1_xboole_0(831) )).
fof(spc831_numerals,axiom,( v2_xxreal_0(831) & m1_subset_1(831,k4_ordinal1) )).
fof(spc832_boole,axiom,( ~ v1_xboole_0(832) )).
fof(spc832_numerals,axiom,( v2_xxreal_0(832) & m1_subset_1(832,k4_ordinal1) )).
fof(spc836_boole,axiom,( ~ v1_xboole_0(836) )).
fof(spc836_numerals,axiom,( v2_xxreal_0(836) & m1_subset_1(836,k4_ordinal1) )).
fof(spc839_boole,axiom,( ~ v1_xboole_0(839) )).
fof(spc839_numerals,axiom,( v2_xxreal_0(839) & m1_subset_1(839,k4_ordinal1) )).
fof(spc83_boole,axiom,( ~ v1_xboole_0(83) )).
fof(spc83_numerals,axiom,( v2_xxreal_0(83) & m1_subset_1(83,k4_ordinal1) )).
fof(spc841_boole,axiom,( ~ v1_xboole_0(841) )).
fof(spc841_numerals,axiom,( v2_xxreal_0(841) & m1_subset_1(841,k4_ordinal1) )).
fof(spc846_boole,axiom,( ~ v1_xboole_0(846) )).
fof(spc846_numerals,axiom,( v2_xxreal_0(846) & m1_subset_1(846,k4_ordinal1) )).
fof(spc847_boole,axiom,( ~ v1_xboole_0(847) )).
fof(spc847_numerals,axiom,( v2_xxreal_0(847) & m1_subset_1(847,k4_ordinal1) )).
fof(spc848_boole,axiom,( ~ v1_xboole_0(848) )).
fof(spc848_numerals,axiom,( v2_xxreal_0(848) & m1_subset_1(848,k4_ordinal1) )).
fof(spc84_boole,axiom,( ~ v1_xboole_0(84) )).
fof(spc84_numerals,axiom,( v2_xxreal_0(84) & m1_subset_1(84,k4_ordinal1) )).
fof(spc854_boole,axiom,( ~ v1_xboole_0(854) )).
fof(spc854_numerals,axiom,( v2_xxreal_0(854) & m1_subset_1(854,k4_ordinal1) )).
fof(spc855_boole,axiom,( ~ v1_xboole_0(855) )).
fof(spc855_numerals,axiom,( v2_xxreal_0(855) & m1_subset_1(855,k4_ordinal1) )).
fof(spc85_boole,axiom,( ~ v1_xboole_0(85) )).
fof(spc85_numerals,axiom,( v2_xxreal_0(85) & m1_subset_1(85,k4_ordinal1) )).
fof(spc860_boole,axiom,( ~ v1_xboole_0(860) )).
fof(spc860_numerals,axiom,( v2_xxreal_0(860) & m1_subset_1(860,k4_ordinal1) )).
fof(spc861_boole,axiom,( ~ v1_xboole_0(861) )).
fof(spc861_numerals,axiom,( v2_xxreal_0(861) & m1_subset_1(861,k4_ordinal1) )).
fof(spc864_boole,axiom,( ~ v1_xboole_0(864) )).
fof(spc864_numerals,axiom,( v2_xxreal_0(864) & m1_subset_1(864,k4_ordinal1) )).
fof(spc869_boole,axiom,( ~ v1_xboole_0(869) )).
fof(spc869_numerals,axiom,( v2_xxreal_0(869) & m1_subset_1(869,k4_ordinal1) )).
fof(spc86_boole,axiom,( ~ v1_xboole_0(86) )).
fof(spc86_numerals,axiom,( v2_xxreal_0(86) & m1_subset_1(86,k4_ordinal1) )).
fof(spc870_boole,axiom,( ~ v1_xboole_0(870) )).
fof(spc870_numerals,axiom,( v2_xxreal_0(870) & m1_subset_1(870,k4_ordinal1) )).
fof(spc873_boole,axiom,( ~ v1_xboole_0(873) )).
fof(spc873_numerals,axiom,( v2_xxreal_0(873) & m1_subset_1(873,k4_ordinal1) )).
fof(spc875_boole,axiom,( ~ v1_xboole_0(875) )).
fof(spc875_numerals,axiom,( v2_xxreal_0(875) & m1_subset_1(875,k4_ordinal1) )).
fof(spc876_boole,axiom,( ~ v1_xboole_0(876) )).
fof(spc876_numerals,axiom,( v2_xxreal_0(876) & m1_subset_1(876,k4_ordinal1) )).
fof(spc879_boole,axiom,( ~ v1_xboole_0(879) )).
fof(spc879_numerals,axiom,( v2_xxreal_0(879) & m1_subset_1(879,k4_ordinal1) )).
fof(spc87_boole,axiom,( ~ v1_xboole_0(87) )).
fof(spc87_numerals,axiom,( v2_xxreal_0(87) & m1_subset_1(87,k4_ordinal1) )).
fof(spc889_boole,axiom,( ~ v1_xboole_0(889) )).
fof(spc889_numerals,axiom,( v2_xxreal_0(889) & m1_subset_1(889,k4_ordinal1) )).
fof(spc88_boole,axiom,( ~ v1_xboole_0(88) )).
fof(spc88_numerals,axiom,( v2_xxreal_0(88) & m1_subset_1(88,k4_ordinal1) )).
fof(spc899_boole,axiom,( ~ v1_xboole_0(899) )).
fof(spc899_numerals,axiom,( v2_xxreal_0(899) & m1_subset_1(899,k4_ordinal1) )).
fof(spc89_boole,axiom,( ~ v1_xboole_0(89) )).
fof(spc89_numerals,axiom,( v2_xxreal_0(89) & m1_subset_1(89,k4_ordinal1) )).
fof(spc8_arithm,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k2_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k4_xcmplx_0(k2_xcmplx_0(A,B)) ) )).
fof(spc8_boole,axiom,( ~ v1_xboole_0(8) )).
fof(spc8_numerals,axiom,( v2_xxreal_0(8) & m1_subset_1(8,k4_ordinal1) )).
fof(spc900_boole,axiom,( ~ v1_xboole_0(900) )).
fof(spc900_numerals,axiom,( v2_xxreal_0(900) & m1_subset_1(900,k4_ordinal1) )).
fof(spc90_boole,axiom,( ~ v1_xboole_0(90) )).
fof(spc90_numerals,axiom,( v2_xxreal_0(90) & m1_subset_1(90,k4_ordinal1) )).
fof(spc91_boole,axiom,( ~ v1_xboole_0(91) )).
fof(spc91_numerals,axiom,( v2_xxreal_0(91) & m1_subset_1(91,k4_ordinal1) )).
fof(spc925_boole,axiom,( ~ v1_xboole_0(925) )).
fof(spc925_numerals,axiom,( v2_xxreal_0(925) & m1_subset_1(925,k4_ordinal1) )).
fof(spc928_boole,axiom,( ~ v1_xboole_0(928) )).
fof(spc928_numerals,axiom,( v2_xxreal_0(928) & m1_subset_1(928,k4_ordinal1) )).
fof(spc92_boole,axiom,( ~ v1_xboole_0(92) )).
fof(spc92_numerals,axiom,( v2_xxreal_0(92) & m1_subset_1(92,k4_ordinal1) )).
fof(spc936_boole,axiom,( ~ v1_xboole_0(936) )).
fof(spc936_numerals,axiom,( v2_xxreal_0(936) & m1_subset_1(936,k4_ordinal1) )).
fof(spc93_boole,axiom,( ~ v1_xboole_0(93) )).
fof(spc93_numerals,axiom,( v2_xxreal_0(93) & m1_subset_1(93,k4_ordinal1) )).
fof(spc943_boole,axiom,( ~ v1_xboole_0(943) )).
fof(spc943_numerals,axiom,( v2_xxreal_0(943) & m1_subset_1(943,k4_ordinal1) )).
fof(spc94_boole,axiom,( ~ v1_xboole_0(94) )).
fof(spc94_numerals,axiom,( v2_xxreal_0(94) & m1_subset_1(94,k4_ordinal1) )).
fof(spc952_boole,axiom,( ~ v1_xboole_0(952) )).
fof(spc952_numerals,axiom,( v2_xxreal_0(952) & m1_subset_1(952,k4_ordinal1) )).
fof(spc953_boole,axiom,( ~ v1_xboole_0(953) )).
fof(spc953_numerals,axiom,( v2_xxreal_0(953) & m1_subset_1(953,k4_ordinal1) )).
fof(spc95_boole,axiom,( ~ v1_xboole_0(95) )).
fof(spc95_numerals,axiom,( v2_xxreal_0(95) & m1_subset_1(95,k4_ordinal1) )).
fof(spc960_boole,axiom,( ~ v1_xboole_0(960) )).
fof(spc960_numerals,axiom,( v2_xxreal_0(960) & m1_subset_1(960,k4_ordinal1) )).
fof(spc964_boole,axiom,( ~ v1_xboole_0(964) )).
fof(spc964_numerals,axiom,( v2_xxreal_0(964) & m1_subset_1(964,k4_ordinal1) )).
fof(spc96_boole,axiom,( ~ v1_xboole_0(96) )).
fof(spc96_numerals,axiom,( v2_xxreal_0(96) & m1_subset_1(96,k4_ordinal1) )).
fof(spc972_boole,axiom,( ~ v1_xboole_0(972) )).
fof(spc972_numerals,axiom,( v2_xxreal_0(972) & m1_subset_1(972,k4_ordinal1) )).
fof(spc973_boole,axiom,( ~ v1_xboole_0(973) )).
fof(spc973_numerals,axiom,( v2_xxreal_0(973) & m1_subset_1(973,k4_ordinal1) )).
fof(spc976_boole,axiom,( ~ v1_xboole_0(976) )).
fof(spc976_numerals,axiom,( v2_xxreal_0(976) & m1_subset_1(976,k4_ordinal1) )).
fof(spc979_boole,axiom,( ~ v1_xboole_0(979) )).
fof(spc979_numerals,axiom,( v2_xxreal_0(979) & m1_subset_1(979,k4_ordinal1) )).
fof(spc97_boole,axiom,( ~ v1_xboole_0(97) )).
fof(spc97_numerals,axiom,( v2_xxreal_0(97) & m1_subset_1(97,k4_ordinal1) )).
fof(spc982_boole,axiom,( ~ v1_xboole_0(982) )).
fof(spc982_numerals,axiom,( v2_xxreal_0(982) & m1_subset_1(982,k4_ordinal1) )).
fof(spc984_boole,axiom,( ~ v1_xboole_0(984) )).
fof(spc984_numerals,axiom,( v2_xxreal_0(984) & m1_subset_1(984,k4_ordinal1) )).
fof(spc986_boole,axiom,( ~ v1_xboole_0(986) )).
fof(spc986_numerals,axiom,( v2_xxreal_0(986) & m1_subset_1(986,k4_ordinal1) )).
fof(spc988_boole,axiom,( ~ v1_xboole_0(988) )).
fof(spc988_numerals,axiom,( v2_xxreal_0(988) & m1_subset_1(988,k4_ordinal1) )).
fof(spc989_boole,axiom,( ~ v1_xboole_0(989) )).
fof(spc989_numerals,axiom,( v2_xxreal_0(989) & m1_subset_1(989,k4_ordinal1) )).
fof(spc98_boole,axiom,( ~ v1_xboole_0(98) )).
fof(spc98_numerals,axiom,( v2_xxreal_0(98) & m1_subset_1(98,k4_ordinal1) )).
fof(spc990_boole,axiom,( ~ v1_xboole_0(990) )).
fof(spc990_numerals,axiom,( v2_xxreal_0(990) & m1_subset_1(990,k4_ordinal1) )).
fof(spc991_boole,axiom,( ~ v1_xboole_0(991) )).
fof(spc991_numerals,axiom,( v2_xxreal_0(991) & m1_subset_1(991,k4_ordinal1) )).
fof(spc992_boole,axiom,( ~ v1_xboole_0(992) )).
fof(spc992_numerals,axiom,( v2_xxreal_0(992) & m1_subset_1(992,k4_ordinal1) )).
fof(spc994_boole,axiom,( ~ v1_xboole_0(994) )).
fof(spc994_numerals,axiom,( v2_xxreal_0(994) & m1_subset_1(994,k4_ordinal1) )).
fof(spc997_boole,axiom,( ~ v1_xboole_0(997) )).
fof(spc997_numerals,axiom,( v2_xxreal_0(997) & m1_subset_1(997,k4_ordinal1) )).
fof(spc998_boole,axiom,( ~ v1_xboole_0(998) )).
fof(spc998_numerals,axiom,( v2_xxreal_0(998) & m1_subset_1(998,k4_ordinal1) )).
fof(spc999_boole,axiom,( ~ v1_xboole_0(999) )).
fof(spc999_numerals,axiom,( v2_xxreal_0(999) & m1_subset_1(999,k4_ordinal1) )).
fof(spc99_boole,axiom,( ~ v1_xboole_0(99) )).
fof(spc99_numerals,axiom,( v2_xxreal_0(99) & m1_subset_1(99,k4_ordinal1) )).
fof(spc9_arithm,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_xcmplx_0(B) ) => k6_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k6_xcmplx_0(B,A) ) )).
fof(spc9_boole,axiom,( ~ v1_xboole_0(9) )).
fof(spc9_numerals,axiom,( v2_xxreal_0(9) & m1_subset_1(9,k4_ordinal1) )).
fof(symmetry_r10_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r10_absred_0(A,B,C) => r10_absred_0(A,C,B) ) ) )).
fof(symmetry_r10_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r10_analmetr(A,B,C) => r10_analmetr(A,C,B) ) ) )).
fof(symmetry_r10_rewrite1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ( r10_rewrite1(A,B) => r10_rewrite1(B,A) ) ) )).
fof(symmetry_r11_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r11_absred_0(A,B,C) => r11_absred_0(A,C,B) ) ) )).
fof(symmetry_r11_rewrite1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ( r11_rewrite1(A,B) => r11_rewrite1(B,A) ) ) )).
fof(symmetry_r12_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r12_absred_0(A,B,C) => r12_absred_0(A,C,B) ) ) )).
fof(symmetry_r12_rewrite1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ( r12_rewrite1(A,B) => r12_rewrite1(B,A) ) ) )).
fof(symmetry_r13_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r13_absred_0(A,B,C) => r13_absred_0(A,C,B) ) ) )).
fof(symmetry_r1_afvect0,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_afvect0(A,B,C) => r1_afvect0(A,C,B) ) ) )).
fof(symmetry_r1_anproj_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_anproj_1(A,B,C) => r1_anproj_1(A,C,B) ) ) )).
fof(symmetry_r1_arytm_3,axiom,( ! [A] : ! [B] : ( ( v3_ordinal1(A) & v3_ordinal1(B) ) => ( r1_arytm_3(A,B) => r1_arytm_3(B,A) ) ) )).
fof(symmetry_r1_bhsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_bhsp_1(A,B,C) => r1_bhsp_1(A,C,B) ) ) )).
fof(symmetry_r1_bhsp_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_bhsp_3(A,B,C) => r1_bhsp_3(A,C,B) ) ) )).
fof(symmetry_r1_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_boolealg(A,B,C) => r1_boolealg(A,C,B) ) ) )).
fof(symmetry_r1_borsuk_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_borsuk_6(A,B,C) => r1_borsuk_6(A,C,B) ) ) )).
fof(symmetry_r1_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_cat_1(A,B,C) => r1_cat_1(A,C,B) ) ) )).
fof(symmetry_r1_chord,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & m1_subset_1(B,k6_glib_000(A)) & m1_subset_1(C,k6_glib_000(A)) ) => ( r1_chord(A,B,C) => r1_chord(A,C,B) ) ) )).
fof(symmetry_r1_circcomb,axiom,( ! [A] : ! [B] : ( ( l1_msualg_1(A) & l1_msualg_1(B) ) => ( r1_circcomb(A,B) => r1_circcomb(B,A) ) ) )).
fof(symmetry_r1_connsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_connsp_1(A,B,C) => r1_connsp_1(A,C,B) ) ) )).
fof(symmetry_r1_convex4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_convex4(B,A) & m1_convex4(C,A) ) => ( r1_convex4(A,B,C) => r1_convex4(A,C,B) ) ) )).
fof(symmetry_r1_csspace,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_csspace(A,B,C) => r1_csspace(A,C,B) ) ) )).
fof(symmetry_r1_dist_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_finseq_1(B,A) & m1_finseq_1(C,A) ) => ( r1_dist_1(A,B,C) => r1_dist_1(A,C,B) ) ) )).
fof(symmetry_r1_ec_pf_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & v1_int_2(A) & m1_subset_1(B,k3_ec_pf_1(k9_int_3(A))) & m1_subset_1(C,k3_ec_pf_1(k9_int_3(A))) ) => ( r1_ec_pf_1(A,B,C) => r1_ec_pf_1(A,C,B) ) ) )).
fof(symmetry_r1_filter_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( r1_filter_1(A,B) => r1_filter_1(B,A) ) ) )).
fof(symmetry_r1_filter_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( r1_filter_2(A,B,C) => r1_filter_2(A,C,B) ) ) )).
fof(symmetry_r1_fintopo4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_fintopo4(A,B,C) => r1_fintopo4(A,C,B) ) ) )).
fof(symmetry_r1_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( ~ v1_xboole_0(B) & ~ v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( r1_funct_2(A,B,C,D,E,F) => r1_funct_2(A,B,C,D,F,E) ) ) )).
fof(symmetry_r1_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r1_functor0(A,B) => r1_functor0(B,A) ) ) )).
fof(symmetry_r1_functor3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) & v15_functor0(C,A,B) & m2_functor0(C,A,B) & v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( r1_functor3(A,B,C,D) => r1_functor3(A,B,D,C) ) ) )).
fof(symmetry_r1_gobrd10,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & v7_ordinal1(B) ) => ( r1_gobrd10(A,B) => r1_gobrd10(B,A) ) ) )).
fof(symmetry_r1_group_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & v15_algstr_0(C) & m1_group_2(C,A) ) => ( r1_group_2(A,B,C) => r1_group_2(A,C,B) ) ) )).
fof(symmetry_r1_int_2,axiom,( ! [A] : ! [B] : ( ( v1_int_1(A) & v1_int_1(B) ) => ( r1_int_2(A,B) => r1_int_2(B,A) ) ) )).
fof(symmetry_r1_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_interva1(B,A) & ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ( r1_interva1(A,B,C) => r1_interva1(A,C,B) ) ) )).
fof(symmetry_r1_isocat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r1_isocat_1(A,B) => r1_isocat_1(B,A) ) ) )).
fof(symmetry_r1_lopban_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_lopban_4(A,B,C) => r1_lopban_4(A,C,B) ) ) )).
fof(symmetry_r1_margrel1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k2_margrel1(A)) & m1_subset_1(C,k2_margrel1(A)) ) => ( r1_margrel1(A,B,C) => r1_margrel1(A,C,B) ) ) )).
fof(symmetry_r1_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r1_matrix_6(A,B,C,D) => r1_matrix_6(A,B,D,C) ) ) )).
fof(symmetry_r1_matrix_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r1_matrix_8(A,B,C,D) => r1_matrix_8(A,B,D,C) ) ) )).
fof(symmetry_r1_mfold_2,axiom,( ! [A] : ! [B] : ( ( l1_pre_topc(A) & l1_pre_topc(B) ) => ( r1_mfold_2(A,B) => r1_mfold_2(B,A) ) ) )).
fof(symmetry_r1_osalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_osalg_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( r1_osalg_1(A,B,C) => r1_osalg_1(A,C,B) ) ) )).
fof(symmetry_r1_osalg_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_osalg_4(A,B,C) => r1_osalg_4(A,C,B) ) ) )).
fof(symmetry_r1_partfun1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( r1_partfun1(A,B) => r1_partfun1(B,A) ) ) )).
fof(symmetry_r1_pnproc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) & v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r1_pnproc_1(A,B,C) => r1_pnproc_1(A,C,B) ) ) )).
fof(symmetry_r1_rlvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) ) => ( r1_rlvect_2(A,B,C) => r1_rlvect_2(A,C,B) ) ) )).
fof(symmetry_r1_rmod_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) ) => ( r1_rmod_4(A,B,C,D) => r1_rmod_4(A,B,D,C) ) ) )).
fof(symmetry_r1_rpr_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_finset_1(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( r1_rpr_1(A,B,C) => r1_rpr_1(A,C,B) ) ) )).
fof(symmetry_r1_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( r1_rvsum_1(A,B) => r1_rvsum_1(B,A) ) ) )).
fof(symmetry_r1_rvsum_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( r1_rvsum_3(A,B) => r1_rvsum_3(B,A) ) ) )).
fof(symmetry_r1_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( r1_subset_1(A,B) => r1_subset_1(B,A) ) ) )).
fof(symmetry_r1_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & v7_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) & v7_topalg_6(C,A) & m1_subset_1(C,k1_topalg_6(A)) ) => ( r1_topalg_6(A,B,C) => r1_topalg_6(A,C,B) ) ) )).
fof(symmetry_r1_tsep_1,axiom,( ! [A] : ! [B] : ( ( l1_struct_0(A) & l1_struct_0(B) ) => ( r1_tsep_1(A,B) => r1_tsep_1(B,A) ) ) )).
fof(symmetry_r1_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tsep_2(A,B,C) => r1_tsep_2(A,C,B) ) ) )).
fof(symmetry_r1_unialg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) & ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) => r1_unialg_2(B,A) ) ) )).
fof(symmetry_r1_vectsp_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) & ~ v2_struct_0(B) & l1_vectsp_1(B,A) & m1_vectsp_6(C,A,B) & m1_vectsp_6(D,A,B) ) => ( r1_vectsp_6(A,B,C,D) => r1_vectsp_6(A,B,D,C) ) ) )).
fof(symmetry_r1_xboole_0,axiom,( ! [A] : ! [B] : ( r1_xboole_0(A,B) => r1_xboole_0(B,A) ) )).
fof(symmetry_r1_yellow10,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r1_yellow10(A,B,C) => r1_yellow10(A,C,B) ) ) )).
fof(symmetry_r1_yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r1_yellow18(A,B) => r1_yellow18(B,A) ) ) )).
fof(symmetry_r1_yellow20,axiom,( ! [A] : ! [B] : ( ( l2_altcat_1(A) & l2_altcat_1(B) ) => ( r1_yellow20(A,B) => r1_yellow20(B,A) ) ) )).
fof(symmetry_r1_zmodul02,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) & m1_zmodul02(B,A) & m1_zmodul02(C,A) ) => ( r1_zmodul02(A,B,C) => r1_zmodul02(A,C,B) ) ) )).
fof(symmetry_r2_altcat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_altcat_3(A,B,C) => r2_altcat_3(A,C,B) ) ) )).
fof(symmetry_r2_borsuk_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & l1_pre_topc(B) ) => ( r2_borsuk_3(A,B) => r2_borsuk_3(B,A) ) ) )).
fof(symmetry_r2_cat_6,axiom,( ! [A] : ! [B] : ( ( v10_cat_6(A) & l1_cat_6(A) & v10_cat_6(B) & l1_cat_6(B) ) => ( r2_cat_6(A,B) => r2_cat_6(B,A) ) ) )).
fof(symmetry_r2_circtrm1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) & ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( r2_circtrm1(A,B) => r2_circtrm1(B,A) ) ) )).
fof(symmetry_r2_classes1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_relat_1(B) ) => ( r2_classes1(A,B) => r2_classes1(B,A) ) ) )).
fof(symmetry_r2_clvect_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_clvect_2(A,B,C) => r2_clvect_2(A,C,B) ) ) )).
fof(symmetry_r2_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => ( r2_cqc_sim1(A,B,C) => r2_cqc_sim1(A,C,B) ) ) )).
fof(symmetry_r2_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => ( r2_euclidlp(A,B,C) => r2_euclidlp(A,C,B) ) ) )).
fof(symmetry_r2_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_funct_2(A,B,C,D) => r2_funct_2(A,B,D,C) ) ) )).
fof(symmetry_r2_functor0,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_functor0(A,B) => r2_functor0(B,A) ) ) )).
fof(symmetry_r2_gaussint,axiom,( ! [A] : ! [B] : ( ( v1_xcmplx_0(A) & v1_gaussint(A) & v1_xcmplx_0(B) & v1_gaussint(B) ) => ( r2_gaussint(A,B) => r2_gaussint(B,A) ) ) )).
fof(symmetry_r2_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_group_3(A,B,C) => r2_group_3(A,C,B) ) ) )).
fof(symmetry_r2_group_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r2_group_6(A,B) => r2_group_6(B,A) ) ) )).
fof(symmetry_r2_interva1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) & m2_interva1(B,A) & m2_interva1(C,A) ) => ( r2_interva1(A,B,C) => r2_interva1(A,C,B) ) ) )).
fof(symmetry_r2_isocat_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( r2_isocat_1(A,B) => r2_isocat_1(B,A) ) ) )).
fof(symmetry_r2_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_finseq_1(B,u1_struct_0(k15_euclid(A))) & m1_finseq_1(C,u1_struct_0(k15_euclid(A))) ) => ( r2_jordan12(A,B,C) => r2_jordan12(A,C,B) ) ) )).
fof(symmetry_r2_matrix_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v7_ordinal1(A) & ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m1_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m1_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r2_matrix_6(A,B,C,D) => r2_matrix_6(A,B,D,C) ) ) )).
fof(symmetry_r2_midsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) & m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) & m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) => ( r2_midsp_1(A,B,C) => r2_midsp_1(A,C,B) ) ) )).
fof(symmetry_r2_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v6_pcs_0(A) & l1_pcs_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_pcs_0(A,B,C) => r2_pcs_0(A,C,B) ) ) )).
fof(symmetry_r2_quofield,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) & ~ v2_struct_0(B) & l6_algstr_0(B) ) => ( r2_quofield(A,B) => r2_quofield(B,A) ) ) )).
fof(symmetry_r2_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_relset_1(A,B,C,D) => r2_relset_1(A,B,D,C) ) ) )).
fof(symmetry_r2_stacks_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & m1_subset_1(B,u4_struct_0(A)) & m1_subset_1(C,u4_struct_0(A)) ) => ( r2_stacks_1(A,B,C) => r2_stacks_1(A,C,B) ) ) )).
fof(symmetry_r2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( r2_subset_1(A,B) => r2_subset_1(B,A) ) ) )).
fof(symmetry_r2_topalg_6,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v7_topalg_6(B,A) & m1_subset_1(B,k1_topalg_6(A)) & v7_topalg_6(C,A) & m1_subset_1(C,k1_topalg_6(A)) ) => ( r2_topalg_6(A,B,C) => r2_topalg_6(A,C,B) ) ) )).
fof(symmetry_r2_tsep_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tsep_1(A,B,C) => r2_tsep_1(A,C,B) ) ) )).
fof(symmetry_r2_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tsep_2(A,B,C) => r2_tsep_2(A,C,B) ) ) )).
fof(symmetry_r2_wellord2,axiom,( ! [A] : ! [B] : ( r2_wellord2(A,B) => r2_wellord2(B,A) ) )).
fof(symmetry_r2_yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => r2_yellow18(B,A) ) ) )).
fof(symmetry_r2_yellow_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r2_yellow_5(A,B,C) => r2_yellow_5(A,C,B) ) ) )).
fof(symmetry_r2_zfrefle1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ( r2_zfrefle1(A,B) => r2_zfrefle1(B,A) ) ) )).
fof(symmetry_r3_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_boolealg(A,B,C) => r3_boolealg(A,C,B) ) ) )).
fof(symmetry_r3_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => ( r3_borsuk_2(A,B,C,D,E) => r3_borsuk_2(A,B,C,E,D) ) ) )).
fof(symmetry_r3_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => ( r3_euclidlp(A,B,C) => r3_euclidlp(A,C,B) ) ) )).
fof(symmetry_r3_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_gcd_1(A,B,C) => r3_gcd_1(A,C,B) ) ) )).
fof(symmetry_r3_group_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) & ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ( r3_group_9(A,B,C) => r3_group_9(A,C,B) ) ) )).
fof(symmetry_r3_metric_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_metric_2(A,B,C) => r3_metric_2(A,C,B) ) ) )).
fof(symmetry_r3_necklace,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) & ~ v2_struct_0(B) & l1_orders_2(B) ) => ( r3_necklace(A,B) => r3_necklace(B,A) ) ) )).
fof(symmetry_r3_osalg_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ( r3_osalg_3(A,B,C) => r3_osalg_3(A,C,B) ) ) )).
fof(symmetry_r3_prelamb,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r3_prelamb(A,B,C) => r3_prelamb(A,C,B) ) ) )).
fof(symmetry_r3_tsep_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_pre_topc(B,A) & m1_pre_topc(C,A) ) => ( r3_tsep_1(A,B,C) => r3_tsep_1(A,C,B) ) ) )).
fof(symmetry_r3_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_pre_topc(B,A) & m1_pre_topc(C,A) ) => ( r3_tsep_2(A,B,C) => r3_tsep_2(A,C,B) ) ) )).
fof(symmetry_r3_xboole_0,axiom,( ! [A] : ! [B] : ( r3_xboole_0(A,B) => r3_xboole_0(B,A) ) )).
fof(symmetry_r3_yellow18,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) & ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r3_yellow18(A,B) => r3_yellow18(B,A) ) ) )).
fof(symmetry_r4_boolealg,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r4_boolealg(A,B,C) => r4_boolealg(A,C,B) ) ) )).
fof(symmetry_r4_borsuk_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_borsuk_2(D,A,B,C) & m1_borsuk_2(E,A,B,C) ) => ( r4_borsuk_2(A,B,C,D,E) => r4_borsuk_2(A,B,C,E,D) ) ) )).
fof(symmetry_r4_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) ) => ( r4_cqc_the3(A,B,C) => r4_cqc_the3(A,C,B) ) ) )).
fof(symmetry_r4_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclid(A)) & m1_subset_1(C,k1_euclid(A)) ) => ( r4_euclidlp(A,B,C) => r4_euclidlp(A,C,B) ) ) )).
fof(symmetry_r4_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => ( r4_fsm_1(A,B,C,D) => r4_fsm_1(A,B,D,C) ) ) )).
fof(symmetry_r4_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r4_gcd_1(A,B,C) => r4_gcd_1(A,C,B) ) ) )).
fof(symmetry_r4_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r4_group_3(A,B,C) => r4_group_3(A,C,B) ) ) )).
fof(symmetry_r4_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r4_pboole(A,B,C) => r4_pboole(A,C,B) ) ) )).
fof(symmetry_r4_qmax_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_qmax_1(A) & l1_qmax_1(A) & m1_subset_1(B,k5_qmax_1(A)) & m1_subset_1(C,k5_qmax_1(A)) ) => ( r4_qmax_1(A,B,C) => r4_qmax_1(A,C,B) ) ) )).
fof(symmetry_r4_stacks_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) & ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_stacks_1(B) & v3_stacks_1(B) & v4_stacks_1(B) & v5_stacks_1(B) & v6_stacks_1(B) & l1_stacks_1(B) ) => ( r4_stacks_1(A,B) => r4_stacks_1(B,A) ) ) )).
fof(symmetry_r4_tsep_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_pre_topc(A) & m1_pre_topc(B,A) & m1_pre_topc(C,A) ) => ( r4_tsep_1(A,B,C) => r4_tsep_1(A,C,B) ) ) )).
fof(symmetry_r4_tsep_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & ~ v2_struct_0(B) & m1_pre_topc(B,A) & ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r4_tsep_2(A,B,C) => r4_tsep_2(A,C,B) ) ) )).
fof(symmetry_r5_abcmiz_a,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) & m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) & m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) ) => ( r5_abcmiz_a(A,B,C) => r5_abcmiz_a(A,C,B) ) ) )).
fof(symmetry_r5_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r5_absred_0(A,B,C) => r5_absred_0(A,C,B) ) ) )).
fof(symmetry_r5_aff_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r5_aff_1(A,B,C) => r5_aff_1(A,C,B) ) ) )).
fof(symmetry_r5_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => ( r5_cqc_the3(A,B,C) => r5_cqc_the3(A,C,B) ) ) )).
fof(symmetry_r5_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclidlp(A)) & m1_subset_1(C,k1_euclidlp(A)) ) => ( r5_euclidlp(A,B,C) => r5_euclidlp(A,C,B) ) ) )).
fof(symmetry_r5_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & m1_subset_1(D,u1_struct_0(C)) & m1_subset_1(E,u1_struct_0(C)) ) => ( r5_fsm_1(A,B,C,D,E) => r5_fsm_1(A,B,C,E,D) ) ) )).
fof(symmetry_r5_glib_000,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( r5_glib_000(A,B) => r5_glib_000(B,A) ) ) )).
fof(symmetry_r5_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r5_pboole(A,B,C) => r5_pboole(A,C,B) ) ) )).
fof(symmetry_r6_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r6_absred_0(A,B,C) => r6_absred_0(A,C,B) ) ) )).
fof(symmetry_r6_euclidlp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v7_ordinal1(A) & m1_subset_1(B,k1_euclidlp(A)) & m1_subset_1(C,k1_euclidlp(A)) ) => ( r6_euclidlp(A,B,C) => r6_euclidlp(A,C,B) ) ) )).
fof(symmetry_r6_group_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) & v15_algstr_0(B) & m1_group_2(B,A) & v15_algstr_0(C) & m1_group_2(C,A) ) => ( r6_group_3(A,B,C) => r6_group_3(A,C,B) ) ) )).
fof(symmetry_r6_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,B,C) => r6_pboole(A,C,B) ) ) )).
fof(symmetry_r7_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r7_absred_0(A,B,C) => r7_absred_0(A,C,B) ) ) )).
fof(symmetry_r7_cqc_the3,axiom,( ! [A] : ! [B] : ! [C] : ( ( m1_qc_lang1(A) & m1_subset_1(B,k3_cqc_lang(A)) & m1_subset_1(C,k3_cqc_lang(A)) ) => ( r7_cqc_the3(A,B,C) => r7_cqc_the3(A,C,B) ) ) )).
fof(symmetry_r7_fsm_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v2_struct_0(C) & l2_fsm_1(C,A,B) & ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => ( r7_fsm_1(A,B,C,D) => r7_fsm_1(A,B,D,C) ) ) )).
fof(symmetry_r7_gcd_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & v3_gcd_1(A) & l6_algstr_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r7_gcd_1(A,B,C) => r7_gcd_1(A,C,B) ) ) )).
fof(symmetry_r8_absred_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( l1_absred_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) => ( r8_absred_0(A,B,C) => r8_absred_0(A,C,B) ) ) )).
fof(symmetry_r8_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( r8_binop_1(A,B,C,D,E) => r8_binop_1(A,B,C,E,D) ) ) )).
fof(symmetry_r8_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(A) & v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r8_pboole(A,B,C) => r8_pboole(A,C,B) ) ) )).
fof(symmetry_r9_analmetr,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r9_analmetr(A,B,C) => r9_analmetr(A,C,B) ) ) )).
fof(t100_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => k46_abcmiz_1(A,k37_abcmiz_1(A,B)) = k46_abcmiz_1(A,B) ) ) )).
fof(t100_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r9_absred_0(A,C,B) & r9_absred_0(A,D,B) ) => C = D ) ) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r9_absred_0(A,C,B) ) | k3_absred_0(A,B) = k2_rewrite1(u1_absred_0(A),B) ) ) ) ) )).
fof(t100_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(D)) => ! [F] : ( m1_subset_1(F,D) => ! [G] : ( m1_aofa_000(G,A,D,E) => ( ( v3_freealg(A) & r2_hidden(k4_tarski(F,k16_aofa_000(A,B,C)),k21_aofa_000(A,D,E,G)) & r2_tarski(k2_binop_1(D,u1_struct_0(A),D,G,F,B),E) ) => r2_hidden(k4_tarski(k2_binop_1(D,u1_struct_0(A),D,G,F,B),C),k21_aofa_000(A,D,E,G)) ) ) ) ) ) ) ) ) )).
fof(t100_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v13_aofa_a00(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & v21_aofa_a00(A,1,1,11) & v23_aofa_a00(A,11) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v6_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & v22_aofa_a00(D,A,1,1,11) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_aofa_a01(E,A,B,C) & l4_aofa_a00(E,A,B,C) ) => ! [F] : ( ( v19_aofa_a00(F,A) & m1_subset_1(F,u1_struct_0(A)) ) => ! [G] : ( ( v3_aofa_a01(G,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(G,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) ) => ! [H] : ( ( v3_aofa_a01(H,A,B,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A)) & m1_msafree4(H,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),k36_aofa_a00(A))) ) => ! [I] : ( ( v3_aofa_a01(I,A,B,C,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A)) & m1_msafree4(I,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u8_aofa_a00(A))) ) => ! [J] : ( m2_subset_1(J,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ! [K] : ( ( v3_aofa_a01(K,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(K,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) ) => ! [L] : ( ( v3_aofa_a01(L,A,B,C,u4_aofa_a00(A,B,C,E),F) & m1_msafree4(L,u1_struct_0(A),u4_aofa_a00(A,B,C,E),k1_msafree4(u1_struct_0(A),u4_aofa_a00(A,B,C,E),F)) ) => ! [M] : ( ( ~ v2_struct_0(M) & v2_unialg_1(M) & v3_unialg_1(M) & v4_unialg_1(M) & v3_aofa_000(M) & v4_aofa_000(M) & v5_aofa_000(M) & v6_aofa_000(M) & ~ v10_aofa_000(M) & v11_aofa_000(M) & v12_aofa_000(M) & v5_aofa_a01(M,A,B,C,E) & l3_aofa_a00(M,A,C,u4_aofa_a00(A,B,C,E)) ) => ! [N] : ( m1_aofa_000(N,M,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),I,k2_aofa_a01(A,D))) => ( ( v7_aofa_a01(E,A,B,C) & v11_aofa_a00(E,A,B,C,D) & r2_tarski(N,k19_aofa_a00(A,B,C,D,E,M,u8_aofa_a00(A),I,k2_aofa_a01(A,D))) & v1_msafree4(B,u1_struct_0(A)) ) => ( v8_aofa_a01(C,A,B) | ! [O] : ( m1_subset_1(O,u1_struct_0(M)) => ( ! [P] : ( m2_subset_1(P,k4_autalg_1(u1_struct_0(A),u4_aofa_a00(A,B,C,E),u3_msualg_1(A,D)),k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E))) => ( k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,P,O),k36_aofa_a00(A)),H) = k1_funct_1(k1_msafree4(u1_struct_0(A),P,k36_aofa_a00(A)),H) & ! [Q] : ( ( v1_relat_1(Q) & v5_relat_1(Q,u1_struct_0(k12_aofa_a01)) & v1_funct_1(Q) & v1_exchsort(Q) ) => ( Q = k1_funct_1(k1_msafree4(u1_struct_0(A),P,k36_aofa_a00(A)),H) => ( ( Q != k1_xboole_0 => ( r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,P,O),F),K),k9_xtuple_0(Q)) & r2_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,P,O),F),L),k9_xtuple_0(Q)) ) ) & ( k6_exchsort(k12_aofa_a01,Q) != k1_xboole_0 => r2_hidden(k4_tarski(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,P,O),F),K),k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,P,O),F),L)),k6_exchsort(k12_aofa_a01,Q)) ) & ~ ( k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,P,O),u8_aofa_a00(A)),I) = k7_margrel1 & k6_exchsort(k12_aofa_a01,Q) = k1_xboole_0 ) & ( k6_exchsort(k12_aofa_a01,Q) != k1_xboole_0 => k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,P,O),u8_aofa_a00(A)),I) = k7_margrel1 ) ) ) ) ) ) => ! [P] : ( ( v1_relat_1(P) & v5_relat_1(P,u1_struct_0(k12_aofa_a01)) & v1_funct_1(P) & v1_finset_1(P) & v1_exchsort(P) & v2_exchsort(P,k5_numbers) ) => ( P = k1_funct_1(k1_msafree4(u1_struct_0(A),J,k36_aofa_a00(A)),H) => ( G = K | G = L | ( v5_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,J,k16_aofa_000(M,O,k13_aofa_000(M,k13_aofa_000(M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),M,F,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))))),k36_aofa_a00(A)),H),k12_aofa_a01) & m1_exchsort(k1_funct_1(k1_msafree4(u1_struct_0(A),k3_aofa_a01(A,B,C,E,I,D,M,N,J,k16_aofa_000(M,O,k13_aofa_000(M,k13_aofa_000(M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),M,F,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G))))),k36_aofa_a00(A)),H),P) & ( v15_aofa_000(O,M) => r6_aofa_000(M,k12_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E)),k13_aofa_a00(A,C,D,u4_aofa_a00(A,B,C,E),u8_aofa_a00(A),I,k2_aofa_a01(A,D)),k16_aofa_000(M,O,k13_aofa_000(M,k13_aofa_000(M,k11_aofa_a00(A,C,u4_aofa_a00(A,B,C,E),M,F,G,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,K)),k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)))),k13_aofa_a01(A,B,C,E,M,F,k38_aofa_a00(A,C,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),k36_aofa_a00(A),H),F,k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,L)),k4_aofa_a01(A,C,u4_aofa_a00(A,B,C,E),F,G)))),N,a_6_0_aofa_a01(A,B,C,D,E,H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t100_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( v24_aofa_l00(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) ) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ( ( r2_tarski(k16_aofa_l00(A,B,C,E,k13_aofa_l00(A,B,C,F,G)),D) & r2_tarski(k16_aofa_l00(A,B,C,F,H),D) ) => r2_tarski(k16_aofa_l00(A,B,C,E,k13_aofa_l00(A,B,C,H,G)),D) ) ) ) ) ) ) ) ) ) )).
fof(t100_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k5_bvfunc25(A,C,D)),k14_margrel1(A,k15_margrel1(A,k15_margrel1(A,B,C),D))) ) ) ) ) )).
fof(t100_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),B),B),k12_bvfunc_1(A)) ) ) ) )).
fof(t100_card_2,axiom,( ! [A] : ! [B] : ( ( v4_card_3(A) & v4_card_3(B) ) => v4_card_3(k5_xboole_0(A,B)) ) )).
fof(t100_card_3,axiom,( ! [A] : ( ( v4_funct_1(A) & v2_card_3(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,A) => k9_xtuple_0(B) = k9_xtuple_0(k10_card_3(A)) ) ) ) )).
fof(t100_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ~ ( B != C & ~ r1_chord(A,B,C) & ? [D] : ( m2_chord(D,A,B,C) & v4_chord(D,A,B,C) & ? [E] : ( m2_glib_000(E,A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) & ? [F] : ( m1_subset_1(F,k6_glib_000(E)) & B = F & ! [G] : ( m1_subset_1(G,k6_glib_000(A)) => ~ ( r2_tarski(G,k1_glib_002(E,F)) & ! [H] : ( m1_subset_1(H,k6_glib_000(A)) => ( r2_tarski(H,D) => r1_chord(A,G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t100_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_clvect_1(D,A) => ( ? [E] : ( m2_clvect_1(E,A,D) & r2_tarski(B,E) & r2_tarski(C,E) ) <=> r1_struct_0(D,k5_algstr_0(A,B,C)) ) ) ) ) ) )).
fof(t100_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( v1_xreal_0(G) => ( ( r1_fdiff_1(A,G) & r1_fdiff_1(B,G) & r1_fdiff_1(C,G) & r1_fdiff_1(D,G) & r1_fdiff_1(E,G) & r1_fdiff_1(F,G) ) => k8_euclid_8(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,D),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,F),G) = k7_euclid(3,k1_euclid_8(k3_xcmplx_0(k1_funct_1(D,G),k1_fdiff_1(A,G)),k3_xcmplx_0(k1_funct_1(E,G),k1_fdiff_1(B,G)),k3_xcmplx_0(k1_funct_1(F,G),k1_fdiff_1(C,G))),k1_euclid_8(k3_xcmplx_0(k1_funct_1(A,G),k1_fdiff_1(D,G)),k3_xcmplx_0(k1_funct_1(B,G),k1_fdiff_1(E,G)),k3_xcmplx_0(k1_funct_1(C,G),k1_fdiff_1(F,G)))) ) ) ) ) ) ) ) ) )).
fof(t100_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ~ ( ~ r2_tarski(B,C) & v1_euclid_4(C,A) & ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ~ ( r2_tarski(B,D) & r1_tarski(C,D) & v1_euclidlp(D,A) ) ) ) ) ) ) )).
fof(t100_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => k4_finseq_1(k15_finseq_1(A)) = k4_finseq_1(k14_finseq_1(k9_xtuple_0(A))) ) )).
fof(t100_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_card_1(B,2) & m2_finseq_1(B,A) ) => ? [C] : ( m1_subset_1(C,A) & ? [D] : ( m1_subset_1(D,A) & B = k10_finseq_1(C,D) ) ) ) ) )).
fof(t100_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ! [C] : ! [D] : ( ( v2_funct_1(A) & k10_xtuple_0(A) = k1_enumset1(B,C,D) & v2_funct_1(k11_finseq_1(B,C,D)) ) => k3_finseq_1(A) = 3 ) ) )).
fof(t100_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_zfmisc_1(B) & v1_finseq_6(B,A) & m2_finseq_1(B,A) ) => k10_xtuple_0(k2_rfinseq(A,1,B)) = k10_xtuple_0(B) ) ) )).
fof(t100_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( ( r2_tarski(k2_flang_1(A),B) & r2_tarski(k2_flang_1(A),C) ) => ( r1_tarski(k2_flang_2(A,B),k6_flang_1(A,B,C)) & r1_tarski(k2_flang_2(A,B),k6_flang_1(A,C,B)) ) ) ) ) )).
fof(t100_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : k3_relat_1(k5_relat_1(A,C),k5_relat_1(B,D)) = k5_relat_1(k3_relat_1(A,B),k3_xboole_0(C,k8_relat_1(A,D))) ) ) )).
fof(t100_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ( ( B = k1_xboole_0 => A = k1_xboole_0 ) => k3_subset_1(A,k8_relset_1(A,B,C,D)) = k8_relset_1(A,B,C,k3_subset_1(B,D)) ) ) ) )).
fof(t100_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ~ ( B != C & r2_hidden(B,k10_xtuple_0(k6_funct_4(A,B,C))) ) ) )).
fof(t100_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : r1_tarski(k10_xtuple_0(k1_funct_7(A,B,C)),k2_xboole_0(k10_xtuple_0(A),k1_tarski(C))) ) )).
fof(t100_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(A,u1_struct_0(k37_gfacirc1(A,B,C))) & r2_tarski(B,u1_struct_0(k37_gfacirc1(A,B,C))) & r2_tarski(C,u1_struct_0(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),u1_struct_0(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),C),k4_gfacirc1),u1_struct_0(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),u1_struct_0(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),u1_struct_0(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),u1_struct_0(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)),k18_twoscomp),u1_struct_0(k37_gfacirc1(A,B,C))) ) )).
fof(t100_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( r2_tarski(C,k14_glib_001(A,B)) <=> ? [D] : ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) & ~ r1_xxreal_0(k3_finseq_1(B),D) & k1_funct_1(B,k1_nat_1(D,1)) = C ) ) ) ) )).
fof(t100_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => k11_group_2(A,D,k12_group_2(A,C,B)) = k12_group_2(A,C,k11_group_2(A,D,B)) ) ) ) ) )).
fof(t100_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k8_group_3(A,k6_domain_1(u1_struct_0(A),B)) = a_2_2_group_3(A,B) ) ) )).
fof(t100_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),1) & D != C & v9_group_9(D,A,B) & r4_group_9(A,B,D,C) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(E,k4_finseq_1(C)) & r2_tarski(E,k4_finseq_1(D)) & r2_tarski(k1_nat_1(E,1),k4_finseq_1(C)) & r2_tarski(k1_nat_1(E,1),k4_finseq_1(D)) & r2_tarski(F,k4_finseq_1(D)) & ~ r1_xxreal_0(F,k1_nat_1(E,1)) & k1_funct_1(C,E) = k1_funct_1(D,E) & k1_funct_1(C,k1_nat_1(E,1)) != k1_funct_1(D,k1_nat_1(E,1)) & k1_funct_1(C,k1_nat_1(E,1)) = k1_funct_1(D,F) ) ) ) ) ) ) ) )).
fof(t100_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k22_sin_cos)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k1_square_1(k1_funct_1(k22_sin_cos,k2_seq_4(A))),k1_square_1(k1_funct_1(k22_sin_cos,k3_seq_4(A))))) ) )).
fof(t100_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & k3_subset_1(u1_struct_0(k15_euclid(2)),B) = k6_domain_1(u1_struct_0(k15_euclid(2)),k4_struct_0(k15_euclid(2))) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ~ ( C = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) & v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),B)) ) ) ) ) ) )).
fof(t100_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k17_euclid(B) = F & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(G,k18_euclid(D)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(k18_euclid(B),H) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t100_jordan2c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ( ( k17_euclid(A) = k18_euclid(B) & k4_xcmplx_0(k18_euclid(A)) = k17_euclid(B) & A = k1_rlvect_1(k15_euclid(2),B,C) ) => ( k17_euclid(A) = k5_numbers & k18_euclid(A) = k5_numbers & A = k4_struct_0(k15_euclid(2)) ) ) ) ) ) )).
fof(t100_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v3_limfunc1(B) & v3_limfunc1(C) & k4_limfunc1(B) = k4_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,D) & r2_hidden(E,k1_relset_1(k1_numbers,A)) ) ) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ( ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k3_limfunc1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k3_limfunc1(D))) & r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k3_limfunc1(D))) ) | ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k3_limfunc1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k3_limfunc1(D))) & r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k3_limfunc1(D))) ) ) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(D))) => ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(A,E)) & r1_xxreal_0(k1_funct_1(A,E),k1_funct_1(C,E)) ) ) ) ) ) | ( v3_limfunc1(A) & k4_limfunc1(A) = k4_limfunc1(B) ) ) ) ) ) ) )).
fof(t100_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & v1_matrix_1(B,A) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ( r1_tarski(k2_zfmisc_1(C,C),k2_matrix_0(B)) => v1_matrix_1(k6_matrix13(u1_struct_0(A),B,C,C),A) ) ) ) ) )).
fof(t100_member_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k13_member_1(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(k3_xcmplx_0(A,C),k3_xcmplx_0(A,D),k3_xcmplx_0(B,C),k3_xcmplx_0(B,D)) ) ) ) ) )).
fof(t100_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ? [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) & E = k1_relset_1(A,D) & r1_mesfunc1(A,B,D,E) ) => ( r1_mesfunc5(A,B,C,D) <=> r1_mesfunc5(A,B,C,k9_mesfunc1(A,D)) ) ) ) ) ) ) )).
fof(t100_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r3_mesfunc6(A,B,C,D) & r3_mesfunc6(A,B,C,E) ) => r3_mesfunc6(A,B,C,k3_valued_1(A,k1_numbers,k1_numbers,D,E)) ) ) ) ) ) ) )).
fof(t100_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( ( v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) ) => ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,F))) => ( ( v9_msafree5(G,A,C,F,B,D) & v9_msafree5(G,A,C,F,B,E) ) => k4_msafree5(A,F,F,k22_msafree5(A,C,F,B,D,E),G) = G ) ) ) ) ) ) ) ) )).
fof(t100_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r13_ncfcont1(A,B,C,E) & r13_ncfcont1(A,B,D,F) ) => r13_ncfcont1(A,B,k3_xboole_0(C,D),k3_vfunct_2(u1_struct_0(A),B,E,F)) ) ) ) ) ) )).
fof(t100_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r4_pboole(A,B,C) & r2_pboole(A,B,D) ) => r4_pboole(A,D,C) ) ) ) ) )).
fof(t100_prepower,axiom,( ! [A] : ( v1_int_1(A) => ( A != k5_numbers => k3_prepower(k5_numbers,A) = k5_numbers ) ) )).
fof(t100_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_tarski(A,B) => r1_tarski(k6_relat_1(A,C),k6_relat_1(B,C)) ) ) )).
fof(t100_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(C))) => ! [E] : ( ( ~ v2_struct_0(E) & l1_rewrite3(E,D) ) => ( ~ r2_tarski(k2_flang_1(C),k10_xtuple_0(k9_xtuple_0(u1_rewrite3(D,E)))) => ( r4_rewrite3(C,D,E,A,k2_flang_1(C),B) <=> A = B ) ) ) ) ) )).
fof(t100_rvsum_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k19_rvsum_1(k11_finseq_1(A,B,C)) = k3_xcmplx_0(k3_xcmplx_0(A,B),C) ) ) ) )).
fof(t100_scmfsa_2,axiom,( k8_struct_0(k1_scmfsa_2) = k4_subset_1(u1_struct_0(k1_scmfsa_2),k2_scmfsa_2,k3_scmfsa_2) )).
fof(t100_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( ( r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,E),F))) | k6_scmpds_4(k4_scmpds_6(E,F,C,D),B,A) = k1_funct_4(k6_scmpds_4(C,B,A),k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),2))) ) ) ) ) ) ) ) ) )).
fof(t100_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ~ ( r2_tarski(k2_tarski(k4_tarski(B,k3_tarski(A)),C),k12_scmyciel(A)) & B = C ) ) )).
fof(t100_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r4_semi_af1(A,B,G,C,H,F) & r4_semi_af1(A,B,G,D,I,F) & r4_semi_af1(A,C,H,E,J,F) ) => r2_analoaf(A,D,E,I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t100_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => r1_xxreal_0(k6_xcmplx_0(k20_seq_4(B),k20_seq_4(C)),k20_seq_4(k13_seq_4(A,B,C))) ) ) ) )).
fof(t100_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,D,C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,D),B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,D,D),B))) ) ) ) ) )).
fof(t100_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ ( ~ r1_xxreal_0(k4_sin_cos6(A),k5_numbers) & ~ r1_xxreal_0(k28_sin_cos,k4_sin_cos6(A)) ) ) ) )).
fof(t100_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k2_sin_cos9),k7_xcmplx_0(1,2)))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => ( k1_funct_1(B,C) = k3_xcmplx_0(2,C) & ~ r1_xxreal_0(k1_funct_1(B,C),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(B,C)) ) ) ) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k2_sin_cos9),k7_xcmplx_0(1,2)),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k2_sin_cos9),k7_xcmplx_0(1,2)),A),C) = k4_xcmplx_0(k7_xcmplx_0(1,k2_xcmplx_0(1,k1_square_1(k3_xcmplx_0(2,C))))) ) ) ) ) ) ) )).
fof(t100_sincos10,axiom,( k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k4_sincos10,k1_rcomp_1(1,k3_square_1(2)))) = k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k7_xcmplx_0(k28_sin_cos,2)) )).
fof(t100_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_tdlat_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k8_tdlat_1(A)))) => ( C = B => k15_lattice3(k8_tdlat_1(A),C) = k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) ) ) ) ) ) )).
fof(t100_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( u1_struct_0(C) = B => ( v1_funct_1(k2_tmap_1(A,k6_tmap_1(A,B),k7_tmap_1(A,B),C)) & v1_funct_2(k2_tmap_1(A,k6_tmap_1(A,B),k7_tmap_1(A,B),C),u1_struct_0(C),u1_struct_0(k6_tmap_1(A,B))) & v5_pre_topc(k2_tmap_1(A,k6_tmap_1(A,B),k7_tmap_1(A,B),C),C,k6_tmap_1(A,B)) & m1_subset_1(k2_tmap_1(A,k6_tmap_1(A,B),k7_tmap_1(A,B),C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k6_tmap_1(A,B))))) ) ) ) ) ) )).
fof(t100_xboole_1,axiom,( ! [A] : ! [B] : k4_xboole_0(A,B) = k5_xboole_0(A,k3_xboole_0(A,B)) )).
fof(t100_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k10_xboolean(A,k5_xboolean(A,B)) = k11_xboolean(B,A) ) ) )).
fof(t100_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(A,k7_xcmplx_0(1,B)) = k3_xcmplx_0(A,B) ) ) )).
fof(t100_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_tarski(k1_xxreal_1(C,D),k1_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t100_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( v1_xreal_0(A) => k4_xxreal_3(A,k3_xxreal_3(B,C)) = k3_xxreal_3(k4_xxreal_3(A,B),k4_xxreal_3(A,C)) ) ) ) ) )).
fof(t100_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k11_zf_lang(A,B),k10_zf_lang(B,A))) & r2_zf_model(C,k10_zf_lang(k11_zf_lang(A,B),k10_zf_lang(B,A))) ) ) ) ) ) )).
fof(t100_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(C,D)) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) )).
fof(t100_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k6_zmodul01(A,k3_zmodul01(A),k4_zmodul01(A)) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) )).
fof(t101_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => k1_abcmiz_1(k48_abcmiz_1(A,B)) = k48_abcmiz_1(A,B) ) ) )).
fof(t101_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_absred_0(B,A) & r3_absred_0(A,B,C) ) => B = C ) ) ) ) )).
fof(t101_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_aofa_000(E,A,B,C) => ! [F] : ( ( v15_aofa_000(F,A) & m1_subset_1(F,u1_struct_0(A)) ) => ! [G] : ( ( v15_aofa_000(G,A) & m1_subset_1(G,u1_struct_0(A)) ) => ( r4_aofa_000(A,k13_aofa_000(A,G,F),B,k2_binop_1(B,u1_struct_0(A),B,E,D,F),C,E) => r2_hidden(k4_tarski(D,k16_aofa_000(A,F,G)),k21_aofa_000(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t101_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( v24_aofa_l00(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) ) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ( ( r2_tarski(k16_aofa_l00(A,B,C,E,k14_aofa_l00(A,B,C,F,G)),D) & r2_tarski(k16_aofa_l00(A,B,C,G,H),D) ) => r2_tarski(k16_aofa_l00(A,B,C,E,k14_aofa_l00(A,B,C,F,H)),D) ) ) ) ) ) ) ) ) ) )).
fof(t101_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k6_bvfunc25(A,B,k5_bvfunc25(A,C,D)),k14_margrel1(A,k5_bvfunc_1(A,k5_bvfunc_1(A,B,k14_margrel1(A,C)),k14_margrel1(A,D)))) ) ) ) ) )).
fof(t101_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,E)),k5_bvfunc_1(A,k1_bvfunc_1(A,D),k1_bvfunc_1(A,E))),k5_bvfunc_1(A,k1_bvfunc_1(A,B),k1_bvfunc_1(A,C))),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t101_card_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ~ ( ~ v1_finset_1(k9_xtuple_0(A)) & v1_finset_1(k10_xtuple_0(A)) & ! [B] : ~ ( r2_hidden(B,k10_xtuple_0(A)) & ~ v1_finset_1(k8_relat_1(A,k1_tarski(B))) ) ) ) )).
fof(t101_card_3,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,k9_xtuple_0(k10_card_3(A))) ) => r2_tarski(k1_funct_1(B,C),k1_funct_1(k10_card_3(A),C)) ) ) ) )).
fof(t101_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ~ ( B != C & ~ r1_chord(A,B,C) & ? [D] : ( m2_chord(D,A,B,C) & v4_chord(D,A,B,C) & ? [E] : ( m2_glib_000(E,A,k6_subset_1(k6_glib_000(A),D),k21_glib_000(A,k6_subset_1(k6_glib_000(A),D))) & ? [F] : ( m1_subset_1(F,k6_glib_000(E)) & B = F & ? [G] : ( m1_subset_1(G,k6_glib_000(A)) & ? [H] : ( m1_subset_1(H,k6_glib_000(A)) & r2_tarski(G,D) & r2_tarski(H,D) & ! [I] : ( m1_subset_1(I,k6_glib_000(A)) => ~ ( r2_tarski(I,k1_glib_002(E,F)) & r1_chord(A,I,G) & r1_chord(A,I,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t101_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_clvect_1(C,A) => ! [D] : ( m2_clvect_1(D,A,C) => ! [E] : ( m2_clvect_1(E,A,C) => ( ( r2_tarski(B,D) & r2_tarski(B,E) ) => D = E ) ) ) ) ) ) )).
fof(t101_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( v1_xreal_0(G) => ( ( r1_fdiff_1(A,G) & r1_fdiff_1(B,G) & r1_fdiff_1(C,G) & r1_fdiff_1(D,k1_funct_1(A,G)) & r1_fdiff_1(E,k1_funct_1(B,G)) & r1_fdiff_1(F,k1_funct_1(C,G)) ) => k8_euclid_8(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,D),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,E),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,F),G) = k1_euclid_8(k3_xcmplx_0(k1_fdiff_1(D,k1_funct_1(A,G)),k1_fdiff_1(A,G)),k3_xcmplx_0(k1_fdiff_1(E,k1_funct_1(B,G)),k1_fdiff_1(B,G)),k3_xcmplx_0(k1_fdiff_1(F,k1_funct_1(C,G)),k1_fdiff_1(C,G))) ) ) ) ) ) ) ) ) )).
fof(t101_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ( ( r2_tarski(B,D) & r1_tarski(C,D) & v1_euclid_4(C,A) ) => ( r2_tarski(B,C) | v1_euclidlp(D,A) ) ) ) ) ) ) )).
fof(t101_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => k10_xtuple_0(A) = k10_xtuple_0(k15_finseq_1(A)) ) )).
fof(t101_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => r2_tarski(k10_finseq_1(B,C),k4_finseq_2(2,A)) ) ) ) )).
fof(t101_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ! [C] : ! [D] : ( ( v2_funct_1(A) & k10_xtuple_0(A) = k1_enumset1(B,C,D) ) => ( B = C | C = D | B = D | k3_finseq_1(A) = 3 ) ) ) )).
fof(t101_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => r1_tarski(k10_xtuple_0(k2_rfinseq(A,1,C)),k10_xtuple_0(k1_finseq_6(A,C,B))) ) ) ) )).
fof(t101_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( r1_tarski(B,k6_flang_1(A,B,k2_flang_2(A,C))) & r1_tarski(B,k6_flang_1(A,k2_flang_2(A,C),B)) ) ) ) )).
fof(t101_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( r1_tarski(C,k9_xtuple_0(k3_relat_1(A,B))) <=> ( r1_tarski(C,k9_xtuple_0(A)) & r1_tarski(k7_relat_1(A,C),k9_xtuple_0(B)) ) ) ) ) )).
fof(t101_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,D))) ) => ( ( r1_tarski(B,A) & r1_tarski(k7_relset_1(A,D,E,B),C) ) => ( v1_funct_1(k2_partfun1(A,D,E,B)) & v1_funct_2(k2_partfun1(A,D,E,B),B,C) & m1_subset_1(k2_partfun1(A,D,E,B),k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) ) ) )).
fof(t101_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_hidden(B,k10_xtuple_0(A)) => r2_hidden(C,k10_xtuple_0(k6_funct_4(A,B,C))) ) ) )).
fof(t101_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : r1_tarski(k10_xtuple_0(A),k2_xboole_0(k10_xtuple_0(k1_funct_7(A,B,C)),k1_tarski(k1_funct_1(A,B)))) ) )).
fof(t101_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),k3_msafree2(k37_gfacirc1(A,B,C))) & r2_tarski(k36_gfacirc1(A,B,C),k3_msafree2(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k3_msafree2(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k3_msafree2(k37_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),k3_msafree2(k37_gfacirc1(A,B,C))) & r2_tarski(k33_gfacirc1(A,B,C),k3_msafree2(k37_gfacirc1(A,B,C))) ) )).
fof(t101_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k2_relset_1(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B) = k2_xboole_0(k13_glib_001(A,B),k14_glib_001(A,B)) ) ) )).
fof(t101_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => k2_group_2(A,k12_group_2(A,C,k8_group_2(A,D)),B) = k12_group_2(A,C,k12_group_2(A,D,B)) ) ) ) ) )).
fof(t101_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v8_struct_0(A) => v1_finset_1(k8_group_3(A,B)) ) ) ) )).
fof(t101_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ! [E] : ( ( v8_group_9(E,A,B) & m2_finseq_1(E,k6_group_9(A,B)) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(F,k4_finseq_1(E)) & r2_tarski(G,k4_finseq_1(E)) & r1_xxreal_0(F,G) & C = k1_funct_1(E,F) & D = k1_funct_1(E,G) ) => m1_group_9(D,A,C) ) ) ) ) ) ) ) )).
fof(t101_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos))) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos),k3_seq_4(A))) ) )).
fof(t101_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ~ ( r2_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,k7_jgraph_4(A)) & v5_pre_topc(B,k15_euclid(2),k15_euclid(2)) ) ) ) ) )).
fof(t101_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k17_euclid(B) = F & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(G,k18_euclid(D)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(k18_euclid(B),H) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t101_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v3_limfunc1(B) & v3_limfunc1(C) & k4_limfunc1(B) = k4_limfunc1(C) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( r1_tarski(k3_limfunc1(D),k9_subset_1(k1_numbers,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C)),k1_relset_1(k1_numbers,A))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k3_limfunc1(D)) => ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(A,E)) & r1_xxreal_0(k1_funct_1(A,E),k1_funct_1(C,E)) ) ) ) ) ) | ( v3_limfunc1(A) & k4_limfunc1(A) = k4_limfunc1(B) ) ) ) ) ) ) )).
fof(t101_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & v1_matrix_1(B,A) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( C = a_2_1_matrix13(A,B) => k8_matrix13(A,B) = k1_card_1(C) ) ) ) )).
fof(t101_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k14_member_1(A,B) = a_2_6_member_1(A,B) ) ) )).
fof(t101_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfunc5(A,B,C,D) => r1_xxreal_0(k3_extreal1(k7_mesfunc5(A,B,C,D)),k7_mesfunc5(A,B,C,k9_mesfunc1(A,D))) ) ) ) ) ) )).
fof(t101_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ~ ( r3_mesfunc6(A,B,C,D) & r3_mesfunc6(A,B,C,E) & ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k9_subset_1(A,k1_relset_1(A,D),k1_relset_1(A,E)) & k1_mesfunc6(A,B,C,k3_valued_1(A,k1_numbers,k1_numbers,D,E)) = k3_supinf_2(k1_mesfunc6(A,B,C,k2_partfun1(A,k1_numbers,D,F)),k1_mesfunc6(A,B,C,k2_partfun1(A,k1_numbers,E,F))) ) ) ) ) ) ) ) ) )).
fof(t101_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( ( v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) ) => r8_pboole(u1_struct_0(A),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k5_msafree5(A,C,F)),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),u3_msualg_1(A,F),k5_msafree5(A,C,F),k22_msafree5(A,C,F,B,D,E))) ) ) ) ) ) ) )).
fof(t101_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r14_ncfcont1(A,B,C,E) & r14_ncfcont1(A,B,D,F) ) => r14_ncfcont1(A,B,k3_xboole_0(C,D),k6_vfunct_1(u1_struct_0(A),B,E,F)) ) ) ) ) ) )).
fof(t101_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ( r2_pboole(A,B,C) & r2_pboole(A,D,E) & r4_pboole(A,B,D) ) => r4_pboole(A,C,E) ) ) ) ) ) )).
fof(t101_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( r1_tarski(B,C) => r1_tarski(k6_relat_1(A,B),k6_relat_1(A,C)) ) ) ) )).
fof(t101_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_afinsq_1(C))) => ! [F] : ( ( ~ v2_struct_0(F) & l1_rewrite3(F,E) ) => ( r4_rewrite3(C,E,F,A,k3_flang_1(C,D),B) => ( r2_tarski(k2_flang_1(C),k10_xtuple_0(k9_xtuple_0(u1_rewrite3(E,F)))) | r2_rewrite3(C,E,F,A,k3_flang_1(C,D),B,k2_flang_1(C)) ) ) ) ) ) ) )).
fof(t101_rvsum_1,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k4_finseq_2(k5_numbers,k1_numbers)) => k21_rvsum_1(A) = 1 ) )).
fof(t101_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( A != B & k4_scmfsa_2(A) = k4_scmfsa_2(B) ) ) ) )).
fof(t101_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_compos_1(D,k1_scmpds_2) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,E),F))) & r1_scmpds_6(D,B,A) & r2_scmpds_6(D,B,A) ) => k6_scmpds_4(k4_scmpds_6(E,F,C,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) = k1_funct_4(k6_scmpds_4(D,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),2))) ) ) ) ) ) ) ) )).
fof(t101_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ( ( r2_tarski(C,k3_tarski(A)) & r2_tarski(k2_tarski(k4_tarski(B,k3_tarski(A)),C),k12_scmyciel(A)) ) => r2_tarski(k2_tarski(B,C),A) ) ) )).
fof(t101_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_semi_af1(A,B,C,D) & r5_semi_af1(A,B,D) ) ) ) ) )).
fof(t101_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => r1_xxreal_0(k6_xcmplx_0(k20_seq_4(B),k20_seq_4(C)),k20_seq_4(k17_seq_4(A,B,C))) ) ) ) )).
fof(t101_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,B) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),C),B) ) ) ) )).
fof(t101_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) ) => k4_sin_cos6(A) = k6_xcmplx_0(k28_sin_cos,k4_sin_cos6(k4_xcmplx_0(A))) ) ) )).
fof(t101_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(B,D) = 1 ) ) & C = k1_taylor_1(2) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D) = k3_xcmplx_0(2,D) ) ) ) ) ) ) ) )).
fof(t101_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) & k5_sincos10(A) = k5_numbers ) => A = 1 ) & ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) & k5_sincos10(A) = k7_xcmplx_0(k28_sin_cos,4) ) => A = k3_square_1(2) ) ) ) )).
fof(t101_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_tdlat_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k8_tdlat_1(A)))) => ( C = B => ( ( C != k1_xboole_0 => k16_lattice3(k8_tdlat_1(A),C) = k2_pre_topc(A,k1_tops_1(A,k6_setfam_1(u1_struct_0(A),B))) ) & ( C = k1_xboole_0 => k16_lattice3(k8_tdlat_1(A),C) = k2_struct_0(A) ) ) ) ) ) ) ) )).
fof(t101_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> ( v1_funct_1(k7_tmap_1(A,B)) & v1_funct_2(k7_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B))) & v5_pre_topc(k7_tmap_1(A,B),A,k6_tmap_1(A,B)) & m1_subset_1(k7_tmap_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B))))) ) ) ) ) )).
fof(t101_xboole_1,axiom,( ! [A] : ! [B] : k5_xboole_0(A,B) = k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) )).
fof(t101_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( k4_xboolean(A,B) = k2_xboolean => ( A = k2_xboolean & B = k2_xboolean ) ) ) ) )).
fof(t101_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(k7_xcmplx_0(A,B),C) = k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,B),C),A) ) ) ) )).
fof(t101_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,C) & r1_tarski(k4_xxreal_1(C,D),k2_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t101_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,k5_numbers) ) => r1_xxreal_0(k4_xxreal_3(B,C),k4_xxreal_3(A,C)) ) ) ) ) )).
fof(t101_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => r2_zf_model(D,k10_zf_lang(k10_zf_lang(A,B),k10_zf_lang(k10_zf_lang(B,C),k10_zf_lang(A,C)))) ) ) ) ) )).
fof(t101_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_tarski(A,C) & r1_tarski(B,D) ) => k3_xboole_0(k2_zfmisc_1(A,D),k2_zfmisc_1(C,B)) = k2_zfmisc_1(A,B) ) )).
fof(t101_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => k6_zmodul01(A,k4_zmodul01(A),B) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) )).
fof(t102_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => ! [C] : ( ( v8_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => k47_abcmiz_1(A,k43_abcmiz_1(A,B,C)) = k4_subset_1(k2_abcmiz_1,k45_abcmiz_1(A,C),k47_abcmiz_1(A,B)) ) ) ) )).
fof(t102_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_absred_0(B,A) => r9_absred_0(A,B,B) ) ) ) )).
fof(t102_aofa_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & v3_freealg(C) & v3_aofa_000(C) & v4_aofa_000(C) & v5_aofa_000(C) & v6_aofa_000(C) & v12_aofa_000(C) & l1_unialg_1(C) ) => ! [D] : ( m1_aofa_000(D,C,A,B) => ! [E] : ( m1_aofa_000(E,C,A,B) => ( r2_relset_1(k2_zfmisc_1(A,u1_struct_0(C)),A,k2_partfun1(k2_zfmisc_1(A,u1_struct_0(C)),A,D,k2_zfmisc_1(A,k18_aofa_000(C))),k2_partfun1(k2_zfmisc_1(A,u1_struct_0(C)),A,E,k2_zfmisc_1(A,k18_aofa_000(C)))) => r2_relset_1(A,u1_struct_0(C),k21_aofa_000(C,A,B,D),k21_aofa_000(C,A,B,E)) ) ) ) ) ) ) )).
fof(t102_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( v24_aofa_l00(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) ) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ( ( r2_tarski(k16_aofa_l00(A,B,C,E,k14_aofa_l00(A,B,C,F,G)),D) & r2_tarski(k16_aofa_l00(A,B,C,F,H),D) ) => r2_tarski(k16_aofa_l00(A,B,C,E,k14_aofa_l00(A,B,C,H,G)),D) ) ) ) ) ) ) ) ) ) )).
fof(t102_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k15_margrel1(A,B,k5_bvfunc25(A,B,C)),k15_margrel1(A,B,k14_margrel1(A,C))) ) ) ) )).
fof(t102_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k9_bvfunc_1(A,B,k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,B,D))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t102_card_2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ( ( r1_tarski(A,B) & k4_card_1(A) = k4_card_1(B) ) => A = B ) ) ) )).
fof(t102_card_3,axiom,( ! [A] : ( ( v4_funct_1(A) & v2_card_3(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,k9_xtuple_0(B)) ) => r2_tarski(k1_funct_1(B,C),k1_funct_1(k10_card_3(A),C)) ) ) ) )).
fof(t102_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & ~ v4_glib_000(A) & v6_chord(A) ) => ~ ( ~ v2_chord(A) & ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ~ ( B != C & ~ r1_chord(A,B,C) & v3_chord(B,A) & v3_chord(C,A) ) ) ) ) ) )).
fof(t102_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k2_normsp_0(A,k4_struct_0(A)) = k5_numbers ) )).
fof(t102_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( v1_xreal_0(G) => ( ( r1_fdiff_1(A,G) & r1_fdiff_1(B,G) & r1_fdiff_1(C,G) & r1_fdiff_1(D,G) & r1_fdiff_1(E,G) & r1_fdiff_1(F,G) ) => ( k1_funct_1(D,G) = k5_numbers | k1_funct_1(E,G) = k5_numbers | k1_funct_1(F,G) = k5_numbers | k8_euclid_8(k3_rfunct_1(k1_numbers,k1_numbers,A,D),k3_rfunct_1(k1_numbers,k1_numbers,B,E),k3_rfunct_1(k1_numbers,k1_numbers,C,F),G) = k1_euclid_8(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A,G),k1_funct_1(D,G)),k3_xcmplx_0(k1_fdiff_1(D,G),k1_funct_1(A,G))),k1_square_1(k1_funct_1(D,G))),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B,G),k1_funct_1(E,G)),k3_xcmplx_0(k1_fdiff_1(E,G),k1_funct_1(B,G))),k1_square_1(k1_funct_1(E,G))),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C,G),k1_funct_1(F,G)),k3_xcmplx_0(k1_fdiff_1(F,G),k1_funct_1(C,G))),k1_square_1(k1_funct_1(F,G)))) ) ) ) ) ) ) ) ) ) )).
fof(t102_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ( ( v1_euclid_4(C,A) & r2_tarski(B,D) & r1_tarski(C,D) & r2_tarski(B,E) & r1_tarski(C,E) ) => ( r2_tarski(B,C) | D = E ) ) ) ) ) ) ) )).
fof(t102_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_finseq_2(3,A) = a_1_2_finseq_2(A) ) )).
fof(t102_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ~ ( ~ v1_xboole_0(B) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ~ ( C = k1_funct_1(B,1) & r2_relset_1(k4_ordinal1,A,B,k8_finseq_1(A,k12_finseq_1(A,C),D)) ) ) ) ) ) ) )).
fof(t102_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( r2_tarski(C,k6_subset_1(k10_xtuple_0(D),k10_xtuple_0(k1_finseq_5(A,D,B)))) => k1_finseq_6(A,k1_finseq_6(A,D,B),C) = k1_finseq_6(A,D,C) ) ) ) ) ) )).
fof(t102_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(A))) => ( ( r1_tarski(B,k2_flang_2(A,D)) & r1_tarski(C,k2_flang_2(A,D)) ) => r1_tarski(k6_flang_1(A,B,C),k1_flang_2(A,D,k5_numbers,2)) ) ) ) ) )).
fof(t102_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( r2_tarski(C,k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B,C),A) ) ) )).
fof(t102_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r1_tarski(D,E) => r1_tarski(k6_funct_2(A,B,C,D),k6_funct_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(t102_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : k6_funct_4(A,B,B) = A ) )).
fof(t102_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_hidden(B,k9_xtuple_0(A)) => r2_hidden(C,k10_xtuple_0(k1_funct_7(A,B,C))) ) ) )).
fof(t102_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( C != k4_tarski(k10_finseq_1(A,B),k4_gfacirc1) & A != k4_tarski(k10_finseq_1(B,C),k3_gfacirc1) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & ~ ( r2_tarski(A,k2_msafree2(k37_gfacirc1(A,B,C))) & r2_tarski(B,k2_msafree2(k37_gfacirc1(A,B,C))) & r2_tarski(C,k2_msafree2(k37_gfacirc1(A,B,C))) ) ) )).
fof(t102_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k4_glib_001(A,B) = k3_glib_001(A,C) => k14_glib_001(A,k7_glib_001(A,B,C)) = k4_subset_1(k7_glib_000(A),k14_glib_001(A,B),k14_glib_001(A,C)) ) ) ) ) )).
fof(t102_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_group_2(C,A) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => k11_group_2(A,C,B) = k12_group_2(A,C,B) ) ) ) ) )).
fof(t102_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( r5_group_3(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_group_2(A,C,k6_group_3(A,B,D)) ) ) ) ) ) )).
fof(t102_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ( r2_tarski(C,k10_xtuple_0(k20_group_9(A,B,D))) => ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v2_group_9(C,A) & v3_group_9(C,A) & l1_group_9(C,A) ) ) ) ) )).
fof(t102_integra8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k16_sin_cos))) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos),k3_seq_4(A))) ) )).
fof(t102_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ v2_funct_1(k7_jgraph_4(A)) ) ) )).
fof(t102_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k17_euclid(B) = F & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(G,k18_euclid(C)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t102_jordan2c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => v2_tops_1(k3_topreal1(2,A),k15_euclid(2)) ) )).
fof(t102_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v6_limfunc1(B) & v6_limfunc1(C) & k5_limfunc1(B) = k5_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(D,E) & r2_hidden(E,k1_relset_1(k1_numbers,A)) ) ) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ( ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k10_prob_1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k10_prob_1(D))) & r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k10_prob_1(D))) ) | ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k10_prob_1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k10_prob_1(D))) & r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(D)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k10_prob_1(D))) ) ) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(D))) => ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(A,E)) & r1_xxreal_0(k1_funct_1(A,E),k1_funct_1(C,E)) ) ) ) ) ) | ( v6_limfunc1(A) & k5_limfunc1(A) = k5_limfunc1(B) ) ) ) ) ) ) )).
fof(t102_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_prvect_1(B,A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k6_prvect_1(B,A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k6_prvect_1(B,A))) => ! [G] : ( m2_finseq_2(G,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => ! [H] : ( m2_finseq_2(H,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => ! [I] : ( m2_finseq_2(I,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => ( u1_struct_0(k6_prvect_1(B,A)) = k4_finseq_2(A,u1_struct_0(B)) & k4_struct_0(k6_prvect_1(B,A)) = k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B)) & ( ( H = E & I = F ) => k4_fvsum_1(A,B,H,I) = k1_algstr_0(k6_prvect_1(B,A),E,F) ) & ( G = D => k10_fvsum_1(A,B,G,C) = k3_vectsp_1(B,k6_prvect_1(B,A),C,D) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t102_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r2_hidden(C,A) & r2_hidden(D,B) ) => r2_hidden(k6_xxreal_3(C,D),k14_member_1(A,B)) ) ) ) ) ) )).
fof(t102_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( k1_relset_1(A,D) = k1_relset_1(A,E) & r1_mesfunc5(A,B,C,E) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,k1_relset_1(A,D)) => r1_xxreal_0(k3_extreal1(k12_supinf_2(D,F)),k12_supinf_2(E,F)) ) ) ) => ( ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k1_relset_1(A,D) & r1_mesfunc1(A,B,D,F) ) ) | ( r1_mesfunc5(A,B,C,D) & r1_xxreal_0(k7_mesfunc5(A,B,C,k9_mesfunc1(A,D)),k7_mesfunc5(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t102_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( r3_mesfunc6(A,B,C,D) => ( r3_mesfunc6(A,B,C,k26_valued_1(A,k1_numbers,D,E)) & k1_mesfunc6(A,B,C,k26_valued_1(A,k1_numbers,D,E)) = k4_xxreal_3(E,k1_mesfunc6(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(t102_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( ( v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) ) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),u3_msualg_1(A,F),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),B)) => k1_msafree4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),B),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),B),G) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,F),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k5_msafree5(A,C,F)),B),G) ) ) ) ) ) ) ) )).
fof(t102_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( r15_ncfcont1(B,A,C,E) & r15_ncfcont1(B,A,D,F) ) => r15_ncfcont1(B,A,k3_xboole_0(C,D),k3_vfunct_2(u1_struct_0(B),A,E,F)) ) ) ) ) ) )).
fof(t102_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r4_pboole(A,B,k3_pboole(A,C,D)) => ( r4_pboole(A,B,C) & r4_pboole(A,B,D) ) ) ) ) ) )).
fof(t102_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ! [D] : ( v1_relat_1(D) => ( ( r1_tarski(C,D) & r1_tarski(A,B) ) => r1_tarski(k6_relat_1(A,C),k6_relat_1(B,D)) ) ) ) )).
fof(t102_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k8_afinsq_1(E))) => ! [G] : ( ( ~ v2_struct_0(G) & l1_rewrite3(G,F) ) => ( ( v2_rewrite3(G,E,F) & r4_rewrite3(E,F,G,A,B,C) & r4_rewrite3(E,F,G,A,B,D) ) => C = D ) ) ) ) )).
fof(t102_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => k19_rvsum_1(k5_finseq_2(k4_ordinal1,A,1)) = 1 ) )).
fof(t102_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ r2_tarski(B,k1_relset_1(u1_struct_0(k1_scmfsa_2),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,A))) ) ) )).
fof(t102_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_compos_1(D,k1_scmpds_2) & v2_scmpds_4(D) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k4_scmpds_6(E,F,C,D),B,A)) = k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),2) ) ) ) ) ) ) )).
fof(t102_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ( r2_tarski(k2_tarski(B,C),k1_scmyciel(A)) => r2_tarski(k2_tarski(k4_tarski(B,k3_tarski(A)),C),k12_scmyciel(A)) ) ) )).
fof(t102_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B != C & C != D & D != B ) ) ) ) )).
fof(t102_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ( k20_seq_4(k17_seq_4(A,B,C)) = k5_numbers <=> B = C ) ) ) ) )).
fof(t102_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) = C ) ) ) )).
fof(t102_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,B) & k2_xcmplx_0(k1_square_1(A),k1_square_1(B)) = 1 ) => k17_sin_cos(k4_sin_cos6(A)) = B ) ) ) )).
fof(t102_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2)))) & C = k1_taylor_1(2) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(B,D) = 1 ) ) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2)),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2)),A),D) = k7_xcmplx_0(D,k2_xcmplx_0(1,k1_square_1(D))) ) ) ) ) ) ) ) )).
fof(t102_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) & k6_sincos10(A) = k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos) ) => A = k4_xcmplx_0(k3_square_1(2)) ) & ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) & k6_sincos10(A) = k28_sin_cos ) => A = k4_xcmplx_0(1) ) ) ) )).
fof(t102_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_tdlat_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_tdlat_1(A)))) => ( C = B => ( ( C != k1_xboole_0 => k16_lattice3(k4_tdlat_1(A),C) = k2_pre_topc(A,k1_tops_1(A,k6_setfam_1(u1_struct_0(A),B))) ) & ( C = k1_xboole_0 => k16_lattice3(k4_tdlat_1(A),C) = k2_struct_0(A) ) ) ) ) ) ) ) )).
fof(t102_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ( u1_struct_0(k8_tmap_1(A,B)) = u1_struct_0(A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => u1_pre_topc(k8_tmap_1(A,B)) = k5_tmap_1(A,C) ) ) ) ) ) )).
fof(t102_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k4_xboole_0(A,k5_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k3_xboole_0(k3_xboole_0(A,B),C)) )).
fof(t102_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k3_xboolean(k4_xboolean(A,k3_xboolean(A))) = k2_xboolean ) )).
fof(t102_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(k7_xcmplx_0(1,A),k7_xcmplx_0(1,B)) = k7_xcmplx_0(1,k3_xcmplx_0(A,B)) ) ) )).
fof(t102_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k3_xcmplx_0(A,D),k3_xcmplx_0(C,B)) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(D,k5_numbers) | r1_xxreal_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) ) ) ) ) ) ) )).
fof(t102_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,C) & r1_tarski(k3_xxreal_1(C,D),k2_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t102_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(k5_numbers,C) & C != k2_xxreal_0 & r1_xxreal_0(k4_xxreal_3(A,C),k4_xxreal_3(B,C)) ) ) ) ) )).
fof(t102_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( ( r1_zf_model(D,E,k10_zf_lang(A,B)) & r1_zf_model(D,E,k10_zf_lang(B,C)) ) => r1_zf_model(D,E,k10_zf_lang(A,C)) ) ) ) ) ) ) )).
fof(t102_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( k2_zfmisc_1(k4_xboole_0(A,B),C) = k4_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) & k2_zfmisc_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) ) )).
fof(t102_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_zmodul01(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k6_zmodul01(A,k4_zmodul01(A),k4_zmodul01(A)) = A ) )).
fof(t103_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => ! [C] : ( ( v8_abcmiz_1(C,A) & m1_abcmiz_1(C,A,k13_abcmiz_1(A)) ) => k48_abcmiz_1(A,k43_abcmiz_1(A,B,C)) = k4_subset_1(k2_abcmiz_1,k46_abcmiz_1(A,C),k48_abcmiz_1(A,B)) ) ) ) )).
fof(t103_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_absred_0(B,A) & r1_absred_0(A,C,B) ) => r9_absred_0(A,B,C) ) ) ) ) )).
fof(t103_aofa_000,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & v3_freealg(C) & v3_aofa_000(C) & v4_aofa_000(C) & v5_aofa_000(C) & v6_aofa_000(C) & v12_aofa_000(C) & l1_unialg_1(C) ) => ! [D] : ( m1_aofa_000(D,C,A,B) => ! [E] : ( m1_aofa_000(E,C,A,B) => ( r2_relset_1(k2_zfmisc_1(A,u1_struct_0(C)),A,k2_partfun1(k2_zfmisc_1(A,u1_struct_0(C)),A,D,k2_zfmisc_1(A,k18_aofa_000(C))),k2_partfun1(k2_zfmisc_1(A,u1_struct_0(C)),A,E,k2_zfmisc_1(A,k18_aofa_000(C)))) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( r2_hidden(k4_tarski(F,G),k21_aofa_000(C,A,B,D)) => k2_binop_1(A,u1_struct_0(C),A,D,F,G) = k2_binop_1(A,u1_struct_0(C),A,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t103_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( v24_aofa_l00(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) ) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ( r2_tarski(k15_aofa_l00(A,B,C,E,F),D) => r2_tarski(k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,F,G),k15_aofa_l00(A,B,C,E,G)),D) ) ) ) ) ) ) ) ) )).
fof(t103_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,k5_bvfunc25(A,B,C)),k12_bvfunc_1(A)) ) ) ) )).
fof(t103_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k5_bvfunc_1(A,B,D)) ) ) ) ) )).
fof(t103_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) ) => r2_tarski(C,k8_card_3(B)) ) ) )).
fof(t103_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) ) => ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & v3_chord(B,A) ) ) )).
fof(t103_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_normsp_0(A,k4_algstr_0(A,B)) = k2_normsp_0(A,B) ) ) )).
fof(t103_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( v1_xreal_0(D) => ( ( r1_fdiff_1(A,D) & r1_fdiff_1(B,D) & r1_fdiff_1(C,D) ) => ( k1_funct_1(A,D) = k5_numbers | k1_funct_1(B,D) = k5_numbers | k1_funct_1(C,D) = k5_numbers | k8_euclid_8(k6_rfunct_1(k1_numbers,k1_numbers,A),k6_rfunct_1(k1_numbers,k1_numbers,B),k6_rfunct_1(k1_numbers,k1_numbers,C),D) = k6_euclid(3,k1_euclid_8(k7_xcmplx_0(k1_fdiff_1(A,D),k1_square_1(k1_funct_1(A,D))),k7_xcmplx_0(k1_fdiff_1(B,D),k1_square_1(k1_funct_1(B,D))),k7_xcmplx_0(k1_fdiff_1(C,D),k1_square_1(k1_funct_1(C,D))))) ) ) ) ) ) ) )).
fof(t103_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ~ ( v1_euclid_4(B,A) & v1_euclid_4(C,A) & r7_euclidlp(A,B,C) & B != C & ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ~ ( r1_tarski(B,D) & r1_tarski(C,D) & v1_euclidlp(D,A) ) ) ) ) ) ) )).
fof(t103_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_card_1(B,3) & m2_finseq_1(B,A) ) => ? [C] : ( m1_subset_1(C,A) & ? [D] : ( m1_subset_1(D,A) & ? [E] : ( m1_subset_1(E,A) & B = k11_finseq_1(C,D,E) ) ) ) ) ) )).
fof(t103_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( r2_tarski(A,k1_relset_1(k4_ordinal1,B)) => k1_funct_1(k7_finseq_1(k9_finseq_1(C),B),k1_nat_1(A,1)) = k1_funct_1(B,A) ) ) ) )).
fof(t103_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( r2_tarski(C,k6_subset_1(k10_xtuple_0(D),k10_xtuple_0(k2_finseq_5(A,D,B)))) => ( k4_finseq_4(D,C) = 1 | k1_finseq_6(A,k1_finseq_6(A,D,B),C) = k1_finseq_6(A,D,C) ) ) ) ) ) ) )).
fof(t103_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k2_flang_1(A),B) => ( r1_xxreal_0(C,k5_numbers) | r1_tarski(k2_flang_2(A,B),k7_flang_1(A,B,C)) ) ) ) ) )).
fof(t103_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v5_funct_1(A,B) & k9_xtuple_0(A) = k9_xtuple_0(B) ) => v2_relat_1(B) ) ) ) )).
fof(t103_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) => ( r1_tarski(D,E) => r1_tarski(k7_funct_2(A,B,C,D),k7_funct_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(t103_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ~ r2_hidden(B,k10_xtuple_0(A)) => k6_funct_4(A,B,C) = A ) ) )).
fof(t103_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k10_xtuple_0(k9_funct_7(A,B,C)) = k10_xtuple_0(A) ) )).
fof(t103_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( C != k4_tarski(k10_finseq_1(A,B),k4_gfacirc1) & A != k4_tarski(k10_finseq_1(B,C),k3_gfacirc1) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & ? [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k37_gfacirc1(A,B,C),k38_gfacirc1(A,B,C)))) & ? [E] : ( m1_subset_1(E,k5_margrel1) & ? [F] : ( m1_subset_1(F,k5_margrel1) & ? [G] : ( m1_subset_1(G,k5_margrel1) & E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) & ~ ( k1_funct_1(k5_facirc_1(k37_gfacirc1(A,B,C),k38_gfacirc1(A,B,C),D,2),k36_gfacirc1(A,B,C)) = k2_binarith(k2_binarith(k8_margrel1(E),F),k8_margrel1(G)) & k1_funct_1(k5_facirc_1(k37_gfacirc1(A,B,C),k38_gfacirc1(A,B,C),D,2),k33_gfacirc1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),F),k9_margrel1(F,k8_margrel1(G))),k9_margrel1(k8_margrel1(G),k8_margrel1(E)))) ) ) ) ) ) ) )).
fof(t103_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ~ ( r2_tarski(C,k14_glib_001(A,B)) & ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ! [F] : ( ( ~ v1_abian(F) & m1_subset_1(F,k4_ordinal1) ) => ~ ( r1_xxreal_0(k1_nat_1(F,2),k3_finseq_1(B)) & D = k1_funct_1(B,F) & C = k1_funct_1(B,k1_nat_1(F,1)) & E = k1_funct_1(B,k1_nat_1(F,2)) & r1_glib_000(A,D,E,C) ) ) ) ) ) ) ) )).
fof(t103_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_group_2(D,B) => ( r2_hidden(A,k13_group_2(B,D,C)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,C,E) & r1_struct_0(D,E) ) ) ) ) ) )).
fof(t103_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => r5_group_3(A,B,B) ) ) )).
fof(t103_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(k20_group_9(A,B,C))) & ! [E] : ( ( ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & v3_group_9(E,A) & l1_group_9(E,A) ) => ( E = k1_funct_1(k20_group_9(A,B,C),D) => v7_struct_0(E) ) ) ) => ( r2_tarski(D,k4_finseq_1(C)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(C)) & k1_funct_1(C,D) = k1_funct_1(C,k1_nat_1(D,1)) ) ) ) ) ) )).
fof(t103_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ ( v1_funct_1(k7_jgraph_4(A)) & v1_funct_2(k7_jgraph_4(A),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k7_jgraph_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) & k2_relset_1(u1_struct_0(k15_euclid(2)),k7_jgraph_4(A)) = u1_struct_0(k15_euclid(2)) ) ) ) )).
fof(t103_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k17_euclid(B) = F & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(G,k18_euclid(C)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t103_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ( D = C & r2_tarski(E,k8_metric_1(k14_euclid(A),C,B)) ) => ( ~ r1_xxreal_0(B,k12_euclid(k5_algstr_0(k15_euclid(A),D,E))) & ~ r1_xxreal_0(B,k12_euclid(k5_algstr_0(k15_euclid(A),E,D))) ) ) ) ) ) ) ) )).
fof(t103_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v6_limfunc1(B) & v6_limfunc1(C) & k5_limfunc1(B) = k5_limfunc1(C) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( r1_tarski(k10_prob_1(D),k9_subset_1(k1_numbers,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C)),k1_relset_1(k1_numbers,A))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k10_prob_1(D)) => ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(A,E)) & r1_xxreal_0(k1_funct_1(A,E),k1_funct_1(C,E)) ) ) ) ) ) | ( v6_limfunc1(A) & k5_limfunc1(A) = k5_limfunc1(B) ) ) ) ) ) ) )).
fof(t103_matrix13,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v3_group_1(D) & v5_group_1(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l6_algstr_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),B,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => ( r2_hidden(A,k9_matrix13(D,B,C,E)) <=> ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k2_finseq_1(B)) & A = k7_matrix_0(u1_struct_0(D),E,F) ) ) ) ) ) ) )).
fof(t103_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => ! [D] : ( v2_membered(D) => ( ( r1_tarski(A,B) & r1_tarski(C,D) ) => r1_tarski(k14_member_1(A,C),k14_member_1(B,D)) ) ) ) ) ) )).
fof(t103_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(k1_relset_1(A,D),B) & r1_xxreal_0(k5_numbers,E) & ! [F] : ( r2_hidden(F,k1_relset_1(A,D)) => k1_funct_1(D,F) = E ) ) => ( k1_relset_1(A,D) = k1_xboole_0 | k1_mesfunc3(A,B,C,D) = k4_xxreal_3(E,k12_supinf_2(C,k1_relset_1(A,D))) ) ) ) ) ) ) ) )).
fof(t103_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( ( r3_mesfunc6(A,B,C,D) & r3_mesfunc6(A,B,C,E) & r1_tarski(F,k1_relset_1(A,k3_valued_1(A,k1_numbers,k1_numbers,D,E))) ) => ( r3_mesfunc6(A,B,C,k3_valued_1(A,k1_numbers,k1_numbers,D,E)) & k2_mesfunc6(A,B,C,k3_valued_1(A,k1_numbers,k1_numbers,D,E),F) = k3_supinf_2(k2_mesfunc6(A,B,C,D,F),k2_mesfunc6(A,B,C,E,F)) ) ) ) ) ) ) ) ) )).
fof(t103_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( v9_msafree5(F,A,C,k1_msafree3(A,C),B,E) => ( D = E | v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),k1_msafree3(A,C),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),F),A,C,k1_msafree3(A,C),B,D) ) ) ) ) ) ) ) ) )).
fof(t103_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r13_ncfcont1(A,B,C,E) & r13_ncfcont1(A,B,D,F) ) => r13_ncfcont1(A,B,k3_xboole_0(C,D),k2_vfunct_1(u1_struct_0(A),B,E,F)) ) ) ) ) ) )).
fof(t103_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r4_pboole(A,B,C) & r2_pboole(A,B,D) ) => r4_pboole(A,B,k3_pboole(A,C,D)) ) ) ) ) )).
fof(t103_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k6_relat_1(k2_xboole_0(A,B),C) = k2_xboole_0(k6_relat_1(A,C),k6_relat_1(B,C)) ) )).
fof(t103_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(C))) => ! [E] : ( ( ~ v2_struct_0(E) & l1_rewrite3(E,D) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ( r2_tarski(F,k3_rewrite3(C,D,E,A,B)) <=> ? [G] : ( m1_subset_1(G,u1_struct_0(E)) & r2_tarski(G,B) & r4_rewrite3(C,D,E,G,A,F) ) ) ) ) ) ) )).
fof(t103_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => ( ? [B] : ( v7_ordinal1(B) & r2_tarski(B,k4_finseq_1(A)) & k1_funct_1(A,B) = k5_numbers ) <=> k19_rvsum_1(A) = k5_numbers ) ) )).
fof(t103_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_scmfsa_2(B) => ~ r2_tarski(B,k1_relset_1(u1_struct_0(k1_scmfsa_2),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,A))) ) ) )).
fof(t103_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) ) => ! [G] : ( v1_int_1(G) => ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,E),G))) => k1_funct_1(k6_scmpds_4(k4_scmpds_6(E,G,C,D),B,A),F) = k1_funct_1(k6_scmpds_4(C,B,A),F) ) ) ) ) ) ) ) ) )).
fof(t103_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ! [C] : ( ( r2_tarski(B,k3_tarski(A)) & r2_tarski(C,k3_tarski(A)) & r2_tarski(k2_tarski(B,C),k12_scmyciel(A)) ) => r2_tarski(k2_tarski(B,C),A) ) ) )).
fof(t103_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r5_semi_af1(A,B,C) & B = C ) ) ) ) )).
fof(t103_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ~ ( B != C & r1_xxreal_0(k20_seq_4(k17_seq_4(A,B,C)),k5_numbers) ) ) ) ) )).
fof(t103_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,B,B),B))) = k5_sheffer1(A,k5_sheffer1(A,B,B),B) ) ) ) )).
fof(t103_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(B,k5_numbers) & k2_xcmplx_0(k1_square_1(A),k1_square_1(B)) = 1 ) => k17_sin_cos(k4_sin_cos6(A)) = k4_xcmplx_0(B) ) ) ) )).
fof(t103_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos9),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2))))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) & C = k1_taylor_1(2) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(B,D) = 1 ) ) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos9),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2))),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos9),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2))),A),D) = k1_funct_1(k1_sin_cos9,D) ) ) ) ) ) ) ) )).
fof(t103_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) & k7_sincos10(A) = k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)) ) => A = k4_xcmplx_0(1) ) & ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) & k7_sincos10(A) = k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)) ) => A = k4_xcmplx_0(k3_square_1(2)) ) ) ) )).
fof(t103_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => u1_struct_0(k12_tdlat_1(A)) = k9_tdlat_1(A) ) )).
fof(t103_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_pre_topc(C,k8_tmap_1(A,B)) => ( u1_struct_0(C) = u1_struct_0(B) => ( v1_tsep_1(C,k8_tmap_1(A,B)) & m1_pre_topc(C,k8_tmap_1(A,B)) ) ) ) ) ) )).
fof(t103_xboole_1,axiom,( ! [A] : ! [B] : r1_xboole_0(k3_xboole_0(A,B),k5_xboole_0(A,B)) )).
fof(t103_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k6_xboolean(A,A) = k2_xboolean ) )).
fof(t103_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(k7_xcmplx_0(1,C),k7_xcmplx_0(A,B)) = k7_xcmplx_0(A,k3_xcmplx_0(B,C)) ) ) ) )).
fof(t103_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k3_xcmplx_0(A,D),k3_xcmplx_0(C,B)) => ( r1_xxreal_0(k5_numbers,B) | r1_xxreal_0(k5_numbers,D) | r1_xxreal_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) ) ) ) ) ) ) )).
fof(t103_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,C) & r1_tarski(k2_xxreal_1(C,D),k2_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t103_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(k5_numbers,C) | r1_xxreal_0(k6_xxreal_3(B,C),k6_xxreal_3(A,C)) ) ) ) ) ) )).
fof(t103_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ( ( r2_zf_model(D,k10_zf_lang(A,B)) & r2_zf_model(D,k10_zf_lang(B,C)) ) => r2_zf_model(D,k10_zf_lang(A,C)) ) ) ) ) ) )).
fof(t103_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k4_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(A,C),B),k2_zfmisc_1(A,k4_xboole_0(B,D))) )).
fof(t103_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => k7_zmodul01(A,B,B) = B ) ) )).
fof(t104_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v9_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k12_abcmiz_1(A)) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) ) => k47_abcmiz_1(A,k40_abcmiz_1(A,C,B)) = k2_xboole_0(k3_tarski(a_2_5_abcmiz_1(A,C)),k45_abcmiz_1(A,B)) ) ) ) )).
fof(t104_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_absred_0(B,A) & r2_absred_0(A,C,B) ) => r9_absred_0(A,B,C) ) ) ) ) )).
fof(t104_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( ( v15_aofa_000(E,A) & m1_subset_1(E,u1_struct_0(A)) ) => r5_aofa_000(A,B,C,E,D) ) ) ) ) ) )).
fof(t104_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( v24_aofa_l00(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) ) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ( r2_tarski(k15_aofa_l00(A,B,C,E,F),D) => r2_tarski(k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,G,E),k15_aofa_l00(A,B,C,G,F)),D) ) ) ) ) ) ) ) ) )).
fof(t104_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k6_bvfunc_1(A,B,k5_bvfunc25(A,B,C)),k5_bvfunc_1(A,k14_margrel1(A,B),C)) ) ) ) )).
fof(t104_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,B,k9_bvfunc_1(A,B,C)),C) ) ) ) )).
fof(t104_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) ) => ? [D] : ( m1_subset_1(D,k4_card_3(B)) & r1_tarski(C,D) ) ) ) )).
fof(t104_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_chord(B,A) => k3_finseq_1(B) = k4_card_1(k6_glib_000(A)) ) ) )).
fof(t104_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,B,C)),k2_xcmplx_0(k2_normsp_0(A,B),k2_normsp_0(A,C))) ) ) ) )).
fof(t104_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( r1_fdiff_1(B,E) & r1_fdiff_1(C,E) & r1_fdiff_1(D,E) ) => k8_euclid_8(k26_valued_1(k1_numbers,k1_numbers,B,A),k26_valued_1(k1_numbers,k1_numbers,C,A),k26_valued_1(k1_numbers,k1_numbers,D,A),E) = k7_euclid(3,k7_euclid(3,k9_euclid(3,k2_euclid_8,k3_xcmplx_0(A,k1_fdiff_1(B,E))),k9_euclid(3,k3_euclid_8,k3_xcmplx_0(A,k1_fdiff_1(C,E)))),k9_euclid(3,k4_euclid_8,k3_xcmplx_0(A,k1_fdiff_1(D,E)))) ) ) ) ) ) ) )).
fof(t104_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ~ ( v1_euclid_4(B,A) & v1_euclid_4(C,A) & B != C & ~ r1_xboole_0(B,C) & ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ~ ( r1_tarski(B,D) & r1_tarski(C,D) & v1_euclidlp(D,A) ) ) ) ) ) ) )).
fof(t104_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => r2_tarski(k11_finseq_1(B,C,D),k4_finseq_2(3,A)) ) ) ) ) )).
fof(t104_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ ( r2_tarski(A,k1_relset_1(k4_ordinal1,B)) & ! [C] : ( v7_ordinal1(C) => ~ ( k3_finseq_1(B) = k1_nat_1(C,1) & k3_finseq_1(k2_finseq_3(A,B)) = C ) ) ) & ( ~ r2_tarski(A,k1_relset_1(k4_ordinal1,B)) => k2_finseq_3(A,B) = B ) ) ) ) )).
fof(t104_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( ( r2_tarski(C,k10_xtuple_0(k2_rfinseq(A,1,D))) & r2_finseq_4(D,C) ) => k1_finseq_6(A,k1_finseq_6(A,D,B),C) = k1_finseq_6(A,D,C) ) ) ) ) ) )).
fof(t104_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,k2_flang_2(A,B),k7_flang_1(A,B,C)) = k6_flang_1(A,k7_flang_1(A,B,C),k2_flang_2(A,B)) ) ) )).
fof(t104_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v5_funct_1(k1_xboole_0,A) ) )).
fof(t104_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( m1_setfam_1(k7_funct_2(A,B,C,k6_funct_2(A,B,C,D)),E) => m1_setfam_1(D,E) ) ) ) ) ) ) )).
fof(t104_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : r1_tarski(k10_xtuple_0(k6_funct_4(A,B,C)),k2_xboole_0(k6_subset_1(k10_xtuple_0(A),k1_tarski(B)),k1_tarski(C))) ) )).
fof(t104_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( r1_funct_7(A,B,D) => r1_funct_7(k1_funct_4(A,C),k1_funct_4(B,C),D) ) ) ) ) )).
fof(t104_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( C != k4_tarski(k10_finseq_1(A,B),k4_gfacirc1) & A != k4_tarski(k10_finseq_1(B,C),k3_gfacirc1) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & ~ ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k37_gfacirc1(A,B,C),k38_gfacirc1(A,B,C)))) => v1_circuit2(k5_facirc_1(k37_gfacirc1(A,B,C),k38_gfacirc1(A,B,C),D,2),k37_gfacirc1(A,B,C),k38_gfacirc1(A,B,C)) ) ) )).
fof(t104_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( r2_tarski(C,k14_glib_001(A,B)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & r2_tarski(D,k1_relset_1(k4_ordinal1,k12_glib_001(A,B))) & k1_funct_1(k12_glib_001(A,B),D) = C ) ) ) ) )).
fof(t104_group_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_group_2(D,B) => ( r2_hidden(A,k14_group_2(B,D,C)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & A = k6_algstr_0(B,E,C) & r1_struct_0(D,E) ) ) ) ) ) )).
fof(t104_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( r5_group_3(A,B,C) => r5_group_3(A,C,B) ) ) ) ) )).
fof(t104_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(C)) & r2_tarski(k1_nat_1(E,1),k4_finseq_1(C)) & k1_funct_1(C,E) = k1_funct_1(C,k1_nat_1(E,1)) & D = k2_finseq_3(E,C) ) => k20_group_9(A,B,D) = k2_finseq_3(E,k20_group_9(A,B,C)) ) ) ) ) ) )).
fof(t104_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ! [C] : ( ( ~ v1_xboole_0(C) & v2_compts_1(C,k15_euclid(2)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( C = k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r2_tarski(B,D) & v3_pre_topc(D,k15_euclid(2)) & r1_tarski(D,C) & r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B),D) ) ) ) ) ) ) )).
fof(t104_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k17_euclid(B) = F & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(G,k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(C),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t104_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & r2_tarski(C,k3_topreal1(2,k1_sprect_1(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,k2_jordan2c(2,k3_topreal1(2,k1_sprect_1(A)))) & ~ r1_xxreal_0(B,k12_euclid(k5_algstr_0(k15_euclid(2),C,D))) ) ) ) ) ) ) )).
fof(t104_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v3_limfunc1(A) & v3_limfunc1(B) ) => ( ! [C] : ( v1_xreal_0(C) => ( ~ ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(C)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k3_limfunc1(C))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(C))) => r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) & ~ ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k3_limfunc1(C)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k3_limfunc1(C))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k3_limfunc1(C))) => r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) | r1_xxreal_0(k4_limfunc1(A),k4_limfunc1(B)) ) ) ) ) )).
fof(t104_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_prvect_1(B,A)))) ) => ? [D] : ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),k4_card_1(C),A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) & v2_funct_1(D) & k9_matrix13(B,k4_card_1(C),A,D) = C ) ) ) ) )).
fof(t104_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => k14_member_1(k2_xboole_0(A,B),C) = k2_xboole_0(k14_member_1(A,C),k14_member_1(B,C)) ) ) ) )).
fof(t104_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( r2_tarski(k1_relset_1(A,D),B) & r1_xxreal_0(k5_numbers,E) & ! [F] : ( r2_hidden(F,k1_relset_1(A,D)) => k1_funct_1(D,F) = E ) ) => k5_mesfunc5(A,B,C,D) = k4_xxreal_3(E,k12_supinf_2(C,k1_relset_1(A,D))) ) ) ) ) ) ) )).
fof(t104_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( r3_mesfunc6(A,B,C,D) => ( r3_mesfunc6(A,B,C,k2_partfun1(A,k1_numbers,D,F)) & k2_mesfunc6(A,B,C,k26_valued_1(A,k1_numbers,D,E),F) = k4_xxreal_3(E,k2_mesfunc6(A,B,C,D,F)) ) ) ) ) ) ) ) ) )).
fof(t104_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v6_msafree5(C) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,C))))) ) => ? [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( r2_tarski(F,D) => v9_msafree5(F,A,C,k1_msafree3(A,C),B,E) ) ) ) ) ) ) ) )).
fof(t104_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r14_ncfcont1(A,B,C,E) & r14_ncfcont1(A,B,D,F) ) => r14_ncfcont1(A,B,k3_xboole_0(C,D),k2_vfunct_1(u1_struct_0(A),B,E,F)) ) ) ) ) ) )).
fof(t104_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r4_pboole(A,B,k4_pboole(A,C,D)) => r4_pboole(A,B,C) ) ) ) ) )).
fof(t104_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k6_relat_1(k3_xboole_0(A,B),C) = k3_xboole_0(k6_relat_1(A,C),k6_relat_1(B,C)) ) )).
fof(t104_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_rewrite3(C,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( ~ r2_tarski(k2_flang_1(A),k10_xtuple_0(k9_xtuple_0(u1_rewrite3(B,C)))) => k3_rewrite3(A,B,C,k2_flang_1(A),D) = D ) ) ) ) ) )).
fof(t104_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => k19_rvsum_1(k2_finseq_2(k2_xcmplx_0(A,B),C)) = k3_xcmplx_0(k19_rvsum_1(k2_finseq_2(A,C)),k19_rvsum_1(k2_finseq_2(B,C))) ) ) ) )).
fof(t104_scmfsa_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,B) & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) & ! [C] : ( m1_scmfsa_2(C) => r2_relset_1(k4_ordinal1,k4_numbers,k18_scmfsa_2(A,C),k18_scmfsa_2(B,C)) ) ) => A = B ) ) ) )).
fof(t104_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_compos_1(D,k1_scmpds_2) & v2_scmpds_4(D) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) ) => ! [G] : ( v1_int_1(G) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,E),G))) => k1_funct_1(k6_scmpds_4(k4_scmpds_6(E,G,C,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),F) = k1_funct_1(k6_scmpds_4(D,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),F) ) ) ) ) ) ) ) ) )).
fof(t104_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => A = k7_scmyciel(k12_scmyciel(A),k3_tarski(A)) ) )).
fof(t104_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r5_semi_af1(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r1_semi_af1(A,B,C,D) & r5_semi_af1(A,B,D) ) ) ) ) ) ) )).
fof(t104_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => k20_seq_4(k17_seq_4(A,B,C)) = k20_seq_4(k17_seq_4(A,C,B)) ) ) ) )).
fof(t104_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,C),C) = k5_sheffer1(A,k5_sheffer1(A,B,B),B) ) ) ) )).
fof(t104_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) ) => k17_sin_cos(k4_sin_cos6(A)) = k3_square_1(k6_xcmplx_0(1,k1_square_1(A))) ) ) )).
fof(t104_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k2_sin_cos9),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2))))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) & C = k1_taylor_1(2) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(B,D) = 1 ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k2_sin_cos9),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2))),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k2_sin_cos9),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),k3_taylor_1),k7_xcmplx_0(1,2))),A),D) = k1_funct_1(k2_sin_cos9,D) ) ) ) ) ) ) ) )).
fof(t104_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) & k8_sincos10(A) = k7_xcmplx_0(k28_sin_cos,4) ) => A = k3_square_1(2) ) & ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) & k8_sincos10(A) = k7_xcmplx_0(k28_sin_cos,2) ) => A = 1 ) ) ) )).
fof(t104_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_tdlat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_tdlat_1(A))) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => ( ( B = D & C = E ) => ( k1_lattices(k12_tdlat_1(A),B,C) = k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),D,E))) & k2_lattices(k12_tdlat_1(A),B,C) = k9_subset_1(u1_struct_0(A),D,E) ) ) ) ) ) ) ) )).
fof(t104_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ( ( v1_tsep_1(B,A) & m1_pre_topc(B,A) ) <=> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k8_tmap_1(A,B) ) ) ) )).
fof(t104_xboole_1,axiom,( ! [A] : ! [B] : ( ~ ( ~ r2_xboole_0(A,B) & A != B & ~ r2_xboole_0(B,A) ) <=> r3_xboole_0(A,B) ) )).
fof(t104_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k6_xboolean(A,k6_xboolean(B,A)) = k2_xboolean ) ) )).
fof(t104_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k7_xcmplx_0(k7_xcmplx_0(A,B),C) = k3_xcmplx_0(k7_xcmplx_0(1,B),k7_xcmplx_0(A,C)) ) ) ) )).
fof(t104_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k3_xcmplx_0(A,D),k3_xcmplx_0(C,B)) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(k5_numbers,D) | r1_xxreal_0(k7_xcmplx_0(C,D),k7_xcmplx_0(A,B)) ) ) ) ) ) ) )).
fof(t104_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_tarski(k1_xxreal_1(C,D),k2_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t104_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(k5_numbers,C) & C != k2_xxreal_0 & r1_xxreal_0(k6_xxreal_3(A,C),k6_xxreal_3(B,C)) ) ) ) ) )).
fof(t104_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( r1_zf_model(D,E,k10_zf_lang(k6_zf_lang(k10_zf_lang(A,B),k10_zf_lang(B,C)),k10_zf_lang(A,C))) & r2_zf_model(D,k10_zf_lang(k6_zf_lang(k10_zf_lang(A,B),k10_zf_lang(B,C)),k10_zf_lang(A,C))) ) ) ) ) ) ) )).
fof(t104_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_xboole_0(A,B) | r1_xboole_0(C,D) ) => r1_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) ) )).
fof(t104_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => k7_zmodul01(A,B,k7_zmodul01(A,C,D)) = k7_zmodul01(A,k7_zmodul01(A,B,C),D) ) ) ) ) )).
fof(t105_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v9_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k12_abcmiz_1(A)) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) ) => k48_abcmiz_1(A,k40_abcmiz_1(A,C,B)) = k2_xboole_0(k3_tarski(a_2_6_abcmiz_1(A,C)),k46_abcmiz_1(A,B)) ) ) ) )).
fof(t105_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_absred_0(B,A) & r4_absred_0(A,C,B) ) => r9_absred_0(A,B,C) ) ) ) ) )).
fof(t105_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r5_aofa_000(A,B,C,E,D) <=> r6_aofa_000(A,B,C,E,D,B) ) ) ) ) ) ) )).
fof(t105_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v6_aofa_l00(B,A) & l1_aofa_l00(B) ) => ! [C] : ( ( v17_aofa_l00(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( v24_aofa_l00(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B)))) ) => ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(B),u3_msualg_1(B,C),u1_aofa_l00(B))) => ( ( r2_tarski(k15_aofa_l00(A,B,C,E,F),D) & r2_tarski(k15_aofa_l00(A,B,C,G,H),D) ) => r2_tarski(k15_aofa_l00(A,B,C,k15_aofa_l00(A,B,C,F,G),k15_aofa_l00(A,B,C,E,H)),D) ) ) ) ) ) ) ) ) ) )).
fof(t105_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,k5_bvfunc25(A,B,C)),k15_margrel1(A,B,k14_margrel1(A,C))) ) ) ) )).
fof(t105_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k1_bvfunc_1(A,C)),k1_bvfunc_1(A,B)) ) ) ) )).
fof(t105_card_3,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( ( r4_wellord1(A,B) & v1_finset_1(A) ) => v1_finset_1(B) ) ) ) )).
fof(t105_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_chord(B,A) => r1_xxreal_0(1,k3_finseq_1(B)) ) ) )).
fof(t105_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_xxreal_0(k5_numbers,k2_normsp_0(A,B)) ) ) )).
fof(t105_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( v1_xreal_0(H) => ( ( r1_fdiff_1(B,H) & r1_fdiff_1(C,H) & r1_fdiff_1(D,H) & r1_fdiff_1(E,H) & r1_fdiff_1(F,H) & r1_fdiff_1(G,H) ) => k8_euclid_8(k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,E),A),k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,F),A),k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,G),A),H) = k7_euclid(3,k9_euclid(3,k8_euclid_8(B,C,D,H),A),k9_euclid(3,k8_euclid_8(E,F,G,H),A)) ) ) ) ) ) ) ) ) ) )).
fof(t105_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ( ( v1_euclid_4(B,A) & v1_euclid_4(C,A) & r1_tarski(B,D) & r1_tarski(C,D) & r1_tarski(B,E) & r1_tarski(C,E) ) => ( B = C | D = E ) ) ) ) ) ) ) )).
fof(t105_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => k4_finseq_2(k2_xcmplx_0(A,B),C) = a_3_0_finseq_2(A,B,C) ) ) ) )).
fof(t105_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => m2_finseq_1(k2_finseq_3(A,C),B) ) ) ) )).
fof(t105_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ( ( v1_finseq_6(D,A) & r2_finseq_4(D,C) ) => k1_finseq_6(A,k1_finseq_6(A,D,B),C) = k1_finseq_6(A,D,C) ) ) ) ) ) )).
fof(t105_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( r1_tarski(B,k8_flang_1(A,C)) => r1_tarski(k2_flang_2(A,B),k8_flang_1(A,C)) ) ) ) )).
fof(t105_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_funct_1(B,A) ) => r1_tarski(k9_xtuple_0(B),k9_xtuple_0(A)) ) ) )).
fof(t105_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( m1_setfam_1(D,E) => m1_setfam_1(k6_funct_2(A,B,C,k7_funct_2(A,B,C,D)),E) ) ) ) ) ) ) )).
fof(t105_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ( k1_funct_1(A,D) != B => k1_funct_1(k6_funct_4(A,B,C),D) = k1_funct_1(A,D) ) ) )).
fof(t105_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( r1_funct_7(A,B,D) => r1_funct_7(k1_funct_4(C,A),k1_funct_4(C,B),D) ) ) ) ) )).
fof(t105_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k41_gfacirc1(A,B,C)) = k1_enumset1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)) )).
fof(t105_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ! [E] : ( ( r2_tarski(C,k14_glib_001(A,B)) & r1_glib_000(A,D,E,C) ) => ( r2_tarski(D,k13_glib_001(A,B)) & r2_tarski(E,k13_glib_001(A,B)) ) ) ) ) )).
fof(t105_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => k13_group_2(A,D,k6_algstr_0(A,B,C)) = k4_group_2(A,B,k13_group_2(A,D,C)) ) ) ) ) )).
fof(t105_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ( ( r6_group_3(A,C,D) & r5_group_3(A,D,B) ) => r5_group_3(A,C,B) ) ) ) ) ) )).
fof(t105_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( v7_ordinal1(E) => ( ( D = k20_group_9(A,B,C) & r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( ( ~ v2_struct_0(F) & v2_group_1(F) & v3_group_1(F) & v3_group_9(F,A) & l1_group_9(F,A) ) => ( F = k1_funct_1(D,E) => v7_struct_0(F) ) ) ) => ( v8_group_9(k2_finseq_3(E,C),A,B) & m2_finseq_1(k2_finseq_3(E,C),k6_group_9(A,B)) & ! [F] : ( ( v8_group_9(F,A,B) & m2_finseq_1(F,k6_group_9(A,B)) ) => ( F = k2_finseq_3(E,C) => k20_group_9(A,B,F) = k2_finseq_3(E,D) ) ) ) ) ) ) ) ) )).
fof(t105_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ~ ( r2_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,k7_jgraph_4(A)) & v3_tops_2(B,k15_euclid(2),k15_euclid(2)) ) ) ) ) )).
fof(t105_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k17_euclid(B) = F & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(G,k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(C),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t105_jordan2c,axiom,( k1_euclid(k5_numbers) = k1_seq_4(k4_struct_0(k15_euclid(k5_numbers))) )).
fof(t105_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v6_limfunc1(A) & v6_limfunc1(B) ) => ( ! [C] : ( v1_xreal_0(C) => ( ~ ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(C)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k10_prob_1(C))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(C))) => r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) & ~ ( r1_tarski(k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k10_prob_1(C)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k10_prob_1(C))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k10_prob_1(C))) => r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) ) | r1_xxreal_0(k5_limfunc1(A),k5_limfunc1(B)) ) ) ) ) )).
fof(t105_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ( k8_matrix13(C,D) = A => v2_funct_1(D) ) ) ) ) ) )).
fof(t105_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => r1_tarski(k14_member_1(k3_xboole_0(A,B),C),k3_xboole_0(k14_member_1(A,C),k14_member_1(B,C))) ) ) ) )).
fof(t105_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfunc5(A,B,C,D) => ( r2_tarski(k8_relset_1(A,k6_numbers,D,k1_tarski(k1_supinf_1)),B) & r2_tarski(k8_relset_1(A,k6_numbers,D,k1_tarski(k2_supinf_1)),B) & k12_supinf_2(C,k8_relset_1(A,k6_numbers,D,k1_tarski(k1_supinf_1))) = k5_numbers & k12_supinf_2(C,k8_relset_1(A,k6_numbers,D,k1_tarski(k2_supinf_1))) = k5_numbers & r2_tarski(k4_subset_1(A,k8_relset_1(A,k6_numbers,D,k1_tarski(k1_supinf_1)),k8_relset_1(A,k6_numbers,D,k1_tarski(k2_supinf_1))),B) & k12_supinf_2(C,k4_subset_1(A,k8_relset_1(A,k6_numbers,D,k1_tarski(k1_supinf_1)),k8_relset_1(A,k6_numbers,D,k1_tarski(k2_supinf_1)))) = k5_numbers ) ) ) ) ) ) )).
fof(t105_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( ( v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) ) => ( v14_msafree5(F,A,C) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),u3_msualg_1(A,F),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),B)) => k1_msafree4(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),B),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,F),u3_msualg_1(A,F),k22_msafree5(A,C,F,B,D,E),B),G) = k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),B),G) ) ) ) ) ) ) ) ) )).
fof(t105_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( r15_ncfcont1(B,A,C,E) & r15_ncfcont1(B,A,D,F) ) => r15_ncfcont1(B,A,k3_xboole_0(C,D),k2_vfunct_1(u1_struct_0(B),A,E,F)) ) ) ) ) ) )).
fof(t105_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ~ ( ~ r4_pboole(A,C,D) & r4_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D)) ) ) ) ) )).
fof(t105_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k6_relat_1(k6_subset_1(A,B),C) = k6_subset_1(k6_relat_1(A,C),k6_relat_1(B,C)) ) )).
fof(t105_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(C))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_afinsq_1(C))) => ! [F] : ( ( ~ v2_struct_0(F) & l1_rewrite3(F,D) ) => ! [G] : ( ( ~ v2_struct_0(G) & l1_rewrite3(G,E) ) => ( ( u1_struct_0(F) = u1_struct_0(G) & u1_rewrite3(D,F) = u1_rewrite3(E,G) ) => k3_rewrite3(C,D,F,A,B) = k3_rewrite3(C,E,G,A,B) ) ) ) ) ) ) )).
fof(t105_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => k19_rvsum_1(k2_finseq_2(k3_xcmplx_0(A,B),C)) = k19_rvsum_1(k2_finseq_2(B,k19_rvsum_1(k2_finseq_2(A,C)))) ) ) ) )).
fof(t105_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k4_card_1(k9_scmpds_6(A,B,C)) = k1_nat_1(k4_card_1(C),1) ) ) ) )).
fof(t105_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( ( v1_finset_1(B) & v4_scmyciel(B) & v5_scmyciel(B) & m1_subset_1(B,k1_zfmisc_1(k12_scmyciel(A))) ) => ( r1_xxreal_0(3,k2_scmyciel(B)) => ! [C] : ( m1_subset_1(C,k3_tarski(B)) => C != k3_tarski(A) ) ) ) ) )).
fof(t105_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r1_semi_af1(A,D,E,C) & r1_semi_af1(A,D,E,B) & r5_semi_af1(A,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ r4_semi_af1(A,E,B,C,F,D) ) ) ) ) ) ) ) )).
fof(t105_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ! [D] : ( m2_finseq_2(D,k2_numbers,k12_seq_4(A)) => r1_xxreal_0(k20_seq_4(k17_seq_4(A,C,D)),k2_xcmplx_0(k20_seq_4(k17_seq_4(A,C,B)),k20_seq_4(k17_seq_4(A,B,D)))) ) ) ) ) )).
fof(t105_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,B,k5_sheffer1(A,C,C))) = B ) ) ) )).
fof(t105_sin_cos6,axiom,( v6_valued_0(k5_relset_1(k1_numbers,k1_numbers,k3_sin_cos6,k1_rcomp_1(k4_xcmplx_0(1),1))) )).
fof(t105_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k7_xcmplx_0(D,A) & ~ r1_xxreal_0(k1_funct_1(C,D),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(C,D)) ) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9)),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9)),B),D) = k2_xcmplx_0(k1_funct_1(k1_sin_cos9,k7_xcmplx_0(D,A)),k7_xcmplx_0(D,k3_xcmplx_0(A,k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(D,A)))))) ) ) ) ) ) ) ) )).
fof(t105_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) ) => ( r1_xxreal_0(k5_numbers,k5_sincos10(A)) & r1_xxreal_0(k5_sincos10(A),k7_xcmplx_0(k28_sin_cos,4)) ) ) ) )).
fof(t105_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( k5_lattices(k12_tdlat_1(A)) = k1_struct_0(A) & k6_lattices(k12_tdlat_1(A)) = k2_struct_0(A) ) ) )).
fof(t105_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => r1_funct_2(u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B)),u1_struct_0(A),u1_struct_0(A),k9_tmap_1(A,B),k3_struct_0(A)) ) ) )).
fof(t105_xboole_1,axiom,( ! [A] : ! [B] : ~ ( r2_xboole_0(A,B) & k4_xboole_0(B,A) = k1_xboole_0 ) )).
fof(t105_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k6_xboolean(A,k6_xboolean(k6_xboolean(A,B),B)) = k2_xboolean ) ) )).
fof(t105_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k3_xcmplx_0(A,D),k3_xcmplx_0(C,B)) => ( r1_xxreal_0(k5_numbers,B) | r1_xxreal_0(D,k5_numbers) | r1_xxreal_0(k7_xcmplx_0(C,D),k7_xcmplx_0(A,B)) ) ) ) ) ) ) )).
fof(t105_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,C) & r1_tarski(k4_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t105_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => k1_xxreal_3(k6_xxreal_3(A,2),k6_xxreal_3(A,2)) = A ) )).
fof(t105_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(A,k10_zf_lang(B,A))) & r2_zf_model(C,k10_zf_lang(A,k10_zf_lang(B,A))) ) ) ) ) ) )).
fof(t105_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D)) <=> ( A = C & r2_hidden(B,D) ) ) )).
fof(t105_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => m1_zmodul01(k7_zmodul01(A,B,C),B) ) ) ) )).
fof(t106_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v9_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k12_abcmiz_1(A)) ) => k47_abcmiz_1(A,k40_abcmiz_1(A,k1_subset_1(k38_abcmiz_1(A)),B)) = k45_abcmiz_1(A,B) ) ) )).
fof(t106_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r9_absred_0(A,B,C) & r9_absred_0(A,C,B) ) => B = C ) ) ) ) )).
fof(t106_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r5_aofa_000(A,B,C,E,D) => ! [F] : r6_aofa_000(A,B,C,E,D,F) ) ) ) ) ) ) )).
fof(t106_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I),H),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t106_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k5_bvfunc25(A,B,C)),k14_margrel1(A,k15_margrel1(A,B,C))) ) ) ) )).
fof(t106_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k1_bvfunc_1(A,B)),C) ) ) ) )).
fof(t106_card_3,axiom,( k10_card_3(k1_tarski(k1_xboole_0)) = k1_xboole_0 )).
fof(t106_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) ) => ! [C] : ( m3_chord(C,A) => ( r5_glib_000(A,B) => m3_chord(C,B) ) ) ) ) )).
fof(t106_clvect_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => r1_xxreal_0(k2_normsp_0(C,k3_rlvect_1(C,k1_clvect_1(C,D,A),k1_clvect_1(C,E,B))),k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A),k2_normsp_0(C,D)),k3_xcmplx_0(k9_complex1(B),k2_normsp_0(C,E)))) ) ) ) ) ) )).
fof(t106_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( v1_xreal_0(H) => ( ( r1_fdiff_1(B,H) & r1_fdiff_1(C,H) & r1_fdiff_1(D,H) & r1_fdiff_1(E,H) & r1_fdiff_1(F,H) & r1_fdiff_1(G,H) ) => k8_euclid_8(k26_valued_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,E),A),k26_valued_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,F),A),k26_valued_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,G),A),H) = k8_euclid(3,k9_euclid(3,k8_euclid_8(B,C,D,H),A),k9_euclid(3,k8_euclid_8(E,F,G,H),A)) ) ) ) ) ) ) ) ) ) )).
fof(t106_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ~ ( r5_euclidlp(A,B,C) & B != C & ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ~ ( r1_tarski(B,D) & r1_tarski(C,D) & v1_euclidlp(D,A) ) ) ) ) ) ) )).
fof(t106_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,B)) & m2_finseq_1(D,C) ) => ? [E] : ( m2_finseq_2(E,C,k4_finseq_2(A,C)) & ? [F] : ( m2_finseq_2(F,C,k4_finseq_2(B,C)) & D = k8_finseq_1(C,E,F) ) ) ) ) ) ) )).
fof(t106_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_tarski(k10_xtuple_0(k2_finseq_3(A,B)),k10_xtuple_0(B)) ) ) )).
fof(t106_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( v1_finseq_6(C,A) & r2_finseq_4(C,B) ) => k4_finseq_5(A,k1_finseq_6(A,C,B)) = k1_finseq_6(A,k4_finseq_5(A,C),B) ) ) ) ) )).
fof(t106_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( r1_tarski(B,k8_flang_1(A,C)) => k8_flang_1(A,C) = k8_flang_1(A,k4_subset_1(k8_afinsq_1(A),C,k2_flang_2(A,B))) ) ) ) )).
fof(t106_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ( r2_hidden(B,k9_xtuple_0(C)) => m1_subset_1(k1_funct_1(C,B),A) ) ) )).
fof(t106_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => r1_tarski(k5_setfam_1(B,k7_funct_2(A,B,C,k6_funct_2(A,B,C,D))),k5_setfam_1(B,D)) ) ) ) ) )).
fof(t106_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( ( r2_hidden(A,k9_xtuple_0(B)) & k1_funct_1(B,A) = C ) => k1_funct_1(k6_funct_4(B,C,D),A) = D ) ) )).
fof(t106_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k1_funct_4(A,C) = k1_funct_4(B,C) <=> r1_funct_7(A,B,k9_xtuple_0(C)) ) ) ) ) )).
fof(t106_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k43_gfacirc1(A,B,C)) = k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)),k1_tarski(k45_gfacirc1(A,B,C))) )).
fof(t106_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_tarski(k14_glib_001(A,k8_glib_001(A,B,D,C)),k14_glib_001(A,B)) ) ) ) ) )).
fof(t106_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => k5_group_2(A,C,k13_group_2(A,D,B)) = k4_group_2(A,B,k14_group_2(A,D,C)) ) ) ) ) )).
fof(t106_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => ( r2_tarski(A,k9_group_3(B,C)) => ( v15_algstr_0(A) & m1_group_2(A,B) ) ) ) ) )).
fof(t106_group_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(F,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) & r6_group_9(A,B,C,F) & E = k1_funct_1(k2_funct_2(k4_finseq_1(B),F),D) ) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(k2_finseq_3(D,B)),k4_finseq_1(k2_finseq_3(D,B))) & v3_funct_2(F,k4_finseq_1(k2_finseq_3(D,B)),k4_finseq_1(k2_finseq_3(D,B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k2_finseq_3(D,B)),k4_finseq_1(k2_finseq_3(D,B))))) ) => ~ r6_group_9(A,k2_finseq_3(D,B),k2_finseq_3(E,C),F) ) ) ) ) ) ) )).
fof(t106_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) => ( r1_xxreal_0(1,A) | r1_xxreal_0(k17_euclid(B),k5_numbers) | ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) => ( ~ r1_xxreal_0(k17_euclid(C),k5_numbers) & r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) ) ) ) ) )).
fof(t106_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & r1_xxreal_0(k17_euclid(B),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t106_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v9_rltopsp1(B,k15_euclid(A)) => v9_rltopsp1(k1_jordan2c(A,B),k15_euclid(A)) ) ) ) )).
fof(t106_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [B] : ( v1_xreal_0(B) => ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(C,B) & r2_hidden(C,k1_relset_1(k1_numbers,A)) & k1_funct_1(A,C) != k5_numbers ) ) => ( ( ~ v4_limfunc1(A) & ~ v5_limfunc1(A) ) | ( v3_limfunc1(k6_rfunct_1(k1_numbers,k1_numbers,A)) & k4_limfunc1(k6_rfunct_1(k1_numbers,k1_numbers,A)) = k5_numbers ) ) ) ) )).
fof(t106_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v3_group_1(D) & v5_group_1(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l6_algstr_0(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_vectsp_6(F,D,k6_prvect_1(D,C)) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(D),B,C) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(D))) ) => ( ( r2_tarski(A,k2_finseq_1(k3_finseq_1(G))) & E = k1_funct_1(F,k1_funct_1(G,A)) ) => k7_matrix_0(u1_struct_0(D),k10_matrix13(D,C,k3_vectsp_6(D,k6_prvect_1(D,C),k11_matrix13(D,B,C,G),F)),A) = k10_fvsum_1(k1_matrix_0(G),D,k7_matrix_0(u1_struct_0(D),G,A),E) ) ) ) ) ) ) ) ) )).
fof(t106_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => k14_member_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k14_member_1(A,B),k14_member_1(A,C)) ) ) ) )).
fof(t106_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) & v6_supinf_2(D) & v6_supinf_2(E) ) => r1_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) ) ) ) ) ) ) )).
fof(t106_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( ( v5_msafree4(F,A,C) & v6_msafree4(F,A,C) & v7_msafree4(F,A,C) & v8_msafree4(F,A,C) & l3_msualg_1(F,A) ) => ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,F))) => ( ( v14_msafree5(F,A,C) & v9_msafree5(G,A,C,F,B,E) ) => ( D = E | v9_msafree5(k4_msafree5(A,F,F,k22_msafree5(A,C,F,B,D,E),G),A,C,F,B,D) ) ) ) ) ) ) ) ) ) )).
fof(t106_ncfcont1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r13_ncfcont1(B,C,D,E) => r13_ncfcont1(B,C,D,k2_vfunct_2(u1_struct_0(B),C,E,A)) ) ) ) ) ) )).
fof(t106_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r4_pboole(A,B,k4_pboole(A,C,D)) => r4_pboole(A,C,k4_pboole(A,B,D)) ) ) ) ) )).
fof(t106_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k6_relat_1(k1_xboole_0,A) = k1_xboole_0 ) )).
fof(t106_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k19_rvsum_1(k2_finseq_2(A,k3_xcmplx_0(B,C))) = k3_xcmplx_0(k19_rvsum_1(k2_finseq_2(A,B)),k19_rvsum_1(k2_finseq_2(A,C))) ) ) ) )).
fof(t106_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => r2_tarski(k5_numbers,k9_xtuple_0(k9_scmpds_6(A,B,C))) ) ) ) )).
fof(t106_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => ( k8_scmyciel(A) = k5_numbers => ! [B] : ( ( v1_finset_1(B) & v4_scmyciel(B) & v5_scmyciel(B) & m1_subset_1(B,k1_zfmisc_1(k12_scmyciel(A))) ) => r1_xxreal_0(k2_scmyciel(B),1) ) ) ) )).
fof(t106_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ( B = k1_xboole_0 => v1_seq_4(B,A) ) ) ) )).
fof(t106_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,B)),k5_sheffer1(A,B,C)) = C ) ) ) )).
fof(t106_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_fdiff_1(k3_sin_cos6,k2_rcomp_1(k4_xcmplx_0(1),1)) & ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & k1_fdiff_1(k3_sin_cos6,A) != k4_xcmplx_0(k7_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(A))))) ) ) ) )).
fof(t106_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k7_xcmplx_0(D,A) & ~ r1_xxreal_0(k1_funct_1(C,D),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(C,D)) ) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9)),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9)),B),D) = k6_xcmplx_0(k1_funct_1(k2_sin_cos9,k7_xcmplx_0(D,A)),k7_xcmplx_0(D,k3_xcmplx_0(A,k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(D,A)))))) ) ) ) ) ) ) ) )).
fof(t106_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) ) => ( r1_xxreal_0(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos),k6_sincos10(A)) & r1_xxreal_0(k6_sincos10(A),k28_sin_cos) ) ) ) )).
fof(t106_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_tdlat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_tdlat_1(A))) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k9_tdlat_1(A)) => ( ( B = D & C = E ) => ( r1_lattices(k12_tdlat_1(A),B,C) <=> r1_tarski(D,E) ) ) ) ) ) ) ) )).
fof(t106_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r1_tsep_1(B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => r1_tmap_1(C,k8_tmap_1(A,B),k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),C),D) ) ) ) ) ) )).
fof(t106_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,k4_xboole_0(A,B)) => ( r1_tarski(C,A) & r1_xboole_0(C,B) ) ) )).
fof(t106_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k6_xboolean(k6_xboolean(A,B),k6_xboolean(k6_xboolean(B,C),k6_xboolean(A,C))) = k2_xboolean ) ) ) )).
fof(t106_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A != k5_numbers => k3_xcmplx_0(A,k7_xcmplx_0(1,A)) = 1 ) ) )).
fof(t106_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,D)) & r1_xxreal_0(k7_xcmplx_0(C,D),k7_xcmplx_0(A,B)) ) ) ) ) ) )).
fof(t106_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(C,A) & ~ r1_xxreal_0(D,C) & r1_tarski(k2_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t106_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( r1_zf_model(D,E,k10_zf_lang(k10_zf_lang(A,k10_zf_lang(B,C)),k10_zf_lang(k10_zf_lang(A,B),k10_zf_lang(A,C)))) & r2_zf_model(D,k10_zf_lang(k10_zf_lang(A,k10_zf_lang(B,C)),k10_zf_lang(k10_zf_lang(A,B),k10_zf_lang(A,C)))) ) ) ) ) ) ) )).
fof(t106_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(D,k1_tarski(C))) <=> ( r2_hidden(A,D) & B = C ) ) )).
fof(t106_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => ( m1_zmodul01(C,B) <=> k7_zmodul01(A,C,B) = C ) ) ) ) )).
fof(t107_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( v4_abcmiz_1(B,A,k28_abcmiz_1(A)) <=> k45_abcmiz_1(A,B) = k1_xboole_0 ) ) ) )).
fof(t107_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r9_absred_0(A,B,C) & r1_absred_0(A,D,C) ) => r9_absred_0(A,B,D) ) ) ) ) ) )).
fof(t107_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( ( v15_aofa_000(E,A) & m1_subset_1(E,u1_struct_0(A)) ) => ! [F] : r6_aofa_000(A,B,C,E,D,F) ) ) ) ) ) )).
fof(t107_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => r2_tarski(k16_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I),k12_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),I))),G) ) ) ) ) ) ) ) ) ) )).
fof(t107_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k15_margrel1(A,B,k6_bvfunc25(A,C,D)),k15_margrel1(A,k15_margrel1(A,B,k14_margrel1(A,C)),k14_margrel1(A,D))) ) ) ) ) )).
fof(t107_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k1_bvfunc_1(A,B),C)),C) ) ) ) )).
fof(t107_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) & v1_partfun1(C,A) ) => r2_tarski(C,k4_card_3(B)) ) ) )).
fof(t107_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_chord(B,A) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( r1_xxreal_0(C,k3_finseq_1(B)) & v1_xboole_0(k4_chord(A,B,C)) ) ) ) ) )).
fof(t107_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_normsp_0(A,k5_algstr_0(A,B,C)) = k5_numbers <=> B = C ) ) ) ) )).
fof(t107_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( v1_xreal_0(H) => ( ( r1_fdiff_1(B,H) & r1_fdiff_1(C,H) & r1_fdiff_1(D,H) & r1_fdiff_1(E,H) & r1_fdiff_1(F,H) & r1_fdiff_1(G,H) ) => k8_euclid_8(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,B,A),E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A),F),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,D,A),G),H) = k7_euclid(3,k9_euclid(3,k1_euclid_8(k3_xcmplx_0(k1_funct_1(E,H),k1_fdiff_1(B,H)),k3_xcmplx_0(k1_funct_1(F,H),k1_fdiff_1(C,H)),k3_xcmplx_0(k1_funct_1(G,H),k1_fdiff_1(D,H))),A),k9_euclid(3,k1_euclid_8(k3_xcmplx_0(k1_funct_1(B,H),k1_fdiff_1(E,H)),k3_xcmplx_0(k1_funct_1(C,H),k1_fdiff_1(F,H)),k3_xcmplx_0(k1_funct_1(D,H),k1_fdiff_1(G,H))),A)) ) ) ) ) ) ) ) ) ) )).
fof(t107_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ~ ( r6_euclidlp(A,B,C) & ~ r1_xboole_0(B,C) & ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ~ ( v1_euclidlp(D,A) & r1_tarski(B,D) & r1_tarski(C,D) ) ) ) ) ) ) )).
fof(t107_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,C) ) => ! [E] : ( ( v3_card_1(E,B) & m2_finseq_1(E,C) ) => ( v3_card_1(k8_finseq_1(C,D,E),k2_xcmplx_0(A,B)) & m2_finseq_1(k8_finseq_1(C,D,E),C) ) ) ) ) ) ) )).
fof(t107_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( C = k1_nat_1(B,1) & r2_tarski(A,k2_finseq_1(C)) ) => k3_finseq_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(C),k1_tarski(A)))) = B ) ) ) ) )).
fof(t107_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zfmisc_1(B) & m2_finseq_1(B,A) ) => ~ ( ~ v1_xboole_0(B) & ! [C] : ( m1_subset_1(C,A) => B != k12_finseq_1(A,C) ) ) ) ) )).
fof(t107_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A,k2_flang_2(A,B),k8_flang_1(A,B)) = k6_flang_1(A,k8_flang_1(A,B),k2_flang_2(A,B)) ) )).
fof(t107_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v2_funct_1(A) & r1_tarski(B,k9_xtuple_0(A)) ) => k7_relat_1(k2_funct_1(A),k7_relat_1(A,B)) = B ) ) )).
fof(t107_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(k5_setfam_1(A,D),k5_setfam_1(A,k6_funct_2(A,B,C,k7_funct_2(A,B,C,D)))) ) ) ) ) )).
fof(t107_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ~ r2_hidden(B,k9_xtuple_0(A)) => r1_tarski(A,k1_funct_4(A,k17_funcop_1(B,C))) ) ) )).
fof(t107_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( k1_funct_1(D,A) = k1_funct_1(D,B) => k1_funct_1(D,C) = k1_funct_1(k3_relat_1(k1_funct_7(k6_partfun1(k9_xtuple_0(D)),A,B),D),C) ) ) )).
fof(t107_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : v1_relat_1(k3_msafree2(k43_gfacirc1(A,B,C))) )).
fof(t107_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k14_glib_001(A,B) = k14_glib_001(A,k6_glib_001(A,B)) ) ) )).
fof(t107_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => k5_group_2(A,C,k14_group_2(A,D,B)) = k14_group_2(A,D,k6_algstr_0(A,B,C)) ) ) ) ) )).
fof(t107_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( r2_tarski(B,k9_group_3(A,C)) <=> r6_group_3(A,B,C) ) ) ) ) )).
fof(t107_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ! [E] : ( ( v8_group_9(E,A,C) & m2_finseq_1(E,k6_group_9(A,C)) ) => ( ( v1_xboole_0(D) & v1_xboole_0(E) ) => r5_group_9(A,B,C,D,E) ) ) ) ) ) )).
fof(t107_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(k17_euclid(B),k5_numbers) & ~ r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) & ~ ( ~ r1_xxreal_0(k17_euclid(C),k5_numbers) & ~ r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) ) ) )).
fof(t107_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = E & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & r1_xxreal_0(k17_euclid(B),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t107_jordan2c,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_connsp_1(C,A) & v3_connsp_1(D,A) & k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) & r1_xboole_0(D,B) ) => D = C ) ) ) ) ) ) )).
fof(t107_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [B] : ( v1_xreal_0(B) => ? [C] : ( v1_xreal_0(C) & ~ r1_xxreal_0(B,C) & r2_hidden(C,k1_relset_1(k1_numbers,A)) & k1_funct_1(A,C) != k5_numbers ) ) => ( ( ~ v7_limfunc1(A) & ~ v8_limfunc1(A) ) | ( v6_limfunc1(k6_rfunct_1(k1_numbers,k1_numbers,A)) & k5_limfunc1(k6_rfunct_1(k1_numbers,k1_numbers,A)) = k5_numbers ) ) ) ) )).
fof(t107_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v3_group_1(D) & v5_group_1(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l6_algstr_0(D) ) => ! [E] : ( m1_vectsp_6(E,D,k6_prvect_1(D,C)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(D),B,C) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(D))) ) => ( ( v2_funct_1(F) & r1_tarski(k1_vectsp_6(D,k6_prvect_1(D,C),E),k9_matrix13(D,B,C,F)) & r2_tarski(A,k2_finseq_1(C)) ) => k1_funct_1(k4_vectsp_6(D,k6_prvect_1(D,C),E),A) = k4_rlvect_1(D,k8_matrix_0(u1_struct_0(D),k10_matrix13(D,C,k3_vectsp_6(D,k6_prvect_1(D,C),k11_matrix13(D,B,C,F),E)),A)) ) ) ) ) ) ) ) )).
fof(t107_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => r1_tarski(k14_member_1(A,k3_xboole_0(B,C)),k3_xboole_0(k14_member_1(A,B),k14_member_1(A,C))) ) ) ) )).
fof(t107_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) ) => r2_tarski(k1_relset_1(A,k3_mesfunc1(A,D,E)),B) ) ) ) ) ) ) )).
fof(t107_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v6_msafree5(C) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( ( v5_msafree4(E,A,C) & v6_msafree4(E,A,C) & v7_msafree4(E,A,C) & v8_msafree4(E,A,C) & l3_msualg_1(E,A) ) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ( ( v14_msafree5(E,A,C) & v9_msafree5(F,A,C,k1_msafree3(A,C),B,D) ) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),E,k5_msafree5(A,C,E),F),A,C,E,B,D) ) ) ) ) ) ) ) )).
fof(t107_ncfcont1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r14_ncfcont1(B,C,D,E) => r14_ncfcont1(B,C,D,k4_vfunct_1(u1_struct_0(B),C,E,A)) ) ) ) ) ) )).
fof(t107_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ~ ( ~ r5_pboole(A,B,C) & r2_pboole(A,C,D) & r5_pboole(A,B,D) ) ) ) ) )).
fof(t107_relat_1,axiom,( ! [A] : k6_relat_1(A,k1_xboole_0) = k1_xboole_0 )).
fof(t107_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => k21_rvsum_1(k15_rvsum_1(A,B,C)) = k3_xcmplx_0(k21_rvsum_1(B),k21_rvsum_1(C)) ) ) ) )).
fof(t107_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k1_funct_1(k9_scmpds_6(A,B,C),k5_numbers) = k9_scmpds_2(A,B,k1_nat_1(k4_card_1(C),1)) ) ) ) )).
fof(t107_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( k3_tarski(A) = k1_tarski(B) => k12_scmyciel(A) = k3_enumset1(k1_xboole_0,k1_tarski(B),k1_tarski(k4_tarski(B,k3_tarski(A))),k1_tarski(k3_tarski(A)),k2_tarski(k4_tarski(B,k3_tarski(A)),k3_tarski(A))) ) ) )).
fof(t107_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ( B = k12_seq_4(A) => v1_seq_4(B,A) ) ) ) )).
fof(t107_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,k5_sheffer1(A,B,B))) = C ) ) ) )).
fof(t107_sin_cos6,axiom,( v1_fcont_1(k5_relset_1(k1_numbers,k1_numbers,k3_sin_cos6,k1_rcomp_1(k4_xcmplx_0(1),1))) )).
fof(t107_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E))) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(D,F) = 1 ) ) & E = k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(C,F) = k7_xcmplx_0(F,A) ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),B) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),B),F) = k7_xcmplx_0(k3_xcmplx_0(2,F),k1_square_1(A)) ) ) ) ) ) ) ) ) ) )).
fof(t107_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) ) => ( r1_xxreal_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_sincos10(A)) & r1_xxreal_0(k7_sincos10(A),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))) ) ) ) )).
fof(t107_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k12_tdlat_1(A)))) => ? [C] : ( m1_subset_1(C,u1_struct_0(k12_tdlat_1(A))) & r4_lattice3(k12_tdlat_1(A),C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(k12_tdlat_1(A))) => ( r4_lattice3(k12_tdlat_1(A),D,B) => r1_lattices(k12_tdlat_1(A),C,D) ) ) ) ) ) )).
fof(t107_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_tmap_1(B,k8_tmap_1(A,B),k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),B),C) ) ) ) )).
fof(t107_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,k5_xboole_0(A,B)) <=> ( r1_tarski(C,k2_xboole_0(A,B)) & r1_xboole_0(C,k3_xboole_0(A,B)) ) ) )).
fof(t107_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k6_xboolean(k6_xboolean(A,B),k6_xboolean(k6_xboolean(C,A),k6_xboolean(C,B))) = k2_xboolean ) ) ) )).
fof(t107_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B != k5_numbers => A = k3_xcmplx_0(k3_xcmplx_0(A,B),k7_xcmplx_0(1,B)) ) ) ) )).
fof(t107_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k5_numbers,D) & ~ r1_xxreal_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,D)) & r1_xxreal_0(k7_xcmplx_0(C,D),k7_xcmplx_0(A,B)) ) ) ) ) ) )).
fof(t107_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,C) & r1_tarski(k3_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t107_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k6_zf_lang(A,B),A)) & r2_zf_model(C,k10_zf_lang(k6_zf_lang(A,B),A)) ) ) ) ) ) )).
fof(t107_zfmisc_1,axiom,( ! [A] : ! [B] : ( B != k1_xboole_0 => ( k2_zfmisc_1(k1_tarski(A),B) != k1_xboole_0 & k2_zfmisc_1(B,k1_tarski(A)) != k1_xboole_0 ) ) )).
fof(t107_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => k7_zmodul01(A,k3_zmodul01(A),B) = k3_zmodul01(A) ) ) )).
fof(t108_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_abcmiz_1(B,A,k28_abcmiz_1(A)) & v9_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k12_abcmiz_1(A)) ) => v10_abcmiz_1(k40_abcmiz_1(A,k1_subset_1(k38_abcmiz_1(A)),B),A) ) ) )).
fof(t108_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r9_absred_0(A,B,C) & r3_absred_0(A,D,C) ) => r9_absred_0(A,B,D) ) ) ) ) ) )).
fof(t108_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r7_aofa_000(A,B,C,E,D,B) ) ) ) ) ) )).
fof(t108_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => r2_tarski(k16_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I),k12_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),I))),G) ) ) ) ) ) ) ) ) ) )).
fof(t108_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,k6_bvfunc25(A,C,D)),k15_margrel1(A,k5_bvfunc_1(A,B,k14_margrel1(A,C)),k5_bvfunc_1(A,B,k14_margrel1(A,D)))) ) ) ) ) )).
fof(t108_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,B,k1_bvfunc_1(A,C))),k1_bvfunc_1(A,B)) ) ) ) )).
fof(t108_card_3,axiom,( ! [A] : ( ( v4_funct_1(A) & v2_card_3(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,A) => k9_xtuple_0(B) = k9_card_3(A) ) ) ) )).
fof(t108_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v4_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ? [C] : ( m3_chord(C,A) & C = k12_finseq_1(k6_glib_000(A),B) & v7_chord(C,A) ) ) ) )).
fof(t108_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_normsp_0(A,k5_algstr_0(A,B,C)) = k2_normsp_0(A,k5_algstr_0(A,C,B)) ) ) ) )).
fof(t108_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( v1_xreal_0(H) => ( ( r1_fdiff_1(B,H) & r1_fdiff_1(C,H) & r1_fdiff_1(D,H) & r1_fdiff_1(E,k1_funct_1(B,H)) & r1_fdiff_1(F,k1_funct_1(C,H)) & r1_fdiff_1(G,k1_funct_1(D,H)) ) => k8_euclid_8(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k26_valued_1(k1_numbers,k1_numbers,E,A)),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k26_valued_1(k1_numbers,k1_numbers,F,A)),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k26_valued_1(k1_numbers,k1_numbers,G,A)),H) = k9_euclid(3,k1_euclid_8(k3_xcmplx_0(k1_fdiff_1(E,k1_funct_1(B,H)),k1_fdiff_1(B,H)),k3_xcmplx_0(k1_fdiff_1(F,k1_funct_1(C,H)),k1_fdiff_1(C,H)),k3_xcmplx_0(k1_fdiff_1(G,k1_funct_1(D,H)),k1_fdiff_1(D,H))),A) ) ) ) ) ) ) ) ) ) )).
fof(t108_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ( ( r1_tarski(C,F) & r1_tarski(D,F) & r1_tarski(E,F) & r2_tarski(B,C) & r2_tarski(B,D) & r2_tarski(B,E) & r6_euclidlp(A,C,E) & r6_euclidlp(A,D,E) ) => C = D ) ) ) ) ) ) ) )).
fof(t108_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_finseq_2(A) = k3_tarski(a_1_3_finseq_2(A)) ) )).
fof(t108_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( D = k1_nat_1(C,1) & r2_tarski(B,k2_finseq_1(D)) & r2_tarski(A,k2_finseq_1(C)) ) => ( ( r1_xxreal_0(1,A) => ( r1_xxreal_0(B,A) | k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(D),k1_tarski(B))),A) = A ) ) & ( ( r1_xxreal_0(B,A) & r1_xxreal_0(A,C) ) => k1_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(D),k1_tarski(B))),A) = k1_nat_1(A,1) ) ) ) ) ) ) ) )).
fof(t108_finseq_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( ~ r1_xxreal_0(A,k3_finseq_1(B)) & ( r1_xxreal_0(A,k1_nat_1(k3_finseq_1(B),k3_finseq_1(C))) | r1_xxreal_0(A,k3_finseq_1(k7_finseq_1(B,C))) ) & k1_funct_1(k7_finseq_1(B,C),A) != k1_funct_1(C,k6_xcmplx_0(A,k3_finseq_1(B))) ) ) ) ) )).
fof(t108_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => k6_flang_1(A,k2_flang_2(A,B),k8_flang_1(A,B)) = k8_flang_1(A,B) ) )).
fof(t108_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_hidden(B,A) & r2_hidden(B,k9_xtuple_0(C)) ) => r2_tarski(k1_funct_1(C,B),k7_relat_1(C,A)) ) ) )).
fof(t108_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( m1_subset_1(F,A) => ( r1_tarski(k2_relset_1(C,D),k1_relset_1(C,E)) => ( A = k1_xboole_0 | k1_funct_1(k8_funct_2(A,B,C,D,E),F) = k1_funct_1(E,k1_funct_1(D,F)) ) ) ) ) ) ) )).
fof(t108_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ! [E] : ( ( r2_hidden(D,A) & r2_hidden(E,B) ) => ( v1_funct_1(k1_funct_4(C,k17_funcop_1(D,E))) & m1_subset_1(k1_funct_4(C,k17_funcop_1(D,E)),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) )).
fof(t108_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(A,k9_xtuple_0(C)) => ( r2_tarski(B,k9_xtuple_0(C)) & k1_funct_1(C,A) = k1_funct_1(C,B) ) ) => C = k3_relat_1(k1_funct_7(k6_partfun1(k9_xtuple_0(C)),A,B),C) ) ) )).
fof(t108_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & k2_msafree2(k41_gfacirc1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t108_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,C,D,B) <=> k14_glib_001(A,k2_glib_001(A,C,D,B)) = k1_tarski(B) ) ) )).
fof(t108_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( r2_tarski(B,k13_group_2(A,C,B)) & r2_tarski(B,k14_group_2(A,C,B)) ) ) ) ) )).
fof(t108_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => r2_tarski(k6_group_3(A,C,B),k9_group_3(A,C)) ) ) ) )).
fof(t108_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ! [E] : ( ( v8_group_9(E,A,C) & m2_finseq_1(E,k6_group_9(A,C)) ) => ~ ( ~ v1_xboole_0(D) & ~ v1_xboole_0(E) & ~ ( r5_group_9(A,B,C,D,E) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(k20_group_9(A,B,D)),k4_finseq_1(k20_group_9(A,B,D))) & v3_funct_2(F,k4_finseq_1(k20_group_9(A,B,D)),k4_finseq_1(k20_group_9(A,B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k20_group_9(A,B,D)),k4_finseq_1(k20_group_9(A,B,D))))) & r6_group_9(A,k20_group_9(A,B,D),k20_group_9(A,C,E),F) ) ) ) ) ) ) ) )).
fof(t108_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(C),k12_euclid(C))) ) => ( r1_xxreal_0(1,A) | r1_xxreal_0(k17_euclid(B),k5_numbers) | r1_xxreal_0(k17_euclid(C),k5_numbers) | r1_xxreal_0(k7_xcmplx_0(k18_euclid(C),k12_euclid(C)),k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) | ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E),k12_euclid(E)),k7_xcmplx_0(k18_euclid(D),k12_euclid(D))) ) ) ) ) ) ) ) ) )).
fof(t108_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = H & k18_euclid(D) = H & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & ~ r1_xxreal_0(k17_euclid(D),k17_euclid(C)) & r1_xxreal_0(k17_euclid(D),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t108_jordan2c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( v9_rltopsp1(A,k15_euclid(2)) & v1_jordan1(A) ) => r1_jordan2c(2,A,k1_jordan2c(2,A)) ) ) )).
fof(t108_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ~ ( v2_funct_1(D) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(A)) & ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_matrix_0(u1_struct_0(C),E,F) != k10_fvsum_1(k1_matrix_0(D),C,k7_matrix_0(u1_struct_0(C),D,F),G) ) ) ) & ! [F] : ( m2_vectsp_6(F,C,k6_prvect_1(C,B),k9_matrix13(C,A,B,D)) => k3_vectsp_6(C,k6_prvect_1(C,B),k11_matrix13(C,A,B,D),F) != E ) ) ) ) ) ) ) )).
fof(t108_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => k14_member_1(k12_member_1(A,B),C) = k12_member_1(A,k14_member_1(B,C)) ) ) ) )).
fof(t108_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) ) => r1_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) ) ) ) ) ) ) )).
fof(t108_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v6_msafree5(D) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,B)) => ! [F] : ( ( v5_msafree4(F,A,D) & v6_msafree4(F,A,D) & v7_msafree4(F,A,D) & v8_msafree4(F,A,D) & l3_msualg_1(F,A) ) => ( v14_msafree5(F,A,D) => ! [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,F)),k3_msualg_1(A,C,F)) => ( ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,F))) => ( r2_tarski(H,k10_xtuple_0(G)) => v9_msafree5(H,A,D,F,B,E) ) ) => ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,F))) => ( H = k1_msafree4(k3_msualg_1(A,C,F),k5_msualg_1(A,C,F),G) => v9_msafree5(H,A,D,F,B,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t108_ncfcont1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r15_ncfcont1(C,B,D,E) => r15_ncfcont1(C,B,D,k2_vfunct_2(u1_struct_0(C),B,E,A)) ) ) ) ) ) )).
fof(t108_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r5_pboole(A,C,k4_pboole(A,B,C)) ) ) )).
fof(t108_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k6_relat_1(A,k3_relat_1(B,C)) = k3_relat_1(B,k6_relat_1(A,C)) ) ) )).
fof(t108_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => k21_rvsum_1(k11_rvsum_1(A,C,B)) = k3_xcmplx_0(k19_rvsum_1(k2_finseq_2(A,B)),k21_rvsum_1(C)) ) ) ) )).
fof(t108_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( ( r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) | ( r1_scmpds_6(k9_scmpds_6(D,E,C),B,A) & r2_scmpds_6(k9_scmpds_6(D,E,C),B,A) ) ) ) ) ) ) ) ) )).
fof(t108_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => ( k8_scmyciel(A) = 1 => ! [B] : ( ( v1_finset_1(B) & v4_scmyciel(B) & v5_scmyciel(B) & m1_subset_1(B,k1_zfmisc_1(k12_scmyciel(A))) ) => r1_xxreal_0(k2_scmyciel(B),2) ) ) ) )).
fof(t108_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k12_seq_4(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( r2_tarski(C,B) => v1_seq_4(C,A) ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( C = k3_tarski(B) => v1_seq_4(C,A) ) ) ) ) ) )).
fof(t108_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,B)),k5_sheffer1(A,C,k5_sheffer1(A,B,B))),k5_sheffer1(A,B,C))) = k5_sheffer1(A,B,C) ) ) ) )).
fof(t108_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) ) => k2_xcmplx_0(k2_sin_cos6(A),k4_sin_cos6(A)) = k7_xcmplx_0(k28_sin_cos,2) ) ) )).
fof(t108_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2)))) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(D,F) = 1 ) ) & E = k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(C,F) = k7_xcmplx_0(F,A) ) ) ) => ( A = k5_numbers | ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2)),B) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2)),B),F) = k7_xcmplx_0(F,k3_xcmplx_0(A,k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(F,A))))) ) ) ) ) ) ) ) ) ) ) )).
fof(t108_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) ) => ( r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,4),k8_sincos10(A)) & r1_xxreal_0(k8_sincos10(A),k7_xcmplx_0(k28_sin_cos,2)) ) ) ) )).
fof(t108_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => v4_lattice3(k12_tdlat_1(A)) ) )).
fof(t108_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r1_tsep_1(B,C) => ( v1_funct_1(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),C)) & v1_funct_2(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),C),u1_struct_0(C),u1_struct_0(k8_tmap_1(A,B))) & v5_pre_topc(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),C),C,k8_tmap_1(A,B)) & m1_subset_1(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k8_tmap_1(A,B))))) ) ) ) ) ) )).
fof(t108_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(B,A) => r1_tarski(k3_xboole_0(B,C),A) ) )).
fof(t108_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k6_xboolean(k6_xboolean(A,k6_xboolean(A,B)),k6_xboolean(A,B)) = k2_xboolean ) ) )).
fof(t108_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B != k5_numbers => A = k3_xcmplx_0(A,k3_xcmplx_0(k7_xcmplx_0(1,B),B)) ) ) ) )).
fof(t108_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k5_numbers,D) & ~ r1_xxreal_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,D)) & r1_xxreal_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t108_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(C,A) & r1_xxreal_0(C,D) & r1_tarski(k1_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t108_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k6_zf_lang(A,B),B)) & r2_zf_model(C,k10_zf_lang(k6_zf_lang(A,B),B)) ) ) ) ) ) )).
fof(t108_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( A != B => ( r1_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),D)) & r1_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B))) ) ) )).
fof(t108_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k7_zmodul01(A,k3_zmodul01(A),k4_zmodul01(A)) = k3_zmodul01(A) ) )).
fof(t109_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k49_abcmiz_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k49_abcmiz_1)) => ( r3_orders_2(k49_abcmiz_1,A,B) <=> r1_tarski(B,A) ) ) ) )).
fof(t109_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r9_absred_0(A,B,C) & r3_absred_0(A,D,B) ) => r9_absred_0(A,B,D) ) ) ) ) ) )).
fof(t109_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r7_aofa_000(A,B,C,F,D,E) & r7_aofa_000(A,B,C,G,D,E) ) => r7_aofa_000(A,B,C,k13_aofa_000(A,F,G),D,E) ) ) ) ) ) ) ) )).
fof(t109_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),I)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t109_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k6_bvfunc_1(A,B,k6_bvfunc25(A,C,D)),k15_margrel1(A,k5_bvfunc_1(A,B,k14_margrel1(A,k5_bvfunc_1(A,C,D))),k5_bvfunc_1(A,k5_bvfunc_1(A,k14_margrel1(A,B),C),D))) ) ) ) ) )).
fof(t109_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k9_bvfunc_1(A,B,k2_bvfunc_1(A,C,D)),k9_bvfunc_1(A,B,C)) ) ) ) ) )).
fof(t109_card_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_funct_1(B) ) => ( ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(C,B) => r2_hidden(A,k9_xtuple_0(C)) ) ) => r2_hidden(A,k9_card_3(B)) ) ) )).
fof(t109_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m3_chord(B,A) => ( v7_chord(B,A) <=> ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(A)) => ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ( ( r1_chord(A,C,D) & r1_chord(A,C,E) ) => ( D = E | ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(F,k4_finseq_1(B)) & r2_tarski(G,k4_finseq_1(B)) & r2_tarski(H,k4_finseq_1(B)) & k1_funct_1(B,F) = C & k1_funct_1(B,G) = D & k1_funct_1(B,H) = E ) => ( r1_xxreal_0(G,F) | r1_xxreal_0(H,F) | r1_chord(A,D,E) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t109_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k6_xcmplx_0(k2_normsp_0(A,B),k2_normsp_0(A,C)),k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) ) )).
fof(t109_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( v1_xreal_0(H) => ( ( r1_fdiff_1(B,H) & r1_fdiff_1(C,H) & r1_fdiff_1(D,H) & r1_fdiff_1(E,H) & r1_fdiff_1(F,H) & r1_fdiff_1(G,H) ) => ( k1_funct_1(E,H) = k5_numbers | k1_funct_1(F,H) = k5_numbers | k1_funct_1(G,H) = k5_numbers | k8_euclid_8(k3_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,B,A),E),k3_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A),F),k3_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,D,A),G),H) = k9_euclid(3,k1_euclid_8(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B,H),k1_funct_1(E,H)),k3_xcmplx_0(k1_fdiff_1(E,H),k1_funct_1(B,H))),k1_square_1(k1_funct_1(E,H))),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C,H),k1_funct_1(F,H)),k3_xcmplx_0(k1_fdiff_1(F,H),k1_funct_1(C,H))),k1_square_1(k1_funct_1(F,H))),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(D,H),k1_funct_1(G,H)),k3_xcmplx_0(k1_fdiff_1(G,H),k1_funct_1(D,H))),k1_square_1(k1_funct_1(G,H)))),A) ) ) ) ) ) ) ) ) ) ) )).
fof(t109_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ~ ( r7_euclidlp(A,B,C) & r6_euclidlp(A,B,C) & r1_xboole_0(B,C) ) ) ) ) )).
fof(t109_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,C) ) => m2_finseq_2(D,B,k4_finseq_2(A,B)) ) ) ) ) )).
fof(t109_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( k3_finseq_1(C) = k1_nat_1(A,1) & r2_tarski(B,k1_relset_1(k4_ordinal1,C)) ) => k3_finseq_1(k2_finseq_3(B,C)) = A ) ) ) ) )).
fof(t109_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m2_finseq_1(C,A) => ( r1_xxreal_0(1,k3_finseq_1(C)) => ( k1_funct_1(k7_finseq_1(C,k9_finseq_1(B)),1) = k1_funct_1(C,1) & k1_funct_1(k7_finseq_1(C,k9_finseq_1(B)),1) = k7_partfun1(A,C,1) & k1_funct_1(k7_finseq_1(k9_finseq_1(B),C),k1_nat_1(k3_finseq_1(C),1)) = k1_funct_1(C,k3_finseq_1(C)) & k1_funct_1(k7_finseq_1(k9_finseq_1(B),C),k1_nat_1(k3_finseq_1(C),1)) = k7_partfun1(A,C,k3_finseq_1(C)) ) ) ) ) )).
fof(t109_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k7_flang_1(A,k2_flang_2(A,B),C),k8_flang_1(A,B)) ) ) )).
fof(t109_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( A != k1_xboole_0 & r1_tarski(A,k9_xtuple_0(B)) & k7_relat_1(B,A) = k1_xboole_0 ) ) )).
fof(t109_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( m1_subset_1(F,A) => ( r1_tarski(k2_relset_1(C,D),k1_relset_1(C,E)) => ( A = k1_xboole_0 | k1_funct_1(k8_funct_2(A,B,C,D,E),F) = k7_partfun1(B,E,k1_funct_1(D,F)) ) ) ) ) ) ) )).
fof(t109_funct_4,axiom,( ! [A] : ! [B] : ! [C] : k9_xtuple_0(k1_funct_4(k7_funcop_1(C,B),k17_funcop_1(C,A))) = k1_ordinal1(C) )).
fof(t109_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_4(A,k17_funcop_1(B,k1_funct_1(A,B))) = A ) ) )).
fof(t109_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & k2_msafree2(k43_gfacirc1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t109_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => r1_tarski(k14_glib_001(A,B),k21_glib_000(A,k13_glib_001(A,B))) ) ) )).
fof(t109_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( k13_group_2(A,B,k1_group_1(A)) = k8_group_2(A,B) & k14_group_2(A,B,k1_group_1(A)) = k8_group_2(A,B) ) ) ) )).
fof(t109_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => r2_tarski(B,k9_group_3(A,B)) ) ) )).
fof(t109_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ~ ( r4_group_9(A,B,C,D) & v10_group_9(D,A,B) & ~ r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(D)) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(k20_group_9(A,B,C))) & ! [F] : ( ( ~ v2_struct_0(F) & v2_group_1(F) & v3_group_1(F) & v3_group_9(F,A) & l1_group_9(F,A) ) => ( F = k1_funct_1(k20_group_9(A,B,C),E) => v7_struct_0(F) ) ) ) ) ) ) ) ) )).
fof(t109_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(k17_euclid(B),k5_numbers) & ~ r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k17_euclid(C),k5_numbers) & ~ r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(C),k12_euclid(C))) & ~ r1_xxreal_0(k7_xcmplx_0(k18_euclid(C),k12_euclid(C)),k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E),k12_euclid(E)),k7_xcmplx_0(k18_euclid(D),k12_euclid(D))) ) ) ) ) ) ) )).
fof(t109_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = H & k18_euclid(D) = H & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & ~ r1_xxreal_0(k17_euclid(D),k17_euclid(C)) & r1_xxreal_0(k17_euclid(D),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t109_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & r2_tarski(C,k3_topreal1(2,k1_sprect_1(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,k1_jordan2c(2,k3_topreal1(2,k1_sprect_1(A)))) & ~ r1_xxreal_0(B,k12_euclid(k5_algstr_0(k15_euclid(2),C,D))) ) ) ) ) ) ) )).
fof(t109_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => k12_member_1(k14_member_1(A,B),C) = k14_member_1(k12_member_1(A,C),B) ) ) ) )).
fof(t109_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) & ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k9_subset_1(A,k1_relset_1(A,D),k1_relset_1(A,E)) & k7_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) = k3_supinf_2(k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,F)),k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,E,F))) ) ) ) ) ) ) ) ) )).
fof(t109_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v6_msafree5(C) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( ( v5_msafree4(E,A,C) & v6_msafree4(E,A,C) & v7_msafree4(E,A,C) & v8_msafree4(E,A,C) & l3_msualg_1(E,A) ) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [G] : ( ( v13_msafree5(G,A,C,E,B,D) & m1_msafree5(G,A,k1_msafree3(A,C),E) ) => ( ( v14_msafree5(E,A,C) & v9_msafree5(F,A,C,k1_msafree3(A,C),B,D) ) => v9_msafree5(k4_msafree5(A,k1_msafree3(A,C),E,G,F),A,C,E,B,D) ) ) ) ) ) ) ) ) )).
fof(t109_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r13_ncfcont1(A,B,C,D) => ( r13_ncfcont1(A,B,C,k5_vfunct_1(u1_struct_0(A),B,D)) & r17_ncfcont1(A,C,k4_normsp_0(u1_struct_0(A),B,D)) ) ) ) ) ) )).
fof(t109_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r5_pboole(A,k3_pboole(A,B,C),k4_pboole(A,B,C)) ) ) )).
fof(t109_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k5_relat_1(k6_relat_1(B,C),A) = k6_relat_1(B,k5_relat_1(C,A)) ) )).
fof(t109_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => k21_rvsum_1(k13_rvsum_1(A,B)) = k1_square_1(k21_rvsum_1(B)) ) ) )).
fof(t109_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) => ( r1_scmpds_6(k9_scmpds_6(D,E,C),B,A) & r2_scmpds_6(k9_scmpds_6(D,E,C),B,A) ) ) ) ) ) ) ) )).
fof(t109_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => ( r1_xxreal_0(2,k8_scmyciel(A)) => ! [B] : ( ( v1_finset_1(B) & v4_scmyciel(B) & v5_scmyciel(B) & m1_subset_1(B,k1_zfmisc_1(k12_scmyciel(A))) ) => r1_xxreal_0(k2_scmyciel(B),k8_scmyciel(A)) ) ) ) )).
fof(t109_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( ( v1_seq_4(B,A) & v1_seq_4(C,A) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) => ( D = k9_subset_1(k12_seq_4(A),B,C) => v1_seq_4(D,A) ) ) ) ) ) ) )).
fof(t109_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,B)),k5_sheffer1(A,C,B)) = C ) ) ) )).
fof(t109_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) ) => k6_xcmplx_0(k4_sin_cos6(k4_xcmplx_0(A)),k2_sin_cos6(A)) = k7_xcmplx_0(k28_sin_cos,2) ) ) )).
fof(t109_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2))))) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => ( k1_funct_1(C,F) = k7_xcmplx_0(F,A) & ~ r1_xxreal_0(k1_funct_1(C,F),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(C,F)) ) ) ) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(D,F) = 1 ) ) & E = k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(C,F) = k7_xcmplx_0(F,A) ) ) ) => ( A = k5_numbers | ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2))),B) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2))),B),F) = k1_funct_1(k1_sin_cos9,k7_xcmplx_0(F,A)) ) ) ) ) ) ) ) ) ) ) )).
fof(t109_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(k3_square_1(2),A) & ~ ( ~ r1_xxreal_0(k5_sincos10(A),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,4),k5_sincos10(A)) ) ) ) )).
fof(t109_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v3_tdlat_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_tdlat_1(A)))) => ( C = B => k15_lattice3(k12_tdlat_1(A),C) = k1_tops_1(A,k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B))) ) ) ) ) ) )).
fof(t109_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ( v1_funct_1(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),B)) & v1_funct_2(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),B),u1_struct_0(B),u1_struct_0(k8_tmap_1(A,B))) & v5_pre_topc(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),B),B,k8_tmap_1(A,B)) & m1_subset_1(k2_tmap_1(A,k8_tmap_1(A,B),k9_tmap_1(A,B),B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k8_tmap_1(A,B))))) ) ) ) )).
fof(t109_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(B,A) => r1_tarski(k4_xboole_0(B,C),A) ) )).
fof(t109_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k6_xboolean(k6_xboolean(A,k6_xboolean(B,C)),k6_xboolean(k6_xboolean(A,B),k6_xboolean(A,C))) = k2_xboolean ) ) ) )).
fof(t109_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B != k5_numbers => A = k3_xcmplx_0(k3_xcmplx_0(A,k7_xcmplx_0(1,B)),B) ) ) ) )).
fof(t109_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k3_xcmplx_0(C,B),k3_xcmplx_0(A,D)) & r1_xxreal_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t109_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(C,A) & r1_xxreal_0(C,D) & r1_tarski(k1_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t109_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k6_zf_lang(A,B),k6_zf_lang(B,A))) & r2_zf_model(C,k10_zf_lang(k6_zf_lang(A,B),k6_zf_lang(B,A))) ) ) ) ) ) )).
fof(t109_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( k2_zfmisc_1(k2_tarski(A,B),C) = k2_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),C)) & k2_zfmisc_1(C,k2_tarski(A,B)) = k2_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(C,k1_tarski(B))) ) )).
fof(t109_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => k7_zmodul01(A,k4_zmodul01(A),B) = B ) ) )).
fof(t10_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l2_abcmiz_0(A) ) => ( v9_abcmiz_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => r1_tarski(k2_abcmiz_0(A,C),k2_abcmiz_0(A,B)) ) ) ) ) ) )).
fof(t10_abcmiz_1,axiom,( ! [A] : k1_abcmiz_1(k3_tarski(A)) = k3_tarski(a_1_0_abcmiz_1(A)) )).
fof(t10_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => r1_subset_1(k2_abcmiz_1,u4_struct_0(A)) ) )).
fof(t10_abian,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( m1_subset_1(D,B) => k3_funct_2(B,B,k1_abian(B,C,k1_nat_1(A,1)),D) = k3_funct_2(B,B,C,k3_funct_2(B,B,k1_abian(B,C,A),D)) ) ) ) ) )).
fof(t10_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_absred_0(A,B,C) => r3_absred_0(A,B,C) ) ) ) ) )).
fof(t10_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(k7_xcmplx_0(A,B),k5_numbers) => k3_square_1(k7_xcmplx_0(A,B)) = k7_xcmplx_0(k3_square_1(k9_complex1(A)),k3_square_1(k9_complex1(B))) ) ) ) )).
fof(t10_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => m2_finseq_2(k8_finseq_1(A,k9_finseq_4(A,B,C,D,E),k9_finseq_4(A,F,G,H,I)),A,k4_finseq_2(8,A)) ) ) ) ) ) ) ) ) ) )).
fof(t10_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_aff_1(A,B,C,D) & r1_aff_1(A,B,C,E) ) => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t10_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v1_aff_2(A) <=> ( v2_aff_2(A) & v13_aff_2(A) ) ) ) )).
fof(t10_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v4_aff_3(A) => v6_aff_3(A) ) ) )).
fof(t10_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,F) & r2_tarski(C,G) & r2_tarski(E,G) & B = D ) => ( ( ~ r5_aff_1(A,F,G) & ~ r5_aff_1(A,G,F) ) | F = G | ( ~ r2_analoaf(A,B,C,D,E) & ~ r2_analoaf(A,C,B,E,D) ) | C = E ) ) ) ) ) ) ) ) ) )).
fof(t10_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( r1_tarski(k10_xtuple_0(B),k9_xtuple_0(A)) => ( v1_relat_1(k3_relat_1(B,A)) & v5_ordinal1(k3_relat_1(B,A)) & v1_funct_1(k3_relat_1(B,A)) & v1_finset_1(k3_relat_1(B,A)) ) ) ) ) )).
fof(t10_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => k2_afinsq_2(A,k5_numbers) = A ) )).
fof(t10_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_aff_4(B,A) => ! [C] : ( r2_tarski(C,k6_afproj(A,B)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & C = D & v1_aff_4(D,A) & r1_aff_4(A,B,D) ) ) ) ) ) )).
fof(t10_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,D,E,C,B) & r2_analoaf(A,D,H,G,F) ) => E = H ) ) ) ) ) ) ) ) ) )).
fof(t10_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect01(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_afvect01(A,B,C) & r2_analoaf(A,B,C,C,D) ) => B = D ) ) ) ) ) )).
fof(t10_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( r4_alg_1(A,B,C) & D = k2_funct_1(C) ) => r4_alg_1(B,A,D) ) ) ) ) ) )).
fof(t10_algseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ~ ( k1_algseq_1(B,C) = k1_nat_1(A,1) & k1_funct_1(C,A) = k4_struct_0(B) ) ) ) ) )).
fof(t10_algspec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k9_xtuple_0(B) = A => k1_algspec1(A,B) = B ) ) )).
fof(t10_algstr_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_algstr_0)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_algstr_0)) => k6_algstr_0(k8_algstr_0,A,B) = k5_struct_0(k8_algstr_0) ) ) )).
fof(t10_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_algstr_1(A) & v4_algstr_1(A) & v7_algstr_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_0(A,B,k4_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_algstr_0(A,B,C) = k4_struct_0(A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_algstr_0(A,k1_algstr_0(A,B,C),D) = k1_algstr_0(A,B,k1_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,B,C) = k1_algstr_0(A,C,B) ) ) & k4_struct_0(A) != k5_struct_0(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k5_struct_0(A),B) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,D) != C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,B) != C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,B,D) => ( B = k4_struct_0(A) | C = D ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = k6_algstr_0(A,D,B) => ( B = k4_struct_0(A) | C = D ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k4_struct_0(A)) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k4_struct_0(A),B) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,k1_algstr_0(A,C,D)) = k1_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k1_algstr_0(A,C,D),B) = k1_algstr_0(A,k6_algstr_0(A,C,B),k6_algstr_0(A,D,B)) ) ) ) ) ) ) )).
fof(t10_algstr_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_algstr_4(B,A) <=> r1_tarski(k2_group_2(A,B,B),B) ) ) ) )).
fof(t10_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_tarski(k8_mcart_1(u4_struct_0(A),u4_struct_0(A),k2_cat_1(A,C,D),k2_cat_1(A,B,C)),k9_xtuple_0(u1_cat_1(A))) ) ) ) ) )).
fof(t10_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) & ? [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) & v5_altcat_3(E,A,B,C) & v5_altcat_3(F,A,C,D) & ~ v5_altcat_3(k5_altcat_1(A,B,C,D,E,F),A,B,D) ) ) ) ) ) ) ) )).
fof(t10_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v7_altcat_3(C,A) & r2_altcat_3(A,B,C) ) => v7_altcat_3(B,A) ) ) ) ) )).
fof(t10_altcat_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(k7_altcat_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(k7_altcat_1(A))))) ) => r2_tarski(k4_card_3(C),A) ) => v4_altcat_5(k7_altcat_1(A)) ) ) )).
fof(t10_altcat_6,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( r2_tarski(k3_card_3(k3_msafree(A,C)),B) => ( v1_altcat_6(k4_altcat_6(A,B,C),k7_altcat_1(B),A,C,k2_altcat_6(A,B,C)) & v2_altcat_6(k4_altcat_6(A,B,C),k7_altcat_1(B),A,C,k2_altcat_6(A,B,C)) ) ) ) ) )).
fof(t10_ami_2,axiom,( ! [A] : ( m2_subset_1(A,k1_ami_2,k2_ami_2) => k5_card_3(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) = k4_numbers ) )).
fof(t10_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( A != B & k10_ami_3(A) = k10_ami_3(B) ) ) ) )).
fof(t10_ami_4,axiom,( r2_extpro_1(k5_card_1(2),k1_ami_3,k1_ami_4,k7_memstr_0(k5_card_1(2),k1_ami_3,k5_numbers),k2_ami_4) )).
fof(t10_ami_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( k5_compos_0(u1_compos_1(k1_ami_3),A) = 3 & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k4_ami_3(B,C) ) ) ) ) )).
fof(t10_ami_6,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_ami_3))) => ( A = 7 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3),A))) = k1_tarski(1) ) ) )).
fof(t10_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => v1_ami_wstd(B,A) ) ) )).
fof(t10_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_compos_1(k4_amistd_1(A))) => ( k5_compos_0(u1_compos_1(k4_amistd_1(A)),C) = 1 => k1_amistd_1(A,k4_amistd_1(A),B,C) = k6_domain_1(k4_ordinal1,k1_nat_1(B,1)) ) ) ) ) )).
fof(t10_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,A) & v3_memstr_0(C,A) & l1_extpro_1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,C)) & v1_partfun1(D,u1_struct_0(C)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(C)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(C)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(C)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r1_tarski(E,F) & r1_tarski(E,G) & ! [H] : ( v7_ordinal1(H) => ( ~ r1_xxreal_0(B,H) => r2_tarski(k5_memstr_0(A,C,k5_extpro_1(A,C,G,D,H)),k2_afinsq_1(E)) ) ) ) => ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(H,B) => r8_pboole(u1_struct_0(C),k5_extpro_1(A,C,F,D,H),k5_extpro_1(A,C,G,D,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) <=> v1_xboole_0(k2_amistd_4(A,B,C)) ) ) ) ) )).
fof(t10_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) & v1_finset_1(D) & ~ v2_compos_1(D,B) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & ~ v1_xboole_0(E) & v1_finset_1(E) ) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(E)) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => ( ( r1_tarski(E,F) & v4_extpro_1(k9_memstr_0(A,B,E,C),A,B,k6_compos_1(B,D,C)) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(B)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( r1_tarski(D,G) => ! [H] : ( v7_ordinal1(H) => r6_pboole(u1_struct_0(B),k5_extpro_1(A,B,G,F,H),k10_memstr_0(A,B,k5_extpro_1(A,B,k1_funct_4(G,k6_compos_1(B,D,C)),k1_funct_4(F,k9_memstr_0(A,B,E,C)),H),C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_analmetr(A,E,F) & r2_analmetr(A,B,C,E,F) & r2_analmetr(A,B,D,E,F) ) => ( r2_analmetr(A,B,k3_rlvect_1(A,C,D),E,F) & r2_analmetr(A,B,k5_algstr_0(A,C,D),E,F) ) ) ) ) ) ) ) ) )).
fof(t10_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analoaf(A,B,C,C,B) => B = C ) ) ) ) )).
fof(t10_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => k2_analort(A,D,E,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k2_analort(A,D,E,B),k2_analort(A,D,E,C)) ) ) ) ) ) ) )).
fof(t10_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( B != k4_struct_0(A) & C != k4_struct_0(A) & D != k4_struct_0(A) ) => r2_anproj_1(A,B,C,D) ) ) ) ) ) )).
fof(t10_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ? [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) & k3_funct_2(A,k1_numbers,C,B) = 1 & ! [D] : ( r2_tarski(D,A) => ( D = B | k1_funct_1(C,D) = k5_numbers ) ) ) ) ) )).
fof(t10_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ~ ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & ~ r1_tarski(k5_aofa_000(A,C),D) & ! [E] : ( v7_ordinal1(E) => ~ ( k1_funct_1(k7_aofa_000(A,D,B),C) = k1_funct_1(k8_funct_7(A,E),C) & ~ r2_hidden(k1_funct_1(k8_funct_7(A,E),C),D) & ! [F] : ( v7_ordinal1(F) => ( ~ r1_xxreal_0(E,F) => r2_tarski(k1_funct_1(k8_funct_7(A,F),C),D) ) ) ) ) ) ) ) )).
fof(t10_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & v3_aofa_a00(C,A,B) & v1_aofa_a01(C,A) & l1_aofa_a00(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree4(D,A,C) & v17_aofa_a00(D,A) & v20_aofa_a00(D,4,1,A) & l3_msualg_1(D,A) ) => k2_aofa_a01(A,D) = k6_margrel1 ) ) ) ) )).
fof(t10_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,k1_card_1(A),A) & v2_funct_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_card_1(A),A))) ) => r2_tarski(k1_funct_1(B,k5_numbers),A) ) ) )).
fof(t10_aofa_l00,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( B != C & k10_ordinal2(A,B) = k10_ordinal2(A,C) ) ) ) ) )).
fof(t10_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_armstrng(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_armstrng(A))) => ( r2_hidden(k4_tarski(B,C),k5_armstrng(A)) <=> r2_armstrng(A,B,C) ) ) ) ) )).
fof(t10_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,k2_arrow(A)) => ~ ( B != C & B != D & ! [F] : ( m1_subset_1(F,k2_arrow(A)) => ~ ( ~ r1_arrow(F,C,B) & ~ r1_arrow(F,D,B) & ~ ( ~ r1_arrow(F,D,C) & r1_arrow(E,D,C) ) & ~ ( ~ r1_arrow(E,D,C) & r1_arrow(F,D,C) ) & ~ ( ~ r1_arrow(F,C,D) & r1_arrow(E,C,D) ) & ~ ( ~ r1_arrow(E,C,D) & r1_arrow(F,C,D) ) ) ) ) ) ) ) ) ) )).
fof(t10_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m1_subset_1(D,k1_numbers) => ( k5_arytm_0(A,B) = k5_arytm_0(C,D) => ( A = C & B = D ) ) ) ) ) ) )).
fof(t10_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( ( r1_arytm_2(A,B) & k1_arytm_1(B,A) = k11_arytm_3 ) => A = B ) ) ) )).
fof(t10_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ~ ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( k7_arytm_2(A,C) != B & k7_arytm_2(B,C) != A ) ) ) ) )).
fof(t10_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( ( r2_tarski(k1_xboole_0,B) & r2_arytm_3(A,B) ) => r1_ordinal1(A,B) ) ) ) )).
fof(t10_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_tarski(A,k6_asympt_0(A)) ) )).
fof(t10_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => k8_nat_1(k1_numbers,A,B) = k2_xcmplx_0(k6_xcmplx_0(k2_nat_1(3,k5_series_1(10,6)),k2_nat_1(k2_nat_1(18,k5_series_1(10,3)),B)),k3_xcmplx_0(27,k1_square_1(B))) ) => r2_tarski(A,k6_asympt_0(k3_asympt_1(2))) ) ) )).
fof(t10_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r1_pzfmisc1(A,B,C) & r1_pzfmisc1(A,C,D) ) => r1_pzfmisc1(A,B,D) ) ) ) ) )).
fof(t10_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_autgroup(A))) => ( B = C => k2_funct_1(B) = k2_group_1(k3_autgroup(A),C) ) ) ) ) )).
fof(t10_bagorder,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( v1_wellfnd1(A) & v1_bagorder(B,A) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k8_nat_1(u1_struct_0(A),B,C) != k8_nat_1(u1_struct_0(A),B,D) ) ) ) ) ) )).
fof(t10_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),k1_bcialg_1(A,C,B)),k1_bcialg_1(A,B,k1_bcialg_1(A,B,k1_bcialg_1(A,C,k1_bcialg_1(A,C,B))))) = k4_struct_0(A) ) ) ) )).
fof(t10_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,D),C,E) = k1_bcialg_2(A,B,C,k2_xcmplx_0(D,E)) ) ) ) ) ) )).
fof(t10_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_3(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_bcialg_1(A,B,k1_bcialg_1(A,C,k1_bcialg_1(A,C,B))) = k1_bcialg_1(A,B,C) & k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,k1_bcialg_1(A,B,C),B)) = k1_bcialg_1(A,B,C) ) ) ) ) ) )).
fof(t10_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_4(A,k1_bcialg_4(A,B,C),D) = k1_bcialg_4(A,B,k1_bcialg_4(A,C,D)) ) ) ) ) )).
fof(t10_bcialg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k1_bcialg_5(A,B,C,D,k1_nat_1(E,1)) = k1_bcialg_1(A,k1_bcialg_5(A,B,C,D,E),k1_bcialg_1(A,C,B)) ) ) ) ) ) )).
fof(t10_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,k2_bcialg_1(A,B),C) = k2_bcialg_6(A,B,k4_xcmplx_0(C)) ) ) ) )).
fof(t10_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( m2_bcialg_1(k5_bcialg_1(A),A) => ( v12_bcialg_1(k5_bcialg_1(A),A) & m2_bcialg_1(k5_bcialg_1(A),A) ) ) ) )).
fof(t10_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_bhsp_1(A,k4_algstr_0(A,B),k4_algstr_0(A,C)) = k2_bhsp_1(A,B,C) ) ) ) )).
fof(t10_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_funct_1(C) & r2_tarski(B,k10_xtuple_0(C)) ) => k1_bhsp_2(A,C) = B ) ) ) ) )).
fof(t10_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v3_bhsp_3(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_4(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),E),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,B),F)))) ) ) ) ) ) ) ) ) )).
fof(t10_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_tarski(C,k9_xtuple_0(D)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(E)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,C) => k1_funct_1(E,F) = k1_funct_1(u1_bhsp_1(A),k4_tarski(B,k1_funct_1(D,F))) ) ) ) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( v2_funct_1(F) & k10_xtuple_0(F) = C ) => k1_funct_1(u1_bhsp_1(A),k4_tarski(B,k1_finsop_1(u1_struct_0(A),k4_bhsp_5(u1_struct_0(A),u1_struct_0(A),D,F),u1_algstr_0(A)))) = k1_finsop_1(k1_numbers,k4_bhsp_5(k1_numbers,u1_struct_0(A),E,F),k9_binop_2) ) ) ) ) ) ) ) ) ) )).
fof(t10_bhsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v3_bhsp_3(A) & l1_bhsp_1(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A),u1_struct_0(A)) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_bhsp_6(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(D) & r1_tarski(D,B) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(E) & r1_tarski(E,B) & r1_xboole_0(D,E) & r1_xxreal_0(C,k3_bhsp_1(A,k1_bhsp_6(A,E))) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => r2_funct_2(u1_struct_0(C),u1_struct_0(A),k7_bilinear(A,B,C,k1_bilinear(A,B,C),D),k7_hahnban1(A,C)) ) ) ) ) )).
fof(t10_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C))) = k6_xcmplx_0(k6_binarith(A,B),k16_funcop_1(k4_ordinal1,C,k6_margrel1,k5_numbers,k5_series_1(2,A))) ) ) ) )).
fof(t10_binari_3,axiom,( k1_binari_2(1) = k10_binarith(k5_margrel1,k7_margrel1) )).
fof(t10_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(B,C),k6_xcmplx_0(k5_series_1(2,A),1)) => k8_binarith(A,k1_binari_3(A,B),k1_binari_3(A,C)) = k6_margrel1 ) ) ) ) )).
fof(t10_binarith,axiom,( ! [A] : ( v1_xboolean(A) => k5_xboolean(A,k7_margrel1) = k7_margrel1 ) )).
fof(t10_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_binom(A,B,k2_xcmplx_0(C,D)) = k6_algstr_0(A,k2_binom(A,B,C),k2_binom(A,B,D)) ) ) ) ) )).
fof(t10_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( ( r3_binop_1(A,C,B) & r3_binop_1(A,D,B) ) => C = D ) ) ) ) )).
fof(t10_binop_2,axiom,( k3_binop_1(k4_ordinal1,k24_binop_2) = 1 )).
fof(t10_bintree1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & v2_dtconstr(A) & v3_bintree1(A) & l1_lang1(A) ) => ! [B] : ( m1_trees_4(B,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lang1(A,C,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),B)) => ( m2_subset_1(C,u1_struct_0(A),k7_dtconstr(A)) & k4_finseq_1(B) = k2_tarski(1,2) & r2_tarski(1,k4_finseq_1(B)) & r2_tarski(2,k4_finseq_1(B)) & ? [D] : ( m1_dtconstr(D,u1_struct_0(A),k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) & ? [E] : ( m1_dtconstr(E,u1_struct_0(A),k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) & k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),B) = k4_pre_poly(u1_struct_0(A),k1_bintree1(u1_struct_0(A),D),k1_bintree1(u1_struct_0(A),E)) & D = k1_funct_1(B,1) & E = k1_funct_1(B,2) & k8_trees_4(u1_struct_0(A),C,B) = k6_trees_4(C,D,E) & r2_tarski(D,k2_relset_1(k5_trees_3(u1_struct_0(A)),B)) & r2_tarski(E,k2_relset_1(k5_trees_3(u1_struct_0(A)),B)) ) ) ) ) ) ) ) )).
fof(t10_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( A = k3_finseq_2(k7_domain_1(k4_ordinal1,k5_numbers,1)) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k5_euclid(B),k2_trees_2(A,B)) ) ) ) )).
fof(t10_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_lattices(A,B,C) & r3_lattices(A,B,D) & r1_boolealg(A,k4_lattices(A,C,D),k5_lattices(A)) ) => r1_boolealg(A,B,k5_lattices(A)) ) ) ) ) ) )).
fof(t10_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_boolmark(A,B,C) <=> r2_boolmark(A,B,k12_finseq_1(u4_struct_0(A),C)) ) ) ) ) )).
fof(t10_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v7_ordinal1(E) => ( r1_bor_cant(A,B,C,D) => k3_funct_2(B,k1_numbers,C,k1_prob_2(A,B,k1_prob_3(A,k2_prob_1(A,D)),E)) = k1_funct_1(k1_series_3(k8_prob_1(A,B,k2_prob_1(A,D),C)),E) ) ) ) ) ) ) )).
fof(t10_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_borsuk_1(A,B))) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = k4_borsuk_1(A,B,D,E) ) ) ) ) ) )).
fof(t10_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & v5_pre_topc(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & v5_pre_topc(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(C,D)))) => ( v3_pre_topc(G,k2_borsuk_1(C,D)) => v3_pre_topc(k8_relset_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(k2_borsuk_1(C,D)),k3_borsuk_2(A,C,B,D,E,F),G),k2_borsuk_1(A,B)) ) ) ) ) ) ) ) ) )).
fof(t10_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( ( v3_pre_topc(C,k2_borsuk_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) => ! [D] : ~ ( r1_tarski(k2_zfmisc_1(k1_tarski(D),u1_struct_0(B)),C) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(B)) ) => ? [F] : ( r2_hidden(F,u1_struct_0(B)) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k1_funct_1(E,F) = k1_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(B)),G,H) & r2_hidden(k4_tarski(D,F),k3_borsuk_1(A,B,G,H)) & v3_pre_topc(G,A) & v3_pre_topc(H,B) & r1_tarski(k3_borsuk_1(A,B,G,H),C) ) ) ) ) ) ) ) ) ) )).
fof(t10_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = k3_rcomp_1(B,C) => ( r1_xxreal_0(C,B) | r1_tarski(k1_rcomp_1(B,C),u1_struct_0(k5_topmetr)) ) ) ) ) ) )).
fof(t10_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r1_xxreal_0(D,E) & A = k3_rcomp_1(C,D) & B = k4_rcomp_1(E,F) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(F,E) | r1_connsp_1(k3_topmetr,A,B) ) ) ) ) ) ) ) ) )).
fof(t10_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( A = a_0_0_borsuk_6 & B = a_0_1_borsuk_6 ) => k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k2_jgraph_2(1,k5_numbers,k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)),A) = B ) ) ) )).
fof(t10_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k19_sin_cos(A) = k19_sin_cos(B) & ! [C] : ( v1_int_1(C) => ( A != k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C)) & A != k2_xcmplx_0(k4_xcmplx_0(B),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C)) ) ) ) ) ) )).
fof(t10_brouwer,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,k2_brouwer(2,B,A)) ) => ~ ( C = k7_toprealb(2,B,A) & r1_borsuk_1(k2_brouwer(2,B,A),C) ) ) ) ) )).
fof(t10_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v4_pre_topc(C,k15_euclid(A)) & r2_tarski(B,k2_tops_1(k15_euclid(A),C)) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(k15_euclid(A),C)),u1_struct_0(k1_pre_topc(k15_euclid(A),D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)),u1_struct_0(k1_pre_topc(k15_euclid(A),D))))) ) => ( v3_tops_2(E,k1_pre_topc(k15_euclid(A),C),k1_pre_topc(k15_euclid(A),D)) => r2_tarski(k1_funct_1(E,B),k2_tops_1(k15_euclid(A),D)) ) ) ) ) ) ) ) )).
fof(t10_bspace,axiom,( ! [A] : ! [B] : ( k3_bspace(A,B) = k4_struct_0(k2_bspace) <=> ~ r2_tarski(B,A) ) )).
fof(t10_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,B,C,E),C,D)) ) ) ) ) ) )).
fof(t10_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ( B = k2_enumset1(C,D,E,F) => ( C = F | D = F | E = F | k5_bvfunc_2(A,F,B) = k2_partit1(A,k2_partit1(A,C,E),D) ) ) ) ) ) ) ) ) )).
fof(t10_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k15_margrel1(A,B,k6_bvfunc_1(A,C,D)),k6_bvfunc_1(A,k15_margrel1(A,B,C),k15_margrel1(A,B,D))) ) ) ) ) )).
fof(t10_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,k12_bvfunc_1(A)),k12_bvfunc_1(A)) ) ) )).
fof(t10_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_eqrel_1(D,A) => r2_funct_2(A,k5_margrel1,k7_bvfunc_2(A,k11_bvfunc_1(A),B,D),k11_bvfunc_1(A)) ) ) ) ) )).
fof(t10_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k5_bvfunc_1(A,C,D),B,E),k5_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k6_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t10_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k12_bvfunc_1(A)) <=> ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,C,B),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t10_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k1_bvfunc_1(A,C)),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,B),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t10_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,B,k2_bvfunc_1(A,C,k1_bvfunc_1(A,C))),k1_bvfunc_1(A,B)),k12_bvfunc_1(A)) ) ) ) )).
fof(t10_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m2_c0sp1(k7_c0sp1(A),k12_funcsdom(A)) ) )).
fof(t10_c0sp2,axiom,( ! [A] : ( l1_lopban_2(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v2_funcsdom(B) & l1_funcsdom(B) ) => ( g1_funcsdom(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_rlvect_1(A),u3_struct_0(A),u2_struct_0(A)) = B => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_funcsdom(A) & l1_funcsdom(A) ) ) ) ) )).
fof(t10_calcul_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_xxreal_0(1,k3_finseq_1(k7_finseq_1(B,k9_finseq_1(A)))) & r2_tarski(k3_finseq_1(k7_finseq_1(B,k9_finseq_1(A))),k1_relset_1(k4_ordinal1,k7_finseq_1(B,k9_finseq_1(A)))) ) ) )).
fof(t10_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => k3_finseq_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)))) = k3_finseq_1(B) ) ) ) )).
fof(t10_cantor_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = a_2_0_cantor_1(A,B) => k8_setfam_1(A,C) = k8_setfam_1(A,k5_setfam_1(k9_setfam_1(A),B)) ) ) ) )).
fof(t10_card_1,axiom,( ! [A] : ! [B] : ( r1_ordinal1(k1_card_1(A),k1_card_1(B)) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v2_funct_1(C) & k9_xtuple_0(C) = A & r1_tarski(k10_xtuple_0(C),B) ) ) )).
fof(t10_card_2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ! [C] : ! [D] : ( C != D => ( r2_wellord2(k1_card_2(A,B),k2_xboole_0(k2_zfmisc_1(A,k1_tarski(C)),k2_zfmisc_1(B,k1_tarski(D)))) & k1_card_2(A,B) = k1_card_1(k2_xboole_0(k2_zfmisc_1(A,k1_tarski(C)),k2_zfmisc_1(B,k1_tarski(D)))) ) ) ) ) )).
fof(t10_card_3,axiom,( k4_card_3(k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(t10_card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ( v4_card_3(A) => v4_card_3(k4_finseq_2(B,A)) ) ) ) )).
fof(t10_card_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( k10_xtuple_0(A) = k10_xtuple_0(B) & v2_ordinal2(A) & v2_ordinal2(B) ) => A = B ) ) ) )).
fof(t10_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_card_fil(B,A) => ! [C] : ( m2_card_fil(C,A) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,B) & r2_tarski(D,k1_card_fil(A,B)) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,C) & r2_tarski(D,k7_setfam_1(A,C)) ) ) ) ) ) ) )).
fof(t10_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ~ r1_xxreal_0(B,k4_card_1(A)) => v1_xboole_0(k1_card_fin(A,B,C,D)) ) ) ) )).
fof(t10_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ( v2_card_lar(k2_subset_1(A),A) & v1_card_lar(k2_subset_1(A),A) ) ) )).
fof(t10_cardfin2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => k4_card_1(k2_cardfin2(A)) = k1_cardfin2(k7_xcmplx_0(k2_newton(k4_card_1(A)),k4_power)) ) )).
fof(t10_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_cat_1(G,B,C,D) => ( ( C = E & D = F ) => ( k2_cat_1(B,C,D) = k1_xboole_0 | m1_cat_1(G,A,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t10_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => r1_funct_2(A,u4_struct_0(k2_oppcat_1(k2_oppcat_1(B))),A,u4_struct_0(B),k4_cat_3(k2_oppcat_1(B),A,k4_cat_3(B,A,C)),C) ) ) )).
fof(t10_cat_4,axiom,( ! [A] : ! [B] : v3_cat_4(k5_cat_4(A,B)) )).
fof(t10_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( ( g1_cat_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A)) = g1_cat_1(u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B)) & v3_cat_5(A) ) => v3_cat_5(B) ) ) ) )).
fof(t10_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( v2_struct_0(A) => v11_cat_6(B,A) ) ) ) )).
fof(t10_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v8_cat_6(C) & v9_cat_6(C) & v10_cat_6(C) & l1_cat_6(C) ) => ! [D] : ( ( v8_cat_6(D) & v9_cat_6(D) & v10_cat_6(D) & l1_cat_6(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( ( v16_cat_6(E,A,B) & v16_cat_6(F,B,C) & v16_cat_6(G,C,D) ) => r2_relset_1(u1_struct_0(A),u1_struct_0(D),k12_cat_6(A,C,D,k12_cat_6(A,B,C,E,F),G),k12_cat_6(A,B,D,E,k12_cat_6(B,C,D,F,G))) ) ) ) ) ) ) ) ) )).
fof(t10_catalan1,axiom,( k1_catalan1(k5_numbers) = k5_numbers )).
fof(t10_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( ( v1_catalan2(C) & r1_xxreal_0(B,k6_xcmplx_0(k1_nat_1(A,k1_afinsq_1(C)),k3_xcmplx_0(2,k7_afinsq_2(C)))) ) => v1_catalan2(k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,A,k5_numbers),C),k8_funcop_1(k4_ordinal1,B,1))) ) ) ) ) )).
fof(t10_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_instalg1(A) & v2_catalg_1(A) & v3_catalg_1(A) & l1_msualg_1(A) ) => m1_catalg_1(A,k4_catalg_1(A)) ) )).
fof(t10_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v3_cayldick(A) & v4_normsp_0(A) & v3_normsp_0(A) & v2_normsp_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v13_algstr_0(A) & v3_group_1(A) & v5_vectsp_1(A) & v4_vectsp_1(A) & v33_algstr_0(A) ) => ( v6_struct_0(A) | k2_cayldick(A,k4_algstr_0(A,B)) = k4_algstr_0(A,k2_cayldick(A,B)) ) ) ) ) )).
fof(t10_cayley,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => v1_group_6(k3_cayley(A,B,C),k2_cayley(A),k2_cayley(B)) ) ) ) ) )).
fof(t10_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k2_numbers,B,A)) => v4_xxreal_2(k5_cc0sp1(A,B)) ) ) ) )).
fof(t10_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_cc0sp2(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k2_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k2_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ( ( E = B & F = C & G = D ) => ( D = k3_rlvect_1(k3_cc0sp2(A),B,C) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,G,H) = k2_xcmplx_0(k3_funct_2(u1_struct_0(A),k2_numbers,E,H),k3_funct_2(u1_struct_0(A),k2_numbers,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( r1_tarski(k2_relset_1(k2_numbers,A),k1_relset_1(k2_numbers,k2_cfunct_1(k2_numbers,B))) => v9_ordinal1(k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,B)) ) ) ) )).
fof(t10_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) => ( v6_cfdiff_1(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( r2_hidden(B,A) & ! [C] : ( v1_xreal_0(C) => ~ r1_tarski(a_2_0_cfdiff_1(B,C),A) ) ) ) ) ) )).
fof(t10_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => r2_funct_2(A,k2_numbers,k1_funcsdom(A,k2_numbers,k1_cfuncdom(A),k4_cfuncdom(A),B),B) ) ) )).
fof(t10_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( k8_relset_1(A,k1_numbers,k55_valued_1(A,k2_numbers,B),k1_tarski(k5_numbers)) = k8_relset_1(A,k2_numbers,B,k1_tarski(k5_numbers)) & k8_relset_1(A,k2_numbers,k31_valued_1(A,k2_numbers,B),k1_tarski(k5_numbers)) = k8_relset_1(A,k2_numbers,B,k1_tarski(k5_numbers)) ) ) ) )).
fof(t10_cgames_1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ! [C] : ( v2_cgames_1(C) => ( ( r2_tarski(C,k2_cgames_1(B)) & r2_tarski(A,k8_cgames_1(C)) ) => r2_tarski(A,k2_cgames_1(B)) ) ) ) )).
fof(t10_chord,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => ( r1_xxreal_0(A,1) => A = k5_numbers ) ) )).
fof(t10_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(A,D))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(C,F))) => ( G = k5_relat_1(H,u1_struct_0(A)) => k6_circuit2(A,D,G) = k5_relat_1(k6_circuit2(C,F,H),u1_struct_0(A)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( C = k2_circcomb(A,B) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ( r2_circcomb(A,B,D,E) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( F = k3_circcomb(A,B,D,E) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(A,D))) => ( ( H = k5_relat_1(G,u1_struct_0(A)) & v1_circcmb3(H,A,D) ) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(B,E))) => ( ( I = k5_relat_1(k5_facirc_1(C,F,G,k2_circcmb3(A,D,H)),u1_struct_0(B)) & v1_circcmb3(I,B,E) ) => k2_circcmb3(C,F,G) = k1_nat_1(k2_circcmb3(A,D,H),k2_circcmb3(B,E,I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & l1_msualg_1(B) ) => v8_struct_0(k2_circcomb(A,B)) ) ) )).
fof(t10_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k2_circled1(A,B),k2_circled1(A,C)) ) ) ) ) )).
fof(t10_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) ) => k1_circtrm1(A,B,k4_subset_1(k1_msaterm(A,B),C,D)) = k2_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D)) ) ) ) ) )).
fof(t10_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k4_circuit1(A,B,C) = 1 <=> r2_tarski(C,k4_subset_1(u1_struct_0(A),k2_msafree2(A),k1_msafree2(A))) ) ) ) ) )).
fof(t10_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree2(D,A,B) => ( r2_tarski(C,k2_msafree2(A)) => k5_circuit2(A,B,C,D) = k1_funct_1(D,C) ) ) ) ) ) )).
fof(t10_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_ckspace1(A,C,D,B) & r1_xxreal_0(E,D) ) => r1_ckspace1(A,C,E,B) ) ) ) ) ) ) )).
fof(t10_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( r2_tarski(B,k3_classes1(A,k1_ordinal1(C))) <=> ~ ( ~ ( r1_tarski(B,k3_classes1(A,C)) & r2_tarski(B,k1_classes1(A)) ) & ! [D] : ~ ( r2_tarski(D,k3_classes1(A,C)) & ( r1_tarski(B,D) | B = k9_setfam_1(D) ) ) ) ) ) )).
fof(t10_classes2,axiom,( ! [A] : k2_ordinal1(k1_classes1(A)) = k1_card_1(k1_classes1(A)) )).
fof(t10_clopban1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( ~ v2_struct_0(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v13_algstr_0(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v2_rlvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v3_rlvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v4_rlvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v2_clvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v3_clvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v4_clvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & v5_clvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) & l1_clvect_1(g1_clvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) ) ) ) )).
fof(t10_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => k3_clopban2(A,B,k2_clopban2(A,C,D)) = k2_clopban2(A,k3_clopban2(A,B,C),k3_clopban2(A,B,D)) ) ) ) ) )).
fof(t10_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_bhsp_4(A,C),B)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,C)),B)) ) ) ) )).
fof(t10_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_pboole(C,A,B) => ! [D] : ( m1_pboole(D,A,B) => ( m1_pboole(k2_pboole(A,C,D),A,B) => r6_pboole(A,k16_pralg_1(A,k2_msualg_3(A,B),k2_pboole(A,C,D)),k2_pboole(A,k1_closure1(A,B,B,k2_msualg_3(A,B),C),k1_closure1(A,B,B,k2_msualg_3(A,B),D))) ) ) ) ) )).
fof(t10_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_closure2(C,A,B,k2_closure2(A,B)) => ! [D] : ( m1_closure2(D,A,B,k2_closure2(A,B)) => r2_tarski(k2_pboole(A,C,D),k2_closure2(A,B)) ) ) ) )).
fof(t10_closure3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => r6_pboole(A,k2_closure3(A,B,k3_closure3(A,B,C,D)),k2_pboole(A,k2_closure3(A,B,C),k2_closure3(A,B,D))) ) ) ) )).
fof(t10_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k1_clvect_1(A,B,k6_xcmplx_0(C,D)) = k5_algstr_0(A,k1_clvect_1(A,B,C),k1_clvect_1(A,B,D)) ) ) ) ) )).
fof(t10_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_funct_1(C) & r2_tarski(B,k10_xtuple_0(C)) ) => k1_clvect_2(A,C) = B ) ) ) ) )).
fof(t10_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & v4_clvect_2(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k11_csspace(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),E),k1_normsp_0(A,k1_bhsp_4(A,B),F)))) ) ) ) ) ) ) ) ) )).
fof(t10_coh_sp,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ( r2_tarski(k3_tarski(A),A) => A = k9_setfam_1(k3_tarski(A)) ) ) )).
fof(t10_cohsp_1,axiom,( ! [A] : ! [B] : v1_cohsp_1(k1_enumset1(A,B,k2_xboole_0(A,B))) )).
fof(t10_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(B,k1_collsp(A,B,C)) & r2_tarski(C,k1_collsp(A,B,C)) ) ) ) ) )).
fof(t10_combgras,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | ! [C] : ( m1_subset_1(C,u1_incsp_1(k1_combgras(A,B))) => ! [D] : ( m1_subset_1(D,u2_incsp_1(k1_combgras(A,B))) => ( r1_incsp_1(k1_combgras(A,B),C,D) <=> r1_tarski(C,D) ) ) ) ) ) ) ) )).
fof(t10_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v4_tbsp_1(A) <=> ! [B] : ( ( v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v1_compl_sp(B,A) & v7_compl_sp(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v2_prob_1(B) & k1_seq_2(k1_compl_sp(A,B)) = k5_numbers & v1_xboole_0(k2_kurato_0(u1_struct_0(A),B)) ) ) ) ) )).
fof(t10_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_complex1(k3_xcmplx_0(A,k7_complex1)) = k5_numbers ) )).
fof(t10_complex2,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( k17_sin_cos(A) = k5_numbers & k19_sin_cos(A) = k5_numbers ) ) )).
fof(t10_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => k4_algstr_0(k1_complfld,A) = k8_group_1(k1_complfld,k4_algstr_0(k1_complfld,k1_group_1(k1_complfld)),A) ) )).
fof(t10_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(A)) => ? [C] : ( m1_subset_1(C,A) & k5_compos_0(A,C) = B ) ) ) )).
fof(t10_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => k4_card_1(k1_compos_2(A,B,C)) = k2_xcmplx_0(k4_card_1(C),1) ) ) ) )).
fof(t10_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k1_rcomp_1(k28_sin_cos,k3_xcmplx_0(2,k28_sin_cos))) => r1_xxreal_0(k1_funct_1(k16_sin_cos,A),k5_numbers) ) ) )).
fof(t10_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_compts_1(B,A) & v2_compts_1(C,A) ) => v2_compts_1(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t10_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,C,k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B)),k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,C,A),k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,C,B))) ) ) ) )).
fof(t10_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v1_xcmplx_0(B) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,A,C) = B ) => k3_comseq_2(A) = B ) ) ) )).
fof(t10_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) & k3_comseq_2(k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B)) = k5_complex1 ) => k3_comseq_2(A) = k3_comseq_2(B) ) ) ) )).
fof(t10_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) => ( r1_tarski(C,k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)) <=> r1_relset_1(u1_struct_0(A),u4_struct_0(A),k8_mcart_1(u1_struct_0(A),u4_struct_0(A),B,C),u1_conlat_1(A)) ) ) ) ) )).
fof(t10_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => k16_lattice3(k11_conlat_1(A),a_2_5_conlat_2(A,B)) = B ) ) )).
fof(t10_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v4_conmetr(A) => v7_conmetr(A) ) ) )).
fof(t10_conmetr1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v2_aff_2(A) <=> v6_conmetr1(A) ) ) )).
fof(t10_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k2_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & B != k1_struct_0(A) & C != k1_struct_0(A) & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) ) ) ) ) ) )).
fof(t10_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_pre_topc(A,B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( m1_connsp_2(E,A,F) & D = E & C = F ) => m1_connsp_2(D,k1_pre_topc(A,B),C) ) ) ) ) ) ) ) )).
fof(t10_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_connsp_1(B,A) & v2_connsp_1(C,A) & r1_tarski(C,B) ) => ( C = k1_xboole_0 | B = k1_connsp_3(A,C) ) ) ) ) ) )).
fof(t10_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k1_xboole_0 => v1_convex1(B,A) ) ) ) )).
fof(t10_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => k3_rusub_4(A,k1_rlsub_2(A,B,C)) = k7_rusub_4(A,k3_rusub_4(A,B),k3_rusub_4(A,C)) ) ) ) )).
fof(t10_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => k3_convex4(A,k3_finseq_4(u1_struct_0(A),B,C,D),E) = k3_finseq_4(u1_struct_0(A),k1_clvect_1(A,B,k3_funct_2(u1_struct_0(A),k2_numbers,E,B)),k1_clvect_1(A,C,k3_funct_2(u1_struct_0(A),k2_numbers,E,C)),k1_clvect_1(A,D,k3_funct_2(u1_struct_0(A),k2_numbers,E,D))) ) ) ) ) ) )).
fof(t10_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => m2_subset_1(k2_qc_lang2(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) ) ) )).
fof(t10_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_qc_lang2(A,B,k6_cqc_lang(A,B)) ) ) )).
fof(t10_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_tarski(k8_cqc_lang(A,k7_cqc_lang(A,C,D),k7_cqc_lang(A,D,C)),k1_cqc_the1(A,B)) ) ) ) ) )).
fof(t10_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ~ r2_tarski(C,k24_qc_lang1(A,k6_qc_lang2(A,C,D,B))) & ~ r2_tarski(D,k24_qc_lang1(A,k6_qc_lang2(A,C,D,B))) ) ) ) ) ) )).
fof(t10_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r2_cqc_the3(A,C,k6_domain_1(k3_cqc_lang(A),B)) <=> r3_cqc_the1(A,C,B) ) ) ) ) )).
fof(t10_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_3(A) => r1_xxreal_0(k9_complex1(k11_comseq_3(A)),k4_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A))) ) ) )).
fof(t10_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_csspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_csspace4(A,B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & v1_csspace4(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_csspace4(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( E = C & F = D ) => ! [G] : ( v1_xcmplx_0(G) => ( D = k1_clvect_1(k5_csspace4(A,B),C,G) <=> ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,u1_struct_0(B),F,H) = k1_clvect_1(B,k3_funct_2(A,u1_struct_0(B),E,H),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B)) & v3_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B)) & v2_comseq_2(k2_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B))) & k4_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B)) = k2_xcmplx_0(k1_seq_2(A),k1_seq_2(B)) & v2_comseq_2(k3_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B))) & k5_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B)) = k2_xcmplx_0(k1_seq_2(A),k1_seq_2(B)) & v1_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B)) & k1_dblseq_1(k6_dblseq_1(k4_ordinal1,k1_numbers,k9_binop_2,A,B)) = k2_xcmplx_0(k1_seq_2(A),k1_seq_2(B)) ) ) ) )).
fof(t10_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( r2_funct_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k2_dblseq_2(A),k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k2_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A)),k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(A))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(A)),k3_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A))) & r2_funct_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(k1_dblseq_2(k4_ordinal1,k4_ordinal1,k1_numbers,A))),k3_dblseq_2(A)) ) ) )).
fof(t10_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_decomp_1(A),k14_decomp_1(A)) = u1_pre_topc(A) ) )).
fof(t10_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k8_descip_1(A,k8_descip_1(A,B,C),D) = k8_descip_1(A,B,k2_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t10_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ( v3_dickson(A) & v16_waybel_0(A) ) => r3_orders_1(k2_dickson(A),k8_eqrel_1(u1_struct_0(A),k1_dickson(A))) ) ) )).
fof(t10_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,F,C),k26_valued_1(k1_numbers,k1_numbers,G,D)),B),k1_nat_1(A,1)),E) = k2_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(F,B),k1_nat_1(A,1)),E)),k3_xcmplx_0(D,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(G,B),k1_nat_1(A,1)),E))) ) ) ) ) ) ) ) )).
fof(t10_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_numbers,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k11_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,G,A),k26_valued_1(k1_numbers,k1_numbers,H,B)),C,D,E,F) = k2_xcmplx_0(k3_xcmplx_0(A,k11_diff_1(G,C,D,E,F)),k3_xcmplx_0(B,k11_diff_1(H,C,D,E,F))) ) ) ) ) ) ) ) ) )).
fof(t10_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,F,C),k26_valued_1(k1_numbers,k1_numbers,G,D)),B),k2_xcmplx_0(A,1)),E) = k6_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(F,B),k2_xcmplx_0(A,1)),E)),k3_xcmplx_0(D,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(G,B),k2_xcmplx_0(A,1)),E))) ) ) ) ) ) ) ) )).
fof(t10_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,k2_fdiff_9)) & r2_hidden(B,k1_relset_1(k1_numbers,k2_fdiff_9)) ) => k9_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k2_fdiff_9),A,B) = k7_xcmplx_0(k3_xcmplx_0(4,k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(B,A)),k17_sin_cos(k6_xcmplx_0(B,A)))),k3_xcmplx_0(k1_square_1(k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A,B)),k19_sin_cos(k6_xcmplx_0(A,B)))),k6_xcmplx_0(A,B))) ) ) ) )).
fof(t10_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_finset_1(B) & v1_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k4_card_1(B)) & ! [D] : ( ( v1_finset_1(D) & v1_dilworth(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(D,B) & k4_card_1(D) = C ) ) ) ) ) ) )).
fof(t10_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_diraf(A,B,B,C) & r1_diraf(A,B,C,C) ) ) ) ) )).
fof(t10_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ( v4_dirort(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_dirort(A,B,C,F,G) & r4_analmetr(A,B,C,D,E) ) => ( B = C | r4_analmetr(A,F,G,D,E) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_dist_1(A,B,C) <=> k4_dist_1(A,B) = k4_dist_1(A,C) ) ) ) ) )).
fof(t10_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_dist_2(D,A,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ! [F] : ( F = C <=> k1_funct_1(E,F) = k7_margrel1 ) => k4_dist_2(A,B,D,E) = k3_dist_1(A,D,C) ) ) ) ) ) ) )).
fof(t10_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ( r2_tarski(A,k4_zfmisc_1(B,C,D,E)) <=> ? [F] : ( m1_subset_1(F,B) & ? [G] : ( m1_subset_1(G,C) & ? [H] : ( m1_subset_1(H,D) & ? [I] : ( m1_subset_1(I,E) & A = k6_xtuple_0(F,G,H,I) ) ) ) ) ) ) ) ) ) )).
fof(t10_dtconstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dtconstr(A) & v2_dtconstr(A) & l1_lang1(A) ) => ! [B] : ( m1_dtconstr(B,u1_struct_0(A),k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k7_dtconstr(A)) => ~ ( k1_funct_1(B,k1_xboole_0) = C & ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ~ ( B = k8_trees_4(u1_struct_0(A),C,D) & r1_lang1(A,C,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),D)) ) ) ) ) ) ) )).
fof(t10_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => v1_rlsub_1(k7_dualsp01(A),k10_funcsdom(u1_struct_0(A))) ) )).
fof(t10_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ~ ( ~ v7_struct_0(A) & ! [B] : ( m1_dualsp01(B,k17_dualsp01(k17_dualsp01(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & B = k8_normsp_3(A,k17_dualsp01(k17_dualsp01(A)),k2_dualsp02(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_dualsp02(A,D) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_normsp_0(A,D) = k2_normsp_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) ) )).
fof(t10_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k9_subset_1(A,C,k1_prob_1(A,B)) = k1_prob_1(A,k2_dynkin(A,B,C)) ) ) ) )).
fof(t10_e_siec,axiom,( ! [A] : ! [B] : ( v2_e_siec(g1_e_siec(k2_xboole_0(A,B),k4_relat_1(A),k4_relat_1(A))) & v3_e_siec(g1_e_siec(k2_xboole_0(A,B),k4_relat_1(A),k4_relat_1(A))) & l1_e_siec(g1_e_siec(k2_xboole_0(A,B),k4_relat_1(A),k4_relat_1(A))) ) )).
fof(t10_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v36_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v36_algstr_0(B) & m1_ec_pf_1(B,A) ) => ( k1_ec_pf_1(A) = k7_struct_0(B) => B = A ) ) ) )).
fof(t10_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k8_group_1(A,k8_group_1(A,k8_group_1(A,B,C),D),E) = k8_group_1(A,k8_group_1(A,k8_group_1(A,E,C),D),B) & k8_group_1(A,k8_group_1(A,k8_group_1(A,B,C),D),E) = k8_group_1(A,k8_group_1(A,k8_group_1(A,B,E),D),C) ) ) ) ) ) ) )).
fof(t10_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_endalg(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_endalg(A,B))) => ! [E] : ( m1_autalg_1(E,u1_struct_0(A),u3_msualg_1(A,B),k4_endalg(A,B)) => ! [F] : ( m1_autalg_1(F,u1_struct_0(A),u3_msualg_1(A,B),k4_endalg(A,B)) => ( ( C = E & D = F ) => k6_algstr_0(k6_endalg(A,B),C,D) = k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),u3_msualg_1(A,B),E,F) ) ) ) ) ) ) ) )).
fof(t10_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( r2_hidden(k4_tarski(k4_tarski(C,D),B),k2_ens_1(A)) => ( ( D = k1_xboole_0 => C = k1_xboole_0 ) & v1_funct_1(B) & v1_funct_2(B,C,D) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) ) ) ) )).
fof(t10_entropy1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( v4_partfun3(B) & r1_xxreal_0(k5_numbers,A) ) => v4_partfun3(k10_rvsum_1(B,A)) ) ) ) )).
fof(t10_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E)) )).
fof(t10_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_relset_1(A,A,k4_eqrel_1(A,k6_partfun1(A),B),k6_partfun1(A)) ) )).
fof(t10_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( r1_pzfmisc1(A,B,C) => r6_pboole(A,k1_equation(A,C,D),B) ) ) ) ) )).
fof(t10_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k12_euclid(k6_rvsum_1(A)) = k12_euclid(A) ) )).
fof(t10_euclid10,axiom,( ! [A] : ( v1_xreal_0(A) => k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(3,k28_sin_cos),2),A)) = k19_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),A)) ) )).
fof(t10_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => k22_rvsum_1(k5_euclid(k3_finseq_1(A)),A) = k5_numbers ) )).
fof(t10_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k19_euclid(k3_complex1(k4_xcmplx_0(A)),k4_complex1(k4_xcmplx_0(A))) = k19_euclid(k1_real_1(k3_complex1(A)),k1_real_1(k4_complex1(A))) ) )).
fof(t10_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( ( r2_tarski(D,k2_euclid_4(A,B,C)) & r2_tarski(E,k2_euclid_4(A,B,C)) ) => r1_tarski(k2_euclid_4(A,D,E),k2_euclid_4(A,B,C)) ) ) ) ) ) ) )).
fof(t10_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => k4_algstr_0(k15_euclid(3),A) = k4_euclid_5(k4_xcmplx_0(k1_euclid_5(A)),k4_xcmplx_0(k2_euclid_5(A)),k4_xcmplx_0(k3_euclid_5(A))) ) )).
fof(t10_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),B,C)) => ( D = B | k4_euclid_3(A,B,C) = k4_euclid_3(A,B,D) ) ) ) ) ) ) )).
fof(t10_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_finseq_1(D,C) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(D)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(D)) ) => ( k1_funct_1(k2_finseq_7(C,D,A,B),A) = k1_funct_1(D,B) & k1_funct_1(k2_finseq_7(C,D,A,B),B) = k1_funct_1(D,A) ) ) ) ) ) ) )).
fof(t10_euclid_8,axiom,( k22_rvsum_1(k2_euclid_8,k2_euclid_8) = 1 )).
fof(t10_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( r2_tarski(C,k8_metric_1(k14_euclid(A),D,B)) => ! [E] : ( ~ r1_xxreal_0(B,k9_complex1(k1_funct_1(k8_rvsum_1(C,D),E))) & ~ r1_xxreal_0(B,k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),k1_funct_1(D,E)))) ) ) ) ) ) ) )).
fof(t10_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) => ~ ( k8_euclid(B,E,C) = k9_euclid(B,D,A) & E != C & A = k5_numbers ) ) ) ) ) ) )).
fof(t10_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v2_euclmetr(A) <=> v2_conmetr(A) ) ) )).
fof(t10_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) => ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_int_1(D) & ? [E] : ( v1_int_1(E) & k2_xcmplx_0(k3_xcmplx_0(D,A),k3_xcmplx_0(E,B)) = C ) ) ) ) ) ) )).
fof(t10_euler_2,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_classes1(A,B) => k2_wsierp_1(A) = k2_wsierp_1(B) ) ) ) )).
fof(t10_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v2_exchsort(B,A) & v1_exchsort(B) ) <=> ? [C] : ( v3_ordinal1(C) & k9_xtuple_0(B) = k6_subset_1(C,A) & r1_ordinal1(A,C) ) ) ) ) )).
fof(t10_extens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => r8_pboole(u1_struct_0(A),k2_funct_6(k15_msafree(A,B)),B) ) ) )).
fof(t10_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) ) => ( r1_tarski(k17_funcop_1(C,k2_compos_1(B)),D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v5_memstr_0(E,A,B,C) ) => v5_extpro_1(E,A,B,D) ) ) ) ) ) ) )).
fof(t10_extreal1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k6_numbers) => ~ ( ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) & ~ r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,B)) & k4_extreal1(k8_finseq_1(k6_numbers,A,B)) != k3_supinf_2(k4_extreal1(A),k4_extreal1(B)) ) ) ) )).
fof(t10_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k1_funct_1(k6_circuit2(A,B,C),k2_msualg_1(A,D)) = k1_funct_1(k5_msualg_1(A,D,B),k3_relat_1(k1_msualg_1(A,D),C)) ) ) ) ) )).
fof(t10_fcont_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_fcont_1(B,A) => ( k1_funct_1(B,A) = k5_numbers | r1_fcont_1(k6_rfunct_1(k1_numbers,k1_numbers,B),A) ) ) ) ) )).
fof(t10_fcont_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v2_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) => v1_fcont_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) )).
fof(t10_fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) => v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,A)),k7_relset_1(k1_numbers,k1_numbers,B,A))) ) ) )).
fof(t10_fdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_fdiff_1(B,A) => v3_rcomp_1(A) ) ) ) )).
fof(t10_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k18_sin_cos),A),B) = k3_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k18_sin_cos,B)),k1_funct_1(k16_sin_cos,B)) ) ) ) ) )).
fof(t10_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k2_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k1_sin_cos9,B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k1_sin_cos9,B)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k2_sin_cos9),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(k2_xcmplx_0(1,k1_square_1(B)),k2_xcmplx_0(1,k1_square_1(k1_funct_1(k1_sin_cos9,B)))))) ) ) ) ) ) )).
fof(t10_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( k1_funct_1(C,A) != B & r1_fdiff_1(C,A) & ! [D] : ( m1_rcomp_1(D,A) => ~ ( r1_tarski(D,k1_relset_1(k1_numbers,C)) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,D) & k1_funct_1(C,E) = B ) ) ) ) ) ) ) ) )).
fof(t10_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r4_fdiff_3(A,C) & r4_fdiff_3(B,C) ) => ( r4_fdiff_3(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) & k1_fdiff_3(C,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)) = k2_xcmplx_0(k1_fdiff_3(C,A),k1_fdiff_3(C,B)) ) ) ) ) ) )).
fof(t10_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C),k26_valued_1(k1_numbers,k1_numbers,D,k2_xcmplx_0(A,B))))) & D = k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k3_taylor_1) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => ( k1_funct_1(E,F) = k2_xcmplx_0(F,B) & ~ r1_xxreal_0(k1_funct_1(E,F),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C),k26_valued_1(k1_numbers,k1_numbers,D,k2_xcmplx_0(A,B))),C) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C),k26_valued_1(k1_numbers,k1_numbers,D,k2_xcmplx_0(A,B))),C),F) = k7_xcmplx_0(k6_xcmplx_0(F,A),k2_xcmplx_0(F,B)) ) ) ) ) ) ) ) ) ) )).
fof(t10_fdiff_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k16_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A))))) & r1_xxreal_0(1,A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(A,D) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k16_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A))),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k16_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A))),B),D) = k3_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k16_sin_cos,D),k6_xcmplx_0(A,1))),k1_funct_1(k16_sin_cos,k3_xcmplx_0(k2_xcmplx_0(A,1),D))) ) ) ) ) ) ) ) )).
fof(t10_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,C),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,B,C),k3_taylor_1)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => ( k1_funct_1(C,D) = D & ~ r1_xxreal_0(k1_funct_1(C,D),k5_numbers) & k1_funct_1(B,D) = k6_xcmplx_0(D,1) & ~ r1_xxreal_0(k1_funct_1(B,D),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,C),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,B,C),k3_taylor_1)),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,C),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,B,C),k3_taylor_1)),A),D) = k7_xcmplx_0(1,k3_xcmplx_0(k1_square_1(D),k6_xcmplx_0(D,1))) ) ) ) ) ) ) ) )).
fof(t10_fdiff_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(A)))) & r1_tarski(B,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(A)),B) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(A)),B),C) = k7_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k1_sin_cos6,C),k6_xcmplx_0(A,1))),k3_square_1(k6_xcmplx_0(1,k1_square_1(C)))) ) ) ) ) ) ) )).
fof(t10_fdiff_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k26_sin_cos))) & F = k1_taylor_1(2) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(E,G) = k2_xcmplx_0(A,k3_xcmplx_0(B,G)) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k26_sin_cos),D) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k26_sin_cos),D),G) = k7_xcmplx_0(k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),G)),k1_square_1(k1_funct_1(k18_sin_cos,k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,G)),k3_xcmplx_0(C,k1_square_1(G)))))) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_fdiff_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k1_fdiff_9))) & F = k1_taylor_1(2) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(E,G) = k2_xcmplx_0(A,k3_xcmplx_0(B,G)) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k1_fdiff_9),D) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k1_fdiff_9),D),G) = k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),G)),k1_funct_1(k16_sin_cos,k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,G)),k3_xcmplx_0(C,k1_square_1(G))))),k1_square_1(k1_funct_1(k18_sin_cos,k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,G)),k3_xcmplx_0(C,k1_square_1(G)))))) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A))),k9_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A))),k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A))),k9_xtuple_0(k4_relat_1(u4_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))),k9_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))),k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))),k9_xtuple_0(k4_relat_1(u4_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A))),k10_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A))),k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A))),k10_xtuple_0(k4_relat_1(u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))),k10_xtuple_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))),k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))),k10_xtuple_0(k4_relat_1(u1_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A))),k9_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A))),k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A))),k9_xtuple_0(k4_relat_1(u1_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))),k9_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))),k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)))) & r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))),k9_xtuple_0(k4_relat_1(u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A))),k10_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A))),k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A))),k10_xtuple_0(k4_relat_1(u4_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))),k10_xtuple_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))),k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))),k10_xtuple_0(k4_relat_1(u4_struct_0(A)))) ) ) )).
fof(t10_fib_num,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),C) = k6_real_1(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,B,C)) & k8_nat_1(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),C) = k4_real_1(k8_nat_1(k1_numbers,A,C),k2_real_1(k8_nat_1(k1_numbers,B,C))) ) ) ) ) )).
fof(t10_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v8_ordinal1(B) & v1_xreal_0(B) ) => k3_xcmplx_0(k2_power(B,A),k2_power(B,k4_xcmplx_0(A))) = 1 ) ) )).
fof(t10_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k2_xcmplx_0(k2_power(k2_fib_num,A),k2_power(k2_fib_num,k1_nat_1(A,1))) = k2_power(k2_fib_num,k1_nat_1(A,2)) ) )).
fof(t10_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,A) => ( v1_abian(B) | r1_xxreal_0(k2_power(k2_fib_num,B),k2_power(k2_fib_num,A)) ) ) ) ) )).
fof(t10_filerec1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_finseq_1(E,D) => ( E = k11_finseq_1(A,B,C) => ( r2_hidden(A,D) & r2_hidden(B,D) & r2_hidden(C,D) ) ) ) ) )).
fof(t10_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,D) => ( r2_tarski(k3_lattices(A,B,C),D) & r2_tarski(k3_lattices(A,C,B),D) ) ) ) ) ) ) )).
fof(t10_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m2_filter_1(C,A,B) => ! [D] : ( m2_filter_1(D,A,B) => ( r5_binop_1(A,C,D) => r5_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k3_filter_1(A,B,D)) ) ) ) ) ) )).
fof(t10_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v14_lattices(B) & l3_lattices(B) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) => k6_lattices(A) = k6_lattices(B) ) ) ) )).
fof(t10_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k11_fin_topo(A,C)) <=> ( r2_tarski(B,C) & ~ r1_xboole_0(k7_subset_1(u1_struct_0(A),k1_fin_topo(A,B),k6_domain_1(u1_struct_0(A),B)),C) ) ) ) ) ) )).
fof(t10_finance1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( v1_xreal_0(C) => r1_finance1(A,k1_numbers,B,k12_prob_1,k7_funcop_1(A,C)) ) ) ) )).
fof(t10_finance2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k4_ordinal1)))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k9_setfam_1(k4_ordinal1),A,B) = k1_seq_4(B) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(k8_nat_1(k9_setfam_1(k4_ordinal1),k2_prob_3(k4_ordinal1,A),B),k12_prob_1) ) ) ) )).
fof(t10_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_finseq_1(A) = k7_subset_1(k4_ordinal1,k2_finseq_1(k1_nat_1(A,1)),k1_tarski(k1_nat_1(A,1))) ) )).
fof(t10_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_hidden(A,k10_xtuple_0(B)) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & k1_funct_1(B,C) = A ) ) ) ) )).
fof(t10_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k2_xcmplx_0(A,B),k2_finseq_1(A)) => B = k5_numbers ) ) ) )).
fof(t10_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_finseq_4(A,B) => k9_relat_1(A,k1_finseq_4(A,B)) = k1_tarski(B) ) ) )).
fof(t10_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) & C = k5_relat_1(B,k2_finseq_1(A)) ) => k5_relat_1(B,k2_finseq_1(k1_nat_1(A,1))) = k7_finseq_1(C,k9_finseq_1(k1_funct_1(B,k1_nat_1(A,1)))) ) ) ) ) )).
fof(t10_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_tarski(A,k7_finseq_1(A,B)) ) ) )).
fof(t10_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => ( E = D | k7_partfun1(A,k1_finseq_7(A,B,D,C),E) = k7_partfun1(A,B,E) ) ) ) ) ) ) ) )).
fof(t10_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => r1_xxreal_0(k3_finseq_1(k3_finseq_8(A,B,C)),k3_finseq_1(B)) ) ) ) )).
fof(t10_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [H] : ( ( v3_card_1(H,F) & m2_finseq_1(H,A) ) => ! [I] : ( ( v3_card_1(I,F) & m2_finseq_1(I,B) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,G,k8_finseq_1(A,H,k12_finseq_1(A,D)),k8_finseq_1(B,I,k12_finseq_1(B,E))),k8_finseq_1(C,k1_finseqop(A,B,C,G,H,I),k12_finseq_1(C,k2_binop_1(A,B,C,G,D,E)))) ) ) ) ) ) ) ) ) ) )).
fof(t10_finset_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_finset_1(k9_xtuple_0(A)) <=> v1_finset_1(A) ) ) )).
fof(t10_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_setwiseo(B,A) => k1_finsop_1(A,k6_finseq_1(A),B) = k3_binop_1(A,B) ) ) ) )).
fof(t10_finsub_1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k5_finsub_1(A),k5_finsub_1(B)) ) )).
fof(t10_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k8_fin_topo(A,C)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_fintopo2(A,B,D) = k7_margrel1 => k1_fintopo2(A,B,D,C) = k7_margrel1 ) ) ) ) ) ) )).
fof(t10_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A),k8_fin_topo(A,B),k8_fin_topo(A,C)) = k8_fin_topo(A,k9_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t10_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_fin_topo(A) => ( r1_fintopo4(A,B,C) <=> r1_xboole_0(k9_fin_topo(A,B),C) ) ) ) ) ) )).
fof(t10_fintopo5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_fintopo4(C)),u1_struct_0(k2_fintopo4(C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_fintopo4(C)),u1_struct_0(k2_fintopo4(C))))) ) => ~ ( r2_fintopo4(k2_fintopo4(C),k2_fintopo4(C),D,A) & B = k2_int_1(k7_xcmplx_0(A,2)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_fintopo4(C))) => ~ r2_tarski(k3_funct_2(u1_struct_0(k2_fintopo4(C)),u1_struct_0(k2_fintopo4(C)),D,E),k10_fintopo3(k2_fintopo4(C),B,E)) ) ) ) ) ) ) )).
fof(t10_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_fintopo6(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t10_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_catalan2(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( k1_afinsq_1(B) = k2_xcmplx_0(C,D) & ! [E] : ( m1_subset_1(E,k3_catalan2(A)) => ! [F] : ( m1_subset_1(F,k3_catalan2(A)) => ~ ( k1_afinsq_1(E) = C & k1_afinsq_1(F) = D & B = k1_flang_1(A,E,F) ) ) ) ) ) ) ) )).
fof(t10_flang_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( k7_flang_1(A,C,D) = k1_tarski(B) & k7_flang_1(A,C,E) = k1_tarski(B) ) => ( D = E | B = k2_flang_1(A) ) ) ) ) ) )).
fof(t10_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k2_flang_1(A),k1_flang_3(A,B,C)) <=> ( C = k5_numbers | r2_tarski(k2_flang_1(A),B) ) ) ) ) )).
fof(t10_fomodel0,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( v8_ordinal1(B) => k4_finseq_2(B,A) = k1_tarski(k1_xboole_0) ) ) )).
fof(t10_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k6_subset_1(k5_fomodel1(A),k16_fomodel1(A)) = k3_fomodel1(A) ) )).
fof(t10_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => v12_fomodel1(k32_fomodel1(A),A) ) )).
fof(t10_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v4_fomodel2(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( m2_subset_1(E,k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k35_fomodel1(B)) => ( k29_fomodel2(B,k37_fomodel3(B,C,E,D)) = k29_fomodel2(B,D) & ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => k25_fomodel2(B,A,F,k37_fomodel3(B,C,E,D)) = k25_fomodel2(B,A,k34_fomodel2(B,A,F,C,k3_funct_2(k35_fomodel1(B),A,k9_fomodel2(B,A,F),E)),D) ) ) ) ) ) ) ) )).
fof(t10_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ( ( r1_tarski(D,E) & v9_fomodel4(B,C,D,A) ) => ( ( ~ v7_fomodel4(D,C) & ~ v7_fomodel4(E,C) ) | v9_fomodel4(B,C,E,A) ) ) ) ) ) )).
fof(t10_frechet,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( A = k4_ordinal1 => v4_pre_topc(A,k3_topmetr) ) ) )).
fof(t10_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r1_frechet(A,B,C) & ! [D] : ( m2_valued_0(D,u1_struct_0(A),B) => ? [E] : ( m2_valued_0(E,u1_struct_0(A),D) & r1_frechet(A,E,C) ) ) ) ) ) ) )).
fof(t10_freealg,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v2_relat_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( v1_freealg(B) => v2_freealg(k17_freealg(A,B),k15_freealg(A,B)) ) ) )).
fof(t10_friends1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_2(B) & v3_relat_2(B) & v1_finset_1(B) & v3_friends1(B) ) => ~ ( ~ v2_friends1(B) & r2_hidden(A,k1_relat_1(B)) & r1_xxreal_0(k4_card_1(k9_relat_1(B,A)),2) ) ) )).
fof(t10_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) ) => k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) ) ) ) ) ) ) ) )).
fof(t10_fscirc_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => k4_fscirc_2(k1_nat_1(B,1),A,C,D) = k1_fscirc_1(k1_funct_1(C,k1_nat_1(B,1)),k1_funct_1(D,k1_nat_1(B,1)),k3_fscirc_2(B,C,D)) ) ) ) ) ) )).
fof(t10_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( ~ v2_struct_0(D) & l3_fsm_1(D,A,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => k1_funct_1(k5_fsm_1(A,B,D,E,C),1) = k3_funct_2(u1_struct_0(D),B,u4_fsm_1(A,B,D),E) ) ) ) ) ) )).
fof(t10_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => v2_fsm_2(u2_fsm_1(A,B),A,B) ) ) )).
fof(t10_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ( ( r2_tarski(B,k9_flang_1(A)) & r2_tarski(C,k9_flang_1(A)) ) => ( B = C | ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( k1_flang_1(A,B,D) != C & k1_flang_1(A,D,B) != C ) ) ) ) ) ) ) )).
fof(t10_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ( E != k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1) => ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)))) => v1_circuit2(k5_facirc_1(k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E),F,4),k1_ftacell1(A,B,C,D,E),k2_ftacell1(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t10_funcop_1,axiom,( ! [A] : ( k9_xtuple_0(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0 & k10_xtuple_0(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0 ) )).
fof(t10_funcsdom,axiom,( ! [A] : ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k5_funcsdom(A),k8_funcsdom(A),B),B) ) )).
fof(t10_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) <=> ( r2_hidden(D,k9_xtuple_0(A)) & r2_tarski(k1_funct_1(A,D),k9_xtuple_0(B)) ) ) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k1_funct_1(B,k1_funct_1(A,D)) ) ) => C = k3_relat_1(A,B) ) ) ) ) )).
fof(t10_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ ( r2_hidden(E,A) & D = k1_funct_1(C,E) ) ) => k2_relset_1(B,C) = B ) ) )).
fof(t10_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k7_relat_1(k1_funct_3(B),A),k1_zfmisc_1(k10_xtuple_0(B))) ) )).
fof(t10_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(k9_xtuple_0(A),k9_xtuple_0(k1_funct_4(A,B))) & r1_tarski(k9_xtuple_0(B),k9_xtuple_0(k1_funct_4(A,B))) ) ) ) )).
fof(t10_funct_5,axiom,( ! [A] : ! [B] : ( r1_tarski(k9_xtuple_0(k2_zfmisc_1(A,B)),A) & r1_tarski(k10_xtuple_0(k2_zfmisc_1(A,B)),B) ) )).
fof(t10_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k1_funct_2(k2_zfmisc_1(A,B),C)) => ( k2_zfmisc_1(A,B) = k1_xboole_0 | ( r2_tarski(k1_funct_5(D),k1_funct_2(A,k1_funct_2(B,C))) & r2_tarski(k3_funct_5(D),k1_funct_2(B,k1_funct_2(A,C))) ) ) ) ) )).
fof(t10_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k3_relat_1(A,k1_funct_4(B,C)) = k1_funct_4(k3_relat_1(A,B),k3_relat_1(A,C)) ) ) ) )).
fof(t10_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_funct_8(A,k1_numbers,k1_numbers,B) & r2_funct_8(A,k1_numbers,k1_numbers,C) ) => r2_funct_8(A,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t10_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_funct_9(B,A) => v1_funct_9(k54_valued_1(B),A) ) ) ) )).
fof(t10_functor0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v2_funct_1(A) & v2_funct_1(B) ) => k2_funct_1(k2_funct_4(k15_funct_3(A,B))) = k2_funct_4(k2_funct_1(k15_funct_3(B,A))) ) ) ) )).
fof(t10_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) ) => ! [D] : ( ( v8_functor0(D,A,B) & l2_functor0(D,A,B) ) => ! [E] : ( l2_functor0(E,B,C) => ( ( v19_functor0(D,A,B) & v19_functor0(E,B,C) ) => v19_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) ) ) ) ) )).
fof(t10_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ( ( r2_functor2(A,B,C,D) & r2_functor2(A,B,D,E) ) => ! [F] : ( m2_functor2(F,A,B,C,D) => ! [G] : ( m2_functor2(G,A,B,D,E) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_functor2(A,B,C,E,k3_functor2(A,B,C,D,E,F,G),H) = k5_altcat_1(B,k3_functor0(A,B,C,H),k3_functor0(A,B,D,H),k3_functor0(A,B,E,H),k2_functor2(A,B,C,D,F,H),k2_functor2(A,B,D,E,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(t10_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ( ( r1_functor2(A,B,D,E) & r1_functor2(B,C,F,G) ) => r1_functor2(A,C,k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,E,G)) ) ) ) ) ) ) ) ) )).
fof(t10_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(k6_xcmplx_0(B,A),k5_numbers) => k2_relset_1(k1_numbers,k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(A,k6_xcmplx_0(B,A)))),k1_rcomp_1(A,B))) = k1_rcomp_1(k5_numbers,1) ) ) ) )).
fof(t10_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k2_fuzzy_1(A,B,k1_fuzzy_2(A,C,B)),k2_fuzzy_1(A,B,C)) ) ) ) )).
fof(t10_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ( r1_fuzzy_1(C,D) => r1_fuzzy_1(k1_fuzzy_4(B,A,C),k1_fuzzy_4(B,A,D)) ) ) ) ) ) )).
fof(t10_fvaluat1,axiom,( ! [A] : ( v1_fvaluat1(A) => ! [B] : ( v1_fvaluat1(B) => ( ~ r1_xxreal_0(B,A) => r1_xxreal_0(k1_xxreal_3(A,1),B) ) ) ) )).
fof(t10_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => r6_binop_1(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A)) ) )).
fof(t10_gate_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(k5_gate_1(A,B)) <=> ( ~ ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(B) & v1_xboole_0(A) ) ) ) )).
fof(t10_gaussint,axiom,( ! [A] : ( r2_hidden(A,k8_gaussint) => ( v1_xcmplx_0(A) & v4_gaussint(A) ) ) )).
fof(t10_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_gcd_1(A,B,k5_struct_0(A)) = B ) ) )).
fof(t10_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v2_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m1_genealg1(D,C) => ! [E] : ( m1_genealg1(E,C) => ( r1_xxreal_0(k3_finseq_1(D),B) => k8_genealg1(C,D,E,A,B) = k7_genealg1(C,D,E,A) ) ) ) ) ) ) )).
fof(t10_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_rlvect_1(A,k5_algstr_0(A,k1_geomtrap(A,B,C),B),2) = k5_algstr_0(A,C,B) & k1_rlvect_1(A,k5_algstr_0(A,C,k1_geomtrap(A,B,C)),2) = k5_algstr_0(A,C,B) ) ) ) ) )).
fof(t10_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k5_gfacirc1(A,B,C)) = k1_enumset1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) )).
fof(t10_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => k4_gfacirc2(k1_nat_1(B,1),A,C,D) = k12_gfacirc1(k1_funct_1(C,k1_nat_1(B,1)),k1_funct_1(D,k1_nat_1(B,1)),k3_gfacirc2(B,C,D)) ) ) ) ) ) )).
fof(t10_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ( ~ r2_tarski(C,k5_glib_000) => ( k6_glib_000(A) = k6_glib_000(k13_glib_000(A,C,B)) & k7_glib_000(A) = k7_glib_000(k13_glib_000(A,C,B)) & k10_glib_000(A) = k8_glib_000(k13_glib_000(A,C,B)) & k11_glib_000(A) = k9_glib_000(k13_glib_000(A,C,B)) & v1_relat_1(k13_glib_000(A,C,B)) & v4_relat_1(k13_glib_000(A,C,B),k4_ordinal1) & v1_funct_1(k13_glib_000(A,C,B)) & v1_finset_1(k13_glib_000(A,C,B)) & v1_glib_000(k13_glib_000(A,C,B)) ) ) ) ) )).
fof(t10_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => r2_tarski(k1_funct_1(B,k1_nat_1(C,1)),k28_glib_000(A,k5_glib_001(A,B,C))) ) ) ) ) )).
fof(t10_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ! [D] : ! [E] : ( ( r2_hidden(D,k1_glib_002(A,B)) & r1_glib_000(A,D,E,C) ) => r2_hidden(E,k1_glib_002(A,B)) ) ) ) )).
fof(t10_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v1_glib_003(B) ) => ! [C] : ( ( v1_glib_003(C) & v4_glib_003(C,A) & m1_glib_000(C,A) ) => ( ( r5_glib_000(A,B) & k5_glib_003(A) = k5_glib_003(B) ) => ( v1_glib_003(C) & v4_glib_003(C,B) & m1_glib_000(C,B) ) ) ) ) ) )).
fof(t10_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ! [C] : ( ( v1_glib_003(C) & v4_glib_003(C,A) & m2_glib_000(C,A,k6_glib_000(A),k6_subset_1(k7_glib_000(A),k1_tarski(B))) ) => ( r2_tarski(B,k7_glib_000(A)) => k4_glib_004(A) = k2_xcmplx_0(k4_glib_004(C),k1_funct_1(k5_glib_003(A),B)) ) ) ) )).
fof(t10_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => r2_tarski(C,k1_relset_1(k6_glib_000(A),k6_glib_005(A,B,C))) ) ) ) )).
fof(t10_goboard2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ~ ( A != k1_xboole_0 & k2_goboard1(A) = k1_xboole_0 ) ) )).
fof(t10_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v1_goboard1(B) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_matrix_0(B)) ) => ( v3_relat_1(B) | k1_goboard5(B,k5_numbers) = a_2_9_goboard5(A,B) ) ) ) ) )).
fof(t10_goboard6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) => ( ( E = k19_euclid(A,B) & r1_xxreal_0(k5_numbers,D) ) => ( r1_xxreal_0(C,D) | r2_tarski(k19_euclid(A,k6_xcmplx_0(B,D)),k8_metric_1(k14_euclid(2),E,C)) ) ) ) ) ) ) ) )).
fof(t10_goboard7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( v1_sppol_1(k2_topreal1(2,A,B)) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k2_goboard2(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,k2_topreal1(2,A,B)) => k18_euclid(D) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,C)) ) ) ) ) ) ) ) )).
fof(t10_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_matrix_0(k2_goboard2(A))) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k7_nat_d(k1_matrix_0(k2_goboard2(A)),1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k7_nat_d(k1_matrix_0(k2_goboard2(A)),1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k7_nat_d(k1_matrix_0(k2_goboard2(A)),1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A)))),k7_xcmplx_0(1,2)),k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_matrix_0(k2_goboard2(A))),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A)))),k7_xcmplx_0(1,2)),k19_euclid(k5_numbers,1))),k3_topreal1(2,A)) ) ) ) ) ) ) )).
fof(t10_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(1,C) & k2_xcmplx_0(B,C) = k3_finseq_1(A) ) => k5_goboard5(k1_goboard9(A),B) = k4_goboard5(A,C) ) ) ) ) )).
fof(t10_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( B = a_1_5_gobrd11(A) & C = a_1_6_gobrd11(A) ) => B = k3_subset_1(u1_struct_0(k15_euclid(2)),C) ) ) ) ) )).
fof(t10_gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k2_goboard9(A),k3_goboard9(A)) ) )).
fof(t10_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(D),k9_matrix_0(E)) & r2_hidden(k4_tarski(A,B),k2_matrix_0(D)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k3_finseq_1(E),C) ) => A = k3_finseq_1(D) ) ) ) ) ) ) )).
fof(t10_gobrd14,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v2_compts_1(D,k15_euclid(2)) & ~ v1_sppol_1(D) & ~ v2_sppol_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_hidden(k4_tarski(A,B),k2_matrix_0(k1_jordan8(D,C))) & r2_hidden(k4_tarski(k1_nat_1(A,1),B),k2_matrix_0(k1_jordan8(D,C))) ) => k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,C),A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(D,C),k1_nat_1(A,1),B)) = k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(D),k6_pscomp_1(D)),k1_newton(2,C)) ) ) ) ) ) )).
fof(t10_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ? [C] : ( v1_qc_trans(C,A) & m1_qc_lang1(C) & ? [D] : ( v1_henmodel(D,C) & m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(C))) & r1_tarski(B,D) & v2_goedelcp(D,C) ) ) ) ) )).
fof(t10_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( ( v1_henmodel(D,A) & m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [E] : ( m1_henmodel(E,A,D) => ( r1_valuat_1(A,k1_henmodel(A),k12_cqc_lang(A,C,B),E,k3_henmodel(A)) <=> ? [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) & r1_valuat_1(A,k1_henmodel(A),k4_substut2(A,B,C,F),E,k3_henmodel(A)) ) ) ) ) ) ) ) )).
fof(t10_gr_cy_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_group_1(B,k5_group_1(B,C,A)) = k5_group_1(B,C,k6_xcmplx_0(k7_group_1(B),k4_nat_d(A,k7_group_1(B)))) ) ) ) )).
fof(t10_gr_cy_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( ( k7_group_1(k5_group_4(C,k6_domain_1(u1_struct_0(C),k5_group_1(C,D,B)))) = k7_group_1(k5_group_4(C,k6_domain_1(u1_struct_0(C),k5_group_1(C,D,A)))) & r1_struct_0(k5_group_4(C,k6_domain_1(u1_struct_0(C),k5_group_1(C,D,B))),k5_group_1(C,D,A)) ) => r1_group_2(C,k5_group_4(C,k6_domain_1(u1_struct_0(C),k5_group_1(C,D,B))),k5_group_4(C,k6_domain_1(u1_struct_0(C),k5_group_1(C,D,A)))) ) ) ) ) ) )).
fof(t10_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_gr_cy_3(A) ) => ? [B] : ( v7_ordinal1(B) & v1_int_2(B) & v2_gr_cy_3(B) & A = k1_nat_1(k3_xcmplx_0(2,B),1) ) ) )).
fof(t10_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( r1_graph_1(A,B,C) => r1_graph_1(A,C,B) ) ) ) ) )).
fof(t10_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k7_finseq_1(k7_finseq_1(k1_graph_2(A,1,B),k1_graph_2(A,k1_nat_1(B,1),C)),k1_graph_2(A,k1_nat_1(C,1),k3_finseq_1(A))) = A ) ) ) ) )).
fof(t10_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v2_funct_1(C) & v1_msscyc_1(C,A) & m2_graph_1(C,A) ) => ~ ( r2_tarski(B,k4_finseq_1(C)) & ! [D] : ( ( v2_funct_1(D) & v1_msscyc_1(D,A) & m2_graph_1(D,A) ) => ~ ( k1_funct_1(D,1) = k1_funct_1(C,B) & k3_finseq_1(D) = k3_finseq_1(C) & k10_xtuple_0(D) = k10_xtuple_0(C) ) ) ) ) ) ) )).
fof(t10_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( v7_graph_1(D,A) & m2_graph_1(D,A) ) => ( ( r3_graph_4(A,B,D) & r3_graph_4(A,C,D) ) => ( D = k1_xboole_0 | B = C ) ) ) ) ) ) )).
fof(t10_graph_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( m2_graph_1(k7_finseq_1(A,B),C) => ( m2_graph_1(A,C) & m2_graph_1(B,C) ) ) ) ) ) )).
fof(t10_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ! [E] : ( ( r2_tarski(D,u4_struct_0(A)) & r2_tarski(E,u4_struct_0(A)) & r1_graph_4(A,B,C,D) & r1_graph_4(A,B,C,E) ) => D = E ) ) ) ) )).
fof(t10_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_grcat_1(C) & l1_grcat_1(C) ) => ( ( k7_grcat_1(C) = A & k8_grcat_1(C) = B & v13_vectsp_1(k9_grcat_1(C),k7_grcat_1(C),k8_grcat_1(C)) ) => ( v1_grcat_1(C) & m1_grcat_1(C,A,B) ) ) ) ) ) )).
fof(t10_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( r1_tarski(B,A) & v2_funct_1(A) ) => v2_funct_1(B) ) ) ) )).
fof(t10_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ( m1_group_6(C,A,B) => r1_tarski(k5_group_5(A,B,C),k8_group_2(A,B)) ) ) ) ) )).
fof(t10_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => v9_rewrite1(k3_polyred(A,B,C,k1_groeb_1(A,C,D))) ) ) ) ) )).
fof(t10_groeb_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r3_pre_poly(A,k2_groeb_2(A,B,D),k2_groeb_2(A,C,D)) => r3_pre_poly(A,B,k2_groeb_2(A,C,D)) ) ) ) ) )).
fof(t10_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_2(B) & v1_algstr_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom7(D,A,B) & v3_polynom7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => k4_card_1(k3_polynom1(k15_pre_poly(A),B,C)) = k4_card_1(k3_polynom1(k15_pre_poly(A),B,k10_polynom1(A,B,D,C))) ) ) ) ) )).
fof(t10_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k2_group_1(A,B) = k1_group_1(A) => B = k1_group_1(A) ) ) ) )).
fof(t10_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ? [C] : ( v15_algstr_0(C) & m1_group_2(C,A) & r3_group_10(B,A,C) ) ) ) )).
fof(t10_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ! [D] : ( ( v1_group_3(D,A) & m1_group_2(D,A) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( u1_struct_0(B) = k7_group_4(A,C,D) => k2_group_2(A,k13_group_2(A,C,E),k13_group_2(A,D,F)) = k13_group_2(A,B,k6_algstr_0(A,E,F)) ) ) ) ) ) ) ) )).
fof(t10_group_12,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_group_7(B) & v2_group_7(B,k2_finseq_1(A)) & v3_group_7(B,k2_finseq_1(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ! [E] : ( m2_finseq_1(E,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ( ( k3_finseq_1(D) = A & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,F),k1_funct_1(D,F)) ) & C = k3_group_4(k2_group_7(k2_finseq_1(A),B),D) & k3_finseq_1(E) = A & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,F),k1_funct_1(E,F)) ) & C = k3_group_4(k2_group_7(k2_finseq_1(A),B),E) ) => D = E ) ) ) ) ) ) )).
fof(t10_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_prvect_3(k19_prvect_1(A),B)),u1_struct_0(k19_prvect_1(k7_finseq_1(A,k9_finseq_1(B))))) & v13_vectsp_1(C,k4_prvect_3(k19_prvect_1(A),B),k19_prvect_1(k7_finseq_1(A,k9_finseq_1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_prvect_3(k19_prvect_1(A),B)),u1_struct_0(k19_prvect_1(k7_finseq_1(A,k9_finseq_1(B))))))) & v3_funct_2(C,u1_struct_0(k4_prvect_3(k19_prvect_1(A),B)),u1_struct_0(k19_prvect_1(k7_finseq_1(A,k9_finseq_1(B))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k19_prvect_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & D = F & k12_finseq_1(u1_struct_0(B),E) = G & k1_binop_1(C,D,E) = k7_finseq_1(F,G) ) ) ) ) ) ) ) )).
fof(t10_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))) = k4_card_3(k10_finseq_1(u1_struct_0(A),u1_struct_0(B))) ) ) )).
fof(t10_group_18,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ~ ( k6_group_1(B,D) = A & v1_int_2(A) & r1_struct_0(k5_group_4(B,k6_domain_1(u1_struct_0(B),D)),C) & C != k1_group_1(B) & ~ r1_group_2(B,k5_group_4(B,k6_domain_1(u1_struct_0(B),C)),k5_group_4(B,k6_domain_1(u1_struct_0(B),D))) ) ) ) ) ) )).
fof(t10_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ! [D] : ( ( r1_struct_0(k3_group_7(A,C),D) & ! [E] : ( r2_hidden(E,A) => m1_group_2(k2_group_19(A,C,E),B) ) ) => ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & v1_group_19(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) ) ) )).
fof(t10_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v3_group_1(A) => k2_group_2(A,k2_group_2(A,B,C),D) = k2_group_2(A,B,k2_group_2(A,C,D)) ) ) ) ) ) )).
fof(t10_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_group_2(D,A) => k2_group_2(A,k13_group_2(A,D,B),C) = k4_group_2(A,B,k12_group_2(A,D,C)) ) ) ) ) )).
fof(t10_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_group_4(A,k2_finseq_4(u1_struct_0(A),B,C)) = k6_algstr_0(A,B,C) ) ) ) )).
fof(t10_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_group_5(A,k6_finseq_1(u1_struct_0(A)),B) = k1_xboole_0 ) ) )).
fof(t10_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => v7_struct_0(k6_group_2(A)) ) )).
fof(t10_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v1_relat_1(k9_finseq_1(A)) & v4_relat_1(k9_finseq_1(A),k1_tarski(1)) & v1_funct_1(k9_finseq_1(A)) & v1_partfun1(k9_finseq_1(A),k1_tarski(1)) & v1_group_7(k9_finseq_1(A)) ) ) )).
fof(t10_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v4_group_1(B,A) => ! [C] : ( v1_int_1(C) => k5_group_1(A,B,C) = k5_group_1(A,B,k5_int_1(C,k6_group_1(A,B))) ) ) ) ) )).
fof(t10_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => m1_group_9(B,A,B) ) )).
fof(t10_groupp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ( ( m1_group_6(B,A,k10_group_5(A)) & v1_gr_cy_1(k5_group_6(A,B)) ) => v5_group_1(A) ) ) ) )).
fof(t10_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ( v15_algstr_0(k2_grsolv_1(A,B,C,D)) & m1_group_6(k2_grsolv_1(A,B,C,D),B,k10_group_6(A,B,C)) ) ) ) ) ) )).
fof(t10_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_gtarski1(A,B,C,B,C) ) ) ) )).
fof(t10_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k1_rlvect_3(B,k6_domain_1(u1_struct_0(B),D)) = k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(t10_hahnban1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( k3_complex1(k3_rlvect_1(k1_complfld,A,B)) = k3_real_1(k3_complex1(A),k3_complex1(B)) & k4_complex1(k3_rlvect_1(k1_complfld,A,B)) = k3_real_1(k4_complex1(A),k4_complex1(B)) ) ) ) )).
fof(t10_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ! [E] : ( ( r2_tarski(D,k1_funct_1(B,C)) & r2_tarski(E,k1_funct_1(B,C)) ) => ( D = E | k4_subset_1(k1_funct_1(B,C),k6_subset_1(k1_funct_1(B,C),k1_tarski(D)),k6_subset_1(k1_funct_1(B,C),k1_tarski(E))) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(t10_hausdorf,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) ) => ? [B] : ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & A = B & k3_weierstr(A) = k3_seq_4(B) ) ) )).
fof(t10_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k3_finseq_1(k8_glib_001(A,B,C,D)),k3_finseq_1(B)) ) ) ) ) )).
fof(t10_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_henmodel(A,B,k6_cqc_lang(A,C)) <=> ~ v1_henmodel(k4_subset_1(k3_cqc_lang(A),B,k6_domain_1(k3_cqc_lang(A),C)),A) ) ) ) ) )).
fof(t10_hermitan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( k4_complex1(A) = k5_numbers => ( k3_complex1(k8_group_1(k1_complfld,A,B)) = k4_real_1(k3_complex1(A),k3_complex1(B)) & k4_complex1(k8_group_1(k1_complfld,A,B)) = k4_real_1(k3_complex1(A),k4_complex1(B)) ) ) ) ) )).
fof(t10_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,B,C,D) & r1_collsp(A,B,C,E) & r1_collsp(A,D,F,E) & F != D & E != B & r1_collsp(A,F,B,D) ) ) ) ) ) ) ) )).
fof(t10_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => B = k2_lattice2(k7_normform(A),k11_normform(A),k3_heyting1(A,B),k4_heyting1(A)) ) )).
fof(t10_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ( C = k1_xboole_0 => k2_heyting2(A,B,C) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t10_heyting3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k5_finsub_1(k4_partfun1(A,C))) => ! [F] : ( m1_subset_1(F,k5_finsub_1(k4_partfun1(B,D))) => ( ( r1_tarski(A,B) & r1_tarski(C,D) & E = F ) => k3_substlat(A,C,E) = k3_substlat(B,D,F) ) ) ) )).
fof(t10_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,B) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,B),3),A) = k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),A) ) ) ) )).
fof(t10_hilbasis,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( k2_hilbasis(A,B) = k2_hilbasis(A,C) => B = C ) ) ) ) )).
fof(t10_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( r1_tarski(A,B) => r1_tarski(k5_hilbert1(A),k5_hilbert1(B)) ) ) ) )).
fof(t10_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => r1_xxreal_0(1,k3_finseq_1(A)) ) )).
fof(t10_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( k4_funct_4(A,B,C,D) = k4_funct_4(A,B,E,F) => ( A = B | ( C = E & D = F ) ) ) )).
fof(t10_hilbert4,axiom,( k5_hilbert4(k1_xboole_0) = k5_funct_4(k4_ordinal1,k5_numbers,1,1,k5_numbers) )).
fof(t10_holder_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,B,D)) ) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k8_nat_1(k1_numbers,B,D),A) ) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k2_power(k1_seq_2(B),A) ) ) ) ) ) ) )).
fof(t10_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => k3_trees_1(k13_trees_3(B,A)) = k2_xboole_0(a_1_3_huffman1(B),a_1_4_huffman1(A)) ) ) )).
fof(t10_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,k5_vfunct_1(k4_ordinal1,A,B)),B) ) ) )).
fof(t10_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_algstr_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_normsp_1(A,k2_hurwitz2(A,B),k1_hurwitz2(A,B)),B) ) ) )).
fof(t10_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ~ v1_xboole_0(u1_struct_0(A)) & v1_ideal_1(u1_struct_0(A),A) & v2_ideal_1(u1_struct_0(A),A) & v3_ideal_1(u1_struct_0(A),A) & m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(t10_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k3_incproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( B = E & C = F & D = G ) => ( r1_collsp(A,E,F,G) <=> ? [H] : ( m1_subset_1(H,u2_incsp_1(k3_incproj(A))) & r1_incsp_1(k3_incproj(A),B,H) & r1_incsp_1(k3_incproj(A),C,H) & r1_incsp_1(k3_incproj(A),D,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A))) => ( r4_incsp_1(A,k4_subset_1(u1_incsp_1(A),C,D),B) <=> ( r4_incsp_1(A,C,B) & r4_incsp_1(A,D,B) ) ) ) ) ) ) )).
fof(t10_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u2_graph_1(A),u1_graph_1(A),k1_oppcat_1(u4_struct_0(A),u4_struct_0(A),u4_struct_0(A),u1_cat_1(A)),k7_isocat_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ v1_xboole_0(k2_cat_1(A,C,D)) => ! [E] : ( m1_cat_1(E,A,C,D) => m2_cat_1(k7_index_1(u4_struct_0(A),k3_relat_1(u2_graph_1(A),k1_xfamily(B)),k3_relat_1(u1_graph_1(A),k1_xfamily(B)),k8_index_1(u1_struct_0(A),u4_struct_0(A),u2_graph_1(A),u1_graph_1(A),B),E),k2_index_1(u1_struct_0(A),k1_xfamily(B),D),k2_index_1(u1_struct_0(A),k1_xfamily(B),C)) ) ) ) ) ) ) )).
fof(t10_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & r1_tarski(u4_struct_0(B),u4_struct_0(A)) ) ) ) )).
fof(t10_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( k3_xcmplx_0(A,B) = k4_xcmplx_0(1) <=> ( ( A = k4_xcmplx_0(1) & B = 1 ) | ( A = 1 & B = k4_xcmplx_0(1) ) ) ) ) ) )).
fof(t10_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ( r1_int_1(A,B) => r1_int_1(A,k4_xcmplx_0(B)) ) & ( r1_int_1(A,k4_xcmplx_0(B)) => r1_int_1(A,B) ) & ( r1_int_1(A,B) => r1_int_1(k4_xcmplx_0(A),B) ) & ( r1_int_1(k4_xcmplx_0(A),B) => r1_int_1(A,B) ) & ( r1_int_1(A,B) => r1_int_1(k4_xcmplx_0(A),k4_xcmplx_0(B)) ) & ( r1_int_1(k4_xcmplx_0(A),k4_xcmplx_0(B)) => r1_int_1(A,B) ) & ( r1_int_1(A,k4_xcmplx_0(B)) => r1_int_1(k4_xcmplx_0(A),B) ) & ( r1_int_1(k4_xcmplx_0(A),B) => r1_int_1(A,k4_xcmplx_0(B)) ) ) ) ) )).
fof(t10_int_3,axiom,( v6_struct_0(k9_int_3(1)) & ~ v2_struct_0(k9_int_3(1)) & v13_algstr_0(k9_int_3(1)) & v3_group_1(k9_int_3(1)) & v2_rlvect_1(k9_int_3(1)) & v3_rlvect_1(k9_int_3(1)) & v4_rlvect_1(k9_int_3(1)) & v4_vectsp_1(k9_int_3(1)) & v5_vectsp_1(k9_int_3(1)) & l6_algstr_0(k9_int_3(1)) & v33_algstr_0(k9_int_3(1)) & v1_group_1(k9_int_3(1)) & v5_vectsp_1(k9_int_3(1)) & v5_group_1(k9_int_3(1)) )).
fof(t10_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_int_1(A,B,C) => r2_int_1(k3_xcmplx_0(A,D),k3_xcmplx_0(B,D),k3_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t10_int_5,axiom,( r1_int_5(1,2) )).
fof(t10_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( v1_int_1(C) => k3_xcmplx_0(C,k1_funct_1(A,B)) != k19_rvsum_1(A) ) ) ) ) )).
fof(t10_int_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => k22_pre_poly(A,k5_nat_3(A,B,C)) = k9_subset_1(A,k22_pre_poly(A,B),k22_pre_poly(A,C)) ) ) )).
fof(t10_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_int_2(C,D) => ( r1_xxreal_0(D,1) | ( r2_int_1(k1_newton(C,A),k1_newton(C,B),D) <=> r2_int_1(A,B,k3_pepin(C,D)) ) ) ) ) ) ) ) )).
fof(t10_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r1_tarski(k1_limfunc1(C),k1_relset_1(k1_numbers,A)) & r1_tarski(k1_limfunc1(C),k1_relset_1(k1_numbers,B)) & r4_integr10(A,C) & r4_integr10(B,C) ) => ( r4_integr10(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) & k4_integr10(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) = k2_xcmplx_0(k4_integr10(A,C),k4_integr10(B,C)) ) ) ) ) ) )).
fof(t10_integr11,axiom,( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(1,k5_numbers),k3_sin_cos2),k1_sin_cos2),k1_numbers) & ! [A] : ( v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(1,k5_numbers),k3_sin_cos2),k1_sin_cos2),k1_numbers),A) = k3_xcmplx_0(A,k1_funct_1(k1_sin_cos2,A)) ) )).
fof(t10_integr12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & C = k1_relset_1(k1_numbers,B) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k22_sin_cos),k16_sin_cos)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k22_sin_cos)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k22_sin_cos)),k3_seq_4(A))) ) ) ) ) )).
fof(t10_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k3_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos,k22_sin_cos)) & r1_tarski(C,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k22_sin_cos),k7_xcmplx_0(1,2)))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k22_sin_cos),k7_xcmplx_0(1,2)),k2_seq_4(A)),k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k22_sin_cos),k7_xcmplx_0(1,2)),k3_seq_4(A))) ) ) ) ) )).
fof(t10_integr14,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_fdiff_9))) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_fdiff_9)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_fdiff_9)),A),B) = k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k27_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B))),k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k27_sin_cos,B)))) ) ) ) ) ) )).
fof(t10_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(B) => ( v3_integra1(B,A) <=> ? [C] : ( v1_xreal_0(C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [E] : ( m2_integr15(E,A,B,D) => ( ( v2_comseq_2(k2_integra3(A,D)) & k1_seq_2(k2_integra3(A,D)) = k5_numbers ) => ( v2_comseq_2(k3_integr15(A,B,D,E)) & k1_seq_2(k3_integr15(A,B,D,E)) = C ) ) ) ) ) ) ) ) ) )).
fof(t10_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m1_integr16(D,A,B,C) => ! [E] : ( m1_integr15(E,A,k6_comseq_3(A,B),C) => ( E = k2_integr16(D) => k4_complex1(k3_integr16(A,B,C,D)) = k1_integr15(A,k6_comseq_3(A,B),C,E) ) ) ) ) ) ) )).
fof(t10_integr18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ( ( D = F & E = G ) => k6_vfunct_1(B,C,F,G) = k6_vfunct_1(A,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t10_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_xxreal_0(B,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,C) & r1_integr15(A,k3_integra5(B,C),F) & r1_integr15(A,k3_integra5(B,C),G) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),F,k3_integra5(B,C)),A) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),G,k3_integra5(B,C)),A) & r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,F)) & r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,G)) ) => ( r1_integr15(A,k3_integra5(D,E),k7_integr15(A,k1_numbers,F,G)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),k7_integr15(A,k1_numbers,F,G),k3_integra5(D,E)),A) ) ) ) ) ) ) ) ) ) )).
fof(t10_integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => r1_xxreal_0(k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,D)),k1_funct_1(C,D)) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k4_rlvect_1(A,B)),k18_rvsum_1(C)) ) ) ) ) )).
fof(t10_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_nfcont_3(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,D)) ) => v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k4_normsp_0(k1_numbers,C,D),k3_integra5(A,B))) ) ) ) ) ) )).
fof(t10_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_tarski(k1_rvsum_1(k3_valued_1(A,k1_numbers,k1_numbers,B,C)),k9_member_1(k1_rvsum_1(B),k1_rvsum_1(C))) ) ) ) )).
fof(t10_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( v4_xxreal_2(B) & r1_xxreal_0(A,k5_numbers) ) => v3_xxreal_2(k1_integra2(B,A)) ) ) ) )).
fof(t10_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( r2_hidden(A,k2_integra1(B,C,k3_finseq_1(C))) & r1_xxreal_0(2,k3_finseq_1(C)) & r1_integra1(C,D) & k1_rvsum_1(D) = k4_subset_1(k1_numbers,k1_rvsum_1(C),k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B,k1_numbers,E,B)) ) => r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k5_integra1(B,E,D)),k18_rvsum_1(k5_integra1(B,E,C))),k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)),k3_seq_4(k1_rvsum_1(E))),k1_integra3(B,C))) ) ) ) ) ) ) )).
fof(t10_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) => ( v1_integra1(B,A) & v2_integra1(B,A) ) ) ) ) )).
fof(t10_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t10_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(D)) & r1_integra5(k3_integra5(A,B),D) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(A,B))) ) => k4_integra5(A,B,k26_valued_1(k1_numbers,k1_numbers,D,C)) = k3_xcmplx_0(C,k4_integra5(A,B,D)) ) ) ) ) ) )).
fof(t10_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),C) & r2_fdiff_1(D,C) & r1_integra5(k3_integra5(A,B),k2_fdiff_1(D,C)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_1(D,C),k3_integra5(A,B))) ) => k1_funct_1(D,B) = k2_xcmplx_0(k4_integra5(A,B,k2_fdiff_1(D,C)),k1_funct_1(D,A)) ) ) ) ) )).
fof(t10_integra8,axiom,( k2_sin_cos6(k7_xcmplx_0(k3_square_1(2),2)) = k7_xcmplx_0(k28_sin_cos,4) )).
fof(t10_integra9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k18_sin_cos),A),B) = k6_xcmplx_0(k1_funct_1(k18_sin_cos,B),k3_xcmplx_0(B,k1_funct_1(k16_sin_cos,B))) ) ) ) ) )).
fof(t10_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_interva1(k1_tarski(B),A) ) ) )).
fof(t10_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => ( ( r2_tarski(B,k7_intpro_1(A)) & r2_tarski(k3_intpro_1(B,C),k7_intpro_1(A)) ) => r2_tarski(C,k7_intpro_1(A)) ) ) ) ) )).
fof(t10_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_funct_1(k2_irrat_1(k5_numbers),A) = 1 ) )).
fof(t10_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v12_cat_1(C,A,B) => v12_cat_1(k1_isocat_1(A,B,C),B,A) ) ) ) ) )).
fof(t10_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k8_cat_1(B,C,k10_cat_2(A,B,C,D,E),F) = k8_cat_1(k6_cat_2(A,B),C,D,k7_cat_2(A,B,E,F)) ) ) ) ) ) ) )).
fof(t10_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) <=> ( r1_tarski(k1_tops_1(A,k2_pre_topc(A,B)),B) & r1_tarski(B,k2_pre_topc(A,k1_tops_1(A,B))) ) ) ) ) )).
fof(t10_jct_misc,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => r1_xxreal_0(k5_numbers,k1_jct_misc(A,B)) ) ) )).
fof(t10_jgraph_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_jgraph_1(A,B,C) => r1_tarski(k2_relset_1(u4_struct_0(k1_jgraph_1(A)),k4_jgraph_1(A,C)),k2_relset_1(u4_struct_0(k1_jgraph_1(A)),k4_jgraph_1(A,B))) ) ) ) ) )).
fof(t10_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),E) & v3_pre_topc(E,B) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,F) & v3_pre_topc(F,A) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) ) ) )).
fof(t10_jgraph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(B,A,k3_topmetr) & v5_pre_topc(C,A,k3_topmetr) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,D) != k5_numbers ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E) = F & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,E) = G ) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),D,E) = k7_xcmplx_0(G,k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(F,G))))) ) ) ) ) & v5_pre_topc(D,A,k3_topmetr) ) ) ) ) ) ) )).
fof(t10_jgraph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( v5_pre_topc(B,A,k3_topmetr) & v5_pre_topc(C,A,k3_topmetr) & E != k5_numbers & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,F) != k5_numbers ) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,G) = H & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,G) = I ) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),F,G) = k3_xcmplx_0(I,k3_square_1(k9_complex1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H,I),D),E)))))) ) ) ) ) & v5_pre_topc(F,A,k3_topmetr) ) ) ) ) ) ) ) ) )).
fof(t10_jgraph_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k4_algstr_0(k15_euclid(A),k4_struct_0(k15_euclid(A))) = k4_struct_0(k15_euclid(A)) ) )).
fof(t10_jgraph_6,axiom,( k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k19_euclid(k4_xcmplx_0(1),k5_numbers) )).
fof(t10_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( k17_euclid(A) = D & k17_euclid(B) = D & r1_xxreal_0(E,k18_euclid(B)) & r1_xxreal_0(k18_euclid(A),F) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(F,E) | r1_xxreal_0(k18_euclid(A),k18_euclid(B)) | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).
fof(t10_jordan,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xboole_0(k7_subset_1(u1_struct_0(k15_euclid(2)),k4_topreal1(k1_jordan21(A)),k6_domain_1(u1_struct_0(k15_euclid(2)),k1_jordan21(A))),A) ) )).
fof(t10_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_subset_1(B,k2_goboard9(k1_jordan9(B,A))) ) ) )).
fof(t10_jordan11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_jordan1h(B,A) & r1_xboole_0(k3_goboard5(k1_jordan8(B,A),k7_nat_d(k3_jordan1h(B,A),1),k7_nat_d(k3_jordan11(B,A),1)),B) ) ) ) )).
fof(t10_jordan12,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => v1_finset_1(k3_setfam_1(a_1_0_jordan12(A),a_1_0_jordan12(B))) ) ) )).
fof(t10_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_xboole_0(A,k3_goboard9(k1_jordan13(A,B))) ) ) ) )).
fof(t10_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k1_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)) ) ) ) ) ) ) ) ) )).
fof(t10_jordan16,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),D,E,A) & r1_topreal1(k15_euclid(2),D,E,B) & r1_topreal1(k15_euclid(2),D,E,C) & k9_subset_1(u1_struct_0(k15_euclid(2)),B,C) = k2_tarski(D,E) & r1_tarski(A,k4_subset_1(u1_struct_0(k15_euclid(2)),B,C)) & A != B & A != C ) ) ) ) ) ) )).
fof(t10_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r1_jordan17(A,B,C,D,E) => r1_jordan17(A,C,D,E,B) ) ) ) ) ) ) )).
fof(t10_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,k5_topreal1(A))) = k17_euclid(A) ) )).
fof(t10_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ r1_xxreal_0(k9_pscomp_1(B),k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) ) )).
fof(t10_jordan1a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r1_tarski(B,k6_jordan6(A)) => v2_sppol_1(B) ) ) ) )).
fof(t10_jordan1b,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => r1_sprect_2(A,k1_finseq_6(u1_struct_0(k15_euclid(2)),A,B)) ) ) )).
fof(t10_jordan1c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( v2_compts_1(C,k15_euclid(2)) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( v1_int_1(D) => ~ ( r2_tarski(B,k1_jordan2c(2,C)) & D = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(B),k6_pscomp_1(C)),k6_xcmplx_0(k8_pscomp_1(C),k6_pscomp_1(C))),k1_newton(2,A)),2)) & r1_xxreal_0(D,1) ) ) ) ) ) )).
fof(t10_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k23_pscomp_1(B),k4_goboard5(k1_jordan9(B,A),C)) ) ) ) )).
fof(t10_jordan1e,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k1_nat_1(k3_finseq_1(k1_jordan1e(A,B)),k3_finseq_1(k2_jordan1e(A,B))) = k1_nat_1(k3_finseq_1(k1_jordan9(A,B)),1) ) ) )).
fof(t10_jordan1f,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => r1_goboard1(u1_struct_0(k15_euclid(2)),k1_jordan1e(A,B),k1_jordan8(A,B)) ) ) )).
fof(t10_jordan1g,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_topreal1(A) & v2_topreal1(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( ( ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k25_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k25_pscomp_1(k3_topreal1(2,A)) ) | ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k24_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k24_pscomp_1(k3_topreal1(2,A)) ) ) & r1_xxreal_0(k17_euclid(k24_pscomp_1(k3_topreal1(2,A))),k17_euclid(k25_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(t10_jordan1h,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => r2_relset_1(k4_ordinal1,k1_numbers,k1_goboard1(A),k1_partfun1(k4_ordinal1,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_numbers,A,k4_pscomp_1)) ) )).
fof(t10_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ r1_xxreal_0(k17_euclid(B),k8_pscomp_1(k3_topreal1(2,A))) => r2_tarski(B,k2_goboard9(A)) ) ) ) )).
fof(t10_jordan1j,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k10_xtuple_0(k2_jordan1e(B,A))) & r2_tarski(k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k3_topreal1(2,k2_jordan1e(B,A))) ) ) ) )).
fof(t10_jordan1k,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,C) => r1_xxreal_0(A,k3_metric_1(B,D,E)) ) ) => r1_xxreal_0(A,k1_funct_1(k6_weierstr(B,C),D)) ) ) ) ) ) )).
fof(t10_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & ~ r1_xxreal_0(k17_euclid(C),E) & r2_tarski(D,A) & k17_euclid(D) = E & ~ r3_jordan20(A,B,C,D,E) & ~ r4_jordan20(A,B,C,D,E) & ~ r6_jordan20(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t10_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => r1_xboole_0(k2_jordan2c(2,A),A) ) )).
fof(t10_jordan22,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( ~ r1_xxreal_0(D,C) & r2_hidden(k4_tarski(A,B),k2_matrix_0(k1_jordan8(E,C))) & r2_hidden(k4_tarski(k1_nat_1(A,1),B),k2_matrix_0(k1_jordan8(E,C))) & r1_xxreal_0(k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,C),A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,C),k1_nat_1(A,1),B)),k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,D),A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,D),k1_nat_1(A,1),B))) ) ) ) ) ) ) )).
fof(t10_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v3_jordan23(A) => v3_jordan23(k3_finseq_5(A)) ) ) )).
fof(t10_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v2_connsp_1(D,A) => v2_connsp_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(t10_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v1_xreal_0(C) => ( r2_tarski(B,k2_finseq_1(A)) => k16_rvsum_1(k1_funct_7(k5_euclid(A),B,C)) = C ) ) ) ) )).
fof(t10_jordan2c,axiom,( ! [A] : ( v1_xreal_0(A) => k12_euclid(k1_jordan2b(A)) = k9_complex1(A) ) )).
fof(t10_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k2_topreal1(2,A,1)) => k1_jordan3(A,B) = 1 ) ) ) )).
fof(t10_jordan4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k1_funct_1(k3_finseq_6(A,B,C,D),k3_finseq_1(k3_finseq_6(A,B,C,D))) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(t10_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( r2_tarski(C,k2_pcomps_1(k2_topmetr(A,B))) => ( r1_xxreal_0(B,A) | r2_hidden(A,C) | r2_hidden(B,C) | v3_rcomp_1(C) ) ) ) ) ) )).
fof(t10_jordan5b,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(A,k1_rltopsp1(k15_euclid(2),B,C)) => ( B = C | r2_jordan3(B,C,B,A) ) ) ) ) ) )).
fof(t10_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) ) => ( r1_jordan5c(A,B,C,B,D) & r1_jordan5c(A,B,C,D,C) ) ) ) ) ) ) )).
fof(t10_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k2_goboard2(A))) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(A)) & r2_hidden(k4_tarski(B,C),k2_matrix_0(k2_goboard2(A))) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,D)) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,C)) ) ) ) ) ) ) )).
fof(t10_jordan6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( r1_topreal1(k15_euclid(A),C,D,B) => v2_connsp_1(B,k15_euclid(A)) ) ) ) ) ) )).
fof(t10_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( v1_topreal2(A) & r1_jordan6(A,B,C) & r1_jordan6(A,C,D) ) => ( ( B = C & B = k18_pscomp_1(A) ) | ( C = D & C = k18_pscomp_1(A) ) | k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,B,C),k1_jordan7(A,C,D)) = k1_tarski(C) ) ) ) ) ) ) )).
fof(t10_jordan8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(4,k3_finseq_1(k1_jordan8(A,B))) ) ) )).
fof(t10_jordan9,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => ( v1_convex1(k1_tops_1(k15_euclid(2),k2_gobrd13(B,A,C)),k15_euclid(2)) & v1_convex1(k1_tops_1(k15_euclid(2),k1_gobrd13(B,A,C)),k15_euclid(2)) ) ) ) ) ) ) )).
fof(t10_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_jordan6(A,k22_pscomp_1(A),B) => k1_jordan7(A,B,k18_pscomp_1(A)) = k5_jordan6(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),B,k18_pscomp_1(A)) ) ) ) )).
fof(t10_knaster,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ~ ( v2_funct_1(C) & v2_funct_1(D) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ v3_funct_2(E,A,B) ) ) ) ) ) ) )).
fof(t10_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(B)) & v2_finsub_1(D) & ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(B)) & v2_finsub_1(E) & ! [F] : ( m1_prob_1(F,A,B) => ! [G] : ( m1_prob_1(G,A,B) => ( ( r2_tarski(F,D) & r2_tarski(G,E) ) => r1_prob_2(A,B,C,F,G) ) ) ) ) => ! [F] : ( m1_prob_1(F,A,B) => ! [G] : ( m1_prob_1(G,A,B) => ( ( r2_tarski(F,k9_prob_1(A,D)) & r2_tarski(G,k9_prob_1(A,E)) ) => r1_prob_2(A,B,C,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t10_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) => k3_kurato_0(A,D) = k9_subset_1(A,k3_kurato_0(A,B),k3_kurato_0(A,C)) ) ) ) ) )).
fof(t10_kurato_1,axiom,( k2_pre_topc(k3_topmetr,k6_kurato_1) = k4_subset_1(k1_numbers,k1_seq_4(1),k3_rcomp_1(2,k1_xxreal_0)) )).
fof(t10_kurato_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(A))) => ~ ( ~ r1_xboole_0(k8_metric_1(k14_euclid(A),E,B),k8_metric_1(k14_euclid(A),G,D)) & ~ r1_xboole_0(k8_metric_1(k14_euclid(A),G,D),k8_metric_1(k14_euclid(A),F,C)) & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(B,C),k3_xcmplx_0(2,D)),k3_metric_1(k14_euclid(A),E,F)) ) ) ) ) ) ) ) ) )).
fof(t10_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ( ( k4_nat_d(A,B) = k5_int_1(C,B) & k1_pepin(k3_xcmplx_0(2,C)) = k1_pepin(B) ) => ( r1_xxreal_0(B,1) | r1_xxreal_0(k3_xcmplx_0(2,C),k4_xcmplx_0(B)) | ( k3_xcmplx_0(2,C) = B & ? [D] : ( v7_ordinal1(D) & k3_xcmplx_0(2,A) = k3_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,D),1),B) ) ) ) ) ) ) ) )).
fof(t10_lang1,axiom,( ! [A] : k1_lang1(k6_lang1(A)) = k1_xboole_0 )).
fof(t10_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k2_finseq_1(k1_nat_1(A,1))) & r1_xxreal_0(2,A) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_sgraph1(k2_finseq_1(A)),k2_sgraph1(k2_finseq_1(k1_nat_1(A,1)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_sgraph1(k2_finseq_1(A)),k2_sgraph1(k2_finseq_1(k1_nat_1(A,1)))))) ) => ~ ( k10_xtuple_0(D) = k6_subset_1(k2_sgraph1(k2_finseq_1(k1_nat_1(A,1))),a_2_1_laplace(A,B)) & v2_funct_1(D) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_tarski(k2_tarski(E,F),k2_sgraph1(k2_finseq_1(A))) => ( r1_xxreal_0(F,E) | ( ~ ( ~ r1_xxreal_0(B,F) & ~ r1_xxreal_0(B,E) & k1_funct_1(D,k2_tarski(E,F)) != k2_tarski(E,F) ) & ( r1_xxreal_0(B,F) => ( r1_xxreal_0(B,E) | k1_funct_1(D,k2_tarski(E,F)) = k2_tarski(E,k1_nat_1(F,1)) ) ) & ( ( r1_xxreal_0(B,F) & r1_xxreal_0(B,E) ) => k1_funct_1(D,k2_tarski(E,F)) = k2_tarski(k1_nat_1(E,1),k1_nat_1(F,1)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k5_group_4(A,D)))) ) ) ) ) )).
fof(t10_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( r2_tarski(C,u1_struct_0(A)) => m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) ) ) ) )).
fof(t10_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,B,C) <=> k2_lattices(A,B,C) = B ) ) ) ) )).
fof(t10_lattice2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( m1_subset_1(E,k5_finsub_1(A)) => ( ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,E) => k1_funct_1(D,F) = k1_funct_1(C,F) ) ) => k7_funct_4(A,B,C,k2_partfun1(A,B,D,E)) = C ) ) ) ) ) )).
fof(t10_lattice3,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_lattice3(A) <=> v2_lattice3(k7_lattice3(A)) ) ) )).
fof(t10_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_lattice4(A,k2_setwiseo(u1_struct_0(A),B)) = B ) ) )).
fof(t10_lattice5,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k1_lattice5(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_lattice5(A))) => ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( ( v1_partfun1(E,A) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( B = D & C = E ) => k13_lattice3(k1_lattice5(A),B,C) = k5_eqrel_1(A,D,E) ) ) ) ) ) )).
fof(t10_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ( k3_lattice6(A,k6_lattices(A)) = k6_lattices(A) & v2_waybel_6(k4_lattice3(A,k6_lattices(A)),k3_lattice3(A)) ) ) )).
fof(t10_lattice7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k3_lattice7(A)) <=> ( B != k3_yellow_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B = k13_lattice3(A,C,D) & B != C & B != D ) ) ) ) ) ) ) )).
fof(t10_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v2_lattice5(C,A,B) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => v2_lattice5(k2_lattice8(A,B,C,D),k1_lattice8(A),B) ) ) ) ) ) )).
fof(t10_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( A = k1_lattice3(k1_tarski(k1_xboole_0)) & v1_filter_0(B,A) ) => B = k1_tarski(k6_lattices(A)) ) ) ) )).
fof(t10_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)) = k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)) ) ) ) => v11_lattices(A) ) ) )).
fof(t10_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) & v2_lexbfs(A) & v3_lexbfs(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k39_glib_000(A),B) & r1_xxreal_0(B,C) ) => k1_funct_1(A,C) = k1_funct_1(A,B) ) ) ) ) )).
fof(t10_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v3_orders_2(k3_waybel_3(A,B,C)) & v4_orders_2(k3_waybel_3(A,B,C)) & v5_orders_2(k3_waybel_3(A,B,C)) & v2_lattice3(k3_waybel_3(A,B,C)) & l1_orders_2(k3_waybel_3(A,B,C)) ) ) => v2_lattice3(k4_yellow_1(A,B)) ) ) ) )).
fof(t10_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ( v2_lfuzzy_1(B,A) & v2_lfuzzy_1(C,A) ) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k1_fuzzy_4(A,A,k2_lfuzzy_1(k2_zfmisc_1(A,A),B,C)),k2_lfuzzy_1(k2_zfmisc_1(A,A),B,C)) ) ) ) ) )).
fof(t10_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_limfunc1(A) & v1_limfunc1(B) ) => v1_limfunc1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t10_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r4_limfunc2(B,A) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,D) & ~ r1_xxreal_0(D,A) & r2_hidden(D,k1_relset_1(k1_numbers,B)) ) ) ) ) & ? [C] : ( v1_xreal_0(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,A) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,F),C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_limfunc3(B,A) <=> ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_xtuple_0(B)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k9_xtuple_0(B)) ) ) ) ) ) ) & ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,E)),k5_numbers) & ~ r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(A,E))) & r2_hidden(E,k9_xtuple_0(B)) & r1_xxreal_0(k1_funct_1(B,E),C) ) ) ) ) ) ) ) ) )).
fof(t10_limfunc4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v8_limfunc1(A) & v8_limfunc1(B) & ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(C,D) & r2_hidden(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,B))) ) ) ) => v8_limfunc1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t10_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k1_vectsp_7(A,B,k1_subset_1(u1_struct_0(B))) = k1_vectsp_4(A,B) ) ) )).
fof(t10_lmod_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_vectsp_4(D,B,C) => ( r2_tarski(A,k2_lmod_6(B,C,D,k2_struct_0(D))) <=> r1_struct_0(D,A) ) ) ) ) )).
fof(t10_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( r2_tarski(D,k3_vectsp_4(A,B,C,E)) <=> r1_struct_0(E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) )).
fof(t10_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ~ v2_struct_0(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v13_algstr_0(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v2_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v3_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v4_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v5_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v6_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v7_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & v8_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) & l1_rlvect_1(g1_rlvect_1(k9_funct_2(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k3_lopban_1(A,B))) ) ) ) )).
fof(t10_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => k3_lopban_2(A,B,k2_lopban_2(A,C,D)) = k2_lopban_2(A,k3_lopban_2(A,B,C),k3_lopban_2(A,B,D)) ) ) ) ) )).
fof(t10_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,C),B)),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,C)),B)) ) ) ) )).
fof(t10_lopban_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ( B = C => k2_pre_topc(k3_normsp_2(A),B) = k2_pre_topc(k4_normsp_2(A),C) ) ) ) ) )).
fof(t10_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( ( m1_rlsub_1(A,B) & u1_struct_0(A) = C & u1_normsp_0(A) = k2_partfun1(u1_struct_0(B),k1_numbers,u1_normsp_0(B),u1_struct_0(A)) & v2_nfcont_1(C,B) ) => v3_lopban_1(A) ) ) ) ) )).
fof(t10_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_lopclset(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_lopclset(A))) => k3_lattices(k6_lopclset(A),B,C) = k2_xboole_0(B,C) ) ) ) )).
fof(t10_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ( u1_struct_0(B) = k2_lp_space(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) <=> ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_series_1(k1_lp_space(k2_rsspace(C),A)) ) ) & k4_struct_0(B) = k3_rsspace & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => C = k2_rsspace(C) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_algstr_0(B,C,D) = k1_series_1(k1_numbers,k2_rsspace(C),k2_rsspace(D)) ) ) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_rlvect_1(B,D,C) = k26_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(D),C) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k4_algstr_0(B,C) = k32_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(C)) & r2_funct_2(k4_ordinal1,k1_numbers,k2_rsspace(k4_algstr_0(B,C)),k32_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(C))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k5_algstr_0(B,C,D) = k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(C),k2_rsspace(D)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => v1_series_1(k1_lp_space(k2_rsspace(C),A)) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_normsp_0(B,C) = k2_power(k4_series_1(k1_lp_space(k2_rsspace(C),A)),k7_xcmplx_0(1,A)) ) ) ) ) ) ) )).
fof(t10_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => k1_binop_1(k9_lpspacc1(A),B,k1_binop_1(k8_lpspacc1(A),k4_xcmplx_0(k6_complex1),B)) = k2_partfun1(A,k2_numbers,k10_lpspacc1(A),k1_relset_1(A,B)) ) ) )).
fof(t10_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),B,C),k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),C,B)) ) ) ) )).
fof(t10_lpspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => ( r1_xxreal_0(k3_extreal1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),B),k8_nat_1(k1_numbers,k3_series_1(A),C))),k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),C))) & r1_xxreal_0(k3_extreal1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),B),k8_nat_1(k1_numbers,k3_series_1(A),C))),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) ) ) ) ) ) )).
fof(t10_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k6_ltlaxio1(A))) = 1 <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(B,D),A)) = 1 ) ) ) ) ) )).
fof(t10_ltlaxio2,axiom,( k7_partfun1(k1_hilbert1,k2_ltlaxio2(k6_finseq_1(k1_hilbert1)),k3_finseq_1(k2_ltlaxio2(k6_finseq_1(k1_hilbert1)))) = k3_ltlaxio1 )).
fof(t10_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ~ ( r2_tarski(k4_hilbert1(C,D),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_ltlaxio1(A,B))) & ~ r2_tarski(k4_hilbert1(C,D),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A)) & ~ r2_tarski(k4_hilbert1(C,D),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B)) ) ) ) ) ) )).
fof(t10_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) => k3_ltlaxio4(k4_subset_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),A,B)) = k4_subset_1(k1_hilbert1,k3_ltlaxio4(A),k3_ltlaxio4(B)) ) ) )).
fof(t10_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,k8_cqc_lang(A,B,C)),k8_cqc_lang(A,B,C)),k4_cqc_the1(A)) ) ) ) )).
fof(t10_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,D) => ( r1_tarski(k3_mathmorp(A,B,D),k3_mathmorp(A,B,C)) & r1_tarski(k6_rusub_4(A,B,C),k6_rusub_4(A,B,D)) ) ) ) ) ) ) )).
fof(t10_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( v4_matrix10(B) & v1_matrix10(C) ) => v1_matrix10(k4_matrix10(A,B,C)) ) ) ) ) )).
fof(t10_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(k1_nat_1(A,2))) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(k1_nat_1(A,2))) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & ~ v6_struct_0(G) & v13_algstr_0(G) & v33_algstr_0(G) & v3_group_1(G) & v5_group_1(G) & v4_vectsp_1(G) & v5_vectsp_1(G) & v2_rlvect_1(G) & v3_rlvect_1(G) & v4_rlvect_1(G) & l6_algstr_0(G) ) => ( ( r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),D,k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),C,B)) & v5_matrix_1(C,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) & k1_funct_1(C,E) = F ) => ( r1_xxreal_0(F,E) | k1_group_1(G) = k4_algstr_0(G,k1_group_1(G)) | ( k1_funct_1(k1_matrix11(A,G,B),k2_tarski(E,F)) != k1_funct_1(k1_matrix11(A,G,D),k2_tarski(E,F)) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k1_nat_1(A,2))) => ( E = H | F = H | ( ~ ( k1_funct_1(k1_matrix11(A,G,B),k2_tarski(E,H)) != k1_funct_1(k1_matrix11(A,G,D),k2_tarski(E,H)) & k1_funct_1(k1_matrix11(A,G,B),k2_tarski(F,H)) = k1_funct_1(k1_matrix11(A,G,D),k2_tarski(F,H)) ) & ~ ( k1_funct_1(k1_matrix11(A,G,B),k2_tarski(F,H)) != k1_funct_1(k1_matrix11(A,G,D),k2_tarski(F,H)) & k1_funct_1(k1_matrix11(A,G,B),k2_tarski(E,H)) = k1_funct_1(k1_matrix11(A,G,D),k2_tarski(E,H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v6_struct_0(E) & v13_algstr_0(E) & v33_algstr_0(E) & v4_vectsp_1(E) & v5_vectsp_1(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v3_group_1(E) & v5_group_1(E) & l6_algstr_0(E) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(E),C,D) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(E))) ) => k1_matrix12(C,D,E,F,B,A) = k1_matrix12(C,D,E,F,A,B) ) ) ) ) ) ) )).
fof(t10_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => k1_card_1(k2_sgraph1(k2_finseq_1(A))) = k4_newton(2,A) ) )).
fof(t10_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_finseq_1(B) = k3_finseq_1(C) => k13_fvsum_1(A,B,k9_fvsum_1(A,C,D)) = k8_group_1(A,D,k13_fvsum_1(A,B,C)) ) ) ) ) ) )).
fof(t10_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ! [E] : ( ( v1_finset_1(E) & v1_setfam_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ( r1_tarski(k2_zfmisc_1(C,E),k2_matrix_0(B)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(F,k7_subset_1(k4_ordinal1,k4_finseq_1(B),C)) & r2_tarski(G,k7_subset_1(k4_ordinal1,k2_finseq_1(k1_matrix_0(B)),D)) & k3_matrix_0(u1_struct_0(A),B,F,G) != k4_struct_0(A) & r1_tarski(D,E) & k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,u1_struct_0(A),k5_matrix13(E),k7_matrix_0(u1_struct_0(A),B,F)) = k5_finseq_2(u1_struct_0(A),k4_card_1(E),k4_struct_0(A)) & r1_xxreal_0(k8_matrix13(A,B),k8_matrix13(A,k6_matrix13(u1_struct_0(A),B,C,D))) ) ) ) ) ) ) ) ) ) )).
fof(t10_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),A,A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix16(F,u1_struct_0(B)) & v1_matrix16(G,u1_struct_0(B)) & v1_matrix16(H,u1_struct_0(B)) ) => v1_matrix16(k3_matrix_3(B,k3_matrix_3(B,k2_matrix13(A,A,B,F,C),k2_matrix13(A,A,B,G,D)),k2_matrix13(A,A,B,H,E)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).
fof(t10_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v5_matrix17(B,u1_struct_0(A)) & v5_matrix17(C,u1_struct_0(A)) & k3_finseq_1(B) = k3_finseq_1(C) ) => v5_matrix17(k3_fvsum_1(A,B,C),u1_struct_0(A)) ) ) ) ) )).
fof(t10_matrix_1,axiom,( k9_matrix_1(1) = k1_tarski(k1_finseq_2(1)) )).
fof(t10_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(k3_matrix_1(B,A))) => ( C = D | k1_funct_1(k8_matrix_0(u1_struct_0(B),k3_matrix_1(B,A),D),C) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(t10_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_4(A,C,B) = C ) => B = k1_matrix_3(A,k3_finseq_1(B),k1_matrix_0(B)) ) ) ) ) )).
fof(t10_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k7_matrix_5(1,A) = A ) )).
fof(t10_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => k4_matrix_0(u1_struct_0(B),k3_matrix_1(B,A)) = k3_matrix_1(B,A) ) ) )).
fof(t10_matrix_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_matrix_1(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_matrix_1(2))) => ~ ( ? [C] : ( m1_matrix_1(C,k9_matrix_1(2)) & C = A & v5_matrix_1(C,k8_matrix_1(k9_matrix_1(2))) ) & ? [C] : ( m1_matrix_1(C,k9_matrix_1(2)) & C = B & v5_matrix_1(C,k8_matrix_1(k9_matrix_1(2))) ) & k6_algstr_0(k10_matrix_1(2),A,B) != k10_finseq_1(1,2) ) ) ) )).
fof(t10_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_6(C,A,B) & v1_matrix_8(C,A,B) ) => C = k3_matrix_1(B,A) ) ) ) ) )).
fof(t10_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_matrix_1(F,k9_matrix_1(2)) => ( F = k3_finseq_5(k1_finseq_2(2)) => k10_matrix_3(2,A,k15_matrix_0(u1_struct_0(A),B,C,D,E),F) = k2_finseq_4(u1_struct_0(A),C,D) ) ) ) ) ) ) ) )).
fof(t10_matrixc1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k2_numbers)) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(C)) => k3_matrix_0(k2_numbers,k4_matrix_5(C),A,B) = k4_xcmplx_0(k3_matrix_0(k2_numbers,C,A,B)) ) ) ) ) )).
fof(t10_matrixj1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r2_tarski(A,k4_finseq_1(C)) & r2_tarski(B,k2_finseq_1(k7_partfun1(k4_ordinal1,C,A))) ) => ( r2_tarski(k1_nat_1(B,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(A,1),C))),k2_finseq_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,A,C)))) & k1_matrixj1(C,k1_nat_1(B,k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(A,1),C)))) = A ) ) ) ) ) )).
fof(t10_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => m1_matrixj2(k1_xboole_0,A,B) ) ) )).
fof(t10_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k8_rvsum_1(A,B) = k5_euclid(k3_finseq_1(A)) ) => A = B ) ) ) )).
fof(t10_matrixr2,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_hidden(k4_tarski(B,C),k2_matrix_0(A)) => k3_matrix_0(k1_numbers,k4_matrixr1(A),B,C) = k1_real_1(k3_matrix_0(k1_numbers,A,B,C)) ) ) ) ) )).
fof(t10_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k9_xtuple_0(D)) => k1_funct_1(E,F) = k3_vectsp_1(A,B,k7_partfun1(u1_struct_0(A),D,F),C) ) ) ) => k4_rlvect_1(B,E) = k3_vectsp_1(A,B,k4_rlvect_1(A,D),C) ) ) ) ) ) ) )).
fof(t10_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( k3_finseq_1(C) = k3_finseq_1(D) => k4_rlvect_1(B,k3_fvsum_1(B,C,D)) = k3_rlvect_1(B,k4_rlvect_1(B,C),k4_rlvect_1(B,D)) ) ) ) ) ) )).
fof(t10_matroid0,axiom,( ! [A] : ( v4_taxonom2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_matroid0(A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ! [D] : ( r2_hidden(D,B) => r2_hidden(D,k1_funct_1(C,D)) ) => ( v3_pre_topc(B,k2_matroid0(A)) <=> v2_funct_1(C) ) ) ) ) ) )).
fof(t10_matrprob,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) <=> ? [C] : ( v7_ordinal1(C) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ! [E] : ( m2_finseq_1(E,A) => ~ ( k1_funct_1(B,D) = E & k3_finseq_1(E) = C ) ) ) ) ) ) ) )).
fof(t10_matrtop1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) & v1_valued_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_xtuple_0(B),k9_xtuple_0(B)) & v3_funct_2(D,k9_xtuple_0(B),k9_xtuple_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(B),k9_xtuple_0(B)))) ) => ( C = k3_relat_1(D,B) => k16_rvsum_1(k15_finseq_1(k5_relat_1(B,A))) = k16_rvsum_1(k15_finseq_1(k5_relat_1(C,k8_relat_1(D,A)))) ) ) ) ) )).
fof(t10_matrtop2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlvect_2(C,A) => m1_rlvect_2(k2_partfun1(u1_struct_0(A),k1_numbers,C,u1_struct_0(B)),B) ) ) ) )).
fof(t10_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_comseq_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k5_normsp_1(A,k2_ndiff_1(A,B,C)) = k1_rlvect_1(A,B,k1_seq_2(C)) ) ) ) )).
fof(t10_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,k1_mboolean(A,k4_pboole(A,B,C)),k2_pboole(A,k7_funcop_1(A,k1_tarski(k1_xboole_0)),k4_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C)))) ) ) )).
fof(t10_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,k2_zfmisc_1(B,C)) => ( r2_hidden(k1_xtuple_0(A),B) & r2_hidden(k2_xtuple_0(A),C) ) ) )).
fof(t10_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => r1_xxreal_0(k12_supinf_2(C,k1_measure1(A,B,D,E)),k3_supinf_2(k12_supinf_2(C,D),k12_supinf_2(C,E))) ) ) ) ) )).
fof(t10_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(B,D,k5_numbers) = k8_nat_1(B,C,k5_numbers) & ! [F] : ( v7_ordinal1(F) => k8_nat_1(B,D,k1_nat_1(F,1)) = k1_measure1(A,B,k8_nat_1(B,C,k1_nat_1(F,1)),k8_nat_1(B,D,F)) ) & k8_nat_1(B,E,k5_numbers) = k8_nat_1(B,C,k5_numbers) & ! [F] : ( v7_ordinal1(F) => k8_nat_1(B,E,k1_nat_1(F,1)) = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(F,1)),k8_nat_1(B,D,F)) ) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(G,F) => r1_xboole_0(k8_nat_1(B,E,F),k8_nat_1(B,E,G)) ) ) ) ) ) ) ) ) )).
fof(t10_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(B,D,k5_numbers) = k1_xboole_0 & ! [F] : ( v7_ordinal1(F) => ( k8_nat_1(B,D,k1_nat_1(F,1)) = k3_measure1(A,B,k8_nat_1(B,E,k5_numbers),k8_nat_1(B,E,F)) & r1_tarski(k8_nat_1(B,E,k1_nat_1(F,1)),k8_nat_1(B,E,F)) ) ) ) => ( r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k8_nat_1(B,E,k5_numbers))) | k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C))) = k4_supinf_2(k12_supinf_2(C,k8_nat_1(B,E,k5_numbers)),k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C)))) ) ) ) ) ) ) )).
fof(t10_measure4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_measure4(D,C) => ( ( r2_tarski(A,k1_measure4(C,D)) & r2_tarski(B,k1_measure4(C,D)) ) => r2_tarski(k6_subset_1(A,B),k1_measure4(C,D)) ) ) )).
fof(t10_measure5,axiom,( k2_measure5(k1_xboole_0) = k1_supinf_2 )).
fof(t10_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xxreal_0(B) => ( ? [C] : ( v1_xxreal_0(C) & r1_xxreal_0(B,C) & A = k1_xxreal_1(B,C) ) => B = k7_supinf_2(A) ) ) ) )).
fof(t10_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v6_supinf_2(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k4_ordinal1))) ) => ( v2_funct_1(C) => r1_xxreal_0(k17_supinf_2(k1_measure7(B,k1_partfun1(B,k4_ordinal1,k4_ordinal1,k6_numbers,C,A))),k17_supinf_2(A)) ) ) ) ) ) )).
fof(t10_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => v6_supinf_2(k6_measure8(A,B,C)) ) ) )).
fof(t10_member_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k4_member_1(k2_tarski(A,B)) = k2_tarski(k2_xxreal_3(A),k2_xxreal_3(B)) ) ) )).
fof(t10_membered,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_membered(A) ) => ? [B] : ( v1_rat_1(B) & r2_hidden(B,A) ) ) )).
fof(t10_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v4_memstr_0(C,A,B) ) => ~ r2_tarski(k4_struct_0(B),k9_xtuple_0(C)) ) ) ) )).
fof(t10_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_euclid_6(k4_struct_0(k15_euclid(2)),A,B) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k17_euclid(A),k18_euclid(B)),k3_xcmplx_0(k17_euclid(B),k18_euclid(A))),2) ) ) )).
fof(t10_mesfun10,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,k6_numbers) => ( ( r2_tarski(C,k1_numbers) & ! [D] : ( v7_ordinal1(D) => k12_supinf_2(A,D) = k3_supinf_2(C,k12_supinf_2(B,D)) ) ) => ( k6_rinfsup2(A) = k3_supinf_2(C,k6_rinfsup2(B)) & k5_rinfsup2(A) = k3_supinf_2(C,k5_rinfsup2(B)) ) ) ) ) ) )).
fof(t10_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( r1_mesfun6c(A,B,C,D) & r1_mesfun6c(A,B,C,E) ) => r1_mesfun6c(A,B,C,k6_prob_1(A,B,D,E)) ) ) ) ) ) ) )).
fof(t10_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,k5_mesfun7c(A,B),C),k3_mesfun7c(A,k7_nat_1(k4_partfun1(A,k1_numbers),B,C))) ) ) ) )).
fof(t10_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => k1_relset_1(A,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),C)) = k1_setfam_1(a_3_0_mesfun9c(A,B,C)) ) ) ) )).
fof(t10_mesfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_xxreal_0(k6_xcmplx_0(B,A),k2_extreal1(1,k1_nat_1(C,1))) ) ) ) ) )).
fof(t10_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( v3_valued_0(B) => v3_valued_0(k6_mesfunc1(A,B,C)) ) ) ) ) )).
fof(t10_mesfunc3,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k6_numbers) => ! [C] : ( m1_subset_1(C,k6_numbers) => ( ( k4_finseq_1(A) = k4_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k12_supinf_2(B,D) = k1_extreal1(C,k12_supinf_2(A,D)) ) ) ) => ( ( ~ v1_xreal_0(C) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(A)) & r1_xxreal_0(k1_supinf_2,k12_supinf_2(A,D)) ) & ? [D] : ( v7_ordinal1(D) & r2_tarski(D,k4_finseq_1(A)) & r1_xxreal_0(k12_supinf_2(A,D),k1_supinf_2) ) ) | k4_extreal1(B) = k1_extreal1(C,k4_extreal1(A)) ) ) ) ) ) )).
fof(t10_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ! [C] : ~ ( r2_tarski(C,k1_relset_1(A,B)) & r1_xxreal_0(k12_supinf_2(B,C),k2_supinf_1) ) <=> v3_mesfunc5(B) ) ) ) )).
fof(t10_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( v1_xreal_0(F) => ( ! [G] : ( v7_ordinal1(G) => k1_funct_1(D,G) = k3_xboole_0(B,k11_mesfunc1(E,k6_xcmplx_0(F,k2_extreal1(1,k1_nat_1(G,1))))) ) => k3_xboole_0(B,k10_mesfunc1(E,F)) = k5_setfam_1(A,k4_measure1(A,C,D)) ) ) ) ) ) ) )).
fof(t10_mesfunc7,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( v7_ordinal1(B) => k4_mesfunc7(A,k1_nat_1(B,1)) = k1_extreal1(k4_mesfunc7(A,B),A) ) ) )).
fof(t10_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers))) => r2_funct_2(k4_ordinal1,k6_numbers,k3_mesfunc5(A,k4_mesfunc8(A,B),C),k4_rinfsup2(k3_mesfunc5(A,B,C))) ) ) ) ) )).
fof(t10_mesfunc9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( v1_xxreal_0(B) => ( ( v10_mesfunc5(A) & ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(B,k12_supinf_2(A,C)) ) ) => r1_xxreal_0(B,k2_mesfunc5(A)) ) ) ) )).
fof(t10_metric_1,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => r1_xxreal_0(k4_binop_1(k1_numbers,k6_metric_1,A,B),k3_real_1(k4_binop_1(k1_numbers,k6_metric_1,A,C),k4_binop_1(k1_numbers,k6_metric_1,C,B))) ) ) ) )).
fof(t10_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,k1_metric_2(A,B)) & r2_tarski(D,k1_metric_2(A,B)) ) => k3_metric_1(A,C,D) = k5_numbers ) ) ) ) ) )).
fof(t10_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ( k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,k10_metric_3(A,B),C,D) = k5_numbers <=> C = D ) ) ) ) ) )).
fof(t10_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( v2_tbsp_1(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r1_metric_6(A,B,C) ) ) ) ) )).
fof(t10_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)))) => ( ( v5_topgen_4(B,A) & D = k9_subset_1(u1_struct_0(A),B,C) ) => v5_topgen_4(D,k1_pre_topc(A,C)) ) ) ) ) ) )).
fof(t10_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v2_mfold_0(B,A) & v3_mfold_0(B) & l1_pre_topc(B) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_connsp_2(D,B,C) & r2_borsuk_3(k1_pre_topc(B,D),k1_mfold_1(A,k4_struct_0(k15_euclid(A)),1)) ) ) ) ) ) )).
fof(t10_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_mfold_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => r1_metrizts(k15_euclid(A),k15_euclid(A),B,k2_struct_0(k15_euclid(A))) ) ) )).
fof(t10_mfold_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( v8_pre_topc(A) & r1_mfold_2(A,B) ) => v8_pre_topc(B) ) ) ) )).
fof(t10_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_midsp_1(A,B,B,C,C) ) ) ) )).
fof(t10_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_rlvect_1(A,k3_rlvect_1(A,B,C),k3_rlvect_1(A,D,E)) = k3_rlvect_1(A,k3_rlvect_1(A,B,D),k3_rlvect_1(A,C,E)) ) ) ) ) ) )).
fof(t10_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_midsp_1(C) & l1_midsp_3(C,k1_nat_1(A,2)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(C),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(C))) => ! [F] : ( m1_midsp_3(F,A) => ( F = B => k1_funct_1(k1_midsp_3(u1_struct_0(C),k1_nat_1(A,1),E,B,D),F) = D ) ) ) ) ) ) ) )).
fof(t10_mmlquer2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k1_relat_1(k1_mmlquer2(A,B)) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B)) ) ) )).
fof(t10_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( v7_ordinal1(E) => ( r1_tarski(B,C) => ( E = k5_numbers | r1_tarski(k10_mmlquery(A,B,D,E),k4_mmlquery(A,D,C)) ) ) ) ) ) ) )).
fof(t10_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v2_mod_2(B,A) & v3_mod_2(B,A) & l1_mod_2(B,A) ) => ? [C] : ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) & ? [D] : ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) & v2_mod_2(B,A) & m1_mod_2(B,A,C,D) & B = g1_mod_2(A,C,D,E) & v13_vectsp_1(E,C,D) & v1_mod_2(E,A,C,D) ) ) ) ) ) )).
fof(t10_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( r1_tarski(C,D) => m1_vectsp_4(k1_vectsp_7(A,B,C),A,k1_vectsp_7(A,B,D)) ) ) ) ) ) )).
fof(t10_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => r8_binop_1(u1_struct_0(k2_mod_4(A)),u1_struct_0(k5_mod_4(A,B)),u1_struct_0(k5_mod_4(A,B)),u1_vectsp_1(k2_mod_4(A),k5_mod_4(A,B)),k6_mod_4(A,B,u1_vectsp_2(A,B))) ) ) )).
fof(t10_modal_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & v1_funct_1(A) & v3_trees_2(A) ) => r2_tarski(A,k4_partfun1(k3_finseq_2(k4_ordinal1),k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) )).
fof(t10_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( m4_modcat_1(C,A,k4_modcat_1(A,B)) => ! [D] : ( m4_modcat_1(D,A,k4_modcat_1(A,B)) => ( k2_mod_2(A,C) = k3_mod_2(A,D) => r2_tarski(k8_mod_2(A,C,D),k4_modcat_1(A,B)) ) ) ) ) ) )).
fof(t10_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v2_struct_0(C) & v10_modelc_1(C) & l2_modelc_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k18_modelc_1,u3_modelc_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(C)))) ) => k24_modelc_1(C,D,k13_modelc_1(A,B)) = k28_modelc_1(C,k24_modelc_1(C,D,A),k24_modelc_1(C,D,B)) ) ) ) ) )).
fof(t10_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v3_modelc_2(A) | v6_modelc_2(A) ) => ( k3_finseq_1(A) = k1_nat_1(1,k3_finseq_1(k10_modelc_2(A))) & ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(k10_modelc_2(A))) ) ) ) )).
fof(t10_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(B))) => ( r2_tarski(A,C) => k18_modelc_3(B,k7_subset_1(k13_modelc_2(B),C,k1_tarski(A))) = k6_xcmplx_0(k18_modelc_3(B,C),k3_finseq_1(A)) ) ) ) ) )).
fof(t10_moebius1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( r1_nat_d(k1_newton(B,2),A) => r1_nat_d(B,A) ) ) ) )).
fof(t10_moebius2,axiom,( k10_newton(1) = 3 )).
fof(t10_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v13_monoid_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k6_algstr_0(A,B,D) = C & k6_algstr_0(A,E,B) = C ) ) ) ) ) ) )).
fof(t10_monoid_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v1_setwiseo(C,B) => ( k3_binop_1(k9_funct_2(A,B),k8_monoid_1(B,B,B,C,A)) = k5_monoid_1(B,A,k3_binop_1(B,C)) & v1_setwiseo(k8_monoid_1(B,B,B,C,A),k9_funct_2(A,B)) ) ) ) ) )).
fof(t10_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A,k6_rusub_4(A,B,C),D) = k6_rusub_4(A,B,k6_rusub_4(A,C,D)) ) ) ) ) )).
fof(t10_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k4_dtconstr(k5_msafree(A,B))) => ( r1_lang1(k5_msafree(A,B),k6_msafree(A,B,C),k1_dtconstr(u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),D)) <=> r2_tarski(D,k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k8_msafree(A,B))),C)) ) ) ) ) ) )).
fof(t10_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v6_trees_3(D) ) => ( r2_tarski(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),k2_msualg_1(A,C))) => k3_finseq_1(D) = k3_finseq_1(k1_msualg_1(A,C)) ) ) ) ) ) )).
fof(t10_msafree3,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ! [C] : ( ( r2_hidden(B,u1_struct_0(A)) => k1_funct_1(k2_msafree3(A,k1_trees_4(k4_tarski(C,B))),B) = k1_tarski(C) ) & ! [D] : ( ~ ( D = B & r2_hidden(B,u1_struct_0(A)) ) => k1_funct_1(k2_msafree3(A,k1_trees_4(k4_tarski(C,B))),D) = k1_xboole_0 ) ) ) )).
fof(t10_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [D] : ( r2_tarski(D,k5_trees_9(u1_struct_0(k5_msafree(A,B)),C)) => m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) ) )).
fof(t10_msafree5,axiom,( ! [A] : ( v3_finseq_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k1_card_1(k2_msafree5(A,B)) = k1_card_1(A) ) ) )).
fof(t10_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ~ ( k1_funct_1(C,k1_xboole_0) = k4_tarski(D,u1_struct_0(A)) & ! [E] : ( m1_msaterm(E,A,B,k2_msaterm(A,B,D)) => C != k4_trees_4(k4_tarski(D,u1_struct_0(A)),E) ) ) ) ) ) ) )).
fof(t10_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => k3_finseq_1(k7_graph_2(A,B)) = k1_nat_1(k3_finseq_1(B),1) ) ) )).
fof(t10_mssubfam,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( B = k2_tarski(C,D) => k8_setfam_1(A,B) = k9_subset_1(A,C,D) ) ) ) ) )).
fof(t10_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_unialg_2(A,B) => ! [C] : ( m3_pboole(C,u1_struct_0(k6_msualg_1(B)),u3_msualg_1(k6_msualg_1(B),k9_msualg_1(B))) => ( C = u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A)) => v3_msualg_2(C,k6_msualg_1(B),k9_msualg_1(B)) ) ) ) ) ) )).
fof(t10_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_1(k1_unialg_1(A)),k3_finseq_2(k1_tarski(k5_numbers))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(k1_unialg_1(A)),k3_finseq_2(k1_tarski(k5_numbers))))) ) => ! [C] : ( m1_subset_1(C,k1_tarski(k5_numbers)) => ( B = k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k3_finseq_2(k1_tarski(k5_numbers)),k1_unialg_1(A),k7_finseq_2(k5_numbers)) => k6_msualg_1(A) = g1_msualg_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),B,k8_funcop_1(k1_tarski(k5_numbers),k4_finseq_1(k1_unialg_1(A)),C)) ) ) ) ) )).
fof(t10_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_2(C,A,B) => m3_pboole(k2_msualg_2(A,B),u1_struct_0(A),u3_msualg_1(A,C)) ) ) ) )).
fof(t10_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ( ( r1_msualg_3(A,B,C,E) & r1_msualg_3(A,C,D,F) ) => r1_msualg_3(A,B,D,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),u3_msualg_1(A,D),E,F)) ) ) ) ) ) ) ) )).
fof(t10_msualg_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_msualg_4(C,A,B) & m1_msualg_4(C,A,B,B) ) => ! [D] : ( ( v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) => ! [E] : ( ( v1_msualg_4(E,A,B) & m1_msualg_4(E,A,B,B) ) => ( r8_pboole(A,E,k3_pboole(A,C,D)) => r8_pboole(A,k4_msualg_5(A,B,C,E),C) ) ) ) ) ) ) )).
fof(t10_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_msualg_6(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k3_msualg_1(A,B,D)) => ( v1_funct_1(k4_msualg_6(A,B,C,D,E)) & v1_funct_2(k4_msualg_6(A,B,C,D,E),k1_funct_1(u3_msualg_1(A,D),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),C)),k1_funct_1(u3_msualg_1(A,D),k2_msualg_1(A,B))) & m1_subset_1(k4_msualg_6(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,D),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),C)),k1_funct_1(u3_msualg_1(A,D),k2_msualg_1(A,B))))) ) ) ) ) ) ) ) )).
fof(t10_msualg_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_msualg_5(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,k6_pboole(A,B,B)))) => ( D = C => ( v1_xboole_0(C) | ! [E] : ( ( v1_msualg_4(E,A,B) & m1_msualg_4(E,A,B,B) ) => ! [F] : ( ( v1_msualg_4(F,A,B) & m1_msualg_4(F,A,B,B) ) => ( ( r8_pboole(A,E,k4_mssubfam(A,k6_pboole(A,B,B),k5_closure2(A,k6_pboole(A,B,B),D))) & F = k16_lattice3(k5_msualg_5(A,B),C) ) => r8_pboole(A,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t10_msualg_8,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_msualg_5(C)))) => ( ( r2_tarski(A,C) & r2_tarski(B,C) ) => ( r2_hidden(k4_tarski(A,B),k15_lattice3(k2_msualg_5(C),D)) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & r1_xxreal_0(1,k3_finseq_1(E)) & A = k1_funct_1(E,1) & B = k1_funct_1(E,k3_finseq_1(E)) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(1,F) => ( r1_xxreal_0(k3_finseq_1(E),F) | r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,1))),k3_tarski(D)) ) ) ) ) ) ) ) )).
fof(t10_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,k1_pzfmisc1(A,B),C) => v1_msualg_3(D) ) ) ) )).
fof(t10_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) => k6_msualg_1(A) = k6_msualg_1(B) ) ) ) )).
fof(t10_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v6_dilworth(B,A) & m1_eqrel_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v6_dilworth(k1_mycielsk(u1_struct_0(A),B,C),k5_yellow_0(A,C)) & m1_eqrel_1(k1_mycielsk(u1_struct_0(A),B,C),u1_struct_0(k5_yellow_0(A,C))) ) ) ) ) )).
fof(t10_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_nagata_1(B,A) => k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) = k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B)) ) ) ) )).
fof(t10_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) => ( ( r1_pcomps_1(u1_struct_0(A),B) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_pre_topc(A,C) = a_3_0_nagata_2(A,B,C) ) ) => v3_pcomps_1(A) ) ) ) )).
fof(t10_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(A,B) & ! [C] : ( v7_ordinal1(C) => B != k2_xcmplx_0(A,C) ) ) ) ) )).
fof(t10_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => k2_power(2,B) = k3_xcmplx_0(k2_power(2,A),k2_power(2,k7_nat_d(B,A))) ) ) ) )).
fof(t10_nat_3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k2_nat_3(A,1) = A ) )).
fof(t10_nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k6_nat_d(B,C) = 1 => ( B = k5_numbers | C = k5_numbers | k6_nat_d(k1_newton(B,A),C) = 1 ) ) ) ) ) )).
fof(t10_nat_5,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( ( k2_xboole_0(A,B) = k4_finseq_1(C) & r1_xboole_0(A,B) & r2_relset_1(k4_ordinal1,k1_numbers,D,k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k1_numbers,k14_finseq_1(A),C)) & r2_relset_1(k4_ordinal1,k1_numbers,E,k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k1_numbers,k14_finseq_1(B),C)) ) => k18_rvsum_1(C) = k2_xcmplx_0(k18_rvsum_1(D),k18_rvsum_1(E)) ) ) ) ) )).
fof(t10_nat_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v8_ordinal1(B) & v1_int_1(B) ) => r2_int_1(A,k5_int_1(A,B),B) ) ) )).
fof(t10_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_nat_d(B,C) & r1_nat_d(B,k2_xcmplx_0(C,A)) ) => r1_nat_d(B,A) ) ) ) ) )).
fof(t10_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_nat_lat)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_nat_lat)) => ( k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,B,A),C) & k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,A,C),B) & k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,B),A) & k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,A),B) ) ) ) ) )).
fof(t10_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_cat_1(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( v1_cat_1(B) & m3_cat_2(B,A) ) => ( ( u1_struct_0(B) = u1_struct_0(A) & u4_struct_0(B) = u4_struct_0(A) ) => B = A ) ) ) )).
fof(t10_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m2_finseq_1(C,k4_finseq_2(B,k5_margrel1)) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_nbvectsp(B)))) ) => ( ( k2_relset_1(k4_finseq_2(B,k5_margrel1),C) = D & r1_xxreal_0(A,B) & k3_finseq_1(C) = A & v2_funct_1(C) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k2_finseq_1(B)) & r2_tarski(F,k2_finseq_1(A)) ) => ( ( E = F => k1_funct_1(k1_funct_1(C,E),F) = k7_margrel1 ) & ( E != F => k1_funct_1(k1_funct_1(C,E),F) = k6_margrel1 ) ) ) ) ) ) => v1_vectsp_7(D,k2_bspace,k5_nbvectsp(B)) ) ) ) ) ) )).
fof(t10_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r3_ncfcont1(B,A,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(B),C)) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(G,k1_relset_1(u1_struct_0(B),C)) & ~ r1_xxreal_0(F,k2_normsp_0(B,k5_algstr_0(B,G,D))) & r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,G),k7_partfun1(u1_struct_0(A),C,D)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_ncfcont2,axiom,( ! [A] : ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_clvect_1(D) & v3_clvect_1(D) & v4_clvect_1(D) & v5_clvect_1(D) & v8_clvect_1(D) & l2_clvect_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( r1_ncfcont2(A,C,D,E) => r1_ncfcont2(A,C,D,k2_vfunct_2(u1_struct_0(C),D,E,B)) ) ) ) ) ) )).
fof(t10_ndiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(B),k4_normsp_1(B,k1_ndiff_1(B,C,D),A),k1_ndiff_1(B,k4_normsp_1(B,C,A),D)) ) ) ) ) )).
fof(t10_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v2_ndiff_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k7_partfun1(u1_struct_0(B),D,k4_struct_0(A)) = k4_struct_0(B) => ! [E] : ( ( v1_funct_1(E) & v2_ndiff_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( k7_partfun1(u1_struct_0(C),E,k4_struct_0(B)) = k4_struct_0(C) => ( v1_funct_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E)) & v2_ndiff_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) & m1_subset_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) ) ) ) ) ) ) )).
fof(t10_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r2_ndiff_3(A,C,B) <=> ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => r1_ndiff_3(A,C,D) ) ) ) ) ) ) ) )).
fof(t10_ndiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( r1_ndiff_4(B,C,A) => ( r1_ndiff_4(B,k2_nfcont_4(B,k1_numbers,C),A) & k1_ndiff_4(B,k2_nfcont_4(B,k1_numbers,C),A) = k6_euclid(B,k1_ndiff_4(B,C,A)) ) ) ) ) ) )).
fof(t10_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => u1_struct_0(k14_prvect_2(A)) = k4_card_3(k4_prvect_2(A)) ) )).
fof(t10_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( v7_ordinal1(C) => k3_ndiff_6(A,B,k2_xcmplx_0(C,1)) = k16_lopban_1(A,k3_ndiff_6(A,B,C)) ) ) ) )).
fof(t10_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_mazurulm(C,A,B) & v3_normsp_1(D,A) ) => ( v3_normsp_1(k1_partfun1(k4_ordinal1,u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C),B) & k5_normsp_1(B,k1_partfun1(k4_ordinal1,u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_normsp_1(A,D)) ) ) ) ) ) ) )).
fof(t10_neckla_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( l1_orders_2(B) => ! [C] : ( l1_orders_2(C) => ( r1_xboole_0(u1_struct_0(B),u1_struct_0(C)) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) != k1_neckla_2(B,C) & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) != k2_neckla_2(B,C) ) | ( v4_yellow_0(B,A) & m1_yellow_0(B,A) & v4_yellow_0(C,A) & m1_yellow_0(C,A) ) ) ) ) ) ) )).
fof(t10_necklace,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( ( A = B => C = D ) & ( C = D => A = B ) & k2_funct_1(k4_funct_4(A,B,C,D)) != k4_funct_4(C,D,A,B) ) )).
fof(t10_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => r1_tarski(k3_net_1(A,B),k2_net_1(A)) ) ) )).
fof(t10_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(1,A) = 1 ) )).
fof(t10_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k5_ordinal1,k3_xcmplx_0(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_newton(A,C),k1_newton(B,C)))) ) ) ) )).
fof(t10_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_nfcont_1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_nfcont_1(E,B,k7_partfun1(u1_struct_0(B),C,D)) => ? [F] : ( m1_nfcont_1(F,A,D) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) ) )).
fof(t10_nfcont_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_nfcont_1(D,A) & r3_nfcont_1(A,B,C,D) ) => r1_nfcont_2(D,A,B,C) ) ) ) ) ) )).
fof(t10_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_nfcont_3(A,B,C) <=> ( r2_hidden(C,k1_relset_1(k1_numbers,B)) & ! [D] : ( m1_nfcont_1(D,A,k7_partfun1(u1_struct_0(A),B,C)) => ? [E] : ( m1_rcomp_1(E,C) & r1_tarski(k7_relset_1(k1_numbers,u1_struct_0(A),B,E),D) ) ) ) ) ) ) ) )).
fof(t10_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(k4_real_ns1(A))))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(k4_real_ns1(A))))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( ( C = E & D = F ) => k2_vfunct_1(B,k4_real_ns1(A),C,D) = k8_integr15(A,B,E,F) ) ) ) ) ) ) ) )).
fof(t10_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => ( r1_normform(A,B,C,k1_normform(A,B,C,D)) & r1_normform(A,B,D,k1_normform(A,B,C,D)) ) ) ) ) ) )).
fof(t10_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,B,D)),k2_xcmplx_0(k2_normsp_0(A,k5_algstr_0(A,B,C)),k2_normsp_0(A,k5_algstr_0(A,C,D)))) ) ) ) ) )).
fof(t10_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ( v6_waybel_3(A) => v2_yellow_8(A) ) ) )).
fof(t10_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_normsp_3(A,k9_subset_1(u1_struct_0(A),B,C)),k9_subset_1(u1_struct_0(A),k1_normsp_3(A,B),k1_normsp_3(A,C))) ) ) ) )).
fof(t10_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( m1_subset_1(C,k4_numbers) => ( ( A = k5_int_1(B,C) & r1_int_2(B,C) ) => ( C = k5_numbers | r1_int_2(A,C) ) ) ) ) ) )).
fof(t10_numbers,axiom,( r2_xboole_0(k4_ordinal1,k2_numbers) )).
fof(t10_numeral1,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_nat_d(5,A) <=> r1_nat_d(5,k1_recdef_1(k2_numeral1(A,10),k5_numbers)) ) ) )).
fof(t10_numeral2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) & v1_valued_0(A) ) => ! [B] : ! [C] : ( r1_xboole_0(B,C) => k7_afinsq_2(k5_afinsq_2(A,k2_xboole_0(B,C))) = k2_xcmplx_0(k7_afinsq_2(k5_afinsq_2(A,B)),k7_afinsq_2(k5_afinsq_2(A,C))) ) ) )).
fof(t10_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_numpoly1(k2_xcmplx_0(A,1)) = k2_xcmplx_0(k1_numpoly1(A),k2_xcmplx_0(A,1)) ) )).
fof(t10_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_o_ring_1(B,A) => ( ( ~ v3_o_ring_1(C,A) & ~ v5_o_ring_1(C,A) & ~ v7_o_ring_1(C,A) & ~ v9_o_ring_1(C,A) & ~ v11_o_ring_1(C,A) & ~ v13_o_ring_1(C,A) ) | v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) ) )).
fof(t10_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,k7_openlatt(A)) <=> ( B != u1_struct_0(A) & v2_filter_0(B,A) ) ) ) ) )).
fof(t10_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v2_necklace(A) => v3_necklace(A) ) ) )).
fof(t10_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,A,B,C) => ( k3_graph_1(k2_oppcat_1(A),k7_oppcat_1(A,B,C,D)) = k4_graph_1(A,D) & k4_graph_1(k2_oppcat_1(A),k7_oppcat_1(A,B,C,D)) = k3_graph_1(A,D) ) ) ) ) ) ) )).
fof(t10_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_ordeq_01(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_ordeq_01(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_ordeq_01(A,B))) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_nfcont_3(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( F = C & G = D & H = E & k1_relset_1(k1_numbers,F) = A & k1_relset_1(k1_numbers,G) = A & k1_relset_1(k1_numbers,H) = A ) => ( E = k3_rlvect_1(k2_ordeq_01(A,B),C,D) <=> ! [I] : ( m2_subset_1(I,k1_numbers,A) => k7_partfun1(u1_struct_0(B),H,I) = k3_rlvect_1(B,k7_partfun1(u1_struct_0(B),F,I),k7_partfun1(u1_struct_0(B),G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_ordeq_02,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(1))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(1))) => ( ( D = k9_finseq_1(A) & E = k9_finseq_1(B) & F = k9_finseq_1(C) ) => ( ( r2_hidden(C,k1_rcomp_1(A,B)) => r2_tarski(F,k1_rltopsp1(k4_real_ns1(1),D,E)) ) & ( r2_tarski(F,k1_rltopsp1(k4_real_ns1(1),D,E)) => ( ( r1_xxreal_0(A,B) => r2_hidden(C,k1_rcomp_1(A,B)) ) & ( r1_xxreal_0(B,A) => r2_hidden(C,k1_rcomp_1(B,A)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( ( r8_relat_2(C,A) & r1_tarski(B,A) ) => r8_relat_2(C,B) ) ) )).
fof(t10_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,B) => ( v6_orders_2(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t10_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ! [B] : ( m1_orders_3(B,A) => ! [C] : ( m1_orders_3(C,A) => r1_tarski(k1_orders_3(B,C),k1_ens_1(k2_orders_3(A))) ) ) ) )).
fof(t10_ordinal1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_ordinal1(C) => ( ( r2_tarski(A,B) & r2_tarski(B,C) ) => r2_tarski(A,C) ) ) )).
fof(t10_ordinal2,axiom,( ! [A] : r1_tarski(k3_ordinal1(A),A) )).
fof(t10_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => k2_ordinal2(k1_tarski(A)) = A ) )).
fof(t10_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( ( v2_ordinal2(A) & r2_tarski(B,k9_xtuple_0(A)) ) => r1_ordinal1(B,k1_funct_1(A,B)) ) ) ) )).
fof(t10_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( r2_tarski(1,A) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k12_ordinal2(A,C) ) ) ) => v2_ordinal2(B) ) ) ) )).
fof(t10_ordinal6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) ) => k10_xtuple_0(k1_ordinal4(A,B)) = k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) )).
fof(t10_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ~ ( k3_rlvect_1(A,k1_group_1(A),k1_group_1(A)) != k4_struct_0(A) & ~ ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => C = k4_struct_0(B) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_orders_2(B,C,C) ) ) ) ) )).
fof(t10_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( r2_tarski(E,k1_funct_1(B,C)) => ( m1_dtconstr(k1_trees_4(k4_tarski(E,C)),u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & ! [F] : k4_tarski(F,u1_struct_0(A)) != k1_funct_1(k1_trees_4(k4_tarski(E,C)),k1_xboole_0) & ( r2_tarski(k1_trees_4(k4_tarski(E,C)),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),D)) => r3_orders_2(A,C,D) ) & ( r3_orders_2(A,C,D) => r2_tarski(k1_trees_4(k4_tarski(E,C)),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),D)) ) ) ) ) ) ) ) )).
fof(t10_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( ( v8_osalg_1(A) & k1_msualg_1(A,B) = k1_xboole_0 & r1_osalg_1(A,B,C) & k1_msualg_1(A,C) = k1_xboole_0 ) => B = C ) ) ) ) )).
fof(t10_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),k3_osalg_2(A,B)) ) ) )).
fof(t10_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & v12_osalg_1(D,A) & l3_msualg_1(D,A) ) => ( ( r3_osalg_3(A,B,C) & r3_osalg_3(A,C,D) ) => r3_osalg_3(A,B,D) ) ) ) ) ) )).
fof(t10_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_orders_2(A,D,E) => r1_tarski(k6_osalg_4(A,B,C,D),k6_osalg_4(A,B,C,E)) ) ) ) ) ) ) )).
fof(t10_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( v1_xreal_0(G) => ( ( k5_algstr_0(A,B,C) = k1_rlvect_1(A,k5_algstr_0(A,E,B),G) & r1_geomtrap(A,B,D,B,F) & r1_geomtrap(A,C,D,E,F) ) => ( G = k5_numbers | r1_geomtrap(A,B,C,B,D) | ( F = k3_rlvect_1(A,E,k1_rlvect_1(A,k5_algstr_0(A,D,C),k5_xcmplx_0(k4_xcmplx_0(G)))) & F = k3_rlvect_1(A,B,k1_rlvect_1(A,k5_algstr_0(A,D,B),k5_xcmplx_0(k4_xcmplx_0(G)))) & k5_algstr_0(A,D,C) = k1_rlvect_1(A,k5_algstr_0(A,F,E),k4_xcmplx_0(G)) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => u1_struct_0(k9_parsp_1(A)) = k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)) ) )).
fof(t10_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_parsp_2(A,B,C,D) => ( r1_parsp_2(A,B,D,C) & r1_parsp_2(A,D,C,B) & r1_parsp_2(A,C,B,D) & r1_parsp_2(A,C,D,B) & r1_parsp_2(A,D,B,C) ) ) ) ) ) ) )).
fof(t10_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k5_relset_1(A,B,D,C)) & m1_subset_1(k5_relset_1(A,B,D,C),k1_zfmisc_1(k2_zfmisc_1(C,B))) ) ) )).
fof(t10_partfun2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( ( v2_funct_1(E) & r2_tarski(A,k1_relset_1(C,E)) & r2_tarski(B,k1_relset_1(C,E)) & k7_partfun1(D,E,A) = k7_partfun1(D,E,B) ) => A = B ) ) ) ) )).
fof(t10_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_partit1(A,B,C) => ( C = A | r1_partit1(A,B,k3_subset_1(A,C)) ) ) ) ) ) )).
fof(t10_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_relset_1(A,A,k4_relset_1(A,A,A,A,B,C),k4_relset_1(A,A,A,A,C,B)) => ( v1_partfun1(k4_relset_1(A,A,A,A,B,C),A) & v3_relat_2(k4_relset_1(A,A,A,A,B,C)) & v8_relat_2(k4_relset_1(A,A,A,A,B,C)) & m1_subset_1(k4_relset_1(A,A,A,A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) ) ) )).
fof(t10_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_diraf(A,B,C,D,E) & r2_diraf(A,B,C,F,G) & r1_diraf(A,B,D,F) & r3_diraf(A,C,E,G) ) => ( r3_diraf(A,B,D,C) | r1_diraf(A,C,E,G) ) ) ) ) ) ) ) ) ) )).
fof(t10_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r1_pboole(A,B,C) & r1_pboole(A,B,D) ) => r4_pboole(A,C,D) ) ) ) ) )).
fof(t10_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_finset_1(B) => v1_pcomps_1(B,A) ) ) ) )).
fof(t10_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_pcs_0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_pcs_0(A,B))) => ( r1_orders_2(k17_pcs_0(A,B),C,D) <=> ? [E] : ? [F] : ( l2_pcs_0(F) & ? [G] : ( m1_subset_1(G,u1_struct_0(F)) & ? [H] : ( m1_subset_1(H,u1_struct_0(F)) & r2_hidden(E,A) & F = k1_funct_1(B,E) & G = C & H = D & r1_orders_2(F,G,H) ) ) ) ) ) ) ) )).
fof(t10_pdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(1))))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) => ! [D] : ( v1_xreal_0(D) => ( ( A = k2_pdiff_1(B) & C = k9_finseq_1(D) & r1_ndiff_1(k4_real_ns1(1),k4_real_ns1(1),A,C) ) => k1_funct_1(k3_ndiff_1(k4_real_ns1(1),k4_real_ns1(1),A,C),k12_finseq_1(k4_ordinal1,1)) = k9_finseq_1(k1_fdiff_1(B,D)) ) ) ) ) ) )).
fof(t10_pdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r3_pdiff_1(2,2,A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & B = k10_finseq_1(C,D) & ? [E] : ( m1_rcomp_1(E,D) & r1_tarski(E,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,A,B))) & ? [F] : ( v1_funct_1(F) & v3_fdiff_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [G] : ( v1_funct_1(G) & v2_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,E) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,2,A,B),H),k1_funct_1(k1_pdiff_2(2,2,A,B),D)) = k2_xcmplx_0(k1_funct_1(F,k6_xcmplx_0(H,D)),k1_funct_1(G,k6_xcmplx_0(H,D))) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r2_pdiff_3(B,A) <=> r3_pdiff_1(2,2,k1_pdiff_3(1,2,B),A) ) ) ) )).
fof(t10_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ~ ( D = k11_finseq_1(A,B,C) & r3_pdiff_1(3,1,E,D) & ! [F] : ( m1_rcomp_1(F,A) => ~ ( r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,E,D))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,E,D),I),k1_funct_1(k1_pdiff_2(3,1,E,D),A)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,A)),k1_funct_1(H,k6_xcmplx_0(I,A))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r1_pdiff_5(E,D) ) => k1_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,1,k1_pdiff_3(1,3,E),D),A) ) ) ) ) ) ) )).
fof(t10_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r1_pdiff_1(A,B,C,D) => m1_subset_1(k8_pdiff_1(A,B,C,D),u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) ) ) ) ) ) )).
fof(t10_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => k1_funct_7(k5_euclid(A),D,k3_xcmplx_0(C,B)) = k10_rvsum_1(k1_funct_7(k5_euclid(A),D,B),C) ) ) ) ) ) )).
fof(t10_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(D,A),k7_euclid(A,B,C)) = k3_real_1(k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(D,A),B),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(D,A),C)) ) ) ) ) )).
fof(t10_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ( B = C => ( v1_pdiff_7(B,A) <=> v3_nfcont_1(C,k4_real_ns1(A)) ) ) ) ) ) )).
fof(t10_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ! [D] : v16_pencil_1(k1_funct_7(k1_pzfmisc1(A,B),C,D),A) ) ) )).
fof(t10_pencil_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_pencil_1(B,A) & v2_pencil_1(B,A) ) => r1_pencil_2(A,B,B) ) ) ) )).
fof(t10_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & v14_pencil_1(B) ) => ! [C] : ( ( ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) ) => ( m1_pencil_2(k4_card_3(C),A,B) => k1_funct_1(C,k3_pencil_1(A,C)) = k2_struct_0(k1_pencil_1(A,B,k3_pencil_1(A,C))) ) ) ) ) )).
fof(t10_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k1_vectsp_9(A,B),C) & v1_xboole_0(k4_pencil_4(A,B,C)) ) ) ) ) )).
fof(t10_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => k5_int_1(k2_xcmplx_0(k3_xcmplx_0(B,A),1),A) = k4_nat_d(1,A) ) ) )).
fof(t10_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => k7_petri(A,k1_subset_1(u1_struct_0(A))) = k1_xboole_0 ) )).
fof(t10_petri_df,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_petri(B) & v3_petri(B) & v1_net_1(B) & v3_petri_df(B) & l1_petri(B) ) => ! [C] : ( ( v2_petri_df(C,B) & m2_finseq_1(C,k2_net_1(B)) ) => ( r2_tarski(k1_funct_1(C,A),k2_petri_df(B,C)) => ( r1_xxreal_0(A,1) | r1_xxreal_0(k3_finseq_1(C),A) | ( r2_hidden(k4_tarski(k1_funct_1(C,k6_xcmplx_0(A,2)),k1_funct_1(C,k6_xcmplx_0(A,1))),u1_petri(B)) & r2_hidden(k4_tarski(k1_funct_1(C,k6_xcmplx_0(A,1)),k1_funct_1(C,A)),u2_petri(B)) & r2_hidden(k4_tarski(k1_funct_1(C,A),k1_funct_1(C,k1_nat_1(A,1))),u1_petri(B)) & r2_hidden(k4_tarski(k1_funct_1(C,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,2))),u2_petri(B)) & r1_xxreal_0(3,A) ) ) ) ) ) ) )).
fof(t10_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( r2_pnproc_1(A,B,C) & r2_pnproc_1(A,C,B) ) => r1_pnproc_1(A,B,C) ) ) ) )).
fof(t10_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_algstr_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k4_polynom5(A,k11_polynom3(A,C,D),B),k11_polynom3(A,k4_polynom5(A,C,B),D)) ) ) ) ) )).
fof(t10_polyeq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A != k5_numbers => ! [B] : ( v1_xcmplx_0(B) => k2_polyeq_1(k5_numbers,k5_numbers,A,B) != k5_numbers ) ) ) )).
fof(t10_polyeq_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ( ! [K] : ( v1_xreal_0(K) => k1_polyeq_2(A,B,C,D,E,K) = k2_polyeq_2(A,G,H,I,J,K) ) => ( A = k5_numbers | k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_newton(F,4)),k3_xcmplx_0(B,k1_newton(F,3))),k3_xcmplx_0(C,k1_square_1(F))),k3_xcmplx_0(D,F)),E),A) = k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_square_1(F),k1_square_1(F)),k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(G,H),I),k3_xcmplx_0(k1_square_1(F),F))),k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(G,I),k3_xcmplx_0(H,I)),k3_xcmplx_0(G,H)),k1_square_1(F))),k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G,H),I),F)),k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(F,G),k6_xcmplx_0(F,H)),k6_xcmplx_0(F,I)),J)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xcmplx_0(D) => ~ ( A != k5_numbers & r1_xxreal_0(k5_numbers,k1_quin_1(A,B,C)) & k4_polyeq_1(A,B,C,k5_numbers,D) = k5_numbers & D != k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) & D != k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) & D != k4_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(2,A))) & D != k5_numbers ) ) ) ) ) )).
fof(t10_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( B != k5_numbers & ~ r1_xxreal_0(k5_numbers,k7_xcmplx_0(C,B)) & v1_abian(D) & r1_xxreal_0(1,D) & k2_polyeq_1(B,C,k5_numbers,k1_newton(A,D)) = k5_numbers & A != k5_numbers & A != k1_power(D,k4_xcmplx_0(k7_xcmplx_0(C,B))) & A != k4_xcmplx_0(k1_power(D,k4_xcmplx_0(k7_xcmplx_0(C,B)))) ) ) ) ) ) )).
fof(t10_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k1_newton(B,2) = A <=> ( B = k1_polyeq_5(2,A) | B = k4_xcmplx_0(k1_polyeq_5(2,A)) ) ) ) ) )).
fof(t10_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => k9_fvsum_1(A,k8_finseq_1(u1_struct_0(A),C,D),B) = k8_finseq_1(u1_struct_0(A),k9_fvsum_1(A,C,B),k9_fvsum_1(A,D,B)) ) ) ) ) )).
fof(t10_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k6_polynom3(1,A) = k2_matrlin(k4_ordinal1,k13_matrix_0(k4_ordinal1,A)) ) )).
fof(t10_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k8_group_1(A,k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)),k8_nat_1(u1_struct_0(A),C,k7_nat_d(k1_algseq_1(A,C),1))) != k4_struct_0(A) => k1_algseq_1(A,k11_polynom3(A,B,C)) = k6_xcmplx_0(k1_nat_1(k1_algseq_1(A,B),k1_algseq_1(A,C)),1) ) ) ) ) )).
fof(t10_polynom5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => k2_polynom5(k2_polynom3(u1_struct_0(k1_complfld),A,B)) = k10_finseq_1(k9_complex1(A),k9_complex1(B)) ) ) )).
fof(t10_polynom6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k10_ordinal2(A,B)) & v1_funct_1(C) & v1_partfun1(C,k10_ordinal2(A,B)) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( m2_subset_1(D,k14_pre_poly(A),k15_pre_poly(A)) => ! [E] : ( m2_subset_1(E,k14_pre_poly(B),k15_pre_poly(B)) => ~ ( r3_pre_poly(k10_ordinal2(A,B),C,k1_polynom6(A,B,D,E)) & ! [F] : ( m2_subset_1(F,k14_pre_poly(A),k15_pre_poly(A)) => ! [G] : ( m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) => ~ ( r3_pre_poly(A,F,D) & r3_pre_poly(B,G,E) & r6_pboole(k10_ordinal2(A,B),C,k1_polynom6(A,B,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(t10_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( ~ v9_struct_0(C,B) & m1_subset_1(C,u1_struct_0(B)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => k2_polynom7(A,B,k1_polynom7(A,B,C,D)) = D ) ) ) )).
fof(t10_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k4_polynom5(A,k4_polynom5(A,D,C),B),k4_polynom5(A,D,k6_algstr_0(A,B,C))) ) ) ) ) )).
fof(t10_polyred,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_polynom1(A,B,k5_polynom7(A,B,C,D),k5_polynom7(A,B,C,E)),k5_polynom7(A,B,C,k1_algstr_0(B,D,E))) ) ) ) ) )).
fof(t10_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v2_poset_1(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_yellow_2(u1_struct_0(A),A,B,C) => r3_orders_2(A,k3_poset_1(A,B),k3_poset_1(A,C)) ) ) ) ) )).
fof(t10_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & v1_poset_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & v1_poset_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_yellow_0(A)) = k3_yellow_0(B) => v2_poset_1(C,A,B) ) ) ) ) )).
fof(t10_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ~ v1_abian(B) => k1_power(B,A) = k4_xcmplx_0(k1_power(B,k4_xcmplx_0(A))) ) ) ) )).
fof(t10_pralg_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( A != k1_xboole_0 => ( ~ v2_struct_0(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v1_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v2_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v3_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v4_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & l1_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) ) ) ) )).
fof(t10_pralg_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k9_xtuple_0(k2_pralg_2(k12_pralg_2(A,B,C,D)))) => ( k9_xtuple_0(E) = A & ! [F] : ( m1_subset_1(F,A) => r2_tarski(k1_funct_1(E,F),k3_msualg_1(B,D,k5_pralg_2(A,B,C,F))) ) & r1_tarski(k10_xtuple_0(E),k9_funct_2(k9_xtuple_0(k1_msualg_1(B,D)),k7_pralg_2(A,B,C))) ) ) ) ) ) ) ) )).
fof(t10_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( k1_msualg_1(B,D) = k1_xboole_0 & k9_xtuple_0(E) = A & ! [F] : ( m1_subset_1(F,A) => k1_funct_1(E,F) = k1_pralg_3(B,k5_pralg_2(A,B,C,F),D) ) ) => E = k1_pralg_3(B,k14_pralg_2(A,B,C),D) ) ) ) ) ) ) )).
fof(t10_pre_circ,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ! [C] : ( m1_trees_1(C,A) => k5_trees_1(A,C,B) = k2_xboole_0(a_2_1_pre_circ(A,C),a_3_0_pre_circ(A,B,C)) ) ) ) )).
fof(t10_pre_ff,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,C) => ( r1_xxreal_0(A,1) | r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(k3_power(A,B),k3_power(A,C)) ) ) ) ) ) )).
fof(t10_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r3_orders_1(C,B) => v2_funct_1(k7_pre_poly(A,B,C)) ) ) ) )).
fof(t10_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( l1_pre_topc(C) => ! [D] : ( l1_pre_topc(D) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(D),u1_pre_topc(D)) & m1_pre_topc(C,A) ) => m1_pre_topc(D,B) ) ) ) ) ) )).
fof(t10_prefer_1,axiom,( ! [A] : ! [B] : ( A != B <=> r1_subset_1(k1_tarski(k4_tarski(A,B)),k2_tarski(k4_tarski(A,A),k4_tarski(B,B))) ) )).
fof(t10_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( m1_prelamb(B,A) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ~ ( k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = 7 & ! [D] : ( m1_trees_1(D,k9_xtuple_0(B)) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(B)) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ! [H] : ( m2_finseq_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( D = k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)) & E = k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,1)) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = k6_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),G,F),H),J) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,D)) = k6_prelamb(A,F,I) & k1_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,E)) = k6_prelamb(A,k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),G,k12_finseq_1(u1_struct_0(A),I)),H),J) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_newton(B,C),k1_newton(A,C)) ) ) ) ) )).
fof(t10_prgcor_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_xxreal_0(k5_numbers,A) => ( r1_xxreal_0(B,k5_numbers) | k1_prgcor_1(A,B) = k4_int_1(A,B) ) ) ) ) )).
fof(t10_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_tarski(k2_tarski(k1_xboole_0,A),B) & r1_tarski(B,k9_setfam_1(A)) ) ) )).
fof(t10_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( m2_prob_1(C,A,B) <=> ( ! [D] : ( m1_prob_1(D,A,B) => r1_xxreal_0(k5_numbers,k3_funct_2(B,k1_numbers,C,D)) ) & k1_funct_1(C,A) = 1 & ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ( r1_xboole_0(D,E) => k3_funct_2(B,k1_numbers,C,k6_prob_1(A,B,D,E)) = k3_real_1(k3_funct_2(B,k1_numbers,C,D),k3_funct_2(B,k1_numbers,C,E)) ) ) ) & ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(D) => ( v2_comseq_2(k8_prob_1(A,B,D,C)) & k1_seq_2(k8_prob_1(A,B,D,C)) = k1_funct_1(C,k1_prob_1(A,D)) ) ) ) ) ) ) ) ) )).
fof(t10_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => v2_prob_1(k1_prob_3(A,B)) ) )).
fof(t10_prob_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k6_numbers,A,B) & v1_seq_2(A) ) => k1_rinfsup1(A) = k1_xxreal_2(k2_relset_1(k6_numbers,B)) ) ) ) )).
fof(t10_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k6_cqc_lang(A,k9_cqc_lang(A,B,C)),k6_cqc_lang(A,B)),k4_cqc_the1(A)) ) ) ) )).
fof(t10_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_collsp(A,E,F,G) & r1_projdes1(A,B,C,D,E) & r1_projdes1(A,B,C,D,F) ) => ( E = F | r1_projdes1(A,B,C,D,G) ) ) ) ) ) ) ) ) ) )).
fof(t10_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ~ ( v1_projpl_1(A) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),E) & B != C & ~ r1_incsp_1(A,D,E) & r4_projpl_1(A,B,C,D) ) ) ) ) ) ) )).
fof(t10_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ~ ( r1_incsp_1(A,E,F) & r1_incsp_1(A,E,G) & F != G & r1_incsp_1(A,B,F) & E != B & r1_incsp_1(A,C,G) & r1_incsp_1(A,D,G) & C != D & r1_incsp_1(A,B,H) & r1_incsp_1(A,C,H) & r1_incsp_1(A,D,I) & H = I ) ) ) ) ) ) ) ) ) ) )).
fof(t10_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ( ~ r1_incsp_1(A,B,C) => k1_projred1(A,C,C,B) = k6_partfun1(k1_projred2(A,C)) ) ) ) ) )).
fof(t10_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(k4_prvect_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_prvect_2(A,B))) => ( ( D = C & E = k1_funct_1(D,B) ) => r1_xxreal_0(k2_normsp_0(k11_prvect_2(A,B),E),k2_normsp_0(k14_prvect_2(A),C)) ) ) ) ) ) ) )).
fof(t10_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_prvect_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( C = k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,E) => k4_algstr_0(k5_prvect_3(A,B),C) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_algstr_0(A,D),k4_algstr_0(B,E)) ) ) ) ) ) ) )).
fof(t10_pscomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( v1_pscomp_1(C,B) => v1_pscomp_1(k9_valued_1(u1_struct_0(B),k1_numbers,C,A),B) ) ) ) ) )).
fof(t10_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_int_2(A,B) & v1_abian(A) & v1_abian(B) ) ) ) )).
fof(t10_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r6_pboole(A,k2_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)),k2_pzfmisc1(A,B,C)) ) ) )).
fof(t10_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => r1_xxreal_0(1,k3_finseq_1(k11_qc_lang1(A,B))) ) ) )).
fof(t10_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k3_qc_lang2(A,B,C) = k3_qc_lang2(A,D,E) => ( B = D & C = E ) ) ) ) ) ) ) )).
fof(t10_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k24_qc_lang1(A,k14_qc_lang1(A,B,C)) = k4_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,B),k24_qc_lang1(A,C)) ) ) ) )).
fof(t10_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r2_tarski(C,k10_xtuple_0(k2_qc_lang4(A,B))) <=> r2_qc_lang2(A,C,B) ) ) ) ) )).
fof(t10_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( ( v1_qc_trans(C,A) & m1_qc_lang1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(C))) => ( r1_tarski(B,D) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_valuat_1(F,C,E) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(C),E,k2_valuat_1(C,E)) => ~ ( r6_calcul_1(C,D,E,F,G) & ! [H] : ( ~ v1_xboole_0(H) => ! [I] : ( m1_valuat_1(I,A,H) => ! [J] : ( m2_funct_2(J,k3_qc_lang1(A),H,k2_valuat_1(A,H)) => ~ r6_calcul_1(A,B,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_qmax_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k5_qmax_1(A))) => ( ( r2_tarski(B,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) & r2_tarski(C,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) ) => ! [D] : ( m1_subset_1(D,k5_qmax_1(A)) => ! [E] : ( m1_subset_1(E,k5_qmax_1(A)) => ! [F] : ( m1_subset_1(F,k5_qmax_1(A)) => ! [G] : ( m1_subset_1(G,k5_qmax_1(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,B) & r2_tarski(F,C) & r2_tarski(G,C) & r3_qmax_1(A,D,F) ) => r3_qmax_1(A,E,G) ) ) ) ) ) ) ) ) ) )).
fof(t10_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v14_quantal1(B,A) => ( v15_quantal1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,C)) = k15_lattice3(A,a_3_5_quantal1(A,B,C)) ) ) ) ) ) )).
fof(t10_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ~ ( A != k5_numbers & r1_xxreal_0(k27_quaterni(A),k5_numbers) ) ) )).
fof(t10_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => ( ( k13_quaterni(A) = k5_numbers & k14_quaterni(A) = k5_numbers & k15_quaterni(A) = k5_numbers ) => A = k12_quaterni(A) ) ) )).
fof(t10_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ r2_tarski(k10_funct_4(k5_numbers,1,2,3,A,B,C,D),k2_numbers) ) ) ) ) )).
fof(t10_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C)) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k1_quin_1(A,B,C),k5_numbers) ) ) ) ) ) )).
fof(t10_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => ! [C] : ( m2_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_quofield(A)) => k9_quofield(A,k10_quofield(A,B),k10_quofield(A,C)) = k10_quofield(A,k5_quofield(A,B,C)) ) ) ) )).
fof(t10_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => r1_tarski(k2_radix_1(A),k2_radix_1(k2_xcmplx_0(A,1))) ) )).
fof(t10_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k1_nat_1(B,1)) & m2_finseq_1(C,k3_radix_1(A)) ) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k3_radix_1(A)) ) => ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(B)) => k1_funct_1(C,E) = k1_funct_1(D,E) ) ) => k2_xcmplx_0(k8_radix_1(B,A,D),k3_xcmplx_0(k1_newton(k1_radix_1(A),B),k4_radix_1(k1_nat_1(B,1),A,k1_nat_1(B,1),C))) = k8_radix_1(k1_nat_1(B,1),A,C) ) ) ) ) ) )).
fof(t10_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => r1_tarski(k1_radix_3(A),k4_numbers) ) )).
fof(t10_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k11_radix_1(k1_radix_1(A)) = 1 ) ) )).
fof(t10_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) ) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ~ r1_xxreal_0(k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,k6_radix_5(k2_xcmplx_0(A,2),A,B))),k8_radix_1(k2_xcmplx_0(A,2),B,k4_radix_6(A,B,C))) ) ) ) ) )).
fof(t10_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_finset_1(B) => ~ ( r1_xxreal_0(A,k4_card_1(B)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => k4_card_1(C) != A ) ) ) ) )).
fof(t10_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_finseq_1(D,k6_numbers) => ! [E] : ( m2_finseq_1(E,A) => ( ( k3_finseq_1(D) = k4_card_1(A) & v2_funct_1(E) & k2_relset_1(A,E) = A & k3_finseq_1(E) = k4_card_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => k12_supinf_2(D,F) = k4_xxreal_3(k12_supinf_2(C,k1_funct_1(E,F)),k12_supinf_2(B,k1_tarski(k1_funct_1(E,F)))) ) ) ) => ( r1_xxreal_0(k1_xxreal_0,k12_supinf_2(B,A)) | k1_mesfunc6(A,k1_random_1(A),B,C) = k4_extreal1(D) ) ) ) ) ) ) ) )).
fof(t10_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( m2_finseq_1(D,A) => ( ( v2_funct_1(D) & k2_relset_1(A,D) = C ) => k5_bhsp_5(k1_numbers,A,k9_binop_2,C,B) = k18_rvsum_1(k4_bhsp_5(k1_numbers,A,B,D)) ) ) ) ) ) )).
fof(t10_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & v1_random_3(E,A,B,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(B),D) => ( F != k1_xboole_0 => a_6_0_random_3(A,B,C,D,E,F) = k8_relset_1(A,B,E,F) ) ) ) ) ) ) ) )).
fof(t10_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(k1_ranknull(A,B,C,D),E) <=> k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k4_struct_0(C) ) ) ) ) ) ) )).
fof(t10_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ~ r1_xxreal_0(k1_rat_1(A),k5_numbers) ) )).
fof(t10_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_hurwitz(A,k12_polynom3(A,B,C),k3_hurwitz(A,D,1)) & ~ r1_hurwitz(A,B,k3_hurwitz(A,D,1)) & ~ r1_hurwitz(A,C,k3_hurwitz(A,D,1)) ) ) ) ) ) )).
fof(t10_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_rcomp_1(A) => v5_xxreal_2(A) ) ) )).
fof(t10_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => k2_seq_4(k10_prob_1(A)) = A ) )).
fof(t10_real_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) <=> ( k9_xtuple_0(A) = k4_ordinal1 & ! [B] : ( r2_hidden(B,k4_ordinal1) => v7_ordinal1(k1_funct_1(A,B)) ) ) ) ) )).
fof(t10_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k4_real_lat(A),k1_funcsdom(A,k1_numbers,k4_real_lat(A),B,C),D),k1_funcsdom(A,k1_numbers,k4_real_lat(A),B,k1_funcsdom(A,k1_numbers,k4_real_lat(A),C,D))) ) ) ) ) )).
fof(t10_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( m1_subset_1(k4_binop_1(u1_struct_0(A),u1_algstr_0(A),B,C),u1_struct_0(A)) & m1_subset_1(k4_binop_1(u1_struct_0(A),k4_realset2(A),B,C),u1_struct_0(A)) & m1_subset_1(k3_funct_2(u1_struct_0(A),u1_struct_0(A),k4_vectsp_1(A),B),u1_struct_0(A)) ) ) ) ) )).
fof(t10_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k4_realset2(A),k4_binop_1(u1_struct_0(A),k1_realset3(A),B,C),D) = k4_binop_1(u1_struct_0(A),k1_realset3(A),k4_binop_1(u1_struct_0(A),k4_realset2(A),B,D),k4_binop_1(u1_struct_0(A),k4_realset2(A),C,D)) ) ) ) ) )).
fof(t10_rearran1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_rearran1(C) & v2_rearran1(C) & m2_finseq_1(C,k1_zfmisc_1(B)) ) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k6_xcmplx_0(k3_finseq_1(C),1)) & ! [D] : ( m1_subset_1(D,B) => ~ ( k6_subset_1(k1_funct_1(C,k1_nat_1(A,1)),k1_funct_1(C,A)) = k1_tarski(D) & k1_funct_1(C,k1_nat_1(A,1)) = k2_xboole_0(k1_funct_1(C,A),k1_tarski(D)) & k6_subset_1(k1_funct_1(C,k1_nat_1(A,1)),k1_tarski(D)) = k1_funct_1(C,A) ) ) ) ) ) ) )).
fof(t10_recdef_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( k4_xtuple_0(A) = k4_xtuple_0(B) & k5_xtuple_0(A) = k5_xtuple_0(B) & k2_xtuple_0(A) = k2_xtuple_0(B) & r2_tarski(B,k3_zfmisc_1(C,D,E)) & r2_tarski(A,k3_zfmisc_1(C,D,E)) ) => A = B ) )).
fof(t10_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( v1_relat_1(E) => ( E = k2_tarski(k4_tarski(A,B),k4_tarski(C,D)) => ( k9_xtuple_0(E) = k2_tarski(A,C) & k10_xtuple_0(E) = k2_tarski(B,D) ) ) ) )).
fof(t10_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ! [D] : ~ ( r2_hidden(D,B) & ! [E] : ~ r2_hidden(k4_tarski(E,D),C) ) <=> k2_relset_1(B,C) = B ) ) )).
fof(t10_relset_2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k9_relat_1(k2_xboole_0(B,C),A) = k2_xboole_0(k9_relat_1(B,A),k9_relat_1(C,A)) ) ) )).
fof(t10_revrot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ( ( r2_tarski(C,k10_xtuple_0(D)) & r1_xxreal_0(k4_finseq_4(D,C),A) & r1_xxreal_0(A,k3_finseq_1(D)) ) => k7_partfun1(B,D,A) = k7_partfun1(B,k1_finseq_6(B,D,C),k7_nat_d(k1_nat_1(A,1),k4_finseq_4(D,C))) ) ) ) ) ) )).
fof(t10_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_tarski(A,B) => ! [C] : ( m1_rewrite1(C,A) => m1_rewrite1(C,B) ) ) ) ) )).
fof(t10_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( r1_rewrite2(A,B,C,D) => r2_rewrite2(A,B,C,D) ) ) ) ) )).
fof(t10_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( D = k1_flang_1(A,B,C) => ( B = k2_flang_1(A) | C = k2_flang_1(A) | ( ~ r1_xxreal_0(k1_afinsq_1(D),k1_afinsq_1(B)) & ~ r1_xxreal_0(k1_afinsq_1(D),k1_afinsq_1(C)) ) ) ) ) ) ) ) )).
fof(t10_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( ( k3_finseq_1(A) = k1_nat_1(C,2) & k1_funct_1(A,k1_nat_1(C,1)) = B ) => k3_rfinseq(k17_finseq_1(k1_numbers,k1_nat_1(C,1),A)) = k7_finseq_1(k17_finseq_1(k1_numbers,C,k3_rfinseq(A)),k9_finseq_1(B)) ) ) ) ) )).
fof(t10_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & ~ ( k4_rfinseq2(k10_rvsum_1(A,B)) = k3_xcmplx_0(B,k4_rfinseq2(A)) & k2_rfinseq2(k10_rvsum_1(A,B)) = k2_rfinseq2(A) ) ) ) ) )).
fof(t10_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k18_valued_1(k1_valued_1(A,B),C) = k1_valued_1(k18_valued_1(A,C),k18_valued_1(B,C)) ) ) ) )).
fof(t10_rfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( r1_tarski(k2_relset_1(A,C),k1_relset_1(A,B)) => ( r2_relset_1(k4_ordinal1,k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,C,B)),k8_funct_2(k4_ordinal1,k1_numbers,A,C,k56_valued_1(A,k1_numbers,B))) & r2_relset_1(k4_ordinal1,k1_numbers,k32_valued_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,C,B)),k8_funct_2(k4_ordinal1,k1_numbers,A,C,k32_valued_1(A,k1_numbers,B))) ) ) ) ) ) )).
fof(t10_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(k5_numbers,C) => k8_relset_1(A,k1_numbers,k56_valued_1(A,k1_numbers,B),k1_tarski(C)) = k1_xboole_0 ) ) ) ) )).
fof(t10_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ! [C] : ( ( r1_rfunct_4(A,B) & r1_tarski(C,B) ) => r1_rfunct_4(A,C) ) ) )).
fof(t10_rinfsup1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(A,k1_funct_1(B,C)) ) <=> ( v2_seq_2(B) & r1_xxreal_0(A,k2_rinfsup1(B)) ) ) ) ) )).
fof(t10_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_funct_2(k4_ordinal1,k6_numbers,k4_ordinal1,k1_numbers,A,B) & v1_comseq_2(B) ) => ( r1_funct_2(k4_ordinal1,k6_numbers,k4_ordinal1,k1_numbers,k3_rinfsup2(A),k3_rinfsup1(B)) & k6_rinfsup2(A) = k6_rinfsup1(B) ) ) ) ) )).
fof(t10_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k8_eqrel_1(u1_struct_0(A),k1_ring_1(A,k6_domain_1(u1_struct_0(A),k4_struct_0(A)))) = k10_xtuple_0(k11_setwiseo(u1_struct_0(A))) ) )).
fof(t10_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_struct_0(A)) = k4_struct_0(B) <=> r2_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_struct_0(A,B,k4_struct_0(B))) ) ) ) ) )).
fof(t10_ringcat1,axiom,( ! [A] : ( ( v2_ringcat1(A) & v3_ringcat1(A) & l1_ringcat1(A) ) => ! [B] : ( ( v2_ringcat1(B) & v3_ringcat1(B) & l1_ringcat1(B) ) => ! [C] : ( ( v2_ringcat1(C) & v3_ringcat1(C) & l1_ringcat1(C) ) => ( ( k1_ringcat1(C) = k2_ringcat1(B) & k1_ringcat1(B) = k2_ringcat1(A) ) => k6_ringcat1(C,k6_ringcat1(B,A)) = k6_ringcat1(k6_ringcat1(C,B),A) ) ) ) ) )).
fof(t10_rlaffin1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => k1_convex1(C,D,k3_xcmplx_0(A,B)) = k1_convex1(C,k1_convex1(C,D,B),A) ) ) ) ) )).
fof(t10_rlaffin2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r2_tarski(A,k1_rlaffin2(B,C)) & ! [D] : ( m2_rlvect_2(D,B,C) => ~ ( v2_convex1(D,B) & A = k6_rlvect_2(B,D) ) ) ) ) ) )).
fof(t10_rlaffin3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(B)))) ) => ! [E] : k7_relset_1(C,u1_struct_0(B),k4_vfunct_1(C,B,D,A),E) = k1_convex1(B,k7_relset_1(C,u1_struct_0(B),D,E),A) ) ) ) ) )).
fof(t10_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(t10_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( k1_rlsub_2(A,k1_rlsub_1(A),k2_rlsub_1(A)) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) & k1_rlsub_2(A,k2_rlsub_1(A),k1_rlsub_1(A)) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) ) )).
fof(t10_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k6_rusub_4(A,B,D),k6_rusub_4(A,C,D)) ) ) ) ) ) )).
fof(t10_rlvect_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( ( A = k5_numbers | C = k4_struct_0(B) ) => k1_rlvect_1(B,C,A) = k4_struct_0(B) ) ) ) ) )).
fof(t10_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != C => k2_rlvect_2(A,k7_domain_1(u1_struct_0(A),B,C)) = k3_rlvect_1(A,B,C) ) ) ) ) )).
fof(t10_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) => ( B != k4_struct_0(A) & C != k4_struct_0(A) ) ) ) ) ) )).
fof(t10_rlvect_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(A,k3_rlsub_1(B,C,k1_rlvect_3(B,k6_domain_1(u1_struct_0(B),D)))) <=> ? [E] : ( v1_xreal_0(E) & A = k3_rlvect_1(B,C,k1_rlvect_1(B,D,E)) ) ) ) ) ) )).
fof(t10_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ( r1_tarski(k3_rlvect_2(A,C),u1_struct_0(B)) => ! [D] : ( m1_rlvect_2(D,B) => ( D = k2_partfun1(u1_struct_0(A),k1_numbers,C,u1_struct_0(B)) => ( k3_rlvect_2(A,C) = k3_rlvect_2(B,D) & k6_rlvect_2(A,C) = k6_rlvect_2(B,D) ) ) ) ) ) ) ) )).
fof(t10_rlvect_x,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(C,k2_rlvect_x(B,D)) => r2_tarski(k1_rlvect_1(B,C,A),k2_rlvect_x(B,D)) ) ) ) ) ) )).
fof(t10_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => m1_subset_1(D,u1_struct_0(B)) ) ) ) ) )).
fof(t10_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_vectsp_2(B,A) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ( k1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)) = B & k1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) = B ) ) ) )).
fof(t10_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_rmod_4(A,B,k4_subset_1(u1_struct_0(B),D,C)) = k5_algstr_0(B,k3_rlvect_1(B,k1_rmod_4(A,B,D),k1_rmod_4(A,B,C)),k1_rmod_4(A,B,k9_subset_1(u1_struct_0(B),D,C))) ) ) ) ) )).
fof(t10_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_robbins1(A,B) = k3_robbins1(A,C) => B = C ) ) ) ) )).
fof(t10_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,B,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,C,D)),k3_robbins1(A,k1_lattices(A,C,B)))))) = k3_robbins1(A,k1_lattices(A,C,B)) ) ) ) ) )).
fof(t10_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & v6_lattices(A) ) => v6_lattices(B) ) ) ) )).
fof(t10_robbins4,axiom,( r1_tarski(u1_struct_0(k2_robbins4),k1_zfmisc_1(3)) )).
fof(t10_rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(k2_rcomp_1(A,B),k1_relset_1(k1_numbers,C)) & r2_fdiff_1(C,k2_rcomp_1(A,B)) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,k2_rcomp_1(A,B)) & r1_xxreal_0(k5_numbers,k1_fdiff_1(C,D)) ) ) ) => v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(A,B))) ) ) ) ) )).
fof(t10_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ~ ( r2_tarski(C,k4_roughs_1(A,B)) & r1_xboole_0(k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),C),B) ) ) ) )).
fof(t10_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_yellow_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A,B) = k2_struct_0(A) ) ) )).
fof(t10_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) <=> k4_roughs_1(A,B) = B ) ) ) )).
fof(t10_rpr_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ~ ( B != k1_xboole_0 & ! [C] : ( ( v3_card_1(C,1) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ~ r1_tarski(C,B) ) ) ) ) )).
fof(t10_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k4_struct_0(k5_rsspace4(A,B)) = k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) ) ) )).
fof(t10_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( E = D & F = C ) => k5_algstr_0(B,E,F) = k5_algstr_0(A,D,C) ) ) ) ) ) ) ) )).
fof(t10_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( k1_rusub_2(A,k1_rusub_1(A),k2_rusub_1(A)) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) & k1_rusub_2(A,k2_rusub_1(A),k1_rusub_1(A)) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) ) ) )).
fof(t10_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => m1_rusub_1(k1_rusub_3(A,k9_subset_1(u1_struct_0(A),B,C)),k2_rusub_2(A,k1_rusub_3(A,B),k1_rusub_3(A,C))) ) ) ) )).
fof(t10_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => k1_rusub_4(A) = k1_rusub_4(k2_rusub_1(A)) ) )).
fof(t10_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r1_tarski(k7_rusub_4(A,B,k6_domain_1(u1_struct_0(A),D)),k7_rusub_4(A,B,C)) ) ) ) ) ) )).
fof(t10_rvsum_1,axiom,( r7_binop_1(k1_numbers,k7_binop_2,k9_binop_2) )).
fof(t10_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k5_rvsum_2(k3_rvsum_2(A,B)) = k3_rvsum_2(k5_rvsum_2(A),k5_rvsum_2(B)) ) ) )).
fof(t10_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ~ r1_xxreal_0(k3_funct_1(A),k5_numbers) ) )).
fof(t10_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B)) = C & k3_compos_1(k1_ami_3,A,C) = k8_ami_3(F,E) ) => ( ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B),E) = k5_numbers => k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1))) = F ) & ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B),E) != k5_numbers => k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1))) = k1_nat_1(C,1) ) & ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_ami_3)) ) => k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1)),G) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B),G) ) ) ) ) ) ) ) ) ) )).
fof(t10_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => k17_scm_comp(k2_scm_comp(A,B,C)) = k5_nat_1(k17_scm_comp(B),k17_scm_comp(C)) ) ) ) )).
fof(t10_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),A) & r1_tarski(C,B) & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,E)) ) ) ) ) ) ) ) )).
fof(t10_scm_inst,axiom,( ! [A] : ( m1_subset_1(A,k3_scm_inst) => r1_xxreal_0(k5_compos_0(k3_scm_inst,A),8) ) )).
fof(t10_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ! [C] : ( m1_scmfsa_2(C) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(B,k10_xtuple_0(A)) => ( ( B != k14_scmfsa_2(E,D,C) & B != k15_scmfsa_2(E,D,C) ) | r2_tarski(C,k6_sf_mastr(A)) ) ) ) ) ) ) ) )).
fof(t10_scmfsa10,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k2_compos_0(k6_scmfsa_2(A,B)) = k1_xboole_0 ) ) )).
fof(t10_scmfsa6c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(k1_scmfsa6b(k1_scmfsa6c(C,D),A,B),C) = k1_funct_1(A,D) & k1_funct_1(k1_scmfsa6b(k1_scmfsa6c(C,D),A,B),D) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(t10_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ~ ( A != B & A != C & r3_scmfsa7b(k10_scmfsa_2(B,C),A) ) ) ) ) )).
fof(t10_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_scmfsa7b(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => v1_scmfsa7b(k6_compos_1(k1_scmfsa_2,A,B)) ) ) )).
fof(t10_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_scmfsa6c(C) & v4_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( m1_scmfsa_2(E) => k18_scmfsa_2(k1_scmfsa6b(k3_scmfsa6a(C,D),B,A),E) = k18_scmfsa_2(k1_scmfsa6b(D,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa_m(B)),A),E) ) ) ) ) ) )).
fof(t10_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => k6_sf_mastr(k2_scmfsa8b(A,B,C)) = k4_subset_1(k3_scmfsa_2,k6_sf_mastr(B),k6_sf_mastr(C)) ) ) ) )).
fof(t10_scmfsa_1,axiom,( ! [A] : ( m2_subset_1(A,k1_scmfsa_1,k2_scmfsa_1) => k1_funct_1(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1),A) = k4_numbers ) )).
fof(t10_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) ) )).
fof(t10_scmfsa_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ( ( k3_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)) = k10_scmfsa_2(H,I) & r2_tarski(I,k9_xtuple_0(B)) ) => k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),H),k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),I)) = k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),H),k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_scmfsa_m,axiom,( r2_tarski(k4_scmfsa_2(k5_numbers),k9_xtuple_0(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))) )).
fof(t10_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ( k1_funct_1(k3_scmfsa_x(A,B),k5_numbers) = k12_scmfsa_2(3,A) & k1_funct_1(k3_scmfsa_x(A,B),1) = k11_scmfsa_2(2) & k1_funct_1(k4_scmfsa_x(A,B),k5_numbers) = k13_scmfsa_2(3,A) & k1_funct_1(k4_scmfsa_x(A,B),1) = k11_scmfsa_2(2) ) ) ) )).
fof(t10_scmp_gcd,axiom,( k1_funct_1(k4_scmp_gcd,k5_numbers) = k5_scmpds_2(k2_scmp_gcd,k5_numbers) & k1_funct_1(k4_scmp_gcd,1) = k5_scmpds_2(k3_scmp_gcd,7) & k1_funct_1(k4_scmp_gcd,2) = k6_scmpds_2(k3_scmp_gcd,k15_scmpds_i) & k1_funct_1(k4_scmp_gcd,3) = k3_scmpds_2(2) & k1_funct_1(k4_scmp_gcd,4) = k2_compos_1(k1_scmpds_2) & k1_funct_1(k4_scmp_gcd,5) = k8_scmpds_2(k3_scmp_gcd,3,9) & k1_funct_1(k4_scmp_gcd,6) = k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,6,3) & k1_funct_1(k4_scmp_gcd,7) = k15_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,2,3) & k1_funct_1(k4_scmp_gcd,8) = k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,7,3) & k1_funct_1(k4_scmp_gcd,9) = k16_scmpds_2(k3_scmp_gcd,k2_scmp_gcd,k1_nat_1(4,k14_scmpds_i),1) & k1_funct_1(k4_scmp_gcd,10) = k11_scmpds_2(k2_scmp_gcd,1,4) & k1_funct_1(k4_scmp_gcd,11) = k6_scmpds_2(k3_scmp_gcd,k15_scmpds_i) & k1_funct_1(k4_scmp_gcd,12) = k3_scmpds_2(k4_xcmplx_0(7)) & k1_funct_1(k4_scmp_gcd,13) = k16_scmpds_2(k3_scmp_gcd,k3_scmp_gcd,2,6) & k1_funct_1(k4_scmp_gcd,14) = k4_scmpds_2(k3_scmp_gcd) )).
fof(t10_scmpds_2,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k1_ami_2,k2_ami_2) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( r2_tarski(A,k3_enumset1(4,5,6,7,8)) => r2_hidden(k3_xtuple_0(A,k1_xboole_0,k11_finseq_1(B,C,D)),k1_scmpds_i) ) ) ) ) )).
fof(t10_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,A),1) = k17_scmpds_2(A,1) ) )).
fof(t10_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => k4_scmpds_4(A,B) = k2_scmpds_4(A,k9_compos_1(k1_scmpds_2,B)) ) ) )).
fof(t10_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( r1_scmpds_6(D,C,A) & r2_scmpds_6(D,C,A) & r1_tarski(k10_compos_1(k1_scmpds_2,D),A) & r1_tarski(k10_compos_1(k1_scmpds_2,D),B) ) => ( k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,C) = k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,C) & k6_extpro_1(k5_card_1(2),k1_scmpds_2,A,C) = k6_extpro_1(k5_card_1(2),k1_scmpds_2,B,C) ) ) ) ) ) ) )).
fof(t10_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F))) => k6_scmpds_4(k1_scmpds_8(D,F,C),B,A) = k1_funct_4(B,k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k4_card_1(C),2))) ) ) ) ) ) ) ) )).
fof(t10_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,C,k12_scmpds_2(A,B,D,E)) = k1_tarski(k1_nat_1(C,1)) ) ) ) ) ) )).
fof(t10_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(k4_scmring1(A,B,C,D),k4_ordinal1) = k1_funct_1(B,k4_ordinal1) ) ) ) ) )).
fof(t10_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmring2(A))) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmring2(A))) => ! [D] : ( m1_subset_1(D,k1_scmringi(A)) => ( D = C => ! [E] : ( m1_subset_1(E,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => ( E = B => k2_extpro_1(k5_card_1(2),k1_scmring2(A),C,B) = k7_scmring1(A,D,E) ) ) ) ) ) ) ) )).
fof(t10_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => k5_compos_0(u1_compos_1(k1_scmring2(A)),k8_scmring2(A,B)) = 6 ) ) )).
fof(t10_scmring4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(B))) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmring2(B))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmring2(B))) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(E,u1_struct_0(k1_scmring2(B))) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmring2(B))) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(F,u1_struct_0(k1_scmring2(B))) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmring2(B))) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmring2(B))) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmring2(B))) & v1_funct_1(I) & v1_finset_1(I) & ~ v2_compos_1(I,k1_scmring2(B)) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmring2(B))) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & ~ v1_xboole_0(J) & v1_finset_1(J) & v4_extpro_1(J,k5_card_1(2),k1_scmring2(B),I) ) => ( ( r1_tarski(J,E) & r1_tarski(J,F) & r1_tarski(I,G) & r1_tarski(I,H) & k3_extpro_1(k5_card_1(2),k1_scmring2(B),G,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,E,A)) = k6_scmring2(B,C,D) & r2_tarski(C,k9_xtuple_0(J)) ) => k6_algstr_0(B,k2_scmring2(B,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,E,A),C),k2_scmring2(B,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,E,A),D)) = k6_algstr_0(B,k2_scmring2(B,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,F,A),C),k2_scmring2(B,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,F,A),D)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( v7_ordinal1(B) => r2_hidden(k3_xtuple_0(6,k9_finseq_1(B),k1_xboole_0),k1_scmringi(A)) ) ) )).
fof(t10_scmyciel,axiom,( ! [A] : k1_card_1(a_1_0_scmyciel(A)) = k1_card_1(A) )).
fof(t10_scpinvar,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_hidden(k5_numbers,k9_xtuple_0(k3_scpinvar(A,B,C))) & r2_hidden(1,k9_xtuple_0(k3_scpinvar(A,B,C))) ) ) ) ) )).
fof(t10_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v4_scmpds_4(D) & v1_scmpds_5(D) & m1_subset_1(D,u1_compos_1(k1_scmpds_2)) ) => ( ( r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( r1_scmpds_6(k3_scmpds_4(C,D),B,A) & r2_scmpds_6(k3_scmpds_4(C,D),B,A) ) ) ) ) ) ) )).
fof(t10_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(2)) = C & r1_xxreal_0(k1_nat_1(D,1),C) & r1_xxreal_0(7,D) ) => ( r1_scmpds_6(k1_scpqsort,B,A) & r2_scmpds_6(k1_scpqsort,B,A) ) ) ) ) ) ) )).
fof(t10_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ r2_analoaf(A,B,C,D,E) => ( B != C & D != E ) ) ) ) ) ) ) )).
fof(t10_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,A,k32_valued_1(k4_ordinal1,k1_numbers,B)) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,A,C) = k1_real_1(k8_nat_1(k1_numbers,B,C)) ) ) ) ) )).
fof(t10_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) => k1_seq_2(k32_valued_1(k4_ordinal1,k1_numbers,A)) = k4_xcmplx_0(k1_seq_2(A)) ) ) )).
fof(t10_seq_4,axiom,( ! [A] : ( v1_xreal_0(A) => k3_seq_4(k1_seq_4(A)) = k2_seq_4(k1_seq_4(A)) ) )).
fof(t10_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k2_seqfunc(A,D,k3_xcmplx_0(C,B)),k2_seqfunc(A,k2_seqfunc(A,D,B),C)) ) ) ) ) )).
fof(t10_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v6_valued_0(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,B)) ) ) ) ) )).
fof(t10_series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_series_1(B) => ( v1_series_1(k26_valued_1(k4_ordinal1,k1_numbers,B,A)) & k4_series_1(k26_valued_1(k4_ordinal1,k1_numbers,B,A)) = k3_xcmplx_0(A,k4_series_1(B)) ) ) ) ) )).
fof(t10_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2))) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(2,k1_nat_1(B,1)),k1_nat_1(B,2)))) ) ) ) )).
fof(t10_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,B),k3_xcmplx_0(B,C)),k3_xcmplx_0(A,C)),k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C))) ) ) ) )).
fof(t10_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k1_newton(B,D) ) => ( B = 1 | k8_nat_1(k1_numbers,k3_series_1(C),A) = k7_xcmplx_0(k6_xcmplx_0(1,k1_newton(B,k1_nat_1(A,1))),k6_xcmplx_0(1,B)) ) ) ) ) ) )).
fof(t10_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => r1_xxreal_0(k7_xcmplx_0(2,k2_xcmplx_0(k7_xcmplx_0(1,A),k7_xcmplx_0(1,B))),k7_xcmplx_0(k2_xcmplx_0(A,B),2)) ) ) )).
fof(t10_setfam_1,axiom,( ! [A] : k1_setfam_1(k1_tarski(A)) = A )).
fof(t10_setlim_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = B ) => k1_kurato_0(A,C) = B ) ) ) )).
fof(t10_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r1_tarski(k7_subset_1(A,k1_prob_1(A,B),k1_prob_1(A,C)),k1_prob_1(A,k3_setlim_2(A,B,C))) ) ) )).
fof(t10_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,C) => r2_tarski(k3_funct_2(A,B,E,F),D) ) ) => r1_tarski(k7_relset_1(A,B,E,C),D) ) ) ) ) ) )).
fof(t10_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(D,B) & v2_binop_1(D,B) & v1_setwiseo(D,B) ) => k4_binop_1(B,D,k7_setwiseo(A,B,D,C,E),k7_setwiseo(A,B,D,C,F)) = k7_setwiseo(A,B,D,C,k6_funcop_1(B,A,D,E,F)) ) ) ) ) ) ) ) )).
fof(t10_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( m1_scmfsa_2(E) => ! [F] : ( m1_scmfsa_2(F) => ( k15_scmfsa_2(C,A,E) = k15_scmfsa_2(D,B,F) => ( A = B & C = D & E = F ) ) ) ) ) ) ) ) )).
fof(t10_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v1_scmfsa7b(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( ( v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) | r5_scmfsa7b(C,k1_scmfsa_m(B),A) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(k1_scmfsa6b(C,B,A))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(C,B,A)) ) ) ) ) )).
fof(t10_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) ) => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) )).
fof(t10_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,E,A),k5_numbers),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) )).
fof(t10_sgraph1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(k2_tarski(B,C),k2_sgraph1(A)) => ( r2_tarski(B,A) & r2_tarski(C,A) & B != C ) ) )).
fof(t10_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => v8_lattices(A) ) )).
fof(t10_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,B)),B),B)) = k5_sheffer1(A,C,B) ) ) ) )).
fof(t10_simplex0,axiom,( ! [A] : ( ( v6_ordinal1(A) & v1_finset_1(A) ) => ( v1_setfam_1(A) => r1_ordinal1(k4_card_1(A),k1_card_1(k3_tarski(A))) ) ) )).
fof(t10_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ! [C] : ( m1_simplex1(C,A,B) => k3_simplex1(A,B) = k3_simplex1(A,C) ) ) ) )).
fof(t10_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_simplex2(A,k5_simplex0(u1_struct_0(A),k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),B))) = k2_tbsp_1(A,B) ) ) )).
fof(t10_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k8_nat_1(k2_numbers,k3_sin_cos(B),k5_numbers) = 1 & k8_nat_1(k2_numbers,k8_sin_cos(k5_numbers,B,A),k5_numbers) = 1 ) ) ) )).
fof(t10_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k16_sin_cos,A) = k1_funct_1(k16_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A)) ) ) )).
fof(t10_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_partfun1(k2_numbers,k4_sin_cos3,A) = k7_partfun1(k2_numbers,k4_sin_cos3,k4_xcmplx_0(A)) ) )).
fof(t10_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k17_sin_cos(A) != k5_numbers & k17_sin_cos(B) != k5_numbers & k2_sin_cos4(k6_xcmplx_0(A,B)) != k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_sin_cos4(A),k2_sin_cos4(B)),1),k6_xcmplx_0(k2_sin_cos4(B),k2_sin_cos4(A))) ) ) ) )).
fof(t10_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ( k17_sin_cos(A) != k5_numbers => k2_sin_cos4(k3_xcmplx_0(2,A)) = k7_xcmplx_0(k6_xcmplx_0(k1_square_1(k2_sin_cos4(A)),1),k3_xcmplx_0(2,k2_sin_cos4(A))) ) ) )).
fof(t10_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => k1_funct_1(k18_sin_cos,A) = k1_funct_1(k18_sin_cos,k2_xcmplx_0(A,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) ) ) )).
fof(t10_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(A,1),2)),k3_square_1(k7_xcmplx_0(k6_xcmplx_0(A,1),2))),k5_numbers) ) ) )).
fof(t10_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( A != k5_numbers => ( k2_xcmplx_0(k1_sin_cos5(A),k6_sin_cos2(B)) = k7_xcmplx_0(k4_sin_cos2(k2_xcmplx_0(A,B)),k3_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(B))) & k6_xcmplx_0(k1_sin_cos5(A),k6_sin_cos2(B)) = k7_xcmplx_0(k4_sin_cos2(k6_xcmplx_0(A,B)),k3_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(B))) ) ) ) ) )).
fof(t10_sin_cos9,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(t10_sincos10,axiom,( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(t10_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => r1_sppol_1(A,B,k6_domain_1(u1_struct_0(k15_euclid(A)),B)) ) ) )).
fof(t10_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,k10_xtuple_0(A)) => k2_topreal1(2,k2_finseq_5(u1_struct_0(k15_euclid(2)),A,B),k1_nat_1(C,1)) = k2_topreal1(2,A,k1_nat_1(C,k4_finseq_4(A,B))) ) ) ) ) )).
fof(t10_sprect_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( r1_tarski(A,B) & v2_sppol_1(B) ) => v2_sppol_1(A) ) ) ) )).
fof(t10_sprect_2,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,A) & k18_euclid(B) = k7_pscomp_1(A) ) => r2_tarski(B,k15_pscomp_1(A)) ) ) ) )).
fof(t10_sprect_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v2_sppol_1(k1_rltopsp1(k15_euclid(2),A,B)) & v1_sppol_1(k1_rltopsp1(k15_euclid(2),B,C)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,B),k1_rltopsp1(k15_euclid(2),B,C)) = k1_tarski(B) ) ) ) ) )).
fof(t10_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k10_xtuple_0(A)) & r2_tarski(C,k10_xtuple_0(A)) & r2_tarski(D,k10_xtuple_0(A)) & ~ r1_xxreal_0(k4_finseq_4(A,C),k4_finseq_4(A,B)) & ~ r1_xxreal_0(k4_finseq_4(A,D),k4_finseq_4(A,C)) & r1_xxreal_0(k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)),A,C),B),k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)),A,C),D)) ) ) ) ) ) )).
fof(t10_square_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k6_xcmplx_0(k1_square_1(A),k1_square_1(B)) != k5_numbers => k7_xcmplx_0(1,k2_xcmplx_0(A,B)) = k7_xcmplx_0(k6_xcmplx_0(A,B),k6_xcmplx_0(k1_square_1(A),k1_square_1(B))) ) ) ) )).
fof(t10_srings_1,axiom,( ! [A] : ! [B] : ( ( v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v3_finsub_1(a_2_1_srings_1(A,B)) ) )).
fof(t10_srings_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( A = a_0_1_srings_2 => ( v2_finsub_1(A) & v2_srings_1(A,k1_numbers) & ~ v1_setfam_1(A) & v4_srings_1(A,k1_numbers) ) ) ) )).
fof(t10_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( k9_stacks_1(A,B) = k1_xboole_0 => r1_stacks_1(A,B) ) ) ) )).
fof(t10_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(A,k5_card_1(B)) => ( r1_xxreal_0(A,k6_xcmplx_0(B,1)) & m1_subset_1(k6_xcmplx_0(B,1),k4_ordinal1) ) ) ) ) )).
fof(t10_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k4_subset_1(A,B,k3_subset_1(A,B)) = k2_subset_1(A) ) )).
fof(t10_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( v1_finset_1(D) => ~ ( r2_tarski(D,C) & ! [E] : ~ ( r1_tarski(E,D) & r2_tarski(E,k3_substlat(A,B,C)) ) ) ) ) )).
fof(t10_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => B = k1_domain_1(k9_qc_lang1(A),k1_substut1(A),k18_substut1(A,B),k19_substut1(A,B)) ) ) )).
fof(t10_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ( ( k19_substut1(A,E) = k14_sublemma(A,k3_qc_lang1(A),k2_substut1(A,k7_substut1(A,C,k11_cqc_lang(A,C,B),D)),k12_sublemma(A,k3_qc_lang1(A),C,k35_substut1(A,k1_substut2(A,k11_cqc_lang(A,C,B),D)))) & k2_sublemma(A,E) = B ) => ( v3_substut1(k7_sublemma(A,E,C),A) & ? [F] : ( m2_subset_1(F,k16_substut1(A),k38_substut1(A)) & F = k1_substut2(A,k11_cqc_lang(A,C,B),D) ) ) ) ) ) ) ) ) )).
fof(t10_supinf_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ( ( v4_xxreal_2(A) & v4_xxreal_2(B) ) => r1_xxreal_0(k8_supinf_2(k5_supinf_2(A,B)),k3_supinf_2(k8_supinf_2(A),k8_supinf_2(B))) ) ) ) )).
fof(t10_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( k3_rlvect_1(A,k1_group_1(A),k1_group_1(A)) != k4_struct_0(A) & C != k4_struct_0(B) & D != k4_struct_0(B) & E != k4_struct_0(B) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,F,C) & ~ r1_orders_2(B,F,D) & ~ r1_orders_2(B,F,E) ) ) ) ) ) ) ) ) )).
fof(t10_sysrel,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( ( r1_xboole_0(A,B) & r1_tarski(C,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) ) => r1_tarski(k5_relat_1(C,A),k2_zfmisc_1(A,B)) ) ) )).
fof(t10_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A))))) & v3_tops_2(C,k3_t_0topsp(B),k3_t_0topsp(A)) & r2_classes1(k4_t_0topsp(A),k1_partfun1(u1_struct_0(B),u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(B),C)) ) => r1_t_0topsp(A,B) ) ) ) )).
fof(t10_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r1_relset_1(A,A,B,C) => r1_relset_1(A,A,k13_lang1(A,B),k13_lang1(A,C)) ) ) ) ) )).
fof(t10_taxonom2,axiom,( ! [A] : v4_taxonom2(k1_tarski(A)) )).
fof(t10_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( k6_prepower(k1_funct_1(k22_sin_cos,1),A) = k1_funct_1(k22_sin_cos,A) & k2_power(k1_funct_1(k22_sin_cos,1),A) = k1_funct_1(k22_sin_cos,A) & k2_power(k4_power,A) = k1_funct_1(k22_sin_cos,A) & k6_prepower(k4_power,A) = k1_funct_1(k22_sin_cos,A) ) ) )).
fof(t10_taylor_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => r1_taylor_1(k22_sin_cos,B,A) ) ) )).
fof(t10_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ ( B != k1_xboole_0 & v6_tbsp_1(B,A) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r2_tarski(D,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,B) => r1_xxreal_0(k1_metric_1(A,D,E),C) ) ) ) ) ) ) & ( ( v8_metric_1(A) & v9_metric_1(A) ) => ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,B) => r1_xxreal_0(k1_metric_1(A,D,E),C) ) ) ) ) ) | v6_tbsp_1(B,A) ) ) ) ) ) )).
fof(t10_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_tdgroup(A,B,C,D,E) ) ) ) ) ) )).
fof(t10_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),B,k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,C)),C)))),k4_subset_1(u1_struct_0(A),B,k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,C)),C))) = k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))),k4_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t10_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k1_pcomps_1(A,k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)),k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_pcomps_1(A,B),k1_pcomps_1(A,C))) ) ) ) )).
fof(t10_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v1_tdlat_3(A) & v2_tdlat_3(A) ) => k9_setfam_1(u1_struct_0(A)) = k2_tarski(k1_xboole_0,u1_struct_0(A)) ) ) )).
fof(t10_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r3_pre_poly(A,C,D) => r1_termord(A,B,C,D) ) ) ) ) ) )).
fof(t10_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( B != u1_struct_0(A) => k1_tops_1(A,B) = k1_xboole_0 ) & ( B = u1_struct_0(A) => k1_tops_1(A,B) = u1_struct_0(A) ) ) ) ) )).
fof(t10_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ~ ( u1_struct_0(B) = u1_struct_0(A) & v1_tex_2(B,A) ) ) ) )).
fof(t10_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_tops_1(B,A) & ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & v1_tex_3(C,A) & m1_pre_topc(C,A) ) => B != u1_struct_0(C) ) ) ) ) )).
fof(t10_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_tex_4(k1_tex_4(A,B),A) ) ) )).
fof(t10_tietze,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( r1_seqfunc(A,k1_numbers,C,B) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ! [E] : ( ( v2_xxreal_0(E) & v1_xreal_0(E) ) => ( ! [F] : ( v7_ordinal1(F) => r1_tietze(k47_valued_1(A,k1_numbers,k1_numbers,k1_seqfunc(A,k1_numbers,C,F),k1_seqfunc(A,k1_numbers,C,k1_nat_1(F,1))),k3_xcmplx_0(D,k2_power(E,F)),B) ) => ( r1_xxreal_0(1,E) | ! [F] : ( m1_subset_1(F,B) => ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(k1_seqfunc(A,k1_numbers,C,k5_numbers),F),k7_xcmplx_0(D,k6_xcmplx_0(1,E))),k1_funct_1(k11_seqfunc(A,C,B),F)) & r1_xxreal_0(k1_funct_1(k11_seqfunc(A,C,B),F),k2_xcmplx_0(k1_funct_1(k1_seqfunc(A,k1_numbers,C,k5_numbers),F),k7_xcmplx_0(D,k6_xcmplx_0(1,E)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( m1_pre_topc(B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & E = D ) ) ) ) ) ) )).
fof(t10_toler_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v3_relat_2(D) => v3_relat_2(k1_toler_1(D,C)) ) ) )).
fof(t10_topalg_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,1) ) => r1_xxreal_0(k12_euclid(k9_euclid(B,C,A)),k12_euclid(C)) ) ) ) ) )).
fof(t10_topalg_2,axiom,( v2_topalg_2(k5_topmetr) )).
fof(t10_topalg_3,axiom,( ! [A] : ( m1_pre_topc(A,k15_euclid(2)) => ( ( v1_topreal2(u1_struct_0(A)) & m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v1_borsuk_2(A) ) ) )).
fof(t10_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))) & v5_pre_topc(D,C,k2_borsuk_1(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_borsuk_1(A,B))))) ) => v5_pre_topc(k4_topalg_4(A,B,C,D),C,B) ) ) ) ) )).
fof(t10_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_tops_2(E,A,B) & r3_connsp_1(B,D,C) ) => r3_connsp_1(A,k8_relset_1(u1_struct_0(A),u1_struct_0(B),E,D),k8_relset_1(u1_struct_0(A),u1_struct_0(B),E,C)) ) ) ) ) ) ) )).
fof(t10_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_xxreal_0(2,C) & D = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_tarski(B)) & r1_mfold_2(k15_euclid(C),A) ) => v1_borsuk_2(k1_pre_topc(A,D)) ) ) ) ) ) )).
fof(t10_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) ) => ! [B] : ( ( v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => ! [E] : ( m1_borsuk_2(E,A,B,B) => ! [F] : ( m1_borsuk_2(F,A,B,B) => ! [G] : ( m1_borsuk_6(G,A,B,B,C,D) => ! [H] : ( m1_borsuk_6(H,A,B,B,E,F) => ( ( r3_borsuk_2(A,B,B,C,D) & r3_borsuk_2(A,B,B,E,F) ) => m1_borsuk_6(k11_topalg_7(A,G,H),A,B,B,k5_topalg_7(A,B,C,E),k5_topalg_7(A,B,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t10_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( k3_topdim_1(A,B) = k4_xcmplx_0(1) & v2_topdim_1(B,A) ) <=> r1_tarski(B,k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k1_struct_0(A))) ) ) ) )).
fof(t10_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => k2_tops_1(k2_borsuk_1(A,B),k3_borsuk_1(A,B,C,D)) = k4_subset_1(u1_struct_0(k2_borsuk_1(A,B)),k3_borsuk_1(A,B,k2_tops_1(A,C),k2_pre_topc(B,D)),k3_borsuk_1(A,B,k2_pre_topc(A,C),k2_tops_1(B,D))) ) ) ) ) )).
fof(t10_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_tops_1(A,B)) <=> ! [D] : ( ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) => ( ~ r1_xboole_0(B,E) & k7_subset_1(u1_struct_0(A),E,B) != k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(t10_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ? [D] : ( v1_tops_2(D,A) & v1_yellow_8(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ~ ( r2_tarski(E,D) & r1_xboole_0(E,B) ) ) ) ) ) ) )).
fof(t10_topgen_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( u1_struct_0(A) = u1_struct_0(B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k1_tops_1(A,C) = k1_tops_1(B,D) ) ) ) ) => u1_pre_topc(A) = u1_pre_topc(B) ) ) ) )).
fof(t10_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ( v7_topgen_1(A) <=> r1_ordinal1(k1_card_1(k2_struct_0(A)),k4_ordinal1) ) ) )).
fof(t10_topgen_5,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v4_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(B)) & v5_pre_topc(E,k1_pre_topc(A,C),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(B)) & v5_pre_topc(F,k1_pre_topc(A,D),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(B)))) ) => ( r1_partfun1(E,F) => ( v1_funct_1(k1_funct_4(E,F)) & v1_funct_2(k1_funct_4(E,F),u1_struct_0(k1_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D))),u1_struct_0(B)) & v5_pre_topc(k1_funct_4(E,F),k1_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D)),B) & m1_subset_1(k1_funct_4(E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D))),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t10_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k7_relset_1(u1_struct_0(A),u1_struct_0(A),k3_group_1(A),B) = k1_group_2(A,B) ) ) )).
fof(t10_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => u1_struct_0(k2_topmetr(A,B)) = k1_rcomp_1(A,B) ) ) ) )).
fof(t10_topmetr3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k2_topmetr(A,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_topmetr(A,B))))) ) => ( ( r1_funct_2(k4_ordinal1,u1_struct_0(k2_topmetr(A,B)),k4_ordinal1,k1_numbers,D,C) & r1_xxreal_0(A,B) & v8_valued_0(C) ) => v2_tbsp_1(D,k2_topmetr(A,B)) ) ) ) ) ) )).
fof(t10_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ( r1_topreal1(k15_euclid(A),C,D,B) & k9_subset_1(u1_struct_0(k15_euclid(A)),B,k1_rltopsp1(k15_euclid(A),D,E)) = k1_tarski(D) ) => r1_topreal1(k15_euclid(A),C,E,k4_subset_1(u1_struct_0(k15_euclid(A)),B,k1_rltopsp1(k15_euclid(A),D,E))) ) ) ) ) ) ) )).
fof(t10_topreal3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,C) => a_3_1_topreal3(A,B,C) = k1_rltopsp1(k15_euclid(2),k19_euclid(B,A),k19_euclid(C,A)) ) ) ) ) )).
fof(t10_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(2))) => ~ ( A != B & r2_tarski(A,k8_metric_1(k14_euclid(2),D,C)) & r2_tarski(B,k8_metric_1(k14_euclid(2),D,C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r1_topreal4(E,A,B) & r1_tarski(E,k8_metric_1(k14_euclid(2),D,C)) ) ) ) ) ) ) ) )).
fof(t10_topreal5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)))) ) => ( A = k4_pscomp_1 => v5_pre_topc(A,k15_euclid(2),k3_topmetr) ) ) )).
fof(t10_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => ( A = k5_numbers | k1_newton(A,k7_nat_d(B,C)) = k7_xcmplx_0(k1_newton(A,B),k1_newton(A,C)) ) ) ) ) ) )).
fof(t10_topreal7,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k12_rvsum_1(k8_finseq_1(k1_numbers,A,B)) = k8_finseq_1(k1_numbers,k12_rvsum_1(A),k12_rvsum_1(B)) ) ) )).
fof(t10_topreal8,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_tarski(k10_xtuple_0(A),k10_xtuple_0(k3_graph_2(A,B))) ) ) )).
fof(t10_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ~ ( r2_tarski(C,k1_topreal9(A,k4_struct_0(k15_euclid(A)),B)) & r1_xxreal_0(B,k12_euclid(C)) ) ) ) ) )).
fof(t10_topreala,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(k1_pre_topc(B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(k1_pre_topc(B,D))))) ) => ( ( F = k2_partfun1(u1_struct_0(A),u1_struct_0(B),E,C) & v2_funct_2(F,u1_struct_0(k1_pre_topc(B,D))) & v1_t_0topsp(E,A,B) & v2_funct_1(E) ) => v1_t_0topsp(F,k1_pre_topc(A,C),k1_pre_topc(B,D)) ) ) ) ) ) ) ) )).
fof(t10_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => m1_pre_topc(k7_toprealb(2,k4_struct_0(k15_euclid(2)),A),k1_topreala(k4_xcmplx_0(A),A,k4_xcmplx_0(A),A)) ) )).
fof(t10_toprealc,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k39_valued_1(k14_valued_2(B,A)) = k14_valued_2(k39_valued_1(B),k1_square_1(A)) ) ) )).
fof(t10_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k1_toprns_1(A,k1_toprns_1(A,B,C),D) = k1_toprns_1(A,B,k1_toprns_1(A,C,D)) ) ) ) ) )).
fof(t10_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v3_pre_topc(C,A) ) => v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t10_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) <=> v2_tops_2(k7_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t10_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v2_tops_1(B,A) & B = u1_struct_0(A) ) ) ) )).
fof(t10_tops_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( v1_t_0topsp(B,A,k3_topmetr) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(C,D) & ! [E] : ( ( v1_xreal_0(E) & v2_xxreal_0(E) ) => ~ r1_tarski(k2_rcomp_1(k6_xcmplx_0(k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C),E),k2_xcmplx_0(k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C),E)),k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D)) ) ) ) ) ) ) ) )).
fof(t10_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_funct_2(A,A,k2_transgeo(A,B,k6_partfun1(A)),B) ) ) )).
fof(t10_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v11_aff_2(A) & v7_transgeo(B,A) & v7_transgeo(C,A) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_transgeo(u1_struct_0(A),C,B),k1_transgeo(u1_struct_0(A),B,C)) ) ) ) ) )).
fof(t10_treal_1,axiom,( r2_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),k3_treal_1(k5_numbers,1,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1)),k3_struct_0(k4_topmetr(k5_numbers,1))) )).
fof(t10_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ ( ~ r2_xboole_0(k1_xboole_0,B) & k1_xboole_0 = B ) => r2_xboole_0(A,k7_finseq_1(A,B)) ) ) ) )).
fof(t10_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => m4_trees_1(k1_trees_2(A,B),A) ) ) )).
fof(t10_trees_3,axiom,( ! [A] : ! [B] : ( ( v3_trees_3(A) & v3_trees_3(B) ) => v3_trees_3(k5_xboole_0(A,B)) ) )).
fof(t10_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => k9_xtuple_0(k4_trees_4(A,B)) = k11_trees_3(k1_funct_6(B)) ) )).
fof(t10_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(A,k3_trees_9(B)) <=> ? [C] : ( m1_trees_1(C,k9_xtuple_0(B)) & A = k5_trees_2(B,C) ) ) ) )).
fof(t10_trees_a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( m4_trees_1(C,k9_xtuple_0(A)) => ( C != k1_xboole_0 => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k9_xtuple_0(k3_trees_a(A,C,B))) & ? [E] : ( m2_finseq_1(E,k4_ordinal1) & r2_tarski(E,C) & ~ ( ~ r1_tarski(E,D) & k1_funct_1(k3_trees_a(A,C,B),D) = k1_funct_1(A,D) ) ) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ! [F] : ( m2_finseq_1(F,k4_ordinal1) => ~ ( r2_tarski(E,C) & r2_tarski(F,k9_xtuple_0(B)) & D = k8_finseq_1(k4_ordinal1,E,F) & k1_funct_1(k3_trees_a(A,C,B),D) = k1_funct_1(B,F) ) ) ) ) ) ) ) ) ) )).
fof(t10_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( ~ v2_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & B = u1_struct_0(C) ) ) ) )).
fof(t10_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_2(A,k2_pre_topc(A,B),k1_tops_1(A,k3_subset_1(u1_struct_0(A),B))) & r2_tsep_2(A,k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)),k1_tops_1(A,B)) & r2_tsep_2(A,k1_tops_1(A,B),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B))) & r2_tsep_2(A,k1_tops_1(A,k3_subset_1(u1_struct_0(A),B)),k2_pre_topc(A,B)) ) ) ) )).
fof(t10_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_tex_4(B,A) & ~ v1_zfmisc_1(B) & v1_tsp_1(B,A) ) ) ) )).
fof(t10_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_tsp_2(B,A) ) ) )).
fof(t10_turing_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( l1_turing_1(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C)))) => k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),k2_xcmplx_0(A,B)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),A)),B) ) ) ) ) )).
fof(t10_twoscomp,axiom,( k1_funct_1(k2_facirc_1,k10_finseq_1(k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k2_facirc_1,k10_finseq_1(k5_numbers,1)) = 1 & k1_funct_1(k2_facirc_1,k10_finseq_1(1,k5_numbers)) = 1 & k1_funct_1(k2_facirc_1,k10_finseq_1(1,1)) = 1 & k1_funct_1(k5_twoscomp,k10_finseq_1(k5_numbers,k5_numbers)) = 1 & k1_funct_1(k5_twoscomp,k10_finseq_1(k5_numbers,1)) = 1 & k1_funct_1(k5_twoscomp,k10_finseq_1(1,k5_numbers)) = k5_numbers & k1_funct_1(k5_twoscomp,k10_finseq_1(1,1)) = 1 & k1_funct_1(k3_twoscomp,k10_finseq_1(k5_numbers,k5_numbers)) = 1 & k1_funct_1(k3_twoscomp,k10_finseq_1(k5_numbers,1)) = 1 & k1_funct_1(k3_twoscomp,k10_finseq_1(1,k5_numbers)) = 1 & k1_funct_1(k3_twoscomp,k10_finseq_1(1,1)) = k5_numbers )).
fof(t10_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( ( v1_unialg_1(A) & m1_unialg_2(A,B) & v1_unialg_1(B) & m1_unialg_2(B,A) ) => A = B ) ) ) )).
fof(t10_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_unialg_1(B) & m1_unialg_2(B,A) ) => r1_tarski(k6_unialg_2(A),k1_funct_1(k3_unialg_3(A),B)) ) ) )).
fof(t10_uniform1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))))) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_topmetr(k5_numbers,1)),u1_struct_0(k14_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topmetr(k5_numbers,1)),u1_struct_0(k14_euclid(A))))) ) ) ) )).
fof(t10_uniroots,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A))) = k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k4_nat_d(B,A)),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k4_nat_d(B,A)),A))) ) ) )).
fof(t10_uproots,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xboole_0(B,C) => r6_pboole(A,k1_uproots(A,k4_subset_1(A,B,C),D),k11_pre_poly(A,k1_uproots(A,B,D),k1_uproots(A,C,D))) ) ) ) ) )).
fof(t10_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(A)) => ( B = k7_xcmplx_0(k5_urysohn1(A,B),k1_newton(2,A)) & r1_xxreal_0(k5_urysohn1(A,B),k1_newton(2,A)) ) ) ) )).
fof(t10_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( v3_measure5(A) => ( r1_xxreal_0(k5_numbers,B) | v4_measure5(k1_integra2(A,B)) ) ) ) ) )).
fof(t10_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k3_urysohn1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_urysohn1,k9_setfam_1(u1_struct_0(A))))) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k3_urysohn1) => ( ( r2_hidden(F,k10_prob_1(k5_numbers)) => k1_funct_1(E,F) = k1_xboole_0 ) & ( r2_hidden(F,k3_limfunc1(1)) => k1_funct_1(E,F) = u1_struct_0(A) ) & ( r2_hidden(F,k2_urysohn1) => ! [G] : ( v7_ordinal1(G) => ( r2_hidden(F,k1_urysohn1(G)) => k1_funct_1(E,F) = k1_funct_1(k8_nat_1(k4_partfun1(k2_urysohn1,k9_setfam_1(u1_struct_0(A))),D,G),F) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_valuat_1(E,A,B) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,E,k6_cqc_lang(A,D)),C) = k8_margrel1(k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,E,D),C)) ) ) ) ) ) )).
fof(t10_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v5_relat_1(A,k3_numbers) <=> ! [B] : v1_rat_1(k1_funct_1(A,B)) ) ) )).
fof(t10_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : k1_funct_1(k35_valued_1(A),B) = k5_xcmplx_0(k1_funct_1(A,B)) ) )).
fof(t10_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k30_valued_1(k7_valued_1(B,A)) = k13_valued_1(k30_valued_1(B),A) ) ) )).
fof(t10_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k1_group_1(k5_vectmetr(A)) = k3_struct_0(k4_vectmetr(A)) ) )).
fof(t10_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( r1_vectsp_5(A,B,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(D,E) => k4_vectsp_5(A,B,E,C,D) = k1_domain_1(u1_struct_0(B),u1_struct_0(B),k4_struct_0(B),E) ) ) ) ) ) ) ) )).
fof(t10_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_vectsp11(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v1_vectsp11(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( m1_vectsp11(E,A,B,C) & m1_vectsp11(F,A,B,D) ) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( m2_vectsp11(G,A,B,C,E) & m2_vectsp11(G,A,B,D,F) & G != k4_struct_0(B) ) ) | ( v1_vectsp11(k3_matrlin(A,B,B,C,D),A,B) & m1_vectsp11(k3_rlvect_1(A,E,F),A,B,k3_matrlin(A,B,B,C,D)) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( m2_vectsp11(G,A,B,C,E) & m2_vectsp11(G,A,B,D,F) ) => m2_vectsp11(G,A,B,k3_matrlin(A,B,B,C,D),k3_rlvect_1(A,E,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t10_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,k4_algstr_0(A,B),k4_algstr_0(A,C)) = k6_algstr_0(A,B,C) ) ) ) )).
fof(t10_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = k1_group_1(A) => ( B = k9_algstr_0(A,C) & C = k9_algstr_0(A,B) ) ) ) ) ) )).
fof(t10_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => m1_subset_1(D,u1_struct_0(B)) ) ) ) ) )).
fof(t10_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( k1_vectsp_5(A,B,k1_vectsp_4(A,B),k2_vectsp_4(A,B)) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) & k1_vectsp_5(A,B,k2_vectsp_4(A,B),k1_vectsp_4(A,B)) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) ) )).
fof(t10_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k3_vectsp_6(A,B,k12_finseq_1(u1_struct_0(B),C),D) = k12_finseq_1(u1_struct_0(B),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)) ) ) ) ) )).
fof(t10_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k1_vectsp_7(A,B,C) = k1_vectsp_4(A,B) & C != k1_xboole_0 & C != k6_domain_1(u1_struct_0(B),k4_struct_0(B)) ) ) ) ) )).
fof(t10_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( ( v1_vectsp_4(D,A,C) & r1_struct_0(k1_vectsp_7(A,C,D),B) ) => ( v1_xboole_0(D) | r2_hidden(B,D) ) ) ) ) ) )).
fof(t10_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v2_vectsp_7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => r1_struct_0(k1_vectsp_7(A,B,C),D) ) ) ) ) )).
fof(t10_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_relset_1(A,u1_struct_0(B),k4_vfunct_1(A,B,k3_vfunct_1(A,B,E,C),D),k3_vfunct_1(A,B,E,k4_vfunct_1(A,B,C,D))) ) ) ) ) ) )).
fof(t10_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_2(A,B,k1_vfunct_2(A,B,E,C),D),k1_vfunct_2(A,B,E,k2_vfunct_2(A,B,C,D))) ) ) ) ) ) )).
fof(t10_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( v7_ordinal1(I) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,H,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),G) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,H,D,E),k1_nat_1(I,1)),G),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,H,D,F),k1_nat_1(I,1)),G)) ) ) ) ) ) ) ) ) ) )).
fof(t10_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_waybel10(A))) <=> ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(t10_waybel11,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) ) )).
fof(t10_waybel12,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_yellow_4(A,B,k6_domain_1(u1_struct_0(A),k3_yellow_0(A))),k6_domain_1(u1_struct_0(A),k3_yellow_0(A))) ) ) )).
fof(t10_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => v2_waybel_8(k1_yellow_1(k7_waybel_0(A))) ) )).
fof(t10_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => k6_waybel_0(A,k3_yellow_0(A)) = u1_struct_0(A) ) )).
fof(t10_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( ( r5_waybel_1(A,B) & v1_yellow_0(A) & v3_waybel_8(A) ) => v3_waybel_8(B) ) ) ) )).
fof(t10_waybel16,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))))) ) => ( r2_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),B) & k2_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),B) = k1_setfam_1(B) ) ) )).
fof(t10_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_waybel11(A,k4_waybel17(A,B)) = k1_yellow_0(A,B) ) ) )).
fof(t10_waybel18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) => v5_pre_topc(k8_waybel18(A,B,C),A,k7_waybel18(A,B,C)) ) ) ) ) )).
fof(t10_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,B) & r2_tarski(k2_yellow_0(A,C),D) & r1_xboole_0(C,D) ) ) => r2_tarski(k2_yellow_0(A,C),k2_pre_topc(A,C)) ) ) ) ) )).
fof(t10_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v3_orders_2(D) & v5_orders_2(D) & l1_orders_2(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( ( v21_waybel_0(E,A,C) & v21_waybel_0(F,B,D) ) => v21_waybel_0(k1_waybel20(A,B,C,D,E,F),k3_yellow_3(A,B),k3_yellow_3(C,D)) ) ) ) ) ) ) ) )).
fof(t10_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & v4_waybel_0(B,A) & m1_yellow_0(B,A) ) => v22_waybel_0(k1_yellow_9(A,B),B,A) ) ) )).
fof(t10_waybel22,axiom,( ! [A] : k1_card_1(k1_waybel22(A)) = k1_card_1(A) )).
fof(t10_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_waybel_0(A,k6_waybel_0(A,B)) = k6_waybel_0(A,B) ) ) )).
fof(t10_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( v5_orders_3(D,k3_yellow_3(A,B),C) => ( v5_orders_3(k1_waybel24(A,B,C,D,E),B,C) & v5_orders_3(k2_waybel24(A,B,C,D,F),A,C) ) ) ) ) ) ) ) ) )).
fof(t10_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( v2_waybel18(B) & r1_waybel18(A,B) ) => v2_waybel18(A) ) ) ) )).
fof(t10_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => v5_orders_3(k4_waybel26(A,B,C,D),k1_waybel26(C,A),k1_waybel26(B,A)) ) ) ) ) )).
fof(t10_waybel27,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v11_quantal1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k1_yellow_2(B,B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_2(B,B,C))))) ) => k1_partfun1(u1_struct_0(A),u1_struct_0(k1_yellow_2(B,B,C)),u1_struct_0(B),u1_struct_0(B),D,C) = D ) ) ) ) )).
fof(t10_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( r2_tarski(B,k5_yellow_6(A)) => r2_tarski(k1_waybel28(A,B,C),k5_yellow_6(A)) ) ) ) ) )).
fof(t10_waybel29,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) => ! [C] : ( ( ~ v2_struct_0(C) & l1_waybel_9(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_waybel_9(D) ) => ( g1_waybel_9(u1_struct_0(C),u1_orders_2(C),u1_pre_topc(C)) = g1_waybel_9(u1_struct_0(D),u1_orders_2(D),u1_pre_topc(D)) => k3_waybel24(A,C) = k3_waybel24(B,D) ) ) ) ) ) ) )).
fof(t10_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => r1_tarski(k5_waybel11(A),k2_waybel19(A)) ) )).
fof(t10_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,A) ) => ! [D] : ( ( v1_tops_2(D,C) & v1_cantor_1(D,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) => ( v1_tops_2(a_3_0_waybel31(A,C,D),B) & v1_cantor_1(a_3_0_waybel31(A,C,D),B) & m1_subset_1(a_3_0_waybel31(A,C,D),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) )).
fof(t10_waybel32,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v25_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,u1_pre_topc(k12_yellow_6(A,k2_waybel11(A)))) <=> ( v1_waybel11(B,A) & v13_waybel_0(B,A) ) ) ) ) )).
fof(t10_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel33(B) & m1_yellow_9(B,A) ) => k4_waybel28(A) = u1_pre_topc(B) ) ) )).
fof(t10_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(B),k2_waybel34(A,B,k1_waybel34(A,B,C)),C) ) ) ) )).
fof(t10_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_waybel35(C,A,B) ) => ( v2_waybel35(C,A,B) => v3_lattice3(k5_yellow_0(A,C)) ) ) ) ) )).
fof(t10_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( r2_waybel_0(A,B,C) <=> ~ r1_waybel_0(A,B,k6_subset_1(u1_struct_0(A),C)) ) ) ) )).
fof(t10_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) <=> ( v5_orders_3(C,A,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r3_waybel_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E),k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_waybel_0(B,E))) ) ) ) ) ) ) ) )).
fof(t10_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,k3_yellow_3(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => k1_yellow_0(A,a_2_1_waybel_2(A,B)) = k1_yellow_0(A,k3_tarski(a_2_3_waybel_2(A,B))) ) ) )).
fof(t10_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_lattice3(A,k2_waybel_3(A,B),B) ) ) )).
fof(t10_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v5_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v5_waybel_4(k9_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),B,C),A) & m1_subset_1(k9_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) ) )).
fof(t10_waybel_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,C,k7_funcop_1(A,B)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_tarski(E,k1_relset_1(k4_card_3(k1_funct_6(D)),k2_pralg_2(D))) => ( v1_funct_1(k1_funct_1(k2_pralg_2(D),E)) & v1_funct_2(k1_funct_1(k2_pralg_2(D),E),A,B) & m1_subset_1(k1_funct_1(k2_pralg_2(D),E),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) ) ) )).
fof(t10_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => v2_waybel_6(k4_yellow_0(A),A) ) )).
fof(t10_waybel_7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v12_waybel_0(B,k2_yellow_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) => ( v1_waybel_0(B,k2_yellow_1(A)) <=> ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_tarski(C,B) => r2_tarski(k5_setfam_1(A,C),B) ) ) ) ) )).
fof(t10_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k2_waybel_8(A,C) = k2_waybel_8(B,D) ) ) ) ) ) ) )).
fof(t10_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( ~ v2_struct_0(k3_waybel_2(A,B,C)) & v4_orders_2(k3_waybel_2(A,B,C)) & v7_waybel_0(k3_waybel_2(A,B,C)) & l1_waybel_0(k3_waybel_2(A,B,C),A) ) ) ) ) )).
fof(t10_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k7_group_3(A,B)) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),k7_group_3(A,B)) => ( C != D => r1_xboole_0(k8_relset_1(u1_struct_0(A),k7_group_3(A,B),k2_weddwitt(A,B),k1_tarski(C)),k8_relset_1(u1_struct_0(A),k7_group_3(A,B),k2_weddwitt(A,B),k1_tarski(D))) ) ) ) ) ) )).
fof(t10_weierstr,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( v2_compts_1(B,k15_euclid(2)) & v5_pre_topc(A,k15_euclid(2),k3_topmetr) ) => v2_compts_1(k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr),A,B),k3_topmetr) ) ) ) )).
fof(t10_wellfnd1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_wellfnd1(A) <=> ! [B] : ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_tarski(k1_wellord1(u1_orders_2(A),C),B) => r2_tarski(C,B) ) ) => r1_tarski(u1_struct_0(A),B) ) ) ) )).
fof(t10_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k2_wellord1(B,A) = k5_relat_1(k6_relat_1(A,B),A) ) )).
fof(t10_wellord2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r4_wellord1(k1_wellord2(A),k1_wellord2(B)) => A = B ) ) ) )).
fof(t10_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r1_int_2(B,C) => r1_int_2(k1_newton(B,A),C) ) ) ) ) )).
fof(t10_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(A,B) => r1_tarski(A,k2_xboole_0(C,B)) ) )).
fof(t10_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k5_xboolean(k5_xboolean(k4_xboolean(A,B),k4_xboolean(B,C)),k4_xboolean(C,A)) = k4_xboolean(k4_xboolean(k5_xboolean(A,B),k5_xboolean(B,C)),k5_xboolean(C,A)) ) ) ) )).
fof(t10_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(C,D)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(A,D)),k3_xcmplx_0(B,C)),k3_xcmplx_0(B,D)) ) ) ) ) )).
fof(t10_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) <=> r1_xxreal_0(k6_xcmplx_0(C,B),k6_xcmplx_0(C,A)) ) ) ) ) )).
fof(t10_xregular,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ~ ( r2_tarski(A,B) & r2_tarski(B,C) & r2_tarski(C,D) & r2_tarski(D,E) & r2_tarski(E,F) & r2_tarski(F,A) ) )).
fof(t10_xtuple_0,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k11_xtuple_0(A),k11_xtuple_0(B)) ) )).
fof(t10_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( r2_hidden(A,k1_numbers) & r1_xxreal_0(A,B) & ~ r2_hidden(B,k1_numbers) & B != k1_xxreal_0 ) ) ) )).
fof(t10_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( r2_tarski(A,k2_xxreal_1(B,C)) & ~ ( r2_tarski(A,k3_xxreal_1(B,C)) & A != C ) & A != B ) ) ) )).
fof(t10_xxreal_2,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k1_xxreal_2(k2_xboole_0(A,B)) = k4_xxreal_0(k1_xxreal_2(A),k1_xxreal_2(B)) ) ) )).
fof(t10_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( k2_xxreal_3(A) = k2_xxreal_3(B) => A = B ) ) ) )).
fof(t10_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_yellow_3(A,B))) => ( r2_lattice3(k3_yellow_3(A,B),k7_domain_1(u1_struct_0(k3_yellow_3(A,B)),D,E),C) <=> ( r2_lattice3(A,k7_domain_1(u1_struct_0(A),k8_yellow_3(A,B,D),k8_yellow_3(A,B,E)),k8_yellow_3(A,B,C)) & r2_lattice3(B,k7_domain_1(u1_struct_0(B),k9_yellow_3(A,B,D),k9_yellow_3(A,B,E)),k9_yellow_3(A,B,C)) ) ) ) ) ) ) ) )).
fof(t10_yellow11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( ~ ( ? [B] : ( v4_yellow_0(B,A) & v5_yellow_0(B,A) & v6_yellow_0(B,A) & m1_yellow_0(B,A) & r5_waybel_1(k2_yellow11,B) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( B != C & B != D & B != E & B != F & C != D & C != E & C != F & D != E & D != F & E != F & k12_lattice3(A,B,C) = B & k12_lattice3(A,B,D) = B & k12_lattice3(A,B,E) = B & k12_lattice3(A,C,F) = C & k12_lattice3(A,D,F) = D & k12_lattice3(A,E,F) = E & k12_lattice3(A,C,D) = B & k12_lattice3(A,C,E) = B & k12_lattice3(A,D,E) = B & k13_lattice3(A,C,D) = F & k13_lattice3(A,C,E) = F & k13_lattice3(A,D,E) = F ) ) ) ) ) ) ) & ~ ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & B != C & B != D & B != E & B != F & C != D & C != E & C != F & D != E & D != F & E != F & k12_lattice3(A,B,C) = B & k12_lattice3(A,B,D) = B & k12_lattice3(A,B,E) = B & k12_lattice3(A,C,F) = C & k12_lattice3(A,D,F) = D & k12_lattice3(A,E,F) = E & k12_lattice3(A,C,D) = B & k12_lattice3(A,C,E) = B & k12_lattice3(A,D,E) = B & k13_lattice3(A,C,D) = F & k13_lattice3(A,C,E) = F & k13_lattice3(A,D,E) = F ) ) ) ) ) & ! [B] : ( ( v4_yellow_0(B,A) & v5_yellow_0(B,A) & v6_yellow_0(B,A) & m1_yellow_0(B,A) ) => ~ r5_waybel_1(k2_yellow11,B) ) ) ) ) )).
fof(t10_yellow12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & C = E & D = F ) => k13_lattice3(A,C,D) = k10_lattice3(B,E,F) ) ) ) ) ) ) ) )).
fof(t10_yellow13,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => r5_waybel_1(A,k1_yellow_1(k7_waybel_0(A))) ) )).
fof(t10_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v23_waybel_0(C,A,B) => v23_waybel_0(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) )).
fof(t10_yellow15,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m2_finseq_1(C,k5_margrel1) => ( ( k1_funct_1(C,1) = k7_margrel1 => k1_funct_1(k1_yellow15(A,k12_finseq_1(k1_zfmisc_1(A),B),C),1) = B ) & ( k1_funct_1(C,1) = k6_margrel1 => k1_funct_1(k1_yellow15(A,k12_finseq_1(k1_zfmisc_1(A),B),C),1) = k6_subset_1(A,B) ) ) ) ) )).
fof(t10_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_yellow16(A,B,C) => k10_xtuple_0(C) = u1_struct_0(A) ) ) ) ) )).
fof(t10_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k2_struct_0(k4_waybel18(A,B,C))) = k2_struct_0(k3_waybel18(A,B)) ) ) ) )).
fof(t10_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k8_altcat_1(A,C) = k8_altcat_1(B,D) ) ) ) ) ) ) )).
fof(t10_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( r2_tarski(C,k2_yellow19(A,B)) <=> ( r1_waybel_0(A,B,C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t10_yellow20,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( r1_yellow20(A,B) <=> ! [C] : ! [D] : ! [E] : ! [F] : ( ( r2_hidden(F,k9_xtuple_0(k1_funct_1(u2_altcat_1(A),k3_xtuple_0(C,D,E)))) & r2_hidden(F,k9_xtuple_0(k1_funct_1(u2_altcat_1(B),k3_xtuple_0(C,D,E)))) ) => k1_funct_1(k1_funct_1(u2_altcat_1(A),k3_xtuple_0(C,D,E)),F) = k1_funct_1(k1_funct_1(u2_altcat_1(B),k3_xtuple_0(C,D,E)),F) ) ) ) ) )).
fof(t10_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ( v2_wellord1(u1_orders_2(A)) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_orders_2(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( v1_waybel_3(D,A) & r3_orders_2(A,C,D) & r3_orders_2(A,D,B) ) ) ) ) ) ) ) )).
fof(t10_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( ( r1_lattice3(A,B,D) & r1_lattice3(A,C,D) ) => r1_lattice3(A,k2_xboole_0(B,C),D) ) & ( ( r2_lattice3(A,B,D) & r2_lattice3(A,C,D) ) => r2_lattice3(A,k2_xboole_0(B,C),D) ) ) ) ) )).
fof(t10_yellow_1,axiom,( ! [A] : ( l1_orders_2(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) <=> r1_tarski(B,C) ) ) ) => r2_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),k2_orders_1(u1_struct_0(A))) ) ) )).
fof(t10_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_yellow_2(A,B,C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = D ) ) ) ) ) )).
fof(t10_yellow_3,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( r2_hidden(C,k1_yellow_3(A,B)) <=> ( r2_hidden(k4_tarski(k1_xtuple_0(k1_xtuple_0(C)),k1_xtuple_0(k2_xtuple_0(C))),A) & r2_hidden(k4_tarski(k2_xtuple_0(k1_xtuple_0(C)),k2_xtuple_0(k2_xtuple_0(C))),B) & ? [D] : ? [E] : C = k4_tarski(D,E) & ? [D] : ? [E] : k1_xtuple_0(C) = k4_tarski(D,E) & ? [D] : ? [E] : k2_xtuple_0(C) = k4_tarski(D,E) ) ) ) ) )).
fof(t10_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,C) ) => r2_tarski(k10_lattice3(A,D,E),k1_yellow_4(A,B,C)) ) ) ) ) ) ) )).
fof(t10_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,C,B) => k12_lattice3(A,B,C) = C ) ) ) ) )).
fof(t10_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => ! [C] : ( m1_yellow_6(C,A,B) => r1_tarski(u1_struct_0(C),u1_struct_0(B)) ) ) ) )).
fof(t10_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( r1_yellow_0(A,B) <=> r2_yellow_0(k7_lattice3(A),B) ) ) )).
fof(t10_yellow_8,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_cantor_1(B,A) & v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_pre_topc(C,A) ) ) ) ) )).
fof(t10_yellow_9,axiom,( ! [A] : ( ( v13_struct_0(A,1) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_tops_2(k1_tarski(u1_struct_0(A)),A) & v1_cantor_1(k1_tarski(u1_struct_0(A)),A) & m1_subset_1(k1_tarski(u1_struct_0(A)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(k1_xboole_0,A) & v2_cantor_1(k1_xboole_0,A) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & v1_tops_2(k1_tarski(k1_xboole_0),A) & v2_cantor_1(k1_tarski(k1_xboole_0),A) & m1_subset_1(k1_tarski(k1_xboole_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) )).
fof(t10_zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k9_xtuple_0(B) = A & ! [C] : ( m1_subset_1(C,A) => k1_funct_1(B,C) = k7_relat_1(B,C) ) ) => v1_ordinal1(k10_xtuple_0(B)) ) ) ) )).
fof(t10_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ( ( v8_zf_fund1(D,A) & r2_tarski(B,k9_funct_2(E,k4_ordinal1)) & r2_tarski(C,D) ) => r2_tarski(a_3_4_zf_fund1(A,B,C),D) ) ) ) ) ) ) )).
fof(t10_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ~ ( ~ v7_zf_lang(A) & ~ v4_zf_lang(A) & ~ v5_zf_lang(A) & ~ v6_zf_lang(A) ) ) )).
fof(t10_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k9_zf_lang(A,B) = k10_zf_lang(k5_zf_lang(A),B) ) ) )).
fof(t10_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ( v5_zf_lang(A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ( r2_tarski(C,k5_zf_model(k20_zf_lang(A),B)) & r2_tarski(C,k5_zf_model(k21_zf_lang(A),B)) ) <=> r2_tarski(C,k5_zf_model(A,B)) ) ) ) ) ) )).
fof(t10_zf_refle,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => v3_ordinal1(k3_card_3(A)) ) )).
fof(t10_zfmisc_1,axiom,( ! [A] : ! [B] : ~ ( r1_xboole_0(k1_tarski(A),k1_tarski(B)) & A = B ) )).
fof(t10_zfmodel1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,B) => ( r2_tarski(A,k2_zf_model(B)) | r1_zf_model(C,D,k7_zf_lang(A,B)) ) ) ) ) ) ) )).
fof(t10_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( r1_zf_model(A,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) => ( r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(B)) | ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( k3_funct_2(A,A,k1_zfmodel1(B,A,C),D) = E <=> r1_zf_model(A,k2_zf_lang1(A,k2_zf_lang1(A,C,k2_zf_lang(3),D),k2_zf_lang(4),E),B) ) ) ) ) ) ) ) ) )).
fof(t10_zfrefle1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ( ( v1_zf_model(A) & r2_zfrefle1(A,B) & v1_ordinal1(B) ) => v1_zf_model(B) ) ) ) )).
fof(t10_zmodul01,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( v6_zmodul01(B) & k1_zmodul01(B,C,A) = k1_zmodul01(B,D,A) ) => ( A = k5_numbers | C = D ) ) ) ) ) ) )).
fof(t10_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_zmodul02(D,A,B) => ( r1_tarski(B,C) => m2_zmodul02(D,A,C) ) ) ) ) ) )).
fof(t10_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(k18_zmodul02(A,B),u1_struct_0(k33_zmodul02(A,C))) & ! [D] : ( m2_zmodul02(D,A,C) => k21_zmodul02(A,B) != k21_zmodul02(A,D) ) ) ) ) ) )).
fof(t10_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) => ! [D] : ( m2_vectsp_6(D,k11_gaussint,k5_zmodul04(A),C) => ! [E] : ( v1_int_1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k11_gaussint)) => ! [G] : ( m2_zmodul02(G,A,B) => ( ( v6_zmodul01(A) & C = k7_relset_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),B) & E = F & r1_funct_2(u1_struct_0(A),k4_numbers,u1_struct_0(A),u1_struct_0(k11_gaussint),G,k1_partfun1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint),k6_zmodul04(A),k6_vectsp_6(k11_gaussint,k5_zmodul04(A),F,D))) ) => ( E = k5_numbers | k3_vectsp_1(k11_gaussint,k5_zmodul04(A),F,k4_vectsp_6(k11_gaussint,k5_zmodul04(A),D)) = k3_funct_2(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),k21_zmodul02(A,G)) ) ) ) ) ) ) ) ) ) )).
fof(t10_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_zmodul05(B,C),k1_zmodul05(A,C)) ) ) ) )).
fof(t10_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( ~ v1_zmodul06(B,A) & v1_zmodul06(k4_algstr_0(A,B),A) ) ) ) )).
fof(t110_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k49_abcmiz_1)) <=> ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_abcmiz_1)) & k1_abcmiz_1(A) = A ) ) )).
fof(t110_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_absred_0(B,A) & r1_absred_0(A,C,B) ) => v3_absred_0(C,A) ) ) ) ) )).
fof(t110_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r5_aofa_000(A,B,C,E,D) & r5_aofa_000(A,B,C,F,D) ) => r5_aofa_000(A,B,C,k13_aofa_000(A,E,F),D) ) ) ) ) ) ) ) )).
fof(t110_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( r2_tarski(J,k1_msafree4(u1_struct_0(B),D,K)) & r2_tarski(k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),G) ) => ( r2_hidden(J,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),H),K)) | r2_tarski(k15_aofa_l00(A,E,F,H,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t110_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,k6_bvfunc25(A,C,D)),k15_margrel1(A,k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D),k5_bvfunc_1(A,k14_margrel1(A,B),k14_margrel1(A,k5_bvfunc_1(A,C,D))))) ) ) ) ) )).
fof(t110_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k9_bvfunc_1(A,k5_bvfunc_1(A,B,C),D),k9_bvfunc_1(A,B,D)) ) ) ) ) )).
fof(t110_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v6_chord(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v2_glib_000(B) & v6_chord(B) ) => ! [C] : ( ( v7_chord(C,A) & m3_chord(C,A) ) => ( r5_glib_000(A,B) => ( v7_chord(C,B) & m3_chord(C,B) ) ) ) ) ) )).
fof(t110_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k2_normsp_0(A,B),k2_normsp_0(A,C))),k2_normsp_0(A,k5_algstr_0(A,B,C))) ) ) ) )).
fof(t110_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( r1_fdiff_1(B,E) & r1_fdiff_1(C,E) & r1_fdiff_1(D,E) ) => ( k1_funct_1(B,E) = k5_numbers | k1_funct_1(C,E) = k5_numbers | k1_funct_1(D,E) = k5_numbers | A = k5_numbers | k8_euclid_8(k6_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,B,A)),k6_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A)),k6_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,D,A)),E) = k6_euclid(3,k9_euclid(3,k1_euclid_8(k7_xcmplx_0(k1_fdiff_1(B,E),k1_square_1(k1_funct_1(B,E))),k7_xcmplx_0(k1_fdiff_1(C,E),k1_square_1(k1_funct_1(C,E))),k7_xcmplx_0(k1_fdiff_1(D,E),k1_square_1(k1_funct_1(D,E)))),k7_xcmplx_0(1,A))) ) ) ) ) ) ) ) )).
fof(t110_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ( ( r1_tarski(D,F) & r1_tarski(E,F) & r6_euclidlp(A,D,E) & r2_tarski(B,F) & r5_euclidlp(A,C,E) & r2_tarski(B,C) ) => ( r1_tarski(C,F) & r6_euclidlp(A,C,D) ) ) ) ) ) ) ) ) )).
fof(t110_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ( k4_finseq_2(A,D) = k4_finseq_2(B,C) => A = B ) ) ) ) )).
fof(t110_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ~ r1_xxreal_0(B,A) => k1_funct_1(k2_finseq_3(B,C),A) = k1_funct_1(C,A) ) ) ) ) )).
fof(t110_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( k3_finseq_1(A) = 1 => k3_finseq_5(A) = A ) ) )).
fof(t110_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k2_flang_2(A,k7_flang_1(A,B,C)),k8_flang_1(A,B)) ) ) )).
fof(t110_funct_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k3_tarski(A) => ( k9_xtuple_0(B) = k3_tarski(a_1_0_funct_1(A)) & k10_xtuple_0(B) = k3_tarski(a_1_1_funct_1(A)) ) ) ) ) )).
fof(t110_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_tarski(k2_relset_1(C,D),k1_relset_1(C,E)) => r2_funct_2(A,B,k1_partfun1(A,A,A,B,F,k8_funct_2(A,B,C,D,E)),k8_funct_2(A,B,C,k1_partfun1(A,A,A,C,F,D),E)) ) ) ) ) ) )).
fof(t110_funct_4,axiom,( ! [A] : ! [B] : ! [C] : k9_xtuple_0(k1_funct_4(k1_funct_4(k7_funcop_1(C,B),k17_funcop_1(C,A)),k17_funcop_1(k1_ordinal1(C),A))) = k1_ordinal1(k1_ordinal1(C)) )).
fof(t110_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( v1_funct_1(k1_funct_7(k1_funct_7(B,C,k1_funct_1(B,D)),D,k1_funct_1(B,C))) & v1_funct_2(k1_funct_7(k1_funct_7(B,C,k1_funct_1(B,D)),D,k1_funct_1(B,C)),A,A) & v3_funct_2(k1_funct_7(k1_funct_7(B,C,k1_funct_1(B,D)),D,k1_funct_1(B,C)),A,A) & m1_subset_1(k1_funct_7(k1_funct_7(B,C,k1_funct_1(B,D)),D,k1_funct_1(B,C)),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) ) )).
fof(t110_gfacirc1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ~ v1_facirc_1(k2_msafree2(k43_gfacirc1(A,B,C))) ) ) ) )).
fof(t110_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( C = D => k14_glib_001(A,C) = k14_glib_001(B,D) ) ) ) ) ) )).
fof(t110_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k14_group_2(A,k6_group_2(A),B) = k6_domain_1(u1_struct_0(A),B) & k13_group_2(A,k6_group_2(A),B) = k6_domain_1(u1_struct_0(A),B) ) ) ) )).
fof(t110_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( r2_tarski(B,k9_group_3(A,C)) => r2_tarski(C,k9_group_3(A,B)) ) ) ) ) )).
fof(t110_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ( ~ r1_xxreal_0(k3_finseq_1(C),1) => ( v10_group_9(C,A,B) <=> ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(k20_group_9(A,B,C))) => ( ~ v2_struct_0(k1_funct_1(k20_group_9(A,B,C),D)) & v2_group_1(k1_funct_1(k20_group_9(A,B,C),D)) & v3_group_1(k1_funct_1(k20_group_9(A,B,C),D)) & v2_group_9(k1_funct_1(k20_group_9(A,B,C),D),A) & v3_group_9(k1_funct_1(k20_group_9(A,B,C),D),A) & v6_group_9(k1_funct_1(k20_group_9(A,B,C),D),A) & l1_group_9(k1_funct_1(k20_group_9(A,B,C),D),A) ) ) ) ) ) ) ) )).
fof(t110_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(k17_euclid(B),k5_numbers) & ~ r1_xxreal_0(k17_euclid(C),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(k18_euclid(C),k12_euclid(C)),k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) & ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E),k12_euclid(E)),k7_xcmplx_0(k18_euclid(D),k12_euclid(D))) ) ) ) ) ) ) )).
fof(t110_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = H & k17_euclid(D) = F & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & r1_xxreal_0(k17_euclid(C),F) & r1_xxreal_0(G,k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),H) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t110_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) => ( r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,A)),k17_euclid(B)) | r2_tarski(B,k2_goboard9(A)) ) ) ) ) )).
fof(t110_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v2_membered(C) => k14_member_1(k14_member_1(A,B),C) = k14_member_1(A,k12_member_1(B,C)) ) ) ) )).
fof(t110_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( r1_mesfunc5(A,B,C,D) => ( r1_mesfunc5(A,B,C,k6_mesfunc1(A,D,E)) & k7_mesfunc5(A,B,C,k6_mesfunc1(A,D,E)) = k4_xxreal_3(E,k7_mesfunc5(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(t110_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( ( v3_msualg_6(F,A,k1_msafree3(A,C)) & v4_msualg_6(F,A,k1_msafree3(A,C)) & v12_msafree4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))) & v13_msafree4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C))) & v14_msafree4(F,A,C) & m1_msualg_4(F,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C))) ) => ( ! [G] : ( m1_subset_1(G,k3_card_3(u3_msualg_1(A,k10_msafree4(A,C,F)))) => k1_funct_1(k2_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E),k3_msafree5(A,k10_msafree4(A,C,F),G)),G) = k4_msafree5(A,k10_msafree4(A,C,F),k10_msafree4(A,C,F),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E),G) ) & r8_pboole(u1_struct_0(A),k1_msafree(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),u3_msualg_1(A,k1_msafree3(A,C)),k9_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),F),k22_msafree5(A,C,k1_msafree3(A,C),B,D,E)),k22_msafree5(A,C,k10_msafree4(A,C,F),B,D,E)) ) ) ) ) ) ) ) )).
fof(t110_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r14_ncfcont1(A,B,C,D) => ( r14_ncfcont1(A,B,C,k5_vfunct_1(u1_struct_0(A),B,D)) & r17_ncfcont1(A,C,k4_normsp_0(u1_struct_0(A),B,D)) ) ) ) ) ) )).
fof(t110_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r5_pboole(A,k3_pboole(A,B,C),k5_pboole(A,B,C)) ) ) )).
fof(t110_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_hidden(B,k7_relat_1(C,A)) <=> ? [D] : ( r2_hidden(D,k9_xtuple_0(C)) & r2_hidden(k4_tarski(D,B),C) & r2_hidden(D,A) ) ) ) )).
fof(t110_rvsum_1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k20_rvsum_1(A) = k1_finsop_1(k2_numbers,A,k5_binop_2) ) )).
fof(t110_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( ( r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) | k6_scmpds_4(k9_scmpds_6(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) = k1_funct_4(k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k4_card_1(C),1))) ) ) ) ) ) ) ) )).
fof(t110_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v6_scmyciel(A) ) => ( r1_xxreal_0(2,k8_scmyciel(A)) => k8_scmyciel(k12_scmyciel(A)) = k8_scmyciel(A) ) ) )).
fof(t110_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ! [D] : ( m2_finseq_2(D,k2_numbers,k12_seq_4(A)) => ( r2_tarski(D,k21_seq_4(A,C,B)) <=> ~ r1_xxreal_0(B,k20_seq_4(k17_seq_4(A,C,D))) ) ) ) ) ) )).
fof(t110_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,E),E),D),k5_sheffer1(A,k5_sheffer1(A,C,C),D)) = k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,B,B)),k5_sheffer1(A,B,k5_sheffer1(A,B,B))),C)),k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,B,B)),k5_sheffer1(A,B,k5_sheffer1(A,B,B))),C))) ) ) ) ) ) )).
fof(t110_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(A,1) ) => k6_xcmplx_0(k4_sin_cos6(A),k2_sin_cos6(k4_xcmplx_0(A))) = k7_xcmplx_0(k28_sin_cos,2) ) ) )).
fof(t110_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2))))) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => ( k1_funct_1(C,F) = k7_xcmplx_0(F,A) & ~ r1_xxreal_0(k1_funct_1(C,F),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(C,F)) ) ) ) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(D,F) = 1 ) ) & E = k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(C,F) = k7_xcmplx_0(F,A) ) ) ) => ( A = k5_numbers | ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2))),B) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_taylor_1),k7_xcmplx_0(A,2))),B),F) = k1_funct_1(k2_sin_cos9,k7_xcmplx_0(F,A)) ) ) ) ) ) ) ) ) ) ) )).
fof(t110_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(k3_square_1(2))) & ~ r1_xxreal_0(k4_xcmplx_0(1),A) & ~ ( ~ r1_xxreal_0(k6_sincos10(A),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)) & ~ r1_xxreal_0(k28_sin_cos,k6_sincos10(A)) ) ) ) )).
fof(t110_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v3_tdlat_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k12_tdlat_1(A)))) => ( C = B => ( ( C != k1_xboole_0 => k16_lattice3(k12_tdlat_1(A),C) = k1_tops_1(A,k6_setfam_1(u1_struct_0(A),B)) ) & ( C = k1_xboole_0 => k16_lattice3(k12_tdlat_1(A),C) = k2_struct_0(A) ) ) ) ) ) ) ) )).
fof(t110_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( ( v1_tsep_1(B,A) & m1_pre_topc(B,A) ) <=> ( v1_funct_1(k9_tmap_1(A,B)) & v1_funct_2(k9_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))) & v5_pre_topc(k9_tmap_1(A,B),A,k8_tmap_1(A,B)) & m1_subset_1(k9_tmap_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))))) ) ) ) ) )).
fof(t110_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(B,A) & r1_tarski(C,A) ) => r1_tarski(k5_xboole_0(B,C),A) ) )).
fof(t110_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k6_xboolean(k6_xboolean(A,k6_xboolean(B,C)),k6_xboolean(B,k6_xboolean(A,C))) = k2_xboolean ) ) ) )).
fof(t110_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B != k5_numbers => A = k7_xcmplx_0(A,k3_xcmplx_0(B,k7_xcmplx_0(1,B))) ) ) ) )).
fof(t110_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k5_numbers,D) & ~ r1_xxreal_0(k7_xcmplx_0(C,D),k3_xcmplx_0(A,B)) & r1_xxreal_0(k7_xcmplx_0(C,B),k3_xcmplx_0(A,D)) ) ) ) ) ) )).
fof(t110_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(C,A) & ~ r1_xxreal_0(D,C) & r1_tarski(k2_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t110_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( r1_zf_model(B,C,k10_zf_lang(A,k6_zf_lang(A,A))) & r2_zf_model(B,k10_zf_lang(A,k6_zf_lang(A,A))) ) ) ) ) )).
fof(t110_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( k2_zfmisc_1(A,C) = k2_zfmisc_1(B,D) => ( A = k1_xboole_0 | C = k1_xboole_0 | ( A = B & C = D ) ) ) )).
fof(t110_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_zmodul01(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k7_zmodul01(A,k4_zmodul01(A),k4_zmodul01(A)) = A ) )).
fof(t111_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k49_abcmiz_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k49_abcmiz_1)) => ( k13_lattice3(k49_abcmiz_1,A,B) = k3_xboole_0(A,B) & k12_lattice3(k49_abcmiz_1,A,B) = k2_xboole_0(A,B) ) ) ) )).
fof(t111_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v4_absred_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r9_absred_0(A,C,B) ) ) ) ) )).
fof(t111_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r6_aofa_000(A,B,C,F,D,E) & r6_aofa_000(A,B,C,G,D,E) & r7_aofa_000(A,B,C,F,D,E) ) => r6_aofa_000(A,B,C,k13_aofa_000(A,F,G),D,E) ) ) ) ) ) ) ) )).
fof(t111_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t111_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k6_bvfunc25(A,C,D)),k14_margrel1(A,k15_margrel1(A,B,k5_bvfunc_1(A,C,D)))) ) ) ) ) )).
fof(t111_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k2_bvfunc_1(A,B,D),C)) ) ) ) ) )).
fof(t111_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ( ? [B] : ( m3_chord(B,A) & v7_chord(B,A) ) => v6_chord(A) ) ) )).
fof(t111_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,B,D)),k2_xcmplx_0(k2_normsp_0(A,k5_algstr_0(A,B,C)),k2_normsp_0(A,k5_algstr_0(A,C,D)))) ) ) ) ) )).
fof(t111_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( v1_xreal_0(G) => ( ( r1_fdiff_1(A,G) & r1_fdiff_1(B,G) & r1_fdiff_1(C,G) & r1_fdiff_1(D,G) & r1_fdiff_1(E,G) & r1_fdiff_1(F,G) ) => k8_euclid_8(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,F),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,E)),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,F)),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,D)),G) = k7_euclid(3,k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,G),k1_fdiff_1(F,G)),k3_xcmplx_0(k1_funct_1(C,G),k1_fdiff_1(E,G))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,G),k1_fdiff_1(D,G)),k3_xcmplx_0(k1_funct_1(A,G),k1_fdiff_1(F,G))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,G),k1_fdiff_1(E,G)),k3_xcmplx_0(k1_funct_1(B,G),k1_fdiff_1(D,G)))),k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B,G),k1_funct_1(F,G)),k3_xcmplx_0(k1_fdiff_1(C,G),k1_funct_1(E,G))),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C,G),k1_funct_1(D,G)),k3_xcmplx_0(k1_fdiff_1(A,G),k1_funct_1(F,G))),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A,G),k1_funct_1(E,G)),k3_xcmplx_0(k1_fdiff_1(B,G),k1_funct_1(D,G))))) ) ) ) ) ) ) ) ) )).
fof(t111_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ( ( r1_tarski(B,E) & r1_tarski(C,E) & r1_tarski(D,E) & r6_euclidlp(A,B,C) & r6_euclidlp(A,B,D) ) => r5_euclidlp(A,C,D) ) ) ) ) ) ) )).
fof(t111_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( k3_finseq_1(D) = k1_nat_1(B,1) & r2_tarski(C,k1_relset_1(k4_ordinal1,D)) & r1_xxreal_0(C,A) & r1_xxreal_0(A,B) ) => k1_funct_1(k2_finseq_3(C,D),A) = k1_funct_1(D,k1_nat_1(A,1)) ) ) ) ) ) )).
fof(t111_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => k3_finseq_1(k2_rfinseq(A,C,B)) = k7_nat_d(k3_finseq_1(B),C) ) ) ) )).
fof(t111_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k6_flang_1(A,k2_flang_2(A,B),k1_flang_2(A,B,C,D)) = k6_flang_1(A,k1_flang_2(A,B,C,D),k2_flang_2(A,B)) ) ) ) )).
fof(t111_funct_1,axiom,( ! [A] : ~ ( ! [B] : ~ ( r2_tarski(B,A) & B = k1_xboole_0 ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( k9_xtuple_0(B) = A & ! [C] : ( r2_tarski(C,A) => r2_tarski(k1_funct_1(B,C),C) ) ) ) ) )).
fof(t111_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_1(C) <=> ? [D] : ( m1_subset_1(D,B) & k2_relset_1(B,C) = k1_tarski(D) ) ) ) ) ) )).
fof(t111_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : k1_funct_4(k5_relat_1(A,B),A) = A ) )).
fof(t111_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ~ ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k9_xtuple_0(A),k9_xtuple_0(A)) & v3_funct_2(D,k9_xtuple_0(A),k9_xtuple_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A),k9_xtuple_0(A)))) ) => k1_funct_7(k1_funct_7(A,B,k1_funct_1(A,C)),C,k1_funct_1(A,B)) != k3_relat_1(D,A) ) ) ) )).
fof(t111_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(A,u1_struct_0(k43_gfacirc1(A,B,C))) & r2_tarski(B,u1_struct_0(k43_gfacirc1(A,B,C))) & r2_tarski(C,u1_struct_0(k43_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),u1_struct_0(k43_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k6_twoscomp),u1_struct_0(k43_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),u1_struct_0(k43_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)),k18_twoscomp),u1_struct_0(k43_gfacirc1(A,B,C))) ) )).
fof(t111_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => k14_glib_001(A,k10_glib_001(A,B,C)) = k2_xboole_0(k14_glib_001(A,B),k1_tarski(C)) ) ) ) )).
fof(t111_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k13_group_2(A,k7_group_2(A),B) = u1_struct_0(A) & k14_group_2(A,k7_group_2(A),B) = u1_struct_0(A) ) ) ) )).
fof(t111_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( k9_group_3(A,B) = k9_group_3(A,C) <=> ~ r1_xboole_0(k9_group_3(A,B),k9_group_3(A,C)) ) ) ) ) )).
fof(t111_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(k3_finseq_1(C),1)) ) => ( v2_group_9(k1_funct_1(C,D),A) & m1_group_9(k1_funct_1(C,D),A,B) & v2_group_9(k1_funct_1(C,k1_nat_1(D,1)),A) & m1_group_9(k1_funct_1(C,k1_nat_1(D,1)),A,B) ) ) ) ) ) )).
fof(t111_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k7_xcmplx_0(k18_euclid(B),k12_euclid(B)) = A => ( r1_xxreal_0(k17_euclid(B),k5_numbers) | ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) => ( ~ r1_xxreal_0(k17_euclid(C),k5_numbers) & k18_euclid(C) = k5_numbers ) ) ) ) ) ) ) )).
fof(t111_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = H & k17_euclid(D) = F & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & r1_xxreal_0(k17_euclid(C),F) & r1_xxreal_0(G,k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),H) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t111_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) => ( r1_xxreal_0(k17_euclid(B),k8_pscomp_1(k3_topreal1(2,A))) | r2_tarski(B,k2_goboard9(A)) ) ) ) ) )).
fof(t111_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v1_matrix_1(C,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( k8_matrix13(B,C) = A => ( v2_vectsp_7(k9_matrix13(B,A,A,C),B,k6_prvect_1(B,A)) & m1_subset_1(k9_matrix13(B,A,A,C),k1_zfmisc_1(u1_struct_0(k6_prvect_1(B,A)))) ) ) ) ) ) )).
fof(t111_member_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k14_member_1(k1_tarski(A),k1_tarski(B)) = k1_tarski(k6_xxreal_3(A,B)) ) ) )).
fof(t111_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) & r1_tarski(F,k1_relset_1(A,k3_mesfunc1(A,D,E))) ) => ( r1_mesfunc5(A,B,C,k3_mesfunc1(A,D,E)) & k8_mesfunc5(A,B,C,k3_mesfunc1(A,D,E),F) = k3_supinf_2(k8_mesfunc5(A,B,C,D,F),k8_mesfunc5(A,B,C,E,F)) ) ) ) ) ) ) ) ) )).
fof(t111_msafree5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) => ! [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) => ! [H] : ( ( v3_msualg_6(H,B,k1_msafree3(B,D)) & v4_msualg_6(H,B,k1_msafree3(B,D)) & v12_msafree4(H,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))) & v13_msafree4(H,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))) & v14_msafree4(H,B,D) & m1_msualg_4(H,u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D))) ) => ( ( r2_tarski(A,k4_finseq_1(G)) & r1_rewrite1(k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D)),H,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,C),A)),E,F) ) => r1_rewrite1(k7_msafree4(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D)),u3_msualg_1(B,k1_msafree3(B,D)),H,k2_msualg_1(B,C)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(G,A,E)),k1_funct_1(k5_msualg_1(B,C,k1_msafree3(B,D)),k1_funct_7(G,A,F))) ) ) ) ) ) ) ) ) ) )).
fof(t111_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( r15_ncfcont1(B,A,C,D) => ( r15_ncfcont1(B,A,C,k5_vfunct_1(u1_struct_0(B),A,D)) & r6_nfcont_1(B,C,k4_normsp_0(u1_struct_0(B),A,D)) ) ) ) ) ) )).
fof(t111_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r5_pboole(A,B,C) => r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A)) ) ) ) )).
fof(t111_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k7_relat_1(B,A),k10_xtuple_0(B)) ) )).
fof(t111_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k2_numbers) => k20_rvsum_1(k5_finseq_2(k2_numbers,k2_xcmplx_0(A,B),C)) = k3_xcmplx_0(k20_rvsum_1(k5_finseq_2(k2_numbers,A,C)),k20_rvsum_1(k5_finseq_2(k2_numbers,B,C))) ) ) ) )).
fof(t111_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) => k6_scmpds_4(k9_scmpds_6(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) = k1_funct_4(B,k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k4_card_1(C),1))) ) ) ) ) ) ) )).
fof(t111_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => ? [B] : ( v10_scmyciel(B,k12_scmyciel(A)) & m1_eqrel_1(B,k3_tarski(k12_scmyciel(A))) & k1_card_1(B) = k2_xcmplx_0(1,k10_scmyciel(A)) ) ) )).
fof(t111_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ( ~ r1_xxreal_0(B,k5_numbers) => r2_tarski(C,k21_seq_4(A,C,B)) ) ) ) ) )).
fof(t111_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B)) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) )).
fof(t111_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_sin_cos9))) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),B)) ) ) ) ) => ( r2_tarski(k5_numbers,A) | ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_sin_cos9),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) ) )).
fof(t111_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(k3_square_1(2))) & ~ r1_xxreal_0(k4_xcmplx_0(1),A) & ~ ( ~ r1_xxreal_0(k7_sincos10(A),k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2))) & ~ r1_xxreal_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_sincos10(A)) ) ) ) )).
fof(t111_tdlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v3_tdlat_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_tdlat_1(A)))) => ( C = B => k15_lattice3(k4_tdlat_1(A),C) = k1_tops_1(A,k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B))) ) ) ) ) ) )).
fof(t111_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_tsep_1(A,C,D))) => ( ( H = F & H = G ) => ( r1_tmap_1(k1_tsep_1(A,C,D),B,E,H) <=> ( r1_tmap_1(C,B,k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),F) & r1_tmap_1(D,B,k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t111_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k4_xboole_0(k3_xboole_0(A,C),k3_xboole_0(B,C)) = k3_xboole_0(k4_xboole_0(A,B),C) )).
fof(t111_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k6_xboolean(k6_xboolean(k6_xboolean(A,B),C),k6_xboolean(B,C)) = k2_xboolean ) ) ) )).
fof(t111_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( A != k5_numbers & B != k5_numbers & k7_xcmplx_0(1,k3_xcmplx_0(A,B)) = k5_numbers ) ) ) )).
fof(t111_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(C,D),k3_xcmplx_0(A,B)) & r1_xxreal_0(k7_xcmplx_0(C,B),k3_xcmplx_0(A,D)) ) ) ) ) ) )).
fof(t111_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,C) & r1_tarski(k3_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t111_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( r1_zf_model(D,E,k10_zf_lang(k10_zf_lang(A,B),k10_zf_lang(k10_zf_lang(A,C),k10_zf_lang(A,k6_zf_lang(B,C))))) & r2_zf_model(D,k10_zf_lang(k10_zf_lang(A,B),k10_zf_lang(k10_zf_lang(A,C),k10_zf_lang(A,k6_zf_lang(B,C))))) ) ) ) ) ) ) )).
fof(t111_zfmisc_1,axiom,( ! [A] : ! [B] : ( ( r1_tarski(A,k2_zfmisc_1(A,B)) | r1_tarski(A,k2_zfmisc_1(B,A)) ) => A = k1_xboole_0 ) )).
fof(t111_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => m1_zmodul01(k7_zmodul01(A,B,C),k6_zmodul01(A,B,C)) ) ) ) )).
fof(t112_abcmiz_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k49_abcmiz_1))) ) => ( r1_yellow_0(k49_abcmiz_1,A) & k1_yellow_0(k49_abcmiz_1,A) = k1_setfam_1(A) ) ) )).
fof(t112_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_absred_0(B,A) ) => v4_absred_0(A) ) ) )).
fof(t112_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r5_aofa_000(A,B,C,E,D) & r5_aofa_000(A,B,C,F,D) & r5_aofa_000(A,B,C,G,D) ) => r5_aofa_000(A,B,C,k14_aofa_000(A,E,F,G),D) ) ) ) ) ) ) ) ) )).
fof(t112_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ! [K] : ( m1_subset_1(K,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [L] : ( m1_subset_1(L,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => ! [M] : ( m1_subset_1(M,u1_struct_0(B)) => ( ( r2_tarski(I,k1_msafree4(u1_struct_0(B),D,M)) & r2_tarski(J,k1_msafree4(u1_struct_0(B),D,M)) & K = I & L = J ) => r2_tarski(k15_aofa_l00(A,E,F,k6_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,u1_aofa_l00(E),H,K,L),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I)),G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t112_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc25(A,B,k6_bvfunc25(A,C,D)),k5_bvfunc_1(A,k5_bvfunc_1(A,k14_margrel1(A,B),C),D)) ) ) ) ) )).
fof(t112_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t112_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & k2_normsp_0(A,k5_algstr_0(A,B,C)) = k5_numbers ) ) ) ) )).
fof(t112_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [J] : ( v1_xreal_0(J) => ( ( r1_fdiff_1(A,J) & r1_fdiff_1(B,J) & r1_fdiff_1(C,J) & r1_fdiff_1(D,J) & r1_fdiff_1(E,J) & r1_fdiff_1(F,J) & r1_fdiff_1(G,J) & r1_fdiff_1(H,J) & r1_fdiff_1(I,J) ) => k8_euclid_8(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,G,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,F),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,E))),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,F))),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,D))),J) = k7_euclid(3,k7_euclid(3,k1_euclid_8(k3_xcmplx_0(k1_fdiff_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,J),k1_funct_1(F,J)),k3_xcmplx_0(k1_funct_1(C,J),k1_funct_1(E,J)))),k3_xcmplx_0(k1_fdiff_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,J),k1_funct_1(D,J)),k3_xcmplx_0(k1_funct_1(A,J),k1_funct_1(F,J)))),k3_xcmplx_0(k1_fdiff_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,J),k1_funct_1(E,J)),k3_xcmplx_0(k1_funct_1(B,J),k1_funct_1(D,J))))),k1_euclid_8(k3_xcmplx_0(k1_funct_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B,J),k1_funct_1(F,J)),k3_xcmplx_0(k1_fdiff_1(C,J),k1_funct_1(E,J)))),k3_xcmplx_0(k1_funct_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C,J),k1_funct_1(D,J)),k3_xcmplx_0(k1_fdiff_1(A,J),k1_funct_1(F,J)))),k3_xcmplx_0(k1_funct_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A,J),k1_funct_1(E,J)),k3_xcmplx_0(k1_fdiff_1(B,J),k1_funct_1(D,J)))))),k1_euclid_8(k3_xcmplx_0(k1_funct_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,J),k1_fdiff_1(F,J)),k3_xcmplx_0(k1_funct_1(C,J),k1_fdiff_1(E,J)))),k3_xcmplx_0(k1_funct_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,J),k1_fdiff_1(D,J)),k3_xcmplx_0(k1_funct_1(A,J),k1_fdiff_1(F,J)))),k3_xcmplx_0(k1_funct_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,J),k1_fdiff_1(E,J)),k3_xcmplx_0(k1_funct_1(B,J),k1_fdiff_1(D,J)))))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t112_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ~ ( r1_tarski(C,F) & r1_tarski(D,F) & r1_tarski(E,F) & r5_euclidlp(A,C,D) & r5_euclidlp(A,D,E) & C != D & ~ r1_xboole_0(B,C) & ~ r1_xboole_0(B,D) & r1_xboole_0(B,E) ) ) ) ) ) ) ) )).
fof(t112_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_xxreal_0(A,B) => k1_funct_1(k16_finseq_1(B,C),A) = k1_funct_1(C,A) ) ) ) ) )).
fof(t112_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,k2_flang_2(A,B),k7_flang_1(A,B,C)) = k1_flang_2(A,B,C,k2_xcmplx_0(C,1)) ) ) )).
fof(t112_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_tarski(A,C) & r1_tarski(B,C) & r1_xboole_0(A,B) ) => r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) ) ) ) ) )).
fof(t112_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_tarski(k3_funct_2(A,B,D,C),k2_relset_1(B,D)) ) ) ) ) )).
fof(t112_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( ( k9_xtuple_0(C) = k1_tarski(B) & k10_xtuple_0(C) = k1_tarski(A) ) => C = k17_funcop_1(B,A) ) ) )).
fof(t112_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_tarski(B,k9_xtuple_0(A)) => k9_xtuple_0(A) = k9_xtuple_0(k1_funct_4(A,k17_funcop_1(B,C))) ) ) )).
fof(t112_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k3_msafree2(k43_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k3_msafree2(k43_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),k3_msafree2(k43_gfacirc1(A,B,C))) & r2_tarski(k45_gfacirc1(A,B,C),k3_msafree2(k43_gfacirc1(A,B,C))) ) )).
fof(t112_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => k3_finseq_1(B) = k1_nat_1(k2_nat_1(2,k15_glib_001(A,B)),1) ) ) )).
fof(t112_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => k13_group_2(A,C,B) = k14_group_2(A,C,B) ) ) ) ) )).
fof(t112_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( v8_struct_0(A) => v1_finset_1(k9_group_3(A,B)) ) ) ) )).
fof(t112_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ! [E] : ( ( v8_group_9(E,A,B) & m2_finseq_1(E,k6_group_9(A,B)) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) & C = k1_funct_1(E,F) & D = k1_funct_1(E,k1_nat_1(F,1)) ) => ( v4_group_9(D,A,C) & m1_group_9(D,A,C) ) ) ) ) ) ) ) )).
fof(t112_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => k4_struct_0(k15_euclid(2)) = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),k4_struct_0(k15_euclid(2))) ) )).
fof(t112_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = H & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & r1_xxreal_0(k17_euclid(C),F) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t112_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) => ( r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,A)),k18_euclid(B)) | r2_tarski(B,k2_goboard9(A)) ) ) ) ) )).
fof(t112_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => k1_vectsp_9(B,k6_prvect_1(B,A)) = A ) ) )).
fof(t112_member_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => k14_member_1(k1_tarski(A),k2_tarski(B,C)) = k2_tarski(k6_xxreal_3(A,B),k6_xxreal_3(A,C)) ) ) ) )).
fof(t112_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( r1_mesfunc5(A,B,C,D) => ( r1_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,F)) & k8_mesfunc5(A,B,C,k6_mesfunc1(A,D,E),F) = k4_xxreal_3(E,k8_mesfunc5(A,B,C,D,F)) ) ) ) ) ) ) ) ) )).
fof(t112_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k3_msafree5(A,k1_msafree3(A,B),D)),D,k4_msafree5(A,k1_msafree3(A,B),k10_msafree4(A,B,C),k5_msafree5(A,B,k10_msafree4(A,B,C)),D)) ) ) ) ) )).
fof(t112_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & v3_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C)) ) => r13_ncfcont1(A,B,C,D) ) ) ) ) )).
fof(t112_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ ( B != k1_pboole(A) & r5_pboole(A,B,B) ) ) )).
fof(t112_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k7_relat_1(B,A) = k7_relat_1(B,k3_xboole_0(k9_xtuple_0(B),A)) ) )).
fof(t112_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k2_numbers) => k20_rvsum_1(k5_finseq_2(k2_numbers,k3_xcmplx_0(A,B),C)) = k20_rvsum_1(k5_finseq_2(k2_numbers,B,k20_rvsum_1(k5_finseq_2(k2_numbers,A,C)))) ) ) ) )).
fof(t112_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k9_scmpds_6(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A)) = k1_nat_1(k4_card_1(C),1) ) ) ) ) ) )).
fof(t112_scmyciel,axiom,( ! [A] : ( ( v4_scmyciel(A) & v11_scmyciel(A) ) => k10_scmyciel(k12_scmyciel(A)) = k2_xcmplx_0(1,k10_scmyciel(A)) ) )).
fof(t112_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => v1_seq_4(k21_seq_4(A,C,B),A) ) ) ) )).
fof(t112_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,D),k5_sheffer1(A,B,k5_sheffer1(A,D,k5_sheffer1(A,C,k5_sheffer1(A,C,C))))) = B ) ) ) ) )).
fof(t112_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k2_sin_cos9))) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),B)) ) ) ) ) => ( r2_tarski(k5_numbers,A) | ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k2_sin_cos9),A),B) = k7_xcmplx_0(1,k2_xcmplx_0(1,k1_square_1(B))) ) ) ) ) ) ) )).
fof(t112_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(k3_square_1(2),A) & ~ ( ~ r1_xxreal_0(k8_sincos10(A),k7_xcmplx_0(k28_sin_cos,4)) & ~ r1_xxreal_0(k7_xcmplx_0(k28_sin_cos,2),k8_sincos10(A)) ) ) ) )).
fof(t112_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_pre_topc(E,A) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_tsep_1(A,D,E))) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ( ( F = G & F = H ) => ( r1_tmap_1(k1_tsep_1(A,D,E),B,k2_tmap_1(A,B,C,k1_tsep_1(A,D,E)),F) <=> ( r1_tmap_1(D,B,k2_tmap_1(A,B,C,D),G) & r1_tmap_1(E,B,k2_tmap_1(A,B,C,E),H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t112_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k5_xboole_0(k3_xboole_0(A,C),k3_xboole_0(B,C)) = k3_xboole_0(k5_xboole_0(A,B),C) )).
fof(t112_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k6_xboolean(k6_xboolean(k2_xboolean,A),A) = k2_xboolean ) )).
fof(t112_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( A != k5_numbers & B != k5_numbers & k3_xcmplx_0(k7_xcmplx_0(A,B),k7_xcmplx_0(B,A)) != 1 ) ) ) )).
fof(t112_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k5_numbers,D) & ~ r1_xxreal_0(k3_xcmplx_0(A,B),k7_xcmplx_0(C,D)) & r1_xxreal_0(k3_xcmplx_0(A,D),k7_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t112_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,C) & r1_tarski(k4_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t112_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(A,k9_zf_lang(A,B))) & r2_zf_model(C,k10_zf_lang(A,k9_zf_lang(A,B))) ) ) ) ) ) )).
fof(t112_zfmisc_1,axiom,( ! [A] : ? [B] : ( r2_tarski(A,B) & ! [C] : ! [D] : ( ( r2_tarski(C,B) & r1_tarski(D,C) ) => r2_tarski(D,B) ) & ! [C] : ( r2_tarski(C,B) => r2_tarski(k1_zfmisc_1(C),B) ) & ! [C] : ~ ( r1_tarski(C,B) & ~ r3_tarski(C,B) & ~ r2_tarski(C,B) ) ) )).
fof(t112_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => k6_zmodul01(A,k7_zmodul01(A,B,C),C) = C ) ) ) )).
fof(t113_abcmiz_1,axiom,( k4_yellow_0(k49_abcmiz_1) = k1_xboole_0 )).
fof(t113_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_absred_0(A,D,E) <=> D = B ) ) ) => ( B = C | ( v2_absred_0(C,A) & v3_absred_0(B,A) ) ) ) ) ) ) )).
fof(t113_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r6_aofa_000(A,B,C,F,D,E) & r6_aofa_000(A,B,C,G,D,E) & r6_aofa_000(A,B,C,H,D,E) & r7_aofa_000(A,B,C,F,D,E) ) => r6_aofa_000(A,B,C,k14_aofa_000(A,F,G,H),D,E) ) ) ) ) ) ) ) ) )).
fof(t113_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k20_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I,J),k12_aofa_l00(A,E,F,k19_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),I,J))),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t113_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k15_margrel1(A,B,k6_bvfunc25(A,B,C)),k11_bvfunc_1(A)) ) ) ) )).
fof(t113_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t113_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v9_clvect_1(B,A) & v9_clvect_1(C,A) ) => v9_clvect_1(k1_normsp_1(A,B,C),A) ) ) ) ) )).
fof(t113_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [J] : ( v1_xreal_0(J) => ( ( r1_fdiff_1(A,J) & r1_fdiff_1(B,J) & r1_fdiff_1(C,J) & r1_fdiff_1(D,J) & r1_fdiff_1(E,J) & r1_fdiff_1(F,J) & r1_fdiff_1(G,J) & r1_fdiff_1(H,J) & r1_fdiff_1(I,J) ) => k8_euclid_8(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,B),F),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,C),E)),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,C),D),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,G,A),F)),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,G,A),E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,B),D)),J) = k7_euclid(3,k7_euclid(3,k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H,J),k1_funct_1(B,J)),k1_fdiff_1(F,J)),k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I,J),k1_funct_1(C,J)),k1_fdiff_1(E,J))),k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I,J),k1_funct_1(C,J)),k1_fdiff_1(D,J)),k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,J),k1_funct_1(A,J)),k1_fdiff_1(F,J))),k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,J),k1_funct_1(A,J)),k1_fdiff_1(E,J)),k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H,J),k1_funct_1(B,J)),k1_fdiff_1(D,J)))),k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H,J),k1_fdiff_1(B,J)),k1_funct_1(F,J)),k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I,J),k1_fdiff_1(C,J)),k1_funct_1(E,J))),k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(I,J),k1_fdiff_1(C,J)),k1_funct_1(D,J)),k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,J),k1_fdiff_1(A,J)),k1_funct_1(F,J))),k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,J),k1_fdiff_1(A,J)),k1_funct_1(E,J)),k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(H,J),k1_fdiff_1(B,J)),k1_funct_1(D,J))))),k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(H,J),k1_funct_1(B,J)),k1_funct_1(F,J)),k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(I,J),k1_funct_1(C,J)),k1_funct_1(E,J))),k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(I,J),k1_funct_1(C,J)),k1_funct_1(D,J)),k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(G,J),k1_funct_1(A,J)),k1_funct_1(F,J))),k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(G,J),k1_funct_1(A,J)),k1_funct_1(E,J)),k3_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(H,J),k1_funct_1(B,J)),k1_funct_1(D,J))))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t113_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_euclid(A)),k1_euclidlp(A)) => ( ( r7_euclidlp(A,B,C) & v1_euclid_4(B,A) & v1_euclid_4(C,A) & r1_xboole_0(B,C) ) => r5_euclidlp(A,B,C) ) ) ) ) )).
fof(t113_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => m2_finseq_2(k1_partfun1(k4_ordinal1,B,B,C,D,E),C,k4_finseq_2(A,C)) ) ) ) ) ) )).
fof(t113_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_tarski(A,B) => k16_finseq_1(k3_finseq_1(A),B) = A ) ) ) )).
fof(t113_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k4_finseq_5(A,k3_finseq_6(A,B,C,D)) = k3_finseq_6(A,k4_finseq_5(A,B),k1_nat_1(k7_nat_d(k3_finseq_1(B),D),1),k1_nat_1(k7_nat_d(k3_finseq_1(B),C),1)) ) ) ) ) ) )).
fof(t113_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k1_flang_2(A,k2_flang_2(A,B),C,D),k8_flang_1(A,B)) ) ) ) )).
fof(t113_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k6_relat_1(A,B) = k5_relat_1(B,k8_relat_1(B,A)) ) )).
fof(t113_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ~ ( r2_hidden(A,k2_relset_1(C,D)) & ! [E] : ( m1_subset_1(E,B) => A != k1_funct_1(D,E) ) ) ) )).
fof(t113_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k1_funct_1(k1_funct_4(A,k17_funcop_1(C,B)),C) = B ) )).
fof(t113_funct_7,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) & B = k2_funct_7(k4_numbers,k2_funct_7(k4_numbers,A,C,k7_partfun1(k4_numbers,A,D)),D,k7_partfun1(k4_numbers,A,C)) ) => ( k1_funct_1(A,C) = k1_funct_1(B,D) & k1_funct_1(A,D) = k1_funct_1(B,C) & ! [E] : ( r2_tarski(E,k4_finseq_1(A)) => ( E = C | E = D | k1_funct_1(A,E) = k1_funct_1(B,E) ) ) & r2_classes1(A,B) ) ) ) ) ) ) )).
fof(t113_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & ~ ( r2_tarski(A,k2_msafree2(k43_gfacirc1(A,B,C))) & r2_tarski(B,k2_msafree2(k43_gfacirc1(A,B,C))) & r2_tarski(C,k2_msafree2(k43_gfacirc1(A,B,C))) ) ) )).
fof(t113_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k3_finseq_1(B) = k3_finseq_1(C) <=> k15_glib_001(A,B) = k15_glib_001(A,C) ) ) ) ) )).
fof(t113_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( r1_struct_0(C,B) <=> k13_group_2(A,C,B) = k8_group_2(A,C) ) ) ) ) )).
fof(t113_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ( r5_group_3(A,C,B) <=> r4_group_3(A,k8_group_2(A,C),k8_group_2(A,B)) ) ) ) ) )).
fof(t113_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => r5_group_9(A,B,B,C,C) ) ) )).
fof(t113_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(B,k7_xcmplx_0(k17_euclid(A),k12_euclid(A))) => ( r1_xxreal_0(k5_numbers,k18_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B))),k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B)))))))) ) ) & ( r1_xxreal_0(k5_numbers,k18_euclid(A)) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(B),A) = A ) ) ) ) )).
fof(t113_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = H & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & r1_xxreal_0(k17_euclid(C),F) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t113_jordan2c,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k20_pscomp_1(k3_topreal1(2,A)) => ( r1_xxreal_0(k18_euclid(B),k7_pscomp_1(k3_topreal1(2,A))) | r2_tarski(B,k2_goboard9(A)) ) ) ) ) )).
fof(t113_member_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => k14_member_1(k2_tarski(A,B),k1_tarski(C)) = k2_tarski(k6_xxreal_3(A,C),k6_xxreal_3(B,C)) ) ) ) )).
fof(t113_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k2_msualg_1(A,D)),k7_msafree5(A,B,D,E),k1_msafree4(k3_msualg_1(A,D,k10_msafree4(A,B,C)),k5_msualg_1(A,D,k10_msafree4(A,B,C)),k5_msualg_3(A,k1_msafree3(A,B),k10_msafree4(A,B,C),D,k5_msafree5(A,B,k10_msafree4(A,B,C)),E))) ) ) ) ) ) )).
fof(t113_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & v3_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C)) ) => r14_ncfcont1(A,B,C,D) ) ) ) ) )).
fof(t113_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r2_pboole(A,B,C) & r2_pboole(A,B,D) & r5_pboole(A,C,D) ) => r6_pboole(A,B,k1_pboole(A)) ) ) ) ) )).
fof(t113_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k7_relat_1(A,k9_xtuple_0(A)) = k10_xtuple_0(A) ) )).
fof(t113_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( m1_subset_1(C,k2_numbers) => k19_rvsum_1(k2_finseq_2(A,k3_xcmplx_0(B,C))) = k3_xcmplx_0(k20_rvsum_1(k5_finseq_2(k2_numbers,A,B)),k20_rvsum_1(k5_finseq_2(k2_numbers,A,C))) ) ) ) )).
fof(t113_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F))) => k1_funct_1(k6_scmpds_4(k9_scmpds_6(D,F,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),E) = k1_funct_1(k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),E) ) ) ) ) ) ) ) )).
fof(t113_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => k1_funct_1(k13_scmyciel(A),k5_numbers) = A ) )).
fof(t113_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(B,C) ) ) => ( A = k1_xboole_0 | r1_xxreal_0(B,k3_seq_4(A)) ) ) ) ) )).
fof(t113_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,k5_sheffer1(A,C,k5_sheffer1(A,C,C)))),k5_sheffer1(A,B,D)) = B ) ) ) ) )).
fof(t113_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos9))) & E = k3_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k26_valued_1(k1_numbers,k1_numbers,G,C)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,D) => ( ~ r1_xxreal_0(k1_funct_1(E,H),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(E,H)) ) ) ) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,D) => k1_funct_1(F,H) = k2_xcmplx_0(A,k3_xcmplx_0(B,H)) ) ) & G = k1_taylor_1(2) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k26_valued_1(k1_numbers,k1_numbers,G,C)),k1_sin_cos9),D) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k26_valued_1(k1_numbers,k1_numbers,G,C)),k1_sin_cos9),D),H) = k7_xcmplx_0(k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),H)),k2_xcmplx_0(1,k1_square_1(k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,H)),k3_xcmplx_0(C,k1_square_1(H)))))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t113_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) ) => ( k1_funct_1(k16_sin_cos,k5_sincos10(A)) = k7_xcmplx_0(k3_square_1(k6_xcmplx_0(k1_square_1(A),1)),A) & k1_funct_1(k18_sin_cos,k5_sincos10(A)) = k7_xcmplx_0(1,A) ) ) ) )).
fof(t113_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_pre_topc(E,A) ) => ( A = k1_tsep_1(A,D,E) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ( ( F = G & F = H ) => ( r1_tmap_1(A,B,C,F) <=> ( r1_tmap_1(D,B,k2_tmap_1(A,B,C,D),G) & r1_tmap_1(E,B,k2_tmap_1(A,B,C,E),H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t113_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) = k2_xboole_0(A,k2_xboole_0(k2_xboole_0(B,C),D)) )).
fof(t113_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ( k6_xboolean(A,B) = k2_xboolean => k6_xboolean(k6_xboolean(B,C),k6_xboolean(A,C)) = k2_xboolean ) ) ) ) )).
fof(t113_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( B != k5_numbers => k2_xcmplx_0(k7_xcmplx_0(A,B),C) = k7_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,C)),B) ) ) ) ) )).
fof(t113_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k3_xcmplx_0(A,B),k7_xcmplx_0(C,D)) & r1_xxreal_0(k3_xcmplx_0(A,D),k7_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t113_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k4_xxreal_1(C,D),k1_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t113_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(B,k9_zf_lang(A,B))) & r2_zf_model(C,k10_zf_lang(B,k9_zf_lang(A,B))) ) ) ) ) ) )).
fof(t113_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( r2_hidden(A,k2_zfmisc_1(B,D)) & r2_hidden(A,k2_zfmisc_1(C,E)) ) => r2_hidden(A,k2_zfmisc_1(k3_xboole_0(B,C),k3_xboole_0(D,E))) ) )).
fof(t113_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => k7_zmodul01(A,C,k6_zmodul01(A,C,B)) = C ) ) ) )).
fof(t114_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v13_abcmiz_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k1_funct_1(B,C) = k1_xboole_0 & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k2_msualg_1(A,D) != C ) ) ) ) ) ) )).
fof(t114_absred_0,axiom,( ? [A] : ( l1_absred_0(A) & v4_absred_0(A) & ~ v5_absred_0(A) ) )).
fof(t114_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_aofa_000(E,A,B,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r5_aofa_000(A,B,C,F,E) & r5_aofa_000(A,B,C,G,E) & r4_aofa_000(A,k13_aofa_000(A,G,F),B,k2_binop_1(B,u1_struct_0(A),B,E,D,F),C,E) ) => r2_hidden(k4_tarski(D,k16_aofa_000(A,F,G)),k21_aofa_000(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t114_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => r2_tarski(k15_aofa_l00(A,E,F,H,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I)),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t114_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,k6_bvfunc25(A,B,C)),k5_bvfunc_1(A,B,k14_margrel1(A,C))) ) ) ) )).
fof(t114_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t114_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v9_clvect_1(B,A) & v9_clvect_1(C,A) ) => v9_clvect_1(k2_normsp_1(A,B,C),A) ) ) ) ) )).
fof(t114_euclid_8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [J] : ( v1_xreal_0(J) => ( ( r1_fdiff_1(A,J) & r1_fdiff_1(B,J) & r1_fdiff_1(C,J) & r1_fdiff_1(D,J) & r1_fdiff_1(E,J) & r1_fdiff_1(F,J) & r1_fdiff_1(G,J) & r1_fdiff_1(H,J) & r1_fdiff_1(I,J) ) => k8_euclid_8(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,D))),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,F)))),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,I,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,F),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,E))),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,G,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,D)))),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,G,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,F))),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,H,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,F),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,E)))),J) = k7_euclid(3,k7_euclid(3,k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,J),k1_fdiff_1(E,J)),k3_xcmplx_0(k1_funct_1(B,J),k1_fdiff_1(D,J)))),k3_xcmplx_0(k1_funct_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,J),k1_fdiff_1(D,J)),k3_xcmplx_0(k1_funct_1(A,J),k1_fdiff_1(F,J))))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,J),k1_fdiff_1(F,J)),k3_xcmplx_0(k1_funct_1(C,J),k1_fdiff_1(E,J)))),k3_xcmplx_0(k1_funct_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,J),k1_fdiff_1(E,J)),k3_xcmplx_0(k1_funct_1(B,J),k1_fdiff_1(D,J))))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,J),k1_fdiff_1(D,J)),k3_xcmplx_0(k1_funct_1(A,J),k1_fdiff_1(F,J)))),k3_xcmplx_0(k1_funct_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,J),k1_fdiff_1(F,J)),k3_xcmplx_0(k1_funct_1(C,J),k1_fdiff_1(E,J)))))),k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A,J),k1_funct_1(E,J)),k3_xcmplx_0(k1_fdiff_1(B,J),k1_funct_1(D,J)))),k3_xcmplx_0(k1_funct_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C,J),k1_funct_1(D,J)),k3_xcmplx_0(k1_fdiff_1(A,J),k1_funct_1(F,J))))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B,J),k1_funct_1(F,J)),k3_xcmplx_0(k1_fdiff_1(C,J),k1_funct_1(E,J)))),k3_xcmplx_0(k1_funct_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(A,J),k1_funct_1(E,J)),k3_xcmplx_0(k1_fdiff_1(B,J),k1_funct_1(D,J))))),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(C,J),k1_funct_1(D,J)),k3_xcmplx_0(k1_fdiff_1(A,J),k1_funct_1(F,J)))),k3_xcmplx_0(k1_funct_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B,J),k1_funct_1(F,J)),k3_xcmplx_0(k1_fdiff_1(C,J),k1_funct_1(E,J))))))),k1_euclid_8(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,J),k1_funct_1(E,J)),k3_xcmplx_0(k1_funct_1(B,J),k1_funct_1(D,J)))),k3_xcmplx_0(k1_fdiff_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,J),k1_funct_1(D,J)),k3_xcmplx_0(k1_funct_1(A,J),k1_funct_1(F,J))))),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(I,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,J),k1_funct_1(F,J)),k3_xcmplx_0(k1_funct_1(C,J),k1_funct_1(E,J)))),k3_xcmplx_0(k1_fdiff_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(A,J),k1_funct_1(E,J)),k3_xcmplx_0(k1_funct_1(B,J),k1_funct_1(D,J))))),k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(G,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,J),k1_funct_1(D,J)),k3_xcmplx_0(k1_funct_1(A,J),k1_funct_1(F,J)))),k3_xcmplx_0(k1_fdiff_1(H,J),k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,J),k1_funct_1(F,J)),k3_xcmplx_0(k1_funct_1(C,J),k1_funct_1(E,J))))))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t114_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_euclid(A)),k5_euclidlp(A)) => ~ ( r2_tarski(B,F) & r2_tarski(C,F) & r2_tarski(D,F) & r2_tarski(E,F) & r3_euclidlp(A,k8_euclid(A,C,B),k8_euclid(A,E,D)) & r1_xboole_0(k2_euclid_4(A,B,C),k2_euclid_4(A,D,E)) ) ) ) ) ) ) ) )).
fof(t114_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_finseq_1(A),k1_finseq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A),k1_finseq_1(A)))) ) => ( k10_xtuple_0(D) = k1_finseq_1(A) => m2_finseq_2(k1_partfun1(k1_finseq_1(A),k1_finseq_1(A),k4_ordinal1,B,D,C),B,k4_finseq_2(A,B)) ) ) ) ) ) )).
fof(t114_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_funct_1(k8_finseq_1(k4_ordinal1,k14_finseq_1(k8_relat_1(B,A)),k14_finseq_1(k8_relat_1(B,k6_subset_1(k10_xtuple_0(B),A))))) & v1_funct_2(k8_finseq_1(k4_ordinal1,k14_finseq_1(k8_relat_1(B,A)),k14_finseq_1(k8_relat_1(B,k6_subset_1(k10_xtuple_0(B),A)))),k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(k8_finseq_1(k4_ordinal1,k14_finseq_1(k8_relat_1(B,A)),k14_finseq_1(k8_relat_1(B,k6_subset_1(k10_xtuple_0(B),A)))),k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(k8_finseq_1(k4_ordinal1,k14_finseq_1(k8_relat_1(B,A)),k14_finseq_1(k8_relat_1(B,k6_subset_1(k10_xtuple_0(B),A)))),k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) ) )).
fof(t114_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,A) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k2_xcmplx_0(C,B),k3_finseq_1(D)) ) => k1_funct_1(k2_rfinseq(A,B,D),C) = k1_funct_1(D,k2_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t114_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k2_flang_2(A,k1_flang_2(A,B,C,D)),k8_flang_1(A,B)) ) ) ) )).
fof(t114_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(k10_xtuple_0(A),k10_xtuple_0(B)) => ! [C] : ~ ( r2_hidden(C,k9_xtuple_0(A)) & ! [D] : ~ ( r2_hidden(D,k9_xtuple_0(B)) & k1_funct_1(A,C) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(t114_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ! [E] : ( m1_subset_1(E,B) => r2_tarski(k3_funct_2(B,C,D,E),A) ) => r1_tarski(k2_relset_1(C,D),A) ) ) ) ) )).
fof(t114_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : k1_funct_4(k1_funct_4(C,k17_funcop_1(D,A)),k17_funcop_1(D,B)) = k1_funct_4(C,k17_funcop_1(D,B)) ) )).
fof(t114_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ~ ( B != D & B != F & k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(A,k17_funcop_1(B,C)),k17_funcop_1(D,E)),k17_funcop_1(F,G)),B) != C ) ) )).
fof(t114_gfacirc1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => k2_msafree2(k43_gfacirc1(A,B,C)) = k1_enumset1(A,B,C) ) ) ) )).
fof(t114_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( C = D => k15_glib_001(A,C) = k15_glib_001(B,D) ) ) ) ) ) )).
fof(t114_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => ( k13_group_2(A,D,B) = k13_group_2(A,D,C) <=> r1_struct_0(D,k6_algstr_0(A,k2_group_1(A,C),B)) ) ) ) ) ) )).
fof(t114_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_group_3(k6_group_2(A),A) & v1_group_3(k7_group_2(A),A) ) ) )).
fof(t114_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ( r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(D)) => ( ( ~ r1_xxreal_0(k3_finseq_1(C),1) & ~ r1_xxreal_0(k3_finseq_1(D),1) ) | r4_group_9(A,B,D,C) ) ) ) ) ) )).
fof(t114_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B) => ( r1_xxreal_0(k5_numbers,k18_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B))),k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B)))))))) ) ) ) ) )).
fof(t114_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(B),F) & r1_xxreal_0(G,k18_euclid(D)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(k18_euclid(C),H) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t114_jordan2c,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r3_connsp_1(A,B,C) => v2_connsp_1(C,A) ) ) ) ) )).
fof(t114_member_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => k14_member_1(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(k6_xxreal_3(A,C),k6_xxreal_3(A,D),k6_xxreal_3(B,C),k6_xxreal_3(B,D)) ) ) ) ) )).
fof(t114_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v3_msualg_6(C,A,k1_msafree3(A,B)) & v4_msualg_6(C,A,k1_msafree3(A,B)) & v12_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v13_msafree4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))) & v14_msafree4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B))) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B))),k3_msualg_1(A,D,k1_msafree3(A,B))) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k10_msafree4(A,B,C))),k3_msualg_1(A,D,k10_msafree4(A,B,C))) => ( E = F => r1_rewrite1(k7_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),C,k2_msualg_1(A,D)),k7_msafree5(A,B,D,E),k1_msafree4(k3_msualg_1(A,D,k10_msafree4(A,B,C)),k5_msualg_1(A,D,k10_msafree4(A,B,C)),F)) ) ) ) ) ) ) ) )).
fof(t114_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( r1_tarski(C,k1_relset_1(u1_struct_0(B),D)) & v3_funct_1(k2_partfun1(u1_struct_0(B),u1_struct_0(A),D,C)) ) => r15_ncfcont1(B,A,C,D) ) ) ) ) )).
fof(t114_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ( r6_pboole(A,k2_pboole(A,D,E),k2_pboole(A,B,C)) & r5_pboole(A,B,D) & r5_pboole(A,C,E) ) => ( r6_pboole(A,B,E) & r6_pboole(A,C,D) ) ) ) ) ) ) )).
fof(t114_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k7_relat_1(B,A),k7_relat_1(B,k9_xtuple_0(B))) ) )).
fof(t114_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k3_finseq_1(k6_rvsum_1(A)) = k3_finseq_1(A) ) )).
fof(t114_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F))) => k1_funct_1(k6_scmpds_4(k9_scmpds_6(D,F,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),E) = k1_funct_1(B,E) ) ) ) ) ) ) ) )).
fof(t114_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( v7_ordinal1(B) => v4_scmyciel(k1_funct_1(k13_scmyciel(A),B)) ) ) )).
fof(t114_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( C != k1_xboole_0 => r1_xxreal_0(k5_numbers,k22_seq_4(A,B,C)) ) ) ) ) )).
fof(t114_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),D),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B)),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B))) ) ) ) ) )).
fof(t114_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k2_sin_cos9))) & E = k3_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k26_valued_1(k1_numbers,k1_numbers,G,C)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,D) => ( ~ r1_xxreal_0(k1_funct_1(E,H),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(E,H)) ) ) ) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,D) => k1_funct_1(F,H) = k2_xcmplx_0(A,k3_xcmplx_0(B,H)) ) ) & G = k1_taylor_1(2) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k26_valued_1(k1_numbers,k1_numbers,G,C)),k2_sin_cos9),D) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k26_valued_1(k1_numbers,k1_numbers,G,C)),k2_sin_cos9),D),H) = k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),H)),k2_xcmplx_0(1,k1_square_1(k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,H)),k3_xcmplx_0(C,k1_square_1(H))))))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t114_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) ) => ( k1_funct_1(k16_sin_cos,k6_sincos10(A)) = k4_xcmplx_0(k7_xcmplx_0(k3_square_1(k6_xcmplx_0(k1_square_1(A),1)),A)) & k1_funct_1(k18_sin_cos,k6_sincos10(A)) = k7_xcmplx_0(1,A) ) ) ) )).
fof(t114_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( r4_tsep_1(A,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) => ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(E,k1_tsep_1(A,C,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) <=> ( v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E)) & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),C,B) & m1_subset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E)) & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),D,B) & m1_subset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t114_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_xboole_0(A,D) & r1_xboole_0(B,D) & r1_xboole_0(C,D) ) => r1_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) ) )).
fof(t114_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( k6_xboolean(A,k6_xboolean(A,B)) = k2_xboolean => k6_xboolean(A,B) = k2_xboolean ) ) ) )).
fof(t114_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k2_xcmplx_0(A,B) = k3_xcmplx_0(C,k2_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C))) ) ) ) ) )).
fof(t114_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(C,D),k3_xcmplx_0(A,B)) & r1_xxreal_0(k3_xcmplx_0(A,D),k7_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t114_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k2_xxreal_1(C,D),k1_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t114_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k9_zf_lang(A,B),k9_zf_lang(B,A))) & r2_zf_model(C,k10_zf_lang(k9_zf_lang(A,B),k9_zf_lang(B,A))) ) ) ) ) ) )).
fof(t114_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) => ( k2_zfmisc_1(A,B) = k1_xboole_0 | ( r1_tarski(A,C) & r1_tarski(B,D) ) ) ) )).
fof(t114_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => m1_zmodul01(k6_zmodul01(A,k7_zmodul01(A,B,C),k7_zmodul01(A,C,D)),k7_zmodul01(A,C,k6_zmodul01(A,B,D))) ) ) ) ) )).
fof(t115_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_lang1(B) ) => ( r1_relset_1(u1_struct_0(A),k3_finseq_2(u1_struct_0(A)),u1_lang1(A),u1_lang1(B)) => ( r1_tarski(k52_abcmiz_1(A),k52_abcmiz_1(B)) & r1_tarski(k9_subset_1(u1_struct_0(B),u1_struct_0(A),k51_abcmiz_1(B)),k51_abcmiz_1(A)) & ( r1_tarski(k51_abcmiz_1(A),k51_abcmiz_1(B)) => r1_tarski(u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) )).
fof(t115_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) & v2_absred_0(B,A) & r7_absred_0(A,B,C) ) => r3_absred_0(A,C,B) ) ) ) ) )).
fof(t115_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_aofa_000(E,A,B,C) => ! [F] : ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r6_aofa_000(A,B,C,G,E,F) & r6_aofa_000(A,B,C,H,E,F) & r7_aofa_000(A,B,C,G,E,F) & r7_aofa_000(A,B,C,H,E,F) & r4_aofa_000(A,k13_aofa_000(A,H,G),B,k2_binop_1(B,u1_struct_0(A),B,E,D,G),C,E) & r2_tarski(D,F) ) => r2_hidden(k4_tarski(D,k16_aofa_000(A,G,H)),k21_aofa_000(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t115_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [H] : ( m1_subset_1(H,k4_aofa_l00(B,C,D)) => ( v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => ! [I] : ( m1_subset_1(I,u1_struct_0(E)) => ~ ( r2_tarski(H,k1_funct_1(D,I)) & r2_hidden(H,k1_msafree4(u1_struct_0(E),k10_aofa_a00(E,F,u1_aofa_l00(E),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,G,H)),I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t115_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k6_bvfunc_1(A,B,k6_bvfunc25(A,B,C)),k5_bvfunc_1(A,B,k14_margrel1(A,C))) ) ) ) )).
fof(t115_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),k5_bvfunc_1(A,B,D)) ) ) ) ) )).
fof(t115_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v9_clvect_1(C,A) => v9_clvect_1(k3_normsp_1(A,C,B),A) ) ) ) ) )).
fof(t115_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_finseq_1(A),k1_finseq_1(A)) & v3_funct_2(D,k1_finseq_1(A),k1_finseq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A),k1_finseq_1(A)))) ) => ( v3_card_1(k1_partfun1(k1_finseq_1(A),k1_finseq_1(A),k4_ordinal1,B,D,C),A) & m2_finseq_1(k1_partfun1(k1_finseq_1(A),k1_finseq_1(A),k4_ordinal1,B,D,C),B) ) ) ) ) ) )).
fof(t115_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k10_xtuple_0(A))) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k1_relset_1(k4_ordinal1,A),k1_relset_1(k4_ordinal1,A)) & v3_funct_2(C,k1_relset_1(k4_ordinal1,A),k1_relset_1(k4_ordinal1,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,A),k1_relset_1(k4_ordinal1,A)))) & k7_finseq_1(k1_finseq_3(A,k3_subset_1(k10_xtuple_0(A),B)),k1_finseq_3(A,B)) = k3_relat_1(C,A) ) ) ) )).
fof(t115_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,A) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(C)) ) => k1_funct_1(k4_finseq_5(A,C),B) = k1_funct_1(C,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(C),B),1)) ) ) ) ) )).
fof(t115_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => k2_flang_2(A,B) = k2_flang_2(A,k7_subset_1(k8_afinsq_1(A),B,k4_flang_1(A,k2_flang_1(A)))) ) )).
fof(t115_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [F] : ( m1_subset_1(F,A) => ( v1_partfun1(E,B) => k3_funct_2(A,C,k8_funct_2(A,C,B,D,E),F) = k1_funct_1(E,k3_funct_2(A,B,D,F)) ) ) ) ) ) ) )).
fof(t115_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) => k1_funct_4(k1_funct_4(k1_funct_4(A,B),C),B) = k1_funct_4(k1_funct_4(A,B),C) ) ) ) ) )).
fof(t115_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_tarski(D,B) => ( v1_funct_1(k1_funct_7(E,C,D)) & v1_funct_2(k1_funct_7(E,C,D),A,B) & m1_subset_1(k1_funct_7(E,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) )).
fof(t115_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k6_circuit2(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k6_twoscomp)) = k9_margrel1(k8_margrel1(E),k8_margrel1(F)) & k1_funct_1(k6_circuit2(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D),k4_tarski(k10_finseq_1(B,C),k6_twoscomp)) = k9_margrel1(k8_margrel1(F),k8_margrel1(G)) & k1_funct_1(k6_circuit2(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)) = k9_margrel1(k8_margrel1(G),k8_margrel1(E)) ) ) ) ) ) ) )).
fof(t115_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( r1_xxreal_0(k16_glib_001(A,B,k1_funct_1(B,C)),C) & r1_xxreal_0(C,k18_glib_001(A,B,k1_funct_1(B,C))) ) ) ) ) ) )).
fof(t115_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => ( k13_group_2(A,D,B) = k13_group_2(A,D,C) <=> ~ r1_xboole_0(k13_group_2(A,D,B),k13_group_2(A,D,C)) ) ) ) ) ) )).
fof(t115_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & v1_group_3(C,A) & m1_group_2(C,A) ) => v1_group_3(k10_group_2(A,B,C),A) ) ) ) )).
fof(t115_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ( ( r5_group_9(A,B,B,C,D) & v10_group_9(C,A,B) ) => v10_group_9(D,A,B) ) ) ) ) )).
fof(t115_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,B) & ~ ( ( ( r1_xxreal_0(B,k7_xcmplx_0(k17_euclid(A),k12_euclid(A))) & r1_xxreal_0(k18_euclid(A),k5_numbers) ) => ( A = k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B))),k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B)))))))) ) ) & ( ( r1_xxreal_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B) & r1_xxreal_0(k18_euclid(A),k5_numbers) ) => ( A = k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B))),k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B)))))))) ) ) ) ) ) ) )).
fof(t115_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(B),F) & r1_xxreal_0(G,k18_euclid(D)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(k18_euclid(C),H) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t115_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r1_jordan2c(A,B,C) => v2_connsp_1(C,k15_euclid(A)) ) ) ) ) )).
fof(t115_matrix13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ( v1_vectsp_7(D,A,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( ( r2_tarski(E,D) & r2_tarski(F,D) ) => ( E = F | v1_vectsp_7(k4_subset_1(u1_struct_0(C),k7_subset_1(u1_struct_0(C),D,k6_domain_1(u1_struct_0(C),E)),k6_domain_1(u1_struct_0(C),k3_rlvect_1(C,E,k3_vectsp_1(A,C,B,F)))),A,C) ) ) ) ) ) ) ) ) ) )).
fof(t115_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k15_member_1(A,B) = a_2_7_member_1(A,B) ) ) )).
fof(t115_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v5_msafree5(C) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( ( v8_msafree5(E,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => r1_rewrite1(k3_msualg_6(A),B,k3_msafree5(A,k1_msafree3(A,C),E)) ) ) ) ) ) )).
fof(t115_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r13_ncfcont1(A,A,B,k1_partfun2(u1_struct_0(A),B)) ) ) )).
fof(t115_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r5_pboole(A,B,C) => r6_pboole(A,k4_pboole(A,B,C),B) ) ) ) )).
fof(t115_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k10_xtuple_0(k5_relat_1(B,A)) = k7_relat_1(B,A) ) )).
fof(t115_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k3_finseq_1(k4_rvsum_1(A,B)) = k3_finseq_1(A) ) ) ) )).
fof(t115_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k4_card_1(k10_scmpds_6(A,B,C)) = k1_nat_1(k4_card_1(C),2) ) ) ) )).
fof(t115_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( v4_scmyciel(B) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k13_scmyciel(A),k1_nat_1(C,1)) = k12_scmyciel(k1_funct_1(k13_scmyciel(A),C)) ) ) ) )).
fof(t115_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) => ( D != k1_xboole_0 => r1_xxreal_0(k22_seq_4(A,k13_seq_4(A,B,C),D),k2_xcmplx_0(k22_seq_4(A,B,D),k20_seq_4(C))) ) ) ) ) ) )).
fof(t115_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,C)),k5_sheffer1(A,D,B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,D,B))) ) ) ) ) )).
fof(t115_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_sin_cos9))) & ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & r1_xxreal_0(1,k1_funct_1(k22_sin_cos,B)) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_sin_cos9),A),B) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k2_xcmplx_0(1,k1_square_1(k1_funct_1(k22_sin_cos,B)))) ) ) ) ) ) )).
fof(t115_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k4_xcmplx_0(k3_square_1(2)),A) & r1_xxreal_0(A,k4_xcmplx_0(1)) ) => ( k1_funct_1(k16_sin_cos,k7_sincos10(A)) = k7_xcmplx_0(1,A) & k1_funct_1(k18_sin_cos,k7_sincos10(A)) = k4_xcmplx_0(k7_xcmplx_0(k3_square_1(k6_xcmplx_0(k1_square_1(A),1)),A)) ) ) ) )).
fof(t115_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) => ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(E,k1_tsep_1(A,C,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) <=> ( v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E)) & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),C,B) & m1_subset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E)) & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),D,B) & m1_subset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) ) ) ) ) ) ) )).
fof(t115_xboole_1,axiom,( ! [A] : ~ r2_xboole_0(A,k1_xboole_0) )).
fof(t115_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ( k6_xboolean(A,k6_xboolean(B,C)) = k2_xboolean => k6_xboolean(k6_xboolean(A,B),k6_xboolean(A,C)) = k2_xboolean ) ) ) ) )).
fof(t115_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k2_xcmplx_0(A,B) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)),C) ) ) ) ) )).
fof(t115_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k5_numbers,D) & ~ r1_xxreal_0(k7_xcmplx_0(C,D),k3_xcmplx_0(A,B)) & r1_xxreal_0(k3_xcmplx_0(A,D),k7_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t115_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k3_xxreal_1(C,D),k1_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t115_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( r1_zf_model(B,C,k10_zf_lang(A,k9_zf_lang(A,A))) & r2_zf_model(B,k10_zf_lang(A,k9_zf_lang(A,A))) ) ) ) ) )).
fof(t115_zfmisc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( ( r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) | r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C)) ) => r1_tarski(B,D) ) ) )).
fof(t115_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( m1_zmodul01(B,C) => k7_zmodul01(A,C,k6_zmodul01(A,B,D)) = k6_zmodul01(A,k7_zmodul01(A,B,C),k7_zmodul01(A,C,D)) ) ) ) ) ) )).
fof(t116_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_lang1(B) ) => ( ( r1_tarski(k51_abcmiz_1(A),k51_abcmiz_1(B)) & r1_relset_1(u1_struct_0(A),k3_finseq_2(u1_struct_0(A)),u1_lang1(A),u1_lang1(B)) ) => r1_tarski(k4_dtconstr(A),k4_dtconstr(B)) ) ) ) )).
fof(t116_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r9_absred_0(A,C,B) & r9_absred_0(A,D,B) ) => ( C = D | r4_absred_0(A,B,C) ) ) ) ) ) ) )).
fof(t116_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_aofa_000(E,A,B,C) => ! [F] : ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r5_aofa_000(A,B,C,G,E) & r6_aofa_000(A,B,C,H,E,F) & r7_aofa_000(A,B,C,G,E,F) & ! [I] : ( m1_subset_1(I,B) => ( ( r2_tarski(I,F) & r2_tarski(k2_binop_1(B,u1_struct_0(A),B,E,k2_binop_1(B,u1_struct_0(A),B,E,I,H),G),C) ) => r2_tarski(k2_binop_1(B,u1_struct_0(A),B,E,I,H),F) ) ) & r4_aofa_000(A,k13_aofa_000(A,H,G),B,k2_binop_1(B,u1_struct_0(A),B,E,D,G),C,E) & r2_tarski(D,F) ) => r2_hidden(k4_tarski(D,k16_aofa_000(A,G,H)),k21_aofa_000(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t116_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [H] : ( m1_subset_1(H,k4_aofa_l00(B,C,D)) => ( v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => ! [I] : ( m1_subset_1(I,u1_struct_0(E)) => ~ ( r2_tarski(H,k1_funct_1(D,I)) & r2_hidden(H,k1_msafree4(u1_struct_0(E),k10_aofa_a00(E,F,u1_aofa_l00(E),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,G,H)),I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t116_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,k6_bvfunc25(A,B,C)),k15_margrel1(A,k14_margrel1(A,B),C)) ) ) ) )).
fof(t116_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,B,C),k2_bvfunc_1(A,D,E)),k5_bvfunc_1(A,B,D)) ) ) ) ) ) )).
fof(t116_clvect_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( v9_clvect_1(C,B) => v9_clvect_1(k6_clvect_1(B,C,A),B) ) ) ) ) )).
fof(t116_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k15_finseq_1(A) = A ) ) )).
fof(t116_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k3_finseq_6(A,B,1,C) = k17_finseq_1(A,C,B) ) ) ) ) )).
fof(t116_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( r1_tarski(B,k2_flang_2(A,C)) => r1_tarski(k2_flang_2(A,B),k2_flang_2(A,C)) ) ) ) )).
fof(t116_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [F] : ( m1_subset_1(F,A) => ( v1_partfun1(E,B) => k3_funct_2(A,C,k8_funct_2(A,C,B,D,E),F) = k7_partfun1(C,E,k3_funct_2(A,B,D,F)) ) ) ) ) ) ) )).
fof(t116_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(C)) & r1_tarski(A,k1_funct_4(B,C)) ) => r1_tarski(A,B) ) ) ) ) )).
fof(t116_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( r1_tarski(k10_xtuple_0(B),A) => k6_funct_4(B,C,D) = k3_relat_1(B,k1_funct_7(k6_partfun1(A),C,D)) ) ) )).
fof(t116_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,k4_tarski(k10_finseq_1(A,B),k6_twoscomp)) & F = k1_funct_1(D,k4_tarski(k10_finseq_1(B,C),k6_twoscomp)) & G = k1_funct_1(D,k4_tarski(k10_finseq_1(C,A),k6_twoscomp)) ) => k1_twoscomp(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),k6_circuit2(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D),k45_gfacirc1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(E,F),G)) ) ) ) ) ) )).
fof(t116_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ! [E] : ( C = D => ( k16_glib_001(A,C,E) = k16_glib_001(B,D,E) & k18_glib_001(A,C,E) = k18_glib_001(B,D,E) ) ) ) ) ) ) )).
fof(t116_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => r1_tarski(k13_group_2(A,D,k6_algstr_0(A,B,C)),k2_group_2(A,k13_group_2(A,D,B),k13_group_2(A,D,C))) ) ) ) ) )).
fof(t116_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => v1_group_3(B,A) ) ) ) )).
fof(t116_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),1) & ~ r1_xxreal_0(k3_finseq_1(D),1) & ~ r4_group_9(A,B,k21_group_9(A,B,C,D),C) ) ) ) ) )).
fof(t116_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D),k12_euclid(D)),A),k6_xcmplx_0(1,A))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k18_euclid(D),k5_numbers) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(1,A) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t116_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(B),F) & r1_xxreal_0(G,k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),H) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t116_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r2_jordan2c(A,B,C) => v2_connsp_1(C,k15_euclid(A)) ) ) ) ) )).
fof(t116_matrix13,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r1_struct_0(k1_vectsp_7(B,C,k7_domain_1(u1_struct_0(C),D,E)),A) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & A = k3_rlvect_1(C,k3_vectsp_1(B,C,F,D),k3_vectsp_1(B,C,G,E)) ) ) ) ) ) ) ) )).
fof(t116_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( ( r2_hidden(C,A) & r2_hidden(D,B) ) => r2_tarski(k7_xcmplx_0(C,D),k15_member_1(A,B)) ) ) ) ) ) )).
fof(t116_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( ( v8_msafree5(E,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( E = k6_msafree5(A,C,B,D) => r8_pboole(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),B),k24_msafree5(A,C,B,D,E),k6_partfun1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),B))) ) ) ) ) ) ) )).
fof(t116_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r13_ncfcont1(A,B,C,D) => r7_ncfcont1(A,B,D,C) ) ) ) ) )).
fof(t116_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r5_pboole(A,B,C) => r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),C),B) ) ) ) )).
fof(t116_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k3_finseq_1(k8_rvsum_1(A,B)) = k3_finseq_1(A) ) ) ) )).
fof(t116_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_tarski(k5_numbers,k9_xtuple_0(k10_scmpds_6(A,B,C))) & r2_tarski(1,k9_xtuple_0(k10_scmpds_6(A,B,C))) ) ) ) ) )).
fof(t116_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ! [B] : ( v7_ordinal1(B) => k2_scmyciel(k1_funct_1(k13_scmyciel(A),B)) = k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,B),k2_scmyciel(A)),k1_newton(2,B)),1) ) ) )).
fof(t116_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( r2_tarski(B,C) => k22_seq_4(A,B,C) = k5_numbers ) ) ) ) )).
fof(t116_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,D,B))) ) ) ) ) )).
fof(t116_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_sin_cos9))) & ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & r1_xxreal_0(1,k1_funct_1(k22_sin_cos,B)) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_sin_cos9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k2_xcmplx_0(1,k1_square_1(k1_funct_1(k22_sin_cos,B))))) ) ) ) ) ) )).
fof(t116_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_square_1(2)) ) => ( k1_funct_1(k16_sin_cos,k8_sincos10(A)) = k7_xcmplx_0(1,A) & k1_funct_1(k18_sin_cos,k8_sincos10(A)) = k7_xcmplx_0(k3_square_1(k6_xcmplx_0(k1_square_1(A),1)),A) ) ) ) )).
fof(t116_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) => ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(E,k1_tsep_1(A,C,D),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) <=> ( v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E)) & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),C,B) & m1_subset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E)) & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),D,B) & m1_subset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) ) ) ) ) ) ) )).
fof(t116_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k3_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)) )).
fof(t116_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( ( k6_xboolean(A,B) = k2_xboolean & k6_xboolean(B,A) = k2_xboolean ) => A = B ) ) ) )).
fof(t116_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ~ ( B != k5_numbers & D != k5_numbers & k2_xcmplx_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) != k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,D),k3_xcmplx_0(C,B)),k3_xcmplx_0(B,D)) ) ) ) ) ) )).
fof(t116_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(k3_xcmplx_0(A,B),k7_xcmplx_0(C,D)) & r1_xxreal_0(k7_xcmplx_0(C,B),k3_xcmplx_0(A,D)) ) ) ) ) ) )).
fof(t116_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & r1_xxreal_0(C,D) & r1_tarski(k1_xxreal_1(C,D),k1_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t116_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( r1_zf_model(D,E,k10_zf_lang(k10_zf_lang(A,C),k10_zf_lang(k10_zf_lang(B,C),k10_zf_lang(k9_zf_lang(A,B),C)))) & r2_zf_model(D,k10_zf_lang(k10_zf_lang(A,C),k10_zf_lang(k10_zf_lang(B,C),k10_zf_lang(k9_zf_lang(A,B),C)))) ) ) ) ) ) ) )).
fof(t116_zfmisc_1,axiom,( ! [A] : ! [B] : ( r2_hidden(A,B) => k2_xboole_0(k4_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B ) )).
fof(t116_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => m1_zmodul01(k6_zmodul01(A,C,k7_zmodul01(A,B,D)),k7_zmodul01(A,k6_zmodul01(A,B,C),k6_zmodul01(A,C,D))) ) ) ) ) )).
fof(t117_abcmiz_1,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( ( r2_pboole(u1_struct_0(A),B,C) & v13_abcmiz_1(B,A) ) => v13_abcmiz_1(C,A) ) ) ) ) )).
fof(t117_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) ) => r9_absred_0(A,k3_absred_0(A,B),B) ) ) ) )).
fof(t117_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r5_aofa_000(A,B,C,E,D) & r5_aofa_000(A,B,C,F,D) & ! [G] : ( m1_subset_1(G,B) => r4_aofa_000(A,k13_aofa_000(A,F,E),B,G,C,D) ) ) => r5_aofa_000(A,B,C,k16_aofa_000(A,E,F),D) ) ) ) ) ) ) ) )).
fof(t117_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(k15_aofa_l00(A,E,F,H,I),G) ) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t117_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k6_bvfunc25(A,B,C)),k14_margrel1(A,k5_bvfunc_1(A,B,k15_margrel1(A,B,C)))) ) ) ) )).
fof(t117_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k1_bvfunc_1(A,B),D)),k5_bvfunc_1(A,C,D)) ) ) ) ) )).
fof(t117_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v9_clvect_1(B,A) => v2_comseq_2(k5_normsp_0(A,B)) ) ) ) )).
fof(t117_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v3_card_1(C,k1_nat_1(A,1)) & m2_finseq_1(C,B) ) => ? [D] : ( m2_finseq_2(D,B,k4_finseq_2(A,B)) & ? [E] : ( m1_subset_1(E,B) & C = k8_finseq_1(B,D,k12_finseq_1(B,E)) ) ) ) ) ) )).
fof(t117_finseq_3,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => m2_finseq_1(A,k1_numbers) ) )).
fof(t117_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(B)) => k3_finseq_6(A,B,C,k3_finseq_1(B)) = k2_rfinseq(A,k7_nat_d(C,1),B) ) ) ) ) )).
fof(t117_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( r1_tarski(B,k2_flang_2(A,C)) => k2_flang_2(A,C) = k2_flang_2(A,k4_subset_1(k8_afinsq_1(A),C,B)) ) ) ) )).
fof(t117_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r1_tarski(k2_relset_1(B,E),k1_relset_1(B,k2_partfun1(B,C,F,D))) => r2_funct_2(A,C,k8_funct_2(A,C,B,E,k2_partfun1(B,C,F,D)),k8_funct_2(A,C,B,E,F)) ) ) ) ) ) )).
fof(t117_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(C)) & r1_tarski(A,B) ) => r1_tarski(A,k1_funct_4(B,C)) ) ) ) ) )).
fof(t117_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : k6_funct_4(k1_funct_4(A,B),C,D) = k1_funct_4(k6_funct_4(A,C,D),k6_funct_4(B,C,D)) ) ) )).
fof(t117_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & ? [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C)))) & ? [E] : ( m1_subset_1(E,k5_margrel1) & ? [F] : ( m1_subset_1(F,k5_margrel1) & ? [G] : ( m1_subset_1(G,k5_margrel1) & E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) & ~ ( k1_twoscomp(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),k5_facirc_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D,2),k45_gfacirc1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),k8_margrel1(F)),k9_margrel1(k8_margrel1(F),k8_margrel1(G))),k9_margrel1(k8_margrel1(G),k8_margrel1(E)))) & k1_funct_1(k5_facirc_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k6_twoscomp)) = k9_margrel1(k8_margrel1(E),k8_margrel1(F)) & k1_funct_1(k5_facirc_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D,2),k4_tarski(k10_finseq_1(B,C),k6_twoscomp)) = k9_margrel1(k8_margrel1(F),k8_margrel1(G)) & k1_funct_1(k5_facirc_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D,2),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)) = k9_margrel1(k8_margrel1(G),k8_margrel1(E)) ) ) ) ) ) ) )).
fof(t117_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( r1_xxreal_0(k17_glib_001(A,B,C),C) & r1_xxreal_0(C,k19_glib_001(A,B,C)) ) ) ) ) ) )).
fof(t117_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( r1_tarski(k8_group_2(A,C),k2_group_2(A,k13_group_2(A,C,B),k13_group_2(A,C,k2_group_1(A,B)))) & r1_tarski(k8_group_2(A,C),k2_group_2(A,k13_group_2(A,C,k2_group_1(A,B)),k13_group_2(A,C,B))) ) ) ) ) )).
fof(t117_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k13_group_2(A,B,C) = k14_group_2(A,B,C) ) ) ) ) )).
fof(t117_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),1) & ~ r1_xxreal_0(k3_finseq_1(D),1) & ~ r5_group_9(A,B,B,k21_group_9(A,B,C,D),k21_group_9(A,B,D,C)) ) ) ) ) )).
fof(t117_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D),k12_euclid(D)),A),k2_xcmplx_0(1,A))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k18_euclid(D),k5_numbers) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t117_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(B),F) & r1_xxreal_0(G,k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),H) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t117_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r3_connsp_1(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B),C) => r1_xboole_0(B,C) ) ) ) ) )).
fof(t117_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => ! [D] : ( v1_membered(D) => ( ( r1_tarski(A,B) & r1_tarski(C,D) ) => r1_tarski(k15_member_1(A,C),k15_member_1(B,D)) ) ) ) ) ) )).
fof(t117_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v5_msafree5(D) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,B)) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) => ! [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,C,k1_msafree3(A,D))) => ! [H] : ( m1_msafree4(H,k3_finseq_2(u1_struct_0(A)),k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D))),k3_msualg_1(A,C,k1_msafree3(A,D))) => ! [I] : ( ( v8_msafree5(I,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( I = k7_msafree5(A,D,C,G) & k17_msafree5(A,C,B,D,E,G) = k6_msafree5(A,D,B,E) & H = k1_funct_7(G,k16_msafree5(A,C,B,D,E,G),F) ) => k18_msafree5(A,D,B,E,I,F) = k7_msafree5(A,D,C,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t117_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r14_ncfcont1(A,B,C,D) => r8_ncfcont1(A,B,D,C) ) ) ) ) )).
fof(t117_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,k4_pboole(A,B,C),B) => r5_pboole(A,B,C) ) ) ) )).
fof(t117_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k3_finseq_1(k10_rvsum_1(B,A)) = k3_finseq_1(B) ) ) )).
fof(t117_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( k1_funct_1(k10_scmpds_6(A,B,C),k5_numbers) = k9_scmpds_2(A,B,2) & k1_funct_1(k10_scmpds_6(A,B,C),1) = k3_scmpds_2(k1_nat_1(k4_card_1(C),1)) ) ) ) ) )).
fof(t117_scmyciel,axiom,( ! [A] : ( ( v1_finset_1(A) & v4_scmyciel(A) ) => ! [B] : ( v7_ordinal1(B) => k3_scmyciel(k1_funct_1(k13_scmyciel(A),B)) = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_newton(3,B),k3_scmyciel(A)),k3_xcmplx_0(k6_xcmplx_0(k1_newton(3,B),k1_newton(2,B)),k2_scmyciel(A))),k3_stirl2_1(k1_nat_1(B,1),3)) ) ) )).
fof(t117_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ~ ( ~ r2_tarski(B,C) & C != k1_xboole_0 & v2_seq_4(C,A) & r1_xxreal_0(k22_seq_4(A,B,C),k5_numbers) ) ) ) ) )).
fof(t117_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),D)),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),D)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C))) ) ) ) ) )).
fof(t117_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9))) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k3_taylor_1,B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k3_taylor_1,B)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9),A),B) = k7_xcmplx_0(1,k3_xcmplx_0(B,k2_xcmplx_0(1,k1_square_1(k1_funct_1(k3_taylor_1,B))))) ) ) ) ) ) )).
fof(t117_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(k3_square_1(2),A) & k1_funct_1(k2_fdiff_9,k5_sincos10(A)) != k7_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1))) ) ) )).
fof(t117_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( r4_tsep_1(A,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v1_funct_1(k2_tmap_1(A,B,E,k1_tsep_1(A,C,D))) & v1_funct_2(k2_tmap_1(A,B,E,k1_tsep_1(A,C,D)),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,E,k1_tsep_1(A,C,D)),k1_tsep_1(A,C,D),B) & m1_subset_1(k2_tmap_1(A,B,E,k1_tsep_1(A,C,D)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) <=> ( v1_funct_1(k2_tmap_1(A,B,E,C)) & v1_funct_2(k2_tmap_1(A,B,E,C),u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,E,C),C,B) & m1_subset_1(k2_tmap_1(A,B,E,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) & v1_funct_1(k2_tmap_1(A,B,E,D)) & v1_funct_2(k2_tmap_1(A,B,E,D),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,E,D),D,B) & m1_subset_1(k2_tmap_1(A,B,E,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t117_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,B) => k4_xboole_0(A,C) = k2_xboole_0(k4_xboole_0(A,B),k3_xboole_0(A,k4_xboole_0(B,C))) ) )).
fof(t117_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ( ( k6_xboolean(A,B) = k2_xboolean & k6_xboolean(B,C) = k2_xboolean ) => k6_xboolean(A,C) = k2_xboolean ) ) ) ) )).
fof(t117_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( A != k5_numbers => k2_xcmplx_0(A,B) = k3_xcmplx_0(A,k2_xcmplx_0(1,k7_xcmplx_0(B,A))) ) ) ) )).
fof(t117_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k5_numbers,D) & ~ r1_xxreal_0(k3_xcmplx_0(A,B),k7_xcmplx_0(C,D)) & r1_xxreal_0(k7_xcmplx_0(C,B),k3_xcmplx_0(A,D)) ) ) ) ) ) )).
fof(t117_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k4_xxreal_1(C,D),k2_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t117_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( r1_zf_model(D,E,k10_zf_lang(k6_zf_lang(k10_zf_lang(A,C),k10_zf_lang(B,C)),k10_zf_lang(k9_zf_lang(A,B),C))) & r2_zf_model(D,k10_zf_lang(k6_zf_lang(k10_zf_lang(A,C),k10_zf_lang(B,C)),k10_zf_lang(k9_zf_lang(A,B),C))) ) ) ) ) ) ) )).
fof(t117_zfmisc_1,axiom,( ! [A] : ! [B] : ( ~ r2_hidden(A,B) => k4_xboole_0(k2_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B ) )).
fof(t117_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( m1_zmodul01(B,C) => k6_zmodul01(A,C,k7_zmodul01(A,B,D)) = k7_zmodul01(A,k6_zmodul01(A,B,C),k6_zmodul01(A,C,D)) ) ) ) ) ) )).
fof(t118_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) => r1_tarski(k3_card_3(k3_msafree(A,B)),k3_card_3(k3_msafree(A,C))) ) ) ) )).
fof(t118_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) & r9_absred_0(A,C,B) ) => C = k3_absred_0(A,B) ) ) ) ) )).
fof(t118_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & l1_unialg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_aofa_000(D,A,B,C) => ! [E] : ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r5_aofa_000(A,B,C,F,D) & r6_aofa_000(A,B,C,G,D,E) & r7_aofa_000(A,B,C,F,D,E) & ! [H] : ( m1_subset_1(H,B) => ( ( r2_tarski(H,E) & r2_tarski(k2_binop_1(B,u1_struct_0(A),B,D,k2_binop_1(B,u1_struct_0(A),B,D,H,G),F),C) ) => r2_tarski(k2_binop_1(B,u1_struct_0(A),B,D,H,G),E) ) ) & ! [H] : ( m1_subset_1(H,B) => ( r2_tarski(k2_binop_1(B,u1_struct_0(A),B,D,H,F),E) => r4_aofa_000(A,k13_aofa_000(A,G,F),B,k2_binop_1(B,u1_struct_0(A),B,D,H,F),C,D) ) ) ) => r6_aofa_000(A,B,C,k16_aofa_000(A,F,G),D,E) ) ) ) ) ) ) ) )).
fof(t118_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,k12_aofa_l00(A,E,F,H),k12_aofa_l00(A,E,F,I)),J),k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J))),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t118_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k5_bvfunc_1(A,k1_bvfunc_1(A,B),k1_bvfunc_1(A,C))) ) ) ) ) )).
fof(t118_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v9_clvect_1(C,A) & k7_clvect_1(A,C) = B ) => ( v2_comseq_2(k5_normsp_0(A,k3_normsp_1(A,C,B))) & k1_seq_2(k5_normsp_0(A,k3_normsp_1(A,C,B))) = k5_numbers ) ) ) ) ) )).
fof(t118_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(A)) <=> r2_xboole_0(k1_relset_1(k4_ordinal1,A),k1_relset_1(k4_ordinal1,B)) ) ) ) )).
fof(t118_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( k1_funct_1(k3_finseq_6(A,B,C,D),1) = k1_funct_1(B,C) & ( r1_xxreal_0(C,D) => ( k3_finseq_1(k3_finseq_6(A,B,C,D)) = k1_nat_1(k7_nat_d(D,C),1) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(k3_finseq_6(A,B,C,D))) ) => k1_funct_1(k3_finseq_6(A,B,C,D),E) = k1_funct_1(B,k7_nat_d(k2_xcmplx_0(E,C),1)) ) ) ) ) & ( ~ r1_xxreal_0(C,D) => ( k3_finseq_1(k3_finseq_6(A,B,C,D)) = k1_nat_1(k7_nat_d(C,D),1) & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(k3_finseq_6(A,B,C,D))) ) => k1_funct_1(k3_finseq_6(A,B,C,D),E) = k1_funct_1(B,k1_nat_1(k7_nat_d(C,E),1)) ) ) ) ) ) ) ) ) ) ) )).
fof(t118_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( r1_tarski(k2_relset_1(B,F),k1_relset_1(B,k2_partfun1(B,C,G,D))) & r1_tarski(D,E) ) => r2_funct_2(A,C,k8_funct_2(A,C,B,F,k2_partfun1(B,C,G,D)),k8_funct_2(A,C,B,F,k2_partfun1(B,C,G,E))) ) ) ) ) ) )).
fof(t118_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) => k1_funct_4(k1_funct_4(A,B),C) = k1_funct_4(k1_funct_4(A,C),B) ) ) ) ) )).
fof(t118_funct_7,axiom,( ! [A] : ! [B] : k9_xtuple_0(k10_funct_7(A,B)) = k4_ordinal1 )).
fof(t118_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & ~ ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C)))) => v1_circuit2(k5_facirc_1(k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C),D,2),k43_gfacirc1(A,B,C),k44_gfacirc1(A,B,C)) ) ) )).
fof(t118_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v1_glib_001(B,A) <=> k1_funct_1(B,1) = k1_funct_1(B,k3_finseq_1(B)) ) ) ) )).
fof(t118_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => r1_tarski(k13_group_2(A,C,k5_group_1(A,B,2)),k2_group_2(A,k13_group_2(A,C,B),k13_group_2(A,C,B))) ) ) ) )).
fof(t118_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_tarski(k13_group_2(A,B,C),k14_group_2(A,B,C)) ) ) ) ) )).
fof(t118_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ? [E] : ( v8_group_9(E,A,B) & m2_finseq_1(E,k6_group_9(A,B)) & ? [F] : ( v8_group_9(F,A,B) & m2_finseq_1(F,k6_group_9(A,B)) & r4_group_9(A,B,E,C) & r4_group_9(A,B,F,D) & r5_group_9(A,B,B,E,F) ) ) ) ) ) )).
fof(t118_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D),k12_euclid(D)),A),k6_xcmplx_0(1,A))))))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k18_euclid(D),k5_numbers) & r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(D),k12_euclid(D))) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(1,A) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t118_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(B),F) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(C),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t118_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( r2_jordan2c(A,D,C) & r1_jordan2c(A,D,B) ) => r1_xboole_0(C,B) ) ) ) ) ) )).
fof(t118_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ( r1_tarski(D,k2_finseq_1(A)) => r1_tarski(k9_matrix13(C,k4_card_1(D),k4_card_1(k2_finseq_1(B)),k6_matrix13(u1_struct_0(C),E,D,k2_finseq_1(B))),k9_matrix13(C,A,B,E)) ) ) ) ) ) ) )).
fof(t118_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => k15_member_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k15_member_1(A,B),k15_member_1(A,C)) ) ) ) )).
fof(t118_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v5_msafree5(C) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( ( v8_msafree5(E,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( v16_msafree5(E,A,C,B,D) => r1_msualg_6(A,B,k3_msafree5(A,k1_msafree3(A,C),E),k1_msafree3(A,C),k24_msafree5(A,C,B,D,E)) ) ) ) ) ) ) )).
fof(t118_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( r15_ncfcont1(B,A,C,D) => r9_ncfcont1(B,A,D,C) ) ) ) ) )).
fof(t118_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r5_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)) ) ) )).
fof(t118_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( k7_relat_1(B,A) = k1_xboole_0 <=> r1_xboole_0(k9_xtuple_0(B),A) ) ) )).
fof(t118_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) ) => k14_rvsum_1(k4_rvsum_1(A,B),C) = k4_rvsum_1(k14_rvsum_1(A,C),k14_rvsum_1(B,C)) ) ) ) ) )).
fof(t118_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) & r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( r1_scmpds_6(k10_scmpds_6(D,E,C),B,A) & r2_scmpds_6(k10_scmpds_6(D,E,C),B,A) ) ) ) ) ) ) ) )).
fof(t118_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => ( k8_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),A)) = 2 & k10_scmyciel(k1_funct_1(k13_scmyciel(k5_scmyciel(2)),A)) = k1_nat_1(A,2) ) ) )).
fof(t118_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) => ( D != k1_xboole_0 => r1_xxreal_0(k22_seq_4(A,C,D),k2_xcmplx_0(k20_seq_4(k17_seq_4(A,C,B)),k22_seq_4(A,B,D))) ) ) ) ) ) )).
fof(t118_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,C)),k5_sheffer1(A,C,k5_sheffer1(A,D,C))),k5_sheffer1(A,B,k5_sheffer1(A,B,B))) = k5_sheffer1(A,k5_sheffer1(A,D,D),C) ) ) ) ) )).
fof(t118_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9))) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k3_taylor_1,B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k3_taylor_1,B)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(B,k2_xcmplx_0(1,k1_square_1(k1_funct_1(k3_taylor_1,B)))))) ) ) ) ) ) )).
fof(t118_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(k3_square_1(2))) & ~ r1_xxreal_0(k4_xcmplx_0(1),A) & k1_funct_1(k2_fdiff_9,k6_sincos10(A)) != k4_xcmplx_0(k7_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1)))) ) ) )).
fof(t118_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v1_borsuk_1(E,A) & m1_pre_topc(E,A) ) => ( ( v1_funct_1(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E))) & v1_funct_2(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E)),u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E)),k1_tsep_1(A,D,E),B) & m1_subset_1(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B)))) ) <=> ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,D),D,B) & m1_subset_1(k2_tmap_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) & v1_funct_1(k2_tmap_1(A,B,C,E)) & v1_funct_2(k2_tmap_1(A,B,C,E),u1_struct_0(E),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,E),E,B) & m1_subset_1(k2_tmap_1(A,B,C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) ) ) ) ) ) ) )).
fof(t118_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k6_xboolean(k6_xboolean(k3_xboolean(A),A),A) = k2_xboolean ) )).
fof(t118_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k2_xcmplx_0(k7_xcmplx_0(A,k3_xcmplx_0(2,B)),k7_xcmplx_0(A,k3_xcmplx_0(2,B))) = k7_xcmplx_0(A,B) ) ) )).
fof(t118_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(A,B) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k7_xcmplx_0(C,B),k7_xcmplx_0(C,A)) ) ) ) ) ) )).
fof(t118_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(B,D) & ~ r1_xxreal_0(D,C) & r1_tarski(k3_xxreal_1(C,D),k2_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t118_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k10_zf_lang(A,k5_zf_lang(B)),k10_zf_lang(B,k5_zf_lang(A)))) & r2_zf_model(C,k10_zf_lang(k10_zf_lang(A,k5_zf_lang(B)),k10_zf_lang(B,k5_zf_lang(A)))) ) ) ) ) ) )).
fof(t118_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r1_tarski(D,k1_enumset1(A,B,C)) <=> ~ ( D != k1_xboole_0 & D != k1_tarski(A) & D != k1_tarski(B) & D != k1_tarski(C) & D != k2_tarski(A,B) & D != k2_tarski(B,C) & D != k2_tarski(A,C) & D != k1_enumset1(A,B,C) ) ) )).
fof(t118_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( ( v1_zmodul01(B) & m1_zmodul01(B,D) ) => k6_zmodul01(A,B,k7_zmodul01(A,C,D)) = k7_zmodul01(A,k6_zmodul01(A,B,C),D) ) ) ) ) ) )).
fof(t119_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( r2_pboole(u1_struct_0(A),B,C) => r1_tarski(u1_struct_0(k5_msafree(A,B)),u1_struct_0(k5_msafree(A,C))) ) ) ) ) )).
fof(t119_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) ) => v2_absred_0(k3_absred_0(A,B),A) ) ) ) )).
fof(t119_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,I),J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),J))),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t119_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k5_bvfunc_1(A,k1_bvfunc_1(A,B),D)),k5_bvfunc_1(A,C,D)) ) ) ) ) )).
fof(t119_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v9_clvect_1(B,A) & v9_clvect_1(C,A) ) => k7_clvect_1(A,k1_normsp_1(A,B,C)) = k3_rlvect_1(A,k7_clvect_1(A,B),k7_clvect_1(A,C)) ) ) ) ) )).
fof(t119_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,B) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,B) ) => ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_finseq_1(A)) => k1_funct_1(C,E) = k1_funct_1(D,E) ) ) => C = D ) ) ) ) ) )).
fof(t119_finseq_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( ( B != k5_numbers & A = k1_xboole_0 ) <=> k4_finseq_2(B,A) = k1_xboole_0 ) ) )).
fof(t119_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k10_xtuple_0(k3_finseq_6(A,B,C,D)),k10_xtuple_0(B)) ) ) ) ) )).
fof(t119_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(B,C)))) ) => ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k2_zfmisc_1(B,C),D,E) = k4_tarski(k3_funct_2(A,B,k4_funct_2(A,B,C,D),E),k3_funct_2(A,C,k5_funct_2(A,B,C,D),E)) ) ) ) ) ) )).
fof(t119_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) => k6_subset_1(k1_funct_4(A,B),B) = A ) ) ) )).
fof(t119_funct_7,axiom,( ! [A] : ! [B] : k1_funct_1(k10_funct_7(A,B),k5_numbers) = A )).
fof(t119_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k46_gfacirc1(A,B,C)) = k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A,B),k1_facirc_1)),k1_tarski(k48_gfacirc1(A,B,C))) )).
fof(t119_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v1_glib_001(B,A) <=> ? [C] : r1_glib_001(A,C,C,B) ) ) ) )).
fof(t119_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( r1_struct_0(C,B) <=> k14_group_2(A,C,B) = k8_group_2(A,C) ) ) ) ) )).
fof(t119_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_tarski(k14_group_2(A,B,C),k13_group_2(A,B,C)) ) ) ) ) )).
fof(t119_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v8_group_9(C,A,B) & m2_finseq_1(C,k6_group_9(A,B)) ) => ! [D] : ( ( v8_group_9(D,A,B) & m2_finseq_1(D,k6_group_9(A,B)) ) => ( ( v10_group_9(C,A,B) & v10_group_9(D,A,B) ) => r5_group_9(A,B,B,C,D) ) ) ) ) )).
fof(t119_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k17_euclid(D),k12_euclid(D)),A),k2_xcmplx_0(1,A))))))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k18_euclid(D),k5_numbers) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(D),k12_euclid(D)),A) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t119_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = H & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(B),F) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(C),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t119_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v9_rltopsp1(D,k15_euclid(A)) & r2_jordan2c(A,D,B) & r2_jordan2c(A,D,C) ) => B = C ) ) ) ) ) ) )).
fof(t119_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ( ( r1_tarski(D,k2_finseq_1(A)) & v1_vectsp_7(k9_matrix13(C,A,B,E),C,k6_prvect_1(C,B)) ) => v1_vectsp_7(k9_matrix13(C,k4_card_1(D),k4_card_1(k2_finseq_1(B)),k6_matrix13(u1_struct_0(C),E,D,k2_finseq_1(B))),C,k6_prvect_1(C,k4_card_1(k2_finseq_1(B)))) ) ) ) ) ) ) )).
fof(t119_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => r1_tarski(k15_member_1(A,k3_xboole_0(B,C)),k3_xboole_0(k15_member_1(A,B),k15_member_1(A,C))) ) ) ) )).
fof(t119_msafree5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(B)) & v6_msafree5(E) ) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,E))),k3_msualg_1(B,D,k1_msafree3(B,E))) => ! [G] : ( v1_finset_1(G) => ~ ( r2_tarski(A,k4_finseq_1(F)) & k7_partfun1(u1_struct_0(B),k1_msualg_1(B,D),A) = C & ! [H] : ( m1_msafree4(H,u1_struct_0(B),E,k1_msafree4(u1_struct_0(B),E,C)) => ! [I] : ( ( v8_msafree5(I,B,E,k1_msafree3(B,E),C,H) & m1_subset_1(I,k3_card_3(u3_msualg_1(B,k1_msafree3(B,E)))) ) => ! [J] : ( m1_msafree4(J,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,E))),k3_msualg_1(B,D,k1_msafree3(B,E))) => ~ ( ~ r2_hidden(H,G) & I = k7_msafree5(B,E,D,J) & J = k1_funct_7(F,A,k6_msafree5(B,E,C,H)) & v11_msafree5(J,B,D,C,E,H) & A = k16_msafree5(B,D,C,E,H,J) & k17_msafree5(B,D,C,E,H,J) = k6_msafree5(B,E,C,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t119_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) => r7_pboole(A,B,C) ) ) ) )).
fof(t119_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( A != k1_xboole_0 & r1_tarski(A,k9_xtuple_0(B)) & k7_relat_1(B,A) = k1_xboole_0 ) ) )).
fof(t119_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => r1_xxreal_0(k5_numbers,k22_rvsum_1(A,A)) ) )).
fof(t119_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) => ( r1_scmpds_6(k10_scmpds_6(D,E,C),B,A) & r2_scmpds_6(k10_scmpds_6(D,E,C),B,A) ) ) ) ) ) ) ) )).
fof(t119_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_finset_1(B) & v4_scmyciel(B) & k8_scmyciel(B) = 2 & ~ r1_xxreal_0(k10_scmyciel(B),A) ) ) )).
fof(t119_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) => ( r2_tarski(C,k23_seq_4(A,D,B)) <=> ~ r1_xxreal_0(B,k22_seq_4(A,C,D)) ) ) ) ) ) )).
fof(t119_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,C,B)) = k5_sheffer1(A,k5_sheffer1(A,C,C),B) ) ) ) )).
fof(t119_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k22_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k22_sin_cos),A),B) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k1_sin_cos9,B)),k2_xcmplx_0(1,k1_square_1(B))) ) ) ) ) ) )).
fof(t119_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(k3_square_1(2))) & ~ r1_xxreal_0(k4_xcmplx_0(1),A) & k1_funct_1(k1_fdiff_9,k7_sincos10(A)) != k4_xcmplx_0(k7_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1)))) ) ) )).
fof(t119_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v1_tsep_1(E,A) & m1_pre_topc(E,A) ) => ( ( v1_funct_1(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E))) & v1_funct_2(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E)),u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E)),k1_tsep_1(A,D,E),B) & m1_subset_1(k2_tmap_1(A,B,C,k1_tsep_1(A,D,E)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B)))) ) <=> ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,D),D,B) & m1_subset_1(k2_tmap_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) & v1_funct_1(k2_tmap_1(A,B,C,E)) & v1_funct_2(k2_tmap_1(A,B,C,E),u1_struct_0(E),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,E),E,B) & m1_subset_1(k2_tmap_1(A,B,C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) ) ) ) ) ) ) )).
fof(t119_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( k3_xboolean(A) = k2_xboolean => k6_xboolean(A,B) = k2_xboolean ) ) ) )).
fof(t119_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(A,k3_xcmplx_0(3,B)),k7_xcmplx_0(A,k3_xcmplx_0(3,B))),k7_xcmplx_0(A,k3_xcmplx_0(3,B))) = k7_xcmplx_0(A,B) ) ) )).
fof(t119_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k2_xxreal_1(C,D),k2_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t119_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k5_zf_lang(A),k10_zf_lang(A,B))) & r2_zf_model(C,k10_zf_lang(k5_zf_lang(A),k10_zf_lang(A,B))) ) ) ) ) ) )).
fof(t119_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( r1_tarski(A,k2_zfmisc_1(C,E)) & r1_tarski(B,k2_zfmisc_1(D,F)) ) => r1_tarski(k2_xboole_0(A,B),k2_zfmisc_1(k2_xboole_0(C,D),k2_xboole_0(E,F))) ) )).
fof(t119_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => ( k6_zmodul01(A,B,C) = C <=> k7_zmodul01(A,B,C) = B ) ) ) ) )).
fof(t11_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ! [B] : ( l2_abcmiz_0(B) => ( g2_abcmiz_0(u1_struct_0(A),u1_abcmiz_0(A),u1_orders_2(A),u2_abcmiz_0(A),u3_abcmiz_0(A)) = g2_abcmiz_0(u1_struct_0(B),u1_abcmiz_0(B),u1_orders_2(B),u2_abcmiz_0(B),u3_abcmiz_0(B)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ! [D] : ( m1_subset_1(D,u1_abcmiz_0(B)) => ( C = D => k3_abcmiz_0(A,C) = k3_abcmiz_0(B,D) ) ) ) ) ) ) )).
fof(t11_abcmiz_1,axiom,( ! [A] : ! [B] : k1_abcmiz_1(k2_xboole_0(A,B)) = k2_xboole_0(k1_abcmiz_1(A),k1_abcmiz_1(B)) )).
fof(t11_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ~ ( ! [C] : ( m1_subset_1(C,k2_abcmiz_1) => ~ ( B = k35_abcmiz_1(C,A) & k1_funct_1(B,k1_xboole_0) = k4_tarski(C,k8_abcmiz_1) ) ) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ~ ( k1_funct_1(B,k1_xboole_0) = k4_tarski(C,u1_struct_0(A)) & ~ ( ~ r2_tarski(C,k20_abcmiz_1) & C != k9_abcmiz_1 & C != k10_abcmiz_1 ) ) ) ) ) ) )).
fof(t11_abian,axiom,( ! [A] : ( v1_int_1(A) => ( v1_abian(A) <=> ? [B] : ( v1_int_1(B) & A = k3_xcmplx_0(2,B) ) ) ) )).
fof(t11_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_absred_0(A,B,C) => r4_absred_0(A,B,C) ) ) ) ) )).
fof(t11_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k5_numbers,k3_xcmplx_0(A,B)) => k9_complex1(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k9_complex1(A),k9_complex1(B)) ) ) ) )).
fof(t11_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ! [K] : ( m1_subset_1(K,A) => m2_finseq_2(k8_finseq_1(A,k10_finseq_4(A,B,C,D,E,F),k10_finseq_4(A,G,H,I,J,K)),A,k4_finseq_2(10,A)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_aff_1(A,B,C,E) & r1_aff_1(A,B,C,D) & r1_aff_1(A,E,D,F) ) => ( E = D | r1_aff_1(A,B,C,F) ) ) ) ) ) ) ) ) )).
fof(t11_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v2_aff_2(A) => v4_aff_2(A) ) ) )).
fof(t11_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(B,D) & r2_tarski(C,D) & v1_aff_1(D,A) ) ) ) ) )).
fof(t11_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( ~ r1_xxreal_0(k1_afinsq_1(B),A) => k2_afinsq_1(k5_relat_1(B,A)) = A ) ) ) )).
fof(t11_afinsq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => k2_afinsq_2(k1_ordinal4(B,C),k2_xcmplx_0(k1_afinsq_1(B),A)) = k2_afinsq_2(C,A) ) ) ) )).
fof(t11_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) ) => ( k5_afproj(A,B) = k5_afproj(A,C) <=> r5_aff_1(A,B,C) ) ) ) ) ) )).
fof(t11_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,G,H) & r2_analoaf(A,D,E,I,J) & r2_analoaf(A,C,F,D,E) & r2_analoaf(A,H,K,I,J) ) => r2_analoaf(A,B,F,G,K) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect01(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r1_afvect01(A,B,C) & B = C ) ) ) ) )).
fof(t11_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( r4_alg_1(A,B,D) & r4_alg_1(B,C,E) ) => r4_alg_1(A,C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E)) ) ) ) ) ) ) )).
fof(t11_algspec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r6_pboole(A,k1_algspec1(A,k1_algspec1(A,B)),k1_algspec1(A,B)) ) )).
fof(t11_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & v21_algstr_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_algstr_1(A) & l4_algstr_0(A) ) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k6_algstr_0(A,B,C) = k5_struct_0(A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) ) ) ) )).
fof(t11_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_algstr_1(A) & v4_algstr_1(A) & v7_algstr_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_0(A,B,k4_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_algstr_0(A,B,C) = k4_struct_0(A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_algstr_0(A,k1_algstr_0(A,B,C),D) = k1_algstr_0(A,B,k1_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,B,C) = k1_algstr_0(A,C,B) ) ) & k4_struct_0(A) != k5_struct_0(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) != k5_struct_0(A) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k4_struct_0(A)) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k4_struct_0(A),B) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,k1_algstr_0(A,C,D)) = k1_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k1_algstr_0(A,C,D),B) = k1_algstr_0(A,k6_algstr_0(A,C,B),k6_algstr_0(A,D,B)) ) ) ) ) ) ) )).
fof(t11_algstr_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v2_algstr_4(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_group_6(C,A,B) => ( v2_algstr_4(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) & m1_subset_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) ) )).
fof(t11_altcat_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( v4_funct_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,B)) & v7_altcat_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( r2_tarski(D,A) & r2_tarski(E,B) ) => k1_binop_1(C,D,E) = k3_relat_1(E,D) ) ) ) ) ) ) )).
fof(t11_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_tarski(k7_relat_1(u1_cat_1(A),k8_mcart_1(u4_struct_0(A),u4_struct_0(A),k2_cat_1(A,C,D),k2_cat_1(A,B,C))),k2_cat_1(A,B,D)) ) ) ) ) )).
fof(t11_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) & ? [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) & v4_altcat_3(k5_altcat_1(A,B,C,D,E,F),A,B,D) & ~ v4_altcat_3(E,A,B,C) ) ) ) ) ) ) ) )).
fof(t11_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v6_altcat_3(B,A) & r2_altcat_3(A,B,C) ) => v6_altcat_3(C,A) ) ) ) ) )).
fof(t11_altcat_6,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(k7_altcat_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(k7_altcat_1(B))))) ) => ( r2_tarski(k3_card_3(k3_msafree(A,C)),B) => v4_altcat_6(k2_altcat_6(A,B,C),k7_altcat_1(B),A,C) ) ) ) )).
fof(t11_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k6_ami_2(A,B),k4_ordinal1) = B ) ) )).
fof(t11_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => k4_memstr_0(k5_card_1(2),k1_ami_3,A) = k4_numbers ) )).
fof(t11_ami_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( k5_compos_0(u1_compos_1(k1_ami_3),A) = 4 & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k5_ami_3(B,C) ) ) ) ) )).
fof(t11_ami_6,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_ami_3))) => ( A = 8 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3),A))) = k1_tarski(1) ) ) )).
fof(t11_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k4_ami_wstd(A,B,C,k5_numbers) = C ) ) ) )).
fof(t11_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( v7_ordinal1(B) => k3_amistd_1(A,k4_amistd_1(A),B) = k2_tarski(B,k1_nat_1(B,1)) ) ) )).
fof(t11_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r8_pboole(u1_struct_0(B),D,k4_extpro_1(A,B,D,C)) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(B),k5_extpro_1(A,B,C,D,E),D) ) ) ) ) ) ) )).
fof(t11_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_amistd_4(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) => v1_xboole_0(k3_amistd_4(A,B,C)) ) ) ) ) )).
fof(t11_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & ~ v1_xboole_0(D) & v1_finset_1(D) ) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(D)) => ! [E] : ( v7_ordinal1(E) => ( v4_extpro_1(D,A,B,C) <=> v4_extpro_1(k9_memstr_0(A,B,D,E),A,B,k6_compos_1(B,C,E)) ) ) ) ) ) ) ) )).
fof(t11_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_analmetr(A,C,D) & r2_analmetr(A,B,B,C,D) ) => B = k4_struct_0(A) ) ) ) ) ) )).
fof(t11_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_analoaf(A,B,C,D,E) & r1_analoaf(A,B,C,F,G) ) => ( B = C | r1_analoaf(A,D,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t11_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => k2_analort(A,D,E,k5_algstr_0(A,B,C)) = k5_algstr_0(A,k2_analort(A,D,E,B),k2_analort(A,D,E,C)) ) ) ) ) ) ) )).
fof(t11_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( ~ r1_anproj_1(A,B,C) & ~ r1_anproj_1(A,D,B) & ~ r1_anproj_1(A,C,D) ) => r2_anproj_1(A,D,B,C) ) ) ) ) ) )).
fof(t11_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( k3_funct_2(A,k1_numbers,B,E) = 1 & ! [H] : ( r2_tarski(H,A) => ( H = E | k1_funct_1(B,H) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,C,F) = 1 & ! [H] : ( r2_tarski(H,A) => ( H = F | k1_funct_1(C,H) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,D,G) = 1 & ! [H] : ( r2_tarski(H,A) => ( H = G | k1_funct_1(D,H) = k5_numbers ) ) ) => ( E = F | E = G | F = G | ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ( k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(H,B)),k1_funct_1(k7_funcsdom(A),k4_tarski(I,C))),k1_funct_1(k7_funcsdom(A),k4_tarski(J,D))) = k8_funcsdom(A) => ( H = k5_numbers & I = k5_numbers & J = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & k3_relat_1(A,B) = B & r2_tarski(C,D) ) => k1_funct_1(k7_aofa_000(A,D,B),C) = k1_funct_1(k7_aofa_000(A,D,B),k1_funct_1(A,C)) ) ) ) )).
fof(t11_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( B = k10_subset_1(k1_funct_1(u7_aofa_a00(A),1),u4_struct_0(A)) => ( B = k1_funct_1(u7_aofa_a00(A),1) & k1_msualg_1(A,B) = k1_xboole_0 & k2_msualg_1(A,B) = u8_aofa_a00(A) ) ) ) ) )).
fof(t11_aofa_i00,axiom,( ! [A] : ( v4_card_3(A) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,k1_card_1(A)) & v2_funct_2(B,k1_card_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) => r1_tarski(k2_relset_1(k1_card_1(A),B),k4_ordinal1) ) ) )).
fof(t11_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_armstrng(A)) => ! [C] : ( m1_subset_1(C,k4_armstrng(A)) => ( ( r3_armstrng(A,C,B) & r3_armstrng(A,B,C) ) => B = C ) ) ) )).
fof(t11_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,k2_arrow(A)) => ~ ( B != C & B != D & ! [F] : ( m1_subset_1(F,k2_arrow(A)) => ~ ( ~ r1_arrow(F,B,C) & ~ r1_arrow(F,B,D) & ~ ( ~ r1_arrow(F,D,C) & r1_arrow(E,D,C) ) & ~ ( ~ r1_arrow(E,D,C) & r1_arrow(F,D,C) ) & ~ ( ~ r1_arrow(F,C,D) & r1_arrow(E,C,D) ) & ~ ( ~ r1_arrow(E,C,D) & r1_arrow(F,C,D) ) ) ) ) ) ) ) ) ) )).
fof(t11_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( B = k5_numbers => k1_arytm_0(A,B) = A ) ) ) )).
fof(t11_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => r1_arytm_2(k1_arytm_1(A,B),A) ) ) )).
fof(t11_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( k7_arytm_2(A,B) = k7_arytm_2(A,C) => B = C ) ) ) ) )).
fof(t11_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ! [C] : ( ( v3_ordinal1(C) & v7_ordinal1(C) ) => ( ( r2_arytm_3(A,B) & r2_arytm_3(A,k8_ordinal3(B,C)) ) => r2_arytm_3(A,C) ) ) ) ) )).
fof(t11_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_tarski(A,k6_asympt_0(B)) => r1_tarski(k6_asympt_0(A),k6_asympt_0(B)) ) ) ) )).
fof(t11_asympt_1,axiom,( r2_tarski(k3_asympt_1(2),k6_asympt_0(k3_asympt_1(3))) )).
fof(t11_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k1_tarski(A)) & v1_funct_1(B) & v1_partfun1(B,k1_tarski(A)) ) => B = k17_funcop_1(A,k1_funct_1(B,A)) ) )).
fof(t11_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r1_tarski(k4_autgroup(A),k9_funct_2(u1_struct_0(A),u1_struct_0(A))) ) )).
fof(t11_bagorder,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( v1_partfun1(D,A) & v1_relat_2(D) & v4_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( C = k1_tarski(B) & r3_orders_1(D,C) ) => k7_pre_poly(A,C,D) = k9_finseq_1(B) ) ) ) ) )).
fof(t11_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : k1_ballot_1(C,A,D,B) = k1_card_fin(k2_finseq_1(k2_xcmplx_0(A,B)),A,C,D) ) ) )).
fof(t11_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) <=> ( v7_bcialg_1(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,B,D)),k1_bcialg_1(A,D,C)) = k4_struct_0(A) & k1_bcialg_1(A,B,k4_struct_0(A)) = B ) ) ) ) ) ) ) )).
fof(t11_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => k1_bcialg_2(A,k1_bcialg_2(A,B,C,E),D,F) = k1_bcialg_2(A,k1_bcialg_2(A,B,D,F),C,E) ) ) ) ) ) ) )).
fof(t11_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_3(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_bcialg_1(A,B,D) => k1_bcialg_1(A,k1_bcialg_1(A,D,C),k1_bcialg_1(A,k1_bcialg_1(A,D,C),k1_bcialg_1(A,D,B))) = k1_bcialg_1(A,k1_bcialg_1(A,D,C),k1_bcialg_1(A,B,C)) ) ) ) ) ) ) )).
fof(t11_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_4(A,k1_bcialg_4(A,B,C),D) = k1_bcialg_4(A,k1_bcialg_4(A,B,D),C) ) ) ) ) )).
fof(t11_bcialg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => r1_bcialg_1(A,k1_bcialg_5(A,C,B,k1_nat_1(D,1),k1_nat_1(D,1)),k1_bcialg_5(A,B,C,D,k1_nat_1(D,1))) ) ) ) ) )).
fof(t11_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_bcialg_1(A)) & r1_xxreal_0(1,C) ) => k2_bcialg_6(A,B,C) = B ) ) ) ) )).
fof(t11_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ! [C] : ( m2_bcialg_1(C,A) => ( k9_subset_1(u1_struct_0(A),B,C) = k1_tarski(k4_struct_0(A)) <=> ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => ! [E] : ( m2_subset_1(E,u1_struct_0(A),C) => k1_bcialg_1(A,D,E) = D ) ) ) ) ) ) )).
fof(t11_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_bhsp_1(A,k5_algstr_0(A,B,C),D) = k6_xcmplx_0(k2_bhsp_1(A,B,D),k2_bhsp_1(A,C,D)) ) ) ) ) )).
fof(t11_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(C) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),C,D) != B ) | k1_bhsp_2(A,C) = B ) ) ) ) ) )).
fof(t11_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_4(B,A) => v2_bhsp_3(k1_bhsp_4(A,B),A) ) ) ) )).
fof(t11_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A),u1_struct_0(A)) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & m2_bhsp_5(C,A) ) => ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k1_square_1(k2_bhsp_1(A,B,E)) ) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_tarski(C,k9_xtuple_0(E)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,C) => k1_funct_1(E,F) = k1_rlvect_1(A,F,k2_bhsp_1(A,B,F)) ) ) ) => k2_bhsp_1(A,B,k5_bhsp_5(u1_struct_0(A),u1_struct_0(A),u1_algstr_0(A),C,E)) = k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,C,D) ) ) ) ) ) ) ) ) ) )).
fof(t11_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => r2_funct_2(u1_struct_0(B),u1_struct_0(A),k8_bilinear(A,B,C,k1_bilinear(A,B,C),D),k7_hahnban1(A,B)) ) ) ) ) )).
fof(t11_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( m1_subset_1(D,k5_margrel1) => ! [E] : ( m1_subset_1(E,k5_margrel1) => k6_xcmplx_0(k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A,1),k7_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))),k16_funcop_1(k4_ordinal1,k4_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))),k16_funcop_1(k4_ordinal1,k5_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))) = k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D))),k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))) ) ) ) ) ) )).
fof(t11_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k6_binarith(A,k1_binari_2(A)) = 1 ) )).
fof(t11_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(B,C),k6_xcmplx_0(k5_series_1(2,A),1)) => k6_binarith(A,k7_binarith(A,k1_binari_3(A,B),k1_binari_3(A,C))) = k2_xcmplx_0(B,C) ) ) ) ) )).
fof(t11_binarith,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k5_xboolean(k5_xboolean(A,B),C) = k5_xboolean(A,k5_xboolean(B,C)) ) ) ) )).
fof(t11_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_binom(A,k2_binom(A,B,C),D) = k2_binom(A,B,k3_xcmplx_0(C,D)) ) ) ) ) )).
fof(t11_binop_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r6_binop_1(A,C,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( k1_binop_1(C,D,k1_binop_1(B,E,F)) = k1_binop_1(B,k1_binop_1(C,D,E),k1_binop_1(C,D,F)) & k1_binop_1(C,k1_binop_1(B,D,E),F) = k1_binop_1(B,k1_binop_1(C,D,F),k1_binop_1(C,E,F)) ) ) ) ) ) ) ) )).
fof(t11_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( A = k3_finseq_2(k7_domain_1(k4_ordinal1,k5_numbers,1)) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(B,k5_margrel1)) => r2_tarski(C,k2_trees_2(A,B)) ) ) ) ) )).
fof(t11_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_boolealg(A,k3_lattices(A,B,C),k5_lattices(A)) <=> ( r1_boolealg(A,B,k5_lattices(A)) & r1_boolealg(A,C,k5_lattices(A)) ) ) ) ) ) )).
fof(t11_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => r2_funct_2(u1_struct_0(A),k5_margrel1,k2_boolmark(A,B,C),k3_boolmark(A,B,k12_finseq_1(u4_struct_0(A),C))) ) ) ) )).
fof(t11_bor_cant,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r2_funct_2(k4_ordinal1,k9_setfam_1(A),k4_setlim_1(A,B),k7_bor_cant(A,B)) & r2_funct_2(k4_ordinal1,k9_setfam_1(A),k2_setlim_1(A,B),k9_bor_cant(A,B)) ) ) )).
fof(t11_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ( r1_tarski(C,D) => r1_tarski(k7_borsuk_1(A,B,C),k7_borsuk_1(A,B,D)) ) ) ) ) ) )).
fof(t11_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( ( v3_pre_topc(C,k2_borsuk_1(B,A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) => ! [D] : ~ ( r1_tarski(k2_zfmisc_1(k2_struct_0(B),k1_tarski(D)),C) & ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(D,E) & r1_tarski(E,a_3_0_borsuk_3(A,B,C)) ) ) ) ) ) ) )).
fof(t11_borsuk_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( A != B => k5_measure6(k4_rcomp_1(A,B)) = k1_rcomp_1(A,B) ) ) ) )).
fof(t11_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,B) ) => k4_subset_1(k1_numbers,k1_rcomp_1(A,B),k3_rcomp_1(C,k1_xxreal_0)) = k3_rcomp_1(A,k1_xxreal_0) ) ) ) ) )).
fof(t11_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( A = a_0_2_borsuk_6 & B = a_0_3_borsuk_6 ) => k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k2_jgraph_2(1,k5_numbers,k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)),A) = B ) ) ) )).
fof(t11_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k17_sin_cos(A) = k17_sin_cos(B) & k19_sin_cos(A) = k19_sin_cos(B) & ! [C] : ( v1_int_1(C) => A != k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C)) ) ) ) ) )).
fof(t11_brouwer,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_brouwer(B,C,A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_brouwer(B,C,A)),u1_struct_0(k2_brouwer(B,C,A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(B,C,A)),u1_struct_0(k2_brouwer(B,C,A))))) ) => ( m1_subset_1(D,u1_struct_0(k7_toprealb(B,C,A))) => ( r2_abian(u1_struct_0(k2_brouwer(B,C,A)),D,E) | k3_funct_2(u1_struct_0(k2_brouwer(B,C,A)),u1_struct_0(k7_toprealb(B,C,A)),k5_brouwer(B,A,C,E),D) = D ) ) ) ) ) ) ) )).
fof(t11_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v4_pre_topc(D,k15_euclid(A)) & r2_tarski(B,k1_tops_1(k15_euclid(A),C)) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(k15_euclid(A),C)),u1_struct_0(k1_pre_topc(k15_euclid(A),D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),C)),u1_struct_0(k1_pre_topc(k15_euclid(A),D))))) ) => ( v3_tops_2(E,k1_pre_topc(k15_euclid(A),C),k1_pre_topc(k15_euclid(A),D)) => r2_tarski(k1_funct_1(E,B),k1_tops_1(k15_euclid(A),D)) ) ) ) ) ) ) ) )).
fof(t11_bspace,axiom,( ! [A] : ! [B] : ( k3_bspace(A,B) != k4_struct_0(k2_bspace) <=> k3_bspace(A,B) = k5_struct_0(k2_bspace) ) )).
fof(t11_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k6_bvfunc_2(A,k7_bvfunc_2(A,B,C,E),C,D)) ) ) ) ) ) ) )).
fof(t11_bvfunc14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k9_xtuple_0(k9_funct_4(A,B,C,D,E,F)) = k1_enumset1(A,B,C) )).
fof(t11_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k14_margrel1(A,k6_bvfunc_1(A,B,C))) ) ) ) )).
fof(t11_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),k2_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t11_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_eqrel_1(D,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,C,B,D),C) ) ) ) ) )).
fof(t11_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k5_bvfunc_1(A,C,D),B,E),k5_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t11_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,k1_bvfunc_1(A,B),k1_bvfunc_1(A,C)),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t11_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,k1_bvfunc_1(A,B),B),B),k12_bvfunc_1(A)) ) ) )).
fof(t11_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k5_bvfunc_1(A,B,D)),k5_bvfunc_1(A,B,k2_bvfunc_1(A,C,D))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t11_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_c0sp1(A)) & v13_algstr_0(k7_c0sp1(A)) & v2_rlvect_1(k7_c0sp1(A)) & v3_rlvect_1(k7_c0sp1(A)) & v4_rlvect_1(k7_c0sp1(A)) & v5_rlvect_1(k7_c0sp1(A)) & v6_rlvect_1(k7_c0sp1(A)) & v7_rlvect_1(k7_c0sp1(A)) & v8_rlvect_1(k7_c0sp1(A)) & l1_rlvect_1(k7_c0sp1(A)) ) ) )).
fof(t11_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => k1_binop_1(k5_c0sp1(k12_funcsdom(u1_struct_0(A)),k2_c0sp2(A)),1,B) = B ) ) )).
fof(t11_calcul_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,k5_numbers) => k3_finseq_1(k14_finseq_1(k2_xboole_0(k2_finseq_1(B),k1_tarski(k2_xcmplx_0(B,A))))) = k1_nat_1(B,1) ) ) ) )).
fof(t11_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => k1_relset_1(k4_ordinal1,k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)))) = k1_relset_1(k4_ordinal1,B) ) ) ) )).
fof(t11_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k2_cantor_1(A,B) = k2_cantor_1(A,k2_cantor_1(A,B)) ) )).
fof(t11_card_1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_ordinal1(k1_card_1(A),k1_card_1(B)) ) )).
fof(t11_card_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_wellord2(k11_ordinal2(A,B),k2_zfmisc_1(A,B)) & k1_card_1(k11_ordinal2(A,B)) = k1_card_1(k2_zfmisc_1(A,B)) ) ) ) )).
fof(t11_card_3,axiom,( ! [A] : ! [B] : k1_funct_2(A,B) = k4_card_3(k7_funcop_1(A,B)) )).
fof(t11_card_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v4_card_3(k9_xtuple_0(A)) & ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => v4_card_3(k1_funct_1(A,B)) ) ) => v4_card_3(k3_card_3(A)) ) ) )).
fof(t11_card_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ( v2_ordinal2(A) => v2_funct_1(A) ) ) )).
fof(t11_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_card_fil(B,A) => r2_tarski(k1_xboole_0,B) ) ) )).
fof(t11_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ! [C] : ( B != C => k4_card_1(k1_card_fin(A,k5_numbers,B,C)) = 1 ) ) )).
fof(t11_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ( r2_tarski(B,A) & v2_card_lar(C,A) & v1_card_lar(C,A) ) => ( v2_card_lar(k7_subset_1(A,C,B),A) & v1_card_lar(k7_subset_1(A,C,B),A) ) ) ) ) ) )).
fof(t11_cardfin2,axiom,( k2_cardfin2(k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(t11_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k3_cat_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_cat_1(A,B))) => ! [E] : ( m1_subset_1(E,u4_struct_0(k3_cat_1(A,B))) => r2_tarski(E,k2_cat_1(k3_cat_1(A,B),C,D)) ) ) ) )).
fof(t11_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( ( C = E & D = F & k3_graph_1(B,D) = k4_graph_1(B,C) ) => k1_cat_1(B,C,D) = k1_cat_1(A,E,F) ) ) ) ) ) ) ) )).
fof(t11_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(k2_oppcat_1(B))) => r2_funct_2(A,u4_struct_0(B),k5_cat_3(B,A,k8_funcop_1(u4_struct_0(k2_oppcat_1(B)),A,C)),k8_funcop_1(u4_struct_0(B),A,k6_oppcat_1(B,C))) ) ) )).
fof(t11_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => v10_cat_1(k1_cat_4(A),A) ) )).
fof(t11_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => v3_cat_5(k3_cat_1(A,k4_tarski(k4_tarski(A,A),k10_cat_1(A)))) ) )).
fof(t11_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A)))) => ! [E] : ( m1_subset_1(E,k1_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A)))) => ( ( B = D & C = E & r1_cat_6(A,B,C) ) => k2_cat_6(A,B,C) = k2_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A)),D,E) ) ) ) ) ) ) )).
fof(t11_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v8_cat_6(B) & v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v16_cat_6(C,A,B) => ( r2_relset_1(u1_struct_0(A),u1_struct_0(B),k12_cat_6(A,A,B,k13_cat_6(A),C),C) & r2_relset_1(u1_struct_0(A),u1_struct_0(B),k12_cat_6(A,B,B,C,k13_cat_6(B)),C) ) ) ) ) ) )).
fof(t11_catalan1,axiom,( k1_catalan1(1) = 1 )).
fof(t11_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( v1_catalan2(B) & k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(B,A))) = A ) => ( r1_xxreal_0(A,k1_afinsq_1(B)) & k1_afinsq_1(k5_relat_1(B,A)) = A ) ) ) ) )).
fof(t11_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_catalg_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(k5_catalg_1(C),u4_struct_0(B)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(k6_catalg_1(C,D),u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,A) => r2_tarski(k7_catalg_1(C,D,E),u4_struct_0(B)) ) ) ) ) ) ) ) )).
fof(t11_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_cayldick(A) & v4_normsp_0(A) & v3_normsp_0(A) & v2_normsp_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v13_algstr_0(A) & v3_group_1(A) & v5_vectsp_1(A) & v4_vectsp_1(A) & v33_algstr_0(A) & v4_cayldick(A) ) => ( v6_struct_0(A) | k2_cayldick(A,k5_algstr_0(A,B,C)) = k5_algstr_0(A,k2_cayldick(A,B),k2_cayldick(A,C)) ) ) ) ) ) )).
fof(t11_cayley,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => v2_funct_1(k3_cayley(A,B,C)) ) ) ) ) )).
fof(t11_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k2_numbers,B,A)) <=> v4_xxreal_2(k5_cc0sp1(A,B)) ) ) ) )).
fof(t11_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_cc0sp2(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [F] : ( v1_xcmplx_0(F) => ( ( D = B & E = C ) => ( C = k1_clvect_1(k3_cc0sp2(A),B,F) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,E,G) = k3_xcmplx_0(F,k3_funct_2(u1_struct_0(A),k2_numbers,D,G)) ) ) ) ) ) ) ) ) ) )).
fof(t11_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( r1_tarski(k2_relset_1(k2_numbers,A),k1_relset_1(k2_numbers,k2_cfunct_1(k2_numbers,B))) => r2_relset_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,k2_cfunct_1(k2_numbers,B)),k36_valued_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,B))) ) ) ) )).
fof(t11_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) => ( ! [B] : ( v1_xcmplx_0(B) => ~ ( r2_hidden(B,A) & ! [C] : ( m1_cfdiff_1(C,B) => ~ r1_tarski(C,A) ) ) ) => v6_cfdiff_1(A) ) ) )).
fof(t11_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => k1_binop_1(k1_cfuncdom(A),B,k1_funct_1(k3_cfuncdom(A),k4_tarski(k4_xcmplx_0(k6_complex1),B))) = k4_cfuncdom(A) ) ) )).
fof(t11_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => k1_relset_1(A,k2_cfunct_1(A,k2_cfunct_1(A,B))) = k1_relset_1(A,k2_partfun1(A,k2_numbers,B,k1_relset_1(A,k2_cfunct_1(A,B)))) ) ) )).
fof(t11_cgames_1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ! [C] : ( v2_cgames_1(C) => ( r2_tarski(C,k2_cgames_1(B)) => ( ( ~ r2_tarski(A,k6_cgames_1(C)) & ~ r2_tarski(A,k7_cgames_1(C)) ) | r2_tarski(A,k2_cgames_1(B)) ) ) ) ) )).
fof(t11_chain_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ? [B] : ( m1_subset_1(B,k1_numbers) & r2_tarski(B,A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(C,B) ) ) ) ) )).
fof(t11_chord,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => ~ ( r1_xxreal_0(A,3) & A != k5_numbers & A != 2 ) ) )).
fof(t11_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k3_msafree2(A),k2_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(A,D))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(B,E))) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(C,F))) => ( ( G = k5_relat_1(I,u1_struct_0(A)) & H = k5_relat_1(I,u1_struct_0(B)) & v1_circuit2(G,A,D) & v1_circuit2(H,B,E) ) => v1_circuit2(I,C,F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(A,D))) => ( ( H = k5_relat_1(G,u1_struct_0(A)) & v1_circcmb3(H,A,D) ) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(B,E))) => ( ( I = k5_relat_1(k5_facirc_1(C,F,G,k2_circcmb3(A,D,H)),u1_struct_0(B)) & v1_circcmb3(I,B,E) ) => k5_relat_1(k1_circcmb3(C,F,G),u1_struct_0(A)) = k1_circcmb3(A,D,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( r1_circcomb(A,B) => ( k3_msafree2(k2_circcomb(A,B)) = k2_xboole_0(k3_msafree2(A),k3_msafree2(B)) & r1_tarski(k2_msafree2(k2_circcomb(A,B)),k2_xboole_0(k2_msafree2(A),k2_msafree2(B))) ) ) ) ) )).
fof(t11_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k2_circled1(A,B)) ) ) )).
fof(t11_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [D] : ( r2_tarski(D,k2_msafree2(k1_circtrm1(A,B,C))) <=> ( r2_tarski(D,k9_trees_9(C)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,k1_funct_1(B,E)) & D = k1_trees_4(k4_tarski(F,E)) ) ) ) ) ) ) ) )).
fof(t11_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),D)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & v6_trees_3(G) ) => ( ( r2_tarski(C,k7_subset_1(u1_struct_0(A),k3_msafree2(A),k1_msafree2(A))) & k4_card_1(E) = k4_circuit1(A,B,C) & E = k4_trees_4(k4_tarski(k4_msafree2(A,C),u1_struct_0(A)),G) & r2_tarski(F,k10_xtuple_0(G)) ) => k4_card_1(F) = k4_circuit1(A,B,D) ) ) ) ) ) ) ) ) )).
fof(t11_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_msafree2(D,A,B) => ( r2_tarski(C,k1_msafree2(A)) => k5_circuit2(A,B,C,D) = k1_funct_1(k1_circuit1(A,B),C) ) ) ) ) ) )).
fof(t11_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) ) => ( v1_pdiff_7(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r1_ckspace1(A,D,C,B) & r1_ckspace1(A,E,C,B) ) => r1_ckspace1(A,k20_valued_1(k1_euclid(A),k1_numbers,k1_numbers,D,E),C,B) ) ) ) ) ) ) ) )).
fof(t11_classes1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v3_ordinal1(D) => ( ( r1_tarski(B,C) & r2_tarski(C,k3_classes1(A,D)) ) => r2_tarski(B,k3_classes1(A,k1_ordinal1(D))) ) ) )).
fof(t11_classes2,axiom,( ! [A] : ! [B] : ( ( v2_classes1(B) & r2_tarski(A,B) ) => r2_tarski(k1_card_1(A),B) ) )).
fof(t11_clopban1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_clopban1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_clopban1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_clopban1(A,B))) => ( E = k3_rlvect_1(k3_clopban1(A,B),C,D) <=> ! [F] : ( m1_subset_1(F,A) => k4_clopban1(A,B,E,F) = k3_rlvect_1(B,k4_clopban1(A,B,C,F),k4_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t11_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => k4_clopban2(A,k3_clopban2(A,C,B),k3_xcmplx_0(D,E)) = k3_clopban2(A,k4_clopban2(A,C,E),k4_clopban2(A,B,D)) ) ) ) ) ) )).
fof(t11_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k1_normsp_0(A,C,E) = k1_normsp_0(A,D,E) ) ) => k1_normsp_0(A,k1_bhsp_4(A,C),B) = k1_normsp_0(A,k1_bhsp_4(A,D),B) ) ) ) ) ) )).
fof(t11_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_pboole(C,A,k5_mssubfam(A,B)) => ! [D] : ! [E] : ~ ( r2_tarski(D,A) & r2_tarski(E,k1_funct_1(k2_closure1(A,B,k2_msualg_3(A,k5_mssubfam(A,B)),C),D)) & ! [F] : ( ( v2_finset_1(F) & m1_pboole(F,A,k5_mssubfam(A,B)) ) => ~ ( r2_pboole(A,F,C) & r2_tarski(E,k1_funct_1(k2_closure1(A,B,k2_msualg_3(A,k5_mssubfam(A,B)),F),D)) ) ) ) ) ) )).
fof(t11_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_closure2(D,A,C,k2_closure2(A,C)) => r2_tarski(k4_pboole(A,D,B),k2_closure2(A,C)) ) ) ) )).
fof(t11_closure3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => ( r1_tarski(C,D) => r2_pboole(A,k2_closure3(A,B,C),k2_closure3(A,B,D)) ) ) ) ) )).
fof(t11_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xcmplx_0(D) => ( k1_clvect_1(A,C,D) = k1_clvect_1(A,B,D) => ( D = k5_numbers | C = B ) ) ) ) ) ) )).
fof(t11_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(C) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),C,D) != B ) | k1_clvect_2(A,C) = B ) ) ) ) ) )).
fof(t11_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_3(B,A) => v3_clvect_2(k1_bhsp_4(A,B),A) ) ) ) )).
fof(t11_coh_sp,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ( A = k9_setfam_1(k3_tarski(A)) => r2_relset_1(k3_tarski(A),k3_tarski(A),k1_coh_sp(A),k1_eqrel_1(k3_tarski(A))) ) ) )).
fof(t11_cohsp_1,axiom,( ! [A] : ! [B] : v2_cohsp_1(k1_enumset1(A,B,k3_xboole_0(A,B))) )).
fof(t11_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_collsp(A,B,C,D) <=> r2_tarski(D,k1_collsp(A,B,C)) ) ) ) ) ) )).
fof(t11_combgras,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | v4_incproj(k1_combgras(A,B)) ) ) ) ) )).
fof(t11_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( v2_prob_1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k2_relset_1(k9_setfam_1(u1_struct_0(A)),B) => v3_finset_1(C) ) ) ) ) ) )).
fof(t11_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => k4_complex1(k3_xcmplx_0(A,k7_complex1)) = A ) )).
fof(t11_complex2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & k17_sin_cos(A) = k17_sin_cos(B) & k19_sin_cos(A) = k19_sin_cos(B) ) => ( r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),A) | r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),B) | A = B ) ) ) ) )).
fof(t11_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => k5_algstr_0(k1_complfld,A,k4_algstr_0(k1_complfld,B)) = k3_rlvect_1(k1_complfld,A,B) ) ) )).
fof(t11_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) & v2_compos_0(A) ) => ! [B] : ( m1_subset_1(B,A) => ( k2_compos_0(B) = k1_xboole_0 => k6_compos_0(A,k5_compos_0(A,B)) = k6_domain_1(k4_ordinal1,k5_numbers) ) ) ) )).
fof(t11_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => k4_card_1(k2_compos_2(A,C,B)) = k2_xcmplx_0(k4_card_1(C),1) ) ) ) )).
fof(t11_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r2_hidden(A,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) & r1_xxreal_0(k1_funct_1(k18_sin_cos,A),k5_numbers) ) ) )).
fof(t11_compts_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v8_pre_topc(A) & v2_compts_1(B,A) & v2_compts_1(C,A) ) => v2_compts_1(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t11_comput_1,axiom,( ! [A] : ( ( v4_funct_1(A) & v1_comput_1(A) ) <=> ( v1_relat_1(k3_tarski(A)) & v1_funct_1(k3_tarski(A)) ) ) )).
fof(t11_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k31_valued_1(k4_ordinal1,k2_numbers,A),k25_valued_1(k4_ordinal1,k2_numbers,A,k4_xcmplx_0(k6_complex1))) ) )).
fof(t11_comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k2_comseq_3(A,k5_numbers) = k6_complex1 ) )).
fof(t11_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) => ( r1_tarski(B,k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),C)) <=> r1_tarski(C,k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)) ) ) ) ) )).
fof(t11_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( ~ v4_conlat_1(k3_funct_2(u1_struct_0(A),u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A),B),A) & v6_conlat_1(k3_funct_2(u1_struct_0(A),u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A),B),A) & l2_conlat_1(k3_funct_2(u1_struct_0(A),u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A),B),A) & ~ v4_conlat_1(k3_funct_2(u4_struct_0(A),u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A),C),A) & v6_conlat_1(k3_funct_2(u4_struct_0(A),u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A),C),A) & l2_conlat_1(k3_funct_2(u4_struct_0(A),u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A),C),A) ) ) ) ) )).
fof(t11_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v2_conaffm(A) => v5_conmetr(A) ) ) )).
fof(t11_conmetr1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v1_aff_2(A) <=> v4_conmetr1(A) ) ) )).
fof(t11_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k2_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & B != k1_struct_0(A) & C != k1_struct_0(A) & v3_pre_topc(B,A) & v3_pre_topc(C,A) & r1_xboole_0(B,C) ) ) ) ) ) )).
fof(t11_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_connsp_1(B,A) & r1_tarski(B,C) ) => r3_connsp_1(A,C,B) ) ) ) ) )).
fof(t11_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_connsp_1(B,A) => ( B = k1_xboole_0 | k1_connsp_3(A,k1_connsp_3(A,B)) = k1_connsp_3(A,B) ) ) ) ) )).
fof(t11_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( v1_convex1(B,A) & v1_convex1(C,A) ) => v1_convex1(k7_rusub_4(A,k1_convex1(A,B,D),k1_convex1(A,C,E)),A) ) ) ) ) ) ) )).
fof(t11_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => k3_rusub_4(A,k2_rlsub_2(A,B,C)) = k9_subset_1(u1_struct_0(A),k3_rusub_4(A,B),k3_rusub_4(A,C)) ) ) ) )).
fof(t11_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_clvect_1(A) ) => k4_convex4(A,k2_convex4(A)) = k4_struct_0(A) ) )).
fof(t11_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => m2_subset_1(k3_qc_lang2(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) ) ) )).
fof(t11_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_qc_lang2(A,B,k7_cqc_lang(A,B,C)) & r2_qc_lang2(A,C,k7_cqc_lang(A,B,C)) ) ) ) ) )).
fof(t11_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r2_tarski(C,k1_cqc_the1(A,B)) & r2_tarski(k8_cqc_lang(A,C,D),k1_cqc_the1(A,B)) ) => r2_tarski(D,k1_cqc_the1(A,B)) ) ) ) ) ) )).
fof(t11_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ~ r2_tarski(C,k24_qc_lang1(A,k7_qc_lang2(A,C,D,B))) & ~ r2_tarski(D,k24_qc_lang1(A,k7_qc_lang2(A,C,D,B))) ) ) ) ) ) )).
fof(t11_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_cqc_the3(A,k6_domain_1(k3_cqc_lang(A),B),k6_domain_1(k3_cqc_lang(A),C)) <=> r1_cqc_the3(A,B,C) ) ) ) ) )).
fof(t11_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) => ( v1_xboole_0(B) | m1_clvect_1(g1_clvect_1(B,k8_csspace(A,B),k6_csspace(A,B),k7_csspace(A,B)),A) ) ) ) ) )).
fof(t11_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v1_comseq_3(A) & ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k1_funct_1(k7_comseq_3(A),B)) & k1_funct_1(k8_comseq_3(A),B) = k5_numbers ) ) ) => k9_complex1(k11_comseq_3(A)) = k4_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)) ) ) )).
fof(t11_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => k4_struct_0(k5_csspace4(A,B)) = k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) ) ) )).
fof(t11_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( v1_dblseq_1(A) & v1_dblseq_1(B) ) => ( v1_dblseq_1(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)) & k1_dblseq_1(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)) = k2_xcmplx_0(k1_dblseq_1(A),k1_dblseq_1(B)) ) ) ) ) )).
fof(t11_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k1_binop_1(k4_dblseq_2(A),k1_nat_1(B,1),C) = k2_xcmplx_0(k1_binop_1(k2_dblseq_2(A),k1_nat_1(B,1),C),k1_binop_1(k4_dblseq_2(A),B,C)) & k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,k1_nat_1(C,1)) = k2_xcmplx_0(k1_binop_1(k3_dblseq_2(A),B,k1_nat_1(C,1)),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,C)) ) ) ) ) )).
fof(t11_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k8_decomp_1(A),k15_decomp_1(A)) = k6_decomp_1(A) ) )).
fof(t11_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k8_descip_1(A,B,k5_numbers) = B ) ) ) )).
fof(t11_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_dickson(A),B) = k6_domain_1(u1_struct_0(A),B) ) ) )).
fof(t11_diff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),1),B) = k6_xcmplx_0(k1_funct_1(k2_diff_1(C,A),B),k1_funct_1(C,B)) ) ) ) )).
fof(t11_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_diff_2(k26_valued_1(k1_numbers,k1_numbers,G,A),B,C,D,E,F) = k3_xcmplx_0(A,k1_diff_2(G,B,C,D,E,F)) ) ) ) ) ) ) ) )).
fof(t11_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),1),k4_diff_1(B,A)) ) ) )).
fof(t11_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k2_fdiff_9)) & r2_tarski(k2_xcmplx_0(B,A),k1_relset_1(k1_numbers,k2_fdiff_9)) ) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k2_fdiff_9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2,B),A))),k17_sin_cos(A)),k1_square_1(k6_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2,B),A)),k19_sin_cos(A))))) ) ) ) )).
fof(t11_dilworth,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_waybel_4(A,B,C) & r1_orders_2(A,C,D) ) => ( v1_dilworth(k2_xboole_0(B,k1_tarski(D)),A) & m1_subset_1(k2_xboole_0(B,k1_tarski(D)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) ) )).
fof(t11_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_diraf(A,B,C,D) & r1_diraf(A,B,D,E) ) => r1_diraf(A,C,D,E) ) ) ) ) ) ) )).
fof(t11_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ( v2_dirort(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r4_analmetr(A,B,C,E,F) & r2_dirort(A,E,F,D,G) ) => ( E = F | r4_analmetr(A,B,C,D,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r2_tarski(C,k5_dist_1(A,B)) => k4_dist_1(A,B) = k4_dist_1(A,C) ) ) ) ) )).
fof(t11_dist_2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k4_finseq_1(B))) => ( k3_finseq_1(k5_dist_2(A,B,C)) = k4_card_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(k5_dist_2(A,B,C))) => k1_funct_1(k5_dist_2(A,B,C),D) = k1_funct_1(B,k1_funct_1(k19_finseq_1(C),D)) ) ) ) ) ) )).
fof(t11_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ( ! [F] : ( r2_tarski(F,A) <=> ? [G] : ( m1_subset_1(G,B) & ? [H] : ( m1_subset_1(H,C) & ? [I] : ( m1_subset_1(I,D) & ? [J] : ( m1_subset_1(J,E) & F = k6_xtuple_0(G,H,I,J) ) ) ) ) ) => A = k4_zfmisc_1(B,C,D,E) ) ) ) ) ) ) )).
fof(t11_dtconstr,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => A = k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,A)) ) )).
fof(t11_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_rlsub_1(g1_rlvect_1(k7_dualsp01(A),k7_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k5_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A)),k6_rsspace(k10_funcsdom(u1_struct_0(A)),k7_dualsp01(A))),k10_funcsdom(u1_struct_0(A))) ) )).
fof(t11_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_dualsp02)) => ( B = C => k1_real_1(B) = k4_algstr_0(k3_dualsp02,C) ) ) ) ) )).
fof(t11_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_dynkin(k9_setfam_1(A),A) ) )).
fof(t11_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k4_xboole_0(u1_e_siec(A),k4_relat_1(k9_xtuple_0(u1_e_siec(A)))) = k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))) & k4_xboole_0(u2_e_siec(A),k4_relat_1(k9_xtuple_0(u2_e_siec(A)))) = k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))) & k4_xboole_0(u1_e_siec(A),k4_relat_1(k10_xtuple_0(u1_e_siec(A)))) = k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))) & k4_xboole_0(u2_e_siec(A),k4_relat_1(k10_xtuple_0(u2_e_siec(A)))) = k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))) ) ) )).
fof(t11_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => k5_numbers = k4_struct_0(k9_int_3(A)) ) )).
fof(t11_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k8_group_1(A,k8_group_1(A,k8_group_1(A,B,C),D),E) = k8_group_1(A,B,k8_group_1(A,k8_group_1(A,C,D),E)) & k8_group_1(A,k8_group_1(A,k8_group_1(A,k8_group_1(A,B,C),D),E),F) = k8_group_1(A,B,k8_group_1(A,k8_group_1(A,k8_group_1(A,C,D),E),F)) ) ) ) ) ) ) ) )).
fof(t11_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)) = k1_group_1(k6_endalg(A,B)) ) ) )).
fof(t11_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ( k2_xfamily(k5_ens_1(A,B)) = k6_partfun1(B) & k3_ens_1(A,k5_ens_1(A,B)) = B & k4_ens_1(A,k5_ens_1(A,B)) = B ) ) ) )).
fof(t11_entropy1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( r1_entropy1(C,B) => ( A = B | k1_funct_1(C,A) = k5_numbers ) ) ) ) ) )).
fof(t11_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F)) )).
fof(t11_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,A)))) => ( ! [C] : ( r2_tarski(C,B) => ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) => ( B = k1_xboole_0 | ( v3_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B)) & v8_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B)) & v1_partfun1(k6_setfam_1(k2_zfmisc_1(A,A),B),A) & m1_subset_1(k6_setfam_1(k2_zfmisc_1(A,A),B),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) ) )).
fof(t11_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( r2_pboole(A,B,k2_funct_6(C)) => r6_pboole(A,k9_pboole(A,k1_equation(A,B,C),C),B) ) ) ) )).
fof(t11_euclid,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => k12_euclid(k10_rvsum_1(B,A)) = k3_xcmplx_0(k9_complex1(A),k12_euclid(B)) ) ) )).
fof(t11_euclid10,axiom,( ! [A] : ( v1_xreal_0(A) => k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),3),A)) = k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,3),A)) ) )).
fof(t11_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k1_square_1(k12_euclid(k4_rvsum_1(A,B))) = k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_euclid(A)),k3_xcmplx_0(2,k22_rvsum_1(B,A))),k1_square_1(k12_euclid(B))) ) ) ) )).
fof(t11_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k1_euclid_3(k4_xcmplx_0(A)) = k4_algstr_0(k15_euclid(2),k1_euclid_3(A)) ) )).
fof(t11_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( ( r2_tarski(D,k2_euclid_4(A,B,C)) & r2_tarski(E,k2_euclid_4(A,B,C)) ) => ( D = E | r1_tarski(k2_euclid_4(A,B,C),k2_euclid_4(A,D,E)) ) ) ) ) ) ) ) )).
fof(t11_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k4_algstr_0(k15_euclid(3),k4_euclid_5(A,B,C)) = k4_euclid_5(k4_xcmplx_0(A),k4_xcmplx_0(B),k4_xcmplx_0(C)) ) ) ) )).
fof(t11_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( k4_euclid_3(A,C,B) = k28_sin_cos => r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) ) )).
fof(t11_euclid_7,axiom,( v1_funct_1(k1_xboole_0) & v1_funct_2(k1_xboole_0,k1_xboole_0,k1_xboole_0) & v3_funct_2(k1_xboole_0,k1_xboole_0,k1_xboole_0) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,k1_xboole_0))) )).
fof(t11_euclid_8,axiom,( k22_rvsum_1(k3_euclid_8,k3_euclid_8) = 1 )).
fof(t11_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ( ~ r1_xxreal_0(B,k5_numbers) => r2_tarski(C,k4_euclid_9(A,C,B)) ) ) ) ) )).
fof(t11_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(C)) => ( k9_euclid(C,D,k6_xcmplx_0(A,B)) = k7_euclid(C,k9_euclid(C,D,A),k9_euclid(C,D,k4_xcmplx_0(B))) & k9_euclid(C,D,k6_xcmplx_0(A,B)) = k7_euclid(C,k9_euclid(C,D,A),k6_euclid(C,k9_euclid(C,D,B))) & k9_euclid(C,D,k6_xcmplx_0(A,B)) = k8_euclid(C,k9_euclid(C,D,A),k9_euclid(C,D,B)) ) ) ) ) ) )).
fof(t11_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v3_euclmetr(A) <=> v1_conaffm(A) ) ) )).
fof(t11_euler_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => k1_card_1(A) = k1_card_1(B) ) ) ) )).
fof(t11_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( A != k5_numbers => k4_nat_d(k2_wsierp_1(k2_euler_2(B,A)),A) = k4_nat_d(k2_wsierp_1(B),A) ) ) ) )).
fof(t11_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v3_exchsort(B,A) & ~ v1_xboole_0(B) & v1_exchsort(B) ) <=> ? [C] : ( v3_ordinal1(C) & k9_xtuple_0(B) = k6_subset_1(A,C) & r2_tarski(C,A) ) ) ) ) )).
fof(t11_extens_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,C) => ! [F] : ( m2_pboole(F,A,C,D) => ! [G] : ( ( v2_relat_1(G) & m3_pboole(G,A,C) ) => ( r2_pboole(A,k2_funct_6(E),G) => k8_pboole(E,k1_msafree(A,C,D,G,F)) = k3_msualg_3(A,B,C,D,E,F) ) ) ) ) ) ) ) )).
fof(t11_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) ) => ( r1_tarski(k17_funcop_1(C,k2_compos_1(B)),D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v5_memstr_0(E,A,B,C) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & v1_partfun1(F,u1_struct_0(B)) ) => ( r1_tarski(E,F) => ! [G] : ( v7_ordinal1(G) => k5_extpro_1(A,B,D,F,G) = F ) ) ) ) ) ) ) ) ) )).
fof(t11_extreal1,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k6_numbers) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & v3_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A),k4_finseq_1(A)))) ) => ( B = k1_partfun1(k4_finseq_1(A),k4_finseq_1(A),k4_ordinal1,k6_numbers,C,A) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) | k4_extreal1(A) = k4_extreal1(B) ) ) ) ) ) )).
fof(t11_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => k5_facirc_1(A,B,C,k5_numbers) = C ) ) ) )).
fof(t11_fcont_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,C)) & r1_fcont_1(B,A) & r1_fcont_1(C,A) ) => ( k1_funct_1(B,A) = k5_numbers | r1_fcont_1(k3_rfunct_1(k1_numbers,k1_numbers,C,B),A) ) ) ) ) ) )).
fof(t11_fcont_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,A)) & v1_rcomp_1(B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,A,B)) ) => v1_fcont_2(k2_partfun1(k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t11_fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_rfunct_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => ( ! [C] : ( v1_xreal_0(C) => k7_relset_1(k1_numbers,k1_numbers,B,A) != k10_prob_1(C) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t11_fdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,B)) => ( ! [C] : ( v1_xreal_0(C) => k2_relset_1(k1_numbers,B) != k1_tarski(C) ) | ( r2_fdiff_1(B,A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(B,A),C) = k5_numbers ) ) ) ) ) ) ) )).
fof(t11_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k27_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k27_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k27_sin_cos),A),B) = k6_xcmplx_0(k4_xcmplx_0(k1_funct_1(k18_sin_cos,B)),k7_xcmplx_0(k1_funct_1(k18_sin_cos,B),k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t11_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k1_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k2_sin_cos9,B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k2_sin_cos9,B)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k1_sin_cos9),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(k2_xcmplx_0(1,k1_square_1(B)),k2_xcmplx_0(1,k1_square_1(k1_funct_1(k2_sin_cos9,B)))))) ) ) ) ) ) )).
fof(t11_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_fdiff_1(B,A) <=> ( ? [C] : ( m1_rcomp_1(C,A) & r1_tarski(C,k1_relset_1(k1_numbers,B)) ) & ! [C] : ( ( v1_funct_1(C) & v9_ordinal1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v1_fdiff_1(C,k5_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,D) = k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D)),k1_relset_1(k1_numbers,B)) ) => v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,C),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D),B),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,D,B)))) ) ) ) ) ) ) ) )).
fof(t11_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r4_fdiff_3(A,C) & r4_fdiff_3(B,C) ) => ( r4_fdiff_3(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) & k1_fdiff_3(C,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)) = k6_xcmplx_0(k1_fdiff_3(C,A),k1_fdiff_3(C,B)) ) ) ) ) ) )).
fof(t11_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C),k26_valued_1(k1_numbers,k1_numbers,D,k6_xcmplx_0(B,A))))) & D = k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k3_taylor_1) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => ( k1_funct_1(E,F) = k6_xcmplx_0(F,B) & ~ r1_xxreal_0(k1_funct_1(E,F),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C),k26_valued_1(k1_numbers,k1_numbers,D,k6_xcmplx_0(B,A))),C) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C),k26_valued_1(k1_numbers,k1_numbers,D,k6_xcmplx_0(B,A))),C),F) = k7_xcmplx_0(k6_xcmplx_0(F,A),k6_xcmplx_0(F,B)) ) ) ) ) ) ) ) ) ) )).
fof(t11_fdiff_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k18_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A))))) & r1_xxreal_0(1,A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(A,D) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k18_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A))),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k18_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A))),B),D) = k3_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k16_sin_cos,D),k6_xcmplx_0(A,1))),k1_funct_1(k18_sin_cos,k3_xcmplx_0(k2_xcmplx_0(A,1),D))) ) ) ) ) ) ) ) )).
fof(t11_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(D,k3_power(k4_power,A)) ) ) ) => ( r1_xxreal_0(A,k5_numbers) | ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),B),D) = k3_xcmplx_0(k6_prepower(A,D),k3_power(k4_power,A)) ) ) ) ) ) ) ) ) )).
fof(t11_fdiff_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(A)))) & r1_tarski(B,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(A)),B) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(A)),B),C) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k3_sin_cos6,C),k6_xcmplx_0(A,1))),k3_square_1(k6_xcmplx_0(1,k1_square_1(C))))) ) ) ) ) ) ) )).
fof(t11_fdiff_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k27_sin_cos))) & F = k1_taylor_1(2) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(E,G) = k2_xcmplx_0(A,k3_xcmplx_0(B,G)) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k27_sin_cos),D) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k27_sin_cos),D),G) = k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),G)),k1_square_1(k1_funct_1(k16_sin_cos,k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,G)),k3_xcmplx_0(C,k1_square_1(G))))))) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_fdiff_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k2_fdiff_9))) & F = k1_taylor_1(2) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(E,G) = k2_xcmplx_0(A,k3_xcmplx_0(B,G)) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k2_fdiff_9),D) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k2_fdiff_9),D),G) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),G)),k1_funct_1(k18_sin_cos,k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,G)),k3_xcmplx_0(C,k1_square_1(G))))),k1_square_1(k1_funct_1(k16_sin_cos,k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,G)),k3_xcmplx_0(C,k1_square_1(G))))))) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k3_relat_1(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k5_relat_1(k1_net_1(A),u4_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k5_relat_1(k1_net_1(A),u4_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k5_relat_1(k1_net_1(A),u1_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k5_relat_1(k1_net_1(A),u1_struct_0(A))) = k1_xboole_0 ) ) )).
fof(t11_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_power(k4_xcmplx_0(1),k4_xcmplx_0(A)) = k2_power(k4_xcmplx_0(1),A) ) )).
fof(t11_fib_num3,axiom,( k1_fib_num3(k5_numbers) = 2 & k1_fib_num3(1) = 1 & ! [A] : ( v7_ordinal1(A) => k1_fib_num3(k1_nat_1(k1_nat_1(A,1),1)) = k1_nat_1(k1_fib_num3(A),k1_fib_num3(k1_nat_1(A,1))) ) )).
fof(t11_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( v1_abian(A) & v1_abian(B) & r1_xxreal_0(B,A) ) => r1_xxreal_0(k2_power(k2_fib_num,A),k2_power(k2_fib_num,B)) ) ) ) )).
fof(t11_filerec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( B = k9_finseq_1(A) => k16_finseq_1(1,B) = k9_finseq_1(A) ) ) )).
fof(t11_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => r2_tarski(k6_lattices(A),B) ) ) ) )).
fof(t11_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m2_filter_1(C,A,B) => ! [D] : ( m2_filter_1(D,A,B) => ( r6_binop_1(A,C,D) => r6_binop_1(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k3_filter_1(A,B,D)) ) ) ) ) ) )).
fof(t11_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v15_lattices(B) & v16_lattices(B) & l3_lattices(B) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F & r2_lattices(A,C,D) ) => r2_lattices(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t11_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k12_fin_topo(A,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,C) & r2_tarski(B,k1_fin_topo(A,D)) ) ) ) ) ) )).
fof(t11_finance1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( m1_finance1(B) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => k4_finance1(C,A,B) = k2_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,A,k5_numbers),k5_finance1(C,A,B)) ) ) ) ) )).
fof(t11_finance2,axiom,( m1_prob_1(k1_numbers,k1_numbers,k12_prob_1) )).
fof(t11_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ~ ( ? [B] : ( v7_ordinal1(B) & r1_tarski(k9_xtuple_0(A),k2_finseq_1(B)) ) & ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ r1_tarski(A,B) ) ) ) )).
fof(t11_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ( r2_hidden(A,k4_finseq_1(C)) => r2_tarski(k1_funct_1(C,A),B) ) ) ) )).
fof(t11_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) => r2_tarski(k1_nat_1(A,1),k2_finseq_1(B)) ) ) ) )).
fof(t11_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_finseq_4(A,B) => k8_relat_1(A,k1_tarski(B)) = k1_tarski(k1_finseq_4(A,B)) ) ) )).
fof(t11_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) & v1_finseq_1(B) ) => ( r2_tarski(A,k4_finseq_1(B)) => k4_finseq_4(B,k1_funct_1(B,A)) = A ) ) ) )).
fof(t11_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( r1_tarski(C,k4_finseq_1(A)) => k5_relat_1(k7_finseq_1(A,B),C) = k5_relat_1(A,C) ) ) ) )).
fof(t11_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(F,k3_finseq_1(B)) ) => ( r1_xxreal_0(F,E) | k1_finseq_7(A,k1_finseq_7(A,B,F,D),E,C) = k8_finseq_1(A,k8_finseq_1(A,k8_finseq_1(A,k8_finseq_1(A,k17_finseq_1(A,k7_nat_d(E,1),B),k12_finseq_1(A,C)),k17_finseq_1(A,k7_nat_d(k7_nat_d(F,E),1),k2_rfinseq(A,E,B))),k12_finseq_1(A,D)),k2_rfinseq(A,F,B)) ) ) ) ) ) ) ) ) )).
fof(t11_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k4_finseq_8(A,B,C) = k8_finseq_1(A,k17_finseq_1(A,k7_nat_d(k3_finseq_1(B),k3_finseq_1(k3_finseq_8(A,B,C))),B),C) ) ) ) )).
fof(t11_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [G] : ( ( v3_card_1(G,D) & m2_finseq_1(G,A) ) => ! [H] : ( ( v3_card_1(H,D) & m2_finseq_1(H,B) ) => ! [I] : ( ( v3_card_1(I,E) & m2_finseq_1(I,A) ) => ! [J] : ( ( v3_card_1(J,E) & m2_finseq_1(J,B) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,F,k8_finseq_1(A,G,I),k8_finseq_1(B,H,J)),k8_finseq_1(C,k1_finseqop(A,B,C,F,G,H),k1_finseqop(A,B,C,F,I,J))) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_finset_1,axiom,( ! [A] : ~ ( v1_finset_1(A) & A != k1_xboole_0 & v6_ordinal1(A) & ! [B] : ~ ( r2_tarski(B,A) & ! [C] : ( r2_tarski(C,A) => r1_tarski(B,C) ) ) ) )).
fof(t11_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => k1_finsop_1(A,k12_finseq_1(A,B),C) = B ) ) ) )).
fof(t11_finsub_1,axiom,( ! [A] : ! [B] : k5_finsub_1(k3_xboole_0(A,B)) = k3_xboole_0(k5_finsub_1(A),k5_finsub_1(B)) )).
fof(t11_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k9_fin_topo(A,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k1_fintopo2(A,B,D,C) = k7_margrel1 ) ) ) ) ) )).
fof(t11_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_subset_1(u1_struct_0(A),k12_fin_topo(A,B),k12_fin_topo(A,C)) = k12_fin_topo(A,k4_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t11_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_fin_topo(A) => ( r1_fintopo4(A,B,C) <=> r1_xboole_0(B,k9_fin_topo(A,C)) ) ) ) ) ) )).
fof(t11_fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v3_orders_2(k3_fintopo5(A,B)) ) ) )).
fof(t11_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_fin_topo(B,A) <=> v2_fin_topo(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t11_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_catalan2(A)) => ( k1_flang_1(A,B,B) = B => B = k1_xboole_0 ) ) )).
fof(t11_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k7_flang_1(A,k7_flang_1(A,B,C),D) = k7_flang_1(A,k7_flang_1(A,B,D),C) ) ) ) )).
fof(t11_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ( k1_flang_3(A,B,C) = k8_flang_1(A,B) <=> ( r2_tarski(k2_flang_1(A),B) | C = k5_numbers ) ) ) ) )).
fof(t11_fomodel0,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => k4_finseq_2(B,A) = k1_funct_2(k2_finseq_1(B),A) ) )).
fof(t11_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => k7_subset_1(k15_fomodel1(A),k17_fomodel1(A),k4_fomodel1(A)) = k5_fomodel1(A) ) )).
fof(t11_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k20_fomodel2(B,C,k22_fomodel2(B,A,C))) = k2_zfmisc_1(k15_fomodel2(B,C),k28_fomodel2(B,A)) ) ) ) )).
fof(t11_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(C,B)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(D),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(D,B)) => ( ( k5_relat_1(E,A) = k5_relat_1(F,A) & k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),A) = k2_partfun1(k6_subset_1(u1_struct_0(D),k1_tarski(u3_struct_0(D))),k4_numbers,u1_fomodel1(D),A) ) => k2_partfun1(k35_fomodel1(C),B,k9_fomodel2(C,B,E),k3_finseq_2(A)) = k2_partfun1(k35_fomodel1(D),B,k9_fomodel2(D,B,F),k3_finseq_2(A)) ) ) ) ) ) ) )).
fof(t11_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(D)),k9_setfam_1(k1_fomodel4(D))))) => ( ( r1_tarski(A,B) & v9_fomodel4(C,D,E,A) ) => v9_fomodel4(C,D,E,B) ) ) ) )).
fof(t11_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_pcomps_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B = C & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_frechet(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_frechet(A,B)))) ) => ~ ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_frechet(A,B),D,E) = k8_metric_1(A,C,k7_xcmplx_0(1,k1_nat_1(E,1))) ) ) ) ) ) ) )).
fof(t11_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(B),E,k1_partfun1(k4_ordinal1,u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C)) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_frechet(A,D)),k2_frechet(B,E)) ) ) ) ) ) ) ) )).
fof(t11_friends1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v2_relat_2(C) & v3_relat_2(C) & v1_finset_1(C) & v3_friends1(C) ) => ( ( r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(C)) ) => ( v2_friends1(C) | k4_card_1(k9_relat_1(C,A)) = k4_card_1(k9_relat_1(C,B)) ) ) ) )).
fof(t11_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ( ( E = k1_funct_1(D,B) & F = k1_funct_1(D,C) ) => k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(E,F) ) ) ) ) ) ) ) )).
fof(t11_fscirc_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_relat_1(k3_msafree2(k1_fscirc_2(A,B,C))) ) ) ) )).
fof(t11_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( ~ v2_struct_0(E) & l2_fsm_1(E,A,B) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( r1_fsm_1(A,E,C,F,G) => k4_fsm_1(A,B,E,F,k8_finseq_1(A,C,D)) = k8_finseq_1(B,k4_fsm_1(A,B,E,F,C),k4_fsm_1(A,B,E,G,D)) ) ) ) ) ) ) ) ) )).
fof(t11_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & l1_fsm_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ~ ( v1_fsm_2(C,A) & r1_fsm_2(A,C,D,B) & ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ? [F] : ( m2_finseq_1(F,A) & r1_xxreal_0(E,k1_nat_1(k3_finseq_1(F),1)) & k1_funct_1(F,1) = B & ~ ( D = k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),F),E) & ! [G] : ( ( ~ v8_ordinal1(G) & m1_subset_1(G,k4_ordinal1) ) => ~ ( ~ r1_xxreal_0(E,G) & k1_funct_1(k2_fsm_1(A,C,u2_fsm_1(A,C),F),G) = D ) ) ) ) ) ) ) ) ) ) )).
fof(t11_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( l1_rewrite3(B,k9_flang_1(A)) => ( ( v1_relat_1(u1_rewrite3(k9_flang_1(A),B)) & v1_funct_1(u1_rewrite3(k9_flang_1(A),B)) ) => v2_rewrite3(B,A,k9_flang_1(A)) ) ) ) )).
fof(t11_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k3_msafree2(k7_ftacell1(A,B,C,D,E)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),k24_gfacirc1(A,B,C)),k2_enumset1(k4_tarski(k10_finseq_1(A,B),k3_gfacirc1),k4_tarski(k10_finseq_1(B,C),k2_twoscomp),k4_tarski(k10_finseq_1(C,A),k3_facirc_1),k21_gfacirc1(A,B,C))),k2_tarski(k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k4_gfacirc1),k36_gfacirc1(k24_gfacirc1(A,B,C),E,D))),k2_enumset1(k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k2_twoscomp),k4_tarski(k10_finseq_1(E,D),k3_gfacirc1),k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp),k33_gfacirc1(k24_gfacirc1(A,B,C),E,D))) )).
fof(t11_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = B ) => A = k2_funcop_1(k9_xtuple_0(A),B) ) ) )).
fof(t11_funcsdom,axiom,( ! [A] : ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => k1_binop_1(k5_funcsdom(A),B,k1_funct_1(k7_funcsdom(A),k4_tarski(k4_xcmplx_0(1),B))) = k8_funcsdom(A) ) )).
fof(t11_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,k9_xtuple_0(k3_relat_1(B,C))) <=> ( r2_hidden(A,k9_xtuple_0(B)) & r2_tarski(k1_funct_1(B,A),k9_xtuple_0(C)) ) ) ) ) )).
fof(t11_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( r2_hidden(C,k2_relset_1(B,D)) & ! [E] : ~ ( r2_hidden(E,A) & k1_funct_1(D,E) = C ) ) ) )).
fof(t11_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k8_relat_1(k1_funct_3(B),A),k1_zfmisc_1(k9_xtuple_0(B))) ) )).
fof(t11_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ~ r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(k1_funct_4(A,B),C) = k1_funct_1(A,C) ) ) ) )).
fof(t11_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,k2_zfmisc_1(A,B)) => ( r1_tarski(k9_xtuple_0(C),A) & r1_tarski(k10_xtuple_0(C),B) ) ) )).
fof(t11_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k1_funct_2(A,k1_funct_2(B,C))) => ( r2_tarski(k2_funct_5(D),k1_funct_2(k2_zfmisc_1(A,B),C)) & r2_tarski(k4_funct_5(D),k1_funct_2(k2_zfmisc_1(B,A),C)) ) ) ) )).
fof(t11_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_xboole_0(k10_xtuple_0(A),k9_xtuple_0(B)) => k3_relat_1(A,k1_funct_4(C,B)) = k3_relat_1(A,C) ) ) ) ) )).
fof(t11_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_funct_8(A,k1_numbers,k1_numbers,B) & r1_funct_8(A,k1_numbers,k1_numbers,C) ) => r1_funct_8(A,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t11_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_funct_9(B,A) => v1_funct_9(k35_valued_1(B),A) ) ) ) )).
fof(t11_functor0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v2_funct_2(C,B) => r1_relset_1(B,B,k6_partfun1(B),k7_relset_1(k2_zfmisc_1(A,A),k2_zfmisc_1(B,B),k16_funct_3(A,A,B,B,C,C),k6_partfun1(A))) ) ) )).
fof(t11_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) ) => ! [D] : ( ( v8_functor0(D,A,B) & l2_functor0(D,A,B) ) => ! [E] : ( l2_functor0(E,B,C) => ( ( v20_functor0(D,A,B) & v20_functor0(E,B,C) ) => v20_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) ) ) ) ) )).
fof(t11_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,A,B) & m2_functor0(F,A,B) ) => ! [G] : ( m2_functor2(G,A,B,C,D) => ! [H] : ( m2_functor2(H,A,B,D,E) => ( ( r2_functor2(A,B,C,D) & r2_functor2(A,B,D,E) & r2_functor2(A,B,E,F) ) => ! [I] : ( m2_functor2(I,A,B,E,F) => r8_pboole(u1_struct_0(A),k5_functor2(A,B,C,D,F,G,k5_functor2(A,B,D,E,F,H,I)),k5_functor2(A,B,C,E,F,k5_functor2(A,B,C,D,E,G,H),I)) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( m1_functor2(G,A,B,D,E) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r1_functor2(A,B,D,E) => k2_functor2(A,C,k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,E,F),k5_functor3(A,B,C,D,E,G,F),H) = k6_functor0(B,C,F,k3_functor0(A,B,D,H),k3_functor0(A,B,E,H),k2_functor2(A,B,D,E,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(t11_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(k6_xcmplx_0(B,A),k5_numbers) => k2_relset_1(k1_numbers,k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k6_xcmplx_0(B,A))),k7_xcmplx_0(B,k6_xcmplx_0(B,A))),k4_rcomp_1(A,B))) = k3_rcomp_1(k5_numbers,1) ) ) ) )).
fof(t11_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_funct_2(A,k1_numbers,k3_fuzzy_1(A,k2_fuzzy_1(A,B,C)),k1_fuzzy_1(A,k3_fuzzy_1(A,B),k3_fuzzy_1(A,C))) & r2_funct_2(A,k1_numbers,k3_fuzzy_1(A,k1_fuzzy_1(A,B,C)),k2_fuzzy_1(A,k3_fuzzy_1(A,B),k3_fuzzy_1(A,C))) ) ) ) ) )).
fof(t11_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_funct_2(A,k1_numbers,k1_fuzzy_2(A,B,k1_fuzzy_2(A,D,C)),k2_fuzzy_1(A,k1_fuzzy_2(A,B,D),k1_fuzzy_1(A,B,C))) ) ) ) ) )).
fof(t11_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(B,A),k1_numbers,k1_fuzzy_4(B,A,k1_fuzzy_2(k2_zfmisc_1(A,B),C,D)),k1_fuzzy_2(k2_zfmisc_1(B,A),k1_fuzzy_4(B,A,C),k1_fuzzy_4(B,A,D))) ) ) ) ) )).
fof(t11_fvaluat1,axiom,( ! [A] : ( v1_fvaluat1(A) => ~ r1_xxreal_0(A,k2_xxreal_0) ) )).
fof(t11_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k2_fvsum_1(A),B,C) = k5_algstr_0(A,B,C) ) ) ) )).
fof(t11_gate_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(k5_gate_1(A,B)) <=> v1_xboole_0(k4_gate_1(A,B)) ) )).
fof(t11_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => r2_hidden(A,k8_gaussint) ) )).
fof(t11_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D != k4_struct_0(A) => ( ( ( r2_gcd_1(A,D,k8_group_1(A,B,C)) & r2_gcd_1(A,D,B) ) => k1_gcd_1(A,k8_group_1(A,B,C),D) = k8_group_1(A,k1_gcd_1(A,B,D),C) ) & ( ( r2_gcd_1(A,D,k8_group_1(A,B,C)) & r2_gcd_1(A,D,C) ) => k1_gcd_1(A,k8_group_1(A,B,C),D) = k8_group_1(A,B,k1_gcd_1(A,C,D)) ) ) ) ) ) ) ) )).
fof(t11_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v2_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m1_genealg1(D,C) => ! [E] : ( m1_genealg1(E,C) => ( ( r1_xxreal_0(k3_finseq_1(D),A) & r1_xxreal_0(k3_finseq_1(D),B) ) => k8_genealg1(C,D,E,A,B) = D ) ) ) ) ) ) )).
fof(t11_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_analoaf(A,B,k1_geomtrap(A,B,C),k1_geomtrap(A,B,C),C) ) ) ) )).
fof(t11_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k7_gfacirc1(A,B,C)) = k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)),k1_tarski(k9_gfacirc1(A,B,C))) )).
fof(t11_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_relat_1(k3_msafree2(k1_gfacirc2(A,B,C))) ) ) ) )).
fof(t11_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( k6_glib_000(k13_glib_000(A,k1_glib_000,B)) = B & k7_glib_000(k13_glib_000(A,k2_glib_000,B)) = B & k8_glib_000(k13_glib_000(A,k3_glib_000,B)) = B & k9_glib_000(k13_glib_000(A,k4_glib_000,B)) = B ) ) )).
fof(t11_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => ( r1_xxreal_0(C,1) | r2_tarski(k1_funct_1(B,k6_xcmplx_0(C,1)),k28_glib_000(A,k5_glib_001(A,B,C))) ) ) ) ) ) )).
fof(t11_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k21_glib_000(A,k1_glib_002(A,B)) = k20_glib_000(A,k1_glib_002(A,B)) ) ) )).
fof(t11_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( ( v1_glib_003(B) & v4_glib_003(B,A) & m1_glib_000(B,A) ) => ! [C] : ( r2_tarski(C,k25_glib_000(A,B)) => k1_funct_1(k5_glib_003(B),C) = k1_funct_1(k5_glib_003(A),C) ) ) ) )).
fof(t11_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k21_glib_000(A,B))) => ! [D] : ( ( v1_glib_003(D) & v4_glib_003(D,A) & m2_glib_000(D,A,B,C) ) => ! [E] : ! [F] : ( ( v1_glib_003(F) & v4_glib_003(F,A) & m2_glib_000(F,A,B,k2_xboole_0(C,k1_tarski(E))) ) => ( r2_tarski(E,k21_glib_000(A,B)) => ( r2_tarski(E,C) | k2_xcmplx_0(k4_glib_004(D),k1_funct_1(k5_glib_003(A),E)) = k4_glib_004(F) ) ) ) ) ) ) ) )).
fof(t11_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k6_glib_000(A))) => ( ( r1_glib_005(A,B,C,D) & r2_tarski(C,E) ) => ( r2_tarski(D,E) | k1_glib_005(A,B,C,D) = k6_xcmplx_0(k2_uproots(k23_glib_000(A,E,k6_subset_1(k6_glib_000(A),E)),k5_relat_1(B,k23_glib_000(A,E,k6_subset_1(k6_glib_000(A),E)))),k2_uproots(k23_glib_000(A,k6_subset_1(k6_glib_000(A),E),E),k5_relat_1(B,k23_glib_000(A,k6_subset_1(k6_glib_000(A),E),E)))) ) ) ) ) ) )).
fof(t11_goboard2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v1_topreal1(A) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & r2_hidden(k4_tarski(F,G),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,F,G) & D != F & G != E ) ) ) ) ) ) ) ) ) ) )).
fof(t11_goboard5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_hidden(k4_tarski(C,D),k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,D) ) ) ) ) ) ) )).
fof(t11_goboard6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(1,B) ) => ( r1_xxreal_0(k3_finseq_1(C),A) | r1_xxreal_0(k1_matrix_0(C),B) | k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))) = k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)) ) ) ) ) ) )).
fof(t11_goboard7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( v2_sppol_1(k2_topreal1(2,A,B)) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k2_goboard2(A))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,k2_topreal1(2,A,B)) => k17_euclid(D) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,1)) ) ) ) ) ) ) ) )).
fof(t11_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_nat_1(D,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,k1_nat_1(D,1)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,2),k1_nat_1(D,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,k1_nat_1(D,1)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,2),k1_nat_1(D,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_nat_1(D,1))),k7_xcmplx_0(1,2)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,2),k1_nat_1(D,1))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t11_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(C,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(D,k1_matrix_0(k2_goboard2(A))) & k3_goboard5(k2_goboard2(A),C,D) = k5_goboard5(A,B) ) ) ) ) ) ) )).
fof(t11_gobrd11,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( B = a_1_7_gobrd11(A) & C = a_1_8_gobrd11(A) ) => B = k3_subset_1(u1_struct_0(k15_euclid(2)),C) ) ) ) ) )).
fof(t11_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(D),k9_matrix_0(E)) & r2_hidden(k4_tarski(A,C),k2_matrix_0(D)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,B,1) ) => C = 1 ) ) ) ) ) ) )).
fof(t11_gobrd14,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,1) & ~ r1_xxreal_0(B,k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,2))) & ~ r1_xxreal_0(C,k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),2,1))) ) ) ) ) ) ) )).
fof(t11_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v1_henmodel(k4_subset_1(k3_cqc_lang(A),B,k6_domain_1(k3_cqc_lang(A),C)),A) | v1_henmodel(k4_subset_1(k3_cqc_lang(A),B,k6_domain_1(k3_cqc_lang(A),k6_cqc_lang(A,C))),A) ) ) ) ) )).
fof(t11_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_valuat_1(E,A,D) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),D,k2_valuat_1(A,D)) => ( r1_valuat_1(A,D,k6_cqc_lang(A,k12_cqc_lang(A,C,k6_cqc_lang(A,B))),E,F) <=> r1_valuat_1(A,D,k11_cqc_lang(A,C,B),E,F) ) ) ) ) ) ) ) )).
fof(t11_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ~ ( ~ r1_xxreal_0(k7_group_1(A),1) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => B = k1_group_1(A) ) ) ) )).
fof(t11_gr_cy_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v2_struct_0(D) & v8_struct_0(D) & v2_group_1(D) & v3_group_1(D) & l3_algstr_0(D) ) => ! [E] : ( m1_group_2(E,D) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( ( k7_group_1(D) = B & D = k5_group_4(D,k6_domain_1(u1_struct_0(D),F)) & k7_group_1(E) = C & E = k5_group_4(D,k6_domain_1(u1_struct_0(D),k5_group_1(D,F,A))) ) => r1_nat_d(B,k3_xcmplx_0(A,C)) ) ) ) ) ) ) ) )).
fof(t11_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_gr_cy_3(A) ) => ? [B] : ( v7_ordinal1(B) & v1_int_2(B) & v2_gr_cy_3(B) & k1_euler_1(A) = k3_xcmplx_0(2,B) ) ) )).
fof(t11_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_graph_1(A) & l1_graph_1(A) ) => r1_graph_1(A,A,A) ) )).
fof(t11_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k10_xtuple_0(k1_graph_2(A,B,C)),k10_xtuple_0(A)) ) ) ) )).
fof(t11_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( C = k1_funct_1(u1_graph_1(A),B) & D = k1_funct_1(u2_graph_1(A),B) ) => r1_graph_2(A,k2_finseq_4(u1_struct_0(A),D,C),k9_finseq_1(B)) ) ) ) ) )).
fof(t11_graph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( ( v7_graph_1(E,B) & m2_graph_1(E,B) ) => ! [F] : ( ( v7_graph_1(F,B) & m2_graph_1(F,B) ) => ( ( r3_graph_4(B,C,E) & F = k2_partfun1(k4_ordinal1,u4_struct_0(B),E,k2_finseq_1(A)) & D = k2_partfun1(k4_ordinal1,u1_struct_0(B),C,k2_finseq_1(k1_nat_1(A,1))) ) => r3_graph_4(B,D,F) ) ) ) ) ) ) ) )).
fof(t11_graph_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( ( v7_graph_1(k7_finseq_1(A,B),C) & m2_graph_1(k7_finseq_1(A,B),C) ) => ( v7_graph_1(A,C) & m2_graph_1(A,C) & v7_graph_1(B,C) & m2_graph_1(B,C) ) ) ) ) ) )).
fof(t11_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( u1_struct_0(A) = k2_xboole_0(B,C) & r2_tarski(D,B) & r2_tarski(E,C) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(F,B) & r2_tarski(G,C) ) => ! [H] : ~ ( r2_tarski(H,u4_struct_0(A)) & r1_graph_4(A,F,G,H) ) ) ) ) ) => ! [F] : ( ( v7_graph_1(F,A) & m2_graph_1(F,A) ) => ~ r1_graph_5(A,F,D,E) ) ) ) ) ) )).
fof(t11_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v13_vectsp_1(C,A,B) => ( v1_grcat_1(g1_grcat_1(A,B,C)) & m1_grcat_1(g1_grcat_1(A,B,C),A,B) ) ) ) ) ) )).
fof(t11_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,k9_xtuple_0(k3_xboole_0(B,C))) => k1_funct_1(k3_xboole_0(B,C),A) = k1_funct_1(B,A) ) ) ) )).
fof(t11_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ( m1_group_6(C,A,B) => m1_group_6(k1_grnilp_1(A,B,C),A,B) ) ) ) ) )).
fof(t11_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) & r2_tarski(E,D) & k7_ideal_1(k12_polynom1(A,C),D) = k7_ideal_1(k12_polynom1(A,C),k1_groeb_1(A,C,E)) ) => v9_rewrite1(k3_polyred(A,B,C,D)) ) ) ) ) ) )).
fof(t11_groeb_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k15_pre_poly(A))) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) & r2_tarski(D,C) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_tarski(E,C) => r1_termord(A,B,D,E) ) ) ) ) ) ) )).
fof(t11_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k6_termord(A,B,C,k8_polynom1(A,C)),k8_polynom1(A,C)) ) ) ) )).
fof(t11_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( r1_nat_d(B,k7_group_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_group_1(A,C) != B ) ) ) ) )).
fof(t11_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_tarski(k5_group_2(A,k2_group_1(A,C),k13_group_2(A,B,C)),k8_group_2(A,B)) ) ) ) )).
fof(t11_group_12,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_group_7(B) & v2_group_7(B,k2_finseq_1(A)) & v3_group_7(B,k2_finseq_1(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) => ? [D] : ( m2_finseq_1(D,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) & k3_finseq_1(D) = A & ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k2_group_12(k2_finseq_1(A),B,E),k1_funct_1(D,E)) ) & C = k3_group_4(k2_group_7(k2_finseq_1(A),B),D) ) ) ) ) )).
fof(t11_group_14,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( ~ v2_struct_0(g2_algstr_0(u1_struct_0(k9_int_3(A)),u1_algstr_0(k9_int_3(A)),u2_struct_0(k9_int_3(A)))) & v2_rlvect_1(g2_algstr_0(u1_struct_0(k9_int_3(A)),u1_algstr_0(k9_int_3(A)),u2_struct_0(k9_int_3(A)))) & v13_algstr_0(g2_algstr_0(u1_struct_0(k9_int_3(A)),u1_algstr_0(k9_int_3(A)),u2_struct_0(k9_int_3(A)))) & v3_rlvect_1(g2_algstr_0(u1_struct_0(k9_int_3(A)),u1_algstr_0(k9_int_3(A)),u2_struct_0(k9_int_3(A)))) & v4_rlvect_1(g2_algstr_0(u1_struct_0(k9_int_3(A)),u1_algstr_0(k9_int_3(A)),u2_struct_0(k9_int_3(A)))) ) ) )).
fof(t11_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_struct_0(B,D) & r1_struct_0(C,E) ) => k6_algstr_0(A,D,E) = k6_algstr_0(A,E,D) ) ) ) ) ) ) ) )).
fof(t11_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) => v2_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(k5_group_6(A,B)),k8_group_6(A,B),u1_struct_0(C))) ) ) ) ) )).
fof(t11_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => v1_xboole_0(k3_group_19(A,B,k1_group_1(k2_group_7(A,B)))) ) ) )).
fof(t11_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_group_2(A,k2_group_2(A,B,C)) = k2_group_2(A,k1_group_2(A,C),k1_group_2(A,B)) ) ) ) )).
fof(t11_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_group_2(D,A) => k5_group_2(A,B,k11_group_2(A,D,C)) = k2_group_2(A,C,k14_group_2(A,D,B)) ) ) ) ) )).
fof(t11_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_group_4(A,k3_finseq_4(u1_struct_0(A),B,C,D)) = k6_algstr_0(A,k6_algstr_0(A,B,C),D) & k3_group_4(A,k3_finseq_4(u1_struct_0(A),B,C,D)) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) ) ) )).
fof(t11_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_group_5(A,k12_finseq_1(u1_struct_0(A),B),C) = k12_finseq_1(u1_struct_0(A),k2_group_3(A,B,C)) ) ) ) )).
fof(t11_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( k7_group_1(A) = 1 & v8_struct_0(A) ) ) & ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( k7_group_1(A) = 1 => v7_struct_0(A) ) ) )).
fof(t11_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) ) => ( v1_relat_1(k9_finseq_1(A)) & v4_relat_1(k9_finseq_1(A),k1_tarski(1)) & v1_funct_1(k9_finseq_1(A)) & v1_partfun1(k9_finseq_1(A),k1_tarski(1)) & v1_group_7(k9_finseq_1(A)) & v2_group_7(k9_finseq_1(A),k1_tarski(1)) ) ) )).
fof(t11_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v4_group_1(B,A) => v8_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),B))) ) ) ) )).
fof(t11_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & v3_group_9(C,A) & l1_group_9(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & v3_group_9(D,A) & l1_group_9(D,A) ) => ( ( m1_group_9(B,A,C) & m1_group_9(C,A,D) ) => m1_group_9(B,A,D) ) ) ) ) )).
fof(t11_groupp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ( ( B = k10_group_5(A) & v1_gr_cy_1(k5_group_6(A,B)) ) => v5_group_1(A) ) ) ) )).
fof(t11_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_group_2(B,k2_grsolv_1(A,B,C,k6_group_2(A)),k6_group_2(B)) & k2_grsolv_1(A,B,C,k7_group_2(A)) = k7_group_2(k10_group_6(A,B,C)) ) ) ) ) )).
fof(t11_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_gtarski1(A,B,C,D,E) => r2_gtarski1(A,D,E,B,C) ) ) ) ) ) ) )).
fof(t11_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ( ~ r1_struct_0(C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [E] : ( m1_rlsub_1(E,k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))) => ( ( B = D & E = C ) => r1_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) ) ) ) ) ) ) ) )).
fof(t11_hahnban1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( k3_complex1(k8_group_1(k1_complfld,A,B)) = k5_real_1(k4_real_1(k3_complex1(A),k3_complex1(B)),k4_real_1(k4_complex1(A),k4_complex1(B))) & k4_complex1(k8_group_1(k1_complfld,A,B)) = k3_real_1(k4_real_1(k3_complex1(A),k4_complex1(B)),k4_real_1(k3_complex1(B),k4_complex1(A))) ) ) ) )).
fof(t11_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k1_funct_1(B,C)) ) => k4_card_1(k1_funct_1(k2_hallmar1(A,B,C,D),C)) = k6_xcmplx_0(k4_card_1(k1_funct_1(B,C)),1) ) ) ) ) )).
fof(t11_hausdorf,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) ) => ? [B] : ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) & A = B & k2_weierstr(A) = k2_seq_4(B) ) ) )).
fof(t11_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ v3_glib_001(k8_glib_001(A,B,C,D),A) & v3_glib_001(B,A) ) ) ) ) ) )).
fof(t11_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k3_cqc_lang(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k3_cqc_lang(A))))) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k1_relset_1(k4_ordinal1,B)) & r2_tarski(C,k1_relset_1(k4_ordinal1,B)) ) => ( r1_xxreal_0(D,C) | ( v1_henmodel(k8_nat_1(k9_setfam_1(k3_cqc_lang(A)),B,C),A) & r1_tarski(k8_nat_1(k9_setfam_1(k3_cqc_lang(A)),B,C),k8_nat_1(k9_setfam_1(k3_cqc_lang(A)),B,D)) ) ) ) ) ) => v1_henmodel(k5_setfam_1(k3_cqc_lang(A),k2_relset_1(k9_setfam_1(k3_cqc_lang(A)),B)),A) ) ) ) )).
fof(t11_hermitan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( ( k4_complex1(A) = k5_numbers & k4_complex1(B) = k5_numbers ) => k4_complex1(k8_group_1(k1_complfld,A,B)) = k5_numbers ) ) ) )).
fof(t11_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,B,C,D) & r1_collsp(A,B,C,E) & r1_collsp(A,D,E,F) & E != F & r1_collsp(A,C,B,F) ) ) ) ) ) ) ) )).
fof(t11_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => ! [C] : ( m2_subset_1(C,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(C,k6_heyting1(A,B)) & ! [D] : ( m2_funct_2(D,k7_normform(A),k1_heyting1(A),k9_funct_2(k7_normform(A),k1_heyting1(A))) => ~ ( ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ( r2_tarski(E,B) => r2_tarski(k3_funct_2(k7_normform(A),k1_heyting1(A),D,E),k5_setwiseo(A,k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),E),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),E))) ) ) & C = k4_tarski(a_3_0_heyting1(A,B,D),a_3_1_heyting1(A,B,D)) ) ) ) ) ) )).
fof(t11_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ( C = k1_tarski(k1_xboole_0) => k2_heyting2(A,B,C) = k1_xboole_0 ) ) ) )).
fof(t11_heyting3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_tarski(A,B) & r1_tarski(C,D) ) => u2_lattices(k5_substlat(A,C)) = k1_realset1(u2_lattices(k5_substlat(B,D)),u1_struct_0(k5_substlat(A,C))) ) )).
fof(t11_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,C),B),A) = k1_funct_1(k16_sin_cos,k2_xcmplx_0(A,k7_xcmplx_0(k3_xcmplx_0(B,k28_sin_cos),2))) ) ) ) ) )).
fof(t11_hilbasis,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v7_struct_0(C) & v4_vectsp_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => k1_polynom2(A,k2_hilbasis(A,B),C,D) = k3_funct_2(A,u1_struct_0(C),D,B) ) ) ) ) )).
fof(t11_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => k5_hilbert1(k5_hilbert1(A)) = k5_hilbert1(A) ) )).
fof(t11_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( k1_funct_1(A,1) = 1 => v2_hilbert2(A) ) ) )).
fof(t11_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( r2_tarski(C,E) & r2_tarski(D,F) ) => ( A = B | r2_tarski(k4_funct_4(A,B,C,D),k4_card_3(k4_funct_4(A,B,E,F))) ) ) )).
fof(t11_holder_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_series_1(B) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,B,D)) ) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,C,D) = k2_power(k8_nat_1(k1_numbers,k3_series_1(B),D),A) ) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k2_power(k4_series_1(B),A) & v7_valued_0(C) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k8_nat_1(k1_numbers,C,D),k2_power(k4_series_1(B),A)) ) ) ) ) ) ) ) )).
fof(t11_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r2_tarski(D,k9_xtuple_0(B)) => k1_funct_1(k6_trees_4(C,B,A),k8_finseq_1(k4_ordinal1,k14_trees_3(k5_numbers),D)) = k1_funct_1(B,D) ) ) ) ) )).
fof(t11_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,k8_polynom3(A,B,C)),k8_polynom3(A,k5_vfunct_1(k4_ordinal1,A,B),k5_vfunct_1(k4_ordinal1,A,C))) ) ) ) )).
fof(t11_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,B,k2_hurwitz2(A,B)),k1_hurwitz2(A,B)) ) ) )).
fof(t11_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_idea_1(B,A) => k4_idea_1(B,A,k6_idea_1(B,A)) = k5_numbers ) ) ) )).
fof(t11_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ~ v1_xboole_0(u1_struct_0(A)) & v1_ideal_1(u1_struct_0(A),A) & v2_ideal_1(u1_struct_0(A),A) & m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(t11_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ~ ! [B] : ( m1_subset_1(B,u1_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(k3_incproj(A))) => r1_incsp_1(k3_incproj(A),B,C) ) ) ) )).
fof(t11_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,u4_incsp_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A))) => ( r5_incsp_1(A,k4_subset_1(u1_incsp_1(A),C,D),B) <=> ( r5_incsp_1(A,C,B) & r5_incsp_1(A,D,B) ) ) ) ) ) ) )).
fof(t11_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => ! [D] : ( m4_index_1(D,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => ( r1_funct_2(u4_struct_0(A),u4_struct_0(C),u4_struct_0(A),u4_struct_0(D),k9_index_1(A,B,C),k9_index_1(A,B,D)) & r1_funct_2(u1_struct_0(A),u1_struct_0(C),u1_struct_0(A),u1_struct_0(D),k7_cat_1(A,C,k9_index_1(A,B,C)),k7_cat_1(A,D,k9_index_1(A,B,D))) ) ) ) ) ) )).
fof(t11_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => ( r1_tarski(u2_msualg_1(B),u2_msualg_1(A)) & r1_tarski(u1_msualg_1(B),u1_msualg_1(A)) ) ) ) )).
fof(t11_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => r2_int_1(A,A,B) ) ) )).
fof(t11_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ~ ( r1_int_1(A,B) & r1_int_1(B,A) & A != B & A != k4_xcmplx_0(B) ) ) ) )).
fof(t11_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => ( ~ v6_struct_0(k9_int_3(A)) & ~ v2_struct_0(k9_int_3(A)) & v13_algstr_0(k9_int_3(A)) & v3_group_1(k9_int_3(A)) & v5_group_1(k9_int_3(A)) & v2_rlvect_1(k9_int_3(A)) & v3_rlvect_1(k9_int_3(A)) & v4_rlvect_1(k9_int_3(A)) & v4_vectsp_1(k9_int_3(A)) & v5_vectsp_1(k9_int_3(A)) & l6_algstr_0(k9_int_3(A)) ) ) ) )).
fof(t11_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( r2_int_1(A,B,D) => r2_int_1(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C),D) ) ) ) ) ) )).
fof(t11_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_int_5(A,C) & r2_int_1(A,B,C) ) => r1_int_5(B,C) ) ) ) ) )).
fof(t11_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => ( C = B | k1_funct_1(A,C) = k5_numbers | v1_int_1(k7_xcmplx_0(k19_rvsum_1(A),k3_xcmplx_0(k1_funct_1(A,B),k1_funct_1(A,C)))) ) ) ) ) ) )).
fof(t11_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( C = k3_int_2(A,B) => k22_pre_poly(k8_newton,k13_nat_3(C)) = k9_subset_1(k8_newton,k22_pre_poly(k8_newton,k13_nat_3(A)),k22_pre_poly(k8_newton,k13_nat_3(B))) ) ) ) ) )).
fof(t11_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_int_2(B,C) => ( r1_xxreal_0(C,1) | ( r2_int_1(k1_newton(B,A),1,C) <=> r1_nat_d(k3_pepin(B,C),A) ) ) ) ) ) ) )).
fof(t11_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( r1_tarski(k1_limfunc1(B),k1_relset_1(k1_numbers,A)) & r4_integr10(A,B) ) => ! [C] : ( v1_xreal_0(C) => ( r4_integr10(k26_valued_1(k1_numbers,k1_numbers,A,C),B) & k4_integr10(k26_valued_1(k1_numbers,k1_numbers,A,C),B) = k3_xcmplx_0(C,k4_integr10(A,B)) ) ) ) ) ) )).
fof(t11_integr11,axiom,( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(1,k5_numbers),k1_sin_cos2),k3_sin_cos2),k1_numbers) & ! [A] : ( v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(1,k5_numbers),k1_sin_cos2),k3_sin_cos2),k1_numbers),A) = k3_xcmplx_0(A,k1_funct_1(k3_sin_cos2,A)) ) )).
fof(t11_integr12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,C) & r1_xxreal_0(D,k5_numbers) ) ) & C = k1_relset_1(k1_numbers,B) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k18_sin_cos),k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)))) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k16_sin_cos),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k16_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t11_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos))) & r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t11_integr14,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k2_fdiff_9))) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k2_fdiff_9)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k2_fdiff_9)),A),B) = k7_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos,k1_funct_1(k26_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B))),k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k26_sin_cos,B)))) ) ) ) ) ) )).
fof(t11_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( m4_integr15(E,A,B,C,D) => ( ( v1_integr15(C,A,B) & v2_integr15(C,A,B) & v2_comseq_2(k2_integra3(B,D)) & k1_seq_2(k2_integra3(B,D)) = k5_numbers ) => ( v3_normsp_1(k6_integr15(A,B,C,D,E),k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A),k6_integr15(A,B,C,D,E)) = k10_integr15(A,B,C) ) ) ) ) ) ) ) )).
fof(t11_integr16,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( v1_comseq_2(A) <=> ( v1_comseq_2(k5_comseq_3(k1_numbers,A)) & v1_comseq_2(k6_comseq_3(k1_numbers,A)) ) ) ) )).
fof(t11_integr18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) => ( ( D = F & E = G ) => k2_vfunct_1(B,C,F,G) = k2_vfunct_1(A,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t11_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_xxreal_0(B,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,C) & r1_integr15(A,k3_integra5(B,C),G) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),G,k3_integra5(B,C)),A) & r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,G)) ) => ( r1_integr15(A,k3_integra5(D,E),k9_integr15(A,F,k1_numbers,G)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),k9_integr15(A,F,k1_numbers,G),k3_integra5(D,E)),A) ) ) ) ) ) ) ) ) ) )).
fof(t11_integr20,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ( r2_tarski(A,k4_finseq_1(C)) => r1_xxreal_0(k3_integra1(k2_integra1(B,C,A)),k1_integra3(B,C)) ) ) ) ) )).
fof(t11_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_nfcont_3(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,D)) ) => v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(C),D,k3_integra5(A,B)),C,k1_numbers) ) ) ) ) ) )).
fof(t11_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v2_seq_2(k2_partfun1(A,k1_numbers,B,A)) => v3_xxreal_2(k1_rvsum_1(B)) ) ) ) )).
fof(t11_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( v3_xxreal_2(B) & r1_xxreal_0(k5_numbers,A) ) => v3_xxreal_2(k1_integra2(B,A)) ) ) ) )).
fof(t11_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( r2_hidden(A,k2_integra1(B,C,k3_finseq_1(C))) & r1_xxreal_0(2,k3_finseq_1(C)) & r1_integra1(C,D) & k1_rvsum_1(D) = k4_subset_1(k1_numbers,k1_rvsum_1(C),k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B,k1_numbers,E,B)) ) => r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k4_integra1(B,E,C)),k18_rvsum_1(k4_integra1(B,E,D))),k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)),k3_seq_4(k1_rvsum_1(E))),k1_integra3(B,C))) ) ) ) ) ) ) )).
fof(t11_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & v2_comseq_2(k2_integra3(A,B)) & k1_seq_2(k2_integra3(A,B)) = k5_numbers ) ) )).
fof(t11_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => r1_integra5(A,B) ) ) ) )).
fof(t11_integra6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(B)) & r1_tarski(A,k9_xtuple_0(C)) & r1_integra5(A,B) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) & r1_integra5(A,C) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,C,A)) ) => ( r1_integra5(A,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) & r1_integra5(A,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) & k2_integra5(A,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k2_xcmplx_0(k2_integra5(A,B),k2_integra5(A,C)) & k2_integra5(A,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) = k6_xcmplx_0(k2_integra5(A,B),k2_integra5(A,C)) ) ) ) ) ) )).
fof(t11_integra7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_integra7(A,C,B) => r1_tarski(A,k1_relset_1(k1_numbers,C)) ) ) ) )).
fof(t11_integra8,axiom,( k2_sin_cos6(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2),2))) = k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)) )).
fof(t11_integra9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k18_sin_cos)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k18_sin_cos)),A),B) = k4_xcmplx_0(k3_xcmplx_0(B,k1_funct_1(k16_sin_cos,B))) ) ) ) ) )).
fof(t11_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & r1_tarski(C,D) & B = k2_interva1(A,C,D) ) ) ) ) )).
fof(t11_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_intpro_1)) => ( ( v8_intpro_1(A) & r1_tarski(B,A) ) => r1_tarski(k7_intpro_1(B),A) ) ) ) )).
fof(t11_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => k3_xcmplx_0(k7_xcmplx_0(1,k1_nat_1(A,1)),k7_xcmplx_0(1,k7_newton(A))) = k7_xcmplx_0(1,k7_newton(k1_nat_1(A,1))) ) )).
fof(t11_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v12_cat_1(C,A,B) => k2_funct_1(k7_cat_1(A,B,C)) = k7_cat_1(B,A,k1_isocat_1(A,B,C)) ) ) ) ) )).
fof(t11_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( k2_cat_1(A,C,D) != k1_xboole_0 & k2_cat_1(B,E,F) != k1_xboole_0 ) <=> k2_cat_1(k6_cat_2(A,B),k7_cat_2(A,B,C,E),k7_cat_2(A,B,D,F)) != k1_xboole_0 ) ) ) ) ) ) ) )).
fof(t11_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v6_tops_1(k2_struct_0(A),A) & v5_tops_1(k2_struct_0(A),A) ) ) )).
fof(t11_jct_misc,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ~ ( r1_subset_1(A,B) & r1_xxreal_0(k1_jct_misc(A,B),k5_numbers) ) ) ) )).
fof(t11_jgraph_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_jgraph_1(A,B,C) => ( k1_funct_1(B,1) = k1_funct_1(B,k3_finseq_1(B)) | v2_funct_1(C) ) ) ) ) ) )).
fof(t11_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( v3_pre_topc(B,k15_euclid(2)) & r2_tarski(A,B) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_tarski(a_2_0_jgraph_2(A,C),B) ) ) ) ) ) )).
fof(t11_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k1_funct_1(B,C) = k7_xcmplx_0(k17_euclid(C),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k18_euclid(C),k17_euclid(C)))))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & k17_euclid(C) = k5_numbers ) ) ) => v5_pre_topc(B,k1_pre_topc(k15_euclid(2),A),k3_topmetr) ) ) ) )).
fof(t11_jgraph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( k1_relset_1(u1_struct_0(k15_euclid(A)),k1_jgraph_4(A)) = u1_struct_0(k15_euclid(A)) & k1_relset_1(u1_struct_0(k15_euclid(A)),k1_jgraph_4(A)) = k1_euclid(A) ) ) )).
fof(t11_jgraph_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ~ ( G = k5_numbers & H = 1 & v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) & C != D & E != F & k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,G)) = C & r1_xxreal_0(E,k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,G))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,G)),F) & k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H)) = D & r1_xxreal_0(E,k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H))) & r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H)),F) & k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,G)) = E & r1_xxreal_0(C,k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,G))) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,G)),D) & k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H)) = F & r1_xxreal_0(C,k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H))) & r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H)),D) & ! [I] : ( m1_subset_1(I,u1_struct_0(k5_topmetr)) => ( ~ ( ~ r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I)),C) & ~ r1_xxreal_0(D,k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I))) & ~ r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I))) ) & ~ ( ~ r1_xxreal_0(k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I)),C) & ~ r1_xxreal_0(D,k17_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I))) & ~ r1_xxreal_0(k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I)),E) & ~ r1_xxreal_0(F,k18_euclid(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I))) ) ) ) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B)) ) ) ) ) ) ) ) ) ) )).
fof(t11_jgraph_6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = a_0_0_jgraph_6 => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,k19_euclid(k4_xcmplx_0(1),k5_numbers)) = k18_pscomp_1(A) ) ) )).
fof(t11_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( k17_euclid(A) = D & k18_euclid(B) = E & r1_xxreal_0(E,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),F) & r1_xxreal_0(k17_euclid(B),D) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(F,E) | r1_xxreal_0(k17_euclid(B),C) | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).
fof(t11_jordan,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xboole_0(k7_subset_1(u1_struct_0(k15_euclid(2)),k6_topreal1(k2_jordan21(A)),k6_domain_1(u1_struct_0(k15_euclid(2)),k2_jordan21(A))),A) ) )).
fof(t11_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_0_jordan1(A) => v1_convex1(B,k15_euclid(2)) ) ) ) )).
fof(t11_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(B,k3_goboard9(k1_jordan9(B,A))) ) ) )).
fof(t11_jordan11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_jordan1h(B,A) => r1_xboole_0(k3_goboard5(k1_jordan8(B,A),k7_nat_d(k3_jordan1h(B,A),1),k3_jordan11(B,A)),B) ) ) ) )).
fof(t11_jordan12,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_jordan12(2,A,B) => v1_finset_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k3_topreal1(2,B))) ) ) ) )).
fof(t11_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_tarski(A,k2_goboard9(k1_jordan13(A,B))) ) ) ) )).
fof(t11_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_topreal1(2,k2_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k1_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,G) & r1_xxreal_0(G,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,G)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,G)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,G)) ) ) ) ) ) ) ) ) ) )).
fof(t11_jordan16,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),D,E,B) & r1_topreal1(k15_euclid(2),D,E,C) & r1_tarski(B,A) & r1_tarski(C,A) ) => ( B = C | ( k4_subset_1(u1_struct_0(k15_euclid(2)),B,C) = A & k9_subset_1(u1_struct_0(k15_euclid(2)),B,C) = k2_tarski(D,E) ) ) ) ) ) ) ) ) )).
fof(t11_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r1_jordan17(A,B,C,D,E) => r1_jordan17(A,D,E,B,C) ) ) ) ) ) ) )).
fof(t11_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_jordan2c(2,A)) & r1_tarski(k4_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t11_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ r1_xxreal_0(k6_pscomp_1(B),k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) ) )).
fof(t11_jordan1a,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ( ( k17_euclid(A) = k17_euclid(B) & r2_hidden(C,k1_rcomp_1(k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,A),k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,B))) ) => r2_tarski(k19_euclid(k17_euclid(A),C),k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) ) )).
fof(t11_jordan1b,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => r1_xxreal_0(1,k1_jordan1a(A)) ) )).
fof(t11_jordan1c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( v2_compts_1(C,k15_euclid(2)) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( v1_int_1(D) => ( ( r2_tarski(B,k1_jordan2c(2,C)) & D = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(B),k6_pscomp_1(C)),k6_xcmplx_0(k8_pscomp_1(C),k6_pscomp_1(C))),k1_newton(2,A)),2)) ) => r1_xxreal_0(k2_xcmplx_0(D,1),k3_finseq_1(k1_jordan8(C,A))) ) ) ) ) ) )).
fof(t11_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k22_pscomp_1(B),k1_gobrd13(k1_jordan9(B,A),k1_jordan8(B,A),C)) ) ) ) )).
fof(t11_jordan1e,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k1_finseq_6(u1_struct_0(k15_euclid(2)),k1_jordan9(A,B),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))) = k4_graph_2(u1_struct_0(k15_euclid(2)),k1_jordan1e(A,B),k2_jordan1e(A,B)) ) ) )).
fof(t11_jordan1f,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,A) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r2_hidden(k4_tarski(D,E),k2_matrix_0(A)) & r2_hidden(k4_tarski(F,G),k2_matrix_0(A)) & B = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,F,G) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F,D)),k9_complex1(k6_xcmplx_0(G,E))) = 1 ) ) ) ) ) ) => ( ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(A)) & B = k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E) ) ) ) | r1_goboard1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),k13_matrix_0(u1_struct_0(k15_euclid(2)),B),C),A) ) ) ) ) ) )).
fof(t11_jordan1g,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_topreal1(A) & v2_topreal1(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( ( ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k25_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k25_pscomp_1(k3_topreal1(2,A)) ) | ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k24_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k24_pscomp_1(k3_topreal1(2,A)) ) ) & k25_pscomp_1(k3_topreal1(2,A)) = k24_pscomp_1(k3_topreal1(2,A)) ) ) )).
fof(t11_jordan1h,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => r2_relset_1(k4_ordinal1,k1_numbers,k2_goboard1(A),k1_partfun1(k4_ordinal1,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_numbers,A,k5_pscomp_1)) ) )).
fof(t11_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,A)),k18_euclid(B)) => r2_tarski(B,k2_goboard9(A)) ) ) ) )).
fof(t11_jordan1j,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k23_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k10_xtuple_0(k2_jordan1e(B,A))) & r2_tarski(k23_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k3_topreal1(2,k2_jordan1e(B,A))) ) ) ) )).
fof(t11_jordan1k,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => r1_xxreal_0(k5_numbers,k7_weierstr(A,B,C)) ) ) ) )).
fof(t11_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( v1_xreal_0(B) => ( A = k3_rcomp_1(k5_numbers,B) => v3_pre_topc(A,k5_topmetr) ) ) ) )).
fof(t11_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => ( B = D | C = E | ( ~ r2_tarski(B,k5_jordan6(A,B,C,D,E)) & ~ r2_tarski(C,k5_jordan6(A,B,C,D,E)) ) ) ) ) ) ) ) ) )).
fof(t11_jordan22,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,A),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,A),2,1)),k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),2,1))) ) ) ) ) )).
fof(t11_jordan23,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v1_jordan23(B) => ! [C] : ( m1_subset_1(C,A) => v1_jordan23(k1_finseq_6(A,B,C)) ) ) ) ) )).
fof(t11_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v3_connsp_1(D,A) => v3_connsp_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(t11_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r2_tarski(D,k2_finseq_1(A)) & B = C ) => ( r1_xxreal_0(k7_partfun1(k1_numbers,C,D),k12_euclid(B)) & r1_xxreal_0(k1_square_1(k7_partfun1(k1_numbers,C,D)),k1_square_1(k12_euclid(B))) ) ) ) ) ) ) )).
fof(t11_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v9_rltopsp1(B,k15_euclid(A)) <=> ( v6_tbsp_1(B,k14_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) ) ) ) )).
fof(t11_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(2,k3_finseq_1(A)) => k1_jordan3(A,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)) = 1 ) ) ) )).
fof(t11_jordan4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k1_funct_1(k3_finseq_6(A,B,C,D),k3_finseq_1(k3_finseq_6(A,B,C,D))) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(t11_jordan5a,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_tarski(A,k1_rcomp_1(B,C)) => ( ~ r2_hidden(B,A) & ~ r2_hidden(C,A) ) ) ) ) ) )).
fof(t11_jordan5b,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(A,k1_rltopsp1(k15_euclid(2),B,C)) => ( B = C | r2_jordan3(B,C,A,C) ) ) ) ) ) )).
fof(t11_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => r1_jordan5c(A,B,C,B,C) ) ) ) ) )).
fof(t11_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) ) => ( r1_xxreal_0(k9_pscomp_1(k3_topreal1(2,A)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) & r1_xxreal_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k7_pscomp_1(k3_topreal1(2,A))) ) ) ) ) )).
fof(t11_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => v4_pre_topc(A,k15_euclid(2)) ) ) ) ) )).
fof(t11_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v1_topreal2(A) & r1_jordan6(A,B,C) ) => ( B = k18_pscomp_1(A) | C = k18_pscomp_1(A) | k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,B,C),k1_jordan7(A,C,k18_pscomp_1(A))) = k1_tarski(C) ) ) ) ) ) )).
fof(t11_jordan8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(k1_jordan8(C,B))) ) => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),2,A)) = k6_pscomp_1(C) ) ) ) ) )).
fof(t11_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) ) => ( k2_pre_topc(k15_euclid(2),k1_tops_1(k15_euclid(2),k2_gobrd13(C,B,A))) = k2_gobrd13(C,B,A) & k2_pre_topc(k15_euclid(2),k1_tops_1(k15_euclid(2),k1_gobrd13(C,B,A))) = k1_gobrd13(C,B,A) ) ) ) ) ) )).
fof(t11_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,B,C) & r1_jordan6(A,k22_pscomp_1(A),B) ) => k1_jordan7(A,B,C) = k5_jordan6(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),B,C) ) ) ) ) )).
fof(t11_knaster,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => r3_tarski(A,B) ) ) ) ) )).
fof(t11_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m1_kolmog01(D,B,A,C) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => k9_prob_1(A,k7_kolmog01(A,C,B,E,D)) = k4_kolmog01(B,A,C,D,E) ) ) ) ) ) )).
fof(t11_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k2_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) => k4_kurato_0(A,D) = k4_subset_1(A,k4_kurato_0(A,B),k4_kurato_0(A,C)) ) ) ) ) )).
fof(t11_kurato_1,axiom,( k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k6_kurato_1)) = k4_subset_1(k1_numbers,k2_rcomp_1(k2_xxreal_0,1),k2_rcomp_1(1,2)) )).
fof(t11_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ( m2_connsp_2(E,k2_borsuk_1(A,B),k3_borsuk_1(A,B,k6_domain_1(u1_struct_0(A),C),k6_domain_1(u1_struct_0(B),D))) <=> m1_connsp_2(E,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,D)) ) ) ) ) ) ) )).
fof(t11_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ~ ( ~ r1_xxreal_0(B,1) & k4_nat_d(A,B) = k5_int_1(C,B) & C = k5_numbers & ! [D] : ( v1_int_1(D) => A != k3_xcmplx_0(B,D) ) ) ) ) ) )).
fof(t11_lang1,axiom,( ! [A] : k3_lang1(k6_lang1(A)) = k1_tarski(k1_xboole_0) )).
fof(t11_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(2,A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ( v6_matrix_1(B,k8_matrix_1(k9_matrix_1(A))) & B = k1_finseq_2(A) ) ) ) ) )).
fof(t11_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( F = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) => k7_relset_1(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k8_group_4(A,C,D))) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k5_group_4(A,F))) ) ) ) ) ) ) ) )).
fof(t11_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( r2_tarski(C,u1_struct_0(B)) => m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) ) ) ) )).
fof(t11_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattices(A,B,k2_lattices(A,C,B)) = k2_lattices(A,C,B) ) ) ) )).
fof(t11_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( ( v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) & r1_lattice2(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) ) => v10_lattices(A) ) ) )).
fof(t11_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_lattice3(k3_lattice3(A)) & v2_lattice3(k3_lattice3(A)) ) ) )).
fof(t11_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,B,A) => ( v2_funct_2(C,u1_struct_0(A)) => v11_lattices(A) ) ) ) ) )).
fof(t11_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ( k4_lattice6(A,k5_lattices(A)) = k5_lattices(A) & v3_waybel_6(k4_lattice3(A,k5_lattices(A)),k3_lattice3(A)) ) ) )).
fof(t11_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( r2_tarski(B,k3_lattice7(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_orders_2(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_orders_2(A,D,B) => r3_orders_2(A,D,C) ) ) ) ) ) ) ) )).
fof(t11_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v1_lattice5(C,A,B) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => v1_lattice5(k2_lattice8(A,B,C,D),k1_lattice8(A),B) ) ) ) ) ) )).
fof(t11_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_tarski(a_2_0_latticea(A,B),k1_latticea(A)) ) ) )).
fof(t11_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_lattices(A,B,k4_lattices(A,C,D)) = k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)) ) ) ) ) )).
fof(t11_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k39_glib_000(B),C) => ( r2_tarski(k6_lexbfs(A,B,C),k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,k1_nat_1(C,1)))) & k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,k1_nat_1(C,1))) = k2_xboole_0(k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C)),k1_tarski(k6_lexbfs(A,B,C))) ) ) ) ) ) )).
fof(t11_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v3_orders_2(k3_waybel_3(A,B,C)) & v4_orders_2(k3_waybel_3(A,B,C)) & v5_orders_2(k3_waybel_3(A,B,C)) & v2_lattice3(k3_waybel_3(A,B,C)) & l1_orders_2(k3_waybel_3(A,B,C)) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) => ! [E] : ( m1_subset_1(E,A) => k4_waybel_3(A,B,k11_lattice3(k4_yellow_1(A,B),C,D),E) = k11_lattice3(k3_waybel_3(A,B,E),k4_waybel_3(A,B,C,E),k4_waybel_3(A,B,D,E)) ) ) ) ) ) ) )).
fof(t11_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ( v3_lfuzzy_1(B,A) & v3_lfuzzy_1(C,A) ) => r1_fuzzy_1(k3_fuzzy_4(A,A,A,k1_lfuzzy_1(k2_zfmisc_1(A,A),B,C),k1_lfuzzy_1(k2_zfmisc_1(A,A),B,C)),k1_lfuzzy_1(k2_zfmisc_1(A,A),B,C)) ) ) ) ) )).
fof(t11_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_limfunc1(A) & v2_limfunc1(B) ) => v2_limfunc1(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t11_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r5_limfunc2(B,A) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,D) & ~ r1_xxreal_0(D,A) & r2_hidden(D,k1_relset_1(k1_numbers,B)) ) ) ) ) & ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(k1_funct_1(B,E),C) ) ) ) ) ) ) ) ) )).
fof(t11_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r3_limfunc3(B,A) <=> ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_xtuple_0(B)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k9_xtuple_0(B)) ) ) ) ) ) ) & ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,E)),k5_numbers) & ~ r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(A,E))) & r2_hidden(E,k9_xtuple_0(B)) & r1_xxreal_0(C,k1_funct_1(B,E)) ) ) ) ) ) ) ) ) )).
fof(t11_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc2(B,A) & v4_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r2_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t11_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k1_vectsp_7(A,B,C) = k1_vectsp_4(A,B) & C != k1_xboole_0 & C != k6_domain_1(u1_struct_0(B),k4_struct_0(B)) ) ) ) ) )).
fof(t11_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => r1_tarski(C,k2_struct_0(k1_vectsp_7(A,B,C))) ) ) ) )).
fof(t11_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,D,E) <=> r1_struct_0(E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) )).
fof(t11_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_lopban_1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_lopban_1(A,B))) => ( E = k3_rlvect_1(k5_lopban_1(A,B),C,D) <=> ! [F] : ( m1_subset_1(F,A) => k6_lopban_1(A,B,E,F) = k3_rlvect_1(B,k6_lopban_1(A,B,C,F),k6_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t11_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => k4_lopban_2(A,k3_lopban_2(A,C,B),k3_xcmplx_0(D,E)) = k3_lopban_2(A,k4_lopban_2(A,C,E),k4_lopban_2(A,B,D)) ) ) ) ) ) )).
fof(t11_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,B) => k8_nat_1(u1_struct_0(A),C,E) = k8_nat_1(u1_struct_0(A),D,E) ) ) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,C),B) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,D),B) ) ) ) ) ) )).
fof(t11_lopban_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => k1_lopban_5(A,k4_struct_0(A),C) = k1_convex1(A,k1_lopban_5(A,k4_struct_0(A),C),k4_xcmplx_0(1)) ) ) ) )).
fof(t11_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_lopban_7(C,A,B) => v3_lopban_1(k5_lopban_7(A,B,C)) ) ) ) ) )).
fof(t11_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_lopclset(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_lopclset(A))) => k4_lattices(k6_lopclset(A),B,C) = k3_xboole_0(B,C) ) ) ) )).
fof(t11_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k5_numbers ) => ( v1_series_1(k1_lp_space(B,A)) & k2_power(k4_series_1(k1_lp_space(B,A)),k7_xcmplx_0(1,A)) = k5_numbers ) ) ) ) ) )).
fof(t11_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => k2_binop_1(k2_numbers,k3_rfunct_3(A,k2_numbers),k3_rfunct_3(A,k2_numbers),k8_lpspacc1(A),k6_complex1,B) = B ) ) )).
fof(t11_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),B,k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),C,D)),k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),B,C),D)) ) ) ) ) )).
fof(t11_lpspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v2_xxreal_0(C) & v1_xreal_0(C) ) => ( ( v2_comseq_2(A) & ! [D] : ( v7_ordinal1(D) => k8_nat_1(k1_numbers,B,D) = k2_power(k9_complex1(k6_xcmplx_0(k1_seq_2(A),k8_nat_1(k1_numbers,A,D))),C) ) ) => ( v2_comseq_2(B) & k1_seq_2(B) = k5_numbers ) ) ) ) ) )).
fof(t11_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k7_ltlaxio1(A))) = 1 <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(B,D),A)) = 1 ) ) ) ) ) )).
fof(t11_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => k7_partfun1(k1_hilbert1,k2_ltlaxio2(k12_finseq_1(k1_hilbert1,A)),k3_finseq_1(k2_ltlaxio2(k12_finseq_1(k1_hilbert1,A)))) = A ) )).
fof(t11_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ~ ( r2_tarski(A,k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B)) & A != B & r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(A)) ) ) ) )).
fof(t11_ltlaxio4,axiom,( k3_ltlaxio4(k6_domain_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k11_ltlaxio3(k6_finseq_1(k1_hilbert1),k6_finseq_1(k1_hilbert1)))) = k6_domain_1(k1_hilbert1,k4_ltlaxio1(k3_ltlaxio1,k3_ltlaxio1)) )).
fof(t11_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,B,D))),k4_cqc_the1(A)) ) ) ) ) )).
fof(t11_margrel1,axiom,( ! [A] : ( v1_xboolean(A) => ( ( A = k6_margrel1 => k3_xboolean(A) = k7_margrel1 ) & ( k3_xboolean(A) = k7_margrel1 => A = k6_margrel1 ) & ( A = k7_margrel1 => k3_xboolean(A) = k6_margrel1 ) & ( k3_xboolean(A) = k6_margrel1 => A = k7_margrel1 ) ) ) )).
fof(t11_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(k4_struct_0(A),C) => ( r1_tarski(k3_mathmorp(A,B,C),B) & r1_tarski(B,k6_rusub_4(A,B,C)) ) ) ) ) ) )).
fof(t11_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( v1_matrix10(B) & v2_matrix10(C) & r1_matrix10(k3_matrix10(A,C),k3_matrix10(A,B)) ) => v1_matrix10(k4_matrix10(A,B,C)) ) ) ) ) )).
fof(t11_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ( k2_matrix11(A,B,C) = k1_group_1(B) | k2_matrix11(A,B,C) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) )).
fof(t11_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v6_struct_0(E) & v13_algstr_0(E) & v33_algstr_0(E) & v4_vectsp_1(E) & v5_vectsp_1(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v3_group_1(E) & v5_group_1(E) & l6_algstr_0(E) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(E),C,D) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(E))) ) => ( ( r2_tarski(B,k4_finseq_1(F)) & r2_tarski(A,k4_finseq_1(F)) ) => k1_matrix12(C,D,E,k1_matrix12(C,D,E,F,B,A),B,A) = F ) ) ) ) ) ) ) )).
fof(t11_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) ) => k13_fvsum_1(A,B,k3_fvsum_1(A,C,D)) = k1_algstr_0(A,k13_fvsum_1(A,B,C),k13_fvsum_1(A,B,D)) ) ) ) ) ) ) )).
fof(t11_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ( ( r1_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k7_subset_1(k4_ordinal1,k4_finseq_1(B),C)) => k7_matrix_0(u1_struct_0(A),B,D) = k5_finseq_2(u1_struct_0(A),k1_matrix_0(B),k4_struct_0(A)) ) ) ) => k8_matrix13(A,B) = k8_matrix13(A,k6_matrix13(u1_struct_0(A),B,C,k2_finseq_1(k1_matrix_0(B)))) ) ) ) ) )).
fof(t11_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix16(C,u1_struct_0(B)) => v1_matrix16(k2_matrix_3(B,C),u1_struct_0(B)) ) ) ) ) )).
fof(t11_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & v5_matrix17(B,u1_struct_0(A)) & v5_matrix17(C,u1_struct_0(A)) ) => k1_matrix17(u1_struct_0(A),k3_fvsum_1(A,B,C)) = k3_matrix_3(A,k1_matrix17(u1_struct_0(A),B),k1_matrix17(u1_struct_0(A),C)) ) ) ) ) )).
fof(t11_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),B)) & v2_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),B),A,1,k3_finseq_1(B)) & m2_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),B),k3_finseq_2(A)) ) ) ) )).
fof(t11_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_finseq_2(A),u1_struct_0(k10_matrix_1(A))) ) )).
fof(t11_matrix_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => k4_rlvect_1(B,k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B))) = k4_struct_0(B) ) ) )).
fof(t11_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) ) => B = k1_matrix_4(A,B,k1_matrix_4(A,C,C)) ) ) ) ) )).
fof(t11_matrix_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => k6_matrix_3(A,k6_matrix_3(A,D,C),B) = k6_matrix_3(A,D,k8_group_1(A,B,C)) ) ) ) ) )).
fof(t11_matrix_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => k1_matrix_6(B,A,k4_matrix_0(u1_struct_0(A),k3_matrix_1(A,B))) = k3_matrix_1(A,B) ) ) )).
fof(t11_matrix_7,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k10_matrix_1(2))) => ( ( k4_nat_d(k3_finseq_1(A),2) = k5_numbers & ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( m1_matrix_1(C,k9_matrix_1(2)) => ~ ( k1_funct_1(A,B) = C & v5_matrix_1(C,k8_matrix_1(k9_matrix_1(2))) ) ) ) ) ) => k3_group_4(k10_matrix_1(2),A) = k10_finseq_1(1,2) ) ) )).
fof(t11_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_8(C,A,B) & v1_matrix_8(D,A,B) & r1_matrix_6(A,B,C,D) ) => v1_matrix_8(k4_matrix_3(B,C,D),A,B) ) ) ) ) ) )).
fof(t11_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_finsop_1(u1_struct_0(A),k2_finseq_4(u1_struct_0(A),B,C),u2_algstr_0(A)) = k8_group_1(A,B,C) ) ) ) )).
fof(t11_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k7_matrix_5(k4_xcmplx_0(1),A) = k4_matrix_5(A) ) )).
fof(t11_matrixj1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(C,k3_finseq_1(A)) & k1_wsierp_1(k17_finseq_1(k4_ordinal1,B,A)) = k1_wsierp_1(k17_finseq_1(k4_ordinal1,C,A)) ) => ( ( r2_tarski(B,k4_finseq_1(A)) & k1_funct_1(A,B) = k5_numbers ) | ( r2_tarski(C,k4_finseq_1(A)) & k1_funct_1(A,C) = k5_numbers ) | B = C ) ) ) ) ) )).
fof(t11_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => m1_matrixj2(k16_matrixj1(u1_struct_0(B),A,k2_matrixj2(B,C,A)),B,C) ) ) ) )).
fof(t11_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) ) => k8_rvsum_1(k8_rvsum_1(A,B),C) = k8_rvsum_1(A,k4_rvsum_1(B,C)) ) ) ) ) )).
fof(t11_matrixr2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => k7_matrixr1(k3_xcmplx_0(A,B),C) = k7_matrixr1(A,k7_matrixr1(B,C)) ) ) ) )).
fof(t11_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k7_partfun1(u1_struct_0(A),B,C) = k4_struct_0(A) ) ) => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(t11_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_matroid0(A,B)))) => ( v3_pre_topc(C,k3_matroid0(A,B)) <=> ( v1_vectsp_7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t11_matrprob,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k3_finseq_2(A)) => ( ? [C] : ( v7_ordinal1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k3_finseq_1(k1_matrprob(A,B,D)) = C ) ) ) <=> ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) ) ) )).
fof(t11_matrtop1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k2_xcmplx_0(E,D),A) <=> r2_tarski(E,B) ) ) => k5_relat_1(k61_valued_1(C,D),A) = k61_valued_1(k5_relat_1(C,B),D) ) ) ) )).
fof(t11_matrtop2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_vectsp_4(C,k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B)) => ! [D] : ( m1_rlsub_1(D,k15_euclid(B)) => ( k2_struct_0(C) = k2_struct_0(D) => ( m1_vectsp_6(A,k2_vectsp_1,C) <=> m1_rlvect_2(A,D) ) ) ) ) ) )).
fof(t11_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v1_mazurulm(D,A,B) & v1_mazurulm(E,B,C) ) => v1_mazurulm(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t11_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r2_pboole(A,D,k4_pboole(A,B,C)) <=> ( r2_pboole(A,D,B) & r5_pboole(A,D,C) ) ) ) ) ) )).
fof(t11_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( r2_tarski(k1_xboole_0,B) & r2_tarski(A,B) & ! [D] : ! [E] : ( ( r2_tarski(D,B) & r2_tarski(E,B) ) => ( r2_tarski(k6_subset_1(A,D),B) & r2_tarski(k2_xboole_0(D,E),B) & r2_tarski(k3_xboole_0(D,E),B) ) ) ) ) ) )).
fof(t11_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_measure2(D,A,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( D = k4_measure1(A,B,E) => r1_xxreal_0(k3_funct_2(B,k6_numbers,C,k2_measure2(A,B,D)),k17_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C))) ) ) ) ) ) )).
fof(t11_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(B,D,k5_numbers) = k1_xboole_0 & ! [F] : ( v7_ordinal1(F) => ( k8_nat_1(B,D,k1_nat_1(F,1)) = k3_measure1(A,B,k8_nat_1(B,E,k5_numbers),k8_nat_1(B,E,F)) & r1_tarski(k8_nat_1(B,E,k1_nat_1(F,1)),k8_nat_1(B,E,F)) ) ) ) => ( r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k8_nat_1(B,E,k5_numbers))) | k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,E,C))) = k4_supinf_2(k12_supinf_2(C,k8_nat_1(B,E,k5_numbers)),k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)))) ) ) ) ) ) ) )).
fof(t11_measure4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => k8_nat_1(B,E,F) = k2_measure1(A,B,D,k8_nat_1(B,C,F)) ) ) ) ) ) )).
fof(t11_measure5,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ! [C] : ( ( v6_xxreal_2(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v6_xxreal_2(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(C,D) & D = k1_xxreal_1(A,B) & r1_xxreal_0(B,A) ) => ( k2_measure5(C) = k1_supinf_2 & k2_measure5(D) = k1_supinf_2 ) ) ) ) ) ) )).
fof(t11_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xxreal_0(B) => ( ? [C] : ( v1_xxreal_0(C) & r1_xxreal_0(B,C) & A = k2_xxreal_1(B,C) ) => B = k7_supinf_2(A) ) ) ) )).
fof(t11_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v6_supinf_2(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k4_ordinal1))) ) => ( ( v2_funct_1(D) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r2_tarski(E,C) => k12_supinf_2(A,E) = k12_supinf_2(k1_partfun1(C,k4_ordinal1,k4_ordinal1,k6_numbers,D,B),E) ) & ( ~ r2_tarski(E,C) => k12_supinf_2(A,E) = k1_supinf_2 ) ) ) ) => r1_xxreal_0(k17_supinf_2(A),k17_supinf_2(B)) ) ) ) ) ) ) )).
fof(t11_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => k12_supinf_2(k6_measure8(A,B,C),k1_xboole_0) = k5_numbers ) ) )).
fof(t11_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ( r2_hidden(B,A) <=> r2_hidden(k4_xcmplx_0(B),k5_member_1(A)) ) ) ) )).
fof(t11_membered,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v5_membered(A) ) => ? [B] : ( v1_int_1(B) & r2_hidden(B,A) ) ) )).
fof(t11_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v4_memstr_0(D,A,B) ) => k5_memstr_0(A,B,k1_funct_4(C,D)) = k5_memstr_0(A,B,C) ) ) ) ) )).
fof(t11_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => k1_euclid_6(k3_rlvect_1(k15_euclid(2),A,D),B,C) = k6_xcmplx_0(k2_xcmplx_0(k1_euclid_6(A,B,C),k1_euclid_6(D,B,C)),k1_euclid_6(k4_struct_0(k15_euclid(2)),B,C)) ) ) ) ) )).
fof(t11_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)) & v1_mesfunc8(B,A,k6_numbers) & k8_relset_1(A,k6_numbers,D,k6_domain_1(k6_numbers,k1_supinf_1)) = k1_xboole_0 & k8_relset_1(A,k6_numbers,D,k6_domain_1(k6_numbers,k2_supinf_1)) = k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,B,E),k3_mesfunc1(A,D,k4_mesfunc5(A,k6_numbers,C,E))) ) ) => ( r2_relset_1(A,k6_numbers,k5_mesfunc8(A,B),k3_mesfunc1(A,D,k5_mesfunc8(A,C))) & r2_relset_1(A,k6_numbers,k6_mesfunc8(A,B),k3_mesfunc1(A,D,k6_mesfunc8(A,C))) ) ) ) ) ) ) )).
fof(t11_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( r1_mesfun6c(A,B,C,E) & r1_mesfun6c(A,B,D,E) ) => r1_mesfun6c(A,B,k2_valued_1(A,k2_numbers,k2_numbers,C,D),E) ) ) ) ) ) ) )).
fof(t11_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers))) => r2_funct_2(k4_ordinal1,k6_numbers,k3_mesfunc5(A,k5_mesfun7c(A,B),C),k4_rinfsup2(k1_mesfunc5(k4_ordinal1,k10_seqfunc(A,B,C)))) ) ) ) ) )).
fof(t11_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ( v1_mesfunc8(B,A,k1_numbers) => k1_relset_1(A,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,B),C)) = k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers)) ) ) ) ) )).
fof(t11_mesfunc1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_xxreal_0(k6_xcmplx_0(A,k2_extreal1(1,k1_nat_1(C,1))),B) ) => r1_xxreal_0(A,B) ) ) ) )).
fof(t11_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( m1_subset_1(E,B) => ( ( v3_valued_0(C) & v3_valued_0(D) & r1_mesfunc1(A,B,C,E) & r1_mesfunc1(A,B,D,E) & r1_tarski(E,k1_relset_1(A,D)) ) => r1_mesfunc1(A,B,k4_mesfunc1(A,C,D),E) ) ) ) ) ) ) )).
fof(t11_mesfunc3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => m2_finseq_1(A,k6_numbers) ) )).
fof(t11_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ! [C] : ~ ( r2_tarski(C,k1_relset_1(A,B)) & r1_xxreal_0(k1_supinf_1,k12_supinf_2(B,C)) ) <=> v4_mesfunc5(B) ) ) ) )).
fof(t11_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( v1_xreal_0(F) => ( ! [G] : ( v7_ordinal1(G) => k1_funct_1(D,G) = k3_xboole_0(B,k13_mesfunc1(E,k2_xcmplx_0(F,k2_extreal1(1,k1_nat_1(G,1))))) ) => k3_xboole_0(B,k12_mesfunc1(E,F)) = k5_setfam_1(A,k4_measure1(A,C,D)) ) ) ) ) ) ) )).
fof(t11_mesfunc7,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( A = B => k4_mesfunc7(A,C) = k1_newton(B,C) ) ) ) ) )).
fof(t11_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k5_mesfunc8(A,B))) => ( k12_supinf_2(k5_mesfunc8(A,B),C) = k1_rinfsup2(k3_rinfsup2(k3_mesfunc5(A,B,C))) & k12_supinf_2(k5_mesfunc8(A,B),C) = k1_rinfsup2(k3_mesfunc5(A,k3_mesfunc8(A,B),C)) & k12_supinf_2(k5_mesfunc8(A,B),C) = k12_supinf_2(k2_mesfunc8(A,k3_mesfunc8(A,B)),C) ) ) ) & r2_relset_1(A,k6_numbers,k5_mesfunc8(A,B),k2_mesfunc8(A,k3_mesfunc8(A,B))) ) ) ) )).
fof(t11_mesfunc9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( v10_mesfunc5(B) & v10_mesfunc5(C) & v6_supinf_2(B) & v6_supinf_2(C) & ! [D] : ( v7_ordinal1(D) => k12_supinf_2(A,D) = k3_supinf_2(k12_supinf_2(B,D),k12_supinf_2(C,D)) ) ) => ( v6_supinf_2(A) & v10_mesfunc5(A) & k2_mesfunc5(A) = k3_supinf_2(k2_mesfunc5(B),k2_mesfunc5(C)) ) ) ) ) ) )).
fof(t11_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( l1_metric_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,k8_metric_1(B,C,A)) <=> ( ~ v2_struct_0(B) & ~ r1_xxreal_0(A,k1_metric_1(B,C,D)) ) ) ) ) ) ) )).
fof(t11_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_metric_2(A,B,C) <=> B = C ) ) ) ) )).
fof(t11_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,k10_metric_3(A,B),C,D) = k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,k10_metric_3(A,B),D,C) ) ) ) ) )).
fof(t11_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_metric_6(A,C,B) => k1_tbsp_1(A,C) = B ) ) ) ) )).
fof(t11_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)))) => ( ( v6_topgen_4(B,A) & D = k9_subset_1(u1_struct_0(A),B,C) ) => v6_topgen_4(D,k1_pre_topc(A,C)) ) ) ) ) ) )).
fof(t11_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_connsp_1(B,A) => ( v3_pre_topc(B,A) & ? [C] : ( v7_ordinal1(C) & ~ v2_struct_0(k1_pre_topc(A,B)) & v2_pre_topc(k1_pre_topc(A,B)) & v2_mfold_0(k1_pre_topc(A,B),C) & l1_pre_topc(k1_pre_topc(A,B)) ) ) ) ) ) )).
fof(t11_mfold_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_connsp_2(D,A,C) => ! [E] : ( ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r1_metrizts(A,B,D,E) & ! [F] : ( ( v3_pre_topc(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ! [G] : ( ( v3_pre_topc(G,B) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r1_tarski(F,D) & r2_tarski(C,F) & r1_metrizts(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t11_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( ( v2_mfold_1(B,A) & r1_mfold_2(B,C) ) => v2_mfold_1(C,A) ) ) ) ) )).
fof(t11_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_midsp_1(A,B,C,D,E) => r1_midsp_1(A,D,E,B,C) ) ) ) ) ) ) )).
fof(t11_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_midsp_2(A,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k1_midsp_2(A,B),k1_midsp_2(A,C)) ) ) ) )).
fof(t11_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( m1_midsp_3(C,A) => ( r2_midsp_3(A,C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m2_finseq_2(F,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [G] : ( m2_finseq_2(G,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ( G = k6_midsp_3(A,B,F,C,E) => k4_midsp_3(A,B,D,k6_midsp_3(A,B,F,C,k3_midsp_1(B,D,E))) = k3_midsp_1(B,D,k4_midsp_3(A,B,D,G)) ) ) ) ) ) ) ) ) ) )).
fof(t11_mmlquer2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => r1_tarski(k1_mmlquer2(A,B),k2_xboole_0(A,B)) ) ) )).
fof(t11_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( v7_ordinal1(D) => k12_mmlquery(A,B,C,k1_nat_1(D,1)) = k14_mmlquery(A,B,C,D) ) ) ) )).
fof(t11_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v3_mod_2(B,A) & l1_mod_2(B,A) ) => ! [C] : ( ( v3_mod_2(C,A) & l1_mod_2(C,A) ) => ~ ( k2_mod_2(A,B) = k3_mod_2(A,C) & ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,A) & v9_vectsp_1(E,A) & v10_vectsp_1(E,A) & v11_vectsp_1(E,A) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,A) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v8_vectsp_1(F,A) & v9_vectsp_1(F,A) & v10_vectsp_1(F,A) & v11_vectsp_1(F,A) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & l1_vectsp_1(F,A) ) => ~ ( m1_mod_2(B,A,E,F) & m1_mod_2(C,A,D,E) ) ) ) ) ) ) ) ) )).
fof(t11_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( k1_vectsp_7(A,B,C) = B & r1_tarski(C,D) ) => k1_vectsp_7(A,B,D) = B ) ) ) ) ) )).
fof(t11_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_mod_4(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k3_mod_4(A,B))) => ( ( D = E & F = G ) => k2_binop_1(u1_struct_0(k3_mod_4(A,B)),u1_struct_0(k2_mod_4(A)),u1_struct_0(k3_mod_4(A,B)),k4_mod_4(A,B,C),G,E) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),C,D,F) ) ) ) ) ) ) ) ) )).
fof(t11_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_trees_1(C) ) => ! [D] : ( m1_trees_1(D,A) => ( k5_trees_1(A,D,B) = k5_trees_1(A,D,C) => B = C ) ) ) ) ) )).
fof(t11_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_modcat_1(B,A) => ! [C] : ( m4_modcat_1(C,A,k4_modcat_1(A,B)) => ! [D] : ( m4_modcat_1(D,A,k4_modcat_1(A,B)) => ( r2_hidden(k4_tarski(C,D),k1_relset_1(k2_zfmisc_1(k4_modcat_1(A,B),k4_modcat_1(A,B)),k10_modcat_1(A,B))) <=> k2_mod_2(A,C) = k3_mod_2(A,D) ) ) ) ) ) )).
fof(t11_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,D))) => ( r2_tarski(E,D) => ( r3_modelc_1(A,B,D,C,E) <=> r2_tarski(E,k3_funct_2(A,k1_zfmisc_1(D),k46_modelc_1(A,D),C)) ) ) ) ) ) ) ) )).
fof(t11_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ~ ( ~ v4_modelc_2(A) & ~ v5_modelc_2(A) & ~ v7_modelc_2(A) & ~ v8_modelc_2(A) ) => ( k3_finseq_1(A) = k1_nat_1(k1_nat_1(1,k3_finseq_1(k11_modelc_2(A))),k3_finseq_1(k12_modelc_2(A))) & ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(k11_modelc_2(A))) & ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(k12_modelc_2(A))) ) ) ) )).
fof(t11_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k13_modelc_2(B))) => ( D = k2_xboole_0(C,k1_tarski(A)) => ( r2_tarski(A,C) | k18_modelc_3(B,D) = k2_xcmplx_0(k18_modelc_3(B,C),k3_finseq_1(A)) ) ) ) ) ) ) )).
fof(t11_moebius1,axiom,( ! [A] : ( ( v1_int_2(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ~ ( r1_int_2(B,C) & r1_nat_d(k11_newton(A,2),k2_nat_1(B,C)) & ~ r1_nat_d(k11_newton(A,2),B) & ~ r1_nat_d(k11_newton(A,2),C) ) ) ) ) )).
fof(t11_moebius2,axiom,( k9_newton(5) = k2_tarski(2,3) )).
fof(t11_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v14_monoid_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,B,D) => C = D ) ) ) ) ) ) )).
fof(t11_monoid_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v3_binop_1(C,B) => v3_binop_1(k8_monoid_1(B,B,B,C,A),k9_funct_2(A,B)) ) ) ) )).
fof(t11_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => k2_morph_01(A,k2_morph_01(A,B,C),D) = k2_morph_01(A,B,k2_morph_01(A,C,D)) ) ) ) ) )).
fof(t11_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k3_tarski(k10_xtuple_0(k8_msafree(A,B))) = k4_dtconstr(k5_msafree(A,B)) ) ) )).
fof(t11_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v6_trees_3(D) ) => ( r2_tarski(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),k2_msualg_1(A,C))) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,k1_msualg_1(A,C))) => r2_tarski(k1_funct_1(D,E),k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),k1_funct_1(k1_msualg_1(A,C),E))) ) ) ) ) ) ) ) )).
fof(t11_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( l1_msualg_1(C) => ! [D] : ( r2_tarski(D,u1_struct_0(C)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) ) => ( r2_tarski(A,k1_funct_1(k2_msafree3(C,k4_trees_4(k4_tarski(B,u1_struct_0(C)),E)),D)) <=> ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v3_trees_2(F) & r2_tarski(F,k10_xtuple_0(E)) & r2_tarski(A,k1_funct_1(k2_msafree3(C,F),D)) ) ) ) ) ) )).
fof(t11_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => r1_tarski(k10_xtuple_0(B),k3_trees_9(k4_trees_4(A,B))) ) )).
fof(t11_msafree5,axiom,( ! [A] : ( v3_finseq_1(A) => ! [B] : ( v3_finseq_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( k3_finseq_1(C) = k3_finseq_1(D) => ( C = D | r1_xboole_0(k2_msafree5(A,C),k2_msafree5(B,D)) ) ) ) ) ) ) )).
fof(t11_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(C,k7_msafree(A,B,D)) ) ) ) ) )).
fof(t11_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( k1_funct_1(k7_graph_2(A,B),C) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,C)) & k1_funct_1(k7_graph_2(A,B),k1_nat_1(C,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(t11_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pboole(A,B,C) => m1_pboole(B,A,C) ) ) ) )).
fof(t11_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_unialg_2(A,B) => ! [C] : ( m3_pboole(C,u1_struct_0(k6_msualg_1(B)),u3_msualg_1(k6_msualg_1(B),k9_msualg_1(B))) => ( C = u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A)) => u4_msualg_1(k6_msualg_1(A),k9_msualg_1(A)) = k4_msualg_2(k6_msualg_1(B),k9_msualg_1(B),C) ) ) ) ) ) )).
fof(t11_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msualg_2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & m1_msualg_2(C,A,B) ) => ( v2_relat_1(k2_msualg_2(A,B)) & m3_pboole(k2_msualg_2(A,B),u1_struct_0(A),u3_msualg_1(A,C)) ) ) ) ) )).
fof(t11_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ( ( r2_msualg_3(A,B,C,E) & r2_msualg_3(A,C,D,F) ) => r2_msualg_3(A,B,D,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),u3_msualg_1(A,D),E,F)) ) ) ) ) ) ) ) )).
fof(t11_msualg_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_msualg_4(C,A,B) & m1_msualg_4(C,A,B,B) ) => ! [D] : ( ( v1_msualg_4(D,A,B) & m1_msualg_4(D,A,B,B) ) => ( v1_msualg_4(k3_pboole(A,C,D),A,B) & m1_msualg_4(k3_pboole(A,C,D),A,B,B) ) ) ) ) ) )).
fof(t11_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_msualg_6(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r1_msualg_6(A,B,C,D,E) => ( v1_funct_1(E) & v1_funct_2(E,k1_funct_1(u3_msualg_1(A,D),B),k1_funct_1(u3_msualg_1(A,D),C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,D),B),k1_funct_1(u3_msualg_1(A,D),C)))) & k1_funct_1(u3_msualg_1(A,D),B) != k1_xboole_0 & k1_funct_1(u3_msualg_1(A,D),C) != k1_xboole_0 ) ) ) ) ) ) ) )).
fof(t11_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => ( k3_lattices(A,C,D) = k3_lattices(B,E,F) & k4_lattices(A,C,D) = k4_lattices(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t11_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_msualg_5(A,B)))) => ( v2_msualg_4(k16_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C),A,B) & v3_msualg_4(k16_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C),A,B) & m1_msualg_4(k16_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) ) )).
fof(t11_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v1_msualg_3(k15_msafree(A,B)) ) ) )).
fof(t11_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_unialg_2(A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(k6_msualg_1(A))) => r1_funct_2(k1_funct_1(u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A)),k2_msualg_1(k6_msualg_1(A),D)),k1_funct_1(u3_msualg_1(k6_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B))),k2_msualg_1(k6_msualg_1(A),D)),u1_struct_0(A),u1_struct_0(B),k1_msualg_3(u1_struct_0(k6_msualg_1(A)),u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A)),u3_msualg_1(k6_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B))),k2_msuhom_1(A,B,C),k2_msualg_1(k6_msualg_1(A),D)),C) ) ) ) ) ) )).
fof(t11_mycielsk,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_orders_2(A) ) => r1_xxreal_0(k1_dilworth(A),k4_card_1(u1_struct_0(A))) ) )).
fof(t11_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_nagata_1(B,A) => v1_pcomps_1(B,A) ) ) ) )).
fof(t11_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)))) ) => ( ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r2_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,k1_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,B,C),D) & r1_nagata_1(u1_struct_0(A),D) ) ) & ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => v1_series_1(k10_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),B,C)) ) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) => ( ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,C,D) = k4_series_1(k10_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),B,D)) ) => r1_nagata_1(u1_struct_0(A),C) ) ) ) ) ) )).
fof(t11_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(A,k2_xcmplx_0(A,B)) ) ) )).
fof(t11_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => r1_nat_d(k2_power(2,A),k2_power(2,B)) ) ) ) )).
fof(t11_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => k2_nat_3(k2_pre_poly(k1_numbers),A) = k2_pre_poly(k1_numbers) ) )).
fof(t11_nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k4_nat_d(k1_newton(A,k3_xcmplx_0(2,B)),C) = k4_nat_d(k2_nat_1(k4_nat_d(k1_newton(A,B),C),k4_nat_d(k1_newton(A,B),C)),C) ) ) ) )).
fof(t11_nat_5,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( r2_relset_1(k4_ordinal1,k1_numbers,C,k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k1_numbers,k14_finseq_1(A),B)) & r1_tarski(k7_subset_1(k4_ordinal1,k4_finseq_1(B),k8_relset_1(k4_ordinal1,k1_numbers,B,k6_domain_1(k4_ordinal1,k5_numbers))),A) & r1_tarski(A,k4_finseq_1(B)) ) => k18_rvsum_1(B) = k18_rvsum_1(C) ) ) ) )).
fof(t11_nat_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_int_1(C) & v2_xxreal_0(C) ) => ( r2_int_1(A,B,C) <=> k5_int_1(A,C) = k5_int_1(B,C) ) ) ) ) )).
fof(t11_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_nat_d(B,C) & r1_nat_d(B,A) ) => r1_nat_d(B,k2_nat_d(C,A)) ) ) ) ) )).
fof(t11_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_nat_lat)) => ( k1_binop_1(k1_nat_lat,B,k1_binop_1(k2_nat_lat,B,A)) = B & k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,A,B),B) = B & k1_binop_1(k1_nat_lat,B,k1_binop_1(k2_nat_lat,A,B)) = B & k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,B,A),B) = B ) ) ) )).
fof(t11_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,B,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k2_cat_1(A,F,G) != k1_xboole_0 => ! [H] : ( m1_cat_1(H,A,F,G) => k9_cat_3(A,F,G,C,k9_cat_1(A,B,C,D,E),H) = k9_cat_3(B,k8_cat_1(A,B,D,F),k8_cat_1(A,B,D,G),C,E,k9_cat_3(A,F,G,B,D,H)) ) ) ) ) ) ) ) ) ) )).
fof(t11_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_1(B,k4_finseq_2(A,k5_margrel1)) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))) ) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ~ ( k2_relset_1(k4_finseq_2(A,k5_margrel1),B) = C & k3_finseq_1(B) = A & v2_funct_1(B) & ! [E] : ( m2_vectsp_6(E,k2_bspace,k5_nbvectsp(A),C) => ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k2_finseq_1(A)) & k10_descip_1(A,D,F) != k1_funct_1(E,k1_funct_1(B,F)) ) ) ) ) ) ) ) )).
fof(t11_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r5_ncfcont1(A,B,C) <=> ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,F,C))) & r1_xxreal_0(D,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,B,F),k7_partfun1(k1_numbers,B,C)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_ncfcont2,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_clvect_1(D) & v3_clvect_1(D) & v4_clvect_1(D) & v5_clvect_1(D) & v8_clvect_1(D) & l2_clvect_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(C)))) ) => ( r2_ncfcont2(A,C,D,E) => r2_ncfcont2(A,C,D,k4_vfunct_1(u1_struct_0(D),C,E,B)) ) ) ) ) ) )).
fof(t11_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_ndiff_1(A,B,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,D)),k2_normsp_1(A,k1_ndiff_1(A,B,C),k1_ndiff_1(A,B,D))) ) ) ) ) )).
fof(t11_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v2_ndiff_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k7_partfun1(u1_struct_0(B),D,k4_struct_0(A)) = k4_struct_0(B) => ! [E] : ( ( v1_funct_1(E) & v2_ndiff_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( k7_partfun1(u1_struct_0(C),E,k4_struct_0(B)) = k4_struct_0(C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(F,A,B) & v1_lopban_1(F,A,B) & v2_lopban_1(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k6_vfunct_1(u1_struct_0(A),B,F,D),E)) & v2_ndiff_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k6_vfunct_1(u1_struct_0(A),B,F,D),E),A,C) & m1_subset_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k6_vfunct_1(u1_struct_0(A),B,F,D),E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) )).
fof(t11_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r2_ndiff_3(A,C,B) => v3_rcomp_1(B) ) ) ) ) )).
fof(t11_ndiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( ( r1_ndiff_4(B,C,A) & r1_ndiff_4(B,D,A) ) => ( r1_ndiff_4(B,k7_integr15(B,k1_numbers,C,D),A) & k1_ndiff_4(B,k7_integr15(B,k1_numbers,C,D),A) = k7_euclid(B,k1_ndiff_4(B,C,A),k1_ndiff_4(B,D,A)) ) ) ) ) ) ) )).
fof(t11_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_tarski(C,u1_struct_0(k11_prvect_2(A,B))) & r2_tarski(D,k4_card_3(k4_prvect_2(A))) ) => r2_tarski(k1_funct_7(D,B,C),u1_struct_0(k14_prvect_2(A))) ) ) ) ) )).
fof(t11_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( k1_funct_1(k5_ndiff_6(A,B,C,D),k5_numbers) = k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D) & k1_funct_1(k5_ndiff_6(A,B,C,D),1) = k4_ndiff_1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),D) & k1_funct_1(k5_ndiff_6(A,B,C,D),2) = k4_ndiff_1(A,k16_lopban_1(A,B),k4_ndiff_1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),D),D) ) ) ) ) ) )).
fof(t11_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) & v1_mazurulm(C,A,B) ) => ( v3_normsp_1(D,A) <=> v3_normsp_1(k1_partfun1(k4_ordinal1,u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C),B) ) ) ) ) ) ) )).
fof(t11_neckla_3,axiom,( u1_orders_2(k3_necklace(k4_necklace(4))) = k11_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,2),k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers),k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,3),k1_domain_1(k4_ordinal1,k4_ordinal1,3,k5_numbers),k1_domain_1(k4_ordinal1,k4_ordinal1,1,3),k1_domain_1(k4_ordinal1,k4_ordinal1,3,1)) )).
fof(t11_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,k5_card_1(C)) => ( r1_xxreal_0(B,A) | r2_tarski(A,k5_card_1(C)) ) ) ) ) ) )).
fof(t11_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => r1_tarski(k4_net_1(A,B),k2_net_1(A)) ) ) )).
fof(t11_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k1_newton(k5_numbers,A) = k5_numbers ) ) )).
fof(t11_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k7_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(A,C),k1_newton(B,C)),k2_xcmplx_0(A,B)),2),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(C,1)),k1_newton(B,k2_xcmplx_0(C,1)))) ) ) ) )).
fof(t11_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) => ( ! [E] : ( m1_nfcont_1(E,A,D) => k9_subset_1(u1_struct_0(A),k1_relset_1(u1_struct_0(A),C),E) != k1_tarski(D) ) | r1_nfcont_1(A,B,C,D) ) ) ) ) ) ) )).
fof(t11_nfcont_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & v1_nfcont_1(D,A) & r1_nfcont_2(D,A,B,C) ) => v1_nfcont_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) )).
fof(t11_nfcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ? [D] : ( m1_rcomp_1(D,A) & k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),D) = k1_tarski(A) ) => r1_nfcont_3(B,C,A) ) ) ) ) )).
fof(t11_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_nfcont_4(A,C,B) <=> ( r2_hidden(B,k1_relset_1(k1_numbers,C)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_euclid(A))) => ~ ( ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & a_4_0_nfcont_4(A,B,C,E) = D ) & ! [E] : ( m1_rcomp_1(E,B) => ? [F] : ( v1_xreal_0(F) & r2_hidden(F,k1_relset_1(k1_numbers,C)) & r2_hidden(F,E) & ~ r2_tarski(k7_partfun1(k1_euclid(A),C,F),D) ) ) ) ) ) ) ) ) ) )).
fof(t11_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => ( C = k1_normform(A,B,C,D) => r1_normform(A,B,D,C) ) ) ) ) ) )).
fof(t11_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & k2_normsp_0(A,k5_algstr_0(A,B,C)) = k5_numbers ) ) ) ) )).
fof(t11_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v4_frechet(k3_normsp_2(A)) ) )).
fof(t11_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_nfcont_1(B,A) <=> k1_normsp_3(A,B) = B ) ) ) )).
fof(t11_ntalgo_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) & k1_funct_1(C,D) = k5_numbers ) ) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) => ( k1_xtuple_0(k1_funct_1(A,D)) = k1_funct_1(B,D) & k2_xtuple_0(k1_funct_1(A,D)) = k1_funct_1(C,D) ) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) & r2_tarski(E,k2_finseq_1(k3_finseq_1(A))) ) => ( D = E | r1_int_2(k1_funct_1(C,D),k1_funct_1(C,E)) ) ) ) ) ) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(k3_finseq_1(A))) => k5_int_1(k4_ntalgo_1(A),k1_funct_1(C,D)) = k5_int_1(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) ) ) )).
fof(t11_numbers,axiom,( r1_tarski(k1_numbers,k2_numbers) )).
fof(t11_numeral2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => A = k5_afinsq_2(A,k4_ordinal1) ) )).
fof(t11_numpoly1,axiom,( k1_numpoly1(1) = 1 )).
fof(t11_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_o_ring_1(B,A) & v3_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t11_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(B,k1_funct_1(k8_openlatt(A),C)) <=> ( r2_tarski(B,k7_openlatt(A)) & r2_tarski(C,B) ) ) ) ) ) )).
fof(t11_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v4_oposet_1(A) => v3_oposet_1(A) ) ) )).
fof(t11_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_oppcat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_oppcat_1(A))) => ! [D] : ( m1_cat_1(D,k2_oppcat_1(A),B,C) => ( k3_graph_1(A,k6_oppcat_1(A,D)) = k4_graph_1(k2_oppcat_1(A),D) & k4_graph_1(A,k6_oppcat_1(A,D)) = k3_graph_1(k2_oppcat_1(A),D) ) ) ) ) ) )).
fof(t11_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_ordeq_01(B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_ordeq_01(B,C))) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( F = D & G = E & k1_relset_1(k1_numbers,F) = B & k1_relset_1(k1_numbers,G) = B ) => ( E = k1_rlvect_1(k2_ordeq_01(B,C),D,A) <=> ! [H] : ( m2_subset_1(H,k1_numbers,B) => k7_partfun1(u1_struct_0(C),G,H) = k1_rlvect_1(C,k7_partfun1(u1_struct_0(C),F,H),A) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_ordeq_02,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,u1_struct_0(k4_real_ns1(1))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(1))))) ) => ( ( C = k9_finseq_1(A) & D = k9_finseq_1(B) & E = k2_funct_1(k1_pdiff_1(1,1)) ) => ( ( r1_xxreal_0(A,B) => k7_relset_1(k1_numbers,u1_struct_0(k4_real_ns1(1)),E,k1_rcomp_1(A,B)) = k1_rltopsp1(k4_real_ns1(1),C,D) ) & ( ~ r1_xxreal_0(B,A) => k7_relset_1(k1_numbers,u1_struct_0(k4_real_ns1(1)),E,k2_rcomp_1(A,B)) = k2_ndiff_5(k4_real_ns1(1),C,D) ) ) ) ) ) ) ) ) )).
fof(t11_orders_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( ( r7_relat_2(C,A) & r1_tarski(B,A) ) => r7_relat_2(C,B) ) ) )).
fof(t11_orders_2,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ ( ? [D] : ( v6_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(B,D) & r2_tarski(C,D) ) & ~ r1_orders_2(A,B,C) & ~ r1_orders_2(A,C,B) ) & ~ ( ( r1_orders_2(A,B,C) | r1_orders_2(A,C,B) ) & ! [D] : ( ( v6_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(t11_orders_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => r1_tarski(k1_orders_3(A,B),k1_funct_2(u1_struct_0(A),u1_struct_0(B))) ) ) )).
fof(t11_ordinal1,axiom,( ! [A] : ( v1_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_xboole_0(A,B) => r2_tarski(A,B) ) ) ) )).
fof(t11_ordinal2,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k3_ordinal1(A),k3_ordinal1(B)) ) )).
fof(t11_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( r1_tarski(B,A) => v3_ordinal1(k1_setfam_1(B)) ) ) )).
fof(t11_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( v2_ordinal2(A) => ( v1_ordinal1(k8_relat_1(A,B)) & v2_ordinal1(k8_relat_1(A,B)) ) ) ) ) )).
fof(t11_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( r2_tarski(k5_numbers,A) & v4_ordinal1(B) ) => ( v1_xboole_0(B) | ( r2_hidden(C,k12_ordinal2(A,B)) <=> ? [D] : ( v3_ordinal1(D) & r2_tarski(D,B) & r2_hidden(C,k12_ordinal2(A,D)) ) ) ) ) ) ) )).
fof(t11_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r1_ordinal1(A,B) <=> r1_ordinal1(k3_ordinal5(A),k3_ordinal5(B)) ) ) ) )).
fof(t11_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => r1_orders_2(B,k5_algstr_0(B,E,k3_vectsp_1(A,B,k1_ortsp_1(A,B,C,D,E),D)),C) ) ) ) ) ) ) )).
fof(t11_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( k1_funct_1(C,k1_xboole_0) = k4_tarski(D,u1_struct_0(A)) => ( ? [E] : ( m2_dtconstr(E,k2_osafree(A,B),k9_osafree(A,B,D)) & C = k9_dtconstr(k2_osafree(A,B),k9_osafree(A,B,D),E) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,D),k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),E)) & r2_tarski(E,k3_msualg_1(A,D,k8_osafree(A,B))) & C = k1_funct_1(k5_msualg_1(A,D,k8_osafree(A,B)),E) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : C != k1_trees_4(k4_tarski(F,E)) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),E)) <=> r3_orders_2(A,k2_msualg_1(A,D),E) ) ) ) ) ) ) ) ) )).
fof(t11_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & l3_osalg_1(A) ) => ( v10_osalg_1(A) <=> ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( r2_osalg_1(A,C,k1_msualg_1(A,B)) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ~ r5_osalg_1(A,B,D,C) ) ) ) ) ) ) )).
fof(t11_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ( r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),C) => r2_pboole(u1_struct_0(A),k3_osalg_2(A,B),C) ) ) ) ) )).
fof(t11_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( v1_osalg_3(D,A) & r1_msualg_3(A,B,C,D) ) => v12_osalg_1(k6_msualg_3(A,B,C,D),A) ) ) ) ) ) )).
fof(t11_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_osalg_4(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r3_orders_2(A,D,B) & r3_orders_2(A,D,C) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r3_orders_2(A,B,D) & r3_orders_2(A,C,D) ) ) ) ) ) ) )).
fof(t11_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v7_struct_0(B) & v2_analoaf(B) & l1_analoaf(B) ) => ( B = k2_analoaf(A) => v6_papdesaf(B) ) ) ) )).
fof(t11_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_parsp_1(A))) => r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A))),k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A))),k1_domain_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),B,C),k1_domain_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),D,E)),k6_parsp_1(A)) ) ) ) ) ) )).
fof(t11_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( ~ r1_parsp_2(A,B,C,D) & r1_parsp_1(A,B,C,E,F) & r1_parsp_1(A,B,D,E,G) & E != F & E != G & r1_parsp_2(A,E,F,G) ) ) ) ) ) ) ) ) )).
fof(t11_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k5_relset_1(A,B,D,C)) & m1_subset_1(k5_relset_1(A,B,D,C),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(t11_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( r2_relset_1(B,A,D,k2_partfun2(A,B,C)) <=> ( k1_relset_1(B,D) = k2_relset_1(B,C) & ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,A) => ( ( ( r2_tarski(E,k2_relset_1(B,C)) & F = k7_partfun1(A,D,E) ) => ( r2_tarski(F,k1_relset_1(A,C)) & E = k7_partfun1(B,C,F) ) ) & ( ( r2_tarski(F,k1_relset_1(A,C)) & E = k7_partfun1(B,C,F) ) => ( r2_tarski(E,k2_relset_1(B,C)) & F = k7_partfun1(A,D,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) & r2_tarski(D,E) & r2_partit1(A,B,C,E) ) ) ) ) ) )).
fof(t11_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,B,C) => r1_bvfunc_1(A,k1_bvfunc_1(A,C),k1_bvfunc_1(A,B)) ) ) ) ) )).
fof(t11_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => v3_pasch(A) ) )).
fof(t11_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ~ ( r4_pboole(A,B,C) & ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ~ ( r1_pboole(A,D,B) & r1_pboole(A,D,C) ) ) ) ) ) )).
fof(t11_pcomps_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => v2_tops_2(k1_pcomps_1(A,B),A) ) ) )).
fof(t11_pcs_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_pcs_0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_pcs_0(A,B))) => ( r1_orders_2(k17_pcs_0(A,B),C,D) <=> ? [E] : ( m1_subset_1(E,A) & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_pcs_0(A,B,E))) & ? [G] : ( m1_subset_1(G,u1_struct_0(k15_pcs_0(A,B,E))) & F = C & G = D & r1_orders_2(k15_pcs_0(A,B,E),F,G) ) ) ) ) ) ) ) ) )).
fof(t11_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => k4_pdiff_1(B,A) = k3_relat_1(k1_pdiff_1(B,A),k2_funct_1(k1_pdiff_1(1,1))) ) ) )).
fof(t11_pdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( D = k10_finseq_1(A,B) & r3_pdiff_1(2,1,E,D) ) => ( C = k10_pdiff_1(2,1,E,D) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & D = k10_finseq_1(F,G) & ? [H] : ( m1_rcomp_1(H,F) & r1_tarski(H,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,E,D))) & ? [I] : ( v1_funct_1(I) & v3_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [J] : ( v1_funct_1(J) & v2_fdiff_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(I,1) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,H) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,1,E,D),K),k1_funct_1(k1_pdiff_2(2,1,E,D),F)) = k2_xcmplx_0(k1_funct_1(I,k6_xcmplx_0(K,F)),k1_funct_1(J,k6_xcmplx_0(K,F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r3_pdiff_3(B,A) <=> r3_pdiff_1(2,1,k1_pdiff_3(2,2,B),A) ) ) ) )).
fof(t11_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ~ ( D = k11_finseq_1(A,B,C) & r3_pdiff_1(3,2,E,D) & ! [F] : ( m1_rcomp_1(F,B) => ~ ( r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,E,D))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,E,D),I),k1_funct_1(k1_pdiff_2(3,2,E,D),B)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,B)),k1_funct_1(H,k6_xcmplx_0(I,B))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r2_pdiff_5(E,D) ) => k2_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,2,k1_pdiff_3(1,3,E),D),B) ) ) ) ) ) ) )).
fof(t11_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ( v1_pdiff_6(C,A,B) => k3_funct_2(k1_euclid(B),k1_euclid(A),C,k5_euclid(B)) = k5_euclid(A) ) ) ) ) )).
fof(t11_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,A) & B != k5_numbers & k1_finseq_7(k1_numbers,k5_euclid(A),C,B) = k5_euclid(A) ) ) ) ) )).
fof(t11_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) => ! [D] : ( v7_ordinal1(D) => k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(D,A),k5_algstr_0(k4_real_ns1(A),B,C)) = k5_algstr_0(k4_real_ns1(1),k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(D,A),B),k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(D,A),C)) ) ) ) ) )).
fof(t11_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,A) ) => k12_euclid(k1_funct_1(k6_pdiff_1(A,C,k5_euclid(A)),B)) = k9_complex1(B) ) ) ) ) )).
fof(t11_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_pralg_1(B) & v4_waybel_3(B) ) => ! [C] : ( m1_pboole(C,A,k12_pralg_1(A,B)) => m3_pboole(k1_pzfmisc1(A,C),A,k12_pralg_1(A,B)) ) ) ) )).
fof(t11_pencil_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ( ( v1_pencil_1(C,k5_pencil_1(A,B)) & v2_pencil_1(C,k5_pencil_1(A,B)) & v1_pencil_1(D,k5_pencil_1(A,B)) & v2_pencil_1(D,k5_pencil_1(A,B)) & r1_pencil_2(k5_pencil_1(A,B),C,D) ) => ( v1_zfmisc_1(C) | v1_zfmisc_1(D) | ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => ! [F] : ( ( ~ v13_pencil_1(F) & v16_pencil_1(F,A) & m3_pboole(F,A,k12_pralg_1(A,B)) ) => ( ( C = k4_card_3(E) & D = k4_card_3(F) ) => ( k3_pencil_1(A,E) = k3_pencil_1(A,F) & ! [G] : ( G != k3_pencil_1(A,E) => k1_funct_1(E,G) = k1_funct_1(F,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v11_pencil_1(B) & v14_pencil_1(B) ) => ! [C] : ( ( ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) ) => ! [D] : ( ( ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) ) => ( ( m1_pencil_2(k4_card_3(C),A,B) & m1_pencil_2(k4_card_3(D),A,B) & k3_pencil_1(A,C) = k3_pencil_1(A,D) ) => ( r2_subset_1(k4_card_3(C),k4_card_3(D)) | r8_pboole(A,C,D) ) ) ) ) ) ) )).
fof(t11_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_vectsp_4(F,A,B) => ! [G] : ( v7_ordinal1(G) => ( ( k1_nat_1(k1_vectsp_9(A,C),1) = G & k1_vectsp_9(A,D) = k1_nat_1(G,1) & r2_tarski(E,k3_pencil_4(A,B,C,D,G)) & r2_tarski(F,k3_pencil_4(A,B,C,D,G)) ) => ( E = F | ( k2_vectsp_5(A,B,E,F) = k2_vectsp_4(A,C) & k1_vectsp_5(A,B,E,F) = k2_vectsp_4(A,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( k4_nat_d(k3_xcmplx_0(C,A),B) = k4_nat_d(A,B) & r1_int_2(A,B) ) => ( r1_xxreal_0(B,1) | k4_nat_d(C,B) = 1 ) ) ) ) ) )).
fof(t11_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => k8_petri(A,k1_subset_1(u4_struct_0(A))) = k1_xboole_0 ) )).
fof(t11_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => r2_relset_1(u1_struct_0(A),k4_ordinal1,k6_petri_df(A,B,C),k7_petri_df(A,B,k12_finseq_1(u4_struct_0(A),C))) ) ) ) )).
fof(t11_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => r1_pnproc_1(A,k2_pnproc_1(A,k2_pnproc_1(A,B,C),D),k2_pnproc_1(A,B,k2_pnproc_1(A,C,D))) ) ) ) )).
fof(t11_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_polyalg1(B,A) => m1_polyalg1(B,A,B) ) ) )).
fof(t11_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( ! [F] : ( v1_xreal_0(F) => k2_polyeq_1(C,D,E,F) = k3_polyeq_1(C,F,A,B) ) => ( C = k5_numbers | ( k7_xcmplx_0(D,C) = k4_xcmplx_0(k2_xcmplx_0(A,B)) & k7_xcmplx_0(E,C) = k3_xcmplx_0(A,B) ) ) ) ) ) ) ) ) )).
fof(t11_polyeq_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ( ! [K] : ( v1_xreal_0(K) => k1_polyeq_2(A,B,C,D,E,K) = k2_polyeq_2(A,G,H,I,J,K) ) => ( A = k5_numbers | k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_newton(F,4)),k3_xcmplx_0(B,k1_newton(F,3))),k3_xcmplx_0(C,k1_square_1(F))),k3_xcmplx_0(D,F)),E),A) = k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(F,4),k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(G,H),I),J),k1_newton(F,3))),k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(G,H),k3_xcmplx_0(G,I)),k3_xcmplx_0(G,J)),k2_xcmplx_0(k3_xcmplx_0(H,I),k3_xcmplx_0(H,J))),k3_xcmplx_0(I,J)),k1_square_1(F))),k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G,H),I),k3_xcmplx_0(k3_xcmplx_0(G,H),J)),k3_xcmplx_0(k3_xcmplx_0(G,I),J)),k3_xcmplx_0(k3_xcmplx_0(H,I),J)),F)),k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(G,H),I),J)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xcmplx_0(D) => ~ ( A != k5_numbers & ~ r1_xxreal_0(k5_numbers,k1_quin_1(A,B,C)) & k4_polyeq_1(A,B,C,k5_numbers,D) = k5_numbers & D != k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(2,A))),k3_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)),k7_complex1)) & D != k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(2,A))),k3_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(k4_xcmplx_0(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A))),k7_complex1)) & D != k5_numbers ) ) ) ) ) )).
fof(t11_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(k1_newton(A,3),k1_newton(B,3)) = k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(k6_xcmplx_0(k1_square_1(A),k3_xcmplx_0(A,B)),k1_square_1(B))) & k2_xcmplx_0(k1_newton(A,5),k1_newton(B,5)) = k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k1_newton(A,4),k3_xcmplx_0(k1_newton(A,3),B)),k3_xcmplx_0(k1_newton(A,2),k1_newton(B,2))),k3_xcmplx_0(A,k1_newton(B,3))),k1_newton(B,4))) ) ) ) )).
fof(t11_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( ( C = k4_xcmplx_0(k2_xcmplx_0(D,E)) & B = k3_xcmplx_0(D,E) ) => ( k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,2),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ( A = D | A = E ) ) ) ) ) ) ) ) )).
fof(t11_polyform,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => r1_xxreal_0(k3_finseq_1(k7_finseq_1(A,B)),k3_finseq_1(k7_finseq_1(A,k7_finseq_1(B,C)))) ) ) ) )).
fof(t11_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => k1_polynom1(A,k8_finseq_1(u1_struct_0(A),C,D),B) = k8_finseq_1(u1_struct_0(A),k1_polynom1(A,C,B),k1_polynom1(A,D,B)) ) ) ) ) )).
fof(t11_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( k1_funct_1(k6_polynom3(2,C),A) = k2_polynom3(k4_ordinal1,D,k7_nat_d(C,D)) & k1_funct_1(k6_polynom3(2,C),B) = k2_polynom3(k4_ordinal1,E,k7_nat_d(C,E)) ) => ( ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(E,D) ) & ~ ( ~ r1_xxreal_0(E,D) & r1_xxreal_0(B,A) ) ) ) ) ) ) ) ) )).
fof(t11_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_polynom4(A,B),k14_funct_7(k4_ordinal1,u1_struct_0(A),k9_polynom3(A),k7_nat_d(k1_algseq_1(A,B),1),k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)))) ) ) )).
fof(t11_polynom5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_complfld)) => k2_polynom5(k3_finseq_4(u1_struct_0(k1_complfld),A,B,C)) = k11_finseq_1(k9_complex1(A),k9_complex1(B),k9_complex1(C)) ) ) ) )).
fof(t11_polynom6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) => ! [D] : ( m2_subset_1(D,k14_pre_poly(A),k15_pre_poly(A)) => ! [E] : ( m2_subset_1(E,k14_pre_poly(B),k15_pre_poly(B)) => ! [F] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) => ( r1_pre_poly(k10_ordinal2(A,B),k1_polynom6(A,B,C,E),k1_polynom6(A,B,D,F)) <=> ( r1_pre_poly(A,C,D) | ( r6_pboole(A,C,D) & r1_pre_poly(B,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t11_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k1_polynom7(A,B,k3_polynom7(A,B,C),k2_polynom7(A,B,C)),C) ) ) )).
fof(t11_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_xxreal_0(k1_algseq_1(A,k4_lopban_3(A,B,C)),k4_nat_1(k1_algseq_1(A,B),k1_algseq_1(A,C))) ) ) ) )).
fof(t11_polyred,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_group_1(B) & l5_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_polynom7(A,B,C,k6_algstr_0(B,D,E)),k5_polynom7(A,B,k5_polynom7(A,B,C,E),D)) ) ) ) ) )).
fof(t11_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,k6_poset_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_poset_1(A,B)))) ) => ( r1_yellow_0(k6_poset_1(A,B),C) & k8_poset_1(A,B,C) = k1_yellow_0(k6_poset_1(A,B),C) ) ) ) ) )).
fof(t11_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_ordinal1(A)) => ! [C] : ( m1_subset_1(C,k1_ordinal1(A)) => ( r2_tarski(k1_domain_1(k1_ordinal1(A),k1_ordinal1(A),B,C),k3_poset_2(A)) <=> ( B = A | B = C ) ) ) ) ) )).
fof(t11_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( ~ ( ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) & v1_abian(C) ) => k1_power(C,k3_xcmplx_0(A,B)) = k3_xcmplx_0(k1_power(C,A),k1_power(C,B)) ) ) ) ) )).
fof(t11_pralg_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ( k9_xtuple_0(k1_funct_6(k12_pralg_2(A,B,C,D))) = A & ! [E] : ( m1_subset_1(E,A) => k1_funct_1(k1_funct_6(k12_pralg_2(A,B,C,D)),E) = k3_msualg_1(B,D,k5_pralg_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(t11_pralg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(A,D,B)) => ( ( E = k1_xboole_0 & k1_msualg_1(A,D) = k1_xboole_0 ) => ( k3_msualg_1(A,D,B) = k1_xboole_0 | k3_msualg_1(A,D,C) = k1_xboole_0 | ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => k5_msualg_3(A,B,C,D,F,E) = k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(t11_pre_circ,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ! [C] : ( m1_trees_1(C,A) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k5_trees_1(A,C,B)) & r1_tarski(C,D) & ! [E] : ( m1_trees_1(E,B) => D != k8_finseq_1(k4_ordinal1,C,E) ) ) ) ) ) ) )).
fof(t11_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & k2_xcmplx_0(k1_int_1(k3_power(2,k3_xcmplx_0(2,A))),1) = k1_int_1(k3_power(2,k1_nat_1(k3_xcmplx_0(2,A),1))) ) ) )).
fof(t11_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r3_orders_1(C,B) => k3_finseq_1(k7_pre_poly(A,B,C)) = k4_card_1(B) ) ) ) )).
fof(t11_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t11_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( ~ r2_tarski(k1_domain_1(A,A,C,D),k3_subset_1(k2_zfmisc_1(A,A),B)) => r2_tarski(k1_domain_1(A,A,C,D),B) ) ) ) ) ) )).
fof(t11_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( m1_prelamb(B,A) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ~ ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,7) & k2_xtuple_0(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k4_ordinal1),B,C)) = D ) ) ) ) ) )).
fof(t11_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,A) => r1_xxreal_0(1,k1_newton(A,B)) ) ) ) )).
fof(t11_prgcor_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( ( B = k5_numbers & C = A & D = B ) => ( k4_int_1(A,B) = k5_numbers & k3_nat_d(C,D) = k5_numbers ) ) & ( ( r1_xxreal_0(k5_numbers,A) & C = A & D = B ) => ( r1_xxreal_0(B,k5_numbers) | k4_int_1(A,B) = k3_nat_d(C,D) ) ) & ( ( r1_xxreal_0(k5_numbers,A) & C = A & D = k4_xcmplx_0(B) ) => ( r1_xxreal_0(k5_numbers,B) | ( ( k2_nat_1(D,k3_nat_d(C,D)) = C => k4_int_1(A,B) = k4_xcmplx_0(k3_nat_d(C,D)) ) & ( k2_nat_1(D,k3_nat_d(C,D)) != C => k4_int_1(A,B) = k6_xcmplx_0(k4_xcmplx_0(k3_nat_d(C,D)),1) ) ) ) ) & ( ( C = k4_xcmplx_0(A) & D = B ) => ( r1_xxreal_0(k5_numbers,A) | r1_xxreal_0(B,k5_numbers) | ( ( k2_nat_1(D,k3_nat_d(C,D)) = C => k4_int_1(A,B) = k4_xcmplx_0(k3_nat_d(C,D)) ) & ( k2_nat_1(D,k3_nat_d(C,D)) != C => k4_int_1(A,B) = k6_xcmplx_0(k4_xcmplx_0(k3_nat_d(C,D)),1) ) ) ) ) & ( ( C = k4_xcmplx_0(A) & D = k4_xcmplx_0(B) ) => ( r1_xxreal_0(k5_numbers,A) | r1_xxreal_0(k5_numbers,B) | k4_int_1(A,B) = k3_nat_d(C,D) ) ) ) ) ) ) ) )).
fof(t11_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => m1_subset_1(k3_tarski(k10_xtuple_0(B)),k1_zfmisc_1(A)) ) )).
fof(t11_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ! [F] : ( m2_prob_1(F,A,B) => k3_funct_2(B,k1_numbers,F,k6_prob_1(A,B,k6_prob_1(A,B,C,D),E)) = k3_real_1(k5_real_1(k3_real_1(k3_real_1(k3_funct_2(B,k1_numbers,F,C),k3_funct_2(B,k1_numbers,F,D)),k3_funct_2(B,k1_numbers,F,E)),k3_real_1(k3_real_1(k3_funct_2(B,k1_numbers,F,k5_prob_1(A,B,C,D)),k3_funct_2(B,k1_numbers,F,k5_prob_1(A,B,D,E))),k3_funct_2(B,k1_numbers,F,k5_prob_1(A,B,C,E)))),k3_funct_2(B,k1_numbers,F,k5_prob_1(A,B,k5_prob_1(A,B,C,D),E))) ) ) ) ) ) ) )).
fof(t11_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => v3_prob_1(k2_prob_3(A,B)) ) )).
fof(t11_prob_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k6_numbers,A,B) & v2_seq_2(A) ) => k2_rinfsup1(A) = k2_xxreal_2(k2_relset_1(k6_numbers,B)) ) ) ) )).
fof(t11_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k9_cqc_lang(A,B,B),B),k4_cqc_the1(A)) ) ) )).
fof(t11_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,B,C,D) & r1_projdes1(A,B,C,D,E) & r1_projdes1(A,B,C,D,F) & r1_projdes1(A,B,C,D,G) & r1_projdes1(A,B,C,D,H) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( r1_collsp(A,E,F,I) & r1_collsp(A,G,H,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( r4_projpl_1(A,B,C,D) => ( r4_projpl_1(A,B,D,C) & r4_projpl_1(A,C,B,D) & r4_projpl_1(A,C,D,B) & r4_projpl_1(A,D,B,C) & r4_projpl_1(A,D,C,B) ) ) ) ) ) ) )).
fof(t11_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) => ( r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,D,C),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,B,D),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,D,B),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,B,C),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,C,B),E) ) ) ) ) ) ) ) )).
fof(t11_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => m1_projred2(k6_partfun1(k1_projred2(A,B)),A) ) ) )).
fof(t11_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m1_prvect_1(B,A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => ( v1_funct_1(k1_funct_1(B,C)) & v1_funct_2(k1_funct_1(B,C),k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)),k1_funct_1(A,C)) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)),k1_funct_1(A,C)))) ) ) ) ) ) ) )).
fof(t11_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_prvect_2(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k11_prvect_2(A,B))) => ! [G] : ( m1_subset_1(G,k4_card_3(k4_prvect_2(A))) => ! [H] : ( m1_subset_1(H,k4_card_3(k4_prvect_2(A))) => ( ( E = k1_funct_1(G,B) & G = C & F = k1_funct_1(H,B) & H = D ) => r1_xxreal_0(k2_normsp_0(k11_prvect_2(A,B),k5_algstr_0(k11_prvect_2(A,B),F,E)),k2_normsp_0(k14_prvect_2(A),k5_algstr_0(k14_prvect_2(A),D,C))) ) ) ) ) ) ) ) ) ) )).
fof(t11_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A)))))) & v2_funct_1(B) & v2_funct_2(B,u1_struct_0(k10_prvect_2(k9_finseq_1(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A))),B,C) = k12_finseq_1(u1_struct_0(A),C) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A))),B,k3_rlvect_1(A,C,D)) = k3_rlvect_1(k10_prvect_2(k9_finseq_1(A)),k3_funct_2(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A))),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A))),B,D)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A))),B,k1_rlvect_1(A,C,D)) = k1_rlvect_1(k10_prvect_2(k9_finseq_1(A)),k3_funct_2(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A))),B,C),D) ) ) & k3_funct_2(u1_struct_0(A),u1_struct_0(k10_prvect_2(k9_finseq_1(A))),B,k4_struct_0(A)) = k4_struct_0(k10_prvect_2(k9_finseq_1(A))) ) ) )).
fof(t11_pscomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) => ( r2_tarski(k5_numbers,k2_relset_1(k1_numbers,B)) | v1_pscomp_1(k6_measure6(u1_struct_0(A),k1_numbers,B),A) ) ) ) ) )).
fof(t11_pua2mss1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( r1_tarski(B,A) => ! [C] : ( m1_eqrel_1(C,A) => m1_eqrel_1(a_3_1_pua2mss1(A,B,C),B) ) ) ) )).
fof(t11_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( k1_nat_1(k1_pepin(A),k1_pepin(B)) = k1_pepin(C) & r1_int_2(A,B) & ~ v1_abian(A) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r1_xxreal_0(D,E) & A = k6_xcmplx_0(k1_pepin(E),k1_pepin(D)) & B = k2_nat_1(k2_nat_1(2,D),E) & C = k1_nat_1(k1_pepin(E),k1_pepin(D)) ) ) ) ) ) ) ) )).
fof(t11_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => r6_pboole(A,k2_pzfmisc1(A,B,B),k1_pzfmisc1(A,B)) ) )).
fof(t11_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => k7_qc_lang1(A,C) = B ) ) ) )).
fof(t11_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k2_qc_lang2(A,B,C) = k2_qc_lang2(A,D,E) => ( B = D & C = E ) ) ) ) ) ) ) )).
fof(t11_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v5_qc_lang1(B,A) => k24_qc_lang1(A,B) = k7_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,k22_qc_lang1(A,B)),k1_tarski(k21_qc_lang1(A,B))) ) ) ) )).
fof(t11_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k10_xtuple_0(k2_qc_lang4(A,B)) = k15_qc_lang2(A,B) ) ) )).
fof(t11_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(B)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( C = D => ( k1_calcul_1(k3_cqc_lang(B),C) = k1_calcul_1(k3_cqc_lang(A),D) & k2_calcul_1(B,C) = k2_calcul_1(A,D) ) ) ) ) ) ) )).
fof(t11_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k5_qmax_1(A)) => ! [C] : ( m1_subset_1(C,k5_qmax_1(A)) => ( r3_qmax_1(A,B,C) <=> r2_tarski(k1_domain_1(k1_zfmisc_1(k5_qmax_1(A)),k1_zfmisc_1(k5_qmax_1(A)),k6_eqrel_1(k5_qmax_1(A),k5_qmax_1(A),k9_qmax_1(A),B),k6_eqrel_1(k5_qmax_1(A),k5_qmax_1(A),k9_qmax_1(A),C)),k10_qmax_1(A)) ) ) ) ) )).
fof(t11_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,k6_algstr_0(A,B,C),D) <=> r3_lattices(A,C,k2_quantal1(A,B,D)) ) ) ) ) ) )).
fof(t11_quatern2,axiom,( k1_quatern2 = k5_quaterni(k5_numbers,k5_numbers,k5_numbers,k5_numbers) )).
fof(t11_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k1_square_1(k27_quaterni(A)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k12_quaterni(A)),k1_square_1(k13_quaterni(A))),k1_square_1(k14_quaterni(A))),k1_square_1(k15_quaterni(A))) ) )).
fof(t11_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C),k5_numbers) ) => ( r1_xxreal_0(k5_numbers,A) | r1_xxreal_0(k1_quin_1(A,B,C),k5_numbers) ) ) ) ) ) )).
fof(t11_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( k8_quofield(A,B,k8_quofield(A,C,D)) = k8_quofield(A,k8_quofield(A,B,C),D) & k8_quofield(A,B,C) = k8_quofield(A,C,B) ) ) ) ) ) )).
fof(t11_radix_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_tarski(A,k2_radix_1(B)) => v1_int_1(A) ) ) )).
fof(t11_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ! [C] : ( ( v3_card_1(C,B) & m2_finseq_1(C,k3_radix_1(A)) ) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k3_radix_1(A)) ) => ( r1_xxreal_0(2,A) => k2_xcmplx_0(k8_radix_1(B,A,k14_radix_1(B,A,C,D)),k3_xcmplx_0(k11_radix_1(k2_xcmplx_0(k4_radix_1(B,A,B,C),k4_radix_1(B,A,B,D))),k1_newton(k1_radix_1(A),B))) = k2_xcmplx_0(k8_radix_1(B,A,C),k8_radix_1(B,A,D)) ) ) ) ) ) ) )).
fof(t11_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k4_radix_3(C)) ) => ( r2_tarski(A,k2_finseq_1(B)) => m2_subset_1(k1_funct_1(D,A),k4_numbers,k4_radix_3(C)) ) ) ) ) ) )).
fof(t11_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k12_radix_1(k1_radix_1(A),A) = k5_numbers ) ) )).
fof(t11_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k6_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,k10_radix_1(B,k2_xcmplx_0(A,2),k5_numbers))) = k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_5(k2_xcmplx_0(A,2),A,B))) ) ) ) ) )).
fof(t11_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => r1_xxreal_0(k1_nat_1(A,1),k4_newton(B,k2_xcmplx_0(A,B))) ) ) ) )).
fof(t11_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_random_1(A),k6_numbers) & v10_valued_0(B) & v6_supinf_2(B) & v4_measure1(B,A,k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_random_1(A),k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ~ ( ~ r1_xxreal_0(k1_xxreal_0,k12_supinf_2(B,A)) & ! [D] : ( m2_finseq_1(D,k6_numbers) => ! [E] : ( m2_finseq_1(E,A) => ~ ( k3_finseq_1(D) = k4_card_1(A) & v2_funct_1(E) & k2_relset_1(A,E) = A & k3_finseq_1(E) = k4_card_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => k12_supinf_2(D,F) = k4_xxreal_3(k12_supinf_2(C,k1_funct_1(E,F)),k12_supinf_2(B,k1_tarski(k1_funct_1(E,F)))) ) ) & k1_mesfunc6(A,k1_random_1(A),B,C) = k4_extreal1(D) ) ) ) ) ) ) ) )).
fof(t11_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(A)) ) => ! [G] : ( m2_finseq_1(G,A) => ( ( v2_funct_1(G) & k2_relset_1(A,G) = F ) => ! [H] : ( m2_finseq_1(H,B) => ! [I] : ( m2_finseq_1(I,k2_zfmisc_1(A,B)) => ! [J] : ( ( ~ v1_xboole_0(J) & v1_finset_1(J) & m1_subset_1(J,k1_zfmisc_1(B)) ) => ! [K] : ( ( v1_finset_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v2_funct_1(H) & k2_relset_1(B,H) = J & v2_funct_1(I) & r2_relset_1(A,B,k2_relset_1(k2_zfmisc_1(A,B),I),K) & K = k2_zfmisc_1(F,J) & ! [L] : ! [M] : ( ( r2_tarski(L,F) & r2_tarski(M,J) ) => k1_binop_1(E,L,M) = k1_extreal1(k12_supinf_2(C,L),k12_supinf_2(D,M)) ) ) => k18_rvsum_1(k4_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),E,I)) = k3_xcmplx_0(k18_rvsum_1(k4_bhsp_5(k1_numbers,A,C,G)),k18_rvsum_1(k4_bhsp_5(k1_numbers,B,D,H))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & v1_random_3(E,A,B,C,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r1_tarski(a_5_0_random_3(A,B,C,D,E),C) & ~ v1_xboole_0(a_5_0_random_3(A,B,C,D,E)) & v1_prob_1(a_5_0_random_3(A,B,C,D,E),A) & v4_prob_1(a_5_0_random_3(A,B,C,D,E),A) & m1_subset_1(a_5_0_random_3(A,B,C,D,E),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) ) ) ) )).
fof(t11_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => r1_struct_0(k1_ranknull(A,B,C,D),k4_struct_0(B)) ) ) ) ) )).
fof(t11_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => r1_xxreal_0(1,k1_rat_1(A)) ) )).
fof(t11_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(A))) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(B,C) != k3_hurwitz(A,D,1) ) ) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( C = k3_group_4(k13_polynom3(A),B) & C = k9_polynom3(A) ) ) ) ) ) )).
fof(t11_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ( v5_xxreal_2(A) & v2_rcomp_1(A) ) => v1_rcomp_1(A) ) ) )).
fof(t11_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => k3_seq_4(k2_limfunc1(A)) = A ) )).
fof(t11_real_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) <=> ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) ) ) )).
fof(t11_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k5_real_lat(A),k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,C),D),k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,k1_funcsdom(A,k1_numbers,k5_real_lat(A),C,D))) ) ) ) ) )).
fof(t11_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(A))) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_euclid(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_euclid(A)))) ) => ( ( C = B & r1_funct_2(k4_ordinal1,k1_euclid(A),k4_ordinal1,u1_struct_0(k4_real_ns1(A)),E,D) ) => ( ( v3_normsp_1(D,k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A),D) = B ) <=> ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(A)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ! [H] : ( v7_ordinal1(H) => ( k8_nat_1(k1_numbers,G,H) = k1_funct_1(k5_real_ns1(A,E,H),F) & v2_comseq_2(G) & k1_funct_1(C,F) = k1_seq_2(G) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k8_group_1(A,B,k5_algstr_0(A,C,D)) = k5_algstr_0(A,k8_group_1(A,B,C),k8_group_1(A,B,D)) ) ) ) ) )).
fof(t11_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k1_realset3(A),B,C) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k4_vectsp_1(A),k4_binop_1(u1_struct_0(A),k1_realset3(A),C,B)) ) ) ) )).
fof(t11_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_tarski(A,B) => ( r1_tarski(k9_xtuple_0(A),k9_xtuple_0(B)) & r1_tarski(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) ) ) )).
fof(t11_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( k1_relset_1(B,k3_relset_1(A,B,C)) = k2_relset_1(B,C) & k2_relset_1(A,k3_relset_1(A,B,C)) = k1_relset_1(A,C) ) ) )).
fof(t11_relset_2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k9_relat_1(k3_xboole_0(B,C),A) = k3_xboole_0(k9_relat_1(B,A),k9_relat_1(C,A)) ) ) )).
fof(t11_revrot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r2_tarski(B,k10_xtuple_0(C)) => k7_partfun1(A,k1_finseq_6(A,C,B),k3_finseq_1(k2_finseq_5(A,C,B))) = k7_partfun1(A,C,k3_finseq_1(C)) ) ) ) ) )).
fof(t11_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) <=> ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & ~ r1_xxreal_0(k3_finseq_1(D),k5_numbers) & k1_funct_1(D,1) = B & k1_funct_1(D,k3_finseq_1(D)) = C & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(D)) & r2_tarski(k1_nat_1(E,1),k4_finseq_1(D)) ) => r2_hidden(k4_tarski(k1_funct_1(D,E),k1_funct_1(D,k1_nat_1(E,1))),A) ) ) ) ) ) )).
fof(t11_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ~ ( r2_rewrite2(A,B,C,C) & ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ~ ( C = k1_flang_1(A,k1_flang_1(A,D,F),E) & r1_rewrite2(A,B,F,F) ) ) ) ) ) ) ) )).
fof(t11_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ( k1_flang_1(A,D,B) = k1_flang_1(A,E,C) => ( ( k1_afinsq_1(D) != k1_afinsq_1(E) & k1_afinsq_1(B) != k1_afinsq_1(C) ) | ( D = E & B = C ) ) ) ) ) ) ) ) )).
fof(t11_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ( ( k3_finseq_1(A) = k1_nat_1(D,2) & k1_funct_1(A,k1_nat_1(D,1)) = B & k1_funct_1(A,k1_nat_1(D,2)) = C ) => k3_rfinseq(A) = k7_finseq_1(k17_finseq_1(k1_numbers,D,k3_rfinseq(A)),k10_finseq_1(k6_xcmplx_0(B,C),C)) ) ) ) ) ) )).
fof(t11_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( k3_rfinseq2(k6_rvsum_1(A)) = k4_xcmplx_0(k4_rfinseq2(A)) & k1_rfinseq2(k6_rvsum_1(A)) = k2_rfinseq2(A) ) ) ) )).
fof(t11_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k18_valued_1(C,k1_valued_1(A,B)) = k1_valued_1(k18_valued_1(C,A),k18_valued_1(C,B)) ) ) ) )).
fof(t11_rfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( r1_tarski(k2_relset_1(A,C),k1_relset_1(A,k6_rfunct_1(A,k1_numbers,B))) => v9_ordinal1(k8_funct_2(k4_ordinal1,k1_numbers,A,C,B)) ) ) ) ) )).
fof(t11_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( E != k5_numbers => ( r2_classes1(C,D) <=> r2_classes1(k26_valued_1(A,k1_numbers,C,E),k26_valued_1(B,k1_numbers,D,E)) ) ) ) ) ) ) ) )).
fof(t11_rfunct_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( r1_rfunct_4(B,C) <=> r1_rfunct_4(k15_valued_1(k1_numbers,k1_numbers,B,A),C) ) ) ) )).
fof(t11_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_seq_2(A) <=> v2_seq_2(k32_valued_1(k4_ordinal1,k1_numbers,A)) ) ) )).
fof(t11_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v3_rinfsup2(A) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) ) )).
fof(t11_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_ring_1(A,B))) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),D) ) ) ) ) )).
fof(t11_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_struct_0(A)) = k5_struct_0(B) <=> v3_mod_4(C,A,B) ) ) ) ) )).
fof(t11_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ( k1_ringcat1(k5_ringcat1(A)) = A & k2_ringcat1(k5_ringcat1(A)) = A & ! [B] : ( ( v2_ringcat1(B) & v3_ringcat1(B) & l1_ringcat1(B) ) => ( k2_ringcat1(B) = A => k6_ringcat1(k5_ringcat1(A),B) = B ) ) & ! [B] : ( ( v2_ringcat1(B) & v3_ringcat1(B) & l1_ringcat1(B) ) => ( k1_ringcat1(B) = A => k6_ringcat1(B,k5_ringcat1(A)) = B ) ) ) ) )).
fof(t11_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_convex1(A,B,1) = B ) ) )).
fof(t11_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m2_rlvect_2(C,A,B) => ( ( v2_convex1(C,A) & r2_tarski(k6_rlvect_2(A,C),k1_rlaffin2(A,B)) ) => k3_rlvect_2(A,C) = B ) ) ) ) )).
fof(t11_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r2_tarski(k5_euclid(A),B) => k4_rlaffin1(k15_euclid(A),B) = k2_struct_0(k1_rlvect_3(k15_euclid(A),B)) ) ) ) )).
fof(t11_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => k4_struct_0(B) = k4_struct_0(A) ) ) )).
fof(t11_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ( k1_rlsub_2(A,k2_rlsub_1(A),B) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) & k1_rlsub_2(A,B,k2_rlsub_1(A)) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) ) ) )).
fof(t11_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(B,D) & r1_tarski(C,E) ) => r1_tarski(k6_rusub_4(A,B,C),k6_rusub_4(A,D,E)) ) ) ) ) ) ) )).
fof(t11_rlvect_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( k1_rlvect_1(B,C,A) = k4_struct_0(B) & A != k5_numbers & C != k4_struct_0(B) ) ) ) ) )).
fof(t11_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B != C & C != D & B != D & k2_rlvect_2(A,k8_domain_1(u1_struct_0(A),B,C,D)) != k3_rlvect_1(A,k3_rlvect_1(A,B,C),D) ) ) ) ) ) )).
fof(t11_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,k4_struct_0(A)),A) & ~ v1_rlvect_3(k7_domain_1(u1_struct_0(A),k4_struct_0(A),B),A) ) ) ) )).
fof(t11_rlvect_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_struct_0(k1_rlvect_3(B,k7_domain_1(u1_struct_0(B),C,D)),A) <=> ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,E),k1_rlvect_1(B,D,F)) ) ) ) ) ) ) )).
fof(t11_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlvect_2(C,B) => ? [D] : ( m1_rlvect_2(D,A) & k3_rlvect_2(B,C) = k3_rlvect_2(A,D) & k6_rlvect_2(B,C) = k6_rlvect_2(A,D) ) ) ) ) )).
fof(t11_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r2_tarski(k4_struct_0(A),k2_rlvect_x(A,B)) ) ) )).
fof(t11_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => k4_struct_0(C) = k4_struct_0(B) ) ) ) )).
fof(t11_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ( k1_rmod_3(A,B,k2_rmod_2(A,B),C) = g1_vectsp_2(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_2(A,B)) & k1_rmod_3(A,B,C,k2_rmod_2(A,B)) = g1_vectsp_2(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ) ) ) )).
fof(t11_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_rmod_4(A,B,k9_subset_1(u1_struct_0(B),D,C)) = k5_algstr_0(B,k3_rlvect_1(B,k1_rmod_4(A,B,D),k1_rmod_4(A,B,C)),k1_rmod_4(A,B,k4_subset_1(u1_struct_0(B),D,C))) ) ) ) ) )).
fof(t11_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_robbins1(A,B,k3_robbins1(A,k5_robbins1(A,C,k3_robbins1(A,C)))) = B ) ) ) )).
fof(t11_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),D)),k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),C)))),C)) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),C)) ) ) ) ) )).
fof(t11_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & v5_lattices(A) ) => v5_lattices(B) ) ) ) )).
fof(t11_robbins4,axiom,( ! [A] : ( r2_tarski(A,u1_struct_0(k2_robbins4)) => r1_tarski(A,k1_enumset1(k5_numbers,1,2)) ) )).
fof(t11_rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(k2_rcomp_1(A,B),k1_relset_1(k1_numbers,C)) & r2_fdiff_1(C,k2_rcomp_1(A,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k2_rcomp_1(A,B)) => r1_xxreal_0(k5_numbers,k1_fdiff_1(C,D)) ) ) ) => v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(A,B))) ) ) ) ) )).
fof(t11_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ r1_xboole_0(k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),C),B) => r2_tarski(C,k4_roughs_1(A,B)) ) ) ) ) )).
fof(t11_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_yellow_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A,B) = k1_struct_0(A) ) ) )).
fof(t11_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A,B) = k2_pre_topc(A,B) ) ) )).
fof(t11_rpr_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_card_1(B,1) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ~ ( r1_tarski(B,k4_subset_1(A,C,k3_subset_1(A,C))) & ~ r1_tarski(B,C) & ~ r1_tarski(B,k3_subset_1(A,C)) ) ) ) ) )).
fof(t11_rsspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlsub_1(B,A) => ( v1_xboole_0(B) | m1_rlsub_1(g1_rlvect_1(B,k7_rsspace(A,B),k5_rsspace(A,B),k6_rsspace(A,B)),A) ) ) ) ) )).
fof(t11_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_rsspace4(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => v4_xxreal_2(k7_rsspace4(A,B,C)) ) ) ) )).
fof(t11_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => r1_struct_0(B,k4_struct_0(A)) ) ) )).
fof(t11_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ( k1_rusub_2(A,k2_rusub_1(A),B) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) & k1_rusub_2(A,B,k2_rusub_1(A)) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) ) ) ) )).
fof(t11_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_rlvect_3(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(B,C) & v1_rlvect_3(C,A) & k1_rusub_3(A,C) = g1_bhsp_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A),u1_bhsp_1(A)) ) ) ) ) ) )).
fof(t11_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ( k1_rusub_4(A) = k1_rusub_4(B) <=> k2_rusub_1(A) = k2_rusub_1(B) ) ) ) )).
fof(t11_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r1_tarski(k1_rusub_5(A,B,k6_domain_1(u1_struct_0(A),D)),k1_rusub_5(A,B,C)) ) ) ) ) ) )).
fof(t11_rvsum_1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(B,k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(B,k1_numbers)) => k1_funct_1(k5_rvsum_1(B,C,D),A) = k2_xcmplx_0(k1_funct_1(C,A),k1_funct_1(D,A)) ) ) ) )).
fof(t11_rvsum_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,B) & m2_finseq_1(C,k2_numbers) ) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k2_numbers) ) => k1_funct_1(k8_rvsum_2(B,C,D),A) = k6_xcmplx_0(k1_funct_1(C,A),k1_funct_1(D,A)) ) ) ) )).
fof(t11_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => k2_rvsum_3(A) = k3_funct_1(A) ) )).
fof(t11_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B)) = C & k3_compos_1(k1_ami_3,A,C) = k9_ami_3(F,E) ) => ( ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B),E),k5_numbers) => k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1))) = F ) & ( r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B),E),k5_numbers) => k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1))) = k1_nat_1(C,1) ) & ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_ami_3)) ) => k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,k1_nat_1(B,1)),G) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,A,D,B),G) ) ) ) ) ) ) ) ) ) )).
fof(t11_scm_comp,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,k17_scm_comp(A)) => k1_funct_1(B,k10_ami_3(D)) = k1_funct_1(C,k10_ami_3(D)) ) ) => k12_scm_comp(B,A) = k12_scm_comp(C,A) ) ) ) ) )).
fof(t11_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A) & r1_tarski(k1_scmfsa6a(C),B) & r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),A) ) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A),1))) = k4_card_1(C) ) ) ) ) )).
fof(t11_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ! [C] : ( m1_scmfsa_2(C) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(B,k10_xtuple_0(A)) => ( ( B != k16_scmfsa_2(D,C) & B != k17_scmfsa_2(D,C) ) | r2_tarski(D,k3_sf_mastr(A)) ) ) ) ) ) ) )).
fof(t11_scmfsa10,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k2_compos_0(k7_scmfsa_2(A,B)) = k1_xboole_0 ) ) )).
fof(t11_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(C) ) => k1_funct_1(k1_scmfsa6b(C,A,B),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) )).
fof(t11_scmfsa6c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k6_sf_mastr(k1_scmfsa6c(A,B)) = k1_xboole_0 ) ) )).
fof(t11_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( v7_ordinal1(B) => ~ r3_scmfsa7b(k11_scmfsa_2(B),A) ) ) )).
fof(t11_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ~ ( ~ r4_scmfsa7b(A,C) & ~ r4_scmfsa7b(B,C) & r4_scmfsa7b(k1_funct_4(A,B),C) ) ) ) ) )).
fof(t11_scmfsa8b,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => k4_card_1(k1_scmfsa8b(C,A,B)) = k1_nat_1(k1_nat_1(k4_card_1(A),k4_card_1(B)),4) ) ) ) )).
fof(t11_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k3_sf_mastr(k3_scmfsa_x(A,B)) = k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(A),k3_sf_mastr(B)) ) ) )).
fof(t11_scmfsa_1,axiom,( ! [A] : ( m2_subset_1(A,k1_scmfsa_1,k3_scmfsa_1) => k1_funct_1(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1),A) = k3_finseq_2(k4_numbers) ) )).
fof(t11_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => k4_memstr_0(k5_card_1(3),k1_scmfsa_2,A) = k4_numbers ) )).
fof(t11_scmfsa_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( v7_ordinal1(I) => ( k3_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)) = k12_scmfsa_2(I,H) => ( I = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)),1) | ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),H) = k5_numbers <=> k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),H) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_scmfsa_m,axiom,( k9_xtuple_0(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))) = k7_domain_1(u1_struct_0(k1_scmfsa_2),k4_scmfsa_2(k5_numbers),k4_struct_0(k1_scmfsa_2)) )).
fof(t11_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k3_scmfsa_x(A,B),k1_nat_1(k4_card_1(B),4)) = k2_compos_1(k1_scmfsa_2) ) ) )).
fof(t11_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k4_scmp_gcd,A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,4)) = 5 & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,4),k2_scmp_gcd) = k5_numbers & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,4),k3_scmp_gcd) = 7 & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,4),k1_scmp_gcd(k1_nat_1(7,k15_scmpds_i))) = 2 & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,4),k1_scmp_gcd(9)) = k1_funct_1(B,k1_scmp_gcd(9)) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,4),k1_scmp_gcd(10)) = k1_funct_1(B,k1_scmp_gcd(10)) ) ) ) ) )).
fof(t11_scmpds_2,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k1_ami_2,k2_ami_2) => ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ( r2_tarski(A,k3_enumset1(9,10,11,12,13)) => r2_hidden(k3_xtuple_0(A,k1_xboole_0,k7_finseq_4(B,C,D,E)),k1_scmpds_i) ) ) ) ) ) )).
fof(t11_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(D) & v4_extpro_1(D,k5_card_1(2),k1_scmpds_2,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_tarski(D,E) & r1_tarski(D,F) & r1_tarski(C,A) & r1_tarski(C,B) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v1_int_1(H) => ! [I] : ( v1_int_1(I) => ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) = k16_scmpds_2(J,K,H,I) & r2_tarski(J,k9_xtuple_0(D)) & r2_tarski(k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),J),H),k9_xtuple_0(D)) ) => k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),K),I)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),K),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k3_scmpds_4(k1_scmpds_4(B,C),A) = k1_scmpds_4(B,k3_scmpds_4(C,A)) ) ) ) )).
fof(t11_scmpds_6,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(D,k10_compos_1(k1_scmpds_2,k2_scmpds_4(A,C))),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B)) = A ) ) ) ) )).
fof(t11_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( r1_scmpds_6(E,C,A) & r2_scmpds_6(E,C,A) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,C) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,D) ) => ( k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C)) = k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D)) & k6_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,C)) = k6_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,E)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,D)) ) ) ) ) ) ) ) )).
fof(t11_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k1_scmpds_8(D,E,C),B,A)) = k1_nat_1(k4_card_1(C),2) ) ) ) ) ) ) )).
fof(t11_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,C,k13_scmpds_2(A,B,D,E)) = k1_tarski(k1_nat_1(C,1)) ) ) ) ) ) )).
fof(t11_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(k4_scmring1(A,B,C,D),C) = D ) ) ) ) )).
fof(t11_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(D,u1_struct_0(k1_scmring2(A))) ) => ( k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k3_scmring2(A,B,C),D),k4_struct_0(k1_scmring2(A))) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(A),D),1) & k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k3_scmring2(A,B,C),D),B) = k2_scmring2(A,D,C) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmring2(A))) ) => ( E != B => k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k3_scmring2(A,B,C),D),E) = k2_scmring2(A,D,E) ) ) ) ) ) ) ) )).
fof(t11_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( v7_ordinal1(C) => k5_compos_0(u1_compos_1(k1_scmring2(A)),k9_scmring2(A,C,B)) = 7 ) ) ) )).
fof(t11_scmring4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(B))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmring2(B))) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(E,u1_struct_0(k1_scmring2(B))) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmring2(B))) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(F,u1_struct_0(k1_scmring2(B))) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmring2(B))) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmring2(B))) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmring2(B))) & v1_funct_1(I) & v1_finset_1(I) & ~ v2_compos_1(I,k1_scmring2(B)) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmring2(B))) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & ~ v1_xboole_0(J) & v1_finset_1(J) & v4_extpro_1(J,k5_card_1(2),k1_scmring2(B),I) ) => ( ( r1_tarski(J,E) & r1_tarski(J,F) & r1_tarski(I,G) & r1_tarski(I,H) & k3_extpro_1(k5_card_1(2),k1_scmring2(B),G,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,E,A)) = k9_scmring2(B,D,C) ) => ( D = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,E,A)),1) | ( k2_scmring2(B,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,E,A),C) = k4_struct_0(B) <=> k2_scmring2(B,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,F,A),C) = k4_struct_0(B) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_scmringi,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k2_scm_inst) => ! [C] : ( v7_ordinal1(C) => r2_hidden(k3_xtuple_0(7,k9_finseq_1(C),k12_finseq_1(k2_scm_inst,B)),k1_scmringi(A)) ) ) ) )).
fof(t11_scmyciel,axiom,( ! [A] : ! [B] : ~ ( r2_tarski(B,k1_scmyciel(A)) & ! [C] : ! [D] : ~ ( C != D & r2_tarski(C,k3_tarski(A)) & r2_tarski(D,k3_tarski(A)) & B = k2_tarski(C,D) ) ) )).
fof(t11_scpinvar,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( k1_funct_1(k3_scpinvar(A,B,C),k5_numbers) = k7_scmpds_2(A,B,2) & k1_funct_1(k3_scpinvar(A,B,C),1) = k3_scmpds_2(k1_nat_1(k4_card_1(C),2)) & k1_funct_1(k3_scpinvar(A,B,C),k1_nat_1(k4_card_1(C),2)) = k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C),2))) ) ) ) ) )).
fof(t11_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) ) => ! [G] : ( v1_int_1(G) => ! [H] : ( v1_int_1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_funct_1(B,F),H),k1_funct_1(B,E)) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_funct_1(J,F),H),k1_funct_1(J,E)) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),D) = k1_funct_1(J,D) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),k2_scmpds_2(k1_funct_1(B,D),G)) = k6_xcmplx_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),I) & r1_scmpds_6(C,J,K) & r2_scmpds_6(C,J,K) & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),F),H),k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),E)) ) ) ) ) ) ) => ( r1_xxreal_0(I,k5_numbers) | ( r1_scmpds_6(k2_scmpds_7(D,G,I,C),B,A) & r2_scmpds_6(k2_scmpds_7(D,G,I,C),B,A) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m2_finseq_1(F,k4_numbers) => ! [G] : ( m2_finseq_1(G,k4_numbers) => ( ( k1_funct_1(B,k2_scmp_gcd) = k5_numbers & k1_funct_1(B,k1_scmp_gcd(2)) = C & r1_xxreal_0(k1_nat_1(D,1),C) & r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(4)),k2_xcmplx_0(D,E)) & r1_xxreal_0(7,D) & r1_scpisort(F,B,D) & k3_finseq_1(F) = E & r1_scpisort(G,k6_scmpds_4(k1_scpqsort,B,A),D) & k3_finseq_1(G) = E ) => ( r1_xxreal_0(k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),k1_funct_1(B,k1_scmp_gcd(2))),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k2_scmp_gcd) = k5_numbers & k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k1_scmp_gcd(1)) = k1_funct_1(B,k1_scmp_gcd(1)) & r2_classes1(F,G) & ? [H] : ( v7_ordinal1(H) & H = k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k1_scmp_gcd(4)) & r1_xxreal_0(C,H) & r1_xxreal_0(H,k1_funct_1(B,k1_scmp_gcd(4))) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(C,I) => ( r1_xxreal_0(H,I) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k1_scmp_gcd(I)),k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k1_scmp_gcd(H))) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(I,k1_funct_1(B,k1_scmp_gcd(4))) => ( r1_xxreal_0(I,H) | r1_xxreal_0(k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k1_scmp_gcd(H)),k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k1_scmp_gcd(I))) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( r1_xxreal_0(k1_nat_1(D,1),I) => ( ( r1_xxreal_0(k1_funct_1(B,k1_scmp_gcd(2)),I) & r1_xxreal_0(I,k1_funct_1(B,k1_scmp_gcd(4))) ) | k1_funct_1(k6_scmpds_4(k1_scpqsort,B,A),k1_scmp_gcd(I)) = k1_funct_1(B,k1_scmp_gcd(I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,B,E) & r2_analoaf(A,C,D,C,E) & r2_analoaf(A,D,B,D,E) ) => r2_analoaf(A,B,C,B,D) ) ) ) ) ) ) )).
fof(t11_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,k32_valued_1(k4_ordinal1,k1_numbers,B))) ) ) )).
fof(t11_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) ) => v2_comseq_2(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t11_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v5_xxreal_2(A) => ( v1_xboole_0(A) | r1_xxreal_0(k3_seq_4(A),k2_seq_4(A)) ) ) ) )).
fof(t11_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k2_seqfunc(A,B,1),B) ) ) )).
fof(t11_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v7_valued_0(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,k5_numbers),k8_nat_1(k1_numbers,A,B)) ) ) ) )).
fof(t11_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k3_funct_2(k4_ordinal1,k1_numbers,A,k5_numbers) ) => r2_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_valued_0(k1_numbers,A,1)),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_valued_0(k1_numbers,k3_series_1(A),1),B)) ) ) ) )).
fof(t11_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3))) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_xcmplx_0(1,18),k7_xcmplx_0(1,k2_nat_1(k2_nat_1(k2_nat_1(3,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)))) ) ) ) )).
fof(t11_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => r1_xxreal_0(k3_xcmplx_0(3,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,B),k3_xcmplx_0(B,C)),k3_xcmplx_0(A,C))),k1_square_1(k2_xcmplx_0(k2_xcmplx_0(A,B),C))) ) ) ) )).
fof(t11_series_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k1_newton(k7_xcmplx_0(1,A),C) ) => ( A = 1 | A = k5_numbers | ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(k7_xcmplx_0(1,A),C),A),k6_xcmplx_0(1,A)) ) ) ) ) ) )).
fof(t11_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => r1_xxreal_0(k3_square_1(k3_xcmplx_0(A,B)),k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),2))) ) ) )).
fof(t11_setfam_1,axiom,( ! [A] : ! [B] : k1_setfam_1(k2_tarski(A,B)) = k3_xboole_0(A,B) )).
fof(t11_setlim_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = B ) => k3_prob_1(A,C) = B ) ) ) )).
fof(t11_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r1_tarski(k5_subset_1(A,k1_prob_1(A,B),k1_prob_1(A,C)),k1_prob_1(A,k4_setlim_2(A,B,C))) ) ) )).
fof(t11_setwiseo,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(A)) => ! [C] : ( r1_tarski(C,B) => m1_subset_1(C,k5_finsub_1(A)) ) ) )).
fof(t11_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(D,B) & v2_binop_1(D,B) & v1_setwiseo(D,B) & v1_finseqop(D,B) & r8_binop_1(B,B,B,E,k7_finseqop(B,D,k6_partfun1(B),k5_finseqop(B,D))) ) => k4_binop_1(B,E,k7_setwiseo(A,B,D,C,F),k7_setwiseo(A,B,D,C,G)) = k7_setwiseo(A,B,D,C,k6_funcop_1(B,A,E,F,G)) ) ) ) ) ) ) ) ) )).
fof(t11_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_scmfsa_2(C) => ! [D] : ( m1_scmfsa_2(D) => ( k16_scmfsa_2(A,C) = k16_scmfsa_2(B,D) => ( A = B & C = D ) ) ) ) ) ) )).
fof(t11_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v4_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v1_scmfsa7b(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( v6_amistd_1(E,k5_card_1(3),k1_scmfsa_2) | r5_scmfsa7b(E,k1_scmfsa_m(B),A) ) => k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(E,C),B,A),D) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa6b(E,B,A)),D) ) ) ) ) ) ) )).
fof(t11_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( ~ ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) != 1 & v1_scmfsa_m(C) ) => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),k5_numbers),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(D)))) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(t11_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,E,A),k5_numbers),B) = k1_funct_1(A,C) ) ) ) ) ) ) )).
fof(t11_sgraph1,axiom,( k2_sgraph1(k1_xboole_0) = k1_xboole_0 )).
fof(t11_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => v9_lattices(A) ) )).
fof(t11_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,B)) = B ) ) ) )).
fof(t11_simplex0,axiom,( ! [A] : ! [B] : ( v6_ordinal1(B) => v6_ordinal1(k2_xboole_0(B,k1_tarski(k2_xboole_0(k3_tarski(B),A)))) ) )).
fof(t11_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => m1_simplex1(B,A,B) ) ) )).
fof(t11_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ! [C] : ( ( v3_pre_topc(C,k4_simplex1(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_simplex1(A,B)))) ) => ! [D] : ( ( v6_ordinal1(D) & v1_finset_1(D) & v5_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( C = k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(E,C) & r2_tarski(F,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( v1_xreal_0(I) => ~ ( r2_tarski(G,k4_simplex0(k4_simplex1(A,k5_simplex0(u1_struct_0(A),k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k5_setfam_1(u1_struct_0(A),D)))))) & r2_tarski(H,k4_simplex0(k4_simplex1(A,k5_simplex0(u1_struct_0(A),k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k5_setfam_1(u1_struct_0(A),D)))))) & k5_algstr_0(A,E,F) = k1_rlvect_1(A,k5_algstr_0(A,G,H),I) & r1_xxreal_0(k5_numbers,I) & r1_xxreal_0(I,k7_xcmplx_0(k6_xcmplx_0(k4_card_1(k5_setfam_1(u1_struct_0(A),D)),1),k4_card_1(k5_setfam_1(u1_struct_0(A),D)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => k8_nat_1(k2_numbers,k10_sin_cos(k1_nat_1(C,1),B,A),D) = k2_xcmplx_0(k8_nat_1(k2_numbers,k10_sin_cos(C,B,A),D),k8_nat_1(k2_numbers,k9_sin_cos(k1_nat_1(C,1),B,A),D)) ) ) ) ) ) )).
fof(t11_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k18_sin_cos,A) = k1_funct_1(k18_sin_cos,k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A)) ) ) )).
fof(t11_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k10_funct_2(k2_numbers,k2_numbers,k3_sin_cos3,k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k7_partfun1(k2_numbers,k3_sin_cos3,A),k7_partfun1(k2_numbers,k4_sin_cos3,B)),k3_xcmplx_0(k7_partfun1(k2_numbers,k4_sin_cos3,A),k7_partfun1(k2_numbers,k3_sin_cos3,B))) ) ) )).
fof(t11_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( k19_sin_cos(A) != k5_numbers & k19_sin_cos(B) != k5_numbers & k19_sin_cos(C) != k5_numbers & k17_sin_cos(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) != k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k19_sin_cos(A),k19_sin_cos(B)),k19_sin_cos(C)),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)),k1_sin_cos4(C)),k3_xcmplx_0(k3_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)),k1_sin_cos4(C)))) ) ) ) ) )).
fof(t11_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ( k19_sin_cos(A) != k5_numbers => k1_square_1(k4_sin_cos4(A)) = k2_xcmplx_0(1,k1_square_1(k1_sin_cos4(A))) ) ) )).
fof(t11_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( ~ r1_xxreal_0(A,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)) & ~ r1_xxreal_0(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(k17_sin_cos(A),k5_numbers) ) ) ) )).
fof(t11_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(1,k1_square_1(A)) => ( ~ r1_xxreal_0(k2_xcmplx_0(A,1),k5_numbers) & ~ r1_xxreal_0(k6_xcmplx_0(1,A),k5_numbers) ) ) ) )).
fof(t11_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k3_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k4_sin_cos2(k2_xcmplx_0(A,B)),k4_sin_cos2(k6_xcmplx_0(A,B)))) & k3_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(B)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k2_sin_cos2(k2_xcmplx_0(A,B)),k2_sin_cos2(k6_xcmplx_0(A,B)))) & k3_xcmplx_0(k4_sin_cos2(A),k2_sin_cos2(B)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k2_sin_cos2(k2_xcmplx_0(A,B)),k2_sin_cos2(k6_xcmplx_0(A,B)))) & k3_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k4_sin_cos2(k2_xcmplx_0(A,B)),k4_sin_cos2(k6_xcmplx_0(A,B)))) ) ) ) )).
fof(t11_sin_cos9,axiom,( k2_relset_1(k1_numbers,k1_sin_cos9) = k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)) )).
fof(t11_sincos10,axiom,( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(t11_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => r1_sppol_1(A,B,k1_rltopsp1(k15_euclid(A),B,C)) ) ) ) )).
fof(t11_sppol_2,axiom,( k3_topreal1(2,k6_finseq_1(u1_struct_0(k15_euclid(2)))) = k1_xboole_0 )).
fof(t11_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k20_pscomp_1(A),A) & r2_tarski(k21_pscomp_1(A),A) ) ) )).
fof(t11_sprect_2,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,A) & k18_euclid(B) = k9_pscomp_1(A) ) => r2_tarski(B,k17_pscomp_1(A)) ) ) ) )).
fof(t11_sprect_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( v1_sppol_1(k1_rltopsp1(k15_euclid(2),A,B)) & v2_sppol_1(k1_rltopsp1(k15_euclid(2),D,C)) & r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,B)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,B),k1_rltopsp1(k15_euclid(2),D,C)) = k1_tarski(C) ) ) ) ) ) )).
fof(t11_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k10_xtuple_0(A)) & r2_tarski(C,k10_xtuple_0(A)) & r2_tarski(D,k10_xtuple_0(A)) & ~ r1_xxreal_0(k4_finseq_4(A,C),k4_finseq_4(A,B)) & ~ r1_xxreal_0(k4_finseq_4(A,D),k4_finseq_4(A,C)) & r1_xxreal_0(k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)),A,D),C),k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)),A,D),B)) ) ) ) ) ) )).
fof(t11_square_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k6_xcmplx_0(k1_square_1(A),k1_square_1(B)) != k5_numbers => k7_xcmplx_0(1,k6_xcmplx_0(A,B)) = k7_xcmplx_0(k2_xcmplx_0(A,B),k6_xcmplx_0(k1_square_1(A),k1_square_1(B))) ) ) ) )).
fof(t11_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ~ ( r1_tarski(k3_tarski(D),C) & m1_eqrel_1(D,k3_tarski(D)) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ~ ( r1_xboole_0(k3_tarski(E),k3_tarski(D)) & m1_eqrel_1(k4_subset_1(B,D,E),C) ) ) ) ) ) ) )).
fof(t11_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(k8_stacks_1(A))) => k9_stacks_1(k8_stacks_1(A),B) = B ) ) )).
fof(t11_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => k3_nat_1(A) = k5_numbers ) )).
fof(t11_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ( ~ r2_tarski(B,k9_xtuple_0(k19_substut1(A,E))) => k3_funct_2(k3_qc_lang1(A),C,k1_sublemma(A,C,D,k3_sublemma(A,E,C,D)),B) = k3_funct_2(k3_qc_lang1(A),C,D,B) ) ) ) ) ) ) )).
fof(t11_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k4_subset_1(A,B,k2_subset_1(A)) = k2_subset_1(A) ) )).
fof(t11_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => k3_substlat(A,B,C) = C ) )).
fof(t11_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v4_substut1(B,A) => v2_qc_lang1(k18_substut1(A,B),A) ) ) ) )).
fof(t11_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ? [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,E) = B & k19_substut1(A,E) = D ) ) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ? [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,E) = k11_cqc_lang(A,C,B) & k19_substut1(A,E) = D ) ) ) ) ) ) )).
fof(t11_supinf_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ( ( v3_xxreal_2(A) & v3_xxreal_2(B) ) => r1_xxreal_0(k3_supinf_2(k7_supinf_2(A),k7_supinf_2(B)),k7_supinf_2(k5_supinf_2(A,B))) ) ) ) )).
fof(t11_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r1_orders_2(B,k5_algstr_0(B,C,D),F) & r1_orders_2(B,k5_algstr_0(B,C,E),F) ) => r1_orders_2(B,k5_algstr_0(B,D,E),F) ) ) ) ) ) ) ) )).
fof(t11_sysrel,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_tarski(A,B) => r1_tarski(k2_relat_1(A),k2_relat_1(B)) ) ) ) )).
fof(t11_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k4_borsuk_1(A,A,D,E),k1_t_0topsp(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) ) ) ) ) ) ) )).
fof(t11_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_setfam_1(k10_eqrel_1(A),k1_tarski(A)) ) )).
fof(t11_taxonom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( B = k1_xboole_0 => v5_taxonom2(B,A) ) ) )).
fof(t11_taylor_1,axiom,( ~ r1_xxreal_0(k4_power,2) )).
fof(t11_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( r2_hidden(E,k2_rcomp_1(k4_xcmplx_0(A),A)) => ( r1_xxreal_0(F,k5_numbers) | r1_xxreal_0(1,F) | r1_xxreal_0(k9_complex1(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k22_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A)),D),k3_xcmplx_0(F,E)),k1_newton(E,D)),k2_newton(D))),k7_xcmplx_0(k3_xcmplx_0(B,k1_newton(C,D)),k2_newton(D))) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ( v6_metric_1(A) => ( r1_xxreal_0(C,k5_numbers) | r2_tarski(B,k8_metric_1(A,B,C)) ) ) ) ) ) )).
fof(t11_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_tdgroup(A,B,C,E,F) & r1_tdgroup(A,B,D,E,G) ) => r1_tdgroup(A,C,D,F,G) ) ) ) ) ) ) ) ) )).
fof(t11_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,B)),B),C))),k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,B)),B),C)) = k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))),k4_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t11_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_pcomps_1(A,B),k1_pcomps_1(A,C)),k1_pcomps_1(A,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C))) ) ) ) )).
fof(t11_tdlat_3,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( r2_tarski(k1_xboole_0,u1_pre_topc(A)) & r2_tarski(u1_struct_0(A),u1_pre_topc(A)) & k9_setfam_1(u1_struct_0(A)) = k2_tarski(k1_xboole_0,u1_struct_0(A)) ) => ( v1_tdlat_3(A) & v2_tdlat_3(A) ) ) ) )).
fof(t11_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r6_pboole(A,k1_termord(A,B,C,D),C) | r6_pboole(A,k1_termord(A,B,C,D),D) ) ) ) ) ) )).
fof(t11_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_xboole_0(B) => k2_pre_topc(A,B) = u1_struct_0(A) ) ) => v2_tdlat_3(A) ) ) )).
fof(t11_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_tex_2(B,A) & m1_pre_topc(B,A) ) => g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) ) ) )).
fof(t11_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( v1_tops_1(D,B) <=> v1_tops_1(C,A) ) ) ) ) ) ) )).
fof(t11_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_domain_1(u1_struct_0(A),B) = k6_setfam_1(u1_struct_0(A),k1_tex_4(A,B)) ) ) )).
fof(t11_tietze,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( r1_seqfunc(A,k1_numbers,C,B) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ! [E] : ( ( v2_xxreal_0(E) & v1_xreal_0(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ! [G] : ( v7_ordinal1(G) => r1_tietze(k45_valued_1(k1_seqfunc(A,k1_numbers,C,G),F),k3_xcmplx_0(D,k2_power(E,G)),B) ) => ( r1_xxreal_0(1,E) | ( r2_seqfunc(A,C,B) & k11_seqfunc(A,C,B) = F ) ) ) ) ) ) ) ) ) ) )).
fof(t11_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k5_numbers,C) => r2_tarski(B,k3_tietze_2(A,B,k2_finseq_2(A,C))) ) ) ) ) )).
fof(t11_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C))) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => E != D ) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => E != D ) ) ) ) ) ) )).
fof(t11_toler_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_tarski(B,A) => ( v1_relat_2(k1_toler_1(C,B)) & v3_relat_2(k1_toler_1(C,B)) & v1_partfun1(k1_toler_1(C,B),B) & m1_subset_1(k1_toler_1(C,B),k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) ) )).
fof(t11_topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_borsuk_1)) => r1_xxreal_0(k12_euclid(k9_euclid(A,B,C)),k12_euclid(B)) ) ) ) )).
fof(t11_topalg_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => v1_borsuk_2(k4_topmetr(A,B)) ) ) ) )).
fof(t11_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & B = k1_tarski(u1_struct_0(A)) & m1_setfam_1(B,u1_struct_0(A)) & v1_tops_2(B,A) ) ) )).
fof(t11_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => r1_borsuk_6(A,C,D) ) ) ) ) ) ) ) )).
fof(t11_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( C = D & v2_connsp_2(C,A) ) => v2_connsp_2(D,B) ) ) ) ) ) )).
fof(t11_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_topalg_6(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => r3_borsuk_2(A,B,B,C,D) ) ) ) ) ) )).
fof(t11_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) ) => ! [B] : ( ( v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => ! [E] : ( ( v3_funct_1(E) & m1_borsuk_2(E,A,B,B) ) => r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k1_borsuk_2(A,B,B,B,C,D),k5_topalg_7(A,B,k1_borsuk_2(A,B,B,B,C,E),k1_borsuk_2(A,B,B,B,E,D))) ) ) ) ) ) )).
fof(t11_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( v1_int_1(C) => ( ( ( v2_topdim_1(B,A) & r1_xxreal_0(k3_topdim_1(A,B),C) ) => ( r1_xxreal_0(k4_xcmplx_0(1),C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,B) => ( v1_topdim_1(D,A) & r1_xxreal_0(k2_topdim_1(A,D),C) ) ) ) ) ) & ( ( r1_xxreal_0(k4_xcmplx_0(1),C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,B) => ( v1_topdim_1(D,A) & r1_xxreal_0(k2_topdim_1(A,D),C) ) ) ) ) => ( v2_topdim_1(B,A) & r1_xxreal_0(k3_topdim_1(A,B),C) ) ) ) ) ) ) )).
fof(t11_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( v4_pre_topc(C,B) & v4_pre_topc(D,B) & r1_xboole_0(C,D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r1_xxreal_0(k2_topdim_1(B,E),A) & v5_waybel23(k1_pre_topc(B,E)) & v3_topdim_1(k1_pre_topc(B,E)) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r2_metrizts(B,C,D,F) & r1_xxreal_0(k2_topdim_1(B,k9_subset_1(u1_struct_0(B),F,E)),k3_xxreal_3(A,1)) ) ) ) ) ) ) ) ) ) )).
fof(t11_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_tops_1(A,B)) <=> ? [D] : ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(E,D) => ( ~ r1_xboole_0(B,E) & k7_subset_1(u1_struct_0(A),E,B) != k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(t11_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & r1_tarski(C,B) & k5_setfam_1(u1_struct_0(A),C) = k5_setfam_1(u1_struct_0(A),B) & r1_ordinal1(k1_card_1(C),k2_waybel23(A)) ) ) ) )).
fof(t11_topgen_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( v3_pre_topc(k3_rcomp_1(A,B),k2_topgen_3) & m1_subset_1(k3_rcomp_1(A,B),k1_zfmisc_1(u1_struct_0(k2_topgen_3))) ) ) ) )).
fof(t11_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ( v7_topgen_1(A) <=> v1_orders_4(A) ) ) )).
fof(t11_topgen_5,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v4_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(B)) & v5_pre_topc(E,k1_pre_topc(A,C),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(B)) & v5_pre_topc(F,k1_pre_topc(A,D),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(B)))) ) => ( v1_funct_1(k1_funct_4(E,F)) & v1_funct_2(k1_funct_4(E,F),u1_struct_0(k1_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D))),u1_struct_0(B)) & v5_pre_topc(k1_funct_4(E,F),k1_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D)),B) & m1_subset_1(k1_funct_4(E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,k4_subset_1(u1_struct_0(A),C,D))),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t11_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k8_relset_1(u1_struct_0(A),u1_struct_0(A),k3_group_1(A),B) = k1_group_2(A,B) ) ) )).
fof(t11_topmetr,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_metric_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_metric_1)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( C = A & D = B ) => k3_metric_1(k7_metric_1,A,B) = k9_complex1(k6_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t11_topmetr3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( v4_xxreal_2(A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( v7_valued_0(B) & v2_comseq_2(B) & r1_tarski(k2_relset_1(k1_numbers,B),A) & k1_seq_2(B) = k2_seq_4(A) ) ) ) ) )).
fof(t11_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ( r1_topreal1(k15_euclid(A),D,C,B) & k9_subset_1(u1_struct_0(k15_euclid(A)),k1_rltopsp1(k15_euclid(A),E,D),B) = k1_tarski(D) ) => r1_topreal1(k15_euclid(A),E,C,k4_subset_1(u1_struct_0(k15_euclid(A)),k1_rltopsp1(k15_euclid(A),E,D),B)) ) ) ) ) ) ) )).
fof(t11_topreal3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(B,C),k19_euclid(B,D))) => k17_euclid(A) = B ) ) ) ) ) )).
fof(t11_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) = k18_euclid(A) & v4_topreal1(B) & r2_tarski(A,k2_topreal1(2,B,1)) & C = k3_finseq_4(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k17_euclid(A)),2),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),A) ) => ( A = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) | ( v4_topreal1(C) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) = A & r1_topreal4(k3_topreal1(2,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,C),k3_topreal1(2,B)) & k3_topreal1(2,C) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),1,B)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A)) ) ) ) ) ) ) )).
fof(t11_topreal5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k3_topmetr)))) ) => ( A = k5_pscomp_1 => v5_pre_topc(A,k15_euclid(2),k3_topmetr) ) ) )).
fof(t11_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k12_rvsum_1(k10_finseq_1(A,B)) = k10_finseq_1(k1_square_1(A),k1_square_1(B)) ) ) )).
fof(t11_topreal7,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k3_euclid(k8_finseq_1(k1_numbers,A,B)) = k8_finseq_1(k1_numbers,k3_euclid(A),k3_euclid(B)) ) ) )).
fof(t11_topreal8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ( ( ~ v1_zfmisc_1(C) & m2_finseq_1(C,A) ) => ( k7_partfun1(A,C,k3_finseq_1(C)) = k7_partfun1(A,B,1) => v1_finseq_6(k4_graph_2(A,B,C),A) ) ) ) ) )).
fof(t11_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( r2_tarski(C,k2_topreal9(A,k4_struct_0(k15_euclid(A)),B)) => r1_xxreal_0(k12_euclid(C),B) ) ) ) ) )).
fof(t11_topreala,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v1_t_0topsp(D,A,B) & v1_t_0topsp(E,B,C) ) => v1_t_0topsp(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t11_toprealb,axiom,( ! [A] : ( ( v1_toprealb(A) & m1_pre_topc(A,k15_euclid(2)) ) => ! [B] : ( ( v1_toprealb(B) & m1_pre_topc(B,k15_euclid(2)) ) => r2_borsuk_3(A,B) ) ) )).
fof(t11_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k12_euclid(k8_rvsum_1(k2_finseq_2(A,B),k2_finseq_2(A,C))) = k3_xcmplx_0(k3_square_1(A),k9_complex1(k6_xcmplx_0(B,C))) ) ) ) )).
fof(t11_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k3_toprns_1(A,B) = k2_toprns_1(k4_xcmplx_0(1),A,B) ) ) )).
fof(t11_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v3_pre_topc(C,A) ) => v3_pre_topc(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t11_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( r1_tarski(B,C) & v1_tops_2(C,A) ) => v1_tops_2(B,A) ) ) ) ) )).
fof(t11_tops_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_tops_1(C,A) & r1_tarski(B,C) ) => v2_tops_1(B,A) ) ) ) ) )).
fof(t11_tops_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_topmetr),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(A)))) ) => ( v1_t_0topsp(B,k3_topmetr,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k3_topmetr)) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ? [E] : ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(A),B,C),E) & r1_tarski(E,k7_relset_1(u1_struct_0(k3_topmetr),u1_struct_0(A),B,k2_rcomp_1(k6_xcmplx_0(C,D),k2_xcmplx_0(C,D)))) ) ) ) ) ) ) )).
fof(t11_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,A) & v3_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( k3_funct_2(A,A,C,B) = B => k3_funct_2(A,A,k2_transgeo(A,C,D),k3_funct_2(A,A,D,B)) = k3_funct_2(A,A,D,B) ) ) ) ) ) )).
fof(t11_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v7_transgeo(C,A) & v7_transgeo(D,A) & r2_analoaf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,B),B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,B)) ) => r2_analoaf(A,B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,B),B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_transgeo(u1_struct_0(A),D,C),B)) ) ) ) ) ) )).
fof(t11_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(k5_numbers,1))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_topmetr(k5_numbers,1))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_topmetr(A,B))) => k3_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k4_treal_1(A,B,C,D),E) = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D,C),k6_xcmplx_0(B,A)),E),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(B,C),k3_xcmplx_0(A,D)),k6_xcmplx_0(B,A))) ) ) ) ) ) ) )).
fof(t11_trees_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_tarski(A,k1_trees_1(B)) => ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) ) ) )).
fof(t11_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m4_trees_1(B,A) => ! [C] : ( m1_trees_2(C,A) => ? [D] : ( m1_trees_1(D,A) & r1_tarski(k9_subset_1(A,B,C),k1_tarski(D)) ) ) ) ) )).
fof(t11_trees_3,axiom,( ! [A] : ! [B] : ( v3_trees_3(A) => ( v3_trees_3(k3_xboole_0(A,B)) & v3_trees_3(k3_xboole_0(B,A)) & v3_trees_3(k6_subset_1(A,B)) ) ) )).
fof(t11_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v6_trees_3(C) ) => ( r2_hidden(B,k9_xtuple_0(k4_trees_4(A,C))) <=> ~ ( B != k1_xboole_0 & ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v3_trees_2(E) ) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(E)) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),D) & E = k1_funct_1(C,k1_nat_1(D,1)) & B = k8_finseq_1(k4_ordinal1,k14_trees_3(D),F) ) ) ) ) ) ) ) )).
fof(t11_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => r2_tarski(A,k3_trees_9(A)) ) )).
fof(t11_trees_a,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(A,k9_xtuple_0(B)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k9_xtuple_0(k7_trees_2(B,A,C))) & ~ ( ~ r1_tarski(A,D) & k1_funct_1(k7_trees_2(B,A,C),D) = k1_funct_1(B,D) ) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ~ ( r2_tarski(E,k9_xtuple_0(C)) & D = k8_finseq_1(k4_ordinal1,A,E) & k1_funct_1(k7_trees_2(B,A,C),D) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(t11_tsep_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => ( ( v1_borsuk_1(B,A) & m1_pre_topc(B,A) ) <=> v4_pre_topc(C,A) ) ) ) ) ) )).
fof(t11_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_2(A,B,C) => ( v3_pre_topc(B,A) <=> v4_pre_topc(C,A) ) ) ) ) ) )).
fof(t11_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_tsp_1(B,A) ) ) )).
fof(t11_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => ( v1_tsp_2(C,A) <=> v2_tsp_2(B,A) ) ) ) ) ) )).
fof(t11_turing_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( l1_turing_1(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C)))) => ( ( r1_xxreal_0(A,B) & k8_turing_1(C,k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),A)) = k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),A) ) => k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),B) = k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),A) ) ) ) ) ) )).
fof(t11_twoscomp,axiom,( k1_funct_1(k1_facirc_1,k10_finseq_1(k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k1_facirc_1,k10_finseq_1(k5_numbers,1)) = 1 & k1_funct_1(k1_facirc_1,k10_finseq_1(1,k5_numbers)) = 1 & k1_funct_1(k1_facirc_1,k10_finseq_1(1,1)) = k5_numbers & k1_funct_1(k8_twoscomp,k10_finseq_1(k5_numbers,k5_numbers)) = 1 & k1_funct_1(k8_twoscomp,k10_finseq_1(k5_numbers,1)) = k5_numbers & k1_funct_1(k8_twoscomp,k10_finseq_1(1,k5_numbers)) = k5_numbers & k1_funct_1(k8_twoscomp,k10_finseq_1(1,1)) = 1 )).
fof(t11_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m1_unialg_2(C,A) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => m1_unialg_2(B,C) ) ) ) ) )).
fof(t11_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k6_unialg_2(A)) => r2_tarski(C,u1_struct_0(B)) ) ) ) )).
fof(t11_uniform1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k9_complex1(k6_xcmplx_0(A,B)) = k9_complex1(k6_xcmplx_0(B,A)) ) ) )).
fof(t11_uniroots,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_group_1(k1_complfld,k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A))),k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C),A)))) = k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k4_nat_d(k2_xcmplx_0(B,C),A)),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k4_nat_d(k2_xcmplx_0(B,C),A)),A))) ) ) ) )).
fof(t11_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) ) => ( r6_pboole(A,B,k16_pre_poly(A)) => k2_uproots(A,B) = k5_numbers ) ) )).
fof(t11_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(A)) => ( ~ r1_xxreal_0(B,k7_xcmplx_0(k6_xcmplx_0(k5_urysohn1(A,B),1),k1_newton(2,A))) & ~ r1_xxreal_0(k7_xcmplx_0(k1_nat_1(k5_urysohn1(A,B),1),k1_newton(2,A)),B) ) ) ) )).
fof(t11_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( v4_measure5(A) => ( r1_xxreal_0(B,k5_numbers) | v4_measure5(k1_integra2(A,B)) ) ) ) ) )).
fof(t11_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( ( F = k1_funct_1(k2_urysohn3(A,B,C,D),E) & r2_hidden(E,k3_urysohn1) ) => v3_pre_topc(F,A) ) ) ) ) ) ) ) ) ) )).
fof(t11_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_valuat_1(E,A,B) => r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,E,k7_cqc_lang(A,C,D)),k15_margrel1(k2_valuat_1(A,B),k8_valuat_1(A,B,E,C),k8_valuat_1(A,B,E,D))) ) ) ) ) ) )).
fof(t11_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v5_relat_1(A,k4_numbers) <=> ! [B] : v1_int_1(k1_funct_1(A,B)) ) ) )).
fof(t11_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( k9_xtuple_0(k39_valued_1(A)) = k9_xtuple_0(A) & ! [B] : k1_funct_1(k39_valued_1(A),B) = k1_square_1(k1_funct_1(A,B)) ) ) )).
fof(t11_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k30_valued_1(k13_valued_1(B,A)) = k7_valued_1(k30_valued_1(B),A) ) ) )).
fof(t11_vectmetr,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_vectmetr(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_vectmetr(A)),u1_struct_0(k4_vectmetr(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_vectmetr(A)),u1_struct_0(k4_vectmetr(A))))) ) => ( B = C => k2_group_1(k5_vectmetr(A),B) = k2_tops_2(u1_struct_0(k4_vectmetr(A)),u1_struct_0(k4_vectmetr(A)),C) ) ) ) ) )).
fof(t11_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(D,E) => m1_subset_1(E,u1_struct_0(C)) ) ) ) ) ) ) )).
fof(t11_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_vectsp11(k3_struct_0(B),A,B) & m1_vectsp11(k1_group_1(A),A,B,k3_struct_0(B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => m2_vectsp11(C,A,B,k3_struct_0(B),k1_group_1(A)) ) ) ) ) )).
fof(t11_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,k5_algstr_0(A,C,D)) = k5_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) ) ) ) ) )).
fof(t11_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & C != k4_struct_0(A) & k6_algstr_0(A,k9_algstr_0(A,B),k9_algstr_0(A,C)) != k9_algstr_0(A,k6_algstr_0(A,C,B)) ) ) ) ) )).
fof(t11_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => k4_struct_0(C) = k4_struct_0(B) ) ) ) )).
fof(t11_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( k1_vectsp_5(A,B,k2_vectsp_4(A,B),C) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) & k1_vectsp_5(A,B,C,k2_vectsp_4(A,B)) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) ) ) )).
fof(t11_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k3_vectsp_6(A,B,k2_finseq_4(u1_struct_0(B),C,D),E) = k2_finseq_4(u1_struct_0(B),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) ) ) ) ) ) )).
fof(t11_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( C = u1_struct_0(D) => k1_vectsp_7(A,B,C) = D ) ) ) ) ) )).
fof(t11_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( m1_lattice4(C,A,B) <=> ( m4_vectsp_8(C,A,B) & m3_vectsp_8(C,A,B) ) ) ) ) ) )).
fof(t11_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( v1_vectsp_7(D,A,C) => ( v1_vectsp_7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) ) )).
fof(t11_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_relset_1(A,u1_struct_0(B),k3_vfunct_1(A,B,k47_valued_1(A,k1_numbers,k1_numbers,D,E),C),k2_vfunct_1(A,B,k3_vfunct_1(A,B,D,C),k3_vfunct_1(A,B,E,C))) ) ) ) ) ) )).
fof(t11_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,u1_struct_0(B),k1_vfunct_2(A,B,k46_valued_1(A,k2_numbers,k2_numbers,D,E),C),k2_vfunct_1(A,B,k1_vfunct_2(A,B,D,C),k1_vfunct_2(A,B,E,C))) ) ) ) ) ) )).
fof(t11_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( v7_ordinal1(K) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,H,D,k1_vfunct_1(u1_struct_0(C),D,k1_vsdiff_1(u1_struct_0(C),B,D,E,I),k1_vsdiff_1(u1_struct_0(C),B,D,F,J))),k1_nat_1(K,1)),G) = k3_rlvect_1(D,k3_vectsp_1(B,D,I,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,H,D,E),k1_nat_1(K,1)),G)),k3_vectsp_1(B,D,J,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,H,D,F),k1_nat_1(K,1)),G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_waybel10,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_yellow_1(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_yellow_1(A,B))) => ( ( E = C & F = D ) => ( r1_orders_2(k5_yellow_1(A,B),E,F) <=> r1_yellow_2(A,B,C,D) ) ) ) ) ) ) ) )).
fof(t11_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v4_pre_topc(k5_waybel_0(A,B),A) ) ) )).
fof(t11_waybel12,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_yellow_4(A,B,k6_domain_1(u1_struct_0(A),k3_yellow_0(A))) = k6_domain_1(u1_struct_0(A),k3_yellow_0(A)) ) ) )).
fof(t11_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) => ( v1_waybel_3(B,k1_yellow_1(k7_waybel_0(A))) <=> ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & v14_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t11_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => k5_waybel_0(A,k4_yellow_0(A)) = u1_struct_0(A) ) )).
fof(t11_waybel15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v22_waybel_0(D,A,B) & v22_waybel_0(E,B,C) ) => v22_waybel_0(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t11_waybel16,axiom,( ! [A] : ( ~ v1_xboole_0(k9_setfam_1(A)) & v2_waybel_0(k9_setfam_1(A),k2_yellow_1(A)) & v13_waybel_0(k9_setfam_1(A),k2_yellow_1(A)) & m1_subset_1(k9_setfam_1(A),k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) )).
fof(t11_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => r3_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_waybel11(A,D)),k1_waybel11(B,k6_waybel_9(A,B,C,D))) ) => v5_orders_3(C,A,B) ) ) ) ) )).
fof(t11_waybel18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_waybel18(A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(k8_waybel18(A,B,C),A,k7_waybel18(A,B,C)) => r1_waybel18(A,B) ) ) ) ) ) )).
fof(t11_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) => v21_waybel_0(C,A,B) ) ) ) ) )).
fof(t11_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v5_orders_2(D) & l1_orders_2(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( ( v18_waybel_0(E,A,C) & v18_waybel_0(F,B,D) ) => v18_waybel_0(k1_waybel20(A,B,C,D,E,F),k3_yellow_3(A,B),k3_yellow_3(C,D)) ) ) ) ) ) ) ) )).
fof(t11_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & v3_waybel_0(B,A) & m1_yellow_0(B,A) ) => v21_waybel_0(k1_yellow_9(A,B),B,A) ) ) )).
fof(t11_waybel22,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(A)) & v13_waybel_0(B,k2_yellow_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) => B = k1_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),a_2_0_waybel22(A,B)) ) )).
fof(t11_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_yellow_0(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => r1_tarski(k3_waybel_0(B,D),k3_waybel_0(A,C)) ) ) ) ) ) )).
fof(t11_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( v5_waybel_0(D,k3_yellow_3(A,B),C) => ( v5_waybel_0(k1_waybel24(A,B,C,D,E),B,C) & v5_waybel_0(k2_waybel24(A,B,C,D,F),A,C) ) ) ) ) ) ) ) ) )).
fof(t11_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_waybel18(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( m1_pre_topc(A,B) => r1_waybel18(A,B) ) ) ) )).
fof(t11_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v5_pre_topc(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( v11_quantal1(C) => v11_quantal1(k4_waybel26(A,B,B,C)) ) ) ) ) )).
fof(t11_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ( m1_yellow_0(B,C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( ( v5_orders_3(D,A,B) & r1_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E) ) => v5_orders_3(E,A,C) ) ) ) ) ) ) ) )).
fof(t11_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),u1_waybel_0(A,B)) = g1_waybel_0(A,u1_struct_0(C),u1_orders_2(C),u1_waybel_0(A,C)) => m2_yellow_6(C,A,B) ) ) ) ) )).
fof(t11_waybel29,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v24_waybel_0(k2_yellow16(A,B,C)) ) => v24_waybel_0(k4_yellow_1(A,B)) ) ) ) )).
fof(t11_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => k2_waybel19(A) = k2_waybel19(B) ) ) ) )).
fof(t11_waybel31,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v8_struct_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(B,k2_waybel_8(A,B)) ) ) ) )).
fof(t11_waybel32,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v24_waybel_0(A) & v25_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_yellow_9(B,A) => ( u1_pre_topc(B) = k5_waybel11(A) => v4_waybel11(B) ) ) ) )).
fof(t11_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => k1_waybel11(A,B) = k1_yellow_0(A,a_2_0_waybel33(A,B)) ) ) )).
fof(t11_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v18_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(B),k1_waybel34(B,A,k2_waybel34(B,A,C)),C) ) ) ) )).
fof(t11_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_waybel35(C,A,B) => ( v2_waybel35(C,A,B) => r2_tarski(k3_yellow_0(A),C) ) ) ) ) )).
fof(t11_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v10_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,D,E) => r1_orders_2(A,k2_waybel_0(A,B,C),k2_waybel_0(A,B,E)) ) ) ) ) ) ) ) )).
fof(t11_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) <=> ( v5_orders_3(D,B,A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r4_waybel_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k8_relset_1(u1_struct_0(B),u1_struct_0(A),D,k5_waybel_0(A,E))) ) ) ) ) ) ) ) )).
fof(t11_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( v24_waybel_0(k3_yellow_3(A,B)) => ( v24_waybel_0(A) & v24_waybel_0(B) ) ) ) ) )).
fof(t11_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_tarski(k1_waybel_3(A,B),k5_waybel_0(A,B)) & r1_tarski(k2_waybel_3(A,B),k6_waybel_0(A,B)) ) ) ) )).
fof(t11_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k3_waybel_4(A))))) ) => ( v5_waybel_4(k1_setfam_1(B),A) & m1_subset_1(k1_setfam_1(B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(t11_waybel_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => ( ( k9_xtuple_0(B) = k9_xtuple_0(C) & ! [D] : ( r2_hidden(D,k9_xtuple_0(B)) => k4_yellow_2(A,k1_funct_1(B,D)) = k4_yellow_2(A,k1_funct_1(C,D)) ) ) => r1_funct_2(k9_xtuple_0(B),u1_struct_0(A),k9_xtuple_0(C),u1_struct_0(A),k4_waybel_5(A,B),k4_waybel_5(A,C)) ) ) ) ) )).
fof(t11_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_waybel_6(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( B = k2_yellow_0(A,C) => r2_tarski(B,C) ) ) ) ) ) )).
fof(t11_waybel_7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v13_waybel_0(B,k2_yellow_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) => ( v2_waybel_0(B,k2_yellow_1(A)) <=> ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_tarski(C,B) => r2_tarski(k8_setfam_1(A,C),B) ) ) ) ) )).
fof(t11_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ~ ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & ~ v2_struct_0(A) & v2_struct_0(B) ) ) ) )).
fof(t11_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => g1_orders_2(u1_struct_0(k7_lattice3(A)),u1_orders_2(k7_lattice3(A))) = g1_orders_2(u1_struct_0(k3_waybel_9(A)),u1_orders_2(k3_waybel_9(A))) ) )).
fof(t11_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => m1_eqrel_1(a_2_1_weddwitt(A,B),u1_struct_0(A)) ) ) )).
fof(t11_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( v2_compts_1(A,k3_topmetr) => v5_xxreal_2(k1_weierstr(A)) ) ) )).
fof(t11_wellfnd1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_wellfnd1(A) <=> ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) & r1_wellfnd1(A,B,C,D) ) ) ) ) ) )).
fof(t11_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k2_wellord1(B,A) = k6_relat_1(A,k5_relat_1(B,A)) ) )).
fof(t11_wellord2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r4_wellord1(A,k1_wellord2(B)) & r4_wellord1(A,k1_wellord2(C)) ) => B = C ) ) ) ) )).
fof(t11_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( r1_int_2(C,D) => r1_int_2(k1_newton(C,A),k1_newton(D,B)) ) ) ) ) ) )).
fof(t11_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(k2_xboole_0(A,B),C) => r1_tarski(A,C) ) )).
fof(t11_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(A,k5_xboolean(k3_xboolean(A),B)) = k4_xboolean(A,B) ) ) )).
fof(t11_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(2,A) = k2_xcmplx_0(A,A) ) )).
fof(t11_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,k6_xcmplx_0(B,C)) => r1_xxreal_0(C,k6_xcmplx_0(B,A)) ) ) ) ) )).
fof(t11_xtuple_0,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k12_xtuple_0(A),k12_xtuple_0(B)) ) )).
fof(t11_xxreal_0,axiom,( ~ r2_hidden(k2_xxreal_0,k1_numbers) )).
fof(t11_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( r2_tarski(A,k3_xxreal_1(B,C)) & ~ ( r2_tarski(A,k2_xxreal_1(B,C)) & A != B ) & A != C ) ) ) )).
fof(t11_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => k1_xxreal_2(k1_tarski(A)) = A ) )).
fof(t11_xxreal_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( k1_xxreal_3(A,B) = k1_xxreal_3(A,C) => B = C ) ) ) ) )).
fof(t11_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( r2_yellow_0(k3_yellow_3(A,B),k7_domain_1(u1_struct_0(k3_yellow_3(A,B)),C,D)) <=> ( r2_yellow_0(A,k7_domain_1(u1_struct_0(A),k8_yellow_3(A,B,C),k8_yellow_3(A,B,D))) & r2_yellow_0(B,k7_domain_1(u1_struct_0(B),k9_yellow_3(A,B,C),k9_yellow_3(A,B,D))) ) ) ) ) ) ) )).
fof(t11_yellow11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_yellow11(A) <=> ! [B] : ( ( v4_yellow_0(B,A) & v5_yellow_0(B,A) & v6_yellow_0(B,A) & m1_yellow_0(B,A) ) => ~ r5_waybel_1(k1_yellow11,B) ) ) ) )).
fof(t11_yellow12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & C = E & D = F ) => k4_yellow_4(A,C,D) = k3_yellow_4(B,E,F) ) ) ) ) ) ) ) )).
fof(t11_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r3_waybel_0(A,A,k4_waybel_1(A,B),C) ) ) ) )).
fof(t11_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ( r5_waybel_1(A,B) & v2_lattice3(A) ) => v2_lattice3(B) ) ) ) )).
fof(t11_yellow15,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m2_finseq_1(D,k5_margrel1) => k3_finseq_1(k1_yellow15(A,k2_finseq_4(k1_zfmisc_1(A),B,C),D)) = 2 ) ) ) )).
fof(t11_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_yellow16(A,B,C) => k10_xtuple_0(C) = u1_struct_0(A) ) ) ) ) )).
fof(t11_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel18(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_waybel18(A,B))) => r2_tarski(k1_funct_7(E,C,D),k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(D))) ) ) ) ) ) )).
fof(t11_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & l2_altcat_1(B) ) => ( ( r2_yellow18(A,B) & v11_altcat_1(A) ) => v11_altcat_1(B) ) ) ) )).
fof(t11_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_waybel_9(A,B,C) <=> r1_waybel_7(A,k2_yellow19(A,B),C) ) ) ) ) )).
fof(t11_yellow20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & l2_altcat_1(B) ) => ( r1_yellow20(A,B) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,E) != k1_xboole_0 & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & k1_altcat_1(B,F,G) != k1_xboole_0 & k1_altcat_1(B,G,H) != k1_xboole_0 & F = C & G = D & H = E & ? [I] : ( m1_subset_1(I,k1_altcat_1(A,C,D)) & ? [J] : ( m1_subset_1(J,k1_altcat_1(B,F,G)) & J = I & ? [K] : ( m1_subset_1(K,k1_altcat_1(A,D,E)) & ? [L] : ( m1_subset_1(L,k1_altcat_1(B,G,H)) & L = K & k5_altcat_1(A,C,D,E,I,K) != k5_altcat_1(B,F,G,H,J,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t11_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ( v2_wellord1(u1_orders_2(A)) => v2_waybel_8(A) ) ) )).
fof(t11_yellow_0,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_lattice3(A,B,C) & r1_orders_2(A,C,D) ) => r2_lattice3(A,B,D) ) ) ) ) )).
fof(t11_yellow_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k2_xboole_0(B,C),A) ) => v1_lattice3(k1_yellow_1(A)) ) ) )).
fof(t11_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => v5_orders_3(k3_struct_0(A),A,A) ) )).
fof(t11_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r1_orders_2(A,C,D) & r1_orders_2(B,E,F) ) <=> r1_orders_2(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t11_yellow_4,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_yellow_4(A,B,k2_yellow_4(A,B,C)) ) ) ) )).
fof(t11_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r6_waybel_1(A,B,C) <=> C = k7_waybel_1(A,B) ) ) ) ) )).
fof(t11_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_waybel_0(B,A) => ! [C] : ( m1_yellow_6(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( ( D = F & E = G & r1_orders_2(C,F,G) ) => r1_orders_2(B,D,E) ) ) ) ) ) ) ) ) )).
fof(t11_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( r1_yellow_0(k7_lattice3(A),B) <=> r2_yellow_0(A,B) ) ) )).
fof(t11_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_cantor_1(B,A) & v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_tops_1(A,C) = k3_tarski(a_3_1_yellow_8(A,B,C)) ) ) ) )).
fof(t11_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( C = k1_tarski(B) => ( k2_cantor_1(A,C) = k2_tarski(B,A) & k1_cantor_1(A,C) = k2_tarski(B,k1_xboole_0) ) ) ) )).
fof(t11_zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( r2_zf_model(A,k6_zf_model) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,B) <=> r2_tarski(D,C) ) ) => B = C ) ) ) ) ) )).
fof(t11_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ( ( v8_zf_fund1(D,A) & r2_tarski(E,F) & r2_tarski(B,D) & r2_tarski(C,D) & r1_tarski(C,k1_funct_2(F,B)) ) => r2_tarski(a_5_0_zf_fund1(A,B,C,E,F),D) ) ) ) ) ) ) ) )).
fof(t11_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v7_zf_lang(A) => k3_finseq_1(A) = 3 ) ) )).
fof(t11_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v6_zf_lang(k13_zf_lang(B,C,A)) & k22_zf_lang(k13_zf_lang(B,C,A)) = B & k23_zf_lang(k13_zf_lang(B,C,A)) = k7_zf_lang(C,A) ) ) ) ) )).
fof(t11_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ( v6_zf_lang(A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ( r2_tarski(C,k5_zf_model(k23_zf_lang(A),B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,B))) ) => ( ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( k3_funct_2(k1_zf_lang,B,D,E) != k3_funct_2(k1_zf_lang,B,C,E) => k22_zf_lang(A) = E ) ) => r2_tarski(D,k5_zf_model(k23_zf_lang(A),B)) ) ) ) <=> r2_tarski(C,k5_zf_model(A,B)) ) ) ) ) ) )).
fof(t11_zf_refle,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( v1_ordinal1(k3_card_3(k6_relat_1(A,B))) & v2_ordinal1(k3_card_3(k6_relat_1(A,B))) ) ) )).
fof(t11_zfmisc_1,axiom,( ! [A] : ! [B] : ( A != B => r1_xboole_0(k1_tarski(A),k1_tarski(B)) ) )).
fof(t11_zfmodel1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( ( r1_xboole_0(k2_tarski(A,B),k2_zf_model(C)) & r1_zf_model(D,E,C) ) => r1_zf_model(D,E,k13_zf_lang(A,B,C)) ) ) ) ) ) ) )).
fof(t11_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( r1_tarski(k2_zf_model(B),k2_tarski(k2_zf_lang(3),k2_zf_lang(4))) & r2_zf_model(A,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) ) => r2_funct_2(A,A,k1_zfmodel1(B,A,C),k2_zfmodel1(B,A)) ) ) ) ) )).
fof(t11_zfrefle1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_classes2(B) ) => ( ( r2_tarski(k9_xtuple_0(A),B) & r1_tarski(k10_xtuple_0(A),B) ) => r2_tarski(k10_xtuple_0(A),B) ) ) ) )).
fof(t11_zmodul01,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_zmodul01(C) & v3_zmodul01(C) & v4_zmodul01(C) & v5_zmodul01(C) & l1_zmodul01(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( ( v6_zmodul01(C) & k1_zmodul01(C,D,A) = k1_zmodul01(C,D,B) ) => ( D = k4_struct_0(C) | A = B ) ) ) ) ) ) )).
fof(t11_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => m2_zmodul02(k19_zmodul02(A),A,B) ) ) )).
fof(t11_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul02(C,A) => ( r1_tarski(k18_zmodul02(A,C),u1_struct_0(B)) => ! [D] : ( m1_zmodul02(D,B) => ( D = k2_partfun1(u1_struct_0(A),k4_numbers,C,u1_struct_0(B)) => ( k18_zmodul02(A,C) = k18_zmodul02(B,D) & k21_zmodul02(A,C) = k21_zmodul02(B,D) ) ) ) ) ) ) ) )).
fof(t11_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) => ( ( v6_zmodul01(A) & C = k7_relset_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),B) & v1_zmodul02(B,A) ) => v1_vectsp_7(C,k11_gaussint,k5_zmodul04(A)) ) ) ) ) )).
fof(t11_zmodul05,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( v1_int_1(C) => ( ( k3_finseq_1(A) = k2_xcmplx_0(k3_finseq_1(B),1) & r2_relset_1(k4_ordinal1,k4_numbers,B,k2_partfun1(k4_ordinal1,k4_numbers,A,k4_finseq_1(B))) & C = k1_funct_1(A,k3_finseq_1(A)) ) => k1_gr_cy_1(A) = k2_xcmplx_0(k1_gr_cy_1(B),C) ) ) ) ) )).
fof(t11_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => ~ ( ~ v1_zmodul06(B,A) & C != k5_numbers & v1_zmodul06(k1_zmodul01(A,B,C),A) ) ) ) ) )).
fof(t120_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ( v13_abcmiz_1(B,A) => ( k52_abcmiz_1(k5_msafree(A,B)) = k2_zfmisc_1(u4_struct_0(A),k1_tarski(u1_struct_0(A))) & k51_abcmiz_1(k5_msafree(A,B)) = k3_card_3(k3_msafree(u1_struct_0(A),B)) ) ) ) ) )).
fof(t120_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) ) => k3_absred_0(A,k3_absred_0(A,B)) = k3_absred_0(A,B) ) ) ) )).
fof(t120_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(k16_aofa_l00(A,E,F,H,I),G) ) => r2_tarski(k16_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t120_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,D,E)),k9_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,E))) ) ) ) ) ) )).
fof(t120_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v9_clvect_1(B,A) & v9_clvect_1(C,A) ) => k7_clvect_1(A,k2_normsp_1(A,B,C)) = k5_algstr_0(A,k7_clvect_1(A,B),k7_clvect_1(A,C)) ) ) ) ) )).
fof(t120_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) ) => ! [F] : ( ( v3_card_1(F,A) & m2_finseq_1(F,B) ) => ! [G] : ( ( v3_card_1(G,A) & m2_finseq_1(G,C) ) => m2_finseq_2(k3_funcop_1(E,F,G),D,k4_finseq_2(A,D)) ) ) ) ) ) ) ) )).
fof(t120_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( k1_relset_1(k4_ordinal1,k4_finseqop(A,B,C,D)) = k1_relset_1(k4_ordinal1,C) & k3_finseq_1(k4_finseqop(A,B,C,D)) = k3_finseq_1(C) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k1_relset_1(k4_ordinal1,k4_finseqop(A,B,C,D))) => k1_funct_1(k4_finseqop(A,B,C,D),E) = k1_funct_1(D,k1_funct_1(C,E)) ) ) ) ) ) ) ) )).
fof(t120_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k3_finseq_6(A,B,1,k3_finseq_1(B)) = B ) ) ) )).
fof(t120_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ( r1_partfun1(E,F) => ( v1_funct_1(k9_subset_1(k2_zfmisc_1(C,D),E,F)) & v1_funct_2(k9_subset_1(k2_zfmisc_1(C,D),E,F),k3_xboole_0(A,C),k3_xboole_0(B,D)) & m1_subset_1(k9_subset_1(k2_zfmisc_1(C,D),E,F),k1_zfmisc_1(k2_zfmisc_1(k3_xboole_0(A,C),k3_xboole_0(B,D)))) ) ) ) ) )).
fof(t120_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) => k6_subset_1(A,B) = A ) ) ) )).
fof(t120_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => k1_funct_1(k10_funct_7(A,B),C) = B ) ) )).
fof(t120_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(A,u1_struct_0(k46_gfacirc1(A,B,C))) & r2_tarski(B,u1_struct_0(k46_gfacirc1(A,B,C))) & r2_tarski(C,u1_struct_0(k46_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),u1_struct_0(k46_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),C),k1_facirc_1),u1_struct_0(k46_gfacirc1(A,B,C))) ) )).
fof(t120_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v1_glib_001(B,A) <=> v1_glib_001(k6_glib_001(A,B),A) ) ) ) )).
fof(t120_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => ( k14_group_2(A,D,B) = k14_group_2(A,D,C) <=> r1_struct_0(D,k6_algstr_0(A,C,k2_group_1(A,B))) ) ) ) ) ) )).
fof(t120_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k11_group_2(A,B,C) = k12_group_2(A,B,C) ) ) ) ) )).
fof(t120_group_9,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( A = k6_relat_1(k10_xtuple_0(A),B) <=> k2_relat_1(A) = k5_relat_1(k2_relat_1(B),k9_xtuple_0(k2_relat_1(A))) ) ) ) )).
fof(t120_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & C = a_0_3_jgraph_4 & B = a_1_12_jgraph_4(A) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),C)) ) ) ) ) ) ) )).
fof(t120_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k17_euclid(B) = F & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(G,k18_euclid(D)) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t120_jordan2c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v9_rltopsp1(k7_topreal1(A),k15_euclid(2)) ) )).
fof(t120_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ( ( r1_tarski(D,k2_finseq_1(A)) & v2_funct_1(E) ) => v2_funct_1(k6_matrix13(u1_struct_0(C),E,D,k2_finseq_1(B))) ) ) ) ) ) ) )).
fof(t120_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k15_member_1(A,k5_member_1(B)) = k5_member_1(k15_member_1(A,B)) ) ) )).
fof(t120_msafree5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) & v6_msafree5(D) ) => ! [E] : ( m1_msafree4(E,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( v1_finset_1(H) => ~ ( r2_tarski(A,k4_finseq_1(E)) & F = k7_partfun1(u1_struct_0(B),k1_msualg_1(B,C),A) & ! [I] : ( m1_msafree4(I,u1_struct_0(B),D,k1_msafree4(u1_struct_0(B),D,F)) => ! [J] : ( ( v8_msafree5(J,B,D,k1_msafree3(B,D),F,I) & m1_subset_1(J,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ! [K] : ( m1_msafree4(K,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,D))),k3_msualg_1(B,C,k1_msafree3(B,D))) => ~ ( ~ r2_hidden(I,H) & K = k1_funct_7(E,A,k6_msafree5(B,D,F,I)) & v11_msafree5(K,B,C,F,D,I) & k17_msafree5(B,C,F,D,I,K) = k6_msafree5(B,D,F,I) & J = k7_msafree5(B,D,C,K) & A = k16_msafree5(B,C,F,D,I,K) & k24_msafree5(B,D,F,I,J) = k4_msualg_6(B,C,A,k1_msafree3(B,D),E) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t120_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r17_ncfcont1(A,B,C) => r11_ncfcont1(A,C,B) ) ) ) )).
fof(t120_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r7_pboole(A,B,C) & r7_pboole(A,C,D) ) => r7_pboole(A,B,D) ) ) ) ) )).
fof(t120_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k7_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) ) )).
fof(t120_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) ) => k22_rvsum_1(k4_rvsum_1(A,B),C) = k2_xcmplx_0(k22_rvsum_1(A,C),k22_rvsum_1(B,C)) ) ) ) ) )).
fof(t120_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) & r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => k6_scmpds_4(k10_scmpds_6(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) = k1_funct_4(k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k4_card_1(C),2))) ) ) ) ) ) ) )).
fof(t120_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v1_finset_1(B) & v4_scmyciel(B) & k11_scmyciel(B) = 2 & ~ r1_xxreal_0(k9_scmyciel(B),A) ) ) )).
fof(t120_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k2_numbers,k12_seq_4(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) => ( r2_tarski(C,D) => ( r1_xxreal_0(B,k5_numbers) | r2_tarski(C,k23_seq_4(A,D,B)) ) ) ) ) ) ) )).
fof(t120_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B)) = k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,B)) ) ) ) )).
fof(t120_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k22_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k22_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k2_sin_cos9,B)),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t120_sincos10,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(k3_square_1(2),A) & k1_funct_1(k1_fdiff_9,k8_sincos10(A)) != k7_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1))) ) ) )).
fof(t120_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_pre_topc(E,A) ) => ( ( A = k1_tsep_1(A,D,E) & r4_tsep_1(A,D,E) ) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) <=> ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,D),D,B) & m1_subset_1(k2_tmap_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) & v1_funct_1(k2_tmap_1(A,B,C,E)) & v1_funct_2(k2_tmap_1(A,B,C,E),u1_struct_0(E),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,E),E,B) & m1_subset_1(k2_tmap_1(A,B,C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t120_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( ( k6_xboolean(A,B) = k2_xboolean & k6_xboolean(A,k3_xboolean(B)) = k2_xboolean ) => k3_xboolean(A) = k2_xboolean ) ) ) )).
fof(t120_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C)) = k7_xcmplx_0(k6_xcmplx_0(A,B),C) ) ) ) )).
fof(t120_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(A,B) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k7_xcmplx_0(C,A),k7_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t120_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k4_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t120_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k6_zf_lang(k10_zf_lang(A,B),k10_zf_lang(A,k5_zf_lang(B))),k5_zf_lang(A))) & r2_zf_model(C,k10_zf_lang(k6_zf_lang(k10_zf_lang(A,B),k10_zf_lang(A,k5_zf_lang(B))),k5_zf_lang(A))) ) ) ) ) ) )).
fof(t120_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( ~ r2_hidden(A,C) & ~ r2_hidden(B,C) & C != k4_xboole_0(C,k2_tarski(A,B)) ) )).
fof(t120_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,A) ) => ( m1_zmodul01(B,C) => m1_zmodul01(k6_zmodul01(A,B,D),k6_zmodul01(A,C,D)) ) ) ) ) ) )).
fof(t121_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ( ( r2_pboole(u1_struct_0(A),B,C) & v13_abcmiz_1(B,A) ) => ( r1_tarski(k51_abcmiz_1(k5_msafree(A,B)),k51_abcmiz_1(k5_msafree(A,C))) & r1_relset_1(u1_struct_0(k5_msafree(A,B)),k3_finseq_2(u1_struct_0(k5_msafree(A,B))),u1_lang1(k5_msafree(A,B)),u1_lang1(k5_msafree(A,C))) & r1_tarski(k4_dtconstr(k5_msafree(A,B)),k4_dtconstr(k5_msafree(A,C))) ) ) ) ) ) )).
fof(t121_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) & r3_absred_0(A,B,C) ) => k3_absred_0(A,B) = k3_absred_0(A,C) ) ) ) ) )).
fof(t121_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => r2_tarski(k16_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),I),k12_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I))),G) ) ) ) ) ) ) ) ) ) )).
fof(t121_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,B,D)),k9_bvfunc_1(A,B,k2_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t121_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v9_clvect_1(C,A) => k7_clvect_1(A,k3_normsp_1(A,C,B)) = k5_algstr_0(A,k7_clvect_1(A,C),B) ) ) ) ) )).
fof(t121_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r2_relset_1(k3_finseq_2(A),k3_finseq_2(A),k3_finseq_3(A,k6_partfun1(A)),k6_partfun1(k3_finseq_2(A))) ) )).
fof(t121_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k3_finseq_6(A,B,k3_finseq_1(B),1) = k4_finseq_5(A,B) ) ) ) )).
fof(t121_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => m1_funct_2(k1_tarski(C),A,B) ) )).
fof(t121_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) => k1_funct_4(k6_subset_1(A,B),C) = k6_subset_1(k1_funct_4(A,C),B) ) ) ) ) )).
fof(t121_funct_7,axiom,( ! [A] : ! [B] : ! [C] : k9_xtuple_0(k12_funct_7(A,B,C)) = k4_ordinal1 )).
fof(t121_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),k3_msafree2(k46_gfacirc1(A,B,C))) & r2_tarski(k48_gfacirc1(A,B,C),k3_msafree2(k46_gfacirc1(A,B,C))) ) )).
fof(t121_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( ( C = D & v1_glib_001(C,A) ) => v1_glib_001(D,B) ) ) ) ) ) )).
fof(t121_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => ( k14_group_2(A,D,B) = k14_group_2(A,D,C) <=> ~ r1_xboole_0(k14_group_2(A,D,B),k14_group_2(A,D,C)) ) ) ) ) ) )).
fof(t121_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => m1_group_2(B,k6_group_3(A,B,C)) ) ) ) ) )).
fof(t121_group_9,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k3_relat_1(B,k5_relat_1(C,A)) = k3_relat_1(k6_relat_1(A,B),C) ) ) )).
fof(t121_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & C = a_0_3_jgraph_4 & B = a_1_13_jgraph_4(A) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),C)) ) ) ) ) ) ) )).
fof(t121_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k17_euclid(B) = F & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(G,k18_euclid(D)) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t121_jordan2c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v9_rltopsp1(k5_topreal1(A),k15_euclid(2)) ) )).
fof(t121_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ( ( v1_vectsp_7(k9_matrix13(C,A,B,D),C,k6_prvect_1(C,B)) & v2_funct_1(D) ) <=> k8_matrix13(C,D) = A ) ) ) ) ) )).
fof(t121_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k15_member_1(k5_member_1(A),B) = k5_member_1(k15_member_1(A,B)) ) ) )).
fof(t121_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(B),D,k1_msafree4(u1_struct_0(B),D,C)) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) => ! [G] : ( ( v8_msafree5(G,B,D,k1_msafree3(B,D),C,E) & m1_subset_1(G,k3_card_3(u3_msualg_1(B,k1_msafree3(B,D)))) ) => ( ( v5_msafree5(D) & k3_msafree5(B,k1_msafree3(B,D),F) = C ) => r1_ordinal1(k4_card_1(k10_relat_1(F,A)),k4_card_1(k10_relat_1(k18_msafree5(B,D,C,E,G,F),A))) ) ) ) ) ) ) ) )).
fof(t121_pboole,axiom,( r1_pboole(k1_xboole_0,k1_pboole(k1_xboole_0),k1_pboole(k1_xboole_0)) )).
fof(t121_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => r1_tarski(k7_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B))) ) )).
fof(t121_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( v1_xreal_0(C) => ( k3_finseq_1(A) = k3_finseq_1(B) => k22_rvsum_1(k10_rvsum_1(A,C),B) = k3_xcmplx_0(C,k22_rvsum_1(A,B)) ) ) ) ) )).
fof(t121_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) => k6_scmpds_4(k10_scmpds_6(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) = k1_funct_4(B,k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k4_card_1(C),2))) ) ) ) ) ) ) )).
fof(t121_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( ~ r1_xxreal_0(B,k5_numbers) => r1_tarski(C,k23_seq_4(A,C,B)) ) ) ) ) )).
fof(t121_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,B)) ) ) ) )).
fof(t121_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k1_partfun2(k1_numbers,A)))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k1_partfun2(k1_numbers,A)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k1_partfun2(k1_numbers,A)),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_square_1(B),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t121_sincos10,axiom,( r2_fdiff_1(k1_sincos10,k7_relset_1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t121_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v1_borsuk_1(E,A) & m1_pre_topc(E,A) ) => ( A = k1_tsep_1(A,D,E) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) <=> ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,D),D,B) & m1_subset_1(k2_tmap_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) & v1_funct_1(k2_tmap_1(A,B,C,E)) & v1_funct_2(k2_tmap_1(A,B,C,E),u1_struct_0(E),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,E),E,B) & m1_subset_1(k2_tmap_1(A,B,C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t121_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k6_xboolean(k6_xboolean(A,B),k6_xboolean(k3_xboolean(k4_xboolean(B,C)),k3_xboolean(k4_xboolean(A,C)))) = k2_xboolean ) ) ) )).
fof(t121_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k6_xcmplx_0(A,k7_xcmplx_0(A,2)) = k7_xcmplx_0(A,2) ) )).
fof(t121_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & r1_xxreal_0(C,D) & r1_tarski(k1_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t121_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ( ( r2_zf_model(C,k10_zf_lang(A,B)) & r2_zf_model(C,A) ) => r2_zf_model(C,B) ) ) ) ) )).
fof(t121_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( ~ r2_hidden(A,C) & ~ r2_hidden(B,C) & C != k4_xboole_0(k2_xboole_0(C,k2_tarski(A,B)),k2_tarski(A,B)) ) )).
fof(t121_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( ~ ( ? [D] : ( m1_zmodul01(D,A) & u1_struct_0(D) = k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) & ~ m1_zmodul01(B,C) & ~ m1_zmodul01(C,B) ) & ~ ( ( m1_zmodul01(B,C) | m1_zmodul01(C,B) ) & ! [D] : ( m1_zmodul01(D,A) => u1_struct_0(D) != k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) ) ) ) ) ) )).
fof(t122_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( r2_tarski(B,k51_abcmiz_1(k5_msafree(A,k28_abcmiz_1(A)))) <=> ? [C] : ( m1_subset_1(C,k2_abcmiz_1) & B = k1_domain_1(k2_abcmiz_1,u1_struct_0(A),C,k14_abcmiz_1(A)) ) ) ) )).
fof(t122_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) & r7_absred_0(A,B,C) ) => k3_absred_0(A,B) = k3_absred_0(A,C) ) ) ) ) )).
fof(t122_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( r2_tarski(J,k1_msafree4(u1_struct_0(B),D,K)) => ( r2_hidden(J,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),I),K)) | r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),k15_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),I)),G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t122_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)) ) ) ) ) )).
fof(t122_clvect_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( v9_clvect_1(C,B) => k7_clvect_1(B,k6_clvect_1(B,C,A)) = k1_clvect_1(B,k7_clvect_1(B,C),A) ) ) ) ) )).
fof(t122_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m2_finseq_1(C,k8_eqrel_1(A,B)) => ? [D] : ( m2_finseq_1(D,A) & r1_finseq_3(A,B,C,D) ) ) ) ) )).
fof(t122_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & r1_xxreal_0(1,E) ) => ( ( ~ r1_xxreal_0(E,k1_nat_1(k7_nat_d(D,C),1)) & ~ r1_xxreal_0(E,k2_xcmplx_0(k6_xcmplx_0(D,C),1)) & ~ r1_xxreal_0(E,k6_xcmplx_0(k1_nat_1(D,1),C)) ) | ( k1_funct_1(k3_finseq_6(A,B,C,D),E) = k1_funct_1(B,k7_nat_d(k2_xcmplx_0(E,C),1)) & k1_funct_1(k3_finseq_6(A,B,C,D),E) = k1_funct_1(B,k2_xcmplx_0(k7_nat_d(E,1),C)) & k1_funct_1(k3_finseq_6(A,B,C,D),E) = k1_funct_1(B,k6_xcmplx_0(k2_xcmplx_0(E,C),1)) & k1_funct_1(k3_finseq_6(A,B,C,D),E) = k1_funct_1(B,k2_xcmplx_0(k6_xcmplx_0(E,1),C)) ) ) ) ) ) ) ) ) )).
fof(t122_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => m1_funct_2(k1_funct_2(A,B),A,B) ) )).
fof(t122_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r1_tarski(A,C) & r1_tarski(B,D) & r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(D)) ) => r1_tarski(k1_funct_4(A,B),k1_funct_4(C,D)) ) ) ) ) ) )).
fof(t122_funct_7,axiom,( ! [A] : ! [B] : ! [C] : k1_funct_1(k12_funct_7(A,B,C),k5_numbers) = A )).
fof(t122_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) => ( r2_tarski(A,k2_msafree2(k46_gfacirc1(A,B,C))) & r2_tarski(B,k2_msafree2(k46_gfacirc1(A,B,C))) & r2_tarski(C,k2_msafree2(k46_gfacirc1(A,B,C))) ) ) )).
fof(t122_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v2_glib_001(B,A) <=> ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => r2_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,2)),k1_funct_1(B,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(t122_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => r1_tarski(k5_group_2(A,C,k14_group_2(A,D,B)),k2_group_2(A,k14_group_2(A,D,B),k14_group_2(A,D,C))) ) ) ) ) )).
fof(t122_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => m1_group_2(k6_group_3(A,B,C),B) ) ) ) ) )).
fof(t122_group_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k2_finseq_1(A)) & r1_tarski(B,k1_relset_1(k1_numbers,C)) & v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,B)) & r1_tarski(k7_relset_1(k1_numbers,k1_numbers,C,B),k6_subset_1(k4_ordinal1,k1_tarski(k5_numbers))) ) => k14_finseq_1(k7_relset_1(k1_numbers,k1_numbers,C,B)) = k1_partfun1(k4_ordinal1,k4_ordinal1,k1_numbers,k1_numbers,k14_finseq_1(B),C) ) ) ) )).
fof(t122_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_14_jgraph_4(A) => v4_pre_topc(B,k15_euclid(2)) ) ) ) )).
fof(t122_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k17_euclid(B) = F & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(G,k18_euclid(C)) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t122_jordan2c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v9_rltopsp1(k4_topreal1(A),k15_euclid(2)) ) )).
fof(t122_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_prvect_1(C,B)))) => ~ ( r1_tarski(E,k9_matrix13(C,A,B,D)) & ! [F] : ( ( v1_finset_1(F) & v1_setfam_1(F) & m1_subset_1(F,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(F,k2_finseq_1(A)) & k9_matrix13(C,k4_card_1(F),k4_card_1(k2_finseq_1(B)),k6_matrix13(u1_struct_0(C),D,F,k2_finseq_1(B))) = E & v2_funct_1(k6_matrix13(u1_struct_0(C),D,F,k2_finseq_1(B))) ) ) ) ) ) ) ) ) )).
fof(t122_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => r1_tarski(k15_member_1(k9_member_1(A,B),C),k9_member_1(k15_member_1(A,C),k15_member_1(B,C))) ) ) ) )).
fof(t122_msafree5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( ( v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v1_partfun1(E,u1_struct_0(B)) ) => ! [F] : ( m1_msafree4(F,u1_struct_0(B),E,k1_msafree4(u1_struct_0(B),E,C)) => ! [G] : ( m1_msafree4(G,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,k1_msafree3(B,E))),k3_msualg_1(B,D,k1_msafree3(B,E))) => ( ( v11_msafree5(G,B,D,C,E,F) & r2_tarski(A,k4_finseq_1(G)) ) => ( ~ v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(B,k1_msafree3(B,E))),G,A),B,E,k1_msafree3(B,E),C,F) <=> v8_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(B,k1_msafree3(B,E))),G,A),B,E,k1_msafree3(B,E),C,F) ) ) ) ) ) ) ) ) ) )).
fof(t122_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & k2_relset_1(u1_struct_0(B),C) = k1_tarski(D) ) => r7_ncfcont1(A,B,C,k1_relset_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(t122_pboole,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k1_xboole_0) & v1_funct_1(A) & v1_partfun1(A,k1_xboole_0) ) => A = k1_xboole_0 ) )).
fof(t122_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => r1_tarski(k6_subset_1(k7_relat_1(C,A),k7_relat_1(C,B)),k7_relat_1(C,k6_subset_1(A,B))) ) )).
fof(t122_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k22_rvsum_1(k6_rvsum_1(A),B) = k4_xcmplx_0(k22_rvsum_1(A,B)) ) ) ) )).
fof(t122_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k10_scmpds_6(D,E,C),B,A)) = k1_nat_1(k4_card_1(C),2) ) ) ) ) ) )).
fof(t122_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( C != k1_xboole_0 => v1_seq_4(k23_seq_4(A,C,B),A) ) ) ) ) )).
fof(t122_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,B),B) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,C)),k5_sheffer1(A,B,k5_sheffer1(A,C,C))),k5_sheffer1(A,C,B)) ) ) ) )).
fof(t122_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k2_sin_cos9),k1_partfun2(k1_numbers,A)))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k2_sin_cos9),k1_partfun2(k1_numbers,A)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k2_sin_cos9),k1_partfun2(k1_numbers,A)),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_square_1(B),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t122_sincos10,axiom,( r2_fdiff_1(k2_sincos10,k7_relset_1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(t122_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v1_tsep_1(E,A) & m1_pre_topc(E,A) ) => ( A = k1_tsep_1(A,D,E) => ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) <=> ( v1_funct_1(k2_tmap_1(A,B,C,D)) & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,D),D,B) & m1_subset_1(k2_tmap_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) & v1_funct_1(k2_tmap_1(A,B,C,E)) & v1_funct_2(k2_tmap_1(A,B,C,E),u1_struct_0(E),u1_struct_0(B)) & v5_pre_topc(k2_tmap_1(A,B,C,E),E,B) & m1_subset_1(k2_tmap_1(A,B,C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t122_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k5_xboolean(A,k6_xboolean(A,B)) = k2_xboolean ) ) )).
fof(t122_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(A,B),C),D) = k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(A,D),k7_xcmplx_0(B,D)),k7_xcmplx_0(C,D)) ) ) ) ) )).
fof(t122_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_xcmplx_0(A),k5_numbers) ) & ~ ( ~ r1_xxreal_0(k5_xcmplx_0(A),k5_numbers) & r1_xxreal_0(A,k5_numbers) ) ) ) )).
fof(t122_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k2_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t122_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k5_zf_lang(k6_zf_lang(A,B)),k9_zf_lang(k5_zf_lang(A),k5_zf_lang(B)))) & r2_zf_model(C,k10_zf_lang(k5_zf_lang(k6_zf_lang(A,B)),k9_zf_lang(k5_zf_lang(A),k5_zf_lang(B)))) ) ) ) ) ) )).
fof(t122_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(k4_tarski(A,C),k4_tarski(A,D),k4_tarski(B,C),k4_tarski(B,D)) )).
fof(t122_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_zmodul01(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => r2_tarski(A,k8_zmodul01(A)) ) )).
fof(t123_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( r2_tarski(B,k52_abcmiz_1(k5_msafree(A,k28_abcmiz_1(A)))) <=> ~ ( B != k4_tarski(k33_abcmiz_1(A),u1_struct_0(A)) & B != k4_tarski(k32_abcmiz_1(A),u1_struct_0(A)) & ! [C] : ( ( v2_abcmiz_1(C,A) & m1_subset_1(C,u4_struct_0(A)) ) => B != k4_tarski(C,u1_struct_0(A)) ) ) ) ) )).
fof(t123_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v4_absred_0(A) & v6_absred_0(A) & k3_absred_0(A,B) = k3_absred_0(A,C) ) => r7_absred_0(A,B,C) ) ) ) ) )).
fof(t123_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),k15_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t123_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,D,E)),k9_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,E))) ) ) ) ) ) )).
fof(t123_clvect_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k2_numbers,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,B),B))) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v2_clvect_1(F) & v3_clvect_1(F) & v4_clvect_1(F) & v5_clvect_1(F) & l1_clvect_1(F) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(F))) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => ! [I] : ( m1_subset_1(I,u1_struct_0(g1_clvect_1(B,C,D,E))) => ( ( G = B & E = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(F)),u1_struct_0(F),u1_clvect_1(F),k2_zfmisc_1(k2_numbers,G)) & I = H ) => k1_clvect_1(g1_clvect_1(B,C,D,E),I,A) = k1_clvect_1(F,H,A) ) ) ) ) ) ) ) ) ) ) )).
fof(t123_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : k2_finseq_2(k2_xcmplx_0(A,B),C) = k7_finseq_1(k2_finseq_2(A,C),k2_finseq_2(B,C)) ) ) )).
fof(t123_finseq_3,axiom,( ! [A] : ! [B] : ( r2_hidden(A,k4_card_3(k9_finseq_1(B))) <=> ? [C] : ( r2_hidden(C,B) & A = k9_finseq_1(C) ) ) )).
fof(t123_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => k1_funct_1(k3_finseq_6(A,B,1,C),D) = k1_funct_1(B,D) ) ) ) ) ) )).
fof(t123_funct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) ) => k9_xtuple_0(k3_relat_1(D,C)) = k9_xtuple_0(D) ) ) ) )).
fof(t123_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(A,B) => r1_tarski(k1_funct_4(A,C),k1_funct_4(B,C)) ) ) ) ) )).
fof(t123_funct_7,axiom,( ! [A] : ! [B] : ! [C] : k1_funct_1(k12_funct_7(A,B,C),1) = B )).
fof(t123_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k6_circuit2(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k1_facirc_1)) = k2_binarith(E,F) & k1_funct_1(k6_circuit2(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D),A) = E & k1_funct_1(k6_circuit2(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D),B) = F & k1_funct_1(k6_circuit2(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D),C) = G ) ) ) ) ) ) ) )).
fof(t123_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ! [E] : ! [F] : ( ( v2_glib_001(B,A) & r1_glib_001(A,D,E,B) & r2_glib_000(A,E,F,C) ) => ( v2_glib_001(k10_glib_001(A,B,C),A) & r1_glib_001(A,D,F,k10_glib_001(A,B,C)) ) ) ) ) )).
fof(t123_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( r1_tarski(k8_group_2(A,C),k2_group_2(A,k14_group_2(A,C,B),k14_group_2(A,C,k2_group_1(A,B)))) & r1_tarski(k8_group_2(A,C),k2_group_2(A,k14_group_2(A,C,k2_group_1(A,B)),k14_group_2(A,C,B))) ) ) ) ) )).
fof(t123_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> k9_group_3(A,B) = k1_tarski(B) ) ) ) )).
fof(t123_group_9,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_tarski(A,k2_finseq_1(k1_nat_1(C,1))) & r2_tarski(B,k2_finseq_1(k1_nat_1(C,1))) & ~ r2_tarski(B,A) & ! [D] : ~ ( k14_finseq_1(D) = k3_relat_1(k14_finseq_1(A),k2_funct_1(k14_finseq_1(k7_subset_1(k4_ordinal1,k2_finseq_1(k1_nat_1(C,1)),k1_tarski(B))))) & r1_tarski(D,k2_finseq_1(C)) ) ) ) ) )).
fof(t123_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_15_jgraph_4(A) => v4_pre_topc(B,k15_euclid(2)) ) ) ) )).
fof(t123_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k17_euclid(B) = F & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(G,k18_euclid(C)) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t123_jordan2c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ v9_rltopsp1(k6_topreal1(A),k15_euclid(2)) ) )).
fof(t123_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k8_matrix13(C,D) = E <=> ( ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k6_prvect_1(C,B)))) & v1_vectsp_7(F,C,k6_prvect_1(C,B)) & r1_tarski(F,k9_matrix13(C,A,B,D)) & k4_card_1(F) = E ) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k6_prvect_1(C,B)))) ) => ( ( v1_vectsp_7(F,C,k6_prvect_1(C,B)) & r1_tarski(F,k9_matrix13(C,A,B,D)) ) => r1_xxreal_0(k4_card_1(F),E) ) ) ) ) ) ) ) ) ) )).
fof(t123_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => r1_tarski(k15_member_1(k11_member_1(A,B),C),k11_member_1(k15_member_1(A,C),k15_member_1(B,C))) ) ) ) )).
fof(t123_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,B)) => ! [F] : ( ( v8_msafree5(F,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( v5_msafree5(D) & k3_msafree5(A,k1_msafree3(A,D),F) = C ) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,C)) => ! [H] : ( ( v8_msafree5(H,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ! [I] : ( ( v8_msafree5(I,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( I = k18_msafree5(A,D,C,G,H,F) => ! [J] : ( m1_subset_1(J,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) => ( k3_msafree5(A,k1_msafree3(A,D),J) = B => k18_msafree5(A,D,B,E,I,J) = k18_msafree5(A,D,C,G,H,k18_msafree5(A,D,B,E,F,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t123_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & k2_relset_1(u1_struct_0(B),C) = k1_tarski(D) ) => r8_ncfcont1(A,B,C,k1_relset_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(t123_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ~ ( r4_pboole(A,B,C) & r5_pboole(A,B,C) ) ) ) ) )).
fof(t123_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_tarski(A,B) => r1_tarski(k7_relat_1(C,A),k7_relat_1(C,B)) ) ) )).
fof(t123_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k22_rvsum_1(k6_rvsum_1(A),k6_rvsum_1(B)) = k22_rvsum_1(A,B) ) ) ) )).
fof(t123_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F))) => k1_funct_1(k6_scmpds_4(k10_scmpds_6(D,F,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),E) = k1_funct_1(k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),E) ) ) ) ) ) ) ) )).
fof(t123_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ~ ( A != k1_xboole_0 & B != k1_xboole_0 & k9_member_1(A,B) = k1_xboole_0 ) ) ) )).
fof(t123_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),B) ) ) ) ) )).
fof(t123_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_sin_cos9),A),B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k1_sin_cos9,B)),k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t123_sincos10,axiom,( r2_fdiff_1(k3_sincos10,k7_relset_1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(t123_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r3_tsep_1(A,B,C) <=> ( r1_tsep_1(B,C) & ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)))) ) => ( ( v1_funct_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E)) & v1_funct_2(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E),u1_struct_0(B),u1_struct_0(D)) & v5_pre_topc(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E),B,D) & m1_subset_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) & v1_funct_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E)) & v1_funct_2(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E),u1_struct_0(C),u1_struct_0(D)) & v5_pre_topc(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E),C,D) & m1_subset_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) & v5_pre_topc(E,k1_tsep_1(A,B,C),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)))) ) ) ) ) ) ) ) ) ) )).
fof(t123_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k6_xboolean(A,k5_xboolean(A,B)) = k2_xboolean ) ) )).
fof(t123_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k7_xcmplx_0(A,B) = k7_xcmplx_0(D,C) => ( B = k5_numbers | C = k5_numbers | B = C | k7_xcmplx_0(A,B) = k7_xcmplx_0(k6_xcmplx_0(A,D),k6_xcmplx_0(B,C)) ) ) ) ) ) ) )).
fof(t123_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ ( ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,k5_xcmplx_0(A)) ) & ~ ( ~ r1_xxreal_0(k5_numbers,k5_xcmplx_0(A)) & r1_xxreal_0(k5_numbers,A) ) ) ) )).
fof(t123_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k3_xxreal_1(C,D),k3_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t123_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k9_zf_lang(k5_zf_lang(A),k5_zf_lang(B)),k5_zf_lang(k6_zf_lang(A,B)))) & r2_zf_model(C,k10_zf_lang(k9_zf_lang(k5_zf_lang(A),k5_zf_lang(B)),k5_zf_lang(k6_zf_lang(A,B)))) ) ) ) ) ) )).
fof(t123_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( A != B => k4_xboole_0(k2_xboole_0(C,k1_tarski(A)),k1_tarski(B)) = k2_xboole_0(k4_xboole_0(C,k1_tarski(B)),k1_tarski(A)) ) )).
fof(t123_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( r1_zmodul01(A,B,C) => m3_zmodul01(C,A,B) ) ) ) ) )).
fof(t124_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) => ! [C] : ( r2_tarski(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => m1_dtconstr(C,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) ) ) ) )).
fof(t124_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r10_absred_0(A,B,C) <=> r6_rewrite1(u1_absred_0(A),B,C) ) ) ) ) )).
fof(t124_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),I),k12_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I))),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t124_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,B,D)),k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t124_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,B) & m2_finseq_1(C,A) ) => k4_finseq_1(C) = k1_finseq_1(B) ) ) ) )).
fof(t124_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,k4_card_3(k10_finseq_1(B,C))) <=> ? [D] : ? [E] : ( r2_hidden(D,B) & r2_hidden(E,C) & A = k10_finseq_1(D,E) ) ) )).
fof(t124_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => r1_xxreal_0(k3_finseq_1(k3_finseq_6(A,B,C,D)),k3_finseq_1(B)) ) ) ) ) ) )).
fof(t124_funct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,A,B,C) = C ) => r2_funct_2(A,A,B,k6_partfun1(A)) ) ) ) )).
fof(t124_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_tarski(A,B) & r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(C)) ) => r1_tarski(A,k1_funct_4(B,C)) ) ) ) ) )).
fof(t124_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,1) => k1_funct_1(k12_funct_7(A,B,C),D) = C ) ) )).
fof(t124_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ( ( E = k1_funct_1(D,k4_tarski(k10_finseq_1(A,B),k1_facirc_1)) & F = k1_funct_1(D,A) & G = k1_funct_1(D,B) & H = k1_funct_1(D,C) ) => k1_twoscomp(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),k6_circuit2(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D),k48_gfacirc1(A,B,C)) = k2_binarith(E,H) ) ) ) ) ) ) ) )).
fof(t124_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v2_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => v2_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) )).
fof(t124_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => r1_tarski(k14_group_2(A,C,k5_group_1(A,B,2)),k2_group_2(A,k14_group_2(A,C,B),k14_group_2(A,C,B))) ) ) ) )).
fof(t124_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_struct_0(B,C) => r1_tarski(k7_group_3(A,C),k8_group_2(A,B)) ) ) ) ) ) )).
fof(t124_group_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => B = k2_finseq_3(k1_nat_1(D,1),k5_finseq_5(A,B,C,D)) ) ) ) ) ) )).
fof(t124_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & C = k8_struct_0(k15_euclid(2)) & B = a_0_3_jgraph_4 ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),C)) ) ) ) ) ) ) )).
fof(t124_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k17_euclid(B) = F & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & r1_xxreal_0(G,k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(C),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t124_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),A),k2_jordan2c(2,A)) ) )).
fof(t124_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => k15_member_1(k13_member_1(A,B),C) = k13_member_1(A,k15_member_1(B,C)) ) ) ) )).
fof(t124_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,B)) => ! [F] : ( ( v8_msafree5(F,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( ( v5_msafree5(D) & k3_msafree5(A,k1_msafree3(A,D),F) = C ) => ! [G] : ( m1_msafree4(G,u1_struct_0(A),D,k1_msafree4(u1_struct_0(A),D,C)) => ! [H] : ( ( v8_msafree5(H,A,D,k1_msafree3(A,D),C,G) & m1_subset_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ! [I] : ( ( v8_msafree5(I,A,D,k1_msafree3(A,D),B,E) & m1_subset_1(I,k3_card_3(u3_msualg_1(A,k1_msafree3(A,D)))) ) => ( I = k18_msafree5(A,D,C,G,H,F) => k24_msafree5(A,D,B,E,I) = k1_partfun1(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D)),B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D)),k3_msafree5(A,k1_msafree3(A,D),F)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D)),C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,D)),k3_msafree5(A,k1_msafree3(A,D),H)),k24_msafree5(A,D,B,E,F),k24_msafree5(A,D,C,G,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t124_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k2_relset_1(u1_struct_0(A),C) = k1_tarski(D) ) => r9_ncfcont1(B,A,C,k1_relset_1(u1_struct_0(B),C)) ) ) ) ) )).
fof(t124_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ r3_pboole(A,B,k1_pboole(A)) ) ) )).
fof(t124_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( r1_tarski(B,C) => r1_tarski(k7_relat_1(B,A),k7_relat_1(C,A)) ) ) ) )).
fof(t124_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) ) => k22_rvsum_1(k8_rvsum_1(A,B),C) = k6_xcmplx_0(k22_rvsum_1(A,C),k22_rvsum_1(B,C)) ) ) ) ) )).
fof(t124_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F))) => k1_funct_1(k6_scmpds_4(k10_scmpds_6(D,F,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),E) = k1_funct_1(B,E) ) ) ) ) ) ) ) )).
fof(t124_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( ( v3_xxreal_2(A) & v3_xxreal_2(B) ) => v3_xxreal_2(k9_member_1(A,B)) ) ) ) )).
fof(t124_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) = B ) ) ) ) )).
fof(t124_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_sin_cos9),A),B) = k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k2_sin_cos9,B)),k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t124_sincos10,axiom,( r2_fdiff_1(k4_sincos10,k7_relset_1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t124_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r3_tsep_1(A,B,C) <=> ( r1_tsep_1(B,C) & ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(D)))) ) => ( ( v1_funct_1(k2_tmap_1(A,D,E,B)) & v1_funct_2(k2_tmap_1(A,D,E,B),u1_struct_0(B),u1_struct_0(D)) & v5_pre_topc(k2_tmap_1(A,D,E,B),B,D) & m1_subset_1(k2_tmap_1(A,D,E,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) & v1_funct_1(k2_tmap_1(A,D,E,C)) & v1_funct_2(k2_tmap_1(A,D,E,C),u1_struct_0(C),u1_struct_0(D)) & v5_pre_topc(k2_tmap_1(A,D,E,C),C,D) & m1_subset_1(k2_tmap_1(A,D,E,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k2_tmap_1(A,D,E,k1_tsep_1(A,B,C))) & v1_funct_2(k2_tmap_1(A,D,E,k1_tsep_1(A,B,C)),u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) & v5_pre_topc(k2_tmap_1(A,D,E,k1_tsep_1(A,B,C)),k1_tsep_1(A,B,C),D) & m1_subset_1(k2_tmap_1(A,D,E,k1_tsep_1(A,B,C)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)))) ) ) ) ) ) ) ) ) ) )).
fof(t124_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k5_xboolean(k3_xboolean(B),k6_xboolean(k6_xboolean(B,A),A)) = k2_xboolean ) ) )).
fof(t124_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(A,B),D),C) = k6_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C)),k7_xcmplx_0(D,C)) ) ) ) ) )).
fof(t124_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k5_xcmplx_0(B),k5_xcmplx_0(A)) ) ) ) )).
fof(t124_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(B,D) & r1_xxreal_0(C,D) & r1_tarski(k1_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t124_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k5_zf_lang(k9_zf_lang(A,B)),k6_zf_lang(k5_zf_lang(A),k5_zf_lang(B)))) & r2_zf_model(C,k10_zf_lang(k5_zf_lang(k9_zf_lang(A,B)),k6_zf_lang(k5_zf_lang(A),k5_zf_lang(B)))) ) ) ) ) ) )).
fof(t124_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_tarski(A,B) & k3_xboole_0(B,C) = k1_tarski(D) & r2_hidden(D,A) ) => k3_xboole_0(A,C) = k1_tarski(D) ) )).
fof(t124_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => ( r1_zmodul01(A,C,B) & r1_zmodul01(A,B,C) ) ) ) ) )).
fof(t125_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ( r2_tarski(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => r2_tarski(C,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),k7_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),C))) ) ) ) ) )).
fof(t125_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r11_absred_0(A,B,C) <=> r5_rewrite1(u1_absred_0(A),B,C) ) ) ) ) )).
fof(t125_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k19_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I,J),k12_aofa_l00(A,E,F,k20_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,H),I,J))),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t125_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,C,F),k9_bvfunc_1(A,D,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,E,F))),k1_bvfunc_1(A,k2_bvfunc_1(A,E,G))),k9_bvfunc_1(A,E,B)) ) ) ) ) ) ) ) )).
fof(t125_finseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) ) => k3_relat_1(k10_finseq_1(B,C),A) = k10_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) )).
fof(t125_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(A,k4_card_3(k11_finseq_1(B,C,D))) <=> ? [E] : ? [F] : ? [G] : ( r2_hidden(E,B) & r2_hidden(F,C) & r2_hidden(G,D) & A = k11_finseq_1(E,F,G) ) ) )).
fof(t125_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,A) => k17_finseq_1(A,k1_nat_1(C,1),k8_finseq_1(A,k12_finseq_1(A,D),B)) = k8_finseq_1(A,k12_finseq_1(A,D),k17_finseq_1(A,C,B)) ) ) ) ) )).
fof(t125_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_tarski(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_tarski(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),B))) ) => ( k1_funct_1(C,A) = k1_funct_1(D,A) => r2_funct_2(k1_tarski(A),B,C,D) ) ) ) )).
fof(t125_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_partfun1(A,B) & r1_partfun1(B,C) & r1_partfun1(C,A) ) => r1_partfun1(k1_funct_4(A,B),C) ) ) ) ) )).
fof(t125_funct_7,axiom,( ! [A] : ! [B] : ! [C] : k12_funct_7(A,B,C) = k1_funct_7(k10_funct_7(A,C),1,B) )).
fof(t125_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_twoscomp(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),k5_facirc_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D,2),k48_gfacirc1(A,B,C)) = k2_binarith(k2_binarith(E,F),G) & k1_funct_1(k5_facirc_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k1_facirc_1)) = k2_binarith(E,F) & k1_funct_1(k5_facirc_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D,2),A) = E & k1_funct_1(k5_facirc_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D,2),B) = F & k1_funct_1(k5_facirc_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D,2),C) = G ) ) ) ) ) ) ) )).
fof(t125_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ~ v3_glib_001(B,A) <=> r1_xxreal_0(3,k3_finseq_1(B)) ) ) ) )).
fof(t125_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => k13_group_2(A,k10_group_2(A,C,D),B) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k13_group_2(A,C,B),k13_group_2(A,D,B)) ) ) ) ) )).
fof(t125_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & v1_group_3(C,A) & m1_group_2(C,A) ) => k2_group_2(A,k8_group_2(A,B),k8_group_2(A,C)) = k2_group_2(A,k8_group_2(A,C),k8_group_2(A,B)) ) ) ) )).
fof(t125_group_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(C)) => k1_funct_1(D,G) = k1_funct_1(F,k1_funct_1(C,G)) ) ) & k3_finseq_1(C) = k3_finseq_1(E) & k3_finseq_1(D) = k3_finseq_1(E) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),F,k3_group_4(A,k4_group_4(A,E,C))) = k3_group_4(B,k4_group_4(B,E,D)) ) ) ) ) ) ) ) )).
fof(t125_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & C = k8_struct_0(k15_euclid(2)) & B = a_0_2_jgraph_4 ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),C)) ) ) ) ) ) ) )).
fof(t125_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k17_euclid(B) = F & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & r1_xxreal_0(G,k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),H) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & r1_xxreal_0(k17_euclid(C),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t125_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_xboole_0(B,A) => ( v9_rltopsp1(B,k15_euclid(2)) | r1_tarski(B,k2_jordan2c(2,A)) ) ) ) ) )).
fof(t125_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => k13_member_1(k15_member_1(A,B),C) = k15_member_1(k13_member_1(A,C),B) ) ) ) )).
fof(t125_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v6_msafree5(C) ) => ! [D] : ( ( v15_msafree5(D,A,B) & m1_subset_1(D,u1_struct_0(A)) ) => ! [E] : ( m2_msualg_6(E,A,k1_msafree3(A,C),B,D) => ? [F] : ( m1_msafree4(F,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) & ? [G] : ( v8_msafree5(G,A,C,k1_msafree3(A,C),B,F) & m1_subset_1(G,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) & k3_msafree5(A,k1_msafree3(A,C),G) = D & r8_pboole(k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),B),E,k24_msafree5(A,C,B,F,G)) ) ) ) ) ) ) ) )).
fof(t125_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & v3_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C)) ) => r7_ncfcont1(A,B,D,C) ) ) ) ) )).
fof(t125_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ~ ( r3_pboole(A,B,C) & r3_pboole(A,B,D) & k3_pboole(A,C,D) = k1_pboole(A) ) ) ) ) ) )).
fof(t125_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ! [D] : ( v1_relat_1(D) => ( ( r1_tarski(C,D) & r1_tarski(A,B) ) => r1_tarski(k7_relat_1(C,A),k7_relat_1(D,B)) ) ) ) )).
fof(t125_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v3_valued_0(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(E) ) => k22_rvsum_1(k4_rvsum_1(k10_rvsum_1(C,A),k10_rvsum_1(D,B)),E) = k2_xcmplx_0(k3_xcmplx_0(A,k22_rvsum_1(C,E)),k3_xcmplx_0(B,k22_rvsum_1(D,E))) ) ) ) ) ) ) )).
fof(t125_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r1_scmpds_6(C,B,A) <=> r1_scmpds_6(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) ) ) ) ) )).
fof(t125_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( ( v3_xxreal_2(A) & v3_xxreal_2(B) ) => ( A = k1_xboole_0 | B = k1_xboole_0 | k3_seq_4(k9_member_1(A,B)) = k2_xcmplx_0(k3_seq_4(A),k3_seq_4(B)) ) ) ) ) )).
fof(t125_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),C) = k5_sheffer1(A,C,k5_sheffer1(A,D,B)) ) ) ) ) )).
fof(t125_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9),k7_xcmplx_0(1,A)),k1_partfun2(k1_numbers,B)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k3_xcmplx_0(A,D) & A != k5_numbers & ~ r1_xxreal_0(k1_funct_1(C,D),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(C,D)) ) ) ) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9),k7_xcmplx_0(1,A)),k1_partfun2(k1_numbers,B)),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos9),k7_xcmplx_0(1,A)),k1_partfun2(k1_numbers,B)),B),D) = k4_xcmplx_0(k7_xcmplx_0(k1_square_1(k3_xcmplx_0(A,D)),k2_xcmplx_0(1,k1_square_1(k3_xcmplx_0(A,D))))) ) ) ) ) ) ) ) )).
fof(t125_sincos10,axiom,( v3_rcomp_1(k7_relset_1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t125_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( A = k1_tsep_1(A,B,C) => ( r3_tsep_1(A,B,C) <=> ( r1_tsep_1(B,C) & ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(D)))) ) => ( ( v1_funct_1(k2_tmap_1(A,D,E,B)) & v1_funct_2(k2_tmap_1(A,D,E,B),u1_struct_0(B),u1_struct_0(D)) & v5_pre_topc(k2_tmap_1(A,D,E,B),B,D) & m1_subset_1(k2_tmap_1(A,D,E,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) & v1_funct_1(k2_tmap_1(A,D,E,C)) & v1_funct_2(k2_tmap_1(A,D,E,C),u1_struct_0(C),u1_struct_0(D)) & v5_pre_topc(k2_tmap_1(A,D,E,C),C,D) & m1_subset_1(k2_tmap_1(A,D,E,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D)) & v5_pre_topc(E,A,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(D)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t125_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k7_xboolean(A,A) = k2_xboolean ) )).
fof(t125_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(A,B),D),C) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C)),k7_xcmplx_0(D,C)) ) ) ) ) )).
fof(t125_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,k5_xcmplx_0(A)) & ~ r1_xxreal_0(k5_xcmplx_0(B),k5_numbers) & r1_xxreal_0(B,A) ) ) ) )).
fof(t125_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k2_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t125_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,D,k10_zf_lang(k6_zf_lang(k5_zf_lang(A),k5_zf_lang(B)),k5_zf_lang(k9_zf_lang(A,B)))) & r2_zf_model(C,k10_zf_lang(k6_zf_lang(k5_zf_lang(A),k5_zf_lang(B)),k5_zf_lang(k9_zf_lang(A,B)))) ) ) ) ) ) )).
fof(t125_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_tarski(k3_xboole_0(B,C),k1_tarski(A)) & r2_hidden(A,D) & r1_xboole_0(D,C) ) => r1_xboole_0(k2_xboole_0(B,D),C) ) )).
fof(t125_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => k6_zmodul01(A,B,C) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) ) )).
fof(t126_abcmiz_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_lang1(A,B,C) => m2_finseq_1(C,u1_struct_0(A)) ) ) ) ) )).
fof(t126_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r12_absred_0(A,B,C) <=> r8_rewrite1(u1_absred_0(A),B,C) ) ) ) ) )).
fof(t126_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,k12_aofa_l00(A,E,F,H)),I)),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t126_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,E),k9_bvfunc_1(A,C,F)),k9_bvfunc_1(A,D,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k1_bvfunc_1(A,k2_bvfunc_1(A,E,F))),k1_bvfunc_1(A,k2_bvfunc_1(A,E,G))),k1_bvfunc_1(A,k2_bvfunc_1(A,F,G))),k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,E,B),k9_bvfunc_1(A,F,C)),k9_bvfunc_1(A,G,D))) ) ) ) ) ) ) ) )).
fof(t126_finseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & r2_tarski(D,k9_xtuple_0(A)) ) => k3_relat_1(k11_finseq_1(B,C,D),A) = k11_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C),k1_funct_1(A,D)) ) ) )).
fof(t126_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_card_3(k9_finseq_1(A)) = k4_finseq_2(1,A) ) )).
fof(t126_finseq_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(C,k4_finseq_1(B)) => ( r1_xxreal_0(D,C) | k3_finseq_6(A,B,C,D) = k7_finseq_1(k9_finseq_1(k1_funct_1(B,C)),k3_finseq_6(A,B,k1_nat_1(C,1),D)) ) ) ) ) ) ) )).
fof(t126_funct_2,axiom,( ! [A] : r2_tarski(k6_partfun1(A),k1_funct_2(A,A)) )).
fof(t126_funct_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ( G = k1_realset1(E,C) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(D,D),D))) ) => ( H = k1_realset1(F,D) => k8_funct_4(C,D,G,H) = k1_realset1(k8_funct_4(A,B,E,F),k2_zfmisc_1(C,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(t126_funct_7,axiom,( ! [A] : ! [B] : k10_xtuple_0(k10_funct_7(A,B)) = k2_tarski(A,B) )).
fof(t126_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => k1_twoscomp(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),k5_facirc_1(k46_gfacirc1(A,B,C),k47_gfacirc1(A,B,C),D,2),k48_gfacirc1(A,B,C)) = k8_margrel1(k2_binarith(k2_binarith(k8_margrel1(E),k8_margrel1(F)),k8_margrel1(G))) ) ) ) ) ) ) )).
fof(t126_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ~ ( ~ v3_glib_001(B,A) & k3_finseq_1(B) = 1 ) & ~ ( k3_finseq_1(B) != 1 & v3_glib_001(B,A) ) ) ) ) )).
fof(t126_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => k14_group_2(A,k10_group_2(A,C,D),B) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k14_group_2(A,C,B),k14_group_2(A,D,B)) ) ) ) ) )).
fof(t126_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & v1_group_3(C,A) & m1_group_2(C,A) ) => ? [D] : ( v15_algstr_0(D) & v1_group_3(D,A) & m1_group_2(D,A) & u1_struct_0(D) = k2_group_2(A,k8_group_2(A,B),k8_group_2(A,C)) ) ) ) ) )).
fof(t126_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),B),C)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),B),C)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),C) & B = k8_struct_0(k15_euclid(2)) & C = a_0_3_jgraph_4 ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k1_pre_topc(k15_euclid(2),B),C),k1_pre_topc(k15_euclid(2),B)) ) ) ) ) ) ) )).
fof(t126_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & r1_xxreal_0(k17_euclid(B),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t126_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xboole_0(k7_topreal1(B),A) => r1_tarski(k7_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t126_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => k15_member_1(k15_member_1(A,B),C) = k15_member_1(A,k13_member_1(B,C)) ) ) ) )).
fof(t126_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_msualg_6(D,A,k1_msafree3(A,B)) => ? [E] : ( m1_msualg_6(E,A,C) & r8_pboole(u1_struct_0(A),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),D,k5_msafree5(A,B,C)),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),u3_msualg_1(A,C),u3_msualg_1(A,C),k5_msafree5(A,B,C),E)) & ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,C))) => k4_msafree5(A,C,C,E,F) = k4_msafree5(A,k1_msafree3(A,B),C,k5_msafree5(A,B,C),k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,k1_msafree5(A,B,C,F))) ) ) ) ) ) ) )).
fof(t126_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & v3_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C)) ) => r8_ncfcont1(A,B,D,C) ) ) ) ) )).
fof(t126_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ r4_pboole(A,B,k1_pboole(A)) ) ) )).
fof(t126_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k7_relat_1(k3_relat_1(B,C),A) = k7_relat_1(C,k7_relat_1(B,A)) ) ) )).
fof(t126_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) & v1_finseq_1(D) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) ) => k22_rvsum_1(k4_rvsum_1(A,B),k4_rvsum_1(C,D)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(A,C),k22_rvsum_1(A,D)),k22_rvsum_1(B,C)),k22_rvsum_1(B,D)) ) ) ) ) ) )).
fof(t126_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r2_scmpds_6(C,B,A) <=> r2_scmpds_6(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) ) ) ) ) )).
fof(t126_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( ( v3_xxreal_2(B) & ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,B) & r1_xxreal_0(D,C) ) ) ) ) ) => ( A = k1_xboole_0 | r1_xxreal_0(k3_seq_4(B),k3_seq_4(A)) ) ) ) ) )).
fof(t126_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)) = k5_sheffer1(A,C,B) ) ) ) )).
fof(t126_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9),k4_xcmplx_0(k7_xcmplx_0(1,A))),k1_partfun2(k1_numbers,B)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k3_xcmplx_0(A,D) & A != k5_numbers & ~ r1_xxreal_0(k1_funct_1(C,D),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(C,D)) ) ) ) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9),k4_xcmplx_0(k7_xcmplx_0(1,A))),k1_partfun2(k1_numbers,B)),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k2_sin_cos9),k4_xcmplx_0(k7_xcmplx_0(1,A))),k1_partfun2(k1_numbers,B)),B),D) = k4_xcmplx_0(k7_xcmplx_0(k1_square_1(k3_xcmplx_0(A,D)),k2_xcmplx_0(1,k1_square_1(k3_xcmplx_0(A,D))))) ) ) ) ) ) ) ) )).
fof(t126_sincos10,axiom,( v3_rcomp_1(k7_relset_1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(t126_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) => r2_funct_2(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),E,k10_tmap_1(A,B,C,D,k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E))) ) ) ) ) ) )).
fof(t126_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k7_xboolean(k7_xboolean(k7_xboolean(k7_xboolean(A,B),C),A),k7_xboolean(B,C)) = k2_xboolean ) ) ) )).
fof(t126_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( B != k5_numbers => k6_xcmplx_0(k7_xcmplx_0(A,B),C) = k7_xcmplx_0(k6_xcmplx_0(A,k3_xcmplx_0(C,B)),B) ) ) ) ) )).
fof(t126_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,A) ) => k5_numbers = k3_xcmplx_0(A,B) ) ) ) )).
fof(t126_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(B,D) & ~ r1_xxreal_0(D,C) & r1_tarski(k3_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t126_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => r2_zf_model(C,k10_zf_lang(k7_zf_lang(B,A),A)) ) ) ) )).
fof(t126_zfmisc_1,axiom,( ! [A] : ! [B] : ( ! [C] : ! [D] : ( ( r2_tarski(C,A) & r2_tarski(D,B) ) => r1_xboole_0(C,D) ) => r1_xboole_0(k3_tarski(A),k3_tarski(B)) ) )).
fof(t126_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => k7_zmodul01(A,B,C) = k3_zmodul01(A) ) ) ) )).
fof(t127_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_msafree(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_msafree(A,C))) => ! [F] : ( m2_finseq_1(F,u1_struct_0(k5_msafree(A,B))) => ! [G] : ( m2_finseq_1(G,u1_struct_0(k5_msafree(A,C))) => ( ( D = E & F = G & r1_lang1(k5_msafree(A,B),D,F) ) => r1_lang1(k5_msafree(A,C),E,G) ) ) ) ) ) ) ) ) )).
fof(t127_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r13_absred_0(A,B,C) <=> r7_rewrite1(u1_absred_0(A),B,C) ) ) ) ) )).
fof(t127_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k13_aofa_l00(A,E,F,H,I),J),k13_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t127_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,E)),k1_bvfunc_1(A,k2_bvfunc_1(A,D,E))),k1_bvfunc_1(A,k2_bvfunc_1(A,B,C))),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t127_finseq_2,axiom,( ! [A] : ! [B] : k10_xtuple_0(k10_finseq_1(A,B)) = k2_tarski(A,B) )).
fof(t127_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => k4_card_3(k10_finseq_1(A,B)) = a_2_0_finseq_3(A,B) ) ) )).
fof(t127_funct_2,axiom,( k1_funct_2(k1_xboole_0,k1_xboole_0) = k1_tarski(k6_partfun1(k1_xboole_0)) )).
fof(t127_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( C != D => k6_funct_4(k6_funct_4(B,C,D),C,A) = k6_funct_4(B,C,D) ) ) )).
fof(t127_funct_7,axiom,( ! [A] : ! [B] : ! [C] : k10_xtuple_0(k12_funct_7(A,B,C)) = k1_enumset1(A,B,C) )).
fof(t127_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k49_gfacirc1(A,B,C)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A,B),k1_facirc_1)),k1_tarski(k48_gfacirc1(A,B,C))),k1_enumset1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp))),k1_tarski(k45_gfacirc1(A,B,C))) )).
fof(t127_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ~ ( k3_glib_001(A,B) != k4_glib_001(A,B) & v3_glib_001(B,A) ) ) ) )).
fof(t127_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ? [D] : ( v15_algstr_0(D) & m1_group_2(D,A) & u1_struct_0(D) = k5_group_2(A,k2_group_1(A,B),k13_group_2(A,C,B)) ) ) ) ) )).
fof(t127_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => k15_group_2(A,B) = k16_group_2(A,B) ) ) )).
fof(t127_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),B),C)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),B),C)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),C) & B = k8_struct_0(k15_euclid(2)) & C = a_0_2_jgraph_4 ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k1_pre_topc(k15_euclid(2),B),C),k1_pre_topc(k15_euclid(2),B)) ) ) ) ) ) ) )).
fof(t127_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = H & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(E,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),F) & ~ r1_xxreal_0(k17_euclid(D),E) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & r1_xxreal_0(k17_euclid(B),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t127_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xboole_0(k5_topreal1(B),A) => r1_tarski(k5_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t127_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_membered(C) => k15_member_1(A,k15_member_1(B,C)) = k15_member_1(k13_member_1(A,C),B) ) ) ) )).
fof(t127_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_msualg_6(D,A,k1_msafree3(A,B)) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => k4_msafree5(A,k1_msafree3(A,B),C,k5_msafree5(A,B,C),k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,E)) = k4_msafree5(A,k1_msafree3(A,B),C,k5_msafree5(A,B,C),k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,k1_msafree5(A,B,C,k4_msafree5(A,k1_msafree3(A,B),C,k5_msafree5(A,B,C),E)))) ) ) ) ) ) )).
fof(t127_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( r1_tarski(C,k1_relset_1(u1_struct_0(B),D)) & v3_funct_1(k2_partfun1(u1_struct_0(B),u1_struct_0(A),D,C)) ) => r9_ncfcont1(B,A,D,C) ) ) ) ) )).
fof(t127_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ~ ( r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A)) & r4_pboole(A,B,C) ) ) ) ) )).
fof(t127_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k10_xtuple_0(k3_relat_1(A,B)) = k7_relat_1(B,k10_xtuple_0(A)) ) ) )).
fof(t127_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) & v1_finseq_1(D) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) ) => k22_rvsum_1(k8_rvsum_1(A,B),k8_rvsum_1(C,D)) = k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(A,C),k22_rvsum_1(A,D)),k22_rvsum_1(B,C)),k22_rvsum_1(B,D)) ) ) ) ) ) )).
fof(t127_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ~ ( B != k1_xboole_0 & C != k1_xboole_0 & ~ r1_xxreal_0(k5_numbers,k24_seq_4(A,B,C)) ) ) ) ) )).
fof(t127_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => C = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),D),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) ) ) ) ) )).
fof(t127_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9),A),B) = k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k1_sin_cos9,B),B),k7_xcmplx_0(k1_funct_1(k3_taylor_1,B),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t127_sincos10,axiom,( v3_rcomp_1(k7_relset_1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(t127_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( A = k1_tsep_1(A,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r1_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),E,k10_tmap_1(A,B,C,D,k2_tmap_1(A,B,E,C),k2_tmap_1(A,B,E,D))) ) ) ) ) ) ) )).
fof(t127_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ( ( k7_xboolean(A,B) = k2_xboolean & k7_xboolean(B,C) = k2_xboolean ) => k7_xboolean(A,C) = k2_xboolean ) ) ) ) )).
fof(t127_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( B != k5_numbers => k6_xcmplx_0(C,k7_xcmplx_0(A,B)) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C,B),A),B) ) ) ) ) )).
fof(t127_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => r1_xxreal_0(k5_numbers,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t127_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(D,C) & r1_tarski(k4_xxreal_1(C,D),k4_xxreal_1(A,B)) ) ) ) ) ) )).
fof(t127_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => r2_zf_model(C,k10_zf_lang(A,k12_zf_lang(B,A))) ) ) ) )).
fof(t127_zfmisc_1,axiom,( ! [A] : ! [B] : ~ r2_tarski(A,k2_zfmisc_1(A,B)) )).
fof(t127_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( r1_zmodul01(A,B,C) => r1_zmodul01(A,C,B) ) ) ) ) )).
fof(t128_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v13_abcmiz_1(B,A) ) => k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))) = k4_dtconstr(k5_msafree(A,B)) ) ) )).
fof(t128_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r12_absred_0(A,B,C) => r10_absred_0(A,B,C) ) ) ) ) )).
fof(t128_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k13_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k13_aofa_l00(A,E,F,H,I),J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t128_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,E),k9_bvfunc_1(A,C,F)),k9_bvfunc_1(A,D,G)),k1_bvfunc_1(A,k2_bvfunc_1(A,E,F))),k1_bvfunc_1(A,k2_bvfunc_1(A,E,G))),k1_bvfunc_1(A,k2_bvfunc_1(A,F,G))),k2_bvfunc_1(A,k2_bvfunc_1(A,k1_bvfunc_1(A,k2_bvfunc_1(A,B,C)),k1_bvfunc_1(A,k2_bvfunc_1(A,B,D))),k1_bvfunc_1(A,k2_bvfunc_1(A,C,D)))) ) ) ) ) ) ) ) )).
fof(t128_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : k10_xtuple_0(k11_finseq_1(A,B,C)) = k1_enumset1(A,B,C) )).
fof(t128_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_card_3(k10_finseq_1(A,A)) = k4_finseq_2(2,A) ) )).
fof(t128_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( r2_tarski(D,k1_funct_2(A,B)) & r2_tarski(E,k1_funct_2(B,C)) ) => r2_tarski(k3_relat_1(D,E),k1_funct_2(A,C)) ) ) ) )).
fof(t128_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k9_xtuple_0(k9_funct_4(A,B,C,D,E,F)) = k1_enumset1(A,B,C) )).
fof(t128_funct_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : k1_funct_1(k1_funct_7(C,D,E),D) = E ) ) ) ) )).
fof(t128_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : v1_relat_1(k3_msafree2(k49_gfacirc1(A,B,C))) )).
fof(t128_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) <=> ? [C] : ( m1_subset_1(C,k6_glib_000(A)) & r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B,k1_glib_001(A,C)) ) ) ) ) )).
fof(t128_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => r2_wellord2(k13_group_2(A,D,B),k13_group_2(A,D,C)) ) ) ) ) )).
fof(t128_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ( v1_finset_1(k15_group_2(A,B)) & k18_group_2(A,B) = 2 ) => ( v1_group_3(B,A) & m1_group_2(B,A) ) ) ) ) )).
fof(t128_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k12_euclid(k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B)) = k12_euclid(B) ) ) )).
fof(t128_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k17_euclid(B) = F & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k18_euclid(A),k18_euclid(B)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(G,k18_euclid(D)) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t128_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xboole_0(k6_topreal1(B),A) => r1_tarski(k6_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t128_member_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k15_member_1(k1_tarski(A),k1_tarski(B)) = k1_tarski(k7_xcmplx_0(A,B)) ) ) )).
fof(t128_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,u1_struct_0(A)) ) => ! [D] : ( ( v18_msafree5(D,A,B,C) & m2_finseq_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) ) => ! [E] : ( ( v17_msafree5(E,A,B,C) & m2_finseq_1(E,k3_card_3(B)) ) => ( v22_msafree5(E,A,B,C,D) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(C)) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(C)) => v9_msafree5(k27_msafree5(A,B,C,D,F),A,B,k1_msafree3(A,B),k25_msafree5(A,C,G),k26_msafree5(A,B,C,E,G)) ) ) ) ) ) ) ) ) )).
fof(t128_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) => k7_partfun1(u1_struct_0(A),B,C) = C ) ) => r7_ncfcont1(A,A,B,k1_relset_1(u1_struct_0(A),B)) ) ) ) )).
fof(t128_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ ( r4_pboole(A,B,B) & B = k1_pboole(A) ) ) ) )).
fof(t128_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => r1_tarski(k7_relat_1(k5_relat_1(C,A),B),k7_relat_1(C,B)) ) )).
fof(t128_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k22_rvsum_1(k4_rvsum_1(A,B),k4_rvsum_1(A,B)) = k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(A,A),k3_xcmplx_0(2,k22_rvsum_1(A,B))),k22_rvsum_1(B,B)) ) ) ) )).
fof(t128_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => k24_seq_4(A,B,C) = k24_seq_4(A,C,B) ) ) ) )).
fof(t128_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B)),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = C ) ) ) )).
fof(t128_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9),A),B) = k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k2_sin_cos9,B),B),k7_xcmplx_0(k1_funct_1(k3_taylor_1,B),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t128_sincos10,axiom,( v3_rcomp_1(k7_relset_1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t128_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( ~ r1_tsep_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r2_funct_2(u1_struct_0(C),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)),E) & r2_funct_2(u1_struct_0(D),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)),F) ) <=> r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) ) ) ) ) ) ) ) ) )).
fof(t128_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ! [D] : ( v1_xboolean(D) => ( ( k7_xboolean(A,B) = k2_xboolean & k7_xboolean(C,D) = k2_xboolean ) => k7_xboolean(k7_xboolean(A,C),k7_xboolean(B,D)) = k2_xboolean ) ) ) ) ) )).
fof(t128_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k6_xcmplx_0(A,B) = k3_xcmplx_0(C,k6_xcmplx_0(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C))) ) ) ) ) )).
fof(t128_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(B,k5_numbers) ) => r1_xxreal_0(k5_numbers,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t128_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k1_xxreal_1(A,B) = k2_xboole_0(k4_xxreal_1(A,B),k2_tarski(A,B)) ) ) ) )).
fof(t128_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ( ~ r2_tarski(C,k2_zf_model(A)) => r2_zf_model(D,k10_zf_lang(k7_zf_lang(C,k10_zf_lang(A,B)),k10_zf_lang(A,k7_zf_lang(C,B)))) ) ) ) ) ) )).
fof(t128_zfmisc_1,axiom,( ! [A] : ! [B] : ( B = k4_tarski(A,k1_tarski(A)) => r2_tarski(B,k2_zfmisc_1(k1_tarski(A),B)) ) )).
fof(t128_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => m3_zmodul01(B,A,C) ) ) ) )).
fof(t129_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))))) ) => ( m4_abcmiz_1(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( r2_tarski(E,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D)) => r2_tarski(k1_funct_1(C,E),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D)) ) ) ) ) ) ) )).
fof(t129_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r13_absred_0(A,B,C) => r11_absred_0(A,B,C) ) ) ) ) )).
fof(t129_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k14_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k14_aofa_l00(A,E,F,H,I),J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t129_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,B,C),B) ) ) ) )).
fof(t129_finseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_tarski(A,C) & r1_tarski(B,C) & k3_finseq_1(A) = k3_finseq_1(B) ) => A = B ) ) ) ) )).
fof(t129_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => k4_card_3(k11_finseq_1(A,B,C)) = a_3_1_finseq_3(A,B,C) ) ) ) )).
fof(t129_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( k1_funct_2(A,B) != k1_xboole_0 & k1_funct_2(B,C) != k1_xboole_0 & k1_funct_2(A,C) = k1_xboole_0 ) )).
fof(t129_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : r1_tarski(k10_xtuple_0(k9_funct_4(A,B,C,D,E,F)),k1_enumset1(D,E,F)) )).
fof(t129_funct_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( m1_subset_1(E,A) => ( ! [F] : ( m1_subset_1(F,A) => ( k3_funct_2(A,B,C,F) != k3_funct_2(A,B,D,F) => F = E ) ) => r2_funct_2(A,B,C,k14_funct_7(A,B,D,E,k3_funct_2(A,B,C,E))) ) ) ) ) ) ) )).
fof(t129_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & k2_msafree2(k49_gfacirc1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t129_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) <=> v3_glib_001(k6_glib_001(A,B),A) ) ) ) )).
fof(t129_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => r2_wellord2(k13_group_2(A,D,B),k14_group_2(A,D,C)) ) ) ) ) )).
fof(t129_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r1_struct_0(k10_group_3(B,C),A) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & k4_group_3(B,C,D) = C ) ) ) ) )).
fof(t129_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( ( r2_tarski(B,C) & C = a_0_3_jgraph_4 ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | r2_tarski(k1_funct_1(k9_jgraph_4(A),B),C) ) ) ) )).
fof(t129_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k17_euclid(B) = F & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k18_euclid(A),k18_euclid(B)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & ~ r1_xxreal_0(k18_euclid(C),k18_euclid(D)) & r1_xxreal_0(G,k18_euclid(D)) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t129_jordan2c,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xboole_0(k4_topreal1(B),A) => r1_tarski(k4_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t129_member_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k15_member_1(k1_tarski(A),k2_tarski(B,C)) = k2_tarski(k7_xcmplx_0(A,B),k7_xcmplx_0(A,C)) ) ) ) )).
fof(t129_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( m2_msafree5(D,A,B,C) => m2_finseq_1(k12_mcart_1(D),u1_struct_0(A)) ) ) ) ) )).
fof(t129_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_relset_1(u1_struct_0(A),u1_struct_0(A),B,k1_partfun2(u1_struct_0(A),k1_relset_1(u1_struct_0(A),B))) => r7_ncfcont1(A,A,B,k1_relset_1(u1_struct_0(A),B)) ) ) ) )).
fof(t129_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v3_relat_1(B) <=> r6_pboole(A,B,k1_pboole(A)) ) ) )).
fof(t129_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_tarski(B,C) => k7_relat_1(k5_relat_1(A,C),B) = k7_relat_1(A,B) ) ) )).
fof(t129_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k22_rvsum_1(k8_rvsum_1(A,B),k8_rvsum_1(A,B)) = k2_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(A,A),k3_xcmplx_0(2,k22_rvsum_1(A,B))),k22_rvsum_1(B,B)) ) ) ) )).
fof(t129_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k2_numbers,k12_seq_4(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k12_seq_4(A))) => ~ ( C != k1_xboole_0 & D != k1_xboole_0 & ~ r1_xxreal_0(k24_seq_4(A,C,D),k2_xcmplx_0(k22_seq_4(A,B,C),k22_seq_4(A,B,D))) ) ) ) ) ) )).
fof(t129_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,D,D),C)),C) ) ) ) ) )).
fof(t129_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_tarski(k5_numbers,A) | ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_sin_cos9),A),B) = k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k1_sin_cos9,B),k1_square_1(B))),k7_xcmplx_0(1,k3_xcmplx_0(B,k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) ) )).
fof(t129_sincos10,axiom,( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_sincos10,k7_relset_1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))))) )).
fof(t129_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) => ( ( m1_pre_topc(C,D) => r1_funct_2(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),u1_struct_0(D),u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F),F) ) & ( r1_funct_2(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),u1_struct_0(D),u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F),F) => m1_pre_topc(C,D) ) & ( m1_pre_topc(D,C) => r1_funct_2(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),u1_struct_0(C),u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F),E) ) & ( r1_funct_2(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),u1_struct_0(C),u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F),E) => m1_pre_topc(D,C) ) ) ) ) ) ) ) ) ) )).
fof(t129_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k3_xboolean(k7_xboolean(A,k3_xboolean(A))) = k2_xboolean ) )).
fof(t129_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k6_xcmplx_0(A,B) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)),C) ) ) ) ) )).
fof(t129_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k3_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(t129_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k1_xxreal_1(A,B) = k2_xboole_0(k2_xxreal_1(A,B),k1_tarski(B)) ) ) ) )).
fof(t129_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ( r2_zf_model(D,k10_zf_lang(A,B)) => ( r2_tarski(C,k2_zf_model(A)) | r2_zf_model(D,k10_zf_lang(A,k7_zf_lang(C,B))) ) ) ) ) ) ) )).
fof(t129_zfmisc_1,axiom,( ! [A] : ! [B] : ~ ( r2_tarski(B,k2_zfmisc_1(A,B)) & ! [C] : ~ ( r2_hidden(C,A) & B = k4_tarski(C,k1_tarski(C)) ) ) )).
fof(t129_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( r1_zmodul01(A,k3_zmodul01(A),k4_zmodul01(A)) & r1_zmodul01(A,k4_zmodul01(A),k3_zmodul01(A)) ) ) )).
fof(t12_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => k3_abcmiz_0(A,B) = a_2_0_abcmiz_0(A,B) ) ) )).
fof(t12_abcmiz_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ( m1_subset_1(B,A) => k1_abcmiz_1(B) = B ) => k1_abcmiz_1(k1_setfam_1(A)) = k1_setfam_1(A) ) ) )).
fof(t12_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k1_funct_1(B,k1_xboole_0) = k4_tarski(C,u1_struct_0(A)) => m1_abcmiz_1(B,A,k2_msualg_1(A,C)) ) ) ) ) )).
fof(t12_abian,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) ) => r1_xxreal_0(1,A) ) )).
fof(t12_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,B,C) & r1_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t12_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k9_complex1(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k9_complex1(A),k9_complex1(B)) => r1_xxreal_0(k5_numbers,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t12_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_2(B,A,k4_finseq_2(4,A)) => ! [C] : ( m2_finseq_2(C,A,k4_finseq_2(4,A)) => ! [D] : ( m2_finseq_2(D,A,k4_finseq_2(4,A)) => ! [E] : ( m2_finseq_2(E,A,k4_finseq_2(4,A)) => ! [F] : ( m2_finseq_2(F,A,k4_finseq_2(4,A)) => ! [G] : ( m2_finseq_2(G,A,k4_finseq_2(4,A)) => ! [H] : ( m2_finseq_2(H,A,k4_finseq_2(4,A)) => ! [I] : ( m2_finseq_2(I,A,k4_finseq_2(4,A)) => m2_finseq_2(k7_finseq_4(k8_finseq_1(A,B,F),k8_finseq_1(A,C,G),k8_finseq_1(A,D,H),k8_finseq_1(A,E,I)),k4_finseq_2(8,A),k4_finseq_2(4,k4_finseq_2(8,A))) ) ) ) ) ) ) ) ) ) )).
fof(t12_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_aff_1(A,B,C,D) ) ) ) ) )).
fof(t12_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v4_aff_2(A) => v7_aff_2(A) ) ) )).
fof(t12_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_tarski(C,B) ) ) ) ) )).
fof(t12_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) ) )).
fof(t12_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => k2_afinsq_2(k1_ordinal4(A,B),k1_afinsq_1(A)) = B ) ) )).
fof(t12_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) ) => ( k5_afproj(A,B) = k5_afproj(A,C) <=> r1_aff_4(A,B,C) ) ) ) ) ) )).
fof(t12_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,G,F) ) => r2_analoaf(A,C,D,G,E) ) ) ) ) ) ) ) ) )).
fof(t12_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => r5_alg_1(A,A) ) )).
fof(t12_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k1_algseq_1(A,B) = k1_algseq_1(A,C) & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k1_algseq_1(A,B),D) => k1_funct_1(B,D) = k1_funct_1(C,D) ) ) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),B,C) ) ) ) ) )).
fof(t12_algspec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r6_pboole(A,k1_algspec1(A,k1_funct_4(k6_partfun1(A),B)),k1_algspec1(A,B)) ) )).
fof(t12_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & v21_algstr_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v5_algstr_1(A) & l4_algstr_0(A) ) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k6_algstr_0(A,B,C) = k5_struct_0(A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) ) ) ) ) ) )).
fof(t12_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_algstr_1(A) & v4_algstr_1(A) & v7_algstr_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_0(A,B,k4_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_algstr_0(A,B,C) = k4_struct_0(A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_algstr_0(A,k1_algstr_0(A,B,C),D) = k1_algstr_0(A,B,k1_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,B,C) = k1_algstr_0(A,C,B) ) ) & k4_struct_0(A) != k5_struct_0(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) != k5_struct_0(A) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k4_struct_0(A)) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,k1_algstr_0(A,C,D)) = k1_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) ) ) ) ) ) )).
fof(t12_algstr_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v2_algstr_4(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( v1_group_6(C,A,B) => ( v2_algstr_4(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),A) & m1_subset_1(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) ) )).
fof(t12_altcat_1,axiom,( ! [A] : ! [B] : ! [C] : r1_tarski(k10_xtuple_0(k6_altcat_1(k1_funct_2(A,B),k1_funct_2(B,C))),k1_funct_2(A,C)) )).
fof(t12_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(k4_cat_1(A,B),k1_binop_1(k2_altcat_2(A),B,B)) ) ) )).
fof(t12_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) & ? [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) & v5_altcat_3(k5_altcat_1(A,B,C,D,E,F),A,B,D) & ~ v5_altcat_3(F,A,C,D) ) ) ) ) ) ) ) )).
fof(t12_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v6_altcat_3(B,A) & v7_altcat_3(C,A) ) => ( k1_altcat_1(A,C,B) = k1_xboole_0 | ( v6_altcat_3(C,A) & v7_altcat_3(B,A) ) ) ) ) ) ) )).
fof(t12_altcat_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(k7_altcat_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(k7_altcat_1(A))))) ) => r2_tarski(k3_card_3(k3_msafree(B,C)),A) ) => v3_altcat_6(k7_altcat_1(A)) ) ) )).
fof(t12_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => k1_funct_1(k6_ami_2(A,B),C) = k1_funct_1(A,C) ) ) ) )).
fof(t12_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k10_ami_3(A) != B ) ) )).
fof(t12_ami_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( k5_compos_0(u1_compos_1(k1_ami_3),A) = 5 & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k6_ami_3(B,C) ) ) ) ) )).
fof(t12_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => k1_funct_1(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3),k5_compos_0(u1_compos_1(k1_ami_3),k7_ami_3(A)))),1) = k4_ordinal1 ) )).
fof(t12_ami_wstd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v2_ami_wstd(C,B) & l1_extpro_1(C,B) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k4_ami_wstd(B,C,D,A) = k4_ami_wstd(B,C,E,A) => D = E ) ) ) ) ) ) )).
fof(t12_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_compos_1(B)) => ( v4_amistd_1(D,A,B) => k1_amistd_1(A,B,C,D) = k6_domain_1(k4_ordinal1,k1_nat_1(C,1)) ) ) ) ) ) )).
fof(t12_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) => v1_xboole_0(k4_amistd_4(A,B,C)) ) ) ) ) )).
fof(t12_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & v5_amistd_5(B,A) & v6_amistd_5(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & ~ v1_xboole_0(D) & v1_finset_1(D) & v4_extpro_1(D,A,B,C) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(D)) => ( v5_extpro_1(D,A,B,C) <=> v5_extpro_1(k9_memstr_0(A,B,D,E),A,B,k6_compos_1(B,C,E)) ) ) ) ) ) ) ) )).
fof(t12_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_analmetr(A,E,F) & r2_analmetr(A,B,k5_algstr_0(A,C,D),E,F) & r2_analmetr(A,C,k5_algstr_0(A,D,B),E,F) ) => r2_analmetr(A,D,k5_algstr_0(A,B,C),E,F) ) ) ) ) ) ) ) )).
fof(t12_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analoaf(A,B,C,D,E) => ( r1_analoaf(A,C,B,E,D) & r1_analoaf(A,D,E,B,C) ) ) ) ) ) ) ) )).
fof(t12_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ( r1_analmetr(A,C,D) => k2_analort(A,C,D,k1_rlvect_1(A,B,E)) = k1_rlvect_1(A,k2_analort(A,C,D,B),E) ) ) ) ) ) ) )).
fof(t12_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r2_anproj_1(A,B,C,D) => ( ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ~ v9_struct_0(D,A) & ~ r1_anproj_1(A,B,C) & ~ r1_anproj_1(A,C,D) & ~ r1_anproj_1(A,D,B) ) ) ) ) ) ) )).
fof(t12_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ~ ( B != C & B != D & C != D & ! [E] : ( m2_funct_2(E,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [F] : ( m2_funct_2(F,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [G] : ( m2_funct_2(G,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & ? [J] : ( v1_xreal_0(J) & k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(H,E)),k1_funct_1(k7_funcsdom(A),k4_tarski(I,F))),k1_funct_1(k7_funcsdom(A),k4_tarski(J,G))) = k8_funcsdom(A) & ~ ( H = k5_numbers & I = k5_numbers & J = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) ) => ( r2_hidden(C,D) | k1_funct_1(k7_aofa_000(A,D,B),C) = C ) ) ) ) )).
fof(t12_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( B = k10_subset_1(k1_funct_1(u7_aofa_a00(A),2),u4_struct_0(A)) => ( B = k1_funct_1(u7_aofa_a00(A),2) & k1_msualg_1(A,B) = k12_finseq_1(u1_struct_0(A),u8_aofa_a00(A)) & k2_msualg_1(A,B) = u8_aofa_a00(A) ) ) ) ) )).
fof(t12_aofa_i00,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k2_power(k5_numbers,k2_xcmplx_0(A,B)) = k3_xcmplx_0(k2_power(k5_numbers,A),k2_power(k5_numbers,B)) ) ) )).
fof(t12_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_aofa_l00(C,A,B) => r1_tarski(C,k3_card_3(u3_msualg_1(A,B))) ) ) ) )).
fof(t12_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_armstrng(A)) => ! [C] : ( m1_subset_1(C,k4_armstrng(A)) => ! [D] : ( m1_subset_1(D,k4_armstrng(A)) => ( ( r3_armstrng(A,C,B) & r3_armstrng(A,D,C) ) => r3_armstrng(A,D,B) ) ) ) ) )).
fof(t12_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_subset_1(D,k2_arrow(A),k3_arrow(A)) => ! [E] : ( m2_subset_1(E,k2_arrow(A),k3_arrow(A)) => ( ~ ( ~ ( ~ r1_arrow(D,C,B) & r1_arrow(E,C,B) ) & ~ ( ~ r1_arrow(E,C,B) & r1_arrow(D,C,B) ) & ~ ( ~ r1_arrow(D,B,C) & r1_arrow(E,B,C) ) & ~ ( ~ r1_arrow(E,B,C) & r1_arrow(D,B,C) ) & ~ ( ~ ( ~ r1_arrow(D,C,B) & r1_arrow(E,C,B) ) & ~ ( ~ r1_arrow(E,C,B) & r1_arrow(D,C,B) ) ) ) & ~ ( ~ ( ~ r1_arrow(D,C,B) & r1_arrow(E,C,B) ) & ~ ( ~ r1_arrow(E,C,B) & r1_arrow(D,C,B) ) & ~ ( ~ ( ~ r1_arrow(D,C,B) & r1_arrow(E,C,B) ) & ~ ( ~ r1_arrow(E,C,B) & r1_arrow(D,C,B) ) & ~ ( ~ r1_arrow(D,B,C) & r1_arrow(E,B,C) ) & ~ ( ~ r1_arrow(E,B,C) & r1_arrow(D,B,C) ) ) ) ) ) ) ) ) ) )).
fof(t12_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( B = k5_numbers => k2_arytm_0(A,B) = k5_numbers ) ) ) )).
fof(t12_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(B,A) & r1_arytm_2(B,C) ) => k7_arytm_2(A,k1_arytm_1(C,B)) = k7_arytm_2(k1_arytm_1(A,B),C) ) ) ) ) )).
fof(t12_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => k8_arytm_2(A,k8_arytm_2(B,C)) = k8_arytm_2(k8_arytm_2(A,B),C) ) ) ) )).
fof(t12_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => r2_arytm_3(k2_arytm_3(A,B),k9_ordinal3(A,B)) ) ) )).
fof(t12_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r2_tarski(A,k6_asympt_0(B)) & r2_tarski(B,k6_asympt_0(C)) ) => r2_tarski(A,k6_asympt_0(C)) ) ) ) ) )).
fof(t12_asympt_1,axiom,( ~ r2_tarski(k3_asympt_1(2),k7_asympt_0(k3_asympt_1(3))) )).
fof(t12_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( ( v1_msualg_3(D) & v2_msualg_3(D,A,B,C) ) => ( v1_msualg_3(k4_msualg_3(A,B,C,D)) & v2_msualg_3(k4_msualg_3(A,B,C,D),A,C,B) ) ) ) ) ) )).
fof(t12_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) ) ) )).
fof(t12_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( ( D = k23_pre_poly(A,k7_pre_poly(A,k22_pre_poly(A,B),k2_orders_1(A)),B) & E = k23_pre_poly(A,k7_pre_poly(A,k1_finsub_1(k1_zfmisc_1(A),k22_pre_poly(A,B),C),k2_orders_1(A)),B) ) => k1_wsierp_1(D) = k1_wsierp_1(E) ) ) ) ) ) ) )).
fof(t12_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( m2_finseq_2(E,k2_tarski(C,D),k4_finseq_2(k2_xcmplx_0(A,B),k2_tarski(C,D))) => ( C != D => ( r2_tarski(E,k1_ballot_1(C,A,D,B)) <=> k4_card_1(k8_relset_1(k4_ordinal1,k2_tarski(C,D),E,k1_tarski(D))) = B ) ) ) ) ) )).
fof(t12_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_bcialg_1(B,C,k1_bcialg_1(B,C,D)) = k1_bcialg_1(B,D,k1_bcialg_1(B,D,C)) ) ) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t12_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_1(A,k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,C))) = k1_bcialg_2(A,k4_struct_0(A),B,C) ) ) ) )).
fof(t12_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v2_bcialg_3(B,A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t12_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,C),D) = k1_bcialg_1(A,B,k1_bcialg_4(A,C,D)) ) ) ) ) )).
fof(t12_bcialg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => r1_bcialg_1(A,k1_bcialg_5(A,B,C,D,k1_nat_1(D,1)),k1_bcialg_5(A,C,B,D,D)) ) ) ) ) )).
fof(t12_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,k4_bcialg_1(A)) => k2_bcialg_6(A,B,k4_xcmplx_0(C)) = k4_struct_0(A) ) ) ) ) )).
fof(t12_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v13_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => v12_bcialg_1(B,A) ) ) )).
fof(t12_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_bhsp_1(A,B,k5_algstr_0(A,C,D)) = k6_xcmplx_0(k2_bhsp_1(A,B,C),k2_bhsp_1(A,B,D)) ) ) ) ) )).
fof(t12_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(B,A) => ( ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & k8_nat_1(u1_struct_0(A),C,E) != k8_nat_1(u1_struct_0(A),B,E) ) ) | k1_bhsp_2(A,B) = k1_bhsp_2(A,C) ) ) ) ) ) )).
fof(t12_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_bhsp_3(A,B,C) & r1_bhsp_3(A,C,D) ) => r1_bhsp_3(A,B,D) ) ) ) ) ) )).
fof(t12_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),C,D) = k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k5_numbers) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_bhsp_4(A,k1_valued_0(u1_struct_0(A),B,1)),k2_normsp_1(A,k1_valued_0(u1_struct_0(A),k1_bhsp_4(A,B),1),C)) ) ) ) ) )).
fof(t12_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A),u1_struct_0(A)) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & m2_bhsp_5(C,A) ) => ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_tarski(C,k9_xtuple_0(D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k1_rlvect_1(A,E,k2_bhsp_1(A,B,E)) ) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(E)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,C) => k1_funct_1(E,F) = k1_square_1(k2_bhsp_1(A,B,F)) ) ) ) => k2_bhsp_1(A,k5_bhsp_5(u1_struct_0(A),u1_struct_0(A),u1_algstr_0(A),C,D),k5_bhsp_5(u1_struct_0(A),u1_struct_0(A),u1_algstr_0(A),C,D)) = k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,C,E) ) ) ) ) ) ) ) ) ) )).
fof(t12_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => r2_funct_2(u1_struct_0(B),u1_struct_0(A),k8_bilinear(A,B,C,k2_bilinear(A,B,C,D,E),F),k3_hahnban1(A,B,k8_bilinear(A,B,C,D,F),k8_bilinear(A,B,C,E,F))) ) ) ) ) ) ) )).
fof(t12_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( m1_subset_1(D,k5_margrel1) => ! [E] : ( m1_subset_1(E,k5_margrel1) => k3_binari_2(k2_xcmplx_0(A,1),k7_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))) = k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D))),k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))),k16_funcop_1(k4_ordinal1,k4_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))),k16_funcop_1(k4_ordinal1,k5_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))) ) ) ) ) ) )).
fof(t12_binari_3,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ( ~ ( k1_binarith(A,B) = k7_margrel1 & A != k7_margrel1 & B != k7_margrel1 ) & ( ( A = k7_margrel1 | B = k7_margrel1 ) => k1_binarith(A,B) = k7_margrel1 ) & ( k1_binarith(A,B) = k6_margrel1 => ( A = k6_margrel1 & B = k6_margrel1 ) ) & ( ( A = k6_margrel1 & B = k6_margrel1 ) => k1_binarith(A,B) = k6_margrel1 ) ) ) ) )).
fof(t12_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ( k7_partfun1(k5_margrel1,B,A) = k7_margrel1 => r1_xxreal_0(k5_series_1(2,k7_nat_d(A,1)),k6_binarith(A,B)) ) ) ) )).
fof(t12_binarith,axiom,( ! [A] : ( v1_xboolean(A) => k5_xboolean(A,A) = A ) )).
fof(t12_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k5_binom(A,B,k5_numbers) = k4_struct_0(A) & k6_binom(A,B,k5_numbers) = k4_struct_0(A) ) ) ) )).
fof(t12_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(C,A) => ( r6_binop_1(A,C,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(A,A,A,C,D,k2_binop_1(A,A,A,B,E,F)) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),k2_binop_1(A,A,A,C,D,F)) ) ) ) ) ) ) ) ) )).
fof(t12_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_lattices(A,B,C) & r1_boolealg(A,k4_lattices(A,C,D),k5_lattices(A)) ) => r1_boolealg(A,k4_lattices(A,B,D),k5_lattices(A)) ) ) ) ) ) )).
fof(t12_boolmark,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v4_petri(B,A) <=> ! [C] : ( m2_funct_2(C,u1_struct_0(A),k5_margrel1,k1_boolmark(A)) => ( k7_relat_1(C,B) = k6_domain_1(k5_margrel1,k6_margrel1) => ! [D] : ( m2_finseq_1(D,u4_struct_0(A)) => ( r2_boolmark(A,C,D) => k7_relat_1(k3_boolmark(A,C,D),B) = k6_domain_1(k5_margrel1,k6_margrel1) ) ) ) ) ) ) ) )).
fof(t12_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r2_funct_2(k4_ordinal1,k9_setfam_1(A),k6_setlim_1(A,B,C),k7_bor_cant(A,C)) & r2_funct_2(k4_ordinal1,k9_setfam_1(A),k5_setlim_1(A,B,C),k9_bor_cant(A,C)) ) ) ) ) )).
fof(t12_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => r1_tarski(k5_setfam_1(u1_struct_0(k2_borsuk_1(A,B)),k7_borsuk_1(A,B,C)),C) ) ) ) )).
fof(t12_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ( r2_borsuk_2(A,B,C) => r3_borsuk_2(A,B,C,D,D) ) ) ) ) ) )).
fof(t12_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( ( v3_pre_topc(C,k2_borsuk_1(B,A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) ) => r2_tarski(a_3_0_borsuk_3(A,B,C),u1_pre_topc(A)) ) ) ) )).
fof(t12_borsuk_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( A != B => k5_measure6(k3_rcomp_1(A,B)) = k1_rcomp_1(A,B) ) ) ) )).
fof(t12_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,B) ) => k4_subset_1(k1_numbers,k4_rcomp_1(k2_xxreal_0,C),k1_rcomp_1(A,B)) = k4_rcomp_1(k2_xxreal_0,B) ) ) ) ) )).
fof(t12_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( A = a_0_4_borsuk_6 & B = a_0_5_borsuk_6 ) => k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k2_jgraph_2(1,k5_numbers,k7_xcmplx_0(1,2),k4_xcmplx_0(k7_xcmplx_0(1,2))),A) = B ) ) ) )).
fof(t12_borsuk_7,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( ( k9_complex1(B) = k9_complex1(C) & k1_comptrig(B) = k2_xcmplx_0(k1_comptrig(C),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)) ) => B = C ) ) ) ) )).
fof(t12_brouwer,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_brouwer(B,C,A)),u1_struct_0(k2_brouwer(B,C,A))) & v5_pre_topc(D,k2_brouwer(B,C,A),k2_brouwer(B,C,A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(B,C,A)),u1_struct_0(k2_brouwer(B,C,A))))) ) => ( ~ v2_abian(D) => k2_partfun1(u1_struct_0(k2_brouwer(B,C,A)),u1_struct_0(k7_toprealb(B,C,A)),k5_brouwer(B,A,C,D),k3_topreal9(B,C,A)) = k3_struct_0(k7_toprealb(B,C,A)) ) ) ) ) ) )).
fof(t12_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v4_pre_topc(B,k15_euclid(A)) & v4_pre_topc(C,k15_euclid(A)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k1_pre_topc(k15_euclid(A),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k1_pre_topc(k15_euclid(A),C))))) ) => ( v3_tops_2(D,k1_pre_topc(k15_euclid(A),B),k1_pre_topc(k15_euclid(A),C)) => ( k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k1_pre_topc(k15_euclid(A),C)),D,k1_tops_1(k15_euclid(A),B)) = k1_tops_1(k15_euclid(A),C) & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k1_pre_topc(k15_euclid(A),C)),D,k2_tops_1(k15_euclid(A),B)) = k2_tops_1(k15_euclid(A),C) ) ) ) ) ) ) ) )).
fof(t12_bspace,axiom,( ! [A] : ! [B] : ! [C] : ( k3_bspace(A,B) = k3_bspace(A,C) <=> ( r2_tarski(B,A) <=> r2_tarski(C,A) ) ) )).
fof(t12_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k7_bvfunc_2(A,B,C,D),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,B,C,E),C,D)) ) ) ) ) ) )).
fof(t12_bvfunc14,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ! [E] : ( B != C => k1_funct_1(k1_funct_4(k1_funct_4(A,k17_funcop_1(B,D)),k17_funcop_1(C,E)),B) = D ) ) )).
fof(t12_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k6_bvfunc_1(A,B,B),k11_bvfunc_1(A)) ) ) )).
fof(t12_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),D),k5_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t12_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_eqrel_1(D,A) => r1_bvfunc_1(A,C,k7_bvfunc_2(A,C,B,D)) ) ) ) ) )).
fof(t12_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k2_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k6_bvfunc_2(A,D,B,E)),k7_bvfunc_2(A,k2_bvfunc_1(A,C,D),B,E)) ) ) ) ) ) )).
fof(t12_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,D,E),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,E)),k12_bvfunc_1(A)) ) ) ) ) ) ) )).
fof(t12_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k1_bvfunc_1(A,k2_bvfunc_1(A,C,D)),k1_bvfunc_1(A,k2_bvfunc_1(A,B,D)))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t12_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,B,k5_bvfunc_1(A,C,D)),k5_bvfunc_1(A,k2_bvfunc_1(A,B,C),k2_bvfunc_1(A,B,D))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t12_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_c0sp1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_c0sp1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_c0sp1(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( E = B & F = C & G = D ) => ( D = k3_rlvect_1(k7_c0sp1(A),B,C) <=> ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,k1_numbers,G,H) = k3_real_1(k3_funct_2(A,k1_numbers,E,H),k3_funct_2(A,k1_numbers,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k1_c0sp2(A,k5_numbers) = k4_struct_0(k5_c0sp2(A)) ) )).
fof(t12_calcul_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,k5_numbers) => k1_relset_1(k4_ordinal1,k14_finseq_1(k2_xboole_0(k2_finseq_1(B),k1_tarski(k2_xcmplx_0(B,A))))) = k2_finseq_1(k1_nat_1(B,1)) ) ) ) )).
fof(t12_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => k2_relset_1(k4_ordinal1,k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)))) = k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)) ) ) ) )).
fof(t12_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ! [D] : ( ( r2_tarski(C,k2_cantor_1(A,B)) & r2_tarski(D,k2_cantor_1(A,B)) ) => r2_tarski(k3_xboole_0(C,D),k2_cantor_1(A,B)) ) ) )).
fof(t12_card_1,axiom,( ! [A] : ! [B] : ( r1_ordinal1(k1_card_1(A),k1_card_1(B)) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & k9_xtuple_0(C) = B & r1_tarski(A,k10_xtuple_0(C)) ) ) )).
fof(t12_card_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( r2_wellord2(E,G) & r2_wellord2(F,H) ) => ( A = B | C = D | ( r2_wellord2(k2_xboole_0(k2_zfmisc_1(E,k1_tarski(A)),k2_zfmisc_1(F,k1_tarski(B))),k2_xboole_0(k2_zfmisc_1(G,k1_tarski(C)),k2_zfmisc_1(H,k1_tarski(D)))) & k1_card_1(k2_xboole_0(k2_zfmisc_1(E,k1_tarski(A)),k2_zfmisc_1(F,k1_tarski(B)))) = k1_card_1(k2_xboole_0(k2_zfmisc_1(G,k1_tarski(C)),k2_zfmisc_1(H,k1_tarski(D)))) ) ) ) )).
fof(t12_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,k9_xtuple_0(B)) => ( k4_card_3(B) = k1_xboole_0 | k5_card_3(A,k4_card_3(B)) = k1_funct_1(B,A) ) ) ) )).
fof(t12_card_4,axiom,( ! [A] : ( ( v4_card_3(A) & ! [B] : ( r2_tarski(B,A) => v4_card_3(B) ) ) => v4_card_3(k3_tarski(A)) ) )).
fof(t12_card_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => k5_relat_1(k1_ordinal4(A,B),k9_xtuple_0(A)) = A ) ) )).
fof(t12_card_fil,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( r1_card_fil(B,A,C) => r2_card_fil(B,A,k7_setfam_1(B,C)) ) ) ) ) )).
fof(t12_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ! [C] : k4_card_1(k1_card_fin(A,k4_card_1(A),B,C)) = 1 ) )).
fof(t12_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,A) => ( v2_card_lar(k6_subset_1(A,B),A) & v1_card_lar(k6_subset_1(A,B),A) ) ) ) ) )).
fof(t12_cardfin2,axiom,( ! [A] : k2_cardfin2(k1_tarski(A)) = k1_xboole_0 )).
fof(t12_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k3_cat_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_cat_1(A,B))) => ! [E] : ( m1_subset_1(E,u4_struct_0(k3_cat_1(A,B))) => m1_cat_1(E,k3_cat_1(A,B),C,D) ) ) ) )).
fof(t12_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => m3_cat_2(A,A) ) )).
fof(t12_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ( A != B => ! [D] : ( m1_subset_1(D,u4_struct_0(k2_oppcat_1(C))) => ! [E] : ( m1_subset_1(E,u4_struct_0(k2_oppcat_1(C))) => r2_funct_2(k2_tarski(A,B),u4_struct_0(C),k5_cat_3(C,k2_tarski(A,B),k5_funct_4(u4_struct_0(k2_oppcat_1(C)),A,B,D,E)),k5_funct_4(u4_struct_0(C),A,B,k6_oppcat_1(C,D),k6_oppcat_1(C,E))) ) ) ) ) )).
fof(t12_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_cat_1(C,A,B,k1_cat_4(A)) => ! [D] : ( m1_cat_1(D,A,B,k1_cat_4(A)) => C = D ) ) ) ) )).
fof(t12_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) ) ) )).
fof(t12_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v6_cat_6(A) <=> v6_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) )).
fof(t12_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v9_cat_6(B) & v10_cat_6(B) & l1_cat_6(B) ) => ( r2_cat_6(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v16_cat_6(C,A,B) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) )).
fof(t12_catalan1,axiom,( k1_catalan1(2) = 1 )).
fof(t12_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( ( v1_catalan2(B) & k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(B,A))) = A & B = k1_catalan2(k5_relat_1(B,A),C) ) => v1_catalan2(C) ) ) ) ) )).
fof(t12_catalg_1,axiom,( ! [A] : ! [B] : ( k5_catalg_1(A) = k5_catalg_1(B) => A = B ) )).
fof(t12_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_cayldick(A))) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B = k6_afinsq_1(C,D) ) ) ) ) )).
fof(t12_cayley,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_funct_2(C,A,B) => v2_funct_2(k3_cayley(A,B,C),u1_struct_0(k2_cayley(B))) ) ) ) ) )).
fof(t12_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k2_numbers,B,A)) => r2_funct_2(A,k2_numbers,k4_cc0sp1(A,B),B) ) ) ) )).
fof(t12_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_cc0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_cc0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_cc0sp2(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k2_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k2_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k2_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ( ( E = B & F = C & G = D ) => ( D = k8_group_1(k3_cc0sp2(A),B,C) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,G,H) = k3_xcmplx_0(k3_funct_2(u1_struct_0(A),k2_numbers,E,H),k3_funct_2(u1_struct_0(A),k2_numbers,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & v5_valued_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r1_tarski(k2_relset_1(k2_numbers,A),k1_relset_1(k2_numbers,B)) => r2_relset_1(k4_ordinal1,k1_numbers,k7_comseq_3(k9_comseq_3(C,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,B))),k7_comseq_3(k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,k9_comseq_3(C,A),B))) ) ) ) ) )).
fof(t12_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) => ( v6_cfdiff_1(A) <=> ! [B] : ( v1_xcmplx_0(B) => ~ ( r2_hidden(B,A) & ! [C] : ( m1_cfdiff_1(C,B) => ~ r1_tarski(C,A) ) ) ) ) ) )).
fof(t12_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => r2_funct_2(A,k2_numbers,k2_funcsdom(A,k2_numbers,k2_numbers,k9_funct_2(A,k2_numbers),k3_cfuncdom(A),k1_domain_1(k2_numbers,k9_funct_2(A,k2_numbers),k6_complex1,B)),B) ) ) )).
fof(t12_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k8_relset_1(A,k2_numbers,k25_valued_1(A,k2_numbers,B,C),k1_tarski(k5_numbers)) = k8_relset_1(A,k2_numbers,B,k1_tarski(k5_numbers)) ) ) ) ) )).
fof(t12_cgames_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v2_cgames_1(B) => ( r2_tarski(B,k2_cgames_1(A)) <=> r1_ordinal1(k9_cgames_1(B),A) ) ) ) )).
fof(t12_chain_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ? [B] : ( m1_subset_1(B,k1_numbers) & r2_tarski(B,A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(B,C) ) ) ) ) )).
fof(t12_chord,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => ~ ( r1_xxreal_0(A,5) & A != k5_numbers & A != 2 & A != 4 ) ) )).
fof(t12_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(A,D))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(B,E))) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(C,F))) => ( ( G = k5_relat_1(I,u1_struct_0(A)) & H = k5_relat_1(I,u1_struct_0(B)) & v1_circuit2(G,A,D) & v1_circuit2(H,B,E) ) => v1_circuit2(I,C,F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r2_tarski(C,k2_msafree2(k2_circcomb(A,B))) => r2_tarski(C,k2_msafree2(B)) ) ) ) ) )).
fof(t12_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v3_rltopsp1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,C) => r1_tarski(k2_circled1(A,B),C) ) ) ) ) )).
fof(t12_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m3_msaterm(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(k1_circtrm1(A,B,C))) => D = k4_trees_4(k1_funct_1(D,k1_xboole_0),k1_msualg_1(k1_circtrm1(A,B,C),D)) ) ) ) ) )).
fof(t12_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => ~ ( r2_tarski(C,k7_subset_1(u1_struct_0(A),k3_msafree2(A),k1_msafree2(A))) & k4_card_1(D) = k4_circuit1(A,B,C) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) ) => D != k4_trees_4(k4_tarski(k4_msafree2(A,C),u1_struct_0(A)),E) ) ) ) ) ) ) )).
fof(t12_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_msafree2(D,A,B) => ( r1_tarski(D,C) => r1_tarski(D,k6_circuit2(A,B,C)) ) ) ) ) ) )).
fof(t12_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( v1_xreal_0(D) => ( ( v1_pdiff_7(C,A) & B = k7_funcop_1(C,D) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r2_tarski(E,C) => ( r1_pdiff_7(A,B,E) & r1_funct_2(k1_euclid(A),k1_numbers,k1_euclid(A),k4_ordinal1,k1_pdiff_7(A,B,E),k8_funcop_1(k4_ordinal1,k1_euclid(A),k5_numbers)) ) ) ) ) ) ) ) ) )).
fof(t12_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( r2_tarski(B,k3_classes1(A,C)) => r2_tarski(k9_setfam_1(B),k3_classes1(A,k1_ordinal1(C))) ) ) )).
fof(t12_classes2,axiom,( ! [A] : ! [B] : ( r2_tarski(A,k1_classes1(B)) => r2_tarski(k1_card_1(A),k1_classes1(B)) ) )).
fof(t12_clopban1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_clopban1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_clopban1(A,B))) => ! [E] : ( v1_xcmplx_0(E) => ( D = k1_clvect_1(k3_clopban1(A,B),C,E) <=> ! [F] : ( m1_subset_1(F,A) => k4_clopban1(A,B,D,F) = k1_clvect_1(B,k4_clopban1(A,B,C,F),E) ) ) ) ) ) ) ) )).
fof(t12_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k6_clopban1(A,A)),k8_clopban1(A,A)) => ! [D] : ( v1_xcmplx_0(D) => k4_clopban2(A,k3_clopban2(A,C,B),D) = k3_clopban2(A,C,k4_clopban2(A,B,D)) ) ) ) ) )).
fof(t12_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(B) => v9_clvect_1(B,A) ) ) ) )).
fof(t12_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,B,D)),k8_nat_1(k1_numbers,C,D)) ) & v2_comseq_2(C) & k1_seq_2(C) = k5_numbers ) => ( v9_clvect_1(B,A) & k7_clvect_1(A,B) = k4_struct_0(A) ) ) ) ) ) )).
fof(t12_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_closure1(k2_msualg_3(A,k5_mssubfam(A,B)),A,B) & m2_pboole(k2_msualg_3(A,k5_mssubfam(A,B)),A,k5_mssubfam(A,B),k5_mssubfam(A,B)) ) ) )).
fof(t12_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_closure2(C,A,B,k2_closure2(A,B)) => ! [D] : ( m1_closure2(D,A,B,k2_closure2(A,B)) => r2_tarski(k5_pboole(A,C,D),k2_closure2(A,B)) ) ) ) )).
fof(t12_closure3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => r2_pboole(A,k2_closure3(A,B,k4_closure3(A,B,C,D)),k3_pboole(A,k2_closure3(A,B,C),k2_closure3(A,B,D))) ) ) ) )).
fof(t12_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k1_clvect_1(A,B,C) = k1_clvect_1(A,B,D) => ( B = k4_struct_0(A) | C = D ) ) ) ) ) ) )).
fof(t12_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(B,A) => ( ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & k8_nat_1(u1_struct_0(A),C,E) != k8_nat_1(u1_struct_0(A),B,E) ) ) | k1_clvect_2(A,B) = k1_clvect_2(A,C) ) ) ) ) ) )).
fof(t12_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,C,D) = k1_normsp_0(A,B,k5_numbers) ) => k1_bhsp_4(A,k1_valued_0(u1_struct_0(A),B,1)) = k2_normsp_1(A,k1_valued_0(u1_struct_0(A),k1_bhsp_4(A,B),1),C) ) ) ) ) )).
fof(t12_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k1_coh_sp(k2_coh_sp(A,B)) = B ) )).
fof(t12_cohsp_1,axiom,( ! [A] : ( v1_cohsp_1(k5_finsub_1(A)) & v2_cohsp_1(k5_finsub_1(A)) ) )).
fof(t12_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_collsp(A,B,C,D) ) ) ) ) ) )).
fof(t12_combgras,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | ! [C] : ( m1_subset_1(C,u1_incsp_1(k1_combgras(A,B))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k1_combgras(A,B))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k1_combgras(A,B))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k1_combgras(A,B))) => ! [G] : ( m1_subset_1(G,u1_incsp_1(k1_combgras(A,B))) => ! [H] : ( m1_subset_1(H,u1_incsp_1(k1_combgras(A,B))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k1_combgras(A,B))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k1_combgras(A,B))) => ! [K] : ( m1_subset_1(K,u2_incsp_1(k1_combgras(A,B))) => ! [L] : ( m1_subset_1(L,u2_incsp_1(k1_combgras(A,B))) => ~ ( r1_incsp_1(k1_combgras(A,B),C,I) & r1_incsp_1(k1_combgras(A,B),D,I) & r1_incsp_1(k1_combgras(A,B),E,J) & r1_incsp_1(k1_combgras(A,B),F,J) & r1_incsp_1(k1_combgras(A,B),G,I) & r1_incsp_1(k1_combgras(A,B),G,J) & r1_incsp_1(k1_combgras(A,B),C,K) & r1_incsp_1(k1_combgras(A,B),E,K) & r1_incsp_1(k1_combgras(A,B),D,L) & r1_incsp_1(k1_combgras(A,B),F,L) & ~ r1_incsp_1(k1_combgras(A,B),G,K) & ~ r1_incsp_1(k1_combgras(A,B),G,L) & I != J & K != L & ! [M] : ( m1_subset_1(M,u1_incsp_1(k1_combgras(A,B))) => ~ ( r1_incsp_1(k1_combgras(A,B),M,K) & r1_incsp_1(k1_combgras(A,B),M,L) & M = k2_xboole_0(k3_xboole_0(C,D),k3_xboole_0(E,F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) => ( C = k2_relset_1(k9_setfam_1(u1_struct_0(A)),B) => ( ( v6_compl_sp(B,A) => v1_tops_2(C,k3_pcomps_1(A)) ) & ( v7_compl_sp(B,A) => v2_tops_2(C,k3_pcomps_1(A)) ) ) ) ) ) ) )).
fof(t12_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k3_complex1(k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1))) = A & k4_complex1(k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1))) = B ) ) ) )).
fof(t12_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => B = k5_algstr_0(k1_complfld,k3_rlvect_1(k1_complfld,B,A),A) ) ) )).
fof(t12_compos_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_compos_0(B) & v2_compos_0(B) & v3_compos_0(B) & v5_compos_0(B) ) => ! [C] : ( m1_subset_1(C,B) => ( k8_compos_0(B,C,A) = k9_compos_0(B) => C = k9_compos_0(B) ) ) ) ) )).
fof(t12_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => k4_card_1(k3_compos_2(A,B,C)) = 3 ) ) ) )).
fof(t12_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) => r1_xxreal_0(k5_numbers,k1_funct_1(k18_sin_cos,A)) ) ) )).
fof(t12_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v8_pre_topc(A) & v1_compts_1(A) ) => v9_pre_topc(A) ) ) )).
fof(t12_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) & v1_comput_1(A) ) => k9_xtuple_0(k3_tarski(A)) = k3_tarski(a_1_0_comput_1(A)) ) )).
fof(t12_comseq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C),A),k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,B,A),C)) ) ) ) )).
fof(t12_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(A) => k3_comseq_2(k2_comseq_2(k4_ordinal1,A)) = k8_complex1(k3_comseq_2(A)) ) ) )).
fof(t12_comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => r1_xxreal_0(k9_complex1(A),k2_xcmplx_0(k9_complex1(k3_complex1(A)),k9_complex1(k4_complex1(A)))) ) )).
fof(t12_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_waybel_1(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( C = k1_waybel_1(A,B,D,E) => ( v2_conlat_1(C,A,B) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( r3_orders_2(A,F,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,G)) <=> r3_orders_2(B,G,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( v8_lattice6(k2_relset_1(u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A)),k11_conlat_1(A)) & v9_lattice6(k2_relset_1(u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A)),k11_conlat_1(A)) ) ) )).
fof(t12_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( ( v7_conmetr(A) & v5_conmetr(A) ) => v6_conmetr(A) ) ) )).
fof(t12_conmetr1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v6_conmetr1(A) => v5_conmetr1(A) ) ) )).
fof(t12_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B != k1_struct_0(A) & B != k2_struct_0(A) & r1_xboole_0(k2_pre_topc(A,B),k2_pre_topc(A,k7_subset_1(u1_struct_0(A),k2_struct_0(A),B))) ) ) ) ) )).
fof(t12_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => r1_tarski(k1_connsp_1(B,D),k1_connsp_1(A,C)) ) ) ) ) ) )).
fof(t12_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(B,A) & v2_connsp_1(C,A) & r1_tarski(B,C) ) => ( B = k1_xboole_0 | k1_connsp_3(A,B) = k1_connsp_3(A,C) ) ) ) ) ) )).
fof(t12_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_tarski(k1_convex1(A,B,k2_xcmplx_0(C,D)),k6_rusub_4(A,k1_convex1(A,B,C),k1_convex1(A,B,D))) ) ) ) ) )).
fof(t12_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v2_convex1(B,A) & m1_rlvect_2(B,A) ) => ! [C] : ( ( v2_convex1(C,A) & m1_rlvect_2(C,A) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ~ r1_xxreal_0(k3_xcmplx_0(D,E),k5_numbers) => k3_rlvect_2(A,k7_rlvect_2(A,k8_rlvect_2(A,D,B),k8_rlvect_2(A,E,C))) = k4_subset_1(u1_struct_0(A),k3_rlvect_2(A,k8_rlvect_2(A,D,B)),k3_rlvect_2(A,k8_rlvect_2(A,E,C))) ) ) ) ) ) ) )).
fof(t12_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B != k1_xboole_0 => ( v6_clvect_1(B,A) <=> ! [C] : ( m2_convex4(C,A,B) => r2_tarski(k4_convex4(A,C),B) ) ) ) ) ) )).
fof(t12_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => m2_subset_1(k4_qc_lang2(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) ) ) )).
fof(t12_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => r2_qc_lang2(A,B,k11_cqc_lang(A,C,B)) ) ) ) )).
fof(t12_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => r2_tarski(k8_cqc_lang(A,k11_cqc_lang(A,D,C),C),k1_cqc_the1(A,B)) ) ) ) ) )).
fof(t12_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => k13_cqc_lang(A,k2_qc_lang2(A,B,C),D) = k2_qc_lang2(A,k13_cqc_lang(A,B,D),k13_cqc_lang(A,C,D)) ) ) ) ) )).
fof(t12_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r1_tarski(B,C) => r2_cqc_the3(A,C,B) ) ) ) ) )).
fof(t12_csspace,axiom,( v6_clvect_1(k9_csspace,k5_csspace) )).
fof(t12_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,k1_funct_1(k7_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k2_comseq_2(k4_ordinal1,A))),B)) & k1_funct_1(k8_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k2_comseq_2(k4_ordinal1,A))),B) = k5_numbers ) ) ) )).
fof(t12_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_csspace4(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => v4_xxreal_2(k7_csspace4(A,B,C)) ) ) ) )).
fof(t12_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( v1_dblseq_1(A) & v1_dblseq_1(B) ) => ( v1_dblseq_1(k47_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)) & k1_dblseq_1(k47_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)) = k6_xcmplx_0(k1_dblseq_1(A),k1_dblseq_1(B)) ) ) ) ) )).
fof(t12_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => r2_funct_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k4_dblseq_2(A),k3_dblseq_2(k2_dblseq_2(A))) ) )).
fof(t12_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k7_decomp_1(A),k16_decomp_1(A)) = k6_decomp_1(A) ) )).
fof(t12_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k8_descip_1(A,B,k3_finseq_1(B)) = B ) ) ) )).
fof(t12_dickson,axiom,( ! [A] : ( v1_relat_1(A) => ( A = k3_dickson(A) <=> v5_relat_2(A) ) ) )).
fof(t12_diff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v7_ordinal1(C) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) )).
fof(t12_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_diff_2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,F,G),A,B,C,D,E) = k2_xcmplx_0(k1_diff_2(F,A,B,C,D,E),k1_diff_2(G,A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(t12_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(E,C),B),C),A),D) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(E,C),k2_xcmplx_0(B,A)),D) ) ) ) ) ) )).
fof(t12_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k2_fdiff_9)) & r2_tarski(k6_xcmplx_0(B,A),k1_relset_1(k1_numbers,k2_fdiff_9)) ) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k2_fdiff_9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2,B),A))),k17_sin_cos(A)),k1_square_1(k6_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2,B),A)),k19_sin_cos(A))))) ) ) ) )).
fof(t12_dilworth,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r5_waybel_4(A,B,C) & r1_orders_2(A,D,C) ) => ( v1_dilworth(k2_xboole_0(B,k1_tarski(D)),A) & m1_subset_1(k2_xboole_0(B,k1_tarski(D)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) ) )).
fof(t12_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_diraf(A,B,C,D) & r1_diraf(A,C,D,E) ) => ( C = D | r1_diraf(A,B,D,E) ) ) ) ) ) ) ) )).
fof(t12_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ( v2_dirort(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_dirort(A,B,C,D,E) & r2_dirort(A,D,E,F,G) ) => ( D = E | r2_dirort(A,B,C,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => k1_funct_1(k7_dist_1(A),k5_dist_1(A,B)) = k4_dist_1(A,B) ) ) )).
fof(t12_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k4_finseq_1(B))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( D = k19_finseq_1(C) => k3_relat_1(k2_funct_1(D),k5_dist_2(A,B,C)) = k2_partfun1(k4_ordinal1,A,B,C) ) ) ) ) ) )).
fof(t12_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ( A = k4_zfmisc_1(B,C,D,E) <=> ! [F] : ( r2_tarski(F,A) <=> ? [G] : ( m1_subset_1(G,B) & ? [H] : ( m1_subset_1(H,C) & ? [I] : ( m1_subset_1(I,D) & ? [J] : ( m1_subset_1(J,E) & F = k6_xtuple_0(G,H,I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_dtconstr,axiom,( ! [A] : ( v7_ordinal1(A) => A = k3_funct_2(k4_dtconstr(k5_dtconstr),k4_ordinal1,k12_dtconstr,k8_nat_1(k4_dtconstr(k5_dtconstr),k14_dtconstr,A)) ) )).
fof(t12_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_dualsp01(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_dualsp01(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_dualsp01(A))) => ( D = k3_rlvect_1(k8_dualsp01(A),B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k9_dualsp01(A,D,E) = k2_xcmplx_0(k9_dualsp01(A,B,E),k9_dualsp01(A,C,E)) ) ) ) ) ) ) )).
fof(t12_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) <=> ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_dualsp02)) & v13_vectsp_1(B,A,k3_dualsp02) & v1_lopban_1(B,A,k3_dualsp02) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_dualsp02)))) ) ) ) )).
fof(t12_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ( ! [C] : ( r2_tarski(C,B) => m1_dynkin(C,A) ) => m1_dynkin(k1_setfam_1(B),A) ) ) ) )).
fof(t12_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => k1_sysrel(u1_e_siec(A)) = k1_sysrel(u2_e_siec(A)) ) )).
fof(t12_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => 1 = k5_struct_0(k9_int_3(A)) ) )).
fof(t12_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k8_group_1(A,k8_group_1(A,k8_group_1(A,k8_group_1(A,k8_group_1(A,B,C),D),E),F),G) = k8_group_1(A,B,k8_group_1(A,k8_group_1(A,k8_group_1(A,k8_group_1(A,C,D),E),F),G)) & k8_group_1(A,k8_group_1(A,k8_group_1(A,k8_group_1(A,k8_group_1(A,B,C),D),E),F),G) = k8_group_1(A,k8_group_1(A,k8_group_1(A,B,k8_group_1(A,k8_group_1(A,C,D),E)),F),G) ) ) ) ) ) ) ) ) )).
fof(t12_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k1_endalg(A)) => m2_pboole(k17_funcop_1(k5_numbers,B),u1_struct_0(k6_msualg_1(A)),u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A)),u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A))) ) ) )).
fof(t12_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => ( k3_ens_1(A,C) = k4_ens_1(A,B) => ( k2_xfamily(k6_ens_1(A,B,C)) = k3_relat_1(k2_xfamily(B),k2_xfamily(C)) & k3_ens_1(A,k6_ens_1(A,B,C)) = k3_ens_1(A,B) & k4_ens_1(A,k6_ens_1(A,B,C)) = k4_ens_1(A,C) ) ) ) ) ) )).
fof(t12_entropy1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & r1_entropy1(B,A) ) => ( r1_entropy1(k14_rvsum_1(B,C),A) & k1_funct_1(k14_rvsum_1(B,C),A) = k3_xcmplx_0(k1_funct_1(B,A),k1_funct_1(C,A)) ) ) ) ) ) )).
fof(t12_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_tarski(A,B),k2_enumset1(C,D,E,F)) )).
fof(t12_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ? [C] : ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) & r1_relset_1(A,A,B,C) & ! [D] : ( ( v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r1_relset_1(A,A,B,D) => r1_relset_1(A,A,C,D) ) ) ) ) )).
fof(t12_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,k9_pboole(A,C,B),k2_funct_6(B)) ) ) )).
fof(t12_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k12_euclid(k7_euclid(A,B,C)),k2_xcmplx_0(k12_euclid(B),k12_euclid(C))) ) ) ) )).
fof(t12_euclid10,axiom,( ! [A] : ( v1_xreal_0(A) => k19_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),3),A)) = k4_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,3),A))) ) )).
fof(t12_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k1_square_1(k12_euclid(k8_rvsum_1(A,B))) = k2_xcmplx_0(k6_xcmplx_0(k1_square_1(k12_euclid(A)),k3_xcmplx_0(2,k22_rvsum_1(B,A))),k1_square_1(k12_euclid(B))) ) ) ) )).
fof(t12_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k2_xcmplx_0(k17_euclid(k4_algstr_0(k15_euclid(2),A)),k3_xcmplx_0(k18_euclid(k4_algstr_0(k15_euclid(2),A)),k7_complex1)) = k2_xcmplx_0(k4_xcmplx_0(k17_euclid(A)),k3_xcmplx_0(k4_xcmplx_0(k18_euclid(A)),k7_complex1)) ) )).
fof(t12_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ~ ( v1_euclid_4(B,A) & v1_euclid_4(C,A) & r2_tarski(D,B) & r2_tarski(E,B) & r2_tarski(D,C) & r2_tarski(E,C) & D != E & B != C ) ) ) ) ) ) )).
fof(t12_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => k5_algstr_0(k15_euclid(3),A,B) = k4_euclid_5(k6_xcmplx_0(k1_euclid_5(A),k1_euclid_5(B)),k6_xcmplx_0(k2_euclid_5(A),k2_euclid_5(B)),k6_xcmplx_0(k3_euclid_5(A),k3_euclid_5(B))) ) ) )).
fof(t12_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,C)) & B != C & D != A & ~ r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,C)) & ~ r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) ) ) )).
fof(t12_euclid_7,axiom,( v1_funct_1(k12_finseq_1(k4_ordinal1,1)) & v1_funct_2(k12_finseq_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,1)) & v3_funct_2(k12_finseq_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,1)) & m1_subset_1(k12_finseq_1(k4_ordinal1,1),k1_zfmisc_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1,1),k6_domain_1(k4_ordinal1,1)))) )).
fof(t12_euclid_8,axiom,( k22_rvsum_1(k4_euclid_8,k4_euclid_8) = 1 )).
fof(t12_euclid_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(k5_numbers))) => k4_euclid_9(k5_numbers,B,A) = k1_tarski(k1_xboole_0) ) ) )).
fof(t12_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => ( k9_euclid(B,k8_euclid(B,C,D),A) = k7_euclid(B,k9_euclid(B,C,A),k6_euclid(B,k9_euclid(B,D,A))) & k9_euclid(B,k8_euclid(B,C,D),A) = k7_euclid(B,k9_euclid(B,C,A),k9_euclid(B,D,k4_xcmplx_0(A))) & k9_euclid(B,k8_euclid(B,C,D),A) = k8_euclid(B,k9_euclid(B,C,A),k9_euclid(B,D,A)) ) ) ) ) ) )).
fof(t12_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v5_euclmetr(A) <=> v5_conmetr(A) ) ) )).
fof(t12_euler_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k5_int_1(k2_xcmplx_0(A,k3_xcmplx_0(B,C)),C) = k5_int_1(A,C) ) ) ) )).
fof(t12_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( k4_nat_d(k3_xcmplx_0(A,C),B) = k4_nat_d(C,B) & r1_int_2(B,C) ) => ( A = k5_numbers | r1_xxreal_0(B,1) | k4_nat_d(A,B) = 1 ) ) ) ) ) )).
fof(t12_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v2_exchsort(A,k2_ordinal2(k9_xtuple_0(A))) ) )).
fof(t12_extens_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( v2_msualg_3(D,A,B,C) <=> ! [E] : ( ( v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ! [F] : ( m2_pboole(F,A,C,E) => ! [G] : ( m2_pboole(G,A,C,E) => ( r6_pboole(A,k3_msualg_3(A,B,C,E,D,F),k3_msualg_3(A,B,C,E,D,G)) => r6_pboole(A,F,G) ) ) ) ) ) ) ) ) )).
fof(t12_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(B)) & v1_funct_1(D) ) => ( r1_tarski(k17_funcop_1(C,k2_compos_1(B)),D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) & v5_memstr_0(E,A,B,C) ) => v4_extpro_1(E,A,B,D) ) ) ) ) ) ) )).
fof(t12_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( A = B => k3_extreal1(A) = k9_complex1(B) ) ) ) )).
fof(t12_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( v7_ordinal1(D) => k5_facirc_1(A,B,C,k1_nat_1(D,1)) = k6_circuit2(A,B,k5_facirc_1(A,B,C,D)) ) ) ) ) )).
fof(t12_facirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( k3_facirc_2(k1_nat_1(A,1),B,C) = k2_circcomb(k3_facirc_2(A,B,C),k19_facirc_1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k5_facirc_2(A,B,C))) & k4_facirc_2(k1_nat_1(A,1),B,C) = k3_circcomb(k3_facirc_2(A,B,C),k19_facirc_1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k5_facirc_2(A,B,C)),k4_facirc_2(A,B,C),k20_facirc_1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k5_facirc_2(A,B,C))) & k5_facirc_2(k1_nat_1(A,1),B,C) = k17_facirc_1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k5_facirc_2(A,B,C)) ) ) ) ) )).
fof(t12_fcont_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) & r1_fcont_1(B,A) & r1_fcont_1(C,k1_funct_1(B,A)) ) => r1_fcont_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t12_fcont_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_rcomp_1(A) & v1_fcont_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => v1_rcomp_1(k7_relset_1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t12_fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_rfunct_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => ( ! [C] : ( v1_xreal_0(C) => k7_relset_1(k1_numbers,k1_numbers,B,A) != k3_limfunc1(C) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t12_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_rcomp_1(C,B) => ( ( r1_fdiff_1(A,B) & r1_tarski(C,k1_relset_1(k1_numbers,A)) ) => ! [D] : ( ( v1_funct_1(D) & v9_ordinal1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(B) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,A)))) & k1_fdiff_1(A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,A)))) ) ) ) ) ) ) ) ) )).
fof(t12_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k26_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k26_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k26_sin_cos),A),B) = k2_xcmplx_0(k1_funct_1(k16_sin_cos,B),k7_xcmplx_0(k1_funct_1(k16_sin_cos,B),k1_square_1(k1_funct_1(k18_sin_cos,B)))) ) ) ) ) ) )).
fof(t12_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k2_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k2_sin_cos9,B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k2_sin_cos9,B)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k2_sin_cos9),A),B) = k7_xcmplx_0(1,k3_xcmplx_0(k2_xcmplx_0(1,k1_square_1(B)),k2_xcmplx_0(1,k1_square_1(k1_funct_1(k2_sin_cos9,B))))) ) ) ) ) ) )).
fof(t12_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ( r1_fdiff_1(C,A) & k1_fdiff_1(C,A) = B ) => ( ? [D] : ( m1_rcomp_1(D,A) & r1_tarski(D,k1_relset_1(k1_numbers,C)) ) & ! [D] : ( ( v1_funct_1(D) & v9_ordinal1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),k1_relset_1(k1_numbers,C)) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),C),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,C)))) & k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),C),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,C)))) = B ) ) ) ) ) ) & ( ! [D] : ( ( v1_funct_1(D) & v9_ordinal1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(A) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),k1_relset_1(k1_numbers,C)) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),C),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,C)))) & k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),C),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,C)))) = B ) ) ) ) => ( ! [D] : ( m1_rcomp_1(D,A) => ~ r1_tarski(D,k1_relset_1(k1_numbers,C)) ) | ( r1_fdiff_1(C,A) & k1_fdiff_1(C,A) = B ) ) ) ) ) ) ) )).
fof(t12_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r4_fdiff_3(A,C) & r4_fdiff_3(B,C) ) => ( r4_fdiff_3(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) & k1_fdiff_3(C,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)) = k2_xcmplx_0(k3_xcmplx_0(k1_fdiff_3(C,A),k1_funct_1(B,C)),k3_xcmplx_0(k1_fdiff_3(C,B),k1_funct_1(A,C))) ) ) ) ) ) )).
fof(t12_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)))) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(E,G) = k2_xcmplx_0(A,k3_xcmplx_0(B,G)) ) ) & F = k1_taylor_1(2) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),D) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),D),G) = k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),G)) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_fdiff_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k18_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A))))) & r1_xxreal_0(1,A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(A,D) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k18_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A))),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k18_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A))),B),D) = k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k18_sin_cos,D),k6_xcmplx_0(A,1))),k1_funct_1(k16_sin_cos,k3_xcmplx_0(k2_xcmplx_0(A,1),D)))) ) ) ) ) ) ) ) )).
fof(t12_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),D),k7_xcmplx_0(1,k3_power(k4_power,A))))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => ( k1_funct_1(C,E) = k3_xcmplx_0(E,k3_power(k4_power,A)) & k1_funct_1(D,E) = k6_xcmplx_0(E,k7_xcmplx_0(1,k3_power(k4_power,A))) ) ) ) ) => ( r1_xxreal_0(A,k5_numbers) | A = 1 | ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),D),k7_xcmplx_0(1,k3_power(k4_power,A))),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),D),k7_xcmplx_0(1,k3_power(k4_power,A))),B),E) = k3_xcmplx_0(E,k6_prepower(A,E)) ) ) ) ) ) ) ) ) ) )).
fof(t12_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(2)),k7_xcmplx_0(1,2)))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(2)),k7_xcmplx_0(1,2)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(2)),k7_xcmplx_0(1,2)),A),B) = k7_xcmplx_0(k1_funct_1(k1_sin_cos6,B),k3_square_1(k6_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t12_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k26_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k26_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k26_sin_cos),A),B) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k22_sin_cos,B)))) ) ) ) ) ) )).
fof(t12_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9),A),B) = k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k16_sin_cos,k1_funct_1(k22_sin_cos,B))),k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k22_sin_cos,B)))) ) ) ) ) ) )).
fof(t12_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k3_relat_1(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k4_relat_1(u1_struct_0(A))) = k5_relat_1(k1_net_1(A),u4_struct_0(A)) & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k4_relat_1(u1_struct_0(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)) & k3_relat_1(k4_relat_1(u4_struct_0(A)),k5_relat_1(k1_net_1(A),u4_struct_0(A))) = k5_relat_1(k1_net_1(A),u4_struct_0(A)) & k3_relat_1(k4_relat_1(u4_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)) & k3_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))) = k5_relat_1(k1_net_1(A),u1_struct_0(A)) & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)) & k3_relat_1(k4_relat_1(u1_struct_0(A)),k5_relat_1(k1_net_1(A),u1_struct_0(A))) = k5_relat_1(k1_net_1(A),u1_struct_0(A)) & k3_relat_1(k4_relat_1(u1_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)) & k3_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))) = k5_relat_1(k1_net_1(A),u1_struct_0(A)) & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)) & k3_relat_1(k4_relat_1(u4_struct_0(A)),k5_relat_1(k1_net_1(A),u1_struct_0(A))) = k1_xboole_0 & k3_relat_1(k4_relat_1(u4_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k4_relat_1(u1_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k4_relat_1(u1_struct_0(A))) = k1_xboole_0 & k3_relat_1(k4_relat_1(u1_struct_0(A)),k5_relat_1(k1_net_1(A),u4_struct_0(A))) = k1_xboole_0 & k3_relat_1(k4_relat_1(u1_struct_0(A)),k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k4_relat_1(u4_struct_0(A))) = k1_xboole_0 & k3_relat_1(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k4_relat_1(u4_struct_0(A))) = k1_xboole_0 ) ) )).
fof(t12_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_nat_d(B,C) & r1_nat_d(B,A) ) => r1_nat_d(B,k2_xcmplx_0(k2_nat_1(C,D),k3_xcmplx_0(A,E))) ) ) ) ) ) ) )).
fof(t12_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_fib_num3(k1_nat_1(A,2)) = k1_nat_1(k1_fib_num3(A),k1_fib_num3(k1_nat_1(A,1))) ) )).
fof(t12_fib_num4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( r1_xxreal_0(B,A) => r1_xxreal_0(k1_fib_num3(B),k1_fib_num3(A)) ) ) ) )).
fof(t12_filerec1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_finseq_1(D,C) => ( D = k10_finseq_1(A,B) => k2_rfinseq(C,1,D) = k9_finseq_1(B) ) ) ) )).
fof(t12_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ( ~ v1_xboole_0(k6_domain_1(u1_struct_0(A),k6_lattices(A))) & v19_lattices(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A) & v20_lattices(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A) & m1_subset_1(k6_domain_1(u1_struct_0(A),k6_lattices(A)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t12_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m2_filter_1(C,A,B) => ! [D] : ( m2_filter_1(D,A,B) => ( r1_lattice2(A,C,D) => r1_lattice2(k8_eqrel_1(A,B),k3_filter_1(A,B,C),k3_filter_1(A,B,D)) ) ) ) ) ) )).
fof(t12_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k7_lattices(A,C) = k7_lattices(B,D) ) ) ) ) ) ) )).
fof(t12_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_fin_topo(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k9_fin_topo(A,B) = k12_fin_topo(A,B) ) ) ) )).
fof(t12_finance1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_finance1(A,k1_numbers,B,k12_prob_1)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_finance1(A,k1_numbers,B,k12_prob_1)))) ) => ( r1_funct_2(A,k1_numbers,A,k1_tarski(k2_xcmplx_0(1,D)),k9_finance1(k5_numbers,A,k1_numbers,B,k12_prob_1,k6_finance1(A,k1_numbers,B,k12_prob_1),F),k7_funcop_1(A,k2_xcmplx_0(1,D))) => ! [G] : ( m1_subset_1(G,A) => k11_finance1(C,E,A,B,k6_finance1(A,k1_numbers,B,k12_prob_1),F,G) = k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(1,D),k3_funct_2(k4_ordinal1,k1_numbers,E,k5_numbers)),k12_finance1(C,E,A,B,k6_finance1(A,k1_numbers,B,k12_prob_1),F,G)) ) ) ) ) ) ) ) ) ) )).
fof(t12_finance2,axiom,( m1_prob_1(k4_ordinal1,k1_numbers,k12_prob_1) )).
fof(t12_finseq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_hidden(A,B) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & A = k4_tarski(C,k1_funct_1(B,C)) ) ) ) ) )).
fof(t12_finseq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => r2_tarski(k1_funct_1(A,C),B) ) ) => m2_finseq_1(A,B) ) ) )).
fof(t12_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(A,k2_finseq_1(C)) => ( r1_xxreal_0(A,B) | r2_tarski(k6_xcmplx_0(A,B),k2_finseq_1(C)) ) ) ) ) ) )).
fof(t12_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v2_funct_1(A) & r2_hidden(B,k10_xtuple_0(A)) ) => k1_funct_1(k2_funct_1(A),B) = k1_finseq_4(A,B) ) ) )).
fof(t12_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( k4_finseq_1(B) = k4_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k7_partfun1(A,B,D) = k7_partfun1(A,C,D) ) ) ) => B = C ) ) ) ) )).
fof(t12_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( r2_tarski(C,k10_xtuple_0(A)) => k5_finseq_4(k7_finseq_1(A,B),C) = k5_finseq_4(A,C) ) ) ) )).
fof(t12_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => k1_finseq_7(A,k12_finseq_1(A,B),1,C) = k12_finseq_1(A,C) ) ) ) )).
fof(t12_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( k4_finseq_8(A,B,C) = k8_finseq_1(A,k8_finseq_1(A,k5_finseq_8(A,B,C),k3_finseq_8(A,B,C)),k6_finseq_8(A,B,C)) & k4_finseq_8(A,B,C) = k8_finseq_1(A,k5_finseq_8(A,B,C),k8_finseq_1(A,k3_finseq_8(A,B,C),k6_finseq_8(A,B,C))) ) ) ) ) )).
fof(t12_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [G] : ( m2_finseq_1(G,B) => r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,F,D,k8_finseq_1(B,G,k12_finseq_1(B,E))),k8_finseq_1(C,k3_finseqop(A,B,C,F,D,G),k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)))) ) ) ) ) ) ) ) )).
fof(t12_finset_1,axiom,( ! [A] : ~ ( v1_finset_1(A) & A != k1_xboole_0 & v6_ordinal1(A) & ! [B] : ~ ( r2_tarski(B,A) & ! [C] : ( r2_tarski(C,A) => r1_tarski(C,B) ) ) ) )).
fof(t12_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => k1_finsop_1(A,k2_finseq_4(A,B,C),D) = k4_binop_1(A,D,B,C) ) ) ) ) )).
fof(t12_finsub_1,axiom,( ! [A] : ! [B] : r1_tarski(k2_xboole_0(k5_finsub_1(A),k5_finsub_1(B)),k5_finsub_1(k2_xboole_0(A,B))) )).
fof(t12_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( k4_fintopo2(A,B,C) = k7_margrel1 <=> r2_tarski(B,C) ) ) ) ) )).
fof(t12_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A),k1_fintopo3(A,B),k1_fintopo3(A,C)) = k1_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t12_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_fin_topo(A) => ( v4_fin_topo(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B = k4_subset_1(u1_struct_0(A),C,D) & r1_fintopo4(A,C,D) & C != B & D != B ) ) ) ) ) ) ) )).
fof(t12_fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v1_fin_topo(k3_fintopo5(A,B)) ) ) )).
fof(t12_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_fin_topo(B,A) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_tarski(k1_fin_topo(A,C),B) => r2_tarski(C,B) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r1_tarski(k1_fin_topo(A,C),B) ) ) ) ) ) ) )).
fof(t12_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ( k6_flang_1(A,B,C) = k1_xboole_0 <=> ( B = k1_xboole_0 | C = k1_xboole_0 ) ) ) ) )).
fof(t12_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k6_flang_1(A,k7_flang_1(A,B,C),k7_flang_1(A,B,D)) = k6_flang_1(A,k7_flang_1(A,B,D),k7_flang_1(A,B,C)) ) ) ) )).
fof(t12_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k8_flang_1(A,B) = k4_subset_1(k8_afinsq_1(A),k1_flang_2(A,B,k5_numbers,C),k1_flang_3(A,B,k2_xcmplx_0(C,1))) ) ) )).
fof(t12_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,k4_finseq_2(C,A)) => m2_finseq_1(B,A) ) ) )).
fof(t12_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( m2_subset_1(A,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) <=> ( ~ v1_xboole_0(A) & m2_finseq_2(A,k15_fomodel1(B),k3_finseq_2(k15_fomodel1(B))) ) ) ) )).
fof(t12_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => k1_relset_1(k8_mcart_1(k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k3_finseq_2(k1_fomodel1(B)),k15_fomodel2(B,C),k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0))),k18_fomodel2(B,C,k22_fomodel2(B,A,C))) = k2_zfmisc_1(k15_fomodel2(B,C),k27_fomodel2(B,A)) ) ) ) )).
fof(t12_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( ( k1_fomodel2(B) = k1_fomodel2(C) & k31_fomodel2(B) = k31_fomodel2(C) & k2_partfun1(k6_subset_1(u1_struct_0(B),k1_tarski(u3_struct_0(B))),k4_numbers,u1_fomodel1(B),k37_fomodel1(B)) = k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),k37_fomodel1(B)) ) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [F] : ( ( v4_fomodel2(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k5_relat_1(D,k37_fomodel1(B)) = k5_relat_1(E,k37_fomodel1(B)) & ! [G] : ( ( v4_fomodel2(G,C) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => ~ ( G = F & k25_fomodel2(C,A,E,G) = k25_fomodel2(B,A,D,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_fomodel4,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ( v9_fomodel4(B,C,D,A) => ( v4_fomodel2(B,C) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) ) ) ) )).
fof(t12_frechet,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k10_xtuple_0(k1_funct_4(A,B)) = k2_xboole_0(k7_relat_1(A,k6_subset_1(k9_xtuple_0(A),k9_xtuple_0(B))),k10_xtuple_0(B)) ) ) )).
fof(t12_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v4_frechet(A) => ( v5_pre_topc(C,A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(B),E,k1_partfun1(k4_ordinal1,u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C)) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_frechet(A,D)),k2_frechet(B,E)) ) ) ) ) ) ) ) ) )).
fof(t12_friends1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_2(B) & v3_relat_2(B) & v1_finset_1(B) & v3_friends1(B) ) => ( r2_hidden(A,k1_relat_1(B)) => ( v2_friends1(B) | k4_card_1(k1_relat_1(B)) = k2_xcmplx_0(1,k3_xcmplx_0(k4_card_1(k9_relat_1(B,A)),k6_xcmplx_0(k4_card_1(k9_relat_1(B,A)),1))) ) ) ) )).
fof(t12_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,C) ) => k1_funct_1(k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) ) ) ) ) ) ) ) )).
fof(t12_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k3_fscirc_1(A,B,C)) = k1_enumset1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) )).
fof(t12_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( ~ v2_struct_0(E) & l2_fsm_1(E,A,B) ) => ! [F] : ( ( ~ v2_struct_0(F) & l2_fsm_1(F,A,B) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ! [I] : ( m1_subset_1(I,u1_struct_0(F)) => ! [J] : ( m1_subset_1(J,u1_struct_0(F)) => ~ ( r1_fsm_1(A,E,C,G,H) & r1_fsm_1(A,F,C,I,J) & k4_fsm_1(A,B,E,H,D) != k4_fsm_1(A,B,F,J,D) & k4_fsm_1(A,B,E,G,k8_finseq_1(A,C,D)) = k4_fsm_1(A,B,F,I,k8_finseq_1(A,C,D)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,E,C)) = k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,E,D)) ) ) ) => v1_fsm_2(B,A) ) ) ) )).
fof(t12_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_afinsq_1(C))) => ! [F] : ( ( ~ v2_struct_0(F) & l1_rewrite3(F,E) ) => ( r3_rewrite3(C,k9_flang_1(C),k1_fsm_3(C,E,F),A,k3_flang_1(C,D),B,k2_flang_1(C)) => r2_rewrite3(C,k9_flang_1(C),k1_fsm_3(C,E,F),A,k3_flang_1(C,D),B,k2_flang_1(C)) ) ) ) ) ) )).
fof(t12_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : v1_relat_1(k3_msafree2(k7_ftacell1(A,B,C,D,E))) )).
fof(t12_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : k5_relat_1(k2_funcop_1(A,C),B) = k2_funcop_1(k3_xboole_0(A,B),C) )).
fof(t12_funcsdom,axiom,( ! [A] : ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => k1_binop_1(k7_funcsdom(A),1,B) = B ) )).
fof(t12_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,k9_xtuple_0(k3_relat_1(B,C))) => k1_funct_1(k3_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A)) ) ) ) )).
fof(t12_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [E] : ( r2_hidden(E,A) => k1_funct_1(C,E) = k1_funct_1(D,E) ) => r2_relset_1(A,B,C,D) ) ) ) )).
fof(t12_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => r1_tarski(k8_relat_1(k1_funct_3(D),A),k1_zfmisc_1(B)) ) ) )).
fof(t12_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( r2_hidden(C,k9_xtuple_0(k1_funct_4(A,B))) <=> ( r2_hidden(C,k9_xtuple_0(A)) | r2_hidden(C,k9_xtuple_0(B)) ) ) ) ) )).
fof(t12_funct_5,axiom,( ! [A] : ! [B] : ( k9_xtuple_0(k1_tarski(k4_tarski(A,B))) = k1_tarski(A) & k10_xtuple_0(k1_tarski(k4_tarski(A,B))) = k1_tarski(B) ) )).
fof(t12_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r1_tarski(k9_xtuple_0(F),k2_zfmisc_1(D,E)) => ( ( ~ r2_tarski(k1_funct_5(F),k1_funct_2(A,k1_funct_2(B,C))) & ~ r2_tarski(k3_funct_5(F),k1_funct_2(B,k1_funct_2(A,C))) ) | r2_tarski(F,k1_funct_2(k2_zfmisc_1(A,B),C)) ) ) ) )).
fof(t12_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ~ r1_xboole_0(A,k10_xtuple_0(k1_funct_4(k6_partfun1(B),k7_funcop_1(A,C)))) => r2_tarski(C,A) ) )).
fof(t12_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_funct_8(A,k1_numbers,k1_numbers,B) & r2_funct_8(A,k1_numbers,k1_numbers,C) ) => r2_funct_8(A,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t12_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_funct_9(B,A) => v1_funct_9(k39_valued_1(B),A) ) ) ) )).
fof(t12_functor0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k3_relat_1(C,k8_pboole(A,B)) = k8_pboole(k3_relat_1(C,A),k3_relat_1(C,B)) ) ) ) )).
fof(t12_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_altcat_2(C) & l1_altcat_1(C) ) => ! [D] : ( ( v8_functor0(D,A,B) & l2_functor0(D,A,B) ) => ! [E] : ( l2_functor0(E,B,C) => ( ( v21_functor0(D,A,B) & v21_functor0(E,B,C) ) => v21_functor0(k13_functor0(A,B,C,D,E),A,C) ) ) ) ) ) ) )).
fof(t12_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( m1_functor2(G,B,C,E,F) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r1_functor2(B,C,E,F) => k2_functor2(A,C,k1_functor3(A,B,C,D,E),k1_functor3(A,B,C,D,F),k6_functor3(A,B,C,E,F,D,G),H) = k2_functor2(B,C,E,F,G,k3_functor0(A,B,D,H)) ) ) ) ) ) ) ) ) ) )).
fof(t12_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(k6_xcmplx_0(B,A),k5_numbers) => k2_relset_1(k1_numbers,k5_relset_1(k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(k7_xcmplx_0(1,k6_xcmplx_0(B,A))),k7_xcmplx_0(B,k6_xcmplx_0(B,A))),k1_rcomp_1(A,B))) = k1_rcomp_1(k5_numbers,1) ) ) ) )).
fof(t12_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v5_relat_1(k7_rfunct_1(k1_xboole_0,A),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k7_rfunct_1(k1_xboole_0,A)) & v1_funct_2(k7_rfunct_1(k1_xboole_0,A),A,k1_numbers) & m1_subset_1(k7_rfunct_1(k1_xboole_0,A),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(t12_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k1_fuzzy_1(A,B,C),k1_fuzzy_2(A,B,k1_fuzzy_2(A,B,C))) ) ) ) )).
fof(t12_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(B,A),k1_numbers,k1_fuzzy_4(B,A,k6_fuzzy_1(k2_zfmisc_1(A,B),C,D)),k6_fuzzy_1(k2_zfmisc_1(B,A),k1_fuzzy_4(B,A,C),k1_fuzzy_4(B,A,D))) ) ) ) ) )).
fof(t12_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => k6_algstr_0(A,k4_algstr_0(A,k5_struct_0(A)),k4_algstr_0(A,k5_struct_0(A))) = k5_struct_0(A) ) )).
fof(t12_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r7_binop_1(u1_struct_0(A),k1_fvsum_1(A,B),u1_algstr_0(A)) ) ) )).
fof(t12_gate_1,axiom,( ! [A] : ! [B] : ( ~ ( ~ v1_xboole_0(k6_gate_1(A,B)) & ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) & ~ ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) & v1_xboole_0(k6_gate_1(A,B)) ) ) )).
fof(t12_gaussint,axiom,( ! [A] : ( ( v1_xcmplx_0(A) & v4_gaussint(A) ) => ? [B] : ( v1_xcmplx_0(B) & v1_gaussint(B) & ? [C] : ( v1_xcmplx_0(C) & v1_gaussint(C) & C != k5_numbers & A = k7_xcmplx_0(B,C) ) ) ) )).
fof(t12_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_gcd_1(A,D,B) & r2_gcd_1(A,D,C) & r2_gcd_1(A,D,k3_rlvect_1(A,B,C)) ) => ( D = k4_struct_0(A) | k3_rlvect_1(A,k1_gcd_1(A,B,D),k1_gcd_1(A,C,D)) = k1_gcd_1(A,k3_rlvect_1(A,B,C),D) ) ) ) ) ) ) )).
fof(t12_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( m1_genealg1(C,B) => ! [D] : ( m1_genealg1(D,B) => k8_genealg1(B,C,D,A,A) = C ) ) ) ) )).
fof(t12_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analoaf(A,B,C,B,k1_geomtrap(A,B,C)) & r1_analoaf(A,B,C,k1_geomtrap(A,B,C),C) ) ) ) ) )).
fof(t12_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : v1_relat_1(k3_msafree2(k7_gfacirc1(A,B,C))) )).
fof(t12_gfacirc2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( k2_msafree2(k1_gfacirc2(k1_nat_1(C,1),A,B)) = k2_xboole_0(k2_msafree2(k1_gfacirc2(C,A,B)),k7_subset_1(u1_struct_0(k13_gfacirc1(k1_funct_1(A,k1_nat_1(C,1)),k1_funct_1(B,k1_nat_1(C,1)),k3_gfacirc2(C,A,B))),k2_msafree2(k13_gfacirc1(k1_funct_1(A,k1_nat_1(C,1)),k1_funct_1(B,k1_nat_1(C,1)),k3_gfacirc2(C,A,B))),k1_tarski(k3_gfacirc2(C,A,B)))) & v1_relat_1(k3_msafree2(k1_gfacirc2(C,A,B))) & ~ v1_facirc_1(k2_msafree2(k1_gfacirc2(C,A,B))) ) ) ) ) )).
fof(t12_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ! [C] : ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( D != E => ( r2_tarski(D,k1_relset_1(k4_ordinal1,k13_glib_000(k13_glib_000(A,D,B),E,C))) & r2_tarski(E,k1_relset_1(k4_ordinal1,k13_glib_000(k13_glib_000(A,D,B),E,C))) & k1_funct_1(k13_glib_000(k13_glib_000(A,D,B),E,C),D) = B & k1_funct_1(k13_glib_000(k13_glib_000(A,D,B),E,C),E) = C ) ) ) ) ) )).
fof(t12_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) & r2_tarski(k1_nat_1(C,1),k1_relset_1(k4_ordinal1,B)) & r2_tarski(k1_nat_1(C,2),k1_relset_1(k4_ordinal1,B)) ) ) ) ) ) )).
fof(t12_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( r2_tarski(B,k1_glib_002(A,C)) => k1_glib_002(A,B) = k1_glib_002(A,C) ) ) ) ) )).
fof(t12_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) => k8_glib_003(A,B) = k1_xboole_0 ) ) ) )).
fof(t12_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) ) => ! [B] : ( ( v2_glib_001(B,A) & v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_glib_004(A,B,C,D) => r2_glib_004(A,k8_glib_001(A,B,E,F),k3_glib_001(A,k8_glib_001(A,B,E,F)),k4_glib_001(A,k8_glib_001(A,B,E,F))) ) ) ) ) ) )).
fof(t12_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k6_glib_000(A))) => ( ( r1_glib_005(A,B,C,D) & r2_tarski(C,E) ) => ( r2_tarski(D,E) | r1_xxreal_0(k1_glib_005(A,B,C,D),k2_uproots(k23_glib_000(A,E,k6_subset_1(k6_glib_000(A),E)),k5_relat_1(k5_glib_003(A),k23_glib_000(A,E,k6_subset_1(k6_glib_000(A),E))))) ) ) ) ) ) )).
fof(t12_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(C,k2_finseq_1(k1_matrix_0(D))) & r2_tarski(A,k4_finseq_1(D)) & r2_tarski(B,k2_finseq_1(k1_matrix_0(k16_matrix_0(C,u1_struct_0(k15_euclid(2)),D)))) ) => ( r1_xxreal_0(k1_matrix_0(D),1) | k3_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(C,u1_struct_0(k15_euclid(2)),D),A,B) = k1_funct_1(k2_finseq_3(C,k7_matrix_0(u1_struct_0(k15_euclid(2)),D,A)),B) ) ) ) ) ) ) )).
fof(t12_goboard2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ~ ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(A)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) ) ) ) ) ) & v1_topreal1(A) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(A)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) ) ) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & k3_topreal1(2,A) = k3_topreal1(2,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(C)) ) ) ) ) ) )).
fof(t12_goboard5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_hidden(k4_tarski(C,D),k2_matrix_0(k2_goboard2(A))) & r2_hidden(k4_tarski(E,F),k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),E,F) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(C,E)),k9_complex1(k6_xcmplx_0(D,F))) = 1 ) ) ) ) ) ) ) ) )).
fof(t12_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k1_goboard5(A,k5_numbers)) = a_1_0_goboard6(A) ) )).
fof(t12_goboard7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( v1_topreal1(A) & r1_xxreal_0(B,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C,k1_matrix_0(k2_goboard2(A))) ) => r1_xboole_0(k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),B,C)),k3_topreal1(2,A)) ) ) ) ) )).
fof(t12_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1))),k7_xcmplx_0(1,2)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,1))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t12_goboard9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(A,k1_matrix_0(B)) => v1_convex1(k1_tops_1(k15_euclid(2),k2_goboard5(B,A)),k15_euclid(2)) ) ) ) )).
fof(t12_gobrd11,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( v1_xreal_0(B) => ( A = a_1_1_gobrd11(B) => v4_pre_topc(A,k15_euclid(2)) ) ) ) )).
fof(t12_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(D),k9_matrix_0(E)) & r2_hidden(k4_tarski(A,C),k2_matrix_0(D)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(E)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,B,k1_matrix_0(E)) ) => C = k1_matrix_0(D) ) ) ) ) ) ) )).
fof(t12_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))))) => ~ ( v3_connsp_1(B,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) & B != k3_goboard9(A) & B != k2_goboard9(A) ) ) ) )).
fof(t12_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ? [C] : ( v1_henmodel(C,A) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) & v1_goedelcp(C,A) & r1_tarski(B,C) ) ) ) )).
fof(t12_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r1_henmodel(A,B,k6_cqc_lang(A,k12_cqc_lang(A,D,k6_cqc_lang(A,C)))) <=> r1_henmodel(A,B,k11_cqc_lang(A,D,C)) ) ) ) ) ) )).
fof(t12_gr_cy_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( ( k7_group_1(B) = A & v1_int_2(A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,B) ) => ( r1_group_2(B,C,k6_group_2(B)) | C = B ) ) ) ) ) )).
fof(t12_gr_cy_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & v15_algstr_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( ( C = k5_group_4(C,k6_domain_1(u1_struct_0(C),D)) & k7_group_1(C) = B ) => ( C = k5_group_4(C,k6_domain_1(u1_struct_0(C),k5_group_1(C,D,A))) <=> k6_nat_d(A,B) = 1 ) ) ) ) ) ) )).
fof(t12_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_gr_cy_3(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) & v1_gr_cy_3(B) ) => ! [C] : ( v7_ordinal1(C) => ~ ( A != B & C = k3_xcmplx_0(A,B) & ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) & v2_gr_cy_3(D) ) => ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) & v2_gr_cy_3(E) ) => k1_euler_1(C) != k3_xcmplx_0(k3_xcmplx_0(4,D),E) ) ) ) ) ) ) )).
fof(t12_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ? [C] : ( ~ v2_struct_0(C) & l1_graph_1(C) & r4_graph_1(A,C) & r4_graph_1(B,C) ) => k5_graph_1(A,B) = k5_graph_1(B,A) ) ) ) )).
fof(t12_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => ( k1_funct_1(k1_graph_2(A,B,C),1) = k1_funct_1(A,B) & k1_funct_1(k1_graph_2(A,B,C),k3_finseq_1(k1_graph_2(A,B,C))) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(t12_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( r2_tarski(D,u4_struct_0(A)) & r1_graph_2(A,C,B) & k1_funct_1(C,k3_finseq_1(C)) = k1_funct_1(u1_graph_1(A),D) ) => ( m1_graph_1(k7_finseq_1(B,k9_finseq_1(D)),A) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & E = k3_graph_2(C,k10_finseq_1(k1_funct_1(u1_graph_1(A),D),k1_funct_1(u2_graph_1(A),D))) & r1_graph_2(A,E,k7_finseq_1(B,k9_finseq_1(D))) & k1_funct_1(E,1) = k1_funct_1(C,1) & k1_funct_1(E,k3_finseq_1(E)) = k1_funct_1(u2_graph_1(A),D) ) ) ) ) ) ) )).
fof(t12_graph_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & l1_graph_1(D) ) => ! [E] : ( ( v7_graph_1(E,D) & m2_graph_1(E,D) ) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k3_finseq_1(E)) & A = k2_graph_2(u4_struct_0(D),E,B,C) ) => ( v7_graph_1(A,D) & m2_graph_1(A,D) ) ) ) ) ) ) ) )).
fof(t12_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ( ( v7_graph_1(C,A) & m2_graph_1(C,A) ) => ( k1_funct_1(u2_graph_1(A),k1_funct_1(B,k3_finseq_1(B))) = k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) => ( v7_graph_1(k8_finseq_1(u4_struct_0(A),B,C),A) & m2_graph_1(k8_finseq_1(u4_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(t12_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( u1_struct_0(A) = k2_xboole_0(C,D) & r2_tarski(E,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r2_tarski(G,C) & r2_tarski(H,D) ) => ! [I] : ~ ( r2_tarski(I,u4_struct_0(A)) & r1_graph_4(A,G,H,I) ) ) ) ) & r1_graph_5(A,B,E,F) ) => r2_graph_5(A,E,F,B,C) ) ) ) ) ) )).
fof(t12_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( m1_grcat_1(C,A,B) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & g1_grcat_1(u1_grcat_1(C),u2_grcat_1(C),u3_grcat_1(C)) = g1_grcat_1(A,B,D) & v13_vectsp_1(D,A,B) ) ) ) ) )).
fof(t12_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v2_funct_1(A) => v2_funct_1(k3_xboole_0(A,B)) ) ) ) )).
fof(t12_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ( m1_group_6(C,A,B) => m1_group_6(k1_grnilp_1(A,C,B),A,B) ) ) ) ) )).
fof(t12_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( v9_rewrite1(k3_polyred(A,B,C,D)) => v7_rewrite1(k3_polyred(A,B,C,D)) ) ) ) ) ) )).
fof(t12_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_vectsp_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => r8_pboole(k15_pre_poly(A),k1_polyred(A,E,B,k5_polynom1(A,B,C,D)),k5_polynom1(A,B,k1_polyred(A,E,B,C),k1_polyred(A,E,B,D))) ) ) ) ) ) )).
fof(t12_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k7_polynom1(A,B,C,D),k8_polynom1(A,B)) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),C,D) ) ) ) ) ) )).
fof(t12_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = k1_group_1(A) => ( C = k2_group_1(A,B) & B = k2_group_1(A,C) ) ) ) ) ) )).
fof(t12_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( ! [C] : ( m1_group_2(C,A) => ~ ( v2_group_10(C,B) & ! [D] : ( m1_group_2(D,A) => ~ ( r3_group_10(B,A,D) & m1_group_2(C,D) ) ) ) ) & ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => ( ( r3_group_10(B,A,C) & r3_group_10(B,A,D) ) => r5_group_3(A,C,D) ) ) ) ) ) ) )).
fof(t12_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_group_11(A,B,C)) => r1_tarski(k13_group_2(A,C,D),B) ) ) ) ) ) )).
fof(t12_group_12,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_finseq_1(A)) & v1_funct_1(C) & v1_partfun1(C,k2_finseq_1(A)) & v1_group_7(C) & v2_group_7(C,k2_finseq_1(A)) & v3_group_7(C,k2_finseq_1(A)) ) => ~ ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k2_finseq_1(A)) => m1_group_2(k1_group_7(k2_finseq_1(A),C,D),B) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & k3_finseq_1(E) = A & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A),C,F),k1_funct_1(E,F)) ) & D = k3_group_4(B,E) ) ) & ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( ( k3_finseq_1(D) = A & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A),C,F),k1_funct_1(D,F)) ) & k3_finseq_1(E) = A & ! [F] : ( m2_subset_1(F,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A),C,F),k1_funct_1(E,F)) ) & k3_group_4(B,D) = k3_group_4(B,E) ) => D = E ) ) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(B)) & v1_group_6(D,k2_group_7(k2_finseq_1(A),C),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(B)))) ) => ~ ( v3_funct_2(D,u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_7(k2_finseq_1(A),C))) => ? [F] : ( m2_finseq_1(F,u1_struct_0(B)) & k3_finseq_1(F) = A & ! [G] : ( m2_subset_1(G,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A),C,G),k1_funct_1(F,G)) ) & F = E & k3_funct_2(u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(B),D,E) = k3_group_4(B,F) ) ) ) ) ) ) ) ) )).
fof(t12_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_prvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k19_prvect_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k19_prvect_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k19_prvect_1(A))) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ( ( B = E & C = F & D = G ) => ( D = k3_rlvect_1(k19_prvect_1(A),B,C) <=> ! [H] : ( m2_subset_1(H,k4_ordinal1,k4_finseq_1(k14_prvect_1(A))) => k1_funct_1(G,H) = k1_binop_1(u1_algstr_0(k15_prvect_1(A,H)),k1_funct_1(E,H),k1_funct_1(F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ~ ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,E) & r1_struct_0(C,F) & D = k6_algstr_0(A,E,F) ) ) ) & k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C))),u1_struct_0(A)) & v1_group_6(D,k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C)),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C))),u1_struct_0(A)))) ) => ~ ( v3_funct_2(D,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(B,C))),u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_struct_0(B,E) & r1_struct_0(C,F) ) => k1_funct_1(D,k5_group_7(A,A,E,F)) = k6_algstr_0(A,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t12_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => u1_struct_0(k5_group_4(B,k6_domain_1(u1_struct_0(B),k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,u1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),C)))) ) ) ) ) )).
fof(t12_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( r2_funct_2(A,u1_struct_0(B),C,k8_funcop_1(u1_struct_0(B),A,k1_group_1(B))) => v1_xboole_0(k4_group_19(A,B,C)) ) ) ) ) )).
fof(t12_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(A,B,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,D)) = k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,C),k2_group_2(A,B,D)) ) ) ) ) )).
fof(t12_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_group_2(D,A) => k2_group_2(A,k14_group_2(A,D,B),C) = k12_group_2(A,D,k4_group_2(A,B,C)) ) ) ) ) )).
fof(t12_group_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k3_group_4(B,k5_finseq_2(u1_struct_0(B),A,C)) = k5_group_1(B,C,A) ) ) ) )).
fof(t12_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_group_5(A,k2_finseq_4(u1_struct_0(A),B,C),D) = k2_finseq_4(u1_struct_0(A),k2_group_3(A,B,D),k2_group_3(A,C,D)) ) ) ) ) )).
fof(t12_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k6_group_2(A) = A ) )).
fof(t12_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_relat_1(k9_finseq_1(A)) & v4_relat_1(k9_finseq_1(A),k1_tarski(1)) & v1_funct_1(k9_finseq_1(A)) & v1_partfun1(k9_finseq_1(A),k1_tarski(1)) & v1_group_7(k9_finseq_1(A)) & v3_group_7(k9_finseq_1(A),k1_tarski(1)) ) ) )).
fof(t12_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_group_1(B,A) => v4_group_1(k2_group_1(A,B),A) ) ) ) )).
fof(t12_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ( r1_tarski(u1_struct_0(C),u1_struct_0(D)) => m1_group_9(C,A,D) ) ) ) ) )).
fof(t12_groupp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ~ ( k7_group_1(B) != k7_group_1(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(B,C) ) ) ) ) )).
fof(t12_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ( m1_group_6(D,A,E) => m1_group_6(k2_grsolv_1(A,B,C,D),B,k2_grsolv_1(A,B,C,E)) ) ) ) ) ) ) )).
fof(t12_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_gtarski1(A,B,C,D,E) & r2_gtarski1(A,D,E,F,G) ) => r2_gtarski1(A,B,C,F,G) ) ) ) ) ) ) ) ) )).
fof(t12_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [E] : ( m1_rlsub_1(E,k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))) => ( ( B = D & C = E ) => ( r1_struct_0(C,B) | k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),D,E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(E),u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),k4_struct_0(E),D) ) ) ) ) ) ) ) )).
fof(t12_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k3_hahnban1(A,B,C,D),k3_hahnban1(A,B,D,C)) ) ) ) ) )).
fof(t12_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ! [E] : k1_hallmar1(A,k2_hallmar1(A,B,C,D),k6_subset_1(E,k1_tarski(C))) = k1_hallmar1(A,B,k6_subset_1(E,k1_tarski(C))) ) ) ) )).
fof(t12_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( D = k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,C),B) => v3_xxreal_2(D) ) ) ) ) ) )).
fof(t12_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( v7_ordinal1(C) & ~ v1_abian(C) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v1_abian(D) ) => ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => ~ ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) & r1_xxreal_0(E,k3_finseq_1(k8_glib_001(A,B,C,D))) & ! [F] : ( ( v7_ordinal1(F) & ~ v1_abian(F) ) => ~ ( k1_funct_1(k8_glib_001(A,B,C,D),E) = k1_funct_1(B,F) & F = k6_xcmplx_0(k2_xcmplx_0(C,E),1) & r1_xxreal_0(F,k3_finseq_1(B)) ) ) ) ) ) ) ) ) )).
fof(t12_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( ~ v1_xboole_0(C) => ( ~ v1_henmodel(B,A) => ! [D] : ( m1_valuat_1(D,A,C) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ~ r6_calcul_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t12_hermitan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( k4_complex1(A) = k5_numbers => A = k2_complfld(A) ) ) )).
fof(t12_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,B,C,E) & r1_collsp(A,B,C,D) & r1_collsp(A,E,F,D) & D != F & C != D & r1_collsp(A,D,C,F) ) ) ) ) ) ) ) )).
fof(t12_heyting1,axiom,( ! [A] : m2_subset_1(k4_tarski(k1_xboole_0,k1_xboole_0),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) )).
fof(t12_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => k3_substlat(A,B,k4_substlat(A,B,C,k2_heyting2(A,B,C))) = k5_lattices(k5_substlat(A,B)) ) ) )).
fof(t12_heyting3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k1_heyting3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_heyting3(A,B))) => ( r3_orders_2(k1_heyting3(A,B),C,D) <=> ! [E] : ~ ( r2_tarski(E,C) & ! [F] : ~ ( r2_tarski(F,D) & r1_tarski(F,E) ) ) ) ) ) )).
fof(t12_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,B) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,B),2),A) = k4_xcmplx_0(k1_funct_1(k18_sin_cos,A)) ) ) ) )).
fof(t12_hilbasis,axiom,( ! [A] : ! [B] : ( ( ~ v7_struct_0(B) & v1_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,A) => ( k4_polynom1(A,B,k3_hilbasis(A,C,B),k2_hilbasis(A,C)) = k1_group_1(B) & ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( D != k2_hilbasis(A,C) => k4_polynom1(A,B,k3_hilbasis(A,C,B),D) = k4_struct_0(B) ) ) ) ) ) )).
fof(t12_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ( v6_hilbert1(A) <=> k5_hilbert1(A) = A ) ) )).
fof(t12_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( k1_funct_1(A,1) = 2 => v1_hilbert2(A) ) ) )).
fof(t12_hilbert3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,2,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(2,A))) ) => ? [C] : ( m1_subset_1(C,A) & ? [D] : ( m1_subset_1(D,A) & r1_funct_2(2,A,k2_tarski(k5_numbers,1),A,B,k5_funct_4(A,k5_numbers,1,C,D)) ) ) ) ) )).
fof(t12_holder_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(k7_xcmplx_0(1,A),k7_xcmplx_0(1,B)) = 1 => ( r1_xxreal_0(A,1) | ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [H] : ( v7_ordinal1(H) => ( k8_nat_1(k1_numbers,E,H) = k2_power(k9_complex1(k8_nat_1(k1_numbers,C,H)),A) & k8_nat_1(k1_numbers,F,H) = k2_power(k9_complex1(k8_nat_1(k1_numbers,D,H)),B) & k8_nat_1(k1_numbers,G,H) = k9_complex1(k4_real_1(k8_nat_1(k1_numbers,C,H),k8_nat_1(k1_numbers,D,H))) ) ) & v1_series_1(E) & v1_series_1(F) ) => ( v1_series_1(G) & r1_xxreal_0(k4_series_1(G),k3_xcmplx_0(k2_power(k4_series_1(E),k7_xcmplx_0(1,A)),k2_power(k4_series_1(F),k7_xcmplx_0(1,B)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r2_tarski(D,k9_xtuple_0(A)) => k1_funct_1(k6_trees_4(C,B,A),k8_finseq_1(k4_ordinal1,k14_trees_3(1),D)) = k1_funct_1(A,D) ) ) ) ) )).
fof(t12_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,k11_polynom3(A,B,C)),k11_polynom3(A,k5_vfunct_1(k4_ordinal1,A,B),C)) & r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,k11_polynom3(A,B,C)),k11_polynom3(A,B,k5_vfunct_1(k4_ordinal1,A,C))) ) ) ) ) )).
fof(t12_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,B,k1_hurwitz2(A,B)),k2_hurwitz2(A,B)) ) ) )).
fof(t12_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k4_idea_1(C,A,B) = k4_idea_1(C,B,A) ) ) ) )).
fof(t12_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ~ v1_xboole_0(u1_struct_0(A)) & v1_ideal_1(u1_struct_0(A),A) & v3_ideal_1(u1_struct_0(A),A) & m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(t12_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(k3_incproj(A))) => ? [C] : ( m1_subset_1(C,u1_incsp_1(k3_incproj(A))) & ? [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) & ? [E] : ( m1_subset_1(E,u1_incsp_1(k3_incproj(A))) & C != D & D != E & E != C & r1_incsp_1(k3_incproj(A),C,B) & r1_incsp_1(k3_incproj(A),D,B) & r1_incsp_1(k3_incproj(A),E,B) ) ) ) ) ) )).
fof(t12_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A))) => ( ( r1_tarski(C,B) & v3_incsp_1(B,A) ) => v3_incsp_1(C,A) ) ) ) ) )).
fof(t12_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => k7_cat_1(A,C,k9_index_1(A,B,C)) = k1_xfamily(B) ) ) ) )).
fof(t12_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => ( u1_msualg_1(B) = k2_partfun1(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),u1_msualg_1(A),u4_struct_0(B)) & u2_msualg_1(B) = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_msualg_1(A),u4_struct_0(B)) ) ) ) )).
fof(t12_int_1,axiom,( ! [A] : ( v1_int_1(A) => ( r2_int_1(A,k5_numbers,A) & r2_int_1(k5_numbers,A,A) ) ) )).
fof(t12_int_2,axiom,( ! [A] : ( v1_int_1(A) => ( r1_int_1(A,k5_numbers) & r1_int_1(1,A) & r1_int_1(k4_xcmplx_0(1),A) ) ) )).
fof(t12_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => ( ( ~ v2_struct_0(k9_int_3(A)) & ~ v6_struct_0(k9_int_3(A)) & v13_algstr_0(k9_int_3(A)) & v33_algstr_0(k9_int_3(A)) & v3_group_1(k9_int_3(A)) & v5_group_1(k9_int_3(A)) & v2_rlvect_1(k9_int_3(A)) & v3_rlvect_1(k9_int_3(A)) & v4_rlvect_1(k9_int_3(A)) & v4_vectsp_1(k9_int_3(A)) & v5_vectsp_1(k9_int_3(A)) & l6_algstr_0(k9_int_3(A)) ) <=> ( v7_ordinal1(A) & v1_int_2(A) ) ) ) ) )).
fof(t12_int_4,axiom,( ! [A] : ( v1_int_1(A) => k5_numbers = k5_int_1(k5_numbers,A) ) )).
fof(t12_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) => k3_int_2(A,B) = k1_int_2(A) ) ) ) )).
fof(t12_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & C != B & k1_funct_1(A,C) != k5_numbers & ! [D] : ( v1_int_1(D) => k3_xcmplx_0(D,k1_funct_1(A,B)) != k7_xcmplx_0(k19_rvsum_1(A),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(t12_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ( ( v1_int_7(A) & v1_int_7(B) & r1_xboole_0(k22_pre_poly(k8_newton,A),k22_pre_poly(k8_newton,B)) ) => r1_int_2(k8_nat_3(k8_newton,A),k8_nat_3(k8_newton,B)) ) ) ) )).
fof(t12_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r1_int_2(A,B) & k3_finseq_1(C) = k3_pepin(A,B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,D) = k1_newton(A,k7_nat_d(D,1)) ) ) ) => ( r1_xxreal_0(B,1) | ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) & r2_tarski(E,k1_relset_1(k4_ordinal1,C)) & D != E & r2_int_1(k1_funct_1(C,D),k1_funct_1(C,E),B) ) ) ) ) ) ) ) ) )).
fof(t12_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,A)) & r1_integra5(k3_integra5(B,C),A) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,A,k3_integra5(B,C))) ) => ( r1_xxreal_0(C,B) | k1_integr10(A,B,C) = k4_integra5(B,C,A) ) ) ) ) ) )).
fof(t12_integr11,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k3_xcmplx_0(A,k2_xcmplx_0(C,1)) != k5_numbers => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(A,B),k1_taylor_1(k2_xcmplx_0(C,1))),k7_xcmplx_0(1,k3_xcmplx_0(A,k2_xcmplx_0(C,1)))),k1_numbers) & ! [D] : ( v1_xreal_0(D) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(A,B),k1_taylor_1(k2_xcmplx_0(C,1))),k7_xcmplx_0(1,k3_xcmplx_0(A,k2_xcmplx_0(C,1)))),k1_numbers),D) = k3_prepower(k2_xcmplx_0(k3_xcmplx_0(A,D),B),C) ) ) ) ) ) ) )).
fof(t12_integr12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,C) & r1_xxreal_0(D,k5_numbers) ) ) & C = k1_relset_1(k1_numbers,B) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k16_sin_cos),k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)))) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k18_sin_cos)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k18_sin_cos)),k3_seq_4(A))) ) ) ) ) )).
fof(t12_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k16_sin_cos))) & r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t12_integr14,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_fdiff_9))) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_fdiff_9)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_fdiff_9)),A),B) = k6_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k1_funct_1(k16_sin_cos,B))),k1_funct_1(k18_sin_cos,B)),k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos,B),k1_funct_1(k16_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B)))) ) ) ) ) ) )).
fof(t12_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( v1_integr15(C,A,B) => ( v2_integr15(C,A,B) <=> ? [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [F] : ( m4_integr15(F,A,B,C,E) => ( ( v2_comseq_2(k2_integra3(B,E)) & k1_seq_2(k2_integra3(B,E)) = k5_numbers ) => ( v3_normsp_1(k6_integr15(A,B,C,E,F),k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A),k6_integr15(A,B,C,E,F)) = D ) ) ) ) ) ) ) ) ) ) )).
fof(t12_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( B = C => ( k5_comseq_3(k1_numbers,B) = k5_comseq_3(A,C) & k6_comseq_3(k1_numbers,B) = k6_comseq_3(A,C) ) ) ) ) ) )).
fof(t12_integr18,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & l1_normsp_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,u1_struct_0(D)))) ) => ( E = F => k4_vfunct_1(C,D,F,A) = k4_vfunct_1(B,D,E,A) ) ) ) ) ) ) ) )).
fof(t12_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_xxreal_0(B,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,C) & r1_integr15(A,k3_integra5(B,C),F) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),F,k3_integra5(B,C)),A) & r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,F)) ) => ( r1_integr15(A,k3_integra5(D,E),k2_nfcont_4(A,k1_numbers,F)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),k2_nfcont_4(A,k1_numbers,F),k3_integra5(D,E)),A) ) ) ) ) ) ) ) ) )).
fof(t12_integr20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k1_integra3(A,B)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( r2_tarski(D,k4_finseq_1(B)) & r2_hidden(E,k2_integra1(A,B,D)) & r2_hidden(F,k2_integra1(A,B,D)) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(E,F))) ) ) ) ) ) ) ) ) )).
fof(t12_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_nfcont_3(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,D)) ) => r1_integra5(k3_integra5(A,B),k4_normsp_0(k1_numbers,C,D)) ) ) ) ) ) )).
fof(t12_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v3_xxreal_2(k1_rvsum_1(B)) => v2_seq_2(k2_partfun1(A,k1_numbers,B,A)) ) ) ) )).
fof(t12_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( v3_xxreal_2(B) & r1_xxreal_0(A,k5_numbers) ) => v4_xxreal_2(k1_integra2(B,A)) ) ) ) )).
fof(t12_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v2_measure5(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( m1_integra1(E,D) => ~ ( r2_tarski(B,k4_finseq_1(E)) & r2_tarski(C,k4_finseq_1(E)) & r1_xxreal_0(B,C) & ~ r1_xxreal_0(k1_funct_1(k3_finseq_6(k1_numbers,E,B,C),1),A) & ! [F] : ( ( ~ v1_xboole_0(F) & v2_measure5(F) & m1_subset_1(F,k1_zfmisc_1(k1_numbers)) ) => ~ ( A = k3_seq_4(F) & k2_seq_4(F) = k1_funct_1(k3_finseq_6(k1_numbers,E,B,C),k3_finseq_1(k3_finseq_6(k1_numbers,E,B,C))) & m1_integra1(k3_finseq_6(k1_numbers,E,B,C),F) ) ) ) ) ) ) ) ) )).
fof(t12_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) => ( v3_integra1(B,A) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( ( v2_comseq_2(k2_integra3(A,C)) & k1_seq_2(k2_integra3(A,C)) = k5_numbers ) => k6_xcmplx_0(k1_seq_2(k3_integra2(A,B,C)),k1_seq_2(k4_integra2(A,B,C))) = k5_numbers ) ) ) ) ) ) )).
fof(t12_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( m1_integra1(D,A) => ( ( r1_tarski(A,B) & r2_fdiff_1(C,B) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_1(C,B),A)) ) => ( r1_xxreal_0(k7_integra1(A,k1_integra5(k2_fdiff_1(C,B),A),D),k6_xcmplx_0(k1_funct_1(C,k2_seq_4(A)),k1_funct_1(C,k3_seq_4(A)))) & r1_xxreal_0(k6_xcmplx_0(k1_funct_1(C,k2_seq_4(A)),k1_funct_1(C,k3_seq_4(A))),k6_integra1(A,k1_integra5(k2_fdiff_1(C,B),A),D)) ) ) ) ) ) )).
fof(t12_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(C)) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(D)) & r1_integra5(k3_integra5(A,B),C) & r1_integra5(k3_integra5(A,B),D) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,C,k3_integra5(A,B))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(A,B))) ) => ( k4_integra5(A,B,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D)) = k2_xcmplx_0(k4_integra5(A,B,C),k4_integra5(A,B,D)) & k4_integra5(A,B,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D)) = k6_xcmplx_0(k4_integra5(A,B,C),k4_integra5(A,B,D)) ) ) ) ) ) ) )).
fof(t12_integra7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_integra7(A,D,B) & r1_integra7(A,E,C) ) => ( r1_integra7(A,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) & r1_integra7(A,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) ) ) )).
fof(t12_integra8,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k5_numbers,k19_sin_cos(k7_xcmplx_0(A,2))) => k19_sin_cos(k7_xcmplx_0(A,2)) = k3_square_1(k7_xcmplx_0(k2_xcmplx_0(1,k19_sin_cos(A)),2)) ) ) )).
fof(t12_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,B) => k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B)),k16_sin_cos)) = k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k18_sin_cos)),k2_seq_4(A)),k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k18_sin_cos)),k3_seq_4(A))) ) ) ) )).
fof(t12_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( ( r1_tarski(B,C) & r1_tarski(D,E) ) => k3_setfam_1(k2_interva1(A,B,C),k2_interva1(A,D,E)) = a_5_0_interva1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t12_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => r1_tarski(A,k7_intpro_1(A)) ) )).
fof(t12_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v2_comseq_2(k2_irrat_1(A)) & k1_seq_2(k2_irrat_1(A)) = k7_xcmplx_0(1,k7_newton(A)) & k1_seq_2(k2_irrat_1(A)) = k1_funct_1(k5_irrat_1,A) ) ) )).
fof(t12_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v12_cat_1(C,A,B) => r2_funct_2(u4_struct_0(A),u4_struct_0(B),k1_isocat_1(B,A,k1_isocat_1(A,B,C)),C) ) ) ) ) )).
fof(t12_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( k2_cat_1(k6_cat_2(A,B),k7_cat_2(A,B,C,E),k7_cat_2(A,B,D,F)) != k1_xboole_0 => ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_subset_1(H,u4_struct_0(B)) => ( m1_cat_1(k8_cat_2(A,B,G,H),k6_cat_2(A,B),k7_cat_2(A,B,C,E),k7_cat_2(A,B,D,F)) <=> ( m1_cat_1(G,A,C,D) & m1_cat_1(H,B,E,F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k1_tops_1(A,k2_pre_topc(A,k1_struct_0(A))) = k1_struct_0(A) ) )).
fof(t12_jct_misc,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_xboole_0(C,D) & r1_tarski(C,k1_rcomp_1(A,B)) & r1_tarski(D,k1_rcomp_1(A,B)) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_zfmisc_1(k1_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_numbers)))) ) => ~ ( ! [F] : ( v7_ordinal1(F) => ( v6_xxreal_2(k8_nat_1(k1_zfmisc_1(k1_numbers),E,F)) & ~ r1_xboole_0(k8_nat_1(k1_zfmisc_1(k1_numbers),E,F),C) & ~ r1_xboole_0(k8_nat_1(k1_zfmisc_1(k1_numbers),E,F),D) ) ) & ! [F] : ( v1_xreal_0(F) => ~ ( r2_hidden(F,k1_rcomp_1(A,B)) & ~ r2_hidden(F,k4_subset_1(k1_numbers,C,D)) & ! [G] : ( v7_ordinal1(G) => ? [H] : ( v7_ordinal1(H) & r1_xxreal_0(G,H) & r2_hidden(F,k8_nat_1(k1_zfmisc_1(k1_numbers),E,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v3_topreal1(A) => v1_goboard5(A) ) ) )).
fof(t12_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k1_pre_topc(B,D)),u1_struct_0(k1_pre_topc(C,E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B,D)),u1_struct_0(k1_pre_topc(C,E))))) ) => ~ ( v5_pre_topc(F,A,B) & v5_pre_topc(G,k1_pre_topc(B,D),k1_pre_topc(C,E)) & r1_tarski(k2_relset_1(u1_struct_0(B),F),D) & D != k1_xboole_0 & E != k1_xboole_0 & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ~ ( v5_pre_topc(H,A,C) & H = k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(k1_pre_topc(B,D)),u1_struct_0(k1_pre_topc(C,E)),F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k1_funct_1(B,C) = k7_xcmplx_0(k18_euclid(C),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k18_euclid(C),k17_euclid(C)))))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & k17_euclid(C) = k5_numbers ) ) ) => v5_pre_topc(B,k1_pre_topc(k15_euclid(2),A),k3_topmetr) ) ) ) )).
fof(t12_jgraph_4,axiom,( ! [A] : ( v7_ordinal1(A) => v5_pre_topc(k1_jgraph_4(A),k15_euclid(A),k3_topmetr) ) )).
fof(t12_jgraph_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( k1_funct_1(B,k5_numbers) = k1_funct_1(A,1) & k1_funct_1(B,1) = k1_funct_1(A,k5_numbers) & k2_relset_1(u1_struct_0(k15_euclid(2)),B) = k2_relset_1(u1_struct_0(k15_euclid(2)),A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) ) ) ) ) )).
fof(t12_jgraph_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) ) => ~ ( v5_pre_topc(C,A,k15_euclid(B)) & v5_pre_topc(D,A,k15_euclid(B)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) ) => ~ ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k15_euclid(B)),E,F) = k3_rlvect_1(k15_euclid(B),k3_funct_2(u1_struct_0(A),u1_struct_0(k15_euclid(B)),C,F),k3_funct_2(u1_struct_0(A),u1_struct_0(k15_euclid(B)),D,F)) ) & v5_pre_topc(E,A,k15_euclid(B)) ) ) ) ) ) ) ) )).
fof(t12_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( k18_euclid(A) = E & k18_euclid(B) = E & r1_xxreal_0(k17_euclid(A),D) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(F,E) | r1_xxreal_0(k17_euclid(B),C) | r1_xxreal_0(k17_euclid(A),k17_euclid(B)) | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).
fof(t12_jordan,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k4_topreal1(k1_jordan21(A)),k6_domain_1(u1_struct_0(k15_euclid(2)),k1_jordan21(A))),k2_jordan2c(2,A)) ) )).
fof(t12_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(B,k1_jordan2c(2,k3_topreal1(2,k1_jordan9(B,A)))) ) ) )).
fof(t12_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ r2_subset_1(k2_jordan2c(2,A),k2_jordan2c(2,B)) ) ) )).
fof(t12_jordan12,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r2_jordan12(2,A,B) => ! [C] : ( v7_ordinal1(C) => v1_finset_1(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k2_topreal1(2,B,C))) ) ) ) ) )).
fof(t12_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_tarski(A,k2_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B)))) ) ) ) )).
fof(t12_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,C),k3_topreal1(2,k2_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),E,C)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)) ) ) ) ) ) ) ) ) )).
fof(t12_jordan16,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),C,D,A) & k9_subset_1(u1_struct_0(k15_euclid(2)),A,B) = k2_tarski(E,F) & A = B ) ) ) ) ) ) ) )).
fof(t12_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r1_jordan17(A,B,C,D,E) => r1_jordan17(A,E,B,C,D) ) ) ) ) ) ) )).
fof(t12_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_jordan2c(2,A)) & r1_tarski(k6_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t12_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,E) & r1_xxreal_0(E,D) & r1_xxreal_0(D,k1_matrix_0(k1_jordan8(B,A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)),k8_jordan6(B)) ) ) ) ) ) ) )).
fof(t12_jordan1a,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ( ( k18_euclid(A) = k18_euclid(B) & r2_hidden(C,k1_rcomp_1(k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,A),k3_funct_2(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,B))) ) => r2_tarski(k19_euclid(C,k18_euclid(A)),k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) ) )).
fof(t12_jordan1b,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( r1_xxreal_0(1,k3_finseq_1(A)) => r1_xxreal_0(k1_jordan1a(A),k3_finseq_1(A)) ) ) )).
fof(t12_jordan1c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( v1_int_1(D) => ( ( r2_tarski(B,k1_jordan2c(2,C)) & D = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(B),k9_pscomp_1(C)),k6_xcmplx_0(k7_pscomp_1(C),k9_pscomp_1(C))),k1_newton(2,A)),2)) ) => ( ~ r1_xxreal_0(D,1) & r1_xxreal_0(k2_xcmplx_0(D,1),k1_matrix_0(k1_jordan8(C,A))) ) ) ) ) ) ) )).
fof(t12_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k22_pscomp_1(B),k4_goboard5(k1_jordan9(B,A),C)) ) ) ) )).
fof(t12_jordan1e,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k3_topreal1(2,k1_jordan9(A,B)) = k3_topreal1(2,k4_graph_2(u1_struct_0(k15_euclid(2)),k1_jordan1e(A,B),k2_jordan1e(A,B))) ) ) )).
fof(t12_jordan1f,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => r1_goboard1(u1_struct_0(k15_euclid(2)),k2_jordan1e(A,B),k1_jordan8(A,B)) ) ) )).
fof(t12_jordan1g,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_topreal1(A) & v2_topreal1(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( ( ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k18_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k18_pscomp_1(k3_topreal1(2,A)) ) | ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k19_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k19_pscomp_1(k3_topreal1(2,A)) ) ) & r1_xxreal_0(k18_euclid(k19_pscomp_1(k3_topreal1(2,A))),k18_euclid(k18_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(t12_jordan1h,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k1_matrix_0(B))) => r1_tarski(k2_relset_1(A,k8_matrix_0(A,B,C)),k2_jordan1h(A,B)) ) ) ) ) )).
fof(t12_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ r1_xxreal_0(k18_euclid(B),k7_pscomp_1(k3_topreal1(2,A))) => r2_tarski(B,k2_goboard9(A)) ) ) ) )).
fof(t12_jordan1j,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k24_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k10_xtuple_0(k2_jordan1e(B,A))) & r2_tarski(k24_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k3_topreal1(2,k2_jordan1e(B,A))) ) ) ) )).
fof(t12_jordan1k,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v2_compts_1(B,k3_pcomps_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( ( v2_compts_1(C,k3_pcomps_1(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ( ~ r1_xboole_0(B,C) => k7_weierstr(A,B,C) = k5_numbers ) ) ) ) )).
fof(t12_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( v1_xreal_0(B) => ( A = k4_rcomp_1(B,1) => v3_pre_topc(A,k5_topmetr) ) ) ) )).
fof(t12_jordan21,axiom,( ! [A] : ( ( v1_jordan21(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ v1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),A,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2))))) ) )).
fof(t12_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(E,B) & ~ r1_xxreal_0(C,k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),1,2))) & ~ r1_xxreal_0(D,k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),2,1))) ) ) ) ) ) ) ) )).
fof(t12_jordan23,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( ( v2_jordan23(B) & v1_finseq_6(B,A) ) => ! [C] : ( m1_subset_1(C,A) => v2_jordan23(k1_finseq_6(A,B,C)) ) ) ) ) )).
fof(t12_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v1_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D)) & v1_funct_2(k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)))) & m1_subset_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)))))) ) ) ) ) ) )).
fof(t12_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( C = a_3_0_jordan2b(A,B,D) & r2_tarski(D,k2_finseq_1(A)) ) => v3_pre_topc(C,k15_euclid(A)) ) ) ) ) ) )).
fof(t12_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v9_rltopsp1(C,k15_euclid(A)) & r1_tarski(B,C) ) => v9_rltopsp1(B,k15_euclid(A)) ) ) ) ) )).
fof(t12_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( ( v4_topreal1(A) & r1_xxreal_0(C,k3_finseq_1(A)) & B = k1_funct_1(A,C) ) => ( r1_xxreal_0(C,1) | k1_nat_1(k1_jordan3(A,B),1) = C ) ) ) ) ) )).
fof(t12_jordan4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,C) & r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_nat_1(k7_nat_d(C,D),1)) ) => k1_funct_1(k3_finseq_6(A,B,C,D),E) = k1_funct_1(B,k1_nat_1(k7_nat_d(C,E),1)) ) ) ) ) ) ) )).
fof(t12_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_topmetr(A,B)))) => ( ( D = C & v3_rcomp_1(C) ) => r2_tarski(D,k2_pcomps_1(k2_topmetr(A,B))) ) ) ) ) ) )).
fof(t12_jordan5b,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r2_jordan3(A,B,C,D) & r2_jordan3(A,B,D,E) ) => ( A = B | r2_jordan3(A,B,C,E) ) ) ) ) ) ) ) )).
fof(t12_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r1_jordan5c(A,B,C,D,E) & r1_jordan5c(A,B,C,E,D) ) => D = E ) ) ) ) ) ) )).
fof(t12_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) ) => ( r1_xxreal_0(k6_pscomp_1(k3_topreal1(2,A)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B))) & r1_xxreal_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B)),k8_pscomp_1(k3_topreal1(2,A))) ) ) ) ) )).
fof(t12_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,A) & k17_euclid(D) = k7_xcmplx_0(k2_xcmplx_0(k17_euclid(B),k17_euclid(C)),2) ) ) ) ) ) ) )).
fof(t12_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v1_topreal2(A) & r1_jordan6(A,B,C) ) => ( B = C | B = k18_pscomp_1(A) | k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,C,k18_pscomp_1(A)),k1_jordan7(A,k18_pscomp_1(A),B)) = k1_tarski(k18_pscomp_1(A)) ) ) ) ) ) )).
fof(t12_jordan8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(k1_jordan8(C,B))) ) => k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),k7_nat_d(k3_finseq_1(k1_jordan8(C,B)),1),A)) = k8_pscomp_1(C) ) ) ) ) )).
fof(t12_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & v1_sppol_1(k2_topreal1(2,C,A)) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r2_tarski(E,k2_topreal1(2,C,A)) => k18_euclid(E) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,D)) ) ) ) ) ) ) ) ) )).
fof(t12_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan6(A,B,k22_pscomp_1(A)) & r1_jordan6(A,k22_pscomp_1(A),C) ) => k1_jordan7(A,B,C) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_jordan6(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B),k3_jordan6(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),C)) ) ) ) ) )).
fof(t12_knaster,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ( v2_funct_1(C) & v2_funct_1(D) ) => r3_tarski(A,B) ) ) ) ) ) )).
fof(t12_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m2_prob_1(D,A,C) => ! [E] : ( m1_kolmog01(E,B,A,C) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(B)) ) => ( ( r2_kolmog01(A,C,D,B,E) & r1_subset_1(F,G) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(A)) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(A)) => ( ( r2_tarski(H,k7_kolmog01(A,C,B,F,E)) & r2_tarski(I,k7_kolmog01(A,C,B,G,E)) ) => k1_funct_1(D,k3_finsub_1(k1_zfmisc_1(A),H,I)) = k3_xcmplx_0(k1_funct_1(D,H),k1_funct_1(D,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k2_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) => r1_tarski(k4_subset_1(A,k3_kurato_0(A,B),k3_kurato_0(A,C)),k3_kurato_0(A,D)) ) ) ) ) )).
fof(t12_kurato_1,axiom,( k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k6_kurato_1))) = k4_rcomp_1(k2_xxreal_0,2) )).
fof(t12_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( m2_valued_0(C,k9_setfam_1(u1_struct_0(A)),B) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E) = D ) ) => r2_funct_2(k4_ordinal1,k9_setfam_1(u1_struct_0(A)),C,B) ) ) ) ) ) )).
fof(t12_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_abian(A) & v1_int_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(F,1) & ~ r1_xxreal_0(A,F) & k3_xcmplx_0(F,A) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) & ! [G] : ( v1_int_1(G) => ! [H] : ( v1_int_1(H) => ! [I] : ( v1_int_1(I) => ! [J] : ( v1_int_1(J) => ! [K] : ( v7_ordinal1(K) => ~ ( ~ r1_xxreal_0(K,k5_numbers) & ~ r1_xxreal_0(F,K) & k3_xcmplx_0(K,A) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(G),k1_pepin(H)),k1_pepin(I)),k1_pepin(J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_lang1,axiom,( ! [A] : ! [B] : ( A != B => k1_lang1(k7_lang1(A,B)) = k1_tarski(B) ) )).
fof(t12_laplace,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_finsub_1(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k5_finsub_1(B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(B),C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ( ( ! [G] : ( m1_subset_1(G,k5_finsub_1(B)) => ! [H] : ( m1_subset_1(H,k5_finsub_1(B)) => ( r1_xboole_0(G,H) => k4_binop_1(C,F,k3_funct_2(k5_finsub_1(B),C,E,G),k3_funct_2(k5_finsub_1(B),C,E,H)) = k3_funct_2(k5_finsub_1(B),C,E,k1_finsub_1(k5_finsub_1(B),G,H)) ) ) ) & v1_binop_1(F,C) & v2_binop_1(F,C) & v1_setwiseo(F,C) & k1_funct_1(E,k1_xboole_0) = k3_binop_1(C,F) ) => ! [G] : ( m1_subset_1(G,k5_finsub_1(A)) => ( ! [H] : ! [I] : ( ( r2_hidden(H,G) & r2_hidden(I,G) ) => ( r1_xboole_0(k1_funct_1(D,H),k1_funct_1(D,I)) | H = I ) ) => ( k7_setwiseo(A,C,F,G,k1_partfun1(A,k5_finsub_1(B),k5_finsub_1(B),C,D,E)) = k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,G),E) & k7_setwiseo(k5_finsub_1(B),C,F,k8_setwiseo(A,k5_finsub_1(B),D,G),E) = k1_funct_1(E,k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,G))) & m1_subset_1(k3_tarski(k8_setwiseo(A,k5_finsub_1(B),D,G)),k5_finsub_1(B)) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k1_tarski(k1_group_1(A)) => r1_group_2(A,k5_group_4(A,B),k6_group_2(A)) ) ) ) )).
fof(t12_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( r2_tarski(C,k3_xboole_0(u1_struct_0(A),u1_struct_0(B))) => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(t12_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,k2_lattices(A,B,C),B) = B <=> k2_lattices(A,B,k1_lattices(A,C,B)) = B ) ) ) ) )).
fof(t12_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( u1_struct_0(A) = u1_struct_0(k1_lattice2(A)) & r1_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A)),u2_lattices(A),u1_lattices(k1_lattice2(A))) & r1_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A)),u1_lattices(A),u2_lattices(k1_lattice2(A))) ) ) )).
fof(t12_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_lattice3(A) => ( v1_lattice3(A) & v2_lattice3(A) ) ) ) )).
fof(t12_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v13_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,B,A) => ( v2_funct_2(C,u1_struct_0(A)) => ( v13_lattices(A) & r3_lattice4(B,A,C) ) ) ) ) ) )).
fof(t12_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( v1_relat_1(D) => ! [E] : ( v1_relat_1(E) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( r1_xxreal_0(F,G) & r1_relat_2(D,A) & r1_relat_2(E,A) & ? [H] : ( ~ v1_xboole_0(H) & m2_finseq_1(H,A) & k3_finseq_1(H) = F & r1_lattice5(A,H,B,C,D,E) ) & ! [H] : ( ( ~ v1_xboole_0(H) & m2_finseq_1(H,A) ) => ~ ( k3_finseq_1(H) = G & r1_lattice5(A,H,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t12_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_lattice6(B,A) => ( r1_lattice6(A,k3_lattice6(A,B),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattice6(A,C,B) => C = k3_lattice6(A,B) ) ) ) ) ) ) )).
fof(t12_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_yellow_0(A,k9_subset_1(u1_struct_0(A),k5_waybel_0(A,B),k3_lattice7(A))) = B ) ) )).
fof(t12_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( v1_yellow11(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( ( v1_lattice5(C,A,B) & v3_lattice5(C,A,B) ) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => ( r3_orders_2(B,k3_lattice5(A,B,C,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k13_lattice3(B,k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D))) => v3_lattice5(k2_lattice8(A,B,C,D),k1_lattice8(A),B) ) ) ) ) ) ) ) )).
fof(t12_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_filter_2(B,A) <=> v3_latticea(B,A) ) ) ) )).
fof(t12_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( k4_lattices(A,D,B) = k4_lattices(A,D,C) & k3_lattices(A,D,B) = k3_lattices(A,D,C) ) => B = C ) ) ) ) ) )).
fof(t12_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k39_glib_000(B),C) => k1_recdef_1(k5_lexbfs(A,B,k1_nat_1(C,1)),k6_lexbfs(A,B,C)) = k7_nat_d(k39_glib_000(B),C) ) ) ) ) )).
fof(t12_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v3_orders_2(k3_waybel_3(A,B,C)) & v4_orders_2(k3_waybel_3(A,B,C)) & v5_orders_2(k3_waybel_3(A,B,C)) & v1_lattice3(k3_waybel_3(A,B,C)) & l1_orders_2(k3_waybel_3(A,B,C)) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) => ! [E] : ( m1_subset_1(E,A) => k4_waybel_3(A,B,k10_lattice3(k4_yellow_1(A,B),C,D),E) = k10_lattice3(k3_waybel_3(A,B,E),k4_waybel_3(A,B,C,E),k4_waybel_3(A,B,D,E)) ) ) ) ) ) ) )).
fof(t12_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r1_relat_2(B,A) => v1_lfuzzy_1(k3_lfuzzy_1(B,k2_zfmisc_1(A,A)),A) ) ) ) )).
fof(t12_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_limfunc1(A) & v1_seq_2(B) ) => v2_limfunc1(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t12_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r6_limfunc2(B,A) <=> ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,D) & ~ r1_xxreal_0(D,A) & r2_hidden(D,k1_relset_1(k1_numbers,B)) ) ) ) ) & ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k1_relset_1(k1_numbers,B)) & r1_xxreal_0(C,k1_funct_1(B,E)) ) ) ) ) ) ) ) ) )).
fof(t12_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_limfunc3(B,A) <=> ( r2_limfunc2(B,A) & r5_limfunc2(B,A) ) ) ) ) )).
fof(t12_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc2(B,A) & v5_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r3_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t12_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( C = u1_struct_0(D) => ( k4_struct_0(A) = k5_struct_0(A) | k1_vectsp_7(A,B,C) = D ) ) ) ) ) ) )).
fof(t12_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m2_vectsp_6(D,A,B,C) => ( v1_vectsp_4(C,A,B) => ( C = k1_xboole_0 | r2_tarski(k4_vectsp_6(A,B,D),C) ) ) ) ) ) ) )).
fof(t12_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k7_lmod_7(A,B,C)) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k8_lmod_7(A,B,C,E) ) ) ) ) ) )).
fof(t12_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_lopban_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_lopban_1(A,B))) => ! [E] : ( v1_xreal_0(E) => ( D = k1_rlvect_1(k5_lopban_1(A,B),C,E) <=> ! [F] : ( m1_subset_1(F,A) => k6_lopban_1(A,B,D,F) = k1_rlvect_1(B,k6_lopban_1(A,B,C,F),E) ) ) ) ) ) ) ) )).
fof(t12_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(k8_lopban_1(A,A)),k10_lopban_1(A,A)) => ! [D] : ( v1_xreal_0(D) => k4_lopban_2(A,k3_lopban_2(A,C,B),D) = k3_lopban_2(A,C,k4_lopban_2(A,B,D)) ) ) ) ) )).
fof(t12_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(B) => v3_normsp_1(B,A) ) ) ) )).
fof(t12_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),B,D)),k8_nat_1(k1_numbers,C,D)) ) & v2_comseq_2(C) & k1_seq_2(C) = k5_numbers ) => ( v3_normsp_1(B,A) & k5_normsp_1(A,B) = k4_struct_0(A) ) ) ) ) ) )).
fof(t12_lopban_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ( D = k1_lopban_5(A,B,C) => v1_convex1(D,k4_normsp_2(A)) ) ) ) ) ) )).
fof(t12_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_lopban_7(C,A,B) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),D),k1_relset_1(u1_struct_0(A),C)) & v3_normsp_1(D,A) & v3_normsp_1(k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C),B) ) => ( r2_tarski(k5_normsp_1(A,D),k1_relset_1(u1_struct_0(A),C)) & k5_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C)) = k1_funct_1(C,k5_normsp_1(A,D)) ) ) ) ) ) ) ) )).
fof(t12_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => u1_struct_0(k6_lopclset(A)) = k1_lopclset(A) ) )).
fof(t12_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_series_1(k1_lp_space(B,A)) & k2_power(k4_series_1(k1_lp_space(B,A)),k7_xcmplx_0(1,A)) = k5_numbers ) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k5_numbers ) ) ) ) ) )).
fof(t12_lpspacc1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_rfunct_3(D,C,k2_numbers,k3_rfunct_3(C,k2_numbers)) => k1_binop_1(k8_lpspacc1(C),A,k1_binop_1(k8_lpspacc1(C),B,D)) = k1_binop_1(k8_lpspacc1(C),k3_xcmplx_0(A,B),D) ) ) ) ) )).
fof(t12_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,k3_lpspace1(A),B,C),k2_lpspace1(A,k1_numbers,k3_lpspace1(A),C,B)) ) ) ) )).
fof(t12_lpspace2,axiom,( ! [A] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => r2_relset_1(B,k1_numbers,k2_mesfun6c(A,B,k8_lpspace1(B,k5_numbers)),k8_lpspace1(B,k5_numbers)) ) ) )).
fof(t12_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,C,k8_ltlaxio1(A,B))) = 1 <=> ? [E] : ( m1_subset_1(E,k4_ordinal1) & k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,E),B)) = 1 & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(E,F) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,F),A)) = 1 ) ) ) ) ) ) ) ) )).
fof(t12_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => k1_funct_1(k2_ltlaxio2(A),C) = k1_funct_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,B,A)),C) ) ) ) ) )).
fof(t12_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k1_ltlaxio1(A))) ) )).
fof(t12_ltlaxio4,axiom,( r2_relset_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1),k4_ltlaxio4(k1_subset_1(k1_hilbert1)),k6_domain_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k11_ltlaxio3(k6_finseq_1(k1_hilbert1),k6_finseq_1(k1_hilbert1)))) )).
fof(t12_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k6_cqc_lang(A,k5_cqc_lang(A)),B),k4_cqc_the1(A)) ) ) )).
fof(t12_margrel1,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( ( k4_xboolean(A,B) = k7_margrel1 => ( A = k7_margrel1 & B = k7_margrel1 ) ) & ( ( A = k7_margrel1 & B = k7_margrel1 ) => k4_xboolean(A,B) = k7_margrel1 ) & ~ ( k4_xboolean(A,B) = k6_margrel1 & A != k6_margrel1 & B != k6_margrel1 ) & ( ( A = k6_margrel1 | B = k6_margrel1 ) => k4_xboolean(A,B) = k6_margrel1 ) ) ) ) )).
fof(t12_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k6_rusub_4(A,B,C) = k6_rusub_4(A,C,B) ) ) ) )).
fof(t12_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( v1_matrix10(B) & v2_matrix10(C) ) => v1_matrix10(k5_matrix10(A,B,C)) ) ) ) ) )).
fof(t12_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ( C = k1_finseq_2(k1_nat_1(A,2)) => k2_matrix11(A,B,C) = k1_group_1(B) ) ) ) ) )).
fof(t12_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ( ( r2_tarski(B,k4_finseq_1(k3_matrix_1(D,C))) & r2_tarski(A,k4_finseq_1(k3_matrix_1(D,C))) ) => ( v1_matrix_6(k1_matrix12(C,C,D,k3_matrix_1(D,C),B,A),C,D) & k1_matrix_6(C,D,k1_matrix12(C,C,D,k3_matrix_1(D,C),B,A)) = k1_matrix12(C,C,D,k3_matrix_1(D,C),B,A) ) ) ) ) ) ) )).
fof(t12_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(D) = k3_finseq_1(E) ) => k13_fvsum_1(A,k8_finseq_1(u1_struct_0(A),B,D),k8_finseq_1(u1_struct_0(A),C,E)) = k1_algstr_0(A,k13_fvsum_1(A,B,C),k13_fvsum_1(A,D,E)) ) ) ) ) ) ) )).
fof(t12_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & v1_setfam_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ( ( r1_tarski(C,k2_finseq_1(k1_matrix_0(B))) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k7_subset_1(k4_ordinal1,k2_finseq_1(k1_matrix_0(B)),C)) => k8_matrix_0(u1_struct_0(A),B,D) = k5_finseq_2(u1_struct_0(A),k3_finseq_1(B),k4_struct_0(A)) ) ) ) => k8_matrix13(A,B) = k8_matrix13(A,k6_matrix13(u1_struct_0(A),B,k2_finseq_1(k3_finseq_1(B)),C)) ) ) ) ) )).
fof(t12_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix16(C,u1_struct_0(B)) & v1_matrix16(D,u1_struct_0(B)) ) => v1_matrix16(k1_matrix_4(B,C,D),u1_struct_0(B)) ) ) ) ) ) )).
fof(t12_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( v5_matrix17(C,u1_struct_0(A)) => v5_matrix17(k9_fvsum_1(A,C,B),u1_struct_0(A)) ) ) ) ) )).
fof(t12_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ( ( k3_finseq_1(C) = A & k3_finseq_1(D) = A ) => ( v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B)),C,D)) & v2_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B)),C,D),B,2,A) & m2_finseq_1(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B)),C,D),k3_finseq_2(B)) ) ) ) ) ) ) )).
fof(t12_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ( k3_relat_1(k1_finseq_2(A),B) = B & k3_relat_1(B,k1_finseq_2(A)) = B ) ) ) )).
fof(t12_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => ( D = C | k1_funct_1(B,D) = k4_struct_0(A) ) ) ) ) => k4_rlvect_1(A,B) = k1_funct_1(B,C) ) ) ) ) )).
fof(t12_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) ) => k2_matrix_3(A,k3_matrix_3(A,B,C)) = k3_matrix_3(A,k2_matrix_3(A,B),k2_matrix_3(A,C)) ) ) ) ) )).
fof(t12_matrix_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => k6_matrix_3(A,D,k3_rlvect_1(A,B,C)) = k3_matrix_3(A,k6_matrix_3(A,D,B),k6_matrix_3(A,D,C)) ) ) ) ) )).
fof(t12_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r2_matrix_6(A,B,D,C) => ( r1_xxreal_0(A,k5_numbers) | r2_matrix_6(A,B,k4_matrix_0(u1_struct_0(B),C),k4_matrix_0(u1_struct_0(B),D)) ) ) ) ) ) ) )).
fof(t12_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(A),2,2) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => k12_matrix_3(2,A,B) = k5_algstr_0(A,k8_group_1(A,k3_matrix_0(u1_struct_0(A),B,1,1),k3_matrix_0(u1_struct_0(A),B,2,2)),k8_group_1(A,k3_matrix_0(u1_struct_0(A),B,1,2),k3_matrix_0(u1_struct_0(A),B,2,1))) ) ) )).
fof(t12_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_8(C,A,B) & v1_matrix_8(D,A,B) & r1_matrix_6(A,B,C,D) ) => v1_matrix_8(k4_matrix_3(B,k4_matrix_0(u1_struct_0(B),C),k4_matrix_0(u1_struct_0(B),D)),A,B) ) ) ) ) ) )).
fof(t12_matrix_9,axiom,( v1_funct_1(k2_finseq_4(k4_ordinal1,2,1)) & v1_funct_2(k2_finseq_4(k4_ordinal1,2,1),k2_finseq_1(2),k2_finseq_1(2)) & v3_funct_2(k2_finseq_4(k4_ordinal1,2,1),k2_finseq_1(2),k2_finseq_1(2)) & ~ v6_matrix_1(k2_finseq_4(k4_ordinal1,2,1),2) & m1_subset_1(k2_finseq_4(k4_ordinal1,2,1),k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2),k2_finseq_1(2)))) )).
fof(t12_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k1_matrixc1(k4_matrix_5(A)) = k4_matrix_5(k1_matrixc1(A)) ) )).
fof(t12_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_matrixj1(k1_xboole_0,A) & m2_finseq_1(k1_xboole_0,k3_finseq_2(k3_finseq_2(A))) ) ) )).
fof(t12_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) ) => k4_rvsum_1(A,k8_rvsum_1(B,C)) = k8_rvsum_1(k4_rvsum_1(A,B),C) ) ) ) ) )).
fof(t12_matrixr2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => k7_matrixr1(k2_xcmplx_0(A,B),C) = k3_matrixr1(k7_matrixr1(A,C),k7_matrixr1(B,C)) ) ) ) )).
fof(t12_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( k9_xtuple_0(D) = k9_xtuple_0(C) => k9_xtuple_0(k5_matrlin(A,B,D,C)) = k9_xtuple_0(D) ) ) ) ) ) )).
fof(t12_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r1_tarski(D,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( r1_struct_0(k1_vectsp_7(A,B,C),E) & ~ r1_struct_0(k1_vectsp_7(A,B,D),E) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( r2_tarski(F,k7_subset_1(u1_struct_0(B),C,D)) & r1_struct_0(k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),F)),k6_domain_1(u1_struct_0(B),E))),F) ) ) ) ) ) ) ) ) ) )).
fof(t12_matrprob,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_matrix_0(C) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(C)) <=> ( r2_tarski(A,k2_finseq_1(k3_finseq_1(C))) & r2_tarski(B,k2_finseq_1(k1_matrix_0(C))) ) ) ) ) ) )).
fof(t12_matrtop1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & k15_finseq_1(k5_relat_1(k7_finseq_1(B,C),A)) = k7_finseq_1(k15_finseq_1(k5_relat_1(B,A)),k15_finseq_1(k5_relat_1(C,D))) & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(E,k5_numbers) => ( r2_tarski(E,D) <=> r2_tarski(k2_xcmplx_0(E,k3_finseq_1(B)),k9_subset_1(k4_ordinal1,A,k4_finseq_1(k7_finseq_1(B,C)))) ) ) ) ) ) ) )).
fof(t12_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_vectsp_4(B,k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A)) => ! [C] : ( m1_rlsub_1(C,k15_euclid(A)) => ! [D] : ( m1_vectsp_6(D,k2_vectsp_1,B) => ! [E] : ( m1_rlvect_2(E,C) => ( r1_funct_2(u1_struct_0(B),u1_struct_0(k2_vectsp_1),u1_struct_0(C),k1_numbers,D,E) => ( k1_vectsp_6(k2_vectsp_1,B,D) = k3_rlvect_2(C,E) & k4_vectsp_6(k2_vectsp_1,B,D) = k6_rlvect_2(C,E) ) ) ) ) ) ) ) )).
fof(t12_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_vectsp_1)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_vectsp_1)) => ( ( C = k19_sin_cos(A) & D = k17_sin_cos(A) ) => k12_matrix_3(k1_wsierp_1(k10_matrixj1(u1_struct_0(k2_vectsp_1),k17_matrixj1(u1_struct_0(k2_vectsp_1),2,B,k15_matrix_0(u1_struct_0(k2_vectsp_1),C,D,k4_algstr_0(k2_vectsp_1,D),C),k3_matrix_1(k2_vectsp_1,B)))),k2_vectsp_1,k20_matrixj1(u1_struct_0(k2_vectsp_1),k4_struct_0(k2_vectsp_1),k17_matrixj1(u1_struct_0(k2_vectsp_1),2,B,k15_matrix_0(u1_struct_0(k2_vectsp_1),C,D,k4_algstr_0(k2_vectsp_1,D),C),k3_matrix_1(k2_vectsp_1,B)))) = k5_struct_0(k2_vectsp_1) ) ) ) ) ) )).
fof(t12_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_mazurulm(C,A,B) ) => v1_mazurulm(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) )).
fof(t12_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,k2_pboole(A,k1_mboolean(A,k4_pboole(A,B,C)),k1_mboolean(A,k4_pboole(A,C,B))),k1_mboolean(A,k5_pboole(A,B,C))) ) ) )).
fof(t12_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(B,k2_zfmisc_1(k1_tarski(A),C)) => ( k1_xtuple_0(B) = A & r2_hidden(k2_xtuple_0(B),C) ) ) )).
fof(t12_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m1_measure1(E,A,B,C) => ( r1_tarski(D,E) => m1_measure1(D,A,B,C) ) ) ) ) ) )).
fof(t12_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_measure2(C,A,B) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & C = k4_measure1(A,B,D) ) ) ) )).
fof(t12_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [E] : ( v7_ordinal1(E) => r1_tarski(k8_nat_1(B,D,k1_nat_1(E,1)),k8_nat_1(B,D,E)) ) => ( r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k8_nat_1(B,D,k5_numbers))) | k12_supinf_2(C,k1_measure2(A,B,k1_measure3(A,B,D))) = k7_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C))) ) ) ) ) ) )).
fof(t12_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( ~ v1_xboole_0(k1_measure4(A,B)) & v1_prob_1(k1_measure4(A,B),A) & v4_prob_1(k1_measure4(A,B),A) & m1_subset_1(k1_measure4(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(t12_measure5,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v6_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,B) => r1_xxreal_0(k2_measure5(A),k2_measure5(B)) ) ) ) )).
fof(t12_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xxreal_0(B) => ( ? [C] : ( v1_xxreal_0(C) & r1_xxreal_0(C,B) & A = k2_rcomp_1(C,B) ) => B = k8_supinf_2(A) ) ) ) )).
fof(t12_measure7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_measure7(B,A) => v6_supinf_2(k3_measure7(A,B)) ) ) )).
fof(t12_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( r1_tarski(D,E) => r1_xxreal_0(k12_supinf_2(k6_measure8(A,B,C),D),k12_supinf_2(k6_measure8(A,B,C),E)) ) ) ) ) ) )).
fof(t12_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ( r2_hidden(k4_xcmplx_0(B),A) <=> r2_hidden(B,k5_member_1(A)) ) ) ) )).
fof(t12_membered,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_membered(A) ) => ? [B] : ( v7_ordinal1(B) & r2_tarski(B,A) ) ) )).
fof(t12_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => r1_tarski(k6_memstr_0(A,B,C),C) ) ) ) )).
fof(t12_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(A,k1_rltopsp1(k15_euclid(2),B,C)) => r2_tarski(A,k5_rltopsp1(k15_euclid(2),B,C)) ) ) ) ) )).
fof(t12_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) ) => r1_mesfunc5(A,B,C,k4_mesfunc1(A,D,E)) ) ) ) ) ) ) )).
fof(t12_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( r1_mesfun6c(A,B,C,E) & r1_mesfun6c(A,B,D,E) & r1_tarski(E,k1_relset_1(A,D)) ) => r1_mesfun6c(A,B,k46_valued_1(A,k2_numbers,k2_numbers,C,D),E) ) ) ) ) ) ) )).
fof(t12_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k6_mesfun7c(A,B))) => k12_supinf_2(k6_mesfun7c(A,B),C) = k6_rinfsup2(k1_mesfunc5(k4_ordinal1,k10_seqfunc(A,B,C))) ) ) ) ) )).
fof(t12_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_mesfunc8(B,A,k1_numbers) & r1_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers))) & r2_tarski(D,E) ) => k12_supinf_2(k3_series_1(k10_seqfunc(A,B,D)),C) = k12_supinf_2(k10_seqfunc(A,k2_mesfun9c(A,B),D),C) ) ) ) ) ) )).
fof(t12_mesfunc1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ( ! [B] : ( v1_xreal_0(B) => ~ r1_xxreal_0(A,B) ) => A = k1_supinf_1 ) ) )).
fof(t12_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(k1_mesfunc2(A,B),C)) ) ) ) )).
fof(t12_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc2(A,B,C) & ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ~ r1_mesfunc3(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t12_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v6_supinf_2(B) => v3_mesfunc5(B) ) ) ) )).
fof(t12_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_mesfunc6(A,B,C,D) <=> ! [E] : ( v1_xreal_0(E) => r2_tarski(k8_subset_1(A,D,k10_mesfunc1(C,E)),B) ) ) ) ) ) ) )).
fof(t12_mesfunc7,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k5_numbers,A) => r1_xxreal_0(k5_numbers,k4_mesfunc7(A,B)) ) ) ) )).
fof(t12_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k6_mesfunc8(A,B))) => ( k12_supinf_2(k6_mesfunc8(A,B),C) = k2_rinfsup2(k4_rinfsup2(k3_mesfunc5(A,B,C))) & k12_supinf_2(k6_mesfunc8(A,B),C) = k2_rinfsup2(k3_mesfunc5(A,k4_mesfunc8(A,B),C)) & k12_supinf_2(k6_mesfunc8(A,B),C) = k12_supinf_2(k1_mesfunc8(A,k4_mesfunc8(A,B)),C) ) ) ) & r2_relset_1(A,k6_numbers,k6_mesfunc8(A,B),k1_mesfunc8(A,k4_mesfunc8(A,B))) ) ) ) )).
fof(t12_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,C,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,B,F),E)) ) & r2_tarski(D,E) ) => ( ( v8_mesfunc5(k3_mesfunc5(A,B,D)) => v8_mesfunc5(k3_mesfunc5(A,C,D)) ) & ( v9_mesfunc5(k3_mesfunc5(A,B,D)) => v9_mesfunc5(k3_mesfunc5(A,C,D)) ) & ( v7_mesfunc5(k3_mesfunc5(A,B,D)) => v7_mesfunc5(k3_mesfunc5(A,C,D)) ) & ( v10_mesfunc5(k3_mesfunc5(A,B,D)) => v10_mesfunc5(k3_mesfunc5(A,C,D)) ) ) ) ) ) ) ) )).
fof(t12_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( l1_metric_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,k9_metric_1(B,C,A)) <=> ( ~ v2_struct_0(B) & r1_xxreal_0(k1_metric_1(B,C,D),A) ) ) ) ) ) ) )).
fof(t12_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_metric_2(A,B)) <=> C = B ) ) ) ) )).
fof(t12_metric_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(k5_numbers,D) ) => r1_xxreal_0(k3_square_1(k2_xcmplx_0(k1_square_1(k2_xcmplx_0(A,C)),k1_square_1(k2_xcmplx_0(B,D)))),k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k1_square_1(A),k1_square_1(B))),k3_square_1(k2_xcmplx_0(k1_square_1(C),k1_square_1(D))))) ) ) ) ) ) )).
fof(t12_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_metric_6(A,C,B) <=> ( v2_tbsp_1(C,A) & k1_tbsp_1(A,C) = B ) ) ) ) ) )).
fof(t12_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v7_pre_topc(A) & v2_tex_2(B,A) ) => ( v3_pre_topc(B,k1_pre_topc(A,k2_pre_topc(A,B))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,k2_pre_topc(A,B))))) ) ) ) ) )).
fof(t12_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ? [B] : ( m1_eqrel_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => ( v3_pre_topc(C,A) & v3_connsp_1(C,A) & ? [D] : ( v7_ordinal1(D) & ~ v2_struct_0(k1_pre_topc(A,C)) & v2_pre_topc(k1_pre_topc(A,C)) & v2_mfold_0(k1_pre_topc(A,C),D) & l1_pre_topc(k1_pre_topc(A,C)) ) ) ) ) ) ) )).
fof(t12_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_mfold_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_connsp_2(D,B,C) & ? [E] : ( v1_mfold_1(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) & r1_metrizts(B,k15_euclid(A),D,E) ) ) ) ) ) ) )).
fof(t12_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( ( v3_mfold_1(B,A) & r1_mfold_2(B,C) ) => v3_mfold_1(C,A) ) ) ) ) )).
fof(t12_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_midsp_1(A,B,B,C,D) => C = D ) ) ) ) ) )).
fof(t12_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_midsp_2(A,k4_algstr_0(A,B)) = k4_algstr_0(A,k1_midsp_2(A,B)) ) ) )).
fof(t12_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_midsp_1(C) & l1_midsp_3(C,k1_nat_1(A,2)) ) => ! [D] : ( ( v4_midsp_2(D,C) & l1_midsp_2(D,C) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(u1_midsp_2(C,D))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(C,D)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(C,D)))) => ( r2_tarski(B,k2_finseq_1(k1_nat_1(A,1))) => ( k1_funct_1(k1_midsp_3(u1_struct_0(u1_midsp_2(C,D)),k1_nat_1(A,1),F,B,E),B) = E & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k7_subset_1(k4_ordinal1,k4_finseq_1(F),k1_tarski(B))) => k1_funct_1(k1_midsp_3(u1_struct_0(u1_midsp_2(C,D)),k1_nat_1(A,1),F,B,E),G) = k1_funct_1(F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_mmlquer2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k1_mmlquer2(k1_mmlquer2(A,B),C) = k1_mmlquer2(A,k1_mmlquer2(B,C)) ) ) ) )).
fof(t12_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( v7_ordinal1(D) => k11_mmlquery(A,B,C,D) = k13_mmlquery(A,B,C,k1_nat_1(D,1)) ) ) ) )).
fof(t12_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( m1_mod_2(E,A,C,D) => ! [F] : ( m1_mod_2(F,A,B,C) => ( v2_mod_2(k8_mod_2(A,E,F),A) & m1_mod_2(k8_mod_2(A,E,F),A,B,D) ) ) ) ) ) ) ) )).
fof(t12_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),C,D)) = k1_vectsp_5(A,B,k1_vectsp_7(A,B,C),k1_vectsp_7(A,B,D)) ) ) ) ) )).
fof(t12_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_vectsp_2(D,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( ( B = k2_mod_4(A) & D = k3_mod_4(A,C) & E = F & G = H ) => k4_vectsp_2(B,D,F,H) = k3_vectsp_1(A,C,E,G) ) ) ) ) ) ) ) ) ) )).
fof(t12_modal_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v3_trees_2(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v3_trees_2(D) ) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(B)) => ( k7_trees_2(B,E,C) = k7_trees_2(B,E,D) => C = D ) ) ) ) ) ) )).
fof(t12_modcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(k11_modcat_1(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(k11_modcat_1(A,B))) => ( r2_hidden(k4_tarski(D,C),k1_relset_1(k2_zfmisc_1(u4_struct_0(k11_modcat_1(A,B)),u4_struct_0(k11_modcat_1(A,B))),u1_cat_1(k11_modcat_1(A,B)))) <=> k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) ) ) ) ) ) )).
fof(t12_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,D))) => ( r3_modelc_1(A,B,D,C,k3_robbins1(k48_modelc_1(A,B,D),E)) <=> ~ r3_modelc_1(A,B,D,C,E) ) ) ) ) ) ) )).
fof(t12_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( k1_funct_1(k3_modelc_2(A),1) = k5_numbers & k1_funct_1(k4_modelc_2(A,B),1) = 1 & k1_funct_1(k5_modelc_2(A,B),1) = 2 & k1_funct_1(k6_modelc_2(A),1) = 3 & k1_funct_1(k7_modelc_2(A,B),1) = 4 & k1_funct_1(k8_modelc_2(A,B),1) = 5 ) ) ) )).
fof(t12_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k13_modelc_2(B))) => ( D = k2_xboole_0(C,k1_tarski(A)) => r1_xxreal_0(k18_modelc_3(B,D),k2_xcmplx_0(k18_modelc_3(B,C),k3_finseq_1(A))) ) ) ) ) ) )).
fof(t12_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v3_valued_0(B) & v2_pre_poly(B) ) => ( k13_pre_poly(B) = k1_tarski(A) => k2_uproots(k4_ordinal1,B) = k1_funct_1(B,A) ) ) ) )).
fof(t12_moebius2,axiom,( k10_newton(2) = 5 )).
fof(t12_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v15_monoid_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = k6_algstr_0(A,D,B) => C = D ) ) ) ) ) ) )).
fof(t12_monoid_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v5_monoid_0(C,B) => v5_monoid_0(k8_monoid_1(B,B,B,C,A),k9_funct_2(A,B)) ) ) ) )).
fof(t12_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_morph_01(A,k5_setfam_1(u1_struct_0(A),B),C) = k3_tarski(a_3_5_morph_01(A,B,C)) ) ) ) )).
fof(t12_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( C != D => r1_subset_1(k1_funct_1(k8_msafree(A,B),C),k1_funct_1(k8_msafree(A,B),D)) ) ) ) ) ) )).
fof(t12_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),C)) => ~ ( k1_funct_1(E,k1_xboole_0) = k4_tarski(D,u1_struct_0(A)) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v6_trees_3(F) ) => ~ ( k3_finseq_1(F) = k3_finseq_1(k1_msualg_1(A,D)) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k1_relset_1(k4_ordinal1,F)) => r2_tarski(k1_funct_1(F,G),k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),k1_funct_1(k1_msualg_1(A,D),G))) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_msafree3,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ! [D] : ( ( r2_tarski(D,k1_funct_1(B,C)) => k1_funct_1(k3_msafree3(A,B,k1_trees_4(k4_tarski(D,C))),C) = k1_tarski(D) ) & ! [E] : ( ~ ( E = C & r2_tarski(D,k1_funct_1(B,C)) ) => k1_funct_1(k3_msafree3(A,B,k1_trees_4(k4_tarski(D,C))),E) = k1_xboole_0 ) ) ) ) )).
fof(t12_msafree4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(A,k3_trees_9(B)) => r1_tarski(k3_trees_9(A),k3_trees_9(B)) ) ) ) )).
fof(t12_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k2_msafree5(k1_tarski(B),A) = k1_tarski(k7_finseq_1(A,B)) ) ) )).
fof(t12_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_tarski(k7_msafree(A,B,C),k1_msaterm(A,B)) ) ) ) )).
fof(t12_msscyc_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & ~ v1_xboole_0(C) & v1_finseq_1(C) ) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) & r1_xxreal_0(B,k3_finseq_1(C)) & v1_xboole_0(k1_graph_2(C,A,B)) ) ) ) ) )).
fof(t12_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m1_pboole(B,A,C) => r1_pboole(A,B,C) ) ) ) )).
fof(t12_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_unialg_2(A,B) => m1_msualg_2(k9_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)) ) ) ) )).
fof(t12_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msualg_2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & m1_msualg_2(C,A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & m1_msualg_2(D,A,B) ) => v2_relat_1(k3_pboole(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D))) ) ) ) ) )).
fof(t12_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ( ( r3_msualg_3(A,B,C,E) & r3_msualg_3(A,C,D,F) ) => r3_msualg_3(A,B,D,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),u3_msualg_1(A,D),E,F)) ) ) ) ) ) ) ) )).
fof(t12_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v2_msualg_4(D,A,B) & v3_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ( r2_hidden(k4_tarski(F,G),k3_eqrel_1(k1_funct_1(u3_msualg_1(A,B),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),k1_nat_1(k3_finseq_1(H),1))),k2_msualg_4(A,B,D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),k1_nat_1(k3_finseq_1(H),1))),k2_msualg_4(A,B,E,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),k1_nat_1(k3_finseq_1(H),1))))) => ! [J] : ( m1_subset_1(J,k3_msualg_1(A,C,B)) => ! [K] : ( m1_subset_1(K,k3_msualg_1(A,C,B)) => ( ( J = k7_finseq_1(k7_finseq_1(H,k9_finseq_1(F)),I) & K = k7_finseq_1(k7_finseq_1(H,k9_finseq_1(G)),I) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),J),k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),K)),k3_eqrel_1(k1_funct_1(u3_msualg_1(A,B),k2_msualg_1(A,C)),k2_msualg_4(A,B,D,k2_msualg_1(A,C)),k2_msualg_4(A,B,E,k2_msualg_1(A,C)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( l3_msualg_1(D,A) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r1_msualg_6(A,B,C,D,E) => r2_hidden(k4_tarski(B,C),k3_msualg_6(A)) ) ) ) ) ) ) )).
fof(t12_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( D = E => ( r3_lattice3(A,D,C) <=> r3_lattice3(B,E,C) ) ) ) ) ) ) ) )).
fof(t12_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)))) => ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => k1_msualg_8(A,B,C) = C ) ) ) ) )).
fof(t12_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v2_finset_1(B) ) => ? [C] : ( m2_pboole(C,A,k7_funcop_1(A,k4_ordinal1),B) & v2_msualg_3(C,A,k7_funcop_1(A,k4_ordinal1),B) ) ) )).
fof(t12_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k6_msualg_1(A))) => k5_msualg_1(k6_msualg_1(A),B,k9_msualg_1(A)) = k1_funct_1(u1_unialg_1(A),B) ) ) )).
fof(t12_mycielsk,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_orders_2(A) ) => r1_xxreal_0(k2_dilworth(A),k4_card_1(u1_struct_0(A))) ) )).
fof(t12_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( v2_nagata_1(B,A) => v3_nagata_1(B,A) ) ) ) )).
fof(t12_nagata_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,B) => r1_xxreal_0(k8_nat_1(k1_numbers,C,D),A) ) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,B) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(C),D),k3_xcmplx_0(A,k1_nat_1(D,1))) ) ) ) ) ) ) )).
fof(t12_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(A,B) => r1_xxreal_0(A,k2_xcmplx_0(B,C)) ) ) ) ) )).
fof(t12_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & k3_nat_d(B,A) = k5_numbers & r1_xxreal_0(A,B) ) ) ) )).
fof(t12_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => k1_nat_3(k9_finseq_1(B),A) = k9_finseq_1(k1_newton(B,A)) ) ) )).
fof(t12_nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ ( ~ v1_int_2(A) & ~ r1_xxreal_0(A,1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_nat_d(B,A) & ~ r1_xxreal_0(B,1) & ~ r1_xxreal_0(A,B) ) ) ) & ~ ( ~ ( ~ r1_xxreal_0(A,1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_nat_d(B,A) & ~ r1_xxreal_0(B,1) & ~ r1_xxreal_0(A,B) ) ) ) & v1_int_2(A) ) ) ) )).
fof(t12_nat_5,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( B = k1_finseq_3(A,k6_domain_1(k4_ordinal1,k5_numbers)) => k18_rvsum_1(A) = k18_rvsum_1(B) ) ) ) )).
fof(t12_nat_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_int_1(A,C,B) => ( r1_xxreal_0(B,C) | k5_int_1(A,B) = C ) ) ) ) ) )).
fof(t12_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ( k2_nat_d(A,2) = k5_numbers | k2_nat_d(A,2) = 1 ) ) )).
fof(t12_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_nat_lat)) => ( k1_binop_1(k2_nat_lat,B,k1_binop_1(k1_nat_lat,B,A)) = B & k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,A,B),B) = B & k1_binop_1(k2_nat_lat,B,k1_binop_1(k1_nat_lat,A,B)) = B & k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,B,A),B) = B ) ) ) )).
fof(t12_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k2_cat_1(A,E,F) != k1_xboole_0 => ! [G] : ( m1_cat_1(G,A,E,F) => k3_funct_2(u4_struct_0(A),u4_struct_0(B),C,G) = k3_funct_2(u4_struct_0(A),u4_struct_0(B),D,G) ) ) ) ) => r2_funct_2(u4_struct_0(A),u4_struct_0(B),C,D) ) ) ) ) ) )).
fof(t12_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_1(B,k4_finseq_2(A,k5_margrel1)) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))) ) => ( ( k2_relset_1(k4_finseq_2(A,k5_margrel1),B) = C & k3_finseq_1(B) = A & v2_funct_1(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(A)) & r2_tarski(E,k2_finseq_1(A)) ) => ( ( D = E => k1_funct_1(k1_funct_1(B,D),E) = k7_margrel1 ) & ( D != E => k1_funct_1(k1_funct_1(B,D),E) = k6_margrel1 ) ) ) ) ) ) => k1_vectsp_7(k2_bspace,k5_nbvectsp(A),C) = g1_vectsp_1(k2_bspace,u1_struct_0(k5_nbvectsp(A)),u1_algstr_0(k5_nbvectsp(A)),u2_struct_0(k5_nbvectsp(A)),u1_vectsp_1(k2_bspace,k5_nbvectsp(A))) ) ) ) ) )).
fof(t12_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_ncfcont1(A,B,C) <=> ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,F,C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,F),k7_partfun1(k2_numbers,B,C)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_ncfcont2,axiom,( ! [A] : ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_clvect_1(D) & v3_clvect_1(D) & v4_clvect_1(D) & v5_clvect_1(D) & v8_clvect_1(D) & l2_clvect_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( r3_ncfcont2(A,C,D,E) => r3_ncfcont2(A,C,D,k2_vfunct_2(u1_struct_0(C),D,E,B)) ) ) ) ) ) )).
fof(t12_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_ndiff_1(A,k2_normsp_1(A,C,D),B),k2_normsp_1(A,k1_ndiff_1(A,C,B),k1_ndiff_1(A,D,B))) ) ) ) ) )).
fof(t12_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v2_ndiff_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( k7_partfun1(u1_struct_0(B),D,k4_struct_0(A)) = k4_struct_0(B) => ! [E] : ( ( v1_funct_1(E) & v2_ndiff_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( k7_partfun1(u1_struct_0(C),E,k4_struct_0(B)) = k4_struct_0(C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(F,A,B) & v1_lopban_1(F,A,B) & v2_lopban_1(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(G,B,C) & v1_lopban_1(G,B,C) & v2_lopban_1(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k6_vfunct_1(u1_struct_0(A),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,G),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k6_vfunct_1(u1_struct_0(A),B,F,D),E))) & v2_ndiff_1(k6_vfunct_1(u1_struct_0(A),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,G),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k6_vfunct_1(u1_struct_0(A),B,F,D),E)),A,C) & m1_subset_1(k6_vfunct_1(u1_struct_0(A),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,G),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k6_vfunct_1(u1_struct_0(A),B,F,D),E)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r1_tarski(B,k1_relset_1(k1_numbers,C)) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_relset_1(u1_struct_0(A),C) != k1_tarski(D) ) | ( r2_ndiff_3(A,C,B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k7_partfun1(u1_struct_0(A),k2_ndiff_3(A,C,B),D) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(t12_ndiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( ( r1_ndiff_4(B,C,A) & r1_ndiff_4(B,D,A) ) => ( r1_ndiff_4(B,k8_integr15(B,k1_numbers,C,D),A) & k1_ndiff_4(B,k8_integr15(B,k1_numbers,C,D),A) = k8_euclid(B,k1_ndiff_4(B,C,A),k1_ndiff_4(B,D,A)) ) ) ) ) ) ) )).
fof(t12_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_prvect_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(k4_prvect_2(A))) => ! [E] : ( m1_subset_1(E,k4_card_3(k4_prvect_2(A))) => ! [F] : ( m1_subset_1(F,k4_card_3(k4_prvect_2(A))) => ( ( B = E & C = F ) => ( k3_rlvect_1(k14_prvect_2(A),B,C) = D <=> ! [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(A)) => k1_ndiff_5(A,D,G) = k3_rlvect_1(k3_prvect_2(A,G),k1_ndiff_5(A,E,G),k1_ndiff_5(A,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(t12_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v7_ordinal1(E) => ( v1_funct_1(k1_funct_1(k5_ndiff_6(A,B,C,D),E)) & m1_subset_1(k1_funct_1(k5_ndiff_6(A,B,C,D),E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,E))))) ) ) ) ) ) ) )).
fof(t12_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) & v1_mazurulm(C,A,B) ) => ( v2_nfcont_1(D,A) <=> v2_nfcont_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(t12_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => r1_xboole_0(u1_orders_2(A),u1_orders_2(k3_necklace(A))) ) )).
fof(t12_necklace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ( ( r2_necklace(B,A) & r2_necklace(C,B) ) => r2_necklace(C,A) ) ) ) ) )).
fof(t12_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => r1_tarski(k4_net_1(A,B),k2_net_1(A)) ) ) )).
fof(t12_newton,axiom,( k2_newton(k5_numbers) = 1 )).
fof(t12_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k2_xcmplx_0(k1_newton(A,D),k1_newton(B,D)),k1_newton(C,D)) & ! [E] : ( v7_ordinal1(E) => ~ r1_xxreal_0(k2_xcmplx_0(k1_newton(A,D),k1_newton(B,D)),k1_newton(k2_xcmplx_0(A,E),D)) ) ) ) ) ) ) )).
fof(t12_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_tarski(k2_relset_1(u1_struct_0(A),E),k9_subset_1(u1_struct_0(A),k1_relset_1(u1_struct_0(A),C),k1_relset_1(u1_struct_0(A),D))) => ( r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k6_vfunct_1(u1_struct_0(A),B,C,D)),k1_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k2_vfunct_1(u1_struct_0(A),B,C,D)),k2_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) ) ) ) ) ) ) ) )).
fof(t12_nfcont_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & r1_tarski(C,k1_relset_1(u1_struct_0(A),B)) & v1_nfcont_1(C,A) & r2_nfcont_2(C,A,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r2_tarski(E,C) & k7_partfun1(k1_numbers,B,D) = k2_seq_4(k7_relset_1(u1_struct_0(A),k1_numbers,B,C)) & k7_partfun1(k1_numbers,B,E) = k3_seq_4(k7_relset_1(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) ) ) )).
fof(t12_nfcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( r2_hidden(A,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k1_relset_1(k1_numbers,D))) & r1_nfcont_3(B,C,A) & r1_nfcont_3(B,D,A) ) => ( r1_nfcont_3(B,k6_vfunct_1(k1_numbers,B,C,D),A) & r1_nfcont_3(B,k2_vfunct_1(k1_numbers,B,C,D),A) ) ) ) ) ) ) )).
fof(t12_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_nfcont_4(A,C,B) <=> ( r2_hidden(B,k1_relset_1(k1_numbers,C)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_euclid(A))) => ~ ( ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & a_4_0_nfcont_4(A,B,C,E) = D ) & ! [E] : ( m1_rcomp_1(E,B) => ~ r1_tarski(k7_relset_1(k1_numbers,k1_euclid(A),C,E),D) ) ) ) ) ) ) ) ) )).
fof(t12_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(A,B)) => ( r1_normform(A,B,C,D) => ( r1_normform(A,B,k1_normform(A,B,E,C),k1_normform(A,B,E,D)) & r1_normform(A,B,k1_normform(A,B,C,E),k1_normform(A,B,D,E)) ) ) ) ) ) ) ) )).
fof(t12_normsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) <=> ( k9_xtuple_0(A) = k4_ordinal1 & ! [D] : ( r2_tarski(D,k4_ordinal1) => m1_subset_1(k1_funct_1(A,D),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(t12_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k3_normsp_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_normsp_2(A))))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_normsp_2(A))) => ( ( r1_funct_2(k4_ordinal1,u1_struct_0(A),k4_ordinal1,u1_struct_0(k3_normsp_2(A)),B,C) & D = E ) => ( r1_frechet(k3_normsp_2(A),C,E) <=> ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ? [H] : ( v7_ordinal1(H) & r1_xxreal_0(G,H) & r1_xxreal_0(F,k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,B,H),D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_nfcont_1(B,A) <=> k1_normsp_3(A,k7_subset_1(u1_struct_0(A),k2_struct_0(A),B)) = k7_subset_1(u1_struct_0(A),k2_struct_0(A),B) ) ) ) )).
fof(t12_ntalgo_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ! [B] : ( m1_subset_1(B,k4_numbers) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,k4_numbers) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m2_finseq_1(D,k4_numbers) ) => ( ( r1_xxreal_0(2,k3_finseq_1(C)) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) & r2_tarski(F,k2_finseq_1(k3_finseq_1(C))) ) => ( E = F | r1_int_2(k1_funct_1(C,E),k1_funct_1(C,F)) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k3_finseq_1(C))) => k5_int_1(A,k1_funct_1(C,E)) = k5_int_1(B,k1_funct_1(C,E)) ) ) & k1_funct_1(D,1) = 1 ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,E) ) => k1_funct_1(D,k1_nat_1(F,1)) = k3_xcmplx_0(k1_funct_1(D,F),k1_funct_1(C,F)) ) ) ) => k5_int_1(A,k1_funct_1(D,k1_nat_1(E,1))) = k5_int_1(B,k1_funct_1(D,k1_nat_1(E,1))) ) ) ) ) ) ) ) )).
fof(t12_numbers,axiom,( r1_tarski(k3_numbers,k1_numbers) )).
fof(t12_numeral2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,A,k3_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,A,k3_fib_num2)),B) = k3_xcmplx_0(2,B) ) ) ) )).
fof(t12_numpoly1,axiom,( k1_numpoly1(2) = 3 )).
fof(t12_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t12_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( r2_tarski(C,k1_funct_1(k8_openlatt(A),B)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & D = C & D != u1_struct_0(A) & v2_filter_0(D,A) & r2_tarski(B,D) ) ) ) ) )).
fof(t12_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_qmax_1(A) ) => ( v8_oposet_1(A) => v3_necklace(A) ) ) )).
fof(t12_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,A,B,C) => ( k3_oppcat_1(A,k3_graph_1(A,D)) = k4_graph_1(k2_oppcat_1(A),k7_oppcat_1(A,B,C,D)) & k3_oppcat_1(A,k4_graph_1(A,D)) = k3_graph_1(k2_oppcat_1(A),k7_oppcat_1(A,B,C,D)) ) ) ) ) ) ) )).
fof(t12_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k4_struct_0(k2_ordeq_01(A,B)) = k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) ) ) )).
fof(t12_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r1_xxreal_0(C,D) & r1_tarski(k1_rcomp_1(C,D),k1_relset_1(k1_numbers,B)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k1_rcomp_1(C,D)) => r1_nfcont_3(A,B,F) ) ) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k2_rcomp_1(C,D)) => r1_ndiff_3(A,B,F) ) ) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k2_rcomp_1(C,D)) => r1_xxreal_0(k2_normsp_0(A,k1_ndiff_3(A,B,F)),E) ) ) ) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),B,D),k7_partfun1(u1_struct_0(A),B,C))),k3_xcmplx_0(E,k9_complex1(k6_xcmplx_0(D,C)))) ) ) ) ) ) ) )).
fof(t12_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k1_relat_1(B) = A ) )).
fof(t12_orders_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( v6_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(B,D) & r2_tarski(C,D) ) <=> ( r2_orders_2(A,B,C) <=> ~ r1_orders_2(A,C,B) ) ) ) ) ) )).
fof(t12_orders_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_orders_3(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_orders_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_orders_3(A))) => ! [D] : ( m1_orders_3(D,A) => ! [E] : ( m1_orders_3(E,A) => ( ( B = D & C = E ) => r1_tarski(k1_altcat_1(k4_orders_3(A),B,C),k9_funct_2(u1_struct_0(D),u1_struct_0(E))) ) ) ) ) ) ) )).
fof(t12_ordinal1,axiom,( ! [A] : ( v1_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r1_tarski(A,B) & r2_tarski(B,C) ) => r2_tarski(A,C) ) ) ) ) )).
fof(t12_ordinal2,axiom,( ! [A] : r1_tarski(k3_ordinal1(A),k2_ordinal1(A)) )).
fof(t12_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( k2_xboole_0(A,B) = A | k2_xboole_0(A,B) = B ) ) ) )).
fof(t12_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( v2_ordinal2(A) => ( v1_relat_1(k3_relat_1(A,B)) & v5_ordinal1(k3_relat_1(A,B)) & v1_funct_1(k3_relat_1(A,B)) & v1_ordinal2(k3_relat_1(A,B)) ) ) ) ) )).
fof(t12_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(k5_numbers,A) & r2_tarski(k12_ordinal2(A,B),k12_ordinal2(A,C)) ) => r2_tarski(B,C) ) ) ) ) )).
fof(t12_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(A,B) <=> r2_tarski(k3_ordinal5(A),k3_ordinal5(B)) ) ) ) )).
fof(t12_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ~ r1_orders_2(B,D,C) => k1_ortsp_1(A,B,C,D,k3_vectsp_1(A,B,F,E)) = k8_group_1(A,F,k1_ortsp_1(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(t12_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),D)) => ( r2_tarski(C,k7_dtconstr(k2_osafree(A,B))) & r2_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,D),k4_dtconstr(k2_osafree(A,B))) & ? [E] : ( m1_subset_1(E,u4_struct_0(A)) & C = k4_tarski(E,u1_struct_0(A)) & r2_tarski(D,k3_msualg_1(A,E,k8_osafree(A,B))) & k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,D) = k1_funct_1(k5_msualg_1(A,E,k8_osafree(A,B)),D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(k8_trees_4(u1_struct_0(k2_osafree(A,B)),C,D),k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),F)) <=> r3_orders_2(A,k2_msualg_1(A,E),F) ) ) ) ) ) ) ) ) ) )).
fof(t12_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & l3_osalg_1(A) ) => ( v6_osalg_1(A) => v10_osalg_1(A) ) ) )).
fof(t12_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => r8_pboole(u1_struct_0(A),k3_osalg_2(A,B),k2_osalg_2(A,k2_msualg_2(A,B))) ) ) ) )).
fof(t12_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( v1_osalg_3(D,A) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( r6_osalg_1(A,E,F) => ! [G] : ( m1_subset_1(G,k3_msualg_1(A,E,B)) => ! [H] : ( m1_subset_1(H,k3_msualg_1(A,F,B)) => ( G = H => k5_msualg_3(A,B,C,E,D,G) = k5_msualg_3(A,B,C,F,D,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),D)) => ( k8_osalg_4(A,B,C,D,E) = k8_osalg_4(A,B,C,D,F) <=> r2_hidden(k4_tarski(E,F),k2_msualg_4(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(t12_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v7_struct_0(B) & v2_analoaf(B) & l1_analoaf(B) ) => ( B = k2_analoaf(A) => ( v6_papdesaf(B) & v5_papdesaf(B) ) ) ) ) )).
fof(t12_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_parsp_1(A))) => ( r1_parsp_1(k9_parsp_1(A),B,C,D,E) <=> ? [F] : ( m1_subset_1(F,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & ? [G] : ( m1_subset_1(G,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & ? [H] : ( m1_subset_1(H,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & ? [I] : ( m1_subset_1(I,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) & k1_domain_1(k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A))),k2_zfmisc_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A))),k1_domain_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),B,C),k1_domain_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),D,E)) = k1_domain_1(k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k2_zfmisc_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))),k1_domain_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),F,G),k1_domain_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),H,I)) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)),k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I))),k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I)),k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)))) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I))),k8_group_1(A,k5_algstr_0(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)))) = k4_struct_0(A) & k5_algstr_0(A,k8_group_1(A,k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I))),k8_group_1(A,k5_algstr_0(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I)),k5_algstr_0(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)))) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( B != C & C != D & D != B ) => r1_parsp_2(A,B,C,D) ) ) ) ) ) )).
fof(t12_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k6_relset_1(A,B,C,D)) & m1_subset_1(k6_relset_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,C))) ) ) )).
fof(t12_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v2_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_tarski(C,k1_relset_1(A,D)) => ( C = k7_partfun1(A,k2_partfun2(A,B,D),k7_partfun1(B,D,C)) & C = k7_partfun1(A,k1_partfun1(A,B,B,A,D,k2_partfun2(A,B,D)),C) ) ) ) ) ) ) )).
fof(t12_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & r2_tarski(C,D) & r2_tarski(D,B) ) ) ) ) )).
fof(t12_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => ( r1_bvfunc_1(A,B,C) => r1_bvfunc_1(A,k6_bvfunc_2(A,B,D,E),k6_bvfunc_2(A,C,D,E)) ) ) ) ) ) ) )).
fof(t12_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_analoaf(A,B,F,F,C) & r2_analoaf(A,D,F,F,E) & r2_diraf(A,B,D,C,E) ) => ( r3_diraf(A,F,B,D) | r2_analoaf(A,B,D,E,C) ) ) ) ) ) ) ) ) )).
fof(t12_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r1_pboole(A,B,k4_pboole(A,C,D)) => r1_pboole(A,B,C) ) ) ) ) )).
fof(t12_pcomps_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k1_xboole_0 => k1_pcomps_1(A,B) = k1_xboole_0 ) ) ) )).
fof(t12_pcs_0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_pcs_0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_pcs_0(A,B))) => ( r1_pcs_0(k17_pcs_0(A,B),C,D) <=> ? [E] : ? [F] : ( l2_pcs_0(F) & ? [G] : ( m1_subset_1(G,u1_struct_0(F)) & ? [H] : ( m1_subset_1(H,u1_struct_0(F)) & r2_hidden(E,A) & F = k1_funct_1(B,E) & G = C & H = D & r1_pcs_0(F,G,H) ) ) ) ) ) ) ) )).
fof(t12_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( C = D => r1_funct_2(k1_euclid(1),k1_euclid(A),u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k1_partfun1(k1_euclid(1),k1_numbers,k1_numbers,k1_euclid(A),k1_pdiff_1(1,1),k6_pdiff_1(A,B,D)),k7_pdiff_1(A,B,C)) ) ) ) ) ) )).
fof(t12_pdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(2)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( D = k10_finseq_1(A,B) & r3_pdiff_1(2,2,E,D) ) => ( C = k10_pdiff_1(2,2,E,D) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & D = k10_finseq_1(F,G) & ? [H] : ( m1_rcomp_1(H,G) & r1_tarski(H,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,E,D))) & ? [I] : ( v1_funct_1(I) & v3_fdiff_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [J] : ( v1_funct_1(J) & v2_fdiff_1(J) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & C = k1_funct_1(I,1) & ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,H) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(2,2,E,D),K),k1_funct_1(k1_pdiff_2(2,2,E,D),G)) = k2_xcmplx_0(k1_funct_1(I,k6_xcmplx_0(K,G)),k1_funct_1(J,k6_xcmplx_0(K,G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r4_pdiff_3(B,A) <=> r3_pdiff_1(2,2,k1_pdiff_3(2,2,B),A) ) ) ) )).
fof(t12_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ~ ( D = k11_finseq_1(A,B,C) & r3_pdiff_1(3,3,E,D) & ! [F] : ( m1_rcomp_1(F,C) => ~ ( r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,E,D))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,E,D),I),k1_funct_1(k1_pdiff_2(3,3,E,D),C)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,C)),k1_funct_1(H,k6_xcmplx_0(I,C))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r3_pdiff_5(E,D) ) => k3_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,3,k1_pdiff_3(1,3,E),D),C) ) ) ) ) ) ) )).
fof(t12_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))))) ) => ( r1_funct_2(k1_euclid(B),k1_euclid(A),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A)),C,D) => ( v1_pdiff_6(C,A,B) <=> v13_vectsp_1(D,k4_real_ns1(B),k4_real_ns1(A)) ) ) ) ) ) ) )).
fof(t12_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) & C = k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(E,A),D) ) => ( k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_finseq_7(k1_numbers,D,E,B),D) = k2_funct_7(k1_numbers,k5_euclid(A),E,k5_real_1(B,C)) & k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,k1_finseq_7(k1_numbers,D,E,B)) = k2_funct_7(k1_numbers,k5_euclid(A),E,k5_real_1(C,B)) ) ) ) ) ) ) ) )).
fof(t12_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(D,A),k8_euclid(A,B,C)) = k5_real_1(k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(D,A),B),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(D,A),C)) ) ) ) ) )).
fof(t12_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => C = k3_funct_2(k1_numbers,k1_euclid(B),k6_pdiff_1(B,A,C),k3_funct_2(k1_euclid(B),k1_numbers,k1_pdiff_1(A,B),C)) ) ) ) )).
fof(t12_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v13_pencil_1(B) & v16_pencil_1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ( C != k3_pencil_1(A,B) => v3_card_1(k1_funct_1(B,C),1) ) ) ) ) )).
fof(t12_pencil_2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) => v3_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),u1_struct_0(B),u1_struct_0(A)) ) ) ) ) )).
fof(t12_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( ( ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) ) => ! [D] : ( m1_subset_1(D,u1_pre_topc(k2_pencil_1(A,B,k3_pencil_1(A,C)))) => m1_subset_1(k4_card_3(k1_funct_7(C,k3_pencil_1(A,C),D)),u1_pre_topc(k5_pencil_1(A,B))) ) ) ) ) )).
fof(t12_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( C != k4_struct_0(B) => k1_vectsp_9(A,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))) = 1 ) ) ) ) )).
fof(t12_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k4_nat_d(k1_newton(C,A),B) = k4_nat_d(k1_newton(k4_nat_d(C,B),A),B) ) ) ) )).
fof(t12_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => k9_petri(A,k1_subset_1(u4_struct_0(A))) = k1_xboole_0 ) )).
fof(t12_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_petri_df(A,B,C) <=> r2_petri_df(A,B,k12_finseq_1(u4_struct_0(A),C)) ) ) ) ) )).
fof(t12_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( r2_pnproc_1(A,B,C) & r2_pnproc_1(A,D,E) ) => r2_pnproc_1(A,k2_pnproc_1(A,B,D),k2_pnproc_1(A,C,E)) ) ) ) ) ) )).
fof(t12_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_polyalg1(B,A) => ! [C] : ( l1_polyalg1(C,A) => ! [D] : ( l1_polyalg1(D,A) => ( ( m1_polyalg1(B,A,C) & m1_polyalg1(C,A,D) ) => m1_polyalg1(B,A,D) ) ) ) ) ) )).
fof(t12_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ! [I] : ( v1_xreal_0(I) => k4_polyeq_1(A,C,E,G,I) = k4_polyeq_1(B,D,F,H,I) ) => ( A = B & C = D & E = F & G = H ) ) ) ) ) ) ) ) ) ) )).
fof(t12_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k1_square_1(B) = A & B != k3_square_1(A) & B != k4_xcmplx_0(k3_square_1(A)) ) ) ) )).
fof(t12_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( B != k5_numbers & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(k3_xcmplx_0(2,B),C)),k3_xcmplx_0(3,k1_square_1(B)))) & k4_polyeq_1(B,C,C,B,A) = k5_numbers & A != k4_xcmplx_0(1) & A != k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(B,C),k3_square_1(k6_xcmplx_0(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(k3_xcmplx_0(2,B),C)),k3_xcmplx_0(3,k1_square_1(B))))),k3_xcmplx_0(2,B)) & A != k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(B,C),k3_square_1(k6_xcmplx_0(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(k3_xcmplx_0(2,B),C)),k3_xcmplx_0(3,k1_square_1(B))))),k3_xcmplx_0(2,B)) ) ) ) ) )).
fof(t12_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( D != k5_numbers => ( k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D,k1_newton(A,2)),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ( A = k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,D))),k7_xcmplx_0(k1_polyeq_5(2,k1_quin_1(B,C,D)),k3_xcmplx_0(2,D))) | A = k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,D))),k7_xcmplx_0(k1_polyeq_5(2,k1_quin_1(B,C,D)),k3_xcmplx_0(2,D))) ) ) ) ) ) ) ) )).
fof(t12_polyform,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k2_xcmplx_0(A,2),1) ) )).
fof(t12_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k4_rlvect_1(A,k9_fvsum_1(A,C,B)) = k6_algstr_0(A,B,k4_rlvect_1(A,C)) ) ) ) )).
fof(t12_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( k1_funct_1(k6_polynom3(2,B),A) = k2_polynom3(k4_ordinal1,C,k7_nat_d(B,C)) & k1_funct_1(k6_polynom3(2,B),k1_nat_1(A,1)) = k2_polynom3(k4_ordinal1,D,k7_nat_d(B,D)) ) => D = k1_nat_1(C,1) ) ) ) ) ) )).
fof(t12_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,B) = k5_numbers => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_polynom4(A,B),k9_polynom3(A)) ) ) ) )).
fof(t12_polynom5,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k1_complfld)) => k2_polynom5(k8_finseq_1(u1_struct_0(k1_complfld),A,B)) = k8_finseq_1(k1_numbers,k2_polynom5(A),k2_polynom5(B)) ) ) )).
fof(t12_polynom6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) => ! [D] : ( m2_subset_1(D,k14_pre_poly(B),k15_pre_poly(B)) => ! [E] : ( m2_finseq_1(E,k3_finseq_2(k15_pre_poly(k10_ordinal2(A,B)))) => ( ( k4_finseq_1(E) = k4_finseq_1(k20_pre_poly(A,C)) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(k20_pre_poly(A,C))) & ! [G] : ( m2_subset_1(G,k14_pre_poly(A),k15_pre_poly(A)) => ! [H] : ( m2_finseq_1(H,k15_pre_poly(k10_ordinal2(A,B))) => ~ ( H = k9_pre_poly(k15_pre_poly(k10_ordinal2(A,B)),k4_ordinal1,k3_finseq_2(k15_pre_poly(k10_ordinal2(A,B))),E,F) & r6_pboole(A,k7_partfun1(k15_pre_poly(A),k20_pre_poly(A,C),F),G) & k3_finseq_1(H) = k3_finseq_1(k20_pre_poly(B,D)) & ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k4_finseq_1(H)) & ! [J] : ( m2_subset_1(J,k14_pre_poly(B),k15_pre_poly(B)) => ~ ( r6_pboole(B,k7_partfun1(k15_pre_poly(B),k20_pre_poly(B,D),I),J) & r6_pboole(k10_ordinal2(A,B),k7_partfun1(k15_pre_poly(k10_ordinal2(A,B)),H,I),k1_polynom6(A,B,G,J)) ) ) ) ) ) ) ) ) ) ) => k20_pre_poly(k10_ordinal2(A,B),k1_polynom6(A,B,C,D)) = k5_pre_poly(k15_pre_poly(k10_ordinal2(A,B)),E) ) ) ) ) ) ) )).
fof(t12_polynom7,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v3_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,C,D) = k6_algstr_0(B,k3_polynom7(A,B,C),k1_polynom2(A,k2_polynom7(A,B,C),B,D)) ) ) ) ) )).
fof(t12_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,B) = k1_algseq_1(A,C) => k1_algseq_1(A,k4_lopban_3(A,B,C)) = k1_algseq_1(A,B) ) ) ) ) )).
fof(t12_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_polynom7(A,B,k10_polynom1(A,B,C,D),E),k10_polynom1(A,B,C,k5_polynom7(A,B,D,E))) ) ) ) ) ) )).
fof(t12_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_poset_1(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_poset_1(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_poset_1(A,B))) => ( C = k9_poset_1(A,B) => r1_lattice3(k6_poset_1(A,B),u1_struct_0(k6_poset_1(A,B)),C) ) ) ) ) )).
fof(t12_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_poset_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_poset_2(A))) => ( r3_orders_2(k4_poset_2(A),B,C) <=> ( B = A | B = C ) ) ) ) ) )).
fof(t12_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ( ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(1,B) ) | ( A != k5_numbers & ~ v1_abian(B) ) ) => k1_power(B,k7_xcmplx_0(1,A)) = k7_xcmplx_0(1,k1_power(B,A)) ) ) ) )).
fof(t12_pralg_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ( r8_pboole(u1_struct_0(B),u3_msualg_1(B,k14_pralg_2(A,B,C)),k10_pralg_2(A,B,C)) & r8_pboole(u4_struct_0(B),u4_msualg_1(B,k14_pralg_2(A,B,C)),k13_pralg_2(A,B,C)) ) ) ) )).
fof(t12_pralg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,B,C)) => r2_tarski(F,k4_card_3(k1_funct_6(k3_relat_1(k1_msualg_1(A,B),E)))) ) ) ) ) ) ) )).
fof(t12_pre_circ,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_trees_3(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) => k4_trees_1(k11_trees_3(A),k12_finseq_1(k4_ordinal1,B)) = k1_funct_1(A,k1_nat_1(B,1)) ) ) ) )).
fof(t12_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k1_int_1(k3_power(2,k1_nat_1(k3_xcmplx_0(2,A),1))),k2_xcmplx_0(k1_int_1(k3_power(2,k3_xcmplx_0(2,A))),1)) ) ) )).
fof(t12_pre_poly,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k3_finseq_1(B) = k1_nat_1(A,1) => k3_finseq_1(k2_finseq_3(k1_nat_1(A,1),B)) = A ) ) ) )).
fof(t12_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B != k1_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r2_tarski(C,B) ) ) ) ) )).
fof(t12_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r1_prefer_1(k2_eqrel_1(A,B,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B))),k2_eqrel_1(A,B,k3_relset_1(A,A,B)),k2_eqrel_1(A,k3_subset_1(k2_zfmisc_1(A,A),B),k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B)))) ) ) )).
fof(t12_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),k2_prelamb(A,B,C)),k12_finseq_1(u1_struct_0(A),C)),B) & r2_prelamb(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),C),k12_finseq_1(u1_struct_0(A),k1_prelamb(A,C,B))),B) ) ) ) ) )).
fof(t12_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(1,B) ) => r1_xxreal_0(A,k1_newton(A,B)) ) ) ) )).
fof(t12_prgcor_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k2_prgcor_1(A,B) = k4_int_1(A,B) ) ) )).
fof(t12_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r2_tarski(B,k1_prob_1(A,C)) <=> ? [D] : ( v7_ordinal1(D) & r2_tarski(B,k8_nat_1(k9_setfam_1(A),C,D)) ) ) ) )).
fof(t12_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m2_prob_1(E,A,B) => k3_funct_2(B,k1_numbers,E,k7_prob_1(A,B,C,k5_prob_1(A,B,C,D))) = k5_real_1(k3_funct_2(B,k1_numbers,E,C),k3_funct_2(B,k1_numbers,E,k5_prob_1(A,B,C,D))) ) ) ) ) ) )).
fof(t12_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => ! [D] : ( r2_hidden(D,k1_prob_2(B,k9_setfam_1(B),k1_prob_3(B,C),A)) <=> ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,A) => r2_hidden(D,k1_prob_2(B,k9_setfam_1(B),C,E)) ) ) ) ) ) )).
fof(t12_prob_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ( r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k6_numbers,A,B) & v4_partfun3(A) & v1_series_1(A) ) => k4_series_1(A) = k17_supinf_2(B) ) ) ) )).
fof(t12_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,B,k9_cqc_lang(A,B,B)),k4_cqc_the1(A)) ) ) )).
fof(t12_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_projdes1(A,B,C,D,E) ) ) ) ) ) )).
fof(t12_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( ~ r4_projpl_1(A,B,C,D) => ( ~ r4_projpl_1(A,B,D,C) & ~ r4_projpl_1(A,C,B,D) & ~ r4_projpl_1(A,C,D,B) & ~ r4_projpl_1(A,D,B,C) & ~ r4_projpl_1(A,D,C,B) ) ) ) ) ) ) )).
fof(t12_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u1_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u1_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(A)) => ! [R] : ( m1_subset_1(R,u2_incsp_1(A)) => ! [S] : ( m1_subset_1(S,u2_incsp_1(A)) => ! [T] : ( m1_subset_1(T,u2_incsp_1(A)) => ~ ( r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,F,E),M) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,H,G),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,F,K),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,I,D),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,J,D),Q) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),K,E,G),R) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,I,G),S) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,J,E),T) & r1_zfmisc_1(L,M,N) & B != H & B != C & B != E & F != E & ! [U] : ( m1_subset_1(U,u2_incsp_1(A)) => ~ r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),I,J,K),U) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,C) & ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,B,E) & k3_relat_1(k1_projred1(A,C,E,B),k1_projred1(A,E,D,B)) != k1_projred1(A,C,D,B) ) ) ) ) ) ) )).
fof(t12_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( m2_prvect_1(B,A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => ( v1_funct_1(k1_funct_1(B,C)) & v1_funct_2(k1_funct_1(B,C),k1_funct_1(A,C),k1_funct_1(A,C)) & m1_subset_1(k1_funct_1(B,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(A,C),k1_funct_1(A,C)))) ) ) ) ) ) ) )).
fof(t12_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k14_prvect_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k14_prvect_2(A))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(k4_prvect_2(A))) => ( ( C = D & v3_normsp_1(B,k14_prvect_2(A)) & k5_normsp_1(k14_prvect_2(A),B) = C ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(A)) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k11_prvect_2(A,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_prvect_2(A,E))))) & v3_normsp_1(F,k11_prvect_2(A,E)) & k1_funct_1(D,E) = k5_normsp_1(k11_prvect_2(A,E),F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,k4_card_3(k4_prvect_2(A))) & H = k1_normsp_0(k14_prvect_2(A),B,G) & k1_normsp_0(k11_prvect_2(A,E),F,G) = k1_funct_1(H,E) ) ) ) ) ) ) ) ) ) )).
fof(t12_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_binop_1(C,D,E) = k10_finseq_1(D,E) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_prvect_3(A,B))) => k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B))),C,k3_rlvect_1(k5_prvect_3(A,B),D,E)) = k3_rlvect_1(k10_prvect_2(k10_finseq_1(A,B)),k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B))),C,D),k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(A,B))) => ! [E] : ( v1_xreal_0(E) => k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B))),C,k1_rlvect_1(k5_prvect_3(A,B),D,E)) = k1_rlvect_1(k10_prvect_2(k10_finseq_1(A,B)),k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k10_prvect_2(k10_finseq_1(A,B))),C,k4_struct_0(k5_prvect_3(A,B))) = k4_struct_0(k10_prvect_2(k10_finseq_1(A,B))) ) ) ) )).
fof(t12_pscomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( ( v1_pscomp_1(B,A) & v1_measure6(C) ) => v1_tops_2(k7_relset_1(k9_setfam_1(k1_numbers),k9_setfam_1(u1_struct_0(A)),k2_measure6(u1_struct_0(A),k1_numbers,B),C),A) ) ) ) ) )).
fof(t12_pua2mss1,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) ) => ! [B] : ( m1_eqrel_1(B,k9_xtuple_0(A)) => m1_eqrel_1(a_2_1_pua2mss1(A,B),A) ) ) )).
fof(t12_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( A = k6_xcmplx_0(k1_pepin(E),k1_pepin(D)) & B = k2_nat_1(k2_nat_1(2,D),E) & C = k1_nat_1(k1_pepin(E),k1_pepin(D)) ) => k1_nat_1(k1_pepin(A),k1_pepin(B)) = k1_pepin(C) ) ) ) ) ) ) )).
fof(t12_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)) => r6_pboole(A,B,C) ) ) ) )).
fof(t12_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( ( k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) = k5_numbers => B = k12_qc_lang1(A) ) & ( k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) = 1 => v3_qc_lang1(B,A) ) & ( k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) = 2 => v4_qc_lang1(B,A) ) & ( k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) = 3 => v5_qc_lang1(B,A) ) & ( ? [C] : ( v7_ordinal1(C) & m2_subset_1(k1_funct_1(k11_qc_lang1(A,B),1),k6_qc_lang1(A),k8_qc_lang1(A,C)) ) => v2_qc_lang1(B,A) ) ) ) ) )).
fof(t12_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k4_qc_lang2(A,B,C) = k4_qc_lang2(A,D,E) => ( B = D & C = E ) ) ) ) ) ) ) )).
fof(t12_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k24_qc_lang1(A,k15_qc_lang1(A,B,C)) = k7_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,C),k1_tarski(B)) ) ) ) )).
fof(t12_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ( r2_tarski(D,k1_trees_2(k9_xtuple_0(k2_qc_lang4(A,B)),C)) => r1_qc_lang2(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),D),k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C)) ) ) ) ) ) )).
fof(t12_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => k24_qc_lang1(A,C) = k24_qc_lang1(B,k1_qc_trans(A,B,C)) ) ) ) )).
fof(t12_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_qmax_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k5_qmax_1(A))) => ( ( r2_tarski(B,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) & r2_tarski(C,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) ) => ! [D] : ( m1_subset_1(D,k5_qmax_1(A)) => ! [E] : ( m1_subset_1(E,k5_qmax_1(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,B) & r2_tarski(k8_qmax_1(A,D),C) ) => r2_tarski(k8_qmax_1(A,E),C) ) ) ) ) ) ) ) )).
fof(t12_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,k6_algstr_0(A,B,C),D) <=> r3_lattices(A,B,k1_quantal1(A,C,D)) ) ) ) ) ) )).
fof(t12_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => k22_quaterni(k1_quatern2,A) = k5_numbers ) )).
fof(t12_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k1_square_1(k27_quaterni(A)) = k27_quaterni(k22_quaterni(A,k26_quaterni(A))) ) )).
fof(t12_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( k5_quaterni(A,B,C,D) = k5_quaterni(E,F,G,H) => ( A = E & B = F & C = G & D = H ) ) ) ) ) ) ) ) ) ) )).
fof(t12_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ! [D] : ( v1_xreal_0(D) => ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C),k5_numbers) ) & ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,k1_quin_1(A,B,C)) ) ) ) ) )).
fof(t12_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( k8_quofield(A,B,k11_quofield(A)) = B & k8_quofield(A,k11_quofield(A),B) = B ) ) ) )).
fof(t12_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => r1_tarski(k2_radix_1(A),k4_numbers) ) )).
fof(t12_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(B)) ) => ( C = D => k2_radix_2(A,B,C) = k7_radix_1(A,B,D) ) ) ) ) ) )).
fof(t12_radix_3,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k4_xcmplx_0(1),k5_radix_3(A,B)) & r1_xxreal_0(k5_radix_3(A,B),1) ) ) ) )).
fof(t12_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(B)) ) => ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => k4_radix_1(E,B,A,C) = k4_radix_1(E,B,A,D) ) ) => k8_radix_1(A,B,C) = k8_radix_1(A,B,D) ) ) ) ) ) ) )).
fof(t12_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) ) => k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,k10_radix_1(B,k2_xcmplx_0(A,2),k5_numbers))) = k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k6_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,k4_radix_5(k2_xcmplx_0(A,2),A,B))) ) ) ) ) )).
fof(t12_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(1,A) ) => r1_xxreal_0(k1_nat_1(B,1),k4_newton(B,k2_xcmplx_0(A,B))) ) ) ) )).
fof(t12_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( m2_finseq_1(E,A) => ( ( k3_finseq_1(D) = k4_card_1(A) & v2_funct_1(E) & k2_relset_1(A,E) = A & k3_finseq_1(E) = k4_card_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => k12_supinf_2(D,F) = k1_extreal1(k12_supinf_2(C,k1_funct_1(E,F)),k12_supinf_2(B,k1_tarski(k1_funct_1(E,F)))) ) ) ) => k1_mesfunc6(A,k1_random_1(A),k2_prob_4(A,k1_random_1(A),B),C) = k18_rvsum_1(D) ) ) ) ) ) ) )).
fof(t12_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(A)) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(B)) ) => ! [H] : ( ( v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( H = k2_zfmisc_1(F,G) & ! [I] : ! [J] : ( ( r2_tarski(I,F) & r2_tarski(J,G) ) => k1_binop_1(E,I,J) = k1_extreal1(k12_supinf_2(C,I),k12_supinf_2(D,J)) ) ) => k5_bhsp_5(k1_numbers,k2_zfmisc_1(A,B),k9_binop_2,H,E) = k3_xcmplx_0(k5_bhsp_5(k1_numbers,A,k9_binop_2,F,C),k5_bhsp_5(k1_numbers,B,k9_binop_2,G,D)) ) ) ) ) ) ) ) ) ) )).
fof(t12_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( m2_prob_1(E,A,C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k12_supinf_2(k1_random_3(A,B,C,D,k2_prob_4(A,C,E),F),B) = 1 ) ) ) ) ) ) )).
fof(t12_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => m1_subset_1(k2_ranknull(B,C,D,E),k1_zfmisc_1(u1_struct_0(k3_ranknull(A,B,C,D)))) ) ) ) ) ) )).
fof(t12_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ~ r1_xxreal_0(k5_xcmplx_0(k1_rat_1(A)),k5_numbers) ) )).
fof(t12_ratfunc1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k13_polynom3(A))) => ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(B,C) != k3_hurwitz(A,D,1) ) ) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( C = k3_group_4(k13_polynom3(A),B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k2_polynom4(A,C,D) = k4_struct_0(A) <=> ? [E] : ( v7_ordinal1(E) & r2_tarski(E,k4_finseq_1(B)) & k1_funct_1(B,E) = k3_hurwitz(A,D,1) ) ) ) ) ) ) ) ) )).
fof(t12_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ( v2_rcomp_1(A) & v4_xxreal_2(A) ) => ( A = k1_xboole_0 | r2_hidden(k2_seq_4(A),A) ) ) ) )).
fof(t12_rcomp_3,axiom,( ! [A] : ( v1_xreal_0(A) => k3_seq_4(k3_limfunc1(A)) = A ) )).
fof(t12_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_ordinal1,k2_real_3(B,A),1) = k3_nat_d(A,k8_nat_1(k4_ordinal1,k1_real_3(B,A),k5_numbers)) ) ) )).
fof(t12_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k4_real_lat(A),B,k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,C)),B) ) ) ) )).
fof(t12_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) => ( v1_rsspace3(B,k4_real_ns1(A)) => v3_normsp_1(B,k4_real_ns1(A)) ) ) ) )).
fof(t12_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k8_group_1(A,k5_algstr_0(A,B,C),D) = k5_algstr_0(A,k8_group_1(A,B,D),k8_group_1(A,C,D)) ) ) ) ) )).
fof(t12_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k1_realset3(A),k3_funct_2(u1_struct_0(A),u1_struct_0(A),k4_vectsp_1(A),B),C) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k4_vectsp_1(A),k4_binop_1(u1_struct_0(A),u1_algstr_0(A),B,C)) ) ) ) )).
fof(t12_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k3_finseq_1(k3_rfinseq(k20_rfunct_3(B,C,B))) = k3_finseq_1(k15_rfunct_3(A,D)) ) ) ) ) ) )).
fof(t12_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k10_xtuple_0(k2_xboole_0(A,B)) = k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) )).
fof(t12_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_relat_2(A) => ( k9_xtuple_0(A) = k9_xtuple_0(k2_relat_1(A)) & k10_xtuple_0(A) = k10_xtuple_0(k2_relat_1(A)) ) ) ) )).
fof(t12_relset_1,axiom,( ! [A] : ! [B] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(k2_zfmisc_1(A,B))) )).
fof(t12_relset_2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k9_relat_1(k6_subset_1(B,C),A) = k6_subset_1(k9_relat_1(B,A),k9_relat_1(C,A)) ) ) )).
fof(t12_revrot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ( ( r2_tarski(C,k10_xtuple_0(D)) & r1_xxreal_0(A,k3_finseq_1(D)) ) => ( r1_xxreal_0(A,k3_finseq_1(k2_finseq_5(B,D,C))) | k7_partfun1(B,k1_finseq_6(B,D,C),A) = k7_partfun1(B,D,k7_nat_d(k1_nat_1(A,k4_finseq_4(D,C)),k3_finseq_1(D))) ) ) ) ) ) ) )).
fof(t12_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : r1_rewrite1(A,B,B) ) )).
fof(t12_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ( r2_rewrite2(A,B,C,D) => ( r2_rewrite2(A,B,k1_flang_1(A,E,C),k1_flang_1(A,E,D)) & r2_rewrite2(A,B,k1_flang_1(A,C,E),k1_flang_1(A,D,E)) ) ) ) ) ) ) )).
fof(t12_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ~ ( k1_flang_1(A,D,B) = k1_flang_1(A,E,C) & ( r1_xxreal_0(k1_afinsq_1(D),k1_afinsq_1(E)) | r1_xxreal_0(k1_afinsq_1(C),k1_afinsq_1(B)) ) & ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ~ ( k1_flang_1(A,D,F) = E & B = k1_flang_1(A,F,C) ) ) ) ) ) ) ) ) )).
fof(t12_rfinseq,axiom,( k3_rfinseq(k6_finseq_1(k1_numbers)) = k6_finseq_1(k1_numbers) )).
fof(t12_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => ( k4_rfinseq2(k6_rvsum_1(A)) = k4_xcmplx_0(k3_rfinseq2(A)) & k2_rfinseq2(k6_rvsum_1(A)) = k1_rfinseq2(A) ) ) ) )).
fof(t12_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( v1_xcmplx_0(C) => k24_valued_1(k18_valued_1(A,B),C) = k18_valued_1(k24_valued_1(A,C),B) ) ) ) )).
fof(t12_rfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( r1_tarski(k2_relset_1(A,C),k1_relset_1(A,k6_rfunct_1(A,k1_numbers,B))) => r2_relset_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,C,k6_rfunct_1(A,k1_numbers,B)),k37_valued_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,C,B))) ) ) ) ) )).
fof(t12_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_classes1(C,D) <=> r2_classes1(k32_valued_1(A,k1_numbers,C),k32_valued_1(B,k1_numbers,D)) ) ) ) ) ) )).
fof(t12_rfunct_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ~ r1_xxreal_0(A,k5_numbers) => ( r1_rfunct_4(B,C) <=> r1_rfunct_4(k26_valued_1(k1_numbers,k1_numbers,B,A),C) ) ) ) ) )).
fof(t12_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_seq_2(A) <=> v1_seq_2(k32_valued_1(k4_ordinal1,k1_numbers,A)) ) ) )).
fof(t12_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r1_funct_2(k4_ordinal1,k6_numbers,k4_ordinal1,k1_numbers,A,B) => ( v2_rinfsup2(A) <=> v1_seq_2(B) ) ) ) ) )).
fof(t12_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => m1_subset_1(k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),C),u1_struct_0(k2_ring_1(A,B))) ) ) ) )).
fof(t12_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_mod_4(C,A,B) <=> k8_vectsp10(A,B,C) = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) ) ) )).
fof(t12_ringcat1,axiom,( ! [A] : ( ( v2_ringcat1(A) & v3_ringcat1(A) & l1_ringcat1(A) ) => ( ~ v1_xboole_0(k1_tarski(A)) & v5_ringcat1(k1_tarski(A)) ) ) )).
fof(t12_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_convex1(A,B,k5_numbers),k6_domain_1(u1_struct_0(A),k4_struct_0(A))) ) ) )).
fof(t12_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_rlvect_2(C,A,B) => ( ( v2_convex1(C,A) & k3_rlvect_2(A,C) = B ) => r2_tarski(k6_rlvect_2(A,C),k1_rlaffin2(A,B)) ) ) ) ) )).
fof(t12_rlaffin3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( k1_card_1(C) = k1_card_1(k1_convex1(B,C,A)) <=> ~ ( A = k5_numbers & ~ v1_zfmisc_1(C) ) ) ) ) ) )).
fof(t12_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => k4_struct_0(B) = k4_struct_0(C) ) ) ) )).
fof(t12_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k1_rlsub_2(A,k2_rlsub_1(A),k2_rlsub_1(A)) = A ) )).
fof(t12_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(k4_struct_0(A),C) => r1_tarski(B,k6_rusub_4(A,B,C)) ) ) ) ) )).
fof(t12_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => k4_algstr_0(A,k4_struct_0(A)) = k4_struct_0(A) ) )).
fof(t12_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(C,B) => k2_rlvect_2(A,k4_subset_1(u1_struct_0(A),C,B)) = k3_rlvect_1(A,k2_rlvect_2(A,C),k2_rlvect_2(A,B)) ) ) ) ) )).
fof(t12_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) => ( B = C | ( C != k4_struct_0(A) & ! [D] : ( v1_xreal_0(D) => B != k1_rlvect_1(A,C,D) ) ) ) ) & ( ! [D] : ( v1_xreal_0(D) => B != k1_rlvect_1(A,C,D) ) => ( C = k4_struct_0(A) | ( B != C & v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) ) ) ) ) ) ) ) )).
fof(t12_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_struct_0(k1_rlvect_3(A,k7_domain_1(u1_struct_0(A),B,C)),B) & r1_struct_0(k1_rlvect_3(A,k7_domain_1(u1_struct_0(A),B,C)),C) ) ) ) ) )).
fof(t12_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ~ ( r1_tarski(k3_rlvect_2(A,C),u1_struct_0(B)) & ! [D] : ( m1_rlvect_2(D,B) => ~ ( k3_rlvect_2(B,D) = k3_rlvect_2(A,C) & k6_rlvect_2(B,D) = k6_rlvect_2(A,C) ) ) ) ) ) ) )).
fof(t12_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(A,C) => r2_tarski(A,k2_rlvect_x(B,C)) ) ) ) )).
fof(t12_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => k4_struct_0(C) = k4_struct_0(D) ) ) ) ) )).
fof(t12_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_vectsp_2(B,A) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => k1_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B ) ) )).
fof(t12_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_rmod_4(A,B,k7_subset_1(u1_struct_0(B),D,C)) = k5_algstr_0(B,k1_rmod_4(A,B,k4_subset_1(u1_struct_0(B),D,C)),k1_rmod_4(A,B,C)) ) ) ) ) )).
fof(t12_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_robbins1(A,B,B) = B ) ) )).
fof(t12_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,B,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,C,D)),k3_robbins1(A,k1_lattices(A,D,B)))))) = k3_robbins1(A,k1_lattices(A,D,B)) ) ) ) ) )).
fof(t12_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & v7_lattices(A) ) => v7_lattices(B) ) ) ) )).
fof(t12_robbins4,axiom,( k3_lattice3(g3_lattices(u1_struct_0(k2_robbins4),u2_lattices(k2_robbins4),u1_lattices(k2_robbins4))) = k1_robbins4 )).
fof(t12_rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(k2_rcomp_1(A,B),k1_relset_1(k1_numbers,C)) & r2_fdiff_1(C,k2_rcomp_1(A,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k2_rcomp_1(A,B)) => r1_xxreal_0(k1_fdiff_1(C,D),k5_numbers) ) ) ) => v8_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(A,B))) ) ) ) ) )).
fof(t12_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_roughs_1(A,B),B) ) ) )).
fof(t12_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A,k9_subset_1(u1_struct_0(A),B,C)) = k9_subset_1(u1_struct_0(A),k3_roughs_1(A,B),k3_roughs_1(A,C)) ) ) ) )).
fof(t12_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_roughs_1(A,B) = k2_tops_1(A,B) ) ) )).
fof(t12_rpr_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_card_1(B,1) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v3_card_1(C,1) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( B = C | r1_subset_1(B,C) ) ) ) ) )).
fof(t12_rsspace,axiom,( m1_rlsub_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace)),k4_rsspace) )).
fof(t12_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_rsspace4(C,A,B) <=> v4_xxreal_2(k7_rsspace4(A,B,C)) ) ) ) ) )).
fof(t12_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => r1_struct_0(C,k4_struct_0(B)) ) ) ) )).
fof(t12_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_bhsp_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => k1_rusub_2(A,k2_rusub_1(A),k2_rusub_1(A)) = A ) )).
fof(t12_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k1_rusub_3(A,B) = A & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(C,B) & v1_rlvect_3(C,A) & k1_rusub_3(A,C) = A ) ) ) ) ) )).
fof(t12_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ( k1_rusub_4(A) = k5_numbers <=> k2_rusub_1(A) = k1_rusub_1(A) ) ) )).
fof(t12_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r2_tarski(k4_struct_0(A),k1_rusub_5(A,B,B)) ) ) )).
fof(t12_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k4_rvsum_1(k6_finseq_1(k1_numbers),A) = k6_finseq_1(k1_numbers) ) )).
fof(t12_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ( k7_rvsum_2(k6_finseq_1(k2_numbers),A) = k6_finseq_1(k2_numbers) & k7_rvsum_2(A,k6_finseq_1(k2_numbers)) = k6_finseq_1(k2_numbers) ) ) )).
fof(t12_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ( k4_rvsum_3(A) = k5_numbers => v3_funct_1(A) ) ) )).
fof(t12_scm_1,axiom,( k4_xtuple_0(k2_compos_1(k1_ami_3)) = k5_numbers & ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k4_xtuple_0(k2_ami_3(A,B)) = 1 ) ) & ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k4_xtuple_0(k3_ami_3(A,B)) = 2 ) ) & ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k4_xtuple_0(k4_ami_3(A,B)) = 3 ) ) & ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k4_xtuple_0(k5_ami_3(A,B)) = 4 ) ) & ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => k4_xtuple_0(k6_ami_3(A,B)) = 5 ) ) & ! [A] : ( m1_subset_1(A,k4_ordinal1) => k4_xtuple_0(k7_ami_3(A)) = 6 ) & ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k4_xtuple_0(k8_ami_3(B,A)) = 7 ) ) & ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k4_xtuple_0(k9_ami_3(B,A)) = 8 ) ) )).
fof(t12_scm_comp,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_tarski(k61_valued_1(k15_scm_comp(B,C),D),A) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) & v5_memstr_0(E,k5_card_1(2),k1_ami_3,D) ) => ~ ( ~ r1_xxreal_0(C,k17_scm_comp(B)) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_ami_3)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(G,u1_struct_0(k1_ami_3)) ) => ~ ( G = k5_extpro_1(k5_card_1(2),k1_ami_3,A,E,k1_nat_1(F,1)) & k1_nat_1(F,1) = k1_afinsq_1(k15_scm_comp(B,C)) & k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,A,E,F)) = k1_nat_1(D,F) & k5_memstr_0(k5_card_1(2),k1_ami_3,G) = k1_nat_1(D,k1_nat_1(F,1)) & k1_funct_1(G,k10_ami_3(C)) = k12_scm_comp(E,B) & ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ~ r1_xxreal_0(C,H) => k1_funct_1(E,k10_ami_3(H)) = k1_funct_1(G,k10_ami_3(H)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A) & r1_tarski(k1_scmfsa6a(C),B) & r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),A) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A),1))) ) ) ) ) )).
fof(t12_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ! [C] : ( m1_scmfsa_2(C) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(B,k10_xtuple_0(A)) => ( ( B != k16_scmfsa_2(D,C) & B != k17_scmfsa_2(D,C) ) | r2_tarski(C,k6_sf_mastr(A)) ) ) ) ) ) ) )).
fof(t12_scmfsa10,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k2_compos_0(k8_scmfsa_2(A,B)) = k1_xboole_0 ) ) )).
fof(t12_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ( ( r1_tarski(B,D) & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,D,A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(D,k2_scmfsa6a(B,C)),A,E)) ) ) ) ) ) ) ) )).
fof(t12_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( v7_ordinal1(C) => ~ r3_scmfsa7b(k12_scmfsa_2(C,B),A) ) ) ) )).
fof(t12_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_scmfsa7b(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_scmfsa7b(B) ) => v1_scmfsa7b(k1_funct_4(A,B)) ) ) )).
fof(t12_scmfsa8b,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => k4_card_1(k2_scmfsa8b(C,A,B)) = k1_nat_1(k1_nat_1(k4_card_1(A),k4_card_1(B)),4) ) ) ) )).
fof(t12_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ( r2_tarski(k5_compos_0(u1_compos_1(k1_scmfsa_2),B),k2_enumset1(k5_numbers,6,7,8)) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,A) ) ) ) )).
fof(t12_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k6_sf_mastr(k3_scmfsa_x(A,B)) = k6_sf_mastr(B) ) ) )).
fof(t12_scmfsa_2,axiom,( ! [A] : ( m1_scmfsa_2(A) => k4_memstr_0(k5_card_1(3),k1_scmfsa_2,A) = k3_finseq_2(k4_numbers) ) )).
fof(t12_scmfsa_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( v7_ordinal1(I) => ( k3_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)) = k13_scmfsa_2(I,H) => ( I = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)),1) | ( ~ ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),H),k5_numbers) & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),H),k5_numbers) ) & ~ ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),H),k5_numbers) & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),H),k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_scmfsa_m,axiom,( k1_funct_1(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)),k4_scmfsa_2(k5_numbers)) = 1 )).
fof(t12_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k3_scmfsa_x(A,B),2) = k11_scmfsa_2(k1_nat_1(k4_card_1(B),4)) ) ) )).
fof(t12_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(A,B,C,E),k1_nat_1(D,1)),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(A,B,C,E),D),B,C,E),1)) ) ) ) ) ) )).
fof(t12_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) = 5 & ~ r1_xxreal_0(k1_funct_1(B,k3_scmp_gcd),k5_numbers) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3))) & r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3)),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2))) & ! [C] : ( v7_ordinal1(C) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(B,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k3_scmp_gcd) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)) = k3_int_2(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k2_xcmplx_0(k1_funct_1(B,k3_scmp_gcd),1)) => ( r1_xxreal_0(D,1) | k1_funct_1(B,k1_scmp_gcd(D)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k1_scmp_gcd(D)) ) ) ) ) ) ) ) ) )).
fof(t12_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => k5_compos_0(u1_compos_1(k1_scmpds_2),k3_scmpds_2(A)) = 14 ) )).
fof(t12_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(D) & v4_extpro_1(D,k5_card_1(2),k1_scmpds_2,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_tarski(D,E) & r1_tarski(D,F) & r1_tarski(C,A) & r1_tarski(C,B) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v1_int_1(H) => ! [I] : ( v1_int_1(I) => ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) = k12_scmpds_2(J,K,H,I) & r2_tarski(J,k9_xtuple_0(D)) & r2_tarski(k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),J),H),k9_xtuple_0(D)) ) => k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),K),I)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),K),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k1_scmpds_4(k3_scmpds_4(B,A),C) = k1_scmpds_4(B,k2_scmpds_4(A,C)) ) ) ) )).
fof(t12_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => r1_tarski(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(A,B))) ) ) )).
fof(t12_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) = B => k17_scmpds_2(A,C) = k2_xcmplx_0(B,C) ) ) ) ) )).
fof(t12_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( r1_scmpds_6(E,C,A) & r2_scmpds_6(E,C,A) & r1_tarski(k10_compos_1(k1_scmpds_2,E),A) & r1_tarski(k10_compos_1(k1_scmpds_2,E),B) ) => ( ! [F] : ( v7_ordinal1(F) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,F) != D ) | k6_extpro_1(k5_card_1(2),k1_scmpds_2,A,C) = k6_extpro_1(k5_card_1(2),k1_scmpds_2,B,D) ) ) ) ) ) ) ) )).
fof(t12_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F))) => k1_funct_1(k6_scmpds_4(k1_scmpds_8(D,F,C),B,A),E) = k1_funct_1(B,E) ) ) ) ) ) ) ) )).
fof(t12_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,C,k14_scmpds_2(A,B,D,E)) = k1_tarski(k1_nat_1(C,1)) ) ) ) ) ) )).
fof(t12_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => ! [C] : ( m2_subset_1(C,k1_ami_2,k2_ami_2) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m2_subset_1(E,k1_ami_2,k2_ami_2) => ( E != C => k1_funct_1(k4_scmring1(A,B,C,D),E) = k1_funct_1(B,E) ) ) ) ) ) ) )).
fof(t12_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(D,u1_struct_0(k1_scmring2(A))) ) => ( k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k4_scmring2(A,B,C),D),k4_struct_0(k1_scmring2(A))) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(A),D),1) & k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k4_scmring2(A,B,C),D),B) = k1_algstr_0(A,k2_scmring2(A,D,B),k2_scmring2(A,D,C)) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmring2(A))) ) => ( E != B => k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k4_scmring2(A,B,C),D),E) = k2_scmring2(A,D,E) ) ) ) ) ) ) ) )).
fof(t12_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = k5_numbers => B = k2_compos_1(k1_scmring2(A)) ) ) ) )).
fof(t12_scmring4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmring2(B))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(C,u1_struct_0(k1_scmring2(B))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(B))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & v1_partfun1(D,u1_struct_0(k1_scmring2(B))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmring2(B))) & v1_funct_1(E) & v1_finset_1(E) & ~ v2_compos_1(E,k1_scmring2(B)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmring2(B))) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmring2(B))) & ~ v1_xboole_0(F) & v1_finset_1(F) & v4_extpro_1(F,k5_card_1(2),k1_scmring2(B),E) ) => ( ( r1_tarski(F,C) & r1_tarski(k9_memstr_0(k5_card_1(2),k1_scmring2(B),F,A),D) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmring2(B))) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmring2(B))) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( r1_tarski(E,G) & r1_tarski(k6_compos_1(k1_scmring2(B),E,A),H) ) => ! [I] : ( v7_ordinal1(I) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I)),A) = k5_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) & k8_compos_0(u1_compos_1(k1_scmring2(B)),k3_extpro_1(k5_card_1(2),k1_scmring2(B),G,k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I)),A) = k3_extpro_1(k5_card_1(2),k1_scmring2(B),H,k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) & k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,C,I),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) = k5_relat_1(k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I),k9_xtuple_0(k6_memstr_0(k5_card_1(2),k1_scmring2(B),F))) & k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),G,k1_funct_4(C,k6_memstr_0(k5_card_1(2),k1_scmring2(B),D)),I)) = k6_memstr_0(k5_card_1(2),k1_scmring2(B),k5_extpro_1(k5_card_1(2),k1_scmring2(B),H,D,I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(k2_tarski(B,C),A) => ( B = C | r2_tarski(k2_tarski(B,C),k1_scmyciel(A)) ) ) )).
fof(t12_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E)) = k5_numbers => ( r1_scmpds_6(k3_scpinvar(D,E,C),B,A) & r2_scmpds_6(k3_scpinvar(D,E,C),B,A) ) ) ) ) ) ) ) )).
fof(t12_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) ) => ! [G] : ( v1_int_1(G) => ! [H] : ( v1_int_1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_funct_1(B,F),H),k1_funct_1(B,E)) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ( ( r1_xxreal_0(k2_xcmplx_0(k1_funct_1(J,F),H),k1_funct_1(J,E)) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),D) = k1_funct_1(J,D) & k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),k2_scmpds_2(k1_funct_1(B,D),G)) = k6_xcmplx_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),G)),I) & r1_scmpds_6(C,J,K) & r2_scmpds_6(C,J,K) & r1_xxreal_0(k2_xcmplx_0(k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),F),H),k1_funct_1(k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),J,K),E)) ) ) ) ) ) ) => ( r1_xxreal_0(I,k5_numbers) | r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),G)),k5_numbers) | k6_scmpds_4(k2_scmpds_7(D,G,I,C),B,A) = k6_scmpds_4(k2_scmpds_7(D,G,I,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scmpds_4(C,k11_scmpds_2(D,G,k4_xcmplx_0(I))),B,A)),A) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_scpqsort,axiom,( v2_compos_1(k1_scpqsort,k1_scmpds_2) & v3_scmpds_4(k1_scpqsort) )).
fof(t12_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r2_analoaf(A,B,C,B,D) & E != F & r2_analoaf(A,E,F,E,B) & r2_analoaf(A,E,F,E,C) & r2_analoaf(A,E,F,E,D) ) ) ) ) ) ) ) )).
fof(t12_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,B,k56_valued_1(k4_ordinal1,k1_numbers,A)) <=> ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k9_complex1(k8_nat_1(k1_numbers,A,C)) ) ) ) ) )).
fof(t12_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) ) => k1_seq_2(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) = k6_xcmplx_0(k1_seq_2(A),k1_seq_2(B)) ) ) ) )).
fof(t12_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v5_xxreal_2(A) => ( v1_xboole_0(A) | ( ~ ( ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & r2_hidden(B,A) & r2_hidden(C,A) & C != B ) ) & r1_xxreal_0(k2_seq_4(A),k3_seq_4(A)) ) & ~ ( ~ r1_xxreal_0(k2_seq_4(A),k3_seq_4(A)) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(B,A) & r2_hidden(C,A) & C != B ) ) ) ) ) ) ) ) )).
fof(t12_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v8_valued_0(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k8_nat_1(k1_numbers,A,B),k8_nat_1(k1_numbers,A,k5_numbers)) ) ) ) )).
fof(t12_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_series_1(A) => ! [B] : ( v7_ordinal1(B) => v1_series_1(k1_valued_0(k1_numbers,A,B)) ) ) ) )).
fof(t12_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(B,2) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),6) ) ) ) )).
fof(t12_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),B),C),k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k1_newton(B,3)),k1_newton(C,3))) ) ) ) )).
fof(t12_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k1_nat_1(k2_xcmplx_0(k1_newton(10,C),k3_xcmplx_0(2,C)),1) ) => k8_nat_1(k1_numbers,k3_series_1(B),A) = k2_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k11_newton(10,k1_nat_1(A,1)),9),k7_xcmplx_0(1,9)),k11_newton(k1_nat_1(A,1),2)) ) ) ) )).
fof(t12_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => r1_xxreal_0(k7_xcmplx_0(2,k2_xcmplx_0(k7_xcmplx_0(1,A),k7_xcmplx_0(1,B))),k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),2))) ) ) )).
fof(t12_setfam_1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_setfam_1(A,B) ) )).
fof(t12_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_funct_1(B) => k1_kurato_0(A,B) = k3_prob_1(A,B) ) ) )).
fof(t12_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k3_prob_1(A,k1_setlim_2(A,B,C)) = k9_subset_1(A,k3_prob_1(A,B),k3_prob_1(A,C)) ) ) )).
fof(t12_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k5_finsub_1(A)) => ~ ( B != k1_xboole_0 & ! [C] : ( m1_subset_1(C,A) => ~ r2_tarski(C,B) ) ) ) ) )).
fof(t12_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(B,B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(F,B) & v2_binop_1(F,B) & v1_setwiseo(F,B) & E = k3_binop_1(B,F) & r6_binop_1(B,G,F) & k4_binop_1(B,G,D,E) = E ) => k4_binop_1(B,G,D,k7_setwiseo(A,B,F,C,H)) = k7_setwiseo(A,B,F,C,k10_funcop_1(B,A,G,D,H)) ) ) ) ) ) ) ) ) ) )).
fof(t12_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_scmfsa_2(C) => ! [D] : ( m1_scmfsa_2(D) => ( k17_scmfsa_2(A,C) = k17_scmfsa_2(B,D) => ( A = B & C = D ) ) ) ) ) ) )).
fof(t12_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v4_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) ) => ! [D] : ( m1_scmfsa_2(D) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v1_scmfsa7b(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( v6_amistd_1(E,k5_card_1(3),k1_scmfsa_2) | r5_scmfsa7b(E,k1_scmfsa_m(B),A) ) => k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa6a(E,C),B,A),D) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa6b(E,B,A)),D) ) ) ) ) ) ) )).
fof(t12_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(E) ) => ( ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k1_funct_4(B,k1_sfmastr2(C,E))) ) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),k1_nat_1(D,1)),k4_scmfsa_2(k5_numbers)) = 1 & ( ~ r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(E)))),k5_numbers) => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),k1_nat_1(D,1)),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(E)))) = k6_xcmplx_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(E)))),1) ) ) ) ) ) ) ) ) )).
fof(t12_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( B != C => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,E,A),k5_numbers),C) = k1_funct_1(A,C) ) ) ) ) ) ) ) )).
fof(t12_sgraph1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k2_sgraph1(A),k2_sgraph1(B)) ) )).
fof(t12_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => v14_lattices(A) ) )).
fof(t12_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,B))) = k5_sheffer1(A,B,B) ) ) ) )).
fof(t12_simplex0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_setfam_1(B) & v6_ordinal1(B) & r2_tarski(A,B) & k1_card_1(A) = k1_card_1(B) & ! [C] : ~ ( r2_tarski(C,B) & k1_card_1(C) != 1 & ! [D] : ~ ( r2_tarski(D,C) & r2_tarski(k6_subset_1(C,k1_tarski(D)),B) ) ) ) ) )).
fof(t12_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => m1_simplex1(k5_simplex0(u1_struct_0(B),u1_pre_topc(B)),A,B) ) ) )).
fof(t12_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_rlaffin1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [D] : ( m2_rlaffin3(D,k15_euclid(A),C) => ( ~ v1_xboole_0(k7_subset_1(k4_ordinal1,k4_finseq_1(D),B)) => k3_convex1(k15_euclid(A),k7_relset_1(k4_ordinal1,u1_struct_0(k15_euclid(A)),D,B)) = k1_setfam_1(a_4_0_simplex2(A,B,C,D)) ) ) ) ) )).
fof(t12_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,k10_comseq_3(k10_sin_cos(k1_nat_1(C,1),B,A)),C) = k2_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(k10_sin_cos(C,B,A)),C),k8_nat_1(k2_numbers,k10_comseq_3(k9_sin_cos(k1_nat_1(C,1),B,A)),C)) ) ) ) )).
fof(t12_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k22_sin_cos,k2_xcmplx_0(A,B)) = k3_xcmplx_0(k1_funct_1(k22_sin_cos,A),k1_funct_1(k22_sin_cos,B)) ) ) )).
fof(t12_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k10_funct_2(k2_numbers,k2_numbers,k3_sin_cos3,k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k7_partfun1(k2_numbers,k3_sin_cos3,A),k7_partfun1(k2_numbers,k4_sin_cos3,B)),k3_xcmplx_0(k7_partfun1(k2_numbers,k4_sin_cos3,A),k7_partfun1(k2_numbers,k3_sin_cos3,B))) ) ) )).
fof(t12_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( k19_sin_cos(A) != k5_numbers & k19_sin_cos(B) != k5_numbers & k19_sin_cos(C) != k5_numbers & k19_sin_cos(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) != k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k19_sin_cos(A),k19_sin_cos(B)),k19_sin_cos(C)),k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(1,k3_xcmplx_0(k1_sin_cos4(B),k1_sin_cos4(C))),k3_xcmplx_0(k1_sin_cos4(C),k1_sin_cos4(A))),k3_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)))) ) ) ) ) )).
fof(t12_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k2_sin_cos4(A) = k7_xcmplx_0(1,k1_sin_cos4(A)) ) )).
fof(t12_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( ~ r1_xxreal_0(A,k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) & ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(k5_numbers,k17_sin_cos(A)) ) ) ) )).
fof(t12_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( A != 1 & r1_xxreal_0(k1_square_1(k6_xcmplx_0(1,A)),k5_numbers) ) ) )).
fof(t12_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k6_xcmplx_0(k1_square_1(k2_sin_cos2(A)),k1_square_1(k4_sin_cos2(B))) = k6_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(k2_xcmplx_0(A,B)),k2_sin_cos2(k6_xcmplx_0(A,B))),1) ) ) )).
fof(t12_sin_cos9,axiom,( k2_relset_1(k1_numbers,k2_sin_cos9) = k2_rcomp_1(k5_numbers,k28_sin_cos) )).
fof(t12_sincos10,axiom,( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t12_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => r1_sppol_1(A,C,k1_rltopsp1(k15_euclid(A),B,C)) ) ) ) )).
fof(t12_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k3_topreal1(2,k12_finseq_1(u1_struct_0(k15_euclid(2)),A)) = k1_xboole_0 ) )).
fof(t12_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k25_pscomp_1(A),A) & r2_tarski(k24_pscomp_1(A),A) ) ) )).
fof(t12_sprect_2,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,A) & k17_euclid(B) = k6_pscomp_1(A) ) => r2_tarski(B,k14_pscomp_1(A)) ) ) ) )).
fof(t12_sprect_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k1_matrix_0(D)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(D)) ) => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,B)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,C))) ) ) ) ) ) )).
fof(t12_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k10_xtuple_0(A)) & r2_tarski(C,k10_xtuple_0(A)) & r2_tarski(D,k10_xtuple_0(A)) & r1_xxreal_0(k4_finseq_4(A,B),k4_finseq_4(A,C)) ) => ( r1_xxreal_0(k4_finseq_4(A,D),k4_finseq_4(A,C)) | r1_xxreal_0(k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)),A,D),B),k4_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(2)),A,D),C)) ) ) ) ) ) ) )).
fof(t12_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( k5_numbers != A & r1_xxreal_0(k1_square_1(A),k5_numbers) ) ) )).
fof(t12_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v2_srings_1(B,A) ) )).
fof(t12_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m2_finseq_2(B,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & k9_stacks_1(A,C) = B ) ) ) )).
fof(t12_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ( r1_tarski(B,k5_card_1(A)) => r1_xxreal_0(k3_nat_1(B),k6_xcmplx_0(A,1)) ) ) ) )).
fof(t12_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ( r2_tarski(B,k9_xtuple_0(k19_substut1(A,E))) => k3_funct_2(k3_qc_lang1(A),C,k1_sublemma(A,C,D,k3_sublemma(A,E,C,D)),B) = k1_funct_1(k3_sublemma(A,E,C,D),B) ) ) ) ) ) ) )).
fof(t12_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_tarski(B,C) <=> r1_tarski(k3_subset_1(A,C),k3_subset_1(A,B)) ) ) ) )).
fof(t12_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => r1_tarski(k3_substlat(A,B,k1_finsub_1(k5_finsub_1(k4_partfun1(A,B)),C,D)),k1_finsub_1(k5_finsub_1(k4_partfun1(A,B)),k3_substlat(A,B,C),D)) ) ) )).
fof(t12_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ~ ( ~ v2_substut1(B,A) & ~ v4_substut1(B,A) & ~ v5_substut1(B,A) & ~ v6_substut1(B,A) & ~ v7_substut1(B,A) ) ) ) )).
fof(t12_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => ? [D] : ( m2_subset_1(D,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,D) = B & k19_substut1(A,D) = C ) ) ) ) )).
fof(t12_supinf_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( m1_xxreal_2(B,A) <=> m2_xxreal_2(k2_supinf_2(B),k6_supinf_2(A)) ) ) ) )).
fof(t12_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_orders_2(B,k5_algstr_0(B,E,k3_vectsp_1(A,B,F,D)),C) & r1_orders_2(B,k5_algstr_0(B,E,k3_vectsp_1(A,B,G,D)),C) ) => ( r1_orders_2(B,D,C) | F = G ) ) ) ) ) ) ) ) ) )).
fof(t12_sysrel,axiom,( ! [A] : k3_relat_1(k4_relat_1(A),k4_relat_1(A)) = k4_relat_1(A) )).
fof(t12_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_t_0topsp(A),D)) = k1_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) )).
fof(t12_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_taxonom1(k1_tarski(k1_tarski(A)),A) ) )).
fof(t12_taxonom2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v4_taxonom2(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ! [D] : ( r2_tarski(D,C) => ( r1_xboole_0(B,D) & A != k1_xboole_0 ) ) => ( v4_taxonom2(k2_xboole_0(C,k1_tarski(B))) & m1_subset_1(k2_xboole_0(C,k1_tarski(B)),k1_zfmisc_1(k1_zfmisc_1(A))) & ~ ( B != k1_xboole_0 & k3_tarski(k2_xboole_0(C,k1_tarski(B))) = k5_setfam_1(A,C) ) ) ) ) ) )).
fof(t12_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_power(k4_power,k23_sin_cos(A)) = A ) )).
fof(t12_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k7_xcmplx_0(k3_xcmplx_0(A,k1_newton(B,E)),k2_newton(E))) ) ) ) ) ) ) ) )).
fof(t12_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(C,k5_numbers) => k8_metric_1(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(t12_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_tdgroup(A,B,D,D,C) ) ) ) ) )).
fof(t12_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),B,k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,C)),C)))),k9_subset_1(u1_struct_0(A),B,k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,C)),C))) = k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),B,C))),k9_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t12_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => ( r1_tarski(k6_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B)),k2_pre_topc(A,C)) & r1_tarski(k2_pre_topc(A,C),k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B))) ) ) ) ) ) )).
fof(t12_tdlat_3,axiom,( ! [A] : ( ( v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r2_tarski(k6_subset_1(u1_struct_0(A),B),u1_pre_topc(A)) ) ) )).
fof(t12_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r6_pboole(A,k2_termord(A,B,C,D),C) | r6_pboole(A,k2_termord(A,B,C,D),D) ) ) ) ) ) )).
fof(t12_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B != u1_struct_0(A) => k1_tops_1(A,B) = k1_xboole_0 ) ) => v2_tdlat_3(A) ) ) )).
fof(t12_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v1_tdlat_3(A) ) => v1_tdlat_3(B) ) ) ) )).
fof(t12_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_pre_topc(C,A) => ( m1_pre_topc(B,C) => v1_tex_3(C,A) ) ) ) ) )).
fof(t12_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_tarski(k6_domain_1(u1_struct_0(A),B),k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B))) ) ) )).
fof(t12_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r1_tsep_1(C,D) | r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(G,u1_struct_0(C)) => k1_funct_1(k10_tmap_1(A,B,C,D,E,F),G) = k1_funct_1(E,G) ) & ( r2_tarski(G,u1_struct_0(D)) => k1_funct_1(k10_tmap_1(A,B,C,D,E,F),G) = k1_funct_1(F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => k1_tops_1(k15_euclid(A),k3_tietze_2(A,B,k2_finseq_2(A,C))) = k2_tietze_2(A,B,C) ) ) ) ) )).
fof(t12_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( ~ r1_tsep_1(B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_tsep_1(A,B,C))) => ( ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & E = D ) & ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & E = D ) ) ) ) ) ) ) )).
fof(t12_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => m1_toler_1(k1_xboole_0,A,B) ) )).
fof(t12_topalg_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k14_euclid(C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k14_euclid(C))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k15_euclid(C))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k15_euclid(C))) => ! [L] : ( m1_subset_1(L,u1_struct_0(k15_euclid(C))) => ! [M] : ( m1_subset_1(M,u1_struct_0(k15_euclid(C))) => ~ ( D = J & E = K & F = L & G = M & H = k3_rlvect_1(k15_euclid(C),J,L) & I = k3_rlvect_1(k15_euclid(C),K,M) & ~ r1_xxreal_0(A,k3_metric_1(k14_euclid(C),D,E)) & ~ r1_xxreal_0(B,k3_metric_1(k14_euclid(C),F,G)) & r1_xxreal_0(k2_xcmplx_0(A,B),k3_metric_1(k14_euclid(C),H,I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_topalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => r4_borsuk_2(A,B,C,D,E) ) ) ) ) ) )).
fof(t12_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v4_taxonom2(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v2_connsp_1(C,A) & r2_tarski(D,B) & m1_setfam_1(B,C) ) => ( r1_xboole_0(D,C) | r1_tarski(C,D) ) ) ) ) ) )).
fof(t12_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => r1_borsuk_6(B,E,F) ) ) ) ) ) ) ) )).
fof(t12_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v1_connsp_2(A) ) => v1_connsp_2(B) ) ) ) )).
fof(t12_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_topalg_6(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_borsuk_6(A,B,C) & ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => k6_eqrel_1(k1_topalg_1(A,B,C),k1_topalg_1(A,B,C),k3_topalg_1(A,B,C),D) = k6_eqrel_1(k1_topalg_1(A,B,C),k1_topalg_1(A,B,C),k3_topalg_1(A,B,C),E) ) ) ) ) ) ) ) )).
fof(t12_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_group_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) ) => ! [B] : ( ( v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => ! [E] : ( ( v3_funct_1(E) & m1_borsuk_2(E,A,B,B) ) => r3_borsuk_2(A,B,B,k5_topalg_7(A,B,C,D),k5_topalg_7(A,B,k1_borsuk_2(A,B,B,B,C,E),k1_borsuk_2(A,B,B,B,E,D))) ) ) ) ) ) )).
fof(t12_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v2_topdim_1(B,A) & r1_tarski(C,B) ) => ( v2_topdim_1(C,A) & r1_xxreal_0(k3_topdim_1(A,C),k3_topdim_1(A,B)) ) ) ) ) ) )).
fof(t12_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( ( v3_topdim_1(B) & v5_waybel23(B) & r1_xxreal_0(k4_topdim_1(B),A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v4_pre_topc(C,B) & v4_pre_topc(D,B) & r1_xboole_0(C,D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r2_metrizts(B,C,D,E) & r1_xxreal_0(k2_topdim_1(B,E),k3_xxreal_3(A,1)) ) ) ) ) ) ) ) ) )).
fof(t12_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_tops_1(A,k9_subset_1(u1_struct_0(A),B,C)),k4_subset_1(u1_struct_0(A),k9_subset_1(u1_struct_0(A),k2_pre_topc(A,B),k2_tops_1(A,C)),k9_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_pre_topc(A,C)))) ) ) ) )).
fof(t12_topgen_2,axiom,( ! [A] : k1_card_1(k10_eqrel_1(A)) = k1_card_1(A) )).
fof(t12_topgen_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( v3_pre_topc(k2_rcomp_1(A,B),k2_topgen_3) & m1_subset_1(k2_rcomp_1(A,B),k1_zfmisc_1(u1_struct_0(k2_topgen_3))) ) ) ) )).
fof(t12_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_topgen_4(B,A) => r2_tarski(k1_xboole_0,B) ) ) )).
fof(t12_topgen_5,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v3_pre_topc(C,A) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(B)) & v5_pre_topc(D,k1_pre_topc(A,C),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,C)),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(A,k3_subset_1(u1_struct_0(A),C))),u1_struct_0(B)) & v5_pre_topc(E,k1_pre_topc(A,k3_subset_1(u1_struct_0(A),C)),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,k3_subset_1(u1_struct_0(A),C))),u1_struct_0(B)))) ) => ( v1_funct_1(k1_funct_4(D,E)) & v1_funct_2(k1_funct_4(D,E),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_funct_4(D,E),A,B) & m1_subset_1(k1_funct_4(D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(t12_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => v2_funct_1(k3_group_1(A)) ) )).
fof(t12_topmetr,axiom,( ! [A] : ( l1_metric_1(A) => ( u1_struct_0(A) = u1_struct_0(k3_pcomps_1(A)) & u1_pre_topc(k3_pcomps_1(A)) = k2_pcomps_1(A) ) ) )).
fof(t12_topmetr3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( v3_xxreal_2(A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( v8_valued_0(B) & v2_comseq_2(B) & r1_tarski(k2_relset_1(k1_numbers,B),A) & k1_seq_2(B) = k3_seq_4(A) ) ) ) ) )).
fof(t12_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( k9_subset_1(u1_struct_0(k15_euclid(A)),k1_rltopsp1(k15_euclid(A),B,C),k1_rltopsp1(k15_euclid(A),C,D)) = k1_tarski(C) => ( ( B = C & C = D ) | r1_topreal1(k15_euclid(A),B,D,k4_subset_1(u1_struct_0(k15_euclid(A)),k1_rltopsp1(k15_euclid(A),B,C),k1_rltopsp1(k15_euclid(A),C,D))) ) ) ) ) ) ) )).
fof(t12_topreal3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r2_tarski(A,k1_rltopsp1(k15_euclid(2),k19_euclid(C,B),k19_euclid(D,B))) => k18_euclid(A) = B ) ) ) ) ) )).
fof(t12_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) = k17_euclid(A) & v4_topreal1(B) & r2_tarski(A,k2_topreal1(2,B,1)) & C = k3_finseq_4(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k7_xcmplx_0(k2_xcmplx_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k18_euclid(A)),2)),A) ) => ( A = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) | ( v4_topreal1(C) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) = A & r1_topreal4(k3_topreal1(2,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,C),k3_topreal1(2,B)) & k3_topreal1(2,C) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),1,B)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A)) ) ) ) ) ) ) )).
fof(t12_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ~ ( v5_pre_topc(B,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(C,k5_topmetr,k3_topmetr) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r2_hidden(D,u1_struct_0(k5_topmetr)) & E = k1_funct_1(B,D) ) => k17_euclid(E) = k1_funct_1(C,D) ) ) ) ) ) ) ) ) )).
fof(t12_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( r2_tarski(B,k4_finseq_1(k3_euclid(C))) & A = k1_funct_1(C,B) ) => k1_funct_1(k3_euclid(C),B) = k9_complex1(A) ) ) ) ) )).
fof(t12_topreal7,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) ) => k12_rvsum_1(k4_rvsum_1(k8_finseq_1(k1_numbers,A,B),k8_finseq_1(k1_numbers,C,D))) = k8_finseq_1(k1_numbers,k12_rvsum_1(k4_rvsum_1(A,C)),k12_rvsum_1(k4_rvsum_1(B,D))) ) ) ) ) ) )).
fof(t12_topreal8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m2_finseq_1(D,A) ) => ( ( k7_partfun1(A,C,k3_finseq_1(C)) = k7_partfun1(A,D,1) & r1_goboard1(A,C,B) & r1_goboard1(A,D,B) ) => r1_goboard1(A,k4_graph_2(A,C,D),B) ) ) ) ) ) )).
fof(t12_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( r2_tarski(C,k3_topreal9(A,k4_struct_0(k15_euclid(A)),B)) => k12_euclid(C) = B ) ) ) ) )).
fof(t12_topreala,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_tsep_1(C,B) & m1_pre_topc(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( ( D = E & v1_t_0topsp(E,A,C) ) => v1_t_0topsp(D,A,B) ) ) ) ) ) ) )).
fof(t12_toprealb,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ( m1_subset_1(B,u1_struct_0(k8_toprealb(A))) => k12_euclid(B) = 1 ) ) ) )).
fof(t12_toprealc,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xcmplx_0(C) => k39_valued_1(k1_funct_7(k5_euclid(B),A,C)) = k1_funct_7(k5_euclid(B),A,k1_square_1(C)) ) ) )).
fof(t12_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k2_toprns_1(B,A,k1_toprns_1(A,C,D)) = k1_toprns_1(A,k2_toprns_1(B,A,C),k2_toprns_1(B,A,D)) ) ) ) ) )).
fof(t12_tops_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r2_tarski(C,D) & r1_xboole_0(B,D) ) ) ) ) ) ) )).
fof(t12_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( r1_tarski(B,C) & v2_tops_2(C,A) ) => v2_tops_2(B,A) ) ) ) ) )).
fof(t12_tops_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tops_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(k3_subset_1(u1_struct_0(A),B),C) & v4_pre_topc(C,A) ) => C = u1_struct_0(A) ) ) ) ) ) )).
fof(t12_tops_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) ) => ( v1_t_0topsp(A,k3_topmetr,k3_topmetr) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k3_topmetr)) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ? [D] : ( v1_xreal_0(D) & v2_xxreal_0(D) & r1_tarski(k2_rcomp_1(k6_xcmplx_0(k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),A,B),D),k2_xcmplx_0(k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),A,B),D)),k7_relset_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),A,k2_rcomp_1(k6_xcmplx_0(B,C),k2_xcmplx_0(B,C)))) ) ) ) ) ) )).
fof(t12_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( r1_relat_2(B,k2_zfmisc_1(A,A)) => r1_transgeo(A,k6_partfun1(A),B) ) ) ) )).
fof(t12_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( v1_translac(A) & v11_aff_2(A) & v7_transgeo(B,A) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( v7_transgeo(C,A) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_transgeo(u1_struct_0(A),C,C),B) ) ) ) ) ) )).
fof(t12_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(k5_numbers,1))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_topmetr(k5_numbers,1))) => v5_pre_topc(k4_treal_1(A,B,C,D),k4_topmetr(A,B),k4_topmetr(k5_numbers,1)) ) ) ) ) ) )).
fof(t12_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_tarski(A,k1_trees_1(B)) <=> r2_xboole_0(A,B) ) ) ) )).
fof(t12_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k7_finseq_1(B,k9_finseq_1(C)),k1_trees_2(A,B)) <=> r2_tarski(k7_finseq_1(B,k9_finseq_1(C)),A) ) ) ) ) )).
fof(t12_trees_3,axiom,( ! [A] : ( v1_trees_3(k1_tarski(A)) <=> ( ~ v1_xboole_0(A) & v1_trees_1(A) ) ) )).
fof(t12_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_trees_2(D) ) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(D)) => ( D = k1_funct_1(B,k1_nat_1(C,1)) => ( r1_xxreal_0(k3_finseq_1(B),C) | k1_funct_1(k4_trees_4(A,B),k8_finseq_1(k4_ordinal1,k14_trees_3(C),E)) = k1_funct_1(D,E) ) ) ) ) ) ) )).
fof(t12_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( ( v1_finset_1(A) & k3_trees_9(A) = k3_trees_9(B) ) => A = B ) ) ) )).
fof(t12_trees_a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( m4_trees_1(C,k9_xtuple_0(A)) => ( C != k1_xboole_0 => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(D,k9_xtuple_0(k3_trees_a(A,C,B))) & r2_tarski(D,a_2_2_trees_a(A,C)) ) => k1_funct_1(k3_trees_a(A,C,B),D) = k1_funct_1(A,D) ) ) ) ) ) ) )).
fof(t12_tsep_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_borsuk_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( v4_pre_topc(D,B) <=> v4_pre_topc(C,A) ) ) ) ) ) ) )).
fof(t12_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_2(A,B,C) => ( v4_pre_topc(B,A) <=> v3_pre_topc(C,A) ) ) ) ) ) )).
fof(t12_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_tsp_1(k6_domain_1(u1_struct_0(A),B),A) ) ) )).
fof(t12_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_tsp_2(B,A) & ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) ) => ~ ( v2_tsp_2(C,A) & B = u1_struct_0(C) ) ) ) ) ) )).
fof(t12_turing_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( l1_turing_1(C) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C)))) => ( ( r1_xxreal_0(A,B) & k1_mcart_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C)),k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),A)) = u5_turing_1(C) ) => k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),B) = k8_nat_1(k3_zfmisc_1(u2_turing_1(C),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(C))),k9_turing_1(C,D),A) ) ) ) ) ) )).
fof(t12_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ( k1_funct_1(k10_twoscomp,k11_finseq_1(A,B,C)) = k9_margrel1(k9_margrel1(A,B),C) & k1_funct_1(k11_twoscomp,k11_finseq_1(A,B,C)) = k9_margrel1(k9_margrel1(k8_margrel1(A),B),C) & k1_funct_1(k12_twoscomp,k11_finseq_1(A,B,C)) = k9_margrel1(k9_margrel1(k8_margrel1(A),k8_margrel1(B)),C) & k1_funct_1(k18_twoscomp,k11_finseq_1(A,B,C)) = k9_margrel1(k9_margrel1(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C)) ) ) ) ) )).
fof(t12_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_unialg_1(B) & m1_unialg_2(B,A) ) => ! [C] : ( ( v1_unialg_1(C) & m1_unialg_2(C,A) ) => ( u1_struct_0(B) = u1_struct_0(C) => B = C ) ) ) ) )).
fof(t12_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_unialg_3(A))) ) => ( ~ v1_xboole_0(k6_setfam_1(u1_struct_0(A),k7_relset_1(k1_unialg_3(A),k9_setfam_1(u1_struct_0(A)),k3_unialg_3(A),B))) & m1_subset_1(k6_setfam_1(u1_struct_0(A),k7_relset_1(k1_unialg_3(A),k9_setfam_1(u1_struct_0(A)),k3_unialg_3(A),B)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t12_uniform1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(A,k1_rcomp_1(C,D)) & r2_hidden(B,k1_rcomp_1(C,D)) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,B)),k6_xcmplx_0(D,C)) ) ) ) ) ) )).
fof(t12_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_binop_1(k4_group_1(A),B,k3_xcmplx_0(C,D)) = k1_binop_1(k4_group_1(A),k1_binop_1(k4_group_1(A),B,C),D) ) ) ) ) )).
fof(t12_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ( k2_uproots(A,B) = k5_numbers => r6_pboole(A,B,k16_pre_poly(A)) ) ) )).
fof(t12_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(A)) => ~ r1_xxreal_0(k7_xcmplx_0(k1_nat_1(k5_urysohn1(A,B),1),k1_newton(2,A)),k7_xcmplx_0(k6_xcmplx_0(k5_urysohn1(A,B),1),k1_newton(2,A))) ) ) )).
fof(t12_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( v4_measure5(A) => ( r1_xxreal_0(k5_numbers,B) | v3_measure5(k1_integra2(A,B)) ) ) ) ) )).
fof(t12_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r2_hidden(E,k3_urysohn1) & r2_hidden(F,k3_urysohn1) ) => ( r1_xxreal_0(F,E) | ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ( G = k1_funct_1(k2_urysohn3(A,B,C,D),E) => r1_tarski(k2_pre_topc(A,G),k1_funct_1(k2_urysohn3(A,B,C,D),F)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_valuat_1(F,A,B) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,F,k7_cqc_lang(A,D,E)),C) = k9_margrel1(k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,F,D),C),k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,F,E),C)) ) ) ) ) ) ) )).
fof(t12_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_valued_0(A) <=> ! [B] : v7_ordinal1(k1_funct_1(A,B)) ) ) )).
fof(t12_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k9_xtuple_0(k45_valued_1(A,B)) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) ) ) )).
fof(t12_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k7_valued_1(k7_valued_1(C,A),B) = k7_valued_1(C,k2_xcmplx_0(A,B)) ) ) ) )).
fof(t12_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_vectsp_4(F,A,E) => ! [G] : ( m1_vectsp_4(G,A,E) => ( ( F = C & G = D ) => k1_vectsp_5(A,E,F,G) = k1_vectsp_5(A,B,C,D) ) ) ) ) ) ) ) ) )).
fof(t12_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp11(C,A,B,k3_struct_0(B)) => C = k1_group_1(A) ) ) ) )).
fof(t12_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k8_group_1(A,B,C) = k4_struct_0(A) <=> ( B = k4_struct_0(A) | C = k4_struct_0(A) ) ) ) ) ) )).
fof(t12_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k6_algstr_0(A,B,C) = k4_struct_0(A) & B != k4_struct_0(A) & C != k4_struct_0(A) ) ) ) ) )).
fof(t12_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => k4_struct_0(C) = k4_struct_0(D) ) ) ) ) )).
fof(t12_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k1_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)) = B ) ) )).
fof(t12_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k3_vectsp_6(A,B,k3_finseq_4(u1_struct_0(B),C,D,E),F) = k3_finseq_4(u1_struct_0(B),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,C),C),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,E),E)) ) ) ) ) ) ) )).
fof(t12_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( C = u1_struct_0(B) => k1_vectsp_7(A,B,C) = B ) ) ) ) )).
fof(t12_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( v1_vectsp_7(D,A,B) & r1_tarski(D,u1_struct_0(C)) ) => ( v1_vectsp_7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) ) ) ) ) ) )).
fof(t12_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,k3_vfunct_1(A,B,E,C),k3_vfunct_1(A,B,E,D)),k3_vfunct_1(A,B,E,k2_vfunct_1(A,B,C,D))) ) ) ) ) ) )).
fof(t12_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,k1_vfunct_2(A,B,E,C),k1_vfunct_2(A,B,E,D)),k1_vfunct_2(A,B,E,k2_vfunct_1(A,B,C,D))) ) ) ) ) ) )).
fof(t12_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k8_vsdiff_1(A,B,C,G,D,E),1),F) = k5_algstr_0(D,k10_funct_2(u1_struct_0(C),u1_struct_0(D),k4_vsdiff_1(A,B,C,D,E,G),F),k10_funct_2(u1_struct_0(C),u1_struct_0(D),E,F)) ) ) ) ) ) ) ) )).
fof(t12_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_waybel10(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_waybel10(A))) => ( ( D = B & E = C ) => ( r3_orders_2(k2_waybel10(A),D,E) <=> r1_yellow_2(u1_struct_0(A),A,B,C) ) ) ) ) ) ) ) )).
fof(t12_waybel11,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_pre_topc(k3_subset_1(u1_struct_0(A),k5_waybel_0(A,B)),A) ) ) )).
fof(t12_waybel12,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_yellow_4(A,B,k6_domain_1(u1_struct_0(A),k4_yellow_0(A))),k6_domain_1(u1_struct_0(A),k4_yellow_0(A))) ) ) )).
fof(t12_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) => ( v1_waybel_3(B,k1_yellow_1(k7_waybel_0(A))) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B = k5_waybel_0(A,C) ) ) ) ) )).
fof(t12_waybel14,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_tarski(k2_yellow_4(A,k2_waybel_3(A,B),k2_waybel_3(A,C)),k6_waybel_0(A,k13_lattice3(A,B,C))) ) ) ) )).
fof(t12_waybel15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_yellow_2(A,B,C)))) => k7_relset_1(u1_struct_0(k1_yellow_2(A,B,C)),u1_struct_0(B),k3_waybel_1(A,B,C),D) = D ) ) ) ) )).
fof(t12_waybel16,axiom,( ! [A] : ( ~ v1_xboole_0(k1_tarski(A)) & v2_waybel_0(k1_tarski(A),k2_yellow_1(A)) & v13_waybel_0(k1_tarski(A),k2_yellow_1(A)) & m1_subset_1(k1_tarski(A),k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) )).
fof(t12_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_0_waybel17(A,B,C,D)) ) ) ) ) ) )).
fof(t12_waybel18,axiom,( ! [A] : ( ( v4_waybel11(A) & m1_yellow_9(A,k2_yellow_1(k1_tarski(k5_numbers))) ) => u1_pre_topc(A) = u1_pre_topc(k9_waybel18) ) )).
fof(t12_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v5_pre_topc(C,A,B) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => r3_waybel_0(A,B,C,D) ) ) => v17_waybel_0(C,A,B) ) ) ) ) )).
fof(t12_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v3_orders_2(D) & v5_orders_2(D) & l1_orders_2(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( ( v22_waybel_0(E,A,C) & v22_waybel_0(F,B,D) ) => v22_waybel_0(k1_waybel20(A,B,C,D,E,F),k3_yellow_3(A,B),k3_yellow_3(C,D)) ) ) ) ) ) ) ) )).
fof(t12_waybel21,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( l1_orders_2(C) => ! [D] : ( m1_yellow_0(D,A) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = g1_orders_2(u1_struct_0(C),u1_orders_2(C)) ) => ( m1_yellow_0(C,B) & ( v4_yellow_0(D,A) => ( v4_yellow_0(C,B) & m1_yellow_0(C,B) ) ) ) ) ) ) ) ) )).
fof(t12_waybel22,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => v5_orders_3(k2_waybel22(A,B,C),k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),B) ) ) )).
fof(t12_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_yellow_0(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => r1_tarski(k4_waybel_0(B,D),k4_waybel_0(A,C)) ) ) ) ) ) )).
fof(t12_waybel24,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( v5_orders_3(k1_waybel24(A,B,C,D,E),B,C) & v5_orders_3(k2_waybel24(A,B,C,D,F),A,C) ) ) ) => v5_orders_3(D,k3_yellow_3(A,B),C) ) ) ) ) ) )).
fof(t12_waybel25,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => v2_waybel18(B) ) ) )).
fof(t12_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_waybel26(A,B)))) => k2_waybel26(A,C,E,k7_relset_1(u1_struct_0(k1_waybel26(A,B)),u1_struct_0(k1_waybel26(A,C)),k3_waybel26(A,B,C,D),F)) = k7_relset_1(u1_struct_0(B),u1_struct_0(C),D,k2_waybel26(A,B,E,F)) ) ) ) ) ) ) )).
fof(t12_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ( ( v4_yellow_0(B,C) & m1_yellow_0(B,C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( ( v5_orders_3(E,A,C) & r1_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E) ) => v5_orders_3(D,A,B) ) ) ) ) ) ) ) )).
fof(t12_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_waybel28(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => m2_yellow_6(k1_waybel28(A,B,C),A,B) ) ) ) )).
fof(t12_waybel29,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_yellow16(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v24_waybel_0(k2_yellow16(A,B,C)) & v1_yellow_0(k2_yellow16(A,B,C)) ) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_yellow_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_yellow_1(A,B))) => ( r1_waybel_3(k4_yellow_1(A,B),C,D) <=> ( ! [E] : ( m1_subset_1(E,A) => r1_waybel_3(k3_waybel_3(A,B,E),k4_waybel_3(A,B,C,E),k4_waybel_3(A,B,D,E)) ) & ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(A)) & ! [F] : ( m1_subset_1(F,A) => ( ~ r2_tarski(F,E) => k4_waybel_3(A,B,C,F) = k3_yellow_0(k2_yellow16(A,B,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(t12_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k2_waybel19(A)) <=> v3_pre_topc(B,A) ) ) ) )).
fof(t12_waybel31,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => v3_waybel_8(A) ) )).
fof(t12_waybel32,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v24_waybel_0(A) & v25_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => k5_waybel11(A) = u1_pre_topc(B) ) ) )).
fof(t12_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow19(A,k2_struct_0(A),B))) => ( k2_xfamily(D) = C => k2_yellow_0(A,C) = k1_waybel_9(A,k5_waybel_9(A,k3_yellow19(A,k2_struct_0(A),B),D)) ) ) ) ) ) ) )).
fof(t12_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ! [C] : ! [D] : ~ ( r2_hidden(D,k1_binop_1(u1_altcat_1(A),B,C)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( E = B & F = C & r2_hidden(D,k1_altcat_1(A,E,F)) & m1_subset_1(D,k1_altcat_1(A,E,F)) ) ) ) ) ) )).
fof(t12_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_waybel35(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( v2_waybel35(C,A,B) & r4_waybel_1(A,D,C) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,k4_yellow_0(A)),B) ) => ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k4_yellow_0(A),k4_yellow_0(A)),B) & D = k4_yellow_0(A) ) ) ) ) ) ) )).
fof(t12_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ( v11_waybel_0(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,D,E) => r1_orders_2(A,k2_waybel_0(A,B,E),k2_waybel_0(A,B,C)) ) ) ) ) ) ) ) )).
fof(t12_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v4_waybel_1(C,A,B) => v17_waybel_0(C,A,B) ) ) ) ) )).
fof(t12_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,k3_yellow_3(A,A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) ) => k1_yellow_0(k3_yellow_3(A,A),B) = k7_yellow_3(A,A,k1_yellow_0(A,k4_yellow_3(A,A,B)),k1_yellow_0(A,k5_yellow_3(A,A,B))) ) ) )).
fof(t12_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => ( r1_tarski(k1_waybel_3(A,B),k1_waybel_3(A,C)) & r1_tarski(k2_waybel_3(A,C),k2_waybel_3(A,B)) ) ) ) ) ) )).
fof(t12_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => r1_tarski(k5_waybel_4(A,B,C),k5_waybel_0(A,B)) ) ) ) )).
fof(t12_waybel_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => ( ( k9_xtuple_0(B) = k9_xtuple_0(C) & ! [D] : ( r2_hidden(D,k9_xtuple_0(B)) => k5_yellow_2(A,k1_funct_1(B,D)) = k5_yellow_2(A,k1_funct_1(C,D)) ) ) => r1_funct_2(k9_xtuple_0(B),u1_struct_0(A),k9_xtuple_0(C),u1_struct_0(A),k5_waybel_5(A,B),k5_waybel_5(A,C)) ) ) ) ) )).
fof(t12_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ~ v1_xboole_0(k7_subset_1(u1_struct_0(A),k6_waybel_0(A,B),k6_domain_1(u1_struct_0(A),B))) & v2_waybel_0(k7_subset_1(u1_struct_0(A),k6_waybel_0(A,B),k6_domain_1(u1_struct_0(A),B)),A) & v13_waybel_0(k7_subset_1(u1_struct_0(A),k6_waybel_0(A,B),k6_domain_1(u1_struct_0(A),B)),A) & m1_subset_1(k7_subset_1(u1_struct_0(A),k6_waybel_0(A,B),k6_domain_1(u1_struct_0(A),B)),k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel_6(B,A) ) ) ) )).
fof(t12_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_waybel_7(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(k2_yellow_0(A,C),B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r2_tarski(D,B) ) ) ) ) ) ) ) )).
fof(t12_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v3_orders_2(A) ) => v3_orders_2(B) ) ) ) )).
fof(t12_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => u1_struct_0(k4_waybel_9(A,B,C)) = a_3_0_waybel_9(A,B,C) ) ) ) )).
fof(t12_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_card_1(a_2_2_weddwitt(A,B)) = k4_card_1(k7_group_3(A,B)) ) ) )).
fof(t12_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( v2_compts_1(A,k3_topmetr) => v2_rcomp_1(k1_weierstr(A)) ) ) )).
fof(t12_wellfnd1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_zfmisc_1(B) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) ) => ( ( r1_wellfnd1(A,B,C,D) & r1_wellfnd1(A,B,C,E) ) => r2_funct_2(u1_struct_0(A),B,D,E) ) ) ) ) => v1_wellfnd1(A) ) ) ) )).
fof(t12_wellord1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_hidden(A,k1_relat_1(k2_wellord1(C,B))) => ( r2_hidden(A,k1_relat_1(C)) & r2_hidden(A,B) ) ) ) )).
fof(t12_wellord2,axiom,( ! [A] : ( v1_relat_1(A) => ~ ( v2_wellord1(A) & ! [B] : ~ ( r2_hidden(B,k1_relat_1(A)) & ! [C] : ( v3_ordinal1(C) => ~ r4_wellord1(k2_wellord1(A,k1_wellord1(A,B)),k1_wellord2(C)) ) ) & ! [B] : ( v3_ordinal1(B) => ~ r4_wellord1(A,k1_wellord2(B)) ) ) ) )).
fof(t12_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( k3_int_2(C,D) = 1 => ( k3_int_2(C,k1_newton(D,B)) = 1 & k3_int_2(k1_newton(C,A),k1_newton(D,B)) = 1 ) ) ) ) ) ) )).
fof(t12_xboole_1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => k2_xboole_0(A,B) = B ) )).
fof(t12_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k5_xboolean(A,k4_xboolean(k3_xboolean(A),B)) = k5_xboolean(A,B) ) ) )).
fof(t12_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(3,A) = k2_xcmplx_0(k2_xcmplx_0(A,A),A) ) )).
fof(t12_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k6_xcmplx_0(A,B),C) => r1_xxreal_0(k6_xcmplx_0(A,C),B) ) ) ) ) )).
fof(t12_xtuple_0,axiom,( ! [A] : ! [B] : ~ ( r2_hidden(A,k11_xtuple_0(B)) & ! [C] : ! [D] : ~ r2_hidden(k3_xtuple_0(A,C,D),B) ) )).
fof(t12_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ~ ( r2_hidden(A,k1_numbers) & r1_xxreal_0(A,k2_xxreal_0) ) ) )).
fof(t12_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_tarski(A,k3_xxreal_1(B,C)) => ( r2_tarski(A,k1_xxreal_1(B,C)) & A != B ) ) ) ) )).
fof(t12_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k4_xxreal_0(A,B) = k1_xxreal_2(k2_tarski(A,B)) ) ) )).
fof(t12_xxreal_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( k3_xxreal_3(A,B) = k3_xxreal_3(A,C) => B = C ) ) ) ) )).
fof(t12_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( r1_yellow_0(k3_yellow_3(A,B),k7_domain_1(u1_struct_0(k3_yellow_3(A,B)),C,D)) <=> ( r1_yellow_0(A,k7_domain_1(u1_struct_0(A),k8_yellow_3(A,B,C),k8_yellow_3(A,B,D))) & r1_yellow_0(B,k7_domain_1(u1_struct_0(B),k9_yellow_3(A,B,C),k9_yellow_3(A,B,D))) ) ) ) ) ) ) )).
fof(t12_yellow11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v1_yellow11(A) => ( v2_waybel_1(A) <=> ! [B] : ( ( v4_yellow_0(B,A) & v5_yellow_0(B,A) & v6_yellow_0(B,A) & m1_yellow_0(B,A) ) => ~ r5_waybel_1(k2_yellow11,B) ) ) ) ) )).
fof(t12_yellow12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & C = E & D = F ) => k2_yellow_4(A,C,D) = k1_yellow_4(B,E,F) ) ) ) ) ) ) ) )).
fof(t12_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v19_waybel_0(k4_waybel_1(A,B),A,A) ) ) )).
fof(t12_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ( r5_waybel_1(A,B) & v1_lattice3(A) ) => v1_lattice3(B) ) ) ) )).
fof(t12_yellow15,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m2_finseq_1(D,k5_margrel1) => ( ( k1_funct_1(D,1) = k7_margrel1 => k1_funct_1(k1_yellow15(A,k2_finseq_4(k1_zfmisc_1(A),B,C),D),1) = B ) & ( k1_funct_1(D,1) = k6_margrel1 => k1_funct_1(k1_yellow15(A,k2_finseq_4(k1_zfmisc_1(A),B,C),D),1) = k6_subset_1(A,B) ) & ( k1_funct_1(D,2) = k7_margrel1 => k1_funct_1(k1_yellow15(A,k2_finseq_4(k1_zfmisc_1(A),B,C),D),2) = C ) & ( k1_funct_1(D,2) = k6_margrel1 => k1_funct_1(k1_yellow15(A,k2_finseq_4(k1_zfmisc_1(A),B,C),D),2) = k6_subset_1(A,C) ) ) ) ) ) )).
fof(t12_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_yellow16(A,B,C) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v11_quantal1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) ) ) ) ) )).
fof(t12_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,D)))) => ( F != k2_struct_0(k4_waybel18(A,B,D)) => ( r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(E)),k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,D)),k6_waybel18(A,B,D),F)) <=> ( C = D & r2_tarski(E,F) ) ) ) ) ) ) ) ) ) )).
fof(t12_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & l2_altcat_1(B) ) => ( ( r2_yellow18(A,B) & v12_altcat_1(A) ) => v12_altcat_1(B) ) ) ) )).
fof(t12_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k9_yellow_6(A,B)) <=> r2_waybel_7(A,k2_yellow19(A,B),C) ) ) ) ) )).
fof(t12_yellow20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v9_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v2_yellow18(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v9_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & v2_yellow18(B) & l2_altcat_1(B) ) => r1_yellow20(A,B) ) ) )).
fof(t12_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => r1_tarski(u1_struct_0(k6_yellow21(A)),k2_yellow21(A)) ) )).
fof(t12_yellow_0,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_lattice3(A,B,C) & r1_orders_2(A,D,C) ) => r1_lattice3(A,B,D) ) ) ) ) )).
fof(t12_yellow_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r2_tarski(k3_xboole_0(B,C),A) ) => v2_lattice3(k1_yellow_1(A)) ) ) )).
fof(t12_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v5_orders_3(D,A,B) & v5_orders_3(E,B,C) ) => v5_orders_3(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t12_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( r1_orders_2(k3_yellow_3(A,B),C,D) <=> ( r1_orders_2(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D)) & r1_orders_2(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) ) )).
fof(t12_yellow_4,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r2_yellow_4(A,B,k2_yellow_4(A,B,C)) ) ) ) )).
fof(t12_yellow_5,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_orders_2(A,B,D) => r1_orders_2(A,k1_yellow_5(A,B,C),D) ) ) ) ) ) )).
fof(t12_yellow_6,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_yellow_6(C,A,B) & m1_yellow_6(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( ( D = F & E = G & r1_orders_2(B,D,E) ) => r1_orders_2(C,F,G) ) ) ) ) ) ) ) ) )).
fof(t12_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( r1_yellow_0(A,B) | r2_yellow_0(k7_lattice3(A),B) ) => k1_yellow_0(A,B) = k2_yellow_0(k7_lattice3(A),B) ) ) )).
fof(t12_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_tops_2(C,A) & v1_yellow_8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) => ( v3_pre_topc(D,A) & r2_tarski(B,D) ) ) ) ) ) ) )).
fof(t12_yellow_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( B = k2_xboole_0(C,k1_tarski(A)) | C = k7_subset_1(k1_zfmisc_1(A),B,k1_tarski(A)) ) => k8_setfam_1(A,B) = k8_setfam_1(A,C) ) ) ) )).
fof(t12_zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ ( r2_zf_model(A,k6_zf_model) & ! [B] : ~ ( v1_ordinal1(B) & r2_zf_colla(A,B) ) ) ) )).
fof(t12_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( v8_zf_fund1(D,A) & r2_tarski(B,D) & r2_tarski(C,D) ) => r2_tarski(a_4_0_zf_fund1(A,B,C,E),D) ) ) ) ) ) ) )).
fof(t12_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ~ ( ~ v7_zf_lang(A) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ~ r1_xxreal_0(k1_nat_1(k3_finseq_1(B),1),k3_finseq_1(A)) ) ) ) )).
fof(t12_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v11_zf_lang(k14_zf_lang(B,C,A)) & k22_zf_lang(k14_zf_lang(B,C,A)) = B & k23_zf_lang(k14_zf_lang(B,C,A)) = k12_zf_lang(C,A) ) ) ) ) )).
fof(t12_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r1_zf_model(A,B,k3_zf_lang(C,D)) <=> k3_funct_2(k1_zf_lang,A,B,C) = k3_funct_2(k1_zf_lang,A,B,D) ) ) ) ) ) )).
fof(t12_zf_refle,axiom,( ! [A] : ( v3_ordinal1(A) => k2_ordinal1(k4_classes1(A)) = A ) )).
fof(t12_zfmisc_1,axiom,( ! [A] : ! [B] : ( k3_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A) => A = B ) )).
fof(t12_zfmodel1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,E))) ) => ( ( r1_xboole_0(k1_enumset1(A,B,C),k2_zf_model(D)) & r1_zf_model(E,F,D) ) => r1_zf_model(E,F,k15_zf_lang(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(t12_zfmodel2,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( ~ r2_tarski(A,k4_zf_lang1(D)) => ( r1_zf_model(C,E,k6_zf_lang1(D,B,A)) <=> r1_zf_model(C,k2_zf_lang1(C,E,B,k3_funct_2(k1_zf_lang,C,E,A)),D) ) ) ) ) ) ) ) )).
fof(t12_zfrefle1,axiom,( ! [A] : ! [B] : ( ( r3_tarski(A,B) | k1_card_1(A) = k1_card_1(B) ) => ( r3_tarski(k1_zfmisc_1(A),k1_zfmisc_1(B)) & k1_card_1(k1_zfmisc_1(A)) = k1_card_1(k1_zfmisc_1(B)) ) ) )).
fof(t12_zmodul01,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r2_tarski(E,k4_finseq_1(C)) & F = k1_funct_1(D,E) ) => k1_funct_1(C,E) = k1_zmodul01(B,F,A) ) ) ) ) => k4_rlvect_1(B,C) = k1_zmodul01(B,k4_rlvect_1(B,D),A) ) ) ) ) ) )).
fof(t12_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m2_zmodul02(B,A,k1_subset_1(u1_struct_0(A))) => r2_funct_2(u1_struct_0(A),k4_numbers,B,k19_zmodul02(A)) ) ) )).
fof(t12_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul02(C,B) => ? [D] : ( m1_zmodul02(D,A) & k18_zmodul02(B,C) = k18_zmodul02(A,D) & k21_zmodul02(B,C) = k21_zmodul02(A,D) ) ) ) ) )).
fof(t12_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m2_zmodul02(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) => ~ ( v6_zmodul01(A) & D = k7_relset_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),B) & ! [E] : ( m2_vectsp_6(E,k11_gaussint,k5_zmodul04(A),D) => ~ ( r1_funct_2(u1_struct_0(A),k4_numbers,u1_struct_0(A),u1_struct_0(k11_gaussint),C,k1_partfun1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),u1_struct_0(k5_zmodul04(A)),u1_struct_0(k11_gaussint),k6_zmodul04(A),E)) & k1_vectsp_6(k11_gaussint,k5_zmodul04(A),E) = k7_relset_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),k18_zmodul02(A,C)) ) ) ) ) ) ) ) )).
fof(t12_zmodul05,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ( ( k1_rvsum_1(A) = k1_rvsum_1(B) & v2_funct_1(A) & v2_funct_1(B) ) => k1_gr_cy_1(A) = k1_gr_cy_1(B) ) ) ) )).
fof(t12_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_zmodul06(B,A) <=> v1_zmodul02(k6_domain_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t130_abcmiz_1,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m4_abcmiz_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D)) => ( m2_finseq_1(k1_partfun1(k4_ordinal1,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),E,C),k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D)) & k4_card_1(k1_partfun1(k4_ordinal1,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,B))),E,C)) = k3_finseq_1(E) ) ) ) ) ) ) )).
fof(t130_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_absred_0(A,B,C) => r12_absred_0(A,B,C) ) ) ) ) )).
fof(t130_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(k15_aofa_l00(A,E,F,H,I),G) ) => r2_tarski(k15_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t130_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),C) ) ) ) ) ) )).
fof(t130_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ~ ( B != k1_xboole_0 & ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,A) => B != k8_finseq_1(A,k12_finseq_1(A,D),C) ) ) ) ) ) )).
fof(t130_finseq_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_card_3(k11_finseq_1(A,A,A)) = k4_finseq_2(3,A) ) )).
fof(t130_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k9_funct_4(A,A,A,B,C,D) = k17_funcop_1(A,D) )).
fof(t130_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) ) => r1_funct_7(B,k1_funct_4(B,C),A) ) ) )).
fof(t130_gfacirc1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => k2_msafree2(k49_gfacirc1(A,B,C)) = k1_enumset1(A,B,C) ) ) ) )).
fof(t130_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( v3_glib_001(C,A) => r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k7_glib_001(A,B,C),B) ) ) ) ) )).
fof(t130_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_group_2(D,A) => r2_wellord2(k14_group_2(A,D,B),k14_group_2(A,D,C)) ) ) ) ) )).
fof(t130_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_card_1(k8_group_3(A,B)) = k17_group_2(A,k10_group_3(A,B)) ) ) )).
fof(t130_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( ( r2_tarski(B,C) & C = a_0_2_jgraph_4 ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | r2_tarski(k1_funct_1(k9_jgraph_4(A),B),C) ) ) ) )).
fof(t130_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k17_euclid(B) = F & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k18_euclid(A),k18_euclid(B)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(G,k18_euclid(C)) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t130_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) => ( C = k5_euclid(A) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( ( F = D & k1_rlvect_1(k15_euclid(A),F,B) = E ) => k3_xcmplx_0(B,k3_metric_1(k14_euclid(A),C,D)) = k3_metric_1(k14_euclid(A),C,E) ) ) ) ) ) ) ) ) ) )).
fof(t130_member_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k15_member_1(k2_tarski(A,B),k1_tarski(C)) = k2_tarski(k7_xcmplx_0(A,C),k7_xcmplx_0(B,C)) ) ) ) )).
fof(t130_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( m2_msafree5(D,A,B,C) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( E = k12_mcart_1(D) => ( v17_msafree5(k11_mcart_1(D),A,B,E) & m2_finseq_1(k11_mcart_1(D),k3_card_3(B)) ) ) ) ) ) ) ) )).
fof(t130_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(C,k1_relset_1(u1_struct_0(A),B)) & r2_relset_1(u1_struct_0(A),u1_struct_0(A),k2_partfun1(u1_struct_0(A),u1_struct_0(A),B,C),k1_partfun2(u1_struct_0(A),C)) ) => r7_ncfcont1(A,A,B,C) ) ) ) ) )).
fof(t130_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( v3_relat_1(C) & r2_pboole(A,B,C) ) => v3_relat_1(B) ) ) ) )).
fof(t130_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k3_xboole_0(k9_xtuple_0(B),A),k7_relat_1(k2_relat_1(B),k7_relat_1(B,A))) ) )).
fof(t130_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k5_rvsum_1(A,B,C),D) = k2_xcmplx_0(k22_rvsum_1(B,D),k22_rvsum_1(C,D)) ) ) ) ) )).
fof(t130_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k12_seq_4(A))) => ( ~ r1_xboole_0(B,C) => k24_seq_4(A,B,C) = k5_numbers ) ) ) ) )).
fof(t130_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C))) = k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,B,B))) ) ) ) ) )).
fof(t130_sin_cos9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k2_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_tarski(k5_numbers,A) | ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k2_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k2_sin_cos9),A),B) = k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k2_sin_cos9,B),k1_square_1(B))),k7_xcmplx_0(1,k3_xcmplx_0(B,k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) ) )).
fof(t130_sincos10,axiom,( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_sincos10,k7_relset_1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos)))) )).
fof(t130_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r1_tsep_1(C,D) | r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) ) => r1_funct_2(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),u1_struct_0(k1_tsep_1(A,D,C)),u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F),k10_tmap_1(A,B,D,C,F,E)) ) ) ) ) ) ) ) )).
fof(t130_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ! [D] : ( v1_xboolean(D) => ( ( k7_xboolean(A,B) = k2_xboolean & k7_xboolean(C,D) = k2_xboolean ) => k7_xboolean(k4_xboolean(A,C),k4_xboolean(B,D)) = k2_xboolean ) ) ) ) ) )).
fof(t130_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ~ ( B != k5_numbers & D != k5_numbers & k6_xcmplx_0(k7_xcmplx_0(A,B),k7_xcmplx_0(C,D)) != k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,D),k3_xcmplx_0(C,B)),k3_xcmplx_0(B,D)) ) ) ) ) ) )).
fof(t130_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k3_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(t130_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k1_xxreal_1(A,B) = k2_xboole_0(k1_tarski(A),k3_xxreal_1(A,B)) ) ) ) )).
fof(t130_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ( ~ r2_tarski(C,k2_zf_model(B)) => r2_zf_model(D,k10_zf_lang(k7_zf_lang(C,k10_zf_lang(A,B)),k10_zf_lang(k12_zf_lang(C,A),B))) ) ) ) ) ) )).
fof(t130_zfmisc_1,axiom,( ! [A] : ! [B] : ( ( r1_tarski(B,A) & v1_zfmisc_1(A) ) => v1_zfmisc_1(B) ) )).
fof(t130_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( m3_zmodul01(k3_zmodul01(A),A,k4_zmodul01(A)) & m3_zmodul01(k4_zmodul01(A),A,k3_zmodul01(A)) ) ) )).
fof(t131_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) => ( k1_relset_1(k2_abcmiz_1,k54_abcmiz_1(A,B)) = B & ! [C] : ( m1_subset_1(C,k2_abcmiz_1) => ( r2_tarski(C,B) => k1_funct_1(k54_abcmiz_1(A,B),C) = k35_abcmiz_1(C,A) ) ) ) ) ) )).
fof(t131_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_absred_0(A,B,C) => r13_absred_0(A,B,C) ) ) ) ) )).
fof(t131_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(k16_aofa_l00(A,E,F,H,I),G) ) => r2_tarski(k16_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t131_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),C) ) ) ) ) ) ) )).
fof(t131_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,B) ) <=> r2_tarski(C,k4_finseq_2(A,B)) ) ) ) )).
fof(t131_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : k4_card_3(k2_finseq_2(A,B)) = k4_finseq_2(A,B) ) )).
fof(t131_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k9_funct_4(A,A,B,C,D,E) = k4_funct_4(A,B,D,E) )).
fof(t131_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) ) => r1_funct_7(B,C,A) ) ) )).
fof(t131_gfacirc1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ~ v1_facirc_1(k2_msafree2(k49_gfacirc1(A,B,C))) ) ) ) )).
fof(t131_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( v3_glib_001(k8_glib_001(A,B,C,D),A) <=> C = D ) ) ) ) ) ) )).
fof(t131_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( r2_wellord2(k8_group_2(A,C),k13_group_2(A,C,B)) & r2_wellord2(k8_group_2(A,C),k14_group_2(A,C,B)) ) ) ) ) )).
fof(t131_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ( v1_finset_1(k8_group_3(A,B)) | v1_finset_1(k15_group_2(A,k10_group_3(A,B))) ) & ! [C] : ( v1_finset_1(C) => ~ ( C = k8_group_3(A,B) & k4_card_1(C) = k18_group_2(A,k10_group_3(A,B)) ) ) ) ) ) )).
fof(t131_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & k3_subset_1(u1_struct_0(k15_euclid(2)),B) = k6_domain_1(u1_struct_0(k15_euclid(2)),k4_struct_0(k15_euclid(2))) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ~ ( C = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),B)) ) ) ) ) ) )).
fof(t131_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k17_euclid(B) = F & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k18_euclid(A),k18_euclid(B)) & ~ r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & r1_xxreal_0(G,k18_euclid(C)) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_xxreal_0(k17_euclid(D),F) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t131_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( D = k5_euclid(A) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( E = k8_metric_1(k14_euclid(A),D,C) => k1_convex1(k15_euclid(A),E,B) = k8_metric_1(k14_euclid(A),D,k3_xcmplx_0(B,C)) ) ) ) ) ) ) ) ) )).
fof(t131_member_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k15_member_1(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(k7_xcmplx_0(A,C),k7_xcmplx_0(A,D),k7_xcmplx_0(B,C),k7_xcmplx_0(B,D)) ) ) ) ) )).
fof(t131_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(E)) => ( ( k1_funct_1(E,G) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) & k3_msafree5(A,k1_msafree3(A,C),F) = B ) => m1_msafree4(k7_trees_2(E,G,F),u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,C)),k3_msafree5(A,k1_msafree3(A,C),E))) ) ) ) ) ) ) ) ) )).
fof(t131_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_tarski(B,k1_relset_1(u1_struct_0(A),C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,B) => k7_partfun1(u1_struct_0(A),C,F) = k3_rlvect_1(A,k1_clvect_1(A,F,D),E) ) ) ) => r7_ncfcont1(A,A,C,B) ) ) ) ) ) )).
fof(t131_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( v2_relat_1(B) & r2_pboole(A,B,C) ) => v2_relat_1(C) ) ) ) )).
fof(t131_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_hidden(B,k8_relat_1(C,A)) <=> ? [D] : ( r2_hidden(D,k10_xtuple_0(C)) & r2_hidden(k4_tarski(B,D),C) & r2_hidden(D,A) ) ) ) )).
fof(t131_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [D] : ( v1_xreal_0(D) => k22_rvsum_1(k11_rvsum_1(A,B,D),C) = k3_xcmplx_0(D,k22_rvsum_1(B,C)) ) ) ) ) )).
fof(t131_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ( r2_tarski(B,k25_seq_4(A)) <=> v1_seq_4(B,A) ) ) ) )).
fof(t131_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,B)),C) = k5_sheffer1(A,C,B) ) ) ) )).
fof(t131_sincos10,axiom,( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k3_sincos10,k7_relset_1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers)))) )).
fof(t131_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_pre_topc(E,A) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(E),u1_struct_0(B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) => ~ ( ( r1_tsep_1(C,D) | r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),F),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),G)) ) & ( r1_tsep_1(C,E) | r2_funct_2(u1_struct_0(k2_tsep_1(A,C,E)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,E),F),k3_tmap_1(A,B,E,k2_tsep_1(A,C,E),H)) ) & ( r1_tsep_1(D,E) | r2_funct_2(u1_struct_0(k2_tsep_1(A,D,E)),u1_struct_0(B),k3_tmap_1(A,B,D,k2_tsep_1(A,D,E),G),k3_tmap_1(A,B,E,k2_tsep_1(A,D,E),H)) ) & ~ r1_funct_2(u1_struct_0(k1_tsep_1(A,k1_tsep_1(A,C,D),E)),u1_struct_0(B),u1_struct_0(k1_tsep_1(A,C,k1_tsep_1(A,D,E))),u1_struct_0(B),k10_tmap_1(A,B,k1_tsep_1(A,C,D),E,k10_tmap_1(A,B,C,D,F,G),H),k10_tmap_1(A,B,C,k1_tsep_1(A,D,E),F,k10_tmap_1(A,B,D,E,G,H))) ) ) ) ) ) ) ) ) ) )).
fof(t131_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ! [D] : ( v1_xboolean(D) => ( ( k7_xboolean(A,B) = k2_xboolean & k7_xboolean(C,D) = k2_xboolean ) => k7_xboolean(k5_xboolean(A,C),k5_xboolean(B,D)) = k2_xboolean ) ) ) ) ) )).
fof(t131_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( A != k5_numbers => k6_xcmplx_0(A,B) = k3_xcmplx_0(A,k6_xcmplx_0(1,k7_xcmplx_0(B,A))) ) ) ) )).
fof(t131_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,k5_numbers) ) => r1_xxreal_0(k3_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(t131_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ~ r1_xxreal_0(B,A) => k2_xxreal_1(A,B) = k2_xboole_0(k1_tarski(A),k4_xxreal_1(A,B)) ) ) ) )).
fof(t131_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ( r2_zf_model(D,k10_zf_lang(A,B)) => ( r2_tarski(C,k2_zf_model(B)) | r2_zf_model(D,k10_zf_lang(k12_zf_lang(C,A),B)) ) ) ) ) ) ) )).
fof(t131_zfmisc_1,axiom,( ! [A] : ~ ( ~ v1_xboole_0(A) & v1_zfmisc_1(A) & ! [B] : A != k1_tarski(B) ) )).
fof(t131_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m2_zmodul01(D,A,B) => ! [E] : ( m2_zmodul01(E,A,C) => ( ~ r1_xboole_0(D,E) => m2_zmodul01(k9_subset_1(u1_struct_0(A),D,E),A,k7_zmodul01(A,B,C)) ) ) ) ) ) ) )).
fof(t132_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_subset_1(C,k2_abcmiz_1) => ( ~ r2_tarski(C,k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,B,k35_abcmiz_1(C,A)) = k35_abcmiz_1(C,A) ) ) ) ) )).
fof(t132_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_absred_0(A,B,C) => r12_absred_0(A,B,C) ) ) ) ) )).
fof(t132_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k12_aofa_l00(A,E,F,k12_aofa_l00(A,E,F,H)),I)),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t132_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),C) ) ) ) ) ) ) ) )).
fof(t132_finseq_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(C,k4_finseq_2(B,A)) <=> ( k3_finseq_1(C) = B & r1_tarski(k10_xtuple_0(C),A) ) ) ) ) )).
fof(t132_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k1_funct_6(k9_finseq_1(A)) = k9_finseq_1(k9_xtuple_0(A)) & k2_funct_6(k9_finseq_1(A)) = k9_finseq_1(k10_xtuple_0(A)) ) ) )).
fof(t132_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( A != B => k9_funct_4(A,B,A,C,D,E) = k4_funct_4(A,B,E,D) ) )).
fof(t132_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => r1_funct_7(k1_funct_4(D,B),k1_funct_4(D,C),A) ) ) ) )).
fof(t132_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(A,u1_struct_0(k49_gfacirc1(A,B,C))) & r2_tarski(B,u1_struct_0(k49_gfacirc1(A,B,C))) & r2_tarski(C,u1_struct_0(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),u1_struct_0(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),C),k1_facirc_1),u1_struct_0(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),u1_struct_0(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k6_twoscomp),u1_struct_0(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),u1_struct_0(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k4_tarski(k10_finseq_1(C,A),k6_twoscomp)),k18_twoscomp),u1_struct_0(k49_gfacirc1(A,B,C))) ) )).
fof(t132_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ~ ( r1_glib_000(A,k4_glib_001(A,B),D,C) & v3_glib_001(k10_glib_001(A,B,C),A) ) ) ) )).
fof(t132_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ( k7_struct_0(C) = k1_card_1(k13_group_2(A,C,B)) & k7_struct_0(C) = k1_card_1(k14_group_2(A,C,B)) ) ) ) ) )).
fof(t132_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_card_1(k7_group_3(A,B)) = k17_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B))) ) ) )).
fof(t132_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ v5_pre_topc(k9_jgraph_4(A),k15_euclid(2),k15_euclid(2)) ) ) )).
fof(t132_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k17_euclid(B) = F & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k18_euclid(A),k18_euclid(B)) & r1_xxreal_0(G,k18_euclid(B)) & r1_xxreal_0(k17_euclid(C),F) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(D),E) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t132_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(C,D) => ( r1_xxreal_0(C,k5_numbers) | ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) => ( E = k5_euclid(A) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( F = k8_metric_1(k14_euclid(A),E,B) => r1_tarski(k1_convex1(k15_euclid(A),F,C),k1_convex1(k15_euclid(A),F,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(t132_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r2_hidden(k1_xxreal_3(B,C),k16_member_1(A,B)) ) ) ) ) )).
fof(t132_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [F] : ( ( v8_msafree5(F,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) => ( v5_msafree5(C) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(F)) => ( ( k1_funct_1(F,G) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) & k3_msafree5(A,k1_msafree3(A,C),E) = B ) => k18_msafree5(A,C,B,D,F,E) = k7_trees_2(F,G,E) ) ) ) ) ) ) ) ) ) )).
fof(t132_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) => k7_partfun1(k1_numbers,B,C) = k2_normsp_0(A,C) ) ) => r11_ncfcont1(A,B,k1_relset_1(u1_struct_0(A),B)) ) ) ) )).
fof(t132_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( v2_relat_1(B) & r7_pboole(A,B,C) ) => r2_pboole(A,B,C) ) ) ) )).
fof(t132_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k8_relat_1(B,A),k9_xtuple_0(B)) ) )).
fof(t132_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k7_rvsum_1(A,B),C) = k4_xcmplx_0(k22_rvsum_1(B,C)) ) ) ) )).
fof(t132_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k12_seq_4(A))) => ( v2_seq_4(B,A) <=> v1_seq_4(k3_subset_1(k12_seq_4(A),B),A) ) ) ) )).
fof(t132_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,B)) = C ) ) ) )).
fof(t132_sincos10,axiom,( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k4_sincos10,k7_relset_1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2))))) )).
fof(t132_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( ~ r1_tsep_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) & r4_tsep_1(A,C,D) ) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) )).
fof(t132_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ( k7_xboolean(A,B) = k2_xboolean <=> ( k6_xboolean(A,B) = k2_xboolean & k6_xboolean(B,A) = k2_xboolean ) ) ) ) )).
fof(t132_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( A != k5_numbers => C = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,C),B),B),A) ) ) ) ) )).
fof(t132_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t132_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ~ r1_xxreal_0(B,A) => k3_xxreal_1(A,B) = k2_xboole_0(k4_xxreal_1(A,B),k1_tarski(B)) ) ) ) )).
fof(t132_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ( r2_zf_model(D,k10_zf_lang(A,k7_zf_lang(C,B))) => r2_zf_model(D,k10_zf_lang(A,B)) ) ) ) ) ) )).
fof(t132_zfmisc_1,axiom,( ! [A] : ! [B] : ( v1_zfmisc_1(B) => ( r2_tarski(A,B) => B = k1_tarski(A) ) ) )).
fof(t132_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( r1_zmodul01(A,B,C) <=> ! [D] : ( m2_zmodul01(D,A,B) => ! [E] : ( m2_zmodul01(E,A,C) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k9_subset_1(u1_struct_0(A),D,E) = k6_domain_1(u1_struct_0(A),F) ) ) ) ) ) ) ) )).
fof(t133_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_subset_1(C,k2_abcmiz_1) => ( r2_tarski(C,k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,B,k35_abcmiz_1(C,A)) = k1_funct_1(B,C) ) ) ) ) )).
fof(t133_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_absred_0(A,B,C) => r13_absred_0(A,B,C) ) ) ) ) )).
fof(t133_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k14_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J)),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k14_aofa_l00(A,E,F,H,I),J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t133_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),C) ) ) ) ) ) ) ) ) )).
fof(t133_finseq_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,A) => ( r2_tarski(C,k4_finseq_2(B,A)) <=> k3_finseq_1(C) = B ) ) ) )).
fof(t133_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k1_funct_6(k10_finseq_1(A,B)) = k10_finseq_1(k9_xtuple_0(A),k9_xtuple_0(B)) & k2_funct_6(k10_finseq_1(A,B)) = k10_finseq_1(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) ) )).
fof(t133_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k9_funct_4(A,B,B,C,D,E) = k4_funct_4(A,B,C,E) )).
fof(t133_funct_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) ) => k1_card_1(k61_valued_1(B,A)) = k1_card_1(B) ) ) )).
fof(t133_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),k3_msafree2(k49_gfacirc1(A,B,C))) & r2_tarski(k48_gfacirc1(A,B,C),k3_msafree2(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k6_twoscomp),k3_msafree2(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k6_twoscomp),k3_msafree2(k49_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),k3_msafree2(k49_gfacirc1(A,B,C))) & r2_tarski(k45_gfacirc1(A,B,C),k3_msafree2(k49_gfacirc1(A,B,C))) ) )).
fof(t133_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ~ ( ~ v3_glib_001(B,A) & ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ~ ( C = k6_xcmplx_0(k3_finseq_1(B),2) & r2_relset_1(k4_ordinal1,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k10_glib_001(A,k8_glib_001(A,B,1,C),k1_funct_1(B,k1_nat_1(C,1))),B) ) ) ) ) ) )).
fof(t133_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v8_struct_0(C) & m1_group_2(C,A) ) => ? [D] : ( v1_finset_1(D) & ? [E] : ( v1_finset_1(E) & D = k13_group_2(A,C,B) & E = k14_group_2(A,C,B) & k7_group_1(C) = k4_card_1(D) & k7_group_1(C) = k4_card_1(E) ) ) ) ) ) )).
fof(t133_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( ( v1_finset_1(k7_group_3(A,B)) | v1_finset_1(k15_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B)))) ) & ! [C] : ( v1_finset_1(C) => ~ ( C = k7_group_3(A,B) & k4_card_1(C) = k18_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B))) ) ) ) ) ) )).
fof(t133_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ v2_funct_1(k9_jgraph_4(A)) ) ) )).
fof(t133_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k17_euclid(B) = F & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(k18_euclid(A),H) & ~ r1_xxreal_0(k18_euclid(A),k18_euclid(B)) & r1_xxreal_0(G,k18_euclid(B)) & r1_xxreal_0(k17_euclid(C),F) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t133_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k16_member_1(A,B) = a_2_8_member_1(A,B) ) ) )).
fof(t133_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( r2_tarski(D,k9_xtuple_0(C)) & r2_tarski(E,k9_xtuple_0(C)) ) => ( D = E | ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_msafree4(H,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,F)) => ! [I] : ( m1_msafree4(I,u1_struct_0(A),B,k1_msafree4(u1_struct_0(A),B,G)) => ~ ( k1_funct_1(C,D) = k1_domain_1(k1_msafree4(u1_struct_0(A),B,F),u1_struct_0(A),H,F) & r1_tarski(D,E) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t133_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(u1_struct_0(A),C)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => k7_partfun1(k1_numbers,C,D) = k2_normsp_0(A,D) ) ) ) => r11_ncfcont1(A,C,B) ) ) ) )).
fof(t133_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( v2_relat_1(B) & r7_pboole(A,B,C) ) => v2_relat_1(C) ) ) ) )).
fof(t133_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k8_relat_1(B,A) = k8_relat_1(B,k3_xboole_0(k10_xtuple_0(B),A)) ) )).
fof(t133_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k7_rvsum_1(A,B),k7_rvsum_1(A,C)) = k22_rvsum_1(B,C) ) ) ) )).
fof(t133_seq_4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( A != k1_xboole_0 => ( v4_xxreal_2(A) & r2_hidden(k2_seq_4(A),A) & v3_xxreal_2(A) & r2_hidden(k3_seq_4(A),A) ) ) ) )).
fof(t133_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,B,B)) = B ) ) ) )).
fof(t133_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( r1_tsep_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( r4_tsep_1(A,C,D) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) )).
fof(t133_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => ! [D] : ( v1_xboolean(D) => ( ( k7_xboolean(A,B) = k2_xboolean & k7_xboolean(C,D) = k2_xboolean ) => k7_xboolean(k6_xboolean(A,C),k6_xboolean(B,D)) = k2_xboolean ) ) ) ) ) )).
fof(t133_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k4_xcmplx_0(A) = k4_xcmplx_0(B) => A = B ) ) ) )).
fof(t133_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,k3_xcmplx_0(A,B)) & ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(k5_numbers,B) ) & ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) ) ) ) ) )).
fof(t133_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k6_subset_1(k1_xxreal_1(A,B),k2_tarski(A,B)) = k4_xxreal_1(A,B) ) ) ) )).
fof(t133_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ( r2_zf_model(D,k10_zf_lang(k12_zf_lang(C,A),B)) => r2_zf_model(D,k10_zf_lang(A,B)) ) ) ) ) ) )).
fof(t133_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r2_tarski(A,D) & r2_tarski(B,D) & r2_tarski(C,D) ) => r1_tarski(k1_enumset1(A,B,C),D) ) )).
fof(t133_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( k6_zmodul01(A,B,C) = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,E) & r1_struct_0(C,F) & D = k3_rlvect_1(A,E,F) ) ) ) ) ) ) ) )).
fof(t134_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v2_abcmiz_1(B,A) & m1_subset_1(B,u4_struct_0(A)) ) => ! [C] : ( m1_trees_4(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k34_abcmiz_1(A)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( k3_finseq_1(C) = k3_finseq_1(k1_msualg_1(A,B)) => k56_abcmiz_1(A,D,k36_abcmiz_1(A,B,C)) = k36_abcmiz_1(A,B,k58_abcmiz_1(A,D,C)) ) ) ) ) ) )).
fof(t134_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r5_absred_0(A,B,C) => r12_absred_0(A,B,C) ) ) ) ) )).
fof(t134_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ( r2_tarski(I,k1_msafree4(u1_struct_0(B),D,J)) => ( r2_hidden(I,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),H),J)) | r2_tarski(k16_aofa_l00(A,E,F,H,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I)),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t134_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,k5_margrel1) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),H),B) & r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),E),F),G),H),C) ) ) ) ) ) ) ) ) ) )).
fof(t134_finseq_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => r1_tarski(k4_finseq_2(B,A),k3_finseq_2(A)) ) )).
fof(t134_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k1_funct_6(k11_finseq_1(A,B,C)) = k11_finseq_1(k9_xtuple_0(A),k9_xtuple_0(B),k9_xtuple_0(C)) & k2_funct_6(k11_finseq_1(A,B,C)) = k11_finseq_1(k10_xtuple_0(A),k10_xtuple_0(B),k10_xtuple_0(C)) ) ) ) ) )).
fof(t134_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ~ ( A != B & A != C & k1_funct_1(k9_funct_4(A,B,C,D,E,F),A) != D ) )).
fof(t134_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( k9_xtuple_0(C) = k9_xtuple_0(D) & r1_tarski(k9_xtuple_0(C),k2_xboole_0(A,B)) & k5_relat_1(C,B) = k5_relat_1(D,B) ) => r1_funct_7(C,D,A) ) ) ) )).
fof(t134_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & ~ ( r2_tarski(A,k2_msafree2(k49_gfacirc1(A,B,C))) & r2_tarski(B,k2_msafree2(k49_gfacirc1(A,B,C))) & r2_tarski(C,k2_msafree2(k49_gfacirc1(A,B,C))) ) ) )).
fof(t134_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( r1_tarski(k14_glib_001(A,C),k14_glib_001(A,B)) => ( v3_glib_001(C,A) | r1_tarski(k13_glib_001(A,C),k13_glib_001(A,B)) ) ) ) ) ) )).
fof(t134_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( v8_struct_0(A) => ( v1_finset_1(k16_group_2(A,B)) & v1_finset_1(k15_group_2(A,B)) ) ) ) ) )).
fof(t134_group_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,B) ) => ( r1_struct_0(k11_group_3(B,C),A) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & A = D & r1_group_2(B,k6_group_3(B,C,D),C) ) ) ) ) )).
fof(t134_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ ( v1_funct_1(k9_jgraph_4(A)) & v1_funct_2(k9_jgraph_4(A),u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(k9_jgraph_4(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) & k2_relset_1(u1_struct_0(k15_euclid(2)),k9_jgraph_4(A)) = u1_struct_0(k15_euclid(2)) ) ) ) )).
fof(t134_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(k17_euclid(B),F) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(D),E) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t134_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ~ ( r2_tarski(C,k16_member_1(A,B)) & ! [D] : ( m1_subset_1(D,k6_numbers) => ~ ( C = k1_xxreal_3(B,D) & r2_tarski(D,A) ) ) ) ) ) )).
fof(t134_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(E)) => ( ( F = k7_trees_2(E,G,k6_msafree5(A,C,B,D)) & v9_msafree5(E,A,C,k1_msafree3(A,C),B,D) ) => ( v8_msafree5(F,A,C,k1_msafree3(A,C),B,D) & m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) ) ) ) ) ) ) ) ) ) )).
fof(t134_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & r1_pboole(A,C,B) ) ) )).
fof(t134_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k8_relat_1(A,k10_xtuple_0(A)) = k9_xtuple_0(A) ) )).
fof(t134_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k9_rvsum_1(A,B,C),D) = k6_xcmplx_0(k22_rvsum_1(B,D),k22_rvsum_1(C,D)) ) ) ) ) )).
fof(t134_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) ) => ( r2_tarski(A,k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) ) ) & ( ( r2_tarski(A,k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) ) => ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) ) ) ) ) ) )).
fof(t134_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,C,k5_sheffer1(A,C,C))),k5_sheffer1(A,D,B)) = D ) ) ) ) )).
fof(t134_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) ) => ( ~ r1_tsep_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) )).
fof(t134_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k3_xboolean(k9_xboolean(A,k3_xboolean(A))) = k2_xboolean ) )).
fof(t134_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k4_xcmplx_0(A) = k5_numbers => A = k5_numbers ) ) )).
fof(t134_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k3_xcmplx_0(A,B),k5_numbers) & ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) ) & ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k5_numbers,B) ) ) ) ) )).
fof(t134_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k6_subset_1(k1_xxreal_1(A,B),k1_tarski(A)) = k3_xxreal_1(A,B) ) ) ) )).
fof(t134_zf_lang1,axiom,( r1_tarski(k8_zf_lang,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) )).
fof(t134_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(k4_tarski(A,B),C) => ( r2_hidden(A,k3_tarski(k3_tarski(C))) & r2_hidden(B,k3_tarski(k3_tarski(C))) ) ) )).
fof(t134_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_zmodul01(A,B,C) & k3_rlvect_1(A,F,G) = k3_rlvect_1(A,D,E) & r1_struct_0(B,F) & r1_struct_0(B,D) & r1_struct_0(C,G) & r1_struct_0(C,E) ) => ( F = D & G = E ) ) ) ) ) ) ) ) ) )).
fof(t135_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => k56_abcmiz_1(A,C,k30_abcmiz_1(A,k32_abcmiz_1(A),B)) = k30_abcmiz_1(A,k32_abcmiz_1(A),k56_abcmiz_1(A,C,B)) ) ) ) )).
fof(t135_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r5_absred_0(A,B,C) => r13_absred_0(A,B,C) ) ) ) ) )).
fof(t135_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(J,k1_msafree4(u1_struct_0(B),D,K)) ) => ( r2_hidden(J,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),H),K)) | r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k14_aofa_l00(A,E,F,H,I),J),k14_aofa_l00(A,E,F,H,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t135_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r1_bvfunc_1(A,B,C) & r1_bvfunc_1(A,D,E) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,E)) ) ) ) ) ) ) )).
fof(t135_finseq_2,axiom,( ! [A] : ! [B] : ( r2_hidden(B,k4_finseq_2(1,A)) <=> ? [C] : ( r2_tarski(C,A) & B = k9_finseq_1(C) ) ) )).
fof(t135_finseq_3,axiom,( ! [A] : ( k3_card_3(k9_finseq_1(A)) = A & k3_funct_6(k9_finseq_1(A)) = A ) )).
fof(t135_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( B != C => k1_funct_1(k9_funct_4(A,B,C,D,E,F),B) = E ) & k1_funct_1(k9_funct_4(A,B,C,D,E,F),C) = F ) )).
fof(t135_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( k9_xtuple_0(C) = k9_xtuple_0(D) & r1_tarski(B,k9_xtuple_0(C)) & r1_xboole_0(A,B) & r1_funct_7(C,D,A) ) => k5_relat_1(C,B) = k5_relat_1(D,B) ) ) ) )).
fof(t135_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & ? [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k49_gfacirc1(A,B,C),k50_gfacirc1(A,B,C)))) & ? [E] : ( m1_subset_1(E,k5_margrel1) & ? [F] : ( m1_subset_1(F,k5_margrel1) & ? [G] : ( m1_subset_1(G,k5_margrel1) & E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) & ~ ( k1_funct_1(k5_facirc_1(k49_gfacirc1(A,B,C),k50_gfacirc1(A,B,C),D,2),k48_gfacirc1(A,B,C)) = k8_margrel1(k2_binarith(k2_binarith(k8_margrel1(E),k8_margrel1(F)),k8_margrel1(G))) & k1_funct_1(k5_facirc_1(k49_gfacirc1(A,B,C),k50_gfacirc1(A,B,C),D,2),k45_gfacirc1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),k8_margrel1(F)),k9_margrel1(k8_margrel1(F),k8_margrel1(G))),k9_margrel1(k8_margrel1(G),k8_margrel1(E)))) ) ) ) ) ) ) )).
fof(t135_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ~ v3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ~ ( r2_tarski(C,k13_glib_001(A,B)) & v10_glib_000(C,A) ) ) ) ) ) )).
fof(t135_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( r2_tarski(k8_group_2(A,B),k15_group_2(A,B)) & r2_tarski(k8_group_2(A,B),k16_group_2(A,B)) ) ) ) )).
fof(t135_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => k1_card_1(k9_group_3(A,B)) = k17_group_2(A,k11_group_3(A,B)) ) ) )).
fof(t135_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ! [C] : ( ( ~ v1_xboole_0(C) & v2_compts_1(C,k15_euclid(2)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( C = k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r2_tarski(B,D) & v3_pre_topc(D,k15_euclid(2)) & r1_tarski(D,C) & r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B),D) ) ) ) ) ) ) )).
fof(t135_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k17_euclid(A) = F & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(k17_euclid(B),F) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t135_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => ( r1_tarski(k16_member_1(A,C),k16_member_1(B,C)) => r1_tarski(A,B) ) ) ) ) )).
fof(t135_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(E)) => ( k1_funct_1(E,G) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) => r1_tarski(k9_xtuple_0(E),k9_xtuple_0(k7_trees_2(E,G,F))) ) ) ) ) ) ) ) ) )).
fof(t135_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r1_pboole(A,D,C) <=> r1_pboole(A,D,B) ) ) => r6_pboole(A,C,B) ) ) ) )).
fof(t135_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k8_relat_1(B,A),k8_relat_1(B,k10_xtuple_0(B))) ) )).
fof(t135_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k5_rvsum_1(A,k11_rvsum_1(A,D,B),k11_rvsum_1(A,E,C)),F) = k2_xcmplx_0(k3_xcmplx_0(B,k22_rvsum_1(D,F)),k3_xcmplx_0(C,k22_rvsum_1(E,F))) ) ) ) ) ) ) )).
fof(t135_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,2),k3_finseq_1(B)) ) => ( r2_tarski(A,k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,2),k4_finseq_1(B)) ) ) & ( ( r2_tarski(A,k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,2),k4_finseq_1(B)) ) => ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,2),k3_finseq_1(B)) ) ) ) ) ) )).
fof(t135_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,C)) = C ) ) ) )).
fof(t135_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) ) => ( ~ r1_tsep_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) )).
fof(t135_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k8_xboolean(A,k3_xboolean(A)) = k2_xboolean ) )).
fof(t135_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k2_xcmplx_0(A,k4_xcmplx_0(B)) = k5_numbers => A = B ) ) ) )).
fof(t135_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(B,k5_numbers) ) => r1_xxreal_0(k5_numbers,k7_xcmplx_0(A,B)) ) ) ) )).
fof(t135_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k6_subset_1(k1_xxreal_1(A,B),k1_tarski(B)) = k2_xxreal_1(A,B) ) ) ) )).
fof(t135_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ( A != k5_numbers & A != 1 & A != 2 & A != 3 & A != 4 ) ) )).
fof(t135_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( r1_tarski(C,k2_xboole_0(B,k1_tarski(A))) & ~ r2_hidden(A,C) & ~ r1_tarski(C,B) ) )).
fof(t135_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ( A = k6_zmodul01(A,B,C) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & k3_rlvect_1(A,E,F) = k3_rlvect_1(A,G,H) & r1_struct_0(B,E) & r1_struct_0(B,G) & r1_struct_0(C,F) & r1_struct_0(C,H) & ~ ( E = G & F = H ) ) ) ) ) ) | r1_zmodul01(A,B,C) ) ) ) ) ) )).
fof(t136_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k12_abcmiz_1(A)) => ! [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => k56_abcmiz_1(A,D,k31_abcmiz_1(A,k33_abcmiz_1(A),C,B)) = k31_abcmiz_1(A,k33_abcmiz_1(A),k56_abcmiz_1(A,D,C),k56_abcmiz_1(A,D,B)) ) ) ) ) )).
fof(t136_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r6_absred_0(A,B,C) => r12_absred_0(A,B,C) ) ) ) ) )).
fof(t136_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(J,k1_msafree4(u1_struct_0(B),D,K)) ) => ( r2_hidden(J,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),H),K)) | r2_tarski(k15_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k13_aofa_l00(A,E,F,H,I),J),k13_aofa_l00(A,E,F,H,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t136_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k2_bvfunc_1(A,B,C),D) => r1_bvfunc_1(A,k2_bvfunc_1(A,B,k1_bvfunc_1(A,D)),k1_bvfunc_1(A,C)) ) ) ) ) ) )).
fof(t136_finseq_2,axiom,( ! [A] : ! [B] : ( r2_tarski(k9_finseq_1(B),k4_finseq_2(1,A)) => r2_hidden(B,A) ) )).
fof(t136_finseq_3,axiom,( ! [A] : ! [B] : ( k3_card_3(k10_finseq_1(A,B)) = k2_xboole_0(A,B) & k3_funct_6(k10_finseq_1(A,B)) = k3_xboole_0(A,B) ) )).
fof(t136_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( ( k9_xtuple_0(G) = k1_enumset1(A,B,C) & k1_funct_1(G,A) = D & k1_funct_1(G,B) = E & k1_funct_1(G,C) = F ) => G = k9_funct_4(A,B,C,D,E,F) ) ) )).
fof(t136_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) ) => ( ( r1_tarski(C,k2_xboole_0(A,B)) & k5_relat_1(D,B) = k5_relat_1(E,B) ) => r1_funct_7(D,E,A) ) ) ) )).
fof(t136_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & A != k4_tarski(k10_finseq_1(B,C),k6_twoscomp) & B != k4_tarski(k10_finseq_1(C,A),k6_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k6_twoscomp) & ~ ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k49_gfacirc1(A,B,C),k50_gfacirc1(A,B,C)))) => v1_circuit2(k5_facirc_1(k49_gfacirc1(A,B,C),k50_gfacirc1(A,B,C),D,2),k49_gfacirc1(A,B,C),k50_gfacirc1(A,B,C)) ) ) )).
fof(t136_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) <=> k14_glib_001(A,B) = k1_xboole_0 ) ) ) )).
fof(t136_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => r2_wellord2(k15_group_2(A,B),k16_group_2(A,B)) ) ) )).
fof(t136_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ~ ( ( v1_finset_1(k9_group_3(A,B)) | v1_finset_1(k15_group_2(A,k11_group_3(A,B))) ) & ! [C] : ( v1_finset_1(C) => ~ ( C = k9_group_3(A,B) & k4_card_1(C) = k18_group_2(A,k11_group_3(A,B)) ) ) ) ) ) )).
fof(t136_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ~ ( r2_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,k9_jgraph_4(A)) & v3_tops_2(B,k15_euclid(2),k15_euclid(2)) ) ) ) ) )).
fof(t136_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = G & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(k17_euclid(A),F) & ~ r1_xxreal_0(k17_euclid(A),k17_euclid(B)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(D),E) & k1_funct_1(I,k5_numbers) = A & k1_funct_1(I,1) = C & k1_funct_1(J,k5_numbers) = B & k1_funct_1(J,1) = D & v5_pre_topc(I,k5_topmetr,k15_euclid(2)) & v2_funct_1(I) & v5_pre_topc(J,k5_topmetr,k15_euclid(2)) & v2_funct_1(J) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_jgraph_6(E,F,G,H)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),J),k2_jgraph_6(E,F,G,H)) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),I),k2_relset_1(u1_struct_0(k15_euclid(2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t136_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => ( k16_member_1(A,C) = k16_member_1(B,C) => A = B ) ) ) ) )).
fof(t136_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [F] : ( m1_subset_1(F,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(F)) => ( k1_funct_1(F,G) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) => k9_xtuple_0(F) = k9_xtuple_0(k7_trees_2(F,G,k6_msafree5(A,C,B,E))) ) ) ) ) ) ) ) ) )).
fof(t136_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( r1_pboole(A,E,D) <=> ( r1_pboole(A,E,B) & r1_pboole(A,E,C) ) ) ) => r6_pboole(A,D,k3_pboole(A,B,C)) ) ) ) ) )).
fof(t136_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k5_rvsum_1(A,B,C),k5_rvsum_1(A,D,E)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(B,D),k22_rvsum_1(B,E)),k22_rvsum_1(C,D)),k22_rvsum_1(C,E)) ) ) ) ) ) )).
fof(t136_seq_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => k7_partfun1(A,k8_finseq_1(A,B,C),k1_nat_1(D,k3_finseq_1(B))) = k7_partfun1(A,C,D) ) ) ) ) ) )).
fof(t136_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,D,C),k5_sheffer1(A,D,k5_sheffer1(A,B,k5_sheffer1(A,B,B)))) = D ) ) ) ) )).
fof(t136_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) ) => ( r1_tsep_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t136_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k5_xboolean(A,k8_xboolean(A,B)) = k2_xboolean ) ) )).
fof(t136_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => A = k2_xcmplx_0(k2_xcmplx_0(A,B),k4_xcmplx_0(B)) ) ) )).
fof(t136_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => r1_xxreal_0(k5_numbers,k7_xcmplx_0(A,B)) ) ) ) )).
fof(t136_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ~ r1_xxreal_0(B,A) => k6_subset_1(k2_xxreal_1(A,B),k1_tarski(A)) = k4_xxreal_1(A,B) ) ) ) )).
fof(t136_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ~ r2_tarski(A,k3_enumset1(k5_numbers,1,2,3,4)) ) )).
fof(t136_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(A,k2_xboole_0(C,k1_tarski(B))) <=> ( r2_hidden(A,C) | A = B ) ) )).
fof(t136_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_zmodul01(A,B,C) => k2_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C)) = k3_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,C,B)) ) ) ) ) ) )).
fof(t137_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_abcmiz_1)) => k56_abcmiz_1(A,k54_abcmiz_1(A,C),B) = B ) ) ) )).
fof(t137_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r6_absred_0(A,B,C) => r13_absred_0(A,B,C) ) ) ) ) )).
fof(t137_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(J,k1_msafree4(u1_struct_0(B),D,K)) ) => ( r2_hidden(J,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),H),K)) | r2_tarski(k16_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k13_aofa_l00(A,E,F,H,I),J),k13_aofa_l00(A,E,F,H,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t137_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,D)),k5_bvfunc_1(A,B,C)),D) ) ) ) ) )).
fof(t137_finseq_2,axiom,( ! [A] : ! [B] : ( r2_hidden(B,k4_finseq_2(2,A)) <=> ? [C] : ? [D] : ( r2_hidden(C,A) & r2_hidden(D,A) & B = k10_finseq_1(C,D) ) ) )).
fof(t137_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( k3_card_3(k11_finseq_1(A,B,C)) = k2_xboole_0(k2_xboole_0(A,B),C) & k3_funct_6(k11_finseq_1(A,B,C)) = k3_xboole_0(k3_xboole_0(A,B),C) ) )).
fof(t137_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k9_xtuple_0(k10_funct_4(D,E,G,F,A,B,C,H)) = k2_enumset1(D,E,G,F) )).
fof(t137_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) ) => ( ( r1_tarski(B,C) & r1_xboole_0(A,B) & r1_funct_7(D,E,A) ) => k5_relat_1(D,B) = k5_relat_1(E,B) ) ) ) )).
fof(t137_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( ( C = D & v3_glib_001(C,A) ) => v3_glib_001(D,B) ) ) ) ) ) )).
fof(t137_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( k5_setfam_1(u1_struct_0(A),k15_group_2(A,B)) = u1_struct_0(A) & k5_setfam_1(u1_struct_0(A),k16_group_2(A,B)) = u1_struct_0(A) ) ) ) )).
fof(t137_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> k11_group_3(A,B) = A ) ) ) )).
fof(t137_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) => ( r1_xxreal_0(1,A) | r1_xxreal_0(k5_numbers,k18_euclid(B)) | ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) => ( ~ r1_xxreal_0(k5_numbers,k18_euclid(C)) & r1_xxreal_0(k5_numbers,k17_euclid(C)) ) ) ) ) ) ) ) )).
fof(t137_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xxreal_0(F,E) & ~ r1_xxreal_0(H,G) & k18_euclid(A) = G & k18_euclid(B) = G & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(k17_euclid(A),F) & ~ r1_xxreal_0(k17_euclid(A),k17_euclid(B)) & ~ r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & ~ r1_xxreal_0(k17_euclid(C),k17_euclid(D)) & ~ r1_xxreal_0(k17_euclid(D),E) & r1_topreal1(k15_euclid(2),A,C,I) & r1_topreal1(k15_euclid(2),B,D,J) & r1_tarski(I,k2_jgraph_6(E,F,G,H)) & r1_tarski(J,k2_jgraph_6(E,F,G,H)) & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t137_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k16_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k16_member_1(A,C),k16_member_1(B,C)) ) ) ) )).
fof(t137_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( m1_trees_1(C,A) => k4_trees_1(k5_trees_1(A,C,B),C) = B ) ) ) )).
fof(t137_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ~ r2_tarski(k1_xboole_0,k10_xtuple_0(B)) ) )).
fof(t137_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k9_rvsum_1(A,B,C),k9_rvsum_1(A,D,E)) = k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(B,D),k22_rvsum_1(B,E)),k22_rvsum_1(C,D)),k22_rvsum_1(C,E)) ) ) ) ) ) )).
fof(t137_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v5_valued_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & r1_xxreal_0(B,C) ) => r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(t137_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D),k5_sheffer1(A,k5_sheffer1(A,C,C),D)),k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,F,C)),k5_sheffer1(A,D,k5_sheffer1(A,F,C)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,B,k5_sheffer1(A,B,B))),k5_sheffer1(A,D,k5_sheffer1(A,F,C))),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,C),k5_sheffer1(A,F,C)),k5_sheffer1(A,D,k5_sheffer1(A,F,C)))) ) ) ) ) ) ) )).
fof(t137_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) ) => ( r1_tsep_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t137_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k8_xboolean(A,k9_xboolean(A,B)) = k2_xboolean ) ) )).
fof(t137_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => A = k2_xcmplx_0(A,k2_xcmplx_0(B,k4_xcmplx_0(B))) ) ) )).
fof(t137_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,k5_numbers) ) => r1_xxreal_0(k7_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(t137_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ~ r1_xxreal_0(B,A) => k6_subset_1(k3_xxreal_1(A,B),k1_tarski(B)) = k4_xxreal_1(A,B) ) ) ) )).
fof(t137_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( r2_tarski(B,k3_zf_lang1(A)) => ( B != k5_numbers & B != 1 & B != 2 & B != 3 & B != 4 ) ) ) )).
fof(t137_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(k2_xboole_0(C,k1_tarski(A)),B) <=> ( r2_hidden(A,B) & r1_tarski(C,B) ) ) )).
fof(t137_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_zmodul01(A,B,C) => k3_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C)) = k2_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,C,B)) ) ) ) ) ) )).
fof(t138_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) => r2_relset_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k55_abcmiz_1(A,k54_abcmiz_1(A,B)),k6_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))))) ) ) )).
fof(t138_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_absred_0(A,B,C) => r11_absred_0(A,B,C) ) ) ) ) )).
fof(t138_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ! [K] : ( m1_subset_1(K,u1_struct_0(B)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(J,k1_msafree4(u1_struct_0(B),D,K)) ) => ( r2_hidden(J,k1_funct_1(k10_aofa_a00(E,F,u1_aofa_l00(E),H),K)) | r2_tarski(k15_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k15_aofa_l00(A,E,F,H,I),J),k15_aofa_l00(A,E,F,H,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J))),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t138_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,D)),k2_bvfunc_1(A,B,C)),D) ) ) ) ) )).
fof(t138_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(k10_finseq_1(B,C),k4_finseq_2(2,A)) => ( r2_hidden(B,A) & r2_hidden(C,A) ) ) )).
fof(t138_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,k9_xtuple_0(B)) => ( k4_funct_6(k9_finseq_1(B),1,A) = k1_funct_1(B,A) & k4_funct_6(k10_finseq_1(B,C),1,A) = k1_funct_1(B,A) & k4_funct_6(k11_finseq_1(B,C,D),1,A) = k1_funct_1(B,A) ) ) ) ) ) )).
fof(t138_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : r1_tarski(k10_xtuple_0(k10_funct_4(D,E,G,F,A,B,C,H)),k2_enumset1(A,B,C,H)) )).
fof(t138_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( r1_tarski(A,B) => ( r2_hidden(C,k9_xtuple_0(A)) | r1_tarski(A,k1_funct_7(B,C,D)) ) ) ) ) )).
fof(t138_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v4_glib_001(B,A) <=> ! [C] : ( ( v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(t138_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k15_group_2(A,k6_group_2(A)) = a_1_0_group_2(A) ) )).
fof(t138_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k11_group_3(A,k6_group_2(A)) = A ) )).
fof(t138_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(k5_numbers,k18_euclid(B)) & ~ r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & ~ ( ~ r1_xxreal_0(k5_numbers,k18_euclid(C)) & ~ r1_xxreal_0(k5_numbers,k17_euclid(C)) ) ) ) ) ) )).
fof(t138_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xxreal_0(C) => r1_tarski(k6_subset_1(k16_member_1(A,C),k16_member_1(B,C)),k16_member_1(k6_subset_1(A,B),C)) ) ) ) )).
fof(t138_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(A)) => k5_trees_2(k7_trees_2(A,C,B),C) = B ) ) ) )).
fof(t138_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k10_xtuple_0(B)) => ? [D] : ( r2_hidden(D,A) & C = k1_funct_1(B,D) ) ) ) ) )).
fof(t138_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( k8_relat_1(B,A) = k1_xboole_0 <=> r1_xboole_0(k10_xtuple_0(B),A) ) ) )).
fof(t138_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k5_rvsum_1(A,B,C),k5_rvsum_1(A,B,C)) = k2_xcmplx_0(k2_xcmplx_0(k22_rvsum_1(B,B),k3_xcmplx_0(2,k22_rvsum_1(B,C))),k22_rvsum_1(C,C)) ) ) ) )).
fof(t138_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v5_valued_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & B != C & k1_funct_1(A,B) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(t138_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B)))) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,B),k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B)))) ) ) ) ) ) )).
fof(t138_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r3_tsep_1(A,B,C) <=> ( r1_tsep_1(B,C) & ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(D)) & v5_pre_topc(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v5_pre_topc(F,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( v1_funct_1(k10_tmap_1(A,D,B,C,E,F)) & v1_funct_2(k10_tmap_1(A,D,B,C,E,F),u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) & v5_pre_topc(k10_tmap_1(A,D,B,C,E,F),k1_tsep_1(A,B,C),D) & m1_subset_1(k10_tmap_1(A,D,B,C,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)))) ) ) ) ) ) ) ) ) ) )).
fof(t138_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k4_xboolean(A,k3_xboolean(A)) = k1_xboolean ) )).
fof(t138_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => A = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),A),B) ) ) )).
fof(t138_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,B) ) => r1_xxreal_0(k7_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(t138_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,B) & k3_xboole_0(k3_xxreal_1(A,B),k2_xxreal_1(B,C)) != k1_tarski(B) ) ) ) ) )).
fof(t138_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k3_zf_lang(A,B)) = k2_tarski(A,B) ) ) )).
fof(t138_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( r1_tarski(B,C) & r1_tarski(C,k2_xboole_0(B,k1_tarski(A))) & k2_xboole_0(B,k1_tarski(A)) != C & B != C ) )).
fof(t138_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( ( k3_rlvect_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E),k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) = D & r1_struct_0(B,k2_domain_1(u1_struct_0(A),u1_struct_0(A),E)) & r1_struct_0(C,k3_domain_1(u1_struct_0(A),u1_struct_0(A),E)) ) => E = k9_zmodul01(A,D,B,C) ) ) ) ) ) ) )).
fof(t139_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( ( v1_xboole_0(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => k56_abcmiz_1(A,C,B) = B ) ) ) )).
fof(t139_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_absred_0(A,B,C) => r11_absred_0(A,B,C) ) ) ) ) )).
fof(t139_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) => r2_tarski(k15_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I),k19_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I,I)),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t139_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r1_bvfunc_1(A,B,C) & r1_bvfunc_1(A,D,E) ) => r1_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,E)) ) ) ) ) ) ) )).
fof(t139_finseq_2,axiom,( ! [A] : ! [B] : ( r2_hidden(B,k4_finseq_2(3,A)) <=> ? [C] : ? [D] : ? [E] : ( r2_hidden(C,A) & r2_hidden(D,A) & r2_hidden(E,A) & B = k11_finseq_1(C,D,E) ) ) )).
fof(t139_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,k9_xtuple_0(C)) => ( k4_funct_6(k10_finseq_1(B,C),2,A) = k1_funct_1(C,A) & k4_funct_6(k11_finseq_1(B,C,D),2,A) = k1_funct_1(C,A) ) ) ) ) ) )).
fof(t139_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k1_funct_1(k10_funct_4(D,E,G,F,A,B,C,H),F) = H )).
fof(t139_funct_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ! [F] : k1_funct_4(B,k4_funct_4(C,D,E,F)) = k1_funct_7(k1_funct_7(B,C,E),D,F) ) ) ) ) )).
fof(t139_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( r1_xxreal_0(k3_finseq_1(B),3) => v4_glib_001(B,A) ) ) ) )).
fof(t139_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k16_group_2(A,k6_group_2(A)) = a_1_0_group_2(A) ) )).
fof(t139_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k11_group_3(A,k7_group_2(A)) = A ) )).
fof(t139_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(C),k12_euclid(C))) ) => ( r1_xxreal_0(1,A) | r1_xxreal_0(k5_numbers,k18_euclid(B)) | r1_xxreal_0(k5_numbers,k18_euclid(C)) | r1_xxreal_0(k7_xcmplx_0(k17_euclid(C),k12_euclid(C)),k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) | ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E),k12_euclid(E)),k7_xcmplx_0(k17_euclid(D),k12_euclid(D))) ) ) ) ) ) ) ) ) )).
fof(t139_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k16_member_1(k6_subset_1(A,B),C) = k6_subset_1(k16_member_1(A,C),k16_member_1(B,C)) ) ) ) )).
fof(t139_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_msualg_6(C,A,k1_msafree3(A,B)) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(D)) => ( E = k5_trees_2(D,F) => k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,D),F) = k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),C,E) ) ) ) ) ) ) ) )).
fof(t139_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( r2_hidden(C,A) => m1_subset_1(k1_funct_1(B,C),k10_xtuple_0(B)) ) ) )).
fof(t139_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( A != k1_xboole_0 & r1_tarski(A,k10_xtuple_0(B)) & k8_relat_1(B,A) = k1_xboole_0 ) ) )).
fof(t139_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => k22_rvsum_1(k9_rvsum_1(A,B,C),k9_rvsum_1(A,B,C)) = k2_xcmplx_0(k6_xcmplx_0(k22_rvsum_1(B,B),k3_xcmplx_0(2,k22_rvsum_1(B,C))),k22_rvsum_1(C,C)) ) ) ) )).
fof(t139_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( v7_ordinal1(C) => ( ( v5_valued_0(A) & r2_relset_1(k4_ordinal1,k1_numbers,B,k2_partfun1(k4_ordinal1,k1_numbers,A,k2_finseq_1(C))) ) => v5_valued_0(B) ) ) ) ) )).
fof(t139_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B)))) = k5_sheffer1(A,C,k5_sheffer1(A,E,B)) ) ) ) ) ) )).
fof(t139_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( A = k1_tsep_1(A,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r2_funct_2(u1_struct_0(C),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)),E) & r2_funct_2(u1_struct_0(D),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)),F) & r4_tsep_1(A,C,D) ) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),A,B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) )).
fof(t139_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ( k4_xboolean(A,A) = k1_xboolean => A = k1_xboolean ) ) )).
fof(t139_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) ) ) )).
fof(t139_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k7_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(t139_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => k3_xboole_0(k2_xxreal_1(C,D),k2_xxreal_1(A,B)) = k2_xxreal_1(k4_xxreal_0(C,A),k3_xxreal_0(D,B)) ) ) ) ) )).
fof(t139_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k4_zf_lang(A,B)) = k2_tarski(A,B) ) ) )).
fof(t139_zfmisc_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) <=> ! [B] : ~ v1_xboole_0(k4_xboole_0(A,k1_tarski(B))) ) )).
fof(t139_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_rlvect_1(A,k2_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C)),k3_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C))) = D ) ) ) ) )).
fof(t13_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ( r2_tarski(C,k2_abcmiz_0(A,B)) <=> r2_tarski(B,k3_abcmiz_0(A,C)) ) ) ) ) )).
fof(t13_abcmiz_1,axiom,( ! [A] : ! [B] : k1_abcmiz_1(k3_xboole_0(k1_abcmiz_1(A),k1_abcmiz_1(B))) = k3_xboole_0(k1_abcmiz_1(A),k1_abcmiz_1(B)) )).
fof(t13_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ( k1_xfamily(k1_funct_1(B,k1_xboole_0)) = k9_abcmiz_1 => m1_abcmiz_1(B,A,k12_abcmiz_1(A)) ) & ( k1_xfamily(k1_funct_1(B,k1_xboole_0)) = k10_abcmiz_1 => m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) ) ) ) )).
fof(t13_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,B,C) & r2_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t13_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_2(B,k4_finseq_2(4,A),k4_finseq_2(4,k4_finseq_2(4,A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r2_tarski(C,k2_finseq_1(4)) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ~ ( D = k1_funct_1(k1_funct_1(B,C),1) & E = k1_funct_1(k1_funct_1(B,C),2) & F = k1_funct_1(k1_funct_1(B,C),3) & G = k1_funct_1(k1_funct_1(B,C),4) ) ) ) ) ) ) ) ) ) )).
fof(t13_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_aff_1(A,B,C,D) ) ) ) ) ) )).
fof(t13_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v8_aff_2(A) => v12_aff_2(A) ) ) )).
fof(t13_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_aff_1(B,A) => k1_aff_4(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(t13_afinsq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => k1_ordinal4(k5_relat_1(B,A),k2_afinsq_2(B,A)) = B ) ) )).
fof(t13_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_4(B,A) & v1_aff_4(C,A) ) => ( k6_afproj(A,B) = k6_afproj(A,C) <=> r1_aff_4(A,B,C) ) ) ) ) ) )).
fof(t13_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B != C & ~ r1_afvect0(A,B,C) ) ) ) )).
fof(t13_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r5_alg_1(A,B) => r5_alg_1(B,A) ) ) ) )).
fof(t13_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ( u1_struct_0(A) != k1_tarski(k4_struct_0(A)) => ! [B] : ( v7_ordinal1(B) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k1_algseq_1(A,C) = B ) ) ) ) )).
fof(t13_algspec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(B,k6_partfun1(A)) => r6_pboole(A,k1_algspec1(A,B),k6_partfun1(A)) ) ) )).
fof(t13_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v21_algstr_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v5_algstr_1(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k6_algstr_0(A,k9_algstr_0(A,B),B) = k5_struct_0(A) & k6_algstr_0(A,B,k9_algstr_0(A,B)) = k5_struct_0(A) ) ) ) )).
fof(t13_algstr_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v1_group_6(C,A,B) & v1_group_6(D,A,B) ) => ( v2_algstr_4(a_4_0_algstr_4(A,B,C,D),A) & m1_subset_1(a_4_0_algstr_4(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) ) )).
fof(t13_altcat_1,axiom,( ! [A] : r8_pboole(k2_zfmisc_1(k1_tarski(k4_relat_1(A)),k1_tarski(k4_relat_1(A))),k6_altcat_1(k1_tarski(k4_relat_1(A)),k1_tarski(k4_relat_1(A))),k18_funcop_1(k4_relat_1(A),k4_relat_1(A),k4_relat_1(A))) )).
fof(t13_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & ~ ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => k1_binop_1(k4_altcat_1(u1_struct_0(A),k2_altcat_2(A),k3_altcat_2(A),B,C,D),F,E) = k5_cat_1(A,B,C,D,E,F) ) ) ) ) ) ) ) )).
fof(t13_altcat_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_altcat_1(A))) => ( k1_altcat_1(k7_altcat_1(A),B,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_altcat_1(k7_altcat_1(A),B,C)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( E = D => ( v4_altcat_3(D,k7_altcat_1(A),B,C) <=> v2_funct_1(E) ) ) ) ) ) ) ) ) )).
fof(t13_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v16_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k8_functor0(A,B,C,D,D,k8_altcat_1(A,D)) = k8_altcat_1(B,k3_functor0(A,B,C,D)) ) ) ) ) )).
fof(t13_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k6_ami_2(A,B),C) = k1_funct_1(A,C) ) ) ) )).
fof(t13_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( k4_struct_0(k1_ami_3) != k10_ami_3(A) & k4_struct_0(k1_ami_3) != A ) ) )).
fof(t13_ami_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( k5_compos_0(u1_compos_1(k1_ami_3),A) = 6 & ! [B] : ( v7_ordinal1(B) => A != k7_ami_3(B) ) ) ) )).
fof(t13_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3),k5_compos_0(u1_compos_1(k1_ami_3),k8_ami_3(B,A)))),1) = k4_ordinal1 ) ) )).
fof(t13_ami_wstd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v2_ami_wstd(C,B) & l1_extpro_1(C,B) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k2_xcmplx_0(k3_ami_wstd(B,C,D),A) = k3_ami_wstd(B,C,k4_ami_wstd(B,C,D,A)) ) ) ) ) )).
fof(t13_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ~ ( ~ v1_xboole_0(k2_amistd_1(A,B,C)) & v4_amistd_1(C,A,B) ) ) ) ) )).
fof(t13_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_extpro_1(C,A,B) => v1_xboole_0(k5_amistd_4(A,B,C)) ) ) ) ) )).
fof(t13_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & v5_amistd_5(B,A) & v6_amistd_5(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & ~ v1_xboole_0(D) & v1_finset_1(D) & v4_extpro_1(D,A,B,C) & v5_extpro_1(D,A,B,C) ) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(D)) => ! [E] : ( v7_ordinal1(E) => k6_memstr_0(A,B,k7_extpro_1(A,B,C,D)) = k6_memstr_0(A,B,k7_extpro_1(A,B,k6_compos_1(B,C,E),k9_memstr_0(A,B,D,E))) ) ) ) ) ) ) )).
fof(t13_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r1_analmetr(A,D,E) & B != k4_struct_0(A) & ! [F] : ( v1_xreal_0(F) => ~ r2_analmetr(A,k5_algstr_0(A,C,k1_rlvect_1(A,B,F)),B,D,E) ) ) ) ) ) ) ) )).
fof(t13_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analoaf(A,B,C,C,D) => r1_analoaf(A,B,C,B,D) ) ) ) ) ) )).
fof(t13_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_analmetr(A,D,E) & k2_analort(A,D,E,B) = k2_analort(A,D,E,C) ) => B = C ) ) ) ) ) ) )).
fof(t13_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_rlvect_1(A,B,C) = k4_struct_0(A) => r1_anproj_1(A,B,C) ) ) ) ) )).
fof(t13_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ( A = k8_domain_1(A,E,F,G) & k3_funct_2(A,k1_numbers,B,E) = 1 & ! [H] : ( r2_tarski(H,A) => ( H = E | k1_funct_1(B,H) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,C,F) = 1 & ! [H] : ( r2_tarski(H,A) => ( H = F | k1_funct_1(C,H) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,D,G) = 1 & ! [H] : ( r2_tarski(H,A) => ( H = G | k1_funct_1(D,H) = k5_numbers ) ) ) => ( E = F | E = G | F = G | ! [H] : ( m2_funct_2(H,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [I] : ( v1_xreal_0(I) & ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & H = k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(I,B)),k1_funct_1(k7_funcsdom(A),k4_tarski(J,C))),k1_funct_1(k7_funcsdom(A),k4_tarski(K,D))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( r2_hidden(B,A) & r2_hidden(C,A) & r2_hidden(D,A) & r2_hidden(E,A) & r2_hidden(F,A) & r2_hidden(G,A) ) => r1_tarski(k4_enumset1(B,C,D,E,F,G),A) ) )).
fof(t13_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( B = k10_subset_1(k1_funct_1(u7_aofa_a00(A),3),u4_struct_0(A)) => ( B = k1_funct_1(u7_aofa_a00(A),3) & k1_msualg_1(A,B) = k2_finseq_4(u1_struct_0(A),u8_aofa_a00(A),u8_aofa_a00(A)) & k2_msualg_1(A,B) = u8_aofa_a00(A) ) ) ) ) )).
fof(t13_aofa_i00,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_power(k2_power(A,B),C) = k2_power(A,k3_xcmplx_0(B,C)) ) ) ) )).
fof(t13_aofa_l00,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,B) => ! [D] : m1_subset_1(k1_funct_1(C,D),k1_zfmisc_1(k1_funct_1(B,D))) ) ) )).
fof(t13_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( r3_armstrng(A,k6_armstrng(A,B,C),k6_armstrng(A,D,E)) <=> ( r1_tarski(B,D) & r1_tarski(E,C) ) ) ) ) ) ) )).
fof(t13_arrow,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_subset_1(B,k2_arrow(A),k3_arrow(A)) => ! [C] : ( m1_subset_1(C,k2_arrow(A)) => ( ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ~ ( ~ r1_arrow(B,E,D) & r1_arrow(C,E,D) ) ) ) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( ~ ( ~ r1_arrow(B,E,D) & r1_arrow(C,E,D) ) & ~ ( ~ r1_arrow(C,E,D) & r1_arrow(B,E,D) ) ) ) ) ) ) ) ) )).
fof(t13_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => k2_arytm_0(A,k2_arytm_0(B,C)) = k2_arytm_0(k2_arytm_0(A,B),C) ) ) ) )).
fof(t13_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(C,B) => k7_arytm_2(A,k1_arytm_1(B,C)) = k1_arytm_1(k7_arytm_2(A,B),C) ) ) ) ) )).
fof(t13_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => k8_arytm_2(A,k7_arytm_2(B,C)) = k7_arytm_2(k8_arytm_2(A,B),k8_arytm_2(A,C)) ) ) ) )).
fof(t13_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( B != k1_xboole_0 => r2_arytm_3(k6_ordinal3(k9_ordinal3(A,B),k2_arytm_3(A,B)),A) ) ) ) )).
fof(t13_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v2_xxreal_0(B) & v1_xreal_0(B) ) => k6_asympt_0(A) = k6_asympt_0(k2_asympt_0(A,B)) ) ) )).
fof(t13_asympt_1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & r2_funct_2(k4_ordinal1,k1_numbers,A,k1_asympt_1(2,1,1)) & r2_tarski(k1_asympt_1(2,1,k5_numbers),k8_asympt_0(A)) ) )).
fof(t13_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( ( v1_msualg_3(D) & v2_msualg_3(D,A,B,C) ) => r6_pboole(A,k4_msualg_3(A,C,B,k4_msualg_3(A,B,C,D)),D) ) ) ) ) )).
fof(t13_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r1_tarski(k4_autgroup(A),k1_autgroup(A)) ) )).
fof(t13_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => k3_bagorder(A,k11_pre_poly(A,B,C)) = k2_xcmplx_0(k3_bagorder(A,B),k3_bagorder(A,C)) ) ) ) )).
fof(t13_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( C != D => k4_card_1(k1_ballot_1(C,A,D,B)) = k4_newton(A,k2_xcmplx_0(A,B)) ) ) ) )).
fof(t13_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_bcialg_1(B,k1_bcialg_1(B,C,D),D) = k1_bcialg_1(B,C,D) ) ) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t13_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_bcialg_2(A,k4_struct_0(A),B,k2_xcmplx_0(C,D)) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,C),k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D))) ) ) ) ) )).
fof(t13_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v19_bcialg_1(A) => ( v4_bcialg_3(A) & v5_bcialg_3(A) ) ) ) )).
fof(t13_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_bcialg_1(A,C,k1_bcialg_4(A,B,k1_bcialg_1(A,C,B))) ) ) ) )).
fof(t13_bcialg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( m1_bcialg_5(A,B,C,D,E) <=> m1_bcialg_5(A,D,E,B,C) ) ) ) ) ) ) )).
fof(t13_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v1_int_1(C) => r2_tarski(k2_bcialg_6(A,B,C),k5_bcialg_1(A)) ) ) ) )).
fof(t13_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( v14_bcialg_1(A) => v12_bcialg_1(B,A) ) ) ) )).
fof(t13_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_bhsp_1(A,k5_algstr_0(A,B,C),k5_algstr_0(A,D,E)) = k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_bhsp_1(A,B,D),k2_bhsp_1(A,B,E)),k2_bhsp_1(A,C,D)),k2_bhsp_1(A,C,E)) ) ) ) ) ) )).
fof(t13_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(B,A) & v1_bhsp_2(C,A) ) => k1_bhsp_2(A,k1_normsp_1(A,B,C)) = k3_rlvect_1(A,k1_bhsp_2(A,B),k1_bhsp_2(A,C)) ) ) ) ) )).
fof(t13_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_bhsp_3(A,B,C) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),B,F),k8_nat_1(u1_struct_0(A),C,F)))) ) ) ) ) ) ) ) ) )).
fof(t13_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_4(B,A) => ! [C] : ( v7_ordinal1(C) => v1_bhsp_4(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t13_bhsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A),u1_struct_0(A)) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & m2_bhsp_5(C,A) ) => ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,C) => k1_funct_1(D,E) = k1_square_1(k2_bhsp_1(A,B,E)) ) ) ) => r1_xxreal_0(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,C,D),k1_square_1(k3_bhsp_1(A,B))) ) ) ) ) ) ) ) )).
fof(t13_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => r2_funct_2(u1_struct_0(C),u1_struct_0(A),k7_bilinear(A,B,C,k2_bilinear(A,B,C,D,E),F),k3_hahnban1(A,C,k7_bilinear(A,B,C,D,F),k7_bilinear(A,B,C,E,F))) ) ) ) ) ) ) )).
fof(t13_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => k6_binarith(A,k3_binarith(A,B)) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k6_binarith(A,B)),k5_series_1(2,A)),1) ) ) )).
fof(t13_binari_3,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ( k8_binarith(1,k10_binarith(k5_margrel1,A),k10_binarith(k5_margrel1,B)) = k7_margrel1 <=> ( A = k7_margrel1 & B = k7_margrel1 ) ) ) ) )).
fof(t13_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(B,C),k6_xcmplx_0(k5_series_1(2,k7_nat_d(A,1)),1)) => k7_partfun1(k5_margrel1,k4_binarith(A,k1_binari_3(A,B),k1_binari_3(A,C)),A) = k6_margrel1 ) ) ) ) )).
fof(t13_binarith,axiom,( k2_binarith(k7_margrel1,k6_margrel1) = k7_margrel1 )).
fof(t13_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_binom(A,B,1) = B ) ) )).
fof(t13_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(C,A) => ( r6_binop_1(A,C,B) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,E),F) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,F),k2_binop_1(A,A,A,C,E,F)) ) ) ) ) ) ) ) ) )).
fof(t13_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k1_funct_1(k1_bintree2(A,B),k5_euclid(B)) = 1 ) ) )).
fof(t13_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_boolealg(A,B,C) & r3_lattices(A,C,D) ) => r3_boolealg(A,B,D) ) ) ) ) ) )).
fof(t13_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ( v3_pre_topc(C,k2_borsuk_1(A,B)) => C = k5_setfam_1(u1_struct_0(k2_borsuk_1(A,B)),k7_borsuk_1(A,B,C)) ) ) ) ) )).
fof(t13_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ~ ( v5_pre_topc(E,k5_topmetr,A) & B = k1_funct_1(E,k5_numbers) & C = k1_funct_1(E,1) & v5_pre_topc(F,k5_topmetr,A) & C = k1_funct_1(F,k5_numbers) & D = k1_funct_1(F,1) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ~ ( v5_pre_topc(G,k5_topmetr,A) & B = k1_funct_1(G,k5_numbers) & D = k1_funct_1(G,1) & r1_tarski(k2_relset_1(u1_struct_0(A),G),k4_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),E),k2_relset_1(u1_struct_0(A),F))) ) ) ) ) ) ) ) ) ) )).
fof(t13_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_borsuk_3(k2_borsuk_1(k1_pre_topc(A,k6_domain_1(u1_struct_0(A),C)),B),B) ) ) ) )).
fof(t13_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = k2_rcomp_1(B,C) => ( r1_xxreal_0(C,B) | k2_pre_topc(k5_topmetr,A) = k1_rcomp_1(B,C) ) ) ) ) ) )).
fof(t13_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_metric_1)) => ( r2_tarski(B,k2_pre_topc(k3_topmetr,A)) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_xboole_0(k8_metric_1(k7_metric_1,B,C),A) ) ) ) ) ) )).
fof(t13_borsuk_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( A = a_0_6_borsuk_6 & B = a_0_7_borsuk_6 ) => k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k2_jgraph_2(1,k5_numbers,k7_xcmplx_0(1,2),k4_xcmplx_0(k7_xcmplx_0(1,2))),A) = B ) ) ) )).
fof(t13_brouwer,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_brouwer(2,B,A)),u1_struct_0(k2_brouwer(2,B,A))) & v5_pre_topc(C,k2_brouwer(2,B,A),k2_brouwer(2,B,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,B,A)),u1_struct_0(k2_brouwer(2,B,A))))) ) => ( ~ v2_abian(C) => v5_pre_topc(k5_brouwer(2,A,B,C),k2_brouwer(2,B,A),k7_toprealb(2,B,A)) ) ) ) ) )).
fof(t13_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_brouwer(A,B,C)))) => ( v3_pre_topc(D,k2_brouwer(A,B,C)) => ( v1_xboole_0(D) | ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ~ ( E = D & v1_xboole_0(k1_tops_1(k15_euclid(A),E)) ) ) ) ) ) ) ) ) ) )).
fof(t13_bspace,axiom,( ! [A] : ! [B] : ! [C] : ( k3_bspace(A,C) = k3_bspace(B,C) <=> ( r2_tarski(C,A) <=> r2_tarski(C,B) ) ) )).
fof(t13_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k1_bvfunc_1(A,k7_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E)),k7_bvfunc_2(A,k7_bvfunc_2(A,k1_bvfunc_1(A,B),C,E),C,D)) ) ) ) ) ) )).
fof(t13_bvfunc14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ~ ( A != B & C != A & k1_funct_1(k9_funct_4(A,B,C,D,E,F),A) != D ) )).
fof(t13_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k6_bvfunc_1(A,B,k14_margrel1(A,B)),k12_bvfunc_1(A)) ) ) )).
fof(t13_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k5_bvfunc_1(A,B,C)),k2_bvfunc_1(A,k1_bvfunc_1(A,B),k1_bvfunc_1(A,C))) ) ) ) )).
fof(t13_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k5_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k6_bvfunc_2(A,D,B,E)),k6_bvfunc_2(A,k5_bvfunc_1(A,C,D),B,E)) ) ) ) ) ) )).
fof(t13_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k2_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E)),k7_bvfunc_2(A,k2_bvfunc_1(A,C,D),B,E)) ) ) ) ) ) )).
fof(t13_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,D,E),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,E)),k12_bvfunc_1(A)) ) ) ) ) ) ) )).
fof(t13_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k9_bvfunc_1(A,C,D),k9_bvfunc_1(A,B,D))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t13_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,D)),k5_bvfunc_1(A,k2_bvfunc_1(A,B,C),D)),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t13_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_c0sp1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_c0sp1(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( E = C & F = D ) => ( D = k1_rlvect_1(k7_c0sp1(A),C,B) <=> ! [G] : ( m1_subset_1(G,A) => k3_funct_2(A,k1_numbers,F,G) = k3_xcmplx_0(B,k3_funct_2(A,k1_numbers,E,G)) ) ) ) ) ) ) ) ) ) )).
fof(t13_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => r1_xxreal_0(k5_numbers,k2_normsp_0(k5_c0sp2(A),B)) ) ) )).
fof(t13_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => r2_calcul_1(A,B,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),B),C),k12_finseq_1(k3_cqc_lang(A),k2_calcul_1(A,B)))) ) ) ) ) )).
fof(t13_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r2_tarski(B,k1_relset_1(k4_ordinal1,k14_finseq_1(k2_calcul_2(k3_finseq_1(D),k3_finseq_1(C))))) => k1_funct_1(k14_finseq_1(k2_calcul_2(k3_finseq_1(D),k3_finseq_1(C))),B) = k1_nat_1(k3_finseq_1(D),B) ) ) ) ) ) )).
fof(t13_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ! [D] : ( ( r1_tarski(C,k2_cantor_1(A,B)) & r1_tarski(D,k2_cantor_1(A,B)) ) => r1_tarski(k3_setfam_1(C,D),k2_cantor_1(A,B)) ) ) )).
fof(t13_card_1,axiom,( ! [A] : ~ r2_wellord2(A,k1_zfmisc_1(A)) )).
fof(t13_card_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => k1_card_1(k10_ordinal2(A,B)) = k1_card_2(k1_card_1(A),k1_card_1(B)) ) ) )).
fof(t13_card_3,axiom,( ! [A] : k5_card_3(A,k1_xboole_0) = k1_xboole_0 )).
fof(t13_card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v4_card_3(A) => v4_card_3(k3_finseq_2(A)) ) ) )).
fof(t13_card_5,axiom,( ! [A] : ! [B] : ( v1_card_1(B) => ( A != k1_xboole_0 => r1_ordinal1(k1_card_1(a_2_0_card_5(A,B)),k2_card_2(B,k3_card_2(k1_card_1(A),B))) ) ) )).
fof(t13_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_card_fil(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r2_tarski(D,k2_card_fil(A,C,B)) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) & r2_tarski(E,C) & r1_tarski(k9_subset_1(A,E,B),D) ) ) ) ) ) ) )).
fof(t13_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( ~ r2_hidden(C,A) => k4_card_1(k1_card_fin(A,B,D,E)) = k1_card_1(a_5_0_card_fin(A,B,C,D,E)) ) ) ) )).
fof(t13_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ( v3_card_lar(B,A) & r1_tarski(B,C) ) => v3_card_lar(C,A) ) ) ) ) )).
fof(t13_cardfin2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( v1_int_1(B) => k3_xcmplx_0(B,k7_afinsq_2(A)) = k2_xcmplx_0(k7_afinsq_2(k5_relat_1(k24_valued_1(A,B),k7_nat_d(k1_afinsq_1(A),1))),k3_xcmplx_0(B,k1_funct_1(A,k7_nat_d(k1_afinsq_1(A),1)))) ) ) )).
fof(t13_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k3_cat_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_cat_1(A,B))) => k2_cat_1(k3_cat_1(A,B),C,D) != k1_xboole_0 ) ) )).
fof(t13_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => m2_cat_1(k10_cat_1(B),B,A) ) ) )).
fof(t13_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => r2_funct_2(A,u4_struct_0(B),k5_cat_3(B,A,k4_cat_3(B,A,C)),C) ) ) )).
fof(t13_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_cat_1(A,B,k1_cat_4(A)) != k1_xboole_0 ) ) )).
fof(t13_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( k3_graph_1(A,B) = k1_cat_5(A,B) & k4_graph_1(A,B) = k2_cat_5(A,B) ) ) ) )).
fof(t13_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v7_cat_6(A) <=> v7_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) )).
fof(t13_cat_7,axiom,( ! [A] : ( ( v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v2_struct_0(B) & v10_cat_6(B) & l1_cat_6(B) ) => r2_cat_6(A,B) ) ) )).
fof(t13_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_int_1(k1_catalan1(A)) ) )).
fof(t13_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( ( v1_catalan2(C) & k3_xcmplx_0(2,k7_afinsq_2(k5_relat_1(C,A))) = A & A = k1_nat_1(B,1) ) => k5_relat_1(C,A) = k1_catalan2(k5_relat_1(C,B),k8_funcop_1(k4_ordinal1,1,1)) ) ) ) ) )).
fof(t13_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( k6_catalg_1(A,C) = k6_catalg_1(B,D) => ( A = B & C = D ) ) )).
fof(t13_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_cayldick(k4_cayldick(A)))) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & B = k6_afinsq_1(k6_afinsq_1(C,D),k6_afinsq_1(E,F)) ) ) ) ) ) ) )).
fof(t13_cayley,axiom,( ! [A] : ! [B] : ( r3_tarski(A,B) => r2_group_6(k2_cayley(A),k2_cayley(B)) ) )).
fof(t13_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k2_numbers,B,A)) => k1_funct_1(k6_cc0sp1(A),B) = k2_seq_4(k5_cc0sp1(A,B)) ) ) ) )).
fof(t13_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k4_struct_0(k3_cc0sp2(A)) = k1_cc0sp2(A,k5_complex1) ) )).
fof(t13_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & v5_valued_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r1_tarski(k2_relset_1(k2_numbers,A),k1_relset_1(k2_numbers,B)) => r2_relset_1(k4_ordinal1,k1_numbers,k8_comseq_3(k9_comseq_3(C,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,B))),k8_comseq_3(k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,k9_comseq_3(C,A),B))) ) ) ) ) )).
fof(t13_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( v1_xreal_0(C) => ( A = a_2_1_cfdiff_1(B,C) => v6_cfdiff_1(A) ) ) ) ) )).
fof(t13_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k1_funct_1(k3_cfuncdom(A),k4_tarski(C,k1_funct_1(k3_cfuncdom(A),k4_tarski(D,B)))) = k1_funct_1(k3_cfuncdom(A),k4_tarski(k3_xcmplx_0(C,D),B)) ) ) ) ) )).
fof(t13_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k2_valued_1(A,k2_numbers,k2_numbers,k2_valued_1(A,k2_numbers,k2_numbers,B,C),D),k2_valued_1(A,k2_numbers,k2_numbers,B,k2_valued_1(A,k2_numbers,k2_numbers,C,D))) ) ) ) ) )).
fof(t13_cgames_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v2_cgames_1(B) => ( r2_tarski(k9_cgames_1(B),A) <=> ? [C] : ( v3_ordinal1(C) & r2_tarski(C,A) & r2_tarski(B,k2_cgames_1(C)) ) ) ) ) )).
fof(t13_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & r2_hidden(B,A) & r2_hidden(C,A) & ~ r1_xxreal_0(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,A) & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(t13_chord,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_abian(A) ) => ~ ( r1_xxreal_0(A,7) & A != k5_numbers & A != 2 & A != 4 & A != 6 ) ) )).
fof(t13_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(A,D))) => ( H = k5_relat_1(G,u1_struct_0(A)) => ! [I] : ( v7_ordinal1(I) => k5_relat_1(k5_facirc_1(C,F,G,I),u1_struct_0(A)) = k5_facirc_1(A,D,H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k10_xtuple_0(k7_finseq_4(A,B,C,D)) = k2_enumset1(A,B,C,D) )).
fof(t13_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( r1_circcomb(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_msafree2(k2_circcomb(A,B))) => r2_tarski(C,k2_msafree2(A)) ) ) ) ) ) )).
fof(t13_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k2_circled1(A,B) = B ) ) )).
fof(t13_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m3_msaterm(D,A,B) => ! [E] : ( m1_subset_1(E,u4_struct_0(k1_circtrm1(A,B,D))) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A)) => k3_relat_1(k1_msualg_1(k1_circtrm1(A,B,D),E),k4_circtrm1(A,B,D,C)) = k3_relat_1(k1_msualg_1(A,F),u3_msualg_1(A,C)) ) ) ) ) ) ) ) )).
fof(t13_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => ~ ( r2_tarski(C,k7_subset_1(u1_struct_0(A),k3_msafree2(A),k1_msafree2(A))) & k4_card_1(D) = k4_circuit1(A,B,C) & ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => k1_funct_1(D,k1_xboole_0) != k4_tarski(E,u1_struct_0(A)) ) ) ) ) ) ) )).
fof(t13_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_msafree2(D,A,B) => ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_xxreal_0(k6_circuit1(A,B,F),E) => k1_funct_1(C,F) = k5_circuit2(A,B,F,D) ) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_xxreal_0(k6_circuit1(A,B,F),k1_nat_1(E,1)) => k1_funct_1(k6_circuit2(A,B,C),F) = k5_circuit2(A,B,F,D) ) ) ) ) ) ) ) ) )).
fof(t13_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( v1_xreal_0(D) => ( ( v1_pdiff_7(C,A) & B = k7_funcop_1(C,D) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ! [F] : ( v1_xreal_0(F) => ~ ( r2_tarski(E,C) & ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(G,k5_numbers) & ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ( r2_tarski(H,C) => ( r1_xxreal_0(G,k12_euclid(k8_euclid(A,H,E))) | ! [I] : ( m2_finseq_2(I,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k9_complex1(k5_real_1(k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_7(A,B,H),I),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_7(A,B,E),I))),k3_xcmplx_0(F,k12_euclid(I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_classes1,axiom,( ! [A] : ! [B] : ! [C] : ( v3_ordinal1(C) => ( v4_ordinal1(C) => ( C = k1_xboole_0 | ( r2_tarski(B,k3_classes1(A,C)) <=> ? [D] : ( v3_ordinal1(D) & r2_tarski(D,C) & r2_tarski(B,k3_classes1(A,D)) ) ) ) ) ) )).
fof(t13_classes2,axiom,( ! [A] : ! [B] : ( ( v2_classes1(B) & r2_tarski(A,k1_card_1(B)) ) => r2_tarski(A,B) ) )).
fof(t13_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => v6_clvect_1(k5_clopban1(A,B),k3_clopban1(u1_struct_0(A),B)) ) ) )).
fof(t13_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_clopban2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_clopban2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_clopban2(A))) => ( k1_algstr_0(k7_clopban2(A),B,C) = k1_algstr_0(k7_clopban2(A),C,B) & k1_algstr_0(k7_clopban2(A),k1_algstr_0(k7_clopban2(A),B,C),D) = k1_algstr_0(k7_clopban2(A),B,k1_algstr_0(k7_clopban2(A),C,D)) & k1_algstr_0(k7_clopban2(A),B,k4_struct_0(k7_clopban2(A))) = B & v10_algstr_0(B,k7_clopban2(A)) & k6_algstr_0(k7_clopban2(A),k6_algstr_0(k7_clopban2(A),B,C),D) = k6_algstr_0(k7_clopban2(A),B,k6_algstr_0(k7_clopban2(A),C,D)) & k6_algstr_0(k7_clopban2(A),B,k5_struct_0(k7_clopban2(A))) = B & k6_algstr_0(k7_clopban2(A),k5_struct_0(k7_clopban2(A)),B) = B & k6_algstr_0(k7_clopban2(A),B,k1_algstr_0(k7_clopban2(A),C,D)) = k1_algstr_0(k7_clopban2(A),k6_algstr_0(k7_clopban2(A),B,C),k6_algstr_0(k7_clopban2(A),B,D)) & k6_algstr_0(k7_clopban2(A),k1_algstr_0(k7_clopban2(A),C,D),B) = k1_algstr_0(k7_clopban2(A),k6_algstr_0(k7_clopban2(A),C,B),k6_algstr_0(k7_clopban2(A),D,B)) ) ) ) ) ) )).
fof(t13_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k4_struct_0(A) ) => v2_clopban3(B,A) ) ) ) )).
fof(t13_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( k1_normsp_0(A,k1_clopban4(A,B),k1_nat_1(C,1)) = k6_algstr_0(A,k1_clvect_1(A,B,k7_xcmplx_0(k6_complex1,k1_nat_1(C,1))),k1_normsp_0(A,k1_clopban4(A,B),C)) & k1_normsp_0(A,k1_clopban4(A,B),k5_numbers) = k5_struct_0(A) & r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,k1_clopban4(A,B),C)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),C)) ) ) ) ) )).
fof(t13_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v2_closure1(k2_msualg_3(A,k5_mssubfam(A,B)),A,B) & m2_pboole(k2_msualg_3(A,k5_mssubfam(A,B)),A,k5_mssubfam(A,B),k5_mssubfam(A,B)) ) ) )).
fof(t13_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) ) => k9_xtuple_0(k3_closure2(C)) = A ) ) )).
fof(t13_closure3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ! [D] : ( r2_tarski(D,C) => m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_closure2(A,B))) => ( ( E = a_3_0_closure3(A,B,C) & D = k3_tarski(C) ) => r6_pboole(A,k2_closure3(A,B,E),k2_closure3(A,B,D)) ) ) ) ) ) )).
fof(t13_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(E,k4_finseq_1(C)) & F = k1_funct_1(D,E) ) => k1_funct_1(C,E) = k1_clvect_1(A,F,B) ) ) ) ) => k4_rlvect_1(A,C) = k1_clvect_1(A,k4_rlvect_1(A,D),B) ) ) ) ) ) )).
fof(t13_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(B,A) & v1_clvect_2(C,A) ) => k1_clvect_2(A,k14_csspace(A,B,C)) = k3_rlvect_1(A,k1_clvect_2(A,B),k1_clvect_2(A,C)) ) ) ) ) )).
fof(t13_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_3(B,A) => ! [C] : ( v7_ordinal1(C) => v1_clvect_3(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t13_coh_sp,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => k2_coh_sp(k3_tarski(A),k1_coh_sp(A)) = A ) )).
fof(t13_cohsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ~ ( v1_cohsp_1(A) & r1_tarski(B,k3_tarski(A)) & v1_finset_1(B) & ! [C] : ~ ( r2_tarski(C,A) & r1_tarski(B,C) ) ) ) )).
fof(t13_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B = C => k1_collsp(A,B,C) = u1_struct_0(A) ) ) ) ) )).
fof(t13_combgras,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) => ( r1_xxreal_0(A,k5_numbers) | v9_incproj(k1_combgras(A,B)) ) ) ) ) )).
fof(t13_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( r1_tarski(k2_relset_1(k9_setfam_1(u1_struct_0(A)),C),B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v2_prob_1(D) & ( v3_finset_1(B) => v2_relat_1(D) ) & ( v1_tops_2(B,A) => v4_compl_sp(D,A) ) & ( v2_tops_2(B,A) => v5_compl_sp(D,A) ) & ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),D,E) = k1_setfam_1(a_3_1_compl_sp(A,C,E)) ) ) ) ) ) ) ) )).
fof(t13_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k2_xcmplx_0(k3_complex1(A),k3_xcmplx_0(k4_complex1(A),k7_complex1)) = A ) )).
fof(t13_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A != k5_numbers => ( ( ~ r1_xxreal_0(k28_sin_cos,k1_comptrig(A)) => k1_comptrig(k4_xcmplx_0(A)) = k2_xcmplx_0(k1_comptrig(A),k28_sin_cos) ) & ( r1_xxreal_0(k28_sin_cos,k1_comptrig(A)) => k1_comptrig(k4_xcmplx_0(A)) = k6_xcmplx_0(k1_comptrig(A),k28_sin_cos) ) ) ) ) )).
fof(t13_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => B = k3_rlvect_1(k1_complfld,k5_algstr_0(k1_complfld,B,A),A) ) ) )).
fof(t13_complsp2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k2_numbers) => k9_matrix_5(k9_seq_4(B),A) = k4_xcmplx_0(k9_matrix_5(B,A)) ) ) )).
fof(t13_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => ! [D] : ( ( v6_compos_0(D,u1_compos_1(A)) & m1_subset_1(D,u1_compos_1(A)) ) => k4_card_1(k2_compos_2(A,k3_compos_2(A,B,C),D)) = 4 ) ) ) ) )).
fof(t13_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r2_hidden(A,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos))) & r1_xxreal_0(k5_numbers,k1_funct_1(k18_sin_cos,A)) ) ) )).
fof(t13_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v8_pre_topc(A) & v1_compts_1(A) ) => v10_pre_topc(A) ) ) )).
fof(t13_comput_1,axiom,( ! [A] : ( ( v4_funct_1(A) & v1_comput_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,A) => ( r1_tarski(k9_xtuple_0(B),k9_xtuple_0(k3_tarski(A))) & ! [C] : ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(k3_tarski(A),C) = k1_funct_1(B,C) ) ) ) ) ) )).
fof(t13_comseq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C),A),k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,k25_valued_1(k4_ordinal1,k2_numbers,C,A))) ) ) ) )).
fof(t13_comseq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( r1_xxreal_0(k9_complex1(k3_complex1(A)),k9_complex1(A)) & r1_xxreal_0(k9_complex1(k4_complex1(A)),k9_complex1(A)) ) ) )).
fof(t13_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_waybel_1(C,A,B) => ( v2_conlat_1(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( C = k1_waybel_1(A,B,D,E) => ( r2_funct_2(u1_struct_0(A),u1_struct_0(B),D,k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),D,E),D)) & r2_funct_2(u1_struct_0(B),u1_struct_0(A),E,k1_partfun1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),E,D),E)) ) ) ) ) ) ) ) ) )).
fof(t13_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r1_conlat_1(A,B,C) <=> r3_lattices(k11_conlat_1(A),k3_funct_2(u1_struct_0(A),u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A),B),k3_funct_2(u4_struct_0(A),u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A),C)) ) ) ) ) )).
fof(t13_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( ( v1_conmetr(A) & v1_conaffm(A) ) => v2_conmetr(A) ) ) )).
fof(t13_conmetr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v3_conmetr1(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) <=> v6_conmetr(A) ) ) )).
fof(t13_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(B,A) & v4_pre_topc(B,A) & B != k1_struct_0(A) & B != k2_struct_0(A) ) ) ) ) )).
fof(t13_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_connsp_2(A,B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( m1_connsp_2(C,A,B) & r3_connsp_1(A,C,D) & r2_tarski(B,D) ) => m1_connsp_2(D,A,B) ) ) ) ) ) ) )).
fof(t13_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(B,A) & v2_connsp_1(C,A) & r1_tarski(B,C) ) => ( B = k1_xboole_0 | r1_tarski(C,k1_connsp_3(A,B)) ) ) ) ) ) )).
fof(t13_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(k5_numbers,D) & v1_convex1(B,A) ) => k7_rusub_4(A,k1_convex1(A,B,C),k1_convex1(A,B,D)) = k1_convex1(A,B,k2_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t13_convex2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_classes1(A,B) => ! [C] : ! [D] : ~ ( r2_tarski(C,k9_xtuple_0(A)) & r2_tarski(D,k9_xtuple_0(A)) & C != D & ! [E] : ! [F] : ~ ( r2_tarski(E,k9_xtuple_0(B)) & r2_tarski(F,k9_xtuple_0(B)) & E != F & k1_funct_1(A,C) = k1_funct_1(B,E) & k1_funct_1(A,D) = k1_funct_1(B,F) ) ) ) ) ) )).
fof(t13_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m2_convex4(B,A,k1_subset_1(u1_struct_0(A))) => k4_convex4(A,B) = k4_struct_0(A) ) ) )).
fof(t13_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( m2_subset_1(k15_qc_lang1(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) <=> m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) ) ) ) ) )).
fof(t13_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => r2_tarski(k1_funct_1(C,D),k3_qc_lang1(A)) ) ) ) ) ) )).
fof(t13_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ( r2_tarski(k8_cqc_lang(A,C,D),k1_cqc_the1(A,B)) => ( r2_tarski(E,k24_qc_lang1(A,C)) | r2_tarski(k8_cqc_lang(A,C,k11_cqc_lang(A,E,D)),k1_cqc_the1(A,B)) ) ) ) ) ) ) ) )).
fof(t13_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => k13_cqc_lang(A,k3_qc_lang2(A,B,C),D) = k3_qc_lang2(A,k13_cqc_lang(A,B,D),k13_cqc_lang(A,C,D)) ) ) ) ) )).
fof(t13_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r2_cqc_the3(A,B,k4_cqc_the1(A)) ) ) )).
fof(t13_csspace,axiom,( m1_clvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace)),k5_csspace) )).
fof(t13_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v2_comseq_3(A) & k4_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)) = k5_numbers ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_complex1 ) ) ) )).
fof(t13_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( v1_csspace4(C,A,B) <=> v4_xxreal_2(k7_csspace4(A,B,C)) ) ) ) ) )).
fof(t13_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( v1_dblseq_1(A) => ( v1_dblseq_1(k26_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,A,B)) & k1_dblseq_1(k26_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,A,B)) = k3_xcmplx_0(B,k1_dblseq_1(A)) ) ) ) ) )).
fof(t13_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,A,k1_nat_1(B,1),k1_nat_1(C,1)) = k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),k1_nat_1(B,1),k1_nat_1(C,1)),k1_binop_1(k4_dblseq_2(A),B,k1_nat_1(C,1))),k1_binop_1(k4_dblseq_2(A),k1_nat_1(B,1),C)),k1_binop_1(k4_dblseq_2(A),B,C)) ) ) ) )).
fof(t13_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_decomp_1(A),k17_decomp_1(A)) = k6_decomp_1(A) ) )).
fof(t13_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k8_descip_1(A,B,k4_xcmplx_0(k3_finseq_1(B))) = B ) ) ) )).
fof(t13_dickson,axiom,( ! [A] : ( v1_relat_1(A) => ( v8_relat_2(A) => v8_relat_2(k3_dickson(A)) ) ) )).
fof(t13_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v3_funct_1(C) => ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,B),k1_nat_1(A,1)),D) = k5_numbers ) ) ) ) ) )).
fof(t13_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_numbers,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_numbers,k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_diff_2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,H,A),k26_valued_1(k1_numbers,k1_numbers,I,B)),C,D,E,F,G) = k2_xcmplx_0(k3_xcmplx_0(A,k1_diff_2(H,C,D,E,F,G)),k3_xcmplx_0(B,k1_diff_2(I,C,D,E,F,G))) ) ) ) ) ) ) ) ) ) )).
fof(t13_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,E,C),F),B),k2_xcmplx_0(A,1)),D) = k2_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(E,B),k2_xcmplx_0(A,1)),D)),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(F,B),k2_xcmplx_0(A,1)),D)) ) ) ) ) ) ) )).
fof(t13_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_tarski(k2_xcmplx_0(B,k7_xcmplx_0(A,2)),k1_relset_1(k1_numbers,k2_fdiff_9)) & r2_tarski(k6_xcmplx_0(B,k7_xcmplx_0(A,2)),k1_relset_1(k1_numbers,k2_fdiff_9)) ) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k2_fdiff_9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k17_sin_cos(k3_xcmplx_0(2,B))),k17_sin_cos(A)),k1_square_1(k6_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2,B)),k19_sin_cos(A))))) ) ) ) )).
fof(t13_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_dilworth(k7_domain_1(u1_struct_0(A),B,C),A) & m1_subset_1(k7_domain_1(u1_struct_0(A),B,C),k1_zfmisc_1(u1_struct_0(A))) ) => ( B = C | ( ~ r1_orders_2(A,B,C) & ~ r1_orders_2(A,C,B) ) ) ) ) ) ) )).
fof(t13_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_diraf(A,B,C,D) & C != D ) ) ) ) )).
fof(t13_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & v1_dirort(D) & l1_analmetr(D) ) => ( ( r1_analmetr(A,B,C) & D = k5_analort(A,B,C) ) => ( v5_dirort(D) & v4_dirort(D) & v3_dirort(D) & v2_dirort(D) ) ) ) ) ) ) )).
fof(t13_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_finseq_1(k4_card_1(A))) & ! [D] : ( m1_subset_1(D,A) => ~ ( k1_funct_1(k9_dist_1(A,B),C) = k2_dist_1(A,B,D) & D = k1_funct_1(k19_finseq_1(A),C) ) ) ) ) ) ) )).
fof(t13_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( r2_tarski(D,k9_xtuple_0(B)) => ( r2_tarski(D,k3_dist_2(k3_relat_1(B,C))) <=> r2_tarski(k1_funct_1(B,D),k3_dist_2(C)) ) ) ) ) ) )).
fof(t13_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) => ( A = k4_mcart_1(B,C,D,E,F) <=> ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,C) => ! [I] : ( m1_subset_1(I,D) => ! [J] : ( m1_subset_1(J,E) => ( F = k5_domain_1(B,C,D,E,G,H,I,J) => A = G ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_dtconstr,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,u1_struct_0(k5_dtconstr)) & v1_funct_1(A) & v3_trees_2(A) ) => ( r2_tarski(A,k4_dtconstr(k5_dtconstr)) => k15_dtconstr(k5_dtconstr,A) = k3_pre_poly(k4_ordinal1,k5_numbers) ) ) )).
fof(t13_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_dualsp01(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_dualsp01(A))) => ! [D] : ( v1_xreal_0(D) => ( C = k1_rlvect_1(k8_dualsp01(A),B,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k9_dualsp01(A,C,E) = k3_xcmplx_0(D,k9_dualsp01(A,B,E)) ) ) ) ) ) ) )).
fof(t13_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & v1_dualsp01(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) <=> ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_dualsp02)) & v13_vectsp_1(B,A,k3_dualsp02) & v1_lopban_1(B,A,k3_dualsp02) & v2_lopban_1(B,A,k3_dualsp02) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_dualsp02)))) ) ) ) )).
fof(t13_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( m1_dynkin(D,A) & v2_finsub_1(D) & r2_tarski(B,D) & r2_tarski(C,D) ) => r2_tarski(k7_subset_1(A,B,C),D) ) ) ) ) ) )).
fof(t13_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k10_xtuple_0(u1_e_siec(A)) = k10_xtuple_0(k1_sysrel(u1_e_siec(A))) & k10_xtuple_0(u1_e_siec(A)) = k9_xtuple_0(k1_sysrel(u1_e_siec(A))) & k10_xtuple_0(u2_e_siec(A)) = k10_xtuple_0(k1_sysrel(u2_e_siec(A))) & k10_xtuple_0(u2_e_siec(A)) = k9_xtuple_0(k1_sysrel(u2_e_siec(A))) & k10_xtuple_0(u1_e_siec(A)) = k10_xtuple_0(u2_e_siec(A)) ) ) )).
fof(t13_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ? [C] : ( v7_ordinal1(C) & B = k4_nat_d(C,A) ) ) ) )).
fof(t13_ec_pf_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k2_binom(B,k8_group_1(B,k8_group_1(B,C,D),E),A) = k8_group_1(B,k8_group_1(B,k2_binom(B,C,A),k2_binom(B,D,A)),k2_binom(B,E,A)) ) ) ) ) ) )).
fof(t13_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) ) => ( v1_funct_1(k6_partfun1(u1_struct_0(A))) & v1_funct_2(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & v6_group_1(k6_partfun1(u1_struct_0(A)),A,A) & v1_group_6(k6_partfun1(u1_struct_0(A)),A,A) & m1_subset_1(k6_partfun1(u1_struct_0(A)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) )).
fof(t13_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => ! [C] : ( m1_subset_1(C,k2_ens_1(A)) => ! [D] : ( m1_subset_1(D,k2_ens_1(A)) => ( ( k3_ens_1(A,C) = k4_ens_1(A,B) & k3_ens_1(A,D) = k4_ens_1(A,C) ) => k6_ens_1(A,k6_ens_1(A,B,C),D) = k6_ens_1(A,B,k6_ens_1(A,C,D)) ) ) ) ) ) )).
fof(t13_entropy1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r1_entropy1(B,A) => k18_rvsum_1(B) = k1_funct_1(B,A) ) ) ) )).
fof(t13_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_enumset1(A,B,C),k1_enumset1(D,E,F)) )).
fof(t13_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_relset_1(A,A,k5_eqrel_1(A,k5_eqrel_1(A,B,C),D),k5_eqrel_1(A,B,k5_eqrel_1(A,C,D))) ) ) ) )).
fof(t13_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => r6_pboole(A,k9_pboole(A,k1_funct_6(B),B),k2_funct_6(B)) ) )).
fof(t13_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(A,B,C)),k2_xcmplx_0(k12_euclid(B),k12_euclid(C))) ) ) ) )).
fof(t13_euclid10,axiom,( ! [A] : ( v1_xreal_0(A) => k17_sin_cos(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),3),A)) = k17_sin_cos(k6_xcmplx_0(k7_xcmplx_0(k28_sin_cos,3),A)) ) )).
fof(t13_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k2_xcmplx_0(k1_square_1(k12_euclid(k4_rvsum_1(A,B))),k1_square_1(k12_euclid(k8_rvsum_1(A,B)))) = k3_xcmplx_0(2,k2_xcmplx_0(k1_square_1(k12_euclid(A)),k1_square_1(k12_euclid(B)))) ) ) ) )).
fof(t13_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k2_euclid_3(k4_algstr_0(k15_euclid(2),A)) = k4_xcmplx_0(k2_euclid_3(A)) ) )).
fof(t13_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_euclid(A))) => ~ ( v1_euclid_4(B,A) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ~ ( r2_tarski(C,B) & r2_tarski(D,B) & C != D ) ) ) ) ) ) )).
fof(t13_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k5_algstr_0(k15_euclid(3),k4_euclid_5(A,C,E),k4_euclid_5(B,D,F)) = k4_euclid_5(k6_xcmplx_0(A,B),k6_xcmplx_0(C,D),k6_xcmplx_0(E,F)) ) ) ) ) ) ) )).
fof(t13_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,C)) & D != A & D != C & k2_xcmplx_0(k4_euclid_3(A,D,B),k4_euclid_3(B,D,C)) != k28_sin_cos & k2_xcmplx_0(k4_euclid_3(A,D,B),k4_euclid_3(B,D,C)) != k3_xcmplx_0(3,k28_sin_cos) ) ) ) ) ) )).
fof(t13_euclid_7,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v2_funct_1(A) <=> v2_funct_1(k6_rfinseq2(A)) ) ) )).
fof(t13_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => k22_rvsum_1(A,k1_euclid_8(k5_numbers,k5_numbers,k5_numbers)) = k5_numbers ) )).
fof(t13_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( r1_xxreal_0(B,C) => r1_tarski(k4_euclid_9(A,D,B),k4_euclid_9(A,D,C)) ) ) ) ) ) )).
fof(t13_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(D)) => k9_euclid(D,E,k6_xcmplx_0(k6_xcmplx_0(A,B),C)) = k8_euclid(D,k8_euclid(D,k9_euclid(D,E,A),k9_euclid(D,E,B)),k9_euclid(D,E,C)) ) ) ) ) ) )).
fof(t13_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v6_euclmetr(A) <=> v8_conmetr(A) ) ) )).
fof(t13_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_nat_d(C,k3_xcmplx_0(A,B)) & r1_int_2(A,C) ) => r1_nat_d(C,B) ) ) ) ) )).
fof(t13_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => k2_euler_2(k2_euler_2(B,A),A) = k2_euler_2(B,A) ) ) )).
fof(t13_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v3_exchsort(A,k3_ordinal2(k9_xtuple_0(A))) ) )).
fof(t13_extens_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ( v2_relat_1(B) => ( v1_msualg_3(D) <=> ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ! [F] : ( m2_pboole(F,A,E,B) => ! [G] : ( m2_pboole(G,A,E,B) => ( k8_pboole(F,D) = k8_pboole(G,D) => r6_pboole(A,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t13_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) => r2_extpro_1(A,B,C,D,k1_xboole_0) ) ) ) ) )).
fof(t13_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( k3_extreal1(A) = A | k3_extreal1(A) = k2_xxreal_3(A) ) ) )).
fof(t13_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k5_facirc_1(A,B,C,k2_xcmplx_0(D,E)) = k5_facirc_1(A,B,k5_facirc_1(A,B,C,D),E) ) ) ) ) ) )).
fof(t13_facirc_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(A,B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => r1_tarski(k3_msafree2(k3_facirc_2(A,C,D)),k3_msafree2(k3_facirc_2(B,C,D))) ) ) ) ) ) )).
fof(t13_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,B)) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_tarski(k2_relset_1(k1_numbers,C),A) & v2_comseq_2(C) & r2_hidden(k1_seq_2(C),A) ) => ( v2_comseq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,B)) & k1_funct_1(B,k1_seq_2(C)) = k1_seq_2(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,B)) ) ) ) ) ) ) )).
fof(t13_fcont_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ~ ( B != k1_xboole_0 & r1_tarski(B,k1_relset_1(k1_numbers,A)) & v1_rcomp_1(B) & v1_fcont_2(k2_partfun1(k1_numbers,k1_numbers,A,B)) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(C,B) & r2_hidden(D,B) & k1_funct_1(A,C) = k2_seq_4(k7_relset_1(k1_numbers,k1_numbers,A,B)) & k1_funct_1(A,D) = k3_seq_4(k7_relset_1(k1_numbers,k1_numbers,A,B)) ) ) ) ) ) ) )).
fof(t13_fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_rfunct_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => ( ! [C] : ( v1_xreal_0(C) => k7_relset_1(k1_numbers,k1_numbers,B,A) != k1_limfunc1(C) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t13_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_fdiff_1(B,A) & r1_fdiff_1(C,A) ) => ( r1_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & k1_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) = k2_xcmplx_0(k1_fdiff_1(B,A),k1_fdiff_1(C,A)) ) ) ) ) ) )).
fof(t13_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k27_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k27_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k27_sin_cos),A),B) = k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos,B),k1_funct_1(k27_sin_cos,B)),k7_xcmplx_0(1,k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t13_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k16_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k16_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k16_sin_cos),A),B) = k7_xcmplx_0(k1_funct_1(k18_sin_cos,k1_funct_1(k1_sin_cos9,B)),k2_xcmplx_0(1,k1_square_1(B))) ) ) ) ) ) )).
fof(t13_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_fdiff_1(B,A) & r1_fdiff_1(C,k1_funct_1(B,A)) ) => ( r1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) & k1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) = k3_xcmplx_0(k1_fdiff_1(C,k1_funct_1(B,A)),k1_fdiff_1(B,A)) ) ) ) ) ) )).
fof(t13_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r4_fdiff_3(A,C) & r4_fdiff_3(B,C) ) => ( k1_funct_1(B,C) = k5_numbers | ( r4_fdiff_3(k3_rfunct_1(k1_numbers,k1_numbers,A,B),C) & k1_fdiff_3(C,k3_rfunct_1(k1_numbers,k1_numbers,A,B)) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_3(C,A),k1_funct_1(B,C)),k3_xcmplx_0(k1_fdiff_3(C,B),k1_funct_1(A,C))),k1_square_1(k1_funct_1(B,C))) ) ) ) ) ) ) )).
fof(t13_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(D,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k3_taylor_1))) & F = k1_taylor_1(2) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => ( k1_funct_1(E,G) = k2_xcmplx_0(A,k3_xcmplx_0(B,G)) & ~ r1_xxreal_0(k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),G),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k3_taylor_1),D) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,D) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),k3_taylor_1),D),G) = k7_xcmplx_0(k2_xcmplx_0(B,k3_xcmplx_0(k3_xcmplx_0(2,C),G)),k2_xcmplx_0(k2_xcmplx_0(A,k3_xcmplx_0(B,G)),k3_xcmplx_0(C,k1_newton(G,2)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_fdiff_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k16_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A))))) & r1_xxreal_0(1,A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(A,D) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k16_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A))),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k16_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A))),B),D) = k3_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k18_sin_cos,D),k6_xcmplx_0(A,1))),k1_funct_1(k18_sin_cos,k3_xcmplx_0(k2_xcmplx_0(A,1),D))) ) ) ) ) ) ) ) )).
fof(t13_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),k22_sin_cos),k7_xcmplx_0(1,k2_xcmplx_0(1,k3_power(k4_power,A)))))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(D,k3_power(k4_power,A)) ) ) ) => ( r1_xxreal_0(A,k5_numbers) | A = k7_xcmplx_0(1,k4_power) | ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),k22_sin_cos),k7_xcmplx_0(1,k2_xcmplx_0(1,k3_power(k4_power,A)))),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),k22_sin_cos),k7_xcmplx_0(1,k2_xcmplx_0(1,k3_power(k4_power,A)))),B),D) = k3_xcmplx_0(k6_prepower(A,D),k1_funct_1(k22_sin_cos,D)) ) ) ) ) ) ) ) ) )).
fof(t13_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(2)),k7_xcmplx_0(1,2)))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(2)),k7_xcmplx_0(1,2)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(2)),k7_xcmplx_0(1,2)),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k3_sin_cos6,B),k3_square_1(k6_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) )).
fof(t13_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k27_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k27_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k27_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k22_sin_cos,B))))) ) ) ) ) ) )).
fof(t13_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k18_sin_cos,k1_funct_1(k22_sin_cos,B))),k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k22_sin_cos,B))))) ) ) ) ) ) )).
fof(t13_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k4_relat_1(k2_net_1(A))) & r1_xboole_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k4_relat_1(k2_net_1(A))) & r1_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k4_relat_1(k2_net_1(A))) & r1_xboole_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k4_relat_1(k2_net_1(A))) ) ) )).
fof(t13_fib_num2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => r1_tarski(k10_xtuple_0(k15_finseq_1(A)),k10_xtuple_0(A)) ) )).
fof(t13_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_nat_1(k1_fib_num3(k1_nat_1(A,1)),k1_fib_num3(k1_nat_1(A,2))) = k1_fib_num3(k1_nat_1(A,3)) ) )).
fof(t13_fib_num4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ r1_xxreal_0(k2_power(k1_fib_num,A),k2_power(k2_fib_num,A)) ) )).
fof(t13_filerec1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_finseq_1(E,D) => ( E = k11_finseq_1(A,B,C) => k17_finseq_1(D,1,E) = k9_finseq_1(A) ) ) ) )).
fof(t13_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ~ v1_xboole_0(k6_domain_1(u1_struct_0(A),B)) & v19_lattices(k6_domain_1(u1_struct_0(A),B),A) & v20_lattices(k6_domain_1(u1_struct_0(A),B),A) & m1_subset_1(k6_domain_1(u1_struct_0(A),B),k1_zfmisc_1(u1_struct_0(A))) ) => v14_lattices(A) ) ) ) )).
fof(t13_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_filter_1(u2_lattices(A),u1_struct_0(A),k9_filter_0(A,B)) ) ) )).
fof(t13_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) <=> r2_tarski(k4_lattices(A,C,D),B) ) ) ) => ( v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t13_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k9_fin_topo(A,B)) ) ) )).
fof(t13_finance1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k4_xcmplx_0(1)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [F] : ( m1_finance1(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_finance1(A,k1_numbers,B,k12_prob_1)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_finance1(A,k1_numbers,B,k12_prob_1)))) ) => ( r1_funct_2(A,k1_numbers,A,k1_tarski(k2_xcmplx_0(1,D)),k9_finance1(k5_numbers,A,k1_numbers,B,k12_prob_1,k6_finance1(A,k1_numbers,B,k12_prob_1),G),k7_funcop_1(A,k2_xcmplx_0(1,D))) => ! [H] : ( m1_subset_1(H,A) => ( r1_xxreal_0(k4_finance1(C,E,F),k5_numbers) => r1_xxreal_0(k11_finance1(C,E,A,B,k6_finance1(A,k1_numbers,B,k12_prob_1),G,H),k6_xcmplx_0(k12_finance1(C,E,A,B,k6_finance1(A,k1_numbers,B,k12_prob_1),G,H),k3_xcmplx_0(k2_xcmplx_0(1,D),k5_finance1(C,E,F)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_finance2,axiom,( m1_prob_1(k4_xboole_0(k1_numbers,k4_ordinal1),k1_numbers,k12_prob_1) )).
fof(t13_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( k4_finseq_1(A) = k4_finseq_1(B) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) => A = B ) ) ) )).
fof(t13_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => m2_finseq_1(k10_finseq_1(B,C),A) ) ) ) )).
fof(t13_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k6_xcmplx_0(A,B),k2_finseq_1(A)) <=> ~ r1_xxreal_0(A,B) ) ) ) )).
fof(t13_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r1_finseq_4(A,B) => k1_finseq_4(A,k1_funct_1(A,B)) = B ) ) )).
fof(t13_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) ) => k7_partfun1(A,B,D) = k7_partfun1(A,C,D) ) ) ) => B = C ) ) ) ) )).
fof(t13_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_tarski(A,B) => r1_tarski(k7_finseq_1(C,A),k7_finseq_1(C,B)) ) ) ) ) )).
fof(t13_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => k1_finseq_7(A,k2_finseq_4(A,B,C),1,D) = k2_finseq_4(A,D,C) ) ) ) ) )).
fof(t13_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( k4_finseq_8(A,B,B) = B & k3_finseq_8(A,B,B) = B & k5_finseq_8(A,B,B) = k1_xboole_0 & k6_finseq_8(A,B,B) = k1_xboole_0 ) ) ) )).
fof(t13_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [F] : ( m2_finseq_1(F,B) => ! [G] : ( m2_finseq_1(G,B) => r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,E,D,k8_finseq_1(B,F,G)),k8_finseq_1(C,k3_finseqop(A,B,C,E,D,F),k3_finseqop(A,B,C,E,D,G))) ) ) ) ) ) ) ) )).
fof(t13_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( v1_finset_1(A) & r1_tarski(A,k2_zfmisc_1(B,C)) & ! [D] : ! [E] : ~ ( v1_finset_1(D) & r1_tarski(D,B) & v1_finset_1(E) & r1_tarski(E,C) & r1_tarski(A,k2_zfmisc_1(D,E)) ) ) )).
fof(t13_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(D,A) => k1_finsop_1(A,k2_finseq_4(A,B,C),D) = k1_finsop_1(A,k2_finseq_4(A,C,B),D) ) ) ) ) ) )).
fof(t13_finsub_1,axiom,( ! [A] : r1_tarski(k5_finsub_1(A),k1_zfmisc_1(A)) )).
fof(t13_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k6_fin_topo(A,C)) <=> ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k1_fintopo2(A,B,D,C) = k7_margrel1 & k2_fintopo2(A,B,E,C) = k7_margrel1 ) ) & k4_fintopo2(A,B,C) = k7_margrel1 ) ) ) ) ) )).
fof(t13_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => k3_fintopo3(A,B,k1_nat_1(C,1)) = k9_fin_topo(A,k3_fintopo3(A,B,C)) ) ) ) )).
fof(t13_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_fin_topo(A) => ( v4_fin_topo(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & k7_subset_1(u1_struct_0(A),B,C) != k1_xboole_0 & r1_tarski(C,B) & r1_xboole_0(k9_fin_topo(A,C),k7_subset_1(u1_struct_0(A),B,C)) ) ) ) ) ) ) )).
fof(t13_fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))))) & v1_fintopo5(B,k3_fintopo5(A,1),k2_fintopo4(A)) ) ) )).
fof(t13_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_fintopo6(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k9_fin_topo(B,D) = k9_subset_1(u1_struct_0(B),k9_fin_topo(A,C),k2_struct_0(B)) ) ) ) ) ) )).
fof(t13_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ( k6_flang_1(A,B,k4_flang_1(A,k2_flang_1(A))) = B & k6_flang_1(A,k4_flang_1(A,k2_flang_1(A)),B) = B ) ) )).
fof(t13_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(k2_flang_1(A),C) => ( r1_tarski(B,k6_flang_1(A,B,k7_flang_1(A,C,D))) & r1_tarski(B,k6_flang_1(A,k7_flang_1(A,C,D),B)) ) ) ) ) ) )).
fof(t13_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( v7_ordinal1(D) => ( r1_tarski(B,C) => r1_tarski(k1_flang_3(A,B,D),k1_flang_3(A,C,D)) ) ) ) ) )).
fof(t13_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( k1_funct_1(k6_fomodel0(A,C),k12_finseq_1(A,B)) = B & ! [D] : ( ( ~ v1_xboole_0(D) & m2_finseq_1(D,A) ) => k1_funct_1(k6_fomodel0(A,C),k1_monoid_0(A,D,k12_finseq_1(A,B))) = k1_binop_1(C,k1_funct_1(k6_fomodel0(A,C),D),B) ) ) ) ) ) )).
fof(t13_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ( m2_subset_1(A,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) <=> ( ~ v1_xboole_0(A) & m1_fomodel0(A,k15_fomodel1(B)) ) ) ) )).
fof(t13_fomodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k8_relset_1(k4_finseq_2(2,A),k5_margrel1,k2_fomodel2(A),k6_domain_1(k4_ordinal1,1)) = a_1_1_fomodel2(A) ) )).
fof(t13_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ( k5_relat_1(D,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(C),k37_fomodel1(B))) = k5_relat_1(E,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(C),k37_fomodel1(B))) => k25_fomodel2(B,A,D,C) = k25_fomodel2(B,A,E,C) ) ) ) ) ) ) )).
fof(t13_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( v10_fomodel4(D,B,C) => v10_fomodel4(A,B,C) ) ) ) ) )).
fof(t13_frechet,axiom,( ! [A] : ! [B] : ( r1_tarski(B,A) => k7_relset_1(A,A,k6_partfun1(A),B) = B ) )).
fof(t13_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & r2_tarski(D,k2_frechet(A,C)) ) => r2_tarski(D,k2_pre_topc(A,B)) ) ) ) ) ) )).
fof(t13_friends1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_2(A) & v3_relat_2(A) & v1_finset_1(A) & v3_friends1(A) ) => ! [B] : ( m1_subset_1(B,k1_relat_1(A)) => ! [C] : ( m1_subset_1(C,k1_relat_1(A)) => ~ ( v1_friends1(B,A) & B != C & ! [D] : ~ ( k9_relat_1(A,C) = k2_tarski(B,D) & k9_relat_1(A,D) = k2_tarski(B,C) ) ) ) ) ) )).
fof(t13_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) & F = k1_funct_1(D,k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) & G = k1_funct_1(D,k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) ) => k11_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k6_fscirc_1(A,B,C)) = k1_binarith(k1_binarith(E,F),G) ) ) ) ) ) ) ) ) )).
fof(t13_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(A,C),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & k2_msafree2(k3_fscirc_1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t13_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & l3_fsm_1(C,A,B) ) => ? [D] : ( ~ v2_struct_0(D) & v8_struct_0(D) & l2_fsm_1(D,A,B) & r3_fsm_1(A,B,D,C) ) ) ) ) )).
fof(t13_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ( ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E != u2_fsm_1(A,B) => k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,E,C)) = k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,E,D)) ) ) ) ) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,D,C)) != u2_fsm_1(A,B) ) ) ) => v1_fsm_2(B,A) ) ) ) )).
fof(t13_fsm_3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(B))) => ! [E] : ( ( ~ v2_struct_0(E) & l1_rewrite3(E,D) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(E))) => ( k1_afinsq_1(C) = 1 => ( A = k3_rewrite3(B,D,E,C,F) <=> r4_rewrite3(B,k9_flang_1(B),k1_fsm_3(B,D,E),F,C,A) ) ) ) ) ) ) ) )).
fof(t13_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & k2_msafree2(k7_ftacell1(A,B,C,D,E)) != k3_enumset1(A,B,C,D,E) ) ) ) ) ) )).
fof(t13_funcop_1,axiom,( ! [A] : ! [B] : ( k9_xtuple_0(k2_funcop_1(A,B)) = A & r1_tarski(k10_xtuple_0(k2_funcop_1(A,B)),k1_tarski(B)) ) )).
fof(t13_funcsdom,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( m2_funct_2(D,C,k1_numbers,k9_funct_2(C,k1_numbers)) => k1_binop_1(k7_funcsdom(C),A,k1_binop_1(k7_funcsdom(C),B,D)) = k1_binop_1(k7_funcsdom(C),k3_xcmplx_0(A,B),D) ) ) ) )).
fof(t13_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,k9_xtuple_0(B)) => k1_funct_1(k3_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A)) ) ) ) )).
fof(t13_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ~ ( B = k1_xboole_0 & C != k1_xboole_0 & A != k1_xboole_0 ) => v1_funct_2(k4_relset_1(A,B,B,C,D,E),A,C) ) ) ) )).
fof(t13_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k3_tarski(k7_relat_1(k1_funct_3(B),A)),k7_relat_1(B,k3_tarski(A))) ) )).
fof(t13_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(k1_funct_4(A,B),C) = k1_funct_1(B,C) ) ) ) )).
fof(t13_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( k9_xtuple_0(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(A,C) & k10_xtuple_0(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(B,D) ) )).
fof(t13_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( ( r1_tarski(k10_xtuple_0(F),k4_partfun1(D,E)) & k9_xtuple_0(F) = A ) => ( ( ~ r2_tarski(k2_funct_5(F),k1_funct_2(k2_zfmisc_1(A,B),C)) & ~ r2_tarski(k4_funct_5(F),k1_funct_2(k2_zfmisc_1(B,A),C)) ) | r2_tarski(F,k1_funct_2(A,k1_funct_2(B,C))) ) ) ) )).
fof(t13_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != B & r2_tarski(A,k10_xtuple_0(k1_funct_4(k6_partfun1(C),k17_funcop_1(A,B)))) ) )).
fof(t13_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_funct_8(A,k1_numbers,k1_numbers,B) & r1_funct_8(A,k1_numbers,k1_numbers,C) ) => r1_funct_8(A,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t13_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_funct_9(B,A) => ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k1_funct_1(B,k6_xcmplx_0(C,A)) ) ) ) ) ) )).
fof(t13_functor0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( v2_funct_2(k1_functor0(A,B,C,D),C) => v2_funct_2(D,C) ) ) )).
fof(t13_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_altcat_2(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_altcat_2(C) & m1_altcat_2(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_altcat_2(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_altcat_2(E,C) ) => ( D = E => ! [F] : ( l2_functor0(F,A,B) => k14_functor0(A,B,D,F) = k14_functor0(C,B,E,k14_functor0(A,B,C,F)) ) ) ) ) ) ) ) )).
fof(t13_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,A,B) & m2_functor0(F,A,B) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ! [H] : ( m1_functor2(H,A,B,D,E) => ! [I] : ( m1_functor2(I,A,B,E,F) => ( ( r1_functor2(A,B,D,E) & r1_functor2(A,B,E,F) ) => r8_pboole(u1_struct_0(A),k5_functor3(A,B,C,D,F,k3_functor2(A,B,D,E,F,H,I),G),k3_functor2(A,C,k1_functor3(A,B,C,D,G),k1_functor3(A,B,C,E,G),k1_functor3(A,B,C,F,G),k5_functor3(A,B,C,D,E,H,G),k5_functor3(A,B,C,E,F,I,G))) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k1_fcont_1(k5_numbers,k5_numbers),A) != 1 ) )).
fof(t13_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r1_tarski(k10_xtuple_0(D),k1_rcomp_1(B,C)) & r1_xxreal_0(B,C) ) => ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => ( r1_xxreal_0(B,k1_funct_1(D,E)) & r1_xxreal_0(k1_funct_1(D,E),C) ) ) ) ) ) ) ) ) )).
fof(t13_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k1_fuzzy_2(A,B,C),k1_fuzzy_2(A,k2_fuzzy_1(A,B,C),C)) ) ) ) )).
fof(t13_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,C),k1_numbers,k3_fuzzy_4(A,B,C,D,k2_fuzzy_1(k2_zfmisc_1(B,C),E,F)),k2_fuzzy_1(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,E),k3_fuzzy_4(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(t13_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_fvaluat1(A,B,1) = B ) ) )).
fof(t13_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_algstr_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => r1_finseqop(u1_struct_0(A),k4_vectsp_1(A),u1_algstr_0(A)) ) )).
fof(t13_gate_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(k7_gate_1(A,B)) <=> ( v1_xboole_0(A) & v1_xboole_0(B) ) ) )).
fof(t13_gaussint,axiom,( m1_subset_1(u1_struct_0(k11_gaussint),k1_zfmisc_1(u1_struct_0(k2_vectsp_1))) & u1_algstr_0(k11_gaussint) = k1_realset1(u1_algstr_0(k2_vectsp_1),u1_struct_0(k11_gaussint)) & u2_algstr_0(k11_gaussint) = k1_realset1(u2_algstr_0(k2_vectsp_1),u1_struct_0(k11_gaussint)) & k5_struct_0(k11_gaussint) = k5_struct_0(k2_vectsp_1) & k4_struct_0(k11_gaussint) = k4_struct_0(k2_vectsp_1) & v13_algstr_0(k11_gaussint) & v5_group_1(k11_gaussint) & v33_algstr_0(k11_gaussint) & ~ v6_struct_0(k11_gaussint) )).
fof(t13_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_gcd_1(A,D,B) & r2_gcd_1(A,D,C) ) => ( D = k4_struct_0(A) | ( k1_gcd_1(A,B,D) = k1_gcd_1(A,C,D) <=> B = C ) ) ) ) ) ) ) )).
fof(t13_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v2_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m1_genealg1(D,C) => ! [E] : ( m1_genealg1(E,C) => k8_genealg1(C,D,E,A,B) = k8_genealg1(C,D,E,B,A) ) ) ) ) ) )).
fof(t13_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analoaf(A,B,D,D,C) => r1_analoaf(A,k1_geomtrap(A,B,D),D,D,k1_geomtrap(A,D,C)) ) ) ) ) ) )).
fof(t13_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & k2_msafree2(k5_gfacirc1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t13_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,C,D,B) => ( r2_hidden(C,k6_glib_000(A)) & r2_hidden(D,k6_glib_000(A)) ) ) ) )).
fof(t13_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ( k3_finseq_1(k1_glib_001(A,B)) = 1 & k1_funct_1(k1_glib_001(A,B),1) = B & k3_glib_001(A,k1_glib_001(A,B)) = B & k4_glib_001(A,k1_glib_001(A,B)) = B & r1_glib_001(A,B,B,k1_glib_001(A,B)) ) ) ) )).
fof(t13_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m3_glib_001(C,A) => ( r2_tarski(B,k13_glib_001(A,C)) => r1_tarski(k13_glib_001(A,C),k1_glib_002(A,B)) ) ) ) ) )).
fof(t13_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => k3_finseq_1(k8_glib_003(A,B)) = k15_glib_001(A,B) ) ) )).
fof(t13_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v2_glib_001(B,A) & v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( ( v2_glib_001(C,A) & v5_glib_001(C,A) & m3_glib_001(C,A) ) => ! [D] : ! [E] : ( ( r2_glib_004(A,B,D,E) & r2_glib_004(A,C,D,E) ) => k10_glib_003(A,B) = k10_glib_003(A,C) ) ) ) ) )).
fof(t13_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m3_glib_001(C,A) => ~ ( ~ v3_glib_001(C,A) & r5_glib_005(A,B,C) & r1_xxreal_0(k9_glib_005(A,B,C),k5_numbers) ) ) ) ) )).
fof(t13_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(B,k2_finseq_1(k1_matrix_0(D))) & k1_matrix_0(D) = k1_nat_1(A,1) & r1_xxreal_0(1,C) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(B,C) | ( k8_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(B,u1_struct_0(k15_euclid(2)),D),C) = k8_matrix_0(u1_struct_0(k15_euclid(2)),D,C) & r2_tarski(C,k2_finseq_1(k1_matrix_0(k16_matrix_0(B,u1_struct_0(k15_euclid(2)),D)))) & r2_tarski(C,k2_finseq_1(k1_matrix_0(D))) ) ) ) ) ) ) ) )).
fof(t13_goboard2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( k3_finseq_1(k2_goboard2(A)) = k1_card_1(k10_xtuple_0(k1_goboard1(A))) & k1_matrix_0(k2_goboard2(A)) = k1_card_1(k10_xtuple_0(k2_goboard1(A))) ) ) )).
fof(t13_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v1_goboard1(C) & v4_goboard1(C) & r1_xxreal_0(1,B) ) => ( v3_relat_1(C) | r1_xxreal_0(k3_finseq_1(C),A) | r1_xxreal_0(k1_matrix_0(C),B) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))),k1_goboard5(C,A)) ) ) ) ) ) )).
fof(t13_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k1_goboard5(A,k3_finseq_1(A))) = a_1_1_goboard6(A) ) )).
fof(t13_goboard7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k1_matrix_0(C)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,2)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))) ) ) ) ) )).
fof(t13_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1))),k7_xcmplx_0(1,2)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,1))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t13_goboard9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(A,k3_finseq_1(B)) => v1_convex1(k1_tops_1(k15_euclid(2),k1_goboard5(B,A)),k15_euclid(2)) ) ) ) )).
fof(t13_gobrd11,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( v1_xreal_0(B) => ( A = a_1_3_gobrd11(B) => v4_pre_topc(A,k15_euclid(2)) ) ) ) )).
fof(t13_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( ( ~ v3_relat_1(F) & v1_matrix_0(F) & v1_goboard1(F) & v2_goboard1(F) & v3_goboard1(F) & v4_goboard1(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(E),k9_matrix_0(F)) & r1_xxreal_0(1,A) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(E)) & r1_xxreal_0(1,B) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,D) ) => ( r1_xxreal_0(k3_finseq_1(E),A) | r1_xxreal_0(k3_finseq_1(F),B) | r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),F,k1_nat_1(B,1),D)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k1_nat_1(A,1),C))) ) ) ) ) ) ) ) ) )).
fof(t13_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)) = k4_subset_1(u1_struct_0(k15_euclid(2)),B,C) & r1_xboole_0(B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))))) => ( ( D = B & E = C ) => ( v3_connsp_1(D,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) & v3_connsp_1(E,k1_pre_topc(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)))) ) ) ) ) & ~ ( B = k3_goboard9(A) & C = k2_goboard9(A) ) & ~ ( B = k2_goboard9(A) & C = k3_goboard9(A) ) ) ) ) ) )).
fof(t13_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( ( v1_henmodel(C,A) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) ) => ( ( r1_tarski(B,C) & v2_goedelcp(B,A) ) => v2_goedelcp(C,A) ) ) ) ) )).
fof(t13_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => k7_cqc_sim1(A,k12_cqc_lang(A,C,B)) = k1_nat_1(k7_cqc_sim1(A,B),1) ) ) ) )).
fof(t13_gr_cy_1,axiom,( k1_group_1(k2_gr_cy_1) = k5_numbers )).
fof(t13_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( A = k5_group_4(A,k6_domain_1(u1_struct_0(A),C)) & r1_struct_0(B,C) ) => g3_algstr_0(u1_struct_0(A),u2_algstr_0(A)) = g3_algstr_0(u1_struct_0(B),u2_algstr_0(B)) ) ) ) ) )).
fof(t13_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_gr_cy_3(A) ) => ? [B] : ( v7_ordinal1(B) & v1_int_2(B) & v2_gr_cy_3(B) & k7_group_1(k3_int_7(A)) = k3_xcmplx_0(2,B) ) ) )).
fof(t13_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( ? [D] : ( ~ v2_struct_0(D) & l1_graph_1(D) & r4_graph_1(A,D) & r4_graph_1(B,D) & r4_graph_1(C,D) ) => k5_graph_1(k5_graph_1(A,B),C) = k5_graph_1(A,k5_graph_1(B,C)) ) ) ) ) )).
fof(t13_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( B != k1_xboole_0 => k1_nat_1(k3_finseq_1(k3_graph_2(A,B)),1) = k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)) ) ) ) )).
fof(t13_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( r2_tarski(D,u4_struct_0(A)) & r1_graph_2(A,C,B) & k1_funct_1(C,k3_finseq_1(C)) = k1_funct_1(u2_graph_1(A),D) ) => ( m1_graph_1(k7_finseq_1(B,k9_finseq_1(D)),A) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & E = k3_graph_2(C,k10_finseq_1(k1_funct_1(u2_graph_1(A),D),k1_funct_1(u1_graph_1(A),D))) & r1_graph_2(A,E,k7_finseq_1(B,k9_finseq_1(D))) & k1_funct_1(E,1) = k1_funct_1(C,1) & k1_funct_1(E,k3_finseq_1(E)) = k1_funct_1(u1_graph_1(A),D) ) ) ) ) ) ) )).
fof(t13_graph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(C)) => ! [F] : ( ( v7_graph_1(F,C) & m2_graph_1(F,C) ) => ! [G] : ( ( v7_graph_1(G,C) & m2_graph_1(G,C) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) & r1_xxreal_0(B,k3_finseq_1(F)) & G = k2_graph_2(u4_struct_0(C),F,A,B) & r3_graph_4(C,D,F) & E = k2_graph_2(u1_struct_0(C),D,A,k1_nat_1(B,1)) ) => r3_graph_4(C,E,G) ) ) ) ) ) ) ) ) )).
fof(t13_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( v7_graph_1(k1_xboole_0,A) & v1_graph_4(k1_xboole_0,A) & m2_graph_1(k1_xboole_0,A) ) ) )).
fof(t13_graphsp,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v6_graph_1(C) & l1_graph_1(C) ) => ! [D] : ( ( v7_graph_1(D,C) & m2_graph_1(D,C) ) => ! [E] : ( ( v7_graph_1(E,C) & m2_graph_1(E,C) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ( ( r5_graph_5(C,A) & r8_graph_5(C,F,G,D,B,A) & r8_graph_5(C,F,H,E,B,A) & ! [I] : ~ ( r2_tarski(I,u4_struct_0(C)) & r1_graph_4(C,G,H,I) ) & r9_graph_5(C,D,B,F,A) ) => ( F = G | F = H | r8_graph_5(C,F,H,E,k2_xboole_0(B,k1_tarski(G)),A) ) ) ) ) ) ) ) ) ) )).
fof(t13_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_grcat_1(C) & m1_grcat_1(C,A,B) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & C = g1_grcat_1(A,B,D) ) ) ) ) )).
fof(t13_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) => ( v1_relat_1(k2_xboole_0(A,B)) & v1_funct_1(k2_xboole_0(A,B)) ) ) ) ) )).
fof(t13_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => ( m1_group_6(k1_grnilp_1(A,C,k7_group_2(A)),A,D) => m1_group_6(k1_grnilp_1(A,k10_group_2(A,C,B),B),A,k10_group_2(A,D,B)) ) ) ) ) ) )).
fof(t13_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( v7_rewrite1(k3_polyred(A,B,C,D)) => v4_rewrite1(k3_polyred(A,B,C,D)) ) ) ) ) ) )).
fof(t13_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => r8_pboole(k15_pre_poly(A),k1_polyred(A,D,B,k5_vfunct_1(k15_pre_poly(A),B,C)),k5_vfunct_1(k15_pre_poly(A),B,k1_polyred(A,D,B,C))) ) ) ) ) )).
fof(t13_groeb_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_vfunct_1(k15_pre_poly(A),B,k8_polynom1(A,B)),k8_polynom1(A,B)) ) )).
fof(t13_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,D,B) = C <=> B = k6_algstr_0(A,k2_group_1(A,D),C) ) ) ) ) ) )).
fof(t13_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( k4_nat_d(k4_card_1(k15_group_10(A,B)),B) = 1 & r1_nat_d(k4_card_1(k15_group_10(A,B)),k7_group_1(A)) ) ) ) )).
fof(t13_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_tarski(k13_group_2(A,C,D),B) => r2_tarski(D,k1_group_11(A,B,C)) ) ) ) ) ) )).
fof(t13_group_12,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k2_finseq_1(A)) & v1_funct_1(B) & v1_partfun1(B,k2_finseq_1(A)) & v1_group_7(B) & v2_group_7(B,k2_finseq_1(A)) & v3_group_7(B,k2_finseq_1(A)) & v4_group_7(B,k2_finseq_1(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_finseq_1(A)) & v1_funct_1(C) & v1_partfun1(C,k2_finseq_1(A)) & v1_group_7(C) & v2_group_7(C,k2_finseq_1(A)) & v3_group_7(C,k2_finseq_1(A)) & v4_group_7(C,k2_finseq_1(A)) ) => ~ ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k2_finseq_1(A)) => k1_group_7(k2_finseq_1(A),C,D) = k2_group_12(k2_finseq_1(A),B,D) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(k2_group_7(k2_finseq_1(A),B))) & v1_group_6(D,k2_group_7(k2_finseq_1(A),C),k2_group_7(k2_finseq_1(A),B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(k2_group_7(k2_finseq_1(A),B))))) ) => ~ ( v3_funct_2(D,u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(k2_group_7(k2_finseq_1(A),B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_7(k2_finseq_1(A),C))) => ? [F] : ( m2_finseq_1(F,u1_struct_0(k2_group_7(k2_finseq_1(A),B))) & k3_finseq_1(F) = A & ! [G] : ( m2_subset_1(G,k4_ordinal1,k2_finseq_1(A)) => r1_struct_0(k1_group_7(k2_finseq_1(A),C,G),k1_funct_1(F,G)) ) & F = E & k3_funct_2(u1_struct_0(k2_group_7(k2_finseq_1(A),C)),u1_struct_0(k2_group_7(k2_finseq_1(A),B)),D,E) = k3_group_4(k2_group_7(k2_finseq_1(A),B),F) ) ) ) ) ) ) ) ) )).
fof(t13_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ( r2_tarski(B,k4_finseq_1(A)) => k5_int_1(k5_int_1(C,k19_rvsum_1(A)),k1_funct_1(A,B)) = k5_int_1(C,k1_funct_1(A,B)) ) ) ) ) )).
fof(t13_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = a_2_0_group_17(A,B) => ( C != k1_xboole_0 & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => r2_tarski(k8_group_1(A,D,E),C) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r2_tarski(k2_group_1(A,D),C) ) ) ) ) ) ) ) )).
fof(t13_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r1_xxreal_0(k6_group_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)),k6_group_1(A,C)) ) ) ) ) )).
fof(t13_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ( ! [D] : ( m1_subset_1(D,A) => m1_group_2(k2_group_19(A,C,D),B) ) => k1_group_1(k2_group_7(A,C)) = k8_funcop_1(u1_struct_0(B),A,k1_group_1(B)) ) ) ) ) )).
fof(t13_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D) = k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D)) ) ) ) ) )).
fof(t13_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => k11_group_2(A,D,k14_group_2(A,C,B)) = k12_group_2(A,C,k13_group_2(A,D,B)) ) ) ) ) )).
fof(t13_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k3_group_4(A,k1_group_4(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k1_group_1(A)))) = k3_group_4(A,B) ) ) )).
fof(t13_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_group_5(A,k3_finseq_4(u1_struct_0(A),B,C,D),E) = k3_finseq_4(u1_struct_0(A),k2_group_3(A,B,E),k2_group_3(A,C,E),k2_group_3(A,D,E)) ) ) ) ) ) )).
fof(t13_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ~ ( r2_hidden(B,k15_group_2(A,C)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B = k13_group_2(A,C,D) & B = k14_group_2(A,C,D) ) ) ) ) ) )).
fof(t13_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ( v1_relat_1(k9_finseq_1(A)) & v4_relat_1(k9_finseq_1(A),k1_tarski(1)) & v1_funct_1(k9_finseq_1(A)) & v1_partfun1(k9_finseq_1(A),k1_tarski(1)) & v1_group_7(k9_finseq_1(A)) & v4_group_7(k9_finseq_1(A),k1_tarski(1)) ) ) )).
fof(t13_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_group_1(B,A) <=> ! [C] : ( v1_int_1(C) => ( k5_group_1(A,B,C) = k1_group_1(A) => C = k5_numbers ) ) ) ) ) )).
fof(t13_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(C,E) => r1_struct_0(D,E) ) ) => m1_group_9(C,A,D) ) ) ) ) )).
fof(t13_groupp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => v1_groupp_1(k1_group_1(A),B,A) ) ) )).
fof(t13_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k13_group_2(B,k2_grsolv_1(A,B,C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k13_group_2(A,D,E)) & k14_group_2(B,k2_grsolv_1(A,B,C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k14_group_2(A,D,E)) ) ) ) ) ) ) )).
fof(t13_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_gtarski1(A,B,B,B) & r2_gtarski1(A,B,B,C,C) ) ) ) ) )).
fof(t13_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [E] : ( m1_rlsub_1(E,k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))) => ( ( B = D & C = E ) => ( r1_struct_0(C,B) | ! [F] : ( m1_subset_1(F,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ( r1_struct_0(C,F) => k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),F,E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),u1_struct_0(A),F,k4_struct_0(A)) ) ) ) ) ) ) ) ) ) )).
fof(t13_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k3_hahnban1(A,B,k3_hahnban1(A,B,C,D),E),k3_hahnban1(A,B,C,k3_hahnban1(A,B,D,E))) ) ) ) ) ) )).
fof(t13_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ! [E] : ( ~ r2_tarski(C,E) => k1_hallmar1(A,B,E) = k1_hallmar1(A,k2_hallmar1(A,B,C,D),E) ) ) ) ) )).
fof(t13_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r1_xxreal_0(k1_funct_1(k6_weierstr(A,B),C),k3_metric_1(A,C,D)) ) ) ) ) ) )).
fof(t13_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( r1_tarski(B,C) => r1_tarski(k13_glib_001(A,B),k13_glib_001(A,C)) ) ) ) ) )).
fof(t13_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => v1_henmodel(k6_domain_1(k3_cqc_lang(A),k5_cqc_lang(A)),A) ) )).
fof(t13_hermitan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => k8_group_1(k1_complfld,A,k2_complfld(A)) = k1_square_1(k9_complex1(A)) ) )).
fof(t13_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,B,C,E) & r1_collsp(A,B,C,D) & r1_collsp(A,E,F,B) & B != D & B != F & r1_collsp(A,D,B,F) ) ) ) ) ) ) ) )).
fof(t13_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ( B = k1_xboole_0 => k6_heyting1(A,B) = k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)) ) ) )).
fof(t13_heyting2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ( C = k1_xboole_0 => k3_substlat(A,B,k2_heyting2(A,B,C)) = k6_lattices(k5_substlat(A,B)) ) ) ) ) )).
fof(t13_heyting3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_tarski(A,B) & r1_tarski(C,D) ) => ( v4_yellow_0(k1_heyting3(A,C),k1_heyting3(B,D)) & m1_yellow_0(k1_heyting3(A,C),k1_heyting3(B,D)) ) ) )).
fof(t13_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,B) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,B),3),A) = k1_funct_1(k16_sin_cos,A) ) ) ) )).
fof(t13_hilbasis,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_1(C) & v4_vectsp_1(C) & l6_algstr_0(C) ) => k3_polynom1(k15_pre_poly(A),C,k3_hilbasis(A,B,C)) = k6_domain_1(k15_pre_poly(A),k2_hilbasis(A,B)) ) ) )).
fof(t13_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ( v6_hilbert1(A) => r1_tarski(k6_hilbert1,A) ) ) )).
fof(t13_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( k1_funct_1(B,1) = k1_nat_1(3,A) => v3_hilbert2(B) ) ) ) )).
fof(t13_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( A != B => k3_relat_1(k4_funct_4(A,B,B,A),k4_funct_4(A,B,C,D)) = k4_funct_4(A,B,D,C) ) )).
fof(t13_holder_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,1) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [G] : ( v7_ordinal1(G) => ( k8_nat_1(k1_numbers,D,G) = k2_power(k9_complex1(k8_nat_1(k1_numbers,B,G)),A) & k8_nat_1(k1_numbers,E,G) = k2_power(k9_complex1(k8_nat_1(k1_numbers,C,G)),A) & k8_nat_1(k1_numbers,F,G) = k2_power(k9_complex1(k3_real_1(k8_nat_1(k1_numbers,B,G),k8_nat_1(k1_numbers,C,G))),A) ) ) & v1_series_1(D) & v1_series_1(E) ) => ( v1_series_1(F) & r1_xxreal_0(k2_power(k4_series_1(F),k7_xcmplx_0(1,A)),k2_xcmplx_0(k2_power(k4_series_1(D),k7_xcmplx_0(1,A)),k2_power(k4_series_1(E),k7_xcmplx_0(1,A)))) ) ) ) ) ) ) ) ) ) )).
fof(t13_huffman1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : k4_trees_2(k6_trees_4(C,B,A)) = k2_xboole_0(k4_trees_2(B),k4_trees_2(A)) ) ) )).
fof(t13_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k13_polynom3(A))) => ( B = k4_rlvect_1(k13_polynom3(A),C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k8_nat_1(u1_struct_0(A),B,D) = k4_rlvect_1(A,k1_hurwitz(A,C,D)) ) ) ) ) ) )).
fof(t13_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,k1_hurwitz2(A,B),B),k5_vfunct_1(k4_ordinal1,A,k2_hurwitz2(A,B))) ) ) )).
fof(t13_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_idea_1(B,A) => k4_idea_1(B,k5_numbers,A) = A ) ) ) )).
fof(t13_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v6_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k4_algstr_0(A,C),B) ) ) ) ) )).
fof(t13_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k3_incproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k3_incproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k3_incproj(A))) => ! [G] : ( m1_subset_1(G,u2_incsp_1(k3_incproj(A))) => ! [H] : ( m1_subset_1(H,u2_incsp_1(k3_incproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k3_incproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k3_incproj(A))) => ~ ( r1_incsp_1(k3_incproj(A),B,I) & r1_incsp_1(k3_incproj(A),C,I) & r1_incsp_1(k3_incproj(A),D,J) & r1_incsp_1(k3_incproj(A),E,J) & r1_incsp_1(k3_incproj(A),F,I) & r1_incsp_1(k3_incproj(A),F,J) & r1_incsp_1(k3_incproj(A),B,G) & r1_incsp_1(k3_incproj(A),D,G) & r1_incsp_1(k3_incproj(A),C,H) & r1_incsp_1(k3_incproj(A),E,H) & ~ r1_incsp_1(k3_incproj(A),F,G) & ~ r1_incsp_1(k3_incproj(A),F,H) & I != J & ! [K] : ( m1_subset_1(K,u1_incsp_1(k3_incproj(A))) => ~ ( r1_incsp_1(k3_incproj(A),K,G) & r1_incsp_1(k3_incproj(A),K,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_incsp_1,axiom,( ! [A] : ( l2_incsp_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A))) => ( ( r1_tarski(C,B) & v4_incsp_1(B,A) ) => v4_incsp_1(C,A) ) ) ) ) )).
fof(t13_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k8_cat_1(A,C,k9_index_1(A,B,C),D) = k2_index_1(u1_struct_0(A),k1_xfamily(B),D) ) ) ) ) )).
fof(t13_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ( ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & r1_tarski(u1_msualg_1(B),u1_msualg_1(A)) & r1_tarski(u2_msualg_1(B),u2_msualg_1(A)) ) => m1_instalg1(B,A) ) ) ) )).
fof(t13_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => r2_int_1(A,B,1) ) ) )).
fof(t13_int_2,axiom,( ! [A] : ( v1_int_1(A) => ~ ( ( r1_int_1(A,1) | r1_int_1(A,k4_xcmplx_0(1)) ) & A != 1 & A != k4_xcmplx_0(1) ) ) )).
fof(t13_int_3,axiom,( k5_struct_0(k1_int_3) = 1 )).
fof(t13_int_4,axiom,( ! [A] : ( v1_int_1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( v1_int_1(B) => ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & B = k2_xcmplx_0(k3_xcmplx_0(A,C),D) & r1_xxreal_0(k5_numbers,D) & ~ r1_xxreal_0(A,D) ) ) ) ) ) )).
fof(t13_int_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( k5_int_1(B,D) = k5_int_1(C,D) => k5_int_1(k1_newton(B,A),D) = k5_int_1(k1_newton(C,A),D) ) ) ) ) ) )).
fof(t13_int_6,axiom,( ! [A] : ( v1_int_1(A) => ( r1_int_1(k1_int_2(A),A) & r1_int_1(A,k1_int_2(A)) ) ) )).
fof(t13_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ~ ( v1_int_7(A) & k8_nat_3(k8_newton,A) = k5_numbers ) ) )).
fof(t13_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( r1_int_2(A,B) & k3_finseq_1(C) = k3_pepin(A,B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => k1_funct_1(C,D) = k1_newton(A,k7_nat_d(D,1)) ) ) ) => ( r1_xxreal_0(B,1) | ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k1_relset_1(k4_ordinal1,C)) => k4_nat_d(k1_newton(k1_funct_1(C,D),k3_pepin(A,B)),B) = 1 ) ) ) ) ) ) ) )).
fof(t13_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,A)) & r1_integra5(k3_integra5(B,C),A) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,A,k3_integra5(B,C))) ) => ( r1_xxreal_0(C,B) | k2_integr10(A,B,C) = k4_integra5(B,C,A) ) ) ) ) ) )).
fof(t13_integr11,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(A,k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)) = k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4))),k2_seq_4(A)),k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4))),k3_seq_4(A))) ) )).
fof(t13_integr12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & C = k1_relset_1(k1_numbers,B) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos))) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t13_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,D) & r2_relset_1(k1_numbers,k1_numbers,C,k1_taylor_1(2)) & r2_relset_1(k1_numbers,k1_numbers,B,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),C)),k3_rfunct_1(k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos)))) & r1_tarski(D,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k26_sin_cos))) & D = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k26_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k26_sin_cos),k3_seq_4(A))) ) ) ) ) ) )).
fof(t13_integr14,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k2_fdiff_9))) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k2_fdiff_9)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k2_fdiff_9)),A),B) = k2_xcmplx_0(k7_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k1_funct_1(k16_sin_cos,B))),k1_funct_1(k16_sin_cos,B)),k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k27_sin_cos,B),k1_funct_1(k18_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t13_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( k2_partfun1(k1_numbers,k1_euclid(A),C,B) = D => ( r1_integr15(A,B,C) <=> v2_integr15(D,A,B) ) ) ) ) ) ) )).
fof(t13_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(B) <=> ( v1_comseq_2(k5_comseq_3(A,B)) & v1_comseq_2(k6_comseq_3(A,B)) ) ) ) ) )).
fof(t13_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,D)) & r1_integr18(A,C,D) ) => ( r1_integr18(A,C,k4_vfunct_1(k1_numbers,A,D,B)) & k5_integr18(A,C,k4_vfunct_1(k1_numbers,A,D,B)) = k1_rlvect_1(A,k5_integr18(A,C,D),B) ) ) ) ) ) ) )).
fof(t13_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_xxreal_0(B,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,C) & r1_integr15(A,k3_integra5(B,C),F) & r1_integr15(A,k3_integra5(B,C),G) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),F,k3_integra5(B,C)),A) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),G,k3_integra5(B,C)),A) & r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,F)) & r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,G)) ) => ( r1_integr15(A,k3_integra5(D,E),k8_integr15(A,k1_numbers,F,G)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),k8_integr15(A,k1_numbers,F,G),k3_integra5(D,E)),A) ) ) ) ) ) ) ) ) ) )).
fof(t13_integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( r2_hidden(F,k1_relset_1(B,C)) & r2_hidden(G,k1_relset_1(B,C)) & ~ r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(F,G))) & r1_xxreal_0(D,k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),C,F),k7_partfun1(u1_struct_0(A),C,G)))) ) ) ) ) ) ) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( m2_integr18(E,A,B,C,D) => ( ( v2_comseq_2(k2_integra3(B,D)) & k1_seq_2(k2_integra3(B,D)) = k5_numbers ) => v3_normsp_1(k3_integr18(A,B,C,D,E),A) ) ) ) ) ) ) ) )).
fof(t13_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) ) => r1_integr18(E,k3_integra5(C,D),F) ) ) ) ) ) ) ) )).
fof(t13_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_seq_2(k2_partfun1(A,k1_numbers,B,A)) => v4_xxreal_2(k1_rvsum_1(B)) ) ) ) )).
fof(t13_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( v4_xxreal_2(B) & r1_xxreal_0(k5_numbers,A) ) => k2_seq_4(k1_integra2(B,A)) = k3_xcmplx_0(A,k2_seq_4(B)) ) ) ) )).
fof(t13_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( r2_hidden(A,k2_integra1(B,C,k3_finseq_1(C))) & r1_integra1(C,D) & k1_rvsum_1(D) = k4_subset_1(k1_numbers,k1_rvsum_1(C),k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B,k1_numbers,E,B)) ) => ( k3_integra1(B) = k5_numbers | r1_xxreal_0(A,k3_seq_4(B)) | r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k5_integra1(B,E,D)),k18_rvsum_1(k5_integra1(B,E,C))),k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)),k3_seq_4(k1_rvsum_1(E))),k1_integra3(B,C))) ) ) ) ) ) ) ) )).
fof(t13_integra4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_partfun1(k18_rfunct_3(A,B),A) & v1_partfun1(k19_rfunct_3(A,B),A) ) ) ) )).
fof(t13_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,B) & r2_fdiff_1(C,B) & r1_integra5(A,k2_fdiff_1(C,B)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_1(C,B),A)) ) => k2_integra5(A,k2_fdiff_1(C,B)) = k6_xcmplx_0(k1_funct_1(C,k2_seq_4(A)),k1_funct_1(C,k3_seq_4(A))) ) ) ) )).
fof(t13_integra6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,C,A)) ) => v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A)) ) ) ) ) )).
fof(t13_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_integra7(B,D,C) => r1_integra7(B,k26_valued_1(k1_numbers,k1_numbers,D,A),k26_valued_1(k1_numbers,k1_numbers,C,A)) ) ) ) ) )).
fof(t13_integra8,axiom,( k19_sin_cos(k7_xcmplx_0(k28_sin_cos,4)) = k7_xcmplx_0(k3_square_1(2),2) )).
fof(t13_integra9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k16_sin_cos)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k16_sin_cos)),A),B) = k4_xcmplx_0(k3_xcmplx_0(B,k1_funct_1(k18_sin_cos,B))) ) ) ) ) )).
fof(t13_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( ( r1_tarski(B,C) & r1_tarski(D,E) ) => k2_setfam_1(k2_interva1(A,B,C),k2_interva1(A,D,E)) = a_5_1_interva1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t13_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_intpro_1)) => ( r1_tarski(A,B) => r1_tarski(k7_intpro_1(A),k7_intpro_1(B)) ) ) ) )).
fof(t13_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k1_irrat_1(A),B),k5_numbers) & r1_xxreal_0(k1_funct_1(k1_irrat_1(A),B),1) ) ) ) ) )).
fof(t13_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ( v12_cat_1(C,A,B) => ( r2_funct_2(u4_struct_0(B),u4_struct_0(B),k9_cat_1(B,A,B,k1_isocat_1(A,B,C),C),k10_cat_1(B)) & r2_funct_2(u4_struct_0(A),u4_struct_0(A),k9_cat_1(A,B,A,C,k1_isocat_1(A,B,C)),k10_cat_1(A)) ) ) ) ) ) )).
fof(t13_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m2_cat_1(E,k6_cat_2(A,B),C) => ( r2_nattra_1(k6_cat_2(A,B),C,D,E) => ! [F] : ( m2_nattra_1(F,k6_cat_2(A,B),C,D,E) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_nattra_1(B,C,k10_cat_2(A,B,C,D,G),k10_cat_2(A,B,C,E,G)) & m2_nattra_1(k1_funct_1(k1_funct_5(F),G),B,C,k10_cat_2(A,B,C,D,G),k10_cat_2(A,B,C,E,G)) ) ) ) ) ) ) ) ) ) )).
fof(t13_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tops_1(B,A) => v5_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t13_jct_misc,axiom,( ! [A] : ( ( v4_pre_topc(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v9_rltopsp1(A,k15_euclid(2)) => v2_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,A)) ) ) )).
fof(t13_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( v1_goboard5(A) & r1_xboole_0(k2_topreal1(2,A,1),k2_topreal1(2,A,k7_nat_d(k3_finseq_1(A),1))) ) => v3_topreal1(A) ) ) )).
fof(t13_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ~ ( ~ ( r1_xxreal_0(k18_euclid(A),k17_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k17_euclid(A)),k18_euclid(A)) ) & ~ ( r1_xxreal_0(k17_euclid(A),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),k4_xcmplx_0(k17_euclid(A))) ) & ~ ( r1_xxreal_0(k17_euclid(A),k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)),k17_euclid(A)) ) & ~ ( r1_xxreal_0(k18_euclid(A),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),k4_xcmplx_0(k18_euclid(A))) ) ) ) )).
fof(t13_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k1_funct_1(B,C) = k7_xcmplx_0(k18_euclid(C),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k17_euclid(C),k18_euclid(C)))))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & k18_euclid(C) = k5_numbers ) ) ) => v5_pre_topc(B,k1_pre_topc(k15_euclid(2),A),k3_topmetr) ) ) ) )).
fof(t13_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),B)),u1_struct_0(k3_topmetr)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k1_pre_topc(k15_euclid(A),B))) => k1_funct_1(C,D) = k1_funct_1(k1_jgraph_4(A),D) ) => v5_pre_topc(C,k1_pre_topc(k15_euclid(A),B),k3_topmetr) ) ) ) ) )).
fof(t13_jgraph_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k5_topmetr)) => ~ ( H = k5_numbers & I = 1 & v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) & C = a_0_0_jgraph_5 & D = a_0_1_jgraph_5 & E = a_0_2_jgraph_5 & F = a_0_3_jgraph_5 & G = a_0_4_jgraph_5 & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H),E) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I),D) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H),F) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I),G) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),A),C) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B)) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_jgraph_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(E,A,k3_topmetr) & v5_pre_topc(F,A,k3_topmetr) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(k15_euclid(B))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k15_euclid(B))))) ) => ~ ( ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k15_euclid(B)),G,H) = k3_rlvect_1(k15_euclid(B),k1_rlvect_1(k15_euclid(B),C,k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),E,H)),k1_rlvect_1(k15_euclid(B),D,k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),F,H))) ) & v5_pre_topc(G,A,k15_euclid(B)) ) ) ) ) ) ) ) ) ) )).
fof(t13_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( k18_euclid(A) = F & k17_euclid(B) = D & r1_xxreal_0(C,k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),D) & r1_xxreal_0(E,k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),F) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(F,E) | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).
fof(t13_jordan,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(2)),k6_topreal1(k2_jordan21(A)),k6_domain_1(u1_struct_0(k15_euclid(2)),k2_jordan21(A))),k2_jordan2c(2,A)) ) )).
fof(t13_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_1_jordan1(A) => v1_convex1(B,k15_euclid(2)) ) ) ) )).
fof(t13_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(k2_jordan2c(2,k3_topreal1(2,k1_jordan9(B,A))),k2_jordan2c(2,B)) ) ) )).
fof(t13_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,k2_jordan2c(2,A)) & r2_tarski(B,k1_jordan2c(2,A)) & r1_xxreal_0(k1_topreal6(2,C,B),k5_jordan1k(2,C,A)) ) ) ) ) )).
fof(t13_jordan12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_xboole_0(k1_rltopsp1(k15_euclid(2),B,C),k3_topreal1(2,A)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),D) & r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) ) )).
fof(t13_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_tarski(k1_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B))),k1_jordan2c(2,A)) ) ) ) )).
fof(t13_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),E,C),k3_topreal1(2,k1_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)) ) ) ) ) ) ) ) ) )).
fof(t13_jordan16,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),D,E,B) & r1_topreal1(k15_euclid(2),D,E,C) & r1_tarski(B,A) & r1_tarski(C,A) & k9_subset_1(u1_struct_0(k15_euclid(2)),B,C) = k2_tarski(D,E) ) => k4_subset_1(u1_struct_0(k15_euclid(2)),B,C) = A ) ) ) ) ) ) )).
fof(t13_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( B != C & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != B & F != C & r1_jordan17(A,B,F,C,D) ) ) ) ) ) ) ) ) )).
fof(t13_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_jordan2c(2,A)) & r1_tarski(k5_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t13_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,E) & r1_xxreal_0(E,D) & r1_xxreal_0(D,k1_matrix_0(k1_jordan8(B,A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)),k9_jordan6(B)) ) ) ) ) ) ) )).
fof(t13_jordan1a,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ( ( r2_tarski(A,k6_jordan6(C)) & r2_tarski(B,k6_jordan6(C)) ) => r1_tarski(k1_rltopsp1(k15_euclid(2),A,B),k6_jordan6(C)) ) ) ) ) )).
fof(t13_jordan1b,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k1_jordan1a(A),k3_finseq_1(A)) ) )).
fof(t13_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_int_1(D) => ( D = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(C),k6_pscomp_1(A)),k6_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A))),k1_newton(2,B)),2)) => r1_xxreal_0(k2_xcmplx_0(k6_pscomp_1(A),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),k1_newton(2,B)),k6_xcmplx_0(D,2))),k17_euclid(C)) ) ) ) ) ) )).
fof(t13_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k25_pscomp_1(B),k1_gobrd13(k1_jordan9(B,A),k1_jordan8(B,A),C)) ) ) ) )).
fof(t13_jordan1e,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k3_topreal1(2,k1_jordan9(A,B)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan1e(A,B)),k3_topreal1(2,k2_jordan1e(A,B))) ) ) )).
fof(t13_jordan1f,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_topreal2(B) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( k17_euclid(C) = k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(B),k8_pscomp_1(B)),2) & k18_euclid(C) = k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,1),k1_jordan1a(k1_jordan8(B,1)),1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,1),k1_jordan1a(k1_jordan8(B,1)),k1_matrix_0(k1_jordan8(B,1)))),k8_jordan6(k3_topreal1(2,k1_jordan9(B,k1_nat_1(A,1))))))) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(k1_jordan8(B,k1_nat_1(A,1)))) & C = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),k1_jordan1a(k1_jordan8(B,k1_nat_1(A,1))),D) ) ) ) ) ) ) )).
fof(t13_jordan1g,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_topreal1(A) & v2_topreal1(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( ( ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k18_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k18_pscomp_1(k3_topreal1(2,A)) ) | ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k19_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k19_pscomp_1(k3_topreal1(2,A)) ) ) & k18_pscomp_1(k3_topreal1(2,A)) = k19_pscomp_1(k3_topreal1(2,A)) ) ) )).
fof(t13_jordan1h,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_tarski(k2_relset_1(A,k7_matrix_0(A,B,C)),k2_jordan1h(A,B)) ) ) ) ) )).
fof(t13_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(k1_nat_1(C,1),D),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r1_xxreal_0(k1_matrix_0(B),D) ) ) ) ) ) ) ) )).
fof(t13_jordan1j,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k25_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k10_xtuple_0(k2_jordan1e(B,A))) & r2_tarski(k25_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k3_topreal1(2,k2_jordan1e(B,A))) ) ) ) )).
fof(t13_jordan1k,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r2_tarski(E,C) & r2_tarski(F,D) ) => r1_xxreal_0(A,k3_metric_1(B,E,F)) ) ) ) => r1_xxreal_0(A,k7_weierstr(B,C,D)) ) ) ) ) ) )).
fof(t13_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [E] : ( v1_xreal_0(E) => ( ( r1_xxreal_0(E,1) & B = a_3_0_jordan20(A,D,E) & C = k3_rcomp_1(k5_numbers,E) ) => k7_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),D,C) = B ) ) ) ) ) ) )).
fof(t13_jordan21,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v2_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),A,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2))))) & v3_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),A,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2))))) & v4_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),A,k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2))))) ) ) )).
fof(t13_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan9(A,B)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),k3_finseq_1(k1_jordan8(A,B))))))) = k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan9(A,B)),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2))))) ) ) ) )).
fof(t13_jordan23,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( ( v3_jordan23(B) & v1_finseq_6(B,A) ) => ! [C] : ( m1_subset_1(C,A) => v3_jordan23(k1_finseq_6(A,B,C)) ) ) ) ) )).
fof(t13_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)))))) ) => ( E = k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D) => v5_pre_topc(E,k1_pre_topc(A,D),k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D))) ) ) ) ) ) ) ) )).
fof(t13_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( C = a_3_1_jordan2b(A,B,D) & r2_tarski(D,k2_finseq_1(A)) ) => v3_pre_topc(C,k15_euclid(A)) ) ) ) ) ) )).
fof(t13_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r1_jordan2c(A,B,C) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B))))) & D = C & v3_connsp_1(D,k1_pre_topc(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B))) & v6_tbsp_1(D,k14_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) ) ) ) ) )).
fof(t13_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( v3_topreal1(A) & r2_tarski(B,k2_topreal1(2,A,C)) & C != k1_jordan3(A,B) & C != k1_nat_1(k1_jordan3(A,B),1) ) ) ) ) )).
fof(t13_jordan4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) & r1_xxreal_0(D,k3_finseq_1(C)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_nat_1(k7_nat_d(D,E),1)) ) => ( k1_funct_1(k3_finseq_6(B,C,D,E),A) = k1_funct_1(k3_finseq_6(B,C,E,D),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(D,E),1),A),1)) & k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(D,E),1),A),1) = k1_nat_1(k7_nat_d(k1_nat_1(k7_nat_d(D,E),1),A),1) ) ) ) ) ) ) ) )).
fof(t13_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k4_topmetr(A,B))) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tmap_1(k4_topmetr(A,B),k4_topmetr(C,D),F,G) & k1_funct_1(F,A) = C & k1_funct_1(F,B) = D & v2_funct_1(F) & F = H & G = E ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(D,C) | r1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,H,k1_rcomp_1(A,B)),E) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_jordan5b,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( A != B => k1_rltopsp1(k15_euclid(2),A,B) = a_2_0_jordan5b(A,B) ) ) ) )).
fof(t13_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan5c(A,B,C,D,E) & r1_jordan5c(A,B,C,E,F) ) => r1_jordan5c(A,B,C,D,F) ) ) ) ) ) ) ) )).
fof(t13_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_0_jordan5d(A) => B = k7_relat_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k14_pscomp_1(k3_topreal1(2,A))),u1_struct_0(k1_pre_topc(k15_euclid(2),k14_pscomp_1(k3_topreal1(2,A))))) ) ) ) )).
fof(t13_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),C,D,A) & B = a_2_0_jordan6(C,D) ) => ( ~ r1_xboole_0(A,B) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),A,B),k15_euclid(2)) ) ) ) ) ) ) )).
fof(t13_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( v1_topreal2(A) & r1_jordan6(A,B,C) & r1_jordan6(A,C,D) & r1_jordan6(A,D,E) ) => ( B = C | C = D | r1_xboole_0(k1_jordan7(A,B,C),k1_jordan7(A,D,E)) ) ) ) ) ) ) ) )).
fof(t13_jordan8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(k1_jordan8(C,B))) ) => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),A,2)) = k9_pscomp_1(C) ) ) ) ) )).
fof(t13_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & v2_sppol_1(k2_topreal1(2,C,A)) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( r2_tarski(E,k2_topreal1(2,C,A)) => k17_euclid(E) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,1)) ) ) ) ) ) ) ) ) )).
fof(t13_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_jordan6(A,B,k22_pscomp_1(A)) => k1_jordan7(A,B,k18_pscomp_1(A)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k4_jordan6(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B),k3_jordan6(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),k18_pscomp_1(A))) ) ) ) )).
fof(t13_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_knaster(A,B,C,k5_numbers) = C ) ) ) )).
fof(t13_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m1_kolmog01(D,B,A,C) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( ~ v1_xboole_0(k7_kolmog01(A,C,B,E,D)) & m1_subset_1(k7_kolmog01(A,C,B,E,D),k1_zfmisc_1(C)) ) ) ) ) ) ) )).
fof(t13_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) => r1_tarski(k4_kurato_0(A,D),k9_subset_1(A,k4_kurato_0(A,B),k4_kurato_0(A,C))) ) ) ) ) )).
fof(t13_kurato_1,axiom,( k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k6_kurato_1)))) = k2_rcomp_1(2,k1_xxreal_0) )).
fof(t13_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( m2_valued_0(C,k9_setfam_1(u1_struct_0(A)),B) => ! [D] : ( v7_ordinal1(D) => ? [E] : ( m1_subset_1(E,k4_ordinal1) & r1_xxreal_0(D,E) & k8_nat_1(k9_setfam_1(u1_struct_0(A)),C,D) = k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E) ) ) ) ) ) )).
fof(t13_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v1_abian(A) => A = 2 ) ) )).
fof(t13_lang1,axiom,( ! [A] : ! [B] : ( A != B => k3_lang1(k7_lang1(A,B)) = k1_tarski(k9_finseq_1(B)) ) )).
fof(t13_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(A)) & r2_tarski(E,k2_finseq_1(A)) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(F,k2_finseq_1(k7_nat_d(A,1))) & r2_tarski(G,k2_finseq_1(k7_nat_d(A,1))) ) => ( ~ ( ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(E,G) & k3_matrix_0(u1_struct_0(B),k2_laplace(D,E,A,B,C),F,G) != k3_matrix_0(u1_struct_0(B),C,F,G) ) & ( r1_xxreal_0(E,G) => ( r1_xxreal_0(D,F) | k3_matrix_0(u1_struct_0(B),k2_laplace(D,E,A,B,C),F,G) = k3_matrix_0(u1_struct_0(B),C,F,k1_nat_1(G,1)) ) ) & ( r1_xxreal_0(D,F) => ( r1_xxreal_0(E,G) | k3_matrix_0(u1_struct_0(B),k2_laplace(D,E,A,B,C),F,G) = k3_matrix_0(u1_struct_0(B),C,k1_nat_1(F,1),G) ) ) & ( ( r1_xxreal_0(D,F) & r1_xxreal_0(E,G) ) => k3_matrix_0(u1_struct_0(B),k2_laplace(D,E,A,B,C),F,G) = k3_matrix_0(u1_struct_0(B),C,k1_nat_1(F,1),k1_nat_1(G,1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(k1_latsubgr(A),B)) <=> r1_struct_0(B,C) ) ) ) ) )).
fof(t13_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( r2_tarski(C,k3_xboole_0(u1_struct_0(A),u1_struct_0(B))) => m1_subset_1(C,u1_struct_0(B)) ) ) ) )).
fof(t13_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,k2_lattices(A,C,B),C) = C <=> k2_lattices(A,C,k1_lattices(A,B,C)) = C ) ) ) ) )).
fof(t13_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_lattices(A) & l3_lattices(A) ) => k1_lattice2(k1_lattice2(A)) = A ) )).
fof(t13_lattice3,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_lattice3(A,B,C) = k10_lattice3(A,C,B) ) ) ) )).
fof(t13_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k2_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D) = k3_lattices(A,k2_lattice2(u1_struct_0(A),A,B,D),k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) ) ) ) ) )).
fof(t13_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_yellow_0(B,k1_lattice5(A)) & v6_yellow_0(B,k1_lattice5(A)) & m1_yellow_0(B,k1_lattice5(A)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( ( v1_partfun1(E,A) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [F] : ! [G] : ~ ( r2_tarski(D,u1_struct_0(B)) & r2_tarski(E,u1_struct_0(B)) & r2_hidden(k4_tarski(F,G),k5_eqrel_1(A,D,E)) & ! [H] : ( ( ~ v1_xboole_0(H) & m2_finseq_1(H,A) ) => ~ ( k3_finseq_1(H) = k1_nat_1(C,2) & r1_lattice5(A,H,F,G,D,E) ) ) ) ) ) => ( ! [D] : ( ( v1_partfun1(D,A) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ~ ( r2_tarski(D,u1_struct_0(B)) & D != k6_partfun1(A) ) ) | r1_xxreal_0(k2_lattice5(A,B),C) ) ) ) ) ) )).
fof(t13_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_lattice6(B,A) => ( r1_lattice6(A,B,k4_lattice6(A,B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattice6(A,B,C) => C = k4_lattice6(A,B) ) ) ) ) ) ) )).
fof(t13_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_yellow_1(k4_lattice7(k5_yellow_0(A,k3_lattice7(A)))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k4_lattice7(k5_yellow_0(A,k3_lattice7(A)))))))) & v23_waybel_0(B,A,k1_yellow_1(k4_lattice7(k5_yellow_0(A,k3_lattice7(A))))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k4_lattice7(k5_yellow_0(A,k3_lattice7(A))))),B,C) = k9_subset_1(u1_struct_0(A),k5_waybel_0(A,C),k3_lattice7(A)) ) ) ) )).
fof(t13_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k2_lattice8(A,B,C,D)) ) ) ) ) )).
fof(t13_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v2_filter_0(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(k3_lattices(A,C,D),B) & ~ r2_tarski(C,B) & ~ r2_tarski(D,B) ) ) ) ) ) ) )).
fof(t13_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)) = k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)) ) ) ) ) )).
fof(t13_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k39_glib_000(B)) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) = C ) ) ) ) )).
fof(t13_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v3_orders_2(k3_waybel_3(A,B,C)) & v4_orders_2(k3_waybel_3(A,B,C)) & v5_orders_2(k3_waybel_3(A,B,C)) & v1_lattice3(k3_waybel_3(A,B,C)) & v2_lattice3(k3_waybel_3(A,B,C)) & v3_lattice3(k3_waybel_3(A,B,C)) & v9_waybel_1(k3_waybel_3(A,B,C)) & l1_orders_2(k3_waybel_3(A,B,C)) ) ) => ( v3_lattice3(k4_yellow_1(A,B)) & v9_waybel_1(k4_yellow_1(A,B)) ) ) ) ) )).
fof(t13_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v4_relat_2(B) => v4_lfuzzy_1(k3_lfuzzy_1(B,k2_zfmisc_1(A,A)),A) ) ) ) )).
fof(t13_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( v1_limfunc1(A) => ( r1_xxreal_0(B,k5_numbers) | v1_limfunc1(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) ) ) & ( v1_limfunc1(A) => ( r1_xxreal_0(k5_numbers,B) | v2_limfunc1(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) ) ) & ( B = k5_numbers => ( k10_xtuple_0(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) = k1_tarski(k5_numbers) & v3_funct_1(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) ) ) ) ) ) )).
fof(t13_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc2(B,A) & r2_limfunc2(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C))) ) ) ) ) ) => ( r2_limfunc2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_limfunc2(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) ) )).
fof(t13_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r3_limfunc3(B,A) <=> ( r3_limfunc2(B,A) & r6_limfunc2(B,A) ) ) ) ) )).
fof(t13_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r3_limfunc2(B,A) & v7_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r2_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t13_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( C = u1_struct_0(B) => ( k4_struct_0(A) = k5_struct_0(A) | k1_vectsp_7(A,B,C) = B ) ) ) ) ) )).
fof(t13_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( ( r2_tarski(k4_struct_0(B),C) & v1_vectsp_4(C,A,B) ) => C = k2_struct_0(k1_vectsp_7(A,B,C)) ) ) ) ) )).
fof(t13_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( k8_lmod_7(A,B,E,C) = k8_lmod_7(A,B,E,D) <=> r1_struct_0(E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) )).
fof(t13_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => k4_struct_0(k5_lopban_1(A,B)) = k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) ) ) )).
fof(t13_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lopban_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lopban_2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_lopban_2(A))) => ( k1_algstr_0(k7_lopban_2(A),B,C) = k1_algstr_0(k7_lopban_2(A),C,B) & k1_algstr_0(k7_lopban_2(A),k1_algstr_0(k7_lopban_2(A),B,C),D) = k1_algstr_0(k7_lopban_2(A),B,k1_algstr_0(k7_lopban_2(A),C,D)) & k1_algstr_0(k7_lopban_2(A),B,k4_struct_0(k7_lopban_2(A))) = B & ? [E] : ( m1_subset_1(E,u1_struct_0(k7_lopban_2(A))) & k1_algstr_0(k7_lopban_2(A),B,E) = k4_struct_0(k7_lopban_2(A)) ) & k6_algstr_0(k7_lopban_2(A),k6_algstr_0(k7_lopban_2(A),B,C),D) = k6_algstr_0(k7_lopban_2(A),B,k6_algstr_0(k7_lopban_2(A),C,D)) & k6_algstr_0(k7_lopban_2(A),B,k5_struct_0(k7_lopban_2(A))) = B & k6_algstr_0(k7_lopban_2(A),k5_struct_0(k7_lopban_2(A)),B) = B & k6_algstr_0(k7_lopban_2(A),B,k1_algstr_0(k7_lopban_2(A),C,D)) = k1_algstr_0(k7_lopban_2(A),k6_algstr_0(k7_lopban_2(A),B,C),k6_algstr_0(k7_lopban_2(A),B,D)) & k6_algstr_0(k7_lopban_2(A),k1_algstr_0(k7_lopban_2(A),C,D),B) = k1_algstr_0(k7_lopban_2(A),k6_algstr_0(k7_lopban_2(A),C,B),k6_algstr_0(k7_lopban_2(A),D,B)) ) ) ) ) ) )).
fof(t13_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k4_struct_0(A) ) => v2_lopban_3(B,A) ) ) ) )).
fof(t13_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k3_xcmplx_0(k2_newton(k7_nat_d(A,1)),A) = k2_newton(A) ) ) & ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,A) => k3_xcmplx_0(k2_newton(k7_nat_d(A,B)),k6_xcmplx_0(k1_nat_1(A,1),B)) = k2_newton(k7_nat_d(k1_nat_1(A,1),B)) ) ) ) )).
fof(t13_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_lopban_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_lopban_1(D,A,B) & v2_nfcont_1(k1_relset_1(u1_struct_0(A),C),A) & r2_relset_1(u1_struct_0(A),u1_struct_0(B),C,D) ) => v1_lopban_7(C,A,B) ) ) ) ) ) )).
fof(t13_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k2_struct_0(A),u1_struct_0(k6_lopclset(A))) ) )).
fof(t13_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( v1_xreal_0(E) => ( ( k2_normsp_0(B,C) = k5_numbers => C = k4_struct_0(B) ) & ( C = k4_struct_0(B) => k2_normsp_0(B,C) = k5_numbers ) & r1_xxreal_0(k5_numbers,k2_normsp_0(B,C)) & r1_xxreal_0(k2_normsp_0(B,k1_algstr_0(B,C,D)),k2_xcmplx_0(k2_normsp_0(B,C),k2_normsp_0(B,D))) & k2_normsp_0(B,k1_rlvect_1(B,C,E)) = k3_xcmplx_0(k9_complex1(E),k2_normsp_0(B,C)) ) ) ) ) ) ) ) ) )).
fof(t13_lpspacc1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_rfunct_3(D,C,k2_numbers,k3_rfunct_3(C,k2_numbers)) => k1_binop_1(k9_lpspacc1(C),k1_binop_1(k8_lpspacc1(C),A,D),k1_binop_1(k8_lpspacc1(C),B,D)) = k1_binop_1(k8_lpspacc1(C),k2_xcmplx_0(A,B),D) ) ) ) ) )).
fof(t13_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,k3_lpspace1(A),B,k2_lpspace1(A,k1_numbers,k3_lpspace1(A),C,D)),k2_lpspace1(A,k1_numbers,k3_lpspace1(A),k2_lpspace1(A,k1_numbers,k3_lpspace1(A),B,C),D)) ) ) ) ) )).
fof(t13_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : r2_relset_1(A,k1_numbers,k56_valued_1(A,k1_numbers,k2_partfun1(A,k1_numbers,B,C)),k2_partfun1(A,k1_numbers,k56_valued_1(A,k1_numbers,B),C)) ) ) )).
fof(t13_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,C,k9_ltlaxio1(A,B))) = 1 <=> ~ ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,E),A)) = 1 & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_xxreal_0(F,E) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,F),B)) = 1 ) ) ) ) & ~ ! [E] : ( m1_subset_1(E,k4_ordinal1) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,k1_nat_1(C,E),B)) = 1 ) ) ) ) ) ) ) )).
fof(t13_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,B) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),C) = k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,B,A)),C) ) ) ) ) )).
fof(t13_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k4_ltlaxio1(A,B))) ) ) )).
fof(t13_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( r1_ltlaxio4(A,B) => v3_ltlaxio3(B) ) ) ) )).
fof(t13_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(C,k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,B,C),k4_cqc_the1(A)) ) ) ) ) )).
fof(t13_margrel1,axiom,( ! [A] : ( v1_xboolean(A) => k4_xboolean(k6_margrel1,A) = k6_margrel1 ) )).
fof(t13_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_tarski(k1_mathmorp(A,E,C),k1_mathmorp(A,D,B)) <=> r1_tarski(k1_mathmorp(A,k5_algstr_0(A,E,D),C),B) ) ) ) ) ) ) )).
fof(t13_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( r1_matrix10(C,B) => v1_matrix10(k5_matrix10(A,B,C)) ) ) ) ) )).
fof(t13_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(k1_nat_1(A,2))) => ! [E] : ( m1_matrix_1(E,k9_matrix_1(k1_nat_1(A,2))) => ( ( r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),E,k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),D,C)) & v5_matrix_1(D,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) => k2_matrix11(A,B,E) = k4_algstr_0(B,k2_matrix11(A,B,C)) ) ) ) ) ) ) )).
fof(t13_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ( ( r2_tarski(B,k4_finseq_1(k3_matrix_1(D,C))) & r2_tarski(A,k4_finseq_1(k3_matrix_1(D,C))) ) => ( A = B | ( v1_matrix_6(k3_matrix12(C,C,D,k3_matrix_1(D,C),B,A,E),C,D) & k1_matrix_6(C,D,k3_matrix12(C,C,D,k3_matrix_1(D,C),B,A,E)) = k3_matrix12(C,C,D,k3_matrix_1(D,C),B,A,k4_algstr_0(D,E)) ) ) ) ) ) ) ) ) )).
fof(t13_matrix14,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m2_finseq_2(C,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => k12_fvsum_1(A,B,C,k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B))) = k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B)) ) ) ) )).
fof(t13_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => m1_vectsp_4(k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k3_vectsp_1(A,B,F,E))))),A,k1_vectsp_7(A,B,C)) ) ) ) ) ) ) ) )).
fof(t13_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix16(E,u1_struct_0(B)) & v1_matrix16(F,u1_struct_0(B)) ) => v1_matrix16(k1_matrix_4(B,k2_matrix13(A,A,B,E,C),k2_matrix13(A,A,B,F,D)),u1_struct_0(B)) ) ) ) ) ) ) ) )).
fof(t13_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( v5_matrix17(C,u1_struct_0(A)) => k1_matrix17(u1_struct_0(A),k9_fvsum_1(A,C,B)) = k2_matrix13(k3_finseq_1(C),k3_finseq_1(C),A,k1_matrix17(u1_struct_0(A),C),B) ) ) ) ) )).
fof(t13_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( v1_matrix_0(k1_xboole_0) & v2_matrix_0(k1_xboole_0,B,k5_numbers,A) & m2_finseq_1(k1_xboole_0,k3_finseq_2(B)) ) ) ) )).
fof(t13_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ( k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B),B) = k1_finseq_2(A) & k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B,k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B)) = k1_finseq_2(A) ) ) ) )).
fof(t13_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k3_finseq_1(k11_fvsum_1(A,B,C)) = k4_nat_1(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) )).
fof(t13_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) ) => k1_matrix_4(A,B,k1_matrix_4(A,B,C)) = C ) ) ) ) )).
fof(t13_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k3_matrix_5(A,A) = k7_matrix_5(2,A) ) )).
fof(t13_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_6(C,A,B) => ( r1_xxreal_0(A,k5_numbers) | k1_matrix_6(A,B,k4_matrix_0(u1_struct_0(B),C)) = k4_matrix_0(u1_struct_0(B),k1_matrix_6(A,B,C)) ) ) ) ) ) )).
fof(t13_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_8(C,A,B) & v1_matrix_8(D,A,B) & v1_matrix_6(C,A,B) ) => v1_matrix_8(k4_matrix_3(B,C,D),A,B) ) ) ) ) ) )).
fof(t13_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k12_matrix_3(2,A,k15_matrix_0(u1_struct_0(A),B,C,D,E)) = k5_algstr_0(A,k8_group_1(A,B,E),k8_group_1(A,C,D)) ) ) ) ) ) )).
fof(t13_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( k3_finseq_1(k5_matrix_5(A,B)) = k3_finseq_1(A) & k1_matrix_0(k5_matrix_5(A,B)) = k1_matrix_0(A) ) ) ) )).
fof(t13_matrixj2,axiom,( ! [A] : ( l6_algstr_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( v2_matrixj2(C,A,B) <=> ? [D] : ( v7_ordinal1(D) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,D),k6_grcat_1(B,B)) ) ) ) ) ) )).
fof(t13_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) ) => k8_rvsum_1(A,k8_rvsum_1(B,C)) = k4_rvsum_1(k8_rvsum_1(A,B),C) ) ) ) ) )).
fof(t13_matrixr2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => k7_matrixr1(k6_xcmplx_0(A,B),C) = k5_matrixr1(k7_matrixr1(A,C),k7_matrixr1(B,C)) ) ) ) )).
fof(t13_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( k3_finseq_1(C) = k5_numbers => k4_rlvect_1(B,k6_matrlin(B,C)) = k4_struct_0(B) ) ) ) ) )).
fof(t13_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => k4_rlvect_1(C,k5_matrlin(A,C,k9_fvsum_1(A,E,B),D)) = k3_vectsp_1(A,C,B,k4_rlvect_1(C,k5_matrlin(A,C,E,D))) ) ) ) ) ) )).
fof(t13_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_vectsp_7(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ~ r2_hidden(D,u1_struct_0(k1_vectsp_7(A,B,C))) => v1_vectsp_7(k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),A,B) ) ) ) ) ) ) )).
fof(t13_matrprob,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(C)) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(D)) <=> ( r2_tarski(A,k4_finseq_1(D)) & r2_tarski(B,k4_finseq_1(k1_matrprob(C,D,A))) ) ) ) ) ) ) )).
fof(t13_matrtop1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( ( k3_finseq_1(D) = k3_finseq_1(B) & r1_xxreal_0(k3_finseq_1(E),k3_finseq_1(C)) ) => k15_finseq_1(k5_relat_1(k7_finseq_1(B,C),k8_relat_1(k7_finseq_1(D,E),A))) = k7_finseq_1(k15_finseq_1(k5_relat_1(B,k8_relat_1(D,A))),k15_finseq_1(k5_relat_1(C,k8_relat_1(E,A)))) ) ) ) ) ) )).
fof(t13_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k8_matrix13(k2_vectsp_1,C) = A => m1_matrlin(C,k2_vectsp_1,k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B),k9_matrix13(k2_vectsp_1,A,B,C))) ) ) ) ) )).
fof(t13_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k12_matrix_3(D,k2_vectsp_1,k2_matrtop3(D,A,B,C)) = k5_struct_0(k2_vectsp_1) ) ) ) ) ) ) )).
fof(t13_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v3_mazurulm(D,A,B) & v3_mazurulm(E,B,C) ) => v3_mazurulm(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t13_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r2_pboole(A,D,k5_pboole(A,B,C)) <=> ( r2_pboole(A,D,k2_pboole(A,B,C)) & r5_pboole(A,D,k3_pboole(A,B,C)) ) ) ) ) ) )).
fof(t13_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(B,k2_zfmisc_1(C,k1_tarski(A))) => ( r2_hidden(k1_xtuple_0(B),C) & k2_xtuple_0(B) = A ) ) )).
fof(t13_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_measure1(D,A,B,C) => ! [E] : ( m1_measure1(E,A,B,C) => ( m1_measure1(k1_measure1(A,B,D,E),A,B,C) & m1_measure1(k2_measure1(A,B,D,E),A,B,C) & m1_measure1(k3_measure1(A,B,D,E),A,B,C) ) ) ) ) ) )).
fof(t13_measure2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k1_funct_1(B,k5_numbers) = k1_xboole_0 & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(B,k1_nat_1(C,1)) = k6_subset_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,C)) & r1_tarski(k1_funct_1(A,k1_nat_1(C,1)),k1_funct_1(A,C)) ) ) ) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,1))) ) ) ) ) )).
fof(t13_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & v1_prob_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => r1_xxreal_0(k17_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)),k12_supinf_2(C,k2_measure2(A,B,k1_measure3(A,B,D)))) ) ) ) )).
fof(t13_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( v1_funct_1(k3_measure4(A,B)) & v1_funct_2(k3_measure4(A,B),k1_measure4(A,B),k6_numbers) & v10_valued_0(k3_measure4(A,B)) & v6_supinf_2(k3_measure4(A,B)) & v2_measure1(k3_measure4(A,B),A,k1_measure4(A,B)) & m1_subset_1(k3_measure4(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A,B),k6_numbers))) ) ) )).
fof(t13_measure5,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => r1_xxreal_0(k1_supinf_2,k2_measure5(A)) ) )).
fof(t13_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xxreal_0(B) => ( ? [C] : ( v1_xxreal_0(C) & r1_xxreal_0(C,B) & A = k3_xxreal_1(C,B) ) => B = k8_supinf_2(A) ) ) ) )).
fof(t13_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [B] : ( m2_measure7(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(k7_measure7(A,B),C)) ) ) ) )).
fof(t13_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r1_xxreal_0(k12_supinf_2(k6_measure8(A,B,C),k5_setfam_1(A,k2_relset_1(k9_setfam_1(A),D))),k17_supinf_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),k9_setfam_1(A),k6_numbers,D,k6_measure8(A,B,C)))) ) ) ) )).
fof(t13_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ( r1_tarski(A,B) <=> r1_tarski(k5_member_1(A),k5_member_1(B)) ) ) ) )).
fof(t13_membered,axiom,( ! [A] : ( v1_membered(A) => ( ! [B] : ( v1_xcmplx_0(B) => r2_hidden(B,A) ) => A = k2_numbers ) ) )).
fof(t13_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) ) => k9_xtuple_0(C) = k4_subset_1(u1_struct_0(B),k6_domain_1(u1_struct_0(B),k4_struct_0(B)),k8_struct_0(B)) ) ) ) )).
fof(t13_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( B != C => ( r1_rltopsp1(k15_euclid(2),A,B,C) <=> r2_tarski(A,k5_rltopsp1(k15_euclid(2),B,C)) ) ) ) ) ) )).
fof(t13_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) & ! [F] : ( m1_subset_1(F,B) => ~ ( F = k9_subset_1(A,k1_relset_1(A,D),k1_relset_1(A,E)) & k7_mesfunc5(A,B,C,k4_mesfunc1(A,D,E)) = k3_supinf_2(k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,F)),k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k7_mesfunc1(A,E),F))) ) ) ) ) ) ) ) ) )).
fof(t13_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r1_tarski(B,k1_relset_1(A,k2_valued_1(A,k2_numbers,k2_numbers,C,D))) => ( k1_relset_1(A,k2_valued_1(A,k2_numbers,k2_numbers,k2_partfun1(A,k2_numbers,C,B),k2_partfun1(A,k2_numbers,D,B))) = B & r2_relset_1(A,k2_numbers,k2_partfun1(A,k2_numbers,k2_valued_1(A,k2_numbers,k2_numbers,C,D),B),k2_valued_1(A,k2_numbers,k2_numbers,k2_partfun1(A,k2_numbers,C,B),k2_partfun1(A,k2_numbers,D,B))) ) ) ) ) ) )).
fof(t13_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k7_mesfun7c(A,B))) => k12_supinf_2(k7_mesfun7c(A,B),C) = k5_rinfsup2(k1_mesfunc5(k4_ordinal1,k10_seqfunc(A,B,C))) ) ) ) ) )).
fof(t13_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_mesfunc8(B,A,k1_numbers) & r1_tarski(D,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers))) & r2_tarski(C,D) ) => ( v2_comseq_2(k3_series_1(k10_seqfunc(A,B,C))) <=> v2_comseq_2(k10_seqfunc(A,k2_mesfun9c(A,B),C)) ) ) ) ) ) )).
fof(t13_mesfunc1,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ( ! [B] : ( v1_xreal_0(B) => ~ r1_xxreal_0(B,A) ) => A = k2_supinf_1 ) ) )).
fof(t13_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => r1_xxreal_0(k1_supinf_2,k12_supinf_2(k2_mesfunc2(A,B),C)) ) ) ) )).
fof(t13_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_prob_2(C) & m2_finseq_1(C,B) ) => ? [D] : ( v1_prob_2(D) & m2_finseq_1(D,B) & k3_tarski(k2_relset_1(B,C)) = k3_tarski(k2_relset_1(B,D)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ( k1_funct_1(D,E) != k1_xboole_0 & ? [F] : ( v7_ordinal1(F) & r2_tarski(F,k4_finseq_1(C)) & k1_funct_1(C,F) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(t13_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v2_mesfunc5(B) => v4_mesfunc5(B) ) ) ) )).
fof(t13_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_tarski(D,k1_relset_1(A,C)) => ( r1_mesfunc6(A,B,C,D) <=> ! [E] : ( v1_xreal_0(E) => r2_tarski(k8_subset_1(A,D,k13_mesfunc1(C,E)),B) ) ) ) ) ) ) ) )).
fof(t13_mesfunc7,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k4_mesfunc7(k1_supinf_1,A) = k1_supinf_1 ) ) )).
fof(t13_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers))) => ( v10_mesfunc5(k3_mesfunc5(A,B,C)) <=> k12_supinf_2(k6_mesfunc8(A,B),C) = k12_supinf_2(k5_mesfunc8(A,B),C) ) ) ) ) ) )).
fof(t13_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( D = k1_relset_1(A,E) & r1_mesfunc1(A,B,E,D) & v6_supinf_2(E) ) => ( k12_supinf_2(C,k9_subset_1(A,D,k18_mesfunc1(A,E,k1_supinf_1))) = k5_numbers | k7_mesfunc5(A,B,C,E) = k1_supinf_1 ) ) ) ) ) ) ) )).
fof(t13_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( l1_metric_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,k10_metric_1(B,C,A)) <=> ( ~ v2_struct_0(B) & k1_metric_1(B,C,D) = A ) ) ) ) ) ) )).
fof(t13_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_metric_2(A,B) = k6_domain_1(u1_struct_0(A),B) ) ) )).
fof(t13_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => r1_xxreal_0(k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,k10_metric_3(A,B),C,E),k3_real_1(k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,k10_metric_3(A,B),C,D),k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,k10_metric_3(A,B),D,E))) ) ) ) ) ) )).
fof(t13_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( v2_tbsp_1(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r1_metric_6(A,B,C) & k1_tbsp_1(A,B) = C ) ) ) ) ) )).
fof(t13_metrizts,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ~ ( v1_tops_2(C,B) & m1_setfam_1(C,u1_struct_0(B)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ~ ( r1_tarski(D,C) & m1_setfam_1(D,u1_struct_0(B)) & r1_ordinal1(k1_card_1(D),A) ) ) ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( ( v4_pre_topc(C,B) & v2_tex_2(C,B) ) => r1_ordinal1(k1_card_1(C),A) ) ) ) ) ) )).
fof(t13_mfold_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & v1_mfold_0(A) & l1_pre_topc(A) ) => ~ ( v1_connsp_1(A) & ! [B] : ( v7_ordinal1(B) => ~ v2_mfold_0(A,B) ) ) ) )).
fof(t13_mfold_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v2_mfold_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_connsp_2(D,B,C) & r1_metrizts(B,k15_euclid(A),D,k2_struct_0(k15_euclid(A))) ) ) ) ) ) )).
fof(t13_mfold_2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(k14_rvsum_1(A,B))) => ( k1_funct_1(k14_rvsum_1(A,B),C) = k3_xcmplx_0(k7_partfun1(k1_numbers,A,C),k7_partfun1(k1_numbers,B,C)) & k7_partfun1(k1_numbers,k14_rvsum_1(A,B),C) = k3_xcmplx_0(k7_partfun1(k1_numbers,A,C),k7_partfun1(k1_numbers,B,C)) ) ) ) ) ) )).
fof(t13_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_midsp_1(A,B,C,D,D) => B = C ) ) ) ) ) )).
fof(t13_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_midsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(B)))) ) => ( ( r1_midsp_2(u1_struct_0(A),B,C) & v1_midsp_2(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( k1_midsp_1(A,D,E) = k1_midsp_1(A,F,G) <=> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),C,D,G) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),C,F,E) ) ) ) ) ) ) ) ) ) )).
fof(t13_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_midsp_1(C) & l1_midsp_3(C,k1_nat_1(A,2)) ) => ! [D] : ( ( v4_midsp_2(D,C) & l1_midsp_2(D,C) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(u1_midsp_2(C,D))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(C,D)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(C,D)))) => ( ! [G] : ( m1_midsp_3(G,A) => ( G = B => k5_midsp_3(A,u1_struct_0(u1_midsp_2(C,D)),k1_midsp_3(u1_struct_0(u1_midsp_2(C,D)),k1_nat_1(A,1),F,B,E),G) = E ) ) & ! [G] : ( m1_midsp_3(G,A) => ! [H] : ( m1_midsp_3(H,A) => ( G != H => k5_midsp_3(A,u1_struct_0(u1_midsp_2(C,D)),k1_midsp_3(u1_struct_0(u1_midsp_2(C,D)),k1_nat_1(A,1),F,H,E),G) = k5_midsp_3(A,u1_struct_0(u1_midsp_2(C,D)),F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v6_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r2_relset_1(A,A,k2_mmlquer2(A,B,C),B) ) ) )).
fof(t13_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(F,G) & r1_tarski(B,C) & r1_relset_1(A,A,D,E) ) => r1_tarski(k12_mmlquery(A,B,D,G),k12_mmlquery(A,C,E,F)) ) ) ) ) ) ) ) )).
fof(t13_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( m1_mod_2(E,A,C,D) => ! [F] : ( m1_mod_2(F,A,B,C) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( E = g1_mod_2(A,C,D,G) & F = g1_mod_2(A,B,C,H) ) => ( k9_mod_2(A,B,C,D,E,F) = g1_mod_2(A,B,D,k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),H,G)) & k8_mod_2(A,E,F) = g1_mod_2(A,B,D,k1_partfun1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(C),u1_struct_0(D),H,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => m1_vectsp_4(k1_vectsp_7(A,B,k9_subset_1(u1_struct_0(B),C,D)),A,k2_vectsp_5(A,B,k1_vectsp_7(A,B,C),k1_vectsp_7(A,B,D))) ) ) ) ) )).
fof(t13_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_vectsp_2(D,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( ( D = k3_mod_4(A,C) & E = G & F = H ) => k1_algstr_0(D,G,H) = k1_algstr_0(C,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t13_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,A) => ! [D] : ( m1_trees_1(D,k5_trees_1(A,C,B)) => ! [E] : ( m1_trees_1(E,A) => ( ( D = E & r2_xboole_0(E,C) ) => k1_trees_2(k5_trees_1(A,C,B),D) = k1_trees_2(A,E) ) ) ) ) ) ) ) )).
fof(t13_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,D))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k48_modelc_1(A,B,D))) => ( r3_modelc_1(A,B,D,C,k2_lattices(k48_modelc_1(A,B,D),E,F)) <=> ( r3_modelc_1(A,B,D,C,E) & r3_modelc_1(A,B,D,C,F) ) ) ) ) ) ) ) ) )).
fof(t13_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r1_modelc_2(B,k3_modelc_2(A)) <=> B = A ) ) ) )).
fof(t13_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => k18_modelc_3(A,k7_modelc_3(A)) = k5_numbers ) )).
fof(t13_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( r1_nat_d(B,A) => a_2_0_moebius1(A,B) = a_2_1_moebius1(A,B) ) ) ) )).
fof(t13_moebius2,axiom,( k9_newton(6) = k1_enumset1(2,3,5) )).
fof(t13_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v16_monoid_0(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( k6_algstr_0(A,B,C) = k6_algstr_0(A,B,D) | k6_algstr_0(A,C,B) = k6_algstr_0(A,D,B) ) => C = D ) ) ) ) ) ) )).
fof(t13_monoid_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v8_monoid_0(C,B) => v8_monoid_0(k8_monoid_1(B,B,B,C,A),k9_funct_2(A,B)) ) ) ) )).
fof(t13_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_morph_01(A,C,k5_setfam_1(u1_struct_0(A),B)) = k3_tarski(a_3_6_morph_01(A,B,C)) ) ) ) )).
fof(t13_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_msafree(A,B,C) = a_3_1_msafree(A,B,C) ) ) ) )).
fof(t13_msafree3,axiom,( ! [A] : ! [B] : ! [C] : ( l1_msualg_1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(C)) ) => ! [E] : ( r2_tarski(E,u1_struct_0(C)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v6_trees_3(F) ) => ( r2_tarski(A,k1_funct_1(k3_msafree3(C,D,k4_trees_4(k4_tarski(B,u1_struct_0(C)),F)),E)) <=> ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v3_trees_2(G) & r2_tarski(G,k10_xtuple_0(F)) & r2_tarski(A,k1_funct_1(k3_msafree3(C,D,G),E)) ) ) ) ) ) ) )).
fof(t13_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( r2_tarski(D,k3_msualg_1(A,C,k1_msafree3(A,B))) => k1_funct_1(k5_msualg_1(A,C,k1_msafree3(A,B)),D) = k4_trees_4(k4_tarski(C,u1_struct_0(A)),D) ) ) ) ) ) )).
fof(t13_msafree5,axiom,( ! [A] : ( v3_finseq_1(A) => ! [B] : ( v3_finseq_1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r1_tarski(A,B) <=> r1_tarski(k2_msafree5(A,C),k2_msafree5(B,C)) ) ) ) ) )).
fof(t13_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k1_msaterm(A,B) = k3_card_3(k8_msafree(A,B)) ) ) )).
fof(t13_msscyc_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_graph_1(C) ) => ! [D] : ( ( v7_graph_1(D,C) & m1_graph_1(D,C) ) => ! [E] : ( ( v7_graph_1(E,C) & m1_graph_1(E,C) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) & r1_xxreal_0(B,k3_finseq_1(D)) & E = k1_graph_2(D,A,B) ) => k7_graph_2(C,E) = k2_graph_2(u1_struct_0(C),k7_graph_2(C,D),A,k1_nat_1(B,1)) ) ) ) ) ) ) )).
fof(t13_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_hidden(B,A) & D = k1_funct_1(C,B) ) => k1_funct_1(k2_funct_6(C),B) = k10_xtuple_0(D) ) ) ) )).
fof(t13_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_msualg_2(k9_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)) => m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(B))) ) ) ) )).
fof(t13_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( r2_tarski(D,k5_msualg_2(A,B,C)) <=> ( v3_msualg_2(D,A,B) & r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),D) & r2_pboole(u1_struct_0(A),C,D) ) ) ) ) ) ) )).
fof(t13_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r4_msualg_3(A,B,C,D) <=> ( r1_msualg_3(A,B,C,D) & v2_msualg_3(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) & v1_msualg_3(D) ) ) ) ) ) ) )).
fof(t13_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v2_msualg_4(D,A,B) & v3_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [F] : ( ( v2_msualg_4(F,A,B) & m1_msualg_4(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( r8_pboole(u1_struct_0(A),F,k4_msualg_5(u1_struct_0(A),u3_msualg_1(A,B),D,E)) => ! [G] : ! [H] : ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( ( v1_relat_1(J) & v1_funct_1(J) & v1_finseq_1(J) ) => ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ! [L] : ( ( v1_relat_1(L) & v1_funct_1(L) & v1_finseq_1(L) ) => ( ( k3_finseq_1(J) = I & k3_finseq_1(J) = k3_finseq_1(K) & ! [M] : ( m1_subset_1(M,k4_ordinal1) => ( r2_tarski(M,k4_finseq_1(J)) => r2_hidden(k4_tarski(k1_funct_1(J,M),k1_funct_1(K,M)),k2_msualg_4(A,B,F,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),M))) ) ) & r2_hidden(k4_tarski(k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(k7_finseq_1(J,k9_finseq_1(G)),L)),k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(k7_finseq_1(K,k9_finseq_1(G)),L))),k2_msualg_4(A,B,F,k2_msualg_1(A,C))) & r2_hidden(k4_tarski(G,H),k2_msualg_4(A,B,F,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),k1_nat_1(I,1)))) ) => ! [M] : ( m1_subset_1(M,k3_msualg_1(A,C,B)) => ( M = k7_finseq_1(k7_finseq_1(J,k9_finseq_1(G)),L) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),M),k1_funct_1(k5_msualg_1(A,C,B),k7_finseq_1(k7_finseq_1(K,k9_finseq_1(H)),L))),k2_msualg_4(A,B,F,k2_msualg_1(A,C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ~ ( r2_hidden(k4_tarski(B,C),k3_msualg_6(A)) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ~ r1_msualg_6(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t13_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( D = E => ( r4_lattice3(A,D,C) <=> r4_lattice3(B,E,C) ) ) ) ) ) ) ) )).
fof(t13_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))))) => r8_pboole(u1_struct_0(A),k1_msualg_8(A,B,k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C)),k2_msualg_8(A,B,C)) ) ) ) )).
fof(t13_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ( ! [E] : k1_funct_1(k12_card_3(u3_msualg_1(A,B),E),C) = k1_funct_1(k12_card_3(u3_msualg_1(A,B),E),D) => r8_pboole(u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(t13_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k6_msualg_1(A))) => m5_margrel1(k5_msualg_1(k6_msualg_1(A),B,k9_msualg_1(A)),u1_struct_0(A),k1_unialg_2(A)) ) ) )).
fof(t13_mycielsk,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_orders_2(A) ) => r1_xxreal_0(k2_mycielsk(A),k4_card_1(u1_struct_0(A))) ) )).
fof(t13_nagata_1,axiom,( ! [A] : ( ~ v4_card_3(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k1_compts_1(k2_zfmisc_1(A,A)))))) & v1_pcomps_1(B,k1_compts_1(k2_zfmisc_1(A,A))) & ~ v4_nagata_1(B,k1_compts_1(k2_zfmisc_1(A,A))) ) ) )).
fof(t13_nagata_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k9_complex1(k8_nat_1(k1_numbers,k3_series_1(A),B)),k8_nat_1(k1_numbers,k3_series_1(k56_valued_1(k4_ordinal1,k1_numbers,A)),B)) ) ) )).
fof(t13_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k1_nat_1(B,1),A) <=> r1_xxreal_0(A,B) ) ) ) )).
fof(t13_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(1,k3_nat_d(B,A)) ) ) ) ) )).
fof(t13_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_1(C,k1_numbers) => k1_nat_3(k7_finseq_1(C,k9_finseq_1(B)),A) = k7_finseq_1(k2_nat_3(C,A),k1_nat_3(k9_finseq_1(B),A)) ) ) ) )).
fof(t13_nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_nat_d(A,B) & ~ r1_xxreal_0(A,1) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_nat_d(C,B) & r1_xxreal_0(C,A) & v1_int_2(C) ) ) ) ) ) )).
fof(t13_nat_5,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => m2_finseq_1(A,k1_numbers) ) )).
fof(t13_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_int_1(B) => ~ ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,k6_xcmplx_0(A,1)) & r2_int_1(B,C,A) ) ) ) ) )).
fof(t13_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k2_nat_d(k3_xcmplx_0(A,B),A) = k5_numbers ) ) )).
fof(t13_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => k1_lattices(k10_nat_lat,A,B) = k5_nat_d(k11_nat_lat(A),k11_nat_lat(B)) ) ) )).
fof(t13_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( k2_cat_1(A,D,E) != k1_xboole_0 & k2_cat_1(A,E,F) != k1_xboole_0 & ~ ! [G] : ( m1_cat_1(G,A,D,E) => ! [H] : ( m1_cat_1(H,A,E,F) => k9_cat_3(A,D,F,B,C,k5_cat_1(A,D,E,F,G,H)) = k5_cat_1(B,k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E),k8_cat_1(A,B,C,F),k9_cat_3(A,D,E,B,C,G),k9_cat_3(A,E,F,B,C,H)) ) ) ) ) ) ) ) ) ) )).
fof(t13_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ? [B] : ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))) & v2_vectsp_7(B,k2_bspace,k5_nbvectsp(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))) & k4_card_1(B) = A & ? [C] : ( m2_finseq_1(C,k4_finseq_2(A,k5_margrel1)) & k3_finseq_1(C) = A & v2_funct_1(C) & k4_card_1(k2_relset_1(k4_finseq_2(A,k5_margrel1),C)) = A & k2_relset_1(k4_finseq_2(A,k5_margrel1),C) = B & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(A)) & r2_tarski(E,k2_finseq_1(A)) ) => ( ( D = E => k1_funct_1(k1_funct_1(C,D),E) = k7_margrel1 ) & ( D != E => k1_funct_1(k1_funct_1(C,D),E) = k6_margrel1 ) ) ) ) ) ) ) ) )).
fof(t13_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r6_ncfcont1(A,B,C) <=> ( r2_tarski(C,k1_relset_1(u1_struct_0(A),B)) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,k1_relset_1(u1_struct_0(A),B)) & ~ r1_xxreal_0(E,k2_normsp_0(A,k5_algstr_0(A,F,C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k7_partfun1(k2_numbers,B,F),k7_partfun1(k2_numbers,B,C)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r1_ncfcont2(A,B,C,D) => r1_ncfcont2(A,B,C,k5_vfunct_1(u1_struct_0(B),C,D)) ) ) ) ) )).
fof(t13_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_comseq_2(B) & v3_normsp_1(C,A) ) => v3_normsp_1(k1_ndiff_1(A,C,B),A) ) ) ) ) )).
fof(t13_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & l1_normsp_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_ndiff_1(A,B,E,C) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( r1_ndiff_1(B,D,F,k7_partfun1(u1_struct_0(B),E,C)) => ( r1_ndiff_1(A,D,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(D),E,F),C) & k3_ndiff_1(A,D,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(D),E,F),C) = k2_ndiff_2(A,B,D,k3_ndiff_1(A,B,E,C),k3_ndiff_1(B,D,F,k7_partfun1(u1_struct_0(B),E,C))) ) ) ) ) ) ) ) ) ) )).
fof(t13_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_rcomp_1(D,C) => ( ( r1_ndiff_3(A,B,C) & r1_tarski(D,k1_relset_1(k1_numbers,B)) ) => ! [E] : ( ( v9_ordinal1(E) & v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & v1_fdiff_1(E,k5_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v3_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,F) = k1_tarski(C) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,E,F)),D) ) => ( v3_normsp_1(k1_ndiff_1(A,k2_normsp_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,E,F),B),k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,F,B)),k37_valued_1(k4_ordinal1,k1_numbers,E)),A) & k1_ndiff_3(A,B,C) = k5_normsp_1(A,k1_ndiff_1(A,k2_normsp_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,E,F),B),k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,F,B)),k37_valued_1(k4_ordinal1,k1_numbers,E))) ) ) ) ) ) ) ) ) ) )).
fof(t13_ndiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,D)) & r2_ndiff_4(B,D,C) ) => ( r2_ndiff_4(B,k9_integr15(B,A,k1_numbers,D),C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(k2_ndiff_4(B,k9_integr15(B,A,k1_numbers,D),C),E) = k9_euclid(B,k1_ndiff_4(B,D,E),A) ) ) ) ) ) ) ) ) )).
fof(t13_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_prvect_2(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(k4_prvect_2(A))) => ! [E] : ( m1_subset_1(E,k4_card_3(k4_prvect_2(A))) => ( B = E => ( k1_rlvect_1(k14_prvect_2(A),B,C) = D <=> ! [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(A)) => k1_ndiff_5(A,D,F) = k1_rlvect_1(k3_prvect_2(A,F),k1_ndiff_5(A,E,F),C) ) ) ) ) ) ) ) ) )).
fof(t13_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v7_ordinal1(E) => k6_ndiff_6(A,B,C,D,k2_xcmplx_0(E,1)) = k4_ndiff_1(A,k3_ndiff_6(A,B,E),k6_ndiff_6(A,B,C,D,E),D) ) ) ) ) ) )).
fof(t13_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) & v1_mazurulm(C,A,B) ) => ( v3_nfcont_1(D,A) <=> v3_nfcont_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(t13_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => r1_xboole_0(k6_partfun1(u1_struct_0(A)),u1_orders_2(k3_necklace(A))) ) )).
fof(t13_necklace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ( ( r3_necklace(A,B) & r3_necklace(B,C) ) => r3_necklace(A,C) ) ) ) ) )).
fof(t13_net_1,axiom,( ! [A] : ! [B] : ( ( v1_net_1(B) & l1_petri(B) ) => ! [C] : ( m1_subset_1(C,k2_net_1(B)) => ( r2_tarski(C,u4_struct_0(B)) => ( r2_tarski(A,k3_net_1(B,C)) <=> r1_net_1(B,C,A) ) ) ) ) )).
fof(t13_newton,axiom,( k2_newton(1) = 1 )).
fof(t13_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k1_newton(B,k2_xcmplx_0(A,1)),k1_newton(C,k2_xcmplx_0(A,1))) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(B,A),k1_newton(C,A)),k6_xcmplx_0(B,C)),k3_xcmplx_0(k2_xcmplx_0(B,C),k6_xcmplx_0(k1_newton(B,A),k1_newton(C,A)))),2) ) ) ) )).
fof(t13_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( r1_tarski(k2_relset_1(u1_struct_0(A),D),k1_relset_1(u1_struct_0(A),C)) => r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,k4_vfunct_1(u1_struct_0(A),B,C,E)),k4_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C),E)) ) ) ) ) ) ) )).
fof(t13_nfcont_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( r1_tarski(A,k1_relset_1(u1_struct_0(B),D)) & v3_funct_1(k2_partfun1(u1_struct_0(B),u1_struct_0(C),D,A)) ) => r1_nfcont_2(A,B,C,D) ) ) ) ) )).
fof(t13_nfcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( r1_nfcont_3(C,D,B) => r1_nfcont_3(C,k4_vfunct_1(k1_numbers,C,D,A),B) ) ) ) ) ) )).
fof(t13_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ? [D] : ( m1_rcomp_1(D,B) & k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),D) = k1_tarski(B) ) => r1_nfcont_4(A,C,B) ) ) ) ) )).
fof(t13_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => k1_normform(A,B,k3_normform(A,B,C,D),D) = k1_normform(A,B,C,D) ) ) ) ) )).
fof(t13_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & k10_xtuple_0(C) = k6_domain_1(u1_struct_0(A),B) ) ) ) )).
fof(t13_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k3_normsp_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_normsp_2(A))))) ) => ( r1_funct_2(k4_ordinal1,u1_struct_0(A),k4_ordinal1,u1_struct_0(k3_normsp_2(A)),B,C) => ( v2_frechet(C,k3_normsp_2(A)) <=> v3_normsp_1(B,A) ) ) ) ) ) )).
fof(t13_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => v1_rlsub_1(k1_normsp_3(A,C),A) ) ) ) ) )).
fof(t13_ntalgo_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ( k3_finseq_1(A) = 1 => k19_rvsum_1(A) = k1_funct_1(A,1) ) ) )).
fof(t13_numbers,axiom,( r1_tarski(k3_numbers,k2_numbers) )).
fof(t13_numeral2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_afinsq_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,A,k4_fib_num2)))) => k1_recdef_1(k4_afinsq_2(k9_subset_1(k4_ordinal1,A,k4_fib_num2)),B) = k1_nat_1(k3_xcmplx_0(2,B),1) ) ) ) )).
fof(t13_numpoly1,axiom,( k1_numpoly1(3) = 6 )).
fof(t13_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_o_ring_1(B,A) & v7_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t13_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( r2_tarski(B,k9_openlatt(A)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B = k1_funct_1(k8_openlatt(A),C) ) ) ) )).
fof(t13_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_oposet_1(A) & l2_qmax_1(A) ) => ( v5_orders_2(A) => v6_oposet_1(A) ) ) )).
fof(t13_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_oppcat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_oppcat_1(A))) => ( k2_cat_1(k2_oppcat_1(A),B,C) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,k2_oppcat_1(A),B,C) => ( k4_oppcat_1(A,k3_graph_1(k2_oppcat_1(A),D)) = k4_graph_1(A,k6_oppcat_1(A,D)) & k4_oppcat_1(A,k4_graph_1(k2_oppcat_1(A),D)) = k3_graph_1(A,k6_oppcat_1(A,D)) ) ) ) ) ) ) )).
fof(t13_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_nfcont_3(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( k1_relset_1(k1_numbers,C) = A => r2_relset_1(k1_numbers,u1_struct_0(B),k4_ordeq_01(A,B,C),C) ) ) ) ) )).
fof(t13_ordeq_02,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & v3_lopban_1(D) & l1_normsp_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(D)))) ) => ( ( r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,F)) & r1_tarski(k2_rcomp_1(A,B),k1_relset_1(k1_numbers,E)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k2_rcomp_1(A,B)) => k7_partfun1(u1_struct_0(D),E,G) = k6_integr18(D,F,A,G) ) ) & r2_hidden(C,k2_rcomp_1(A,B)) & r1_nfcont_3(D,F,C) ) => ( r1_ndiff_3(D,E,C) & k1_ndiff_3(D,E,C) = k7_partfun1(u1_struct_0(D),F,C) ) ) ) ) ) ) ) ) )).
fof(t13_orders_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r1_relat_2(B,A) => ( k1_relset_1(A,B) = A & k1_relat_1(B) = A ) ) ) )).
fof(t13_orders_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_wellord1(u1_orders_2(A),B) => ( v6_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t13_ordinal1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r2_hidden(A,B) => v3_ordinal1(A) ) ) )).
fof(t13_ordinal2,axiom,( ! [A] : ( ! [B] : ( r2_hidden(B,A) => v3_ordinal1(B) ) => v3_ordinal1(k1_setfam_1(A)) ) )).
fof(t13_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( k3_xboole_0(A,B) = A | k3_xboole_0(A,B) = B ) ) ) )).
fof(t13_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ~ ( v2_ordinal2(A) & v2_ordinal2(B) & ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ~ ( C = k3_relat_1(B,A) & v2_ordinal2(C) ) ) ) ) ) )).
fof(t13_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => k1_ordinal5(A,k5_numbers) = 1 ) )).
fof(t13_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( v2_ordinal5(B) => v2_ordinal5(k5_relat_1(B,A)) ) ) ) )).
fof(t13_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => k1_ortsp_1(A,B,C,D,k3_rlvect_1(B,E,F)) = k3_rlvect_1(A,k1_ortsp_1(A,B,C,D,E),k1_ortsp_1(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(t13_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( r2_tarski(D,k3_msualg_1(A,C,k8_osafree(A,B))) <=> ( m1_trees_4(D,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,C),k15_trees_3(D)) ) ) ) ) ) ) )).
fof(t13_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( ( r3_osalg_1(A,B,C,E) & r3_osalg_1(A,B,D,E) ) => C = D ) ) ) ) ) ) )).
fof(t13_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v12_osalg_1(C,A) & m1_msualg_2(C,A,B) ) => m2_osalg_2(k3_osalg_2(A,B),A,C) ) ) ) )).
fof(t13_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( v1_osalg_3(D,A) & r1_msualg_3(A,B,C,D) ) => ( v12_osalg_1(k6_msualg_3(A,B,C,D),A) & v12_osalg_1(k6_msualg_3(A,B,C,D),A) & v13_osalg_1(k6_msualg_3(A,B,C,D),A) & l3_msualg_1(k6_msualg_3(A,B,C,D),A) ) ) ) ) ) ) )).
fof(t13_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),D)) => ( r3_orders_2(A,D,E) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ( G = F => k8_osalg_4(A,B,C,D,F) = k8_osalg_4(A,B,C,E,G) ) ) ) ) ) ) ) ) ) )).
fof(t13_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v7_struct_0(B) & v2_analoaf(B) & l1_analoaf(B) ) => ( B = k2_analoaf(A) => v2_aff_2(k2_diraf(B)) ) ) ) )).
fof(t13_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A))) => r1_parsp_1(k9_parsp_1(A),B,C,C,B) ) ) ) )).
fof(t13_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_parsp_2(A,B,C,D) & r1_parsp_2(A,B,C,E) & r1_parsp_2(A,B,C,F) ) => ( B = C | r1_parsp_2(A,D,E,F) ) ) ) ) ) ) ) ) )).
fof(t13_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(k6_relset_1(A,B,C,D)) & m1_subset_1(k6_relset_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(t13_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v2_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_tarski(C,k2_relset_1(B,D)) => ( C = k7_partfun1(B,D,k7_partfun1(A,k2_partfun2(A,B,D),C)) & C = k7_partfun1(B,k1_partfun1(B,A,A,B,k2_partfun2(A,B,D),D),C) ) ) ) ) ) ) )).
fof(t13_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => k2_partit1(A,B,B) = B ) ) )).
fof(t13_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => ( r1_bvfunc_1(A,B,C) => r1_bvfunc_1(A,k7_bvfunc_2(A,B,D,E),k7_bvfunc_2(A,C,D,E)) ) ) ) ) ) ) )).
fof(t13_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_analoaf(A,F,B,F,D) & r2_analoaf(A,F,C,F,E) & r2_diraf(A,B,C,D,E) ) => ( r3_diraf(A,F,B,C) | r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t13_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r2_pboole(A,B,C) & r2_pboole(A,C,D) ) => r2_pboole(A,B,D) ) ) ) ) )).
fof(t13_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),B) => k1_pcomps_1(A,C) = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k2_pre_topc(A,B)) ) ) ) ) )).
fof(t13_pcs_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v16_pcs_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_pcs_0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_pcs_0(A,B))) => ( r1_pcs_0(k17_pcs_0(A,B),C,D) <=> ? [E] : ( m1_subset_1(E,A) & ? [F] : ( m1_subset_1(F,u1_struct_0(k15_pcs_0(A,B,E))) & ? [G] : ( m1_subset_1(G,u1_struct_0(k15_pcs_0(A,B,E))) & F = C & G = D & r1_pcs_0(k15_pcs_0(A,B,E),F,G) ) ) ) ) ) ) ) ) )).
fof(t13_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1))))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( ( C = k3_pdiff_1(A,D) & E = F ) => k2_pdiff_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,F),D)) = k1_partfun1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k7_pdiff_1(A,B,E),C) ) ) ) ) ) ) ) )).
fof(t13_pdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(2)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( C = k10_finseq_1(A,B) & r3_pdiff_1(2,1,D,C) ) => k10_pdiff_1(2,1,D,C) = k1_fdiff_1(k1_pdiff_2(2,1,D,C),A) ) ) ) ) ) )).
fof(t13_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r1_pdiff_3(B,A) => k2_pdiff_3(B,A) = k10_pdiff_1(2,1,k1_pdiff_3(1,2,B),A) ) ) ) )).
fof(t13_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r3_pdiff_1(3,1,A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,C) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,A,B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,A,B),I),k1_funct_1(k1_pdiff_2(3,1,A,B),C)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,C)),k1_funct_1(H,k6_xcmplx_0(I,C))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r4_pdiff_5(E,D) ) => k4_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,1,k1_pdiff_3(2,3,E),D),A) ) ) ) ) ) ) )).
fof(t13_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))))) ) => ( r1_funct_2(k1_euclid(B),k1_euclid(A),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A)),C,D) => ( v2_pdiff_6(C,A,B) <=> v1_lopban_1(D,k4_real_ns1(B),k4_real_ns1(A)) ) ) ) ) ) ) )).
fof(t13_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,D,k5_euclid(A)),k3_real_1(B,C)) = k7_euclid(A,k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,D,k5_euclid(A)),B),k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,D,k5_euclid(A)),C)) ) ) ) ) ) )).
fof(t13_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ( ( E = k3_relat_1(C,k4_pdiff_1(D,B)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) ) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),E),k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),C)) ) ) ) ) ) ) )).
fof(t13_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( r1_pdiff_6(C,B,A,D) => v1_pdiff_7(C,A) ) ) ) ) ) )).
fof(t13_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( r1_ordinal1(2,k1_card_1(k4_card_3(B))) <=> ( v2_relat_1(B) & ~ v13_pencil_1(B) ) ) ) ) )).
fof(t13_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_funct_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B)) & v1_funct_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),A,A) & m1_subset_1(k2_tops_2(u1_struct_0(A),u1_struct_0(A),B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(t13_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_pencil_1(A,B,C))) => ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => ( C != k3_pencil_1(A,E) => ( ~ v13_pencil_1(k1_funct_7(E,C,k6_domain_1(u1_struct_0(k2_pencil_1(A,B,C)),D))) & v16_pencil_1(k1_funct_7(E,C,k6_domain_1(u1_struct_0(k2_pencil_1(A,B,C)),D)),A) & m3_pboole(k1_funct_7(E,C,k6_domain_1(u1_struct_0(k2_pencil_1(A,B,C)),D)),A,k12_pralg_1(A,B)) ) ) ) ) ) ) ) )).
fof(t13_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ~ r1_struct_0(C,D) => k1_vectsp_9(A,k1_vectsp_5(A,B,C,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),D)))) = k1_nat_1(k1_vectsp_9(A,C),1) ) ) ) ) ) )).
fof(t13_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( A != k5_numbers => k4_nat_d(k1_square_1(A),k1_nat_1(A,1)) = 1 ) ) )).
fof(t13_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => k11_petri(k11_petri(A)) = g1_petri(u1_struct_0(A),u4_struct_0(A),u1_petri(A),u2_petri(A)) ) )).
fof(t13_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u4_struct_0(A)) => r2_relset_1(u1_struct_0(A),k4_ordinal1,k7_petri_df(A,B,k8_finseq_1(u4_struct_0(A),C,D)),k7_petri_df(A,k7_petri_df(A,B,C),D)) ) ) ) ) )).
fof(t13_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r2_pnproc_1(A,B,C) => r2_pnproc_1(A,k3_pnproc_1(A,C,B),C) ) ) ) )).
fof(t13_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_polyalg1(B,A) => ! [C] : ( l1_polyalg1(C,A) => ( ( m1_polyalg1(B,A,C) & m1_polyalg1(C,A,B) ) => g1_polyalg1(A,u1_struct_0(B),u1_algstr_0(B),u2_algstr_0(B),u2_struct_0(B),u3_struct_0(B),u1_vectsp_1(A,B)) = g1_polyalg1(A,u1_struct_0(C),u1_algstr_0(C),u2_algstr_0(C),u2_struct_0(C),u3_struct_0(C),u1_vectsp_1(A,C)) ) ) ) ) )).
fof(t13_polyeq_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ! [D] : ( v1_xreal_0(D) => k2_xcmplx_0(k1_newton(D,4),k1_newton(A,4)) = k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,A),D),k2_xcmplx_0(k1_square_1(D),k1_square_1(A))) ) => ( A = k5_numbers | k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k1_newton(C,4),k3_xcmplx_0(B,k1_newton(C,3))),k3_xcmplx_0(B,C)),1) = k5_numbers ) ) ) ) ) )).
fof(t13_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( ( k4_complex1(D) = k5_numbers & k4_polyeq_1(A,k5_numbers,B,C,D) = k5_numbers ) => ( A = k5_numbers | ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( k3_complex1(D) = k2_xcmplx_0(E,F) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,F),E),k7_xcmplx_0(B,A)) = k5_numbers & D != k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,A))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,k1_square_1(A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3))))),k1_power(3,k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,A))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,k1_square_1(A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)))))) & D != k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,A))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,k1_square_1(A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3))))),k1_power(3,k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,A))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,k1_square_1(A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)))))) & D != k2_xcmplx_0(k1_power(3,k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,A))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,k1_square_1(A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3))))),k1_power(3,k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,A))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,k1_square_1(A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)))))) ) ) ) ) ) ) ) ) ) )).
fof(t13_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k1_polyeq_4(B,C,D,D,C,B,A) = k5_numbers => ( B = k5_numbers | r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C),k3_xcmplx_0(k3_xcmplx_0(2,B),C)),k3_xcmplx_0(5,k1_square_1(B))),k3_xcmplx_0(k3_xcmplx_0(4,B),D)),k5_numbers) | ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( E = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(B,C),k3_square_1(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C),k3_xcmplx_0(k3_xcmplx_0(2,B),C)),k3_xcmplx_0(5,k1_square_1(B))),k3_xcmplx_0(k3_xcmplx_0(4,B),D)))),k3_xcmplx_0(2,B)) & F = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(B,C),k3_square_1(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C),k3_xcmplx_0(k3_xcmplx_0(2,B),C)),k3_xcmplx_0(5,k1_square_1(B))),k3_xcmplx_0(k3_xcmplx_0(4,B),D)))),k3_xcmplx_0(2,B)) & A != k4_xcmplx_0(1) & A != k7_xcmplx_0(k2_xcmplx_0(E,k3_square_1(k1_quin_1(1,k4_xcmplx_0(E),1))),2) & A != k7_xcmplx_0(k2_xcmplx_0(F,k3_square_1(k1_quin_1(1,k4_xcmplx_0(F),1))),2) & A != k7_xcmplx_0(k6_xcmplx_0(E,k3_square_1(k1_quin_1(1,k4_xcmplx_0(E),1))),2) & A != k7_xcmplx_0(k6_xcmplx_0(F,k3_square_1(k1_quin_1(1,k4_xcmplx_0(F),1))),2) ) ) ) ) ) ) ) ) ) )).
fof(t13_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ( ( A = k6_xcmplx_0(E,k7_xcmplx_0(D,3)) & F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,C),k1_newton(D,2)),9) & G = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,D),C),k3_xcmplx_0(2,k1_newton(D,3))),k3_xcmplx_0(27,B)),54) ) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> k6_xcmplx_0(k2_xcmplx_0(k1_newton(E,3),k3_xcmplx_0(k3_xcmplx_0(3,F),E)),k3_xcmplx_0(2,G)) = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(t13_polyform,axiom,( k1_newton(k4_xcmplx_0(1),2) = 1 )).
fof(t13_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k4_rlvect_1(A,k1_polynom1(A,C,B)) = k6_algstr_0(A,k4_rlvect_1(A,C),B) ) ) ) )).
fof(t13_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k1_funct_1(k6_polynom3(2,A),1) = k2_polynom3(k4_ordinal1,k5_numbers,A) ) )).
fof(t13_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_polynom4(A,k9_polynom3(A)),k9_polynom3(A)) ) )).
fof(t13_polynom5,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( k2_polynom5(k8_finseq_1(u1_struct_0(k1_complfld),A,k12_finseq_1(u1_struct_0(k1_complfld),B))) = k7_finseq_1(k2_polynom5(A),k9_finseq_1(k9_complex1(B))) & k2_polynom5(k8_finseq_1(u1_struct_0(k1_complfld),k12_finseq_1(u1_struct_0(k1_complfld),B),A)) = k7_finseq_1(k9_finseq_1(k9_complex1(B)),k2_polynom5(A)) ) ) ) )).
fof(t13_polynom6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) => ! [D] : ( m2_subset_1(D,k14_pre_poly(A),k15_pre_poly(A)) => ! [E] : ( m2_subset_1(E,k14_pre_poly(A),k15_pre_poly(A)) => ! [F] : ( m2_subset_1(F,k14_pre_poly(B),k15_pre_poly(B)) => ! [G] : ( m2_subset_1(G,k14_pre_poly(B),k15_pre_poly(B)) => ! [H] : ( m2_subset_1(H,k14_pre_poly(B),k15_pre_poly(B)) => ( ( r6_pboole(A,E,k12_pre_poly(A,D,C)) & r6_pboole(B,H,k12_pre_poly(B,G,F)) ) => r6_pboole(k10_ordinal2(A,B),k12_pre_poly(k10_ordinal2(A,B),k1_polynom6(A,B,D,G),k1_polynom6(A,B,C,F)),k1_polynom6(A,B,E,H)) ) ) ) ) ) ) ) ) ) )).
fof(t13_polynom7,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k1_polynom7(A,B,C,D),E) = k6_algstr_0(B,C,k1_polynom2(A,D,B,E)) ) ) ) ) ) )).
fof(t13_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_polynom8(A,B,k5_numbers) = k5_struct_0(A) ) ) )).
fof(t13_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & l2_struct_0(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(D)))) ) => k4_polynom1(A,D,k1_polyred(A,B,D,E),k11_pre_poly(A,C,B)) = k4_polynom1(A,D,E,C) ) ) ) ) ) )).
fof(t13_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_subset_1(A,u1_struct_0(k4_poset_2(A))) ) )).
fof(t13_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(1,C) ) | ( B != k5_numbers & ~ v1_abian(C) ) ) => k1_power(C,k7_xcmplx_0(A,B)) = k7_xcmplx_0(k1_power(C,A),k1_power(C,B)) ) ) ) ) )).
fof(t13_pralg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,B,C)) => ! [G] : ( r2_tarski(G,k1_relset_1(k4_ordinal1,k1_msualg_1(A,B))) => k1_funct_1(k5_msualg_3(A,C,D,B,E,F),G) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D),E,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,B),G)),k1_funct_1(F,G)) ) ) ) ) ) ) ) )).
fof(t13_pre_circ,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) => r2_tarski(k9_finseq_1(B),k11_trees_3(k1_funct_6(A))) ) ) ) )).
fof(t13_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k1_int_1(k3_power(2,k3_xcmplx_0(2,A))) = k1_int_1(k3_power(2,k1_nat_1(k3_xcmplx_0(2,A),1))) ) ) )).
fof(t13_pre_poly,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k3_finseq_1(B) = k1_nat_1(A,1) => B = k7_finseq_1(k2_finseq_3(k3_finseq_1(B),B),k9_finseq_1(k1_funct_1(B,k3_finseq_1(B)))) ) ) ) )).
fof(t13_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v4_pre_topc(C,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(D,A) & k9_subset_1(u1_struct_0(B),D,k2_struct_0(B)) = C ) ) ) ) ) )).
fof(t13_prefer_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_xboole_0(A,B) => r1_xboole_0(k2_relat_1(A),k2_relat_1(B)) ) ) ) )).
fof(t13_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_prelamb(A,k12_finseq_1(u1_struct_0(A),B),k2_prelamb(A,C,k1_prelamb(A,B,C))) & r2_prelamb(A,k12_finseq_1(u1_struct_0(A),B),k1_prelamb(A,k2_prelamb(A,C,B),C)) ) ) ) ) )).
fof(t13_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(2,B) & r1_xxreal_0(k1_newton(A,B),A) ) ) ) )).
fof(t13_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( r2_hidden(C,k3_prob_1(A,B)) <=> ! [D] : ( v7_ordinal1(D) => r2_hidden(C,k8_nat_1(k9_setfam_1(A),B,D)) ) ) ) )).
fof(t13_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m2_prob_1(E,A,B) => ( r1_xxreal_0(k3_funct_2(B,k1_numbers,E,k5_prob_1(A,B,C,D)),k3_funct_2(B,k1_numbers,E,D)) & r1_xxreal_0(k3_funct_2(B,k1_numbers,E,k5_prob_1(A,B,C,D)),k3_funct_2(B,k1_numbers,E,C)) ) ) ) ) ) ) )).
fof(t13_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(C)))) ) => ( r2_hidden(B,k1_prob_2(C,k9_setfam_1(C),k2_prob_3(C,D),A)) <=> ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(E,A) & r2_hidden(B,k1_prob_2(C,k9_setfam_1(C),D,E)) ) ) ) ) )).
fof(t13_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) ) ) ) )).
fof(t13_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,B,k6_cqc_lang(A,B)),C),k4_cqc_the1(A)) ) ) ) )).
fof(t13_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,B,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_projdes1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t13_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ( r5_projpl_1(A,B,C,D,E) => ( r5_projpl_1(A,B,D,C,E) & r5_projpl_1(A,C,B,D,E) & r5_projpl_1(A,C,D,B,E) & r5_projpl_1(A,D,B,C,E) & r5_projpl_1(A,D,C,B,E) & r5_projpl_1(A,B,C,E,D) & r5_projpl_1(A,B,D,E,C) & r5_projpl_1(A,C,B,E,D) & r5_projpl_1(A,C,D,E,B) & r5_projpl_1(A,D,B,E,C) & r5_projpl_1(A,D,C,E,B) & r5_projpl_1(A,B,E,C,D) & r5_projpl_1(A,B,E,D,C) & r5_projpl_1(A,C,E,B,D) & r5_projpl_1(A,C,E,D,B) & r5_projpl_1(A,D,E,B,C) & r5_projpl_1(A,D,E,C,B) & r5_projpl_1(A,E,B,C,D) & r5_projpl_1(A,E,B,D,C) & r5_projpl_1(A,E,C,B,D) & r5_projpl_1(A,E,C,D,B) & r5_projpl_1(A,E,D,B,C) & r5_projpl_1(A,E,D,C,B) ) ) ) ) ) ) ) )).
fof(t13_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ( ? [B] : ( m1_subset_1(B,u2_incsp_1(A)) & ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u1_incsp_1(A)) & r1_incsp_1(A,C,B) & r1_incsp_1(A,D,B) & r1_incsp_1(A,E,B) & r1_incsp_1(A,F,B) & r2_zfmisc_1(C,D,E,F) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u1_incsp_1(A)) & r1_incsp_1(A,C,B) & r1_incsp_1(A,D,B) & r1_incsp_1(A,E,B) & r1_incsp_1(A,F,B) & r2_zfmisc_1(C,D,E,F) ) ) ) ) ) ) ) )).
fof(t13_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,B,E) & ~ r1_incsp_1(A,C,E) & ~ r1_incsp_1(A,C,F) & r1_projred2(A,D,E,F) & D != F & ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,G,D) & ~ r1_incsp_1(A,G,F) & k3_relat_1(k1_projred1(A,D,E,B),k1_projred1(A,E,F,C)) = k1_projred1(A,D,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t13_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_card_3(A),k4_card_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_card_3(A),k4_card_3(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(A)))) ) => ( ! [D] : ( m1_subset_1(D,k4_card_3(A)) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(A)) => k8_prvect_1(A,k3_funct_2(k4_card_3(A),k4_card_3(A),B,D),E) = k8_prvect_1(A,k3_funct_2(k4_card_3(A),k4_card_3(A),C,D),E) ) ) => r2_funct_2(k4_card_3(A),k4_card_3(A),B,C) ) ) ) ) )).
fof(t13_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k14_prvect_2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k14_prvect_2(A))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(k4_prvect_2(A))) => ( ( C = D & ! [E] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(A)) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,u1_struct_0(k11_prvect_2(A,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_prvect_2(A,E))))) & v3_normsp_1(F,k11_prvect_2(A,E)) & k1_funct_1(D,E) = k5_normsp_1(k11_prvect_2(A,E),F) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ? [H] : ( m1_subset_1(H,k4_card_3(k4_prvect_2(A))) & H = k1_normsp_0(k14_prvect_2(A),B,G) & k1_normsp_0(k11_prvect_2(A,E),F,G) = k1_funct_1(H,E) ) ) ) ) ) => ( v3_normsp_1(B,k14_prvect_2(A)) & k5_normsp_1(k14_prvect_2(A),B) = C ) ) ) ) ) ) )).
fof(t13_prvect_3,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_prvect_2(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B)))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k10_prvect_2(k7_finseq_1(A,B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k10_prvect_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k10_prvect_2(B))) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & D = F & E = G & k1_binop_1(C,D,E) = k7_finseq_1(F,G) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B)))) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B))),C,k3_rlvect_1(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B)),D,E)) = k3_rlvect_1(k10_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B))),C,D),k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B)))) => ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B))),C,k1_rlvect_1(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B)),D,E)) = k1_rlvect_1(k10_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B))),u1_struct_0(k10_prvect_2(k7_finseq_1(A,B))),C,k4_struct_0(k5_prvect_3(k10_prvect_2(A),k10_prvect_2(B)))) = k4_struct_0(k10_prvect_2(k7_finseq_1(A,B))) ) ) ) )).
fof(t13_pscomp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k1_numbers))) => ( ( v1_pscomp_1(B,A) & v2_measure6(C) ) => v2_tops_2(k7_relset_1(k9_setfam_1(k1_numbers),k9_setfam_1(u1_struct_0(A)),k2_measure6(u1_struct_0(A),k1_numbers,B),C),A) ) ) ) ) )).
fof(t13_pua2mss1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k10_eqrel_1(A)) => ? [C] : ( m2_finseq_1(C,A) & k4_card_3(B) = k1_tarski(C) ) ) )).
fof(t13_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,2) & ! [B] : ( m1_pythtrip(B) => ~ ( ~ v2_pythtrip(B) & r2_tarski(A,B) ) ) ) ) )).
fof(t13_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)) => r6_pboole(A,B,C) ) ) ) )).
fof(t13_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( k11_qc_lang1(A,B) = k7_finseq_1(k11_qc_lang1(A,C),D) => k11_qc_lang1(A,B) = k11_qc_lang1(A,C) ) ) ) ) ) )).
fof(t13_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k5_qc_lang2(A,B,D) = k5_qc_lang2(A,C,E) => ( B = C & D = E ) ) ) ) ) ) ) )).
fof(t13_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v1_qc_lang2(B,A) => k24_qc_lang1(A,B) = k4_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,k10_qc_lang2(A,B)),k24_qc_lang1(A,k11_qc_lang2(A,B))) ) ) ) )).
fof(t13_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ( r1_tarski(C,D) => r2_qc_lang2(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),D),k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C)) ) ) ) ) ) )).
fof(t13_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ! [E] : ( m1_subset_1(E,k1_substut1(B)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( H = C & D = E & G = F ) => k7_substut1(A,G,H,D) = k7_substut1(B,F,C,E) ) ) ) ) ) ) ) ) ) )).
fof(t13_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k5_qmax_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k5_qmax_1(A))) => ( ( r2_tarski(B,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) & r2_tarski(C,k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A))) ) => ! [D] : ( m1_subset_1(D,k5_qmax_1(A)) => ! [E] : ( m1_subset_1(E,k5_qmax_1(A)) => ( ( r2_tarski(k8_qmax_1(A,D),C) & r2_tarski(k8_qmax_1(A,E),C) & r2_tarski(D,B) ) => r2_tarski(E,B) ) ) ) ) ) ) ) )).
fof(t13_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,C,D) => ( r3_lattices(A,k1_quantal1(A,D,B),k1_quantal1(A,C,B)) & r3_lattices(A,k2_quantal1(A,D,B),k2_quantal1(A,C,B)) ) ) ) ) ) ) )).
fof(t13_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => k22_quaterni(A,k1_quatern2) = k5_numbers ) )).
fof(t13_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k1_square_1(k27_quaterni(A)) = k12_quaterni(k22_quaterni(A,k26_quaterni(A))) ) )).
fof(t13_quaterni,axiom,( k9_quaterni(k1_xcmplx_0,k1_xcmplx_0) = k4_xcmplx_0(1) )).
fof(t13_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ! [D] : ( v1_xreal_0(D) => ~ r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C)) ) & ~ r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,k1_quin_1(A,B,C)) ) ) ) ) )).
fof(t13_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( k9_quofield(A,B,k9_quofield(A,C,D)) = k9_quofield(A,k9_quofield(A,B,C),D) & k9_quofield(A,B,C) = k9_quofield(A,C,B) ) ) ) ) ) )).
fof(t13_radix_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,k2_radix_1(B)) => ( r1_xxreal_0(A,k6_xcmplx_0(k1_radix_1(B),1)) & r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(B)),1),A) ) ) ) ) )).
fof(t13_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(B)) ) => ( C = D => k3_radix_2(A,B,C) = k8_radix_1(A,B,D) ) ) ) ) ) )).
fof(t13_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(2,A) & r2_hidden(B,k3_radix_1(A)) ) => ( r1_xxreal_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(A,1))),k6_radix_3(B,A)) & r1_xxreal_0(k6_radix_3(B,A),k6_xcmplx_0(k1_radix_1(k7_nat_d(A,1)),1)) ) ) ) ) )).
fof(t13_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(B)) ) => ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(A)) => r1_xxreal_0(k4_radix_1(E,B,A,D),k4_radix_1(E,B,A,C)) ) ) => r1_xxreal_0(k8_radix_1(A,B,D),k8_radix_1(A,B,C)) ) ) ) ) ) ) )).
fof(t13_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) ) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ~ r1_xxreal_0(k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k6_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,k6_radix_5(k2_xcmplx_0(A,2),A,B))),k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C))) ) ) ) ) )).
fof(t13_ramsey_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),D) => ( ( r2_tarski(B,E) & k3_funct_2(A,D,k13_eqrel_1(A,D),B) = k3_funct_2(A,D,k13_eqrel_1(A,D),C) ) => r2_tarski(C,E) ) ) ) ) ) ) )).
fof(t13_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & ? [E] : ( m2_finseq_1(E,A) & k3_finseq_1(D) = k4_card_1(A) & v2_funct_1(E) & k2_relset_1(A,E) = A & k3_finseq_1(E) = k4_card_1(A) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => k12_supinf_2(D,F) = k1_extreal1(k12_supinf_2(C,k1_funct_1(E,F)),k12_supinf_2(B,k1_tarski(k1_funct_1(E,F)))) ) ) & k1_mesfunc6(A,k1_random_1(A),k2_prob_4(A,k1_random_1(A),B),C) = k18_rvsum_1(D) ) ) ) ) ) )).
fof(t13_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( ! [D] : ( r2_tarski(D,C) => r1_xxreal_0(k5_numbers,k12_supinf_2(B,D)) ) => r1_xxreal_0(k5_numbers,k5_bhsp_5(k1_numbers,A,k9_binop_2,C,B)) ) ) ) ) )).
fof(t13_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( m2_prob_1(E,A,C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r1_funct_2(D,k1_numbers,D,k6_numbers,k2_random_3(A,B,C,D,E,F),k1_random_3(A,B,C,D,k2_prob_4(A,C,E),F)) ) ) ) ) ) ) )).
fof(t13_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r1_struct_0(k3_ranknull(A,B,C,D),E) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) ) ) ) ) ) ) ) )).
fof(t13_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => r1_xxreal_0(k5_xcmplx_0(k1_rat_1(A)),1) ) )).
fof(t13_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_polynom5(A,B,C) => r1_polynom5(A,k5_vfunct_1(k4_ordinal1,A,B),C) ) ) ) ) )).
fof(t13_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ( v2_rcomp_1(A) & v3_xxreal_2(A) ) => ( A = k1_xboole_0 | r2_hidden(k3_seq_4(A),A) ) ) ) )).
fof(t13_rcomp_3,axiom,( ! [A] : ( ( v5_xxreal_2(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r2_hidden(k3_seq_4(A),A) & r2_hidden(k2_seq_4(A),A) ) => A = k1_rcomp_1(k3_seq_4(A),k2_seq_4(A)) ) ) )).
fof(t13_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k4_ordinal1,k1_real_3(B,A),1) = k4_nat_d(A,k8_nat_1(k4_ordinal1,k1_real_3(B,A),k5_numbers)) ) ) )).
fof(t13_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k4_real_lat(A),k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,C),B),B) ) ) ) )).
fof(t13_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_real_ns1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_real_ns1(A))) => ( ( C = E & D = F ) => ( k3_rlvect_1(k4_real_ns1(A),C,D) = k3_rlvect_1(k7_real_ns1(A),E,F) & k4_algstr_0(k4_real_ns1(A),C) = k4_algstr_0(k7_real_ns1(A),E) & k1_rlvect_1(k4_real_ns1(A),C,B) = k1_rlvect_1(k7_real_ns1(A),E,B) ) ) ) ) ) ) ) ) )).
fof(t13_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k8_group_1(A,B,k4_struct_0(A)) = k4_struct_0(A) ) ) )).
fof(t13_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k4_binop_1(u1_struct_0(A),k1_realset3(A),B,C) = k4_binop_1(u1_struct_0(A),k1_realset3(A),D,E) <=> k3_rlvect_1(A,B,E) = k3_rlvect_1(A,C,D) ) ) ) ) ) ) )).
fof(t13_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k1_relset_1(A,k3_rearran1(B,A,D,C)) = A ) ) ) ) ) )).
fof(t13_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => r1_tarski(k10_xtuple_0(k3_xboole_0(A,B)),k3_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B))) ) ) )).
fof(t13_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_relat_2(A) <=> A = k2_relat_1(A) ) ) )).
fof(t13_relset_1,axiom,( ! [A] : r1_tarski(k4_relat_1(A),k2_zfmisc_1(A,A)) )).
fof(t13_relset_2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => r1_tarski(k7_relat_1(k3_xboole_0(B,C),k10_eqrel_1(A)),k3_xboole_0(k7_relat_1(B,k10_eqrel_1(A)),k7_relat_1(C,k10_eqrel_1(A)))) ) ) )).
fof(t13_revrot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ( ( r2_tarski(C,k10_xtuple_0(D)) & r1_xxreal_0(A,k4_finseq_4(D,C)) ) => ( r1_xxreal_0(A,1) | k7_partfun1(B,D,A) = k7_partfun1(B,k1_finseq_6(B,D,C),k7_nat_d(k1_nat_1(A,k3_finseq_1(D)),k4_finseq_4(D,C))) ) ) ) ) ) ) )).
fof(t13_rewrite1,axiom,( ! [A] : ! [B] : ( r1_rewrite1(k1_xboole_0,A,B) => A = B ) )).
fof(t13_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ( r2_rewrite2(A,B,C,D) => r2_rewrite2(A,B,k1_flang_1(A,k1_flang_1(A,E,C),F),k1_flang_1(A,k1_flang_1(A,E,D),F)) ) ) ) ) ) ) )).
fof(t13_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ~ ( k1_flang_1(A,D,B) = k1_flang_1(A,E,C) & ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ~ ( k1_flang_1(A,D,F) = E & B = k1_flang_1(A,F,C) ) ) & ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ~ ( k1_flang_1(A,E,F) = D & C = k1_flang_1(A,F,B) ) ) ) ) ) ) ) ) )).
fof(t13_rfinseq,axiom,( ! [A] : ( v1_xreal_0(A) => k3_rfinseq(k9_finseq_1(A)) = k9_finseq_1(A) ) )).
fof(t13_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k3_finseq_1(A),B) => ( r1_xxreal_0(k3_rfinseq2(k2_rfinseq(k1_numbers,B,A)),k3_rfinseq2(A)) & r1_xxreal_0(k4_rfinseq2(A),k4_rfinseq2(k2_rfinseq(k1_numbers,B,A))) ) ) ) ) )).
fof(t13_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( v1_xcmplx_0(C) => k24_valued_1(k18_valued_1(A,B),C) = k18_valued_1(A,k24_valued_1(B,C)) ) ) ) )).
fof(t13_rfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( v1_partfun1(B,A) & v1_partfun1(C,A) ) => ( r2_relset_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,D,k3_valued_1(A,k1_numbers,k1_numbers,B,C)),k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,D,B),k8_funct_2(k4_ordinal1,k1_numbers,A,D,C))) & r2_relset_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,D,k47_valued_1(A,k1_numbers,k1_numbers,B,C)),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,D,B),k8_funct_2(k4_ordinal1,k1_numbers,A,D,C))) & r2_relset_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,D,k20_valued_1(A,k1_numbers,k1_numbers,B,C)),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,A,D,B),k8_funct_2(k4_ordinal1,k1_numbers,A,D,C))) ) ) ) ) ) ) )).
fof(t13_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_classes1(C,D) => r2_classes1(k56_valued_1(A,k1_numbers,C),k56_valued_1(B,k1_numbers,D)) ) ) ) ) ) )).
fof(t13_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( r1_rfunct_4(A,C) & r1_rfunct_4(B,C) ) => r1_rfunct_4(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) ) ) ) )).
fof(t13_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_seq_2(A) => k1_rinfsup1(A) = k4_xcmplx_0(k2_rinfsup1(k32_valued_1(k4_ordinal1,k1_numbers,A))) ) ) )).
fof(t13_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r1_funct_2(k4_ordinal1,k6_numbers,k4_ordinal1,k1_numbers,A,B) => ( v1_rinfsup2(A) <=> v2_seq_2(B) ) ) ) ) )).
fof(t13_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_ring_1(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_ring_1(A,B))) => ( ( E = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),C) & F = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),D) ) => k1_algstr_0(k2_ring_1(A,B),E,F) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k3_rlvect_1(A,C,D)) ) ) ) ) ) ) ) )).
fof(t13_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k8_vectsp10(A,k2_ring_1(A,B),k3_ring_2(A,B)) = B ) ) )).
fof(t13_ringcat1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) ) => ( m4_ringcat1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => m1_ringcat1(D,B,C) ) ) ) ) ) )).
fof(t13_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => k4_finseqop(u1_struct_0(A),k1_numbers,D,k7_rlvect_2(A,B,C)) = k4_rvsum_1(k4_finseqop(u1_struct_0(A),k1_numbers,D,B),k4_finseqop(u1_struct_0(A),k1_numbers,D,C)) ) ) ) ) )).
fof(t13_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v1_xboole_0(k1_rlaffin2(A,B)) => v1_finset_1(B) ) ) ) )).
fof(t13_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_rlaffin3(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => m2_rlaffin3(k3_fvsum_1(A,C,k5_finseq_2(u1_struct_0(A),k4_card_1(B),D)),A,k5_rusub_4(A,B,D)) ) ) ) ) )).
fof(t13_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rlsub_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( ( E = C & F = B ) => k3_rlvect_1(D,E,F) = k3_rlvect_1(A,C,B) ) ) ) ) ) ) ) )).
fof(t13_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_rlvect_1(B) & m1_rlsub_1(B,A) ) => k2_rlsub_2(A,B,B) = B ) ) )).
fof(t13_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( v1_xreal_0(B) => k1_convex1(A,k6_domain_1(u1_struct_0(A),k4_struct_0(A)),B) = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) )).
fof(t13_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_algstr_0(A,B,k4_struct_0(A)) = B ) ) )).
fof(t13_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_rlvect_2(A,k4_subset_1(u1_struct_0(A),C,B)) = k5_algstr_0(A,k3_rlvect_1(A,k2_rlvect_2(A,C),k2_rlvect_2(A,B)),k2_rlvect_2(A,k9_subset_1(u1_struct_0(A),C,B))) ) ) ) )).
fof(t13_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( B != C & v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) ) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) ) ) )).
fof(t13_rlvect_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(A,k3_rlsub_1(B,C,k1_rlvect_3(B,k7_domain_1(u1_struct_0(B),D,E)))) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & A = k3_rlvect_1(B,k3_rlvect_1(B,C,k1_rlvect_1(B,D,F)),k1_rlvect_1(B,E,G)) ) ) ) ) ) ) ) )).
fof(t13_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(k1_rlvect_3(A,B),C) ) ) ) )).
fof(t13_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k2_rlvect_x(A,B),k2_rlvect_x(A,C)) ) ) ) ) )).
fof(t13_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_rmod_2(E,A,B) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( ( F = D & G = C ) => k3_rlvect_1(E,F,G) = k3_rlvect_1(B,D,C) ) ) ) ) ) ) ) ) )).
fof(t13_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v2_vectsp_2(C,A) & m1_rmod_2(C,A,B) ) => k2_rmod_3(A,B,C,C) = C ) ) ) )).
fof(t13_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_rmod_4(A,B,k7_subset_1(u1_struct_0(B),D,C)) = k5_algstr_0(B,k1_rmod_4(A,B,D),k1_rmod_4(A,B,k9_subset_1(u1_struct_0(B),D,C))) ) ) ) ) )).
fof(t13_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_robbins1(A,B,k7_robbins1(A)) = B ) ) )).
fof(t13_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,D,B)),k3_robbins1(A,k1_lattices(A,k3_robbins1(A,C),k3_robbins1(A,k1_lattices(A,E,C)))))))) = C ) ) ) ) ) )).
fof(t13_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & v9_lattices(A) ) => v9_lattices(B) ) ) ) )).
fof(t13_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_robbins4)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_robbins4)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_robbins4)) => ( ( A = C & B = D ) => ( r3_orders_2(k1_robbins4,A,B) <=> r3_lattices(k2_robbins4,C,D) ) ) ) ) ) ) )).
fof(t13_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k4_roughs_1(A,B)) ) ) )).
fof(t13_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k4_roughs_1(A,B),k4_roughs_1(A,C)) ) ) ) )).
fof(t13_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_isomichi(B,A) <=> r1_tarski(k3_roughs_1(A,k4_roughs_1(A,B)),k4_roughs_1(A,k3_roughs_1(A,B))) ) ) ) )).
fof(t13_rpr_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => r1_xboole_0(k9_subset_1(A,B,C),k9_subset_1(A,B,k3_subset_1(A,C))) ) ) ) )).
fof(t13_rsspace,axiom,( ~ v2_struct_0(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v13_algstr_0(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v2_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v3_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v4_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v5_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v6_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v7_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & v8_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) & l1_rlvect_1(g1_rlvect_1(k8_rsspace,k7_rsspace(k4_rsspace,k8_rsspace),k5_rsspace(k4_rsspace,k8_rsspace),k6_rsspace(k4_rsspace,k8_rsspace))) )).
fof(t13_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_rsspace4(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_funct_2(A,u1_struct_0(B),k6_rsspace4(A,B,C),C) ) ) ) )).
fof(t13_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => r1_struct_0(A,k4_struct_0(B)) ) ) )).
fof(t13_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_bhsp_1(B) & m1_rusub_1(B,A) ) => k2_rusub_2(A,B,B) = B ) ) )).
fof(t13_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_bhsp_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_rlvect_3(B,A) & ! [C] : ( m1_rusub_3(C,A) => ~ r1_tarski(B,C) ) ) ) ) )).
fof(t13_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ( k1_rusub_4(A) = 1 <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & B != k4_struct_0(A) & k2_rusub_1(A) = k1_rusub_3(A,k6_domain_1(u1_struct_0(A),B)) ) ) ) )).
fof(t13_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_rusub_4(B,A) & r2_tarski(C,B) ) => r1_tarski(k7_rusub_4(A,B,k6_domain_1(u1_struct_0(A),C)),B) ) ) ) ) )).
fof(t13_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k4_rvsum_1(k9_finseq_1(A),k9_finseq_1(B)) = k9_finseq_1(k2_xcmplx_0(A,B)) ) ) )).
fof(t13_rvsum_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_rvsum_2(k9_finseq_1(A),k9_finseq_1(B)) = k9_finseq_1(k6_xcmplx_0(A,B)) ) ) )).
fof(t13_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ~ ( k4_rvsum_3(A) != k5_numbers & v3_funct_1(A) ) ) )).
fof(t13_scm_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) ) => ( ( k1_funct_1(E,k10_ami_3(k5_numbers)) = A & k1_funct_1(E,k10_ami_3(1)) = B & k1_funct_1(E,k10_ami_3(2)) = C & k1_funct_1(E,k10_ami_3(3)) = D ) => m1_scm_1(E,k16_afinsq_1(A,B,C,D)) ) ) ) ) ) ) )).
fof(t13_scm_comp,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( m1_dtconstr(B,u1_struct_0(k1_scm_comp),k5_trees_3(u1_struct_0(k1_scm_comp)),k4_dtconstr(k1_scm_comp)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_tarski(k61_valued_1(k1_ordinal4(k15_scm_comp(B,C),k5_afinsq_1(k2_compos_1(k1_ami_3))),D),A) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_ami_3)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(E,u1_struct_0(k1_ami_3)) & v5_memstr_0(E,k5_card_1(2),k1_ami_3,D) ) => ( ~ r1_xxreal_0(C,k17_scm_comp(B)) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,E) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,E),k10_ami_3(C)) = k12_scm_comp(E,B) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,E) = k1_afinsq_1(k15_scm_comp(B,C)) ) ) ) ) ) ) ) ) )).
fof(t13_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(C) ) => ( ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),A) & r1_tarski(C,B) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),A,D)) = k2_compos_1(k1_scmfsa_2) ) ) ) ) ) ) )).
fof(t13_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ~ ( r1_tarski(k9_xtuple_0(A),k4_subset_1(u1_struct_0(k1_scmfsa_2),k2_scmfsa_2,k3_scmfsa_2)) & r2_tarski(C,k2_xboole_0(k2_xboole_0(k9_xtuple_0(A),k6_sf_mastr(B)),k3_sf_mastr(B))) & ~ ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) & ~ m1_scmfsa_2(C) ) ) ) )).
fof(t13_scmfsa10,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k2_compos_0(k9_scmfsa_2(A,B)) = k1_xboole_0 ) ) )).
fof(t13_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A) & r1_tarski(k1_scmfsa6a(C),B) ) => k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A),1))) = k4_card_1(C) ) ) ) ) )).
fof(t13_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( v7_ordinal1(C) => ~ r3_scmfsa7b(k13_scmfsa_2(C,B),A) ) ) ) )).
fof(t13_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ~ ( ~ r4_scmfsa7b(A,B) & r4_scmfsa7b(k1_scmfsa6a(A),B) ) ) ) )).
fof(t13_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(B,E) = k5_numbers & r5_scmfsa7b(C,B,A) ) => r5_scmfsa7b(k1_scmfsa8b(E,C,D),B,A) ) ) ) ) ) ) )).
fof(t13_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => r1_scmfsa9a(A,B,C,D) ) ) ) ) )).
fof(t13_scmfsa_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ! [J] : ( m1_scmfsa_2(J) => ( ( k3_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)) = k14_scmfsa_2(H,I,J) & r2_tarski(H,k9_xtuple_0(B)) ) => ! [K] : ( m1_subset_1(K,k4_ordinal1) => ! [L] : ( m1_subset_1(L,k4_ordinal1) => ( ( K = k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),I)) & L = k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),I)) ) => k7_partfun1(k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),J),K) = k7_partfun1(k4_numbers,k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),J),L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) ) => r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)),k1_scmfsa_m(A)) ) )).
fof(t13_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(k5_numbers,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,B)),k1_scmfsa_m(D),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,k4_scmfsa_x(C,B)),B),k1_scmfsa_m(D)),2))) ) ) ) ) )).
fof(t13_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ~ ( r1_tarski(k4_scmp_gcd,A) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) = 5 & ~ r1_xxreal_0(k1_funct_1(B,k3_scmp_gcd),k5_numbers) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3))) & r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2))) & ! [C] : ( v7_ordinal1(C) => ~ ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C)) = k4_scmpds_2(k3_scmp_gcd) & k1_funct_1(B,k3_scmp_gcd) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k3_scmp_gcd) & k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)) = k3_int_2(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),2)),k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,k3_scmp_gcd),3))) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k2_xcmplx_0(k1_funct_1(B,k3_scmp_gcd),1)) => ( r1_xxreal_0(D,1) | k1_funct_1(B,k1_scmp_gcd(D)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,C),k1_scmp_gcd(D)) ) ) ) ) ) ) ) ) )).
fof(t13_scmpds_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k4_scmpds_2(A)) = 1 ) )).
fof(t13_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(D) & v4_extpro_1(D,k5_card_1(2),k1_scmpds_2,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_tarski(D,E) & r1_tarski(D,F) & r1_tarski(C,A) & r1_tarski(C,B) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v1_int_1(H) => ! [I] : ( v1_int_1(I) => ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) = k13_scmpds_2(J,K,H,I) & r2_tarski(J,k9_xtuple_0(D)) & r2_tarski(k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),J),H),k9_xtuple_0(D)) ) => k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),K),I)) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),K),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k3_scmpds_4(k3_scmpds_4(C,A),B) = k1_scmpds_4(C,k4_scmpds_4(A,B)) ) ) ) )).
fof(t13_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => r1_ordinal1(k9_xtuple_0(k10_compos_1(k1_scmpds_2,A)),k9_xtuple_0(k10_compos_1(k1_scmpds_2,k1_scmpds_4(A,B)))) ) ) )).
fof(t13_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => r1_tarski(k61_valued_1(k10_compos_1(k1_scmpds_2,B),k4_card_1(A)),k10_compos_1(k1_scmpds_2,k1_scmpds_4(A,B))) ) ) )).
fof(t13_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ( r2_scmpds_6(C,B,A) => k1_funct_1(k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),D) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B))),D) ) ) ) ) ) )).
fof(t13_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_recdef_1(G,H) = k5_numbers => r1_xxreal_0(k5_numbers,k1_funct_1(H,k2_scmpds_2(k1_funct_1(B,D),E))) ) ) & ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmpds_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(J,F) => k1_funct_1(H,J) = k1_funct_1(B,J) ) ) & k1_funct_1(H,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(H,k2_scmpds_2(k1_funct_1(B,D),E))) | ( k1_funct_1(k6_scmpds_4(C,H,I),D) = k1_funct_1(H,D) & ~ r1_xxreal_0(k1_recdef_1(G,H),k1_recdef_1(G,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,H,I)))) & r1_scmpds_6(C,H,I) & r2_scmpds_6(C,H,I) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(J,F) => k1_funct_1(k6_scmpds_4(C,H,I),J) = k1_funct_1(H,J) ) ) ) ) ) ) ) ) => ( r1_scmpds_6(k1_scmpds_8(D,E,C),B,A) & r2_scmpds_6(k1_scmpds_8(D,E,C),B,A) ) ) ) ) ) ) ) ) )).
fof(t13_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,C,k15_scmpds_2(A,B,D,E)) = k1_tarski(k1_nat_1(C,1)) ) ) ) ) ) )).
fof(t13_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(D,u1_struct_0(k1_scmring2(A))) ) => ( k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k5_scmring2(A,B,C),D),k4_struct_0(k1_scmring2(A))) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(A),D),1) & k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k5_scmring2(A,B,C),D),B) = k5_algstr_0(A,k2_scmring2(A,D,B),k2_scmring2(A,D,C)) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmring2(A))) ) => ( E != B => k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k5_scmring2(A,B,C),D),E) = k2_scmring2(A,D,E) ) ) ) ) ) ) ) )).
fof(t13_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = 1 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmring2(A))) ) => B != k3_scmring2(A,C,D) ) ) ) ) ) )).
fof(t13_scmyciel,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(k2_tarski(B,C),k1_scmyciel(A)) => ( B != C & r2_hidden(B,k3_tarski(A)) & r2_hidden(C,k3_tarski(A)) ) ) )).
fof(t13_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F)) = k5_numbers => k6_scmpds_4(k3_scpinvar(D,F,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) = k1_funct_4(B,k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k4_card_1(C),3))) ) ) ) ) ) ) ) )).
fof(t13_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmpds_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(G,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(G,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmpds_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( k1_funct_1(G,D) = k1_funct_1(B,D) => ( k1_funct_1(k6_scmpds_4(C,G,H),D) = k1_funct_1(G,D) & k1_funct_1(k6_scmpds_4(C,G,H),k2_scmpds_2(k1_funct_1(B,D),E)) = k1_funct_1(G,k2_scmpds_2(k1_funct_1(B,D),E)) & r1_scmpds_6(C,G,H) & r2_scmpds_6(C,G,H) ) ) ) ) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) | r1_xxreal_0(F,k5_numbers) | D = k2_scmpds_2(k1_funct_1(B,D),E) | ( r1_scmpds_6(k2_scmpds_7(D,E,F,C),B,A) & r2_scmpds_6(k2_scmpds_7(D,E,F,C),B,A) ) ) ) ) ) ) ) ) ) )).
fof(t13_scpqsort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k4_card_1(k2_scpqsort(A,B)) = 57 ) ) )).
fof(t13_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_analoaf(A,B,C,B,D) ) ) ) ) ) )).
fof(t13_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),C),k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C))) ) ) ) )).
fof(t13_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) => v1_comseq_2(A) ) ) )).
fof(t13_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) => v2_comseq_2(k56_valued_1(k4_ordinal1,k1_numbers,A)) ) ) )).
fof(t13_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k8_seqfunc(A,k3_seqfunc(A,B),k3_seqfunc(A,C)),k3_seqfunc(A,k8_seqfunc(A,B,C))) ) ) ) )).
fof(t13_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) <=> ! [B] : ( v7_ordinal1(B) => m1_subset_1(k8_nat_1(k1_numbers,A,B),k4_ordinal1) ) ) ) )).
fof(t13_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ? [B] : ( v7_ordinal1(B) & v1_series_1(k1_valued_0(k1_numbers,A,B)) ) => v1_series_1(A) ) ) )).
fof(t13_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),k1_newton(B,2)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),B),k1_nat_1(B,1)),2) ) ) ) )).
fof(t13_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(A,B),C),k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k1_newton(B,3)),k1_newton(C,3)),3)) ) ) ) )).
fof(t13_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(2,C),1),k1_newton(k7_xcmplx_0(1,2),C)) ) => k8_nat_1(k1_numbers,k3_series_1(B),A) = k6_xcmplx_0(k1_nat_1(k1_newton(A,2),1),k1_newton(k7_xcmplx_0(1,2),A)) ) ) ) )).
fof(t13_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(1,k9_complex1(A)) & ~ r1_xxreal_0(1,k9_complex1(B)) & ~ r1_xxreal_0(k9_complex1(k7_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(1,k3_xcmplx_0(A,B)))),1) ) ) ) )).
fof(t13_setfam_1,axiom,( ! [A] : ! [B] : ( r1_setfam_1(A,B) => r1_tarski(k3_tarski(A),k3_tarski(B)) ) )).
fof(t13_setlim_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( v3_funct_1(C) & k3_funct_1(C) = B ) => ! [D] : ( v7_ordinal1(D) => k3_tarski(a_3_3_setlim_1(A,C,D)) = B ) ) ) ) )).
fof(t13_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r1_tarski(k4_subset_1(A,k3_prob_1(A,B),k3_prob_1(A,C)),k3_prob_1(A,k2_setlim_2(A,B,C))) ) ) )).
fof(t13_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ( k7_relset_1(A,B,C,D) = k1_xboole_0 => D = k1_xboole_0 ) ) ) ) ) )).
fof(t13_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(B,B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(F,B) & v2_binop_1(F,B) & v1_setwiseo(F,B) & E = k3_binop_1(B,F) & r6_binop_1(B,G,F) & k4_binop_1(B,G,E,D) = E ) => k4_binop_1(B,G,k7_setwiseo(A,B,F,C,H),D) = k7_setwiseo(A,B,F,C,k9_funcop_1(B,A,G,H,D)) ) ) ) ) ) ) ) ) ) )).
fof(t13_sf_mastr,axiom,( k1_sf_mastr(k2_compos_1(k1_scmfsa_2)) = k1_xboole_0 )).
fof(t13_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v4_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v1_scmfsa7b(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) | r5_scmfsa7b(D,k1_scmfsa_m(B),A) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k4_scmfsa6a(D,C),B,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa6b(D,B,A))) ) ) ) ) ) )).
fof(t13_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( ~ ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) != 1 & v1_scmfsa_m(C) ) => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),k5_numbers),C) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(t13_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( B != D => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,E,A),k5_numbers),D) = k1_funct_1(A,D) ) ) ) ) ) ) ) )).
fof(t13_sgraph1,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k2_sgraph1(A)) ) )).
fof(t13_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => v1_sheffer1(A) ) )).
fof(t13_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C)),C) = k5_sheffer1(A,B,C) ) ) ) )).
fof(t13_simplex0,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ~ ( v1_finset_1(B) & v1_setfam_1(B) & v6_ordinal1(B) & r2_tarski(A,B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ~ ( r1_tarski(B,C) & v1_setfam_1(C) & v6_ordinal1(C) & k1_card_1(A) = k1_card_1(C) & ! [D] : ~ ( r2_tarski(D,C) & k1_card_1(D) != 1 & ! [E] : ~ ( r2_tarski(E,D) & r2_tarski(k6_subset_1(D,k1_tarski(E)),C) ) ) ) ) ) ) )).
fof(t13_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ( C = k2_cohsp_1(u1_pre_topc(B)) => m1_simplex1(k5_simplex0(u1_struct_0(B),C),A,B) ) ) ) ) )).
fof(t13_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( ( v6_tbsp_1(C,k14_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) => ( C = B => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( r2_tarski(D,k3_convex1(k15_euclid(A),B)) => r1_tarski(k3_convex1(k15_euclid(A),B),k9_metric_1(k14_euclid(A),D,k2_tbsp_1(k14_euclid(A),C))) ) ) ) ) ) ) )).
fof(t13_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,k3_sin_cos(B),C) = k8_nat_1(k2_numbers,k9_sin_cos(C,B,A),C) ) ) ) )).
fof(t13_sin_cos2,axiom,( k1_funct_1(k22_sin_cos,k5_numbers) = 1 )).
fof(t13_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k10_funct_2(k2_numbers,k2_numbers,k4_sin_cos3,k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k7_partfun1(k2_numbers,k4_sin_cos3,A),k7_partfun1(k2_numbers,k4_sin_cos3,B)),k3_xcmplx_0(k7_partfun1(k2_numbers,k3_sin_cos3,A),k7_partfun1(k2_numbers,k3_sin_cos3,B))) ) ) )).
fof(t13_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( k19_sin_cos(A) != k5_numbers & k19_sin_cos(B) != k5_numbers & k19_sin_cos(C) != k5_numbers & k1_sin_cos4(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) != k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)),k1_sin_cos4(C)),k3_xcmplx_0(k3_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)),k1_sin_cos4(C))),k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(1,k3_xcmplx_0(k1_sin_cos4(B),k1_sin_cos4(C))),k3_xcmplx_0(k1_sin_cos4(C),k1_sin_cos4(A))),k3_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)))) ) ) ) ) )).
fof(t13_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( k19_sin_cos(A) != k5_numbers & k17_sin_cos(A) != k5_numbers & ~ ( k4_sin_cos4(k3_xcmplx_0(2,A)) = k7_xcmplx_0(k1_square_1(k4_sin_cos4(A)),k6_xcmplx_0(1,k1_square_1(k1_sin_cos4(A)))) & k4_sin_cos4(k3_xcmplx_0(2,A)) = k7_xcmplx_0(k2_xcmplx_0(k2_sin_cos4(A),k1_sin_cos4(A)),k6_xcmplx_0(k2_sin_cos4(A),k1_sin_cos4(A))) ) ) ) )).
fof(t13_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( ~ r1_xxreal_0(A,k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) & ~ r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(k19_sin_cos(A),k5_numbers) ) ) ) )).
fof(t13_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(1,k1_square_1(A)) => r1_xxreal_0(k5_numbers,k7_xcmplx_0(k2_xcmplx_0(k1_square_1(A),1),k6_xcmplx_0(1,k1_square_1(A)))) ) ) )).
fof(t13_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k6_xcmplx_0(k1_square_1(k6_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B))),k1_square_1(k6_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)))) = k3_xcmplx_0(4,k1_square_1(k2_sin_cos2(k7_xcmplx_0(k6_xcmplx_0(A,B),2)))) & k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))),k1_square_1(k2_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)))) = k3_xcmplx_0(4,k1_square_1(k4_sin_cos2(k7_xcmplx_0(k6_xcmplx_0(A,B),2)))) ) ) ) )).
fof(t13_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2))) => k1_funct_1(k26_sin_cos,A) = k1_sin_cos4(A) ) ) )).
fof(t13_sincos10,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t13_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ~ ( r1_sppol_1(A,B,k1_rltopsp1(k15_euclid(A),C,D)) & B != C & B != D ) ) ) ) ) )).
fof(t13_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k3_topreal1(2,A)) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r2_tarski(B,k2_topreal1(2,A,C)) ) ) ) ) ) )).
fof(t13_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k18_pscomp_1(A),A) & r2_tarski(k19_pscomp_1(A),A) ) ) )).
fof(t13_sprect_2,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,A) & k17_euclid(B) = k8_pscomp_1(A) ) => r2_tarski(B,k16_pscomp_1(A)) ) ) ) )).
fof(t13_sprect_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(D)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,C) & r1_xxreal_0(C,k3_finseq_1(D)) ) => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,B)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,C,B))) ) ) ) ) ) )).
fof(t13_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k25_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t13_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_square_1(A)) ) ) )).
fof(t13_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_eqrel_1(E,k6_subset_1(k1_setfam_1(C),k3_tarski(D))) ) ) ) ) )).
fof(t13_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( ( r2_stacks_1(A,B,C) & r2_stacks_1(A,C,D) ) => r2_stacks_1(A,B,D) ) ) ) ) ) )).
fof(t13_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ~ ( r1_tarski(B,k5_card_1(A)) & B != k1_seq_4(k6_xcmplx_0(A,1)) & r1_xxreal_0(k6_xcmplx_0(A,1),k3_nat_1(B)) ) ) ) )).
fof(t13_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ! [E] : ( m2_subset_1(E,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,B) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ! [G] : ( m1_subset_1(G,k1_substut1(A)) => r2_relset_1(k4_ordinal1,C,k4_valuat_1(A,C,B,F,k1_sublemma(A,C,D,k3_sublemma(A,k4_sublemma(B,A,E,F,G),C,D))),k4_valuat_1(A,C,B,k3_substut1(A,F,G),D)) ) ) ) ) ) ) ) )).
fof(t13_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k7_subset_1(A,B,C) = k9_subset_1(A,B,k3_subset_1(A,C)) ) ) )).
fof(t13_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => k3_substlat(A,B,k1_finsub_1(k5_finsub_1(k4_partfun1(A,B)),k3_substlat(A,B,C),D)) = k3_substlat(A,B,k1_finsub_1(k5_finsub_1(k4_partfun1(A,B)),C,D)) ) ) )).
fof(t13_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => v6_substut1(k21_substut1(A,B,C),A) ) ) ) ) )).
fof(t13_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => k4_substut2(A,k5_cqc_lang(A),B,C) = k5_cqc_lang(A) ) ) ) )).
fof(t13_supinf_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => ! [B] : ( m1_subset_1(B,k6_numbers) => ( m2_xxreal_2(B,A) <=> m1_xxreal_2(k2_supinf_2(B),k6_supinf_2(A)) ) ) ) )).
fof(t13_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k3_rlvect_1(A,k1_group_1(A),k1_group_1(A)) != k4_struct_0(A) => r1_orders_2(B,C,C) ) ) ) ) )).
fof(t13_sysrel,axiom,( ! [A] : k4_relat_1(k1_tarski(A)) = k1_tarski(k4_tarski(A,A)) )).
fof(t13_t_0topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)) & v5_pre_topc(D,k3_t_0topsp(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)))) & r2_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_partfun1(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B),k4_t_0topsp(A),D)) ) ) ) ) )).
fof(t13_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => m1_taxonom1(k1_tarski(k10_eqrel_1(A)),A) ) )).
fof(t13_taxonom2,axiom,( ! [A] : ! [B] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_taxonom2(B,A) ) => ~ ( v7_taxonom2(B,A) & ! [C] : ( m1_eqrel_1(C,A) => ~ r1_tarski(C,B) ) ) ) )).
fof(t13_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_power(k4_power,k1_funct_1(k22_sin_cos,A)) = A ) )).
fof(t13_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & r2_hidden(E,k2_rcomp_1(k4_xcmplx_0(A),A)) & ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(1,F) & r1_xxreal_0(B,k9_complex1(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k22_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A)),D),k3_xcmplx_0(F,E)),k1_newton(E,D)),k2_newton(D)))) ) ) ) ) ) ) ) )).
fof(t13_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v6_tbsp_1(B,A) & v6_tbsp_1(C,A) ) => v6_tbsp_1(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t13_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_tdgroup(A,B,C,C,D) & r1_tdgroup(A,B,E,E,D) ) => C = E ) ) ) ) ) ) )).
fof(t13_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,B)),B),C))),k9_subset_1(u1_struct_0(A),k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,B)),B),C)) = k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),B,C))),k9_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t13_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k6_setfam_1(u1_struct_0(A),B),k6_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B))) ) ) )).
fof(t13_tdlat_3,axiom,( ! [A] : ( ( v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,u1_pre_topc(A)) => r2_tarski(k6_subset_1(u1_struct_0(A),B),u1_pre_topc(A)) ) ) ) )).
fof(t13_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r1_termord(A,B,k1_termord(A,B,C,D),C) & r1_termord(A,B,k1_termord(A,B,C,D),D) ) ) ) ) ) )).
fof(t13_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( B != k1_xboole_0 => v1_tops_1(B,A) ) & ( B != u1_struct_0(A) => v2_tops_1(B,A) ) ) ) ) )).
fof(t13_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v2_tdlat_3(A) ) => v2_tdlat_3(B) ) ) ) )).
fof(t13_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( m1_pre_topc(B,C) => ( v1_tex_3(B,C) & m1_pre_topc(B,C) ) ) ) ) ) )).
fof(t13_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_tex_4(k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B)),A) ) ) )).
fof(t13_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r1_tsep_1(C,D) | r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) ) => r1_tarski(k2_relset_1(u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F)),k4_subset_1(u1_struct_0(B),k2_relset_1(u1_struct_0(B),E),k2_relset_1(u1_struct_0(B),F))) ) ) ) ) ) ) ) )).
fof(t13_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => r1_tarski(k2_tietze_2(A,B,C),k3_tietze_2(A,B,k2_finseq_2(A,C))) ) ) ) )).
fof(t13_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) => ~ ( v4_pre_topc(E,B) & r2_tarski(D,E) & v4_pre_topc(F,C) & r2_tarski(D,F) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C)))) => ~ ( v4_pre_topc(G,k1_tsep_1(A,B,C)) & r2_tarski(D,G) & r1_tarski(G,k2_xboole_0(E,F)) ) ) ) ) ) ) ) ) ) )).
fof(t13_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( v1_toler_1(k1_xboole_0,A,B) & m1_toler_1(k1_xboole_0,A,B) ) => B = k1_xboole_0 ) ) )).
fof(t13_topalg_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(C))) => ~ ( D = H & E = I & F = k1_rlvect_1(k15_euclid(C),H,B) & G = k1_rlvect_1(k15_euclid(C),I,B) & ~ r1_xxreal_0(A,k3_metric_1(k14_euclid(C),D,E)) & B != k5_numbers & r1_xxreal_0(k3_xcmplx_0(k9_complex1(B),A),k3_metric_1(k14_euclid(C),F,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_topalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => u1_struct_0(k5_topalg_1(A,B)) = k1_tarski(k6_eqrel_1(k2_topalg_1(A,B),k2_topalg_1(A,B),k4_topalg_1(A,B),C)) ) ) ) )).
fof(t13_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => g1_pre_topc(u1_struct_0(k2_borsuk_1(A,B)),u1_pre_topc(k2_borsuk_1(A,B))) = k2_borsuk_1(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) ) ) )).
fof(t13_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => m1_borsuk_2(k3_topalg_4(A,B,k5_topmetr,G),A,C,D) ) ) ) ) ) ) ) ) )).
fof(t13_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_2(A) <=> v2_connsp_2(k2_struct_0(A),A) ) ) )).
fof(t13_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r1_mfold_2(A,B) & v1_topalg_6(A) ) => v1_topalg_6(B) ) ) ) )).
fof(t13_topalg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v2_group_1(A) & v3_group_1(A) & v3_topgrp_1(A) & v4_topgrp_1(A) & l1_topgrp_1(A) ) => ! [B] : ( ( v1_topalg_7(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => r3_borsuk_2(A,B,B,k5_topalg_7(A,B,C,D),k5_topalg_7(A,B,D,C)) ) ) ) ) )).
fof(t13_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( v1_int_1(D) => ( ( v2_topdim_1(B,A) & v2_topdim_1(C,A) & r1_xxreal_0(k3_topdim_1(A,B),D) & r1_xxreal_0(k3_topdim_1(A,C),D) ) => r1_xxreal_0(k3_topdim_1(A,k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)),D) ) ) ) ) ) )).
fof(t13_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v5_waybel23(k1_pre_topc(B,C)) => ( ( v1_topdim_1(C,B) & r1_xxreal_0(k2_topdim_1(B,C),A) ) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(D,E) & ! [F] : ( ( v3_pre_topc(F,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(D,F) & r1_tarski(F,E) & v1_topdim_1(k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,F)),B) & r1_xxreal_0(k2_topdim_1(B,k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,F))),k3_xxreal_3(A,1)) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => u1_struct_0(A) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),k2_tops_1(A,B)),k1_tops_1(A,k3_subset_1(u1_struct_0(A),B))) ) ) )).
fof(t13_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ( v1_tops_2(k10_eqrel_1(u1_struct_0(A)),A) & v1_cantor_1(k10_eqrel_1(u1_struct_0(A)),A) & m1_subset_1(k10_eqrel_1(u1_struct_0(A)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [B] : ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => r1_tarski(k10_eqrel_1(u1_struct_0(A)),B) ) ) ) )).
fof(t13_topgen_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_pre_topc(k10_prob_1(A),k2_topgen_3) & m1_subset_1(k10_prob_1(A),k1_zfmisc_1(u1_struct_0(k2_topgen_3))) ) ) )).
fof(t13_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) <=> ( v1_prob_1(B,A) & v3_topgen_4(B,A) ) ) ) )).
fof(t13_topgen_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r2_tarski(B,k1_topreal9(A,B,C)) ) ) ) )).
fof(t13_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k2_relset_1(u1_struct_0(A),k3_group_1(A)) = u1_struct_0(A) ) )).
fof(t13_topmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_topmetr(B,A) ) => m1_pre_topc(k3_pcomps_1(B),k3_pcomps_1(A)) ) ) )).
fof(t13_topmetr3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k3_pcomps_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k3_pcomps_1(A))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( r1_xxreal_0(k5_numbers,E) & r1_xxreal_0(F,1) & r1_xxreal_0(E,F) & r2_tarski(k1_funct_1(B,E),C) & r2_tarski(k1_funct_1(B,F),D) & v4_pre_topc(C,k3_pcomps_1(A)) & v4_pre_topc(D,k3_pcomps_1(A)) & v5_pre_topc(B,k5_topmetr,k3_pcomps_1(A)) & k4_subset_1(u1_struct_0(k3_pcomps_1(A)),C,D) = u1_struct_0(A) & ! [G] : ( v1_xreal_0(G) => ~ ( r1_xxreal_0(E,G) & r1_xxreal_0(G,F) & r2_tarski(k1_funct_1(B,G),k9_subset_1(u1_struct_0(k3_pcomps_1(A)),C,D)) ) ) ) ) ) ) ) ) ) )).
fof(t13_topreal1,axiom,( k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1)) = a_0_0_topreal1 & k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1)) = a_0_1_topreal1 & k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers)) = a_0_2_topreal1 & k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1)) = a_0_3_topreal1 )).
fof(t13_topreal3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k18_euclid(A) = k18_euclid(B) => ( k17_euclid(A) = k17_euclid(B) | r2_tarski(k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k17_euclid(A),k17_euclid(B)),2),k18_euclid(A)),k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) ) )).
fof(t13_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v7_ordinal1(D) => ( ( v4_topreal1(B) & r2_tarski(D,k4_finseq_1(B)) & r2_tarski(k1_nat_1(D,1),k4_finseq_1(B)) & r2_tarski(A,k2_topreal1(2,B,D)) & C = k8_finseq_1(u1_struct_0(k15_euclid(2)),k17_finseq_1(u1_struct_0(k15_euclid(2)),D,B),k12_finseq_1(u1_struct_0(k15_euclid(2)),A)) ) => ( r1_xxreal_0(D,1) | A = k7_partfun1(u1_struct_0(k15_euclid(2)),B,D) | ( v4_topreal1(C) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) = A & r1_topreal4(k3_topreal1(2,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,C),k3_topreal1(2,B)) & k3_topreal1(2,C) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),D,B)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,D),A)) ) ) ) ) ) ) ) )).
fof(t13_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ~ ( v5_pre_topc(B,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(C,k5_topmetr,k3_topmetr) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r2_hidden(D,u1_struct_0(k5_topmetr)) & E = k1_funct_1(B,D) ) => k18_euclid(E) = k1_funct_1(C,D) ) ) ) ) ) ) ) ) )).
fof(t13_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k3_euclid(k10_finseq_1(A,B)) = k10_finseq_1(k9_complex1(A),k9_complex1(B)) ) ) )).
fof(t13_topreal7,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) ) => k3_euclid(k4_rvsum_1(k8_finseq_1(k1_numbers,A,B),k8_finseq_1(k1_numbers,C,D))) = k8_finseq_1(k1_numbers,k3_euclid(k4_rvsum_1(A,C)),k3_euclid(k4_rvsum_1(B,D))) ) ) ) ) ) )).
fof(t13_topreal8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ( r1_xxreal_0(1,A) => k2_graph_2(B,C,k1_nat_1(A,1),k3_finseq_1(C)) = k2_rfinseq(B,A,C) ) ) ) )).
fof(t13_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( C = D => k8_metric_1(k14_euclid(A),D,B) = k1_topreal9(A,C,B) ) ) ) ) ) )).
fof(t13_topreala,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) ) => ( v5_pre_topc(C,A,B) <=> v1_t_0topsp(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) ) )).
fof(t13_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ( r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),1) ) ) ) )).
fof(t13_toprealc,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ( r2_hidden(A,k2_finseq_1(B)) => k12_euclid(k1_funct_7(k5_euclid(B),A,C)) = k9_complex1(C) ) ) ) )).
fof(t13_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k2_toprns_1(k3_xcmplx_0(C,B),A,D) = k2_toprns_1(C,A,k2_toprns_1(B,A,D)) ) ) ) ) )).
fof(t13_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => r1_tarski(k9_subset_1(u1_struct_0(A),B,k2_pre_topc(A,C)),k2_pre_topc(A,k9_subset_1(u1_struct_0(A),B,C))) ) ) ) ) )).
fof(t13_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(B,A) & v1_tops_2(C,A) ) => v1_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(t13_tops_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tops_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & v3_pre_topc(C,A) & r1_xboole_0(k3_subset_1(u1_struct_0(A),B),C) ) ) ) ) ) )).
fof(t13_tops_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ( v1_t_0topsp(B,k15_euclid(A),k3_topmetr) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ? [E] : ( v1_xreal_0(E) & v2_xxreal_0(E) & r1_tarski(k2_rcomp_1(k6_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,C),E),k2_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,C),E)),k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,k1_topreal9(A,C,D))) ) ) ) ) ) ) )).
fof(t13_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( ( r3_relat_2(C,k2_zfmisc_1(A,A)) & r1_transgeo(A,B,C) ) => r1_transgeo(A,k2_funct_2(A,B),C) ) ) ) ) )).
fof(t13_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v1_translac(A) & v7_transgeo(B,A) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_transgeo(u1_struct_0(A),B,B),k6_partfun1(u1_struct_0(A))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),B,k6_partfun1(u1_struct_0(A))) ) ) ) )).
fof(t13_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(k5_numbers,1))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_topmetr(k5_numbers,1))) => ( k3_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k4_treal_1(A,B,C,D),k1_treal_1(A,B)) = C & k3_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k4_treal_1(A,B,C,D),k2_treal_1(A,B)) = D ) ) ) ) ) ) )).
fof(t13_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( r2_tarski(A,k1_trees_1(B)) & r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(A)) ) ) ) )).
fof(t13_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ( B = k1_xboole_0 => k2_trees_2(A,1) = k1_trees_2(A,B) ) ) ) )).
fof(t13_trees_3,axiom,( ! [A] : ( v2_trees_3(k1_tarski(A)) <=> ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) ) )).
fof(t13_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => k9_xtuple_0(k5_trees_4(A,B)) = k12_trees_3(k9_xtuple_0(B)) ) )).
fof(t13_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( m1_trees_1(B,k9_xtuple_0(A)) => r1_tarski(k3_trees_9(k5_trees_2(A,B)),k3_trees_9(A)) ) ) )).
fof(t13_trees_a,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(A,k9_xtuple_0(B)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(D,k9_xtuple_0(k7_trees_2(B,A,C))) & r2_tarski(D,a_2_3_trees_a(A,B)) ) => k1_funct_1(k7_trees_2(B,A,C),D) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(t13_tsep_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_borsuk_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_borsuk_1(C,B) & m1_pre_topc(C,B) ) => ( v1_borsuk_1(C,A) & m1_pre_topc(C,A) ) ) ) ) )).
fof(t13_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tsep_2(A,B,C) & r2_tsep_2(A,D,E) ) => r2_tsep_2(A,k9_subset_1(u1_struct_0(A),B,D),k4_subset_1(u1_struct_0(A),C,E)) ) ) ) ) ) ) )).
fof(t13_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => ( v1_tsp_1(C,A) <=> v6_pre_topc(B) ) ) ) ) ) )).
fof(t13_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_pre_topc(B) & m1_pre_topc(B,A) ) => ? [C] : ( v1_pre_topc(C) & m1_pre_topc(C,A) & m1_pre_topc(B,C) & v2_tsp_2(C,A) ) ) ) )).
fof(t13_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ~ ( v2_turing_1(B,A) & ! [C] : ( v7_ordinal1(C) => ~ ( k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),C)) = u5_turing_1(A) & k10_turing_1(A,B) = k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),C) & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(C,D) & k1_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),k8_nat_1(k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A))),k9_turing_1(A,B),D)) = u5_turing_1(A) ) ) ) ) ) ) ) )).
fof(t13_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ( k1_funct_1(k13_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k9_margrel1(k9_margrel1(A,B),C)) & k1_funct_1(k14_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k9_margrel1(k9_margrel1(k8_margrel1(A),B),C)) & k1_funct_1(k15_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k9_margrel1(k9_margrel1(k8_margrel1(A),k8_margrel1(B)),C)) & k1_funct_1(k4_facirc_1,k11_finseq_1(A,B,C)) = k8_margrel1(k9_margrel1(k9_margrel1(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C))) ) ) ) ) )).
fof(t13_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_unialg_2(A,B) => r1_unialg_2(A,B) ) ) ) )).
fof(t13_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => u1_struct_0(k12_unialg_2(A)) = k1_unialg_3(A) ) )).
fof(t13_uniform1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & v5_pre_topc(C,k5_topmetr,k15_euclid(A)) & ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( k1_funct_1(F,1) = k5_numbers & k1_funct_1(F,k3_finseq_1(F)) = 1 & r1_xxreal_0(5,k3_finseq_1(F)) & r1_tarski(k2_relset_1(k1_numbers,F),u1_struct_0(k5_topmetr)) & v5_valued_0(F) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) => ~ ( r1_xxreal_0(1,G) & ~ r1_xxreal_0(k3_finseq_1(F),G) & H = k1_rcomp_1(k7_partfun1(k1_numbers,F,G),k7_partfun1(k1_numbers,F,k1_nat_1(G,1))) & I = k7_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A)),C,H) & r1_xxreal_0(B,k2_tbsp_1(k14_euclid(A),I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_uniroots,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( v1_int_1(B) => v1_int_1(k2_binop_1(u1_struct_0(k1_complfld),k4_ordinal1,u1_struct_0(k1_complfld),k4_group_1(k1_complfld),B,A)) ) ) ) )).
fof(t13_uproots,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( ( B = k22_pre_poly(A,C) & k3_uproots(A,C) = k4_card_1(B) ) <=> r6_pboole(A,C,k1_uproots(A,B,1)) ) ) ) )).
fof(t13_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(k1_nat_1(A,1))) => ( ~ r2_tarski(B,k1_urysohn1(A)) => ( r2_tarski(k7_xcmplx_0(k6_xcmplx_0(k5_urysohn1(k1_nat_1(A,1),B),1),k11_newton(2,k1_nat_1(A,1))),k1_urysohn1(A)) & r2_tarski(k7_xcmplx_0(k1_nat_1(k5_urysohn1(k1_nat_1(A,1),B),1),k11_newton(2,k1_nat_1(A,1))),k1_urysohn1(A)) ) ) ) ) )).
fof(t13_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_xxreal_2(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( C = k1_integra2(A,B) & A = k1_xxreal_1(k7_supinf_2(A),k8_supinf_2(A)) ) => ( C = k1_xxreal_1(k7_supinf_2(C),k8_supinf_2(C)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( D = k7_supinf_2(A) & E = k8_supinf_2(A) ) => ( k7_supinf_2(C) = k3_xcmplx_0(B,D) & k8_supinf_2(C) = k3_xcmplx_0(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(t13_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_tarski(k3_urysohn3(A,B,C,D,E),k2_urysohn1) ) ) ) ) ) )).
fof(t13_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_valuat_1(E,A,B) => r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,E,k11_cqc_lang(A,C,D)),k3_valuat_1(A,B,C,k8_valuat_1(A,B,E,D))) ) ) ) ) ) )).
fof(t13_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v1_valued_0(A) ) => ? [B] : ( v1_xcmplx_0(B) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = B ) ) ) )).
fof(t13_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( r2_hidden(C,k9_xtuple_0(k45_valued_1(A,B))) => k1_funct_1(k45_valued_1(A,B),C) = k6_xcmplx_0(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) ) )).
fof(t13_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k13_valued_1(k7_valued_1(C,A),B) = k7_valued_1(C,k6_xcmplx_0(A,B)) ) ) ) )).
fof(t13_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( D = E => k1_vectsp_7(A,C,k6_domain_1(u1_struct_0(C),E)) = k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),D)) ) ) ) ) ) ) )).
fof(t13_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ~ v7_struct_0(k1_ranknull(A,B,B,C)) => ( v1_vectsp11(C,A,B) & m1_vectsp11(k4_struct_0(A),A,B,C) ) ) ) ) ) )).
fof(t13_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k5_algstr_0(A,B,C),D) = k5_algstr_0(A,k6_algstr_0(A,B,D),k6_algstr_0(A,C,D)) ) ) ) ) )).
fof(t13_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & k9_algstr_0(A,B) = k4_struct_0(A) ) ) ) )).
fof(t13_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( ( F = D & G = C ) => k3_rlvect_1(E,F,G) = k3_rlvect_1(B,D,C) ) ) ) ) ) ) ) ) )).
fof(t13_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) ) => k2_vectsp_5(A,B,C,C) = C ) ) ) )).
fof(t13_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k3_vectsp_6(A,B,k8_finseq_1(u1_struct_0(B),C,D),E) = k8_finseq_1(u1_struct_0(B),k3_vectsp_6(A,B,C,E),k3_vectsp_6(A,B,D,E)) ) ) ) ) ) )).
fof(t13_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( r1_tarski(C,D) => m1_vectsp_4(k1_vectsp_7(A,B,C),A,k1_vectsp_7(A,B,D)) ) ) ) ) ) )).
fof(t13_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v2_vectsp_7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) => ? [E] : ( v2_vectsp_7(E,A,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(D,E) ) ) ) ) ) )).
fof(t13_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( v1_xreal_0(E) => r2_relset_1(A,u1_struct_0(B),k4_vfunct_1(A,B,k6_vfunct_1(A,B,C,D),E),k6_vfunct_1(A,B,k4_vfunct_1(A,B,C,E),k4_vfunct_1(A,B,D,E))) ) ) ) ) ) )).
fof(t13_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( v1_xcmplx_0(E) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_2(A,B,k3_vfunct_2(A,B,C,D),E),k3_vfunct_2(A,B,k2_vfunct_2(A,B,C,E),k2_vfunct_2(A,B,D,E))) ) ) ) ) ) )).
fof(t13_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( v7_ordinal1(G) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) ) ) ) ) )).
fof(t13_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ! [C] : ( ( v4_yellow_0(C,A) & m1_yellow_0(C,A) ) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => m1_yellow_0(B,C) ) ) ) ) )).
fof(t13_waybel11,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ r2_tarski(B,C) => m2_connsp_2(k3_subset_1(u1_struct_0(A),k5_waybel_0(A,B)),A,C) ) ) ) ) )).
fof(t13_waybel12,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k2_yellow_4(A,B,k6_domain_1(u1_struct_0(A),k4_yellow_0(A))) = k6_domain_1(u1_struct_0(A),k4_yellow_0(A)) ) ) )).
fof(t13_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_waybel_8(k1_yellow_1(k7_waybel_0(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_waybel_8(k1_yellow_1(k7_waybel_0(A))))))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_waybel_8(k1_yellow_1(k7_waybel_0(A)))),B,C) = k5_waybel_0(A,C) ) => v23_waybel_0(B,A,k1_waybel_8(k1_yellow_1(k7_waybel_0(A)))) ) ) ) )).
fof(t13_waybel14,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_tarski(k4_yellow_4(A,k1_waybel_3(A,B),k1_waybel_3(A,C)),k5_waybel_0(A,k12_lattice3(A,B,C))) ) ) ) )).
fof(t13_waybel15,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_yellow_1(A)),u1_struct_0(k2_yellow_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(A)),u1_struct_0(k2_yellow_1(A))))) ) => ( ( v11_quantal1(B) & v22_waybel_0(B,k2_yellow_1(A),k2_yellow_1(A)) ) => v22_waybel_0(k3_waybel_1(k2_yellow_1(A),k2_yellow_1(A),B),k1_yellow_2(k2_yellow_1(A),k2_yellow_1(A),B),k2_yellow_1(A)) ) ) )).
fof(t13_waybel16,axiom,( ! [A] : v2_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))) )).
fof(t13_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_1_waybel17(A,B,C,D)) ) => v5_orders_3(C,A,B) ) ) ) ) )).
fof(t13_waybel18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_tops_2(a_1_0_waybel18(A),k3_waybel18(A,k7_funcop_1(A,k9_waybel18))) & v2_cantor_1(a_1_0_waybel18(A),k3_waybel18(A,k7_funcop_1(A,k9_waybel18))) & m1_subset_1(a_1_0_waybel18(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_waybel18(A,k7_funcop_1(A,k9_waybel18)))))) ) ) )).
fof(t13_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v1_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)) = k6_waybel_0(A,B) ) ) )).
fof(t13_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) => ( ( r1_tarski(B,k6_partfun1(u1_struct_0(A))) & r2_yellow_0(k3_yellow_3(A,A),B) ) => r2_tarski(k2_yellow_0(k3_yellow_3(A,A),B),k6_partfun1(u1_struct_0(A))) ) ) ) )).
fof(t13_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v4_yellow_0(A,A) & v7_yellow_0(A,A) & v8_yellow_0(A,A) & m1_yellow_0(A,A) ) ) )).
fof(t13_waybel22,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => k3_funct_2(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B),k2_waybel22(A,B,C),k4_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A))))) = k4_yellow_0(B) ) ) )).
fof(t13_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_yellow_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => r1_tarski(k5_waybel_0(B,D),k5_waybel_0(A,C)) ) ) ) ) ) )).
fof(t13_waybel24,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( v5_waybel_0(k1_waybel24(A,B,C,D,E),B,C) & v5_waybel_0(k2_waybel24(A,B,C,D,F),A,C) ) ) ) => v5_waybel_0(D,k3_yellow_3(A,B),C) ) ) ) ) ) )).
fof(t13_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) => k1_waybel25(A) = k1_waybel25(B) ) ) ) )).
fof(t13_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v1_waybel25(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & v6_pre_topc(C) & v1_waybel25(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => v22_waybel_0(k3_waybel26(A,B,C,D),k1_waybel26(A,B),k1_waybel26(A,C)) ) ) ) ) )).
fof(t13_waybel27,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( k8_relset_1(A,k2_tarski(k5_ordinal1,1),k5_funct_3(B,A),k1_tarski(1)) = B & k8_relset_1(A,k2_tarski(k5_ordinal1,1),k5_funct_3(B,A),k1_tarski(k5_numbers)) = k6_subset_1(A,B) ) ) )).
fof(t13_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r2_tarski(B,k5_yellow_6(A)) & C = k1_waybel11(A,B) & ! [D] : ( m2_yellow_6(D,A,B) => ( r2_tarski(D,k5_yellow_6(A)) => r1_orders_2(A,k1_waybel_9(A,D),C) ) ) ) => ( C = k1_waybel11(A,B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v1_waybel28(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => r1_orders_2(A,k1_waybel_9(A,k2_waybel28(A,B,D)),C) ) ) ) ) ) ) )).
fof(t13_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v4_waybel11(C) & m1_yellow_9(C,A) ) => u1_pre_topc(B) = u1_pre_topc(C) ) ) ) )).
fof(t13_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_waybel11(B,A) => v3_waybel11(k4_waybel_0(A,B),A) ) ) ) )).
fof(t13_waybel31,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v6_waybel23(B,A) & m1_waybel23(B,A) ) => ( k4_card_1(B) = k1_waybel31(A) <=> B = u1_struct_0(k1_waybel_8(A)) ) ) ) )).
fof(t13_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) ) )).
fof(t13_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => k1_waybel33(A,k2_struct_0(A),B) = k1_waybel11(A,k3_yellow19(A,k2_struct_0(A),B)) ) ) )).
fof(t13_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( m1_subset_1(B,u1_struct_0(k4_waybel34(A))) <=> ( v1_orders_2(B) & v3_lattice3(B) & r2_tarski(u1_struct_0(B),A) ) ) ) ) )).
fof(t13_waybel35,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( ( v1_waybel_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_waybel35(A,B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r2_tarski(E,B) & r2_hidden(k4_tarski(D,E),C) & D != E & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,B) & r2_hidden(k4_tarski(D,F),C) & r2_hidden(k4_tarski(F,E),C) & r2_orders_2(A,D,F) ) ) ) ) ) ) ) ) )).
fof(t13_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( k3_waybel_0(A,C) = k3_waybel_0(B,D) & k4_waybel_0(A,C) = k4_waybel_0(B,D) ) ) ) ) ) ) ) )).
fof(t13_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v5_waybel_1(C,A,B) => v18_waybel_0(C,B,A) ) ) ) ) )).
fof(t13_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(D,A,B) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,k3_waybel_0(A,C)),k3_waybel_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C))) ) ) ) ) ) )).
fof(t13_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v16_waybel_0(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_orders_2(A,B,C) => r1_waybel_3(A,B,C) ) ) ) ) )).
fof(t13_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(C,k5_waybel_4(A,D,B)) <=> r2_hidden(k4_tarski(C,D),B) ) ) ) ) )).
fof(t13_waybel_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => ( ~ ( r2_hidden(A,k2_relset_1(u1_struct_0(B),k4_waybel_5(B,C))) & ! [D] : ~ ( r2_hidden(D,k9_xtuple_0(C)) & A = k4_yellow_2(B,k1_funct_1(C,D)) ) ) & ( ? [D] : ( r2_hidden(D,k9_xtuple_0(C)) & A = k4_yellow_2(B,k1_funct_1(C,D)) ) => r2_hidden(A,k2_relset_1(u1_struct_0(B),k4_waybel_5(B,C))) ) & ~ ( r2_hidden(A,k2_relset_1(u1_struct_0(B),k5_waybel_5(B,C))) & ! [D] : ~ ( r2_hidden(D,k9_xtuple_0(C)) & A = k5_yellow_2(B,k1_funct_1(C,D)) ) ) & ( ? [D] : ( r2_hidden(D,k9_xtuple_0(C)) & A = k5_yellow_2(B,k1_funct_1(C,D)) ) => r2_hidden(A,k2_relset_1(u1_struct_0(B),k5_waybel_5(B,C))) ) ) ) ) )).
fof(t13_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,A) & v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_waybel_4(A,k3_subset_1(u1_struct_0(A),C),B) => v2_waybel_6(B,A) ) ) ) ) )).
fof(t13_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & v1_waybel_7(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & v1_waybel_7(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t13_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v4_orders_2(A) ) => v4_orders_2(B) ) ) ) )).
fof(t13_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_tarski(u1_struct_0(k4_waybel_9(A,B,C)),u1_struct_0(B)) ) ) ) )).
fof(t13_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_group_1(A) = k2_nat_1(k4_card_1(k7_group_3(A,B)),k7_group_1(k1_weddwitt(A,B))) ) ) )).
fof(t13_weierstr,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( v2_compts_1(A,k3_topmetr) => v1_rcomp_1(k1_weierstr(A)) ) ) )).
fof(t13_wellfnd1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_wellfnd1(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k3_rfunct_3(u1_struct_0(A),B)),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),B))) ) => ( ( r1_wellfnd1(A,B,C,D) & r1_wellfnd1(A,B,C,E) ) => r2_funct_2(u1_struct_0(A),B,D,E) ) ) ) ) ) ) )).
fof(t13_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r1_tarski(k1_relat_1(k2_wellord1(B,A)),k1_relat_1(B)) & r1_tarski(k1_relat_1(k2_wellord1(B,A)),A) ) ) )).
fof(t13_wellord2,axiom,( ! [A] : ( v1_relat_1(A) => ~ ( v2_wellord1(A) & ! [B] : ( v3_ordinal1(B) => ~ r4_wellord1(A,k1_wellord2(B)) ) ) ) )).
fof(t13_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(k1_int_2(B),A) <=> r1_int_1(B,A) ) ) ) )).
fof(t13_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_tarski(A,B) & r1_tarski(C,D) ) => r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,D)) ) )).
fof(t13_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k6_xboolean(A,k6_xboolean(A,B)) = k6_xboolean(A,B) ) ) )).
fof(t13_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(4,A) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,A),A),A) ) )).
fof(t13_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k6_xcmplx_0(A,D),k6_xcmplx_0(B,C)) ) ) ) ) ) )).
fof(t13_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k3_xtuple_0(A,B,C),D) => r2_hidden(A,k11_xtuple_0(D)) ) )).
fof(t13_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( r2_hidden(A,k1_numbers) & r1_xxreal_0(B,A) & ~ r2_hidden(B,k1_numbers) & B != k2_xxreal_0 ) ) ) )).
fof(t13_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_tarski(A,k2_xxreal_1(B,C)) => ( r2_tarski(A,k1_xxreal_1(B,C)) & A != C ) ) ) ) )).
fof(t13_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => k2_xxreal_2(k1_tarski(A)) = A ) )).
fof(t13_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ( A != k1_xxreal_0 => ( k3_xxreal_3(k1_xxreal_0,A) = k1_xxreal_0 & k3_xxreal_3(A,k1_xxreal_0) = k2_xxreal_0 ) ) ) )).
fof(t13_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( k8_yellow_3(A,B,k12_lattice3(k3_yellow_3(A,B),C,D)) = k12_lattice3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D)) & k9_yellow_3(A,B,k12_lattice3(k3_yellow_3(A,B),C,D)) = k12_lattice3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) )).
fof(t13_yellow11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_yellow11(A,B,C) = k9_subset_1(u1_struct_0(A),k6_waybel_0(A,B),k5_waybel_0(A,C)) ) ) ) )).
fof(t13_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & C = D ) => ( k1_waybel_3(A,C) = k1_waybel_3(B,D) & k2_waybel_3(A,C) = k2_waybel_3(B,D) ) ) ) ) ) ) )).
fof(t13_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_yellow_8(k1_tarski(u1_struct_0(A)),A,B) & v1_tops_2(k1_tarski(u1_struct_0(A)),A) & m1_subset_1(k1_tarski(u1_struct_0(A)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(t13_yellow14,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_struct_0(A) => v3_yellow_0(A) ) ) )).
fof(t13_yellow15,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m2_finseq_1(E,k5_margrel1) => k3_finseq_1(k1_yellow15(A,k3_finseq_4(k1_zfmisc_1(A),B,C,D),E)) = 3 ) ) ) ) )).
fof(t13_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_yellow16(B,A,C) => k1_yellow_2(A,A,C) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) ) ) ) ) )).
fof(t13_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,D)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k3_waybel18(A,B))) => ( C != D => ( r2_tarski(G,k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,D)),k6_waybel18(A,B,D),F)) <=> r2_tarski(k1_funct_7(G,C,E),k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,D)),k6_waybel18(A,B,D),F)) ) ) ) ) ) ) ) ) ) )).
fof(t13_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_altcat_1(C) ) => ( r2_yellow18(A,B) => ( r2_yellow18(A,C) <=> g2_altcat_1(u1_struct_0(B),u1_altcat_1(B),u2_altcat_1(B)) = g2_altcat_1(u1_struct_0(C),u1_altcat_1(C),u2_altcat_1(C)) ) ) ) ) ) )).
fof(t13_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => k7_subset_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))),B,k1_tarski(k1_xboole_0)) = k2_yellow19(A,k3_yellow19(A,k2_struct_0(A),B)) ) ) )).
fof(t13_yellow20,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k1_yellow20(B,C) = k3_pboole(A,B,C) ) ) )).
fof(t13_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_yellow21(A))) <=> ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) & r2_tarski(B,k2_yellow21(A)) ) ) ) )).
fof(t13_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ( ( v1_yellow_0(A) => v1_yellow_0(B) ) & ( v2_yellow_0(A) => v2_yellow_0(B) ) ) ) ) ) )).
fof(t13_yellow_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( r2_tarski(k1_xboole_0,A) => k3_yellow_0(k1_yellow_1(A)) = k1_xboole_0 ) ) )).
fof(t13_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( v5_orders_3(C,A,B) & r1_lattice3(A,D,E) ) => r1_lattice3(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(t13_yellow_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k1_binop_1(D,F,G) = k1_binop_1(E,F,G) ) ) => r2_funct_2(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C),D,E) ) ) ) ) ) ) )).
fof(t13_yellow_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k2_yellow_4(A,B,B)) ) ) )).
fof(t13_yellow_5,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_orders_2(A,B,C) => r1_orders_2(A,k1_yellow_5(A,B,D),k1_yellow_5(A,C,D)) ) ) ) ) ) )).
fof(t13_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k3_yellow_6(B,k2_yellow_6(A,B,C)) = C ) ) ) )).
fof(t13_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( r2_yellow_0(A,B) | r1_yellow_0(k7_lattice3(A),B) ) => k2_yellow_0(A,B) = k1_yellow_0(k7_lattice3(A),B) ) ) )).
fof(t13_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_tops_2(C,A) & v1_yellow_8(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,D) & v3_pre_topc(D,A) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,C) & r1_tarski(E,D) ) ) ) ) ) ) ) )).
fof(t13_yellow_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( B = k2_xboole_0(C,k1_tarski(A)) | C = k7_subset_1(k1_zfmisc_1(A),B,k1_tarski(A)) ) => k2_cantor_1(A,B) = k2_cantor_1(A,C) ) ) ) )).
fof(t13_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v8_zf_fund1(B,A) & v1_finset_1(C) & ! [D] : ( r2_tarski(D,C) => r2_tarski(D,B) ) ) => r2_tarski(C,B) ) ) ) )).
fof(t13_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => r1_xxreal_0(3,k3_finseq_1(A)) ) )).
fof(t13_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( k15_zf_lang(B,C,D,A) = k7_zf_lang(B,k7_zf_lang(C,k7_zf_lang(D,A))) & k15_zf_lang(B,C,D,A) = k13_zf_lang(B,C,k7_zf_lang(D,A)) ) ) ) ) ) )).
fof(t13_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r1_zf_model(A,B,k4_zf_lang(C,D)) <=> r2_tarski(k3_funct_2(k1_zf_lang,A,B,C),k3_funct_2(k1_zf_lang,A,B,D)) ) ) ) ) ) )).
fof(t13_zf_refle,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => k5_relat_1(B,k4_classes1(A)) = k5_relat_1(B,A) ) ) )).
fof(t13_zfmisc_1,axiom,( ! [A] : ! [B] : k3_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_tarski(A) )).
fof(t13_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,A,C,E) != k3_funct_2(k1_zf_lang,A,D,E) & r2_tarski(E,k2_zf_model(B)) ) ) & r1_zf_model(A,C,B) ) => r1_zf_model(A,D,B) ) ) ) ) ) )).
fof(t13_zfmodel2,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,E,D) => ( r2_tarski(A,k4_zf_lang1(D)) | r1_zf_model(C,k2_zf_lang1(C,E,A,k3_funct_2(k1_zf_lang,C,E,B)),k6_zf_lang1(D,B,A)) ) ) ) ) ) ) ) )).
fof(t13_zfrefle1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k9_funct_2(k2_ordinal1(A),k2_ordinal1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k9_funct_2(k2_ordinal1(A),k2_ordinal1(A))))) ) => ~ ( r2_tarski(k1_card_1(B),k1_card_1(A)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ~ ( v2_ordinal2(D) & v3_ordinal2(D) & k4_ordinal4(A,D,k2_ordinal4(A)) = k2_ordinal4(A) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => k4_ordinal4(A,D,k6_ordinal4(A,E)) = k3_ordinal2(k2_xboole_0(k1_classes2(A,k4_ordinal4(A,D,E)),k7_relat_1(k13_funct_5(B,k2_ordinal1(A),k2_ordinal1(A),C),k2_zfmisc_1(B,k1_classes2(A,k6_ordinal4(A,E)))))) ) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( v4_ordinal1(E) => ( E = k2_ordinal4(A) | k4_ordinal4(A,D,E) = k4_ordinal2(k5_relat_1(D,E)) ) ) ) ) ) ) ) ) ) )).
fof(t13_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => k1_zmodul01(A,k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B) = k4_struct_0(A) ) ) )).
fof(t13_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r2_tarski(E,k4_finseq_1(C)) & B = k1_funct_1(C,E) ) => k1_funct_1(k20_zmodul02(A,C,D),E) = k1_zmodul01(A,B,k3_funct_2(u1_struct_0(A),k4_numbers,D,B)) ) ) ) ) ) ) )).
fof(t13_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul02(C,A) => ~ ( r1_tarski(k18_zmodul02(A,C),u1_struct_0(B)) & ! [D] : ( m1_zmodul02(D,B) => ~ ( k18_zmodul02(B,D) = k18_zmodul02(A,C) & k21_zmodul02(B,D) = k21_zmodul02(A,C) ) ) ) ) ) ) )).
fof(t13_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) => ! [D] : ( m2_zmodul02(D,A,B) => ! [E] : ( v1_int_1(E) => ( C = k7_relset_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),B) => ( E = k5_numbers | r1_struct_0(k1_vectsp_7(k11_gaussint,k5_zmodul04(A),C),k6_eqrel_1(k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k2_zfmisc_1(u1_struct_0(A),k6_subset_1(k4_numbers,k6_domain_1(k4_ordinal1,k5_numbers))),k1_zmodul04(A),k4_tarski(k21_zmodul02(A,D),E))) ) ) ) ) ) ) ) )).
fof(t13_zmodul05,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_numbers)) ) => ( A = k1_xboole_0 => k2_zmodul05(A) = k5_numbers ) ) )).
fof(t13_zmodul06,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => ! [B] : ( v1_int_1(B) => ( A = B => ! [C] : ( v7_ordinal1(C) => k10_nat_1(u1_struct_0(k1_int_3),k3_binom(k1_int_3),C,A) = k3_xcmplx_0(C,B) ) ) ) ) )).
fof(t140_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_xboole_0(B) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => r2_relset_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k55_abcmiz_1(A,B),k6_partfun1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))))) ) ) )).
fof(t140_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_absred_0(A,B,C) => r10_absred_0(A,B,C) ) ) ) ) )).
fof(t140_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k19_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I,J),k19_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J,I)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t140_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,B,k5_bvfunc_1(A,B,C)) ) ) ) )).
fof(t140_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_tarski(k11_finseq_1(B,C,D),k4_finseq_2(3,A)) => ( r2_hidden(B,A) & r2_hidden(C,A) & r2_hidden(D,A) ) ) )).
fof(t140_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,k9_xtuple_0(D)) => k4_funct_6(k11_finseq_1(B,C,D),3,A) = k1_funct_1(D,A) ) ) ) ) )).
fof(t140_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( G != F => k1_funct_1(k10_funct_4(D,E,G,F,A,B,C,H),G) = C ) )).
fof(t140_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v4_glib_001(B,A) <=> v4_glib_001(k6_glib_001(A,B),A) ) ) ) )).
fof(t140_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( k15_group_2(A,B) = a_1_0_group_2(A) => r1_group_2(A,B,k6_group_2(A)) ) ) ) )).
fof(t140_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(k5_numbers,k18_euclid(B)) & ~ r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ~ r1_xxreal_0(k5_numbers,k18_euclid(C)) & ~ r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(C),k12_euclid(C))) & ~ r1_xxreal_0(k7_xcmplx_0(k17_euclid(C),k12_euclid(C)),k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E),k12_euclid(E)),k7_xcmplx_0(k17_euclid(D),k12_euclid(D))) ) ) ) ) ) ) )).
fof(t140_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k16_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k16_member_1(A,C),k16_member_1(B,C)) ) ) ) )).
fof(t140_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msafree4(D,u1_struct_0(A),C,k1_msafree4(u1_struct_0(A),C,B)) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(A,k1_msafree3(A,C)))) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(E)) => ( k1_funct_1(E,F) = k1_domain_1(k1_msafree4(u1_struct_0(A),C,B),u1_struct_0(A),D,B) => k5_trees_2(E,F) = k6_msafree5(A,C,B,D) ) ) ) ) ) ) ) )).
fof(t140_pboole,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => k8_pboole(A,k8_pboole(B,C)) = k8_pboole(k8_pboole(A,B),C) ) ) ) )).
fof(t140_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k8_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k8_relat_1(C,A),k8_relat_1(C,B)) ) )).
fof(t140_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => r1_xxreal_0(k22_rvsum_1(B,C),k2_xcmplx_0(k22_rvsum_1(B,B),k22_rvsum_1(C,C))) ) ) ) )).
fof(t140_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ? [B] : ( m2_finseq_1(B,k1_numbers) & k1_rvsum_1(B) = k1_rvsum_1(A) & k3_finseq_1(B) = k4_card_1(k1_rvsum_1(A)) & v5_valued_0(B) ) ) )).
fof(t140_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D),k5_sheffer1(A,k5_sheffer1(A,B,B),D)),k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,F,B)),k5_sheffer1(A,D,k5_sheffer1(A,F,B)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,k5_sheffer1(A,C,C))),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D)),k5_sheffer1(A,k5_sheffer1(A,D,D),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D))) ) ) ) ) ) ) )).
fof(t140_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( A = k1_tsep_1(A,C,D) & r2_funct_2(u1_struct_0(C),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)),E) & r2_funct_2(u1_struct_0(D),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)),F) ) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),A,B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t140_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ~ ( k4_xboolean(A,B) = k1_xboolean & A != k1_xboolean & B != k1_xboolean ) ) ) )).
fof(t140_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B)) = k2_xcmplx_0(A,k4_xcmplx_0(B)) ) ) )).
fof(t140_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k7_xcmplx_0(A,B),k5_numbers) ) ) ) )).
fof(t140_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => k3_xboole_0(k1_xxreal_1(C,D),k1_xxreal_1(A,B)) = k1_xxreal_1(k4_xxreal_0(C,A),k3_xxreal_0(D,B)) ) ) ) ) )).
fof(t140_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => k3_zf_lang1(k5_zf_lang(A)) = k3_zf_lang1(A) ) )).
fof(t140_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_struct_0(B,k2_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C))) & r1_struct_0(C,k3_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C))) ) ) ) ) ) )).
fof(t141_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k13_abcmiz_1(A)) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => k60_abcmiz_1(A,C,k37_abcmiz_1(A,B)) = k37_abcmiz_1(A,k60_abcmiz_1(A,C,B)) ) ) ) )).
fof(t141_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_absred_0(A,B,C) => r11_absred_0(A,B,C) ) ) ) ) )).
fof(t141_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k20_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I,J),k20_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J,I)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t141_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,B,C),k5_bvfunc_1(A,B,C)) ) ) ) )).
fof(t141_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( r2_hidden(C,k4_finseq_2(A,B)) => ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) ) ) ) )).
fof(t141_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k9_xtuple_0(k5_funct_6(k9_finseq_1(A))) = k9_xtuple_0(A) & ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => k1_funct_1(k5_funct_6(k9_finseq_1(A)),B) = k9_finseq_1(k1_funct_1(A,B)) ) ) ) )).
fof(t141_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ~ ( E != G & E != F & k1_funct_1(k10_funct_4(D,E,G,F,A,B,C,H),E) != B ) )).
fof(t141_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => v4_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) )).
fof(t141_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( k16_group_2(A,B) = a_1_0_group_2(A) => r1_group_2(A,B,k6_group_2(A)) ) ) ) )).
fof(t141_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(k5_numbers,k18_euclid(B)) & ~ r1_xxreal_0(k5_numbers,k18_euclid(C)) & ~ r1_xxreal_0(k7_xcmplx_0(k17_euclid(C),k12_euclid(C)),k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) & ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) & ? [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) & D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E),k12_euclid(E)),k7_xcmplx_0(k17_euclid(D),k12_euclid(D))) ) ) ) ) ) ) )).
fof(t141_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) => r2_tarski(k2_xcmplx_0(B,C),k17_member_1(A,B)) ) ) ) ) )).
fof(t141_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( m1_trees_1(C,A) => ! [D] : ( m1_trees_1(D,A) => ~ ( ~ r1_relset_1(k4_ordinal1,k4_ordinal1,C,D) & ~ r1_relset_1(k4_ordinal1,k4_ordinal1,D,C) & k4_trees_1(k5_trees_1(A,C,B),D) != k4_trees_1(A,D) ) ) ) ) ) )).
fof(t141_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v5_funct_1(C,B) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v5_funct_1(D,B) & v1_partfun1(D,A) & r1_tarski(C,D) ) ) ) )).
fof(t141_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => r1_tarski(k8_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k8_relat_1(C,A),k8_relat_1(C,B))) ) )).
fof(t141_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(A,k1_numbers)) => ( r1_rvsum_1(C,D) => r1_rvsum_1(k11_rvsum_1(A,C,B),D) ) ) ) ) ) )).
fof(t141_seq_4,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_rvsum_1(A) = k1_rvsum_1(B) & v5_valued_0(A) & v5_valued_0(B) ) => A = B ) ) ) )).
fof(t141_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k5_sheffer1(A,D,k5_sheffer1(A,F,B)) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,k5_sheffer1(A,C,C))),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D)),k5_sheffer1(A,k5_sheffer1(A,D,D),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D))) ) ) ) ) ) ) )).
fof(t141_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v5_pre_topc(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & v5_pre_topc(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( A = k1_tsep_1(A,C,D) & r2_funct_2(u1_struct_0(C),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)),E) & r2_funct_2(u1_struct_0(D),u1_struct_0(B),k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)),F) ) => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F)) & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),A,B) & m1_subset_1(k10_tmap_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t141_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k3_xboolean(k6_xboolean(A,A)) = k1_xboolean ) )).
fof(t141_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k2_xcmplx_0(A,B) = k4_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B))) ) ) )).
fof(t141_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k5_numbers,k7_xcmplx_0(A,B)) ) ) ) )).
fof(t141_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => k3_xboole_0(k3_xxreal_1(C,D),k3_xxreal_1(A,B)) = k3_xxreal_1(k4_xxreal_0(C,A),k3_xxreal_0(D,B)) ) ) ) ) )).
fof(t141_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k3_zf_lang1(k6_zf_lang(A,B)) = k2_xboole_0(k3_zf_lang1(A),k3_zf_lang1(B)) ) ) )).
fof(t141_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C)) = k3_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,C,B)) ) ) ) ) )).
fof(t142_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & v15_abcmiz_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ? [C] : ( v1_funct_1(C) & v2_funct_1(C) & v15_abcmiz_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) & ! [D] : ( m1_subset_1(D,k2_abcmiz_1) => ! [E] : ( m1_subset_1(E,k2_abcmiz_1) => ( ( ( r2_tarski(D,k1_relset_1(k2_abcmiz_1,B)) & k1_funct_1(B,D) = k35_abcmiz_1(E,A) ) => ( r2_tarski(E,k1_relset_1(k2_abcmiz_1,C)) & k1_funct_1(C,E) = k35_abcmiz_1(D,A) ) ) & ( ( r2_tarski(E,k1_relset_1(k2_abcmiz_1,C)) & k1_funct_1(C,E) = k35_abcmiz_1(D,A) ) => ( r2_tarski(D,k1_relset_1(k2_abcmiz_1,B)) & k1_funct_1(B,D) = k35_abcmiz_1(E,A) ) ) ) ) ) ) ) ) )).
fof(t142_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_absred_0(A,B,C) => r10_absred_0(A,B,C) ) ) ) ) )).
fof(t142_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ! [J] : ( m1_subset_1(J,k4_aofa_l00(B,C,D)) => ( ( v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k15_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,J),I),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I),J)),G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t142_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,B,C),k2_bvfunc_1(A,C,D)),k2_bvfunc_1(A,D,B)),k2_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k5_bvfunc_1(A,C,D)),k5_bvfunc_1(A,D,B))) ) ) ) ) )).
fof(t142_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k4_finseq_2(B,A),k3_finseq_2(A)) ) ) )).
fof(t142_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k9_xtuple_0(k5_funct_6(k10_finseq_1(A,B))) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & ! [C] : ( r2_hidden(C,k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => k1_funct_1(k5_funct_6(k10_finseq_1(A,B)),C) = k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) ) ) )).
fof(t142_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ~ ( D != E & D != G & D != F & k1_funct_1(k10_funct_4(D,E,G,F,A,B,C,H),D) != A ) )).
fof(t142_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( r2_tarski(C,k28_glib_000(A,k4_glib_001(A,B))) => ( r2_tarski(C,k14_glib_001(A,B)) | v4_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(t142_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( k15_group_2(A,k7_group_2(A)) = k1_tarski(u1_struct_0(A)) & k16_group_2(A,k7_group_2(A)) = k1_tarski(u1_struct_0(A)) ) ) )).
fof(t142_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k7_xcmplx_0(k17_euclid(B),k12_euclid(B)) = A => ( r1_xxreal_0(k5_numbers,k18_euclid(B)) | ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) => ( ~ r1_xxreal_0(k5_numbers,k18_euclid(C)) & k17_euclid(C) = k5_numbers ) ) ) ) ) ) ) )).
fof(t142_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k17_member_1(A,B) = a_2_9_member_1(A,B) ) ) )).
fof(t142_msafree5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(A)) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(A)) => ~ ( ~ r1_relset_1(k4_ordinal1,k4_ordinal1,C,D) & ~ r1_relset_1(k4_ordinal1,k4_ordinal1,D,C) & k5_trees_2(k7_trees_2(A,C,B),D) != k5_trees_2(A,D) ) ) ) ) ) )).
fof(t142_pboole,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => k5_relat_1(k1_funct_4(D,k5_relat_1(C,B)),B) = k5_relat_1(C,B) ) ) )).
fof(t142_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => r1_tarski(k6_subset_1(k8_relat_1(C,A),k8_relat_1(C,B)),k8_relat_1(C,k6_subset_1(A,B))) ) )).
fof(t142_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k16_rvsum_1(k7_finseq_4(A,B,C,D)) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,B),C),D) ) ) ) ) )).
fof(t142_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => k3_seq_4(k4_subset_1(k1_numbers,A,B)) = k3_xxreal_0(k3_seq_4(A),k3_seq_4(B)) ) ) )).
fof(t142_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,C,k5_sheffer1(A,E,B)) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) ) )).
fof(t142_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k7_xboolean(A,k3_xboolean(A)) = k1_xboolean ) )).
fof(t142_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k6_xcmplx_0(A,B)) = k6_xcmplx_0(B,A) ) ) )).
fof(t142_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k5_numbers,k7_xcmplx_0(B,A)) ) ) ) )).
fof(t142_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => k3_xboole_0(k4_xxreal_1(C,D),k4_xxreal_1(A,B)) = k4_xxreal_1(k4_xxreal_0(C,A),k3_xxreal_0(D,B)) ) ) ) ) )).
fof(t142_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k7_zf_lang(B,A)) = k2_xboole_0(k3_zf_lang1(A),k1_tarski(B)) ) ) )).
fof(t142_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v8_zmodul01(B,A) & m1_zmodul01(B,A) ) => ! [C] : ( m3_zmodul01(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,B,C)) = k2_domain_1(u1_struct_0(A),u1_struct_0(A),k9_zmodul01(A,D,C,B)) ) ) ) ) )).
fof(t143_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & v15_abcmiz_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & v15_abcmiz_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ( ! [D] : ( m1_subset_1(D,k2_abcmiz_1) => ! [E] : ( m1_subset_1(E,k2_abcmiz_1) => ( ( r2_tarski(D,k1_relset_1(k2_abcmiz_1,B)) & k1_funct_1(B,D) = k35_abcmiz_1(E,A) ) => ( r2_tarski(E,k1_relset_1(k2_abcmiz_1,C)) & k1_funct_1(C,E) = k35_abcmiz_1(D,A) ) ) ) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( r1_tarski(k45_abcmiz_1(A,D),k1_relset_1(k2_abcmiz_1,B)) => k56_abcmiz_1(A,C,k56_abcmiz_1(A,B,D)) = D ) ) ) ) ) ) )).
fof(t143_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,B,C) & r1_absred_0(A,B,D) ) => r12_absred_0(A,C,D) ) ) ) ) ) )).
fof(t143_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k13_aofa_l00(A,E,F,H,H),I),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I)),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t143_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,B,k1_bvfunc_1(A,C)),k2_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k2_bvfunc_1(A,D,k1_bvfunc_1(A,B))),k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,C,k1_bvfunc_1(A,B)),k2_bvfunc_1(A,D,k1_bvfunc_1(A,C))),k2_bvfunc_1(A,B,k1_bvfunc_1(A,D)))) ) ) ) ) )).
fof(t143_finseq_2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k2_finseq_2(C,A) = k2_finseq_2(B,A) => C = B ) ) ) )).
fof(t143_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k9_xtuple_0(k6_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k9_xtuple_0(A))) & k10_xtuple_0(k6_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k10_xtuple_0(A))) & ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => k1_funct_1(k6_funct_6(k9_finseq_1(A)),k9_finseq_1(B)) = k9_finseq_1(k1_funct_1(A,B)) ) ) ) )).
fof(t143_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( r2_zfmisc_1(D,E,G,F) => k10_xtuple_0(k10_funct_4(D,E,G,F,A,B,C,H)) = k2_enumset1(A,B,C,H) ) )).
fof(t143_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ~ ( r2_tarski(C,k13_glib_001(A,B)) & v11_glib_000(C,A) & C != k3_glib_001(A,B) & C != k4_glib_001(A,B) ) ) ) ) )).
fof(t143_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( k15_group_2(A,B) = k1_tarski(u1_struct_0(A)) => B = A ) ) ) )).
fof(t143_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => k4_struct_0(k15_euclid(2)) = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),k4_struct_0(k15_euclid(2))) ) )).
fof(t143_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ~ ( r2_tarski(C,k17_member_1(A,B)) & ! [D] : ( v1_xcmplx_0(D) => ~ ( C = k2_xcmplx_0(B,D) & r2_hidden(D,A) ) ) ) ) ) )).
fof(t143_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ( r1_tarski(C,D) => C = D ) ) ) ) ) )).
fof(t143_pboole,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_subset_1(D,A) => k1_funct_1(C,D) = k7_partfun1(B,C,D) ) ) ) ) )).
fof(t143_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_tarski(A,B) => r1_tarski(k8_relat_1(C,A),k8_relat_1(C,B)) ) ) )).
fof(t143_rvsum_1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( k3_finseq_1(A) = k3_finseq_1(k12_rvsum_1(A)) & k4_finseq_1(A) = k4_finseq_1(k12_rvsum_1(A)) ) ) )).
fof(t143_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => k2_seq_4(k4_subset_1(k1_numbers,A,B)) = k4_xxreal_0(k2_seq_4(A),k2_seq_4(B)) ) ) )).
fof(t143_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,C,k5_sheffer1(A,E,B)) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),C) ) ) ) ) ) )).
fof(t143_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k3_xboolean(k7_xboolean(A,A)) = k1_xboolean ) )).
fof(t143_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(k4_xcmplx_0(A),B) = k6_xcmplx_0(k4_xcmplx_0(B),A) ) ) )).
fof(t143_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,k7_xcmplx_0(A,B)) & ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(A,k5_numbers) ) & ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k5_numbers,A) ) ) ) ) )).
fof(t143_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(D,B) ) => k3_xboole_0(k1_xxreal_1(C,D),k1_xxreal_1(A,B)) = k1_xxreal_1(A,D) ) ) ) ) ) )).
fof(t143_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k3_zf_lang1(k9_zf_lang(A,B)) = k2_xboole_0(k3_zf_lang1(A),k3_zf_lang1(B)) ) ) )).
fof(t143_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ~ v2_struct_0(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) & v10_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) & l3_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) ) ) )).
fof(t144_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) => ! [D] : ( ( v8_abcmiz_1(D,A) & m1_abcmiz_1(D,A,k13_abcmiz_1(A)) ) => ( C = k6_domain_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),D) => k63_abcmiz_1(A,B,C) = k6_domain_1(k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A)))),k61_abcmiz_1(A,B,D)) ) ) ) ) ) )).
fof(t144_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,B,C) & r1_absred_0(A,D,C) ) => r13_absred_0(A,B,D) ) ) ) ) ) )).
fof(t144_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k14_aofa_l00(A,E,F,H,H),I),k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I)),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t144_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,k1_bvfunc_1(A,C)),k5_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k5_bvfunc_1(A,D,k1_bvfunc_1(A,B))),k2_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,C,k1_bvfunc_1(A,B)),k5_bvfunc_1(A,D,k1_bvfunc_1(A,C))),k5_bvfunc_1(A,B,k1_bvfunc_1(A,D)))) ) ) ) ) )).
fof(t144_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : k3_relat_1(k2_finseq_2(A,B),k17_funcop_1(B,C)) = k2_finseq_2(A,C) ) )).
fof(t144_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k9_xtuple_0(k6_funct_6(k10_finseq_1(A,B))) = k4_card_3(k10_finseq_1(k9_xtuple_0(A),k9_xtuple_0(B))) & k10_xtuple_0(k6_funct_6(k10_finseq_1(A,B))) = k4_card_3(k10_finseq_1(k10_xtuple_0(A),k10_xtuple_0(B))) & ! [C] : ! [D] : ( ( r2_hidden(C,k9_xtuple_0(A)) & r2_hidden(D,k9_xtuple_0(B)) ) => k1_funct_1(k6_funct_6(k10_finseq_1(A,B)),k10_finseq_1(C,D)) = k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,D)) ) ) ) ) )).
fof(t144_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ( ( k9_xtuple_0(I) = k2_enumset1(A,B,C,D) & k1_funct_1(I,A) = E & k1_funct_1(I,B) = F & k1_funct_1(I,C) = G & k1_funct_1(I,D) = H ) => I = k10_funct_4(A,B,C,D,E,F,G,H) ) ) )).
fof(t144_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_glib_001(B,A) & m3_glib_001(B,A) ) => r1_xxreal_0(k3_finseq_1(k12_glib_001(A,B)),k17_glib_000(A)) ) ) )).
fof(t144_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( k16_group_2(A,B) = k1_tarski(u1_struct_0(A)) => B = A ) ) ) )).
fof(t144_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( r1_tarski(A,B) <=> r1_tarski(k17_member_1(A,C),k17_member_1(B,C)) ) ) ) ) )).
fof(t144_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( m1_msualg_6(D,A,k1_msafree3(A,B)) => ( r1_tarski(k9_xtuple_0(C),k9_xtuple_0(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C))) & ! [E] : ( E = a_3_5_msafree5(A,B,C) => k5_relat_1(C,k6_subset_1(k9_xtuple_0(C),E)) = k5_relat_1(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C),k6_subset_1(k9_xtuple_0(C),E)) ) ) ) ) ) ) )).
fof(t144_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k5_relat_1(k1_funct_4(B,C),A) = C ) ) )).
fof(t144_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( r1_tarski(B,C) => r1_tarski(k8_relat_1(B,A),k8_relat_1(C,A)) ) ) ) )).
fof(t144_rvsum_1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k12_rvsum_1(k8_finseq_1(k1_numbers,A,B)) = k8_finseq_1(k1_numbers,k12_rvsum_1(A),k12_rvsum_1(B)) ) ) )).
fof(t144_seq_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => r1_xxreal_0(C,B) ) ) => r1_xxreal_0(k2_seq_4(A),B) ) ) ) )).
fof(t144_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,F,E))),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,B,k5_sheffer1(A,B,B))),D),k5_sheffer1(A,k5_sheffer1(A,E,E),D))) = k5_sheffer1(A,D,k5_sheffer1(A,F,E)) ) ) ) ) ) ) )).
fof(t144_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(A,k9_xboolean(A,B)) = k1_xboolean ) ) )).
fof(t144_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => A = k6_xcmplx_0(k4_xcmplx_0(B),k6_xcmplx_0(k4_xcmplx_0(A),B)) ) ) )).
fof(t144_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k7_xcmplx_0(A,B),k5_numbers) & ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(A,k5_numbers) ) & ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k5_numbers,A) ) ) ) ) )).
fof(t144_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(D,B) ) => k3_xboole_0(k2_xxreal_1(C,D),k1_xxreal_1(A,B)) = k2_xxreal_1(A,D) ) ) ) ) ) )).
fof(t144_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k3_zf_lang1(k10_zf_lang(A,B)) = k2_xboole_0(k3_zf_lang1(A),k3_zf_lang1(B)) ) ) )).
fof(t144_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => v13_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) ) )).
fof(t145_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k38_abcmiz_1(A))) => k63_abcmiz_1(A,B,k4_subset_1(k38_abcmiz_1(A),C,D)) = k4_subset_1(k38_abcmiz_1(A),k63_abcmiz_1(A,B,C),k63_abcmiz_1(A,B,D)) ) ) ) ) )).
fof(t145_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r11_absred_0(A,B,D) & r1_absred_0(A,C,D) ) => r11_absred_0(A,B,C) ) ) ) ) ) )).
fof(t145_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k4_aofa_l00(B,C,D)) => ( ( v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => r2_tarski(k16_aofa_l00(A,E,F,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,k14_aofa_l00(A,E,F,H,H),I),k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,H,I)),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t145_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,B),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,C),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,k5_bvfunc_1(A,B,C)),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t145_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k1_tarski(C)) & v1_funct_1(D) & v1_partfun1(D,k1_tarski(C)) ) => ( D = k17_funcop_1(C,A) => k1_funct_1(k3_relat_1(k7_finseq_2(C),k6_finseq_2(k1_tarski(C),D)),B) = k9_funct_2(k2_finseq_1(B),A) ) ) ) ) )).
fof(t145_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_hidden(A,k9_xtuple_0(B)) & r2_hidden(A,k9_xtuple_0(C)) ) => ! [D] : ! [E] : ( k1_funct_1(k13_funct_3(B,C),A) = k4_tarski(D,E) <=> k1_funct_1(k5_funct_6(k10_finseq_1(B,C)),A) = k10_finseq_1(D,E) ) ) ) ) )).
fof(t145_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( r2_zfmisc_1(A,B,E,H) => k10_funct_4(A,B,E,H,C,D,F,G) = k2_enumset1(k4_tarski(A,C),k4_tarski(B,D),k4_tarski(E,F),k4_tarski(H,G)) ) )).
fof(t145_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( r1_xxreal_0(k3_finseq_1(B),3) => v5_glib_001(B,A) ) ) ) )).
fof(t145_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( k17_group_2(A,B) = k1_card_1(k15_group_2(A,B)) & k17_group_2(A,B) = k1_card_1(k16_group_2(A,B)) ) ) ) )).
fof(t145_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( k17_member_1(A,C) = k17_member_1(B,C) => A = B ) ) ) ) )).
fof(t145_msafree5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ! [D] : ( m1_msualg_6(D,B,k1_msafree3(B,C)) => ! [E] : ( m1_subset_1(E,k3_card_3(u3_msualg_1(B,k1_msafree3(B,C)))) => ( A = a_3_5_msafree5(B,C,E) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(k4_msafree5(B,k1_msafree3(B,C),k1_msafree3(B,C),D,E))) => ~ ( ~ r2_tarski(F,k6_subset_1(k9_xtuple_0(E),A)) & ! [G] : ( m1_trees_1(G,k9_xtuple_0(E)) => ~ ( r2_tarski(G,A) & ? [H] : ( m1_trees_1(H,k9_xtuple_0(k5_trees_2(k4_msafree5(B,k1_msafree3(B,C),k1_msafree3(B,C),D,E),G))) & F = k8_finseq_1(k4_ordinal1,G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t145_pboole,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) ) => ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v5_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,A) & r1_tarski(C,D) ) ) ) )).
fof(t145_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ! [D] : ( v1_relat_1(D) => ( ( r1_tarski(C,D) & r1_tarski(A,B) ) => r1_tarski(k8_relat_1(C,A),k8_relat_1(D,B)) ) ) ) )).
fof(t145_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => m2_finseq_1(A,k1_numbers) ) )).
fof(t145_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)) ) ) ) ) )).
fof(t145_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k9_xboolean(A,k6_xboolean(A,B)) = k1_xboolean ) ) )).
fof(t145_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),C) = k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),C),B) ) ) ) )).
fof(t145_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(A,B) & r1_xxreal_0(k2_xcmplx_0(B,1),A) ) ) ) )).
fof(t145_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( r1_xxreal_0(A,C) => ( r1_xxreal_0(D,B) | k3_xboole_0(k2_xxreal_1(C,D),k1_xxreal_1(A,B)) = k1_xxreal_1(C,B) ) ) ) ) ) ) )).
fof(t145_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k3_zf_lang1(k11_zf_lang(A,B)) = k2_xboole_0(k3_zf_lang1(A),k3_zf_lang1(B)) ) ) )).
fof(t145_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => v14_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) ) )).
fof(t146_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k38_abcmiz_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k38_abcmiz_1(A))) => ( r1_tarski(C,D) => r1_tarski(k63_abcmiz_1(A,B,C),k63_abcmiz_1(A,B,D)) ) ) ) ) ) )).
fof(t146_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r11_absred_0(A,B,D) & r2_absred_0(A,C,D) ) => r11_absred_0(A,B,C) ) ) ) ) ) )).
fof(t146_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( m1_subset_1(F,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [G] : ( ( v4_msualg_1(G,E) & v15_aofa_l00(G,B,E,C) & v17_aofa_l00(G,E) & l5_aofa_l00(G,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [H] : ( ( v24_aofa_l00(H,A,E,G) & v25_aofa_l00(H,A,B,C,D,E,G) & v28_aofa_l00(H,A,B,C,D,E,G) & m1_subset_1(H,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),u1_aofa_l00(E)))) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(E)) => ! [J] : ( m1_subset_1(J,u1_struct_0(E)) => ! [K] : ( m1_msafree4(K,u1_struct_0(E),u3_msualg_1(E,G),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),I)) => ! [L] : ( m1_msafree4(L,u1_struct_0(E),u3_msualg_1(E,G),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),J)) => ! [M] : ( m1_msafree4(M,u1_struct_0(E),u3_msualg_1(E,G),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,G),J)) => ( ( v26_aofa_l00(G,A,B,C,D,E) & r2_tarski(F,k1_funct_1(D,I)) & r2_tarski(k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),G,L,M),H) ) => r2_tarski(k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),G,k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),G,J,L,F,K),k7_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),G,J,M,F,K)),H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t146_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,D),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,C,D),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t146_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_hidden(A,k9_xtuple_0(C)) & r2_hidden(B,k9_xtuple_0(D)) ) => ! [E] : ! [F] : ( k1_binop_1(k15_funct_3(C,D),A,B) = k4_tarski(E,F) <=> k1_funct_1(k6_funct_6(k10_finseq_1(C,D)),k10_finseq_1(A,B)) = k10_finseq_1(E,F) ) ) ) ) )).
fof(t146_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ( ( r2_zfmisc_1(A,B,C,D) & k10_funct_4(A,B,C,D,E,F,G,H) = k10_funct_4(A,B,C,D,I,J,K,L) ) => ( E = I & F = J & G = K & H = L ) ) )).
fof(t146_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ( ( r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) => C = D ) ) ) => v5_glib_001(B,A) ) ) ) )).
fof(t146_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( v1_finset_1(k15_group_2(A,B)) => ( ? [C] : ( v1_finset_1(C) & C = k15_group_2(A,B) & k18_group_2(A,B) = k4_card_1(C) ) & ? [C] : ( v1_finset_1(C) & C = k16_group_2(A,B) & k18_group_2(A,B) = k4_card_1(C) ) ) ) ) ) )).
fof(t146_member_1,axiom,( ! [A] : ( v1_membered(A) => k17_member_1(A,k5_numbers) = A ) )).
fof(t146_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [E] : ( m1_msualg_6(E,A,k1_msafree3(A,B)) => ! [F] : ( ( v2_funct_1(F) & m2_finseq_1(F,k9_xtuple_0(C)) ) => ( ( k10_xtuple_0(F) = a_3_6_msafree5(A,B,C) & r1_tarski(k9_xtuple_0(C),k9_xtuple_0(D)) & k5_relat_1(C,k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) = k5_relat_1(D,k6_subset_1(k9_xtuple_0(C),k10_xtuple_0(F))) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(F)) => k5_trees_2(k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),E,C),k7_partfun1(k9_xtuple_0(C),F,G)) = k5_trees_2(D,k7_partfun1(k9_xtuple_0(C),F,G)) ) ) ) => k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),E,C) = D ) ) ) ) ) ) ) )).
fof(t146_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( r2_pboole(A,B,C) & r2_pboole(A,C,B) ) => r6_pboole(A,B,C) ) ) ) )).
fof(t146_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k8_relat_1(k3_relat_1(B,C),A) = k8_relat_1(B,k8_relat_1(C,A)) ) ) )).
fof(t146_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) & v1_finseq_1(A) ) => m2_finseq_1(A,k2_numbers) ) )).
fof(t146_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,C)),C) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,D),B)) ) ) ) ) )).
fof(t146_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k9_xboolean(A,k8_xboolean(A,B)) = k1_xboolean ) ) )).
fof(t146_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),C) = k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),C),A) ) ) ) )).
fof(t146_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ r1_xxreal_0(A,k6_xcmplx_0(A,1)) ) )).
fof(t146_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( r1_xxreal_0(D,B) => ( r1_xxreal_0(A,C) | k3_xboole_0(k3_xxreal_1(C,D),k1_xxreal_1(A,B)) = k1_xxreal_1(A,D) ) ) ) ) ) ) )).
fof(t146_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k12_zf_lang(B,A)) = k2_xboole_0(k3_zf_lang1(A),k1_tarski(B)) ) ) )).
fof(t146_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( ~ v2_struct_0(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) & v10_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) & v15_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) & l3_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) ) ) )).
fof(t147_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m3_abcmiz_1(C,A) => ( k41_abcmiz_1(A,k64_abcmiz_1(A,B,C)) = k63_abcmiz_1(A,B,k41_abcmiz_1(A,C)) & k42_abcmiz_1(A,k64_abcmiz_1(A,B,C)) = k62_abcmiz_1(A,B,k42_abcmiz_1(A,C)) ) ) ) ) )).
fof(t147_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r11_absred_0(A,B,D) & r3_absred_0(A,C,D) ) => r11_absred_0(A,B,C) ) ) ) ) ) )).
fof(t147_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & v28_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ! [I] : ( m1_msafree4(I,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),H)) => ! [J] : ( m1_msafree4(J,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),H)) => ( ( v26_aofa_l00(F,A,B,C,D,E) & v20_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v13_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v18_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(H,u1_struct_0(B)) ) => ( v1_finset_1(k1_funct_1(D,H)) | r2_tarski(k15_aofa_l00(A,E,F,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J),k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,J,I)),G) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t147_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,D,E)),k9_bvfunc_1(A,F,G)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,D),F)),k5_bvfunc_1(A,k5_bvfunc_1(A,C,E),G)) ) ) ) ) ) ) ) )).
fof(t147_finseq_3,axiom,( ! [A] : ! [B] : k7_funct_6(k9_finseq_1(A),B) = k9_finseq_1(k1_funct_2(A,B)) )).
fof(t147_funct_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( r1_zfmisc_1(A,B,C) => k10_xtuple_0(k9_funct_4(A,B,C,D,E,F)) = k1_enumset1(D,E,F) ) )).
fof(t147_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ( ~ v1_glib_001(B,A) => ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ~ ( ~ r1_xxreal_0(D,C) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) ) )).
fof(t147_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => k7_group_1(A) = k2_nat_1(k7_group_1(B),k18_group_2(A,B)) ) ) )).
fof(t147_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k17_member_1(A,k2_xcmplx_0(B,C)) = k17_member_1(k17_member_1(A,C),B) ) ) ) )).
fof(t147_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v6_msafree5(B) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( m1_msualg_6(D,A,k1_msafree3(A,B)) => ! [E] : ( m2_msafree5(E,A,B,C) => ~ ( E != k1_xboole_0 & ! [F] : ( ( ~ v1_xboole_0(F) & m2_finseq_1(F,u1_struct_0(A)) ) => ! [G] : ( ( v17_msafree5(G,A,B,F) & m2_finseq_1(G,k3_card_3(B)) ) => ~ ( k4_finseq_1(F) = k4_finseq_1(E) & F = k12_mcart_1(E) & G = k11_mcart_1(E) & ? [H] : ( v18_msafree5(H,A,B,F) & m2_finseq_1(H,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & ? [I] : ( v17_msafree5(I,A,B,F) & v20_msafree5(I,A,B,F,G) & v22_msafree5(I,A,B,F,H) & m2_finseq_1(I,k3_card_3(B)) & ! [J] : ( m2_subset_1(J,k4_ordinal1,k4_finseq_1(F)) => k27_msafree5(A,B,F,H,J) = k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,k6_msafree5(A,B,k25_msafree5(A,F,J),k26_msafree5(A,B,F,G,J))) ) & ? [J] : ( v19_msafree5(J,A,B,F,I) & m2_finseq_1(J,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) & v21_msafree5(J,A,B,F,G,I,H) & k18_msafree5(A,B,k25_msafree5(A,F,k10_subset_1(1,k4_finseq_1(F))),k26_msafree5(A,B,F,I,k10_subset_1(1,k4_finseq_1(F))),k28_msafree5(A,B,F,I,J,k10_subset_1(1,k4_finseq_1(F))),k6_msafree5(A,B,k25_msafree5(A,F,k10_subset_1(1,k4_finseq_1(F))),k26_msafree5(A,B,F,G,k10_subset_1(1,k4_finseq_1(F))))) = C & k4_msafree5(A,k1_msafree3(A,B),k1_msafree3(A,B),D,C) = k18_msafree5(A,B,k25_msafree5(A,F,k10_subset_1(k3_finseq_1(F),k4_finseq_1(F))),k26_msafree5(A,B,F,I,k10_subset_1(k3_finseq_1(F),k4_finseq_1(F))),k28_msafree5(A,B,F,I,J,k10_subset_1(k3_finseq_1(F),k4_finseq_1(F))),k27_msafree5(A,B,F,H,k10_subset_1(k3_finseq_1(F),k4_finseq_1(F)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t147_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k9_xtuple_0(k3_relat_1(A,B)) = k8_relat_1(A,k9_xtuple_0(B)) ) ) )).
fof(t147_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),C) = k5_sheffer1(A,C,k5_sheffer1(A,B,E)) ) ) ) ) ) )).
fof(t147_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k10_xboolean(A,A) = k1_xboolean ) )).
fof(t147_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),C) = k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),B),A) ) ) ) )).
fof(t147_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(A,B) & r1_xxreal_0(B,k6_xcmplx_0(A,1)) ) ) ) )).
fof(t147_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(B,D) ) => k3_xboole_0(k3_xxreal_1(C,D),k1_xxreal_1(A,B)) = k3_xxreal_1(C,B) ) ) ) ) ) )).
fof(t147_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k13_zf_lang(B,C,A)) = k2_xboole_0(k3_zf_lang1(A),k2_tarski(B,C)) ) ) ) )).
fof(t147_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => v12_lattices(g3_lattices(k8_zmodul01(A),k10_zmodul01(A),k11_zmodul01(A))) ) )).
fof(t148_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [C] : ( m3_abcmiz_1(C,A) => ! [D] : ( ( v8_abcmiz_1(D,A) & m1_abcmiz_1(D,A,k13_abcmiz_1(A)) ) => k64_abcmiz_1(A,B,k43_abcmiz_1(A,C,D)) = k43_abcmiz_1(A,k64_abcmiz_1(A,B,C),k61_abcmiz_1(A,B,D)) ) ) ) ) )).
fof(t148_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r10_absred_0(A,B,C) => r7_absred_0(A,B,C) ) ) ) ) )).
fof(t148_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( v4_msualg_1(F,E) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & l5_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( ( v24_aofa_l00(G,A,E,F) & v25_aofa_l00(G,A,B,C,D,E,F) & v28_aofa_l00(G,A,B,C,D,E,F) & m1_subset_1(G,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(E)) => ! [I] : ( m1_msafree4(I,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),H)) => ! [J] : ( m1_msafree4(J,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),H)) => ! [K] : ( m1_msafree4(K,u1_struct_0(E),u3_msualg_1(E,F),k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),H)) => ( ( v26_aofa_l00(F,A,B,C,D,E) & v20_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v13_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v18_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & r2_tarski(H,u1_struct_0(B)) ) => ( v1_finset_1(k1_funct_1(D,H)) | r2_tarski(k15_aofa_l00(A,E,F,k13_aofa_l00(A,E,F,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,J),k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,J,K)),k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,I,K)),G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t148_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,E)),k5_bvfunc_1(A,B,C)),k1_bvfunc_1(A,k2_bvfunc_1(A,D,E))),k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,D,B),k9_bvfunc_1(A,E,C)),k5_bvfunc_1(A,D,E)),k1_bvfunc_1(A,k2_bvfunc_1(A,B,C)))) ) ) ) ) ) )).
fof(t148_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : k7_funct_6(k10_finseq_1(A,B),C) = k10_finseq_1(k1_funct_2(A,C),k1_funct_2(B,C)) )).
fof(t148_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v5_glib_001(B,A) <=> v5_glib_001(k6_glib_001(A,B),A) ) ) ) )).
fof(t148_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => r1_nat_d(k7_group_1(B),k7_group_1(A)) ) ) )).
fof(t148_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k17_member_1(k9_member_1(A,B),C) = k9_member_1(k17_member_1(A,C),B) ) ) ) )).
fof(t148_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k3_xboole_0(k10_xtuple_0(B),A),k8_relat_1(k2_relat_1(B),k8_relat_1(B,A))) ) )).
fof(t148_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,C,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))) = k5_sheffer1(A,C,k5_sheffer1(A,D,B)) ) ) ) ) )).
fof(t148_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(C,A),k6_xcmplx_0(C,B)) = k4_xcmplx_0(k6_xcmplx_0(A,B)) ) ) ) )).
fof(t148_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & r1_xxreal_0(k2_xcmplx_0(1,A),k5_numbers) ) ) )).
fof(t148_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( r1_xxreal_0(D,B) => ( r1_xxreal_0(A,C) | k3_xboole_0(k4_xxreal_1(C,D),k1_xxreal_1(A,B)) = k2_xxreal_1(A,D) ) ) ) ) ) ) )).
fof(t148_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k14_zf_lang(B,C,A)) = k2_xboole_0(k3_zf_lang1(A),k2_tarski(B,C)) ) ) ) )).
fof(t148_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => ! [C] : ( ( v1_zmodul01(C) & m1_zmodul01(C,A) ) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,A) ) => ( m1_zmodul01(B,C) => m1_zmodul01(k7_zmodul01(A,B,D),k7_zmodul01(A,C,D)) ) ) ) ) ) )).
fof(t149_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => k56_abcmiz_1(A,D,k56_abcmiz_1(A,C,B)) = k56_abcmiz_1(A,k65_abcmiz_1(A,C,D),B) ) ) ) ) )).
fof(t149_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r11_absred_0(A,B,C) => r7_absred_0(A,B,C) ) ) ) ) )).
fof(t149_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( m1_subset_1(F,k4_aofa_l00(B,C,D)) => ! [G] : ( m1_subset_1(G,k4_aofa_l00(B,C,D)) => ! [H] : ( m1_subset_1(H,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [I] : ( m1_subset_1(I,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [J] : ( ( v4_msualg_1(J,E) & v15_aofa_l00(J,B,E,C) & v17_aofa_l00(J,E) & l5_aofa_l00(J,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [K] : ( ( v24_aofa_l00(K,A,E,J) & v25_aofa_l00(K,A,B,C,D,E,J) & v28_aofa_l00(K,A,B,C,D,E,J) & m1_subset_1(K,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E)))) ) => ! [L] : ( m1_subset_1(L,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E))) => ! [M] : ( m1_subset_1(M,u1_struct_0(E)) => ( ( v18_aofa_l00(J,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v20_aofa_l00(J,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v13_aofa_l00(J,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v12_aofa_l00(J,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v26_aofa_l00(J,A,B,C,D,E) & v19_aofa_l00(J,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v27_aofa_l00(J,A,B,C,D,E) & F = H & r2_tarski(H,k1_funct_1(D,M)) & G = I & r2_tarski(I,k1_funct_1(D,M)) ) => ( F = G | r2_hidden(G,k1_msafree4(u1_struct_0(E),k10_aofa_a00(E,J,u1_aofa_l00(E),L),M)) | v1_finset_1(k1_funct_1(D,M)) | r2_tarski(k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,k16_aofa_l00(A,E,J,L,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,k13_aofa_l00(A,E,J,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,F,G),k6_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,u1_aofa_l00(E),L,H,I)),G)),F),K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t149_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k5_bvfunc_1(A,D,E)),k5_bvfunc_1(A,k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,B,E)),k2_bvfunc_1(A,C,D)),k2_bvfunc_1(A,C,E))) ) ) ) ) ) )).
fof(t149_finseq_3,axiom,( ! [A] : ! [B] : k8_funct_6(A,k9_finseq_1(B)) = k9_finseq_1(k1_funct_2(A,B)) )).
fof(t149_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => v5_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) )).
fof(t149_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,C) => ( B = D => k18_group_2(A,B) = k2_nat_1(k18_group_2(C,D),k18_group_2(A,C)) ) ) ) ) ) )).
fof(t149_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k17_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k17_member_1(A,C),k17_member_1(B,C)) ) ) ) )).
fof(t149_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_relat_1(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => B = k1_xboole_0 ) ) ) )).
fof(t149_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B))),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) ) )).
fof(t149_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k6_xcmplx_0(k5_numbers,A) = k4_xcmplx_0(A) ) )).
fof(t149_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(1,A) & r1_xxreal_0(k6_xcmplx_0(1,A),k5_numbers) ) ) )).
fof(t149_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( r1_xxreal_0(A,C) => ( r1_xxreal_0(D,B) | k3_xboole_0(k4_xxreal_1(C,D),k1_xxreal_1(A,B)) = k3_xxreal_1(C,B) ) ) ) ) ) ) )).
fof(t149_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k15_zf_lang(B,C,D,A)) = k2_xboole_0(k3_zf_lang1(A),k1_enumset1(B,C,D)) ) ) ) ) )).
fof(t149_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(B,C) ) => B = g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_zmodul01(A)) ) ) ) )).
fof(t14_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_abcmiz_0(A))) => ( r1_tarski(C,k2_abcmiz_0(A,B)) <=> r2_tarski(B,k4_abcmiz_0(A,C)) ) ) ) ) )).
fof(t14_abcmiz_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( k1_funct_1(A,k5_numbers) = a_0_0_abcmiz_1 & ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,k1_nat_1(B,1)) = a_2_0_abcmiz_1(A,B) ) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(B,C) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) )).
fof(t14_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k2_abcmiz_1) & k2_xfamily(k1_funct_1(B,k1_xboole_0)) = k8_abcmiz_1 & m1_abcmiz_1(B,A,k14_abcmiz_1(A)) ) | ( k2_xfamily(k1_funct_1(B,k1_xboole_0)) = u1_struct_0(A) & ~ ( ~ ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k20_abcmiz_1) & r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),u4_struct_0(A)) ) & k1_xfamily(k1_funct_1(B,k1_xboole_0)) != k9_abcmiz_1 & k1_xfamily(k1_funct_1(B,k1_xboole_0)) != k10_abcmiz_1 ) ) ) ) ) )).
fof(t14_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,B,C) & r3_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t14_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( k1_absvalue(A) = 1 & r1_xxreal_0(A,k5_numbers) ) ) )).
fof(t14_aescip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ( ! [E] : ( m1_subset_1(E,A) => k3_funct_2(B,A,D,k3_funct_2(A,B,C,E)) = E ) & ! [E] : ( m1_subset_1(E,B) => k3_funct_2(A,B,C,k3_funct_2(B,A,D,E)) = E ) ) => ( v2_funct_1(C) & v2_funct_2(C,B) & v2_funct_1(D) & v2_funct_2(D,A) & D = k2_funct_1(C) & C = k2_funct_1(D) ) ) ) ) ) ) )).
fof(t14_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_aff_1(A,E,C,D) & r2_analoaf(A,B,C,B,D) ) => ( r1_aff_1(A,E,B,C) | C = D ) ) ) ) ) ) ) )).
fof(t14_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v7_aff_2(A) => v11_aff_2(A) ) ) )).
fof(t14_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_aff_1(B,A) => r1_tarski(C,k1_aff_4(A,B,C)) ) ) ) ) )).
fof(t14_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( v1_relat_1(C) & v5_relat_1(C,B) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) & k1_afinsq_1(C) = A ) ) ) )).
fof(t14_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(B,C) => k3_afinsq_2(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(t14_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( r2_tarski(B,k7_afproj(A)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k5_afproj(A,C) & v1_aff_1(C,A) ) ) ) )).
fof(t14_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_afvect0(A,B,C) & r1_afvect0(A,B,D) & C != D & ~ r1_afvect0(A,C,D) ) ) ) ) ) )).
fof(t14_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_unialg_1(C) & v3_unialg_1(C) & v4_unialg_1(C) & l1_unialg_1(C) ) => ( ( r5_alg_1(A,B) & r5_alg_1(B,C) ) => r5_alg_1(A,C) ) ) ) ) )).
fof(t14_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k2_algseq_1(A,k4_struct_0(A))) <=> k1_algseq_1(A,B) = k5_numbers ) ) ) )).
fof(t14_algspec1,axiom,( ! [A] : r6_pboole(A,k1_algspec1(A,k1_xboole_0),k6_partfun1(A)) )).
fof(t14_algstr_4,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_xboole_0(B) <=> v2_struct_0(k9_algstr_4(A,B)) ) ) ) )).
fof(t14_altcat_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( v4_funct_1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => k6_altcat_1(C,D) = k5_relat_1(k6_altcat_1(A,B),k8_mcart_1(B,A,D,C)) ) ) ) ) )).
fof(t14_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => v3_altcat_1(k3_altcat_2(A),u1_struct_0(A),k2_altcat_2(A)) ) )).
fof(t14_altcat_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_setfam_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_altcat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_altcat_1(A))) => ( k1_altcat_1(k7_altcat_1(A),B,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_altcat_1(k7_altcat_1(A),B,C)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( E = D => ( v5_altcat_3(D,k7_altcat_1(A),B,C) <=> v2_funct_2(E,C) ) ) ) ) ) ) ) ) )).
fof(t14_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( ( v11_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v18_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v2_funct_2(k7_functor0(A,B,C,E,D),k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E))) ) ) ) ) ) ) )).
fof(t14_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( m2_subset_1(B,k1_ami_2,k2_ami_2) => ! [C] : ( v1_int_1(C) => k1_funct_1(k7_ami_2(A,B,C),k4_ordinal1) = k1_funct_1(A,k4_ordinal1) ) ) ) )).
fof(t14_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( ? [B] : ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) & k1_funct_1(k2_extpro_1(k5_card_1(2),k1_ami_3,A,B),k4_struct_0(k1_ami_3)) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_ami_3,B),1) ) & v2_extpro_1(A,k5_card_1(2),k1_ami_3) ) ) )).
fof(t14_ami_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( k5_compos_0(u1_compos_1(k1_ami_3),A) = 7 & ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k8_ami_3(B,C) ) ) ) ) )).
fof(t14_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k10_card_3(k6_compos_0(u1_compos_1(k1_ami_3),k5_compos_0(u1_compos_1(k1_ami_3),k9_ami_3(B,A)))),1) = k4_ordinal1 ) ) )).
fof(t14_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k5_ami_wstd(A,B,C) = k1_ami_wstd(A,B,k1_nat_1(k3_ami_wstd(A,B,C),1)) ) ) ) )).
fof(t14_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( v5_amistd_1(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r2_tarski(k5_memstr_0(A,B,D),k1_relset_1(k4_ordinal1,C)) => ! [E] : ( v7_ordinal1(E) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E)),k1_relset_1(k4_ordinal1,C)) ) ) ) ) ) ) ) )).
fof(t14_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ~ ( v4_amistd_1(C,A,B) & r2_tarski(k4_struct_0(B),k3_amistd_4(A,B,C)) ) ) ) ) )).
fof(t14_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_amistd_5(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & v5_amistd_5(B,A) & v6_amistd_5(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v6_memstr_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k11_memstr_0(A,B),k11_memstr_0(A,B)))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_finset_1(E) & ~ v2_compos_1(E,B) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(B)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(A,B)) & ~ v1_xboole_0(F) & v1_finset_1(F) & v4_extpro_1(F,A,B,E) & v5_extpro_1(F,A,B,E) ) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(F)) => ! [G] : ( v7_ordinal1(G) => ( r2_extpro_1(A,B,E,F,C) <=> r2_extpro_1(A,B,k6_compos_1(B,E,G),k9_memstr_0(A,B,F,G),C) ) ) ) ) ) ) ) ) ) )).
fof(t14_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ ( ( r1_analoaf(A,B,D,C,E) | r1_analoaf(A,B,D,E,C) ) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( k1_rlvect_1(A,k5_algstr_0(A,D,B),F) = k1_rlvect_1(A,k5_algstr_0(A,E,C),G) & ~ ( F = k5_numbers & G = k5_numbers ) ) ) ) ) & ~ ( ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & k1_rlvect_1(A,k5_algstr_0(A,D,B),F) = k1_rlvect_1(A,k5_algstr_0(A,E,C),G) & ~ ( F = k5_numbers & G = k5_numbers ) ) ) & ~ r1_analoaf(A,B,D,C,E) & ~ r1_analoaf(A,B,D,E,C) ) ) ) ) ) ) ) )).
fof(t14_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_analoaf(A,B,C,B,D) & ~ r1_analoaf(A,B,C,C,D) & ~ r1_analoaf(A,B,D,D,C) ) ) ) ) ) )).
fof(t14_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_analmetr(A,C,D) => k2_analort(A,C,D,k2_analort(A,C,D,B)) = k4_algstr_0(A,B) ) ) ) ) ) )).
fof(t14_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_anproj_1(A,B,C,D) & r2_anproj_1(A,B,C,E) & r2_anproj_1(A,B,C,F) ) => ( r1_anproj_1(A,B,C) | v9_struct_0(B,A) | v9_struct_0(C,A) | r2_anproj_1(A,D,E,F) ) ) ) ) ) ) ) ) )).
fof(t14_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ~ ( A = k8_domain_1(A,B,C,D) & B != C & B != D & C != D & ! [E] : ( m2_funct_2(E,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [F] : ( m2_funct_2(F,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [G] : ( m2_funct_2(G,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [H] : ( m2_funct_2(H,A,k1_numbers,k9_funct_2(A,k1_numbers)) & ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => H != k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(I,E)),k1_funct_1(k7_funcsdom(A),k4_tarski(J,F))),k1_funct_1(k7_funcsdom(A),k4_tarski(K,G))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ( ( r2_hidden(B,A) & r2_hidden(C,A) & r2_hidden(D,A) & r2_hidden(E,A) & r2_hidden(F,A) & r2_hidden(G,A) & r2_hidden(H,A) & r2_hidden(I,A) & r2_hidden(J,A) ) => r1_tarski(k7_enumset1(B,C,D,E,F,G,H,I,J),A) ) )).
fof(t14_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v19_aofa_a00(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k10_subset_1(k1_funct_1(u7_aofa_a00(A),4),u4_struct_0(A)) => ( k1_msualg_1(A,C) = k1_xboole_0 & k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(t14_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => r2_funct_2(k9_funct_2(A,k4_numbers),k4_numbers,k22_aofa_i00(A,B),k23_aofa_i00(A,k24_aofa_i00(A,B))) ) ) )).
fof(t14_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v3_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l4_aofa_l00(C,A,B) => ( m3_pboole(B,u1_struct_0(A),u3_msualg_1(A,C)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_msafree4(u1_struct_0(A),u3_msualg_1(A,C),D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) => ! [F] : ( m1_subset_1(F,k3_card_3(B)) => ! [G] : ( m1_subset_1(G,k3_card_3(B)) => ! [H] : ( m1_subset_1(H,k3_card_3(u3_msualg_1(A,C))) => ( G = H => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( r2_tarski(F,k1_msafree4(u1_struct_0(A),B,I)) & r2_tarski(G,k1_msafree4(u1_struct_0(A),B,I)) ) => k6_aofa_l00(A,B,C,D,E,F,G) = k7_aofa_l00(A,B,C,D,E,F,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_armstrng,axiom,( ! [A] : ! [B] : ( r2_tarski(B,k7_armstrng(A)) <=> ? [C] : ( m1_subset_1(C,k4_armstrng(A)) & ? [D] : ( m1_subset_1(D,k4_armstrng(A)) & B = k4_tarski(C,D) & r3_armstrng(A,D,C) ) ) ) )).
fof(t14_arrow,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_funct_2(B,k2_arrow(A)),k2_arrow(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k2_arrow(A)),k2_arrow(A)))) ) => ~ ( ! [D] : ( m2_funct_2(D,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ~ ( ! [G] : ( m1_subset_1(G,B) => ~ r1_arrow(k3_funct_2(B,k2_arrow(A),D,G),F,E) ) & r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,D),F,E) ) ) ) ) & ! [D] : ( m2_funct_2(D,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) => ! [E] : ( m2_funct_2(E,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ! [H] : ( m1_subset_1(H,B) => ( ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),D,H),G,F) & r1_arrow(k3_funct_2(B,k2_arrow(A),E,H),G,F) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),E,H),G,F) & r1_arrow(k3_funct_2(B,k2_arrow(A),D,H),G,F) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),D,H),F,G) & r1_arrow(k3_funct_2(B,k2_arrow(A),E,H),F,G) ) & ~ ( ~ r1_arrow(k3_funct_2(B,k2_arrow(A),E,H),F,G) & r1_arrow(k3_funct_2(B,k2_arrow(A),D,H),F,G) ) ) ) => ( ~ ( ~ r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,D),G,F) & r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,E),G,F) ) & ~ ( ~ r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,E),G,F) & r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,D),G,F) ) ) ) ) ) ) ) & r1_xxreal_0(3,k4_card_1(A)) & ! [D] : ( m1_subset_1(D,B) => ? [E] : ( m2_funct_2(E,B,k2_arrow(A),k9_funct_2(B,k2_arrow(A))) & ? [F] : ( m1_subset_1(F,A) & ? [G] : ( m1_subset_1(G,A) & ~ r1_arrow(k3_funct_2(B,k2_arrow(A),E,D),G,F) & r1_arrow(k3_funct_2(k9_funct_2(B,k2_arrow(A)),k2_arrow(A),C,E),G,F) ) ) ) ) ) ) ) ) )).
fof(t14_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => k2_arytm_0(A,k1_arytm_0(B,C)) = k1_arytm_0(k2_arytm_0(A,B),k2_arytm_0(A,C)) ) ) ) )).
fof(t14_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(C,A) & r1_arytm_2(B,C) ) => k7_arytm_2(k1_arytm_1(A,C),B) = k1_arytm_1(A,k1_arytm_1(C,B)) ) ) ) ) )).
fof(t14_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ~ ( A != k11_arytm_3 & ! [B] : ( m1_subset_1(B,k2_arytm_2) => k8_arytm_2(A,B) != k12_arytm_3 ) ) ) )).
fof(t14_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ( k3_arytm_3(A,k1_xboole_0) = A & k2_arytm_3(A,k1_xboole_0) = k1_xboole_0 ) ) )).
fof(t14_asympt_0,axiom,( ! [A] : ( ( ~ v3_xxreal_0(A) & v1_xreal_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_tarski(B,k6_asympt_0(C)) => r2_tarski(B,k6_asympt_0(k3_asympt_0(C,A))) ) ) ) ) )).
fof(t14_asympt_1,axiom,( ~ r2_tarski(k4_asympt_1(k5_numbers),k8_asympt_0(k4_asympt_1(1))) )).
fof(t14_autalg_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ( ( v1_msualg_3(A) & v1_msualg_3(B) ) => v1_msualg_3(k8_pboole(A,B)) ) ) ) )).
fof(t14_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => k1_binop_1(k2_autgroup(A),B,C) = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B) ) ) ) )).
fof(t14_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r3_pre_poly(A,C,B) => k3_bagorder(A,k12_pre_poly(A,B,C)) = k6_xcmplx_0(k3_bagorder(A,B),k3_bagorder(A,C)) ) ) ) ) )).
fof(t14_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( v1_ballot_1(E,C,A,D,B) & C = D ) ) ) ) )).
fof(t14_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_bcialg_1(B,C,k1_bcialg_1(B,D,C)) = C ) ) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t14_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,k2_xcmplx_0(D,C))) = k1_bcialg_1(A,k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D)),k1_bcialg_2(A,k4_struct_0(A),B,C)) ) ) ) ) )).
fof(t14_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_3(A) & l2_bcialg_1(A) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v4_bcialg_3(A) & l2_bcialg_1(A) & ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v5_bcialg_3(A) & l2_bcialg_1(A) ) ) )).
fof(t14_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_4(A,B,D),k1_bcialg_4(A,C,D)),k1_bcialg_1(A,B,C)) ) ) ) ) )).
fof(t14_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_bcialg_5(E,A,B,C,D) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => m1_bcialg_5(E,k1_nat_1(A,F),B,C,k1_nat_1(D,F)) ) ) ) ) ) ) )).
fof(t14_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_1(A,k2_bcialg_6(A,B,k1_nat_1(C,1))) = k1_bcialg_1(A,k2_bcialg_1(A,k2_bcialg_6(A,B,C)),B) ) ) ) )).
fof(t14_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m1_bciideal(B,A) => m2_bcialg_1(B,A) ) ) ) )).
fof(t14_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_bhsp_1(A,k4_struct_0(A),B) = k5_numbers ) ) )).
fof(t14_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(B,A) & v1_bhsp_2(C,A) ) => k1_bhsp_2(A,k2_normsp_1(A,B,C)) = k5_algstr_0(A,k1_bhsp_2(A,B),k1_bhsp_2(A,C)) ) ) ) ) )).
fof(t14_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ? [D] : ( v7_ordinal1(D) & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(D,E) => k8_nat_1(u1_struct_0(A),B,E) = k8_nat_1(u1_struct_0(A),C,E) ) ) ) => r1_bhsp_3(A,B,C) ) ) ) ) )).
fof(t14_bhsp_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( ( v1_binop_1(C,A) & v2_binop_1(C,A) & v1_setwiseo(C,A) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(B)) ) => ( r1_xboole_0(D,E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ( r1_tarski(D,k9_xtuple_0(F)) & r1_tarski(E,k9_xtuple_0(F)) ) => ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(B)) ) => ( G = k2_xboole_0(D,E) => k5_bhsp_5(A,B,C,G,F) = k4_binop_1(A,C,k5_bhsp_5(A,B,C,D,F),k5_bhsp_5(A,B,C,E,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => r2_funct_2(u1_struct_0(B),u1_struct_0(A),k8_bilinear(A,B,C,k3_bilinear(A,B,C,D,E),F),k6_hahnban1(A,B,E,k8_bilinear(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(t14_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k2_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C))) = k9_binarith(A,1,k5_margrel1,k2_binari_2(A,B),k10_binarith(k5_margrel1,k2_binarith(k8_margrel1(C),k8_binarith(A,k3_binarith(A,B),k1_binari_2(A))))) ) ) ) )).
fof(t14_binari_3,axiom,( k3_binarith(1,k10_binarith(k5_margrel1,k6_margrel1)) = k10_binarith(k5_margrel1,k7_margrel1) )).
fof(t14_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_xxreal_0(k2_xcmplx_0(A,B),k6_xcmplx_0(k5_series_1(2,k7_nat_d(C,1)),1)) => k3_binari_2(C,k7_binarith(C,k1_binari_3(C,A),k1_binari_3(C,B))) = k2_xcmplx_0(A,B) ) ) ) ) )).
fof(t14_binarith,axiom,( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ( A = k14_trees_3(k6_margrel1) | A = k14_trees_3(k7_margrel1) ) ) )).
fof(t14_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_algstr_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_binom(A,B,1) = B ) ) )).
fof(t14_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(C,A) => ( r6_binop_1(A,C,B) <=> r4_binop_1(A,C,B) ) ) ) ) ) )).
fof(t14_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(B,k5_margrel1)) => ( C = k5_euclid(B) => k1_funct_1(k1_bintree2(A,B),k3_binarith(B,C)) = k5_series_1(2,B) ) ) ) ) )).
fof(t14_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_boolealg(A,B,k4_lattices(A,C,D)) => ( r3_boolealg(A,B,C) & r3_boolealg(A,B,D) ) ) ) ) ) ) )).
fof(t14_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => k1_tops_1(k2_borsuk_1(A,B),C) = k5_setfam_1(u1_struct_0(k2_borsuk_1(A,B)),k7_borsuk_1(A,B,C)) ) ) ) )).
fof(t14_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,C,D) => ( ( v5_pre_topc(E,k5_topmetr,A) & v5_pre_topc(F,k5_topmetr,A) & k1_funct_1(E,k5_numbers) = B & k1_funct_1(E,1) = C & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D ) => ( v5_pre_topc(k1_borsuk_2(A,B,C,D,E,F),k5_topmetr,A) & k1_funct_1(k1_borsuk_2(A,B,C,D,E,F),k5_numbers) = B & k1_funct_1(k1_borsuk_2(A,B,C,D,E,F),1) = D ) ) ) ) ) ) ) ) )).
fof(t14_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r2_borsuk_3(A,B) & v1_compts_1(A) ) => v1_compts_1(B) ) ) ) )).
fof(t14_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = k4_rcomp_1(B,C) => ( r1_xxreal_0(C,B) | k2_pre_topc(k5_topmetr,A) = k1_rcomp_1(B,C) ) ) ) ) ) )).
fof(t14_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_metric_1)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_metric_1)) => ( r1_xxreal_0(A,B) => k3_metric_1(k7_metric_1,A,B) = k6_xcmplx_0(B,A) ) ) ) )).
fof(t14_borsuk_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ( v3_topmetr(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_xreal_0(B) ) ) ) )).
fof(t14_borsuk_7,axiom,( ! [A] : ( v7_ordinal1(A) => k6_euclid(A,k5_euclid(A)) = k5_euclid(A) ) )).
fof(t14_brouwer,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_brouwer(2,B,A)),u1_struct_0(k2_brouwer(2,B,A))) & v5_pre_topc(C,k2_brouwer(2,B,A),k2_brouwer(2,B,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,B,A)),u1_struct_0(k2_brouwer(2,B,A))))) ) => v2_abian(C) ) ) ) )).
fof(t14_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(G,k5_numbers) & ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(A))) & ? [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(B))) & r1_t_0topsp(k1_pre_topc(C,D),k2_brouwer(A,H,F)) & r1_t_0topsp(k1_pre_topc(C,E),k2_brouwer(B,I,G)) & ~ r1_xboole_0(k1_tops_1(C,D),k1_tops_1(C,E)) & A != B ) ) ) ) ) ) ) ) ) ) )).
fof(t14_bspace,axiom,( ! [A] : k3_bspace(k1_xboole_0,A) = k4_struct_0(k2_bspace) )).
fof(t14_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r1_bvfunc_1(A,k7_bvfunc_2(A,k1_bvfunc_1(A,k6_bvfunc_2(A,B,C,D)),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,k1_bvfunc_1(A,B),C,E),C,D)) ) ) ) ) ) ) )).
fof(t14_bvfunc14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = k9_funct_4(A,B,C,D,E,F) => k10_xtuple_0(G) = k1_enumset1(k1_funct_1(G,A),k1_funct_1(G,B),k1_funct_1(G,C)) ) ) )).
fof(t14_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,B)),k9_bvfunc_1(A,C,B)) ) ) ) )).
fof(t14_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k2_bvfunc_1(A,B,C)),k5_bvfunc_1(A,k1_bvfunc_1(A,B),k1_bvfunc_1(A,C))) ) ) ) )).
fof(t14_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k6_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t14_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t14_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,D,E),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,E)),k12_bvfunc_1(A)) ) ) ) ) ) ) )).
fof(t14_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,C,D),k9_bvfunc_1(A,B,D)),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t14_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),D),k5_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,D))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t14_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_c0sp1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_c0sp1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_c0sp1(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( E = B & F = C & G = D ) => ( D = k8_group_1(k7_c0sp1(A),B,C) <=> ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,k1_numbers,G,H) = k4_real_1(k3_funct_2(A,k1_numbers,E,H),k3_funct_2(A,k1_numbers,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ( B = k4_struct_0(k5_c0sp2(A)) => k5_numbers = k2_normsp_0(k5_c0sp2(A),B) ) ) ) )).
fof(t14_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ! [C] : ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r2_tarski(1,k1_relset_1(k4_ordinal1,k10_finseq_1(B,C))) & r2_tarski(2,k1_relset_1(k4_ordinal1,k10_finseq_1(B,C))) & k1_funct_1(k7_finseq_1(D,k10_finseq_1(B,C)),k1_nat_1(k3_finseq_1(D),1)) = B & k1_funct_1(k7_finseq_1(D,k10_finseq_1(B,C)),k1_nat_1(k3_finseq_1(D),2)) = C ) ) ) )).
fof(t14_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => r1_tarski(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)),k1_relset_1(k4_ordinal1,k8_finseq_1(k3_cqc_lang(A),C,B))) ) ) ) )).
fof(t14_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( r1_tarski(B,C) => r1_tarski(k2_cantor_1(A,B),k2_cantor_1(A,C)) ) ) ) )).
fof(t14_card_1,axiom,( ! [A] : r2_tarski(k1_card_1(A),k1_card_1(k1_zfmisc_1(A))) )).
fof(t14_card_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => k1_card_1(k11_ordinal2(A,B)) = k2_card_2(k1_card_1(A),k1_card_1(B)) ) ) )).
fof(t14_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k5_card_3(A,k1_tarski(B)) = k1_tarski(k1_funct_1(B,A)) ) )).
fof(t14_card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_ordinal1(k4_ordinal1,k1_card_1(k3_finseq_2(A))) ) )).
fof(t14_card_5,axiom,( ! [A] : ( v1_card_1(A) => r2_tarski(A,k3_card_2(2,A)) ) )).
fof(t14_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_card_fil(C,A) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,C) & r1_xboole_0(D,B) ) ) => ( r2_tarski(B,k2_card_fil(A,C,B)) & m1_card_fil(k2_card_fil(A,C,B),A) & r1_tarski(C,k2_card_fil(A,C,B)) ) ) ) ) ) )).
fof(t14_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ~ ( ~ r2_hidden(C,A) & D != E & k4_card_1(k1_card_fin(A,B,D,E)) != k1_card_1(a_5_1_card_fin(A,B,C,D,E)) ) ) ) )).
fof(t14_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ! [C] : ( ( r4_card_lar(A,B) & r1_tarski(B,C) & r1_tarski(C,A) ) => r4_card_lar(A,C) ) ) )).
fof(t14_cardfin2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( k1_afinsq_1(B) = k1_nat_1(k1_afinsq_1(A),1) => ! [C] : ( v1_int_1(C) => ( k5_relat_1(B,k1_afinsq_1(A)) = k24_valued_1(A,C) => k7_afinsq_2(B) = k2_xcmplx_0(k3_xcmplx_0(C,k7_afinsq_2(A)),k1_funct_1(B,k1_afinsq_1(A))) ) ) ) ) ) )).
fof(t14_cat_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k3_cat_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_cat_1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_cat_1(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k3_cat_1(A,B))) => ! [G] : ( m1_cat_1(G,k3_cat_1(A,B),C,D) => ! [H] : ( m1_cat_1(H,k3_cat_1(A,B),E,F) => G = H ) ) ) ) ) ) )).
fof(t14_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_cat_1(B,A,k5_cat_2(A,B)),C) = C ) ) ) )).
fof(t14_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ! [F] : ( m1_subset_1(F,u4_struct_0(C)) => ( A != B => r2_funct_2(k2_tarski(A,B),u4_struct_0(C),k6_cat_3(C,k2_tarski(A,B),k5_funct_4(u4_struct_0(C),A,B,E,F),D),k5_funct_4(u4_struct_0(C),A,B,k1_cat_1(C,D,E),k1_cat_1(C,D,F))) ) ) ) ) ) )).
fof(t14_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_cat_4(A,B) = k10_cat_3(A,B,k1_cat_4(A)) ) ) )).
fof(t14_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ( ( u1_struct_0(A) = u1_struct_0(B) & u4_struct_0(A) = u4_struct_0(B) ) => g1_cat_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A)) = g1_cat_1(u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B)) ) ) ) )).
fof(t14_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v9_cat_6(A) <=> v9_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) )).
fof(t14_cat_7,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ( r2_cat_6(A,B) => ( k1_card_1(k1_cat_6(A)) = k1_card_1(k1_cat_6(B)) & k1_card_1(k6_cat_6(A)) = k1_card_1(k6_cat_6(B)) ) ) ) ) )).
fof(t14_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_catalan1(k1_nat_1(A,1)) = k7_xcmplx_0(k7_newton(k3_xcmplx_0(2,A)),k2_nat_1(k7_newton(A),k7_newton(k1_nat_1(A,1)))) ) )).
fof(t14_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ~ ( A = k3_nat_1(a_1_0_catalan2(B)) & ~ r1_xxreal_0(A,k5_numbers) & v1_catalan2(B) & ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ~ ( k5_relat_1(B,A) = k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,1,k5_numbers),C),k8_funcop_1(k4_ordinal1,1,1)) & v1_catalan2(C) ) ) ) ) ) )).
fof(t14_catalg_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( k7_catalg_1(A,C,E) = k7_catalg_1(B,D,F) => ( A = B & C = D & E = F ) ) )).
fof(t14_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v9_algstr_0(B,A) & v9_algstr_0(C,A) ) => v9_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) ) ) ) ) )).
fof(t14_cayley,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r1_group_6(A,k10_group_6(A,k2_cayley(u1_struct_0(A)),k4_cayley(A))) ) )).
fof(t14_cc0sp1,axiom,( ! [A] : ( l1_clopban2(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v2_cfuncdom(B) & l1_cfuncdom(B) ) => ( g1_cfuncdom(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_clvect_1(A),u3_struct_0(A),u2_struct_0(A)) = B => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) ) ) ) )).
fof(t14_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k1_group_1(k3_cc0sp2(A)) = k1_cc0sp2(A,k6_complex1) ) )).
fof(t14_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( ( v1_partfun1(B,k2_numbers) & v1_partfun1(C,k2_numbers) ) => ( r2_relset_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,k2_valued_1(k2_numbers,k2_numbers,k2_numbers,B,C)),k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,B),k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,C))) & r2_relset_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,k46_valued_1(k2_numbers,k2_numbers,k2_numbers,B,C)),k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,B),k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,C))) & r2_relset_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,k19_valued_1(k2_numbers,k2_numbers,k2_numbers,B,C)),k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,B),k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,A,C))) ) ) ) ) ) )).
fof(t14_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( v1_xreal_0(C) => ( A = a_2_2_cfdiff_1(B,C) => v5_cfdiff_1(A) ) ) ) ) )).
fof(t14_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k1_binop_1(k1_cfuncdom(A),k1_funct_1(k3_cfuncdom(A),k4_tarski(C,B)),k1_funct_1(k3_cfuncdom(A),k4_tarski(D,B))) = k1_funct_1(k3_cfuncdom(A),k4_tarski(k2_xcmplx_0(C,D),B)) ) ) ) ) )).
fof(t14_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,B,C),D),k19_valued_1(A,k2_numbers,k2_numbers,B,k19_valued_1(A,k2_numbers,k2_numbers,C,D))) ) ) ) ) )).
fof(t14_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( v2_cgames_1(B) => ( r2_tarski(B,k8_cgames_1(A)) => r2_tarski(k9_cgames_1(B),k9_cgames_1(A)) ) ) ) )).
fof(t14_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ( v2_funct_1(A) & r1_xxreal_0(B,k3_finseq_1(A)) ) => k4_finseq_4(A,k1_funct_1(A,B)) = B ) ) ) )).
fof(t14_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(B),k3_msafree2(A)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(B,E))) => ( H = k5_relat_1(G,u1_struct_0(B)) => ! [I] : ( v7_ordinal1(I) => k5_relat_1(k5_facirc_1(C,F,G,I),u1_struct_0(B)) = k5_facirc_1(B,E,H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_circcmb3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k10_xtuple_0(k8_finseq_4(A,B,C,D,E)) = k3_enumset1(A,B,C,D,E) )).
fof(t14_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(k2_circcomb(A,B))) => ( C = D => ( k1_msualg_1(k2_circcomb(A,B),D) = k1_msualg_1(B,C) & k2_msualg_1(k2_circcomb(A,B),D) = k2_msualg_1(B,C) ) ) ) ) ) ) )).
fof(t14_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k2_circled1(A,k1_struct_0(A)) = k1_xboole_0 ) )).
fof(t14_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_circtrm1(A,B,D))) => k1_funct_1(u3_msualg_1(k1_circtrm1(A,B,D),k6_circtrm1(A,B,D,C)),E) = k2_circtrm1(A,B,D,E,C) ) ) ) ) ) )).
fof(t14_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(C,k3_msafree2(A)) & r2_tarski(D,k2_relset_1(u1_struct_0(A),k1_msualg_1(A,k4_msafree2(A,C)))) & r1_xxreal_0(k4_circuit1(A,B,C),k4_circuit1(A,B,D)) ) ) ) ) ) )).
fof(t14_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ( v3_funct_1(k9_funct_6(C)) => ( v1_xboole_0(k2_msafree2(A)) | ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ! [E] : ( m1_msafree2(E,A,B) => ( E = k1_funct_1(k9_funct_6(C),k5_numbers) => ! [F] : ( v7_ordinal1(F) => r1_tarski(E,k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),F)) ) ) ) ) ) ) ) ) ) )).
fof(t14_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( v1_xreal_0(D) => ( ( v1_pdiff_7(C,A) & B = k7_funcop_1(C,D) ) => ( r2_pdiff_9(C,A,B) & k1_relset_1(k1_euclid(A),k2_pdiff_9(A,C,B)) = C & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r2_tarski(E,C) => k7_partfun1(k9_funct_2(k1_euclid(A),k1_numbers),k2_pdiff_9(A,C,B),E) = k8_funcop_1(k4_ordinal1,k1_euclid(A),k5_numbers) ) ) ) ) ) ) ) ) )).
fof(t14_classes1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v3_ordinal1(D) => ( ( v4_ordinal1(D) & r2_tarski(B,k3_classes1(A,D)) ) => ( D = k1_xboole_0 | ( ~ r1_tarski(C,B) & C != k9_setfam_1(B) ) | r2_tarski(C,k3_classes1(A,D)) ) ) ) )).
fof(t14_classes2,axiom,( ! [A] : ! [B] : ( r2_tarski(A,k1_card_1(k1_classes1(B))) => r2_tarski(A,k1_classes1(B)) ) )).
fof(t14_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => m1_clvect_1(g1_clvect_1(k5_clopban1(A,B),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k6_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k7_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))),k3_clopban1(u1_struct_0(A),B)) ) ) )).
fof(t14_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( ~ v2_struct_0(k7_clopban2(A)) & v13_algstr_0(k7_clopban2(A)) & v2_rlvect_1(k7_clopban2(A)) & v3_rlvect_1(k7_clopban2(A)) & v4_rlvect_1(k7_clopban2(A)) & v4_vectsp_1(k7_clopban2(A)) & v5_vectsp_1(k7_clopban2(A)) & v3_group_1(k7_clopban2(A)) & l6_algstr_0(k7_clopban2(A)) ) ) )).
fof(t14_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ~ r1_xxreal_0(B,k5_numbers) => k1_normsp_0(A,k4_lopban_4(A,C),B) = k1_normsp_0(A,C,k7_nat_d(B,1)) ) ) ) ) )).
fof(t14_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v3_closure1(k2_msualg_3(A,k5_mssubfam(A,B)),A,B) & m2_pboole(k2_msualg_3(A,k5_mssubfam(A,B)),A,k5_mssubfam(A,B),k5_mssubfam(A,B)) ) ) )).
fof(t14_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ( ~ v1_xboole_0(C) => ! [D] : ( r2_tarski(D,A) => k1_funct_1(k4_closure2(A,B,C),D) = a_4_0_closure2(A,B,C,D) ) ) ) ) )).
fof(t14_closure3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v3_msualg_1(B,A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v4_closure2(k6_msualg_2(A,B),u1_struct_0(A),u3_msualg_1(A,B)) & m1_subset_1(k6_msualg_2(A,B),k1_zfmisc_1(k1_closure2(u1_struct_0(A),u3_msualg_1(A,B)))) ) ) ) )).
fof(t14_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( v1_xcmplx_0(B) => k1_clvect_1(A,k4_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B) = k4_struct_0(A) ) ) )).
fof(t14_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(B,A) & v1_clvect_2(C,A) ) => k1_clvect_2(A,k2_normsp_1(A,B,C)) = k5_algstr_0(A,k1_clvect_2(A,B),k1_clvect_2(A,C)) ) ) ) ) )).
fof(t14_coh_sp,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_partfun1(C,B) & v1_relat_2(C) & v3_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r2_tarski(A,k2_coh_sp(B,C)) <=> m1_toler_1(A,B,C) ) ) )).
fof(t14_cohsp_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => ! [B] : ( ( v1_cohsp_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => r2_tarski(k3_tarski(B),A) ) ) )).
fof(t14_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m2_collsp(B,A) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C != D & r2_tarski(C,B) & r2_tarski(D,B) ) ) ) ) )).
fof(t14_combgras,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ( ( r1_xxreal_0(2,A) & r1_ordinal1(k1_nat_1(A,2),k1_card_1(B)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(k1_combgras(A,B)))) => ( ( v3_combgras(C,A,B) | v4_combgras(C,A,B) ) => v2_combgras(C,k1_combgras(A,B)) ) ) ) ) ) )).
fof(t14_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v4_tbsp_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) => ~ ( v2_tops_2(B,k3_pcomps_1(A)) & v3_finset_1(B) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,B) & v6_tbsp_1(D,A) & ~ r1_xxreal_0(C,k2_tbsp_1(A,D)) ) ) ) ) & v1_xboole_0(k6_setfam_1(u1_struct_0(k3_pcomps_1(A)),B)) ) ) ) ) )).
fof(t14_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ( k4_complex1(A) = k5_numbers & k4_complex1(B) = k5_numbers ) => ( k3_complex1(k3_xcmplx_0(A,B)) = k4_real_1(k3_complex1(A),k3_complex1(B)) & k4_complex1(k3_xcmplx_0(A,B)) = k5_numbers ) ) ) ) )).
fof(t14_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( k9_algstr_0(k1_complfld,A) = k9_algstr_0(k1_complfld,B) => ( A = k4_struct_0(k1_complfld) | B = k4_struct_0(k1_complfld) | A = B ) ) ) ) )).
fof(t14_complsp2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k2_numbers) => ! [D] : ( m2_finseq_2(D,k2_numbers,k4_finseq_2(A,k2_numbers)) => ( C = k9_matrix_5(D,B) => k9_matrix_5(k5_complsp2(A,D),B) = k4_xcmplx_0(C) ) ) ) ) ) )).
fof(t14_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => ! [D] : ( ( v6_compos_0(D,u1_compos_1(A)) & m1_subset_1(D,u1_compos_1(A)) ) => ! [E] : ( ( v6_compos_0(E,u1_compos_1(A)) & m1_subset_1(E,u1_compos_1(A)) ) => k4_card_1(k2_compos_2(A,k2_compos_2(A,k3_compos_2(A,B,C),D),E)) = 5 ) ) ) ) ) )).
fof(t14_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos))) => r1_xxreal_0(k1_funct_1(k18_sin_cos,A),k5_numbers) ) ) )).
fof(t14_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v1_compts_1(A) & v5_pre_topc(C,A,B) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) ) => v1_compts_1(B) ) ) ) ) )).
fof(t14_comput_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_funct_1(A) & v1_comput_1(A) ) => k10_xtuple_0(k3_tarski(A)) = k3_tarski(a_1_1_comput_1(A)) ) )).
fof(t14_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B),C),k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,C),k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C))) ) ) ) )).
fof(t14_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k3_comseq_2(k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B)) = k2_xcmplx_0(k3_comseq_2(A),k3_comseq_2(B)) ) ) )).
fof(t14_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( r2_funct_2(k4_ordinal1,k1_numbers,k7_comseq_3(A),k7_comseq_3(B)) & r2_funct_2(k4_ordinal1,k1_numbers,k8_comseq_3(A),k8_comseq_3(B)) ) => r2_funct_2(k4_ordinal1,k2_numbers,A,B) ) ) ) )).
fof(t14_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => v2_conlat_1(k1_waybel_1(k2_yellow_1(u1_struct_0(A)),k2_yellow_1(u4_struct_0(A)),k3_conlat_1(A),k4_conlat_1(A)),k2_yellow_1(u1_struct_0(A)),k2_yellow_1(u4_struct_0(A))) ) )).
fof(t14_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) ) => ( r1_filter_1(k11_conlat_1(B),A) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B),u1_struct_0(A)))) & v8_lattice6(k2_relset_1(u1_struct_0(A),C),A) & v9_lattice6(k2_relset_1(u1_struct_0(A),D),A) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u4_struct_0(B)) => ( r1_conlat_1(B,E,F) <=> r3_lattices(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,E),k3_funct_2(u4_struct_0(B),u1_struct_0(A),D,F)) ) ) ) ) ) ) ) ) )).
fof(t14_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( ( v3_conmetr(A) & v4_conmetr(A) ) => v1_conmetr(A) ) ) )).
fof(t14_conmetr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v5_conmetr(A) <=> v7_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(t14_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v5_pre_topc(C,A,B) & k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_struct_0(A)) = k2_struct_0(B) & v1_connsp_1(A) ) => v1_connsp_1(B) ) ) ) ) )).
fof(t14_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_connsp_2(A,B) <=> ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v3_pre_topc(C,A) & r2_tarski(B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(k1_pre_topc(A,C))) => ~ ( D = B & r2_tarski(B,k1_tops_1(k1_pre_topc(A,C),k1_connsp_1(k1_pre_topc(A,C),D))) ) ) ) ) ) ) ) )).
fof(t14_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(B,A) & v2_connsp_1(k4_subset_1(u1_struct_0(A),B,C),A) ) => ( B = k1_xboole_0 | r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k1_connsp_3(A,B)) ) ) ) ) ) )).
fof(t14_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( v1_convex1(B,A) & v1_convex1(C,A) & v1_convex1(D,A) ) => v1_convex1(k7_rusub_4(A,k7_rusub_4(A,k1_convex1(A,B,E),k1_convex1(A,C,F)),k1_convex1(A,D,G)),A) ) ) ) ) ) ) ) ) )).
fof(t14_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(C,k3_rlvect_2(A,B)) & ! [D] : ( m1_rlvect_2(D,A) => k3_rlvect_2(A,D) != C ) ) ) ) ) )).
fof(t14_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_convex4(C,A,k6_domain_1(u1_struct_0(A),B)) => k4_convex4(A,C) = k1_clvect_1(A,B,k3_funct_2(u1_struct_0(A),k2_numbers,C,B)) ) ) ) )).
fof(t14_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => m2_subset_1(k5_qc_lang2(A,B,C),k9_qc_lang1(A),k3_cqc_lang(A)) ) ) ) )).
fof(t14_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => k7_cqc_sim1(A,k5_cqc_lang(A)) = k5_numbers ) )).
fof(t14_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ( r2_tarski(k13_cqc_lang(A,C,D),k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A,C,E),k3_cqc_lang(A)) & r2_tarski(k13_cqc_lang(A,C,D),k1_cqc_the1(A,B)) ) => ( r2_tarski(D,k24_qc_lang1(A,C)) | r2_tarski(k13_cqc_lang(A,C,E),k1_cqc_the1(A,B)) ) ) ) ) ) ) ) )).
fof(t14_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( C != D => k13_cqc_lang(A,k12_cqc_lang(A,C,B),D) = k5_qc_lang2(A,C,k13_cqc_lang(A,B,D)) ) ) ) ) ) )).
fof(t14_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => r2_cqc_the3(A,k1_subset_1(k3_cqc_lang(A)),k4_cqc_the1(A)) ) )).
fof(t14_csspace,axiom,( ~ v2_struct_0(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v13_algstr_0(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v2_rlvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v3_rlvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v4_rlvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v2_clvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v3_clvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v4_clvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & v5_clvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) & l1_clvect_1(g1_clvect_1(k9_csspace,k8_csspace(k5_csspace,k9_csspace),k6_csspace(k5_csspace,k9_csspace),k7_csspace(k5_csspace,k9_csspace))) )).
fof(t14_csspace2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A),k55_valued_1(k4_ordinal1,k2_numbers,k2_comseq_2(k4_ordinal1,A))) ) )).
fof(t14_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_csspace4(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_funct_2(A,u1_struct_0(B),k6_csspace4(A,B,C),C) ) ) ) )).
fof(t14_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( v1_dblseq_1(A) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(B,k1_binop_1(A,C,D)) ) ) ) => r1_xxreal_0(B,k1_dblseq_1(A)) ) ) ) )).
fof(t14_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,A,k1_nat_1(B,1),k1_nat_1(C,1)) = k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(B,1),k1_nat_1(C,1)),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),k1_nat_1(B,1),C)),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,k1_nat_1(C,1))),k1_binop_1(k3_dblseq_2(k2_dblseq_2(A)),B,C)) ) ) ) )).
fof(t14_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k9_decomp_1(A),k18_decomp_1(A)) = k8_decomp_1(A) ) )).
fof(t14_dickson,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( v4_relat_2(A) => ( r2_hidden(k4_tarski(B,C),k3_dickson(A)) <=> ( r2_hidden(k4_tarski(B,C),A) & B != C ) ) ) ) )).
fof(t14_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k26_valued_1(k1_numbers,k1_numbers,E,C),B),k1_nat_1(A,1)),D) = k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(E,B),k1_nat_1(A,1)),D)) ) ) ) ) ) )).
fof(t14_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_numbers,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k2_diff_2(k26_valued_1(k1_numbers,k1_numbers,H,A),B,C,D,E,F,G) = k3_xcmplx_0(A,k2_diff_2(H,B,C,D,E,F,G)) ) ) ) ) ) ) ) ) )).
fof(t14_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k26_valued_1(k1_numbers,k1_numbers,F,C)),B),k2_xcmplx_0(A,1)),D) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(E,B),k2_xcmplx_0(A,1)),D),k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(F,B),k2_xcmplx_0(A,1)),D))) ) ) ) ) ) ) )).
fof(t14_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,k1_fdiff_9)) & r2_hidden(B,k1_relset_1(k1_numbers,k1_fdiff_9)) ) => k9_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_fdiff_9),A,B) = k7_xcmplx_0(k3_xcmplx_0(4,k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(A,B)),k17_sin_cos(k6_xcmplx_0(A,B)))),k3_xcmplx_0(k1_square_1(k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A,B)),k19_sin_cos(k6_xcmplx_0(A,B)))),k6_xcmplx_0(A,B))) ) ) ) )).
fof(t14_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r1_orders_2(A,B,C) & ~ r1_orders_2(A,C,B) & ~ ( v2_dilworth(k7_domain_1(u1_struct_0(A),B,C),A) & m1_subset_1(k7_domain_1(u1_struct_0(A),B,C),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t14_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_diraf(A,B,C,D) & r1_diraf(A,C,B,D) ) => B = C ) ) ) ) ) )).
fof(t14_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v2_struct_0(D) & v1_dirort(D) & l1_analmetr(D) ) => ( ( r1_analmetr(A,B,C) & D = k6_analort(A,B,C) ) => ( v6_dirort(D) & v4_dirort(D) & v3_dirort(D) & v2_dirort(D) ) ) ) ) ) ) )).
fof(t14_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => k9_dist_1(A,B) = k10_rvsum_1(k4_dist_1(A,B),k3_finseq_1(B)) ) ) )).
fof(t14_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k3_dist_2(k3_relat_1(B,C)) = k8_relat_1(B,k3_dist_2(C)) ) ) ) )).
fof(t14_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) => ( A = k5_mcart_1(B,C,D,E,F) <=> ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,C) => ! [I] : ( m1_subset_1(I,D) => ! [J] : ( m1_subset_1(J,E) => ( F = k5_domain_1(B,C,D,E,G,H,I,J) => A = H ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_dtconstr,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_dtconstr)) => k18_dtconstr(k5_dtconstr,A) = k6_domain_1(k3_finseq_2(k4_ordinal1),k3_pre_poly(k4_ordinal1,k5_numbers)) ) )).
fof(t14_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k4_struct_0(k8_dualsp01(A)) = k8_funcop_1(k4_ordinal1,u1_struct_0(A),k5_numbers) ) )).
fof(t14_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => u1_struct_0(k17_dualsp01(A)) = u1_struct_0(k16_lopban_1(A,k3_dualsp02)) ) )).
fof(t14_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( m1_dynkin(D,A) & v2_finsub_1(D) & r2_tarski(B,D) & r2_tarski(C,D) ) => r2_tarski(k4_subset_1(A,B,C),D) ) ) ) ) ) )).
fof(t14_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( r1_tarski(k9_xtuple_0(u1_e_siec(A)),u1_struct_0(A)) & r1_tarski(k10_xtuple_0(u1_e_siec(A)),u1_struct_0(A)) & r1_tarski(k9_xtuple_0(u2_e_siec(A)),u1_struct_0(A)) & r1_tarski(k10_xtuple_0(u2_e_siec(A)),u1_struct_0(A)) ) ) )).
fof(t14_ec_pf_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => m1_subset_1(k5_int_1(A,B),u1_struct_0(k9_int_3(B))) ) ) )).
fof(t14_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k8_group_1(A,B,k3_rlvect_1(A,k3_rlvect_1(A,C,D),E)) = k3_rlvect_1(A,k3_rlvect_1(A,k8_group_1(A,B,C),k8_group_1(A,B,D)),k8_group_1(A,B,E)) & k8_group_1(A,B,k5_algstr_0(A,k3_rlvect_1(A,C,D),E)) = k5_algstr_0(A,k3_rlvect_1(A,k8_group_1(A,B,C),k8_group_1(A,B,D)),k8_group_1(A,B,E)) & k8_group_1(A,B,k3_rlvect_1(A,k5_algstr_0(A,C,D),E)) = k3_rlvect_1(A,k5_algstr_0(A,k8_group_1(A,B,C),k8_group_1(A,B,D)),k8_group_1(A,B,E)) & k8_group_1(A,B,k5_algstr_0(A,k5_algstr_0(A,C,D),E)) = k5_algstr_0(A,k5_algstr_0(A,k8_group_1(A,B,C),k8_group_1(A,B,D)),k8_group_1(A,B,E)) & k8_group_1(A,B,k3_rlvect_1(A,k3_rlvect_1(A,k4_algstr_0(A,C),D),E)) = k3_rlvect_1(A,k3_rlvect_1(A,k4_algstr_0(A,k8_group_1(A,B,C)),k8_group_1(A,B,D)),k8_group_1(A,B,E)) & k8_group_1(A,B,k5_algstr_0(A,k3_rlvect_1(A,k4_algstr_0(A,C),D),E)) = k5_algstr_0(A,k3_rlvect_1(A,k4_algstr_0(A,k8_group_1(A,B,C)),k8_group_1(A,B,D)),k8_group_1(A,B,E)) & k8_group_1(A,B,k3_rlvect_1(A,k5_algstr_0(A,k4_algstr_0(A,C),D),E)) = k3_rlvect_1(A,k5_algstr_0(A,k4_algstr_0(A,k8_group_1(A,B,C)),k8_group_1(A,B,D)),k8_group_1(A,B,E)) & k8_group_1(A,B,k5_algstr_0(A,k5_algstr_0(A,k4_algstr_0(A,C),D),E)) = k5_algstr_0(A,k5_algstr_0(A,k4_algstr_0(A,k8_group_1(A,B,C)),k8_group_1(A,B,D)),k8_group_1(A,B,E)) ) ) ) ) ) ) )).
fof(t14_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k9_xtuple_0(B) = k1_endalg(A) & ! [C] : ( r2_hidden(C,k1_endalg(A)) => k1_funct_1(B,C) = k17_funcop_1(k5_numbers,C) ) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_endalg(A)),u1_struct_0(k6_endalg(k6_msualg_1(A),k9_msualg_1(A)))) & v6_group_1(B,k3_endalg(A),k6_endalg(k6_msualg_1(A),k9_msualg_1(A))) & v1_group_6(B,k3_endalg(A),k6_endalg(k6_msualg_1(A),k9_msualg_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_endalg(A)),u1_struct_0(k6_endalg(k6_msualg_1(A),k9_msualg_1(A)))))) ) ) ) ) )).
fof(t14_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => ( k6_ens_1(A,k5_ens_1(A,k3_ens_1(A,B)),B) = B & k6_ens_1(A,B,k5_ens_1(A,k4_ens_1(A,B))) = B ) ) ) )).
fof(t14_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v4_partfun3(A) => ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) & k1_funct_1(A,B) = k18_rvsum_1(A) ) => r1_entropy1(A,B) ) ) ) ) )).
fof(t14_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_tarski(E,F)) )).
fof(t14_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_relset_1(A,A,k5_eqrel_1(A,B,B),B) ) )).
fof(t14_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => r6_pboole(A,k1_equation(A,k2_funct_6(B),B),k1_funct_6(B)) ) )).
fof(t14_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k6_xcmplx_0(k12_euclid(B),k12_euclid(C)),k12_euclid(k7_euclid(A,B,C))) ) ) ) )).
fof(t14_euclid10,axiom,( k19_sin_cos(k7_xcmplx_0(k28_sin_cos,3)) = k7_xcmplx_0(1,2) )).
fof(t14_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => k6_xcmplx_0(k1_square_1(k12_euclid(k4_rvsum_1(A,B))),k1_square_1(k12_euclid(k8_rvsum_1(A,B)))) = k3_xcmplx_0(4,k22_rvsum_1(A,B)) ) ) ) )).
fof(t14_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k1_euclid_3(k6_xcmplx_0(A,B)) = k5_algstr_0(k15_euclid(2),k1_euclid_3(A),k1_euclid_3(B)) ) ) )).
fof(t14_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ~ ( v1_euclid_4(C,A) & ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ~ ( B != D & r2_tarski(D,C) ) ) ) ) ) ) )).
fof(t14_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(3))) => ( D = k4_euclid_5(A,B,C) => ( k1_euclid_5(D) = A & k2_euclid_5(D) = B & k3_euclid_5(D) = C ) ) ) ) ) ) )).
fof(t14_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) => ( D = A | D = B | ( k4_euclid_3(C,D,A) != k7_xcmplx_0(k28_sin_cos,2) & k4_euclid_3(C,D,A) != k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos) ) | k4_euclid_3(A,D,C) = k4_euclid_3(C,D,B) ) ) ) ) ) ) )).
fof(t14_euclid_7,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ~ ( v2_funct_1(A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_finseq_1(A),k4_finseq_1(A)) & v3_funct_2(B,k4_finseq_1(A),k4_finseq_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(A),k4_finseq_1(A)))) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ~ ( C = k1_partfun1(k4_finseq_1(A),k4_finseq_1(A),k4_ordinal1,k4_ordinal1,B,A) & v5_valued_0(C) & k4_finseq_1(A) = k4_finseq_1(C) & k2_relset_1(k4_ordinal1,A) = k2_relset_1(k4_ordinal1,C) ) ) ) ) ) )).
fof(t14_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( r2_tarski(D,k4_euclid_9(A,C,B)) => ( ( A = k5_numbers & r1_xxreal_0(B,k5_numbers) ) | ! [E] : ( ~ r1_xxreal_0(B,k9_complex1(k1_funct_1(k8_rvsum_1(D,C),E))) & ~ r1_xxreal_0(B,k9_complex1(k6_xcmplx_0(k1_funct_1(D,E),k1_funct_1(C,E)))) ) ) ) ) ) ) ) )).
fof(t14_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(D)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(D)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(D)) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(D)) => k8_euclid(D,E,k7_euclid(D,k7_euclid(D,k9_euclid(D,F,A),k9_euclid(D,G,B)),k9_euclid(D,H,C))) = k7_euclid(D,E,k7_euclid(D,k7_euclid(D,k9_euclid(D,F,k4_xcmplx_0(A)),k9_euclid(D,G,k4_xcmplx_0(B))),k9_euclid(D,H,k4_xcmplx_0(C)))) ) ) ) ) ) ) ) ) )).
fof(t14_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v7_euclmetr(A) => v3_euclmetr(A) ) ) )).
fof(t14_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_int_2(A,C) & r1_int_2(B,C) ) => ( A = k5_numbers | C = k5_numbers | r1_int_2(k3_xcmplx_0(A,B),C) ) ) ) ) ) )).
fof(t14_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => k2_euler_2(k1_euler_2(k2_euler_2(C,B),A),B) = k2_euler_2(k1_euler_2(C,A),B) ) ) ) )).
fof(t14_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v3_exchsort(C,B) & r2_tarski(A,k9_xtuple_0(C)) ) => r2_tarski(A,B) ) ) ) ) )).
fof(t14_extens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B)) => ( ( r1_msualg_3(A,k11_msafree(A,C),B,D) & r1_msualg_3(A,k11_msafree(A,C),B,E) & r8_pboole(u1_struct_0(A),k1_msafree(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B),k13_msafree(A,C),D),k1_msafree(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B),k13_msafree(A,C),E)) ) => r8_pboole(u1_struct_0(A),D,E) ) ) ) ) ) ) )).
fof(t14_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) => ( m1_extpro_1(D,A,B,C) <=> r2_extpro_1(A,B,C,D,k17_funcop_1(k1_xboole_0,k7_extpro_1(A,B,C,D))) ) ) ) ) ) )).
fof(t14_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => r1_xxreal_0(k5_numbers,k3_extreal1(A)) ) )).
fof(t14_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => k5_facirc_1(A,B,C,1) = k6_circuit2(A,B,C) ) ) ) )).
fof(t14_facirc_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => k3_msafree2(k3_facirc_2(k1_nat_1(A,1),B,C)) = k2_xboole_0(k3_msafree2(k3_facirc_2(A,B,C)),k3_msafree2(k19_facirc_1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k5_facirc_2(A,B,C)))) ) ) ) )).
fof(t14_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,B)) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(C,A) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( r2_hidden(F,A) & ~ r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(F,C))) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k1_funct_1(B,F),k1_funct_1(B,C)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_fcont_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v3_funct_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => v1_fcont_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) )).
fof(t14_fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_rfunct_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => ( ! [C] : ( v1_xreal_0(C) => k7_relset_1(k1_numbers,k1_numbers,B,A) != k2_limfunc1(C) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t14_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_fdiff_1(B,A) & r1_fdiff_1(C,A) ) => ( r1_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & k1_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) = k6_xcmplx_0(k1_fdiff_1(B,A),k1_fdiff_1(C,A)) ) ) ) ) ) )).
fof(t14_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k26_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k26_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k26_sin_cos),A),B) = k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos,B)),k1_funct_1(k18_sin_cos,B))),k7_xcmplx_0(1,k1_funct_1(k18_sin_cos,B))) ) ) ) ) ) )).
fof(t14_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k16_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k16_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k16_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos,k1_funct_1(k2_sin_cos9,B)),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t14_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_fdiff_1(B,A) & r1_fdiff_1(C,A) ) => ( k1_funct_1(C,A) = k5_numbers | ( r1_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,B,C),A) & k1_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,B,C),A) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_fdiff_1(B,A),k1_funct_1(C,A)),k3_xcmplx_0(k1_fdiff_1(C,A),k1_funct_1(B,A))),k1_square_1(k1_funct_1(C,A))) ) ) ) ) ) ) )).
fof(t14_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r4_fdiff_3(A,B) => ( k1_funct_1(A,B) = k5_numbers | ( r4_fdiff_3(k6_rfunct_1(k1_numbers,k1_numbers,A),B) & k1_fdiff_3(B,k6_rfunct_1(k1_numbers,k1_numbers,A)) = k4_xcmplx_0(k7_xcmplx_0(k1_fdiff_3(B,A),k1_square_1(k1_funct_1(A,B)))) ) ) ) ) ) )).
fof(t14_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(C)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k2_xcmplx_0(A,D) & k1_funct_1(C,D) != k5_numbers ) ) ) ) => ( r2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,C),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,C),B),D) = k4_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k2_xcmplx_0(A,D)))) ) ) ) ) ) ) ) )).
fof(t14_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(B,C) = k4_xcmplx_0(C) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),A),C) = k4_xcmplx_0(k23_sin_cos(k4_xcmplx_0(C))) ) ) ) ) ) ) )).
fof(t14_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos6))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => ( k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(A,E),B) & ~ r1_xxreal_0(k1_funct_1(D,E),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(D,E)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos6),C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos6),C),E) = k7_xcmplx_0(A,k3_square_1(k6_xcmplx_0(1,k1_square_1(k2_xcmplx_0(k3_xcmplx_0(A,E),B))))) ) ) ) ) ) ) ) ) )).
fof(t14_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),A),B) = k7_xcmplx_0(1,k3_xcmplx_0(B,k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k3_taylor_1,B))))) ) ) ) ) ) )).
fof(t14_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_fdiff_9))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_fdiff_9),A),B) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k3_taylor_1,B)),k3_xcmplx_0(B,k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k3_taylor_1,B))))) ) ) ) ) ) )).
fof(t14_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k4_relat_1(u1_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k4_relat_1(u1_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k1_net_1(A),u4_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k4_relat_1(u1_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k4_relat_1(u1_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k1_net_1(A),u1_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k4_relat_1(u4_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k1_net_1(A),u1_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)),k4_relat_1(u4_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)) & k4_xboole_0(k2_xboole_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k4_relat_1(u4_struct_0(A))),k4_relat_1(k2_net_1(A))) = k5_relat_1(k1_net_1(A),u4_struct_0(A)) ) ) )).
fof(t14_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( C != k5_numbers & r1_xxreal_0(k2_xcmplx_0(C,B),A) & r1_xxreal_0(A,B) ) ) ) ) )).
fof(t14_fib_num3,axiom,( k1_fib_num3(2) = 3 )).
fof(t14_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(k2_power(k2_fib_num,A),k4_xcmplx_0(k7_xcmplx_0(1,2))) ) ) )).
fof(t14_filerec1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_finseq_1(E,D) => ( E = k11_finseq_1(A,B,C) => k17_finseq_1(D,2,E) = k10_finseq_1(A,B) ) ) ) )).
fof(t14_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ~ v1_xboole_0(u1_struct_0(A)) & v19_lattices(u1_struct_0(A),A) & v20_lattices(u1_struct_0(A),A) & m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(t14_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => m2_filter_1(u1_lattices(A),u1_struct_0(A),k9_filter_0(A,B)) ) ) )).
fof(t14_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) <=> r2_tarski(k3_lattices(A,C,D),B) ) ) ) => ( v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t14_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k9_fin_topo(A,B),k9_fin_topo(A,C)) ) ) ) ) )).
fof(t14_finance1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k4_xcmplx_0(1)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [F] : ( m1_finance1(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_finance1(A,k1_numbers,B,k12_prob_1)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_finance1(A,k1_numbers,B,k12_prob_1)))) ) => ( ( r1_funct_2(A,k1_numbers,A,k1_tarski(k2_xcmplx_0(1,D)),k9_finance1(k5_numbers,A,k1_numbers,B,k12_prob_1,k6_finance1(A,k1_numbers,B,k12_prob_1),G),k7_funcop_1(A,k2_xcmplx_0(1,D))) & r1_xxreal_0(k4_finance1(C,E,F),k5_numbers) ) => ( r1_tarski(a_5_0_finance1(A,B,C,E,G),a_7_0_finance1(A,B,C,D,E,F,G)) & r1_tarski(a_5_1_finance1(A,B,C,E,G),a_7_1_finance1(A,B,C,D,E,F,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_finance2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k9_setfam_1(k1_numbers),B,C) = k8_nat_1(k9_setfam_1(k1_numbers),k2_prob_3(k1_numbers,A),C) ) ) ) )).
fof(t14_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) => A = B ) ) ) )).
fof(t14_finseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => m2_finseq_1(k11_finseq_1(B,C,D),A) ) ) ) ) )).
fof(t14_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xboole_0(k2_finseq_1(A),k1_tarski(k1_nat_1(A,1))) ) )).
fof(t14_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_finseq_4(A,B) => r1_finseq_4(A,k1_finseq_4(A,B)) ) ) )).
fof(t14_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( k3_finseq_1(B) = 1 => B = k12_finseq_1(A,k7_partfun1(A,B,1)) ) ) ) )).
fof(t14_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => k5_relat_1(k7_finseq_1(A,B),k2_finseq_1(k2_xcmplx_0(k3_finseq_1(A),C))) = k7_finseq_1(A,k5_relat_1(B,k2_finseq_1(C))) ) ) ) )).
fof(t14_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => k1_finseq_7(A,k2_finseq_4(A,B,C),2,D) = k2_finseq_4(A,B,D) ) ) ) ) )).
fof(t14_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( k3_finseq_8(A,k8_finseq_1(A,B,C),C) = C & k3_finseq_8(A,B,k8_finseq_1(A,B,C)) = B ) ) ) ) )).
fof(t14_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [G] : ( m2_finseq_1(G,A) => r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,F,k8_finseq_1(A,G,k12_finseq_1(A,D)),E),k8_finseq_1(C,k2_finseqop(A,B,C,F,G,E),k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)))) ) ) ) ) ) ) ) )).
fof(t14_finset_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( v1_finset_1(A) & r1_tarski(A,k2_zfmisc_1(B,C)) & ! [D] : ~ ( v1_finset_1(D) & r1_tarski(D,B) & r1_tarski(A,k2_zfmisc_1(D,C)) ) ) )).
fof(t14_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => k1_finsop_1(A,k3_finseq_4(A,B,C,D),E) = k4_binop_1(A,E,k4_binop_1(A,E,B,C),D) ) ) ) ) ) )).
fof(t14_finsub_1,axiom,( ! [A] : ( v1_finset_1(A) => k5_finsub_1(A) = k1_zfmisc_1(A) ) )).
fof(t14_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k7_fin_topo(A,C)) <=> ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k1_fintopo2(A,B,D,C) = k7_margrel1 & k2_fintopo2(A,B,E,C) = k7_margrel1 ) ) & k4_fintopo2(A,B,C) = k6_margrel1 ) ) ) ) ) )).
fof(t14_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_fintopo3(A,B,k5_numbers) = B ) ) )).
fof(t14_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r2_fintopo4(A,B,D,k5_numbers) => r2_fintopo4(A,B,D,C) ) ) ) ) ) )).
fof(t14_fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v3_orders_2(k5_fintopo5(A,B)) ) ) )).
fof(t14_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_fintopo6(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( ( E = C & F = D & r1_fintopo4(B,E,F) ) => r1_fintopo4(A,C,D) ) ) ) ) ) ) ) )).
fof(t14_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ( k6_flang_1(A,B,C) = k4_flang_1(A,k2_flang_1(A)) <=> ( B = k4_flang_1(A,k2_flang_1(A)) & C = k4_flang_1(A,k2_flang_1(A)) ) ) ) ) )).
fof(t14_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(A))) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(B,k7_flang_1(A,D,E)) & r1_tarski(C,k7_flang_1(A,D,F)) ) => r1_tarski(k6_flang_1(A,B,C),k7_flang_1(A,D,k2_xcmplx_0(E,F))) ) ) ) ) ) ) )).
fof(t14_flang_3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(B,C) & B != k2_flang_1(A) & k1_flang_3(A,C,D) = k4_flang_1(A,k2_flang_1(A)) ) ) ) )).
fof(t14_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_2(B,k3_finseq_2(A),k3_finseq_2(k3_finseq_2(A))) ) => k3_funct_2(k3_finseq_2(k3_finseq_2(A)),k3_finseq_2(A),k9_fomodel0(A),B) = k1_funct_1(k6_fomodel0(k3_finseq_2(A),k11_monoid_0(A)),B) ) ) )).
fof(t14_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( v1_funct_1(k28_fomodel1(A)) & v1_funct_2(k28_fomodel1(A),k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A)))) & m1_subset_1(k28_fomodel1(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k3_finseq_2(k15_fomodel1(A)))))) ) ) )).
fof(t14_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v15_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => ( ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),C) != k31_fomodel2(A) => k13_fomodel2(A,B,D,C) = k1_funct_1(k1_funct_1(D,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),C)),k3_relat_1(k34_fomodel1(A,C),k9_fomodel2(A,B,D))) ) & ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),C) = k31_fomodel2(A) => k13_fomodel2(A,B,D,C) = k1_funct_1(k2_fomodel2(B),k3_relat_1(k34_fomodel1(A,C),k9_fomodel2(A,B,D))) ) ) ) ) ) ) )).
fof(t14_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( ( v4_fomodel1(E,D) & m1_subset_1(E,k1_fomodel1(D)) ) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(D),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(D,B)) => ( v10_fomodel2(A,B,D,F) => ( v7_fomodel2(E,A,D) | v10_fomodel2(A,B,D,k34_fomodel2(D,B,F,E,C)) ) ) ) ) ) ) ) )).
fof(t14_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) => ( ! [C] : ( m2_funct_2(C,k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)),k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A)))) => ( r2_tarski(C,B) => v16_fomodel4(C,A) ) ) => v15_fomodel4(B,A) ) ) ) )).
fof(t14_frechet,axiom,( ! [A] : ! [B] : ! [C] : k9_xtuple_0(k1_funct_4(k6_partfun1(A),k7_funcop_1(B,C))) = k2_xboole_0(A,B) )).
fof(t14_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_frechet2(A,B),k2_pre_topc(A,B)) ) ) )).
fof(t14_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) ) => k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) ) ) ) ) ) ) ) )).
fof(t14_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k4_fscirc_1(A,B,C)) = k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)),k1_tarski(k6_fscirc_1(A,B,C))) )).
fof(t14_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & l2_fsm_1(C,A,B) ) => ? [D] : ( ~ v2_struct_0(D) & v8_struct_0(D) & l3_fsm_1(D,A,B) & r3_fsm_1(A,B,C,D) ) ) ) ) )).
fof(t14_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ( v3_fsm_2(B,A) & v1_fsm_2(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E != u2_fsm_1(A,B) => k1_funct_1(k2_fsm_1(A,B,E,k12_finseq_1(A,C)),2) = k1_funct_1(k2_fsm_1(A,B,E,k12_finseq_1(A,D)),2) ) ) ) ) ) ) ) )).
fof(t14_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_fsm_3(C,A,B) ) => u1_struct_0(k2_fsm_3(A,B,C)) = k1_zfmisc_1(u1_struct_0(C)) ) ) ) )).
fof(t14_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_tarski(A,u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(B,u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(C,u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(D,u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(E,u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k24_gfacirc1(A,B,C),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k3_gfacirc1),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k2_twoscomp),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k3_facirc_1),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k21_gfacirc1(A,B,C),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k4_gfacirc1),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k36_gfacirc1(k24_gfacirc1(A,B,C),E,D),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k2_twoscomp),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(E,D),k3_gfacirc1),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp),u1_struct_0(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k33_gfacirc1(k24_gfacirc1(A,B,C),E,D),u1_struct_0(k7_ftacell1(A,B,C,D,E))) ) )).
fof(t14_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(C,B) => k8_relat_1(k2_funcop_1(A,C),B) = A ) )).
fof(t14_funcsdom,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( m2_funct_2(D,C,k1_numbers,k9_funct_2(C,k1_numbers)) => k1_binop_1(k5_funcsdom(C),k1_binop_1(k7_funcsdom(C),A,D),k1_binop_1(k7_funcsdom(C),B,D)) = k1_binop_1(k7_funcsdom(C),k2_xcmplx_0(A,B),D) ) ) ) )).
fof(t14_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(A,k10_xtuple_0(k3_relat_1(B,C))) => r2_hidden(A,k10_xtuple_0(C)) ) ) ) )).
fof(t14_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( k2_relset_1(B,D) = B & k2_relset_1(C,E) = C ) => ( C = k1_xboole_0 | k2_relset_1(C,k1_partfun1(A,B,B,C,D,E)) = C ) ) ) ) )).
fof(t14_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,k1_zfmisc_1(k9_xtuple_0(B))) => k7_relat_1(B,k3_tarski(A)) = k3_tarski(k7_relat_1(k1_funct_3(B),A)) ) ) )).
fof(t14_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k1_funct_4(k1_funct_4(A,B),C) = k1_funct_4(A,k1_funct_4(B,C)) ) ) ) )).
fof(t14_funct_5,axiom,( ! [A] : ( ! [B] : ! [C] : ~ r2_hidden(k4_tarski(B,C),A) => ( k9_xtuple_0(A) = k1_xboole_0 & k10_xtuple_0(A) = k1_xboole_0 ) ) )).
fof(t14_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k4_partfun1(k2_zfmisc_1(A,B),C)) => ( r2_tarski(k1_funct_5(D),k4_partfun1(A,k4_partfun1(B,C))) & r2_tarski(k3_funct_5(D),k4_partfun1(B,k4_partfun1(A,C))) ) ) ) )).
fof(t14_funct_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k9_xtuple_0(C) = k2_xboole_0(A,k1_tarski(B)) => C = k1_funct_4(k5_relat_1(C,A),k17_funcop_1(B,k1_funct_1(C,B))) ) ) )).
fof(t14_funct_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_8(B) & m1_subset_1(B,k1_zfmisc_1(k2_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_funct_8(B,k1_numbers,k1_numbers,C) => r2_funct_8(B,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A)) ) ) ) ) )).
fof(t14_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_funct_9(B,A) => v1_funct_9(B,k4_xcmplx_0(A)) ) ) ) )).
fof(t14_functor0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r1_relset_1(B,B,k7_relset_1(k2_zfmisc_1(A,A),k2_zfmisc_1(B,B),k16_funct_3(A,A,B,B,C,C),k6_partfun1(A)),k6_partfun1(B)) ) ) )).
fof(t14_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_altcat_2(B,A) ) => ( v2_altcat_2(B,A) <=> v18_functor0(k10_functor0(A,B),B,A) ) ) ) )).
fof(t14_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ! [H] : ( m1_functor2(H,B,C,E,F) => ! [I] : ( m1_functor2(I,B,C,F,G) => ( ( r1_functor2(B,C,E,F) & r1_functor2(B,C,F,G) ) => r8_pboole(u1_struct_0(A),k6_functor3(A,B,C,E,G,D,k3_functor2(B,C,E,F,G,H,I)),k3_functor2(A,C,k1_functor3(A,B,C,D,E),k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,D,G),k6_functor3(A,B,C,E,F,D,H),k6_functor3(A,B,C,F,G,D,I))) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k1_fcont_1(k5_numbers,1),A) = 1 ) )).
fof(t14_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k4_fuzzy_1(A),B) ) ) )).
fof(t14_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_funct_2(A,k1_numbers,k1_fuzzy_2(A,B,k2_fuzzy_1(A,D,C)),k1_fuzzy_1(A,k1_fuzzy_2(A,B,D),k1_fuzzy_2(A,B,C))) ) ) ) ) )).
fof(t14_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,C),k1_numbers,k3_fuzzy_4(A,B,C,k2_fuzzy_1(k2_zfmisc_1(A,B),D,E),F),k2_fuzzy_1(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,F),k3_fuzzy_4(A,B,C,E,F))) ) ) ) ) ) ) )).
fof(t14_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_fvaluat1(A,B,2) = k14_ideal_1(A,B,B) ) ) )).
fof(t14_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_algstr_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => v1_finseqop(u1_algstr_0(A),u1_struct_0(A)) ) )).
fof(t14_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(k8_gate_1(A,B,C)) <=> ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) ) )).
fof(t14_gaussint,axiom,( m1_ec_pf_1(k11_gaussint,k2_vectsp_1) )).
fof(t14_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_gcd_1(A,C,B) & r2_gcd_1(A,E,D) ) => ( C = k4_struct_0(A) | E = k4_struct_0(A) | k8_group_1(A,k1_gcd_1(A,B,C),k1_gcd_1(A,D,E)) = k1_gcd_1(A,k8_group_1(A,B,D),k8_group_1(A,C,E)) ) ) ) ) ) ) ) )).
fof(t14_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => m1_genealg1(k3_genealg1(D,E,F,A,B,C),D) ) ) ) ) ) ) )).
fof(t14_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analoaf(A,B,D,C,E) => r1_analoaf(A,B,D,k1_geomtrap(A,B,C),k1_geomtrap(A,D,E)) ) ) ) ) ) ) )).
fof(t14_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & k2_msafree2(k7_gfacirc1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t14_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) & v2_facirc_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v2_facirc_1(C) ) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k1_gfacirc2(A,B,C),k2_gfacirc2(A,B,C)))) => v1_circuit2(k5_facirc_1(k1_gfacirc2(A,B,C),k2_gfacirc2(A,B,C),D,k2_xcmplx_0(1,k3_xcmplx_0(2,A))),k1_gfacirc2(A,B,C),k2_gfacirc2(A,B,C)) ) ) ) ) )).
fof(t14_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,C,D,B) => r1_glib_000(A,D,C,B) ) ) )).
fof(t14_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,C,D,B) => k3_finseq_1(k2_glib_001(A,C,D,B)) = 3 ) ) )).
fof(t14_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(B)) => ( C = D => r1_tarski(k1_glib_002(B,D),k1_glib_002(A,C)) ) ) ) ) ) )).
fof(t14_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,B,C,D) => k8_glib_003(A,k2_glib_001(A,B,C,D)) = k9_finseq_1(k1_funct_1(k5_glib_003(A),D)) ) ) )).
fof(t14_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v2_glib_001(B,A) & v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ! [D] : ( r2_glib_004(A,B,C,D) => k1_glib_004(A,C,D) = k10_glib_003(A,B) ) ) ) )).
fof(t14_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : ! [E] : ( ( v5_glib_001(E,A) & m3_glib_001(E,A) ) => ( ( r1_glib_005(A,B,C,D) & r1_glib_001(A,C,D,E) & r5_glib_005(A,B,E) ) => ( C = D | r1_glib_005(A,k10_glib_005(A,B,E),C,D) ) ) ) ) ) )).
fof(t14_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(B,k2_finseq_1(k1_matrix_0(D))) & k1_matrix_0(D) = k1_nat_1(A,1) & r1_xxreal_0(B,C) & r1_xxreal_0(C,A) ) => ( r1_xxreal_0(A,k5_numbers) | ( k8_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(B,u1_struct_0(k15_euclid(2)),D),C) = k8_matrix_0(u1_struct_0(k15_euclid(2)),D,k1_nat_1(C,1)) & r2_tarski(C,k2_finseq_1(k1_matrix_0(k16_matrix_0(B,u1_struct_0(k15_euclid(2)),D)))) & r2_tarski(k1_nat_1(C,1),k2_finseq_1(k1_matrix_0(D))) ) ) ) ) ) ) ) )).
fof(t14_goboard2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_hidden(k4_tarski(C,D),k2_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,D) ) ) ) ) ) ) )).
fof(t14_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v1_goboard1(C) & v4_goboard1(C) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(1,B) ) => ( v3_relat_1(C) | r1_xxreal_0(k1_matrix_0(C),B) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))),k1_goboard5(C,A)) ) ) ) ) ) )).
fof(t14_goboard6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k3_finseq_1(B),A) | k1_tops_1(k15_euclid(2),k1_goboard5(B,A)) = a_2_0_goboard6(A,B) ) ) ) ) )).
fof(t14_goboard7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,2),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,2),B))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)) ) ) ) ) )).
fof(t14_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),C) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),C) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1))),k7_xcmplx_0(1,2)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,1))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t14_goboard9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(B,k1_matrix_0(C)) & k1_tops_1(k15_euclid(2),k3_goboard5(C,A,B)) = k1_xboole_0 ) ) ) ) )).
fof(t14_gobrd11,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( v1_xreal_0(B) => ( A = a_1_7_gobrd11(B) => v4_pre_topc(A,k15_euclid(2)) ) ) ) )).
fof(t14_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( ( ~ v3_relat_1(F) & v1_matrix_0(F) & v1_goboard1(F) & v2_goboard1(F) & v3_goboard1(F) & v4_goboard1(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k7_nat_d(A,1),C),k9_matrix_0(F)) & r1_xxreal_0(A,k3_finseq_1(E)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(E)) & r1_xxreal_0(B,k3_finseq_1(F)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,D) ) => ( r1_xxreal_0(A,1) | r1_xxreal_0(B,1) | r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k7_nat_d(A,1),C)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),F,k7_nat_d(B,1),D))) ) ) ) ) ) ) ) ) )).
fof(t14_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => r1_subset_1(k2_goboard9(A),k3_goboard9(A)) ) )).
fof(t14_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r7_calcul_1(A,B,C) => r1_henmodel(A,B,C) ) ) ) ) )).
fof(t14_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k4_substut2(A,B,C,D)) ) ) ) ) )).
fof(t14_gr_cy_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k1_group_1(k4_gr_cy_1(A)) = k5_numbers ) )).
fof(t14_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( A = k5_group_4(A,k6_domain_1(u1_struct_0(A),B)) => ( v8_struct_0(A) <=> ? [C] : ( v1_int_1(C) & ? [D] : ( v1_int_1(D) & C != D & k5_group_1(A,B,C) = k5_group_1(A,B,D) ) ) ) ) ) ) )).
fof(t14_gr_cy_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( k7_group_1(A) = k3_xcmplx_0(B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k6_group_1(A,D) = B & v15_algstr_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),D))) & m1_group_2(k5_group_4(A,k6_domain_1(u1_struct_0(A),D)),A) ) ) ) ) ) ) )).
fof(t14_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => m2_graph_1(k1_xboole_0,A) ) )).
fof(t14_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(k3_graph_2(A,B),C) = k1_funct_1(A,C) ) ) ) ) )).
fof(t14_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( r1_graph_2(A,C,B) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ~ ( k1_funct_1(C,D) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,D)) & k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,D)) ) & ~ ( k1_funct_1(C,D) = k1_funct_1(u1_graph_1(A),k1_funct_1(B,D)) & k1_funct_1(C,k1_nat_1(D,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(t14_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( v7_graph_1(D,A) & m2_graph_1(D,A) ) => ! [E] : ( ( v7_graph_1(E,A) & m2_graph_1(E,A) ) => ( ( r3_graph_4(A,B,D) & r3_graph_4(A,C,E) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(C,1) ) => ( v7_graph_1(k8_finseq_1(u4_struct_0(A),D,E),A) & m2_graph_1(k8_finseq_1(u4_struct_0(A),D,E),A) ) ) ) ) ) ) ) )).
fof(t14_graph_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( ( v7_graph_1(k7_finseq_1(A,B),C) & v1_graph_4(k7_finseq_1(A,B),C) & m2_graph_1(k7_finseq_1(A,B),C) ) => ( v7_graph_1(A,C) & v1_graph_4(A,C) & m2_graph_1(A,C) & v7_graph_1(B,C) & v1_graph_4(B,C) & m2_graph_1(B,C) ) ) ) ) ) )).
fof(t14_graphsp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_graph_1(B) & v6_graph_1(B) & l1_graph_1(B) ) => ! [C] : ( ( v7_graph_1(C,B) & m2_graph_1(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(B),k8_graph_5) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B),k8_graph_5))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r2_tarski(A,u4_struct_0(B)) & C = k9_finseq_1(A) & r1_graph_4(B,E,F,A) ) => r8_graph_5(B,E,F,C,k1_tarski(E),D) ) ) ) ) ) ) )).
fof(t14_grcat_1,axiom,( ! [A] : ( ( v2_grcat_1(A) & l1_grcat_1(A) ) => ? [B] : ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & ? [C] : ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & m1_grcat_1(A,B,C) ) ) ) )).
fof(t14_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_tarski(A,C) & r1_tarski(B,C) ) => ( v1_relat_1(k2_xboole_0(A,B)) & v1_funct_1(k2_xboole_0(A,B)) ) ) ) ) ) )).
fof(t14_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => m1_group_6(k1_grnilp_1(A,B,C),A,k1_grnilp_1(A,B,k7_group_2(A))) ) ) ) )).
fof(t14_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( v4_rewrite1(k3_polyred(A,B,C,D)) => v8_rewrite1(k3_polyred(A,B,C,D)) ) ) ) ) ) )).
fof(t14_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v6_algstr_0(B) & v1_vectsp_1(B) & v1_algstr_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r8_pboole(k15_pre_poly(A),k1_polyred(A,D,B,k5_polynom7(A,B,C,E)),k5_polynom7(A,B,k1_polyred(A,D,B,C),E)) ) ) ) ) ) )).
fof(t14_groeb_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k7_polynom1(A,B,k8_polynom1(A,B),C),k5_vfunct_1(k15_pre_poly(A),B,C)) ) ) )).
fof(t14_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,B,D) = C <=> B = k6_algstr_0(A,C,k2_group_1(A,D)) ) ) ) ) ) )).
fof(t14_group_10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => k1_card_1(a_2_2_group_10(A,B)) = k1_card_1(B) ) ) )).
fof(t14_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k2_group_11(A,B,C)) & r1_xboole_0(k13_group_2(A,C,D),B) ) ) ) ) ) )).
fof(t14_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_prvect_1(B) ) => ~ ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ~ ( D = k1_funct_1(A,C) & k1_funct_1(B,C) = k2_group_14(D) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_group_14(k19_rvsum_1(A))),u1_struct_0(k19_prvect_1(B))) & v13_vectsp_1(C,k2_group_14(k19_rvsum_1(A)),k19_prvect_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_14(k19_rvsum_1(A))),u1_struct_0(k19_prvect_1(B))))) ) => ? [D] : ( v1_int_1(D) & r2_hidden(D,u1_struct_0(k2_group_14(k19_rvsum_1(A)))) & k1_funct_1(C,D) != k1_int_6(D,A) ) ) ) ) ) )).
fof(t14_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C = a_2_0_group_17(A,B) & ! [D] : ( ( v8_struct_0(D) & v15_algstr_0(D) & m1_group_2(D,A) ) => ~ ( u1_struct_0(D) = C & v5_group_1(D) & v1_group_3(D,A) ) ) ) ) ) ) )).
fof(t14_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_funct_1(D) => k6_group_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)) = k6_group_1(A,C) ) ) ) ) ) )).
fof(t14_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & v1_group_19(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(C)))) ) => ( ( k4_group_19(A,C,D) = k1_xboole_0 & ! [E] : ( r2_hidden(E,A) => m1_group_2(k2_group_19(A,B,E),C) ) ) => D = k1_group_1(k2_group_7(A,B)) ) ) ) ) ) )).
fof(t14_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_group_2(A,B,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,D)),k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,C),k2_group_2(A,B,D))) ) ) ) ) )).
fof(t14_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r2_tarski(A,k1_group_3(A)) ) )).
fof(t14_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(B)) => k1_funct_1(C,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),D),1)) = k2_group_1(A,k7_partfun1(u1_struct_0(A),B,D)) ) ) ) => k3_group_4(A,B) = k2_group_1(A,k3_group_4(A,C)) ) ) ) ) )).
fof(t14_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k3_group_4(A,k1_group_5(A,C,B)) = k2_group_3(A,k3_group_4(A,C),B) ) ) ) )).
fof(t14_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( r2_tarski(k13_group_2(A,C,B),k15_group_2(A,C)) & r2_tarski(k14_group_2(A,C,B),k15_group_2(A,C)) ) ) ) ) )).
fof(t14_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_relat_1(k9_finseq_1(A)) & v4_relat_1(k9_finseq_1(A),k1_tarski(1)) & v1_funct_1(k9_finseq_1(A)) & v1_partfun1(k9_finseq_1(A),k1_tarski(1)) & v1_group_7(k9_finseq_1(A)) & v2_group_7(k9_finseq_1(A),k1_tarski(1)) & v3_group_7(k9_finseq_1(A),k1_tarski(1)) ) ) )).
fof(t14_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => B = k1_group_1(A) ) => ( ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( B = A | r1_group_2(A,B,k6_group_2(A)) ) ) <=> ( v1_gr_cy_1(A) & v8_struct_0(A) & ? [B] : ( m1_subset_1(B,k4_ordinal1) & k7_struct_0(A) = B & v1_int_2(B) ) ) ) ) ) )).
fof(t14_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v2_group_9(C,A) & m1_group_9(C,A,B) ) => ! [D] : ( ( v2_group_9(D,A) & m1_group_9(D,A,B) ) => ( u1_struct_0(C) = u1_struct_0(D) => C = D ) ) ) ) )).
fof(t14_groupp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ( v1_groupp_1(k2_group_3(A,B,C),D,A) => v1_groupp_1(B,D,A) ) ) ) ) ) )).
fof(t14_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => k2_group_2(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,E)) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k2_group_2(A,D,E)) ) ) ) ) ) )).
fof(t14_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_gtarski1(A,C,B,B) ) ) ) )).
fof(t14_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & k4_rlsub_2(A,B,C,D) = k1_domain_1(u1_struct_0(A),u1_struct_0(A),E,F) ) ) ) ) ) ) )).
fof(t14_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),k7_hahnban1(A,B),C) = k4_struct_0(A) ) ) ) )).
fof(t14_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ! [E] : ( ( r2_tarski(C,k4_finseq_1(k2_hallmar1(A,B,C,D))) & r2_tarski(C,E) ) => k1_hallmar1(A,k2_hallmar1(A,B,C,D),E) = k2_xboole_0(k1_hallmar1(A,B,k6_subset_1(E,k1_tarski(C))),k6_subset_1(k1_funct_1(B,C),k1_tarski(D))) ) ) ) ) )).
fof(t14_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,B) => r1_xxreal_0(C,k3_metric_1(A,D,E)) ) ) => r1_xxreal_0(C,k1_funct_1(k6_weierstr(A,B),D)) ) ) ) ) ) )).
fof(t14_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( r1_tarski(B,C) => r1_tarski(k14_glib_001(A,B),k14_glib_001(A,C)) ) ) ) ) )).
fof(t14_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) ) => k4_valuat_1(A,k1_henmodel(A),B,C,k3_henmodel(A)) = C ) ) ) )).
fof(t14_hermitan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( ( r1_xxreal_0(k5_numbers,k3_complex1(A)) & k4_complex1(A) = k5_numbers ) => k9_complex1(A) = k3_complex1(A) ) ) )).
fof(t14_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_collsp(A,D,E,F) & r1_collsp(A,D,E,G) & r1_collsp(A,B,C,F) & r1_collsp(A,B,C,G) ) => ( B = C | D = E | r1_collsp(A,B,C,D) | F = G ) ) ) ) ) ) ) ) ) )).
fof(t14_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ( ( B = k1_xboole_0 & C = k1_xboole_0 ) => k7_heyting1(A,B,C) = k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)) ) ) ) )).
fof(t14_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [D] : ( m1_subset_1(D,k4_partfun1(A,B)) => ! [E] : ( m2_subset_1(E,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ~ ( E = k1_tarski(D) & k4_substlat(A,B,C,E) = k1_xboole_0 & ! [F] : ( v1_finset_1(F) => ~ ( r2_tarski(F,k2_heyting2(A,B,C)) & r1_tarski(F,D) ) ) ) ) ) ) ) )).
fof(t14_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => r2_tarski(k1_domain_1(k4_ordinal1,k4_ordinal1,k1_nat_1(k2_nat_1(2,A),1),B),k3_heyting3(A,B)) ) ) )).
fof(t14_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,C) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,C),B),A) = k1_funct_1(k18_sin_cos,k2_xcmplx_0(A,k7_xcmplx_0(k3_xcmplx_0(B,k28_sin_cos),2))) ) ) ) ) )).
fof(t14_hilbasis,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( m1_subset_1(D,B) => ( r2_funct_2(k15_pre_poly(B),u1_struct_0(A),k3_hilbasis(B,C,A),k3_hilbasis(B,D,A)) => C = D ) ) ) ) ) )).
fof(t14_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => r2_tarski(k3_hilbert1(A,A),k6_hilbert1) ) )).
fof(t14_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ( k1_funct_1(A,1) = k5_numbers => A = k2_hilbert1 ) ) )).
fof(t14_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( r2_tarski(C,k9_xtuple_0(E)) & r2_tarski(D,k9_xtuple_0(E)) ) => ( A = B | k3_relat_1(k4_funct_4(A,B,C,D),E) = k4_funct_4(A,B,k1_funct_1(E,C),k1_funct_1(E,D)) ) ) ) )).
fof(t14_huffman1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => k3_tarski(k10_huffman1(k2_tarski(B,C))) = k3_tarski(k10_huffman1(k1_tarski(k8_huffman1(C,B,A)))) ) ) ) )).
fof(t14_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k4_polynom5(A,k4_polynom5(A,B,D),C),k4_polynom5(A,B,k6_algstr_0(A,C,D))) ) ) ) ) )).
fof(t14_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,k2_hurwitz2(A,B),B),k5_vfunct_1(k4_ordinal1,A,k1_hurwitz2(A,B))) ) ) )).
fof(t14_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k4_idea_1(D,k4_idea_1(D,A,B),C) = k4_idea_1(D,A,k4_idea_1(D,B,C)) ) ) ) ) )).
fof(t14_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k4_algstr_0(A,C),B) ) ) ) ) )).
fof(t14_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_collsp(A,B,C,F) & r1_collsp(A,D,E,F) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(k3_incproj(A))) => ? [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) & r1_incsp_1(k3_incproj(A),D,B) & r1_incsp_1(k3_incproj(A),D,C) ) ) ) ) ) )).
fof(t14_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u4_incsp_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A))) => ( ( r4_incsp_1(A,D,B) & r3_incsp_1(A,B,C) ) => r5_incsp_1(A,D,C) ) ) ) ) ) )).
fof(t14_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) ) => ( m3_cat_2(k10_index_1(A,B),C) <=> m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) ) ) ) ) )).
fof(t14_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ( ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_msualg_1(B) = k2_partfun1(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),u1_msualg_1(A),u4_struct_0(B)) & u2_msualg_1(B) = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_msualg_1(A),u4_struct_0(B)) ) => m1_instalg1(B,A) ) ) ) )).
fof(t14_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r2_int_1(A,B,C) => r2_int_1(B,A,C) ) ) ) ) )).
fof(t14_int_2,axiom,( ! [A] : ( v1_int_1(A) => ( ( A = 1 | A = k4_xcmplx_0(1) ) => ( r1_int_1(A,1) & r1_int_1(A,k4_xcmplx_0(1)) ) ) ) )).
fof(t14_int_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => k5_struct_0(k9_int_3(A)) = 1 ) ) )).
fof(t14_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r2_int_1(A,B,C) => k3_int_2(A,C) = k3_int_2(B,C) ) ) ) ) )).
fof(t14_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ( ( k3_int_2(A,C) = 1 & k5_int_1(k6_xcmplx_0(k1_pepin(B),A),C) = k5_numbers ) => r1_int_2(B,C) ) ) ) ) )).
fof(t14_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k3_int_2(A,B) = k3_int_2(A,k1_int_2(B)) ) ) )).
fof(t14_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ( v1_int_7(A) => ( k8_nat_3(k8_newton,A) = 1 <=> k22_pre_poly(k8_newton,A) = k1_xboole_0 ) ) ) )).
fof(t14_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_int_2(A,C) => ( r1_xxreal_0(C,1) | k3_pepin(k1_newton(A,B),C) = k3_nat_d(k3_pepin(A,C),k6_nat_d(k3_pepin(A,C),B)) ) ) ) ) ) )).
fof(t14_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,A) = k2_limfunc1(k5_numbers) & k1_relset_1(k1_numbers,B) = k2_limfunc1(k5_numbers) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,k6_integr10(C)),k5_numbers) ) ) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k6_integr10(C)),k5_numbers) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),k6_integr10(C)),k5_numbers) ) ) & r2_relset_1(k1_numbers,k1_numbers,k7_integr10(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k7_integr10(A),k7_integr10(B))) ) ) ) ) )).
fof(t14_integr11,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( A = k1_rcomp_1(k5_numbers,k28_sin_cos) => k2_integra5(A,k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)) = k7_xcmplx_0(k28_sin_cos,2) ) ) )).
fof(t14_integr12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & C = k1_relset_1(k1_numbers,B) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k16_sin_cos))) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k18_sin_cos)),k3_seq_4(A))) ) ) ) ) )).
fof(t14_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,D) & r2_relset_1(k1_numbers,k1_numbers,B,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos,k16_sin_cos),C)),k3_rfunct_1(k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)))) & r2_relset_1(k1_numbers,k1_numbers,C,k1_taylor_1(2)) & r1_tarski(D,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k27_sin_cos))) & D = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k27_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D)),k27_sin_cos),k3_seq_4(A))) ) ) ) ) ) )).
fof(t14_integr14,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k27_sin_cos))) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k27_sin_cos)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k27_sin_cos)),A),B) = k2_xcmplx_0(k1_funct_1(k18_sin_cos,B),k7_xcmplx_0(k1_funct_1(k18_sin_cos,B),k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t14_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( k2_partfun1(k1_numbers,k1_euclid(A),C,B) = D => k11_integr15(A,B,C) = k10_integr15(A,B,D) ) ) ) ) ) )).
fof(t14_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( m2_integr16(D,A,B,C) => ( ( v1_comseq_2(B) & v1_integr16(B,A) & v2_comseq_2(k2_integra3(A,C)) & k1_seq_2(k2_integra3(A,C)) = k5_numbers ) => ( v2_comseq_2(k5_integr16(A,B,C,D)) & k3_comseq_2(k5_integr16(A,B,C,D)) = k6_integr16(A,B) ) ) ) ) ) ) )).
fof(t14_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_integr18(A,B,C) & r1_integr18(A,B,D) & r1_tarski(B,k1_relset_1(k1_numbers,C)) & r1_tarski(B,k1_relset_1(k1_numbers,D)) ) => ( r1_integr18(A,B,k6_vfunct_1(k1_numbers,A,C,D)) & k5_integr18(A,B,k6_vfunct_1(k1_numbers,A,C,D)) = k3_rlvect_1(A,k5_integr18(A,B,C),k5_integr18(A,B,D)) ) ) ) ) ) ) )).
fof(t14_integr19,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_euclid(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) ) => ( v1_integr15(C,B,A) <=> v1_comseq_2(k1_nfcont_4(B,A,C)) ) ) ) ) )).
fof(t14_integr20,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ! [B] : ( v7_ordinal1(B) => ( A != k3_xcmplx_0(2,B) & A != k1_nat_1(k3_xcmplx_0(2,B),1) ) ) ) )).
fof(t14_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & v3_lopban_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,D)) ) => k6_integr18(C,D,B,A) = k4_algstr_0(C,k6_integr18(C,D,A,B)) ) ) ) ) ) )).
fof(t14_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v4_xxreal_2(k1_rvsum_1(B)) => v1_seq_2(k2_partfun1(A,k1_numbers,B,A)) ) ) ) )).
fof(t14_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( v4_xxreal_2(B) & r1_xxreal_0(A,k5_numbers) ) => k3_seq_4(k1_integra2(B,A)) = k3_xcmplx_0(A,k2_seq_4(B)) ) ) ) )).
fof(t14_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ! [D] : ( m1_integra1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( r2_hidden(A,k2_integra1(B,C,k3_finseq_1(C))) & r1_integra1(C,D) & k1_rvsum_1(D) = k4_subset_1(k1_numbers,k1_rvsum_1(C),k1_seq_4(A)) & v1_comseq_2(k2_partfun1(B,k1_numbers,E,B)) ) => ( k3_integra1(B) = k5_numbers | r1_xxreal_0(A,k3_seq_4(B)) | r1_xxreal_0(k6_xcmplx_0(k18_rvsum_1(k4_integra1(B,E,C)),k18_rvsum_1(k4_integra1(B,E,D))),k3_xcmplx_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(E)),k3_seq_4(k1_rvsum_1(E))),k1_integra3(B,C))) ) ) ) ) ) ) ) )).
fof(t14_integra4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_seq_2(k2_partfun1(A,k1_numbers,C,B)) => v1_seq_2(k2_partfun1(A,k1_numbers,k18_rfunct_3(A,C),B)) ) ) ) )).
fof(t14_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) & r1_tarski(A,k1_relset_1(k1_numbers,B)) ) => v5_xxreal_2(k1_rvsum_1(k2_partfun1(k1_numbers,k1_numbers,B,A))) ) ) ) )).
fof(t14_integra6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(B)) & r1_tarski(A,k9_xtuple_0(C)) & r1_integra5(A,B) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) & r1_integra5(A,C) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,C,A)) ) => r1_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t14_integra7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_integra7(A,D,B) & r1_integra7(A,E,C) ) => r1_integra7(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,C))) ) ) ) ) ) )).
fof(t14_integra8,axiom,( k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(3,k28_sin_cos),4)) = k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2),2)) )).
fof(t14_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,B) => k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B)),k18_sin_cos)) = k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k16_sin_cos)),k2_seq_4(A)),k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k16_sin_cos)),k3_seq_4(A))) ) ) ) )).
fof(t14_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( r2_tarski(C,B) <=> ( r1_tarski(k5_interva1(A,B),C) & r1_tarski(C,k6_interva1(A,B)) ) ) ) ) )).
fof(t14_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => k7_intpro_1(k7_intpro_1(A)) = k7_intpro_1(A) ) )).
fof(t14_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ( r1_xxreal_0(k5_numbers,k1_funct_1(k2_irrat_1(A),B)) & r1_xxreal_0(k1_funct_1(k2_irrat_1(A),B),k7_xcmplx_0(1,k7_newton(A))) & r1_xxreal_0(k1_funct_1(k2_irrat_1(A),B),k1_funct_1(k5_irrat_1,A)) & r1_xxreal_0(k5_numbers,k1_funct_1(k3_irrat_1(B),A)) & r1_xxreal_0(k1_funct_1(k3_irrat_1(B),A),k7_xcmplx_0(1,k7_newton(A))) & r1_xxreal_0(k1_funct_1(k3_irrat_1(B),A),k1_funct_1(k5_irrat_1,A)) ) ) ) ) )).
fof(t14_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,B,C) => ( ( v12_cat_1(D,A,B) & v12_cat_1(E,B,C) ) => v12_cat_1(k9_cat_1(A,B,C,D,E),A,C) ) ) ) ) ) ) )).
fof(t14_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ! [H] : ( m1_subset_1(H,u4_struct_0(B)) => ( ( r2_tarski(G,k2_cat_1(A,C,D)) & r2_tarski(H,k2_cat_1(B,E,F)) ) => r2_tarski(k8_cat_2(A,B,G,H),k2_cat_1(k6_cat_2(A,B),k7_cat_2(A,B,C,E),k7_cat_2(A,B,D,F))) ) ) ) ) ) ) ) ) ) )).
fof(t14_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_tops_1(B,A) => v6_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t14_jct_misc,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v9_rltopsp1(A,k15_euclid(2)) => v5_xxreal_2(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,A)) ) ) )).
fof(t14_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( v1_jgraph_1(A,2) & v1_graph_4(k4_jgraph_1(u1_struct_0(k15_euclid(2)),A),k1_jgraph_1(u1_struct_0(k15_euclid(2)))) ) => v1_goboard5(A) ) ) )).
fof(t14_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( A != k4_struct_0(k15_euclid(2)) => ( ( ( ( r1_xxreal_0(k17_euclid(A),k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)),k17_euclid(A)) ) | ( r1_xxreal_0(k18_euclid(A),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),k4_xcmplx_0(k18_euclid(A))) ) ) => k1_funct_1(k1_jgraph_2,A) = k19_euclid(k7_xcmplx_0(k7_xcmplx_0(k17_euclid(A),k18_euclid(A)),k18_euclid(A)),k7_xcmplx_0(1,k18_euclid(A))) ) & ~ ( ~ ( r1_xxreal_0(k17_euclid(A),k18_euclid(A)) & r1_xxreal_0(k4_xcmplx_0(k18_euclid(A)),k17_euclid(A)) ) & ~ ( r1_xxreal_0(k18_euclid(A),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),k4_xcmplx_0(k18_euclid(A))) ) & k1_funct_1(k1_jgraph_2,A) != k19_euclid(k7_xcmplx_0(1,k17_euclid(A)),k7_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k17_euclid(A)),k17_euclid(A))) ) ) ) ) )).
fof(t14_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) => k1_funct_1(B,C) = k7_xcmplx_0(k17_euclid(C),k3_square_1(k2_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k17_euclid(C),k18_euclid(C)))))) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & k18_euclid(C) = k5_numbers ) ) ) => v5_pre_topc(B,k1_pre_topc(k15_euclid(2),A),k3_topmetr) ) ) ) )).
fof(t14_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( D = k9_metric_1(k14_euclid(A),B,C) => ( v9_rltopsp1(D,k15_euclid(A)) & v4_pre_topc(D,k15_euclid(A)) ) ) ) ) ) ) )).
fof(t14_jgraph_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k5_topmetr)) => ~ ( H = k5_numbers & I = 1 & v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) & C = a_0_5_jgraph_5 & D = a_0_1_jgraph_5 & E = a_0_2_jgraph_5 & F = a_0_3_jgraph_5 & G = a_0_4_jgraph_5 & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H),E) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I),D) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H),G) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I),F) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),A),C) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B)) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_jgraph_6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k5_topmetr)) => ~ ( H = k5_numbers & I = 1 & v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) & C = a_0_1_jgraph_6 & D = a_0_2_jgraph_6 & E = a_0_3_jgraph_6 & F = a_0_4_jgraph_6 & G = a_0_5_jgraph_6 & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H),D) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I),E) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H),F) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I),G) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),A),C) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B)) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k17_euclid(C) = E & k17_euclid(D) = E & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(D),H) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k18_euclid(C),k18_euclid(B)) | r1_xxreal_0(k18_euclid(D),k18_euclid(C)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r1_jordan2c(2,B,A) => r1_xboole_0(k2_jordan2c(2,B),A) ) ) ) )).
fof(t14_jordan10,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k5_setfam_1(u1_struct_0(k15_euclid(2)),k3_jordan10(A)) = k2_jordan2c(2,A) ) )).
fof(t14_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ r2_tarski(B,k1_jordan2c(2,A)) => r1_xxreal_0(k5_jordan1k(2,B,A),k5_jordan1k(2,B,k1_jordan2c(2,A))) ) ) ) )).
fof(t14_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ~ ( ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C)),D) & r2_tarski(A,D) & r2_tarski(B,D) ) & ~ ( r2_tarski(A,k3_goboard9(C)) & r2_tarski(B,k3_goboard9(C)) ) & ~ ( r2_tarski(A,k2_goboard9(C)) & r2_tarski(B,k2_goboard9(C)) ) ) & ~ ( ( ( r2_tarski(A,k3_goboard9(C)) & r2_tarski(B,k3_goboard9(C)) ) | ( r2_tarski(A,k2_goboard9(C)) & r2_tarski(B,k2_goboard9(C)) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C)),D) & r2_tarski(A,D) & r2_tarski(B,D) ) ) ) ) ) )).
fof(t14_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_tarski(k2_jordan2c(2,A),k2_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B)))) ) ) ) )).
fof(t14_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,C),k3_topreal1(2,k2_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),E,C),k3_topreal1(2,k1_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,G) & r1_xxreal_0(G,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),G,C)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),G,C)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),G,C)) ) ) ) ) ) ) ) ) ) )).
fof(t14_jordan16,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_tarski(B,A) & r1_tarski(C,A) & r1_topreal1(k15_euclid(2),D,E,B) & r1_topreal1(k15_euclid(2),D,E,C) ) => ( B = C | ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r1_topreal1(k15_euclid(2),D,E,F) & r1_tarski(F,A) & F != B & F != C ) ) ) ) ) ) ) ) ) )).
fof(t14_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( B != C & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != B & F != C & r1_jordan17(A,B,F,C,E) ) ) ) ) ) ) ) ) )).
fof(t14_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_jordan2c(2,A)) & r1_tarski(k7_topreal1(B),k2_jordan2c(2,A)) ) ) ) )).
fof(t14_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & ~ r1_xxreal_0(A,k5_numbers) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k9_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k8_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k8_jordan6(B)) ) ) ) ) ) ) )).
fof(t14_jordan1a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xboole_0(A,B) & r1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,A),k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,B)) ) ) ) )).
fof(t14_jordan1b,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ~ ( r1_xxreal_0(2,k3_finseq_1(A)) & r1_xxreal_0(k1_jordan1a(A),1) ) ) )).
fof(t14_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_int_1(D) => ~ ( D = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k17_euclid(C),k6_pscomp_1(A)),k6_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A))),k1_newton(2,B)),2)) & r1_xxreal_0(k2_xcmplx_0(k6_pscomp_1(A),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k8_pscomp_1(A),k6_pscomp_1(A)),k1_newton(2,B)),k6_xcmplx_0(D,1))),k17_euclid(C)) ) ) ) ) ) )).
fof(t14_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k25_pscomp_1(B),k4_goboard5(k1_jordan9(B,A),C)) ) ) ) )).
fof(t14_jordan1e,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k18_pscomp_1(A) != k23_pscomp_1(A) ) )).
fof(t14_jordan1g,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_topreal1(A) & v2_topreal1(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( ( ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k23_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k23_pscomp_1(k3_topreal1(2,A)) ) | ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k22_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k22_pscomp_1(k3_topreal1(2,A)) ) ) & r1_xxreal_0(k18_euclid(k22_pscomp_1(k3_topreal1(2,A))),k18_euclid(k23_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(t14_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k3_finseq_1(A),k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,k2_jordan1h(u1_struct_0(k15_euclid(2)),A)))) ) )).
fof(t14_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(C,k1_nat_1(D,1)),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,k1_nat_1(D,1)) & r1_xxreal_0(k3_finseq_1(B),C) ) ) ) ) ) ) ) )).
fof(t14_jordan1j,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k18_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k10_xtuple_0(k2_jordan1e(B,A))) & r2_tarski(k18_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))),k3_topreal1(2,k2_jordan1e(B,A))) ) ) ) )).
fof(t14_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ~ ( r3_connsp_1(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),C),B) & ~ r1_jordan2c(A,C,B) & ~ r2_jordan2c(A,C,B) ) ) ) ) )).
fof(t14_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [E] : ( v1_xreal_0(E) => ( ( r1_xxreal_0(k5_numbers,E) & B = a_3_1_jordan20(A,D,E) & C = k4_rcomp_1(E,1) ) => k7_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A)),D,C) = B ) ) ) ) ) ) )).
fof(t14_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r2_tarski(k10_jordan6(A),A) ) )).
fof(t14_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan9(A,B)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),k3_finseq_1(k1_jordan8(A,B))))))) = k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan9(A,B)),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2))))) ) ) ) )).
fof(t14_jordan23,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v1_jordan23(B) <=> ( v2_funct_1(k2_rfinseq(A,1,B)) & v2_funct_1(k17_finseq_1(A,k7_nat_d(k3_finseq_1(B),1),B)) ) ) ) ) )).
fof(t14_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)))))) ) => ( E = k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D) => v3_tops_2(E,k1_pre_topc(A,D),k1_pre_topc(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D))) ) ) ) ) ) ) ) )).
fof(t14_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( B = a_4_0_jordan2b(A,C,D,E) & r2_tarski(E,k2_finseq_1(A)) ) => v3_pre_topc(B,k15_euclid(A)) ) ) ) ) ) ) )).
fof(t14_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r2_jordan2c(A,B,C) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B))))) & D = C & v3_connsp_1(D,k1_pre_topc(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B))) & ~ ( v6_tbsp_1(D,k14_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) ) ) ) ) ) )).
fof(t14_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( v2_topreal1(A) & v3_topreal1(A) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r2_tarski(B,k2_topreal1(2,A,C)) ) => ( B = k1_funct_1(A,C) | C = k1_jordan3(A,B) ) ) ) ) ) )).
fof(t14_jordan4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(C)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_nat_1(k7_nat_d(E,D),1)) ) => ( k1_funct_1(k3_finseq_6(B,C,D,E),A) = k1_funct_1(k3_finseq_6(B,C,E,D),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(E,D),1),A),1)) & k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(E,D),1),A),1) = k1_nat_1(k7_nat_d(k1_nat_1(k7_nat_d(E,D),1),A),1) ) ) ) ) ) ) ) )).
fof(t14_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v5_pre_topc(E,k4_topmetr(A,B),k4_topmetr(C,D)) & v2_funct_1(E) & E = F & k1_funct_1(E,A) = C & k1_funct_1(E,B) = D ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(D,C) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,F,k1_rcomp_1(A,B))) ) ) ) ) ) ) ) ) )).
fof(t14_jordan5b,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( r1_topreal1(k15_euclid(A),C,D,B) => r1_topreal1(k15_euclid(A),D,C,B) ) ) ) ) ) )).
fof(t14_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & r2_tarski(E,A) & D != E & ~ ( r1_jordan5c(A,B,C,D,E) & ~ r1_jordan5c(A,B,C,E,D) ) & ~ ( r1_jordan5c(A,B,C,E,D) & ~ r1_jordan5c(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(t14_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_1_jordan5d(A) => B = k7_relat_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k16_pscomp_1(k3_topreal1(2,A))),u1_struct_0(k1_pre_topc(k15_euclid(2),k16_pscomp_1(k3_topreal1(2,A))))) ) ) ) )).
fof(t14_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),C,D,A) & B = a_2_1_jordan6(C,D) ) => ( ~ r1_xboole_0(A,B) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),A,B),k15_euclid(2)) ) ) ) ) ) ) )).
fof(t14_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( v1_topreal2(A) & r1_jordan6(A,B,C) & r1_jordan6(A,C,D) ) => ( B = k18_pscomp_1(A) | C = D | r1_xboole_0(k1_jordan7(A,B,C),k1_jordan7(A,D,k18_pscomp_1(A))) ) ) ) ) ) ) )).
fof(t14_jordan8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(k1_jordan8(C,B))) ) => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(C,B),A,k7_nat_d(k3_finseq_1(k1_jordan8(C,B)),1))) = k7_pscomp_1(C) ) ) ) ) )).
fof(t14_jordan9,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) & v1_topreal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(C,k3_finseq_1(A)) & r1_xxreal_0(D,k1_matrix_0(A)) ) => r1_xboole_0(k1_tops_1(k15_euclid(2),k3_goboard5(A,C,D)),k3_topreal1(2,B)) ) ) ) ) ) ) )).
fof(t14_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k4_jordan6(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B) = k5_jordan6(k8_jordan6(A),k18_pscomp_1(A),k22_pscomp_1(A),B,k22_pscomp_1(A)) ) ) )).
fof(t14_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_knaster(A,B,C,k5_numbers) = C ) ) ) )).
fof(t14_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m2_prob_1(D,A,C) => ! [E] : ( m1_kolmog01(E,B,A,C) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(B)) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(B)) ) => ( ( r2_kolmog01(A,C,D,B,E) & r1_subset_1(F,G) ) => ! [H] : ( m1_prob_1(H,A,C) => ! [I] : ( m1_prob_1(I,A,C) => ( ( r2_tarski(H,k4_kolmog01(B,A,C,E,F)) & r2_tarski(I,k4_kolmog01(B,A,C,E,G)) ) => k3_funct_2(C,k1_numbers,D,k5_prob_1(A,C,H,I)) = k3_xcmplx_0(k3_funct_2(C,k1_numbers,D,H),k3_funct_2(C,k1_numbers,D,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ! [D] : ( v7_ordinal1(D) => k1_funct_1(B,D) = C ) => k4_kurato_0(A,B) = C ) ) ) )).
fof(t14_kurato_1,axiom,( k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k6_kurato_1))))) = k3_rcomp_1(2,k1_xxreal_0) )).
fof(t14_kurato_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(A)))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( C = D => ( r2_tarski(C,k1_kurato_2(k15_euclid(A),B)) <=> ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v7_ordinal1(F) => ? [G] : ( v7_ordinal1(G) & ~ r1_xxreal_0(G,F) & r1_xboole_0(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))),B,G),k8_metric_1(k14_euclid(A),D,E)) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) ) ) ) ) ) )).
fof(t14_lang1,axiom,( ! [A] : ! [B] : ( A != B => k1_lang1(k8_lang1(A,B)) = k1_tarski(B) ) )).
fof(t14_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(A)) & r2_tarski(E,k2_finseq_1(A)) ) => k4_matrix_0(u1_struct_0(B),k2_laplace(D,E,A,B,C)) = k2_laplace(E,D,A,B,k4_matrix_0(u1_struct_0(B),C)) ) ) ) ) ) ) )).
fof(t14_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => r2_tarski(k1_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) ) )).
fof(t14_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B))) => ( ( r2_tarski(C,u1_struct_0(A)) & r2_tarski(D,u1_struct_0(B)) & r1_latsum_1(A,B) ) => ( r1_orders_2(k1_latsum_1(A,B),C,D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(k1_latsum_1(A,B))) & r2_tarski(E,k3_xboole_0(u1_struct_0(A),u1_struct_0(B))) & r1_orders_2(k1_latsum_1(A,B),C,E) & r1_orders_2(k1_latsum_1(A,B),E,D) ) ) ) ) ) ) ) )).
fof(t14_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,k2_lattices(A,B,C),B) = B => k2_lattices(A,B,C) = k2_lattices(A,C,B) ) ) ) ) )).
fof(t14_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_lattices(A,B,C) = C ) => B = k5_lattices(A) ) ) ) )).
fof(t14_lattice3,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v4_orders_2(A) => k10_lattice3(A,k10_lattice3(A,B,C),D) = k10_lattice3(A,B,k10_lattice3(A,C,D)) ) ) ) ) ) )).
fof(t14_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))) = k3_lattices(A,k1_lattice4(A,B),C) ) ) ) )).
fof(t14_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => v19_waybel_0(k4_lattice5(A,B,C),B,k1_lattice5(A)) ) ) ) )).
fof(t14_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_lattice6(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_lattice6(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_lattice6(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattice6(A,D,B) => D = C ) ) ) ) ) ) )).
fof(t14_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => r5_waybel_1(A,k1_yellow_1(k4_lattice7(k5_yellow_0(A,k3_lattice7(A))))) ) )).
fof(t14_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_lattice8(A,k5_numbers) = A ) )).
fof(t14_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v2_filter_2(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(k4_lattices(A,C,D),B) & ~ r2_tarski(C,B) & ~ r2_tarski(D,B) ) ) ) ) ) ) )).
fof(t14_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_lattices(A,k5_lattices(A),B) = B ) ) )).
fof(t14_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => k2_relset_1(k4_ordinal1,k5_lexbfs(A,B,C)) = k2_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(k39_glib_000(B)),k2_finseq_1(k7_nat_d(k39_glib_000(B),C))) ) ) ) )).
fof(t14_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => u1_struct_0(k4_lfuzzy_0(A)) = k9_funct_2(A,k1_rcomp_1(k5_numbers,1)) ) )).
fof(t14_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v3_relat_2(B) => v2_lfuzzy_1(k3_lfuzzy_1(B,k2_zfmisc_1(A,A)),A) ) ) ) )).
fof(t14_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( v2_limfunc1(A) => ( r1_xxreal_0(B,k5_numbers) | v2_limfunc1(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) ) ) & ( v2_limfunc1(A) => ( r1_xxreal_0(k5_numbers,B) | v1_limfunc1(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) ) ) & ( B = k5_numbers => ( k10_xtuple_0(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) = k1_tarski(k5_numbers) & v3_funct_1(k26_valued_1(k4_ordinal1,k1_numbers,A,B)) ) ) ) ) ) )).
fof(t14_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r3_limfunc2(B,A) & r3_limfunc2(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C))) ) ) ) ) ) => ( r3_limfunc2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_limfunc2(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) ) )).
fof(t14_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc3(B,A) & r2_limfunc3(C,A) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(A,D) & ~ r1_xxreal_0(E,A) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(F,D) & ~ r1_xxreal_0(A,F) & r2_hidden(F,k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C))) & ~ r1_xxreal_0(E,G) & ~ r1_xxreal_0(G,A) & r2_hidden(G,k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C))) ) ) ) ) ) ) ) => ( r2_limfunc3(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_limfunc3(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) ) )).
fof(t14_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r3_limfunc2(B,A) & v8_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,D) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,D) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r3_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t14_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( r1_tarski(C,D) => m1_vectsp_4(k1_vectsp_7(A,B,C),A,k1_vectsp_7(A,B,D)) ) ) ) ) ) )).
fof(t14_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( r1_lmod_6(A,B,C) => ( ( r1_struct_0(B,D) => r1_struct_0(C,D) ) & ( m1_subset_1(D,u1_struct_0(B)) => m1_subset_1(D,u1_struct_0(C)) ) ) ) ) ) ) )).
fof(t14_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => m1_subset_1(k8_lmod_7(A,B,D,C),u1_struct_0(k13_lmod_7(A,B,D))) ) ) ) ) )).
fof(t14_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => v1_rlsub_1(k7_lopban_1(A,B),k5_lopban_1(u1_struct_0(A),B)) ) ) )).
fof(t14_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k7_lopban_2(A)) & v13_algstr_0(k7_lopban_2(A)) & v2_rlvect_1(k7_lopban_2(A)) & v3_rlvect_1(k7_lopban_2(A)) & v4_rlvect_1(k7_lopban_2(A)) & v4_vectsp_1(k7_lopban_2(A)) & v5_vectsp_1(k7_lopban_2(A)) & v3_group_1(k7_lopban_2(A)) & l6_algstr_0(k7_lopban_2(A)) ) ) )).
fof(t14_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),k1_nat_1(C,1)) = k6_algstr_0(A,k1_rlvect_1(A,B,k7_xcmplx_0(1,k1_nat_1(C,1))),k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),C)) & k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),k5_numbers) = k5_struct_0(A) & r1_xxreal_0(k2_normsp_0(A,k8_nat_1(u1_struct_0(A),k1_lopban_4(A,B),C)),k8_nat_1(k1_numbers,k4_sin_cos(k2_normsp_0(A,B)),C)) ) ) ) ) )).
fof(t14_lopban_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(C,D) => r1_tarski(k1_lopban_5(A,B,C),k1_lopban_5(A,B,D)) ) ) ) ) ) )).
fof(t14_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( v1_lopban_7(C,A,B) & v2_funct_1(C) & D = k2_funct_1(C) ) => v1_lopban_7(D,B,A) ) ) ) ) ) )).
fof(t14_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_subset_1(k1_struct_0(A),u1_struct_0(k6_lopclset(A))) ) )).
fof(t14_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ( v4_normsp_0(B) & v3_normsp_0(B) & v2_normsp_1(B) ) ) ) ) ) )).
fof(t14_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k2_numbers,k3_rfunct_3(A,k2_numbers)) => r2_relset_1(A,k2_numbers,k2_lpspace1(A,k2_numbers,k7_lpspacc1(A),B,k2_lpspace1(A,k2_numbers,k9_lpspacc1(A),C,D)),k2_lpspace1(A,k2_numbers,k9_lpspacc1(A),k2_lpspace1(A,k2_numbers,k7_lpspacc1(A),B,C),k2_lpspace1(A,k2_numbers,k7_lpspacc1(A),B,D))) ) ) ) ) )).
fof(t14_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,k3_lpspace1(A),k6_lpspace1(A),B),B) ) ) )).
fof(t14_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v6_supinf_2(B) => r2_relset_1(A,k1_numbers,k56_valued_1(A,k1_numbers,B),B) ) ) ) )).
fof(t14_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k1_ltlaxio1(k2_ltlaxio1(A)))) = k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k2_ltlaxio1(k1_ltlaxio1(A)))) ) ) ) )).
fof(t14_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => k4_ltlaxio2(k12_finseq_1(k1_hilbert1,A)) = k12_finseq_1(k1_hilbert1,k1_ltlaxio1(A)) ) )).
fof(t14_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,k5_ltlaxio1(A,B))) ) ) )).
fof(t14_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)))) ) => ( r2_tarski(A,B) => r1_relset_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1),k5_ltlaxio4(A),k6_ltlaxio4(B)) ) ) ) )).
fof(t14_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(B,k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,C),C),k4_cqc_the1(A)) ) ) ) ) )).
fof(t14_margrel1,axiom,( ! [A] : ( v1_xboolean(A) => k4_xboolean(k7_margrel1,A) = A ) )).
fof(t14_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_mathmorp(A,k1_mathmorp(A,D,B),C) = k1_mathmorp(A,D,k3_mathmorp(A,B,C)) ) ) ) ) )).
fof(t14_matrix10,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,B,B) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v1_matrix10(C) => ( r1_xxreal_0(A,k5_numbers) | v1_matrix10(k6_matrix10(B,A,C)) ) ) ) ) ) )).
fof(t14_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ( v5_matrix_1(C,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) => k2_matrix11(A,B,C) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) )).
fof(t14_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( r2_tarski(A,k4_finseq_1(k3_matrix_1(C,B))) => ( D = k4_struct_0(C) | ( v1_matrix_6(k2_matrix12(B,B,C,k3_matrix_1(C,B),A,D),B,C) & k1_matrix_6(B,C,k2_matrix12(B,B,C,k3_matrix_1(C,B),A,D)) = k2_matrix12(B,B,C,k3_matrix_1(C,B),A,k9_algstr_0(C,D)) ) ) ) ) ) ) ) )).
fof(t14_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( k3_matrix_1(A,k5_numbers) = k2_matrix_1(A,k5_numbers) & k3_matrix_1(A,k5_numbers) = k1_xboole_0 ) ) )).
fof(t14_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => ( ( D = E & F = k4_algstr_0(A,k1_group_1(A)) & D != k4_struct_0(B) ) | k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),k6_domain_1(u1_struct_0(B),k3_rlvect_1(B,D,k3_vectsp_1(A,B,F,E))))) = k1_vectsp_7(A,B,C) ) ) ) ) ) ) ) ) )).
fof(t14_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),A,A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix16(F,u1_struct_0(B)) & v1_matrix16(G,u1_struct_0(B)) & v1_matrix16(H,u1_struct_0(B)) ) => v1_matrix16(k1_matrix_4(B,k3_matrix_3(B,k2_matrix13(A,A,B,F,C),k2_matrix13(A,A,B,G,D)),k2_matrix13(A,A,B,H,E)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).
fof(t14_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( v5_matrix17(D,u1_struct_0(A)) => k3_matrix_3(A,k2_matrix13(k3_finseq_1(D),k3_finseq_1(D),A,k1_matrix17(u1_struct_0(A),D),B),k2_matrix13(k3_finseq_1(D),k3_finseq_1(D),A,k1_matrix17(u1_struct_0(A),D),C)) = k1_matrix17(u1_struct_0(A),k9_fvsum_1(A,D,k3_rlvect_1(A,B,C))) ) ) ) ) ) )).
fof(t14_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_matrix_0(k9_finseq_1(k1_xboole_0)) & v2_matrix_0(k9_finseq_1(k1_xboole_0),A,1,k5_numbers) & m2_finseq_1(k9_finseq_1(k1_xboole_0),k3_finseq_2(A)) ) ) )).
fof(t14_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => m1_subset_1(k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B),u1_struct_0(k10_matrix_1(A))) ) ) )).
fof(t14_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ( ( k1_funct_1(B,D) = k5_struct_0(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ( E = D | k1_funct_1(B,E) = k4_struct_0(A) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(k11_fvsum_1(A,B,C))) => ( ( D = E => k1_funct_1(k11_fvsum_1(A,B,C),E) = k1_funct_1(C,D) ) & ( D != E => k1_funct_1(k11_fvsum_1(A,B,C),E) = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(t14_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) & k1_matrix_4(A,B,D) = k1_matrix_4(A,C,D) ) => B = C ) ) ) ) ) )).
fof(t14_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k3_matrix_5(k3_matrix_5(A,A),A) = k7_matrix_5(3,A) ) )).
fof(t14_matrix_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),B,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),B,B) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ( ( r2_matrix_6(B,A,E,C) & r2_matrix_6(B,A,F,D) ) => r2_matrix_6(B,A,k4_matrix_3(A,E,F),k4_matrix_3(A,D,C)) ) ) ) ) ) ) ) )).
fof(t14_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(B)) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(B)) => r2_tarski(k1_funct_1(C,D),k2_finseq_1(B)) ) ) ) ) ) )).
fof(t14_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_8(C,A,B) & v4_matrix_6(C,A,B) ) => v2_matrix_6(C,A,B) ) ) ) ) )).
fof(t14_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_matrix_9(2,A,k15_matrix_0(u1_struct_0(A),B,C,D,E)) = k1_algstr_0(A,k8_group_1(A,B,E),k8_group_1(A,C,D)) ) ) ) ) ) )).
fof(t14_matrixc1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k2_numbers)) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(k2_numbers)) ) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(C) = k1_matrix_0(D) & r2_hidden(k4_tarski(A,B),k2_matrix_0(C)) ) => k3_matrix_0(k2_numbers,k5_matrix_5(C,D),A,B) = k6_xcmplx_0(k3_matrix_0(k2_numbers,C,A,B),k3_matrix_0(k2_numbers,D,A,B)) ) ) ) ) ) )).
fof(t14_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrixj1(B,A) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => ! [C] : ( ( v1_matrixj1(C,A) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k10_matrixj1(A,k3_matrixj1(A,B,C)) = k8_finseq_1(k4_ordinal1,k10_matrixj1(A,B),k10_matrixj1(A,C)) ) ) ) )).
fof(t14_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(C)) & v13_vectsp_1(D,C,C) & v1_mod_2(D,B,C,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( v1_funct_1(k8_matrlin2(B,C,C,k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),D)) & v1_funct_2(k8_matrlin2(B,C,C,k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),D),u1_struct_0(k1_ranknull(B,C,C,k1_vectsp11(C,D,A))),u1_struct_0(k1_ranknull(B,C,C,k1_vectsp11(C,D,A)))) & v13_vectsp_1(k8_matrlin2(B,C,C,k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),D),k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),k1_ranknull(B,C,C,k1_vectsp11(C,D,A))) & v1_mod_2(k8_matrlin2(B,C,C,k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),D),B,k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),k1_ranknull(B,C,C,k1_vectsp11(C,D,A))) & v2_matrixj2(k8_matrlin2(B,C,C,k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),D),B,k1_ranknull(B,C,C,k1_vectsp11(C,D,A))) & m1_subset_1(k8_matrlin2(B,C,C,k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_ranknull(B,C,C,k1_vectsp11(C,D,A))),u1_struct_0(k1_ranknull(B,C,C,k1_vectsp11(C,D,A)))))) ) ) ) ) ) )).
fof(t14_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => A = k8_rvsum_1(k4_rvsum_1(A,B),B) ) ) ) )).
fof(t14_matrixr2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) & k4_matrix_3(B,k1_matrix_3(B,A,k3_finseq_1(C)),C) != k1_matrix_3(B,A,k1_matrix_0(C)) ) ) ) ) )).
fof(t14_matrlin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),k1_nat_1(A,1),k5_numbers) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => k4_rlvect_1(C,k6_matrlin(C,D)) = k4_struct_0(C) ) ) ) ) )).
fof(t14_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m2_finseq_1(F,u1_struct_0(E)) => ( D = F => k5_matrlin(A,B,C,D) = k5_matrlin(A,E,C,F) ) ) ) ) ) ) ) )).
fof(t14_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(C,B) & v3_pre_topc(C,A) & ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(C,D) & r1_matroid0(A,D,B) ) ) ) ) ) ) )).
fof(t14_matrprob,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(C)) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(D)) => k3_matrix_0(C,D,A,B) = k1_funct_1(k1_matrprob(C,D,A),B) ) ) ) ) ) )).
fof(t14_matrtop1,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,B,C) & m2_finseq_1(E,k3_finseq_2(D)) ) => ( v1_matrix_0(k1_finseq_3(E,A)) & v2_matrix_0(k1_finseq_3(E,A),D,k7_nat_d(B,k4_card_1(k8_relat_1(E,A))),C) & m2_finseq_1(k1_finseq_3(E,A),k3_finseq_2(D)) ) ) ) ) ) )).
fof(t14_matrtop2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( m2_vectsp_6(F,A,B,E) => ( v2_funct_1(k2_partfun1(u1_struct_0(B),u1_struct_0(C),D,E)) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k4_vectsp_6(A,B,F)) = k4_vectsp_6(A,C,k8_ranknull(A,B,C,F,D)) ) ) ) ) ) ) ) )).
fof(t14_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_mazurulm(C,A,B) ) => v3_mazurulm(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) )).
fof(t14_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r2_pboole(A,C,B) | r2_pboole(A,D,B) ) => r2_pboole(A,k3_pboole(A,C,D),B) ) ) ) ) )).
fof(t14_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(C,k2_zfmisc_1(k1_tarski(A),k1_tarski(B))) => ( k1_xtuple_0(C) = A & k2_xtuple_0(C) = B ) ) )).
fof(t14_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m1_measure1(E,A,B,C) => ( k12_supinf_2(C,k1_measure1(A,B,D,E)) = k12_supinf_2(C,D) & k12_supinf_2(C,k2_measure1(A,B,D,E)) = k1_supinf_2 & k12_supinf_2(C,k3_measure1(A,B,D,E)) = k12_supinf_2(C,D) ) ) ) ) ) )).
fof(t14_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_measure2(D,A,B) => ( ! [E] : ( r2_tarski(E,D) => m2_measure1(E,A,B,C) ) => m2_measure1(k2_measure2(A,B,D),A,B,C) ) ) ) ) )).
fof(t14_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & v1_prob_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => r1_xxreal_0(k12_supinf_2(C,k2_measure2(A,B,k1_measure3(A,B,D))),k17_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C))) ) => ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) ) ) ) )).
fof(t14_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ( v1_funct_1(k3_measure4(A,B)) & v1_funct_2(k3_measure4(A,B),k1_measure4(A,B),k6_numbers) & v10_valued_0(k3_measure4(A,B)) & v6_supinf_2(k3_measure4(A,B)) & v4_measure1(k3_measure4(A,B),A,k1_measure4(A,B)) & m1_subset_1(k3_measure4(A,B),k1_zfmisc_1(k2_zfmisc_1(k1_measure4(A,B),k6_numbers))) ) ) )).
fof(t14_measure5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ( ~ v1_xboole_0(A) & v2_measure5(A) ) <=> ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & r1_xxreal_0(B,C) & A = k1_rcomp_1(B,C) ) ) ) ) )).
fof(t14_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xxreal_0(B) => ( ? [C] : ( v1_xxreal_0(C) & r1_xxreal_0(C,B) & A = k1_xxreal_1(C,B) ) => B = k8_supinf_2(A) ) ) ) )).
fof(t14_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) ) => ( ( v2_funct_1(A) & k11_funcop_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,A) = k2_zfmisc_1(k4_ordinal1,k4_ordinal1) ) => ! [B] : ( v7_ordinal1(B) => ? [C] : ( m1_subset_1(C,k4_ordinal1) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [E] : ( m2_measure7(E,D) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(k3_measure7(k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),D)),k11_measure7(D,E,A))),B),k12_supinf_2(k16_supinf_2(k7_measure7(D,E)),C)) ) ) ) ) ) ) )).
fof(t14_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => m1_measure4(k6_measure8(A,B,C),A) ) ) )).
fof(t14_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ( k5_member_1(A) = k5_member_1(B) => A = B ) ) ) )).
fof(t14_membered,axiom,( ! [A] : ( v2_membered(A) => ( ! [B] : ( v1_xxreal_0(B) => r2_hidden(B,A) ) => A = k6_numbers ) ) )).
fof(t14_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => k9_subset_1(u1_struct_0(B),k9_xtuple_0(C),k8_struct_0(B)) = k9_xtuple_0(k6_memstr_0(A,B,C)) ) ) ) )).
fof(t14_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) & D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,E)),k1_rlvect_1(k15_euclid(2),C,E)) & A = D ) ) ) ) ) ) )).
fof(t14_mesfun10,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k12_supinf_2(A,C) = k2_supinf_2(k12_supinf_2(B,C)) ) => ( k6_rinfsup2(B) = k2_supinf_2(k5_rinfsup2(A)) & k5_rinfsup2(B) = k2_supinf_2(k6_rinfsup2(A)) ) ) ) ) )).
fof(t14_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( r1_mesfun6c(A,B,C,E) & D = k9_subset_1(A,k1_relset_1(A,C),E) ) => r1_mesfun6c(A,B,k2_partfun1(A,k2_numbers,C,E),D) ) ) ) ) ) ) )).
fof(t14_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k8_mesfun7c(A,B))) => k12_supinf_2(k8_mesfun7c(A,B),C) = k2_mesfunc5(k1_mesfunc5(k4_ordinal1,k10_seqfunc(A,B,C))) ) ) ) ) )).
fof(t14_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m1_subset_1(D,A) => ( ( v1_mesfunc8(B,A,k1_numbers) & r1_tarski(k1_relset_1(A,C),k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers))) & r2_tarski(D,k1_relset_1(A,C)) & k12_supinf_2(C,D) = k4_series_1(k10_seqfunc(A,B,D)) ) => k12_supinf_2(C,D) = k1_seq_2(k10_seqfunc(A,k2_mesfun9c(A,B),D)) ) ) ) ) ) )).
fof(t14_mesfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ! [D] : ( v1_xxreal_0(D) => ( r1_tarski(C,k9_xtuple_0(B)) => k9_subset_1(A,C,k17_mesfunc1(A,B,D)) = k6_subset_1(C,k9_subset_1(A,C,k14_mesfunc1(A,B,D))) ) ) ) )).
fof(t14_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => r2_relset_1(A,k6_numbers,k2_mesfunc2(A,B),k1_mesfunc2(A,k7_mesfunc1(A,B))) ) ) )).
fof(t14_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc2(A,B,C) & v6_supinf_2(C) & ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ~ ( r1_mesfunc3(A,B,C,D,E) & k12_supinf_2(E,1) = k1_supinf_2 & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(2,F) & r2_tarski(F,k4_finseq_1(E)) ) => ( ~ r1_xxreal_0(k12_supinf_2(E,F),k1_supinf_2) & ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfunc2(A,B,C) => ( v4_mesfunc5(C) & v3_mesfunc5(C) ) ) ) ) ) )).
fof(t14_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_mesfunc6(A,B,C,D) <=> ! [E] : ( v1_xreal_0(E) => r2_tarski(k8_subset_1(A,D,k11_mesfunc1(C,E)),B) ) ) ) ) ) ) )).
fof(t14_mesfunc7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(B),C) => ( ( r1_tarski(E,k1_relset_1(B,D)) & r1_mesfunc1(B,C,D,E) ) => r1_mesfunc1(B,C,k5_mesfunc7(A,B,k9_mesfunc1(B,D)),E) ) ) ) ) ) ) )).
fof(t14_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( r2_tarski(C,k1_relset_1(A,k7_mesfunc8(A,B))) & v10_mesfunc5(k3_mesfunc5(A,B,C)) ) => ( k12_supinf_2(k7_mesfunc8(A,B),C) = k12_supinf_2(k6_mesfunc8(A,B),C) & k12_supinf_2(k7_mesfunc8(A,B),C) = k12_supinf_2(k5_mesfunc8(A,B),C) ) ) ) ) ) )).
fof(t14_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( k7_mesfunc5(A,B,C,k3_mesfunc2(D,A)) = k12_supinf_2(C,D) & k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k3_mesfunc2(D,A),D)) = k12_supinf_2(C,D) ) ) ) ) ) )).
fof(t14_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( l1_metric_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_tarski(k8_metric_1(B,C,A),k9_metric_1(B,C,A)) ) ) ) )).
fof(t14_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( m1_metric_2(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B = k6_domain_1(u1_struct_0(A),C) ) ) ) ) )).
fof(t14_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ! [E] : ( m1_subset_1(E,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ( k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,k13_metric_3(A,B,C),D,E) = k5_numbers <=> D = E ) ) ) ) ) ) )).
fof(t14_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_metric_6(A,C,B) <=> ( v2_comseq_2(k2_metric_6(A,C,B)) & k1_seq_2(k2_metric_6(A,C,B)) = k5_numbers ) ) ) ) ) )).
fof(t14_metrizts,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( ( v4_pre_topc(C,B) & v2_tex_2(C,B) ) => r1_ordinal1(k1_card_1(C),A) ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v2_tex_2(C,B) => r1_ordinal1(k1_card_1(C),A) ) ) ) ) ) )).
fof(t14_mfold_2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(C) = k3_finseq_1(D) ) => k14_rvsum_1(k8_finseq_1(k1_numbers,A,C),k8_finseq_1(k1_numbers,B,D)) = k8_finseq_1(k1_numbers,k14_rvsum_1(A,B),k14_rvsum_1(C,D)) ) ) ) ) ) )).
fof(t14_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_midsp_1(A,B,C,B,C) ) ) ) )).
fof(t14_midsp_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( r1_midsp_2(A,B,C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ( ( k2_binop_1(A,A,u1_struct_0(B),C,D,E) = k2_binop_1(A,A,u1_struct_0(B),C,E,G) & k2_binop_1(A,A,u1_struct_0(B),C,D,F) = k2_binop_1(A,A,u1_struct_0(B),C,F,H) ) => k2_binop_1(A,A,u1_struct_0(B),C,G,H) = k1_midsp_2(B,k2_binop_1(A,A,u1_struct_0(B),C,E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( ( v4_midsp_2(C,B) & l1_midsp_2(C,B) ) => ! [D] : ( m2_finseq_2(D,u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) => ! [E] : ( m2_finseq_2(E,u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) => ( ! [F] : ( m1_midsp_3(F,A) => k5_midsp_3(A,u1_struct_0(u1_midsp_2(B,C)),D,F) = k5_midsp_3(A,u1_struct_0(u1_midsp_2(B,C)),E,F) ) => D = E ) ) ) ) ) ) )).
fof(t14_mmlquer2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( r1_mmlquery(C,D,k3_mmlquer2(A,k4_mmlquer2(A,B))) <=> ~ r1_xxreal_0(k4_card_1(k1_mmlquery(A,B,D)),k4_card_1(k1_mmlquery(A,B,C))) ) ) ) ) ) )).
fof(t14_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(F,G) & r1_tarski(B,C) & r1_relset_1(A,A,D,E) ) => r1_tarski(k14_mmlquery(A,B,D,G),k14_mmlquery(A,C,E,F)) ) ) ) ) ) ) ) )).
fof(t14_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v2_mod_2(B,A) & v3_mod_2(B,A) & l1_mod_2(B,A) ) => ! [C] : ( ( v2_mod_2(C,A) & v3_mod_2(C,A) & l1_mod_2(C,A) ) => ~ ( k2_mod_2(A,C) = k3_mod_2(A,B) & ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,A) & v9_vectsp_1(E,A) & v10_vectsp_1(E,A) & v11_vectsp_1(E,A) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,A) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v8_vectsp_1(F,A) & v9_vectsp_1(F,A) & v10_vectsp_1(F,A) & v11_vectsp_1(F,A) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & l1_vectsp_1(F,A) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(E),u1_struct_0(F)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ~ ( B = g1_mod_2(A,D,E,G) & C = g1_mod_2(A,E,F,H) & k8_mod_2(A,C,B) = g1_mod_2(A,D,F,k1_partfun1(u1_struct_0(D),u1_struct_0(E),u1_struct_0(E),u1_struct_0(F),G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => v2_mod_3(k1_vectsp_4(A,B),A) ) ) )).
fof(t14_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_mod_4(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_mod_4(A,B))) => ( ( D = E & F = G ) => k2_binop_1(u1_struct_0(k2_mod_4(A)),u1_struct_0(k5_mod_4(A,B)),u1_struct_0(k5_mod_4(A,B)),k6_mod_4(A,B,C),E,G) = k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),C,F,D) ) ) ) ) ) ) ) ) )).
fof(t14_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,A) => ! [D] : ( m1_trees_1(D,k5_trees_1(A,C,B)) => ! [E] : ( m1_trees_1(E,A) => ( D = E => ( r3_xboole_0(C,E) | k1_trees_2(k5_trees_1(A,C,B),D) = k1_trees_2(A,E) ) ) ) ) ) ) ) ) )).
fof(t14_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,D))) => ( r3_modelc_1(A,B,D,C,k25_modelc_1(k48_modelc_1(A,B,D),E)) <=> ? [F] : ( m1_modelc_1(F,A,B) & k3_funct_2(k4_ordinal1,A,F,k5_numbers) = C & r3_modelc_1(A,B,D,k3_funct_2(k4_ordinal1,A,F,1),E) ) ) ) ) ) ) ) )).
fof(t14_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r1_modelc_2(B,k6_modelc_2(A)) <=> B = A ) ) ) )).
fof(t14_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(B))) => ( C = k1_tarski(A) => k18_modelc_3(B,C) = k3_finseq_1(A) ) ) ) ) )).
fof(t14_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( m1_subset_1(B,k4_ordinal1) & r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(A)),k2_finseq_1(B)) ) ) )).
fof(t14_moebius2,axiom,( k9_newton(7) = k1_enumset1(2,3,5) )).
fof(t14_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v17_monoid_0(A) <=> ( v1_setwiseo(u2_algstr_0(A),u1_struct_0(A)) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k3_binop_1(u1_struct_0(A),u2_algstr_0(A)) => ( B = C & C = k3_binop_1(u1_struct_0(A),u2_algstr_0(A)) ) ) ) ) ) ) ) )).
fof(t14_monoid_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v9_monoid_0(C,B) => v9_monoid_0(k8_monoid_1(B,B,B,C,A),k9_funct_2(A,B)) ) ) ) )).
fof(t14_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_tarski(k2_morph_01(A,k6_setfam_1(u1_struct_0(A),B),C),k1_setfam_1(a_3_5_morph_01(A,B,C))) ) ) ) )).
fof(t14_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v2_relat_1(k13_msafree(A,B)) ) ) )).
fof(t14_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => r2_pboole(u1_struct_0(A),k2_msafree3(A,C),B) ) ) ) )).
fof(t14_msafree4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r2_pboole(A,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => r2_pboole(B,k3_msafree4(A,B,E,C),k3_msafree4(A,B,E,D)) ) ) ) ) ) )).
fof(t14_msafree5,axiom,( k3_trees_1(k2_trees_1(k5_numbers)) = k1_tarski(k1_xboole_0) )).
fof(t14_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(B,D)) => ( C = k1_trees_4(k4_tarski(E,D)) => k7_msaterm(A,B,C) = D ) ) ) ) ) ) )).
fof(t14_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => k1_funct_1(k7_graph_2(A,B),k1_nat_1(k3_finseq_1(B),1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,k3_finseq_1(B))) ) ) )).
fof(t14_mssubfam,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_hidden(B,A) & D = k1_funct_1(C,B) ) => k1_funct_1(k1_funct_6(C),B) = k9_xtuple_0(D) ) ) ) )).
fof(t14_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_msualg_2(k9_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( C = u1_struct_0(A) => v1_unialg_2(C,B) ) ) ) ) ) )).
fof(t14_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( r2_tarski(C,k6_msualg_2(A,B)) <=> v3_msualg_2(C,A,B) ) ) ) ) )).
fof(t14_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B)) => ( ( r4_msualg_3(A,B,C,D) & r8_pboole(u1_struct_0(A),E,k4_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D)) ) => r4_msualg_3(A,C,B,E) ) ) ) ) ) ) )).
fof(t14_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v2_msualg_4(D,A,B) & v3_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [F] : ( ( v2_msualg_4(F,A,B) & m1_msualg_4(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( r8_pboole(u1_struct_0(A),F,k4_msualg_5(u1_struct_0(A),u3_msualg_1(A,B),D,E)) => ! [G] : ( m1_subset_1(G,k3_msualg_1(A,C,B)) => ! [H] : ( m1_subset_1(H,k3_msualg_1(A,C,B)) => ( ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k9_xtuple_0(G)) => r2_hidden(k4_tarski(k1_funct_1(G,I),k1_funct_1(H,I)),k2_msualg_4(A,B,F,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),I))) ) ) => r2_hidden(k4_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),G),k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),H)),k2_msualg_4(A,B,F,k2_msualg_1(A,C))) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_msualg_6(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_rewrite1(E,k3_msualg_6(A)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v1_funcop_1(F) ) => ( ( k3_finseq_1(E) = k1_nat_1(k3_finseq_1(F),1) & C = k1_funct_1(E,1) & D = k1_funct_1(E,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r2_tarski(G,k4_finseq_1(F)) & H = k1_funct_1(F,G) & I = k1_funct_1(E,G) & J = k1_funct_1(E,k1_nat_1(G,1)) ) => r1_msualg_6(A,I,J,B,H) ) ) ) ) ) ) => ( v1_funct_1(k3_funct_7(k1_funct_1(u3_msualg_1(A,B),C),F)) & v1_funct_2(k3_funct_7(k1_funct_1(u3_msualg_1(A,B),C),F),k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D)) & m1_subset_1(k3_funct_7(k1_funct_1(u3_msualg_1(A,B),C),F),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D)))) & ( F != k1_xboole_0 => ( k1_funct_1(u3_msualg_1(A,B),C) != k1_xboole_0 & k1_funct_1(u3_msualg_1(A,B),D) != k1_xboole_0 ) ) ) ) ) ) ) ) ) ) )).
fof(t14_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v1_msualg_7(B,A) => v4_lattice3(B) ) ) ) )).
fof(t14_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_msualg_5(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_msualg_5(A,B)))) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [F] : ( ( v2_msualg_4(F,A,B) & v3_msualg_4(F,A,B) & m1_msualg_4(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( ( E = k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C) & F = k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),D) ) => k4_msualg_5(u1_struct_0(A),u3_msualg_1(A,B),E,F) = k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),k4_subset_1(u1_struct_0(k6_msualg_5(A,B)),C,D)) ) ) ) ) ) ) ) )).
fof(t14_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_pralg_2(D,B,A) => ! [E] : ( m1_subset_1(E,k4_card_3(k9_pralg_2(B,A,C,D))) => ! [F] : ( m1_subset_1(F,k4_card_3(k9_pralg_2(B,A,C,D))) => ( ! [G] : ( m1_subset_1(G,B) => k1_funct_1(k12_card_3(k9_pralg_2(B,A,C,D),G),E) = k1_funct_1(k12_card_3(k9_pralg_2(B,A,C,D),G),F) ) => r8_pboole(B,E,F) ) ) ) ) ) ) ) )).
fof(t14_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k6_msualg_1(A))) => ! [C] : ( m1_subset_1(C,k3_msualg_1(k6_msualg_1(A),B,k9_msualg_1(A))) => m2_finseq_1(C,u1_struct_0(A)) ) ) ) )).
fof(t14_mycielsk,axiom,( ! [A] : ( ( v8_struct_0(A) & l1_orders_2(A) ) => r1_xxreal_0(k3_mycielsk(A),k4_card_1(u1_struct_0(A))) ) )).
fof(t14_nagata_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r2_tarski(k7_subset_1(u1_struct_0(B),k2_struct_0(B),k9_metric_1(B,C,A)),k2_pcomps_1(B)) ) ) ) )).
fof(t14_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(u1_struct_0(A),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(A),k1_numbers)))) ) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) & r2_relset_1(u1_struct_0(A),k1_numbers,k1_seqfunc(u1_struct_0(A),k1_numbers,B,C),D) & v1_pscomp_1(D,A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k1_numbers,D,E)) ) ) ) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( v1_series_1(C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_xxreal_0(k8_nat_1(k1_numbers,k10_seqfunc(u1_struct_0(A),B,E),D),k8_nat_1(k1_numbers,C,D)) ) ) ) ) | ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,C,D) = k4_series_1(k10_seqfunc(u1_struct_0(A),B,D)) ) => v1_pscomp_1(C,A) ) ) ) ) ) ) )).
fof(t14_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(1,A) => A = k5_numbers ) ) )).
fof(t14_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( A != k5_numbers => k3_nat_d(k2_xcmplx_0(B,A),A) = k1_nat_1(k3_nat_d(B,A),1) ) ) ) )).
fof(t14_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k21_rvsum_1(k2_nat_3(B,k2_xcmplx_0(A,1))) = k3_xcmplx_0(k21_rvsum_1(k2_nat_3(B,A)),k21_rvsum_1(B)) ) ) )).
fof(t14_nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_int_2(A) <=> ( ~ r1_xxreal_0(A,1) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( ~ r1_xxreal_0(B,1) & r1_xxreal_0(k2_nat_1(B,B),A) & v1_int_2(B) & r1_nat_d(B,A) ) ) ) ) ) )).
fof(t14_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k3_moebius1(A)) & r2_tarski(D,k3_moebius1(B)) & r1_int_2(A,B) ) => r1_int_2(C,D) ) ) ) ) ) )).
fof(t14_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_int_1(B,C,A) & r2_int_1(B,D,A) ) => ( r1_xxreal_0(A,C) | r1_xxreal_0(A,D) | C = D ) ) ) ) ) ) )).
fof(t14_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => k2_nat_d(1,A) = 1 ) ) )).
fof(t14_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k10_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_nat_lat)) => k2_lattices(k10_nat_lat,A,B) = k6_nat_d(k11_nat_lat(A),k11_nat_lat(B)) ) ) )).
fof(t14_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( k9_cat_3(A,D,D,B,C,k4_cat_1(A,D)) = k4_cat_1(B,E) => k8_cat_1(A,B,C,D) = E ) ) ) ) ) ) )).
fof(t14_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ( v1_matrlin(k5_nbvectsp(A),k2_bspace) & k1_vectsp_9(k2_bspace,k5_nbvectsp(A)) = A ) ) )).
fof(t14_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ncfcont1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_ncfcont1(E,B,k7_partfun1(u1_struct_0(B),C,D)) => ? [F] : ( m1_ncfcont1(F,A,D) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(G,k1_relset_1(u1_struct_0(A),C)) & r2_tarski(G,F) ) => r2_tarski(k7_partfun1(u1_struct_0(B),C,G),E) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r2_ncfcont2(A,B,C,D) => r2_ncfcont2(A,B,C,k5_vfunct_1(u1_struct_0(C),B,D)) ) ) ) ) )).
fof(t14_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_comseq_2(B) & v3_normsp_1(C,A) ) => k5_normsp_1(A,k1_ndiff_1(A,C,B)) = k1_rlvect_1(A,k5_normsp_1(A,C),k1_seq_2(B)) ) ) ) ) )).
fof(t14_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_ndiff_3(A,C,B) & r1_ndiff_3(A,D,B) ) => ( r1_ndiff_3(A,k6_vfunct_1(k1_numbers,A,C,D),B) & k1_ndiff_3(A,k6_vfunct_1(k1_numbers,A,C,D),B) = k3_rlvect_1(A,k1_ndiff_3(A,C,B),k1_ndiff_3(A,D,B)) ) ) ) ) ) ) )).
fof(t14_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & r2_ndiff_4(A,C,B) ) => ( r2_ndiff_4(A,k2_nfcont_4(A,k1_numbers,C),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_ndiff_4(A,k2_nfcont_4(A,k1_numbers,C),B),D) = k6_euclid(A,k1_ndiff_4(A,C,D)) ) ) ) ) ) ) ) )).
fof(t14_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k4_prvect_2(A))) => ( k4_struct_0(k14_prvect_2(A)) = B <=> ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => k1_ndiff_5(A,B,C) = k4_struct_0(k11_prvect_2(A,C)) ) ) ) ) )).
fof(t14_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v7_ordinal1(E) => ( r1_ndiff_6(A,B,C,D,E) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,k6_xcmplx_0(E,1)) => r2_ndiff_1(D,A,k3_ndiff_6(A,B,F),k6_ndiff_6(A,B,C,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t14_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) & v1_mazurulm(C,A,B) ) => ( v1_nfcont_1(D,A) <=> v1_nfcont_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(t14_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)) = k2_xboole_0(k3_eqrel_1(u1_struct_0(A),k6_partfun1(u1_struct_0(A)),u1_orders_2(A)),u1_orders_2(k3_necklace(A))) ) )).
fof(t14_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_necklace(A) => r1_xboole_0(u1_orders_2(A),k3_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))) ) ) )).
fof(t14_net_1,axiom,( ! [A] : ! [B] : ( ( v1_net_1(B) & l1_petri(B) ) => ! [C] : ( m1_subset_1(C,k2_net_1(B)) => ( r2_tarski(C,u4_struct_0(B)) => ( r2_tarski(A,k4_net_1(B,C)) <=> r2_net_1(B,C,A) ) ) ) ) )).
fof(t14_newton,axiom,( k2_newton(2) = 2 )).
fof(t14_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v1_int_1(D) => ( k6_xcmplx_0(k1_newton(A,k2_xcmplx_0(C,1)),k1_newton(B,k2_xcmplx_0(C,1))) = k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(A,B),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(D,k2_xcmplx_0(A,B)),k1_newton(A,C)),k1_newton(B,C))),2) <=> k6_xcmplx_0(k1_newton(A,C),k1_newton(B,C)) = k3_xcmplx_0(k6_xcmplx_0(A,B),D) ) ) ) ) ) )).
fof(t14_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_tarski(k2_relset_1(u1_struct_0(A),D),k1_relset_1(u1_struct_0(A),C)) => ( r2_funct_2(k4_ordinal1,k1_numbers,k5_normsp_0(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C)),k8_funct_2(k4_ordinal1,k1_numbers,u1_struct_0(A),D,k4_normsp_0(u1_struct_0(A),B,C))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),k5_vfunct_1(k4_ordinal1,B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C)),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,k5_vfunct_1(u1_struct_0(A),B,C))) ) ) ) ) ) ) )).
fof(t14_nfcont_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_nfcont_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D) = D => C = D ) ) ) ) ) ) ) )).
fof(t14_nfcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,C)) & r1_nfcont_3(B,C,A) ) => ( r1_fcont_1(k4_normsp_0(k1_numbers,B,C),A) & r1_nfcont_3(B,k5_vfunct_1(k1_numbers,B,C),A) ) ) ) ) ) )).
fof(t14_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r2_hidden(B,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k1_relset_1(k1_numbers,D))) & r1_nfcont_4(A,C,B) & r1_nfcont_4(A,D,B) ) => r1_nfcont_4(A,k7_integr15(A,k1_numbers,C,D),B) ) ) ) ) ) )).
fof(t14_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(A,B)) => ( r1_normform(A,B,k3_normform(A,B,C,D),E) => r1_normform(A,B,C,k1_normform(A,B,D,E)) ) ) ) ) ) ) )).
fof(t14_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,B,D) = C ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_xtuple_0(B) != k6_domain_1(u1_struct_0(A),C) ) ) ) ) )).
fof(t14_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k3_normsp_2(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k3_normsp_2(A))))) ) => ( ( r1_funct_2(k4_ordinal1,u1_struct_0(A),k4_ordinal1,u1_struct_0(k3_normsp_2(A)),B,C) & v2_frechet(C,k3_normsp_2(A)) ) => ( k2_frechet(k3_normsp_2(A),C) = k6_domain_1(u1_struct_0(A),k5_normsp_1(A,B)) & k2_frechet2(k3_normsp_2(A),C) = k5_normsp_1(A,B) ) ) ) ) ) )).
fof(t14_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_normsp_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & r1_tarski(k2_relset_1(u1_struct_0(A),D),B) & v3_normsp_1(D,A) & k5_normsp_1(A,D) = C ) ) ) ) ) )).
fof(t14_ntalgo_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ? [B] : ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_numbers) & k3_finseq_1(B) = k1_nat_1(k3_finseq_1(A),1) & k1_funct_1(B,1) = 1 & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k1_funct_1(B,k1_nat_1(C,1)) = k3_xcmplx_0(k1_funct_1(B,C),k1_funct_1(A,C)) ) ) & k19_rvsum_1(A) = k1_funct_1(B,k1_nat_1(k3_finseq_1(A),1)) ) ) )).
fof(t14_numbers,axiom,( r1_tarski(k4_numbers,k3_numbers) )).
fof(t14_numeral2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k5_int_1(k5_int_1(A,B),B) = k5_int_1(A,B) ) ) )).
fof(t14_numpoly1,axiom,( k1_numpoly1(4) = 10 )).
fof(t14_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_o_ring_1(B,A) & v9_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t14_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(k8_openlatt(A),k3_lattices(A,B,C)) = k2_xboole_0(k1_funct_1(k8_openlatt(A),B),k1_funct_1(k8_openlatt(A),C)) ) ) ) )).
fof(t14_oposet_1,axiom,( v9_oposet_1(u1_robbins1(k1_oposet_1),k1_oposet_1) )).
fof(t14_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) = k4_struct_0(k5_ordeq_01(A,B)) ) ) )).
fof(t14_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_nfcont_3(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( k1_relset_1(k1_numbers,E) = k1_rcomp_1(B,C) & k1_relset_1(k1_numbers,D) = k1_rcomp_1(B,C) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k1_rcomp_1(B,C)) => k7_partfun1(u1_struct_0(A),D,F) = k6_integr18(A,E,B,F) ) ) ) => ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,k1_rcomp_1(B,C)) => r1_nfcont_3(A,D,F) ) ) ) ) ) ) ) ) )).
fof(t14_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( k1_relset_1(A,B) = A & k2_relset_1(A,B) = A ) ) )).
fof(t14_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => k1_orders_2(A,k1_struct_0(A)) = u1_struct_0(A) ) )).
fof(t14_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ~ ( ~ r2_tarski(A,B) & A != B & ~ r2_tarski(B,A) ) ) ) )).
fof(t14_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( r2_tarski(A,B) => r1_ordinal1(k2_ordinal2(B),A) ) ) )).
fof(t14_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ( r2_tarski(A,1) => A = k1_xboole_0 ) ) )).
fof(t14_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_ordinal1(D) & v1_funct_1(D) & v1_ordinal2(D) ) => ( ( v2_ordinal2(C) & r1_ordinal2(B,D) & k3_ordinal2(k10_xtuple_0(C)) = k9_xtuple_0(D) & A = k3_relat_1(C,D) ) => r1_ordinal2(B,A) ) ) ) ) ) )).
fof(t14_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => k1_ordinal5(A,k1_ordinal1(B)) = k12_ordinal2(A,k1_ordinal5(A,B)) ) ) )).
fof(t14_ordinal6,axiom,( k1_ordinal6(k1_xboole_0) = k5_numbers )).
fof(t14_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_orders_2(B,D,C) & F != k4_struct_0(A) & k1_ortsp_1(A,B,C,k3_vectsp_1(A,B,F,D),E) != k8_group_1(A,k9_algstr_0(A,F),k1_ortsp_1(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(t14_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k8_osafree(A,B)))) <=> m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) ) ) ) )).
fof(t14_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v8_osalg_1(A) & v10_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( r2_osalg_1(A,C,k1_msualg_1(A,B)) => r5_osalg_1(A,B,k2_osalg_1(A,B,C),C) ) ) ) ) )).
fof(t14_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msualg_2(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & m1_msualg_2(C,A,B) ) => ( v2_relat_1(k3_osalg_2(A,B)) & m2_osalg_2(k3_osalg_2(A,B),A,C) ) ) ) ) )).
fof(t14_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v12_osalg_1(C,A) & m1_msualg_2(C,A,B) ) => v13_osalg_1(C,A) ) ) ) )).
fof(t14_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v2_msualg_4(D,A,C) & v3_msualg_4(D,A,C) & m1_osalg_4(D,A,C) ) => ! [E] : ~ ( r2_tarski(E,k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k7_osalg_4(A,C,D))),B)) & ! [F] : ( m1_subset_1(F,k3_msualg_1(A,B,C)) => E != k9_osalg_4(A,B,C,D,F) ) ) ) ) ) ) )).
fof(t14_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v7_struct_0(B) & v2_analoaf(B) & l1_analoaf(B) ) => ( B = k2_analoaf(A) => v4_aff_2(k2_diraf(B)) ) ) ) )).
fof(t14_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A))) => r1_parsp_1(k9_parsp_1(A),B,C,D,D) ) ) ) ) )).
fof(t14_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_parsp_2(A,B,C,D) ) ) ) ) ) )).
fof(t14_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( v1_funct_1(k5_relat_1(k6_relat_1(B,C),A)) & m1_subset_1(k5_relat_1(k6_relat_1(B,C),A),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(t14_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ( v2_funct_1(C) & k1_relset_1(A,C) = k2_relset_1(A,D) & k2_relset_1(B,C) = k1_relset_1(B,D) & ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,B) => ( ( r2_tarski(E,k1_relset_1(A,C)) & r2_tarski(F,k1_relset_1(B,D)) ) => ( k7_partfun1(B,C,E) = F <=> k7_partfun1(A,D,F) = E ) ) ) ) ) => D = k2_funct_1(C) ) ) ) ) ) )).
fof(t14_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => k2_partit1(A,k2_partit1(A,B,C),D) = k2_partit1(A,B,k2_partit1(A,C,D)) ) ) ) ) )).
fof(t14_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ( v2_bvfunc_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ( ( r1_tarski(C,B) & r1_tarski(D,B) ) => r2_relset_1(A,A,k4_relset_1(A,A,A,A,k4_partit1(A,k2_bvfunc_2(A,C)),k4_partit1(A,k2_bvfunc_2(A,D))),k4_relset_1(A,A,A,A,k4_partit1(A,k2_bvfunc_2(A,D)),k4_partit1(A,k2_bvfunc_2(A,C)))) ) ) ) ) ) ) )).
fof(t14_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_diraf(A,E,B,C,D) & r2_diraf(A,E,C,B,D) ) => ( r3_diraf(A,E,B,C) | ( r2_analoaf(A,E,B,C,D) & r2_analoaf(A,E,C,B,D) ) ) ) ) ) ) ) ) )).
fof(t14_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,B,k2_pboole(A,B,C)) ) ) )).
fof(t14_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( r1_tarski(B,C) => r1_tarski(k1_pcomps_1(A,B),k1_pcomps_1(A,C)) ) ) ) ) )).
fof(t14_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => ( u1_struct_0(k19_pcs_0(A,B)) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) & u1_orders_2(k19_pcs_0(A,B)) = k2_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)) & u1_pcs_0(k19_pcs_0(A,B)) = k2_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_pcs_0(A),u1_pcs_0(B)) ) ) ) )).
fof(t14_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1))))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( ( C = k3_pdiff_1(A,D) & E = F ) => ( r2_pdiff_1(1,A,B,C,E) <=> r3_pdiff_1(A,B,D,F) ) ) ) ) ) ) ) ) )).
fof(t14_pdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(2)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( C = k10_finseq_1(A,B) & r3_pdiff_1(2,2,D,C) ) => k10_pdiff_1(2,2,D,C) = k1_fdiff_1(k1_pdiff_2(2,2,D,C),B) ) ) ) ) ) )).
fof(t14_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r2_pdiff_3(B,A) => k3_pdiff_3(B,A) = k10_pdiff_1(2,2,k1_pdiff_3(1,2,B),A) ) ) ) )).
fof(t14_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r3_pdiff_1(3,2,A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,D) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,A,B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,A,B),I),k1_funct_1(k1_pdiff_2(3,2,A,B),D)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,D)),k1_funct_1(H,k6_xcmplx_0(I,D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r5_pdiff_5(E,D) ) => k5_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,2,k1_pdiff_3(2,3,E),D),B) ) ) ) ) ) ) )).
fof(t14_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & v1_pdiff_6(C,A,B) & v2_pdiff_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) <=> ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))) & v13_vectsp_1(C,k4_real_ns1(B),k4_real_ns1(A)) & v1_lopban_1(C,k4_real_ns1(B),k4_real_ns1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))))) ) ) ) ) )).
fof(t14_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,k4_struct_0(k4_real_ns1(A))),k3_rlvect_1(k4_real_ns1(1),B,C)) = k3_rlvect_1(k4_real_ns1(A),k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,k4_struct_0(k4_real_ns1(A))),B),k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,k4_struct_0(k4_real_ns1(A))),C)) ) ) ) ) ) )).
fof(t14_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ! [G] : ( v7_ordinal1(G) => ( ( E = k3_relat_1(C,k4_pdiff_1(G,B)) & F = k3_relat_1(D,k4_pdiff_1(G,B)) & r1_xxreal_0(1,G) & r1_xxreal_0(G,B) ) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),E,F)),k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),C,D))) ) ) ) ) ) ) ) ) )).
fof(t14_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( v1_pdiff_7(C,A) => ( r1_pdiff_6(C,B,A,D) <=> ( r1_tarski(C,k1_relset_1(k1_euclid(A),D)) & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( r2_tarski(E,C) => r1_pdiff_1(A,B,D,E) ) ) ) ) ) ) ) ) ) )).
fof(t14_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_pencil_1(A,B))) => ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) ) ) ) )).
fof(t14_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_zfmisc_1(C) & v1_zfmisc_1(k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) ) )).
fof(t14_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_pencil_1(A,B,C)))) => ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => m1_subset_1(k4_card_3(k1_funct_7(E,C,D)),k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) ) ) ) ) ) )).
fof(t14_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ( v1_vectsp_7(k7_domain_1(u1_struct_0(B),D,E),A,B) & k2_vectsp_5(A,B,C,k1_vectsp_7(A,B,k7_domain_1(u1_struct_0(B),D,E))) = k1_vectsp_4(A,B) ) => ( D = E | k1_vectsp_9(A,k1_vectsp_5(A,B,C,k1_vectsp_7(A,B,k7_domain_1(u1_struct_0(B),D,E)))) = k1_nat_1(k1_vectsp_9(A,C),2) ) ) ) ) ) ) ) )).
fof(t14_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k4_nat_d(A,B) = C => ( r1_xxreal_0(B,k1_square_1(C)) | k4_nat_d(k1_square_1(A),B) = k1_square_1(C) ) ) ) ) ) )).
fof(t14_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ( u1_struct_0(A) = u1_struct_0(k11_petri(A)) & u4_struct_0(A) = u4_struct_0(k11_petri(A)) & k10_petri(u1_struct_0(A),u4_struct_0(A),u1_petri(A)) = u2_petri(k11_petri(A)) & k10_petri(u4_struct_0(A),u1_struct_0(A),u2_petri(A)) = u1_petri(k11_petri(A)) ) ) )).
fof(t14_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u4_struct_0(A)) => ( r2_petri_df(A,B,k8_finseq_1(u4_struct_0(A),C,D)) => ( r2_petri_df(A,k7_petri_df(A,B,C),D) & r2_petri_df(A,B,C) ) ) ) ) ) ) )).
fof(t14_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( r2_pnproc_1(A,B,C) & r2_pnproc_1(A,D,E) & r2_pnproc_1(A,E,B) ) => r2_pnproc_1(A,k3_pnproc_1(A,B,E),k3_pnproc_1(A,C,D)) ) ) ) ) ) )).
fof(t14_polyalg1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( l1_polyalg1(B,A) => ! [C] : ( l1_polyalg1(C,A) => ( g1_polyalg1(A,u1_struct_0(B),u1_algstr_0(B),u2_algstr_0(B),u2_struct_0(B),u3_struct_0(B),u1_vectsp_1(A,B)) = g1_polyalg1(A,u1_struct_0(C),u1_algstr_0(C),u2_algstr_0(C),u2_struct_0(C),u3_struct_0(C),u1_vectsp_1(A,C)) => m1_polyalg1(B,A,C) ) ) ) ) )).
fof(t14_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_newton(k2_xcmplx_0(B,A),3) = k2_xcmplx_0(k2_xcmplx_0(k1_newton(B,3),k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),k1_square_1(B)),k3_xcmplx_0(k3_xcmplx_0(3,k1_square_1(A)),B))),k1_newton(A,3)) ) ) )).
fof(t14_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k4_polyeq_1(A,k5_numbers,B,C,D) = k5_numbers => ( A = k5_numbers | k4_complex1(D) = k5_numbers | ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( k3_complex1(D) = k2_xcmplx_0(E,F) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,F),E),k7_xcmplx_0(B,k3_xcmplx_0(4,A))) = k5_numbers & D != k2_xcmplx_0(k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3))))),k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))),k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3,k1_square_1(k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3))))),k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))))),k7_xcmplx_0(B,A))),k7_complex1)) & D != k6_xcmplx_0(k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3))))),k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))),k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3,k1_square_1(k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3))))),k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))))),k7_xcmplx_0(B,A))),k7_complex1)) & D != k2_xcmplx_0(k3_xcmplx_0(2,k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))),k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3,k1_square_1(k3_xcmplx_0(2,k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))))),k7_xcmplx_0(B,A))),k7_complex1)) & D != k6_xcmplx_0(k3_xcmplx_0(2,k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))),k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3,k1_square_1(k3_xcmplx_0(2,k1_power(3,k2_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))))),k7_xcmplx_0(B,A))),k7_complex1)) & D != k2_xcmplx_0(k3_xcmplx_0(2,k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))),k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3,k1_square_1(k3_xcmplx_0(2,k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))))),k7_xcmplx_0(B,A))),k7_complex1)) & D != k6_xcmplx_0(k3_xcmplx_0(2,k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))),k3_xcmplx_0(k3_square_1(k2_xcmplx_0(k3_xcmplx_0(3,k1_square_1(k3_xcmplx_0(2,k1_power(3,k6_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(16,A)),k3_square_1(k2_xcmplx_0(k1_square_1(k7_xcmplx_0(C,k3_xcmplx_0(16,A))),k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(12,A)),3)))))))),k7_xcmplx_0(B,A))),k7_complex1)) ) ) ) ) ) ) ) ) ) )).
fof(t14_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( k2_xcmplx_0(A,B) = C & k3_xcmplx_0(A,B) = D & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D))) & ~ ( A = k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2) & B = k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2) ) & ~ ( A = k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2) & B = k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2) ) ) ) ) ) ) )).
fof(t14_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ( ( D = k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(E,F),G)) & C = k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E,F),k3_xcmplx_0(E,G)),k3_xcmplx_0(F,G)) & B = k4_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E,F),G)) ) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ~ ( A != E & A != F & A != G ) ) ) ) ) ) ) ) ) ) )).
fof(t14_polyform,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(k4_xcmplx_0(1),A) = k1_newton(k4_xcmplx_0(1),k2_xcmplx_0(A,2)) ) )).
fof(t14_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) => k4_rlvect_1(A,k5_pre_poly(u1_struct_0(A),B)) = k4_rlvect_1(A,k6_matrlin(A,B)) ) ) )).
fof(t14_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k1_polynom2(A,k16_pre_poly(A),B,C) = k5_struct_0(B) ) ) ) )).
fof(t14_polynom3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k2_finseq_1(k1_nat_1(A,1))) => k1_funct_1(k6_polynom3(2,A),B) = k2_polynom3(k4_ordinal1,k7_nat_d(B,1),k7_nat_d(k1_nat_1(A,1),B)) ) ) ) )).
fof(t14_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_polynom4(A,k10_polynom3(A)),k10_polynom3(A)) ) )).
fof(t14_polynom5,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => r1_xxreal_0(k9_complex1(k4_rlvect_1(k1_complfld,A)),k18_rvsum_1(k2_polynom5(A))) ) )).
fof(t14_polynom6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( m2_subset_1(C,k14_pre_poly(A),k15_pre_poly(A)) => ! [D] : ( m2_subset_1(D,k14_pre_poly(B),k15_pre_poly(B)) => ! [E] : ( m2_finseq_1(E,k3_finseq_2(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))))) => ( ( k4_finseq_1(E) = k4_finseq_1(k21_pre_poly(A,C)) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(k21_pre_poly(A,C))) & ! [G] : ( m2_subset_1(G,k14_pre_poly(A),k15_pre_poly(A)) => ! [H] : ( m2_subset_1(H,k14_pre_poly(A),k15_pre_poly(A)) => ! [I] : ( m2_finseq_1(I,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))) => ~ ( I = k9_pre_poly(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))),k4_ordinal1,k3_finseq_2(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B)))),E,F) & k9_pre_poly(k15_pre_poly(A),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(A)),k21_pre_poly(A,C),F) = k2_polynom3(k15_pre_poly(A),G,H) & k3_finseq_1(I) = k3_finseq_1(k21_pre_poly(B,D)) & ! [J] : ( v7_ordinal1(J) => ~ ( r2_tarski(J,k4_finseq_1(I)) & ! [K] : ( m2_subset_1(K,k14_pre_poly(B),k15_pre_poly(B)) => ! [L] : ( m2_subset_1(L,k14_pre_poly(B),k15_pre_poly(B)) => ~ ( k9_pre_poly(k15_pre_poly(B),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(B)),k21_pre_poly(B,D),J) = k2_polynom3(k15_pre_poly(B),K,L) & k9_pre_poly(k15_pre_poly(k10_ordinal2(A,B)),k4_ordinal1,k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))),I,J) = k2_polynom3(k15_pre_poly(k10_ordinal2(A,B)),k1_polynom6(A,B,G,K),k1_polynom6(A,B,H,L)) ) ) ) ) ) ) ) ) ) ) ) ) => k21_pre_poly(k10_ordinal2(A,B),k1_polynom6(A,B,C,D)) = k5_pre_poly(k4_finseq_2(2,k15_pre_poly(k10_ordinal2(A,B))),E) ) ) ) ) ) ) )).
fof(t14_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) <=> ( r2_funct_2(k15_pre_poly(A),u1_struct_0(B),C,k8_polynom1(A,B)) | k3_polynom1(k15_pre_poly(A),B,C) = k6_domain_1(k15_pre_poly(A),k16_pre_poly(A)) ) ) ) ) )).
fof(t14_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_polynom8(A,B,1) = B ) ) )).
fof(t14_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,k1_polyred(A,D,B,C)),a_4_0_polyred(A,B,C,D)) ) ) ) ) )).
fof(t14_poset_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_hidden(A,B) => r2_tarski(k1_funct_1(k6_poset_2(B,C,D),A),C) ) ) ) ) )).
fof(t14_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,C) & r1_xxreal_0(1,B) ) | ( ~ v1_abian(C) & ~ v1_abian(B) ) ) => k1_power(C,k1_power(B,A)) = k1_power(k3_xcmplx_0(C,B),A) ) ) ) ) )).
fof(t14_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => r2_tarski(E,k1_funct_2(k1_relset_1(k4_ordinal1,k1_msualg_1(B,D)),k1_funct_2(A,k3_tarski(a_3_1_pralg_3(A,B,C))))) ) ) ) ) ) )).
fof(t14_pre_circ,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_trees_3(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v4_trees_3(B) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => ( D = k1_nat_1(C,1) | k1_funct_1(A,D) = k1_funct_1(B,D) ) ) ) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_trees_1(D) ) => ( k1_funct_1(B,k1_nat_1(C,1)) = D => k11_trees_3(B) = k5_trees_1(k11_trees_3(A),k12_finseq_1(k4_ordinal1,C),D) ) ) ) ) ) ) )).
fof(t14_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k2_xcmplx_0(k1_int_1(k3_power(2,A)),1) = k1_int_1(k3_power(2,k1_nat_1(k3_xcmplx_0(2,A),1))) ) ) )).
fof(t14_pre_poly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ~ ! [C] : ( m1_subset_1(C,k4_partfun1(A,B)) => C = k1_xboole_0 ) ) ) )).
fof(t14_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v4_pre_topc(C,A) ) ) => v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t14_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r2_relset_1(A,A,B,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B))))) ) ) )).
fof(t14_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,B,C)),k2_prelamb(A,k2_prelamb(A,B,D),k2_prelamb(A,C,D))) ) ) ) ) )).
fof(t14_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(A,1) & r1_xxreal_0(1,B) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k1_newton(A,B),A) ) ) ) ) )).
fof(t14_prob_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k3_prob_1(A,k11_funct_7(k1_zfmisc_1(A),B,C)) = k9_subset_1(A,B,C) ) ) )).
fof(t14_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ! [F] : ( m2_prob_1(F,A,B) => ( E = k3_subset_1(A,D) => k3_funct_2(B,k1_numbers,F,C) = k3_real_1(k3_funct_2(B,k1_numbers,F,k5_prob_1(A,B,C,D)),k3_funct_2(B,k1_numbers,F,k5_prob_1(A,B,C,E))) ) ) ) ) ) ) ) )).
fof(t14_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k3_prob_1(A,k1_prob_3(A,B)) = k3_prob_1(A,B) ) )).
fof(t14_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( k1_funct_1(C,A) = 1 => m2_prob_1(C,A,B) ) ) ) ) )).
fof(t14_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,C),k9_cqc_lang(A,k6_cqc_lang(A,B),C)),k4_cqc_the1(A)) ) ) ) )).
fof(t14_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ ( B != C & B != D & C != D & B != E & C != E & E != D ) => r1_projdes1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t14_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ( ( v1_projpl_1(A) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),F) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,E),G) & r1_projpl_1(A,B,C,G) & r1_projpl_1(A,D,E,F) ) => ( B = C | D = E | r5_projpl_1(A,B,C,D,E) ) ) ) ) ) ) ) ) ) )).
fof(t14_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v8_incproj(A) & l1_incsp_1(A) ) => ? [B] : ( m1_subset_1(B,u1_incsp_1(A)) & ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u1_incsp_1(A)) & ? [G] : ( m1_subset_1(G,u1_incsp_1(A)) & ? [H] : ( m1_subset_1(H,u1_incsp_1(A)) & ? [I] : ( m1_subset_1(I,u2_incsp_1(A)) & ? [J] : ( m1_subset_1(J,u2_incsp_1(A)) & ? [K] : ( m1_subset_1(K,u2_incsp_1(A)) & ? [L] : ( m1_subset_1(L,u2_incsp_1(A)) & ? [M] : ( m1_subset_1(M,u2_incsp_1(A)) & ? [N] : ( m1_subset_1(N,u2_incsp_1(A)) & ? [O] : ( m1_subset_1(O,u2_incsp_1(A)) & ? [P] : ( m1_subset_1(P,u2_incsp_1(A)) & ~ r1_incsp_1(A,C,M) & ~ r1_incsp_1(A,D,M) & ~ r1_incsp_1(A,B,L) & ~ r1_incsp_1(A,E,L) & ~ r1_incsp_1(A,B,N) & ~ r1_incsp_1(A,D,N) & ~ r1_incsp_1(A,C,O) & ~ r1_incsp_1(A,E,O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,B,E),M) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),F,C,D),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,C,E),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,B,D),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,B,C),I) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,D,E),J) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),F,G),K) & ~ r1_incsp_1(A,H,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ( ( r1_incsp_1(A,D,L) & r1_incsp_1(A,D,N) & r1_incsp_1(A,D,P) & r1_incsp_1(A,B,O) & r1_incsp_1(A,C,O) & r1_incsp_1(A,E,N) & r1_incsp_1(A,E,M) & r1_incsp_1(A,B,I) & r1_incsp_1(A,E,I) & r1_incsp_1(A,F,L) & r1_incsp_1(A,F,I) & r1_incsp_1(A,H,O) & r1_incsp_1(A,H,J) & r1_incsp_1(A,F,J) & r1_incsp_1(A,G,J) & r1_incsp_1(A,E,K) & r1_incsp_1(A,C,K) & r1_incsp_1(A,G,K) & r1_incsp_1(A,G,P) ) => ( r1_incsp_1(A,B,L) | r1_incsp_1(A,C,M) | r1_incsp_1(A,B,N) | r1_incsp_1(A,C,N) | r1_projred2(A,L,M,N) | r1_incsp_1(A,C,P) | L = P | r1_projred2(A,M,N,O) | H = B | r1_incsp_1(A,H,L) | r1_incsp_1(A,H,P) | k3_relat_1(k1_projred1(A,L,N,B),k1_projred1(A,N,M,C)) = k3_relat_1(k1_projred1(A,L,P,H),k1_projred1(A,P,M,C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m2_prvect_1(B,A) => ( k1_funct_6(B) = A & r1_tarski(k4_card_3(k2_funct_6(B)),k4_card_3(A)) ) ) ) )).
fof(t14_prvect_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ( ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => v3_lopban_1(k11_prvect_2(A,B)) ) => v3_lopban_1(k14_prvect_2(A)) ) ) )).
fof(t14_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = k10_finseq_1(D,E) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( C = k10_finseq_1(E,G) & D = k10_finseq_1(F,H) ) => k3_rlvect_1(k10_prvect_2(k10_finseq_1(A,B)),C,D) = k10_finseq_1(k3_rlvect_1(A,E,F),k3_rlvect_1(B,G,H)) ) ) ) ) ) ) ) & k4_struct_0(k10_prvect_2(k10_finseq_1(A,B))) = k10_finseq_1(k4_struct_0(A),k4_struct_0(B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( C = k10_finseq_1(D,E) => k4_algstr_0(k10_prvect_2(k10_finseq_1(A,B)),C) = k10_finseq_1(k4_algstr_0(A,D),k4_algstr_0(B,E)) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k10_prvect_2(k10_finseq_1(A,B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( v1_xreal_0(F) => ( C = k10_finseq_1(D,E) => k1_rlvect_1(k10_prvect_2(k10_finseq_1(A,B)),C,F) = k10_finseq_1(k1_rlvect_1(A,D,F),k1_rlvect_1(B,E,F)) ) ) ) ) ) ) ) ) )).
fof(t14_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) => v5_measure6(B,u1_struct_0(A)) ) ) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) => v6_measure6(B,u1_struct_0(A)) ) ) ) ) )).
fof(t14_pua2mss1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) ) => ( ( k3_card_3(B) = A & ! [C] : ! [D] : ( ( r2_tarski(C,k9_xtuple_0(B)) & r2_tarski(D,k9_xtuple_0(B)) ) => ( C = D | r1_xboole_0(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) => m2_pua2mss1(B,A) ) ) )).
fof(t14_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( m1_pythtrip(B) => ~ ( ~ v2_pythtrip(B) & v3_pythtrip(B) & r2_tarski(k2_nat_1(4,A),B) ) ) ) ) )).
fof(t14_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r6_pboole(A,k1_pzfmisc1(A,B),k2_pzfmisc1(A,C,D)) => ( r6_pboole(A,B,C) & r6_pboole(A,B,D) ) ) ) ) ) )).
fof(t14_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ~ ( v3_qc_lang1(B,A) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,B)),k3_finseq_1(k11_qc_lang1(A,k18_qc_lang1(A,B)))) ) ) ) )).
fof(t14_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( k6_qc_lang2(A,B,C,D) = k15_qc_lang1(A,B,k15_qc_lang1(A,C,D)) & k7_qc_lang2(A,B,C,D) = k5_qc_lang2(A,B,k5_qc_lang2(A,C,D)) ) ) ) ) ) )).
fof(t14_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k24_qc_lang1(A,k3_qc_lang2(A,B,C)) = k4_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,B),k24_qc_lang1(A,C)) ) ) ) )).
fof(t14_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ~ ( r2_xboole_0(C,D) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C))),k3_finseq_1(k11_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),D)))) ) ) ) ) ) )).
fof(t14_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_substut1(A)) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_substut1(B)) ) => ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( D = E & F = C ) => k13_substut1(A,D,F) = k13_substut1(B,E,C) ) ) ) ) ) ) ) )).
fof(t14_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => r2_qmax_1(g2_qmax_1(k8_eqrel_1(k5_qmax_1(A),k9_qmax_1(A)),k10_qmax_1(A),k11_qmax_1(A))) ) )).
fof(t14_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k1_quantal1(A,k1_quantal1(A,D,B),B) ) => v14_quantal1(C,A) ) ) ) ) )).
fof(t14_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => k22_quaterni(A,k2_quatern2) = A ) )).
fof(t14_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k3_xcmplx_0(2,k12_quaterni(A)) = k12_quaterni(k21_quaterni(A,k26_quaterni(A))) ) )).
fof(t14_quaterni,axiom,( k9_quaterni(k10_quaterni,k10_quaterni) = k4_xcmplx_0(1) )).
fof(t14_quin_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C) = k5_numbers => ( A = k5_numbers | k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,A),D),B)),k1_quin_1(A,B,C)) = k5_numbers ) ) ) ) ) ) )).
fof(t14_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( k9_quofield(A,B,k12_quofield(A)) = B & k9_quofield(A,k12_quofield(A),B) = B ) ) ) )).
fof(t14_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => r2_tarski(k5_numbers,k2_radix_1(A)) ) )).
fof(t14_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k5_radix_2(C,B,A) = k10_radix_1(C,B,A) ) ) ) )).
fof(t14_radix_3,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => r2_hidden(k5_radix_3(A,B),k3_radix_3(B)) ) ) ) )).
fof(t14_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(B)) ) => ! [E] : ( ( v3_card_1(E,A) & m2_finseq_1(E,k3_radix_1(B)) ) => ! [F] : ( ( v3_card_1(F,A) & m2_finseq_1(F,k3_radix_1(B)) ) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k2_finseq_1(A)) & ~ ( k4_radix_1(G,B,A,C) = k4_radix_1(G,B,A,E) & k4_radix_1(G,B,A,D) = k4_radix_1(G,B,A,F) ) & ~ ( k4_radix_1(G,B,A,D) = k4_radix_1(G,B,A,E) & k4_radix_1(G,B,A,C) = k4_radix_1(G,B,A,F) ) ) ) => k2_xcmplx_0(k8_radix_1(A,B,E),k8_radix_1(A,B,F)) = k2_xcmplx_0(k8_radix_1(A,B,C),k8_radix_1(A,B,D)) ) ) ) ) ) ) ) ) ) )).
fof(t14_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,2)) & m2_finseq_1(D,k3_radix_1(B)) ) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) & r1_radix_6(A,B,C) & ! [E] : ( v1_int_1(E) => ~ ( ~ r1_xxreal_0(k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,D)),k3_xcmplx_0(E,C)),k4_xcmplx_0(C)) & ~ r1_xxreal_0(C,k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k4_radix_6(A,B,D)),k3_xcmplx_0(E,C))) ) ) ) ) ) ) ) )).
fof(t14_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_group_10(C,A),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(C,A),B))) ) => ~ ( B != k5_numbers & ~ v1_finset_1(C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ~ ( ~ v1_finset_1(E) & v3_funct_1(k2_partfun1(k3_group_10(C,A),B,D,k3_group_10(E,A))) ) ) ) ) ) ) )).
fof(t14_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ~ ( v2_prob_1(B) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k8_nat_1(k9_setfam_1(A),B,C) != k8_nat_1(k9_setfam_1(A),B,D) ) ) ) ) ) )).
fof(t14_random_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( ( r1_tarski(C,D) & ! [E] : ( r2_tarski(E,D) => r1_xxreal_0(k5_numbers,k12_supinf_2(B,E)) ) ) => r1_xxreal_0(k5_bhsp_5(k1_numbers,A,k9_binop_2,C,B),k5_bhsp_5(k1_numbers,A,k9_binop_2,D,B)) ) ) ) ) ) )).
fof(t14_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,B) & v4_prob_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [E] : ( m2_prob_1(E,A,C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & v1_random_3(F,A,B,C,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [G] : ( r2_tarski(G,D) => k12_supinf_2(k2_random_3(A,B,C,D,E,F),G) = k12_supinf_2(E,k8_relset_1(A,B,F,G)) ) ) ) ) ) ) ) )).
fof(t14_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_ranknull(A,B,C,D))) => k1_funct_1(D,E) = k4_struct_0(C) ) ) ) ) ) )).
fof(t14_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( k2_rat_1(A) = k5_numbers <=> A = k5_numbers ) ) )).
fof(t14_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ratfunc1(A,B,C,D) => r1_polynom5(A,k8_polynom3(A,B,C),D) ) ) ) ) ) )).
fof(t14_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v1_rcomp_1(A) => ( A = k1_xboole_0 | ( r2_hidden(k2_seq_4(A),A) & r2_hidden(k3_seq_4(A),A) ) ) ) ) )).
fof(t14_rcomp_3,axiom,( ! [A] : ( ( v5_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ~ r2_hidden(k3_seq_4(A),A) => r1_tarski(A,k4_rcomp_1(k3_seq_4(A),k2_seq_4(A))) ) ) )).
fof(t14_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(A,B) & k8_nat_1(k4_ordinal1,k1_real_3(D,C),A) = k5_numbers ) => k8_nat_1(k4_ordinal1,k1_real_3(D,C),B) = k5_numbers ) ) ) ) ) )).
fof(t14_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k4_real_lat(A),k1_funcsdom(A,k1_numbers,k5_real_lat(A),C,B),B),B) ) ) ) )).
fof(t14_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_real_ns1(A))) => ( B = C => k1_square_1(k2_normsp_0(k4_real_ns1(A),B)) = k2_bhsp_1(k7_real_ns1(A),C,C) ) ) ) ) )).
fof(t14_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k8_group_1(A,k4_struct_0(A),B) = k4_struct_0(A) ) ) )).
fof(t14_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k1_realset3(A),k4_struct_0(A),B) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),k4_vectsp_1(A),B) ) ) )).
fof(t14_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [E] : ( ( v1_rearran1(E) & v2_rearran1(E) & v3_rearran1(E,k1_zfmisc_1(A)) & m2_finseq_1(E,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(D,B) & k4_card_1(A) = k4_card_1(B) ) => ( ( r2_tarski(C,k1_funct_1(E,1)) => k17_rfunct_3(A,k16_rfunct_3(A,k15_rfunct_3(A,E),k3_rfinseq(k20_rfunct_3(B,D,B))),C) = k3_rfinseq(k20_rfunct_3(B,D,B)) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r2_tarski(C,k6_subset_1(k1_funct_1(E,k1_nat_1(F,1)),k1_funct_1(E,F))) ) => ( r1_xxreal_0(k3_finseq_1(E),F) | k17_rfunct_3(A,k16_rfunct_3(A,k15_rfunct_3(A,E),k3_rfinseq(k20_rfunct_3(B,D,B))),C) = k7_finseq_1(k2_finseq_2(F,k5_numbers),k3_rfinseq(k2_rfinseq(k1_numbers,F,k20_rfunct_3(B,D,B)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => r1_tarski(k6_subset_1(k10_xtuple_0(A),k10_xtuple_0(B)),k10_xtuple_0(k6_subset_1(A,B))) ) ) )).
fof(t14_relset_1,axiom,( ! [A] : m1_subset_1(k4_relat_1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))) )).
fof(t14_relset_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( v1_relat_1(C) => k7_relat_1(C,k5_setfam_1(A,B)) = k3_tarski(a_3_0_relset_2(A,B,C)) ) ) )).
fof(t14_revrot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k3_finseq_1(k1_finseq_6(A,C,B)) = k3_finseq_1(C) ) ) ) )).
fof(t14_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) => ( r2_hidden(B,k1_relat_1(A)) | B = C ) ) ) )).
fof(t14_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ( r1_rewrite2(A,B,C,D) => ( r2_rewrite2(A,B,k1_flang_1(A,E,C),k1_flang_1(A,E,D)) & r2_rewrite2(A,B,k1_flang_1(A,C,E),k1_flang_1(A,D,E)) ) ) ) ) ) ) )).
fof(t14_rewrite3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( l1_rewrite3(C,B) => ( k9_xtuple_0(u1_rewrite3(B,C)) = k1_xboole_0 => v2_rewrite3(C,A,B) ) ) ) ) )).
fof(t14_rfinseq,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k3_rfinseq(k10_finseq_1(A,B)) = k10_finseq_1(k6_xcmplx_0(A,B),B) ) ) )).
fof(t14_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_classes1(A,B) => k3_rfinseq2(A) = k3_rfinseq2(B) ) ) ) )).
fof(t14_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k18_valued_1(k45_valued_1(A,B),C) = k45_valued_1(k18_valued_1(A,C),k18_valued_1(B,C)) ) ) ) )).
fof(t14_rfunct_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( v1_partfun1(C,B) => r2_relset_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,B,D,k26_valued_1(B,k1_numbers,C,A)),k26_valued_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,B,D,C),A)) ) ) ) ) ) )).
fof(t14_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_binop_1(k13_rfunct_3(A),k3_rfunct_3(A,k1_numbers)) ) )).
fof(t14_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( r1_rfunct_4(A,C) & r2_rfunct_3(B,C) ) => r1_rfunct_4(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) ) ) ) )).
fof(t14_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_seq_2(A) => k2_rinfsup1(A) = k4_xcmplx_0(k1_rinfsup1(k32_valued_1(k4_ordinal1,k1_numbers,A))) ) ) )).
fof(t14_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_funct_2(k4_ordinal1,k6_numbers,k4_ordinal1,k1_numbers,A,B) & v2_comseq_2(B) ) => ( v7_mesfunc5(A) & v10_mesfunc5(A) & k2_mesfunc5(A) = k1_seq_2(B) ) ) ) ) )).
fof(t14_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_ring_1(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_ring_1(A,B))) => ( ( E = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),C) & F = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),D) ) => k6_algstr_0(k2_ring_1(A,B),E,F) = k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k6_algstr_0(A,C,D)) ) ) ) ) ) ) ) )).
fof(t14_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) <=> ? [C] : ( ~ v2_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v3_ring_2(C,A) & l6_algstr_0(C) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & v13_vectsp_1(D,A,C) & v6_group_1(D,A,C) & v1_group_6(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) & k8_vectsp10(A,C,D) = B ) ) ) ) ) )).
fof(t14_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_ringcat1(C,A,B) => m4_ringcat1(k1_tarski(C),A,B) ) ) ) )).
fof(t14_rlaffin1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_rlvect_2(C,B) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => k4_finseqop(u1_struct_0(B),k1_numbers,D,k8_rlvect_2(B,A,C)) = k10_rvsum_1(k4_finseqop(u1_struct_0(B),k1_numbers,D,C),A) ) ) ) ) )).
fof(t14_rlaffin2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_rlaffin1(F,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( r2_tarski(C,F) & r2_tarski(D,k1_rlaffin2(B,F)) & r2_tarski(E,k3_convex1(B,k7_subset_1(u1_struct_0(B),F,k6_domain_1(u1_struct_0(B),C)))) & k3_rlvect_1(B,k1_rlvect_1(B,C,A),k1_rlvect_1(B,E,k6_xcmplx_0(1,A))) = D ) => r2_tarski(E,k1_rlaffin2(B,k7_subset_1(u1_struct_0(B),F,k6_domain_1(u1_struct_0(B),C)))) ) ) ) ) ) ) ) )).
fof(t14_rlaffin3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m2_rlaffin3(D,B,C) => ( m2_rlaffin3(k4_vfunct_1(k4_ordinal1,B,D,A),B,k1_convex1(B,C,A)) <=> ~ ( A = k5_numbers & ~ v1_zfmisc_1(C) ) ) ) ) ) ) )).
fof(t14_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_rlsub_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ( E = B => k1_rlvect_1(D,E,C) = k1_rlvect_1(A,B,C) ) ) ) ) ) ) )).
fof(t14_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => k2_rlsub_2(A,B,C) = k2_rlsub_2(A,C,B) ) ) ) )).
fof(t14_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( ~ v8_ordinal1(C) & v1_xreal_0(C) ) => ( r2_tarski(k4_struct_0(A),k1_convex1(A,B,C)) => r2_tarski(k4_struct_0(A),B) ) ) ) ) )).
fof(t14_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_algstr_0(A,k4_struct_0(A),B) = k4_algstr_0(A,B) ) ) )).
fof(t14_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_rlvect_2(A,k9_subset_1(u1_struct_0(A),C,B)) = k5_algstr_0(A,k3_rlvect_1(A,k2_rlvect_2(A,C),k2_rlvect_2(A,B)),k2_rlvect_2(A,k4_subset_1(u1_struct_0(A),C,B))) ) ) ) )).
fof(t14_rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r1_struct_0(k1_rlvect_3(B,C),A) <=> ? [D] : ( m2_rlvect_2(D,B,C) & A = k6_rlvect_2(B,D) ) ) ) ) )).
fof(t14_rlvect_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(k1_rlvect_3(B,k8_domain_1(u1_struct_0(B),C,D,E)),A) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & A = k3_rlvect_1(B,k3_rlvect_1(B,k1_rlvect_1(B,C,F),k1_rlvect_1(B,D,G)),k1_rlvect_1(B,E,H)) ) ) ) ) ) ) ) ) )).
fof(t14_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_rlvect_3(C,B) => ( v1_rlvect_3(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t14_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k2_rlvect_x(A,k4_subset_1(u1_struct_0(A),B,C)) = k7_rusub_4(A,k2_rlvect_x(A,B),k2_rlvect_x(A,C)) ) ) ) )).
fof(t14_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,A) & l1_vectsp_2(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_rmod_2(E,A,C) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ( F = D => k4_vectsp_2(A,E,B,F) = k4_vectsp_2(A,C,B,D) ) ) ) ) ) ) ) )).
fof(t14_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => k2_rmod_3(A,B,C,D) = k2_rmod_3(A,B,D,C) ) ) ) ) )).
fof(t14_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_rmod_4(A,B,k5_subset_1(u1_struct_0(B),D,C)) = k5_algstr_0(B,k1_rmod_4(A,B,k4_subset_1(u1_struct_0(B),D,C)),k1_rmod_4(A,B,k9_subset_1(u1_struct_0(B),D,C))) ) ) ) ) )).
fof(t14_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_robbins1(A,B,k6_lattices(A)) = B ) ) )).
fof(t14_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,B,C)) = k3_robbins1(A,k1_lattices(A,C,B)) ) ) ) )).
fof(t14_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & v8_lattices(A) ) => v8_lattices(B) ) ) ) )).
fof(t14_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_robbins4)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_robbins4)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_robbins4)) => ( ( A = C & B = D ) => ( k13_lattice3(k1_robbins4,A,B) = k3_lattices(k2_robbins4,C,D) & k12_lattice3(k1_robbins4,A,B) = k4_lattices(k2_robbins4,C,D) ) ) ) ) ) ) )).
fof(t14_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_roughs_1(A,B),k4_roughs_1(A,B)) ) ) )).
fof(t14_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k3_roughs_1(A,B),k3_roughs_1(A,C)) ) ) ) ) )).
fof(t14_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_isomichi(B,A) <=> r1_tarski(k4_roughs_1(A,B),k3_roughs_1(A,B)) ) ) ) )).
fof(t14_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v3_card_1(B,1) & m1_subset_1(B,k1_zfmisc_1(A)) ) => k1_rpr_1(A,B) = k7_xcmplx_0(1,k4_card_1(A)) ) ) )).
fof(t14_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_rsspace4(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k1_funct_1(k8_rsspace4(A,B),C) = k2_seq_4(k7_rsspace4(A,B,C)) ) ) ) )).
fof(t14_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_struct_0(B,C) & r1_struct_0(B,D) ) => r1_struct_0(B,k3_rlvect_1(A,C,D)) ) ) ) ) ) )).
fof(t14_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => k2_rusub_2(A,B,C) = k2_rusub_2(A,C,B) ) ) ) )).
fof(t14_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k1_rusub_3(A,B) = A & ! [C] : ( m1_rusub_3(C,A) => ~ r1_tarski(C,B) ) ) ) ) )).
fof(t14_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ( k1_rusub_4(A) = 2 <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & B != C & v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) & k2_rusub_1(A) = k1_rusub_3(A,k7_domain_1(u1_struct_0(A),B,C)) ) ) ) ) )).
fof(t14_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_rusub_4(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v2_rusub_4(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v3_rusub_4(C,A) & v3_rusub_4(D,A) & r1_rusub_5(A,B,C) & r1_rusub_5(A,B,D) ) => C = D ) ) ) ) ) )).
fof(t14_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k4_rvsum_1(k2_finseq_2(A,B),k2_finseq_2(A,C)) = k2_finseq_2(A,k2_xcmplx_0(B,C)) ) ) ) )).
fof(t14_rvsum_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k7_rvsum_2(k2_finseq_2(A,B),k2_finseq_2(A,C)) = k2_finseq_2(A,k6_xcmplx_0(B,C)) ) ) ) )).
fof(t14_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => k1_rvsum_3(A) = k2_rvsum_3(A) ) )).
fof(t14_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k5_afinsq_1(k2_compos_1(k1_ami_3)),A) => ! [B] : ( ( v5_memstr_0(B,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(B,k6_finseq_1(k4_numbers)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,B) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,B) = k5_numbers & k6_extpro_1(k5_card_1(2),k1_ami_3,A,B) = B ) ) ) ) )).
fof(t14_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A))) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),E)) ) ) ) ) ) ) ) )).
fof(t14_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(G,u1_struct_0(k1_scmfsa_2)) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(H,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_xxreal_0(D,C) & r1_tarski(F,A) & r1_tarski(F,B) & r1_tarski(k9_xtuple_0(E),k4_subset_1(u1_struct_0(k1_scmfsa_2),k2_scmfsa_2,k3_scmfsa_2)) & ! [I] : ( v7_ordinal1(I) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,G,I)),k9_xtuple_0(F)) & r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,H,I)),k9_xtuple_0(F)) ) ) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,G,D),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,H,D),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,G,D),k2_xboole_0(k2_xboole_0(k9_xtuple_0(E),k6_sf_mastr(F)),k3_sf_mastr(F))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,H,D),k2_xboole_0(k2_xboole_0(k9_xtuple_0(E),k6_sf_mastr(F)),k3_sf_mastr(F))) ) => ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,G,C),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,H,C),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,G,C),k2_xboole_0(k2_xboole_0(k9_xtuple_0(E),k6_sf_mastr(F)),k3_sf_mastr(F))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,H,C),k2_xboole_0(k2_xboole_0(k9_xtuple_0(E),k6_sf_mastr(F)),k3_sf_mastr(F))) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_scmfsa10,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k2_compos_0(k10_scmfsa_2(A,B)) = k1_xboole_0 ) ) )).
fof(t14_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A) & r1_tarski(k1_scmfsa6a(C),B) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A),1))) ) ) ) ) )).
fof(t14_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( m1_scmfsa_2(D) => ~ ( A != B & r3_scmfsa7b(k14_scmfsa_2(B,C,D),A) ) ) ) ) ) )).
fof(t14_scmfsa8a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( r2_tarski(C,k2_afinsq_1(A)) => k1_funct_1(k2_scmfsa6a(A,B),C) = k1_funct_1(k1_scmfsa6a(A),C) ) ) ) )).
fof(t14_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(B,E) = k5_numbers & r5_scmfsa7b(C,k1_scmfsa_m(B),A) ) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A),k1_funct_4(k1_scmfsa6b(C,B,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),3)))) ) ) ) ) ) ) )).
fof(t14_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k4_compos_1(k1_scmfsa_2),B,A),k1_scmfsa_m(B)) ) ) )).
fof(t14_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_scmfsa9a(A,B,C,D) & r2_scmfsa9a(A,B,C,D) ) => r5_scmfsa7b(k3_scmfsa_x(C,D),B,A) ) ) ) ) ) )).
fof(t14_scmfsa_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmfsa_2)) ) => ! [J] : ( m1_scmfsa_2(J) => ( ( k3_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)) = k15_scmfsa_2(H,I,J) & r2_tarski(J,k9_xtuple_0(B)) ) => ! [K] : ( v7_ordinal1(K) => ! [L] : ( v7_ordinal1(L) => ( ( K = k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),I)) & L = k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),I)) ) => k1_funct_7(k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),J),K,k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),H)) = k1_funct_7(k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),J),L,k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ~ r2_tarski(k2_scmfsa_m(A),A) ) )).
fof(t14_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k1_nat_1(k4_card_1(B),5),C) => r2_tarski(C,k2_afinsq_1(k3_scmfsa_x(A,B))) ) ) ) ) )).
fof(t14_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),E)) = k5_numbers & r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,B)),k1_scmfsa_m(D),F)) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),E),k4_scmfsa_2(k5_numbers)) = 1 ) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),E),k1_scmfsa_m(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),E))) & r8_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(E,1)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k4_scmfsa_x(C,B)),k1_scmfsa_m(D),k1_nat_1(F,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,k4_scmfsa_x(C,B)),B),k1_scmfsa_m(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),E))),2)))) ) ) ) ) ) ) ) ) )).
fof(t14_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( r1_tarski(k4_scmp_gcd,A) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( ( k1_funct_1(B,k1_scmp_gcd(9)) = C & k1_funct_1(B,k1_scmp_gcd(10)) = D & r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(k5_numbers,D) ) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_scmpds_2,A,B),k1_scmp_gcd(9)) = k3_int_2(C,D) ) ) ) ) ) ) )).
fof(t14_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k5_scmpds_2(B,A)) = 2 ) ) )).
fof(t14_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(D) & v4_extpro_1(D,k5_card_1(2),k1_scmpds_2,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_tarski(D,E) & r1_tarski(D,F) & r1_tarski(C,A) & r1_tarski(C,B) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v1_int_1(H) => ! [I] : ( v1_int_1(I) => ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ! [K] : ( ( v1_ami_2(K) & m1_subset_1(K,u1_struct_0(k1_scmpds_2)) ) => ( ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) = k14_scmpds_2(J,K,H,I) & r2_tarski(J,k9_xtuple_0(D)) & r2_tarski(k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),J),H),k9_xtuple_0(D)) ) => k3_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),J),H)),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),K),I))) = k3_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),J),H)),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),K),I))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k1_scmpds_4(k2_scmpds_4(A,B),C) = k2_scmpds_4(A,k1_scmpds_4(B,C)) ) ) ) )).
fof(t14_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k1_funct_4(k10_compos_1(k1_scmpds_2,A),k10_compos_1(k1_scmpds_2,k1_scmpds_4(A,B))) = k10_compos_1(k1_scmpds_2,k1_scmpds_4(A,B)) ) ) )).
fof(t14_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => k1_funct_1(k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),D) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B))),D) ) ) ) ) )).
fof(t14_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_recdef_1(G,H) = k5_numbers => r1_xxreal_0(k5_numbers,k1_funct_1(H,k2_scmpds_2(k1_funct_1(B,D),E))) ) ) & ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,u1_struct_0(k1_scmpds_2)) & v1_funct_1(H) & v5_funct_1(H,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(H,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(H,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k4_ordinal1) & v5_relat_1(I,u1_compos_1(k1_scmpds_2)) & v1_funct_1(I) & v1_partfun1(I,k4_ordinal1) ) => ( ( ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(J,F) => k1_funct_1(H,J) = k1_funct_1(B,J) ) ) & k1_funct_1(H,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(H,k2_scmpds_2(k1_funct_1(B,D),E))) | ( k1_funct_1(k6_scmpds_4(C,H,I),D) = k1_funct_1(H,D) & r1_scmpds_6(C,H,I) & r2_scmpds_6(C,H,I) & ~ r1_xxreal_0(k1_recdef_1(G,H),k1_recdef_1(G,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,H,I)))) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(J,F) => k1_funct_1(k6_scmpds_4(C,H,I),J) = k1_funct_1(H,J) ) ) ) ) ) ) ) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) | k6_scmpds_4(k1_scmpds_8(D,E,C),B,A) = k6_scmpds_4(k1_scmpds_8(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) ) ) ) ) ) ) )).
fof(t14_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,B,k7_scmpds_2(A,C,D)) = k2_tarski(k1_nat_1(B,1),k1_int_2(k2_xcmplx_0(D,B))) ) ) ) ) )).
fof(t14_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(D,u1_struct_0(k1_scmring2(A))) ) => ( k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k6_scmring2(A,B,C),D),k4_struct_0(k1_scmring2(A))) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(A),D),1) & k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k6_scmring2(A,B,C),D),B) = k6_algstr_0(A,k2_scmring2(A,D,B),k2_scmring2(A,D,C)) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmring2(A))) ) => ( E != B => k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k6_scmring2(A,B,C),D),E) = k2_scmring2(A,D,E) ) ) ) ) ) ) ) )).
fof(t14_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = 2 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmring2(A))) ) => B != k4_scmring2(A,C,D) ) ) ) ) ) )).
fof(t14_scmyciel,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k1_scmyciel(A),k1_scmyciel(B)) ) )).
fof(t14_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E)) = k5_numbers => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k3_scpinvar(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A)) = k1_nat_1(k4_card_1(C),3) ) ) ) ) ) ) )).
fof(t14_scpisort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k4_card_1(k1_scpisort(A,B)) = 23 ) ) )).
fof(t14_scpqsort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(7,A) => v2_scmpds_4(k2_scpqsort(B,A)) ) ) ) )).
fof(t14_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r2_analoaf(A,B,C,B,D) => ( ~ r2_analoaf(A,B,C,D,B) & ~ r2_analoaf(A,C,B,B,D) & ~ r2_analoaf(A,C,B,D,B) & ~ r2_analoaf(A,B,D,B,C) & ~ r2_analoaf(A,B,D,C,B) & ~ r2_analoaf(A,D,B,B,C) & ~ r2_analoaf(A,D,B,C,B) & ~ r2_analoaf(A,C,B,C,D) & ~ r2_analoaf(A,C,B,D,C) & ~ r2_analoaf(A,B,C,C,D) & ~ r2_analoaf(A,B,C,D,C) & ~ r2_analoaf(A,C,D,C,B) & ~ r2_analoaf(A,C,D,B,C) & ~ r2_analoaf(A,D,C,B,C) & ~ r2_analoaf(A,D,C,C,B) & ~ r2_analoaf(A,D,C,D,B) & ~ r2_analoaf(A,D,C,B,D) & ~ r2_analoaf(A,C,D,D,B) & ~ r2_analoaf(A,C,D,B,D) & ~ r2_analoaf(A,D,B,D,C) & ~ r2_analoaf(A,D,B,C,D) & ~ r2_analoaf(A,B,D,C,D) & ~ r2_analoaf(A,B,D,D,C) ) ) ) ) ) ) )).
fof(t14_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),C),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C))) ) ) ) )).
fof(t14_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) ) => v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t14_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) => k1_seq_2(k56_valued_1(k4_ordinal1,k1_numbers,A)) = k9_complex1(k1_seq_2(A)) ) ) )).
fof(t14_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( B != k5_numbers => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k3_seqfunc(A,k2_seqfunc(A,C,B)),k2_seqfunc(A,k3_seqfunc(A,C),k5_xcmplx_0(B))) ) ) ) ) )).
fof(t14_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & v5_valued_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(B,k8_nat_1(k4_ordinal1,A,B)) ) ) )).
fof(t14_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,B,C)) ) => ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(A),C),k8_nat_1(k1_numbers,k3_series_1(B),C)) ) ) ) ) )).
fof(t14_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( k8_nat_1(k1_numbers,A,B) = k1_newton(k6_xcmplx_0(k3_xcmplx_0(2,B),1),2) & k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(B,k6_xcmplx_0(k3_xcmplx_0(4,k1_newton(B,2)),1)),3) ) ) ) ) )).
fof(t14_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(B,A),k7_xcmplx_0(C,B)),k7_xcmplx_0(A,C)),k2_xcmplx_0(k2_xcmplx_0(k1_newton(k7_xcmplx_0(A,B),3),k1_newton(k7_xcmplx_0(B,C),3)),k1_newton(k7_xcmplx_0(C,A),3))) ) ) ) )).
fof(t14_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k3_xcmplx_0(C,k1_newton(k7_xcmplx_0(1,2),C)) ) => k8_nat_1(k1_numbers,k3_series_1(B),A) = k6_xcmplx_0(2,k3_xcmplx_0(k2_xcmplx_0(2,A),k1_newton(k7_xcmplx_0(1,2),A))) ) ) ) )).
fof(t14_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k7_xcmplx_0(k9_complex1(k2_xcmplx_0(A,B)),k2_xcmplx_0(1,k9_complex1(k2_xcmplx_0(A,B)))),k2_xcmplx_0(k7_xcmplx_0(k9_complex1(A),k2_xcmplx_0(1,k9_complex1(A))),k7_xcmplx_0(k9_complex1(B),k2_xcmplx_0(1,k9_complex1(B))))) ) ) )).
fof(t14_setfam_1,axiom,( ! [A] : ! [B] : ( r2_setfam_1(A,B) => ( B = k1_xboole_0 | r1_tarski(k1_setfam_1(A),k1_setfam_1(B)) ) ) )).
fof(t14_setlim_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( v3_funct_1(C) & k3_funct_1(C) = B ) => ! [D] : ( v7_ordinal1(D) => k1_setfam_1(a_3_3_setlim_1(A,C,D)) = B ) ) ) ) )).
fof(t14_setlim_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r1_tarski(k3_prob_1(A,k3_setlim_2(A,B,C)),k7_subset_1(A,k3_prob_1(A,B),k3_prob_1(A,C))) ) ) )).
fof(t14_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_setwiseo(B,A) <=> r3_binop_1(A,k3_binop_1(A,B),B) ) ) ) )).
fof(t14_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(E,B) & v2_binop_1(E,B) & v1_setwiseo(E,B) & v1_finseqop(E,B) & r6_binop_1(B,F,E) ) => k4_binop_1(B,F,D,k7_setwiseo(A,B,E,C,G)) = k7_setwiseo(A,B,E,C,k10_funcop_1(B,A,F,D,G)) ) ) ) ) ) ) ) ) )).
fof(t14_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( ~ ( C != k6_scmfsa_2(A,B) & C != k7_scmfsa_2(A,B) & C != k8_scmfsa_2(A,B) & C != k9_scmfsa_2(A,B) & C != k10_scmfsa_2(A,B) ) => k1_sf_mastr(C) = k5_scmfsa_m(A,B) ) ) ) ) )).
fof(t14_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v4_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_sfmastr1(C) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( v6_amistd_1(E,k5_card_1(3),k1_scmfsa_2) | r5_scmfsa7b(E,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa_m(B)),A) ) => k1_funct_1(k1_scmfsa6b(k3_scmfsa6a(C,E),B,A),D) = k1_funct_1(k1_scmfsa6b(E,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa_m(B)),A),D) ) ) ) ) ) ) )).
fof(t14_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) & v3_compos_1(F,k1_scmfsa_2) & v4_compos_1(F,k1_scmfsa_2) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( r2_tarski(E,k3_sf_mastr(F)) => ( B = E | k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(G,B,C,D,F,A),k5_numbers),E) = k1_funct_1(A,E) ) ) ) ) ) ) ) ) ) )).
fof(t14_sgraph1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ v1_xboole_0(k2_sgraph1(A)) ) )).
fof(t14_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => v13_lattices(A) ) )).
fof(t14_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)) = k5_sheffer1(A,C,B) ) ) ) )).
fof(t14_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) <=> r1_tarski(B,u1_pre_topc(A)) ) ) ) )).
fof(t14_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_simplex0(B,u1_struct_0(A)) => ! [C] : ( m1_simplex1(C,A,B) => ! [D] : ( m1_simplex1(D,A,C) => m1_simplex1(D,A,B) ) ) ) ) )).
fof(t14_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v9_rltopsp1(B,k15_euclid(A)) <=> v9_rltopsp1(k3_convex1(k15_euclid(A),B),k15_euclid(A)) ) ) ) )).
fof(t14_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v7_ordinal1(C) => k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k2_xcmplx_0(B,A))),C) = k8_nat_1(k2_numbers,k10_comseq_3(k10_sin_cos(C,B,A)),C) ) ) ) )).
fof(t14_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ( k6_xcmplx_0(k1_square_1(k1_funct_1(k3_sin_cos2,A)),k1_square_1(k1_funct_1(k1_sin_cos2,A))) = 1 & k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k3_sin_cos2,A)),k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k1_sin_cos2,A))) = 1 ) ) )).
fof(t14_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k10_funct_2(k2_numbers,k2_numbers,k4_sin_cos3,k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k7_partfun1(k2_numbers,k4_sin_cos3,A),k7_partfun1(k2_numbers,k4_sin_cos3,B)),k3_xcmplx_0(k7_partfun1(k2_numbers,k3_sin_cos3,A),k7_partfun1(k2_numbers,k3_sin_cos3,B))) ) ) )).
fof(t14_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( k17_sin_cos(A) != k5_numbers & k17_sin_cos(B) != k5_numbers & k17_sin_cos(C) != k5_numbers & k2_sin_cos4(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) != k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_sin_cos4(A),k2_sin_cos4(B)),k2_sin_cos4(C)),k2_sin_cos4(A)),k2_sin_cos4(B)),k2_sin_cos4(C)),k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_sin_cos4(B),k2_sin_cos4(C)),k3_xcmplx_0(k2_sin_cos4(C),k2_sin_cos4(A))),k3_xcmplx_0(k2_sin_cos4(A),k2_sin_cos4(B))),1)) ) ) ) ) )).
fof(t14_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ( k17_sin_cos(A) != k5_numbers => k1_square_1(k3_sin_cos4(A)) = k2_xcmplx_0(1,k1_square_1(k2_sin_cos4(A))) ) ) )).
fof(t14_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( ~ r1_xxreal_0(A,k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) & ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(k5_numbers,k19_sin_cos(A)) ) ) ) )).
fof(t14_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(1,k1_square_1(A)) & r1_xxreal_0(1,k1_square_1(k7_xcmplx_0(k3_xcmplx_0(2,A),k2_xcmplx_0(1,k1_square_1(A))))) ) ) )).
fof(t14_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k7_xcmplx_0(k2_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)),k6_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B))) = k3_xcmplx_0(k6_sin_cos2(k7_xcmplx_0(k2_xcmplx_0(A,B),2)),k1_sin_cos5(k7_xcmplx_0(k6_xcmplx_0(A,B),2))) ) ) )).
fof(t14_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k2_rcomp_1(k5_numbers,k28_sin_cos)) => k1_funct_1(k27_sin_cos,A) = k2_sin_cos4(A) ) ) )).
fof(t14_sincos10,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(t14_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( k17_euclid(A) != k17_euclid(B) & k18_euclid(A) != k18_euclid(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,B)) & k17_euclid(C) != k17_euclid(A) & k17_euclid(C) != k17_euclid(B) & k18_euclid(C) != k18_euclid(A) & k18_euclid(C) != k18_euclid(B) ) ) ) ) ) )).
fof(t14_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k3_topreal1(2,A)) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r2_tarski(B,k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)))) ) ) ) ) ) )).
fof(t14_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(k23_pscomp_1(A),A) & r2_tarski(k22_pscomp_1(A),A) ) ) )).
fof(t14_sprect_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) & r1_xxreal_0(B,k3_finseq_1(C)) ) => k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),C,A,B)) = k3_tarski(a_3_0_sprect_2(A,B,C)) ) ) ) ) )).
fof(t14_sprect_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => r1_tarski(k1_rltopsp1(k15_euclid(2),k11_pscomp_1(A),k12_pscomp_1(A)),k3_topreal1(2,k1_sprect_1(A))) ) )).
fof(t14_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k24_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t14_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(k1_square_1(A),A) ) ) )).
fof(t14_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_eqrel_1(D,k3_tarski(C)) & ! [E] : ( m1_subset_1(E,C) => E = k3_tarski(a_5_0_srings_1(A,B,C,D,E)) ) ) ) ) )).
fof(t14_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( ( r2_stacks_1(A,B,C) & r1_stacks_1(A,B) ) => r1_stacks_1(A,C) ) ) ) ) )).
fof(t14_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) => ( r1_tarski(B,k5_card_1(A)) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k3_nat_1(B),k6_xcmplx_0(A,1)) ) ) ) ) )).
fof(t14_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m1_subset_1(E,k1_substut1(A)) => k2_sublemma(A,k4_sublemma(B,A,C,D,E)) = k4_cqc_lang(B,A,C,D) ) ) ) ) ) )).
fof(t14_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k3_subset_1(A,k7_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),C) ) ) )).
fof(t14_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k4_partfun1(A,B))) => ( r1_tarski(C,D) => r1_tarski(k4_substlat(A,B,C,E),k4_substlat(A,B,D,E)) ) ) ) ) )).
fof(t14_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) => ! [C] : ( m1_substut1(C,A,B) => ( v3_substut1(B,A) => v7_substut1(k24_substut1(A,B,C),A) ) ) ) ) )).
fof(t14_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,B) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ( k4_substut2(A,k4_cqc_lang(B,A,E,F),C,D) = k4_cqc_lang(B,A,E,k3_substut1(A,F,k3_substut2(A,C,D))) & k7_cqc_sim1(A,k4_cqc_lang(B,A,E,F)) = k7_cqc_sim1(A,k4_substut2(A,k4_cqc_lang(B,A,E,F),C,D)) ) ) ) ) ) ) ) )).
fof(t14_supinf_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => k7_supinf_2(k6_supinf_2(A)) = k2_supinf_2(k8_supinf_2(A)) ) )).
fof(t14_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => r1_orders_2(B,k5_algstr_0(B,E,k3_vectsp_1(A,B,k1_symsp_1(A,B,C,D,E),D)),C) ) ) ) ) ) ) )).
fof(t14_sysrel,axiom,( ! [A] : ! [B] : ( k4_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k4_relat_1(A),k4_relat_1(B)) & k4_relat_1(k3_xboole_0(A,B)) = k3_xboole_0(k4_relat_1(A),k4_relat_1(B)) & k4_relat_1(k6_subset_1(A,B)) = k6_subset_1(k4_relat_1(A),k4_relat_1(B)) ) )).
fof(t14_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ( B = k2_tarski(k1_tarski(A),k10_eqrel_1(A)) => m1_taxonom1(B,A) ) ) ) )).
fof(t14_taxonom2,axiom,( ! [A] : ! [B] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_taxonom2(B,A) ) => ! [C] : ( ( v4_taxonom2(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r1_tarski(C,B) & ! [D] : ( ( v4_taxonom2(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r1_tarski(D,B) & r1_tarski(k5_setfam_1(A,C),k5_setfam_1(A,D)) ) => C = D ) ) ) => m1_eqrel_1(C,A) ) ) ) )).
fof(t14_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k23_sin_cos(k3_power(k4_power,A)) = A ) ) )).
fof(t14_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(E,k2_rcomp_1(k4_xcmplx_0(A),A)) & r1_xxreal_0(B,k9_complex1(k6_xcmplx_0(k1_funct_1(k22_sin_cos,E),k8_nat_1(k1_numbers,k3_series_1(k1_taylor_2(k22_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),E)),D)))) ) ) ) ) ) ) )).
fof(t14_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v6_tbsp_1(B,A) & r1_tarski(C,B) ) => v6_tbsp_1(C,A) ) ) ) ) )).
fof(t14_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_tdgroup(A,B,C,D,E) => r1_tdgroup(A,B,D,C,E) ) ) ) ) ) ) )).
fof(t14_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v4_tops_1(k1_struct_0(A),A) ) )).
fof(t14_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k2_pre_topc(A,k6_setfam_1(u1_struct_0(A),B)),k6_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B))) ) ) )).
fof(t14_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( k9_setfam_1(u1_struct_0(A)) = k2_tarski(k1_xboole_0,u1_struct_0(A)) => ( v1_tdlat_3(A) & v2_tdlat_3(A) ) ) ) )).
fof(t14_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r1_termord(A,B,C,k2_termord(A,B,C,D)) & r1_termord(A,B,D,k2_termord(A,B,C,D)) ) ) ) ) ) )).
fof(t14_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B != k1_xboole_0 => v1_tops_1(B,A) ) ) => v2_tdlat_3(A) ) ) )).
fof(t14_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v3_tdlat_3(A) ) => v3_tdlat_3(B) ) ) ) )).
fof(t14_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_tex_3(C,B) & m1_pre_topc(C,B) ) => ( ~ v2_struct_0(C) & v1_tex_3(C,A) & m1_pre_topc(C,A) ) ) ) ) )).
fof(t14_tex_4,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & C = D & v3_tex_4(C,A) ) => v3_tex_4(D,B) ) ) ) ) ) )).
fof(t14_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ( ( r1_tsep_1(C,D) | r2_funct_2(u1_struct_0(k2_tsep_1(A,C,D)),u1_struct_0(B),k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E),k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)) ) => ( ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(C))) => k7_relset_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F),G) = k7_relset_1(u1_struct_0(C),u1_struct_0(B),E,G) ) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(D))) => k7_relset_1(u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B),k10_tmap_1(A,B,C,D,E,F),G) = k7_relset_1(u1_struct_0(D),u1_struct_0(B),F,G) ) ) ) ) ) ) ) ) ) )).
fof(t14_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,C) => r1_tarski(k3_tietze_2(A,B,k2_finseq_2(A,C)),k2_tietze_2(A,B,D)) ) ) ) ) ) )).
fof(t14_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) => ~ ( v3_pre_topc(E,B) & r2_tarski(D,E) & v3_pre_topc(F,C) & r2_tarski(D,F) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C)))) => ~ ( v3_pre_topc(G,k1_tsep_1(A,B,C)) & r2_tarski(D,G) & r1_tarski(G,k2_xboole_0(E,F)) ) ) ) ) ) ) ) ) ) )).
fof(t14_toler_1,axiom,( v1_relat_2(k1_xboole_0) & v3_relat_2(k1_xboole_0) & v1_partfun1(k1_xboole_0,k1_xboole_0) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,k1_xboole_0))) )).
fof(t14_topalg_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(E))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(E))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k14_euclid(E))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k14_euclid(E))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k14_euclid(E))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k14_euclid(E))) => ! [L] : ( m1_subset_1(L,u1_struct_0(k15_euclid(E))) => ! [M] : ( m1_subset_1(M,u1_struct_0(k15_euclid(E))) => ! [N] : ( m1_subset_1(N,u1_struct_0(k15_euclid(E))) => ! [O] : ( m1_subset_1(O,u1_struct_0(k15_euclid(E))) => ~ ( F = L & G = M & H = N & I = O & J = k3_rlvect_1(k15_euclid(E),k1_rlvect_1(k15_euclid(E),L,C),k1_rlvect_1(k15_euclid(E),N,D)) & K = k3_rlvect_1(k15_euclid(E),k1_rlvect_1(k15_euclid(E),M,C),k1_rlvect_1(k15_euclid(E),O,D)) & ~ r1_xxreal_0(A,k3_metric_1(k14_euclid(E),F,G)) & ~ r1_xxreal_0(B,k3_metric_1(k14_euclid(E),H,I)) & C != k5_numbers & D != k5_numbers & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k9_complex1(C),A),k3_xcmplx_0(k9_complex1(D),B)),k3_metric_1(k14_euclid(E),J,K)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_topalg_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_topmetr(A,B))) => ! [E] : ( m1_borsuk_2(E,k4_topmetr(A,B),C,D) => ! [F] : ( m1_borsuk_2(F,k4_topmetr(A,B),C,D) => r3_borsuk_2(k4_topmetr(A,B),C,D,E,F) ) ) ) ) ) ) ) )).
fof(t14_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => k2_pre_topc(k2_borsuk_1(A,B),k3_borsuk_1(A,B,C,D)) = k3_borsuk_1(A,B,k2_pre_topc(A,C),k2_pre_topc(B,D)) ) ) ) ) )).
fof(t14_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => m1_borsuk_2(k4_topalg_4(A,B,k5_topmetr,G),B,E,F) ) ) ) ) ) ) ) ) )).
fof(t14_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) ) => ( v1_connsp_2(A) => v1_connsp_2(B) ) ) ) )).
fof(t14_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r1_mfold_2(A,B) & v2_topalg_6(A) ) => v2_topalg_6(B) ) ) ) )).
fof(t14_topdim_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_topdim_1(k1_compts_1(A)) = k5_numbers ) )).
fof(t14_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v5_waybel23(k1_pre_topc(B,C)) => ( ( v1_topdim_1(C,B) & r1_xxreal_0(k2_topdim_1(B,C),A) ) <=> ? [D] : ( v1_tops_2(D,B) & v1_cantor_1(D,B) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(E,D) => ( v1_topdim_1(k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,E)),B) & r1_xxreal_0(k2_topdim_1(B,k9_subset_1(u1_struct_0(B),C,k2_tops_1(B,E))),k3_xxreal_3(A,1)) ) ) ) ) ) ) ) ) ) )).
fof(t14_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v4_pre_topc(B,A) ) <=> k2_tops_1(A,B) = k1_xboole_0 ) ) ) )).
fof(t14_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => k2_waybel23(A) = k1_card_1(u1_struct_0(A)) ) )).
fof(t14_topgen_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_pre_topc(k3_limfunc1(A),k2_topgen_3) & m1_subset_1(k3_limfunc1(A),k1_zfmisc_1(u1_struct_0(k2_topgen_3))) ) ) )).
fof(t14_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( ( v2_topgen_4(B,A) & v1_prob_1(B,u1_struct_0(A)) ) => ( v1_topgen_4(B,A) & v1_prob_1(B,u1_struct_0(A)) ) ) & ( ( v1_topgen_4(B,A) & v1_prob_1(B,u1_struct_0(A)) ) => ( v2_topgen_4(B,A) & v1_prob_1(B,u1_struct_0(A)) ) ) ) ) ) )).
fof(t14_topgen_5,axiom,( ! [A] : ! [B] : ( r2_tarski(k10_finseq_1(A,B),k1_topgen_5) <=> ( r2_tarski(A,k1_numbers) & B = k5_numbers ) ) )).
fof(t14_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k2_funct_2(u1_struct_0(A),k3_group_1(A)),k3_group_1(A)) ) )).
fof(t14_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) => ( D = k8_metric_1(B,C,A) => v3_pre_topc(D,k3_pcomps_1(B)) ) ) ) ) ) )).
fof(t14_topmetr3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( ( r1_topreal1(k15_euclid(A),B,C,D) & r1_topreal1(k15_euclid(A),C,B,E) & r1_tarski(E,D) ) => E = D ) ) ) ) ) ) )).
fof(t14_topreal1,axiom,( k1_topreal1 = a_0_4_topreal1 )).
fof(t14_topreal3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(A) = k17_euclid(B) => ( k18_euclid(A) = k18_euclid(B) | r2_tarski(k19_euclid(k17_euclid(A),k7_xcmplx_0(k2_xcmplx_0(k18_euclid(A),k18_euclid(B)),2)),k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) ) )).
fof(t14_topreal4,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)) = k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)) & B = k3_finseq_4(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)),k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))),2),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1))),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)) ) => ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,2) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) | ( v4_topreal1(B) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,2) & r1_topreal4(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)) & r1_tarski(k3_topreal1(2,B),k3_topreal1(2,A)) & k3_topreal1(2,B) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),1,A)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & k3_topreal1(2,B) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),2,A)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) ) ) ) ) ) )).
fof(t14_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_topreal2(A) => ! [B] : ( v1_xreal_0(B) => ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & r2_tarski(C,A) & k18_euclid(C) != B ) ) ) ) )).
fof(t14_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(B,A)),k9_complex1(k6_xcmplx_0(D,C))) = k2_xcmplx_0(k6_xcmplx_0(B,A),k6_xcmplx_0(D,C)) ) ) ) ) ) )).
fof(t14_topreal7,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) ) => k12_rvsum_1(k8_rvsum_1(k8_finseq_1(k1_numbers,A,B),k8_finseq_1(k1_numbers,C,D))) = k8_finseq_1(k1_numbers,k12_rvsum_1(k8_rvsum_1(A,C)),k12_rvsum_1(k8_rvsum_1(B,D))) ) ) ) ) ) )).
fof(t14_topreal8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ( r1_xxreal_0(A,k3_finseq_1(C)) => k2_graph_2(B,C,1,A) = k17_finseq_1(B,A,C) ) ) ) )).
fof(t14_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( C = D => k9_metric_1(k14_euclid(A),D,B) = k2_topreal9(A,C,B) ) ) ) ) ) )).
fof(t14_topreala,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) ) => ( v1_t_0topsp(C,A,B) <=> v5_pre_topc(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) ) )).
fof(t14_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) & k17_euclid(A) = 1 ) => k18_euclid(A) = k5_numbers ) ) )).
fof(t14_toprealc,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => k1_funct_7(k16_euclid(B),A,k5_numbers) = k16_euclid(B) ) )).
fof(t14_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k2_toprns_1(B,A,k4_toprns_1(A,C,D)) = k4_toprns_1(A,k2_toprns_1(B,A,C),k2_toprns_1(B,A,D)) ) ) ) ) )).
fof(t14_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => k2_pre_topc(A,k9_subset_1(u1_struct_0(A),B,k2_pre_topc(A,C))) = k2_pre_topc(A,k9_subset_1(u1_struct_0(A),B,C)) ) ) ) ) )).
fof(t14_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) => v1_tops_2(k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(t14_tops_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tops_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(C,A) => k1_tops_1(A,C) = k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,B)) ) ) ) ) ) )).
fof(t14_tops_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A))))) ) => ( v1_t_0topsp(B,k3_topmetr,k15_euclid(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k3_topmetr)) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ? [E] : ( v1_xreal_0(E) & v2_xxreal_0(E) & r1_tarski(k1_topreal9(A,k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A)),B,C),E),k7_relset_1(u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A)),B,k2_rcomp_1(k6_xcmplx_0(C,D),k2_xcmplx_0(C,D)))) ) ) ) ) ) ) )).
fof(t14_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( ( r8_relat_2(D,k2_zfmisc_1(A,A)) & r1_transgeo(A,B,D) & r1_transgeo(A,C,D) ) => r1_transgeo(A,k1_transgeo(A,C,B),D) ) ) ) ) ) )).
fof(t14_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( v11_aff_2(A) & v1_translac(A) & v7_transgeo(C,A) & v7_transgeo(D,A) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),B,k1_transgeo(u1_struct_0(A),C,C)) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),B,k1_transgeo(u1_struct_0(A),D,D)) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(t14_treal_1,axiom,( r2_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),k4_treal_1(k5_numbers,1,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1)),k3_struct_0(k4_topmetr(k5_numbers,1))) )).
fof(t14_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(k7_finseq_1(B,C),k1_trees_1(A)) => r2_tarski(B,k1_trees_1(A)) ) ) ) ) )).
fof(t14_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => A = k3_tarski(a_1_0_trees_2(A)) ) )).
fof(t14_trees_3,axiom,( ! [A] : ( v3_trees_3(k1_tarski(A)) <=> ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) ) )).
fof(t14_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => k9_xtuple_0(k6_trees_4(A,B,C)) = k13_trees_3(k9_xtuple_0(B),k9_xtuple_0(C)) ) ) )).
fof(t14_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( r2_tarski(A,k6_trees_9(B)) <=> ? [C] : ( m1_trees_1(C,k9_xtuple_0(B)) & A = k4_tarski(C,k5_trees_2(B,C)) ) ) ) )).
fof(t14_trees_a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( m4_trees_1(C,k9_xtuple_0(A)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k9_xtuple_0(k3_trees_a(A,C,B))) & r2_tarski(D,a_3_1_trees_a(A,B,C)) & ! [E] : ( m1_trees_1(E,k9_xtuple_0(A)) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(B)) => ~ ( D = k8_finseq_1(k4_ordinal1,E,F) & r2_tarski(E,C) & k1_funct_1(k3_trees_a(A,C,B),D) = k1_funct_1(B,F) ) ) ) ) ) ) ) ) )).
fof(t14_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => ( ~ v2_struct_0(B) & v1_borsuk_1(B,C) & m1_pre_topc(B,C) ) ) ) ) ) )).
fof(t14_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tsep_2(A,B,C) & r2_tsep_2(A,D,E) ) => r2_tsep_2(A,k4_subset_1(u1_struct_0(A),B,D),k9_subset_1(u1_struct_0(A),C,E)) ) ) ) ) ) ) )).
fof(t14_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_pre_topc(C) & m1_pre_topc(C,A) ) => ( m1_pre_topc(B,C) => v6_pre_topc(B) ) ) ) ) )).
fof(t14_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( D = C => ( v3_pre_topc(D,B) <=> ( v3_pre_topc(k3_tex_4(A,C),A) & D = k8_subset_1(u1_struct_0(A),k3_tex_4(A,C),u1_struct_0(B)) ) ) ) ) ) ) ) )).
fof(t14_turing_1,axiom,( k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers)) = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k5_numbers,k5_numbers,1) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,k5_numbers,1)) = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,k5_numbers,1) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,1,1)) = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,1,1,1) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,1,k5_numbers)) = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,1,1) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,2,1)) = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,2,1,1) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,2,k5_numbers)) = k3_xtuple_0(3,k5_numbers,k4_xcmplx_0(1)) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,3,1)) = k3_xtuple_0(4,k5_numbers,k4_xcmplx_0(1)) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,4,1)) = k3_xtuple_0(4,1,k4_xcmplx_0(1)) & k1_funct_1(k12_turing_1,k1_domain_1(k4_ordinal1,k4_ordinal1,4,k5_numbers)) = k4_domain_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,5,k5_numbers,k5_numbers) )).
fof(t14_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ( k1_funct_1(k4_facirc_1,k11_finseq_1(A,B,C)) = k1_binarith(k1_binarith(A,B),C) & k1_funct_1(k16_twoscomp,k11_finseq_1(A,B,C)) = k1_binarith(k1_binarith(k8_margrel1(A),B),C) & k1_funct_1(k17_twoscomp,k11_finseq_1(A,B,C)) = k1_binarith(k1_binarith(k8_margrel1(A),k8_margrel1(B)),C) & k1_funct_1(k13_twoscomp,k11_finseq_1(A,B,C)) = k1_binarith(k1_binarith(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C)) ) ) ) ) )).
fof(t14_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(g1_unialg_1(B,k3_unialg_2(A,B))) & v1_unialg_1(g1_unialg_1(B,k3_unialg_2(A,B))) & v2_unialg_1(g1_unialg_1(B,k3_unialg_2(A,B))) & v3_unialg_1(g1_unialg_1(B,k3_unialg_2(A,B))) & v4_unialg_1(g1_unialg_1(B,k3_unialg_2(A,B))) & l1_unialg_1(g1_unialg_1(B,k3_unialg_2(A,B))) ) ) ) )).
fof(t14_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_unialg_3(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k6_setfam_1(u1_struct_0(A),k7_relset_1(k1_unialg_3(A),k9_setfam_1(u1_struct_0(A)),k3_unialg_3(A),B)) => v1_unialg_2(C,A) ) ) ) ) )).
fof(t14_uniform1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & v5_pre_topc(C,k5_topmetr,k15_euclid(A)) & ! [F] : ( m2_finseq_1(F,k1_numbers) => ~ ( k1_funct_1(F,1) = 1 & k1_funct_1(F,k3_finseq_1(F)) = k5_numbers & r1_xxreal_0(5,k3_finseq_1(F)) & r1_tarski(k2_relset_1(k1_numbers,F),u1_struct_0(k5_topmetr)) & v2_uniform1(F) & ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) => ~ ( r1_xxreal_0(1,G) & ~ r1_xxreal_0(k3_finseq_1(F),G) & H = k1_rcomp_1(k7_partfun1(k1_numbers,F,k1_nat_1(G,1)),k7_partfun1(k1_numbers,F,G)) & I = k7_relset_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A)),C,H) & r1_xxreal_0(B,k2_tbsp_1(k14_euclid(A),I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_uniroots,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k1_complfld)) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r2_tarski(B,k4_finseq_1(A)) => v1_int_1(k1_funct_1(A,B)) ) ) => v1_int_1(k4_rlvect_1(k1_complfld,A)) ) ) )).
fof(t14_uproots,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) & v2_pre_poly(C) ) => ~ ( r1_tarski(k13_pre_poly(C),B) & ! [D] : ( m2_finseq_1(D,k1_numbers) => ~ ( D = k3_relat_1(k19_finseq_1(B),C) & k2_uproots(A,C) = k18_rvsum_1(D) ) ) ) ) ) )).
fof(t14_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(A)) => ! [C] : ( m2_subset_1(C,k1_numbers,k1_urysohn1(A)) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k5_urysohn1(A,C),k5_urysohn1(A,B)) ) ) ) ) )).
fof(t14_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_xxreal_2(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( C = k1_integra2(A,B) & A = k3_xxreal_1(k7_supinf_2(A),k8_supinf_2(A)) ) => ( C = k3_xxreal_1(k7_supinf_2(C),k8_supinf_2(C)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( D = k7_supinf_2(A) & E = k8_supinf_2(A) ) => ( k7_supinf_2(C) = k3_xcmplx_0(B,D) & k8_supinf_2(C) = k3_xcmplx_0(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k6_numbers)) ) => ( F = k3_urysohn3(A,B,C,D,E) => ! [G] : ( m1_subset_1(G,k6_numbers) => ( G = 1 => ( r1_xxreal_0(k1_supinf_2,k8_supinf_2(F)) & r1_xxreal_0(k8_supinf_2(F),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t14_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_valuat_1(E,A,B) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,E,k7_cqc_lang(A,D,k6_cqc_lang(A,D))),C) = k6_margrel1 ) ) ) ) ) )).
fof(t14_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v2_valued_0(A) ) => ? [B] : ( v1_xxreal_0(B) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = B ) ) ) )).
fof(t14_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( k9_xtuple_0(C) = k9_xtuple_0(k45_valued_1(A,B)) & ! [D] : ( r2_hidden(D,k9_xtuple_0(C)) => k1_funct_1(C,D) = k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) => C = k45_valued_1(A,B) ) ) ) ) )).
fof(t14_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k7_valued_1(k13_valued_1(C,A),B) = k13_valued_1(C,k6_xcmplx_0(A,B)) ) ) ) )).
fof(t14_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ( ~ r1_struct_0(D,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [F] : ( m1_vectsp_4(F,A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))) => ( ( C = E & F = D ) => r1_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) ) ) ) ) ) ) ) ) )).
fof(t14_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( v1_vectsp11(C,A,B) & m1_vectsp11(D,A,B,C) ) <=> ~ v7_struct_0(k1_ranknull(A,B,B,k3_matrlin(A,B,B,C,k4_matrlin(A,B,B,k3_struct_0(B),k4_algstr_0(A,D))))) ) ) ) ) ) )).
fof(t14_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( k3_vectsp_1(A,C,k4_struct_0(A),D) = k4_struct_0(C) & k3_vectsp_1(A,C,k4_algstr_0(A,k5_struct_0(A)),D) = k4_algstr_0(C,D) & k3_vectsp_1(A,C,B,k4_struct_0(C)) = k4_struct_0(C) ) ) ) ) ) )).
fof(t14_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => k9_algstr_0(A,k9_algstr_0(A,B)) = B ) ) ) )).
fof(t14_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ( F = D => k3_vectsp_1(A,E,C,F) = k3_vectsp_1(A,B,C,D) ) ) ) ) ) ) ) )).
fof(t14_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => k2_vectsp_5(A,B,C,k2_vectsp_5(A,B,D,E)) = k2_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),E) ) ) ) ) ) )).
fof(t14_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( k4_struct_0(A) != k5_struct_0(A) => ( ( C != k1_xboole_0 & v1_vectsp_4(C,A,B) ) <=> ! [D] : ( m2_vectsp_6(D,A,B,C) => r2_tarski(k4_vectsp_6(A,B,D),C) ) ) ) ) ) ) )).
fof(t14_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( k1_vectsp_7(A,B,C) = B & r1_tarski(C,D) ) => k1_vectsp_7(A,B,D) = B ) ) ) ) ) )).
fof(t14_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_vectsp_7(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( E = k7_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)) & r1_struct_0(k1_vectsp_7(A,B,E),D) ) ) ) ) ) ) ) ) )).
fof(t14_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => r2_relset_1(A,u1_struct_0(B),k4_vfunct_1(A,B,C,k3_xcmplx_0(D,E)),k4_vfunct_1(A,B,k4_vfunct_1(A,B,C,E),D)) ) ) ) ) ) )).
fof(t14_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_2(A,B,C,k3_xcmplx_0(D,E)),k2_vfunct_2(A,B,k2_vfunct_2(A,B,C,E),D)) ) ) ) ) ) )).
fof(t14_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( v7_ordinal1(G) => ( v3_funct_1(E) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),H) = k4_struct_0(D) ) ) ) ) ) ) ) ) ) )).
fof(t14_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_yellow_2(u1_struct_0(A),A,B,C) <=> m1_yellow_0(k1_yellow_2(A,A,C),k1_yellow_2(A,A,B)) ) ) ) ) )).
fof(t14_waybel11,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & B = k6_setfam_1(u1_struct_0(A),C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) => m2_connsp_2(D,A,B) ) ) ) ) ) )).
fof(t14_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_yellow_4(A,k6_domain_1(u1_struct_0(A),k4_yellow_0(A)),B) = B ) ) )).
fof(t14_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => v3_waybel_8(k1_yellow_1(k7_waybel_0(A))) ) )).
fof(t14_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r3_orders_2(A,B,k13_lattice3(A,C,D)) & ~ r3_orders_2(A,B,C) & ~ r3_orders_2(A,B,D) ) ) ) ) ) ) )).
fof(t14_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v8_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) => ( v3_orders_2(k1_yellow_2(A,A,B)) & v4_orders_2(k1_yellow_2(A,A,B)) & v5_orders_2(k1_yellow_2(A,A,B)) & v1_lattice3(k1_yellow_2(A,A,B)) & v2_lattice3(k1_yellow_2(A,A,B)) & v3_waybel_3(k1_yellow_2(A,A,B)) & l1_orders_2(k1_yellow_2(A,A,B)) ) ) ) ) )).
fof(t14_waybel16,axiom,( ! [A] : v1_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))) )).
fof(t14_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_2_waybel17(A,B,C,D)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_waybel_3(A,F,D) & r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) ) ) ) ) ) )).
fof(t14_waybel18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_yellow_1(A)),u1_struct_0(k4_yellow_1(A,k7_funcop_1(A,k2_yellow_1(k1_tarski(k5_numbers)))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(A)),u1_struct_0(k4_yellow_1(A,k7_funcop_1(A,k2_yellow_1(k1_tarski(k5_numbers)))))))) & v23_waybel_0(B,k2_yellow_1(A),k4_yellow_1(A,k7_funcop_1(A,k2_yellow_1(k1_tarski(k5_numbers))))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k1_funct_1(B,C) = k5_funct_3(C,A) ) ) ) )).
fof(t14_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_subset_1(u1_struct_0(k3_yellow_3(A,B)),k6_waybel_0(k3_yellow_3(A,B),k7_yellow_3(A,B,C,D))) = k2_xboole_0(k2_zfmisc_1(k3_subset_1(u1_struct_0(A),k6_waybel_0(A,C)),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),k3_subset_1(u1_struct_0(B),k6_waybel_0(B,D)))) ) ) ) ) )).
fof(t14_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) => ( ( r1_tarski(B,k6_partfun1(u1_struct_0(A))) & r1_yellow_0(k3_yellow_3(A,A),B) ) => r2_tarski(k1_yellow_0(k3_yellow_3(A,A),B),k6_partfun1(u1_struct_0(A))) ) ) ) )).
fof(t14_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v5_yellow_0(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => r2_tarski(k2_yellow_0(A,C),u1_struct_0(B)) ) ) ) ) )).
fof(t14_waybel22,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => k2_partfun1(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B),k2_waybel22(A,B,C),k1_waybel22(A)) = C ) ) )).
fof(t14_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_yellow_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => r1_tarski(k6_waybel_0(B,D),k6_waybel_0(A,C)) ) ) ) ) ) )).
fof(t14_waybel24,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => k7_relset_1(u1_struct_0(A),u1_struct_0(C),k2_waybel24(A,B,C,D,E),F) = k7_relset_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C),D,k6_yellow_3(A,B,F,k6_domain_1(u1_struct_0(B),E))) ) ) ) ) ) ) )).
fof(t14_waybel25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => g1_orders_2(u1_struct_0(k1_waybel25(k3_waybel18(A,k7_funcop_1(A,B)))),u1_orders_2(k1_waybel25(k3_waybel18(A,k7_funcop_1(A,B))))) = g1_orders_2(u1_struct_0(k4_yellow_1(A,k7_funcop_1(A,k1_waybel25(B)))),u1_orders_2(k4_yellow_1(A,k7_funcop_1(A,k1_waybel25(B))))) ) ) )).
fof(t14_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k1_waybel26(C,A)))) => k2_waybel26(B,A,E,k7_relset_1(u1_struct_0(k1_waybel26(C,A)),u1_struct_0(k1_waybel26(B,A)),k4_waybel26(A,B,C,D),F)) = k2_waybel26(C,A,k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E),F) ) ) ) ) ) ) )).
fof(t14_waybel27,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_yellow_1(A,B))) => ( r1_orders_2(k5_yellow_1(A,B),C,D) <=> ! [E] : ( m1_subset_1(E,A) => r1_orders_2(B,k1_waybel27(A,B,C,E),k1_waybel27(A,B,D,E)) ) ) ) ) ) ) )).
fof(t14_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( C = k1_waybel11(A,B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v1_waybel28(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => r1_orders_2(A,k1_waybel_9(A,k2_waybel28(A,B,D)),C) ) ) => ! [D] : ( m2_yellow_6(D,A,B) => C = k1_waybel11(A,D) ) ) ) ) ) )).
fof(t14_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_waybel_9(B) ) => ( ( g1_waybel_9(u1_struct_0(A),u1_orders_2(A),u1_pre_topc(A)) = g1_waybel_9(u1_struct_0(B),u1_orders_2(B),u1_pre_topc(B)) & v4_waybel11(A) ) => v4_waybel11(B) ) ) ) )).
fof(t14_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,k2_waybel19(A)) => r2_tarski(k4_waybel_0(A,C),k5_waybel11(B)) ) ) ) ) )).
fof(t14_waybel31,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_waybel31(A,k1_struct_0(A),B) = k2_waybel_3(A,B) ) ) )).
fof(t14_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v13_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( ~ r2_tarski(C,D) => m2_connsp_2(k3_subset_1(u1_struct_0(B),k5_waybel_0(B,C)),B,D) ) ) ) ) ) )).
fof(t14_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => r2_tarski(k3_yellow19(A,k2_struct_0(A),B),k5_yellow_6(A)) ) ) )).
fof(t14_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_waybel34(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_waybel34(A))) => ! [D] : ( r2_tarski(D,k1_altcat_1(k4_waybel34(A),B,C)) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_yellow21(k4_waybel34(A),B)),u1_struct_0(k4_yellow21(k4_waybel34(A),C))) & v17_waybel_0(D,k4_yellow21(k4_waybel34(A),B),k4_yellow21(k4_waybel34(A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k4_waybel34(A),B)),u1_struct_0(k4_yellow21(k4_waybel34(A),C))))) ) ) ) ) ) )).
fof(t14_waybel35,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_waybel35(C,A,B) => ( ( v2_waybel35(C,A,B) & v8_waybel_4(B,A) ) => r1_waybel35(A,C,B) ) ) ) ) )).
fof(t14_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_waybel_0(A,B) = a_2_0_waybel_0(A,B) ) ) )).
fof(t14_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( v3_lattice3(A) & v17_waybel_0(C,A,B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ~ ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r3_waybel_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E),k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_waybel_0(B,E))) ) ) ) ) ) ) ) )).
fof(t14_waybel_2,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(D,A,B) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,k4_waybel_0(A,C)),k4_waybel_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C))) ) ) ) ) ) )).
fof(t14_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_waybel_3(A,B,C) => ( v1_waybel_3(B,A) | r2_orders_2(A,B,C) ) ) ) ) ) )).
fof(t14_waybel_4,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(A,k6_waybel_4(B,D,C)) <=> r2_hidden(k4_tarski(D,A),C) ) ) ) ) )).
fof(t14_waybel_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) ) => ! [E] : ( m2_pboole(E,C,D,k7_funcop_1(C,u1_struct_0(B))) => ( ~ ( r2_hidden(A,k2_relset_1(u1_struct_0(B),k4_waybel_5(B,E))) & ! [F] : ( m1_subset_1(F,C) => A != k4_yellow_2(B,k1_waybel_5(C,u1_struct_0(B),D,E,F)) ) ) & ( ? [F] : ( m1_subset_1(F,C) & A = k4_yellow_2(B,k1_waybel_5(C,u1_struct_0(B),D,E,F)) ) => r2_hidden(A,k2_relset_1(u1_struct_0(B),k4_waybel_5(B,E))) ) & ~ ( r2_hidden(A,k2_relset_1(u1_struct_0(B),k5_waybel_5(B,E))) & ! [F] : ( m1_subset_1(F,C) => A != k5_yellow_2(B,k1_waybel_5(C,u1_struct_0(B),D,E,F)) ) ) & ( ? [F] : ( m1_subset_1(F,C) & A = k5_yellow_2(B,k1_waybel_5(C,u1_struct_0(B),D,E,F)) ) => r2_hidden(A,k2_relset_1(u1_struct_0(B),k5_waybel_5(B,E))) ) ) ) ) ) ) )).
fof(t14_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r3_orders_2(A,C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( v2_waybel_6(D,A) & r3_orders_2(A,B,D) & ~ r3_orders_2(A,C,D) ) ) ) ) ) ) )).
fof(t14_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_waybel_7(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(k1_yellow_0(A,C),B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r2_tarski(D,B) ) ) ) ) ) ) ) )).
fof(t14_waybel_8,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v5_orders_2(A) ) => v5_orders_2(B) ) ) ) )).
fof(t14_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( v2_yellow_6(k4_waybel_9(A,B,C),A,B) & m1_yellow_6(k4_waybel_9(A,B,C),A,B) ) ) ) ) )).
fof(t14_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k3_weddwitt(A)) => ( ( v2_funct_1(B) & k2_relset_1(k3_weddwitt(A),B) = k3_weddwitt(A) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( ( k3_finseq_1(C) = k3_finseq_1(B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k1_card_1(k1_funct_1(B,D)) ) ) ) => k7_group_1(A) = k1_wsierp_1(C) ) ) ) ) ) )).
fof(t14_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & v2_compts_1(C,A) & v5_pre_topc(B,A,k3_topmetr) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D) = k2_weierstr(k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C)) ) ) ) ) ) ) )).
fof(t14_wellfnd1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_wellfnd1(A) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ v3_wellfnd1(B,A) ) ) ) )).
fof(t14_wellord1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => r1_tarski(k1_wellord1(k2_wellord1(C,B),A),k1_wellord1(C,A)) ) )).
fof(t14_wellord2,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( r1_tarski(A,B) => r1_ordinal1(k2_wellord2(k1_wellord2(A)),B) ) ) )).
fof(t14_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_nat_d(A,B) => r1_nat_d(k1_newton(A,C),k1_newton(B,C)) ) ) ) ) )).
fof(t14_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(B,A) & r1_tarski(C,A) & ! [D] : ( ( r1_tarski(B,D) & r1_tarski(C,D) ) => r1_tarski(A,D) ) ) => A = k2_xboole_0(B,C) ) )).
fof(t14_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(A,k6_xboolean(A,B)) = k4_xboolean(A,B) ) ) )).
fof(t14_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k6_xcmplx_0(A,A) = k5_numbers ) )).
fof(t14_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(C,D) & r1_xxreal_0(k6_xcmplx_0(B,C),k6_xcmplx_0(A,D)) ) ) ) ) ) )).
fof(t14_xtuple_0,axiom,( ! [A] : ! [B] : ~ ( r2_hidden(A,k12_xtuple_0(B)) & ! [C] : ! [D] : ~ r2_hidden(k3_xtuple_0(C,A,D),B) ) )).
fof(t14_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ~ ( ~ r2_hidden(A,k1_numbers) & A != k1_xxreal_0 & A != k2_xxreal_0 ) ) )).
fof(t14_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_tarski(A,k4_xxreal_1(B,C)) => ( r2_tarski(A,k2_xxreal_1(B,C)) & A != B ) ) ) ) )).
fof(t14_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k2_xxreal_2(k2_tarski(A,B)) = k3_xxreal_0(A,B) ) ) )).
fof(t14_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ( A != k2_xxreal_0 => ( k3_xxreal_3(k2_xxreal_0,A) = k2_xxreal_0 & k3_xxreal_3(A,k2_xxreal_0) = k1_xxreal_0 ) ) ) )).
fof(t14_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( k8_yellow_3(A,B,k13_lattice3(k3_yellow_3(A,B),C,D)) = k13_lattice3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D)) & k9_yellow_3(A,B,k13_lattice3(k3_yellow_3(A,B),C,D)) = k13_lattice3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) )).
fof(t14_yellow11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_yellow11(A) => r5_waybel_1(k5_yellow_0(A,k3_yellow11(A,C,k13_lattice3(A,B,C))),k5_yellow_0(A,k3_yellow11(A,k12_lattice3(A,B,C),B))) ) ) ) ) )).
fof(t14_yellow12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v2_waybel_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => v2_waybel_2(B) ) ) ) )).
fof(t14_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_yellow_8(C,A,B) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => C = k1_tarski(u1_struct_0(A)) ) ) ) )).
fof(t14_yellow14,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( r5_waybel_1(A,B) & v1_yellow_0(A) ) => v1_yellow_0(B) ) ) ) )).
fof(t14_yellow15,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m2_finseq_1(E,k5_margrel1) => ( ( k1_funct_1(E,1) = k7_margrel1 => k1_funct_1(k1_yellow15(A,k3_finseq_4(k1_zfmisc_1(A),B,C,D),E),1) = B ) & ( k1_funct_1(E,1) = k6_margrel1 => k1_funct_1(k1_yellow15(A,k3_finseq_4(k1_zfmisc_1(A),B,C,D),E),1) = k6_subset_1(A,B) ) & ( k1_funct_1(E,2) = k7_margrel1 => k1_funct_1(k1_yellow15(A,k3_finseq_4(k1_zfmisc_1(A),B,C,D),E),2) = C ) & ( k1_funct_1(E,2) = k6_margrel1 => k1_funct_1(k1_yellow15(A,k3_finseq_4(k1_zfmisc_1(A),B,C,D),E),2) = k6_subset_1(A,C) ) & ( k1_funct_1(E,3) = k7_margrel1 => k1_funct_1(k1_yellow15(A,k3_finseq_4(k1_zfmisc_1(A),B,C,D),E),3) = D ) & ( k1_funct_1(E,3) = k6_margrel1 => k1_funct_1(k1_yellow15(A,k3_finseq_4(k1_zfmisc_1(A),B,C,D),E),3) = k6_subset_1(A,D) ) ) ) ) ) ) )).
fof(t14_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_yellow16(B,A,C) => ( v22_waybel_0(C,A,A) & v6_waybel_1(C,A) ) ) ) ) ) )).
fof(t14_yellow17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( v1_compts_1(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_tops_2(B,A) & r1_tarski(k2_struct_0(A),k3_tarski(B)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(C,B) & r1_tarski(k2_struct_0(A),k3_tarski(C)) & v1_finset_1(C) ) ) ) ) ) ) )).
fof(t14_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => k2_functor3(B,A,B,k2_yellow18(B,A),k2_yellow18(A,B)) = k12_functor0(B) ) ) ) )).
fof(t14_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => B = k2_yellow19(A,k3_yellow19(A,k2_struct_0(A),B)) ) ) )).
fof(t14_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( v1_relat_1(k1_yellow20(C,D)) & v4_relat_1(k1_yellow20(C,D),k3_xboole_0(A,B)) & v1_funct_1(k1_yellow20(C,D)) & v1_partfun1(k1_yellow20(C,D),k3_xboole_0(A,B)) ) ) ) )).
fof(t14_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( r2_tarski(u1_struct_0(B),A) => ( m1_subset_1(B,u1_struct_0(k6_yellow21(A))) <=> ( v1_orders_2(B) & v3_lattice3(B) ) ) ) ) ) )).
fof(t14_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( ( r1_yellow_0(A,C) => r1_yellow_0(B,C) ) & ( r2_yellow_0(A,C) => r2_yellow_0(B,C) ) ) ) ) ) )).
fof(t14_yellow_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( r2_tarski(k3_tarski(A),A) => k4_yellow_0(k1_yellow_1(A)) = k3_tarski(A) ) ) )).
fof(t14_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( v5_orders_3(C,A,B) & r2_lattice3(A,D,E) ) => r2_lattice3(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(t14_yellow_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ~ v2_struct_0(k3_yellow_3(A,B)) => ( ~ v2_struct_0(A) & ~ v2_struct_0(B) ) ) ) ) )).
fof(t14_yellow_4,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k2_yellow_4(A,k2_yellow_4(A,B,C),D) = k2_yellow_4(A,B,k2_yellow_4(A,C,D)) ) ) ) ) )).
fof(t14_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_orders_2(A,k1_yellow_5(A,B,C),D) & r3_orders_2(A,k1_yellow_5(A,C,B),D) ) => r3_orders_2(A,k3_yellow_5(A,B,C),D) ) ) ) ) ) )).
fof(t14_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => m2_yellow_6(B,A,B) ) ) )).
fof(t14_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v2_lattice3(A) ) => v2_lattice3(B) ) ) ) )).
fof(t14_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( r1_tarski(B,u1_pre_topc(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( v1_tops_2(D,A) & v1_yellow_8(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & r1_tarski(D,B) ) ) ) => ( v1_cantor_1(B,A) & v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(t14_yellow_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( r2_tarski(A,B) => ! [C] : ( r2_tarski(C,k2_cantor_1(A,B)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & r1_tarski(D,B) & C = k8_setfam_1(A,D) ) ) ) ) )).
fof(t14_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ( ( v8_zf_fund1(C,A) & r1_tarski(D,C) & r2_tarski(B,k1_funct_2(E,D)) ) => r2_tarski(B,C) ) ) ) ) ) )).
fof(t14_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( k3_finseq_1(A) = 3 => v7_zf_lang(A) ) ) )).
fof(t14_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k13_zf_lang(C,E,A) = k13_zf_lang(D,F,B) => ( C = D & E = F & A = B ) ) ) ) ) ) ) ) )).
fof(t14_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r1_zf_model(A,B,C) <=> ~ r1_zf_model(A,B,k5_zf_lang(C)) ) ) ) ) )).
fof(t14_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( v3_ordinal1(B) & m1_subset_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) ) => ( k2_zf_refle(C,A,B) = k3_card_3(k5_relset_1(k2_ordinal1(A),k2_ordinal1(A),C,B)) & k2_zf_refle(k5_relset_1(k2_ordinal1(A),k2_ordinal1(A),C,B),A,B) = k3_card_3(k5_relset_1(k2_ordinal1(A),k2_ordinal1(A),C,B)) ) ) ) ) )).
fof(t14_zfmisc_1,axiom,( ! [A] : ! [B] : ( k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A) <=> A != B ) )).
fof(t14_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_zfmodel1(B,A) => r2_zfmodel1(B,A) ) ) ) )).
fof(t14_zfmodel2,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,C))) ) => ( r1_zf_model(C,E,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(D,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) => ( r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(D)) | r2_tarski(A,k4_zf_lang1(D)) | r2_tarski(B,k2_zf_model(D)) | A = k2_zf_lang(k5_numbers) | A = k2_zf_lang(3) | A = k2_zf_lang(4) | ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(k6_zf_lang1(D,B,A))) & r1_zf_model(C,k2_zf_lang1(C,E,A,k3_funct_2(k1_zf_lang,C,E,B)),k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(k6_zf_lang1(D,B,A),k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(C,C,k1_zfmodel1(D,C,E),k1_zfmodel1(k6_zf_lang1(D,B,A),C,k2_zf_lang1(C,E,A,k3_funct_2(k1_zf_lang,C,E,B)))) ) ) ) ) ) ) ) ) )).
fof(t14_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( v2_ordinal2(B) => v2_ordinal2(k1_ordinal3(A,B)) ) ) ) )).
fof(t14_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_zmodul01(A,k4_rlvect_1(A,k2_finseq_4(u1_struct_0(A),C,D)),B) = k3_rlvect_1(A,k1_zmodul01(A,C,B),k1_zmodul01(A,D,B)) ) ) ) ) )).
fof(t14_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => k20_zmodul02(A,k6_finseq_1(u1_struct_0(A)),B) = k6_finseq_1(u1_struct_0(A)) ) ) )).
fof(t14_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul03(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(k33_zmodul02(A,B),C) ) ) ) )).
fof(t14_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) => ( C = k7_relset_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),B) => k1_card_1(B) = k1_card_1(C) ) ) ) ) )).
fof(t14_zmodul05,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => k2_zmodul05(k6_domain_1(k4_numbers,A)) = A ) )).
fof(t14_zmodul06,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_int_3)) => ! [C] : ( v1_int_1(C) => ( B = C => k1_binop_1(k12_zmodul01(k1_int_3),A,B) = k3_xcmplx_0(A,C) ) ) ) ) )).
fof(t150_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k38_abcmiz_1(A))) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => k63_abcmiz_1(A,D,k63_abcmiz_1(A,C,B)) = k63_abcmiz_1(A,k65_abcmiz_1(A,C,D),B) ) ) ) ) )).
fof(t150_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v9_absred_0(A) <=> v6_rewrite1(u1_absred_0(A)) ) ) )).
fof(t150_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( m1_subset_1(F,k4_aofa_l00(B,C,D)) => ! [G] : ( m1_subset_1(G,k4_aofa_l00(B,C,D)) => ! [H] : ( m1_subset_1(H,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [I] : ( m1_subset_1(I,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [J] : ( ( v4_msualg_1(J,E) & v15_aofa_l00(J,B,E,C) & v17_aofa_l00(J,E) & l5_aofa_l00(J,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [K] : ( ( v24_aofa_l00(K,A,E,J) & v25_aofa_l00(K,A,B,C,D,E,J) & v28_aofa_l00(K,A,B,C,D,E,J) & m1_subset_1(K,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E)))) ) => ! [L] : ( m1_subset_1(L,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E))) => ! [M] : ( m1_subset_1(M,u1_struct_0(E)) => ( ( v18_aofa_l00(J,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v20_aofa_l00(J,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v13_aofa_l00(J,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v12_aofa_l00(J,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v26_aofa_l00(J,A,B,C,D,E) & v19_aofa_l00(J,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v27_aofa_l00(J,A,B,C,D,E) & F = H & r2_tarski(H,k1_funct_1(D,M)) & G = I & r2_tarski(I,k1_funct_1(D,M)) ) => ( F = G | r2_hidden(G,k1_msafree4(u1_struct_0(E),k10_aofa_a00(E,J,u1_aofa_l00(E),L),M)) | v1_finset_1(k1_funct_1(D,M)) | r2_tarski(k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,k16_aofa_l00(A,E,J,L,k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,k15_aofa_l00(A,E,J,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,F,G),k6_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,u1_aofa_l00(E),L,H,I)),G)),F),K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t150_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,k2_bvfunc_1(A,B,C),k2_bvfunc_1(A,k2_bvfunc_1(A,D,E),F)),k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,B,E)),k5_bvfunc_1(A,B,F)),k5_bvfunc_1(A,C,D)),k5_bvfunc_1(A,C,E)),k5_bvfunc_1(A,C,F))) ) ) ) ) ) ) )).
fof(t150_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : k8_funct_6(A,k10_finseq_1(B,C)) = k10_finseq_1(k1_funct_2(A,B),k1_funct_2(A,C)) )).
fof(t150_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ! [D] : ( ( r1_glib_000(A,k4_glib_001(A,B),D,C) & ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( ~ r1_xxreal_0(E,1) & r1_xxreal_0(E,k3_finseq_1(B)) & k1_funct_1(B,E) = D ) ) ) => ( r2_hidden(C,k14_glib_001(A,B)) | ( ~ v3_glib_001(B,A) & v1_glib_001(B,A) ) | v5_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(t150_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k18_group_2(A,k7_group_2(A)) = 1 ) )).
fof(t150_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k17_member_1(k6_subset_1(A,B),C) = k6_subset_1(k17_member_1(A,C),k17_member_1(B,C)) ) ) ) )).
fof(t150_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ! [D] : ( ( k5_relat_1(A,C) = k5_relat_1(B,C) & k5_relat_1(A,D) = k5_relat_1(B,D) ) => k5_relat_1(A,k2_xboole_0(C,D)) = k5_relat_1(B,k2_xboole_0(C,D)) ) ) ) )).
fof(t150_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,C,k5_sheffer1(A,E,B)) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) ) )).
fof(t150_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k2_xcmplx_0(A,B) = k6_xcmplx_0(A,k4_xcmplx_0(B)) ) ) )).
fof(t150_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,1) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) & k3_xcmplx_0(A,B) = 1 ) => A = 1 ) ) ) )).
fof(t150_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(D,B) ) => k3_xboole_0(k2_xxreal_1(C,D),k2_xxreal_1(A,B)) = k2_xxreal_1(A,D) ) ) ) ) ) )).
fof(t150_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => k3_zf_lang1(k16_zf_lang(B,C,D,A)) = k2_xboole_0(k3_zf_lang1(A),k1_enumset1(B,C,D)) ) ) ) ) )).
fof(t150_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m2_zmodul01(D,A,B) & r2_tarski(C,D) ) ) ) ) )).
fof(t151_abcmiz_1,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & l1_msualg_1(A) ) => ! [B] : ( m3_abcmiz_1(B,A) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_abcmiz_1,k34_abcmiz_1(A)))) ) => k64_abcmiz_1(A,D,k64_abcmiz_1(A,C,B)) = k64_abcmiz_1(A,k65_abcmiz_1(A,C,D),B) ) ) ) ) )).
fof(t151_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v10_absred_0(A) <=> v7_rewrite1(u1_absred_0(A)) ) ) )).
fof(t151_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( m1_subset_1(F,k4_aofa_l00(B,C,D)) => ! [G] : ( m1_subset_1(G,k4_aofa_l00(B,C,D)) => ! [H] : ( ( v4_msualg_1(H,E) & v15_aofa_l00(H,B,E,C) & v17_aofa_l00(H,E) & l5_aofa_l00(H,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [I] : ( ( v24_aofa_l00(I,A,E,H) & v25_aofa_l00(I,A,B,C,D,E,H) & v28_aofa_l00(I,A,B,C,D,E,H) & m1_subset_1(I,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,H),u1_aofa_l00(E)))) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(E)) => ( ( v12_aofa_l00(H,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v26_aofa_l00(H,A,B,C,D,E) & v18_aofa_l00(H,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v27_aofa_l00(H,A,B,C,D,E) & r2_tarski(F,k1_funct_1(D,J)) & r2_tarski(G,k1_funct_1(D,J)) ) => ( F = G | r2_tarski(k17_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),H,k18_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),H,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),H,F,G),G),F),I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t151_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,D,E)),k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,k2_bvfunc_1(A,k2_bvfunc_1(A,C,D),E)),k9_bvfunc_1(A,C,k2_bvfunc_1(A,D,E))),k9_bvfunc_1(A,D,E))) ) ) ) ) ) )).
fof(t151_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k10_xtuple_0(C) = k2_tarski(A,B) & k3_finseq_1(C) = 2 & ~ ( k1_funct_1(C,1) = A & k1_funct_1(C,2) = B ) & ~ ( k1_funct_1(C,1) = B & k1_funct_1(C,2) = A ) ) ) )).
fof(t151_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => ( r2_hidden(D,k13_glib_001(A,B)) | ( ~ v3_glib_001(B,A) & v1_glib_001(B,A) ) | v5_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(t151_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( v1_finset_1(k15_group_2(A,B)) & k18_group_2(A,B) = 1 ) => B = A ) ) ) )).
fof(t151_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k17_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k17_member_1(A,C),k17_member_1(B,C)) ) ) ) )).
fof(t151_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( ( r1_tarski(k9_xtuple_0(C),A) & r1_tarski(C,B) ) => r1_tarski(C,k5_relat_1(B,A)) ) ) ) )).
fof(t151_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,E,C)) = k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))))) ) ) ) ) ) )).
fof(t151_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => A = k6_xcmplx_0(A,k2_xcmplx_0(B,k4_xcmplx_0(B))) ) ) )).
fof(t151_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,B) ) => r1_xxreal_0(A,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t151_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(B,D) ) => k3_xboole_0(k2_xxreal_1(C,D),k2_xxreal_1(A,B)) = k2_xxreal_1(C,B) ) ) ) ) ) )).
fof(t151_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => r1_tarski(k2_zf_model(A),k3_zf_lang1(A)) ) )).
fof(t151_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( C = D => k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,B) = k5_binom(A,B,D) ) ) ) ) ) )).
fof(t152_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v11_absred_0(A) <=> v8_rewrite1(u1_absred_0(A)) ) ) )).
fof(t152_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( m1_subset_1(F,k4_aofa_l00(B,C,D)) => ! [G] : ( m1_subset_1(G,k4_aofa_l00(B,C,D)) => ! [H] : ( m1_subset_1(H,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [I] : ( m1_subset_1(I,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [J] : ( ( v4_msualg_1(J,E) & v15_aofa_l00(J,B,E,C) & v17_aofa_l00(J,E) & l5_aofa_l00(J,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [K] : ( ( v24_aofa_l00(K,A,E,J) & v25_aofa_l00(K,A,B,C,D,E,J) & v28_aofa_l00(K,A,B,C,D,E,J) & m1_subset_1(K,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E)))) ) => ! [L] : ( m1_subset_1(L,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E))) => ! [M] : ( m1_subset_1(M,u1_struct_0(E)) => ( ( v12_aofa_l00(J,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & F = H & r2_tarski(H,k1_funct_1(D,M)) & G = I & r2_tarski(I,k1_funct_1(D,M)) ) => r2_tarski(k15_aofa_l00(A,E,J,k13_aofa_l00(A,E,J,L,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,F,G)),k6_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,u1_aofa_l00(E),L,H,I)),K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t152_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,D),k9_bvfunc_1(A,C,E)),k5_bvfunc_1(A,B,C)),k5_bvfunc_1(A,D,E)) ) ) ) ) ) )).
fof(t152_finseq_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_tarski(A,k2_finseq_1(B)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(A))) & D = k1_funct_1(k14_finseq_1(A),C) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(t152_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => k16_glib_001(A,B,k1_funct_1(B,C)) = k18_glib_001(A,B,k1_funct_1(B,C)) ) ) => v5_glib_001(B,A) ) ) ) )).
fof(t152_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k17_group_2(A,k6_group_2(A)) = k7_struct_0(A) ) )).
fof(t152_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r2_hidden(k3_xxreal_3(B,C),k18_member_1(A,B)) ) ) ) ) )).
fof(t152_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r1_xboole_0(B,k9_xtuple_0(A)) => k5_relat_1(A,B) = k1_xboole_0 ) ) )).
fof(t152_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,D,C)) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).
fof(t152_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( k6_xcmplx_0(A,C) = k2_xcmplx_0(B,k4_xcmplx_0(C)) => A = B ) ) ) ) )).
fof(t152_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(B,1) ) => r1_xxreal_0(A,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t152_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(B,D) & k3_xboole_0(k3_xxreal_1(C,D),k2_xxreal_1(A,B)) != k1_xxreal_1(A,D) ) ) ) ) ) )).
fof(t152_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k5_zf_lang1(k3_zf_lang(A,B),C,D) = k3_zf_lang(E,F) <=> ~ ( ~ ( A != C & B != C & E = A & F = B ) & ~ ( A = C & B != C & E = D & F = B ) & ~ ( A != C & B = C & E = A & F = D ) & ~ ( A = C & B = C & E = D & F = D ) ) ) ) ) ) ) ) ) )).
fof(t152_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ( C = k5_numbers => k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,B) = k4_struct_0(A) ) ) ) ) )).
fof(t153_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v12_absred_0(A) <=> v9_rewrite1(u1_absred_0(A)) ) ) )).
fof(t153_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( ~ v3_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & l2_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( m1_subset_1(F,k4_aofa_l00(B,C,D)) => ! [G] : ( m1_subset_1(G,k4_aofa_l00(B,C,D)) => ! [H] : ( m1_subset_1(H,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [I] : ( m1_subset_1(I,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [J] : ( ( v4_msualg_1(J,E) & v15_aofa_l00(J,B,E,C) & v17_aofa_l00(J,E) & l5_aofa_l00(J,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [K] : ( ( v24_aofa_l00(K,A,E,J) & v25_aofa_l00(K,A,B,C,D,E,J) & v28_aofa_l00(K,A,B,C,D,E,J) & m1_subset_1(K,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E)))) ) => ! [L] : ( m1_subset_1(L,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,J),u1_aofa_l00(E))) => ! [M] : ( m1_subset_1(M,u1_struct_0(E)) => ( ( v12_aofa_l00(J,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & F = H & r2_tarski(H,k1_funct_1(D,M)) & G = I & r2_tarski(I,k1_funct_1(D,M)) ) => r2_tarski(k15_aofa_l00(A,E,J,k13_aofa_l00(A,E,J,L,k12_aofa_l00(A,E,J,k6_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,u1_aofa_l00(E),L,H,I))),k12_aofa_l00(A,E,J,k23_aofa_l00(A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),J,F,G))),K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t153_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,k2_bvfunc_1(A,B,C),k1_bvfunc_1(A,D)),B),D),k1_bvfunc_1(A,C)) ) ) ) ) )).
fof(t153_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) ) => k3_finseq_1(B) = A ) ) )).
fof(t153_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( ! [C] : ( ( ~ v1_abian(C) & m1_subset_1(C,k4_ordinal1) ) => ( r1_xxreal_0(C,k3_finseq_1(B)) => k19_glib_001(A,B,C) = C ) ) => v5_glib_001(B,A) ) ) ) )).
fof(t153_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k18_group_2(A,k6_group_2(A)) = k7_group_1(A) ) )).
fof(t153_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k18_member_1(A,B) = a_2_10_member_1(A,B) ) ) )).
fof(t153_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ! [D] : ( ( r1_tarski(C,D) & k5_relat_1(A,D) = k5_relat_1(B,D) ) => k5_relat_1(A,C) = k5_relat_1(B,C) ) ) ) )).
fof(t153_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,D,C),B) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).
fof(t153_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( k6_xcmplx_0(C,A) = k2_xcmplx_0(C,k4_xcmplx_0(B)) => A = B ) ) ) ) )).
fof(t153_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,1) ) => r1_xxreal_0(k3_xcmplx_0(A,B),A) ) ) ) )).
fof(t153_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(B,D) ) => k3_xboole_0(k3_xxreal_1(C,D),k2_xxreal_1(A,B)) = k4_xxreal_1(C,B) ) ) ) ) ) )).
fof(t153_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ? [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) & ? [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) & k5_zf_lang1(k3_zf_lang(A,B),C,D) = k3_zf_lang(E,F) ) ) ) ) ) ) )).
fof(t153_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k10_nat_1(u1_struct_0(A),k3_binom(A),B,k4_struct_0(A)) = k4_struct_0(A) ) ) )).
fof(t154_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_absred_0(A) ) => ( v13_absred_0(A) <=> v10_rewrite1(u1_absred_0(A)) ) ) )).
fof(t154_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [K] : ( m1_subset_1(K,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [L] : ( ( v24_aofa_l00(L,A,E,F) & v25_aofa_l00(L,A,B,C,D,E,F) & v28_aofa_l00(L,A,B,C,D,E,F) & v29_aofa_l00(L,A,B,C,D,E,F,K) & m1_subset_1(L,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,k13_aofa_l00(A,E,F,k13_aofa_l00(A,E,F,H,I),J),G),k13_aofa_l00(A,E,F,k13_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,H,G),k24_aofa_l00(A,B,C,D,E,F,I,G)),k24_aofa_l00(A,B,C,D,E,F,J,G))),L) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t154_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,k5_margrel1) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,k5_margrel1) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),k5_bvfunc_1(A,k5_bvfunc_1(A,E,F),G)),k9_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k1_bvfunc_1(A,E),k1_bvfunc_1(A,F)),D),k5_bvfunc_1(A,k5_bvfunc_1(A,k1_bvfunc_1(A,B),k1_bvfunc_1(A,C)),G))) ) ) ) ) ) ) ) )).
fof(t154_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) & k1_funct_1(k7_finseq_1(B,C),D) != k1_funct_1(B,D) ) ) ) ) ) )).
fof(t154_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => r1_xxreal_0(k3_finseq_1(k11_glib_001(A,B)),k1_nat_1(k15_glib_000(A),1)) ) ) )).
fof(t154_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( k18_group_2(A,B) = k7_group_1(A) => r1_group_2(A,B,k6_group_2(A)) ) ) ) )).
fof(t154_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ~ ( r2_tarski(C,k18_member_1(A,B)) & ! [D] : ( m1_subset_1(D,k6_numbers) => ~ ( C = k3_xxreal_3(B,D) & r2_tarski(D,A) ) ) ) ) ) )).
fof(t154_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k5_relat_1(A,k9_xtuple_0(B)) = k5_relat_1(A,k9_xtuple_0(k5_relat_1(B,k9_xtuple_0(A)))) ) ) )).
fof(t154_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,C),B),D) = k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,C,C),B)) ) ) ) ) )).
fof(t154_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k2_xcmplx_0(A,B),C) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),A),B) ) ) ) )).
fof(t154_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(1,B) ) => r1_xxreal_0(k3_xcmplx_0(A,B),A) ) ) ) )).
fof(t154_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( r1_xxreal_0(D,B) => ( r1_xxreal_0(A,C) | k3_xboole_0(k4_xxreal_1(C,D),k2_xxreal_1(A,B)) = k2_xxreal_1(A,D) ) ) ) ) ) ) )).
fof(t154_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k5_zf_lang1(k4_zf_lang(A,B),C,D) = k4_zf_lang(E,F) <=> ~ ( ~ ( A != C & B != C & E = A & F = B ) & ~ ( A = C & B != C & E = D & F = B ) & ~ ( A != C & B = C & E = A & F = D ) & ~ ( A = C & B = C & E = D & F = D ) ) ) ) ) ) ) ) ) )).
fof(t154_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_numbers) => k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),B,k4_struct_0(A)) = k4_struct_0(A) ) ) )).
fof(t155_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( v9_absred_0(A) & r3_absred_0(A,D,B) & r2_absred_0(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_absred_0(A,B,E) & r3_absred_0(A,C,E) ) ) ) ) ) ) ) )).
fof(t155_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [K] : ( m1_subset_1(K,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [L] : ( ( v24_aofa_l00(L,A,E,F) & v25_aofa_l00(L,A,B,C,D,E,F) & v28_aofa_l00(L,A,B,C,D,E,F) & v29_aofa_l00(L,A,B,C,D,E,F,K) & m1_subset_1(L,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,k14_aofa_l00(A,E,F,k14_aofa_l00(A,E,F,H,I),J),G),k14_aofa_l00(A,E,F,k14_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,H,G),k24_aofa_l00(A,B,C,D,E,F,I,G)),k24_aofa_l00(A,B,C,D,E,F,J,G))),L) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t155_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,D,B)),k5_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D),k2_bvfunc_1(A,k2_bvfunc_1(A,k1_bvfunc_1(A,B),k1_bvfunc_1(A,C)),k1_bvfunc_1(A,D)))) ) ) ) ) )).
fof(t155_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) & k1_funct_1(k7_finseq_1(C,D),k2_xcmplx_0(B,E)) != k1_funct_1(D,E) ) ) ) ) ) ) )).
fof(t155_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v6_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ! [D] : ( r1_glib_000(A,k4_glib_001(A,B),D,C) => ( r2_hidden(D,k13_glib_001(A,B)) | v6_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).
fof(t155_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ( v1_finset_1(k15_group_2(A,B)) & k17_group_2(A,B) = k7_struct_0(A) ) => ( v8_struct_0(A) & r1_group_2(A,B,k6_group_2(A)) ) ) ) ) )).
fof(t155_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => ( r1_tarski(k18_member_1(A,C),k18_member_1(B,C)) => r1_tarski(A,B) ) ) ) ) )).
fof(t155_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( ~ v3_relat_1(k5_relat_1(B,A)) & v3_relat_1(B) ) ) )).
fof(t155_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,C,E) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,E,B),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))),C))) ) ) ) ) ) )).
fof(t155_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(k6_xcmplx_0(A,B),C) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),C),A) ) ) ) )).
fof(t155_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,1) & r1_xxreal_0(k3_xcmplx_0(A,B),A) ) ) ) )).
fof(t155_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(B,D) ) => k3_xboole_0(k4_xxreal_1(C,D),k2_xxreal_1(A,B)) = k4_xxreal_1(C,B) ) ) ) ) ) )).
fof(t155_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ? [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) & ? [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) & k5_zf_lang1(k4_zf_lang(A,B),C,D) = k4_zf_lang(E,F) ) ) ) ) ) ) )).
fof(t155_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ( C = 1 => k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,B) = B ) ) ) ) )).
fof(t156_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( v9_absred_0(A) & r2_absred_0(A,C,B) & r3_absred_0(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r3_absred_0(A,B,E) & r2_absred_0(A,D,E) ) ) ) ) ) ) ) )).
fof(t156_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [K] : ( ( v24_aofa_l00(K,A,E,F) & v25_aofa_l00(K,A,B,C,D,E,F) & v28_aofa_l00(K,A,B,C,D,E,F) & v29_aofa_l00(K,A,B,C,D,E,F,J) & m1_subset_1(K,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ( r2_tarski(k16_aofa_l00(A,E,F,H,I),K) => r2_tarski(k16_aofa_l00(A,E,F,k25_aofa_l00(A,B,C,D,E,F,H,G),k25_aofa_l00(A,B,C,D,E,F,I,G)),K) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t156_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,D,B)),k5_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)),k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D)) ) ) ) ) )).
fof(t156_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k1_relset_1(k4_ordinal1,A)) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) => r2_tarski(C,k1_relset_1(k4_ordinal1,A)) ) ) ) ) ) )).
fof(t156_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ( r1_glib_000(A,C,C,B) => v8_glib_001(k2_glib_001(A,C,C,B),A) ) ) )).
fof(t156_group_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_finset_1(B) => ~ ( ! [C] : ~ ( r2_tarski(C,B) & ! [D] : ( v1_finset_1(D) => ~ ( D = C & k4_card_1(D) = A & ! [E] : ( r2_tarski(E,B) => ( C = E | ( r2_wellord2(C,E) & r1_xboole_0(C,E) ) ) ) ) ) ) & ! [C] : ( v1_finset_1(C) => ~ ( C = k3_tarski(B) & k4_card_1(C) = k3_xcmplx_0(A,k4_card_1(B)) ) ) ) ) ) )).
fof(t156_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => ( k18_member_1(A,C) = k18_member_1(B,C) => A = B ) ) ) ) )).
fof(t156_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k9_xtuple_0(k5_relat_1(B,k6_subset_1(k9_xtuple_0(B),A))) = k6_subset_1(k9_xtuple_0(B),A) ) )).
fof(t156_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,B,D) = k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,C),k5_sheffer1(A,D,B))) ) ) ) ) )).
fof(t156_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(A,k6_xcmplx_0(k4_xcmplx_0(B),C)) = k2_xcmplx_0(k2_xcmplx_0(A,B),C) ) ) ) )).
fof(t156_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(1,B) & r1_xxreal_0(k3_xcmplx_0(A,B),A) ) ) ) )).
fof(t156_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(D,B) ) => k3_xboole_0(k3_xxreal_1(C,D),k3_xxreal_1(A,B)) = k3_xxreal_1(A,D) ) ) ) ) ) )).
fof(t156_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( k5_zf_lang(A) = k5_zf_lang1(k5_zf_lang(B),C,D) <=> A = k5_zf_lang1(B,C,D) ) ) ) ) ) )).
fof(t156_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(C,D) & E = k6_xcmplx_0(D,C) ) => k10_nat_1(u1_struct_0(A),k3_binom(A),E,B) = k5_algstr_0(A,k10_nat_1(u1_struct_0(A),k3_binom(A),D,B),k10_nat_1(u1_struct_0(A),k3_binom(A),C,B)) ) ) ) ) ) ) )).
fof(t157_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ~ ( ~ v10_absred_0(A) & v4_absred_0(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r9_absred_0(A,C,B) & r9_absred_0(A,D,B) & C != D ) ) ) ) ) ) )).
fof(t157_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [K] : ( ( v24_aofa_l00(K,A,E,F) & v25_aofa_l00(K,A,B,C,D,E,F) & v28_aofa_l00(K,A,B,C,D,E,F) & v29_aofa_l00(K,A,B,C,D,E,F,J) & m1_subset_1(K,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ( r2_tarski(k16_aofa_l00(A,E,F,H,I),K) => r2_tarski(k16_aofa_l00(A,E,F,k26_aofa_l00(A,B,C,D,E,F,H,G),k26_aofa_l00(A,B,C,D,E,F,I,G)),K) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t157_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k5_bvfunc_1(A,B,C),k5_bvfunc_1(A,C,D)),k5_bvfunc_1(A,D,B)),k1_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),D))),k5_bvfunc_1(A,k5_bvfunc_1(A,k2_bvfunc_1(A,k2_bvfunc_1(A,k1_bvfunc_1(A,B),C),D),k2_bvfunc_1(A,k2_bvfunc_1(A,B,k1_bvfunc_1(A,C)),D)),k2_bvfunc_1(A,k2_bvfunc_1(A,B,C),k1_bvfunc_1(A,D)))) ) ) ) ) )).
fof(t157_finseq_3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( C = k1_tarski(k4_tarski(B,A)) => k15_finseq_1(C) = k9_finseq_1(A) ) ) ) )).
fof(t157_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ! [E] : ~ ( r1_glib_000(A,D,E,C) & r2_tarski(C,k14_glib_001(A,B)) & v8_glib_001(B,A) & ! [F] : ( m3_glib_001(F,A) => ~ ( r1_glib_001(A,D,E,F) & ~ r2_tarski(C,k14_glib_001(A,F)) ) ) ) ) ) )).
fof(t157_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k18_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k18_member_1(A,C),k18_member_1(B,C)) ) ) ) )).
fof(t157_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k5_relat_1(B,A) = k5_relat_1(B,k3_xboole_0(k9_xtuple_0(B),A)) ) )).
fof(t157_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))),B),C)) = k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,C,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))))) ) ) ) ) ) )).
fof(t157_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(A,B),C) = k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),C),A) ) ) ) )).
fof(t157_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,B) & r1_xxreal_0(A,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t157_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(B,D) ) => k3_xboole_0(k3_xxreal_1(C,D),k3_xxreal_1(A,B)) = k3_xxreal_1(C,B) ) ) ) ) ) )).
fof(t157_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => r2_tarski(k5_zf_lang1(A,B,C),k8_zf_lang) ) ) ) )).
fof(t157_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k4_algstr_0(A,k10_nat_1(u1_struct_0(A),k3_binom(A),C,B)) = k10_nat_1(u1_struct_0(A),k3_binom(A),C,k4_algstr_0(A,B)) ) ) ) )).
fof(t158_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ( v13_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r7_absred_0(A,B,C) => k3_absred_0(A,B) = k3_absred_0(A,C) ) ) ) ) ) )).
fof(t158_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( ( v24_aofa_l00(J,A,E,F) & v25_aofa_l00(J,A,B,C,D,E,F) & v28_aofa_l00(J,A,B,C,D,E,F) & v29_aofa_l00(J,A,B,C,D,E,F,I) & m1_subset_1(J,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => r2_tarski(k16_aofa_l00(A,E,F,k25_aofa_l00(A,B,C,D,E,F,H,G),k14_aofa_l00(A,E,F,k14_aofa_l00(A,E,F,H,k24_aofa_l00(A,B,C,D,E,F,H,G)),k25_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,H,k13_aofa_000(F,G,G)),G))),J) ) ) ) ) ) ) ) ) ) ) )).
fof(t158_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,B,k2_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t158_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => k4_card_1(A) = k3_finseq_1(k15_finseq_1(A)) ) )).
fof(t158_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => m4_glib_001(B,A,B) ) ) )).
fof(t158_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k18_member_1(k6_subset_1(A,B),C) = k6_subset_1(k18_member_1(A,C),k18_member_1(B,C)) ) ) ) )).
fof(t158_relat_1,axiom,( ! [A] : ! [B] : r1_tarski(k9_xtuple_0(k2_zfmisc_1(A,B)),A) )).
fof(t158_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,E),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))),C))) = k5_sheffer1(A,k5_sheffer1(A,B,E),k5_sheffer1(A,B,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))))) ) ) ) ) ) )).
fof(t158_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(A,B),C) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),A),B) ) ) ) )).
fof(t158_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,1) & r1_xxreal_0(A,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t158_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(D,B) ) => k3_xboole_0(k4_xxreal_1(C,D),k3_xxreal_1(A,B)) = k4_xxreal_1(A,D) ) ) ) ) ) )).
fof(t158_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k6_zf_lang(A,B) = k6_zf_lang1(k6_zf_lang(C,D),E,F) <=> ( A = k6_zf_lang1(C,E,F) & B = k6_zf_lang1(D,E,F) ) ) ) ) ) ) ) ) )).
fof(t158_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => ( r2_tarski(C,k4_ordinal1) => ( r2_tarski(D,k4_ordinal1) | k1_binop_1(k12_zmodul01(A),k2_xcmplx_0(C,D),B) = k3_rlvect_1(A,k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,B),k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,B)) ) ) ) ) ) ) )).
fof(t159_absred_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_funct_1(C) & v2_margrel1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_funct_1(D) & v2_margrel1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ( ( k18_margrel1(B) = k5_ordinal1 & k18_margrel1(C) = 1 & k18_margrel1(D) = 2 ) => ! [E] : ( ( ~ v2_struct_0(E) & l1_unialg_1(E) ) => ( ( u1_struct_0(E) = A & r1_relset_1(k4_ordinal1,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A)),k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A)),B,C,D),u1_unialg_1(E)) ) => v15_absred_0(E) ) ) ) ) ) ) ) )).
fof(t159_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( ( v24_aofa_l00(J,A,E,F) & v25_aofa_l00(J,A,B,C,D,E,F) & v28_aofa_l00(J,A,B,C,D,E,F) & v29_aofa_l00(J,A,B,C,D,E,F,I) & m1_subset_1(J,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => r2_tarski(k16_aofa_l00(A,E,F,k26_aofa_l00(A,B,C,D,E,F,H,G),k13_aofa_l00(A,E,F,k13_aofa_l00(A,E,F,H,k24_aofa_l00(A,B,C,D,E,F,H,G)),k26_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,H,k13_aofa_000(F,G,G)),G))),J) ) ) ) ) ) ) ) ) ) ) )).
fof(t159_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,k5_bvfunc_1(A,B,C),D)) ) ) ) ) )).
fof(t159_finseq_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_finseq_1(B) ) => ~ ( k15_finseq_1(B) = k9_finseq_1(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => B != k1_tarski(k4_tarski(C,A)) ) ) ) )).
fof(t159_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m4_glib_001(C,A,B) => ! [D] : ( m4_glib_001(D,A,C) => m4_glib_001(D,A,B) ) ) ) ) )).
fof(t159_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k18_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k18_member_1(A,C),k18_member_1(B,C)) ) ) ) )).
fof(t159_relat_1,axiom,( ! [A] : ! [B] : r1_tarski(k10_xtuple_0(k2_zfmisc_1(A,B)),B) )).
fof(t159_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,C,k5_sheffer1(A,E,D))) = k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,C,k5_sheffer1(A,E,k5_sheffer1(A,B,k5_sheffer1(A,B,B))))) ) ) ) ) ) )).
fof(t159_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(A,B),C) = k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),B),A) ) ) ) )).
fof(t159_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(1,B) ) => r1_xxreal_0(1,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t159_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( r1_xxreal_0(A,C) => ( r1_xxreal_0(D,B) | k3_xboole_0(k4_xxreal_1(C,D),k3_xxreal_1(A,B)) = k3_xxreal_1(C,B) ) ) ) ) ) ) )).
fof(t159_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( E != C => ( k7_zf_lang(E,A) = k6_zf_lang1(k7_zf_lang(E,B),C,D) <=> A = k6_zf_lang1(B,C,D) ) ) ) ) ) ) ) )).
fof(t159_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => k1_binop_1(k12_zmodul01(A),k2_xcmplx_0(C,D),B) = k3_rlvect_1(A,k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,B),k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,B)) ) ) ) ) )).
fof(t15_abcmiz_0,axiom,( ! [A] : ( ( ~ v4_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_abcmiz_0(A,B) = a_2_1_abcmiz_0(A,B) ) ) )).
fof(t15_abcmiz_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( ( k1_funct_1(A,k5_numbers) = a_0_0_abcmiz_1 & ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,k1_nat_1(B,1)) = a_2_0_abcmiz_1(A,B) ) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) ) => ? [C] : ( m1_subset_1(C,k4_ordinal1) & r1_tarski(B,k1_funct_1(A,C)) ) ) ) ) )).
fof(t15_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k20_abcmiz_1) => r2_tarski(B,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))),k1_xfamily(k1_xfamily(k1_funct_1(B,k1_xboole_0))))) ) ) ) )).
fof(t15_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,B,C) & r4_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t15_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( k1_absvalue(A) = k4_xcmplx_0(1) & r1_xxreal_0(k5_numbers,A) ) ) )).
fof(t15_aescip_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,128) & ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(B,k2_finseq_1(4)) & r2_tarski(C,k2_finseq_1(4)) & r1_xxreal_0(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(B,1),8)),k2_nat_1(k7_nat_d(C,1),32)),A) & r1_xxreal_0(A,k1_nat_1(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(B,1),8)),k2_nat_1(k7_nat_d(C,1),32)),7)) ) ) ) ) ) )).
fof(t15_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(B,k2_aff_1(A,B,C)) & r2_tarski(C,k2_aff_1(A,B,C)) ) ) ) ) )).
fof(t15_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v11_aff_2(A) => v13_aff_2(A) ) ) )).
fof(t15_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r5_aff_1(A,B,C) => k1_aff_4(A,B,C) = C ) ) ) ) )).
fof(t15_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ( k1_afinsq_1(A) = k5_numbers <=> A = k1_xboole_0 ) ) )).
fof(t15_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,k1_afinsq_1(A)) ) => k3_afinsq_2(A,B,C) = k5_relat_1(k2_afinsq_2(A,k7_nat_d(B,1)),k7_nat_d(k1_nat_1(C,1),B)) ) ) ) ) )).
fof(t15_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( r2_tarski(B,k8_afproj(A)) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k6_afproj(A,C) & v1_aff_4(C,A) ) ) ) )).
fof(t15_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_afvect0(A,B,C) & r2_analoaf(A,B,C,D,E) ) => r1_afvect0(A,D,E) ) ) ) ) ) ) )).
fof(t15_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) => k2_relset_1(u1_struct_0(B),C) = u1_struct_0(k1_alg_1(A,B,C)) ) ) ) ) )).
fof(t15_algspec1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,k9_xtuple_0(B)) => k1_algspec1(A,B) = k5_relat_1(B,A) ) ) )).
fof(t15_algstr_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v1_group_6(C,A,B) => k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k9_algstr_4(A,D))) = u1_struct_0(k9_algstr_4(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D))) ) ) ) ) ) )).
fof(t15_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v1_funct_1(k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,C,D)) & v1_funct_2(k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,C,D),k2_zfmisc_1(k1_altcat_1(A,C,D),k1_altcat_1(A,B,C)),k1_altcat_1(A,B,D)) & m1_subset_1(k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,C,D),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_altcat_1(A,C,D),k1_altcat_1(A,B,C)),k1_altcat_1(A,B,D)))) ) ) ) ) ) )).
fof(t15_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v5_altcat_1(k3_altcat_2(A),u1_struct_0(A),k2_altcat_2(A)) & v4_altcat_1(k3_altcat_2(A),u1_struct_0(A),k2_altcat_2(A)) ) ) )).
fof(t15_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,B) != k1_xboole_0 & ? [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) & v1_altcat_3(D,A,B,C) & ~ v5_altcat_3(D,A,B,C) ) ) ) ) ) )).
fof(t15_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( ( v11_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v17_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v2_funct_1(k7_functor0(A,B,C,E,D)) ) ) ) ) ) ) )).
fof(t15_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( m2_subset_1(B,k1_ami_2,k2_ami_2) => ! [C] : ( v1_int_1(C) => k1_funct_1(k7_ami_2(A,B,C),B) = C ) ) ) )).
fof(t15_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ( A = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) => v2_extpro_1(A,k5_card_1(2),k1_ami_3) ) ) )).
fof(t15_ami_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ~ ( k5_compos_0(u1_compos_1(k1_ami_3),A) = 8 & ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k9_ami_3(B,C) ) ) ) ) )).
fof(t15_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k1_amistd_1(k5_card_1(2),k1_ami_3,A,k7_ami_3(B)) = k1_tarski(B) ) ) )).
fof(t15_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => C != k5_ami_wstd(A,B,C) ) ) ) )).
fof(t15_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( ~ ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k1_funct_1(k2_extpro_1(A,B,C,D),k4_struct_0(B)) = k5_memstr_0(A,B,D) ) => r2_tarski(k4_struct_0(B),k2_amistd_4(A,B,C)) ) ) ) ) )).
fof(t15_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v3_amistd_5(B,A) & v4_amistd_5(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) & v4_extpro_1(D,A,B,C) ) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(D)) => r2_tarski(k5_memstr_0(A,B,D),k9_xtuple_0(C)) ) ) ) ) ) )).
fof(t15_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,D),k1_domain_1(u1_struct_0(A),u1_struct_0(A),C,E)),k1_diraf(u1_struct_0(A),k1_analoaf(A))) <=> ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & k1_rlvect_1(A,k5_algstr_0(A,D,B),F) = k1_rlvect_1(A,k5_algstr_0(A,E,C),G) & ~ ( F = k5_numbers & G = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(t15_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k5_algstr_0(A,C,B) = k5_algstr_0(A,E,D) => r1_analoaf(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t15_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_analmetr(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_analort(A,C,D,E) != B ) ) ) ) ) ) )).
fof(t15_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r2_anproj_1(A,D,E,F) & r2_anproj_1(A,D,E,B) & r2_anproj_1(A,E,F,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r2_anproj_1(A,D,F,G) & r2_anproj_1(A,B,C,G) & ~ v9_struct_0(G,A) ) ) ) ) ) ) ) ) ) )).
fof(t15_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ~ ( A = k8_domain_1(A,B,C,D) & B != C & B != D & C != D & ! [E] : ( m2_funct_2(E,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [F] : ( m2_funct_2(F,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [G] : ( m2_funct_2(G,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ~ ( ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ( k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(H,E)),k1_funct_1(k7_funcsdom(A),k4_tarski(I,F))),k1_funct_1(k7_funcsdom(A),k4_tarski(J,G))) = k8_funcsdom(A) => ( H = k5_numbers & I = k5_numbers & J = k5_numbers ) ) ) ) ) & ! [H] : ( m2_funct_2(H,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [I] : ( v1_xreal_0(I) & ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & H = k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(I,E)),k1_funct_1(k7_funcsdom(A),k4_tarski(J,F))),k1_funct_1(k7_funcsdom(A),k4_tarski(K,G))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ( ( r2_hidden(B,A) & r2_hidden(C,A) & r2_hidden(D,A) & r2_hidden(E,A) & r2_hidden(F,A) & r2_hidden(G,A) & r2_hidden(H,A) & r2_hidden(I,A) & r2_hidden(J,A) & r2_hidden(K,A) ) => r1_tarski(k8_enumset1(B,C,D,E,F,G,H,I,J,K),A) ) )).
fof(t15_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v19_aofa_a00(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k10_subset_1(k1_funct_1(u7_aofa_a00(A),5),u4_struct_0(A)) => ( k1_msualg_1(A,C) = k1_xboole_0 & k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(t15_aofa_i00,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) => ( r2_funct_2(k9_funct_2(A,k4_numbers),k4_numbers,k16_aofa_i00(k9_funct_2(A,k4_numbers),B,k25_aofa_i00(A,k5_numbers)),B) & r2_funct_2(k9_funct_2(A,k4_numbers),k4_numbers,k22_valued_1(k9_funct_2(A,k4_numbers),k4_numbers,k4_numbers,B,k25_aofa_i00(A,1)),B) ) ) ) )).
fof(t15_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( l3_msualg_1(D,B) => ! [E] : ( l3_msualg_1(E,B) => ( ( g3_msualg_1(B,u3_msualg_1(B,D),u4_msualg_1(B,D)) = g3_msualg_1(B,u3_msualg_1(B,E),u4_msualg_1(B,E)) & v15_aofa_l00(D,A,B,C) ) => v15_aofa_l00(E,A,B,C) ) ) ) ) ) ) )).
fof(t15_armstrng,axiom,( ! [A] : k1_relset_1(k4_armstrng(A),k7_armstrng(A)) = k8_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A)) )).
fof(t15_arrow,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_funct_2(B,k3_arrow(A)),k2_arrow(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B,k3_arrow(A)),k2_arrow(A)))) ) => ~ ( ! [D] : ( m2_funct_2(D,B,k3_arrow(A),k9_funct_2(B,k3_arrow(A))) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ~ ( ! [G] : ( m1_subset_1(G,B) => ~ r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),D,G),F,E) ) & r1_arrow(k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,D),F,E) ) ) ) ) & ! [D] : ( m2_funct_2(D,B,k3_arrow(A),k9_funct_2(B,k3_arrow(A))) => ! [E] : ( m2_funct_2(E,B,k3_arrow(A),k9_funct_2(B,k3_arrow(A))) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ! [H] : ( m1_subset_1(H,B) => ( ~ ( ~ r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),D,H),G,F) & r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),E,H),G,F) ) & ~ ( ~ r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),E,H),G,F) & r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),D,H),G,F) ) ) ) => ( ~ ( ~ r1_arrow(k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,D),G,F) & r1_arrow(k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,E),G,F) ) & ~ ( ~ r1_arrow(k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,E),G,F) & r1_arrow(k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,D),G,F) ) ) ) ) ) ) ) & r1_xxreal_0(3,k4_card_1(A)) & ! [D] : ( m1_subset_1(D,B) => ~ ! [E] : ( m2_funct_2(E,B,k3_arrow(A),k9_funct_2(B,k3_arrow(A))) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ( ~ ( ~ r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),E,D),G,F) & r1_arrow(k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,E),G,F) ) & ~ ( ~ r1_arrow(k3_funct_2(k9_funct_2(B,k3_arrow(A)),k2_arrow(A),C,E),G,F) & r1_arrow(k1_arrow(B,k2_arrow(A),k3_arrow(A),E,D),G,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => k2_arytm_0(k3_arytm_0(A),B) = k3_arytm_0(k2_arytm_0(A,B)) ) ) )).
fof(t15_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(B,A) & r1_arytm_2(B,C) ) => k7_arytm_2(k1_arytm_1(C,B),A) = k7_arytm_2(k1_arytm_1(A,B),C) ) ) ) ) )).
fof(t15_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( A = k12_arytm_3 => k8_arytm_2(A,B) = B ) ) ) )).
fof(t15_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( k3_arytm_3(A,B) = k1_xboole_0 => A = k1_xboole_0 ) ) ) )).
fof(t15_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) => ( r1_xxreal_0(k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)),k5_numbers) | k6_asympt_0(A) = k6_asympt_0(B) ) ) ) ) )).
fof(t15_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_tarski(A,k6_asympt_0(k3_asympt_1(1))) => r2_tarski(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,A),k6_asympt_0(k3_asympt_1(2))) ) ) )).
fof(t15_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,C) => ! [F] : ( m2_pboole(F,A,C,D) => ( ( v2_msualg_3(E,A,B,C) & v2_msualg_3(F,A,C,D) ) => v2_msualg_3(k3_msualg_3(A,B,C,D,E,F),A,B,D) ) ) ) ) ) ) )).
fof(t15_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => m2_funct_2(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) ) )).
fof(t15_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ( k3_bagorder(A,B) = k5_numbers <=> B = k16_pre_poly(A) ) ) ) )).
fof(t15_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( v1_ballot_1(E,C,A,D,B) & r1_xxreal_0(A,B) ) ) ) ) )).
fof(t15_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_bcialg_1(B,k1_bcialg_1(B,C,D),D) = k1_bcialg_1(B,k1_bcialg_1(B,C,E),k1_bcialg_1(B,D,E)) ) ) ) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t15_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_2(A,k4_struct_0(A),B,D),C)) = k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,C)) ) ) ) ) )).
fof(t15_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v5_bcialg_3(A) & l2_bcialg_1(A) ) => v4_bcialg_3(A) ) ) )).
fof(t15_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_bcialg_1(A,k1_bcialg_1(A,B,C),D) <=> r1_bcialg_1(A,B,k1_bcialg_4(A,C,D)) ) ) ) ) ) )).
fof(t15_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_bcialg_5(E,A,B,C,D) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => m1_bcialg_5(E,A,k1_nat_1(B,F),k1_nat_1(C,F),D) ) ) ) ) ) ) )).
fof(t15_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k5_bcialg_1(A)) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_6(A,k6_bcialg_1(A,B,C),D) = k1_bcialg_1(A,k2_bcialg_6(A,B,D),k2_bcialg_6(A,C,D)) ) ) ) ) )).
fof(t15_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( m1_bciideal(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,C,D),E),B) => r2_tarski(k1_bcialg_1(A,C,k1_bcialg_1(A,D,E)),B) ) ) ) ) ) ) ) )).
fof(t15_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_bhsp_1(A,B,k4_struct_0(A)) = k5_numbers ) ) )).
fof(t15_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(C,A) => k1_bhsp_2(A,k4_normsp_1(A,C,B)) = k1_rlvect_1(A,k1_bhsp_2(A,C),B) ) ) ) ) )).
fof(t15_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_3(B,A) & r1_bhsp_3(A,B,C) ) => v1_bhsp_3(C,A) ) ) ) ) )).
fof(t15_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_bhsp_4(A,B,k5_numbers) = k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k5_numbers) ) ) )).
fof(t15_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => r2_funct_2(u1_struct_0(C),u1_struct_0(A),k7_bilinear(A,B,C,k3_bilinear(A,B,C,D,E),F),k6_hahnban1(A,C,E,k7_bilinear(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(t15_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A,1),k2_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C)))),k16_funcop_1(k4_ordinal1,k4_binari_2(k1_nat_1(A,1),k3_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C))),k1_binari_2(k1_nat_1(A,1))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))) = k4_xcmplx_0(k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C)))) ) ) ) )).
fof(t15_binarith,axiom,( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ( A = k14_trees_3(k6_margrel1) => k6_binarith(1,A) = k5_numbers ) ) )).
fof(t15_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_algstr_1(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k5_binom(A,B,k2_xcmplx_0(C,D)) = k1_algstr_0(A,k5_binom(A,B,C),k5_binom(A,B,D)) ) ) ) ) )).
fof(t15_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(C,A) => ( r6_binop_1(A,C,B) <=> r5_binop_1(A,C,B) ) ) ) ) ) )).
fof(t15_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k1_funct_1(k2_bintree2(A,B),1) = k5_euclid(B) ) ) )).
fof(t15_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_boolealg(A,B,k1_boolealg(A,C,D)) => r3_boolealg(A,B,C) ) ) ) ) ) )).
fof(t15_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ( ! [E] : ( r2_tarski(E,D) => ( r1_tarski(E,C) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & E = k3_borsuk_1(A,B,F,G) ) ) ) ) => r1_tarski(k3_borsuk_1(A,B,k5_setfam_1(u1_struct_0(A),k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),D)),k6_setfam_1(u1_struct_0(B),k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B)),k9_borsuk_1(A,B),D))),C) ) ) ) ) ) )).
fof(t15_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) & v5_pre_topc(D,k5_topmetr,A) & k1_funct_1(D,k5_numbers) = B & k1_funct_1(D,1) = C ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ~ ( v5_pre_topc(D,k5_topmetr,A) & k1_funct_1(D,k5_numbers) = C & k1_funct_1(D,1) = B ) ) ) ) ) ) )).
fof(t15_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_pre_topc(C,A) => m1_pre_topc(k2_borsuk_1(B,C),k2_borsuk_1(B,A)) ) ) ) )).
fof(t15_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = k3_rcomp_1(B,C) => ( r1_xxreal_0(C,B) | k2_pre_topc(k5_topmetr,A) = k1_rcomp_1(B,C) ) ) ) ) ) )).
fof(t15_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( A = k3_numbers => k2_pre_topc(k3_topmetr,A) = u1_struct_0(k3_topmetr) ) ) )).
fof(t15_borsuk_6,axiom,( v4_pre_topc(a_0_0_borsuk_6,k15_euclid(2)) & m1_subset_1(a_0_0_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(t15_borsuk_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ~ ( B != k5_euclid(A) & k30_valued_1(B) = k5_euclid(A) ) ) ) )).
fof(t15_brouwer,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v3_xxreal_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_brouwer(2,B,A)),u1_struct_0(k2_brouwer(2,B,A))) & v5_pre_topc(C,k2_brouwer(2,B,A),k2_brouwer(2,B,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_brouwer(2,B,A)),u1_struct_0(k2_brouwer(2,B,A))))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(k2_brouwer(2,B,A))) & k3_funct_2(u1_struct_0(k2_brouwer(2,B,A)),u1_struct_0(k2_brouwer(2,B,A)),C,D) = D ) ) ) ) )).
fof(t15_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(G,k5_numbers) & ? [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(A))) & ? [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(B))) & r1_t_0topsp(k1_pre_topc(C,D),k1_pre_topc(k15_euclid(A),k1_topreal9(A,H,F))) & r1_t_0topsp(k1_pre_topc(C,E),k2_brouwer(B,I,G)) & ~ r1_xboole_0(k1_tops_1(C,D),k1_tops_1(C,E)) & A != B ) ) ) ) ) ) ) ) ) ) )).
fof(t15_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,A) => k3_bspace(k5_subset_1(A,B,C),D) = k3_rlvect_1(k2_bspace,k3_bspace(B,D),k3_bspace(C,D)) ) ) ) )).
fof(t15_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E)),k7_bvfunc_2(A,k1_bvfunc_1(A,k6_bvfunc_2(A,B,C,E)),C,D)) ) ) ) ) ) ) )).
fof(t15_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ! [G] : ! [H] : ! [I] : ! [J] : ( F = k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(C,H),k17_funcop_1(D,I)),k17_funcop_1(E,J)),k17_funcop_1(B,G)) => ( B = C | B = D | B = E | C = D | C = E | D = E | ( k1_funct_1(F,C) = H & k1_funct_1(F,D) = I & k1_funct_1(F,E) = J ) ) ) ) ) ) ) ) ) )).
fof(t15_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k15_margrel1(A,k5_bvfunc_1(A,B,C),k5_bvfunc_1(A,k14_margrel1(A,B),k14_margrel1(A,C))),k5_bvfunc_1(A,k15_margrel1(A,k14_margrel1(A,B),C),k15_margrel1(A,B,k14_margrel1(A,C)))) ) ) ) )).
fof(t15_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( ( r1_bvfunc_1(A,B,C) & r1_bvfunc_1(A,C,B) ) => r2_funct_2(A,k5_margrel1,B,C) ) & ( ( r1_bvfunc_1(A,B,C) & r1_bvfunc_1(A,C,D) ) => r1_bvfunc_1(A,B,D) ) ) ) ) ) ) )).
fof(t15_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k7_bvfunc_2(A,k2_bvfunc_1(A,B,C),D,E),k2_bvfunc_1(A,k7_bvfunc_2(A,B,D,E),k7_bvfunc_2(A,C,D,E))) ) ) ) ) ) )).
fof(t15_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E),k9_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t15_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,D,E),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,k10_bvfunc_1(A,B,D),k10_bvfunc_1(A,C,E)),k12_bvfunc_1(A)) ) ) ) ) ) ) )).
fof(t15_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,C,k9_bvfunc_1(A,B,C)),k12_bvfunc_1(A)) ) ) ) )).
fof(t15_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,B,C),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,C),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t15_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k4_struct_0(k7_c0sp1(A)) = k8_funcop_1(k4_ordinal1,A,k5_numbers) ) )).
fof(t15_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_c0sp2(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( E = B & F = C & G = D ) => ( D = k3_rlvect_1(k5_c0sp2(A),B,C) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,G,H) = k3_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,E,H),k3_funct_2(u1_struct_0(A),k1_numbers,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ( r1_calcul_1(k1_calcul_1(k3_cqc_lang(A),B),k2_calcul_1(A,B)) => r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),B),k2_calcul_1(A,B)) ) ) ) )).
fof(t15_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => k1_relset_1(k4_ordinal1,k5_relset_1(k4_ordinal1,k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,B),k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)))) = k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)) ) ) ) )).
fof(t15_cantor_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => v2_pre_topc(g1_pre_topc(A,k1_cantor_1(A,k2_cantor_1(A,B)))) ) ) )).
fof(t15_card_1,axiom,( ! [A] : r2_tarski(k1_xboole_0,k2_card_1(A)) )).
fof(t15_card_2,axiom,( ! [A] : ! [B] : ( r2_wellord2(k2_xboole_0(k2_zfmisc_1(A,k1_tarski(k5_numbers)),k2_zfmisc_1(B,k1_tarski(1))),k2_xboole_0(k2_zfmisc_1(B,k1_tarski(k5_numbers)),k2_zfmisc_1(A,k1_tarski(1)))) & k1_card_1(k2_xboole_0(k2_zfmisc_1(A,k1_tarski(k5_numbers)),k2_zfmisc_1(B,k1_tarski(1)))) = k1_card_1(k2_xboole_0(k2_zfmisc_1(B,k1_tarski(k5_numbers)),k2_zfmisc_1(A,k1_tarski(1)))) ) )).
fof(t15_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k5_card_3(A,k2_tarski(B,C)) = k2_tarski(k1_funct_1(B,A),k1_funct_1(C,A)) ) ) )).
fof(t15_card_4,axiom,( ! [A] : ( v1_card_1(A) => ( ~ v1_finset_1(A) => k2_card_2(A,A) = A ) ) )).
fof(t15_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( r2_tarski(B,k3_card_fil(A)) <=> m1_card_fil(B,A) ) ) )).
fof(t15_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ~ ( D != E & ~ r2_hidden(C,A) & k4_card_1(k1_card_fin(k2_xboole_0(A,k1_tarski(C)),k1_nat_1(B,1),D,E)) != k1_nat_1(k4_card_1(k1_card_fin(A,k1_nat_1(B,1),D,E)),k4_card_1(k1_card_fin(A,B,D,E))) ) ) ) )).
fof(t15_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v3_card_lar(B,A) => v1_card_lar(B,A) ) ) ) )).
fof(t15_cardfin2,axiom,( ! [A] : ( v1_finset_1(A) => k8_nat_1(k4_numbers,k3_cardfin2,k4_card_1(A)) = k4_card_1(k2_cardfin2(A)) ) )).
fof(t15_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k3_graph_1(A,C) = k4_graph_1(A,B) <=> r2_hidden(k4_tarski(C,B),k9_xtuple_0(u1_cat_1(A))) ) ) ) ) )).
fof(t15_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k8_cat_1(B,A,k5_cat_2(A,B),C) = C ) ) ) )).
fof(t15_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ! [F] : ( m1_subset_1(F,u4_struct_0(C)) => ( A != B => r2_funct_2(k2_tarski(A,B),u4_struct_0(C),k7_cat_3(C,k2_tarski(A,B),k5_funct_4(u4_struct_0(C),A,B,E,F),D),k5_funct_4(u4_struct_0(C),A,B,k1_cat_1(C,E,D),k1_cat_1(C,F,D))) ) ) ) ) ) )).
fof(t15_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k3_graph_1(A,k6_cat_4(A,B)) = B & k4_graph_1(A,k6_cat_4(A,B)) = k1_cat_4(A) ) ) ) )).
fof(t15_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ( r1_tarski(u4_struct_0(A),u4_struct_0(B)) => m3_cat_2(A,B) ) ) ) )).
fof(t15_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v8_cat_6(A) <=> v8_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) )).
fof(t15_cat_7,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ( ( r2_cat_6(A,B) & v2_struct_0(A) ) => v2_struct_0(B) ) ) ) )).
fof(t15_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(k1_catalan1(k1_nat_1(A,1)),k1_catalan1(A)) ) ) )).
fof(t15_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ~ ( r1_tarski(k2_relset_1(k4_ordinal1,A),k7_domain_1(k4_ordinal1,k5_numbers,1)) & ~ v1_catalan2(A) & ! [B] : ( v7_ordinal1(B) => ~ ( k1_nat_1(k3_xcmplx_0(2,B),1) = k3_nat_1(a_1_1_catalan2(A)) & r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,B),1),k1_relset_1(k4_ordinal1,A)) & B = k7_afinsq_2(k5_relat_1(A,k3_xcmplx_0(2,B))) & k1_recdef_1(A,k3_xcmplx_0(2,B)) = 1 ) ) ) ) )).
fof(t15_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_catalg_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ? [D] : ( m1_subset_1(D,A) & ? [E] : ( m1_subset_1(E,A) & C = k9_catalg_1(A,D,E) ) ) ) ) ) )).
fof(t15_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v9_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) => ( v9_algstr_0(B,A) & v9_algstr_0(C,A) ) ) ) ) ) )).
fof(t15_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_cc0sp1(A)) & v13_algstr_0(k7_cc0sp1(A)) & v2_rlvect_1(k7_cc0sp1(A)) & v3_rlvect_1(k7_cc0sp1(A)) & v4_rlvect_1(k7_cc0sp1(A)) & v1_vectsp_1(k7_cc0sp1(A)) & v3_vectsp_1(k7_cc0sp1(A)) & v3_group_1(k7_cc0sp1(A)) & v5_group_1(k7_cc0sp1(A)) & v2_clvect_1(k7_cc0sp1(A)) & v3_clvect_1(k7_cc0sp1(A)) & v4_clvect_1(k7_cc0sp1(A)) & v2_cfuncdom(k7_cc0sp1(A)) & l1_cfuncdom(k7_cc0sp1(A)) ) ) )).
fof(t15_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v2_cfuncdom(A) & l1_cfuncdom(A) ) => ! [B] : ( m1_cc0sp1(B,A) => ! [C] : ( m1_cc0sp1(C,A) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => m1_cc0sp1(B,C) ) ) ) ) )).
fof(t15_cfcont_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_partfun1(C,k2_numbers) => r2_relset_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,B,k25_valued_1(k2_numbers,k2_numbers,C,A)),k25_valued_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,B,C),A)) ) ) ) ) )).
fof(t15_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v6_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_numbers)) ) => ( r2_cfdiff_1(A,B) <=> ( r1_tarski(B,k1_relset_1(k2_numbers,A)) & ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,B) => r1_cfdiff_1(A,C) ) ) ) ) ) ) )).
fof(t15_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [C] : ( m2_funct_2(C,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [D] : ( m2_funct_2(D,A,k2_numbers,k9_funct_2(A,k2_numbers)) => r2_funct_2(A,k2_numbers,k1_funcsdom(A,k2_numbers,k2_cfuncdom(A),B,k1_funcsdom(A,k2_numbers,k1_cfuncdom(A),C,D)),k1_funcsdom(A,k2_numbers,k1_cfuncdom(A),k1_funcsdom(A,k2_numbers,k2_cfuncdom(A),B,C),k1_funcsdom(A,k2_numbers,k2_cfuncdom(A),B,D))) ) ) ) ) )).
fof(t15_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,k2_valued_1(A,k2_numbers,k2_numbers,B,C),D),k2_valued_1(A,k2_numbers,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,B,D),k19_valued_1(A,k2_numbers,k2_numbers,C,D))) ) ) ) ) )).
fof(t15_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ! [B] : ( v2_cgames_1(B) => ( ( r2_tarski(B,k6_cgames_1(A)) | r2_tarski(B,k7_cgames_1(A)) ) => r2_tarski(k9_cgames_1(B),k9_cgames_1(A)) ) ) ) )).
fof(t15_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & r2_hidden(B,A) & r2_hidden(C,A) & ~ r1_xxreal_0(B,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => ( r1_xxreal_0(C,D) & r1_xxreal_0(D,B) ) ) ) ) ) ) )).
fof(t15_chord,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k10_xtuple_0(A))) ) => ? [C] : ( r2_tarski(C,B) & ! [D] : ( r2_tarski(D,B) => r1_xxreal_0(k4_finseq_4(A,C),k4_finseq_4(A,D)) ) ) ) ) )).
fof(t15_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(A,D))) => ( ( H = k5_relat_1(G,u1_struct_0(A)) & v1_circuit2(H,A,D) ) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(B,E))) => ( I = k5_relat_1(G,u1_struct_0(B)) => k5_relat_1(k6_circuit2(C,F,G),u1_struct_0(B)) = k6_circuit2(B,E,I) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( A = k5_circcomb(C,B) => k3_circcmb3(A) = k4_tarski(B,C) ) ) ) )).
fof(t15_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( C = k2_circcomb(A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,k3_msafree2(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( D = E => ( r2_tarski(E,k3_msafree2(C)) & k4_msafree2(C,E) = k4_msafree2(B,D) ) ) ) ) ) ) ) ) ) )).
fof(t15_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => k1_convex1(A,k2_circled1(A,B),C) = k2_circled1(A,k1_convex1(A,B,C)) ) ) ) )).
fof(t15_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m3_msaterm(D,A,B) => ! [E] : ( m1_subset_1(E,u4_struct_0(k1_circtrm1(A,B,D))) => k5_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)) = k3_circtrm1(A,B,D,E,C) ) ) ) ) ) )).
fof(t15_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ r1_xxreal_0(k4_circuit1(A,B,C),k5_numbers) ) ) ) )).
fof(t15_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( v3_funct_1(k9_funct_6(C)) & v1_circuit2(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),E),A,B) ) => ( v1_xboole_0(k2_msafree2(A)) | ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(E,F) => r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),E),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),F)) ) ) ) ) ) ) ) ) ) )).
fof(t15_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( v1_pdiff_7(C,A) & B = k7_funcop_1(C,D) & r1_xxreal_0(1,E) & r1_xxreal_0(E,A) ) => ( r3_pdiff_9(A,C,E,B) & r1_pdiff_9(A,C,k3_pdiff_9(A,C,E,B)) ) ) ) ) ) ) ) )).
fof(t15_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => r1_tarski(k3_classes1(A,B),k3_classes1(A,k1_ordinal1(B))) ) )).
fof(t15_classes2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ( v2_classes1(B) & r2_tarski(A,k1_card_1(B)) ) => r2_tarski(A,B) ) ) )).
fof(t15_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_clopban1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_clopban1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k6_clopban1(A,B))) => ( E = k3_rlvect_1(k6_clopban1(A,B),C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k7_clopban1(A,B,E,F) = k3_rlvect_1(B,k7_clopban1(A,B,C,F),k7_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t15_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_clopban2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_clopban2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_clopban2(A))) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ( k1_algstr_0(k8_clopban2(A),B,C) = k1_algstr_0(k8_clopban2(A),C,B) & k1_algstr_0(k8_clopban2(A),k1_algstr_0(k8_clopban2(A),B,C),D) = k1_algstr_0(k8_clopban2(A),B,k1_algstr_0(k8_clopban2(A),C,D)) & k1_algstr_0(k8_clopban2(A),B,k4_struct_0(k8_clopban2(A))) = B & v10_algstr_0(B,k8_clopban2(A)) & k6_algstr_0(k8_clopban2(A),k6_algstr_0(k8_clopban2(A),B,C),D) = k6_algstr_0(k8_clopban2(A),B,k6_algstr_0(k8_clopban2(A),C,D)) & k6_algstr_0(k8_clopban2(A),B,k5_struct_0(k8_clopban2(A))) = B & k6_algstr_0(k8_clopban2(A),k5_struct_0(k8_clopban2(A)),B) = B & k6_algstr_0(k8_clopban2(A),B,k1_algstr_0(k8_clopban2(A),C,D)) = k1_algstr_0(k8_clopban2(A),k6_algstr_0(k8_clopban2(A),B,C),k6_algstr_0(k8_clopban2(A),B,D)) & k6_algstr_0(k8_clopban2(A),k1_algstr_0(k8_clopban2(A),C,D),B) = k1_algstr_0(k8_clopban2(A),k6_algstr_0(k8_clopban2(A),C,B),k6_algstr_0(k8_clopban2(A),D,B)) & k1_clvect_1(k8_clopban2(A),k6_algstr_0(k8_clopban2(A),B,C),E) = k6_algstr_0(k8_clopban2(A),k1_clvect_1(k8_clopban2(A),B,E),C) & k1_clvect_1(k8_clopban2(A),k1_algstr_0(k8_clopban2(A),B,C),E) = k1_algstr_0(k8_clopban2(A),k1_clvect_1(k8_clopban2(A),B,E),k1_clvect_1(k8_clopban2(A),C,E)) & k1_clvect_1(k8_clopban2(A),B,k2_xcmplx_0(E,F)) = k1_algstr_0(k8_clopban2(A),k1_clvect_1(k8_clopban2(A),B,E),k1_clvect_1(k8_clopban2(A),B,F)) & k1_clvect_1(k8_clopban2(A),B,k3_xcmplx_0(E,F)) = k1_clvect_1(k8_clopban2(A),k1_clvect_1(k8_clopban2(A),B,F),E) & k1_clvect_1(k8_clopban2(A),k6_algstr_0(k8_clopban2(A),B,C),k3_xcmplx_0(E,F)) = k6_algstr_0(k8_clopban2(A),k1_clvect_1(k8_clopban2(A),B,E),k1_clvect_1(k8_clopban2(A),C,F)) ) ) ) ) ) ) ) )).
fof(t15_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_normsp_1(A,k1_bhsp_4(A,B),k1_bhsp_4(A,C)),k1_bhsp_4(A,k1_normsp_1(A,B,C))) ) ) ) )).
fof(t15_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_normsp_0(A,k1_bhsp_4(A,C),B) = k3_rlvect_1(A,k1_normsp_0(A,k1_bhsp_4(A,k4_lopban_4(A,C)),B),k1_normsp_0(A,C,B)) ) ) ) )).
fof(t15_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v4_closure1(k2_msualg_3(A,k5_mssubfam(A,B)),A,B) & m2_pboole(k2_msualg_3(A,k5_mssubfam(A,B)),A,k5_mssubfam(A,B),k5_mssubfam(A,B)) ) ) )).
fof(t15_closure2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k9_xtuple_0(k3_closure2(k1_tarski(A))) = k9_xtuple_0(A) ) )).
fof(t15_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xcmplx_0(D) => k1_clvect_1(A,k4_rlvect_1(A,k2_finseq_4(u1_struct_0(A),C,B)),D) = k3_rlvect_1(A,k1_clvect_1(A,C,D),k1_clvect_1(A,B,D)) ) ) ) ) )).
fof(t15_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(C,A) => k1_clvect_2(A,k6_clvect_1(A,C,B)) = k1_clvect_1(A,k1_clvect_2(A,C),B) ) ) ) ) )).
fof(t15_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_clvect_3(A,B,k5_numbers) = k1_normsp_0(A,B,k5_numbers) ) ) )).
fof(t15_coh_sp,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_coh_sp(A,B) = k3_toler_1(A,B) ) )).
fof(t15_cohsp_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( r1_cohsp_1(A,A) => ( v1_cohsp_1(A) & v2_cohsp_1(A) ) ) ) )).
fof(t15_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m2_collsp(D,A) => ~ ( r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) ) )).
fof(t15_combgras,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ( ( r1_xxreal_0(2,A) & r1_ordinal1(k1_nat_1(A,2),k1_card_1(B)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(k1_combgras(A,B)))) => ~ ( v2_combgras(C,k1_combgras(A,B)) & ~ v3_combgras(C,A,B) & ~ v4_combgras(C,A,B) ) ) ) ) ) )).
fof(t15_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_topmetr(A,B)))) => ( C = D => ( v6_tbsp_1(D,k1_topmetr(A,B)) <=> v6_tbsp_1(C,A) ) ) ) ) ) ) )).
fof(t15_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ( k3_complex1(A) = k5_numbers & k3_complex1(B) = k5_numbers ) => ( k3_complex1(k3_xcmplx_0(A,B)) = k1_real_1(k4_real_1(k4_complex1(A),k4_complex1(B))) & k4_complex1(k3_xcmplx_0(A,B)) = k5_numbers ) ) ) ) )).
fof(t15_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k1_comptrig(A) = k5_numbers <=> A = k9_complex1(A) ) ) )).
fof(t15_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ~ ( B != k4_struct_0(k1_complfld) & ( k8_group_1(k1_complfld,A,B) = k5_struct_0(k1_complfld) | k8_group_1(k1_complfld,B,A) = k5_struct_0(k1_complfld) ) & A != k9_algstr_0(k1_complfld,B) ) ) ) )).
fof(t15_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( v1_xcmplx_0(B) => k4_finseq_1(k10_seq_4(A,B)) = k4_finseq_1(A) ) ) )).
fof(t15_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => ! [D] : ( ( v6_compos_0(D,u1_compos_1(A)) & m1_subset_1(D,u1_compos_1(A)) ) => ! [E] : ( ( v6_compos_0(E,u1_compos_1(A)) & m1_subset_1(E,u1_compos_1(A)) ) => ! [F] : ( ( v6_compos_0(F,u1_compos_1(A)) & m1_subset_1(F,u1_compos_1(A)) ) => k4_card_1(k2_compos_2(A,k2_compos_2(A,k2_compos_2(A,k3_compos_2(A,B,C),D),E),F)) = 6 ) ) ) ) ) ) )).
fof(t15_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r2_hidden(A,k2_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos))) & r1_xxreal_0(k1_funct_1(k18_sin_cos,A),k5_numbers) ) ) )).
fof(t15_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ( ( v5_pre_topc(D,A,C) & k2_relset_1(u1_struct_0(C),D) = k2_struct_0(C) & v2_compts_1(B,A) ) => v2_compts_1(k7_relset_1(u1_struct_0(A),u1_struct_0(C),D,B),C) ) ) ) ) ) )).
fof(t15_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_comput_1(C) & m1_rfunct_3(C,A,B) ) => ( v1_funct_1(k3_tarski(C)) & m1_subset_1(k3_tarski(C),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) )).
fof(t15_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,C,A),k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,C,B)),k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,C,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B))) ) ) ) )).
fof(t15_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,k1_series_1(k1_numbers,k7_comseq_3(A),k7_comseq_3(B)),k7_comseq_3(k1_series_1(k2_numbers,A,B))) & r2_funct_2(k4_ordinal1,k1_numbers,k1_series_1(k1_numbers,k8_comseq_3(A),k8_comseq_3(B)),k8_comseq_3(k1_series_1(k2_numbers,A,B))) ) ) ) )).
fof(t15_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k4_subset_1(u1_struct_0(A),B,C)) = k9_subset_1(u4_struct_0(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),C)) ) ) ) )).
fof(t15_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => r1_filter_1(k11_conlat_1(k6_conlat_2(A)),A) ) )).
fof(t15_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v3_conaffm(A) => v1_conmetr(A) ) ) )).
fof(t15_conmetr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v11_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) <=> v8_conmetr(A) ) ) )).
fof(t15_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_connsp_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B = k4_subset_1(u1_struct_0(A),C,D) & r1_connsp_1(A,C,D) & C != k1_struct_0(A) & D != k1_struct_0(A) ) ) ) ) ) ) )).
fof(t15_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_connsp_1(B,A) => v3_pre_topc(B,A) ) ) ) ) )).
fof(t15_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_connsp_1(B,A) & r2_tarski(C,B) ) => k1_connsp_1(A,C) = k1_connsp_3(A,B) ) ) ) ) )).
fof(t15_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v1_convex1(C,A) ) ) => v1_convex1(k6_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t15_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != C => ! [D] : ( m2_convex4(D,A,k7_domain_1(u1_struct_0(A),B,C)) => k4_convex4(A,D) = k3_rlvect_1(A,k1_clvect_1(A,B,k3_funct_2(u1_struct_0(A),k2_numbers,D,B)),k1_clvect_1(A,C,k3_funct_2(u1_struct_0(A),k2_numbers,D,C))) ) ) ) ) ) )).
fof(t15_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => k13_cqc_lang(A,k5_cqc_lang(A),B) = k5_cqc_lang(A) ) ) )).
fof(t15_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) ) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,B)) => k7_cqc_sim1(A,k4_cqc_lang(B,A,D,C)) = k5_numbers ) ) ) ) )).
fof(t15_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => v1_cqc_the1(k1_cqc_the1(A,B),A) ) ) )).
fof(t15_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A,B,k12_cqc_lang(A,C,B)),A) ) ) ) )).
fof(t15_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( r3_cqc_the3(A,B) <=> r2_cqc_the3(A,k1_subset_1(k3_cqc_lang(A)),B) ) ) ) )).
fof(t15_csspace,axiom,( u1_struct_0(k5_csspace) = k1_csspace & ! [A] : ( m1_subset_1(A,u1_struct_0(k5_csspace)) <=> ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k5_csspace)) => A = k2_csspace(A) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k5_csspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_csspace)) => k3_rlvect_1(k5_csspace,A,B) = k1_series_1(k2_numbers,k2_csspace(A),k2_csspace(B)) ) ) & ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_csspace)) => k1_clvect_1(k5_csspace,B,A) = k25_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B),A) ) ) )).
fof(t15_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),A)),k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),A))) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_comseq_2(B),A)),k9_complex1(k6_xcmplx_0(k3_comseq_2(B),A))) ) ) ) ) ) ) )).
fof(t15_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_csspace4(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k1_funct_1(k8_csspace4(A,B),C) = k2_seq_4(k7_csspace4(A,B,C)) ) ) ) )).
fof(t15_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( v1_dblseq_1(A) & v1_dblseq_1(B) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(k1_binop_1(A,C,D),k1_binop_1(B,C,D)) ) ) ) => r1_xxreal_0(k1_dblseq_1(A),k1_dblseq_1(B)) ) ) ) )).
fof(t15_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v1_dblseq_1(k4_dblseq_2(A)) => ( v1_dblseq_1(A) & k1_dblseq_1(A) = k5_numbers ) ) ) )).
fof(t15_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_decomp_1(A),k19_decomp_1(A)) = k8_decomp_1(A) ) )).
fof(t15_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k8_descip_1(A,B,k4_xcmplx_0(1)) = k7_descip_1(B) ) ) ) )).
fof(t15_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( v1_wellfnd1(A) => v1_wellfnd1(k5_dickson(A)) ) ) )).
fof(t15_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),B),k1_nat_1(A,1)),C) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(D,B),k1_nat_1(A,1)),C),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(E,B),k1_nat_1(A,1)),C)) ) ) ) ) ) )).
fof(t15_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_numbers,k1_numbers) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k2_diff_2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,G,H),A,B,C,D,E,F) = k2_xcmplx_0(k2_diff_2(G,A,B,C,D,E,F),k2_diff_2(H,A,B,C,D,E,F)) ) ) ) ) ) ) ) ) )).
fof(t15_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,F,C),k26_valued_1(k1_numbers,k1_numbers,G,D)),B),k2_xcmplx_0(A,1)),E) = k6_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(F,B),k2_xcmplx_0(A,1)),E)),k3_xcmplx_0(D,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(G,B),k2_xcmplx_0(A,1)),E))) ) ) ) ) ) ) ) )).
fof(t15_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k1_fdiff_9)) & r2_tarski(k2_xcmplx_0(B,A),k1_relset_1(k1_numbers,k1_fdiff_9)) ) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_fdiff_9),A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2,B),A))),k17_sin_cos(A)),k1_square_1(k2_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2,B),A)),k19_sin_cos(A)))) ) ) ) )).
fof(t15_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v2_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ! [E] : ( ( r2_tarski(D,C) & r2_tarski(E,C) & r2_tarski(D,B) & r2_tarski(E,B) ) => D = E ) ) ) ) )).
fof(t15_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != C & r1_diraf(A,B,C,D) & r1_diraf(A,B,C,E) & ~ r1_diraf(A,C,D,E) & ~ r1_diraf(A,C,E,D) ) ) ) ) ) ) )).
fof(t15_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ( v4_dirort(A) => v3_dirort(A) ) ) )).
fof(t15_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => k16_rvsum_1(k9_dist_1(A,B)) = k3_xcmplx_0(k3_finseq_1(B),k18_rvsum_1(k4_dist_1(A,B))) ) ) )).
fof(t15_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ? [E] : ( m1_subset_1(E,k1_zfmisc_1(k4_finseq_1(k9_dist_1(A,C)))) & E = k3_dist_2(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,k19_finseq_1(A),D)) & k4_card_1(k3_dist_2(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,C,D))) = k16_rvsum_1(k5_dist_2(k4_ordinal1,k9_dist_1(A,C),E)) ) ) ) ) ) )).
fof(t15_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) => ( A = k6_mcart_1(B,C,D,E,F) <=> ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,C) => ! [I] : ( m1_subset_1(I,D) => ! [J] : ( m1_subset_1(J,E) => ( F = k5_domain_1(B,C,D,E,G,H,I,J) => A = I ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_dtconstr,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => k16_dtconstr(k5_dtconstr,A) = k8_finseq_1(k4_ordinal1,k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(A)),1),k3_pre_poly(k4_ordinal1,k5_numbers)) ) )).
fof(t15_dualsp01,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( v2_comseq_2(A) => ( v2_comseq_2(k10_dualsp01(A,B)) & k1_seq_2(k10_dualsp01(A,B)) = k6_xcmplx_0(k1_seq_2(A),B) ) ) ) ) )).
fof(t15_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k17_dualsp01(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_dualsp01(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,k3_dualsp02))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k16_lopban_1(A,k3_dualsp02))) => ( ( B = D & C = E ) => k3_rlvect_1(k17_dualsp01(A),B,C) = k3_rlvect_1(k16_lopban_1(A,k3_dualsp02),D,E) ) ) ) ) ) ) )).
fof(t15_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( m1_dynkin(B,A) & v2_finsub_1(B) ) => ! [C] : ( v1_finset_1(C) => ( r1_tarski(C,B) => r2_tarski(k3_tarski(C),B) ) ) ) ) ) )).
fof(t15_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k3_relat_1(u1_e_siec(A),k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(u2_e_siec(A),k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 ) ) )).
fof(t15_ec_pf_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) ) => k3_rlvect_1(k9_int_3(C),D,E) = k5_int_1(k2_xcmplx_0(A,B),C) ) ) ) ) ) ) )).
fof(t15_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,k3_rlvect_1(A,B,C),k5_algstr_0(A,B,C)) = k5_algstr_0(A,k2_binom(A,B,2),k2_binom(A,C,2)) ) ) ) )).
fof(t15_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_endalg(A)),u1_struct_0(k6_endalg(k6_msualg_1(A),k9_msualg_1(A)))) & v6_group_1(B,k3_endalg(A),k6_endalg(k6_msualg_1(A),k9_msualg_1(A))) & v1_group_6(B,k3_endalg(A),k6_endalg(k6_msualg_1(A),k9_msualg_1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_endalg(A)),u1_struct_0(k6_endalg(k6_msualg_1(A),k9_msualg_1(A)))))) ) => ( ! [C] : ( r2_hidden(C,k1_endalg(A)) => k1_funct_1(B,C) = k17_funcop_1(k5_numbers,C) ) => v3_funct_2(B,u1_struct_0(k3_endalg(A)),u1_struct_0(k6_endalg(k6_msualg_1(A),k9_msualg_1(A)))) ) ) ) )).
fof(t15_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( C = k1_xboole_0 => B = k1_xboole_0 ) => r2_tarski(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,C)),k1_domain_1(A,A,B,C),D),k7_ens_1(A,B,C)) ) ) ) ) ) )).
fof(t15_entropy1,axiom,( ! [A] : ( ( v1_matrprob(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) & k1_funct_1(A,B) = 1 ) => r1_entropy1(A,B) ) ) ) )).
fof(t15_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F)) )).
fof(t15_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_relset_1(A,A,k5_eqrel_1(A,B,C),k5_eqrel_1(A,C,B)) ) ) )).
fof(t15_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => r6_pboole(A,k9_pboole(A,B,k2_msualg_3(A,B)),B) ) )).
fof(t15_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k6_xcmplx_0(k12_euclid(B),k12_euclid(C)),k12_euclid(k8_euclid(A,B,C))) ) ) ) )).
fof(t15_euclid10,axiom,( k17_sin_cos(k7_xcmplx_0(k28_sin_cos,3)) = k7_xcmplx_0(k3_square_1(3),2) )).
fof(t15_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => r1_xxreal_0(k9_complex1(k22_rvsum_1(A,B)),k3_xcmplx_0(k12_euclid(A),k12_euclid(B))) ) ) ) )).
fof(t15_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k2_euclid_3(k5_algstr_0(k15_euclid(2),A,B)) = k6_xcmplx_0(k2_euclid_3(A),k2_euclid_3(B)) ) ) )).
fof(t15_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => k12_euclid(B) = k3_square_1(k22_rvsum_1(B,B)) ) ) )).
fof(t15_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => k5_euclid_5(k4_euclid_5(A,C,E),k4_euclid_5(B,D,F)) = k4_euclid_5(k6_xcmplx_0(k3_xcmplx_0(C,F),k3_xcmplx_0(E,D)),k6_xcmplx_0(k3_xcmplx_0(E,B),k3_xcmplx_0(A,F)),k6_xcmplx_0(k3_xcmplx_0(A,D),k3_xcmplx_0(C,B))) ) ) ) ) ) ) )).
fof(t15_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(E,k1_rltopsp1(k15_euclid(2),A,C)) & r2_tarski(E,k1_rltopsp1(k15_euclid(2),B,D)) ) => ( E = A | E = B | E = C | E = D | k4_euclid_3(A,E,B) = k4_euclid_3(C,E,D) ) ) ) ) ) ) ) )).
fof(t15_euclid_7,axiom,( ! [A] : ( v1_euclid_7(A) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v3_valued_0(C) ) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => ( B = C | r1_rvsum_1(B,C) ) ) ) ) ) )).
fof(t15_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ~ ( A != k5_numbers & r2_tarski(D,k4_euclid_9(A,C,B)) & r1_xxreal_0(k3_xcmplx_0(A,k1_square_1(B)),k18_rvsum_1(k12_rvsum_1(k8_rvsum_1(D,C)))) ) ) ) ) ) )).
fof(t15_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(D)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(D)) => k8_euclid(D,E,k9_euclid(D,F,k2_xcmplx_0(k2_xcmplx_0(A,B),C))) = k7_euclid(D,k7_euclid(D,k7_euclid(D,E,k9_euclid(D,F,k4_xcmplx_0(A))),k9_euclid(D,F,k4_xcmplx_0(B))),k9_euclid(D,F,k4_xcmplx_0(C))) ) ) ) ) ) ) )).
fof(t15_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( ( v1_euclmetr(A) & v3_euclmetr(A) ) => v2_euclmetr(A) ) ) )).
fof(t15_euler_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r1_xxreal_0(k5_numbers,A) => ( B = k5_numbers | k3_int_2(k3_xcmplx_0(A,B),k3_xcmplx_0(A,C)) = k3_xcmplx_0(A,k3_int_2(B,C)) ) ) ) ) ) )).
fof(t15_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => k2_euler_2(k8_finseq_1(k4_ordinal1,B,C),A) = k8_finseq_1(k4_ordinal1,k2_euler_2(B,A),k2_euler_2(C,A)) ) ) ) )).
fof(t15_exchsort,axiom,( k1_exchsort(k1_xboole_0) = k5_numbers & k2_exchsort(k1_xboole_0) = k5_numbers & k3_exchsort(k1_xboole_0) = k5_numbers )).
fof(t15_extens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r2_msualg_3(A,B,C,D) => ! [E] : ( ( v4_msualg_1(E,A) & l3_msualg_1(E,A) ) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,E)) => ! [G] : ( m2_pboole(G,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,E)) => ( r8_pboole(u1_struct_0(A),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),u3_msualg_1(A,E),D,F),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),u3_msualg_1(A,E),D,G)) => r8_pboole(u1_struct_0(A),F,G) ) ) ) ) ) ) ) ) ) )).
fof(t15_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & ~ v2_compos_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_finset_1(D) ) => ( m1_extpro_1(D,A,B,C) <=> r2_extpro_1(A,B,C,D,k17_funcop_1(k1_xboole_0,k1_xboole_0)) ) ) ) ) ) )).
fof(t15_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ~ ( A != k5_numbers & r1_xxreal_0(k3_extreal1(A),k5_numbers) ) ) )).
fof(t15_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => k5_facirc_1(A,B,C,2) = k6_circuit2(A,B,k6_circuit2(A,B,C)) ) ) ) )).
fof(t15_facirc_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => k6_facirc_2(k1_nat_1(B,1),A,C,D) = k12_facirc_1(k1_funct_1(C,k1_nat_1(B,1)),k1_funct_1(D,k1_nat_1(B,1)),k5_facirc_2(B,C,D)) ) ) ) ) ) )).
fof(t15_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,A),A)) ) ) )).
fof(t15_fcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,A) & r1_tarski(k1_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) ) => ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,k4_subset_1(k1_numbers,k1_rcomp_1(k1_funct_1(C,B),k1_funct_1(C,A)),k1_rcomp_1(k1_funct_1(C,A),k1_funct_1(C,B)))) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,k1_rcomp_1(B,A)) & D = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(t15_fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_rfunct_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k7_relset_1(k1_numbers,k1_numbers,B,A) != k2_rcomp_1(C,D) ) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t15_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_fdiff_1(C,A) => ( r1_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A) & k1_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,C,B),A) = k3_xcmplx_0(B,k1_fdiff_1(C,A)) ) ) ) ) ) )).
fof(t15_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),A),B) = k6_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t15_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k18_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k18_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k1_sin_cos9,B)),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t15_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_fdiff_1(B,A) => ( k1_funct_1(B,A) = k5_numbers | ( r1_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,B),A) & k1_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,B),A) = k4_xcmplx_0(k7_xcmplx_0(k1_fdiff_1(B,A),k1_square_1(k1_funct_1(B,A)))) ) ) ) ) ) )).
fof(t15_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( ( r3_fdiff_3(A,B) & k2_fdiff_3(B,A) = C ) => ( ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k1_rcomp_1(B,k2_xcmplx_0(B,D)),k1_relset_1(k1_numbers,A)) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v9_ordinal1(D) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k10_xtuple_0(E) = k1_tarski(B) & r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),k1_relset_1(k1_numbers,A)) & ! [F] : ( v7_ordinal1(F) => ~ r1_xxreal_0(k1_funct_1(D,F),k5_numbers) ) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,A)))) & k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,A)))) = C ) ) ) ) ) ) & ( ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v9_ordinal1(D) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k10_xtuple_0(E) = k1_tarski(B) & r1_tarski(k10_xtuple_0(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),k1_relset_1(k1_numbers,A)) & ! [F] : ( v7_ordinal1(F) => ~ r1_xxreal_0(k1_funct_1(D,F),k5_numbers) ) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,A)))) & k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),A),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,A)))) = C ) ) ) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k1_rcomp_1(B,k2_xcmplx_0(B,D)),k1_relset_1(k1_numbers,A)) ) ) | ( r3_fdiff_3(A,B) & k2_fdiff_3(B,A) = C ) ) ) ) ) ) ) )).
fof(t15_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,C),k4_xcmplx_0(1)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k2_xcmplx_0(A,D) & k1_funct_1(C,D) != k5_numbers ) ) ) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,C),k4_xcmplx_0(1)),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,C),k4_xcmplx_0(1)),B),D) = k7_xcmplx_0(1,k1_square_1(k2_xcmplx_0(A,D))) ) ) ) ) ) ) ) )).
fof(t15_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => ( k1_funct_1(B,D) = k6_xcmplx_0(k4_xcmplx_0(D),1) & k1_funct_1(C,D) = k4_xcmplx_0(D) ) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),A),D) = k7_xcmplx_0(D,k23_sin_cos(D)) ) ) ) ) ) ) ) )).
fof(t15_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k3_sin_cos6))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => ( k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(A,E),B) & ~ r1_xxreal_0(k1_funct_1(D,E),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(D,E)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k3_sin_cos6),C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k3_sin_cos6),C),E) = k4_xcmplx_0(k7_xcmplx_0(A,k3_square_1(k6_xcmplx_0(1,k1_square_1(k2_xcmplx_0(k3_xcmplx_0(A,E),B)))))) ) ) ) ) ) ) ) ) )).
fof(t15_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(B,k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k3_taylor_1,B)))))) ) ) ) ) ) )).
fof(t15_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_fdiff_9))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_fdiff_9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos,k1_funct_1(k3_taylor_1,B)),k3_xcmplx_0(B,k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k3_taylor_1,B)))))) ) ) ) ) ) )).
fof(t15_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k2_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u4_struct_0(A)) & k2_relat_1(k5_relat_1(k1_net_1(A),u4_struct_0(A))) = k5_relat_1(k2_relat_1(k1_net_1(A)),u1_struct_0(A)) ) ) )).
fof(t15_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,A) & ~ ( v1_relat_1(k2_tarski(k4_tarski(A,C),k4_tarski(B,D))) & v1_funct_1(k2_tarski(k4_tarski(A,C),k4_tarski(B,D))) & v2_finseq_1(k2_tarski(k4_tarski(A,C),k4_tarski(B,D))) ) ) ) ) )).
fof(t15_fib_num3,axiom,( k1_fib_num3(3) = 4 )).
fof(t15_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,2) => r1_xxreal_0(k4_xcmplx_0(k7_xcmplx_0(1,k3_square_1(5))),k2_power(k2_fib_num,A)) ) ) )).
fof(t15_filerec1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_finseq_1(E,D) => ( E = k11_finseq_1(A,B,C) => k2_rfinseq(D,1,E) = k10_finseq_1(B,C) ) ) ) )).
fof(t15_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_filter_0(A,B)) <=> r3_lattices(A,B,C) ) ) ) ) )).
fof(t15_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_lattices(k4_filter_1(A,B),k5_filter_1(A,B,C),k5_filter_1(A,B,D)) = k5_filter_1(A,B,k3_lattices(A,C,D)) & k4_lattices(k4_filter_1(A,B),k5_filter_1(A,B,C),k5_filter_1(A,B,D)) = k5_filter_1(A,B,k4_lattices(A,C,D)) ) ) ) ) ) )).
fof(t15_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) => ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t15_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_fin_topo(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( m2_finseq_1(D,k9_setfam_1(u1_struct_0(A))) => ~ ( ~ r1_xxreal_0(k3_finseq_1(D),k5_numbers) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,1) = k6_domain_1(u1_struct_0(A),C) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(k3_finseq_1(D),E) & k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,k1_nat_1(E,1)) != k9_subset_1(u1_struct_0(A),k9_fin_topo(A,k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,E)),B) ) ) & r1_tarski(B,k7_partfun1(k9_setfam_1(u1_struct_0(A)),D,k3_finseq_1(D))) ) ) ) ) ) ) ) )).
fof(t15_finance1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_finance1(A,k1_numbers,B,k12_prob_1,C) => ( r1_mesfunc6(A,B,C,k4_prob_1(A,B)) & m1_random_1(C,A,B) ) ) ) ) ) )).
fof(t15_finance2,axiom,( m1_prob_1(k4_numbers,k1_numbers,k12_prob_1) )).
fof(t15_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_relat_1(k5_relat_1(B,k1_finseq_1(A))) & v1_funct_1(k5_relat_1(B,k1_finseq_1(A))) & v1_finseq_1(k5_relat_1(B,k1_finseq_1(A))) ) ) ) )).
fof(t15_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_hidden(A,k4_finseq_1(B)) => r2_hidden(A,k4_finseq_1(k7_finseq_1(B,C))) ) ) ) ) )).
fof(t15_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => k7_subset_1(k4_ordinal1,k2_finseq_1(k1_nat_1(A,1)),k2_finseq_1(A)) = k1_tarski(k1_nat_1(A,1)) ) )).
fof(t15_finseq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) ) => k7_partfun1(B,C,A) = k1_funct_1(C,A) ) ) ) )).
fof(t15_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k7_partfun1(A,k8_finseq_1(A,k12_finseq_1(A,B),C),1) = B ) ) ) )).
fof(t15_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( r2_tarski(C,k6_subset_1(k10_xtuple_0(B),k10_xtuple_0(A))) => k5_finseq_4(k7_finseq_1(A,B),C) = k7_finseq_1(A,k5_finseq_4(B,C)) ) ) ) )).
fof(t15_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k1_finseq_7(A,k3_finseq_4(A,B,C,D),1,E) = k3_finseq_4(A,E,C,D) ) ) ) ) ) )).
fof(t15_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( k3_finseq_1(k4_finseq_8(A,B,C)) = k6_xcmplx_0(k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)),k3_finseq_1(k3_finseq_8(A,B,C))) & k3_finseq_1(k4_finseq_8(A,B,C)) = k7_nat_d(k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)),k3_finseq_1(k3_finseq_8(A,B,C))) & k3_finseq_1(k4_finseq_8(A,B,C)) = k1_nat_1(k3_finseq_1(B),k7_nat_d(k3_finseq_1(C),k3_finseq_1(k3_finseq_8(A,B,C)))) ) ) ) ) )).
fof(t15_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( m2_finseq_1(G,A) => r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,E,k8_finseq_1(A,F,G),D),k8_finseq_1(C,k2_finseqop(A,B,C,E,F,D),k2_finseqop(A,B,C,E,G,D))) ) ) ) ) ) ) ) )).
fof(t15_finset_1,axiom,( ! [A] : ! [B] : ~ ( ~ v1_finset_1(B) & r2_tarski(B,k2_zfmisc_1(A,B)) ) )).
fof(t15_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(E,A) => k1_finsop_1(A,k3_finseq_4(A,B,C,D),E) = k1_finsop_1(A,k3_finseq_4(A,C,B,D),E) ) ) ) ) ) ) )).
fof(t15_finsub_1,axiom,( k5_finsub_1(k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(t15_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k5_fintopo2(A,B,C) = k7_margrel1 <=> B = C ) ) ) ) )).
fof(t15_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_fintopo3(A,B,1) = k9_fin_topo(A,B) ) ) )).
fof(t15_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r2_fintopo4(A,B,E,C) & r1_xxreal_0(C,D) ) => r2_fintopo4(A,B,E,D) ) ) ) ) ) ) )).
fof(t15_fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => v1_fin_topo(k5_fintopo5(A,B)) ) ) )).
fof(t15_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_fintopo6(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( ( C = E & D = F & r1_tarski(k4_subset_1(u1_struct_0(A),C,D),k2_struct_0(B)) & r1_fintopo4(A,C,D) ) => r1_fintopo4(B,E,F) ) ) ) ) ) ) ) )).
fof(t15_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ( r2_tarski(k2_flang_1(A),k6_flang_1(A,B,C)) <=> ( r2_tarski(k2_flang_1(A),B) & r2_tarski(k2_flang_1(A),C) ) ) ) ) )).
fof(t15_flang_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ~ ( r2_tarski(B,C) & B != k2_flang_1(A) & k8_flang_1(A,C) = k4_flang_1(A,k2_flang_1(A)) ) ) )).
fof(t15_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ( k1_flang_3(A,B,C) = k4_flang_1(A,k2_flang_1(A)) <=> ( B = k4_flang_1(A,k2_flang_1(A)) | ( C = k5_numbers & B = k1_xboole_0 ) ) ) ) ) )).
fof(t15_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_2(B,A,k3_finseq_2(A)) => ! [C] : ( m2_finseq_2(C,A,k3_finseq_2(A)) => k1_funct_1(k9_fomodel0(A),k10_finseq_1(B,C)) = k1_monoid_0(A,B,C) ) ) ) )).
fof(t15_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( m1_subset_1(B,k1_fomodel1(A)) => ~ ( B != k8_fomodel1(A) & B != k18_fomodel1(A) & ~ r2_tarski(B,k37_fomodel1(A)) ) ) ) )).
fof(t15_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_fomodel2(C,A,B) ) => ! [D] : ( ( v15_fomodel1(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),D) = k31_fomodel2(A) => ( k13_fomodel2(A,B,C,D) = 1 <=> k1_funct_1(k9_fomodel2(A,B,C),k1_funct_1(k34_fomodel1(A,D),1)) = k1_funct_1(k9_fomodel2(A,B,C),k1_funct_1(k34_fomodel1(A,D),2)) ) ) ) ) ) ) )).
fof(t15_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( v4_fomodel1(D,C) & m1_subset_1(D,k1_fomodel1(C)) ) => ! [E] : ( ( v1_partfun1(E,A) & v3_relat_2(E) & v8_relat_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [F] : ( ( v3_fomodel3(F,C,A,E) & m2_subset_1(F,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) ) => k34_fomodel2(C,k8_eqrel_1(A,E),k23_fomodel3(C,A,E,F),D,k3_funct_2(A,k8_eqrel_1(A,E),k17_fomodel3(A,E),B)) = k22_fomodel3(C,A,E,k34_fomodel2(C,A,F,D,B)) ) ) ) ) ) ) )).
fof(t15_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel4(B,k5_numbers,A) & v13_fomodel4(B,1,A) & m1_subset_1(B,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [C] : ( v11_fomodel4(C,A,B) => ! [D] : ( ( v15_fomodel1(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( k13_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,B,C)),k41_fomodel4(A,B,C),D) = 1 <=> r2_tarski(D,C) ) ) ) ) ) )).
fof(t15_frechet,axiom,( ! [A] : ! [B] : ! [C] : ( B != k1_xboole_0 => k10_xtuple_0(k1_funct_4(k6_partfun1(A),k7_funcop_1(B,C))) = k2_xboole_0(k6_subset_1(A,B),k1_tarski(C)) ) )).
fof(t15_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m2_valued_0(C,u1_struct_0(A),B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_frechet(A,B,D) => r1_frechet(A,C,D) ) ) ) ) ) )).
fof(t15_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ( ( E = k1_funct_1(D,B) & F = k1_funct_1(D,C) ) => k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(E,F) ) ) ) ) ) ) ) )).
fof(t15_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(A,C),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & k2_msafree2(k4_fscirc_1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t15_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_1(D,A,B) ) => ! [E] : ( ( ~ v2_struct_0(E) & l2_fsm_1(E,A,B) ) => ( ( r4_fsm_1(A,B,C,D) & r4_fsm_1(A,B,D,E) ) => r4_fsm_1(A,B,C,E) ) ) ) ) ) ) )).
fof(t15_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ( v3_fsm_2(B,A) & v1_fsm_2(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( E != u2_fsm_1(A,B) => k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,E,C)) = k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,E,D)) ) ) ) ) ) ) ) )).
fof(t15_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( ( ~ v2_struct_0(D) & l1_fsm_3(D,A,C) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) => ( r2_tarski(B,k3_fsm_3(A,C,D,E)) <=> ~ r1_xboole_0(E,k3_rewrite3(A,C,D,B,u1_fsm_3(A,C,D))) ) ) ) ) ) ) )).
fof(t15_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_hidden(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k24_gfacirc1(A,B,C),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k3_gfacirc1),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k2_twoscomp),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k3_facirc_1),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k21_gfacirc1(A,B,C),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k4_gfacirc1),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k36_gfacirc1(k24_gfacirc1(A,B,C),E,D),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k24_gfacirc1(A,B,C),E),k2_twoscomp),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(E,D),k3_gfacirc1),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp),k3_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(k33_gfacirc1(k24_gfacirc1(A,B,C),E,D),k3_msafree2(k7_ftacell1(A,B,C,D,E))) ) )).
fof(t15_funcop_1,axiom,( ! [A] : ! [B] : k8_relat_1(k2_funcop_1(A,B),k1_tarski(B)) = A )).
fof(t15_funcsdom,axiom,( ! [A] : ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k5_funcsdom(A),C,D)),k1_funcsdom(A,k1_numbers,k5_funcsdom(A),k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,C),k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,D))) ) ) ) )).
fof(t15_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k9_xtuple_0(k3_relat_1(A,B)) = k9_xtuple_0(A) => r1_tarski(k10_xtuple_0(A),k9_xtuple_0(B)) ) ) ) )).
fof(t15_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_hidden(C,A) => ( B = k1_xboole_0 | k1_funct_1(k3_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C)) ) ) ) ) )).
fof(t15_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r1_tarski(A,k1_zfmisc_1(B)) => k7_relat_1(D,k3_tarski(A)) = k3_tarski(k7_relat_1(k1_funct_3(D),A)) ) ) ) )).
fof(t15_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_partfun1(B,C) & r2_hidden(A,k9_xtuple_0(B)) ) => k1_funct_1(k1_funct_4(B,C),A) = k1_funct_1(B,A) ) ) ) )).
fof(t15_funct_5,axiom,( ! [A] : ( ( k9_xtuple_0(A) = k1_xboole_0 | k10_xtuple_0(A) = k1_xboole_0 ) => ! [B] : ! [C] : ~ r2_hidden(k4_tarski(B,C),A) ) )).
fof(t15_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k4_partfun1(A,k4_partfun1(B,C))) => ( r2_tarski(k2_funct_5(D),k4_partfun1(k2_zfmisc_1(A,B),C)) & r2_tarski(k4_funct_5(D),k4_partfun1(k2_zfmisc_1(B,A),C)) ) ) ) )).
fof(t15_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : k1_funct_4(k1_funct_4(A,k7_funcop_1(B,C)),k7_funcop_1(B,D)) = k1_funct_4(A,k7_funcop_1(B,D)) ) )).
fof(t15_funct_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_8(B) & m1_subset_1(B,k1_zfmisc_1(k2_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_funct_8(B,k1_numbers,k1_numbers,C) => r1_funct_8(B,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A)) ) ) ) ) )).
fof(t15_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) ) => ( ( v1_funct_9(C,A) & v1_funct_9(C,B) ) => ( k2_xcmplx_0(A,B) = k5_numbers | v1_funct_9(C,k2_xcmplx_0(A,B)) ) ) ) ) ) )).
fof(t15_functor0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)))) ) => ( r6_pboole(k2_zfmisc_1(A,A),D,k7_funcop_1(k2_zfmisc_1(A,A),k4_tarski(C,C))) => ( v1_functor0(D,A,B) & v2_functor0(D,A,B) ) ) ) ) ) )).
fof(t15_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( ( v10_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v18_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v2_funct_2(k5_functor0(A,B,C,D,E),k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E))) ) ) ) ) ) ) )).
fof(t15_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( ( v15_functor0(G,C,D) & m2_functor0(G,C,D) ) => ! [H] : ( ( v15_functor0(H,C,D) & m2_functor0(H,C,D) ) => ! [I] : ( m1_functor2(I,C,D,G,H) => ( r1_functor2(C,D,G,H) => r8_pboole(u1_struct_0(A),k6_functor3(A,B,D,k1_functor3(B,C,D,F,G),k1_functor3(B,C,D,F,H),E,k6_functor3(B,C,D,G,H,F,I)),k6_functor3(A,C,D,G,H,k1_functor3(A,B,C,E,F),I)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k1_fcont_1(k5_numbers,A),B) = A ) ) )).
fof(t15_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(B,k5_fuzzy_1(A)) ) ) )).
fof(t15_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_funct_2(A,k1_numbers,k1_fuzzy_2(A,B,k1_fuzzy_1(A,D,C)),k2_fuzzy_1(A,k1_fuzzy_2(A,B,D),k1_fuzzy_2(A,B,C))) ) ) ) ) )).
fof(t15_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => r1_fuzzy_1(k3_fuzzy_4(A,B,C,D,k1_fuzzy_1(k2_zfmisc_1(B,C),E,F)),k1_fuzzy_1(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,E),k3_fuzzy_4(A,B,C,D,F))) ) ) ) ) ) ) )).
fof(t15_fvaluat1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v1_realset2(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => k3_fvaluat1(C,D,k2_xcmplx_0(A,B)) = k8_group_1(C,k3_fvaluat1(C,D,A),k3_fvaluat1(C,D,B)) ) ) ) ) )).
fof(t15_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_algstr_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k5_finseqop(u1_struct_0(A),u1_algstr_0(A)),k4_vectsp_1(A)) ) )).
fof(t15_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( ~ v1_xboole_0(k9_gate_1(A,B,C)) & v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) ) & ~ ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) ) & v1_xboole_0(k9_gate_1(A,B,C)) ) ) )).
fof(t15_gaussint,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k11_gaussint)) => ! [B] : ( v1_rat_1(B) => ( B = A => ( A = k4_struct_0(k11_gaussint) | k9_algstr_0(k11_gaussint,A) = k5_xcmplx_0(B) ) ) ) ) )).
fof(t15_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_gcd_1(A,k8_group_1(A,B,C),k8_group_1(A,B,D)) => ( B = k4_struct_0(A) | r2_gcd_1(A,C,D) ) ) ) ) ) ) )).
fof(t15_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( k9_genealg1(D,E,F,k5_numbers,B,C) = k8_genealg1(D,F,E,B,C) & k9_genealg1(D,E,F,A,k5_numbers,C) = k8_genealg1(D,F,E,A,C) & k9_genealg1(D,E,F,A,B,k5_numbers) = k8_genealg1(D,F,E,A,B) ) ) ) ) ) ) ) )).
fof(t15_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => r2_geomtrap(A,D,E,B,B,C,C) ) ) ) ) ) ) )).
fof(t15_gfacirc1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ~ v1_facirc_1(k2_msafree2(k7_gfacirc1(A,B,C))) ) ) ) )).
fof(t15_gfacirc2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(E,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( v4_msualg_1(H,G) & l3_msualg_1(H,G) ) => ! [I] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & I = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k25_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(D,k1_nat_1(F,1)) = k3_circcomb(G,k25_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I),H,k26_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(E,k1_nat_1(F,1)) = k21_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k5_gfacirc2(F,A,B) = k1_funct_1(C,F) & k6_gfacirc2(F,A,B) = k1_funct_1(D,F) & k7_gfacirc2(F,A,B) = k1_funct_1(E,F) ) ) ) ) ) ) ) ) )).
fof(t15_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ~ ( r1_glib_000(A,C,E,B) & r1_glib_000(A,D,F,B) & ~ ( C = D & E = F ) & ~ ( C = F & E = D ) ) ) )).
fof(t15_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,C,D,B) => ( k3_glib_001(A,k2_glib_001(A,C,D,B)) = C & k4_glib_001(A,k2_glib_001(A,C,D,B)) = D & r1_glib_001(A,C,D,k2_glib_001(A,C,D,B)) ) ) ) )).
fof(t15_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & k1_glib_002(A,B) = k6_glib_000(A) ) => v1_glib_002(A) ) ) )).
fof(t15_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => k8_glib_003(A,k6_glib_001(A,B)) = k3_finseq_5(k8_glib_003(A,B)) ) ) )).
fof(t15_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) => ( ( k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k7_glib_004(A,B)))) = k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B))) => k6_glib_004(A,B) = k1_xboole_0 ) & ( k6_glib_004(A,B) = k1_xboole_0 => k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k7_glib_004(A,B)))) = k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B))) ) & ~ ( k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k7_glib_004(A,B)))) = k1_nat_1(k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B))),1) & k6_glib_004(A,B) = k1_xboole_0 ) & ( k6_glib_004(A,B) != k1_xboole_0 => k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k7_glib_004(A,B)))) = k1_nat_1(k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B))),1) ) ) ) ) )).
fof(t15_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : ! [E] : ( ( v5_glib_001(E,A) & m3_glib_001(E,A) ) => ( ( r1_glib_001(A,C,D,E) & r5_glib_005(A,B,E) ) => ( C = D | k2_xcmplx_0(k1_glib_005(A,B,C,D),k9_glib_005(A,B,E)) = k1_glib_005(A,k10_glib_005(A,B,E),C,D) ) ) ) ) ) )).
fof(t15_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(C,k2_finseq_1(k1_matrix_0(E))) & k1_matrix_0(E) = k1_nat_1(B,1) & r2_tarski(A,k4_finseq_1(E)) & r1_xxreal_0(1,D) ) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(C,D) | ( k3_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(C,u1_struct_0(k15_euclid(2)),E),A,D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,D) & r2_tarski(D,k2_finseq_1(k1_matrix_0(E))) ) ) ) ) ) ) ) ) )).
fof(t15_goboard2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k1_goboard1(B),A),k1_funct_1(k1_goboard1(B),C)) ) ) ) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,A),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1))) ) ) ) )).
fof(t15_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v2_goboard1(C) & v3_goboard1(C) & r1_xxreal_0(1,A) ) => ( v3_relat_1(C) | r1_xxreal_0(k1_matrix_0(C),B) | r1_xxreal_0(k3_finseq_1(C),A) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))),k2_goboard5(C,B)) ) ) ) ) ) )).
fof(t15_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k2_goboard5(A,k5_numbers)) = a_1_2_goboard6(A) ) )).
fof(t15_goboard7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))) ) ) ) ) )).
fof(t15_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,2))),k7_xcmplx_0(1,2)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,2))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t15_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_tops_1(k15_euclid(2),k5_goboard5(A,B)) = k1_xboole_0 ) ) ) )).
fof(t15_gobrd11,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( v1_xreal_0(B) => ( A = a_1_5_gobrd11(B) => v4_pre_topc(A,k15_euclid(2)) ) ) ) )).
fof(t15_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( ( ~ v3_relat_1(F) & v1_matrix_0(F) & v1_goboard1(F) & v2_goboard1(F) & v3_goboard1(F) & v4_goboard1(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,k1_nat_1(C,1)),k9_matrix_0(F)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(E)) & r1_xxreal_0(1,C) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(F)) & r1_xxreal_0(1,D) & k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,D) ) => ( r1_xxreal_0(k1_matrix_0(E),C) | r1_xxreal_0(k1_matrix_0(F),D) | r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,k1_nat_1(D,1))),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,k1_nat_1(C,1)))) ) ) ) ) ) ) ) ) )).
fof(t15_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k3_goboard9(A)),k2_goboard9(A)) = u1_struct_0(k15_euclid(2)) ) )).
fof(t15_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m1_henmodel(C,A,B) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( k7_cqc_sim1(A,D) = 1 & v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),D,C,k3_henmodel(A)) <=> r1_henmodel(A,B,D) ) ) ) ) ) ) )).
fof(t15_gr_cy_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_gr_cy_1)) => k2_group_1(k2_gr_cy_1,A) = k4_xcmplx_0(A) ) )).
fof(t15_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => r2_group_6(k4_gr_cy_1(k7_group_1(A)),A) ) )).
fof(t15_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v1_gr_cy_3(A) ) => ? [B] : ( v7_ordinal1(B) & v1_int_2(B) & v2_gr_cy_3(B) & ? [C] : ( v15_algstr_0(C) & m1_group_2(C,k3_int_7(A)) & ? [D] : ( v15_algstr_0(D) & m1_group_2(D,k3_int_7(A)) & ? [E] : ( v15_algstr_0(E) & m1_group_2(E,k3_int_7(A)) & ? [F] : ( v15_algstr_0(F) & m1_group_2(F,k3_int_7(A)) & k7_group_1(C) = 1 & k7_group_1(D) = 2 & k7_group_1(E) = B & k7_group_1(F) = k3_xcmplx_0(2,B) & ! [G] : ( ( v15_algstr_0(G) & m1_group_2(G,k3_int_7(A)) ) => ~ ( ~ r1_group_2(k3_int_7(A),G,C) & ~ r1_group_2(k3_int_7(A),G,D) & ~ r1_group_2(k3_int_7(A),G,E) & ~ r1_group_2(k3_int_7(A),G,F) ) ) ) ) ) ) ) ) )).
fof(t15_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_graph_1(B) & m3_graph_1(B,A) ) => ! [C] : ( ( v1_graph_1(C) & m3_graph_1(C,A) ) => ( ( u1_struct_0(B) = u1_struct_0(C) & u4_struct_0(B) = u4_struct_0(C) ) => B = C ) ) ) ) )).
fof(t15_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(B),C) | k1_funct_1(k3_graph_2(A,B),k2_xcmplx_0(k3_finseq_1(A),C)) = k1_funct_1(B,k1_nat_1(C,1)) ) ) ) ) ) )).
fof(t15_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_graph_1(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( r1_graph_2(A,C,B) & r2_tarski(D,k10_xtuple_0(B)) ) => ( r2_tarski(k1_funct_1(u2_graph_1(A),D),k10_xtuple_0(C)) & r2_tarski(k1_funct_1(u1_graph_1(A),D),k10_xtuple_0(C)) ) ) ) ) ) )).
fof(t15_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( ( v7_graph_1(E,A) & m2_graph_1(E,A) ) => ! [F] : ( ( v7_graph_1(F,A) & m2_graph_1(F,A) ) => ! [G] : ( ( v7_graph_1(G,A) & m2_graph_1(G,A) ) => ( ( r3_graph_4(A,C,F) & r3_graph_4(A,D,G) & k1_funct_1(C,k3_finseq_1(C)) = k1_funct_1(D,1) & E = k8_finseq_1(u4_struct_0(A),F,G) & B = k4_graph_2(u1_struct_0(A),C,D) ) => r3_graph_4(A,B,E) ) ) ) ) ) ) ) ) )).
fof(t15_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ( k3_finseq_1(B) = 1 => ( v7_graph_1(B,A) & v1_graph_4(B,A) & m2_graph_1(B,A) ) ) ) ) )).
fof(t15_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v2_graph_1(C) & v6_graph_1(C) & l1_graph_1(C) ) => ! [D] : ( ( v7_graph_1(D,C) & m2_graph_1(D,C) ) => ! [E] : ( ( v7_graph_1(E,C) & m2_graph_1(E,C) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u4_struct_0(C),k8_graph_5) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),k8_graph_5))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ( ( r2_tarski(B,u4_struct_0(C)) & r8_graph_5(C,G,H,D,A,F) & E = k7_finseq_1(D,k9_finseq_1(B)) & r1_graph_4(C,H,I,B) & r2_tarski(G,A) & ! [J] : ( m1_subset_1(J,u1_struct_0(C)) => ( r2_tarski(J,A) => ! [K] : ~ ( r2_tarski(K,u4_struct_0(C)) & r1_graph_4(C,J,I,K) ) ) ) ) => ( G = I | r8_graph_5(C,G,I,E,k2_xboole_0(A,k1_tarski(H)),F) ) ) ) ) ) ) ) ) ) )).
fof(t15_grcat_1,axiom,( ! [A] : ( ( v1_grcat_1(A) & v2_grcat_1(A) & l1_grcat_1(A) ) => ? [B] : ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) & ? [C] : ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) & m1_grcat_1(A,B,C) & A = g1_grcat_1(B,C,D) & v13_vectsp_1(D,B,C) ) ) ) ) )).
fof(t15_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_hidden(A,k9_xtuple_0(C)) & D = k2_xboole_0(B,C) ) => k1_funct_1(D,A) = k1_funct_1(C,A) ) ) ) ) )).
fof(t15_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ( v1_group_3(B,A) & m1_group_2(B,A) ) <=> m1_group_6(k1_grnilp_1(A,B,k7_group_2(A)),A,B) ) ) ) )).
fof(t15_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( v8_rewrite1(k3_polyred(A,B,C,D)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(E,k7_ideal_1(k12_polynom1(A,C),D)) => r1_rewrite1(k3_polyred(A,B,C,D),E,k8_polynom1(A,C)) ) ) ) ) ) ) ) )).
fof(t15_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r8_pboole(k15_pre_poly(A),k5_polynom7(A,B,k5_polynom1(A,B,C,D),E),k5_polynom1(A,B,k5_polynom7(A,B,C,E),k5_polynom7(A,B,D,E))) ) ) ) ) ) )).
fof(t15_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k7_polynom1(A,C,D,k6_termord(A,B,C,D)),k5_termord(A,B,C,D)) ) ) ) ) )).
fof(t15_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,B,D) = C ) ) ) ) )).
fof(t15_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ~ ( A = k3_xcmplx_0(k1_newton(D,C),B) & ~ r1_nat_d(D,B) & k4_nat_d(k4_newton(k1_newton(D,C),A),D) = k5_numbers ) ) ) ) ) )).
fof(t15_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r1_xboole_0(k13_group_2(A,C,D),B) => r2_tarski(D,k2_group_11(A,B,C)) ) ) ) ) ) )).
fof(t15_group_14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))))) & v2_funct_1(C) & v2_funct_2(C,k2_zfmisc_1(A,k4_card_3(k9_finseq_1(B)))) & ! [D] : ! [E] : ( ( r2_tarski(D,A) & r2_tarski(E,B) ) => k1_binop_1(C,D,E) = k4_tarski(D,k9_finseq_1(E)) ) ) ) ) )).
fof(t15_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v8_struct_0(C) & m1_group_2(C,A) ) => ( u1_struct_0(C) = a_2_0_group_17(A,B) => ! [D] : ( ( v7_ordinal1(D) & v1_int_2(D) ) => ~ ( r2_tarski(D,k22_pre_poly(k8_newton,k13_nat_3(k7_group_1(C)))) & r1_int_2(D,B) ) ) ) ) ) ) )).
fof(t15_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,u1_struct_0(C))) & v1_funct_2(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,u1_struct_0(C)),u1_struct_0(C),u1_struct_0(B)) & v1_group_6(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,u1_struct_0(C)),C,B) & m1_subset_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,u1_struct_0(C)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) ) ) ) ) )).
fof(t15_group_19,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_group_19(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( k4_group_19(A,B,C) = k1_xboole_0 => k5_group_19(A,B,C) = k1_group_1(B) ) ) ) )).
fof(t15_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_group_2(A,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D),k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D))) ) ) ) ) )).
fof(t15_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v8_struct_0(A) => v1_finset_1(k1_group_3(A)) ) ) )).
fof(t15_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( C = k1_partfun1(k4_finseq_1(B),k4_finseq_1(B),k4_ordinal1,u1_struct_0(A),D,B) => k3_group_4(A,B) = k3_group_4(A,C) ) ) ) ) ) ) )).
fof(t15_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,k4_numbers) => k4_group_4(A,D,k1_group_5(A,C,B)) = k1_group_5(A,k4_group_4(A,D,C),B) ) ) ) ) )).
fof(t15_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( r2_tarski(B,k15_group_2(A,C)) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t15_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ( v1_relat_1(k9_finseq_1(A)) & v4_relat_1(k9_finseq_1(A),k1_tarski(1)) & v1_funct_1(k9_finseq_1(A)) & v1_partfun1(k9_finseq_1(A),k1_tarski(1)) & v1_group_7(k9_finseq_1(A)) & v2_group_7(k9_finseq_1(A),k1_tarski(1)) & v3_group_7(k9_finseq_1(A),k1_tarski(1)) & v4_group_7(k9_finseq_1(A),k1_tarski(1)) ) ) )).
fof(t15_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,k5_group_2(A,C,k4_group_2(A,B,E))) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & D = k6_algstr_0(A,k6_algstr_0(A,B,F),C) & r2_tarski(F,E) ) ) ) ) ) ) ) )).
fof(t15_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => k4_group_9(A,B) = k4_group_9(A,C) ) ) )).
fof(t15_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( v2_group_10(C,A) & r1_struct_0(C,D) ) => v1_groupp_1(D,A,B) ) ) ) ) ) )).
fof(t15_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ( ( v15_algstr_0(D) & v1_group_3(D,E) & m1_group_6(D,A,E) ) => ( v15_algstr_0(k2_grsolv_1(A,B,C,D)) & v1_group_3(k2_grsolv_1(A,B,C,D),k2_grsolv_1(A,B,C,E)) & m1_group_6(k2_grsolv_1(A,B,C,D),B,k2_grsolv_1(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(t15_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,D) & r1_gtarski1(A,B,C,E) & r2_gtarski1(A,C,D,C,E) ) => ( B = C | D = E ) ) ) ) ) ) ) )).
fof(t15_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [E] : ( m1_rlsub_1(E,k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))) => ( ( B = D & C = E ) => ( r1_struct_0(C,B) | ! [F] : ( m1_subset_1(F,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ? [G] : ( m1_subset_1(G,u1_struct_0(C)) & ? [H] : ( v1_xreal_0(H) & k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),F,E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(C),u1_struct_0(A),G,k1_rlvect_1(A,B,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k3_hahnban1(A,B,C,k7_hahnban1(A,B)),C) ) ) ) )).
fof(t15_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k1_zfmisc_1(A)) ) => ( v1_hallmar1(B,A) => v2_relat_1(B) ) ) ) )).
fof(t15_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k1_funct_1(k6_weierstr(A,B),C),k2_xcmplx_0(k3_metric_1(A,C,D),k1_funct_1(k6_weierstr(A,B),D))) ) ) ) ) )).
fof(t15_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => r1_tarski(B,k7_glib_001(A,B,C)) ) ) ) )).
fof(t15_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),B,k12_finseq_1(k3_cqc_lang(A),k5_cqc_lang(A)))) ) ) )).
fof(t15_hermitan,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => k3_real_1(k3_complex1(A),k3_complex1(k2_complfld(A))) = k3_xcmplx_0(2,k3_complex1(A)) ) )).
fof(t15_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_collsp(A,F,B,C) & r1_collsp(A,F,B,D) & r1_collsp(A,F,C,E) & F != D & F != E & r1_collsp(A,F,D,E) ) ) ) ) ) ) ) )).
fof(t15_heyting1,axiom,( ! [A] : ( m2_subset_1(A,k2_zfmisc_1(k5_finsub_1(k1_xboole_0),k5_finsub_1(k1_xboole_0)),k7_normform(k1_xboole_0)) => A = k4_tarski(k1_xboole_0,k1_xboole_0) ) )).
fof(t15_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ~ ( r2_tarski(E,k3_heyting2(A,B,C,D)) & ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) => ~ ( E = k3_tarski(a_5_1_heyting2(A,B,C,D,F)) & k1_relset_1(C,F) = C ) ) ) ) ) ) )).
fof(t15_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => r1_xboole_0(k3_heyting3(A,B),k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k1_nat_1(k2_nat_1(2,A),3),B))) ) ) )).
fof(t15_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_taylor_1(C,A,B) & r1_taylor_1(D,A,B) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B),A),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,B),A),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(D,B),A))) ) ) ) ) ) )).
fof(t15_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k13_polynom3(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( B = C => k4_algstr_0(k13_polynom3(A),B) = k5_vfunct_1(k4_ordinal1,A,C) ) ) ) ) )).
fof(t15_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( r2_tarski(B,k6_hilbert1) => r2_tarski(k3_hilbert1(A,B),k6_hilbert1) ) ) ) )).
fof(t15_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( ~ r1_xxreal_0(k3_finseq_1(k4_hilbert1(A,B)),k3_finseq_1(A)) & ~ r1_xxreal_0(k3_finseq_1(k4_hilbert1(A,B)),k3_finseq_1(B)) ) ) ) )).
fof(t15_hilbert3,axiom,( v1_funct_1(k5_funct_4(k4_ordinal1,k5_numbers,1,1,k5_numbers)) & v1_funct_2(k5_funct_4(k4_ordinal1,k5_numbers,1,1,k5_numbers),2,2) & v3_funct_2(k5_funct_4(k4_ordinal1,k5_numbers,1,1,k5_numbers),2,2) & m1_subset_1(k5_funct_4(k4_ordinal1,k5_numbers,1,1,k5_numbers),k1_zfmisc_1(k2_zfmisc_1(2,2))) )).
fof(t15_huffman1,axiom,( k3_trees_1(k2_trees_1(k5_numbers)) = k2_trees_1(k5_numbers) )).
fof(t15_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,k4_polynom5(A,B,C)),k4_polynom5(A,B,k4_algstr_0(A,C))) ) ) ) )).
fof(t15_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_hurwitz2(A,k8_polynom3(A,B,C)),k8_polynom3(A,k1_hurwitz2(A,B),k1_hurwitz2(A,C))) ) ) ) )).
fof(t15_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_idea_1(C,k4_idea_1(C,A,B)) ) ) ) )).
fof(t15_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v6_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k5_algstr_0(A,C,D),B) ) ) ) ) ) )).
fof(t15_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ~ ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_collsp(A,B,C,F) & r1_collsp(A,D,E,F) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u2_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(k3_incproj(A))) => ? [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) & r1_incsp_1(k3_incproj(A),D,B) & r1_incsp_1(k3_incproj(A),D,C) ) ) ) ) ) )).
fof(t15_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,B,C),A) ) ) ) )).
fof(t15_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( m5_index_1(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B))),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) & m5_index_1(k6_index_1(u1_struct_0(A),u4_struct_0(A),k7_funcop_1(u1_struct_0(A),B),k7_funcop_1(u4_struct_0(A),k10_cat_1(B))),u1_struct_0(A),u4_struct_0(A),u2_graph_1(A),u1_graph_1(A),k1_oppcat_1(u4_struct_0(A),u4_struct_0(A),u4_struct_0(A),u1_cat_1(A)),k7_isocat_1(A)) ) ) ) )).
fof(t15_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => m1_instalg1(A,A) ) )).
fof(t15_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( ( r2_int_1(A,B,D) & r2_int_1(B,C,D) ) => r2_int_1(A,C,D) ) ) ) ) ) )).
fof(t15_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r2_int_1(A,B,C) <=> r1_int_1(C,k6_xcmplx_0(A,B)) ) ) ) ) )).
fof(t15_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ~ ( r1_int_2(A,C) & ! [D] : ( v1_int_1(D) => k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A,D),B),C) != k5_numbers ) ) ) ) ) )).
fof(t15_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( ~ r1_xxreal_0(B,2) & k3_int_2(A,B) = 1 & r1_int_5(A,B) & ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ~ ( k5_int_1(k6_xcmplx_0(k1_pepin(C),A),B) = k5_numbers & k5_int_1(k6_xcmplx_0(k1_pepin(D),A),B) = k5_numbers & ~ r2_int_1(C,D,B) ) ) ) ) ) ) )).
fof(t15_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_2(A,B) => k2_int_2(A,B) = k1_int_2(k3_xcmplx_0(A,B)) ) ) ) )).
fof(t15_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k8_newton) & v1_funct_1(B) & v1_partfun1(B,k8_newton) & v4_valued_0(B) & v2_pre_poly(B) ) => ( ( v1_int_7(A) & v1_int_7(B) & k8_nat_3(k8_newton,A) = k8_nat_3(k8_newton,B) ) => r8_pboole(k8_newton,A,B) ) ) ) )).
fof(t15_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_int_2(B,C) => ( r1_xxreal_0(C,1) | ( r1_int_2(k3_pepin(B,C),A) <=> k3_pepin(k1_newton(B,A),C) = k3_pepin(B,C) ) ) ) ) ) ) )).
fof(t15_integr10,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( k1_relset_1(k1_numbers,A) = k2_limfunc1(k5_numbers) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,k6_integr10(C)),k5_numbers) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k3_limfunc1(k5_numbers)) => r3_integr10(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,A,B),k6_integr10(C)),k5_numbers) ) ) & r2_relset_1(k1_numbers,k1_numbers,k7_integr10(k26_valued_1(k1_numbers,k1_numbers,A,B)),k26_valued_1(k1_numbers,k1_numbers,k7_integr10(A),B)) ) ) ) ) )).
fof(t15_integr11,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( A = k1_rcomp_1(k5_numbers,k3_xcmplx_0(2,k28_sin_cos)) => k2_integra5(A,k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)) = k28_sin_cos ) ) )).
fof(t15_integr12,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v3_rcomp_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,G) & r1_tarski(G,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_taylor_1))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,G) => ( k1_funct_1(D,H) = k7_xcmplx_0(H,A) & ~ r1_xxreal_0(k1_funct_1(D,H),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(D,H)) & k1_funct_1(E,H) = 1 ) ) ) & r2_relset_1(k1_numbers,k1_numbers,F,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_taylor_1(2))) & G = k1_relset_1(k1_numbers,C) & r2_relset_1(k1_numbers,k1_numbers,C,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos9)) ) => ( A = k5_numbers | k2_integra5(B,C) = k6_xcmplx_0(k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,G),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_taylor_1),k7_xcmplx_0(A,2))),k2_seq_4(B)),k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,G),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_taylor_1),k7_xcmplx_0(A,2))),k3_seq_4(B))) ) ) ) ) ) ) ) ) ) )).
fof(t15_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos),k1_partfun2(k1_numbers,C)),k3_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1,k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos)))) & r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t15_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(B,D) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,k7_xcmplx_0(1,D)),k3_xcmplx_0(k1_square_1(D),k1_square_1(k1_funct_1(k18_sin_cos,k7_xcmplx_0(1,D))))) ) ) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)),k1_fdiff_9))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)),k1_fdiff_9)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)),k1_fdiff_9)),k3_seq_4(A))) ) ) ) ) )).
fof(t15_integr15,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) ) => ( r2_relset_1(A,k1_numbers,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,k7_integr15(B,A,D,E),k1_pdiff_1(C,B)),k3_valued_1(A,k1_numbers,k1_numbers,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,D,k1_pdiff_1(C,B)),k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,E,k1_pdiff_1(C,B)))) & r2_relset_1(A,k1_numbers,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,k8_integr15(B,A,D,E),k1_pdiff_1(C,B)),k47_valued_1(A,k1_numbers,k1_numbers,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,D,k1_pdiff_1(C,B)),k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,E,k1_pdiff_1(C,B)))) ) ) ) ) ) )).
fof(t15_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( v1_comseq_2(B) => ( v1_integr16(B,A) <=> ? [C] : ( m1_subset_1(C,k2_numbers) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [E] : ( m2_integr16(E,A,B,D) => ( ( v2_comseq_2(k2_integra3(A,D)) & k1_seq_2(k2_integra3(A,D)) = k5_numbers ) => ( v2_comseq_2(k5_integr16(A,B,D,E)) & k3_comseq_2(k5_integr16(A,B,D,E)) = C ) ) ) ) ) ) ) ) ) )).
fof(t15_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_integr18(A,B,C) & r1_integr18(A,B,D) & r1_tarski(B,k1_relset_1(k1_numbers,C)) & r1_tarski(B,k1_relset_1(k1_numbers,D)) ) => ( r1_integr18(A,B,k2_vfunct_1(k1_numbers,A,C,D)) & k5_integr18(A,B,k2_vfunct_1(k1_numbers,A,C,D)) = k5_algstr_0(A,k5_integr18(A,B,C),k5_integr18(A,B,D)) ) ) ) ) ) ) )).
fof(t15_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( v3_integr15(C,A) & r1_tarski(B,k1_relset_1(k1_numbers,C)) ) => v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),C,B),A) ) ) ) ) )).
fof(t15_integr20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) & ! [E] : ( v7_ordinal1(E) => ( k2_integra2(A,D,k3_xcmplx_0(2,E)) = k2_integra2(A,B,E) & k2_integra2(A,D,k1_nat_1(k3_xcmplx_0(2,E),1)) = k2_integra2(A,C,E) ) ) ) ) ) ) )).
fof(t15_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & v3_lopban_1(D) & l1_normsp_1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_nfcont_3(E,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(D)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,E)) & r2_hidden(C,k3_integra5(A,B)) ) => ( r1_integr18(D,k3_integra5(A,C),E) & r1_integr18(D,k3_integra5(C,B),E) & k6_integr18(D,E,A,B) = k3_rlvect_1(D,k6_integr18(D,E,A,C),k6_integr18(D,E,C,B)) ) ) ) ) ) ) ) )).
fof(t15_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) => v5_xxreal_2(k1_rvsum_1(B)) ) ) ) )).
fof(t15_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( v3_xxreal_2(B) & r1_xxreal_0(k5_numbers,A) ) => k3_seq_4(k1_integra2(B,A)) = k3_xcmplx_0(A,k3_seq_4(B)) ) ) ) )).
fof(t15_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v2_measure5(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( m1_integra1(E,D) => ! [F] : ( m1_integra1(F,D) => ~ ( r2_tarski(B,k4_finseq_1(E)) & r2_tarski(C,k4_finseq_1(E)) & r1_xxreal_0(B,C) & r1_integra1(E,F) & ~ r1_xxreal_0(k1_funct_1(k3_finseq_6(k1_numbers,F,k13_integra1(D,E,F,B),k13_integra1(D,E,F,C)),1),A) & ! [G] : ( ( ~ v1_xboole_0(G) & v2_measure5(G) & m1_subset_1(G,k1_zfmisc_1(k1_numbers)) ) => ! [H] : ( m1_integra1(H,G) => ! [I] : ( m1_integra1(I,G) => ~ ( A = k3_seq_4(G) & k2_seq_4(G) = k1_funct_1(I,k3_finseq_1(I)) & k2_seq_4(G) = k1_funct_1(H,k3_finseq_1(H)) & r1_integra1(H,I) & H = k3_finseq_6(k1_numbers,E,B,C) & I = k3_finseq_6(k1_numbers,F,k13_integra1(D,E,F,B),k13_integra1(D,E,F,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_integra4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v2_seq_2(k2_partfun1(A,k1_numbers,k18_rfunct_3(A,C),B)) ) ) )).
fof(t15_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) & r1_tarski(A,k1_relset_1(k1_numbers,B)) ) => ( k3_seq_4(k1_rvsum_1(k2_partfun1(k1_numbers,k1_numbers,B,A))) = k1_funct_1(B,k3_seq_4(A)) & k2_seq_4(k1_rvsum_1(k2_partfun1(k1_numbers,k1_numbers,B,A))) = k1_funct_1(B,k2_seq_4(A)) ) ) ) ) )).
fof(t15_integra6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k3_integra1(A),k5_numbers) & ! [C] : ( m1_integra1(C,A) => ~ ( k3_finseq_1(C) = B & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k1_funct_1(C,D) = k2_xcmplx_0(k3_seq_4(A),k3_xcmplx_0(k7_xcmplx_0(k3_integra1(A),B),D)) ) ) ) ) ) ) ) )).
fof(t15_integra7,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [F] : ~ ( r2_tarski(F,A) & k1_funct_1(E,F) = k5_numbers ) & r1_integra7(A,D,B) & r1_integra7(A,E,C) ) => r1_integra7(A,k3_rfunct_1(k1_numbers,k1_numbers,D,E),k3_rfunct_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,E),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,C)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,E,E))) ) ) ) ) ) )).
fof(t15_integra8,axiom,( k4_sin_cos6(k7_xcmplx_0(k3_square_1(2),2)) = k7_xcmplx_0(k28_sin_cos,4) )).
fof(t15_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,B) => k2_integra5(A,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k18_sin_cos))) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k16_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k16_sin_cos),k3_seq_4(A))) ) ) ) )).
fof(t15_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => B = k2_interva1(A,k5_interva1(A,B),k6_interva1(A,B)) ) ) )).
fof(t15_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ( v8_intpro_1(A) <=> k7_intpro_1(A) = A ) ) )).
fof(t15_irrat_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_series_1(k1_valued_0(k1_numbers,A,1)) => ( v1_series_1(A) & k4_series_1(A) = k2_xcmplx_0(k1_funct_1(A,k5_numbers),k4_series_1(k1_valued_0(k1_numbers,A,1))) ) ) ) )).
fof(t15_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ( ( r1_isocat_1(A,B) & r1_isocat_1(B,C) ) => r1_isocat_1(A,C) ) ) ) ) )).
fof(t15_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k2_cat_1(A,E,F) != k1_xboole_0 => ! [G] : ( m1_cat_1(G,A,E,F) => ( r2_nattra_1(B,C,k10_cat_2(A,B,C,D,E),k10_cat_2(A,B,C,D,F)) & m2_nattra_1(k1_partfun1(u1_struct_0(B),u4_struct_0(B),u4_struct_0(B),u4_struct_0(C),k7_isocat_1(B),k3_isocat_2(A,B,C,D,G)),B,C,k10_cat_2(A,B,C,D,E),k10_cat_2(A,B,C,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t15_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tops_1(k1_tops_1(A,k2_pre_topc(A,B)),A) & v5_tops_1(k2_pre_topc(A,k1_tops_1(A,B)),A) ) ) ) )).
fof(t15_jct_misc,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => v1_rcomp_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,A)) ) )).
fof(t15_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( v1_jgraph_1(A,2) & v1_graph_4(k4_jgraph_1(u1_struct_0(k15_euclid(2)),A),k1_jgraph_1(u1_struct_0(k15_euclid(2)))) ) => ( k1_funct_1(A,1) = k1_funct_1(A,k3_finseq_1(A)) | v3_topreal1(A) ) ) ) )).
fof(t15_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ( B = a_0_0_jgraph_2 => r1_tarski(k2_relset_1(k8_struct_0(k15_euclid(2)),k2_partfun1(k8_struct_0(k15_euclid(2)),k8_struct_0(k15_euclid(2)),k1_jgraph_2,B)),u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B))) ) ) ) )).
fof(t15_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ( ( C = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,A) & B = k8_struct_0(k15_euclid(2)) & A = a_0_0_jgraph_3 ) => v5_pre_topc(C,k1_pre_topc(k15_euclid(2),A),k1_pre_topc(k15_euclid(2),B)) ) ) ) ) )).
fof(t15_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k14_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( C = k9_metric_1(k14_euclid(2),A,B) => v2_compts_1(C,k15_euclid(2)) ) ) ) ) )).
fof(t15_jgraph_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k5_topmetr)) => ~ ( H = k5_numbers & I = 1 & v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) & C = a_0_5_jgraph_5 & D = a_0_1_jgraph_5 & E = a_0_2_jgraph_5 & F = a_0_3_jgraph_5 & G = a_0_4_jgraph_5 & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H),E) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I),D) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H),F) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I),G) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),A),C) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_jgraph_6,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_topmetr)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k5_topmetr)) => ~ ( H = k5_numbers & I = 1 & v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) & C = a_0_1_jgraph_6 & D = a_0_2_jgraph_6 & E = a_0_3_jgraph_6 & F = a_0_4_jgraph_6 & G = a_0_5_jgraph_6 & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,H),D) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),A,I),E) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,H),G) & r2_tarski(k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2)),B,I),F) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),A),C) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k17_euclid(C) = E & k18_euclid(D) = H & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(C),H) & r1_xxreal_0(E,k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),F) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k18_euclid(C),k18_euclid(B)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_jordan,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( r2_jordan2c(2,B,A) => r1_xboole_0(k1_jordan2c(2,B),A) ) ) ) )).
fof(t15_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_2_jordan1(A) => v1_convex1(B,k15_euclid(2)) ) ) ) )).
fof(t15_jordan10,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(A,k6_setfam_1(u1_struct_0(k15_euclid(2)),k4_jordan10(A))) ) )).
fof(t15_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_tarski(A,k1_jordan2c(2,B)) & r1_tarski(B,k1_jordan2c(2,A)) ) ) ) )).
fof(t15_jordan12,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( r2_tarski(A,k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C))) & r2_tarski(B,k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C)),D) & r2_tarski(A,D) & r2_tarski(B,D) ) ) ) <=> ( ( r2_tarski(A,k2_goboard9(C)) & r2_tarski(B,k3_goboard9(C)) ) | ( r2_tarski(A,k3_goboard9(C)) & r2_tarski(B,k2_goboard9(C)) ) ) ) ) )).
fof(t15_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_tarski(k3_goboard9(k1_jordan13(A,B)),k1_jordan2c(2,A)) ) ) ) )).
fof(t15_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_topreal1(2,k1_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)) ) ) ) ) ) ) ) ) )).
fof(t15_jordan16,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),k18_pscomp_1(A),k22_pscomp_1(A),B) & r1_tarski(B,A) & B != k9_jordan6(A) & B != k8_jordan6(A) ) ) ) )).
fof(t15_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( C != D & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != C & F != D & r1_jordan17(A,B,C,F,D) ) ) ) ) ) ) ) ) )).
fof(t15_jordan18,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),C,D,B) & r1_tarski(B,A) & ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),C,D,E) & k4_subset_1(u1_struct_0(k15_euclid(2)),B,E) = A & k9_subset_1(u1_struct_0(k15_euclid(2)),B,E) = k2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(t15_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & ~ r1_xxreal_0(A,k5_numbers) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k9_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k8_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D)) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k9_jordan6(B)) ) ) ) ) ) ) )).
fof(t15_jordan1a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( r1_xboole_0(B,C) & r1_tarski(B,k6_jordan6(A)) & r1_tarski(C,k6_jordan6(A)) ) => r1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,B),k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,C)) ) ) ) ) )).
fof(t15_jordan1b,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ~ ( r1_xxreal_0(3,k3_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(A),k1_jordan1a(A)) ) ) )).
fof(t15_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_int_1(D) => ( D = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(C),k9_pscomp_1(A)),k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A))),k1_newton(2,B)),2)) => r1_xxreal_0(k2_xcmplx_0(k9_pscomp_1(A),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A)),k1_newton(2,B)),k6_xcmplx_0(D,2))),k18_euclid(C)) ) ) ) ) ) )).
fof(t15_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k24_pscomp_1(B),k1_gobrd13(k1_jordan9(B,A),k1_jordan8(B,A),C)) ) ) ) )).
fof(t15_jordan1e,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(3,k3_finseq_1(k1_jordan1e(A,B))) & r1_xxreal_0(3,k3_finseq_1(k2_jordan1e(A,B))) ) ) ) )).
fof(t15_jordan1g,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_topreal1(A) & v2_topreal1(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( ( ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k23_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k23_pscomp_1(k3_topreal1(2,A)) ) | ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) != k22_pscomp_1(k3_topreal1(2,A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) != k22_pscomp_1(k3_topreal1(2,A)) ) ) & k23_pscomp_1(k3_topreal1(2,A)) = k22_pscomp_1(k3_topreal1(2,A)) ) ) )).
fof(t15_jordan1h,axiom,( ! [A] : ( ( v1_matrix_0(A) & v1_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,k2_jordan1h(u1_struct_0(k15_euclid(2)),A))),k3_finseq_1(A)) ) )).
fof(t15_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(k1_nat_1(C,1),D),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),D) & r1_xxreal_0(D,1) ) ) ) ) ) ) ) )).
fof(t15_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k20_pscomp_1(B),A) ) => k20_pscomp_1(A) = k20_pscomp_1(B) ) ) ) )).
fof(t15_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k1_jordan2c(A,k1_struct_0(k15_euclid(A))) = k1_struct_0(k15_euclid(A)) ) ) )).
fof(t15_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(D,1) & v3_tops_2(C,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & B = a_3_0_jordan20(A,C,D) ) => v3_pre_topc(B,k1_pre_topc(k15_euclid(2),A)) ) ) ) ) ) )).
fof(t15_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k18_euclid(k10_jordan6(A)) != k18_euclid(k11_jordan6(A)) ) )).
fof(t15_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k1_jordan21(k3_topreal1(2,k1_jordan9(A,B))) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan9(A,B)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),k3_finseq_1(k1_jordan8(A,B)))))))) ) ) ) )).
fof(t15_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & v2_jordan23(A) ) => k4_jordan3(A,B,B) = k13_matrix_0(u1_struct_0(k15_euclid(2)),B) ) ) ) )).
fof(t15_jordan24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( r3_connsp_1(A,E,D) => r3_connsp_1(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,E),k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) ) ) )).
fof(t15_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),D,F) = k7_partfun1(k1_numbers,F,E) ) => k8_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),D,a_2_0_jordan2b(B,C)) = a_4_0_jordan2b(A,B,C,E) ) ) ) ) ) ) )).
fof(t15_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r1_jordan2c(A,B,C) => r1_tarski(C,k3_subset_1(u1_struct_0(k15_euclid(A)),B)) ) ) ) ) )).
fof(t15_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_jordan3(A,B,C) => r1_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)),A),C,B) ) ) ) ) )).
fof(t15_jordan4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => ( k3_finseq_6(A,B,C,C) = k12_finseq_1(A,k7_partfun1(A,B,C)) & k3_finseq_1(k3_finseq_6(A,B,C,C)) = 1 ) ) ) ) ) )).
fof(t15_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) => ( ( v5_pre_topc(E,k4_topmetr(A,B),k4_topmetr(C,D)) & v2_funct_1(E) & k1_funct_1(E,A) = C & k1_funct_1(E,B) = D ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(D,C) | ! [F] : ( m1_subset_1(F,u1_struct_0(k4_topmetr(A,B))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k4_topmetr(A,B))) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ~ ( F = H & G = I & ~ r1_xxreal_0(I,H) & J = k3_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D)),E,F) & K = k3_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D)),E,G) & r1_xxreal_0(K,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_jordan5b,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( v4_topreal1(B) & r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) & C = k2_topreal1(2,B,A) ) => r1_topreal1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,A),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(A,1)),C) ) ) ) ) )).
fof(t15_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),B),k15_euclid(2)) & r2_tarski(C,k3_topreal1(2,A)) & r2_tarski(C,B) ) => r1_jordan5c(k3_topreal1(2,A),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k1_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),C) ) ) ) ) )).
fof(t15_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_2_jordan5d(A) => B = k7_relat_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k15_pscomp_1(k3_topreal1(2,A))),u1_struct_0(k1_pre_topc(k15_euclid(2),k15_pscomp_1(k3_topreal1(2,A))))) ) ) ) )).
fof(t15_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => ( r2_tarski(k1_jordan6(A,B,C),A) & r2_tarski(k2_jordan6(A,B,C),A) ) ) ) ) ) )).
fof(t15_jordan7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(A),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(A),B))))) ) => ~ ( v3_tops_2(C,k5_topmetr,k1_pre_topc(k15_euclid(A),B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))))) ) => ~ ( C = D & v5_pre_topc(D,k5_topmetr,k15_euclid(A)) & v2_funct_1(D) ) ) ) ) ) ) )).
fof(t15_jordan8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,k3_finseq_1(k1_jordan8(A,C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A,C),B,k3_finseq_1(k1_jordan8(A,C))),A) ) ) ) ) )).
fof(t15_jordan9,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) & v1_topreal1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => ( r1_xboole_0(k1_tops_1(k15_euclid(2),k2_gobrd13(B,A,C)),k3_topreal1(2,B)) & r1_xboole_0(k1_tops_1(k15_euclid(2),k1_gobrd13(B,A,C)),k3_topreal1(2,B)) ) ) ) ) ) ) )).
fof(t15_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k3_jordan6(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),B) = k5_jordan6(k9_jordan6(A),k22_pscomp_1(A),k18_pscomp_1(A),k22_pscomp_1(A),B) ) ) )).
fof(t15_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_ordinal1(D) => k3_knaster(A,B,C,k1_ordinal1(D)) = k1_funct_1(B,k3_knaster(A,B,C,D)) ) ) ) ) )).
fof(t15_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m1_kolmog01(D,B,A,C) => ( ~ v1_xboole_0(k6_kolmog01(B,A,C,D)) & v1_prob_1(k6_kolmog01(B,A,C,D),A) & v4_prob_1(k6_kolmog01(B,A,C,D),A) & m1_subset_1(k6_kolmog01(B,A,C,D),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) ) ) )).
fof(t15_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ! [D] : ( v7_ordinal1(D) => k1_funct_1(B,D) = C ) => k3_kurato_0(A,B) = C ) ) ) )).
fof(t15_kurato_1,axiom,( k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k6_kurato_1)))))) = k2_rcomp_1(k2_xxreal_0,2) )).
fof(t15_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => k2_pre_topc(A,k1_kurato_2(A,B)) = k1_kurato_2(A,B) ) ) )).
fof(t15_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & k3_xcmplx_0(A,B) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(C),k1_pepin(D)),k1_pepin(E)),k1_pepin(F)) ) ) ) ) ) ) )).
fof(t15_lang1,axiom,( ! [A] : ! [B] : ( A != B => k3_lang1(k8_lang1(A,B)) = k3_finseq_2(k1_tarski(B)) ) )).
fof(t15_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k2_finseq_1(A)) & r2_tarski(F,k2_finseq_1(A)) ) => k2_laplace(E,F,A,B,C) = k2_laplace(E,F,A,B,k3_matrix11(E,A,A,u1_struct_0(B),C,D)) ) ) ) ) ) ) ) )).
fof(t15_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ) )).
fof(t15_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F & r1_latsum_1(A,B) & v4_orders_2(A) & v4_orders_2(B) ) => ( r1_orders_2(A,C,D) <=> r1_orders_2(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t15_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_lattices(A,B,k1_lattices(A,C,B)) = B => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(t15_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),u2_lattices(A),B,C) = C ) => B = k5_lattices(A) ) ) ) )).
fof(t15_lattice3,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k11_lattice3(A,B,C) = k11_lattice3(A,C,B) ) ) ) )).
fof(t15_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => k3_lattices(A,k1_lattice4(A,B),k1_lattice4(A,C)) = k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)) ) ) ) )).
fof(t15_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v2_funct_2(C,u1_struct_0(B)) => v2_funct_1(k4_lattice5(A,B,C)) ) ) ) ) )).
fof(t15_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v2_lattice6(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_lattice6(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_lattice6(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattice6(A,B,D) => D = C ) ) ) ) ) ) )).
fof(t15_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => m2_lattice7(k4_lattice7(k5_yellow_0(A,k3_lattice7(A)))) ) )).
fof(t15_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => k3_lattice8(A,k1_ordinal1(B)) = k1_lattice8(k3_lattice8(A,B)) ) ) )).
fof(t15_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( D = a_3_0_latticea(A,B,C) & r2_tarski(C,D) ) => ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t15_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_lattices(A,k5_lattices(A),B) = k5_lattices(A) ) ) )).
fof(t15_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,B,C),D),k39_glib_000(B)) & ( r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) => r1_xxreal_0(1,k1_recdef_1(k5_lexbfs(A,B,C),D)) ) ) ) ) ) )).
fof(t15_lfuzzy_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v9_waybel_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_lattice3(A,k1_yellow_0(A,B),C) = k1_yellow_0(A,a_3_0_lfuzzy_0(A,B,C)) ) ) ) )).
fof(t15_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( v8_relat_2(B) => v3_lfuzzy_1(k3_lfuzzy_1(B,k2_zfmisc_1(A,A)),A) ) ) ) )).
fof(t15_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_limfunc1(A) => v2_limfunc1(k32_valued_1(k4_ordinal1,k1_numbers,A)) ) & ( v2_limfunc1(A) => v1_limfunc1(k32_valued_1(k4_ordinal1,k1_numbers,A)) ) ) ) )).
fof(t15_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r5_limfunc2(B,A) & r5_limfunc2(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C))) ) ) ) ) ) => ( r5_limfunc2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r5_limfunc2(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) ) )).
fof(t15_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r3_limfunc3(B,A) & r3_limfunc3(C,A) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(A,D) & ~ r1_xxreal_0(E,A) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(F,D) & ~ r1_xxreal_0(A,F) & r2_hidden(F,k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C))) & ~ r1_xxreal_0(E,G) & ~ r1_xxreal_0(G,A) & r2_hidden(G,k3_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C))) ) ) ) ) ) ) ) => ( r3_limfunc3(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_limfunc3(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) ) )).
fof(t15_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r5_limfunc2(B,A) & v4_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r5_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t15_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( k1_vectsp_7(A,B,C) = B & r1_tarski(C,D) ) => k1_vectsp_7(A,B,D) = B ) ) ) ) ) )).
fof(t15_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & l1_vectsp_1(D,A) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ! [I] : ( m1_subset_1(I,u1_struct_0(D)) => ! [J] : ( m1_subset_1(J,u1_struct_0(D)) => ( r1_lmod_6(A,C,D) => ( k4_struct_0(C) = k4_struct_0(D) & ( ( F = I & G = J ) => k1_algstr_0(C,F,G) = k1_algstr_0(D,I,J) ) & ( E = H => k3_vectsp_1(A,C,B,E) = k3_vectsp_1(A,D,B,H) ) & ( E = H => k4_algstr_0(D,H) = k4_algstr_0(C,E) ) & ( ( F = I & G = J ) => k5_algstr_0(C,F,G) = k5_algstr_0(D,I,J) ) & r1_struct_0(C,k4_struct_0(D)) & r1_struct_0(D,k4_struct_0(C)) & ( ( r1_struct_0(C,I) & r1_struct_0(C,J) ) => r1_struct_0(C,k1_algstr_0(D,I,J)) ) & ( r1_struct_0(C,H) => r1_struct_0(C,k3_vectsp_1(A,D,B,H)) ) & ( r1_struct_0(C,H) => r1_struct_0(C,k4_algstr_0(D,H)) ) & ( ( r1_struct_0(C,I) & r1_struct_0(C,J) ) => r1_struct_0(C,k5_algstr_0(D,I,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k13_lmod_7(A,B,C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k14_lmod_7(A,B,C,E) ) ) ) ) ) )).
fof(t15_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => m1_rlsub_1(g1_rlvect_1(k7_lopban_1(A,B),k7_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k5_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B)),k6_rsspace(k5_lopban_1(u1_struct_0(A),B),k7_lopban_1(A,B))),k5_lopban_1(u1_struct_0(A),B)) ) ) )).
fof(t15_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_lopban_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_lopban_2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_lopban_2(A))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( k1_algstr_0(k8_lopban_2(A),B,C) = k1_algstr_0(k8_lopban_2(A),C,B) & k1_algstr_0(k8_lopban_2(A),k1_algstr_0(k8_lopban_2(A),B,C),D) = k1_algstr_0(k8_lopban_2(A),B,k1_algstr_0(k8_lopban_2(A),C,D)) & k1_algstr_0(k8_lopban_2(A),B,k4_struct_0(k8_lopban_2(A))) = B & ? [G] : ( m1_subset_1(G,u1_struct_0(k8_lopban_2(A))) & k1_algstr_0(k8_lopban_2(A),B,G) = k4_struct_0(k8_lopban_2(A)) ) & k6_algstr_0(k8_lopban_2(A),k6_algstr_0(k8_lopban_2(A),B,C),D) = k6_algstr_0(k8_lopban_2(A),B,k6_algstr_0(k8_lopban_2(A),C,D)) & k6_algstr_0(k8_lopban_2(A),B,k5_struct_0(k8_lopban_2(A))) = B & k6_algstr_0(k8_lopban_2(A),k5_struct_0(k8_lopban_2(A)),B) = B & k6_algstr_0(k8_lopban_2(A),B,k1_algstr_0(k8_lopban_2(A),C,D)) = k1_algstr_0(k8_lopban_2(A),k6_algstr_0(k8_lopban_2(A),B,C),k6_algstr_0(k8_lopban_2(A),B,D)) & k6_algstr_0(k8_lopban_2(A),k1_algstr_0(k8_lopban_2(A),C,D),B) = k1_algstr_0(k8_lopban_2(A),k6_algstr_0(k8_lopban_2(A),C,B),k6_algstr_0(k8_lopban_2(A),D,B)) & k1_rlvect_1(k8_lopban_2(A),k6_algstr_0(k8_lopban_2(A),B,C),E) = k6_algstr_0(k8_lopban_2(A),k1_rlvect_1(k8_lopban_2(A),B,E),C) & k1_rlvect_1(k8_lopban_2(A),k1_algstr_0(k8_lopban_2(A),B,C),E) = k1_algstr_0(k8_lopban_2(A),k1_rlvect_1(k8_lopban_2(A),B,E),k1_rlvect_1(k8_lopban_2(A),C,E)) & k1_rlvect_1(k8_lopban_2(A),B,k2_xcmplx_0(E,F)) = k1_algstr_0(k8_lopban_2(A),k1_rlvect_1(k8_lopban_2(A),B,E),k1_rlvect_1(k8_lopban_2(A),B,F)) & k1_rlvect_1(k8_lopban_2(A),B,k3_xcmplx_0(E,F)) = k1_rlvect_1(k8_lopban_2(A),k1_rlvect_1(k8_lopban_2(A),B,F),E) & k1_rlvect_1(k8_lopban_2(A),k6_algstr_0(k8_lopban_2(A),B,C),k3_xcmplx_0(E,F)) = k6_algstr_0(k8_lopban_2(A),k1_rlvect_1(k8_lopban_2(A),B,E),k1_rlvect_1(k8_lopban_2(A),C,F)) ) ) ) ) ) ) ) )).
fof(t15_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_normsp_1(A,k1_bhsp_4(A,B),k1_bhsp_4(A,C)),k1_bhsp_4(A,k1_normsp_1(A,B,C))) ) ) ) )).
fof(t15_lopban_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( ~ r1_xxreal_0(A,k5_numbers) => k8_nat_1(u1_struct_0(B),k4_lopban_4(B,C),A) = k8_nat_1(u1_struct_0(B),C,k7_nat_d(A,1)) ) ) ) ) )).
fof(t15_lopban_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_normsp_2(B)))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k4_normsp_2(B)))) => ( ( G = k1_lopban_5(B,k4_struct_0(B),D) & F = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k1_lopban_5(A,k4_struct_0(A),1)) & r1_tarski(G,k2_pre_topc(k4_normsp_2(B),F)) ) => ( r1_xxreal_0(D,k5_numbers) | r1_tarski(G,F) ) ) ) ) ) ) ) ) ) )).
fof(t15_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_xxreal_0(k2_normsp_0(A,C),k2_normsp_0(k7_prvect_3(A,B),k1_lopban_7(A,B,C,D))) & r1_xxreal_0(k2_normsp_0(B,D),k2_normsp_0(k7_prvect_3(A,B),k1_lopban_7(A,B,C,D))) ) ) ) ) ) )).
fof(t15_lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ( r2_tarski(A,k7_lopclset(B)) <=> ? [C] : ( ~ v1_xboole_0(C) & v19_lattices(C,B) & v20_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & C = A & v1_filter_0(C,B) ) ) ) )).
fof(t15_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) ) ) ) ) )).
fof(t15_lpspacc1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_rfunct_3(C,B,k2_numbers,k3_rfunct_3(B,k2_numbers)) => ! [D] : ( m2_rfunct_3(D,B,k2_numbers,k3_rfunct_3(B,k2_numbers)) => k1_binop_1(k7_lpspacc1(B),k1_binop_1(k8_lpspacc1(B),A,C),D) = k1_binop_1(k8_lpspacc1(B),A,k2_lpspace1(B,k2_numbers,k7_lpspacc1(B),C,D)) ) ) ) ) )).
fof(t15_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),k5_lpspace1(A),B),B) ) ) )).
fof(t15_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( A = k1_relset_1(A,D) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k5_numbers = k1_funct_1(D,E) ) ) ) => ( r3_mesfunc6(A,B,C,D) & k1_mesfunc6(A,B,C,D) = k5_numbers ) ) ) ) ) ) )).
fof(t15_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(A)),k2_ltlaxio1(k1_ltlaxio1(A))))) = 1 ) ) ) )).
fof(t15_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => k4_ltlaxio2(k8_finseq_1(k1_hilbert1,B,k12_finseq_1(k1_hilbert1,A))) = k8_finseq_1(k1_hilbert1,k4_ltlaxio2(B),k12_finseq_1(k1_hilbert1,k1_ltlaxio1(A))) ) ) )).
fof(t15_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => k5_ltlaxio3(A) = k3_tarski(a_1_0_ltlaxio3(A)) ) )).
fof(t15_ltlaxio4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => ? [B] : ( m1_subset_1(B,k1_hilbert1) & r2_tarski(B,k5_ltlaxio3(A)) & k5_ltlaxio3(k7_subset_1(k1_hilbert1,k5_ltlaxio3(A),k6_domain_1(k1_hilbert1,B))) = k7_subset_1(k1_hilbert1,k5_ltlaxio3(A),k6_domain_1(k1_hilbert1,B)) ) ) )).
fof(t15_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(k8_cqc_lang(A,D,k8_cqc_lang(A,C,B)),k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,C,k8_cqc_lang(A,D,B)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(t15_margrel1,axiom,( ! [A] : ( v1_xboolean(A) => ( k4_xboolean(A,A) = k6_margrel1 => A = k6_margrel1 ) ) )).
fof(t15_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_rusub_4(A,k1_mathmorp(A,D,B),C) = k1_mathmorp(A,D,k6_rusub_4(A,B,C)) ) ) ) ) )).
fof(t15_matrix10,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,B,B) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v2_matrix10(C) => ( r1_xxreal_0(k5_numbers,A) | v1_matrix10(k6_matrix10(B,A,C)) ) ) ) ) ) )).
fof(t15_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k10_matrix_1(k1_nat_1(A,2)))) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(k1_nat_1(A,2))) => ( ( D = k3_group_4(k10_matrix_1(k1_nat_1(A,2)),C) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(C)) & ! [F] : ( m1_matrix_1(F,k9_matrix_1(k1_nat_1(A,2))) => ~ ( k1_funct_1(C,E) = F & v5_matrix_1(F,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) ) ) ) ) => ( ( k4_nat_d(k3_finseq_1(C),2) = k5_numbers => k2_matrix11(A,B,D) = k1_group_1(B) ) & ( k4_nat_d(k3_finseq_1(C),2) = 1 => k2_matrix11(A,B,D) = k4_algstr_0(B,k1_group_1(B)) ) ) ) ) ) ) ) )).
fof(t15_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v6_struct_0(E) & v13_algstr_0(E) & v33_algstr_0(E) & v4_vectsp_1(E) & v5_vectsp_1(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v3_group_1(E) & v5_group_1(E) & l6_algstr_0(E) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(E),C,D) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(E))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(E),C,D) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(E))) ) => ( ( r2_tarski(B,k2_finseq_1(k1_matrix_0(F))) & r2_tarski(A,k2_finseq_1(k1_matrix_0(F))) & G = k4_matrix_0(u1_struct_0(E),F) ) => ( r1_xxreal_0(C,k5_numbers) | r1_xxreal_0(D,k5_numbers) | k4_matrix_0(u1_struct_0(E),k1_matrix12(C,D,E,G,B,A)) = k4_matrix12(C,D,E,F,B,A) ) ) ) ) ) ) ) ) ) )).
fof(t15_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & v2_matrix_1(D,A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & v2_matrix_1(E,A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ( C = k4_matrix_3(B,D,E) => ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v2_matrix_1(C,A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & k13_matrix_3(A,B,C) = k11_fvsum_1(B,k13_matrix_3(A,B,D),k13_matrix_3(A,B,E)) ) ) ) ) ) ) ) )).
fof(t15_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ( B = k1_xboole_0 & B = k3_matrix_1(A,k5_numbers) & B = k2_matrix_1(A,k5_numbers) ) ) ) )).
fof(t15_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,B) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,D,C,A) & m2_finseq_1(F,k3_finseq_2(D)) ) => ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(C)) => k7_matrix_0(D,k1_matrix15(D,C,B,A,E,F),G) = k8_finseq_1(D,k7_matrix_0(D,E,G),k7_matrix_0(D,F,G)) ) ) ) ) ) ) ) ) )).
fof(t15_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),A,A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix16(F,u1_struct_0(B)) & v1_matrix16(G,u1_struct_0(B)) & v1_matrix16(H,u1_struct_0(B)) ) => v1_matrix16(k1_matrix_4(B,k1_matrix_4(B,k2_matrix13(A,A,B,F,C),k2_matrix13(A,A,B,G,D)),k2_matrix13(A,A,B,H,E)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).
fof(t15_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( v5_matrix17(C,u1_struct_0(A)) & v5_matrix17(D,u1_struct_0(A)) & k3_finseq_1(C) = k3_finseq_1(D) ) => k3_matrix_3(A,k2_matrix13(k3_finseq_1(C),k3_finseq_1(C),A,k1_matrix17(u1_struct_0(A),C),B),k2_matrix13(k3_finseq_1(D),k3_finseq_1(D),A,k1_matrix17(u1_struct_0(A),D),B)) = k1_matrix17(u1_struct_0(A),k9_fvsum_1(A,k3_fvsum_1(A,C,D),B)) ) ) ) ) ) )).
fof(t15_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ( v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k12_finseq_1(A,B))) & v2_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k12_finseq_1(A,B)),A,1,1) & m2_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k12_finseq_1(A,B)),k3_finseq_2(A)) ) ) ) )).
fof(t15_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_finseq_2(A) = k1_group_1(k10_matrix_1(A)) ) )).
fof(t15_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(k3_matrix_1(B,A))) => ( ( C = D => k1_funct_1(k7_matrix_0(u1_struct_0(B),k3_matrix_1(B,A),C),D) = k5_struct_0(B) ) & ( C != D => k1_funct_1(k7_matrix_0(u1_struct_0(B),k3_matrix_1(B,A),C),D) = k4_struct_0(B) ) ) ) ) ) ) ) )).
fof(t15_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) & k1_matrix_4(A,D,B) = k1_matrix_4(A,D,C) ) => B = C ) ) ) ) ) )).
fof(t15_matrix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k1_matrix_5(k8_matrix_5(A,B)) = k1_matrix_3(k1_complfld,A,B) ) ) )).
fof(t15_matrix_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(A),B,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( r2_matrix_6(B,A,D,C) => r1_matrix_6(B,A,C,D) ) ) ) ) ) )).
fof(t15_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k12_matrix_3(B,A,k1_matrix_3(A,B,B)) = k4_struct_0(A) ) ) ) )).
fof(t15_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( k4_matrix_3(B,D,C) = k3_matrix_1(B,A) => v1_matrix_8(k4_matrix_3(B,C,D),A,B) ) ) ) ) ) )).
fof(t15_matrix_9,axiom,( k3_finseq_5(k1_finseq_2(3)) = k3_finseq_4(k4_ordinal1,3,2,1) )).
fof(t15_matrixc1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) ) => k1_matrixc1(k5_matrix_5(A,B)) = k5_matrix_5(k1_matrixc1(A),k1_matrixc1(B)) ) ) ) )).
fof(t15_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => k10_matrixj1(A,k4_matrixj1(A,B)) = k13_matrix_0(k4_ordinal1,k3_finseq_1(B)) ) ) )).
fof(t15_matrixj2,axiom,( ! [A] : ( l6_algstr_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( k9_matrixj2(A,B,C) = k5_numbers <=> k2_struct_0(B) = k6_domain_1(u1_struct_0(B),k4_struct_0(B)) ) ) ) ) )).
fof(t15_matrixr1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => A = k4_rvsum_1(k8_rvsum_1(A,B),B) ) ) ) )).
fof(t15_matrixr2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( k3_finseq_1(B) = k1_matrix_0(C) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | r1_xxreal_0(k3_finseq_1(B),k5_numbers) | k4_matrix_3(A,k2_matrix_3(A,C),B) = k2_matrix_3(A,k4_matrix_3(A,C,B)) ) ) ) ) ) )).
fof(t15_matrlin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => k2_matrlin(A,k3_pre_poly(A,B)) = k4_matrix_0(A,k2_matrlin(A,k3_pre_poly(A,B))) ) ) )).
fof(t15_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m2_finseq_1(E,u1_struct_0(D)) => ( C = E => k4_rlvect_1(B,C) = k4_rlvect_1(D,E) ) ) ) ) ) ) )).
fof(t15_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ? [C] : ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r1_matroid0(A,C,B) ) ) ) )).
fof(t15_matrprob,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(C)) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(D)) <=> ( r2_tarski(A,k4_finseq_1(k8_matrix_0(C,D,B))) & r2_tarski(B,k4_finseq_1(k7_matrix_0(C,D,A))) ) ) ) ) ) ) )).
fof(t15_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(D))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k13_fvsum_1(k2_vectsp_1,k1_matrtop1(E),k8_matrix_0(u1_struct_0(k2_vectsp_1),k2_matrtop3(D,A,B,C),B)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E,B),k19_sin_cos(A)),k3_xcmplx_0(k1_funct_1(E,C),k4_xcmplx_0(k17_sin_cos(A)))) ) ) ) ) ) ) ) )).
fof(t15_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v2_mazurulm(D,A,B) & v2_mazurulm(E,B,C) ) => v2_mazurulm(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t15_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r2_pboole(A,C,B) => r2_pboole(A,k4_pboole(A,C,D),B) ) ) ) ) )).
fof(t15_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(C,k2_zfmisc_1(k2_tarski(A,B),D)) => ( ( k1_xtuple_0(C) = A | k1_xtuple_0(C) = B ) & r2_hidden(k2_xtuple_0(C),D) ) ) )).
fof(t15_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & k2_relset_1(k9_setfam_1(A),C) = k1_tarski(B) ) ) )).
fof(t15_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_measure2(D,A,B) => ( ? [E] : ( r2_tarski(E,D) & m2_measure1(E,A,B,C) ) => m2_measure1(k1_measure2(A,B,D),A,B,C) ) ) ) ) )).
fof(t15_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_measure3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_measure3(A,B,C)))) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => r2_tarski(k8_nat_1(B,E,F),k3_measure3(A,B,C,k8_nat_1(k2_measure3(A,B,C),D,F))) ) ) ) ) ) )).
fof(t15_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( k12_supinf_2(B,C) = k1_supinf_2 => r2_tarski(C,k1_measure4(A,B)) ) ) ) )).
fof(t15_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xxreal_0(B) => ( ? [C] : ( v1_xxreal_0(C) & r1_xxreal_0(C,B) & A = k2_xxreal_1(C,B) ) => B = k8_supinf_2(A) ) ) ) )).
fof(t15_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k9_setfam_1(k1_numbers)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(k1_numbers)))) ) => ! [B] : ( m2_measure7(B,A) => r1_xxreal_0(k7_supinf_2(k8_measure7(k5_setfam_1(k1_numbers,k2_relset_1(k9_setfam_1(k1_numbers),A)))),k17_supinf_2(k7_measure7(A,B))) ) ) )).
fof(t15_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_measure8(C,A,B) => m2_measure8(k2_prob_3(A,C),A,B) ) ) )).
fof(t15_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k5_member_1(k2_xboole_0(A,B)) = k2_xboole_0(k5_member_1(A),k5_member_1(B)) ) ) )).
fof(t15_membered,axiom,( ! [A] : ( v3_membered(A) => ( ! [B] : ( v1_xreal_0(B) => r2_hidden(B,A) ) => A = k1_numbers ) ) )).
fof(t15_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => r2_tarski(k4_struct_0(B),k9_xtuple_0(k7_memstr_0(A,B,C))) ) ) ) )).
fof(t15_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) => ( ~ r1_rltopsp1(k15_euclid(2),A,C,B) & ~ r1_rltopsp1(k15_euclid(2),B,A,C) & ~ r1_rltopsp1(k15_euclid(2),B,C,A) & ~ r1_rltopsp1(k15_euclid(2),C,A,B) & ~ r1_rltopsp1(k15_euclid(2),C,B,A) ) ) ) ) ) )).
fof(t15_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)) & v1_mesfunc8(B,A,k6_numbers) & ! [D] : ( v7_ordinal1(D) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,B,D),k7_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,D))) ) ) => ( r2_relset_1(A,k6_numbers,k5_mesfunc8(A,B),k7_mesfunc1(A,k6_mesfunc8(A,C))) & r2_relset_1(A,k6_numbers,k6_mesfunc8(A,B),k7_mesfunc1(A,k5_mesfunc8(A,C))) ) ) ) ) ) )).
fof(t15_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( r2_tarski(k1_relset_1(A,C),B) & r2_tarski(k1_relset_1(A,D),B) ) => r2_tarski(k1_relset_1(A,k2_valued_1(A,k2_numbers,k2_numbers,C,D)),B) ) ) ) ) ) )).
fof(t15_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( r2_tarski(C,k1_relset_1(A,k8_mesfun7c(A,B))) & v2_comseq_2(k10_seqfunc(A,B,C)) ) => ( k12_supinf_2(k8_mesfun7c(A,B),C) = k12_supinf_2(k7_mesfun7c(A,B),C) & k12_supinf_2(k8_mesfun7c(A,B),C) = k12_supinf_2(k6_mesfun7c(A,B),C) ) ) ) ) ) )).
fof(t15_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( v7_ordinal1(E) => r2_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,C,E)) ) => r2_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,C),D)) ) ) ) ) ) )).
fof(t15_mesfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ! [D] : ( v1_xxreal_0(D) => ( r1_tarski(C,k9_xtuple_0(B)) => k9_subset_1(A,C,k16_mesfunc1(A,B,D)) = k6_subset_1(C,k9_subset_1(A,C,k15_mesfunc1(A,B,D))) ) ) ) )).
fof(t15_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( ~ r1_xxreal_0(k12_supinf_2(k1_mesfunc2(A,B),C),k1_supinf_2) => k12_supinf_2(k2_mesfunc2(A,B),C) = k1_supinf_2 ) ) ) ) )).
fof(t15_mesfunc3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( ( v1_prob_2(D) & m2_finseq_1(D,B) ) => ! [E] : ( m2_finseq_1(E,k6_numbers) => ! [F] : ( m1_subset_1(F,A) => ~ ( r1_mesfunc3(A,B,C,D,E) & r2_tarski(F,k1_relset_1(A,C)) & ! [G] : ( m2_finseq_1(G,k6_numbers) => ~ ( k4_finseq_1(G) = k4_finseq_1(E) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k12_supinf_2(G,H) = k1_extreal1(k12_supinf_2(E,H),k12_supinf_2(k3_mesfunc2(k1_funct_1(D,H),A),F)) ) ) & k12_supinf_2(C,F) = k4_extreal1(G) ) ) ) ) ) ) ) ) ) )).
fof(t15_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v6_supinf_2(C) => v6_supinf_2(k2_partfun1(A,k6_numbers,C,B)) ) ) ) )).
fof(t15_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_tarski(D,k1_relset_1(A,C)) => ( r1_mesfunc6(A,B,C,D) <=> ! [E] : ( v1_xreal_0(E) => r2_tarski(k8_subset_1(A,D,k12_mesfunc1(C,E)),B) ) ) ) ) ) ) ) )).
fof(t15_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( k9_subset_1(A,k1_relset_1(A,C),k1_relset_1(A,D)) = E & v3_valued_0(C) & v3_valued_0(D) & r1_mesfunc1(A,B,C,E) & r1_mesfunc1(A,B,D,E) ) => r1_mesfunc1(A,B,k5_mesfunc1(A,C,D),E) ) ) ) ) ) ) )).
fof(t15_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),D,F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k16_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,F),E)) ) => k3_tarski(k2_relset_1(B,D)) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k16_mesfunc1(A,k2_mesfunc8(A,C),E)) ) ) ) ) ) ) )).
fof(t15_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( r1_tarski(D,k1_relset_1(A,E)) & r1_tarski(D,k1_relset_1(A,F)) & r1_mesfunc1(A,B,E,D) & r1_mesfunc1(A,B,F,D) & v6_supinf_2(E) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,D) => r1_xxreal_0(k12_supinf_2(E,G),k12_supinf_2(F,G)) ) ) ) => r1_xxreal_0(k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,E,D)),k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,F,D))) ) ) ) ) ) ) ) )).
fof(t15_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( l1_metric_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_tarski(k10_metric_1(B,C,A),k9_metric_1(B,C,A)) ) ) ) )).
fof(t15_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_tarski(A,k2_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k1_metric_2(B,C) ) ) ) )).
fof(t15_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ! [E] : ( m1_subset_1(E,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,k13_metric_3(A,B,C),D,E) = k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,k13_metric_3(A,B,C),E,D) ) ) ) ) ) )).
fof(t15_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_metric_6(A,C,B) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => r2_metric_6(A,k8_metric_1(A,B,D),C) ) ) ) ) ) ) )).
fof(t15_metrizts,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v2_tex_2(C,B) => r1_ordinal1(k1_card_1(C),A) ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ( ( v1_tops_2(C,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => ( D = E | r1_xboole_0(D,E) ) ) ) ) ) => ( r2_tarski(k1_xboole_0,C) | r1_ordinal1(k1_card_1(C),A) ) ) ) ) ) ) )).
fof(t15_mfold_2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(C) = k3_finseq_1(D) ) => k22_rvsum_1(k8_finseq_1(k1_numbers,A,C),k8_finseq_1(k1_numbers,B,D)) = k2_xcmplx_0(k22_rvsum_1(A,B),k22_rvsum_1(C,D)) ) ) ) ) ) )).
fof(t15_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_midsp_1(A,B,C,D,E) ) ) ) ) ) )).
fof(t15_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(k15_midsp_1(A))) <=> m1_midsp_1(B,A) ) & k4_struct_0(k15_midsp_1(A)) = k6_midsp_1(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(k15_midsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_midsp_1(A))) => ! [D] : ( m1_midsp_1(D,A) => ! [E] : ( m1_midsp_1(E,A) => ( ( B = D & C = E ) => k3_rlvect_1(k15_midsp_1(A),B,C) = k7_midsp_1(A,D,E) ) ) ) ) ) ) ) )).
fof(t15_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [E] : ( ( v4_midsp_2(E,B) & l1_midsp_2(E,B) ) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(B,E)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,E)))) => ( k8_midsp_3(A,B,E,C,D) = F <=> k7_midsp_3(A,B,E,C,F) = D ) ) ) ) ) ) ) )).
fof(t15_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r2_hidden(A,k10_xtuple_0(B)) => k6_mmlquer2(B,A) = k5_numbers ) ) )).
fof(t15_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(F,G) & r1_tarski(B,C) & r1_relset_1(A,A,D,E) ) => r1_tarski(k11_mmlquery(A,B,E,F),k11_mmlquery(A,C,D,G)) ) ) ) ) ) ) ) )).
fof(t15_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v2_mod_2(B,A) & v3_mod_2(B,A) & l1_mod_2(B,A) ) => ! [C] : ( ( v2_mod_2(C,A) & v3_mod_2(C,A) & l1_mod_2(C,A) ) => ( k2_mod_2(A,C) = k3_mod_2(A,B) => ( k2_mod_2(A,k8_mod_2(A,C,B)) = k2_mod_2(A,B) & k3_mod_2(A,k8_mod_2(A,C,B)) = k3_mod_2(A,C) ) ) ) ) ) )).
fof(t15_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( v1_vectsp_7(k6_domain_1(u1_struct_0(B),C),A,B) <=> C != k4_struct_0(B) ) ) ) ) )).
fof(t15_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_vectsp_2(D,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( ( C = k5_mod_4(B,D) & E = F & G = H ) => k4_vectsp_2(B,D,F,H) = k3_vectsp_1(A,C,E,G) ) ) ) ) ) ) ) ) ) )).
fof(t15_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ( r2_tarski(C,A) => ! [D] : ( m1_trees_1(D,k5_trees_1(A,C,B)) => ! [E] : ( m1_trees_1(E,B) => ( D = k8_finseq_1(k4_ordinal1,C,E) => r2_wellord2(k1_trees_2(k5_trees_1(A,C,B),D),k1_trees_2(B,E)) ) ) ) ) ) ) ) )).
fof(t15_modcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(k11_modcat_1(A,B))) => ! [D] : ( m4_modcat_1(D,B,k4_modcat_1(B,k3_modcat_1(A,B))) => ( C = D => ( k3_graph_1(k11_modcat_1(A,B),C) = k2_mod_2(B,D) & k4_graph_1(k11_modcat_1(A,B),C) = k3_mod_2(B,D) ) ) ) ) ) ) )).
fof(t15_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,D))) => ( r3_modelc_1(A,B,D,C,k26_modelc_1(k48_modelc_1(A,B,D),E)) <=> ? [F] : ( m1_modelc_1(F,A,B) & k3_funct_2(k4_ordinal1,A,F,k5_numbers) = C & ! [G] : ( m1_subset_1(G,k4_ordinal1) => r3_modelc_1(A,B,D,k3_funct_2(k4_ordinal1,A,F,G),E) ) ) ) ) ) ) ) ) )).
fof(t15_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r1_modelc_2(C,k4_modelc_2(A,B)) <=> ( C = A | C = B ) ) ) ) ) )).
fof(t15_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(A))) => ( r1_tarski(B,C) => r1_xxreal_0(k18_modelc_3(A,B),k18_modelc_3(A,C)) ) ) ) ) )).
fof(t15_moebius1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( ~ r2_tarski(B,k22_pre_poly(k8_newton,k13_nat_3(A))) => k11_nat_3(A,B) = k5_numbers ) ) ) )).
fof(t15_moebius2,axiom,( k10_newton(3) = 7 )).
fof(t15_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( v3_group_1(A) => ( v13_monoid_0(A) <=> ( v1_group_1(A) & v1_finseqop(u2_algstr_0(A),u1_struct_0(A)) ) ) ) ) )).
fof(t15_monoid_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( r1_lattice2(B,C,D) => r1_lattice2(k9_funct_2(A,B),k8_monoid_1(B,B,B,C,A),k8_monoid_1(B,B,B,D,A)) ) ) ) ) )).
fof(t15_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_tarski(k2_morph_01(A,C,k6_setfam_1(u1_struct_0(A),B)),k1_setfam_1(a_3_6_morph_01(A,B,C))) ) ) ) )).
fof(t15_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k3_tarski(k10_xtuple_0(k13_msafree(A,B))) = a_2_0_msafree(A,B) ) ) )).
fof(t15_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => r8_pboole(u1_struct_0(A),k4_msafree3(A,B,C),k3_msafree3(A,B,C)) ) ) ) )).
fof(t15_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) => ! [D] : ( m2_finseq_1(D,A) => r2_pboole(k4_finseq_1(D),k3_relat_1(D,B),k3_relat_1(D,C)) ) ) ) ) )).
fof(t15_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_trees_3(A) ) => k3_trees_1(k11_trees_3(A)) = a_1_1_msafree5(A) ) )).
fof(t15_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( r2_tarski(F,k1_funct_1(u3_msualg_1(A,C),E)) & D = k1_trees_4(k4_tarski(F,E)) ) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B),D) = E ) ) ) ) ) ) )).
fof(t15_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v7_graph_1(C,A) & m1_graph_1(C,A) ) => ( k1_funct_1(k7_graph_2(A,B),k1_nat_1(k3_finseq_1(B),1)) = k1_funct_1(k7_graph_2(A,C),1) <=> ( ~ v1_xboole_0(k7_finseq_1(B,C)) & v7_graph_1(k7_finseq_1(B,C),A) & m1_graph_1(k7_finseq_1(B,C),A) ) ) ) ) ) )).
fof(t15_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( v1_relat_1(k8_pboole(B,C)) & v4_relat_1(k8_pboole(B,C),A) & v1_funct_1(k8_pboole(B,C)) & v1_partfun1(k8_pboole(B,C),A) & v1_funcop_1(k8_pboole(B,C)) ) ) ) )).
fof(t15_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_msualg_2(k9_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( C = u1_struct_0(A) => u1_unialg_1(A) = k3_unialg_2(B,C) ) ) ) ) ) )).
fof(t15_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => r2_pboole(u1_struct_0(A),k2_pboole(u1_struct_0(A),k2_msualg_2(A,B),C),k9_msualg_2(A,B,C)) ) ) ) )).
fof(t15_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ( ( r4_msualg_3(A,B,C,E) & r4_msualg_3(A,C,D,F) ) => r4_msualg_3(A,B,D,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),u3_msualg_1(A,D),E,F)) ) ) ) ) ) ) ) )).
fof(t15_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( ( v2_msualg_4(D,A,B) & v3_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_msualg_4(k4_msualg_5(u1_struct_0(A),u3_msualg_1(A,B),C,D),A,B) & v3_msualg_4(k4_msualg_5(u1_struct_0(A),u3_msualg_1(A,B),C,D),A,B) & m1_msualg_4(k4_msualg_5(u1_struct_0(A),u3_msualg_1(A,B),C,D),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) ) ) )).
fof(t15_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),C,D) => ! [E] : ( m1_rewrite1(E,k3_msualg_6(A)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v1_funcop_1(F) ) => ( ( k3_finseq_1(E) = k1_nat_1(k3_finseq_1(F),1) & C = k1_funct_1(E,1) & D = k1_funct_1(E,k3_finseq_1(E)) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r2_tarski(G,k4_finseq_1(F)) & H = k1_funct_1(F,G) & I = k1_funct_1(E,G) & J = k1_funct_1(E,k1_nat_1(G,1)) ) => r1_msualg_6(A,I,J,B,H) ) ) ) ) ) ) => m2_msualg_6(k3_funct_7(k1_funct_1(u3_msualg_1(A,B),C),F),A,B,C,D) ) ) ) ) ) ) ) ) )).
fof(t15_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v2_msualg_7(B,A) => v4_lattice3(B) ) ) ) )).
fof(t15_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_msualg_5(A,B)))) => k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C) = k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),a_3_2_msualg_8(A,B,C)) ) ) ) )).
fof(t15_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & m1_msualg_2(D,A,B) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ( r1_msualg_3(A,C,D,E) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),E,F) => r1_msualg_3(A,C,B,F) ) ) ) ) ) ) ) ) )).
fof(t15_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_unialg_2(A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(k6_msualg_1(A))) => ! [E] : ( m1_subset_1(E,k3_msualg_1(k6_msualg_1(A),D,k9_msualg_1(A))) => k5_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),D,k2_msuhom_1(A,B,C),E) = k3_relat_1(E,C) ) ) ) ) ) ) )).
fof(t15_mycielsk,axiom,( ! [A] : ( ( v3_dilworth(A) & v1_mycielsk(A) & l1_orders_2(A) ) => r1_xxreal_0(k1_dilworth(A),k2_mycielsk(A)) ) )).
fof(t15_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_pcomps_1(A) => ( v9_pre_topc(A) & v7_pre_topc(A) ) ) ) )).
fof(t15_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)))) ) => ( ! [D] : ( v7_ordinal1(D) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r2_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,k1_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,C,D),E) & r1_nagata_1(u1_struct_0(A),E) & ! [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => r1_xxreal_0(k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,E,F),B) ) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( r1_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,E,F) => v1_pscomp_1(F,k2_borsuk_1(A,A)) ) ) ) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) => ( ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,D,E) = k4_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_prepower(k7_xcmplx_0(1,2)),k10_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),C,E))) ) => ( r1_nagata_1(u1_struct_0(A),D) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( r1_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,D,E) => v1_pscomp_1(E,k2_borsuk_1(A,A)) ) ) ) ) ) ) ) ) ) )).
fof(t15_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( k3_xcmplx_0(A,B) = 1 => A = 1 ) ) ) )).
fof(t15_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_nat_d(B,C) & r1_xxreal_0(1,C) & r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) => k3_nat_d(k7_nat_d(C,A),B) = k6_xcmplx_0(k3_nat_d(C,B),1) ) ) ) ) )).
fof(t15_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => k21_rvsum_1(k2_nat_3(B,A)) = k1_newton(k21_rvsum_1(B),A) ) ) )).
fof(t15_nat_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( k4_nat_d(k1_newton(A,C),B) = 1 & r1_xxreal_0(1,C) & v1_int_2(B) ) => r1_int_2(A,B) ) ) ) ) )).
fof(t15_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(C,k3_moebius1(A)) & r2_tarski(E,k3_moebius1(B)) & r2_tarski(D,k3_moebius1(A)) & r2_tarski(F,k3_moebius1(B)) & r1_int_2(A,B) & k3_xcmplx_0(C,E) = k3_xcmplx_0(D,F) ) => ( C = D & E = F ) ) ) ) ) ) ) ) )).
fof(t15_nat_6,axiom,( ! [A] : ( v1_int_1(A) => ( r2_int_1(k1_newton(A,2),k5_numbers,3) | r2_int_1(k1_newton(A,2),1,3) ) ) )).
fof(t15_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k2_nat_d(A,D) = k5_numbers & B = k6_xcmplx_0(A,k3_xcmplx_0(C,D)) ) => k2_nat_d(B,D) = k5_numbers ) ) ) ) ) )).
fof(t15_nat_lat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => m2_nat_lat(A,A) ) )).
fof(t15_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k9_cat_3(A,D,D,B,C,k4_cat_1(A,D)) = k4_cat_1(B,k8_cat_1(A,B,C,D)) ) ) ) ) )).
fof(t15_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_1(B,k4_finseq_2(A,k5_margrel1)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_nbvectsp(A)))) => ( ( k3_finseq_1(B) = A & v2_funct_1(B) & k4_card_1(k2_relset_1(k4_finseq_2(A,k5_margrel1),B)) = A & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(A)) & r2_tarski(E,k2_finseq_1(A)) ) => ( ( D = E => k1_funct_1(k1_funct_1(B,D),E) = k7_margrel1 ) & ( D != E => k1_funct_1(k1_funct_1(B,D),E) = k6_margrel1 ) ) ) ) ) & r1_tarski(C,k2_relset_1(k4_finseq_2(A,k5_margrel1),B)) ) => ( m1_vectsp_4(k1_vectsp_7(k2_bspace,k5_nbvectsp(A),C),k2_bspace,k5_nbvectsp(A)) & v2_vectsp_7(C,k2_bspace,k1_vectsp_7(k2_bspace,k5_nbvectsp(A),C)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_vectsp_7(k2_bspace,k5_nbvectsp(A),C)))) & k1_vectsp_9(k2_bspace,k1_vectsp_7(k2_bspace,k5_nbvectsp(A),C)) = k4_card_1(C) ) ) ) ) ) )).
fof(t15_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_ncfcont1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_nfcont_1(E,B,k7_partfun1(u1_struct_0(B),C,D)) => ? [F] : ( m1_ncfcont1(F,A,D) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(G,k1_relset_1(u1_struct_0(A),C)) & r2_tarski(G,F) ) => r2_tarski(k7_partfun1(u1_struct_0(B),C,G),E) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r3_ncfcont2(A,B,C,D) => r3_ncfcont2(A,B,C,k5_vfunct_1(u1_struct_0(B),C,D)) ) ) ) ) )).
fof(t15_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_ndiff_3(A,C,B) & r1_ndiff_3(A,D,B) ) => ( r1_ndiff_3(A,k2_vfunct_1(k1_numbers,A,C,D),B) & k1_ndiff_3(A,k2_vfunct_1(k1_numbers,A,C,D),B) = k5_algstr_0(A,k1_ndiff_3(A,C,B),k1_ndiff_3(A,D,B)) ) ) ) ) ) ) )).
fof(t15_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k7_integr15(A,k1_numbers,C,D))) & r2_ndiff_4(A,C,B) & r2_ndiff_4(A,D,B) ) => ( r2_ndiff_4(A,k7_integr15(A,k1_numbers,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_ndiff_4(A,k7_integr15(A,k1_numbers,C,D),B),E) = k7_euclid(A,k1_ndiff_4(A,C,E),k1_ndiff_4(A,D,E)) ) ) ) ) ) ) ) ) )).
fof(t15_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_prvect_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,k4_card_3(k4_prvect_2(A))) => ! [E] : ( m1_subset_1(E,k4_card_3(k4_prvect_2(A))) => ! [F] : ( m1_subset_1(F,k4_card_3(k4_prvect_2(A))) => ( ( B = E & C = F ) => ( k5_algstr_0(k14_prvect_2(A),B,C) = D <=> ! [G] : ( m2_subset_1(G,k4_ordinal1,k4_finseq_1(A)) => k1_ndiff_5(A,D,G) = k5_algstr_0(k3_prvect_2(A,G),k1_ndiff_5(A,E,G),k1_ndiff_5(A,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(t15_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_ndiff_6(A,B,C,D,1) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & r2_ndiff_1(D,A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D)) ) ) ) ) ) ) )).
fof(t15_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(E,A,B) & v1_lopban_1(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_funct_1(E) & v2_funct_2(E,u1_struct_0(B)) & v1_mazurulm(E,A,B) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,F),k1_relset_1(u1_struct_0(B),D)) => ( r1_nfcont_1(A,C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),E,D),F) <=> r1_nfcont_1(B,C,D,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,F)) ) ) ) ) ) ) ) ) ) )).
fof(t15_neckla_3,axiom,( ! [A] : ( ( v1_orders_2(A) & v3_necklace(A) & l1_orders_2(A) ) => ( v7_struct_0(A) => k3_necklace(A) = A ) ) )).
fof(t15_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => v2_necklace(k1_necklace(A)) ) )).
fof(t15_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ~ ( k2_net_1(A) != k1_xboole_0 & k5_net_1(A,B) != k1_tarski(B) & k5_net_1(A,B) != k3_net_1(A,B) ) ) ) )).
fof(t15_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k2_newton(k1_nat_1(A,1)) = k3_xcmplx_0(k2_newton(A),k1_nat_1(A,1)) ) )).
fof(t15_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(k1_newton(k2_xcmplx_0(k7_xcmplx_0(k1_newton(B,A),2),k7_xcmplx_0(B,2)),2),k1_newton(k6_xcmplx_0(k7_xcmplx_0(k1_newton(B,A),2),k7_xcmplx_0(B,2)),2)) = k1_newton(B,k2_xcmplx_0(A,1)) ) ) )).
fof(t15_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_nfcont_1(A,B,C,E) & r1_nfcont_1(A,B,D,E) ) => ( r1_nfcont_1(A,B,k6_vfunct_1(u1_struct_0(A),B,C,D),E) & r1_nfcont_1(A,B,k2_vfunct_1(u1_struct_0(A),B,C,D),E) ) ) ) ) ) ) ) )).
fof(t15_nfcont_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( ? [C] : ( v7_ordinal1(C) & v1_funct_1(k1_abian(u1_struct_0(A),B,C)) & v1_funct_2(k1_abian(u1_struct_0(A),B,C),u1_struct_0(A),u1_struct_0(A)) & v1_nfcont_2(k1_abian(u1_struct_0(A),B,C),A) & m1_subset_1(k1_abian(u1_struct_0(A),B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D) = D => C = D ) ) ) ) ) ) ) )).
fof(t15_nfcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E))) & r1_nfcont_3(B,D,A) & r1_nfcont_1(B,C,E,k7_partfun1(u1_struct_0(B),D,A)) ) => r1_nfcont_3(C,k1_partfun1(k1_numbers,u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A) ) ) ) ) ) ) )).
fof(t15_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r2_hidden(B,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k1_relset_1(k1_numbers,D))) & r1_nfcont_4(A,C,B) & r1_nfcont_4(A,D,B) ) => r1_nfcont_4(A,k8_integr15(A,k1_numbers,C,D),B) ) ) ) ) ) )).
fof(t15_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(A,B)) => ( r1_normform(A,B,C,k1_normform(A,B,D,E)) => r1_normform(A,B,k3_normform(A,B,C,E),D) ) ) ) ) ) ) )).
fof(t15_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k10_xtuple_0(B) = k6_domain_1(u1_struct_0(A),C) ) => ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k1_nat_1(C,1)) ) ) ) ) )).
fof(t15_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) => ( B = C => ( v2_nfcont_1(B,A) <=> v4_pre_topc(C,k3_normsp_2(A)) ) ) ) ) ) )).
fof(t15_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ( B = C => ( v1_normsp_3(B,A) <=> v1_tops_1(C,k4_normsp_2(A)) ) ) ) ) ) )).
fof(t15_ntalgo_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k2_zfmisc_1(k4_numbers,k4_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,k4_numbers) ) => ! [D] : ( m1_subset_1(D,k4_numbers) => ! [E] : ( m1_subset_1(E,k4_numbers) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(A) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(k3_finseq_1(A))) & k1_funct_1(C,F) = k5_numbers ) ) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(A))) => ( k1_xtuple_0(k1_funct_1(A,F)) = k1_funct_1(B,F) & k2_xtuple_0(k1_funct_1(A,F)) = k1_funct_1(C,F) ) ) ) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r2_tarski(F,k2_finseq_1(k3_finseq_1(A))) & r2_tarski(G,k2_finseq_1(k3_finseq_1(A))) ) => ( F = G | r1_int_2(k1_funct_1(C,F),k1_funct_1(C,G)) ) ) ) ) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k2_finseq_1(k3_finseq_1(A))) => k5_int_1(D,k1_funct_1(C,F)) = k5_int_1(k1_funct_1(B,F),k1_funct_1(C,F)) ) ) & E = k19_rvsum_1(C) ) => k5_int_1(k4_ntalgo_1(A),E) = k5_int_1(D,E) ) ) ) ) ) ) )).
fof(t15_numbers,axiom,( r1_tarski(k4_numbers,k1_numbers) )).
fof(t15_numeral2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( k5_int_1(A,D) = k5_int_1(B,D) => k5_int_1(k2_xcmplx_0(C,A),D) = k5_int_1(k2_xcmplx_0(C,B),D) ) ) ) ) ) )).
fof(t15_numpoly1,axiom,( k1_numpoly1(5) = 15 )).
fof(t15_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_o_ring_1(B,A) & v11_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t15_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(k8_openlatt(A),k4_lattices(A,B,C)) = k3_xboole_0(k1_funct_1(k8_openlatt(A),B),k1_funct_1(k8_openlatt(A),C)) ) ) ) )).
fof(t15_oposet_1,axiom,( v11_oposet_1(k1_oposet_1) )).
fof(t15_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_oppcat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_oppcat_1(A))) => ! [D] : ( m1_cat_1(D,k2_oppcat_1(A),B,C) => ( k2_cat_1(k2_oppcat_1(A),B,C) != k1_xboole_0 => m1_cat_1(k6_oppcat_1(A,D),A,k4_oppcat_1(A,C),k4_oppcat_1(A,B)) ) ) ) ) ) )).
fof(t15_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_ordeq_01(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_ordeq_01(A,B))) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_nfcont_3(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( F = C & G = D & H = E & k1_relset_1(k1_numbers,F) = A & k1_relset_1(k1_numbers,G) = A & k1_relset_1(k1_numbers,H) = A ) => ( E = k1_algstr_0(k5_ordeq_01(A,B),C,D) <=> ! [I] : ( m2_subset_1(I,k1_numbers,A) => k7_partfun1(u1_struct_0(B),H,I) = k3_rlvect_1(B,k7_partfun1(u1_struct_0(B),F,I),k7_partfun1(u1_struct_0(B),G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_nfcont_3(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r2_hidden(B,k1_relset_1(k1_numbers,C)) => k6_integr18(A,C,B,B) = k4_struct_0(A) ) ) ) ) )).
fof(t15_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k1_relat_1(B) = A ) )).
fof(t15_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => k1_orders_2(A,k2_struct_0(A)) = k1_xboole_0 ) )).
fof(t15_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => r3_xboole_0(A,B) ) ) )).
fof(t15_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => r1_ordinal1(A,C) ) ) => ( k2_ordinal1(B) = k5_ordinal1 | r1_ordinal1(A,k2_ordinal2(B)) ) ) ) )).
fof(t15_ordinal3,axiom,( 1 = k1_tarski(k1_xboole_0) )).
fof(t15_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( v2_ordinal2(A) => v2_ordinal2(k5_relat_1(A,B)) ) ) ) )).
fof(t15_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( v4_ordinal1(B) => ( B = k5_numbers | ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) ) => ( ( k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k1_ordinal5(A,D) ) ) ) => k1_ordinal5(A,B) = k8_ordinal2(C) ) ) ) ) ) ) )).
fof(t15_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => k1_ordinal6(k1_tarski(A)) = 1 ) )).
fof(t15_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_orders_2(B,D,C) & F != k4_struct_0(A) & k1_ortsp_1(A,B,k3_vectsp_1(A,B,F,C),D,E) != k1_ortsp_1(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(t15_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( r2_tarski(D,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),C)) => m1_dtconstr(D,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) ) ) ) ) )).
fof(t15_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ( v2_relat_1(k3_osalg_1(A,B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,C,D) => r1_tarski(k1_funct_1(k3_osalg_1(A,B),C),k1_funct_1(k3_osalg_1(A,B),D)) ) ) ) ) ) ) )).
fof(t15_osalg_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m3_pboole(C,A,B) <=> r2_tarski(C,k4_card_3(k1_mboolean(A,B))) ) ) )).
fof(t15_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ~ ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) & ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D))) => ~ ( r8_pboole(u1_struct_0(A),D,E) & v1_osalg_3(E,A) & r2_msualg_3(A,B,k6_msualg_3(A,B,C,D),E) ) ) ) ) ) ) ) )).
fof(t15_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( r2_msualg_3(A,B,k16_osalg_4(A,B,C),k18_osalg_4(A,B,C)) & v1_osalg_3(k18_osalg_4(A,B,C),A) ) ) ) ) )).
fof(t15_papdesaf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( v4_aff_2(A) => v7_aff_2(A) ) ) )).
fof(t15_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_parsp_1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_parsp_1(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k9_parsp_1(A))) => ~ ( r1_parsp_1(k9_parsp_1(A),B,C,D,E) & r1_parsp_1(k9_parsp_1(A),B,C,F,G) & ~ r1_parsp_1(k9_parsp_1(A),D,E,F,G) & B != C ) ) ) ) ) ) ) ) )).
fof(t15_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_parsp_2(A,B,C,D) & r1_parsp_2(A,B,C,E) ) => r1_parsp_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t15_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ~ ( r2_hidden(A,k7_relat_1(D,B)) & ! [E] : ( m1_subset_1(E,B) => ~ ( r2_tarski(E,k1_relset_1(B,D)) & A = k1_funct_1(D,E) ) ) ) ) )).
fof(t15_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_relset_1(B,C,E,k2_partfun1(B,C,D,A)) <=> ( k1_relset_1(B,E) = k8_subset_1(B,k1_relset_1(B,D),A) & ! [F] : ( m1_subset_1(F,B) => ( r2_tarski(F,k1_relset_1(B,E)) => k7_partfun1(C,E,F) = k7_partfun1(C,D,F) ) ) ) ) ) ) ) ) )).
fof(t15_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => r1_setfam_1(k2_partit1(A,B,C),B) ) ) ) )).
fof(t15_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r2_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,E),C,D)) ) ) ) ) ) ) )).
fof(t15_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_diraf(A,F,D,C) & r2_analoaf(A,D,E,C,B) & r2_analoaf(A,F,E,F,B) ) => ( r3_diraf(A,F,B,C) | F = D | r1_diraf(A,F,E,B) ) ) ) ) ) ) ) ) )).
fof(t15_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,k3_pboole(A,B,C),B) ) ) )).
fof(t15_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => k1_pcomps_1(A,k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)) = k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_pcomps_1(A,B),k1_pcomps_1(A,C)) ) ) ) )).
fof(t15_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => k19_pcs_0(A,B) = g2_pcs_0(k2_xboole_0(u1_struct_0(A),u1_struct_0(B)),k2_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B)),k2_pcs_0(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_pcs_0(A),u1_pcs_0(B))) ) ) )).
fof(t15_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1))))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( ( C = k3_pdiff_1(A,D) & E = F & r2_pdiff_1(1,A,B,C,E) ) => k1_funct_1(k9_pdiff_1(A,1,B,C,E),k12_finseq_1(k4_ordinal1,1)) = k9_finseq_1(k10_pdiff_1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t15_pdiff_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_euclid(2))) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r1_pdiff_2(B,A) => ( r1_tarski(A,k1_relset_1(k1_euclid(2),B)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(2)) => ( r2_tarski(C,A) => r3_pdiff_1(2,1,B,C) ) ) ) ) ) ) )).
fof(t15_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r3_pdiff_3(B,A) => k4_pdiff_3(B,A) = k10_pdiff_1(2,1,k1_pdiff_3(2,2,B),A) ) ) ) )).
fof(t15_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ( r3_pdiff_1(3,3,A,B) <=> ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & B = k11_finseq_1(C,D,E) & ? [F] : ( m1_rcomp_1(F,E) & r1_tarski(F,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,A,B))) & ? [G] : ( v1_funct_1(G) & v3_fdiff_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [H] : ( v1_funct_1(H) & v2_fdiff_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,F) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,A,B),I),k1_funct_1(k1_pdiff_2(3,3,A,B),E)) = k2_xcmplx_0(k1_funct_1(G,k6_xcmplx_0(I,E)),k1_funct_1(H,k6_xcmplx_0(I,E))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r6_pdiff_5(E,D) ) => k6_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,3,k1_pdiff_3(2,3,E),D),C) ) ) ) ) ) ) )).
fof(t15_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ~ ( k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),1) & k17_finseq_1(k1_euclid(A),k3_finseq_1(C),B) = C & ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ~ ( D = k1_funct_1(B,k3_finseq_1(B)) & k5_euclid_7(A,B) = k7_euclid(A,k5_euclid_7(A,C),D) ) ) ) ) ) ) )).
fof(t15_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => k1_funct_1(k6_pdiff_1(A,D,k5_euclid(A)),k3_xcmplx_0(C,B)) = k24_valued_1(k1_funct_1(k6_pdiff_1(A,D,k5_euclid(A)),B),C) ) ) ) ) ) )).
fof(t15_pdiff_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,B) ) => r1_xxreal_0(k9_complex1(k1_funct_1(C,D)),A) ) ) => r1_xxreal_0(k12_euclid(C),k3_xcmplx_0(B,A)) ) ) ) ) )).
fof(t15_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( ( r1_pdiff_6(C,B,A,D) & r1_pdiff_6(C,B,A,E) ) => ( r1_pdiff_6(C,B,A,k7_integr15(B,k1_euclid(A),D,E)) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_tarski(F,C) => k7_partfun1(k9_funct_2(k1_euclid(A),k1_euclid(B)),k1_pdiff_9(A,B,C,k7_integr15(B,k1_euclid(A),D,E)),F) = k7_integr15(B,k1_euclid(A),k8_pdiff_1(A,B,D,F),k8_pdiff_1(A,B,E,F)) ) ) ) ) ) ) ) ) ) )).
fof(t15_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ~ ( ~ ! [C] : ( m1_subset_1(C,A) => v3_pencil_1(k1_pencil_1(A,B,C)) ) & v3_pencil_1(k5_pencil_1(A,B)) ) ) ) )).
fof(t15_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_zfmisc_1(C) & v1_zfmisc_1(k8_relset_1(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) ) )).
fof(t15_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => v3_card_1(k1_funct_1(k1_pzfmisc1(A,B),C),1) ) ) ) )).
fof(t15_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( m1_vectsp_4(C,A,D) => ! [E] : ( v7_ordinal1(E) => ( ( k1_nat_1(k1_vectsp_9(A,C),1) = E & k1_vectsp_9(A,D) = k1_nat_1(E,1) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_struct_0(D,F) => ( r1_struct_0(C,F) | r2_tarski(k1_vectsp_5(A,B,C,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),F))),k3_pencil_4(A,B,C,D,E)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( v1_int_2(B) & k4_nat_d(A,B) = k4_xcmplx_0(1) ) => k4_nat_d(k1_square_1(A),B) = 1 ) ) ) )).
fof(t15_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k7_petri(k11_petri(A),k12_petri(A,B)) = k6_petri(A,B) ) ) )).
fof(t15_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v3_petri_df(A) & l1_petri(A) ) => ! [B] : ( ( v2_petri_df(B,A) & m2_finseq_1(B,k2_net_1(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( v1_finseq_6(B,k2_net_1(A)) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,k2_petri_df(A,B)) & ( r2_tarski(k1_domain_1(u1_struct_0(A),u4_struct_0(A),D,C),u1_petri(A)) | r2_tarski(k1_domain_1(u4_struct_0(A),u1_struct_0(A),C,D),u2_petri(A)) ) ) ) | r2_tarski(C,k3_petri_df(A,B)) ) ) ) ) ) )).
fof(t15_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r2_pnproc_1(A,B,C) => r1_pnproc_1(A,C,k2_pnproc_1(A,k3_pnproc_1(A,C,B),B)) ) ) ) )).
fof(t15_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_polyalg1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( ( D = F & E = G ) => k1_algstr_0(B,D,E) = k1_algstr_0(C,F,G) ) ) ) ) ) ) ) ) )).
fof(t15_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( ( k4_polyeq_1(A,B,C,D,E) = k5_numbers & k4_complex1(E) = k5_numbers ) => ( A = k5_numbers | ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ~ ( H = k2_xcmplx_0(k3_complex1(E),k7_xcmplx_0(B,k3_xcmplx_0(3,A))) & k3_complex1(E) = k6_xcmplx_0(k2_xcmplx_0(F,G),k7_xcmplx_0(B,k3_xcmplx_0(3,A))) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,F),G),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(3,k1_square_1(A)))) = k5_numbers & E != k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(6,k1_square_1(A)))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))),4),k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(9,k1_square_1(A))),3))))),k1_power(3,k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(6,k1_square_1(A)))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))),4),k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(9,k1_square_1(A))),3)))))),k7_xcmplx_0(B,k3_xcmplx_0(3,A))),k3_xcmplx_0(k5_numbers,k7_complex1)) & E != k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(6,k1_square_1(A)))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))),4),k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(9,k1_square_1(A))),3))))),k1_power(3,k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(6,k1_square_1(A)))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))),4),k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(9,k1_square_1(A))),3)))))),k7_xcmplx_0(B,k3_xcmplx_0(3,A))),k3_xcmplx_0(k5_numbers,k7_complex1)) & E != k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_power(3,k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(6,k1_square_1(A)))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))),4),k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(9,k1_square_1(A))),3))))),k1_power(3,k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(6,k1_square_1(A)))),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))),4),k1_newton(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(9,k1_square_1(A))),3)))))),k7_xcmplx_0(B,k3_xcmplx_0(3,A))),k3_xcmplx_0(k5_numbers,k7_complex1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( k2_xcmplx_0(k1_newton(A,E),k1_newton(B,E)) = C & k3_xcmplx_0(k1_newton(A,E),k1_newton(B,E)) = D & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D))) & ~ v1_abian(E) & ~ ( A = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) & B = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) ) & ~ ( A = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) & B = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) ) ) ) ) ) ) ) )).
fof(t15_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ! [H] : ( v1_xcmplx_0(H) => ! [I] : ( v1_xcmplx_0(I) => ( ( G = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,C),k1_newton(D,2)),9) & H = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,D),C),k3_xcmplx_0(2,k1_newton(D,3))),k3_xcmplx_0(27,B)),54) & I = k1_polyeq_5(2,k2_xcmplx_0(k1_newton(G,3),k1_newton(H,2))) & E = k1_polyeq_5(3,k2_xcmplx_0(H,I)) & F = k4_xcmplx_0(k7_xcmplx_0(G,E)) ) => ( G = k5_numbers | ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ~ ( A != k6_xcmplx_0(k2_xcmplx_0(E,F),k7_xcmplx_0(D,3)) & A != k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(E,F),2)),k7_xcmplx_0(D,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(E,F),k1_polyeq_5(2,3)),k7_complex1),2)) & A != k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(E,F),2)),k7_xcmplx_0(D,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(E,F),k1_polyeq_5(2,3)),k7_complex1),2)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_polyform,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => k1_funct_1(C,D) = k2_xcmplx_0(k1_funct_1(A,D),k1_funct_1(B,D)) ) ) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(C),D) | k1_funct_1(B,D) = k4_xcmplx_0(k1_funct_1(A,k2_xcmplx_0(D,1))) ) ) ) ) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | k16_rvsum_1(C) = k2_xcmplx_0(k1_funct_1(A,1),k1_funct_1(B,k3_finseq_1(C))) ) ) ) ) ) )).
fof(t15_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => k4_polynom1(A,B,k5_polynom1(A,B,C,D),E) = k1_algstr_0(B,k4_polynom1(A,B,C,E),k4_polynom1(A,B,D,E)) ) ) ) ) )).
fof(t15_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v4_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( k22_pre_poly(A,D) = k1_tarski(C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k1_polynom2(A,D,B,E) = k1_binop_1(k4_group_1(B),k1_funct_1(E,C),k1_recdef_1(D,C)) ) ) ) ) ) )).
fof(t15_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( m2_finseq_1(E,k4_finseq_2(3,k4_ordinal1)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(E),k4_finseq_1(E)) & v3_funct_2(F,k4_finseq_1(E),k4_finseq_1(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(E),k4_finseq_1(E)))) ) => ! [G] : ( m2_finseq_1(G,k4_finseq_2(3,k4_ordinal1)) => ( G = k1_partfun1(k4_finseq_1(E),k4_finseq_1(E),k4_ordinal1,k4_finseq_2(3,k4_ordinal1),F,E) => k7_polynom3(A,B,C,D,G) = k1_partfun1(k4_finseq_1(E),k4_finseq_1(E),k4_ordinal1,u1_struct_0(A),F,k7_polynom3(A,B,C,D,E)) ) ) ) ) ) ) ) ) )).
fof(t15_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_algseq_1(A,k1_polynom4(A,B)) = k1_algseq_1(A,B) ) ) )).
fof(t15_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,B,k5_numbers),k10_polynom3(A)) ) ) )).
fof(t15_polynom6,axiom,( ! [A] : ( ( v3_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( v3_ordinal1(B) & ~ v1_xboole_0(B) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & l6_algstr_0(C) ) => r2_quofield(k12_polynom1(A,k12_polynom1(B,C)),k12_polynom1(k10_ordinal2(A,B),C)) ) ) ) )).
fof(t15_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k3_polynom1(k15_pre_poly(A),B,C) = k1_xboole_0 | k3_polynom1(k15_pre_poly(A),B,C) = k6_domain_1(k15_pre_poly(A),k16_pre_poly(A)) ) ) ) )).
fof(t15_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_polynom8(A,B,k4_xcmplx_0(1)) = k9_algstr_0(A,B) ) ) )).
fof(t15_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(D,A,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => k3_termord(A,B,C,k1_polyred(A,E,C,D)) = k11_pre_poly(A,E,k3_termord(A,B,C,D)) ) ) ) ) ) )).
fof(t15_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_lattice7(C,A,B,B) => k1_card_1(C) = 1 ) ) ) )).
fof(t15_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,C) & r1_xxreal_0(1,B) ) | ( ~ v1_abian(C) & ~ v1_abian(B) ) ) => k3_xcmplx_0(k1_power(C,A),k1_power(B,A)) = k1_power(k3_xcmplx_0(C,B),k1_newton(A,k2_xcmplx_0(C,B))) ) ) ) ) )).
fof(t15_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => ! [F] : ( r2_tarski(F,k1_relset_1(k4_ordinal1,k1_msualg_1(B,D))) => r2_tarski(k1_funct_1(E,F),k4_card_3(k9_pralg_2(A,B,k7_partfun1(u1_struct_0(B),k1_msualg_1(B,D),F),C))) ) ) ) ) ) ) )).
fof(t15_pre_circ,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => ! [C] : ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) ) => ~ ( r2_tarski(k12_finseq_1(k4_ordinal1,D),k9_xtuple_0(A)) & A = k4_trees_4(C,E) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v6_trees_3(F) ) => ~ ( k7_trees_2(A,k12_finseq_1(k4_ordinal1,D),B) = k4_trees_4(C,F) & k3_finseq_1(F) = k3_finseq_1(E) & k1_funct_1(F,k1_nat_1(D,1)) = B & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(E)) => ( G = k1_nat_1(D,1) | k1_funct_1(F,G) = k1_funct_1(E,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_pre_ff,axiom,( k2_pre_ff(k5_numbers) = k5_numbers & k2_pre_ff(1) = 1 & ! [A] : ( v7_ordinal1(A) => ( k2_pre_ff(k3_xcmplx_0(2,A)) = k2_pre_ff(A) & k2_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),1)) = k1_nat_1(k2_pre_ff(A),k2_pre_ff(k1_nat_1(A,1))) ) ) )).
fof(t15_pre_poly,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k4_partfun1(A,B)) => ! [D] : ( r1_tarski(D,C) => r2_tarski(D,k4_partfun1(A,B)) ) ) )).
fof(t15_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r2_tarski(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(D,A) & r1_tarski(B,D) ) => r2_tarski(C,D) ) ) ) ) ) ) )).
fof(t15_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r2_relset_1(A,A,k3_relset_1(A,A,B),k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,k3_subset_1(k2_zfmisc_1(A,A),B)))) ) ) )).
fof(t15_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k1_prelamb(A,C,B)),k1_prelamb(A,k1_prelamb(A,D,C),k1_prelamb(A,D,B))) ) ) ) ) )).
fof(t15_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(2,B) & r1_xxreal_0(A,k1_newton(A,B)) ) ) ) )).
fof(t15_prob_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) <=> ( r1_tarski(B,k9_setfam_1(A)) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r1_tarski(k10_xtuple_0(C),B) => r2_tarski(k3_prob_1(A,C),B) ) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) => r2_tarski(k3_subset_1(A,C),B) ) ) ) ) ) )).
fof(t15_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m2_prob_1(E,A,B) => r1_xxreal_0(k6_xcmplx_0(k3_real_1(k3_funct_2(B,k1_numbers,E,C),k3_funct_2(B,k1_numbers,E,D)),1),k3_funct_2(B,k1_numbers,E,k5_prob_1(A,B,C,D))) ) ) ) ) ) )).
fof(t15_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k1_kurato_0(A,k2_prob_3(A,B)) = k1_kurato_0(A,B) ) )).
fof(t15_prob_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) => r2_funct_2(k4_ordinal1,k9_setfam_1(A),k2_prob_3(A,B),B) ) ) )).
fof(t15_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,B,C),k6_cqc_lang(A,k8_cqc_lang(A,B,k6_cqc_lang(A,C)))),k4_cqc_the1(A)) ) ) ) )).
fof(t15_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_projdes1(A,B,D,E,F) & r1_collsp(A,F,B,C) & B != C & r1_projdes1(A,B,D,E,C) ) ) ) ) ) ) ) )).
fof(t15_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ~ ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) & ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ~ r5_projpl_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t15_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v8_incproj(A) & l1_incsp_1(A) ) => ? [B] : ( m1_subset_1(B,u1_incsp_1(A)) & ? [C] : ( m1_subset_1(C,u2_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u2_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u2_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u2_incsp_1(A)) & r1_incsp_1(A,B,C) & r1_incsp_1(A,B,D) & r1_incsp_1(A,B,E) & r1_incsp_1(A,B,F) & r2_zfmisc_1(C,D,E,F) ) ) ) ) ) ) )).
fof(t15_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u1_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(A)) => ! [R] : ( m1_subset_1(R,u2_incsp_1(A)) => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,G),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,I,E),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,E,H),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,E),Q) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,J),R) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,G,H),K) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,H,J),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,J,F),M) & r1_incsp_1(A,F,Q) ) => ( r1_incsp_1(A,B,N) | r1_incsp_1(A,B,P) | r1_incsp_1(A,C,O) | r1_incsp_1(A,C,P) | r1_incsp_1(A,C,R) | r1_projred2(A,N,O,P) | B = C | C = F | N = R | k3_relat_1(k1_projred1(A,N,P,B),k1_projred1(A,P,O,C)) = k3_relat_1(k1_projred1(A,N,R,F),k1_projred1(A,R,O,C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m2_prvect_1(B,A) => ! [C] : ( m1_subset_1(C,k4_card_3(A)) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(A)) => k8_prvect_1(A,k3_funct_2(k4_card_3(A),k4_card_3(A),k11_prvect_1(A,B),C),D) = k3_funct_2(k1_funct_1(A,D),k1_funct_1(A,D),k10_prvect_1(A,B,D),k8_prvect_1(A,C,D)) ) ) ) ) )).
fof(t15_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_binop_1(C,D,E) = k10_finseq_1(D,E) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_prvect_3(A,B))) => k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),C,k3_rlvect_1(k7_prvect_3(A,B),D,E)) = k3_rlvect_1(k14_prvect_2(k10_finseq_1(A,B)),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),C,D),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( v1_xreal_0(E) => k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),C,k1_rlvect_1(k7_prvect_3(A,B),D,E)) = k1_rlvect_1(k14_prvect_2(k10_finseq_1(A,B)),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),C,D),E) ) ) & k4_struct_0(k14_prvect_2(k10_finseq_1(A,B))) = k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),C,k4_struct_0(k7_prvect_3(A,B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => k2_normsp_0(k14_prvect_2(k10_finseq_1(A,B)),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),C,D)) = k2_normsp_0(k7_prvect_3(A,B),D) ) ) ) ) )).
fof(t15_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) => v1_comseq_2(B) ) ) <=> ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) => v5_measure6(B,u1_struct_0(A)) ) ) ) ) )).
fof(t15_pua2mss1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_eqrel_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ( ( r1_tarski(C,k2_relset_1(C,D)) & v2_funct_1(D) ) => m2_pua2mss1(D,B) ) ) ) ) ) )).
fof(t15_pythtrip,axiom,( ~ v2_pythtrip(k8_domain_1(k4_ordinal1,3,4,5)) & v3_pythtrip(k8_domain_1(k4_ordinal1,3,4,5)) & m1_pythtrip(k8_domain_1(k4_ordinal1,3,4,5)) )).
fof(t15_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r6_pboole(A,k1_pzfmisc1(A,B),k2_pzfmisc1(A,C,D)) => r6_pboole(A,C,D) ) ) ) ) )).
fof(t15_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v4_qc_lang1(B,A) => ( ~ r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,B)),k3_finseq_1(k11_qc_lang1(A,k19_qc_lang1(A,B)))) & ~ r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,B)),k3_finseq_1(k11_qc_lang1(A,k20_qc_lang1(A,B)))) ) ) ) ) )).
fof(t15_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k6_qc_lang2(A,D,F,B) = k6_qc_lang2(A,E,G,C) => ( D = E & F = G & B = C ) ) ) ) ) ) ) ) ) )).
fof(t15_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_qc_lang2(B,A) => k24_qc_lang1(A,B) = k4_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,k12_qc_lang2(A,B)),k24_qc_lang1(A,k11_qc_lang2(A,B))) ) ) ) )).
fof(t15_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ~ ( r2_xboole_0(C,D) & k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),D) = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C) ) ) ) ) ) )).
fof(t15_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ! [E] : ( m1_subset_1(E,k1_substut1(B)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(B),k3_qc_lang1(B)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( H = C & D = E & G = F ) => k14_substut1(A,G,H,k7_substut1(A,G,k11_cqc_lang(A,G,H),D)) = k14_substut1(B,F,C,k7_substut1(B,F,k11_cqc_lang(B,F,C),E)) ) ) ) ) ) ) ) ) ) )).
fof(t15_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v18_quantal1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,k6_algstr_0(A,C,D),B) => r3_lattices(A,k6_algstr_0(A,D,C),B) ) ) ) ) ) ) )).
fof(t15_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => k22_quaterni(k2_quatern2,A) = A ) )).
fof(t15_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ( v1_xreal_0(B) => k26_quaterni(k22_quaterni(B,A)) = k22_quaterni(k26_quaterni(B),k26_quaterni(A)) ) ) ) )).
fof(t15_quaterni,axiom,( k9_quaterni(k11_quaterni,k11_quaterni) = k4_xcmplx_0(1) )).
fof(t15_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( B != k5_numbers & r1_xxreal_0(k5_numbers,k1_quin_1(B,C,D)) & k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D) = k5_numbers & A != k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B)) & A != k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B)) ) ) ) ) ) )).
fof(t15_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k9_quofield(A,k8_quofield(A,B,C),D) = k8_quofield(A,k9_quofield(A,B,D),k9_quofield(A,C,D)) ) ) ) ) )).
fof(t15_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(B)) ) => ( r2_tarski(A,k2_finseq_1(C)) => m2_subset_1(k1_funct_1(D,A),k4_numbers,k3_radix_1(B)) ) ) ) ) ) )).
fof(t15_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_radix_1(A,B,C) => B = k3_radix_2(A,C,k5_radix_2(C,A,B)) ) ) ) ) ) )).
fof(t15_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(2,A) & r2_hidden(B,k3_radix_1(A)) ) => r2_tarski(k2_xcmplx_0(k6_radix_3(B,A),k5_radix_3(C,A)),k4_radix_3(A)) ) ) ) ) )).
fof(t15_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k3_radix_1(B)) ) => ! [D] : ( ( v3_card_1(D,A) & m2_finseq_1(D,k3_radix_1(B)) ) => ! [E] : ( ( v3_card_1(E,A) & m2_finseq_1(E,k3_radix_1(B)) ) => ( ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k2_finseq_1(A)) & ~ ( k4_radix_1(F,B,A,C) = k4_radix_1(F,B,A,E) & k4_radix_1(F,B,A,D) = k5_numbers ) & ~ ( k4_radix_1(F,B,A,D) = k4_radix_1(F,B,A,E) & k4_radix_1(F,B,A,C) = k5_numbers ) ) ) => k2_xcmplx_0(k8_radix_1(A,B,E),k8_radix_1(A,B,k10_radix_1(B,A,k5_numbers))) = k2_xcmplx_0(k8_radix_1(A,B,C),k8_radix_1(A,B,D)) ) ) ) ) ) ) ) )).
fof(t15_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,2)) & m2_finseq_1(D,k3_radix_1(B)) ) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) & r1_radix_6(A,B,C) & ! [E] : ( v1_int_1(E) => ~ ( ~ r1_xxreal_0(k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k6_radix_6(A,B,D)),k3_xcmplx_0(E,C)),k4_xcmplx_0(C)) & ~ r1_xxreal_0(C,k6_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,D)),k3_xcmplx_0(E,C))) ) ) ) ) ) ) ) )).
fof(t15_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_finset_1(C) => ! [D] : ( m1_eqrel_1(D,k3_group_10(C,A)) => ~ ( k1_card_1(D) = B & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ~ ( ~ v1_finset_1(E) & r1_ramsey_1(C,A,E,D) ) ) ) ) ) ) ) )).
fof(t15_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ~ ( v2_prob_1(B) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k3_prob_1(A,B) != k8_nat_1(k9_setfam_1(A),B,D) ) ) ) ) ) )).
fof(t15_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ? [E] : ( m2_finseq_1(E,k1_numbers) & ? [F] : ( m2_finseq_1(F,C) & k3_finseq_1(E) = k4_card_1(C) & v2_funct_1(F) & k2_relset_1(C,F) = C & k3_finseq_1(F) = k4_card_1(C) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(E)) => k12_supinf_2(E,G) = k1_extreal1(k12_supinf_2(D,k1_funct_1(F,G)),k12_supinf_2(B,k1_tarski(k1_funct_1(F,G)))) ) ) & k1_mesfunc6(A,k1_random_1(A),k2_prob_4(A,k1_random_1(A),B),k2_partfun1(A,k1_numbers,D,C)) = k18_rvsum_1(E) ) ) ) ) ) ) )).
fof(t15_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_funct_1(C) & v1_funct_2(C,A,B) & v1_random_3(C,A,B,k1_random_1(A),k1_random_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) ) )).
fof(t15_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v2_funct_1(D) => k1_ranknull(A,B,C,D) = k1_vectsp_4(A,B) ) ) ) ) ) )).
fof(t15_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( A = k7_xcmplx_0(k2_rat_1(A),k1_rat_1(A)) & A = k3_xcmplx_0(k2_rat_1(A),k5_xcmplx_0(k1_rat_1(A))) ) ) )).
fof(t15_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ratfunc1(A,B,C,D) => r1_polynom5(A,k5_vfunct_1(k4_ordinal1,A,k8_polynom3(A,B,C)),D) ) ) ) ) ) )).
fof(t15_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ~ ( v1_rcomp_1(A) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r2_hidden(B,A) & r2_hidden(C,A) ) => r1_tarski(k1_rcomp_1(B,C),A) ) ) ) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => A != k1_rcomp_1(B,C) ) ) ) ) )).
fof(t15_rcomp_3,axiom,( ! [A] : ( ( v5_xxreal_2(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(k2_seq_4(A),A) => ( r2_hidden(k3_seq_4(A),A) | A = k4_rcomp_1(k3_seq_4(A),k2_seq_4(A)) ) ) ) )).
fof(t15_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(k8_nat_1(k4_ordinal1,k1_real_3(D,C),A),k8_nat_1(k4_ordinal1,k1_real_3(D,C),B)) & k8_nat_1(k4_ordinal1,k1_real_3(D,C),A) != k5_numbers ) ) ) ) ) )).
fof(t15_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k4_real_lat(A),B,k1_funcsdom(A,k1_numbers,k5_real_lat(A),C,B)),B) ) ) ) )).
fof(t15_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) <=> ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_real_ns1(A))))) ) ) ) )).
fof(t15_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_algstr_0(A,k8_group_1(A,B,C)) = k8_group_1(A,B,k4_algstr_0(A,C)) ) ) ) )).
fof(t15_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k1_realset3(A),B,k4_struct_0(A)) = B ) ) )).
fof(t15_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [E] : ( ( v1_rearran1(E) & v2_rearran1(E) & v3_rearran1(E,k1_zfmisc_1(A)) & m2_finseq_1(E,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(D,B) & k4_card_1(A) = k4_card_1(B) ) => ( ( r2_tarski(C,k1_funct_1(E,1)) => k1_funct_1(k3_rearran1(B,A,E,D),C) = k1_funct_1(k20_rfunct_3(B,D,B),1) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r2_tarski(C,k6_subset_1(k1_funct_1(E,k1_nat_1(F,1)),k1_funct_1(E,F))) ) => ( r1_xxreal_0(k3_finseq_1(E),F) | k1_funct_1(k3_rearran1(B,A,E,D),C) = k1_funct_1(k20_rfunct_3(B,D,B),k1_nat_1(F,1)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_hidden(k4_tarski(A,B),C) => ( r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(C)) ) ) ) )).
fof(t15_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) => ( r1_tarski(k4_relat_1(A),D) => ( r1_tarski(A,k1_relset_1(B,D)) & r1_tarski(A,k2_relset_1(C,D)) ) ) ) )).
fof(t15_relset_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => B = k3_tarski(a_2_0_relset_2(A,B)) ) )).
fof(t15_revrot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k4_finseq_1(k1_finseq_6(A,C,B)) = k4_finseq_1(C) ) ) ) )).
fof(t15_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),A) => r1_rewrite1(A,B,C) ) ) )).
fof(t15_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(A)) => ( r1_rewrite2(A,B,C,D) => r2_rewrite2(A,B,k1_flang_1(A,k1_flang_1(A,E,C),F),k1_flang_1(A,k1_flang_1(A,E,D),F)) ) ) ) ) ) ) )).
fof(t15_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( l1_rewrite3(E,D) => ( r1_rewrite3(D,E,A,B,C) => ( r1_struct_0(E,A) & r2_hidden(B,D) & r1_struct_0(E,C) & r2_hidden(A,k9_xtuple_0(k9_xtuple_0(u1_rewrite3(D,E)))) & r2_hidden(B,k10_xtuple_0(k9_xtuple_0(u1_rewrite3(D,E)))) & r2_hidden(C,k10_xtuple_0(u1_rewrite3(D,E))) ) ) ) )).
fof(t15_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => k2_rfinseq(k1_numbers,B,k3_rfinseq(A)) = k3_rfinseq(k2_rfinseq(k1_numbers,B,A)) ) ) )).
fof(t15_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_classes1(A,B) => k4_rfinseq2(A) = k4_rfinseq2(B) ) ) ) )).
fof(t15_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k45_valued_1(k18_valued_1(C,A),k18_valued_1(C,B)) = k18_valued_1(C,k45_valued_1(A,B)) ) ) ) )).
fof(t15_rfunct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( r1_tarski(k2_relset_1(B,D),k1_relset_1(B,k2_partfun1(B,k1_numbers,C,A))) => r2_relset_1(k4_ordinal1,k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,B,D,k2_partfun1(B,k1_numbers,C,A))),k8_funct_2(k4_ordinal1,k1_numbers,B,D,k2_partfun1(B,k1_numbers,k56_valued_1(B,k1_numbers,C),A))) ) ) ) ) )).
fof(t15_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v2_binop_1(k13_rfunct_3(A),k3_rfunct_3(A,k1_numbers)) ) )).
fof(t15_rfunct_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( r1_rfunct_4(C,E) & r1_rfunct_4(D,E) ) => ( ( ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k5_numbers,B) ) & ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) ) ) | r1_rfunct_4(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A),k26_valued_1(k1_numbers,k1_numbers,D,B)),E) ) ) ) ) ) ) )).
fof(t15_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_seq_2(A) & v2_seq_2(B) ) => r1_xxreal_0(k2_xcmplx_0(k2_rinfsup1(A),k2_rinfsup1(B)),k2_rinfsup1(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B))) ) ) ) )).
fof(t15_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_funct_2(k4_ordinal1,k6_numbers,k4_ordinal1,k1_numbers,A,B) & v7_mesfunc5(A) ) => ( v2_comseq_2(B) & k2_mesfunc5(A) = k1_seq_2(B) ) ) ) ) )).
fof(t15_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k6_eqrel_1(u1_struct_0(A),u1_struct_0(A),k1_ring_1(A,B),k5_struct_0(A)) = k5_struct_0(k2_ring_1(A,B)) ) ) )).
fof(t15_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v3_ring_2(B,A) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v6_group_1(C,A,B) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r2_quofield(k2_ring_1(A,k8_vectsp10(A,B,C)),k5_ring_2(A,B,C)) ) ) ) )).
fof(t15_ringcat1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r2_ringcat1(A,B) & r2_ringcat1(A,C) ) => B = C ) )).
fof(t15_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_rlvect_3(B,A) & r1_tarski(B,C) & k1_rlvect_3(A,C) = A & ! [D] : ( ( v1_rlvect_3(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(B,D) & r1_tarski(D,C) & k1_rlvect_3(A,D) = A ) ) ) ) ) ) )).
fof(t15_rlaffin2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : ( m2_rlvect_2(D,B,C) & k6_rlvect_2(B,D) = k1_rlvect_1(B,k2_rlvect_2(B,C),A) & k3_rlaffin1(B,D) = k3_xcmplx_0(A,k4_card_1(C)) & D = k1_funct_4(k4_rlvect_2(B),k7_funcop_1(C,A)) ) ) ) ) )).
fof(t15_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k8_matrix13(k2_vectsp_1,C) = A => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [E] : ( m2_rlaffin3(E,k15_euclid(A),D) => m2_rlaffin3(k4_finseqop(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),E,k3_matrtop1(A,B,C)),k15_euclid(B),k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C),D)) ) ) ) ) ) ) )).
fof(t15_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( D = B => k4_algstr_0(A,B) = k4_algstr_0(C,D) ) ) ) ) ) )).
fof(t15_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => k2_rlsub_2(A,B,k2_rlsub_2(A,C,D)) = k2_rlsub_2(A,k2_rlsub_2(A,B,C),D) ) ) ) ) )).
fof(t15_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( ~ v8_ordinal1(D) & v1_xreal_0(D) ) => k9_subset_1(u1_struct_0(A),k1_convex1(A,B,D),k1_convex1(A,C,D)) = k1_convex1(A,k9_subset_1(u1_struct_0(A),B,C),D) ) ) ) ) )).
fof(t15_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_algstr_0(A,B,B) = k4_struct_0(A) ) ) )).
fof(t15_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_rlvect_2(A,k7_subset_1(u1_struct_0(A),C,B)) = k5_algstr_0(A,k2_rlvect_2(A,k4_subset_1(u1_struct_0(A),C,B)),k2_rlvect_2(A,B)) ) ) ) )).
fof(t15_rlvect_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( r2_hidden(A,C) => r1_struct_0(k1_rlvect_3(B,C),A) ) ) ) )).
fof(t15_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_struct_0(k1_rlvect_3(A,k8_domain_1(u1_struct_0(A),B,C,D)),B) & r1_struct_0(k1_rlvect_3(A,k8_domain_1(u1_struct_0(A),B,C,D)),C) & r1_struct_0(k1_rlvect_3(A,k8_domain_1(u1_struct_0(A),B,C,D)),D) ) ) ) ) ) )).
fof(t15_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_rlvect_3(C,A) & r1_tarski(C,u1_struct_0(B)) ) => ( v1_rlvect_3(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t15_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_rlvect_x(A,k9_subset_1(u1_struct_0(A),B,C)),k9_subset_1(u1_struct_0(A),k2_rlvect_x(A,B),k2_rlvect_x(A,C))) ) ) ) )).
fof(t15_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ( E = C => k4_algstr_0(B,C) = k4_algstr_0(D,E) ) ) ) ) ) ) )).
fof(t15_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => k2_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)) = k2_rmod_3(A,B,k2_rmod_3(A,B,C,D),E) ) ) ) ) ) )).
fof(t15_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_rmod_4(A,B,k5_subset_1(u1_struct_0(B),D,C)) = k3_rlvect_1(B,k1_rmod_4(A,B,k7_subset_1(u1_struct_0(B),D,C)),k1_rmod_4(A,B,k7_subset_1(u1_struct_0(B),C,D))) ) ) ) ) )).
fof(t15_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_robbins1(A,B,k3_robbins1(A,B)) = k7_robbins1(A) ) ) )).
fof(t15_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),k3_robbins1(A,k1_lattices(A,C,D)))),D)) = k3_robbins1(A,k1_lattices(A,C,D)) ) ) ) ) )).
fof(t15_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) & v10_lattices(A) ) => v10_lattices(B) ) ) ) )).
fof(t15_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_robbins4)) => ( ( A = k6_subset_1(3,1) & B = 2 ) => ( k13_lattice3(k1_robbins4,A,B) = 3 & k12_lattice3(k1_robbins4,A,B) = k5_numbers ) ) ) ) )).
fof(t15_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v4_roughs_1(B,A) <=> k3_roughs_1(A,B) = B ) ) ) )).
fof(t15_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k4_roughs_1(A,B),k4_roughs_1(A,C)) ) ) ) ) )).
fof(t15_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_isomichi(B,A) <=> ~ v4_roughs_1(B,A) ) ) ) )).
fof(t15_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => k1_rpr_1(A,k2_subset_1(A)) = 1 ) )).
fof(t15_rsspace,axiom,( ! [A] : ( l1_rlvect_1(A) => ( ( ~ v2_struct_0(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v13_algstr_0(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v2_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v3_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v4_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v5_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v6_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v7_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & v8_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) & l1_rlvect_1(g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A))) ) => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) ) ) )).
fof(t15_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) = k4_struct_0(k9_rsspace4(A,B)) ) ) )).
fof(t15_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( r1_struct_0(B,C) => r1_struct_0(B,k1_rlvect_1(A,C,D)) ) ) ) ) ) )).
fof(t15_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => k2_rusub_2(A,B,k2_rusub_2(A,C,D)) = k2_rusub_2(A,k2_rusub_2(A,B,C),D) ) ) ) ) )).
fof(t15_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_rlvect_3(B,A) & ! [C] : ( m1_rusub_3(C,A) => ~ r1_tarski(B,C) ) ) ) ) )).
fof(t15_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => k1_nat_1(k1_rusub_4(k1_rusub_2(A,B,C)),k1_rusub_4(k2_rusub_2(A,B,C))) = k1_nat_1(k1_rusub_4(B),k1_rusub_4(C)) ) ) ) )).
fof(t15_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k4_struct_0(A),k1_rusub_5(A,B,k6_domain_1(u1_struct_0(A),C))) ) ) ) ) )).
fof(t15_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) & v1_finseq_1(C) ) => k4_rvsum_1(A,k4_rvsum_1(B,C)) = k4_rvsum_1(k4_rvsum_1(A,B),C) ) ) ) )).
fof(t15_rvsum_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k2_numbers) ) => k8_rvsum_2(A,B,k5_finseq_2(k2_numbers,A,k5_complex1)) = B ) ) )).
fof(t15_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => ( ( k4_finseq_1(A) = k4_finseq_1(B) & k16_rvsum_1(A) = k16_rvsum_1(B) ) => r1_rvsum_3(A,B) ) ) ) )).
fof(t15_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k2_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1))),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),k10_ami_3(k5_numbers)) = C & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ( E != k10_ami_3(k5_numbers) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(t15_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(B) & v2_scm_halt(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),D) & r1_tarski(k2_scmfsa6a(B,C),A) ) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1))) = k4_card_1(B) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)))) & r1_tarski(k6_compos_1(k1_scmfsa_2,C,k4_card_1(B)),A) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1)),k4_scmfsa_2(k5_numbers)) = 1 & r1_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D) & k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D) = k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,B),C),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,B),D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))))) & ( v1_scmfsa6b(C) => k1_funct_1(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) )).
fof(t15_scmbsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(F,u1_struct_0(k1_scmfsa_2)) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(G,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_xxreal_0(D,C) & r1_tarski(E,A) & r1_tarski(E,B) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,H)),k9_xtuple_0(E)) & r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,H)),k9_xtuple_0(E)) ) ) & k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,D),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,D),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,D),k2_xboole_0(k6_sf_mastr(E),k3_sf_mastr(E))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,D),k2_xboole_0(k6_sf_mastr(E),k3_sf_mastr(E))) ) => ( k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,C),k4_struct_0(k1_scmfsa_2)) = k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,C),k4_struct_0(k1_scmfsa_2)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,F,C),k2_xboole_0(k6_sf_mastr(E),k3_sf_mastr(E))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,G,C),k2_xboole_0(k6_sf_mastr(E),k3_sf_mastr(E))) ) ) ) ) ) ) ) ) ) )).
fof(t15_scmfsa10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k2_compos_0(k12_scmfsa_2(A,B)) = k9_finseq_1(A) ) ) )).
fof(t15_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_afinsq_1(A)) => ( k1_funct_1(A,C) = k2_compos_1(k1_scmfsa_2) | k1_funct_1(k2_scmfsa6a(A,B),C) = k1_funct_1(A,C) ) ) ) ) ) )).
fof(t15_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_tarski(C,B) & r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)),A) ) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,A)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),A,D)) = k2_compos_1(k1_scmfsa_2) ) ) ) ) ) ) )).
fof(t15_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( m1_scmfsa_2(D) => ~ r3_scmfsa7b(k15_scmfsa_2(B,C,D),A) ) ) ) ) )).
fof(t15_scmfsa8a,axiom,( ! [A] : ( v7_ordinal1(A) => k4_card_1(k1_scmfsa8a(A)) = 1 ) )).
fof(t15_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( r5_scmfsa7b(D,B,A) => ( k1_funct_1(B,E) = k5_numbers | r5_scmfsa7b(k1_scmfsa8b(E,C,D),B,A) ) ) ) ) ) ) ) )).
fof(t15_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( r2_scmfsa9a(A,B,C,D) => r5_scmfsa7b(k3_scmfsa_x(C,D),B,A) ) ) ) ) ) )).
fof(t15_scmfsa_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ( r1_xxreal_0(k5_compos_0(u1_compos_1(k1_scmfsa_2),A),8) => m1_subset_1(A,u1_compos_1(k1_ami_3)) ) ) )).
fof(t15_scmfsa_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( m1_scmfsa_2(I) => ( ( k3_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)) = k16_scmfsa_2(H,I) & r2_tarski(H,k9_xtuple_0(B)) ) => k3_finseq_1(k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),I)) = k3_finseq_1(k18_scmfsa_2(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_scmfsa_m,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_scmfsa_2)) ) => ( k2_scmfsa_m(C) = k4_scmfsa_2(A) => ( r2_tarski(k4_scmfsa_2(B),C) | r1_xxreal_0(A,B) ) ) ) ) ) )).
fof(t15_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k3_scmfsa_x(A,B),k1_nat_1(k4_card_1(B),2)) = k11_scmfsa_2(k5_numbers) ) ) )).
fof(t15_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1))) & ! [F] : ( v7_ordinal1(F) => ( ( k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F)) != k5_numbers => ( ~ r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F)),k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(F,1)))) & r1_scm_halt(B,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F),k1_funct_4(A,k4_scmfsa_x(C,B))) ) ) & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),k1_nat_1(F,1)),k4_scmfsa_2(k5_numbers)) = 1 & ( k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F)) = k5_numbers => r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F),C),k5_numbers) ) & ( r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F),C),k5_numbers) => k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_ordinal1,E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmisort(D,B,C,A),F)) = k5_numbers ) ) ) ) => r1_scm_halt(k4_scmfsa_x(C,B),D,A) ) ) ) ) ) )).
fof(t15_scmp_gcd,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,B) & A = k4_funct_4(k1_scmp_gcd(9),k1_scmp_gcd(10),B,C) ) => v4_extpro_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k5_card_1(2),k1_scmpds_2,k4_scmp_gcd) ) ) ) ) )).
fof(t15_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k6_scmpds_2(B,A)) = 3 ) ) )).
fof(t15_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(D) & v4_extpro_1(D,k5_card_1(2),k1_scmpds_2,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_tarski(D,E) & r1_tarski(D,F) & r1_tarski(C,A) & r1_tarski(C,B) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ! [J] : ( v1_int_1(J) => ! [K] : ( v1_int_1(K) => ( ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) = k7_scmpds_2(I,J,K) & H = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(H,K)) ) => ( K = 1 | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),I),J)) = k5_numbers <=> k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),I),J)) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k3_scmpds_4(k2_scmpds_4(A,C),B) = k2_scmpds_4(A,k3_scmpds_4(C,B)) ) ) ) )).
fof(t15_scmpds_5,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => k1_funct_1(k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A) = k1_funct_1(B,A) ) ) )).
fof(t15_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(k1_scmpds_2)) & v1_scmpds_5(C) & m1_subset_1(C,u1_compos_1(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_scmpds_4(D) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => k1_funct_1(k6_scmpds_4(k2_scmpds_4(C,D),B,A),E) = k1_funct_1(k6_scmpds_4(D,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k2_extpro_1(k5_card_1(2),k1_scmpds_2,C,B)),A),E) ) ) ) ) ) )).
fof(t15_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_tarski(k10_compos_1(k1_scmpds_2,C),A) & r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B),D) | r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,D)),k2_afinsq_1(C)) ) ) ) ) ) ) )).
fof(t15_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmpds_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(G,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(G,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmpds_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,F) => k1_funct_1(G,I) = k1_funct_1(B,I) ) ) & k1_funct_1(G,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(G,k2_scmpds_2(k1_funct_1(B,D),E))) | ( k1_funct_1(k6_scmpds_4(C,G,H),D) = k1_funct_1(G,D) & ~ r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,G,H),k2_scmpds_2(k1_funct_1(B,D),E)),k1_funct_1(G,k2_scmpds_2(k1_funct_1(B,D),E))) & r1_scmpds_6(C,G,H) & r2_scmpds_6(C,G,H) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,F) => k1_funct_1(k6_scmpds_4(C,G,H),I) = k1_funct_1(G,I) ) ) ) ) ) ) ) => ( r1_scmpds_6(k1_scmpds_8(D,E,C),B,A) & r2_scmpds_6(k1_scmpds_8(D,E,C),B,A) ) ) ) ) ) ) ) )).
fof(t15_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,B,k8_scmpds_2(A,C,D)) = k2_tarski(k1_nat_1(B,1),k1_int_2(k2_xcmplx_0(D,B))) ) ) ) ) )).
fof(t15_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(D,u1_struct_0(k1_scmring2(A))) ) => ( k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k8_scmring2(A,C),D),k4_struct_0(k1_scmring2(A))) = C & k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k8_scmring2(A,C),D),B) = k2_scmring2(A,D,B) ) ) ) ) ) )).
fof(t15_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = 3 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmring2(A))) ) => B != k5_scmring2(A,C,D) ) ) ) ) ) )).
fof(t15_scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => k1_card_1(a_1_1_scmyciel(A)) = k2_nat_1(2,k4_card_1(k1_scmyciel(A))) ) )).
fof(t15_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F)) = k5_numbers => k1_funct_1(k6_scmpds_4(k3_scpinvar(D,F,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),A),E) = k1_funct_1(B,E) ) ) ) ) ) ) ) )).
fof(t15_scpisort,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(7,B) => v2_scmpds_4(k1_scpisort(A,B)) ) ) ) )).
fof(t15_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(7,C) & ! [E] : ( m2_finseq_1(E,k4_numbers) => ! [F] : ( m2_finseq_1(F,k4_numbers) => ~ ( k3_finseq_1(E) = D & r1_scpisort(E,B,C) & k3_finseq_1(F) = D & r1_scpisort(F,k6_scmpds_4(k2_scpqsort(D,C),B,A),C) & r2_classes1(E,F) & r3_graph_2(F,1,D) ) ) ) ) ) ) ) ) )).
fof(t15_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( ~ r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,C,F,G) & r2_analoaf(A,D,E,H,I) & F != G & H != I & r2_analoaf(A,F,G,H,I) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),C),k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,C),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C))) ) ) ) )).
fof(t15_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) ) => k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) = k3_xcmplx_0(k1_seq_2(A),k1_seq_2(B)) ) ) ) )).
fof(t15_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(k56_valued_1(k4_ordinal1,k1_numbers,A)) & k1_seq_2(k56_valued_1(k4_ordinal1,k1_numbers,A)) = k5_numbers ) => ( v2_comseq_2(A) & k1_seq_2(A) = k5_numbers ) ) ) )).
fof(t15_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k3_seqfunc(A,k5_seqfunc(A,B)),k5_seqfunc(A,k3_seqfunc(A,B))) ) ) )).
fof(t15_seqm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_valued_0(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A) = k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_valued_0(k1_numbers,B,A),k1_valued_0(k1_numbers,C,A)) ) ) ) )).
fof(t15_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_series_1(A) => ! [B] : ( v7_ordinal1(B) => k4_series_1(A) = k2_xcmplx_0(k8_nat_1(k1_numbers,k3_series_1(A),B),k4_series_1(k1_valued_0(k1_numbers,A,k1_nat_1(B,1)))) ) ) ) )).
fof(t15_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(B,3) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),4) ) ) ) )).
fof(t15_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(k3_xcmplx_0(3,k1_power(3,k3_xcmplx_0(k3_xcmplx_0(A,B),C))),k2_xcmplx_0(k2_xcmplx_0(A,B),C)) ) ) ) )).
fof(t15_series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(k2_xcmplx_0(k1_newton(k7_xcmplx_0(1,2),B),k1_newton(2,B)),2) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,4),B),3)),k7_xcmplx_0(k11_newton(4,k1_nat_1(B,1)),3)),k3_xcmplx_0(2,B)),3) ) ) ) )).
fof(t15_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(A,k2_xcmplx_0(k2_xcmplx_0(A,B),D)),k7_xcmplx_0(B,k2_xcmplx_0(k2_xcmplx_0(A,B),C))),k7_xcmplx_0(C,k2_xcmplx_0(k2_xcmplx_0(B,C),D))),k7_xcmplx_0(D,k2_xcmplx_0(k2_xcmplx_0(A,C),D))),1) ) ) ) ) )).
fof(t15_setfam_1,axiom,( ! [A] : r1_setfam_1(k1_xboole_0,A) )).
fof(t15_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k1_setfam_1(a_3_3_setlim_1(A,B,D)) ) ) => ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) ) ) )).
fof(t15_setlim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k9_setlim_2(A,C,B) = k2_setlim_2(A,k7_setlim_2(A,C,B),k8_setlim_2(A,C,B)) ) ) )).
fof(t15_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_setwiseo(B,A) => ! [C] : ( m1_subset_1(C,A) => ( k4_binop_1(A,B,k3_binop_1(A,B),C) = C & k4_binop_1(A,B,C,k3_binop_1(A,B)) = C ) ) ) ) ) )).
fof(t15_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(E,B) & v2_binop_1(E,B) & v1_setwiseo(E,B) & v1_finseqop(E,B) & r6_binop_1(B,F,E) ) => k4_binop_1(B,F,k7_setwiseo(A,B,E,C,G),D) = k7_setwiseo(A,B,E,C,k9_funcop_1(B,A,F,G,D)) ) ) ) ) ) ) ) ) )).
fof(t15_sf_mastr,axiom,( ! [A] : ( v7_ordinal1(A) => k1_sf_mastr(k11_scmfsa_2(A)) = k1_xboole_0 ) )).
fof(t15_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v4_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_sfmastr1(C) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) ) => ! [D] : ( m1_scmfsa_2(D) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( v6_amistd_1(E,k5_card_1(3),k1_scmfsa_2) | r5_scmfsa7b(E,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa_m(B)),A) ) => k18_scmfsa_2(k1_scmfsa6b(k3_scmfsa6a(C,E),B,A),D) = k18_scmfsa_2(k1_scmfsa6b(E,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa_m(B)),A),D) ) ) ) ) ) ) )).
fof(t15_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) => r1_sfmastr2(B,A,C,D) ) ) ) ) ) )).
fof(t15_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( m1_scmfsa_2(E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) & v3_compos_1(F,k1_scmfsa_2) & v4_compos_1(F,k1_scmfsa_2) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => k18_scmfsa_2(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(G,B,C,D,F,A),k5_numbers),E) = k18_scmfsa_2(A,E) ) ) ) ) ) ) ) )).
fof(t15_sgraph1,axiom,( ! [A] : k2_sgraph1(k1_tarski(A)) = k1_xboole_0 )).
fof(t15_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => v2_sheffer1(A) ) )).
fof(t15_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) = B ) ) ) ) )).
fof(t15_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_xboole_0(k4_simplex0(A)) <=> v4_simplex0(A) ) ) )).
fof(t15_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_matroid0(B) & v3_matroid0(B) & ~ v5_simplex0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( r1_tarski(k3_simplex1(A,B),k2_struct_0(B)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_orders_1(u1_struct_0(A)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A)))) ) => ( ! [D] : ( ( v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( ~ v1_xboole_0(D) => r2_tarski(k1_funct_1(C,D),k3_convex1(A,k1_simplex1(A,B,D))) ) ) => m1_simplex1(k11_simplex0(u1_struct_0(A),B,C),A,B) ) ) ) ) ) )).
fof(t15_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( ( v6_tbsp_1(C,k14_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) => ! [D] : ( ( v6_tbsp_1(D,k14_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) ) => ( ( D = k3_convex1(k15_euclid(A),B) & C = B ) => k2_tbsp_1(k14_euclid(A),C) = k2_tbsp_1(k14_euclid(A),D) ) ) ) ) ) )).
fof(t15_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v7_ordinal1(C) => k6_xcmplx_0(k3_xcmplx_0(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(B)),C),k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(A)),C)),k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(k2_xcmplx_0(B,A))),C)) = k8_nat_1(k2_numbers,k10_comseq_3(k12_sin_cos(B,A,C)),C) ) ) ) )).
fof(t15_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k3_sin_cos2,A) != k5_numbers & ~ r1_xxreal_0(k1_funct_1(k3_sin_cos2,A),k5_numbers) & k1_funct_1(k3_sin_cos2,k5_numbers) = 1 ) ) )).
fof(t15_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,k3_xcmplx_0(k7_complex1,A)) = k3_xcmplx_0(k7_complex1,k7_partfun1(k2_numbers,k3_sin_cos3,A)) ) )).
fof(t15_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_xcmplx_0(k17_sin_cos(A),k17_sin_cos(B)) = k3_xcmplx_0(2,k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A,B),2)),k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A,B),2)))) ) ) )).
fof(t15_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( k19_sin_cos(A) != k5_numbers & k17_sin_cos(A) != k5_numbers & ~ ( k3_sin_cos4(k3_xcmplx_0(2,A)) = k7_xcmplx_0(k3_xcmplx_0(k4_sin_cos4(A),k3_sin_cos4(A)),2) & k3_sin_cos4(k3_xcmplx_0(2,A)) = k7_xcmplx_0(k2_xcmplx_0(k1_sin_cos4(A),k2_sin_cos4(A)),2) ) ) ) )).
fof(t15_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( ~ r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) & ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(k19_sin_cos(A),k5_numbers) ) ) ) )).
fof(t15_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(1,A),k6_xcmplx_0(1,A)),k5_numbers) ) ) )).
fof(t15_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k7_xcmplx_0(k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)),k6_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) = k3_xcmplx_0(k1_sin_cos5(k7_xcmplx_0(k2_xcmplx_0(A,B),2)),k1_sin_cos5(k7_xcmplx_0(k6_xcmplx_0(A,B),2))) ) ) )).
fof(t15_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k18_sin_cos,A) != k5_numbers => k1_funct_1(k26_sin_cos,A) = k1_sin_cos4(A) ) ) )).
fof(t15_sincos10,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(t15_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k18_euclid(A) = k18_euclid(B) <=> v1_sppol_1(k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) )).
fof(t15_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r2_tarski(B,k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)))) ) => r2_tarski(B,k3_topreal1(2,A)) ) ) ) ) )).
fof(t15_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v2_sppol_1(A) <=> k6_pscomp_1(A) = k8_pscomp_1(A) ) ) )).
fof(t15_sprect_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => k4_finseq_1(k1_goboard1(A)) = k4_finseq_1(A) ) )).
fof(t15_sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r2_tarski(k20_pscomp_1(A),k1_rltopsp1(k15_euclid(2),k11_pscomp_1(A),k12_pscomp_1(A))) ) )).
fof(t15_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k23_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t15_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k1_square_1(A),k1_square_1(B)) ) ) ) )).
fof(t15_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k6_nat_lat,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k6_nat_lat,B))) ) => ? [D] : ( v4_card_3(D) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_eqrel_1(D,k3_card_3(C)) & ! [E] : ( m2_subset_1(E,k4_ordinal1,k6_nat_lat) => k3_card_3(k5_relset_1(k6_nat_lat,B,C,k2_finseq_1(E))) = k3_tarski(a_5_1_srings_1(A,B,C,D,E)) ) ) ) ) )).
fof(t15_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( ( r1_stacks_1(A,B) & r1_stacks_1(A,C) ) => r2_stacks_1(A,B,C) ) ) ) ) )).
fof(t15_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ( ( B = k5_numbers & A = k5_numbers ) => ( v2_funct_2(C,k5_card_1(A)) & v1_stirl2_1(C,B,A) ) ) ) ) ) )).
fof(t15_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_valuat_1(D,A,C) => ! [E] : ( m2_subset_1(E,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [F] : ( ( v5_relat_1(F,k3_qc_lang1(A)) & v3_card_1(F,B) & m2_finseq_1(F,k2_qc_lang1(A)) ) => ! [G] : ( m1_subset_1(G,k1_substut1(A)) => ! [H] : ( m2_funct_2(H,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ( r1_valuat_1(A,C,k39_substut1(A,k4_sublemma(B,A,E,F,G)),D,H) <=> r1_sublemma(A,k4_sublemma(B,A,E,F,G),C,k1_sublemma(A,C,H,k3_sublemma(A,k4_sublemma(B,A,E,F,G),C,H)),D) ) ) ) ) ) ) ) ) ) )).
fof(t15_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k3_subset_1(A,k5_subset_1(A,B,C)) = k4_subset_1(A,k9_subset_1(A,B,C),k9_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C))) ) ) )).
fof(t15_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ~ ( r2_tarski(E,k4_substlat(A,B,C,D)) & ! [F] : ! [G] : ~ ( r2_tarski(F,C) & r2_tarski(G,D) & E = k2_xboole_0(F,G) ) ) ) ) )).
fof(t15_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( k20_substut1(A,B) = k20_substut1(A,C) => B = C ) ) ) ) )).
fof(t15_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( m1_subset_1(E,k1_substut1(A)) => k7_cqc_sim1(A,k4_cqc_lang(B,A,C,D)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k4_cqc_lang(B,A,C,D),E))) ) ) ) ) ) )).
fof(t15_supinf_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => k8_supinf_2(k6_supinf_2(A)) = k2_supinf_2(k7_supinf_2(A)) ) )).
fof(t15_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ~ r1_orders_2(B,D,C) => k1_symsp_1(A,B,C,D,k3_vectsp_1(A,B,F,E)) = k8_group_1(A,F,k1_symsp_1(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(t15_sysrel,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k4_relat_1(A),k4_relat_1(B)) ) )).
fof(t15_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ( B = k2_tarski(k1_tarski(A),k10_eqrel_1(A)) => m2_taxonom1(B,A) ) ) ) )).
fof(t15_taxonom2,axiom,( ! [A] : ! [B] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) ) => ( v6_taxonom2(B,A) => ( r2_tarski(k1_xboole_0,B) | ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v4_taxonom2(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r2_tarski(C,D) & r1_tarski(D,B) & ! [E] : ( ( v4_taxonom2(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r2_tarski(C,E) & r1_tarski(E,B) & r1_tarski(k5_setfam_1(A,D),k5_setfam_1(A,E)) ) => k5_setfam_1(A,D) = k5_setfam_1(A,E) ) ) ) => m1_eqrel_1(D,A) ) ) ) ) ) ) )).
fof(t15_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k1_funct_1(k22_sin_cos,k3_power(k4_power,A)) = A ) ) )).
fof(t15_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => v2_series_1(k4_sin_cos(A)) ) )).
fof(t15_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k6_domain_1(u1_struct_0(A),B) => v6_tbsp_1(C,A) ) ) ) ) )).
fof(t15_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = C ) ) => ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => B = C ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_tdgroup(A))) => ( r2_analoaf(k2_tdgroup(A),B,C,D,D) => B = C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_tdgroup(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_tdgroup(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_tdgroup(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_tdgroup(A))) => ( ( r2_analoaf(k2_tdgroup(A),B,C,F,G) & r2_analoaf(k2_tdgroup(A),D,E,F,G) ) => r2_analoaf(k2_tdgroup(A),B,C,D,E) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_tdgroup(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k2_tdgroup(A))) & r2_analoaf(k2_tdgroup(A),B,C,D,E) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_tdgroup(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_tdgroup(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_tdgroup(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_tdgroup(A))) => ( ( r2_analoaf(k2_tdgroup(A),B,C,E,F) & r2_analoaf(k2_tdgroup(A),B,D,E,G) ) => r2_analoaf(k2_tdgroup(A),C,D,F,G) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => ? [D] : ( m1_subset_1(D,u1_struct_0(k2_tdgroup(A))) & r2_analoaf(k2_tdgroup(A),B,D,D,C) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_tdgroup(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_tdgroup(A))) => ( ( r2_analoaf(k2_tdgroup(A),B,C,C,D) & r2_analoaf(k2_tdgroup(A),B,E,E,D) ) => C = E ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_tdgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_tdgroup(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_tdgroup(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_tdgroup(A))) => ( r2_analoaf(k2_tdgroup(A),B,C,D,E) => r2_analoaf(k2_tdgroup(A),B,D,C,E) ) ) ) ) ) ) ) ) )).
fof(t15_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v4_tops_1(k2_struct_0(A),A) ) )).
fof(t15_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B)),k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B))) ) ) )).
fof(t15_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v3_pre_topc(B,A) ) ) ) )).
fof(t15_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r6_pboole(A,k1_termord(A,B,C,D),k1_termord(A,B,D,C)) & r6_pboole(A,k2_termord(A,B,C,D),k2_termord(A,B,D,C)) ) ) ) ) ) )).
fof(t15_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B != u1_struct_0(A) => v2_tops_1(B,A) ) ) => v2_tdlat_3(A) ) ) )).
fof(t15_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_tex_2(k1_tex_2(A,B),A) <=> v1_subset_1(k6_domain_1(u1_struct_0(A),B),u1_struct_0(A)) ) ) ) )).
fof(t15_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) => ( ( v1_tex_3(B,A) & m1_pre_topc(B,A) ) <=> ( v1_tex_3(C,A) & m1_pre_topc(C,A) ) ) ) ) ) ) )).
fof(t15_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ v3_tex_4(B,A) ) ) )).
fof(t15_tietze,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( ( r1_tarski(C,D) & r1_tietze(D,A,B) ) => r1_tietze(C,A,B) ) ) ) ) )).
fof(t15_tietze_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( ( v3_tops_2(E,A,B) & v3_tops_2(F,C,D) ) => v3_tops_2(k3_borsuk_2(A,B,C,D,E,F),k2_borsuk_1(A,C),k2_borsuk_1(B,D)) ) ) ) ) ) ) ) )).
fof(t15_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( ( E = D & F = D ) => ! [G] : ( m1_connsp_2(G,B,E) => ! [H] : ( m1_connsp_2(H,C,F) => ? [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C)))) & v3_pre_topc(I,k1_tsep_1(A,B,C)) & r2_tarski(D,I) & r1_tarski(I,k2_xboole_0(G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),B) => m1_toler_1(k2_tarski(C,D),A,B) ) ) )).
fof(t15_topalg_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k15_euclid(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k15_euclid(B))))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(k15_euclid(B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k15_euclid(B))))) ) => ( ( v5_pre_topc(D,C,k15_euclid(B)) & ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(k15_euclid(B)),E,F) = k1_rlvect_1(k15_euclid(B),k3_funct_2(u1_struct_0(C),u1_struct_0(k15_euclid(B)),D,F),A) ) ) => v5_pre_topc(E,C,k15_euclid(B)) ) ) ) ) ) ) )).
fof(t15_topalg_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_topmetr(A,B))) => ! [D] : ( m1_borsuk_2(D,k4_topmetr(A,B),C,C) => u1_struct_0(k5_topalg_1(k4_topmetr(A,B),C)) = k1_tarski(k6_eqrel_1(k2_topalg_1(k4_topmetr(A,B),C),k2_topalg_1(k4_topmetr(A,B),C),k4_topalg_1(k4_topmetr(A,B),C),D)) ) ) ) ) ) )).
fof(t15_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v4_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => v4_pre_topc(k3_borsuk_1(A,B,C,D),k2_borsuk_1(A,B)) ) ) ) ) )).
fof(t15_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r1_borsuk_6(A,C,D) & r1_borsuk_6(B,E,F) ) => r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t15_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r2_borsuk_3(A,B) & v1_connsp_2(A) ) => v1_connsp_2(B) ) ) ) )).
fof(t15_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topalg_6(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ! [D] : ( m1_borsuk_2(D,A,B,B) => r3_borsuk_2(A,B,B,C,D) ) ) ) ) )).
fof(t15_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( ? [B] : ( v7_ordinal1(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(C,D) & ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(C,E) & r1_tarski(E,D) & v1_topdim_1(k2_tops_1(A,E),A) & r1_xxreal_0(k2_topdim_1(A,k2_tops_1(A,E)),k6_xcmplx_0(B,1)) ) ) ) ) ) ) => v3_topdim_1(A) ) ) )).
fof(t15_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v5_waybel23(A) & v3_topdim_1(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & v5_waybel23(B) & v3_topdim_1(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( ~ ( v2_struct_0(A) & v2_struct_0(B) ) => r1_xxreal_0(k4_topdim_1(k2_borsuk_1(A,B)),k1_xxreal_3(k4_topdim_1(A),k4_topdim_1(B))) ) ) ) )).
fof(t15_topgen_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r1_topgen_1(A,B,C) => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(t15_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_topgen_2(A) & l1_pre_topc(A) ) => ? [B] : ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_pre_topc(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A)))) & B = k2_relset_1(u1_pre_topc(A),C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k3_funct_2(u1_struct_0(A),u1_pre_topc(A),C,D)) & ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(D,E) => r1_tarski(k3_funct_2(u1_struct_0(A),u1_pre_topc(A),C,D),E) ) ) ) ) ) ) ) )).
fof(t15_topgen_3,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_pre_topc(k2_limfunc1(A),k2_topgen_3) & m1_subset_1(k2_limfunc1(A),k1_zfmisc_1(u1_struct_0(k2_topgen_3))) ) ) )).
fof(t15_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_prob_1(B,A) => B = k7_setfam_1(A,B) ) ) )).
fof(t15_topgen_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r2_tarski(k19_euclid(A,B),k1_topgen_5) <=> B = k5_numbers ) ) ) )).
fof(t15_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k7_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u2_algstr_0(A),k2_zfmisc_1(B,C)) = k2_group_2(A,B,C) ) ) ) )).
fof(t15_topmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( v3_pre_topc(B,k3_pcomps_1(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k8_metric_1(A,C,D),B) ) ) ) ) ) ) ) )).
fof(t15_topmetr3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( v1_topreal2(A) & r1_topreal1(k15_euclid(2),k18_pscomp_1(A),k22_pscomp_1(A),B) & r1_tarski(B,A) & B != k8_jordan6(A) & B != k9_jordan6(A) ) ) ) )).
fof(t15_topreal1,axiom,( k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) = k1_tarski(k19_euclid(k5_numbers,1)) )).
fof(t15_topreal3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( D = k11_finseq_1(A,B,C) => ( E = k5_numbers | r1_xxreal_0(F,k1_nat_1(E,1)) | k2_topreal1(2,D,F) = k1_xboole_0 ) ) ) ) ) ) ) ) )).
fof(t15_topreal4,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)) = k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)) & B = k3_finseq_4(u1_struct_0(k15_euclid(2)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)),k7_xcmplx_0(k2_xcmplx_0(k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))),2)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)) ) => ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,2) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) | ( v4_topreal1(B) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,2) & r1_topreal4(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2)) & r1_tarski(k3_topreal1(2,B),k3_topreal1(2,A)) & k3_topreal1(2,B) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),1,A)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) & k3_topreal1(2,B) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),2,A)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,2))) ) ) ) ) ) )).
fof(t15_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_topreal2(A) => ! [B] : ( v1_xreal_0(B) => ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & r2_tarski(C,A) & k17_euclid(C) != B ) ) ) ) )).
fof(t15_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => r2_hidden(A,k2_rcomp_1(k6_xcmplx_0(A,B),k2_xcmplx_0(A,B))) ) ) ) )).
fof(t15_topreal7,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) ) => k3_euclid(k8_rvsum_1(k8_finseq_1(k1_numbers,A,B),k8_finseq_1(k1_numbers,C,D))) = k8_finseq_1(k1_numbers,k3_euclid(k8_rvsum_1(A,C)),k3_euclid(k8_rvsum_1(B,D))) ) ) ) ) ) )).
fof(t15_topreal8,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,B) ) => ! [D] : ( m2_finseq_1(D,B) => ( k4_finseq_4(C,A) = k3_finseq_1(C) => k5_finseq_4(k8_finseq_1(B,C,D),A) = k2_graph_2(B,C,1,k7_nat_d(k3_finseq_1(C),1)) ) ) ) ) )).
fof(t15_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ( C = D => k10_metric_1(k14_euclid(A),D,B) = k3_topreal9(A,C,B) ) ) ) ) ) )).
fof(t15_topreala,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( r1_t_0topsp(A,B) <=> r1_t_0topsp(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)),g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))) ) ) ) )).
fof(t15_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) & k17_euclid(A) = k4_xcmplx_0(1) ) => k18_euclid(A) = k5_numbers ) ) )).
fof(t15_toprealc,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,B) & v1_finseq_1(D) & v3_valued_0(D) ) => k14_rvsum_1(D,k1_funct_7(k16_euclid(B),A,C)) = k1_funct_7(k16_euclid(B),A,k3_xcmplx_0(k1_funct_1(D,A),C)) ) ) ) )).
fof(t15_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k4_toprns_1(A,B,k1_toprns_1(A,C,D)) = k4_toprns_1(A,k4_toprns_1(A,B,C),D) ) ) ) ) )).
fof(t15_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k1_tops_1(A,k2_struct_0(A)) = k2_struct_0(A) ) )).
fof(t15_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) => v1_tops_2(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(t15_tops_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tops_1(B,A) => v2_tops_1(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t15_tops_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_pcomps_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_pcomps_1(B))))) ) => ( v5_pre_topc(C,A,k3_pcomps_1(B)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_xreal_0(F) & v2_xxreal_0(F) ) => ~ ( E = k3_funct_2(u1_struct_0(A),u1_struct_0(k3_pcomps_1(B)),C,D) & ! [G] : ( ( v3_pre_topc(G,A) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(D,G) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(k3_pcomps_1(B)),C,G),k8_metric_1(B,E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ( ( r2_hidden(k4_tarski(k4_tarski(G,H),k4_tarski(E,F)),D) & r2_hidden(k4_tarski(k4_tarski(E,F),k4_tarski(I,J)),D) ) => ( E = F | r2_hidden(k4_tarski(k4_tarski(G,H),k4_tarski(I,J)),D) ) ) ) ) ) ) ) ) & ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => r2_hidden(k4_tarski(k4_tarski(E,E),k4_tarski(F,G)),D) ) ) ) & r1_transgeo(A,B,D) & r1_transgeo(A,C,D) ) => r1_transgeo(A,k1_transgeo(A,C,B),D) ) ) ) ) ) )).
fof(t15_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ( r2_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(A,B)),k3_struct_0(k4_topmetr(A,B)),k1_partfun1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),k4_treal_1(A,B,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1)),k3_treal_1(A,B,k1_treal_1(A,B),k2_treal_1(A,B)))) & r2_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),k3_struct_0(k4_topmetr(k5_numbers,1)),k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k3_treal_1(A,B,k1_treal_1(A,B),k2_treal_1(A,B)),k4_treal_1(A,B,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1)))) ) ) ) ) )).
fof(t15_trees_1,axiom,( k1_trees_1(k1_xboole_0) = k1_xboole_0 )).
fof(t15_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => A = k3_tarski(a_1_1_trees_2(A)) ) )).
fof(t15_trees_3,axiom,( ! [A] : ! [B] : ( v1_trees_3(k2_tarski(A,B)) <=> ( ~ v1_xboole_0(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_trees_1(B) ) ) )).
fof(t15_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v6_trees_3(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v6_trees_3(D) ) => ( k4_trees_4(A,C) = k4_trees_4(B,D) => ( A = B & C = D ) ) ) ) )).
fof(t15_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => r2_hidden(k4_tarski(k1_xboole_0,A),k6_trees_9(A)) ) )).
fof(t15_trees_a,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( r2_tarski(A,k9_xtuple_0(B)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k9_xtuple_0(k7_trees_2(B,A,C))) & r2_tarski(D,a_2_4_trees_a(A,C)) & ! [E] : ( m1_trees_1(E,k9_xtuple_0(C)) => ~ ( D = k8_finseq_1(k4_ordinal1,A,E) & k1_funct_1(k7_trees_2(B,A,C),D) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(t15_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v4_pre_topc(B,A) & ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) ) => B != u1_struct_0(C) ) ) ) ) )).
fof(t15_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tsep_2(A,B,D) & r2_tsep_2(A,C,E) ) => ( r2_tsep_1(A,B,C) <=> r2_tsep_1(A,D,E) ) ) ) ) ) ) ) )).
fof(t15_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_pre_topc(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( ~ r1_tsep_1(B,C) => v6_pre_topc(k2_tsep_1(A,B,C)) ) ) ) ) )).
fof(t15_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(C,A) <=> ( C = k3_tex_4(A,C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v3_pre_topc(D,B) & D = k8_subset_1(u1_struct_0(A),C,u1_struct_0(B)) ) ) ) ) ) ) )).
fof(t15_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_turing_1(k2_finseq_4(k4_ordinal1,C,D),A,B) => r1_turing_1(A,B,C,k1_nat_1(k1_nat_1(C,D),2)) ) ) ) ) ) )).
fof(t15_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ( k1_funct_1(k18_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(A,B),C)) & k1_funct_1(k19_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(k8_margrel1(A),B),C)) & k1_funct_1(k20_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(k8_margrel1(A),k8_margrel1(B)),C)) & k1_funct_1(k10_twoscomp,k11_finseq_1(A,B,C)) = k8_margrel1(k1_binarith(k1_binarith(k8_margrel1(A),k8_margrel1(B)),k8_margrel1(C))) ) ) ) ) )).
fof(t15_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => m1_subset_1(k6_unialg_2(A),k1_zfmisc_1(u1_struct_0(B))) ) ) )).
fof(t15_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_unialg_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_unialg_2(A))) => ! [D] : ( ( v1_unialg_1(D) & m1_unialg_2(D,A) ) => ! [E] : ( ( v1_unialg_1(E) & m1_unialg_2(E,A) ) => ( ( B = D & C = E ) => ( r3_lattices(k12_unialg_2(A),B,C) <=> r1_tarski(u1_struct_0(D),u1_struct_0(E)) ) ) ) ) ) ) ) )).
fof(t15_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => u1_struct_0(A) = k2_xboole_0(u1_struct_0(k1_uniroots(A)),k6_domain_1(u1_struct_0(A),k4_struct_0(A))) ) )).
fof(t15_uproots,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v3_valued_0(D) & v2_pre_poly(D) ) => ( r6_pboole(A,B,k11_pre_poly(A,C,D)) => k2_uproots(A,B) = k2_xcmplx_0(k2_uproots(A,C),k2_uproots(A,D)) ) ) ) ) )).
fof(t15_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(A)) => ! [C] : ( m2_subset_1(C,k1_numbers,k1_urysohn1(A)) => ( ~ r1_xxreal_0(C,B) => ( r1_xxreal_0(B,k7_xcmplx_0(k6_xcmplx_0(k5_urysohn1(A,C),1),k1_newton(2,A))) & r1_xxreal_0(k7_xcmplx_0(k1_nat_1(k5_urysohn1(A,B),1),k1_newton(2,A)),C) ) ) ) ) ) )).
fof(t15_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_xxreal_2(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( C = k1_integra2(A,B) & A = k1_measure5(k7_supinf_2(A),k8_supinf_2(A)) ) => ( C = k1_measure5(k7_supinf_2(C),k8_supinf_2(C)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( D = k7_supinf_2(A) & E = k8_supinf_2(A) ) => ( k7_supinf_2(C) = k3_xcmplx_0(B,D) & k8_supinf_2(C) = k3_xcmplx_0(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(t15_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( m2_subset_1(E,k1_numbers,k3_urysohn1) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ~ r1_xxreal_0(E,k12_supinf_2(k4_urysohn3(A,B,C,D),F)) => r2_tarski(F,k3_funct_2(k3_urysohn1,k9_setfam_1(u1_struct_0(A)),k2_urysohn3(A,B,C,D),E)) ) ) ) ) ) ) ) ) ) )).
fof(t15_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_valuat_1(E,A,B) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,E,k6_cqc_lang(A,k7_cqc_lang(A,D,k6_cqc_lang(A,D)))),C) = k7_margrel1 ) ) ) ) ) )).
fof(t15_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) ) => ? [B] : ( v1_xreal_0(B) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = B ) ) ) )).
fof(t15_valued_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_membered(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_membered(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [F] : ( m1_subset_1(F,A) => k1_funct_1(k46_valued_1(A,B,C,D,E),F) = k6_xcmplx_0(k1_funct_1(D,F),k1_funct_1(E,F)) ) ) ) ) ) )).
fof(t15_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k13_valued_1(k13_valued_1(C,A),B) = k13_valued_1(C,k2_xcmplx_0(A,B)) ) ) ) )).
fof(t15_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [F] : ( m1_vectsp_4(F,A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))) => ( ( C = E & D = F ) => ( r1_struct_0(D,C) | k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),E,F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(F),u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),k4_struct_0(F),E) ) ) ) ) ) ) ) ) )).
fof(t15_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_matrlin(D,A,C) => ! [E] : ( m1_matrlin(E,A,C) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(C)) & v13_vectsp_1(F,C,C) & v1_mod_2(F,A,C,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( ( v1_vectsp11(F,A,C) & m1_vectsp11(B,A,C,F) ) <=> k12_matrix_3(k3_finseq_1(D),A,k3_matrlin2(A,C,C,k3_matrlin(A,C,C,F,k4_matrlin(A,C,C,k3_struct_0(C),k4_algstr_0(A,B))),D,E)) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(t15_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( k3_vectsp_1(A,C,B,D) = k4_struct_0(C) <=> ( B = k4_struct_0(A) | D = k4_struct_0(C) ) ) ) ) ) ) )).
fof(t15_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ( k12_algstr_0(A,k1_group_1(A),B) = k9_algstr_0(A,B) & k12_algstr_0(A,k1_group_1(A),k9_algstr_0(A,B)) = B ) ) ) ) )).
fof(t15_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ( E = C => k4_algstr_0(B,C) = k4_algstr_0(D,E) ) ) ) ) ) ) )).
fof(t15_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,C) & m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,D) ) ) ) ) ) )).
fof(t15_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k4_vectsp_6(A,B,k2_vectsp_6(A,B)) = k4_struct_0(B) ) ) )).
fof(t15_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),C,D)) = k1_vectsp_5(A,B,k1_vectsp_7(A,B,C),k1_vectsp_7(A,B,D)) ) ) ) ) )).
fof(t15_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => r2_funct_2(u1_struct_0(k1_vectsp_8(A,B)),u1_struct_0(k1_vectsp_8(A,B)),k6_vectsp_8(A,B,B,k6_partfun1(u1_struct_0(B))),k6_partfun1(u1_struct_0(k1_vectsp_8(A,B)))) ) ) )).
fof(t15_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v2_vectsp_7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( r1_xboole_0(D,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( E = k4_subset_1(u1_struct_0(B),C,D) & v1_vectsp_7(E,A,B) ) ) ) ) ) ) ) )).
fof(t15_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( v1_xreal_0(E) => r2_relset_1(A,u1_struct_0(B),k4_vfunct_1(A,B,k2_vfunct_1(A,B,C,D),E),k2_vfunct_1(A,B,k4_vfunct_1(A,B,C,E),k4_vfunct_1(A,B,D,E))) ) ) ) ) ) )).
fof(t15_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( v1_xcmplx_0(E) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_2(A,B,k2_vfunct_1(A,B,C,D),E),k2_vfunct_1(A,B,k2_vfunct_2(A,B,C,E),k2_vfunct_2(A,B,D,E))) ) ) ) ) ) )).
fof(t15_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( v7_ordinal1(I) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,H)),k1_nat_1(I,1)),F) = k3_vectsp_1(B,D,H,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),F)) ) ) ) ) ) ) ) ) ) )).
fof(t15_waybel10,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_waybel10(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_waybel10(A))) => ( D = B => ( r1_orders_2(k3_waybel10(A),C,D) <=> m1_yellow_0(C,B) ) ) ) ) ) ) )).
fof(t15_waybel11,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> ( v13_waybel_0(B,A) & v3_waybel11(B,A) ) ) ) ) )).
fof(t15_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_yellow_4(A,k6_domain_1(u1_struct_0(A),k3_yellow_0(A)),B) = B ) ) )).
fof(t15_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( v3_orders_2(k1_waybel_8(A)) & v4_orders_2(k1_waybel_8(A)) & v5_orders_2(k1_waybel_8(A)) & v1_lattice3(k1_waybel_8(A)) & v1_yellow_0(k1_waybel_8(A)) & l1_orders_2(k1_waybel_8(A)) ) ) )).
fof(t15_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k5_waybel_0(A,k2_yellow_0(A,B)) = k1_setfam_1(a_2_0_waybel14(A,B)) ) ) )).
fof(t15_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) => ( v3_orders_2(k1_yellow_2(A,A,B)) & v4_orders_2(k1_yellow_2(A,A,B)) & v5_orders_2(k1_yellow_2(A,A,B)) & v1_lattice3(k1_yellow_2(A,A,B)) & v2_lattice3(k1_yellow_2(A,A,B)) & v3_waybel_3(k1_yellow_2(A,A,B)) & l1_orders_2(k1_yellow_2(A,A,B)) ) ) ) ) )).
fof(t15_waybel16,axiom,( ! [A] : k4_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))) = k9_setfam_1(A) )).
fof(t15_waybel17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(D,A,B) => ( ( ~ ( r1_yellow_0(A,C) & r1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) ) & ~ ( v3_lattice3(A) & v5_orders_2(A) & v3_lattice3(B) & v5_orders_2(B) ) ) | r1_orders_2(B,k1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)),k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k1_yellow_0(A,C))) ) ) ) ) ) ) )).
fof(t15_waybel18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k4_yellow_1(A,k7_funcop_1(A,k2_yellow_1(k1_tarski(k5_numbers))))) ) => u1_pre_topc(B) = u1_pre_topc(k3_waybel18(A,k7_funcop_1(A,k9_waybel18))) ) ) )).
fof(t15_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v2_pre_topc(C) & v1_waybel19(C) & m1_yellow_9(C,A) ) => ! [D] : ( ( v2_pre_topc(D) & v1_waybel19(D) & m1_yellow_9(D,B) ) => k1_waybel19(k3_yellow_3(A,B)) = u1_pre_topc(k2_borsuk_1(C,D)) ) ) ) ) )).
fof(t15_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ( r5_waybel_1(A,B) & v3_orders_2(A) ) => v3_orders_2(B) ) ) ) )).
fof(t15_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v6_yellow_0(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => r2_tarski(k1_yellow_0(A,C),u1_struct_0(B)) ) ) ) ) )).
fof(t15_waybel22,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_waybel22(A),u1_struct_0(B)))) ) => ! [D] : ( m1_waybel16(D,k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),B) => ( k2_partfun1(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B),D,k1_waybel22(A)) = C => r2_funct_2(u1_struct_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))),u1_struct_0(B),D,k2_waybel22(A,B,C)) ) ) ) ) )).
fof(t15_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel23(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) & r2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)) ) => r2_tarski(k2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)),B) ) ) ) ) ) ) )).
fof(t15_waybel24,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => k7_relset_1(u1_struct_0(B),u1_struct_0(C),k1_waybel24(A,B,C,D,E),F) = k7_relset_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C),D,k6_yellow_3(A,B,k6_domain_1(u1_struct_0(A),E),F)) ) ) ) ) ) ) )).
fof(t15_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => k1_waybel25(A) = g1_waybel_9(u1_struct_0(A),u1_orders_2(A),u1_pre_topc(A)) ) )).
fof(t15_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & v6_pre_topc(C) & v1_waybel25(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => v22_waybel_0(k4_waybel26(C,A,B,D),k1_waybel26(B,C),k1_waybel26(A,C)) ) ) ) ) )).
fof(t15_waybel27,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ( g1_orders_2(u1_struct_0(B),u1_orders_2(B)) = g1_orders_2(u1_struct_0(C),u1_orders_2(C)) => k5_yellow_1(A,B) = k5_yellow_1(A,C) ) ) ) )).
fof(t15_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(B,k5_yellow_6(A)) => ( r2_hidden(k4_tarski(B,C),k3_waybel28(A)) <=> ! [D] : ( m2_yellow_6(D,A,B) => ( r2_tarski(D,k5_yellow_6(A)) => C = k1_waybel11(A,D) ) ) ) ) ) ) ) )).
fof(t15_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => k1_waybel29(A) = g1_waybel_9(u1_struct_0(A),u1_orders_2(A),u1_pre_topc(A)) ) )).
fof(t15_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( C = D & v3_pre_topc(C,A) ) => v3_pre_topc(k4_waybel_0(B,D),B) ) ) ) ) ) )).
fof(t15_waybel31,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k4_waybel_0(A,B)) => k2_waybel31(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(t15_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_waybel_9(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & C = k6_setfam_1(u1_struct_0(B),D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( r2_tarski(E,D) => m2_connsp_2(E,B,C) ) ) ) ) ) ) )).
fof(t15_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v3_waybel_7(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_yellow19(A,k2_struct_0(A),B)),u1_struct_0(k3_yellow19(A,k2_struct_0(A),B))) & v1_waybel28(C,k3_yellow19(A,k2_struct_0(A),B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow19(A,k2_struct_0(A),B)),u1_struct_0(k3_yellow19(A,k2_struct_0(A),B))))) ) => r1_orders_2(A,k1_waybel_9(A,k2_waybel28(A,k3_yellow19(A,k2_struct_0(A),B),C)),k1_waybel33(A,k2_struct_0(A),B)) ) ) ) )).
fof(t15_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( m1_subset_1(B,u1_struct_0(k5_waybel34(A))) <=> ( v1_orders_2(B) & v3_lattice3(B) & r2_tarski(u1_struct_0(B),A) ) ) ) ) )).
fof(t15_waybel35,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ! [D] : ( r2_tarski(C,k3_waybel35(A,B,D)) <=> ( r2_hidden(k4_tarski(C,D),A) & r2_tarski(C,B) ) ) ) )).
fof(t15_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k4_waybel_0(A,B) = a_2_1_waybel_0(A,B) ) ) )).
fof(t15_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ~ ( v3_lattice3(B) & v18_waybel_0(C,B,A) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r4_waybel_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,E),k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,k5_waybel_0(A,E))) ) ) ) ) ) ) ) )).
fof(t15_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k1_yellow_0(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),B),C)) = k12_lattice3(A,B,k1_yellow_0(A,C)) ) ) ) )).
fof(t15_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => v1_waybel_3(k3_yellow_0(A),A) ) )).
fof(t15_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_relset_1(u1_struct_0(A),u1_struct_0(A),B,u1_orders_2(A)) => k5_waybel_4(A,C,B) = k5_waybel_0(A,C) ) ) ) ) )).
fof(t15_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => ( ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_tarski(D,k1_relset_1(k4_card_3(k1_funct_6(C)),k2_pralg_2(C))) => r3_orders_2(A,k5_yellow_2(A,k1_funct_1(k2_pralg_2(C),D)),B) ) ) => r3_orders_2(A,k4_yellow_2(A,k5_waybel_5(A,k2_pralg_2(C))),B) ) ) ) ) )).
fof(t15_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & C = k2_yellow_0(A,D) ) ) ) ) ) )).
fof(t15_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,A) & v13_waybel_0(C,A) & v2_waybel_7(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(C) & v2_waybel_0(C,B) & v13_waybel_0(C,B) & v2_waybel_7(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t15_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v24_waybel_0(A) ) => v24_waybel_0(B) ) ) ) )).
fof(t15_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel_9(A,B,C))) => ( D = E => k2_waybel_0(A,B,D) = k2_waybel_0(A,k4_waybel_9(A,B,C),E) ) ) ) ) ) ) )).
fof(t15_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( v1_matrlin(B,A) & C = k1_vectsp_9(A,B) & D = k4_card_1(u1_struct_0(A)) ) => k1_card_1(u1_struct_0(B)) = k1_newton(D,C) ) ) ) ) ) )).
fof(t15_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & v2_compts_1(C,A) & v5_pre_topc(B,A,k3_topmetr) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D) = k3_weierstr(k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C)) ) ) ) ) ) ) )).
fof(t15_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v1_relat_2(B) => v1_relat_2(k2_wellord1(B,A)) ) ) )).
fof(t15_wellord2,axiom,( ! [A] : ! [B] : ! [C] : ( ( r2_wellord2(A,B) & r2_wellord2(B,C) ) => r2_wellord2(A,C) ) )).
fof(t15_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_nat_d(A,1) => A = 1 ) ) )).
fof(t15_xboole_1,axiom,( ! [A] : ! [B] : ( k2_xboole_0(A,B) = k1_xboole_0 => A = k1_xboole_0 ) )).
fof(t15_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k6_xboolean(A,k4_xboolean(A,B)) = k6_xboolean(A,B) ) ) )).
fof(t15_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k6_xcmplx_0(A,B) = k5_numbers => A = B ) ) ) )).
fof(t15_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r1_xxreal_0(A,B) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(k6_xcmplx_0(B,C),k6_xcmplx_0(A,D)) ) ) ) ) ) )).
fof(t15_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(k3_xtuple_0(A,B,C),D) => r2_hidden(B,k12_xtuple_0(D)) ) )).
fof(t15_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( k3_xxreal_0(A,B) = A | k3_xxreal_0(A,B) = B ) ) ) )).
fof(t15_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_tarski(A,k4_xxreal_1(B,C)) => ( r2_tarski(A,k3_xxreal_1(B,C)) & A != C ) ) ) ) )).
fof(t15_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & ~ v1_xboole_0(A) ) => ( v3_xxreal_2(A) => r2_hidden(k2_xxreal_2(A),k1_numbers) ) ) )).
fof(t15_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => k3_xxreal_3(A,k5_numbers) = A ) )).
fof(t15_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k7_yellow_3(A,B,k12_lattice3(A,C,D),k12_lattice3(B,E,F)) = k12_lattice3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F)) ) ) ) ) ) ) )).
fof(t15_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => v3_waybel_3(B) ) ) ) )).
fof(t15_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_cantor_1(B,A) & v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_yellow_8(a_3_0_yellow13(A,B,C),A,C) & v1_tops_2(a_3_0_yellow13(A,B,C),A) & m1_subset_1(a_3_0_yellow13(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(t15_yellow14,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( r5_waybel_1(A,B) & v2_yellow_0(A) ) => v2_yellow_0(B) ) ) ) )).
fof(t15_yellow15,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => m1_subset_1(a_2_0_yellow15(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(t15_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v23_waybel_0(C,A,B) <=> ( v5_orders_3(C,A,B) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v5_orders_3(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C),k3_struct_0(B)) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D),k3_struct_0(A)) ) ) ) ) ) ) )).
fof(t15_yellow17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_compts_1(A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ~ ( r1_tarski(k2_struct_0(A),k3_tarski(C)) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) ) => ~ r1_tarski(k2_struct_0(A),k3_tarski(D)) ) ) ) ) ) ) )).
fof(t15_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => v21_functor0(k2_yellow18(A,B),A,B) ) ) ) )).
fof(t15_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(C,B) <=> r1_waybel_0(A,k3_yellow19(A,k2_struct_0(A),B),C) ) ) ) ) )).
fof(t15_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ( E = k1_yellow20(C,D) => r2_altcat_2(B,A,E,C) ) ) ) ) )).
fof(t15_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_yellow21(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_yellow21(A))) => ! [D] : ( r2_tarski(D,k1_altcat_1(k6_yellow21(A),B,C)) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_yellow21(k6_yellow21(A),B)),u1_struct_0(k4_yellow21(k6_yellow21(A),C))) & v22_waybel_0(D,k4_yellow21(k6_yellow21(A),B),k4_yellow21(k6_yellow21(A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k6_yellow21(A),B)),u1_struct_0(k4_yellow21(k6_yellow21(A),C))))) ) ) ) ) ) )).
fof(t15_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( r1_yellow_0(A,B) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_lattice3(A,B,D) => r1_orders_2(A,C,D) ) ) ) ) ) )).
fof(t15_yellow_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_yellow_0(k1_yellow_1(A)) => r2_tarski(k3_tarski(A),A) ) ) )).
fof(t15_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( v5_orders_3(C,A,B) => v1_waybel_0(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) )).
fof(t15_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( v3_orders_2(k3_yellow_3(A,B)) => ( v3_orders_2(A) & v3_orders_2(B) ) ) ) ) )).
fof(t15_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B) = a_3_1_yellow_4(A,B,C) ) ) ) )).
fof(t15_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_yellow_5(A,B,B) <=> B != k3_yellow_0(A) ) ) ) )).
fof(t15_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ( ( m2_yellow_6(B,A,C) & m2_yellow_6(C,A,D) ) => m2_yellow_6(B,A,D) ) ) ) ) ) )).
fof(t15_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v1_lattice3(A) ) => v1_lattice3(B) ) ) ) )).
fof(t15_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_yellow_8(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v4_card_3(B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v3_tops_1(C,A) ) ) ) => v2_tops_1(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) ) )).
fof(t15_yellow_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k1_cantor_1(A,k1_cantor_1(A,B)) = k1_cantor_1(A,B) ) )).
fof(t15_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k4_ordinal1)) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( v8_zf_fund1(D,A) & r2_tarski(B,D) & r1_tarski(B,D) & r2_tarski(C,k1_funct_2(E,B)) ) => r2_tarski(a_4_1_zf_fund1(A,B,C,F),D) ) ) ) ) ) ) ) )).
fof(t15_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ( k1_funct_1(k3_zf_lang(A,B),1) = k5_numbers & k1_funct_1(k4_zf_lang(A,B),1) = 1 ) ) ) )).
fof(t15_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ! [H] : ( m2_subset_1(H,k4_ordinal1,k1_zf_lang) => ( k15_zf_lang(C,E,G,A) = k15_zf_lang(D,F,H,B) => ( C = D & E = F & G = H & A = B ) ) ) ) ) ) ) ) ) ) )).
fof(t15_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r1_zf_model(A,B,k6_zf_lang(C,D)) <=> ( r1_zf_model(A,B,C) & r1_zf_model(A,B,D) ) ) ) ) ) ) )).
fof(t15_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( v3_ordinal1(B) & m1_subset_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) & v1_zf_refle(C,A) ) => r2_tarski(B,k9_xtuple_0(C)) ) ) ) )).
fof(t15_zfmisc_1,axiom,( ! [A] : ! [B] : ( k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_xboole_0 => A = B ) )).
fof(t15_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_ordinal1(A) => ( ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(B)) => r2_zf_model(A,k11_zf_model(B)) ) ) <=> ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(B)) & r1_zf_model(A,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) ) => ! [D] : ( m1_subset_1(D,A) => r2_tarski(k7_relset_1(A,A,k1_zfmodel1(B,A,C),D),A) ) ) ) ) ) ) ) )).
fof(t15_zfmodel2,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ~ r2_tarski(A,k4_zf_lang1(D)) => ( r2_zf_model(C,k6_zf_lang1(D,B,A)) <=> r2_zf_model(C,D) ) ) ) ) ) ) )).
fof(t15_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => k5_relat_1(k1_ordinal3(B,C),A) = k1_ordinal3(B,k5_relat_1(C,A)) ) ) ) )).
fof(t15_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_zmodul01(A,k4_rlvect_1(A,k3_finseq_4(u1_struct_0(A),C,D,E)),B) = k3_rlvect_1(A,k3_rlvect_1(A,k1_zmodul01(A,C,B),k1_zmodul01(A,D,B)),k1_zmodul01(A,E,B)) ) ) ) ) ) )).
fof(t15_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => k20_zmodul02(A,k12_finseq_1(u1_struct_0(A),B),C) = k12_finseq_1(u1_struct_0(A),k1_zmodul01(A,B,k3_funct_2(u1_struct_0(A),k4_numbers,C,B))) ) ) ) )).
fof(t15_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_zmodul02(C,B) => ( v1_zmodul02(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t15_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) => ( ( C = k7_relset_1(u1_struct_0(A),u1_struct_0(k5_zmodul04(A)),k6_zmodul04(A),B) & m1_zmodul03(B,A) ) => ( v2_vectsp_7(C,k11_gaussint,k5_zmodul04(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_zmodul04(A)))) ) ) ) ) ) )).
fof(t15_zmodul05,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_numbers)) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_numbers)) ) => ( r1_xboole_0(B,A) => k2_zmodul05(k4_subset_1(k4_numbers,B,A)) = k2_xcmplx_0(k2_zmodul05(B),k2_zmodul05(A)) ) ) ) )).
fof(t15_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v6_zmodul01(A) <=> v3_zmodul06(A) ) ) )).
fof(t160_absred_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & v3_margrel1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_funct_1(C) & v2_margrel1(C) & v3_margrel1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_funct_1(D) & v2_margrel1(D) & v3_margrel1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [E] : ( ( ~ v2_struct_0(E) & l1_unialg_1(E) ) => ( ( u1_struct_0(E) = A & k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A)),B,C,D) = u1_unialg_1(E) ) => ( v3_unialg_1(E) & v2_unialg_1(E) ) ) ) ) ) ) ) )).
fof(t160_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [H] : ( m1_subset_1(H,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [I] : ( ( v24_aofa_l00(I,A,E,F) & v25_aofa_l00(I,A,B,C,D,E,F) & v28_aofa_l00(I,A,B,C,D,E,F) & v29_aofa_l00(I,A,B,C,D,E,F,H) & m1_subset_1(I,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( m1_msafree4(K,u1_struct_0(B),D,k1_msafree4(u1_struct_0(B),D,J)) => ! [L] : ( m1_msafree4(L,u1_struct_0(B),D,k1_msafree4(u1_struct_0(B),D,J)) => ! [M] : ( m1_subset_1(M,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ! [N] : ( m1_subset_1(N,k3_card_3(k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0))) => ( ( K = M & L = N ) => r2_tarski(k16_aofa_l00(A,E,F,k24_aofa_l00(A,B,C,D,E,F,G,k11_aofa_a00(B,C,D,F,J,K,k9_aofa_l00(u1_struct_0(B),u3_msualg_1(B,C),D,J,L))),k6_aofa_l00(E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0),F,u1_aofa_l00(E),G,M,N)),I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t160_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t160_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ! [E] : ( m4_glib_001(B,A,C) => ( r1_glib_001(A,D,E,B) <=> r1_glib_001(A,D,E,C) ) ) ) ) ) )).
fof(t160_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) => r2_tarski(k6_xcmplx_0(B,C),k19_member_1(A,B)) ) ) ) ) )).
fof(t160_relat_1,axiom,( ! [A] : ! [B] : ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ~ ( k9_xtuple_0(k2_zfmisc_1(A,B)) = A & k10_xtuple_0(k2_zfmisc_1(A,B)) = B ) ) )).
fof(t160_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,D),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) = B ) ) ) ) )).
fof(t160_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k2_xcmplx_0(A,B)) = k6_xcmplx_0(k4_xcmplx_0(B),A) ) ) )).
fof(t160_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,1) & r1_xxreal_0(B,1) ) => r1_xxreal_0(k3_xcmplx_0(A,B),1) ) ) ) )).
fof(t160_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(D,B) ) => k3_xboole_0(k4_xxreal_1(C,D),k4_xxreal_1(A,B)) = k4_xxreal_1(A,D) ) ) ) ) ) )).
fof(t160_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( k7_zf_lang(D,A) = k6_zf_lang1(k7_zf_lang(C,B),C,D) <=> A = k6_zf_lang1(B,C,D) ) ) ) ) ) )).
fof(t160_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k10_nat_1(u1_struct_0(A),k3_binom(A),D,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k10_nat_1(u1_struct_0(A),k3_binom(A),D,B),k10_nat_1(u1_struct_0(A),k3_binom(A),D,C)) ) ) ) ) )).
fof(t161_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v15_absred_0(A) => ( m2_subset_1(1,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) & m2_subset_1(2,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) & m2_subset_1(3,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) ) ) ) )).
fof(t161_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => ! [I] : ( m1_subset_1(I,u1_struct_0(F)) => ! [J] : ( m1_subset_1(J,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [K] : ( m1_subset_1(K,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [L] : ( ( v24_aofa_l00(L,A,E,F) & v25_aofa_l00(L,A,B,C,D,E,F) & v28_aofa_l00(L,A,B,C,D,E,F) & v29_aofa_l00(L,A,B,C,D,E,F,K) & m1_subset_1(L,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ( ( ( r2_tarski(k24_aofa_l00(A,B,C,D,E,F,K,G),L) & r2_tarski(k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,J,H),G),L) ) | ( r2_tarski(k24_aofa_l00(A,B,C,D,E,F,k12_aofa_l00(A,E,F,K),G),L) & r2_tarski(k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,J,I),G),L) ) ) => r2_tarski(k24_aofa_l00(A,B,C,D,E,F,J,k14_aofa_000(F,G,H,I)),L) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t161_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,k1_bvfunc_1(A,D)))) ) ) ) ) )).
fof(t161_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( m4_glib_001(B,A,C) => ( k3_glib_001(A,B) = k3_glib_001(A,C) & k4_glib_001(A,B) = k4_glib_001(A,C) ) ) ) ) ) )).
fof(t161_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k19_member_1(A,B) = a_2_11_member_1(A,B) ) ) )).
fof(t161_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( ( k9_xtuple_0(B) = k1_xboole_0 & k9_xtuple_0(A) = k1_xboole_0 ) => B = A ) ) ) )).
fof(t161_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_sheffer1(A) & v11_sheffer1(A) & v12_sheffer1(A) & l1_sheffer1(A) ) => v1_sheffer2(A) ) )).
fof(t161_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k6_xcmplx_0(A,B)) = k2_xcmplx_0(k4_xcmplx_0(A),B) ) ) )).
fof(t161_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(1,B) & r1_xxreal_0(k3_xcmplx_0(A,B),1) ) ) ) )).
fof(t161_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => r1_tarski(k2_xboole_0(k2_xxreal_1(C,D),k2_xxreal_1(A,B)),k2_xxreal_1(k3_xxreal_0(C,A),k4_xxreal_0(D,B))) ) ) ) ) )).
fof(t161_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k9_zf_lang(A,B) = k6_zf_lang1(k9_zf_lang(C,D),E,F) <=> ( A = k6_zf_lang1(C,E,F) & B = k6_zf_lang1(D,E,F) ) ) ) ) ) ) ) ) )).
fof(t161_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k4_numbers) => k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,B),k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,C)) ) ) ) ) )).
fof(t162_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ( v15_absred_0(A) => ( k18_margrel1(k2_pua2mss1(A,k10_subset_1(1,k4_finseq_1(u1_unialg_1(A))))) = k5_ordinal1 & k18_margrel1(k2_pua2mss1(A,k10_subset_1(2,k4_finseq_1(u1_unialg_1(A))))) = 1 & k18_margrel1(k2_pua2mss1(A,k10_subset_1(3,k4_finseq_1(u1_unialg_1(A))))) = 2 ) ) ) )).
fof(t162_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l1_aofa_a00(C,B) ) => ! [D] : ( ( v2_relat_1(D) & m1_msafree(D,B,C) ) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & v2_aofa_l00(E,B) & v6_aofa_l00(E,A) & v7_aofa_l00(E,k4_aofa_l00(B,C,D)) & v8_aofa_l00(E,A,k4_aofa_l00(B,C,D)) & v14_aofa_l00(E,B,k4_aofa_l00(B,C,D),A) & l3_aofa_l00(E,k4_aofa_l00(B,C,D)) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_unialg_1(F) & v3_unialg_1(F) & v4_unialg_1(F) & v4_msualg_1(F,E) & v3_aofa_000(F) & v4_aofa_000(F) & v5_aofa_000(F) & v6_aofa_000(F) & ~ v10_aofa_000(F) & v11_aofa_000(F) & v12_aofa_000(F) & ~ v1_catalg_1(F,E) & v2_aofa_a00(F,E) & v12_aofa_l00(F,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v15_aofa_l00(F,B,E,C) & v17_aofa_l00(F,E) & v19_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v21_aofa_l00(F,A,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & v23_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) & l6_aofa_l00(F,B,C,D,E,k2_aofa_l00(D,u1_struct_0(E),k1_xboole_0)) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(F)) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => ! [I] : ( m1_subset_1(I,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [J] : ( m1_subset_1(J,k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E))) => ! [K] : ( ( v24_aofa_l00(K,A,E,F) & v25_aofa_l00(K,A,B,C,D,E,F) & v28_aofa_l00(K,A,B,C,D,E,F) & v29_aofa_l00(K,A,B,C,D,E,F,J) & m1_subset_1(K,k1_zfmisc_1(k1_msafree4(u1_struct_0(E),u3_msualg_1(E,F),u1_aofa_l00(E)))) ) => ( ( ( r2_tarski(k24_aofa_l00(A,B,C,D,E,F,k12_aofa_l00(A,E,F,J),G),K) & r2_tarski(I,K) ) | ( r2_tarski(k24_aofa_l00(A,B,C,D,E,F,J,G),K) & r2_tarski(k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,k24_aofa_l00(A,B,C,D,E,F,I,k16_aofa_000(F,G,H)),H),G),K) ) ) => r2_tarski(k24_aofa_l00(A,B,C,D,E,F,I,k16_aofa_000(F,G,H)),K) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t162_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,C,k5_bvfunc_1(A,D,B))) ) ) ) ) )).
fof(t162_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( m4_glib_001(B,A,C) => r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) )).
fof(t162_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ~ ( r2_tarski(C,k19_member_1(A,B)) & ! [D] : ( v1_xcmplx_0(D) => ~ ( C = k6_xcmplx_0(B,D) & r2_hidden(D,A) ) ) ) ) ) )).
fof(t162_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( ( k10_xtuple_0(B) = k1_xboole_0 & k10_xtuple_0(A) = k1_xboole_0 ) => B = A ) ) ) )).
fof(t162_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B)) = k6_xcmplx_0(A,B) ) ) )).
fof(t162_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(B,1) & r1_xxreal_0(1,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t162_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ~ r1_xboole_0(k2_xxreal_1(C,D),k2_xxreal_1(A,B)) => k2_xboole_0(k2_xxreal_1(C,D),k2_xxreal_1(A,B)) = k2_xxreal_1(k3_xxreal_0(C,A),k4_xxreal_0(D,B)) ) ) ) ) ) )).
fof(t162_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k10_zf_lang(A,B) = k6_zf_lang1(k10_zf_lang(C,D),E,F) <=> ( A = k6_zf_lang1(C,E,F) & B = k6_zf_lang1(D,E,F) ) ) ) ) ) ) ) ) )).
fof(t162_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k10_nat_1(u1_struct_0(A),k3_binom(A),k2_nat_1(C,D),B) = k10_nat_1(u1_struct_0(A),k3_binom(A),C,k10_nat_1(u1_struct_0(A),k3_binom(A),D,B)) ) ) ) ) )).
fof(t163_absred_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ? [D] : ( ~ v1_xboole_0(D) & v1_funct_1(D) & v2_margrel1(D) & v3_margrel1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(B),B))) & k18_margrel1(D) = A & D = k8_funcop_1(B,k4_finseq_2(A,B),C) ) ) ) ) )).
fof(t163_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,C,k5_bvfunc_1(A,D,k1_bvfunc_1(A,B)))) ) ) ) ) )).
fof(t163_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( m4_glib_001(B,A,C) => ( r1_tarski(k14_glib_001(A,B),k14_glib_001(A,C)) & r1_tarski(k13_glib_001(A,B),k13_glib_001(A,C)) ) ) ) ) ) )).
fof(t163_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( r1_tarski(A,B) <=> r1_tarski(k19_member_1(A,C),k19_member_1(B,C)) ) ) ) ) )).
fof(t163_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( k9_xtuple_0(B) = k9_xtuple_0(A) => k9_xtuple_0(k3_relat_1(C,B)) = k9_xtuple_0(k3_relat_1(C,A)) ) ) ) ) )).
fof(t163_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k2_xcmplx_0(A,B) = k4_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B)) ) ) )).
fof(t163_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k4_xcmplx_0(1)) & r1_xxreal_0(B,k4_xcmplx_0(1)) ) => r1_xxreal_0(1,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t163_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => r1_tarski(k2_xboole_0(k3_xxreal_1(C,D),k3_xxreal_1(A,B)),k3_xxreal_1(k3_xxreal_0(C,A),k4_xxreal_0(D,B))) ) ) ) ) )).
fof(t163_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k11_zf_lang(A,B) = k6_zf_lang1(k11_zf_lang(C,D),E,F) <=> ( A = k6_zf_lang1(C,E,F) & B = k6_zf_lang1(D,E,F) ) ) ) ) ) ) ) ) )).
fof(t163_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_numbers) => ! [D] : ( m1_subset_1(D,k4_numbers) => k1_binop_1(k12_zmodul01(A),k3_xcmplx_0(C,D),B) = k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),C,k2_binop_1(k4_numbers,u1_struct_0(A),u1_struct_0(A),k12_zmodul01(A),D,B)) ) ) ) ) )).
fof(t164_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_absred_0(A,B,C) => r1_absred_0(A,k7_absred_0(A,B),k7_absred_0(A,C)) ) ) ) ) )).
fof(t164_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,k5_bvfunc_1(A,D,B)))) ) ) ) ) )).
fof(t164_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( m4_glib_001(B,A,C) => ! [D] : ( ( ~ v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ~ ( r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( ( ~ v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(C)) & k1_funct_1(B,D) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(t164_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( k19_member_1(A,C) = k19_member_1(B,C) => A = B ) ) ) ) )).
fof(t164_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( k10_xtuple_0(B) = k10_xtuple_0(A) => k10_xtuple_0(k3_relat_1(B,C)) = k10_xtuple_0(k3_relat_1(A,C)) ) ) ) ) )).
fof(t164_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B),C) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),B),A) ) ) ) )).
fof(t164_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(B,k4_xcmplx_0(1)) & r1_xxreal_0(k3_xcmplx_0(A,B),1) ) ) ) )).
fof(t164_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ~ r1_xboole_0(k3_xxreal_1(C,D),k3_xxreal_1(A,B)) => k2_xboole_0(k3_xxreal_1(C,D),k3_xxreal_1(A,B)) = k3_xxreal_1(k3_xxreal_0(C,A),k4_xxreal_0(D,B)) ) ) ) ) ) )).
fof(t164_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( E != C => ( k12_zf_lang(E,A) = k6_zf_lang1(k12_zf_lang(E,B),C,D) <=> A = k6_zf_lang1(B,C,D) ) ) ) ) ) ) ) )).
fof(t164_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( ~ v2_struct_0(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v13_algstr_0(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v2_rlvect_1(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v3_rlvect_1(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v4_rlvect_1(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v2_zmodul01(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v3_zmodul01(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v4_zmodul01(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & v5_zmodul01(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) & l1_zmodul01(g1_zmodul01(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),k12_zmodul01(A))) ) ) )).
fof(t165_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_absred_0(A,B,C) => r1_absred_0(A,k8_absred_0(A,B,D),k8_absred_0(A,C,D)) ) ) ) ) ) )).
fof(t165_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k2_bvfunc_1(A,k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k9_bvfunc_1(A,C,D))) ) ) ) ) )).
fof(t165_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( m4_glib_001(B,A,C) => ! [D] : ( ( v1_abian(D) & m1_subset_1(D,k4_ordinal1) ) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & ! [E] : ( ( v1_abian(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(C)) & k1_funct_1(B,D) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(t165_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k19_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k19_member_1(A,C),k19_member_1(B,C)) ) ) ) )).
fof(t165_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( r1_tarski(k10_xtuple_0(B),k9_xtuple_0(k5_relat_1(C,A))) => k3_relat_1(B,k5_relat_1(C,A)) = k3_relat_1(B,C) ) ) ) )).
fof(t165_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B),C) = k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),A),B) ) ) ) )).
fof(t165_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(k4_xcmplx_0(1),B) ) => r1_xxreal_0(k3_xcmplx_0(A,B),1) ) ) ) )).
fof(t165_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => k2_xboole_0(k1_xxreal_1(A,B),k1_xxreal_1(B,C)) = k1_xxreal_1(A,C) ) ) ) ) )).
fof(t165_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( k12_zf_lang(D,A) = k6_zf_lang1(k12_zf_lang(C,B),C,D) <=> A = k6_zf_lang1(B,C,D) ) ) ) ) ) )).
fof(t166_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_absred_0(A,B,C) => r1_absred_0(A,k8_absred_0(A,D,B),k8_absred_0(A,D,C)) ) ) ) ) ) )).
fof(t166_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k2_bvfunc_1(A,k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,D)),k9_bvfunc_1(A,C,k5_bvfunc_1(A,D,B)))) ) ) ) ) )).
fof(t166_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_001(B,A) & m3_glib_001(B,A) ) => ~ ( ~ v3_glib_001(B,A) & ! [C] : ( ( v5_glib_001(C,A) & m4_glib_001(C,A,B) ) => v3_glib_001(C,A) ) ) ) ) )).
fof(t166_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k19_member_1(k6_subset_1(A,B),C) = k6_subset_1(k19_member_1(A,C),k19_member_1(B,C)) ) ) ) )).
fof(t166_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( k5_relat_1(B,A) = k5_relat_1(C,A) => k7_relat_1(B,A) = k7_relat_1(C,A) ) ) ) )).
fof(t166_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) = k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),C) ) ) ) )).
fof(t166_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & r1_xxreal_0(k4_xcmplx_0(1),B) & r1_xxreal_0(1,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t166_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => k2_xboole_0(k2_xxreal_1(A,B),k1_xxreal_1(B,C)) = k1_xxreal_1(A,C) ) ) ) ) )).
fof(t166_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v2_zf_lang(A) <=> v2_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t167_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v18_absred_0(A) & v19_absred_0(A) & v20_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,k7_absred_0(A,B),k8_absred_0(A,B,C)),C) ) ) ) ) )).
fof(t167_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k2_bvfunc_1(A,k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k9_bvfunc_1(A,C,k5_bvfunc_1(A,D,B)))) ) ) ) ) )).
fof(t167_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m3_glib_001(C,B) => m3_glib_001(C,A) ) ) ) )).
fof(t167_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k19_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k19_member_1(A,C),k19_member_1(B,C)) ) ) ) )).
fof(t167_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) ) => ! [C] : ( r2_hidden(C,k10_xtuple_0(B)) => r2_hidden(C,A) ) ) )).
fof(t167_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(A,B),C)) = k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),C) ) ) ) )).
fof(t167_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,1) => r1_xxreal_0(B,k3_xcmplx_0(A,C)) ) ) => r1_xxreal_0(B,A) ) ) ) )).
fof(t167_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => k2_xboole_0(k1_xxreal_1(A,B),k3_xxreal_1(B,C)) = k1_xxreal_1(A,C) ) ) ) ) )).
fof(t167_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v3_zf_lang(A) <=> v3_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t168_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v18_absred_0(A) & v21_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,k7_absred_0(A,k6_absred_0(A)),B),B) ) ) ) )).
fof(t168_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r1_bvfunc_1(A,k2_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,C,D)),k2_bvfunc_1(A,k9_bvfunc_1(A,B,k5_bvfunc_1(A,C,k1_bvfunc_1(A,D))),k9_bvfunc_1(A,C,k5_bvfunc_1(A,D,k1_bvfunc_1(A,B))))) ) ) ) ) )).
fof(t168_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m3_glib_001(C,A) => ( ( v3_glib_001(C,A) & r2_tarski(k3_glib_001(A,C),k24_glib_000(A,B)) ) => m3_glib_001(C,B) ) ) ) ) )).
fof(t168_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r2_hidden(k3_xxreal_3(C,B),k20_member_1(A,B)) ) ) ) ) )).
fof(t168_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(C,A) => k9_relat_1(k2_zfmisc_1(A,B),C) = B ) )).
fof(t168_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(A,B),C)) = k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B),C) ) ) ) )).
fof(t168_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => k2_xboole_0(k2_xxreal_1(A,B),k2_xxreal_1(B,C)) = k2_xxreal_1(A,C) ) ) ) ) )).
fof(t168_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v4_zf_lang(A) <=> v4_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t169_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v19_absred_0(A) & v21_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,k7_absred_0(A,k7_absred_0(A,B)),k6_absred_0(A)),B) ) ) ) )).
fof(t169_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m3_glib_001(C,A) => ( r1_tarski(k14_glib_001(A,C),k25_glib_000(A,B)) => ( v3_glib_001(C,A) | m3_glib_001(C,B) ) ) ) ) ) )).
fof(t169_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k20_member_1(A,B) = a_2_12_member_1(A,B) ) ) )).
fof(t169_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_hidden(k4_tarski(A,B),C) <=> r2_hidden(B,k9_relat_1(C,A)) ) ) )).
fof(t169_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(A,B),C)) = k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B),C) ) ) ) )).
fof(t169_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ~ r1_xxreal_0(A,k3_xcmplx_0(C,B)) ) ) => r1_xxreal_0(A,k5_numbers) ) ) ) )).
fof(t169_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(C,B) | k2_xboole_0(k1_xxreal_1(A,B),k4_xxreal_1(B,C)) = k2_xxreal_1(A,C) ) ) ) ) ) )).
fof(t169_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v5_zf_lang(A) <=> v5_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t16_abcmiz_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_abcmiz_0(A) ) => k4_abcmiz_0(A,k1_subset_1(u1_abcmiz_0(A))) = u1_struct_0(A) ) )).
fof(t16_abcmiz_1,axiom,( r1_tarski(a_0_0_abcmiz_1,k2_abcmiz_1) )).
fof(t16_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ~ r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k2_abcmiz_1) <=> m1_subset_1(k1_xfamily(k1_funct_1(B,k1_xboole_0)),u4_struct_0(A)) ) ) ) )).
fof(t16_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_absred_0(A,B,C) & r1_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t16_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_absvalue(A) = k5_numbers => A = k5_numbers ) ) )).
fof(t16_aescip_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(A,k2_finseq_1(4)) & r2_tarski(B,k2_finseq_1(4)) & r2_tarski(C,k2_finseq_1(4)) & r2_tarski(D,k2_finseq_1(4)) ) => ( ( A = C & B = D ) | k3_xboole_0(a_2_0_aescip_1(A,B),a_2_0_aescip_1(C,D)) = k1_xboole_0 ) ) ) ) ) ) )).
fof(t16_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,k2_aff_1(A,B,C)) & r2_tarski(E,k2_aff_1(A,B,C)) ) => ( D = E | r1_tarski(k2_aff_1(A,D,E),k2_aff_1(A,B,C)) ) ) ) ) ) ) ) )).
fof(t16_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r5_aff_1(A,B,C) => k1_aff_4(A,B,D) = k1_aff_4(A,C,D) ) ) ) ) ) )).
fof(t16_afinsq_1,axiom,( ! [A] : ( v1_relat_1(k1_xboole_0) & v5_relat_1(k1_xboole_0,A) & v5_ordinal1(k1_xboole_0) & v1_funct_1(k1_xboole_0) & v1_finset_1(k1_xboole_0) ) )).
fof(t16_afinsq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => k3_afinsq_2(B,1,A) = k5_relat_1(B,A) ) ) )).
fof(t16_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => r1_subset_1(u1_struct_0(A),k7_afproj(A)) ) )).
fof(t16_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_afvect0(A,B,C,D) => r2_afvect0(A,D,C,B) ) ) ) ) ) )).
fof(t16_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_unialg_1(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) => ( r3_alg_1(A,B,C) <=> k1_alg_1(A,B,C) = B ) ) ) ) ) )).
fof(t16_algseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => k1_funct_1(k2_algseq_1(B,k4_struct_0(B)),A) = k4_struct_0(B) ) ) )).
fof(t16_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k1_algspec1(k1_xboole_0,A) = k1_xboole_0 ) )).
fof(t16_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l5_algstr_0(A) ) => ( v7_algstr_1(A) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,D) != C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,B) != C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,B,D) => ( B = k4_struct_0(A) | C = D ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = k6_algstr_0(A,D,B) => ( B = k4_struct_0(A) | C = D ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k4_struct_0(A)) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k4_struct_0(A),B) = k4_struct_0(A) ) ) ) ) )).
fof(t16_algstr_4,axiom,( ! [A] : k11_algstr_4(A,k5_numbers) = k1_xboole_0 )).
fof(t16_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,B,D) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) & ? [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & ? [H] : ( v1_relat_1(H) & v1_funct_1(H) & E = G & F = H & k5_altcat_1(A,B,C,D,E,F) != k3_relat_1(G,H) ) ) ) ) ) ) ) ) ) )).
fof(t16_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => v11_altcat_1(k4_altcat_2(A)) ) )).
fof(t16_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,B) != k1_xboole_0 & ? [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) & v2_altcat_3(D,A,B,C) & ~ v4_altcat_3(D,A,B,C) ) ) ) ) ) )).
fof(t16_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( ( v10_functor0(C,A,B) & l2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E))) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & v18_functor0(C,A,B) & v8_functor0(C,A,B) & ! [G] : ( m1_subset_1(G,k1_altcat_1(A,D,E)) => F != k6_functor0(A,B,C,D,E,G) ) ) ) ) ) ) ) ) )).
fof(t16_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => ! [B] : ( m2_subset_1(B,k1_ami_2,k2_ami_2) => ! [C] : ( v1_int_1(C) => ! [D] : ( m2_subset_1(D,k1_ami_2,k2_ami_2) => ( D != B => k1_funct_1(k7_ami_2(A,B,C),D) = k1_funct_1(A,D) ) ) ) ) ) )).
fof(t16_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k2_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(t16_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => k1_funct_1(A,C) = k1_funct_1(k1_funct_4(A,k7_memstr_0(k5_card_1(2),k1_ami_3,B)),C) ) ) ) )).
fof(t16_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => k2_amistd_1(k5_card_1(2),k1_ami_3,k7_ami_3(A)) = k1_tarski(A) ) )).
fof(t16_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k5_ami_wstd(A,B,C) = k5_ami_wstd(A,B,D) => C = D ) ) ) ) ) )).
fof(t16_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v4_amistd_1(C,A,B) => r2_tarski(k4_struct_0(B),k2_amistd_4(A,B,C)) ) ) ) ) )).
fof(t16_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => u1_struct_0(k2_diraf(k2_analoaf(A))) = u1_struct_0(A) ) )).
fof(t16_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( E = k5_algstr_0(A,k3_rlvect_1(A,C,D),B) => ( r1_analoaf(A,B,C,D,E) & r1_analoaf(A,B,D,C,E) ) ) ) ) ) ) ) )).
fof(t16_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_analmetr(A,F,G) & r1_analoaf(A,B,D,C,E) ) => r1_analoaf(A,k2_analort(A,F,G,B),k2_analort(A,F,G,D),k2_analort(A,F,G,C),k2_analort(A,F,G,E)) ) ) ) ) ) ) ) ) )).
fof(t16_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r1_anproj_1(A,B,C) & ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ v9_struct_0(F,A) & r2_anproj_1(A,D,E,F) & ~ r1_anproj_1(A,D,F) & ~ r1_anproj_1(A,E,F) ) ) ) ) ) ) ) ) )).
fof(t16_anproj_2,axiom,( ? [A] : ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),k1_rlvect_1(A,D,G)) = k4_struct_0(A) => ( E = k5_numbers & F = k5_numbers & G = k5_numbers ) ) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & E = k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)),k1_rlvect_1(A,D,H)) ) ) ) ) ) ) ) ) )).
fof(t16_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => ! [B] : ~ ( r2_tarski(B,k4_dtconstr(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,k1_lang1(A)) & B = k2_trees_4(u1_struct_0(A),C) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) => ~ ( r1_lang1(A,C,k1_dtconstr(u1_struct_0(A),k5_trees_3(u1_struct_0(A)),D)) & B = k8_trees_4(u1_struct_0(A),C,D) ) ) ) ) ) )).
fof(t16_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : k2_xboole_0(k1_tarski(A),k6_enumset1(B,C,D,E,F,G,H,I)) = k7_enumset1(A,B,C,D,E,F,G,H,I) )).
fof(t16_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v19_aofa_a00(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k10_subset_1(k1_funct_1(u7_aofa_a00(A),6),u4_struct_0(A)) => ( k1_msualg_1(A,C) = k12_finseq_1(u1_struct_0(A),B) & k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(t16_aofa_i00,axiom,( ! [A] : ( m4_aofa_i00(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers))) ) => r2_aofa_i00(k7_freealg(k19_aofa_000,k26_aofa_i00),k4_ordinal1,k1_aofa_i00(k9_funct_2(k4_ordinal1,k4_numbers),k5_numbers,k5_numbers),A,B,C) ) ) ) )).
fof(t16_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( l3_msualg_1(D,B) => ( v15_aofa_l00(D,A,B,C) => ! [E] : ( r2_hidden(E,u1_struct_0(A)) => k1_funct_1(u3_msualg_1(A,C),E) = k1_funct_1(u3_msualg_1(B,D),E) ) ) ) ) ) ) )).
fof(t16_armstrng,axiom,( ! [A] : k2_relset_1(k4_armstrng(A),k7_armstrng(A)) = k8_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A)) )).
fof(t16_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => r2_tarski(k2_arytm_0(A,A),k2_arytm_2) ) )).
fof(t16_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(A,B) => r1_arytm_2(k1_arytm_1(C,B),k1_arytm_1(C,A)) ) ) ) ) )).
fof(t16_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( ( r2_tarski(A,k4_ordinal1) & r2_tarski(B,k4_ordinal1) ) => r2_tarski(k7_arytm_2(B,A),k4_ordinal1) ) ) ) )).
fof(t16_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ( k3_arytm_3(A,A) = A & k2_arytm_3(A,A) = A ) ) )).
fof(t16_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) & k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) = k5_numbers ) => ( r2_tarski(A,k6_asympt_0(B)) & ~ r2_tarski(B,k6_asympt_0(A)) ) ) ) ) )).
fof(t16_asympt_1,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & r2_funct_2(k4_ordinal1,k1_numbers,A,k1_asympt_1(2,1,k5_numbers)) & r2_tarski(k2_asympt_0(k3_asympt_1(1),2),k6_asympt_0(k3_asympt_1(1))) & ~ r2_tarski(k1_asympt_1(2,2,k5_numbers),k6_asympt_0(A)) ) )).
fof(t16_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,C) => ! [F] : ( m2_pboole(F,A,C,D) => ( ( v1_msualg_3(E) & v2_msualg_3(E,A,B,C) & v1_msualg_3(F) & v2_msualg_3(F,A,C,D) ) => r6_pboole(A,k4_msualg_3(A,B,D,k3_msualg_3(A,B,C,D,E,F)),k3_msualg_3(A,D,C,B,k4_msualg_3(A,C,D,F),k4_msualg_3(A,B,C,E))) ) ) ) ) ) ) )).
fof(t16_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => m2_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) ) ) )).
fof(t16_bagorder,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_bagorder(C,A,B,k16_pre_poly(C)) = k16_pre_poly(k7_nat_d(B,A)) ) ) ) )).
fof(t16_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ~ ( B != C & ~ r1_xxreal_0(A,k5_numbers) & ~ v1_ballot_1(k2_finseq_2(A,B),B,A,C,k5_numbers) ) ) )).
fof(t16_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_bcialg_1(B,k1_bcialg_1(B,C,D),k1_bcialg_1(B,D,C)) = k1_bcialg_1(B,C,D) ) ) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t16_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k1_bcialg_2(A,k4_struct_0(A),B,D) = k4_struct_0(A) => k1_bcialg_2(A,k4_struct_0(A),B,k3_xcmplx_0(D,C)) = k4_struct_0(A) ) ) ) ) ) )).
fof(t16_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v4_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)) = k1_bcialg_1(A,C,k1_bcialg_1(A,C,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)))) ) ) ) ) )).
fof(t16_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_4(A,k1_bcialg_1(A,B,D),k1_bcialg_1(A,D,C))) ) ) ) ) )).
fof(t16_bcialg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( v8_bcialg_1(A) & m1_bcialg_5(A,B,C,D,E) ) <=> ( v8_bcialg_1(A) & m1_bcialg_5(A,D,E,B,C) ) ) ) ) ) ) ) )).
fof(t16_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k5_bcialg_1(A)) => ! [D] : ( v7_ordinal1(D) => k2_bcialg_6(A,k6_bcialg_1(A,B,C),k4_xcmplx_0(D)) = k1_bcialg_1(A,k2_bcialg_6(A,B,k4_xcmplx_0(D)),k2_bcialg_6(A,C,k4_xcmplx_0(D))) ) ) ) ) )).
fof(t16_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( m1_bciideal(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A,C,k1_bcialg_1(A,k4_struct_0(A),C)),B) ) ) ) ) )).
fof(t16_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_bhsp_1(A,k3_rlvect_1(A,B,C),k3_rlvect_1(A,B,C)) = k2_xcmplx_0(k2_xcmplx_0(k2_bhsp_1(A,B,B),k3_xcmplx_0(2,k2_bhsp_1(A,B,C))),k2_bhsp_1(A,C,C)) ) ) ) )).
fof(t16_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(B,A) => k1_bhsp_2(A,k5_vfunct_1(k4_ordinal1,A,B)) = k4_algstr_0(A,k1_bhsp_2(A,B)) ) ) ) )).
fof(t16_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(B,A) & r1_bhsp_3(A,B,C) ) => v1_bhsp_2(C,A) ) ) ) ) )).
fof(t16_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_bhsp_4(A,B,1) = k3_rlvect_1(A,k3_bhsp_4(A,B,k5_numbers),k3_funct_2(k4_ordinal1,u1_struct_0(A),B,1)) ) ) )).
fof(t16_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => r2_funct_2(u1_struct_0(B),u1_struct_0(A),k8_bilinear(A,B,C,k4_bilinear(A,B,C,D),E),k4_hahnban1(A,B,k8_bilinear(A,B,C,D,E))) ) ) ) ) ) )).
fof(t16_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k2_binari_2(k2_xcmplx_0(A,1),k2_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C)))) = k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C)) ) ) ) )).
fof(t16_binari_3,axiom,( k7_binarith(1,k10_binarith(k5_margrel1,k6_margrel1),k10_binarith(k5_margrel1,k6_margrel1)) = k10_binarith(k5_margrel1,k6_margrel1) )).
fof(t16_binarith,axiom,( ! [A] : ( ( v3_card_1(A,1) & m2_finseq_1(A,k5_margrel1) ) => ( A = k14_trees_3(k7_margrel1) => k6_binarith(1,A) = 1 ) ) )).
fof(t16_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k6_binom(A,B,k1_nat_1(C,D)) = k1_algstr_0(A,k6_binom(A,B,C),k6_binom(A,B,D)) ) ) ) ) )).
fof(t16_binop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v1_binop_1(C,A) => ( r5_binop_1(A,C,B) <=> r4_binop_1(A,C,B) ) ) ) ) ) )).
fof(t16_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(B,k5_margrel1)) => ( C = k5_euclid(B) => k1_funct_1(k2_bintree2(A,B),k5_series_1(2,B)) = k3_binarith(B,C) ) ) ) ) )).
fof(t16_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ r4_boolealg(A,B,k5_lattices(A)) ) ) )).
fof(t16_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( ( v2_comseq_2(k3_series_1(k8_prob_1(A,B,D,C))) => ( k1_funct_1(C,k4_kurato_0(A,D)) = k5_numbers & k1_funct_1(C,k3_kurato_0(A,k2_prob_1(A,D))) = 1 ) ) & ( ( r1_bor_cant(A,B,C,D) & v1_limfunc1(k3_series_1(k8_prob_1(A,B,D,C))) ) => ( k1_funct_1(C,k3_kurato_0(A,k2_prob_1(A,D))) = k5_numbers & k1_funct_1(C,k4_kurato_0(A,D)) = 1 ) ) ) ) ) ) ) )).
fof(t16_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ! [D] : ~ ( r2_tarski(D,k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ~ ( r2_tarski(E,C) & D = k7_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),E) ) ) ) ) ) ) )).
fof(t16_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) => ( D = k3_borsuk_1(B,A,k2_struct_0(B),k6_domain_1(u1_struct_0(A),C)) => v2_compts_1(D,k2_borsuk_1(B,A)) ) ) ) ) ) )).
fof(t16_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(B,C) & A = k1_rcomp_1(B,C) ) => ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(C,1) ) ) ) ) ) )).
fof(t16_borsuk_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = k2_rcomp_1(B,C) => ( B = C | k2_pre_topc(k3_topmetr,A) = k1_rcomp_1(B,C) ) ) ) ) ) )).
fof(t16_borsuk_6,axiom,( v4_pre_topc(a_0_2_borsuk_6,k15_euclid(2)) & m1_subset_1(a_0_2_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(t16_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k12_rvsum_1(k11_finseq_1(A,B,C)) = k11_finseq_1(k1_square_1(A),k1_square_1(B),k1_square_1(C)) ) ) ) )).
fof(t16_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( v1_xreal_0(D) => ( k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k3_rltopsp1(k15_euclid(A),B),k1_topreal9(A,C,D)) = k1_topreal9(A,k3_rlvect_1(k15_euclid(A),C,B),D) & k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k3_rltopsp1(k15_euclid(A),B),k2_topreal9(A,C,D)) = k2_topreal9(A,k3_rlvect_1(k15_euclid(A),C,B),D) & k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k3_rltopsp1(k15_euclid(A),B),k3_topreal9(A,C,D)) = k3_topreal9(A,k3_rlvect_1(k15_euclid(A),C,B),D) ) ) ) ) ) )).
fof(t16_bspace,axiom,( ! [A] : ! [B] : ( A = B <=> ! [C] : k3_bspace(A,C) = k3_bspace(B,C) ) )).
fof(t16_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k1_bvfunc_1(A,k6_bvfunc_2(A,B,C,D)),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,k1_bvfunc_1(A,B),C,E),C,D)) ) ) ) ) ) ) )).
fof(t16_bvfunc14,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ! [G] : ! [H] : ! [I] : ( E = k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(B,G),k17_funcop_1(C,H)),k17_funcop_1(D,I)),k17_funcop_1(A,F)) => k9_xtuple_0(E) = k2_enumset1(A,B,C,D) ) ) )).
fof(t16_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,k15_margrel1(A,B,C),k15_margrel1(A,k14_margrel1(A,B),k14_margrel1(A,C))),k15_margrel1(A,k5_bvfunc_1(A,k14_margrel1(A,B),C),k5_bvfunc_1(A,B,k14_margrel1(A,C)))) ) ) ) )).
fof(t16_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) <=> r1_bvfunc_1(A,B,C) ) ) ) ) )).
fof(t16_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E)),k7_bvfunc_2(A,k6_bvfunc_1(A,C,D),B,E)) ) ) ) ) ) )).
fof(t16_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k6_bvfunc_2(A,D,B,E)),k6_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E)) ) ) ) ) ) )).
fof(t16_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => r2_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k10_bvfunc_1(A,B,C),D,E),k2_bvfunc_1(A,k6_bvfunc_2(A,k9_bvfunc_1(A,B,C),D,E),k6_bvfunc_2(A,k9_bvfunc_1(A,C,B),D,E))) ) ) ) ) ) )).
fof(t16_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),D),k9_bvfunc_1(A,C,D)),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t16_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,D)),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t16_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_group_1(k7_c0sp1(A)) = k8_funcop_1(k4_ordinal1,A,1) ) )).
fof(t16_c0sp2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_c0sp2(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( ( E = C & F = D ) => ( D = k1_rlvect_1(k5_c0sp2(B),C,A) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),k1_numbers,F,G) = k3_xcmplx_0(A,k3_funct_2(u1_struct_0(B),k1_numbers,E,G)) ) ) ) ) ) ) ) ) ) )).
fof(t16_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ( ( r2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),B),k1_calcul_1(k3_cqc_lang(A),C)) & k2_calcul_1(A,B) = k2_calcul_1(A,C) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),B),k2_calcul_1(A,B)) ) => r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),C),k2_calcul_1(A,C)) ) ) ) ) )).
fof(t16_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => k15_finseq_1(k5_relset_1(k4_ordinal1,k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,B),k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B)))) = k4_relset_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k3_cqc_lang(A),k14_finseq_1(k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B))),k8_finseq_1(k3_cqc_lang(A),C,B)) ) ) ) )).
fof(t16_cantor_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_tops_2(B,g1_pre_topc(A,k1_cantor_1(A,B))) & v1_cantor_1(B,g1_pre_topc(A,k1_cantor_1(A,B))) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(A,k1_cantor_1(A,B)))))) ) ) ) )).
fof(t16_card_1,axiom,( ! [A] : ! [B] : ( k1_card_1(A) = k1_card_1(B) => k2_card_1(A) = k2_card_1(B) ) )).
fof(t16_card_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_wellord2(k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)),k2_xboole_0(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C))) & k1_card_1(k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D))) = k1_card_1(k2_xboole_0(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C))) ) )).
fof(t16_card_3,axiom,( ! [A] : ! [B] : ! [C] : k5_card_3(A,k2_xboole_0(B,C)) = k2_xboole_0(k5_card_3(A,B),k5_card_3(A,C)) )).
fof(t16_card_4,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ( r2_tarski(k5_numbers,B) => ( v1_finset_1(A) | ( ~ r1_ordinal1(B,A) & ~ r2_tarski(B,A) ) | ( k2_card_2(A,B) = A & k2_card_2(B,A) = A ) ) ) ) ) )).
fof(t16_card_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( B != k5_numbers & B != 1 & B != 2 & B != k4_card_1(A) & r2_tarski(k4_card_1(A),B) & r1_tarski(k4_ordinal1,B) ) ) ) )).
fof(t16_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k3_card_fil(A))) ) => ( v6_ordinal1(B) => m1_card_fil(k3_tarski(B),A) ) ) ) )).
fof(t16_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( C != D => k4_card_1(k1_card_fin(A,B,C,D)) = k4_newton(B,k4_card_1(A)) ) ) ) )).
fof(t16_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( r1_tarski(k8_subset_1(A,D,C),B) => r1_tarski(k9_subset_1(A,C,k2_card_lar(A,D)),k1_ordinal1(B)) ) ) ) ) ) )).
fof(t16_cardfin2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ( r1_xxreal_0(k4_card_1(A),k4_card_1(B)) => k4_card_1(k4_cardfin2(A,B)) = k6_xcmplx_0(k11_newton(k4_card_1(B),k4_card_1(A)),k7_xcmplx_0(k2_newton(k4_card_1(B)),k2_newton(k7_nat_d(k4_card_1(B),k4_card_1(A))))) ) ) ) )).
fof(t16_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k3_graph_1(A,C) = k4_graph_1(A,B) => k1_cat_1(A,B,C) = k1_binop_1(u1_cat_1(A),C,B) ) ) ) ) )).
fof(t16_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => v14_cat_1(k5_cat_2(A,B),B,A) ) ) )).
fof(t16_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u4_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => ( r2_funct_2(A,u1_struct_0(B),k2_cat_3(B,A,D),k8_funcop_1(u1_struct_0(B),A,k4_graph_1(B,C))) => ( r2_funct_2(A,u1_struct_0(B),k2_cat_3(B,A,k6_cat_3(B,A,D,C)),k8_funcop_1(u1_struct_0(B),A,k3_graph_1(B,C))) & r2_funct_2(A,u1_struct_0(B),k3_cat_3(B,A,k6_cat_3(B,A,D,C)),k3_cat_3(B,A,D)) ) ) ) ) ) )).
fof(t16_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_cat_1(A,B,k1_cat_4(A)) = k1_tarski(k6_cat_4(A,B)) ) ) )).
fof(t16_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_cat_5(B) = B ) ) )).
fof(t16_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A)))) => ( B = C => ( v2_cat_6(B,A) <=> v2_cat_6(C,g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) ) ) ) )).
fof(t16_cat_7,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_cat_7(D,A,B,C) => ~ ( k1_cat_7(A,B,C) != k1_xboole_0 & ! [E] : ( m1_subset_1(E,k1_cat_6(A)) => ! [F] : ( m1_subset_1(F,k1_cat_6(A)) => ~ ( B = E & C = F & r1_cat_6(A,D,E) & r1_cat_6(A,F,D) ) ) ) ) ) ) ) ) )).
fof(t16_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k1_catalan1(A),k1_catalan1(k1_nat_1(A,1))) ) )).
fof(t16_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( k5_relat_1(A,k1_nat_1(k3_xcmplx_0(2,C),k1_afinsq_1(B))) = k1_catalan2(k1_catalan2(k8_funcop_1(k4_ordinal1,C,k5_numbers),B),k8_funcop_1(k4_ordinal1,C,1)) & v1_catalan2(B) & k3_xcmplx_0(2,k7_afinsq_2(B)) = k1_afinsq_1(B) ) => ( r1_xxreal_0(C,k5_numbers) | k3_nat_1(a_1_0_catalan2(A)) = k1_nat_1(k3_xcmplx_0(2,C),k1_afinsq_1(B)) ) ) ) ) ) )).
fof(t16_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(k3_catalg_1(A))) => ( ( k1_xfamily(B) = 1 & k3_finseq_1(k2_xfamily(B)) = 1 ) | ( k1_xfamily(B) = 2 & k3_finseq_1(k2_xfamily(B)) = 3 ) ) ) ) )).
fof(t16_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v10_algstr_0(B,A) & v10_algstr_0(C,A) ) => v10_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) ) ) ) ) )).
fof(t16_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_cc0sp1(A))) => k1_binop_1(k1_cc0sp1(k8_cfuncdom(A),k2_cc0sp1(A)),k6_complex1,B) = B ) ) )).
fof(t16_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => m1_cc0sp1(k3_cc0sp2(A),k3_cc0sp1(u1_struct_0(A))) ) )).
fof(t16_cfcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( ( r1_tarski(k2_relset_1(k2_numbers,B),k1_relset_1(k2_numbers,k5_relset_1(k2_numbers,k2_numbers,C,A))) & k8_relset_1(k2_numbers,k2_numbers,C,k1_tarski(k5_numbers)) = k1_xboole_0 ) => r2_relset_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,B,k5_relset_1(k2_numbers,k2_numbers,k2_cfunct_1(k2_numbers,C),A)),k36_valued_1(k4_ordinal1,k2_numbers,k8_funct_2(k4_ordinal1,k2_numbers,k2_numbers,B,k5_relset_1(k2_numbers,k2_numbers,C,A)))) ) ) ) )).
fof(t16_cfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_numbers)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( r2_cfdiff_1(B,A) => v6_cfdiff_1(A) ) ) ) )).
fof(t16_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [C] : ( m2_funct_2(C,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [D] : ( v1_xcmplx_0(D) => k1_binop_1(k2_cfuncdom(A),k1_funct_1(k3_cfuncdom(A),k4_tarski(D,B)),C) = k1_funct_1(k3_cfuncdom(A),k4_tarski(D,k1_funcsdom(A,k2_numbers,k2_cfuncdom(A),B,C))) ) ) ) ) )).
fof(t16_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,D,k2_valued_1(A,k2_numbers,k2_numbers,B,C)),k2_valued_1(A,k2_numbers,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,D,B),k19_valued_1(A,k2_numbers,k2_numbers,D,C))) ) ) ) ) )).
fof(t16_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => ~ r2_tarski(A,k8_cgames_1(A)) ) )).
fof(t16_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( m2_chain_1(k4_tarski(B,C),A) <=> ( r2_hidden(B,A) & r2_hidden(C,A) & ( ( ~ r1_xxreal_0(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,A) & ~ r1_xxreal_0(D,B) & ~ r1_xxreal_0(C,D) ) ) ) | ( ~ r1_xxreal_0(B,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => ( r1_xxreal_0(D,B) & r1_xxreal_0(C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k10_xtuple_0(A)) & r2_tarski(C,k4_finseq_1(A)) & v2_funct_1(A) ) => ( r2_tarski(B,k1_chord(A,C)) <=> r1_xxreal_0(C,k4_finseq_4(A,B)) ) ) ) ) )).
fof(t16_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( C = k2_circcomb(A,B) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(A,D))) => ( ( H = k5_relat_1(G,u1_struct_0(A)) & v1_circuit2(H,A,D) ) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(B,E))) => ( ( I = k5_relat_1(G,u1_struct_0(B)) & v1_circuit2(I,B,E) ) => v1_circuit2(G,C,F) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => k3_msafree2(A) = k1_tarski(k3_circcmb3(A)) ) )).
fof(t16_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( r1_circcomb(A,B) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(k2_circcomb(A,B))) => ( C = D => ( k1_msualg_1(k2_circcomb(A,B),D) = k1_msualg_1(A,C) & k2_msualg_1(k2_circcomb(A,B),D) = k2_msualg_1(A,C) ) ) ) ) ) ) ) )).
fof(t16_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ~ ( v1_circled1(B,A) & k3_rlvect_2(A,B) = k1_xboole_0 ) ) ) )).
fof(t16_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m3_msaterm(D,A,B) => ! [E] : ( m1_subset_1(E,u4_struct_0(k1_circtrm1(A,B,D))) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A)) => r1_funct_2(k3_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)),k4_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)),k3_msualg_1(A,F,C),k4_msualg_1(A,F,C),k5_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)),k5_msualg_1(A,F,C)) ) ) ) ) ) ) ) )).
fof(t16_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),C)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) ) => ( ( r2_tarski(C,k3_msafree2(A)) & D = k4_trees_4(k4_tarski(k4_msafree2(A,C),u1_struct_0(A)),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k1_relset_1(k4_ordinal1,E)) & ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,k5_msafree2(A,B)),k7_partfun1(u1_struct_0(A),k1_msualg_1(A,k4_msafree2(A,C)),F))) => ~ ( G = k1_funct_1(E,F) & k4_card_1(G) = k4_circuit1(A,B,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,k4_msafree2(A,C)),F)) ) ) ) ) ) => k4_card_1(D) = k4_circuit1(A,B,C) ) ) ) ) ) ) )).
fof(t16_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ( v3_funct_1(k9_funct_6(C)) => ( v1_xboole_0(k2_msafree2(A)) | ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ! [E] : ( m1_msafree2(E,A,B) => ( E = k1_funct_1(k9_funct_6(C),k5_numbers) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r1_xxreal_0(k6_circuit1(A,B,G),F) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),F),G) = k5_circuit2(A,B,G,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_euclid(A))) ) => ! [E] : ( v1_xreal_0(E) => ( ( v1_pdiff_7(D,A) & C = k7_funcop_1(D,E) & r1_xxreal_0(1,B) & r1_xxreal_0(B,A) ) => k3_pdiff_9(A,D,B,C) = k8_funcop_1(k4_ordinal1,D,k5_numbers) ) ) ) ) ) ) )).
fof(t16_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( r1_ordinal1(B,C) => r1_tarski(k3_classes1(A,B),k3_classes1(A,C)) ) ) ) )).
fof(t16_classes2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( r2_tarski(A,k1_card_1(k1_classes1(B))) => r2_tarski(A,k1_classes1(B)) ) ) )).
fof(t16_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_clopban1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_clopban1(A,B))) => ! [E] : ( v1_xcmplx_0(E) => ( D = k1_clvect_1(k6_clopban1(A,B),C,E) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k7_clopban1(A,B,D,F) = k1_clvect_1(B,k7_clopban1(A,B,C,F),E) ) ) ) ) ) ) ) )).
fof(t16_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( ~ v2_struct_0(k8_clopban2(A)) & v13_algstr_0(k8_clopban2(A)) & v2_rlvect_1(k8_clopban2(A)) & v3_rlvect_1(k8_clopban2(A)) & v4_rlvect_1(k8_clopban2(A)) & v2_clvect_1(k8_clopban2(A)) & v3_clvect_1(k8_clopban2(A)) & v4_clvect_1(k8_clopban2(A)) & v1_vectsp_1(k8_clopban2(A)) & v3_vectsp_1(k8_clopban2(A)) & v2_cfuncdom(k8_clopban2(A)) & v3_group_1(k8_clopban2(A)) & l1_cfuncdom(k8_clopban2(A)) ) ) )).
fof(t16_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,k1_bhsp_4(A,B),k1_bhsp_4(A,C)),k1_bhsp_4(A,k2_normsp_1(A,B,C))) ) ) ) )).
fof(t16_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => k3_clopban3(A,k3_rlvect_1(A,C,D),B) = k1_normsp_0(A,k1_bhsp_4(A,k2_clopban4(B,A,C,D)),B) ) ) ) ) ) )).
fof(t16_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => ( ( r6_pboole(A,D,B) & v1_closure1(C,A,B) ) => r6_pboole(A,D,k2_closure1(A,B,C,D)) ) ) ) ) )).
fof(t16_closure2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k9_xtuple_0(k3_closure2(k2_tarski(A,B))) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) ) ) )).
fof(t16_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xcmplx_0(E) => k1_clvect_1(A,k4_rlvect_1(A,k3_finseq_4(u1_struct_0(A),B,C,D)),E) = k3_rlvect_1(A,k3_rlvect_1(A,k1_clvect_1(A,B,E),k1_clvect_1(A,C,E)),k1_clvect_1(A,D,E)) ) ) ) ) ) )).
fof(t16_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(B,A) => k1_clvect_2(A,k5_vfunct_1(k4_ordinal1,A,B)) = k4_algstr_0(A,k1_clvect_2(A,B)) ) ) ) )).
fof(t16_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_clvect_3(A,B,1) = k3_rlvect_1(A,k2_clvect_3(A,B,k5_numbers),k1_normsp_0(A,B,1)) ) ) )).
fof(t16_coh_sp,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k3_coh_sp(C)) => ( r2_tarski(k2_tarski(A,B),D) => ( r2_tarski(A,k3_tarski(D)) & r2_tarski(B,k3_tarski(D)) ) ) ) )).
fof(t16_cohsp_1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_cohsp_1(A,B,C) <=> ( r2_tarski(B,A) & r2_tarski(C,A) & r2_tarski(k3_xboole_0(B,C),A) & r2_tarski(k2_xboole_0(B,C),A) ) ) )).
fof(t16_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m2_collsp(E,A) => ( ( r2_tarski(B,E) & r2_tarski(C,E) & r2_tarski(D,E) ) => r1_collsp(A,B,C,D) ) ) ) ) ) ) )).
fof(t16_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( l1_combgras(D,A,B) => ( ( ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => k2_combgras(A,B,C,E) = k2_combgras(A,B,D,E) ) & ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => k3_combgras(A,B,C,E) = k3_combgras(A,B,D,E) ) ) => g1_combgras(A,B,u1_combgras(A,B,C),u2_combgras(A,B,C)) = g1_combgras(A,B,u1_combgras(A,B,D),u2_combgras(A,B,D)) ) ) ) ) ) )).
fof(t16_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_topmetr(A,B)))) => ( ( C = D & v6_tbsp_1(C,A) ) => r1_xxreal_0(k2_tbsp_1(k1_topmetr(A,B),D),k2_tbsp_1(A,C)) ) ) ) ) ) )).
fof(t16_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k3_complex1(k3_xcmplx_0(A,A)) = k6_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))) & k4_complex1(k3_xcmplx_0(A,A)) = k3_xcmplx_0(2,k4_real_1(k3_complex1(A),k4_complex1(A))) ) ) )).
fof(t16_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A != k5_numbers => ( ~ r1_xxreal_0(k28_sin_cos,k1_comptrig(A)) <=> r1_xxreal_0(k28_sin_cos,k1_comptrig(k4_xcmplx_0(A))) ) ) ) )).
fof(t16_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_complfld)) => ~ ( B != k4_struct_0(k1_complfld) & ( k8_group_1(k1_complfld,A,B) = C | k8_group_1(k1_complfld,B,A) = C ) & ~ ( A = k8_group_1(k1_complfld,C,k9_algstr_0(k1_complfld,B)) & A = k8_group_1(k1_complfld,k9_algstr_0(k1_complfld,B),C) ) ) ) ) ) )).
fof(t16_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xcmplx_0(C) => k9_matrix_5(k10_seq_4(A,C),B) = k3_xcmplx_0(C,k9_matrix_5(A,B)) ) ) ) )).
fof(t16_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( v6_compos_0(C,u1_compos_1(A)) & m1_subset_1(C,u1_compos_1(A)) ) => ! [D] : ( ( v6_compos_0(D,u1_compos_1(A)) & m1_subset_1(D,u1_compos_1(A)) ) => ! [E] : ( ( v6_compos_0(E,u1_compos_1(A)) & m1_subset_1(E,u1_compos_1(A)) ) => ! [F] : ( ( v6_compos_0(F,u1_compos_1(A)) & m1_subset_1(F,u1_compos_1(A)) ) => ! [G] : ( ( v6_compos_0(G,u1_compos_1(A)) & m1_subset_1(G,u1_compos_1(A)) ) => k4_card_1(k2_compos_2(A,k2_compos_2(A,k2_compos_2(A,k2_compos_2(A,k3_compos_2(A,B,C),D),E),F),G)) = 7 ) ) ) ) ) ) ) )).
fof(t16_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k1_rcomp_1(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(2,k28_sin_cos))) => r1_xxreal_0(k5_numbers,k1_funct_1(k18_sin_cos,A)) ) ) )).
fof(t16_compts_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v1_compts_1(A) & v8_pre_topc(B) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) & v5_pre_topc(C,A,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(D,A) => v4_pre_topc(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(t16_comput_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( v1_relat_1(C) => ( r1_tarski(k9_xtuple_0(C),k4_finseq_2(A,B)) => v2_margrel1(C) ) ) ) ) )).
fof(t16_comseq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C),A),k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,B,A),k25_valued_1(k4_ordinal1,k2_numbers,C,A))) ) ) ) )).
fof(t16_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k3_comseq_2(k2_comseq_2(k4_ordinal1,k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B))) = k2_xcmplx_0(k8_complex1(k3_comseq_2(A)),k8_complex1(k3_comseq_2(B))) ) ) )).
fof(t16_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,k32_valued_1(k4_ordinal1,k1_numbers,k7_comseq_3(A)),k7_comseq_3(k31_valued_1(k4_ordinal1,k2_numbers,A))) & r2_funct_2(k4_ordinal1,k1_numbers,k32_valued_1(k4_ordinal1,k1_numbers,k8_comseq_3(A)),k8_comseq_3(k31_valued_1(k4_ordinal1,k2_numbers,A))) ) ) )).
fof(t16_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k4_subset_1(u4_struct_0(A),B,C)) = k9_subset_1(u1_struct_0(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),C)) ) ) ) )).
fof(t16_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v4_lattice3(A) <=> ? [B] : ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_conlat_1(B) & r1_filter_1(k11_conlat_1(B),A) ) ) ) )).
fof(t16_conmetr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v2_conmetr(A) <=> v2_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(t16_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v2_connsp_1(B,A) & r1_tarski(B,k4_subset_1(u1_struct_0(A),C,D)) & r1_connsp_1(A,C,D) & ~ r1_tarski(B,C) & ~ r1_tarski(B,D) ) ) ) ) ) )).
fof(t16_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_connsp_2(A,B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v3_pre_topc(C,A) & r2_tarski(B,C) ) => r2_connsp_2(A,C,B) ) ) ) ) ) )).
fof(t16_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(B,A) & v2_connsp_1(C,A) ) => ( r1_xboole_0(B,C) | ( r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k1_connsp_3(A,B)) & r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k1_connsp_3(A,C)) & r1_tarski(B,k1_connsp_3(A,C)) & r1_tarski(C,k1_connsp_3(A,B)) ) ) ) ) ) ) )).
fof(t16_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_rusub_4(B,A) => v1_convex1(B,A) ) ) ) )).
fof(t16_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => ( k1_convex4(A,B) = k1_xboole_0 => k4_convex4(A,B) = k4_struct_0(A) ) ) ) )).
fof(t16_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v2_qc_lang1(C,A) => k13_cqc_lang(A,C,B) = k10_qc_lang1(A,k16_qc_lang1(A,C),k1_cqc_lang(A,k17_qc_lang1(A,C),k2_cqc_lang(A,k3_qc_lang3(A,k5_numbers),B))) ) ) ) ) )).
fof(t16_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => k7_cqc_sim1(A,k6_cqc_lang(A,B)) = k7_cqc_sim1(A,B) ) ) )).
fof(t16_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( ( v1_cqc_the1(B,A) & r1_tarski(C,B) ) => r1_tarski(k1_cqc_the1(A,C),B) ) ) ) ) )).
fof(t16_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( v2_cqc_the1(B,A) => v2_cqc_the1(k12_cqc_lang(A,C,B),A) ) ) ) ) )).
fof(t16_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => r3_cqc_the3(A,k4_cqc_the1(A)) ) )).
fof(t16_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => k10_csspace(A,k4_struct_0(A),k4_struct_0(A)) = k5_numbers ) )).
fof(t16_csspace2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v2_comseq_2(C) & v2_comseq_2(B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),A)),k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),A))),k1_funct_1(B,E)) ) => ( v2_comseq_2(D) & k1_seq_2(D) = k2_xcmplx_0(k3_xcmplx_0(k9_complex1(k6_xcmplx_0(k3_comseq_2(C),A)),k9_complex1(k6_xcmplx_0(k3_comseq_2(C),A))),k1_seq_2(B)) ) ) ) ) ) ) ) )).
fof(t16_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => k8_funcop_1(u1_struct_0(B),A,k4_struct_0(B)) = k4_struct_0(k9_csspace4(A,B)) ) ) )).
fof(t16_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( v1_dblseq_1(B) & v1_dblseq_1(C) & k1_dblseq_1(B) = k1_dblseq_1(C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_binop_1(B,D,E),k1_binop_1(A,D,E)) & r1_xxreal_0(k1_binop_1(A,D,E),k1_binop_1(C,D,E)) ) ) ) ) => ( v1_dblseq_1(A) & k1_dblseq_1(A) = k1_dblseq_1(B) ) ) ) ) ) )).
fof(t16_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => r2_funct_2(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k4_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B)),k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,k4_dblseq_2(A),k4_dblseq_2(B))) ) ) )).
fof(t16_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_decomp_1(A),k15_decomp_1(A)) = k7_decomp_1(A) ) )).
fof(t16_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k8_descip_1(A,B,1) = k6_descip_1(B) ) ) ) )).
fof(t16_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ( ( v1_wellfnd1(k5_dickson(A)) & v5_orders_2(A) ) => v1_wellfnd1(A) ) ) )).
fof(t16_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),B),k1_nat_1(A,1)),C) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(D,B),k1_nat_1(A,1)),C),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(E,B),k1_nat_1(A,1)),C)) ) ) ) ) ) )).
fof(t16_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k1_numbers,k1_numbers) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,k1_numbers,k1_numbers) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k2_diff_2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,I,A),k26_valued_1(k1_numbers,k1_numbers,J,B)),C,D,E,F,G,H) = k2_xcmplx_0(k3_xcmplx_0(A,k2_diff_2(I,C,D,E,F,G,H)),k3_xcmplx_0(B,k2_diff_2(J,C,D,E,F,G,H))) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),1),k5_diff_1(B,A)) ) ) )).
fof(t16_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k1_fdiff_9)) & r2_tarski(k6_xcmplx_0(B,A),k1_relset_1(k1_numbers,k1_fdiff_9)) ) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_fdiff_9),A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2,B),A))),k17_sin_cos(A)),k1_square_1(k2_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2,B),A)),k19_sin_cos(A)))) ) ) ) )).
fof(t16_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( v2_dilworth(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t16_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != C & r1_diraf(A,B,C,D) & r1_diraf(A,B,C,E) & ~ r1_diraf(A,B,D,E) & ~ r1_diraf(A,B,E,D) ) ) ) ) ) ) )).
fof(t16_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ( v4_dirort(A) => v2_dirort(A) ) ) )).
fof(t16_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ~ ( k1_funct_1(k9_dist_1(A,B),D) = k2_dist_1(A,B,k1_funct_1(B,C)) & k1_funct_1(B,C) = k1_funct_1(k19_finseq_1(A),D) ) ) ) ) ) ) )).
fof(t16_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) => k9_dist_1(A,C) = k26_valued_1(k4_ordinal1,k1_numbers,k4_dist_1(A,C),k3_finseq_1(C)) ) ) ) )).
fof(t16_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) => ( A = k7_mcart_1(B,C,D,E,F) <=> ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,C) => ! [I] : ( m1_subset_1(I,D) => ! [J] : ( m1_subset_1(J,E) => ( F = k5_domain_1(B,C,D,E,G,H,I,J) => A = J ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,B,C) = k5_numbers ) => v1_dualsp01(B,A) ) ) ) )).
fof(t16_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_dualsp01(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,k3_dualsp02))) => ( C = D => k1_rlvect_1(k17_dualsp01(A),C,B) = k1_rlvect_1(k16_lopban_1(A,k3_dualsp02),D,B) ) ) ) ) ) )).
fof(t16_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( m1_dynkin(B,A) & v2_finsub_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r1_tarski(k10_xtuple_0(C),B) => r1_tarski(k10_xtuple_0(k4_dynkin(A,C)),B) ) ) ) ) ) )).
fof(t16_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k3_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 ) ) )).
fof(t16_ec_pf_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(B))) => ( C = k5_int_1(A,B) => k4_algstr_0(k9_int_3(B),C) = k5_int_1(k6_xcmplx_0(B,A),B) ) ) ) ) )).
fof(t16_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,k3_rlvect_1(A,B,C),k3_rlvect_1(A,k5_algstr_0(A,k2_binom(A,B,2),k8_group_1(A,B,C)),k2_binom(A,C,2))) = k3_rlvect_1(A,k2_binom(A,B,3),k2_binom(A,C,3)) ) ) ) )).
fof(t16_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => r1_endalg(k3_endalg(A),k6_endalg(k6_msualg_1(A),k9_msualg_1(A))) ) )).
fof(t16_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k2_ens_1(A)) => ( r2_tarski(D,k7_ens_1(A,B,C)) => D = k4_tarski(k1_domain_1(A,A,B,C),k2_xfamily(D)) ) ) ) ) ) )).
fof(t16_entropy1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v1_matrprob(k2_finseq_2(A,k7_xcmplx_0(1,A))) & m2_finseq_1(k2_finseq_2(A,k7_xcmplx_0(1,A)),k1_numbers) ) ) )).
fof(t16_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_tarski(A),k4_enumset1(B,C,D,E,F,G)) )).
fof(t16_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_relset_1(A,A,k4_eqrel_1(A,B,k5_eqrel_1(A,B,C)),B) ) ) )).
fof(t16_equation,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => r6_pboole(A,k1_equation(A,B,k2_msualg_3(A,B)),B) ) )).
fof(t16_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ( k12_euclid(k8_euclid(A,B,C)) = k5_numbers <=> B = C ) ) ) ) )).
fof(t16_euclid10,axiom,( k1_sin_cos4(k7_xcmplx_0(k28_sin_cos,3)) = k3_square_1(3) )).
fof(t16_euclid_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( k3_finseq_1(A) = k3_finseq_1(B) => r1_xxreal_0(k12_euclid(k4_rvsum_1(A,B)),k2_xcmplx_0(k12_euclid(A),k12_euclid(B))) ) ) ) )).
fof(t16_euclid_3,axiom,( k1_euclid_3(k5_complex1) = k4_struct_0(k15_euclid(2)) )).
fof(t16_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ( k22_rvsum_1(B,B) = k5_numbers <=> k12_euclid(B) = k5_numbers ) ) ) )).
fof(t16_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(3))) => ( k5_euclid_5(k1_rlvect_1(k15_euclid(3),B,A),C) = k1_rlvect_1(k15_euclid(3),k5_euclid_5(B,C),A) & k5_euclid_5(k1_rlvect_1(k15_euclid(3),B,A),C) = k5_euclid_5(B,k1_rlvect_1(k15_euclid(3),C,A)) ) ) ) ) )).
fof(t16_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( k12_euclid(k5_algstr_0(k15_euclid(2),C,A)) = k12_euclid(k5_algstr_0(k15_euclid(2),B,C)) => ( A = B | k4_euclid_3(C,A,B) = k4_euclid_3(A,B,C) ) ) ) ) ) )).
fof(t16_euclid_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ( k12_euclid(A) = 1 => v2_euclid_7(k1_tarski(A)) ) ) )).
fof(t16_euclid_8,axiom,( k5_euclid_8(k2_euclid_8,k3_euclid_8) = k4_euclid_8 )).
fof(t16_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ~ ( A != k5_numbers & r2_tarski(D,k4_euclid_9(A,C,B)) & r1_xxreal_0(k3_xcmplx_0(B,k3_square_1(A)),k3_metric_1(k14_euclid(A),D,C)) ) ) ) ) ) )).
fof(t16_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => k7_euclid(A,k7_euclid(A,B,C),k7_euclid(A,D,E)) = k7_euclid(A,k7_euclid(A,B,D),k7_euclid(A,C,E)) ) ) ) ) ) )).
fof(t16_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r4_analmetr(A,B,C,B,D) & r4_analmetr(A,B,E,B,F) & r4_analmetr(A,B,E,B,G) & r4_analmetr(A,C,E,D,F) & r4_analmetr(A,C,E,D,G) ) => ( r5_analmetr(A,B,C,E) | B = D | F = G ) ) ) ) ) ) ) ) ) )).
fof(t16_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_int_1(C) => ( A != k5_numbers => k3_int_2(k2_xcmplx_0(A,k3_xcmplx_0(C,B)),B) = k3_int_2(A,B) ) ) ) ) )).
fof(t16_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => k2_euler_2(k1_euler_2(k8_finseq_1(k4_ordinal1,C,D),A),B) = k8_finseq_1(k4_ordinal1,k2_euler_2(k1_euler_2(C,A),B),k2_euler_2(k1_euler_2(D,A),B)) ) ) ) ) )).
fof(t16_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k2_exchsort(A) = k3_ordinal2(k9_xtuple_0(A)) ) )).
fof(t16_extens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => ( r3_msualg_3(A,B,C,D) <=> ! [E] : ( ( v4_msualg_1(E,A) & l3_msualg_1(E,A) ) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,E),u3_msualg_1(A,B)) => ! [G] : ( m2_pboole(G,u1_struct_0(A),u3_msualg_1(A,E),u3_msualg_1(A,B)) => ( ( r1_msualg_3(A,E,B,F) & r1_msualg_3(A,E,B,G) & r8_pboole(u1_struct_0(A),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,E),u3_msualg_1(A,B),u3_msualg_1(A,C),F,D),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,E),u3_msualg_1(A,B),u3_msualg_1(A,C),G,D)) ) => r8_pboole(u1_struct_0(A),F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r1_extpro_1(A,B,C,D) <=> ? [E] : ( v7_ordinal1(E) & r1_compos_1(B,C,k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E))) ) ) ) ) ) ) )).
fof(t16_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( A = k5_numbers <=> k3_extreal1(A) = k5_numbers ) ) )).
fof(t16_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( v7_ordinal1(D) => k5_facirc_1(A,B,C,k1_nat_1(D,1)) = k5_facirc_1(A,B,k6_circuit2(A,B,C),D) ) ) ) ) )).
fof(t16_facirc_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_relat_1(k3_msafree2(k3_facirc_2(A,B,C))) ) ) ) )).
fof(t16_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,A)) & r1_tarski(B,A) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,B)) ) ) )).
fof(t16_fcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,A) & r1_tarski(k1_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) ) => ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,k1_rcomp_1(k3_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))),k2_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))))) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,k1_rcomp_1(B,A)) & D = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).
fof(t16_fcont_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_rfunct_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) & k7_relset_1(k1_numbers,k1_numbers,B,A) = k1_numbers ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) )).
fof(t16_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_fdiff_1(B,A) & r1_fdiff_1(C,A) ) => ( r1_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & k1_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,A),k1_fdiff_1(B,A)),k3_xcmplx_0(k1_funct_1(B,A),k1_fdiff_1(C,A))) ) ) ) ) ) )).
fof(t16_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k16_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k16_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k16_sin_cos),A),B) = k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos,B),B),k3_xcmplx_0(k1_funct_1(k3_taylor_1,B),k1_funct_1(k18_sin_cos,B))) ) ) ) ) ) )).
fof(t16_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k18_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k18_sin_cos),A),B) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k2_sin_cos9,B)),k2_xcmplx_0(1,k1_square_1(B))) ) ) ) ) ) )).
fof(t16_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_fdiff_1(B,A) => ( r2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,B,A),A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(B,A),k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,B,A),A)) ) ) ) ) )).
fof(t16_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r3_fdiff_3(A,C) & r3_fdiff_3(B,C) ) => ( r3_fdiff_3(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) & k2_fdiff_3(C,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)) = k2_xcmplx_0(k2_fdiff_3(C,A),k2_fdiff_3(C,B)) ) ) ) ) ) )).
fof(t16_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(C)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k6_xcmplx_0(A,D) & k1_funct_1(C,D) != k5_numbers ) ) ) ) => ( r2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,C),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,C),B),D) = k7_xcmplx_0(1,k1_square_1(k6_xcmplx_0(A,D))) ) ) ) ) ) ) ) )).
fof(t16_fdiff_5,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k4_taylor_1(k7_xcmplx_0(1,2))))) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k4_taylor_1(k7_xcmplx_0(1,2))),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k4_taylor_1(k7_xcmplx_0(1,2))),A),B) = k2_xcmplx_0(k1_funct_1(k18_sin_cos,B),k3_xcmplx_0(k7_xcmplx_0(1,2),k6_prepower(B,k4_xcmplx_0(k7_xcmplx_0(1,2))))) ) ) ) ) ) )).
fof(t16_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k4_xcmplx_0(k3_xcmplx_0(D,k3_power(k4_power,A))) ) ) ) => ( r1_xxreal_0(A,k5_numbers) | ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),B),D) = k3_xcmplx_0(k6_prepower(A,k4_xcmplx_0(D)),k3_power(k4_power,A)) ) ) ) ) ) ) ) ) )).
fof(t16_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos6))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos6),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos6),A),B) = k2_xcmplx_0(k1_funct_1(k1_sin_cos6,B),k7_xcmplx_0(B,k3_square_1(k6_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) )).
fof(t16_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k22_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k22_sin_cos),A),B) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k26_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B))) ) ) ) ) ) )).
fof(t16_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k22_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k22_sin_cos),A),B) = k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k1_fdiff_9,B)),k1_funct_1(k16_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B))) ) ) ) ) ) )).
fof(t16_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k2_xboole_0(k5_relat_1(k1_net_1(A),u1_struct_0(A)),k5_relat_1(k1_net_1(A),u4_struct_0(A))) = k1_net_1(A) & k2_xboole_0(k5_relat_1(k1_net_1(A),u4_struct_0(A)),k5_relat_1(k1_net_1(A),u1_struct_0(A))) = k1_net_1(A) & k2_xboole_0(k2_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A))),k2_relat_1(k5_relat_1(k1_net_1(A),u4_struct_0(A)))) = k2_relat_1(k1_net_1(A)) & k2_xboole_0(k2_relat_1(k5_relat_1(k1_net_1(A),u4_struct_0(A))),k2_relat_1(k5_relat_1(k1_net_1(A),u1_struct_0(A)))) = k2_relat_1(k1_net_1(A)) ) ) )).
fof(t16_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v2_finseq_1(E) ) => ( E = k2_tarski(k4_tarski(A,C),k4_tarski(B,D)) => ( r1_xxreal_0(B,A) | k15_finseq_1(E) = k10_finseq_1(C,D) ) ) ) ) ) )).
fof(t16_fib_num3,axiom,( k1_fib_num3(4) = 7 )).
fof(t16_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => r1_xxreal_0(k2_power(k2_fib_num,A),k7_xcmplx_0(1,k3_square_1(5))) ) ) )).
fof(t16_filerec1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_finseq_1(E,D) => ( E = k11_finseq_1(A,B,C) => k2_rfinseq(D,2,E) = k9_finseq_1(C) ) ) ) )).
fof(t16_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(B,k2_filter_0(A,B)) & r2_tarski(k3_lattices(A,B,C),k2_filter_0(A,B)) & r2_tarski(k3_lattices(A,C,B),k2_filter_0(A,B)) ) ) ) ) )).
fof(t16_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(k4_filter_1(A,B),k5_filter_1(A,B,C),k5_filter_1(A,B,D)) <=> r2_tarski(k4_filter_0(A,C,D),B) ) ) ) ) ) )).
fof(t16_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) => ! [C] : ( ( ~ v1_xboole_0(C) & v18_lattices(C,A) & v21_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(C) & v18_lattices(C,B) & v21_lattices(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t16_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A),k8_fin_topo(A,k3_subset_1(u1_struct_0(A),B))) = k9_fin_topo(A,B) ) ) )).
fof(t16_finance1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => r1_tarski(k6_finance1(A,k1_numbers,B,k12_prob_1),k3_random_2(A,B)) ) ) )).
fof(t16_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & A != k5_numbers & ~ v2_funct_1(k3_finance2(B,A)) ) ) ) )).
fof(t16_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_tarski(k10_xtuple_0(B),k9_xtuple_0(A)) => ( v1_relat_1(k3_relat_1(B,A)) & v1_funct_1(k3_relat_1(B,A)) & v1_finseq_1(k3_relat_1(B,A)) ) ) ) ) )).
fof(t16_finseq_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k3_finseq_1(k7_finseq_1(B,k9_finseq_1(A))) = k1_nat_1(k3_finseq_1(B),1) ) )).
fof(t16_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => k2_finseq_1(A) != k2_finseq_1(k1_nat_1(A,1)) ) )).
fof(t16_finseq_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => k7_partfun1(A,k12_finseq_1(A,B),1) = B ) ) )).
fof(t16_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k3_finseq_1(k16_finseq_1(B,A)),k3_finseq_1(A)) ) ) )).
fof(t16_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( r2_finseq_4(k7_finseq_1(A,B),C) => r2_tarski(C,k5_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B))) ) ) ) )).
fof(t16_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k1_finseq_7(A,k3_finseq_4(A,B,C,D),2,E) = k3_finseq_4(A,B,E,D) ) ) ) ) ) )).
fof(t16_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_xxreal_0(k3_finseq_1(k3_finseq_8(A,B,C)),k3_finseq_1(B)) & r1_xxreal_0(k3_finseq_1(k3_finseq_8(A,B,C)),k3_finseq_1(C)) ) ) ) ) )).
fof(t16_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r2_relset_1(k4_ordinal1,B,k4_finseqop(A,B,k5_finseq_2(A,D,C),E),k5_finseq_2(B,D,k3_funct_2(A,B,E,C))) ) ) ) ) ) )).
fof(t16_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => k1_finsop_1(A,k5_finseq_2(A,1,B),C) = B ) ) ) )).
fof(t16_finsub_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(A)) => m1_subset_1(B,k1_zfmisc_1(A)) ) )).
fof(t16_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k10_fin_topo(A,C)) <=> ( k4_fintopo2(A,B,C) = k7_margrel1 & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_fintopo2(A,B,D,C) = k7_margrel1 & k5_fintopo2(A,B,D) = k6_margrel1 ) ) ) ) ) ) ) )).
fof(t16_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_fintopo3(A,B,2) = k9_fin_topo(A,k9_fin_topo(A,B)) ) ) )).
fof(t16_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r2_fintopo4(A,B,E,k5_numbers) & D = k7_relset_1(u1_struct_0(A),u1_struct_0(B),E,C) ) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),E,k9_fin_topo(A,C)),k9_fin_topo(B,D)) ) ) ) ) ) ) )).
fof(t16_fintopo5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_fintopo5(A,1)),u1_struct_0(k2_fintopo4(A))))) & v1_fintopo5(B,k5_fintopo5(A,1),k2_fintopo4(A)) ) ) )).
fof(t16_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v4_fin_topo(B,A) <=> v1_fintopo6(k1_fintopo6(A,B)) ) ) ) )).
fof(t16_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ( r2_tarski(k2_flang_1(A),C) => ( r1_tarski(B,k6_flang_1(A,B,C)) & r1_tarski(B,k6_flang_1(A,C,B)) ) ) ) ) )).
fof(t16_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k2_flang_1(A),B) => ( r1_xxreal_0(C,k5_numbers) | k8_flang_1(A,k7_flang_1(A,B,C)) = k8_flang_1(A,B) ) ) ) ) )).
fof(t16_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k1_flang_3(A,B,k2_xcmplx_0(C,1)) = k6_flang_1(A,k1_flang_3(A,B,C),B) ) ) )).
fof(t16_fomodel0,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( v5_relat_1(C,A) & v3_card_1(C,B) ) => r2_tarski(C,k4_finseq_2(B,A)) ) ) ) )).
fof(t16_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v13_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( ~ v14_fomodel1(B,k5_numbers,A) => ( v6_fomodel1(k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B),A) & k33_fomodel1(A,B) != k1_xboole_0 ) ) ) ) )).
fof(t16_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => r2_tarski(B,k30_fomodel2(A)) ) ) )).
fof(t16_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ( ( k31_fomodel2(B) = k31_fomodel2(C) & k1_fomodel2(B) = k1_fomodel2(C) ) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(C,A)) => ! [F] : ( ( v4_fomodel2(F,B) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ~ ( k2_partfun1(k6_subset_1(u1_struct_0(B),k1_tarski(u3_struct_0(B))),k4_numbers,u1_fomodel1(B),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) = k2_partfun1(k6_subset_1(u1_struct_0(C),k1_tarski(u3_struct_0(C))),k4_numbers,u1_fomodel1(C),k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) & k5_relat_1(D,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) = k5_relat_1(E,k9_subset_1(k15_fomodel1(B),k10_xtuple_0(F),k37_fomodel1(B))) & ! [G] : ( ( v4_fomodel2(G,C) & m2_subset_1(G,k3_finseq_2(k15_fomodel1(C)),k6_subset_1(k3_finseq_2(k15_fomodel1(C)),k1_tarski(k1_xboole_0))) ) => F != G ) ) ) ) ) ) ) ) ) )).
fof(t16_fomodel4,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel2(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [C] : ( ( v13_fomodel4(C,k5_numbers,A) & v13_fomodel4(C,1,A) & m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)),k9_setfam_1(k1_fomodel4(A))))) ) => ! [D] : ( v11_fomodel4(D,A,C) => ( ( r2_tarski(k25_fomodel4(A),C) & r2_tarski(k31_fomodel4(A),C) & r2_tarski(k33_fomodel4(A),C) & r2_tarski(k34_fomodel4(A),C) & r2_tarski(k35_fomodel4(A),C) & v6_fomodel2(D,A) & v14_fomodel4(D,A) ) => ( k25_fomodel2(A,k8_eqrel_1(k35_fomodel1(A),k8_fomodel4(A,C,D)),k41_fomodel4(A,C,D),B) = 1 <=> r2_tarski(B,D) ) ) ) ) ) ) )).
fof(t16_frechet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r1_tarski(C,A) => k8_relat_1(k1_funct_4(k6_partfun1(A),k7_funcop_1(B,D)),k6_subset_1(C,k1_tarski(D))) = k7_subset_1(C,k6_subset_1(C,B),k1_tarski(D)) ) )).
fof(t16_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m2_valued_0(C,u1_struct_0(A),B) => r1_tarski(k2_frechet(A,B),k2_frechet(A,C)) ) ) ) )).
fof(t16_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,C) ) => k1_funct_1(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) = k9_margrel1(k8_margrel1(E),F) ) ) ) ) ) ) ) )).
fof(t16_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(A,C),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & k2_msafree2(k8_fscirc_1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t16_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( ( r5_fsm_1(A,B,C,D,E) & r5_fsm_1(A,B,C,E,F) ) => r5_fsm_1(A,B,C,D,F) ) ) ) ) ) ) ) )).
fof(t16_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ( ( v3_fsm_2(B,A) & v1_fsm_2(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,u2_fsm_1(A,B),D)) != k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,u2_fsm_1(A,B),E)) & k3_funct_2(k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B),u1_fsm_1(A,B),k1_domain_1(u1_struct_0(B),A,F,C)) = u2_fsm_1(A,B) ) ) ) ) ) ) ) ) )).
fof(t16_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => u1_struct_0(k4_fsm_3(A,B,C)) = k1_zfmisc_1(u1_struct_0(C)) ) ) ) )).
fof(t16_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & ~ ( r2_tarski(A,k2_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(B,k2_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(C,k2_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(D,k2_msafree2(k7_ftacell1(A,B,C,D,E))) & r2_tarski(E,k2_msafree2(k7_ftacell1(A,B,C,D,E))) ) ) ) ) ) ) )).
fof(t16_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ r2_hidden(C,B) => k8_relat_1(k2_funcop_1(A,C),B) = k1_xboole_0 ) )).
fof(t16_funcsdom,axiom,( ! [A] : ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [E] : ( v1_xreal_0(E) => k1_binop_1(k6_funcsdom(A),k1_binop_1(k7_funcsdom(A),E,B),C) = k1_binop_1(k7_funcsdom(A),E,k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,C)) ) ) ) ) )).
fof(t16_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( r1_tarski(k10_xtuple_0(B),A) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( k9_xtuple_0(C) = A & k9_xtuple_0(D) = A & k3_relat_1(B,C) = k3_relat_1(B,D) ) => C = D ) ) ) ) => A = k10_xtuple_0(B) ) ) )).
fof(t16_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( B != k1_xboole_0 => ( k2_relset_1(B,C) = B <=> ! [D] : ( D != k1_xboole_0 => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,D))) ) => ( r2_relset_1(A,D,k1_partfun1(A,B,B,D,C,E),k1_partfun1(A,B,B,D,C,F)) => r2_relset_1(B,D,E,F) ) ) ) ) ) ) ) )).
fof(t16_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k3_tarski(k8_relat_1(k1_funct_3(B),A)),k8_relat_1(B,k3_tarski(A))) ) )).
fof(t16_funct_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_xboole_0(k9_xtuple_0(B),k9_xtuple_0(C)) & r2_hidden(A,k9_xtuple_0(B)) ) => k1_funct_1(k1_funct_4(B,C),A) = k1_funct_1(B,A) ) ) ) )).
fof(t16_funct_5,axiom,( ! [A] : ( k9_xtuple_0(A) = k1_xboole_0 <=> k10_xtuple_0(A) = k1_xboole_0 ) )).
fof(t16_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r1_tarski(k9_xtuple_0(F),k2_zfmisc_1(D,E)) => ( ( ~ r2_tarski(k1_funct_5(F),k4_partfun1(A,k4_partfun1(B,C))) & ~ r2_tarski(k3_funct_5(F),k4_partfun1(B,k4_partfun1(A,C))) ) | r2_tarski(F,k4_partfun1(k2_zfmisc_1(A,B),C)) ) ) ) )).
fof(t16_funct_7,axiom,( k4_numbers != k3_finseq_2(k4_numbers) )).
fof(t16_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_funct_8(A,k1_numbers,k1_numbers,B) => r2_funct_8(A,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,B)) ) ) ) )).
fof(t16_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) ) => ( ( v1_funct_9(C,A) & v1_funct_9(C,B) ) => ( k6_xcmplx_0(A,B) = k5_numbers | v1_funct_9(C,k6_xcmplx_0(A,B)) ) ) ) ) ) )).
fof(t16_functor0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)) & v1_functor0(C,A,B) & v2_functor0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(B,B)))) ) => ? [D] : ( m1_subset_1(D,B) & r8_pboole(k2_zfmisc_1(A,A),C,k7_funcop_1(k2_zfmisc_1(A,A),k4_tarski(D,D))) ) ) ) ) )).
fof(t16_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( ( v10_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v17_functor0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => v2_funct_1(k5_functor0(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t16_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ! [H] : ( ( v15_functor0(H,C,D) & m2_functor0(H,C,D) ) => ! [I] : ( m1_functor2(I,B,C,F,G) => ( r1_functor2(B,C,F,G) => r8_pboole(u1_struct_0(A),k6_functor3(A,B,D,k1_functor3(B,C,D,F,H),k1_functor3(B,C,D,G,H),E,k5_functor3(B,C,D,F,G,I,H)),k5_functor3(A,C,D,k1_functor3(A,B,C,E,F),k1_functor3(A,B,C,E,G),k6_functor3(A,B,C,F,G,E,I),H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => k1_fuznum_1(A,B,C) = k8_relset_1(A,k1_numbers,B,k1_rcomp_1(C,1)) ) ) ) )).
fof(t16_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_xxreal_0(k3_funct_2(A,k1_numbers,k4_fuzzy_1(A),B),k3_funct_2(A,k1_numbers,C,B)) & r1_xxreal_0(k3_funct_2(A,k1_numbers,C,B),k3_funct_2(A,k1_numbers,k5_fuzzy_1(A),B)) ) ) ) ) )).
fof(t16_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_funct_2(A,k1_numbers,k1_fuzzy_2(A,k1_fuzzy_2(A,B,D),C),k1_fuzzy_2(A,B,k2_fuzzy_1(A,D,C))) ) ) ) ) )).
fof(t16_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => r1_fuzzy_1(k3_fuzzy_4(A,B,C,k1_fuzzy_1(k2_zfmisc_1(A,B),D,E),F),k1_fuzzy_1(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,F),k3_fuzzy_4(A,B,C,E,F))) ) ) ) ) ) ) )).
fof(t16_fvaluat1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v1_realset2(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( C != k4_struct_0(B) & k3_fvaluat1(B,C,A) = k4_struct_0(B) ) ) ) ) )).
fof(t16_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => r7_binop_1(u1_struct_0(A),k4_vectsp_1(A),u1_algstr_0(A)) ) )).
fof(t16_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( ~ v1_xboole_0(k10_gate_1(A,B,C)) & ~ ( ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) | ( v1_xboole_0(A) & ~ v1_xboole_0(B) ) ) & v1_xboole_0(C) ) & ~ ( ~ ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) & ~ ( v1_xboole_0(A) & ~ v1_xboole_0(B) ) & ~ v1_xboole_0(C) ) ) & ~ ( ( ( ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) | ( v1_xboole_0(A) & ~ v1_xboole_0(B) ) ) & v1_xboole_0(C) ) | ( ~ ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) & ~ ( v1_xboole_0(A) & ~ v1_xboole_0(B) ) & ~ v1_xboole_0(C) ) ) & v1_xboole_0(k10_gate_1(A,B,C)) ) ) )).
fof(t16_gaussint,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k11_gaussint)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_gaussint)) => ! [C] : ( v1_rat_1(C) => ! [D] : ( v1_rat_1(D) => ( ( C = A & D = B ) => ( B = k4_struct_0(k11_gaussint) | k20_quofield(k11_gaussint,A,B) = k7_xcmplx_0(C,D) ) ) ) ) ) ) )).
fof(t16_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r4_gcd_1(A,B,k4_struct_0(A)) => B = k4_struct_0(A) ) ) ) )).
fof(t16_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( k9_genealg1(D,E,F,k5_numbers,k5_numbers,C) = k7_genealg1(D,E,F,C) & k9_genealg1(D,E,F,A,k5_numbers,k5_numbers) = k7_genealg1(D,E,F,A) & k9_genealg1(D,E,F,k5_numbers,B,k5_numbers) = k7_genealg1(D,E,F,B) ) ) ) ) ) ) ) )).
fof(t16_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => r2_geomtrap(A,D,E,B,C,B,C) ) ) ) ) ) ) )).
fof(t16_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(A,u1_struct_0(k7_gfacirc1(A,B,C))) & r2_tarski(B,u1_struct_0(k7_gfacirc1(A,B,C))) & r2_tarski(C,u1_struct_0(k7_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),u1_struct_0(k7_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k3_facirc_1),u1_struct_0(k7_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k3_facirc_1),u1_struct_0(k7_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k11_finseq_1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)),k4_facirc_1),u1_struct_0(k7_gfacirc1(A,B,C))) ) )).
fof(t16_gfacirc2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k5_gfacirc2(k5_numbers,A,B) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k6_gfacirc2(k5_numbers,A,B) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k7_gfacirc2(k5_numbers,A,B) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) ) ) ) )).
fof(t16_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ( r1_glib_000(A,C,D,B) <=> ( r2_glib_000(A,C,D,B) | r2_glib_000(A,D,C,B) ) ) ) )).
fof(t16_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( C = D => ( k3_glib_001(A,C) = k3_glib_001(B,D) & k4_glib_001(A,C) = k4_glib_001(B,D) ) ) ) ) ) ) )).
fof(t16_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_glib_002(A) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k1_glib_002(A,B) = k6_glib_000(A) ) ) ) )).
fof(t16_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k4_glib_001(A,B) = k3_glib_001(A,C) => k8_glib_003(A,k7_glib_001(A,B,C)) = k7_finseq_1(k8_glib_003(A,B),k8_glib_003(A,C)) ) ) ) ) )).
fof(t16_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)))) => ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),B)),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k7_glib_004(A,B)))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),B),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k7_glib_004(A,B))) ) ) ) )).
fof(t16_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( v7_ordinal1(D) => ( B != C => r1_glib_005(A,k1_funct_1(k12_glib_005(A,B,C),D),B,C) ) ) ) ) ) )).
fof(t16_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(C,k2_finseq_1(k1_matrix_0(E))) & k1_matrix_0(E) = k1_nat_1(B,1) & r2_tarski(A,k4_finseq_1(E)) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) ) => ( r1_xxreal_0(B,k5_numbers) | ( k3_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(C,u1_struct_0(k15_euclid(2)),E),A,D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,k1_nat_1(D,1)) & r2_tarski(k1_nat_1(D,1),k2_finseq_1(k1_matrix_0(E))) ) ) ) ) ) ) ) ) )).
fof(t16_goboard2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k1_goboard1(B),C),k1_funct_1(k1_goboard1(B),A)) ) ) ) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,A),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k3_finseq_1(k2_goboard2(B))))) ) ) ) )).
fof(t16_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v2_goboard1(C) & v3_goboard1(C) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) & r1_xxreal_0(1,A) ) => ( v3_relat_1(C) | r1_xxreal_0(k3_finseq_1(C),A) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)),k2_goboard5(C,B)) ) ) ) ) ) )).
fof(t16_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k2_goboard5(A,k1_matrix_0(A))) = a_1_3_goboard6(A) ) )).
fof(t16_goboard7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))) ) ) ) ) )).
fof(t16_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k3_finseq_1(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),D,k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,2))),k7_xcmplx_0(1,2)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,1),k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(D,2),k1_nat_1(C,2))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t16_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & k1_tops_1(k15_euclid(2),k4_goboard5(A,B)) = k1_xboole_0 ) ) ) )).
fof(t16_gobrd11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => v4_pre_topc(k2_goboard5(B,A),k15_euclid(2)) ) ) )).
fof(t16_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( ( ~ v3_relat_1(F) & v1_matrix_0(F) & v1_goboard1(F) & v2_goboard1(F) & v3_goboard1(F) & v4_goboard1(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(E),k9_matrix_0(F)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(E)) & r1_xxreal_0(C,k1_matrix_0(E)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(F)) & r1_xxreal_0(D,k1_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,D) ) => ( r1_xxreal_0(C,1) | r1_xxreal_0(D,1) | r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,k7_nat_d(C,1))),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,k7_nat_d(D,1)))) ) ) ) ) ) ) ) ) )).
fof(t16_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) <=> ( ~ r2_tarski(B,k2_goboard9(A)) & ~ r2_tarski(B,k3_goboard9(A)) ) ) ) ) )).
fof(t16_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m1_henmodel(C,A,B) => ! [D] : ( v7_ordinal1(D) => ( ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r1_xxreal_0(k7_cqc_sim1(A,E),D) & v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),E,C,k3_henmodel(A)) <=> r1_henmodel(A,B,E) ) ) ) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r1_xxreal_0(k7_cqc_sim1(A,E),k1_nat_1(D,1)) & v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),E,C,k3_henmodel(A)) <=> r1_henmodel(A,B,E) ) ) ) ) ) ) ) ) )).
fof(t16_gr_cy_1,axiom,( ! [A] : ( v1_int_1(A) => A = k5_group_1(k2_gr_cy_1,k5_gr_cy_1(1),A) ) )).
fof(t16_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ( ~ v8_struct_0(A) => r2_group_6(k2_gr_cy_1,A) ) ) )).
fof(t16_gr_cy_3,axiom,( k1_gr_cy_3(k5_numbers) = k5_numbers )).
fof(t16_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_graph_1(B) & l1_graph_1(B) ) => ( ( r4_graph_1(A,B) & r4_graph_1(B,A) ) => A = B ) ) ) )).
fof(t16_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),1) => k1_funct_1(k3_graph_2(A,B),k3_finseq_1(k3_graph_2(A,B))) = k1_funct_1(B,k3_finseq_1(B)) ) ) ) )).
fof(t16_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => k1_graph_3(A,k1_xboole_0) = k1_xboole_0 ) )).
fof(t16_graph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( v7_graph_1(C,B) & m2_graph_1(C,B) ) => ( v7_graph_1(k2_partfun1(k4_ordinal1,u4_struct_0(B),C,k2_finseq_1(A)),B) & m2_graph_1(k2_partfun1(k4_ordinal1,u4_struct_0(B),C,k2_finseq_1(A)),B) ) ) ) ) )).
fof(t16_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & v1_graph_4(B,A) & m2_graph_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ( ( r1_xxreal_0(1,k3_finseq_1(B)) & k3_finseq_1(C) = 1 & k1_funct_1(u1_graph_1(A),k1_funct_1(C,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,k3_finseq_1(B))) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(u2_graph_1(A),k1_funct_1(B,D)) = k1_funct_1(u2_graph_1(A),k1_funct_1(C,1)) ) ) ) => ( k1_funct_1(u1_graph_1(A),k1_funct_1(B,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(B,k3_finseq_1(B))) | ( v7_graph_1(k8_finseq_1(u4_struct_0(A),B,C),A) & v1_graph_4(k8_finseq_1(u4_struct_0(A),B,C),A) & m2_graph_1(k8_finseq_1(u4_struct_0(A),B,C),A) ) ) ) ) ) ) )).
fof(t16_graphsp,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v2_graph_1(C) & v6_graph_1(C) & l1_graph_1(C) ) => ! [D] : ( ( v7_graph_1(D,C) & m2_graph_1(D,C) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u4_struct_0(C),k8_graph_5) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(C),k8_graph_5))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( ( u1_struct_0(C) = k2_xboole_0(A,B) & r2_tarski(F,A) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ( ( r2_tarski(H,A) & r2_tarski(I,B) ) => ! [J] : ~ ( r2_tarski(J,u4_struct_0(C)) & r1_graph_4(C,H,I,J) ) ) ) ) ) => ( r8_graph_5(C,F,G,D,A,E) <=> r7_graph_5(C,F,G,D,E) ) ) ) ) ) ) ) )).
fof(t16_grcat_1,axiom,( ! [A] : ( ( v2_grcat_1(A) & l1_grcat_1(A) ) => ! [B] : ( ( v2_grcat_1(B) & l1_grcat_1(B) ) => ~ ( k7_grcat_1(A) = k8_grcat_1(B) & ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l2_algstr_0(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l2_algstr_0(E) ) => ~ ( m1_grcat_1(A,D,E) & m1_grcat_1(B,C,D) ) ) ) ) ) ) ) )).
fof(t16_grfunc_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ~ ( r2_hidden(A,k9_xtuple_0(D)) & D = k2_xboole_0(B,C) & k1_funct_1(D,A) != k1_funct_1(B,A) & k1_funct_1(D,A) != k1_funct_1(C,A) ) ) ) ) )).
fof(t16_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k2_grnilp_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => ( v15_algstr_0(k1_funct_1(B,C)) & v1_group_3(k1_funct_1(B,C),A) & m1_group_2(k1_funct_1(B,C),A) ) ) ) ) ) )).
fof(t16_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(E,k7_ideal_1(k12_polynom1(A,C),D)) => r1_rewrite1(k3_polyred(A,B,C,D),E,k8_polynom1(A,C)) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(E,k7_ideal_1(k12_polynom1(A,C),D)) => r7_polyred(A,B,C,E,D) ) ) ) ) ) ) ) )).
fof(t16_groeb_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r8_pboole(k15_pre_poly(A),k5_vfunct_1(k15_pre_poly(A),B,k4_polynom7(A,B,C)),k4_polynom7(A,B,k4_algstr_0(B,C))) ) ) )).
fof(t16_groeb_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k15_pre_poly(A))) => ( k3_polynom1(k15_pre_poly(A),B,k2_groeb_3(A,B,C,D)) = k3_xboole_0(k3_polynom1(k15_pre_poly(A),B,C),D) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( r2_tarski(E,k3_polynom1(k15_pre_poly(A),B,k2_groeb_3(A,B,C,D))) => k4_polynom1(A,B,k2_groeb_3(A,B,C,D),E) = k4_polynom1(A,B,C,E) ) ) ) ) ) ) )).
fof(t16_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,D,B) = C ) ) ) ) )).
fof(t16_group_10,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k7_group_1(k4_gr_cy_1(A)) = A ) )).
fof(t16_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => r1_tarski(k1_group_11(A,B,C),B) ) ) ) )).
fof(t16_group_14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_card_1(k4_card_3(k9_finseq_1(A))) = k1_card_1(A) ) )).
fof(t16_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( k7_group_1(A) = k3_xcmplx_0(B,C) & r1_int_2(B,C) & ! [D] : ( ( v8_struct_0(D) & v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v8_struct_0(E) & v15_algstr_0(E) & m1_group_2(E,A) ) => ~ ( u1_struct_0(D) = a_2_0_group_17(A,B) & u1_struct_0(E) = a_2_0_group_17(A,C) & v1_group_3(D,A) & v1_group_3(E,A) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r1_struct_0(D,G) & r1_struct_0(E,H) & F = k8_group_1(A,G,H) ) ) ) & k3_xboole_0(u1_struct_0(D),u1_struct_0(E)) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) ) ) ) ) ) ) ) )).
fof(t16_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_funct_1(k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,u1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),C))))) => k6_group_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)) = k6_group_1(A,C) ) ) ) ) ) )).
fof(t16_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_group_19(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( r2_funct_2(A,u1_struct_0(B),C,k8_funcop_1(u1_struct_0(B),A,k1_group_1(B))) => k5_group_19(A,B,C) = k1_group_1(B) ) ) ) ) )).
fof(t16_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( k2_group_2(A,k1_subset_1(u1_struct_0(A)),B) = k1_xboole_0 & k2_group_2(A,B,k1_subset_1(u1_struct_0(A))) = k1_xboole_0 ) ) ) )).
fof(t16_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k2_group_3(A,B,D) = k2_group_3(A,C,D) => B = C ) ) ) ) ) )).
fof(t16_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) & v2_funct_1(B) & v2_funct_1(C) & k10_xtuple_0(B) = k10_xtuple_0(C) ) => k3_group_4(A,B) = k3_group_4(A,C) ) ) ) ) )).
fof(t16_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_group_5(A,B,C) = k6_algstr_0(A,k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,B),k2_group_1(A,C)),B),C) & k2_group_5(A,B,C) = k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,B),k6_algstr_0(A,k2_group_1(A,C),B)),C) & k2_group_5(A,B,C) = k6_algstr_0(A,k2_group_1(A,B),k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,C),B),C)) & k2_group_5(A,B,C) = k6_algstr_0(A,k2_group_1(A,B),k6_algstr_0(A,k2_group_1(A,C),k6_algstr_0(A,B,C))) & k2_group_5(A,B,C) = k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,B),k2_group_1(A,C)),k6_algstr_0(A,B,C)) ) ) ) ) )).
fof(t16_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_group_3(D,A) & m1_group_2(D,A) ) => ( ( r2_tarski(B,k15_group_2(A,D)) & r2_tarski(C,k15_group_2(A,D)) ) => r2_tarski(k2_group_2(A,B,C),k15_group_2(A,D)) ) ) ) ) ) )).
fof(t16_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ( v1_relat_1(k10_finseq_1(A,B)) & v4_relat_1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_funct_1(k10_finseq_1(A,B)) & v1_partfun1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_group_7(k10_finseq_1(A,B)) ) ) ) )).
fof(t16_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_card_1(B) = k1_card_1(k5_group_2(A,C,k4_group_2(A,k2_group_1(A,C),B))) ) ) ) )).
fof(t16_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => m1_group_9(k4_group_9(A,B),A,C) ) ) )).
fof(t16_groupp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => v2_group_10(k6_group_2(A),B) ) ) )).
fof(t16_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_grsolv_1(A) & l3_algstr_0(A) ) => v1_grsolv_1(k10_group_6(A,B,C)) ) ) ) ) )).
fof(t16_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_gtarski1(A,B,C,D) => r1_gtarski1(A,D,C,B) ) ) ) ) ) )).
fof(t16_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [E] : ( m1_rlsub_1(E,k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))) => ( ( B = D & C = E ) => ( r1_struct_0(C,B) | ! [F] : ( m1_subset_1(F,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ( ( k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),F,E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(C),u1_struct_0(A),H,k1_rlvect_1(A,B,J)) & k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),G,E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(C),u1_struct_0(A),I,k1_rlvect_1(A,B,K)) ) => k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k3_rlvect_1(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),F,G),E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(C),u1_struct_0(A),k3_rlvect_1(C,H,I),k1_rlvect_1(A,B,k2_xcmplx_0(J,K))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k5_hahnban1(A,B,C,C),k7_hahnban1(A,B)) ) ) ) )).
fof(t16_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r2_tarski(C,k4_finseq_1(B)) & v1_hallmar1(B,A) ) => r1_xxreal_0(1,k4_card_1(k1_funct_1(B,C))) ) ) ) ) )).
fof(t16_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( B = C => k1_pre_topc(k3_pcomps_1(A),B) = k3_pcomps_1(k1_topmetr(A,C)) ) ) ) ) )).
fof(t16_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( ( v3_glib_001(B,A) & k4_glib_001(A,B) = k3_glib_001(A,C) ) => k7_glib_001(A,B,C) = C ) ) ) ) )).
fof(t16_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m1_henmodel(C,A,B) => ( r1_valuat_1(A,k1_henmodel(A),k5_cqc_lang(A),C,k3_henmodel(A)) <=> r1_henmodel(A,B,k5_cqc_lang(A)) ) ) ) ) )).
fof(t16_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),k1_hermitan(A,k1_hermitan(A,B)),B) ) ) )).
fof(t16_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & v6_anproj_2(A) & v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,D) & r1_collsp(A,E,F,G) & r1_collsp(A,B,F,J) & r1_collsp(A,E,C,J) & r1_collsp(A,B,G,I) & r1_collsp(A,D,E,I) & r1_collsp(A,C,G,H) & r1_collsp(A,D,F,H) ) => ( C = D | B = D | F = G | E = F | E = G | r1_collsp(A,B,C,E) | r1_collsp(A,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_heyting1,axiom,( k7_normform(k1_xboole_0) = k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)) )).
fof(t16_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ( C = k1_xboole_0 => k3_heyting2(A,B,C,C) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t16_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_heyting3(k1_nat_1(A,1),B) = k2_xboole_0(k3_heyting3(A,B),k6_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,k1_nat_1(k2_nat_1(2,A),3),B))) ) ) )).
fof(t16_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_taylor_1(C,A,B) & r1_taylor_1(D,A,B) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B),A),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,B),A),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(D,B),A))) ) ) ) ) ) )).
fof(t16_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k13_polynom3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = D & C = E ) => k5_algstr_0(k13_polynom3(A),B,C) = k2_normsp_1(A,D,E) ) ) ) ) ) ) )).
fof(t16_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => r2_tarski(k3_hilbert1(A,k2_hilbert1),k6_hilbert1) ) )).
fof(t16_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ( ~ r1_xxreal_0(k3_finseq_1(k3_hilbert1(A,B)),k3_finseq_1(A)) & ~ r1_xxreal_0(k3_finseq_1(k3_hilbert1(A,B)),k3_finseq_1(B)) ) ) ) )).
fof(t16_hilbert3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => k1_partfun1(k2_zfmisc_1(C,D),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),A,k16_funct_3(C,D,A,B,E,F),k9_funct_3(A,B)) = k1_partfun1(k2_zfmisc_1(C,D),C,C,A,k9_funct_3(C,D),E) ) ) ) ) )).
fof(t16_huffman1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ( C = k1_trees_4(A) => k6_trees_2(B,C) = k1_tarski(A) ) ) ) )).
fof(t16_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,k4_polynom5(A,B,C)),k4_polynom5(A,k5_vfunct_1(k4_ordinal1,A,B),C)) ) ) ) )).
fof(t16_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_hurwitz2(A,k8_polynom3(A,B,C)),k8_polynom3(A,k2_hurwitz2(A,B),k2_hurwitz2(A,C))) ) ) ) )).
fof(t16_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_idea_1(B,k6_idea_1(B,A)) ) ) )).
fof(t16_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k5_algstr_0(A,C,D),B) ) ) ) ) ) )).
fof(t16_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(A)) & r1_collsp(A,B,D,G) & r1_collsp(A,C,E,H) & r1_collsp(A,F,G,H) ) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u2_incsp_1(k3_incproj(A))) => ! [D] : ( m1_subset_1(D,u2_incsp_1(k3_incproj(A))) => ? [E] : ( m1_subset_1(E,u1_incsp_1(k3_incproj(A))) & ? [F] : ( m1_subset_1(F,u1_incsp_1(k3_incproj(A))) & ? [G] : ( m1_subset_1(G,u2_incsp_1(k3_incproj(A))) & r1_incsp_1(k3_incproj(A),B,G) & r1_incsp_1(k3_incproj(A),E,G) & r1_incsp_1(k3_incproj(A),F,G) & r1_incsp_1(k3_incproj(A),E,C) & r1_incsp_1(k3_incproj(A),F,D) ) ) ) ) ) ) ) ) )).
fof(t16_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => v4_incsp_1(k9_domain_1(u1_incsp_1(A),B,B,C,D),A) ) ) ) ) )).
fof(t16_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => m5_index_1(k4_tarski(k7_cat_1(A,B,C),k12_mcart_1(C)),u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) ) ) ) )).
fof(t16_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => ! [C] : ( m1_instalg1(C,B) => m1_instalg1(C,A) ) ) ) )).
fof(t16_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ( ( r2_int_1(A,B,E) & r2_int_1(C,D,E) ) => r2_int_1(k2_xcmplx_0(A,C),k2_xcmplx_0(B,D),E) ) ) ) ) ) ) )).
fof(t16_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_1(A,B) <=> r1_int_1(k1_int_2(A),k1_int_2(B)) ) ) ) )).
fof(t16_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_int_2(A,C) & ! [D] : ( v7_ordinal1(D) => k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A,D),B),C) != k5_numbers ) ) ) ) ) )).
fof(t16_int_5,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ~ ( ~ r1_xxreal_0(A,2) & ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ~ ( k3_finseq_1(B) = k3_nat_d(k7_nat_d(A,1),2) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k3_int_2(k1_recdef_1(B,C),A) = 1 ) ) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_int_5(k1_recdef_1(B,C),A) ) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(B)) & C != D & r2_int_1(k1_recdef_1(B,C),k1_recdef_1(B,D),A) ) ) ) ) ) ) ) )).
fof(t16_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k3_int_2(k3_xcmplx_0(A,B),k3_xcmplx_0(A,C)) = k3_xcmplx_0(k1_int_2(A),k3_int_2(B,C)) ) ) ) )).
fof(t16_int_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k8_newton) & v1_funct_1(A) & v1_partfun1(A,k8_newton) & v4_valued_0(A) & v2_pre_poly(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ( v1_int_7(A) & B = k8_nat_3(k8_newton,A) ) => r8_pboole(k8_newton,k13_nat_3(B),A) ) ) ) )).
fof(t16_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_int_2(A,D) & k3_pepin(A,D) = k3_xcmplx_0(B,C) ) => ( r1_xxreal_0(D,1) | k3_pepin(k1_newton(A,B),D) = C ) ) ) ) ) ) )).
fof(t16_integr11,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(A,k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos)) = k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4))),k2_seq_4(A)),k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4))),k3_seq_4(A))) ) )).
fof(t16_integr12,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v3_rcomp_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,G) & r1_tarski(G,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_taylor_1))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,G) => ( k1_funct_1(D,H) = k7_xcmplx_0(H,A) & ~ r1_xxreal_0(k1_funct_1(D,H),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(D,H)) & k1_funct_1(E,H) = 1 ) ) ) & r2_relset_1(k1_numbers,k1_numbers,F,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k1_taylor_1(2))) & G = k1_relset_1(k1_numbers,C) & r2_relset_1(k1_numbers,k1_numbers,C,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k2_sin_cos9)) ) => ( A = k5_numbers | k2_integra5(B,C) = k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,G),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k2_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_taylor_1),k7_xcmplx_0(A,2))),k2_seq_4(B)),k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,G),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,D,k2_sin_cos9)),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_taylor_1),k7_xcmplx_0(A,2))),k3_seq_4(B))) ) ) ) ) ) ) ) ) ) )).
fof(t16_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos,k16_sin_cos),k1_partfun2(k1_numbers,C)),k3_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1,k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)))) & r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t16_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(B,D) = k7_xcmplx_0(k1_funct_1(k18_sin_cos,k7_xcmplx_0(1,D)),k3_xcmplx_0(k1_square_1(D),k1_square_1(k1_funct_1(k16_sin_cos,k7_xcmplx_0(1,D))))) ) ) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)),k2_fdiff_9))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)),k2_fdiff_9),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C)),k2_fdiff_9),k3_seq_4(A))) ) ) ) ) )).
fof(t16_integr15,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_euclid(B)))) ) => r2_relset_1(A,k1_numbers,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,k9_integr15(B,D,A,E),k1_pdiff_1(C,B)),k26_valued_1(A,k1_numbers,k1_partfun1(A,k1_euclid(B),k1_euclid(B),k1_numbers,E,k1_pdiff_1(C,B)),D)) ) ) ) ) )).
fof(t16_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( k2_partfun1(k1_numbers,k2_numbers,B,A) = C => ( r1_integr16(A,B) <=> v1_integr16(C,A) ) ) ) ) ) )).
fof(t16_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( C = k1_rcomp_1(D,E) => k5_integr18(A,C,B) = k6_integr18(A,B,D,E) ) ) ) ) ) ) )).
fof(t16_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( ( v3_integr15(C,A) & C = D ) => v1_integr15(D,A,B) ) ) ) ) ) )).
fof(t16_integr20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( ( v2_comseq_2(k2_integra3(A,B)) & k1_seq_2(k2_integra3(A,B)) = k5_numbers & v2_comseq_2(k2_integra3(A,C)) & k1_seq_2(k2_integra3(A,C)) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ( k2_integra2(A,D,k3_xcmplx_0(2,E)) = k2_integra2(A,B,E) & k2_integra2(A,D,k1_nat_1(k3_xcmplx_0(2,E),1)) = k2_integra2(A,C,E) ) ) ) => ( v2_comseq_2(k2_integra3(A,D)) & k1_seq_2(k2_integra3(A,D)) = k5_numbers ) ) ) ) ) ) )).
fof(t16_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) ) => ( r1_integr18(E,k3_integra5(C,D),k6_vfunct_1(k1_numbers,E,F,G)) & v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(E),k6_vfunct_1(k1_numbers,E,F,G),k3_integra5(C,D)),E,k1_numbers) ) ) ) ) ) ) ) ) ) )).
fof(t16_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v3_funct_1(k2_partfun1(A,k1_numbers,k7_rfunct_1(A,A),A)) ) )).
fof(t16_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( v3_xxreal_2(B) & r1_xxreal_0(A,k5_numbers) ) => k2_seq_4(k1_integra2(B,A)) = k3_xcmplx_0(A,k3_seq_4(B)) ) ) ) )).
fof(t16_integra3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ( r2_hidden(A,k1_rvsum_1(C)) => ( r1_xxreal_0(k1_funct_1(C,1),A) & r1_xxreal_0(A,k1_funct_1(C,k3_finseq_1(C))) ) ) ) ) ) )).
fof(t16_integra4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v2_seq_2(k2_partfun1(A,k1_numbers,C,B)) => v1_seq_2(k2_partfun1(A,k1_numbers,k19_rfunct_3(A,C),B)) ) ) ) )).
fof(t16_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_rfunct_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) & r1_tarski(A,k1_relset_1(k1_numbers,B)) ) => r1_integra5(A,B) ) ) ) )).
fof(t16_integra6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( ~ r1_xxreal_0(k3_integra1(A),k5_numbers) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_integra1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ~ ( v2_comseq_2(k2_integra3(A,B)) & k1_seq_2(k2_integra3(A,B)) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ? [D] : ( m1_integra1(D,A) & r1_integra4(A,D,k1_nat_1(C,1)) & k2_integra2(A,B,C) = D ) ) ) ) ) ) )).
fof(t16_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k3_integra5(A,B))) & r1_tarski(k2_rcomp_1(A,B),k1_relset_1(k1_numbers,D)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k2_rcomp_1(A,B)) => k1_funct_1(D,E) = k2_xcmplx_0(k4_integra5(A,E,C),k1_funct_1(D,A)) ) ) ) => r1_integra7(k2_rcomp_1(A,B),D,C) ) ) ) ) ) )).
fof(t16_integra8,axiom,( k4_sin_cos6(k4_xcmplx_0(k7_xcmplx_0(k3_square_1(2),2))) = k7_xcmplx_0(k3_xcmplx_0(3,k28_sin_cos),4) )).
fof(t16_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,B) => k2_integra5(A,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k16_sin_cos))) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B)),k18_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B)),k18_sin_cos),k3_seq_4(A))) ) ) ) )).
fof(t16_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => r1_tarski(k5_interva1(A,B),k6_interva1(A,B)) ) ) )).
fof(t16_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ( v8_intpro_1(A) => r1_tarski(k8_intpro_1,A) ) ) )).
fof(t16_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k3_finseq_1(C),A) | k1_funct_1(k2_rfinseq(B,1,C),A) = k1_funct_1(C,k1_nat_1(A,1)) ) ) ) ) ) )).
fof(t16_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ! [C] : r1_isocat_1(k6_cat_2(k3_cat_1(B,C),A),A) ) )).
fof(t16_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => r2_nattra_1(B,C,k10_cat_2(A,B,C,D,k3_graph_1(A,E)),k10_cat_2(A,B,C,D,k4_graph_1(A,E))) ) ) ) ) ) )).
fof(t16_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tops_1(B,A) <=> ( v1_isomichi(B,A) & v3_pre_topc(B,A) ) ) ) ) )).
fof(t16_jgraph_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ~ ( ? [E] : ( E != C & r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(A)),k1_rltopsp1(k15_euclid(A),B,C),k1_rltopsp1(k15_euclid(A),C,D))) ) & ~ r2_tarski(B,k1_rltopsp1(k15_euclid(A),C,D)) & ~ r2_tarski(D,k1_rltopsp1(k15_euclid(A),B,C)) ) ) ) ) ) )).
fof(t16_jgraph_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ( B = a_0_1_jgraph_2 => r1_tarski(k2_relset_1(k8_struct_0(k15_euclid(2)),k2_partfun1(k8_struct_0(k15_euclid(2)),k8_struct_0(k15_euclid(2)),k1_jgraph_2,B)),u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B))) ) ) ) )).
fof(t16_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ( ( C = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,A) & B = k8_struct_0(k15_euclid(2)) & A = a_0_1_jgraph_3 ) => v5_pre_topc(C,k1_pre_topc(k15_euclid(2),A),k1_pre_topc(k15_euclid(2),B)) ) ) ) ) )).
fof(t16_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(B,k7_xcmplx_0(k18_euclid(A),k12_euclid(A))) => ( r1_xxreal_0(k5_numbers,k17_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k3_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B))))))),k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B)))) ) ) & ( r1_xxreal_0(k5_numbers,k17_euclid(A)) => k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k3_jgraph_4(B),A) = A ) ) ) ) )).
fof(t16_jgraph_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( C = a_0_5_jgraph_5 & v5_pre_topc(A,k5_topmetr,k15_euclid(2)) & v2_funct_1(A) & v5_pre_topc(B,k5_topmetr,k15_euclid(2)) & v2_funct_1(B) & k1_funct_1(A,k5_numbers) = k19_euclid(k4_xcmplx_0(1),k5_numbers) & k1_funct_1(A,1) = k19_euclid(1,k5_numbers) & k1_funct_1(B,1) = k19_euclid(k5_numbers,1) & k1_funct_1(B,k5_numbers) = k19_euclid(k5_numbers,k4_xcmplx_0(1)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),A),C) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),C) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),A),k2_relset_1(u1_struct_0(k15_euclid(2)),B)) ) ) ) ) )).
fof(t16_jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v1_xboole_0(E) & v2_compts_1(E,k15_euclid(2)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( E = a_0_0_jgraph_6 & r1_jordan6(E,A,B) & r1_jordan6(E,B,C) & r1_jordan6(E,C,D) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( v5_pre_topc(G,k5_topmetr,k15_euclid(2)) & v2_funct_1(G) & v5_pre_topc(H,k5_topmetr,k15_euclid(2)) & v2_funct_1(H) & F = a_0_1_jgraph_6 & k1_funct_1(G,k5_numbers) = C & k1_funct_1(G,1) = A & k1_funct_1(H,k5_numbers) = B & k1_funct_1(H,1) = D & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),G),F) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),H),F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),G),k2_relset_1(u1_struct_0(k15_euclid(2)),H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k17_euclid(C) = E & k17_euclid(D) = F & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(C),H) & r1_xxreal_0(G,k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),H) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k18_euclid(C),k18_euclid(B)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_jordan,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => r2_tarski(C,k1_topreal9(A,C,B)) ) ) ) )).
fof(t16_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xboole_0(k1_jordan2c(2,B),k2_goboard9(k1_jordan9(B,A))) ) ) )).
fof(t16_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_tarski(A,k1_jordan2c(2,B)) => r1_tarski(B,k2_jordan2c(2,A)) ) ) ) )).
fof(t16_jordan12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ! [C] : ! [D] : ~ ( ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),E) & r2_tarski(B,E) & r2_tarski(C,E) ) & ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) & r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),E) & r2_tarski(C,E) & r2_tarski(D,E) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),E) & r2_tarski(B,E) & r2_tarski(D,E) ) ) ) ) )).
fof(t16_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_tarski(k2_jordan2c(2,A),k2_goboard9(k1_jordan13(A,B))) ) ) ) )).
fof(t16_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k2_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)) ) ) ) ) ) ) ) ) )).
fof(t16_jordan16,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & r1_jordan5c(A,B,C,D,E) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ~ ( v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = B & k1_funct_1(F,1) = C & k1_funct_1(F,G) = D & k1_funct_1(F,H) = E & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,H) & r1_xxreal_0(H,1) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( C != D & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != C & F != D & r1_jordan17(A,C,F,D,E) ) ) ) ) ) ) ) ) )).
fof(t16_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k1_jordan18(B,A)) = k17_euclid(B) & k17_euclid(k2_jordan18(B,A)) = k17_euclid(B) ) ) ) )).
fof(t16_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k2_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_topreal1(2,k1_jordan1e(B,A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k8_jordan6(B)) ) ) ) ) ) ) )).
fof(t16_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) ) => r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_matrix_0(C)))) ) ) ) ) )).
fof(t16_jordan1b,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k1_jordan1a(k1_jordan8(A,B)) = k1_nat_1(k11_newton(2,k7_nat_d(B,1)),2) ) ) )).
fof(t16_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_int_1(D) => ~ ( D = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k18_euclid(C),k9_pscomp_1(A)),k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A))),k1_newton(2,B)),2)) & r1_xxreal_0(k2_xcmplx_0(k9_pscomp_1(A),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k7_pscomp_1(A),k9_pscomp_1(A)),k1_newton(2,B)),k6_xcmplx_0(D,1))),k18_euclid(C)) ) ) ) ) ) )).
fof(t16_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k24_pscomp_1(B),k4_goboard5(k1_jordan9(B,A),C)) ) ) ) )).
fof(t16_jordan1e,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan1e(A,B)),k3_topreal1(2,k2_jordan1e(A,B))) = k2_tarski(k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k22_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))) ) ) )).
fof(t16_jordan1g,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( ( r2_tarski(C,k10_xtuple_0(B)) & r2_tarski(D,k10_xtuple_0(B)) & r1_xxreal_0(k4_finseq_4(B,D),k4_finseq_4(B,C)) ) => k2_finseq_5(A,k1_finseq_5(A,B,C),D) = k1_finseq_5(A,k2_finseq_5(A,B,D),C) ) ) ) ) ) )).
fof(t16_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k3_finseq_1(A) = k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,k2_jordan1h(u1_struct_0(k15_euclid(2)),A))) ) )).
fof(t16_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(C,k1_nat_1(D,1)),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,k1_nat_1(D,1)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & r1_xxreal_0(C,1) ) ) ) ) ) ) ) )).
fof(t16_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k21_pscomp_1(B),A) ) => k21_pscomp_1(A) = k21_pscomp_1(B) ) ) ) )).
fof(t16_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => k1_jordan2c(A,k2_struct_0(k15_euclid(A))) = k1_struct_0(k15_euclid(A)) ) )).
fof(t16_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,D) & v3_tops_2(C,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & B = a_3_1_jordan20(A,C,D) ) => v3_pre_topc(B,k1_pre_topc(k15_euclid(2),A)) ) ) ) ) ) )).
fof(t16_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k10_jordan6(A) != k11_jordan6(A) ) )).
fof(t16_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k2_jordan21(k3_topreal1(2,k1_jordan9(A,B))) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k8_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k6_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))),2),k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_jordan9(A,B)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),k3_finseq_1(k1_jordan8(A,B)))))))) ) ) ) )).
fof(t16_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v2_funct_1(A) => v2_jordan23(A) ) ) )).
fof(t16_jordan24,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m3_topgrp_1(B,k15_euclid(2)) => ( v1_jordan1(A) => v1_jordan1(k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(t16_jordan2b,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_pcomps_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_pcomps_1(B))))) ) => ( ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(B)))) => ( F = k8_metric_1(B,E,D) => ( r1_xxreal_0(D,k5_numbers) | v3_pre_topc(k8_relset_1(u1_struct_0(A),u1_struct_0(k3_pcomps_1(B)),C,F),A) ) ) ) ) ) => v5_pre_topc(C,A,k3_pcomps_1(B)) ) ) ) ) )).
fof(t16_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r2_jordan2c(A,B,C) => r1_tarski(C,k3_subset_1(u1_struct_0(k15_euclid(A)),B)) ) ) ) ) )).
fof(t16_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k3_topreal1(2,A)) & B = k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),C),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,C),1),k3_finseq_1(A))) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) ) => r1_tarski(k2_topreal1(2,B,D),k2_topreal1(2,A,k7_nat_d(k2_xcmplx_0(k1_jordan3(A,C),D),1))) ) ) ) ) ) )).
fof(t16_jordan4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => k3_finseq_6(A,B,k5_numbers,k5_numbers) = k17_finseq_1(A,1,B) ) ) )).
fof(t16_jordan5a,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_funct_1(A) & v1_funct_2(A,u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)) & v5_pre_topc(A,k5_topmetr,k5_topmetr) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr)))) ) => ( ( k1_funct_1(A,k5_numbers) = k5_numbers & k1_funct_1(A,1) = 1 ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( B = D & C = E & ~ r1_xxreal_0(E,D) & F = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,B) & G = k3_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k5_topmetr),A,C) & r1_xxreal_0(G,F) ) ) ) ) ) ) ) ) ) )).
fof(t16_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) & v4_topreal1(A) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,k3_finseq_1(A)))) ) => B = 1 ) ) ) )).
fof(t16_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),B),k15_euclid(2)) & r2_tarski(C,k3_topreal1(2,A)) & r2_tarski(C,B) ) => r1_jordan5c(k3_topreal1(2,A),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),C,k2_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)))) ) ) ) ) )).
fof(t16_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_3_jordan5d(A) => B = k7_relat_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k17_pscomp_1(k3_topreal1(2,A))),u1_struct_0(k1_pre_topc(k15_euclid(2),k17_pscomp_1(k3_topreal1(2,A))))) ) ) ) )).
fof(t16_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => ( B = k1_jordan6(A,B,C) <=> k17_euclid(B) = k17_euclid(C) ) ) ) ) ) )).
fof(t16_jordan7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))))) ) => ~ ( v5_pre_topc(C,k5_topmetr,k15_euclid(A)) & v2_funct_1(C) & k2_relset_1(u1_struct_0(k15_euclid(A)),C) = B & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(A),B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(A),B))))) ) => ~ ( D = C & v3_tops_2(D,k5_topmetr,k1_pre_topc(k15_euclid(A),B)) ) ) ) ) ) ) )).
fof(t16_jordan8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,k3_finseq_1(k1_jordan8(A,C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A,C),k3_finseq_1(k1_jordan8(A,C)),B),A) ) ) ) ) )).
fof(t16_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => ( k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B)) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))) & k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B)) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)) & k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)) & k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))) ) ) ) ) ) )).
fof(t16_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,A) => ( B = k18_pscomp_1(A) | r1_topreal1(k15_euclid(2),B,k18_pscomp_1(A),k1_jordan7(A,B,k18_pscomp_1(A))) ) ) ) ) )).
fof(t16_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_ordinal1(D) => k4_knaster(A,B,C,k1_ordinal1(D)) = k1_funct_1(B,k4_knaster(A,B,C,D)) ) ) ) ) )).
fof(t16_kolmog01,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m2_prob_1(D,A,C) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),C) => ! [F] : ( m1_kolmog01(F,B,A,C) => ~ ( r2_kolmog01(A,C,D,B,F) & r2_tarski(E,k6_kolmog01(B,A,C,F)) & k3_funct_2(C,k1_numbers,D,E) != k5_numbers & k3_funct_2(C,k1_numbers,D,E) != 1 ) ) ) ) ) ) ) )).
fof(t16_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(C,E) = k5_xboole_0(D,k1_funct_1(B,E)) ) => r1_tarski(k5_subset_1(A,D,k3_kurato_0(A,B)),k4_kurato_0(A,C)) ) ) ) ) )).
fof(t16_kurato_1,axiom,( k3_subset_1(u1_struct_0(k3_topmetr),k6_kurato_1) = k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k4_subset_1(k1_numbers,k2_rcomp_1(k2_xxreal_0,1),k4_rcomp_1(1,2)),k3_borsuk_5(2,4)),k1_seq_4(4)),k1_seq_4(5)) )).
fof(t16_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( m2_valued_0(B,k9_setfam_1(u1_struct_0(A)),C) => r1_tarski(k1_kurato_2(A,C),k1_kurato_2(A,B)) ) ) ) ) )).
fof(t16_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v7_ordinal1(B) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & k1_newton(A,B) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(C),k1_pepin(D)),k1_pepin(E)),k1_pepin(F)) ) ) ) ) ) ) )).
fof(t16_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_lang1(k9_lang1(A)) = A ) )).
fof(t16_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,B) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( m2_finseq_1(F,D) => ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k1_matrix_0(E))) => ( ( ( G = A & k3_finseq_1(F) = k3_finseq_1(E) ) => k8_matrix_0(D,k3_laplace(A,C,B,D,E,F),G) = F ) & ( G != A => k8_matrix_0(D,k3_laplace(A,C,B,D,E,F),G) = k8_matrix_0(D,E,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,k1_funct_1(k1_latsubgr(A),B)) & r2_tarski(D,k1_funct_1(k1_latsubgr(A),B)) ) => r2_tarski(k6_algstr_0(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ) )).
fof(t16_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k13_lattice3(A,C,D),B) ) ) ) ) ) )).
fof(t16_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_lattices(A,B,D) & r1_lattices(A,C,D) ) => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(t16_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_lattices(A,B,C) = C ) => B = k6_lattices(A) ) ) ) )).
fof(t16_lattice3,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v4_orders_2(A) => k11_lattice3(A,k11_lattice3(A,B,C),D) = k11_lattice3(A,B,k11_lattice3(A,C,D)) ) ) ) ) ) )).
fof(t16_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => k1_lattice4(A,k1_setwiseo(u1_struct_0(A))) = k5_lattices(A) ) )).
fof(t16_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v2_lattice5(C,A,B) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => v2_lattice5(k6_lattice5(A,B,C,D),k5_lattice5(A),B) ) ) ) ) ) )).
fof(t16_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v3_lattice6(B,A) => v2_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) ) ) ) )).
fof(t16_lattice7,axiom,( ! [A] : ( ( v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v2_waybel_1(A) <=> ? [B] : ( ~ v1_xboole_0(B) & m2_lattice7(B) & r5_waybel_1(A,k1_yellow_1(B)) ) ) ) )).
fof(t16_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) ) => ( ( v4_ordinal1(B) & k9_xtuple_0(C) = B & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,B) => k1_funct_1(C,D) = k3_lattice8(A,D) ) ) ) => ( B = k5_numbers | k3_lattice8(A,B) = k3_tarski(k10_xtuple_0(C)) ) ) ) ) ) )).
fof(t16_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( D = a_3_1_latticea(A,B,C) & r2_tarski(C,D) ) => ( ~ v1_xboole_0(D) & v18_lattices(D,A) & v21_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t16_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r3_lattices(A,k5_lattices(A),B) ) ) )).
fof(t16_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,k7_nat_d(k39_glib_000(B),C)) & r1_xxreal_0(D,k39_glib_000(B)) & ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ~ ( r2_tarski(E,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & k1_recdef_1(k5_lexbfs(A,B,C),E) = D ) ) ) ) ) ) ) )).
fof(t16_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ! [D] : ( m1_subset_1(D,A) => r1_xxreal_0(k7_lfuzzy_0(A,B,D),k7_lfuzzy_0(A,C,D)) ) <=> r1_orders_2(k4_lfuzzy_0(A),k6_lfuzzy_0(A,B),k6_lfuzzy_0(A,C)) ) ) ) ) )).
fof(t16_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_lfuzzy_1(k4_fuzzy_2(A,A),A) & v4_lfuzzy_1(k4_fuzzy_2(A,A),A) & v3_lfuzzy_1(k4_fuzzy_2(A,A),A) ) ) )).
fof(t16_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_seq_2(A) & v2_limfunc1(B) ) => v1_limfunc1(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t16_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r6_limfunc2(B,A) & r6_limfunc2(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C))) ) ) ) ) ) => ( r6_limfunc2(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r5_limfunc2(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) ) )).
fof(t16_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r5_limfunc2(B,A) & v5_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r6_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t16_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),C,D)) = k1_vectsp_5(A,B,k1_vectsp_7(A,B,C),k1_vectsp_7(A,B,D)) ) ) ) ) )).
fof(t16_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & l1_vectsp_1(D,A) ) => ( ( r1_lmod_6(A,B,D) & r1_lmod_6(A,C,D) ) => ( k4_struct_0(B) = k4_struct_0(C) & r1_struct_0(C,k4_struct_0(B)) & ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => r1_lmod_6(A,B,C) ) & ( ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ( r1_struct_0(B,E) => r1_struct_0(C,E) ) ) => r1_lmod_6(A,B,C) ) & ( ( u1_struct_0(B) = u1_struct_0(C) & v7_vectsp_1(B,A) & v7_vectsp_1(C,A) ) => B = C ) & r1_lmod_6(A,k1_vectsp_4(A,B),C) ) ) ) ) ) ) )).
fof(t16_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( k14_lmod_7(A,B,E,C) = k14_lmod_7(A,B,E,D) <=> r1_struct_0(E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) )).
fof(t16_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_lopban_1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k8_lopban_1(A,B))) => ( E = k3_rlvect_1(k8_lopban_1(A,B),C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k9_lopban_1(A,B,E,F) = k3_rlvect_1(B,k9_lopban_1(A,B,C,F),k9_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t16_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( ~ v2_struct_0(k8_lopban_2(A)) & v13_algstr_0(k8_lopban_2(A)) & v2_rlvect_1(k8_lopban_2(A)) & v3_rlvect_1(k8_lopban_2(A)) & v4_rlvect_1(k8_lopban_2(A)) & v5_rlvect_1(k8_lopban_2(A)) & v6_rlvect_1(k8_lopban_2(A)) & v7_rlvect_1(k8_lopban_2(A)) & v2_funcsdom(k8_lopban_2(A)) & v1_vectsp_1(k8_lopban_2(A)) & v3_vectsp_1(k8_lopban_2(A)) & v3_group_1(k8_lopban_2(A)) & l1_funcsdom(k8_lopban_2(A)) ) ) )).
fof(t16_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,k1_bhsp_4(A,B),k1_bhsp_4(A,C)),k1_bhsp_4(A,k2_normsp_1(A,B,C))) ) ) ) )).
fof(t16_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,C),B) = k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k4_lopban_4(A,C)),B),k8_nat_1(u1_struct_0(A),C,B)) ) ) ) )).
fof(t16_lopban_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_normsp_2(A)),u1_struct_0(k4_normsp_2(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_normsp_2(A)),u1_struct_0(k4_normsp_2(B))))) ) => ( ( r1_funct_2(u1_struct_0(k4_normsp_2(A)),u1_struct_0(k4_normsp_2(B)),u1_struct_0(A),u1_struct_0(B),D,C) & v2_funct_2(D,u1_struct_0(k4_normsp_2(B))) ) => v1_t_0topsp(D,k4_normsp_2(A),k4_normsp_2(B)) ) ) ) ) ) )).
fof(t16_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_tarski(a_2_0_lopclset(A,B),k7_lopclset(A)) ) ) )).
fof(t16_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( B = g1_normsp_1(k2_lp_space(A),k7_rsspace(k4_rsspace,k2_lp_space(A)),k5_rsspace(k4_rsspace,k2_lp_space(A)),k6_rsspace(k4_rsspace,k2_lp_space(A)),k3_lp_space(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( v1_rsspace3(C,B) => v3_normsp_1(C,B) ) ) ) ) ) ) )).
fof(t16_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( r2_tarski(k1_relset_1(A,D),B) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k5_numbers = k1_funct_1(D,E) ) ) ) => ( r2_mesfun6c(A,B,C,D) & k1_mesfun6c(A,B,C,D) = k5_numbers ) ) ) ) ) ) )).
fof(t16_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => k1_binop_1(k13_rfunct_3(A),B,k1_binop_1(k4_lpspace1(A),k4_xcmplx_0(1),B)) = k2_partfun1(A,k1_numbers,k5_lpspace1(A),k1_relset_1(A,B)) ) ) )).
fof(t16_lpspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ( r1_xxreal_0(k2_power(k9_complex1(k2_xcmplx_0(A,B)),C),k2_power(k2_xcmplx_0(k9_complex1(A),k9_complex1(B)),C)) & r1_xxreal_0(k2_power(k2_xcmplx_0(k9_complex1(A),k9_complex1(B)),C),k2_power(k3_xcmplx_0(2,k4_xxreal_0(k9_complex1(A),k9_complex1(B))),C)) & r1_xxreal_0(k2_power(k9_complex1(k2_xcmplx_0(A,B)),C),k2_power(k3_xcmplx_0(2,k4_xxreal_0(k9_complex1(A),k9_complex1(B))),C)) ) ) ) ) ) )).
fof(t16_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(A)),k1_ltlaxio1(k2_ltlaxio1(A))))) = 1 ) ) ) )).
fof(t16_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => k4_ltlaxio2(k8_finseq_1(k1_hilbert1,A,B)) = k8_finseq_1(k1_hilbert1,k4_ltlaxio2(A),k4_ltlaxio2(B)) ) ) )).
fof(t16_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => r1_tarski(A,k5_ltlaxio3(A)) ) )).
fof(t16_ltlaxio4,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) ) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ( k2_relset_1(k1_hilbert1,B) = k3_ltlaxio4(k4_ltlaxio4(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B)))))) ) ) ) )).
fof(t16_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r2_hidden(k8_cqc_lang(A,D,k8_cqc_lang(A,C,B)),k4_cqc_the1(A)) & r2_hidden(C,k4_cqc_the1(A)) ) => r2_hidden(k8_cqc_lang(A,D,B),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(t16_margrel1,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k4_xboolean(B,k4_xboolean(C,A)) = k4_xboolean(k4_xboolean(B,C),A) ) ) ) )).
fof(t16_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_mathmorp(A,D,k1_mathmorp(A,C,B)) = k1_mathmorp(A,k3_rlvect_1(A,C,D),B) ) ) ) ) )).
fof(t16_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_matrix10(B) => v2_matrix10(k2_matrix10(A,B)) ) ) ) )).
fof(t16_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(B,A) & r2_tarski(A,k2_finseq_1(C)) & r2_tarski(B,k2_finseq_1(C)) & ! [D] : ( m1_matrix_1(D,k9_matrix_1(C)) => ~ ( v5_matrix_1(D,k8_matrix_1(k9_matrix_1(C))) & k1_funct_1(D,A) = B ) ) ) ) ) ) )).
fof(t16_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(D),B,C) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(D))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(D),B,C) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(D))) ) => ( ( r2_tarski(A,k2_finseq_1(k1_matrix_0(F))) & G = k4_matrix_0(u1_struct_0(D),F) ) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(C,k5_numbers) | k4_matrix_0(u1_struct_0(D),k2_matrix12(B,C,D,G,A,E)) = k5_matrix12(B,C,D,F,A,E) ) ) ) ) ) ) ) ) ) )).
fof(t16_matrix13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & v3_matrix_1(D,A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & v3_matrix_1(E,A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ( C = k4_matrix_3(B,D,E) => ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v3_matrix_1(C,A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & k13_matrix_3(A,B,C) = k11_fvsum_1(B,k13_matrix_3(A,B,D),k13_matrix_3(A,B,E)) ) ) ) ) ) ) ) )).
fof(t16_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,u1_struct_0(A),k5_numbers,k5_numbers) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => v1_matrix_6(B,k5_numbers,A) ) ) )).
fof(t16_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,B) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,D,C,A) & m2_finseq_1(F,k3_finseq_2(D)) ) => ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k1_matrix_0(E))) => k8_matrix_0(D,k1_matrix15(D,C,B,A,E,F),G) = k8_matrix_0(D,E,G) ) ) ) ) ) ) ) ) )).
fof(t16_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),A,A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix16(F,u1_struct_0(B)) & v1_matrix16(G,u1_struct_0(B)) & v1_matrix16(H,u1_struct_0(B)) ) => v1_matrix16(k3_matrix_3(B,k1_matrix_4(B,k2_matrix13(A,A,B,F,C),k2_matrix13(A,A,B,G,D)),k2_matrix13(A,A,B,H,E)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).
fof(t16_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( ( v5_matrix17(D,u1_struct_0(A)) & v5_matrix17(E,u1_struct_0(A)) & k3_finseq_1(D) = k3_finseq_1(E) ) => k3_matrix_3(A,k2_matrix13(k3_finseq_1(D),k3_finseq_1(D),A,k1_matrix17(u1_struct_0(A),D),B),k2_matrix13(k3_finseq_1(E),k3_finseq_1(E),A,k1_matrix17(u1_struct_0(A),E),C)) = k1_matrix17(u1_struct_0(A),k3_fvsum_1(A,k9_fvsum_1(A,D,B),k9_fvsum_1(A,E,C))) ) ) ) ) ) ) )).
fof(t16_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_matrix_0(k10_finseq_1(k1_xboole_0,k1_xboole_0)) & v2_matrix_0(k10_finseq_1(k1_xboole_0,k1_xboole_0),A,2,k5_numbers) & m2_finseq_1(k10_finseq_1(k1_xboole_0,k1_xboole_0),k3_finseq_2(A)) ) ) )).
fof(t16_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => v6_matrix_1(k6_partfun1(k2_finseq_1(A)),A) ) )).
fof(t16_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(k3_matrix_1(B,A))) => ( ( C = D => k1_funct_1(k8_matrix_0(u1_struct_0(B),k3_matrix_1(B,A),D),C) = k5_struct_0(B) ) & ( C != D => k1_funct_1(k8_matrix_0(u1_struct_0(B),k3_matrix_1(B,A),D),C) = k4_struct_0(B) ) ) ) ) ) ) ) )).
fof(t16_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) ) => k1_matrix_4(A,k1_matrix_4(A,B,C),D) = k1_matrix_4(A,k1_matrix_4(A,B,D),C) ) ) ) ) ) )).
fof(t16_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) & A = k3_matrix_5(A,B) ) => B = k8_matrix_5(k3_finseq_1(A),k1_matrix_0(A)) ) ) ) )).
fof(t16_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_6(C,A,B) => ( v1_matrix_6(k1_matrix_6(A,B,C),A,B) & k1_matrix_6(A,B,k1_matrix_6(A,B,C)) = C ) ) ) ) ) )).
fof(t16_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k12_matrix_3(B,A,k3_matrix_1(A,B)) = k1_group_1(A) ) ) ) )).
fof(t16_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_8(C,A,B) & v4_matrix_6(C,A,B) ) => C = k3_matrix_1(B,A) ) ) ) ) )).
fof(t16_matrix_9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m2_finseq_1(E,A) => ( E = k3_finseq_4(A,B,C,D) => k4_finseq_5(A,E) = k3_finseq_4(A,D,C,B) ) ) ) ) ) ) )).
fof(t16_matrixc1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( m2_finseq_2(C,k2_numbers,k4_finseq_2(A,k2_numbers)) => ! [D] : ( m2_finseq_2(D,k2_numbers,k4_finseq_2(A,k2_numbers)) => k10_seq_4(k5_matrixc1(C,D),B) = k5_matrixc1(k10_seq_4(C,B),D) ) ) ) ) )).
fof(t16_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => k1_wsierp_1(k10_matrixj1(A,k5_matrixj1(A,B,C))) = k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) )).
fof(t16_matrixj2,axiom,( ! [A] : ( l6_algstr_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(k9_matrixj2(A,B,C),E) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,E),D) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(t16_matrixr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_finseq_1(k9_fvsum_1(A,B,C)) = k3_finseq_1(B) ) ) ) )).
fof(t16_matrixr2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(C) = k1_matrix_0(D) & k3_finseq_1(B) = k1_matrix_0(C) ) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | r1_xxreal_0(k3_finseq_1(B),k5_numbers) | k4_matrix_3(A,k1_matrix_4(A,C,D),B) = k1_matrix_4(A,k4_matrix_3(A,C,B),k4_matrix_3(A,D,B)) ) ) ) ) ) ) )).
fof(t16_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( ( v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) ) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k4_rlvect_1(B,E)) = k4_rlvect_1(C,k4_finseqop(u1_struct_0(B),u1_struct_0(C),E,D)) ) ) ) ) ) ) )).
fof(t16_matrlin2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ( r2_tarski(A,k4_finseq_1(D)) => k4_rlvect_1(C,k5_matrlin(B,C,k7_matrix_0(u1_struct_0(B),k3_matrix_1(B,k3_finseq_1(D)),A),D)) = k7_partfun1(u1_struct_0(C),D,A) ) ) ) ) ) )).
fof(t16_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & l1_pre_topc(A) ) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_matroid0(A,C,B) & r1_matroid0(A,D,B) ) => k4_card_1(C) = k4_card_1(D) ) ) ) ) ) ) )).
fof(t16_matrprob,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(B)) ) => ( C = D => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => k7_matrix_0(A,C,E) = k7_matrix_0(B,D,E) ) ) ) ) ) ) ) )).
fof(t16_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ~ ( k8_matrix13(C,D) = A & ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),k7_nat_d(B,A),B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => k8_matrix13(C,k8_matrlin(u1_struct_0(C),A,k7_nat_d(B,A),B,D,E)) != B ) ) ) ) ) ) )).
fof(t16_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(D))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k13_fvsum_1(k2_vectsp_1,k1_matrtop1(E),k8_matrix_0(u1_struct_0(k2_vectsp_1),k2_matrtop3(D,A,B,C),C)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E,B),k17_sin_cos(A)),k3_xcmplx_0(k1_funct_1(E,C),k19_sin_cos(A))) ) ) ) ) ) ) ) )).
fof(t16_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v2_mazurulm(C,A,B) ) => v2_mazurulm(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) )).
fof(t16_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r2_pboole(A,C,B) & r2_pboole(A,D,B) ) => r2_pboole(A,k5_pboole(A,C,D),B) ) ) ) ) )).
fof(t16_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(C,k2_zfmisc_1(D,k2_tarski(A,B))) => ( r2_hidden(k1_xtuple_0(C),D) & ( k2_xtuple_0(C) = A | k2_xtuple_0(C) = B ) ) ) )).
fof(t16_measure1,axiom,( ! [A] : ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_tarski(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_tarski(A)))) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(k1_tarski(A),B,C) = A ) ) )).
fof(t16_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m1_measure2(D,A,B) => ( ! [E] : ( r2_tarski(E,D) => m2_measure1(E,A,B,C) ) => m2_measure1(k1_measure2(A,B,D),A,B,C) ) ) ) ) )).
fof(t16_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k2_measure3(A,B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_measure3(A,B,C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => k8_nat_1(k9_setfam_1(A),F,G) = k6_subset_1(k8_nat_1(k2_measure3(A,B,C),D,G),k8_nat_1(B,E,G)) ) ) ) ) ) ) )).
fof(t16_measure4,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => r1_measure3(A,k1_measure4(A,B),k3_measure4(A,B)) ) )).
fof(t16_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v1_measure5(A) => A = k1_measure5(k7_supinf_2(A),k8_supinf_2(A)) ) ) )).
fof(t16_measure7,axiom,( m1_measure4(k10_measure7,k1_numbers) )).
fof(t16_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_measure8(C,A,B) => m2_measure8(k3_prob_3(A,C),A,B) ) ) )).
fof(t16_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k5_member_1(k3_xboole_0(A,B)) = k3_xboole_0(k5_member_1(A),k5_member_1(B)) ) ) )).
fof(t16_membered,axiom,( ! [A] : ( v4_membered(A) => ( ! [B] : ( v1_rat_1(B) => r2_hidden(B,A) ) => A = k3_numbers ) ) )).
fof(t16_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ! [D] : ( v7_ordinal1(D) => k5_memstr_0(A,B,k1_funct_4(C,k7_memstr_0(A,B,D))) = D ) ) ) ) )).
fof(t16_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,F)),k1_rlvect_1(k15_euclid(2),C,F)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),A,G)) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | G = 1 | ( ~ ( k2_xcmplx_0(k6_xcmplx_0(1,G),k3_xcmplx_0(F,G)) != k5_numbers & r1_xboole_0(k5_rltopsp1(k15_euclid(2),A,D),k5_rltopsp1(k15_euclid(2),B,E)) ) & ~ ( ~ r1_xboole_0(k5_rltopsp1(k15_euclid(2),A,D),k5_rltopsp1(k15_euclid(2),B,E)) & k2_xcmplx_0(k6_xcmplx_0(1,G),k3_xcmplx_0(F,G)) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( m1_subset_1(E,C) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( E = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & E = k1_relset_1(A,F) & ! [G] : ( v7_ordinal1(G) => r1_mesfunc1(A,C,k4_mesfunc5(A,k6_numbers,B,G),E) ) & r1_mesfunc5(A,C,D,F) & ! [G] : ( m1_subset_1(G,A) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(G,E) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,H)),G),k12_supinf_2(F,G)) ) ) ) ) => ( ! [G] : ( v7_ordinal1(G) => r1_mesfunc5(A,C,D,k9_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,G))) ) & r1_mesfunc5(A,C,D,k9_mesfunc1(A,k5_mesfunc8(A,B))) & r1_mesfunc5(A,C,D,k9_mesfunc1(A,k6_mesfunc8(A,B))) ) ) ) ) ) ) ) ) )).
fof(t16_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( k1_relset_1(A,C) = D => ( r1_mesfun6c(A,B,C,E) <=> r1_mesfun6c(A,B,C,k5_prob_1(A,B,D,E)) ) ) ) ) ) ) ) )).
fof(t16_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k1_funct_1(D,F) = k8_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)),k12_mesfunc1(k4_mesfunc5(A,k1_numbers,C,F),E)) ) => k3_tarski(k2_relset_1(B,D)) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)),k16_mesfunc1(A,k3_mesfun7c(A,C),E)) ) ) ) ) ) ) )).
fof(t16_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [E] : ( v7_ordinal1(E) => ( ! [F] : ( v7_ordinal1(F) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,D,F),C) ) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,D),E),C) ) ) ) ) ) ) )).
fof(t16_mesfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ! [D] : ( v1_xxreal_0(D) => ( r1_tarski(C,k9_xtuple_0(B)) => k9_subset_1(A,C,k15_mesfunc1(A,B,D)) = k6_subset_1(C,k9_subset_1(A,C,k16_mesfunc1(A,B,D))) ) ) ) )).
fof(t16_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( ~ r1_xxreal_0(k12_supinf_2(k2_mesfunc2(A,B),C),k1_supinf_2) => k12_supinf_2(k1_mesfunc2(A,B),C) = k1_supinf_2 ) ) ) ) )).
fof(t16_mesfunc3,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( A = B => k4_extreal1(A) = k18_rvsum_1(B) ) ) ) )).
fof(t16_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v3_mesfunc5(B) & v3_mesfunc5(C) ) => k1_relset_1(A,k3_mesfunc1(A,B,C)) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) ) ) ) ) )).
fof(t16_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( r1_tarski(E,D) & r1_mesfunc6(A,B,C,D) ) => r1_mesfunc6(A,B,C,E) ) ) ) ) ) ) )).
fof(t16_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( v5_xxreal_2(k10_xtuple_0(B)) => v3_valued_0(B) ) ) ) )).
fof(t16_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),D,F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k17_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,F),E)) ) => k1_setfam_1(k2_relset_1(B,D)) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k17_mesfunc1(A,k1_mesfunc8(A,C),E)) ) ) ) ) ) ) )).
fof(t16_mesfunc9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v6_supinf_2(A) => ( v6_supinf_2(k1_mesfunc9(A)) & v7_valued_0(k1_mesfunc9(A)) ) ) ) )).
fof(t16_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( l1_metric_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k4_subset_1(u1_struct_0(B),k10_metric_1(B,C,A),k8_metric_1(B,C,A)) = k9_metric_1(B,C,A) ) ) ) )).
fof(t16_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(k1_metric_2(A,B),k2_metric_2(A)) ) ) )).
fof(t16_metric_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k3_xcmplx_0(A,D)),k3_xcmplx_0(C,B)),k3_xcmplx_0(k3_xcmplx_0(2,k3_xcmplx_0(A,F)),k3_xcmplx_0(E,C))),k3_xcmplx_0(k3_xcmplx_0(2,k3_xcmplx_0(B,F)),k3_xcmplx_0(E,D))),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k3_xcmplx_0(A,D)),k1_square_1(k3_xcmplx_0(C,B))),k1_square_1(k3_xcmplx_0(A,F))),k1_square_1(k3_xcmplx_0(E,C))),k1_square_1(k3_xcmplx_0(B,F))),k1_square_1(k3_xcmplx_0(E,D)))) ) ) ) ) ) ) )).
fof(t16_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => r2_metric_6(A,k8_metric_1(A,B,D),C) ) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,D) & r2_tarski(D,k2_pcomps_1(A)) ) => r2_metric_6(A,D,C) ) ) ) ) ) ) )).
fof(t16_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( m1_setfam_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(C,B) & m1_setfam_1(C,u1_struct_0(A)) & r1_ordinal1(k1_card_1(C),k1_card_1(k2_struct_0(A))) ) ) ) ) ) )).
fof(t16_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( r2_tarski(B,k2_finseq_1(A)) => k1_funct_1(k3_rlvect_1(k15_euclid(A),C,D),B) = k2_xcmplx_0(k1_funct_1(C,B),k1_funct_1(D,B)) ) ) ) ) ) )).
fof(t16_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_midsp_1(A,B,C,D,E) & r1_midsp_1(A,B,C,D,F) ) => E = F ) ) ) ) ) ) ) )).
fof(t16_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v12_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k4_algstr_0(A,B) => B = k4_struct_0(A) ) ) ) )).
fof(t16_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v4_midsp_2(D,B) & l1_midsp_2(D,B) ) => ! [E] : ( m2_finseq_2(E,u1_struct_0(u1_midsp_2(B,D)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,D)))) => k8_midsp_3(A,B,D,C,k7_midsp_3(A,B,D,C,E)) = E ) ) ) ) ) )).
fof(t16_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_tarski(A,k10_xtuple_0(B)) => ( r2_tarski(k6_mmlquer2(B,A),k1_relset_1(k4_ordinal1,B)) & A = k1_funct_1(B,k6_mmlquer2(B,A)) ) ) ) )).
fof(t16_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(F,G) & r1_tarski(B,C) & r1_relset_1(A,A,D,E) ) => r1_tarski(k13_mmlquery(A,B,E,F),k13_mmlquery(A,C,D,G)) ) ) ) ) ) ) ) )).
fof(t16_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,A) & v9_vectsp_1(E,A) & v10_vectsp_1(E,A) & v11_vectsp_1(E,A) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l1_vectsp_1(E,A) ) => ! [F] : ( ( v2_mod_2(F,A) & m1_mod_2(F,A,B,C) ) => ! [G] : ( ( v2_mod_2(G,A) & m1_mod_2(G,A,C,D) ) => ! [H] : ( ( v2_mod_2(H,A) & m1_mod_2(H,A,D,E) ) => k8_mod_2(A,H,k8_mod_2(A,G,F)) = k8_mod_2(A,k8_mod_2(A,H,G),F) ) ) ) ) ) ) ) ) )).
fof(t16_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( v1_vectsp_7(k7_domain_1(u1_struct_0(B),C,D),A,B) => ( C = D | ( D != k4_struct_0(B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => C != k3_vectsp_1(A,B,E,D) ) ) ) ) & ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => C != k3_vectsp_1(A,B,E,D) ) => ( D = k4_struct_0(B) | ( C != D & v1_vectsp_7(k7_domain_1(u1_struct_0(B),C,D),A,B) ) ) ) ) ) ) ) ) )).
fof(t16_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_vectsp_2(D,B) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ( ( C = k5_mod_4(B,D) & E = G & F = H ) => k1_algstr_0(D,G,H) = k1_algstr_0(C,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t16_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( r2_tarski(B,A) => ! [C] : ( m1_trees_1(C,A) => ! [D] : ( m1_trees_1(D,k4_trees_1(A,B)) => ( C = k8_finseq_1(k4_ordinal1,B,D) => r2_wellord2(k1_trees_2(A,C),k1_trees_2(k4_trees_1(A,B),D)) ) ) ) ) ) ) )).
fof(t16_modcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(k11_modcat_1(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(k11_modcat_1(A,B))) => ! [E] : ( m4_modcat_1(E,B,k4_modcat_1(B,k3_modcat_1(A,B))) => ! [F] : ( m4_modcat_1(F,B,k4_modcat_1(B,k3_modcat_1(A,B))) => ( ( C = E & D = F ) => ( ( k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) => k2_mod_2(B,F) = k3_mod_2(B,E) ) & ( k2_mod_2(B,F) = k3_mod_2(B,E) => k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) ) & ( k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) => r2_hidden(k4_tarski(F,E),k1_relset_1(k2_zfmisc_1(k4_modcat_1(B,k3_modcat_1(A,B)),k4_modcat_1(B,k3_modcat_1(A,B))),k10_modcat_1(B,k3_modcat_1(A,B)))) ) & ( r2_hidden(k4_tarski(F,E),k1_relset_1(k2_zfmisc_1(k4_modcat_1(B,k3_modcat_1(A,B)),k4_modcat_1(B,k3_modcat_1(A,B))),k10_modcat_1(B,k3_modcat_1(A,B)))) => k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) ) & ( k3_graph_1(k11_modcat_1(A,B),D) = k4_graph_1(k11_modcat_1(A,B),C) => k1_cat_1(k11_modcat_1(A,B),C,D) = k8_mod_2(B,F,E) ) & ( k3_graph_1(k11_modcat_1(A,B),C) = k3_graph_1(k11_modcat_1(A,B),D) => k2_mod_2(B,E) = k2_mod_2(B,F) ) & ( k2_mod_2(B,E) = k2_mod_2(B,F) => k3_graph_1(k11_modcat_1(A,B),C) = k3_graph_1(k11_modcat_1(A,B),D) ) & ( k4_graph_1(k11_modcat_1(A,B),C) = k4_graph_1(k11_modcat_1(A,B),D) => k3_mod_2(B,E) = k3_mod_2(B,F) ) & ( k3_mod_2(B,E) = k3_mod_2(B,F) => k4_graph_1(k11_modcat_1(A,B),C) = k4_graph_1(k11_modcat_1(A,B),D) ) ) ) ) ) ) ) ) ) )).
fof(t16_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,D))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k48_modelc_1(A,B,D))) => ( r3_modelc_1(A,B,D,C,k27_modelc_1(k48_modelc_1(A,B,D),E,F)) <=> ? [G] : ( m1_modelc_1(G,A,B) & k3_funct_2(k4_ordinal1,A,G,k5_numbers) = C & ? [H] : ( m1_subset_1(H,k4_ordinal1) & ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( ~ r1_xxreal_0(H,I) => r3_modelc_1(A,B,D,k3_funct_2(k4_ordinal1,A,G,I),E) ) ) & r3_modelc_1(A,B,D,k3_funct_2(k4_ordinal1,A,G,H),F) ) ) ) ) ) ) ) ) ) )).
fof(t16_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r1_modelc_2(C,k5_modelc_2(A,B)) <=> ( C = A | C = B ) ) ) ) ) )).
fof(t16_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ( ~ r1_xxreal_0(1,k18_modelc_3(A,B)) => B = k7_modelc_3(A) ) ) ) )).
fof(t16_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(B)),k2_finseq_1(k1_nat_1(A,1))) => ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(B)),k2_finseq_1(A)) | ( v7_ordinal1(k1_nat_1(A,1)) & v1_int_2(k1_nat_1(A,1)) ) ) ) ) ) )).
fof(t16_moebius2,axiom,( k9_newton(11) = k2_enumset1(2,3,5,7) )).
fof(t16_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v4_vectsp_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k6_algstr_0(A,k5_struct_0(A),B) = B & k6_algstr_0(A,B,k5_struct_0(A)) = B ) ) ) ) )).
fof(t16_monoid_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( ~ v1_xboole_0(F) => ! [G] : ( ~ v1_xboole_0(G) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(B,C),D) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),D))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k2_zfmisc_1(E,F),G) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(E,F),G))) ) => ( r1_relset_1(k2_zfmisc_1(B,C),D,H,I) => r1_relset_1(k2_zfmisc_1(k9_funct_2(A,B),k9_funct_2(A,C)),k9_funct_2(A,D),k8_monoid_1(B,C,D,H,A),k8_monoid_1(E,F,G,I,A)) ) ) ) ) ) ) ) ) ) )).
fof(t16_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,D) => r1_tarski(k6_rusub_4(A,B,C),k6_rusub_4(A,B,D)) ) ) ) ) ) )).
fof(t16_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v1_msafree(k13_msafree(A,B),A,k11_msafree(A,B)) ) ) )).
fof(t16_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(A,k1_funct_1(k5_msafree3(B,C,D),E)) => m1_dtconstr(A,u1_struct_0(k5_msafree(B,C)),k5_trees_3(u1_struct_0(k5_msafree(B,C))),k1_msaterm(B,C)) ) ) ) ) ) )).
fof(t16_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) => r1_tarski(k4_card_3(B),k4_card_3(C)) ) ) ) )).
fof(t16_msafree5,axiom,( ! [A] : k4_trees_2(k1_trees_4(A)) = k1_tarski(A) )).
fof(t16_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(B,E)) => ( D = k1_trees_4(k4_tarski(F,E)) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B),D) = E ) ) ) ) ) ) ) )).
fof(t16_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v7_graph_1(C,A) & m1_graph_1(C,A) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v7_graph_1(D,A) & m1_graph_1(D,A) ) => ( B = k7_finseq_1(C,D) => ( k1_funct_1(k7_graph_2(A,B),1) = k1_funct_1(k7_graph_2(A,C),1) & k1_funct_1(k7_graph_2(A,B),k1_nat_1(k3_finseq_1(B),1)) = k1_funct_1(k7_graph_2(A,D),k1_nat_1(k3_finseq_1(D),1)) ) ) ) ) ) ) )).
fof(t16_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,B,k1_pboole(A)) => r6_pboole(A,C,k1_pboole(A)) ) ) )).
fof(t16_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( m1_msualg_2(k9_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)) => m1_unialg_2(A,B) ) ) ) )).
fof(t16_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( v2_relat_1(k2_pboole(u1_struct_0(A),k2_msualg_2(A,B),C)) => v2_relat_1(k9_msualg_2(A,B,C)) ) ) ) ) )).
fof(t16_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( r4_msualg_3(A,B,B,k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B))) & r5_msualg_3(A,B,B) ) ) ) )).
fof(t16_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_msualg_4(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ! [D] : ( ( v2_msualg_4(D,A,B) & v3_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v2_msualg_4(k3_pboole(u1_struct_0(A),C,D),A,B) & v3_msualg_4(k3_pboole(u1_struct_0(A),C,D),A,B) & m1_msualg_4(k3_pboole(u1_struct_0(A),C,D),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) ) ) )).
fof(t16_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => m2_msualg_6(k6_partfun1(k1_funct_1(u3_msualg_1(A,B),C)),A,B,C,C) ) ) ) )).
fof(t16_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v1_msualg_7(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => k16_lattice3(A,C) = k16_lattice3(B,C) ) ) ) ) )).
fof(t16_msualg_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_partfun1(D,k1_funct_1(B,C)) & v3_relat_2(D) & v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,C),k1_funct_1(B,C)))) ) => ? [E] : ( v1_msualg_4(E,A,B) & m1_msualg_4(E,A,B,B) & r2_relset_1(k1_funct_1(B,C),k1_funct_1(B,C),k1_msualg_4(A,B,B,E,C),D) & ! [F] : ( m1_subset_1(F,A) => ( F != C => r2_relset_1(k1_funct_1(B,F),k1_funct_1(B,F),k1_msualg_4(A,B,B,E,F),k1_eqrel_1(k1_funct_1(B,F))) ) ) ) ) ) ) ) )).
fof(t16_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r3_msualg_3(A,B,C,D) => r6_msualg_3(A,B,k6_msualg_3(A,B,C,D)) ) ) ) ) ) )).
fof(t16_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) => r1_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) ) ) ) )).
fof(t16_mycielsk,axiom,( ! [A] : ( ( v4_dilworth(A) & v2_mycielsk(A) & l1_orders_2(A) ) => r1_xxreal_0(k2_dilworth(A),k3_mycielsk(A)) ) )).
fof(t16_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ ( v3_pcomps_1(A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ~ v6_nagata_1(B,A) ) ) ) )).
fof(t16_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) ) => ( ( r1_nagata_1(u1_struct_0(A),B) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( r1_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,B,C) => v1_pscomp_1(C,k2_borsuk_1(A,A)) ) ) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k2_pre_topc(A,C)) => k3_funct_2(u1_struct_0(A),k1_numbers,k3_nagata_2(u1_struct_0(A),B,C),D) = k5_numbers ) ) ) ) ) ) )).
fof(t16_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( B != k5_numbers & r1_xxreal_0(k2_xcmplx_0(A,B),A) ) ) ) )).
fof(t16_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => k1_nat_d(k2_power(2,B),k2_power(2,A)) = k2_power(2,k7_nat_d(B,A)) ) ) ) )).
fof(t16_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) & v3_valued_0(C) ) => ( A != k5_numbers => k13_pre_poly(C) = k13_pre_poly(k4_nat_3(B,C,A)) ) ) ) )).
fof(t16_nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ~ ( B != k5_numbers & C = k1_newton(A,k11_nat_3(B,A)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( D = C & r1_xxreal_0(1,D) & r1_xxreal_0(D,B) ) ) ) ) ) )).
fof(t16_nat_5,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k3_moebius1(A)) & r2_tarski(D,k3_moebius1(B)) ) => r2_tarski(k3_xcmplx_0(C,D),k3_moebius1(k3_xcmplx_0(A,B))) ) ) ) ) ) )).
fof(t16_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_int_7(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_int_7(A))) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ( ( B = D & C = E ) => k8_group_1(k3_int_7(A),B,C) = k5_int_1(k3_xcmplx_0(D,E),A) ) ) ) ) ) ) )).
fof(t16_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k2_nat_d(A,C) = k5_numbers => ( C = k5_numbers | r1_xxreal_0(C,B) | k2_nat_d(k2_xcmplx_0(A,B),C) = B ) ) ) ) ) )).
fof(t16_nat_lat,axiom,( m2_nat_lat(k10_nat_lat,k3_nat_lat) )).
fof(t16_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,A,B,C) => k9_cat_3(A,B,C,A,k10_cat_1(A),D) = D ) ) ) ) ) )).
fof(t16_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r3_ncfcont1(B,A,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(B),C)) & ! [E] : ( m1_ncfcont1(E,A,k7_partfun1(u1_struct_0(A),C,D)) => ? [F] : ( m1_nfcont_1(F,B,D) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(G,k1_relset_1(u1_struct_0(B),C)) & r2_tarski(G,F) ) => r2_tarski(k7_partfun1(u1_struct_0(A),C,G),E) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r1_ncfcont2(A,B,C,D) => r5_ncfcont2(A,B,k4_normsp_0(u1_struct_0(B),C,D)) ) ) ) ) )).
fof(t16_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( v1_xreal_0(D) => ( r1_ndiff_3(A,C,B) => ( r1_ndiff_3(A,k4_vfunct_1(k1_numbers,A,C,D),B) & k1_ndiff_3(A,k4_vfunct_1(k1_numbers,A,C,D),B) = k1_rlvect_1(A,k1_ndiff_3(A,C,B),D) ) ) ) ) ) ) )).
fof(t16_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k8_integr15(A,k1_numbers,C,D))) & r2_ndiff_4(A,C,B) & r2_ndiff_4(A,D,B) ) => ( r2_ndiff_4(A,k8_integr15(A,k1_numbers,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_ndiff_4(A,k8_integr15(A,k1_numbers,C,D),B),E) = k8_euclid(A,k1_ndiff_4(A,C,E),k1_ndiff_4(A,D,E)) ) ) ) ) ) ) ) ) )).
fof(t16_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != C => k2_ndiff_5(A,B,C) = a_3_0_ndiff_5(A,B,C) ) ) ) ) )).
fof(t16_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_ndiff_6(A,B,C,D,2) <=> ( r1_tarski(D,k1_relset_1(u1_struct_0(A),C)) & r2_ndiff_1(D,A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D)) & r2_ndiff_1(D,A,k16_lopban_1(A,B),k4_ndiff_1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),D)) ) ) ) ) ) ) )).
fof(t16_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(E,A,B) & v1_lopban_1(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( r1_tarski(F,u1_struct_0(B)) & v2_funct_1(E) & v2_funct_2(E,u1_struct_0(B)) & v1_mazurulm(E,A,B) ) => ( r3_nfcont_1(B,C,D,F) <=> r3_nfcont_1(A,C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),E,D),k8_relset_1(u1_struct_0(A),u1_struct_0(B),E,F)) ) ) ) ) ) ) ) )).
fof(t16_neckla_3,axiom,( ! [A] : ( ( v1_orders_2(A) & v3_necklace(A) & l1_orders_2(A) ) => k3_necklace(k3_necklace(A)) = A ) )).
fof(t16_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k1_card_1(u1_orders_2(k1_necklace(A))) = k6_xcmplx_0(A,1) ) ) )).
fof(t16_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ( k2_net_1(A) != k1_xboole_0 => r1_tarski(k5_net_1(A,B),k2_net_1(A)) ) ) ) )).
fof(t16_newton,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k2_newton(A),k4_ordinal1) ) )).
fof(t16_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k6_xcmplx_0(k1_newton(A,3),k1_newton(B,3)) = k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(A,B),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(A,B)),k1_newton(A,2)),k1_newton(B,2))),2) ) ) )).
fof(t16_nfcont_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_nfcont_1(B,C,D,E) => r1_nfcont_1(B,C,k4_vfunct_1(u1_struct_0(B),C,D,A),E) ) ) ) ) ) ) )).
fof(t16_nfcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(C,k9_complex1(k3_xcmplx_0(B,k2_power(A,D)))) ) ) ) ) ) )).
fof(t16_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r1_tarski(B,k1_relset_1(k1_numbers,C)) => ( v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),C,B),A) <=> ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r1_tarski(k2_relset_1(k1_numbers,D),B) & v2_comseq_2(D) & r2_hidden(k1_seq_2(D),B) ) => ( v3_normsp_1(k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,D,C),A) & k7_partfun1(u1_struct_0(A),C,k1_seq_2(D)) = k5_normsp_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),k1_numbers,D,C)) ) ) ) ) ) ) ) )).
fof(t16_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_nfcont_4(A,D,C) => r1_nfcont_4(A,k9_integr15(A,B,k1_numbers,D),C) ) ) ) ) ) )).
fof(t16_normform,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(B)) => ! [E] : ( m1_subset_1(E,B) => ( r2_tarski(E,D) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k3_funct_2(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),C,E),k6_normform(B,A,D,C)) ) ) ) ) ) )).
fof(t16_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k1_nat_1(C,1)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k2_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t16_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) => ( B = C => ( v3_nfcont_1(B,A) <=> v3_pre_topc(C,k3_normsp_2(A)) ) ) ) ) ) )).
fof(t16_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_normsp_3(B,A) & r1_tarski(B,C) ) => v1_normsp_3(C,A) ) ) ) ) )).
fof(t16_numbers,axiom,( r1_tarski(k4_numbers,k2_numbers) )).
fof(t16_numeral2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( v1_int_1(B) => ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_afinsq_1(A)) => r1_int_1(B,k1_funct_1(A,C)) ) ) => r1_int_1(B,k7_afinsq_2(A)) ) ) ) )).
fof(t16_numpoly1,axiom,( k1_numpoly1(6) = 21 )).
fof(t16_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_o_ring_1(B,A) & v13_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t16_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( r2_tarski(C,k10_openlatt(A,B)) <=> ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(B,C) ) ) ) ) )).
fof(t16_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_qmax_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r2_oposet_1(A,B) => r1_oposet_1(A,B) ) ) ) )).
fof(t16_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & ~ ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => k5_oppcat_1(A,k1_cat_1(A,E,F)) = k1_cat_1(k2_oppcat_1(A),k7_oppcat_1(A,C,D,F),k7_oppcat_1(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(t16_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_ordeq_01(B,C))) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( F = D & G = E & k1_relset_1(k1_numbers,F) = B & k1_relset_1(k1_numbers,G) = B ) => ( E = k1_rlvect_1(k5_ordeq_01(B,C),D,A) <=> ! [H] : ( m2_subset_1(H,k1_numbers,B) => k7_partfun1(u1_struct_0(C),G,H) = k1_rlvect_1(C,k7_partfun1(u1_struct_0(C),F,H),A) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_nfcont_3(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(B,C) & k1_relset_1(k1_numbers,E) = k1_rcomp_1(B,C) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k1_rcomp_1(B,C)) => k7_partfun1(u1_struct_0(A),F,G) = k3_rlvect_1(A,D,k6_integr18(A,E,B,G)) ) ) ) => k7_partfun1(u1_struct_0(A),F,B) = D ) ) ) ) ) ) ) )).
fof(t16_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_orders_1(A) => v1_orders_1(k2_relat_1(A)) ) ) )).
fof(t16_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => k2_orders_2(A,k1_struct_0(A)) = u1_struct_0(A) ) )).
fof(t16_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r1_ordinal1(A,B) | r2_tarski(B,A) ) ) ) )).
fof(t16_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ! [C] : ( ( r2_tarski(A,B) & r1_tarski(B,C) ) => r1_ordinal1(k2_ordinal2(C),k2_ordinal2(B)) ) ) )).
fof(t16_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ~ ( r1_ordinal1(A,1) & A != k1_xboole_0 & A != 1 ) ) )).
fof(t16_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ( ( v2_ordinal2(A) & v4_ordinal1(k9_xtuple_0(A)) ) => v4_ordinal1(k4_ordinal2(A)) ) ) )).
fof(t16_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => k1_ordinal5(A,1) = A ) )).
fof(t16_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( A != B => k1_ordinal6(k2_tarski(A,B)) = 2 ) ) ) )).
fof(t16_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_orders_2(B,F,C) => ( r1_orders_2(B,D,C) | ( k1_ortsp_1(A,B,C,k3_rlvect_1(B,D,F),E) = k1_ortsp_1(A,B,C,D,E) & k1_ortsp_1(A,B,C,D,k3_rlvect_1(B,E,F)) = k1_ortsp_1(A,B,C,D,E) ) ) ) ) ) ) ) ) ) )).
fof(t16_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( r2_tarski(D,k1_funct_1(B,C)) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( E = k1_trees_4(k4_tarski(D,C)) => k10_osafree(A,B,E) = C ) ) ) ) ) ) )).
fof(t16_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => v11_osalg_1(k3_osalg_1(A,B),A) ) ) )).
fof(t16_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => r1_tarski(k5_osalg_2(A,B,C),k5_msualg_2(A,B,C)) ) ) ) )).
fof(t16_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ~ ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) & ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D))) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,k6_msualg_3(A,B,C,D)),u3_msualg_1(A,C)) => ~ ( r2_msualg_3(A,B,k6_msualg_3(A,B,C,D),E) & r3_msualg_3(A,k6_msualg_3(A,B,C,D),C,F) & r8_pboole(u1_struct_0(A),D,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D)),u3_msualg_1(A,C),E,F)) & v1_osalg_3(E,A) & v1_osalg_3(F,A) ) ) ) ) ) ) ) ) )).
fof(t16_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) => ( v2_msualg_4(k17_msualg_4(A,B,C,D),A,B) & v3_msualg_4(k17_msualg_4(A,B,C,D),A,B) & m1_osalg_4(k17_msualg_4(A,B,C,D),A,B) ) ) ) ) ) ) )).
fof(t16_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v7_struct_0(B) & v2_analoaf(B) & l1_analoaf(B) ) => ( B = k2_analoaf(A) => v7_aff_2(k2_diraf(B)) ) ) ) )).
fof(t16_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A))) => ( r1_parsp_1(k9_parsp_1(A),B,C,B,D) => r1_parsp_1(k9_parsp_1(A),C,B,C,D) ) ) ) ) ) )).
fof(t16_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r1_parsp_2(A,B,C,D) & r1_parsp_1(A,B,C,D,E) & r1_parsp_2(A,B,C,E) ) ) ) ) ) ) )).
fof(t16_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),B))) ) => r1_tarski(k10_xtuple_0(C),k1_tarski(k1_funct_1(C,A))) ) )).
fof(t16_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_tarski(D,k8_subset_1(B,k1_relset_1(B,E),A)) => k7_partfun1(C,k2_partfun1(B,C,E,A),D) = k7_partfun1(C,E,D) ) ) ) ) ) )).
fof(t16_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => r1_setfam_1(B,k3_partit1(A,B,C)) ) ) ) )).
fof(t16_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r2_funct_2(A,k5_margrel1,k7_bvfunc_2(A,k7_bvfunc_2(A,B,C,D),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,B,C,E),C,D)) ) ) ) ) ) ) )).
fof(t16_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_diraf(A,F,E,B) & r2_analoaf(A,D,E,C,B) & r2_analoaf(A,F,D,F,C) ) => ( r3_diraf(A,F,B,C) | F = D | r1_diraf(A,F,D,C) ) ) ) ) ) ) ) ) )).
fof(t16_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r2_pboole(A,B,D) & r2_pboole(A,C,D) ) => r2_pboole(A,k2_pboole(A,B,C),D) ) ) ) ) )).
fof(t16_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_finset_1(B) => k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) = k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B)) ) ) ) )).
fof(t16_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k19_pcs_0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k19_pcs_0(A,B))) => ( r1_orders_2(k19_pcs_0(A,B),C,D) <=> ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( E = C & F = D & r1_orders_2(A,E,F) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( E = C & F = D & r1_orders_2(B,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t16_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(C))))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(C)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(B))) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(B)) => ( ( D = E & F = G ) => ( r2_pdiff_1(C,B,A,D,F) <=> r4_pdiff_1(B,C,A,E,G) ) ) ) ) ) ) ) ) ) )).
fof(t16_pdiff_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_euclid(2))) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r2_pdiff_2(B,A) => ( r1_tarski(A,k1_relset_1(k1_euclid(2),B)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(2)) => ( r2_tarski(C,A) => r3_pdiff_1(2,2,B,C) ) ) ) ) ) ) )).
fof(t16_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( r4_pdiff_3(B,A) => k5_pdiff_3(B,A) = k10_pdiff_1(2,2,k1_pdiff_3(2,2,B),A) ) ) ) )).
fof(t16_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(3)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( E = k11_finseq_1(A,B,C) & r3_pdiff_1(3,1,F,E) ) => ( D = k10_pdiff_1(3,1,F,E) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & E = k11_finseq_1(G,H,I) & ? [J] : ( m1_rcomp_1(J,G) & r1_tarski(J,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,F,E))) & ? [K] : ( v1_funct_1(K) & v3_fdiff_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [L] : ( v1_funct_1(L) & v2_fdiff_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & D = k1_funct_1(K,1) & ! [M] : ( v1_xreal_0(M) => ( r2_hidden(M,J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,1,F,E),M),k1_funct_1(k1_pdiff_2(3,1,F,E),G)) = k2_xcmplx_0(k1_funct_1(K,k6_xcmplx_0(M,G)),k1_funct_1(L,k6_xcmplx_0(M,G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r7_pdiff_5(E,D) ) => k7_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,1,k1_pdiff_3(3,3,E),D),A) ) ) ) ) ) ) )).
fof(t16_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_euclid(B),k1_euclid(A)) & v1_pdiff_6(C,A,B) & v2_pdiff_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [D] : ( m2_finseq_1(D,k1_euclid(B)) => ! [E] : ( m2_finseq_1(E,k1_euclid(A)) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ( r2_tarski(F,k4_finseq_1(D)) => k1_funct_1(E,F) = k1_funct_1(C,k1_funct_1(D,F)) ) ) ) => k5_euclid_7(A,E) = k3_funct_2(k1_euclid(B),k1_euclid(A),C,k5_euclid_7(B,D)) ) ) ) ) ) ) )).
fof(t16_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,k4_struct_0(k4_real_ns1(A))),k1_rlvect_1(k4_real_ns1(1),B,C)) = k1_rlvect_1(k4_real_ns1(A),k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,k4_struct_0(k4_real_ns1(A))),B),C) ) ) ) ) ) )).
fof(t16_pdiff_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(B))) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,B) ) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(1),k3_funct_2(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(D,B),C)),A) ) ) => r1_xxreal_0(k2_normsp_0(k4_real_ns1(B),C),k3_xcmplx_0(B,A)) ) ) ) ) )).
fof(t16_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( ( r1_pdiff_6(C,B,A,D) & r1_pdiff_6(C,B,A,E) ) => ( r1_pdiff_6(C,B,A,k8_integr15(B,k1_euclid(A),D,E)) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_tarski(F,C) => k7_partfun1(k9_funct_2(k1_euclid(A),k1_euclid(B)),k1_pdiff_9(A,B,C,k8_integr15(B,k1_euclid(A),D,E)),F) = k8_integr15(B,k1_euclid(A),k8_pdiff_1(A,B,D,F),k8_pdiff_1(A,B,E,F)) ) ) ) ) ) ) ) ) ) )).
fof(t16_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ~ ( ! [C] : ( m1_subset_1(C,A) => ( ~ v4_pencil_1(k1_pencil_1(A,B,C)) & ~ ! [D] : ( m1_subset_1(D,A) => v3_pencil_1(k1_pencil_1(A,B,D)) ) ) ) & v4_pencil_1(k5_pencil_1(A,B)) ) ) ) )).
fof(t16_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v2_pencil_1(C,A) => v2_pencil_1(k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t16_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v15_pencil_1(C) ) => ! [D] : ( m1_subset_1(D,u1_pre_topc(k2_pencil_1(A,C,B))) => ! [E] : ( m1_pboole(E,A,k12_pralg_1(A,C)) => m1_subset_1(k4_card_3(k1_funct_7(k1_pzfmisc1(A,E),B,D)),u1_pre_topc(k5_pencil_1(A,C))) ) ) ) ) ) )).
fof(t16_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( m1_vectsp_4(C,A,D) => ! [E] : ( v7_ordinal1(E) => ~ ( k1_nat_1(k1_vectsp_9(A,C),1) = E & k1_vectsp_9(A,D) = k1_nat_1(E,1) & v1_zfmisc_1(k3_pencil_4(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(t16_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( v1_abian(A) & v1_abian(k1_nat_1(A,1)) ) ) )).
fof(t16_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_petri(k11_petri(A),k12_petri(A,B)) = k7_petri(A,B) ) ) )).
fof(t16_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v4_petri_df(A) & l1_petri(A) ) => ! [B] : ( ( v1_finseq_6(B,k2_net_1(A)) & v1_jordan23(B) & v2_petri_df(B,A) & m2_finseq_1(B,k2_net_1(A)) ) => ! [C] : ( m2_funct_2(C,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k5_petri_df(A,k2_petri_df(A,B),C) = k5_petri_df(A,k2_petri_df(A,B),k6_petri_df(A,C,D)) ) ) ) ) )).
fof(t16_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => r1_pnproc_1(A,k3_pnproc_1(A,k2_pnproc_1(A,B,C),B),C) ) ) )).
fof(t16_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_polyalg1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ( ( D = F & E = G ) => k6_algstr_0(B,D,E) = k6_algstr_0(C,F,G) ) ) ) ) ) ) ) ) )).
fof(t16_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k4_polyeq_1(A,B,C,D,E) = k5_numbers => ( A = k5_numbers | ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ! [J] : ( v1_xreal_0(J) => ( ( J = k2_xcmplx_0(E,k7_xcmplx_0(B,k3_xcmplx_0(3,A))) & I = k4_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(3,A))) & F = k7_xcmplx_0(B,A) & G = k7_xcmplx_0(C,A) & H = k7_xcmplx_0(D,A) ) => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(J,3),k3_xcmplx_0(k5_numbers,k1_square_1(J))),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(3,k1_square_1(A))),J)),k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( k1_polyeq_1(B,C,A) = k5_numbers => ( B = k5_numbers | A = k4_xcmplx_0(k7_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t16_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( k2_xcmplx_0(k1_newton(A,E),k1_newton(B,E)) = C & k3_xcmplx_0(k1_newton(A,E),k1_newton(B,E)) = D & r1_xxreal_0(k5_numbers,k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D))) & ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & v1_abian(E) & r1_xxreal_0(1,E) & ~ ( A = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) & B = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) ) & ~ ( A = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) & B = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) ) & ~ ( A = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) & B = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) ) & ~ ( A = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) & B = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) ) & ~ ( A = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) & B = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) ) & ~ ( A = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) & B = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) ) & ~ ( A = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2)) & B = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) ) & ~ ( A = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) & B = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,k3_square_1(k6_xcmplx_0(k1_square_1(C),k3_xcmplx_0(4,D)))),2))) ) ) ) ) ) ) ) )).
fof(t16_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ( ( F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,C),k1_newton(D,2)),9) & F = k5_numbers & G = k7_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(9,D),C),k3_xcmplx_0(2,k1_newton(D,3))),k3_xcmplx_0(27,B)),54) & E = k1_polyeq_5(3,k3_xcmplx_0(2,G)) ) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,3),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ~ ( A != k6_xcmplx_0(E,k7_xcmplx_0(D,3)) & A != k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(E,2)),k7_xcmplx_0(D,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E,k1_polyeq_5(2,3)),k7_complex1),2)) & A != k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(E,2)),k7_xcmplx_0(D,3)),k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E,k1_polyeq_5(2,3)),k7_complex1),2)) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_polyform,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => k3_finseq_1(k7_finseq_1(k7_finseq_1(A,B),C)) = k2_xcmplx_0(k2_xcmplx_0(k3_finseq_1(A),k3_finseq_1(B)),k3_finseq_1(C)) ) ) ) )).
fof(t16_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => k4_polynom1(A,B,E,F) = k1_algstr_0(B,k4_polynom1(A,B,C,F),k4_polynom1(A,B,D,F)) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),E,k5_polynom1(A,B,C,D)) ) ) ) ) ) )).
fof(t16_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k1_polynom2(A,k11_pre_poly(A,C,D),B,E) = k8_group_1(B,k1_polynom2(A,C,B,E),k1_polynom2(A,D,B,E)) ) ) ) ) ) )).
fof(t16_polynom3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k3_finseq_2(A)) => ! [C] : ( v7_ordinal1(C) => k10_pre_poly(A,k17_finseq_1(k3_finseq_2(A),C,B)) = k17_finseq_1(k4_ordinal1,C,k10_pre_poly(A,B)) ) ) )).
fof(t16_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k1_algseq_1(A,B) != k5_numbers & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( ~ r1_xxreal_0(k1_algseq_1(A,B),k1_algseq_1(A,C)) & r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k1_normsp_1(A,C,k1_polynom4(A,B))) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ~ r1_xxreal_0(k6_xcmplx_0(k1_algseq_1(A,B),1),D) => k8_nat_1(u1_struct_0(A),C,D) = k8_nat_1(u1_struct_0(A),B,D) ) ) ) ) ) ) ) )).
fof(t16_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,B,1),B) ) ) )).
fof(t16_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( k2_polynom7(A,B,C) = k16_pre_poly(A) & k3_polynom7(A,B,C) = k4_polynom1(A,B,C,k16_pre_poly(A)) ) ) ) )).
fof(t16_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v1_int_1(B) => k2_polynom8(A,k5_struct_0(A),B) = k5_struct_0(A) ) ) )).
fof(t16_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ( r2_tarski(F,k3_polynom1(k15_pre_poly(A),C,k1_polyred(A,E,C,D))) => r1_termord(A,B,F,k11_pre_poly(A,E,k3_termord(A,B,C,D))) ) ) ) ) ) ) ) )).
fof(t16_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v1_poset_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_lattice7(C,A,k3_yellow_0(A),B) => r1_xxreal_0(k4_card_1(C),2) ) ) ) )).
fof(t16_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(A,B) => ( ( ~ ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,C) ) & v1_abian(C) ) | r1_xxreal_0(k1_power(C,A),k1_power(C,B)) ) ) ) ) ) )).
fof(t16_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( r2_tarski(F,k1_relset_1(k4_ordinal1,k1_msualg_1(B,D))) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( G = k1_funct_1(k1_msualg_1(B,D),F) => ! [H] : ( m1_subset_1(H,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ( I = k1_funct_1(H,F) => r2_tarski(k1_funct_1(I,E),k1_funct_1(u3_msualg_1(B,k5_pralg_2(A,B,C,E)),G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_pre_circ,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ~ ( B != k1_xboole_0 & r1_xxreal_0(k4_card_1(A),k4_card_1(k4_trees_1(A,B))) ) ) ) )).
fof(t16_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( A != k5_numbers & r1_xxreal_0(k3_xcmplx_0(2,A),A) ) ) )).
fof(t16_pre_poly,axiom,( ! [A] : ! [B] : r1_tarski(k4_partfun1(A,B),k9_setfam_1(k2_zfmisc_1(A,B))) )).
fof(t16_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ( v4_pre_topc(D,A) & r1_tarski(B,D) ) ) ) & k2_pre_topc(A,B) = k6_setfam_1(u1_struct_0(A),C) ) ) ) )).
fof(t16_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r2_relset_1(A,A,k3_relset_1(A,A,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B))),k3_subset_1(k2_zfmisc_1(A,A),B)) ) ) )).
fof(t16_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_prelamb(A,k12_finseq_1(u1_struct_0(A),B),C) => ( r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,B,D)),k2_prelamb(A,C,D)) & r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k1_prelamb(A,D,B)),k1_prelamb(A,D,C)) ) ) ) ) ) ) )).
fof(t16_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) => r1_xxreal_0(k2_xcmplx_0(1,k3_xcmplx_0(B,A)),k1_newton(k2_xcmplx_0(1,A),B)) ) ) ) )).
fof(t16_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ~ v1_xboole_0(B) & v2_finsub_1(B) & v1_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(t16_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m2_prob_1(D,A,B) => k3_funct_2(B,k1_numbers,D,C) = k6_xcmplx_0(1,k3_funct_2(B,k1_numbers,D,k7_prob_1(A,B,k4_prob_1(A,B),C))) ) ) ) ) )).
fof(t16_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(C)))) ) => ( r2_hidden(B,k1_prob_2(C,k9_setfam_1(C),k3_prob_3(C,D),A)) <=> ( r2_hidden(B,k1_prob_2(C,k9_setfam_1(C),D,A)) & ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(A,E) & r2_hidden(B,k1_prob_2(C,k9_setfam_1(C),D,E)) ) ) ) ) ) ) )).
fof(t16_prob_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) => ( k1_prob_4(A,k9_setfam_1(A),k3_prob_3(A,B),k5_numbers) = k1_prob_4(A,k9_setfam_1(A),B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => k1_prob_4(A,k9_setfam_1(A),k3_prob_3(A,B),k1_nat_1(C,1)) = k3_measure1(A,k9_setfam_1(A),k1_prob_4(A,k9_setfam_1(A),B,k1_nat_1(C,1)),k1_prob_2(A,k9_setfam_1(A),B,C)) ) ) ) ) )).
fof(t16_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k6_cqc_lang(A,k8_cqc_lang(A,B,k6_cqc_lang(A,C))),k7_cqc_lang(A,B,C)),k4_cqc_the1(A)) ) ) ) )).
fof(t16_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r1_projdes1(A,B,D,F,H) & r1_projdes1(A,B,D,F,I) & r1_projdes1(A,B,D,F,J) & r1_projdes1(A,C,E,G,H) & r1_projdes1(A,C,E,G,I) & r1_projdes1(A,C,E,G,J) ) => ( r1_collsp(A,B,D,F) | r1_collsp(A,C,E,G) | r1_projdes1(A,B,D,F,C) | r1_collsp(A,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_projpl_1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( B != C => ( r1_incsp_1(A,B,k1_projpl_1(A,B,C)) & r1_incsp_1(A,C,k1_projpl_1(A,B,C)) & k1_projpl_1(A,B,C) = k1_projpl_1(A,C,B) & ( ( r1_incsp_1(A,B,D) & r1_incsp_1(A,C,D) ) => D = k1_projpl_1(A,B,C) ) ) ) ) ) ) ) )).
fof(t16_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v8_incproj(A) & l1_incsp_1(A) ) => ? [B] : ( m1_subset_1(B,u1_incsp_1(A)) & ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u2_incsp_1(A)) & r1_incsp_1(A,B,F) & r1_incsp_1(A,C,F) & r1_incsp_1(A,D,F) & r1_incsp_1(A,E,F) & r2_zfmisc_1(B,C,D,E) ) ) ) ) ) ) )).
fof(t16_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,F),L) & r1_incsp_1(A,E,M) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,E),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,H),O) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,G),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,E,F),I) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,F,G),J) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,E,G),K) ) => ( r1_incsp_1(A,B,L) | r1_incsp_1(A,B,N) | r1_incsp_1(A,C,N) | r1_incsp_1(A,C,P) | r1_projred2(A,L,M,N) | r1_projred2(A,M,N,O) | L = P | P = N | B = C | ( H != B & H != C & ~ r1_incsp_1(A,H,L) & ~ r1_incsp_1(A,H,P) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A),k4_card_3(A)),k4_card_3(A)))) ) => ( ! [D] : ( m1_subset_1(D,k4_card_3(A)) => ! [E] : ( m1_subset_1(E,k4_card_3(A)) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k4_finseq_1(A)) => k8_prvect_1(A,k4_binop_1(k4_card_3(A),B,D,E),F) = k8_prvect_1(A,k4_binop_1(k4_card_3(A),C,D,E),F) ) ) ) => r8_binop_1(k4_card_3(A),k4_card_3(A),k4_card_3(A),B,C) ) ) ) ) )).
fof(t16_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A)))))) & v2_funct_1(B) & v2_funct_2(B,u1_struct_0(k14_prvect_2(k9_finseq_1(A)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,C) = k12_finseq_1(u1_struct_0(A),C) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,k3_rlvect_1(A,C,D)) = k3_rlvect_1(k14_prvect_2(k9_finseq_1(A)),k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,D)) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_numbers) => k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,k1_rlvect_1(A,C,D)) = k1_rlvect_1(k14_prvect_2(k9_finseq_1(A)),k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,C),D) ) ) & k4_struct_0(k14_prvect_2(k9_finseq_1(A))) = k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,k4_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_normsp_0(k14_prvect_2(k9_finseq_1(A)),k3_funct_2(u1_struct_0(A),u1_struct_0(k14_prvect_2(k9_finseq_1(A))),B,C)) = k2_normsp_0(A,C) ) ) ) )).
fof(t16_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v2_compts_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & v1_pscomp_1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r1_tarski(B,C) => r1_xxreal_0(k1_pscomp_1(k1_pre_topc(A,C),k3_pscomp_1(A,D,C)),k1_pscomp_1(k1_pre_topc(A,B),k3_pscomp_1(A,D,B))) ) ) ) ) ) )).
fof(t16_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => ( r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,B,k5_numbers),B) & r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,B,1),k7_pua2mss1(A,B)) ) ) ) )).
fof(t16_pythtrip,axiom,( ~ v1_finset_1(a_0_0_pythtrip) )).
fof(t16_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,k1_pzfmisc1(A,B),k2_pzfmisc1(A,B,C)) & r2_pboole(A,k1_pzfmisc1(A,C),k2_pzfmisc1(A,B,C)) ) ) ) )).
fof(t16_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ~ ( v5_qc_lang1(B,A) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,B)),k3_finseq_1(k11_qc_lang1(A,k22_qc_lang1(A,B)))) ) ) ) )).
fof(t16_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ( k6_qc_lang2(A,B,C,E) = k15_qc_lang1(A,D,F) => ( B = D & k15_qc_lang1(A,C,E) = F ) ) ) ) ) ) ) ) )).
fof(t16_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k24_qc_lang1(A,k2_qc_lang2(A,B,C)) = k4_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,B),k24_qc_lang1(A,C)) ) ) ) )).
fof(t16_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ( r2_xboole_0(C,D) => r3_qc_lang2(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),D),k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C)) ) ) ) ) ) )).
fof(t16_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k16_substut1(A),k38_substut1(A)) => ! [D] : ( m2_subset_1(D,k16_substut1(B),k38_substut1(B)) => ( ( v5_qc_lang1(k2_sublemma(A,C),A) & v5_qc_lang1(k2_sublemma(B,D),B) & k21_qc_lang1(A,k2_sublemma(A,C)) = k21_qc_lang1(B,k2_sublemma(B,D)) & k22_qc_lang1(A,k2_sublemma(A,C)) = k22_qc_lang1(B,k2_sublemma(B,D)) & C = D ) => k35_substut1(A,k32_substut1(A,C)) = k35_substut1(B,k32_substut1(B,D)) ) ) ) ) ) )).
fof(t16_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v18_quantal1(B,A) => ( r3_lattices(A,C,k1_quantal1(A,k1_quantal1(A,C,B),B)) & r3_lattices(A,C,k2_quantal1(A,k2_quantal1(A,C,B),B)) ) ) ) ) ) )).
fof(t16_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => k22_quaterni(k22_quaterni(A,B),C) = k22_quaterni(A,k22_quaterni(B,C)) ) ) ) )).
fof(t16_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k26_quaterni(k22_quaterni(A,B)) = k22_quaterni(k26_quaterni(B),k26_quaterni(A)) ) ) )).
fof(t16_quaterni,axiom,( k9_quaterni(k1_xcmplx_0,k10_quaterni) = k11_quaterni )).
fof(t16_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k5_numbers,k1_quin_1(B,C,D)) => ( B = k5_numbers | k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D) = k3_xcmplx_0(k3_xcmplx_0(B,k6_xcmplx_0(A,k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B)))),k6_xcmplx_0(A,k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B)))) ) ) ) ) ) ) )).
fof(t16_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k9_quofield(A,B,k8_quofield(A,C,D)) = k8_quofield(A,k9_quofield(A,B,C),k9_quofield(A,B,D)) ) ) ) ) )).
fof(t16_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,C) & m2_finseq_1(D,k3_radix_1(B)) ) => ( r2_tarski(A,k2_finseq_1(C)) => m2_subset_1(k4_radix_1(A,B,C,D),k4_numbers,k3_radix_1(B)) ) ) ) ) ) )).
fof(t16_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => k5_radix_3(k5_numbers,A) = k5_numbers ) )).
fof(t16_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_finseq_1(A)) => k2_xcmplx_0(k4_radix_1(D,C,A,k4_radix_5(A,B,C)),k4_radix_1(D,C,A,k2_radix_5(A,B,C))) = k5_numbers ) ) ) ) ) ) )).
fof(t16_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ~ ( r1_xxreal_0(2,B) & ~ ( r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,C)) & r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A,2),B,C),k8_radix_1(k2_xcmplx_0(A,2),B,k4_radix_6(A,B,C))) ) & ~ ( r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A,2),B,k6_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,C)) & ~ r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,C)) ) ) ) ) ) )).
fof(t16_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(2,B) & r1_xxreal_0(2,A) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k4_newton(k7_nat_d(B,1),k7_nat_d(k2_xcmplx_0(B,A),2))) & r1_xxreal_0(2,C) & ! [D] : ( v1_finset_1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_group_10(D,2),k2_finseq_1(2)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_group_10(D,2),k2_finseq_1(2)))) ) => ~ ( r1_xxreal_0(C,k4_card_1(D)) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(D)) => ( ~ ( r1_xxreal_0(B,k4_card_1(F)) & k10_xtuple_0(k2_partfun1(k3_group_10(D,2),k2_finseq_1(2),E,k3_group_10(F,2))) = k1_tarski(1) ) & ~ ( r1_xxreal_0(A,k4_card_1(F)) & k10_xtuple_0(k2_partfun1(k3_group_10(D,2),k2_finseq_1(2),E,k3_group_10(F,2))) = k1_tarski(2) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ~ ( v3_prob_1(B) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k8_nat_1(k9_setfam_1(A),B,C) != k8_nat_1(k9_setfam_1(A),B,D) ) ) ) ) ) )).
fof(t16_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(A)) ) => ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(B)) ) => k12_supinf_2(k2_random_2(A,B,C,D),k2_zfmisc_1(E,F)) = k1_extreal1(k12_supinf_2(C,E),k12_supinf_2(D,F)) ) ) ) ) ) ) )).
fof(t16_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ( v1_funct_1(B) & v1_funct_2(B,k2_finseq_1(k3_finseq_1(B)),A) & v1_random_3(B,k2_finseq_1(k3_finseq_1(B)),A,k1_random_1(k2_finseq_1(k3_finseq_1(B))),k1_random_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(B)),A))) ) ) ) )).
fof(t16_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => k1_vectsp_9(A,k1_vectsp_4(A,B)) = k5_numbers ) ) )).
fof(t16_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( A != k5_numbers => k1_rat_1(A) = k7_xcmplx_0(k2_rat_1(A),A) ) ) )).
fof(t16_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ratfunc1(A,B,C,D) => r1_polynom5(A,k8_polynom3(A,B,C),D) ) ) ) ) ) )).
fof(t16_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_rcomp_1(B,A) => r2_hidden(A,B) ) ) )).
fof(t16_rcomp_3,axiom,( ! [A] : ( ( v5_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ~ r2_hidden(k2_seq_4(A),A) => r1_tarski(A,k3_rcomp_1(k3_seq_4(A),k2_seq_4(A))) ) ) )).
fof(t16_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k8_nat_1(k4_ordinal1,k2_real_3(C,B),k1_nat_1(A,1)) = k5_numbers => k8_nat_1(k4_ordinal1,k1_real_3(C,B),A) = k5_numbers ) ) ) ) )).
fof(t16_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,k1_funcsdom(A,k1_numbers,k4_real_lat(A),B,C)),B) ) ) ) )).
fof(t16_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_real_ns1(A))))) ) => ( r1_funct_2(k4_ordinal1,u1_struct_0(k4_real_ns1(A)),k4_ordinal1,u1_struct_0(k7_real_ns1(A)),B,C) => ( ( v3_normsp_1(B,k4_real_ns1(A)) => ( v1_bhsp_2(C,k7_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A),B) = k1_bhsp_2(k7_real_ns1(A),C) ) ) & ( v1_bhsp_2(C,k7_real_ns1(A)) => ( v3_normsp_1(B,k4_real_ns1(A)) & k5_normsp_1(k4_real_ns1(A),B) = k1_bhsp_2(k7_real_ns1(A),C) ) ) ) ) ) ) ) )).
fof(t16_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k8_group_1(A,k5_struct_0(A),k4_struct_0(A)) = k4_struct_0(A) ) )).
fof(t16_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_rlvect_1(A,B,C) = D <=> k4_binop_1(u1_struct_0(A),k1_realset3(A),D,B) = C ) ) ) ) ) )).
fof(t16_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k1_rvsum_1(k3_rearran1(B,A,D,C)) = k1_rvsum_1(k20_rfunct_3(B,C,B)) ) ) ) ) ) )).
fof(t16_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_tarski(A,B) => r1_tarski(k1_relat_1(A),k1_relat_1(B)) ) ) ) )).
fof(t16_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( r1_tarski(k4_relat_1(A),C) => ( A = k1_relset_1(A,C) & r1_tarski(A,k2_relset_1(B,C)) ) ) ) )).
fof(t16_relset_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => m1_subset_1(a_2_0_relset_2(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(t16_revrot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_finseq_6(B,A) & m2_finseq_1(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ( ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,1) & ~ r1_xxreal_0(k3_finseq_1(B),D) & k7_partfun1(A,B,D) = k7_partfun1(A,B,1) ) ) => k1_finseq_6(A,k1_finseq_6(A,B,C),k7_partfun1(A,B,1)) = B ) ) ) ) )).
fof(t16_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ! [D] : ( ( r1_rewrite1(A,B,C) & r1_rewrite1(A,C,D) ) => r1_rewrite1(A,B,D) ) ) )).
fof(t16_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( ( v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & r1_rewrite2(A,B,C,D) ) => r1_rewrite2(A,B,D,C) ) ) ) ) )).
fof(t16_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( l1_rewrite3(F,D) => ! [G] : ( l1_rewrite3(G,E) => ( ( u1_rewrite3(D,F) = u1_rewrite3(E,G) & r1_rewrite3(D,F,A,B,C) ) => r1_rewrite3(E,G,A,B,C) ) ) ) )).
fof(t16_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( k3_finseq_1(A) != k5_numbers => k18_rvsum_1(k3_rfinseq(A)) = k1_funct_1(A,1) ) ) )).
fof(t16_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers | k3_finseq_1(A) = 1 ) => v7_valued_0(A) ) ) )).
fof(t16_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( v1_xcmplx_0(C) => k24_valued_1(k1_valued_1(A,B),C) = k1_valued_1(k24_valued_1(A,C),k24_valued_1(B,C)) ) ) ) )).
fof(t16_rfunct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( r1_tarski(k2_relset_1(B,D),k1_relset_1(B,k2_partfun1(B,k1_numbers,C,A))) & k8_relset_1(B,k1_numbers,C,k1_seq_4(k5_numbers)) = k1_xboole_0 ) => r2_relset_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,B,D,k2_partfun1(B,k1_numbers,k6_rfunct_1(B,k1_numbers,C),A)),k37_valued_1(k4_ordinal1,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,B,D,k2_partfun1(B,k1_numbers,C,A)))) ) ) ) ) )).
fof(t16_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r3_binop_1(k3_rfunct_3(A,k1_numbers),k7_funcop_1(k2_subset_1(A),k5_numbers),k13_rfunct_3(A)) ) )).
fof(t16_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r2_rfunct_3(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(E,B) ) => ( r1_xxreal_0(E,C) | r1_xxreal_0(D,E) | ( r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,E),k1_funct_1(A,C)),k6_xcmplx_0(E,C)),k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),k6_xcmplx_0(D,C))) & r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),k6_xcmplx_0(D,C)),k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,E)),k6_xcmplx_0(D,E))) ) ) ) ) ) ) ) ) ) )).
fof(t16_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_seq_2(A) & v1_seq_2(B) ) => r1_xxreal_0(k1_rinfsup1(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)),k2_xcmplx_0(k1_rinfsup1(A),k1_rinfsup1(B))) ) ) ) )).
fof(t16_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_subset_1(B,u1_struct_0(A)) <=> ~ v6_struct_0(k2_ring_1(A,B)) ) ) ) )).
fof(t16_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ? [B] : ( r2_hidden(B,A) & r2_ringcat1(B,k18_mod_2) ) ) )).
fof(t16_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_rlvect_2(A,k1_rlaffin1(A,B,C)) = k5_rusub_4(A,k3_rlvect_2(A,B),C) ) ) ) )).
fof(t16_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(B) => r2_tarski(k1_funct_1(k2_rlaffin2(A),B),k3_convex1(A,B)) ) ) ) )).
fof(t16_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ! [D] : ( m2_rlaffin3(D,A,B) => k3_finseq_1(k1_rlaffin3(A,B,D,C)) = k4_card_1(B) ) ) ) )).
fof(t16_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rlsub_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( ( E = C & F = B ) => k5_algstr_0(D,E,F) = k5_algstr_0(A,C,B) ) ) ) ) ) ) ) )).
fof(t16_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ( m1_rlsub_1(k2_rlsub_2(A,B,C),B) & m1_rlsub_1(k2_rlsub_2(A,B,C),C) ) ) ) ) )).
fof(t16_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_connsp_2(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,D) => m1_connsp_2(D,A,B) ) ) ) ) ) )).
fof(t16_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_algstr_0(A,B) = k1_rlvect_1(A,B,k4_xcmplx_0(1)) ) ) )).
fof(t16_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_rlvect_2(A,k7_subset_1(u1_struct_0(A),C,B)) = k5_algstr_0(A,k2_rlvect_2(A,C),k2_rlvect_2(A,k9_subset_1(u1_struct_0(A),C,B))) ) ) ) )).
fof(t16_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k1_rlvect_3(A,k1_subset_1(u1_struct_0(A))) = k1_rlsub_1(A) ) )).
fof(t16_rlvect_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r2_tarski(A,k3_rlsub_1(B,C,k1_rlvect_3(B,k8_domain_1(u1_struct_0(B),D,E,F)))) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & A = k3_rlvect_1(B,k3_rlvect_1(B,k3_rlvect_1(B,C,k1_rlvect_1(B,D,G)),k1_rlvect_1(B,E,H)),k1_rlvect_1(B,F,I)) ) ) ) ) ) ) ) ) ) )).
fof(t16_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlvect_3(C,B) => ? [D] : ( m1_rlvect_3(D,A) & r1_tarski(C,D) ) ) ) ) )).
fof(t16_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r2_tarski(A,k2_rlvect_x(B,k6_domain_1(u1_struct_0(B),C))) <=> ? [D] : ( v1_int_1(D) & A = k1_rlvect_1(B,C,D) ) ) ) ) )).
fof(t16_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_rmod_2(E,A,B) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( ( F = D & G = C ) => k5_algstr_0(E,F,G) = k5_algstr_0(B,D,C) ) ) ) ) ) ) ) ) )).
fof(t16_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ( m1_rmod_2(k2_rmod_3(A,B,C,D),A,C) & m1_rmod_2(k2_rmod_3(A,B,C,D),A,D) ) ) ) ) ) )).
fof(t16_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ! [D] : ( m1_rmod_4(D,A,B) => ( r2_tarski(C,k2_rmod_4(A,B,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = E & k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) != k4_struct_0(A) ) ) ) ) ) )).
fof(t16_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_robbins1(A,B,k6_robbins1(A,C,D)) = k6_robbins1(A,k6_robbins1(A,B,C),D) ) ) ) ) )).
fof(t16_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),D)))),D)) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),D)) ) ) ) ) )).
fof(t16_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_lattices(B) ) => ( g2_lattices(u1_struct_0(A),u2_lattices(A)) = g2_lattices(u1_struct_0(B),u2_lattices(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => k1_lattices(A,C,D) = k1_lattices(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t16_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_robbins4)) => ( ( A = k6_subset_1(3,2) & B = 1 ) => ( k13_lattice3(k1_robbins4,A,B) = 3 & k12_lattice3(k1_robbins4,A,B) = k5_numbers ) ) ) ) )).
fof(t16_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v4_roughs_1(B,A) <=> k4_roughs_1(A,B) = B ) ) ) )).
fof(t16_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A,k3_subset_1(u1_struct_0(A),B)) = k3_subset_1(u1_struct_0(A),k4_roughs_1(A,B)) ) ) )).
fof(t16_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_isomichi(B,A) <=> r2_xboole_0(k3_roughs_1(A,B),k4_roughs_1(A,B)) ) ) ) )).
fof(t16_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_xboole_0(B,C) => k1_rpr_1(A,k9_subset_1(A,B,C)) = k5_numbers ) ) ) ) )).
fof(t16_rsspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_numbers ) => ( v1_series_1(A) & k4_series_1(A) = k5_numbers ) ) ) )).
fof(t16_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_rsspace4(A,B))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & v1_rsspace4(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( D = C => ! [E] : ( m1_subset_1(E,A) => r1_xxreal_0(k2_normsp_0(B,k3_funct_2(A,u1_struct_0(B),D,E)),k2_normsp_0(k9_rsspace4(A,B),C)) ) ) ) ) ) ) )).
fof(t16_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_struct_0(B,C) => r1_struct_0(B,k4_algstr_0(A,C)) ) ) ) ) )).
fof(t16_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( m1_rusub_1(k2_rusub_2(A,B,C),B) & m1_rusub_1(k2_rusub_2(A,B,C),C) ) ) ) ) )).
fof(t16_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ~ ( r1_tarski(k10_xtuple_0(D),u1_struct_0(k1_rusub_3(A,C))) & ! [E] : ( m2_rlvect_2(E,A,C) => k4_rlvect_1(A,k5_rlvect_2(A,D,B)) != k6_rlvect_2(A,E) ) ) ) ) ) ) )).
fof(t16_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => r1_xxreal_0(k6_xcmplx_0(k1_nat_1(k1_rusub_4(B),k1_rusub_4(C)),k1_rusub_4(A)),k1_rusub_4(k2_rusub_2(A,B,C))) ) ) ) )).
fof(t16_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( ( ~ v1_xboole_0(D) & v2_rusub_4(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( D = k1_rusub_5(A,B,k6_domain_1(u1_struct_0(A),C)) & r1_rusub_5(A,B,D) & v3_rusub_4(D,A) ) ) ) ) ) ) )).
fof(t16_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => k4_rvsum_1(B,k2_finseq_2(A,k5_numbers)) = B ) ) )).
fof(t16_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k5_rvsum_2(k7_rvsum_2(A,B)) = k7_rvsum_2(B,A) ) ) )).
fof(t16_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => r1_tarski(k3_rvsum_3(A),k4_finseq_1(A)) ) )).
fof(t16_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k3_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1))),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),k10_ami_3(k5_numbers)) = k2_xcmplx_0(B,C) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ( E != k10_ami_3(k5_numbers) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(t16_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v2_scm_halt(C) ) => ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_tarski(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1)),A) & r1_tarski(k2_scmfsa6a(C,D),B) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_funct_4(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),E),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))),E)),k4_card_1(C)))),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,k1_nat_1(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A),1),E))) ) ) ) ) ) ) ) )).
fof(t16_scmfsa10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k2_compos_0(k13_scmfsa_2(A,B)) = k9_finseq_1(A) ) ) )).
fof(t16_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => r1_tarski(k1_scmfsa6a(A),k2_scmfsa6a(A,B)) ) ) )).
fof(t16_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),A,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),A,E)) ) ) ) ) ) ) ) )).
fof(t16_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_scmfsa_2(C) => ~ ( A != B & r3_scmfsa7b(k16_scmfsa_2(B,C),A) ) ) ) ) )).
fof(t16_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => ( ( k1_funct_1(A,B) = k2_compos_1(k1_scmfsa_2) => k1_funct_1(k1_scmfsa6a(A),B) = k11_scmfsa_2(k4_card_1(A)) ) & ( k1_funct_1(A,B) != k2_compos_1(k1_scmfsa_2) => k1_funct_1(k1_scmfsa6a(A),B) = k1_funct_1(A,B) ) ) ) ) )).
fof(t16_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) ) => ( r5_scmfsa7b(C,k1_scmfsa_m(E),A) => ( k1_funct_1(E,D) = k5_numbers | r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k1_scmfsa8b(D,B,C),E,A),k1_funct_4(k1_scmfsa6b(C,E,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),3)))) ) ) ) ) ) ) ) )).
fof(t16_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( r1_tarski(E,A) => ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(k6_compos_1(k1_scmfsa_2,E,F),B) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,D) = F & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) ) => ! [G] : ( v7_ordinal1(G) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(D,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ( r1_tarski(k3_scmfsa_x(B,C),A) => ( k1_funct_1(D,B) = k5_numbers | ( k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D) = 3 & ! [E] : ( v7_ordinal1(E) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,D,E)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) ) ) ) ) ) ) ) ) )).
fof(t16_scmfsa_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => r1_xxreal_0(k5_compos_0(u1_compos_1(k1_scmfsa_2),A),12) ) )).
fof(t16_scmfsa_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(3),k1_scmfsa_2,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_scmfsa_2)) ) => ! [I] : ( m1_scmfsa_2(I) => ( ( k3_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G)) = k17_scmfsa_2(H,I) & r2_tarski(I,k9_xtuple_0(B)) ) => ! [J] : ( v7_ordinal1(J) => ! [K] : ( v7_ordinal1(K) => ( ( J = k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,E,C,G),H)) & K = k1_int_2(k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,G),H)) ) => k5_finseq_2(k4_ordinal1,J,k5_numbers) = k5_finseq_2(k4_ordinal1,K,k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k3_scmfsa_2)) ) => ~ r2_tarski(k3_scmfsa_m(A),A) ) )).
fof(t16_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k4_scmfsa_x(A,B),k1_nat_1(k4_card_1(B),4)) = k2_compos_1(k1_scmfsa_2) ) ) )).
fof(t16_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k7_scmpds_2(C,A,B)) = 4 ) ) ) )).
fof(t16_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(D) & v4_extpro_1(D,k5_card_1(2),k1_scmpds_2,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_tarski(D,E) & r1_tarski(D,F) & r1_tarski(C,A) & r1_tarski(C,B) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ! [J] : ( v1_int_1(J) => ! [K] : ( v1_int_1(K) => ( ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) = k8_scmpds_2(I,J,K) & H = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(H,K)) ) => ( K = 1 | ( ~ ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),I),J)),k5_numbers) & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),I),J)),k5_numbers) ) & ~ ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),I),J)),k5_numbers) & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),I),J)),k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k1_scmpds_4(k4_scmpds_4(A,B),C) = k2_scmpds_4(A,k2_scmpds_4(B,C)) ) ) ) )).
fof(t16_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_scmpds_4(D) ) => ( ( r1_tarski(k10_compos_1(k1_scmpds_2,D),A) & r1_tarski(k10_compos_1(k1_scmpds_2,D),B) ) => ! [E] : ( v7_ordinal1(E) => ( k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,C,E) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,C,E)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,C,E)) ) ) ) ) ) ) ) )).
fof(t16_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k7_scmpds_2(A,B,C) != k2_compos_1(k1_scmpds_2) ) ) ) )).
fof(t16_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_scmpds_4(E) ) => ( ( r1_tarski(k10_compos_1(k1_scmpds_2,E),B) & r1_scmpds_6(E,D,B) & r2_scmpds_6(E,D,B) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(k61_valued_1(E,F),C) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) = F & k6_memstr_0(k5_card_1(2),k1_scmpds_2,D) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,A) ) => ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D),G) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,G)),F) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,G)) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,B,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,G)) = k3_extpro_1(k5_card_1(2),k1_scmpds_2,C,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,G)) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,G)) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,u1_struct_0(k1_scmpds_2)) & v1_funct_1(G) & v5_funct_1(G,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(G,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(G,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k4_ordinal1) & v5_relat_1(H,u1_compos_1(k1_scmpds_2)) & v1_funct_1(H) & v1_partfun1(H,k4_ordinal1) ) => ( ( ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,F) => k1_funct_1(G,I) = k1_funct_1(B,I) ) ) & k1_funct_1(G,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(G,k2_scmpds_2(k1_funct_1(B,D),E))) | ( k1_funct_1(k6_scmpds_4(C,G,H),D) = k1_funct_1(G,D) & ~ r1_xxreal_0(k1_funct_1(k6_scmpds_4(C,G,H),k2_scmpds_2(k1_funct_1(B,D),E)),k1_funct_1(G,k2_scmpds_2(k1_funct_1(B,D),E))) & r1_scmpds_6(C,G,H) & r2_scmpds_6(C,G,H) & ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(I,F) => k1_funct_1(k6_scmpds_4(C,G,H),I) = k1_funct_1(G,I) ) ) ) ) ) ) ) => ( r1_xxreal_0(k5_numbers,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))) | k6_scmpds_4(k1_scmpds_8(D,E,C),B,A) = k6_scmpds_4(k1_scmpds_8(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) ) ) ) ) ) )).
fof(t16_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,B,k9_scmpds_2(A,C,D)) = k2_tarski(k1_nat_1(B,1),k1_int_2(k2_xcmplx_0(D,B))) ) ) ) ) )).
fof(t16_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmring2(A))) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(E,u1_struct_0(k1_scmring2(A))) ) => ( ( k2_scmring2(A,E,B) = k4_struct_0(A) => k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k9_scmring2(A,D,B),E),k4_struct_0(k1_scmring2(A))) = D ) & ( k2_scmring2(A,E,B) != k4_struct_0(A) => k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k9_scmring2(A,D,B),E),k4_struct_0(k1_scmring2(A))) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(A),E),1) ) & k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k9_scmring2(A,D,B),E),C) = k2_scmring2(A,E,C) ) ) ) ) ) ) )).
fof(t16_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = 4 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmring2(A))) ) => B != k6_scmring2(A,C,D) ) ) ) ) ) )).
fof(t16_scmyciel,axiom,( ! [A] : ( v1_finset_1(A) => k1_card_1(a_1_2_scmyciel(A)) = k2_nat_1(2,k4_card_1(k1_scmyciel(A))) ) )).
fof(t16_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) ) => ! [G] : ( v1_int_1(G) => ! [H] : ( v1_int_1(H) => ( ( k1_funct_1(B,D) = H & k1_funct_1(B,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(B,E),k1_funct_1(B,F)) & ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(I,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,k4_ordinal1) & v5_relat_1(J,u1_compos_1(k1_scmpds_2)) & v1_funct_1(J) & v1_partfun1(J,k4_ordinal1) ) => ( ( k1_funct_1(I,D) = H & k1_funct_1(I,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(I,E),k1_funct_1(I,F)) ) => ( r1_xxreal_0(k1_funct_1(I,E),k5_numbers) | r1_xxreal_0(k1_funct_1(I,F),k5_numbers) | k1_funct_1(I,E) = k1_funct_1(I,F) | ( k1_funct_1(k6_scmpds_4(C,I,J),D) = H & r1_scmpds_6(C,I,J) & r2_scmpds_6(C,I,J) & ( ~ r1_xxreal_0(k1_funct_1(I,E),k1_funct_1(I,F)) => ( k1_funct_1(k6_scmpds_4(C,I,J),E) = k6_xcmplx_0(k1_funct_1(I,E),k1_funct_1(I,F)) & k1_funct_1(k6_scmpds_4(C,I,J),F) = k1_funct_1(I,F) ) ) & ( r1_xxreal_0(k1_funct_1(I,E),k1_funct_1(I,F)) => ( k1_funct_1(k6_scmpds_4(C,I,J),F) = k6_xcmplx_0(k1_funct_1(I,F),k1_funct_1(I,E)) & k1_funct_1(k6_scmpds_4(C,I,J),E) = k1_funct_1(I,E) ) ) & k1_funct_1(k6_scmpds_4(C,I,J),k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(k6_scmpds_4(C,I,J),E),k1_funct_1(k6_scmpds_4(C,I,J),F)) ) ) ) ) ) ) => ( r1_xxreal_0(k4_card_1(C),k5_numbers) | r1_xxreal_0(k1_funct_1(B,E),k5_numbers) | r1_xxreal_0(k1_funct_1(B,F),k5_numbers) | ( r1_scmpds_6(k3_scpinvar(D,G,C),B,A) & r2_scmpds_6(k3_scpinvar(D,G,C),B,A) & ( k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),G)) != k5_numbers => k6_scmpds_4(k3_scpinvar(D,G,C),B,A) = k6_scmpds_4(k3_scpinvar(D,G,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(k2_xcmplx_0(7,k1_funct_1(B,k1_scmp_gcd(6))),k1_funct_1(B,k1_scmp_gcd(4))) & k1_funct_1(B,k2_scmp_gcd) = k5_numbers & F = k1_funct_1(B,k1_scmp_gcd(6)) & E = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(B,k1_scmp_gcd(4)),k1_funct_1(B,k1_scmp_gcd(6))),1) & r1_scpisort(C,B,E) & r1_scpisort(D,k6_scmpds_4(k2_scmpds_8(k2_scmp_gcd,6,k1_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k13_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k5_numbers)),k3_scmpds_6(k2_scmp_gcd,5,k3_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd,k1_scmp_gcd(4),5,k4_xcmplx_0(1)),k16_scmpds_2(k1_scmp_gcd(4),k1_scmp_gcd(4),k4_xcmplx_0(1),k5_numbers)),k16_scmpds_2(k1_scmp_gcd(4),k2_scmp_gcd,k5_numbers,5)),k11_scmpds_2(k2_scmp_gcd,4,k4_xcmplx_0(1))),k11_scmpds_2(k2_scmp_gcd,6,k4_xcmplx_0(1))),k9_compos_1(k1_scmpds_2,k10_scmpds_2(k2_scmp_gcd,6,k5_numbers))))),B,A),E) & k3_finseq_1(C) = k3_finseq_1(D) & r3_graph_2(C,1,F) ) => ( r1_xxreal_0(k3_finseq_1(C),F) | ( r2_classes1(C,D) & r3_graph_2(D,1,k1_nat_1(F,1)) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k3_finseq_1(C)) => ( r1_xxreal_0(G,k1_nat_1(F,1)) | k1_funct_1(C,G) = k1_funct_1(D,G) ) ) ) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k1_nat_1(F,1)) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k1_nat_1(F,1)) & k1_funct_1(D,G) = k1_funct_1(C,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( ~ r2_analoaf(A,B,C,B,D) & r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) & r2_analoaf(A,C,D,F,G) & E != F & r2_analoaf(A,E,F,E,G) ) ) ) ) ) ) ) ) )).
fof(t16_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)),k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,A),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,B))) ) ) ) )).
fof(t16_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( v2_comseq_2(A) & k1_seq_2(A) != k5_numbers & ! [B] : ( v7_ordinal1(B) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(B,C) & r1_xxreal_0(k9_complex1(k1_funct_1(A,C)),k7_xcmplx_0(k9_complex1(k1_seq_2(A)),2)) ) ) ) ) )).
fof(t16_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( m2_valued_0(B,k1_numbers,A) & v2_comseq_2(A) ) => v2_comseq_2(B) ) ) ) )).
fof(t16_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k5_seqfunc(A,k8_seqfunc(A,B,C)),k8_seqfunc(A,k5_seqfunc(A,B),k5_seqfunc(A,C))) ) ) ) )).
fof(t16_seqm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_valued_0(k1_numbers,k32_valued_1(k4_ordinal1,k1_numbers,B),A) = k32_valued_1(k4_ordinal1,k1_numbers,k1_valued_0(k1_numbers,B,A)) ) ) )).
fof(t16_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) => v7_valued_0(k3_series_1(A)) ) ) )).
fof(t16_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( k8_nat_1(k1_numbers,A,B) = k1_newton(k6_xcmplx_0(k3_xcmplx_0(2,B),1),3) & k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k3_xcmplx_0(k1_newton(B,2),k6_xcmplx_0(k3_xcmplx_0(2,k1_newton(B,2)),1)) ) ) ) ) )).
fof(t16_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(k1_power(3,k3_xcmplx_0(k3_xcmplx_0(A,B),C)),k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,B),C),3)) ) ) ) )).
fof(t16_series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(k2_xcmplx_0(k1_newton(k7_xcmplx_0(1,3),B),k1_newton(3,B)),2) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k1_newton(k7_xcmplx_0(1,9),B),8)),k7_xcmplx_0(k11_newton(9,k1_nat_1(B,1)),8)),k3_xcmplx_0(2,B)),3) ) ) ) )).
fof(t16_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ~ r1_xxreal_0(2,k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(A,k2_xcmplx_0(k2_xcmplx_0(A,B),D)),k7_xcmplx_0(B,k2_xcmplx_0(k2_xcmplx_0(A,B),C))),k7_xcmplx_0(C,k2_xcmplx_0(k2_xcmplx_0(B,C),D))),k7_xcmplx_0(D,k2_xcmplx_0(k2_xcmplx_0(A,C),D)))) ) ) ) ) )).
fof(t16_setfam_1,axiom,( ! [A] : ( r1_setfam_1(A,k1_xboole_0) => A = k1_xboole_0 ) )).
fof(t16_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k3_tarski(a_3_3_setlim_1(A,B,D)) ) ) => ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) ) ) ) )).
fof(t16_setlim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => k7_nat_1(k9_setfam_1(B),k5_setlim_2(B,D,C),A) = k5_setlim_2(B,k7_nat_1(k9_setfam_1(B),D,A),C) ) ) ) )).
fof(t16_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v3_binop_1(C,B) & v1_binop_1(C,B) & v2_binop_1(C,B) ) => ( ( D = k1_xboole_0 & ~ v1_setwiseo(C,B) ) | ! [F] : ( m1_subset_1(F,B) => ( F = k7_setwiseo(A,B,C,D,E) <=> ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k5_finsub_1(A),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k5_finsub_1(A),B))) & F = k3_funct_2(k5_finsub_1(A),B,G,D) & ! [H] : ( m1_subset_1(H,B) => ( r3_binop_1(B,H,C) => k1_funct_1(G,k1_xboole_0) = H ) ) & ! [H] : ( m1_subset_1(H,A) => k1_funct_1(G,k1_tarski(H)) = k3_funct_2(A,B,E,H) ) & ! [H] : ( m1_subset_1(H,k5_finsub_1(A)) => ( r1_tarski(H,D) => ( H = k1_xboole_0 | ! [I] : ( m1_subset_1(I,A) => ( r2_tarski(I,D) => k1_funct_1(G,k2_xboole_0(H,k1_tarski(I))) = k4_binop_1(B,C,k3_funct_2(k5_finsub_1(A),B,G,H),k3_funct_2(A,B,E,I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,C),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,B,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( v1_binop_1(E,B) & v2_binop_1(E,B) & v1_setwiseo(E,B) & v1_binop_1(G,C) & v2_binop_1(G,C) & v1_setwiseo(G,C) & k3_funct_2(B,C,H,k3_binop_1(B,E)) = k3_binop_1(C,G) & ! [I] : ( m1_subset_1(I,B) => ! [J] : ( m1_subset_1(J,B) => k3_funct_2(B,C,H,k4_binop_1(B,E,I,J)) = k4_binop_1(C,G,k3_funct_2(B,C,H,I),k3_funct_2(B,C,H,J)) ) ) ) => k3_funct_2(B,C,H,k7_setwiseo(A,B,E,D,F)) = k7_setwiseo(A,C,G,D,k1_partfun1(A,B,B,C,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(t16_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( ( C = k12_scmfsa_2(B,A) | C = k13_scmfsa_2(B,A) ) => k1_sf_mastr(C) = k4_scmfsa_m(A) ) ) ) ) )).
fof(t16_sfmastr1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v4_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_sfmastr1(C) & m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) | r5_scmfsa7b(D,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa_m(B)),A) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k3_scmfsa6a(C,D),B,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(D,k2_extpro_1(k5_card_1(3),k1_scmfsa_2,C,k1_scmfsa_m(B)),A)) ) ) ) ) ) )).
fof(t16_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( r1_sfmastr2(B,A,C,D) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_funct_1(A,C)) => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) )).
fof(t16_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 => ! [G] : ( ( v1_ami_2(G) & ~ v1_scmfsa_m(G) & m1_subset_1(G,u1_struct_0(k1_scmfsa_2)) ) => ( G = k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(E))) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(G,D),k8_scmfsa_2(G,C)),k7_scmfsa_2(G,k4_scmfsa_2(k5_numbers))),k6_scmfsa_2(B,C)),A,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_funct_7(k1_funct_7(A,G,k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),1)),B,k1_funct_1(A,C))) ) ) ) ) ) ) ) ) ) )).
fof(t16_sgraph1,axiom,( ! [A] : r2_tarski(g1_sgraph1(k1_xboole_0,k1_subset_1(k2_sgraph1(k1_xboole_0))),k3_sgraph1(A)) )).
fof(t16_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v7_robbins1(A) & l3_lattices(A) ) => v5_lattices(A) ) )).
fof(t16_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,D)) = B ) ) ) ) )).
fof(t16_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => k4_simplex0(A) = k5_setfam_1(u1_struct_0(A),u1_pre_topc(A)) ) )).
fof(t16_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( r1_tarski(k3_simplex1(A,B),k2_struct_0(B)) => k5_simplex1(k5_numbers,A,B) = B ) ) ) )).
fof(t16_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v4_matroid0(B) & v2_simplex2(B,A) & m1_simplex0(B,u1_struct_0(k15_euclid(A))) ) => ( r1_tarski(k3_simplex1(k15_euclid(A),B),k2_struct_0(B)) => r1_xxreal_0(k2_simplex2(A,k4_simplex1(k15_euclid(A),B)),k3_xcmplx_0(k7_xcmplx_0(k6_simplex0(B),k2_xcmplx_0(k6_simplex0(B),1)),k2_simplex2(A,B))) ) ) ) )).
fof(t16_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(A)),B)),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),B)) & r1_xxreal_0(k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),B),k4_series_1(k4_sin_cos(k9_complex1(A)))) & r1_xxreal_0(k9_complex1(k8_nat_1(k2_numbers,k10_comseq_3(k3_sin_cos(A)),B)),k4_series_1(k4_sin_cos(k9_complex1(A)))) ) ) ) )).
fof(t16_sin_cos2,axiom,( k1_funct_1(k1_sin_cos2,k5_numbers) = k5_numbers )).
fof(t16_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,k3_xcmplx_0(k7_complex1,A)) = k7_partfun1(k2_numbers,k4_sin_cos3,A) ) )).
fof(t16_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k6_xcmplx_0(k17_sin_cos(A),k17_sin_cos(B)) = k3_xcmplx_0(2,k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A,B),2)),k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A,B),2)))) ) ) )).
fof(t16_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k17_sin_cos(k3_xcmplx_0(3,A)) = k2_xcmplx_0(k4_xcmplx_0(k3_xcmplx_0(4,k1_newton(k17_sin_cos(A),3))),k3_xcmplx_0(3,k17_sin_cos(A))) ) )).
fof(t16_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A) & r1_xxreal_0(A,k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) ) => r1_xxreal_0(k5_numbers,k17_sin_cos(A)) ) ) ) )).
fof(t16_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(1,k1_square_1(A)) ) ) )).
fof(t16_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k6_xcmplx_0(A,B) != k5_numbers => k7_xcmplx_0(k2_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)),k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) = k7_xcmplx_0(k6_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)),k6_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B))) ) ) ) )).
fof(t16_sin_cos9,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k16_sin_cos,A) != k5_numbers => k1_funct_1(k27_sin_cos,A) = k2_sin_cos4(A) ) ) )).
fof(t16_sincos10,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k2_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t16_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(A) = k17_euclid(B) <=> v2_sppol_1(k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) )).
fof(t16_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => r1_tarski(k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))),k3_topreal1(2,A)) ) ) ) )).
fof(t16_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_sppol_1(A) <=> k9_pscomp_1(A) = k7_pscomp_1(A) ) ) )).
fof(t16_sprect_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => k4_finseq_1(k2_goboard1(A)) = k4_finseq_1(A) ) )).
fof(t16_sprect_3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)),k3_topreal1(2,A)) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)) ) => ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = B | ( k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)) != k17_euclid(B) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)) != k18_euclid(B) ) | v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)),k13_matrix_0(u1_struct_0(k15_euclid(2)),B),A)) ) ) ) ) )).
fof(t16_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t16_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k1_square_1(B),k1_square_1(A)) ) ) ) )).
fof(t16_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v3_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ~ ( v4_srings_1(B,A) & ! [C] : ( ( v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ~ m1_eqrel_1(C,A) ) ) ) )).
fof(t16_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_stacks_1(A,B,C) => r2_stacks_1(A,k7_stacks_1(A,B,D),k7_stacks_1(A,C,D)) ) ) ) ) ) )).
fof(t16_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k5_card_1(C),k5_card_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(C),k5_card_1(A)))) ) => ( ~ r1_xxreal_0(C,k5_numbers) => r1_xxreal_0(k3_nat_1(k1_stirl2_1(C,k5_card_1(A),D,k1_seq_4(B))),k6_xcmplx_0(C,1)) ) ) ) ) ) )).
fof(t16_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ( k18_substut1(A,k20_substut1(A,B)) = k6_cqc_lang(A,k2_sublemma(A,B)) & k19_substut1(A,k20_substut1(A,B)) = k19_substut1(A,B) ) ) ) )).
fof(t16_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_tarski(B,k3_subset_1(A,C)) => r1_tarski(C,k3_subset_1(A,B)) ) ) ) )).
fof(t16_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ( m1_subset_1(E,k4_partfun1(A,B)) => ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( ( r2_tarski(E,C) & r2_tarski(F,D) & r1_partfun1(E,F) ) => r2_tarski(k2_xboole_0(E,F),k4_substlat(A,B,C,D)) ) ) ) ) ) )).
fof(t16_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => k27_substut1(A,k20_substut1(A,B)) = B ) ) )).
fof(t16_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => k2_substut2(A,k6_cqc_lang(A,B),C) = k5_sublemma(A,k2_substut2(A,B,C)) ) ) ) )).
fof(t16_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => r1_tarski(k9_supinf_2(A,k5_supinf_2(B,C),k13_supinf_2(A,B,C,D,E)),k5_supinf_2(k9_supinf_2(A,B,D),k9_supinf_2(A,C,E))) ) ) ) ) ) )).
fof(t16_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => k1_symsp_1(A,B,C,D,k3_rlvect_1(B,E,F)) = k3_rlvect_1(A,k1_symsp_1(A,B,C,D,E),k1_symsp_1(A,B,C,D,F)) ) ) ) ) ) ) ) )).
fof(t16_sysrel,axiom,( ! [A] : ! [B] : k6_subset_1(k4_relat_1(k6_subset_1(A,B)),k4_relat_1(A)) = k1_xboole_0 )).
fof(t16_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( v2_metric_1(B,A) & r1_xxreal_0(k5_numbers,C) ) => r1_relat_2(k1_taxonom1(A,B,C),A) ) ) ) ) )).
fof(t16_taxonom2,axiom,( ! [A] : ! [B] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) ) => ( v6_taxonom2(B,A) => ( r2_tarski(k1_xboole_0,B) | ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v4_taxonom2(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r2_tarski(C,D) & r1_tarski(D,B) & ! [E] : ( ( v4_taxonom2(E) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r2_tarski(C,E) & r1_tarski(E,B) & r1_tarski(D,E) ) => D = E ) ) ) => m1_eqrel_1(D,A) ) ) ) ) ) ) )).
fof(t16_taylor_1,axiom,( v2_funct_1(k22_sin_cos) & r2_fdiff_1(k22_sin_cos,k1_numbers) & r2_fdiff_1(k22_sin_cos,k2_subset_1(k1_numbers)) & ! [A] : ( v1_xreal_0(A) => k1_fdiff_1(k22_sin_cos,A) = k1_funct_1(k22_sin_cos,A) ) & ! [A] : ( v1_xreal_0(A) => ~ r1_xxreal_0(k1_fdiff_1(k22_sin_cos,A),k5_numbers) ) & k1_relset_1(k1_numbers,k22_sin_cos) = k2_subset_1(k1_numbers) & k2_relset_1(k1_numbers,k22_sin_cos) = k3_limfunc1(k5_numbers) )).
fof(t16_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(A,k5_numbers) => ( r2_funct_2(k4_ordinal1,k1_numbers,k1_taylor_2(k22_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B),k4_sin_cos(B)) & v2_series_1(k1_taylor_2(k22_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)) & k1_funct_1(k22_sin_cos,B) = k4_series_1(k1_taylor_2(k22_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)) ) ) ) ) )).
fof(t16_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_finset_1(B) => v6_tbsp_1(B,A) ) ) ) )).
fof(t16_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = C ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,D) => B = C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,D,E,F,G) ) => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,C,D,E) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) ) => r2_analoaf(A,C,D,F,G) ) ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_analoaf(A,B,D,D,C) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,C,D) & r2_analoaf(A,B,E,E,D) ) => C = E ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,B,D,C,E) ) ) ) ) ) ) <=> ( ~ v7_struct_0(A) & v2_tdgroup(A) & l1_analoaf(A) ) ) ) )).
fof(t16_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) => v4_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t16_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => k1_tdlat_2(A,B) = a_2_1_tdlat_2(A,B) ) ) )).
fof(t16_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v4_pre_topc(B,A) ) ) ) )).
fof(t16_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( r6_pboole(A,k1_termord(A,B,C,D),C) <=> r6_pboole(A,k2_termord(A,B,C,D),D) ) ) ) ) ) )).
fof(t16_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( k2_pre_topc(A,B) = B & k1_tops_1(A,B) = B ) ) ) )).
fof(t16_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( v1_tex_2(k1_tex_2(A,B),A) & v7_struct_0(A) ) ) ) )).
fof(t16_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => ( v2_tex_3(B,A) <=> v1_tops_3(C,A) ) ) ) ) ) )).
fof(t16_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_tex_4(B,A) & v3_pre_topc(B,A) ) => v3_tex_4(B,A) ) ) ) )).
fof(t16_tietze,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( ( k5_relat_1(C,B) = k5_relat_1(D,B) & r1_tietze(C,A,B) ) => ( ( ~ r1_tarski(B,k9_xtuple_0(C)) & ~ r1_tarski(k9_xtuple_0(D),k9_xtuple_0(C)) ) | r1_tietze(D,A,B) ) ) ) ) ) )).
fof(t16_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_borsuk_1(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,C,k2_finseq_2(A,E))),k1_pre_topc(k15_euclid(B),k3_tietze_2(B,D,k2_finseq_2(B,F))))),u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k3_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),k2_finseq_2(k2_xcmplx_0(A,B),1))))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,C,k2_finseq_2(A,E))),k1_pre_topc(k15_euclid(B),k3_tietze_2(B,D,k2_finseq_2(B,F))))),u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k3_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),k2_finseq_2(k2_xcmplx_0(A,B),1))))))) ) => ~ ( v3_tops_2(G,k2_borsuk_1(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,C,k2_finseq_2(A,E))),k1_pre_topc(k15_euclid(B),k3_tietze_2(B,D,k2_finseq_2(B,F)))),k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k3_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),k2_finseq_2(k2_xcmplx_0(A,B),1)))) & k7_relset_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,C,k2_finseq_2(A,E))),k1_pre_topc(k15_euclid(B),k3_tietze_2(B,D,k2_finseq_2(B,F))))),u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k3_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),k2_finseq_2(k2_xcmplx_0(A,B),1)))),G,k3_borsuk_1(k15_euclid(A),k15_euclid(B),k2_tietze_2(A,C,E),k2_tietze_2(B,D,F))) = k2_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1) ) ) ) ) ) ) ) ) ) )).
fof(t16_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( ( E = D & F = D ) => ! [G] : ( m1_connsp_2(G,B,E) => ! [H] : ( m1_connsp_2(H,C,F) => ? [I] : ( m1_connsp_2(I,k1_tsep_1(A,B,C),D) & r1_tarski(I,k2_xboole_0(G,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( r2_tarski(C,A) => m1_toler_1(k1_tarski(C),A,B) ) ) )).
fof(t16_topalg_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(D),u1_struct_0(k15_euclid(C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(k15_euclid(C))))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(k15_euclid(C))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(k15_euclid(C))))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(k15_euclid(C))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(k15_euclid(C))))) ) => ( ( v5_pre_topc(E,D,k15_euclid(C)) & v5_pre_topc(F,D,k15_euclid(C)) & ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => k3_funct_2(u1_struct_0(D),u1_struct_0(k15_euclid(C)),G,H) = k3_rlvect_1(k15_euclid(C),k1_rlvect_1(k15_euclid(C),k3_funct_2(u1_struct_0(D),u1_struct_0(k15_euclid(C)),E,H),A),k1_rlvect_1(k15_euclid(C),k3_funct_2(u1_struct_0(D),u1_struct_0(k15_euclid(C)),F,H),B)) ) ) => v5_pre_topc(G,D,k15_euclid(C)) ) ) ) ) ) ) ) ) )).
fof(t16_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_topmetr)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ! [C] : ( m1_borsuk_2(C,k5_topmetr,A,B) => ! [D] : ( m1_borsuk_2(D,k5_topmetr,A,B) => r4_borsuk_2(k5_topmetr,A,B,C,D) ) ) ) ) )).
fof(t16_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( v2_connsp_1(C,A) & v2_connsp_1(D,B) ) => v2_connsp_1(k3_borsuk_1(A,B,C,D),k2_borsuk_1(A,B)) ) ) ) ) ) )).
fof(t16_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r1_borsuk_6(A,C,D) & r1_borsuk_6(B,E,F) ) => ! [G] : ( m1_borsuk_2(G,A,C,D) => ! [H] : ( m1_borsuk_2(H,B,E,F) => m1_borsuk_2(k2_topalg_4(A,B,k5_topmetr,G,H),k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t16_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ? [B] : ( v1_cantor_1(B,A) & v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v2_connsp_1(C,A) ) ) ) => v1_connsp_2(A) ) ) )).
fof(t16_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,C,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_topalg_6(D,A,C) => v3_topalg_6(k2_topalg_3(A,B,C,D,E),B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,C)) ) ) ) ) ) ) )).
fof(t16_topdim_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_topdim_1(B) & l1_pre_topc(B) ) => ( r1_xxreal_0(k4_topdim_1(B),A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(C,D) & ! [E] : ( ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(C,E) & r1_tarski(E,D) & v1_topdim_1(k2_tops_1(B,E),B) & r1_xxreal_0(k2_topdim_1(B,k2_tops_1(B,E)),k6_xcmplx_0(A,1)) ) ) ) ) ) ) ) ) )).
fof(t16_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v5_waybel23(A) & v3_topdim_1(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & v5_waybel23(B) & v3_topdim_1(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( k4_topdim_1(B) = k5_numbers => k4_topdim_1(k2_borsuk_1(A,B)) = k4_topdim_1(A) ) ) ) )).
fof(t16_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r2_hidden(C,k2_topgen_1(A,B)) <=> r1_topgen_1(A,B,C) ) ) ) )).
fof(t16_topgen_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( ( v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_pre_topc(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A)))) ) => ( ( B = k2_relset_1(u1_pre_topc(A),D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,k1_funct_1(D,E)) & ! [F] : ( ( v3_pre_topc(F,A) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(E,F) => r1_tarski(k1_funct_1(D,E),F) ) ) ) ) ) => r1_tarski(B,C) ) ) ) ) ) )).
fof(t16_topgen_3,axiom,( k1_card_1(k4_numbers) = k4_ordinal1 )).
fof(t16_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( r1_tarski(B,C) & v1_prob_1(C,A) ) => r1_tarski(k7_setfam_1(A,B),C) ) ) ) )).
fof(t16_topgen_5,axiom,( k1_card_1(k1_topgen_5) = k3_topgen_3 )).
fof(t16_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_relset_1(u1_struct_0(A),u1_struct_0(A),k1_topgrp_1(A,C),B) = k4_group_2(A,C,B) ) ) ) )).
fof(t16_topmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v2_topmetr(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_topmetr(B,A) & m1_setfam_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(C,B) & m1_setfam_1(C,u1_struct_0(A)) & v1_finset_1(C) ) ) ) ) ) ) )).
fof(t16_topreal1,axiom,( k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) = k1_tarski(k19_euclid(1,k5_numbers)) )).
fof(t16_topreal3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ( D = k11_finseq_1(A,B,C) => k3_topreal1(2,D) = k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,B),k1_rltopsp1(k15_euclid(2),B,C)) ) ) ) ) ) )).
fof(t16_topreal4,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( ( v4_topreal1(A) & r2_tarski(C,k4_finseq_1(A)) & B = k17_finseq_1(u1_struct_0(k15_euclid(2)),C,A) ) => ( r1_xxreal_0(C,2) | ( v4_topreal1(B) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) & r1_topreal4(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C)) & r1_tarski(k3_topreal1(2,B),k3_topreal1(2,A)) & k3_topreal1(2,B) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,A)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C))) ) ) ) ) ) ) )).
fof(t16_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( v1_topreal2(A) & r1_xxreal_0(k7_pscomp_1(A),k9_pscomp_1(A)) ) ) )).
fof(t16_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k5_numbers,B) => r2_hidden(A,k1_rcomp_1(k6_xcmplx_0(A,B),k2_xcmplx_0(A,B))) ) ) ) )).
fof(t16_topreal7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( k3_finseq_1(B) = A => r2_tarski(B,u1_struct_0(k14_euclid(A))) ) ) ) )).
fof(t16_topreal8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,A) ) => ( k4_finseq_4(B,k7_partfun1(A,C,1)) = k3_finseq_1(B) => k2_finseq_5(A,k4_graph_2(A,B,C),k7_partfun1(A,C,1)) = C ) ) ) ) )).
fof(t16_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => r1_tarski(k1_topreal9(A,C,B),k2_topreal9(A,C,B)) ) ) ) )).
fof(t16_topreala,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_funct_1(C) & v2_funct_2(C,u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_t_0topsp(C,A,B) ) => v3_tops_2(C,A,B) ) ) ) ) )).
fof(t16_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) & k18_euclid(A) = 1 ) => k17_euclid(A) = k5_numbers ) ) )).
fof(t16_toprealc,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,B) & v1_finseq_1(D) & v3_valued_0(D) ) => k22_rvsum_1(D,k1_funct_7(k16_euclid(B),A,C)) = k3_xcmplx_0(k1_funct_1(D,A),C) ) ) ) )).
fof(t16_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k2_toprns_1(1,A,B) = B ) ) )).
fof(t16_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_tops_1(A,B),B) ) ) )).
fof(t16_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v2_tops_2(B,A) & v2_tops_2(C,A) ) => v2_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(t16_tops_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v1_tops_1(k2_struct_0(A),A) ) )).
fof(t16_tops_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_pcomps_1(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(B)),u1_struct_0(A)))) ) => ( v5_pre_topc(C,k3_pcomps_1(B),A) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(k1_funct_1(C,D),E) & ! [F] : ( ( v1_xreal_0(F) & v2_xxreal_0(F) ) => ~ r1_tarski(k7_relset_1(u1_struct_0(k3_pcomps_1(B)),u1_struct_0(A),C,k8_metric_1(B,D,F)),E) ) ) ) ) ) ) ) ) )).
fof(t16_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => r2_transgeo(A,k6_partfun1(A),B) ) ) )).
fof(t16_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ( r2_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(A,B)),k3_struct_0(k4_topmetr(A,B)),k1_partfun1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),k4_treal_1(A,B,k2_treal_1(k5_numbers,1),k1_treal_1(k5_numbers,1)),k3_treal_1(A,B,k2_treal_1(A,B),k1_treal_1(A,B)))) & r2_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),k3_struct_0(k4_topmetr(k5_numbers,1)),k1_partfun1(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k3_treal_1(A,B,k2_treal_1(A,B),k1_treal_1(A,B)),k4_treal_1(A,B,k2_treal_1(k5_numbers,1),k1_treal_1(k5_numbers,1)))) ) ) ) ) )).
fof(t16_trees_1,axiom,( ! [A] : k1_trees_1(k9_finseq_1(A)) = k1_tarski(k1_xboole_0) )).
fof(t16_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m2_trees_2(B,A) => ? [C] : ( v7_ordinal1(C) & B = k2_trees_2(A,C) ) ) ) )).
fof(t16_trees_3,axiom,( ! [A] : ! [B] : ( v2_trees_3(k2_tarski(A,B)) <=> ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) & ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) ) )).
fof(t16_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( k1_trees_4(A) = k3_trees_4(B,C) => ( A = B & C = k1_xboole_0 ) ) ) )).
fof(t16_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ( k6_trees_9(A) = k6_trees_9(B) => A = B ) ) ) )).
fof(t16_trees_a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(A)) => k3_trees_a(A,k2_trees_a(k9_xtuple_0(A),C),B) = k7_trees_2(A,C,B) ) ) ) )).
fof(t16_tsep_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => ( ( v1_tsep_1(B,A) & m1_pre_topc(B,A) ) <=> v3_pre_topc(C,A) ) ) ) ) ) )).
fof(t16_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_1(A,B,C) <=> r2_tsep_1(A,k3_subset_1(u1_struct_0(A),B),k3_subset_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(t16_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_pre_topc(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_pre_topc(C) & m1_pre_topc(C,A) ) => ( ( v1_tsep_1(B,A) | v1_tsep_1(C,A) ) => v6_pre_topc(k1_tsep_1(A,B,C)) ) ) ) ) )).
fof(t16_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( D = C => ( v4_pre_topc(D,B) <=> ( v4_pre_topc(k3_tex_4(A,C),A) & D = k8_subset_1(u1_struct_0(A),k3_tex_4(A,C),u1_struct_0(B)) ) ) ) ) ) ) ) )).
fof(t16_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_turing_1(A,B,C,k1_nat_1(k1_nat_1(C,D),2)) => r2_turing_1(k2_finseq_4(k4_ordinal1,C,D),A,B) ) ) ) ) ) )).
fof(t16_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ( k1_funct_1(k11_twoscomp,k11_finseq_1(A,B,C)) = k1_funct_1(k20_twoscomp,k11_finseq_1(C,B,A)) & k1_funct_1(k12_twoscomp,k11_finseq_1(A,B,C)) = k1_funct_1(k19_twoscomp,k11_finseq_1(C,B,A)) ) ) ) ) )).
fof(t16_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ( ~ v1_xboole_0(k6_unialg_2(A)) & m1_subset_1(k6_unialg_2(A),k1_zfmisc_1(u1_struct_0(B))) ) ) ) )).
fof(t16_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_unialg_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_unialg_2(A))) => ! [D] : ( ( v1_unialg_1(D) & m1_unialg_2(D,A) ) => ! [E] : ( ( v1_unialg_1(E) & m1_unialg_2(E,A) ) => ( ( B = D & C = E ) => ( r3_lattices(k12_unialg_2(A),B,C) <=> m1_unialg_2(D,E) ) ) ) ) ) ) ) )).
fof(t16_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_uniroots(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_uniroots(A))) => ( ( B = D & C = E ) => k6_algstr_0(k1_uniroots(A),D,E) = k6_algstr_0(A,B,C) ) ) ) ) ) ) )).
fof(t16_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( C = k1_partfun1(k4_finseq_1(B),k4_finseq_1(B),k4_ordinal1,u1_struct_0(A),D,B) => k3_group_4(A,C) = k3_group_4(A,B) ) ) ) ) ) )).
fof(t16_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_subset_1(B,k1_numbers,k1_urysohn1(k1_nat_1(A,1))) => ! [C] : ( m2_subset_1(C,k1_numbers,k1_urysohn1(k1_nat_1(A,1))) => ~ ( ~ r1_xxreal_0(C,B) & ~ r2_tarski(B,k1_urysohn1(A)) & ~ r2_tarski(C,k1_urysohn1(A)) & ~ r1_xxreal_0(k7_xcmplx_0(k1_nat_1(k5_urysohn1(k1_nat_1(A,1),B),1),k11_newton(2,k1_nat_1(A,1))),k7_xcmplx_0(k6_xcmplx_0(k5_urysohn1(k1_nat_1(A,1),C),1),k11_newton(2,k1_nat_1(A,1)))) ) ) ) ) )).
fof(t16_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_xxreal_2(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( C = k1_integra2(A,B) & A = k2_xxreal_1(k7_supinf_2(A),k8_supinf_2(A)) ) => ( C = k2_xxreal_1(k7_supinf_2(C),k8_supinf_2(C)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( D = k7_supinf_2(A) & E = k8_supinf_2(A) ) => ( k7_supinf_2(C) = k3_xcmplx_0(B,D) & k8_supinf_2(C) = k3_xcmplx_0(B,E) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k4_subset_1(k1_numbers,k2_urysohn1,k3_limfunc1(1))) => ( r1_xxreal_0(E,k5_numbers) | ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r2_tarski(F,k1_funct_1(k2_urysohn3(A,B,C,D),E)) => r1_xxreal_0(k12_supinf_2(k4_urysohn3(A,B,C,D),F),E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ! [E] : ( ( v5_relat_1(E,k3_qc_lang1(A)) & v3_card_1(E,B) & m2_finseq_1(E,k2_qc_lang1(A)) ) => ! [F] : ( m1_valuat_1(F,A,C) => ! [G] : ( m2_subset_1(G,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ( r1_valuat_1(A,C,k4_cqc_lang(B,A,G,E),F,D) <=> k3_funct_2(k2_valuat_1(A,C),k5_margrel1,k5_valuat_1(A,C,B,E,k7_valuat_1(A,C,B,F,G)),D) = k7_margrel1 ) ) ) ) ) ) ) ) )).
fof(t16_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k3_numbers) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) ) => ? [B] : ( v1_rat_1(B) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = B ) ) ) )).
fof(t16_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k9_xtuple_0(k50_valued_1(A,B)) = k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) ) ) )).
fof(t16_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k24_valued_1(k24_valued_1(C,A),B) = k24_valued_1(C,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t16_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [F] : ( m1_vectsp_4(F,A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))) => ( ( C = E & D = F ) => ( r1_struct_0(D,C) | ! [G] : ( m1_subset_1(G,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ( r1_struct_0(D,G) => k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),G,F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),u1_struct_0(B),G,k4_struct_0(B)) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_polynom5(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => v1_vectsp11(C,A,B) ) ) ) )).
fof(t16_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_algstr_0(A,B,C) = k4_struct_0(A) <=> k4_algstr_0(A,B) = C ) ) ) ) )).
fof(t16_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ( k6_algstr_0(A,B,k12_algstr_0(A,k1_group_1(A),B)) = k1_group_1(A) & k6_algstr_0(A,k12_algstr_0(A,k1_group_1(A),B),B) = k1_group_1(A) ) ) ) ) )).
fof(t16_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( ( F = D & G = C ) => k5_algstr_0(E,F,G) = k5_algstr_0(B,D,C) ) ) ) ) ) ) ) ) )).
fof(t16_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => ( m1_vectsp_4(D,A,C) => k2_vectsp_5(A,B,D,C) = D ) ) & ! [D] : ( m1_vectsp_4(D,A,B) => ( k2_vectsp_5(A,B,D,C) = D => m1_vectsp_4(D,A,C) ) ) ) ) ) ) )).
fof(t16_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_vectsp_6(C,A,B,k1_subset_1(u1_struct_0(B))) => k4_vectsp_6(A,B,C) = k4_struct_0(B) ) ) ) )).
fof(t16_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => m1_vectsp_4(k1_vectsp_7(A,B,k9_subset_1(u1_struct_0(B),C,D)),A,k2_vectsp_5(A,B,k1_vectsp_7(A,B,C),k1_vectsp_7(A,B,D))) ) ) ) ) )).
fof(t16_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( r1_tarski(D,u1_struct_0(C)) => m1_vectsp_4(k1_vectsp_7(A,B,D),A,C) ) ) ) ) ) )).
fof(t16_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,D),k4_vfunct_1(A,B,k2_vfunct_1(A,B,D,C),k4_xcmplx_0(1))) ) ) ) ) )).
fof(t16_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,D),k2_vfunct_2(A,B,k2_vfunct_1(A,B,D,C),k4_xcmplx_0(k6_complex1))) ) ) ) ) )).
fof(t16_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( v7_ordinal1(I) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),G) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,E),k1_nat_1(I,1)),G),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,F),k1_nat_1(I,1)),G)) ) ) ) ) ) ) ) ) ) )).
fof(t16_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_waybel10(A))) <=> ( v1_orders_2(B) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & m1_yellow_0(B,A) ) ) ) )).
fof(t16_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_waybel_9(A) ) => ( u1_pre_topc(A) = a_1_0_waybel11(A) => v2_pre_topc(A) ) ) )).
fof(t16_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => ( r3_yellow_4(A,B,C) & r4_yellow_4(A,C,B) ) ) ) ) ) )).
fof(t16_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))))))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A)))),B,C) = k2_waybel_8(A,C) ) => v23_waybel_0(B,A,k1_yellow_1(k7_waybel_0(k1_waybel_8(A)))) ) ) ) )).
fof(t16_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k6_waybel_0(A,k1_yellow_0(A,B)) = k1_setfam_1(a_2_1_waybel14(A,B)) ) ) )).
fof(t16_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) <=> ? [B] : ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v3_waybel_8(B) & l1_orders_2(B) & ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v2_funct_2(C,u1_struct_0(A)) & v17_waybel_0(C,B,A) & v22_waybel_0(C,B,A) ) ) ) ) )).
fof(t16_waybel16,axiom,( ! [A] : k3_yellow_0(k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))) = k1_tarski(A) )).
fof(t16_waybel17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(D,A,B) => ( ( ~ ( r1_yellow_0(A,C) & r1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) ) & ~ ( v24_waybel_0(A) & v24_waybel_0(B) ) ) | r3_orders_2(B,k1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)),k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k1_yellow_0(A,C))) ) ) ) ) ) ) )).
fof(t16_waybel18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( u1_struct_0(A) = u1_struct_0(B) & u1_pre_topc(A) = u1_pre_topc(B) & v2_waybel18(A) ) => v2_waybel18(B) ) ) ) )).
fof(t16_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_waybel19(B) & l1_waybel_9(B) ) => k1_waybel19(k3_yellow_3(A,B)) = u1_pre_topc(k2_borsuk_1(A,B)) ) ) )).
fof(t16_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ( r5_waybel_1(A,B) & v4_orders_2(A) ) => v4_orders_2(B) ) ) ) )).
fof(t16_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & v5_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( ( r2_tarski(k4_yellow_0(A),u1_struct_0(B)) & v3_waybel_0(B,A) ) => v7_yellow_0(B,A) ) ) ) )).
fof(t16_waybel22,axiom,( ! [A] : r1_waybel22(k1_yellow_1(k8_waybel_0(k2_yellow_1(A))),k1_waybel22(A)) )).
fof(t16_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel23(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) & r1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)) ) => r2_tarski(k1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)),B) ) ) ) ) ) ) )).
fof(t16_waybel24,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( v22_waybel_0(D,k3_yellow_3(A,B),C) => ( v22_waybel_0(k1_waybel24(A,B,C,D,E),B,C) & v22_waybel_0(k2_waybel24(A,B,C,D,F),A,C) ) ) ) ) ) ) ) ) )).
fof(t16_waybel25,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => g1_orders_2(u1_struct_0(k1_waybel25(B)),u1_orders_2(k1_waybel25(B))) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) )).
fof(t16_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,B) ) => ( v4_yellow_0(k1_waybel26(A,C),k1_waybel26(A,B)) & m1_yellow_0(k1_waybel26(A,C),k1_waybel26(A,B)) ) ) ) ) )).
fof(t16_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(D),u1_pre_topc(D)) ) => k1_waybel26(A,C) = k1_waybel26(B,D) ) ) ) ) ) )).
fof(t16_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) ) => ! [C] : ( m2_yellow_6(C,A,B) => ( v1_yellow_6(C,A) & k3_yellow_6(A,B) = k3_yellow_6(A,C) ) ) ) ) )).
fof(t16_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => k1_waybel29(A) = k1_waybel29(B) ) ) ) )).
fof(t16_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_tops_2(E,A) & v1_yellow_8(E,A,D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( C = D => ( v1_tops_2(a_3_1_waybel30(A,D,E),B) & v1_yellow_8(a_3_1_waybel30(A,D,E),B,C) & m1_subset_1(a_3_1_waybel30(A,D,E),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) ) ) ) )).
fof(t16_waybel31,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => v1_finset_1(k7_waybel_0(A)) ) )).
fof(t16_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> ( v13_waybel_0(B,A) & v3_waybel11(B,A) ) ) ) ) )).
fof(t16_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v3_waybel_7(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ! [C] : ( m2_yellow_6(C,A,k3_yellow19(A,k2_struct_0(A),B)) => k1_waybel33(A,k2_struct_0(A),B) = k1_waybel11(A,C) ) ) ) )).
fof(t16_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_waybel34(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_waybel34(A))) => ! [D] : ( r2_tarski(D,k1_altcat_1(k5_waybel34(A),B,C)) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_yellow21(k5_waybel34(A),B)),u1_struct_0(k4_yellow21(k5_waybel34(A),C))) & v18_waybel_0(D,k4_yellow21(k5_waybel34(A),B),k4_yellow21(k5_waybel34(A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k5_waybel34(A),B)),u1_struct_0(k4_yellow21(k5_waybel34(A),C))))) ) ) ) ) ) )).
fof(t16_waybel35,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_lattice3(A,k4_waybel35(A,B,C,D),D) ) ) ) )).
fof(t16_waybel_0,axiom,( ! [A] : ( ( v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,k3_waybel_0(A,B)) & r1_tarski(B,k4_waybel_0(A,B)) ) ) ) )).
fof(t16_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_lattice3(A) => ( v17_waybel_0(C,A,B) <=> ( v5_orders_3(C,A,B) & v4_waybel_1(C,A,B) ) ) ) ) ) ) )).
fof(t16_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_yellow_0(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),B),C)) = k13_lattice3(A,B,k2_yellow_0(A,C)) ) ) ) )).
fof(t16_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r2_tarski(k1_yellow_0(A,B),B) ) ) )).
fof(t16_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v4_yellow_0(k8_waybel_4(A),k5_yellow_1(u1_struct_0(A),k1_yellow_1(k7_waybel_0(A)))) & m1_yellow_0(k8_waybel_4(A),k5_yellow_1(u1_struct_0(A),k1_yellow_1(k7_waybel_0(A)))) ) ) )).
fof(t16_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) => r1_orders_2(A,k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),C,D))),k5_yellow_2(A,k4_waybel_5(A,D))) ) ) ) ) )).
fof(t16_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) => r2_tarski(k2_yellow_0(A,D),C) ) ) => u1_struct_0(A) = C ) ) ) ) ) )).
fof(t16_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & v1_waybel_7(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) <=> ( ~ v1_xboole_0(B) & v2_waybel_0(B,k7_lattice3(A)) & v13_waybel_0(B,k7_lattice3(A)) & v2_waybel_7(B,k7_lattice3(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_lattice3(A)))) ) ) ) )).
fof(t16_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v1_waybel_8(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ v1_xboole_0(k2_waybel_8(A,C)) & v1_waybel_0(k2_waybel_8(A,C),A) ) ) ) => v1_waybel_8(B) ) ) ) )).
fof(t16_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel_9(A,B,C))) => ( D = E => k2_waybel_0(A,B,D) = k2_waybel_0(A,k4_waybel_9(A,B,C),E) ) ) ) ) ) ) )).
fof(t16_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => r1_tarski(u1_struct_0(k4_weddwitt(A)),u1_struct_0(A)) ) )).
fof(t16_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v5_pre_topc(k4_weierstr(A,B),k3_pcomps_1(A),k3_topmetr) ) ) )).
fof(t16_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v6_relat_2(B) => v6_relat_2(k2_wellord1(B,A)) ) ) )).
fof(t16_wellord2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r2_wellord1(B,A) => ( k1_relat_1(k2_wellord1(B,A)) = A & v2_wellord1(k2_wellord1(B,A)) ) ) ) )).
fof(t16_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_nat_d(C,A) & k3_int_2(A,B) = 1 ) => k3_int_2(C,B) = 1 ) ) ) ) )).
fof(t16_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k3_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k3_xboole_0(B,C)) )).
fof(t16_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(A,k3_xboolean(k6_xboolean(A,B))) = k4_xboolean(A,k3_xboolean(B)) ) ) )).
fof(t16_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k6_xcmplx_0(B,A) = B => A = k5_numbers ) ) ) )).
fof(t16_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k6_xcmplx_0(A,B),k6_xcmplx_0(C,D)) => r1_xxreal_0(k6_xcmplx_0(A,C),k6_xcmplx_0(B,D)) ) ) ) ) ) )).
fof(t16_xtuple_0,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k13_xtuple_0(A),k13_xtuple_0(B)) ) )).
fof(t16_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( k4_xxreal_0(A,B) = A | k4_xxreal_0(A,B) = B ) ) ) )).
fof(t16_xxreal_1,axiom,( ! [A] : ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_tarski(A,k4_xxreal_1(B,C)) => ( r2_tarski(A,k1_xxreal_1(B,C)) & A != B & A != C ) ) ) ) )).
fof(t16_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & ~ v1_xboole_0(A) ) => ( v4_xxreal_2(A) => r2_hidden(k1_xxreal_2(A),k1_numbers) ) ) )).
fof(t16_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( k1_xxreal_3(A,B) = k1_xxreal_0 & A != k1_xxreal_0 & B != k1_xxreal_0 ) ) ) )).
fof(t16_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k7_yellow_3(A,B,k13_lattice3(A,C,D),k13_lattice3(B,E,F)) = k13_lattice3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F)) ) ) ) ) ) ) )).
fof(t16_yellow12,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & C = D ) => k5_yellow_0(A,C) = k5_yellow_0(B,D) ) ) ) ) ) )).
fof(t16_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ! [D] : ( ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,D) & r1_xboole_0(B,E) ) ) ) ) ) ) ) )).
fof(t16_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v23_waybel_0(D,A,B) & r1_yellow_0(A,C) ) => r1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) ) ) )).
fof(t16_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k2_yellow15(A,B) = k1_tarski(A) ) )).
fof(t16_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r5_waybel_1(A,B) <=> ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v5_orders_3(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C),k3_struct_0(B)) & r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D),k3_struct_0(A)) ) ) ) ) ) )).
fof(t16_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ~ ( r2_tarski(C,k2_waybel18(A,B)) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,D)))) => ~ ( v3_pre_topc(E,k4_waybel18(A,B,D)) & k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,D)),k6_waybel18(A,B,D),E) = C ) ) ) ) ) ) )).
fof(t16_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => r2_functor0(A,B) ) ) ) )).
fof(t16_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_waybel_9(A,k3_yellow19(A,k2_struct_0(A),B),C) <=> r1_waybel_7(A,B,C) ) ) ) ) )).
fof(t16_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,B) & v1_funct_1(E) & v1_partfun1(E,B) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k3_xboole_0(A,B)) & v1_funct_1(G) & v1_partfun1(G,k3_xboole_0(A,B)) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k3_xboole_0(A,B)) & v1_funct_1(H) & v1_partfun1(H,k3_xboole_0(A,B)) ) => ( ( G = k1_yellow20(C,E) & H = k1_yellow20(D,F) ) => ! [I] : ( m2_pboole(I,A,C,D) => ! [J] : ( m2_pboole(J,B,E,F) => ( ! [K] : ( ( r2_tarski(K,k1_relset_1(A,I)) & r2_tarski(K,k1_relset_1(B,J)) ) => r1_partfun1(k1_funct_1(I,K),k1_funct_1(J,K)) ) => m2_pboole(k1_yellow20(I,J),k3_xboole_0(A,B),G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t16_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( r2_tarski(u1_struct_0(B),A) => ( m1_subset_1(B,u1_struct_0(k7_yellow21(A))) <=> ( v1_orders_2(B) & v3_lattice3(B) & v3_waybel_3(B) ) ) ) ) ) )).
fof(t16_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( r2_yellow_0(A,B) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r1_lattice3(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lattice3(A,B,D) => r1_orders_2(A,D,C) ) ) ) ) ) )).
fof(t16_yellow_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_yellow_0(k1_yellow_1(A)) => r2_tarski(k1_setfam_1(A),A) ) ) )).
fof(t16_yellow_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) => v5_orders_3(B,A,A) ) ) ) )).
fof(t16_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( v5_orders_2(k3_yellow_3(A,B)) => ( v5_orders_2(A) & v5_orders_2(B) ) ) ) ) )).
fof(t16_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k1_yellow_4(A,B,k4_subset_1(u1_struct_0(A),C,D)) = k4_subset_1(u1_struct_0(A),k1_yellow_4(A,B,C),k1_yellow_4(A,B,D)) ) ) ) ) )).
fof(t16_yellow_5,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v2_waybel_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k10_lattice3(A,k12_lattice3(A,B,C),k12_lattice3(A,B,D)) = B => r1_orders_2(A,B,k10_lattice3(A,C,D)) ) ) ) ) ) ) )).
fof(t16_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_waybel_0(A,B,C) = k3_yellow_6(A,B) ) ) ) )).
fof(t16_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ( v2_lattice3(A) <=> v1_lattice3(k7_lattice3(A)) ) ) )).
fof(t16_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_yellow_8(A,B,C) => B = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(t16_yellow_9,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k1_cantor_1(A,B) = k1_tarski(k1_xboole_0) ) )).
fof(t16_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(A)) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( ( v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k4_ordinal1)) ) => ( ( v8_zf_fund1(E,A) & r2_tarski(B,E) & r1_tarski(B,E) & r2_tarski(D,k1_funct_2(G,B)) & r1_tarski(C,k1_funct_2(k4_subset_1(k4_ordinal1,G,k6_domain_1(k4_ordinal1,F)),B)) & r2_tarski(C,E) ) => ( r2_tarski(F,G) | r2_tarski(a_5_1_zf_fund1(A,B,C,D,F),E) ) ) ) ) ) ) ) ) ) )).
fof(t16_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k1_funct_1(k6_zf_lang(A,B),1) = 3 ) ) )).
fof(t16_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ( k15_zf_lang(C,D,E,A) = k13_zf_lang(G,F,B) => ( C = G & D = F & k7_zf_lang(E,A) = B ) ) ) ) ) ) ) ) ) )).
fof(t16_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r1_zf_model(A,B,k7_zf_lang(D,C)) <=> ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k3_funct_2(k1_zf_lang,A,E,F) != k3_funct_2(k1_zf_lang,A,B,F) => D = F ) ) => r1_zf_model(A,E,C) ) ) ) ) ) ) ) )).
fof(t16_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( v3_ordinal1(B) & m1_subset_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v5_relat_1(C,A) & v5_ordinal1(C) & v1_funct_1(C) & v1_zf_refle(C,A) ) => r1_tarski(k5_zf_refle(A,C,B),k4_zf_refle(A,C)) ) ) ) )).
fof(t16_zfmisc_1,axiom,( ! [A] : ! [B] : k4_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_xboole_0 )).
fof(t16_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_ordinal1(A) => ( ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(B)) => r2_zf_model(A,k11_zf_model(B)) ) ) <=> ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_zfmodel1(B,A) => ! [C] : ( r2_tarski(C,A) => r2_tarski(k7_relat_1(B,C),A) ) ) ) ) ) ) )).
fof(t16_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(C)) & r1_zf_model(A,D,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(C,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( ~ r1_xxreal_0(B,G) & r2_tarski(k2_zf_lang(G),k4_zf_lang1(E)) & G != 3 & G != 4 ) ) & ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(E)) & r1_zf_model(A,F,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(E,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(A,A,k1_zfmodel1(C,A,D),k1_zfmodel1(E,A,F)) ) ) ) ) ) ) ) ) )).
fof(t16_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( ( v2_ordinal2(B) & v3_ordinal2(B) ) => v3_ordinal2(k1_ordinal3(A,B)) ) ) ) )).
fof(t16_zmodul01,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k1_zmodul01(B,C,k4_xcmplx_0(A)) = k4_algstr_0(B,k1_zmodul01(B,C,A)) ) ) ) )).
fof(t16_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k4_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => k20_zmodul02(A,k2_finseq_4(u1_struct_0(A),B,C),D) = k2_finseq_4(u1_struct_0(A),k1_zmodul01(A,B,k3_funct_2(u1_struct_0(A),k4_numbers,D,B)),k1_zmodul01(A,C,k3_funct_2(u1_struct_0(A),k4_numbers,D,C))) ) ) ) ) )).
fof(t16_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_zmodul02(C,A) & r1_tarski(C,u1_struct_0(B)) ) => ( v1_zmodul02(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t16_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => k1_zmodul03(A) = k1_vectsp_9(k11_gaussint,k5_zmodul04(A)) ) )).
fof(t16_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_rlvect_1(A,D)) = k4_rlvect_1(B,k4_finseqop(u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) ) ) )).
fof(t16_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v3_zmodul06(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_zmodul06(B,A) <=> B = k4_struct_0(A) ) ) ) )).
fof(t170_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v18_absred_0(A) & v20_absred_0(A) & v23_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,k7_absred_0(A,k7_absred_0(A,B)),C),k8_absred_0(A,B,C)) ) ) ) ) )).
fof(t170_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m3_glib_001(C,A) => ( ( r1_tarski(k13_glib_001(A,C),k24_glib_000(A,B)) & r1_tarski(k14_glib_001(A,C),k25_glib_000(A,B)) ) => m3_glib_001(C,B) ) ) ) ) )).
fof(t170_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ~ ( r2_tarski(C,k20_member_1(A,B)) & ! [D] : ( m1_subset_1(D,k6_numbers) => ~ ( C = k3_xxreal_3(D,B) & r2_tarski(D,A) ) ) ) ) ) )).
fof(t170_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r2_hidden(A,k9_xtuple_0(B)) <=> k9_relat_1(B,A) != k1_xboole_0 ) ) )).
fof(t170_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B),C)) = k6_xcmplx_0(k6_xcmplx_0(A,B),C) ) ) ) )).
fof(t170_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) & r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & k2_xcmplx_0(k3_xcmplx_0(C,A),k3_xcmplx_0(k6_xcmplx_0(1,C),B)) = k5_numbers & ~ ( C = k5_numbers & B = k5_numbers ) & ~ ( C = 1 & A = k5_numbers ) & ~ ( A = k5_numbers & B = k5_numbers ) ) ) ) ) )).
fof(t170_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => k2_xboole_0(k3_xxreal_1(A,B),k3_xxreal_1(B,C)) = k3_xxreal_1(A,C) ) ) ) ) )).
fof(t170_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v6_zf_lang(A) <=> v6_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t171_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v23_absred_0(A) & v24_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,B,k6_absred_0(A)),B) ) ) ) )).
fof(t171_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v4_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m2_glib_000(D,A,k6_subset_1(k6_glib_000(A),k1_tarski(C)),k21_glib_000(A,k6_subset_1(k6_glib_000(A),k1_tarski(C)))) => ( ~ r2_tarski(C,k13_glib_001(A,B)) => m3_glib_001(B,D) ) ) ) ) ) )).
fof(t171_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k20_member_1(A,B) = k4_member_1(k18_member_1(A,B)) ) ) )).
fof(t171_relat_1,axiom,( ! [A] : ! [B] : ( v4_relat_1(k1_xboole_0,A) & v5_relat_1(k1_xboole_0,B) ) )).
fof(t171_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),B),C)) = k2_xcmplx_0(k6_xcmplx_0(A,B),C) ) ) ) )).
fof(t171_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(A,B) ) => r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,C),A),k3_xcmplx_0(C,B))) ) ) ) ) )).
fof(t171_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(C,B) | k2_xboole_0(k3_xxreal_1(A,B),k4_xxreal_1(B,C)) = k4_xxreal_1(A,C) ) ) ) ) ) )).
fof(t171_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v4_zf_lang(A) => k19_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k19_zf_lang(A),B,C) ) ) ) ) )).
fof(t172_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v23_absred_0(A) & v25_absred_0(A) ) => r10_absred_0(A,k7_absred_0(A,k7_absred_0(A,B)),B) ) ) ) )).
fof(t172_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( m2_glib_000(D,A,k6_glib_000(A),k6_subset_1(k7_glib_000(A),k1_tarski(C))) => ( ~ r2_tarski(C,k14_glib_001(A,B)) => m3_glib_001(B,D) ) ) ) ) )).
fof(t172_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k18_member_1(A,B) = k4_member_1(k20_member_1(A,B)) ) ) )).
fof(t172_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_xboole_0(A,B) => k5_relat_1(k5_relat_1(C,A),B) = k1_xboole_0 ) ) )).
fof(t172_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),C)) = k6_xcmplx_0(k2_xcmplx_0(A,B),C) ) ) ) )).
fof(t172_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(C,1) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,C),A),k3_xcmplx_0(C,B)),B) ) ) ) ) )).
fof(t172_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,B) & k2_xboole_0(k3_xxreal_1(A,B),k2_xxreal_1(B,C)) != k4_xxreal_1(A,C) ) ) ) ) )).
fof(t172_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v5_zf_lang(A) => ( k20_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k20_zf_lang(A),B,C) & k21_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k21_zf_lang(A),B,C) ) ) ) ) ) )).
fof(t173_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ( ( v22_absred_0(A) & v25_absred_0(A) ) => r10_absred_0(A,k7_absred_0(A,k6_absred_0(A)),k6_absred_0(A)) ) ) )).
fof(t173_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ! [D] : ! [E] : ( r1_glib_000(B,C,D,E) => k2_glib_001(A,C,D,E) = k2_glib_001(B,C,D,E) ) ) ) )).
fof(t173_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k20_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k20_member_1(A,C),k20_member_1(B,C)) ) ) ) )).
fof(t173_relat_1,axiom,( ! [A] : k1_relat_1(k1_tarski(k4_tarski(A,A))) = k1_tarski(A) )).
fof(t173_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k4_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),C)) = k2_xcmplx_0(k2_xcmplx_0(A,B),C) ) ) ) )).
fof(t173_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) & r1_xxreal_0(A,B) & r1_xxreal_0(A,C) ) => r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,D),B),k3_xcmplx_0(D,C))) ) ) ) ) ) )).
fof(t173_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,B) & k2_xboole_0(k4_xxreal_1(A,B),k2_xxreal_1(B,C)) != k4_xxreal_1(A,C) ) ) ) ) )).
fof(t173_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v6_zf_lang(A) => ( k23_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k23_zf_lang(A),B,C) & ( k22_zf_lang(A) = B => k22_zf_lang(k6_zf_lang1(A,B,C)) = C ) & ( k22_zf_lang(A) != B => k22_zf_lang(k6_zf_lang1(A,B,C)) = k22_zf_lang(A) ) ) ) ) ) ) )).
fof(t174_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v19_absred_0(A) & v26_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,B,k7_absred_0(A,B)),k6_absred_0(A)) ) ) ) )).
fof(t174_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ! [E] : ( ( C = D & r2_tarski(E,k28_glib_000(B,k4_glib_001(B,D))) ) => k10_glib_001(A,C,E) = k10_glib_001(B,D,E) ) ) ) ) ) )).
fof(t174_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k20_member_1(k6_subset_1(A,B),C) = k6_subset_1(k20_member_1(A,C),k20_member_1(B,C)) ) ) ) )).
fof(t174_relat_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) ) => B = k5_relat_1(B,A) ) )).
fof(t174_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(k4_xcmplx_0(A),B) = k4_xcmplx_0(k3_xcmplx_0(A,B)) ) ) )).
fof(t174_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) & r1_xxreal_0(B,A) & r1_xxreal_0(C,A) ) => r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,D),B),k3_xcmplx_0(D,C)),A) ) ) ) ) ) )).
fof(t174_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,D) & r1_xxreal_0(C,B) & r1_xxreal_0(D,C) ) => k2_xboole_0(k1_xxreal_1(A,C),k1_xxreal_1(D,B)) = k1_xxreal_1(A,B) ) ) ) ) ) )).
fof(t174_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v8_zf_lang(A) <=> v8_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t175_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v18_absred_0(A) & v20_absred_0(A) & v28_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,B,k8_absred_0(A,k7_absred_0(A,B),C)),C) ) ) ) ) )).
fof(t175_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m3_glib_001(C,B) => ( ( v1_glib_001(C,B) => ( v1_glib_001(C,A) & m3_glib_001(C,A) ) ) & ( v2_glib_001(C,B) => ( v2_glib_001(C,A) & m3_glib_001(C,A) ) ) & ( v3_glib_001(C,B) => ( v3_glib_001(C,A) & m3_glib_001(C,A) ) ) & ( v4_glib_001(C,B) => ( v4_glib_001(C,A) & m3_glib_001(C,A) ) ) & ( v5_glib_001(C,B) => ( v5_glib_001(C,A) & m3_glib_001(C,A) ) ) & ( v6_glib_001(C,B) => ( v6_glib_001(C,A) & m3_glib_001(C,A) ) ) ) ) ) ) )).
fof(t175_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => k20_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k20_member_1(A,C),k20_member_1(B,C)) ) ) ) )).
fof(t175_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) ) => ( r1_tarski(C,B) => r1_tarski(C,k5_relat_1(B,A)) ) ) ) )).
fof(t175_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(k4_xcmplx_0(A),B) = k3_xcmplx_0(A,k4_xcmplx_0(B)) ) ) )).
fof(t175_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) & ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,A) & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,D),B),k3_xcmplx_0(D,C)),A) ) ) ) ) ) )).
fof(t175_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,D) & r1_xxreal_0(C,B) ) => ( r1_xxreal_0(C,D) | k2_xboole_0(k2_xxreal_1(A,C),k3_xxreal_1(D,B)) = k1_xxreal_1(A,B) ) ) ) ) ) ) )).
fof(t175_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v9_zf_lang(A) <=> v9_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t176_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v20_absred_0(A) & v28_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,B,k8_absred_0(A,C,k7_absred_0(A,k8_absred_0(A,B,C)))),k6_absred_0(A)) ) ) ) ) )).
fof(t176_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( C = D => ( ( v1_glib_001(C,A) => v1_glib_001(D,B) ) & ( v1_glib_001(D,B) => v1_glib_001(C,A) ) & ( v2_glib_001(C,A) => v2_glib_001(D,B) ) & ( v2_glib_001(D,B) => v2_glib_001(C,A) ) & ( v3_glib_001(C,A) => v3_glib_001(D,B) ) & ( v3_glib_001(D,B) => v3_glib_001(C,A) ) & ( v4_glib_001(C,A) => v4_glib_001(D,B) ) & ( v4_glib_001(D,B) => v4_glib_001(C,A) ) & ( v5_glib_001(C,A) => v5_glib_001(D,B) ) & ( v5_glib_001(D,B) => v5_glib_001(C,A) ) & ( v6_glib_001(C,A) => v6_glib_001(D,B) ) & ( v6_glib_001(D,B) => v6_glib_001(C,A) ) ) ) ) ) ) ) )).
fof(t176_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) => r2_tarski(k6_xcmplx_0(C,B),k21_member_1(A,B)) ) ) ) ) )).
fof(t176_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_tarski(k9_xtuple_0(C),B) => k6_subset_1(C,k5_relat_1(C,A)) = k5_relat_1(C,k6_subset_1(B,A)) ) ) )).
fof(t176_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k3_xcmplx_0(A,B) ) ) )).
fof(t176_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,1) & ~ r1_xxreal_0(A,B) & ~ r1_xxreal_0(A,C) & r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,D),B),k3_xcmplx_0(D,C))) ) ) ) ) ) )).
fof(t176_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,D) & r1_xxreal_0(D,C) ) => ( r1_xxreal_0(B,C) | k2_xboole_0(k1_xxreal_1(A,C),k2_xxreal_1(D,B)) = k2_xxreal_1(A,B) ) ) ) ) ) ) )).
fof(t176_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v10_zf_lang(A) => v10_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t177_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v21_absred_0(A) & v25_absred_0(A) & v30_absred_0(A) ) => r10_absred_0(A,k8_absred_0(A,B,k7_absred_0(A,k8_absred_0(A,C,B))),k7_absred_0(A,C)) ) ) ) ) )).
fof(t177_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( ( r5_glib_000(A,B) & m1_glib_001(C,A) ) => m1_glib_001(C,B) ) ) ) )).
fof(t177_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k21_member_1(A,B) = a_2_13_member_1(A,B) ) ) )).
fof(t177_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k9_xtuple_0(k6_subset_1(B,k5_relat_1(B,A))) = k6_subset_1(k9_xtuple_0(B),A) ) )).
fof(t177_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k3_xcmplx_0(A,k4_xcmplx_0(B))) = k3_xcmplx_0(A,B) ) ) )).
fof(t177_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(1,D) & r1_xxreal_0(A,B) & ~ r1_xxreal_0(C,A) & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,D),B),k3_xcmplx_0(D,C)),A) ) ) ) ) ) )).
fof(t177_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(C,B) & r1_xxreal_0(D,C) ) => ( r1_xxreal_0(D,A) | k2_xboole_0(k3_xxreal_1(A,C),k1_xxreal_1(D,B)) = k3_xxreal_1(A,B) ) ) ) ) ) ) )).
fof(t177_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v11_zf_lang(A) <=> v11_zf_lang(k6_zf_lang1(A,B,C)) ) ) ) ) )).
fof(t178_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v21_absred_0(A) & v31_absred_0(A) ) => r10_absred_0(A,k7_absred_0(A,k8_absred_0(A,B,C)),k8_absred_0(A,k7_absred_0(A,C),k7_absred_0(A,B))) ) ) ) ) )).
fof(t178_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( ( r5_glib_000(A,B) & m2_glib_001(C,A) ) => m2_glib_001(C,B) ) ) ) )).
fof(t178_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ~ ( r2_tarski(C,k21_member_1(A,B)) & ! [D] : ( v1_xcmplx_0(D) => ~ ( C = k6_xcmplx_0(D,B) & r2_hidden(D,A) ) ) ) ) ) )).
fof(t178_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k6_subset_1(k9_xtuple_0(B),k9_xtuple_0(k5_relat_1(B,A))) = k9_xtuple_0(k6_subset_1(B,k5_relat_1(B,A))) ) )).
fof(t178_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(A),B)) = k3_xcmplx_0(A,B) ) ) )).
fof(t178_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ~ r1_xxreal_0(1,D) & ~ r1_xxreal_0(A,B) & r1_xxreal_0(C,A) & r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,D),B),k3_xcmplx_0(D,C))) ) ) ) ) ) )).
fof(t178_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( r1_xxreal_0(D,C) => ( r1_xxreal_0(D,A) | r1_xxreal_0(B,C) | k2_xboole_0(k3_xxreal_1(A,C),k2_xxreal_1(D,B)) = k4_xxreal_1(A,B) ) ) ) ) ) ) )).
fof(t178_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v8_zf_lang(A) => ( k20_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k20_zf_lang(A),B,C) & k21_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k21_zf_lang(A),B,C) ) ) ) ) ) )).
fof(t179_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v18_absred_0(A) & v27_absred_0(A) ) => r3_absred_0(A,k8_absred_0(A,k7_absred_0(A,k6_absred_0(A)),B),B) ) ) ) )).
fof(t179_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( ( r5_glib_000(A,B) & m3_glib_001(C,A) ) => m3_glib_001(C,B) ) ) ) )).
fof(t179_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( r1_tarski(A,B) <=> r1_tarski(k21_member_1(A,C),k21_member_1(B,C)) ) ) ) ) )).
fof(t179_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) => r1_xboole_0(A,B) ) ) ) )).
fof(t179_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(k4_xcmplx_0(1),A) = k4_xcmplx_0(A) ) )).
fof(t179_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) & r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,C),A),k3_xcmplx_0(C,B))) ) => ( r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,C),A),k3_xcmplx_0(C,B)),B) | C = k5_numbers ) ) ) ) ) )).
fof(t179_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(A,D) & r1_xxreal_0(C,B) & r1_xxreal_0(D,B) ) => k2_xboole_0(k2_xboole_0(k2_xxreal_1(A,C),k1_xxreal_1(C,D)),k3_xxreal_1(D,B)) = k1_xxreal_1(A,B) ) ) ) ) ) )).
fof(t179_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v9_zf_lang(A) => ( k24_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k24_zf_lang(A),B,C) & k25_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k25_zf_lang(A),B,C) ) ) ) ) ) )).
fof(t17_abcmiz_0,axiom,( ! [A] : ( l2_abcmiz_0(A) => ! [B] : ( l2_abcmiz_0(B) => ( ( g2_abcmiz_0(u1_struct_0(A),u1_abcmiz_0(A),u1_orders_2(A),u2_abcmiz_0(A),u3_abcmiz_0(A)) = g2_abcmiz_0(u1_struct_0(B),u1_abcmiz_0(B),u1_orders_2(B),u2_abcmiz_0(B),u3_abcmiz_0(B)) & v10_abcmiz_0(A) ) => v10_abcmiz_0(B) ) ) ) )).
fof(t17_abcmiz_1,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_abcmiz_1)) ) => ! [B] : ( v7_ordinal1(B) => r2_hidden(k4_tarski(k1_abcmiz_1(A),B),k2_abcmiz_1) ) ) )).
fof(t17_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ~ ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k2_abcmiz_1) & ! [C] : ( m1_subset_1(C,k2_abcmiz_1) => ~ ( C = k1_xfamily(k1_funct_1(B,k1_xboole_0)) & B = k35_abcmiz_1(C,A) ) ) ) ) ) )).
fof(t17_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_absred_0(A,B,C) & r2_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t17_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => A = k3_xcmplx_0(k9_complex1(A),k1_absvalue(A)) ) )).
fof(t17_aescip_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,128) & r2_tarski(B,k2_finseq_1(4)) & r2_tarski(C,k2_finseq_1(4)) & r2_tarski(D,k2_finseq_1(4)) & r2_tarski(E,k2_finseq_1(4)) & r1_xxreal_0(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(B,1),8)),k2_nat_1(k7_nat_d(C,1),32)),A) & r1_xxreal_0(A,k1_nat_1(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(B,1),8)),k2_nat_1(k7_nat_d(C,1),32)),7)) & r1_xxreal_0(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(D,1),8)),k2_nat_1(k7_nat_d(E,1),32)),A) & r1_xxreal_0(A,k1_nat_1(k1_nat_1(k1_nat_1(1,k2_nat_1(k7_nat_d(D,1),8)),k2_nat_1(k7_nat_d(E,1),32)),7)) ) => ( B = D & C = E ) ) ) ) ) ) ) )).
fof(t17_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,k2_aff_1(A,B,C)) & r2_tarski(E,k2_aff_1(A,B,C)) ) => ( B = C | r1_tarski(k2_aff_1(A,B,C),k2_aff_1(A,D,E)) ) ) ) ) ) ) ) )).
fof(t17_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(F,G) & r2_tarski(B,G) & r2_tarski(C,G) & r2_tarski(F,H) & r2_tarski(D,H) & r2_tarski(E,H) & ~ r2_tarski(F,I) & ~ r2_tarski(F,J) & G != H & r2_tarski(B,I) & r2_tarski(D,I) & r2_tarski(C,J) & r2_tarski(E,J) & v1_aff_1(G,A) & v1_aff_1(H,A) & v1_aff_1(I,A) & v1_aff_1(J,A) & ~ r5_aff_1(A,I,J) & ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ~ ( r2_tarski(K,I) & r2_tarski(K,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => k1_afinsq_1(k1_ordinal4(A,B)) = k1_nat_1(k1_afinsq_1(A),k1_afinsq_1(B)) ) ) )).
fof(t17_afinsq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( r1_xxreal_0(k1_afinsq_1(B),A) => k3_afinsq_2(B,1,A) = B ) ) ) )).
fof(t17_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => r1_xboole_0(k1_afproj(A),k8_afproj(A)) ) ) )).
fof(t17_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_afvect0(A,B,C,C) <=> B = C ) ) ) ) )).
fof(t17_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_alg_1(B,A) => r1_alg_1(A,k4_alg_1(A,B),k5_alg_1(A,B)) ) ) )).
fof(t17_algseq_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k2_algseq_1(A,k4_struct_0(A))) <=> k10_xtuple_0(B) = k1_tarski(k4_struct_0(A)) ) ) ) )).
fof(t17_algspec1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(A,B) => k5_relat_1(k1_algspec1(B,C),A) = k1_algspec1(A,C) ) ) )).
fof(t17_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v32_algstr_0(A) & v4_vectsp_1(A) & v3_group_1(A) & v6_algstr_1(A) & l5_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ( k6_algstr_0(A,k9_algstr_0(A,B),B) = k5_struct_0(A) & k6_algstr_0(A,B,k9_algstr_0(A,B)) = k5_struct_0(A) ) ) ) ) )).
fof(t17_algstr_4,axiom,( ! [A] : k11_algstr_4(A,1) = A )).
fof(t17_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_relset_1(k2_zfmisc_1(k1_binop_1(u1_altcat_1(A),C,D),k1_binop_1(u1_altcat_1(A),B,C)),k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,C,D)) = k2_zfmisc_1(k1_altcat_1(A,C,D),k1_altcat_1(A,B,C)) & r1_tarski(k10_xtuple_0(k4_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A),B,C,D)),k1_altcat_1(A,B,D)) ) ) ) ) ) )).
fof(t17_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => v12_altcat_1(k4_altcat_2(A)) ) )).
fof(t17_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,B) != k1_xboole_0 & ? [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) & v3_altcat_3(D,A,B,C) & ~ ( v4_altcat_3(D,A,B,C) & v5_altcat_3(D,A,B,C) ) ) ) ) ) ) )).
fof(t17_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_altcat_1(B) ) => ! [C] : ( ( v11_functor0(C,A,B) & l2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D))) => ~ ( k1_altcat_1(A,D,E) != k1_xboole_0 & v18_functor0(C,A,B) & v8_functor0(C,A,B) & ! [G] : ( m1_subset_1(G,k1_altcat_1(A,D,E)) => F != k8_functor0(A,B,C,D,E,G) ) ) ) ) ) ) ) ) )).
fof(t17_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k3_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(t17_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_ami_3)) ) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k2_ami_3(H,I) & r2_tarski(H,k9_xtuple_0(B)) ) => k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),I) = k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),I) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_amistd_1(k5_card_1(2),k1_ami_3,B,k8_ami_3(C,A)) = k2_tarski(C,k2_xcmplx_0(B,1)) ) ) ) )).
fof(t17_ami_wstd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_setfam_1(B) => k1_ami_wstd(B,k4_amistd_1(B),A) = A ) ) )).
fof(t17_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_extpro_1(A))) => v2_extpro_1(B,A,k1_extpro_1(A)) ) ) )).
fof(t17_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( ~ ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => k1_funct_1(k2_extpro_1(A,B,C,D),k4_struct_0(B)) = k5_memstr_0(A,B,D) ) => r2_tarski(k4_struct_0(B),k4_amistd_4(A,B,C)) ) ) ) ) )).
fof(t17_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => u1_analoaf(k2_diraf(k2_analoaf(A))) = k1_diraf(u1_struct_0(A),k1_analoaf(A)) ) )).
fof(t17_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = C ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r1_analoaf(A,B,C,D,E) & r1_analoaf(A,B,D,C,E) & C != E ) ) ) ) ) ) )).
fof(t17_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_analmetr(A,F,G) & r1_analoaf(A,B,D,C,E) ) => r1_analoaf(A,k1_analort(A,F,G,B),k1_analort(A,F,G,D),k1_analort(A,F,G,C),k1_analort(A,F,G,E)) ) ) ) ) ) ) ) ) )).
fof(t17_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r2_anproj_1(A,B,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ v9_struct_0(E,A) & ~ v9_struct_0(F,A) & ~ r1_anproj_1(A,E,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( ~ v9_struct_0(G,A) & ~ r2_anproj_1(A,E,F,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [E] : ( m2_funct_2(E,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ( ( k3_funct_2(A,k1_numbers,B,F) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = F | k1_funct_1(B,J) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,C,G) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = G | k1_funct_1(C,J) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,D,H) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = H | k1_funct_1(D,J) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,E,I) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = I | k1_funct_1(E,J) = k5_numbers ) ) ) => ( F = G | F = H | F = I | G = H | G = I | H = I | ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ! [M] : ( v1_xreal_0(M) => ( k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(J,B)),k1_funct_1(k7_funcsdom(A),k4_tarski(K,C))),k1_funct_1(k7_funcsdom(A),k4_tarski(L,D))),k1_funct_1(k7_funcsdom(A),k4_tarski(M,E))) = k8_funcsdom(A) => ( J = k5_numbers & K = k5_numbers & L = k5_numbers & M = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_aofa_000,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_freealg(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k7_freealg(B,A))) => ( k3_finseq_1(D) = k1_recdef_1(B,C) => k1_funct_1(k2_pua2mss1(k7_freealg(B,A),k10_subset_1(C,k4_finseq_1(u1_unialg_1(k7_freealg(B,A))))),D) = k4_trees_4(C,D) ) ) ) ) ) ) )).
fof(t17_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : k2_xboole_0(k1_tarski(A),k7_enumset1(B,C,D,E,F,G,H,I,J)) = k8_enumset1(A,B,C,D,E,F,G,H,I,J) )).
fof(t17_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v19_aofa_a00(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k10_subset_1(k1_funct_1(u7_aofa_a00(A),7),u4_struct_0(A)) => ( k1_msualg_1(A,C) = k2_finseq_4(u1_struct_0(A),B,B) & k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(t17_aofa_i00,axiom,( ! [A] : ( m4_aofa_i00(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1,k4_numbers),k4_ordinal1))) ) => m2_aofa_i00(B,k7_freealg(k19_aofa_000,k26_aofa_i00),k4_ordinal1,k1_aofa_i00(k9_funct_2(k4_ordinal1,k4_numbers),k5_numbers,k5_numbers),A) ) ) )).
fof(t17_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( r1_tarski(D,k6_subset_1(u1_struct_0(B),u1_struct_0(A))) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,D) & v1_funct_1(E) & v1_partfun1(E,D) ) => ? [F] : ( l3_msualg_1(F,B) & v15_aofa_l00(F,A,B,C) & k5_relat_1(u3_msualg_1(B,F),D) = E ) ) ) ) ) ) )).
fof(t17_armstrng,axiom,( ! [A] : k1_relat_1(k7_armstrng(A)) = k8_mcart_1(k1_zfmisc_1(A),k1_zfmisc_1(A),k9_setfam_1(A),k9_setfam_1(A)) )).
fof(t17_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( k1_arytm_0(k2_arytm_0(A,A),k2_arytm_0(B,B)) = k5_numbers => A = k5_numbers ) ) ) )).
fof(t17_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(A,B) => r1_arytm_2(k1_arytm_1(A,C),k1_arytm_1(B,C)) ) ) ) ) )).
fof(t17_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k2_arytm_2)) => ( ( r2_tarski(k5_ordinal1,A) & ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r2_tarski(B,A) & C = k12_arytm_3 ) => r2_tarski(k7_arytm_2(B,C),A) ) ) ) ) => r1_tarski(k4_ordinal1,A) ) ) )).
fof(t17_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ! [C] : ( ( v3_ordinal1(C) & v7_ordinal1(C) ) => k3_arytm_3(k9_ordinal3(A,C),k9_ordinal3(B,C)) = k9_ordinal3(k3_arytm_3(A,B),C) ) ) ) )).
fof(t17_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_limfunc1(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) => ( ~ r2_tarski(A,k6_asympt_0(B)) & r2_tarski(B,k6_asympt_0(A)) ) ) ) ) )).
fof(t17_asympt_1,axiom,( ~ r1_xxreal_0(k7_xcmplx_0(159,100),k3_power(2,3)) => ( r2_tarski(k3_asympt_1(k3_power(2,3)),k6_asympt_0(k3_asympt_1(k7_xcmplx_0(159,100)))) & ~ r2_tarski(k3_asympt_1(k3_power(2,3)),k7_asympt_0(k3_asympt_1(k7_xcmplx_0(159,100)))) & ~ r2_tarski(k3_asympt_1(k3_power(2,3)),k8_asympt_0(k3_asympt_1(k7_xcmplx_0(159,100)))) ) )).
fof(t17_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ! [E] : ( m2_pboole(E,A,C,B) => ( ( v1_msualg_3(D) & v2_msualg_3(D,A,B,C) & r6_pboole(A,k3_msualg_3(A,B,C,B,D,E),k2_msualg_3(A,B)) ) => r6_pboole(A,E,k4_msualg_3(A,B,C,D)) ) ) ) ) ) )).
fof(t17_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => ! [C] : ( m2_funct_2(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => m2_funct_2(k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) ) ) ) )).
fof(t17_bagorder,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,C) & v1_funct_1(D) & v1_partfun1(D,C) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,C) & v1_funct_1(E) & v1_partfun1(E,C) & v4_valued_0(E) & v2_pre_poly(E) ) => k1_bagorder(C,A,B,k11_pre_poly(C,D,E)) = k11_pre_poly(k7_nat_d(B,A),k1_bagorder(C,A,B,D),k1_bagorder(C,A,B,E)) ) ) ) ) ) )).
fof(t17_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( v1_ballot_1(F,D,A,E,B) => ( r1_xxreal_0(k6_xcmplx_0(A,B),C) | v1_ballot_1(k7_finseq_1(F,k2_finseq_2(C,E)),D,A,E,k2_xcmplx_0(B,C)) ) ) ) ) ) ) )).
fof(t17_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & l2_bcialg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_bcialg_1(B,k1_bcialg_1(B,C,D),k1_bcialg_1(B,k1_bcialg_1(B,C,D),k1_bcialg_1(B,D,C))) = k4_struct_0(B) ) ) ) => ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t17_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ( k1_bcialg_1(A,B,C) = B => k1_bcialg_2(A,B,C,D) = B ) ) ) ) ) )).
fof(t17_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v4_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),k1_bcialg_1(A,C,k1_bcialg_1(A,C,B))) = k1_bcialg_1(A,k4_struct_0(A),k1_bcialg_1(A,B,C)) ) ) ) ) )).
fof(t17_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => r3_binop_1(u1_struct_0(A),k4_struct_0(A),u1_bcialg_4(A)) ) )).
fof(t17_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v8_bcialg_1(E) & m1_bcialg_5(E,A,B,C,D) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( v8_bcialg_1(E) & m1_bcialg_5(E,k1_nat_1(A,F),B,C,k1_nat_1(D,F)) ) ) ) ) ) ) ) )).
fof(t17_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k2_bcialg_6(A,B,C)) ) ) ) )).
fof(t17_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_tarski(k1_bcialg_1(A,C,k1_bcialg_1(A,k4_struct_0(A),C)),B) ) => ( v12_bcialg_1(B,A) & m2_bcialg_1(B,A) ) ) ) ) )).
fof(t17_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_bhsp_1(A,k3_rlvect_1(A,B,C),k5_algstr_0(A,B,C)) = k6_xcmplx_0(k2_bhsp_1(A,B,B),k2_bhsp_1(A,C,C)) ) ) ) )).
fof(t17_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(C,A) => k1_bhsp_2(A,k5_bhsp_1(A,C,B)) = k3_rlvect_1(A,k1_bhsp_2(A,C),B) ) ) ) ) )).
fof(t17_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(C,A) & k1_bhsp_2(A,C) = B & r1_bhsp_3(A,C,D) ) => ( v1_bhsp_2(D,A) & k1_bhsp_2(A,D) = B ) ) ) ) ) ) )).
fof(t17_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_bhsp_4(A,B,1) = k3_rlvect_1(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),B,k5_numbers),k3_funct_2(k4_ordinal1,u1_struct_0(A),B,1)) ) ) )).
fof(t17_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r2_funct_2(u1_struct_0(C),u1_struct_0(A),k7_bilinear(A,B,C,k4_bilinear(A,B,C,D),E),k4_hahnban1(A,C,k7_bilinear(A,B,C,D,E))) ) ) ) ) ) )).
fof(t17_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => k6_binari_2(A,B,C) = k7_binarith(A,B,k2_binari_2(A,C)) ) ) ) )).
fof(t17_binari_3,axiom,( k7_binarith(1,k10_binarith(k5_margrel1,k6_margrel1),k10_binarith(k5_margrel1,k7_margrel1)) = k10_binarith(k5_margrel1,k7_margrel1) & k7_binarith(1,k10_binarith(k5_margrel1,k7_margrel1),k10_binarith(k5_margrel1,k6_margrel1)) = k10_binarith(k5_margrel1,k7_margrel1) )).
fof(t17_binari_4,axiom,( ! [A] : ( v1_xboolean(A) => k5_xboolean(k7_margrel1,A) = k7_margrel1 ) )).
fof(t17_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( m1_subset_1(D,k5_margrel1) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(F,k2_finseq_1(A)) => k7_partfun1(k5_margrel1,k4_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),F) = k7_partfun1(k5_margrel1,k4_binarith(A,B,C),F) ) ) ) ) ) ) ) )).
fof(t17_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_algstr_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k5_binom(A,B,C) = k6_binom(A,B,C) ) ) ) )).
fof(t17_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( ( r2_hidden(D,A) & r2_hidden(E,B) ) => ( C = k1_xboole_0 | r2_tarski(k1_binop_1(F,D,E),C) ) ) ) )).
fof(t17_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_finseq_1(k5_series_1(2,B))) => k1_funct_1(k2_bintree2(A,B),C) = k4_finseq_5(k5_margrel1,k1_binari_3(B,k7_nat_d(C,1))) ) ) ) ) )).
fof(t17_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r4_boolealg(A,B,D) & r3_lattices(A,C,D) & r4_boolealg(A,B,C) ) ) ) ) ) )).
fof(t17_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r1_bor_cant(A,B,C,D) => ( v2_comseq_2(k3_series_1(k8_prob_1(A,B,D,C))) | ( k1_funct_1(C,k3_kurato_0(A,k2_prob_1(A,D))) = k5_numbers & k1_funct_1(C,k4_kurato_0(A,D)) = 1 ) ) ) ) ) ) ) )).
fof(t17_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ! [D] : ~ ( r2_tarski(D,k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B)),k9_borsuk_1(A,B),C)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ~ ( r2_tarski(E,C) & D = k7_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),E) ) ) ) ) ) ) )).
fof(t17_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = a_2_0_borsuk_3(A,B) => ( v1_tops_2(C,A) & m1_setfam_1(C,k2_struct_0(A)) ) ) ) ) ) )).
fof(t17_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( A = k3_rcomp_1(C,D) & B = k4_rcomp_1(D,E) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(E,D) | r1_connsp_1(k5_topmetr,A,B) ) ) ) ) ) ) ) )).
fof(t17_borsuk_5,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ v1_rat_1(A) <=> r2_hidden(A,k1_borsuk_5) ) ) )).
fof(t17_borsuk_6,axiom,( v4_pre_topc(a_0_6_borsuk_6,k15_euclid(2)) & m1_subset_1(a_0_6_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(t17_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k18_rvsum_1(k12_rvsum_1(k11_finseq_1(A,B,C))) = k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(C)) ) ) ) )).
fof(t17_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => ( k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k4_rltopsp1(k15_euclid(A),D),k1_topreal9(A,B,C)) = k1_topreal9(A,k1_rlvect_1(k15_euclid(A),B,D),k3_xcmplx_0(C,D)) & k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k4_rltopsp1(k15_euclid(A),D),k2_topreal9(A,B,C)) = k2_topreal9(A,k1_rlvect_1(k15_euclid(A),B,D),k3_xcmplx_0(C,D)) & k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k4_rltopsp1(k15_euclid(A),D),k3_topreal9(A,B,C)) = k3_topreal9(A,k1_rlvect_1(k15_euclid(A),B,D),k3_xcmplx_0(C,D)) ) ) ) ) ) ) )).
fof(t17_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_bspace)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k4_bspace(A,B,k5_subset_1(A,C,D)) = k5_subset_1(A,k4_bspace(A,B,C),k4_bspace(A,B,D)) ) ) ) )).
fof(t17_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E)),k7_bvfunc_2(A,k7_bvfunc_2(A,k1_bvfunc_1(A,B),C,E),C,D)) ) ) ) ) ) ) )).
fof(t17_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H] : ! [I] : ! [J] : ! [K] : ( ( B = k2_enumset1(C,D,E,F) & G = k1_funct_4(k1_funct_4(k1_funct_4(k17_funcop_1(D,I),k17_funcop_1(E,J)),k17_funcop_1(F,K)),k17_funcop_1(C,H)) ) => k10_xtuple_0(G) = k2_enumset1(k1_funct_1(G,C),k1_funct_1(G,D),k1_funct_1(G,E),k1_funct_1(G,F)) ) ) ) ) ) ) ) ) )).
fof(t17_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k6_bvfunc_1(A,B,k6_bvfunc_1(A,C,D)),k6_bvfunc_1(A,k6_bvfunc_1(A,B,C),D)) ) ) ) ) )).
fof(t17_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,C),k12_bvfunc_1(A)) <=> r2_funct_2(A,k5_margrel1,B,C) ) ) ) ) )).
fof(t17_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E)),k7_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E)) ) ) ) ) ) )).
fof(t17_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,C,D),k9_bvfunc_1(A,C,k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t17_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,B,C,D),k7_bvfunc_2(A,B,C,E)) ) ) ) ) ) )).
fof(t17_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,C,k9_bvfunc_1(A,k9_bvfunc_1(A,C,B),B)),k12_bvfunc_1(A)) ) ) ) )).
fof(t17_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,D)),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t17_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) => v4_xxreal_2(k9_c0sp1(A,B)) ) ) ) )).
fof(t17_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_c0sp2(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( E = B & F = C & G = D ) => ( D = k8_group_1(k5_c0sp2(A),B,C) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,G,H) = k4_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,E,H),k3_funct_2(u1_struct_0(A),k1_numbers,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_valuat_1(C,A,B) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [E] : ( m2_finseq_1(E,k3_cqc_lang(A)) => ( ~ r1_xxreal_0(k3_finseq_1(E),k5_numbers) => ( ( r9_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),E),B,C,D) & r1_valuat_1(A,B,k2_calcul_1(A,E),C,D) ) <=> r9_calcul_1(A,E,B,C,D) ) ) ) ) ) ) ) )).
fof(t17_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => k1_relset_1(k4_ordinal1,k15_finseq_1(k5_relset_1(k4_ordinal1,k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,B),k2_calcul_2(k3_finseq_1(C),k3_finseq_1(B))))) = k1_relset_1(k4_ordinal1,B) ) ) ) )).
fof(t17_cantor_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_tops_2(C,A) & v2_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( u1_struct_0(A) = u1_struct_0(B) & v1_tops_2(C,B) & v2_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => A = B ) ) ) ) )).
fof(t17_card_1,axiom,( ! [A] : ! [B] : ( r2_wellord2(A,B) => k2_card_1(A) = k2_card_1(B) ) )).
fof(t17_card_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( A != B => k1_card_2(k1_card_1(C),k1_card_1(D)) = k1_card_1(k2_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B)))) ) )).
fof(t17_card_3,axiom,( ! [A] : ! [B] : ! [C] : r1_tarski(k5_card_3(A,k3_xboole_0(B,C)),k3_xboole_0(k5_card_3(A,B),k5_card_3(A,C))) )).
fof(t17_card_4,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ~ ( ~ v1_finset_1(A) & ( r1_ordinal1(B,A) | r2_tarski(B,A) ) & ~ ( r1_ordinal1(k2_card_2(A,B),A) & r1_ordinal1(k2_card_2(B,A),A) ) ) ) ) )).
fof(t17_card_5,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( ( r1_ordinal1(B,A) | r2_tarski(B,A) ) => ( ~ v1_finset_1(A) & v1_card_1(A) ) ) ) ) )).
fof(t17_card_fil,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_card_fil(B,A) => ? [C] : ( m1_card_fil(C,A) & r1_tarski(B,C) & v3_card_fil(C,A) ) ) ) )).
fof(t17_card_fin,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => ! [C] : ! [D] : ( C != D => r2_tarski(k1_funct_4(k7_funcop_1(B,D),k7_funcop_1(A,C)),k1_card_fin(k2_xboole_0(A,B),k4_card_1(A),C,D)) ) ) ) )).
fof(t17_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_tarski(C,B) => r1_tarski(k2_card_lar(A,C),k1_ordinal1(B)) ) ) ) ) )).
fof(t17_cardfin2,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ~ ( k4_card_1(A) = 23 & k4_card_1(B) = 365 & r1_xxreal_0(k2_nat_1(2,k4_card_1(k4_cardfin2(A,B))),k4_card_1(k9_funct_2(A,B))) ) ) ) )).
fof(t17_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k3_graph_1(A,C) = k4_graph_1(A,B) => ( k3_graph_1(A,k1_cat_1(A,B,C)) = k3_graph_1(A,B) & k4_graph_1(A,k1_cat_1(A,B,C)) = k4_graph_1(A,C) ) ) ) ) ) )).
fof(t17_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ( v13_cat_1(k5_cat_2(A,B),B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( C = E & D = F ) => k2_cat_1(B,C,D) = k2_cat_1(A,E,F) ) ) ) ) ) ) ) ) )).
fof(t17_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u4_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => ( r2_funct_2(A,u1_struct_0(B),k3_cat_3(B,A,D),k8_funcop_1(u1_struct_0(B),A,k3_graph_1(B,C))) => ( r2_funct_2(A,u1_struct_0(B),k2_cat_3(B,A,k7_cat_3(B,A,D,C)),k2_cat_3(B,A,D)) & r2_funct_2(A,u1_struct_0(B),k3_cat_3(B,A,k7_cat_3(B,A,D,C)),k8_funcop_1(u1_struct_0(B),A,k4_graph_1(B,C))) ) ) ) ) ) )).
fof(t17_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_graph_1(A,k3_cat_4(A,B,C)) = k2_cat_4(A,B,C) & k4_graph_1(A,k3_cat_4(A,B,C)) = B ) ) ) ) )).
fof(t17_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ~ ( ! [C] : ( m1_cat_5(C,A) => ! [D] : ( m1_cat_5(D,A) => ! [E] : ( m1_cat_5(E,A) => ! [F] : ( m2_cat_1(F,C,D) => ! [G] : ( m2_cat_1(G,D,E) => ( ( r2_tarski(F,B) & r2_tarski(G,B) ) => r2_tarski(k9_cat_1(C,D,E,F,G),B) ) ) ) ) ) ) & ! [C] : ( m1_cat_5(C,A) => r2_tarski(k10_cat_1(C),B) ) & ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_cat_1(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) ) => ~ ( u1_struct_0(C) = A & ! [D] : ( m1_cat_5(D,A) => ! [E] : ( m1_cat_5(E,A) => ! [F] : ( m2_cat_1(F,D,E) => ( m1_subset_1(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(D),u4_struct_0(E))),k1_domain_1(A,A,D,E),F),u4_struct_0(C)) <=> r2_tarski(F,B) ) ) ) ) ) ) ) ) ) )).
fof(t17_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v4_cat_6(A) <=> v4_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) )).
fof(t17_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k6_cat_6(A)) => ! [E] : ( m1_cat_7(E,A,B,C) => ! [F] : ( m1_cat_7(F,A,C,D) => ~ ( k1_cat_7(A,B,C) != k1_xboole_0 & k1_cat_7(A,C,D) != k1_xboole_0 & ~ r1_cat_6(A,F,E) ) ) ) ) ) ) ) )).
fof(t17_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k5_numbers,k1_catalan1(A)) ) )).
fof(t17_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ~ ( v1_catalan2(A) & a_1_0_catalan2(A) = k1_xboole_0 & ~ r1_xxreal_0(k1_afinsq_1(A),k5_numbers) & ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ~ ( A = k1_catalan2(k5_afinsq_1(k5_numbers),B) & v1_catalan2(B) ) ) ) ) )).
fof(t17_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(k3_catalg_1(A))) => ~ ( ( k1_xfamily(B) = 1 | k3_finseq_1(k2_xfamily(B)) = 1 ) & ! [C] : ( m1_subset_1(C,A) => B != k8_catalg_1(A,C) ) ) ) ) )).
fof(t17_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v10_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) => ( v10_algstr_0(B,A) & v10_algstr_0(C,A) ) ) ) ) ) )).
fof(t17_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_cc0sp1(A)) & v13_algstr_0(k7_cc0sp1(A)) & v2_rlvect_1(k7_cc0sp1(A)) & v3_rlvect_1(k7_cc0sp1(A)) & v4_rlvect_1(k7_cc0sp1(A)) & v2_clvect_1(k7_cc0sp1(A)) & v3_clvect_1(k7_cc0sp1(A)) & v4_clvect_1(k7_cc0sp1(A)) & v5_clvect_1(k7_cc0sp1(A)) & l1_clvect_1(k7_cc0sp1(A)) ) ) )).
fof(t17_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k5_cc0sp2(A)) & v13_algstr_0(k5_cc0sp2(A)) & v2_rlvect_1(k5_cc0sp2(A)) & v3_rlvect_1(k5_cc0sp2(A)) & v4_rlvect_1(k5_cc0sp2(A)) & v1_vectsp_1(k5_cc0sp2(A)) & v3_vectsp_1(k5_cc0sp2(A)) & v3_group_1(k5_cc0sp2(A)) & v5_group_1(k5_cc0sp2(A)) & v2_clvect_1(k5_cc0sp2(A)) & v3_clvect_1(k5_cc0sp2(A)) & v4_clvect_1(k5_cc0sp2(A)) & v2_cfuncdom(k5_cc0sp2(A)) & l1_cfuncdom(k5_cc0sp2(A)) ) ) )).
fof(t17_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( m2_valued_0(B,k2_numbers,A) & v2_comseq_2(A) ) => v2_comseq_2(B) ) ) ) )).
fof(t17_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v6_cfdiff_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_numbers)) ) => ( r1_tarski(B,k1_relset_1(k2_numbers,A)) => ( ! [C] : ( v1_xcmplx_0(C) => k2_relset_1(k2_numbers,A) != k1_tarski(C) ) | ( r2_cfdiff_1(A,B) & ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,B) => k7_partfun1(k2_numbers,k3_cfdiff_1(A,B),C) = k5_complex1 ) ) ) ) ) ) ) )).
fof(t17_cfuncdom,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( m2_funct_2(C,B,k2_numbers,k9_funct_2(B,k2_numbers)) & ? [D] : ( m2_funct_2(D,B,k2_numbers,k9_funct_2(B,k2_numbers)) & ! [E] : ( r2_tarski(E,B) => ( ( E = A => k1_funct_1(C,E) = k6_complex1 ) & ( E != A => k1_funct_1(C,E) = k5_numbers ) ) ) & ! [E] : ( r2_tarski(E,B) => ( ( E = A => k1_funct_1(D,E) = k5_numbers ) & ( E != A => k1_funct_1(D,E) = k6_complex1 ) ) ) ) ) ) )).
fof(t17_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( v1_xcmplx_0(D) => r2_relset_1(A,k2_numbers,k25_valued_1(A,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,B,C),D),k19_valued_1(A,k2_numbers,k2_numbers,k25_valued_1(A,k2_numbers,B,D),C)) ) ) ) ) )).
fof(t17_cgames_1,axiom,( ! [A] : ! [B] : ( v2_cgames_1(B) => ( r2_tarski(A,k8_cgames_1(B)) => ( v2_cgames_1(A) & l1_cgames_1(A) ) ) ) )).
fof(t17_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( A = k2_tarski(B,C) => ( m2_chain_1(k4_tarski(D,E),A) <=> ( ( D = B & E = C ) | ( D = C & E = B ) ) ) ) ) ) ) ) ) )).
fof(t17_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( A = k7_finseq_1(k9_finseq_1(C),B) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => k1_chord(A,k1_nat_1(D,1)) = k1_chord(B,D) ) ) ) ) )).
fof(t17_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( C = k2_circcomb(A,B) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ( v1_circuit2(G,C,F) => ( ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(A,D))) => ( H = k5_relat_1(G,u1_struct_0(A)) => v1_circuit2(H,A,D) ) ) & ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(B,E))) => ( H = k5_relat_1(G,u1_struct_0(B)) => v1_circuit2(H,B,E) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msafree2(B,A) & v5_circcmb3(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_finset_1(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_finseq_2(C,D),D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(C,D),D))) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v3_card_1(F,C) & v1_finseq_1(F) ) => ( B = k7_circcomb(C,D,E,F) => A = k5_circcomb(E,F) ) ) ) ) ) ) ) )).
fof(t17_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_msualg_1(C) ) => ( ( r1_circcomb(A,C) & B = k2_circcomb(A,C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k3_msafree2(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( D = E => ( r2_tarski(E,k3_msafree2(B)) & k4_msafree2(B,E) = k4_msafree2(A,D) ) ) ) ) ) ) ) ) ) )).
fof(t17_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( v1_circled1(B,A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,B,C),k5_numbers) & r2_tarski(C,k3_rlvect_2(A,B)) ) ) ) ) )).
fof(t17_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) ) => v4_msafree2(k6_circtrm1(A,B,D,C),k1_circtrm1(A,B,D)) ) ) ) ) )).
fof(t17_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k6_circuit1(A,B,C),k7_circuit1(A,B)) ) ) ) )).
fof(t17_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ! [D] : ( m1_msafree2(D,A,B) => ( ( v3_funct_1(k9_funct_6(C)) & D = k1_funct_1(k9_funct_6(C),k5_numbers) ) => ( v1_xboole_0(k2_msafree2(A)) | ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( G = k7_circuit1(A,B) => k1_funct_1(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,E),G),F) = k5_circuit2(A,B,F,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( v1_pdiff_7(C,A) & D = k7_funcop_1(C,E) & r1_tarski(k2_relset_1(k4_ordinal1,B),k2_finseq_1(A)) ) => ( k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,C,B,D),k5_numbers) = k7_funcop_1(C,E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k3_finseq_1(B)) ) => k1_seqfunc(k1_euclid(A),k1_numbers,k4_pdiff_9(A,C,B,D),F) = k8_funcop_1(k4_ordinal1,C,k5_numbers) ) ) ) ) ) ) ) ) ) )).
fof(t17_classes1,axiom,( ! [A] : ? [B] : ( v3_ordinal1(B) & k3_classes1(A,B) = k3_classes1(A,k1_ordinal1(B)) ) )).
fof(t17_classes2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ( v2_classes1(B) & r2_tarski(A,B) ) => r1_tarski(A,B) ) ) )).
fof(t17_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => k4_struct_0(k6_clopban1(A,B)) = k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)) ) ) )).
fof(t17_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & k2_normsp_0(A,B) = 1 ) ) )).
fof(t17_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clopban3(B,A) & v1_clopban3(C,A) ) => ( v1_clopban3(k1_normsp_1(A,B,C),A) & k1_clopban3(A,k1_normsp_1(A,B,C)) = k3_rlvect_1(A,k1_clopban3(A,B),k1_clopban3(A,C)) ) ) ) ) ) )).
fof(t17_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_clopban4(D,A,C,B),k6_clvect_1(A,k2_clopban4(D,A,C,B),k7_xcmplx_0(k6_complex1,k2_newton(D)))) ) ) ) ) )).
fof(t17_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( ( v1_closure1(C,A,B) & ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => r2_pboole(A,k2_closure1(A,B,C,D),D) ) ) => v3_closure1(C,A,B) ) ) ) )).
fof(t17_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(A,k9_xtuple_0(B)) => k1_funct_1(k3_closure2(k1_tarski(B)),A) = k1_tarski(k1_funct_1(B,A)) ) ) )).
fof(t17_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_rlvect_1(A,k2_finseq_4(u1_struct_0(A),B,B)) = k1_clvect_1(A,B,k2_xcmplx_0(k6_complex1,k6_complex1)) ) ) )).
fof(t17_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(C,A) => k1_clvect_2(A,k5_bhsp_1(A,C,B)) = k3_rlvect_1(A,k1_clvect_2(A,C),B) ) ) ) ) )).
fof(t17_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_clvect_3(A,B,1) = k3_rlvect_1(A,k1_normsp_0(A,B,k5_numbers),k1_normsp_0(A,B,1)) ) ) )).
fof(t17_coh_sp,axiom,( ! [A] : ! [B] : ( r2_tarski(A,k4_coh_sp(B)) <=> ? [C] : ( m1_subset_1(C,k3_coh_sp(B)) & ? [D] : ( m1_subset_1(D,k3_coh_sp(B)) & ( k3_tarski(D) = k1_xboole_0 => k3_tarski(C) = k1_xboole_0 ) & v1_funct_1(A) & v1_funct_2(A,k3_tarski(C),k3_tarski(D)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(C),k3_tarski(D)))) ) ) ) )).
fof(t17_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_cohsp_1(A) => ! [B] : ! [C] : ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k9_xtuple_0(A)) & r2_tarski(k2_xboole_0(B,C),k9_xtuple_0(A)) ) => k1_funct_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) )).
fof(t17_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m2_collsp(B,A) => ! [C] : ( m2_collsp(C,A) => ( r1_tarski(B,C) => B = C ) ) ) ) )).
fof(t17_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( l1_combgras(D,A,B) => ( ( g1_combgras(A,B,u1_combgras(A,B,C),u2_combgras(A,B,C)) = g1_combgras(A,B,u1_combgras(A,B,D),u2_combgras(A,B,D)) & v6_combgras(C,A,B) ) => v6_combgras(D,A,B) ) ) ) ) ) )).
fof(t17_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k1_topmetr(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_topmetr(A,B))))) ) => ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) ) ) )).
fof(t17_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k3_complex1(k4_xcmplx_0(A)) = k1_real_1(k3_complex1(A)) & k4_complex1(k4_xcmplx_0(A)) = k1_real_1(k4_complex1(A)) ) ) )).
fof(t17_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ~ ( A = B & k6_xcmplx_0(A,B) = k5_numbers ) => ( ~ r1_xxreal_0(k28_sin_cos,k1_comptrig(k6_xcmplx_0(A,B))) <=> r1_xxreal_0(k28_sin_cos,k1_comptrig(k6_xcmplx_0(B,A))) ) ) ) ) )).
fof(t17_complfld,axiom,( k9_algstr_0(k1_complfld,k5_struct_0(k1_complfld)) = k5_struct_0(k1_complfld) )).
fof(t17_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( v1_xcmplx_0(B) => k1_complsp2(k10_seq_4(A,B)) = k10_seq_4(k1_complsp2(A),k8_complex1(B)) ) ) )).
fof(t17_compos_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( l1_compos_1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(C)) & v1_funct_1(D) & v1_finset_1(D) ) => k5_compos_1(C,k5_compos_1(C,D,A),B) = k5_compos_1(C,D,k2_xcmplx_0(A,B)) ) ) ) ) )).
fof(t17_compos_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) ) => ~ r2_tarski(k62_valued_1(A),k9_xtuple_0(k63_valued_1(A))) ) )).
fof(t17_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),A) & k17_sin_cos(A) = k5_numbers & A != k5_numbers & A != k28_sin_cos ) ) )).
fof(t17_compts_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v1_compts_1(A) & v8_pre_topc(B) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) & v2_funct_1(C) & v5_pre_topc(C,A,B) ) => v3_tops_2(C,A,B) ) ) ) ) )).
fof(t17_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v4_valued_0(A) & v2_comput_1(A) ) => ( v1_funct_1(A) & v3_margrel1(A,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k4_ordinal1),k4_ordinal1))) ) ) )).
fof(t17_comseq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,C,k3_xcmplx_0(A,B)),k25_valued_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,C,B),A)) ) ) ) )).
fof(t17_comseq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_xcmplx_0(A,k3_complex1(B)) = k3_complex1(k3_xcmplx_0(A,B)) & k3_xcmplx_0(A,k4_complex1(B)) = k4_complex1(k3_xcmplx_0(A,B)) ) ) ) )).
fof(t17_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k1_funct_1(k1_conlat_1(A),k1_xboole_0) = u4_struct_0(A) ) )).
fof(t17_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_conlat_1(A) & l1_conlat_1(A) ) => k7_conlat_2(k7_conlat_2(A)) = A ) )).
fof(t17_conmetr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v1_conaffm(A) <=> v4_aff_2(g1_analoaf(u1_struct_0(A),u1_analoaf(A))) ) ) )).
fof(t17_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(B,A) & v2_connsp_1(C,A) ) => ( r1_connsp_1(A,B,C) | v2_connsp_1(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(t17_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_2(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_pre_topc(B,A) => v2_connsp_2(B,A) ) ) ) ) )).
fof(t17_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_connsp_1(B,A) => ( B = k1_xboole_0 | r1_tarski(k2_pre_topc(A,B),k1_connsp_3(A,B)) ) ) ) ) )).
fof(t17_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( B = a_3_1_convex1(A,C,D) => v1_convex1(B,A) ) ) ) ) ) )).
fof(t17_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_convex4(A,B) = k6_domain_1(u1_struct_0(A),C) => k4_convex4(A,B) = k1_clvect_1(A,C,k3_funct_2(u1_struct_0(A),k2_numbers,B,C)) ) ) ) ) )).
fof(t17_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,C)) => ! [E] : ( ( v3_card_1(E,C) & m2_finseq_1(E,k2_qc_lang1(A)) ) => k13_cqc_lang(A,k10_qc_lang1(A,D,E),B) = k10_qc_lang1(A,D,k1_cqc_lang(A,E,k2_cqc_lang(A,k3_qc_lang3(A,k5_numbers),B))) ) ) ) ) ) )).
fof(t17_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => k7_cqc_sim1(A,k7_cqc_lang(A,B,C)) = k1_nat_1(k7_cqc_sim1(A,B),k7_cqc_sim1(A,C)) ) ) ) )).
fof(t17_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(B,k1_cqc_the1(A,B)) ) ) )).
fof(t17_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A,k11_cqc_lang(A,C,B),k12_cqc_lang(A,C,B)),A) ) ) ) )).
fof(t17_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( r3_cqc_the3(A,B) <=> r1_tarski(B,k4_cqc_the1(A)) ) ) ) )).
fof(t17_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k10_csspace(A,B,k3_rlvect_1(A,C,D)) = k2_xcmplx_0(k10_csspace(A,B,C),k10_csspace(A,B,D)) ) ) ) ) )).
fof(t17_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_csspace4(A,B))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & v1_csspace4(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( D = C => ! [E] : ( m1_subset_1(E,A) => r1_xxreal_0(k2_normsp_0(B,k3_funct_2(A,u1_struct_0(B),D,E)),k2_normsp_0(k9_csspace4(A,B),C)) ) ) ) ) ) ) )).
fof(t17_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & v1_dblseq_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => k1_dblseq_1(B) = k1_dblseq_1(A) ) ) )).
fof(t17_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( ( v1_dblseq_1(k4_dblseq_2(A)) & v1_dblseq_1(k4_dblseq_2(B)) ) => v1_dblseq_1(k4_dblseq_2(k3_valued_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers,k1_numbers,A,B))) ) ) ) )).
fof(t17_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_decomp_1(A),k20_decomp_1(A)) = k9_decomp_1(A) ) )).
fof(t17_descip_1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => k11_descip_1(A,k11_descip_1(A,B,C),C) = B ) ) ) )).
fof(t17_dickson,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k5_dickson(A))) => ( r4_waybel_4(B,C,u1_orders_2(k5_dickson(A))) <=> ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_hidden(k4_tarski(D,C),u1_orders_2(A)) ) => r2_hidden(k4_tarski(C,D),u1_orders_2(A)) ) ) ) ) ) ) )).
fof(t17_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,F,C),k26_valued_1(k1_numbers,k1_numbers,G,D)),B),k1_nat_1(A,1)),E) = k2_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(F,B),k1_nat_1(A,1)),E)),k3_xcmplx_0(D,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(G,B),k1_nat_1(A,1)),E))) ) ) ) ) ) ) ) )).
fof(t17_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_zfmisc_1(A,B,C) => k10_diff_1(D,A,B,C) = k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(D,A),k3_xcmplx_0(k6_xcmplx_0(A,B),k6_xcmplx_0(A,C))),k7_xcmplx_0(k1_funct_1(D,B),k3_xcmplx_0(k6_xcmplx_0(B,A),k6_xcmplx_0(B,C)))),k7_xcmplx_0(k1_funct_1(D,C),k3_xcmplx_0(k6_xcmplx_0(C,A),k6_xcmplx_0(C,B)))) ) ) ) ) ) )).
fof(t17_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(E,C),B),C),A),D) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(E,C),k2_xcmplx_0(B,A)),D) ) ) ) ) ) )).
fof(t17_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_tarski(k2_xcmplx_0(B,k7_xcmplx_0(A,2)),k1_relset_1(k1_numbers,k1_fdiff_9)) & r2_tarski(k6_xcmplx_0(B,k7_xcmplx_0(A,2)),k1_relset_1(k1_numbers,k1_fdiff_9)) ) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_fdiff_9),A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k17_sin_cos(k3_xcmplx_0(2,B))),k17_sin_cos(A)),k1_square_1(k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2,B)),k19_sin_cos(A)))) ) ) ) )).
fof(t17_dilworth,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_finset_1(B) & v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(C,k4_card_1(B)) & ! [D] : ( ( v1_finset_1(D) & v2_dilworth(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => k4_card_1(D) != C ) ) ) ) ) )).
fof(t17_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r1_diraf(A,B,C,E) & r1_diraf(A,B,D,E) & ~ r1_diraf(A,B,C,D) & ~ r1_diraf(A,B,D,C) ) ) ) ) ) ) )).
fof(t17_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ( v2_dirort(A) => ( v3_dirort(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r4_analmetr(A,B,C,F,G) & r4_analmetr(A,D,E,F,G) ) => ( F = G | r2_dirort(A,B,C,D,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_dist_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ( ( v1_prob_2(A) & k9_xtuple_0(A) = k4_finseq_1(B) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => ( v1_finset_1(k1_funct_1(A,C)) & k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)) ) ) ) ) => ( v1_finset_1(k3_card_3(A)) & k1_card_1(k3_card_3(A)) = k16_rvsum_1(B) ) ) ) ) )).
fof(t17_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) => ! [D] : ( m1_dist_2(D,A,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k4_dist_2(A,B,C,E) = k4_dist_2(A,B,D,E) ) ) ) ) ) )).
fof(t17_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) => ! [F] : ( m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) => ( ( k4_mcart_1(A,B,C,D,E) = k4_mcart_1(A,B,C,D,F) & k5_mcart_1(A,B,C,D,E) = k5_mcart_1(A,B,C,D,F) & k6_mcart_1(A,B,C,D,E) = k6_mcart_1(A,B,C,D,F) & k7_mcart_1(A,B,C,D,E) = k7_mcart_1(A,B,C,D,F) ) => E = F ) ) ) ) ) ) ) )).
fof(t17_dtconstr,axiom,( ! [A] : ( m1_dtconstr(A,u1_struct_0(k5_dtconstr),k5_trees_3(u1_struct_0(k5_dtconstr)),k4_dtconstr(k5_dtconstr)) => k17_dtconstr(k5_dtconstr,A) = k8_finseq_1(k4_ordinal1,k3_pre_poly(k4_ordinal1,k5_numbers),k5_finseq_2(k4_ordinal1,k6_trees_1(k9_xtuple_0(A)),1)) ) )).
fof(t17_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => v1_rlsub_1(k11_dualsp01(A),k8_dualsp01(A)) ) )).
fof(t17_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k17_dualsp01(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,k3_dualsp02))) => ( B = C => k4_algstr_0(k17_dualsp01(A),B) = k4_algstr_0(k16_lopban_1(A,k3_dualsp02),C) ) ) ) ) )).
fof(t17_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( m1_dynkin(B,A) & v2_finsub_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r1_tarski(k10_xtuple_0(C),B) => r2_tarski(k3_tarski(k10_xtuple_0(C)),B) ) ) ) ) ) )).
fof(t17_e_siec,axiom,( ! [A] : ! [B] : ! [C] : ( ( v2_e_siec(C) & v3_e_siec(C) & l1_e_siec(C) ) => ~ ( ( r2_hidden(k4_tarski(A,B),u1_e_siec(C)) | r2_hidden(k4_tarski(A,B),u2_e_siec(C)) ) & A != B & ~ ( r2_hidden(A,k8_e_siec(C)) & r2_hidden(B,k7_e_siec(C)) ) ) ) )).
fof(t17_ec_pf_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) ) => k5_algstr_0(k9_int_3(C),D,E) = k5_int_1(k6_xcmplx_0(A,B),C) ) ) ) ) ) ) )).
fof(t17_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k8_group_1(A,k5_algstr_0(A,B,C),k3_rlvect_1(A,k3_rlvect_1(A,k2_binom(A,B,2),k8_group_1(A,B,C)),k2_binom(A,C,2))) = k5_algstr_0(A,k2_binom(A,B,3),k2_binom(A,C,3)) ) ) ) )).
fof(t17_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => r1_tarski(k7_ens_1(A,B,C),k2_ens_1(A)) ) ) ) )).
fof(t17_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( A = k1_xboole_0 => k5_matrprob(A) = k5_numbers ) ) )).
fof(t17_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_tarski(A,B),k3_enumset1(C,D,E,F,G)) )).
fof(t17_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_relset_1(A,A,k5_eqrel_1(A,B,k4_eqrel_1(A,B,C)),B) ) ) )).
fof(t17_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => m1_msualg_2(B,A,g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B))) ) ) )).
fof(t17_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ~ ( B != C & r1_xxreal_0(k12_euclid(k8_euclid(A,B,C)),k5_numbers) ) ) ) ) )).
fof(t17_euclid10,axiom,( k17_sin_cos(k7_xcmplx_0(k28_sin_cos,6)) = k7_xcmplx_0(1,2) )).
fof(t17_euclid_3,axiom,( k2_euclid_3(k4_struct_0(k15_euclid(2))) = k5_complex1 )).
fof(t17_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ( k22_rvsum_1(B,B) = k5_numbers <=> B = k5_euclid(A) ) ) ) )).
fof(t17_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => k5_euclid_5(A,B) = k4_algstr_0(k15_euclid(3),k5_euclid_5(B,A)) ) ) )).
fof(t17_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) => ( D = B | ( k22_rvsum_1(k5_algstr_0(k15_euclid(2),C,D),k5_algstr_0(k15_euclid(2),B,A)) = k5_numbers <=> k22_rvsum_1(k5_algstr_0(k15_euclid(2),C,D),k5_algstr_0(k15_euclid(2),B,D)) = k5_numbers ) ) ) ) ) ) ) )).
fof(t17_euclid_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ( ( v2_euclid_7(A) & k12_euclid(B) = 1 ) => v2_euclid_7(k2_xboole_0(A,k1_tarski(B))) ) ) )).
fof(t17_euclid_8,axiom,( k5_euclid_8(k3_euclid_8,k4_euclid_8) = k2_euclid_8 )).
fof(t17_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ( A != k5_numbers => r1_tarski(k4_euclid_9(A,C,k7_xcmplx_0(B,k3_square_1(A))),k8_metric_1(k14_euclid(A),C,B)) ) ) ) ) )).
fof(t17_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) => k7_euclid(A,k7_euclid(A,k7_euclid(A,B,C),D),k7_euclid(A,k7_euclid(A,E,F),G)) = k7_euclid(A,k7_euclid(A,k7_euclid(A,B,E),k7_euclid(A,C,F)),k7_euclid(A,D,G)) ) ) ) ) ) ) ) )).
fof(t17_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r5_analmetr(A,B,C,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r4_analmetr(A,B,E,B,F) & r4_analmetr(A,C,E,D,F) ) ) ) ) ) ) ) ) )).
fof(t17_euler_1,axiom,( k1_euler_1(1) = 1 )).
fof(t17_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) => ( A = k5_numbers | B = k5_numbers | ! [C] : ( v7_ordinal1(C) => r1_int_2(k1_newton(A,C),B) ) ) ) ) ) )).
fof(t17_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v3_exchsort(A,k2_exchsort(A)) ) )).
fof(t17_extens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( m3_pboole(C,u1_struct_0(A),D) => m1_msualg_2(k12_msualg_2(A,B,C),A,k12_msualg_2(A,B,D)) ) ) ) ) ) )).
fof(t17_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( v7_ordinal1(E) => ( r1_extpro_1(A,B,C,D) => ( k6_extpro_1(A,B,C,D) = k5_extpro_1(A,B,C,D,E) <=> r1_compos_1(B,C,k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E))) ) ) ) ) ) ) ) )).
fof(t17_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ~ ( k3_extreal1(A) = k2_xxreal_3(A) & A != k5_numbers & r1_xxreal_0(k5_numbers,A) ) ) )).
fof(t17_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( r1_facirc_1(A,B,C,D) => ! [E] : ( v7_ordinal1(E) => r1_facirc_1(A,B,k5_facirc_1(A,B,C,E),D) ) ) ) ) ) )).
fof(t17_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k14_facirc_1(A,B,C)) = k1_enumset1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) )).
fof(t17_fcont_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,k1_seq_4(A))) ) ) )).
fof(t17_fcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( v2_funct_1(C) & r1_tarski(k1_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) & r1_xxreal_0(B,A) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) & ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) ) ) ) ) )).
fof(t17_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(k2_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A))) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A))),k7_relset_1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A)))) ) ) ) ) ) )).
fof(t17_fdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,A),k1_partfun2(k1_numbers,A)) ) => ( r2_fdiff_1(B,A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(B,A),C) = 1 ) ) ) ) ) ) )).
fof(t17_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k18_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k18_sin_cos),A),B) = k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos,B),B),k3_xcmplx_0(k1_funct_1(k3_taylor_1,B),k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t17_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k26_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k26_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k26_sin_cos),A),B) = k7_xcmplx_0(1,k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k1_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t17_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_fdiff_1(B,A) & r2_fdiff_1(C,A) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_1(B,A),k2_fdiff_1(C,A))) ) ) ) ) ) )).
fof(t17_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r3_fdiff_3(A,C) & r3_fdiff_3(B,C) ) => ( r3_fdiff_3(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) & k2_fdiff_3(C,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)) = k6_xcmplx_0(k2_fdiff_3(C,A),k2_fdiff_3(C,B)) ) ) ) ) ) )).
fof(t17_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(C,E) = k1_square_1(A) ) ) & D = k1_taylor_1(2) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B),E) = k3_xcmplx_0(2,E) ) ) ) ) ) ) ) ) )).
fof(t17_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),D),k7_xcmplx_0(1,k3_power(k4_power,A))))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => ( k1_funct_1(C,E) = k4_xcmplx_0(k3_xcmplx_0(E,k3_power(k4_power,A))) & k1_funct_1(D,E) = k2_xcmplx_0(E,k7_xcmplx_0(1,k3_power(k4_power,A))) ) ) ) ) => ( r1_xxreal_0(A,k5_numbers) | A = 1 | ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),D),k7_xcmplx_0(1,k3_power(k4_power,A))),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),D),k7_xcmplx_0(1,k3_power(k4_power,A))),B),E) = k7_xcmplx_0(E,k6_prepower(A,E)) ) ) ) ) ) ) ) ) ) )).
fof(t17_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_sin_cos6))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_sin_cos6),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_sin_cos6),A),B) = k6_xcmplx_0(k1_funct_1(k3_sin_cos6,B),k7_xcmplx_0(B,k3_square_1(k6_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) )).
fof(t17_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k27_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t17_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k22_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k22_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k2_fdiff_9,B)),k1_funct_1(k18_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t17_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_tarski(k8_ff_siec(A),k2_zfmisc_1(k2_net_1(A),k2_net_1(A))) & r1_tarski(k7_ff_siec(A),k2_zfmisc_1(k2_net_1(A),k2_net_1(A))) ) ) )).
fof(t17_fib_num2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( r1_xxreal_0(1,A) => ( v1_relat_1(k1_tarski(k4_tarski(A,B))) & v1_funct_1(k1_tarski(k4_tarski(A,B))) & v2_finseq_1(k1_tarski(k4_tarski(A,B))) ) ) ) )).
fof(t17_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(A,k1_fib_num3(A)) ) )).
fof(t17_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k2_power(k2_fib_num,A),k3_square_1(5)),k7_xcmplx_0(1,2)),k5_numbers) & ~ r1_xxreal_0(1,k2_xcmplx_0(k7_xcmplx_0(k2_power(k2_fib_num,A),k3_square_1(5)),k7_xcmplx_0(1,2))) ) ) )).
fof(t17_filerec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( k3_finseq_1(A) = k5_numbers => k3_finseq_5(A) = A ) ) )).
fof(t17_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => k1_filter_0(A) = k2_filter_0(A,k5_lattices(A)) ) ) )).
fof(t17_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_filter_0(A,k4_lattices(A,B,C),D) = k4_filter_0(A,B,k4_filter_0(A,C,D)) ) ) ) ) )).
fof(t17_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_lattice2(A))) => ( k2_filter_2(A,k1_filter_2(A,B)) = B & k1_filter_2(A,k2_filter_2(A,C)) = C ) ) ) ) )).
fof(t17_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_subset_1(u1_struct_0(A),k9_fin_topo(A,k3_subset_1(u1_struct_0(A),B))) = k8_fin_topo(A,B) ) ) )).
fof(t17_finance2,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( ( A = 1 & B = k4_xcmplx_0(1) ) => k1_finsub_1(k1_zfmisc_1(k1_numbers),k1_prob_1(k1_numbers,k7_finance2(A)),k1_prob_1(k1_numbers,k7_finance2(B))) = k3_numbers ) ) ) )).
fof(t17_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_xxreal_0(A,k3_finseq_1(B)) & C = k5_relat_1(B,k1_finseq_1(A)) ) => ( k3_finseq_1(C) = A & k4_finseq_1(C) = k1_finseq_1(A) ) ) ) ) ) )).
fof(t17_finseq_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( k7_finseq_1(C,k9_finseq_1(A)) = k7_finseq_1(D,k9_finseq_1(B)) => ( C = D & A = B ) ) ) ) )).
fof(t17_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( k2_finseq_1(A) = k2_finseq_1(k2_xcmplx_0(A,B)) => B = k5_numbers ) ) ) )).
fof(t17_finseq_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( k7_partfun1(A,k2_finseq_4(A,B,C),1) = B & k7_partfun1(A,k2_finseq_4(A,B,C),2) = C ) ) ) ) )).
fof(t17_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k3_finseq_1(k16_finseq_1(B,A)),B) ) ) )).
fof(t17_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( r2_finseq_4(k7_finseq_1(A,B),C) & r2_tarski(C,k10_xtuple_0(A)) ) => r2_finseq_4(A,C) ) ) ) )).
fof(t17_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k1_finseq_7(A,k3_finseq_4(A,B,C,D),3,E) = k3_finseq_4(A,B,C,E) ) ) ) ) ) )).
fof(t17_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_finseq_8(A,B) <=> k3_finseq_1(k3_finseq_8(A,k2_rfinseq(A,1,B),B)) = k5_numbers ) ) ) )).
fof(t17_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,G,k5_finseq_2(A,F,D),k5_finseq_2(B,F,E)),k5_finseq_2(C,F,k2_binop_1(A,B,C,G,D,E))) ) ) ) ) ) ) ) )).
fof(t17_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => k1_finsop_1(A,k5_finseq_2(A,2,B),C) = k4_binop_1(A,C,B,B) ) ) ) )).
fof(t17_finsub_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_finset_1(A) => m1_subset_1(B,k5_finsub_1(A)) ) ) )).
fof(t17_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k11_fin_topo(A,C)) <=> ( k4_fintopo2(A,B,C) = k7_margrel1 & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k1_fintopo2(A,B,D,C) = k7_margrel1 & k5_fintopo2(A,B,D) = k6_margrel1 ) ) ) ) ) ) )).
fof(t17_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => k3_fintopo3(A,k4_subset_1(u1_struct_0(A),B,C),D) = k4_subset_1(u1_struct_0(A),k3_fintopo3(A,B,D),k3_fintopo3(A,C,D)) ) ) ) ) )).
fof(t17_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v4_fin_topo(C,A) & r2_fintopo4(A,B,E,k5_numbers) & D = k7_relset_1(u1_struct_0(A),u1_struct_0(B),E,C) ) => v4_fin_topo(D,B) ) ) ) ) ) ) )).
fof(t17_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_fin_topo(A) => ( v4_fin_topo(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B = k4_subset_1(u1_struct_0(A),C,D) & r1_xboole_0(C,D) & r1_fintopo4(A,C,D) & C != k1_struct_0(A) & D != k1_struct_0(A) ) ) ) ) ) ) ) )).
fof(t17_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k3_catalan2(A))) => ( ( r1_tarski(B,D) & r1_tarski(C,E) ) => r1_tarski(k6_flang_1(A,B,C),k6_flang_1(A,D,E)) ) ) ) ) ) )).
fof(t17_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(k2_flang_1(A),B) => k8_flang_1(A,k7_flang_1(A,B,C)) = k7_flang_1(A,k8_flang_1(A,B),C) ) ) ) )).
fof(t17_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,k1_flang_3(A,B,C),k8_flang_1(A,B)) = k1_flang_3(A,B,C) ) ) )).
fof(t17_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( r1_tarski(k10_xtuple_0(A),k9_xtuple_0(A)) => k18_finseq_1(A) = k3_tarski(a_1_0_fomodel0(A)) ) ) )).
fof(t17_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v15_fomodel1(B,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B) != k18_fomodel1(A) => v5_relat_1(B,k37_fomodel1(A)) ) ) ) )).
fof(t17_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel2(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( k29_fomodel2(A,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D)) = k2_xcmplx_0(1,k4_xxreal_0(k29_fomodel2(A,C),k29_fomodel2(A,D))) & k29_fomodel2(A,k42_fomodel1(A,k43_fomodel1(A,B),C)) = k1_nat_1(k29_fomodel2(A,C),1) ) ) ) ) ) )).
fof(t17_fomodel3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( ( ~ v6_struct_0(D) & v11_fomodel1(D) & l1_fomodel1(D) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(C),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(C,B)) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(D),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(D,B)) => ( ( v16_fomodel1(D,C) & r1_tarski(A,k30_fomodel2(C)) & k5_relat_1(E,k37_fomodel1(C)) = k5_relat_1(F,k37_fomodel1(C)) ) => ( v10_fomodel2(A,B,C,E) <=> v10_fomodel2(A,B,D,F) ) ) ) ) ) ) ) )).
fof(t17_fomodel4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(C)),k9_setfam_1(k1_fomodel4(C))))) => ! [E] : ( v4_funct_1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k40_fomodel2(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(C)))) ) => ( ( v7_fomodel4(D,C) & r2_tarski(k25_fomodel4(C),D) & r2_tarski(k35_fomodel4(C),D) & r2_tarski(k26_fomodel4(C),D) & r2_tarski(k32_fomodel4(C),D) ) => ( v1_finset_1(k7_subset_1(k15_fomodel1(C),k16_fomodel1(C),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(C)),E,k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0)))))) | v10_fomodel4(E,C,D) | ( r1_tarski(k8_nat_1(k9_setfam_1(k2_xboole_0(E,k30_fomodel2(C))),k44_fomodel4(E,C,D,F),A),k8_nat_1(k9_setfam_1(k2_xboole_0(E,k30_fomodel2(C))),k44_fomodel4(E,C,D,F),k2_xcmplx_0(A,B))) & ~ v1_finset_1(k7_subset_1(k15_fomodel1(C),k16_fomodel1(C),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(C)),k8_nat_1(k9_setfam_1(k2_xboole_0(E,k30_fomodel2(C))),k44_fomodel4(E,C,D,F),B),k6_subset_1(k3_finseq_2(k1_fomodel1(C)),k1_tarski(k1_xboole_0)))))) & ~ v10_fomodel4(k8_nat_1(k9_setfam_1(k2_xboole_0(E,k30_fomodel2(C))),k44_fomodel4(E,C,D,F),B),C,D) ) ) ) ) ) ) ) ) ) )).
fof(t17_frechet,axiom,( ! [A] : ! [B] : ! [C] : ( ~ r2_tarski(C,A) => k8_relat_1(k1_funct_4(k6_partfun1(A),k7_funcop_1(B,C)),k1_tarski(C)) = B ) )).
fof(t17_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => k1_frechet2(A,k1_struct_0(A)) = k1_xboole_0 ) )).
fof(t17_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => k11_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k6_fscirc_1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),F),k9_margrel1(F,G)),k9_margrel1(k8_margrel1(E),G)) ) ) ) ) ) ) ) ) )).
fof(t17_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k8_fscirc_1(A,B,C)) = k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),k9_facirc_1(A,B,C,k1_facirc_1)),k1_enumset1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp))),k1_tarski(k6_fscirc_1(A,B,C))) )).
fof(t17_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( ~ v2_struct_0(E) & l2_fsm_1(E,A,B) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( G = k3_funct_2(k2_zfmisc_1(u1_struct_0(E),A),u1_struct_0(E),u1_fsm_1(A,E),k1_domain_1(u1_struct_0(E),A,F,C)) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k2_finseq_1(k1_nat_1(k3_finseq_1(D),1))) => k1_funct_1(k2_fsm_1(A,E,F,k8_finseq_1(A,k12_finseq_1(A,C),D)),k1_nat_1(H,1)) = k1_funct_1(k2_fsm_1(A,E,G,D),H) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_tarski(D,E),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_tarski(D,E),B))) ) => ! [G] : ( ( ~ v8_ordinal1(G) & m1_subset_1(G,k4_ordinal1) ) => ( r1_xxreal_0(G,k1_nat_1(k3_finseq_1(C),1)) => ( r1_xxreal_0(G,1) | k1_funct_1(k2_fsm_1(A,k1_fsm_2(A,B,D,E,F),u2_fsm_1(A,k1_fsm_2(A,B,D,E,F)),C),G) = E ) ) ) ) ) ) ) )).
fof(t17_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_3(D,A,C) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) => ( r2_tarski(B,k5_fsm_3(A,C,D,E)) <=> ~ r1_xboole_0(k3_rewrite3(A,C,D,B,E),u2_fsm_3(A,C,D)) ) ) ) ) ) ) )).
fof(t17_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ! [E] : ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ! [H] : ( m1_subset_1(H,k5_margrel1) => ! [I] : ( m1_subset_1(I,k5_margrel1) => ( ( G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) ) => ( k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),k9_ftacell1(A,B,C,D,E)) = k1_binarith(k1_binarith(k9_margrel1(G,k8_margrel1(H)),k9_margrel1(k8_margrel1(H),I)),k9_margrel1(I,G)) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),k10_ftacell1(A,B,C,D,E)) = k8_margrel1(k2_binarith(k2_binarith(G,k8_margrel1(H)),I)) ) ) ) ) ) ) ) ) ) )).
fof(t17_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k3_relat_1(k2_funcop_1(B,C),A) = k2_funcop_1(B,k1_funct_1(A,C)) ) ) )).
fof(t17_funcsdom,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( m2_funct_2(C,B,k1_numbers,k9_funct_2(B,k1_numbers)) & ? [D] : ( m2_funct_2(D,B,k1_numbers,k9_funct_2(B,k1_numbers)) & ! [E] : ( r2_tarski(E,B) => ( ( E = A => k1_funct_1(C,E) = 1 ) & ( E != A => k1_funct_1(C,E) = k5_numbers ) ) ) & ! [E] : ( r2_tarski(E,B) => ( ( E = A => k1_funct_1(D,E) = k5_numbers ) & ( E != A => k1_funct_1(D,E) = 1 ) ) ) ) ) ) )).
fof(t17_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( B = k4_relat_1(A) <=> ( k9_xtuple_0(B) = A & ! [C] : ( r2_hidden(C,A) => k1_funct_1(B,C) = C ) ) ) ) )).
fof(t17_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( r2_relset_1(A,B,k4_relset_1(A,A,A,B,k6_partfun1(A),C),C) & r2_relset_1(A,B,k4_relset_1(A,B,B,B,C,k6_partfun1(B)),C) ) ) )).
fof(t17_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,k1_zfmisc_1(k10_xtuple_0(B))) => k8_relat_1(B,k3_tarski(A)) = k3_tarski(k8_relat_1(k1_funct_3(B),A)) ) ) )).
fof(t17_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k10_xtuple_0(k1_funct_4(A,B)),k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B))) ) ) )).
fof(t17_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k9_xtuple_0(k9_xtuple_0(A)) = k10_xtuple_0(k9_xtuple_0(k2_funct_4(A))) & k10_xtuple_0(k9_xtuple_0(A)) = k9_xtuple_0(k9_xtuple_0(k2_funct_4(A))) ) ) )).
fof(t17_funct_6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( ( r1_tarski(k10_xtuple_0(F),k4_partfun1(D,E)) & r1_tarski(k9_xtuple_0(F),A) ) => ( ( ~ r2_tarski(k2_funct_5(F),k4_partfun1(k2_zfmisc_1(A,B),C)) & ~ r2_tarski(k4_funct_5(F),k4_partfun1(k2_zfmisc_1(B,A),C)) ) | r2_tarski(F,k4_partfun1(A,k4_partfun1(B,C))) ) ) ) )).
fof(t17_funct_7,axiom,( k3_finseq_2(k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(t17_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_funct_8(A,k1_numbers,k1_numbers,B) => r1_funct_8(A,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,B)) ) ) ) )).
fof(t17_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k9_xtuple_0(B)) => ( r2_tarski(k2_xcmplx_0(C,A),k9_xtuple_0(B)) & r2_tarski(k6_xcmplx_0(C,A),k9_xtuple_0(B)) & k1_funct_1(B,k2_xcmplx_0(C,A)) = k1_funct_1(B,k6_xcmplx_0(C,A)) ) ) ) => ( A = k5_numbers | ( v1_funct_9(B,k3_xcmplx_0(2,A)) & v2_funct_9(B) ) ) ) ) ) )).
fof(t17_functor0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,C) & v1_funct_1(G) & v1_partfun1(G,C) ) => ! [H] : ( m1_functor0(H,B,C,E,F,G) => m1_functor0(k3_relat_1(D,H),A,C,k1_partfun1(A,B,B,C,D,E),k3_relat_1(D,F),G) ) ) ) ) ) ) ) )).
fof(t17_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => k15_functor0(A,A,k12_functor0(A)) = k12_functor0(A) ) )).
fof(t17_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,A,B) & m2_functor0(F,A,B) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ! [H] : ( ( v15_functor0(H,C,D) & m2_functor0(H,C,D) ) => ! [I] : ( m1_functor2(I,A,B,E,F) => ( r1_functor2(A,B,E,F) => r8_pboole(u1_struct_0(A),k5_functor3(A,B,D,E,F,I,k1_functor3(B,C,D,G,H)),k5_functor3(A,C,D,k1_functor3(A,B,C,E,G),k1_functor3(A,B,C,F,G),k5_functor3(A,B,C,E,F,I,G),H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k2_fuznum_1(A,k5_fuzzy_1(A)) = A ) )).
fof(t17_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_fuzzy_1(k1_fuzzy_1(A,B,C),B) & r1_fuzzy_1(B,k2_fuzzy_1(A,B,C)) ) ) ) ) )).
fof(t17_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k6_fuzzy_1(A,B,C),k1_fuzzy_2(A,k2_fuzzy_1(A,B,C),k1_fuzzy_1(A,B,C))) ) ) ) )).
fof(t17_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(C,A),k1_numbers,k1_fuzzy_4(C,A,k3_fuzzy_4(A,B,C,D,E)),k3_fuzzy_4(C,B,A,k1_fuzzy_4(C,B,E),k1_fuzzy_4(B,A,D))) ) ) ) ) ) )).
fof(t17_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => k3_funct_2(u1_struct_0(A),k6_numbers,B,k5_struct_0(A)) = k5_numbers ) ) ) )).
fof(t17_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(k3_fvsum_1(A,B,C))) & D = k1_funct_1(B,F) & E = k1_funct_1(C,F) ) => k1_funct_1(k3_fvsum_1(A,B,C),F) = k1_algstr_0(A,D,E) ) ) ) ) ) ) ) )).
fof(t17_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( ~ v1_xboole_0(k11_gate_1(A,B,C)) & ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) & ~ ( ~ v1_xboole_0(C) & ~ v1_xboole_0(A) ) ) & ~ ( ~ ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) & ~ ( ~ v1_xboole_0(C) & ~ v1_xboole_0(A) ) ) & v1_xboole_0(k11_gate_1(A,B,C)) ) ) )).
fof(t17_gaussint,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ec_pf_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => k3_rlvect_1(A,C,D) = k3_rlvect_1(B,E,F) ) ) ) ) ) ) ) )).
fof(t17_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k8_group_1(A,B,C) = B => ( B = k4_struct_0(A) | C = k5_struct_0(A) ) ) ) ) ) )).
fof(t17_genealg1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( m1_genealg1(B,A) => ! [C] : ( m1_genealg1(C,A) => k9_genealg1(A,B,C,k5_numbers,k5_numbers,k5_numbers) = C ) ) ) )).
fof(t17_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_geomtrap(A,D,E,B,C,C,B) => B = C ) ) ) ) ) ) )).
fof(t17_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k3_msafree2(k7_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k3_msafree2(k7_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k3_facirc_1),k3_msafree2(k7_gfacirc1(A,B,C))) & r2_tarski(k9_gfacirc1(A,B,C),k3_msafree2(k7_gfacirc1(A,B,C))) ) )).
fof(t17_gfacirc2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( C = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) => ( k5_gfacirc2(1,A,B) = k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k25_gfacirc1(k1_funct_1(A,1),k1_funct_1(B,1),C)) & k6_gfacirc2(1,A,B) = k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k25_gfacirc1(k1_funct_1(A,1),k1_funct_1(B,1),C),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k26_gfacirc1(k1_funct_1(A,1),k1_funct_1(B,1),C)) & k7_gfacirc2(1,A,B) = k21_gfacirc1(k1_funct_1(A,1),k1_funct_1(B,1),C) ) ) ) ) )).
fof(t17_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( r1_glib_000(A,E,F,D) => ( ( ~ ( r2_hidden(E,B) & r2_hidden(F,C) ) & ~ ( r2_hidden(E,C) & r2_hidden(F,B) ) ) | r3_glib_000(A,B,C,D) ) ) ) )).
fof(t17_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_001(A,C,D,B) <=> ( k1_funct_1(B,1) = C & k1_funct_1(B,k3_finseq_1(B)) = D ) ) ) ) )).
fof(t17_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(B)) => ( ( r5_glib_000(A,B) & C = D ) => k1_glib_002(A,C) = k1_glib_002(B,D) ) ) ) ) ) )).
fof(t17_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( r2_tarski(C,k28_glib_000(A,k4_glib_001(A,B))) => k8_glib_003(A,k10_glib_001(A,B,C)) = k7_finseq_1(k8_glib_003(A,B),k9_finseq_1(k1_funct_1(k5_glib_003(A),C))) ) ) ) )).
fof(t17_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k8_glib_004(A,B))) = k6_domain_1(k6_glib_000(A),B) ) ) )).
fof(t17_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( B != C => v13_glib_000(k12_glib_005(A,B,C)) ) ) ) ) )).
fof(t17_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( k1_matrix_0(C) = k1_nat_1(A,1) & r2_tarski(B,k2_finseq_1(A)) ) => ( r1_xxreal_0(A,k5_numbers) | ( k8_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(1,u1_struct_0(k15_euclid(2)),C),B) = k8_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(B,1)) & r2_tarski(B,k2_finseq_1(k1_matrix_0(k16_matrix_0(1,u1_struct_0(k15_euclid(2)),C)))) & r2_tarski(k1_nat_1(B,1),k2_finseq_1(k1_matrix_0(C))) ) ) ) ) ) ) )).
fof(t17_goboard2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k2_goboard1(B),A),k1_funct_1(k2_goboard1(B),C)) ) ) ) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,A),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),1))) ) ) ) )).
fof(t17_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v2_goboard1(C) & v3_goboard1(C) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))),k2_goboard5(C,B)) ) ) ) ) )).
fof(t17_goboard6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k1_matrix_0(B),A) | k1_tops_1(k15_euclid(2),k2_goboard5(B,A)) = a_2_1_goboard6(A,B) ) ) ) ) )).
fof(t17_goboard7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B)) ) ) ) ) )).
fof(t17_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),2,k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),2,k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k5_algstr_0(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,1))),k7_xcmplx_0(1,2)),k19_euclid(1,k5_numbers)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),2,k1_nat_1(C,1))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) )).
fof(t17_goboard9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(B,k1_matrix_0(C)) ) => v1_convex1(k1_tops_1(k15_euclid(2),k3_goboard5(C,A,B)),k15_euclid(2)) ) ) ) ) )).
fof(t17_gobrd11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => v4_pre_topc(k1_goboard5(B,A),k15_euclid(2)) ) ) )).
fof(t17_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( ( ~ v3_relat_1(F) & v1_matrix_0(F) & v1_goboard1(F) & v2_goboard1(F) & v3_goboard1(F) & v4_goboard1(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(E),k9_matrix_0(F)) & r2_hidden(k4_tarski(A,C),k2_matrix_0(E)) & r2_hidden(k4_tarski(B,D),k2_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,D) ) => r1_tarski(k3_goboard5(F,B,D),k3_goboard5(E,A,C)) ) ) ) ) ) ) ) )).
fof(t17_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k2_goboard9(A)) <=> ( ~ r2_tarski(B,k3_topreal1(2,A)) & ~ r2_tarski(B,k3_goboard9(A)) ) ) ) ) )).
fof(t17_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m1_henmodel(C,A,B) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( v1_goedelcp(B,A) & v2_goedelcp(B,A) ) => ( r1_valuat_1(A,k1_henmodel(A),D,C,k3_henmodel(A)) <=> r1_henmodel(A,B,D) ) ) ) ) ) ) )).
fof(t17_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( v1_int_1(D) & C = k5_group_1(A,B,D) ) ) ) ) ) )).
fof(t17_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & v1_gr_cy_1(B) & l3_algstr_0(B) ) => ( k7_group_1(B) = k7_group_1(A) => r2_group_6(B,A) ) ) ) )).
fof(t17_gr_cy_3,axiom,( k1_gr_cy_3(1) = 1 )).
fof(t17_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( ( r4_graph_1(A,B) & r4_graph_1(B,C) ) => r4_graph_1(A,C) ) ) ) ) )).
fof(t17_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_tarski(k10_xtuple_0(k3_graph_2(A,B)),k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B))) ) ) )).
fof(t17_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ! [C] : ~ ( r2_tarski(B,u4_struct_0(A)) & r2_tarski(B,C) & v1_xboole_0(k1_graph_3(A,C)) ) ) )).
fof(t17_graph_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( v7_graph_1(C,B) & v3_graph_2(C,B) & m2_graph_1(C,B) ) => ( v7_graph_1(k2_partfun1(k4_ordinal1,u4_struct_0(B),C,k2_finseq_1(A)),B) & v3_graph_2(k2_partfun1(k4_ordinal1,u4_struct_0(B),C,k2_finseq_1(A)),B) & m2_graph_1(k2_partfun1(k4_ordinal1,u4_struct_0(B),C,k2_finseq_1(A)),B) ) ) ) ) )).
fof(t17_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & v1_graph_4(B,A) & m2_graph_1(B,A) ) => v2_funct_1(B) ) ) )).
fof(t17_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ! [D] : ( v1_xreal_0(D) => ( r2_tarski(A,k4_finseq_1(C)) => ( A = B | k1_funct_1(k2_graphsp(A,B,C,D),A) = B ) ) ) ) ) ) )).
fof(t17_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( m1_grcat_1(D,B,C) => ! [E] : ( m1_grcat_1(E,A,B) => m1_grcat_1(k13_grcat_1(D,E),A,C) ) ) ) ) ) )).
fof(t17_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v2_funct_1(A) & v2_funct_1(B) & C = k2_xboole_0(A,B) & r1_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)) ) => v2_funct_1(C) ) ) ) ) )).
fof(t17_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r1_tarski(k2_grnilp_1(A),k1_group_3(A)) ) )).
fof(t17_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(E,k7_ideal_1(k12_polynom1(A,C),D)) => r7_polyred(A,B,C,E,D) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(E,k7_ideal_1(k12_polynom1(A,C),D)) => r10_polyred(A,B,C,E,D) ) ) ) ) ) ) ) )).
fof(t17_groeb_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r2_tarski(E,D) & r2_tarski(F,D) ) => ( E = F | ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(G,A,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(H,A,C) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r8_pboole(k15_pre_poly(A),k5_termord(A,B,C,k11_polynom1(A,C,G,E)),k5_termord(A,B,C,k11_polynom1(A,C,H,F))) => r1_rewrite1(k3_polyred(A,B,C,D),k7_polynom1(A,C,k11_polynom1(A,C,G,E),k11_polynom1(A,C,H,F)),k8_polynom1(A,C)) ) ) ) ) ) ) ) => r1_groeb_1(A,B,C,D) ) ) ) ) ) )).
fof(t17_groeb_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k15_pre_poly(A))) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,k2_groeb_3(A,B,C,D)),k3_polynom1(k15_pre_poly(A),B,C)) ) ) ) )).
fof(t17_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_1(A,k6_algstr_0(A,C,B)) = k6_algstr_0(A,k2_group_1(A,B),k2_group_1(A,C)) ) ) ) )).
fof(t17_group_10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_card_1(B) = k1_card_1(k5_group_2(A,C,B)) ) ) ) )).
fof(t17_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => r1_tarski(B,k2_group_11(A,B,C)) ) ) ) )).
fof(t17_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k4_card_3(A),B),k4_card_3(k7_finseq_1(A,k9_finseq_1(B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_card_3(A),B),k4_card_3(k7_finseq_1(A,k9_finseq_1(B)))))) & v2_funct_1(C) & v2_funct_2(C,k4_card_3(k7_finseq_1(A,k9_finseq_1(B)))) & ! [D] : ! [E] : ~ ( r2_tarski(D,k4_card_3(A)) & r2_tarski(E,B) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ~ ( D = F & k9_finseq_1(E) = G & k1_binop_1(C,D,E) = k7_finseq_1(F,G) ) ) ) ) ) ) ) )).
fof(t17_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => k7_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B))) = k2_nat_1(k7_group_1(A),k7_group_1(B)) ) ) )).
fof(t17_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k7_group_1(A) = k1_newton(B,C) & D != k1_group_1(A) & ! [E] : ( v7_ordinal1(E) => k6_group_1(A,D) != k1_newton(B,k1_nat_1(E,1)) ) ) ) ) ) ) )).
fof(t17_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_group_7(A,B))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_19(A,B,D))) => ( C = k1_funct_7(k1_group_1(k2_group_7(A,B)),D,E) => r1_tarski(k3_group_19(A,B,C),k1_tarski(D)) ) ) ) ) ) ) )).
fof(t17_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B != k1_xboole_0 => ( k2_group_2(A,k2_subset_1(u1_struct_0(A)),B) = u1_struct_0(A) & k2_group_2(A,B,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A) ) ) ) ) )).
fof(t17_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_group_3(A,k1_group_1(A),B) = k1_group_1(A) ) ) )).
fof(t17_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) & k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => k1_funct_1(B,E) = k6_algstr_0(A,k7_partfun1(u1_struct_0(A),C,E),k7_partfun1(u1_struct_0(A),D,E)) ) ) ) => k3_group_4(A,B) = k6_algstr_0(A,k3_group_4(A,C),k3_group_4(A,D)) ) ) ) ) ) )).
fof(t17_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_5(A,B,C) = k6_algstr_0(A,k2_group_1(A,k6_algstr_0(A,C,B)),k6_algstr_0(A,B,C)) ) ) ) )).
fof(t17_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => u1_struct_0(k5_group_6(A,B)) = k15_group_2(A,B) ) ) )).
fof(t17_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & l3_algstr_0(B) ) => ( v1_relat_1(k10_finseq_1(A,B)) & v4_relat_1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_funct_1(k10_finseq_1(A,B)) & v1_partfun1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_group_7(k10_finseq_1(A,B)) & v2_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) ) ) )).
fof(t17_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ( r2_tarski(C,k11_group_2(A,E,k14_group_2(A,D,B))) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & C = k6_algstr_0(A,k6_algstr_0(A,F,B),G) & r1_struct_0(D,F) & r1_struct_0(E,G) ) ) ) ) ) ) ) ) )).
fof(t17_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ~ ( k2_group_2(B,k15_group_9(A,B,C),k15_group_9(A,B,D)) = k2_group_2(B,k15_group_9(A,B,D),k15_group_9(A,B,C)) & ! [E] : ( ( v2_group_9(E,A) & m1_group_9(E,A,B) ) => u1_struct_0(E) != k2_group_2(B,k15_group_9(A,B,C),k15_group_9(A,B,D)) ) ) ) ) ) )).
fof(t17_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => v1_groupp_1(C,A,B) ) => v2_group_10(B,A) ) ) ) )).
fof(t17_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_gtarski1(A,B,B,C) ) ) ) )).
fof(t17_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [E] : ( m1_rlsub_1(E,k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))) => ( ( B = D & C = E ) => ( r1_struct_0(C,B) | ! [F] : ( m1_subset_1(F,u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))))) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),F,E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(C),u1_struct_0(A),G,k1_rlvect_1(A,B,I)) => k4_rlsub_2(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k1_rlvect_1(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),F,H),E,k1_rlvect_3(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B))),k6_domain_1(u1_struct_0(k1_rlsub_2(A,C,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),B)))),D))) = k1_domain_1(u1_struct_0(C),u1_struct_0(A),k1_rlvect_1(C,G,H),k1_rlvect_1(A,B,k3_xcmplx_0(H,I))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k6_hahnban1(A,B,C,k3_hahnban1(A,B,D,E)),k3_hahnban1(A,B,k6_hahnban1(A,B,C,D),k6_hahnban1(A,B,C,E))) ) ) ) ) ) )).
fof(t17_hallmar1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k1_zfmisc_1(A)) ) => ~ ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => k4_card_1(k1_funct_1(B,C)) = 1 ) ) & v1_hallmar1(B,A) & ! [C] : ~ r1_hallmar1(A,B,C) ) ) ) )).
fof(t17_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_topmetr(A,C)))) => ( ( B = D & v6_tbsp_1(D,k1_topmetr(A,C)) ) => v6_tbsp_1(B,A) ) ) ) ) ) )).
fof(t17_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v4_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( ( v4_glib_001(C,A) & m3_glib_001(C,A) ) => ( ( k4_glib_001(A,B) = k3_glib_001(A,C) & r1_xboole_0(k14_glib_001(A,B),k14_glib_001(A,C)) ) => v4_glib_001(k7_glib_001(A,B,C),A) ) ) ) ) )).
fof(t17_henmodel,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ! [D] : ( ( v5_relat_1(D,k3_qc_lang1(A)) & v3_card_1(D,B) & m2_finseq_1(D,k2_qc_lang1(A)) ) => ! [E] : ( ( v1_henmodel(E,A) & m1_subset_1(E,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [F] : ( m1_henmodel(F,A,E) => ( r1_valuat_1(A,k1_henmodel(A),k4_cqc_lang(B,A,C,D),F,k3_henmodel(A)) <=> r1_henmodel(A,E,k4_cqc_lang(B,A,C,D)) ) ) ) ) ) ) ) )).
fof(t17_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),k1_hermitan(A,k7_hahnban1(k1_complfld,A)),k7_hahnban1(k1_complfld,A)) ) )).
fof(t17_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & v6_anproj_2(A) & v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,J) & r1_collsp(A,E,F,J) & r1_collsp(A,C,D,H) & r1_collsp(A,F,G,H) & r1_collsp(A,B,D,I) & r1_collsp(A,E,G,I) & r1_collsp(A,K,B,E) & r1_collsp(A,K,C,F) & r1_collsp(A,K,D,G) ) => ( K = E | B = E | K = F | C = F | K = G | D = G | r1_collsp(A,K,B,C) | r1_collsp(A,K,B,D) | r1_collsp(A,K,C,D) | r1_collsp(A,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_heyting1,axiom,( ! [A] : m2_subset_1(k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)),k5_finsub_1(k7_normform(A)),k8_normform(A)) )).
fof(t17_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( r1_tarski(D,C) => m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) ) ) ) )).
fof(t17_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => r2_xboole_0(k3_heyting3(A,B),k3_heyting3(k1_nat_1(A,1),B)) ) ) )).
fof(t17_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_taylor_1(D,A,C) & r1_taylor_1(E,A,C) & r1_xxreal_0(B,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),C),B),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(D,C),B),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(E,C),B))) ) ) ) ) ) ) )).
fof(t17_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k13_polynom3(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r2_tarski(C,k4_hilbasis(A,B)) & r2_tarski(D,B) ) => ( r2_tarski(C,B) & r1_xxreal_0(k1_algseq_1(A,C),k1_algseq_1(A,D)) ) ) ) ) ) ) )).
fof(t17_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A,B),k3_hilbert1(A,A)),k6_hilbert1) ) ) )).
fof(t17_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( A = k7_finseq_1(B,C) => A = B ) ) ) ) )).
fof(t17_hilbert3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => k1_partfun1(k2_zfmisc_1(C,D),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),B,k16_funct_3(C,D,A,B,E,F),k10_funct_3(A,B)) = k1_partfun1(k2_zfmisc_1(C,D),D,D,B,k10_funct_3(C,D),F) ) ) ) ) )).
fof(t17_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ? [C] : ( m1_trees_4(C,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) & ? [D] : ( m2_finseq_1(D,k4_ordinal1) & r1_huffman1(A,B,C,D) ) ) ) ) )).
fof(t17_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k4_polynom5(A,B,k1_algstr_0(A,C,D)),k1_normsp_1(A,k4_polynom5(A,B,C),k4_polynom5(A,B,D))) ) ) ) ) )).
fof(t17_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_abian(k2_hurwitz(A,B)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_hurwitz2(A,k1_polynom4(A,B)),k1_polynom4(A,B)) ) ) ) )).
fof(t17_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_idea_1(B,A) => ( r1_xxreal_0(k7_idea_1(B,A),k5_series_1(2,B)) & ~ r1_xxreal_0(k7_idea_1(B,A),k5_numbers) ) ) ) ) )).
fof(t17_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => r2_tarski(k5_binom(A,C,D),B) ) ) ) ) )).
fof(t17_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r1_collsp(A,B,C,D) & r1_collsp(A,E,F,D) & r1_collsp(A,B,E,G) & r1_collsp(A,C,F,G) & r1_collsp(A,B,F,H) & r1_collsp(A,C,E,H) & r1_collsp(A,G,D,H) & ~ r1_collsp(A,B,C,F) & ~ r1_collsp(A,B,C,E) & ~ r1_collsp(A,B,E,F) & ~ r1_collsp(A,C,E,F) ) ) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k3_incproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k3_incproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k3_incproj(A))) => ! [G] : ( m1_subset_1(G,u1_incsp_1(k3_incproj(A))) => ! [H] : ( m1_subset_1(H,u1_incsp_1(k3_incproj(A))) => ! [I] : ( m1_subset_1(I,u2_incsp_1(k3_incproj(A))) => ! [J] : ( m1_subset_1(J,u2_incsp_1(k3_incproj(A))) => ! [K] : ( m1_subset_1(K,u2_incsp_1(k3_incproj(A))) => ! [L] : ( m1_subset_1(L,u2_incsp_1(k3_incproj(A))) => ! [M] : ( m1_subset_1(M,u2_incsp_1(k3_incproj(A))) => ! [N] : ( m1_subset_1(N,u2_incsp_1(k3_incproj(A))) => ! [O] : ( m1_subset_1(O,u2_incsp_1(k3_incproj(A))) => ~ ( ~ r1_incsp_1(k3_incproj(A),C,I) & ~ r1_incsp_1(k3_incproj(A),D,I) & ~ r1_incsp_1(k3_incproj(A),B,J) & ~ r1_incsp_1(k3_incproj(A),E,J) & ~ r1_incsp_1(k3_incproj(A),B,K) & ~ r1_incsp_1(k3_incproj(A),D,K) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),F,B,E),I) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),F,C,D),J) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),G,C,E),K) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),G,B,D),L) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),H,B,C),M) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),H,D,E),N) & r4_incsp_1(k3_incproj(A),k7_domain_1(u1_incsp_1(k3_incproj(A)),F,G),O) & r1_incsp_1(k3_incproj(A),H,O) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ( v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A) => v4_incsp_1(k9_domain_1(u1_incsp_1(A),B,C,D,E),A) ) ) ) ) ) ) )).
fof(t17_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => m4_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),k13_index_1(A,B,C)) ) ) ) )).
fof(t17_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => ( m1_instalg1(A,B) => g1_msualg_1(u1_struct_0(A),u4_struct_0(A),u1_msualg_1(A),u2_msualg_1(A)) = g1_msualg_1(u1_struct_0(B),u4_struct_0(B),u1_msualg_1(B),u2_msualg_1(B)) ) ) ) )).
fof(t17_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ( ( r2_int_1(A,B,E) & r2_int_1(C,D,E) ) => r2_int_1(k6_xcmplx_0(A,C),k6_xcmplx_0(B,D),E) ) ) ) ) ) ) )).
fof(t17_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => m1_subset_1(k2_int_2(A,B),k4_ordinal1) ) ) )).
fof(t17_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ~ ( C != k5_numbers & ~ r1_int_1(k3_int_2(A,C),B) & ? [D] : ( v1_int_1(D) & k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A,D),B),C) = k5_numbers ) ) ) ) ) )).
fof(t17_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( ( k3_int_2(A,B) = 1 & r1_int_5(A,B) ) => ( r1_xxreal_0(B,2) | k5_int_1(k1_newton(A,k3_nat_d(k7_nat_d(B,1),2)),B) = 1 ) ) ) ) )).
fof(t17_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k3_int_2(k3_xcmplx_0(A,B),A) = k1_int_2(A) ) ) )).
fof(t17_int_7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(1,B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( k2_int_2(A,B) = k2_nat_1(D,C) & k3_int_2(D,C) = 1 & r1_int_1(D,A) & r1_int_1(C,B) & D != k5_numbers & C != k5_numbers ) ) ) ) ) ) )).
fof(t17_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_int_2(A,C) & r1_int_2(B,C) & r1_int_2(k3_pepin(A,C),k3_pepin(B,C)) ) => ( r1_xxreal_0(C,1) | k3_pepin(k3_xcmplx_0(A,B),C) = k2_nat_1(k3_pepin(A,C),k3_pepin(B,C)) ) ) ) ) ) )).
fof(t17_integr11,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( A = k1_rcomp_1(k5_numbers,k28_sin_cos) => k2_integra5(A,k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos)) = k7_xcmplx_0(k28_sin_cos,2) ) ) )).
fof(t17_integr12,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v3_rcomp_1(F) & m1_subset_1(F,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,F) & r2_relset_1(k1_numbers,k1_numbers,C,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos9),k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k41_valued_1(k1_numbers,k1_numbers,E)),A)))) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,F) => ( k1_funct_1(D,G) = 1 & k1_funct_1(E,G) = k7_xcmplx_0(G,A) & ~ r1_xxreal_0(k1_funct_1(E,G),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(E,G)) ) ) ) & F = k1_relset_1(k1_numbers,C) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,B)) ) => k2_integra5(B,C) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos9)),k2_seq_4(B)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos9)),k3_seq_4(B))) ) ) ) ) ) ) ) )).
fof(t17_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k26_sin_cos,k1_partfun2(k1_numbers,C)),k3_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1,k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos)))) & r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos))) & r1_tarski(C,k1_relset_1(k1_numbers,k26_sin_cos)) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t17_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(B,D) = k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,D),k1_funct_1(k16_sin_cos,k1_funct_1(k22_sin_cos,D))),k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k22_sin_cos,D)))) ) ) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9),k3_seq_4(A))) ) ) ) ) )).
fof(t17_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_integr15(A,B,C) & r1_integr15(A,B,D) & r1_tarski(B,k1_relset_1(k1_numbers,C)) & r1_tarski(B,k1_relset_1(k1_numbers,D)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),C,B),A) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),D,B),A) ) => ( r1_integr15(A,B,k7_integr15(A,k1_numbers,C,D)) & r1_integr15(A,B,k8_integr15(A,k1_numbers,C,D)) & k11_integr15(A,B,k7_integr15(A,k1_numbers,C,D)) = k7_euclid(A,k11_integr15(A,B,C),k11_integr15(A,B,D)) & k11_integr15(A,B,k8_integr15(A,k1_numbers,C,D)) = k8_euclid(A,k11_integr15(A,B,C),k11_integr15(A,B,D)) ) ) ) ) ) ) )).
fof(t17_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( k2_partfun1(k1_numbers,k2_numbers,B,A) = C => k7_integr16(A,B) = k6_integr16(A,C) ) ) ) ) )).
fof(t17_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( k3_integra1(C) = k5_numbers & r1_tarski(C,k1_relset_1(k1_numbers,B)) ) => ( r1_integr18(A,C,B) & k5_integr18(A,C,B) = k4_struct_0(A) ) ) ) ) ) )).
fof(t17_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( C = D => k1_nfcont_4(A,k1_numbers,C) = k1_nfcont_4(A,B,D) ) ) ) ) ) )).
fof(t17_integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_integra1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_integra1(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k1_integra1(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(B)))) ) => ! [G] : ( m2_integr18(G,A,B,C,D) => ! [H] : ( m2_integr18(H,A,B,C,E) => ~ ( ! [I] : ( v7_ordinal1(I) => ( k2_integra2(B,F,k3_xcmplx_0(2,I)) = k2_integra2(B,D,I) & k2_integra2(B,F,k1_nat_1(k3_xcmplx_0(2,I),1)) = k2_integra2(B,E,I) ) ) & ! [I] : ( m2_integr18(I,A,B,C,F) => ~ ! [J] : ( v7_ordinal1(J) => ( k2_integr18(A,B,C,F,I,k3_xcmplx_0(2,J)) = k2_integr18(A,B,C,D,G,J) & k2_integr18(A,B,C,F,I,k1_nat_1(k3_xcmplx_0(2,J),1)) = k2_integr18(A,B,C,E,H,J) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v5_rlvect_1(F) & v6_rlvect_1(F) & v7_rlvect_1(F) & v8_rlvect_1(F) & v3_normsp_0(F) & v4_normsp_0(F) & v2_normsp_1(F) & v3_lopban_1(F) & l1_normsp_1(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(F)))) ) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) ) => ( r1_integr18(F,k3_integra5(C,D),k4_vfunct_1(k1_numbers,F,G,E)) & v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(F),k4_vfunct_1(k1_numbers,F,G,E),k3_integra5(C,D)),F,k1_numbers) ) ) ) ) ) ) ) ) ) )).
fof(t17_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => k1_rvsum_1(k7_rfunct_1(B,B)) = k1_seq_4(1) ) ) )).
fof(t17_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => k1_rvsum_1(k26_valued_1(B,k1_numbers,C,A)) = k1_integra2(k1_rvsum_1(C),A) ) ) ) )).
fof(t17_integra3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( v5_valued_0(A) & r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & r2_tarski(D,k4_finseq_1(A)) & r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,D)) & r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(A,C)) ) => r2_tarski(k1_funct_1(A,D),k1_rvsum_1(k3_finseq_6(k1_numbers,A,B,C))) ) ) ) ) ) )).
fof(t17_integra4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v2_seq_2(k2_partfun1(A,k1_numbers,k19_rfunct_3(A,C),B)) ) ) )).
fof(t17_integra5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,A)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,A,B)) & r1_tarski(C,B) ) => r1_integra5(C,A) ) ) ) ) )).
fof(t17_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_integra5(k3_integra5(A,B),D) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(D)) & r2_hidden(C,k3_integra5(A,B)) ) => ( r1_integra5(k3_integra5(A,C),D) & r1_integra5(k3_integra5(C,B),D) & k4_integra5(A,B,D) = k2_xcmplx_0(k4_integra5(A,C,D),k4_integra5(C,B,D)) ) ) ) ) ) ) )).
fof(t17_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(A,B))) & r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,C)) & r2_hidden(E,k2_rcomp_1(A,B)) & r2_hidden(F,k2_rcomp_1(A,B)) & r1_integra7(k2_rcomp_1(A,B),D,C) ) => k1_funct_1(D,E) = k2_xcmplx_0(k4_integra5(F,E,C),k1_funct_1(D,F)) ) ) ) ) ) ) ) )).
fof(t17_integra8,axiom,( k1_funct_1(k1_sin_cos2,1) = k7_xcmplx_0(k6_xcmplx_0(k1_square_1(k4_power),1),k3_xcmplx_0(2,k4_power)) )).
fof(t17_integra9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(1,k5_numbers),k22_sin_cos)) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fcont_1(1,k4_xcmplx_0(1))),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fcont_1(1,k4_xcmplx_0(1))),k3_seq_4(A))) ) )).
fof(t17_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => k4_interva1(A,B,C) = k2_interva1(A,k4_subset_1(A,k5_interva1(A,B),k5_interva1(A,C)),k4_subset_1(A,k6_interva1(A,B),k6_interva1(A,C))) ) ) ) )).
fof(t17_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => r2_tarski(k3_intpro_1(A,A),k8_intpro_1) ) )).
fof(t17_irrat_1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => k18_rvsum_1(A) = k2_xcmplx_0(k1_funct_1(A,1),k18_rvsum_1(k2_rfinseq(k1_numbers,1,A))) ) ) )).
fof(t17_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => r1_isocat_1(k6_cat_2(A,B),k6_cat_2(B,A)) ) ) )).
fof(t17_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k2_nattra_1(B,C,k10_cat_2(A,B,C,D,k3_graph_1(A,E)),k10_cat_2(A,B,C,D,k4_graph_1(A,E)),k4_isocat_2(A,B,C,D,E),F) = k9_cat_2(A,B,C,D,E,k4_cat_1(B,F)) ) ) ) ) ) ) )).
fof(t17_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v5_tops_1(B,A) <=> ( v2_isomichi(B,A) & v4_pre_topc(B,A) ) ) ) ) )).
fof(t17_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( v3_topreal1(A) & r1_tarski(k9_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,A,1),k2_topreal1(2,A,k1_nat_1(1,1))),k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(1,1)))) & r1_tarski(k9_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,A,k7_nat_d(k3_finseq_1(A),2)),k2_topreal1(2,A,k7_nat_d(k3_finseq_1(A),1))),k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k7_nat_d(k3_finseq_1(A),1)))) ) => v2_topreal1(A) ) ) )).
fof(t17_jgraph_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( A = a_0_0_jgraph_2 & k3_subset_1(u1_struct_0(k15_euclid(2)),B) = k6_domain_1(u1_struct_0(k15_euclid(2)),k4_struct_0(k15_euclid(2))) ) => ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)))) & ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) ) )).
fof(t17_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ( ( C = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,B) & A = k8_struct_0(k15_euclid(2)) & B = a_0_0_jgraph_3 ) => ( v5_pre_topc(C,k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B),k1_pre_topc(k15_euclid(2),A)) & v4_pre_topc(B,k1_pre_topc(k15_euclid(2),A)) ) ) ) ) ) )).
fof(t17_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B) => ( r1_xxreal_0(k5_numbers,k17_euclid(A)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k3_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B))))))),k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B)))) ) ) ) ) )).
fof(t17_jgraph_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( E = a_0_5_jgraph_5 & k12_euclid(A) = 1 & k12_euclid(B) = 1 & k12_euclid(C) = 1 & k12_euclid(D) = 1 ) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) ) => ~ ( v3_tops_2(F,k15_euclid(2),k15_euclid(2)) & r1_tarski(k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),F,E),E) & k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),F,A) = k19_euclid(k4_xcmplx_0(1),k5_numbers) & k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),F,B) = k19_euclid(k5_numbers,1) & k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),F,C) = k19_euclid(1,k5_numbers) & k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),F,D) = k19_euclid(k5_numbers,k4_xcmplx_0(1)) ) ) | ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( v5_pre_topc(F,k5_topmetr,k15_euclid(2)) & v2_funct_1(F) & v5_pre_topc(G,k5_topmetr,k15_euclid(2)) & v2_funct_1(G) & k1_funct_1(F,k5_numbers) = A & k1_funct_1(F,1) = C & k1_funct_1(G,k5_numbers) = D & k1_funct_1(G,1) = B & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),F),E) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),G),E) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),F),k2_relset_1(u1_struct_0(k15_euclid(2)),G)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v1_xboole_0(E) & v2_compts_1(E,k15_euclid(2)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( E = a_0_0_jgraph_6 & r1_jordan6(E,A,B) & r1_jordan6(E,B,C) & r1_jordan6(E,C,D) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( v5_pre_topc(G,k5_topmetr,k15_euclid(2)) & v2_funct_1(G) & v5_pre_topc(H,k5_topmetr,k15_euclid(2)) & v2_funct_1(H) & F = a_0_1_jgraph_6 & k1_funct_1(G,k5_numbers) = C & k1_funct_1(G,1) = A & k1_funct_1(H,k5_numbers) = D & k1_funct_1(H,1) = B & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),G),F) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),H),F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),G),k2_relset_1(u1_struct_0(k15_euclid(2)),H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k17_euclid(C) = E & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(C),H) & r1_xxreal_0(k17_euclid(D),F) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k18_euclid(C),k18_euclid(B)) | r1_xxreal_0(k17_euclid(D),E) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_xreal_0(B) & ~ v3_xxreal_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => m1_subset_1(C,u1_struct_0(k2_brouwer(A,C,B))) ) ) ) )).
fof(t17_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_3_jordan1(A) => v1_convex1(B,k15_euclid(2)) ) ) ) )).
fof(t17_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(k1_jordan2c(2,B),k3_goboard9(k1_jordan9(B,A))) ) ) )).
fof(t17_jordan11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(k3_topreal1(2,k1_jordan9(B,A)),k2_jordan2c(2,B)) ) ) )).
fof(t17_jordan12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ! [C] : ! [D] : ~ ( r2_tarski(B,k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))) & r2_tarski(C,k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))) & r2_tarski(D,k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),E) & r2_tarski(B,E) & r2_tarski(C,E) ) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),E) & r2_tarski(C,E) & r2_tarski(D,E) ) ) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A)),E) & r2_tarski(B,E) & r2_tarski(D,E) ) ) ) ) )).
fof(t17_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_xboole_0(k2_jordan2c(2,A),k1_jordan2c(2,k3_topreal1(2,k1_jordan13(A,B)))) ) ) ) )).
fof(t17_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_topreal1(2,k1_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k2_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,G) & r1_xxreal_0(G,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,G)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,G)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,G)) ) ) ) ) ) ) ) ) ) )).
fof(t17_jordan16,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & r1_jordan5c(A,B,C,D,E) & D != E & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ~ ( v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = B & k1_funct_1(F,1) = C & k1_funct_1(F,G) = D & k1_funct_1(F,H) = E & r1_xxreal_0(k5_numbers,G) & ~ r1_xxreal_0(H,G) & r1_xxreal_0(H,1) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( D != E & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != D & F != E & r1_jordan17(A,B,D,F,E) ) ) ) ) ) ) ) ) )).
fof(t17_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(A,k1_jordan2c(2,B)) => ( r2_tarski(k1_jordan18(A,B),B) & r2_tarski(k1_jordan18(A,B),k4_topreal1(A)) & r2_tarski(k2_jordan18(A,B),B) & r2_tarski(k2_jordan18(A,B),k6_topreal1(A)) ) ) ) ) )).
fof(t17_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k2_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_topreal1(2,k1_jordan1e(B,A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k9_jordan6(B)) ) ) ) ) ) ) )).
fof(t17_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) ) => r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C),B))) ) ) ) ) )).
fof(t17_jordan1b,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_tarski(A,k3_goboard5(k1_jordan8(A,k5_numbers),2,2)) ) )).
fof(t17_jordan1c,axiom,( ! [A] : ( ( v4_pre_topc(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(2))) => ~ ( r2_tarski(B,k1_jordan2c(2,A)) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_tarski(k8_metric_1(k14_euclid(2),B,C),k1_jordan2c(2,A)) ) ) ) ) ) )).
fof(t17_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k18_pscomp_1(B),k1_gobrd13(k1_jordan9(B,A),k1_jordan8(B,A),C)) ) ) ) )).
fof(t17_jordan1e,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_sprect_2(k1_jordan9(B,A),k1_jordan1e(B,A)) ) ) )).
fof(t17_jordan1g,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_finseq_5(u1_struct_0(k15_euclid(2)),k1_jordan9(A,B),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))))),k3_topreal1(2,k2_finseq_5(u1_struct_0(k15_euclid(2)),k1_jordan9(A,B),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))))) = k2_tarski(k20_pscomp_1(k3_topreal1(2,k1_jordan9(A,B))),k18_pscomp_1(k3_topreal1(2,k1_jordan9(A,B)))) ) ) )).
fof(t17_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v3_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k1_matrix_0(A),k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k2_jordan1h(u1_struct_0(k15_euclid(2)),A)))) ) )).
fof(t17_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(k1_nat_1(C,1),D),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,E)) = k7_pscomp_1(k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t17_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k23_pscomp_1(B),A) ) => k23_pscomp_1(A) = k23_pscomp_1(B) ) ) ) )).
fof(t17_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k2_jordan2c(A,k1_struct_0(k15_euclid(A))) = k2_struct_0(k15_euclid(A)) ) ) )).
fof(t17_jordan20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( k9_subset_1(u1_struct_0(A),B,C) = k1_xboole_0 & k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) & r2_tarski(D,B) & r2_tarski(E,C) & v3_pre_topc(B,A) & v3_pre_topc(C,A) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(A)))) ) => ~ ( v5_pre_topc(F,k5_topmetr,A) & k1_funct_1(F,k5_numbers) = D & k1_funct_1(F,1) = E ) ) ) ) ) ) ) ) )).
fof(t17_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k6_pscomp_1(A) = k6_pscomp_1(k8_jordan6(A)) ) )).
fof(t17_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k18_euclid(k1_jordan21(k3_topreal1(2,k1_jordan9(A,B)))),k18_euclid(k1_jordan21(A))) ) ) )).
fof(t17_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v2_jordan23(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) ) => k4_jordan3(A,B,C) = k4_finseq_5(u1_struct_0(k15_euclid(2)),k4_jordan3(A,C,B)) ) ) ) ) ) )).
fof(t17_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k7_metric_1)) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( C = A => k8_metric_1(k7_metric_1,A,B) = a_2_1_jordan2b(B,C) ) ) ) ) )).
fof(t17_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & r2_tarski(C,k3_topreal1(2,A)) & B = k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),C),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,k1_nat_1(k1_jordan3(A,C),1),k3_finseq_1(A))) ) => ( C = k1_funct_1(A,k1_nat_1(k1_jordan3(A,C),1)) | r1_jordan3(B,C,k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) ) ) ) ) ) )).
fof(t17_jordan4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k3_finseq_1(B)) => k3_finseq_6(A,B,C,C) = k6_finseq_1(A) ) ) ) ) )).
fof(t17_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B)))) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( ( G = F & v5_pre_topc(E,k4_topmetr(A,B),k4_topmetr(C,D)) & v2_funct_1(E) & v2_compts_1(G,k3_topmetr) & k1_funct_1(E,A) = C & k1_funct_1(E,B) = D & k7_relset_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D)),E,F) = H ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(D,C) | k1_funct_1(E,k3_seq_4(k1_weierstr(G))) = k3_seq_4(k1_weierstr(H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & B = k1_funct_1(A,k3_finseq_1(A)) ) => k2_jordan3(A,B) = k13_matrix_0(u1_struct_0(k15_euclid(2)),B) ) ) ) )).
fof(t17_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r1_jordan5c(k1_rltopsp1(k15_euclid(2),C,D),C,D,A,B) => ( C = D | r2_jordan3(C,D,A,B) ) ) ) ) ) ) )).
fof(t17_jordan5d,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_4_jordan5d(A) => B = k7_relat_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k3_topreal1(2,A)),u1_struct_0(k1_pre_topc(k15_euclid(2),k3_topreal1(2,A)))) ) ) ) )).
fof(t17_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => ( B = k2_jordan6(A,B,C) <=> k18_euclid(B) = k18_euclid(C) ) ) ) ) ) )).
fof(t17_jordan7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( v5_pre_topc(D,k5_topmetr,k15_euclid(2)) & v2_funct_1(D) & k2_relset_1(u1_struct_0(k15_euclid(2)),D) = A & k1_funct_1(D,k5_numbers) = B & k1_funct_1(D,1) = C ) ) ) ) ) ) )).
fof(t17_jordan8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,k3_finseq_1(k1_jordan8(A,C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A,C),B,k5_numbers),A) ) ) ) ) )).
fof(t17_jordan9,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k1_matrix_0(A)) ) => ( r2_tarski(B,k3_goboard5(A,C,D)) <=> ( r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,D)),k17_euclid(B)) & r1_xxreal_0(k17_euclid(B),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1),D))) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,D)),k18_euclid(B)) & r1_xxreal_0(k18_euclid(B),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,k1_nat_1(D,1)))) ) ) ) ) ) ) ) )).
fof(t17_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_jordan6(A,B,C) => ( B = C | r1_topreal1(k15_euclid(2),B,C,k1_jordan7(A,B,C)) ) ) ) ) ) )).
fof(t17_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) ) => ( ( v4_ordinal1(D) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k3_knaster(A,B,C,F) ) ) ) => ( D = k5_numbers | k3_knaster(A,B,C,D) = k15_lattice3(A,k10_xtuple_0(E)) ) ) ) ) ) ) ) )).
fof(t17_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ! [E] : ( v7_ordinal1(E) => k1_funct_1(C,E) = k5_xboole_0(D,k1_funct_1(B,E)) ) => r1_tarski(k5_subset_1(A,D,k4_kurato_0(A,B)),k4_kurato_0(A,C)) ) ) ) ) )).
fof(t17_kurato_1,axiom,( k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k6_kurato_1)) = k4_subset_1(k1_numbers,k4_rcomp_1(k2_xxreal_0,4),k1_seq_4(5)) )).
fof(t17_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,D),k8_nat_1(k9_setfam_1(u1_struct_0(A)),C,D)) ) => r1_tarski(k1_kurato_2(A,B),k1_kurato_2(A,C)) ) ) ) ) )).
fof(t17_lagra4sq,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & k8_nat_3(k8_newton,k13_nat_3(A)) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) ) ) ) ) ) )).
fof(t17_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_lang1(k9_lang1(A)) = k3_finseq_2(A) ) )).
fof(t17_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,B) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( m2_finseq_1(F,D) => ( ~ r2_tarski(A,k2_finseq_1(k1_matrix_0(E))) => k3_laplace(A,C,B,D,E,F) = E ) ) ) ) ) ) ) )).
fof(t17_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(k1_latsubgr(A),B)) => r2_tarski(k2_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) )).
fof(t17_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ! [D] : ( ( v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B))) & r2_tarski(C,u1_struct_0(B)) ) => r2_tarski(D,u1_struct_0(B)) ) ) ) )).
fof(t17_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_lattices(A) & v3_robbins3(A) & v1_lattad_1(A) & v2_lattad_1(A) & v3_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattices(A,B,C) => k1_lattices(A,B,C) = k1_lattices(A,C,B) ) ) ) ) )).
fof(t17_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),u1_lattices(A),B,C) = C ) => B = k6_lattices(A) ) ) ) )).
fof(t17_lattice3,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k13_lattice3(A,k12_lattice3(A,B,C),C) = C ) ) ) )).
fof(t17_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(k5_lattices(A),B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ( r1_tarski(C,B) => r2_tarski(k1_lattice4(A,C),B) ) ) ) ) ) )).
fof(t17_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v1_lattice5(C,A,B) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => v1_lattice5(k6_lattice5(A,B,C,D),k5_lattice5(A),B) ) ) ) ) ) )).
fof(t17_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_lattice6(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k6_lattices(A) => ( v3_lattice6(B,A) <=> v2_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) ) ) ) ) )).
fof(t17_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => r1_tarski(A,k3_lattice8(A,B)) ) ) )).
fof(t17_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_latticea(B,A) => v2_filter_0(B,A) ) ) ) )).
fof(t17_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_lattices(A,k6_lattices(A),B) = B ) ) )).
fof(t17_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => r1_relset_1(k6_glib_000(A),k4_ordinal1,k5_lexbfs(A,B,C),k5_lexbfs(A,B,D)) ) ) ) ) ) )).
fof(t17_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_lfuzzy_0(A))) => ( r1_orders_2(k4_lfuzzy_0(A),B,C) <=> ! [D] : ( m1_subset_1(D,A) => r1_xxreal_0(k7_lfuzzy_0(A,k5_lfuzzy_0(A,B),D),k7_lfuzzy_0(A,k5_lfuzzy_0(A,C),D)) ) ) ) ) ) )).
fof(t17_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v2_lfuzzy_1(k5_fuzzy_2(A,A),A) & v3_lfuzzy_1(k5_fuzzy_2(A,A),A) & v1_lfuzzy_1(k5_fuzzy_2(A,A),A) ) ) )).
fof(t17_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_seq_2(A) & v1_limfunc1(B) ) => v2_limfunc1(k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t17_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r6_limfunc2(B,A) & v7_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r5_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t17_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => m1_vectsp_4(k1_vectsp_7(A,B,k9_subset_1(u1_struct_0(B),C,D)),A,k2_vectsp_5(A,B,k1_vectsp_7(A,B,C),k1_vectsp_7(A,B,D))) ) ) ) ) )).
fof(t17_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( ( r1_lmod_6(A,B,C) & r1_lmod_6(A,C,B) ) => B = C ) ) ) ) )).
fof(t17_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( k1_algstr_0(k13_lmod_7(A,B,E),k14_lmod_7(A,B,E,C),k14_lmod_7(A,B,E,D)) = k14_lmod_7(A,B,E,k3_rlvect_1(B,C,D)) & k4_struct_0(k13_lmod_7(A,B,E)) = k14_lmod_7(A,B,E,k4_struct_0(B)) ) ) ) ) ) ) )).
fof(t17_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_lopban_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_lopban_1(A,B))) => ! [E] : ( v1_xreal_0(E) => ( D = k1_rlvect_1(k8_lopban_1(A,B),C,E) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k9_lopban_1(A,B,D,F) = k1_rlvect_1(B,k9_lopban_1(A,B,C,F),E) ) ) ) ) ) ) ) )).
fof(t17_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & k2_normsp_0(A,B) = 1 ) ) )).
fof(t17_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_lopban_3(B,A) & v1_lopban_3(C,A) ) => ( v1_lopban_3(k1_normsp_1(A,B,C),A) & k1_lopban_3(A,k1_normsp_1(A,B,C)) = k3_rlvect_1(A,k1_lopban_3(A,B),k1_lopban_3(A,C)) ) ) ) ) ) )).
fof(t17_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => k6_lopban_3(A,k3_rlvect_1(A,C,D),B) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k5_lopban_4(B,A,C,D)),B) ) ) ) ) ) )).
fof(t17_lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r2_tarski(A,k1_funct_1(k8_lopclset(B),C)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,B) & v20_lattices(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & D = A & v1_filter_0(D,B) & r2_tarski(C,D) ) ) ) ) )).
fof(t17_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( r2_tarski(D,k13_lpspacc1(A,B,C)) & r2_tarski(E,k13_lpspacc1(A,B,C)) ) => r2_tarski(k2_valued_1(A,k2_numbers,k2_numbers,D,E),k13_lpspacc1(A,B,C)) ) ) ) ) ) ) )).
fof(t17_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => k1_binop_1(k4_lpspace1(A),1,B) = B ) ) )).
fof(t17_lpspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => ( r1_xxreal_0(C,k5_numbers) | r1_xxreal_0(k2_power(k4_xxreal_0(A,B),C),k2_xcmplx_0(k2_power(A,C),k2_power(B,C))) ) ) ) ) ) )).
fof(t17_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,C,k3_hilbert1(k2_ltlaxio1(k3_hilbert1(A,B)),k3_hilbert1(k2_ltlaxio1(A),k2_ltlaxio1(B))))) = 1 ) ) ) ) )).
fof(t17_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_hilbert1,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k8_finseq_1(k1_hilbert1,A,B)),k3_finseq_1(k2_ltlaxio2(k8_finseq_1(k1_hilbert1,A,B))))) = k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),k3_finseq_1(k2_ltlaxio2(A)))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B))))) ) ) ) )).
fof(t17_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => k5_ltlaxio3(k5_ltlaxio3(A)) = k5_ltlaxio3(A) ) )).
fof(t17_ltlaxio4,axiom,( ! [A] : ( ( ~ v2_ltlaxio3(A) & m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ( k2_relset_1(k1_hilbert1,B) = k3_ltlaxio4(k5_ltlaxio4(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k12_ltlaxio3(A),k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(B)),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(B))))))) ) ) ) )).
fof(t17_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r2_hidden(k8_cqc_lang(A,D,k8_cqc_lang(A,C,B)),k4_cqc_the1(A)) & r2_hidden(C,k4_cqc_the1(A)) & r2_hidden(D,k4_cqc_the1(A)) ) => r2_hidden(B,k4_cqc_the1(A)) ) ) ) ) ) )).
fof(t17_margrel1,axiom,( ! [A] : ( ( ~ r2_tarski(k6_margrel1,A) => k11_margrel1(A) = k7_margrel1 ) & ~ ( k11_margrel1(A) = k7_margrel1 & r2_tarski(k6_margrel1,A) ) & ( r2_tarski(k6_margrel1,A) => k11_margrel1(A) = k6_margrel1 ) & ( k11_margrel1(A) = k6_margrel1 => r2_tarski(k6_margrel1,A) ) ) )).
fof(t17_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_mathmorp(A,B,k1_mathmorp(A,D,C)) = k1_mathmorp(A,k4_algstr_0(A,D),k3_mathmorp(A,B,C)) ) ) ) ) )).
fof(t17_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( v2_matrix10(B) & v2_matrix10(C) ) => v2_matrix10(k4_matrix10(A,B,C)) ) ) ) ) )).
fof(t17_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(k1_nat_1(A,1))) => ~ ( k1_funct_1(B,k1_nat_1(A,1)) != k1_nat_1(A,1) & ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,1))) => ~ ( v5_matrix_1(C,k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))) & k1_funct_1(C,k1_funct_1(B,k1_nat_1(A,1))) = k1_nat_1(A,1) & k1_funct_1(k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,1)))),B,C),k1_nat_1(A,1)) = k1_nat_1(A,1) ) ) ) ) ) )).
fof(t17_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v6_struct_0(E) & v13_algstr_0(E) & v33_algstr_0(E) & v4_vectsp_1(E) & v5_vectsp_1(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v3_group_1(E) & v5_group_1(E) & l6_algstr_0(E) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(E),C,D) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(E))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(E),C,D) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(E))) ) => ( ( r2_tarski(B,k2_finseq_1(k1_matrix_0(G))) & r2_tarski(A,k2_finseq_1(k1_matrix_0(G))) & H = k4_matrix_0(u1_struct_0(E),G) ) => ( r1_xxreal_0(C,k5_numbers) | r1_xxreal_0(D,k5_numbers) | k4_matrix_0(u1_struct_0(E),k3_matrix12(C,D,E,H,B,A,F)) = k6_matrix12(C,D,E,G,B,A,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_matrix_0(F) & m2_finseq_1(F,k3_finseq_2(A)) ) => ! [G] : ( m2_finseq_2(G,k4_ordinal1,k4_finseq_2(E,k4_ordinal1)) => ! [H] : ( m2_finseq_2(H,k4_ordinal1,k4_finseq_2(D,k4_ordinal1)) => ( r1_tarski(k2_zfmisc_1(k10_xtuple_0(G),k10_xtuple_0(H)),k2_matrix_0(F)) => ( r2_hidden(k4_tarski(B,C),k2_matrix_0(k1_matrix13(A,F,E,D,G,H))) <=> r2_hidden(k4_tarski(k1_funct_1(G,B),k1_funct_1(H,C)),k2_matrix_0(F)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_matrix14,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => k4_matrix_3(B,k4_matrix_3(B,C,D),E) = k4_matrix_3(B,C,k4_matrix_3(B,D,E)) ) ) ) ) ) )).
fof(t17_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,B) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,D,C,A) & m2_finseq_1(F,k3_finseq_2(D)) ) => ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k1_matrix_0(F))) => k8_matrix_0(D,k1_matrix15(D,C,B,A,E,F),k2_xcmplx_0(k1_matrix_0(E),G)) = k8_matrix_0(D,F,G) ) ) ) ) ) ) ) ) )).
fof(t17_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,B,A,A) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( v3_matrix16(C,B) => ( r1_xxreal_0(A,k5_numbers) | v1_matrix16(k4_matrix_0(B,C),B) ) ) ) ) ) )).
fof(t17_matrix17,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v4_matrix17(C,u1_struct_0(B)) => k4_matrix_0(u1_struct_0(B),C) = C ) ) ) ) )).
fof(t17_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k2_finseq_4(A,B,C))) & v2_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k2_finseq_4(A,B,C)),A,1,2) & m2_finseq_1(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k2_finseq_4(A,B,C)),k3_finseq_2(A)) ) ) ) ) )).
fof(t17_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(C)) & k1_funct_1(B,D) = k5_struct_0(A) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(B)) => ( E = D | k1_funct_1(B,E) = k4_struct_0(A) ) ) ) ) => k4_rlvect_1(A,k11_fvsum_1(A,B,C)) = k1_funct_1(C,D) ) ) ) ) ) )).
fof(t17_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) ) => k1_matrix_4(A,B,D) = k1_matrix_4(A,k1_matrix_4(A,B,C),k1_matrix_4(A,D,C)) ) ) ) ) ) )).
fof(t17_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) & k3_matrix_5(A,B) = k8_matrix_5(k3_finseq_1(A),k1_matrix_0(A)) ) => B = k4_matrix_5(A) ) ) ) )).
fof(t17_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( k4_matrix_3(B,C,D) = k1_matrix_3(B,A,A) & v1_matrix_6(C,A,B) ) => ( r1_xxreal_0(A,k5_numbers) | r1_matrix_6(A,B,C,D) ) ) ) ) ) ) )).
fof(t17_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(A),B,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( r1_xxreal_0(1,B) & v1_matrix_1(C,A) ) => k12_matrix_3(B,A,C) = k1_finsop_1(u1_struct_0(A),k13_matrix_3(B,A,C),u2_algstr_0(A)) ) ) ) ) )).
fof(t17_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v2_matrix_6(C,A,B) => v2_matrix_6(k4_matrix_3(B,C,k4_matrix_0(u1_struct_0(B),C)),A,B) ) ) ) ) )).
fof(t17_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(k7_finseq_1(B,C),k9_matrix_1(A)) => r2_tarski(k7_finseq_1(B,k3_finseq_5(C)),k9_matrix_1(A)) ) ) ) ) )).
fof(t17_matrixc1,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => k1_matrixc1(k7_matrixc1(B,A)) = k7_matrix_5(k8_complex1(A),k1_matrixc1(B)) ) ) )).
fof(t17_matrixj1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrixj1(C,B) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(B))) ) => k10_matrixj1(B,k6_matrixj1(B,A,C)) = k17_finseq_1(k4_ordinal1,A,k10_matrixj1(B,C)) ) ) ) )).
fof(t17_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v2_matrixj2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( v1_funct_1(k7_matrlin2(A,B,B,C,D)) & v1_funct_2(k7_matrlin2(A,B,B,C,D),u1_struct_0(C),u1_struct_0(C)) & m1_subset_1(k7_matrlin2(A,B,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ( v1_funct_1(k7_matrlin2(A,B,B,C,D)) & v1_funct_2(k7_matrlin2(A,B,B,C,D),u1_struct_0(C),u1_struct_0(C)) & v2_matrixj2(k7_matrlin2(A,B,B,C,D),A,C) & m1_subset_1(k7_matrlin2(A,B,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) ) ) ) ) ) )).
fof(t17_matrixr1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_vectsp_1)) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k2_vectsp_1)) => ( ( A = B & C = D ) => k10_rvsum_1(C,A) = k9_fvsum_1(k2_vectsp_1,D,B) ) ) ) ) ) )).
fof(t17_matrixr2,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) & k3_finseq_1(C) = k1_matrix_0(A) ) => ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) | r1_xxreal_0(k3_finseq_1(C),k5_numbers) | k6_matrixr1(k5_matrixr1(A,B),C) = k5_matrixr1(k6_matrixr1(A,C),k6_matrixr1(B,C)) ) ) ) ) ) )).
fof(t17_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ! [F] : ( m2_finseq_1(F,u1_struct_0(B)) => ( ( k3_finseq_1(F) = k3_finseq_1(E) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) ) => k4_finseqop(u1_struct_0(B),u1_struct_0(C),k5_matrlin(A,B,E,F),D) = k5_matrlin(A,C,E,k4_finseqop(u1_struct_0(B),u1_struct_0(C),F,D)) ) ) ) ) ) ) ) )).
fof(t17_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k9_matrlin(A,B,C,k3_rlvect_1(B,D,E)) = k3_fvsum_1(A,k9_matrlin(A,B,C,D),k9_matrlin(A,B,C,E)) ) ) ) ) ) )).
fof(t17_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(C,B) => r1_xxreal_0(k4_card_1(C),k4_matroid0(A,B)) ) ) ) ) )).
fof(t17_matrprob,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(B)) ) => ( C = D => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k2_finseq_1(k1_matrix_0(C))) => k8_matrix_0(A,C,E) = k8_matrix_0(B,D,E) ) ) ) ) ) ) ) )).
fof(t17_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ~ ( k8_matrix13(C,D) = B & ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),A,k7_nat_d(A,B)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => k8_matrix13(C,k1_matrix15(u1_struct_0(C),A,B,k7_nat_d(A,B),D,E)) != A ) ) ) ) ) ) )).
fof(t17_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v3_valued_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ! [E] : ( m1_matrlin(E,k2_vectsp_1,k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B),k9_matrix13(k2_vectsp_1,A,B,D))) => ( E = D => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B),k9_matrix13(k2_vectsp_1,A,B,D)))) => ( F = k1_funct_1(k3_matrtop1(A,B,D),C) => k9_matrlin(k2_vectsp_1,k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B),k9_matrix13(k2_vectsp_1,A,B,D)),E,F) = C ) ) ) ) ) ) ) ) )).
fof(t17_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(D,E) ) => ( r1_xxreal_0(D,C) | k4_matrix_3(k2_vectsp_1,k2_matrtop3(E,A,C,D),k2_matrtop3(E,B,C,D)) = k2_matrtop3(E,k2_xcmplx_0(A,B),C,D) ) ) ) ) ) ) ) )).
fof(t17_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B),k1_mazurulm(A,B)),k3_struct_0(A)) ) ) )).
fof(t17_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,k6_pboole(A,B,C),k1_mboolean(A,k1_mboolean(A,k2_pboole(A,B,C)))) ) ) )).
fof(t17_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(D,k2_zfmisc_1(k2_tarski(A,B),k1_tarski(C))) => ( ( k1_xtuple_0(D) = A | k1_xtuple_0(D) = B ) & k2_xtuple_0(D) = C ) ) )).
fof(t17_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & k2_relset_1(k9_setfam_1(A),E) = k1_enumset1(B,C,D) & k1_prob_2(A,k9_setfam_1(A),E,k5_numbers) = B & k1_prob_2(A,k9_setfam_1(A),E,1) = C & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ~ r1_xxreal_0(F,1) => k1_prob_2(A,k9_setfam_1(A),E,F) = D ) ) ) ) ) ) )).
fof(t17_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(B,D,k5_numbers) = k1_xboole_0 & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(B,D,k1_nat_1(E,1)) = k3_measure1(A,B,k8_nat_1(B,C,k5_numbers),k8_nat_1(B,C,E)) & r1_tarski(k8_nat_1(B,C,k1_nat_1(E,1)),k8_nat_1(B,C,E)) ) ) ) => ( v1_measure2(k4_measure1(A,B,D),A,B) & m1_measure2(k4_measure1(A,B,D),A,B) ) ) ) ) ) )).
fof(t17_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ~ ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => m1_measure3(k8_nat_1(k9_setfam_1(A),D,E),A,B,C) ) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ~ ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r1_tarski(k8_nat_1(k9_setfam_1(A),D,F),k8_nat_1(B,E,F)) & k12_supinf_2(C,k8_nat_1(B,E,F)) = k1_supinf_2 ) ) ) ) ) ) ) )).
fof(t17_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v2_measure5(A) => A = k1_xxreal_1(k7_supinf_2(A),k8_supinf_2(A)) ) ) )).
fof(t17_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m3_measure8(D,A,C,B) => ~ ( r2_tarski(C,B) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,B) & v1_prob_2(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ~ ( C = k3_tarski(k2_relset_1(B,E)) & ! [F] : ( v7_ordinal1(F) => r1_tarski(k8_nat_1(B,E,F),k1_measure8(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t17_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k5_member_1(k6_subset_1(A,B)) = k6_subset_1(k5_member_1(A),k5_member_1(B)) ) ) )).
fof(t17_membered,axiom,( ! [A] : ( v5_membered(A) => ( ! [B] : ( v1_int_1(B) => r2_hidden(B,A) ) => A = k4_numbers ) ) )).
fof(t17_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v5_memstr_0(D,A,B,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(B)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(A,B)) ) => ( r1_tarski(D,E) => v5_memstr_0(E,A,B,C) ) ) ) ) ) ) )).
fof(t17_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),C,G)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,H)),k1_rlvect_1(k15_euclid(2),A,H)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,I)),k1_rlvect_1(k15_euclid(2),B,I)) ) => k1_euclid_6(D,E,F) = k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,G),k6_xcmplx_0(1,H)),k6_xcmplx_0(1,I)),k3_xcmplx_0(k3_xcmplx_0(G,H),I)),k1_euclid_6(A,B,C)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( m1_subset_1(E,C) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( E = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & E = k1_relset_1(A,F) & ! [G] : ( v7_ordinal1(G) => r1_mesfunc1(A,C,k4_mesfunc5(A,k6_numbers,B,G),E) ) & r1_mesfunc5(A,C,D,F) & v6_supinf_2(F) & ! [G] : ( m1_subset_1(G,A) => ! [H] : ( v7_ordinal1(H) => ( r2_tarski(G,E) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A,k4_mesfunc5(A,k6_numbers,B,H)),G),k12_supinf_2(F,G)) ) ) ) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( ! [H] : ( v7_ordinal1(H) => k12_supinf_2(G,H) = k7_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,H)) ) & r1_xxreal_0(k7_mesfunc5(A,C,D,k5_mesfunc8(A,B)),k6_rinfsup2(G)) & r1_xxreal_0(k5_rinfsup2(G),k7_mesfunc5(A,C,D,k6_mesfunc8(A,B))) & ( ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(H,E) => v10_mesfunc5(k3_mesfunc5(A,B,H)) ) ) => ( v10_mesfunc5(G) & k2_mesfunc5(G) = k7_mesfunc5(A,C,D,k7_mesfunc8(A,B)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( r1_mesfun6c(A,B,C,E) & r1_tarski(E,k1_relset_1(A,C)) ) => r1_mesfun6c(A,B,k25_valued_1(A,k2_numbers,C,D),E) ) ) ) ) ) ) )).
fof(t17_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k1_funct_1(D,F) = k8_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)),k13_mesfunc1(k4_mesfunc5(A,k1_numbers,C,F),E)) ) => k1_setfam_1(k2_relset_1(B,D)) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)),k17_mesfunc1(A,k2_mesfun7c(A,C),E)) ) ) ) ) ) ) )).
fof(t17_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( v1_mesfunc8(B,A,k1_numbers) => v1_mesfunc8(k2_mesfun9c(A,B),A,k1_numbers) ) ) ) )).
fof(t17_mesfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ! [D] : ( v1_xxreal_0(D) => ( r1_tarski(C,k9_xtuple_0(B)) => k9_subset_1(A,C,k14_mesfunc1(A,B,D)) = k6_subset_1(C,k9_subset_1(A,C,k17_mesfunc1(A,B,D))) ) ) ) )).
fof(t17_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( k1_relset_1(A,B) = k1_relset_1(A,k4_mesfunc1(A,k1_mesfunc2(A,B),k2_mesfunc2(A,B))) & k1_relset_1(A,B) = k1_relset_1(A,k3_mesfunc1(A,k1_mesfunc2(A,B),k2_mesfunc2(A,B))) ) ) ) )).
fof(t17_mesfunc3,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ( r2_tarski(k1_supinf_1,k2_relset_1(k6_numbers,A)) => ( r2_tarski(k2_supinf_1,k2_relset_1(k6_numbers,A)) | k4_extreal1(A) = k1_supinf_1 ) ) ) )).
fof(t17_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v3_mesfunc5(B) & v4_mesfunc5(C) ) => k1_relset_1(A,k4_mesfunc1(A,B,C)) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) ) ) ) ) )).
fof(t17_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( r1_mesfunc6(A,B,C,D) & r1_mesfunc6(A,B,C,E) ) => r1_mesfunc6(A,B,C,k6_prob_1(A,B,D,E)) ) ) ) ) ) ) )).
fof(t17_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(k6_numbers)) ) => ( ( k9_subset_1(A,k1_relset_1(A,D),k1_relset_1(A,E)) = F & k10_xtuple_0(D) = G & v3_valued_0(E) & r1_mesfunc1(A,B,D,F) & v5_xxreal_2(k10_xtuple_0(D)) & r1_mesfunc5(A,B,C,E) ) => ( r1_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k5_mesfunc1(A,D,E),F)) & ? [H] : ( m1_subset_1(H,k1_numbers) & r1_xxreal_0(k7_supinf_2(G),H) & r1_xxreal_0(H,k8_supinf_2(G)) & k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k5_mesfunc1(A,D,k9_mesfunc1(A,E)),F)) = k4_xxreal_3(H,k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k9_mesfunc1(A,E),F))) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),D,F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k16_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,F),E)) ) => ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),k6_setlim_1(A,B,D),F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k16_mesfunc1(A,k4_mesfunc5(A,k6_numbers,k4_mesfunc8(A,C),F),E)) ) ) ) ) ) ) ) )).
fof(t17_mesfunc9,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k12_supinf_2(A,B),k5_numbers) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k12_supinf_2(k1_mesfunc9(A),B),k5_numbers) ) ) ) )).
fof(t17_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k8_metric_1(B,C,A) = a_3_3_metric_1(A,B,C) ) ) ) )).
fof(t17_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ( r2_tarski(A,k2_metric_2(B)) <=> m1_metric_2(A,B) ) ) )).
fof(t17_metric_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => r1_xxreal_0(k1_square_1(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,D)),k3_xcmplx_0(E,F))),k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)),k1_square_1(E)),k2_xcmplx_0(k2_xcmplx_0(k1_square_1(C),k1_square_1(D)),k1_square_1(F)))) ) ) ) ) ) ) )).
fof(t17_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,D) & r2_tarski(D,k2_pcomps_1(A)) ) => r2_metric_6(A,D,C) ) ) => r1_metric_6(A,C,B) ) ) ) ) )).
fof(t17_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(B,A) => r1_ordinal1(k2_waybel23(A),k2_card_2(k4_ordinal1,k1_card_1(B))) ) ) ) )).
fof(t17_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_rlvect_2(B,k10_funcsdom(k2_finseq_1(A))) <=> m1_rlvect_2(B,k15_euclid(A)) ) ) )).
fof(t17_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_midsp_1(A,F,G,B,C) & r1_midsp_1(A,F,G,D,E) ) => r1_midsp_1(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t17_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v12_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_midsp_2(A,B) = k1_midsp_2(A,C) => B = C ) ) ) ) )).
fof(t17_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_2(D,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [E] : ( ( v4_midsp_2(E,B) & l1_midsp_2(E,B) ) => k7_midsp_3(A,B,E,C,k8_midsp_3(A,B,E,C,D)) = D ) ) ) ) ) )).
fof(t17_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( k6_mmlquer2(B,A) = k5_numbers & r2_hidden(A,k10_xtuple_0(B)) ) ) )).
fof(t17_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( r1_relset_1(A,A,E,F) & r1_tarski(B,C) & r1_relset_1(A,A,D,G) ) => r1_tarski(k7_mmlquery(A,D,B,F),k7_mmlquery(A,G,C,E)) ) ) ) ) ) ) ) )).
fof(t17_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v2_mod_2(B,A) & v3_mod_2(B,A) & l1_mod_2(B,A) ) => ! [C] : ( ( v2_mod_2(C,A) & v3_mod_2(C,A) & l1_mod_2(C,A) ) => ! [D] : ( ( v2_mod_2(D,A) & v3_mod_2(D,A) & l1_mod_2(D,A) ) => ( ( k2_mod_2(A,D) = k3_mod_2(A,C) & k2_mod_2(A,C) = k3_mod_2(A,B) ) => k8_mod_2(A,D,k8_mod_2(A,C,B)) = k8_mod_2(A,k8_mod_2(A,D,C),B) ) ) ) ) ) )).
fof(t17_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( C != D & v1_vectsp_7(k7_domain_1(u1_struct_0(B),C,D),A,B) ) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k3_rlvect_1(B,k3_vectsp_1(A,B,E,C),k3_vectsp_1(A,B,F,D)) = k4_struct_0(B) => ( E = k4_struct_0(A) & F = k4_struct_0(A) ) ) ) ) ) ) ) ) ) )).
fof(t17_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v36_algstr_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => k5_mod_4(k2_mod_4(A),k3_mod_4(A,B)) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) )).
fof(t17_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ( k8_trees_2(A,k1_modal_1(A)) = k5_numbers => ( k4_card_1(A) = 1 & A = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t17_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k30_modelc_1(A))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k48_modelc_1(A,B,D))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k48_modelc_1(A,B,D))) => ( r3_modelc_1(A,B,D,C,k28_modelc_1(k48_modelc_1(A,B,D),E,F)) <=> ( r3_modelc_1(A,B,D,C,E) | r3_modelc_1(A,B,D,C,F) ) ) ) ) ) ) ) ) )).
fof(t17_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r1_modelc_2(C,k7_modelc_2(A,B)) <=> ( C = A | C = B ) ) ) ) ) )).
fof(t17_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => r1_xxreal_0(k5_numbers,k18_modelc_3(A,B)) ) ) )).
fof(t17_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => r1_xxreal_0(k11_nat_3(A,C),k11_nat_3(B,C)) ) => r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(A)),k22_pre_poly(k8_newton,k13_nat_3(B))) ) ) ) )).
fof(t17_moebius2,axiom,( k10_newton(4) = 11 )).
fof(t17_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_algstr_0(A) ) => ( v4_vectsp_1(A) => k5_struct_0(A) = k3_binop_1(u1_struct_0(A),u2_algstr_0(A)) ) ) )).
fof(t17_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ( u1_struct_0(k9_monoid_1(B,A)) = k9_funct_2(A,u1_struct_0(B)) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k9_monoid_1(B,A)),u1_struct_0(k9_monoid_1(B,A))),u1_struct_0(k9_monoid_1(B,A)),k2_zfmisc_1(k9_funct_2(A,u1_struct_0(B)),k9_funct_2(A,u1_struct_0(B))),k9_funct_2(A,u1_struct_0(B)),u2_algstr_0(k9_monoid_1(B,A)),k8_monoid_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),u2_algstr_0(B),A)) ) ) )).
fof(t17_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( k2_morph_01(A,k5_rusub_4(A,C,B),D) = k2_morph_01(A,C,k5_rusub_4(A,D,B)) & k2_morph_01(A,k5_rusub_4(A,C,B),D) = k5_rusub_4(A,k2_morph_01(A,C,D),B) ) ) ) ) ) )).
fof(t17_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => v2_msafree(k11_msafree(A,B),A) ) ) )).
fof(t17_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(D,k1_funct_1(k5_msafree3(A,B,C),E)) => ( k7_msaterm(A,B,D) = E & r2_pboole(u1_struct_0(A),k4_msafree3(A,B,D),C) ) ) ) ) ) ) ) )).
fof(t17_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_rewrite1(B) & v4_rewrite1(B) ) => ( r3_rewrite1(B,A) => k2_rewrite1(B,A) = A ) ) )).
fof(t17_msafree5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => r1_tarski(k9_xtuple_0(B),k9_xtuple_0(k9_trees_4(B,C,A))) ) ) )).
fof(t17_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( k1_funct_1(C,k1_xboole_0) = k4_tarski(D,u1_struct_0(A)) => k7_msaterm(A,B,C) = k2_msualg_1(A,D) ) ) ) ) ) )).
fof(t17_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ( v1_msscyc_1(B,A) => k1_funct_1(k7_graph_2(A,B),1) = k1_funct_1(k7_graph_2(A,B),k1_nat_1(k3_finseq_1(B),1)) ) ) ) )).
fof(t17_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v1_funcop_1(D) ) => ( ( r1_pzfmisc1(A,B,C) & m2_pboole(D,A,B,C) ) => ( r6_pboole(A,k1_funct_6(D),B) & r2_pboole(A,k2_funct_6(D),C) ) ) ) ) ) )).
fof(t17_mssublat,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & m1_msualg_2(C,A,B) ) => m1_subset_1(u1_struct_0(k12_msualg_1(A,C)),k1_zfmisc_1(u1_struct_0(k12_msualg_1(A,B)))) ) ) ) )).
fof(t17_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,C)) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ( r2_tarski(E,k5_msualg_2(A,C,D)) => r1_tarski(k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k9_msualg_2(A,C,D))),B),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),E)),B)) ) ) ) ) ) ) )).
fof(t17_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ( r6_msualg_3(A,B,C) => r6_msualg_3(A,C,B) ) ) ) ) )).
fof(t17_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v2_msualg_4(k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)),A,B) & v3_msualg_4(k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)),A,B) & m1_msualg_4(k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) )).
fof(t17_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r1_msualg_6(A,C,D,B,E) => ( r1_rewrite1(k3_msualg_6(A),C,D) & m2_msualg_6(E,A,B,C,D) ) ) ) ) ) ) ) )).
fof(t17_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v2_msualg_7(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => k15_lattice3(A,C) = k15_lattice3(B,C) ) ) ) ) )).
fof(t17_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))))) => ! [E] : ( ( v1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B)) & m1_msualg_4(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( E = k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),D) => k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),E,C) = k15_lattice3(k2_msualg_5(k1_funct_1(u3_msualg_1(A,B),C)),k3_msualg_8(u1_struct_0(A),u3_msualg_1(A,B),C,D)) ) ) ) ) ) ) )).
fof(t17_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( v2_msualg_3(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,E,C)) => ? [G] : ( m1_subset_1(G,k3_msualg_1(A,E,B)) & k5_msualg_3(A,B,C,E,D,G) = F ) ) ) ) ) ) ) ) )).
fof(t17_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_unialg_2(A,B) => ( v1_relat_1(k2_msuhom_1(A,B,C)) & v4_relat_1(k2_msuhom_1(A,B,C),k1_tarski(k5_numbers)) & v1_funct_1(k2_msuhom_1(A,B,C)) & v1_partfun1(k2_msuhom_1(A,B,C),k1_tarski(k5_numbers)) ) ) ) ) ) )).
fof(t17_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_necklace(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_necklace(A))) => ~ ( B = D & C = E & r1_orders_2(A,B,C) & r1_orders_2(k3_necklace(A),D,E) ) ) ) ) ) ) )).
fof(t17_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => v3_pre_topc(k8_nat_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) ) => v3_pre_topc(k1_prob_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t17_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v7_pre_topc(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers)))) ) => ( ( ! [D] : ( v7_ordinal1(D) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r2_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,k1_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,C,D),E) & r1_nagata_1(u1_struct_0(A),E) & ! [F] : ( m1_subset_1(F,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => r1_xxreal_0(k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,E,F),B) ) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( r1_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers,E,F) => v1_pscomp_1(F,k2_borsuk_1(A,A)) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ r2_tarski(D,E) & v4_pre_topc(E,A) & ! [F] : ( v7_ordinal1(F) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r2_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,k1_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,C,F),G) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,k3_nagata_2(u1_struct_0(A),G,E),D),k5_numbers) ) ) ) ) ) ) => ( ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) & r1_pcomps_1(u1_struct_0(A),D) & ! [E] : ( m1_subset_1(E,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => k3_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers,D,E) = k4_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_prepower(k7_xcmplx_0(1,2)),k10_seqfunc(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),C,E))) ) ) & v3_pcomps_1(A) ) ) ) ) ) ) )).
fof(t17_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [B] : ( v7_ordinal1(B) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & B = k2_xcmplx_0(k3_xcmplx_0(A,C),D) & ~ r1_xxreal_0(A,D) ) ) ) ) ) )).
fof(t17_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k2_nat_d(k2_power(2,A),2) = k5_numbers ) ) )).
fof(t17_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) & v2_pre_poly(C) ) => r1_tarski(k13_pre_poly(k5_nat_3(A,B,C)),k2_xboole_0(k13_pre_poly(B),k13_pre_poly(C))) ) ) )).
fof(t17_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( v1_int_2(B) & r1_nat_d(D,k2_nat_1(A,k11_newton(B,k1_nat_1(C,1)))) ) => ( r1_nat_d(D,k2_nat_1(A,k11_newton(B,C))) | r1_nat_d(k11_newton(B,k1_nat_1(C,1)),D) ) ) ) ) ) ) )).
fof(t17_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_int_2(B,C) => k6_nat_d(A,k3_xcmplx_0(B,C)) = k2_nat_1(k6_nat_d(A,B),k6_nat_d(A,C)) ) ) ) ) )).
fof(t17_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_int_7(A))) => ! [C] : ( v1_int_1(C) => ! [D] : ( v7_ordinal1(D) => ( B = C => k5_group_1(k3_int_7(A),B,D) = k5_int_1(k1_newton(C,D),A) ) ) ) ) ) )).
fof(t17_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k2_nat_d(A,C) = k5_numbers => k2_nat_d(k2_xcmplx_0(A,B),C) = k2_nat_d(B,C) ) ) ) ) )).
fof(t17_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ r1_xboole_0(k2_cat_1(A,B,C),k2_cat_1(A,D,E)) => ( B = D & C = E ) ) ) ) ) ) ) )).
fof(t17_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_ncfcont1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_ncfcont1(E,B,k7_partfun1(u1_struct_0(B),C,D)) => ? [F] : ( m1_ncfcont1(F,A,D) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) ) )).
fof(t17_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r2_ncfcont2(A,B,C,D) => r5_ncfcont2(A,C,k4_normsp_0(u1_struct_0(C),B,D)) ) ) ) ) )).
fof(t17_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k6_vfunct_1(k1_numbers,A,C,D))) & r2_ndiff_3(A,C,B) & r2_ndiff_3(A,D,B) ) => ( r2_ndiff_3(A,k6_vfunct_1(k1_numbers,A,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_ndiff_3(A,k6_vfunct_1(k1_numbers,A,C,D),B),E) = k3_rlvect_1(A,k1_ndiff_3(A,C,E),k1_ndiff_3(A,D,E)) ) ) ) ) ) ) ) ) )).
fof(t17_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & v3_funct_1(k2_partfun1(k1_numbers,k1_euclid(A),C,B)) ) => ( r2_ndiff_4(A,C,B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_ndiff_4(A,C,B),D) = k5_euclid(A) ) ) ) ) ) ) ) )).
fof(t17_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_partfun1(B,k1_numbers) => ( v1_ndiff_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( E != k5_numbers & ~ r1_xxreal_0(D,k9_complex1(E)) & r1_xxreal_0(C,k7_xcmplx_0(k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,E)),k9_complex1(E))) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( v7_ordinal1(E) => ( r1_ndiff_6(A,B,C,D,E) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,E) => r1_ndiff_6(A,B,C,D,F) ) ) ) ) ) ) ) ) )).
fof(t17_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k4_struct_0(k14_prvect_2(k10_finseq_1(A,B))) = k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),k3_ndiff_7(A,B),k4_struct_0(k7_prvect_3(A,B))) ) ) )).
fof(t17_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( r1_xboole_0(u1_struct_0(A),u1_struct_0(B)) => k3_necklace(k1_neckla_2(A,B)) = k2_neckla_2(k3_necklace(A),k3_necklace(B)) ) ) ) )).
fof(t17_necklace,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( r5_waybel_1(A,B) => k1_card_1(u1_orders_2(A)) = k1_card_1(u1_orders_2(B)) ) ) ) )).
fof(t17_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ( k2_net_1(A) != k1_xboole_0 => r1_tarski(k5_net_1(A,B),k2_net_1(A)) ) ) ) )).
fof(t17_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k2_newton(A),k5_numbers) ) )).
fof(t17_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k2_xcmplx_0(k1_newton(A,D),k1_newton(B,D)),k1_newton(C,D)) & ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) & r1_xxreal_0(k1_newton(C,k2_xcmplx_0(D,1)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(D,1)),k1_newton(B,k2_xcmplx_0(D,1)))) ) ) ) ) ) )).
fof(t17_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_nfcont_1(A,B,C,D) => ( r2_nfcont_1(A,k4_normsp_0(u1_struct_0(A),B,C),D) & r1_nfcont_1(A,B,k5_vfunct_1(u1_struct_0(A),B,C),D) ) ) ) ) ) ) )).
fof(t17_nfcont_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,C)) => ( v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(B),C,A),B) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(D,A) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v1_xreal_0(G) => ~ ( r2_hidden(G,A) & ~ r1_xxreal_0(F,k9_complex1(k6_xcmplx_0(G,D))) & r1_xxreal_0(E,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,G),k7_partfun1(u1_struct_0(B),C,D)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,C)) & r1_nfcont_4(A,C,B) ) => r1_fcont_1(k1_nfcont_4(A,k1_numbers,C),B) ) ) ) ) )).
fof(t17_normform,axiom,( ! [A] : r3_binop_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k1_domain_1(k5_finsub_1(A),k5_finsub_1(A),k1_setwiseo(A),k1_setwiseo(A)),k5_normform(A)) )).
fof(t17_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,k2_xcmplx_0(C,D)) ) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,D) ) ) ) ) ) )).
fof(t17_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_normsp_2(A))) => ( ( B = C & D = E ) => ( m1_nfcont_1(B,A,D) <=> m1_connsp_2(C,k3_normsp_2(A),E) ) ) ) ) ) ) ) )).
fof(t17_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_normsp_3(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & v3_nfcont_1(C,A) & r1_xboole_0(B,C) ) ) ) ) ) )).
fof(t17_numbers,axiom,( r1_tarski(k4_ordinal1,k4_numbers) )).
fof(t17_numeral2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_numbers) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ! [C] : ( v1_int_1(C) => ( ( k2_afinsq_1(A) = k2_afinsq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k2_afinsq_1(A)) => k1_funct_1(B,D) = k5_int_1(k1_funct_1(A,D),C) ) ) ) => k5_int_1(k7_afinsq_2(A),C) = k5_int_1(k7_afinsq_2(B),C) ) ) ) ) )).
fof(t17_numpoly1,axiom,( k1_numpoly1(7) = 28 )).
fof(t17_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_o_ring_1(B,A) & v13_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t17_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( r2_tarski(D,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_openlatt(A,C),k10_openlatt(A,B))) => ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(C,D) & ~ r2_tarski(B,D) ) ) ) ) ) )).
fof(t17_oposet_1,axiom,( v12_oposet_1(k1_oposet_1) )).
fof(t17_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k2_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B)) != k1_xboole_0 & k2_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,D),k3_oppcat_1(A,C)) != k1_xboole_0 & ~ ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => k5_oppcat_1(A,k1_cat_1(A,E,F)) = k1_cat_1(k2_oppcat_1(A),k7_oppcat_1(A,C,D,F),k7_oppcat_1(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(t17_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_ordeq_01(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_rsspace4(A,B))) => ( C = D => k2_normsp_0(k5_ordeq_01(A,B),C) = k2_normsp_0(k9_rsspace4(A,B),D) ) ) ) ) ) )).
fof(t17_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( k1_relset_1(k1_numbers,F) = k1_rcomp_1(C,D) & k1_relset_1(k1_numbers,G) = k1_rcomp_1(C,D) & B = k2_rcomp_1(C,D) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k1_rcomp_1(C,D)) => k7_partfun1(u1_struct_0(A),G,H) = k3_rlvect_1(A,E,k6_integr18(A,F,C,H)) ) ) ) => ( v1_nfcont_3(G,A) & r2_ndiff_3(A,G,B) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,B) => k1_ndiff_3(A,G,H) = k7_partfun1(u1_struct_0(A),F,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_orders_1(A) => v2_orders_1(k2_relat_1(A)) ) ) )).
fof(t17_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => k2_orders_2(A,k2_struct_0(A)) = k1_xboole_0 ) )).
fof(t17_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => v3_ordinal1(k1_ordinal1(A)) ) )).
fof(t17_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( r2_tarski(A,B) => r2_tarski(k2_ordinal2(B),B) ) ) )).
fof(t17_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(C,D) => ( ( ~ r1_ordinal1(A,B) & ~ r2_tarski(A,B) ) | r2_tarski(k10_ordinal2(A,C),k10_ordinal2(B,D)) ) ) ) ) ) ) )).
fof(t17_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( ( v2_ordinal2(B) & v3_ordinal2(B) & v3_ordinal2(C) & A = k3_relat_1(B,C) ) => v3_ordinal2(A) ) ) ) ) )).
fof(t17_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => k1_ordinal5(1,A) = 1 ) )).
fof(t17_ordinal6,axiom,( ! [A] : ( v3_ordinal1(A) => k1_ordinal6(A) = A ) )).
fof(t17_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r1_orders_2(B,F,D) & r1_orders_2(B,F,E) ) => ( r1_orders_2(B,D,C) | k1_ortsp_1(A,B,k3_rlvect_1(B,C,F),D,E) = k1_ortsp_1(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t17_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,k3_msualg_1(A,C,k8_osafree(A,B))) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( E = k3_funct_2(k3_msualg_1(A,C,k8_osafree(A,B)),k4_msualg_1(A,C,k8_osafree(A,B)),k5_msualg_1(A,C,k8_osafree(A,B)),D) => k10_osafree(A,B,E) = k2_msualg_1(A,C) ) ) ) ) ) ) )).
fof(t17_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ( v12_osalg_1(B,A) <=> ( v1_relat_1(u3_msualg_1(A,B)) & v4_relat_1(u3_msualg_1(A,B),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A,B)) & v1_partfun1(u3_msualg_1(A,B),u1_struct_0(A)) & v11_osalg_1(u3_msualg_1(A,B),A) ) ) ) ) )).
fof(t17_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => r2_tarski(u3_msualg_1(A,B),k5_osalg_2(A,B,C)) ) ) ) )).
fof(t17_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( v13_osalg_1(B,A) <=> v13_osalg_1(g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)),A) ) ) ) )).
fof(t17_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) => ( r3_msualg_3(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D)),C,k21_osalg_4(A,B,C,D)) & v1_osalg_3(k21_osalg_4(A,B,C,D),A) ) ) ) ) ) ) )).
fof(t17_papdesaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v7_struct_0(B) & v2_analoaf(B) & l1_analoaf(B) ) => ( B = k2_analoaf(A) => v11_aff_2(k2_diraf(B)) ) ) ) )).
fof(t17_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k9_parsp_1(A))) & r1_parsp_1(k9_parsp_1(A),B,C,D,E) & r1_parsp_1(k9_parsp_1(A),B,D,C,E) ) ) ) ) ) )).
fof(t17_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_parsp_2(A,B,C,D) & r1_parsp_1(A,B,C,D,E) & D != E & r1_parsp_2(A,B,C,F) & r1_parsp_2(A,D,E,F) ) ) ) ) ) ) ) )).
fof(t17_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),B))) ) => v2_funct_1(C) ) )).
fof(t17_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( r2_tarski(D,k1_relset_1(B,E)) & r2_tarski(D,A) ) => k7_partfun1(C,k2_partfun1(B,C,E,A),D) = k7_partfun1(C,E,D) ) ) ) ) ) )).
fof(t17_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => k3_partit1(A,B,B) = B ) ) )).
fof(t17_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r1_bvfunc_1(A,k7_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k6_bvfunc_2(A,k7_bvfunc_2(A,B,C,E),C,D)) ) ) ) ) ) ) )).
fof(t17_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r3_diraf(A,F,B,C) & r2_analoaf(A,F,C,F,D) & r2_analoaf(A,C,B,D,E) & F != E & r1_diraf(A,B,F,E) ) ) ) ) ) ) ) )).
fof(t17_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r2_pboole(A,D,B) & r2_pboole(A,D,C) ) => r2_pboole(A,D,k3_pboole(A,B,C)) ) ) ) ) )).
fof(t17_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_setfam_1(B,k1_pcomps_1(A,B)) ) ) )).
fof(t17_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( l2_pcs_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k19_pcs_0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k19_pcs_0(A,B))) => ( r1_pcs_0(k19_pcs_0(A,B),C,D) <=> ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( E = C & F = D & r1_pcs_0(A,E,F) ) ) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( E = C & F = D & r1_pcs_0(B,E,F) ) ) ) ) ) ) ) ) ) )).
fof(t17_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(C))))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(C)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k4_real_ns1(B))) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(B)) => ( ( D = E & F = G & r2_pdiff_1(C,B,A,D,F) ) => k1_funct_1(k9_pdiff_1(B,C,A,D,F),k12_finseq_1(k4_ordinal1,1)) = k11_pdiff_1(B,C,A,E,G) ) ) ) ) ) ) ) ) )).
fof(t17_pdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ! [C] : ( m1_rcomp_1(C,k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(1,2),B)) => ( ( r3_pdiff_1(2,1,A,B) & r1_tarski(C,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,A,B))) ) => ! [D] : ( ( v9_ordinal1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(1,2),B)) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,1,A,B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,1,A,B))))) & k10_pdiff_1(2,1,A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,1,A,B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,1,A,B))))) ) ) ) ) ) ) ) ) )).
fof(t17_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ! [C] : ( m1_rcomp_1(C,k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(1,2),B)) => ( ( r1_pdiff_3(A,B) & r1_tarski(C,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B))) ) => ! [D] : ( ( v9_ordinal1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(1,2),B)) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B))))) & k2_pdiff_3(A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,1,k1_pdiff_3(1,2,A),B))))) ) ) ) ) ) ) ) ) )).
fof(t17_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(3)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( E = k11_finseq_1(A,B,C) & r3_pdiff_1(3,2,F,E) ) => ( D = k10_pdiff_1(3,2,F,E) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & E = k11_finseq_1(G,H,I) & ? [J] : ( m1_rcomp_1(J,H) & r1_tarski(J,k1_relset_1(k1_numbers,k1_pdiff_2(3,2,F,E))) & ? [K] : ( v1_funct_1(K) & v3_fdiff_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [L] : ( v1_funct_1(L) & v2_fdiff_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & D = k1_funct_1(K,1) & ! [M] : ( v1_xreal_0(M) => ( r2_hidden(M,J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,2,F,E),M),k1_funct_1(k1_pdiff_2(3,2,F,E),H)) = k2_xcmplx_0(k1_funct_1(K,k6_xcmplx_0(M,H)),k1_funct_1(L,k6_xcmplx_0(M,H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r8_pdiff_5(E,D) ) => k8_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,2,k1_pdiff_3(3,3,E),D),B) ) ) ) ) ) ) )).
fof(t17_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ~ ( E = k1_funct_1(B,D) & k1_funct_1(C,D) = k12_euclid(E) ) ) ) ) ) => r1_xxreal_0(k12_euclid(k5_euclid_7(A,B)),k18_rvsum_1(C)) ) ) ) ) )).
fof(t17_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,A) & B != k5_numbers & k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,C,k5_euclid(A)),B) = k5_euclid(A) ) ) ) ) )).
fof(t17_pdiff_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,B) ) => r1_xxreal_0(k9_complex1(k3_funct_2(k1_euclid(B),k1_numbers,k1_pdiff_1(D,B),C)),A) ) ) => r1_xxreal_0(k12_euclid(C),k3_xcmplx_0(B,A)) ) ) ) ) )).
fof(t17_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( v1_xreal_0(E) => ( r1_pdiff_6(C,B,A,D) => ( r1_pdiff_6(C,B,A,k9_integr15(B,E,k1_euclid(A),D)) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( r2_tarski(F,C) => k7_partfun1(k9_funct_2(k1_euclid(A),k1_euclid(B)),k1_pdiff_9(A,B,C,k9_integr15(B,E,k1_euclid(A),D)),F) = k9_integr15(B,E,k1_euclid(A),k8_pdiff_1(A,B,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t17_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v5_pencil_1(k1_pencil_1(A,B,C)) & ~ ! [D] : ( m1_subset_1(D,A) => v3_pencil_1(k1_pencil_1(A,B,D)) ) ) ) => v5_pencil_1(k5_pencil_1(A,B)) ) ) ) )).
fof(t17_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v2_pencil_1(C,A) => v2_pencil_1(k8_relset_1(u1_struct_0(A),u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t17_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_pencil_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_pencil_1(A,B))) => ( C != D => ( r1_pencil_1(k5_pencil_1(A,B),C,D) <=> ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ~ ( E = C & F = D & ! [G] : ( m1_subset_1(G,A) => ~ ( ! [H] : ( m1_subset_1(H,u1_struct_0(k2_pencil_1(A,B,G))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_pencil_1(A,B,G))) => ( ( H = k1_funct_1(E,G) & I = k1_funct_1(F,G) ) => ( H != I & r1_pencil_1(k2_pencil_1(A,B,G),H,I) ) ) ) ) & ! [H] : ( m1_subset_1(H,A) => ( H != G => k1_funct_1(E,H) = k1_funct_1(F,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k1_vectsp_9(A,B),C) & v3_pencil_1(k5_pencil_4(A,B,C)) ) ) ) ) )).
fof(t17_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,2) & v1_int_2(A) & v1_abian(A) ) ) )).
fof(t17_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_petri(B,A) <=> v6_petri(k12_petri(A,B),k11_petri(A)) ) ) ) )).
fof(t17_petri_df,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & v1_net_1(A) & v1_petri_df(A) & v4_petri_df(A) & l1_petri(A) ) => ! [B] : ( ( v1_finseq_6(B,k2_net_1(A)) & v1_jordan23(B) & v2_petri_df(B,A) & m2_finseq_1(B,k2_net_1(A)) ) => ! [C] : ( m2_funct_2(C,u1_struct_0(A),k4_ordinal1,k4_petri_df(A)) => ! [D] : ( m2_finseq_1(D,u4_struct_0(A)) => k5_petri_df(A,k2_petri_df(A,B),C) = k5_petri_df(A,k2_petri_df(A,B),k7_petri_df(A,C,D)) ) ) ) ) )).
fof(t17_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( r2_pnproc_1(A,k2_pnproc_1(A,C,D),B) => r1_pnproc_1(A,k3_pnproc_1(A,k3_pnproc_1(A,B,C),D),k3_pnproc_1(A,B,k2_pnproc_1(A,C,D))) ) ) ) ) )).
fof(t17_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_polyalg1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ( E = F => k3_vectsp_1(A,B,D,E) = k3_vectsp_1(A,C,D,F) ) ) ) ) ) ) ) )).
fof(t17_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(E,3),k3_xcmplx_0(k5_numbers,k1_square_1(E))),k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(3,k1_square_1(A))),E)),k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A))))) = k5_numbers => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( F = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),C),k1_square_1(B)),k3_xcmplx_0(3,k1_square_1(A))) & G = k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(k7_xcmplx_0(B,k3_xcmplx_0(3,A)),3)),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,A),D),k3_xcmplx_0(B,C)),k3_xcmplx_0(3,k1_square_1(A)))) ) => k4_polyeq_1(1,k5_numbers,F,G,E) = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(t17_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ( ! [G] : ( v1_xcmplx_0(G) => k2_polyeq_1(A,B,C,G) = k2_polyeq_1(D,E,F,G) ) => ( A = D & B = E & C = F ) ) ) ) ) ) ) ) )).
fof(t17_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( k2_xcmplx_0(k1_newton(A,E),k1_newton(B,E)) = C & k6_xcmplx_0(k1_newton(A,E),k1_newton(B,E)) = D & v1_abian(E) & r1_xxreal_0(1,E) & ~ r1_xxreal_0(k2_xcmplx_0(C,D),k5_numbers) & ~ r1_xxreal_0(k6_xcmplx_0(C,D),k5_numbers) & ~ ( A = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,D),2)) & B = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,D),2)) ) & ~ ( A = k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,D),2)) & B = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,D),2))) ) & ~ ( A = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,D),2))) & B = k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,D),2)) ) & ~ ( A = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k2_xcmplx_0(C,D),2))) & B = k4_xcmplx_0(k1_power(E,k7_xcmplx_0(k6_xcmplx_0(C,D),2))) ) ) ) ) ) ) ) )).
fof(t17_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(k2_xcmplx_0(k2_polyeq_5(A,B,C),k3_polyeq_5(A,B,C)),k4_polyeq_5(A,B,C)) = k4_xcmplx_0(C) ) ) ) )).
fof(t17_polyform,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => k1_funct_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A),B),C),1) = A ) ) )).
fof(t17_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => k4_polynom1(A,B,k5_vfunct_1(k15_pre_poly(A),B,C),D) = k4_algstr_0(B,k4_polynom1(A,B,C,D)) ) ) ) )).
fof(t17_polynom2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(B),u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(B),u1_struct_0(A)))) ) => ( k3_polynom1(k15_pre_poly(B),A,C) = k1_xboole_0 => r2_funct_2(k15_pre_poly(B),u1_struct_0(A),C,k8_polynom1(B,A)) ) ) ) ) )).
fof(t17_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_polynom4(A,k9_polynom3(A),B) = k4_struct_0(A) ) ) )).
fof(t17_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,B,2),k12_polynom3(A,B,B)) ) ) )).
fof(t17_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(B)) & r2_funct_2(k15_pre_poly(A),u1_struct_0(B),C,k4_polynom7(A,B,D)) ) ) ) ) )).
fof(t17_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k2_polynom8(A,B,k1_nat_1(C,1)) = k8_group_1(A,k2_polynom8(A,B,C),B) & k2_polynom8(A,B,k1_nat_1(C,1)) = k8_group_1(A,B,k2_polynom8(A,B,C)) ) ) ) ) )).
fof(t17_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k1_polyred(A,k16_pre_poly(A),C,D),D) ) ) ) ) )).
fof(t17_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( v1_poset_2(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_xxreal_0(k1_lattice7(A,B),2) ) ) ) )).
fof(t17_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ ( ~ ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,C) ) & v1_abian(C) ) & r1_xxreal_0(k1_power(C,B),k1_power(C,A)) ) ) ) ) )).
fof(t17_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => ( k1_msualg_1(B,D) != k1_xboole_0 => r2_tarski(k9_funct_6(E),k4_card_3(k1_funct_6(k12_pralg_2(A,B,C,D)))) ) ) ) ) ) ) )).
fof(t17_pre_circ,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) ) => ! [C] : ( m1_trees_1(C,A) => k1_nat_1(k4_card_1(k5_trees_1(A,C,B)),k4_card_1(k4_trees_1(A,C))) = k1_nat_1(k4_card_1(A),k4_card_1(B)) ) ) ) )).
fof(t17_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k1_nat_1(k3_xcmplx_0(2,A),1),A) ) )).
fof(t17_pre_poly,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k4_partfun1(A,B)) ) )).
fof(t17_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k2_pre_topc(B,D) = k9_subset_1(u1_struct_0(B),k2_pre_topc(A,C),k2_struct_0(B)) ) ) ) ) ) )).
fof(t17_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_partfun1(k3_relset_1(A,A,B),A) ) ) )).
fof(t17_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_prelamb(A,k12_finseq_1(u1_struct_0(A),B),C) => ( r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,D,C)),k2_prelamb(A,D,B)) & r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k1_prelamb(A,C,D)),k1_prelamb(A,B,D)) ) ) ) ) ) ) )).
fof(t17_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(k1_newton(k2_xcmplx_0(1,A),B),k2_xcmplx_0(1,k3_xcmplx_0(k1_newton(3,B),A))) ) ) ) )).
fof(t17_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r2_tarski(k1_prob_1(A,C),B) ) ) )).
fof(t17_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m2_prob_1(D,A,B) => ( ~ ( ~ r1_xxreal_0(1,k3_funct_2(B,k1_numbers,D,C)) & r1_xxreal_0(k3_funct_2(B,k1_numbers,D,k7_prob_1(A,B,k4_prob_1(A,B),C)),k5_numbers) ) & ~ ( ~ r1_xxreal_0(k3_funct_2(B,k1_numbers,D,k7_prob_1(A,B,k4_prob_1(A,B),C)),k5_numbers) & r1_xxreal_0(1,k3_funct_2(B,k1_numbers,D,C)) ) ) ) ) ) ) )).
fof(t17_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => r1_tarski(k1_prob_2(B,k9_setfam_1(B),k3_prob_3(B,C),A),k1_prob_2(B,k9_setfam_1(B),C,A)) ) ) )).
fof(t17_prob_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k1_prob_4(A,k9_setfam_1(A),B,k1_nat_1(C,1)) = k1_measure1(A,k9_setfam_1(A),k1_prob_4(A,k9_setfam_1(A),k3_prob_3(A,B),k1_nat_1(C,1)),k1_prob_4(A,k9_setfam_1(A),B,C)) ) ) ) )).
fof(t17_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k6_cqc_lang(A,k7_cqc_lang(A,B,C)),k9_cqc_lang(A,k6_cqc_lang(A,B),k6_cqc_lang(A,C))),k4_cqc_the1(A)) ) ) ) )).
fof(t17_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,H,B,C) & r1_collsp(A,B,D,I) & r1_collsp(A,C,E,I) & r1_collsp(A,D,F,J) & r1_collsp(A,E,G,J) & r1_collsp(A,B,F,K) & r1_collsp(A,C,G,K) ) => ( B = C | r1_projdes1(A,B,D,F,H) | r1_collsp(A,C,E,G) | r1_collsp(A,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ~ ( ~ ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => r4_projpl_1(A,B,C,D) ) ) ) & ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u2_incsp_1(A)) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) ) ) ) & ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => r1_incsp_1(A,B,C) ) ) ) ) )).
fof(t17_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v8_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & ? [F] : ( m1_subset_1(F,u1_incsp_1(A)) & r1_incsp_1(A,C,B) & r1_incsp_1(A,D,B) & r1_incsp_1(A,E,B) & r1_incsp_1(A,F,B) & r2_zfmisc_1(C,D,E,F) ) ) ) ) ) ) )).
fof(t17_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u1_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(A)) => ! [R] : ( m1_subset_1(R,u2_incsp_1(A)) => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,G),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,I,E),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,E,H),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,E),Q) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,J),R) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,G,H),K) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,H,J),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,J,F),M) & r1_incsp_1(A,F,Q) ) => ( r1_incsp_1(A,B,N) | r1_incsp_1(A,B,P) | r1_incsp_1(A,C,O) | r1_incsp_1(A,C,P) | r1_incsp_1(A,C,R) | r1_projred2(A,N,O,P) | B = C | N = R | ( ~ r1_incsp_1(A,F,N) & ~ r1_incsp_1(A,F,R) & C != F ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_prvect_1(B,A) => ( ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => v1_binop_1(k9_prvect_1(A,B,C),k1_funct_1(A,C)) ) => v1_binop_1(k12_prvect_1(A,B),k4_card_3(A)) ) ) ) )).
fof(t17_prvect_3,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_prvect_2(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B)))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k7_finseq_1(A,B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_prvect_2(B))) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & D = F & E = G & k1_binop_1(C,D,E) = k7_finseq_1(F,G) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)))) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,k3_rlvect_1(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)),D,E)) = k3_rlvect_1(k14_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,D),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)))) => ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,k1_rlvect_1(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)),D,E)) = k1_rlvect_1(k14_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,k4_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)))) = k4_struct_0(k14_prvect_2(k7_finseq_1(A,B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)))) => k2_normsp_0(k14_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,D)) = k2_normsp_0(k7_prvect_3(k14_prvect_2(A),k14_prvect_2(B)),D) ) ) ) ) )).
fof(t17_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v2_compts_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & v1_pscomp_1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r1_tarski(B,C) => r1_xxreal_0(k2_pscomp_1(k1_pre_topc(A,B),k3_pscomp_1(A,D,B)),k2_pscomp_1(k1_pre_topc(A,C),k3_pscomp_1(A,D,C))) ) ) ) ) ) )).
fof(t17_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,C,k1_nat_1(B,1)),k7_pua2mss1(A,k8_pua2mss1(A,C,B))) ) ) ) )).
fof(t17_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,k2_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)),k1_pzfmisc1(A,B)) => r6_pboole(A,B,C) ) ) ) )).
fof(t17_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k6_qc_lang1(A),k8_qc_lang1(A,B)) => ( k1_xtuple_0(C) != k5_numbers & k1_xtuple_0(C) != 1 & k1_xtuple_0(C) != 2 & k1_xtuple_0(C) != 3 ) ) ) ) )).
fof(t17_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k7_qc_lang2(A,D,F,B) = k7_qc_lang2(A,E,G,C) => ( D = E & F = G & B = C ) ) ) ) ) ) ) ) ) )).
fof(t17_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v3_qc_lang2(B,A) => k24_qc_lang1(A,B) = k4_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,k13_qc_lang2(A,B)),k24_qc_lang1(A,k14_qc_lang2(A,B))) ) ) ) )).
fof(t17_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ( k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C) = B <=> C = k1_xboole_0 ) ) ) ) )).
fof(t17_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(B),k3_cqc_lang(B)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(B),k3_qc_lang1(B)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(B),k3_qc_lang1(B)) => ! [F] : ( m2_subset_1(F,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ( F = C & G = D & H = E ) => k4_substut2(A,F,G,H) = k4_substut2(B,C,D,E) ) ) ) ) ) ) ) ) ) )).
fof(t17_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v18_quantal1(B,A) => ( k1_quantal1(A,C,B) = k1_quantal1(A,k1_quantal1(A,k1_quantal1(A,C,B),B),B) & k2_quantal1(A,C,B) = k2_quantal1(A,k2_quantal1(A,k2_quantal1(A,C,B),B),B) ) ) ) ) ) )).
fof(t17_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => k22_quaterni(A,k21_quaterni(B,C)) = k21_quaterni(k22_quaterni(A,B),k22_quaterni(A,C)) ) ) ) )).
fof(t17_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k1_square_1(k27_quaterni(k22_quaterni(A,B))) = k3_xcmplx_0(k1_square_1(k27_quaterni(A)),k1_square_1(k27_quaterni(B))) ) ) )).
fof(t17_quaterni,axiom,( k9_quaterni(k10_quaterni,k11_quaterni) = k1_xcmplx_0 )).
fof(t17_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k1_quin_1(A,B,C),k5_numbers) & r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)),k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A))) ) ) ) ) )).
fof(t17_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( k8_quofield(A,B,k13_quofield(A,B)) = k11_quofield(A) & k8_quofield(A,k13_quofield(A,B),B) = k11_quofield(A) ) ) ) )).
fof(t17_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,1) & m2_finseq_1(B,k4_numbers) ) => ( k7_partfun1(k4_numbers,B,1) = A => B = k9_finseq_1(A) ) ) ) )).
fof(t17_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k3_radix_1(C)) ) => ( ( r1_xxreal_0(2,C) & r2_tarski(A,k2_finseq_1(k2_xcmplx_0(B,1))) ) => m2_subset_1(k8_radix_3(A,C,B,D),k4_numbers,k4_radix_3(C)) ) ) ) ) ) )).
fof(t17_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(2,C) => k2_xcmplx_0(k8_radix_1(A,C,k4_radix_5(A,B,C)),k8_radix_1(A,C,k2_radix_5(A,B,C))) = k8_radix_1(A,C,k10_radix_1(C,A,k5_numbers)) ) ) ) ) ) )).
fof(t17_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ( r1_xxreal_0(2,B) => k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C)),k8_radix_1(k2_xcmplx_0(A,2),B,k8_radix_6(A,B,C))) = k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,2),B,C),k8_radix_1(k2_xcmplx_0(A,2),B,k10_radix_1(B,k2_xcmplx_0(A,2),k5_numbers))) ) ) ) ) )).
fof(t17_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v7_ordinal1(B) & ! [C] : ( v1_finset_1(C) => ! [D] : ( m1_eqrel_1(D,k3_group_10(C,2)) => ~ ( r1_xxreal_0(B,k4_card_1(C)) & k4_card_1(D) = 2 & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(C)) => ~ ( r1_xxreal_0(A,k4_card_1(E)) & r1_ramsey_1(C,2,E,D) ) ) ) ) ) ) ) )).
fof(t17_random_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ~ ( v3_prob_1(B) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k1_prob_1(A,B) != k8_nat_1(k9_setfam_1(A),B,D) ) ) ) ) ) )).
fof(t17_random_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m2_prob_1(C,A,k1_random_1(A)) => ! [D] : ( m2_prob_1(D,B,k1_random_1(B)) => ! [E] : ! [F] : ( ( r2_tarski(E,A) & r2_tarski(F,B) ) => k12_supinf_2(k2_random_2(A,B,C,D),k1_tarski(k4_tarski(E,F))) = k1_extreal1(k12_supinf_2(C,k1_tarski(E)),k12_supinf_2(D,k1_tarski(F))) ) ) ) ) ) )).
fof(t17_random_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & v1_random_3(C,A,B,k1_random_1(A),k1_random_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( r2_tarski(D,k1_random_1(B)) => k12_supinf_2(k2_random_3(A,B,k1_random_1(A),k1_random_1(B),k2_random_1(A),C),D) = k7_xcmplx_0(k4_card_1(k8_relset_1(A,B,C,D)),k4_card_1(A)) ) ) ) ) )).
fof(t17_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,F) => r1_struct_0(k1_ranknull(A,B,C,D),k5_algstr_0(B,E,F)) ) ) ) ) ) ) ) )).
fof(t17_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( v1_int_1(A) => ( k1_rat_1(A) = 1 & k2_rat_1(A) = A ) ) ) )).
fof(t17_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_hurwitz(A,C,B) & v1_polynom5(B,A) ) => r2_ratfunc1(A,B,C) ) ) ) ) )).
fof(t17_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_rcomp_1(B,A) => ! [C] : ( m1_rcomp_1(C,A) => ? [D] : ( m1_rcomp_1(D,A) & r1_tarski(D,B) & r1_tarski(D,C) ) ) ) ) )).
fof(t17_rcomp_3,axiom,( ! [A] : ( ( v5_xxreal_2(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(k3_seq_4(A),A) => ( r2_hidden(k2_seq_4(A),A) | A = k3_rcomp_1(k3_seq_4(A),k2_seq_4(A)) ) ) ) )).
fof(t17_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(A,B) & k8_nat_1(k4_ordinal1,k2_real_3(D,C),A) = k5_numbers ) => ( A = k5_numbers | k8_nat_1(k4_ordinal1,k2_real_3(D,C),B) = k5_numbers ) ) ) ) ) ) )).
fof(t17_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,k1_funcsdom(A,k1_numbers,k4_real_lat(A),C,B)),B) ) ) ) )).
fof(t17_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_real_ns1(A))))) ) => ( ( r1_funct_2(k4_ordinal1,u1_struct_0(k4_real_ns1(A)),k4_ordinal1,u1_struct_0(k7_real_ns1(A)),B,C) & v1_rsspace3(B,k4_real_ns1(A)) ) => v1_bhsp_3(C,k7_real_ns1(A)) ) ) ) ) )).
fof(t17_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k8_group_1(A,k4_struct_0(A),k5_struct_0(A)) = k4_struct_0(A) ) )).
fof(t17_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_rlvect_1(A,B,C) = D <=> k4_binop_1(u1_struct_0(A),k1_realset3(A),D,C) = B ) ) ) ) ) )).
fof(t17_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => r2_classes1(k3_rearran1(B,A,D,C),k20_rfunct_3(B,C,B)) ) ) ) ) ) )).
fof(t17_relat_1,axiom,( ! [A] : ! [B] : k1_relat_1(k1_tarski(k4_tarski(A,B))) = k2_tarski(A,B) )).
fof(t17_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( r1_tarski(k4_relat_1(B),C) => ( r1_tarski(B,k1_relset_1(A,C)) & B = k2_relset_1(B,C) ) ) ) )).
fof(t17_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => k7_relset_1(A,B,D,C) = k3_tarski(a_4_0_relset_2(A,B,C,D)) ) ) )).
fof(t17_revrot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_finseq_6(D,B) & m2_finseq_1(D,B) ) => ( ( r2_tarski(C,k10_xtuple_0(D)) & r1_xxreal_0(k3_finseq_1(k2_finseq_5(B,D,C)),A) & r1_xxreal_0(A,k3_finseq_1(D)) ) => k7_partfun1(B,k1_finseq_6(B,D,C),A) = k7_partfun1(B,D,k7_nat_d(k1_nat_1(A,k4_finseq_4(D,C)),k3_finseq_1(D))) ) ) ) ) ) )).
fof(t17_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( m1_rewrite1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(B)) & r1_xxreal_0(C,D) ) => r1_rewrite1(A,k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) )).
fof(t17_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ( ( v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) & r2_rewrite2(A,B,C,D) ) => r2_rewrite2(A,B,D,C) ) ) ) ) )).
fof(t17_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k8_afinsq_1(E))) => ! [G] : ( l1_rewrite3(G,F) => ( ( v1_relat_1(u1_rewrite3(F,G)) & v1_funct_1(u1_rewrite3(F,G)) & r1_rewrite3(F,G,A,B,C) & r1_rewrite3(F,G,A,B,D) ) => C = D ) ) ) ) )).
fof(t17_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k3_finseq_1(A),B) => k18_rvsum_1(k3_rfinseq(k2_rfinseq(k1_numbers,B,A))) = k1_funct_1(A,k1_nat_1(B,1)) ) ) ) )).
fof(t17_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v7_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => ( r1_xxreal_0(C,B) | r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ) ) ) ) )).
fof(t17_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k24_valued_1(A,k3_xcmplx_0(B,C)) = k24_valued_1(k24_valued_1(A,C),B) ) ) ) )).
fof(t17_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) ) => k2_funct_1(k5_relat_1(B,A)) = k5_relat_1(k2_funct_1(B),k7_relat_1(B,A)) ) )).
fof(t17_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k3_binop_1(k3_rfunct_3(A,k1_numbers),k13_rfunct_3(A)) = k7_funcop_1(k2_subset_1(A),k5_numbers) ) )).
fof(t17_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( r1_rfunct_4(A,B) <=> ( r1_tarski(B,k9_xtuple_0(A)) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(E,B) ) => ( r1_xxreal_0(E,C) | r1_xxreal_0(D,E) | ( ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),k6_xcmplx_0(D,C)),k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,E),k1_funct_1(A,C)),k6_xcmplx_0(E,C))) & ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,E)),k6_xcmplx_0(D,E)),k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),k6_xcmplx_0(D,C))) ) ) ) ) ) ) ) ) ) )).
fof(t17_rinfsup1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v4_partfun3(B) => v4_partfun3(k1_valued_0(k1_numbers,B,A)) ) ) ) )).
fof(t17_rinfsup2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v10_mesfunc5(k1_valued_0(k6_numbers,B,A)) => ( v10_mesfunc5(B) & k2_mesfunc5(B) = k2_mesfunc5(k1_valued_0(k6_numbers,B,A)) ) ) ) ) )).
fof(t17_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_ring_1(B,A) <=> v1_vectsp_2(k2_ring_1(A,B)) ) ) ) )).
fof(t17_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => r2_tarski(k18_mod_2,k9_ringcat1(A)) ) )).
fof(t17_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_rlvect_2(A,k1_rlaffin1(A,k7_rlvect_2(A,B,C),D),k7_rlvect_2(A,k1_rlaffin1(A,B,D),k1_rlaffin1(A,C,D))) ) ) ) ) )).
fof(t17_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_finset_1(k5_setfam_1(u1_struct_0(A),B)) => r1_tarski(k7_relset_1(k1_orders_1(u1_struct_0(A)),u1_struct_0(A),k2_rlaffin2(A),B),k3_convex1(A,k5_setfam_1(u1_struct_0(A),B))) ) ) ) )).
fof(t17_rlaffin3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_finset_1(D) & v1_rlaffin1(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ! [E] : ( m2_rlaffin3(E,A,D) => ! [F] : ( m2_rlaffin3(F,A,k5_rusub_4(A,D,B)) => ( ( r2_tarski(C,k4_rlaffin1(A,D)) & F = k3_fvsum_1(A,E,k5_finseq_2(u1_struct_0(A),k4_card_1(D),B)) ) => k1_rlaffin3(A,D,E,C) = k1_rlaffin3(A,k5_rusub_4(A,D,B),F,k1_algstr_0(A,B,C)) ) ) ) ) ) ) ) )).
fof(t17_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => r1_struct_0(B,k4_struct_0(A)) ) ) )).
fof(t17_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => ( m1_rlsub_1(C,B) <=> k2_rlsub_2(A,C,B) = C ) ) ) ) )).
fof(t17_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k3_convex1(A,B) = B ) ) )).
fof(t17_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_algstr_0(A,k4_algstr_0(A,B)) = B ) ) )).
fof(t17_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_rlvect_2(A,k5_subset_1(u1_struct_0(A),C,B)) = k5_algstr_0(A,k2_rlvect_2(A,k4_subset_1(u1_struct_0(A),C,B)),k2_rlvect_2(A,k9_subset_1(u1_struct_0(A),C,B))) ) ) ) )).
fof(t17_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k1_rlvect_3(A,B) = k1_rlsub_1(A) & B != k1_xboole_0 & B != k6_domain_1(u1_struct_0(A),k4_struct_0(A)) ) ) ) )).
fof(t17_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) => ( B = C | v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,k5_algstr_0(A,C,B)),A) ) ) ) ) ) )).
fof(t17_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlvect_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( D = k7_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C)) & r1_struct_0(k1_rlvect_3(A,D),C) ) ) ) ) ) ) ) )).
fof(t17_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(B,k2_rlvect_x(A,k6_domain_1(u1_struct_0(A),B))) ) ) )).
fof(t17_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => r1_struct_0(C,k4_struct_0(B)) ) ) ) )).
fof(t17_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ( ! [D] : ( ( v2_vectsp_2(D,A) & m1_rmod_2(D,A,B) ) => ( m1_rmod_2(D,A,C) => k2_rmod_3(A,B,D,C) = D ) ) & ! [D] : ( m1_rmod_2(D,A,B) => ( k2_rmod_3(A,B,D,C) = D => m1_rmod_2(D,A,C) ) ) ) ) ) ) )).
fof(t17_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_rmod_4(D,A,B) => ( k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) = k4_struct_0(A) <=> ~ r2_tarski(C,k2_rmod_4(A,B,D)) ) ) ) ) ) )).
fof(t17_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_robbins1(A,B,C) = k3_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) )).
fof(t17_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),B)),C)) = k3_robbins1(A,k1_lattices(A,C,C)) ) ) ) )).
fof(t17_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_lattices(B) ) => ( g1_lattices(u1_struct_0(A),u1_lattices(A)) = g1_lattices(u1_struct_0(B),u1_lattices(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => k2_lattices(A,C,D) = k2_lattices(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t17_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_robbins4)) => ( ( A = k6_subset_1(3,1) & B = 1 ) => ( k13_lattice3(k1_robbins4,A,B) = 3 & k12_lattice3(k1_robbins4,A,B) = k5_numbers ) ) ) ) )).
fof(t17_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k3_roughs_1(A,B) <=> B = k4_roughs_1(A,B) ) ) ) )).
fof(t17_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k3_roughs_1(A,B),k4_roughs_1(A,B)) ) ) )).
fof(t17_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_isomichi(B,A) <=> v4_roughs_1(B,A) ) ) ) )).
fof(t17_rsspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k1_funct_1(A,B)) ) & v1_series_1(A) & k4_series_1(A) = k5_numbers ) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_numbers ) ) ) )).
fof(t17_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_rsspace4(A,B))) => r1_xxreal_0(k5_numbers,k2_normsp_0(k9_rsspace4(A,B),C)) ) ) ) )).
fof(t17_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_struct_0(B,C) & r1_struct_0(B,D) ) => r1_struct_0(B,k5_algstr_0(A,C,D)) ) ) ) ) ) )).
fof(t17_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => ( m1_rusub_1(C,B) <=> k2_rusub_2(A,C,B) = C ) ) ) ) )).
fof(t17_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(k3_rlvect_2(A,B),u1_struct_0(k1_rusub_3(A,C))) & ! [D] : ( m2_rlvect_2(D,A,C) => k6_rlvect_2(A,B) != k6_rlvect_2(A,D) ) ) ) ) ) )).
fof(t17_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( r1_rusub_2(A,B,C) => k1_rusub_4(A) = k1_nat_1(k1_rusub_4(B),k1_rusub_4(C)) ) ) ) ) )).
fof(t17_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => k1_rusub_5(A,B,k6_domain_1(u1_struct_0(A),D)) = k1_rusub_5(A,B,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(t17_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k1_funct_1(k30_valued_1(B),A) = k4_xcmplx_0(k1_funct_1(B,A)) ) )).
fof(t17_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k5_rvsum_2(k7_rvsum_2(A,B)) = k3_rvsum_2(k5_rvsum_2(A),B) ) ) )).
fof(t17_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => r1_tarski(k5_rvsum_3(A),k4_finseq_1(A)) ) )).
fof(t17_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k4_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1))),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),k10_ami_3(k5_numbers)) = k6_xcmplx_0(B,C) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ( E != k10_ami_3(k5_numbers) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(t17_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v2_scm_halt(C) ) => ( ~ r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A),E)) ) ) ) ) ) ) )).
fof(t17_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = k5_numbers => k6_compos_0(u1_compos_1(k1_scmfsa_2),A) = k1_tarski(k5_numbers) ) ) )).
fof(t17_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => r1_ordinal1(k2_afinsq_1(A),k2_afinsq_1(k2_scmfsa6a(A,B))) ) ) )).
fof(t17_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(C) ) => ( ~ r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ! [E] : ( v7_ordinal1(E) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B,E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,E)) ) ) ) ) ) ) )).
fof(t17_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_scmfsa_2(C) => ~ r3_scmfsa7b(k17_scmfsa_2(B,C),A) ) ) ) )).
fof(t17_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r1_scmfsa8a(A,B,C) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k2_scmfsa8a(A,B,C),D) => ( r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),D)),k2_afinsq_1(C)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),D)) != k2_compos_1(k1_scmfsa_2) ) ) ) ) ) ) ) )).
fof(t17_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( v6_amistd_1(k1_scmfsa8b(E,C,D),k5_card_1(3),k1_scmfsa_2) & ( k1_funct_1(B,E) = k5_numbers => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A),k1_funct_4(k1_scmfsa6b(C,B,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),3)))) ) & ( k1_funct_1(B,E) != k5_numbers => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A),k1_funct_4(k1_scmfsa6b(D,B,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),3)))) ) ) ) ) ) ) ) )).
fof(t17_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(D,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_tarski(E,A) & r1_tarski(E,B) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) ) => ! [F] : ( v7_ordinal1(F) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,F)) ) ) ) ) ) ) ) ) )).
fof(t17_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( r5_scmfsa7b(D,B,A) & k1_funct_1(B,C) = k5_numbers ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B)),2))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B)))) ) ) ) ) ) )).
fof(t17_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( m1_subset_1(B,k3_scm_inst) => m1_subset_1(k11_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1),A,k1_ami_2),k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) ) ) )).
fof(t17_scmfsa_2,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) ) )).
fof(t17_scmfsa_m,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k3_scmfsa_2)) ) => ( k3_scmfsa_m(C) = k5_scmfsa_2(A) => ( r2_tarski(k5_scmfsa_2(B),C) | r1_xxreal_0(A,B) ) ) ) ) ) )).
fof(t17_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k4_scmfsa_x(A,B),2) = k11_scmfsa_2(k1_nat_1(k4_card_1(B),4)) ) ) )).
fof(t17_scmisort,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scm_halt(A) & v1_scmfsa7b(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ~ ( r1_xxreal_0(k1_funct_1(C,B),k1_funct_1(k1_scmfsa6b(A,C,D),B)) & ~ r1_xxreal_0(k1_funct_1(k1_scmfsa6b(A,C,D),B),k5_numbers) ) ) ) => v1_scm_halt(k4_scmfsa_x(B,A)) ) ) ) )).
fof(t17_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k8_scmpds_2(C,A,B)) = 5 ) ) ) )).
fof(t17_scmpds_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & ~ v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_finset_1(D) & v4_extpro_1(D,k5_card_1(2),k1_scmpds_2,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmpds_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(k1_scmpds_2)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(F,u1_struct_0(k1_scmpds_2)) ) => ( ( r1_tarski(D,E) & r1_tarski(D,F) & r1_tarski(C,A) & r1_tarski(C,B) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_scmpds_2)) ) => ! [J] : ( v1_int_1(J) => ! [K] : ( v1_int_1(K) => ( ( k3_extpro_1(k5_card_1(2),k1_scmpds_2,A,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) = k9_scmpds_2(I,J,K) & H = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G)) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(H,K)) ) => ( K = 1 | ( ~ ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),I),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),I),J))) ) & ~ ( ~ r1_xxreal_0(k5_numbers,k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,F,G),I),J))) & r1_xxreal_0(k5_numbers,k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),k2_scmpds_2(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,E,G),I),J))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmpds_2)) => k3_scmpds_4(k4_scmpds_4(A,B),C) = k2_scmpds_4(A,k4_scmpds_4(B,C)) ) ) ) )).
fof(t17_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(C,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v2_scmpds_4(D) ) => ( ( r1_tarski(k10_compos_1(k1_scmpds_2,D),A) & r1_tarski(k10_compos_1(k1_scmpds_2,D),B) ) => ( k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,C) = k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,C) & k6_extpro_1(k5_card_1(2),k1_scmpds_2,A,C) = k6_extpro_1(k5_card_1(2),k1_scmpds_2,B,C) ) ) ) ) ) ) )).
fof(t17_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k8_scmpds_2(A,B,C) != k2_compos_1(k1_scmpds_2) ) ) ) )).
fof(t17_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) ) => ~ ( r1_tarski(k10_compos_1(k1_scmpds_2,C),A) & r2_scmpds_6(C,B,A) & r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B),k5_numbers) ) ) ) ) )).
fof(t17_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k4_card_1(k2_scmpds_8(A,B,C)) = k1_nat_1(k4_card_1(C),2) ) ) ) )).
fof(t17_scmpds_9,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => k2_amistd_1(k5_card_1(2),k1_scmpds_2,k4_scmpds_2(A)) = a_0_0_scmpds_9 ) )).
fof(t17_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmring2(A))) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(D,u1_struct_0(k1_scmring2(A))) ) => ( k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),k7_scmring2(A,C,B),D),k4_struct_0(k1_scmring2(A))) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(A),D),1) & k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k7_scmring2(A,C,B),D),C) = B & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmring2(A))) ) => ( E != C => k2_scmring2(A,k2_extpro_1(k5_card_1(2),k1_scmring2(A),k7_scmring2(A,C,B),D),E) = k2_scmring2(A,D,E) ) ) ) ) ) ) ) )).
fof(t17_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = 5 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => B != k7_scmring2(A,C,D) ) ) ) ) ) )).
fof(t17_scmyciel,axiom,( ! [A] : ( v1_scmyciel(A) => k1_scmyciel(A) = k1_xboole_0 ) )).
fof(t17_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) ) => ! [G] : ( v1_int_1(G) => ! [H] : ( v1_int_1(H) => ( ( k1_funct_1(B,D) = H & k1_funct_1(B,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(B,E),k1_funct_1(B,F)) & ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,u1_struct_0(k1_scmpds_2)) & v1_funct_1(I) & v5_funct_1(I,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(I,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(I,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,k4_ordinal1) & v5_relat_1(J,u1_compos_1(k1_scmpds_2)) & v1_funct_1(J) & v1_partfun1(J,k4_ordinal1) ) => ( ( k1_funct_1(I,D) = H & k1_funct_1(I,k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(I,E),k1_funct_1(I,F)) ) => ( r1_xxreal_0(k1_funct_1(I,E),k5_numbers) | r1_xxreal_0(k1_funct_1(I,F),k5_numbers) | k1_funct_1(I,E) = k1_funct_1(I,F) | ( k1_funct_1(k6_scmpds_4(C,I,J),D) = H & r1_scmpds_6(C,I,J) & r2_scmpds_6(C,I,J) & ( ~ r1_xxreal_0(k1_funct_1(I,E),k1_funct_1(I,F)) => ( k1_funct_1(k6_scmpds_4(C,I,J),E) = k6_xcmplx_0(k1_funct_1(I,E),k1_funct_1(I,F)) & k1_funct_1(k6_scmpds_4(C,I,J),F) = k1_funct_1(I,F) ) ) & ( r1_xxreal_0(k1_funct_1(I,E),k1_funct_1(I,F)) => ( k1_funct_1(k6_scmpds_4(C,I,J),F) = k6_xcmplx_0(k1_funct_1(I,F),k1_funct_1(I,E)) & k1_funct_1(k6_scmpds_4(C,I,J),E) = k1_funct_1(I,E) ) ) & k1_funct_1(k6_scmpds_4(C,I,J),k2_scmpds_2(H,G)) = k6_xcmplx_0(k1_funct_1(k6_scmpds_4(C,I,J),E),k1_funct_1(k6_scmpds_4(C,I,J),F)) ) ) ) ) ) ) => ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) | r1_xxreal_0(k1_funct_1(B,F),k5_numbers) | ( k1_funct_1(k6_scmpds_4(k3_scpinvar(D,G,C),B,A),E) = k3_int_2(k1_funct_1(B,E),k1_funct_1(B,F)) & k1_funct_1(k6_scmpds_4(k3_scpinvar(D,G,C),B,A),F) = k3_int_2(k1_funct_1(B,E),k1_funct_1(B,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( m2_finseq_1(C,k4_numbers) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(6,E) & k3_finseq_1(C) = F & k3_finseq_1(D) = F & r1_scpisort(C,B,E) & r1_scpisort(D,k6_scmpds_4(k1_scpisort(F,k1_nat_1(E,1)),B,A),E) ) => ( r2_classes1(C,D) & r3_graph_2(D,1,F) ) ) ) ) ) ) ) ) )).
fof(t17_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_analoaf(A,B,D,E,F) & r2_analoaf(A,C,D,E,F) ) => ( r2_analoaf(A,B,C,B,D) | E = F ) ) ) ) ) ) ) ) )).
fof(t17_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k32_valued_1(k4_ordinal1,k1_numbers,A),k26_valued_1(k4_ordinal1,k1_numbers,A,k4_xcmplx_0(1))) ) )).
fof(t17_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k1_funct_1(A,B)) ) ) => r1_xxreal_0(k5_numbers,k1_seq_2(A)) ) ) )).
fof(t17_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( m2_valued_0(B,k1_numbers,A) & v2_comseq_2(A) ) => k1_seq_2(B) = k1_seq_2(A) ) ) ) )).
fof(t17_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k5_seqfunc(A,k9_seqfunc(A,C,B)),k9_seqfunc(A,k5_seqfunc(A,C),k5_seqfunc(A,B))) ) ) ) )).
fof(t17_seqm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_valued_0(k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A) = k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_valued_0(k1_numbers,B,A),k1_valued_0(k1_numbers,C,A)) ) ) ) )).
fof(t17_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) => ( v1_seq_2(k3_series_1(A)) <=> v1_series_1(A) ) ) ) )).
fof(t17_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(B,4) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,2)),k3_xcmplx_0(3,B)),1)),30) ) ) ) )).
fof(t17_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k2_xcmplx_0(k2_xcmplx_0(A,B),C) = 1 => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,B),k3_xcmplx_0(B,C)),k3_xcmplx_0(A,C)),k7_xcmplx_0(1,3)) ) ) ) ) )).
fof(t17_series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(B,k1_newton(2,B)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(B,k11_newton(2,k1_nat_1(B,1))),k11_newton(2,k1_nat_1(B,1))),2) ) ) ) )).
fof(t17_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ~ ( ~ r1_xxreal_0(k2_xcmplx_0(A,B),C) & ~ r1_xxreal_0(k2_xcmplx_0(B,C),A) & ~ r1_xxreal_0(k2_xcmplx_0(A,C),B) & ~ r1_xxreal_0(k7_xcmplx_0(9,k2_xcmplx_0(k2_xcmplx_0(A,B),C)),k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(1,k6_xcmplx_0(k2_xcmplx_0(A,B),C)),k7_xcmplx_0(1,k6_xcmplx_0(k2_xcmplx_0(B,C),A))),k7_xcmplx_0(1,k6_xcmplx_0(k2_xcmplx_0(C,A),B)))) ) ) ) ) )).
fof(t17_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_setfam_1(A,B) & r1_setfam_1(B,C) ) => r1_setfam_1(A,C) ) )).
fof(t17_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),k2_setlim_1(A,B),k5_numbers) = k3_prob_1(A,B) ) )).
fof(t17_setlim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => k7_nat_1(k9_setfam_1(B),k6_setlim_2(B,D,C),A) = k6_setlim_2(B,k7_nat_1(k9_setfam_1(B),D,A),C) ) ) ) )).
fof(t17_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(C,B) & v2_binop_1(C,B) ) => ! [E] : ( m1_subset_1(E,A) => k7_setwiseo(A,B,C,k2_setwiseo(A,E),D) = k3_funct_2(A,B,D,E) ) ) ) ) ) ) )).
fof(t17_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(D,B) & v2_binop_1(D,B) & v1_setwiseo(D,B) & k3_funct_2(B,B,E,k3_binop_1(B,D)) = k3_binop_1(B,D) & r7_binop_1(B,E,D) ) => k3_funct_2(B,B,E,k7_setwiseo(A,B,D,C,F)) = k7_setwiseo(A,B,D,C,k1_partfun1(A,B,B,B,F,E)) ) ) ) ) ) ) ) )).
fof(t17_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( m1_scmfsa_2(C) => ! [D] : ( m1_subset_1(D,u1_compos_1(k1_scmfsa_2)) => ( ( D = k14_scmfsa_2(B,A,C) | D = k15_scmfsa_2(B,A,C) ) => k1_sf_mastr(D) = k5_scmfsa_m(A,B) ) ) ) ) ) )).
fof(t17_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( r1_sfmastr2(B,A,C,D) => ( ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) != 1 & v1_scmfsa_m(C) ) | ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_funct_1(A,C)) => k2_xcmplx_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(D)))),E) = k1_funct_1(A,C) ) ) ) ) ) ) ) ) )).
fof(t17_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) & v3_compos_1(F,k1_scmfsa_2) & v4_compos_1(F,k1_scmfsa_2) & v6_amistd_1(F,k5_card_1(3),k1_scmfsa_2) ) => r1_sfmastr3(E,B,C,D,F,A) ) ) ) ) ) ) )).
fof(t17_sgraph1,axiom,( ! [A] : ! [B] : ( r2_hidden(B,k3_sgraph1(A)) <=> ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) & ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_sgraph1(C))) & B = g1_sgraph1(C,D) ) ) ) )).
fof(t17_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v7_robbins1(A) & v3_sheffer1(A) & l3_lattices(A) ) => v7_lattices(A) ) )).
fof(t17_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,D,C))) = k5_sheffer1(A,B,C) ) ) ) ) )).
fof(t17_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => r1_tarski(B,k4_simplex0(A)) ) ) ) )).
fof(t17_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( r1_tarski(k3_simplex1(A,B),k2_struct_0(B)) => k5_simplex1(1,A,B) = k4_simplex1(A,B) ) ) ) )).
fof(t17_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & v4_matroid0(C) & v2_simplex2(C,A) & m1_simplex0(C,u1_struct_0(k15_euclid(A))) ) => ( r1_tarski(k3_simplex1(k15_euclid(A),C),k2_struct_0(C)) => r1_xxreal_0(k2_simplex2(A,k5_simplex1(B,k15_euclid(A),C)),k3_xcmplx_0(k1_newton(k7_xcmplx_0(k6_simplex0(C),k2_xcmplx_0(k6_simplex0(C),1)),B),k2_simplex2(A,C))) ) ) ) ) )).
fof(t17_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => r1_xxreal_0(1,k4_series_1(k4_sin_cos(k9_complex1(A)))) ) )).
fof(t17_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => k1_funct_1(k5_sin_cos2,A) = k7_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k3_sin_cos2,A)) ) )).
fof(t17_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k10_funct_2(k2_numbers,k2_numbers,k3_sin_cos3,k3_xcmplx_0(k7_complex1,A)) = k3_xcmplx_0(k7_complex1,k7_partfun1(k2_numbers,k1_sin_cos3,A)) ) )).
fof(t17_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_xcmplx_0(k19_sin_cos(A),k19_sin_cos(B)) = k3_xcmplx_0(2,k3_xcmplx_0(k19_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A,B),2)),k19_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A,B),2)))) ) ) )).
fof(t17_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k19_sin_cos(k3_xcmplx_0(3,A)) = k6_xcmplx_0(k3_xcmplx_0(4,k1_newton(k19_sin_cos(A),3)),k3_xcmplx_0(3,k19_sin_cos(A))) ) )).
fof(t17_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) ) => r1_xxreal_0(k17_sin_cos(A),k5_numbers) ) ) ) )).
fof(t17_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(k7_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(A)))),1) ) ) )).
fof(t17_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(A,B) != k5_numbers => k7_xcmplx_0(k6_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)),k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) = k7_xcmplx_0(k6_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B)),k2_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B))) ) ) ) )).
fof(t17_sin_cos9,axiom,( k1_funct_1(k26_sin_cos,k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))) = k4_xcmplx_0(1) & k1_sin_cos4(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4))) = k4_xcmplx_0(1) )).
fof(t17_sincos10,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t17_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,D)) & r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,D)) & k18_euclid(B) = k18_euclid(C) ) => ( k17_euclid(B) = k17_euclid(C) | v1_sppol_1(k1_rltopsp1(k15_euclid(2),A,D)) ) ) ) ) ) ) )).
fof(t17_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,k2_topreal1(2,A,C)) => r2_tarski(B,k3_topreal1(2,A)) ) ) ) ) )).
fof(t17_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( k11_pscomp_1(A) = k12_pscomp_1(A) => v2_sppol_1(A) ) ) )).
fof(t17_sprect_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,C)) & r1_xxreal_0(k17_euclid(A),k17_euclid(B)) & r1_xxreal_0(k17_euclid(C),k17_euclid(B)) & A != B & B != C & ~ ( k17_euclid(A) = k17_euclid(B) & k17_euclid(C) = k17_euclid(B) ) ) ) ) ) )).
fof(t17_sprect_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v4_topreal1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,k3_finseq_1(B)) & r2_tarski(C,k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),B,1,A))) ) => ( r1_xxreal_0(A,1) | r1_jordan5c(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),C,k7_partfun1(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) ) ) )).
fof(t17_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t17_square_1,axiom,( k3_square_1(k5_numbers) = k5_numbers )).
fof(t17_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ( v1_srings_1(a_3_1_srings_1(A,B,C),C) & m1_subset_1(a_3_1_srings_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(C))) ) ) ) )).
fof(t17_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_stacks_1(A,B,C) => ( r1_stacks_1(A,B) | r2_stacks_1(A,k5_stacks_1(A,B),k5_stacks_1(A,C)) ) ) ) ) ) )).
fof(t17_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ( v2_funct_2(C,k5_card_1(A)) => r1_xxreal_0(A,B) ) ) ) ) )).
fof(t17_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_valuat_1(C,A,B) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ( ~ r1_sublemma(A,E,B,k1_sublemma(A,B,D,k3_sublemma(A,E,B,D)),C) <=> r1_sublemma(A,k5_sublemma(A,E),B,k1_sublemma(A,B,D,k3_sublemma(A,E,B,D)),C) ) ) ) ) ) ) )).
fof(t17_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_tarski(k3_subset_1(A,B),C) => r1_tarski(k3_subset_1(A,C),B) ) ) ) )).
fof(t17_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => r1_tarski(k3_substlat(A,B,k4_substlat(A,B,C,D)),k4_substlat(A,B,k3_substlat(A,B,C),D)) ) ) )).
fof(t17_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ! [D] : ( m1_subset_1(D,k16_substut1(A)) => ! [E] : ( m1_subset_1(E,k16_substut1(A)) => ( ( k19_substut1(A,B) = k19_substut1(A,C) & k19_substut1(A,D) = k19_substut1(A,E) & k21_substut1(A,B,C) = k21_substut1(A,D,E) ) => ( B = D & C = E ) ) ) ) ) ) ) )).
fof(t17_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k6_cqc_lang(A,k4_substut2(A,B,C,D)) = k6_cqc_lang(A,k4_substut2(A,B,C,D)) & ( k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k4_substut2(A,B,C,D)) => k7_cqc_sim1(A,k6_cqc_lang(A,B)) = k7_cqc_sim1(A,k6_cqc_lang(A,k4_substut2(A,B,C,D))) ) ) ) ) ) ) )).
fof(t17_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => r1_xxreal_0(k10_supinf_2(k6_numbers,A,k5_supinf_2(B,C),k13_supinf_2(A,B,C,D,E)),k3_supinf_2(k10_supinf_2(k6_numbers,A,B,D),k10_supinf_2(k6_numbers,A,C,E))) ) ) ) ) ) )).
fof(t17_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_orders_2(B,D,C) & F != k4_struct_0(A) & k1_symsp_1(A,B,C,k3_vectsp_1(A,B,F,D),E) != k8_group_1(A,k9_algstr_0(A,F),k1_symsp_1(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(t17_sysrel,axiom,( ! [A] : ( v1_relat_1(A) => ( r1_tarski(A,k4_relat_1(k9_xtuple_0(A))) => A = k4_relat_1(k9_xtuple_0(A)) ) ) )).
fof(t17_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( v4_metric_1(B,A) => r3_relat_2(k1_taxonom1(A,B,C),A) ) ) ) ) )).
fof(t17_taxonom2,axiom,( ! [A] : ! [B] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) ) => ( v6_taxonom2(B,A) => ( r2_tarski(k1_xboole_0,B) | ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_eqrel_1(D,A) => ~ ( r2_tarski(C,D) & r1_tarski(D,B) ) ) ) ) ) ) ) )).
fof(t17_taylor_1,axiom,( r2_fdiff_1(k2_partfun2(k1_numbers,k1_numbers,k22_sin_cos),k1_relset_1(k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k22_sin_cos))) & ! [A] : ( v1_xreal_0(A) => ( r2_hidden(A,k1_relset_1(k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k22_sin_cos))) => k1_fdiff_1(k2_partfun2(k1_numbers,k1_numbers,k22_sin_cos),A) = k7_xcmplx_0(1,A) ) ) )).
fof(t17_taylor_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( k2_fdiff_1(k16_sin_cos,A) = k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A) & k2_fdiff_1(k18_sin_cos,A) = k2_partfun1(k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),A) & k9_xtuple_0(k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A)) = A & k9_xtuple_0(k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A)) = A ) ) )).
fof(t17_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_finset_1(B) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v6_tbsp_1(C,A) ) ) ) => v6_tbsp_1(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t17_tdgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v12_vectsp_1(A) & v1_tdgroup(A) & l2_algstr_0(A) ) => ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = C ) ) => ( ~ v7_struct_0(k2_tdgroup(A)) & v2_tdgroup(k2_tdgroup(A)) & l1_analoaf(k2_tdgroup(A)) ) ) ) )).
fof(t17_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_tops_1(B,A) & v4_tops_1(C,A) ) => ( v4_tops_1(k4_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))),k4_subset_1(u1_struct_0(A),B,C)),A) & v4_tops_1(k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),B,C))),k9_subset_1(u1_struct_0(A),B,C)),A) ) ) ) ) ) )).
fof(t17_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B = k1_tarski(C) => v3_pre_topc(B,A) ) ) ) => v1_tdlat_3(A) ) ) )).
fof(t17_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k4_termord(A,B,C,D) = k4_struct_0(C) <=> r8_pboole(k15_pre_poly(A),D,k8_polynom1(A,C)) ) ) ) ) ) )).
fof(t17_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A,B) = B ) => v1_tdlat_3(A) ) ) )).
fof(t17_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v13_struct_0(B,1) & m1_pre_topc(B,A) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(k1_tex_2(A,C)),u1_pre_topc(k1_tex_2(A,C))) ) ) ) )).
fof(t17_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_tops_3(B,A) & ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & v2_tex_3(C,A) & m1_pre_topc(C,A) ) => B != u1_struct_0(C) ) ) ) ) )).
fof(t17_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_tex_4(B,A) & v4_pre_topc(B,A) ) => v3_tex_4(B,A) ) ) ) )).
fof(t17_tietze,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v10_pre_topc(B) => ( r1_xxreal_0(A,k5_numbers) | ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(B,C)),u1_struct_0(k3_topmetr)) & v5_pre_topc(D,k1_pre_topc(B,C),k3_topmetr) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B,C)),u1_struct_0(k3_topmetr)))) ) => ~ ( r1_tietze(D,A,C) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(k3_topmetr)) & v5_pre_topc(E,B,k3_topmetr) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k3_topmetr)))) ) => ~ ( r1_tietze(E,k7_xcmplx_0(A,3),k1_relset_1(u1_struct_0(B),E)) & r1_tietze(k45_valued_1(D,E),k7_xcmplx_0(k3_xcmplx_0(2,A),3),C) ) ) ) ) ) ) ) ) ) )).
fof(t17_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(B))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ~ ( ~ r1_xxreal_0(G,k5_numbers) & ~ r1_xxreal_0(H,k5_numbers) & ? [I] : ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(C),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,E,k2_finseq_2(A,G))))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,E,k2_finseq_2(A,G))))))) & ? [J] : ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(D),u1_struct_0(k1_pre_topc(k15_euclid(B),k3_tietze_2(B,F,k2_finseq_2(B,H))))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(k1_pre_topc(k15_euclid(B),k3_tietze_2(B,F,k2_finseq_2(B,H))))))) & v3_tops_2(I,C,k1_pre_topc(k15_euclid(A),k3_tietze_2(A,E,k2_finseq_2(A,G)))) & v3_tops_2(J,D,k1_pre_topc(k15_euclid(B),k3_tietze_2(B,F,k2_finseq_2(B,H)))) & ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(k2_borsuk_1(C,D)),u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k3_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),k2_finseq_2(k2_xcmplx_0(A,B),1))))) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(C,D)),u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k3_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),k2_finseq_2(k2_xcmplx_0(A,B),1))))))) ) => ~ ( v3_tops_2(K,k2_borsuk_1(C,D),k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k3_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),k2_finseq_2(k2_xcmplx_0(A,B),1)))) & ! [L] : ( m1_subset_1(L,u1_struct_0(C)) => ! [M] : ( m1_subset_1(M,u1_struct_0(D)) => ( ( r2_tarski(k3_funct_2(u1_struct_0(C),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,E,k2_finseq_2(A,G)))),I,L),k2_tietze_2(A,E,G)) & r2_tarski(k3_funct_2(u1_struct_0(D),u1_struct_0(k1_pre_topc(k15_euclid(B),k3_tietze_2(B,F,k2_finseq_2(B,H)))),J,M),k2_tietze_2(B,F,H)) ) <=> r2_tarski(k1_binop_1(K,L,M),k2_tietze_2(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( m1_pre_topc(B,C) => ( ~ r1_tsep_1(B,C) & ~ r1_tsep_1(C,B) ) ) ) ) ) )).
fof(t17_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ( m1_toler_1(C,A,B) => m1_toler_1(k3_xboole_0(C,D),A,B) ) ) )).
fof(t17_topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k15_euclid(A),k17_borsuk_1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A),k17_borsuk_1)),u1_struct_0(k15_euclid(A))))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_borsuk_1)) => k1_binop_1(B,C,D) = k1_rlvect_1(k15_euclid(A),C,k6_xcmplx_0(1,D)) ) ) => v5_pre_topc(B,k2_borsuk_1(k15_euclid(A),k17_borsuk_1),k15_euclid(A)) ) ) ) )).
fof(t17_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_topmetr)) => ! [B] : ( m1_borsuk_2(B,k5_topmetr,A,A) => u1_struct_0(k5_topalg_1(k5_topmetr,A)) = k1_tarski(k6_eqrel_1(k2_topalg_1(k5_topmetr,A),k2_topalg_1(k5_topmetr,A),k4_topalg_1(k5_topmetr,A),B)) ) ) )).
fof(t17_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),B)),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k1_pre_topc(A,D),B)),u1_struct_0(C)))) ) => ( ( F = k2_partfun1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C),E,k2_zfmisc_1(D,u1_struct_0(B))) & v5_pre_topc(E,k2_borsuk_1(A,B),C) ) => v5_pre_topc(F,k2_borsuk_1(k1_pre_topc(A,D),B),C) ) ) ) ) ) ) ) )).
fof(t17_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_6(I,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) => ! [J] : ( m1_borsuk_2(J,A,C,D) => ! [K] : ( m1_borsuk_2(K,A,C,D) => ( ( r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),J,k3_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),K,k3_topalg_4(A,B,k5_topmetr,H)) & r3_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) ) => m1_borsuk_6(k3_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),A,C,D,J,K) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => v1_connsp_2(k4_topmetr(A,B)) ) ) ) )).
fof(t17_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => v3_topalg_6(C,A,B) ) ) => v1_topalg_6(A) ) ) )).
fof(t17_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_topdim_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_topdim_1(k1_pre_topc(A,B)) = k2_topdim_1(A,B) ) ) )).
fof(t17_topdim_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k14_euclid(1))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k9_finseq_1(C) = A => k9_metric_1(k14_euclid(1),A,B) = a_2_0_topdim_2(B,C) ) ) ) ) )).
fof(t17_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_topgen_1(A,B)) <=> ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,k9_subset_1(u1_struct_0(A),B,D)) & C != E ) ) ) ) ) ) ) ) )).
fof(t17_topgen_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_pre_topc(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_pre_topc(A)))) ) => ( ( B = k2_relset_1(u1_pre_topc(A),C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_funct_1(C,D)) & ! [E] : ( ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(D,E) => r1_tarski(k1_funct_1(C,D),E) ) ) ) ) ) => k2_waybel23(A) = k1_card_1(B) ) ) ) ) )).
fof(t17_topgen_3,axiom,( k1_card_1(k3_numbers) = k4_ordinal1 )).
fof(t17_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( ( v4_topgen_4(B,A) & v1_prob_1(B,A) ) => ( v3_topgen_4(B,A) & v1_prob_1(B,A) ) ) & ( ( v3_topgen_4(B,A) & v1_prob_1(B,A) ) => ( v4_topgen_4(B,A) & v1_prob_1(B,A) ) ) ) ) )).
fof(t17_topgen_5,axiom,( ! [A] : ! [B] : ( r2_tarski(k10_finseq_1(A,B),k2_topgen_5) <=> ( r2_tarski(A,k1_numbers) & ? [C] : ( v1_xreal_0(C) & B = C & r1_xxreal_0(k5_numbers,C) ) ) ) )).
fof(t17_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_relset_1(u1_struct_0(A),u1_struct_0(A),k2_topgrp_1(A,C),B) = k5_group_2(A,C,B) ) ) ) )).
fof(t17_topmetr,axiom,( u1_struct_0(k3_topmetr) = k1_numbers )).
fof(t17_topreal1,axiom,( k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers))) = k1_tarski(k19_euclid(k5_numbers,k5_numbers)) )).
fof(t17_topreal3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A))) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A))) ) => k2_topreal1(2,A,C) = k2_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A),C) ) ) ) ) )).
fof(t17_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ~ ( A != k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & v4_topreal1(B) & r2_tarski(A,k2_topreal1(2,B,C)) & ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ~ ( v4_topreal1(D) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,k3_finseq_1(D)) = A & r1_topreal4(k3_topreal1(2,D),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,D),k3_topreal1(2,B)) & k3_topreal1(2,D) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),C,B)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),A)) ) ) ) ) ) ) )).
fof(t17_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( v1_topreal2(A) & r1_xxreal_0(k8_pscomp_1(A),k6_pscomp_1(A)) ) ) )).
fof(t17_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ( k3_seq_4(k2_rcomp_1(A,B)) = A & k2_seq_4(k2_rcomp_1(A,B)) = B ) ) ) ) )).
fof(t17_topreal7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( k3_finseq_1(B) = A => r2_tarski(B,u1_struct_0(k15_euclid(A))) ) ) ) )).
fof(t17_topreal8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,A) ) => ( k4_finseq_4(B,k7_partfun1(A,C,1)) = k3_finseq_1(B) => k1_finseq_5(A,k4_graph_2(A,B,C),k7_partfun1(A,C,1)) = B ) ) ) ) )).
fof(t17_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => r1_tarski(k3_topreal9(A,C,B),k2_topreal9(A,C,B)) ) ) ) )).
fof(t17_topreala,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( B = k7_funcop_1(k1_numbers,A) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,k1_numbers)) ) ) ) )).
fof(t17_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) & k18_euclid(A) = k4_xcmplx_0(1) ) => k17_euclid(A) = k5_numbers ) ) )).
fof(t17_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,B) & v1_finseq_1(D) & v1_valued_0(D) ) => k45_valued_1(k1_funct_7(D,A,C),D) = k1_funct_7(k5_euclid(B),A,k6_xcmplx_0(C,k1_funct_1(D,A))) ) ) ) ) )).
fof(t17_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k3_toprns_1(A,k3_toprns_1(A,B)) = B ) ) )).
fof(t17_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)) = k1_tops_1(A,k9_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t17_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_tops_2(B,A) => v2_tops_2(k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(t17_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_tops_1(B,A) & B = k1_xboole_0 ) ) ) )).
fof(t17_tops_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(B))))) ) => ( v5_pre_topc(C,k3_pcomps_1(A),k3_pcomps_1(B)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_xreal_0(F) & v2_xxreal_0(F) ) => ~ ( E = k1_funct_1(C,D) & ! [G] : ( ( v1_xreal_0(G) & v2_xxreal_0(G) ) => ~ r1_tarski(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_pcomps_1(B)),C,k8_metric_1(A,D,G)),k8_metric_1(B,E,F)) ) ) ) ) ) ) ) ) ) )).
fof(t17_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( r2_transgeo(A,B,C) => r2_transgeo(A,k2_funct_2(A,B),C) ) ) ) ) )).
fof(t17_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ( v3_tops_2(k3_treal_1(A,B,k1_treal_1(A,B),k2_treal_1(A,B)),k4_topmetr(k5_numbers,1),k4_topmetr(A,B)) & r2_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k2_tops_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),k3_treal_1(A,B,k1_treal_1(A,B),k2_treal_1(A,B))),k4_treal_1(A,B,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1))) & v3_tops_2(k4_treal_1(A,B,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1)),k4_topmetr(A,B),k4_topmetr(k5_numbers,1)) & r2_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),k2_tops_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k4_treal_1(A,B,k1_treal_1(k5_numbers,1),k2_treal_1(k5_numbers,1))),k3_treal_1(A,B,k1_treal_1(A,B),k2_treal_1(A,B))) ) ) ) ) )).
fof(t17_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_tarski(A,B) => r1_tarski(k1_trees_1(A),k1_trees_1(B)) ) ) ) )).
fof(t17_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ~ ( v1_trees_2(A) & ! [B] : ( v7_ordinal1(B) => ? [C] : ( m1_trees_1(C,A) & ! [D] : ( v1_finset_1(D) => ~ ( D = k1_trees_2(A,C) & r1_xxreal_0(k4_card_1(D),B) ) ) ) ) ) ) )).
fof(t17_trees_3,axiom,( ! [A] : ! [B] : ( v3_trees_3(k2_tarski(A,B)) <=> ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) ) )).
fof(t17_trees_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( k1_trees_4(A) = k4_trees_4(B,C) & v6_trees_3(C) ) => ( A = B & C = k1_xboole_0 ) ) ) )).
fof(t17_trees_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( r2_tarski(A,k7_trees_9(B,C)) <=> ? [D] : ( m1_trees_1(D,k9_xtuple_0(B)) & A = k5_trees_2(B,D) & ~ ( r2_tarski(D,k3_trees_1(k9_xtuple_0(B))) & ~ r2_tarski(k1_funct_1(B,D),C) ) ) ) ) )).
fof(t17_tsep_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tsep_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( v3_pre_topc(D,B) <=> v3_pre_topc(C,A) ) ) ) ) ) ) )).
fof(t17_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tsep_2(A,B,D) & r2_tsep_2(A,C,E) & r1_connsp_1(A,B,C) ) => r2_tsep_1(A,D,E) ) ) ) ) ) ) )).
fof(t17_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_pre_topc(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_pre_topc(C) & m1_pre_topc(C,A) ) => ( ( v1_borsuk_1(B,A) | v1_borsuk_1(C,A) ) => v6_pre_topc(k1_tsep_1(A,B,C)) ) ) ) ) )).
fof(t17_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(C,A) <=> ( C = k3_tex_4(A,C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v4_pre_topc(D,B) & D = k8_subset_1(u1_struct_0(A),C,u1_struct_0(B)) ) ) ) ) ) ) )).
fof(t17_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_turing_1(k2_finseq_4(k4_ordinal1,C,D),A,B) => ( k1_funct_1(B,C) = k5_numbers & k1_funct_1(B,k1_nat_1(k1_nat_1(C,D),2)) = k5_numbers & ! [E] : ( v1_int_1(E) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(k1_nat_1(k1_nat_1(C,D),2),E) & k1_funct_1(B,E) != 1 ) ) ) ) ) ) ) ) )).
fof(t17_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ! [C] : ( m1_subset_1(C,k5_margrel1) => ( k1_funct_1(k16_twoscomp,k11_finseq_1(A,B,C)) = k1_funct_1(k15_twoscomp,k11_finseq_1(C,B,A)) & k1_funct_1(k17_twoscomp,k11_finseq_1(A,B,C)) = k1_funct_1(k14_twoscomp,k11_finseq_1(C,B,A)) ) ) ) ) )).
fof(t17_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m1_unialg_2(C,A) => ~ r2_subset_1(u1_struct_0(B),u1_struct_0(C)) ) ) ) )).
fof(t17_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => v15_lattices(k12_unialg_2(A)) ) )).
fof(t17_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => k1_group_1(A) = k1_group_1(k1_uniroots(A)) ) )).
fof(t17_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_uproots(B,A) <=> ~ r1_xxreal_0(k1_algseq_1(A,B),k5_numbers) ) ) ) )).
fof(t17_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_connsp_2(D,A,C) => ~ r1_tarski(D,B) ) ) ) ) ) ) )).
fof(t17_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( v6_xxreal_2(k1_integra2(A,B)) & m1_subset_1(k1_integra2(A,B),k1_zfmisc_1(k1_numbers)) ) ) ) )).
fof(t17_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ! [E] : ( m2_subset_1(E,k1_numbers,k3_urysohn1) => ( ~ r1_xxreal_0(E,k5_numbers) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(k12_supinf_2(k4_urysohn3(A,B,C,D),F),E) & r2_tarski(F,k3_funct_2(k3_urysohn1,k9_setfam_1(u1_struct_0(A)),k2_urysohn3(A,B,C,D),E)) ) ) ) ) ) ) ) ) ) ) )).
fof(t17_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m1_valuat_1(E,A,B) => ( r1_valuat_1(A,B,k6_cqc_lang(A,D),E,C) <=> ~ r1_valuat_1(A,B,D,E,C) ) ) ) ) ) ) )).
fof(t17_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) ) => ? [B] : ( v1_int_1(B) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = B ) ) ) )).
fof(t17_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : k1_funct_1(k50_valued_1(A,B),C) = k7_xcmplx_0(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) )).
fof(t17_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k30_valued_1(k1_valued_1(A,B)) = k45_valued_1(k30_valued_1(A),B) ) ) )).
fof(t17_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & k4_vectsp_5(A,B,C,D,E) = k1_domain_1(u1_struct_0(B),u1_struct_0(B),F,G) ) ) ) ) ) ) ) )).
fof(t17_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(D,B,B) & v1_mod_2(D,A,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( v1_vectsp11(D,A,B) & m1_vectsp11(E,A,B,D) ) => ( m2_vectsp11(C,A,B,D,E) <=> r1_struct_0(k1_ranknull(A,B,B,k3_matrlin(A,B,B,D,k4_matrlin(A,B,B,k3_struct_0(B),k4_algstr_0(A,E)))),C) ) ) ) ) ) ) ) )).
fof(t17_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k4_algstr_0(A,k1_algstr_0(A,C,D)) = k5_algstr_0(A,k4_algstr_0(A,D),C) & k4_algstr_0(A,k1_algstr_0(A,D,k4_algstr_0(A,C))) = k5_algstr_0(A,C,D) & k4_algstr_0(A,k5_algstr_0(A,C,D)) = k1_algstr_0(A,D,k4_algstr_0(A,C)) & k4_algstr_0(A,k5_algstr_0(A,k4_algstr_0(A,C),D)) = k1_algstr_0(A,D,C) & k5_algstr_0(A,B,k1_algstr_0(A,D,C)) = k5_algstr_0(A,k5_algstr_0(A,B,C),D) ) ) ) ) ) )).
fof(t17_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => k12_algstr_0(A,B,B) = k1_group_1(A) ) ) ) )).
fof(t17_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => r1_struct_0(C,k4_struct_0(B)) ) ) ) )).
fof(t17_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( m1_vectsp_4(C,A,D) => m1_vectsp_4(k2_vectsp_5(A,B,C,E),A,k2_vectsp_5(A,B,D,E)) ) ) ) ) ) ) )).
fof(t17_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_vectsp_6(D,A,B,k6_domain_1(u1_struct_0(B),C)) => k4_vectsp_6(A,B,D) = k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C) ) ) ) ) )).
fof(t17_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v1_vectsp_7(C,A,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r1_tarski(C,D) & v1_vectsp_7(D,A,B) & k1_vectsp_7(A,B,D) = g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) ) ) ) ) ) ) )).
fof(t17_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ( D = E => k1_vectsp_7(A,B,D) = k1_vectsp_7(A,C,E) ) ) ) ) ) ) )).
fof(t17_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,k6_vfunct_1(A,B,D,E)),k2_vfunct_1(A,B,k2_vfunct_1(A,B,C,D),E)) ) ) ) ) ) )).
fof(t17_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,k3_vfunct_2(A,B,D,E)),k2_vfunct_1(A,B,k2_vfunct_1(A,B,C,D),E)) ) ) ) ) ) )).
fof(t17_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( v7_ordinal1(I) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),G) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,E),k1_nat_1(I,1)),G),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,F),k1_nat_1(I,1)),G)) ) ) ) ) ) ) ) ) ) )).
fof(t17_waybel10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_waybel10(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel10(A))) => ( D = B => ( r3_orders_2(k4_waybel10(A),C,D) <=> m1_yellow_0(C,B) ) ) ) ) ) ) )).
fof(t17_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_waybel11(A,B,C) & r1_waybel_0(A,B,k5_waybel_0(A,D)) ) => r3_orders_2(A,C,D) ) ) ) ) ) )).
fof(t17_waybel12,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_orders_2(A,C,D) => r2_yellow_4(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B),k4_yellow_4(A,k6_domain_1(u1_struct_0(A),D),B)) ) ) ) ) ) )).
fof(t17_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( ~ v1_xboole_0(k2_waybel_8(A,B)) & v1_waybel_0(k2_waybel_8(A,B),k1_waybel_8(A)) & v12_waybel_0(k2_waybel_8(A,B),k1_waybel_8(A)) & v14_waybel_0(k2_waybel_8(A,B),k1_waybel_8(A)) & m1_subset_1(k2_waybel_8(A,B),k1_zfmisc_1(u1_struct_0(k1_waybel_8(A)))) ) <=> v1_waybel_3(B,A) ) ) ) )).
fof(t17_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_yellow_8(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ( C = k3_subset_1(u1_struct_0(A),B) => v5_waybel_6(C,k1_yellow_1(u1_pre_topc(A))) ) ) ) ) )).
fof(t17_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) <=> ? [B] : ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & v2_waybel_8(B) & l1_orders_2(B) & ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & v2_funct_2(C,u1_struct_0(A)) & v17_waybel_0(C,B,A) & v22_waybel_0(C,B,A) ) ) ) ) )).
fof(t17_waybel16,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(A)))) ) => ( r1_yellow_0(k1_yellow_1(A),B) => r1_tarski(k3_tarski(B),k1_yellow_0(k1_yellow_1(A),B)) ) ) ) )).
fof(t17_waybel17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(D,A,B) => ( ( ~ ( r2_yellow_0(A,C) & r2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) ) & ~ ( v3_lattice3(A) & v5_orders_2(A) & v3_lattice3(B) & v5_orders_2(B) ) ) | r1_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,k2_yellow_0(A,C)),k2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C))) ) ) ) ) ) ) )).
fof(t17_waybel18,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,k4_yellow_1(A,k7_funcop_1(A,k2_yellow_1(k1_tarski(k5_numbers))))) ) => v2_waybel18(B) ) ) )).
fof(t17_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v1_waybel19(B) & l1_waybel_9(B) ) => ( m1_yellow_9(B,k3_yellow_3(A,A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( r1_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A),C,k4_waybel_2(A)) => v5_pre_topc(C,B,A) ) ) ) ) ) )).
fof(t17_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ( r5_waybel_1(A,B) & v5_orders_2(A) ) => v5_orders_2(B) ) ) ) )).
fof(t17_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & v6_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( ( r2_tarski(k3_yellow_0(A),u1_struct_0(B)) & v4_waybel_0(B,A) ) => v8_yellow_0(B,A) ) ) ) )).
fof(t17_waybel22,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ! [D] : ( ( r1_waybel22(A,C) & r1_waybel22(B,D) & k1_card_1(C) = k1_card_1(D) ) => r5_waybel_1(A,B) ) ) ) )).
fof(t17_waybel23,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_waybel23(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k2_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)),B) ) ) ) ) ) ) )).
fof(t17_waybel24,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & v5_orders_3(D,k3_yellow_3(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( ( v1_waybel_0(G,k3_yellow_3(A,B)) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => ( ( r1_yellow_0(C,k7_relset_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C),D,G)) & r2_tarski(E,k4_yellow_3(A,B,G)) & r2_tarski(F,k5_yellow_3(A,B,G)) ) => r3_orders_2(C,k3_funct_2(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C),D,k7_yellow_3(A,B,E,F)),k1_yellow_0(C,k7_relset_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C),D,G))) ) ) ) ) ) ) ) ) )).
fof(t17_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ( v4_yellow_0(k1_waybel25(B),k1_waybel25(A)) & m1_yellow_0(k1_waybel25(B),k1_waybel25(A)) ) ) ) )).
fof(t17_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v1_waybel25(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_borsuk_1(C,A,B) => ( v4_waybel_0(k1_waybel25(B),k1_waybel25(A)) & m1_yellow_0(k1_waybel25(B),k1_waybel25(A)) ) ) ) ) ) )).
fof(t17_waybel27,axiom,( ! [A] : ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_yellow_1(A)),u1_struct_0(k5_yellow_1(A,k2_yellow_1(k1_tarski(k5_numbers))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(A)),u1_struct_0(k5_yellow_1(A,k2_yellow_1(k1_tarski(k5_numbers))))))) & v23_waybel_0(B,k2_yellow_1(A),k5_yellow_1(A,k2_yellow_1(k1_tarski(k5_numbers)))) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k1_funct_1(B,C) = k5_funct_3(C,A) ) ) )).
fof(t17_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => v4_yellow_6(k3_waybel28(A),A) ) )).
fof(t17_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v23_waybel_0(C,A,B) <=> v23_waybel_0(k2_waybel29(A,B,C),k1_waybel29(A),k1_waybel29(B)) ) ) ) ) )).
fof(t17_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k1_tops_1(A,C) = k1_tops_1(B,D) ) ) ) ) ) )).
fof(t17_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( ~ v8_struct_0(A) => ! [B] : ( ( v6_waybel23(B,A) & m1_waybel23(B,A) ) => ~ v1_finset_1(B) ) ) ) )).
fof(t17_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r3_orders_2(A,C,k1_yellow_0(A,B)) ) ) ) ) )).
fof(t17_waybel33,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ~ ( r2_waybel_0(A,B,C) & ! [D] : ( ( v6_waybel_0(D,A) & m2_yellow_6(D,A,B) ) => ~ ( r1_tarski(k2_relset_1(u1_struct_0(A),u1_waybel_0(A,D)),C) & m1_yellow_6(D,A,B) ) ) ) ) ) )).
fof(t17_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => u1_struct_0(k4_waybel34(A)) = u1_struct_0(k5_waybel34(A)) ) )).
fof(t17_waybel35,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_orders_2(A,D,E) => r1_lattice7(A,k4_waybel35(A,B,C,D),k4_waybel35(A,B,C,E)) ) ) ) ) ) ) )).
fof(t17_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k5_waybel_0(A,B)) <=> r1_orders_2(A,C,B) ) ) ) ) )).
fof(t17_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v3_lattice3(B) => ( v18_waybel_0(C,B,A) <=> ( v5_orders_3(C,B,A) & v5_waybel_1(C,A,B) ) ) ) ) ) ) )).
fof(t17_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r4_waybel_0(A,A,k4_waybel_1(A,B),C) ) ) ) )).
fof(t17_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v8_struct_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_waybel_3(B,A) ) ) ) )).
fof(t17_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,C,D) => r1_tarski(k5_waybel_4(A,C,B),k5_waybel_4(A,D,B)) ) ) ) ) ) )).
fof(t17_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_waybel_3(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_waybel_3(A,D,B) => r3_orders_2(A,D,C) ) ) ) => r3_orders_2(A,B,C) ) ) ) ) )).
fof(t17_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel_6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r3_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r3_orders_2(A,C,E) & ~ r3_orders_2(A,D,E) ) ) ) ) ) ) ) ) )).
fof(t17_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & v2_waybel_7(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) <=> ( ~ v1_xboole_0(B) & v1_waybel_0(B,k7_lattice3(A)) & v12_waybel_0(B,k7_lattice3(A)) & v1_waybel_7(B,k7_lattice3(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_lattice3(A)))) ) ) ) )).
fof(t17_waybel_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v2_waybel_8(A) ) => v2_waybel_8(B) ) ) ) )).
fof(t17_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => m2_yellow_6(k4_waybel_9(A,B,C),A,B) ) ) ) )).
fof(t17_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_struct_0(k4_weddwitt(A),B) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) ) ) ) ) )).
fof(t17_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ~ ( C != k1_xboole_0 & v2_compts_1(C,k3_pcomps_1(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_pcomps_1(A))) => ~ ( r2_tarski(D,C) & k3_funct_2(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,B),D) = k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,B),C)) ) ) ) ) ) ) )).
fof(t17_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v8_relat_2(B) => v8_relat_2(k2_wellord1(B,A)) ) ) )).
fof(t17_wellord2,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & r2_wellord1(B,A) ) )).
fof(t17_wsierp_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( A != k5_numbers => ( r1_int_1(A,B) <=> v1_int_1(k7_xcmplx_0(B,A)) ) ) ) ) )).
fof(t17_xboole_1,axiom,( ! [A] : ! [B] : r1_tarski(k3_xboole_0(A,B),A) )).
fof(t17_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k5_xboolean(k3_xboolean(A),k6_xboolean(A,B)) = k6_xboolean(A,B) ) ) )).
fof(t17_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => A = k6_xcmplx_0(A,k6_xcmplx_0(B,B)) ) ) )).
fof(t17_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k6_xcmplx_0(A,B),k6_xcmplx_0(C,D)) => r1_xxreal_0(k6_xcmplx_0(D,B),k6_xcmplx_0(C,A)) ) ) ) ) ) )).
fof(t17_xtuple_0,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_tarski(k14_xtuple_0(A),k14_xtuple_0(B)) ) )).
fof(t17_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_xxreal_0(k3_xxreal_0(A,B),A) ) ) )).
fof(t17_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k1_xxreal_1(A,A) = k1_tarski(A) ) )).
fof(t17_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m2_xxreal_2(A,k1_xxreal_1(A,B)) ) ) )).
fof(t17_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( k1_xxreal_3(A,B) = k2_xxreal_0 & A != k2_xxreal_0 & B != k2_xxreal_0 ) ) ) )).
fof(t17_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v3_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_orders_2(B) & v3_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( r1_yellow10(k3_yellow_3(A,B),D,C) <=> ( r1_yellow10(A,k8_yellow_3(A,B,D),k8_yellow_3(A,B,C)) & r1_yellow10(B,k9_yellow_3(A,B,D),k9_yellow_3(A,B,C)) ) ) ) ) ) ) )).
fof(t17_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_yellow_0(C,A) => ! [D] : ( m1_yellow_0(D,B) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & g1_orders_2(u1_struct_0(C),u1_orders_2(C)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) & v5_yellow_0(C,A) ) => v5_yellow_0(D,B) ) ) ) ) ) )).
fof(t17_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ? [D] : ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,D) & r1_xboole_0(B,E) ) ) ) ) ) ) ) )).
fof(t17_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v23_waybel_0(D,A,B) & r2_yellow_0(A,C) ) => r2_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) ) ) )).
fof(t17_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_tarski(C,B) => r1_setfam_1(k2_yellow15(A,B),k2_yellow15(A,C)) ) ) ) )).
fof(t17_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ( r5_waybel_1(A,B) => ( r4_yellow16(A,B) & r4_yellow16(B,A) ) ) ) ) )).
fof(t17_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel18(A,B,C))) => ! [E] : ~ ( r2_tarski(E,k2_waybel18(A,B)) & r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(D)),E) & E != k2_struct_0(k3_waybel18(A,B)) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) => ~ ( F != k2_struct_0(k4_waybel18(A,B,C)) & r2_tarski(D,F) & v3_pre_topc(F,k4_waybel18(A,B,C)) & E = k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),F) ) ) ) ) ) ) ) )).
fof(t17_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v11_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ( r2_yellow18(A,B) => ( r1_functor0(A,C) <=> r2_functor0(B,C) ) ) ) ) ) )).
fof(t17_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(B,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k9_yellow_6(A,k3_yellow19(A,k2_struct_0(A),B))) <=> r2_waybel_7(A,B,C) ) ) ) ) )).
fof(t17_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,A)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k2_zfmisc_1(B,B)) & v1_funct_1(D) & v1_partfun1(D,k2_zfmisc_1(B,B)) ) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(A,B))) & v1_funct_1(E) & v1_partfun1(E,k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(A,B))) & E = k1_yellow20(C,D) & k1_yellow20(k2_altcat_1(A,C),k2_altcat_1(B,D)) = k2_altcat_1(k3_xboole_0(A,B),E) ) ) ) )).
fof(t17_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( r2_tarski(u1_struct_0(B),A) => ( m1_subset_1(B,u1_struct_0(k8_yellow21(A))) <=> ( v1_orders_2(B) & v3_lattice3(B) & v2_waybel_8(B) ) ) ) ) ) )).
fof(t17_yellow_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( r1_yellow_0(A,B) & r2_yellow_0(A,B) ) ) )).
fof(t17_yellow_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_yellow_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_yellow_1(A))) => ( k13_lattice3(k2_yellow_1(A),B,C) = k2_xboole_0(B,C) & k12_lattice3(k2_yellow_1(A),B,C) = k3_xboole_0(B,C) ) ) ) )).
fof(t17_yellow_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v21_waybel_0(B,A,A) => v5_orders_3(B,A,A) ) ) ) )).
fof(t17_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( v4_orders_2(k3_yellow_3(A,B)) => ( v4_orders_2(A) & v4_orders_2(B) ) ) ) ) )).
fof(t17_yellow_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A),B,k2_yellow_4(A,C,D)),k2_yellow_4(A,k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),B,D))) ) ) ) ) )).
fof(t17_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v2_waybel_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k13_lattice3(A,B,k12_lattice3(A,C,D)) = k12_lattice3(A,k13_lattice3(A,B,C),k13_lattice3(A,B,D)) ) ) ) ) ) )).
fof(t17_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ! [D] : ~ ( r1_waybel_0(A,B,C) & r1_waybel_0(A,B,D) & r1_xboole_0(C,D) ) ) ) )).
fof(t17_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_lattice3(A) <=> v3_lattice3(k7_lattice3(A)) ) ) )).
fof(t17_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_yellow_8(k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)),A) ) ) )).
fof(t17_yellow_9,axiom,( ! [A] : ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k2_cantor_1(A,B) = k1_tarski(A) ) )).
fof(t17_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ( ( v8_zf_fund1(C,A) & r2_tarski(B,C) ) => r2_tarski(a_2_1_zf_fund1(A,B),C) ) ) ) ) )).
fof(t17_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => k1_funct_1(k7_zf_lang(A,B),1) = 4 ) ) )).
fof(t17_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k14_zf_lang(C,E,A) = k14_zf_lang(D,F,B) => ( C = D & E = F & A = B ) ) ) ) ) ) ) ) )).
fof(t17_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r1_zf_model(A,B,k9_zf_lang(C,D)) <=> ( r1_zf_model(A,B,C) | r1_zf_model(A,B,D) ) ) ) ) ) ) )).
fof(t17_zf_refle,axiom,( r3_tarski(k4_ordinal1,k1_zf_lang) )).
fof(t17_zfmisc_1,axiom,( ! [A] : ! [B] : ( A != B => k4_xboole_0(k2_tarski(A,B),k1_tarski(B)) = k1_tarski(A) ) )).
fof(t17_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_zf_model(A) => ( v1_ordinal1(A) & ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,B) <=> r2_tarski(D,C) ) ) => B = C ) ) ) & ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => r2_tarski(k2_tarski(B,C),A) ) ) & ! [B] : ( m1_subset_1(B,A) => r2_tarski(k3_tarski(B),A) ) & ? [B] : ( m1_subset_1(B,A) & B != k1_xboole_0 & ! [C] : ( m1_subset_1(C,A) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,A) => ~ ( r2_xboole_0(C,D) & r2_tarski(D,B) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,A) => r2_tarski(k3_xboole_0(A,k1_zfmisc_1(B)),A) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(B)) & r1_zf_model(A,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) ) => ! [D] : ( m1_subset_1(D,A) => r2_tarski(k7_relset_1(A,A,k1_zfmodel1(B,A,C),D),A) ) ) ) ) ) ) ) )).
fof(t17_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(B)) & r1_zf_model(A,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ~ ( r1_tarski(k9_subset_1(k1_zf_lang,k2_zf_model(B),k2_zf_model(D)),k2_tarski(k2_zf_lang(3),k2_zf_lang(4))) & ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(D)) & r1_zf_model(A,E,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(D,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r2_funct_2(A,A,k1_zfmodel1(B,A,C),k1_zfmodel1(D,A,E)) ) ) ) ) ) ) ) )).
fof(t17_zfrefle1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( r2_tarski(A,k10_xtuple_0(B)) => v3_ordinal1(A) ) ) )).
fof(t17_zmodul01,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(C)) => k1_funct_1(D,E) = k1_zmodul01(B,k7_partfun1(u1_struct_0(B),C,E),A) ) ) ) => k4_rlvect_1(B,D) = k1_zmodul01(B,k4_rlvect_1(B,C),A) ) ) ) ) ) )).
fof(t17_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k4_numbers))) ) => k20_zmodul02(A,k3_finseq_4(u1_struct_0(A),B,C,D),E) = k3_finseq_4(u1_struct_0(A),k1_zmodul01(A,B,k3_funct_2(u1_struct_0(A),k4_numbers,E,B)),k1_zmodul01(A,C,k3_funct_2(u1_struct_0(A),k4_numbers,E,C)),k1_zmodul01(A,D,k3_funct_2(u1_struct_0(A),k4_numbers,E,D))) ) ) ) ) ) )).
fof(t17_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_zmodul02(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( D = k7_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C)) & r1_struct_0(k33_zmodul02(A,D),C) ) ) ) ) ) ) ) )).
fof(t17_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( m1_zmodul03(B,A) & k1_nat_1(k4_card_1(B),1) = k4_card_1(C) & v1_zmodul02(C,A) ) ) ) ) )).
fof(t17_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ( v1_finset_1(k2_struct_0(A)) => k4_zmodul01(A) = k3_zmodul01(A) ) ) )).
fof(t17_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_zmodul06(B,A) <=> ( v1_zmodul03(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B))) & B != k4_struct_0(A) ) ) ) ) )).
fof(t180_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v25_absred_0(A) & v26_absred_0(A) ) => r3_absred_0(A,k8_absred_0(A,k7_absred_0(A,k7_absred_0(A,B)),k6_absred_0(A)),B) ) ) ) )).
fof(t180_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ! [D] : ! [E] : ( r5_glib_000(A,B) => k2_glib_001(A,D,E,C) = k2_glib_001(B,D,E,C) ) ) ) )).
fof(t180_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( k21_member_1(A,C) = k21_member_1(B,C) => A = B ) ) ) ) )).
fof(t180_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)) => r1_xboole_0(A,B) ) ) ) )).
fof(t180_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(1)) = A ) )).
fof(t180_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) & r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,C),A),k3_xcmplx_0(C,B)),A) ) => ( r1_xxreal_0(B,k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,C),A),k3_xcmplx_0(C,B))) | C = k5_numbers ) ) ) ) ) )).
fof(t180_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(C,A) & ~ r1_xxreal_0(D,A) & ~ r1_xxreal_0(B,C) & ~ r1_xxreal_0(B,D) & k2_xboole_0(k2_xboole_0(k3_xxreal_1(A,C),k4_xxreal_1(C,D)),k2_xxreal_1(D,B)) != k4_xxreal_1(A,B) ) ) ) ) ) )).
fof(t180_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v10_zf_lang(A) => ( k26_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k26_zf_lang(A),B,C) & k27_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k27_zf_lang(A),B,C) ) ) ) ) ) )).
fof(t181_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v26_absred_0(A) => r3_absred_0(A,k8_absred_0(A,k7_absred_0(A,k7_absred_0(A,B)),C),k8_absred_0(A,B,C)) ) ) ) ) )).
fof(t181_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( ( r5_glib_000(A,B) & C = D ) => ( ( v1_glib_001(C,A) => v1_glib_001(D,B) ) & ( v1_glib_001(D,B) => v1_glib_001(C,A) ) & ( v2_glib_001(C,A) => v2_glib_001(D,B) ) & ( v2_glib_001(D,B) => v2_glib_001(C,A) ) & ( v3_glib_001(C,A) => v3_glib_001(D,B) ) & ( v3_glib_001(D,B) => v3_glib_001(C,A) ) & ( v4_glib_001(C,A) => v4_glib_001(D,B) ) & ( v4_glib_001(D,B) => v4_glib_001(C,A) ) & ( v5_glib_001(C,A) => v5_glib_001(D,B) ) & ( v5_glib_001(D,B) => v5_glib_001(C,A) ) & ( v6_glib_001(C,A) => v6_glib_001(D,B) ) & ( v6_glib_001(D,B) => v6_glib_001(C,A) ) ) ) ) ) ) ) )).
fof(t181_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k21_member_1(A,B) = k5_member_1(k19_member_1(A,B)) ) ) )).
fof(t181_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_tarski(A,B) => k5_relat_1(k6_subset_1(C,k5_relat_1(C,B)),A) = k1_xboole_0 ) ) )).
fof(t181_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_xcmplx_0(A,B) = k4_xcmplx_0(B) => ( B = k5_numbers | A = k4_xcmplx_0(1) ) ) ) ) )).
fof(t181_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(1,k7_xcmplx_0(B,A)) ) ) ) ) )).
fof(t181_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) ) => k2_xboole_0(k2_xboole_0(k1_xxreal_1(A,C),k4_xxreal_1(C,D)),k1_xxreal_1(D,B)) = k1_xxreal_1(A,B) ) ) ) ) ) )).
fof(t181_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( v11_zf_lang(A) => ( k23_zf_lang(k6_zf_lang1(A,B,C)) = k6_zf_lang1(k23_zf_lang(A),B,C) & ( k22_zf_lang(A) = B => k22_zf_lang(k6_zf_lang1(A,B,C)) = C ) & ( k22_zf_lang(A) != B => k22_zf_lang(k6_zf_lang1(A,B,C)) = k22_zf_lang(A) ) ) ) ) ) ) )).
fof(t182_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v28_absred_0(A) & v31_absred_0(A) ) => r3_absred_0(A,k8_absred_0(A,B,k8_absred_0(A,C,k7_absred_0(A,k8_absred_0(A,B,C)))),k6_absred_0(A)) ) ) ) ) )).
fof(t182_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k19_member_1(A,B) = k5_member_1(k21_member_1(A,B)) ) ) )).
fof(t182_relat_1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) ) => v4_relat_1(C,B) ) ) )).
fof(t182_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ~ ( k3_xcmplx_0(A,A) = 1 & A != 1 & A != k4_xcmplx_0(1) ) ) )).
fof(t182_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(B,A) => ( r1_xxreal_0(k5_numbers,A) | r1_xxreal_0(1,k7_xcmplx_0(B,A)) ) ) ) ) )).
fof(t182_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => k6_subset_1(k1_xxreal_1(A,C),k1_xxreal_1(A,B)) = k3_xxreal_1(B,C) ) ) ) ) )).
fof(t182_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( ~ r2_tarski(B,k4_zf_lang1(A)) => k6_zf_lang1(A,B,C) = A ) ) ) ) )).
fof(t183_absred_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v15_absred_0(A) & v16_absred_0(A) & l2_absred_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v29_absred_0(A) & v32_absred_0(A) ) => r3_absred_0(A,k8_absred_0(A,B,k7_absred_0(A,k8_absred_0(A,C,B))),k7_absred_0(A,C)) ) ) ) ) )).
fof(t183_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k21_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k21_member_1(A,C),k21_member_1(B,C)) ) ) ) )).
fof(t183_relat_1,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) ) => v5_relat_1(C,B) ) ) )).
fof(t183_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k2_xcmplx_0(k4_xcmplx_0(A),k3_xcmplx_0(2,A)) = A ) )).
fof(t183_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k7_xcmplx_0(A,B),1) ) ) ) )).
fof(t183_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => k6_subset_1(k2_xxreal_1(A,C),k1_xxreal_1(A,B)) = k4_xxreal_1(B,C) ) ) ) ) )).
fof(t183_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => k6_zf_lang1(A,B,B) = A ) ) )).
fof(t184_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k21_member_1(k6_subset_1(A,B),C) = k6_subset_1(k21_member_1(A,C),k21_member_1(B,C)) ) ) ) )).
fof(t184_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_tarski(A,B) <=> r1_tarski(A,k5_relat_1(B,k9_xtuple_0(A))) ) ) ) )).
fof(t184_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(k6_xcmplx_0(A,B),C) = k3_xcmplx_0(k6_xcmplx_0(B,A),k4_xcmplx_0(C)) ) ) ) )).
fof(t184_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(B,A) & r1_xxreal_0(A,k5_numbers) ) => r1_xxreal_0(k7_xcmplx_0(A,B),1) ) ) ) )).
fof(t184_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => k6_subset_1(k1_xxreal_1(A,C),k2_xxreal_1(A,B)) = k1_xxreal_1(B,C) ) ) ) ) )).
fof(t184_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ~ ( B != C & r2_tarski(B,k4_zf_lang1(k6_zf_lang1(A,B,C))) ) ) ) ) )).
fof(t185_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k21_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k21_member_1(A,C),k21_member_1(B,C)) ) ) ) )).
fof(t185_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) ) => r1_tarski(C,k2_zfmisc_1(A,B)) ) )).
fof(t185_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(k6_xcmplx_0(A,B),C) = k4_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(B,A),C)) ) ) ) )).
fof(t185_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,A) ) => r1_xxreal_0(k7_xcmplx_0(B,A),1) ) ) ) )).
fof(t185_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => k6_subset_1(k2_xxreal_1(A,C),k2_xxreal_1(A,B)) = k2_xxreal_1(B,C) ) ) ) ) )).
fof(t185_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ( r2_tarski(B,k4_zf_lang1(A)) => r2_tarski(C,k4_zf_lang1(k6_zf_lang1(A,B,C))) ) ) ) ) )).
fof(t186_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r2_hidden(k4_xxreal_3(B,C),k22_member_1(A,B)) ) ) ) ) )).
fof(t186_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k9_xtuple_0(k6_relat_1(A,B)),k9_xtuple_0(B)) ) )).
fof(t186_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k6_xcmplx_0(A,k3_xcmplx_0(2,A)) = k4_xcmplx_0(A) ) )).
fof(t186_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,B) ) => r1_xxreal_0(k7_xcmplx_0(B,A),1) ) ) ) )).
fof(t186_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => k6_subset_1(k1_xxreal_1(A,C),k1_xxreal_1(A,B)) = k3_xxreal_1(B,C) ) ) ) ) )).
fof(t186_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( B != C => k6_zf_lang1(k6_zf_lang1(A,B,C),B,D) = k6_zf_lang1(A,B,C) ) ) ) ) ) )).
fof(t187_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k22_member_1(A,B) = a_2_14_member_1(A,B) ) ) )).
fof(t187_relat_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ! [D] : ( v1_relat_1(D) => ( r1_xboole_0(A,B) => r1_xboole_0(k5_relat_1(C,A),k5_relat_1(D,B)) ) ) ) )).
fof(t187_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k7_xcmplx_0(A,B)) = k7_xcmplx_0(k4_xcmplx_0(A),B) ) ) )).
fof(t187_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(k7_xcmplx_0(B,A),1) ) ) ) )).
fof(t187_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => k6_subset_1(k4_xxreal_1(A,C),k3_xxreal_1(A,B)) = k4_xxreal_1(B,C) ) ) ) ) )).
fof(t187_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => r1_tarski(k4_zf_lang1(k6_zf_lang1(A,B,C)),k2_xboole_0(k7_subset_1(k1_zf_lang,k4_zf_lang1(A),k1_tarski(B)),k1_tarski(C))) ) ) ) )).
fof(t188_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ~ ( r2_tarski(C,k22_member_1(A,B)) & ! [D] : ( m1_subset_1(D,k6_numbers) => ~ ( C = k4_xxreal_3(B,D) & r2_tarski(D,A) ) ) ) ) ) )).
fof(t188_relat_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => r1_tarski(k6_relat_1(A,B),k5_relat_1(B,k8_relat_1(B,A))) ) )).
fof(t188_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(A,k4_xcmplx_0(B)) = k4_xcmplx_0(k7_xcmplx_0(A,B)) ) ) )).
fof(t188_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(A,B) & r1_xxreal_0(k7_xcmplx_0(B,A),1) ) ) ) )).
fof(t188_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => k6_subset_1(k3_xxreal_1(A,C),k4_xxreal_1(A,B)) = k1_xxreal_1(B,C) ) ) ) ) )).
fof(t189_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => ( C != k5_numbers => k22_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k22_member_1(A,C),k22_member_1(B,C)) ) ) ) ) )).
fof(t189_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( ( k9_xtuple_0(A) = k1_tarski(B) & k10_xtuple_0(A) = k1_tarski(C) ) => A = k1_tarski(k4_tarski(B,C)) ) ) )).
fof(t189_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k7_xcmplx_0(A,k4_xcmplx_0(B))) = k7_xcmplx_0(A,B) ) ) )).
fof(t189_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(1,k7_xcmplx_0(A,B)) ) ) ) )).
fof(t189_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => k6_subset_1(k4_xxreal_1(A,C),k4_xxreal_1(A,B)) = k2_xxreal_1(B,C) ) ) ) ) )).
fof(t18_abcmiz_0,axiom,( ! [A] : ( ( v8_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => r1_xboole_0(k3_abcmiz_0(A,B),k3_abcmiz_0(A,k1_abcmiz_0(A,B))) ) ) )).
fof(t18_abcmiz_1,axiom,( k2_abcmiz_1 = a_0_1_abcmiz_1 )).
fof(t18_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ~ ( k1_xfamily(k1_funct_1(B,k1_xboole_0)) = k9_abcmiz_1 & ! [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) => ! [D] : ( m1_abcmiz_1(D,A,k12_abcmiz_1(A)) => B != k6_trees_4(k4_tarski(k9_abcmiz_1,3),C,D) ) ) ) ) ) )).
fof(t18_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_absred_0(A,B,C) & r3_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t18_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_absvalue(k3_xcmplx_0(A,B)) = k3_xcmplx_0(k1_absvalue(A),k1_absvalue(B)) ) ) )).
fof(t18_aescip_1,axiom,( v2_funct_1(k3_aescip_1) )).
fof(t18_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(D,A) & v1_aff_1(E,A) & r2_tarski(B,D) & r2_tarski(C,D) & r2_tarski(B,E) & r2_tarski(C,E) & B != C & D != E ) ) ) ) ) ) )).
fof(t18_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,F) & r2_tarski(C,F) & r2_tarski(D,G) & r2_tarski(E,G) & r2_tarski(B,H) & r2_tarski(D,H) & r2_tarski(C,I) & r2_tarski(E,I) & F != G & r5_aff_1(A,F,G) & v1_aff_1(H,A) & v1_aff_1(I,A) & ~ r5_aff_1(A,H,I) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r2_tarski(J,H) & r2_tarski(J,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( r1_xxreal_0(k1_afinsq_1(B),A) => ( r1_xxreal_0(k1_nat_1(k1_afinsq_1(B),k1_afinsq_1(C)),A) | k1_funct_1(k1_ordinal4(B,C),A) = k1_funct_1(C,k6_xcmplx_0(A,k1_afinsq_1(B))) ) ) ) ) ) )).
fof(t18_afinsq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => k3_afinsq_2(B,k5_numbers,A) = k3_afinsq_2(B,1,A) ) ) )).
fof(t18_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( r2_tarski(B,k2_zfmisc_1(k1_afproj(A),k1_tarski(1))) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k4_tarski(C,1) & v1_aff_1(C,A) ) ) ) )).
fof(t18_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_afvect0(A,B,C,B) <=> ( B = C | r1_afvect0(A,B,C) ) ) ) ) ) )).
fof(t18_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_alg_1(B,A) => r3_alg_1(A,k4_alg_1(A,B),k5_alg_1(A,B)) ) ) )).
fof(t18_algspec1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => r6_pboole(k2_xboole_0(A,B),k1_algspec1(k2_xboole_0(A,B),C),k1_funct_4(k1_algspec1(A,C),k1_algspec1(B,C))) ) )).
fof(t18_algstr_4,axiom,( ! [A] : k11_algstr_4(A,2) = k2_zfmisc_1(k2_zfmisc_1(A,A),k1_tarski(1)) )).
fof(t18_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_altcat_1(A,B,B) != k1_xboole_0 ) ) )).
fof(t18_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => v2_altcat_1(k4_altcat_2(A)) ) )).
fof(t18_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,B) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) & ? [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) & v1_altcat_3(E,A,B,C) & v1_altcat_3(F,A,C,D) & ~ v1_altcat_3(k5_altcat_1(A,B,C,D,E,F),A,B,D) ) ) ) ) ) ) ) )).
fof(t18_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => ( v1_altcat_3(F,A,D,E) => ( k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | v1_altcat_3(k6_functor0(A,B,C,D,E,F),B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t18_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k4_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(t18_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_ami_3)) ) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k3_ami_3(H,I) & r2_tarski(H,k9_xtuple_0(B)) ) => k2_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),I)) = k2_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => k2_amistd_1(k5_card_1(2),k1_ami_3,k8_ami_3(B,A)) = k1_tarski(B) ) ) )).
fof(t18_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k4_amistd_1(A))) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(C,u1_struct_0(k4_amistd_1(A))) ) => ( k5_compos_0(u1_compos_1(k4_amistd_1(A)),B) = 1 => k5_memstr_0(A,k4_amistd_1(A),k2_extpro_1(A,k4_amistd_1(A),B,C)) = k5_ami_wstd(A,k4_amistd_1(A),k5_memstr_0(A,k4_amistd_1(A),C)) ) ) ) ) )).
fof(t18_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_extpro_1(A))) => k5_compos_0(u1_compos_1(k1_extpro_1(A)),B) = k5_numbers ) ) )).
fof(t18_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v4_amistd_1(C,A,B) => r2_tarski(k4_struct_0(B),k4_amistd_4(A,B,C)) ) ) ) ) )).
fof(t18_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_diraf(k2_analoaf(A)))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_diraf(k2_analoaf(A)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_diraf(k2_analoaf(A)))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_diraf(k2_analoaf(A)))) => ( ( F = B & H = D & G = C & I = E ) => ( r2_analoaf(k2_diraf(k2_analoaf(A)),F,H,G,I) <=> ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & k1_rlvect_1(A,k5_algstr_0(A,D,B),J) = k1_rlvect_1(A,k5_algstr_0(A,E,C),K) & ~ ( J = k5_numbers & K = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != D & r1_analoaf(A,D,B,B,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_analoaf(A,C,B,B,F) & r1_analoaf(A,C,D,E,F) ) ) ) ) ) ) ) ) )).
fof(t18_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_analmetr(A,F,G) & r1_analort(A,F,G,B,C,D,E) ) => r1_analort(A,F,G,D,E,C,B) ) ) ) ) ) ) ) ) )).
fof(t18_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r2_anproj_1(A,E,F,C) & r2_anproj_1(A,G,H,C) & r2_anproj_1(A,E,G,B) & r2_anproj_1(A,F,H,B) & r2_anproj_1(A,E,H,D) & r2_anproj_1(A,F,G,D) & r2_anproj_1(A,B,C,D) & ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ~ v9_struct_0(D,A) & ~ r2_anproj_1(A,E,F,H) & ~ r2_anproj_1(A,E,F,G) & ~ r2_anproj_1(A,E,G,H) & ~ r2_anproj_1(A,F,G,H) ) ) ) ) ) ) ) ) ) )).
fof(t18_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ~ ( B != C & B != D & B != E & C != D & C != E & D != E & ! [F] : ( m2_funct_2(F,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [G] : ( m2_funct_2(G,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [H] : ( m2_funct_2(H,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [I] : ( m2_funct_2(I,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [J] : ( v1_xreal_0(J) & ? [K] : ( v1_xreal_0(K) & ? [L] : ( v1_xreal_0(L) & ? [M] : ( v1_xreal_0(M) & k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(J,F)),k1_funct_1(k7_funcsdom(A),k4_tarski(K,G))),k1_funct_1(k7_funcsdom(A),k4_tarski(L,H))),k1_funct_1(k7_funcsdom(A),k4_tarski(M,I))) = k8_funcsdom(A) & ~ ( J = k5_numbers & K = k5_numbers & L = k5_numbers & M = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k9_aofa_000(A,B,k5_numbers) = B ) ) )).
fof(t18_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : k2_xboole_0(k1_enumset1(A,B,C),k4_enumset1(D,E,F,G,H,I)) = k7_enumset1(A,B,C,D,E,F,G,H,I) )).
fof(t18_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v19_aofa_a00(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k10_subset_1(k1_funct_1(u7_aofa_a00(A),8),u4_struct_0(A)) => ( k1_msualg_1(A,C) = k2_finseq_4(u1_struct_0(A),B,B) & k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(t18_aofa_i00,axiom,( ! [A] : ( m4_aofa_i00(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(k4_ordinal1,k4_numbers),k4_numbers))) ) => m3_aofa_i00(B,k7_freealg(k19_aofa_000,k26_aofa_i00),k4_ordinal1,k1_aofa_i00(k9_funct_2(k4_ordinal1,k4_numbers),k5_numbers,k5_numbers),A) ) ) )).
fof(t18_aofa_l00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( r1_tarski(D,k6_subset_1(u1_struct_0(B),u1_struct_0(A))) => ! [E] : ( ( v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,D) & v1_funct_1(E) & v1_partfun1(E,D) ) => ? [F] : ( v4_msualg_1(F,B) & l3_msualg_1(F,B) & v15_aofa_l00(F,A,B,C) & k5_relat_1(u3_msualg_1(B,F),D) = E ) ) ) ) ) ) )).
fof(t18_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( v8_relat_2(B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ( ( r2_tarski(k6_armstrng(A,C,D),B) & r2_tarski(k6_armstrng(A,D,E),B) ) => r2_tarski(k6_armstrng(A,C,E),B) ) ) ) ) ) ) )).
fof(t18_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ( ( k2_arytm_0(A,B) = 1 & k2_arytm_0(A,C) = 1 ) => ( A = k5_numbers | B = C ) ) ) ) ) )).
fof(t18_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => k2_arytm_1(A,A) = k11_arytm_3 ) )).
fof(t18_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ( r2_tarski(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( r2_tarski(B,A) <=> ( r2_tarski(B,k4_ordinal1) & B != A & r1_arytm_2(B,A) ) ) ) ) ) )).
fof(t18_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( B != k1_xboole_0 => ( k3_arytm_3(A,B) != k1_xboole_0 & k6_ordinal3(B,k3_arytm_3(A,B)) != k1_xboole_0 ) ) ) ) )).
fof(t18_asympt_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_tarski(A,k7_asympt_0(B)) => ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) ) ) )).
fof(t18_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(k1_numbers,A,C) = k5_int_1(C,2) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k8_nat_1(k1_numbers,B,C) = k5_int_1(k1_nat_1(C,1),2) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v2_asympt_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r2_funct_2(k4_ordinal1,k1_numbers,C,A) & r2_funct_2(k4_ordinal1,k1_numbers,D,B) & ~ r2_tarski(C,k6_asympt_0(D)) & ~ r2_tarski(D,k6_asympt_0(C)) ) ) ) ) ) ) )).
fof(t18_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pzfmisc1(A,B,C) => v2_relat_1(k7_pboole(A,B,C)) ) ) ) )).
fof(t18_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_autgroup(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_autgroup(A))) => ! [D] : ( m2_funct_2(D,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => ! [E] : ( m2_funct_2(E,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => ( ( B = D & C = E ) => k6_algstr_0(k5_autgroup(A),B,C) = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E,D) ) ) ) ) ) ) )).
fof(t18_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v6_bcialg_1(A) <=> ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) ) ) )).
fof(t18_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k1_bcialg_2(A,k4_struct_0(A),k1_bcialg_1(A,B,C),D) = k1_bcialg_1(A,k1_bcialg_2(A,k4_struct_0(A),B,D),k1_bcialg_2(A,k4_struct_0(A),C,D)) ) ) ) ) )).
fof(t18_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v4_bcialg_3(A) <=> ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k7_bcialg_1(A,B)) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),k7_bcialg_1(A,B)) => k1_bcialg_1(A,C,k1_bcialg_1(A,C,D)) = k1_bcialg_1(A,D,k1_bcialg_1(A,D,C)) ) ) ) ) ) )).
fof(t18_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => k3_binop_1(u1_struct_0(A),u1_bcialg_4(A)) = k4_struct_0(A) ) )).
fof(t18_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v8_bcialg_1(E) & m1_bcialg_5(E,A,B,C,D) ) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( v8_bcialg_1(E) & m1_bcialg_5(E,A,k1_nat_1(B,F),k1_nat_1(C,F),D) ) ) ) ) ) ) ) )).
fof(t18_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,k2_bcialg_1(A,B),C) = k2_bcialg_1(A,k2_bcialg_6(A,B,C)) ) ) ) )).
fof(t18_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m2_bciideal(B,A) => m2_bcialg_1(B,A) ) ) ) )).
fof(t18_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_bhsp_1(A,k5_algstr_0(A,B,C),k5_algstr_0(A,B,C)) = k2_xcmplx_0(k6_xcmplx_0(k2_bhsp_1(A,B,B),k3_xcmplx_0(2,k2_bhsp_1(A,B,C))),k2_bhsp_1(A,C,C)) ) ) ) )).
fof(t18_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(C,A) => k1_bhsp_2(A,k3_normsp_1(A,C,B)) = k5_algstr_0(A,k1_bhsp_2(A,C),B) ) ) ) ) )).
fof(t18_bhsp_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => k3_bhsp_4(B,C,k1_nat_1(A,1)) = k3_rlvect_1(B,k3_bhsp_4(B,C,A),k3_funct_2(k4_ordinal1,u1_struct_0(B),C,k1_nat_1(A,1))) ) ) ) )).
fof(t18_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => r2_funct_2(u1_struct_0(B),u1_struct_0(A),k8_bilinear(A,B,C,k5_bilinear(A,B,C,D,E),F),k5_hahnban1(A,B,k8_bilinear(A,B,C,D,F),k8_bilinear(A,B,C,E,F))) ) ) ) ) ) ) )).
fof(t18_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( m1_subset_1(D,k5_margrel1) => ! [E] : ( m1_subset_1(E,k5_margrel1) => k6_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))) = k9_binarith(A,1,k5_margrel1,k7_binarith(A,B,k2_binari_2(A,C)),k10_binarith(k5_margrel1,k2_binarith(k2_binarith(k2_binarith(D,k8_margrel1(E)),k8_binarith(A,k3_binarith(A,C),k1_binari_2(A))),k8_binarith(A,B,k2_binari_2(A,C))))) ) ) ) ) ) )).
fof(t18_binari_3,axiom,( k7_binarith(1,k10_binarith(k5_margrel1,k7_margrel1),k10_binarith(k5_margrel1,k7_margrel1)) = k10_binarith(k5_margrel1,k6_margrel1) )).
fof(t18_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( r1_xxreal_0(k5_numbers,k6_xcmplx_0(k5_series_1(2,k7_nat_d(A,1)),1)) & r1_xxreal_0(k4_xcmplx_0(k5_series_1(2,k7_nat_d(A,1))),k5_numbers) ) ) )).
fof(t18_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( m1_subset_1(D,k5_margrel1) => ! [E] : ( m1_subset_1(E,k5_margrel1) => k8_binarith(A,B,C) = k7_partfun1(k5_margrel1,k4_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),k1_nat_1(A,1)) ) ) ) ) ) )).
fof(t18_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => k5_binom(A,B,C) = k6_binom(A,B,C) ) ) ) )).
fof(t18_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(C,D),E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),E))) ) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( ( r2_hidden(A,C) & r2_hidden(B,D) ) => ( E = k1_xboole_0 | k1_binop_1(k3_relat_1(F,G),A,B) = k1_funct_1(G,k1_binop_1(F,A,B)) ) ) ) ) )).
fof(t18_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( v7_ordinal1(B) => k4_card_1(k2_trees_2(A,B)) = k5_series_1(2,B) ) ) )).
fof(t18_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ ( r4_boolealg(A,B,C) & r4_boolealg(A,B,D) ) & r4_boolealg(A,B,k4_lattices(A,C,D)) ) ) ) ) ) )).
fof(t18_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r1_bor_cant(A,B,C,D) => ( ( k1_funct_1(C,k3_kurato_0(A,k2_prob_1(A,D))) = k5_numbers | k1_funct_1(C,k3_kurato_0(A,k2_prob_1(A,D))) = 1 ) & ( k1_funct_1(C,k4_kurato_0(A,D)) = k5_numbers | k1_funct_1(C,k4_kurato_0(A,D)) = 1 ) ) ) ) ) ) ) )).
fof(t18_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) => ( v3_pre_topc(C,k2_borsuk_1(A,B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( ( D = k7_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),C) => v3_pre_topc(D,A) ) & ( E = k7_relset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),C) => v3_pre_topc(E,B) ) ) ) ) ) ) ) ) )).
fof(t18_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A))))) => ( ( m1_setfam_1(D,u1_struct_0(k2_borsuk_1(B,A))) & v1_tops_2(D,k2_borsuk_1(B,A)) & C = a_3_1_borsuk_3(A,B,D) ) => ( v1_tops_2(C,A) & m1_setfam_1(C,u1_struct_0(A)) ) ) ) ) ) ) )).
fof(t18_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_topmetr)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => m1_subset_1(k1_rcomp_1(A,B),k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) ) )).
fof(t18_borsuk_5,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( ( v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k2_xcmplx_0(A,B)) ) ) )).
fof(t18_borsuk_6,axiom,( v4_pre_topc(a_0_4_borsuk_6,k15_euclid(2)) & m1_subset_1(a_0_4_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(t18_borsuk_7,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k39_valued_1(k24_valued_1(B,A)) = k24_valued_1(k39_valued_1(B),k1_square_1(A)) ) ) )).
fof(t18_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_bspace)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_bspace)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k4_bspace(A,k3_rlvect_1(k2_bspace,B,C),D) = k5_subset_1(A,k4_bspace(A,B,D),k4_bspace(A,C,D)) ) ) ) )).
fof(t18_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r1_bvfunc_1(A,k1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E)),k7_bvfunc_2(A,k7_bvfunc_2(A,k1_bvfunc_1(A,B),C,D),C,E)) ) ) ) ) ) ) )).
fof(t18_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ~ ( v2_bvfunc_2(B,A) & B = k2_enumset1(C,D,E,F) & C != D & C != E & C != F & D != E & D != F & E != F & r1_xboole_0(k15_bvfunc_1(A,H,k2_partit1(A,k2_partit1(A,D,E),F)),k15_bvfunc_1(A,G,C)) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,B,k10_bvfunc_1(A,C,D)),k10_bvfunc_1(A,k10_bvfunc_1(A,B,C),D)) ) ) ) ) )).
fof(t18_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,k11_bvfunc_1(A),B) & r1_bvfunc_1(A,B,k12_bvfunc_1(A)) ) ) ) )).
fof(t18_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_eqrel_1(D,A) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k6_bvfunc_2(A,C,B,D)),k7_bvfunc_2(A,k1_bvfunc_1(A,C),B,D)) ) ) ) ) )).
fof(t18_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,C,D),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),D)) ) ) ) ) ) )).
fof(t18_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k6_bvfunc_2(A,B,D,E),C),k12_bvfunc_1(A)) ) ) ) ) ) ) )).
fof(t18_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,D,k9_bvfunc_1(A,C,B)),k9_bvfunc_1(A,C,k9_bvfunc_1(A,D,B))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t18_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,B),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,C),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,k2_bvfunc_1(A,B,C)),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t18_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) <=> v4_xxreal_2(k9_c0sp1(A,B)) ) ) ) )).
fof(t18_c0sp2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_c0sp2(B))) => ( ( k2_normsp_0(k5_c0sp2(B),C) = k5_numbers => C = k4_struct_0(k5_c0sp2(B)) ) & ( C = k4_struct_0(k5_c0sp2(B)) => k2_normsp_0(k5_c0sp2(B),C) = k5_numbers ) & k2_normsp_0(k5_c0sp2(B),k1_rlvect_1(k5_c0sp2(B),C,A)) = k3_xcmplx_0(k9_complex1(A),k2_normsp_0(k5_c0sp2(B),C)) & r1_xxreal_0(k2_normsp_0(k5_c0sp2(B),k3_rlvect_1(k5_c0sp2(B),C,D)),k2_xcmplx_0(k2_normsp_0(k5_c0sp2(B),C),k2_normsp_0(k5_c0sp2(B),D))) ) ) ) ) ) )).
fof(t18_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ( ( r2_relset_1(k4_ordinal1,k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),B)),k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),C))) & k6_cqc_lang(A,k2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),B))) = k2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),C)) & k2_calcul_1(A,B) = k2_calcul_1(A,C) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),B),k2_calcul_1(A,B)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),C),k2_calcul_1(A,C)) ) => ( r1_xxreal_0(k3_finseq_1(B),1) | r1_xxreal_0(k3_finseq_1(C),1) | r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),B)),k2_calcul_1(A,B)) ) ) ) ) ) )).
fof(t18_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => r2_calcul_1(A,B,k8_finseq_1(k3_cqc_lang(A),C,B)) ) ) ) )).
fof(t18_cantor_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v1_tops_2(B,g1_pre_topc(A,k1_cantor_1(A,k2_cantor_1(A,B)))) & v2_cantor_1(B,g1_pre_topc(A,k1_cantor_1(A,k2_cantor_1(A,B)))) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(A,k1_cantor_1(A,k2_cantor_1(A,B))))))) ) ) ) )).
fof(t18_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => r2_tarski(A,k2_card_1(A)) ) )).
fof(t18_card_2,axiom,( ! [A] : ( v1_card_1(A) => k1_card_2(A,k5_numbers) = A ) )).
fof(t18_card_3,axiom,( ! [A] : ! [B] : ! [C] : r1_tarski(k6_subset_1(k5_card_3(A,B),k5_card_3(A,C)),k5_card_3(A,k6_subset_1(B,C))) )).
fof(t18_card_4,axiom,( ! [A] : ( ~ v1_finset_1(A) => ( r2_wellord2(k2_zfmisc_1(A,A),A) & k1_card_1(k2_zfmisc_1(A,A)) = k1_card_1(A) ) ) )).
fof(t18_card_5,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( ( r1_ordinal1(B,A) | r2_tarski(B,A) ) => ( k1_card_2(B,A) = A & k1_card_2(A,B) = A & k2_card_2(B,A) = A & k2_card_2(A,B) = A ) ) ) ) )).
fof(t18_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( r2_tarski(B,k4_card_fil(A)) <=> r2_tarski(k1_card_1(k6_subset_1(A,B)),k1_card_1(A)) ) ) ) )).
fof(t18_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( v1_finset_1(C) => ! [D] : ( v1_finset_1(D) => ( r1_xboole_0(C,D) => ( A = B | r2_tarski(k1_funct_4(k7_funcop_1(C,A),k7_funcop_1(D,B)),k1_card_fin(k2_xboole_0(C,D),k4_card_1(C),A,B)) ) ) ) ) )).
fof(t18_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_card_lar(k2_card_lar(A,B),A) ) ) )).
fof(t18_cardfin2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ~ ( k4_card_1(A) = 23 & k4_card_1(B) = 365 & r1_xxreal_0(k1_rpr_1(k1_funct_2(A,B),k4_cardfin2(A,B)),k7_xcmplx_0(1,2)) ) ) ) )).
fof(t18_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( ( k3_graph_1(A,D) = k4_graph_1(A,C) & k3_graph_1(A,C) = k4_graph_1(A,B) ) => k1_cat_1(A,k1_cat_1(A,B,C),D) = k1_cat_1(A,B,k1_cat_1(A,C,D)) ) ) ) ) ) )).
fof(t18_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m3_cat_2(B,A) => ( v1_cat_2(B,A) <=> v13_cat_1(k5_cat_2(A,B),B,A) ) ) ) )).
fof(t18_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u4_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u4_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => ( r2_funct_2(A,u1_struct_0(B),k2_cat_3(B,A,C),k3_cat_3(B,A,D)) => ( r2_funct_2(A,u1_struct_0(B),k2_cat_3(B,A,k8_cat_3(B,A,C,D)),k2_cat_3(B,A,D)) & r2_funct_2(A,u1_struct_0(B),k3_cat_3(B,A,k8_cat_3(B,A,C,D)),k3_cat_3(B,A,C)) ) ) ) ) ) )).
fof(t18_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_graph_1(A,k4_cat_4(A,B,C)) = k2_cat_4(A,B,C) & k4_graph_1(A,k4_cat_4(A,B,C)) = C ) ) ) ) )).
fof(t18_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_cat_1(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v1_cat_1(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & v3_cat_5(D) & l1_cat_1(D) ) => ( ( u1_struct_0(C) = A & ! [E] : ( m1_cat_5(E,A) => ! [F] : ( m1_cat_5(F,A) => ! [G] : ( m2_cat_1(G,E,F) => ( m1_subset_1(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(E),u4_struct_0(F))),k1_domain_1(A,A,E,F),G),u4_struct_0(C)) <=> r2_tarski(G,B) ) ) ) ) & u1_struct_0(D) = A & ! [E] : ( m1_cat_5(E,A) => ! [F] : ( m1_cat_5(F,A) => ! [G] : ( m2_cat_1(G,E,F) => ( m1_subset_1(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(E),u4_struct_0(F))),k1_domain_1(A,A,E,F),G),u4_struct_0(D)) <=> r2_tarski(G,B) ) ) ) ) ) => C = D ) ) ) ) ) )).
fof(t18_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A)))) => ( B = C => ( v3_cat_6(B,A) <=> v3_cat_6(C,g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) ) ) ) )).
fof(t18_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_cat_7(D,A,B,C) => ( k1_cat_7(A,B,C) != k1_xboole_0 => ( k4_cat_7(A,B,B,C,k3_cat_7(A,B),D) = D & k4_cat_7(A,B,C,C,D,k3_cat_7(A,C)) = D ) ) ) ) ) ) )).
fof(t18_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => m1_subset_1(k1_catalan1(A),k4_ordinal1) ) )).
fof(t18_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ( v1_catalan2(A) => ( v1_catalan2(k1_catalan2(k5_afinsq_1(k5_numbers),A)) & a_1_2_catalan2(A) = k1_xboole_0 ) ) ) )).
fof(t18_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(k3_catalg_1(A))) => ~ ( ( k1_xfamily(B) = 2 | k3_finseq_1(k2_xfamily(B)) = 3 ) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => B != k10_catalg_1(A,C,D,E) ) ) ) ) ) ) )).
fof(t18_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v11_algstr_0(B,A) & v11_algstr_0(C,A) ) => v11_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) ) ) ) ) )).
fof(t18_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k8_funcop_1(k4_ordinal1,A,k5_numbers) = k4_struct_0(k7_cc0sp1(A)) ) )).
fof(t18_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_cc0sp2(A))) => k1_binop_1(k1_cc0sp1(k8_cfuncdom(u1_struct_0(A)),k2_cc0sp2(A)),k6_complex1,B) = B ) ) )).
fof(t18_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( m2_valued_0(B,k2_numbers,A) & v2_comseq_2(A) ) => k3_comseq_2(B) = k3_comseq_2(A) ) ) ) )).
fof(t18_cfuncdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ! [E] : ( m2_funct_2(E,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ( ( r2_tarski(A,C) & r2_tarski(B,C) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(D,F) = k6_complex1 ) & ( F != A => k1_funct_1(D,F) = k5_numbers ) ) ) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(E,F) = k5_numbers ) & ( F != A => k1_funct_1(E,F) = k6_complex1 ) ) ) ) => ( A = B | ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ( k1_binop_1(k1_cfuncdom(C),k1_funct_1(k3_cfuncdom(C),k4_tarski(F,D)),k1_funct_1(k3_cfuncdom(C),k4_tarski(G,E))) = k4_cfuncdom(C) => ( F = k5_complex1 & G = k5_complex1 ) ) ) ) ) ) ) ) ) )).
fof(t18_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( v1_xcmplx_0(D) => r2_relset_1(A,k2_numbers,k25_valued_1(A,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,B,C),D),k19_valued_1(A,k2_numbers,k2_numbers,B,k25_valued_1(A,k2_numbers,C,D))) ) ) ) ) )).
fof(t18_cgames_1,axiom,( ! [A] : ! [B] : ( v2_cgames_1(B) => ( ( r2_tarski(A,k6_cgames_1(B)) | r2_tarski(A,k7_cgames_1(B)) ) => ( v2_cgames_1(A) & l1_cgames_1(A) ) ) ) )).
fof(t18_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & ! [C] : ( m1_subset_1(C,k1_numbers) => ~ m2_chain_1(k4_tarski(B,C),A) ) ) ) ) )).
fof(t18_chord,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( k3_finseq_1(k15_finseq_1(C)) = k3_finseq_1(B) => k15_finseq_1(C) = B ) ) ) )).
fof(t18_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(A,D))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(B,E))) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(C,F))) => ( ( G = k5_relat_1(I,u1_struct_0(A)) & H = k5_relat_1(I,u1_struct_0(B)) & v1_circuit2(G,A,D) ) => ! [J] : ( v7_ordinal1(J) => k5_relat_1(k5_facirc_1(C,F,I,J),u1_struct_0(B)) = k5_facirc_1(B,E,H,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_circcmb3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k5_circcomb(C,D),k7_circcomb(A,B,C,D)))) => k1_funct_1(k6_circuit2(k5_circcomb(C,D),k7_circcomb(A,B,C,D),E),k3_circcmb3(k5_circcomb(C,D))) = k1_funct_1(C,k3_relat_1(D,E)) ) ) ) ) ) )).
fof(t18_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => r2_circcomb(A,A,B,B) ) ) )).
fof(t18_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ~ ( v1_circled1(B,A) & B = k4_rlvect_2(A) ) ) ) )).
fof(t18_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m3_msaterm(C,A,B) => ! [D] : ( m3_msaterm(D,A,B) => ! [E] : ( ( v4_msualg_1(E,A) & l3_msualg_1(E,A) ) => r2_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D),k6_circtrm1(A,B,C,E),k6_circtrm1(A,B,D,E)) ) ) ) ) ) )).
fof(t18_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_circuit1(A,B,C) = k5_numbers <=> ( r2_tarski(C,k2_msafree2(A)) | r2_tarski(C,k1_msafree2(A)) ) ) ) ) ) )).
fof(t18_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ( v3_funct_1(k9_funct_6(C)) => ( v1_xboole_0(k2_msafree2(A)) | ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( E = k7_circuit1(A,B) => v1_circuit2(k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),E),A,B) ) ) ) ) ) ) ) ) )).
fof(t18_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( v1_pdiff_7(C,A) & D = k7_funcop_1(C,E) & r1_tarski(k2_relset_1(k4_ordinal1,B),k2_finseq_1(A)) ) => ( r4_pdiff_9(A,C,B,D) & r1_pdiff_9(A,C,k5_pdiff_9(A,C,B,D)) ) ) ) ) ) ) ) )).
fof(t18_classes1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ( k3_classes1(A,B) = k3_classes1(A,k1_ordinal1(B)) => k3_classes1(A,B) = k1_classes1(A) ) ) )).
fof(t18_classes2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( r2_tarski(A,k1_classes1(B)) => r1_tarski(A,k1_classes1(B)) ) ) )).
fof(t18_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ( v1_funct_1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B))) & v1_funct_2(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),A,B) & v1_clopban1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),A,B) & m1_subset_1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(t18_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k1_funct_1(k13_clopban1(A,A),k6_partfun1(u1_struct_0(A))) = 1 ) )).
fof(t18_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clopban3(B,A) & v1_clopban3(C,A) ) => ( v1_clopban3(k2_normsp_1(A,B,C),A) & k1_clopban3(A,k2_normsp_1(A,B,C)) = k5_algstr_0(A,k1_clopban3(A,B),k1_clopban3(A,C)) ) ) ) ) ) )).
fof(t18_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => k1_clvect_1(A,k3_clopban3(A,k3_rlvect_1(A,C,D),B),k7_xcmplx_0(k6_complex1,k2_newton(B))) = k1_normsp_0(A,k1_bhsp_4(A,k3_clopban4(B,A,C,D)),B) ) ) ) ) ) )).
fof(t18_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => ! [E] : ( m1_pboole(E,A,k5_mssubfam(A,B)) => ( v2_closure1(C,A,B) => r2_pboole(A,k16_pralg_1(A,C,k3_pboole(A,D,E)),k3_pboole(A,k2_closure1(A,B,C,D),k2_closure1(A,B,C,E))) ) ) ) ) ) )).
fof(t18_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) => ( ( r2_tarski(A,B) & E = k1_tarski(D) ) => k1_funct_1(k4_closure2(B,C,E),A) = k1_tarski(k1_funct_1(D,A)) ) ) ) ) )).
fof(t18_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_rlvect_1(A,k2_finseq_4(u1_struct_0(A),k4_algstr_0(A,B),k4_algstr_0(A,B))) = k1_clvect_1(A,B,k4_xcmplx_0(k2_xcmplx_0(k6_complex1,k6_complex1))) ) ) )).
fof(t18_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(C,A) => k1_clvect_2(A,k3_normsp_1(A,C,B)) = k5_algstr_0(A,k1_clvect_2(A,C),B) ) ) ) ) )).
fof(t18_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => k2_clvect_3(A,B,k1_nat_1(C,1)) = k3_rlvect_1(A,k2_clvect_3(A,B,C),k1_normsp_0(A,B,k1_nat_1(C,1))) ) ) ) )).
fof(t18_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ? [C] : ( m1_subset_1(C,k4_coh_sp(A)) & ? [D] : ( m1_subset_1(D,k3_coh_sp(A)) & ? [E] : ( m1_subset_1(E,k3_coh_sp(A)) & B = k4_tarski(k4_tarski(D,E),C) & ( k3_tarski(E) = k1_xboole_0 => k3_tarski(D) = k1_xboole_0 ) & v1_funct_1(C) & v1_funct_2(C,k3_tarski(D),k3_tarski(E)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(D),k3_tarski(E)))) & ! [F] : ! [G] : ( r2_tarski(k2_tarski(F,G),D) => r2_tarski(k2_tarski(k1_funct_1(C,F),k1_funct_1(C,G)),E) ) ) ) ) ) )).
fof(t18_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_cohsp_1(A) => k1_funct_1(A,k1_xboole_0) = k1_xboole_0 ) ) )).
fof(t18_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_collsp(D,A) => ( ( r2_tarski(B,D) & r2_tarski(C,D) ) => ( B = C | r1_tarski(k1_collsp(A,B,C),D) ) ) ) ) ) ) )).
fof(t18_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A))) => k4_combgras(A,B,C,D) = a_4_0_combgras(A,B,C,D) ) ) ) ) )).
fof(t18_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k1_topmetr(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_topmetr(A,B))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_funct_2(k4_ordinal1,u1_struct_0(k1_topmetr(A,B)),k4_ordinal1,u1_struct_0(A),C,D) => ( v3_tbsp_1(D,A) <=> v3_tbsp_1(C,k1_topmetr(A,B)) ) ) ) ) ) ) )).
fof(t18_complex1,axiom,( k3_xcmplx_0(k7_complex1,k7_complex1) = k4_xcmplx_0(k6_complex1) )).
fof(t18_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( r2_hidden(k1_comptrig(A),k2_rcomp_1(k5_numbers,k28_sin_cos)) <=> ~ r1_xxreal_0(k4_complex1(A),k5_numbers) ) ) )).
fof(t18_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ~ ( A != k4_struct_0(k1_complfld) & B != k4_struct_0(k1_complfld) & k9_algstr_0(k1_complfld,k8_group_1(k1_complfld,A,B)) != k8_group_1(k1_complfld,k9_algstr_0(k1_complfld,A),k9_algstr_0(k1_complfld,B)) ) ) ) )).
fof(t18_complsp2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_2(C,k2_numbers,k4_finseq_2(A,k2_numbers)) => ! [D] : ( m2_finseq_2(D,k2_numbers,k4_finseq_2(A,k2_numbers)) => k9_matrix_5(k3_complsp2(A,C,D),B) = k2_xcmplx_0(k9_matrix_5(C,B),k9_matrix_5(D,B)) ) ) ) ) )).
fof(t18_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) ) => r1_xboole_0(k2_afinsq_1(k63_valued_1(B)),k9_xtuple_0(k6_compos_1(A,C,k7_nat_d(k4_card_1(B),1)))) ) ) ) )).
fof(t18_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v4_compos_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) ) => ( r1_tarski(k63_valued_1(B),C) => r1_tarski(k63_valued_1(B),k63_valued_1(C)) ) ) ) ) )).
fof(t18_comptrig,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k3_xcmplx_0(2,k28_sin_cos),A) & k19_sin_cos(A) = k5_numbers & A != k7_xcmplx_0(k28_sin_cos,2) & A != k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos) ) ) )).
fof(t18_compts_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_finset_1(u1_struct_0(A)) => v1_compts_1(A) ) ) )).
fof(t18_comput_1,axiom,( k18_margrel1(k1_xboole_0) = k5_numbers )).
fof(t18_comseq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C),A),k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,B,A),k25_valued_1(k4_ordinal1,k2_numbers,C,A))) ) ) ) )).
fof(t18_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v1_xcmplx_0(B) => k3_comseq_2(k25_valued_1(k4_ordinal1,k2_numbers,A,B)) = k3_xcmplx_0(B,k3_comseq_2(A)) ) ) )).
fof(t18_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k7_comseq_3(A),k7_comseq_3(B)),k7_comseq_3(k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B))) & r2_funct_2(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_comseq_3(A),k8_comseq_3(B)),k8_comseq_3(k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B))) ) ) ) )).
fof(t18_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => k1_funct_1(k2_conlat_1(A),k1_xboole_0) = u1_struct_0(A) ) )).
fof(t18_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B) = k1_funct_1(k2_conlat_1(k7_conlat_2(A)),B) ) ) )).
fof(t18_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(C,A) & r1_tarski(C,B) & r1_tarski(B,k2_pre_topc(A,C)) ) => v2_connsp_1(B,A) ) ) ) ) )).
fof(t18_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_2(A) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & r3_connsp_1(A,B,C) ) => v3_pre_topc(C,A) ) ) ) ) ) )).
fof(t18_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_connsp_1(B,A) & v2_connsp_1(C,A) & r1_xboole_0(B,C) ) => ( C = k1_xboole_0 | r1_xboole_0(B,k1_connsp_3(A,C)) ) ) ) ) ) )).
fof(t18_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( B = a_3_2_convex1(A,C,D) => v1_convex1(B,A) ) ) ) ) ) )).
fof(t18_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_convex4(A,B) = k7_domain_1(u1_struct_0(A),C,D) => ( C = D | k4_convex4(A,B) = k3_rlvect_1(A,k1_clvect_1(A,C,k3_funct_2(u1_struct_0(A),k2_numbers,B,C)),k1_clvect_1(A,D,k3_funct_2(u1_struct_0(A),k2_numbers,B,D))) ) ) ) ) ) ) )).
fof(t18_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v3_qc_lang1(C,A) => k13_cqc_lang(A,C,B) = k13_qc_lang1(A,k13_cqc_lang(A,k18_qc_lang1(A,C),B)) ) ) ) ) )).
fof(t18_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => k7_cqc_sim1(A,k11_cqc_lang(A,C,B)) = k1_nat_1(k7_cqc_sim1(A,B),1) ) ) ) )).
fof(t18_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r1_tarski(B,C) => r1_tarski(k1_cqc_the1(A,B),k1_cqc_the1(A,C)) ) ) ) ) )).
fof(t18_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => v2_cqc_the1(k8_cqc_lang(A,k11_cqc_lang(A,C,B),k12_cqc_lang(A,D,B)),A) ) ) ) ) )).
fof(t18_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r4_cqc_the3(A,B,C) <=> ( r2_cqc_the3(A,B,C) & r2_cqc_the3(A,C,B) ) ) ) ) ) )).
fof(t18_csspace,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v2_csspace(B) & l1_csspace(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k10_csspace(B,C,k1_clvect_1(B,D,A)) = k3_xcmplx_0(k8_complex1(A),k10_csspace(B,C,D)) ) ) ) ) )).
fof(t18_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_csspace4(A,B))) => r1_xxreal_0(k5_numbers,k2_normsp_0(k9_csspace4(A,B),C)) ) ) ) )).
fof(t18_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => ( ( v2_dblseq_1(A) & v2_comseq_2(k2_dblseq_1(A)) ) => ( v2_comseq_2(k2_dblseq_1(B)) & k4_dblseq_1(B) = k4_dblseq_1(A) ) ) ) ) )).
fof(t18_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(A),B,C) = k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,C)),B) & k2_binop_1(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(A),B,C) = k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)),C) ) ) ) ) )).
fof(t18_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_decomp_1(C,A,B) <=> ( v6_decomp_1(C,A,B) & v14_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t18_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k2_xcmplx_0(C,D),k3_finseq_1(B)) => k8_finseq_1(A,k17_finseq_1(A,C,B),k17_finseq_1(A,D,k2_rfinseq(A,C,B))) = k17_finseq_1(A,k2_xcmplx_0(C,D),B) ) ) ) ) ) )).
fof(t18_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v3_dickson(A) & v5_orders_2(B) & v1_wellfnd1(k5_dickson(B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,D,E) => r1_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) & ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) => r2_tarski(k7_yellow_3(A,A,D,E),k1_dickson(A)) ) ) ) ) ) => v1_wellfnd1(k5_dickson(A)) ) ) ) ) )).
fof(t18_diff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(C,A),1),B) = k6_xcmplx_0(k1_funct_1(C,B),k1_funct_1(k2_diff_1(C,k4_xcmplx_0(A)),B)) ) ) ) )).
fof(t18_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_zfmisc_1(A,B,C,D) => ( k11_diff_1(E,A,B,C,D) = k11_diff_1(E,B,C,D,A) & k11_diff_1(E,A,B,C,D) = k11_diff_1(E,D,C,B,A) ) ) ) ) ) ) ) )).
fof(t18_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(D,B),A),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(D,B),A),k2_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(A,2),B))) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(D,B),A),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(D,B),A),k6_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(A,2),B))) ) ) ) ) ) )).
fof(t18_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(A,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) & r2_hidden(B,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) ) => k9_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k1_fdiff_9),A,B) = k7_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(4,k3_xcmplx_0(k19_sin_cos(k2_xcmplx_0(B,A)),k17_sin_cos(k6_xcmplx_0(B,A)))),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2,A)),k17_sin_cos(k3_xcmplx_0(2,B)))),k6_xcmplx_0(A,B)) ) ) ) )).
fof(t18_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_dilworth(A) & l1_orders_2(A) ) => ( ( v2_dilworth(k2_struct_0(A),A) & m1_subset_1(k2_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) => k1_dilworth(A) = 1 ) ) )).
fof(t18_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_diraf(A,B,C,D,E) <=> r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E)),k1_diraf(u1_struct_0(A),u1_analoaf(A))) ) ) ) ) ) ) )).
fof(t18_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_dirort(A) & l1_analmetr(A) ) => ( v3_dirort(A) => ( ( ~ v5_dirort(A) & ~ v6_dirort(A) ) | v4_dirort(A) ) ) ) )).
fof(t18_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => k16_rvsum_1(k9_dist_1(A,B)) = k3_finseq_1(B) ) ) )).
fof(t18_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_2(B,A,k3_finseq_2(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_tarski(k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,C),k7_margrel1),k9_setfam_1(k4_finseq_1(B))) ) ) ) )).
fof(t18_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => A = a_1_0_domain_1(A) ) )).
fof(t18_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => m1_rlsub_1(g1_rlvect_1(k11_dualsp01(A),k7_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k5_rsspace(k8_dualsp01(A),k11_dualsp01(A)),k6_rsspace(k8_dualsp01(A),k11_dualsp01(A))),k8_dualsp01(A)) ) )).
fof(t18_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k17_dualsp01(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,k3_dualsp02))) => ( B = C => k2_normsp_0(k17_dualsp01(A),B) = k2_normsp_0(k16_lopban_1(A,k3_dualsp02),C) ) ) ) ) )).
fof(t18_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_dynkin(B,A) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_xboole_0(C,D) => r2_tarski(k4_subset_1(A,C,D),B) ) ) ) ) ) )).
fof(t18_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( r1_tarski(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))),k2_zfmisc_1(k8_e_siec(A),k7_e_siec(A))) & r1_tarski(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))),k2_zfmisc_1(k8_e_siec(A),k7_e_siec(A))) ) ) )).
fof(t18_ec_pf_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) ) => k8_group_1(k9_int_3(C),D,E) = k5_int_1(k3_xcmplx_0(A,B),C) ) ) ) ) ) ) )).
fof(t18_ec_pf_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) & F = k5_int_1(k2_xcmplx_0(A,B),C) ) => k3_rlvect_1(k9_int_3(C),k8_group_1(k9_int_3(C),D,G),k8_group_1(k9_int_3(C),E,G)) = k8_group_1(k9_int_3(C),F,G) ) ) ) ) ) ) ) ) )).
fof(t18_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k2_ens_1(A) = k3_tarski(a_1_2_ens_1(A)) ) )).
fof(t18_entropy1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k4_finseq_1(k1_matrprob(A,B,C)) = k2_finseq_1(k1_matrix_0(B)) ) ) ) ) )).
fof(t18_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_enumset1(A,B,C),k2_enumset1(D,E,F,G)) )).
fof(t18_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_hidden(B,k9_relat_1(C,A)) <=> r2_hidden(k4_tarski(A,B),C) ) ) )).
fof(t18_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( r2_tarski(E,k3_msualg_1(A,D,C)) => r2_tarski(E,k3_msualg_1(A,D,B)) ) ) ) ) ) )).
fof(t18_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k12_euclid(k8_euclid(A,B,C)) = k12_euclid(k8_euclid(A,C,B)) ) ) ) )).
fof(t18_euclid10,axiom,( k19_sin_cos(k7_xcmplx_0(k28_sin_cos,6)) = k7_xcmplx_0(k3_square_1(3),2) )).
fof(t18_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k3_rlvect_1(k15_euclid(A),B,C),D) = k2_xcmplx_0(k22_rvsum_1(B,D),k22_rvsum_1(C,D)) ) ) ) ) )).
fof(t18_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( k2_euclid_3(A) = k5_complex1 => A = k4_struct_0(k15_euclid(2)) ) ) )).
fof(t18_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => k22_rvsum_1(B,k5_euclid(A)) = k5_numbers ) ) )).
fof(t18_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => k5_euclid_5(k4_algstr_0(k15_euclid(3),A),B) = k5_euclid_5(A,k4_algstr_0(k15_euclid(3),B)) ) ) )).
fof(t18_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( k12_euclid(k5_algstr_0(k15_euclid(2),A,C)) = k12_euclid(k5_algstr_0(k15_euclid(2),B,C)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) ) => ( D = C | D = A | ( k4_euclid_3(C,D,A) != k7_xcmplx_0(k28_sin_cos,2) & k4_euclid_3(C,D,A) != k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos) ) | k4_euclid_3(A,C,D) = k4_euclid_3(D,C,B) ) ) ) ) ) ) )).
fof(t18_euclid_7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_euclid(k5_numbers))) => ( v5_euclid_7(A,k5_numbers) => A = k1_xboole_0 ) ) )).
fof(t18_euclid_8,axiom,( k5_euclid_8(k4_euclid_8,k2_euclid_8) = k3_euclid_8 )).
fof(t18_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ( A != k5_numbers => r1_tarski(k4_euclid_9(A,C,B),k8_metric_1(k14_euclid(A),C,k3_xcmplx_0(B,k3_square_1(A)))) ) ) ) ) )).
fof(t18_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => k8_euclid(A,k7_euclid(A,B,C),k7_euclid(A,D,E)) = k7_euclid(A,k8_euclid(A,B,D),k8_euclid(A,C,E)) ) ) ) ) ) )).
fof(t18_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( r1_analmetr(A,B,C) & k4_struct_0(A) != D & k4_struct_0(A) != E & r2_analmetr(A,D,E,B,C) & D = k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)) & ! [H] : ( v1_xreal_0(H) => ~ ( H != k5_numbers & E = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xcmplx_0(H,G)),k1_rlvect_1(A,C,k4_xcmplx_0(k3_xcmplx_0(H,F)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_euler_1,axiom,( k1_euler_1(2) = 1 )).
fof(t18_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) => ( A = k5_numbers | r1_xxreal_0(B,1) | k4_nat_d(k1_newton(A,k1_euler_1(B)),B) = 1 ) ) ) ) )).
fof(t18_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v1_xboole_0(B) => v2_exchsort(B,A) ) ) )).
fof(t18_extens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ( r8_pboole(u1_struct_0(A),D,E) => k12_msualg_2(A,B,D) = k12_msualg_2(A,C,E) ) ) ) ) ) ) )).
fof(t18_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( v7_ordinal1(E) => ( r1_compos_1(B,C,k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E))) => k6_extpro_1(A,B,C,D) = k5_extpro_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t18_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r1_xxreal_0(A,k5_numbers) => k3_extreal1(A) = k2_xxreal_3(A) ) ) )).
fof(t18_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( r2_tarski(D,k2_msafree2(A)) => r1_facirc_1(A,B,C,D) ) ) ) ) )).
fof(t18_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & k2_msafree2(k14_facirc_1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t18_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C))) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,A)) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A)) ) ) ) ) )).
fof(t18_fcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( v2_funct_1(C) & r1_xxreal_0(B,A) & r1_tarski(k1_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) & ~ ( k3_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) = k1_funct_1(C,B) & k2_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) = k1_funct_1(C,A) ) & ~ ( k3_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) = k1_funct_1(C,A) & k2_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) = k1_funct_1(C,B) ) ) ) ) ) )).
fof(t18_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(k10_prob_1(A),k1_relset_1(k1_numbers,B)) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A))) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A))),k7_relset_1(k1_numbers,k1_numbers,B,k10_prob_1(A)))) ) ) ) ) )).
fof(t18_fdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & r2_fdiff_1(B,A) & r2_fdiff_1(C,A) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D) = k2_xcmplx_0(k1_fdiff_1(B,D),k1_fdiff_1(C,D)) ) ) ) ) ) ) ) )).
fof(t18_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k22_sin_cos))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k22_sin_cos),A),B) = k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),B),k3_xcmplx_0(k1_funct_1(k3_taylor_1,B),k1_funct_1(k22_sin_cos,B))) ) ) ) ) ) )).
fof(t18_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k26_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k26_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k26_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k2_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) )).
fof(t18_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_fdiff_1(B,A) & r2_fdiff_1(C,A) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_1(B,A),k2_fdiff_1(C,A))) ) ) ) ) ) )).
fof(t18_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r3_fdiff_3(A,C) & r3_fdiff_3(B,C) ) => ( r3_fdiff_3(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) & k2_fdiff_3(C,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)) = k2_xcmplx_0(k3_xcmplx_0(k2_fdiff_3(C,A),k1_funct_1(B,C)),k3_xcmplx_0(k2_fdiff_3(C,B),k1_funct_1(A,C))) ) ) ) ) ) )).
fof(t18_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1))) & D = k1_taylor_1(2) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => ( k1_funct_1(C,E) = k1_square_1(A) & ~ r1_xxreal_0(k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),E),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1),B),E) = k7_xcmplx_0(k3_xcmplx_0(2,E),k2_xcmplx_0(k1_square_1(A),k1_newton(E,2))) ) ) ) ) ) ) ) ) )).
fof(t18_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),k22_sin_cos),k7_xcmplx_0(1,k6_xcmplx_0(k3_power(k4_power,A),1))))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(D,k3_power(k4_power,A)) ) ) ) => ( r1_xxreal_0(A,k5_numbers) | A = k4_power | ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),k22_sin_cos),k7_xcmplx_0(1,k6_xcmplx_0(k3_power(k4_power,A),1))),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos),k22_sin_cos),k7_xcmplx_0(1,k6_xcmplx_0(k3_power(k4_power,A),1))),B),D) = k7_xcmplx_0(k6_prepower(A,D),k1_funct_1(k22_sin_cos,D)) ) ) ) ) ) ) ) ) )).
fof(t18_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos6))) & r1_tarski(C,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(A,E),B) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos6),C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k1_sin_cos6),C),E) = k2_xcmplx_0(k3_xcmplx_0(A,k1_funct_1(k1_sin_cos6,E)),k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,E),B),k3_square_1(k6_xcmplx_0(1,k1_square_1(E))))) ) ) ) ) ) ) ) ) )).
fof(t18_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k3_taylor_1))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k3_taylor_1),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k3_taylor_1),A),B) = k7_xcmplx_0(1,k3_xcmplx_0(k1_funct_1(k18_sin_cos,B),k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t18_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k3_taylor_1))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k3_taylor_1),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k3_taylor_1),A),B) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,B),k1_funct_1(k18_sin_cos,B)) ) ) ) ) ) )).
fof(t18_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_tarski(k9_xtuple_0(k8_ff_siec(A)),k2_net_1(A)) & r1_tarski(k10_xtuple_0(k8_ff_siec(A)),k2_net_1(A)) & r1_tarski(k9_xtuple_0(k7_ff_siec(A)),k2_net_1(A)) & r1_tarski(k10_xtuple_0(k7_ff_siec(A)),k2_net_1(A)) ) ) )).
fof(t18_fib_num2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_finseq_1(C) ) => ( C = k1_tarski(k4_tarski(1,B)) => k61_valued_1(C,A) = k1_tarski(k4_tarski(k1_nat_1(1,A),B)) ) ) ) )).
fof(t18_fib_num3,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => r1_xxreal_0(k1_fib_num3(A),k1_fib_num3(k1_nat_1(A,1))) ) )).
fof(t18_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => k1_int_1(k2_xcmplx_0(k7_xcmplx_0(k2_power(k1_fib_num,A),k3_square_1(5)),k7_xcmplx_0(1,2))) = k1_pre_ff(A) ) )).
fof(t18_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(C,k3_finseq_1(B)) => k4_finseq_5(A,k2_rfinseq(A,C,B)) = k17_finseq_1(A,k7_nat_d(k3_finseq_1(B),C),k4_finseq_5(A,B)) ) ) ) ) )).
fof(t18_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v13_lattices(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( B != u1_struct_0(A) & ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(B,C) & v1_filter_0(C,A) ) ) ) ) ) ) )).
fof(t18_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v13_lattices(A) => ( ~ v2_struct_0(k4_filter_1(A,B)) & v10_lattices(k4_filter_1(A,B)) & v13_lattices(k4_filter_1(A,B)) & l3_lattices(k4_filter_1(A,B)) & k5_lattices(k4_filter_1(A,B)) = k5_filter_1(A,B,k5_lattices(A)) ) ) ) ) )).
fof(t18_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice2(A))) => ( k4_lattices(A,B,C) = k3_lattices(k1_lattice2(A),k1_filter_2(A,B),k1_filter_2(A,C)) & k3_lattices(A,B,C) = k4_lattices(k1_lattice2(A),k1_filter_2(A,B),k1_filter_2(A,C)) & k4_lattices(k1_lattice2(A),D,E) = k3_lattices(A,k2_filter_2(A,D),k2_filter_2(A,E)) & k3_lattices(k1_lattice2(A),D,E) = k4_lattices(A,k2_filter_2(A,D),k2_filter_2(A,E)) ) ) ) ) ) ) )).
fof(t18_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A,B) = k9_subset_1(u1_struct_0(A),k9_fin_topo(A,B),k9_fin_topo(A,k3_subset_1(u1_struct_0(A),B))) ) ) )).
fof(t18_finance2,axiom,( m1_prob_1(k3_numbers,k1_numbers,k12_prob_1) )).
fof(t18_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => m2_finseq_1(k2_partfun1(k4_ordinal1,B,C,k1_finseq_1(A)),B) ) ) )).
fof(t18_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( k3_finseq_1(B) = k1_nat_1(A,1) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : B != k7_finseq_1(C,k9_finseq_1(D)) ) ) ) ) )).
fof(t18_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k2_finseq_1(A),k2_finseq_1(k2_xcmplx_0(A,B))) ) ) )).
fof(t18_finseq_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( k7_partfun1(A,k3_finseq_4(A,B,C,D),1) = B & k7_partfun1(A,k3_finseq_4(A,B,C,D),2) = C & k7_partfun1(A,k3_finseq_4(A,B,C,D),3) = D ) ) ) ) ) )).
fof(t18_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k4_finseq_1(k16_finseq_1(B,A)),k4_finseq_1(A)) ) ) )).
fof(t18_finseq_6,axiom,( ! [A] : k4_finseq_4(k9_finseq_1(A),A) = 1 )).
fof(t18_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k3_finseq_1(k2_finseq_7(A,B,C,D)) = k3_finseq_1(B) ) ) ) ) )).
fof(t18_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(D,E) & r2_finseq_8(A,B,C,E) ) => r2_finseq_8(A,B,C,D) ) ) ) ) ) ) )).
fof(t18_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => r2_relset_1(k4_ordinal1,C,k3_finseqop(A,B,C,G,D,k5_finseq_2(B,F,E)),k5_finseq_2(C,F,k2_binop_1(A,B,C,G,D,E))) ) ) ) ) ) ) ) )).
fof(t18_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( v2_binop_1(C,A) => ( ( ~ v1_setwiseo(C,A) & ~ ( D != k5_numbers & E != k5_numbers ) ) | k1_finsop_1(A,k5_finseq_2(A,k2_xcmplx_0(D,E),B),C) = k4_binop_1(A,C,k1_finsop_1(A,k5_finseq_2(A,D,B),C),k1_finsop_1(A,k5_finseq_2(A,E,B),C)) ) ) ) ) ) ) ) )).
fof(t18_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k12_fin_topo(A,C)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k4_fintopo2(A,D,C) = k7_margrel1 & k3_fintopo2(A,D,B) = k7_margrel1 ) ) ) ) ) )).
fof(t18_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => k5_fintopo3(A,B,k1_nat_1(C,1)) = k8_fin_topo(A,k5_fintopo3(A,B,C)) ) ) ) )).
fof(t18_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => v3_orders_2(k2_fintopo4(A)) ) ) )).
fof(t18_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_orders_2(A) & v1_fintopo6(A) & B != k1_xboole_0 & k3_subset_1(u1_struct_0(A),B) != k1_xboole_0 & k5_fin_topo(A,B) = k1_xboole_0 ) ) ) )).
fof(t18_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => k6_flang_1(A,k6_flang_1(A,B,C),D) = k6_flang_1(A,B,k6_flang_1(A,C,D)) ) ) ) )).
fof(t18_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( r1_tarski(B,k6_flang_1(A,B,k8_flang_1(A,C))) & r1_tarski(B,k6_flang_1(A,k8_flang_1(A,C),B)) ) ) ) )).
fof(t18_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k6_flang_1(A,k1_flang_3(A,B,C),k1_flang_3(A,B,D)) = k1_flang_3(A,B,k2_xcmplx_0(C,D)) ) ) ) )).
fof(t18_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(C,A) => r1_tarski(k8_funct_7(C,B),k8_funct_7(A,B)) ) ) ) ) )).
fof(t18_fomodel1,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ~ ( ~ v1_finset_1(k9_subset_1(k15_fomodel1(B),A,k16_fomodel1(B))) & ! [C] : ( ( ~ v6_struct_0(C) & v11_fomodel1(C) & l1_fomodel1(C) ) => ~ ( k37_fomodel1(C) = k9_subset_1(k15_fomodel1(B),A,k37_fomodel1(B)) & v16_fomodel1(B,C) ) ) ) ) )).
fof(t18_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( k29_fomodel2(B,C) = k1_nat_1(A,1) => ( ( v5_fomodel2(C,B) => r2_tarski(C,k33_fomodel2(B,A)) ) & ( r2_tarski(C,k33_fomodel2(B,A)) => v5_fomodel2(C,B) ) & ( ~ v5_fomodel2(C,B) => r2_tarski(C,k32_fomodel2(B,A)) ) & ~ ( r2_tarski(C,k32_fomodel2(B,A)) & v5_fomodel2(C,B) ) ) ) ) ) ) )).
fof(t18_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel1(C,B) & m1_subset_1(C,k1_fomodel1(B)) ) => ! [D] : ( ( v1_partfun1(D,A) & v1_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [E] : ( m2_fomodel2(E,B,A,C) => v2_fomodel3(E,B,A,C,D) ) ) ) ) ) )).
fof(t18_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( v4_funct_1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k40_fomodel2(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k40_fomodel2(B)))) ) => ( ( v7_fomodel4(C,B) & r2_tarski(k25_fomodel4(B),C) & r2_tarski(k35_fomodel4(B),C) & r2_tarski(k26_fomodel4(B),C) & r2_tarski(k32_fomodel4(B),C) & r1_tarski(k45_fomodel4(D,B,C,E),A) & k10_xtuple_0(E) = k40_fomodel2(B) ) => ( v1_finset_1(k7_subset_1(k15_fomodel1(B),k16_fomodel1(B),k21_fomodel0(k9_subset_1(k3_finseq_2(k1_fomodel1(B)),D,k6_subset_1(k3_finseq_2(k1_fomodel1(B)),k1_tarski(k1_xboole_0)))))) | v10_fomodel4(A,B,C) | v14_fomodel4(A,B) ) ) ) ) ) ) )).
fof(t18_frechet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r1_tarski(C,A) => ( r2_tarski(D,A) | k8_relat_1(k1_funct_4(k6_partfun1(A),k7_funcop_1(B,D)),k2_xboole_0(C,k1_tarski(D))) = k2_xboole_0(C,B) ) ) )).
fof(t18_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k1_frechet2(A,B)) ) ) )).
fof(t18_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => v1_circuit2(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)) ) ) ) ) )).
fof(t18_fscirc_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k3_fscirc_2(C,A,B)) = k1_xboole_0 & k2_xfamily(k3_fscirc_2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1) & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k3_fscirc_2(C,A,B))) = 3 & k2_xfamily(k3_fscirc_2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k3_fscirc_2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(t18_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ( ( ~ v2_struct_0(E) & l2_fsm_1(E,A,B) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => ( G = k3_funct_2(k2_zfmisc_1(u1_struct_0(E),A),u1_struct_0(E),u1_fsm_1(A,E),k1_domain_1(u1_struct_0(E),A,F,C)) => k4_fsm_1(A,B,E,F,k8_finseq_1(A,k12_finseq_1(A,C),D)) = k8_finseq_1(B,k12_finseq_1(B,k3_funct_2(k2_zfmisc_1(u1_struct_0(E),A),B,u3_fsm_1(A,B,E),k1_domain_1(u1_struct_0(E),A,F,C))),k4_fsm_1(A,B,E,G,D)) ) ) ) ) ) ) ) ) )).
fof(t18_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_2(D,A,B) ) => ~ ( v1_fsm_2(D,A) & r2_fsm_2(A,C,D) & ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ~ ( ! [F] : ( m2_finseq_1(F,A) => ( ( r1_xxreal_0(E,k1_nat_1(k3_finseq_1(F),1)) & k1_funct_1(F,1) = C ) => r2_tarski(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),F),E),u1_fsm_2(A,D)) ) ) & ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( ( ~ v8_ordinal1(G) & m1_subset_1(G,k4_ordinal1) ) => ~ ( r1_xxreal_0(G,k1_nat_1(k3_finseq_1(F),1)) & k1_funct_1(F,1) = C & ~ r1_xxreal_0(E,G) & r2_tarski(k1_funct_1(k2_fsm_1(A,D,u2_fsm_1(A,D),F),G),u1_fsm_2(A,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_3(D,A,C) ) => ( r2_tarski(B,k6_fsm_3(A,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(D)) & ? [F] : ( m1_subset_1(F,u1_struct_0(D)) & r2_tarski(E,u1_fsm_3(A,C,D)) & r2_tarski(F,u2_fsm_3(A,C,D)) & r4_rewrite3(A,C,D,E,B,F) ) ) ) ) ) ) ) )).
fof(t18_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),k24_gfacirc1(A,B,C)) = k8_margrel1(k2_binarith(k2_binarith(G,k8_margrel1(H)),I)) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),A) = G & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),B) = H & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),C) = I & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),D) = J & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,2),E) = K ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ~ ( B != k1_xboole_0 & r2_hidden(C,k9_xtuple_0(A)) & k9_xtuple_0(k3_relat_1(k2_funcop_1(B,C),A)) = k1_xboole_0 ) ) )).
fof(t18_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ! [E] : ( m2_funct_2(E,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ( ( r2_tarski(A,C) & r2_tarski(B,C) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(D,F) = 1 ) & ( F != A => k1_funct_1(D,F) = k5_numbers ) ) ) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(E,F) = k5_numbers ) & ( F != A => k1_funct_1(E,F) = 1 ) ) ) ) => ( A = B | ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( k1_binop_1(k5_funcsdom(C),k1_funct_1(k7_funcsdom(C),k4_tarski(F,D)),k1_funct_1(k7_funcsdom(C),k4_tarski(G,E))) = k8_funcsdom(C) => ( F = k5_numbers & G = k5_numbers ) ) ) ) ) ) ) ) ) )).
fof(t18_funct_1,axiom,( ! [A] : ! [B] : ( r2_hidden(B,A) => k1_funct_1(k4_relat_1(A),B) = B ) )).
fof(t18_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( r2_relset_1(B,B,k1_partfun1(B,A,A,B,D,C),k6_partfun1(B)) => k2_relset_1(B,C) = B ) ) ) )).
fof(t18_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k1_funct_3(k3_relat_1(A,B)) = k3_relat_1(k1_funct_3(A),k1_funct_3(B)) ) ) )).
fof(t18_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k10_xtuple_0(B),k10_xtuple_0(k1_funct_4(A,B))) ) ) )).
fof(t18_funct_7,axiom,( ! [A] : ! [B] : ( r2_tarski(k9_finseq_1(B),k3_finseq_2(A)) <=> r2_hidden(B,A) ) )).
fof(t18_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_funct_8(A,k1_numbers,k1_numbers,B) => r2_funct_8(A,k1_numbers,k1_numbers,k37_valued_1(k1_numbers,k1_numbers,B)) ) ) ) )).
fof(t18_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) ) => ( ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k9_xtuple_0(C)) => ( r2_tarski(k2_xcmplx_0(D,A),k9_xtuple_0(C)) & r2_tarski(k6_xcmplx_0(D,A),k9_xtuple_0(C)) & r2_tarski(k2_xcmplx_0(D,B),k9_xtuple_0(C)) & r2_tarski(k6_xcmplx_0(D,B),k9_xtuple_0(C)) & k1_funct_1(C,k2_xcmplx_0(D,A)) = k1_funct_1(C,k6_xcmplx_0(D,B)) ) ) ) => ( k2_xcmplx_0(A,B) = k5_numbers | ( v1_funct_9(C,k2_xcmplx_0(A,B)) & v2_funct_9(C) ) ) ) ) ) ) )).
fof(t18_functor0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ! [E] : ( m1_subset_1(E,B) => ( k1_funct_1(D,E) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,k1_funct_1(D,E)) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_funct_2(A,B,G,k8_funcop_1(B,A,E)) => m1_functor0(a_6_0_functor0(A,B,C,D,E,F),A,B,G,C,D) ) ) ) ) ) ) ) ) ) )).
fof(t18_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & v1_altcat_2(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( v8_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v21_functor0(C,A,B) => ! [D] : ( ( v8_functor0(D,B,A) & l2_functor0(D,B,A) ) => ( g2_functor0(B,A,u1_functor0(B,A,D),u2_functor0(B,A,D)) = k15_functor0(A,B,C) => k13_functor0(B,A,B,D,C) = k12_functor0(B) ) ) ) ) ) ) )).
fof(t18_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => r8_pboole(u1_struct_0(A),k6_functor3(A,B,C,E,E,D,k4_functor2(B,C,E)),k4_functor2(A,C,k1_functor3(A,B,C,D,E))) ) ) ) ) ) )).
fof(t18_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k2_fuznum_1(A,k4_fuzzy_1(A)) = k1_xboole_0 ) )).
fof(t18_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_funct_2(A,k1_numbers,k2_fuzzy_1(A,B,k5_fuzzy_1(A)),k5_fuzzy_1(A)) & r2_funct_2(A,k1_numbers,k1_fuzzy_1(A,B,k5_fuzzy_1(A)),B) & r2_funct_2(A,k1_numbers,k2_fuzzy_1(A,B,k4_fuzzy_1(A)),B) & r2_funct_2(A,k1_numbers,k1_fuzzy_1(A,B,k4_fuzzy_1(A)),k4_fuzzy_1(A)) ) ) ) )).
fof(t18_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r1_fuzzy_1(k1_fuzzy_2(A,B,D),C) & r1_fuzzy_1(k1_fuzzy_2(A,D,B),C) ) => r1_fuzzy_1(k6_fuzzy_1(A,B,D),C) ) ) ) ) ) )).
fof(t18_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [G] : ( ( v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [H] : ! [I] : ( ( r2_tarski(H,A) & r2_tarski(I,C) & ! [J] : ( r2_tarski(J,B) => ( r1_xxreal_0(k1_funct_1(D,k4_tarski(H,J)),k1_funct_1(E,k4_tarski(H,J))) & r1_xxreal_0(k1_funct_1(F,k4_tarski(J,I)),k1_funct_1(G,k4_tarski(J,I))) ) ) ) => r1_xxreal_0(k1_funct_1(k3_fuzzy_4(A,B,C,D,F),k4_tarski(H,I)),k1_funct_1(k3_fuzzy_4(A,B,C,E,G),k4_tarski(H,I))) ) ) ) ) ) ) ) ) )).
fof(t18_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_fvaluat1(C,A) => ~ ( v3_fvaluat1(A) & B != k4_struct_0(A) & k3_funct_2(u1_struct_0(A),k6_numbers,C,B) = k1_xxreal_0 ) ) ) ) )).
fof(t18_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m2_finseq_2(F,u1_struct_0(C),k4_finseq_2(A,u1_struct_0(C))) => ! [G] : ( m2_finseq_2(G,u1_struct_0(C),k4_finseq_2(A,u1_struct_0(C))) => ( ( r2_tarski(B,k2_finseq_1(A)) & D = k1_funct_1(F,B) & E = k1_funct_1(G,B) ) => k1_funct_1(k4_fvsum_1(A,C,F,G),B) = k1_algstr_0(C,D,E) ) ) ) ) ) ) ) ) )).
fof(t18_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( ~ v1_xboole_0(k12_gate_1(A,B,C)) & ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) & ~ ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) ) & v1_xboole_0(k12_gate_1(A,B,C)) ) ) )).
fof(t18_gaussint,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ec_pf_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => k8_group_1(A,C,D) = k8_group_1(B,E,F) ) ) ) ) ) ) ) )).
fof(t18_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_gcd_1(A,B,C) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & v1_gcd_1(D,A) & k8_group_1(A,B,D) = C ) ) ) ) ) )).
fof(t18_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( r1_xxreal_0(k3_finseq_1(E),A) => k9_genealg1(D,E,F,A,B,C) = k8_genealg1(D,E,F,B,C) ) ) ) ) ) ) ) )).
fof(t18_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_analmetr(A,E,F) & r2_geomtrap(A,E,F,C,B,B,D) ) => ( C = B & B = D ) ) ) ) ) ) ) ) )).
fof(t18_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & ~ ( r2_tarski(A,k2_msafree2(k7_gfacirc1(A,B,C))) & r2_tarski(B,k2_msafree2(k7_gfacirc1(A,B,C))) & r2_tarski(C,k2_msafree2(k7_gfacirc1(A,B,C))) ) ) )).
fof(t18_gfacirc2,axiom,( ! [A] : ! [B] : ! [C] : ( C = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) => ( k5_gfacirc2(1,k9_finseq_1(A),k9_finseq_1(B)) = k2_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k25_gfacirc1(A,B,C)) & k6_gfacirc2(1,k9_finseq_1(A),k9_finseq_1(B)) = k3_circcomb(k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k25_gfacirc1(A,B,C),k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0),k26_gfacirc1(A,B,C)) & k7_gfacirc2(1,k9_finseq_1(A),k9_finseq_1(B)) = k21_gfacirc1(A,B,C) ) ) )).
fof(t18_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v3_glib_000(A) <=> ! [B] : ! [C] : ~ r1_glib_000(A,B,B,C) ) ) )).
fof(t18_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_001(A,C,D,B) => ( m1_subset_1(C,k6_glib_000(A)) & m1_subset_1(D,k6_glib_000(A)) ) ) ) ) )).
fof(t18_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => r2_tarski(B,k2_glib_002(A,B)) ) ) )).
fof(t18_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m4_glib_001(C,A,B) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_glib_003(A,B))) & k9_glib_003(A,C) = k1_glib_003(k1_numbers,k9_glib_003(A,B),D) ) ) ) ) )).
fof(t18_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => ( r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),D)))) & r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),D))) ) ) ) ) ) ) )).
fof(t18_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ! [D] : ( ( r1_glib_005(A,B,C,D) & ! [E] : ( ( v5_glib_001(E,A) & m3_glib_001(E,A) ) => ~ ( r1_glib_001(A,C,D,E) & r5_glib_005(A,B,E) ) ) ) => r2_glib_005(A,B,C,D) ) ) ) )).
fof(t18_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( k1_matrix_0(D) = k1_nat_1(B,1) & r2_tarski(C,k2_finseq_1(B)) & r2_tarski(A,k4_finseq_1(D)) ) => ( r1_xxreal_0(B,k5_numbers) | ( k3_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(1,u1_struct_0(k15_euclid(2)),D),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,k1_nat_1(C,1)) & r2_tarski(1,k2_finseq_1(k1_matrix_0(D))) ) ) ) ) ) ) ) )).
fof(t18_goboard2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( r2_tarski(A,k4_finseq_1(B)) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_xxreal_0(k1_funct_1(k2_goboard1(B),C),k1_funct_1(k2_goboard1(B),A)) ) ) ) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,A),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(B),k1_matrix_0(k2_goboard2(B))))) ) ) ) )).
fof(t18_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,B) => ( r1_xxreal_0(k3_finseq_1(C),A) | r1_xxreal_0(k1_matrix_0(C),B) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))),k3_goboard5(C,A,B)) ) ) ) ) ) )).
fof(t18_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k3_goboard5(A,k5_numbers,k5_numbers)) = a_1_4_goboard6(A) ) )).
fof(t18_goboard7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)) ) ) ) ) )).
fof(t18_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),2,k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),2,k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k5_algstr_0(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,2))),k7_xcmplx_0(1,2)),k19_euclid(1,k5_numbers)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),2,k1_nat_1(C,2))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) )).
fof(t18_gobrd11,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v1_goboard1(A) => k1_goboard5(A,k5_numbers) = a_1_9_gobrd11(A) ) ) )).
fof(t18_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( ( ~ v3_relat_1(F) & v1_matrix_0(F) & v1_goboard1(F) & v2_goboard1(F) & v3_goboard1(F) & v4_goboard1(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(E),k9_matrix_0(F)) & r2_hidden(k4_tarski(A,C),k2_matrix_0(E)) & r2_hidden(k4_tarski(B,D),k2_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,D) ) => r1_tarski(k3_goboard5(F,k7_nat_d(B,1),D),k3_goboard5(E,k7_nat_d(A,1),C)) ) ) ) ) ) ) ) )).
fof(t18_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_goboard9(A)) <=> ( ~ r2_tarski(B,k3_topreal1(2,A)) & ~ r2_tarski(B,k2_goboard9(A)) ) ) ) ) )).
fof(t18_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v4_card_3(A) => v4_card_3(k9_qc_lang1(A)) ) ) )).
fof(t18_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_gr_cy_1(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( v7_ordinal1(D) & C = k5_group_1(A,B,D) ) ) ) ) ) )).
fof(t18_gr_cy_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v8_struct_0(C) & v15_algstr_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ( ( k7_group_1(B) = A & k7_group_1(C) = A & v1_int_2(A) ) => r2_group_6(B,C) ) ) ) ) )).
fof(t18_gr_cy_3,axiom,( k1_gr_cy_3(2) = 3 )).
fof(t18_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( r1_graph_1(A,B,C) => ( r4_graph_1(B,A) & r4_graph_1(C,A) ) ) ) ) ) )).
fof(t18_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k1_funct_1(A,k3_finseq_1(A)) = k1_funct_1(B,1) => ( A = k1_xboole_0 | B = k1_xboole_0 | k10_xtuple_0(k3_graph_2(A,B)) = k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) ) ) )).
fof(t18_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( v5_graph_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_graph_1(D,A) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ~ ( ~ v1_xboole_0(D) & r1_graph_2(A,E,D) & k1_funct_1(E,1) = B & k1_funct_1(E,k3_finseq_1(E)) = C ) ) ) ) ) ) ) ) )).
fof(t18_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & v3_graph_2(B,A) & m2_graph_1(B,A) ) => ! [C] : ( ( v7_graph_1(C,A) & m2_graph_1(C,A) ) => ( C = B => v1_graph_4(C,A) ) ) ) ) )).
fof(t18_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ! [D] : ( ( v7_graph_1(D,A) & v1_graph_4(D,A) & m2_graph_1(D,A) ) => ( ( D = k8_finseq_1(u4_struct_0(A),B,C) & r1_xxreal_0(1,k3_finseq_1(B)) & r1_xxreal_0(1,k3_finseq_1(C)) ) => ( k1_funct_1(u1_graph_1(A),k1_funct_1(D,1)) = k1_funct_1(u2_graph_1(A),k1_funct_1(D,k3_finseq_1(D))) | ( ~ r2_tarski(k1_funct_1(u1_graph_1(A),k1_funct_1(D,1)),k2_graph_5(A,C)) & ~ r2_tarski(k1_funct_1(u2_graph_1(A),k1_funct_1(D,k3_finseq_1(D))),k2_graph_5(A,B)) ) ) ) ) ) ) ) )).
fof(t18_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k3_finseq_2(k1_numbers)) => ! [E] : ( v1_xreal_0(E) => ~ ( C != A & C != B & k1_funct_1(k2_graphsp(A,B,D,E),C) != k1_funct_1(D,C) ) ) ) ) ) ) )).
fof(t18_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( m1_grcat_1(D,B,C) => ! [E] : ( m1_grcat_1(E,A,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( D = g1_grcat_1(B,C,F) & E = g1_grcat_1(A,B,G) ) => k14_grcat_1(A,B,C,D,E) = g1_grcat_1(A,C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),G,F)) ) ) ) ) ) ) ) ) )).
fof(t18_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,k2_grnilp_1(A)) => m2_finseq_1(B,k1_group_3(A)) ) ) )).
fof(t18_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(E,k7_ideal_1(k12_polynom1(A,C),D)) => r10_polyred(A,B,C,E,D) ) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ~ ( r2_tarski(E,k2_groeb_1(A,B,C,k7_ideal_1(k12_polynom1(A,C),D))) & ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ~ ( r2_tarski(F,k2_groeb_1(A,B,C,D)) & r3_pre_poly(A,F,E) ) ) ) ) ) ) ) ) ) )).
fof(t18_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r2_tarski(E,D) & r2_tarski(F,D) ) => r2_tarski(k3_groeb_2(A,B,C,E,F),k7_ideal_1(k12_polynom1(A,C),D)) ) ) ) ) ) ) ) )).
fof(t18_groeb_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k2_groeb_3(A,B,C,k3_polynom1(k15_pre_poly(A),B,C)),C) & r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k2_groeb_3(A,B,C,k1_subset_1(k15_pre_poly(A))),k8_polynom1(A,B)) ) ) ) )).
fof(t18_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) <=> k2_group_1(A,k6_algstr_0(A,B,C)) = k6_algstr_0(A,k2_group_1(A,B),k2_group_1(A,C)) ) ) ) ) )).
fof(t18_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => r1_tarski(k1_group_11(A,B,C),k2_group_11(A,B,C)) ) ) ) )).
fof(t18_group_14,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => k1_card_1(k1_funct_1(B,C)) = k1_funct_1(A,C) ) ) ) => k1_card_1(k4_card_3(B)) = k2_wsierp_1(A) ) ) ) )).
fof(t18_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( k7_group_1(A) = k3_xcmplx_0(B,C) & r1_int_2(B,C) & ! [D] : ( ( v8_struct_0(D) & v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v8_struct_0(E) & v15_algstr_0(E) & m1_group_2(E,A) ) => ~ ( k7_group_1(D) = B & k7_group_1(E) = C & k3_xboole_0(u1_struct_0(D),u1_struct_0(E)) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(D,E))),u1_struct_0(A)) & v1_group_6(F,k2_group_7(k2_tarski(1,2),k10_finseq_1(D,E)),A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(D,E))),u1_struct_0(A)))) & v3_funct_2(F,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(D,E))),u1_struct_0(A)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r1_struct_0(D,G) & r1_struct_0(E,H) ) => k1_funct_1(F,k5_group_7(A,A,G,H)) = k8_group_1(A,G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_group_18,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( C = k1_newton(A,D) => ( r1_int_1(A,B) | k3_int_2(B,C) = 1 ) ) ) ) ) ) )).
fof(t18_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_group_7(A,B))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_19(A,B,D))) => ( C = k1_funct_7(k1_group_1(k2_group_7(A,B)),D,E) => ( E = k1_group_1(k2_group_19(A,B,D)) | k3_group_19(A,B,C) = k1_tarski(D) ) ) ) ) ) ) ) )).
fof(t18_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_2(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k6_algstr_0(A,B,C)) ) ) ) )).
fof(t18_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_group_3(A,B,C) = k1_group_1(A) => B = k1_group_1(A) ) ) ) ) )).
fof(t18_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( r1_tarski(k10_xtuple_0(C),k8_group_2(A,B)) => r1_struct_0(B,k3_group_4(A,C)) ) ) ) ) )).
fof(t18_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_group_5(A,B,C) = k6_algstr_0(A,k2_group_3(A,k2_group_1(A,C),B),C) & k2_group_5(A,B,C) = k6_algstr_0(A,k2_group_1(A,B),k2_group_3(A,B,C)) ) ) ) ) )).
fof(t18_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => r1_funct_2(k2_zfmisc_1(u1_struct_0(k5_group_6(A,B)),u1_struct_0(k5_group_6(A,B))),u1_struct_0(k5_group_6(A,B)),k2_zfmisc_1(k15_group_2(A,B),k15_group_2(A,B)),k15_group_2(A,B),u2_algstr_0(k5_group_6(A,B)),k4_group_6(A,B)) ) ) )).
fof(t18_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( v1_relat_1(k10_finseq_1(A,B)) & v4_relat_1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_funct_1(k10_finseq_1(A,B)) & v1_partfun1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_group_7(k10_finseq_1(A,B)) & v3_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) ) ) )).
fof(t18_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,A) ) => ( k11_group_2(A,E,k14_group_2(A,D,B)) = k11_group_2(A,E,k14_group_2(A,D,C)) | ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,k11_group_2(A,E,k14_group_2(A,D,B))) & r2_tarski(F,k11_group_2(A,E,k14_group_2(A,D,C))) ) ) ) ) ) ) ) ) )).
fof(t18_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ( ! [E] : ( m1_group_9(E,A,B) => ( E = k17_group_9(A,B,C,D) => u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) ) ) & ! [E] : ( ( v2_group_9(E,A) & m1_group_9(E,A,B) ) => ( u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) => E = k17_group_9(A,B,C,D) ) ) ) ) ) ) )).
fof(t18_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_group_3(C,B) & m1_group_2(C,B) ) => ( ( v2_group_10(C,A) & v2_group_10(k5_group_6(B,C),A) ) => v2_group_10(B,A) ) ) ) ) )).
fof(t18_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,D) & r1_gtarski1(A,C,B,D) ) => B = C ) ) ) ) ) )).
fof(t18_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v3_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k4_algstr_0(A,C)) = k1_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,C)) ) ) ) )).
fof(t18_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k6_hahnban1(A,B,k1_algstr_0(A,C,D),E),k3_hahnban1(A,B,k6_hahnban1(A,B,C,E),k6_hahnban1(A,B,D,E))) ) ) ) ) ) )).
fof(t18_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ( ? [C] : r1_hallmar1(A,B,C) => v1_hallmar1(B,A) ) ) ) )).
fof(t18_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( ( C = B & v2_compts_1(C,k3_pcomps_1(A)) ) => v6_tbsp_1(B,A) ) ) ) ) )).
fof(t18_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( ( v5_glib_001(C,A) & m3_glib_001(C,A) ) => ( ( k4_glib_001(A,B) = k3_glib_001(A,C) & r1_xboole_0(k14_glib_001(A,B),k14_glib_001(A,C)) & r1_tarski(k9_subset_1(k6_glib_000(A),k13_glib_001(A,B),k13_glib_001(A,C)),k2_tarski(k3_glib_001(A,B),k4_glib_001(A,B))) ) => ( v1_glib_001(B,A) | v1_glib_001(C,A) | ( r2_tarski(k3_glib_001(A,B),k13_glib_001(A,C)) & k3_glib_001(A,B) != k4_glib_001(A,C) ) | v5_glib_001(k7_glib_001(A,B,C),A) ) ) ) ) ) )).
fof(t18_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),k1_hermitan(A,k3_hahnban1(k1_complfld,A,B,C)),k3_hahnban1(k1_complfld,A,k1_hermitan(A,B),k1_hermitan(A,C))) ) ) ) )).
fof(t18_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_finsub_1(k7_normform(A))) => ! [C] : ( m1_subset_1(C,k5_finsub_1(k7_normform(A))) => ! [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(D,k7_heyting1(A,B,C)) & ! [E] : ( m2_funct_2(E,k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k9_funct_2(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)))) => ~ ( r1_tarski(k8_setwiseo(k7_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),E,B),C) & D = k6_normform(k7_normform(A),A,B,k6_funcop_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A),k5_heyting1(A),E,k6_funct_3(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)))) ) ) ) ) ) ) )).
fof(t18_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => k2_lattice2(k4_partfun1(A,B),k5_substlat(A,B),C,k8_heyting2(A,B)) = k10_setwiseo(k4_partfun1(A,B),k4_partfun1(A,B),C,k11_setwiseo(k4_partfun1(A,B))) ) ) )).
fof(t18_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ r1_tarski(k2_heyting3(A,B),k3_heyting3(C,B)) ) ) ) )).
fof(t18_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_taylor_1(D,A,C) & r1_taylor_1(E,A,C) & r1_xxreal_0(B,A) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),C),B),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(D,C),B),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(E,C),B))) ) ) ) ) ) ) )).
fof(t18_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( C != k4_struct_0(A) => k1_algseq_1(A,k5_hilbasis(A,B,C)) = k1_nat_1(B,1) ) & ( C = k4_struct_0(A) => k1_algseq_1(A,k5_hilbasis(A,B,C)) = k5_numbers ) & r1_xxreal_0(k1_algseq_1(A,k5_hilbasis(A,B,C)),k1_nat_1(B,1)) ) ) ) ) )).
fof(t18_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B,A),k3_hilbert1(A,A)),k6_hilbert1) ) ) )).
fof(t18_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( k7_finseq_1(A,B) = k7_finseq_1(C,D) => ( A = C & B = D ) ) ) ) ) ) )).
fof(t18_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k15_pralg_1(k1_xboole_0,A) = k1_xboole_0 ) )).
fof(t18_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => k3_tarski(k10_huffman1(k4_huffman1(A,B))) = a_2_1_huffman1(A,B) ) ) )).
fof(t18_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k4_polynom5(A,k1_normsp_1(A,B,C),D),k1_normsp_1(A,k4_polynom5(A,B,D),k4_polynom5(A,C,D))) ) ) ) ) )).
fof(t18_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ~ v1_abian(k2_hurwitz(A,B)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_hurwitz2(A,k1_polynom4(A,B)),k9_polynom3(A)) ) ) ) )).
fof(t18_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_idea_1(A,B) & r1_idea_1(A,C) & k7_idea_1(A,B) = k7_idea_1(A,C) ) => B = C ) ) ) ) )).
fof(t18_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v1_algstr_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D != k5_numbers => r2_tarski(k2_binom(A,C,D),B) ) ) ) ) ) )).
fof(t18_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,C,D,K) & r1_collsp(A,F,G,K) & r1_collsp(A,D,E,I) & r1_collsp(A,G,H,I) & r1_collsp(A,C,E,J) & r1_collsp(A,F,H,J) & r1_collsp(A,B,C,F) & r1_collsp(A,B,D,G) & r1_collsp(A,B,E,H) ) => ( B = F | C = F | B = G | D = G | B = H | E = H | r1_collsp(A,B,C,D) | r1_collsp(A,B,C,E) | r1_collsp(A,B,D,E) | r1_collsp(A,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k3_incproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k3_incproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k3_incproj(A))) => ! [G] : ( m1_subset_1(G,u1_incsp_1(k3_incproj(A))) => ! [H] : ( m1_subset_1(H,u1_incsp_1(k3_incproj(A))) => ! [I] : ( m1_subset_1(I,u1_incsp_1(k3_incproj(A))) => ! [J] : ( m1_subset_1(J,u1_incsp_1(k3_incproj(A))) => ! [K] : ( m1_subset_1(K,u1_incsp_1(k3_incproj(A))) => ! [L] : ( m1_subset_1(L,u2_incsp_1(k3_incproj(A))) => ! [M] : ( m1_subset_1(M,u2_incsp_1(k3_incproj(A))) => ! [N] : ( m1_subset_1(N,u2_incsp_1(k3_incproj(A))) => ! [O] : ( m1_subset_1(O,u2_incsp_1(k3_incproj(A))) => ! [P] : ( m1_subset_1(P,u2_incsp_1(k3_incproj(A))) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(k3_incproj(A))) => ! [R] : ( m1_subset_1(R,u2_incsp_1(k3_incproj(A))) => ! [S] : ( m1_subset_1(S,u2_incsp_1(k3_incproj(A))) => ! [T] : ( m1_subset_1(T,u2_incsp_1(k3_incproj(A))) => ~ ( r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),B,C,D),L) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),B,F,E),M) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),B,H,G),N) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),H,F,K),O) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),H,I,D),P) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),F,J,D),Q) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),K,E,G),R) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),C,I,G),S) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),C,J,E),T) & r1_zfmisc_1(L,M,N) & B != D & B != F & B != H & B != C & B != E & B != G & D != C & F != E & H != G & ! [U] : ( m1_subset_1(U,u2_incsp_1(k3_incproj(A))) => ~ r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),I,J,K),U) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ~ ( B != C & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),E) & ~ r1_incsp_1(A,D,E) & v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A) ) ) ) ) ) ) )).
fof(t18_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m4_index_1(D,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),k13_index_1(A,B,C)) => r1_funct_2(u4_struct_0(A),u4_struct_0(B),u4_struct_0(A),u4_struct_0(D),C,k9_index_1(A,k13_index_1(A,B,C),D)) ) ) ) ) )).
fof(t18_instalg1,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( m1_instalg1(B,A) => ! [C] : ( l1_msualg_1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r3_pua2mss1(A,C,D,E) => r3_pua2mss1(B,C,k5_relat_1(D,u1_struct_0(B)),k5_relat_1(E,u4_struct_0(B))) ) ) ) ) ) ) )).
fof(t18_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ( ( r2_int_1(A,B,E) & r2_int_1(C,D,E) ) => r2_int_1(k3_xcmplx_0(A,C),k3_xcmplx_0(B,D),E) ) ) ) ) ) ) )).
fof(t18_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => r1_int_1(A,k2_int_2(A,B)) ) ) )).
fof(t18_int_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ~ ( C != k5_numbers & r1_int_1(k3_int_2(A,C),B) & ! [D] : ( v1_int_1(D) => k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A,D),B),C) != k5_numbers ) ) ) ) ) )).
fof(t18_int_5,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v7_ordinal1(B) => ( k3_int_2(B,A) = 1 => ( r1_xxreal_0(A,2) | r1_int_5(B,A) | k4_nat_d(k1_newton(B,k3_nat_d(k7_nat_d(A,1),2)),A) = k6_xcmplx_0(A,1) ) ) ) ) )).
fof(t18_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k3_int_2(A,k3_int_2(B,C)) = k3_int_2(k3_int_2(A,B),C) ) ) ) )).
fof(t18_int_7,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => k4_card_1(k1_int_7(A)) = k6_xcmplx_0(A,1) ) ) )).
fof(t18_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_int_2(A,C) & r1_int_2(B,C) & k3_pepin(k3_xcmplx_0(A,B),C) = k2_nat_1(k3_pepin(A,C),k3_pepin(B,C)) ) => ( r1_xxreal_0(C,1) | r1_int_2(k3_pepin(A,C),k3_pepin(B,C)) ) ) ) ) ) )).
fof(t18_integr11,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( A = k1_rcomp_1(k5_numbers,k3_xcmplx_0(2,k28_sin_cos)) => k2_integra5(A,k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos)) = k28_sin_cos ) ) )).
fof(t18_integr12,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v3_rcomp_1(F) & m1_subset_1(F,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,F) & r2_relset_1(k1_numbers,k1_numbers,C,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k2_sin_cos9),k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k26_valued_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k41_valued_1(k1_numbers,k1_numbers,E)),A)))) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,F) => ( k1_funct_1(D,G) = 1 & k1_funct_1(E,G) = k7_xcmplx_0(G,A) & ~ r1_xxreal_0(k1_funct_1(E,G),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(E,G)) ) ) ) & F = k1_relset_1(k1_numbers,C) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,B)) ) => k2_integra5(B,C) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k2_sin_cos9)),k2_seq_4(B)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k2_sin_cos9)),k3_seq_4(B))) ) ) ) ) ) ) ) )).
fof(t18_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k27_sin_cos,k1_partfun2(k1_numbers,C)),k3_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1,k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)))) & r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos))) & r1_tarski(C,k1_relset_1(k1_numbers,k27_sin_cos)) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k27_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t18_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(B,D) = k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,D),k1_funct_1(k18_sin_cos,k1_funct_1(k22_sin_cos,D))),k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k22_sin_cos,D)))) ) ) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9)),k3_seq_4(A))) ) ) ) ) )).
fof(t18_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,D)) & r1_integr15(A,C,D) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),D,C),A) ) => ( r1_integr15(A,C,k9_integr15(A,B,k1_numbers,D)) & k11_integr15(A,C,k9_integr15(A,B,k1_numbers,D)) = k9_euclid(A,k11_integr15(A,C,D),B) ) ) ) ) ) ) )).
fof(t18_integr16,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( r2_relset_1(k1_numbers,k1_numbers,k5_comseq_3(k1_numbers,k25_valued_1(k1_numbers,k2_numbers,B,A)),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k5_comseq_3(k1_numbers,B),k3_complex1(A)),k26_valued_1(k1_numbers,k1_numbers,k6_comseq_3(k1_numbers,B),k4_complex1(A)))) & r2_relset_1(k1_numbers,k1_numbers,k6_comseq_3(k1_numbers,k25_valued_1(k1_numbers,k2_numbers,B,A)),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k6_comseq_3(k1_numbers,B),k3_complex1(A)),k26_valued_1(k1_numbers,k1_numbers,k5_comseq_3(k1_numbers,B),k4_complex1(A)))) ) ) ) )).
fof(t18_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( C = k1_rcomp_1(E,D) & r1_tarski(C,k1_relset_1(k1_numbers,B)) ) => k4_algstr_0(A,k5_integr18(A,C,B)) = k6_integr18(A,B,D,E) ) ) ) ) ) ) )).
fof(t18_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_tarski(B,k1_relset_1(k1_numbers,C)) => r2_relset_1(k1_numbers,k1_numbers,k1_nfcont_4(A,k1_numbers,k2_partfun1(k1_numbers,k1_euclid(A),C,B)),k2_partfun1(k1_numbers,k1_numbers,k1_nfcont_4(A,k1_numbers,C),B)) ) ) ) ) )).
fof(t18_integr20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_normsp_1(D,A) & ! [E] : ( v7_ordinal1(E) => ( k1_normsp_0(A,D,k3_xcmplx_0(2,E)) = k1_normsp_0(A,B,E) & k1_normsp_0(A,D,k1_nat_1(k3_xcmplx_0(2,E),1)) = k1_normsp_0(A,C,E) ) ) ) => ( v3_normsp_1(B,A) & k5_normsp_1(A,B) = k5_normsp_1(A,D) & v3_normsp_1(C,A) & k5_normsp_1(A,C) = k5_normsp_1(A,D) ) ) ) ) ) ) )).
fof(t18_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) & r1_integr18(E,k3_integra5(A,B),F) & v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(E),F,k3_integra5(A,B)),E,k1_numbers) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) ) => ( r1_integr18(E,k3_integra5(C,D),k5_vfunct_1(k1_numbers,E,F)) & v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(E),k5_vfunct_1(k1_numbers,E,F),k3_integra5(C,D)),E,k1_numbers) ) ) ) ) ) ) ) ) )).
fof(t18_integra1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ~ r1_xboole_0(C,k1_relset_1(B,k7_rfunct_1(B,B))) => k1_rvsum_1(k2_partfun1(B,k1_numbers,k7_rfunct_1(B,B),C)) = k1_seq_4(1) ) ) ) )).
fof(t18_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => k1_rvsum_1(k26_valued_1(B,k1_numbers,k2_partfun1(B,k1_numbers,D,C),A)) = k1_integra2(k1_rvsum_1(k2_partfun1(B,k1_numbers,D,C)),A) ) ) ) ) )).
fof(t18_integra3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(B,k1_numbers,D,B)) & r2_tarski(A,k4_finseq_1(C)) ) => r1_xxreal_0(k3_seq_4(k1_rvsum_1(k2_partfun1(B,k1_numbers,D,k2_integra1(B,C,A)))),k2_seq_4(k1_rvsum_1(D))) ) ) ) ) ) )).
fof(t18_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_seq_2(k2_partfun1(A,k1_numbers,C,A)) => v4_xxreal_2(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,B))) ) ) ) )).
fof(t18_integra5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v2_measure5(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( r1_tarski(B,E) & r2_fdiff_1(A,E) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_1(A,E),B)) & k3_seq_4(B) = k3_seq_4(C) & k2_seq_4(C) = k3_seq_4(D) & k2_seq_4(D) = k2_seq_4(B) ) => ( r1_tarski(C,B) & r1_tarski(D,B) & k2_integra5(B,k2_fdiff_1(A,E)) = k2_xcmplx_0(k2_integra5(C,k2_fdiff_1(A,E)),k2_integra5(D,k2_fdiff_1(A,E))) ) ) ) ) ) ) )).
fof(t18_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) ) => ( r1_integra5(k3_integra5(C,D),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(C,D))) & r1_tarski(k3_integra5(C,D),k9_xtuple_0(E)) ) ) ) ) ) ) ) )).
fof(t18_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),C) & r1_integra7(C,E,D) & r1_integra5(k3_integra5(A,B),D) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(A,B))) ) => k1_funct_1(E,B) = k2_xcmplx_0(k4_integra5(A,B,D),k1_funct_1(E,A)) ) ) ) ) ) )).
fof(t18_integra8,axiom,( k1_funct_1(k3_sin_cos2,k5_numbers) = 1 )).
fof(t18_integra9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_taylor_1(k2_xcmplx_0(A,1)),k7_xcmplx_0(1,k2_xcmplx_0(A,1))),k1_numbers) & ! [B] : ( v1_xreal_0(B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_taylor_1(k2_xcmplx_0(A,1)),k7_xcmplx_0(1,k2_xcmplx_0(A,1))),k1_numbers),B) = k3_prepower(B,A) ) ) ) )).
fof(t18_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => k3_interva1(A,B,C) = k2_interva1(A,k9_subset_1(A,k5_interva1(A,B),k5_interva1(A,C)),k9_subset_1(A,k6_interva1(A,B),k6_interva1(A,C))) ) ) ) )).
fof(t18_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ( r2_tarski(B,k8_intpro_1) => r2_tarski(k3_intpro_1(A,B),k8_intpro_1) ) ) ) )).
fof(t18_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(C) = A & ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(A,D) => k1_funct_1(B,D) = k1_funct_1(C,k1_nat_1(D,1)) ) ) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(A,D) => k1_funct_1(B,D) = k5_numbers ) ) ) => ( v1_series_1(B) & k4_series_1(B) = k18_rvsum_1(C) ) ) ) ) ) )).
fof(t18_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => r1_isocat_1(k6_cat_2(k6_cat_2(A,B),C),k6_cat_2(A,k6_cat_2(B,C))) ) ) ) )).
fof(t18_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_funct_2(u1_struct_0(B),u4_struct_0(C),k4_nattra_1(B,C,k10_cat_2(A,B,C,D,E)),k4_isocat_2(A,B,C,D,k4_cat_1(A,E))) ) ) ) ) ) )).
fof(t18_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v6_tops_1(C,A) & r1_tarski(C,B) & r1_tarski(B,k2_pre_topc(A,C)) ) ) ) ) )).
fof(t18_jgraph_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v1_graph_4(k4_jgraph_1(A,B),k1_jgraph_1(A)) => ( k1_funct_1(B,1) = k1_funct_1(B,k3_finseq_1(B)) | ( v2_funct_1(B) & k3_finseq_1(B) != 1 ) ) ) ) ) )).
fof(t18_jgraph_2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( A = a_0_1_jgraph_2 & k3_subset_1(u1_struct_0(k15_euclid(2)),B) = k6_domain_1(u1_struct_0(k15_euclid(2)),k4_struct_0(k15_euclid(2))) ) => ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)))) & ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) ) )).
fof(t18_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ( ( C = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,B) & A = k8_struct_0(k15_euclid(2)) & B = a_0_1_jgraph_3 ) => ( v5_pre_topc(C,k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B),k1_pre_topc(k15_euclid(2),A)) & v4_pre_topc(B,k1_pre_topc(k15_euclid(2),A)) ) ) ) ) ) )).
fof(t18_jgraph_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,B) & ~ ( ( ( r1_xxreal_0(B,k7_xcmplx_0(k18_euclid(A),k12_euclid(A))) & r1_xxreal_0(k17_euclid(A),k5_numbers) ) => ( A = k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k3_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B))))))),k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k6_xcmplx_0(1,B)))) ) ) & ( ( r1_xxreal_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B) & r1_xxreal_0(k17_euclid(A),k5_numbers) ) => ( A = k4_struct_0(k15_euclid(2)) | k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k3_jgraph_4(B),A) = k19_euclid(k3_xcmplx_0(k12_euclid(A),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B))))))),k3_xcmplx_0(k12_euclid(A),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(A),k12_euclid(A)),B),k2_xcmplx_0(1,B)))) ) ) ) ) ) ) )).
fof(t18_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(k18_euclid(B),k5_numbers) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k5_jgraph_4(A),B) & r1_xxreal_0(k18_euclid(C),k5_numbers) ) ) ) ) )).
fof(t18_jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v1_xboole_0(E) & v2_compts_1(E,k15_euclid(2)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( E = a_0_0_jgraph_6 & r1_jordan17(E,A,B,C,D) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ~ ( v5_pre_topc(G,k5_topmetr,k15_euclid(2)) & v2_funct_1(G) & v5_pre_topc(H,k5_topmetr,k15_euclid(2)) & v2_funct_1(H) & F = a_0_1_jgraph_6 & k1_funct_1(G,k5_numbers) = A & k1_funct_1(G,1) = C & k1_funct_1(H,k5_numbers) = B & k1_funct_1(H,1) = D & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),G),F) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),H),F) & r1_xboole_0(k2_relset_1(u1_struct_0(k15_euclid(2)),G),k2_relset_1(u1_struct_0(k15_euclid(2)),H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k18_euclid(C) = H & k18_euclid(D) = H & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(B),H) & r1_xxreal_0(E,k17_euclid(C)) & r1_xxreal_0(k17_euclid(D),F) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k17_euclid(D),k17_euclid(C)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_jordan,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(C))) => ( r1_xxreal_0(A,B) => r1_tarski(k1_topreal9(C,D,A),k1_topreal9(C,D,B)) ) ) ) ) ) )).
fof(t18_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( ( v2_connsp_1(C,k15_euclid(2)) & v2_compts_1(C,k15_euclid(2)) & ~ v1_sppol_1(C) & ~ v2_sppol_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_jordan2c(2,C,B) => r1_xboole_0(B,k3_topreal1(2,k1_jordan9(C,A))) ) ) ) ) )).
fof(t18_jordan12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(A,k3_finseq_1(B)) => v1_convex1(k1_goboard5(B,A),k15_euclid(2)) ) ) ) )).
fof(t18_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_xboole_0(k2_jordan2c(2,A),k3_goboard9(k1_jordan13(A,B))) ) ) ) )).
fof(t18_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,C),k3_topreal1(2,k1_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),E,C)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)) ) ) ) ) ) ) ) ) )).
fof(t18_jordan16,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_jordan5c(A,B,C,D,E) & v1_xboole_0(k5_jordan6(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t18_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( D != E & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != D & F != E & r1_jordan17(A,C,D,F,E) ) ) ) ) ) ) ) ) )).
fof(t18_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(A,k1_jordan2c(2,B)) => ( ~ r1_xxreal_0(k18_euclid(A),k18_euclid(k2_jordan18(A,B))) & ~ r1_xxreal_0(k18_euclid(k1_jordan18(A,B)),k18_euclid(A)) ) ) ) ) )).
fof(t18_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & ~ r1_xxreal_0(A,k5_numbers) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k9_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k8_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k8_jordan6(B)) ) ) ) ) ) ) )).
fof(t18_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(E)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(E)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,B) & r1_xxreal_0(B,k3_finseq_1(E)) ) => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,B,D))) ) ) ) ) ) ) )).
fof(t18_jordan1b,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ r1_tarski(k3_goboard5(k1_jordan8(A,k5_numbers),2,2),k1_jordan2c(2,A)) ) )).
fof(t18_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(G,k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,2))) & ~ r1_xxreal_0(G,k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),2,1))) & r2_tarski(E,k3_goboard5(k1_jordan8(A,D),B,C)) & r2_tarski(F,k3_goboard5(k1_jordan8(A,D),B,C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k2_xcmplx_0(B,1),k3_finseq_1(k1_jordan8(A,D))) & r1_xxreal_0(1,C) & r1_xxreal_0(k2_xcmplx_0(C,1),k1_matrix_0(k1_jordan8(A,D))) & r1_xxreal_0(k3_xcmplx_0(2,G),k1_topreal6(2,E,F)) ) ) ) ) ) ) ) ) )).
fof(t18_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k18_pscomp_1(B),k4_goboard5(k1_jordan9(B,A),C)) ) ) ) )).
fof(t18_jordan1e,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_sprect_2(k1_jordan9(B,A),k2_jordan1e(B,A)) ) ) )).
fof(t18_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k2_jordan1e(B,A) = k1_finseq_5(u1_struct_0(k15_euclid(2)),k1_finseq_6(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))),k18_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) ) ) )).
fof(t18_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v2_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k2_jordan1h(u1_struct_0(k15_euclid(2)),A))),k1_matrix_0(A)) ) )).
fof(t18_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(C,k1_nat_1(D,1)),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,k1_nat_1(D,1)) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,E)) = k8_pscomp_1(k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t18_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k22_pscomp_1(B),A) ) => k22_pscomp_1(A) = k22_pscomp_1(B) ) ) ) )).
fof(t18_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => k2_jordan2c(A,k2_struct_0(k15_euclid(A))) = k1_struct_0(k15_euclid(A)) ) )).
fof(t18_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),C,D,A) & r2_tarski(E,A) & B = k7_subset_1(u1_struct_0(k15_euclid(2)),A,k1_tarski(E)) ) => ( E = C | E = D | ( ~ v2_connsp_1(B,k1_pre_topc(k15_euclid(2),A)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B))))) ) => ~ ( v5_pre_topc(F,k5_topmetr,k1_pre_topc(k1_pre_topc(k15_euclid(2),A),B)) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D ) ) ) ) ) ) ) ) ) ) )).
fof(t18_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k8_pscomp_1(A) = k8_pscomp_1(k8_jordan6(A)) ) )).
fof(t18_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k18_euclid(k2_jordan21(A)),k18_euclid(k2_jordan21(k3_topreal1(2,k1_jordan9(A,B))))) ) ) )).
fof(t18_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( ( v3_jordan23(A) & v2_topreal1(A) & v3_topreal1(A) & r1_xxreal_0(C,k3_finseq_1(A)) & B = k1_funct_1(A,C) ) => ( r1_xxreal_0(C,1) | k1_nat_1(k1_jordan3(A,B),1) = C ) ) ) ) ) )).
fof(t18_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r2_tarski(C,k2_finseq_1(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,D) = k7_partfun1(k1_numbers,D,C) ) ) => v5_pre_topc(B,k15_euclid(A),k3_topmetr) ) ) ) ) )).
fof(t18_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k3_topreal1(2,A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) & B = k8_finseq_1(u1_struct_0(k15_euclid(2)),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,1,k1_jordan3(A,C)),k12_finseq_1(u1_struct_0(k15_euclid(2)),C)) ) => r1_tarski(k2_topreal1(2,B,D),k2_topreal1(2,A,D)) ) ) ) ) ) )).
fof(t18_jordan4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k3_finseq_6(A,B,C,D) = k4_finseq_5(A,k3_finseq_6(A,B,D,C)) ) ) ) ) )).
fof(t18_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B)))) ) => ! [G] : ( ( ~ v1_xboole_0(G) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B)))) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [I] : ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( ( H = F & I = G & v5_pre_topc(E,k4_topmetr(A,B),k4_topmetr(C,D)) & v2_funct_1(E) & v2_compts_1(H,k3_topmetr) & k1_funct_1(E,A) = C & k1_funct_1(E,B) = D & k7_relset_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D)),E,F) = G ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(D,C) | k1_funct_1(E,k2_seq_4(k1_weierstr(H))) = k2_seq_4(k1_weierstr(I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & v4_topreal1(A) ) => ( B = k1_funct_1(A,k3_finseq_1(A)) | k1_jordan3(k2_jordan3(A,B),B) = 1 ) ) ) ) )).
fof(t18_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),C,D,A) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),A,B),k15_euclid(2)) ) => ( r1_xboole_0(A,B) | ( k1_jordan5c(A,B,C,D) = k2_jordan5c(A,B,D,C) & k2_jordan5c(A,B,C,D) = k1_jordan5c(A,B,D,C) ) ) ) ) ) ) ) )).
fof(t18_jordan5d,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_5_jordan5d(A) => B = k7_relat_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k3_topreal1(2,A)),u1_struct_0(k1_pre_topc(k15_euclid(2),k3_topreal1(2,A)))) ) ) ) )).
fof(t18_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r1_jordan5c(A,B,C,D,E) ) => r1_jordan5c(A,C,B,E,D) ) ) ) ) ) ) )).
fof(t18_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & v5_pre_topc(F,k5_topmetr,k15_euclid(2)) & v2_funct_1(F) & k2_relset_1(u1_struct_0(k15_euclid(2)),F) = A & k1_funct_1(F,k5_numbers) = B & k1_funct_1(F,1) = C & k1_funct_1(F,G) = D & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) & k1_funct_1(F,H) = E & r1_xxreal_0(k5_numbers,H) & r1_xxreal_0(H,1) & r1_xxreal_0(G,H) ) => r1_jordan5c(A,B,C,D,E) ) ) ) ) ) ) ) ) ) )).
fof(t18_jordan8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,k3_finseq_1(k1_jordan8(A,C))) => r1_xboole_0(k3_goboard5(k1_jordan8(A,C),k5_numbers,B),A) ) ) ) ) )).
fof(t18_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => k3_goboard5(C,A,B) = a_3_0_jordan9(A,B,C) ) ) ) ) )).
fof(t18_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => A = k1_jordan7(A,k18_pscomp_1(A),k18_pscomp_1(A)) ) )).
fof(t18_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v5_ordinal1(E) ) => ( ( v4_ordinal1(D) & k9_xtuple_0(E) = D & ! [F] : ( v3_ordinal1(F) => ( r2_tarski(F,D) => k1_funct_1(E,F) = k4_knaster(A,B,C,F) ) ) ) => ( D = k5_numbers | k4_knaster(A,B,C,D) = k16_lattice3(A,k10_xtuple_0(E)) ) ) ) ) ) ) ) )).
fof(t18_kurato_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(A,k1_nat_1(B,1)),k1_funct_1(A,B)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_tarski(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(t18_kurato_1,axiom,( k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k6_kurato_1))) = k4_subset_1(k1_numbers,k2_rcomp_1(4,5),k2_rcomp_1(5,k1_xxreal_0)) )).
fof(t18_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),D,E) = k4_subset_1(u1_struct_0(A),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E),k8_nat_1(k9_setfam_1(u1_struct_0(A)),C,E)) ) => r1_tarski(k4_subset_1(u1_struct_0(A),k1_kurato_2(A,B),k1_kurato_2(A,C)),k1_kurato_2(A,D)) ) ) ) ) ) )).
fof(t18_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & ? [E] : ( v7_ordinal1(E) & A = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(B),k1_pepin(C)),k1_pepin(D)),k1_pepin(E)) ) ) ) ) ) )).
fof(t18_lang1,axiom,( ! [A] : ( v1_relat_1(A) => r1_tarski(A,k18_finseq_1(A)) ) )).
fof(t18_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,B) & m2_finseq_1(E,k3_finseq_2(D)) ) => k3_laplace(A,C,B,D,E,k8_matrix_0(D,E,A)) = E ) ) ) ) ) )).
fof(t18_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => u1_struct_0(k10_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ) ) ) )).
fof(t18_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B))) => ( ( v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A))) & r1_orders_2(k1_latsum_1(A,B),C,D) & r2_tarski(C,u1_struct_0(B)) ) => r2_tarski(D,u1_struct_0(B)) ) ) ) ) ) )).
fof(t18_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_lattices(A,B,B) = B ) ) )).
fof(t18_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_setwiseo(u2_lattices(A),u1_struct_0(A)) => k5_lattices(A) = k3_binop_1(u1_struct_0(A),u2_lattices(A)) ) ) )).
fof(t18_lattice3,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_lattice3(A,B,k13_lattice3(A,B,C)) = B ) ) ) )).
fof(t18_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v14_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_lattice4(C,B,A) => ( v2_funct_2(C,u1_struct_0(A)) => ( v14_lattices(A) & r2_lattice4(B,A,C) ) ) ) ) ) )).
fof(t18_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( ( v1_lattice5(C,A,B) & v3_lattice5(C,A,B) ) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => ( r3_orders_2(B,k3_lattice5(A,B,C,k4_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k5_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D)),k13_lattice3(B,k6_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D),k7_mcart_1(A,A,u1_struct_0(B),u1_struct_0(B),D))) => v3_lattice5(k6_lattice5(A,B,C,D),k5_lattice5(A),B) ) ) ) ) ) ) )).
fof(t18_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_lattice6(B,A) => v3_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) ) ) ) )).
fof(t18_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => k5_lattice8(A,B,C,D,k5_numbers) = C ) ) ) ) )).
fof(t18_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_latticea(B,A) => v2_filter_2(B,A) ) ) ) )).
fof(t18_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_lattices(A,k6_lattices(A),B) = k6_lattices(A) ) ) )).
fof(t18_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => v2_funct_1(k5_lexbfs(A,B,C)) ) ) ) )).
fof(t18_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_fuzzy_1(A,B,C) = k13_lattice3(k4_lfuzzy_0(A),k6_lfuzzy_0(A,B),k6_lfuzzy_0(A,C)) ) ) ) )).
fof(t18_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => v2_lfuzzy_1(k2_lfuzzy_1(k2_zfmisc_1(A,A),B,k1_fuzzy_4(A,A,B)),A) ) ) )).
fof(t18_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_limfunc1(A) & v2_comseq_2(B) ) => v1_limfunc1(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t18_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc3(C,B) => ( r1_xxreal_0(A,k5_numbers) | r2_limfunc3(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r2_limfunc3(C,B) => ( r1_xxreal_0(k5_numbers,A) | r3_limfunc3(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r3_limfunc3(C,B) => ( r1_xxreal_0(A,k5_numbers) | r3_limfunc3(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r3_limfunc3(C,B) => ( r1_xxreal_0(k5_numbers,A) | r2_limfunc3(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) ) ) ) ) )).
fof(t18_limfunc4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r6_limfunc2(B,A) & v8_limfunc1(C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(D,E) & ~ r1_xxreal_0(E,A) & r2_hidden(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C))) ) ) ) ) ) => r6_limfunc2(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t18_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & l1_vectsp_1(D,A) ) => ( ( r1_lmod_6(A,B,C) & r1_lmod_6(A,C,D) ) => r1_lmod_6(A,B,D) ) ) ) ) ) )).
fof(t18_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => m1_subset_1(k14_lmod_7(A,B,D,C),u1_struct_0(k17_lmod_7(A,B,D))) ) ) ) ) )).
fof(t18_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => k4_struct_0(k8_lopban_1(A,B)) = k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)) ) ) )).
fof(t18_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k1_funct_1(k15_lopban_1(A,A),k6_partfun1(u1_struct_0(A))) = 1 ) )).
fof(t18_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_lopban_3(B,A) & v1_lopban_3(C,A) ) => ( v1_lopban_3(k2_normsp_1(A,B,C),A) & k1_lopban_3(A,k2_normsp_1(A,B,C)) = k5_algstr_0(A,k1_lopban_3(A,B),k1_lopban_3(A,C)) ) ) ) ) ) )).
fof(t18_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k6_lopban_4(D,A,C,B),k4_normsp_1(A,k5_lopban_4(D,A,C,B),k7_xcmplx_0(1,k2_newton(D)))) ) ) ) ) )).
fof(t18_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(C,k1_funct_1(k8_lopclset(A),B)) <=> ( v1_filter_0(C,A) & r2_tarski(B,C) ) ) ) ) ) )).
fof(t18_lpspacc1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) ) => ( r2_tarski(E,k13_lpspacc1(B,C,D)) => r2_tarski(k25_valued_1(B,k2_numbers,E,A),k13_lpspacc1(B,C,D)) ) ) ) ) ) ) )).
fof(t18_lpspace1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_rfunct_3(D,C,k1_numbers,k3_rfunct_3(C,k1_numbers)) => k1_binop_1(k4_lpspace1(C),A,k1_binop_1(k4_lpspace1(C),B,D)) = k1_binop_1(k4_lpspace1(C),k3_xcmplx_0(A,B),D) ) ) ) ) )).
fof(t18_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => r2_relset_1(A,k1_numbers,k26_valued_1(A,k1_numbers,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,B)),k2_power(k9_complex1(C),D)),k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,k26_valued_1(A,k1_numbers,B,C)))) ) ) ) ) ) )).
fof(t18_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(C),k1_domain_1(k4_ordinal1,k1_hilbert1,B,k3_hilbert1(k6_ltlaxio1(A),k4_ltlaxio1(A,k2_ltlaxio1(k6_ltlaxio1(A)))))) = 1 ) ) ) )).
fof(t18_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_hilbert1,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( r2_tarski(A,k4_finseq_1(B)) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B)))) = k9_margrel1(k9_margrel1(k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k7_nat_d(A,1),B)),k3_finseq_1(k2_ltlaxio2(k17_finseq_1(k1_hilbert1,k7_nat_d(A,1),B))))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,B,A))),k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(k2_rfinseq(k1_hilbert1,A,B)),k3_finseq_1(k2_ltlaxio2(k2_rfinseq(k1_hilbert1,A,B)))))) ) ) ) ) )).
fof(t18_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ( v1_ltlaxio3(A) => k5_ltlaxio3(A) = A ) ) )).
fof(t18_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k8_ltlaxio4(A)) => r8_ltlaxio1(k1_subset_1(k1_hilbert1),k3_hilbert1(k12_ltlaxio3(A),k2_ltlaxio1(k12_ltlaxio3(B)))) ) ) )).
fof(t18_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,B,C)),k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,B,C),k4_cqc_the1(A)) ) ) ) ) )).
fof(t18_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ( v1_funct_1(k17_funcop_1(k6_finseq_1(A),B)) & ~ v1_xboole_0(k17_funcop_1(k6_finseq_1(A),B)) & v2_margrel1(k17_funcop_1(k6_finseq_1(A),B)) & v3_margrel1(k17_funcop_1(k6_finseq_1(A),B),A) & m1_subset_1(k17_funcop_1(k6_finseq_1(A),B),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) ) ) )).
fof(t18_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_rusub_4(A,B,k1_mathmorp(A,D,C)) = k1_mathmorp(A,D,k6_rusub_4(A,B,C)) ) ) ) ) )).
fof(t18_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( r1_matrix10(B,k2_matrix10(A,C)) => v2_matrix10(k4_matrix10(A,B,C)) ) ) ) ) )).
fof(t18_matrix11,axiom,( ! [A] : ! [B] : ( ~ r2_hidden(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_xboole_0(A,k1_tarski(B)),k2_xboole_0(A,k1_tarski(B))) & v3_funct_2(C,k2_xboole_0(A,k1_tarski(B)),k2_xboole_0(A,k1_tarski(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(A,k1_tarski(B)),k2_xboole_0(A,k1_tarski(B))))) ) => ~ ( k1_funct_1(C,B) = B & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,A) & v3_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k2_partfun1(k2_xboole_0(A,k1_tarski(B)),k2_xboole_0(A,k1_tarski(B)),C,A) != D ) ) ) ) )).
fof(t18_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(D),C,C) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(D))) ) => ( ( r2_tarski(B,k4_finseq_1(k3_matrix_1(D,C))) & r2_tarski(A,k4_finseq_1(k3_matrix_1(D,C))) ) => ( r1_xxreal_0(C,k5_numbers) | k4_matrix_3(D,E,k4_matrix12(C,C,D,k3_matrix_1(D,C),B,A)) = k4_matrix12(C,C,D,E,B,A) ) ) ) ) ) ) ) )).
fof(t18_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(C,k4_ordinal1)) => ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(B,k4_ordinal1)) => ~ ( r1_tarski(k2_zfmisc_1(k10_xtuple_0(E),k10_xtuple_0(F)),k2_matrix_0(D)) & ( C = k5_numbers => B = k5_numbers ) & ( B = k5_numbers => C = k5_numbers ) & k4_matrix_0(A,k1_matrix13(A,D,C,B,E,F)) != k1_matrix13(A,k4_matrix_0(A,D),B,C,F,E) ) ) ) ) ) ) ) )).
fof(t18_matrix14,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( ( v1_matrix_6(C,A,B) & D = k1_matrix_6(A,B,C) ) => ( k4_matrix_3(B,D,C) = k3_matrix_1(B,A) & k4_matrix_3(B,C,D) = k3_matrix_1(B,A) ) ) & ( ( k4_matrix_3(B,D,C) = k3_matrix_1(B,A) & k4_matrix_3(B,C,D) = k3_matrix_1(B,A) ) => ( v1_matrix_6(C,A,B) & D = k1_matrix_6(A,B,C) ) ) ) ) ) ) ) )).
fof(t18_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,B,A,A) & m2_finseq_1(D,k3_finseq_2(B)) ) => ( r2_matrix16(B,D,C) => ( r1_xxreal_0(A,k5_numbers) | C = k8_matrix_0(B,D,1) ) ) ) ) ) ) )).
fof(t18_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k12_finseq_1(A,B),k12_finseq_1(A,C))) & v2_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k12_finseq_1(A,B),k12_finseq_1(A,C)),A,2,1) & m2_finseq_1(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k12_finseq_1(A,B),k12_finseq_1(A,C)),k3_finseq_2(A)) ) ) ) ) )).
fof(t18_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => k4_matrix_3(B,k3_matrix_1(B,A),C) = C ) ) ) )).
fof(t18_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) ) => k1_matrix_4(A,k1_matrix_4(A,D,B),k1_matrix_4(A,D,C)) = k1_matrix_4(A,C,B) ) ) ) ) ) )).
fof(t18_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) & k5_matrix_5(B,A) = B ) => A = k8_matrix_5(k3_finseq_1(A),k1_matrix_0(A)) ) ) ) )).
fof(t18_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( C = k4_matrix_3(B,C,D) & v1_matrix_6(C,A,B) ) => r1_matrix_6(A,B,C,D) ) ) ) ) ) )).
fof(t18_matrix_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => m1_matrix_1(k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B),k9_matrix_1(A)) ) ) )).
fof(t18_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v2_matrix_6(C,A,B) => v2_matrix_6(k4_matrix_3(B,k4_matrix_0(u1_struct_0(B),C),C),A,B) ) ) ) ) )).
fof(t18_matrix_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(k7_finseq_1(B,C),k9_matrix_1(A)) => r2_tarski(k7_finseq_1(C,B),k9_matrix_1(A)) ) ) ) ) )).
fof(t18_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(k5_matrixc1(A,B))) => k9_matrix_5(k5_matrixc1(A,B),C) = k3_xcmplx_0(k9_matrix_5(A,C),k9_matrix_5(B,C)) ) ) ) ) )).
fof(t18_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrixj1(B,A) & m2_finseq_1(B,k3_finseq_2(k3_finseq_2(A))) ) => ! [C] : ( ( v1_matrixj1(C,A) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => k11_matrixj1(A,k3_matrixj1(A,B,C)) = k8_finseq_1(k4_ordinal1,k11_matrixj1(A,B),k11_matrixj1(A,C)) ) ) ) )).
fof(t18_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_vectsp_4(D,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(C)) & v13_vectsp_1(E,C,C) & v1_mod_2(E,B,C,C) & v2_matrixj2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k3_ranknull(B,C,C,k1_vectsp11(C,E,A))),u1_struct_0(k3_ranknull(B,C,C,k1_vectsp11(C,E,A)))) & v2_matrixj2(F,B,k3_ranknull(B,C,C,k1_vectsp11(C,E,A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_ranknull(B,C,C,k1_vectsp11(C,E,A))),u1_struct_0(k3_ranknull(B,C,C,k1_vectsp11(C,E,A)))))) ) => ( ( r1_funct_2(u1_struct_0(k3_ranknull(B,C,C,k1_vectsp11(C,E,A))),u1_struct_0(k3_ranknull(B,C,C,k1_vectsp11(C,E,A))),u1_struct_0(k3_ranknull(B,C,C,k1_vectsp11(C,E,A))),u1_struct_0(C),F,k8_matrlin2(B,C,C,k3_ranknull(B,C,C,k1_vectsp11(C,E,A)),E)) & r1_xxreal_0(A,k9_matrixj2(B,C,E)) ) => k2_xcmplx_0(k9_matrixj2(B,k3_ranknull(B,C,C,k1_vectsp11(C,E,A)),F),A) = k9_matrixj2(B,C,E) ) ) ) ) ) ) ) )).
fof(t18_matrixr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => k2_matrix_0(k6_matrix_3(A,C,B)) = k2_matrix_0(C) ) ) ) )).
fof(t18_matrixr2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ~ ( ~ r1_xxreal_0(k1_matrix_0(C),k5_numbers) & ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) & k4_matrix_3(A,C,k1_matrix_3(A,k1_matrix_0(C),B)) != k1_matrix_3(A,k3_finseq_1(C),B) ) ) ) ) ) )).
fof(t18_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_matrlin(E,A,B) => ! [F] : ( m2_finseq_1(F,u1_struct_0(A)) => ( ( k3_finseq_1(F) = k3_finseq_1(E) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) ) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k4_rlvect_1(B,k5_matrlin(A,B,F,E))) = k4_rlvect_1(C,k5_matrlin(A,C,F,k4_finseqop(u1_struct_0(B),u1_struct_0(C),E,D))) ) ) ) ) ) ) ) )).
fof(t18_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_matrlin(D,A,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k9_matrlin(A,C,D,k3_vectsp_1(A,C,B,E)) = k9_fvsum_1(A,k9_matrlin(A,C,D,E),B) ) ) ) ) ) )).
fof(t18_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ? [C] : ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(C,B) & k4_card_1(C) = k4_matroid0(A,B) ) ) ) )).
fof(t18_matrprob,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,A) => ( k3_finseq_1(D) = C => ( v1_matrix_0(k2_finseq_2(B,D)) & v2_matrix_0(k2_finseq_2(B,D),A,B,C) & m2_finseq_1(k2_finseq_2(B,D),k3_finseq_2(A)) ) ) ) ) ) ) )).
fof(t18_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) & v3_valued_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) => ( A = k5_numbers | k1_funct_1(k1_funct_1(k3_matrtop1(A,B,E),D),C) = k13_fvsum_1(k2_vectsp_1,k1_matrtop1(D),k8_matrix_0(u1_struct_0(k2_vectsp_1),E,C)) ) ) ) ) ) ) ) )).
fof(t18_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(B,C) ) => ( r1_xxreal_0(B,A) | k2_matrtop3(C,k5_numbers,A,B) = k3_matrix_1(k2_vectsp_1,C) ) ) ) ) ) )).
fof(t18_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B),B) = B & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B),C) = C => B = C ) ) ) ) ) )).
fof(t18_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,C,B) <=> r1_pboole(A,C,k1_mboolean(A,B)) ) ) ) )).
fof(t18_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r2_hidden(D,k2_zfmisc_1(k1_tarski(A),k2_tarski(B,C))) => ( k1_xtuple_0(D) = A & ( k2_xtuple_0(D) = B | k2_xtuple_0(D) = C ) ) ) )).
fof(t18_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ~ v1_xboole_0(k1_enumset1(B,C,k1_xboole_0)) & v4_card_3(k1_enumset1(B,C,k1_xboole_0)) & m1_subset_1(k1_enumset1(B,C,k1_xboole_0),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(t18_measure2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ! [B] : ( v7_ordinal1(B) => r1_tarski(k1_funct_1(A,B),k1_funct_1(A,k1_nat_1(B,1))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => r1_tarski(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) )).
fof(t18_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ! [E] : ( r2_tarski(E,D) <=> ? [F] : ( r2_tarski(F,B) & ? [G] : ( m1_measure3(G,A,B,C) & E = k2_xboole_0(F,G) ) ) ) => ( ~ v1_xboole_0(D) & v1_prob_1(D,A) & v4_prob_1(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) ) ) )).
fof(t18_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v3_measure5(A) => A = k2_xxreal_1(k7_supinf_2(A),k8_supinf_2(A)) ) ) )).
fof(t18_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_measure8(C,A,B) => ! [D] : ( r2_tarski(D,B) => k12_supinf_2(C,D) = k12_supinf_2(k9_measure8(A,B,C),D) ) ) ) ) )).
fof(t18_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => k5_member_1(k5_xboole_0(A,B)) = k5_xboole_0(k5_member_1(A),k5_member_1(B)) ) ) )).
fof(t18_membered,axiom,( ! [A] : ( v6_membered(A) => ( ! [B] : ( v7_ordinal1(B) => r2_tarski(B,A) ) => A = k4_ordinal1 ) ) )).
fof(t18_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) ) => k7_memstr_0(A,B,k5_memstr_0(A,B,C)) = k5_relat_1(C,k6_domain_1(u1_struct_0(B),k4_struct_0(B))) ) ) ) )).
fof(t18_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),C,G)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,H)),k1_rlvect_1(k15_euclid(2),A,H)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,I)),k1_rlvect_1(k15_euclid(2),B,I)) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | G = 1 | H = 1 | I = 1 | ( r1_rltopsp1(k15_euclid(2),D,E,F) <=> k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(G,k6_xcmplx_0(1,G)),k7_xcmplx_0(H,k6_xcmplx_0(1,H))),k7_xcmplx_0(I,k6_xcmplx_0(1,I))) = k4_xcmplx_0(1) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( m1_subset_1(E,C) => ~ ( E = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => ( v6_supinf_2(k4_mesfunc5(A,k6_numbers,B,F)) & r1_mesfunc1(A,C,k4_mesfunc5(A,k6_numbers,B,F),E) ) ) & ! [F] : ( m1_subset_1(F,A) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_tarski(F,E) & r1_xxreal_0(G,H) ) => r1_xxreal_0(k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,H),F),k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,G),F)) ) ) ) ) & ~ r1_xxreal_0(k1_supinf_1,k7_mesfunc5(A,C,D,k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,B,k5_numbers),E))) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( ! [G] : ( v7_ordinal1(G) => k12_supinf_2(F,G) = k7_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,G)) ) & v10_mesfunc5(F) & k2_mesfunc5(F) = k7_mesfunc5(A,C,D,k7_mesfunc8(A,B)) ) ) ) ) ) ) ) ) )).
fof(t18_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ? [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) & k1_relset_1(A,C) = D ) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( r1_mesfun6c(A,B,C,E) => r1_mesfun6c(A,B,k25_valued_1(A,k2_numbers,C,D),E) ) ) ) ) ) ) ) )).
fof(t18_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,C,E),D) ) ) => r1_mesfunc1(A,B,k7_mesfun7c(A,C),D) ) ) ) ) ) )).
fof(t18_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( ( k1_relset_1(A,k4_mesfunc5(A,k1_numbers,D,k5_numbers)) = C & v1_mesfunc8(D,A,k1_numbers) & ! [E] : ( v7_ordinal1(E) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,D),E),C) ) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,C) => v1_series_1(k10_seqfunc(A,D,E)) ) ) ) => r1_mesfunc1(A,B,k8_mesfun7c(A,k2_mesfun9c(A,D)),C) ) ) ) ) ) )).
fof(t18_mesfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ! [D] : ( v1_xxreal_0(D) => k9_subset_1(A,C,k18_mesfunc1(A,B,D)) = k9_subset_1(A,k9_subset_1(A,C,k17_mesfunc1(A,B,D)),k15_mesfunc1(A,B,D)) ) ) )).
fof(t18_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( k12_supinf_2(k1_mesfunc2(A,B),C) = k12_supinf_2(B,C) | k12_supinf_2(k1_mesfunc2(A,B),C) = k1_supinf_2 ) & ( k12_supinf_2(k2_mesfunc2(A,B),C) = k2_supinf_2(k12_supinf_2(B,C)) | k12_supinf_2(k2_mesfunc2(A,B),C) = k1_supinf_2 ) ) ) ) ) )).
fof(t18_mesfunc3,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => ! [C] : ( m1_subset_1(C,k6_numbers) => ( ( C = k3_finseq_1(A) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(A)) => k12_supinf_2(A,D) = B ) ) ) => k4_extreal1(A) = k1_extreal1(C,B) ) ) ) ) )).
fof(t18_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_numbers,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_numbers,B))) ) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( m2_subset_1(G,k1_zfmisc_1(A),B) => ( ( v3_mesfunc5(C) & v3_mesfunc5(D) & ! [H] : ( v1_rat_1(H) => k1_funct_1(E,H) = k9_subset_1(A,k9_subset_1(A,G,k14_mesfunc1(A,C,H)),k9_subset_1(A,G,k14_mesfunc1(A,D,k6_xcmplx_0(F,H)))) ) ) => k9_subset_1(A,G,k14_mesfunc1(A,k3_mesfunc1(A,C,D),F)) = k3_tarski(k2_relset_1(B,E)) ) ) ) ) ) ) ) ) )).
fof(t18_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r1_mesfunc6(A,B,C,D) & r1_tarski(D,k1_relset_1(A,C)) ) => r2_tarski(k8_subset_1(A,k8_subset_1(A,D,k12_mesfunc1(C,E)),k10_mesfunc1(C,F)),B) ) ) ) ) ) ) ) )).
fof(t18_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : k2_partfun1(A,k6_numbers,k9_mesfunc1(A,B),C) = k9_mesfunc1(A,k2_partfun1(A,k6_numbers,B,C)) ) ) )).
fof(t18_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),D,F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k17_mesfunc1(A,k4_mesfunc5(A,k6_numbers,C,F),E)) ) => ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),k5_setlim_1(A,B,D),F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k17_mesfunc1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc8(A,C),F),E)) ) ) ) ) ) ) ) )).
fof(t18_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v1_mesfunc8(B,A,k6_numbers) & ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,C,E),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,B,E),D)) ) ) => v1_mesfunc8(C,A,k6_numbers) ) ) ) ) )).
fof(t18_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k9_metric_1(B,C,A) = a_3_4_metric_1(A,B,C) ) ) ) )).
fof(t18_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(k6_domain_1(u1_struct_0(A),B),k2_metric_2(A)) ) ) )).
fof(t18_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v6_metric_1(C) & v7_metric_1(C) & v8_metric_1(C) & v9_metric_1(C) & l1_metric_1(C) ) => ! [D] : ( m1_subset_1(D,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ! [E] : ( m1_subset_1(E,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => ! [F] : ( m1_subset_1(F,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C))) => r1_xxreal_0(k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,k13_metric_3(A,B,C),D,F),k3_real_1(k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,k13_metric_3(A,B,C),D,E),k2_binop_1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C)),k1_numbers,k13_metric_3(A,B,C),E,F))) ) ) ) ) ) ) )).
fof(t18_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_metric_6(A,C,B) <=> ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => r2_metric_6(A,k8_metric_1(A,B,D),C) ) ) ) ) ) ) )).
fof(t18_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( r1_ordinal1(k2_waybel23(A),B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_tops_2(C,A) & m1_setfam_1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(D,C) & m1_setfam_1(D,u1_struct_0(A)) & r1_ordinal1(k1_card_1(D),B) ) ) ) ) ) ) ) )).
fof(t18_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),k1_numbers))) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k10_funcsdom(k2_finseq_1(A))),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))),k1_numbers))) ) => ( ( r1_funct_2(u1_struct_0(k15_euclid(A)),k1_numbers,u1_struct_0(k10_funcsdom(k2_finseq_1(A))),k1_numbers,C,E) & B = D ) => k5_rlvect_2(k15_euclid(A),B,C) = k5_rlvect_2(k10_funcsdom(k2_finseq_1(A)),D,E) ) ) ) ) ) ) )).
fof(t18_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_midsp_1(A,B,C,E,F) & r1_midsp_1(A,C,D,F,G) ) => r1_midsp_1(A,B,D,E,G) ) ) ) ) ) ) ) ) )).
fof(t18_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_midsp_2(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_midsp_2(A,k4_struct_0(A)) = k4_struct_0(A) & k3_midsp_2(A,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k3_midsp_2(A,B),k3_midsp_2(A,C)) & ( k3_midsp_2(A,B) = k3_midsp_2(A,C) => B = C ) & k3_midsp_2(A,k1_midsp_2(A,B)) = B ) ) ) ) )).
fof(t18_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [F] : ( ( v4_midsp_2(F,B) & l1_midsp_2(F,B) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(u1_midsp_2(B,F))) => ! [H] : ( m2_finseq_2(H,u1_struct_0(u1_midsp_2(B,F)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,F)))) => ( ( k8_midsp_3(A,B,F,C,E) = H & k9_midsp_2(B,F,C,D) = G ) => ( k4_midsp_3(A,B,C,E) = D <=> k9_midsp_3(A,B,F,C,H) = G ) ) ) ) ) ) ) ) ) ) )).
fof(t18_mmlquer2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k7_relat_1(k8_funct_7(B,C),A) = k1_xboole_0 & r1_xxreal_0(C,D) ) => k7_relat_1(k8_funct_7(B,D),A) = k1_xboole_0 ) ) ) ) )).
fof(t18_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( r1_relset_1(A,A,E,F) & r1_tarski(B,C) & r1_relset_1(A,A,D,G) ) => r1_tarski(k9_mmlquery(A,D,B,F),k9_mmlquery(A,G,C,E)) ) ) ) ) ) ) ) )).
fof(t18_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( k2_mod_2(A,k6_mod_2(A,B)) = B & k3_mod_2(A,k6_mod_2(A,B)) = B & ! [C] : ( ( v2_mod_2(C,A) & v3_mod_2(C,A) & l1_mod_2(C,A) ) => ( k3_mod_2(A,C) = B => k8_mod_2(A,k6_mod_2(A,B),C) = C ) ) & ! [C] : ( ( v2_mod_2(C,A) & v3_mod_2(C,A) & l1_mod_2(C,A) ) => ( k2_mod_2(A,C) = B => k8_mod_2(A,C,k6_mod_2(A,B)) = C ) ) ) ) ) )).
fof(t18_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v1_vectsp_7(C,A,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r1_tarski(C,D) & v1_mod_3(D,A,B) ) ) ) ) ) ) )).
fof(t18_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v36_algstr_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_2(B,A) ) => k3_mod_4(k2_mod_4(A),k5_mod_4(A,B)) = g1_vectsp_2(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ) )).
fof(t18_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ( k8_trees_2(A,k1_modal_1(A)) = 1 => k1_trees_2(A,k1_modal_1(A)) = k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1)),k14_trees_3(k5_numbers)) ) ) )).
fof(t18_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k30_modelc_1(B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))))) ) => ( v2_modelc_1(A) => ( r4_modelc_1(B,C,E,F,D,A) <=> r2_tarski(k1_funct_1(F,A),k3_funct_2(B,k1_zfmisc_1(E),k46_modelc_1(B,E),D)) ) ) ) ) ) ) ) ) )).
fof(t18_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_2(C) & m2_finseq_1(C,k4_ordinal1) ) => ( r1_modelc_2(C,k8_modelc_2(A,B)) <=> ( C = A | C = B ) ) ) ) ) )).
fof(t18_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k13_modelc_2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k13_modelc_2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k13_modelc_2(A))) => ( B = k4_subset_1(k13_modelc_2(A),C,D) => r1_xxreal_0(k18_modelc_3(A,B),k2_xcmplx_0(k18_modelc_3(A,C),k18_modelc_3(A,D))) ) ) ) ) ) )).
fof(t18_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ~ ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(B)),k2_finseq_1(k1_nat_1(A,1))) & ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r1_tarski(k22_pre_poly(k8_newton,k13_nat_3(C)),k2_finseq_1(A)) & B = k2_nat_1(C,k11_newton(k1_nat_1(A,1),D)) & ! [E] : ( ( v7_ordinal1(E) & v1_int_2(E) ) => ( ( r2_tarski(E,k22_pre_poly(k8_newton,k13_nat_3(C))) => k11_nat_3(C,E) = k11_nat_3(B,E) ) & ( ~ r2_tarski(E,k22_pre_poly(k8_newton,k13_nat_3(C))) => r1_xxreal_0(k11_nat_3(C,E),k11_nat_3(B,E)) ) ) ) ) ) ) ) ) ) )).
fof(t18_moebius2,axiom,( k9_newton(13) = k3_enumset1(2,3,5,7,11) )).
fof(t18_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => ( u1_struct_0(B) = u1_struct_0(A) & r1_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u2_algstr_0(B),u2_algstr_0(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( C = E & D = F ) => k6_algstr_0(B,C,D) = k6_algstr_0(A,E,F) ) ) ) ) ) ) ) ) )).
fof(t18_monoid_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & l3_algstr_0(C) ) => ( m1_subset_1(A,u1_struct_0(k9_monoid_1(C,B))) <=> ( v1_funct_1(A) & v1_funct_2(A,B,u1_struct_0(C)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(C)))) ) ) ) )).
fof(t18_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k1_morph_01(A,k6_setfam_1(u1_struct_0(A),B),C) = k1_setfam_1(a_3_7_morph_01(A,B,C)) ) ) ) )).
fof(t18_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( v3_msualg_1(C,A) & v4_msualg_1(C,A) & v2_msafree(C,A) & l3_msualg_1(C,A) & ? [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B)) & r2_msualg_3(A,C,B,D) ) ) ) ) )).
fof(t18_msafree3,axiom,( ! [A] : ! [B] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(B)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(k1_trees_4(k4_tarski(A,E)),k1_funct_1(k5_msafree3(B,C,D),E)) <=> ( r2_tarski(A,k1_funct_1(D,E)) & r2_tarski(A,k1_funct_1(C,E)) ) ) ) ) ) ) )).
fof(t18_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_rewrite1(B) & v4_rewrite1(B) ) => k2_rewrite1(B,k2_rewrite1(B,A)) = k2_rewrite1(B,A) ) )).
fof(t18_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ( A != B => k9_trees_4(k1_trees_4(A),C,B) = k1_trees_4(A) ) ) )).
fof(t18_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,C),D)) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B),k4_msaterm(A,C,B,D,E)) = D ) ) ) ) ) )).
fof(t18_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v7_graph_1(B,A) & m1_graph_1(B,A) ) => ( v1_msscyc_1(B,A) => ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_graph_1(D,A) & m1_graph_1(D,A) & k3_finseq_1(D) = C & ~ v1_xboole_0(k7_finseq_1(D,B)) & v7_graph_1(k7_finseq_1(D,B),A) & m1_graph_1(k7_finseq_1(D,B),A) ) ) ) ) ) )).
fof(t18_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( r2_pboole(A,B,C) & v2_finset_1(C) ) => v2_finset_1(B) ) ) ) )).
fof(t18_mssublat,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & m1_msualg_2(C,A,B) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_msualg_1(A,B)))) ) => ( D = u1_struct_0(k12_msualg_1(A,C)) => v1_unialg_2(D,k12_msualg_1(A,B)) ) ) ) ) ) )).
fof(t18_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,C)) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ( r2_tarski(E,k5_msualg_2(A,C,D)) => r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A,B,C),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k9_msualg_2(A,C,D))),B))),k1_funct_1(k3_relat_1(u2_msualg_1(A),E),B)) ) ) ) ) ) ) )).
fof(t18_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ( ( r6_msualg_3(A,B,C) & r6_msualg_3(A,C,D) ) => r6_msualg_3(A,B,D) ) ) ) ) ) )).
fof(t18_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( v2_msualg_4(k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)),A,B) & v3_msualg_4(k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)),A,B) & m1_msualg_4(k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) )).
fof(t18_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_rewrite1(k3_msualg_6(A),C,D) & r1_rewrite1(k3_msualg_6(A),D,E) ) => ! [F] : ( m2_msualg_6(F,A,B,C,D) => ! [G] : ( m2_msualg_6(G,A,B,D,E) => m2_msualg_6(k1_partfun1(k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),E),F,G),A,B,C,E) ) ) ) ) ) ) ) ) )).
fof(t18_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v1_msualg_7(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k16_lattice3(A,C) = k16_lattice3(B,D) ) ) ) ) ) ) )).
fof(t18_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_msualg_5(A,B)))) => ( v2_msualg_4(k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C),A,B) & v3_msualg_4(k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C),A,B) & m1_msualg_4(k15_lattice3(k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B)),C),u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) ) ) )).
fof(t18_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,k3_msualg_1(A,C,B)) => r2_tarski(k3_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),D),k1_funct_1(u3_msualg_1(A,B),k2_msualg_1(A,C))) ) ) ) ) )).
fof(t18_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r3_alg_1(A,B,C) => r2_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) ) ) ) )).
fof(t18_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_necklace(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_necklace(A))) => ( ( B = D & C = E & r2_tarski(B,u1_struct_0(A)) ) => ( B = C | r1_orders_2(k3_necklace(A),D,E) | r1_orders_2(A,B,C) ) ) ) ) ) ) ) )).
fof(t18_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v4_pre_topc(B,A) & v3_pre_topc(C,A) & r1_tarski(B,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(u1_struct_0(A))))) ) => ~ ( r1_tarski(B,k1_prob_1(u1_struct_0(A),D)) & r1_tarski(k1_prob_1(u1_struct_0(A),D),C) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_tarski(k2_pre_topc(A,k8_nat_1(k1_zfmisc_1(u1_struct_0(A)),D,E)),C) & v3_pre_topc(k8_nat_1(k1_zfmisc_1(u1_struct_0(A)),D,E),A) ) ) ) ) ) ) ) => v10_pre_topc(A) ) ) )).
fof(t18_nagata_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ~ ( v2_funct_1(B) & v2_funct_1(C) & r1_tarski(k2_relset_1(A,C),k2_relset_1(A,B)) & v1_binop_1(D,A) & v2_binop_1(D,A) & ( v1_setwiseo(D,A) | ( r1_xxreal_0(1,k3_finseq_1(C)) & ~ r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) ) & ! [E] : ( m2_finseq_1(E,A) => ~ ( v2_funct_1(E) & k2_relset_1(A,E) = k7_subset_1(A,k2_relset_1(A,B),k2_relset_1(A,C)) & k1_finsop_1(A,B,D) = k4_binop_1(A,D,k1_finsop_1(A,C,D),k1_finsop_1(A,E,D)) ) ) ) ) ) ) ) )).
fof(t18_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( A = k2_xcmplx_0(k3_xcmplx_0(B,C),D) & A = k2_xcmplx_0(k3_xcmplx_0(B,E),F) ) => ( r1_xxreal_0(B,D) | r1_xxreal_0(B,F) | ( C = E & D = F ) ) ) ) ) ) ) ) ) )).
fof(t18_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ( k4_nat_d(A,2) = k5_numbers <=> k4_nat_d(k7_nat_d(A,1),2) = 1 ) ) ) )).
fof(t18_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v3_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v3_valued_0(C) & v2_pre_poly(C) ) => r1_tarski(k13_pre_poly(k6_nat_3(A,B,C)),k2_xboole_0(k13_pre_poly(B),k13_pre_poly(C))) ) ) )).
fof(t18_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_nat_d(A,k11_newton(B,C)) & v1_int_2(B) & v1_int_2(A) ) => B = A ) ) ) ) )).
fof(t18_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ~ ( r1_int_2(B,C) & r2_tarski(A,k3_moebius1(k3_xcmplx_0(B,C))) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(D,k3_moebius1(B)) & r2_tarski(E,k3_moebius1(C)) & A = k3_xcmplx_0(D,E) ) ) ) ) ) ) ) )).
fof(t18_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v1_int_1(B) => ( r2_int_1(k1_newton(B,2),1,A) <=> ( r2_int_1(B,1,A) | r2_int_1(B,k4_xcmplx_0(1),A) ) ) ) ) )).
fof(t18_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( A != k5_numbers => k1_nat_d(k3_xcmplx_0(A,B),A) = B ) ) ) )).
fof(t18_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( ( r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) ) => r1_nattra_1(A,B,C,E) ) ) ) ) ) ) )).
fof(t18_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_ncfcont1(A,B,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) & ! [E] : ( m1_nfcont_1(E,B,k7_partfun1(u1_struct_0(B),C,D)) => ? [F] : ( m1_ncfcont1(F,A,D) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,F),E) ) ) ) ) ) ) ) ) )).
fof(t18_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r3_ncfcont2(A,B,C,D) => r2_nfcont_2(A,B,k4_normsp_0(u1_struct_0(B),C,D)) ) ) ) ) )).
fof(t18_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(B) => ( v3_normsp_1(B,A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => k5_normsp_1(A,B) = k1_normsp_0(A,B,C) ) ) ) ) ) )).
fof(t18_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k2_vfunct_1(k1_numbers,A,C,D))) & r2_ndiff_3(A,C,B) & r2_ndiff_3(A,D,B) ) => ( r2_ndiff_3(A,k2_vfunct_1(k1_numbers,A,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_ndiff_3(A,k2_vfunct_1(k1_numbers,A,C,D),B),E) = k5_algstr_0(A,k1_ndiff_3(A,C,E),k1_ndiff_3(A,D,E)) ) ) ) ) ) ) ) ) )).
fof(t18_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k7_partfun1(k1_euclid(A),C,F) = k7_euclid(A,k9_euclid(A,D,F),E) ) ) ) => ( r2_ndiff_4(A,C,B) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,B) => k1_funct_1(k2_ndiff_4(A,C,B),F) = D ) ) ) ) ) ) ) ) ) )).
fof(t18_ndiff_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v2_fdiff_1(A) <=> ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( D != k5_numbers & ~ r1_xxreal_0(C,k9_complex1(D)) & r1_xxreal_0(B,k7_xcmplx_0(k9_complex1(k1_funct_1(A,D)),k9_complex1(D))) ) ) ) ) ) ) ) ) )).
fof(t18_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,E,C,D) ) => v3_nfcont_1(C,A) ) ) ) ) ) ) )).
fof(t18_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k1_funct_1(k4_ndiff_7(A,B,k3_ndiff_7(A,B)),k10_finseq_1(C,D)) = k4_tarski(C,D) ) ) ) ) )).
fof(t18_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( r1_xboole_0(u1_struct_0(A),u1_struct_0(B)) => k3_necklace(k2_neckla_2(A,B)) = k1_neckla_2(k3_necklace(A),k3_necklace(B)) ) ) ) )).
fof(t18_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => u1_orders_2(k4_necklace(A)) = k2_xboole_0(a_1_0_necklace(A),a_1_1_necklace(A)) ) )).
fof(t18_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ~ ( k2_net_1(A) != k1_xboole_0 & k6_net_1(A,B) != k1_tarski(B) & k6_net_1(A,B) != k4_net_1(A,B) ) ) ) )).
fof(t18_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k3_xcmplx_0(k2_newton(A),k2_newton(B)) != k5_numbers ) ) )).
fof(t18_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(k2_xcmplx_0(k1_newton(A,E),k1_newton(B,E)),k1_newton(C,E)) & ~ r1_xxreal_0(A,k5_ordinal1) & ~ r1_xxreal_0(B,k5_ordinal1) & ~ r1_xxreal_0(D,k5_ordinal1) & r1_xxreal_0(k1_newton(C,k2_xcmplx_0(D,E)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(D,E)),k1_newton(B,k2_xcmplx_0(D,E)))) ) ) ) ) ) ) )).
fof(t18_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r3_nfcont_1(A,B,D,C) <=> ( r1_tarski(C,k1_relset_1(u1_struct_0(A),D)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_tarski(k2_relset_1(u1_struct_0(A),E),C) & v3_normsp_1(E,A) & r2_tarski(k5_normsp_1(A,E),C) ) => ( v3_normsp_1(k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D),B) & k7_partfun1(u1_struct_0(B),D,k5_normsp_1(A,E)) = k5_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D)) ) ) ) ) ) ) ) ) )).
fof(t18_nfcont_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(C),D,A),C) & r1_tarski(B,A) ) => v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(C),D,B),C) ) ) ) )).
fof(t18_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,C)) & r1_nfcont_4(A,C,B) ) => r1_nfcont_4(A,k2_nfcont_4(A,k1_numbers,C),B) ) ) ) ) )).
fof(t18_normform,axiom,( ! [A] : v1_setwiseo(k5_normform(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) )).
fof(t18_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,B,C) = k1_normsp_0(A,B,D) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,B,D) = C ) ) ) ) ) )).
fof(t18_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_normsp_2(A)),u1_struct_0(k3_normsp_2(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_normsp_2(A)),u1_struct_0(k3_normsp_2(B))))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k3_normsp_2(A))) => ( ( C = D & E = F ) => ( r1_nfcont_1(A,B,C,E) <=> r1_tmap_1(k3_normsp_2(A),k3_normsp_2(B),D,F) ) ) ) ) ) ) ) ) )).
fof(t18_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_normsp_3(B,A) & v3_nfcont_1(C,A) ) => k1_normsp_3(A,C) = k1_normsp_3(A,k9_subset_1(u1_struct_0(A),C,B)) ) ) ) ) )).
fof(t18_numbers,axiom,( r1_tarski(k4_ordinal1,k3_numbers) )).
fof(t18_numeral2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ! [C] : ( v1_int_1(C) => ( ( k2_afinsq_1(A) = k2_afinsq_1(B) & ! [D] : ( r2_hidden(D,k2_afinsq_1(A)) => k1_funct_1(A,D) = k3_xcmplx_0(C,k1_funct_1(B,D)) ) ) => k7_afinsq_2(A) = k3_xcmplx_0(C,k7_afinsq_2(B)) ) ) ) ) )).
fof(t18_numpoly1,axiom,( k1_numpoly1(8) = 36 )).
fof(t18_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_o_ring_1(B,A) & v11_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t18_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ~ ( D != k1_xboole_0 & r1_tarski(D,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_openlatt(A,C),k10_openlatt(A,B))) & v6_ordinal1(D) & ! [E] : ~ ( r2_tarski(E,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_openlatt(A,C),k10_openlatt(A,B))) & ! [F] : ( r2_tarski(F,D) => r1_tarski(F,E) ) ) ) ) ) ) )).
fof(t18_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k2_oppcat_1(A))) => ! [C] : ( m1_subset_1(C,u4_struct_0(k2_oppcat_1(A))) => ( k3_graph_1(k2_oppcat_1(A),C) = k4_graph_1(k2_oppcat_1(A),B) => k6_oppcat_1(A,k1_cat_1(k2_oppcat_1(A),B,C)) = k1_cat_1(A,k6_oppcat_1(A,C),k6_oppcat_1(A,B)) ) ) ) ) )).
fof(t18_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_ordeq_01(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_rsspace4(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_rsspace4(A,B))) => ( ( E = C & F = D ) => k1_algstr_0(k5_ordeq_01(A,B),C,D) = k3_rlvect_1(k9_rsspace4(A,B),E,F) ) ) ) ) ) ) ) )).
fof(t18_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(B,C) & r1_tarski(k1_rcomp_1(B,C),k1_relset_1(k1_numbers,D)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k1_rcomp_1(B,C)) => r1_nfcont_3(A,D,E) ) ) & r2_ndiff_3(A,D,k2_rcomp_1(B,C)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k2_rcomp_1(B,C)) => k1_ndiff_3(A,D,E) = k4_struct_0(A) ) ) ) => k7_partfun1(u1_struct_0(A),D,C) = k7_partfun1(u1_struct_0(A),D,B) ) ) ) ) ) )).
fof(t18_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_orders_1(A) => v3_orders_1(k2_relat_1(A)) ) ) )).
fof(t18_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,C) & r2_tarski(B,k1_orders_2(A,C)) ) ) ) ) )).
fof(t18_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_ordinal1(k3_tarski(A)) & v2_ordinal1(k3_tarski(A)) ) ) )).
fof(t18_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => k3_ordinal2(A) = A ) )).
fof(t18_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( ( r1_ordinal1(A,B) & r1_ordinal1(C,D) ) => r1_ordinal1(k10_ordinal2(A,C),k10_ordinal2(B,D)) ) ) ) ) ) )).
fof(t18_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = k10_ordinal2(B,C) ) ) => v2_ordinal2(A) ) ) ) )).
fof(t18_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => k1_ordinal5(A,2) = k12_ordinal2(A,A) ) )).
fof(t18_ordinal6,axiom,( ! [A] : ( k9_xtuple_0(k2_ordinal6(A)) = k1_ordinal6(A) & k10_xtuple_0(k2_ordinal6(A)) = k2_ordinal1(A) ) )).
fof(t18_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,k5_algstr_0(B,E,D),C) => ( r1_orders_2(B,D,C) | k1_ortsp_1(A,B,C,D,E) = k1_group_1(A) ) ) ) ) ) ) ) )).
fof(t18_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_osalg_1(A,k11_osafree(A,B,D),k1_msualg_1(A,C)) <=> r2_tarski(D,k3_msualg_1(A,C,k8_osafree(A,B))) ) ) ) ) ) )).
fof(t18_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_pboole(C,u4_struct_0(A),k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k3_osalg_1(A,B))),k3_relat_1(u2_msualg_1(A),k3_osalg_1(A,B))) => v12_osalg_1(k4_osalg_1(A,B,C),A) ) ) ) )).
fof(t18_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => r1_tarski(k5_osalg_2(A,B,C),k6_osalg_2(A,B)) ) ) ) )).
fof(t18_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v3_msualg_1(B,A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v3_msualg_1(C,A) & v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ( r3_osalg_3(A,B,C) => ( v13_osalg_1(B,A) <=> v13_osalg_1(C,A) ) ) ) ) ) )).
fof(t18_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r2_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) => r4_msualg_3(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D)),C,k21_osalg_4(A,B,C,D)) ) ) ) ) ) )).
fof(t18_papdesaf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => v1_translac(k2_diraf(A)) ) )).
fof(t18_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_parsp_1(A,B,C,B,C) ) ) ) )).
fof(t18_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r1_parsp_2(A,D,B,C) & r1_parsp_2(A,D,B,E) & r1_parsp_2(A,D,C,E) & D != E ) ) ) ) ) ) )).
fof(t18_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A),C))) ) => r1_tarski(k7_relat_1(D,B),k1_tarski(k1_funct_1(D,A))) ) )).
fof(t18_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( r2_tarski(D,k1_relset_1(B,E)) & r2_tarski(D,A) ) => r2_tarski(k7_partfun1(C,E,D),k2_relset_1(C,k2_partfun1(B,C,E,A))) ) ) ) ) ) )).
fof(t18_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ( ( r1_setfam_1(E,F) & r2_tarski(B,F) & r2_tarski(C,E) & r2_tarski(D,B) & r2_tarski(D,C) ) => r1_tarski(C,B) ) ) ) ) )).
fof(t18_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k1_relat_1(k4_relat_1(A)) = A ) )).
fof(t18_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_analoaf(A,E,C,E,D) & C != E & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_analoaf(A,E,B,E,F) & r2_analoaf(A,C,B,D,F) ) ) ) ) ) ) ) ) )).
fof(t18_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r2_pboole(A,B,C) => r2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,D)) ) ) ) ) )).
fof(t18_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_pcomps_1(B,A) => v1_pcomps_1(k1_pcomps_1(A,B),A) ) ) ) )).
fof(t18_pcs_0,axiom,( ! [A] : ( ( v14_pcs_0(A) & l2_pcs_0(A) ) => ! [B] : ( ( v14_pcs_0(B) & l2_pcs_0(B) ) => ( r1_tsep_1(A,B) => v8_relat_2(u1_orders_2(k19_pcs_0(A,B))) ) ) ) )).
fof(t18_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(1)))) ) => ( r2_relset_1(k1_euclid(A),k1_euclid(1),E,k3_pdiff_1(A,C)) => ( r4_pdiff_1(A,1,B,E,D) <=> r3_pdiff_1(A,B,C,D) ) ) ) ) ) ) ) )).
fof(t18_pdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ! [C] : ( m1_rcomp_1(C,k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(2,2),B)) => ( ( r3_pdiff_1(2,2,A,B) & r1_tarski(C,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,A,B))) ) => ! [D] : ( ( v9_ordinal1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(2,2),B)) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,2,A,B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,2,A,B))))) & k10_pdiff_1(2,2,A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,2,A,B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,2,A,B))))) ) ) ) ) ) ) ) ) )).
fof(t18_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ! [C] : ( m1_rcomp_1(C,k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(2,2),B)) => ( ( r2_pdiff_3(A,B) & r1_tarski(C,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B))) ) => ! [D] : ( ( v9_ordinal1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(2,2),B)) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B))))) & k3_pdiff_3(A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,2,k1_pdiff_3(1,2,A),B))))) ) ) ) ) ) ) ) ) )).
fof(t18_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(3)) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( E = k11_finseq_1(A,B,C) & r3_pdiff_1(3,3,F,E) ) => ( D = k10_pdiff_1(3,3,F,E) <=> ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & E = k11_finseq_1(G,H,I) & ? [J] : ( m1_rcomp_1(J,I) & r1_tarski(J,k1_relset_1(k1_numbers,k1_pdiff_2(3,3,F,E))) & ? [K] : ( v1_funct_1(K) & v3_fdiff_1(K) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & ? [L] : ( v1_funct_1(L) & v2_fdiff_1(L) & m1_subset_1(L,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) & D = k1_funct_1(K,1) & ! [M] : ( v1_xreal_0(M) => ( r2_hidden(M,J) => k6_xcmplx_0(k1_funct_1(k1_pdiff_2(3,3,F,E),M),k1_funct_1(k1_pdiff_2(3,3,F,E),I)) = k2_xcmplx_0(k1_funct_1(K,k6_xcmplx_0(M,I)),k1_funct_1(L,k6_xcmplx_0(M,I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r9_pdiff_5(E,D) ) => k9_pdiff_5(E,D) = k1_fdiff_1(k1_pdiff_2(3,3,k1_pdiff_3(3,3,E),D),C) ) ) ) ) ) ) )).
fof(t18_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r1_pdiff_1(A,B,C,D) => ( v1_funct_1(k8_pdiff_1(A,B,C,D)) & v1_funct_2(k8_pdiff_1(A,B,C,D),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))) & v13_vectsp_1(k8_pdiff_1(A,B,C,D),k4_real_ns1(A),k4_real_ns1(B)) & v1_lopban_1(k8_pdiff_1(A,B,C,D),k4_real_ns1(A),k4_real_ns1(B)) & m1_subset_1(k8_pdiff_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) ) ) ) ) ) )).
fof(t18_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,A) & B != k4_struct_0(k4_real_ns1(1)) & k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,C,k4_struct_0(k4_real_ns1(A))),B) = k4_struct_0(k4_real_ns1(A)) ) ) ) ) )).
fof(t18_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [D] : ( v1_xreal_0(D) => ( ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ( ( F = k3_relat_1(C,k4_pdiff_1(E,B)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,B) ) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),F),D) ) ) ) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),C),k3_xcmplx_0(B,D)) ) ) ) ) ) )).
fof(t18_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(A)))) => ? [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) & C = k1_funct_1(B,k12_finseq_1(k4_ordinal1,1)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(1))) => ( E = k9_finseq_1(D) => k17_lopban_1(k4_real_ns1(1),k4_real_ns1(A),B,E) = k1_rlvect_1(k4_real_ns1(A),C,D) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(1))) => k2_normsp_0(k4_real_ns1(A),k17_lopban_1(k4_real_ns1(1),k4_real_ns1(A),B,D)) = k3_xcmplx_0(k2_normsp_0(k4_real_ns1(A),C),k2_normsp_0(k4_real_ns1(1),D)) ) ) ) ) )).
fof(t18_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v11_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v6_pencil_1(k1_pencil_1(A,B,C)) & v5_pencil_1(k1_pencil_1(A,B,C)) & ~ ! [D] : ( m1_subset_1(D,A) => v3_pencil_1(k1_pencil_1(A,B,D)) ) ) ) => v6_pencil_1(k5_pencil_1(A,B)) ) ) ) )).
fof(t18_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_pencil_1(C,A) => v1_pencil_1(k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t18_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( ( ~ v13_pencil_1(C) & v16_pencil_1(C,A) & m3_pboole(C,A,k12_pralg_1(A,B)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,C)))) => ? [E] : ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & r2_tarski(E,k4_card_3(C)) & k1_tarski(k1_funct_7(E,k3_pencil_1(A,C),D)) = k4_card_3(k1_funct_7(C,k3_pencil_1(A,C),k6_domain_1(u1_struct_0(k2_pencil_1(A,B,k3_pencil_1(A,C))),D))) ) ) ) ) ) )).
fof(t18_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & ~ r1_xxreal_0(k1_vectsp_9(A,B),C) & r1_xxreal_0(3,k1_vectsp_9(A,B)) & v4_pencil_1(k5_pencil_4(A,B,C)) ) ) ) ) )).
fof(t18_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => v1_abian(k2_power(2,A)) ) ) )).
fof(t18_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_petri(B,A) <=> v4_petri(k12_petri(A,B),k11_petri(A)) ) ) ) )).
fof(t18_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k4_ordinal1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ( ( r2_pnproc_1(A,D,C) & r2_pnproc_1(A,C,B) ) => r1_pnproc_1(A,k3_pnproc_1(A,B,k3_pnproc_1(A,C,D)),k2_pnproc_1(A,k3_pnproc_1(A,B,C),D)) ) ) ) ) )).
fof(t18_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_polyalg1(C,A,B) ) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & u1_struct_0(C) = D & v3_polyalg1(D,A,B) ) ) ) ) )).
fof(t18_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k4_polyeq_1(1,k5_numbers,A,B,C) = k5_numbers => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( C = k2_xcmplx_0(D,E) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,E),D),A) = k5_numbers ) => ( k2_xcmplx_0(k1_newton(D,3),k1_newton(E,3)) = k4_xcmplx_0(B) & k3_xcmplx_0(k1_newton(D,3),k1_newton(E,3)) = k1_newton(k4_xcmplx_0(k7_xcmplx_0(A,3)),3) ) ) ) ) ) ) ) ) )).
fof(t18_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k5_numbers,k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),k3_square_1(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)))),2)) & r1_xxreal_0(k5_numbers,k7_xcmplx_0(k2_xcmplx_0(A,k3_square_1(k2_xcmplx_0(k1_square_1(A),k1_square_1(B)))),2)) ) ) ) )).
fof(t18_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( k2_xcmplx_0(k3_xcmplx_0(C,k1_newton(A,F)),k3_xcmplx_0(D,k1_newton(B,F))) = E & k3_xcmplx_0(A,B) = k5_numbers & ~ v1_abian(F) & k3_xcmplx_0(C,D) != k5_numbers & ~ ( A = k5_numbers & B = k1_power(F,k7_xcmplx_0(E,D)) ) & ~ ( A = k1_power(F,k7_xcmplx_0(E,C)) & B = k5_numbers ) ) ) ) ) ) ) ) )).
fof(t18_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k2_polyeq_5(A,B,C),k3_polyeq_5(A,B,C)),k3_xcmplx_0(k2_polyeq_5(A,B,C),k4_polyeq_5(A,B,C))),k3_xcmplx_0(k3_polyeq_5(A,B,C),k4_polyeq_5(A,B,C))) = B ) ) ) )).
fof(t18_polyform,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => k1_funct_1(k7_finseq_1(k7_finseq_1(B,C),k9_finseq_1(A)),k2_xcmplx_0(k2_xcmplx_0(k3_finseq_1(B),k3_finseq_1(C)),1)) = A ) ) )).
fof(t18_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => k4_polynom1(A,B,D,E) = k4_algstr_0(B,k4_polynom1(A,B,C,E)) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),D,k5_vfunct_1(k15_pre_poly(A),B,C)) ) ) ) ) )).
fof(t18_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r3_orders_1(k17_pre_poly(A),k3_polynom1(k15_pre_poly(A),B,C)) ) ) ) )).
fof(t18_polynom3,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k1_wsierp_1(k17_finseq_1(k4_ordinal1,B,A)),k1_wsierp_1(k17_finseq_1(k4_ordinal1,C,A))) ) ) ) ) )).
fof(t18_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_polynom4(A,k10_polynom3(A),B) = k5_struct_0(A) ) ) )).
fof(t18_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,B,3),k12_polynom3(A,k12_polynom3(A,B,B),B)) ) ) )).
fof(t18_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l5_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k4_polynom1(A,B,k4_polynom7(A,B,C),k16_pre_poly(A)) = C & ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( D != k16_pre_poly(A) => k4_polynom1(A,B,k4_polynom7(A,B,C),D) = k4_struct_0(B) ) ) ) ) ) )).
fof(t18_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k9_algstr_0(A,k2_polynom8(A,C,B)) = k2_polynom8(A,C,k4_xcmplx_0(B)) ) ) ) ) )).
fof(t18_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(C),k1_polyred(A,k11_pre_poly(A,E,F),C,D),k1_polyred(A,E,C,k1_polyred(A,F,C,D))) ) ) ) ) ) ) )).
fof(t18_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k7_poset_2(A,B)),u1_struct_0(k7_poset_2(A,B))) & v2_poset_1(G,k7_poset_2(A,B),k7_poset_2(A,B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_poset_2(A,B)),u1_struct_0(k7_poset_2(A,B))))) & ! [H] : ( m1_subset_1(H,k4_poset_1(k4_poset_2(A),k4_poset_2(B))) => k1_funct_1(G,H) = k9_poset_2(A,B,C,D,E,F,H) ) ) ) ) ) ) ) ) )).
fof(t18_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(1,B) ) => ( r1_xxreal_0(1,k1_power(B,A)) & r1_xxreal_0(k1_power(B,A),A) ) ) ) ) )).
fof(t18_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => ( k1_msualg_1(B,D) != k1_xboole_0 => r2_tarski(E,k9_xtuple_0(k1_pralg_2(k2_pralg_2(k12_pralg_2(A,B,C,D))))) ) ) ) ) ) ) )).
fof(t18_pre_circ,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(A)) => k1_nat_1(k4_card_1(k7_trees_2(A,C,B)),k4_card_1(k5_trees_2(A,C))) = k1_nat_1(k4_card_1(A),k4_card_1(B)) ) ) ) )).
fof(t18_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => B = k2_xcmplx_0(k3_xcmplx_0(A,k2_pre_ff(k5_numbers)),k3_xcmplx_0(B,k2_pre_ff(1))) ) ) )).
fof(t18_pre_poly,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r1_tarski(k1_relat_1(B),A) => m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(t18_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k2_pre_topc(A,B)) ) ) )).
fof(t18_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => k1_pcs_0(A,A,B) = A ) ) )).
fof(t18_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,C,k1_prelamb(A,k2_prelamb(A,C,B),C))),k2_prelamb(A,C,B)) ) ) ) )).
fof(t18_prepower,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k1_newton(k1_funct_1(B,D),A) ) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k1_newton(k1_seq_2(B),A) ) ) ) ) ) )).
fof(t18_prob_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r2_tarski(B,C) => m1_prob_1(B,A,C) ) ) )).
fof(t18_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m2_prob_1(D,A,B) => ( ~ ( ~ r1_xxreal_0(1,k3_funct_2(B,k1_numbers,D,k7_prob_1(A,B,k4_prob_1(A,B),C))) & r1_xxreal_0(k3_funct_2(B,k1_numbers,D,C),k5_numbers) ) & ~ ( ~ r1_xxreal_0(k3_funct_2(B,k1_numbers,D,C),k5_numbers) & r1_xxreal_0(1,k3_funct_2(B,k1_numbers,D,k7_prob_1(A,B,k4_prob_1(A,B),C))) ) ) ) ) ) ) )).
fof(t18_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => r1_tarski(k1_prob_2(B,k9_setfam_1(B),k3_prob_3(B,C),A),k1_prob_2(B,k9_setfam_1(B),k2_prob_3(B,C),A)) ) ) )).
fof(t18_prob_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) => ! [C] : ( v7_ordinal1(C) => r1_xboole_0(k1_prob_4(A,k9_setfam_1(A),k3_prob_3(A,B),k1_nat_1(C,1)),k1_prob_2(A,k9_setfam_1(A),B,C)) ) ) ) )).
fof(t18_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k9_cqc_lang(A,k6_cqc_lang(A,B),k6_cqc_lang(A,C)),k6_cqc_lang(A,k7_cqc_lang(A,B,C))),k4_cqc_the1(A)) ) ) ) )).
fof(t18_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_projdes1(A,B,C,D,E) & r1_projdes1(A,B,C,D,F) & ~ r1_collsp(A,B,C,F) & r1_projdes1(A,B,C,E,F) ) ) ) ) ) ) ) )).
fof(t18_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ~ ( ? [B] : ( m1_subset_1(B,u1_incsp_1(A)) & ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & r5_projpl_1(A,B,C,D,E) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => r4_projpl_1(A,B,C,D) ) ) ) ) ) )).
fof(t18_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ( ~ r1_incsp_1(A,B,C) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( r1_incsp_1(A,D,C) => k1_funct_1(k1_projred1(A,C,C,B),D) = D ) ) ) ) ) ) )).
fof(t18_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,F),L) & r1_incsp_1(A,E,M) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,E),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,H),O) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,G),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,E,F),I) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),H,F,G),J) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,E,G),K) ) => ( r1_incsp_1(A,B,L) | r1_incsp_1(A,B,N) | r1_incsp_1(A,C,N) | r1_incsp_1(A,H,L) | r1_projred2(A,L,M,N) | r1_projred2(A,M,N,O) | B = C | C = H | H = B | ( P != L & P != N & ~ r1_incsp_1(A,H,P) & ~ r1_incsp_1(A,C,P) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_prvect_1(B,A) => ( ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => v2_binop_1(k9_prvect_1(A,B,C),k1_funct_1(A,C)) ) => v2_binop_1(k12_prvect_1(A,B),k4_card_3(A)) ) ) ) )).
fof(t18_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,E) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( C = k1_domain_1(u1_struct_0(A),u1_struct_0(B),E,G) & D = k1_domain_1(u1_struct_0(A),u1_struct_0(B),F,H) ) => k3_rlvect_1(k7_prvect_3(A,B),C,D) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k3_rlvect_1(A,E,F),k3_rlvect_1(B,G,H)) ) ) ) ) ) ) ) & k4_struct_0(k7_prvect_3(A,B)) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_struct_0(A),k4_struct_0(B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( C = k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,E) => k4_algstr_0(k7_prvect_3(A,B),C) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k4_algstr_0(A,D),k4_algstr_0(B,E)) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( v1_xreal_0(F) => ( C = k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,E) => k1_rlvect_1(k7_prvect_3(A,B),C,F) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k1_rlvect_1(A,D,F),k1_rlvect_1(B,E,F)) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k7_prvect_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( C = k1_domain_1(u1_struct_0(A),u1_struct_0(B),D,E) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(2)) => ~ ( F = k10_finseq_1(k2_normsp_0(A,D),k2_normsp_0(B,E)) & k2_normsp_0(k7_prvect_3(A,B),C) = k12_euclid(F) ) ) ) ) ) ) ) ) ) )).
fof(t18_pscomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k8_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,k2_rcomp_1(A,B)) = a_2_0_pscomp_1(A,B) ) ) )).
fof(t18_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => r2_relset_1(u1_struct_0(A),u1_struct_0(A),k8_pua2mss1(A,D,k1_nat_1(B,C)),k8_pua2mss1(A,k8_pua2mss1(A,D,B),C)) ) ) ) ) )).
fof(t18_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r6_pboole(A,k2_pboole(A,k1_pzfmisc1(A,B),k2_pzfmisc1(A,B,C)),k2_pzfmisc1(A,B,C)) ) ) )).
fof(t18_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,k12_qc_lang1(A)),1)) = k5_numbers & ~ ( v2_qc_lang1(B,A) & ! [C] : ( v7_ordinal1(C) => ~ m2_subset_1(k1_funct_1(k11_qc_lang1(A,B),1),k6_qc_lang1(A),k8_qc_lang1(A,C)) ) ) & ( v3_qc_lang1(B,A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) = 1 ) & ( v4_qc_lang1(B,A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) = 2 ) & ( v5_qc_lang1(B,A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) = 3 ) ) ) ) )).
fof(t18_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ( k7_qc_lang2(A,B,C,E) = k5_qc_lang2(A,D,F) => ( B = D & k5_qc_lang2(A,C,E) = F ) ) ) ) ) ) ) ) )).
fof(t18_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k24_qc_lang1(A,k4_qc_lang2(A,B,C)) = k4_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,B),k24_qc_lang1(A,C)) ) ) ) )).
fof(t18_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,B))) => ~ ( C != D & k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C) = k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),D) & r3_xboole_0(C,D) ) ) ) ) ) )).
fof(t18_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_qc_trans(B,A) & m1_qc_lang1(B) ) => ! [C] : ( ( v1_henmodel(C,B) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(B))) ) => ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => v2_qc_trans(C,B,A) ) ) ) ) )).
fof(t18_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r3_lattices(A,k6_algstr_0(A,k1_quantal1(A,k1_quantal1(A,C,B),B),k1_quantal1(A,k1_quantal1(A,D,B),B)),k1_quantal1(A,k1_quantal1(A,k6_algstr_0(A,C,D),B),B)) ) ) ) ) )).
fof(t18_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => k22_quaterni(k21_quaterni(A,B),C) = k21_quaterni(k22_quaterni(A,C),k22_quaterni(B,C)) ) ) ) )).
fof(t18_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k24_quaterni(k22_quaterni(k3_quatern2,A),k22_quaterni(A,k3_quatern2)) = k5_quaterni(k5_numbers,k5_numbers,k4_xcmplx_0(k3_xcmplx_0(2,k15_quaterni(A))),k3_xcmplx_0(2,k14_quaterni(A))) ) )).
fof(t18_quaterni,axiom,( k9_quaterni(k11_quaterni,k1_xcmplx_0) = k10_quaterni )).
fof(t18_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k1_quin_1(B,C,D),k5_numbers) & ~ ( ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D),k5_numbers) <=> ( ~ r1_xxreal_0(A,k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B))) & ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B)),A) ) ) ) ) ) ) ) )).
fof(t18_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( B != k11_quofield(A) => ( k9_quofield(A,B,k14_quofield(A,B)) = k12_quofield(A) & k9_quofield(A,k14_quofield(A,B),B) = k12_quofield(A) ) ) ) ) )).
fof(t18_radix_1,axiom,( k11_radix_1(k5_numbers) = k5_numbers )).
fof(t18_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,B) & m2_finseq_1(D,k4_radix_3(C)) ) => ( r2_tarski(A,k2_finseq_1(B)) => m2_subset_1(k7_radix_3(A,C,B,D),k4_numbers,k4_radix_3(C)) ) ) ) ) ) )).
fof(t18_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k2_finseq_1(A)) & r1_xxreal_0(2,C) ) => k8_radix_1(A,C,k6_radix_5(A,B,C)) = k2_xcmplx_0(k8_radix_1(A,C,k4_radix_5(A,B,C)),k8_radix_1(A,C,k10_radix_1(C,A,1))) ) ) ) ) ) )).
fof(t18_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v3_card_1(C,k2_xcmplx_0(A,2)) & m2_finseq_1(C,k3_radix_1(B)) ) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(2,B) & ~ r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A,2),B,k8_radix_6(A,B,C)),k5_numbers) & r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A,2),B,C),k8_radix_1(k2_xcmplx_0(A,2),B,k2_radix_6(A,B,C))) ) ) ) ) )).
fof(t18_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ! [D] : ( m1_random_1(D,A,B) => m1_random_1(k3_valued_1(A,k1_numbers,k1_numbers,C,D),A,B) ) ) ) ) )).
fof(t18_random_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(k3_finseq_1(B)),A) & v1_random_3(D,k2_finseq_1(k3_finseq_1(B)),A,k1_random_1(k2_finseq_1(k3_finseq_1(B))),k1_random_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(k3_finseq_1(B)),A))) ) => ~ ( D = B & k12_supinf_2(k2_random_3(k2_finseq_1(k3_finseq_1(B)),A,k1_random_1(k2_finseq_1(k3_finseq_1(B))),k1_random_1(A),k2_random_1(k2_finseq_1(k3_finseq_1(B))),D),k1_tarski(C)) = k3_dist_1(A,B,C) ) ) ) ) ) )).
fof(t18_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_struct_0(k1_vectsp_7(A,B,C),k5_algstr_0(B,D,E)) => r1_struct_0(k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),E))),D) ) ) ) ) ) ) )).
fof(t18_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( ( k2_rat_1(A) = A | k1_rat_1(A) = 1 ) => v1_int_1(A) ) ) )).
fof(t18_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_ratfunc1(A,k4_polynom5(A,B,C)) = k8_group_1(A,C,k2_ratfunc1(A,B)) ) ) ) )).
fof(t18_rcomp_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & ! [C] : ( m1_rcomp_1(C,B) => ~ r1_tarski(C,A) ) ) ) ) )).
fof(t18_rcomp_3,axiom,( ! [A] : ( ( v5_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( ~ r2_hidden(k3_seq_4(A),A) & ~ r2_hidden(k2_seq_4(A),A) & ~ r1_tarski(A,k2_rcomp_1(k3_seq_4(A),k2_seq_4(A))) ) ) )).
fof(t18_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k8_nat_1(k4_ordinal1,k1_real_3(D,C),A) = k5_numbers => ( r1_xxreal_0(B,A) | k8_nat_1(k4_ordinal1,k2_real_3(D,C),B) = k5_numbers ) ) ) ) ) ) )).
fof(t18_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k5_real_lat(A),k1_funcsdom(A,k1_numbers,k4_real_lat(A),C,B),B),B) ) ) ) )).
fof(t18_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k4_real_ns1(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k4_real_ns1(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k7_real_ns1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k7_real_ns1(A))))) ) => ( ( r1_funct_2(k4_ordinal1,u1_struct_0(k4_real_ns1(A)),k4_ordinal1,u1_struct_0(k7_real_ns1(A)),B,C) & v1_bhsp_3(C,k7_real_ns1(A)) ) => v1_rsspace3(B,k4_real_ns1(A)) ) ) ) ) )).
fof(t18_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => m1_subset_1(k4_binop_1(u1_struct_0(A),k4_realset2(A),B,C),u1_struct_0(A)) ) ) ) )).
fof(t18_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k1_realset3(A),B,k4_binop_1(u1_struct_0(A),k1_realset3(A),C,D)) = k4_binop_1(u1_struct_0(A),u1_algstr_0(A),k4_binop_1(u1_struct_0(A),k1_realset3(A),B,C),D) ) ) ) ) )).
fof(t18_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k20_rfunct_3(A,k3_rearran1(B,A,D,C),A) = k20_rfunct_3(B,C,B) ) ) ) ) ) )).
fof(t18_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k1_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B)) ) ) )).
fof(t18_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) => m1_subset_1(k5_relset_1(A,C,D,B),k1_zfmisc_1(k2_zfmisc_1(B,C))) ) )).
fof(t18_relset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ) )).
fof(t18_revrot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_finseq_6(D,B) & m2_finseq_1(D,B) ) => ( ( r2_tarski(C,k10_xtuple_0(D)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k4_finseq_4(D,C)) ) => k7_partfun1(B,D,A) = k7_partfun1(B,k1_finseq_6(B,D,C),k7_nat_d(k1_nat_1(A,k3_finseq_1(D)),k4_finseq_4(D,C))) ) ) ) ) ) )).
fof(t18_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) => ( B = C | ( r2_hidden(B,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) ) ) ) ) )).
fof(t18_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ( ( r1_relset_1(k8_afinsq_1(A),k8_afinsq_1(A),B,C) & r1_rewrite2(A,B,D,E) ) => r1_rewrite2(A,C,D,E) ) ) ) ) ) )).
fof(t18_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(C))) => ! [E] : ( l1_rewrite3(E,D) => ~ ( ~ r2_tarski(k2_flang_1(C),k10_xtuple_0(k9_xtuple_0(u1_rewrite3(D,E)))) & r1_rewrite3(D,E,A,k2_flang_1(C),B) ) ) ) ) )).
fof(t18_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( ( k3_finseq_1(A) = k5_numbers | k3_finseq_1(A) = 1 ) => v8_valued_0(A) ) ) )).
fof(t18_rfinseq2,axiom,( ! [A] : ( ( v7_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( v7_ordinal1(B) => ( v7_valued_0(k17_finseq_1(k1_numbers,B,A)) & m2_finseq_1(k17_finseq_1(k1_numbers,B,A),k1_numbers) ) ) ) )).
fof(t18_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( v1_xcmplx_0(C) => k24_valued_1(k45_valued_1(A,B),C) = k45_valued_1(k24_valued_1(A,C),k24_valued_1(B,C)) ) ) ) )).
fof(t18_rfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( v5_xxreal_2(k2_relset_1(k1_numbers,B)) & k2_seq_4(k2_relset_1(k1_numbers,B)) = k3_seq_4(k2_relset_1(k1_numbers,B)) ) => v3_funct_1(B) ) ) ) )).
fof(t18_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => v1_setwiseo(k13_rfunct_3(A),k3_rfunct_3(A,k1_numbers)) ) )).
fof(t18_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_seq_2(A) & v4_partfun3(A) ) => r1_xxreal_0(k5_numbers,k2_rinfsup1(A)) ) ) )).
fof(t18_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( k5_rinfsup2(A) = k6_rinfsup2(A) & r2_tarski(k6_rinfsup2(A),k1_numbers) & ! [B] : ( v7_ordinal1(B) => ~ v3_rinfsup2(k1_valued_0(k6_numbers,A,B)) ) ) ) )).
fof(t18_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_ring_1(B,A) <=> ( ~ v2_struct_0(k2_ring_1(A,B)) & ~ v6_struct_0(k2_ring_1(A,B)) & v13_algstr_0(k2_ring_1(A,B)) & v4_vectsp_1(k2_ring_1(A,B)) & v5_vectsp_1(k2_ring_1(A,B)) & v2_rlvect_1(k2_ring_1(A,B)) & v3_rlvect_1(k2_ring_1(A,B)) & v4_rlvect_1(k2_ring_1(A,B)) & v3_group_1(k2_ring_1(A,B)) & v5_group_1(k2_ring_1(A,B)) & v1_vectsp_2(k2_ring_1(A,B)) & l6_algstr_0(k2_ring_1(A,B)) ) ) ) ) )).
fof(t18_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_gcd_1(A,B,C) <=> r2_tarski(C,k7_ideal_1(A,k6_domain_1(u1_struct_0(A),B))) ) ) ) ) )).
fof(t18_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,k9_ringcat1(A)) => ( ~ v2_struct_0(B) & v13_algstr_0(B) & v36_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) ) ) )).
fof(t18_rlaffin1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_rlvect_2(D,B) => r1_rlvect_2(B,k1_rlaffin1(B,k8_rlvect_2(B,A,D),C),k8_rlvect_2(B,A,k1_rlaffin1(B,D,C))) ) ) ) ) )).
fof(t18_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & v1_rlaffin1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,C) => k3_funct_2(u1_struct_0(A),k1_numbers,k5_rlaffin1(A,C,k1_funct_1(k2_rlaffin2(A),C)),B) = k7_xcmplx_0(1,k4_card_1(C)) ) ) ) ) )).
fof(t18_rlaffin3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_finset_1(D) & v1_rlaffin1(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( m2_rlaffin3(E,B,D) => ! [F] : ( m2_rlaffin3(F,B,k1_convex1(B,D,A)) => ( ( r2_tarski(C,k4_rlaffin1(B,D)) & F = k4_vfunct_1(k4_ordinal1,B,E,A) ) => ( A = k5_numbers | k1_rlaffin3(B,D,E,C) = k1_rlaffin3(B,k1_convex1(B,D,A),F,k1_rlvect_1(B,C,A)) ) ) ) ) ) ) ) ) )).
fof(t18_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => r1_struct_0(C,k4_struct_0(B)) ) ) ) )).
fof(t18_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ( k2_rlsub_2(A,k1_rlsub_1(A),B) = k1_rlsub_1(A) & k2_rlsub_2(A,B,k1_rlsub_1(A)) = k1_rlsub_1(A) ) ) ) )).
fof(t18_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => k1_convex1(A,k3_convex1(A,B),C) = k3_convex1(A,k1_convex1(A,B,C)) ) ) ) )).
fof(t18_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k4_algstr_0(A,B) = k4_algstr_0(A,C) => B = C ) ) ) ) )).
fof(t18_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => k2_rlvect_2(A,k5_subset_1(u1_struct_0(A),C,B)) = k3_rlvect_1(A,k2_rlvect_2(A,k7_subset_1(u1_struct_0(A),C,B)),k2_rlvect_2(A,k7_subset_1(u1_struct_0(A),B,C))) ) ) ) )).
fof(t18_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => ( B = u1_struct_0(C) => k1_rlvect_3(A,B) = C ) ) ) ) )).
fof(t18_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) => ( B = C | v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,k3_rlvect_1(A,C,B)),A) ) ) ) ) ) )).
fof(t18_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_3(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( D = k4_subset_1(u1_struct_0(A),B,C) & v1_rlvect_3(D,A) ) ) ) ) ) ) )).
fof(t18_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(A,k5_rusub_4(B,k2_rlvect_x(B,k6_domain_1(u1_struct_0(B),D)),C)) <=> ? [E] : ( v1_int_1(E) & A = k3_rlvect_1(B,C,k1_rlvect_1(B,D,E)) ) ) ) ) ) )).
fof(t18_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => r1_struct_0(D,k4_struct_0(C)) ) ) ) ) )).
fof(t18_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => ( m1_rmod_2(C,A,D) => m1_rmod_2(k2_rmod_3(A,B,C,E),A,k2_rmod_3(A,B,D,E)) ) ) ) ) ) ) )).
fof(t18_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),k3_rmod_4(A,B),C) = k4_struct_0(A) ) ) ) )).
fof(t18_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_robbins1(A,B,B) = B ) ) )).
fof(t18_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,k1_lattices(A,C,B)))) = B ) ) ) )).
fof(t18_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_robbins1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_robbins1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( r1_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_robbins1(A),u1_robbins1(B)) & C = D ) => k3_robbins1(A,C) = k3_robbins1(B,D) ) ) ) ) ) )).
fof(t18_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_robbins4)) => ( ( A = k6_subset_1(3,2) & B = 2 ) => ( k13_lattice3(k1_robbins4,A,B) = 3 & k12_lattice3(k1_robbins4,A,B) = k5_numbers ) ) ) ) )).
fof(t18_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => k3_roughs_1(A,k1_struct_0(A)) = k1_xboole_0 ) )).
fof(t18_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( k1_funct_1(B,k1_xboole_0) = k1_xboole_0 => k1_funct_1(k5_roughs_2(A,B),A) = A ) ) )).
fof(t18_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r3_xboole_0(k2_pre_topc(A,k1_tops_1(A,B)),k2_pre_topc(A,B)) ) ) )).
fof(t18_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => r1_xxreal_0(k5_numbers,k1_rpr_1(A,B)) ) ) )).
fof(t18_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_rsspace4(A,B))) => ( C = k4_struct_0(k9_rsspace4(A,B)) => k5_numbers = k2_normsp_0(k9_rsspace4(A,B),C) ) ) ) ) )).
fof(t18_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k1_numbers,C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,C),C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,C),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),k1_numbers))) ) => ( ( B = C & D = k4_struct_0(A) & E = k1_realset1(u1_algstr_0(A),B) & F = k5_relat_1(u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,B)) & G = k1_realset1(u1_bhsp_1(A),B) ) => m1_rusub_1(g1_bhsp_1(C,D,E,F,G),A) ) ) ) ) ) ) ) ) )).
fof(t18_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ( k2_rusub_2(A,k1_rusub_1(A),B) = k1_rusub_1(A) & k2_rusub_2(A,B,k1_rusub_1(A)) = k1_rusub_1(A) ) ) ) )).
fof(t18_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ( r1_tarski(k3_rlvect_2(A,C),u1_struct_0(B)) => ! [D] : ( m1_rlvect_2(D,B) => ( D = k2_partfun1(u1_struct_0(A),k1_numbers,C,u1_struct_0(B)) => ( k3_rlvect_2(A,C) = k3_rlvect_2(B,D) & k6_rlvect_2(A,C) = k6_rlvect_2(B,D) ) ) ) ) ) ) ) )).
fof(t18_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(C,k1_rusub_4(A)) <=> ? [D] : ( v1_bhsp_1(D) & m1_rusub_1(D,A) & k1_rusub_4(D) = C ) ) ) ) ) )).
fof(t18_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_rusub_5(A,B,B) = k3_tarski(a_2_0_rusub_5(A,B)) ) ) )).
fof(t18_rvsum_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) & v1_finseq_1(B) ) => k1_funct_1(k6_rvsum_1(B),A) = k4_xcmplx_0(k1_funct_1(B,A)) ) )).
fof(t18_rvsum_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k2_numbers) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k2_numbers) ) => ( k8_rvsum_2(A,B,C) = k5_finseq_2(k2_numbers,A,k5_complex1) => B = C ) ) ) ) )).
fof(t18_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => r1_tarski(k6_rvsum_3(A),k4_finseq_1(A)) ) )).
fof(t18_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k5_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1))),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),k10_ami_3(k5_numbers)) = k3_xcmplx_0(B,C) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ( E != k10_ami_3(k5_numbers) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(t18_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(C) & v2_scm_halt(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) ) => k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_scmfsa_m(A)) = k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A)),1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_scmfsa_m(A)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_3(k4_scmfsa_2(k5_numbers),1))))) ) ) ) ) )).
fof(t18_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 1 => k6_compos_0(u1_compos_1(k1_scmfsa_2),A) = k1_tarski(k1_xboole_0) ) ) )).
fof(t18_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k1_funct_4(A,k2_scmfsa6a(A,B)) = k2_scmfsa6a(A,B) ) ) )).
fof(t18_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(B,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(C) ) => ( r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( r1_tarski(k2_scmfsa6a(C,D),A) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => r8_pboole(u1_struct_0(k1_scmfsa_2),k9_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,C),D),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B)),E),k4_card_1(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k2_scmfsa6a(C,D)),B,k1_nat_1(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),B),1),E))) ) ) ) ) ) ) ) )).
fof(t18_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( r1_scmfsa8a(A,B,C) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k2_scmfsa8a(A,B,C)) => r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E)) ) ) ) ) ) ) ) )).
fof(t18_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A)) = k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),3) & ( k1_funct_1(B,E) = k5_numbers => ( ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A),F) = k1_funct_1(k1_scmfsa6b(C,B,A),F) ) & ! [F] : ( m1_scmfsa_2(F) => k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A),F) = k18_scmfsa_2(k1_scmfsa6b(C,B,A),F) ) ) ) & ( k1_funct_1(B,E) != k5_numbers => ( ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A),F) = k1_funct_1(k1_scmfsa6b(D,B,A),F) ) & ! [F] : ( m1_scmfsa_2(F) => k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8b(E,C,D),B,A),F) = k18_scmfsa_2(k1_scmfsa6b(D,B,A),F) ) ) ) ) ) ) ) ) ) )).
fof(t18_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(D,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( r5_scmfsa7b(E,C,A) & r1_tarski(E,A) & r1_tarski(E,B) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) ) => k8_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C) = k8_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D) ) ) ) ) ) ) )).
fof(t18_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k4_ami_2))) => m1_subset_1(k1_funct_4(A,B),k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) ) ) )).
fof(t18_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k6_scmfsa_2(A,B)) = 1 ) ) )).
fof(t18_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(B,D) != k5_numbers => r5_scmfsa7b(k3_scmfsa_x(D,C),B,A) ) ) ) ) ) )).
fof(t18_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 => k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A) = k1_scmfsa_m(A) ) ) )).
fof(t18_scmisort,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v1_scm_halt(A) & v1_scmfsa7b(A) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ? [C] : ( v1_funct_1(C) & v1_funct_2(C,k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k4_numbers))) & ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ~ ( ~ r1_xxreal_0(k1_funct_1(C,D),k5_numbers) & r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(C,k1_scmfsa6b(A,D,F))) ) & ( k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,E) => k1_funct_1(C,D) = k1_funct_1(C,E) ) & ( r1_xxreal_0(k1_funct_1(C,D),k5_numbers) => r1_xxreal_0(k1_funct_1(D,B),k5_numbers) ) & ( r1_xxreal_0(k1_funct_1(D,B),k5_numbers) => r1_xxreal_0(k1_funct_1(C,D),k5_numbers) ) ) ) ) ) ) => v1_scm_halt(k4_scmfsa_x(B,A)) ) ) ) )).
fof(t18_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k9_scmpds_2(C,A,B)) = 6 ) ) ) )).
fof(t18_scmpds_4,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v7_ordinal1(B) => ~ r2_tarski(A,k9_xtuple_0(k7_memstr_0(k5_card_1(2),k1_scmpds_2,B))) ) ) )).
fof(t18_scmpds_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => k9_scmpds_2(A,B,C) != k2_compos_1(k1_scmpds_2) ) ) ) )).
fof(t18_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v2_compos_1(E,k1_scmpds_2) & v3_scmpds_4(E) ) => ( ( r1_tarski(k10_compos_1(k1_scmpds_2,E),B) & r1_scmpds_6(E,D,B) & r2_scmpds_6(E,D,B) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(k61_valued_1(E,F),C) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) = F & k6_memstr_0(k5_card_1(2),k1_scmpds_2,D) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,A) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D))) = k2_xcmplx_0(k4_card_1(E),F) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,B,D,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,C,A,k8_extpro_1(k5_card_1(2),k1_scmpds_2,B,D))) ) ) ) ) ) ) ) ) ) )).
fof(t18_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ~ r1_xxreal_0(k1_nat_1(k4_card_1(D),2),C) <=> r2_tarski(C,k9_xtuple_0(k2_scmpds_8(A,B,D))) ) ) ) ) ) )).
fof(t18_scmpds_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k3_amistd_1(k5_card_1(2),k1_scmpds_2,A) = k4_ordinal1 ) )).
fof(t18_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( ? [C] : ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmring2(A))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmring2(A))) & v1_partfun1(C,u1_struct_0(k1_scmring2(A))) & k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmring2(A),B,C),k4_struct_0(k1_scmring2(A))) = k2_xcmplx_0(k5_memstr_0(k5_card_1(2),k1_scmring2(A),C),1) ) & v2_extpro_1(B,k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(t18_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = 6 & ! [C] : ( v7_ordinal1(C) => B != k8_scmring2(A,C) ) ) ) ) )).
fof(t18_scmyciel,axiom,( ! [A] : ~ ( k3_tarski(A) = k1_xboole_0 & A != k1_xboole_0 & A != k1_tarski(k1_xboole_0) ) )).
fof(t18_scpinvar,axiom,( k4_card_1(k4_scpinvar) = 12 )).
fof(t18_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_analoaf(A,B,D,B,E) & r2_analoaf(A,C,D,C,E) ) => ( r2_analoaf(A,B,C,B,D) | D = E ) ) ) ) ) ) ) )).
fof(t18_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,B,A),C)) ) ) ) )).
fof(t18_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) & ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) => r1_xxreal_0(k1_seq_2(A),k1_seq_2(B)) ) ) ) )).
fof(t18_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k8_nat_1(k1_numbers,B,D) != k8_nat_1(k1_numbers,A,D) ) ) | v2_comseq_2(B) ) ) ) ) )).
fof(t18_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => r2_relset_1(k4_ordinal1,k4_partfun1(A,k1_numbers),k5_seqfunc(A,k2_seqfunc(A,C,B)),k2_seqfunc(A,k5_seqfunc(A,C),k9_complex1(B))) ) ) ) )).
fof(t18_seqm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_valued_0(k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,B),A) = k37_valued_1(k4_ordinal1,k1_numbers,k1_valued_0(k1_numbers,B,A)) ) ) )).
fof(t18_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_series_1(A) & ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,B)) ) ) => r1_xxreal_0(k5_numbers,k4_series_1(A)) ) ) )).
fof(t18_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),k1_newton(B,4)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1)),B),k1_nat_1(B,1)),k6_xcmplx_0(k2_xcmplx_0(k1_newton(B,2),B),1)),2) ) ) ) )).
fof(t18_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(A,B) = 1 => r1_xxreal_0(k3_xcmplx_0(A,B),k7_xcmplx_0(1,4)) ) ) ) )).
fof(t18_series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(k1_nat_1(k3_xcmplx_0(2,B),1),k1_newton(3,B)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k1_nat_1(k3_xcmplx_0(B,k11_newton(3,k1_nat_1(B,1))),1) ) ) ) )).
fof(t18_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => r1_xxreal_0(k2_xcmplx_0(k3_square_1(k3_xcmplx_0(A,C)),k3_square_1(k3_xcmplx_0(B,D))),k3_square_1(k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(C,D)))) ) ) ) ) )).
fof(t18_setfam_1,axiom,( ! [A] : ! [B] : ( r1_setfam_1(B,k1_tarski(A)) => ! [C] : ( r2_tarski(C,B) => r1_tarski(C,A) ) ) )).
fof(t18_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k3_funct_2(k4_ordinal1,k9_setfam_1(A),k4_setlim_1(A,B),k5_numbers) = k1_kurato_0(A,B) ) )).
fof(t18_setlim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => k7_nat_1(k9_setfam_1(B),k7_setlim_2(B,D,C),A) = k7_setlim_2(B,k7_nat_1(k9_setfam_1(B),D,A),C) ) ) ) )).
fof(t18_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v3_binop_1(C,B) & v1_binop_1(C,B) & v2_binop_1(C,B) ) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => k7_setwiseo(A,B,C,k3_setwiseo(A,E,F),D) = k4_binop_1(B,C,k3_funct_2(A,B,D,E),k3_funct_2(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t18_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(E,B) & v2_binop_1(E,B) & v1_setwiseo(E,B) & v1_finseqop(E,B) & r6_binop_1(B,F,E) ) => k3_funct_2(B,B,k10_funcop_1(B,B,F,D,k6_partfun1(B)),k7_setwiseo(A,B,E,C,G)) = k7_setwiseo(A,B,E,C,k1_partfun1(A,B,B,B,G,k10_funcop_1(B,B,F,D,k6_partfun1(B)))) ) ) ) ) ) ) ) ) )).
fof(t18_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( m1_scmfsa_2(B) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => ( ( C = k16_scmfsa_2(A,B) | C = k17_scmfsa_2(A,B) ) => k1_sf_mastr(C) = k4_scmfsa_m(A) ) ) ) ) )).
fof(t18_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( ( r1_sfmastr2(B,A,C,D) & r1_xxreal_0(k5_numbers,k1_funct_1(A,C)) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) != 1 & v1_scmfsa_m(C) ) | ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k1_funct_1(A,C),E) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(D)))) = k5_numbers & k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,D,C),E),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) ) ) )).
fof(t18_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & ~ v1_xboole_0(G) & v1_finset_1(G) & v1_afinsq_1(G) & v3_compos_1(G,k1_scmfsa_2) & v4_compos_1(G,k1_scmfsa_2) & v5_amistd_1(G,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(G) ) => ( ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,G,A),E),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(G,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,G,A),E),k1_funct_4(F,k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(G))),k4_scmfsa6a(k4_scmfsa6a(G,k7_scmfsa_2(B,k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(G))),k4_scmfsa_2(k5_numbers)))))) ) => k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,G,A),k1_nat_1(E,1)),k4_scmfsa_2(k5_numbers)) = 1 ) ) ) ) ) ) ) ) )).
fof(t18_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ( r1_tarski(u1_struct_0(B),A) & r1_tarski(u1_sgraph1(B),k2_sgraph1(u1_struct_0(B))) ) ) )).
fof(t18_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => k6_lattices(A) = k1_sheffer1(A) ) )).
fof(t18_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),D),B) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).
fof(t18_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v2_simplex0(A) => v1_finset_1(u1_pre_topc(A)) ) ) )).
fof(t18_simplex1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ( r1_tarski(k3_simplex1(B,C),k2_struct_0(C)) => k2_struct_0(k5_simplex1(A,B,C)) = k2_struct_0(C) ) ) ) ) )).
fof(t18_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & v4_matroid0(B) & v2_simplex2(B,A) & m1_simplex0(B,u1_struct_0(k15_euclid(A))) ) => ( r1_tarski(k3_simplex1(k15_euclid(A),B),k2_struct_0(B)) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(C,k2_simplex2(A,k5_simplex1(D,k15_euclid(A),B))) ) ) ) ) ) ) )).
fof(t18_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,k4_sin_cos(k9_complex1(A)),B)) ) ) )).
fof(t18_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_square_1(k1_funct_1(k1_sin_cos2,A)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k6_xcmplx_0(k1_funct_1(k3_sin_cos2,k3_xcmplx_0(2,A)),1)) & k1_square_1(k1_funct_1(k3_sin_cos2,A)) = k3_xcmplx_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k1_funct_1(k3_sin_cos2,k3_xcmplx_0(2,A)),1)) ) ) )).
fof(t18_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k10_funct_2(k2_numbers,k2_numbers,k4_sin_cos3,k3_xcmplx_0(k7_complex1,A)) = k7_partfun1(k2_numbers,k2_sin_cos3,A) ) )).
fof(t18_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k6_xcmplx_0(k19_sin_cos(A),k19_sin_cos(B)) = k4_xcmplx_0(k3_xcmplx_0(2,k3_xcmplx_0(k17_sin_cos(k7_xcmplx_0(k2_xcmplx_0(A,B),2)),k17_sin_cos(k7_xcmplx_0(k6_xcmplx_0(A,B),2))))) ) ) )).
fof(t18_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ( k19_sin_cos(A) != k5_numbers => k1_sin_cos4(k3_xcmplx_0(3,A)) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,k1_sin_cos4(A)),k1_newton(k1_sin_cos4(A),3)),k6_xcmplx_0(1,k3_xcmplx_0(3,k1_square_1(k1_sin_cos4(A))))) ) ) )).
fof(t18_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(A,k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) ) => r1_xxreal_0(k5_numbers,k19_sin_cos(A)) ) ) ) )).
fof(t18_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(k7_xcmplx_0(k3_xcmplx_0(2,A),k6_xcmplx_0(1,k1_square_1(A))),k5_numbers) ) ) )).
fof(t18_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k7_xcmplx_0(k2_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)),k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) = k6_sin_cos2(k2_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2))) & k7_xcmplx_0(k6_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)),k2_xcmplx_0(k4_sin_cos2(A),k4_sin_cos2(B))) = k6_sin_cos2(k6_xcmplx_0(k7_xcmplx_0(A,2),k7_xcmplx_0(B,2))) ) ) ) )).
fof(t18_sin_cos9,axiom,( k1_funct_1(k27_sin_cos,k7_xcmplx_0(k28_sin_cos,4)) = 1 & k2_sin_cos4(k7_xcmplx_0(k28_sin_cos,4)) = 1 & k1_funct_1(k27_sin_cos,k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)) = k4_xcmplx_0(1) & k2_sin_cos4(k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)) = k4_xcmplx_0(1) )).
fof(t18_sincos10,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(t18_sppol_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,D)) & r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,D)) & k17_euclid(B) = k17_euclid(C) ) => ( k18_euclid(B) = k18_euclid(C) | v2_sppol_1(k1_rltopsp1(k15_euclid(2),A,D)) ) ) ) ) ) ) )).
fof(t18_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(2,k3_finseq_1(A)) => r1_tarski(k10_xtuple_0(A),k3_topreal1(2,A)) ) ) )).
fof(t18_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( k10_pscomp_1(A) = k13_pscomp_1(A) => v2_sppol_1(A) ) ) )).
fof(t18_sprect_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,C)) & r1_xxreal_0(k18_euclid(A),k18_euclid(B)) & r1_xxreal_0(k18_euclid(C),k18_euclid(B)) & A != B & B != C & ~ ( k18_euclid(A) = k18_euclid(B) & k18_euclid(C) = k18_euclid(B) ) ) ) ) ) )).
fof(t18_sprect_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(A,k4_finseq_1(C)) & r2_tarski(B,k4_finseq_1(C)) ) => r1_tarski(k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),C,A,B)),k3_topreal1(2,C)) ) ) ) ) )).
fof(t18_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t18_square_1,axiom,( k3_square_1(1) = 1 )).
fof(t18_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ( v3_srings_1(a_3_1_srings_1(A,B,C),C) & m1_subset_1(a_3_1_srings_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(C))) ) ) ) )).
fof(t18_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_stacks_1(A,B,C) => ( r1_stacks_1(A,B) | k6_stacks_1(A,B) = k6_stacks_1(A,C) ) ) ) ) ) )).
fof(t18_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ( ( v2_funct_2(C,k5_card_1(A)) & v1_stirl2_1(C,B,A) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(A,D) => r1_xxreal_0(D,k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(D)))) ) ) ) ) ) ) )).
fof(t18_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k16_substut1(A),k38_substut1(A)) => r2_relset_1(k3_qc_lang1(A),B,k3_sublemma(A,D,B,C),k3_sublemma(A,k5_sublemma(A,D),B,C)) ) ) ) ) )).
fof(t18_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( r1_tarski(B,k3_subset_1(A,B)) <=> B = k1_subset_1(A) ) ) )).
fof(t18_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k4_partfun1(A,B))) => ( r1_tarski(C,D) => r1_tarski(k4_substlat(A,B,E,C),k4_substlat(A,B,E,D)) ) ) ) ) )).
fof(t18_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => k28_substut1(A,k21_substut1(A,B,C)) = B ) ) ) ) )).
fof(t18_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ! [C] : ( m1_subset_1(C,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,C))) ) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => k7_cqc_sim1(A,k6_cqc_lang(A,B)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k6_cqc_lang(A,B),C))) ) ) ) ) )).
fof(t18_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k6_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => r1_xxreal_0(k3_supinf_2(k11_supinf_2(k6_numbers,A,B,D),k11_supinf_2(k6_numbers,A,C,E)),k11_supinf_2(k6_numbers,A,k5_supinf_2(B,C),k13_supinf_2(A,B,C,D,E))) ) ) ) ) ) )).
fof(t18_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ~ r1_orders_2(B,D,C) & F != k4_struct_0(A) & k1_symsp_1(A,B,k3_vectsp_1(A,B,F,C),D,E) != k1_symsp_1(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(t18_sysrel,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r1_tarski(k4_relat_1(A),k2_xboole_0(B,k2_relat_1(B))) => ( r1_tarski(k4_relat_1(A),B) & r1_tarski(k4_relat_1(A),k2_relat_1(B)) ) ) ) )).
fof(t18_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & v2_metric_1(B,A) & v4_metric_1(B,A) ) => ( v1_partfun1(k1_taxonom1(A,B,C),A) & v1_relat_2(k1_taxonom1(A,B,C)) & v3_relat_2(k1_taxonom1(A,B,C)) & m1_subset_1(k1_taxonom1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) ) ) )).
fof(t18_taxonom2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( ( r2_tarski(D,C) & r1_tarski(B,D) ) => ! [E] : ( m1_eqrel_1(E,A) => ( ( r2_tarski(B,E) & ! [F] : ~ ( r2_tarski(F,E) & ~ r1_tarski(F,D) & ~ r1_tarski(D,F) & ~ r1_xboole_0(D,F) ) ) => ! [F] : ( ! [G] : ( r2_tarski(G,F) <=> ( r2_tarski(G,E) & r1_tarski(G,D) ) ) => ( m1_eqrel_1(k2_xboole_0(F,k7_subset_1(k1_zfmisc_1(A),C,k1_tarski(D))),A) & r1_setfam_1(k2_xboole_0(F,k7_subset_1(k1_zfmisc_1(A),C,k1_tarski(D))),C) ) ) ) ) ) ) ) ) )).
fof(t18_taylor_1,axiom,( r2_relset_1(k1_numbers,k1_numbers,k3_taylor_1,k2_partfun2(k1_numbers,k1_numbers,k22_sin_cos)) & v2_funct_1(k3_taylor_1) & k1_relset_1(k1_numbers,k3_taylor_1) = k3_limfunc1(k5_numbers) & k2_relset_1(k1_numbers,k3_taylor_1) = k1_numbers & r2_fdiff_1(k3_taylor_1,k3_limfunc1(k5_numbers)) & ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_fdiff_1(k3_taylor_1,A) ) ) & ! [A] : ( m2_subset_1(A,k1_numbers,k3_limfunc1(k5_numbers)) => k1_fdiff_1(k3_taylor_1,A) = k7_xcmplx_0(1,A) ) & ! [A] : ( m2_subset_1(A,k1_numbers,k3_limfunc1(k5_numbers)) => ~ r1_xxreal_0(k1_fdiff_1(k3_taylor_1,A),k5_numbers) ) )).
fof(t18_taylor_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( r2_fdiff_1(A,B) => k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,A),B) = k32_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(A,B)) ) ) ) )).
fof(t18_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ( v5_tbsp_1(A) <=> v6_tbsp_1(k2_struct_0(A),A) ) ) )).
fof(t18_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v5_tops_1(k1_struct_0(A),A) ) )).
fof(t18_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => v1_tops_2(k1_tdlat_2(A,B),A) ) ) )).
fof(t18_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(B,A) & B != k1_xboole_0 & B != u1_struct_0(A) ) ) ) ) )).
fof(t18_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k4_polynom1(A,C,k5_termord(A,B,C,D),k3_termord(A,B,C,D)) = k4_polynom1(A,C,D,k3_termord(A,B,C,D)) ) ) ) ) )).
fof(t18_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_tops_1(A,B) = B ) => v1_tdlat_3(A) ) ) )).
fof(t18_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_pre_topc(k1_tex_2(A,B)) => ( v1_tdlat_3(k1_tex_2(A,B)) & v2_tdlat_3(k1_tex_2(A,B)) ) ) ) ) )).
fof(t18_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( v1_tops_3(D,B) <=> v1_tops_3(C,A) ) ) ) ) ) ) )).
fof(t18_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_tarski(k6_domain_1(u1_struct_0(A),B),k2_tex_4(A,B)) ) ) )).
fof(t18_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v1_xboole_0(B) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_subset_1(B,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(D,A,k3_topmetr) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),D,B) = k1_tarski(k5_numbers) & k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),D,C) = k1_tarski(1) ) ) ) ) ) => v10_pre_topc(A) ) ) )).
fof(t18_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_convex1(E,k15_euclid(A)) & ~ v2_tops_1(E,k15_euclid(A)) & v2_compts_1(E,k15_euclid(A)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [F] : ( ( v1_convex1(F,k15_euclid(B)) & ~ v2_tops_1(F,k15_euclid(B)) & v2_compts_1(F,k15_euclid(B)) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) ) => ! [G] : ( ( v1_convex1(G,k15_euclid(k2_xcmplx_0(A,B))) & ~ v2_tops_1(G,k15_euclid(k2_xcmplx_0(A,B))) & v2_compts_1(G,k15_euclid(k2_xcmplx_0(A,B))) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k15_euclid(k2_xcmplx_0(A,B))))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(C),u1_struct_0(k1_pre_topc(k15_euclid(A),E))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k1_pre_topc(k15_euclid(A),E))))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(D),u1_struct_0(k1_pre_topc(k15_euclid(B),F))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(k1_pre_topc(k15_euclid(B),F))))) ) => ~ ( v3_tops_2(H,C,k1_pre_topc(k15_euclid(A),E)) & v3_tops_2(I,D,k1_pre_topc(k15_euclid(B),F)) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_borsuk_1(C,D)),u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),G))) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(C,D)),u1_struct_0(k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),G))))) ) => ~ ( v3_tops_2(J,k2_borsuk_1(C,D),k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),G)) & ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => ! [L] : ( m1_subset_1(L,u1_struct_0(D)) => ( ( r2_tarski(k3_funct_2(u1_struct_0(C),u1_struct_0(k1_pre_topc(k15_euclid(A),E)),H,K),k1_tops_1(k15_euclid(A),E)) & r2_tarski(k3_funct_2(u1_struct_0(D),u1_struct_0(k1_pre_topc(k15_euclid(B),F)),I,L),k1_tops_1(k15_euclid(B),F)) ) <=> r2_tarski(k1_binop_1(J,K,L),k1_tops_1(k15_euclid(k2_xcmplx_0(A,B)),G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( m1_pre_topc(B,C) => ( ( r1_tsep_1(B,D) & r1_tsep_1(D,B) ) | ( ~ r1_tsep_1(C,D) & ~ r1_tsep_1(D,C) ) ) ) ) ) ) ) )).
fof(t18_toler_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( m1_toler_1(B,A,C) => r1_tarski(B,A) ) ) )).
fof(t18_topalg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(k15_euclid(A),k17_borsuk_1)),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A),k17_borsuk_1)),u1_struct_0(k15_euclid(A))))) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_borsuk_1)) => k1_binop_1(B,C,D) = k1_rlvect_1(k15_euclid(A),C,D) ) ) => v5_pre_topc(B,k2_borsuk_1(k15_euclid(A),k17_borsuk_1),k15_euclid(A)) ) ) ) )).
fof(t18_topalg_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v1_topalg_2(B,A) & m1_pre_topc(B,k15_euclid(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_borsuk_2(E,B,C,D) => ! [F] : ( m1_borsuk_2(F,B,C,D) => m1_borsuk_6(k1_topalg_2(A,B,E,F),B,C,D,E,F) ) ) ) ) ) ) )).
fof(t18_topalg_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(A,k1_pre_topc(B,D))),u1_struct_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k1_pre_topc(B,D))),u1_struct_0(C)))) ) => ( ( F = k2_partfun1(u1_struct_0(k2_borsuk_1(A,B)),u1_struct_0(C),E,k2_zfmisc_1(u1_struct_0(A),D)) & v5_pre_topc(E,k2_borsuk_1(A,B),C) ) => v5_pre_topc(F,k2_borsuk_1(A,k1_pre_topc(B,D)),C) ) ) ) ) ) ) ) )).
fof(t18_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_6(I,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) => ! [J] : ( m1_borsuk_2(J,B,E,F) => ! [K] : ( m1_borsuk_2(K,B,E,F) => ( ( r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),J,k4_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),K,k4_topalg_4(A,B,k5_topmetr,H)) & r3_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) ) => m1_borsuk_6(k4_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),I),B,E,F,J,K) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_6(F,A,B,C,D,E) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ( v5_pre_topc(F,k2_borsuk_1(k5_topmetr,k5_topmetr),A) => v5_pre_topc(k3_topalg_5(k5_topmetr,k5_topmetr,A,F,G),k5_topmetr,A) ) ) ) ) ) ) ) ) )).
fof(t18_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_borsuk_2(E,A,B,B) => ! [F] : ( m1_borsuk_2(F,C,D,D) => ( ( B = D & r1_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),u1_struct_0(k5_topmetr),u1_struct_0(C),E,F) & v3_topalg_6(F,C,D) ) => v3_topalg_6(E,A,B) ) ) ) ) ) ) ) )).
fof(t18_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_topdim_1(k1_pre_topc(A,B)) => v1_topdim_1(B,A) ) ) ) )).
fof(t18_topdim_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(1))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k9_finseq_1(C) = A => ( r1_xxreal_0(B,k5_numbers) | k2_tops_1(k15_euclid(1),k1_topreal9(1,A,B)) = k2_tarski(k9_finseq_1(k3_xxreal_3(C,B)),k9_finseq_1(k1_xxreal_3(C,B))) ) ) ) ) ) )).
fof(t18_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_topgen_1(A,B)) <=> ! [D] : ( ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,k9_subset_1(u1_struct_0(A),B,E)) & C != F ) ) ) ) ) ) ) ) ) )).
fof(t18_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ? [C] : ( v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & r1_tarski(C,B) & k1_card_1(C) = k2_waybel23(A) ) ) ) )).
fof(t18_topgen_3,axiom,( ! [A] : ( ( v4_taxonom2(A) & ! [B] : ~ ( r2_tarski(B,A) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,C) & r1_tarski(k2_rcomp_1(C,D),B) ) ) ) ) ) => v4_card_3(A) ) )).
fof(t18_topgen_4,axiom,( ! [A] : ( v1_xboole_0(k1_xboole_0) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(A))) ) )).
fof(t18_topgen_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r2_tarski(k19_euclid(A,B),k2_topgen_5) <=> r1_xxreal_0(k5_numbers,B) ) ) ) )).
fof(t18_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k2_tops_2(u1_struct_0(A),u1_struct_0(A),k1_topgrp_1(A,B)),k1_topgrp_1(A,k2_group_1(A,B))) ) ) )).
fof(t18_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => u1_struct_0(k4_topmetr(A,B)) = k1_rcomp_1(A,B) ) ) ) )).
fof(t18_topreal1,axiom,( k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) = k1_tarski(k19_euclid(1,1)) )).
fof(t18_topreal3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(C,k4_finseq_1(A)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) ) => k2_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B),C) = k2_topreal1(2,A,C) ) ) ) ) )).
fof(t18_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( A != k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & v4_topreal1(B) & r2_tarski(A,k3_topreal1(2,B)) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( v4_topreal1(C) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) = A & r1_topreal4(k3_topreal1(2,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,C),k3_topreal1(2,B)) ) ) ) ) ) )).
fof(t18_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( v1_topreal2(A) & k25_pscomp_1(A) = k21_pscomp_1(A) ) ) )).
fof(t18_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => k1_metric_1(k1_topreal7(A,B),k2_topreal7(A,B,C,E),k2_topreal7(A,B,D,F)) = k4_xxreal_0(k1_metric_1(A,C,D),k1_metric_1(B,E,F)) ) ) ) ) ) ) )).
fof(t18_topreal8,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ( ( ~ v1_zfmisc_1(C) & m2_finseq_1(C,A) ) => ( ( k7_partfun1(A,C,1) = k7_partfun1(A,B,k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,D) & ~ r1_xxreal_0(k3_finseq_1(B),D) & k7_partfun1(A,B,D) = k7_partfun1(A,C,1) ) ) ) => k1_finseq_6(A,k4_graph_2(A,B,C),k7_partfun1(A,C,1)) = k4_graph_2(A,C,B) ) ) ) ) )).
fof(t18_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k4_subset_1(u1_struct_0(k15_euclid(A)),k1_topreal9(A,C,B),k3_topreal9(A,C,B)) = k2_topreal9(A,C,B) ) ) ) )).
fof(t18_topreala,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,A) = k4_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C)) & v3_rcomp_1(k1_relset_1(k1_numbers,B)) & v3_rcomp_1(k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,k1_relset_1(k1_numbers,B))) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_relset_1(k1_numbers,C))) & ! [D] : ( r2_tarski(D,k1_relset_1(k1_numbers,B)) => k1_funct_1(A,D) = k1_funct_1(B,D) ) & ! [D] : ( r2_tarski(D,k1_relset_1(k1_numbers,C)) => k1_funct_1(A,D) = k1_funct_1(C,D) ) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,A,k1_relset_1(k1_numbers,A))) ) ) ) ) )).
fof(t18_toprealb,axiom,( m1_pre_topc(k8_toprealb(2),k1_topreala(k4_xcmplx_0(1),1,k4_xcmplx_0(1),1)) )).
fof(t18_toprealc,axiom,( ! [A] : ( v1_xreal_0(A) => k12_euclid(k9_finseq_1(A)) = k9_complex1(A) ) )).
fof(t18_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k4_toprns_1(A,B,k3_toprns_1(A,C)) = k1_toprns_1(A,B,C) ) ) ) )).
fof(t18_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => k1_tops_1(A,k1_struct_0(A)) = k1_struct_0(A) ) )).
fof(t18_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_tops_2(B,A) => v2_tops_2(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A) ) ) ) ) )).
fof(t18_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(B,A) <=> v2_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t18_tops_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k15_euclid(A))))) ) => ( v5_pre_topc(C,B,k15_euclid(A)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_xreal_0(E) & v2_xxreal_0(E) ) => ? [F] : ( v3_pre_topc(F,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(D,F) & r1_tarski(k7_relset_1(u1_struct_0(B),u1_struct_0(k15_euclid(A)),C,F),k1_topreal9(A,k3_funct_2(u1_struct_0(B),u1_struct_0(k15_euclid(A)),C,D),E)) ) ) ) ) ) ) ) )).
fof(t18_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( ( r2_transgeo(A,B,D) & r2_transgeo(A,C,D) ) => r2_transgeo(A,k1_transgeo(A,B,C),D) ) ) ) ) ) )).
fof(t18_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ( v3_tops_2(k3_treal_1(A,B,k2_treal_1(A,B),k1_treal_1(A,B)),k4_topmetr(k5_numbers,1),k4_topmetr(A,B)) & r2_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k2_tops_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),k3_treal_1(A,B,k2_treal_1(A,B),k1_treal_1(A,B))),k4_treal_1(A,B,k2_treal_1(k5_numbers,1),k1_treal_1(k5_numbers,1))) & v3_tops_2(k4_treal_1(A,B,k2_treal_1(k5_numbers,1),k1_treal_1(k5_numbers,1)),k4_topmetr(A,B),k4_topmetr(k5_numbers,1)) & r2_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(A,B)),k2_tops_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(k5_numbers,1)),k4_treal_1(A,B,k2_treal_1(k5_numbers,1),k1_treal_1(k5_numbers,1))),k3_treal_1(A,B,k2_treal_1(A,B),k1_treal_1(A,B))) ) ) ) ) )).
fof(t18_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r2_tarski(B,k1_trees_1(A)) & r2_tarski(C,k1_trees_1(A)) ) => r3_xboole_0(B,C) ) ) ) ) )).
fof(t18_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ( v1_trees_2(A) => v1_finset_1(k1_trees_2(A,B)) ) ) ) )).
fof(t18_trees_3,axiom,( ! [A] : ! [B] : ( ( v1_trees_3(A) & r1_tarski(B,A) ) => v1_trees_3(B) ) )).
fof(t18_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( v1_xboole_0(k7_trees_9(A,B)) <=> ( v1_zfmisc_1(A) & ~ r2_tarski(k1_funct_1(A,k1_xboole_0),B) ) ) ) )).
fof(t18_tsep_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tsep_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_tsep_1(C,B) & m1_pre_topc(C,B) ) => ( v1_tsep_1(C,A) & m1_pre_topc(C,A) ) ) ) ) )).
fof(t18_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tsep_2(A,B,D) & r2_tsep_2(A,C,E) & r1_xboole_0(B,C) & r2_tsep_1(A,D,E) ) => r1_connsp_1(A,B,C) ) ) ) ) ) ) )).
fof(t18_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_tsp_1(B,A) & ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & v6_pre_topc(C) & m1_pre_topc(C,A) ) => B != u1_struct_0(C) ) ) ) ) )).
fof(t18_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = u1_struct_0(B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k9_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)) = k6_domain_1(u1_struct_0(B),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(t18_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_turing_1(k3_finseq_4(k4_ordinal1,C,D,E),A,B) => ( r1_turing_1(A,B,C,k1_nat_1(k1_nat_1(C,D),2)) & r1_turing_1(A,B,k1_nat_1(k1_nat_1(C,D),2),k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4)) ) ) ) ) ) ) ) )).
fof(t18_twoscomp,axiom,( k1_funct_1(k10_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k10_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,1)) = k5_numbers & k1_funct_1(k10_twoscomp,k11_finseq_1(k5_numbers,1,k5_numbers)) = k5_numbers & k1_funct_1(k10_twoscomp,k11_finseq_1(k5_numbers,1,1)) = k5_numbers & k1_funct_1(k10_twoscomp,k11_finseq_1(1,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k10_twoscomp,k11_finseq_1(1,k5_numbers,1)) = k5_numbers & k1_funct_1(k10_twoscomp,k11_finseq_1(1,1,k5_numbers)) = k5_numbers & k1_funct_1(k10_twoscomp,k11_finseq_1(1,1,1)) = 1 )).
fof(t18_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => k7_unialg_2(A,k2_subset_1(u1_struct_0(A))) = A ) )).
fof(t18_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_unialg_1(B) & m1_unialg_2(B,A) ) => k5_unialg_2(A,k7_unialg_2(A,k6_unialg_2(A)),B) = k7_unialg_2(A,k6_unialg_2(A)) ) ) )).
fof(t18_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => k7_group_1(k1_uniroots(A)) = k6_xcmplx_0(k7_group_1(A),1) ) )).
fof(t18_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( ~ r1_xxreal_0(k1_algseq_1(A,B),k5_numbers) & k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)) = k4_struct_0(A) ) ) ) )).
fof(t18_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => m1_connsp_2(B,A,C) ) ) => v3_pre_topc(B,A) ) ) ) )).
fof(t18_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k6_numbers) => ( ( B = C & r1_xxreal_0(k5_numbers,C) ) => k8_supinf_2(k1_integra2(A,B)) = k1_extreal1(C,k8_supinf_2(A)) ) ) ) ) )).
fof(t18_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( m2_urysohn3(D,A,B,C) => ( v5_pre_topc(k4_urysohn3(A,B,C,D),A,k3_topmetr) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_xxreal_0(k5_numbers,k12_supinf_2(k4_urysohn3(A,B,C,D),E)) & r1_xxreal_0(k12_supinf_2(k4_urysohn3(A,B,C,D),E),1) & ( r2_tarski(E,B) => k12_supinf_2(k4_urysohn3(A,B,C,D),E) = k5_numbers ) & ( r2_tarski(E,C) => k12_supinf_2(k4_urysohn3(A,B,C,D),E) = 1 ) ) ) ) ) ) ) ) ) ) )).
fof(t18_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_valuat_1(F,A,B) => ( r1_valuat_1(A,B,k7_cqc_lang(A,D,E),F,C) <=> ( r1_valuat_1(A,B,D,F,C) & r1_valuat_1(A,B,E,F,C) ) ) ) ) ) ) ) ) )).
fof(t18_valued_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) & ~ v1_xboole_0(A) & v4_valued_0(A) ) => ? [B] : ( v7_ordinal1(B) & ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = B ) ) ) )).
fof(t18_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : k1_funct_1(k54_valued_1(A),B) = k9_complex1(k1_funct_1(A,B)) ) )).
fof(t18_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k45_valued_1(A,B) = k30_valued_1(k45_valued_1(B,A)) ) ) )).
fof(t18_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [F] : ( m1_vectsp_4(F,A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))) => ( ( C = E & D = F ) => ( r1_struct_0(D,C) | ! [G] : ( m1_subset_1(G,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ? [H] : ( m1_subset_1(H,u1_struct_0(D)) & ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),G,F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(D),u1_struct_0(B),H,k3_vectsp_1(A,B,I,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_vectsp11,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_vectsp11(A,B,k5_numbers),k3_struct_0(A)) ) ) )).
fof(t18_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k5_algstr_0(A,k4_struct_0(A),B) = k4_algstr_0(A,B) & k5_algstr_0(A,B,k4_struct_0(A)) = B ) ) ) )).
fof(t18_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( C != k4_struct_0(A) & D != k4_struct_0(A) & k12_algstr_0(A,B,C) != k12_algstr_0(A,k6_algstr_0(A,B,D),k6_algstr_0(A,C,D)) ) ) ) ) ) )).
fof(t18_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => r1_struct_0(D,k4_struct_0(C)) ) ) ) ) )).
fof(t18_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( m1_vectsp_4(C,A,E) => m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,E) ) ) ) ) ) ) )).
fof(t18_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C != D => ! [E] : ( m2_vectsp_6(E,A,B,k7_domain_1(u1_struct_0(B),C,D)) => k4_vectsp_6(A,B,E) = k3_rlvect_1(B,k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) ) ) ) ) ) ) )).
fof(t18_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k1_vectsp_7(A,B,C) = B & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r1_tarski(D,C) & v1_vectsp_7(D,A,B) & k1_vectsp_7(A,B,D) = B ) ) ) ) ) ) )).
fof(t18_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( r1_struct_0(k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),C,D)),E) & ~ r1_struct_0(k1_vectsp_7(A,B,D),E) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( r2_tarski(F,C) & r1_struct_0(k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),k7_subset_1(u1_struct_0(B),k4_subset_1(u1_struct_0(B),C,D),k6_domain_1(u1_struct_0(B),F)),k6_domain_1(u1_struct_0(B),E))),F) ) ) ) ) ) ) ) ) )).
fof(t18_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k4_vfunct_1(A,B,C,1),C) ) ) ) )).
fof(t18_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_2(A,B,C,k6_complex1),C) ) ) ) )).
fof(t18_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( v7_ordinal1(K) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,k1_vfunct_1(u1_struct_0(C),D,k1_vsdiff_1(u1_struct_0(C),B,D,E,I),k1_vsdiff_1(u1_struct_0(C),B,D,F,J))),k1_nat_1(K,1)),G) = k3_rlvect_1(D,k3_vectsp_1(B,D,I,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,E),k1_nat_1(K,1)),G)),k3_vectsp_1(B,D,J,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,H,D,F),k1_nat_1(K,1)),G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t18_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_yellow_0(B,A) & v7_yellow_0(B,A) & m1_yellow_0(B,A) ) => k1_yellow_2(A,A,k6_waybel10(A,B)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) ) ) )).
fof(t18_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_waybel_0(A,B,k6_waybel_0(A,D)) => r1_orders_2(A,D,k1_waybel11(A,B)) ) ) ) ) ) )).
fof(t18_waybel12,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_orders_2(A,C,D) => r1_yellow_4(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B),k2_yellow_4(A,k6_domain_1(u1_struct_0(A),D),B)) ) ) ) ) ) )).
fof(t18_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v23_waybel_0(E,A,B) => ( r1_lattice3(A,C,D) <=> r1_lattice3(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),E,C),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) ) ) ) ) ) ) ) )).
fof(t18_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ( k13_lattice3(k1_yellow_1(u1_pre_topc(A)),B,C) = k2_xboole_0(B,C) & k12_lattice3(k1_yellow_1(u1_pre_topc(A)),B,C) = k3_xboole_0(B,C) ) ) ) ) )).
fof(t18_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( ~ ( v3_waybel_3(A) & ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))) & v6_waybel_1(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))))) ) => ~ ( v22_waybel_0(C,k2_yellow_1(B),k2_yellow_1(B)) & r5_waybel_1(A,k1_yellow_2(k2_yellow_1(B),k2_yellow_1(B),C)) ) ) ) ) & ( ? [B] : ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))) & v6_waybel_1(C,k2_yellow_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_yellow_1(B)),u1_struct_0(k2_yellow_1(B))))) & v22_waybel_0(C,k2_yellow_1(B),k2_yellow_1(B)) & r5_waybel_1(A,k1_yellow_2(k2_yellow_1(B),k2_yellow_1(B),C)) ) => v3_waybel_3(A) ) ) ) )).
fof(t18_waybel16,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => v3_lattice3(k1_yellow_1(k8_waybel_0(A))) ) )).
fof(t18_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v8_waybel_0(D,A) & l1_waybel_0(D,A) ) => ( v5_orders_3(C,A,B) => v8_waybel_0(k6_waybel_9(A,B,C,D),B) ) ) ) ) ) )).
fof(t18_waybel18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ? [B] : ( ~ v1_xboole_0(B) & ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_waybel18(B,k7_funcop_1(B,k9_waybel18)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_waybel18(B,k7_funcop_1(B,k9_waybel18)))))) & v3_tops_2(k8_waybel18(A,k3_waybel18(B,k7_funcop_1(B,k9_waybel18)),C),A,k7_waybel18(A,k3_waybel18(B,k7_funcop_1(B,k9_waybel18)),C)) ) ) ) )).
fof(t18_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_waybel_0(k1_waybel_3(A,C),A) & ~ v1_xboole_0(k1_waybel_3(A,C)) ) ) & v2_waybel_3(A) ) => v2_waybel_3(B) ) ) ) )).
fof(t18_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( ( r5_waybel_1(A,B) & v3_lattice3(A) ) => v3_lattice3(B) ) ) ) )).
fof(t18_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v7_yellow_0(B,A) => v3_lattice3(B) ) ) ) )).
fof(t18_waybel22,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B) ) => ! [C] : ( ( r1_waybel22(B,C) & k1_card_1(C) = k1_card_1(A) ) => r5_waybel_1(B,k1_yellow_1(k8_waybel_0(k2_yellow_1(A)))) ) ) )).
fof(t18_waybel23,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel23(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k1_yellow_0(A,k7_domain_1(u1_struct_0(A),C,D)),B) ) ) ) ) ) ) )).
fof(t18_waybel24,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)),u1_struct_0(C)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( v22_waybel_0(k1_waybel24(A,B,C,D,E),B,C) & v22_waybel_0(k2_waybel24(A,B,C,D,F),A,C) ) ) ) => v22_waybel_0(D,k3_yellow_3(A,B),C) ) ) ) ) ) )).
fof(t18_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))))) ) => ( ( C = D & v3_tops_2(C,A,B) ) => v23_waybel_0(D,k1_waybel25(A),k1_waybel25(B)) ) ) ) ) ) )).
fof(t18_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v1_waybel25(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v3_borsuk_1(D,B,C) => r1_yellow16(k1_waybel26(A,C),k1_waybel26(A,B),k3_waybel26(A,B,C,D)) ) ) ) ) ) )).
fof(t18_waybel27,axiom,( ! [A] : r5_waybel_1(k2_yellow_1(A),k5_yellow_1(A,k2_yellow_1(k1_tarski(k5_numbers)))) )).
fof(t18_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => v5_yellow_6(k3_waybel28(A),A) ) )).
fof(t18_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v4_waybel11(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_waybel_9(B) ) => k1_waybel26(A,B) = k3_waybel24(A,B) ) ) )).
fof(t18_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k2_pre_topc(A,C) = k2_pre_topc(B,D) ) ) ) ) ) )).
fof(t18_waybel31,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_waybel_3(B,A) => B = k2_yellow_0(A,k2_waybel_3(A,B)) ) ) ) )).
fof(t18_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v1_waybel11(B,A) ) ) )).
fof(t18_waybel33,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_waybel33(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v4_pre_topc(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(C,k2_yellow_1(k2_struct_0(A))) & v3_waybel_7(C,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ( r2_tarski(B,C) => r2_tarski(k1_waybel33(A,k2_struct_0(A),C),B) ) ) ) ) ) )).
fof(t18_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A) & k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ) )).
fof(t18_waybel35,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v1_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(D,C) & r2_hidden(k4_tarski(D,D),B) & r1_yellow_0(A,k4_waybel35(A,B,C,D)) ) => D = k1_yellow_0(A,k4_waybel35(A,B,C,D)) ) ) ) ) )).
fof(t18_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k6_waybel_0(A,B)) <=> r1_orders_2(A,B,C) ) ) ) ) )).
fof(t18_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) => ( r1_yellow_2(u1_struct_0(A),A,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D),k3_struct_0(A)) & r1_yellow_2(u1_struct_0(B),B,k3_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) ) ) ) )).
fof(t18_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( v10_waybel_0(B,A) => v1_waybel_0(k2_relset_1(u1_struct_0(A),k1_waybel_0(A,B)),A) ) ) ) )).
fof(t18_waybel_3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_waybel_3(A,B,C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r3_orders_2(A,C,k1_yellow_0(A,D)) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(E,D) & r3_orders_2(A,B,k1_yellow_0(A,E)) ) ) ) ) ) ) ) ) )).
fof(t18_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => r2_tarski(k7_waybel_4(A,B),u1_struct_0(k8_waybel_4(A))) ) ) )).
fof(t18_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( ~ v1_xboole_0(B) => ( r2_tarski(B,k1_yellow_6(u1_struct_0(A))) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( ! [D] : ( m1_subset_1(D,B) => r2_tarski(k1_funct_1(C,D),k1_yellow_6(u1_struct_0(A))) ) => ! [D] : ( m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) => ( ! [E] : ( m1_subset_1(E,B) => v1_waybel_0(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),C,D,E)),A) ) => k5_yellow_2(A,k4_waybel_5(A,D)) = k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),C,D))) ) ) ) ) ) ) => v3_waybel_3(A) ) ) )).
fof(t18_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = k7_subset_1(u1_struct_0(A),k2_waybel_6(A),k6_domain_1(u1_struct_0(A),k4_yellow_0(A))) => v4_waybel_6(B,A) ) ) ) )).
fof(t18_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_waybel_7(B,A) <=> ( ( ~ v1_xboole_0(k3_subset_1(u1_struct_0(A),B)) & v2_waybel_0(k3_subset_1(u1_struct_0(A),B),A) & v13_waybel_0(k3_subset_1(u1_struct_0(A),B),A) & m1_subset_1(k3_subset_1(u1_struct_0(A),B),k1_zfmisc_1(u1_struct_0(A))) ) | k3_subset_1(u1_struct_0(A),B) = k1_xboole_0 ) ) ) ) )).
fof(t18_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & v3_waybel_8(A) ) => v3_waybel_8(B) ) ) ) )).
fof(t18_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_waybel_9(A,A,k4_waybel_1(A,C),B) = k3_waybel_2(A,C,B) ) ) ) )).
fof(t18_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => r1_struct_0(k4_weddwitt(A),k4_struct_0(A)) ) )).
fof(t18_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ~ ( C != k1_xboole_0 & v2_compts_1(C,k3_pcomps_1(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_pcomps_1(A))) => ~ ( r2_tarski(D,C) & k3_funct_2(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,B),D) = k3_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,B),C)) ) ) ) ) ) ) )).
fof(t18_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v4_relat_2(B) => v4_relat_2(k2_wellord1(B,A)) ) ) )).
fof(t18_wellord2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ ( ! [B] : ~ ( r2_tarski(B,A) & B = k1_xboole_0 ) & ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => ( B = C | r1_xboole_0(B,C) ) ) & ! [B] : ? [C] : ( r2_tarski(C,A) & ! [D] : k3_xboole_0(B,C) != k1_tarski(D) ) ) ) )).
fof(t18_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(A,k6_xcmplx_0(B,C)) => ( r1_xxreal_0(A,B) & r1_xxreal_0(C,B) ) ) ) ) ) )).
fof(t18_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(A,k3_xboole_0(B,C)) => r1_tarski(A,B) ) )).
fof(t18_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(k3_xboolean(A),k6_xboolean(A,B)) = k5_xboolean(k3_xboolean(A),k4_xboolean(k3_xboolean(A),B)) ) ) )).
fof(t18_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(A,k6_xcmplx_0(A,B)) = B ) ) )).
fof(t18_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k6_xcmplx_0(A,B),k6_xcmplx_0(C,D)) => r1_xxreal_0(k6_xcmplx_0(D,C),k6_xcmplx_0(B,A)) ) ) ) ) ) )).
fof(t18_xtuple_0,axiom,( ! [A] : ! [B] : ~ ( r2_hidden(A,k13_xtuple_0(B)) & ! [C] : ! [D] : ! [E] : ~ r2_hidden(k6_xtuple_0(A,C,D,E),B) ) )).
fof(t18_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k3_xxreal_0(A,C),k3_xxreal_0(B,D)) ) ) ) ) ) )).
fof(t18_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k2_xxreal_1(A,A) = k1_xboole_0 ) )).
fof(t18_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m2_xxreal_2(A,k3_xxreal_1(A,B)) ) ) )).
fof(t18_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( k3_xxreal_3(A,B) = k1_xxreal_0 & A != k1_xxreal_0 & B != k2_xxreal_0 ) ) ) )).
fof(t18_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_waybel_3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F)) => ( r1_waybel_3(A,C,D) & r1_waybel_3(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t18_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_yellow_0(C,A) => ! [D] : ( m1_yellow_0(D,B) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & g1_orders_2(u1_struct_0(C),u1_orders_2(C)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) & v6_yellow_0(C,A) ) => v6_yellow_0(D,B) ) ) ) ) ) )).
fof(t18_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => m1_yellow13(k9_setfam_1(u1_struct_0(A)),A,B) ) ) )).
fof(t18_yellow14,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ( ~ ( ~ r1_t_0topsp(A,B) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( k1_relset_1(u1_struct_0(A),C) = k2_struct_0(A) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) ) ) ) => ( v2_struct_0(A) <=> v2_struct_0(B) ) ) ) ) )).
fof(t18_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => k5_setfam_1(A,k2_yellow15(A,B)) = A ) )).
fof(t18_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v5_orders_3(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ~ ( r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C),k3_struct_0(B)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & v6_waybel_1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( r2_funct_2(u1_struct_0(A),u1_struct_0(A),E,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D)) & k2_partfun1(u1_struct_0(A),u1_struct_0(A),E,u1_struct_0(k1_yellow_2(A,A,E))) = k3_struct_0(k1_yellow_2(A,A,E)) & r5_waybel_1(B,k1_yellow_2(A,A,E)) ) ) ) ) ) ) ) )).
fof(t18_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C))))) ) => ( r1_tarski(k2_struct_0(k4_waybel18(A,B,C)),k3_tarski(D)) => r1_tarski(k2_struct_0(k3_waybel18(A,B)),k3_tarski(a_4_0_yellow17(A,B,C,D))) ) ) ) ) ) )).
fof(t18_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v11_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v11_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ( ( r2_yellow18(A,B) & r2_yellow18(C,D) & r1_functor0(A,C) ) => r1_functor0(B,D) ) ) ) ) ) )).
fof(t18_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k2_pre_topc(A,C)) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_subset_1(D,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(D,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(D,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) ) => ( D = k1_yellow19(A,B) => r2_waybel_0(A,k3_yellow19(A,k2_struct_0(A),D),C) ) ) ) ) ) ) )).
fof(t18_yellow20,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k2_zfmisc_1(A,A)) & v1_funct_1(C) & v1_partfun1(C,k2_zfmisc_1(A,A)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k2_zfmisc_1(A,A)) & v1_funct_1(D) & v1_partfun1(D,k2_zfmisc_1(A,A)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k2_zfmisc_1(B,B)) & v1_funct_1(E) & v1_partfun1(E,k2_zfmisc_1(B,B)) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k2_zfmisc_1(B,B)) & v1_funct_1(F) & v1_partfun1(F,k2_zfmisc_1(B,B)) ) => ? [G] : ( v1_relat_1(G) & v4_relat_1(G,k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(A,B))) & v1_funct_1(G) & v1_partfun1(G,k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(A,B))) & ? [H] : ( v1_relat_1(H) & v4_relat_1(H,k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(A,B))) & v1_funct_1(H) & v1_partfun1(H,k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(A,B))) & G = k1_yellow20(C,E) & H = k1_yellow20(D,F) & k1_yellow20(k3_altcat_1(A,C,D),k3_altcat_1(B,E,F)) = k3_altcat_1(k3_xboole_0(A,B),G,H) ) ) ) ) ) ) )).
fof(t18_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_yellow21(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_yellow21(A))) => ! [D] : ( r2_tarski(D,k1_altcat_1(k7_yellow21(A),B,C)) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_yellow21(k7_yellow21(A),B)),u1_struct_0(k4_yellow21(k7_yellow21(A),C))) & v22_waybel_0(D,k4_yellow21(k7_yellow21(A),B),k4_yellow21(k7_yellow21(A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k7_yellow21(A),B)),u1_struct_0(k4_yellow21(k7_yellow21(A),C))))) ) ) ) ) ) )).
fof(t18_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( ( D = k10_lattice3(A,B,C) & r1_yellow_0(A,k2_tarski(B,C)) ) => ( r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,B,E) & r1_orders_2(A,C,E) ) => r1_orders_2(A,D,E) ) ) ) ) & ( ( r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,B,E) & r1_orders_2(A,C,E) ) => r1_orders_2(A,D,E) ) ) ) => ( D = k10_lattice3(A,B,C) & r1_yellow_0(A,k2_tarski(B,C)) ) ) ) ) ) ) ) )).
fof(t18_yellow_1,axiom,( ! [A] : k3_yellow_0(k2_yellow_1(A)) = k1_xboole_0 )).
fof(t18_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v11_quantal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)) = k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) ) ) ) ) )).
fof(t18_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( v1_lattice3(k3_yellow_3(A,B)) => ( v1_lattice3(A) & v1_lattice3(B) ) ) ) ) )).
fof(t18_yellow_4,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_yellow_4(A,k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),B,D)),k4_subset_1(u1_struct_0(A),B,k2_yellow_4(A,C,D))) ) ) ) ) )).
fof(t18_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v2_waybel_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_yellow_5(A,k13_lattice3(A,B,C),D) = k13_lattice3(A,k1_yellow_5(A,B,D),k1_yellow_5(A,C,D)) ) ) ) ) ) )).
fof(t18_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m2_yellow_6(C,A,B) => ! [D] : ( r2_waybel_0(A,C,D) => r2_waybel_0(A,B,D) ) ) ) ) )).
fof(t18_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_lattice3(A)))) => ( B = C => ( k12_waybel_0(A,B) = k11_waybel_0(k7_lattice3(A),C) & k11_waybel_0(A,B) = k12_waybel_0(k7_lattice3(A),C) ) ) ) ) ) )).
fof(t18_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_yellow_8(A,k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)),B) ) ) )).
fof(t18_yellow_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( B = k2_tarski(k1_xboole_0,A) => ( k1_cantor_1(A,B) = B & k2_cantor_1(A,B) = B ) ) ) )).
fof(t18_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ~ v1_xboole_0(C) => ( ( v8_zf_fund1(B,A) & r2_tarski(C,B) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k5_zf_fund1(k3_zf_lang(D,E),C),B) & r2_tarski(k5_zf_fund1(k4_zf_lang(D,E),C),B) ) ) ) ) ) ) ) )).
fof(t18_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v2_zf_lang(A) => k1_funct_1(A,1) = k5_numbers ) ) )).
fof(t18_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( k16_zf_lang(B,C,D,A) = k12_zf_lang(B,k12_zf_lang(C,k12_zf_lang(D,A))) & k16_zf_lang(B,C,D,A) = k14_zf_lang(B,C,k12_zf_lang(D,A)) ) ) ) ) ) )).
fof(t18_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r1_zf_model(A,B,k10_zf_lang(C,D)) <=> ( r1_zf_model(A,B,C) => r1_zf_model(A,B,D) ) ) ) ) ) ) )).
fof(t18_zf_refle,axiom,( ! [A] : r1_tarski(k3_ordinal2(A),k1_ordinal1(k3_tarski(k2_ordinal1(A)))) )).
fof(t18_zfmisc_1,axiom,( ! [A] : ! [B] : ( r1_tarski(k1_tarski(A),k1_tarski(B)) => A = B ) )).
fof(t18_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ( v1_ordinal1(A) & ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => r2_tarski(k2_tarski(B,C),A) ) ) & ! [B] : ( m1_subset_1(B,A) => r2_tarski(k3_tarski(B),A) ) & ! [B] : ( m1_subset_1(B,A) => r2_tarski(k3_xboole_0(A,k1_zfmisc_1(B)),A) ) & ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(B)) & r1_zf_model(A,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) ) => ! [D] : ( m1_subset_1(D,A) => r2_tarski(k7_relset_1(A,A,k1_zfmodel1(B,A,C),D),A) ) ) ) ) ) => ( ! [B] : ( m1_subset_1(B,A) => ~ ( B != k1_xboole_0 & ! [C] : ( m1_subset_1(C,A) => ~ ( r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,A) => ~ ( r2_xboole_0(C,D) & r2_tarski(D,B) ) ) ) ) ) ) | v1_zf_model(A) ) ) ) )).
fof(t18_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r1_zfmodel1(B,A) & r1_zfmodel1(C,A) ) => r1_zfmodel1(k3_relat_1(C,B),A) ) ) ) ) )).
fof(t18_zfrefle1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => r1_tarski(k10_xtuple_0(A),k4_ordinal2(A)) ) )).
fof(t18_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_zmodul01(B,A) => ( B = k1_xboole_0 | r2_tarski(k4_struct_0(A),B) ) ) ) ) )).
fof(t18_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( B != k1_xboole_0 & v7_zmodul01(B,A) ) <=> ! [C] : ( m2_zmodul02(C,A,B) => r2_tarski(k21_zmodul02(A,C),B) ) ) ) ) )).
fof(t18_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul03(B,A) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( D = k4_subset_1(u1_struct_0(A),B,C) & v1_zmodul02(D,A) ) ) ) ) ) ) )).
fof(t18_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_zmodul02(B,A) & r1_tarski(B,C) & v1_zmodul02(C,A) ) ) ) ) )).
fof(t18_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_algstr_0(A,D,E)) ) ) ) ) ) )).
fof(t18_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( v1_zmodul02(B,A) & r2_tarski(C,B) & v1_zmodul06(C,A) ) ) ) ) )).
fof(t190_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xxreal_0(C) => r1_tarski(k6_subset_1(k22_member_1(A,C),k22_member_1(B,C)),k22_member_1(k6_subset_1(A,B),C)) ) ) ) )).
fof(t190_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(A),B)) = k7_xcmplx_0(A,B) ) ) )).
fof(t190_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(A,B) & r1_xxreal_0(1,k7_xcmplx_0(A,B)) ) ) ) )).
fof(t190_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(B,C) => k6_subset_1(k1_xxreal_1(A,C),k1_xxreal_1(B,C)) = k2_xxreal_1(A,B) ) ) ) ) )).
fof(t191_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => ( C != k5_numbers => k22_member_1(k6_subset_1(A,B),C) = k6_subset_1(k22_member_1(A,C),k22_member_1(B,C)) ) ) ) ) )).
fof(t191_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k7_xcmplx_0(A,B) ) ) )).
fof(t191_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(A,B) & r1_xxreal_0(1,k7_xcmplx_0(B,A)) ) ) ) )).
fof(t191_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(B,C) => k6_subset_1(k3_xxreal_1(A,C),k1_xxreal_1(B,C)) = k4_xxreal_1(A,B) ) ) ) ) )).
fof(t192_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ! [C] : ( v1_xreal_0(C) => ( C != k5_numbers => k22_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k22_member_1(A,C),k22_member_1(B,C)) ) ) ) ) )).
fof(t192_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(k4_xcmplx_0(A),B) = k7_xcmplx_0(A,k4_xcmplx_0(B)) ) ) )).
fof(t192_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,A) & r1_xxreal_0(1,k7_xcmplx_0(B,A)) ) ) ) )).
fof(t192_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(C,B) => k6_subset_1(k1_xxreal_1(A,C),k3_xxreal_1(B,C)) = k1_xxreal_1(A,B) ) ) ) ) )).
fof(t193_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) => r2_tarski(k3_xcmplx_0(B,C),k23_member_1(A,B)) ) ) ) ) )).
fof(t193_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k4_xcmplx_0(A) = k7_xcmplx_0(A,k4_xcmplx_0(1)) ) )).
fof(t193_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(C,B) => k6_subset_1(k3_xxreal_1(A,C),k3_xxreal_1(B,C)) = k3_xxreal_1(A,B) ) ) ) ) )).
fof(t194_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k23_member_1(A,B) = a_2_15_member_1(A,B) ) ) )).
fof(t194_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => A = k7_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(1)) ) )).
fof(t194_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k4_xcmplx_0(A),B) ) => r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(A,B)) ) ) ) )).
fof(t194_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(C,B) => k6_subset_1(k2_xxreal_1(A,C),k2_xxreal_1(B,C)) = k2_xxreal_1(A,B) ) ) ) ) )).
fof(t195_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ~ ( r2_tarski(C,k23_member_1(A,B)) & ! [D] : ( v1_xcmplx_0(D) => ~ ( C = k3_xcmplx_0(B,D) & r2_hidden(D,A) ) ) ) ) ) )).
fof(t195_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k7_xcmplx_0(A,B) = k4_xcmplx_0(1) => ( A = k4_xcmplx_0(B) & B = k4_xcmplx_0(A) ) ) ) ) )).
fof(t195_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(C,B) => k6_subset_1(k4_xxreal_1(A,C),k2_xxreal_1(B,C)) = k4_xxreal_1(A,B) ) ) ) ) )).
fof(t196_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( r1_tarski(k23_member_1(A,C),k23_member_1(B,C)) => ( C = k5_numbers | r1_tarski(A,B) ) ) ) ) ) )).
fof(t196_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k7_xcmplx_0(B,A) = k4_xcmplx_0(B) => ( B = k5_numbers | A = k4_xcmplx_0(1) ) ) ) ) )).
fof(t196_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(C,B) => k6_subset_1(k2_xxreal_1(A,C),k4_xxreal_1(B,C)) = k1_xxreal_1(A,B) ) ) ) ) )).
fof(t197_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( k23_member_1(A,C) = k23_member_1(B,C) => ( C = k5_numbers | A = B ) ) ) ) ) )).
fof(t197_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A != k5_numbers => k7_xcmplx_0(k4_xcmplx_0(A),A) = k4_xcmplx_0(1) ) ) )).
fof(t197_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(A,k4_xcmplx_0(B)) & r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) )).
fof(t197_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(C,B) => k6_subset_1(k4_xxreal_1(A,C),k4_xxreal_1(B,C)) = k3_xxreal_1(A,B) ) ) ) ) )).
fof(t198_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k23_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k23_member_1(A,C),k23_member_1(B,C)) ) ) ) ) )).
fof(t198_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A != k5_numbers => k7_xcmplx_0(A,k4_xcmplx_0(A)) = k4_xcmplx_0(1) ) ) )).
fof(t198_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(B,k4_xcmplx_0(A)) & r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) )).
fof(t198_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ~ r1_xboole_0(k2_xxreal_1(A,B),k2_xxreal_1(C,D)) => k6_subset_1(k2_xxreal_1(A,B),k2_xxreal_1(C,D)) = k2_xboole_0(k2_xxreal_1(A,C),k2_xxreal_1(D,B)) ) ) ) ) ) )).
fof(t199_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k23_member_1(k6_subset_1(A,B),C) = k6_subset_1(k23_member_1(A,C),k23_member_1(B,C)) ) ) ) ) )).
fof(t199_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ~ ( A != k5_numbers & A = k7_xcmplx_0(1,A) & A != 1 & A != k4_xcmplx_0(1) ) ) )).
fof(t199_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k4_xcmplx_0(B),A) & r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) )).
fof(t199_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ~ r1_xboole_0(k3_xxreal_1(A,B),k3_xxreal_1(C,D)) => k6_subset_1(k3_xxreal_1(A,B),k3_xxreal_1(C,D)) = k2_xboole_0(k3_xxreal_1(A,C),k3_xxreal_1(D,B)) ) ) ) ) ) )).
fof(t19_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_abcmiz_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_abcmiz_0(A,C,B) => ( ~ v1_xboole_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k3_abcmiz_0(A,B),k5_waybel_0(A,C))) & v1_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k3_abcmiz_0(A,B),k5_waybel_0(A,C)),A) & v12_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k3_abcmiz_0(A,B),k5_waybel_0(A,C)),A) & m1_subset_1(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k3_abcmiz_0(A,B),k5_waybel_0(A,C)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t19_abcmiz_1,axiom,( k1_abcmiz_1(k2_abcmiz_1) = k2_abcmiz_1 )).
fof(t19_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ~ ( k1_xfamily(k1_funct_1(B,k1_xboole_0)) = k10_abcmiz_1 & ! [C] : ( m1_abcmiz_1(C,A,k13_abcmiz_1(A)) => B != k5_trees_4(k4_tarski(k10_abcmiz_1,3),C) ) ) ) ) )).
fof(t19_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_absred_0(A,B,C) & r4_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t19_aescip_1,axiom,( v2_funct_2(k3_aescip_1,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) )).
fof(t19_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & r2_tarski(D,B) & C != D ) ) ) ) ) ) )).
fof(t19_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_4(D,A) & r2_tarski(B,D) & r2_tarski(C,D) ) => ( B = C | r1_tarski(k2_aff_1(A,B,C),D) ) ) ) ) ) ) )).
fof(t19_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( r1_xxreal_0(k1_afinsq_1(B),A) => ( r1_xxreal_0(k1_afinsq_1(k1_ordinal4(B,C)),A) | k1_funct_1(k1_ordinal4(B,C),A) = k1_funct_1(C,k6_xcmplx_0(A,k1_afinsq_1(B))) ) ) ) ) ) )).
fof(t19_afinsq_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => k3_afinsq_2(k1_ordinal4(A,B),k1_nat_1(k1_afinsq_1(A),1),k1_nat_1(k1_afinsq_1(A),k1_afinsq_1(B))) = B ) ) )).
fof(t19_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( r2_tarski(B,k2_zfmisc_1(k8_afproj(A),k1_tarski(2))) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k4_tarski(k6_afproj(A,C),2) & v1_aff_4(C,A) ) ) ) )).
fof(t19_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_afvect0(A,B,D,C) ) ) ) ) )).
fof(t19_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r1_alg_1(A,B,C) => ( r1_alg_1(k4_alg_1(A,k6_alg_1(A,B,C)),B,k7_alg_1(A,B,C)) & r2_alg_1(k4_alg_1(A,k6_alg_1(A,B,C)),B,k7_alg_1(A,B,C)) ) ) ) ) ) )).
fof(t19_algspec1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => r1_partfun1(k1_algspec1(A,C),k1_algspec1(B,C)) ) )).
fof(t19_algstr_4,axiom,( ! [A] : k11_algstr_4(A,3) = k2_xboole_0(k2_zfmisc_1(k2_zfmisc_1(A,k2_zfmisc_1(k2_zfmisc_1(A,A),k1_tarski(1))),k1_tarski(1)),k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_tarski(1)),A),k1_tarski(2))) )).
fof(t19_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(k8_altcat_1(A,B),k1_altcat_1(A,B,B)) ) ) )).
fof(t19_altcat_2,axiom,( ! [A] : ( ( v2_struct_0(A) & v6_altcat_1(A) & l2_altcat_1(A) ) => A = k5_altcat_2 ) )).
fof(t19_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,B) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) & ? [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) & v2_altcat_3(E,A,B,C) & v2_altcat_3(F,A,C,D) & ~ v2_altcat_3(k5_altcat_1(A,B,C,D,E,F),A,B,D) ) ) ) ) ) ) ) )).
fof(t19_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => ( v2_altcat_3(F,A,D,E) => ( k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | v2_altcat_3(k6_functor0(A,B,C,D,E,F),B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t19_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k5_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(t19_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_ami_3)) ) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k4_ami_3(H,I) & r2_tarski(H,k9_xtuple_0(B)) ) => k6_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),I)) = k6_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_amistd_1(k5_card_1(2),k1_ami_3,B,k9_ami_3(C,A)) = k2_tarski(C,k2_xcmplx_0(B,1)) ) ) ) )).
fof(t19_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,u1_compos_1(k4_amistd_1(A))) => ( k5_compos_0(u1_compos_1(k4_amistd_1(A)),C) = 1 => k1_amistd_1(A,k4_amistd_1(A),B,C) = k6_domain_1(k4_ordinal1,k5_ami_wstd(A,k4_amistd_1(A),B)) ) ) ) ) )).
fof(t19_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k2_amistd_1(A,B,C),k1_amistd_1(A,B,D,C)) ) ) ) ) )).
fof(t19_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( v2_amistd_1(C,A,B) & r2_tarski(D,k2_amistd_4(A,B,C)) ) => D = k4_struct_0(B) ) ) ) ) ) )).
fof(t19_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( u1_struct_0(k2_analmetr(A,B,C)) = u1_struct_0(A) & u1_analoaf(k2_analmetr(A,B,C)) = k1_diraf(u1_struct_0(A),k1_analoaf(A)) & u1_analmetr(k2_analmetr(A,B,C)) = k1_analmetr(A,B,C) ) ) ) ) )).
fof(t19_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) => ( B != C & B != k4_struct_0(A) & C != k4_struct_0(A) ) ) ) ) ) )).
fof(t19_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_analmetr(A,F,G) & r2_analort(A,F,G,B,C,D,E) ) => r2_analort(A,F,G,D,E,B,C) ) ) ) ) ) ) ) ) )).
fof(t19_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),k1_anproj_1(A)) => ( m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(t19_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [E] : ( m2_funct_2(E,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ( ( A = k9_domain_1(A,F,G,H,I) & k3_funct_2(A,k1_numbers,B,F) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = F | k1_funct_1(B,J) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,C,G) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = G | k1_funct_1(C,J) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,D,H) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = H | k1_funct_1(D,J) = k5_numbers ) ) & k3_funct_2(A,k1_numbers,E,I) = 1 & ! [J] : ( r2_tarski(J,A) => ( J = I | k1_funct_1(E,J) = k5_numbers ) ) ) => ( F = G | F = H | F = I | G = H | G = I | H = I | ! [J] : ( m2_funct_2(J,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [K] : ( v1_xreal_0(K) & ? [L] : ( v1_xreal_0(L) & ? [M] : ( v1_xreal_0(M) & ? [N] : ( v1_xreal_0(N) & J = k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(K,B)),k1_funct_1(k7_funcsdom(A),k4_tarski(L,C))),k1_funct_1(k7_funcsdom(A),k4_tarski(M,D))),k1_funct_1(k7_funcsdom(A),k4_tarski(N,E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => k9_aofa_000(A,B,k1_nat_1(C,1)) = k2_xboole_0(k9_aofa_000(A,B,C),a_3_1_aofa_000(A,B,C)) ) ) ) )).
fof(t19_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( A != B & A != C & A != D & B != C & B != D & C != D & ~ v2_funct_1(k7_finseq_4(A,B,C,D)) ) )).
fof(t19_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v19_aofa_a00(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k10_subset_1(k1_funct_1(u7_aofa_a00(A),9),u4_struct_0(A)) => ( k1_msualg_1(A,C) = k2_finseq_4(u1_struct_0(A),B,B) & k2_msualg_1(A,C) = B ) ) ) ) ) )).
fof(t19_aofa_i00,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_card_3(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,k1_card_1(A)) & v2_funct_2(C,k1_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) => ! [D] : ( m6_aofa_i00(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(A,k4_numbers),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) => r2_aofa_i00(k7_freealg(k19_aofa_000,k26_aofa_i00),A,B,D,E,F) ) ) ) ) ) ) )).
fof(t19_aofa_l00,axiom,( ! [A] : ! [B] : v2_funct_1(k9_funct_3(A,k1_tarski(B))) )).
fof(t19_armstrng,axiom,( ! [A] : ( v3_armstrng(k4_armstrng(A),A) & v8_relat_2(k4_armstrng(A)) & v4_armstrng(k4_armstrng(A),A) & v5_armstrng(k4_armstrng(A),A) ) )).
fof(t19_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( B = 1 => k2_arytm_0(A,B) = A ) ) ) )).
fof(t19_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( A = k11_arytm_3 => ( B = k11_arytm_3 | k2_arytm_1(A,B) = k4_tarski(k11_arytm_3,B) ) ) ) ) )).
fof(t19_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( A = k7_arytm_2(B,C) => r1_arytm_2(C,A) ) ) ) ) )).
fof(t19_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( ~ ( A = k1_xboole_0 & B = k1_xboole_0 ) => r1_arytm_3(k6_ordinal3(A,k3_arytm_3(A,B)),k6_ordinal3(B,k3_arytm_3(A,B))) ) ) ) )).
fof(t19_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_tarski(A,k7_asympt_0(B)) <=> r2_tarski(B,k6_asympt_0(A)) ) ) ) )).
fof(t19_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( k6_asympt_0(A) = k6_asympt_0(B) <=> r2_tarski(A,k8_asympt_0(B)) ) ) ) )).
fof(t19_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pzfmisc1(A,B,C) => ! [D] : ( r2_tarski(D,k4_autalg_1(A,B,C)) => m2_pboole(D,A,B,C) ) ) ) ) )).
fof(t19_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k6_partfun1(u1_struct_0(A)) = k1_group_1(k5_autgroup(A)) ) )).
fof(t19_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( C = D | r1_xxreal_0(A,B) ) => v1_xboole_0(k2_ballot_1(C,A,D,B)) ) ) ) )).
fof(t19_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => r2_tarski(k4_struct_0(A),k4_bcialg_1(A)) ) )).
fof(t19_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v7_ordinal1(E) => ( r1_bcialg_1(A,B,C) => r1_bcialg_1(A,k1_bcialg_2(A,B,D,E),k1_bcialg_2(A,C,D,E)) ) ) ) ) ) ) )).
fof(t19_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v4_bcialg_3(A) & l2_bcialg_1(A) ) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,B,D)),k1_bcialg_1(A,D,C)) = k4_struct_0(A) & k1_bcialg_1(A,B,k4_struct_0(A)) = B & k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)) = k1_bcialg_1(A,C,k1_bcialg_1(A,C,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)))) ) ) ) ) ) ) )).
fof(t19_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => v1_setwiseo(u1_bcialg_4(A),u1_struct_0(A)) ) )).
fof(t19_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v8_bcialg_1(E) & m1_bcialg_5(E,A,B,C,D) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => k1_bcialg_2(E,F,G,k1_nat_1(A,1)) = k1_bcialg_2(E,F,G,k1_nat_1(D,1)) ) ) ) ) ) ) ) )).
fof(t19_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_6(A,k2_bcialg_1(A,B),k4_xcmplx_0(C)) = k2_bcialg_1(A,k2_bcialg_6(A,B,k4_xcmplx_0(C))) ) ) ) )).
fof(t19_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( m2_bciideal(B,A) => r1_tarski(k4_bcialg_1(A),B) ) ) ) )).
fof(t19_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k2_bhsp_1(A,B,C)),k3_xcmplx_0(k3_square_1(k2_bhsp_1(A,B,B)),k3_square_1(k2_bhsp_1(A,C,C)))) ) ) ) )).
fof(t19_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(C,A) => ( k1_bhsp_2(A,C) = B <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k3_bhsp_1(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),C,F),B))) ) ) ) ) ) ) ) ) ) )).
fof(t19_bhsp_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => k3_funct_2(k4_ordinal1,u1_struct_0(B),C,k1_nat_1(A,1)) = k5_algstr_0(B,k3_bhsp_4(B,C,k1_nat_1(A,1)),k3_bhsp_4(B,C,A)) ) ) ) )).
fof(t19_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => r2_funct_2(u1_struct_0(C),u1_struct_0(A),k7_bilinear(A,B,C,k5_bilinear(A,B,C,D,E),F),k5_hahnban1(A,C,k7_bilinear(A,B,C,D,F),k7_bilinear(A,B,C,E,F))) ) ) ) ) ) ) )).
fof(t19_binari_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( m1_subset_1(D,k5_margrel1) => ! [E] : ( m1_subset_1(E,k5_margrel1) => k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_binari_2(k2_xcmplx_0(A,1),k6_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))),k16_funcop_1(k4_ordinal1,k4_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k2_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))),k16_funcop_1(k4_ordinal1,k5_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k2_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))),k16_funcop_1(k4_ordinal1,k4_binari_2(k1_nat_1(A,1),k3_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))),k1_binari_2(k1_nat_1(A,1))),k6_margrel1,k5_numbers,k5_series_1(2,k1_nat_1(A,1)))) = k6_xcmplx_0(k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D))),k3_binari_2(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E)))) ) ) ) ) ) )).
fof(t19_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( ( k7_partfun1(k5_margrel1,B,A) = k7_margrel1 & k7_partfun1(k5_margrel1,k4_binarith(A,B,k1_binari_2(A)),A) = k7_margrel1 ) => ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ( r1_xxreal_0(D,A) => ( D = 1 | ( k7_partfun1(k5_margrel1,B,D) = k7_margrel1 & k7_partfun1(k5_margrel1,k4_binarith(A,B,k1_binari_2(A)),D) = k7_margrel1 ) ) ) ) ) ) ) ) )).
fof(t19_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ! [D] : ( m1_subset_1(D,k5_margrel1) => ! [E] : ( m1_subset_1(E,k5_margrel1) => k7_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,D)),k9_binarith(A,1,k5_margrel1,C,k10_binarith(k5_margrel1,E))) = k9_binarith(A,1,k5_margrel1,k7_binarith(A,B,C),k10_binarith(k5_margrel1,k2_binarith(k2_binarith(D,E),k8_binarith(A,B,C)))) ) ) ) ) ) )).
fof(t19_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v1_algstr_1(A) & v2_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k6_algstr_0(A,k5_binom(A,B,D),C) = k5_binom(A,k6_algstr_0(A,B,C),D) ) ) ) ) )).
fof(t19_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k9_xtuple_0(C) = k2_zfmisc_1(A,B) => ( v3_funct_1(C) <=> ! [D] : ! [E] : ! [F] : ! [G] : ( ( r2_hidden(D,A) & r2_hidden(E,A) & r2_hidden(F,B) & r2_hidden(G,B) ) => k1_binop_1(C,D,F) = k1_binop_1(C,E,G) ) ) ) ) )).
fof(t19_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k3_finseq_1(k2_bintree2(A,B)) = k5_series_1(2,B) ) ) )).
fof(t19_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_lattices(A,B,C) & r3_lattices(A,B,D) ) => ( r4_boolealg(A,C,D) | r1_boolealg(A,B,k5_lattices(A)) ) ) ) ) ) ) )).
fof(t19_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ( v1_tops_2(C,k2_borsuk_1(A,B)) => ( v1_tops_2(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),C),A) & v1_tops_2(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B)),k9_borsuk_1(A,B),C),B) ) ) ) ) ) )).
fof(t19_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A))))) => ~ ( m1_setfam_1(D,u1_struct_0(k2_borsuk_1(B,A))) & v1_tops_2(D,k2_borsuk_1(B,A)) & C = a_3_1_borsuk_3(A,B,D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(E,C) & v1_finset_1(E) & m1_setfam_1(E,u1_struct_0(A)) ) ) ) ) ) ) ) )).
fof(t19_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_topmetr)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => m1_subset_1(k2_rcomp_1(A,B),k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) ) )).
fof(t19_borsuk_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v1_rat_1(A) ) => ~ v1_rat_1(k4_xcmplx_0(A)) ) )).
fof(t19_borsuk_6,axiom,( v4_pre_topc(a_0_8_borsuk_6,k15_euclid(2)) & m1_subset_1(a_0_8_borsuk_6,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) )).
fof(t19_borsuk_7,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k39_valued_1(k14_valued_2(B,A)) = k14_valued_2(k39_valued_1(B),k1_square_1(A)) ) ) )).
fof(t19_brouwer3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(k1_nat_1(A,1)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(A,1)))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( r1_xxreal_0(E,D) & r1_xxreal_0(D,k12_euclid(k5_algstr_0(k15_euclid(k1_nat_1(A,1)),B,C))) & ~ r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(k1_nat_1(A,1)),B,C)),E) & ~ r1_xxreal_0(k2_xcmplx_0(E,D),k12_euclid(k5_algstr_0(k15_euclid(k1_nat_1(A,1)),B,C))) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A,1)),k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),k3_topreal9(k1_nat_1(A,1),B,D),k2_topreal9(k1_nat_1(A,1),C,E)))),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A,1)),k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),k3_topreal9(k1_nat_1(A,1),B,D),k2_topreal9(k1_nat_1(A,1),C,E)))),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))))) ) => ~ ( v3_tops_2(F,k1_pre_topc(k15_euclid(k1_nat_1(A,1)),k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),k3_topreal9(k1_nat_1(A,1),B,D),k2_topreal9(k1_nat_1(A,1),C,E))),k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)) & k7_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A,1)),k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),k3_topreal9(k1_nat_1(A,1),B,D),k2_topreal9(k1_nat_1(A,1),C,E)))),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)),F,k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),k3_topreal9(k1_nat_1(A,1),B,D),k3_topreal9(k1_nat_1(A,1),C,E))) = k3_topreal9(A,k4_struct_0(k15_euclid(A)),1) ) ) ) ) ) ) ) ) )).
fof(t19_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => k4_bspace(A,k5_struct_0(k2_bspace),B) = B ) )).
fof(t19_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k6_bvfunc_2(A,k7_bvfunc_2(A,B,C,D),C,E)),k7_bvfunc_2(A,k6_bvfunc_2(A,k1_bvfunc_1(A,B),C,D),C,E)) ) ) ) ) ) )).
fof(t19_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ~ ( v2_bvfunc_2(B,A) & B = k2_enumset1(C,D,E,F) & C != D & C != E & C != F & D != E & D != F & E != F & k15_bvfunc_1(A,G,k2_partit1(A,E,F)) = k15_bvfunc_1(A,H,k2_partit1(A,E,F)) & r1_xboole_0(k15_bvfunc_1(A,H,k5_bvfunc_2(A,C,B)),k15_bvfunc_1(A,G,k5_bvfunc_2(A,D,B))) ) ) ) ) ) ) ) ) ) )).
fof(t19_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k14_margrel1(A,k14_margrel1(A,B)),B),k12_bvfunc_1(A)) ) ) )).
fof(t19_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k13_bvfunc_1(A,B)),k14_bvfunc_1(A,k1_bvfunc_1(A,B))) & r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k14_bvfunc_1(A,B)),k13_bvfunc_1(A,k1_bvfunc_1(A,B))) ) ) ) )).
fof(t19_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_eqrel_1(D,A) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k7_bvfunc_2(A,C,B,D)),k6_bvfunc_2(A,k1_bvfunc_1(A,C),B,D)) ) ) ) ) )).
fof(t19_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k7_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t19_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ( r3_bvfunc_2(A,B,C,D) => r1_bvfunc_1(A,k7_bvfunc_2(A,B,C,D),B) ) ) ) ) ) )).
fof(t19_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,C,D),k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,B,D))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t19_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,D),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,C,D),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k5_bvfunc_1(A,B,C),D),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t19_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) => r2_relset_1(A,k1_numbers,k8_c0sp1(A,B),B) ) ) ) )).
fof(t19_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_c0sp2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_c0sp2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_c0sp2(A))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( E = B & F = C & G = D ) => ( D = k5_algstr_0(k5_c0sp2(A),B,C) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,G,H) = k5_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,E,H),k3_funct_2(u1_struct_0(A),k1_numbers,F,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( ( r2_relset_1(k4_ordinal1,k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),C),k1_calcul_1(k3_cqc_lang(A),D)) & k6_cqc_lang(A,B) = k2_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),C)) & k6_cqc_lang(A,k2_calcul_1(A,C)) = k2_calcul_1(A,D) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),C),k2_calcul_1(A,C)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),k2_calcul_1(A,D)) ) => ( r1_xxreal_0(k3_finseq_1(C),1) | r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),C)),B) ) ) ) ) ) ) )).
fof(t19_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & v3_funct_2(C,k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_relset_1(k4_ordinal1,B),k1_relset_1(k4_ordinal1,B)))) ) => k1_relset_1(k4_ordinal1,k3_calcul_2(k3_cqc_lang(A),B,C)) = k1_relset_1(k4_ordinal1,B) ) ) ) )).
fof(t19_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => k3_card_1(k1_ordinal1(A)) = k2_card_1(k3_card_1(A)) ) )).
fof(t19_card_2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ! [C] : ( v1_card_1(C) => k1_card_2(k1_card_2(A,B),C) = k1_card_2(A,k1_card_2(B,C)) ) ) ) )).
fof(t19_card_3,axiom,( ! [A] : ! [B] : ! [C] : r1_tarski(k5_xboole_0(k5_card_3(A,B),k5_card_3(A,C)),k5_card_3(A,k5_xboole_0(B,C))) )).
fof(t19_card_4,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ( v1_finset_1(A) | B = k1_xboole_0 | ( r2_wellord2(k2_zfmisc_1(A,B),A) & k1_card_1(k2_zfmisc_1(A,B)) = k1_card_1(A) ) ) ) )).
fof(t19_card_5,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ( k1_card_2(A,A) = A & k2_card_2(A,A) = A ) ) )).
fof(t19_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( r2_tarski(B,k5_card_fil(A)) <=> r2_tarski(k1_card_1(B),k1_card_1(A)) ) ) ) )).
fof(t19_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ~ v1_xboole_0(k3_xboole_0(k9_xtuple_0(C),k8_relat_1(D,k1_tarski(A)))) => ( r2_tarski(B,k2_card_fin(C,D,A)) <=> ! [E] : ( ( r2_tarski(E,k9_xtuple_0(D)) & k1_funct_1(D,E) = A ) => r2_tarski(B,k1_funct_1(C,E)) ) ) ) ) ) )).
fof(t19_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ~ ( v1_card_lar(B,A) & ~ v1_card_lar(k2_card_lar(A,B),A) & ! [C] : ( v3_ordinal1(C) => ~ ( r2_tarski(C,A) & r3_card_lar(A,a_3_2_card_lar(A,B,C)) ) ) ) ) ) )).
fof(t19_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k3_tarski(a_2_0_cat_2(A,B))) & m1_subset_1(k3_tarski(a_2_0_cat_2(A,B)),k1_zfmisc_1(u4_struct_0(A))) ) ) ) )).
fof(t19_cat_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(C)) => ! [F] : ( m1_subset_1(F,u4_struct_0(C)) => ! [G] : ( m1_subset_1(G,u4_struct_0(C)) => ( A != B => r2_funct_2(k2_tarski(A,B),u4_struct_0(C),k8_cat_3(C,k2_tarski(A,B),k5_funct_4(u4_struct_0(C),A,B,D,E),k5_funct_4(u4_struct_0(C),A,B,F,G)),k5_funct_4(u4_struct_0(C),A,B,k1_cat_1(C,F,D),k1_cat_1(C,G,E))) ) ) ) ) ) ) )).
fof(t19_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,k2_cat_4(A,B,C),B) != k1_xboole_0 & k2_cat_1(A,k2_cat_4(A,B,C),C) != k1_xboole_0 ) ) ) ) )).
fof(t19_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & v4_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & v4_cat_5(B) & l1_cat_1(B) ) => ( u1_struct_0(A) = u1_struct_0(B) => g1_cat_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A)) = g1_cat_1(u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B)) ) ) ) )).
fof(t19_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v5_cat_6(A) <=> v5_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) )).
fof(t19_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => r2_tarski(B,k2_cat_7(A,k7_cat_6(A,B),k8_cat_6(A,B))) ) ) )).
fof(t19_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k1_catalan1(k1_nat_1(A,1)) = k3_xcmplx_0(k3_xcmplx_0(2,k6_xcmplx_0(2,k7_xcmplx_0(3,k1_nat_1(A,1)))),k1_catalan1(A)) ) ) )).
fof(t19_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v5_ordinal1(B) & v1_finset_1(B) ) => ( ( r1_tarski(k2_relset_1(k4_ordinal1,B),k7_domain_1(k4_ordinal1,k5_numbers,1)) & k1_nat_1(k3_xcmplx_0(2,A),1) = k3_nat_1(a_1_1_catalan2(B)) ) => v1_catalan2(k5_relat_1(B,k3_xcmplx_0(2,A))) ) ) ) )).
fof(t19_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ( k1_msualg_1(k3_catalg_1(A),k8_catalg_1(A,B)) = k1_xboole_0 & k2_msualg_1(k3_catalg_1(A),k8_catalg_1(A,B)) = k9_catalg_1(A,B,B) ) ) ) )).
fof(t19_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v11_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) => ( v11_algstr_0(B,A) & v11_algstr_0(C,A) ) ) ) ) ) )).
fof(t19_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(A))) => ( ( C = D & v1_comseq_2(k2_partfun1(A,k2_numbers,C,A)) ) => r1_xxreal_0(k9_complex1(k3_funct_2(A,k2_numbers,C,B)),k2_normsp_0(k7_cc0sp1(A),D)) ) ) ) ) ) )).
fof(t19_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ( ~ v2_struct_0(k5_cc0sp2(A)) & v13_algstr_0(k5_cc0sp2(A)) & v2_rlvect_1(k5_cc0sp2(A)) & v3_rlvect_1(k5_cc0sp2(A)) & v4_rlvect_1(k5_cc0sp2(A)) & v2_clvect_1(k5_cc0sp2(A)) & v3_clvect_1(k5_cc0sp2(A)) & v4_clvect_1(k5_cc0sp2(A)) & v5_clvect_1(k5_cc0sp2(A)) & l1_clvect_1(k5_cc0sp2(A)) ) ) )).
fof(t19_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(A) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k8_nat_1(k2_numbers,B,D) != k8_nat_1(k2_numbers,A,D) ) ) | v2_comseq_2(B) ) ) ) ) )).
fof(t19_cfuncdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ~ ( r2_tarski(A,C) & r2_tarski(B,C) & A != B & ! [D] : ( m2_funct_2(D,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ! [E] : ( m2_funct_2(E,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ? [F] : ( v1_xcmplx_0(F) & ? [G] : ( v1_xcmplx_0(G) & k1_binop_1(k1_cfuncdom(C),k1_funct_1(k3_cfuncdom(C),k4_tarski(F,D)),k1_funct_1(k3_cfuncdom(C),k4_tarski(G,E))) = k4_cfuncdom(C) & ~ ( F = k5_numbers & G = k5_numbers ) ) ) ) ) ) ) )).
fof(t19_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,k46_valued_1(A,k2_numbers,k2_numbers,B,C),D),k46_valued_1(A,k2_numbers,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,B,D),k19_valued_1(A,k2_numbers,k2_numbers,C,D))) ) ) ) ) )).
fof(t19_cgames_1,axiom,( ! [A] : ( ( v1_cgames_1(A) & l1_cgames_1(A) ) => ( v2_cgames_1(A) <=> ! [B] : ( r2_tarski(B,k2_xboole_0(u1_cgames_1(A),u2_cgames_1(A))) => v2_cgames_1(B) ) ) ) )).
fof(t19_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & ! [C] : ( m1_subset_1(C,k1_numbers) => ~ m2_chain_1(k4_tarski(C,B),A) ) ) ) ) )).
fof(t19_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) => ! [C] : ( m2_glib_000(C,A,B,k21_glib_000(A,B)) => ! [D] : ! [E] : ( ( r2_hidden(D,B) & r2_hidden(E,B) ) => ! [F] : ( r1_glib_000(A,D,E,F) => r1_glib_000(C,D,E,F) ) ) ) ) ) )).
fof(t19_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(C,F))) => ! [J] : ( m1_subset_1(J,k4_card_3(u3_msualg_1(A,D))) => ! [K] : ( m1_subset_1(K,k4_card_3(u3_msualg_1(B,E))) => ( ( J = k5_relat_1(I,u1_struct_0(A)) & v1_circuit2(k5_facirc_1(A,D,J,G),A,D) & K = k5_relat_1(k5_facirc_1(C,F,I,G),u1_struct_0(B)) & v1_circuit2(k5_facirc_1(B,E,K,H),B,E) ) => v1_circuit2(k5_facirc_1(C,F,I,k2_xcmplx_0(G,H)),C,F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msafree2(B,A) & v5_circcmb3(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => v1_circuit2(k6_circuit2(A,B,C),A,B) ) ) ) )).
fof(t19_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( l3_msualg_1(D,B) => ( r2_circcomb(A,B,C,D) => r2_circcomb(B,A,D,C) ) ) ) ) ) )).
fof(t19_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( v1_circled1(C,A) & m1_rlvect_2(C,A) & k6_rlvect_2(A,C) = B & ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,D) => ( v1_circled1(C,A) & m2_rlvect_2(C,A,D) ) ) ) ) ) ) )).
fof(t19_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m3_msaterm(C,A,B) => ! [D] : ( m3_msaterm(D,A,B) => ! [E] : ( ( v4_msualg_1(E,A) & l3_msualg_1(E,A) ) => k6_circtrm1(A,B,k4_subset_1(k1_msaterm(A,B),C,D),E) = k3_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D),k6_circtrm1(A,B,C,E),k6_circtrm1(A,B,D,E)) ) ) ) ) ) )).
fof(t19_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(C,k3_msafree2(A)) & r2_tarski(D,k2_relset_1(u1_struct_0(A),k1_msualg_1(A,k4_msafree2(A,C)))) & r1_xxreal_0(k6_circuit1(A,B,C),k6_circuit1(A,B,D)) ) ) ) ) ) )).
fof(t19_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,k2_msafree2(A),k7_funcop_1(k2_msafree2(A),k4_ordinal1),k5_relat_1(u3_msualg_1(A,B),k2_msafree2(A))) => ( v3_funct_1(k9_funct_6(C)) => ( v1_xboole_0(k2_msafree2(A)) | ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,B))) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(A,B))) => r8_pboole(u1_struct_0(A),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,D),k7_circuit1(A,B)),k8_nat_1(k4_card_3(u3_msualg_1(A,B)),k9_circuit2(A,B,C,E),k7_circuit1(A,B))) ) ) ) ) ) ) ) )).
fof(t19_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [E] : ( v1_xreal_0(E) => ( ( v1_pdiff_7(C,A) & D = k7_funcop_1(C,E) ) => r1_ckspace1(A,D,B,C) ) ) ) ) ) ) )).
fof(t19_classes1,axiom,( ! [A] : ? [B] : ( v3_ordinal1(B) & k3_classes1(A,B) = k1_classes1(A) ) )).
fof(t19_classes2,axiom,( ! [A] : ( v2_classes1(A) => v4_ordinal1(k1_card_1(A)) ) )).
fof(t19_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v9_clvect_1(B,A) & k7_clvect_1(A,B) = C ) => ( v2_comseq_2(k5_normsp_0(A,B)) & k1_seq_2(k5_normsp_0(A,B)) = k2_normsp_0(A,C) ) ) ) ) ) )).
fof(t19_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_clopban2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_clopban2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_clopban2(A))) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ( k1_algstr_0(k9_clopban2(A),B,C) = k1_algstr_0(k9_clopban2(A),C,B) & k1_algstr_0(k9_clopban2(A),k1_algstr_0(k9_clopban2(A),B,C),D) = k1_algstr_0(k9_clopban2(A),B,k1_algstr_0(k9_clopban2(A),C,D)) & k1_algstr_0(k9_clopban2(A),B,k4_struct_0(k9_clopban2(A))) = B & v10_algstr_0(B,k9_clopban2(A)) & k6_algstr_0(k9_clopban2(A),k6_algstr_0(k9_clopban2(A),B,C),D) = k6_algstr_0(k9_clopban2(A),B,k6_algstr_0(k9_clopban2(A),C,D)) & k6_algstr_0(k9_clopban2(A),B,k5_struct_0(k9_clopban2(A))) = B & k6_algstr_0(k9_clopban2(A),k5_struct_0(k9_clopban2(A)),B) = B & k6_algstr_0(k9_clopban2(A),B,k1_algstr_0(k9_clopban2(A),C,D)) = k1_algstr_0(k9_clopban2(A),k6_algstr_0(k9_clopban2(A),B,C),k6_algstr_0(k9_clopban2(A),B,D)) & k6_algstr_0(k9_clopban2(A),k1_algstr_0(k9_clopban2(A),C,D),B) = k1_algstr_0(k9_clopban2(A),k6_algstr_0(k9_clopban2(A),C,B),k6_algstr_0(k9_clopban2(A),D,B)) & k1_clvect_1(k9_clopban2(A),k6_algstr_0(k9_clopban2(A),B,C),E) = k6_algstr_0(k9_clopban2(A),k1_clvect_1(k9_clopban2(A),B,E),C) & k1_clvect_1(k9_clopban2(A),k6_algstr_0(k9_clopban2(A),B,C),k3_xcmplx_0(E,F)) = k6_algstr_0(k9_clopban2(A),k1_clvect_1(k9_clopban2(A),B,E),k1_clvect_1(k9_clopban2(A),C,F)) & k1_clvect_1(k9_clopban2(A),k1_algstr_0(k9_clopban2(A),B,C),E) = k1_algstr_0(k9_clopban2(A),k1_clvect_1(k9_clopban2(A),B,E),k1_clvect_1(k9_clopban2(A),C,E)) & k1_clvect_1(k9_clopban2(A),B,k2_xcmplx_0(E,F)) = k1_algstr_0(k9_clopban2(A),k1_clvect_1(k9_clopban2(A),B,E),k1_clvect_1(k9_clopban2(A),B,F)) & k1_clvect_1(k9_clopban2(A),B,k3_xcmplx_0(E,F)) = k1_clvect_1(k9_clopban2(A),k1_clvect_1(k9_clopban2(A),B,F),E) & k1_clvect_1(k9_clopban2(A),B,k6_complex1) = B ) ) ) ) ) ) ) )).
fof(t19_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v1_xcmplx_0(C) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_bhsp_4(A,k6_clvect_1(A,B,C)),k6_clvect_1(A,k1_bhsp_4(A,B),C)) ) ) ) )).
fof(t19_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ( v2_clopban3(k1_clopban4(A,k4_struct_0(A)),A) & k1_clopban3(A,k1_clopban4(A,k4_struct_0(A))) = k5_struct_0(A) ) ) )).
fof(t19_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ! [D] : ( m1_pboole(D,A,k5_mssubfam(A,B)) => ! [E] : ( m1_pboole(E,A,k5_mssubfam(A,B)) => ( v4_closure1(C,A,B) => r2_pboole(A,k4_pboole(A,k2_closure1(A,B,C,D),k2_closure1(A,B,C,E)),k16_pralg_1(A,C,k4_pboole(A,D,E))) ) ) ) ) ) )).
fof(t19_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_tarski(A,k9_xtuple_0(k3_closure2(k2_tarski(B,C)))) => k1_funct_1(k3_closure2(k2_tarski(B,C)),A) = k2_tarski(k1_funct_1(B,A),k1_funct_1(C,A)) ) ) ) )).
fof(t19_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_rlvect_1(A,k3_finseq_4(u1_struct_0(A),B,B,B)) = k1_clvect_1(A,B,k2_xcmplx_0(k2_xcmplx_0(k6_complex1,k6_complex1),k6_complex1)) ) ) )).
fof(t19_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(C,A) => ( k1_clvect_2(A,C) = B <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(E,F) & r1_xxreal_0(D,k11_csspace(A,k5_algstr_0(A,k8_nat_1(u1_struct_0(A),C,F),B))) ) ) ) ) ) ) ) ) ) )).
fof(t19_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,k1_nat_1(C,1)) = k5_algstr_0(A,k2_clvect_3(A,B,k1_nat_1(C,1)),k2_clvect_3(A,B,C)) ) ) ) )).
fof(t19_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_coh_sp(A)) => ! [C] : ( m1_subset_1(C,k3_coh_sp(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k3_tarski(B),k3_tarski(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(B),k3_tarski(C)))) ) => ( ! [E] : ! [F] : ( r2_tarski(k2_tarski(E,F),B) => r2_tarski(k2_tarski(k1_funct_1(D,E),k1_funct_1(D,F)),C) ) => ( ( k3_tarski(C) = k1_xboole_0 & k3_tarski(B) != k1_xboole_0 ) | r2_hidden(k4_tarski(k4_tarski(B,C),D),k5_coh_sp(A)) ) ) ) ) ) )).
fof(t19_cohsp_1,axiom,( ! [A] : k3_tarski(k5_finsub_1(A)) = A )).
fof(t19_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_collsp(D,A) => ( ( r2_tarski(B,D) & r2_tarski(C,D) ) => ( B = C | k1_collsp(A,B,C) = D ) ) ) ) ) ) )).
fof(t19_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_incsp_1(B) => ! [C] : ( l1_combgras(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(B))) => k5_combgras(A,B,C,D) = a_4_1_combgras(A,B,C,D) ) ) ) ) )).
fof(t19_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v4_tbsp_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( B = C => ( v4_tbsp_1(k1_topmetr(A,B)) <=> v4_pre_topc(C,k3_pcomps_1(A)) ) ) ) ) ) ) )).
fof(t19_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_complex1(k6_xcmplx_0(A,B)) = k5_real_1(k3_complex1(A),k3_complex1(B)) & k4_complex1(k6_xcmplx_0(A,B)) = k5_real_1(k4_complex1(A),k4_complex1(B)) ) ) ) )).
fof(t19_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k1_comptrig(A) != k5_numbers => ( ~ ( ~ r1_xxreal_0(k28_sin_cos,k1_comptrig(A)) & r1_xxreal_0(k17_sin_cos(k1_comptrig(A)),k5_numbers) ) & ~ ( ~ r1_xxreal_0(k17_sin_cos(k1_comptrig(A)),k5_numbers) & r1_xxreal_0(k28_sin_cos,k1_comptrig(A)) ) ) ) ) )).
fof(t19_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( A != k4_struct_0(k1_complfld) => k9_algstr_0(k1_complfld,k4_algstr_0(k1_complfld,A)) = k4_algstr_0(k1_complfld,k9_algstr_0(k1_complfld,A)) ) ) )).
fof(t19_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => k1_complsp2(k7_seq_4(A,B)) = k7_seq_4(k1_complsp2(A),k1_complsp2(B)) ) ) ) )).
fof(t19_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v4_compos_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k2_afinsq_1(k63_valued_1(B))) & k1_funct_1(k63_valued_1(B),C) = k2_compos_1(A) ) ) ) ) )).
fof(t19_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => ! [D] : ( ( r2_compos_2(B,C) & r1_compos_2(C,D) ) => r1_compos_2(B,D) ) ) ) ) )).
fof(t19_comptrig,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t19_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( v2_compts_1(C,A) <=> v2_compts_1(D,B) ) ) ) ) ) ) )).
fof(t19_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_margrel1(A) ) => ( k9_xtuple_0(A) = k1_tarski(k1_xboole_0) => k17_margrel1(A) = k5_numbers ) ) )).
fof(t19_comseq_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,k51_valued_1(k4_ordinal1,k2_numbers,k2_numbers,C,B),A),k51_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,C,A),B)) ) ) ) )).
fof(t19_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k7_comseq_3(A),B),k7_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B))) & r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k8_comseq_3(A),B),k8_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B))) ) ) ) )).
fof(t19_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v4_conlat_1(g2_conlat_1(A,k3_funct_2(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)),A) & v6_conlat_1(g2_conlat_1(A,k3_funct_2(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)),A) & l2_conlat_1(g2_conlat_1(A,k3_funct_2(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)),A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(A))) => ( ( ~ v4_conlat_1(g2_conlat_1(A,C,D),A) & v6_conlat_1(g2_conlat_1(A,C,D),A) & l2_conlat_1(g2_conlat_1(A,C,D),A) & r1_tarski(B,C) ) => r1_tarski(k3_funct_2(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)),C) ) ) ) ) ) ) )).
fof(t19_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) => k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B) = k1_funct_1(k1_conlat_1(k7_conlat_2(A)),B) ) ) )).
fof(t19_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_connsp_1(B,A) => v2_connsp_1(k2_pre_topc(A,B),A) ) ) ) )).
fof(t19_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_connsp_2(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) ) => ~ ( v2_connsp_1(C,k1_pre_topc(A,B)) & v3_pre_topc(C,k1_pre_topc(A,B)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v2_connsp_1(D,A) & C = k9_subset_1(u1_struct_0(A),B,D) ) ) ) ) ) ) ) )).
fof(t19_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => m1_connsp_3(k1_struct_0(A),A) ) )).
fof(t19_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( B = a_3_3_convex1(A,C,D) => v1_convex1(B,A) ) ) ) ) ) )).
fof(t19_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_convex4(C,A) => r1_tarski(k1_convex4(A,k5_convex4(A,B,C)),k4_subset_1(u1_struct_0(A),k1_convex4(A,B),k1_convex4(A,C))) ) ) ) )).
fof(t19_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k13_cqc_lang(A,k13_qc_lang1(A,C),B) = k13_qc_lang1(A,k13_cqc_lang(A,C,B)) ) ) ) )).
fof(t19_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => v1_finset_1(k24_qc_lang1(A,B)) ) ) )).
fof(t19_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => k1_cqc_the1(A,k1_cqc_the1(A,B)) = k1_cqc_the1(A,B) ) ) )).
fof(t19_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ( v2_cqc_the1(k8_cqc_lang(A,B,C),A) => ( r2_tarski(D,k24_qc_lang1(A,C)) | v2_cqc_the1(k8_cqc_lang(A,k12_cqc_lang(A,D,B),C),A) ) ) ) ) ) ) )).
fof(t19_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => ( ( r4_cqc_the3(A,B,C) & r4_cqc_the3(A,C,D) ) => r4_cqc_the3(A,B,D) ) ) ) ) ) )).
fof(t19_csspace,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v2_csspace(B) & l1_csspace(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k10_csspace(B,k1_clvect_1(B,C,A),D) = k10_csspace(B,C,k1_clvect_1(B,D,k8_complex1(A))) ) ) ) ) )).
fof(t19_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_csspace4(A,B))) => ( C = k4_struct_0(k9_csspace4(A,B)) => k5_numbers = k2_normsp_0(k9_csspace4(A,B),C) ) ) ) ) )).
fof(t19_dblseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ! [B] : ( m1_dblseq_1(B,k1_numbers,A) => ( ( v3_dblseq_1(A) & v2_comseq_2(k3_dblseq_1(A)) ) => ( v2_comseq_2(k3_dblseq_1(B)) & k5_dblseq_1(B) = k5_dblseq_1(A) ) ) ) ) )).
fof(t19_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),k5_numbers),k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k2_dblseq_2(A),k5_numbers)) & r2_funct_2(k4_ordinal1,k1_numbers,k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k4_dblseq_2(A),k5_numbers),k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,k3_dblseq_2(A),k5_numbers)) ) ) )).
fof(t19_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_decomp_1(C,A,B) <=> ( v5_decomp_1(C,A,B) & v15_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t19_descip_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => A = k4_subset_1(k4_ordinal1,k6_domain_1(k4_ordinal1,k5_numbers),k7_subset_1(k4_ordinal1,k2_finseq_1(A),k1_tarski(A))) ) )).
fof(t19_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v3_dickson(A) & r2_tarski(C,k6_dickson(A,B)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_dickson(A))) => ( r2_tarski(D,C) => r4_waybel_4(B,D,u1_orders_2(k5_dickson(A))) ) ) ) ) ) )).
fof(t19_diff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v7_ordinal1(C) => ( v1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C)) & v1_funct_2(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C),k1_numbers,k1_numbers) & m1_subset_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(B,A),C),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) ) ) )).
fof(t19_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_zfmisc_1(A,B,C,D) => ( k11_diff_1(E,A,B,C,D) = k11_diff_1(E,B,A,C,D) & k11_diff_1(E,A,B,C,D) = k11_diff_1(E,B,C,A,D) ) ) ) ) ) ) ) )).
fof(t19_diff_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(D,B),A),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(D,B),A),k2_xcmplx_0(k2_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A,1),2),B)),k7_xcmplx_0(B,2))) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k7_diff_1(D,B),A),C) = k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(D,B),A),k6_xcmplx_0(k6_xcmplx_0(C,k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(A,1),2),B)),k7_xcmplx_0(B,2))) ) ) ) ) ) )).
fof(t19_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_tarski(k2_xcmplx_0(B,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) & r2_hidden(B,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) ) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k1_fdiff_9),A),B) = k4_xcmplx_0(k3_xcmplx_0(4,k7_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2,B),A)),k17_sin_cos(A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2,k2_xcmplx_0(B,A))),k17_sin_cos(k3_xcmplx_0(2,B)))))) ) ) ) )).
fof(t19_dilworth,axiom,( ! [A] : ( ( v3_dilworth(A) & l1_orders_2(A) ) => ( k1_dilworth(A) = 1 => ( v2_dilworth(k2_struct_0(A),A) & m1_subset_1(k2_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t19_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_diraf(A,B,C,C,B) & r2_diraf(A,B,C,B,C) ) ) ) ) )).
fof(t19_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => k18_rvsum_1(k4_dist_1(A,B)) = 1 ) ) )).
fof(t19_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) & k10_relat_1(C,k7_margrel1) = B ) ) ) )).
fof(t19_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => k2_zfmisc_1(A,B) = a_2_0_domain_1(A,B) ) ) )).
fof(t19_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_dualsp01(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_dualsp01(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k12_dualsp01(A))) => ( D = k3_rlvect_1(k12_dualsp01(A),B,C) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k13_dualsp01(A,D,E) = k2_xcmplx_0(k13_dualsp01(A,B,E),k13_dualsp01(A,C,E)) ) ) ) ) ) ) )).
fof(t19_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v7_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(k17_dualsp01(A))) => ? [D] : ( v1_xreal_0(D) & r1_xxreal_0(k5_numbers,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(E,B) => r1_xxreal_0(k9_complex1(k18_dualsp01(A,C,E)),D) ) ) ) ) & ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(k5_numbers,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r1_xxreal_0(k2_normsp_0(A,D),C) ) ) ) ) ) ) ) )).
fof(t19_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_dynkin(B,A) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_tarski(C,D) => r2_tarski(k7_subset_1(A,D,C),B) ) ) ) ) ) )).
fof(t19_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => r1_tarski(k9_e_siec(A),k2_xboole_0(k2_zfmisc_1(k7_e_siec(A),k8_e_siec(A)),k2_zfmisc_1(k8_e_siec(A),k7_e_siec(A)))) ) )).
fof(t19_ec_pf_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & k5_int_1(k3_xcmplx_0(A,B),C) = 1 ) => k9_algstr_0(k9_int_3(C),D) = k5_int_1(B,C) ) ) ) ) ) )).
fof(t19_ec_pf_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) & B = k2_xcmplx_0(A,1) ) => k3_rlvect_1(k9_int_3(C),k8_group_1(k9_int_3(C),D,F),F) = k8_group_1(k9_int_3(C),E,F) ) ) ) ) ) ) ) )).
fof(t19_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k2_ens_1(A)) => ( r2_tarski(D,k7_ens_1(A,B,C)) <=> ( k3_ens_1(A,D) = B & k4_ens_1(A,D) = C ) ) ) ) ) ) )).
fof(t19_entropy1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( v2_matrprob(A) <=> ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => v4_partfun3(k7_matrix_0(k1_numbers,A,B)) ) ) ) ) )).
fof(t19_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_enumset1(E,F,G)) )).
fof(t19_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v3_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( r2_hidden(C,k6_eqrel_1(A,A,D,B)) <=> r2_hidden(k4_tarski(C,B),D) ) ) )).
fof(t19_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( r2_tarski(E,k3_msualg_1(A,D,C)) => k1_funct_1(k5_msualg_1(A,D,C),E) = k1_funct_1(k5_msualg_1(A,D,B),E) ) ) ) ) ) )).
fof(t19_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(A,C,D)),k2_xcmplx_0(k12_euclid(k8_euclid(A,C,B)),k12_euclid(k8_euclid(A,B,D)))) ) ) ) ) )).
fof(t19_euclid10,axiom,( k1_sin_cos4(k7_xcmplx_0(k28_sin_cos,6)) = k7_xcmplx_0(k3_square_1(3),3) )).
fof(t19_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( v1_xreal_0(D) => k22_rvsum_1(k1_rlvect_1(k15_euclid(A),B,D),C) = k3_xcmplx_0(D,k22_rvsum_1(B,C)) ) ) ) ) )).
fof(t19_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xreal_0(B) => k1_euclid_3(k3_xcmplx_0(B,A)) = k1_rlvect_1(k15_euclid(2),k1_euclid_3(A),B) ) ) )).
fof(t19_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => k22_rvsum_1(k5_euclid(A),B) = k5_numbers ) ) )).
fof(t19_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k5_euclid_5(k4_euclid_5(k5_numbers,k5_numbers,k5_numbers),k4_euclid_5(A,B,C)) = k4_struct_0(k15_euclid(3)) ) ) ) )).
fof(t19_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( k12_euclid(k5_algstr_0(k15_euclid(2),A,C)) = k12_euclid(k5_algstr_0(k15_euclid(2),B,C)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) ) => ( D = C | ( ( k4_euclid_3(A,C,D) = k4_euclid_3(D,C,B) => k12_euclid(k5_algstr_0(k15_euclid(2),A,D)) = k12_euclid(k5_algstr_0(k15_euclid(2),D,B)) ) & ( k12_euclid(k5_algstr_0(k15_euclid(2),A,D)) = k12_euclid(k5_algstr_0(k15_euclid(2),D,B)) => k22_rvsum_1(k5_algstr_0(k15_euclid(2),C,D),k5_algstr_0(k15_euclid(2),B,A)) = k5_numbers ) & ( k22_rvsum_1(k5_algstr_0(k15_euclid(2),C,D),k5_algstr_0(k15_euclid(2),B,A)) = k5_numbers => k4_euclid_3(A,C,D) = k4_euclid_3(D,C,B) ) ) ) ) ) ) ) ) )).
fof(t19_euclid_8,axiom,( k5_euclid_8(k4_euclid_8,k3_euclid_8) = k6_euclid(3,k2_euclid_8) )).
fof(t19_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ~ ( r2_tarski(D,k8_metric_1(k14_euclid(A),C,B)) & ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ~ r1_tarski(k4_euclid_9(A,D,k7_xcmplx_0(1,E)),k8_metric_1(k14_euclid(A),C,B)) ) ) ) ) ) ) )).
fof(t19_euclidlp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(A)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) => k8_euclid(A,k7_euclid(A,k7_euclid(A,B,C),D),k7_euclid(A,k7_euclid(A,E,F),G)) = k7_euclid(A,k7_euclid(A,k8_euclid(A,B,E),k8_euclid(A,C,F)),k8_euclid(A,D,G)) ) ) ) ) ) ) ) )).
fof(t19_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r1_analmetr(A,B,C) & k4_struct_0(A) != D & k4_struct_0(A) != E & r2_analmetr(A,D,E,B,C) & ! [F] : ( v1_xreal_0(F) => ~ ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( r2_analmetr(A,k3_rlvect_1(A,k1_rlvect_1(A,B,G),k1_rlvect_1(A,C,H)),k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xcmplx_0(F,H)),k1_rlvect_1(A,C,k4_xcmplx_0(k3_xcmplx_0(F,G)))),B,C) & r2_analmetr(A,k5_algstr_0(A,k3_rlvect_1(A,k1_rlvect_1(A,B,G),k1_rlvect_1(A,C,H)),D),k5_algstr_0(A,k3_rlvect_1(A,k1_rlvect_1(A,B,k3_xcmplx_0(F,H)),k1_rlvect_1(A,C,k4_xcmplx_0(k3_xcmplx_0(F,G)))),E),B,C) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => r1_xxreal_0(k1_euler_1(A),k6_xcmplx_0(A,1)) ) ) )).
fof(t19_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( v1_int_2(B) & r1_int_2(A,B) ) => ( A = k5_numbers | k4_nat_d(k1_newton(A,B),B) = k4_nat_d(A,B) ) ) ) ) )).
fof(t19_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => ( v3_exchsort(A,k5_numbers) <=> v1_xboole_0(A) ) ) )).
fof(t19_extens_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_msafree(D,A,B) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r1_msualg_3(A,B,C,E) & r1_msualg_3(A,B,C,F) & r8_pboole(u1_struct_0(A),k1_msafree(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),k1_msafree(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,F)) ) => r8_pboole(u1_struct_0(A),E,F) ) ) ) ) ) ) ) )).
fof(t19_extpro_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v1_setfam_1(C) ) => ( r1_xxreal_0(A,B) => ! [D] : ( ( ~ v2_struct_0(D) & v2_memstr_0(D,C) & v3_memstr_0(D,C) & v3_extpro_1(D,C) & l1_extpro_1(D,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(D)) & v1_funct_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(D)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(C,D)) & v1_partfun1(F,u1_struct_0(D)) ) => ( r1_compos_1(D,E,k5_memstr_0(C,D,k5_extpro_1(C,D,E,F,A))) => r1_compos_1(D,E,k5_memstr_0(C,D,k5_extpro_1(C,D,E,F,B))) ) ) ) ) ) ) ) ) )).
fof(t19_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k3_extreal1(k4_xxreal_3(A,B)) = k1_extreal1(k3_extreal1(A),k3_extreal1(B)) ) ) )).
fof(t19_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( ! [E] : ( r2_tarski(E,k10_xtuple_0(k1_msualg_1(A,D))) => r1_facirc_1(A,B,C,E) ) => r1_facirc_1(A,B,k6_circuit2(A,B,C),k2_msualg_1(A,D)) ) ) ) ) ) )).
fof(t19_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k15_facirc_1(A,B,C)) = k2_xboole_0(k1_enumset1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)),k1_tarski(k17_facirc_1(A,B,C))) )).
fof(t19_fcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,C)) & r1_tarski(B,k1_relset_1(k1_numbers,D)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,A)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,D,B)) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_xboole_0(A,B))) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_xboole_0(A,B))) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_xboole_0(A,B))) ) ) ) ) )).
fof(t19_fcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,A) & r1_tarski(k1_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) ) => k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A)) = k1_rcomp_1(k3_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))),k2_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A)))) ) ) ) ) )).
fof(t19_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(k3_limfunc1(A),k1_relset_1(k1_numbers,B)) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A))) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A))),k7_relset_1(k1_numbers,k1_numbers,B,k3_limfunc1(A)))) ) ) ) ) )).
fof(t19_fdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & r2_fdiff_1(B,A) & r2_fdiff_1(C,A) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D) = k6_xcmplx_0(k1_fdiff_1(B,D),k1_fdiff_1(C,D)) ) ) ) ) ) ) ) )).
fof(t19_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k3_taylor_1))) & ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & r1_xxreal_0(B,k5_numbers) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k3_taylor_1),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k3_taylor_1),A),B) = k7_xcmplx_0(1,k3_xcmplx_0(k1_funct_1(k3_taylor_1,B),B)) ) ) ) ) ) )).
fof(t19_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k27_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k27_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k27_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k1_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) )).
fof(t19_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_fdiff_1(C,B) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(C,B),A)) ) ) ) ) ) )).
fof(t19_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r3_fdiff_3(A,C) & r3_fdiff_3(B,C) ) => ( k1_funct_1(B,C) = k5_numbers | ( r3_fdiff_3(k3_rfunct_1(k1_numbers,k1_numbers,A,B),C) & k2_fdiff_3(C,k3_rfunct_1(k1_numbers,k1_numbers,A,B)) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k2_fdiff_3(C,A),k1_funct_1(B,C)),k3_xcmplx_0(k2_fdiff_3(C,B),k1_funct_1(A,C))),k1_square_1(k1_funct_1(B,C))) ) ) ) ) ) ) )).
fof(t19_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1)))) & D = k1_taylor_1(2) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => ( k1_funct_1(C,E) = k1_square_1(A) & ~ r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),E),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1)),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1)),B),E) = k7_xcmplx_0(k3_xcmplx_0(2,E),k6_xcmplx_0(k1_square_1(A),k1_newton(E,2))) ) ) ) ) ) ) ) ) )).
fof(t19_fdiff_5,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k9_xtuple_0(k3_taylor_1)) => ( r2_fdiff_1(k3_taylor_1,A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k3_taylor_1,A),B) = k7_xcmplx_0(1,B) ) ) ) ) ) )).
fof(t19_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),k7_xcmplx_0(1,k6_xcmplx_0(1,k3_power(k4_power,A)))))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(C,D) = k3_xcmplx_0(D,k3_power(k4_power,A)) ) ) ) => ( r1_xxreal_0(A,k5_numbers) | A = k4_power | ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),k7_xcmplx_0(1,k6_xcmplx_0(1,k3_power(k4_power,A)))),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k22_sin_cos)),k7_xcmplx_0(1,k6_xcmplx_0(1,k3_power(k4_power,A)))),B),D) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,D),k6_prepower(A,D)) ) ) ) ) ) ) ) ) )).
fof(t19_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k3_sin_cos6))) & r1_tarski(C,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(A,E),B) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k3_sin_cos6),C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k3_sin_cos6),C),E) = k6_xcmplx_0(k3_xcmplx_0(A,k1_funct_1(k3_sin_cos6,E)),k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,E),B),k3_square_1(k6_xcmplx_0(1,k1_square_1(E))))) ) ) ) ) ) ) ) ) )).
fof(t19_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k3_taylor_1))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k3_taylor_1),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k3_taylor_1),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(k1_funct_1(k16_sin_cos,B),k1_funct_1(k18_sin_cos,B)))) ) ) ) ) ) )).
fof(t19_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos,B),k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t19_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k3_relat_1(k8_ff_siec(A),k8_ff_siec(A)) = k8_ff_siec(A) & k3_relat_1(k8_ff_siec(A),k7_ff_siec(A)) = k8_ff_siec(A) & k3_relat_1(k7_ff_siec(A),k7_ff_siec(A)) = k7_ff_siec(A) & k3_relat_1(k7_ff_siec(A),k8_ff_siec(A)) = k7_ff_siec(A) ) ) )).
fof(t19_fib_num2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_tarski(k9_xtuple_0(A),k2_finseq_1(B)) & ~ r1_xxreal_0(C,B) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( r1_tarski(A,D) & k4_finseq_1(D) = k2_finseq_1(C) ) ) ) ) ) ) )).
fof(t19_fib_num3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k2_nat_1(2,k1_fib_num3(k1_nat_1(A,2))) = k1_nat_1(k1_fib_num3(A),k1_fib_num3(k1_nat_1(A,3))) ) )).
fof(t19_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( A != k5_numbers => k2_int_1(k6_xcmplx_0(k7_xcmplx_0(k2_power(k1_fib_num,A),k3_square_1(5)),k7_xcmplx_0(1,2))) = k1_pre_ff(A) ) ) )).
fof(t19_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_finseq_8(A,C) => ( r2_finseq_8(A,B,C,1) | k7_finseq_8(A,k8_finseq_1(A,B,C),C,1) = k1_nat_1(k3_finseq_1(B),1) ) ) ) ) ) )).
fof(t19_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( ~ ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_lattices(A,B,C) = B ) & k2_filter_0(A,B) = u1_struct_0(A) ) ) ) )).
fof(t19_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k4_filter_1(A,B)) & v10_lattices(k4_filter_1(A,B)) & v14_lattices(k4_filter_1(A,B)) & l3_lattices(k4_filter_1(A,B)) & k6_lattices(k4_filter_1(A,B)) = k5_filter_1(A,B,k6_lattices(A)) ) ) ) )).
fof(t19_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_lattice2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_lattice2(A))) => ( ( r3_lattices(A,B,C) => r3_lattices(k1_lattice2(A),k1_filter_2(A,C),k1_filter_2(A,B)) ) & ( r3_lattices(k1_lattice2(A),k1_filter_2(A,C),k1_filter_2(A,B)) => r3_lattices(A,B,C) ) & ( r3_lattices(k1_lattice2(A),D,E) => r3_lattices(A,k2_filter_2(A,E),k2_filter_2(A,D)) ) & ( r3_lattices(A,k2_filter_2(A,E),k2_filter_2(A,D)) => r3_lattices(k1_lattice2(A),D,E) ) ) ) ) ) ) ) )).
fof(t19_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_fin_topo(A,k3_subset_1(u1_struct_0(A),B)) = k5_fin_topo(A,B) ) ) )).
fof(t19_finance2,axiom,( m1_prob_1(k4_xboole_0(k1_numbers,k4_numbers),k1_numbers,k12_prob_1) )).
fof(t19_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ? [C] : ( m2_finseq_1(C,B) & k3_finseq_1(C) = A ) ) ) )).
fof(t19_finseq_2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ~ ( k3_finseq_1(B) != k5_numbers & ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m1_subset_1(D,A) => B != k7_finseq_1(C,k9_finseq_1(D)) ) ) ) ) )).
fof(t19_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r3_xboole_0(k2_finseq_1(A),k2_finseq_1(B)) ) ) )).
fof(t19_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(A)) => k1_funct_1(A,k4_finseq_4(A,B)) = B ) ) )).
fof(t19_finseq_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k10_xtuple_0(k16_finseq_1(B,A)),k10_xtuple_0(A)) ) ) )).
fof(t19_finseq_6,axiom,( ! [A] : ! [B] : k4_finseq_4(k10_finseq_1(A,B),A) = 1 )).
fof(t19_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => k2_finseq_7(A,B,C,C) = B ) ) ) )).
fof(t19_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => r2_finseq_8(A,B,B,1) ) ) ) )).
fof(t19_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => r2_relset_1(k4_ordinal1,C,k2_finseqop(A,B,C,G,k5_finseq_2(A,F,D),E),k5_finseq_2(C,F,k2_binop_1(A,B,C,G,D,E))) ) ) ) ) ) ) ) )).
fof(t19_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( v2_binop_1(C,A) => ( ( ~ v1_setwiseo(C,A) & ~ ( D != k5_numbers & E != k5_numbers ) ) | k1_finsop_1(A,k5_finseq_2(A,k3_xcmplx_0(D,E),B),C) = k1_finsop_1(A,k5_finseq_2(A,E,k1_finsop_1(A,k5_finseq_2(A,D,B),C)),C) ) ) ) ) ) ) ) )).
fof(t19_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k8_fintopo2(A,C)) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,k6_fintopo2(A,B)) => ( ~ r1_xboole_0(D,C) & ~ r1_xboole_0(D,k3_subset_1(u1_struct_0(A),C)) ) ) ) ) ) ) ) )).
fof(t19_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_fintopo3(A,B,k5_numbers) = B ) ) )).
fof(t19_fintopo4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => v1_fin_topo(k2_fintopo4(A)) ) ) )).
fof(t19_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_orders_2(A) & v1_fin_topo(A) & v1_fintopo6(A) & B != k1_xboole_0 & k3_subset_1(u1_struct_0(A),B) != k1_xboole_0 & k6_fin_topo(A,B) = k1_xboole_0 ) ) ) )).
fof(t19_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => ( r1_tarski(k6_flang_1(A,B,k9_subset_1(k3_catalan2(A),C,D)),k9_subset_1(k3_catalan2(A),k6_flang_1(A,B,C),k6_flang_1(A,B,D))) & r1_tarski(k6_flang_1(A,k9_subset_1(k3_catalan2(A),C,D),B),k9_subset_1(k3_catalan2(A),k6_flang_1(A,C,B),k6_flang_1(A,D,B))) ) ) ) ) )).
fof(t19_flang_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(B,k1_flang_2(A,C,D,E)) <=> ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & r2_tarski(B,k7_flang_1(A,C,F)) ) ) ) ) ) )).
fof(t19_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,k5_numbers) => k7_flang_1(A,k1_flang_3(A,B,C),D) = k1_flang_3(A,B,k3_xcmplx_0(C,D)) ) ) ) ) )).
fof(t19_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(C,k1_funct_2(A,B)) => r1_tarski(k3_tarski(C),k2_zfmisc_1(A,B)) ) )).
fof(t19_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v4_fomodel1(C,A) & m1_subset_1(C,k1_fomodel1(A)) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v4_fomodel2(E,A) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [F] : ( ( v4_fomodel2(F,A) & m2_subset_1(F,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [G] : ( m2_subset_1(G,k9_funct_2(k37_fomodel1(A),k3_rfunct_3(k3_finseq_2(B),k2_xboole_0(B,k5_margrel1))),k15_fomodel2(A,B)) => ( ~ ( k25_fomodel2(A,B,G,k42_fomodel1(A,k43_fomodel1(A,C),D)) = k7_margrel1 & ! [H] : ( m1_subset_1(H,B) => k25_fomodel2(A,B,k34_fomodel2(A,B,G,C,H),D) != 1 ) ) & ( ? [H] : ( m1_subset_1(H,B) & k25_fomodel2(A,B,k34_fomodel2(A,B,G,C,H),D) = 1 ) => k25_fomodel2(A,B,G,k42_fomodel1(A,k43_fomodel1(A,C),D)) = k7_margrel1 ) & ( k25_fomodel2(A,B,G,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),E),F)) = k7_margrel1 => ( k25_fomodel2(A,B,G,E) = k6_margrel1 & k25_fomodel2(A,B,G,F) = k6_margrel1 ) ) & ( ( k25_fomodel2(A,B,G,E) = k6_margrel1 & k25_fomodel2(A,B,G,F) = k6_margrel1 ) => k25_fomodel2(A,B,G,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),E),F)) = k7_margrel1 ) ) ) ) ) ) ) ) ) )).
fof(t19_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v1_orders_4(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ~ ( v13_fomodel4(C,2,B) & v7_fomodel4(C,B) & v15_fomodel4(C,B) & ~ v10_fomodel4(A,B,C) & r1_tarski(A,k30_fomodel2(B)) & ! [D] : ( ( ~ v1_xboole_0(D) & v4_card_3(D) ) => ! [E] : ( m2_subset_1(E,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(D),k2_xboole_0(D,k5_margrel1))),k15_fomodel2(B,D)) => ~ v10_fomodel2(A,D,B,E) ) ) ) ) ) )).
fof(t19_frechet,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( r1_tarski(C,A) => ( r2_tarski(D,A) | k8_relat_1(k1_funct_4(k6_partfun1(A),k7_funcop_1(B,D)),k6_subset_1(C,k1_tarski(D))) = k6_subset_1(C,B) ) ) )).
fof(t19_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_subset_1(u1_struct_0(A),k1_frechet2(A,B),k1_frechet2(A,C)) = k1_frechet2(A,k4_subset_1(u1_struct_0(A),B,C)) ) ) ) )).
fof(t19_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => k2_msafree2(k8_fscirc_1(A,B,C)) = k1_enumset1(A,B,C) ) ) ) )).
fof(t19_fscirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( k3_fscirc_2(A,B,C) != k4_tarski(D,k3_facirc_1) & k3_fscirc_2(A,B,C) != k4_tarski(D,k2_twoscomp) & k3_fscirc_2(A,B,C) != k4_tarski(D,k1_facirc_1) ) ) ) ) )).
fof(t19_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r5_fsm_1(A,B,C,D,E) <=> ! [F] : ( m1_subset_1(F,A) => ( k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),B,u3_fsm_1(A,B,C),k1_domain_1(u1_struct_0(C),A,D,F)) = k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),B,u3_fsm_1(A,B,C),k1_domain_1(u1_struct_0(C),A,E,F)) & r5_fsm_1(A,B,C,k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,D,F)),k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,E,F))) ) ) ) ) ) ) ) ) )).
fof(t19_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_2(D,A,B) ) => ( r2_tarski(u2_fsm_1(A,D),u1_fsm_2(A,D)) => r3_fsm_2(A,B,D,C,k3_funct_2(u1_struct_0(D),B,u4_fsm_1(A,B,D),u2_fsm_1(A,D))) ) ) ) ) ) )).
fof(t19_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_3(D,A,C) ) => ( r2_tarski(B,k6_fsm_3(A,C,D)) <=> ~ r1_xboole_0(k3_rewrite3(A,C,D,B,u1_fsm_3(A,C,D)),u2_fsm_3(A,C,D)) ) ) ) ) ) )).
fof(t19_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) & ~ r2_tarski(E,k3_msafree2(k25_gfacirc1(A,B,C))) & ? [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) & ? [G] : ( m1_subset_1(G,k5_margrel1) & ? [H] : ( m1_subset_1(H,k5_margrel1) & ? [I] : ( m1_subset_1(I,k5_margrel1) & ? [J] : ( m1_subset_1(J,k5_margrel1) & ? [K] : ( m1_subset_1(K,k5_margrel1) & G = k1_funct_1(F,A) & H = k1_funct_1(F,B) & I = k1_funct_1(F,C) & J = k1_funct_1(F,D) & K = k1_funct_1(F,E) & ~ ( k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),k11_ftacell1(A,B,C,D,E)) = k8_margrel1(k1_binarith(k1_binarith(k9_margrel1(k2_binarith(k2_binarith(G,k8_margrel1(H)),I),K),k9_margrel1(K,k8_margrel1(J))),k9_margrel1(k8_margrel1(J),k2_binarith(k2_binarith(G,k8_margrel1(H)),I)))) & k1_funct_1(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),k12_ftacell1(A,B,C,D,E)) = k2_binarith(k2_binarith(k2_binarith(k2_binarith(G,k8_margrel1(H)),I),k8_margrel1(J)),K) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : k3_relat_1(A,k2_funcop_1(B,C)) = k2_funcop_1(k8_relat_1(A,B),C) ) )).
fof(t19_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ~ ( r2_tarski(A,C) & r2_tarski(B,C) & A != B & ! [D] : ( m2_funct_2(D,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ! [E] : ( m2_funct_2(E,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ? [F] : ( v1_xreal_0(F) & ? [G] : ( v1_xreal_0(G) & k1_binop_1(k5_funcsdom(C),k1_funct_1(k7_funcsdom(C),k4_tarski(F,D)),k1_funct_1(k7_funcsdom(C),k4_tarski(G,E))) = k8_funcsdom(C) & ~ ( F = k5_numbers & G = k5_numbers ) ) ) ) ) ) ) )).
fof(t19_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k9_xtuple_0(k3_relat_1(k4_relat_1(A),B)) = k3_xboole_0(k9_xtuple_0(B),A) ) )).
fof(t19_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( B = k1_xboole_0 => A = k1_xboole_0 ) => ( v2_funct_1(C) <=> ! [D] : ! [E] : ( ( r2_hidden(D,A) & r2_hidden(E,A) & k1_funct_1(C,D) = k1_funct_1(C,E) ) => D = E ) ) ) ) )).
fof(t19_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_funct_1(k1_funct_3(A)) & v1_funct_2(k1_funct_3(A),k1_zfmisc_1(k9_xtuple_0(A)),k1_zfmisc_1(k10_xtuple_0(A))) & m1_subset_1(k1_funct_3(A),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k9_xtuple_0(A)),k1_zfmisc_1(k10_xtuple_0(A))))) ) ) )).
fof(t19_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(k9_xtuple_0(A),k9_xtuple_0(B)) => k1_funct_4(A,B) = B ) ) ) )).
fof(t19_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),k9_xtuple_0(A)) => r2_hidden(B,k9_xtuple_0(k1_funct_5(A))) ) ) )).
fof(t19_funct_7,axiom,( ! [A] : ! [B] : ( r1_tarski(k3_finseq_2(A),k3_finseq_2(B)) => r1_tarski(A,B) ) )).
fof(t19_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_funct_8(A,k1_numbers,k1_numbers,B) => r1_funct_8(A,k1_numbers,k1_numbers,k37_valued_1(k1_numbers,k1_numbers,B)) ) ) ) )).
fof(t19_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) ) => ( ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k9_xtuple_0(C)) => ( r2_tarski(k2_xcmplx_0(D,A),k9_xtuple_0(C)) & r2_tarski(k6_xcmplx_0(D,A),k9_xtuple_0(C)) & r2_tarski(k2_xcmplx_0(D,B),k9_xtuple_0(C)) & r2_tarski(k6_xcmplx_0(D,B),k9_xtuple_0(C)) & k1_funct_1(C,k2_xcmplx_0(D,A)) = k1_funct_1(C,k2_xcmplx_0(D,B)) ) ) ) => ( k6_xcmplx_0(A,B) = k5_numbers | ( v1_funct_9(C,k6_xcmplx_0(A,B)) & v2_funct_9(C) ) ) ) ) ) ) )).
fof(t19_functor0,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,B) & v1_funct_1(G) & v1_partfun1(G,B) ) => ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,C) & v1_funct_1(H) & v1_partfun1(H,C) ) => ! [I] : ( m1_functor0(I,A,B,D,F,G) => ! [J] : ( m1_functor0(J,A,C,k1_partfun1(A,B,B,C,D,E),k3_relat_1(D,G),H) => ( ! [K] : ~ ( r2_tarski(K,A) & k1_funct_1(k3_relat_1(D,G),K) = k1_xboole_0 & k1_funct_1(F,K) != k1_xboole_0 & k1_funct_1(k3_relat_1(k1_partfun1(A,B,B,C,D,E),H),K) != k1_xboole_0 ) => m1_functor0(k8_pboole(I,J),A,C,k1_partfun1(A,B,B,C,D,E),F,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & v1_altcat_2(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( v8_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v21_functor0(C,A,B) => k13_functor0(A,B,A,C,k15_functor0(A,B,C)) = k12_functor0(A) ) ) ) ) )).
fof(t19_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => r8_pboole(u1_struct_0(A),k5_functor3(A,B,C,D,D,k4_functor2(A,B,D),E),k4_functor2(A,C,k1_functor3(A,B,C,D,E))) ) ) ) ) ) )).
fof(t19_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_fuznum_1(A,B) = k8_relset_1(A,k1_numbers,B,k1_tarski(1)) ) ) )).
fof(t19_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r1_fuzzy_1(B,C) & r1_fuzzy_1(D,C) ) => r1_fuzzy_1(k2_fuzzy_1(A,B,D),C) ) ) ) ) ) )).
fof(t19_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k1_fuzzy_1(A,B,k1_fuzzy_2(A,D,C)),k1_fuzzy_2(A,k1_fuzzy_1(A,B,D),k1_fuzzy_1(A,B,C))) ) ) ) ) )).
fof(t19_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [G] : ( ( v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ( ( r1_fuzzy_1(D,E) & r1_fuzzy_1(F,G) ) => r1_fuzzy_1(k3_fuzzy_4(A,B,C,D,F),k3_fuzzy_4(A,B,C,E,G)) ) ) ) ) ) ) ) ) )).
fof(t19_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_fvaluat1(B,A) => ( v3_fvaluat1(A) => k3_funct_2(u1_struct_0(A),k6_numbers,B,k4_algstr_0(A,k5_struct_0(A))) = k5_numbers ) ) ) )).
fof(t19_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_fvsum_1(A,k12_finseq_1(u1_struct_0(A),B),k12_finseq_1(u1_struct_0(A),C)) = k12_finseq_1(u1_struct_0(A),k1_algstr_0(A,B,C)) ) ) ) )).
fof(t19_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(k13_gate_1(A,B,C)) <=> ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) ) ) )).
fof(t19_gaussint,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ec_pf_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k4_algstr_0(A,C) = k4_algstr_0(B,D) ) ) ) ) ) )).
fof(t19_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r4_gcd_1(A,k8_group_1(A,D,B),k8_group_1(A,D,C)) => ( D = k4_struct_0(A) | r4_gcd_1(A,B,C) ) ) ) ) ) ) )).
fof(t19_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( r1_xxreal_0(k3_finseq_1(E),B) => k9_genealg1(D,E,F,A,B,C) = k8_genealg1(D,E,F,A,C) ) ) ) ) ) ) ) )).
fof(t19_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( ( r1_analmetr(A,H,I) & r2_geomtrap(A,H,I,B,E,C,F) & r2_geomtrap(A,H,I,B,E,D,G) ) => ( B = E | r2_geomtrap(A,H,I,C,F,D,G) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_gfacirc1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => k2_msafree2(k7_gfacirc1(A,B,C)) = k1_enumset1(A,B,C) ) ) ) )).
fof(t19_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v3_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k35_glib_000(A,B) = k4_card_1(k28_glib_000(A,B)) ) ) )).
fof(t19_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ! [D] : ! [E] : ( m3_glib_001(E,A) => ! [F] : ( m3_glib_001(F,B) => ( E = F => ( r1_glib_001(A,C,D,E) <=> r1_glib_001(B,C,D,F) ) ) ) ) ) ) )).
fof(t19_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ! [D] : ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ( ( r2_tarski(C,k2_glib_002(A,E)) & r2_glib_000(A,C,D,B) ) => r2_tarski(D,k2_glib_002(A,E)) ) ) ) )).
fof(t19_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) & v1_glib_003(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( ( C = D & k5_glib_003(A) = k5_glib_003(B) ) => k8_glib_003(A,C) = k8_glib_003(B,D) ) ) ) ) ) )).
fof(t19_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k2_glib_002(A,B)) ) ) ) )).
fof(t19_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v1_glib_005(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ( C != B => r2_glib_005(A,k13_glib_005(A,C,B),B,C) ) ) ) ) )).
fof(t19_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( k1_matrix_0(C) = k1_nat_1(A,1) & r2_tarski(B,k2_finseq_1(A)) ) => ( r1_xxreal_0(A,k5_numbers) | ( k8_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(k1_matrix_0(C),u1_struct_0(k15_euclid(2)),C),B) = k8_matrix_0(u1_struct_0(k15_euclid(2)),C,B) & r2_tarski(B,k2_finseq_1(k1_matrix_0(k16_matrix_0(k1_matrix_0(C),u1_struct_0(k15_euclid(2)),C)))) ) ) ) ) ) ) )).
fof(t19_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(1,B) ) => ( r1_xxreal_0(k1_matrix_0(C),B) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1))),k3_goboard5(C,A,B)) ) ) ) ) ) )).
fof(t19_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k3_goboard5(A,k5_numbers,k1_matrix_0(A))) = a_1_5_goboard6(A) ) )).
fof(t19_goboard7,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k1_matrix_0(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k1_matrix_0(A)) ) => ( r1_xboole_0(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,k1_nat_1(E,1)))) | ( B = D & r1_xxreal_0(k1_int_2(k6_xcmplx_0(C,E)),1) ) ) ) ) ) ) ) ) )).
fof(t19_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k7_nat_d(k3_finseq_1(k2_goboard2(A)),1),k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,2)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k7_nat_d(k3_finseq_1(k2_goboard2(A)),1),k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k7_nat_d(k3_finseq_1(k2_goboard2(A)),1),C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,1))),k7_xcmplx_0(1,2)),k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,1))),k7_xcmplx_0(1,2)),k19_euclid(1,k5_numbers))),k3_topreal1(2,A)) ) ) ) ) ) ) )).
fof(t19_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => v1_convex1(k1_tops_1(k15_euclid(2),k5_goboard5(A,B)),k15_euclid(2)) ) ) ) )).
fof(t19_gobrd11,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v1_goboard1(A) => k1_goboard5(A,k3_finseq_1(A)) = a_1_10_gobrd11(A) ) ) )).
fof(t19_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [F] : ( ( ~ v3_relat_1(F) & v1_matrix_0(F) & v1_goboard1(F) & v2_goboard1(F) & v3_goboard1(F) & v4_goboard1(F) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(k9_matrix_0(E),k9_matrix_0(F)) & r2_hidden(k4_tarski(A,C),k2_matrix_0(E)) & r2_hidden(k4_tarski(B,D),k2_matrix_0(F)) & k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),F,B,D) ) => r1_tarski(k3_goboard5(F,B,k7_nat_d(D,1)),k3_goboard5(E,A,k7_nat_d(C,1))) ) ) ) ) ) ) ) )).
fof(t19_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k3_topreal1(2,A) = k7_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),k3_goboard9(A)),k3_goboard9(A)) ) )).
fof(t19_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v4_card_3(A) => v4_card_3(k3_cqc_lang(A)) ) ) )).
fof(t19_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_gr_cy_1(A) <=> ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & k6_group_1(A,B) = k7_group_1(A) ) ) ) )).
fof(t19_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( ( k7_group_1(A) = 2 & k7_group_1(B) = 2 ) => r2_group_6(A,B) ) ) ) )).
fof(t19_gr_cy_3,axiom,( k1_gr_cy_3(3) = 7 )).
fof(t19_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ( r1_partfun1(u1_graph_1(A),u1_graph_1(B)) & r1_partfun1(u2_graph_1(A),u2_graph_1(B)) ) => ( r4_graph_1(A,k5_graph_1(A,B)) & r4_graph_1(B,k5_graph_1(A,B)) ) ) ) ) )).
fof(t19_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_graph_2(A) <=> ( ~ r1_xxreal_0(k3_finseq_1(A),1) & ? [B] : ? [C] : ( B != C & k10_xtuple_0(A) = k2_tarski(B,C) ) ) ) ) )).
fof(t19_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_graph_1(A) & l1_graph_1(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r1_xboole_0(B,u4_struct_0(A)) & ~ r2_tarski(C,k1_graph_3(A,B)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ~ ( r2_tarski(D,k1_graph_3(A,B)) & ~ r2_tarski(E,B) & ( D = k1_funct_1(u2_graph_1(A),E) | D = k1_funct_1(u1_graph_1(A),E) ) ) ) ) ) ) ) )).
fof(t19_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & v1_graph_4(B,A) & m2_graph_1(B,A) ) => ( v7_graph_1(B,A) & v3_graph_2(B,A) & m2_graph_1(B,A) ) ) ) )).
fof(t19_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m2_finseq_1(C,u4_struct_0(B)) => ( r1_tarski(k2_graph_5(B,C),A) <=> ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => r1_tarski(k1_graph_5(B,k7_partfun1(u4_struct_0(B),C,D)),A) ) ) ) ) ) )).
fof(t19_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ! [D] : ( v1_xreal_0(D) => ( r2_tarski(B,k4_finseq_1(C)) => k1_funct_1(k2_graphsp(A,B,C,D),B) = D ) ) ) ) ) )).
fof(t19_grcat_1,axiom,( ! [A] : ( ( v1_grcat_1(A) & v2_grcat_1(A) & l1_grcat_1(A) ) => ! [B] : ( ( v1_grcat_1(B) & v2_grcat_1(B) & l1_grcat_1(B) ) => ~ ( k7_grcat_1(B) = k8_grcat_1(A) & ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l2_algstr_0(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & l2_algstr_0(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ~ ( A = g1_grcat_1(C,D,F) & B = g1_grcat_1(D,E,G) & k13_grcat_1(B,A) = g1_grcat_1(C,E,k1_partfun1(u1_struct_0(C),u1_struct_0(D),u1_struct_0(D),u1_struct_0(E),F,G)) ) ) ) ) ) ) ) ) ) )).
fof(t19_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( ( v15_algstr_0(C) & v1_group_3(C,A) & m1_group_2(C,A) ) => ( ( m1_group_6(C,A,B) & m1_group_6(k5_group_6(B,k1_group_6(A,B,C)),k5_group_6(A,C),k10_group_5(k5_group_6(A,C))) ) => m1_group_6(k1_grnilp_1(A,B,k7_group_2(A)),A,C) ) ) ) ) )).
fof(t19_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ~ ( r2_tarski(E,k2_groeb_1(A,B,C,k7_ideal_1(k12_polynom1(A,C),D))) & ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ~ ( r2_tarski(F,k2_groeb_1(A,B,C,D)) & r3_pre_poly(A,F,E) ) ) ) ) => r1_tarski(k2_groeb_1(A,B,C,k7_ideal_1(k12_polynom1(A,C),D)),k3_groeb_1(A,k2_groeb_1(A,B,C,D))) ) ) ) ) ) )).
fof(t19_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => r8_pboole(k15_pre_poly(A),k3_groeb_2(A,B,C,D,E),k8_polynom1(A,C)) ) ) ) ) ) )).
fof(t19_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) => ( k2_xboole_0(k3_groeb_3(A,B,C,D,E),k4_groeb_3(A,B,C,D,E)) = k3_polynom1(k15_pre_poly(A),C,D) & k3_xboole_0(k3_groeb_3(A,B,C,D,E),k4_groeb_3(A,B,C,D,E)) = k1_xboole_0 ) ) ) ) ) ) ) )).
fof(t19_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) <=> k6_algstr_0(A,k2_group_1(A,B),k2_group_1(A,C)) = k6_algstr_0(A,k2_group_1(A,C),k2_group_1(A,B)) ) ) ) ) )).
fof(t19_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_group_2(D,A) => k2_group_11(A,k4_subset_1(u1_struct_0(A),B,C),D) = k4_subset_1(u1_struct_0(A),k2_group_11(A,B,D),k2_group_11(A,C,D)) ) ) ) ) )).
fof(t19_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_prvect_1(B) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ~ ( D = k1_funct_1(A,C) & k1_funct_1(B,C) = k2_group_14(D) ) ) ) ) ) => k1_card_1(u1_struct_0(k19_prvect_1(B))) = k19_rvsum_1(A) ) ) ) )).
fof(t19_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k1_tarski(B)) & v1_funct_1(C) & v1_partfun1(C,k1_tarski(B)) & v1_group_7(C) & v2_group_7(C,k1_tarski(B)) & v3_group_7(C,k1_tarski(B)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C))))) ) => ( ( C = k17_funcop_1(B,A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C)),D,E) = k17_funcop_1(B,E) ) ) => ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C))) & v1_group_6(D,A,k2_group_7(k1_tarski(B),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C))))) ) ) ) ) ) )).
fof(t19_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v7_ordinal1(C) => ~ ( k7_group_1(A) = k1_newton(B,C) & ! [D] : ( ( v15_algstr_0(D) & v1_group_3(D,A) & m1_group_2(D,A) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( k6_group_1(A,G) = k2_seq_4(k1_group_18(A)) & v8_struct_0(D) & v5_group_1(D) & k3_xboole_0(u1_struct_0(D),u1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),G)))) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ? [I] : ( m1_subset_1(I,u1_struct_0(A)) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r1_struct_0(D,I) & r1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),G)),J) & H = k8_group_1(A,I,J) ) ) ) & k6_group_1(A,G) = k1_newton(B,E) & F = k6_xcmplx_0(C,E) & r1_xxreal_0(E,C) & k7_group_1(D) = k1_newton(B,F) & ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(D,k5_group_4(A,k6_domain_1(u1_struct_0(A),G))))),u1_struct_0(A)) & v1_group_6(H,k2_group_7(k2_tarski(1,2),k10_finseq_1(D,k5_group_4(A,k6_domain_1(u1_struct_0(A),G)))),A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(D,k5_group_4(A,k6_domain_1(u1_struct_0(A),G))))),u1_struct_0(A)))) & v3_funct_2(H,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(D,k5_group_4(A,k6_domain_1(u1_struct_0(A),G))))),u1_struct_0(A)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r1_struct_0(D,I) & r1_struct_0(k5_group_4(A,k6_domain_1(u1_struct_0(A),G)),J) ) => k1_funct_1(H,k5_group_7(A,A,I,J)) = k8_group_1(A,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( r2_funct_2(A,u1_struct_0(B),E,k14_funct_7(A,u1_struct_0(B),k8_funcop_1(u1_struct_0(B),A,k1_group_1(B)),C,D)) => r1_tarski(k4_group_19(A,B,E),k1_tarski(C)) ) ) ) ) ) ) )).
fof(t19_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_group_2(A,k6_domain_1(u1_struct_0(A),B),k7_domain_1(u1_struct_0(A),C,D)) = k7_domain_1(u1_struct_0(A),k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) ) ) ) ) )).
fof(t19_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_group_3(A,B,k1_group_1(A)) = B ) ) )).
fof(t19_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ! [E] : ( m2_finseq_1(E,k4_numbers) => ( ( k3_finseq_1(B) = k3_finseq_1(D) & k3_finseq_1(C) = k3_finseq_1(E) ) => k4_group_4(A,k8_finseq_1(k4_numbers,D,E),k8_finseq_1(u1_struct_0(A),B,C)) = k8_finseq_1(u1_struct_0(A),k4_group_4(A,D,B),k4_group_4(A,E,C)) ) ) ) ) ) ) )).
fof(t19_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k2_group_5(A,k1_group_1(A),B) = k1_group_1(A) & k2_group_5(A,B,k1_group_1(A)) = k1_group_1(A) ) ) ) )).
fof(t19_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_group_6(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_group_6(A,B))) => k2_group_2(A,k6_group_6(A,B,C),k6_group_6(A,B,D)) = k6_algstr_0(k5_group_6(A,B),C,D) ) ) ) ) )).
fof(t19_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_group_1(B) & l3_algstr_0(B) ) => ( v1_relat_1(k10_finseq_1(A,B)) & v4_relat_1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_funct_1(k10_finseq_1(A,B)) & v1_partfun1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_group_7(k10_finseq_1(A,B)) & v4_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) ) ) )).
fof(t19_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,C) => ( ( D = k10_group_2(A,C,B) & v8_struct_0(A) ) => r1_xxreal_0(k18_group_2(C,D),k18_group_2(A,B)) ) ) ) ) ) )).
fof(t19_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v2_group_9(C,A) & m1_group_9(C,A,B) ) => k17_group_9(A,B,C,C) = C ) ) )).
fof(t19_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => ! [D] : ( m1_group_2(D,B) => ! [E] : ( m1_group_2(E,B) => ( ( v2_group_10(D,A) & v2_group_10(E,A) & u1_struct_0(C) = k7_group_4(B,D,E) ) => v2_group_10(C,A) ) ) ) ) ) ) )).
fof(t19_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,E) & r1_gtarski1(A,C,D,E) ) => r1_gtarski1(A,B,C,D) ) ) ) ) ) ) )).
fof(t19_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k5_algstr_0(A,C,D)) = k5_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,C),k3_funct_2(u1_struct_0(A),k1_numbers,B,D)) ) ) ) ) )).
fof(t19_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k6_hahnban1(A,B,k6_algstr_0(A,C,D),E),k6_hahnban1(A,B,C,k6_hahnban1(A,B,D,E))) ) ) ) ) ) )).
fof(t19_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_hallmar1(D,A,B,C) => m2_hallmar1(D,A,B) ) ) ) ) )).
fof(t19_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,B) & r1_xxreal_0(k1_funct_1(k6_weierstr(A,B),C),k3_metric_1(A,D,C)) ) ) ) ) )).
fof(t19_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( ( v5_glib_001(C,A) & m3_glib_001(C,A) ) => ( ( k4_glib_001(A,B) = k3_glib_001(A,C) & k9_subset_1(k6_glib_000(A),k13_glib_001(A,B),k13_glib_001(A,C)) = k1_tarski(k4_glib_001(A,B)) ) => ( v1_glib_001(B,A) | v1_glib_001(C,A) | ( ~ v1_glib_001(k7_glib_001(A,B,C),A) & v5_glib_001(k7_glib_001(A,B,C),A) ) ) ) ) ) ) )).
fof(t19_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),k1_hermitan(A,k4_hahnban1(k1_complfld,A,B)),k4_hahnban1(k1_complfld,A,k1_hermitan(A,B))) ) ) )).
fof(t19_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k7_normform(A)),k8_normform(A)) => ~ ( k10_normform(A,C,k2_heyting1(A,B)) = k1_xboole_0 & ! [D] : ( m2_subset_1(D,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(D,k6_heyting1(A,C)) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),D,B) ) ) ) ) ) )).
fof(t19_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => C = k2_lattice2(k4_partfun1(A,B),k5_substlat(A,B),C,k8_heyting2(A,B)) ) ) )).
fof(t19_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(A,C) => r1_tarski(k3_heyting3(A,B),k3_heyting3(C,B)) ) ) ) ) )).
fof(t19_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_taylor_1(C,A,B) & r1_taylor_1(D,A,B) ) => r1_taylor_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),A,B) ) ) ) ) ) )).
fof(t19_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_funct_2(k4_ordinal1,u1_struct_0(A),k11_polynom3(A,k5_hilbasis(A,B,D),E),k1_nat_1(C,B)) = k6_algstr_0(A,D,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,C)) ) ) ) ) ) )).
fof(t19_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B,C),k3_hilbert1(k3_hilbert1(A,B),k3_hilbert1(A,C))),k6_hilbert1) ) ) ) )).
fof(t19_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( k4_hilbert1(A,B) = k4_hilbert1(C,D) => ( A = C & D = B ) ) ) ) ) ) )).
fof(t19_hilbert3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k3_relat_1(C,k15_pralg_1(A,B)) = k15_pralg_1(k3_relat_1(C,A),k3_relat_1(C,B)) ) ) ) )).
fof(t19_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( m1_trees_4(C,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r1_huffman1(A,B,C,D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(C)) ) => k3_tarski(k10_huffman1(k1_funct_1(C,E))) = a_2_1_huffman1(A,B) ) ) ) ) ) ) ) )).
fof(t19_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k11_polynom3(A,B,k4_polynom5(A,C,D)),k4_polynom5(A,k11_polynom3(A,B,C),D)) ) ) ) ) )).
fof(t19_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_abian(k2_hurwitz(A,B)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_hurwitz2(A,k1_polynom4(A,B)),k9_polynom3(A)) ) ) ) )).
fof(t19_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_idea_1(B,A) => r1_idea_1(B,k8_idea_1(B,A)) ) ) ) )).
fof(t19_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_subset_1(B,u1_struct_0(A)) <=> ~ r2_tarski(k5_struct_0(A),B) ) ) ) )).
fof(t19_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,B,C,D) & r1_collsp(A,B,C,E) & r1_collsp(A,B,F,G) & r1_collsp(A,B,F,H) & r1_collsp(A,C,G,K) & r1_collsp(A,F,D,K) & r1_collsp(A,C,H,J) & r1_collsp(A,E,F,J) & r1_collsp(A,D,H,I) & r1_collsp(A,E,G,I) ) => ( B = D | B = E | D = E | C = D | C = E | B = G | B = H | G = H | F = G | F = H | r1_collsp(A,B,C,F) | r1_collsp(A,I,J,K) ) ) ) ) ) ) ) ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k3_incproj(A))) => ! [C] : ( m1_subset_1(C,u1_incsp_1(k3_incproj(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k3_incproj(A))) => ! [E] : ( m1_subset_1(E,u1_incsp_1(k3_incproj(A))) => ! [F] : ( m1_subset_1(F,u1_incsp_1(k3_incproj(A))) => ! [G] : ( m1_subset_1(G,u1_incsp_1(k3_incproj(A))) => ! [H] : ( m1_subset_1(H,u1_incsp_1(k3_incproj(A))) => ! [I] : ( m1_subset_1(I,u1_incsp_1(k3_incproj(A))) => ! [J] : ( m1_subset_1(J,u1_incsp_1(k3_incproj(A))) => ! [K] : ( m1_subset_1(K,u1_incsp_1(k3_incproj(A))) => ! [L] : ( m1_subset_1(L,u2_incsp_1(k3_incproj(A))) => ! [M] : ( m1_subset_1(M,u2_incsp_1(k3_incproj(A))) => ! [N] : ( m1_subset_1(N,u2_incsp_1(k3_incproj(A))) => ! [O] : ( m1_subset_1(O,u2_incsp_1(k3_incproj(A))) => ! [P] : ( m1_subset_1(P,u2_incsp_1(k3_incproj(A))) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(k3_incproj(A))) => ! [R] : ( m1_subset_1(R,u2_incsp_1(k3_incproj(A))) => ! [S] : ( m1_subset_1(S,u2_incsp_1(k3_incproj(A))) => ! [T] : ( m1_subset_1(T,u2_incsp_1(k3_incproj(A))) => ( ( r2_zfmisc_1(B,C,D,E) & r2_zfmisc_1(B,F,G,H) & r1_incsp_1(k3_incproj(A),B,N) & r1_incsp_1(k3_incproj(A),B,Q) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),D,H,I),L) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),E,F,J),O) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),C,G,K),R) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),C,H,J),M) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),E,G,I),P) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),D,F,K),S) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),F,G,H),N) & r4_incsp_1(k3_incproj(A),k8_domain_1(u1_incsp_1(k3_incproj(A)),C,D,E),Q) & r4_incsp_1(k3_incproj(A),k7_domain_1(u1_incsp_1(k3_incproj(A)),I,J),T) ) => ( N = Q | r1_incsp_1(k3_incproj(A),K,T) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u4_incsp_1(A)) => ~ ( ~ v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A) & r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),F) & ~ r2_incsp_1(A,E,F) & v4_incsp_1(k9_domain_1(u1_incsp_1(A),B,C,D,E),A) ) ) ) ) ) ) ) )).
fof(t19_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,C) => ( r1_funct_2(u4_struct_0(A),u4_struct_0(B),u4_struct_0(A),u4_struct_0(C),D,E) => k13_index_1(A,B,D) = k13_index_1(A,C,E) ) ) ) ) ) ) )).
fof(t19_instalg1,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( m1_instalg1(C,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r3_pua2mss1(A,C,D,E) => r3_pua2mss1(A,B,D,E) ) ) ) ) ) ) )).
fof(t19_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( r2_int_1(k2_xcmplx_0(A,B),C,D) <=> r2_int_1(A,k6_xcmplx_0(C,B),D) ) ) ) ) ) )).
fof(t19_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(A,C) & r1_int_1(B,C) ) => r1_int_1(k2_int_2(A,B),C) ) ) ) ) )).
fof(t19_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(A,k5_numbers) & k4_nat_d(k3_xcmplx_0(A,B),k1_newton(A,C)) != k3_xcmplx_0(A,k4_nat_d(B,k1_newton(A,k7_nat_d(C,1)))) ) ) ) ) )).
fof(t19_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( k3_int_2(A,B) = 1 => ( r1_xxreal_0(B,2) | r1_int_5(A,B) | k5_int_1(k1_newton(A,k3_nat_d(k7_nat_d(B,1),2)),B) = k6_xcmplx_0(B,1) ) ) ) ) )).
fof(t19_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r1_int_2(A,B) => k3_int_2(A,k3_xcmplx_0(B,C)) = k3_int_2(A,C) ) ) ) ) )).
fof(t19_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( v3_group_1(g3_algstr_0(k1_int_7(A),k2_int_7(A))) & v5_group_1(g3_algstr_0(k1_int_7(A),k2_int_7(A))) & v2_group_1(g3_algstr_0(k1_int_7(A),k2_int_7(A))) ) ) )).
fof(t19_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_int_2(A,C) & k4_nat_d(k3_xcmplx_0(A,B),C) = 1 ) => ( r1_xxreal_0(C,1) | k3_pepin(A,C) = k3_pepin(B,C) ) ) ) ) ) )).
fof(t19_integr11,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A)),k18_sin_cos)) = k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(k2_xcmplx_0(A,1))),k7_xcmplx_0(1,k2_xcmplx_0(A,1))),k2_seq_4(B)),k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(k2_xcmplx_0(A,1))),k7_xcmplx_0(1,k2_xcmplx_0(A,1))),k3_seq_4(B))) ) ) )).
fof(t19_integr12,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v3_rcomp_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,E) & r1_tarski(E,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,E) => k1_funct_1(D,F) = 1 ) ) & E = k1_relset_1(k1_numbers,C) & r1_tarski(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(A)))) & r2_relset_1(k1_numbers,k1_numbers,C,k3_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(k6_xcmplx_0(A,1))),A),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k1_taylor_1(2)),k4_taylor_1(k7_xcmplx_0(1,2))))) ) => ( r1_xxreal_0(A,1) | k2_integra5(B,C) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(A)),k2_seq_4(B)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k1_taylor_1(A)),k3_seq_4(B))) ) ) ) ) ) ) ) )).
fof(t19_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,D) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,D) => k1_funct_1(C,E) = 1 ) ) & r2_relset_1(k1_numbers,k1_numbers,B,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k1_sin_cos9,k1_partfun2(k1_numbers,D)),k3_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2))))) & r1_tarski(D,k2_rcomp_1(k4_xcmplx_0(1),1)) & D = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_sin_cos9),k3_seq_4(A))) ) ) ) ) ) )).
fof(t19_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(B,D) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k3_taylor_1,D)),k3_xcmplx_0(D,k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k3_taylor_1,D))))) ) ) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_fdiff_9))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_fdiff_9),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k1_fdiff_9),k3_seq_4(A))) ) ) ) ) )).
fof(t19_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( C = k1_rcomp_1(D,E) => k11_integr15(A,C,B) = k12_integr15(D,E,A,B) ) ) ) ) ) ) )).
fof(t19_integr16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( ( r1_integr16(A,B) & r1_integr16(A,C) & r1_tarski(A,k1_relset_1(k1_numbers,B)) & r1_tarski(A,k1_relset_1(k1_numbers,C)) & v1_comseq_2(k2_partfun1(k1_numbers,k2_numbers,B,A)) & v1_comseq_2(k2_partfun1(k1_numbers,k2_numbers,C,A)) ) => ( r1_integr16(A,k2_valued_1(k1_numbers,k2_numbers,k2_numbers,B,C)) & r1_integr16(A,k46_valued_1(k1_numbers,k2_numbers,k2_numbers,B,C)) & k7_integr16(A,k2_valued_1(k1_numbers,k2_numbers,k2_numbers,B,C)) = k2_xcmplx_0(k7_integr16(A,B),k7_integr16(A,C)) & k7_integr16(A,k46_valued_1(k1_numbers,k2_numbers,k2_numbers,B,C)) = k6_xcmplx_0(k7_integr16(A,B),k7_integr16(A,C)) ) ) ) ) ) )).
fof(t19_integr19,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,C)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(B),C,A),B) ) => v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k1_nfcont_4(B,k1_numbers,C),A)) ) ) ) ) )).
fof(t19_integr20,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & v3_lopban_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_nfcont_3(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,D)) ) => r1_integr18(C,k3_integra5(A,B),D) ) ) ) ) ) )).
fof(t19_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,E) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) ) => ( r1_integr18(E,k3_integra5(C,D),k2_vfunct_1(k1_numbers,E,F,G)) & v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(E),k2_vfunct_1(k1_numbers,E,F,G),k3_integra5(C,D)),E,k1_numbers) ) ) ) ) ) ) ) ) ) )).
fof(t19_integra1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ( r2_tarski(A,k4_finseq_1(C)) => k3_integra1(k2_integra1(B,C,A)) = k1_funct_1(k5_integra1(B,k7_rfunct_1(B,B),C),A) ) ) ) ) )).
fof(t19_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( m1_integra1(D,B) => ( ( v1_comseq_2(k2_partfun1(B,k1_numbers,C,B)) & r1_xxreal_0(k5_numbers,A) ) => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(A,k3_seq_4(k1_rvsum_1(C))),k3_integra1(B)),k1_funct_1(k8_integra1(B,k26_valued_1(B,k1_numbers,C,A)),D)) ) ) ) ) ) )).
fof(t19_integra3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(B,k1_numbers,D,B)) & r2_tarski(A,k4_finseq_1(C)) ) => r1_xxreal_0(k3_seq_4(k1_rvsum_1(D)),k2_seq_4(k1_rvsum_1(k2_partfun1(B,k1_numbers,D,k2_integra1(B,C,A))))) ) ) ) ) ) )).
fof(t19_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v2_seq_2(k2_partfun1(A,k1_numbers,C,A)) => v3_xxreal_2(k1_rvsum_1(k2_partfun1(A,k1_numbers,C,B))) ) ) ) )).
fof(t19_integra5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( B = k1_rcomp_1(C,D) => k2_integra5(B,A) = k4_integra5(C,D,A) ) ) ) ) ) )).
fof(t19_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,B) & r1_integra5(k3_integra5(A,B),E) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) ) => ( r1_integra5(k3_integra5(C,D),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F),k3_integra5(C,D))) ) ) ) ) ) ) ) ) )).
fof(t19_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k1_rcomp_1(A,B),C) & r1_tarski(C,k1_relset_1(k1_numbers,D)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,D,C)) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(A,B))) & r1_integra5(k3_integra5(A,B),D) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(A,B))) ) ) ) ) ) )).
fof(t19_integra8,axiom,( k1_funct_1(k3_sin_cos2,1) = k7_xcmplx_0(k2_xcmplx_0(k1_square_1(k4_power),1),k3_xcmplx_0(2,k4_power)) )).
fof(t19_integra9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(B,k1_taylor_1(A)) = k6_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,k2_xcmplx_0(A,1)),k1_newton(k2_seq_4(B),k2_xcmplx_0(A,1))),k3_xcmplx_0(k7_xcmplx_0(1,k2_xcmplx_0(A,1)),k1_newton(k3_seq_4(B),k2_xcmplx_0(A,1)))) ) ) )).
fof(t19_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => r1_interva1(A,k4_interva1(A,B,B),B) ) ) )).
fof(t19_intpro_1,axiom,( r2_tarski(k10_intpro_1,k8_intpro_1) )).
fof(t19_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(A,B) => k1_funct_1(k5_newton(C,D,B),k1_nat_1(A,1)) = k3_xcmplx_0(k3_xcmplx_0(k4_newton(A,B),k2_power(C,k6_xcmplx_0(B,A))),k2_power(D,A)) ) ) ) ) ) )).
fof(t19_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) ) => ( ( r1_isocat_1(A,B) & r1_isocat_1(C,D) ) => r1_isocat_1(k6_cat_2(A,C),k6_cat_2(B,D)) ) ) ) ) ) )).
fof(t19_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( k3_graph_1(A,E) = k4_graph_1(A,F) => ! [G] : ( m2_nattra_1(G,B,C,k10_cat_2(A,B,C,D,k3_graph_1(A,F)),k10_cat_2(A,B,C,D,k3_graph_1(A,E))) => ( r2_funct_2(u1_struct_0(B),u4_struct_0(C),G,k4_isocat_2(A,B,C,D,F)) => r2_funct_2(u1_struct_0(B),u4_struct_0(C),k4_isocat_2(A,B,C,D,k1_cat_1(A,F,E)),k5_nattra_1(B,C,k10_cat_2(A,B,C,D,k3_graph_1(A,F)),k10_cat_2(A,B,C,D,k3_graph_1(A,E)),k10_cat_2(A,B,C,D,k4_graph_1(A,E)),G,k4_isocat_2(A,B,C,D,E))) ) ) ) ) ) ) ) ) ) )).
fof(t19_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_tops_1(C,A) & r1_tarski(k1_tops_1(A,C),B) & r1_tarski(B,C) ) ) ) ) )).
fof(t19_jgraph_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( v2_funct_1(B) => ( r1_xxreal_0(k3_finseq_1(B),1) | ( v1_graph_4(k4_jgraph_1(A,B),k1_jgraph_1(A)) & k1_funct_1(B,1) != k1_funct_1(B,k3_finseq_1(B)) ) ) ) ) ) )).
fof(t19_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(B,A,k3_topmetr) & v5_pre_topc(C,A,k3_topmetr) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E) = F & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,E) = G ) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),D,E) = k2_xcmplx_0(F,G) ) ) ) ) & v5_pre_topc(D,A,k3_topmetr) ) ) ) ) ) ) )).
fof(t19_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( k3_subset_1(u1_struct_0(k15_euclid(2)),A) = k6_domain_1(u1_struct_0(k15_euclid(2)),k4_struct_0(k15_euclid(2))) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ~ ( B = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,A) & v5_pre_topc(B,k1_pre_topc(k15_euclid(2),A),k1_pre_topc(k15_euclid(2),A)) ) ) ) ) )).
fof(t19_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D),k12_euclid(D)),A),k6_xcmplx_0(1,A))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k17_euclid(D),k5_numbers) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(1,A) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t19_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(k5_numbers,k18_euclid(B)) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k5_jgraph_4(A),B) => r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) ) ) ) )).
fof(t19_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r2_tarski(E,k1_sppol_2(A,B,C,D)) ) => ( r1_xxreal_0(A,k17_euclid(E)) & r1_xxreal_0(k17_euclid(E),B) & r1_xxreal_0(C,k18_euclid(E)) & r1_xxreal_0(k18_euclid(E),D) ) ) ) ) ) ) ) )).
fof(t19_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k18_euclid(C) = H & k17_euclid(D) = F & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(B),H) & r1_xxreal_0(E,k17_euclid(C)) & r1_xxreal_0(k17_euclid(C),F) & r1_xxreal_0(G,k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),H) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_jordan,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) => k7_subset_1(u1_struct_0(k15_euclid(B)),k2_topreal9(B,C,A),k1_topreal9(B,C,A)) = k3_topreal9(B,C,A) ) ) ) )).
fof(t19_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( E = a_4_1_jordan1(A,B,C,D) => v2_connsp_1(E,k15_euclid(2)) ) ) ) ) ) ) )).
fof(t19_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xboole_0(k1_jordan2c(2,B),k3_topreal1(2,k1_jordan9(B,A))) ) ) )).
fof(t19_jordan12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(A,k1_matrix_0(B)) => v1_convex1(k2_goboard5(B,A),k15_euclid(2)) ) ) ) )).
fof(t19_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( v7_ordinal1(C) => ( ( r1_jordan1h(A,C) & r2_jordan2c(2,A,B) ) => r1_xboole_0(B,k3_topreal1(2,k1_jordan13(A,C))) ) ) ) ) )).
fof(t19_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),E,C),k3_topreal1(2,k2_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)) ) ) ) ) ) ) ) ) )).
fof(t19_jordan16,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,A) => ( r2_tarski(B,k1_jordan7(A,B,k18_pscomp_1(A))) & r2_tarski(k18_pscomp_1(A),k1_jordan7(A,B,k18_pscomp_1(A))) ) ) ) ) )).
fof(t19_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( E != B & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != E & F != B & r1_jordan17(A,B,C,E,F) ) ) ) ) ) ) ) ) )).
fof(t19_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r2_tarski(A,k1_jordan2c(2,B)) & r1_xxreal_0(k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),B,k4_topreal1(A)))),k2_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),B,k6_topreal1(A))))) ) ) ) )).
fof(t19_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & ~ r1_xxreal_0(A,k5_numbers) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k9_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k8_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k9_jordan6(B)) ) ) ) ) ) ) )).
fof(t19_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(E)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(E)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,k1_matrix_0(E)) ) => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,B,D))) ) ) ) ) ) ) )).
fof(t19_jordan1b,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,1),k1_jordan1a(k1_jordan8(A,1)),1) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2),k9_pscomp_1(k3_topreal1(2,k1_jordan9(A,1)))) ) )).
fof(t19_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r2_tarski(A,k1_jordan2c(2,B)) & k18_euclid(A) = k7_pscomp_1(k1_jordan2c(2,B)) ) ) ) )).
fof(t19_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k19_pscomp_1(B),k1_gobrd13(k1_jordan9(B,A),k1_jordan8(B,A),C)) ) ) ) )).
fof(t19_jordan1e,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),2)) = k7_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) ) ) )).
fof(t19_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k4_finseq_4(k1_jordan1e(B,A),k18_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) = 1 ) ) )).
fof(t19_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v2_goboard1(A) & v3_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_matrix_0(A) = k4_card_1(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k2_jordan1h(u1_struct_0(k15_euclid(2)),A))) ) )).
fof(t19_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(k1_nat_1(C,1),D),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1),D) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,E)) = k9_pscomp_1(k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t19_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k25_pscomp_1(B),A) ) => k25_pscomp_1(A) = k25_pscomp_1(B) ) ) ) )).
fof(t19_jordan1k,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ~ ( r1_xboole_0(B,C) & ~ r1_tarski(B,k2_jordan2c(A,C)) & ~ r1_tarski(B,k1_jordan2c(A,C)) ) ) ) ) )).
fof(t19_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & r2_tarski(E,A) & ~ r1_jordan5c(A,B,C,D,E) & ~ r1_jordan5c(A,B,C,E,D) ) ) ) ) ) ) )).
fof(t19_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k6_pscomp_1(A) = k6_pscomp_1(k9_jordan6(A)) ) )).
fof(t19_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(A,B))) & k1_jordan21(k3_topreal1(2,k1_jordan9(A,B))) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),C) ) ) ) ) ) )).
fof(t19_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v2_jordan23(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) ) => k7_partfun1(u1_struct_0(k15_euclid(2)),k4_jordan3(A,B,C),1) = B ) ) ) ) ) )).
fof(t19_jordan2b,axiom,( ! [A] : ( v1_xreal_0(A) => k3_euclid(k9_finseq_1(A)) = k9_finseq_1(k9_complex1(A)) ) )).
fof(t19_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & r2_tarski(C,k3_topreal1(2,A)) & B = k8_finseq_1(u1_struct_0(k15_euclid(2)),k3_finseq_6(u1_struct_0(k15_euclid(2)),A,1,k1_jordan3(A,C)),k12_finseq_1(u1_struct_0(k15_euclid(2)),C)) ) => ( C = k1_funct_1(A,1) | r1_jordan3(B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),C) ) ) ) ) ) )).
fof(t19_jordan4,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,k3_finseq_1(A)) & r1_xxreal_0(1,D) ) => ( r1_xxreal_0(C,B) | r1_xxreal_0(k1_nat_1(k7_nat_d(C,B),1),D) | k2_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C),D) = k2_topreal1(2,A,k7_nat_d(k2_xcmplx_0(D,B),1)) ) ) ) ) ) ) )).
fof(t19_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ( k3_seq_4(k1_rcomp_1(A,B)) = A & k2_seq_4(k1_rcomp_1(A,B)) = B ) ) ) ) )).
fof(t19_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & v4_topreal1(A) ) => ( B = k1_funct_1(A,k3_finseq_1(A)) | r2_tarski(B,k3_topreal1(2,k2_jordan3(A,B))) ) ) ) ) )).
fof(t19_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( v7_ordinal1(C) => ( ( v4_pre_topc(B,k15_euclid(2)) & v4_topreal1(A) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r2_tarski(k1_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),k2_topreal1(2,A,C)) ) => ( r1_xboole_0(k3_topreal1(2,A),B) | k1_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) = k1_jordan5c(k2_topreal1(2,A,C),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,C),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(t19_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_0_jordan5d(A) => k3_seq_4(B) = k1_pscomp_1(k1_pre_topc(k15_euclid(2),k14_pscomp_1(k3_topreal1(2,A))),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k14_pscomp_1(k3_topreal1(2,A)))) ) ) ) )).
fof(t19_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => r1_tarski(k3_jordan6(A,B,C,D),A) ) ) ) ) )).
fof(t19_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(2))))) ) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( v5_pre_topc(F,k5_topmetr,k15_euclid(2)) & v2_funct_1(F) & k2_relset_1(u1_struct_0(k15_euclid(2)),F) = A & k1_funct_1(F,k5_numbers) = B & k1_funct_1(F,1) = C & k1_funct_1(F,G) = D & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) & k1_funct_1(F,H) = E & r1_xxreal_0(k5_numbers,H) & r1_xxreal_0(H,1) & r1_jordan5c(A,B,C,D,E) ) => r1_xxreal_0(G,H) ) ) ) ) ) ) ) ) ) )).
fof(t19_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) & r2_tarski(D,k9_matrix_0(C)) & r2_tarski(D,k3_goboard5(C,A,B)) & D != k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B) & D != k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)) & D != k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1)) & D != k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B) ) ) ) ) ) )).
fof(t19_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,A) => v2_compts_1(k1_jordan7(A,B,k18_pscomp_1(A)),k15_euclid(2)) ) ) ) )).
fof(t19_knaster,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,A),D) = k3_knaster(B,C,D,A) ) ) ) ) )).
fof(t19_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( v2_prob_1(B) => ( ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ~ r1_xxreal_0(E,D) & ~ r2_hidden(C,k1_funct_1(B,E)) ) ) | r2_hidden(C,k2_kurato_0(A,B)) ) ) ) )).
fof(t19_kurato_1,axiom,( k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k6_kurato_1)))) = k3_rcomp_1(4,k1_xxreal_0) )).
fof(t19_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [E] : ( v7_ordinal1(E) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),D,E) = k9_subset_1(u1_struct_0(A),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,E),k8_nat_1(k9_setfam_1(u1_struct_0(A)),C,E)) ) => r1_tarski(k1_kurato_2(A,D),k9_subset_1(u1_struct_0(A),k1_kurato_2(A,B),k1_kurato_2(A,C))) ) ) ) ) ) )).
fof(t19_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_finseq_1(E,D) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,D,C,B) & m2_finseq_1(F,k3_finseq_2(D)) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,D,B,C) & m2_finseq_1(G,k3_finseq_2(D)) ) => ( G = k4_matrix_0(D,F) => ( ( B = k5_numbers & C != k5_numbers ) | k3_laplace(A,C,B,D,F,E) = k4_matrix_0(D,k3_matrix11(A,B,C,D,G,E)) ) ) ) ) ) ) ) ) ) )).
fof(t19_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => k1_funct_1(k1_latsubgr(A),k10_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) ) ) ) )).
fof(t19_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( v1_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) & v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A))) & r1_latsum_1(A,B) & C = E & D = F ) => k13_lattice3(A,C,D) = k13_lattice3(B,E,F) ) ) ) ) ) ) ) )).
fof(t19_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_lattices(A,B,B) = B ) ) )).
fof(t19_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_setwiseo(u1_lattices(A),u1_struct_0(A)) => k6_lattices(A) = k3_binop_1(u1_struct_0(A),u1_lattices(A)) ) ) )).
fof(t19_lattice3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ? [B] : ( ~ v2_struct_0(B) & v3_lattices(B) & v10_lattices(B) & l3_lattices(B) & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k3_lattice3(B) ) ) )).
fof(t19_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => k2_lattice4(A,k1_setwiseo(u1_struct_0(A))) = k6_lattices(A) ) )).
fof(t19_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k4_zfmisc_1(A,A,u1_struct_0(B),u1_struct_0(B))) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice5(A,B,C,D)) ) ) ) ) )).
fof(t19_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v2_lattice6(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k5_lattices(A) => ( v4_lattice6(B,A) <=> v3_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) ) ) ) ) )).
fof(t19_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => k5_lattice8(A,B,C,D,k1_ordinal1(E)) = k2_lattice8(k3_lattice8(A,E),B,k10_lattice5(k3_lattice8(A,E),B,k5_lattice8(A,B,C,D,E)),k4_lattice8(A,B,C,D,E)) ) ) ) ) ) )).
fof(t19_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_subset_1(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v18_lattices(D,A) & v21_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v2_filter_2(D,A) & r1_tarski(B,D) & r1_subset_1(D,C) ) ) ) ) ) ) )).
fof(t19_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r3_lattices(A,B,k6_lattices(A)) ) ) )).
fof(t19_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( r2_tarski(E,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & r2_tarski(E,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,D))) ) => k1_recdef_1(k5_lexbfs(A,B,C),E) = k1_recdef_1(k5_lexbfs(A,B,D),E) ) ) ) ) ) )).
fof(t19_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_lfuzzy_0(A))) => k13_lattice3(k4_lfuzzy_0(A),B,C) = k2_fuzzy_1(A,k5_lfuzzy_0(A,B),k5_lfuzzy_0(A,C)) ) ) ) )).
fof(t19_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => v2_lfuzzy_1(k1_lfuzzy_1(k2_zfmisc_1(A,A),B,k1_fuzzy_4(A,A,B)),A) ) ) )).
fof(t19_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_limfunc1(A) & v2_comseq_2(B) ) => v2_limfunc1(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t19_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc3(B,A) | r3_limfunc3(B,A) ) => r2_limfunc3(k56_valued_1(k1_numbers,k1_numbers,B),A) ) ) ) )).
fof(t19_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( r1_lmod_6(A,B,C) => r1_lmod_6(A,k1_vectsp_4(A,B),C) ) ) ) ) )).
fof(t19_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_lmod_7(A,B,C))) => m1_subset_1(D,u1_struct_0(k13_lmod_7(A,B,C))) ) ) ) ) )).
fof(t19_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( v1_funct_1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B))) & v1_funct_2(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),A,B) & v1_lopban_1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),A,B) & m1_subset_1(k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) )).
fof(t19_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_lopban_2(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_lopban_2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_lopban_2(A))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( k1_algstr_0(k9_lopban_2(A),B,C) = k1_algstr_0(k9_lopban_2(A),C,B) & k1_algstr_0(k9_lopban_2(A),k1_algstr_0(k9_lopban_2(A),B,C),D) = k1_algstr_0(k9_lopban_2(A),B,k1_algstr_0(k9_lopban_2(A),C,D)) & k1_algstr_0(k9_lopban_2(A),B,k4_struct_0(k9_lopban_2(A))) = B & ? [G] : ( m1_subset_1(G,u1_struct_0(k9_lopban_2(A))) & k1_algstr_0(k9_lopban_2(A),B,G) = k4_struct_0(k9_lopban_2(A)) ) & k6_algstr_0(k9_lopban_2(A),k6_algstr_0(k9_lopban_2(A),B,C),D) = k6_algstr_0(k9_lopban_2(A),B,k6_algstr_0(k9_lopban_2(A),C,D)) & k6_algstr_0(k9_lopban_2(A),B,k5_struct_0(k9_lopban_2(A))) = B & k6_algstr_0(k9_lopban_2(A),k5_struct_0(k9_lopban_2(A)),B) = B & k6_algstr_0(k9_lopban_2(A),B,k1_algstr_0(k9_lopban_2(A),C,D)) = k1_algstr_0(k9_lopban_2(A),k6_algstr_0(k9_lopban_2(A),B,C),k6_algstr_0(k9_lopban_2(A),B,D)) & k6_algstr_0(k9_lopban_2(A),k1_algstr_0(k9_lopban_2(A),C,D),B) = k1_algstr_0(k9_lopban_2(A),k6_algstr_0(k9_lopban_2(A),C,B),k6_algstr_0(k9_lopban_2(A),D,B)) & k1_rlvect_1(k9_lopban_2(A),k6_algstr_0(k9_lopban_2(A),B,C),E) = k6_algstr_0(k9_lopban_2(A),k1_rlvect_1(k9_lopban_2(A),B,E),C) & k1_rlvect_1(k9_lopban_2(A),k6_algstr_0(k9_lopban_2(A),B,C),k3_xcmplx_0(E,F)) = k6_algstr_0(k9_lopban_2(A),k1_rlvect_1(k9_lopban_2(A),B,E),k1_rlvect_1(k9_lopban_2(A),C,F)) & k1_rlvect_1(k9_lopban_2(A),k1_algstr_0(k9_lopban_2(A),B,C),E) = k1_algstr_0(k9_lopban_2(A),k1_rlvect_1(k9_lopban_2(A),B,E),k1_rlvect_1(k9_lopban_2(A),C,E)) & k1_rlvect_1(k9_lopban_2(A),B,k2_xcmplx_0(E,F)) = k1_algstr_0(k9_lopban_2(A),k1_rlvect_1(k9_lopban_2(A),B,E),k1_rlvect_1(k9_lopban_2(A),B,F)) & k1_rlvect_1(k9_lopban_2(A),B,k3_xcmplx_0(E,F)) = k1_rlvect_1(k9_lopban_2(A),k1_rlvect_1(k9_lopban_2(A),B,F),E) & k1_rlvect_1(k9_lopban_2(A),B,1) = B ) ) ) ) ) ) ) )).
fof(t19_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_bhsp_4(A,k4_normsp_1(A,B,C)),k4_normsp_1(A,k1_bhsp_4(A,B),C)) ) ) ) )).
fof(t19_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => k1_rlvect_1(A,k6_lopban_3(A,k3_rlvect_1(A,C,D),B),k7_xcmplx_0(1,k2_newton(B))) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k6_lopban_4(B,A,C,D)),B) ) ) ) ) ) )).
fof(t19_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_filter_0(D,A) => ( r2_tarski(k3_lattices(A,B,C),D) <=> ( r2_tarski(B,D) | r2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(t19_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_lpspacc1(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_lpspacc1(A,B,C))) => ( ( D = F & E = G ) => k2_valued_1(A,k2_numbers,k2_numbers,D,E) = k3_rlvect_1(k14_lpspacc1(A,B,C),F,G) ) ) ) ) ) ) ) ) )).
fof(t19_lpspace1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_rfunct_3(D,C,k1_numbers,k3_rfunct_3(C,k1_numbers)) => k1_binop_1(k13_rfunct_3(C),k1_binop_1(k4_lpspace1(C),A,D),k1_binop_1(k4_lpspace1(C),B,D)) = k1_binop_1(k4_lpspace1(C),k2_xcmplx_0(A,B),D) ) ) ) ) )).
fof(t19_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ~ r2_relset_1(A,k1_numbers,k26_valued_1(A,k1_numbers,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,B)),k2_power(C,D)),k2_mesfun6c(D,A,k26_valued_1(A,k1_numbers,k56_valued_1(A,k1_numbers,B),C))) ) ) ) ) ) )).
fof(t19_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,C,k3_hilbert1(k4_hilbert1(A,B),k5_ltlaxio1(k2_ltlaxio1(B),k2_ltlaxio1(k4_ltlaxio1(A,k4_hilbert1(A,B))))))) = 1 ) ) ) ) )).
fof(t19_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_hilbert1,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),k3_finseq_1(k2_ltlaxio2(A)))) = 1 <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k7_partfun1(k1_hilbert1,A,C)) = 1 ) ) ) ) ) )).
fof(t19_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_hilbert1)) => ( r2_tarski(k3_hilbert1(A,B),k5_ltlaxio3(C)) => ( r2_tarski(A,k5_ltlaxio3(C)) & r2_tarski(B,k5_ltlaxio3(C)) ) ) ) ) ) )).
fof(t19_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( r2_tarski(B,k9_ltlaxio4(A)) & r2_tarski(C,k8_ltlaxio4(A)) ) => r1_ltlaxio4(C,B) ) ) ) ) )).
fof(t19_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),k4_cqc_the1(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,B,D)),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(t19_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => m1_subset_1(k17_funcop_1(k6_finseq_1(A),B),k4_partfun1(k3_finseq_2(A),A)) ) ) )).
fof(t19_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,B) => r1_tarski(k1_mathmorp(A,D,C),k6_rusub_4(A,C,B)) ) ) ) ) ) )).
fof(t19_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( v1_matrix10(B) & v2_matrix10(C) & r1_matrix10(k3_matrix10(A,B),k3_matrix10(A,C)) ) => v2_matrix10(k4_matrix10(A,B,C)) ) ) ) ) )).
fof(t19_matrix11,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,B) & v3_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A))) & v3_funct_2(E,k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A))))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A))) & v3_funct_2(F,k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A))))) ) => ( ( k2_partfun1(k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),E,B) = C & k2_partfun1(k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),F,B) = D & k1_funct_1(E,A) = A & k1_funct_1(F,A) = A ) => ( k2_partfun1(k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),k1_partfun1(k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),F,E),B) = k1_partfun1(B,B,B,B,D,C) & k1_funct_1(k1_partfun1(k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),k2_xboole_0(B,k1_tarski(A)),F,E),A) = A ) ) ) ) ) ) )).
fof(t19_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),B,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ( r2_tarski(A,k4_finseq_1(k3_matrix_1(C,B))) => ( r1_xxreal_0(B,k5_numbers) | k4_matrix_3(C,E,k5_matrix12(B,B,C,k3_matrix_1(C,B),A,D)) = k5_matrix12(B,B,C,E,A,D) ) ) ) ) ) ) ) )).
fof(t19_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(C,k4_ordinal1)) => ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(B,k4_ordinal1)) => ( r1_tarski(k2_zfmisc_1(k10_xtuple_0(E),k10_xtuple_0(F)),k2_matrix_0(D)) => ( ( B = k5_numbers & C != k5_numbers ) | k1_matrix13(A,D,C,B,E,F) = k4_matrix_0(A,k1_matrix13(A,k4_matrix_0(A,D),B,C,F,E)) ) ) ) ) ) ) ) ) )).
fof(t19_matrix14,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v1_matrix_6(C,A,B) <=> ? [D] : ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) & k4_matrix_3(B,D,C) = k3_matrix_1(B,A) & k4_matrix_3(B,C,D) = k3_matrix_1(B,A) ) ) ) ) ) )).
fof(t19_matrix15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,B) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,D,C,A) & m2_finseq_1(F,k3_finseq_2(D)) ) => ( k6_matrix13(D,k1_matrix15(D,C,B,A,E,F),k2_finseq_1(C),k2_finseq_1(k1_matrix_0(E))) = E & k6_matrix13(D,k1_matrix15(D,C,B,A,E,F),k2_finseq_1(C),k7_subset_1(k4_ordinal1,k2_finseq_1(k2_xcmplx_0(k1_matrix_0(E),k1_matrix_0(F))),k2_finseq_1(k1_matrix_0(E)))) = F ) ) ) ) ) ) ) )).
fof(t19_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( ~ v1_xboole_0(F) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,F,D,D) & m2_finseq_1(G,k3_finseq_2(F)) ) => ( ( v3_matrix16(G,F) & r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k2_finseq_1(D),k2_finseq_1(D))) & C = k2_xcmplx_0(A,1) & E = k2_xcmplx_0(B,1) ) => ( r1_xxreal_0(D,A) | r1_xxreal_0(D,B) | k3_matrix_0(F,G,A,B) = k3_matrix_0(F,G,C,E) ) ) ) ) ) ) ) ) ) )).
fof(t19_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( v1_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k2_finseq_4(A,B,C),k2_finseq_4(A,D,E))) & v2_matrix_0(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k2_finseq_4(A,B,C),k2_finseq_4(A,D,E)),A,2,2) & m2_finseq_1(k2_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k2_finseq_4(A,B,C),k2_finseq_4(A,D,E)),k3_finseq_2(A)) ) ) ) ) ) ) )).
fof(t19_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => k4_matrix_3(B,C,k3_matrix_1(B,A)) = C ) ) ) )).
fof(t19_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ! [E] : ( ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(E) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) & k1_matrix_0(D) = k1_matrix_0(E) & k1_matrix_4(A,B,C) = k1_matrix_4(A,D,E) ) => k1_matrix_4(A,B,D) = k1_matrix_4(A,C,E) ) ) ) ) ) ) )).
fof(t19_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => k3_matrix_5(A,k8_matrix_5(k3_finseq_1(A),k1_matrix_0(A))) = A ) )).
fof(t19_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( C = k4_matrix_3(B,D,C) & v1_matrix_6(C,A,B) ) => r1_matrix_6(A,B,C,D) ) ) ) ) ) )).
fof(t19_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_6(C,A,B) & k4_matrix_3(B,C,D) = k4_matrix_3(B,C,E) ) => D = E ) ) ) ) ) ) )).
fof(t19_matrix_9,axiom,( k9_matrix_1(3) = k4_enumset1(k3_finseq_4(k4_ordinal1,1,2,3),k3_finseq_4(k4_ordinal1,3,2,1),k3_finseq_4(k4_ordinal1,1,3,2),k3_finseq_4(k4_ordinal1,2,3,1),k3_finseq_4(k4_ordinal1,2,1,3),k3_finseq_4(k4_ordinal1,3,1,2)) )).
fof(t19_matrixc1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k2_numbers,k4_finseq_2(A,k2_numbers)) => ! [D] : ( m2_finseq_2(D,k2_numbers,k4_finseq_2(A,k2_numbers)) => k9_matrix_5(k5_matrixc1(C,D),B) = k3_xcmplx_0(k9_matrix_5(C,B),k9_matrix_5(D,B)) ) ) ) ) )).
fof(t19_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => k11_matrixj1(A,k4_matrixj1(A,B)) = k9_finseq_1(k1_matrix_0(B)) ) ) )).
fof(t19_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,B) & l1_vectsp_1(D,B) ) => ! [E] : ( m1_vectsp_4(E,B,C) => ! [F] : ( m1_vectsp_4(F,B,C) => ! [G] : ( m1_vectsp_4(G,B,D) => ! [H] : ( m1_vectsp_4(H,B,D) => ! [I] : ( m1_matrlin(I,B,C) => ! [J] : ( m2_finseq_1(J,u1_struct_0(D)) => ! [K] : ( m1_matrlin(K,B,E) => ! [L] : ( m1_matrlin(L,B,F) => ! [M] : ( m2_finseq_1(M,u1_struct_0(G)) => ! [N] : ( m2_finseq_1(N,u1_struct_0(H)) => ! [O] : ( ( v1_matrix_0(O) & v2_matrix_0(O,u1_struct_0(B),k3_finseq_1(I),k3_finseq_1(J)) & m2_finseq_1(O,k3_finseq_2(u1_struct_0(B))) ) => ! [P] : ( ( v1_matrix_0(P) & v2_matrix_0(P,u1_struct_0(B),k3_finseq_1(K),k3_finseq_1(M)) & m2_finseq_1(P,k3_finseq_2(u1_struct_0(B))) ) => ! [Q] : ( ( v1_matrix_0(Q) & v2_matrix_0(Q,u1_struct_0(B),k3_finseq_1(L),k3_finseq_1(N)) & m2_finseq_1(Q,k3_finseq_2(u1_struct_0(B))) ) => ( ( I = k7_finseq_1(K,L) & J = k7_finseq_1(M,N) & O = k13_matrixj1(u1_struct_0(B),k4_struct_0(B),k5_matrixj1(u1_struct_0(B),P,Q)) & k1_matrix_0(P) = k3_finseq_1(M) & k1_matrix_0(Q) = k3_finseq_1(N) ) => ( ( r2_tarski(A,k4_finseq_1(K)) => k3_funct_2(u1_struct_0(C),u1_struct_0(D),k4_matrlin2(B,C,D,I,J,O),k7_partfun1(u1_struct_0(C),I,A)) = k3_funct_2(u1_struct_0(E),u1_struct_0(G),k4_matrlin2(B,E,G,K,M,P),k7_partfun1(u1_struct_0(E),K,A)) ) & ( r2_tarski(A,k4_finseq_1(L)) => k3_funct_2(u1_struct_0(C),u1_struct_0(D),k4_matrlin2(B,C,D,I,J,O),k7_partfun1(u1_struct_0(C),I,k1_nat_1(A,k3_finseq_1(K)))) = k3_funct_2(u1_struct_0(F),u1_struct_0(H),k4_matrlin2(B,F,H,L,N,Q),k7_partfun1(u1_struct_0(F),L,A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_matrixr1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_matrix_0(D)) ) => k8_matrix_0(u1_struct_0(B),k6_matrix_3(B,D,C),A) = k10_fvsum_1(k3_finseq_1(D),B,k8_matrix_0(u1_struct_0(B),D,A),C) ) ) ) ) ) )).
fof(t19_matrixr2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( k1_matrix_0(B) = k3_finseq_1(C) => ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) | r1_xxreal_0(k3_finseq_1(C),k5_numbers) | k4_matrix_3(A,B,k2_matrix_3(A,C)) = k2_matrix_3(A,k4_matrix_3(A,B,C)) ) ) ) ) ) )).
fof(t19_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_6(E,A,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k9_xtuple_0(C),k9_xtuple_0(C)) & v3_funct_2(F,k9_xtuple_0(C),k9_xtuple_0(C)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(C),k9_xtuple_0(C)))) ) => ( D = k1_partfun1(k9_xtuple_0(C),k9_xtuple_0(C),k4_ordinal1,u1_struct_0(B),F,C) => k3_vectsp_6(A,B,D,E) = k1_partfun1(k9_xtuple_0(C),k9_xtuple_0(C),k4_ordinal1,u1_struct_0(B),F,k3_vectsp_6(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(t19_matrlin2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_matrlin(D,B,C) => ( r2_tarski(A,k4_finseq_1(D)) => k9_matrlin(B,C,D,k7_partfun1(u1_struct_0(C),D,A)) = k7_matrix_0(u1_struct_0(B),k3_matrix_1(B,k3_finseq_1(D)),A) ) ) ) ) ) )).
fof(t19_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_matroid0(A,C,B) <=> ( r1_tarski(C,B) & k4_card_1(C) = k4_matroid0(A,B) ) ) ) ) ) )).
fof(t19_matrprob,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_1(E,A) => ! [F] : ( m2_finseq_1(F,A) => ~ ( k3_finseq_1(E) = D & k3_finseq_1(F) = D & ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,A,C,D) & m2_finseq_1(G,k3_finseq_2(A)) ) => ? [H] : ( v7_ordinal1(H) & r2_tarski(H,k2_finseq_1(C)) & ~ ( ( r2_tarski(H,k2_finseq_1(B)) => k1_matrprob(A,G,H) = E ) & ( ~ r2_tarski(H,k2_finseq_1(B)) => k1_matrprob(A,G,H) = F ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => k3_finseq_1(k11_matrix13(B,A,A,k3_matrix_1(B,A))) = A ) ) )).
fof(t19_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_funct_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(A))) ) => ~ ( v1_rlvect_3(k2_relset_1(u1_struct_0(k15_euclid(A)),B),k15_euclid(A)) & ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ~ ( v1_matrix_6(C,A,k2_vectsp_1) & k17_finseq_1(k3_finseq_2(u1_struct_0(k2_vectsp_1)),k3_finseq_1(B),C) = B ) ) ) ) ) )).
fof(t19_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | ( v4_matrix_6(k2_matrtop3(D,A,B,C),D,k2_vectsp_1) & k1_matrix_6(D,k2_vectsp_1,k2_matrtop3(D,A,B,C)) = k2_matrtop3(D,k4_xcmplx_0(A),B,C) ) ) ) ) ) ) ) )).
fof(t19_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_algstr_0(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B),C),B) = k5_algstr_0(A,B,C) ) ) ) )).
fof(t19_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r2_pboole(A,k7_pboole(A,B,C),k1_mboolean(A,k6_pboole(A,B,C))) ) ) )).
fof(t19_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_hidden(E,k2_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D))) => ( ( k1_xtuple_0(E) = A | k1_xtuple_0(E) = B ) & ( k2_xtuple_0(E) = C | k2_xtuple_0(E) = D ) ) ) )).
fof(t19_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) & k2_relset_1(k9_setfam_1(A),D) = k2_tarski(B,C) & k1_prob_2(A,k9_setfam_1(A),D,k5_numbers) = B & ! [E] : ( v7_ordinal1(E) => ( ~ r1_xxreal_0(E,k5_numbers) => k1_prob_2(A,k9_setfam_1(A),D,E) = C ) ) ) ) ) )).
fof(t19_measure2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k1_funct_1(B,k5_numbers) = k1_funct_1(A,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ( k1_funct_1(B,k1_nat_1(C,1)) = k6_subset_1(k1_funct_1(A,k1_nat_1(C,1)),k1_funct_1(A,C)) & r1_tarski(k1_funct_1(A,C),k1_funct_1(A,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(D,C) => r1_xboole_0(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(t19_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ! [E] : ( ( r2_tarski(D,B) & r2_tarski(E,B) ) => ! [F] : ( m1_measure3(F,A,B,C) => ! [G] : ( m1_measure3(G,A,B,C) => ( k2_xboole_0(D,F) = k2_xboole_0(E,G) => k12_supinf_2(C,D) = k12_supinf_2(C,E) ) ) ) ) ) ) )).
fof(t19_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v4_measure5(A) => A = k3_xxreal_1(k7_supinf_2(A),k8_supinf_2(A)) ) ) )).
fof(t19_measure8,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_measure4(C,A) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => r1_xxreal_0(k1_xxreal_3(k12_supinf_2(C,k9_subset_1(A,D,B)),k12_supinf_2(C,k9_subset_1(A,D,k6_subset_1(A,B)))),k12_supinf_2(C,D)) ) => r2_tarski(B,k1_measure4(A,C)) ) ) ) )).
fof(t19_member_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_member_1(k1_tarski(A)) = k1_tarski(k4_xcmplx_0(A)) ) )).
fof(t19_membered,axiom,( ! [A] : ! [B] : ( v1_membered(B) => ( r1_tarski(A,B) => v1_membered(A) ) ) )).
fof(t19_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(C)) => C = k1_funct_4(k7_memstr_0(A,B,k5_memstr_0(A,B,C)),k6_memstr_0(A,B,C)) ) ) ) ) )).
fof(t19_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,J)),k1_rlvect_1(k15_euclid(2),C,J)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,K)),k1_rlvect_1(k15_euclid(2),A,K)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,L)),k1_rlvect_1(k15_euclid(2),B,L)) & r2_rltopsp1(k15_euclid(2),A,D,H,I) & r2_rltopsp1(k15_euclid(2),B,E,G,I) & r2_rltopsp1(k15_euclid(2),C,F,G,H) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | J = 1 | K = 1 | L = 1 | ( k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(1,K),k3_xcmplx_0(J,K)),k2_xcmplx_0(k6_xcmplx_0(1,J),k3_xcmplx_0(L,J))),k2_xcmplx_0(k6_xcmplx_0(1,L),k3_xcmplx_0(K,L))) != k5_numbers & k1_euclid_6(G,H,I) = k3_xcmplx_0(k7_xcmplx_0(k1_square_1(k6_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(K,L),J),k3_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,K),k6_xcmplx_0(1,L)),k6_xcmplx_0(1,J)))),k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(1,K),k3_xcmplx_0(J,K)),k2_xcmplx_0(k6_xcmplx_0(1,J),k3_xcmplx_0(L,J))),k2_xcmplx_0(k6_xcmplx_0(1,L),k3_xcmplx_0(K,L)))),k1_euclid_6(A,B,C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( m1_subset_1(E,C) => ( ( E = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [F] : ( v7_ordinal1(F) => r1_mesfunc1(A,C,k4_mesfunc5(A,k6_numbers,B,F),E) ) & v1_mesfun10(B,A) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,E) => v10_mesfunc5(k3_mesfunc5(A,B,F)) ) ) ) => ( r1_xxreal_0(k1_supinf_1,k12_supinf_2(D,E)) | ( ! [F] : ( v7_ordinal1(F) => r1_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,F)) ) & r1_mesfunc5(A,C,D,k7_mesfunc8(A,B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k4_ordinal1,k6_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [G] : ( v7_ordinal1(G) => k12_supinf_2(F,G) = k7_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,G)) ) & v10_mesfunc5(F) & k2_mesfunc5(F) = k7_mesfunc5(A,C,D,k7_mesfunc8(A,B)) ) ) ) ) ) ) ) ) ) )).
fof(t19_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( k12_supinf_2(C,E) = k5_numbers => ( ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k1_relset_1(A,D) & r1_mesfunc1(A,B,D,F) ) ) | r1_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,E)) ) ) ) ) ) ) ) )).
fof(t19_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,C,E),D) ) ) => r1_mesfunc1(A,B,k6_mesfun7c(A,C),D) ) ) ) ) ) )).
fof(t19_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ( ! [E] : ( v7_ordinal1(E) => r3_mesfunc6(A,B,C,k4_mesfunc5(A,k1_numbers,D,E)) ) => ! [E] : ( v7_ordinal1(E) => r3_mesfunc6(A,B,C,k4_mesfunc5(A,k1_numbers,k2_mesfun9c(A,D),E)) ) ) ) ) ) ) )).
fof(t19_mesfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ! [F] : ( v1_xreal_0(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => k8_nat_1(B,C,G) = k9_subset_1(A,E,k16_mesfunc1(A,D,k6_xcmplx_0(F,k2_extreal1(1,k1_nat_1(G,1))))) ) => k9_subset_1(A,E,k17_mesfunc1(A,D,F)) = k1_measure2(A,B,k1_measure3(A,B,C)) ) ) ) ) ) )).
fof(t19_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( k12_supinf_2(k1_mesfunc2(A,B),C) = k12_supinf_2(B,C) => k12_supinf_2(k2_mesfunc2(A,B),C) = k1_supinf_2 ) ) ) ) )).
fof(t19_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v6_supinf_2(D) & v6_supinf_2(E) ) => v6_supinf_2(k3_mesfunc1(A,D,E)) ) ) ) ) ) ) )).
fof(t19_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( v1_xreal_0(F) => ( ( r1_mesfunc6(A,B,C,E) & r1_mesfunc6(A,B,D,E) & r1_tarski(E,k1_relset_1(A,D)) ) => r2_tarski(k8_subset_1(A,k8_subset_1(A,E,k10_mesfunc1(C,F)),k12_mesfunc1(D,F)),B) ) ) ) ) ) ) ) )).
fof(t19_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( k1_relset_1(A,k3_mesfunc1(A,k9_mesfunc1(A,B),k9_mesfunc1(A,C))) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & r1_tarski(k1_relset_1(A,k9_mesfunc1(A,k3_mesfunc1(A,B,C))),k1_relset_1(A,k9_mesfunc1(A,B))) ) ) ) ) )).
fof(t19_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,C,E),D) ) ) => ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,k4_mesfunc8(A,C),E),D) ) ) ) ) ) ) )).
fof(t19_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( r1_tarski(D,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers))) & ! [E] : ( v7_ordinal1(E) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,C,E),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,B,E),D)) ) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,D) => v10_mesfunc5(k3_mesfunc5(A,B,E)) ) ) ) => r2_relset_1(A,k6_numbers,k2_partfun1(A,k6_numbers,k7_mesfunc8(A,B),D),k7_mesfunc8(A,C)) ) ) ) ) )).
fof(t19_metric_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k10_metric_1(B,C,A) = a_3_5_metric_1(A,B,C) ) ) ) )).
fof(t19_metric_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( r2_tarski(A,k2_metric_2(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),C) ) ) ) )).
fof(t19_metric_3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => ( k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k16_metric_3,A,B) = k5_numbers <=> A = B ) ) ) )).
fof(t19_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_metric_6(A,C,B) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,D) & r2_tarski(D,k2_pcomps_1(A)) ) => r2_metric_6(A,D,C) ) ) ) ) ) ) )).
fof(t19_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( r1_ordinal1(k2_waybel23(A),B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(C,A) & v2_tex_2(C,A) ) => r1_ordinal1(k1_card_1(C),B) ) ) ) ) ) )).
fof(t19_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k10_funcsdom(k2_finseq_1(A)))) => ( C = B => k4_rlvect_1(k15_euclid(A),B) = k4_rlvect_1(k10_funcsdom(k2_finseq_1(A)),C) ) ) ) ) )).
fof(t19_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_midsp_1(A,B,C,D,E) => r2_midsp_1(A,k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E)) ) ) ) ) ) ) )).
fof(t19_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_midsp_2(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_midsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ( ( r1_midsp_2(u1_struct_0(B),A,C) & v1_midsp_2(C,B,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k1_midsp_1(B,k1_midsp_1(B,D,E),k1_midsp_1(B,F,G)) = k1_midsp_1(B,k1_midsp_1(B,D,F),k1_midsp_1(B,E,G)) ) ) ) ) ) ) ) ) )).
fof(t19_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_3(B,k1_nat_1(A,2)) ) => ! [C] : ( ( v4_midsp_2(C,B) & l1_midsp_2(C,B) ) => ( v2_midsp_3(B,A) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(B,C)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,C)))) => k9_midsp_3(A,B,C,D,F) = k9_midsp_3(A,B,C,E,F) ) ) ) ) ) ) ) )).
fof(t19_mmlquer2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( ! [C] : ( v7_ordinal1(C) => k7_relat_1(k8_funct_7(B,C),A) != k1_xboole_0 ) & v1_finset_1(A) & ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ( v7_ordinal1(D) => k9_relat_1(k8_funct_7(B,D),C) != k1_xboole_0 ) ) ) ) )).
fof(t19_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( r1_relset_1(A,A,E,F) & r1_tarski(B,C) & r1_relset_1(A,A,D,G) ) => r1_tarski(k6_mmlquery(A,G,B,E),k6_mmlquery(A,D,C,F)) ) ) ) ) ) ) ) )).
fof(t19_mod_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => m1_subset_1(k1_enumset1(B,C,D),A) ) ) ) ) )).
fof(t19_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k1_vectsp_7(A,B,C) = B & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r1_tarski(D,C) & v1_mod_3(D,A,B) ) ) ) ) ) ) )).
fof(t19_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( ~ v2_struct_0(k3_mod_4(A,B)) & v13_algstr_0(k3_mod_4(A,B)) & v2_rlvect_1(k3_mod_4(A,B)) & v3_rlvect_1(k3_mod_4(A,B)) & v4_rlvect_1(k3_mod_4(A,B)) & v2_vectsp_2(k3_mod_4(A,B),k2_mod_4(A)) & v4_vectsp_2(k3_mod_4(A,B),k2_mod_4(A)) & l1_vectsp_2(k3_mod_4(A,B),k2_mod_4(A)) ) ) ) )).
fof(t19_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ( k8_trees_2(A,k1_modal_1(A)) = 2 => k1_trees_2(A,k1_modal_1(A)) = k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1)),k14_trees_3(k5_numbers),k14_trees_3(1)) ) ) )).
fof(t19_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k30_modelc_1(B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))))) ) => ( r4_modelc_1(B,C,E,F,D,k7_modelc_1(A)) <=> ~ r4_modelc_1(B,C,E,F,D,A) ) ) ) ) ) ) ) )).
fof(t19_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ~ ( v2_modelc_2(A) & r1_modelc_2(B,A) ) ) ) )).
fof(t19_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ! [C] : ( ( v1_modelc_3(C,A) & l1_modelc_3(C,A) ) => ( r2_modelc_3(A,B,C) => r1_xxreal_0(k18_modelc_3(A,u2_modelc_3(A,C)),k6_xcmplx_0(k18_modelc_3(A,u2_modelc_3(A,B)),1)) ) ) ) ) )).
fof(t19_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => r1_xxreal_0(k11_nat_3(A,C),k11_nat_3(B,C)) ) => r1_nat_d(A,B) ) ) ) )).
fof(t19_moebius2,axiom,( k10_newton(5) = 13 )).
fof(t19_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_monoid_0(B,A) => ( ( v1_group_1(A) => v1_group_1(B) ) & ( v5_group_1(A) => v5_group_1(B) ) & ( v3_group_1(A) => v3_group_1(B) ) & ( v13_monoid_0(A) => v13_monoid_0(B) ) & ( v17_monoid_0(A) => v17_monoid_0(B) ) & ( v16_monoid_0(A) => v16_monoid_0(B) ) ) ) ) )).
fof(t19_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_monoid_1(B,A))) => ( k9_xtuple_0(C) = A & r1_tarski(k10_xtuple_0(C),u1_struct_0(B)) ) ) ) )).
fof(t19_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_tarski(k1_setfam_1(a_3_8_morph_01(A,B,C)),k1_morph_01(A,C,k6_setfam_1(u1_struct_0(A),B))) ) ) ) )).
fof(t19_msafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v3_msualg_1(B,A) & v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ? [C] : ( v3_msualg_1(C,A) & v4_msualg_1(C,A) & v2_msafree(C,A) & l3_msualg_1(C,A) & ? [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B)) & r2_msualg_3(A,C,B,D) & k6_msualg_3(A,C,B,D) = B ) ) ) ) )).
fof(t19_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msaterm(E,A,B,k2_msaterm(A,B,D)) => ( r2_tarski(k6_msaterm(A,B,k2_msaterm(A,B,D),E),k1_funct_1(k5_msafree3(A,B,C),k2_msualg_1(A,D))) <=> r1_tarski(k2_relset_1(k5_trees_3(u1_struct_0(k5_msafree(A,B))),E),k3_card_3(k5_msafree3(A,B,C))) ) ) ) ) ) ) )).
fof(t19_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => m3_pboole(k2_funct_6(D),A,C) ) ) ) )).
fof(t19_msafree5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v6_trees_3(D) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) ) => ( ( k4_finseq_1(E) = k4_finseq_1(D) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v3_trees_2(G) ) => ( ( r2_tarski(F,k4_finseq_1(D)) & G = k1_funct_1(D,F) ) => k1_funct_1(E,F) = k9_trees_4(G,C,B) ) ) ) ) => k9_trees_4(k4_trees_4(A,D),C,B) = k4_trees_4(A,E) ) ) ) ) )).
fof(t19_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(B,D)) => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,C),B),k5_msaterm(A,C,B,D,E)) = D ) ) ) ) ) )).
fof(t19_msscyc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( m1_trees_1(B,k9_xtuple_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => m1_trees_1(k17_finseq_1(k4_ordinal1,C,B),k9_xtuple_0(A)) ) ) ) )).
fof(t19_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( v2_relat_1(C) & v2_finset_1(k6_pboole(A,B,C)) ) => v2_finset_1(B) ) ) ) )).
fof(t19_mssublat,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & m1_msualg_2(C,A,B) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_msualg_1(A,B)))) ) => ( D = u1_struct_0(k12_msualg_1(A,C)) => u1_unialg_1(k12_msualg_1(A,C)) = k3_unialg_2(k12_msualg_1(A,B),D) ) ) ) ) ) )).
fof(t19_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,C)) => r1_tarski(k10_xtuple_0(k5_relat_1(k5_msualg_1(A,B,C),k1_funct_1(k3_relat_1(u1_msualg_1(A),k6_finseq_2(u1_struct_0(A),k9_msualg_2(A,C,D))),B))),k1_funct_1(k3_relat_1(u2_msualg_1(A),k9_msualg_2(A,C,D)),B)) ) ) ) ) )).
fof(t19_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => ( r2_msualg_3(A,B,C,D) <=> k6_msualg_3(A,B,C,D) = g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C)) ) ) ) ) ) ) )).
fof(t19_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k5_lattices(k6_msualg_5(A,B)) = k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)) ) ) )).
fof(t19_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),C,D) => ! [F] : ( m2_msualg_6(F,A,B,C,D) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( r1_msualg_6(A,D,E,B,G) => m2_msualg_6(k3_relat_1(F,G),A,B,C,E) ) ) ) ) ) ) ) ) ) )).
fof(t19_msualg_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m2_nat_lat(B,A) => ( v2_msualg_7(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k15_lattice3(A,C) = k15_lattice3(B,D) ) ) ) ) ) ) )).
fof(t19_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => v1_msualg_7(k6_msualg_5(A,B),k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))) ) ) )).
fof(t19_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,D)) => ( ( r2_msualg_3(A,B,C,E) & r1_msualg_3(A,B,D,F) ) => ! [G] : ( m2_pboole(G,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,D)) => ( r8_pboole(u1_struct_0(A),k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),u3_msualg_1(A,D),E,G),F) => r1_msualg_3(A,C,D,G) ) ) ) ) ) ) ) ) ) )).
fof(t19_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r2_alg_1(A,B,C) => r3_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) ) ) ) )).
fof(t19_mycielsk,axiom,( ! [A] : ( ( v1_necklace(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_dilworth(B,k3_necklace(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_necklace(A)))) ) ) ) )).
fof(t19_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v9_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ( ( v1_tops_2(k2_nagata_1(A,B),A) & v1_cantor_1(k2_nagata_1(A,B),A) & m1_subset_1(k2_nagata_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( v3_pre_topc(C,A) & r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,E) & r1_tarski(k2_pre_topc(A,E),C) & r2_tarski(E,k2_nagata_1(A,B)) ) ) ) ) ) ) ) ) ) )).
fof(t19_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v9_pre_topc(A) & v7_pre_topc(A) & ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v6_nagata_1(B,A) ) ) <=> v3_pcomps_1(A) ) ) )).
fof(t19_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k2_xcmplx_0(A,B),A) <=> r1_xxreal_0(1,B) ) ) ) )).
fof(t19_nat_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ ( A != 1 & r1_xxreal_0(A,1) ) ) )).
fof(t19_nat_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r1_xboole_0(k22_pre_poly(A,B),k22_pre_poly(A,C)) => k8_nat_3(A,k11_pre_poly(A,B,C)) = k3_xcmplx_0(k8_nat_3(A,B),k8_nat_3(A,C)) ) ) ) )).
fof(t19_nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,B) & r1_nat_d(A,k7_newton(B)) ) ) ) )).
fof(t19_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( v1_int_2(B) => k3_moebius1(k1_newton(B,A)) = a_2_0_nat_5(A,B) ) ) ) )).
fof(t19_nat_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( r2_int_1(k4_xcmplx_0(1),1,A) <=> ( A = 2 | A = 1 ) ) ) )).
fof(t19_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k2_nat_d(A,C) = k5_numbers => k1_nat_d(k2_xcmplx_0(A,B),C) = k2_xcmplx_0(k1_nat_d(A,C),k1_nat_d(B,C)) ) ) ) ) )).
fof(t19_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r1_nattra_1(A,B,C,D) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ! [F] : ( m1_nattra_1(F,A,B,C,D) => ( ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => k2_nattra_1(A,B,C,D,E,G) = k2_nattra_1(A,B,C,D,F,G) ) => r2_funct_2(u1_struct_0(A),u4_struct_0(B),E,F) ) ) ) ) ) ) ) ) )).
fof(t19_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r3_ncfcont1(B,A,C,D) <=> ( r2_tarski(D,k1_relset_1(u1_struct_0(B),C)) & ! [E] : ( m1_ncfcont1(E,A,k7_partfun1(u1_struct_0(A),C,D)) => ? [F] : ( m1_nfcont_1(F,B,D) & r1_tarski(k7_relset_1(u1_struct_0(B),u1_struct_0(A),C,F),E) ) ) ) ) ) ) ) ) )).
fof(t19_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r1_ncfcont2(A,B,C,D) => r7_ncfcont1(B,C,D,A) ) ) ) ) )).
fof(t19_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,k4_vfunct_1(k1_numbers,A,D,B))) & r2_ndiff_3(A,D,C) ) => ( r2_ndiff_3(A,k4_vfunct_1(k1_numbers,A,D,B),C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(k2_ndiff_3(A,k4_vfunct_1(k1_numbers,A,D,B),C),E) = k1_rlvect_1(A,k1_ndiff_3(A,D,E),B) ) ) ) ) ) ) ) ) )).
fof(t19_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_ndiff_4(A,B,C) => r1_nfcont_4(A,B,C) ) ) ) ) )).
fof(t19_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( ( r1_tarski(k1_rltopsp1(A,D,E),k1_relset_1(u1_struct_0(A),C)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(G,k1_rltopsp1(A,D,E)) => r1_nfcont_1(A,B,C,G) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(G,k2_ndiff_5(A,D,E)) => r1_ndiff_1(A,B,C,G) ) ) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_tarski(G,k2_ndiff_5(A,D,E)) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A,B),k3_ndiff_1(A,B,C,G)),F) ) ) ) => r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,E),k7_partfun1(u1_struct_0(B),C,D))),k3_xcmplx_0(F,k2_normsp_0(A,k5_algstr_0(A,E,D)))) ) ) ) ) ) ) ) )).
fof(t19_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,E,C,D) ) => ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,D) => ( ~ v2_struct_0(k1_funct_1(k2_ndiff_6(A,B),F)) & v13_algstr_0(k1_funct_1(k2_ndiff_6(A,B),F)) & v2_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v3_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v4_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v5_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v6_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v7_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v8_rlvect_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v3_normsp_0(k1_funct_1(k2_ndiff_6(A,B),F)) & v4_normsp_0(k1_funct_1(k2_ndiff_6(A,B),F)) & v2_normsp_1(k1_funct_1(k2_ndiff_6(A,B),F)) & l1_normsp_1(k1_funct_1(k2_ndiff_6(A,B),F)) & v1_funct_1(k1_funct_1(k5_ndiff_6(A,B,E,C),F)) & m1_subset_1(k1_funct_1(k5_ndiff_6(A,B,E,C),F),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,F))))) & k1_relset_1(u1_struct_0(A),k6_ndiff_6(A,B,E,C,F)) = C ) ) ) ) ) ) ) ) ) )).
fof(t19_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))),u1_struct_0(k7_prvect_3(A,B)),k4_ndiff_7(A,B,k3_ndiff_7(A,B)),k4_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) = k4_struct_0(k7_prvect_3(A,B)) ) ) )).
fof(t19_neckla_3,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => u1_orders_2(k3_necklace(B)) = k2_wellord1(u1_orders_2(k3_necklace(A)),u1_struct_0(k3_necklace(B))) ) ) )).
fof(t19_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( r2_tarski(B,u1_orders_2(k4_necklace(A))) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & ~ r1_xxreal_0(A,k1_nat_1(C,1)) & ( B = k4_tarski(C,k1_nat_1(C,1)) | B = k4_tarski(k1_nat_1(C,1),C) ) ) ) ) )).
fof(t19_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ( k2_net_1(A) != k1_xboole_0 => r1_tarski(k6_net_1(A,B),k2_net_1(A)) ) ) ) )).
fof(t19_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k3_newton(k5_numbers,A) = 1 ) )).
fof(t19_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(k2_xcmplx_0(k1_newton(A,E),k1_newton(B,E)),k1_newton(C,E)) => r1_xxreal_0(k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(D,E)),k1_newton(B,k2_xcmplx_0(D,E))),k1_newton(C,k2_xcmplx_0(D,E))) ) ) ) ) ) ) )).
fof(t19_nfcont_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r3_nfcont_1(B,C,D,A) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),D)) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( v1_xreal_0(F) => ~ ( r2_tarski(E,A) & ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(G,k5_numbers) & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ~ ( r2_tarski(H,A) & ~ r1_xxreal_0(G,k2_normsp_0(B,k5_algstr_0(B,H,E))) & r1_xxreal_0(F,k2_normsp_0(C,k5_algstr_0(C,k7_partfun1(u1_struct_0(C),D,H),k7_partfun1(u1_struct_0(C),D,E)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(B,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,C),k1_relset_1(k1_numbers,D))) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),C,B),A) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),D,B),A) ) => ( v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),k6_vfunct_1(k1_numbers,A,C,D),B),A) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),k2_vfunct_1(k1_numbers,A,C,D),B),A) ) ) ) ) ) )).
fof(t19_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_real_ns1(A))) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(C)))) ) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_euclid(A),u1_struct_0(k4_real_ns1(A)),u1_struct_0(C),E,F))) & r1_nfcont_4(A,E,B) & D = k7_partfun1(k1_euclid(A),E,B) & r1_nfcont_1(k4_real_ns1(A),C,F,D) ) => r1_nfcont_3(C,k1_partfun1(k1_numbers,k1_euclid(A),u1_struct_0(k4_real_ns1(A)),u1_struct_0(C),E,F),B) ) ) ) ) ) ) ) )).
fof(t19_normform,axiom,( ! [A] : k3_binop_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_normform(A)) = k1_domain_1(k5_finsub_1(A),k5_finsub_1(A),k1_setwiseo(A),k1_setwiseo(A)) )).
fof(t19_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_normsp_1(B,A) & v3_normsp_1(C,A) ) => v3_normsp_1(k1_normsp_1(A,B,C),A) ) ) ) ) )).
fof(t19_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k3_normsp_2(A)),u1_struct_0(k3_normsp_2(B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_normsp_2(A)),u1_struct_0(k3_normsp_2(B))))) ) => ( C = D => ( r3_nfcont_1(A,B,C,u1_struct_0(A)) <=> v5_pre_topc(D,k3_normsp_2(A),k3_normsp_2(B)) ) ) ) ) ) ) )).
fof(t19_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_normsp_3(B,A) & v1_normsp_3(C,A) & v3_nfcont_1(C,A) ) => v1_normsp_3(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t19_numbers,axiom,( r1_tarski(k4_ordinal1,k1_numbers) )).
fof(t19_numeral2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,1) => A = k1_nat_1(k3_xcmplx_0(B,k1_numeral1(k3_afinsq_2(k2_numeral1(A,B),2,k1_afinsq_1(k2_numeral1(A,B))),B)),k1_recdef_1(k2_numeral1(A,B),k5_numbers)) ) ) ) )).
fof(t19_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_numpoly1(A) = k7_xcmplx_0(k3_xcmplx_0(A,k2_xcmplx_0(A,1)),2) ) )).
fof(t19_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_o_ring_1(B,A) & v9_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t19_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ r3_lattices(A,C,B) => r2_tarski(k2_filter_0(A,C),k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k10_openlatt(A,C),k10_openlatt(A,B))) ) ) ) ) )).
fof(t19_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & k7_oppcat_1(A,B,D,k5_cat_1(A,B,C,D,E,F)) != k1_cat_1(k2_oppcat_1(A),k7_oppcat_1(A,C,D,F),k7_oppcat_1(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(t19_ordeq_01,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_rsspace4(B,C))) => ( E = D => k1_rlvect_1(k5_ordeq_01(B,C),D,A) = k1_rlvect_1(k9_rsspace4(B,C),E,A) ) ) ) ) ) ) )).
fof(t19_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(k1_rcomp_1(B,C),k1_relset_1(k1_numbers,D)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k1_rcomp_1(B,C)) => r1_nfcont_3(A,D,E) ) ) & r2_ndiff_3(A,D,k2_rcomp_1(B,C)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k2_rcomp_1(B,C)) => k1_ndiff_3(A,D,E) = k4_struct_0(A) ) ) ) => v3_funct_1(k2_partfun1(k1_numbers,u1_struct_0(A),D,k2_rcomp_1(B,C))) ) ) ) ) ) )).
fof(t19_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_wellord1(A) => ( v1_orders_1(A) & v2_orders_1(A) & v3_orders_1(A) ) ) ) )).
fof(t19_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ r2_tarski(B,k1_orders_2(A,k6_domain_1(u1_struct_0(A),B))) ) ) )).
fof(t19_ordinal1,axiom,( ! [A] : ( ! [B] : ( r2_tarski(B,A) => ( v3_ordinal1(B) & r1_tarski(B,A) ) ) => ( v1_ordinal1(A) & v2_ordinal1(A) ) ) )).
fof(t19_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( r2_tarski(A,B) => r2_tarski(A,k3_ordinal2(B)) ) ) )).
fof(t19_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( r2_tarski(A,B) => ( ( ~ ( r1_ordinal1(C,D) & D != k1_xboole_0 ) & ~ r2_tarski(C,D) ) | r2_tarski(k11_ordinal2(A,C),k11_ordinal2(B,D)) ) ) ) ) ) ) )).
fof(t19_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = k11_ordinal2(C,B) ) ) => ( B = k1_xboole_0 | v2_ordinal2(A) ) ) ) ) )).
fof(t19_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => k1_ordinal5(A,3) = k12_ordinal2(A,k12_ordinal2(A,A)) ) )).
fof(t19_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) => k10_xtuple_0(k2_ordinal6(A)) = A ) )).
fof(t19_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => k1_ortsp_1(A,B,C,D,D) = k1_group_1(A) ) ) ) ) ) )).
fof(t19_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),D)) <=> r2_hidden(k4_tarski(C,D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ( r2_hidden(k4_tarski(E,D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) => r2_hidden(k4_tarski(C,D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),E)) ) ) ) ) ) ) ) )).
fof(t19_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_orders_3(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => v12_osalg_1(B,A) ) ) )).
fof(t19_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ! [D] : ( m2_osalg_2(D,A,B) => ( r2_tarski(D,k5_osalg_2(A,B,C)) <=> ( v3_msualg_2(D,A,B) & r2_pboole(u1_struct_0(A),k3_osalg_2(A,B),D) & r2_pboole(u1_struct_0(A),C,D) ) ) ) ) ) ) )).
fof(t19_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r2_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) => r6_msualg_3(A,k16_osalg_4(A,B,k19_osalg_4(A,B,C,D)),C) ) ) ) ) ) )).
fof(t19_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_parsp_1(A,B,C,D,E) => r1_parsp_1(A,D,E,B,C) ) ) ) ) ) ) )).
fof(t19_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_parsp_2(A,F,B,C) & r1_parsp_2(A,F,B,D) & r1_parsp_2(A,F,C,E) ) => ( F = B | F = C | r1_parsp_1(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t19_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( k9_xtuple_0(D) = k1_tarski(A) & r2_hidden(A,B) & r2_tarski(k1_funct_1(D,A),C) ) => ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) ) )).
fof(t19_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_relset_1(B,C,E,k3_partfun2(B,C,A,D)) <=> ( ! [F] : ( m1_subset_1(F,B) => ( r2_tarski(F,k1_relset_1(B,E)) <=> ( r2_tarski(F,k1_relset_1(B,D)) & r2_tarski(k7_partfun1(C,D,F),A) ) ) ) & ! [F] : ( m1_subset_1(F,B) => ( r2_tarski(F,k1_relset_1(B,E)) => k7_partfun1(C,E,F) = k7_partfun1(C,D,F) ) ) ) ) ) ) ) ) )).
fof(t19_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ( ( r2_tarski(B,k3_partit1(A,E,F)) & r2_tarski(C,E) & r2_tarski(D,B) & r2_tarski(D,C) ) => r1_tarski(C,B) ) ) ) ) )).
fof(t19_partit_2,axiom,( k8_funct_5 = k1_tarski(k4_tarski(k1_xboole_0,k1_xboole_0)) )).
fof(t19_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r1_diraf(A,E,D,C) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_diraf(A,E,F,B) & r2_analoaf(A,C,B,D,F) ) ) ) ) ) ) ) ) )).
fof(t19_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r2_pboole(A,B,C) => r2_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,D)) ) ) ) ) )).
fof(t19_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k5_setfam_1(u1_struct_0(A),B),k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B))) ) ) )).
fof(t19_pcs_0,axiom,( ! [A] : ( ( v14_pcs_0(A) & l2_pcs_0(A) ) => ! [B] : ( ( v14_pcs_0(B) & l2_pcs_0(B) ) => ( r1_tsep_1(A,B) => v13_pcs_0(k19_pcs_0(A,B)) ) ) ) )).
fof(t19_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(1)))) ) => ( ( r2_relset_1(k1_euclid(A),k1_euclid(1),E,k3_pdiff_1(A,C)) & r4_pdiff_1(A,1,B,E,D) ) => k11_pdiff_1(A,1,B,E,D) = k9_finseq_1(k10_pdiff_1(A,B,C,D)) ) ) ) ) ) ) )).
fof(t19_pdiff_2,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( r3_pdiff_1(2,1,B,A) & r3_pdiff_1(2,1,C,A) ) => r3_pdiff_1(2,1,k20_valued_1(k1_euclid(2),k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t19_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ! [C] : ( m1_rcomp_1(C,k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(1,2),B)) => ( ( r3_pdiff_3(A,B) & r1_tarski(C,k1_relset_1(k1_numbers,k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B))) ) => ! [D] : ( ( v9_ordinal1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(1,2),B)) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B))))) & k4_pdiff_3(A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,1,k1_pdiff_3(2,2,A),B))))) ) ) ) ) ) ) ) ) )).
fof(t19_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( D = k11_finseq_1(A,B,C) => k10_pdiff_1(3,1,E,D) = k1_fdiff_1(k1_pdiff_2(3,1,E,D),A) ) ) ) ) ) ) )).
fof(t19_pdiff_5,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r1_pdiff_5(B,A) <=> r3_pdiff_1(3,1,k1_pdiff_3(1,3,B),A) ) ) ) )).
fof(t19_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r1_pdiff_1(A,B,C,D) => ( v1_funct_1(k8_pdiff_1(A,B,C,D)) & v1_funct_2(k8_pdiff_1(A,B,C,D),k1_euclid(A),k1_euclid(B)) & v1_pdiff_6(k8_pdiff_1(A,B,C,D),B,A) & v2_pdiff_6(k8_pdiff_1(A,B,C,D),B,A) & m1_subset_1(k8_pdiff_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) ) ) ) ) ) )).
fof(t19_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) & C = k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(E,A),D) ) => ( k8_euclid(A,k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,E,D),B),D) = k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,E,k5_euclid(A)),k5_real_1(B,C)) & k8_euclid(A,D,k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,E,D),B)) = k3_funct_2(k1_numbers,k1_euclid(A),k6_pdiff_1(A,E,k5_euclid(A)),k5_real_1(C,B)) ) ) ) ) ) ) ) )).
fof(t19_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)))) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)))) => ( ( G = k3_relat_1(C,k4_pdiff_1(F,B)) & H = k3_relat_1(D,k4_pdiff_1(F,B)) & r1_xxreal_0(1,F) & r1_xxreal_0(F,B) ) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),G,H)),E) ) ) ) ) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),k5_algstr_0(k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),C,D)),k3_xcmplx_0(B,E)) ) ) ) ) ) ) )).
fof(t19_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(A)))) => ? [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) & C = k1_funct_1(B,k12_finseq_1(k4_ordinal1,1)) & k2_normsp_0(k4_real_ns1(A),C) = k2_normsp_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(A)),B) ) ) ) )).
fof(t19_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_zfmisc_1(B) => ( v2_pencil_1(B,A) & v1_pencil_1(B,A) ) ) ) ) )).
fof(t19_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_pencil_1(C,A) => v1_pencil_1(k8_relset_1(u1_struct_0(A),u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t19_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_subset_1(D,A) => ( k1_funct_1(B,D) != k1_funct_1(C,D) => k1_pencil_3(A,B,C) = k1_nat_1(k1_pencil_3(A,B,k1_funct_7(C,D,k1_funct_1(B,D))),1) ) ) ) ) ) )).
fof(t19_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k1_vectsp_9(A,B),C) | v5_pencil_1(k5_pencil_4(A,B,C)) ) ) ) ) ) )).
fof(t19_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ v1_abian(A) & ~ v1_abian(B) & v1_abian(k3_xcmplx_0(A,B)) ) ) ) )).
fof(t19_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k7_petri(A,C)) <=> ~ r1_xboole_0(k8_petri(A,k6_domain_1(u4_struct_0(A),B)),C) ) ) ) ) )).
fof(t19_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( m1_pnproc_1(C,A) => ! [D] : ( m1_pnproc_1(D,A) => ( r2_pnproc_1(A,k2_pnproc_1(A,k4_pnproc_1(A,C),k4_pnproc_1(A,D)),B) => r1_pnproc_1(A,k6_pnproc_1(A,k6_pnproc_1(A,B,C),D),k2_pnproc_1(A,k2_pnproc_1(A,k3_pnproc_1(A,k3_pnproc_1(A,B,k4_pnproc_1(A,C)),k4_pnproc_1(A,D)),k5_pnproc_1(A,C)),k5_pnproc_1(A,D))) ) ) ) ) )).
fof(t19_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v3_polyalg1(C,A,B) & ! [D] : ( ( v1_polyalg1(D,A) & m1_polyalg1(D,A,B) ) => u1_struct_0(D) != C ) ) ) ) ) )).
fof(t19_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k4_polyeq_1(1,k5_numbers,A,B,C) = k5_numbers => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( C = k2_xcmplx_0(D,E) & k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(3,E),D),A) = k5_numbers & C != k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,2)),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B),4),k1_newton(k7_xcmplx_0(A,3),3))))),k1_power(3,k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,2)),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B),4),k1_newton(k7_xcmplx_0(A,3),3)))))) & C != k2_xcmplx_0(k1_power(3,k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,2)),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B),4),k1_newton(k7_xcmplx_0(A,3),3))))),k1_power(3,k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,2)),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B),4),k1_newton(k7_xcmplx_0(A,3),3)))))) & C != k2_xcmplx_0(k1_power(3,k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,2)),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B),4),k1_newton(k7_xcmplx_0(A,3),3))))),k1_power(3,k6_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(B,2)),k3_square_1(k2_xcmplx_0(k7_xcmplx_0(k1_square_1(B),4),k1_newton(k7_xcmplx_0(A,3),3)))))) ) ) ) ) ) ) ) )).
fof(t19_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( k1_square_1(B) = A & r1_xxreal_0(k5_numbers,k4_complex1(A)) & B != k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k7_complex1)) & B != k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k7_complex1)) ) ) ) )).
fof(t19_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( k2_xcmplx_0(k3_xcmplx_0(C,k1_newton(A,F)),k3_xcmplx_0(D,k1_newton(B,F))) = E & k3_xcmplx_0(A,B) = k5_numbers & v1_abian(F) & r1_xxreal_0(1,F) & ~ r1_xxreal_0(k7_xcmplx_0(E,D),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(E,C),k5_numbers) & k3_xcmplx_0(C,D) != k5_numbers & ~ ( A = k5_numbers & B = k1_power(F,k7_xcmplx_0(E,D)) ) & ~ ( A = k5_numbers & B = k4_xcmplx_0(k1_power(F,k7_xcmplx_0(E,D))) ) & ~ ( A = k1_power(F,k7_xcmplx_0(E,C)) & B = k5_numbers ) & ~ ( A = k4_xcmplx_0(k1_power(F,k7_xcmplx_0(E,C))) & B = k5_numbers ) ) ) ) ) ) ) ) )).
fof(t19_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(k3_xcmplx_0(k2_polyeq_5(A,B,C),k3_polyeq_5(A,B,C)),k4_polyeq_5(A,B,C)) = k4_xcmplx_0(A) ) ) ) )).
fof(t19_polyform,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(k7_finseq_1(A,B))) => ( r1_xxreal_0(D,k3_finseq_1(A)) | k1_funct_1(k7_finseq_1(k7_finseq_1(A,B),C),D) = k1_funct_1(B,k6_xcmplx_0(D,k3_finseq_1(A))) ) ) ) ) ) ) )).
fof(t19_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),C,k5_vfunct_1(k15_pre_poly(A),B,k5_vfunct_1(k15_pre_poly(A),B,C))) ) ) )).
fof(t19_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ( k3_polynom1(k15_pre_poly(A),B,C) = k1_tarski(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,C,E) = k6_algstr_0(B,k4_polynom1(A,B,C,D),k1_polynom2(A,D,B,E)) ) ) ) ) ) ) )).
fof(t19_polynom3,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k3_finseq_1(B),C) => k17_finseq_1(A,k1_nat_1(C,1),B) = k7_finseq_1(k17_finseq_1(A,C,B),k9_finseq_1(k1_funct_1(B,k1_nat_1(C,1)))) ) ) ) )).
fof(t19_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_polynom4(A,k8_polynom3(A,B,C),D) = k3_rlvect_1(A,k2_polynom4(A,B,D),k2_polynom4(A,C,D)) ) ) ) ) )).
fof(t19_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,B,k1_nat_1(C,1)),k12_polynom3(A,k3_polynom5(A,B,C),B)) ) ) ) )).
fof(t19_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k4_polynom7(A,B,k4_struct_0(B)),k8_polynom1(A,B)) ) )).
fof(t19_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k2_polynom8(A,C,k2_xcmplx_0(B,1)) = k8_group_1(A,k2_polynom8(A,C,B),k2_polynom8(A,C,1)) ) ) ) ) )).
fof(t19_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,k5_polynom7(A,B,C,D)),k3_polynom1(k15_pre_poly(A),B,C)) ) ) ) ) )).
fof(t19_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [G] : ( r2_tarski(G,k4_poset_1(k4_poset_2(A),k4_poset_2(B))) & G = k9_poset_2(A,B,C,D,E,F,G) ) ) ) ) ) ) ) )).
fof(t19_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) => ( v1_abian(B) | ( r1_xxreal_0(k1_power(B,A),k4_xcmplx_0(1)) & r1_xxreal_0(A,k1_power(B,A)) ) ) ) ) ) )).
fof(t19_pralg_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => r2_tarski(k3_funct_2(k3_msualg_1(B,D,k14_pralg_2(A,B,C)),k4_msualg_1(B,D,k14_pralg_2(A,B,C)),k5_msualg_1(B,D,k14_pralg_2(A,B,C)),E),k4_card_3(k9_pralg_2(A,B,k2_msualg_1(B,D),C))) ) ) ) ) )).
fof(t19_pre_circ,axiom,( ! [A] : k4_card_1(k1_trees_4(A)) = 1 )).
fof(t19_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k2_pre_ff(D) = k2_xcmplx_0(k3_xcmplx_0(B,k2_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),1))),k3_xcmplx_0(C,k2_pre_ff(k1_nat_1(k1_nat_1(k3_xcmplx_0(2,A),1),1)))) => k2_pre_ff(D) = k2_xcmplx_0(k3_xcmplx_0(B,k2_pre_ff(A)),k3_xcmplx_0(k2_xcmplx_0(C,B),k2_pre_ff(k1_nat_1(A,1)))) ) ) ) ) ) )).
fof(t19_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => k1_card_1(A) = k1_card_1(k10_xtuple_0(A)) ) )).
fof(t19_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k2_pre_topc(A,B),k2_pre_topc(A,C)) ) ) ) ) )).
fof(t19_prefer_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_relat_2(A) <=> ! [B] : ~ ( r2_hidden(B,k1_relat_1(A)) & r2_hidden(k4_tarski(B,B),A) ) ) ) )).
fof(t19_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_prelamb(A,k12_finseq_1(u1_struct_0(A),B),C) => ( r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k2_prelamb(A,C,B)) & r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k1_prelamb(A,B,C)) ) ) ) ) ) )).
fof(t19_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,B) ) => ( k1_newton(k2_prepower(B,A),B) = A & k2_prepower(B,k1_newton(A,B)) = A ) ) ) ) )).
fof(t19_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => m1_prob_1(k9_subset_1(A,C,D),A,B) ) ) ) )).
fof(t19_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m2_prob_1(E,A,B) => ( r1_prob_2(A,B,E,C,D) => r1_prob_2(A,B,E,D,C) ) ) ) ) ) ) )).
fof(t19_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r2_funct_2(k4_ordinal1,k9_setfam_1(A),k2_prob_3(A,k3_prob_3(A,B)),k2_prob_3(A,B)) ) )).
fof(t19_prob_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(C) => r2_funct_2(k4_ordinal1,k9_setfam_1(A),k2_prob_3(A,C),C) ) ) ) )).
fof(t19_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,B,C),B),k4_cqc_the1(A)) ) ) ) )).
fof(t19_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r1_collsp(A,H,B,C) & r1_collsp(A,H,D,E) & r1_collsp(A,H,F,G) ) => ( r1_projdes1(A,B,D,F,H) | H = C | H = E | H = G | ( ~ r1_collsp(A,C,E,G) & ~ r1_projdes1(A,C,E,G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ~ ( ~ r4_projpl_1(A,B,C,D) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),E) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,D),F) & E = F ) ) ) ) ) ) ) )).
fof(t19_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( r1_incsp_1(A,C,D) => ( r1_incsp_1(A,B,D) | r1_incsp_1(A,B,E) | m1_subset_1(k1_funct_1(k1_projred1(A,D,E,B),C),u1_incsp_1(A)) ) ) ) ) ) ) ) )).
fof(t19_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u1_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ! [N] : ( m1_subset_1(N,u2_incsp_1(A)) => ! [O] : ( m1_subset_1(O,u2_incsp_1(A)) => ! [P] : ( m1_subset_1(P,u2_incsp_1(A)) => ! [Q] : ( m1_subset_1(Q,u2_incsp_1(A)) => ! [R] : ( m1_subset_1(R,u2_incsp_1(A)) => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,G),N) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,I,E),O) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,E,H),P) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,E),Q) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,J),R) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,G,H),K) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,H,J),L) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),G,J,F),M) & r1_incsp_1(A,F,Q) ) => ( r1_incsp_1(A,B,N) | r1_incsp_1(A,B,P) | r1_incsp_1(A,C,O) | r1_incsp_1(A,C,P) | r1_incsp_1(A,F,N) | r1_projred2(A,N,O,P) | B = C | C = F | ( ~ r1_incsp_1(A,C,R) & ~ r1_incsp_1(A,F,R) & N != R ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_prvect_1(B,A) => ! [C] : ( m1_subset_1(C,k4_card_3(A)) => ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(A)) => r3_binop_1(k1_funct_1(A,D),k8_prvect_1(A,C,D),k9_prvect_1(A,B,D)) ) => r3_binop_1(k4_card_3(A),C,k12_prvect_1(A,B)) ) ) ) ) )).
fof(t19_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = k10_finseq_1(D,E) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( ( C = k10_finseq_1(E,G) & D = k10_finseq_1(F,H) ) => k3_rlvect_1(k14_prvect_2(k10_finseq_1(A,B)),C,D) = k10_finseq_1(k3_rlvect_1(A,E,F),k3_rlvect_1(B,G,H)) ) ) ) ) ) ) ) & k4_struct_0(k14_prvect_2(k10_finseq_1(A,B))) = k10_finseq_1(k4_struct_0(A),k4_struct_0(B)) & ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( C = k10_finseq_1(D,E) => k4_algstr_0(k14_prvect_2(k10_finseq_1(A,B)),C) = k10_finseq_1(k4_algstr_0(A,D),k4_algstr_0(B,E)) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( v1_xreal_0(F) => ( C = k10_finseq_1(D,E) => k1_rlvect_1(k14_prvect_2(k10_finseq_1(A,B)),C,F) = k10_finseq_1(k1_rlvect_1(A,D,F),k1_rlvect_1(B,E,F)) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(k10_finseq_1(A,B)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( C = k10_finseq_1(D,E) & ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(2)) => ~ ( F = k10_finseq_1(k2_normsp_0(A,D),k2_normsp_0(B,E)) & k2_normsp_0(k14_prvect_2(k10_finseq_1(A,B)),C) = k12_euclid(F) ) ) ) ) ) ) ) ) ) )).
fof(t19_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = a_2_0_pscomp_1(B,C) => v3_pre_topc(A,k15_euclid(2)) ) ) ) ) )).
fof(t19_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),B,k6_pua2mss1(A)) => ( v1_partfun1(k7_pua2mss1(A,B),u1_struct_0(A)) & v3_relat_2(k7_pua2mss1(A,B)) & v8_relat_2(k7_pua2mss1(A,B)) ) ) ) ) )).
fof(t19_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ~ ( ~ v1_xboole_0(A) & r6_pboole(A,k3_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)),k1_pboole(A)) & B = C ) ) ) )).
fof(t19_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v2_qc_lang1(B,A) => ( k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) != k5_numbers & k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) != 1 & k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) != 2 & k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,B),1)) != 3 ) ) ) ) )).
fof(t19_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( v5_qc_lang1(k6_qc_lang2(A,B,C,D),A) & k21_qc_lang1(A,k6_qc_lang2(A,B,C,D)) = B & k22_qc_lang1(A,k6_qc_lang2(A,B,C,D)) = k15_qc_lang1(A,C,D) ) ) ) ) ) )).
fof(t19_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k24_qc_lang1(A,k5_qc_lang2(A,B,C)) = k7_subset_1(k3_qc_lang1(A),k24_qc_lang1(A,C),k1_tarski(B)) ) ) ) )).
fof(t19_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k3_qc_lang4(A,B,C) = a_3_0_qc_lang4(A,B,C) ) ) ) )).
fof(t19_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ? [C] : ( v4_card_3(C) & m1_qc_lang1(C) & m2_subset_1(B,k9_qc_lang1(C),k3_cqc_lang(C)) & v1_qc_trans(A,C) ) ) ) )).
fof(t19_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v17_quantal1(B,A) => ( v1_group_1(A) & k3_binop_1(u1_struct_0(A),u2_algstr_0(A)) = k1_quantal1(A,B,B) & k3_binop_1(u1_struct_0(A),u2_algstr_0(A)) = k2_quantal1(A,B,B) ) ) ) ) )).
fof(t19_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => k23_quaterni(A) = k22_quaterni(k23_quaterni(k2_quatern2),A) ) )).
fof(t19_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k21_quaterni(k22_quaterni(k3_quatern2,A),k22_quaterni(A,k3_quatern2)) = k5_quaterni(k4_xcmplx_0(k3_xcmplx_0(2,k13_quaterni(A))),k3_xcmplx_0(2,k12_quaterni(A)),k5_numbers,k5_numbers) ) )).
fof(t19_quaterni,axiom,( k9_quaterni(k1_xcmplx_0,k10_quaterni) = k7_quaterni(k9_quaterni(k10_quaterni,k1_xcmplx_0)) )).
fof(t19_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k1_quin_1(B,C,D),k5_numbers) & ~ ( ~ ( ~ r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D)) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B)),A) & r1_xxreal_0(A,k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B))) ) & ~ ( ~ ( r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B)),A) & r1_xxreal_0(A,k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(C),k3_square_1(k1_quin_1(B,C,D))),k3_xcmplx_0(2,B))) ) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D)) ) ) ) ) ) ) ) )).
fof(t19_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => k12_quofield(A) != k11_quofield(A) ) )).
fof(t19_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => k12_radix_1(k5_numbers,A) = k5_numbers ) )).
fof(t19_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(2,A) & r2_hidden(B,k3_radix_1(A)) & r2_hidden(C,k4_radix_3(A)) ) => r2_hidden(k6_radix_3(k2_xcmplx_0(B,C),A),k3_radix_3(A)) ) ) ) ) )).
fof(t19_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k2_finseq_1(A)) & r1_xxreal_0(2,C) ) => k8_radix_1(k2_xcmplx_0(A,1),C,k6_radix_5(k2_xcmplx_0(A,1),k2_xcmplx_0(B,1),C)) = k2_xcmplx_0(k8_radix_1(k2_xcmplx_0(A,1),C,k6_radix_5(k2_xcmplx_0(A,1),B,C)),k8_radix_1(k2_xcmplx_0(A,1),C,k8_radix_5(k2_xcmplx_0(A,1),B,C))) ) ) ) ) )).
fof(t19_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_hidden(B,k2_finseq_1(A)) & r1_xxreal_0(2,C) ) => k8_radix_1(A,C,k10_radix_6(A,B,C)) = 1 ) ) ) ) ) )).
fof(t19_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ! [D] : ( m1_random_1(D,A,B) => m1_random_1(k47_valued_1(A,k1_numbers,k1_numbers,C,D),A,B) ) ) ) ) )).
fof(t19_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( k1_funct_1(k5_random_3(A),k5_numbers) = k1_funct_1(A,k5_numbers) & k1_funct_1(k5_random_3(A),1) = k2_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1)) & k1_funct_1(k5_random_3(A),2) = k3_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2)) & k1_funct_1(k5_random_3(A),3) = k4_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2),k1_funct_1(A,3)) ) ) )).
fof(t19_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( m1_vectsp_4(B,A,C) => m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) ) ) ) ) ) )).
fof(t19_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( k2_rat_1(A) = A <=> k1_rat_1(A) = 1 ) ) )).
fof(t19_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & l5_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => B = k3_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B)) ) ) )).
fof(t19_rcomp_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & r1_tarski(k2_rcomp_1(k6_xcmplx_0(B,C),k2_xcmplx_0(B,C)),A) ) ) ) ) ) )).
fof(t19_rcomp_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v5_xxreal_2(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( ~ r2_hidden(k3_seq_4(A),A) & ~ r2_hidden(k2_seq_4(A),A) & A != k2_rcomp_1(k3_seq_4(A),k2_seq_4(A)) ) ) )).
fof(t19_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( A != k5_numbers => B = k1_nat_1(k3_xcmplx_0(k8_nat_1(k4_ordinal1,k2_real_3(B,A),k5_numbers),A),k8_nat_1(k4_ordinal1,k1_real_3(B,A),k5_numbers)) ) ) ) )).
fof(t19_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k5_real_lat(A),k1_funcsdom(A,k1_numbers,k4_real_lat(A),B,C),B),B) ) ) ) )).
fof(t19_realset2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) ) )).
fof(t19_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_binop_1(u1_struct_0(A),k1_realset3(A),B,k4_binop_1(u1_struct_0(A),u1_algstr_0(A),C,D)) = k4_binop_1(u1_struct_0(A),k1_realset3(A),k4_binop_1(u1_struct_0(A),k1_realset3(A),B,C),D) ) ) ) ) )).
fof(t19_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k21_rfunct_3(A,k3_rearran1(B,A,D,C),A) = k21_rfunct_3(B,C,B) ) ) ) ) ) )).
fof(t19_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => r1_tarski(k1_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) ) ) )).
fof(t19_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) => ( r1_tarski(A,B) => r2_relset_1(A,C,k5_relset_1(A,C,D,B),D) ) ) )).
fof(t19_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) => ( r2_tarski(A,k9_xtuple_0(k3_relset_2(B,D))) => k1_funct_1(k3_relset_2(B,D),A) = k7_relset_1(B,C,D,A) ) ) )).
fof(t19_revrot_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => k16_euclid(A) != k22_euclid(A) ) )).
fof(t19_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) => ( r2_hidden(B,k1_relat_1(A)) <=> r2_hidden(C,k1_relat_1(A)) ) ) ) )).
fof(t19_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ( ( r1_relset_1(k8_afinsq_1(A),k8_afinsq_1(A),B,C) & r2_rewrite2(A,B,D,E) ) => r2_rewrite2(A,C,D,E) ) ) ) ) ) )).
fof(t19_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(D)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(D)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k8_afinsq_1(D))) => ! [H] : ( ( v2_rewrite3(H,D,G) & l1_rewrite3(H,G) ) => ( ( r1_rewrite3(G,H,A,E,B) & r1_rewrite3(G,H,A,F,C) ) => ( E = F | ! [I] : ( m1_subset_1(I,k8_afinsq_1(D)) => ( k1_flang_1(D,E,I) != F & k1_flang_1(D,F,I) != E ) ) ) ) ) ) ) ) ) )).
fof(t19_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v8_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => ( r1_xxreal_0(C,B) | r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,B)) ) ) ) ) ) ) )).
fof(t19_rfinseq2,axiom,( ! [A] : ( ( v7_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( ( v7_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( r2_classes1(A,B) => A = B ) ) ) )).
fof(t19_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k45_valued_1(A,B) = k24_valued_1(k45_valued_1(B,A),k4_xcmplx_0(1)) ) ) )).
fof(t19_rfunct_2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( v5_xxreal_2(k7_relset_1(B,k1_numbers,C,A)) & k2_seq_4(k7_relset_1(B,k1_numbers,C,A)) = k3_seq_4(k7_relset_1(B,k1_numbers,C,A)) ) => v3_funct_1(k2_partfun1(B,k1_numbers,C,A)) ) ) ) )).
fof(t19_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k14_rfunct_3(A,k6_finseq_1(k3_rfunct_3(A,k1_numbers))) = k7_funcop_1(k2_subset_1(A),k5_numbers) ) )).
fof(t19_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_seq_2(A) & v4_partfun3(A) ) => r1_xxreal_0(k5_numbers,k1_rinfsup1(A)) ) ) )).
fof(t19_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ~ ( v7_mesfunc5(A) & ! [B] : ( v7_ordinal1(B) => ~ v3_rinfsup2(k1_valued_0(k6_numbers,A,B)) ) ) ) )).
fof(t19_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v5_group_1(A) & v3_ring_1(B,A) ) => v33_algstr_0(k2_ring_1(A,B)) ) ) ) )).
fof(t19_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_gcd_1(A,B,C) <=> r1_tarski(k7_ideal_1(A,k6_domain_1(u1_struct_0(A),C)),k7_ideal_1(A,k6_domain_1(u1_struct_0(A),B))) ) ) ) ) )).
fof(t19_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( m3_ringcat1(B,k10_ringcat1(A)) => ! [C] : ( m3_ringcat1(C,k10_ringcat1(A)) => ~ ( k11_ringcat1(A,B) = k12_ringcat1(A,C) & ! [D] : ( m2_ringcat1(D,A) => ! [E] : ( m2_ringcat1(E,A) => ! [F] : ( m2_ringcat1(F,A) => ~ ( r1_ringcat1(D,E) & r1_ringcat1(E,F) & m1_ringcat1(B,E,F) & m1_ringcat1(C,D,E) ) ) ) ) ) ) ) ) )).
fof(t19_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_rlvect_2(A,k1_rlaffin1(A,k1_rlaffin1(A,B,D),C),k1_rlaffin1(A,B,k3_rlvect_1(A,C,D))) ) ) ) ) )).
fof(t19_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & v1_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(k1_funct_1(k2_rlaffin2(A),B),B) <=> k4_card_1(B) = 1 ) ) ) )).
fof(t19_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_rlaffin1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [D] : ( m2_rlaffin3(D,k15_euclid(A),C) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( k8_matrix13(k2_vectsp_1,E) = A => ! [F] : ( m2_rlaffin3(F,k15_euclid(B),k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,E),C)) => ( F = k4_finseqop(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),D,k3_matrtop1(A,B,E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) => ( r2_tarski(G,k4_rlaffin1(k15_euclid(A),C)) => k1_rlaffin3(k15_euclid(A),C,D,G) = k1_rlaffin3(k15_euclid(B),k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,E),C),F,k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,E),G)) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => r1_struct_0(A,k4_struct_0(B)) ) ) )).
fof(t19_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( k2_rlsub_2(A,k1_rlsub_1(A),k2_rlsub_1(A)) = k1_rlsub_1(A) & k2_rlsub_2(A,k2_rlsub_1(A),k1_rlsub_1(A)) = k1_rlsub_1(A) ) ) )).
fof(t19_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k2_convex1(A,C),k2_convex1(A,B)) ) ) ) ) )).
fof(t19_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B = k4_algstr_0(A,B) => B = k4_struct_0(A) ) ) ) )).
fof(t19_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),k1_numbers,B,C) = k5_numbers <=> ~ r2_tarski(C,k3_rlvect_2(A,B)) ) ) ) ) )).
fof(t19_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = u1_struct_0(A) => k1_rlvect_3(A,B) = A ) ) ) )).
fof(t19_rlvect_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( v1_rlvect_3(k7_domain_1(u1_struct_0(B),C,D),B) => ( C = D | A = k5_numbers | v1_rlvect_3(k7_domain_1(u1_struct_0(B),C,k1_rlvect_1(B,D,A)),B) ) ) ) ) ) ) )).
fof(t19_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,u1_struct_0(B)) => m1_rlsub_1(k1_rlvect_3(A,C),B) ) ) ) ) )).
fof(t19_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(A,k2_rlvect_x(B,k7_domain_1(u1_struct_0(B),C,D))) <=> ? [E] : ( v1_int_1(E) & ? [F] : ( v1_int_1(F) & A = k3_rlvect_1(B,k1_rlvect_1(B,C,E),k1_rlvect_1(B,D,F)) ) ) ) ) ) ) )).
fof(t19_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => r1_struct_0(B,k4_struct_0(C)) ) ) ) )).
fof(t19_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => ( m1_rmod_2(C,A,E) => m1_rmod_2(k2_rmod_3(A,B,C,D),A,E) ) ) ) ) ) ) )).
fof(t19_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( m2_rmod_4(E,A,B,C) => ( r1_tarski(C,D) => m2_rmod_4(E,A,B,D) ) ) ) ) ) ) )).
fof(t19_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_robbins1(A,B,k6_lattices(A)) = k6_lattices(A) ) ) )).
fof(t19_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),k3_robbins1(A,C))) = C ) ) ) )).
fof(t19_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_robbins1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l2_robbins1(B) ) => ( ( g2_robbins1(u1_struct_0(A),u2_lattices(A),u1_robbins1(A)) = g2_robbins1(u1_struct_0(B),u2_lattices(B),u1_robbins1(B)) & v9_robbins3(A) ) => v9_robbins3(B) ) ) ) )).
fof(t19_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_robbins4)) => ( ( A = k6_subset_1(3,1) & B = 2 ) => ( k3_lattices(k2_robbins4,A,B) = 3 & k4_lattices(k2_robbins4,A,B) = k5_numbers ) ) ) ) )).
fof(t19_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => k4_roughs_1(A,k1_struct_0(A)) = k1_xboole_0 ) )).
fof(t19_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( k1_funct_1(B,A) = A => k1_funct_1(k5_roughs_2(A,B),k1_xboole_0) = k1_xboole_0 ) ) )).
fof(t19_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ v5_isomichi(B,A) ) ) )).
fof(t19_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_tarski(B,C) => r1_xxreal_0(k1_rpr_1(A,B),k1_rpr_1(A,C)) ) ) ) ) )).
fof(t19_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_rsspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_rsspace4(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_rsspace4(A,B))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_rsspace4(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,u1_struct_0(B)) & v1_rsspace4(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,u1_struct_0(B)) & v1_rsspace4(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( F = C & G = D & H = E ) => ( E = k1_algstr_0(k9_rsspace4(A,B),C,D) <=> ! [I] : ( m1_subset_1(I,A) => k3_funct_2(A,u1_struct_0(B),H,I) = k3_rlvect_1(B,k3_funct_2(A,u1_struct_0(B),F,I),k3_funct_2(A,u1_struct_0(B),G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => m1_rusub_1(A,A) ) )).
fof(t19_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( k2_rusub_2(A,k1_rusub_1(A),k2_rusub_1(A)) = k1_rusub_1(A) & k2_rusub_2(A,k2_rusub_1(A),k1_rusub_1(A)) = k1_rusub_1(A) ) ) )).
fof(t19_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rlvect_2(C,B) => ? [D] : ( m1_rlvect_2(D,A) & k3_rlvect_2(B,C) = k3_rlvect_2(A,D) & k6_rlvect_2(B,C) = k6_rlvect_2(A,D) ) ) ) ) )).
fof(t19_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r1_xxreal_0(B,k1_rusub_4(A)) & v1_xboole_0(k2_rusub_4(A,B)) ) ) ) )).
fof(t19_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => k1_rusub_5(A,B,k6_domain_1(u1_struct_0(A),C)) = k3_tarski(a_2_0_rusub_5(A,B)) ) ) ) ) )).
fof(t19_rvsum_1,axiom,( k6_rvsum_1(k6_finseq_1(k1_numbers)) = k6_finseq_1(k1_numbers) )).
fof(t19_rvsum_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k2_numbers) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k2_numbers) ) => C = k8_rvsum_2(A,k4_rvsum_2(A,C,B),B) ) ) ) )).
fof(t19_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => k3_rvsum_3(A) = k2_xboole_0(k5_rvsum_3(A),k6_rvsum_3(A)) ) )).
fof(t19_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k6_ami_3(k10_ami_3(k5_numbers),k10_ami_3(1))),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),k10_ami_3(k5_numbers)) = k4_int_1(B,C) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),k10_ami_3(1)) = k5_int_1(B,C) & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => ~ ( E != k10_ami_3(k5_numbers) & E != k10_ami_3(1) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) != k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(t19_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(C) & v2_scm_halt(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) ) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k2_scmfsa6a(C,D),A,B),k9_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(D,k1_scmfsa6b(C,A,B),B),k4_card_1(C))) ) ) ) ) )).
fof(t19_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 2 => k6_compos_0(u1_compos_1(k1_scmfsa_2),A) = k1_tarski(k1_xboole_0) ) ) )).
fof(t19_scmfsa6a,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => k5_scmfsa6a(A,B) = k4_scmfsa6a(k11_compos_1(k1_scmfsa_2,A),B) ) ) )).
fof(t19_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k2_scmfsa6a(C,D)),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))) = k2_xcmplx_0(k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),1),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(B,C),D),k1_funct_4(k6_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k1_funct_4(A,k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1)))),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,k17_funcop_1(k4_scmfsa_2(k5_numbers),1))))) ) ) ) ) )).
fof(t19_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v6_amistd_1(A,k5_card_1(3),k1_scmfsa_2) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => r5_scmfsa7b(A,B,C) ) ) ) ) )).
fof(t19_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( r5_scmfsa7b(C,B,A) => ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) | r5_scmfsa7b(k2_scmfsa8b(E,C,D),B,A) ) ) ) ) ) ) ) )).
fof(t19_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( k1_funct_1(C,k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(E,C,A) & ! [F] : ( ( v1_ami_2(F) & ~ v1_scmfsa_m(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(C,F) = k1_funct_1(D,F) ) & ! [F] : ( m1_scmfsa_2(F) => k18_scmfsa_2(C,F) = k18_scmfsa_2(D,F) ) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(E,C,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(E,D,B)) ) ) ) ) ) ) )).
fof(t19_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( v7_ordinal1(B) => k1_funct_1(k6_scmfsa_1(A,B),k4_ordinal1) = B ) ) )).
fof(t19_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k7_scmfsa_2(A,B)) = 2 ) ) )).
fof(t19_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( v7_ordinal1(E) => ( ( r5_scmfsa7b(C,D,A) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(B,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k2_xcmplx_0(1,E))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),E)),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(B,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k2_xcmplx_0(1,E))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),E)) ) => ( r1_xxreal_0(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)),E) | ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(B,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(k2_xcmplx_0(1,E),1))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(E,1))),3) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(B,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(k2_xcmplx_0(1,E),1))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(E,1))) ) ) ) ) ) ) ) ) )).
fof(t19_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,A) ) ) )).
fof(t19_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k1_nat_1(k4_card_1(B),5),C) => r2_tarski(C,k2_afinsq_1(k4_scmfsa_x(A,B))) ) ) ) ) )).
fof(t19_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( r1_xxreal_0(k1_funct_1(B,D),k5_numbers) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k4_scmfsa_x(D,C),B,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(B)) ) ) ) ) ) )).
fof(t19_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k10_scmpds_2(C,A,B)) = 7 ) ) ) )).
fof(t19_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( r1_tarski(k10_compos_1(k1_scmpds_2,C),A) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k1_scmpds_4(C,D)),B,E) ) ) ) ) ) ) ) )).
fof(t19_scmpds_6,axiom,( ! [A] : ( v1_int_1(A) => ( r2_tarski(k5_numbers,k9_xtuple_0(k1_scmpds_6(A))) & k1_funct_1(k1_scmpds_6(A),k5_numbers) = k3_scmpds_2(A) ) ) )).
fof(t19_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_scmpds_6(C,A,B) & r2_scmpds_6(C,A,B) & r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) ) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k1_scmpds_4(C,D)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) ) ) ) ) ) ) )).
fof(t19_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( k1_funct_1(k2_scmpds_8(A,B,C),k5_numbers) = k8_scmpds_2(A,B,k1_nat_1(k4_card_1(C),2)) & k1_funct_1(k2_scmpds_8(A,B,C),k1_nat_1(k4_card_1(C),1)) = k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C),1))) ) ) ) ) )).
fof(t19_scmring1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k4_card_3(k3_relat_1(k3_ami_2,k1_scmring1(A)))) => k9_xtuple_0(B) = k1_ami_2 ) ) )).
fof(t19_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ( B = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) => v2_extpro_1(B,k5_card_1(2),k1_scmring2(A)) ) ) ) )).
fof(t19_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ~ ( k5_compos_0(u1_compos_1(k1_scmring2(A)),B) = 7 & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmring2(A))) ) => ! [D] : ( v7_ordinal1(D) => B != k9_scmring2(A,D,C) ) ) ) ) ) )).
fof(t19_scmyciel,axiom,( ! [A] : ! [B] : ( k1_card_1(k3_tarski(A)) = 1 => v2_scmyciel(A) ) )).
fof(t19_scpinvar,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( ( k1_funct_1(B,k1_scmp_gcd(1)) = C & k1_funct_1(B,k1_scmp_gcd(2)) = D ) => ( r1_xxreal_0(C,k5_numbers) | r1_xxreal_0(D,k5_numbers) | ( k1_funct_1(k6_scmpds_4(k4_scpinvar,B,A),k1_scmp_gcd(1)) = k3_int_2(C,D) & k1_funct_1(k6_scmpds_4(k4_scpinvar,B,A),k1_scmp_gcd(2)) = k3_int_2(C,D) & r1_scmpds_6(k4_scpinvar,B,A) & r2_scmpds_6(k4_scpinvar,B,A) ) ) ) ) ) ) ) )).
fof(t19_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) & r2_analoaf(A,B,D,E,H) & r2_analoaf(A,C,D,F,G) & r2_analoaf(A,C,D,F,H) ) => ( r2_analoaf(A,B,C,B,D) | G = H ) ) ) ) ) ) ) ) ) ) )).
fof(t19_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,k26_valued_1(k4_ordinal1,k1_numbers,C,A))) ) ) ) )).
fof(t19_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(C,D)) & r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) & k1_seq_2(A) = k1_seq_2(B) ) => v2_comseq_2(C) ) ) ) ) )).
fof(t19_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(A) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k8_nat_1(k1_numbers,B,D) != k8_nat_1(k1_numbers,A,D) ) ) | k1_seq_2(A) = k1_seq_2(B) ) ) ) ) )).
fof(t19_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( r2_seqfunc(A,B,C) <=> ( r1_seqfunc(A,k1_numbers,B,C) & ? [D] : ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & C = k1_relset_1(A,D) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,C) => ( v2_comseq_2(k10_seqfunc(A,B,E)) & k1_seq_2(k10_seqfunc(A,B,E)) = k1_funct_1(D,E) ) ) ) ) ) ) ) ) )).
fof(t19_seqm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_valued_0(k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A) = k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_valued_0(k1_numbers,B,A),k1_valued_0(k1_numbers,C,A)) ) ) ) )).
fof(t19_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,B,C)) ) & v1_series_1(A) ) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(k8_nat_1(k1_numbers,B,D),k8_nat_1(k1_numbers,A,D)) ) ) | v1_series_1(B) ) ) ) ) )).
fof(t19_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(B,5) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2,k1_newton(B,2)),k3_xcmplx_0(2,B)),1)),12) ) ) ) )).
fof(t19_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(A,B) = 1 => r1_xxreal_0(k7_xcmplx_0(1,2),k2_xcmplx_0(k1_square_1(A),k1_square_1(B))) ) ) ) )).
fof(t19_series_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k3_xcmplx_0(C,k1_newton(A,C)) ) => ( A = 1 | ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k6_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k6_xcmplx_0(1,k1_newton(A,C))),k1_newton(k6_xcmplx_0(1,A),2)),k7_xcmplx_0(k3_xcmplx_0(C,k1_newton(A,k1_nat_1(C,1))),k6_xcmplx_0(1,A))) ) ) ) ) ) )).
fof(t19_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,A),B),C),D),k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,B),k3_xcmplx_0(C,D)),k2_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,D)))) ) ) ) ) )).
fof(t19_setfam_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_setfam_1(C,k2_tarski(A,B)) => ! [D] : ~ ( r2_tarski(D,C) & ~ r1_tarski(D,A) & ~ r1_tarski(D,B) ) ) )).
fof(t19_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(A,k1_funct_1(k2_setlim_1(B,C),D)) <=> ! [E] : ( v7_ordinal1(E) => r2_hidden(A,k1_funct_1(C,k2_xcmplx_0(D,E))) ) ) ) ) )).
fof(t19_setlim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => k7_nat_1(k9_setfam_1(B),k8_setlim_2(B,D,C),A) = k8_setlim_2(B,k7_nat_1(k9_setfam_1(B),D,A),C) ) ) ) )).
fof(t19_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v3_binop_1(C,B) & v1_binop_1(C,B) & v2_binop_1(C,B) ) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => k7_setwiseo(A,B,C,k4_setwiseo(A,E,F,G),D) = k4_binop_1(B,C,k4_binop_1(B,C,k3_funct_2(A,B,D,E),k3_funct_2(A,B,D,F)),k3_funct_2(A,B,D,G)) ) ) ) ) ) ) ) ) )).
fof(t19_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(D,B) & v2_binop_1(D,B) & v1_setwiseo(D,B) & v1_finseqop(D,B) ) => k3_funct_2(B,B,k5_finseqop(B,D),k7_setwiseo(A,B,D,C,E)) = k7_setwiseo(A,B,D,C,k1_partfun1(A,B,B,B,E,k5_finseqop(B,D))) ) ) ) ) ) ) )).
fof(t19_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r2_tarski(A,k2_relset_1(u1_compos_1(k1_scmfsa_2),B)) => r1_tarski(k1_sf_mastr(A),k3_sf_mastr(B)) ) ) ) )).
fof(t19_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) & v3_compos_1(F,k1_scmfsa_2) & v4_compos_1(F,k1_scmfsa_2) & v5_amistd_1(F,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(F) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 & r1_sfmastr3(E,B,C,D,F,A) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),1)) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(E,B,C,D,F,A),G),k4_scmfsa_2(k5_numbers)) = 1 & ( ~ r4_scmfsa7b(F,B) => ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(E,B,C,D,F,A),G),B) = k2_xcmplx_0(G,k1_funct_1(A,C)) & r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(E,B,C,D,F,A),G),B),k2_xcmplx_0(k1_funct_1(A,D),1)) ) ) & k2_xcmplx_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(E,B,C,D,F,A),G),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F)))),G) = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),1) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ! [C] : ~ ( r2_tarski(C,u1_sgraph1(B)) & ! [D] : ! [E] : ~ ( r2_hidden(D,u1_struct_0(B)) & r2_hidden(E,u1_struct_0(B)) & D != E & C = k2_tarski(D,E) ) ) ) )).
fof(t19_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => k5_lattices(A) = k2_sheffer1(A) ) )).
fof(t19_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)) = k5_sheffer1(A,B,C) ) ) ) )).
fof(t19_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ~ ( v1_finset_1(u1_pre_topc(A)) & ~ v2_simplex0(A) & v3_matroid0(A) ) ) )).
fof(t19_simplex1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ( r1_tarski(k3_simplex1(B,C),k2_struct_0(C)) => k3_simplex1(B,k5_simplex1(A,B,C)) = k3_simplex1(B,C) ) ) ) ) )).
fof(t19_simplex2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(B))),u1_struct_0(k15_euclid(k2_xcmplx_0(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(B))),u1_struct_0(k15_euclid(k2_xcmplx_0(A,B)))))) & v3_tops_2(C,k2_borsuk_1(k15_euclid(A),k15_euclid(B)),k15_euclid(k2_xcmplx_0(A,B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) => k1_binop_1(C,D,E) = k7_finseq_1(D,E) ) ) ) ) ) )).
fof(t19_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k9_complex1(k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),C)) = k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),C) & ( r1_xxreal_0(C,B) => k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),B),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),C))) = k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),B),k8_nat_1(k1_numbers,k3_series_1(k4_sin_cos(k9_complex1(A))),C)) ) ) ) ) ) )).
fof(t19_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k3_sin_cos2,k4_xcmplx_0(A)) = k1_funct_1(k3_sin_cos2,A) & k1_funct_1(k1_sin_cos2,k4_xcmplx_0(A)) = k4_xcmplx_0(k1_funct_1(k1_sin_cos2,A)) & k1_funct_1(k5_sin_cos2,k4_xcmplx_0(A)) = k4_xcmplx_0(k1_funct_1(k5_sin_cos2,A)) ) ) )).
fof(t19_sin_cos3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k15_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(B,k7_complex1))) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,A),k1_funct_1(k18_sin_cos,B)),k3_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,A),k1_funct_1(k16_sin_cos,B)),k7_complex1)) ) ) )).
fof(t19_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k19_sin_cos(A) != k5_numbers & k19_sin_cos(B) != k5_numbers & k2_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)) != k7_xcmplx_0(k17_sin_cos(k2_xcmplx_0(A,B)),k3_xcmplx_0(k19_sin_cos(A),k19_sin_cos(B))) ) ) ) )).
fof(t19_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ( k17_sin_cos(A) != k5_numbers => k2_sin_cos4(k3_xcmplx_0(3,A)) = k7_xcmplx_0(k6_xcmplx_0(k1_newton(k2_sin_cos4(A),3),k3_xcmplx_0(3,k2_sin_cos4(A))),k6_xcmplx_0(k3_xcmplx_0(3,k1_square_1(k2_sin_cos4(A))),1)) ) ) )).
fof(t19_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) ) => r1_xxreal_0(k19_sin_cos(A),k5_numbers) ) ) ) )).
fof(t19_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(k1_square_1(k6_xcmplx_0(1,k1_square_1(A))),k5_numbers) ) ) )).
fof(t19_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k7_xcmplx_0(k2_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k6_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B))) = k7_xcmplx_0(k2_sin_cos2(k2_xcmplx_0(A,B)),k2_sin_cos2(k6_xcmplx_0(A,B))) ) ) )).
fof(t19_sin_cos9,axiom,( ! [A] : ( r2_tarski(A,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4))) => r2_tarski(k1_funct_1(k26_sin_cos,A),k1_rcomp_1(k4_xcmplx_0(1),1)) ) )).
fof(t19_sincos10,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(t19_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( v1_topreal1(B) & ~ v2_sppol_1(k2_topreal1(2,B,A)) & ~ v1_sppol_1(k2_topreal1(2,B,A)) ) ) ) )).
fof(t19_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ v1_xboole_0(A) => k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),A,k12_finseq_1(u1_struct_0(k15_euclid(2)),B))) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),B)) ) ) ) )).
fof(t19_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( k11_pscomp_1(A) = k10_pscomp_1(A) => v1_sppol_1(A) ) ) )).
fof(t19_sprect_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,C)) & r1_xxreal_0(k17_euclid(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(B),k17_euclid(C)) & A != B & B != C & ~ ( k17_euclid(A) = k17_euclid(B) & k17_euclid(C) = k17_euclid(B) ) ) ) ) ) )).
fof(t19_sprect_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(B,A) | ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(B,k3_finseq_1(C)) => k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),C,A,B)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k2_topreal1(2,C,A),k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B))) ) ) ) ) ) ) )).
fof(t19_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t19_square_1,axiom,( ~ r1_xxreal_0(k3_square_1(2),1) )).
fof(t19_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ( v1_srings_1(k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B))),C) & v2_srings_1(k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B))),C) & m1_subset_1(k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B))),k1_zfmisc_1(k1_zfmisc_1(C))) & v1_setfam_1(k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B)))) ) ) ) )).
fof(t19_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( r1_stacks_1(A,B) => k6_eqrel_1(u4_struct_0(A),u4_struct_0(A),k10_stacks_1(A),B) = u1_stacks_1(A) ) ) ) )).
fof(t19_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ( ( v2_funct_2(C,k5_card_1(A)) & v1_stirl2_1(C,B,A) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(A,D) => r1_xxreal_0(k3_nat_1(k1_stirl2_1(B,k5_card_1(A),C,k1_seq_4(D))),k2_xcmplx_0(k6_xcmplx_0(B,A),D)) ) ) ) ) ) ) )).
fof(t19_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_valuat_1(C,A,B) => ! [D] : ( m2_subset_1(D,k16_substut1(A),k38_substut1(A)) => ( ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,D),C,E) <=> r1_sublemma(A,D,B,k1_sublemma(A,B,E,k3_sublemma(A,D,B,E)),C) ) ) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,k5_sublemma(A,D)),C,E) <=> r1_sublemma(A,k5_sublemma(A,D),B,k1_sublemma(A,B,E,k3_sublemma(A,k5_sublemma(A,D),B,E)),C) ) ) ) ) ) ) ) )).
fof(t19_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( r1_tarski(k3_subset_1(A,B),B) <=> B = k2_subset_1(A) ) ) )).
fof(t19_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => k3_substlat(A,B,k4_substlat(A,B,k3_substlat(A,B,C),D)) = k3_substlat(A,B,k4_substlat(A,B,C,D)) ) ) )).
fof(t19_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ! [C] : ( m1_subset_1(C,k16_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => k29_substut1(A,k21_substut1(A,B,C)) = C ) ) ) ) )).
fof(t19_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k2_substut2(A,k7_cqc_lang(A,B,C),D) = k6_sublemma(A,k2_substut2(A,B,D),k2_substut2(A,C,D)) ) ) ) ) )).
fof(t19_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k9_supinf_2(A,k6_supinf_2(B),k14_supinf_2(A,B,C)) = k6_supinf_2(k9_supinf_2(A,B,C)) ) ) ) )).
fof(t19_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_orders_2(B,F,C) => ( r1_orders_2(B,D,C) | ( k1_symsp_1(A,B,C,k3_rlvect_1(B,D,F),E) = k1_symsp_1(A,B,C,D,E) & k1_symsp_1(A,B,C,D,k3_rlvect_1(B,E,F)) = k1_symsp_1(A,B,C,D,E) ) ) ) ) ) ) ) ) ) )).
fof(t19_sysrel,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r1_tarski(k4_relat_1(A),B) => r1_tarski(k4_relat_1(A),k2_relat_1(B)) ) ) )).
fof(t19_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(C,D) => r1_relset_1(A,A,k1_taxonom1(A,B,C),k1_taxonom1(A,B,D)) ) ) ) ) ) )).
fof(t19_taxonom2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ( r1_tarski(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ( ! [D] : ~ ( r2_tarski(D,C) & ~ r1_tarski(D,B) & ~ r1_tarski(B,D) & ~ r1_xboole_0(B,D) ) => ( ! [D] : ~ ( r2_tarski(D,C) & r1_tarski(D,B) ) | ! [D] : ( ! [E] : ( r2_tarski(E,D) <=> ( r2_tarski(E,C) & r1_xboole_0(E,B) ) ) => ( m1_eqrel_1(k2_xboole_0(D,k1_tarski(B)),A) & r1_setfam_1(C,k2_xboole_0(D,k1_tarski(B))) & ! [E] : ( m1_eqrel_1(E,A) => ( r1_setfam_1(C,E) => ! [F] : ( ( r2_tarski(F,E) & r1_tarski(B,F) ) => r1_setfam_1(k2_xboole_0(D,k1_tarski(B)),E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_fdiff_1(B,A) => ( r1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),A) & k1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),A) = k3_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(B,A)),k1_fdiff_1(B,A)) ) ) ) ) )).
fof(t19_taylor_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v7_ordinal1(B) => ( k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k3_xcmplx_0(2,B)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,B),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k3_xcmplx_0(2,B)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,A),k1_newton(k4_xcmplx_0(1),B)) & k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,A),k1_nat_1(k3_xcmplx_0(2,B),1)) = k26_valued_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,A),k1_newton(k4_xcmplx_0(1),k1_nat_1(B,1))) ) ) ) )).
fof(t19_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v1_tbsp_1(A) => v5_tbsp_1(A) ) ) )).
fof(t19_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v5_tops_1(k2_struct_0(A),A) ) )).
fof(t19_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k1_xboole_0 <=> k1_tdlat_2(A,B) = k1_xboole_0 ) ) ) )).
fof(t19_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v2_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v4_pre_topc(B,A) & B != k1_xboole_0 & B != u1_struct_0(A) ) ) ) ) )).
fof(t19_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) & v4_valued_0(E) & v2_pre_poly(E) ) => ( E != k3_termord(A,B,C,D) => k4_polynom1(A,C,k5_termord(A,B,C,D),E) = k4_struct_0(C) ) ) ) ) ) ) )).
fof(t19_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( k2_tex_1(A) = k1_compts_1(A) <=> ? [B] : ( m1_subset_1(B,A) & A = k6_domain_1(A,B) ) ) ) )).
fof(t19_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & C = D & v2_tex_2(C,A) ) => v2_tex_2(D,B) ) ) ) ) ) )).
fof(t19_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_pre_topc(C,A) => ( m1_pre_topc(B,C) => v2_tex_3(C,A) ) ) ) ) )).
fof(t19_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_tex_4(B,A) & r2_tarski(C,B) ) => r1_tarski(B,k2_tex_4(A,C)) ) ) ) ) )).
fof(t19_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_tmap_1(A,k3_topmetr,B,C) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(E,A) & r2_tarski(C,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,E) & r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,F),k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_borsuk_1(k2_brouwer(A,C,E),k2_brouwer(B,D,F))),u1_struct_0(k2_brouwer(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k2_brouwer(A,C,E),k2_brouwer(B,D,F))),u1_struct_0(k2_brouwer(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1))))) ) => ~ ( v3_tops_2(G,k2_borsuk_1(k2_brouwer(A,C,E),k2_brouwer(B,D,F)),k2_brouwer(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1)) & k7_relset_1(u1_struct_0(k2_borsuk_1(k2_brouwer(A,C,E),k2_brouwer(B,D,F))),u1_struct_0(k2_brouwer(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1)),G,k3_borsuk_1(k15_euclid(A),k15_euclid(B),k1_topreal9(A,C,E),k1_topreal9(B,D,F))) = k1_topreal9(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1) ) ) ) ) ) ) ) ) ) )).
fof(t19_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( m1_pre_topc(B,C) => ( ( ~ r1_tsep_1(C,D) & ~ r1_tsep_1(D,C) ) | ( r1_tsep_1(B,D) & r1_tsep_1(D,B) ) ) ) ) ) ) ) )).
fof(t19_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_toler_1(C,A,B) => ? [D] : ( v1_toler_1(D,A,B) & m1_toler_1(D,A,B) & r1_tarski(C,D) ) ) ) )).
fof(t19_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_borsuk_6(A,B,C) & r1_borsuk_6(A,C,D) ) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ! [G] : ( m1_borsuk_2(G,A,C,D) => ( r3_borsuk_2(A,B,C,E,F) => r3_borsuk_2(A,B,C,E,k1_borsuk_2(A,B,D,C,k1_borsuk_2(A,B,C,D,F,G),k2_borsuk_2(A,C,D,G))) ) ) ) ) ) ) ) ) ) )).
fof(t19_topalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_topalg_2(A) & m1_pre_topc(A,k2_topalg_2) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => m1_borsuk_6(k3_topalg_2(A,D,E),A,B,C,D,E) ) ) ) ) ) )).
fof(t19_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_pre_topc(E) & l1_pre_topc(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(E,C)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(E,C)),u1_struct_0(A)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_borsuk_1(E,D)),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(E,D)),u1_struct_0(A)))) ) => ! [H] : ( ( v4_pre_topc(H,B) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) ) => ! [I] : ( ( v4_pre_topc(I,B) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( m1_pre_topc(C,B) & m1_pre_topc(D,B) & H = k2_struct_0(C) & I = k2_struct_0(D) & k2_xboole_0(k2_struct_0(C),k2_struct_0(D)) = k2_struct_0(B) & v5_pre_topc(F,k2_borsuk_1(E,C),A) & v5_pre_topc(G,k2_borsuk_1(E,D),A) & ! [J] : ( r2_tarski(J,k9_subset_1(u1_struct_0(k2_borsuk_1(E,D)),k2_struct_0(k2_borsuk_1(E,C)),k2_struct_0(k2_borsuk_1(E,D)))) => k1_funct_1(F,J) = k1_funct_1(G,J) ) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_borsuk_1(E,B)),u1_struct_0(A)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(E,B)),u1_struct_0(A)))) ) => ~ ( J = k1_funct_4(F,G) & v5_pre_topc(J,k2_borsuk_1(E,B),A) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_2(I,A,C,D) => ! [J] : ( m1_borsuk_2(J,A,C,D) => ( ( r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),I,k3_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),J,k3_topalg_4(A,B,k5_topmetr,H)) & r3_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) ) => r3_borsuk_2(A,C,D,I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_6(F,A,B,C,D,E) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_topmetr)) => ( v5_pre_topc(F,k2_borsuk_1(k5_topmetr,k5_topmetr),A) => v5_pre_topc(k4_topalg_5(k5_topmetr,k5_topmetr,A,F,G),k5_topmetr,A) ) ) ) ) ) ) ) ) )).
fof(t19_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_funct_1(k1_xboole_0) & v4_topalg_6(k1_xboole_0,A) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(A)))) ) ) )).
fof(t19_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_topdim_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,C) => ( v1_topdim_1(B,A) & r1_xxreal_0(k2_topdim_1(A,B),k2_topdim_1(A,C)) ) ) ) ) ) )).
fof(t19_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_card_3(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v12_pre_topc(k1_pre_topc(A,B)) => ( v1_topdim_1(B,A) & r1_xxreal_0(k2_topdim_1(A,B),k5_numbers) ) ) ) ) )).
fof(t19_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_topgen_1(A,B)) <=> ? [D] : ( v1_yellow_8(D,A,C) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_tarski(F,k9_subset_1(u1_struct_0(A),B,E)) & C != F ) ) ) ) ) ) ) ) ) )).
fof(t19_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topgen_2(A,B)))) => ( v3_pre_topc(C,k5_topgen_2(A,B)) <=> ~ ( r2_tarski(B,C) & ~ v1_finset_1(k3_subset_1(u1_struct_0(k5_topgen_2(A,B)),C)) ) ) ) )).
fof(t19_topgen_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => v4_card_3(a_1_0_topgen_3(A)) ) )).
fof(t19_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),B) => ( v3_pre_topc(B,A) <=> v1_tops_2(C,A) ) ) ) ) ) )).
fof(t19_topgen_5,axiom,( r1_tarski(k1_topgen_5,k2_topgen_5) )).
fof(t19_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k2_tops_2(u1_struct_0(A),u1_struct_0(A),k2_topgrp_1(A,B)),k2_topgrp_1(A,k2_group_1(A,B))) ) ) )).
fof(t19_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( C = k1_rcomp_1(A,B) => k4_topmetr(A,B) = k1_pre_topc(k3_topmetr,C) ) ) ) ) ) )).
fof(t19_topreal1,axiom,( r1_subset_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,k5_numbers)),k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,1),k19_euclid(1,1))) )).
fof(t19_topreal3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k2_topreal1(A,B,C),k3_topreal1(A,B)) ) ) ) )).
fof(t19_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) => ( ( r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k8_metric_1(k14_euclid(2),E,D)) & r2_tarski(A,k8_metric_1(k14_euclid(2),E,D)) & v4_topreal1(B) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),A),k3_topreal1(2,B)) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) & C = k8_finseq_1(u1_struct_0(k15_euclid(2)),B,k12_finseq_1(u1_struct_0(k15_euclid(2)),A)) ) => ( ( ~ ( k17_euclid(A) = k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) & k18_euclid(A) != k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) ) & ~ ( k17_euclid(A) != k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) & k18_euclid(A) = k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) ) ) | ( v4_topreal1(C) & r1_topreal4(k3_topreal1(2,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,C),k2_xboole_0(k3_topreal1(2,B),k8_metric_1(k14_euclid(2),E,D))) ) ) ) ) ) ) ) ) )).
fof(t19_topreal5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( v1_topreal2(A) & k18_pscomp_1(A) = k22_pscomp_1(A) ) ) )).
fof(t19_topreal6,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r1_t_0topsp(A,B) & v1_connsp_1(A) ) => v1_connsp_1(B) ) ) ) )).
fof(t19_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_topreal7(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_topreal7(A,B))) => k1_metric_1(k1_topreal7(A,B),C,D) = k4_xxreal_0(k1_metric_1(A,k3_topreal7(A,B,C),k3_topreal7(A,B,D)),k1_metric_1(B,k4_topreal7(A,B,C),k4_topreal7(A,B,D))) ) ) ) ) )).
fof(t19_topreal8,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k2_topreal1(2,A,1) = k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),2,A)) ) )).
fof(t19_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => r1_xboole_0(k1_topreal9(A,C,B),k3_topreal9(A,C,B)) ) ) ) )).
fof(t19_topreala,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_topmetr)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( ( C = B & m1_rcomp_1(B,A) ) => m1_connsp_2(C,k3_topmetr,A) ) ) ) ) )).
fof(t19_toprealb,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,C,B))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,C,B))))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(k8_toprealb(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( E = F => k3_funct_2(u1_struct_0(k8_toprealb(A)),u1_struct_0(k7_toprealb(A,C,B)),D,E) = k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),F,B),C) ) ) ) => v3_tops_2(D,k8_toprealb(A),k7_toprealb(A,C,B)) ) ) ) ) ) )).
fof(t19_toprealc,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => m2_finseq_1(A,k1_numbers) ) )).
fof(t19_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k4_toprns_1(A,B,k4_toprns_1(A,C,D)) = k1_toprns_1(A,k4_toprns_1(A,B,C),D) ) ) ) ) )).
fof(t19_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k1_tops_1(A,B),k1_tops_1(A,C)) ) ) ) ) )).
fof(t19_tops_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) => v3_pre_topc(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t19_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(B,C) & v4_pre_topc(C,A) ) => C = u1_struct_0(A) ) ) ) ) ) )).
fof(t19_tops_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(A)),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(B)))) ) => ( v5_pre_topc(C,k15_euclid(A),B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( ( v3_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(B),C,D),E) & ! [F] : ( ( v1_xreal_0(F) & v2_xxreal_0(F) ) => ~ r1_tarski(k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(B),C,k1_topreal9(A,D,F)),E) ) ) ) ) ) ) ) ) )).
fof(t19_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( ( r3_relat_2(C,k2_zfmisc_1(A,A)) & r8_relat_2(C,k2_zfmisc_1(A,A)) & r1_transgeo(A,B,C) ) => r2_transgeo(A,B,C) ) ) ) ) )).
fof(t19_treal_1,axiom,( v1_connsp_1(k17_borsuk_1) )).
fof(t19_trees_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( r2_tarski(A,B) => m2_finseq_1(A,k4_ordinal1) ) ) )).
fof(t19_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => m1_trees_2(k1_xboole_0,A) ) )).
fof(t19_trees_3,axiom,( ! [A] : ! [B] : ( ( v2_trees_3(A) & r1_tarski(B,A) ) => v2_trees_3(B) ) )).
fof(t19_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v6_trees_3(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( r2_tarski(k7_finseq_1(k14_trees_3(C),D),k9_xtuple_0(k4_trees_4(A,B))) => k1_funct_1(k4_trees_4(A,B),k7_finseq_1(k14_trees_3(C),D)) = k4_funct_6(B,k1_nat_1(C,1),D) ) ) ) ) )).
fof(t19_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v3_trees_3(B) ) => ( r2_tarski(A,k9_trees_9(B)) <=> ? [C] : ( m1_subset_1(C,B) & ? [D] : ( m1_trees_1(D,k9_xtuple_0(C)) & A = k5_trees_2(C,D) ) ) ) ) )).
fof(t19_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tsep_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => ( v1_tsep_1(B,C) & m1_pre_topc(B,C) ) ) ) ) ) )).
fof(t19_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tsep_2(A,B,D) & r2_tsep_2(A,C,E) & k4_subset_1(u1_struct_0(A),D,E) = u1_struct_0(A) & r2_tsep_1(A,D,E) ) => r1_connsp_1(A,B,C) ) ) ) ) ) ) )).
fof(t19_tsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & ~ v6_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( ~ v1_tsp_1(B,A) & ! [C] : ( ( v1_pre_topc(C) & ~ v6_pre_topc(C) & m1_pre_topc(C,A) ) => B != u1_struct_0(C) ) ) ) ) )).
fof(t19_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)) ) => ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) )).
fof(t19_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_turing_1(k3_finseq_4(k4_ordinal1,C,D,E),A,B) => ( k1_funct_1(B,C) = k5_numbers & k1_funct_1(B,k1_nat_1(k1_nat_1(C,D),2)) = k5_numbers & k1_funct_1(B,k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4)) = k5_numbers & ! [F] : ( v1_int_1(F) => ~ ( ~ r1_xxreal_0(F,C) & ~ r1_xxreal_0(k1_nat_1(k1_nat_1(C,D),2),F) & k1_funct_1(B,F) != 1 ) ) & ! [F] : ( v1_int_1(F) => ~ ( ~ r1_xxreal_0(F,k1_nat_1(k1_nat_1(C,D),2)) & ~ r1_xxreal_0(k1_nat_1(k1_nat_1(k1_nat_1(C,D),E),4),F) & k1_funct_1(B,F) != 1 ) ) ) ) ) ) ) ) ) )).
fof(t19_twoscomp,axiom,( k1_funct_1(k11_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k11_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,1)) = k5_numbers & k1_funct_1(k11_twoscomp,k11_finseq_1(k5_numbers,1,k5_numbers)) = k5_numbers & k1_funct_1(k11_twoscomp,k11_finseq_1(k5_numbers,1,1)) = 1 & k1_funct_1(k11_twoscomp,k11_finseq_1(1,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k11_twoscomp,k11_finseq_1(1,k5_numbers,1)) = k5_numbers & k1_funct_1(k11_twoscomp,k11_finseq_1(1,1,k5_numbers)) = k5_numbers & k1_funct_1(k11_twoscomp,k11_finseq_1(1,1,1)) = k5_numbers )).
fof(t19_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_unialg_1(B) & m1_unialg_2(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = u1_struct_0(B) => k7_unialg_2(A,C) = B ) ) ) ) )).
fof(t19_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => k5_lattices(k12_unialg_2(A)) = k7_unialg_2(A,k6_unialg_2(A)) ) )).
fof(t19_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( r2_tarski(B,u1_struct_0(k1_uniroots(A))) => r2_tarski(B,u1_struct_0(A)) ) ) )).
fof(t19_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,B) = 1 => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k2_algseq_1(A,k8_nat_1(u1_struct_0(A),B,k5_numbers))) & k8_nat_1(u1_struct_0(A),B,k5_numbers) != k4_struct_0(A) ) ) ) ) )).
fof(t19_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v7_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v4_pre_topc(k6_domain_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t19_urysohn2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k6_numbers) => ( ( B = C & r1_xxreal_0(k5_numbers,C) ) => k7_supinf_2(k1_integra2(A,B)) = k1_extreal1(C,k7_supinf_2(A)) ) ) ) ) )).
fof(t19_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( B != k1_xboole_0 & r1_xboole_0(B,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(D,A,k3_topmetr) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_xxreal_0(k5_numbers,k12_supinf_2(D,E)) & r1_xxreal_0(k12_supinf_2(D,E),1) & ( r2_tarski(E,B) => k12_supinf_2(D,E) = k5_numbers ) & ( r2_tarski(E,C) => k12_supinf_2(D,E) = 1 ) ) ) ) ) ) ) ) ) )).
fof(t19_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_valuat_1(F,A,B) => ( r1_valuat_1(A,B,k11_cqc_lang(A,C,E),F,D) <=> k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k3_valuat_1(A,B,C,k8_valuat_1(A,B,F,E)),D) = k7_margrel1 ) ) ) ) ) ) ) )).
fof(t19_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => m2_valued_0(B,A,B) ) ) )).
fof(t19_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k9_xtuple_0(C) = k9_subset_1(k4_ordinal1,k4_finseq_1(A),k4_finseq_1(B)) => ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) ) ) ) ) )).
fof(t19_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k50_valued_1(k18_valued_1(A,B),C) = k18_valued_1(A,k50_valued_1(B,C)) ) ) ) )).
fof(t19_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [F] : ( m1_vectsp_4(F,A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))) => ( ( C = E & D = F ) => ( r1_struct_0(D,C) | ! [G] : ( m1_subset_1(G,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [I] : ( m1_subset_1(I,u1_struct_0(D)) => ! [J] : ( m1_subset_1(J,u1_struct_0(D)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ( ( k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),G,F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(D),u1_struct_0(B),I,k3_vectsp_1(A,B,K,C)) & k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),H,F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(D),u1_struct_0(B),J,k3_vectsp_1(A,B,L,C)) ) => k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k3_rlvect_1(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),G,H),F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(D),u1_struct_0(B),k3_rlvect_1(D,I,J),k3_vectsp_1(A,B,k3_rlvect_1(A,K,L),C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t19_vectsp11,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_vectsp11(A,B,1),B) ) ) )).
fof(t19_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( k1_algstr_0(A,B,k4_algstr_0(A,C)) = k4_struct_0(A) => B = C ) & ( B = C => k1_algstr_0(A,B,k4_algstr_0(A,C)) = k4_struct_0(A) ) & ( k5_algstr_0(A,B,C) = k4_struct_0(A) => B = C ) & ( B = C => k5_algstr_0(A,B,C) = k4_struct_0(A) ) ) ) ) ) )).
fof(t19_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => ( k4_algstr_0(A,k12_algstr_0(A,B,C)) = k12_algstr_0(A,k4_algstr_0(A,B),C) & k12_algstr_0(A,B,k4_algstr_0(A,C)) = k4_algstr_0(A,k12_algstr_0(A,B,C)) ) ) ) ) ) )).
fof(t19_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => r1_struct_0(B,k4_struct_0(C)) ) ) ) )).
fof(t19_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( ( m1_vectsp_4(C,A,D) & m1_vectsp_4(C,A,E) ) => m1_vectsp_4(C,A,k2_vectsp_5(A,B,D,E)) ) ) ) ) ) ) )).
fof(t19_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ( k1_vectsp_6(A,B,C) = k1_xboole_0 => k4_vectsp_6(A,B,C) = k4_struct_0(B) ) ) ) ) )).
fof(t19_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v1_vectsp_7(C,A,B) & ! [D] : ( ( v2_vectsp_7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ~ r1_tarski(C,D) ) ) ) ) ) )).
fof(t19_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,C) & v1_vectsp_7(D,A,B) ) => ( r1_xxreal_0(k4_card_1(D),k4_card_1(C)) & ? [E] : ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(E,C) & k4_card_1(E) = k6_xcmplx_0(k4_card_1(C),k4_card_1(D)) & g1_vectsp_1(A,u1_struct_0(B),u1_algstr_0(B),u2_struct_0(B),u1_vectsp_1(A,B)) = k1_vectsp_7(A,B,k4_subset_1(u1_struct_0(B),D,E)) ) ) ) ) ) ) ) )).
fof(t19_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,k2_vfunct_1(A,B,D,E)),k6_vfunct_1(A,B,k2_vfunct_1(A,B,C,D),E)) ) ) ) ) ) )).
fof(t19_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,k2_vfunct_1(A,B,D,E)),k3_vfunct_2(A,B,k2_vfunct_1(A,B,C,D),E)) ) ) ) ) ) )).
fof(t19_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k10_vsdiff_1(A,B,C,G,D,E),1),F) = k5_algstr_0(D,k10_funct_2(u1_struct_0(C),u1_struct_0(D),E,F),k10_funct_2(u1_struct_0(C),u1_struct_0(D),k4_vsdiff_1(A,B,C,D,E,k4_algstr_0(C,G)),F)) ) ) ) ) ) ) ) )).
fof(t19_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k6_waybel10(A,k1_yellow_2(A,A,B)),B) ) ) )).
fof(t19_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => k2_relset_1(u1_struct_0(A),u1_waybel_0(A,B)) = a_2_1_waybel11(A,B) ) ) )).
fof(t19_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_yellow_4(A,D,C) & v13_waybel_0(B,A) & r1_tarski(D,B) ) => r1_tarski(C,B) ) ) ) ) ) )).
fof(t19_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v23_waybel_0(E,A,B) => ( r2_lattice3(A,C,D) <=> r2_lattice3(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),E,C),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) ) ) ) ) ) ) ) )).
fof(t19_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ( v5_waybel_6(B,k1_yellow_1(u1_pre_topc(A))) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ~ ( r1_tarski(k3_xboole_0(C,D),B) & ~ r1_tarski(C,B) & ~ r1_tarski(D,B) ) ) ) ) ) ) )).
fof(t19_waybel15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k3_waybel_6(k7_lattice3(A))) <=> v6_waybel_6(B,A) ) ) ) )).
fof(t19_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( v1_waybel16(B,A) & k2_yellow_0(A,k7_subset_1(u1_struct_0(A),k6_waybel_0(A,B),k6_domain_1(u1_struct_0(A),B))) = B ) ) ) )).
fof(t19_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => r3_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_waybel11(A,D)),k1_waybel11(B,k6_waybel_9(A,B,C,D))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => k1_yellow_0(B,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D)) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_yellow_0(A,D)) ) ) ) ) ) )).
fof(t19_waybel18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ~ ( v2_waybel18(A) & ! [B] : ( ~ v1_xboole_0(B) => ~ r1_waybel18(A,k3_waybel18(B,k7_funcop_1(B,k9_waybel18))) ) ) ) )).
fof(t19_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m3_yellow_9(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( ( r2_tarski(D,u1_pre_topc(A)) | r2_tarski(D,u1_pre_topc(B)) ) => v3_pre_topc(D,C) ) ) ) ) ) )).
fof(t19_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v17_waybel_0(B,A,A) => v17_waybel_0(k2_waybel_1(A,A,B),A,k1_yellow_2(A,A,B)) ) ) ) )).
fof(t19_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v8_yellow_0(B,A) => v3_lattice3(B) ) ) ) )).
fof(t19_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_waybel23(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r2_yellow_0(A,C) => r2_tarski(k2_yellow_0(A,C),B) ) ) ) ) ) )).
fof(t19_waybel24,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B))) <=> ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) ) ) )).
fof(t19_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r1_borsuk_3(A,B) => r5_waybel_1(k1_waybel25(A),k1_waybel25(B)) ) ) ) )).
fof(t19_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v1_waybel25(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,B) ) => ( r1_borsuk_1(B,C) => r3_yellow16(k1_waybel26(A,C),k1_waybel26(A,B)) ) ) ) ) )).
fof(t19_waybel27,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_yellow_0(D,k5_yellow_1(B,k5_yellow_1(A,C))) & m1_yellow_0(D,k5_yellow_1(B,k5_yellow_1(A,C))) ) => ! [E] : ( ( ~ v2_struct_0(E) & v4_yellow_0(E,k5_yellow_1(A,k5_yellow_1(B,C))) & m1_yellow_0(E,k5_yellow_1(A,k5_yellow_1(B,C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( v3_waybel27(F) => v5_orders_3(F,D,E) ) ) ) ) ) ) ) )).
fof(t19_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_waybel_3(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => v6_yellow_6(k3_waybel28(A),A) ) )).
fof(t19_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_funct_1(k2_tops_2(u1_struct_0(k1_waybel26(A,k9_waybel18)),u1_struct_0(k1_yellow_1(u1_pre_topc(A))),k4_waybel29(A)),B) = k5_funct_3(B,u1_struct_0(A)) ) ) )).
fof(t19_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,A) ) => ! [D] : ( ( v2_pre_topc(D) & v2_waybel19(D) & m1_yellow_9(D,B) ) => ( v3_waybel_3(k1_yellow_1(k5_waybel11(B))) => u1_pre_topc(k2_borsuk_1(C,D)) = k2_waybel19(k3_yellow_3(A,B)) ) ) ) ) ) )).
fof(t19_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ( ~ v8_struct_0(A) => ! [B] : ( ( v6_waybel23(B,A) & m1_waybel23(B,A) ) => r1_ordinal1(k1_card_1(a_2_0_waybel31(A,B)),k1_card_1(B)) ) ) ) )).
fof(t19_waybel32,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => v3_pre_topc(k3_subset_1(u1_struct_0(B),k5_waybel_0(B,C)),B) ) ) ) )).
fof(t19_waybel33,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => r1_tarski(k5_waybel11(A),k4_waybel28(A)) ) )).
fof(t19_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ( k13_functor0(k5_waybel34(A),k4_waybel34(A),k5_waybel34(A),k7_waybel34(A),k6_waybel34(A)) = k12_functor0(k5_waybel34(A)) & k13_functor0(k4_waybel34(A),k5_waybel34(A),k4_waybel34(A),k6_waybel34(A),k7_waybel34(A)) = k12_functor0(k4_waybel34(A)) ) ) )).
fof(t19_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel35(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v3_waybel35(C,A,B) & m1_waybel35(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r2_tarski(E,C) & r2_orders_2(A,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_orders_2(A,D,F) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),F,E),B) & F = k1_yellow_0(A,k4_waybel35(A,B,C,F)) ) ) ) ) ) ) ) ) )).
fof(t19_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k5_waybel_0(A,B) = k5_waybel_0(A,C) => B = C ) ) ) ) )).
fof(t19_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( v5_orders_3(C,A,B) & v5_orders_3(D,B,A) & r1_yellow_2(u1_struct_0(A),A,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D),k3_struct_0(A)) & r1_yellow_2(u1_struct_0(B),B,k3_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C)) ) => v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) )).
fof(t19_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ~ v2_struct_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C)) & v7_waybel_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C)) & l1_waybel_0(g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C),A) ) ) ) ) )).
fof(t19_waybel_3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r3_orders_2(A,C,k1_yellow_0(A,D)) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(E,D) & r3_orders_2(A,B,k1_yellow_0(A,E)) ) ) ) ) => r1_waybel_3(A,B,C) ) ) ) ) )).
fof(t19_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => r2_tarski(k3_yellow_2(A),u1_struct_0(k8_waybel_4(A))) ) )).
fof(t19_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) <=> ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m2_pboole(D,B,C,k7_funcop_1(B,u1_struct_0(A))) => ( ! [E] : ( m1_subset_1(E,B) => v1_waybel_0(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),C,D,E)),A) ) => k5_yellow_2(A,k4_waybel_5(A,D)) = k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),C,D))) ) ) ) ) ) ) )).
fof(t19_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_waybel_6(B,A) & r1_tarski(B,C) ) => v4_waybel_6(C,A) ) ) ) ) )).
fof(t19_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_waybel_7(B,A) <=> r2_tarski(B,k3_waybel_6(k1_yellow_1(k7_waybel_0(A)))) ) ) ) )).
fof(t19_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ( v3_waybel_8(A) <=> ( v3_orders_2(k1_waybel_8(A)) & v4_orders_2(k1_waybel_8(A)) & v5_orders_2(k1_waybel_8(A)) & v1_lattice3(k1_waybel_8(A)) & v2_lattice3(k1_waybel_8(A)) & l1_orders_2(k1_waybel_8(A)) ) ) ) )).
fof(t19_waybel_9,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & C = D & v1_tops_2(C,A) ) => v1_tops_2(D,B) ) ) ) ) ) )).
fof(t19_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => r1_struct_0(k4_weddwitt(A),k1_group_1(A)) ) )).
fof(t19_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( v2_compts_1(B,k3_pcomps_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(C,B) => ( r1_xxreal_0(k3_metric_1(A,C,D),k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,D),B))) & r1_xxreal_0(k3_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,D),B)),k3_metric_1(A,C,D)) ) ) ) ) ) ) ) )).
fof(t19_wellord1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k2_wellord1(k2_wellord1(C,A),B) = k2_wellord1(C,k3_xboole_0(A,B)) ) )).
fof(t19_wellord2,axiom,( ! [A] : r1_relat_2(k1_wellord2(A),A) )).
fof(t19_wsierp_1,axiom,( ! [A] : ! [B] : ! [C] : ( k2_finseq_3(1,k9_finseq_1(A)) = k1_xboole_0 & k2_finseq_3(1,k10_finseq_1(A,B)) = k9_finseq_1(B) & k2_finseq_3(2,k10_finseq_1(A,B)) = k9_finseq_1(A) & k2_finseq_3(1,k11_finseq_1(A,B,C)) = k10_finseq_1(B,C) & k2_finseq_3(2,k11_finseq_1(A,B,C)) = k10_finseq_1(A,C) & k2_finseq_3(3,k11_finseq_1(A,B,C)) = k10_finseq_1(A,B) ) )).
fof(t19_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(C,A) & r1_tarski(C,B) ) => r1_tarski(C,k3_xboole_0(A,B)) ) )).
fof(t19_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k7_xboolean(k7_xboolean(A,B),C) = k7_xboolean(A,k7_xboolean(B,C)) ) ) ) )).
fof(t19_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( k6_xcmplx_0(A,C) = k6_xcmplx_0(B,C) => A = B ) ) ) ) )).
fof(t19_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k2_xcmplx_0(A,B),C) <=> r1_xxreal_0(A,k6_xcmplx_0(C,B)) ) ) ) ) )).
fof(t19_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_hidden(k6_xtuple_0(A,B,C,D),E) => r2_hidden(A,k13_xtuple_0(E)) ) )).
fof(t19_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(k3_xxreal_0(B,D),k3_xxreal_0(A,C)) ) ) ) ) ) )).
fof(t19_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k3_xxreal_1(A,A) = k1_xboole_0 ) )).
fof(t19_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m2_xxreal_2(A,k2_xxreal_1(A,B)) ) ) )).
fof(t19_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( k3_xxreal_3(A,B) = k2_xxreal_0 & A != k2_xxreal_0 & B != k1_xxreal_0 ) ) ) )).
fof(t19_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r1_waybel_3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F)) <=> ( r1_waybel_3(A,C,D) & r1_waybel_3(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t19_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & C = D & v3_waybel11(C,A) ) => v3_waybel11(D,B) ) ) ) ) ) )).
fof(t19_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_yellow13(C,A,B) => ~ v1_xboole_0(C) ) ) ) )).
fof(t19_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => r1_t_0topsp(A,g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) ) )).
fof(t19_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ! [D] : ( ( r2_tarski(C,k2_yellow15(A,B)) & r2_tarski(D,k2_yellow15(A,B)) ) => ( C = D | r1_xboole_0(C,D) ) ) ) )).
fof(t19_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ~ ( r2_yellow16(B,A,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & v22_waybel_0(D,A,A) & v6_waybel_1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( r1_yellow16(k1_yellow_2(A,A,D),A,D) & r5_waybel_1(B,k1_yellow_2(A,A,D)) ) ) ) ) ) ) )).
fof(t19_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k4_waybel18(A,B,C))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_waybel18(A,B))) => ( ( r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(D)),k3_tarski(E)) & ! [F] : ~ ( r2_tarski(F,k2_waybel18(A,B)) & r2_tarski(F,E) & r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(D)),F) ) ) => r1_tarski(k2_struct_0(k3_waybel18(A,B)),k3_tarski(E)) ) ) ) ) ) ) )).
fof(t19_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v11_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v11_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ( ( r2_yellow18(A,B) & r2_yellow18(C,D) & r2_functor0(A,C) ) => r2_functor0(B,D) ) ) ) ) ) )).
fof(t19_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( r1_waybel_0(A,C,B) => ! [D] : ( m2_yellow_6(D,A,C) => r1_waybel_0(A,D,B) ) ) ) ) )).
fof(t19_yellow20,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( r1_yellow20(A,B) => k2_yellow20(A,B) = k2_yellow20(B,A) ) ) ) )).
fof(t19_yellow21,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_yellow21(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_yellow21(A))) => ! [D] : ( r2_tarski(D,k1_altcat_1(k8_yellow21(A),B,C)) <=> ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k4_yellow21(k8_yellow21(A),B)),u1_struct_0(k4_yellow21(k8_yellow21(A),C))) & v22_waybel_0(D,k4_yellow21(k8_yellow21(A),B),k4_yellow21(k8_yellow21(A),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k8_yellow21(A),B)),u1_struct_0(k4_yellow21(k8_yellow21(A),C))))) ) ) ) ) ) )).
fof(t19_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( ( D = k11_lattice3(A,B,C) & r2_yellow_0(A,k2_tarski(B,C)) ) => ( r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,E,B) & r1_orders_2(A,E,C) ) => r1_orders_2(A,E,D) ) ) ) ) & ( ( r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,E,B) & r1_orders_2(A,E,C) ) => r1_orders_2(A,E,D) ) ) ) => ( D = k11_lattice3(A,B,C) & r2_yellow_0(A,k2_tarski(B,C)) ) ) ) ) ) ) ) )).
fof(t19_yellow_1,axiom,( ! [A] : k4_yellow_0(k2_yellow_1(A)) = A )).
fof(t19_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v11_quantal1(B) => k2_relset_1(u1_struct_0(A),B) = a_2_0_yellow_2(A,B) ) ) ) )).
fof(t19_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ( v2_lattice3(k3_yellow_3(A,B)) => ( v2_lattice3(A) & v2_lattice3(B) ) ) ) ) )).
fof(t19_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_yellow_4(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k10_lattice3(A,B,C)) ) ) ) )).
fof(t19_yellow_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_orders_2(A,B,k3_yellow_0(A)) => B = k3_yellow_0(A) ) ) ) )).
fof(t19_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( r1_waybel_0(A,B,C) => r2_waybel_0(A,B,C) ) ) ) )).
fof(t19_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_lattice3(A)))) => ( B = C => ( k3_waybel_0(A,B) = k4_waybel_0(k7_lattice3(A),C) & k4_waybel_0(A,B) = k3_waybel_0(k7_lattice3(A),C) ) ) ) ) ) )).
fof(t19_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_yellow_8(A,k6_domain_1(u1_struct_0(A),B),B) ) ) )).
fof(t19_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => ( ( r1_tarski(C,D) => r1_tarski(k1_cantor_1(A,C),k1_cantor_1(B,D)) ) & ( C = D => k1_cantor_1(A,C) = k1_cantor_1(B,D) ) ) ) ) )).
fof(t19_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ~ v1_xboole_0(C) => ( ( v8_zf_fund1(B,A) & r2_tarski(C,B) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r2_tarski(k5_zf_fund1(D,C),B) => r2_tarski(k5_zf_fund1(k5_zf_lang(D),C),B) ) ) ) ) ) ) )).
fof(t19_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v3_zf_lang(A) => k1_funct_1(A,1) = 1 ) ) )).
fof(t19_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ! [H] : ( m2_subset_1(H,k4_ordinal1,k1_zf_lang) => ( k16_zf_lang(C,E,G,A) = k16_zf_lang(D,F,H,B) => ( C = D & E = F & G = H & A = B ) ) ) ) ) ) ) ) ) ) )).
fof(t19_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( r1_zf_model(A,B,k11_zf_lang(C,D)) <=> ( r1_zf_model(A,B,C) <=> r1_zf_model(A,B,D) ) ) ) ) ) ) )).
fof(t19_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( r2_tarski(B,A) => r2_tarski(k3_ordinal2(B),A) ) ) )).
fof(t19_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( r1_tarski(k1_tarski(C),k2_tarski(A,B)) & C != A & C != B ) )).
fof(t19_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ~ r2_tarski(k2_zf_lang(k5_numbers),k2_zf_model(B)) => ( r1_zf_model(A,C,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(B,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) <=> ! [D] : ( m1_subset_1(D,A) => ? [E] : ( m1_subset_1(E,A) & ! [F] : ( m1_subset_1(F,A) => ( r1_zf_model(A,k2_zf_lang1(A,k2_zf_lang1(A,C,k2_zf_lang(3),D),k2_zf_lang(4),F),B) <=> F = E ) ) ) ) ) ) ) ) ) )).
fof(t19_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_ordinal2(A,B) & r2_ordinal2(B,C) ) => r2_ordinal2(A,C) ) ) ) ) )).
fof(t19_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k4_algstr_0(A,C),B) ) ) ) ) ) )).
fof(t19_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k21_zmodul02(A,k19_zmodul02(A)) = k4_struct_0(A) ) )).
fof(t19_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,u1_struct_0(B)) => m1_zmodul01(k33_zmodul02(A,C),B) ) ) ) ) )).
fof(t19_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( m1_zmodul03(B,A) & v1_finset_1(B) & r2_xboole_0(k1_card_1(B),k1_card_1(C)) & v1_zmodul02(C,A) ) ) ) ) )).
fof(t19_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) ) ) ) )).
fof(t19_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ~ ( r1_struct_0(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B)),C) & ! [D] : ( v1_int_1(D) => C != k1_zmodul01(A,B,D) ) ) ) ) )).
fof(t1_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_yellow_0(A,B) & r2_tarski(k1_yellow_0(A,B),B) ) ) ) )).
fof(t1_abcmiz_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k1_funct_1(B,A),k3_card_3(B)) ) )).
fof(t1_abcmiz_a,axiom,( ! [A] : ( v1_xtuple_0(A) => A = k4_tarski(k1_xfamily(A),k2_xfamily(A)) ) )).
fof(t1_abian,axiom,( ! [A] : ( v1_int_1(A) => ( ~ ( ~ v1_abian(A) & ! [B] : ( v1_int_1(B) => A != k2_xcmplx_0(k3_xcmplx_0(2,B),1) ) ) & ~ ( ? [B] : ( v1_int_1(B) & A = k2_xcmplx_0(k3_xcmplx_0(2,B),1) ) & v1_abian(A) ) ) ) )).
fof(t1_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r1_absred_0(A,B,C) & v2_struct_0(A) ) ) ) ) )).
fof(t1_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ( k9_complex1(A) = A | k9_complex1(A) = k4_xcmplx_0(A) ) ) )).
fof(t1_aescip_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( B != k5_numbers & k4_nat_d(k1_nat_1(A,1),B) != k5_numbers & k4_nat_d(k1_nat_1(A,1),B) != k1_nat_1(k4_nat_d(A,B),1) ) ) ) )).
fof(t1_aff_2,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v2_aff_2(A) <=> v3_aff_2(A) ) ) )).
fof(t1_aff_3,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v1_aff_3(A) => v2_aff_3(A) ) ) )).
fof(t1_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ( r1_aff_1(A,E,B,D) | r1_aff_1(A,E,D,B) ) & E != B & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_aff_1(A,E,C,F) & r2_analoaf(A,B,C,D,F) ) ) ) ) ) ) ) ) )).
fof(t1_afinsq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( r2_hidden(B,A) => m1_subset_1(B,k4_ordinal1) ) ) )).
fof(t1_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) & B = u1_struct_0(A) ) => v1_aff_4(B,A) ) ) ) )).
fof(t1_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,B,C) ) ) ) )).
fof(t1_afvect01,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect01(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,B,C) ) ) ) )).
fof(t1_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( B = u1_struct_0(A) => k3_unialg_2(A,B) = u1_unialg_1(A) ) ) ) )).
fof(t1_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)),k9_xtuple_0(C)) => k1_funct_4(k1_funct_4(A,B),C) = k1_funct_4(k1_funct_4(B,A),C) ) ) ) ) )).
fof(t1_algstr_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_algstr_0(A,D,k4_struct_0(A)) = D ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k1_algstr_0(A,D,E) = k4_struct_0(A) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k1_algstr_0(A,k1_algstr_0(A,D,E),F) = k1_algstr_0(A,D,k1_algstr_0(A,E,F)) ) ) ) & k1_algstr_0(A,B,C) = k4_struct_0(A) ) => k1_algstr_0(A,C,B) = k4_struct_0(A) ) ) ) ) )).
fof(t1_algstr_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v1_algstr_1(A) & v4_algstr_1(A) & v7_algstr_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) <=> ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_algstr_0(A,B,k4_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & k1_algstr_0(A,B,C) = k4_struct_0(A) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_algstr_0(A,k1_algstr_0(A,B,C),D) = k1_algstr_0(A,B,k1_algstr_0(A,C,D)) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,B,C) = k1_algstr_0(A,C,B) ) ) & k4_struct_0(A) != k5_struct_0(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k5_struct_0(A)) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k5_struct_0(A),B) = B ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,D) != C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != k4_struct_0(A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,D,B) != C ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,B,D) => ( B = k4_struct_0(A) | C = D ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = k6_algstr_0(A,D,B) => ( B = k4_struct_0(A) | C = D ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,B,k4_struct_0(A)) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k4_struct_0(A),B) = k4_struct_0(A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,B,k1_algstr_0(A,C,D)) = k1_algstr_0(A,k6_algstr_0(A,B,C),k6_algstr_0(A,B,D)) ) ) ) ) ) ) )).
fof(t1_algstr_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( A != B & ! [E] : ( v1_xreal_0(E) => k2_xcmplx_0(k3_xcmplx_0(A,E),C) != k2_xcmplx_0(k3_xcmplx_0(B,E),D) ) ) ) ) ) ) )).
fof(t1_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(B,k1_yellow_6(A)) & r1_tarski(C,k1_yellow_6(A)) ) => r1_tarski(k2_zfmisc_1(B,C),k1_yellow_6(A)) ) )).
fof(t1_ali2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_ali2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( v1_compts_1(k3_pcomps_1(A)) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D) = D => D = C ) ) ) ) ) ) ) )).
fof(t1_altcat_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : r1_funct_2(k2_zfmisc_1(A,B),k2_zfmisc_1(k1_tarski(C),k1_tarski(D)),k2_zfmisc_1(A,B),k1_tarski(k4_tarski(C,D)),k16_funct_3(A,B,k1_tarski(C),k1_tarski(D),k7_funcop_1(A,C),k7_funcop_1(B,D)),k7_funcop_1(k2_zfmisc_1(A,B),k4_tarski(C,D))) )).
fof(t1_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_altcat_3(k8_altcat_1(A,B),A,B,B) & v2_altcat_3(k8_altcat_1(A,B),A,B,B) ) ) ) )).
fof(t1_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,B,D)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) => ( ( F = k5_altcat_1(A,B,C,D,E,G) & k5_altcat_1(A,C,D,C,G,k1_altcat_3(A,C,D,G)) = k8_altcat_1(A,C) ) => ( k1_altcat_1(A,B,C) = k1_xboole_0 | k1_altcat_1(A,C,D) = k1_xboole_0 | k1_altcat_1(A,D,C) = k1_xboole_0 | E = k5_altcat_1(A,B,D,C,F,k1_altcat_3(A,C,D,G)) ) ) ) ) ) ) ) ) ) )).
fof(t1_altcat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_xboole_0,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,u1_struct_0(A)))) ) => m1_altcat_5(k1_xboole_0,A,B,k1_xboole_0,C) ) ) ) )).
fof(t1_altcat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_xboole_0,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_xboole_0,u1_struct_0(A)))) ) => m1_altcat_6(k1_xboole_0,A,B,k1_xboole_0,C) ) ) ) )).
fof(t1_ami_3,axiom,( k4_struct_0(k1_ami_3) = k4_ordinal1 )).
fof(t1_ami_4,axiom,( k9_xtuple_0(k1_ami_4) = 5 )).
fof(t1_ami_5,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ? [B] : ( v7_ordinal1(B) & A = k10_ami_3(B) ) ) )).
fof(t1_ami_6,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_ami_3))) => ~ ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,8) & A = B ) ) ) )).
fof(t1_ami_wstd,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & l1_extpro_1(C,B) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_ami_wstd(B,C,D,E) & r1_ami_wstd(B,C,E,A) ) => r1_ami_wstd(B,C,D,A) ) ) ) ) ) ) )).
fof(t1_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( ! [D] : ( v7_ordinal1(D) => k1_amistd_1(A,B,D,C) = k1_tarski(D) ) => v1_xboole_0(k2_amistd_1(A,B,C)) ) ) ) ) )).
fof(t1_amistd_2,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k4_amistd_1(A))) => k2_compos_0(B) = k5_numbers ) ) )).
fof(t1_amistd_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_setfam_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v3_amistd_1(C,B) & l1_extpro_1(C,B) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) => ( D = k1_tarski(A) => k1_amistd_3(B,C,D) = k17_funcop_1(k5_numbers,A) ) ) ) ) ) )).
fof(t1_amistd_4,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_amistd_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,k4_memstr_0(A,B,E)) => ( v4_amistd_1(C,A,B) => ( E = k4_struct_0(B) | k5_memstr_0(A,B,k2_extpro_1(A,B,C,D)) = k5_memstr_0(A,B,k2_extpro_1(A,B,C,k1_amistd_4(A,B,D,E,F))) ) ) ) ) ) ) ) ) )).
fof(t1_amistd_5,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ( v2_amistd_1(C,A,B) => ! [D] : ( v7_ordinal1(D) => v2_amistd_1(k8_compos_0(u1_compos_1(B),C,D),A,B) ) ) ) ) ) )).
fof(t1_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => ( r2_analmetr(A,B,C,D,E) <=> ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( B = k3_rlvect_1(A,k1_rlvect_1(A,D,F),k1_rlvect_1(A,E,G)) & C = k3_rlvect_1(A,k1_rlvect_1(A,D,H),k1_rlvect_1(A,E,I)) ) => k2_xcmplx_0(k3_xcmplx_0(F,H),k3_xcmplx_0(G,I)) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_rlvect_1(A,k5_algstr_0(A,D,C),k5_algstr_0(A,C,B)) = k5_algstr_0(A,D,B) ) ) ) ) )).
fof(t1_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => k1_analort(A,D,E,k3_rlvect_1(A,B,C)) = k3_rlvect_1(A,k1_analort(A,D,E,B),k1_analort(A,D,E,C)) ) ) ) ) ) ) )).
fof(t1_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_anproj_1(A,B,C) <=> ? [D] : ( v1_xreal_0(D) & D != k5_numbers & B = k1_rlvect_1(A,C,D) ) ) ) ) ) )).
fof(t1_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)),k1_rlvect_1(A,D,G)) = k4_struct_0(A) => ( E = k5_numbers & F = k5_numbers & G = k5_numbers ) ) ) ) ) => ( ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ~ v9_struct_0(D,A) & ~ r2_anproj_1(A,B,C,D) & ~ r1_anproj_1(A,B,C) ) ) ) ) ) ) )).
fof(t1_aofa_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( r1_tarski(D,k9_xtuple_0(A)) & r1_tarski(D,k9_xtuple_0(B)) & r1_tarski(k10_xtuple_0(C),D) & ! [E] : ( r2_tarski(E,D) => k1_funct_1(A,E) = k1_funct_1(B,E) ) ) => k3_relat_1(C,A) = k3_relat_1(C,B) ) ) ) ) )).
fof(t1_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) ) => r1_tarski(k7_relat_1(C,B),A) ) )).
fof(t1_aofa_a01,axiom,( k4_nat_d(1,2) = 1 & k4_nat_d(2,2) = k5_numbers )).
fof(t1_aofa_i00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ~ ( D != E & E != F & F != D & ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ~ ( k1_funct_1(G,D) = A & k1_funct_1(G,E) = B & k1_funct_1(G,F) = C ) ) ) )).
fof(t1_aofa_l00,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( v1_aofa_l00(B,A) <=> ! [C] : ( ( r2_hidden(C,k9_xtuple_0(A)) & r2_hidden(C,k9_xtuple_0(B)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) )).
fof(t1_arithm,axiom,( ! [A] : ( v1_xcmplx_0(A) => k2_xcmplx_0(A,k5_numbers) = A ) )).
fof(t1_armstrng,axiom,( ! [A] : ( v2_finsub_1(A) => ! [B] : ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ( ( r2_tarski(B,A) & r1_tarski(C,A) ) => r2_tarski(k8_setfam_1(B,C),A) ) ) ) )).
fof(t1_arrow,axiom,( ! [A] : ( v1_finset_1(A) => ( r1_xxreal_0(2,k4_card_1(A)) => ! [B] : ( m1_subset_1(B,A) => ~ ! [C] : ( m1_subset_1(C,A) => C = B ) ) ) ) )).
fof(t1_arytm_0,axiom,( r1_tarski(k2_arytm_2,k1_numbers) )).
fof(t1_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ( k7_arytm_2(A,B) = B => A = k11_arytm_3 ) ) ) )).
fof(t1_arytm_2,axiom,( r1_tarski(k5_arytm_3,k2_arytm_2) )).
fof(t1_arytm_3,axiom,( ~ r1_arytm_3(k1_xboole_0,k1_xboole_0) )).
fof(t1_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,k1_nat_1(C,1))) ) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(B,C) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,D)) ) ) ) ) ) ) )).
fof(t1_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,A,C) = k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k2_nat_1(12,k5_series_1(C,3)),k3_power(2,C)),k3_xcmplx_0(5,k1_square_1(C))),k1_square_1(k3_power(2,C))),36) ) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,B,C) = k3_xcmplx_0(k5_series_1(C,3),k3_power(2,C)) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v4_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v4_asympt_0(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r2_funct_2(k4_ordinal1,k1_numbers,C,A) & r2_funct_2(k4_ordinal1,k1_numbers,D,B) & r2_tarski(C,k6_asympt_0(D)) ) ) ) ) ) ) )).
fof(t1_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => r4_alg_1(A,A,k6_partfun1(u1_struct_0(A))) ) )).
fof(t1_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( m1_subset_1(D,u1_struct_0(B)) => r1_struct_0(B,k2_group_3(A,D,C)) ) ) ) <=> v1_group_3(B,A) ) ) ) )).
fof(t1_axioms,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ~ ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,A) & r2_hidden(D,B) ) => r1_xxreal_0(C,D) ) ) ) & ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,A) & r2_hidden(E,B) & ~ ( r1_xxreal_0(D,C) & r1_xxreal_0(C,E) ) ) ) ) ) ) ) )).
fof(t1_bagorder,axiom,( ! [A] : ! [B] : ! [C] : ( ( r2_tarski(C,A) & r2_tarski(C,B) & k6_subset_1(A,k1_tarski(C)) = k6_subset_1(B,k1_tarski(C)) ) => A = B ) )).
fof(t1_ballot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( v7_ordinal1(C) => k10_afinsq_1(A,k5_relat_1(B,C)) = k17_finseq_1(A,C,k10_afinsq_1(A,B)) ) ) ) )).
fof(t1_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) <=> ( v5_bcialg_1(A) & v7_bcialg_1(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,C),k1_bcialg_1(A,B,D)),k1_bcialg_1(A,D,C)) = k4_struct_0(A) & k1_bcialg_1(A,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),C) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(t1_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_2(A,B,C,k5_numbers) = B ) ) ) )).
fof(t1_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v1_bcialg_3(A) & l2_bcialg_1(A) ) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_bcialg_1(A,k1_bcialg_1(A,B,k1_bcialg_1(A,B,C)),k1_bcialg_1(A,C,k1_bcialg_1(A,C,B))) ) ) ) ) )).
fof(t1_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,k3_bcialg_4(A,B,C)) & r1_bcialg_1(A,E,D) ) => r2_tarski(E,k3_bcialg_4(A,B,C)) ) ) ) ) ) ) )).
fof(t1_bcialg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_bcialg_1(A,B,C) & r1_bcialg_1(A,C,D) ) => r1_bcialg_1(A,B,D) ) ) ) ) ) )).
fof(t1_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k5_bcialg_1(A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),k5_bcialg_1(A)) => k1_bcialg_1(A,C,k1_bcialg_1(A,B,D)) = k1_bcialg_1(A,D,k1_bcialg_1(A,B,C)) ) ) ) ) )).
fof(t1_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_bcialg_1(A,B,C) => r1_bcialg_1(A,k1_bcialg_1(A,E,k1_bcialg_1(A,D,B)),k1_bcialg_1(A,E,k1_bcialg_1(A,D,C))) ) ) ) ) ) ) )).
fof(t1_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => k2_bhsp_1(A,k4_struct_0(A),k4_struct_0(A)) = k5_numbers ) )).
fof(t1_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(B) => v1_bhsp_2(B,A) ) ) ) )).
fof(t1_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_normsp_1(A,k1_bhsp_4(A,B),k1_bhsp_4(A,C)),k1_bhsp_4(A,k1_normsp_1(A,B,C))) ) ) ) )).
fof(t1_bhsp_5,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( v2_funct_1(B) & v2_funct_1(C) & k10_xtuple_0(B) = k10_xtuple_0(C) ) => ( k4_finseq_1(B) = k4_finseq_1(C) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) & C = k3_relat_1(D,B) & k9_xtuple_0(D) = k4_finseq_1(B) & k10_xtuple_0(D) = k4_finseq_1(B) ) ) ) ) ) )).
fof(t1_bhsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ( ( v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v2_binop_1(u1_algstr_0(A),u1_struct_0(A)) & v1_setwiseo(u1_algstr_0(A),u1_struct_0(A)) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_tarski(B,k1_relset_1(u1_struct_0(A),C)) & ! [D] : ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) => k1_funct_1(C,D) = D ) ) => k1_bhsp_6(A,B) = k5_bhsp_5(u1_struct_0(A),u1_struct_0(A),u1_algstr_0(A),B,C) ) ) ) ) ) )).
fof(t1_bhsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( r1_bhsp_6(A,B,C) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(E) & r1_tarski(E,B) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v1_xboole_0(F) & r1_tarski(F,B) & r1_xboole_0(E,F) & r1_xxreal_0(D,k9_complex1(k5_bhsp_5(k1_numbers,u1_struct_0(A),k9_binop_2,F,C))) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A)))) ) => r2_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A),k2_bilinear(A,B,C,D,k1_bilinear(A,B,C)),D) ) ) ) ) )).
fof(t1_binari_2,axiom,( ! [A] : ( ( v3_card_1(A,2) & m2_finseq_1(A,k5_margrel1) ) => ( A = k9_binarith(1,1,k5_margrel1,k10_binarith(k5_margrel1,k6_margrel1),k10_binarith(k5_margrel1,k6_margrel1)) => k3_binari_2(2,A) = k5_numbers ) ) )).
fof(t1_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ~ r1_xxreal_0(k5_series_1(2,A),k6_binarith(A,B)) ) ) )).
fof(t1_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => r1_xxreal_0(k2_xcmplx_0(A,1),k3_xcmplx_0(A,2)) ) ) )).
fof(t1_binarith,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( ( v3_card_1(E,B) & m2_finseq_1(E,C) ) => ( r2_hidden(A,k2_finseq_1(B)) => k7_partfun1(C,k8_finseq_1(C,E,k12_finseq_1(C,D)),A) = k7_partfun1(C,E,A) ) ) ) ) ) ) )).
fof(t1_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_algstr_0(A) & v2_vectsp_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_algstr_0(A,k4_struct_0(A),B) = k4_struct_0(A) ) ) )).
fof(t1_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( ! [F] : ! [G] : ( ( r2_tarski(F,A) & r2_tarski(G,B) ) => k1_binop_1(D,F,G) = k1_binop_1(E,F,G) ) => r2_funct_2(k2_zfmisc_1(A,B),C,D,E) ) ) ) )).
fof(t1_binop_2,axiom,( k3_binop_1(k2_numbers,k3_binop_2) = k5_numbers )).
fof(t1_bintree1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => k15_trees_3(k9_finseq_1(B)) = k3_pre_poly(A,k1_bintree1(A,B)) ) ) )).
fof(t1_bintree2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,k3_finseq_2(A)) => r2_tarski(k5_relat_1(B,k2_finseq_1(C)),k3_finseq_2(A)) ) ) ) )).
fof(t1_birkhoff,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),C,u3_msualg_1(A,B)) => r2_pboole(u1_struct_0(A),k2_funct_6(D),k2_funct_6(k1_birkhoff(A,C,B,D))) ) ) ) ) )).
fof(t1_boole,axiom,( ! [A] : k2_xboole_0(A,k1_xboole_0) = A )).
fof(t1_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,k3_lattices(A,B,C),D) => r3_lattices(A,B,D) ) ) ) ) ) )).
fof(t1_boolmark,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,B) => ( v1_funct_1(k1_funct_4(C,k8_funcop_1(B,D,E))) & v1_funct_2(k1_funct_4(C,k8_funcop_1(B,D,E)),A,B) & m1_subset_1(k1_funct_4(C,k8_funcop_1(B,D,E)),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) ) ) ) )).
fof(t1_borsuk_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => r1_tarski(u1_struct_0(B),u1_struct_0(A)) ) ) )).
fof(t1_borsuk_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ~ ( m1_pre_topc(B,A) & m1_pre_topc(C,A) & k2_xboole_0(k2_struct_0(B),k2_struct_0(C)) = k2_struct_0(A) & v1_compts_1(B) & v1_compts_1(C) & v8_pre_topc(A) & v5_pre_topc(E,B,D) & v5_pre_topc(F,C,D) & ! [G] : ( r2_tarski(G,k9_subset_1(u1_struct_0(C),k2_struct_0(B),k2_struct_0(C))) => k1_funct_1(E,G) = k1_funct_1(F,G) ) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(D)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(D)))) ) => ~ ( G = k1_funct_4(E,F) & v5_pre_topc(G,A,D) ) ) ) ) ) ) ) ) ) )).
fof(t1_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => k2_struct_0(k2_borsuk_1(A,B)) = k3_borsuk_1(A,B,k2_struct_0(A),k2_struct_0(B)) ) ) )).
fof(t1_borsuk_6,axiom,( u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)) = k8_mcart_1(k1_numbers,k1_numbers,k1_rcomp_1(k5_numbers,1),k1_rcomp_1(k5_numbers,1)) )).
fof(t1_borsuk_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & k1_square_1(A) = k1_square_1(B) ) => A = B ) ) ) )).
fof(t1_brouwer,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( r2_tarski(C,k1_brouwer(A,B)) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = k4_borsuk_1(A,B,D,E) & D != E ) ) ) ) ) )).
fof(t1_brouwer2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( v1_xreal_0(D) => k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),B,k6_xcmplx_0(1,D)),k1_rlvect_1(k15_euclid(A),C,D)) = k3_rlvect_1(k15_euclid(A),B,k1_rlvect_1(k15_euclid(A),k5_algstr_0(k15_euclid(A),C,B),D)) ) ) ) ) )).
fof(t1_brouwer3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_2(B,k9_funct_2(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k3_topmetr)),k4_finseq_2(A,k9_funct_2(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k3_topmetr)))) => ( ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k16_toprealc(k1_nat_1(A,1),C) ) ) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(k1_nat_1(A,1)))) => k3_funct_2(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k15_euclid(A)),k1_tietze_2(A,u1_struct_0(k15_euclid(k1_nat_1(A,1))),B),C) = k16_finseq_1(A,C) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))))) => ( ( C = a_1_0_brouwer3(A) & D = a_1_1_brouwer3(A) ) => ( k7_relset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k15_euclid(A)),k1_tietze_2(A,u1_struct_0(k15_euclid(k1_nat_1(A,1))),B),C) = k2_topreal9(A,k4_struct_0(k15_euclid(A)),1) & k7_relset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k15_euclid(A)),k1_tietze_2(A,u1_struct_0(k15_euclid(k1_nat_1(A,1))),B),D) = k2_topreal9(A,k4_struct_0(k15_euclid(A)),1) & k7_relset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k15_euclid(A)),k1_tietze_2(A,u1_struct_0(k15_euclid(k1_nat_1(A,1))),B),k9_subset_1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),C,D)) = k3_topreal9(A,k4_struct_0(k15_euclid(A)),1) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A,1)),C)),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A,1)),C)),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))))) ) => ( E = k2_partfun1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k15_euclid(A)),k1_tietze_2(A,u1_struct_0(k15_euclid(k1_nat_1(A,1))),B),C) => v3_tops_2(E,k1_pre_topc(k15_euclid(k1_nat_1(A,1)),C),k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)) ) ) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A,1)),D)),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(k1_nat_1(A,1)),D)),u1_struct_0(k2_brouwer(A,k4_struct_0(k15_euclid(A)),1))))) ) => ( E = k2_partfun1(u1_struct_0(k15_euclid(k1_nat_1(A,1))),u1_struct_0(k15_euclid(A)),k1_tietze_2(A,u1_struct_0(k15_euclid(k1_nat_1(A,1))),B),D) => v3_tops_2(E,k1_pre_topc(k15_euclid(k1_nat_1(A,1)),D),k2_brouwer(A,k4_struct_0(k15_euclid(A)),1)) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_bspace,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( r2_tarski(B,k4_finseq_1(C)) => r1_struct_0(A,k1_funct_1(C,B)) ) ) ) ) )).
fof(t1_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ( r1_setfam_1(C,D) => r1_tarski(k15_bvfunc_1(A,B,C),k15_bvfunc_1(A,B,D)) ) ) ) ) ) )).
fof(t1_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => k15_bvfunc_1(A,B,k2_partit1(A,C,D)) = k9_subset_1(A,k15_bvfunc_1(A,B,C),k15_bvfunc_1(A,B,D)) ) ) ) ) )).
fof(t1_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k14_margrel1(A,k9_bvfunc_1(A,B,C)),k15_margrel1(A,B,k14_margrel1(A,C))) ) ) ) )).
fof(t1_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( m1_subset_1(C,A) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) & r2_tarski(C,D) & ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A))) & k9_xtuple_0(E) = B & k10_xtuple_0(E) = F & ! [G] : ( r2_tarski(G,B) => r2_tarski(k1_funct_1(E,G),G) ) & D = k8_setfam_1(A,F) & D != k1_xboole_0 ) ) ) ) ) ) )).
fof(t1_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,C,D),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t1_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r1_bvfunc_1(A,B,k9_bvfunc_1(A,C,D)) => r1_bvfunc_1(A,k2_bvfunc_1(A,B,C),D) ) ) ) ) ) )).
fof(t1_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,B,k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,C,k12_bvfunc_1(A)) ) <=> r2_funct_2(A,k5_margrel1,k2_bvfunc_1(A,B,C),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t1_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k9_bvfunc_1(A,C,k2_bvfunc_1(A,B,C))),k12_bvfunc_1(A)) ) ) ) )).
fof(t1_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v4_vectsp_1(F) & v5_vectsp_1(F) & v3_group_1(F) & l6_algstr_0(F) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(F))) => ( ( G = A & D = k1_realset1(u1_algstr_0(F),G) & E = k1_realset1(u2_algstr_0(F),G) & B = k5_struct_0(F) & C = k4_struct_0(F) & v1_c0sp1(G,F) ) => m1_c0sp1(g6_algstr_0(A,D,E,B,C),F) ) ) ) ) ) ) ) ) )).
fof(t1_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ~ ( r2_tarski(k3_funct_2(u1_struct_0(A),k1_numbers,B,C),D) & v3_rcomp_1(D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(C,E) & v3_pre_topc(E,A) & r1_tarski(k7_relset_1(u1_struct_0(A),k1_numbers,B,E),D) ) ) ) ) ) ) ) ) )).
fof(t1_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ( r2_calcul_1(A,B,C) => ( r1_tarski(k2_relset_1(k3_cqc_lang(A),B),k2_relset_1(k3_cqc_lang(A),C)) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) & r1_tarski(k2_relset_1(k3_cqc_lang(A),B),k2_relset_1(k3_cqc_lang(A),k2_partfun1(k4_ordinal1,k3_cqc_lang(A),C,D))) ) ) ) ) ) ) )).
fof(t1_calcul_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k2_calcul_2(A,B)) <=> ( r1_xxreal_0(k2_xcmplx_0(1,A),C) & r1_xxreal_0(C,k2_xcmplx_0(B,A)) ) ) ) ) ) )).
fof(t1_cantor_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => r1_tarski(B,k1_cantor_1(A,B)) ) )).
fof(t1_card_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( r2_hidden(A,B) & r2_wellord2(B,C) ) => ( C != k1_xboole_0 & ? [D] : r2_hidden(D,C) ) ) )).
fof(t1_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) ) => k1_card_3(A) = A ) )).
fof(t1_card_4,axiom,( ! [A] : ( v1_finset_1(A) => v4_card_3(A) ) )).
fof(t1_card_5,axiom,( ! [A] : k2_card_1(k1_card_1(A)) = k2_card_1(A) )).
fof(t1_card_fil,axiom,( ! [A] : ! [B] : ( ~ v1_finset_1(B) => r2_tarski(k4_card_1(k1_tarski(A)),k1_card_1(B)) ) )).
fof(t1_card_lar,axiom,( ! [A] : ( ( v3_ordinal1(A) & v4_ordinal1(A) & ~ v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( r3_card_lar(A,B) <=> ( v2_card_lar(B,A) & v1_card_lar(B,A) ) ) ) ) )).
fof(t1_cardfin2,axiom,( ~ v2_abian(k6_partfun1(k1_xboole_0)) )).
fof(t1_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(B,k2_cat_1(A,C,D)) <=> ( k3_graph_1(A,B) = C & k4_graph_1(A,B) = D ) ) ) ) ) ) )).
fof(t1_cat_3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [E] : ( r2_tarski(E,A) => k7_partfun1(B,C,E) = k7_partfun1(B,D,E) ) => r2_funct_2(A,B,C,D) ) ) ) ) )).
fof(t1_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ( v1_cat_4(A) <=> ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & v10_cat_1(B,A) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u4_struct_0(A)) & ? [F] : ( m1_subset_1(F,u4_struct_0(A)) & k3_graph_1(A,E) = D & k3_graph_1(A,F) = D & k4_graph_1(A,E) = B & k4_graph_1(A,F) = C & r2_cat_3(A,D,E,F) ) ) ) ) ) ) ) ) )).
fof(t1_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_cat_1(B) ) => ( g1_cat_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A)) = g1_cat_1(u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B)) => ( v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) ) ) ) ) )).
fof(t1_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ~ ( v2_struct_0(A) & r1_cat_6(A,B,C) ) ) ) ) )).
fof(t1_cat_7,axiom,( ! [A] : ( l1_cat_6(A) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( ~ v2_struct_0(A) => r2_tarski(B,u1_struct_0(A)) ) ) ) )).
fof(t1_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => r1_xxreal_0(k7_nat_d(A,1),k7_nat_d(k3_xcmplx_0(2,A),3)) ) ) )).
fof(t1_catalan2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ? [D] : ( v1_relat_1(D) & v5_relat_1(D,A) & v1_funct_1(D) & v5_ordinal1(D) & v1_finset_1(D) & C = k1_ordinal4(k5_relat_1(C,B),D) ) ) ) )).
fof(t1_catalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => r6_pboole(A,k1_catalg_1(A,B,k6_partfun1(k3_card_3(B))),k2_msualg_3(A,B)) ) )).
fof(t1_cayldick,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k2_xcmplx_0(k1_square_1(k2_xcmplx_0(A,B)),k1_square_1(k2_xcmplx_0(C,D))),k1_square_1(k2_xcmplx_0(k3_square_1(k2_xcmplx_0(k1_square_1(A),k1_square_1(C))),k3_square_1(k2_xcmplx_0(k1_square_1(B),k1_square_1(D)))))) ) ) ) ) )).
fof(t1_cayley,axiom,( ! [A] : ! [B] : ( r2_tarski(B,k1_cayley(A)) => ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(t1_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v2_cfuncdom(B) & l1_cfuncdom(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,A),A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(k2_numbers,A),A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers,A),A))) ) => ( ( C = A & D = k4_struct_0(B) & E = k5_struct_0(B) & F = k1_realset1(u1_algstr_0(B),C) & G = k1_realset1(u2_algstr_0(B),C) & H = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(B)),u1_struct_0(B),u1_clvect_1(B),k2_zfmisc_1(k2_numbers,C)) & v1_c0sp1(C,B) ) => m1_cc0sp1(g1_cfuncdom(A,G,F,H,E,D),B) ) ) ) ) ) ) ) ) ) )).
fof(t1_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ( r2_funct_2(u1_struct_0(A),k2_numbers,C,k1_cc0sp2(A,B)) => v1_cc0sp2(C,A) ) ) ) ) )).
fof(t1_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_relset_1(k4_ordinal1,k2_numbers,A,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C)) <=> ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,A,D) = k6_xcmplx_0(k8_nat_1(k2_numbers,B,D),k8_nat_1(k2_numbers,C,D)) ) ) ) ) ) )).
fof(t1_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k2_numbers,A,B) & v2_comseq_2(A) ) => v2_comseq_2(B) ) ) ) )).
fof(t1_cfdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ( v1_partfun1(A,k2_numbers) => ( k1_relset_1(k2_numbers,k5_comseq_3(k2_numbers,A)) = k2_numbers & k1_relset_1(k2_numbers,k6_comseq_3(k2_numbers,A)) = k2_numbers ) ) ) )).
fof(t1_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [C] : ( m2_funct_2(C,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ! [D] : ( m2_funct_2(D,A,k2_numbers,k9_funct_2(A,k2_numbers)) => ( r2_funct_2(A,k2_numbers,D,k1_funcsdom(A,k2_numbers,k1_cfuncdom(A),B,C)) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k2_numbers,D,E) = k2_xcmplx_0(k3_funct_2(A,k2_numbers,B,E),k3_funct_2(A,k2_numbers,C,E)) ) ) ) ) ) ) )).
fof(t1_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( k1_relset_1(A,k2_valued_1(A,k2_numbers,k2_numbers,B,C)) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,k2_valued_1(A,k2_numbers,k2_numbers,B,C))) => k7_partfun1(k2_numbers,k2_valued_1(A,k2_numbers,k2_numbers,B,C),D) = k2_xcmplx_0(k7_partfun1(k2_numbers,B,D),k7_partfun1(k2_numbers,C,D)) ) ) ) ) ) ) )).
fof(t1_cgames_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( r2_hidden(B,k2_cgames_1(A)) <=> ? [C] : ( v1_cgames_1(C) & l1_cgames_1(C) & B = C & ! [D] : ~ ( r2_tarski(D,k2_xboole_0(u1_cgames_1(C),u2_cgames_1(C))) & ! [E] : ( v3_ordinal1(E) => ~ ( r2_tarski(E,A) & r2_tarski(D,k2_cgames_1(E)) ) ) ) ) ) ) )).
fof(t1_chain_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & ! [C] : ( m1_subset_1(C,k1_numbers) => ~ ( ~ r1_xxreal_0(C,A) & ~ r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t1_chord,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( v7_ordinal1(k6_xcmplx_0(A,1)) & r1_xxreal_0(1,A) ) ) )).
fof(t1_circcmb2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,B) & v1_finseq_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_2(B,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(B,A),A))) ) => ! [E] : ( m1_subset_1(E,u4_struct_0(k5_circcomb(D,C))) => ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k5_circcomb(D,C),k7_circcomb(B,A,D,C)))) => k3_circuit1(k5_circcomb(D,C),k7_circcomb(B,A,D,C),F,E) = k3_relat_1(C,F) ) ) ) ) ) ) )).
fof(t1_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => ! [D] : ( r2_tarski(D,k2_msafree2(A)) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k5_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) ) ) ) ) ) )).
fof(t1_circcomb,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( r1_tarski(C,D) => r1_tarski(k6_finseq_2(A,C),k6_finseq_2(B,D)) ) ) ) )).
fof(t1_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v3_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v3_rltopsp1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v3_rltopsp1(k1_rusub_5(A,B,C),A) ) ) ) )).
fof(t1_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m4_msaterm(C,A,B) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C))) => ( E = D => k7_msaterm(A,k2_pboole(u1_struct_0(A),u3_msualg_1(A,B),C),E) = k7_msaterm(A,C,D) ) ) ) ) ) ) )).
fof(t1_circuit1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,B),C)) => ( ( r2_tarski(C,k1_msafree2(A)) & r2_tarski(D,k1_msualg_2(A,B,C)) ) => k1_funct_1(k1_circuit1(A,B),C) = D ) ) ) ) ) )).
fof(t1_circuit2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & v5_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_pboole(C,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B)),u3_msualg_1(A,k11_msafree(A,B))) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_funcop_1(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & v6_trees_3(F) ) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),E)) => ~ ( r2_tarski(E,k3_msafree2(A)) & G = k4_trees_4(k4_tarski(k4_msafree2(A,E),u1_struct_0(A)),F) & r1_msualg_3(A,k11_msafree(A,B),k11_msafree(A,B),C) & D = k3_relat_1(k1_msualg_1(A,k4_msafree2(A,E)),C) & ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) & v6_trees_3(H) ) => ~ ( H = k15_pralg_1(D,F) & k3_funct_2(k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),E),k1_funct_1(u3_msualg_1(A,k11_msafree(A,B)),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B)),u3_msualg_1(A,k11_msafree(A,B)),C,E),G) = k4_trees_4(k4_tarski(k4_msafree2(A,E),u1_struct_0(A)),H) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( r4_pdiff_9(A,B,C,D) => k1_relset_1(k1_euclid(A),k5_pdiff_9(A,B,C,D)) = B ) ) ) ) )).
fof(t1_classes1,axiom,( ! [A] : ( v2_classes1(A) <=> ( v1_classes1(A) & ! [B] : ( r2_tarski(B,A) => r2_tarski(k9_setfam_1(B),A) ) & ! [B] : ( ( r1_tarski(B,A) & r2_tarski(k1_card_1(B),k1_card_1(A)) ) => r2_tarski(B,A) ) ) ) )).
fof(t1_classes2,axiom,( ! [A] : ! [B] : ( ( v1_classes1(B) & r2_tarski(A,B) ) => ( ~ r3_tarski(A,B) & r2_tarski(k1_card_1(A),k1_card_1(B)) ) ) )).
fof(t1_clopban1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,A) => k3_funct_2(A,u1_struct_0(B),k4_lopban_1(A,B),C) = k4_struct_0(B) ) ) ) )).
fof(t1_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & l1_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & l1_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_clopban1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_clopban1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E)) & v1_funct_2(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),u1_struct_0(A),u1_struct_0(C)) & v13_vectsp_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) & v1_clopban1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) & m1_subset_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) ) ) ) ) )).
fof(t1_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k4_struct_0(A) ) => ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,k1_bhsp_4(A,B),C) = k4_struct_0(A) ) ) ) ) )).
fof(t1_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v9_clvect_1(B,A) & v9_clvect_1(C,A) & k7_clvect_1(A,k2_normsp_1(A,B,C)) = k4_struct_0(A) ) => k7_clvect_1(A,B) = k7_clvect_1(A,C) ) ) ) ) )).
fof(t1_closure1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( r1_tarski(B,C) => r1_tarski(a_2_0_closure1(A,C),a_2_0_closure1(A,B)) ) ) )).
fof(t1_closure2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( r1_tarski(B,C) => r1_tarski(k3_funct_2(A,A,k6_partfun1(A),B),k3_funct_2(A,A,k6_partfun1(A),C)) ) ) ) ) )).
fof(t1_closure3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => k1_funct_4(B,C) = C ) ) ) )).
fof(t1_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xcmplx_0(C) => ( ( C = k5_numbers | B = k4_struct_0(A) ) => k1_clvect_1(A,B,C) = k4_struct_0(A) ) ) ) ) )).
fof(t1_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(B) => v1_clvect_2(B,A) ) ) ) )).
fof(t1_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k14_csspace(A,k1_bhsp_4(A,B),k1_bhsp_4(A,C)) = k1_bhsp_4(A,k14_csspace(A,B,C)) ) ) ) )).
fof(t1_coh_sp,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) & v1_coh_sp(A) ) => r2_tarski(k1_xboole_0,A) ) )).
fof(t1_cohsp_1,axiom,( ! [A] : ! [B] : ( r2_tarski(B,k1_cohsp_1(A)) <=> ~ ( B != k1_xboole_0 & ! [C] : ~ ( B = k1_tarski(C) & r2_tarski(C,A) ) ) ) )).
fof(t1_collsp,axiom,( ! [A] : ~ ( A != k1_xboole_0 & ! [B] : ( k1_tarski(B) != A & ! [C] : ! [D] : ~ ( C != D & r2_tarski(C,A) & r2_tarski(D,A) ) ) ) )).
fof(t1_combgras,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( k1_card_1(B) = A & k1_card_1(C) = A ) => ( B = C | ( r2_tarski(k1_card_1(k3_xboole_0(B,C)),A) & r1_ordinal1(k1_nat_1(A,1),k1_card_1(k2_xboole_0(B,C))) ) ) ) ) )).
fof(t1_commacat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,C) => ! [E] : ( m2_cat_1(E,B,C) => ! [F] : ( m2_subset_1(F,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)),k1_commacat(A,B,C,D,E)) => ( ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & ? [H] : ( m1_subset_1(H,u1_struct_0(B)) & ? [I] : ( m1_subset_1(I,u4_struct_0(C)) & r2_tarski(I,k2_cat_1(C,k8_cat_1(A,C,D,G),k8_cat_1(B,C,E,H))) ) ) ) => ( F = k1_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),k1_domain_1(u1_struct_0(A),u1_struct_0(B),k14_domain_1(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),F),k15_domain_1(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),F)),k3_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F)) & r2_tarski(k3_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F),k2_cat_1(C,k8_cat_1(A,C,D,k14_domain_1(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),F)),k8_cat_1(B,C,E,k15_domain_1(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),F)))) & k3_graph_1(C,k3_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F)) = k8_cat_1(A,C,D,k14_domain_1(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),F)) & k4_graph_1(C,k3_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F)) = k8_cat_1(B,C,E,k15_domain_1(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),F)) ) ) ) ) ) ) ) ) )).
fof(t1_compact1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_tex_3(k1_pre_topc(A,B),A) & v5_compact1(k1_pre_topc(A,B)) ) => v1_tsep_1(k1_pre_topc(A,B),A) ) ) ) )).
fof(t1_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v1_compl_sp(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => v2_seq_2(k1_compl_sp(A,B)) ) ) )).
fof(t1_complex1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(k1_square_1(A),k1_square_1(B)) = k5_numbers => A = k5_numbers ) ) ) )).
fof(t1_complex2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v1_xreal_0(C) => ~ ( C = k2_xcmplx_0(k3_xcmplx_0(B,k4_xcmplx_0(k1_int_1(k7_xcmplx_0(A,B)))),A) & r1_xxreal_0(k5_numbers,C) & ~ r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t1_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( ( A = C & B = D ) => k3_rlvect_1(k1_complfld,A,B) = k2_xcmplx_0(C,D) ) ) ) ) ) )).
fof(t1_complsp1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => u1_pre_topc(k1_complsp1(A)) = k25_seq_4(A) ) )).
fof(t1_complsp2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ! [C] : ( m2_finseq_1(C,k2_numbers) => ( r2_tarski(A,k4_finseq_1(k7_seq_4(B,C))) => k9_matrix_5(k7_seq_4(B,C),A) = k2_xcmplx_0(k9_matrix_5(B,A),k9_matrix_5(C,A)) ) ) ) ) )).
fof(t1_compos_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_compos_0(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ( ( k5_compos_0(A,B) = k5_compos_0(A,C) & k2_compos_0(B) = k2_compos_0(C) & k3_compos_0(B) = k3_compos_0(C) ) => B = C ) ) ) ) )).
fof(t1_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(A)) & m1_subset_1(B,u1_compos_1(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(A)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,A) & v4_compos_1(D,A) ) => k2_compos_2(A,k8_compos_1(A,C,D),B) = k8_compos_1(A,C,k2_compos_2(A,D,B)) ) ) ) ) )).
fof(t1_comptrig,axiom,( ! [A] : ( v1_xcmplx_0(A) => r1_xxreal_0(k4_xcmplx_0(k9_complex1(A)),k3_complex1(A)) ) )).
fof(t1_compts_1,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_compts_1(A) <=> v2_compts_1(k2_struct_0(A),A) ) ) )).
fof(t1_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( k1_funct_7(k10_finseq_1(A,B),1,C) = k10_finseq_1(C,B) & k1_funct_7(k10_finseq_1(A,B),2,C) = k10_finseq_1(A,C) ) )).
fof(t1_comseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) <=> ( k9_xtuple_0(A) = k4_ordinal1 & ! [B] : ( r2_tarski(B,k4_ordinal1) => m1_subset_1(k1_funct_1(A,B),k2_numbers) ) ) ) ) )).
fof(t1_comseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( k1_nat_1(A,1) != k5_complex1 & k3_xcmplx_0(k1_nat_1(A,1),k7_complex1) != k5_complex1 ) ) )).
fof(t1_conaffm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ( v4_conaffm(A) => v1_conaffm(A) ) ) )).
fof(t1_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_funct_1(k1_conlat_1(A),k1_tarski(B)) = a_2_2_conlat_1(A,B) ) ) )).
fof(t1_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( k5_lattices(k11_conlat_1(A)) = k6_conlat_1(A) & k6_lattices(k11_conlat_1(A)) = k5_conlat_1(A) ) ) )).
fof(t1_conmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r5_analmetr(A,B,C,D) & B != C & C != D & D != B ) ) ) ) )).
fof(t1_conmetr1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v4_conmetr1(A) <=> ( v5_conmetr1(A) & v6_conmetr1(A) ) ) ) )).
fof(t1_connsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_connsp_1(A,B,C) => r1_xboole_0(B,C) ) ) ) ) )).
fof(t1_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( m1_connsp_2(C,A,B) & m1_connsp_2(D,A,B) ) => m1_connsp_2(k4_subset_1(u1_struct_0(A),C,D),A,B) ) ) ) ) ) )).
fof(t1_connsp_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v2_connsp_1(C,A) & r1_tarski(B,C) ) => r1_tarski(B,k1_connsp_3(A,B)) ) ) ) )).
fof(t1_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v1_xreal_0(C) => ( v1_convex1(B,A) => v1_convex1(k1_convex1(A,B,C),A) ) ) ) ) )).
fof(t1_convex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_convex1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_convex1(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) )).
fof(t1_convex3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( v2_convex1(C,A) & m1_rlvect_2(C,A) & k6_rlvect_2(A,C) = B & ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,D) => ( v2_convex1(C,A) & m2_rlvect_2(C,A,D) ) ) ) ) ) ) )).
fof(t1_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),k2_numbers,B,C) = k5_complex1 <=> ~ r2_tarski(C,k1_convex4(A,B)) ) ) ) ) )).
fof(t1_convfun1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_convfun1(A,B))) => ! [F] : ( v1_xreal_0(F) => ( E = k1_domain_1(u1_struct_0(A),u1_struct_0(B),C,D) => k1_rlvect_1(k3_convfun1(A,B),E,F) = k1_domain_1(u1_struct_0(A),u1_struct_0(B),k1_rlvect_1(A,C,F),k1_rlvect_1(B,D,F)) ) ) ) ) ) ) ) )).
fof(t1_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( r2_tarski(B,k2_qc_lang1(A)) <=> ~ ( ~ r2_tarski(B,k4_qc_lang1(A)) & ~ r2_tarski(B,k5_qc_lang1(A)) & ~ r2_tarski(B,k3_qc_lang1(A)) ) ) ) )).
fof(t1_cqc_sim1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k9_relat_1(k1_funct_4(C,k17_funcop_1(A,B)),A) = k1_tarski(B) ) )).
fof(t1_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( v2_cqc_the1(k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),A) => v2_cqc_the1(k8_cqc_lang(A,k7_cqc_lang(A,B,C),D),A) ) ) ) ) ) )).
fof(t1_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r2_tarski(B,C) => r3_cqc_the1(A,C,B) ) ) ) ) )).
fof(t1_csspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_funct_2(k4_ordinal1,k2_numbers,k2_csspace(A),A) ) )).
fof(t1_csspace2,axiom,( u1_struct_0(k16_csspace) = k9_csspace & ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) <=> ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)),k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)))) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) <=> ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & v2_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(A),k2_comseq_2(k4_ordinal1,k2_csspace(A)))) ) ) & k4_struct_0(k16_csspace) = k4_csspace & ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => A = k2_csspace(A) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => k1_algstr_0(k16_csspace,A,B) = k1_series_1(k2_numbers,k2_csspace(A),k2_csspace(B)) ) ) & ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => k1_clvect_1(k16_csspace,B,A) = k25_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B),A) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ( k4_algstr_0(k16_csspace,A) = k31_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)) & r2_funct_2(k4_ordinal1,k2_numbers,k2_csspace(k4_algstr_0(k16_csspace,A)),k31_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A))) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => k5_algstr_0(k16_csspace,A,B) = k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(A),k2_csspace(B)) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k16_csspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_csspace)) => ( v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(A)),k55_valued_1(k4_ordinal1,k2_numbers,k2_csspace(B)))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k16_csspace)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_csspace)) => k10_csspace(k16_csspace,C,D) = k11_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_csspace(C),k2_comseq_2(k4_ordinal1,k2_csspace(D)))) ) ) ) ) ) )).
fof(t1_csspace3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),A)) ) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k9_complex1(k6_xcmplx_0(k3_comseq_2(B),A)) ) ) ) ) ) )).
fof(t1_csspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ( v1_comseq_2(A) & k2_seq_4(k2_relset_1(k1_numbers,k55_valued_1(k4_ordinal1,k2_numbers,A))) = k5_numbers ) <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_complex1 ) ) ) )).
fof(t1_dblseq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) & ~ r1_xxreal_0(k9_complex1(B),k9_complex1(A)) & ~ r1_xxreal_0(k9_complex1(B),k9_complex1(C)) ) ) ) ) )).
fof(t1_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v6_dblseq_1(A) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => v7_valued_0(k5_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)) ) & ! [B] : ( m1_subset_1(B,k4_ordinal1) => v7_valued_0(k6_mesfunc9(k4_ordinal1,k4_ordinal1,k1_numbers,A,B)) ) ) ) ) )).
fof(t1_decomp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( k3_decomp_1(A,B) = k2_decomp_1(A,B) <=> k1_decomp_1(A,B) = k4_decomp_1(A,B) ) ) ) )).
fof(t1_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( m2_finseq_2(D,A,k4_finseq_2(C,A)) => ( r1_xxreal_0(B,C) => m2_finseq_2(k2_descip_1(A,B,D),A,k4_finseq_2(B,A)) ) ) ) ) ) )).
fof(t1_dickson,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( k9_xtuple_0(A) = k1_tarski(B) => A = k17_funcop_1(B,k1_funct_1(A,B)) ) ) )).
fof(t1_diff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,C)) & r2_tarski(k2_xcmplx_0(B,A),k1_relset_1(k1_numbers,C)) ) => k1_funct_1(k3_diff_1(C,A),B) = k6_xcmplx_0(k1_funct_1(C,k2_xcmplx_0(B,A)),k1_funct_1(C,B)) ) ) ) ) )).
fof(t1_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k9_diff_1(C,B,k2_xcmplx_0(B,A)) = k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k6_diff_1(C,A),1),B),A) ) ) ) )).
fof(t1_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k5_diff_1(C,A),B) = k6_xcmplx_0(k1_funct_1(k3_diff_1(C,k7_xcmplx_0(A,2)),B),k1_funct_1(k3_diff_1(C,k4_xcmplx_0(k7_xcmplx_0(A,2))),B)) ) ) ) )).
fof(t1_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & k6_xcmplx_0(k3_power(k4_power,A),k3_power(k4_power,B)) != k3_power(k4_power,k7_xcmplx_0(A,B)) ) ) ) )).
fof(t1_dilworth,axiom,( ! [A] : ! [B] : ! [C] : ( ~ r2_tarski(C,A) => k6_subset_1(A,k2_xboole_0(B,k1_tarski(C))) = k6_subset_1(A,B) ) )).
fof(t1_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,B,C) ) ) ) )).
fof(t1_dirort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k5_analort(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_analort(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_analort(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_analort(A,B,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_analort(A,B,C))) => ( r4_analmetr(k5_analort(A,B,C),D,D,F,H) & r4_analmetr(k5_analort(A,B,C),D,F,H,H) & ~ ( r4_analmetr(k5_analort(A,B,C),D,F,E,G) & r4_analmetr(k5_analort(A,B,C),D,F,G,E) & D != F & E != G ) & ~ ( r4_analmetr(k5_analort(A,B,C),D,F,E,G) & r4_analmetr(k5_analort(A,B,C),D,F,E,H) & ~ r4_analmetr(k5_analort(A,B,C),D,F,G,H) & ~ r4_analmetr(k5_analort(A,B,C),D,F,H,G) ) & ( r4_analmetr(k5_analort(A,B,C),D,F,E,G) => r4_analmetr(k5_analort(A,B,C),F,D,G,E) ) & ( ( r4_analmetr(k5_analort(A,B,C),D,F,E,G) & r4_analmetr(k5_analort(A,B,C),D,F,G,H) ) => r4_analmetr(k5_analort(A,B,C),D,F,E,H) ) & ~ ( r4_analmetr(k5_analort(A,B,C),D,E,F,G) & ~ r4_analmetr(k5_analort(A,B,C),F,G,D,E) & ~ r4_analmetr(k5_analort(A,B,C),F,G,E,D) ) ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_analort(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_analort(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_analort(A,B,C))) => ? [G] : ( m1_subset_1(G,u1_struct_0(k5_analort(A,B,C))) & F != G & r4_analmetr(k5_analort(A,B,C),F,G,D,E) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_analort(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_analort(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_analort(A,B,C))) => ? [G] : ( m1_subset_1(G,u1_struct_0(k5_analort(A,B,C))) & F != G & r4_analmetr(k5_analort(A,B,C),D,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t1_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_1(B,A) => ( ( A = k6_domain_1(k4_ordinal1,1) & B = k2_matrprob(1) ) => k4_dist_1(A,B) = k2_matrprob(1) ) ) ) )).
fof(t1_domain_1,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ~ ( r2_tarski(A,k2_zfmisc_1(B,C)) & ! [D] : ( m1_subset_1(D,B) => ! [E] : ( m1_subset_1(E,C) => A != k4_tarski(D,E) ) ) ) ) ) )).
fof(t1_dtconstr,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k5_trees_3(A)) => m2_finseq_1(B,k4_trees_3(A)) ) ) )).
fof(t1_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ~ v2_struct_0(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A))) & v13_algstr_0(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A))) & v2_rlvect_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A))) & v3_rlvect_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A))) & v4_rlvect_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A))) & v8_vectsp_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A)),k2_vectsp_1) & v9_vectsp_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A)),k2_vectsp_1) & v10_vectsp_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A)),k2_vectsp_1) & v11_vectsp_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A)),k2_vectsp_1) & l1_vectsp_1(g1_vectsp_1(k2_vectsp_1,u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A),k1_dualsp01(A)),k2_vectsp_1) ) ) )).
fof(t1_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_dualsp01(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( ? [E] : ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) & E = a_3_0_dualsp02(A,B,C) & D = k3_seq_4(E) & ~ r1_xxreal_0(k3_seq_4(E),k5_numbers) ) => ( ~ r1_struct_0(B,C) & ? [E] : ( m1_subset_1(E,u1_struct_0(k17_dualsp01(A))) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_struct_0(B,F) => k3_funct_2(u1_struct_0(A),k1_numbers,k14_dualsp01(A,E),F) = k5_numbers ) ) & k3_funct_2(u1_struct_0(A),k1_numbers,k14_dualsp01(A,E),C) = 1 & k2_normsp_0(k17_dualsp01(A),E) = k7_xcmplx_0(1,D) ) ) ) ) ) ) ) )).
fof(t1_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( r2_tarski(C,k10_xtuple_0(B)) <=> ? [D] : ( m1_subset_1(D,k4_ordinal1) & k8_nat_1(k9_setfam_1(A),B,D) = C ) ) ) ) )).
fof(t1_e_siec,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => ( ( v2_e_siec(g1_e_siec(A,B,C)) & v3_e_siec(g1_e_siec(A,B,C)) & l1_e_siec(g1_e_siec(A,B,C)) ) <=> ( r1_tarski(B,k2_zfmisc_1(A,A)) & r1_tarski(C,k2_zfmisc_1(A,A)) & k3_relat_1(B,B) = B & k3_relat_1(B,C) = B & k3_relat_1(C,C) = C & k3_relat_1(C,B) = C & k3_relat_1(B,k4_xboole_0(B,k4_relat_1(A))) = k1_xboole_0 & k3_relat_1(C,k4_xboole_0(C,k4_relat_1(A))) = k1_xboole_0 ) ) ) ) )).
fof(t1_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => m1_ec_pf_1(A,A) ) )).
fof(t1_ec_pf_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B = k4_algstr_0(A,C) => k2_binom(A,B,2) = k2_binom(A,C,2) ) ) ) ) )).
fof(t1_endalg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => r1_tarski(k1_endalg(A),k9_funct_2(u1_struct_0(A),u1_struct_0(A))) ) )).
fof(t1_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( r2_tarski(B,k1_ens_1(A)) <=> ? [C] : ( m1_subset_1(C,A) & ? [D] : ( m1_subset_1(D,A) & ( D = k1_xboole_0 => C = k1_xboole_0 ) & v1_funct_1(B) & v1_funct_2(B,C,D) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,D))) ) ) ) ) )).
fof(t1_entropy1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( C != k5_numbers & ~ r1_xxreal_0(D,A) & r1_xxreal_0(D,B) & r1_nat_d(C,D) & r1_xxreal_0(k3_nat_d(B,C),k3_nat_d(A,C)) ) ) ) ) ) )).
fof(t1_enumset1,axiom,( ! [A] : ! [B] : k2_tarski(A,B) = k2_xboole_0(k1_tarski(A),k1_tarski(B)) )).
fof(t1_eqrel_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r2_relset_1(A,A,k3_eqrel_1(A,k1_eqrel_1(A),B),k1_eqrel_1(A)) ) )).
fof(t1_equation,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( k2_relset_1(C,k1_partfun1(A,B,B,C,D,E)) = C => k2_relset_1(C,E) = C ) ) ) ) ) )).
fof(t1_euclid10,axiom,( ! [A] : ( v1_xreal_0(A) => k17_sin_cos(k6_xcmplx_0(k28_sin_cos,A)) = k17_sin_cos(A) ) )).
fof(t1_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(B,k1_numbers)) => k1_funct_1(k14_rvsum_1(C,k5_euclid(B)),A) = k5_numbers ) ) ) )).
fof(t1_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k2_euclid_3(k1_euclid_3(A)) = A ) )).
fof(t1_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ( k7_euclid(A,k9_euclid(A,B,k5_numbers),B) = B & k7_euclid(A,B,k5_euclid(A)) = B ) ) ) )).
fof(t1_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & A = k11_finseq_1(B,C,D) ) ) ) ) )).
fof(t1_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( k17_sin_cos(k4_euclid_3(A,B,C)) = k17_sin_cos(k4_euclid_3(D,E,F)) & k19_sin_cos(k4_euclid_3(A,B,C)) = k19_sin_cos(k4_euclid_3(D,E,F)) ) => k4_euclid_3(A,B,C) = k4_euclid_3(D,E,F) ) ) ) ) ) ) ) )).
fof(t1_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => A = k1_euclid_8(k1_funct_1(A,1),k1_funct_1(A,2),k1_funct_1(A,3)) ) )).
fof(t1_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_card_1(B,A) & v1_finseq_1(B) ) => ( v1_xboole_0(B) => A = k5_numbers ) ) ) )).
fof(t1_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(D)) => ( k9_euclid(D,k9_euclid(D,E,C),k7_xcmplx_0(A,B)) = k9_euclid(D,E,k7_xcmplx_0(k3_xcmplx_0(A,C),B)) & k9_euclid(D,k9_euclid(D,E,C),k7_xcmplx_0(1,B)) = k9_euclid(D,E,k7_xcmplx_0(C,B)) ) ) ) ) ) ) )).
fof(t1_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_analmetr(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r5_analmetr(A,B,C,D) => ( B != C & C != D & B != D ) ) ) ) ) ) )).
fof(t1_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_int_2(A,A) <=> A = 1 ) ) )).
fof(t1_euler_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) <=> r1_int_2(A,B) ) ) ) )).
fof(t1_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( r2_tarski(C,k6_subset_1(k10_ordinal2(A,B),A)) <=> ? [D] : ( v3_ordinal1(D) & C = k10_ordinal2(A,D) & r2_tarski(D,B) ) ) ) ) )).
fof(t1_extens_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_pboole(D,A,B,C) => ! [E] : ( m3_pboole(E,A,B) => ( r2_pboole(A,B,E) => r6_pboole(A,k1_msafree(A,B,C,E,D),D) ) ) ) ) ) )).
fof(t1_extpro_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_extpro_1(A))) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(A,k1_extpro_1(A))) & v1_partfun1(B,u1_struct_0(k1_extpro_1(A))) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_extpro_1(A))) => k2_extpro_1(A,k1_extpro_1(A),C,B) = B ) ) ) )).
fof(t1_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( A = C & B = D ) => k4_xxreal_3(A,B) = k3_xcmplx_0(C,D) ) ) ) ) ) )).
fof(t1_facirc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ~ ( v2_facirc_1(A) & v1_facirc_1(k10_xtuple_0(A)) ) ) )).
fof(t1_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != C & B != C & k6_subset_1(k2_tarski(A,B),k1_tarski(C)) != k2_tarski(A,B) ) )).
fof(t1_fcont_1,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_hidden(B,A) & r1_fcont_1(C,B) ) => r1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,A),B) ) ) ) )).
fof(t1_fcont_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_fcont_2(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( r2_hidden(E,k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,A))) & r2_hidden(F,k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,A))) & ~ r1_xxreal_0(D,k9_complex1(k6_xcmplx_0(E,F))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(k1_funct_1(B,E),k1_funct_1(B,F)))) ) ) ) ) ) ) ) ) ) )).
fof(t1_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(B,k2_rcomp_1(k6_xcmplx_0(A,C),k2_xcmplx_0(A,C))) & r1_xxreal_0(C,k9_complex1(k6_xcmplx_0(B,A))) ) ) ) ) )).
fof(t1_fdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) <=> r2_hidden(B,k1_numbers) ) ) <=> A = k1_numbers ) ) )).
fof(t1_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k26_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k26_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k26_sin_cos),A),B) = k3_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k27_sin_cos,B)))),k4_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k1_funct_1(k16_sin_cos,B))))) ) ) ) ) ) )).
fof(t1_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_sin_cos9))) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( ~ r1_xxreal_0(k1_funct_1(k16_sin_cos,B),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(k16_sin_cos,B)) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_sin_cos9),A),B) = k7_xcmplx_0(k1_funct_1(k18_sin_cos,B),k2_xcmplx_0(1,k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t1_fdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) & k1_seq_2(A) = k1_seq_2(B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( k3_funct_2(k4_ordinal1,k1_numbers,C,k2_nat_1(2,D)) = k3_funct_2(k4_ordinal1,k1_numbers,A,D) & k3_funct_2(k4_ordinal1,k1_numbers,C,k1_nat_1(k2_nat_1(2,D),1)) = k3_funct_2(k4_ordinal1,k1_numbers,B,D) ) ) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k1_seq_2(A) ) ) ) ) ) )).
fof(t1_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k3_taylor_1))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k2_xcmplx_0(A,D) & ~ r1_xxreal_0(k1_funct_1(C,D),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k3_taylor_1),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k3_taylor_1),B),D) = k7_xcmplx_0(1,k2_xcmplx_0(A,D)) ) ) ) ) ) ) ) )).
fof(t1_fdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k3_rfunct_1(k1_numbers,k1_numbers,C,D))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => ( k1_funct_1(C,E) = k2_xcmplx_0(A,E) & k1_funct_1(D,E) = k6_xcmplx_0(A,E) & k1_funct_1(D,E) != k5_numbers ) ) ) ) => ( r2_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,C,D),B),E) = k7_xcmplx_0(k3_xcmplx_0(2,A),k1_square_1(k6_xcmplx_0(A,E))) ) ) ) ) ) ) ) ) )).
fof(t1_fdiff_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k1_funct_1(k22_sin_cos,k3_xcmplx_0(A,k3_power(k4_power,B))) = k6_prepower(B,A) ) ) ) )).
fof(t1_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => k3_prepower(A,2) = k1_square_1(A) ) )).
fof(t1_fdiff_8,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r2_hidden(A,k1_relset_1(k1_numbers,k26_sin_cos)) & k1_funct_1(k18_sin_cos,A) = k5_numbers ) ) )).
fof(t1_fdiff_9,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k18_sin_cos,A) != k5_numbers => ( r1_fdiff_1(k1_fdiff_9,A) & k1_fdiff_1(k1_fdiff_9,A) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,A),k1_square_1(k1_funct_1(k18_sin_cos,A))) ) ) ) )).
fof(t1_ff_siec,axiom,( ! [A] : ! [B] : ( r1_xboole_0(A,B) => ( u1_struct_0(k1_ff_siec(A,B)) = A & u4_struct_0(k1_ff_siec(A,B)) = B & k1_net_1(k1_ff_siec(A,B)) = k1_xboole_0 ) ) )).
fof(t1_fib_fusc,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_fib_fusc,A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v5_memstr_0(C,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(C,k16_afinsq_1(1,B,k5_numbers,k5_numbers)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,C) & ( B = k5_numbers => k8_extpro_1(k5_card_1(2),k1_ami_3,A,C) = 1 ) & ( ~ r1_xxreal_0(B,k5_numbers) => k8_extpro_1(k5_card_1(2),k1_ami_3,A,C) = k6_xcmplx_0(k2_nat_1(6,B),2) ) & k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,C),k10_ami_3(3)) = k1_pre_ff(B) ) ) ) ) ) )).
fof(t1_fib_num,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_int_2(A,B) = k3_int_2(A,k1_nat_1(B,A)) ) ) )).
fof(t1_fib_num2,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => k1_nat_1(k7_nat_d(A,1),2) = k1_nat_1(A,1) ) )).
fof(t1_fib_num3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( k2_power(A,B) = k5_numbers => A = k5_numbers ) ) ) )).
fof(t1_fib_num4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => k2_power(k7_xcmplx_0(A,B),C) = k7_xcmplx_0(k2_power(A,C),k2_power(B,C)) ) ) ) )).
fof(t1_filerec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( k7_finseq_1(k7_finseq_1(k7_finseq_1(A,B),C),D) = k7_finseq_1(k7_finseq_1(A,k7_finseq_1(B,C)),D) & k7_finseq_1(k7_finseq_1(k7_finseq_1(A,B),C),D) = k7_finseq_1(k7_finseq_1(A,B),k7_finseq_1(C,D)) & k7_finseq_1(k7_finseq_1(A,k7_finseq_1(B,C)),D) = k7_finseq_1(k7_finseq_1(A,B),k7_finseq_1(C,D)) ) ) ) ) ) )).
fof(t1_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,B,C) => r3_lattices(A,k3_lattices(A,D,B),k3_lattices(A,D,C)) ) ) ) ) ) )).
fof(t1_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(k9_subset_1(u1_struct_0(A),B,C)) & v19_lattices(k9_subset_1(u1_struct_0(A),B,C),A) & v20_lattices(k9_subset_1(u1_struct_0(A),B,C),A) & m1_subset_1(k9_subset_1(u1_struct_0(A),B,C),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t1_filter_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( D = k1_realset1(C,B) => ( ( v1_binop_1(C,A) => v1_binop_1(D,B) ) & ( v3_binop_1(C,A) => v3_binop_1(D,B) ) & ( v2_binop_1(C,A) => v2_binop_1(D,B) ) ) ) ) ) ) ) )).
fof(t1_fin_topo,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k9_setfam_1(A)) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k3_finseq_1(B),C) | r1_tarski(k7_partfun1(k9_setfam_1(A),B,C),k7_partfun1(k9_setfam_1(A),B,k1_nat_1(C,1))) ) ) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(C,D) & r1_xxreal_0(1,C) & r1_xxreal_0(D,k3_finseq_1(B)) ) => r1_tarski(k7_partfun1(k9_setfam_1(A),B,C),k7_partfun1(k9_setfam_1(A),B,D)) ) ) ) ) ) )).
fof(t1_finance1,axiom,( ! [A] : ( v1_xreal_0(A) => k6_subset_1(k1_numbers,k3_rcomp_1(A,k1_xxreal_0)) = k2_rcomp_1(k2_xxreal_0,A) ) )).
fof(t1_finance2,axiom,( r2_tarski(1,k1_numbers) & r2_hidden(k4_xcmplx_0(1),k1_numbers) )).
fof(t1_finseq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_hidden(A,k1_finseq_1(B)) <=> ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) ) ) ) ) )).
fof(t1_finseq_3,axiom,( k2_finseq_1(3) = k1_enumset1(1,2,3) )).
fof(t1_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r1_finseq_4(A,B) => r2_hidden(B,k9_xtuple_0(A)) ) ) )).
fof(t1_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => m1_subset_1(k2_xcmplx_0(k6_xcmplx_0(B,A),1),k4_ordinal1) ) ) ) )).
fof(t1_finseq_6,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( ( r1_tarski(A,k2_finseq_1(B)) & r2_tarski(1,A) ) => k1_funct_1(k14_finseq_1(A),1) = 1 ) ) )).
fof(t1_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(D,k3_finseq_1(B)) ) => ( r1_xxreal_0(D,C) | B = k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k17_finseq_1(A,k7_nat_d(C,1),B),k9_finseq_1(k1_funct_1(B,C))),k17_finseq_1(A,k7_nat_d(k7_nat_d(D,C),1),k2_rfinseq(A,C,B))),k9_finseq_1(k1_funct_1(B,D))),k2_rfinseq(A,D,B)) ) ) ) ) ) ) )).
fof(t1_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_xxreal_0(1,k3_finseq_1(B)) => k3_finseq_6(A,k8_finseq_1(A,B,C),1,k3_finseq_1(B)) = B ) ) ) ) )).
fof(t1_finseqop,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k13_funct_3(k1_xboole_0,A) = k1_xboole_0 & k13_funct_3(A,k1_xboole_0) = k1_xboole_0 ) ) )).
fof(t1_finset_1,axiom,( ! [A] : ! [B] : ( ( r1_tarski(A,B) & v1_finset_1(B) ) => v1_finset_1(A) ) )).
fof(t1_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ~ ( r1_xxreal_0(1,k3_finseq_1(B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ~ ( k8_nat_1(A,D,1) = k1_funct_1(B,1) & ! [E] : ( v7_ordinal1(E) => ~ ( k5_numbers != E & ~ r1_xxreal_0(k3_finseq_1(B),E) & k8_nat_1(A,D,k1_nat_1(E,1)) != k1_binop_1(C,k8_nat_1(A,D,E),k1_funct_1(B,k1_nat_1(E,1))) ) ) & k1_finsop_1(A,B,C) = k8_nat_1(A,D,k3_finseq_1(B)) ) ) ) ) ) ) )).
fof(t1_finsub_1,axiom,( ! [A] : ( v4_finsub_1(A) <=> ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => ( r2_tarski(k2_xboole_0(B,C),A) & r2_tarski(k6_subset_1(B,C),A) ) ) ) )).
fof(t1_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k8_fin_topo(A,B),k8_fin_topo(A,C)) ) ) ) ) )).
fof(t1_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_orders_2(A) => r1_tarski(B,k12_fin_topo(A,B)) ) ) ) )).
fof(t1_fintopo4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(C,D) => r1_tarski(k7_fintopo3(A,B,C),k7_fintopo3(A,B,D)) ) ) ) ) ) )).
fof(t1_fintopo5,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( v2_funct_1(C) => k7_relat_1(k2_funct_1(C),k7_relset_1(A,B,C,D)) = D ) ) ) ) )).
fof(t1_flang_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ ( r1_xxreal_0(B,A) & r1_xxreal_0(C,A) ) & r1_xxreal_0(k2_xcmplx_0(B,C),A) ) ) ) ) )).
fof(t1_flang_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k2_xcmplx_0(C,B),A) & r1_xxreal_0(A,k2_xcmplx_0(D,B)) & ! [E] : ( v7_ordinal1(E) => ~ ( k2_xcmplx_0(E,B) = A & r1_xxreal_0(C,E) & r1_xxreal_0(E,D) ) ) ) ) ) ) ) )).
fof(t1_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ( r1_tarski(C,k8_flang_1(A,B)) => ( r1_tarski(k6_flang_1(A,k8_flang_1(A,B),C),k8_flang_1(A,B)) & r1_tarski(k6_flang_1(A,C,k8_flang_1(A,B)),k8_flang_1(A,B)) ) ) ) ) )).
fof(t1_fomodel0,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => k3_xboole_0(k4_finseq_2(C,A),k3_finseq_2(B)) = k3_xboole_0(k4_finseq_2(C,A),k4_finseq_2(C,B)) ) )).
fof(t1_fomodel1,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ( k8_subset_1(k15_fomodel1(A),k16_fomodel1(A),k3_fomodel1(A)) = k1_xboole_0 & k3_xboole_0(k5_fomodel1(A),k6_fomodel1(A)) = k3_fomodel1(A) & k6_subset_1(k4_fomodel1(A),k9_fomodel1(A)) = k1_tarski(k18_fomodel1(A)) & r1_tarski(k9_fomodel1(A),k17_fomodel1(A)) & r1_tarski(k4_fomodel1(A),k6_fomodel1(A)) & r1_tarski(k3_fomodel1(A),k5_fomodel1(A)) & r1_tarski(k16_fomodel1(A),k5_fomodel1(A)) & r1_tarski(k5_fomodel1(A),k9_fomodel1(A)) & r1_tarski(k3_fomodel1(A),k6_fomodel1(A)) & r1_tarski(k6_fomodel1(A),k17_fomodel1(A)) ) ) )).
fof(t1_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v14_fomodel1(B,k5_numbers,A) & m2_subset_1(B,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => B = k43_fomodel1(A,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),B)) ) ) )).
fof(t1_fomodel3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_bvfunc_1(C,A,k8_eqrel_1(A,B)) => ! [D] : ( m1_bvfunc_1(D,A,k8_eqrel_1(A,B)) => ( ~ r2_subset_1(C,D) => C = D ) ) ) ) ) )).
fof(t1_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)),k9_setfam_1(k1_fomodel4(B))))) => ! [D] : ( v2_fomodel4(D,B) => ~ ( v4_fomodel4(k1_tarski(A),B,C,D) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ v5_fomodel4(A,E,B,C,D) ) ) ) ) ) )).
fof(t1_fraenkel,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( r2_relset_1(A,B,k2_partfun1(A,B,C,E),k2_partfun1(A,B,D,E)) => ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,E) => k1_funct_1(C,F) = k1_funct_1(D,F) ) ) ) ) ) )).
fof(t1_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => m1_subset_1(k2_relset_1(u1_struct_0(A),B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(t1_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_ordinal1) & v5_valued_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( v1_funct_1(k2_valued_0(u1_struct_0(A),C,B)) & v1_funct_2(k2_valued_0(u1_struct_0(A),C,B),k4_ordinal1,u1_struct_0(A)) & m1_subset_1(k2_valued_0(u1_struct_0(A),C,B),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) ) ) ) )).
fof(t1_freealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ ( k6_unialg_2(A) = k1_xboole_0 & B = k1_xboole_0 ) => ( m1_freealg(B,A) <=> k7_unialg_2(A,B) = A ) ) ) ) )).
fof(t1_friends1,axiom,( ! [A] : ( v1_relat_1(A) => k1_card_1(A) = k1_card_1(k2_relat_1(A)) ) )).
fof(t1_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : v1_relat_1(k3_msafree2(k4_fscirc_1(A,B,C))) )).
fof(t1_fscirc_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1),k1_xboole_0) & k1_funct_1(E,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k7_margrel1)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( v4_msualg_1(H,G) & l3_msualg_1(H,G) ) => ! [I] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & I = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k8_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(D,k1_nat_1(F,1)) = k3_circcomb(G,k8_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I),H,k9_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(E,k1_nat_1(F,1)) = k6_fscirc_1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k1_fscirc_2(F,A,B) = k1_funct_1(C,F) & k2_fscirc_2(F,A,B) = k1_funct_1(D,F) & k3_fscirc_2(F,A,B) = k1_funct_1(E,F) ) ) ) ) ) ) ) ) )).
fof(t1_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_fsm_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k2_fsm_1(A,B,C,k6_finseq_1(A)) = k12_finseq_1(u1_struct_0(B),C) ) ) ) )).
fof(t1_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & l1_fsm_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => k2_fsm_1(A,C,D,k12_finseq_1(A,B)) = k2_finseq_4(u1_struct_0(C),D,k3_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,D,B))) ) ) ) ) )).
fof(t1_fsm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k2_xcmplx_0(B,C),A) => r1_xxreal_0(B,A) ) ) ) ) )).
fof(t1_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k3_msafree2(k1_ftacell1(A,B,C,D,E)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),k12_gfacirc1(A,B,C)),k2_enumset1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1),k9_gfacirc1(A,B,C))),k2_tarski(k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k1_facirc_1),k12_gfacirc1(k12_gfacirc1(A,B,C),E,D))),k2_enumset1(k4_tarski(k10_finseq_1(k12_gfacirc1(A,B,C),E),k3_facirc_1),k4_tarski(k10_finseq_1(E,D),k3_facirc_1),k4_tarski(k10_finseq_1(D,k12_gfacirc1(A,B,C)),k3_facirc_1),k9_gfacirc1(k12_gfacirc1(A,B,C),E,D))) )).
fof(t1_funcop_1,axiom,( ! [A] : k12_funct_3(A) = k13_funct_3(k6_partfun1(A),k6_partfun1(A)) )).
fof(t1_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ( r2_funct_2(A,k1_numbers,D,k1_funcsdom(A,k1_numbers,k5_funcsdom(A),B,C)) <=> ! [E] : ( m1_subset_1(E,A) => k3_funct_2(A,k1_numbers,D,E) = k3_real_1(k3_funct_2(A,k1_numbers,B,E),k3_funct_2(A,k1_numbers,C,E)) ) ) ) ) ) ) )).
fof(t1_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(k4_tarski(A,B),C) <=> ( r2_hidden(A,k9_xtuple_0(C)) & B = k1_funct_1(C,A) ) ) ) )).
fof(t1_funct_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_funct_1(A) & v1_funct_2(A,k9_xtuple_0(A),k10_xtuple_0(A)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(A),k10_xtuple_0(A)))) ) ) )).
fof(t1_funct_3,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => k4_relat_1(A) = k5_relat_1(k4_relat_1(B),A) ) )).
fof(t1_funct_4,axiom,( ! [A] : ~ ( ! [B] : ~ ( r2_hidden(B,A) & ! [C] : ! [D] : B != k4_tarski(C,D) ) & ! [B] : ! [C] : ~ r1_tarski(A,k2_zfmisc_1(B,C)) ) )).
fof(t1_funct_5,axiom,( k2_funct_4(k1_xboole_0) = k1_xboole_0 )).
fof(t1_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => r1_tarski(k4_card_3(A),k1_funct_2(k9_xtuple_0(A),k3_card_3(A))) ) )).
fof(t1_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r1_tarski(k10_xtuple_0(A),B) => k3_relat_1(A,k6_partfun1(B)) = A ) ) )).
fof(t1_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_funct_8(A,k1_numbers,k1_numbers,B) <=> ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k2_xcmplx_0(k1_funct_1(B,C),k1_funct_1(B,k4_xcmplx_0(C))) = k5_numbers ) ) ) ) ) ) )).
fof(t1_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( v1_funct_9(B,A) <=> ( A != k5_numbers & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k9_xtuple_0(B)) => ( r2_tarski(k2_xcmplx_0(C,A),k9_xtuple_0(B)) & r2_tarski(k6_xcmplx_0(C,A),k9_xtuple_0(B)) & k1_funct_1(B,C) = k1_funct_1(B,k2_xcmplx_0(C,A)) ) ) ) ) ) ) ) )).
fof(t1_functor0,axiom,( ! [A] : ( v1_funct_1(k1_xboole_0) & v1_funct_2(k1_xboole_0,A,k1_xboole_0) & m1_subset_1(k1_xboole_0,k1_zfmisc_1(k2_zfmisc_1(A,k1_xboole_0))) ) )).
fof(t1_functor1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(B)) ) => ( C = D => r1_funct_2(C,A,D,A,k6_funct_3(A,C),k1_partfun1(D,B,B,A,k6_funct_3(B,D),k6_funct_3(A,B))) ) ) ) ) ) )).
fof(t1_functor2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_functor0(A,B,C,D,D,k8_altcat_1(A,D)) = k8_altcat_1(B,k3_functor0(A,B,C,D)) ) ) ) ) )).
fof(t1_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,B,C)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) => ! [H] : ( m1_subset_1(H,k1_altcat_1(A,B,E)) => ! [I] : ( m1_subset_1(I,k1_altcat_1(A,E,D)) => ( ( k5_altcat_1(A,B,C,D,F,G) = k5_altcat_1(A,B,E,D,H,I) & k5_altcat_1(A,C,B,C,k1_altcat_3(A,B,C,F),F) = k8_altcat_1(A,C) & k5_altcat_1(A,E,D,E,I,k1_altcat_3(A,E,D,I)) = k8_altcat_1(A,E) ) => ( k1_altcat_1(A,B,C) = k1_xboole_0 | k1_altcat_1(A,C,B) = k1_xboole_0 | k1_altcat_1(A,C,D) = k1_xboole_0 | k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | k5_altcat_1(A,C,B,E,k1_altcat_3(A,B,C,F),H) = k5_altcat_1(A,C,D,E,G,k1_altcat_3(A,E,D,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_fuznum_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(A,B) & k6_subset_1(k1_numbers,k2_rcomp_1(A,B)) = k1_xboole_0 ) ) ) )).
fof(t1_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v5_relat_1(k7_rfunct_1(A,A),k1_rcomp_1(k5_numbers,1)) & v1_funct_1(k7_rfunct_1(A,A)) & v1_funct_2(k7_rfunct_1(A,A),A,k1_numbers) & m1_subset_1(k7_rfunct_1(A,A),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) )).
fof(t1_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_xxreal_0(k5_numbers,k3_funct_2(A,k1_numbers,C,B)) & r1_xxreal_0(k3_funct_2(A,k1_numbers,C,B),1) ) ) ) ) )).
fof(t1_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v5_xxreal_2(k2_relset_1(k1_numbers,B)) & ! [C] : ( r2_tarski(C,k1_relset_1(A,B)) => r1_xxreal_0(k1_funct_1(B,C),k2_seq_4(k2_relset_1(k1_numbers,B))) ) & ! [C] : ( r2_tarski(C,k1_relset_1(A,B)) => r1_xxreal_0(k3_seq_4(k2_relset_1(k1_numbers,B)),k1_funct_1(B,C)) ) ) ) ) )).
fof(t1_fvaluat1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( A = k2_xxreal_3(A) => A = k5_numbers ) ) )).
fof(t1_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_rlvect_1(A) & l2_algstr_0(A) ) => v1_binop_1(u1_algstr_0(A),u1_struct_0(A)) ) )).
fof(t1_gate_1,axiom,( k1_gate_1(k1_tarski(k1_xboole_0)) = k1_xboole_0 & k1_gate_1(k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(t1_gate_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ! [Q] : ! [R] : ! [S] : ! [T] : ! [U] : ! [V] : ~ ( ~ ( ~ v1_xboole_0(A) & v1_xboole_0(k8_gate_1(k1_gate_1(S),k1_gate_1(R),k1_gate_1(Q))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(S),k1_gate_1(R),k1_gate_1(Q))) & v1_xboole_0(A) ) & ~ ( ~ v1_xboole_0(B) & v1_xboole_0(k8_gate_1(k1_gate_1(S),k1_gate_1(R),Q)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(S),k1_gate_1(R),Q)) & v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(C) & v1_xboole_0(k8_gate_1(k1_gate_1(S),R,k1_gate_1(Q))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(S),R,k1_gate_1(Q))) & v1_xboole_0(C) ) & ~ ( ~ v1_xboole_0(D) & v1_xboole_0(k8_gate_1(k1_gate_1(S),R,Q)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(S),R,Q)) & v1_xboole_0(D) ) & ~ ( ~ v1_xboole_0(E) & v1_xboole_0(k8_gate_1(S,k1_gate_1(R),k1_gate_1(Q))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(S,k1_gate_1(R),k1_gate_1(Q))) & v1_xboole_0(E) ) & ~ ( ~ v1_xboole_0(F) & v1_xboole_0(k8_gate_1(S,k1_gate_1(R),Q)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(S,k1_gate_1(R),Q)) & v1_xboole_0(F) ) & ~ ( ~ v1_xboole_0(G) & v1_xboole_0(k8_gate_1(S,R,k1_gate_1(Q))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(S,R,k1_gate_1(Q))) & v1_xboole_0(G) ) & ~ ( ~ v1_xboole_0(H) & v1_xboole_0(k8_gate_1(S,R,Q)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(S,R,Q)) & v1_xboole_0(H) ) & ~ ( ~ v1_xboole_0(I) & v1_xboole_0(k8_gate_1(k1_gate_1(V),k1_gate_1(U),k1_gate_1(T))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(V),k1_gate_1(U),k1_gate_1(T))) & v1_xboole_0(I) ) & ~ ( ~ v1_xboole_0(J) & v1_xboole_0(k8_gate_1(k1_gate_1(V),k1_gate_1(U),T)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(V),k1_gate_1(U),T)) & v1_xboole_0(J) ) & ~ ( ~ v1_xboole_0(K) & v1_xboole_0(k8_gate_1(k1_gate_1(V),U,k1_gate_1(T))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(V),U,k1_gate_1(T))) & v1_xboole_0(K) ) & ~ ( ~ v1_xboole_0(L) & v1_xboole_0(k8_gate_1(k1_gate_1(V),U,T)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(k1_gate_1(V),U,T)) & v1_xboole_0(L) ) & ~ ( ~ v1_xboole_0(M) & v1_xboole_0(k8_gate_1(V,k1_gate_1(U),k1_gate_1(T))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(V,k1_gate_1(U),k1_gate_1(T))) & v1_xboole_0(M) ) & ~ ( ~ v1_xboole_0(N) & v1_xboole_0(k8_gate_1(V,k1_gate_1(U),T)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(V,k1_gate_1(U),T)) & v1_xboole_0(N) ) & ~ ( ~ v1_xboole_0(O) & v1_xboole_0(k8_gate_1(V,U,k1_gate_1(T))) ) & ~ ( ~ v1_xboole_0(k8_gate_1(V,U,k1_gate_1(T))) & v1_xboole_0(O) ) & ~ ( ~ v1_xboole_0(P) & v1_xboole_0(k8_gate_1(V,U,T)) ) & ~ ( ~ v1_xboole_0(k8_gate_1(V,U,T)) & v1_xboole_0(P) ) & ~ ( ~ v1_xboole_0(T) & v1_xboole_0(k1_gate_1(Q)) ) & ~ ( ~ v1_xboole_0(k1_gate_1(Q)) & v1_xboole_0(T) ) & ~ ( ~ v1_xboole_0(U) & v1_xboole_0(k4_gate_1(Q,R)) ) & ~ ( ~ v1_xboole_0(k4_gate_1(Q,R)) & v1_xboole_0(U) ) & ~ ( ~ v1_xboole_0(V) & v1_xboole_0(k3_gate_1(k2_gate_1(S,k1_gate_1(Q)),k2_gate_1(Q,k4_gate_1(R,S)))) ) & ~ ( ~ v1_xboole_0(k3_gate_1(k2_gate_1(S,k1_gate_1(Q)),k2_gate_1(Q,k4_gate_1(R,S)))) & v1_xboole_0(V) ) & ~ ( ~ ( ~ v1_xboole_0(J) & v1_xboole_0(A) ) & ~ ( ~ v1_xboole_0(A) & v1_xboole_0(J) ) & ~ ( ~ v1_xboole_0(K) & v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(B) & v1_xboole_0(K) ) & ~ ( ~ v1_xboole_0(L) & v1_xboole_0(C) ) & ~ ( ~ v1_xboole_0(C) & v1_xboole_0(L) ) & ~ ( ~ v1_xboole_0(M) & v1_xboole_0(D) ) & ~ ( ~ v1_xboole_0(D) & v1_xboole_0(M) ) & ~ ( ~ v1_xboole_0(N) & v1_xboole_0(E) ) & ~ ( ~ v1_xboole_0(E) & v1_xboole_0(N) ) & ~ ( ~ v1_xboole_0(O) & v1_xboole_0(F) ) & ~ ( ~ v1_xboole_0(F) & v1_xboole_0(O) ) & ~ ( ~ v1_xboole_0(P) & v1_xboole_0(G) ) & ~ ( ~ v1_xboole_0(G) & v1_xboole_0(P) ) & ~ ( ~ v1_xboole_0(I) & v1_xboole_0(H) ) & ~ ( ~ v1_xboole_0(H) & v1_xboole_0(I) ) ) ) )).
fof(t1_gate_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ~ ( ~ ( ~ v1_xboole_0(A) & v1_xboole_0(k2_gate_1(k1_gate_1(J),k1_gate_1(I))) ) & ~ ( ~ v1_xboole_0(k2_gate_1(k1_gate_1(J),k1_gate_1(I))) & v1_xboole_0(A) ) & ~ ( ~ v1_xboole_0(B) & v1_xboole_0(k2_gate_1(k1_gate_1(J),I)) ) & ~ ( ~ v1_xboole_0(k2_gate_1(k1_gate_1(J),I)) & v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(C) & v1_xboole_0(k2_gate_1(J,k1_gate_1(I))) ) & ~ ( ~ v1_xboole_0(k2_gate_1(J,k1_gate_1(I))) & v1_xboole_0(C) ) & ~ ( ~ v1_xboole_0(D) & v1_xboole_0(k2_gate_1(J,I)) ) & ~ ( ~ v1_xboole_0(k2_gate_1(J,I)) & v1_xboole_0(D) ) & ~ ( ~ v1_xboole_0(E) & v1_xboole_0(k2_gate_1(k1_gate_1(L),k1_gate_1(K))) ) & ~ ( ~ v1_xboole_0(k2_gate_1(k1_gate_1(L),k1_gate_1(K))) & v1_xboole_0(E) ) & ~ ( ~ v1_xboole_0(F) & v1_xboole_0(k2_gate_1(k1_gate_1(L),K)) ) & ~ ( ~ v1_xboole_0(k2_gate_1(k1_gate_1(L),K)) & v1_xboole_0(F) ) & ~ ( ~ v1_xboole_0(G) & v1_xboole_0(k2_gate_1(L,k1_gate_1(K))) ) & ~ ( ~ v1_xboole_0(k2_gate_1(L,k1_gate_1(K))) & v1_xboole_0(G) ) & ~ ( ~ v1_xboole_0(H) & v1_xboole_0(k2_gate_1(L,K)) ) & ~ ( ~ v1_xboole_0(k2_gate_1(L,K)) & v1_xboole_0(H) ) & ~ ( ~ v1_xboole_0(K) & v1_xboole_0(k1_gate_1(J)) ) & ~ ( ~ v1_xboole_0(k1_gate_1(J)) & v1_xboole_0(K) ) & ~ ( ~ v1_xboole_0(L) & v1_xboole_0(I) ) & ~ ( ~ v1_xboole_0(I) & v1_xboole_0(L) ) & ~ ( ~ ( ~ v1_xboole_0(F) & v1_xboole_0(A) ) & ~ ( ~ v1_xboole_0(A) & v1_xboole_0(F) ) & ~ ( ~ v1_xboole_0(H) & v1_xboole_0(B) ) & ~ ( ~ v1_xboole_0(B) & v1_xboole_0(H) ) & ~ ( ~ v1_xboole_0(G) & v1_xboole_0(D) ) & ~ ( ~ v1_xboole_0(D) & v1_xboole_0(G) ) & ~ ( ~ v1_xboole_0(E) & v1_xboole_0(C) ) & ~ ( ~ v1_xboole_0(C) & v1_xboole_0(E) ) ) ) )).
fof(t1_gate_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ! [N] : ! [O] : ! [P] : ! [Q] : ! [R] : ! [S] : ! [T] : ! [U] : ! [V] : ! [W] : ! [X] : ! [Y] : ! [Z] : ! [A1] : ! [B1] : ! [C1] : ! [D1] : ! [E1] : ! [F1] : ! [G1] : ! [H1] : ! [I1] : ! [J1] : ! [K1] : ! [L1] : ~ ( ~ v1_xboole_0(M) & ~ ( ~ v1_xboole_0(Z) & v1_xboole_0(k4_gate_1(L1,k2_gate_1(A,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(L1,k2_gate_1(A,Y))) & v1_xboole_0(Z) ) & ~ ( ~ v1_xboole_0(A1) & v1_xboole_0(k4_gate_1(N,k2_gate_1(B,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(N,k2_gate_1(B,Y))) & v1_xboole_0(A1) ) & ~ ( ~ v1_xboole_0(B1) & v1_xboole_0(k4_gate_1(O,k2_gate_1(C,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(O,k2_gate_1(C,Y))) & v1_xboole_0(B1) ) & ~ ( ~ v1_xboole_0(C1) & v1_xboole_0(k4_gate_1(P,k2_gate_1(D,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(P,k2_gate_1(D,Y))) & v1_xboole_0(C1) ) & ~ ( ~ v1_xboole_0(D1) & v1_xboole_0(k4_gate_1(Q,k2_gate_1(E,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(Q,k2_gate_1(E,Y))) & v1_xboole_0(D1) ) & ~ ( ~ v1_xboole_0(E1) & v1_xboole_0(k4_gate_1(R,k2_gate_1(F,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(R,k2_gate_1(F,Y))) & v1_xboole_0(E1) ) & ~ ( ~ v1_xboole_0(F1) & v1_xboole_0(k4_gate_1(S,k2_gate_1(G,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(S,k2_gate_1(G,Y))) & v1_xboole_0(F1) ) & ~ ( ~ v1_xboole_0(G1) & v1_xboole_0(k4_gate_1(T,k2_gate_1(H,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(T,k2_gate_1(H,Y))) & v1_xboole_0(G1) ) & ~ ( ~ v1_xboole_0(H1) & v1_xboole_0(k4_gate_1(U,k2_gate_1(I,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(U,k2_gate_1(I,Y))) & v1_xboole_0(H1) ) & ~ ( ~ v1_xboole_0(I1) & v1_xboole_0(k4_gate_1(V,k2_gate_1(J,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(V,k2_gate_1(J,Y))) & v1_xboole_0(I1) ) & ~ ( ~ v1_xboole_0(J1) & v1_xboole_0(k4_gate_1(W,k2_gate_1(K,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(W,k2_gate_1(K,Y))) & v1_xboole_0(J1) ) & ~ ( ~ v1_xboole_0(K1) & v1_xboole_0(k4_gate_1(X,k2_gate_1(L,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(X,k2_gate_1(L,Y))) & v1_xboole_0(K1) ) & ~ ( ~ ( ~ v1_xboole_0(Y) & v1_xboole_0(k2_gate_1(M,Y)) ) & ~ ( ~ v1_xboole_0(k2_gate_1(M,Y)) & v1_xboole_0(Y) ) & ~ ( ~ v1_xboole_0(X) & v1_xboole_0(k4_gate_1(K1,k2_gate_1(L,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(K1,k2_gate_1(L,Y))) & v1_xboole_0(X) ) & ~ ( ~ v1_xboole_0(W) & v1_xboole_0(k4_gate_1(J1,k2_gate_1(K,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(J1,k2_gate_1(K,Y))) & v1_xboole_0(W) ) & ~ ( ~ v1_xboole_0(V) & v1_xboole_0(k4_gate_1(I1,k2_gate_1(J,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(I1,k2_gate_1(J,Y))) & v1_xboole_0(V) ) & ~ ( ~ v1_xboole_0(U) & v1_xboole_0(k4_gate_1(H1,k2_gate_1(I,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(H1,k2_gate_1(I,Y))) & v1_xboole_0(U) ) & ~ ( ~ v1_xboole_0(T) & v1_xboole_0(k4_gate_1(G1,k2_gate_1(H,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(G1,k2_gate_1(H,Y))) & v1_xboole_0(T) ) & ~ ( ~ v1_xboole_0(S) & v1_xboole_0(k4_gate_1(F1,k2_gate_1(G,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(F1,k2_gate_1(G,Y))) & v1_xboole_0(S) ) & ~ ( ~ v1_xboole_0(R) & v1_xboole_0(k4_gate_1(E1,k2_gate_1(F,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(E1,k2_gate_1(F,Y))) & v1_xboole_0(R) ) & ~ ( ~ v1_xboole_0(Q) & v1_xboole_0(k4_gate_1(D1,k2_gate_1(E,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(D1,k2_gate_1(E,Y))) & v1_xboole_0(Q) ) & ~ ( ~ v1_xboole_0(P) & v1_xboole_0(k4_gate_1(C1,k2_gate_1(D,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(C1,k2_gate_1(D,Y))) & v1_xboole_0(P) ) & ~ ( ~ v1_xboole_0(O) & v1_xboole_0(k4_gate_1(B1,k2_gate_1(C,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(B1,k2_gate_1(C,Y))) & v1_xboole_0(O) ) & ~ ( ~ v1_xboole_0(N) & v1_xboole_0(k4_gate_1(A1,k2_gate_1(B,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(A1,k2_gate_1(B,Y))) & v1_xboole_0(N) ) & ~ ( ~ v1_xboole_0(L1) & v1_xboole_0(k4_gate_1(Z,k2_gate_1(A,Y))) ) & ~ ( ~ v1_xboole_0(k4_gate_1(Z,k2_gate_1(A,Y))) & v1_xboole_0(L1) ) ) ) )).
fof(t1_gate_5,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ! [L] : ! [M] : ~ ( ~ ( ~ v1_xboole_0(I) & v1_xboole_0(k2_gate_1(A,C)) ) & ~ ( ~ v1_xboole_0(k2_gate_1(A,C)) & v1_xboole_0(I) ) & ~ ( ~ v1_xboole_0(J) & v1_xboole_0(k10_gate_1(k2_gate_1(B,C),k2_gate_1(A,D),k1_xboole_0)) ) & ~ ( ~ v1_xboole_0(k10_gate_1(k2_gate_1(B,C),k2_gate_1(A,D),k1_xboole_0)) & v1_xboole_0(J) ) & ~ ( ~ v1_xboole_0(K) & v1_xboole_0(k11_gate_1(k2_gate_1(B,C),k2_gate_1(A,D),k1_xboole_0)) ) & ~ ( ~ v1_xboole_0(k11_gate_1(k2_gate_1(B,C),k2_gate_1(A,D),k1_xboole_0)) & v1_xboole_0(K) ) & ~ ( ~ v1_xboole_0(L) & v1_xboole_0(k10_gate_1(k2_gate_1(B,D),k1_xboole_0,K)) ) & ~ ( ~ v1_xboole_0(k10_gate_1(k2_gate_1(B,D),k1_xboole_0,K)) & v1_xboole_0(L) ) & ~ ( ~ v1_xboole_0(M) & v1_xboole_0(k11_gate_1(k2_gate_1(B,D),k1_xboole_0,K)) ) & ~ ( ~ v1_xboole_0(k11_gate_1(k2_gate_1(B,D),k1_xboole_0,K)) & v1_xboole_0(M) ) & ~ ( ~ v1_xboole_0(E) & v1_xboole_0(I) ) & ~ ( ~ v1_xboole_0(I) & v1_xboole_0(E) ) & ~ ( ~ v1_xboole_0(F) & v1_xboole_0(J) ) & ~ ( ~ v1_xboole_0(J) & v1_xboole_0(F) ) & ~ ( ~ v1_xboole_0(G) & v1_xboole_0(L) ) & ~ ( ~ v1_xboole_0(L) & v1_xboole_0(G) ) & ~ ( ~ v1_xboole_0(H) & v1_xboole_0(M) ) & ~ ( ~ v1_xboole_0(M) & v1_xboole_0(H) ) & ~ ( ~ ( ~ v1_xboole_0(E) & v1_xboole_0(k1_gate_5(A,B,C,D)) ) & ~ ( ~ v1_xboole_0(k1_gate_5(A,B,C,D)) & v1_xboole_0(E) ) & ~ ( ~ v1_xboole_0(F) & v1_xboole_0(k2_gate_5(A,B,C,D)) ) & ~ ( ~ v1_xboole_0(k2_gate_5(A,B,C,D)) & v1_xboole_0(F) ) & ~ ( ~ v1_xboole_0(G) & v1_xboole_0(k3_gate_5(A,B,C,D)) ) & ~ ( ~ v1_xboole_0(k3_gate_5(A,B,C,D)) & v1_xboole_0(G) ) & ~ ( ~ v1_xboole_0(H) & v1_xboole_0(k4_gate_5(A,B,C,D)) ) & ~ ( ~ v1_xboole_0(k4_gate_5(A,B,C,D)) & v1_xboole_0(H) ) ) ) )).
fof(t1_gaussint,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( k2_xcmplx_0(A,B) = 1 & ~ ( A = 1 & B = k5_numbers ) & ~ ( A = k5_numbers & B = 1 ) ) ) ) )).
fof(t1_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( B != k4_struct_0(A) => ( ( k8_group_1(A,B,C) = k8_group_1(A,B,D) => C = D ) & ( k8_group_1(A,C,B) = k8_group_1(A,D,B) => C = D ) ) ) ) ) ) ) )).
fof(t1_genealg1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k3_finseq_1(B)) => k2_rfinseq(A,D,k8_finseq_1(A,B,C)) = k8_finseq_1(A,k2_rfinseq(A,D,B),C) ) ) ) ) ) )).
fof(t1_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ( ~ v7_struct_0(k2_analoaf(A)) & v2_analoaf(k2_analoaf(A)) & l1_analoaf(k2_analoaf(A)) ) ) ) ) ) )).
fof(t1_gfacirc1,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ( k1_funct_1(k1_gfacirc1,k10_binarith(k5_margrel1,A)) = k8_margrel1(A) & k1_funct_1(k1_gfacirc1,k10_binarith(k5_margrel1,A)) = k1_funct_1(k3_twoscomp,k10_finseq_1(A,A)) & k1_funct_1(k1_gfacirc1,k10_binarith(k4_ordinal1,k5_numbers)) = 1 & k1_funct_1(k1_gfacirc1,k10_binarith(k4_ordinal1,1)) = k5_numbers ) ) )).
fof(t1_gfacirc2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v1_funct_1(D) & v1_partfun1(D,k4_ordinal1) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( ( k1_funct_1(C,k5_numbers) = k5_circcomb(k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(D,k5_numbers) = k7_circcomb(k5_ordinal1,k5_margrel1,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1),k1_xboole_0) & k1_funct_1(E,k5_numbers) = k4_tarski(k1_xboole_0,k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( ~ v2_struct_0(G) & l1_msualg_1(G) ) => ! [H] : ( ( v4_msualg_1(H,G) & l3_msualg_1(H,G) ) => ! [I] : ( ( G = k1_funct_1(C,F) & H = k1_funct_1(D,F) & I = k1_funct_1(E,F) ) => ( k1_funct_1(C,k1_nat_1(F,1)) = k2_circcomb(G,k13_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(D,k1_nat_1(F,1)) = k3_circcomb(G,k13_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I),H,k14_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I)) & k1_funct_1(E,k1_nat_1(F,1)) = k9_gfacirc1(k1_funct_1(A,k1_nat_1(F,1)),k1_funct_1(B,k1_nat_1(F,1)),I) ) ) ) ) ) ) => ! [F] : ( v7_ordinal1(F) => ( k1_gfacirc2(F,A,B) = k1_funct_1(C,F) & k2_gfacirc2(F,A,B) = k1_funct_1(D,F) & k3_gfacirc2(F,A,B) = k1_funct_1(E,F) ) ) ) ) ) ) ) ) )).
fof(t1_glib_000,axiom,( k1_glib_000 = 1 & k2_glib_000 = 2 & k3_glib_000 = 3 & k4_glib_000 = 4 )).
fof(t1_glib_001,axiom,( ! [A] : ( ( ~ v1_abian(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_abian(B) & m1_subset_1(B,k4_ordinal1) ) => ( ~ r1_xxreal_0(B,A) <=> r1_xxreal_0(k1_nat_1(A,2),B) ) ) ) )).
fof(t1_glib_003,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ! [J] : ! [K] : ( ( v1_relat_1(K) & v1_funct_1(K) & v1_finseq_1(K) ) => ( K = k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),k9_finseq_1(C)),k9_finseq_1(D)),k9_finseq_1(E)),k9_finseq_1(F)),k9_finseq_1(G)),k9_finseq_1(H)),k9_finseq_1(I)),k9_finseq_1(J)) => ( k3_finseq_1(K) = 10 & k1_funct_1(K,1) = A & k1_funct_1(K,2) = B & k1_funct_1(K,3) = C & k1_funct_1(K,4) = D & k1_funct_1(K,5) = E & k1_funct_1(K,6) = F & k1_funct_1(K,7) = G & k1_funct_1(K,8) = H & k1_funct_1(K,9) = I & k1_funct_1(K,10) = J ) ) ) )).
fof(t1_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k13_pre_poly(k1_funct_4(A,B)),k2_xboole_0(k13_pre_poly(A),k13_pre_poly(B))) ) ) )).
fof(t1_glib_005,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k7_glib_000(A)) & v1_funct_1(B) & v1_partfun1(B,k7_glib_000(A)) & v4_valued_0(B) ) => ! [C] : ( m3_glib_001(C,A) => ( v3_glib_001(C,A) => r5_glib_005(A,B,C) ) ) ) ) )).
fof(t1_goboard1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( ( r2_tarski(B,k4_finseq_1(A)) & r1_xxreal_0(2,k3_finseq_1(A)) ) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k3_topreal1(2,A)) ) ) ) )).
fof(t1_goboard2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) ) => ( r1_xxreal_0(C,k1_nat_1(B,1)) | r1_xboole_0(k2_topreal1(2,A,B),k2_topreal1(2,A,C)) ) ) ) ) => v3_topreal1(A) ) ) )).
fof(t1_goboard3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ~ ( ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(A)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) ) ) ) ) ) & v2_funct_1(A) & v2_topreal1(A) & v3_topreal1(A) & v1_topreal1(A) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & v2_funct_1(C) & v2_topreal1(C) & v3_topreal1(C) & v1_topreal1(C) & k3_topreal1(2,A) = k3_topreal1(2,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k7_partfun1(u1_struct_0(k15_euclid(2)),C,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) = k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)) & r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(C)) ) ) ) ) ) )).
fof(t1_goboard4,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(1,k3_finseq_1(B)) & r1_xxreal_0(1,k3_finseq_1(C)) & r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) & r1_goboard1(u1_struct_0(k15_euclid(2)),C,A) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,1),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,1))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_matrix_0(A)))) & r1_xboole_0(k10_xtuple_0(B),k10_xtuple_0(C)) ) ) ) ) )).
fof(t1_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v2_goboard1(C) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) ) => k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B)) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,1,B)) ) ) ) ) )).
fof(t1_goboard6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => r2_tarski(B,k8_metric_1(A,B,C)) ) ) ) ) )).
fof(t1_goboard7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(B,C)),A) & r1_xxreal_0(C,k2_xcmplx_0(B,A)) & r1_xxreal_0(B,k2_xcmplx_0(C,A)) ) ) ) ) )).
fof(t1_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,2),k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_nat_1(D,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_nat_1(D,2)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),D) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_nat_1(D,2)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_nat_1(D,1))),k7_xcmplx_0(1,2)),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,k1_nat_1(D,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(C,1),k1_nat_1(D,2))),k7_xcmplx_0(1,2))),k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t1_goboard9,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r3_connsp_1(A,D,B) & r3_connsp_1(A,D,C) & B != C & ~ r1_xboole_0(B,C) ) ) ) ) ) )).
fof(t1_gobrd10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_gobrd10(A,B) => r1_gobrd10(k1_nat_1(A,1),k1_nat_1(B,1)) ) ) ) )).
fof(t1_gobrd11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r2_tarski(C,B) & v2_connsp_1(B,A) ) => r1_tarski(B,k1_connsp_1(A,C)) ) ) ) ) )).
fof(t1_gobrd12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(B,k3_finseq_1(k2_goboard2(A))) & r1_xxreal_0(C,k1_matrix_0(k2_goboard2(A))) ) => r1_tarski(k1_tops_1(k15_euclid(2),k3_goboard5(k2_goboard2(A),B,C)),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A))) ) ) ) ) )).
fof(t1_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(2))) => ~ ( C = k16_euclid(2) & r2_jordan2c(2,k3_topreal1(2,A),B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k3_subset_1(u1_struct_0(k14_euclid(2)),k8_metric_1(k14_euclid(2),C,D)),B) ) ) ) ) ) ) )).
fof(t1_goedcpuc,axiom,( ! [A] : ( m1_qc_lang1(A) => ? [B] : ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ~ r2_hidden(k4_tarski(B,k1_domain_1(k3_qc_lang1(A),k3_cqc_lang(A),D,C)),k1_qc_lang1(A)) ) ) ) )).
fof(t1_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( ( v1_henmodel(C,A) & m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) ) => ( v1_goedelcp(C,A) => ( r1_henmodel(A,C,B) <=> ~ r1_henmodel(A,C,k6_cqc_lang(A,B)) ) ) ) ) ) )).
fof(t1_gr_cy_1,axiom,( ! [A] : ( m1_subset_1(A,k4_numbers) => ( A = k5_numbers => r3_binop_1(k4_numbers,A,k20_binop_2) ) ) )).
fof(t1_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( ~ r1_xxreal_0(k6_group_1(A,B),1) & B = k5_group_1(A,C,D) & D = k5_numbers ) ) ) ) ) )).
fof(t1_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_nat_d(C,k3_xcmplx_0(A,B)) & C != 1 & C != A & C != B & C != k3_xcmplx_0(A,B) ) ) ) ) )).
fof(t1_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ( k1_relset_1(u4_struct_0(A),u1_graph_1(A)) = u4_struct_0(A) & k1_relset_1(u4_struct_0(A),u2_graph_1(A)) = u4_struct_0(A) ) ) )).
fof(t1_graph_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_nat_1(A,1),B) & r1_xxreal_0(B,C) ) <=> ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(A,D) & ~ r1_xxreal_0(C,D) & B = k1_nat_1(D,1) ) ) ) ) ) )).
fof(t1_graph_3,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( ( v1_abian(A) <=> v1_abian(B) ) <=> v1_abian(k6_xcmplx_0(A,B)) ) ) ) )).
fof(t1_graph_3a,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_graph_3a)) => ( A = k5_numbers => k10_graph_1(k5_graph_3a,A) = 3 ) ) )).
fof(t1_graph_4,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_graph_4(B,C,D,A) => r2_graph_1(B,C,D,A) ) ) ) ) )).
fof(t1_graph_5,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ~ ( r1_tarski(k10_xtuple_0(B),k10_xtuple_0(C)) & r2_tarski(A,k9_xtuple_0(B)) & ! [D] : ~ ( r2_hidden(D,k9_xtuple_0(C)) & k1_funct_1(B,A) = k1_funct_1(C,D) ) ) ) ) )).
fof(t1_graphsp,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( ~ r2_tarski(B,k10_xtuple_0(A)) & v2_funct_1(A) ) <=> v2_funct_1(k7_finseq_1(A,k9_finseq_1(B))) ) ) )).
fof(t1_grcat_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( r2_hidden(k3_xtuple_0(B,C,D),A) & r2_hidden(k6_xtuple_0(B,C,D,E),A) ) ) ) ) ) ) )).
fof(t1_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r1_tarski(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(t1_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_3(A,B,C) = k6_algstr_0(A,B,k2_group_5(A,B,C)) ) ) ) )).
fof(t1_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ~ ( r4_polyred(A,B,C,D,E,F) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(G,A,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => F != k7_polynom1(A,C,D,k10_polynom1(A,C,G,E)) ) ) ) ) ) ) ) ) )).
fof(t1_groeb_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(B)) => ( r1_xxreal_0(D,C) | k1_funct_1(B,D) = k4_struct_0(A) ) ) ) => k4_rlvect_1(A,B) = k4_rlvect_1(A,k17_finseq_1(u1_struct_0(A),C,B)) ) ) ) ) )).
fof(t1_groeb_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => k1_groeb_2(A,k11_pre_poly(A,B,C),C) = B ) ) )).
fof(t1_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k6_algstr_0(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,B,k6_algstr_0(A,C,D)) ) ) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,C,B) = C & k6_algstr_0(A,B,C) = C & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k6_algstr_0(A,C,D) = B & k6_algstr_0(A,D,C) = B ) ) ) ) | ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) ) ) ) )).
fof(t1_group_10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ~ ( r1_ordinal1(k4_card_1(A),k1_card_1(B)) & v1_xboole_0(k3_group_10(B,A)) ) ) ) )).
fof(t1_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_group_2(A,k13_group_2(A,B,C),k13_group_2(A,B,D)) = k13_group_2(A,B,k6_algstr_0(A,C,D)) ) ) ) ) )).
fof(t1_group_12,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_group_7(A,B,C))) => ( ( k9_xtuple_0(D) = A & k1_funct_1(D,C) = E & ! [F] : ( m1_subset_1(F,A) => ( F != C => k1_funct_1(D,F) = k1_group_1(k1_group_7(A,B,F)) ) ) ) <=> D = k1_funct_7(k1_group_1(k2_group_7(A,B)),C,E) ) ) ) ) ) ) )).
fof(t1_group_17,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r1_xboole_0(A,B) & r1_tarski(C,A) & r1_tarski(D,B) & k2_xboole_0(C,D) = k2_xboole_0(A,B) ) => ( C = A & D = B ) ) )).
fof(t1_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & k6_group_1(A,B) = k2_seq_4(k1_group_18(A)) ) ) )).
fof(t1_group_19,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( r2_hidden(C,A) => ( ~ v2_struct_0(k1_funct_1(B,C)) & v2_group_1(k1_funct_1(B,C)) & v3_group_1(k1_funct_1(B,C)) & l3_algstr_0(k1_funct_1(B,C)) ) ) ) )).
fof(t1_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v8_struct_0(A) => v1_finset_1(B) ) ) ) )).
fof(t1_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,k6_algstr_0(A,B,C),k2_group_1(A,C)) = B & k6_algstr_0(A,k6_algstr_0(A,B,k2_group_1(A,C)),C) = B & k6_algstr_0(A,k6_algstr_0(A,k2_group_1(A,C),C),B) = B & k6_algstr_0(A,k6_algstr_0(A,C,k2_group_1(A,C)),B) = B & k6_algstr_0(A,B,k6_algstr_0(A,C,k2_group_1(A,C))) = B & k6_algstr_0(A,B,k6_algstr_0(A,k2_group_1(A,C),C)) = B & k6_algstr_0(A,k2_group_1(A,C),k6_algstr_0(A,C,B)) = B & k6_algstr_0(A,C,k6_algstr_0(A,k2_group_1(A,C),B)) = B ) ) ) ) )).
fof(t1_group_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_group_2(D,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ( C = E => k5_group_1(B,C,A) = k5_group_1(D,E,A) ) ) ) ) ) ) )).
fof(t1_group_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( r1_struct_0(k6_group_2(B),A) <=> A = k1_group_1(B) ) ) )).
fof(t1_group_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v2_funct_1(C) <=> ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ( k3_funct_2(A,B,C,D) = k3_funct_2(A,B,C,E) => D = E ) ) ) ) ) ) ) )).
fof(t1_group_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,B) & v1_funct_1(F) & v1_partfun1(F,B) & v1_group_7(F) ) => ! [G] : ( ( ~ v2_struct_0(G) & l3_algstr_0(G) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_group_7(B,F))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_group_7(B,F))) => ! [J] : ( m1_subset_1(J,u1_struct_0(G)) => ! [K] : ( m1_subset_1(K,u1_struct_0(G)) => ( ( r2_tarski(A,B) & G = k1_funct_1(F,A) & C = H & D = I & E = k6_algstr_0(k2_group_7(B,F),H,I) & k1_funct_1(C,A) = J & k1_funct_1(D,A) = K ) => k6_algstr_0(G,J,K) = k1_funct_1(E,A) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_group_8,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ~ ( v1_int_2(A) & k7_group_1(B) = A & ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k6_group_1(B,C) != A ) ) ) ) )).
fof(t1_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( r1_struct_0(C,D) => r1_struct_0(B,D) ) ) ) )).
fof(t1_groupp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( ! [C] : ( v7_ordinal1(C) => A != k1_newton(B,C) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( v1_int_2(C) & r1_int_1(C,A) & C != B ) ) ) ) ) )).
fof(t1_grsolv_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ( ( v1_group_3(C,D) & m1_group_6(C,A,D) ) => ( v1_group_3(k10_group_2(A,C,B),k10_group_2(A,D,B)) & m1_group_6(k10_group_2(A,C,B),A,k10_group_2(A,D,B)) ) ) ) ) ) ) )).
fof(t1_gtarski1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( l1_metric_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( g1_metric_1(u1_struct_0(A),u1_metric_1(A)) = g1_metric_1(u1_struct_0(B),u1_metric_1(B)) & C = E & D = F ) => k1_metric_1(A,C,D) = k1_metric_1(B,E,F) ) ) ) ) ) ) ) )).
fof(t1_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => r1_tarski(u1_struct_0(B),u1_struct_0(k1_rlsub_2(A,B,C))) ) ) ) )).
fof(t1_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v1_finset_1(B) => k1_nat_1(k4_card_1(k2_xboole_0(A,B)),k4_card_1(k3_xboole_0(A,B))) = k1_nat_1(k4_card_1(A),k4_card_1(B)) ) ) )).
fof(t1_hausdorf,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & k4_xxreal_0(A,B) = k5_numbers ) => A = k5_numbers ) ) ) )).
fof(t1_heine,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_topmetr(C,k7_metric_1) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( ( A = D & B = E ) => k3_metric_1(C,D,E) = k9_complex1(k6_xcmplx_0(A,B)) ) ) ) ) ) ) )).
fof(t1_helly,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k3_graph_2(k9_finseq_1(k1_funct_1(A,1)),A) = A ) )).
fof(t1_henmodel,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k4_ordinal1)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k2_relset_1(B,C) = B & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k1_relset_1(A,C)) & r2_tarski(D,k1_relset_1(A,C)) ) => ( r1_xxreal_0(E,D) | r2_tarski(k1_funct_1(C,D),k1_funct_1(C,E)) ) ) ) ) ) => ( ! [D] : ( v7_ordinal1(D) => k1_ordinal1(D) != A ) | k1_funct_1(C,k3_tarski(A)) = k3_tarski(k2_relset_1(B,C)) ) ) ) ) ) )).
fof(t1_hermitan,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( A = k8_complex1(A) => k4_complex1(A) = k5_numbers ) ) )).
fof(t1_hessenbe,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_collsp(A,B,C,D) => ( r1_collsp(A,C,D,B) & r1_collsp(A,D,B,C) & r1_collsp(A,C,B,D) & r1_collsp(A,B,D,C) & r1_collsp(A,D,C,B) ) ) ) ) ) ) )).
fof(t1_heyting1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ! [E] : ( m1_subset_1(E,A) => r2_tarski(k3_funct_2(A,B,D,E),C) ) => ( v1_funct_1(D) & v1_funct_2(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) ) ) ) ) ) )).
fof(t1_heyting2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( r2_tarski(D,k1_substlat(A,B)) & r2_tarski(C,D) ) => ( v1_relat_1(C) & v1_funct_1(C) & v1_finset_1(C) ) ) )).
fof(t1_heyting3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => ? [B] : ( m1_subset_1(B,k4_ordinal1) & r1_tarski(A,k1_finsub_1(k1_zfmisc_1(k4_ordinal1),k2_finseq_1(B),k6_domain_1(k4_ordinal1,k5_numbers))) ) ) )).
fof(t1_hfdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_relset_1(k1_numbers,k5_relset_1(k1_numbers,k1_numbers,B,A)) = A ) ) )).
fof(t1_hilbasis,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ~ ( r1_tarski(k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)),k9_xtuple_0(C)) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( D = k3_relat_1(A,C) & E = k3_relat_1(B,C) & k3_relat_1(k7_finseq_1(A,B),C) = k7_finseq_1(D,E) ) ) ) ) ) ) ) )).
fof(t1_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => r2_tarski(k2_hilbert1,k5_hilbert1(A)) ) )).
fof(t1_hilbert2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ! [C] : ( r2_tarski(C,A) => ( v1_relat_1(k1_funct_1(B,C)) & v4_relat_1(k1_funct_1(B,C),C) & v1_funct_1(k1_funct_1(B,C)) & v1_partfun1(k1_funct_1(B,C),C) ) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( C = k3_card_3(B) => k9_xtuple_0(C) = k3_tarski(A) ) ) ) ) )).
fof(t1_hilbert3,axiom,( ! [A] : ( v1_int_1(A) => ( v1_abian(A) <=> ~ v1_abian(k6_xcmplx_0(A,1)) ) ) )).
fof(t1_hilbert4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) ) => ( k2_funct_1(A) = k2_funct_1(B) => A = B ) ) ) )).
fof(t1_holder_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & ? [C] : ( v1_xreal_0(C) & r1_xxreal_0(k5_numbers,C) & k3_xcmplx_0(k2_power(C,A),k2_power(C,B)) != k2_power(C,k2_xcmplx_0(A,B)) ) ) ) ) )).
fof(t1_homothet,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( ( r1_aff_1(A,D,B,C) & r1_aff_1(A,D,B,I) & r1_aff_1(A,D,B,J) & r1_aff_1(A,D,E,F) & r1_aff_1(A,D,E,G) & r1_aff_1(A,D,E,H) & r2_analoaf(A,B,E,C,F) & r2_analoaf(A,B,G,C,H) & r2_analoaf(A,I,E,J,F) & v4_aff_2(A) ) => ( r1_aff_1(A,D,B,E) | E = G | D = G | D = I | r2_analoaf(A,I,G,J,H) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ( A = k1_tarski(B) => k9_huffman1(A) = k6_huffman1(B) ) ) ) )).
fof(t1_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => k4_algstr_0(A,k9_algstr_0(A,B)) = k9_algstr_0(A,k4_algstr_0(A,B)) ) ) ) )).
fof(t1_hurwitz2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( ( k4_complex1(A) = k5_ordinal1 & k3_complex1(B) = k5_ordinal1 ) => k3_complex1(k7_xcmplx_0(A,B)) = k5_ordinal1 ) ) ) )).
fof(t1_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( v1_int_2(B) & ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(B,C) & A != k5_numbers & ! [D] : ( v7_ordinal1(D) => ~ ( k4_nat_d(k3_xcmplx_0(D,A),B) = C & ~ r1_xxreal_0(B,D) ) ) ) ) ) ) )).
fof(t1_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_algstr_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_rlvect_1(A,k2_finseq_4(u1_struct_0(A),B,C)) = k1_algstr_0(A,B,C) ) ) ) )).
fof(t1_incproj,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_incproj(B,A) <=> m1_subset_1(B,k1_incproj(A)) ) ) )).
fof(t1_incsp_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),C,D),B) <=> ( r1_incsp_1(A,C,B) & r1_incsp_1(A,D,B) ) ) ) ) ) ) )).
fof(t1_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k3_graph_1(A,C) = k4_graph_1(A,B) => k1_cat_1(A,B,C) = k4_tarski(k7_cat_2(A,A,k3_graph_1(A,B),k4_graph_1(A,C)),k1_partfun1(u4_struct_0(k5_cat_5(A,B)),u4_struct_0(k6_cat_5(A,B)),u4_struct_0(k5_cat_5(A,C)),u4_struct_0(k6_cat_5(A,C)),k1_index_1(A,B),k1_index_1(A,C))) ) ) ) ) )).
fof(t1_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msaterm(D,A,C,k2_msaterm(A,C,B)) <=> m1_subset_1(D,k3_msualg_1(A,B,k11_msafree(A,C))) ) ) ) ) )).
fof(t1_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ( A = B | A = k4_xcmplx_0(B) ) => v1_int_1(A) ) ) ) )).
fof(t1_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(A,B) & r1_int_1(A,k2_xcmplx_0(B,C)) ) => r1_int_1(A,C) ) ) ) ) )).
fof(t1_int_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_int_3)) => k3_funct_2(u1_struct_0(k1_int_3),k4_ordinal1,k3_int_3,A) = k2_int_3(A) ) )).
fof(t1_int_4,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( v1_xreal_0(B) => r3_tarski(A,k1_measure6(A,B)) ) ) )).
fof(t1_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(A,B) & r1_int_1(A,C) ) => r1_int_1(A,k6_xcmplx_0(B,C)) ) ) ) ) )).
fof(t1_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => k3_finseq_1(k1_valued_1(A,B)) = k4_nat_1(k3_finseq_1(A),k3_finseq_1(B)) ) ) )).
fof(t1_int_7,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ( k13_pre_poly(C) = k1_tarski(A) => r6_pboole(B,C,k1_funct_7(k8_funcop_1(k4_ordinal1,B,k5_numbers),A,k1_funct_1(C,A))) ) ) )).
fof(t1_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => r1_tarski(k1_int_8(A),k2_finseq_1(A)) ) )).
fof(t1_integr10,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,A) & ~ r1_xxreal_0(B,E) & ~ r1_xxreal_0(C,k3_xcmplx_0(k6_xcmplx_0(B,E),D)) ) ) ) ) ) ) ) )).
fof(t1_integr11,axiom,( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4))),k1_numbers) & ! [A] : ( v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k7_xcmplx_0(1,2),k5_numbers),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(2,k5_numbers),k16_sin_cos),k7_xcmplx_0(1,4))),k1_numbers),A) = k1_square_1(k1_funct_1(k16_sin_cos,A)) ) )).
fof(t1_integr12,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(A,D) = 1 ) ) & r2_relset_1(k1_numbers,k1_numbers,B,k1_taylor_1(2)) ) => ( r2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)),C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B)),C),D) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(2,D),k1_square_1(k2_xcmplx_0(1,k1_newton(D,2))))) ) ) ) ) ) ) ) )).
fof(t1_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k6_rfunct_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k18_sin_cos))) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k3_taylor_1))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k3_taylor_1),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k3_taylor_1),k3_seq_4(A))) ) ) ) ) )).
fof(t1_integr14,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_fdiff_9))) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_fdiff_9)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A)),k1_fdiff_9)),A),B) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,k7_xcmplx_0(1,B)),k3_xcmplx_0(k1_square_1(B),k1_square_1(k1_funct_1(k18_sin_cos,k7_xcmplx_0(1,B))))) ) ) ) ) ) )).
fof(t1_integr15,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( m1_integra1(C,A) => ! [D] : ( m1_integr15(D,A,B,C) => ( v2_seq_2(k2_partfun1(A,k1_numbers,B,A)) => r1_xxreal_0(k7_integra1(A,B,C),k1_integr15(A,B,C,D)) ) ) ) ) ) )).
fof(t1_integr16,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xreal_0(B) => ( k3_complex1(k3_xcmplx_0(B,A)) = k3_xcmplx_0(B,k3_complex1(A)) & k4_complex1(k3_xcmplx_0(B,A)) = k3_xcmplx_0(B,k4_complex1(A)) ) ) ) )).
fof(t1_integr18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & D = k1_binom(A,B,C) ) => k4_rlvect_1(A,D) = k3_rlvect_1(A,k4_rlvect_1(A,B),k4_rlvect_1(A,C)) ) ) ) ) ) )).
fof(t1_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(C,B) ) => ( r2_hidden(C,k3_integra5(A,B)) & r1_tarski(k3_integra5(A,C),k3_integra5(A,B)) & r1_tarski(k3_integra5(C,B),k3_integra5(A,B)) ) ) ) ) ) )).
fof(t1_integr1c,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_integr1c(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( ( r1_tarski(k2_relset_1(k2_numbers,C),k1_relset_1(k2_numbers,A)) & r1_tarski(k2_relset_1(k2_numbers,C),k1_relset_1(k2_numbers,B)) & r1_integr1c(A,C) & r1_integr1c(B,C) & r2_integr1c(A,C) & r2_integr1c(B,C) ) => k3_integr1c(k2_valued_1(k2_numbers,k2_numbers,k2_numbers,A,B),C) = k2_xcmplx_0(k3_integr1c(A,C),k3_integr1c(B,C)) ) ) ) ) )).
fof(t1_integr20,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( v1_integr20(k2_partfun1(k1_numbers,u1_struct_0(B),C,A),B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( r2_hidden(F,k1_relset_1(A,k2_partfun1(k1_numbers,u1_struct_0(B),C,A))) & r2_hidden(G,k1_relset_1(A,k2_partfun1(k1_numbers,u1_struct_0(B),C,A))) & ~ r1_xxreal_0(E,k9_complex1(k6_xcmplx_0(F,G))) & r1_xxreal_0(D,k2_normsp_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,F),k7_partfun1(u1_struct_0(B),C,G)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_integr21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( v1_integr19(C,A,k1_numbers) & r1_tarski(B,k1_relset_1(k1_numbers,C)) ) => v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(A),C,B),A,k1_numbers) ) ) ) ) )).
fof(t1_integra2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) <=> ( r1_xxreal_0(k3_seq_4(A),B) & r1_xxreal_0(B,k2_seq_4(A)) ) ) ) ) )).
fof(t1_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( m1_integra1(C,A) => ( r1_integra1(B,C) => r1_xxreal_0(k1_integra3(A,C),k1_integra3(A,B)) ) ) ) ) )).
fof(t1_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ( k3_integra1(A) = k5_numbers => k3_finseq_1(B) = 1 ) ) ) )).
fof(t1_integra5,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ( B = k7_finseq_1(k9_finseq_1(D),A) | B = k7_finseq_1(A,k9_finseq_1(D)) ) & ( C = k7_finseq_1(k9_finseq_1(E),A) | C = k7_finseq_1(A,k9_finseq_1(E)) ) & k18_rvsum_1(k8_rvsum_1(B,C)) != k6_xcmplx_0(D,E) ) ) ) ) ) ) )).
fof(t1_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & k2_xcmplx_0(A,C) = k2_xcmplx_0(B,D) ) => ( A = B & C = D ) ) ) ) ) ) )).
fof(t1_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( v4_xxreal_2(k1_rvsum_1(C)) & v4_xxreal_2(k1_rvsum_1(D)) & ! [E] : ( r2_tarski(E,B) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),k1_funct_1(D,E))),A) ) ) => ( r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(C)),k2_seq_4(k1_rvsum_1(D))),A) & r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(D)),k2_seq_4(k1_rvsum_1(C))),A) ) ) ) ) ) ) )).
fof(t1_integra8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k17_sin_cos(k2_xcmplx_0(A,k3_xcmplx_0(k2_nat_1(2,B),k28_sin_cos))) = k17_sin_cos(A) ) ) )).
fof(t1_integra9,axiom,( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(1),k5_numbers),k22_sin_cos)),k1_numbers) & ! [A] : ( v1_xreal_0(A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k4_xcmplx_0(1),k5_numbers),k22_sin_cos)),k1_numbers),A) = k23_sin_cos(k4_xcmplx_0(A)) ) )).
fof(t1_interva1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( r2_tarski(D,k1_interva1(A,B,C)) <=> ( r1_tarski(B,D) & r1_tarski(D,C) ) ) ) ) )).
fof(t1_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1)) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(B,k3_intpro_1(C,B)),k7_intpro_1(A)) ) ) ) )).
fof(t1_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( v1_int_2(A) & v1_rat_1(k3_square_1(A)) ) ) )).
fof(t1_isocat_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k9_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => r2_funct_2(A,k9_funct_2(B,C),k11_funct_5(A,B,C,k1_isocat_2(A,B,C,D)),D) ) ) ) ) )).
fof(t1_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k9_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,B))),k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,C)))) = k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,k9_subset_1(u1_struct_0(A),B,C)))) ) ) ) )).
fof(t1_jct_misc,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(A,k1_rcomp_1(C,D)) & r2_hidden(B,k1_rcomp_1(C,D)) ) => r2_tarski(k7_xcmplx_0(k2_xcmplx_0(A,B),2),k1_rcomp_1(C,D)) ) ) ) ) ) )).
fof(t1_jgraph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & m2_graph_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( ( v1_graph_4(B,A) & r3_graph_4(A,C,B) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(E,k3_finseq_1(C)) & k1_funct_1(C,D) = k1_funct_1(C,E) ) => ( r1_xxreal_0(E,D) | ( D = 1 & E = k3_finseq_1(C) ) ) ) ) ) ) ) ) ) )).
fof(t1_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(A))) => ~ ( m1_pre_topc(B,A) & m1_pre_topc(C,A) & G = k2_struct_0(B) & H = k2_struct_0(C) & k2_xboole_0(k2_struct_0(B),k2_struct_0(C)) = k2_struct_0(A) & v4_pre_topc(G,A) & v4_pre_topc(H,A) & v5_pre_topc(E,B,D) & v5_pre_topc(F,C,D) & ! [I] : ( r2_hidden(I,k9_subset_1(u1_struct_0(C),k2_struct_0(B),k2_struct_0(C))) => k1_funct_1(E,I) = k1_funct_1(F,I) ) & ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(A),u1_struct_0(D)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(D)))) ) => ~ ( I = k1_funct_4(E,F) & v5_pre_topc(I,A,D) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( k12_euclid(A) = k3_square_1(k2_xcmplx_0(k1_square_1(k17_euclid(A)),k1_square_1(k18_euclid(A)))) & k1_square_1(k12_euclid(A)) = k2_xcmplx_0(k1_square_1(k17_euclid(A)),k1_square_1(k18_euclid(A))) ) ) )).
fof(t1_jgraph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v1_xreal_0(D) => ( ( v5_pre_topc(B,A,k3_topmetr) & C = a_3_0_jgraph_4(A,B,D) ) => v3_pre_topc(C,A) ) ) ) ) ) )).
fof(t1_jgraph_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(k12_euclid(A),1) => ( r1_xxreal_0(k4_xcmplx_0(1),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),1) & r1_xxreal_0(k4_xcmplx_0(1),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),1) ) ) ) )).
fof(t1_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(B,C) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),k19_euclid(A,B),k19_euclid(A,C))) ) => ( k17_euclid(D) = A & r1_xxreal_0(B,k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),C) ) ) ) ) ) ) )).
fof(t1_jgraph_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( k18_euclid(D) = C & r1_xxreal_0(A,k17_euclid(D)) & r1_xxreal_0(k17_euclid(D),B) ) => ( r1_xxreal_0(B,A) | r2_tarski(D,k1_rltopsp1(k15_euclid(2),k19_euclid(A,C),k19_euclid(B,C))) ) ) ) ) ) ) )).
fof(t1_jgraph_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_xxreal_0(B) & v1_xreal_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))) & v5_pre_topc(C,k17_borsuk_1,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A))))) ) => ? [D] : ( m2_finseq_1(D,k1_numbers) & k1_funct_1(D,1) = k5_numbers & k1_funct_1(D,k3_finseq_1(D)) = 1 & r1_xxreal_0(5,k3_finseq_1(D)) & r1_tarski(k2_relset_1(k1_numbers,D),u1_struct_0(k17_borsuk_1)) & v5_valued_0(D) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k17_borsuk_1))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) => ~ ( r1_xxreal_0(1,E) & ~ r1_xxreal_0(k3_finseq_1(D),E) & F = k1_rcomp_1(k7_partfun1(k1_numbers,D,E),k7_partfun1(k1_numbers,D,k1_nat_1(E,1))) & G = k7_relset_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k15_euclid(A)),C,F) & r1_xxreal_0(B,k2_tbsp_1(k14_euclid(A),G)) ) ) ) ) ) ) ) ) )).
fof(t1_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ~ ( B != C & k1_rlvect_1(k15_euclid(A),k3_rlvect_1(k15_euclid(A),B,C),k7_xcmplx_0(1,2)) = B ) ) ) ) )).
fof(t1_jordan1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k17_borsuk_1),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(A)))) & v5_pre_topc(D,k17_borsuk_1,A) & B = k1_funct_1(D,k5_numbers) & C = k1_funct_1(D,1) ) ) ) => v1_connsp_1(A) ) ) )).
fof(t1_jordan10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v2_connsp_1(E,k15_euclid(2)) & v2_compts_1(E,k15_euclid(2)) & ~ v1_sppol_1(E) & ~ v2_sppol_1(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k1_jordan9(E,D))) & r2_hidden(k4_tarski(A,B),k2_matrix_0(k1_jordan8(E,D))) & r2_hidden(k4_tarski(A,k1_nat_1(B,1)),k2_matrix_0(k1_jordan8(E,D))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(E,D),C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,D),A,B) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(E,D),k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(E,D),A,k1_nat_1(B,1)) & r1_xxreal_0(k3_finseq_1(k1_jordan8(E,D)),A) ) ) ) ) ) ) )).
fof(t1_jordan11,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(1,k1_jordan11(A)) ) )).
fof(t1_jordan12,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(k7_nat_d(A,1),k5_numbers) ) ) )).
fof(t1_jordan14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( k1_jordan2c(2,k3_topreal1(2,A)) = k3_goboard9(A) | k1_jordan2c(2,k3_topreal1(2,A)) = k2_goboard9(A) ) ) )).
fof(t1_jordan15,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( ~ r1_xboole_0(A,B) & r1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,A),k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k4_pscomp_1,B)) ) ) ) )).
fof(t1_jordan16,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k9_jordan6(A) != k8_jordan6(A) ) )).
fof(t1_jordan17,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ~ ( r2_hidden(B,E) & r1_topreal1(k15_euclid(A),C,D,E) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(A),E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k1_pre_topc(k15_euclid(A),E))))) ) => ! [G] : ( v1_xreal_0(G) => ~ ( v3_tops_2(F,k17_borsuk_1,k1_pre_topc(k15_euclid(A),E)) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) & k1_funct_1(F,G) = B ) ) ) ) ) ) ) ) ) )).
fof(t1_jordan18,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_square_1(k6_xcmplx_0(A,B)) = k1_square_1(k6_xcmplx_0(B,A)) ) ) )).
fof(t1_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => ( A = k5_numbers | r1_xxreal_0(k7_xcmplx_0(k1_nat_1(B,1),B),k7_xcmplx_0(k1_nat_1(A,1),A)) ) ) ) ) )).
fof(t1_jordan1a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( ~ v1_abian(k3_finseq_1(A)) => k3_finseq_1(A) = k6_xcmplx_0(k3_xcmplx_0(2,k1_jordan1a(A)),1) ) ) )).
fof(t1_jordan1b,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( v1_xboole_0(A) <=> v1_xboole_0(k3_finseq_5(A)) ) ) )).
fof(t1_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_hidden(k4_tarski(B,C),k2_matrix_0(k1_jordan8(A,D))) & r2_hidden(k4_tarski(k2_xcmplx_0(B,1),C),k2_matrix_0(k1_jordan8(A,D))) ) => k1_topreal6(2,k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),1,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),2,1)) = k6_xcmplx_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),k2_xcmplx_0(B,1),C)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,D),B,C))) ) ) ) ) ) )).
fof(t1_jordan1d,axiom,( ! [A] : ! [B] : ( ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ~ ( r1_tarski(D,B) & r1_tarski(C,k3_tarski(D)) ) ) => r1_tarski(k3_tarski(A),k3_tarski(B)) ) )).
fof(t1_jordan1e,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_sprect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r2_tarski(C,k10_xtuple_0(A)) => r1_sprect_2(B,k1_finseq_5(u1_struct_0(k15_euclid(2)),A,C)) ) ) ) ) ) )).
fof(t1_jordan1f,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),D,E) & ~ r1_xboole_0(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C)),k3_topreal1(2,D)) & r2_hidden(k4_tarski(A,B),k2_matrix_0(E)) & r2_hidden(k4_tarski(A,C),k2_matrix_0(E)) & r1_xxreal_0(B,C) & ! [F] : ( v7_ordinal1(F) => ~ ( r1_xxreal_0(B,F) & r1_xxreal_0(F,C) & k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,F)) = k3_seq_4(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C)),k3_topreal1(2,D)))) ) ) ) ) ) ) ) ) )).
fof(t1_jordan1g,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_zfmisc_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ~ ( ~ v1_xboole_0(A) & ! [B] : A != k9_finseq_1(B) ) ) )).
fof(t1_jordan1h,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( A != B => r2_tarski(A,k2_pre_topc(k15_euclid(2),k7_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),A,B),k2_tarski(A,B)))) ) ) ) )).
fof(t1_jordan1i,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ r1_xxreal_0(k4_finseq_4(k1_jordan9(B,A),k18_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))),1) ) ) )).
fof(t1_jordan1j,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_matrix_0(A)) & r1_xxreal_0(1,B) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(C,k3_finseq_1(A)) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,E)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,D))) ) ) ) ) ) ) )).
fof(t1_jordan1k,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v2_funct_2(C,B) => ! [D] : ( m1_subset_1(D,B) => ? [E] : ( r2_hidden(E,A) & D = k1_funct_1(C,E) ) ) ) ) ) )).
fof(t1_jordan20,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) ) => k5_jordan6(A,B,C,D,D) = k1_tarski(D) ) ) ) ) ) )).
fof(t1_jordan21,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => v9_rltopsp1(k6_domain_1(u1_struct_0(k15_euclid(A)),B),k15_euclid(A)) ) ) )).
fof(t1_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(2))),k1_jordan19(A),B),k2_pre_topc(k15_euclid(2),k3_goboard9(k1_jordan9(A,k5_numbers)))) ) ) )).
fof(t1_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) => r1_xxreal_0(1,k3_finseq_1(k2_jordan3(A,B))) ) ) ) )).
fof(t1_jordan24,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & r1_jordan24(2,A,B,C) ) ) ) )).
fof(t1_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v7_ordinal1(B) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)),u1_struct_0(k3_topmetr)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => k3_funct_2(u1_struct_0(k15_euclid(B)),u1_struct_0(k3_topmetr),C,D) = k7_partfun1(k1_numbers,D,A) ) ) ) ) )).
fof(t1_jordan3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ( r1_xxreal_0(2,k3_finseq_1(B)) => ( r2_tarski(k1_funct_1(B,1),k3_topreal1(A,B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)),B,1),k3_topreal1(A,B)) & r2_tarski(k1_funct_1(B,k3_finseq_1(B)),k3_topreal1(A,B)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)),B,k3_finseq_1(B)),k3_topreal1(A,B)) ) ) ) ) )).
fof(t1_jordan4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,B) & ~ r1_xxreal_0(k2_xcmplx_0(B,B),A) & k4_nat_d(A,B) = k5_numbers ) ) ) )).
fof(t1_jordan5a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r1_topreal1(k15_euclid(A),B,C,D) => v2_compts_1(D,k15_euclid(A)) ) ) ) ) ) )).
fof(t1_jordan5b,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k7_nat_d(A,1)) ) ) )).
fof(t1_jordan5c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [G] : ( v1_xreal_0(G) => ( ( r2_tarski(E,A) & k1_funct_1(F,G) = E & v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) & ! [H] : ( v1_xreal_0(H) => ~ ( r1_xxreal_0(k5_numbers,H) & ~ r1_xxreal_0(G,H) & r2_tarski(k1_funct_1(F,H),B) ) ) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ! [I] : ( v1_xreal_0(I) => ( ( v3_tops_2(H,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(H,k5_numbers) = C & k1_funct_1(H,1) = D & k1_funct_1(H,I) = E & r1_xxreal_0(k5_numbers,I) & r1_xxreal_0(I,1) ) => ! [J] : ( v1_xreal_0(J) => ~ ( r1_xxreal_0(k5_numbers,J) & ~ r1_xxreal_0(I,J) & r2_tarski(k1_funct_1(H,J),B) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_jordan5d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ( r1_xxreal_0(2,k3_finseq_1(B)) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(A)),B,k3_finseq_1(B)),k2_topreal1(A,B,k7_nat_d(k3_finseq_1(B),1))) ) ) ) )).
fof(t1_jordan6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(B,A) => ( r1_xxreal_0(B,k7_xcmplx_0(k2_xcmplx_0(B,A),2)) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(B,A),2),A) ) ) ) ) )).
fof(t1_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( v1_topreal2(A) => ( r2_tarski(k18_pscomp_1(A),k9_jordan6(A)) & r2_tarski(k22_pscomp_1(A),k9_jordan6(A)) & r2_tarski(k18_pscomp_1(A),k8_jordan6(A)) & r2_tarski(k22_pscomp_1(A),k8_jordan6(A)) ) ) ) )).
fof(t1_jordan8,axiom,( ! [A] : ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => r1_goboard1(A,k6_finseq_1(A),B) ) )).
fof(t1_jordan9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_connsp_1(B,A) & r3_connsp_1(A,E,C) & r3_connsp_1(A,E,D) & r1_tarski(B,E) ) => ( r1_xboole_0(B,C) | r1_xboole_0(B,D) | C = D ) ) ) ) ) ) ) )).
fof(t1_jordan_a,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_pscomp_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( ( v2_compts_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_rcomp_1(k7_relset_1(u1_struct_0(A),k1_numbers,B,C)) ) ) ) )).
fof(t1_knaster,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( C = k2_xboole_0(A,B) & r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) ) => ( v2_funct_1(C) <=> ( v2_funct_1(A) & v2_funct_1(B) & r1_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) ) ) ) ) )).
fof(t1_kolmog01,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ~ ( r1_tarski(B,k9_xtuple_0(A)) & B != k1_xboole_0 & k10_xtuple_0(k5_relat_1(A,B)) = k1_xboole_0 ) ) )).
fof(t1_kurato_0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => r1_tarski(k3_funct_6(A),k1_funct_1(A,B)) ) ) )).
fof(t1_kurato_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))))))) = k2_pre_topc(A,k3_subset_1(u1_struct_0(A),k2_pre_topc(A,B))) ) ) )).
fof(t1_kurato_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(A))) => ! [C] : ( v1_xreal_0(C) => ( v3_pre_topc(k8_metric_1(k14_euclid(A),B,C),k15_euclid(A)) & m1_subset_1(k8_metric_1(k14_euclid(A),B,C),k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) ) ) ) )).
fof(t1_l_hospit,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ( r1_fcont_1(A,B) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,C) & ~ r1_xxreal_0(D,B) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(B,E) & r2_hidden(E,k1_relset_1(k1_numbers,A)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,B) & r2_hidden(F,k1_relset_1(k1_numbers,A)) ) ) ) ) ) ) ) => r1_limfunc3(A,B) ) ) ) )).
fof(t1_lagra4sq,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => k2_nat_1(k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(A),k1_pepin(B)),k1_pepin(C)),k1_pepin(D)),k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(E),k1_pepin(F)),k1_pepin(G)),k1_pepin(H))) = k1_nat_1(k1_nat_1(k1_nat_1(k1_pepin(k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,E),k3_xcmplx_0(B,F)),k3_xcmplx_0(C,G)),k3_xcmplx_0(D,H))),k1_pepin(k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,F),k3_xcmplx_0(B,E)),k3_xcmplx_0(C,H)),k3_xcmplx_0(D,G)))),k1_pepin(k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(A,G),k3_xcmplx_0(B,H)),k3_xcmplx_0(C,E)),k3_xcmplx_0(D,F)))),k1_pepin(k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,H),k3_xcmplx_0(B,G)),k3_xcmplx_0(C,F)),k3_xcmplx_0(D,E)))) ) ) ) ) ) ) ) ) )).
fof(t1_lang1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_lang1(A) ) => k2_xboole_0(k1_lang1(A),k2_lang1(A)) = u1_struct_0(A) ) )).
fof(t1_laplace,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => k3_finseq_1(k2_finseq_3(B,A)) = k7_nat_d(k3_finseq_1(A),1) ) ) ) )).
fof(t1_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => u1_struct_0(k10_group_2(A,B,C)) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) ) ) ) )).
fof(t1_latsum_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( r2_tarski(A,k2_xboole_0(C,D)) & r2_tarski(B,k2_xboole_0(C,D)) & ~ ( r2_tarski(A,k6_subset_1(C,D)) & r2_tarski(B,k6_subset_1(C,D)) ) & ~ ( r2_tarski(A,D) & r2_tarski(B,D) ) & ~ ( r2_tarski(A,k6_subset_1(C,D)) & r2_tarski(B,D) ) & ~ ( r2_tarski(A,D) & r2_tarski(B,k6_subset_1(C,D)) ) ) )).
fof(t1_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v1_relat_2(B) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_hidden(k4_tarski(C,C),B) ) ) ) ) )).
fof(t1_lattice2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => k9_xtuple_0(k2_partfun1(A,B,D,C)) = C ) ) ) )).
fof(t1_lattice3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k1_lattice3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_lattice3(A))) => ( k1_lattices(k1_lattice3(A),B,C) = k2_xboole_0(B,C) & k2_lattices(k1_lattice3(A),B,C) = k3_xboole_0(B,C) ) ) ) )).
fof(t1_lattice4,axiom,( ! [A] : ~ ( A != k1_xboole_0 & ! [B] : ~ ( B != k1_xboole_0 & r1_tarski(B,A) & v6_ordinal1(B) & ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ( r2_tarski(D,B) => r1_tarski(D,C) ) ) ) & ! [B] : ~ ( r2_tarski(B,A) & ! [C] : ~ ( r2_tarski(C,A) & C != B & r1_tarski(B,C) ) ) ) )).
fof(t1_lattice5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) ) => ( A = k3_tarski(k10_xtuple_0(B)) => k9_xtuple_0(A) = k3_tarski(k10_xtuple_0(k1_funct_6(B))) ) ) ) )).
fof(t1_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v1_lattice6(A) <=> v2_lattice6(k1_lattice2(A)) ) ) )).
fof(t1_lattice7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => m1_lattice7(k7_domain_1(u1_struct_0(A),B,C),A,B,C) ) ) ) ) )).
fof(t1_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => r1_ordinal1(k1_ordinal1(k1_xboole_0),k7_lattice5(A,B,C)) ) ) ) )).
fof(t1_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v15_lattices(A) & l3_lattices(A) ) => k6_lattices(A) != k5_lattices(A) ) )).
fof(t1_lexbfs,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ( v2_funct_1(D) => k1_card_1(a_4_0_lexbfs(A,B,C,D)) = k1_nat_1(B,1) ) ) ) ) ) )).
fof(t1_lfuzzy_0,axiom,( ! [A] : ( v3_membered(A) => ? [B] : ( v1_orders_2(B) & l1_orders_2(B) & u1_struct_0(B) = A & v1_lfuzzy_0(B) ) ) )).
fof(t1_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ! [D] : ( m1_subset_1(D,A) => k7_lfuzzy_0(A,B,D) = k7_lfuzzy_0(A,C,D) ) => r2_relset_1(A,k1_numbers,B,C) ) ) ) ) )).
fof(t1_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v7_valued_0(A) => v2_seq_2(A) ) & ( v8_valued_0(A) => v1_seq_2(A) ) ) ) )).
fof(t1_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( v2_comseq_2(B) & ~ r1_xxreal_0(k1_seq_2(B),A) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & r1_xxreal_0(k1_funct_1(B,D),A) ) ) ) ) ) )).
fof(t1_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(k10_xtuple_0(B),k9_subset_1(k1_numbers,k9_xtuple_0(C),k10_prob_1(A))) | r1_tarski(k10_xtuple_0(B),k9_subset_1(k1_numbers,k9_xtuple_0(C),k3_limfunc1(A))) ) => r1_tarski(k10_xtuple_0(B),k6_subset_1(k9_xtuple_0(C),k1_tarski(A))) ) ) ) ) )).
fof(t1_limfunc4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( r1_tarski(k10_xtuple_0(C),k8_subset_1(k1_numbers,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,B)),D)) => ( r1_tarski(k10_xtuple_0(C),k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,A,B))) & r1_tarski(k10_xtuple_0(C),D) & r1_tarski(k10_xtuple_0(C),k1_relset_1(k1_numbers,A)) & r1_tarski(k10_xtuple_0(C),k8_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),D)) & r1_tarski(k10_xtuple_0(k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,C,A)),k1_relset_1(k1_numbers,B)) ) ) ) ) ) )).
fof(t1_lmod_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_tarski(C,D) & v1_vectsp_7(D,A,B) ) => v1_vectsp_7(C,A,B) ) ) ) ) ) )).
fof(t1_lmod_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & l1_vectsp_1(D,B) ) => ( C = g1_vectsp_1(B,u1_struct_0(D),u1_algstr_0(D),u2_struct_0(D),u1_vectsp_1(B,D)) => ( r1_struct_0(C,A) <=> r1_struct_0(D,A) ) ) ) ) ) )).
fof(t1_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( ~ v7_struct_0(A) & v1_vectsp_7(C,A,B) & r2_tarski(k4_struct_0(B),C) ) ) ) ) )).
fof(t1_lopban_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( m2_funct_2(C,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [D] : ( m2_funct_2(D,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ! [E] : ( m2_funct_2(E,A,u1_struct_0(B),k9_funct_2(A,u1_struct_0(B))) => ( r2_funct_2(A,u1_struct_0(B),E,k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D)) <=> ! [F] : ( m1_subset_1(F,A) => k3_funct_2(A,u1_struct_0(B),E,F) = k1_algstr_0(B,k3_funct_2(A,u1_struct_0(B),C,F),k3_funct_2(A,u1_struct_0(B),D,F)) ) ) ) ) ) ) ) )).
fof(t1_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(D,A,B) & v1_lopban_1(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(E,B,C) & v1_lopban_1(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v1_funct_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E)) & v1_funct_2(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),u1_struct_0(A),u1_struct_0(C)) & v13_vectsp_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) & v1_lopban_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) & m1_subset_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) ) ) ) ) ) )).
fof(t1_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,B,C) = k4_struct_0(A) ) => ! [C] : ( v7_ordinal1(C) => k1_normsp_0(A,k1_bhsp_4(A,B),C) = k4_struct_0(A) ) ) ) ) )).
fof(t1_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_normsp_1(B,A) & v3_normsp_1(C,A) & k5_normsp_1(A,k2_normsp_1(A,B,C)) = k4_struct_0(A) ) => k5_normsp_1(A,B) = k5_normsp_1(A,C) ) ) ) ) )).
fof(t1_lopban_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,A) & ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(B,k2_xcmplx_0(1,C)),A) & ~ r1_xxreal_0(B,k7_xcmplx_0(B,k2_xcmplx_0(1,C))) ) ) ) ) ) )).
fof(t1_lopban_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_funct_2(C,u1_struct_0(A),u1_struct_0(B)) => ( v1_funct_1(k2_funct_1(C)) & v1_funct_2(k2_funct_1(C),u1_struct_0(B),u1_struct_0(A)) & v13_vectsp_1(k2_funct_1(C),B,A) & v1_lopban_1(k2_funct_1(C),B,A) & m1_subset_1(k2_funct_1(C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) & k10_xtuple_0(k2_funct_1(C)) = u1_struct_0(A) ) ) ) ) ) )).
fof(t1_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k1_lopclset(A)) => v3_pre_topc(B,A) ) ) ) )).
fof(t1_lp_space,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,k5_numbers) & r1_xxreal_0(k2_power(B,C),k2_power(A,C)) ) ) ) ) )).
fof(t1_lpspacc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) <=> ( v1_ideal_1(B,A) & v1_lpspacc1(B,A) ) ) ) ) )).
fof(t1_lpspace1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlsub_1(B,A) <=> ( v1_ideal_1(B,A) & v1_lpspace1(B,A) ) ) ) ) )).
fof(t1_lpspace2,axiom,( ! [A] : ( ( v2_xxreal_0(A) & v1_xreal_0(A) ) => ! [B] : ( ( v2_xxreal_0(B) & v1_xreal_0(B) ) => ~ ( k3_supinf_2(k2_extreal1(1,A),k2_extreal1(1,B)) = 1 & r1_xxreal_0(A,1) ) ) ) )).
fof(t1_ltlaxio1,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k6_xboolean(k6_xboolean(A,k4_xboolean(B,C)),k6_xboolean(A,B)) = 1 ) ) ) )).
fof(t1_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ~ ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k3_finseq_1(k16_finseq_1(A,B)),k5_numbers) ) ) ) )).
fof(t1_ltlaxio3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) => k2_rfinseq(A,C,B) = k7_finseq_1(k9_finseq_1(k1_funct_1(B,k1_nat_1(C,1))),k2_rfinseq(A,k1_nat_1(C,1),B)) ) ) ) ) )).
fof(t1_ltlaxio4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_finseq_2(B,A) ) => ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & r2_tarski(C,B) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( r2_tarski(D,B) => r1_xxreal_0(k3_finseq_1(D),k3_finseq_1(C)) ) ) ) ) )).
fof(t1_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,B,C),k8_cqc_lang(A,k8_cqc_lang(A,C,D),k8_cqc_lang(A,B,D))),k4_cqc_the1(A)) ) ) ) ) )).
fof(t1_margrel1,axiom,( ! [A] : ! [B] : ( ( v3_finseq_1(B) & v2_card_3(B) ) => ( r1_tarski(A,B) => ( v3_finseq_1(A) & v2_card_3(A) ) ) ) )).
fof(t1_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_mathmorp(A,k2_mathmorp(A,B)) = B ) ) )).
fof(t1_matrix10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_vectsp_1)) => ! [B] : ( v1_xreal_0(B) => ( A = B => k4_algstr_0(k2_vectsp_1,A) = k4_xcmplx_0(B) ) ) ) )).
fof(t1_matrix11,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( r2_tarski(A,k2_sgraph1(k2_finseq_1(B))) <=> ? [C] : ( v7_ordinal1(C) & ? [D] : ( v7_ordinal1(D) & r2_tarski(C,k2_finseq_1(B)) & r2_tarski(D,k2_finseq_1(B)) & ~ r1_xxreal_0(D,C) & A = k2_tarski(C,D) ) ) ) ) )).
fof(t1_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(C),A,B) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(C),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => k1_matrix_0(D) = k1_matrix_0(E) ) ) ) ) ) )).
fof(t1_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,A,C,B) & m2_finseq_1(D,k3_finseq_2(A)) ) => ( ( C = k5_numbers => B = k5_numbers ) <=> ( k3_finseq_1(D) = C & k1_matrix_0(D) = B ) ) ) ) ) ) )).
fof(t1_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => m2_finseq_2(B,u1_struct_0(A),k4_finseq_2(k3_finseq_1(B),u1_struct_0(A))) ) ) )).
fof(t1_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( k1_matrix_0(C) = k3_finseq_1(D) => k4_matrix_3(A,k6_matrix_3(A,C,B),D) = k6_matrix_3(A,k4_matrix_3(A,C,D),B) ) ) ) ) ) )).
fof(t1_matrix16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k9_fvsum_1(A,B,k1_group_1(A)) = B ) ) )).
fof(t1_matrix17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v12_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(A),B,B) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(A))) ) => ( ( r2_hidden(k4_tarski(C,D),k2_matrix_0(G)) & k2_xcmplx_0(C,D) = k2_xcmplx_0(B,1) & E = k6_xcmplx_0(k2_xcmplx_0(B,1),D) & F = k6_xcmplx_0(k2_xcmplx_0(B,1),C) & v2_matrix17(G,A,B) ) => k3_matrix_0(u1_struct_0(A),G,C,D) = k4_struct_0(A) ) ) ) ) ) ) ) ) )).
fof(t1_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => v1_matrix_0(k12_finseq_1(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A)),k12_finseq_1(A,B))) ) ) )).
fof(t1_matrix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & l6_algstr_0(D) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(k2_matrix_1(D,C))) => k3_matrix_0(u1_struct_0(D),k2_matrix_1(D,C),A,B) = k4_struct_0(D) ) ) ) ) ) )).
fof(t1_matrix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(k1_matrix_3(C,A,B))) => k3_matrix_0(u1_struct_0(C),k1_matrix_3(C,A,B),D,E) = k4_struct_0(C) ) ) ) ) ) ) )).
fof(t1_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => k2_matrix_3(A,k2_matrix_3(A,B)) = B ) ) )).
fof(t1_matrix_5,axiom,( 1 = k1_group_1(k1_complfld) )).
fof(t1_matrix_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => k4_matrix_3(A,k1_matrix_3(A,k3_finseq_1(B),k3_finseq_1(B)),B) = k1_matrix_3(A,k3_finseq_1(B),k1_matrix_0(B)) ) ) )).
fof(t1_matrix_7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_finseq_1(2),k2_finseq_1(2)) & v3_funct_2(A,k2_finseq_1(2),k2_finseq_1(2)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(2),k2_finseq_1(2)))) ) => ( A = k10_finseq_1(1,2) | A = k10_finseq_1(2,1) ) ) )).
fof(t1_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ( v1_matrix_8(k3_matrix_1(B,A),A,B) & v3_matrix_8(k3_matrix_1(B,A),A,B) ) ) ) )).
fof(t1_matrix_9,axiom,( ! [A] : ! [B] : ( r2_tarski(A,B) => r2_tarski(k1_tarski(A),k5_finsub_1(B)) ) )).
fof(t1_matrixc1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_matrix_0(C) ) => ( r2_hidden(k4_tarski(A,B),k2_matrix_0(C)) <=> ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) ) ) ) ) ) )).
fof(t1_matrixj1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ( k3_finseq_1(B) = k3_finseq_1(C) => k8_finseq_1(u1_struct_0(A),k3_fvsum_1(A,B,C),k3_fvsum_1(A,D,E)) = k3_fvsum_1(A,k8_finseq_1(u1_struct_0(A),B,D),k8_finseq_1(u1_struct_0(A),C,E)) ) ) ) ) ) ) )).
fof(t1_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k13_matrix_3(A,B,k2_matrixj2(B,C,A)) = k5_finseq_2(u1_struct_0(B),A,C) ) ) ) )).
fof(t1_matrixr1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_vectsp_1)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_vectsp_1)) => ( ( A = C & B = D ) => k2_xcmplx_0(A,B) = k3_rlvect_1(k2_vectsp_1,C,D) ) ) ) ) ) )).
fof(t1_matrixr2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k4_rvsum_1(A,B) = k5_euclid(k3_finseq_1(A)) ) => ( A = k6_rvsum_1(B) & B = k6_rvsum_1(A) ) ) ) ) )).
fof(t1_matrlin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k3_finseq_1(B) = k1_nat_1(A,1) => k3_finseq_1(k2_finseq_3(k1_nat_1(A,1),B)) = A ) ) ) )).
fof(t1_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ! [F] : ( m1_vectsp_4(F,A,E) => ! [G] : ( m1_vectsp_4(G,A,E) => ( ( F = C & G = D ) => ( k2_vectsp_5(A,B,C,D) = k2_vectsp_5(A,E,F,G) & k1_vectsp_5(A,B,C,D) = k1_vectsp_5(A,E,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t1_matroid0,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & v1_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( r1_tarski(C,B) => ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) )).
fof(t1_matrprob,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ! [D] : ( m2_finseq_1(D,A) => ( ( k3_finseq_1(D) = C & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => k1_funct_1(D,E) = B ) ) ) <=> D = k5_finseq_2(A,C,B) ) ) ) ) ) )).
fof(t1_matrtop1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => k3_fvsum_1(k2_vectsp_1,k1_matrtop1(A),k1_matrtop1(B)) = k4_rvsum_1(A,B) ) ) )).
fof(t1_matrtop2,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ( m1_vectsp_6(A,k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B)) <=> m1_rlvect_2(A,k15_euclid(B)) ) ) )).
fof(t1_matrtop3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)))) ) => ( k12_matrix_3(A,B,k4_matrix_0(u1_struct_0(B),k4_matrix11(A,A,u1_struct_0(B),D,k4_matrix_0(u1_struct_0(B),k4_matrix11(A,A,u1_struct_0(B),D,C))))) = k12_matrix_3(A,B,C) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) => k3_matrix_0(u1_struct_0(B),k4_matrix_0(u1_struct_0(B),k4_matrix11(A,A,u1_struct_0(B),D,k4_matrix_0(u1_struct_0(B),k4_matrix11(A,A,u1_struct_0(B),D,C)))),E,F) = k3_matrix_0(u1_struct_0(B),C,k1_funct_1(D,E),k1_funct_1(D,F)) ) ) ) ) ) ) ) ) )).
fof(t1_mazurulm,axiom,( v1_tops_1(k2_urysohn1,k5_topmetr) & m1_subset_1(k2_urysohn1,k1_zfmisc_1(u1_struct_0(k5_topmetr))) )).
fof(t1_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,B,k1_mboolean(A,C)) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r1_pboole(A,D,B) <=> r2_pboole(A,D,C) ) ) ) ) ) )).
fof(t1_measure1,axiom,( ! [A] : ! [B] : k3_tarski(k1_enumset1(A,B,k1_xboole_0)) = k3_tarski(k2_tarski(A,B)) )).
fof(t1_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => v6_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C)) ) ) ) )).
fof(t1_measure3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_xxreal_0(k12_supinf_2(k16_supinf_2(A),C),k12_supinf_2(k16_supinf_2(B),C)) ) => r1_xxreal_0(k17_supinf_2(A),k17_supinf_2(B)) ) ) ) )).
fof(t1_measure4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => k8_nat_1(B,D,F) = k8_subset_1(A,E,k8_nat_1(B,C,F)) ) => k3_tarski(k2_relset_1(B,D)) = k8_subset_1(A,E,k3_tarski(k2_relset_1(B,C))) ) ) ) ) ) )).
fof(t1_measure5,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ~ ( ~ v1_measure5(A) & ~ v2_measure5(A) & ~ v3_measure5(A) & ~ v4_measure5(A) ) ) )).
fof(t1_measure6,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_zfmisc_1(k4_ordinal1,k4_ordinal1)))) & v2_funct_1(A) & k1_relset_1(k4_ordinal1,A) = k4_ordinal1 & k11_funcop_1(k4_ordinal1,k4_ordinal1,k4_ordinal1,A) = k2_zfmisc_1(k4_ordinal1,k4_ordinal1) ) )).
fof(t1_measure7,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => k12_supinf_2(A,B) = k1_supinf_2 ) => k17_supinf_2(A) = k1_supinf_2 ) ) )).
fof(t1_measure8,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => r2_funct_2(k4_ordinal1,k6_numbers,k16_supinf_2(A),k1_mesfunc9(A)) ) )).
fof(t1_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ( r2_hidden(B,A) <=> r2_hidden(k2_xxreal_3(B),k4_member_1(A)) ) ) ) )).
fof(t1_membered,axiom,( ! [A] : ( v1_membered(A) => r1_tarski(A,k2_numbers) ) )).
fof(t1_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( v13_struct_0(B,1) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( k5_memstr_0(A,B,C) = k5_memstr_0(A,B,D) => C = D ) ) ) ) ) )).
fof(t1_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( k17_euclid(k3_rlvect_1(k15_euclid(2),A,B)) = k2_xcmplx_0(k17_euclid(A),k17_euclid(B)) & k18_euclid(k3_rlvect_1(k15_euclid(2),A,B)) = k2_xcmplx_0(k18_euclid(A),k18_euclid(B)) ) ) ) )).
fof(t1_mesfun10,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(k12_supinf_2(A,C),k12_supinf_2(B,C)) ) => r1_xxreal_0(k7_supinf_2(k15_supinf_2(A)),k7_supinf_2(k15_supinf_2(B))) ) ) ) )).
fof(t1_mesfun6c,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(A,B) = k2_xcmplx_0(A,B) & k4_xcmplx_0(A) = k4_xcmplx_0(A) & k6_xcmplx_0(A,B) = k6_xcmplx_0(A,B) & k3_xcmplx_0(A,B) = k3_xcmplx_0(A,B) ) ) ) )).
fof(t1_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => r1_funct_2(k4_ordinal1,k1_numbers,k4_ordinal1,k6_numbers,k10_seqfunc(A,B,C),k3_mesfunc5(A,k1_mesfun7c(A,B),C)) ) ) ) )).
fof(t1_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( r2_tarski(C,D) & v2_comseq_2(k10_seqfunc(A,B,C)) ) => v2_comseq_2(k10_seqfunc(A,k1_mesfun9c(A,k1_numbers,B,D),C)) ) ) ) ) )).
fof(t1_mesfunc1,axiom,( r3_tarski(k4_ordinal1,k1_mesfunc1) )).
fof(t1_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => r2_relset_1(A,k6_numbers,B,k6_mesfunc1(A,B,1)) ) ) )).
fof(t1_mesfunc3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)),k1_numbers))) ) => ! [D] : ( m2_finseq_1(D,k1_numbers) => ! [E] : ( m2_finseq_1(E,k1_numbers) => ( ( k4_finseq_1(D) = k2_finseq_1(A) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(D)) & ! [G] : ( m2_finseq_1(G,k1_numbers) => ~ ( k4_finseq_1(G) = k2_finseq_1(B) & k12_supinf_2(D,F) = k18_rvsum_1(G) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k12_supinf_2(G,H) = k1_funct_1(C,k4_tarski(F,H)) ) ) ) ) ) ) & k4_finseq_1(E) = k2_finseq_1(B) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m2_finseq_1(G,k1_numbers) => ~ ( k4_finseq_1(G) = k2_finseq_1(A) & k12_supinf_2(E,F) = k18_rvsum_1(G) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => k12_supinf_2(G,H) = k1_funct_1(C,k4_tarski(H,F)) ) ) ) ) ) ) ) => k18_rvsum_1(D) = k18_rvsum_1(E) ) ) ) ) ) ) )).
fof(t1_mesfunc4,axiom,( ! [A] : ( m2_finseq_1(A,k6_numbers) => ! [B] : ( m2_finseq_1(B,k6_numbers) => ! [C] : ( m2_finseq_1(C,k6_numbers) => ( ( v6_supinf_2(A) & v6_supinf_2(B) & k4_finseq_1(A) = k4_finseq_1(B) & C = k3_mesfunc1(k4_ordinal1,A,B) ) => k4_extreal1(C) = k3_supinf_2(k4_extreal1(A),k4_extreal1(B)) ) ) ) ) )).
fof(t1_mesfunc5,axiom,( ! [A] : ( m1_subset_1(A,k6_numbers) => ! [B] : ( m1_subset_1(B,k6_numbers) => k3_extreal1(k4_supinf_2(A,B)) = k3_extreal1(k4_supinf_2(B,A)) ) ) )).
fof(t1_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_relset_1(A,k6_numbers,k9_mesfunc1(A,k1_mesfunc5(A,B)),k1_mesfunc5(A,k56_valued_1(A,k1_numbers,B))) ) ) )).
fof(t1_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,B)) => r1_xxreal_0(k12_supinf_2(B,D),k12_supinf_2(C,D)) ) ) => v6_supinf_2(k4_mesfunc1(A,C,B)) ) ) ) ) )).
fof(t1_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [E] : ( v7_ordinal1(E) => m2_subset_1(a_4_0_mesfunc8(A,B,D,E),k1_zfmisc_1(A),B) ) ) ) ) ) )).
fof(t1_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v4_mesfunc5(B) & v4_mesfunc5(C) ) => k1_relset_1(A,k3_mesfunc1(A,B,C)) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) ) ) ) ) )).
fof(t1_metric_1,axiom,( ! [A] : ( l1_metric_1(A) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_metric_1(A,B,B) = k5_numbers ) <=> v6_metric_1(A) ) ) )).
fof(t1_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_metric_2(A,B,C) & r3_metric_2(A,C,D) ) => r3_metric_2(A,B,D) ) ) ) ) ) )).
fof(t1_metric_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))) => ( k2_binop_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k1_numbers,k1_metric_3(A,B),C,D) = k5_numbers <=> C = D ) ) ) ) ) )).
fof(t1_metric_6,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k3_metric_1(A,B,D),k3_metric_1(A,C,D))),k3_metric_1(A,B,C)) ) ) ) ) )).
fof(t1_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r1_borsuk_3(A,B) <=> r1_metrizts(A,B,k2_struct_0(A),k2_struct_0(B)) ) ) ) )).
fof(t1_mfold_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( ~ r1_xxreal_0(D,k5_numbers) => ! [F] : ( m1_connsp_2(F,B,C) => ~ ( r1_borsuk_3(k1_pre_topc(B,F),k1_mfold_1(A,E,D)) & ! [G] : ( m1_connsp_2(G,B,C) => ~ ( r1_tarski(G,k1_tops_1(B,F)) & r1_borsuk_3(k1_pre_topc(B,G),k2_brouwer(A,E,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_mfold_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => r2_borsuk_3(A,k1_pre_topc(A,k2_struct_0(A))) ) )).
fof(t1_mfold_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : k9_xtuple_0(k6_relat_1(B,A)) = k8_relat_1(A,B) ) )).
fof(t1_midsp_1,axiom,( u1_struct_0(k2_midsp_1) = k1_tarski(k1_xboole_0) )).
fof(t1_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_midsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ( v1_midsp_2(D,B,A) => k1_midsp_1(B,C,C) = C ) ) ) ) ) )).
fof(t1_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_finseq_1(D,C) => ~ ( k3_finseq_1(D) = k2_xcmplx_0(k1_nat_1(A,1),B) & ! [E] : ( m2_finseq_1(E,C) => ! [F] : ( m2_finseq_1(F,C) => ! [G] : ( m1_subset_1(G,C) => ~ ( k3_finseq_1(E) = A & k3_finseq_1(F) = B & D = k8_finseq_1(C,k8_finseq_1(C,E,k12_finseq_1(C,G)),F) ) ) ) ) ) ) ) ) ) )).
fof(t1_mmlquer2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r1_tarski(k1_relat_1(B),A) ) )).
fof(t1_mmlquery,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_tarski(A,B) <=> ! [C] : r1_tarski(k9_relat_1(A,C),k9_relat_1(B,C)) ) ) ) )).
fof(t1_mod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_mod_2(A))) => B = k4_struct_0(k1_mod_2(A)) ) ) )).
fof(t1_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => k4_struct_0(A) != k4_algstr_0(A,k5_struct_0(A)) ) )).
fof(t1_mod_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,B) => k2_binop_1(A,B,C,D,E,F) = k2_binop_1(B,A,C,k1_mod_4(A,B,C,D),F,E) ) ) ) ) ) ) )).
fof(t1_modal_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ~ ( A != B & r3_xboole_0(k14_trees_3(A),k8_finseq_1(k4_ordinal1,k14_trees_3(B),C)) ) ) ) ) )).
fof(t1_modcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v2_mod_2(B,A) & v3_mod_2(B,A) & l1_mod_2(B,A) ) => m3_modcat_1(k1_tarski(B),A) ) ) )).
fof(t1_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) <=> r2_tarski(A,k12_modelc_1) ) )).
fof(t1_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) <=> r2_tarski(A,k9_modelc_2) ) )).
fof(t1_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_modelc_3(C,B) & l1_modelc_3(C,B) ) => ! [D] : ( m1_subset_1(D,k25_modelc_2(k43_modelc_2)) => ( r2_tarski(A,u2_modelc_3(B,C)) => ( ( ~ v2_modelc_2(A) & ~ v3_modelc_2(A) & ~ v4_modelc_2(A) & ~ v6_modelc_2(A) ) | ( r8_modelc_2(D,k14_modelc_3(B,C)) <=> r8_modelc_2(D,k14_modelc_3(B,k5_modelc_3(B,C,A))) ) ) ) ) ) ) ) )).
fof(t1_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ( A != 1 => r1_xxreal_0(2,A) ) ) )).
fof(t1_moebius2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(k11_newton(2,k1_nat_1(k3_xcmplx_0(2,B),2)),A) => r1_xxreal_0(k3_xcmplx_0(k1_newton(2,B),k3_square_1(A)),k7_xcmplx_0(A,2)) ) ) ) )).
fof(t1_monoid_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( v5_monoid_0(B,A) <=> ( v3_monoid_0(B,A) & v4_monoid_0(B,A) ) ) ) ) )).
fof(t1_monoid_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : k3_relat_1(B,k5_relat_1(A,C)) = k3_relat_1(k6_relat_1(C,B),A) ) ) )).
fof(t1_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_xboole_0 => ( k6_rusub_4(A,B,C) = C & k6_rusub_4(A,C,B) = C & k1_morph_01(A,B,C) = u1_struct_0(A) ) ) ) ) ) )).
fof(t1_msafree,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k3_finseq_2(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k3_finseq_2(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ! [E] : ( m2_finseq_2(E,B,k3_finseq_2(B)) => ! [F] : ( ( r2_tarski(F,A) & E = k1_funct_1(C,F) ) => k1_funct_1(k3_relat_1(C,k6_finseq_2(B,D)),F) = k4_card_3(k3_relat_1(E,D)) ) ) ) ) ) )).
fof(t1_msafree1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(B,k4_card_3(A)) => r1_tarski(k10_xtuple_0(B),k3_card_3(A)) ) ) ) )).
fof(t1_msafree2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v11_struct_0(A) & l1_msualg_1(A) ) => k2_msafree2(A) = u1_struct_0(A) ) )).
fof(t1_msafree3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( ( v1_msualg_3(C) & r2_pboole(A,B,k1_funct_6(C)) ) => r6_pboole(A,k1_equation(A,k9_pboole(A,B,C),C),B) ) ) ) )).
fof(t1_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) => r1_tarski(k3_card_3(B),k3_card_3(C)) ) ) ) )).
fof(t1_msafree5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r2_tarski(C,A) & r2_tarski(D,k5_trees_1(A,C,B)) ) => ( ( ~ r1_tarski(C,D) => r2_tarski(D,A) ) & ! [E] : ( m2_finseq_1(E,k4_ordinal1) => ( D = k8_finseq_1(k4_ordinal1,C,E) => r2_tarski(E,B) ) ) ) ) ) ) ) ) )).
fof(t1_msalimit,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( ~ v2_struct_0(E) & ~ v11_struct_0(E) & l1_msualg_1(E) ) => ! [F] : ( m1_msalimit(F,A,E) => ! [G] : ( m2_msalimit(G,A,E,F) => ( ( r1_orders_2(A,C,B) & r1_orders_2(A,D,C) ) => r8_pboole(u1_struct_0(E),k3_msualg_3(u1_struct_0(E),u3_msualg_1(E,k5_pralg_2(u1_struct_0(A),E,F,B)),u3_msualg_1(E,k5_pralg_2(u1_struct_0(A),E,F,C)),u3_msualg_1(E,k5_pralg_2(u1_struct_0(A),E,F,D)),k1_msalimit(A,E,F,G,B,C),k1_msalimit(A,E,F,G,C,D)),k1_msalimit(A,E,F,G,B,D)) ) ) ) ) ) ) ) ) )).
fof(t1_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( ( r2_tarski(k4_trees_4(k4_tarski(C,u1_struct_0(A)),D),k1_msaterm(A,B)) & v6_trees_3(D) ) <=> m1_msaterm(D,A,B,k2_msaterm(A,B,C)) ) ) ) ) ) )).
fof(t1_msinst_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( B = k1_msinst_1(A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & l1_msualg_1(C) ) ) ) ) ) )).
fof(t1_msscyc_2,axiom,( ! [A] : ( l1_msualg_1(A) => r1_tarski(k1_msscyc_2(A),k2_zfmisc_1(u4_struct_0(A),u1_struct_0(A))) ) )).
fof(t1_mssubfam,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( B != k1_xboole_0 => r1_tarski(k8_setfam_1(A,B),k5_setfam_1(A,B)) ) ) )).
fof(t1_mssublat,axiom,( ! [A] : k8_finseq_2(k1_tarski(A),k3_finseq_2(k1_tarski(A)),k7_finseq_2(A),k5_numbers) = k1_xboole_0 )).
fof(t1_msualg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ~ v1_xboole_0(k5_msualg_1(A,B,C)) ) ) ) )).
fof(t1_msualg_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m2_finseq_2(D,A,k3_finseq_2(A)) => k4_card_3(k3_relat_1(D,k3_pboole(A,B,C))) = k3_xboole_0(k4_card_3(k3_relat_1(D,B)),k4_card_3(k3_relat_1(D,C))) ) ) ) ) )).
fof(t1_msualg_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ( v1_msualg_3(B) <=> ! [C] : ( r2_tarski(C,A) => v2_funct_1(k1_funct_1(B,C)) ) ) ) )).
fof(t1_msualg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v2_msualg_4(D,A,B) & m1_msualg_4(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) => ( v3_relat_2(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,C)) & v8_relat_2(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,C)) & v1_partfun1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,C),k1_funct_1(u3_msualg_1(A,B),C)) & m1_subset_1(k1_msualg_4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),D,C),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),C),k1_funct_1(u3_msualg_1(A,B),C)))) ) ) ) ) ) )).
fof(t1_msualg_5,axiom,( ! [A] : ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r2_relset_1(A,A,k5_eqrel_1(A,B,C),k1_msualg_5(A,k3_eqrel_1(A,B,C))) ) ) )).
fof(t1_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( r2_tarski(D,k3_msualg_1(A,C,B)) => ( v1_relat_1(D) & v1_funct_1(D) ) ) ) ) ) )).
fof(t1_msualg_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v1_msualg_4(k2_msualg_3(A,B),A,B) & m1_msualg_4(k2_msualg_3(A,B),A,B,B) ) ) ) )).
fof(t1_msualg_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k3_finseq_1(B),A) | ( r2_tarski(A,k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) ) ) ) & ( ( r2_tarski(A,k4_finseq_1(B)) & r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) ) => ( r1_xxreal_0(1,A) & ~ r1_xxreal_0(k3_finseq_1(B),A) ) ) ) ) ) )).
fof(t1_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_tarski(A,k9_xtuple_0(D)) & r2_tarski(k1_funct_1(D,A),k2_zfmisc_1(B,C)) ) => k1_funct_1(D,A) = k4_tarski(k1_funct_1(k11_mcart_1(D),A),k1_funct_1(k12_mcart_1(D),A)) ) ) )).
fof(t1_msuhom_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( r1_tarski(k10_xtuple_0(A),C) => k3_relat_1(A,k5_relat_1(B,C)) = k3_relat_1(A,B) ) ) ) )).
fof(t1_multop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(B,C,D),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(B,C,D),A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(B,C,D),A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(B,C,D),A))) ) => ( ! [G] : ! [H] : ! [I] : ( ( r2_hidden(G,B) & r2_hidden(H,C) & r2_hidden(I,D) ) => k1_funct_1(E,k3_xtuple_0(G,H,I)) = k1_funct_1(F,k3_xtuple_0(G,H,I)) ) => r2_funct_2(k3_zfmisc_1(B,C,D),A,E,F) ) ) ) ) )).
fof(t1_mycielsk,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k5_numbers,A) => k3_xcmplx_0(A,k1_xreal_0(B,C)) = k1_xreal_0(k3_xcmplx_0(A,B),k3_xcmplx_0(A,C)) ) ) ) ) )).
fof(t1_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),C) ) => v1_nagata_1(B,A) ) ) ) )).
fof(t1_nagata_2,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => A != k3_xcmplx_0(k1_newton(2,B),k1_nat_1(k3_xcmplx_0(2,C),1)) ) ) ) ) )).
fof(t1_nat_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ( r2_tarski(k5_numbers,A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => r2_tarski(k2_xcmplx_0(B,1),A) ) ) ) => ! [B] : ( v7_ordinal1(B) => r2_tarski(B,A) ) ) ) )).
fof(t1_nat_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(B,k7_xcmplx_0(A,k2_xcmplx_0(k1_int_1(k7_xcmplx_0(A,B)),1))) ) ) ) )).
fof(t1_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_nat_d(A,C) & r1_nat_d(B,D) ) => r1_nat_d(k3_xcmplx_0(A,B),k3_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t1_nat_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k3_xcmplx_0(A,A),k3_xcmplx_0(B,B)) & r1_xxreal_0(A,B) ) ) ) )).
fof(t1_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ~ r1_xxreal_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(A,2)),1),k11_newton(2,k1_nat_1(A,1))) ) )).
fof(t1_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => r1_xxreal_0(k1_newton(A,C),k1_newton(A,B)) ) ) ) ) )).
fof(t1_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,k2_nat_d(B,A)) ) ) ) )).
fof(t1_nat_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_nat_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_nat_lat)) => k1_lattices(k3_nat_lat,A,B) = k5_nat_d(A,B) ) ) )).
fof(t1_nbvectsp,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m2_finseq_2(B,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ! [C] : ( m2_finseq_2(C,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(A,k5_margrel1)) => k11_descip_1(A,k11_descip_1(A,B,C),D) = k11_descip_1(A,B,k11_descip_1(A,C,D)) ) ) ) ) )).
fof(t1_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k5_vfunct_1(k4_ordinal1,A,B),k6_clvect_1(A,B,k4_xcmplx_0(k6_complex1))) ) ) )).
fof(t1_ncfcont2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_clvect_1(D) & v3_clvect_1(D) & v4_clvect_1(D) & v5_clvect_1(D) & v8_clvect_1(D) & l2_clvect_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( ( r1_ncfcont2(A,C,D,E) & r1_tarski(B,A) ) => r1_ncfcont2(B,C,D,E) ) ) ) ) )).
fof(t1_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_nfcont_1(C,A,B) => ! [D] : ( m1_nfcont_1(D,A,B) => ? [E] : ( m1_nfcont_1(E,A,B) & r1_tarski(E,C) & r1_tarski(E,D) ) ) ) ) ) )).
fof(t1_ndiff_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_ndiff_1(A,B,C,D) & ! [E] : ( m1_nfcont_1(E,A,D) => ~ ( r1_tarski(E,k1_relset_1(u1_struct_0(A),C)) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( ( v9_ordinal1(G) & v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k1_numbers) & v1_fdiff_1(G,k5_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & v3_funct_1(H) & v1_funct_2(H,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( k2_relset_1(u1_struct_0(A),H) = k1_tarski(D) & r1_tarski(k2_relset_1(u1_struct_0(A),k1_normsp_1(A,k2_ndiff_1(A,F,G),H)),E) ) => ( v3_normsp_1(k1_ndiff_1(B,k2_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),k1_normsp_1(A,k2_ndiff_1(A,F,G),H),C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),H,C)),k37_valued_1(k4_ordinal1,k1_numbers,G)),B) & k17_lopban_1(A,B,k3_ndiff_1(A,B,C,D),F) = k5_normsp_1(B,k1_ndiff_1(B,k2_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),k1_normsp_1(A,k2_ndiff_1(A,F,G),H),C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),H,C)),k37_valued_1(k4_ordinal1,k1_numbers,G))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_xxreal_0(k2_normsp_0(A,k1_normsp_0(A,C,D)),k8_nat_1(k1_numbers,B,D)) ) & v2_comseq_2(B) & k1_seq_2(B) = k5_numbers ) => ( v3_normsp_1(C,A) & k5_normsp_1(A,C) = k4_struct_0(A) ) ) ) ) ) )).
fof(t1_ndiff_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => r2_relset_1(k1_numbers,k1_euclid(A),k8_integr15(A,k1_numbers,B,C),k7_integr15(A,k1_numbers,B,k2_nfcont_4(A,k1_numbers,C))) ) ) ) )).
fof(t1_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( v1_ndiff_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( E != k5_numbers & ~ r1_xxreal_0(D,k9_complex1(E)) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(E)),k2_normsp_0(A,k7_partfun1(u1_struct_0(A),B,E)))) ) ) ) ) ) ) ) ) ) )).
fof(t1_ndiff_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k9_funct_2(A,k9_funct_2(B,C)),k9_funct_2(k2_zfmisc_1(A,B),C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k9_funct_2(B,C)),k9_funct_2(k2_zfmisc_1(A,B),C)))) & v3_funct_2(D,k9_funct_2(A,k9_funct_2(B,C)),k9_funct_2(k2_zfmisc_1(A,B),C)) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k9_funct_2(B,C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k9_funct_2(B,C)))) ) => ! [F] : ! [G] : ( ( r2_hidden(F,A) & r2_hidden(G,B) ) => k1_binop_1(k1_funct_1(D,E),F,G) = k1_funct_1(k1_funct_1(E,F),G) ) ) ) ) ) ) )).
fof(t1_ndiff_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k3_relat_1(B,k5_relat_1(C,A)) = k5_relat_1(k3_relat_1(B,C),k8_relat_1(B,A)) ) ) )).
fof(t1_neckla_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ! [C] : ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) => r2_tarski(D,A) ) ) ) )).
fof(t1_neckla_3,axiom,( ! [A] : ! [B] : r2_relset_1(A,A,k2_partfun1(A,A,k6_partfun1(A),B),k8_subset_1(k2_zfmisc_1(A,A),k6_partfun1(A),k2_zfmisc_1(B,B))) )).
fof(t1_necklace,axiom,( 4 = k2_enumset1(k5_numbers,1,2,3) )).
fof(t1_net_1,axiom,( ! [A] : ! [B] : ( l1_petri(B) => ~ ( k2_net_1(B) != k1_xboole_0 & m1_subset_1(A,k2_net_1(B)) & ~ m1_subset_1(A,u1_struct_0(B)) & ~ m1_subset_1(A,u4_struct_0(B)) ) ) )).
fof(t1_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k2_finseq_1(A) = k2_xboole_0(k2_xboole_0(k1_tarski(1),a_1_0_newton(A)),k1_tarski(A)) ) ) )).
fof(t1_newton01,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(k1_newton(A,2),k1_newton(B,2)) = k3_xcmplx_0(k6_xcmplx_0(A,B),k2_xcmplx_0(A,B)) ) ) )).
fof(t1_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_normsp_1(A,B,C),k1_normsp_1(A,B,k5_vfunct_1(k4_ordinal1,A,C))) ) ) ) )).
fof(t1_nfcont_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & l1_normsp_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( ( r1_nfcont_2(A,C,D,E) & r1_tarski(B,A) ) => r1_nfcont_2(B,C,D,E) ) ) ) ) )).
fof(t1_nfcont_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( r1_tarski(k2_relset_1(k1_numbers,C),k1_relset_1(k1_numbers,D)) => r2_tarski(k8_nat_1(k1_numbers,C,A),k1_relset_1(k1_numbers,D)) ) ) ) ) ) )).
fof(t1_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ( D = C => ( r1_nfcont_4(A,C,B) <=> r1_nfcont_3(k4_real_ns1(A),D,B) ) ) ) ) ) ) )).
fof(t1_normform,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_finsub_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_finsub_1(B) ) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(A,B)) => ( ( r1_normform(A,B,C,D) & r1_normform(A,B,D,C) ) => C = D ) ) ) ) ) )).
fof(t1_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k2_normsp_0(A,k4_struct_0(A)) = k5_numbers ) )).
fof(t1_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v4_tbsp_1(A) & k5_setfam_1(u1_struct_0(A),k2_relset_1(k9_setfam_1(u1_struct_0(A)),B)) = u1_struct_0(A) & ! [C] : ( v7_ordinal1(C) => r2_tarski(k3_subset_1(u1_struct_0(A),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,C)),k2_pcomps_1(A)) ) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k8_metric_1(A,E,D),k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,C)) ) ) ) ) ) ) ) )).
fof(t1_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_nfcont_1(B,A) <=> v3_nfcont_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t1_ntalgo_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => k5_int_1(k5_int_1(A,B),B) = k5_int_1(A,B) ) ) )).
fof(t1_numbers,axiom,( r2_xboole_0(k1_numbers,k2_numbers) )).
fof(t1_numeral1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( v1_relat_1(k5_relset_1(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(B),A),C)) & v5_relat_1(k5_relset_1(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(B),A),C),k4_ordinal1) & v1_funct_1(k5_relset_1(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(B),A),C)) & v5_ordinal1(k5_relset_1(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(B),A),C)) & v1_finset_1(k5_relset_1(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k1_prepower(B),A),C)) ) ) ) ) )).
fof(t1_numeral2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v5_ordinal1(A) & v1_finset_1(A) ) => k5_relat_1(A,1) = k5_afinsq_1(k1_funct_1(A,k5_numbers)) ) )).
fof(t1_numerals,axiom,( m1_subset_1(k1_xboole_0,k4_ordinal1) )).
fof(t1_numpoly1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => r1_xxreal_0(1,k3_xcmplx_0(B,A)) ) ) )).
fof(t1_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v11_o_ring_1(B,A) => v13_o_ring_1(B,A) ) ) ) )).
fof(t1_openlatt,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k9_subset_1(u1_struct_0(A),B,k1_tops_1(A,k4_subset_1(u1_struct_0(A),k3_subset_1(u1_struct_0(A),B),C))),C) ) ) ) )).
fof(t1_oposet_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => ( k1_yellow_0(A,k7_domain_1(u1_struct_0(A),B,C)) = C & k2_yellow_0(A,k7_domain_1(u1_struct_0(A),B,C)) = B ) ) ) ) ) )).
fof(t1_ordeq_01,axiom,( ! [A] : r1_abian(A,k1_tarski(k4_tarski(A,A))) )).
fof(t1_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k4_real_ns1(1)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) => ! [D] : ( m1_subset_1(D,k1_numbers) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(A)))) ) => ( ( r1_funct_2(u1_struct_0(k4_real_ns1(1)),k1_numbers,k1_euclid(1),k1_numbers,B,k1_pdiff_1(1,1)) & r2_tarski(C,k1_relset_1(u1_struct_0(k4_real_ns1(1)),F)) & r2_tarski(D,k1_relset_1(k1_numbers,E)) & C = k12_finseq_1(k1_numbers,D) & r2_relset_1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(A),F,k1_partfun1(u1_struct_0(k4_real_ns1(1)),k1_numbers,k1_numbers,u1_struct_0(A),B,E)) ) => ( r1_nfcont_1(k4_real_ns1(1),A,F,C) <=> r1_nfcont_3(A,E,D) ) ) ) ) ) ) ) ) )).
fof(t1_orders_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ r2_tarski(k1_xboole_0,k1_orders_1(A)) ) )).
fof(t1_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_orders_2(A,B,B) ) ) )).
fof(t1_orders_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_orders_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) <=> B = C ) ) ) ) )).
fof(t1_orders_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => ( v4_yellow_0(k1_yellow_1(A),k1_yellow_1(B)) & m1_yellow_0(k1_yellow_1(A),k1_yellow_1(B)) ) ) ) ) )).
fof(t1_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r1_ordinal1(A,B) <=> r1_ordinal1(k1_ordinal1(A),k1_ordinal1(B)) ) ) ) )).
fof(t1_ordinal3,axiom,( ! [A] : r1_tarski(A,k1_ordinal1(A)) )).
fof(t1_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( k9_xtuple_0(A) = k1_ordinal1(B) => ( r1_ordinal2(k1_ordinal2(A),A) & k8_ordinal2(A) = k1_ordinal2(A) ) ) ) ) )).
fof(t1_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ~ ( r1_ordinal1(A,k1_ordinal1(B)) & ~ r1_ordinal1(A,B) & A != k1_ordinal1(B) ) ) ) )).
fof(t1_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) <=> ! [B] : ( r2_tarski(B,A) => v3_ordinal1(B) ) ) )).
fof(t1_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_orders_2(B,k4_struct_0(B),C) ) ) ) )).
fof(t1_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v3_msualg_1(B,A) & v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( m1_osafree(C,A,B) <=> ! [D] : ( m2_osalg_2(D,A,B) => ( r8_pboole(u1_struct_0(A),D,k2_osalg_2(A,C)) => k10_osalg_2(A,B,D) = B ) ) ) ) ) ) )).
fof(t1_osalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,k3_finseq_2(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k3_finseq_2(A)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ~ v2_struct_0(g3_osalg_1(A,C,B,D,E,F)) & ~ v11_struct_0(g3_osalg_1(A,C,B,D,E,F)) & v3_orders_2(g3_osalg_1(A,C,B,D,E,F)) & v4_orders_2(g3_osalg_1(A,C,B,D,E,F)) & v5_orders_2(g3_osalg_1(A,C,B,D,E,F)) ) ) ) ) ) ) ) )).
fof(t1_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v11_osalg_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) & v11_osalg_1(C,A) ) => ( v1_relat_1(k3_pboole(u1_struct_0(A),B,C)) & v4_relat_1(k3_pboole(u1_struct_0(A),B,C),u1_struct_0(A)) & v1_funct_1(k3_pboole(u1_struct_0(A),B,C)) & v1_partfun1(k3_pboole(u1_struct_0(A),B,C),u1_struct_0(A)) & v11_osalg_1(k3_pboole(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t1_osalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) & v1_funcop_1(B) ) => ( v1_osalg_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_orders_2(A,C,D) => ( r1_tarski(k9_xtuple_0(k1_funct_1(B,C)),k9_xtuple_0(k1_funct_1(B,D))) & r1_tarski(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) ) ) )).
fof(t1_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( m1_msualg_4(D,u1_struct_0(A),B,C) => ( v1_osalg_4(D,A,B,C) => ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(A)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(A)) & v11_osalg_1(D,A) ) ) ) ) ) ) )).
fof(t1_papdesaf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( ( m1_subset_1(B,u1_struct_0(A)) => m1_subset_1(B,u1_struct_0(k2_diraf(A))) ) & ( m1_subset_1(B,u1_struct_0(k2_diraf(A))) => m1_subset_1(B,u1_struct_0(A)) ) & ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_diraf(A)))) ) & ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_diraf(A)))) => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t1_pardepap,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(A) ) => ( v2_aff_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_analoaf(A,B,C,B,D) & r2_analoaf(A,E,F,E,G) & r2_analoaf(A,B,F,C,E) & r2_analoaf(A,C,G,D,F) ) => r2_analoaf(A,D,E,B,G) ) ) ) ) ) ) ) ) ) )).
fof(t1_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => k2_parsp_1(A,B,C) = k4_domain_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k3_rlvect_1(A,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)),k3_rlvect_1(A,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C)),k3_rlvect_1(A,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B),k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C))) ) ) ) )).
fof(t1_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(k9_parsp_1(A)) & v2_parsp_1(k9_parsp_1(A)) & l1_parsp_1(k9_parsp_1(A)) ) ) )).
fof(t1_partfun1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( ! [C] : ( r2_hidden(C,k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) => k1_funct_1(A,C) = k1_funct_1(B,C) ) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k2_xboole_0(A,B) != C ) ) ) ) )).
fof(t1_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( k1_relset_1(A,C) = k1_relset_1(A,D) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,C)) => k7_partfun1(B,C,E) = k7_partfun1(B,D,E) ) ) ) => r2_relset_1(A,B,C,D) ) ) ) ) ) )).
fof(t1_partfun3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v2_funct_1(A) & r1_tarski(B,k9_xtuple_0(k2_funct_1(A))) ) => k7_relat_1(A,k7_relat_1(k2_funct_1(A),B)) = B ) ) )).
fof(t1_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ! [D] : ( ( r2_tarski(C,B) & r2_tarski(D,B) & r1_tarski(C,D) ) => C = D ) ) ) )).
fof(t1_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k2_bvfunc_2(A,k1_subset_1(k1_bvfunc_2(A))) = k6_partit1(A) ) )).
fof(t1_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_analoaf(A,C,E,E,D) & E != D & C != E & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_analoaf(A,B,E,E,F) & r2_diraf(A,B,C,D,F) & D != F & E != F ) ) ) ) ) ) ) ) )).
fof(t1_pboole,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_relat_1(A) => v1_setfam_1(k10_xtuple_0(A)) ) ) )).
fof(t1_pcomps_1,axiom,( ! [A] : ( l1_metric_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(C,D) => r1_tarski(k8_metric_1(A,B,C),k8_metric_1(A,B,D)) ) ) ) ) ) )).
fof(t1_pcomps_2,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r2_wellord1(A,B) => ( r2_wellord1(k2_wellord1(A,B),B) & B = k1_relat_1(k2_wellord1(A,B)) ) ) ) )).
fof(t1_pcs_0,axiom,( ! [A] : ! [B] : ! [C] : ( ( v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v8_relat_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ( r1_xboole_0(A,B) => v8_relat_2(k2_pcs_0(A,A,B,B,C,D)) ) ) ) )).
fof(t1_pdiff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(A,k2_finseq_1(B)) => ( k1_relset_1(k1_euclid(B),k1_pdiff_1(A,B)) = k1_euclid(B) & k1_rvsum_1(k1_pdiff_1(A,B)) = k1_numbers ) ) ) ) & ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k1_pdiff_1(1,1),k9_finseq_1(A)) = A & k1_funct_1(k2_funct_1(k1_pdiff_1(1,1)),A) = k9_finseq_1(A) ) ) )).
fof(t1_pdiff_2,axiom,( k1_relset_1(k1_euclid(2),k1_pdiff_1(1,2)) = k1_euclid(2) & k2_relset_1(k1_numbers,k1_pdiff_1(1,2)) = k1_numbers & ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_funct_1(k1_pdiff_1(1,2),k10_finseq_1(A,B)) = A ) ) )).
fof(t1_pdiff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(2)) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( C = k10_finseq_1(A,B) & r1_pdiff_3(D,C) ) => r1_fdiff_1(k1_pdiff_2(2,1,k1_pdiff_3(1,2,D),C),A) ) ) ) ) ) )).
fof(t1_pdiff_4,axiom,( k1_relset_1(k1_euclid(3),k1_pdiff_1(1,3)) = k1_euclid(3) & k1_rvsum_1(k1_pdiff_1(1,3)) = k1_numbers & ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_funct_1(k1_pdiff_1(1,3),k11_finseq_1(A,B,C)) = A ) ) ) )).
fof(t1_pdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( ( D = k11_finseq_1(A,B,C) & r1_pdiff_5(E,D) ) => r1_fdiff_1(k1_pdiff_2(3,1,k1_pdiff_3(1,3,E),D),A) ) ) ) ) ) ) )).
fof(t1_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) <=> ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))))) ) ) ) ) )).
fof(t1_pdiff_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => k17_finseq_1(k1_numbers,A,k5_euclid(B)) = k5_euclid(A) ) ) ) )).
fof(t1_pdiff_8,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( ( r2_tarski(B,k2_finseq_1(A)) & C = D ) => r1_xxreal_0(k9_complex1(k7_partfun1(k1_numbers,D,B)),k12_euclid(C)) ) ) ) ) ) )).
fof(t1_pdiff_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B))) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_xxreal_0(k2_normsp_0(A,E),1) => r1_xxreal_0(k2_normsp_0(B,k17_lopban_1(A,B,C,E)),k3_xcmplx_0(D,k2_normsp_0(A,E))) ) ) ) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A,B),C),D) ) ) ) ) ) )).
fof(t1_pencil_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k4_card_3(A) = k4_card_3(B) & v2_relat_1(A) ) => v2_relat_1(B) ) ) ) )).
fof(t1_pencil_2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_tarski(k2_relset_1(A,k1_pencil_2(A,B,C,D)),k2_relset_1(A,B)) ) ) ) )).
fof(t1_pencil_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_pencil_1(A,C,D) => r1_pencil_1(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)) ) ) ) ) ) )).
fof(t1_pencil_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(3,B) & r1_xxreal_0(B,k1_nat_1(A,1)) & ~ r1_xxreal_0(2,A) ) ) ) )).
fof(t1_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => r1_int_2(A,k1_nat_1(A,1)) ) )).
fof(t1_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k6_petri(A,B) = a_2_2_petri(A,B) ) ) )).
fof(t1_petri_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_petri_2(C,A,B) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) & ? [E] : ( v1_funct_1(E) & v1_funct_2(E,D,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,A))) & v1_finset_1(D) & C = a_4_1_petri_2(A,B,D,E) ) ) ) ) )).
fof(t1_petri_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ~ ( ! [E] : ~ ( r2_hidden(E,A) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ~ ( F = k1_funct_1(B,E) & k9_xtuple_0(F) = k1_funct_1(C,E) & k10_xtuple_0(F) = k1_funct_1(D,E) ) ) ) & ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( ( r2_hidden(E,A) & r2_hidden(F,A) & G = k1_funct_1(B,E) & H = k1_funct_1(B,F) ) => ( E = F | r1_xboole_0(k9_xtuple_0(G),k9_xtuple_0(H)) ) ) ) ) & ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ~ ( E = k3_tarski(k10_xtuple_0(B)) & k9_xtuple_0(E) = k3_tarski(k10_xtuple_0(C)) & k10_xtuple_0(E) = k3_tarski(k10_xtuple_0(D)) & ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( ( r2_hidden(F,A) & H = k1_funct_1(B,F) & r2_hidden(G,k9_xtuple_0(H)) ) => k1_funct_1(E,G) = k1_funct_1(H,G) ) ) ) ) ) ) ) ) )).
fof(t1_petri_df,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( v2_funct_1(k1_rfinseq(1,C)) & r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(B,k3_finseq_1(C)) & k1_funct_1(C,A) = k1_funct_1(C,B) ) => ( r1_xxreal_0(A,1) | r1_xxreal_0(B,1) | A = B ) ) ) ) ) )).
fof(t1_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => r2_pnproc_1(A,k1_pnproc_1(A),B) ) )).
fof(t1_polyalg1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),A))) ) => k9_xtuple_0(C) = k2_zfmisc_1(A,B) ) )).
fof(t1_polyeq_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k1_polyeq_2(A,k5_numbers,B,k5_numbers,C,D) = k5_numbers => ( A = k5_numbers | C = k5_numbers | r1_xxreal_0(k6_xcmplx_0(k1_square_1(B),k3_xcmplx_0(k3_xcmplx_0(4,A),C)),k5_numbers) | ( D != k5_numbers & ~ ( D != k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A))) & D != k3_square_1(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A))) & D != k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)))) & D != k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)))) ) ) ) ) ) ) ) ) )).
fof(t1_polyeq_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xcmplx_0(D) => ~ ( A != k5_numbers & r1_xxreal_0(k5_numbers,k1_quin_1(A,B,C)) & k2_polyeq_3(A,B,C,D) = k5_numbers & D != k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) & D != k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) & D != k4_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(2,A))) ) ) ) ) ) )).
fof(t1_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k5_numbers,k1_quin_1(A,B,C)) => ( r1_xxreal_0(k5_numbers,k7_xcmplx_0(B,A)) | r1_xxreal_0(k7_xcmplx_0(C,A),k5_numbers) | ( ~ r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)),k5_numbers) & ~ r1_xxreal_0(k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)),k5_numbers) ) ) ) ) ) ) )).
fof(t1_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => k3_xcmplx_0(A,A) = k1_newton(A,2) ) )).
fof(t1_polyform,axiom,( ! [A] : ! [B] : ! [C] : ( ( r2_hidden(B,A) & r2_hidden(C,A) ) => ( ! [D] : ! [E] : ~ ( D != E & A = k2_tarski(D,E) ) | B = C | A = k2_tarski(B,C) ) ) )).
fof(t1_polynom1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( k4_finseq_1(B) = k4_finseq_1(C) => k4_finseq_1(k3_fvsum_1(A,B,C)) = k4_finseq_1(B) ) ) ) ) )).
fof(t1_polynom2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k9_nat_1(u1_struct_0(A),k4_group_1(A),B,k1_nat_1(C,D)) = k6_algstr_0(A,k9_nat_1(u1_struct_0(A),k4_group_1(A),B,C),k9_nat_1(u1_struct_0(A),k4_group_1(A),B,D)) ) ) ) ) )).
fof(t1_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k4_finseq_1(B)) => k1_funct_1(B,C) = k4_struct_0(A) ) ) => k4_rlvect_1(A,B) = k4_struct_0(A) ) ) ) )).
fof(t1_polynom4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => B = k7_finseq_1(k7_finseq_1(k17_finseq_1(A,k7_nat_d(C,1),B),k9_finseq_1(k1_funct_1(B,C))),k2_rfinseq(A,C,B)) ) ) ) ) )).
fof(t1_polynom5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( A != k5_numbers & B != k5_numbers & ~ r1_xxreal_0(k5_numbers,k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_nat_1(A,B),A),B),1)) ) ) ) )).
fof(t1_polynom6,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ! [D] : ( r2_tarski(D,C) <=> ? [E] : ( v3_ordinal1(E) & D = k10_ordinal2(A,E) & r2_tarski(E,B) ) ) => k10_ordinal2(A,B) = k2_xboole_0(A,C) ) ) ) )).
fof(t1_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(B),C,k8_polynom1(A,B)) <=> k3_polynom1(k15_pre_poly(A),B,C) = k1_xboole_0 ) ) ) )).
fof(t1_polynom8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v4_vectsp_1(B) & v1_vectsp_2(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( C != k4_struct_0(B) & k2_binom(B,C,A) = k4_struct_0(B) ) ) ) ) )).
fof(t1_polyred,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_vfunct_1(k15_pre_poly(A),B,k6_polynom1(A,B,C,D)),k6_polynom1(A,B,k5_vfunct_1(k15_pre_poly(A),B,C),k5_vfunct_1(k15_pre_poly(A),B,D))) ) ) ) )).
fof(t1_poset_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v6_orders_2(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_orders_3(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ~ v1_xboole_0(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) & v6_orders_2(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),B) & m1_subset_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t1_poset_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r1_lattice3(A,u1_struct_0(A),B) => B = k3_yellow_0(A) ) ) ) )).
fof(t1_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( v1_abian(B) => k1_newton(k4_xcmplx_0(A),B) = k1_newton(A,B) ) ) ) )).
fof(t1_pralg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) => ( ~ v2_struct_0(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v1_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v2_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v3_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v4_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & l1_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) ) ) ) ) )).
fof(t1_pralg_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( k9_xtuple_0(A) = k1_tarski(k1_xboole_0) => k1_pralg_2(A) = A ) ) )).
fof(t1_pralg_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( r2_tarski(A,k4_card_3(B)) => r2_tarski(k5_relat_1(A,C),k4_card_3(k5_relat_1(B,C))) ) ) ) )).
fof(t1_pre_ff,axiom,( k1_pre_ff(k5_numbers) = k5_numbers & k1_pre_ff(1) = 1 & ! [A] : ( v7_ordinal1(A) => k1_pre_ff(k1_nat_1(k1_nat_1(A,1),1)) = k1_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(t1_pre_poly,axiom,( ! [A] : ! [B] : ( m2_finseq_2(B,A,k3_finseq_2(A)) => k5_pre_poly(A,k3_pre_poly(k3_finseq_2(A),B)) = B ) )).
fof(t1_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => r2_tarski(k1_xboole_0,u1_pre_topc(A)) ) )).
fof(t1_prefer_1,axiom,( ! [A] : r1_prefer_1(k1_xboole_0,A,k1_xboole_0) )).
fof(t1_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_prelamb(A) ) => ! [B] : ( m1_prelamb(B,A) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ( k8_trees_2(k9_xtuple_0(B),C) = 1 => r2_tarski(k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)),k9_xtuple_0(B)) ) ) ) ) )).
fof(t1_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & ! [C] : ( v7_ordinal1(C) => r1_xxreal_0(A,k1_funct_1(B,C)) ) ) => r1_xxreal_0(A,k1_seq_2(B)) ) ) ) )).
fof(t1_prgcor_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k7_nat_d(k2_xcmplx_0(A,C),k2_xcmplx_0(B,C)) = k7_nat_d(A,B) ) ) ) )).
fof(t1_prgcor_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( ( r1_tarski(k4_ordinal1,A) & v7_ordinal1(k1_funct_1(B,k5_numbers)) & r2_tarski(k1_funct_1(B,k5_numbers),k2_afinsq_1(B)) ) => r1_prgcor_2(A,B,k12_afinsq_1(A,B)) ) ) ) )).
fof(t1_prob_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ? [C] : ( v7_ordinal1(C) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => k8_nat_1(k1_numbers,B,D) = A ) ) ) => ( v2_comseq_2(B) & k1_seq_2(B) = A ) ) ) ) )).
fof(t1_prob_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( A != k5_numbers & B != k5_numbers & ~ ( k7_xcmplx_0(D,B) = k7_xcmplx_0(C,A) <=> k3_xcmplx_0(D,A) = k3_xcmplx_0(C,B) ) ) ) ) ) ) )).
fof(t1_prob_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ~ r2_tarski(k5_numbers,k9_xtuple_0(A)) ) )).
fof(t1_prob_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r1_tarski(k4_measure1(A,k9_setfam_1(A),C),B) ) ) )).
fof(t1_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k6_cqc_lang(A,k7_cqc_lang(A,B,k6_cqc_lang(A,B))),k4_cqc_the1(A)) ) ) )).
fof(t1_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_collsp(A,B,C,D) => ( r1_collsp(A,C,D,B) & r1_collsp(A,D,B,C) & r1_collsp(A,C,B,D) & r1_collsp(A,B,D,C) & r1_collsp(A,D,C,B) ) ) ) ) ) ) )).
fof(t1_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),E) => r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),C,B),E) ) & ( r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) => ( r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,D,C),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,B,D),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,D,B),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,B,C),E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),D,C,B),E) ) ) & ( r2_projpl_1(A,B,E,F) => r2_projpl_1(A,B,F,E) ) & ( r3_projpl_1(A,B,E,F,G) => ( r3_projpl_1(A,B,E,G,F) & r3_projpl_1(A,B,F,E,G) & r3_projpl_1(A,B,F,G,E) & r3_projpl_1(A,B,G,E,F) & r3_projpl_1(A,B,G,F,E) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ~ ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => r1_incsp_1(A,C,B) ) ) ) )).
fof(t1_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( ~ ( B != C & C != D & D != B ) => r1_projred2(A,B,C,D) ) ) ) ) ) )).
fof(t1_prvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => r3_binop_1(u1_struct_0(A),k4_struct_0(A),u1_algstr_0(A)) ) )).
fof(t1_prvect_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => k3_funct_2(k4_ordinal1,k1_numbers,B,D) = k9_complex1(k6_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,A,D),C)) ) => ( ( ( v2_comseq_2(A) & k1_seq_2(A) = C ) => ( v2_comseq_2(B) & k1_seq_2(B) = k5_numbers ) ) & ( ( v2_comseq_2(B) & k1_seq_2(B) = k5_numbers ) => ( v2_comseq_2(A) & k1_seq_2(A) = C ) ) ) ) ) ) ) )).
fof(t1_prvect_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))))) & v2_funct_1(E) & v2_funct_2(E,k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))) & ! [F] : ! [G] : ! [H] : ! [I] : ( ( r2_tarski(F,A) & r2_tarski(G,B) & r2_tarski(H,C) & r2_tarski(I,D) ) => k1_binop_1(E,k4_tarski(F,G),k4_tarski(H,I)) = k4_tarski(k4_tarski(F,H),k4_tarski(G,I)) ) ) ) ) ) ) )).
fof(t1_pscomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_seq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_xxreal_0(k1_pscomp_1(A,B),k3_funct_2(u1_struct_0(A),k1_numbers,B,C)) ) ) ) )).
fof(t1_pua2mss1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(k4_card_3(A),k4_card_3(B)) => ( k9_xtuple_0(A) = k9_xtuple_0(B) & ! [C] : ( r2_tarski(C,k9_xtuple_0(A)) => r1_tarski(k1_funct_1(A,C),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(t1_pythtrip,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ( v1_pythtrip(k2_nat_1(A,B)) & r1_int_2(A,B) ) => ( v1_pythtrip(A) & v1_pythtrip(B) ) ) ) ) )).
fof(t1_pzfmisc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) ) => ( r2_hidden(A,B) => k9_xtuple_0(k1_funct_4(D,k17_funcop_1(A,C))) = B ) ) )).
fof(t1_qc_lang1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,A) => r1_tarski(k2_zfmisc_1(k1_tarski(C),B),k2_zfmisc_1(A,B)) ) ) )).
fof(t1_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => k18_qc_lang1(A,k13_qc_lang1(A,B)) = B ) ) )).
fof(t1_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k6_qc_lang1(A)) => m2_subset_1(B,k6_qc_lang1(A),k8_qc_lang1(A,k7_qc_lang1(A,B))) ) ) )).
fof(t1_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r2_qc_lang2(A,B,C) => r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,B)),k3_finseq_1(k11_qc_lang1(A,C))) ) ) ) ) )).
fof(t1_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v5_relat_1(C,k3_qc_lang1(A)) & v3_card_1(C,B) & m2_finseq_1(C,k2_qc_lang1(A)) ) => ! [D] : ( m2_subset_1(D,k6_qc_lang1(A),k8_qc_lang1(A,B)) => k7_qc_lang1(A,D) = k3_finseq_1(C) ) ) ) ) )).
fof(t1_qmax_1,axiom,( ! [A] : ( ( v2_qmax_1(A) & l1_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,k3_qmax_1(A)) => ! [C] : ( m1_subset_1(C,k5_qmax_1(A)) => ! [D] : ( m1_prob_1(D,k1_numbers,k12_prob_1) => ( D = k3_subset_1(k1_numbers,k7_qmax_1(A,C)) => k3_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(A,k6_qmax_1(A,C),B),k7_qmax_1(A,C)) = k6_xcmplx_0(1,k3_funct_2(k12_prob_1,k1_numbers,k4_qmax_1(A,k6_qmax_1(A,C),B),D)) ) ) ) ) ) )).
fof(t1_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_lattices(B) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => ( k1_lattices(A,C,D) = k1_lattices(B,E,F) & k2_lattices(A,C,D) = k2_lattices(B,E,F) & ( r1_lattices(A,C,D) => r1_lattices(B,E,F) ) & ( r1_lattices(B,E,F) => r1_lattices(A,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_quatern2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k5_quaterni(A,B,C,D) = k21_quaterni(k21_quaterni(k18_quaterni(A,k20_quaterni(B,k7_complex1)),k20_quaterni(C,k10_quaterni)),k20_quaterni(D,k11_quaterni)) ) ) ) ) )).
fof(t1_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k12_quaterni(k22_quaterni(A,B)) = k12_quaterni(k22_quaterni(B,A)) ) ) )).
fof(t1_quin_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( A != k5_numbers => k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C) = k6_xcmplx_0(k3_xcmplx_0(A,k1_square_1(k2_xcmplx_0(D,k7_xcmplx_0(B,k3_xcmplx_0(2,A))))),k7_xcmplx_0(k1_quin_1(A,B,C),k3_xcmplx_0(4,A))) ) ) ) ) ) )).
fof(t1_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & l5_algstr_0(A) ) => ~ v1_xboole_0(k1_quofield(A)) ) )).
fof(t1_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( k4_nat_d(B,A) = k6_xcmplx_0(A,1) => k4_nat_d(k2_xcmplx_0(B,1),A) = k5_numbers ) ) ) )).
fof(t1_radix_2,axiom,( ! [A] : ( v7_ordinal1(A) => k4_nat_d(A,1) = k5_numbers ) )).
fof(t1_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ( r2_hidden(B,k2_radix_3(A)) => ( r1_xxreal_0(k6_xcmplx_0(k4_xcmplx_0(k1_radix_1(k7_nat_d(A,1))),1),B) & r1_xxreal_0(B,k1_radix_1(k7_nat_d(A,1))) ) ) ) ) )).
fof(t1_radix_4,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(2,A) & r1_xxreal_0(k1_radix_1(A),2) ) ) )).
fof(t1_radix_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => r2_tarski(k6_xcmplx_0(k1_radix_1(A),1),k3_radix_1(A)) ) ) )).
fof(t1_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(2,C) ) => k8_radix_1(k2_xcmplx_0(B,A),C,k6_radix_5(k2_xcmplx_0(B,A),B,C)) = k8_radix_1(B,C,k6_radix_5(B,B,C)) ) ) ) ) ) )).
fof(t1_ramsey_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ( ( v2_funct_1(D) & r1_ordinal1(k4_card_1(A),k1_card_1(B)) ) => ( v1_xboole_0(B) | v1_xboole_0(C) | k3_group_10(k7_relat_1(D,E),A) = k7_relat_1(k1_ramsey_1(A,B,C,D),k3_group_10(E,A)) ) ) ) ) ) )).
fof(t1_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( v1_xreal_0(F) => ( ( r1_mesfunc5(A,B,C,D) & r1_tarski(E,k1_relset_1(A,D)) & ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,E) => r1_xxreal_0(F,k12_supinf_2(D,G)) ) ) ) => ( r1_xxreal_0(k1_xxreal_0,k3_funct_2(B,k6_numbers,C,E)) | r1_xxreal_0(k4_xxreal_3(F,k3_funct_2(B,k6_numbers,C,E)),k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,D,E))) ) ) ) ) ) ) ) ) )).
fof(t1_random_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_xtuple_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_xtuple_0(A))) => ( r1_xboole_0(B,C) => r1_xboole_0(k10_xtuple_0(k5_relat_1(A,B)),k10_xtuple_0(k5_relat_1(A,C))) ) ) ) ) )).
fof(t1_random_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k8_relat_1(B,k3_tarski(A)) = k3_tarski(a_2_0_random_3(A,B)) ) ) )).
fof(t1_ranknull,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v2_funct_1(B) & v2_funct_1(k5_relat_1(A,k10_xtuple_0(B))) & r1_tarski(k10_xtuple_0(B),k9_xtuple_0(A)) ) => v2_funct_1(k3_relat_1(B,A)) ) ) ) )).
fof(t1_rat_1,axiom,( ! [A] : ~ ( r2_hidden(A,k3_numbers) & ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ~ ( C != k5_numbers & A = k7_xcmplx_0(B,C) ) ) ) ) )).
fof(t1_ratfunc1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(A)) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(C)) => k7_partfun1(u1_struct_0(A),D,E) = k6_algstr_0(A,B,k7_partfun1(u1_struct_0(A),C,E)) ) ) ) => k4_rlvect_1(A,D) = k6_algstr_0(A,B,k4_rlvect_1(A,C)) ) ) ) ) ) )).
fof(t1_rcomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r2_hidden(B,k2_rcomp_1(k6_xcmplx_0(C,A),k2_xcmplx_0(C,A))) <=> ~ r1_xxreal_0(A,k9_complex1(k6_xcmplx_0(B,C))) ) ) ) ) )).
fof(t1_rcomp_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_membered(A) & v3_xxreal_2(A) ) => ! [B] : ( ( v2_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,B) => r2_hidden(k3_seq_4(A),B) ) ) ) )).
fof(t1_real,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(A,B) & v2_xxreal_0(A) ) => v2_xxreal_0(B) ) ) ) )).
fof(t1_real_1,axiom,( k2_arytm_2 = a_0_0_real_1 )).
fof(t1_real_3,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(k7_xcmplx_0(1,A),1) ) ) )).
fof(t1_real_lat,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_real_lat)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_real_lat)) => k1_binop_1(k2_real_lat,A,B) = k1_binop_1(k2_real_lat,B,A) ) ) )).
fof(t1_real_ns1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(A))) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ( B = C => k2_normsp_0(k4_real_ns1(A),B) = k12_euclid(C) ) ) ) ) )).
fof(t1_realset1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( r2_tarski(B,k2_zfmisc_1(A,A)) => r2_tarski(k1_funct_1(C,B),A) ) ) )).
fof(t1_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A))) & v13_algstr_0(g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A))) & v2_rlvect_1(g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A))) & v3_rlvect_1(g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A))) & v4_rlvect_1(g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A))) & l2_algstr_0(g2_algstr_0(u1_struct_0(A),u1_algstr_0(A),u2_struct_0(A))) ) ) )).
fof(t1_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => k1_funct_1(k5_realset2(A),k5_struct_0(A)) = k5_struct_0(A) ) )).
fof(t1_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ( v3_rearran1(B,k1_zfmisc_1(A)) <=> k3_finseq_1(B) = k4_card_1(A) ) ) ) )).
fof(t1_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v1_relat_2(A) <=> r1_tarski(k4_relat_1(k1_relat_1(A)),A) ) ) )).
fof(t1_reloc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_compos_0(u1_compos_1(k1_ami_3),k7_ami_3(B),A) = k7_ami_3(k2_xcmplx_0(B,A)) ) ) )).
fof(t1_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,C))) => ( r1_tarski(A,D) => m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) ) )).
fof(t1_relset_2,axiom,( ! [A] : ! [B] : ( r2_hidden(A,k10_eqrel_1(B)) <=> ? [C] : ( A = k1_tarski(C) & r2_hidden(C,B) ) ) )).
fof(t1_revrot_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( r2_finseq_4(B,k7_partfun1(A,B,k3_finseq_1(B))) => k4_finseq_4(B,k7_partfun1(A,B,k3_finseq_1(B))) = k3_finseq_1(B) ) ) ) )).
fof(t1_rewrite1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( k1_rewrite1(k1_xboole_0,A) = A & k1_rewrite1(A,k1_xboole_0) = A ) ) )).
fof(t1_rewrite2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r2_tarski(k1_nat_1(A,1),k4_finseq_1(B)) => ( r2_tarski(A,k4_finseq_1(B)) | A = k5_numbers ) ) ) ) )).
fof(t1_rewrite3,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(B,k4_finseq_1(C)) => k1_funct_1(k7_finseq_1(k9_finseq_1(A),C),k2_xcmplx_0(B,1)) = k1_funct_1(C,B) ) ) ) )).
fof(t1_rfinseq,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_classes1(A,B) <=> r2_classes1(k7_finseq_1(A,C),k7_finseq_1(B,C)) ) ) ) ) )).
fof(t1_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) ) => ( r1_xxreal_0(k1_funct_1(A,B),k1_funct_1(A,k1_rfinseq2(A))) & r1_xxreal_0(k1_funct_1(A,B),k3_rfinseq2(A)) ) ) ) ) )).
fof(t1_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ( r1_tarski(k9_xtuple_0(k4_rfunct_1(A)),k9_xtuple_0(A)) & k9_subset_1(k9_xtuple_0(A),k9_xtuple_0(A),k6_subset_1(k9_xtuple_0(A),k8_relat_1(A,k1_tarski(k5_numbers)))) = k6_subset_1(k9_xtuple_0(A),k8_relat_1(A,k1_tarski(k5_numbers))) ) ) )).
fof(t1_rfunct_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_relset_1(k4_ordinal1,k1_numbers,A,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C)) <=> ! [D] : ( v7_ordinal1(D) => k1_funct_1(A,D) = k6_xcmplx_0(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) ) )).
fof(t1_rfunct_3,axiom,( ! [A] : ( v1_xreal_0(A) => A = k6_xcmplx_0(k1_rfunct_3(A),k2_rfunct_3(A)) ) )).
fof(t1_rfunct_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k3_xxreal_0(A,B),k4_xxreal_0(A,B)) ) ) )).
fof(t1_rinfsup1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( ~ r1_xxreal_0(C,k6_xcmplx_0(B,A)) & ~ r1_xxreal_0(k2_xcmplx_0(B,A),C) ) <=> ~ r1_xxreal_0(A,k9_complex1(k6_xcmplx_0(C,B))) ) ) ) ) )).
fof(t1_rinfsup2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k6_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( A = B & v4_xxreal_2(B) ) => ( v4_xxreal_2(A) & k8_supinf_2(A) = k2_seq_4(B) ) ) ) ) )).
fof(t1_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_algstr_0(A,k5_algstr_0(A,B,C),C) = B ) ) ) )).
fof(t1_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ( ? [C] : ( v7_ordinal1(C) & r2_tarski(C,k4_finseq_1(B)) & k1_funct_1(B,C) = k4_struct_0(A) ) => k3_group_4(A,B) = k4_struct_0(A) ) ) ) )).
fof(t1_ringcat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v1_ringcat1(D,A,B) & v1_ringcat1(E,B,C) ) => v1_ringcat1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t1_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_convex1(A,k6_domain_1(u1_struct_0(A),B)) = k6_domain_1(u1_struct_0(A),B) ) ) )).
fof(t1_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_rlvect_2(D,A,C) => ~ ( v2_convex1(D,A) & B != k6_rlvect_2(A,D) & k3_funct_2(u1_struct_0(A),k1_numbers,D,B) != k5_numbers & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,k3_convex1(A,k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B)))) & k6_rlvect_2(A,D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_funct_2(u1_struct_0(A),k1_numbers,D,B)),k1_rlvect_1(A,E,k6_xcmplx_0(1,k3_funct_2(u1_struct_0(A),k1_numbers,D,B)))) & k3_rlvect_1(A,k1_rlvect_1(A,k6_rlvect_2(A,D),k7_xcmplx_0(1,k3_funct_2(u1_struct_0(A),k1_numbers,D,B))),k1_rlvect_1(A,E,k6_xcmplx_0(1,k7_xcmplx_0(1,k3_funct_2(u1_struct_0(A),k1_numbers,D,B))))) = B ) ) ) ) ) ) ) )).
fof(t1_rlaffin3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => ! [C] : ( v1_xreal_0(C) => k7_finseq_1(k3_euclid_9(A,C),k3_euclid_9(B,C)) = k3_euclid_9(k7_finseq_1(A,B),C) ) ) ) )).
fof(t1_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlsub_1(B,A) => ( B = k1_xboole_0 | r2_tarski(k4_struct_0(A),B) ) ) ) ) )).
fof(t1_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( r1_struct_0(k1_rlsub_2(A,B,C),D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,E) & r1_struct_0(C,F) & D = k3_rlvect_1(A,E,F) ) ) ) ) ) ) )).
fof(t1_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( r2_tarski(C,B) => r2_tarski(k1_rlvect_1(A,C,D),k1_convex1(A,B,D)) ) ) ) ) ) )).
fof(t1_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_struct_0(A,B) ) ) )).
fof(t1_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_rlvect_2(A,B) = B ) ) )).
fof(t1_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => k6_rlvect_2(A,k7_rlvect_2(A,B,C)) = k3_rlvect_1(A,k6_rlvect_2(A,B),k6_rlvect_2(A,C)) ) ) ) )).
fof(t1_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k5_algstr_0(A,k3_rlvect_1(A,B,C),B) = C & k5_algstr_0(A,k3_rlvect_1(A,C,B),B) = C & k3_rlvect_1(A,k5_algstr_0(A,B,B),C) = C & k3_rlvect_1(A,k5_algstr_0(A,C,B),B) = C & k3_rlvect_1(A,B,k5_algstr_0(A,C,B)) = C & k3_rlvect_1(A,C,k5_algstr_0(A,B,B)) = C & k5_algstr_0(A,B,k5_algstr_0(A,B,C)) = C ) ) ) ) )).
fof(t1_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_rlvect_3(D,A) & r1_tarski(k3_rlvect_2(A,B),D) & r1_tarski(k3_rlvect_2(A,C),D) & k6_rlvect_2(A,B) = k6_rlvect_2(A,C) ) => r1_rlvect_2(A,B,C) ) ) ) ) ) )).
fof(t1_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ( k3_finseq_1(B) = k3_finseq_1(C) => k4_rlvect_1(A,k1_binom(A,B,C)) = k3_rlvect_1(A,k4_rlvect_1(A,B),k4_rlvect_1(A,C)) ) ) ) ) )).
fof(t1_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_rmod_2(C,A,B) => ( C = k1_xboole_0 | r2_tarski(k4_struct_0(B),C) ) ) ) ) ) )).
fof(t1_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( r1_struct_0(k1_rmod_3(A,B,C,D),E) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r1_struct_0(C,F) & r1_struct_0(D,G) & E = k3_rlvect_1(B,F,G) ) ) ) ) ) ) ) )).
fof(t1_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ( ( k3_finseq_1(D) = k3_finseq_1(E) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ( ( r2_tarski(F,k9_xtuple_0(D)) & G = k1_funct_1(E,F) ) => k1_funct_1(D,F) = k4_vectsp_2(A,B,C,G) ) ) ) ) => k4_rlvect_1(B,D) = k4_vectsp_2(A,B,C,k4_rlvect_1(B,E)) ) ) ) ) ) ) )).
fof(t1_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_robbins1(A,k4_robbins1(A,B,C),k4_robbins1(A,B,k3_robbins1(A,C))) = B ) ) ) )).
fof(t1_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,D,E)),B)),k3_robbins1(A,k1_lattices(A,k3_robbins1(A,C),k3_robbins1(A,k1_lattices(A,C,F)))))))) = C ) ) ) ) ) ) )).
fof(t1_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( ( v2_robbins3(A) & v1_robbins3(A) & v3_robbins3(A) & v9_lattices(A) ) => ( v5_sheffer1(A) & v7_robbins1(A) ) ) ) )).
fof(t1_robbins4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) => k3_lattice3(A) = k3_lattice3(B) ) ) ) )).
fof(t1_rolle,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( r1_tarski(k1_rcomp_1(A,B),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(A,B))) & k1_funct_1(C,A) = k1_funct_1(C,B) & r2_fdiff_1(C,k2_rcomp_1(A,B)) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,k2_rcomp_1(A,B)) & k1_fdiff_1(C,D) = k5_numbers ) ) ) ) ) ) ) )).
fof(t1_roughs_1,axiom,( ! [A] : ( r1_relset_1(A,A,k1_eqrel_1(A),k6_partfun1(A)) => v1_zfmisc_1(A) ) )).
fof(t1_roughs_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(B,k1_relat_1(u1_orders_2(A))) ) ) )).
fof(t1_roughs_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => B = a_2_0_roughs_4(A,B) ) )).
fof(t1_rpr_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ( ( v3_card_1(B,1) & m1_subset_1(B,k1_zfmisc_1(A)) ) <=> ! [C] : ( r1_tarski(C,B) <=> ( C = k1_xboole_0 | C = B ) ) ) ) ) )).
fof(t1_rsspace,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k2_rsspace(A),A) ) )).
fof(t1_rsspace2,axiom,( u1_struct_0(k10_rsspace) = k8_rsspace & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) <=> ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) & v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(A),k2_rsspace(A))) ) ) & k4_struct_0(k10_rsspace) = k3_rsspace & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) => A = k2_rsspace(A) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_rsspace)) => k3_rlvect_1(k10_rsspace,A,B) = k1_series_1(k1_numbers,k2_rsspace(A),k2_rsspace(B)) ) ) & ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_rsspace)) => k1_rlvect_1(k10_rsspace,B,A) = k26_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(B),A) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) => ( k4_algstr_0(k10_rsspace,A) = k32_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(A)) & r2_funct_2(k4_ordinal1,k1_numbers,k2_rsspace(k4_algstr_0(k10_rsspace,A)),k32_valued_1(k4_ordinal1,k1_numbers,k2_rsspace(A))) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_rsspace)) => k5_algstr_0(k10_rsspace,A,B) = k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(A),k2_rsspace(B)) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_rsspace)) => v1_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(A),k2_rsspace(B))) ) ) & ! [A] : ( m1_subset_1(A,u1_struct_0(k10_rsspace)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k10_rsspace)) => k1_bhsp_1(k10_rsspace,A,B) = k4_series_1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k2_rsspace(A),k2_rsspace(B))) ) ) )).
fof(t1_rsspace3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_funct_1(C,D) = k9_complex1(k6_xcmplx_0(k1_funct_1(B,D),A)) ) => ( v2_comseq_2(C) & k1_seq_2(C) = k9_complex1(k6_xcmplx_0(k1_seq_2(B),A)) ) ) ) ) ) ) )).
fof(t1_rsspace4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_comseq_2(A) & k2_seq_4(k2_relset_1(k1_numbers,k56_valued_1(k4_ordinal1,k1_numbers,A))) = k5_numbers ) <=> ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k5_numbers ) ) ) )).
fof(t1_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( ( r1_struct_0(B,D) & m1_rusub_1(B,C) ) => r1_struct_0(C,D) ) ) ) ) )).
fof(t1_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( r1_struct_0(k1_rusub_2(A,B,C),D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_struct_0(B,E) & r1_struct_0(C,F) & D = k3_rlvect_1(A,E,F) ) ) ) ) ) ) )).
fof(t1_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r1_struct_0(k1_rusub_3(A,B),C) <=> ? [D] : ( m2_rlvect_2(D,A,B) & C = k6_rlvect_2(A,D) ) ) ) ) )).
fof(t1_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_struct_0(k1_rusub_3(A,k4_subset_1(u1_struct_0(A),B,C)),D) & ~ r1_struct_0(k1_rusub_3(A,C),D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r1_struct_0(k1_rusub_3(A,k4_subset_1(u1_struct_0(A),k7_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),B,C),k6_domain_1(u1_struct_0(A),E)),k6_domain_1(u1_struct_0(A),D))),E) ) ) ) ) ) ) ) )).
fof(t1_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r1_rusub_5(A,B,B) ) ) )).
fof(t1_rvsum_1,axiom,( r3_binop_1(k1_numbers,k5_numbers,k9_binop_2) )).
fof(t1_rvsum_2,axiom,( r7_binop_1(k2_numbers,k2_rvsum_2,k5_binop_2) )).
fof(t1_rvsum_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k9_complex1(k6_xcmplx_0(C,D)),k9_complex1(k6_xcmplx_0(A,B))) & r1_xxreal_0(k1_square_1(k6_xcmplx_0(C,D)),k1_square_1(k6_xcmplx_0(A,B))) ) ) ) ) ) )).
fof(t1_scheme1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( A != k2_nat_1(2,B) & A != k1_nat_1(k2_nat_1(2,B),1) ) ) ) )).
fof(t1_scm_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( ( v5_memstr_0(F,k5_card_1(2),k1_ami_3,E) & m1_scm_1(F,k16_afinsq_1(A,B,C,D)) ) => ( k1_funct_1(F,k10_ami_3(k5_numbers)) = A & k1_funct_1(F,k10_ami_3(1)) = B & k1_funct_1(F,k10_ami_3(2)) = C & k1_funct_1(F,k10_ami_3(3)) = D ) ) ) ) ) ) ) )).
fof(t1_scm_comp,axiom,( ! [A] : ( m2_subset_1(A,u1_struct_0(k1_scm_comp),k7_dtconstr(k1_scm_comp)) => ~ ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,4) & A = k4_tarski(k5_numbers,B) ) ) ) )).
fof(t1_scm_inst,axiom,( r2_hidden(k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0),k3_scm_inst) )).
fof(t1_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) => ~ ( r2_tarski(A,k8_struct_0(k1_scmfsa_2)) & ~ ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) & ~ m1_scmfsa_2(A) ) ) )).
fof(t1_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ~ r2_tarski(k2_compos_1(k1_scmfsa_2),k10_xtuple_0(k1_scmfsa6a(A))) ) )).
fof(t1_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(A,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v6_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ( r1_tarski(B,C) => r1_extpro_1(k5_card_1(3),k1_scmfsa_2,C,A) ) ) ) ) )).
fof(t1_scmfsa6c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v1_scmfsa6b(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(D,E),B,C),A) = k1_funct_1(k1_scmfsa6b(E,k1_scmfsa6b(D,B,C),C),A) ) ) ) ) ) )).
fof(t1_scmfsa7b,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ( ( A = k2_compos_1(k1_scmfsa_2) => k1_funct_1(k1_scmfsa6a(k11_compos_1(k1_scmfsa_2,A)),k5_numbers) = k11_scmfsa_2(2) ) & ( A != k2_compos_1(k1_scmfsa_2) => k1_funct_1(k1_scmfsa6a(k11_compos_1(k1_scmfsa_2,A)),k5_numbers) = A ) ) ) )).
fof(t1_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r1_scmfsa8a(B,A,C) => ! [D] : ( v7_ordinal1(D) => ~ ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),k2_afinsq_1(C)) ) ) & r1_xxreal_0(k2_scmfsa8a(B,A,C),D) ) ) ) ) ) ) )).
fof(t1_scmfsa9a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => k3_sf_mastr(k17_funcop_1(A,B)) = k1_sf_mastr(B) ) ) )).
fof(t1_scmfsa_1,axiom,( r1_tarski(k1_ami_2,k1_scmfsa_1) )).
fof(t1_scmfsa_2,axiom,( k4_struct_0(k1_scmfsa_2) = k4_ordinal1 )).
fof(t1_scmfsa_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_compos_0(u1_compos_1(k1_scmfsa_2),k11_scmfsa_2(B),A) = k11_scmfsa_2(k2_xcmplx_0(B,A)) ) ) )).
fof(t1_scmfsa_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & ~ v2_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_finset_1(C) & v4_extpro_1(C,k5_card_1(3),k1_scmfsa_2,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_tarski(C,D) & r1_tarski(k9_memstr_0(k5_card_1(3),k1_scmfsa_2,C,A),E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & v1_partfun1(G,k4_ordinal1) ) => ( ( r1_tarski(B,F) & r1_tarski(k6_compos_1(k1_scmfsa_2,B,A),G) ) => ! [H] : ( v7_ordinal1(H) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),A) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) & k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H)),A) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,G,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) & k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,D,H),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) = k5_relat_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H),k9_xtuple_0(k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C))) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,F,k1_funct_4(D,k6_memstr_0(k5_card_1(3),k1_scmfsa_2,E)),H)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,G,E,H)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_scmfsa_7,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( v1_int_1(B) => k1_scmfsa_7(A,B) = k1_ordinal4(k2_scmfsa_7(A,B),k4_compos_1(k1_scmfsa_2)) ) ) )).
fof(t1_scmfsa_i,axiom,( r1_tarski(k3_scm_inst,k2_scmfsa_i) )).
fof(t1_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ~ ( r2_tarski(B,k9_xtuple_0(A)) & ~ ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) & ~ m1_scmfsa_2(B) & B != k4_struct_0(k1_scmfsa_2) ) ) )).
fof(t1_scmfsa_x,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k4_card_1(k1_scmfsa_x(B,A)) = k1_nat_1(k4_card_1(A),4) ) ) )).
fof(t1_scmp_gcd,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k2_scmpds_2(A,B) = k1_scmp_gcd(k2_xcmplx_0(A,B)) ) ) )).
fof(t1_scmpds_3,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,B) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) => k17_scmpds_2(B,A) = k17_scmpds_2(C,A) ) ) ) ) )).
fof(t1_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(k5_compos_0(u1_compos_1(k1_scmpds_2),A),k4_enumset1(k5_numbers,1,4,5,6,14)) | k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmpds_2,A,B),k4_struct_0(k1_scmpds_2)) = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,B),1) ) ) ) )).
fof(t1_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,A) = B => k17_scmpds_2(A,k6_xcmplx_0(C,B)) = C ) ) ) ) )).
fof(t1_scmpds_8,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmpds_2)) ) => ? [B] : ( v7_ordinal1(B) & A = k1_scmp_gcd(B) ) ) )).
fof(t1_scmpds_9,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ( k5_memstr_0(k5_card_1(2),k1_scmpds_2,C) = B => k1_funct_1(k2_extpro_1(k5_card_1(2),k1_scmpds_2,A,C),k4_struct_0(k1_scmpds_2)) = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,C),1) ) ) => k1_amistd_1(k5_card_1(2),k1_scmpds_2,B,A) = k1_tarski(k1_nat_1(B,1)) ) ) ) )).
fof(t1_scmpds_i,axiom,( ! [A] : ( v1_int_1(A) => r2_hidden(A,k2_xboole_0(k2_scm_inst,k4_numbers)) ) )).
fof(t1_scmring2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmring2(B))) ) <=> r2_tarski(A,k8_struct_0(k1_ami_3)) ) ) )).
fof(t1_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmring2(A))) ) => k4_memstr_0(k5_card_1(2),k1_scmring2(A),B) = u1_struct_0(A) ) ) )).
fof(t1_scmring4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => k2_scmring3(B,A) = k4_tarski(1,A) ) ) )).
fof(t1_scmringi,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k5_card_1(8)) => ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( m1_subset_1(C,k1_scmringi(B)) => ! [D] : ( m1_subset_1(D,k2_scm_inst) => ! [E] : ( m1_subset_1(E,k2_scm_inst) => ( C = k3_xtuple_0(A,k1_xboole_0,k2_finseq_4(k2_scm_inst,D,E)) => ( k2_scmringi(B,C) = D & k3_scmringi(B,C) = E ) ) ) ) ) ) ) )).
fof(t1_scmyciel,axiom,( ! [A] : ! [B] : ~ r2_hidden(k4_tarski(A,B),B) )).
fof(t1_scpinvar,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmpds_2)) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( k1_funct_1(k1_scmpds_4(k4_scmpds_4(A,B),C),k5_numbers) = A & k1_funct_1(k1_scmpds_4(k4_scmpds_4(A,B),C),1) = B ) ) ) ) )).
fof(t1_scpisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ? [D] : ( m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = B & ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(D)) ) => k1_funct_1(D,E) = k1_funct_1(A,k1_scmp_gcd(k2_xcmplx_0(C,E))) ) ) ) ) ) ) )).
fof(t1_scpqsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_scmpds_4(D) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmpds_2)) ) => ! [G] : ( v1_int_1(G) => ( ( r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,E),G)),k5_numbers) | k1_funct_1(k6_scmpds_4(k3_scmpds_6(E,G,C,D),B,A),F) = k1_funct_1(k6_scmpds_4(C,B,A),F) ) ) ) ) ) ) ) ) ) )).
fof(t1_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_analoaf(A,B,C,B,C) ) ) ) )).
fof(t1_seq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) <=> ( k9_xtuple_0(A) = k4_ordinal1 & ! [B] : ( r2_hidden(B,k4_ordinal1) => v1_xreal_0(k1_funct_1(A,B)) ) ) ) ) )).
fof(t1_seq_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( ~ r1_xxreal_0(A,k4_xcmplx_0(B)) & ~ r1_xxreal_0(B,A) ) <=> ~ r1_xxreal_0(B,k9_complex1(A)) ) ) ) )).
fof(t1_seq_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ~ ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(C,A) & r2_hidden(D,B) & r1_xxreal_0(D,C) ) ) ) & ! [C] : ( v1_xreal_0(C) => ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,A) & r2_hidden(E,B) & ~ ( r1_xxreal_0(D,C) & r1_xxreal_0(C,E) ) ) ) ) ) ) ) )).
fof(t1_seqfunc,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,B)))) ) <=> ( k9_xtuple_0(C) = k4_ordinal1 & ! [D] : ( v7_ordinal1(D) => ( v1_funct_1(k1_funct_1(C,D)) & m1_subset_1(k1_funct_1(C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) ) ) )).
fof(t1_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v5_valued_0(A) <=> ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,A,B)) ) ) ) ) ) )).
fof(t1_series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k2_power(A,k1_nat_1(C,1)) ) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(1,A) | ( v2_comseq_2(B) & k1_seq_2(B) = k5_numbers ) ) ) ) ) )).
fof(t1_series_2,axiom,( ! [A] : ( v7_ordinal1(A) => k9_complex1(k1_newton(k4_xcmplx_0(1),A)) = 1 ) )).
fof(t1_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,A) ) => ( r1_xxreal_0(C,B) | r1_xxreal_0(k7_xcmplx_0(B,C),k7_xcmplx_0(k2_xcmplx_0(B,A),k2_xcmplx_0(C,A))) ) ) ) ) ) )).
fof(t1_series_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_newton(k2_xcmplx_0(k2_xcmplx_0(A,B),C),2) = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,2),k1_newton(B,2)),k1_newton(C,2)),k3_xcmplx_0(k3_xcmplx_0(2,A),B)),k3_xcmplx_0(k3_xcmplx_0(2,A),C)),k3_xcmplx_0(k3_xcmplx_0(2,B),C)) ) ) ) )).
fof(t1_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => r1_xxreal_0(4,k3_xcmplx_0(k2_xcmplx_0(A,B),k2_xcmplx_0(k7_xcmplx_0(1,A),k7_xcmplx_0(1,B)))) ) ) )).
fof(t1_setfam_1,axiom,( k1_setfam_1(k1_xboole_0) = k1_xboole_0 )).
fof(t1_setlim_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => r2_tarski(k1_funct_1(D,k2_xcmplx_0(A,B)),a_3_0_setlim_1(A,C,D)) ) ) ) )).
fof(t1_setlim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => k8_nat_1(k9_setfam_1(B),k2_setlim_1(B,C),A) = k3_prob_1(B,k7_nat_1(k9_setfam_1(B),C,A)) ) ) )).
fof(t1_setwiseo,axiom,( ! [A] : ! [B] : ! [C] : r1_tarski(k1_tarski(A),k1_enumset1(A,B,C)) )).
fof(t1_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(E,B) & v2_binop_1(E,B) ) => ( C = D | k7_setwiseo(A,B,E,k3_setwiseo(A,C,D),F) = k4_binop_1(B,E,k3_funct_2(A,B,F,C),k3_funct_2(A,B,F,D)) ) ) ) ) ) ) ) ) )).
fof(t1_sf_mastr,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( k6_scmfsa_2(A,C) = k6_scmfsa_2(B,D) => ( A = B & C = D ) ) ) ) ) ) )).
fof(t1_sfmastr1,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ~ ( ~ r2_tarski(A,k3_sf_mastr(B)) & r4_scmfsa7b(B,A) ) ) ) )).
fof(t1_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( r5_scmfsa7b(D,k1_scmfsa_m(A),B) => ( r2_tarski(C,k3_sf_mastr(D)) | k1_funct_1(k1_scmfsa6b(D,A,B),C) = k1_funct_1(k1_scmfsa_m(A),C) ) ) ) ) ) ) )).
fof(t1_sgraph1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( r2_tarski(C,k1_sgraph1(A,B)) <=> ? [D] : ( v7_ordinal1(D) & C = D & r1_xxreal_0(A,D) & r1_xxreal_0(D,B) ) ) ) ) )).
fof(t1_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k5_robbins1(A,B,C)) = k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)) ) ) ) )).
fof(t1_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,B,k5_sheffer1(A,C,D)))),k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,B,D),D)),k5_sheffer1(A,E,k5_sheffer1(A,B,k5_sheffer1(A,C,D))))) = k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,B,D),D)) ) ) ) ) ) )).
fof(t1_simplex0,axiom,( ! [A] : ( v1_classes1(A) <=> ! [B] : ( r2_tarski(B,A) => r1_tarski(k9_setfam_1(B),A) ) ) )).
fof(t1_simplex1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_card_1(C) => ( ! [D] : ( r2_hidden(D,A) => k1_card_1(k9_relat_1(B,D)) = C ) => k1_card_1(B) = k1_card_2(k1_card_1(k5_relat_1(B,k6_subset_1(k9_xtuple_0(B),A))),k2_card_2(C,k1_card_1(A))) ) ) ) )).
fof(t1_simplex2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_tops_2(B,k3_pcomps_1(A)) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) => ! [C] : ( ( v1_tops_2(C,k3_pcomps_1(A)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A))))) ) => ! [D] : ( m1_simplex2(D,A,B) => ( ( v1_compts_1(k3_pcomps_1(A)) & m1_setfam_1(B,u1_struct_0(k3_pcomps_1(A))) & r1_tarski(B,C) ) => m1_simplex2(D,A,C) ) ) ) ) ) )).
fof(t1_sin_cos,axiom,( ! [A] : ( v7_ordinal1(A) => ( k2_newton(k5_numbers) = 1 & k2_newton(A) != k5_numbers & k2_newton(k1_nat_1(A,1)) = k3_xcmplx_0(k2_newton(A),k1_nat_1(A,1)) ) ) )).
fof(t1_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) ) => r1_xxreal_0(k3_xcmplx_0(2,k3_square_1(k3_xcmplx_0(A,B))),k2_xcmplx_0(A,B)) ) ) ) )).
fof(t1_sin_cos3,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => k2_xcmplx_0(k3_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,A),k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,A)),k3_xcmplx_0(k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,A),k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,A))) = 1 ) )).
fof(t1_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => k1_sin_cos4(k4_xcmplx_0(A)) = k4_xcmplx_0(k1_sin_cos4(A)) ) )).
fof(t1_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => ( k19_sin_cos(A) != k5_numbers => k3_sin_cos4(A) = k7_xcmplx_0(k4_sin_cos4(A),k1_sin_cos4(A)) ) ) )).
fof(t1_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k5_numbers,A) => ( r1_xxreal_0(B,A) | k1_int_1(k7_xcmplx_0(A,B)) = k5_numbers ) ) ) ) )).
fof(t1_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(A,k5_numbers) => k7_xcmplx_0(1,A) = k2_power(A,k4_xcmplx_0(1)) ) ) )).
fof(t1_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( k6_sin_cos2(A) = k7_xcmplx_0(k2_sin_cos2(A),k4_sin_cos2(A)) & k6_sin_cos2(k5_numbers) = k5_numbers ) ) )).
fof(t1_sin_cos9,axiom,( r1_tarski(k2_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)),k1_relset_1(k1_numbers,k26_sin_cos)) )).
fof(t1_sincos10,axiom,( r1_tarski(k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)),k1_relset_1(k1_numbers,k1_fdiff_9)) )).
fof(t1_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) => r1_xxreal_0(A,k6_xcmplx_0(B,1)) ) ) ) )).
fof(t1_sppol_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k19_euclid(A,B) = k19_euclid(C,D) => ( A = C & B = D ) ) ) ) ) ) )).
fof(t1_sprect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v3_funct_1(k7_finseq_1(A,B)) => ( v3_funct_1(A) & v3_funct_1(B) ) ) ) ) )).
fof(t1_sprect_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m2_finseq_1(E,D) => ( ( r1_xxreal_0(A,B) & r2_tarski(A,k4_finseq_1(E)) & r2_tarski(B,k4_finseq_1(E)) & r2_tarski(C,k4_finseq_1(k3_finseq_6(D,E,A,B))) ) => r2_tarski(k7_nat_d(k2_xcmplx_0(C,A),1),k4_finseq_1(E)) ) ) ) ) ) ) )).
fof(t1_sprect_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m2_finseq_1(B,A) ) => ! [C] : ( m2_finseq_1(C,A) => k7_partfun1(A,k8_finseq_1(A,C,B),k3_finseq_1(k8_finseq_1(A,C,B))) = k7_partfun1(A,B,k3_finseq_1(B)) ) ) ) )).
fof(t1_sprect_4,axiom,( ! [A] : ( ( v4_topreal1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( v4_pre_topc(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( ~ r1_xboole_0(k3_topreal1(2,A),B) & ~ r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),B) & k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k3_jordan3(A,k1_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))))),B) != k1_tarski(k1_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)))) ) ) ) )).
fof(t1_sprect_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k10_xtuple_0(k17_finseq_1(A,k4_finseq_4(B,C),B))) => r1_xxreal_0(k4_finseq_4(B,D),k4_finseq_4(B,C)) ) ) ) ) ) )).
fof(t1_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_xcmplx_0(k3_xxreal_0(A,B),k4_xxreal_0(A,B)) = k2_xcmplx_0(A,B) ) ) )).
fof(t1_srings_1,axiom,( ! [A] : ! [B] : k6_subset_1(k2_xboole_0(A,B),k6_subset_1(B,A)) = A )).
fof(t1_srings_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => a_4_0_srings_2(A,B,C,D) = a_4_1_srings_2(A,B,C,D) ) ) )).
fof(t1_stacks_1,axiom,( ! [A] : ( v7_ordinal1(A) => k2_finseq_3(A,k1_xboole_0) = k1_xboole_0 ) )).
fof(t1_stirl2_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) ) => k4_seq_4(A) = k3_nat_1(A) ) )).
fof(t1_struct_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k8_struct_0(A)) <=> ~ v9_struct_0(B,A) ) ) ) )).
fof(t1_sublemma,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( r1_tarski(k9_xtuple_0(D),k9_xtuple_0(C)) & r1_tarski(k9_xtuple_0(E),k9_xtuple_0(C)) ) => k1_funct_4(k1_funct_4(A,B),C) = k1_funct_4(k1_funct_4(k1_funct_4(A,D),k1_funct_4(B,E)),C) ) ) ) ) ) ) )).
fof(t1_subset,axiom,( ! [A] : ! [B] : ( r2_tarski(A,B) => m1_subset_1(A,B) ) )).
fof(t1_subset_1,axiom,( ! [A] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)) )).
fof(t1_substlat,axiom,( ! [A] : ! [B] : r2_tarski(k1_xboole_0,k1_substlat(A,B)) )).
fof(t1_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_substut1(A)) => ( r2_hidden(B,k9_xtuple_0(C)) => r2_tarski(k1_funct_1(C,B),k3_qc_lang1(A)) ) ) ) )).
fof(t1_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_substut1(A)) => ? [C] : ( m2_subset_1(C,k16_substut1(A),k38_substut1(A)) & k2_sublemma(A,C) = k5_cqc_lang(A) & k19_substut1(A,C) = B ) ) ) )).
fof(t1_supinf_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ( r1_tarski(A,B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,k3_supinf_1(B)) => r2_hidden(C,k3_supinf_1(A)) ) ) ) ) ) )).
fof(t1_supinf_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( A = C & B = D ) => k1_xxreal_3(A,B) = k2_xcmplx_0(C,D) ) ) ) ) ) )).
fof(t1_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => r1_orders_2(B,k4_struct_0(B),C) ) ) ) )).
fof(t1_sysrel,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_tarski(k9_xtuple_0(k3_xboole_0(C,k2_zfmisc_1(A,B))),A) & r1_tarski(k10_xtuple_0(k3_xboole_0(C,k2_zfmisc_1(A,B))),B) ) ) )).
fof(t1_t_0topsp,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( ( r2_tarski(E,D) & k3_funct_2(A,B,C,E) = k3_funct_2(A,B,C,F) ) => r2_tarski(F,D) ) ) ) => k8_relset_1(A,B,C,k7_relset_1(A,B,C,D)) = D ) ) ) ) ) )).
fof(t1_t_1topsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_borsuk_1(A,B)))) => k8_relset_1(u1_struct_0(A),u1_struct_0(k11_borsuk_1(A,B)),k12_borsuk_1(A,B),C) = k3_tarski(C) ) ) ) )).
fof(t1_tarski_a,axiom,( ! [A] : ? [B] : ( r2_tarski(A,B) & ! [C] : ! [D] : ( ( r2_tarski(C,B) & r1_tarski(D,C) ) => r2_tarski(D,B) ) & ! [C] : ~ ( r2_tarski(C,B) & ! [D] : ~ ( r2_tarski(D,B) & ! [E] : ( r1_tarski(E,C) => r2_tarski(E,D) ) ) ) & ! [C] : ~ ( r1_tarski(C,B) & ~ r3_tarski(C,B) & ~ r2_tarski(C,B) ) ) )).
fof(t1_taxonom1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(k1_nat_1(B,1),k4_finseq_1(A)) => ( r2_tarski(B,k4_finseq_1(A)) | B = k5_numbers ) ) ) ) )).
fof(t1_taxonom2,axiom,( ! [A] : ( ~ v2_struct_0(k1_yellow_1(k1_tarski(k1_tarski(A)))) & v3_orders_2(k1_yellow_1(k1_tarski(k1_tarski(A)))) & v4_orders_2(k1_yellow_1(k1_tarski(k1_tarski(A)))) & v5_orders_2(k1_yellow_1(k1_tarski(k1_tarski(A)))) & v1_taxonom2(k1_yellow_1(k1_tarski(k1_tarski(A)))) & v2_taxonom2(k1_yellow_1(k1_tarski(k1_tarski(A)))) ) )).
fof(t1_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k3_prepower(A,k2_xcmplx_0(C,B)) = k3_xcmplx_0(k3_prepower(A,C),k3_prepower(A,B)) ) ) ) )).
fof(t1_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => k9_complex1(k1_newton(A,B)) = k1_newton(k9_complex1(A),B) ) ) )).
fof(t1_tbsp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ? [B] : ( v7_ordinal1(B) & ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(B,C) & ~ r1_xxreal_0(k2_power(A,C),k2_power(A,B)) ) ) ) ) )).
fof(t1_tdgroup,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_vectsp_1)) => ? [B] : ( m1_subset_1(B,u1_struct_0(k1_vectsp_1)) & k3_rlvect_1(k1_vectsp_1,B,B) = A ) ) )).
fof(t1_tdlat_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( k4_subset_1(u1_struct_0(A),B,C) = k2_struct_0(A) <=> r1_tarski(k3_subset_1(u1_struct_0(A),B),C) ) ) ) ) )).
fof(t1_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,B))),k1_tops_1(A,k2_pre_topc(A,B))) & r1_tarski(k1_tops_1(A,k2_pre_topc(A,k1_tops_1(A,B))),k2_pre_topc(A,k1_tops_1(A,B))) ) ) ) )).
fof(t1_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A,B) = k3_subset_1(u1_struct_0(A),k1_tops_1(A,k3_subset_1(u1_struct_0(A),B))) ) ) )).
fof(t1_termord,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r3_pre_poly(A,B,C) <=> ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) & r6_pboole(A,C,k11_pre_poly(A,B,D)) ) ) ) ) )).
fof(t1_tex_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_tmap_1(A,B)))) => ( ( C = D & v3_pre_topc(C,A) ) => v3_pre_topc(D,k6_tmap_1(A,B)) ) ) ) ) ) )).
fof(t1_tex_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_card_1(B,1) => ( r1_tarski(A,B) => A = B ) ) ) )).
fof(t1_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_2(A,B,C) => ( ~ v1_xboole_0(B) <=> v1_subset_1(C,u1_struct_0(A)) ) ) ) ) ) )).
fof(t1_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A,B) = k1_setfam_1(a_2_0_tex_4(A,B)) ) ) )).
fof(t1_tietze,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k9_complex1(k6_xcmplx_0(A,B)),C) => ( r1_xxreal_0(k6_xcmplx_0(B,C),A) & r1_xxreal_0(A,k2_xcmplx_0(B,C)) ) ) ) ) ) )).
fof(t1_tietze_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => ! [D] : ! [E] : ( ( v5_relat_1(C,k1_funct_2(A,B)) | r2_hidden(E,k9_xtuple_0(k5_funct_6(C))) ) => k1_funct_1(k1_funct_1(C,D),E) = k1_funct_1(k1_funct_1(k5_funct_6(C),E),D) ) ) )).
fof(t1_tmap_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( r1_subset_1(C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,B))) ) => ( k2_partfun1(C,B,E,k9_subset_1(A,C,D)) = k2_partfun1(D,B,F,k9_subset_1(A,C,D)) & k2_partfun1(k4_subset_1(A,C,D),B,k1_tmap_1(A,B,C,D,E,F),C) = E & k2_partfun1(k4_subset_1(A,C,D),B,k1_tmap_1(A,B,C,D,E,F),D) = F ) ) ) ) ) ) ) ) )).
fof(t1_toler_1,axiom,( ! [A] : k2_relset_1(A,k1_eqrel_1(A)) = A )).
fof(t1_topalg_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( ( r2_relset_1(A,A,k1_partfun1(A,B,B,A,C,D),k6_partfun1(A)) & r2_relset_1(B,B,k1_partfun1(B,A,A,B,D,C),k6_partfun1(B)) ) => v3_funct_2(D,B,A) ) ) ) )).
fof(t1_topalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,B,E,F) => ( ( C = E & D = F & r1_borsuk_6(B,E,F) ) => m1_borsuk_2(G,A,C,D) ) ) ) ) ) ) ) ) )).
fof(t1_topalg_3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( r2_tarski(C,A) & r2_tarski(D,B) ) => ( v1_funct_1(k1_funct_4(E,k17_funcop_1(C,D))) & v1_funct_2(k1_funct_4(E,k17_funcop_1(C,D)),A,B) & m1_subset_1(k1_funct_4(E,k17_funcop_1(C,D)),k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ) ) )).
fof(t1_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(A,B)))) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = k5_group_7(A,B,D,E) ) ) ) ) ) )).
fof(t1_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_topmetr(B,C))) => ~ ( k8_metric_1(k2_topmetr(B,C),D,A) != k1_rcomp_1(B,C) & k8_metric_1(k2_topmetr(B,C),D,A) != k3_rcomp_1(B,k2_xcmplx_0(D,A)) & k8_metric_1(k2_topmetr(B,C),D,A) != k4_rcomp_1(k6_xcmplx_0(D,A),C) & k8_metric_1(k2_topmetr(B,C),D,A) != k2_rcomp_1(k6_xcmplx_0(D,A),k2_xcmplx_0(D,A)) ) ) ) ) ) ) )).
fof(t1_topalg_6,axiom,( r2_funct_2(u1_struct_0(k4_topmetr(k5_numbers,1)),u1_struct_0(k4_topmetr(k5_numbers,1)),k1_borsuk_6(k5_numbers,1,k5_numbers,1),k3_struct_0(k4_topmetr(k5_numbers,1))) )).
fof(t1_topalg_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_funct_2(A,u1_struct_0(B),k2_topalg_7(A,B,k2_topalg_7(A,B,C,D),E),k2_topalg_7(A,B,C,k2_topalg_7(A,B,D,E))) ) ) ) ) ) )).
fof(t1_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ( D = k9_subset_1(u1_struct_0(A),C,B) => r1_tarski(k2_tops_1(k1_pre_topc(A,B),D),k9_subset_1(u1_struct_0(A),k2_tops_1(A,C),B)) ) ) ) ) ) )).
fof(t1_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) => ( r1_xxreal_0(k1_topdim_2(B,C),A) => v1_topdim_2(C,B) ) ) ) )).
fof(t1_topgen_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ~ ( ~ r1_xboole_0(B,k3_subset_1(u1_struct_0(A),C)) & k7_subset_1(u1_struct_0(A),B,C) = k1_xboole_0 ) & ~ ( k7_subset_1(u1_struct_0(A),B,C) != k1_xboole_0 & r1_xboole_0(B,k3_subset_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(t1_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_tops_2(a_3_0_topgen_2(A,B,C),A) & v1_yellow_8(a_3_0_topgen_2(A,B,C),A,C) & m1_subset_1(a_3_0_topgen_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(t1_topgen_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) <=> ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,B) & r2_tarski(C,D) ) ) ) ) ) )).
fof(t1_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v4_card_3(B) <=> v4_card_3(k7_setfam_1(A,B)) ) ) )).
fof(t1_topgen_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_partfun1(A,B) => ! [C] : k8_relat_1(k1_funct_4(A,B),C) = k2_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) ) ) ) )).
fof(t1_topgen_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(A,k2_rcomp_1(B,C)) & ! [D] : ( v1_rat_1(D) => ! [E] : ( v1_rat_1(E) => ~ ( r2_hidden(A,k2_rcomp_1(D,E)) & r1_tarski(k2_rcomp_1(D,E),k2_rcomp_1(B,C)) ) ) ) ) ) ) ) )).
fof(t1_topgrp_1,axiom,( ! [A] : ( l1_struct_0(A) => k2_relset_1(u1_struct_0(A),k3_struct_0(A)) = k2_struct_0(A) ) )).
fof(t1_topmetr,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( m1_setfam_1(B,u1_struct_0(A)) <=> r1_tarski(u1_struct_0(A),k3_tarski(B)) ) ) ) )).
fof(t1_topmetr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v2_funct_1(A) & v2_funct_1(B) & ! [C] : ! [D] : ~ ( r2_tarski(C,k9_xtuple_0(B)) & r2_tarski(D,k6_subset_1(k9_xtuple_0(A),k9_xtuple_0(B))) & k1_funct_1(B,C) = k1_funct_1(A,D) ) ) => v2_funct_1(k1_funct_4(A,B)) ) ) ) )).
fof(t1_topmetr3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( ( v2_tbsp_1(B,A) & ! [D] : ( v7_ordinal1(D) => r2_tarski(k8_nat_1(u1_struct_0(A),B,D),C) ) & v4_pre_topc(C,k3_pcomps_1(A)) ) => r2_tarski(k1_tbsp_1(A,B),C) ) ) ) ) )).
fof(t1_topreal1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_topreal1(A,C,D,B) => ( r2_tarski(C,B) & r2_tarski(D,B) ) ) ) ) ) ) )).
fof(t1_topreal2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( A != B & r2_tarski(A,k1_topreal1) & r2_tarski(B,k1_topreal1) & ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),A,B,C) & r1_topreal1(k15_euclid(2),A,B,D) & k1_topreal1 = k4_subset_1(u1_struct_0(k15_euclid(2)),C,D) & k9_subset_1(u1_struct_0(k15_euclid(2)),C,D) = k2_tarski(A,B) ) ) ) ) ) ) )).
fof(t1_topreal3,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(1,k4_finseq_1(k11_finseq_1(A,B,C))) & r2_tarski(2,k4_finseq_1(k11_finseq_1(A,B,C))) & r2_tarski(3,k4_finseq_1(k11_finseq_1(A,B,C))) ) )).
fof(t1_topreal4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal4(A,B,C) => v5_topreal1(A) ) ) ) ) )).
fof(t1_topreal5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(C,A) & v3_pre_topc(D,A) & ~ r1_xboole_0(C,B) & ~ r1_xboole_0(D,B) & r1_tarski(B,k4_subset_1(u1_struct_0(A),C,D)) & r1_xboole_0(C,D) & v2_connsp_1(B,A) ) ) ) ) ) )).
fof(t1_topreal7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => r1_xxreal_0(k4_xxreal_0(k2_xcmplx_0(A,C),k2_xcmplx_0(B,D)),k2_xcmplx_0(k4_xxreal_0(A,B),k4_xxreal_0(C,D))) ) ) ) ) )).
fof(t1_topreal8,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(A,k2_tarski(B,C)) & r2_tarski(B,A) ) => ( r2_tarski(C,A) | A = k1_tarski(B) ) ) )).
fof(t1_topreala,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(k1_funct_1(A,B),k7_relat_1(A,C)) & v2_funct_1(A) ) => r2_tarski(B,C) ) ) )).
fof(t1_toprealb,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(A,C),B)) = k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(A,B),k16_sin_cos),C) ) ) ) )).
fof(t1_toprealc,axiom,( ! [A] : ( v1_zfmisc_1(A) => ! [B] : ( r3_tarski(A,B) => v1_zfmisc_1(B) ) ) )).
fof(t1_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) <=> ( k9_xtuple_0(B) = k4_ordinal1 & ! [C] : ( v7_ordinal1(C) => m1_subset_1(k1_funct_1(B,C),u1_struct_0(k15_euclid(A))) ) ) ) ) ) )).
fof(t1_tops_1,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( k3_subset_1(u1_struct_0(A),B) = k3_subset_1(u1_struct_0(A),C) => B = C ) ) ) ) )).
fof(t1_tops_2,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(B,k9_setfam_1(k2_struct_0(A))) ) ) )).
fof(t1_tops_3,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( B = k1_struct_0(A) => k3_subset_1(u1_struct_0(A),B) = k2_struct_0(A) ) & ( k3_subset_1(u1_struct_0(A),B) = k2_struct_0(A) => B = k1_struct_0(A) ) & ( B = k1_xboole_0 => k3_subset_1(u1_struct_0(A),B) = u1_struct_0(A) ) & ( k3_subset_1(u1_struct_0(A),B) = u1_struct_0(A) => B = k1_xboole_0 ) ) ) ) )).
fof(t1_tops_4,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(D),u1_pre_topc(D)) & E = F & v1_t_0topsp(E,A,C) ) => v1_t_0topsp(F,B,D) ) ) ) ) ) ) ) )).
fof(t1_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [D] : ( m1_subset_1(D,A) & k3_funct_2(A,A,C,D) = B ) ) ) ) )).
fof(t1_translac,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_aff_1(A,B,C,D) & B != C & B != D & C != D ) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r1_aff_1(A,B,C,D) & B != D & C != D ) ) ) ) ) )).
fof(t1_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( C = k1_rcomp_1(A,B) => v4_pre_topc(C,k3_topmetr) ) ) ) ) )).
fof(t1_trees_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( r1_tarski(A,B) <=> ? [C] : ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & B = k7_finseq_1(A,C) ) ) ) ) )).
fof(t1_trees_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r1_tarski(A,C) & r1_tarski(B,C) ) => r3_xboole_0(A,B) ) ) ) ) )).
fof(t1_trees_3,axiom,( ! [A] : ( v1_trees_3(A) <=> r1_tarski(A,k1_trees_3) ) )).
fof(t1_trees_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k2_trees_1(A),k2_trees_1(B)) => r1_xxreal_0(A,B) ) ) ) )).
fof(t1_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => k5_trees_2(A,k6_finseq_1(k4_ordinal1)) = A ) )).
fof(t1_trees_a,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ( k7_finseq_1(A,B) = k7_finseq_1(D,C) => r3_xboole_0(A,D) ) ) ) ) ) )).
fof(t1_triang_1,axiom,( ! [A] : k2_wellord1(k1_xboole_0,A) = k1_xboole_0 )).
fof(t1_tsep_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))) ) ) )).
fof(t1_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k7_subset_1(u1_struct_0(A),k3_subset_1(u1_struct_0(A),B),k3_subset_1(u1_struct_0(A),C)) = k7_subset_1(u1_struct_0(A),C,B) ) ) ) )).
fof(t1_tsp_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v3_pre_topc(D,B) & D = k8_subset_1(u1_struct_0(A),C,u1_struct_0(B)) ) ) ) ) ) ) )).
fof(t1_tsp_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & C = D & v1_tsp_2(C,A) ) => v1_tsp_2(D,B) ) ) ) ) ) )).
fof(t1_turing_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k3_turing_1(A)) <=> r1_xxreal_0(B,A) ) ) ) )).
fof(t1_twoscomp,axiom,( ! [A] : ( m1_subset_1(A,k5_margrel1) => ! [B] : ( m1_subset_1(B,k5_margrel1) => ( k1_funct_1(k3_facirc_1,k10_finseq_1(A,B)) = k9_margrel1(A,B) & k1_funct_1(k2_twoscomp,k10_finseq_1(A,B)) = k9_margrel1(k8_margrel1(A),B) & k1_funct_1(k6_twoscomp,k10_finseq_1(A,B)) = k9_margrel1(k8_margrel1(A),k8_margrel1(B)) ) ) ) )).
fof(t1_unialg_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r2_tarski(A,k4_finseq_1(u1_unialg_1(B))) => ( v1_funct_1(k1_funct_1(u1_unialg_1(B),A)) & m1_subset_1(k1_funct_1(u1_unialg_1(B),A),k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(B)),u1_struct_0(B)))) ) ) ) ) )).
fof(t1_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( r1_unialg_2(A,B) => k3_finseq_1(u1_unialg_1(A)) = k3_finseq_1(u1_unialg_1(B)) ) ) ) )).
fof(t1_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( r2_hidden(B,k1_unialg_3(A)) <=> ? [C] : ( v1_unialg_1(C) & m1_unialg_2(C,A) & B = C ) ) ) )).
fof(t1_uniform1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(A,k7_xcmplx_0(1,B)) ) ) ) ) )).
fof(t1_uniroots,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( r1_xxreal_0(1,k3_finseq_1(A)) => k5_relat_1(A,k2_finseq_1(1)) = k9_finseq_1(k1_funct_1(A,1)) ) ) )).
fof(t1_uproots,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( r2_tarski(B,k4_finseq_1(A)) & k1_recdef_1(A,B) = k5_numbers ) ) => ( k1_wsierp_1(A) = k3_finseq_1(A) <=> A = k5_finseq_2(k4_ordinal1,k3_finseq_1(A),1) ) ) ) )).
fof(t1_urysohn1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k1_urysohn1(A)) => ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(B,1) ) ) ) ) )).
fof(t1_urysohn2,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( v1_xreal_0(B) => ( B != k5_numbers => k1_integra2(k1_integra2(A,B),k5_xcmplx_0(B)) = A ) ) ) )).
fof(t1_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,C) => ( B = k1_xboole_0 | ! [D] : ( v7_ordinal1(D) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_urysohn1(D),k9_setfam_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A))))) & r1_tarski(B,k1_funct_1(E,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(E,1)) & ! [F] : ( m2_subset_1(F,k1_numbers,k1_urysohn1(D)) => ! [G] : ( m2_subset_1(G,k1_numbers,k1_urysohn1(D)) => ( ~ r1_xxreal_0(G,F) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,F),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,G),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,F)),k3_funct_2(k1_urysohn1(D),k9_setfam_1(u1_struct_0(A)),E,G)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_valuat_1(A,B)) => ( v1_funct_1(C) & v1_funct_2(C,k3_qc_lang1(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A),B))) ) ) ) ) )).
fof(t1_valued_0,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( ( v1_relat_1(B) & v1_valued_0(B) ) => ( r1_tarski(A,B) => v1_valued_0(A) ) ) ) )).
fof(t1_valued_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_membered(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_membered(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [F] : ( m1_subset_1(F,A) => k1_funct_1(k2_valued_1(A,B,C,D,E),F) = k2_xcmplx_0(k1_funct_1(D,F),k1_funct_1(E,F)) ) ) ) ) ) )).
fof(t1_valued_2,axiom,( ! [A] : m1_subset_1(k3_valued_2(A),k1_zfmisc_1(k2_valued_2(A))) )).
fof(t1_vectmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ( v1_vectmetr(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m2_finseq_1(E,u1_struct_0(A)) => ~ ( k7_partfun1(u1_struct_0(A),E,1) = B & k7_partfun1(u1_struct_0(A),E,k3_finseq_1(E)) = C & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r1_xxreal_0(1,F) & r1_xxreal_0(F,k6_xcmplx_0(k3_finseq_1(E),1)) & r1_xxreal_0(D,k3_metric_1(A,k7_partfun1(u1_struct_0(A),E,F),k7_partfun1(u1_struct_0(A),E,k1_nat_1(F,1)))) ) ) & ! [F] : ( m2_finseq_1(F,k1_numbers) => ( ( k3_finseq_1(F) = k6_xcmplx_0(k3_finseq_1(E),1) & ! [G] : ( m1_subset_1(G,k4_ordinal1) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,k3_finseq_1(F)) ) => k7_partfun1(k1_numbers,F,G) = k3_metric_1(A,k7_partfun1(u1_struct_0(A),E,G),k7_partfun1(u1_struct_0(A),E,k1_nat_1(G,1))) ) ) ) => k3_metric_1(A,B,C) = k18_rvsum_1(F) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( k3_vectsp_1(A,C,k4_struct_0(A),D) = k4_struct_0(C) & k3_vectsp_1(A,C,B,k4_struct_0(C)) = k4_struct_0(C) ) ) ) ) ) )).
fof(t1_vectsp11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(C))) ) => ! [E] : ( ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(C))) ) => ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(B,k4_ordinal1)) => ! [G] : ( m2_finseq_2(G,k4_ordinal1,k4_finseq_2(A,k4_ordinal1)) => ( r1_tarski(k2_zfmisc_1(k10_xtuple_0(F),k10_xtuple_0(G)),k2_matrix_0(D)) => k1_matrix13(u1_struct_0(C),k3_matrix_3(C,D,E),B,A,F,G) = k5_matrlin2(B,A,C,k1_matrix13(u1_struct_0(C),D,B,A,F,G),k1_matrix13(u1_struct_0(C),E,B,A,F,G)) ) ) ) ) ) ) ) ) )).
fof(t1_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) ) )).
fof(t1_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_vectsp_4(C,A,B) => ( C = k1_xboole_0 | r2_tarski(k4_struct_0(B),C) ) ) ) ) ) )).
fof(t1_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( r1_struct_0(k1_vectsp_5(A,B,C,D),E) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & ? [G] : ( m1_subset_1(G,u1_struct_0(B)) & r1_struct_0(C,F) & r1_struct_0(D,G) & E = k3_rlvect_1(B,F,G) ) ) ) ) ) ) ) )).
fof(t1_vectsp_6,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_vectsp_6(D,B,C) => ( r2_tarski(A,k1_vectsp_6(B,C,D)) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(C)) & A = E & k3_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k4_struct_0(B) ) ) ) ) ) )).
fof(t1_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_tarski(C,D) & v1_vectsp_7(D,A,B) ) => v1_vectsp_7(C,A,B) ) ) ) ) ) )).
fof(t1_vectsp_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_vectsp_8(A,B))) ) => ~ v1_xboole_0(k7_relset_1(k2_vectsp_8(A,B),k9_setfam_1(u1_struct_0(B)),k4_vectsp_8(A,B),C)) ) ) ) )).
fof(t1_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k4_finseq_1(D),k4_finseq_1(D)) & v3_funct_2(F,k4_finseq_1(D),k4_finseq_1(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(D),k4_finseq_1(D)))) ) => ( E = k1_partfun1(k4_finseq_1(D),k4_finseq_1(D),k4_ordinal1,u1_struct_0(B),F,D) => k4_rlvect_1(B,k3_vectsp_6(A,B,D,C)) = k4_rlvect_1(B,k3_vectsp_6(A,B,E,C)) ) ) ) ) ) ) ) )).
fof(t1_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k7_subset_1(A,k1_relset_1(A,k3_vfunct_1(A,B,D,C)),k8_relset_1(A,u1_struct_0(B),k3_vfunct_1(A,B,D,C),k1_tarski(k4_struct_0(B)))) = k9_subset_1(A,k7_subset_1(A,k1_relset_1(A,D),k8_relset_1(A,k1_numbers,D,k1_tarski(k5_numbers))),k7_subset_1(A,k1_relset_1(A,C),k8_relset_1(A,u1_struct_0(B),C,k1_tarski(k4_struct_0(B))))) ) ) ) ) )).
fof(t1_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k7_subset_1(A,k1_relset_1(A,k1_vfunct_2(A,B,C,D)),k8_relset_1(A,u1_struct_0(B),k1_vfunct_2(A,B,C,D),k1_tarski(k4_struct_0(B)))) = k9_subset_1(A,k7_subset_1(A,k1_relset_1(A,C),k8_relset_1(A,k2_numbers,C,k1_tarski(k5_numbers))),k7_subset_1(A,k1_relset_1(A,D),k8_relset_1(A,u1_struct_0(B),D,k1_tarski(k4_struct_0(B))))) ) ) ) ) )).
fof(t1_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( D = u1_struct_0(B) => k2_vsdiff_1(A,B,C,D) = D ) ) ) ) ) )).
fof(t1_waybel10,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( ( r1_tarski(A,B) => r1_tarski(k2_relat_1(A),k2_relat_1(B)) ) & ( r1_tarski(k2_relat_1(A),k2_relat_1(B)) => r1_tarski(A,B) ) & ( r1_tarski(k2_relat_1(A),B) => r1_tarski(A,k2_relat_1(B)) ) & ( r1_tarski(A,k2_relat_1(B)) => r1_tarski(k2_relat_1(A),B) ) ) ) ) )).
fof(t1_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r4_yellow_4(A,B,C) => r3_orders_2(A,k2_yellow_0(A,B),k2_yellow_0(A,C)) ) ) ) ) )).
fof(t1_waybel12,axiom,( ! [A] : ! [B] : ( ( r1_ordinal1(k1_card_1(A),k1_card_1(B)) & v4_card_3(B) ) => v4_card_3(A) ) )).
fof(t1_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => r1_tarski(k2_waybel_8(A,B),k2_waybel_8(A,C)) ) ) ) ) )).
fof(t1_waybel14,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & r1_tarski(C,B) & k5_setfam_1(A,C) = k5_setfam_1(A,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_tarski(D,C) & r1_tarski(D,k5_setfam_1(A,k7_subset_1(k1_zfmisc_1(A),C,k6_domain_1(k1_zfmisc_1(A),D)))) ) ) ) ) )).
fof(t1_waybel15,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ! [C] : ( ( v4_yellow_0(C,B) & m1_yellow_0(C,B) ) => ( v4_yellow_0(C,A) & m1_yellow_0(C,A) ) ) ) ) )).
fof(t1_waybel16,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_yellow_0(A,k9_subset_1(u1_struct_0(A),k6_waybel_0(A,B),k6_waybel_0(A,C))) = k13_lattice3(A,B,C) ) ) ) )).
fof(t1_waybel17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v12_waybel_0(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( v5_orders_3(C,A,B) => v12_waybel_0(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),A) ) ) ) ) ) )).
fof(t1_waybel18,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( C = k7_subset_1(k1_zfmisc_1(A),B,k1_tarski(k1_xboole_0)) | B = k2_xboole_0(C,k1_tarski(k1_xboole_0)) ) => k1_cantor_1(A,B) = k1_cantor_1(A,C) ) ) ) )).
fof(t1_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ? [B] : ( v2_pre_topc(B) & v1_waybel_9(B) & m1_yellow_9(B,A) & v1_waybel19(B) ) ) )).
fof(t1_waybel20,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_partfun1(A))) => k9_xtuple_0(B) = k10_xtuple_0(B) ) )).
fof(t1_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_yellow_0(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_waybel21(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_yellow_0(A)) = k4_yellow_0(B) ) ) ) )).
fof(t1_waybel22,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,k1_yellow_1(k8_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k8_waybel_0(A))))) ) => k1_yellow_0(k1_yellow_1(k8_waybel_0(A)),B) = k3_tarski(B) ) ) )).
fof(t1_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_waybel_8(A,B) = k8_subset_1(u1_struct_0(A),k1_waybel_3(A,B),u1_struct_0(k1_waybel_8(A))) ) ) )).
fof(t1_waybel24,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v1_lattice3(A) & v2_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & v1_lattice3(B) & v2_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_waybel17(A,B)))) => ( v1_funct_1(k1_yellow_0(k2_waybel17(A,B),C)) & v1_funct_2(k1_yellow_0(k2_waybel17(A,B),C),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_yellow_0(k2_waybel17(A,B),C),A,B) & m1_subset_1(k1_yellow_0(k2_waybel17(A,B),C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) )).
fof(t1_waybel25,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k9_waybel18)) => ( A = k5_numbers => v4_pre_topc(k6_domain_1(u1_struct_0(k9_waybel18),A),k9_waybel18) ) ) )).
fof(t1_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_waybel26(A,B))) <=> ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_waybel25(B))) & v5_pre_topc(C,A,k1_waybel25(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_waybel25(B))))) ) ) ) ) )).
fof(t1_waybel27,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( r1_tarski(D,k1_funct_2(A,k1_funct_2(B,C))) & ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,D) & v1_funct_1(E) & v1_partfun1(E,D) ) => ~ ( v1_waybel27(E) & r1_tarski(k10_xtuple_0(E),k1_funct_2(k2_zfmisc_1(A,B),C)) ) ) ) )).
fof(t1_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => r3_orders_2(A,k1_waybel_9(A,B),k1_waybel11(A,B)) ) ) )).
fof(t1_waybel29,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_yellow_0(D,k5_yellow_1(k2_zfmisc_1(A,B),C)) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_yellow_0(E,k5_yellow_1(A,k5_yellow_1(B,C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( ( v2_waybel27(F) & v2_funct_1(F) & v2_funct_2(F,u1_struct_0(E)) ) => v1_waybel27(k2_tops_2(u1_struct_0(D),u1_struct_0(E),F)) ) ) ) ) ) ) ) )).
fof(t1_waybel30,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => k3_xboole_0(A,k3_tarski(B)) = k3_tarski(a_2_0_waybel30(A,B)) ) )).
fof(t1_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v6_waybel23(B,A) & m1_waybel23(B,A) ) => r1_ordinal1(k1_waybel31(A),k1_card_1(B)) ) ) )).
fof(t1_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v1_waybel32(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => v13_waybel_0(B,A) ) ) ) )).
fof(t1_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v2_waybel_0(E,k2_yellow_1(C)) & v13_waybel_0(E,k2_yellow_1(C)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k2_yellow_1(C)))) ) => ! [F] : ( ( ~ v1_xboole_0(F) & v2_waybel_0(F,k2_yellow_1(D)) & v13_waybel_0(F,k2_yellow_1(D)) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k2_yellow_1(D)))) ) => ( E = F => k1_waybel33(A,C,E) = k1_waybel33(B,D,F) ) ) ) ) ) ) ) ) )).
fof(t1_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_orders_2(D) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(C),u1_orders_2(C)) & g1_orders_2(u1_struct_0(B),u1_orders_2(B)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) ) => ! [E] : ( m1_waybel_1(E,A,B) => ! [F] : ( m1_waybel_1(F,C,D) => ( ( E = F & v3_waybel_1(E,A,B) ) => v3_waybel_1(F,C,D) ) ) ) ) ) ) ) ) )).
fof(t1_waybel35,axiom,( ! [A] : ( l1_struct_0(A) => ! [B] : ( ( v1_zfmisc_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => m1_waybel35(B,A,C) ) ) ) )).
fof(t1_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) ) <=> ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_tarski(D,B) & r2_lattice3(A,C,D) ) ) ) ) ) )).
fof(t1_waybel_1,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_orders_2(A,B,C) => r1_orders_2(A,k12_lattice3(A,B,D),k12_lattice3(A,C,D)) ) ) ) ) ) )).
fof(t1_waybel_2,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_yellow_0(A,k4_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B)) ) ) ) )).
fof(t1_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_waybel_3(A,B,C) => r3_orders_2(A,B,C) ) ) ) ) )).
fof(t1_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_waybel_4(B,A) & v3_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),C,E),B) & r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,F),B) ) => r2_tarski(k1_domain_1(u1_struct_0(A),u1_struct_0(A),k13_lattice3(A,C,D),k13_lattice3(A,E,F)),B) ) ) ) ) ) ) ) )).
fof(t1_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_xboole_0(k1_waybel_3(A,B)) & v1_waybel_0(k1_waybel_3(A,B),A) & v12_waybel_0(k1_waybel_3(A,B),A) & m1_subset_1(k1_waybel_3(A,B),k1_zfmisc_1(u1_struct_0(A))) & r3_orders_2(A,B,k1_yellow_0(A,k1_waybel_3(A,B))) & ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,A) & v12_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_orders_2(A,B,k1_yellow_0(A,C)) => r1_tarski(k1_waybel_3(A,B),C) ) ) ) ) ) ) )).
fof(t1_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v19_waybel_0(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k12_lattice3(A,D,E)) = k12_lattice3(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(t1_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ( r1_tarski(B,C) => ( r3_orders_2(A,k1_yellow_0(A,B),k1_yellow_0(A,C)) & r1_orders_2(A,k2_yellow_0(A,C),k2_yellow_0(A,B)) ) ) ) )).
fof(t1_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_orders_2(A,B,D) & r3_orders_2(A,D,C) & r2_tarski(D,u1_struct_0(k1_waybel_8(A))) ) => r1_waybel_3(A,B,C) ) ) ) ) ) )).
fof(t1_waybel_9,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_orders_2(D) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(C),u1_orders_2(C)) & g1_orders_2(u1_struct_0(B),u1_orders_2(B)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) & E = F & v5_orders_3(E,A,B) ) => v5_orders_3(F,C,D) ) ) ) ) ) ) ) )).
fof(t1_weddwitt,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ( k1_newton(B,A) = 1 => ( r1_xxreal_0(B,1) | A = k5_numbers ) ) ) ) )).
fof(t1_weierstr,axiom,( ! [A] : ( ( v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( v1_xreal_0(G) & r1_tarski(k4_subset_1(u1_struct_0(A),k8_metric_1(A,B,D),k8_metric_1(A,C,E)),k8_metric_1(A,F,G)) ) ) ) ) ) ) ) )).
fof(t1_wellfnd1,axiom,( ! [A] : ( v4_funct_1(A) => ( ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_tarski(B,A) & r2_tarski(C,A) ) => r1_partfun1(B,C) ) ) ) => ( v1_relat_1(k3_tarski(A)) & v1_funct_1(k3_tarski(A)) ) ) ) )).
fof(t1_wellord1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r2_hidden(B,k1_wellord1(C,A)) <=> ( B != A & r2_hidden(k4_tarski(B,A),C) ) ) ) )).
fof(t1_wellset1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( r2_hidden(B,k1_relat_1(A)) <=> ~ ! [C] : ( ~ r2_hidden(k4_tarski(B,C),A) & ~ r2_hidden(k4_tarski(C,B),A) ) ) ) )).
fof(t1_wsierp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_newton(A,2) = k3_xcmplx_0(A,A) & k1_newton(k4_xcmplx_0(A),2) = k1_newton(A,2) ) ) )).
fof(t1_xboole_0,axiom,( ! [A] : ! [B] : ! [C] : ( r2_hidden(C,k5_xboole_0(A,B)) <=> ~ ( r2_hidden(C,A) <=> r2_hidden(C,B) ) ) )).
fof(t1_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(A,B) & r1_tarski(B,C) ) => r1_tarski(A,C) ) )).
fof(t1_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => k4_xboolean(A,A) = A ) )).
fof(t1_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(A,k2_xcmplx_0(B,C)) = k2_xcmplx_0(k2_xcmplx_0(A,B),C) ) ) ) )).
fof(t1_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(B,A) ) ) )).
fof(t1_xregular,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( r2_tarski(B,A) & r1_xboole_0(B,A) ) ) )).
fof(t1_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( k4_tarski(A,B) = k4_tarski(C,D) => ( A = C & B = D ) ) )).
fof(t1_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,A) ) => A = B ) ) ) )).
fof(t1_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,k1_xxreal_1(A,B)) <=> ( r1_xxreal_0(A,C) & r1_xxreal_0(C,B) ) ) ) ) ) )).
fof(t1_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( m1_xxreal_2(B,k1_tarski(A)) <=> r1_xxreal_0(A,B) ) ) ) )).
fof(t1_xxreal_3,axiom,( ! [A] : ( ( v1_xxreal_0(A) & v2_xxreal_0(A) & ~ v1_xreal_0(A) ) => A = k1_xxreal_0 ) )).
fof(t1_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ( v2_yellow_0(k3_yellow_3(A,B)) => ( v2_yellow_0(A) & v2_yellow_0(B) ) ) ) ) )).
fof(t1_yellow11,axiom,( 3 = k8_domain_1(k4_ordinal1,k5_numbers,1,2) )).
fof(t1_yellow12,axiom,( ! [A] : ! [B] : r1_relset_1(B,B,k7_relset_1(B,k2_zfmisc_1(B,B),k12_funct_3(B),A),k2_zfmisc_1(A,A)) )).
fof(t1_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v7_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v4_pre_topc(B,A) ) ) )).
fof(t1_yellow14,axiom,( k9_setfam_1(k1_tarski(k5_numbers)) = k2_tarski(k5_numbers,1) )).
fof(t1_yellow17,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(A,B))) => ( ~ r1_xboole_0(k8_relat_1(k12_card_3(A,B),k1_tarski(C)),k8_relat_1(k12_card_3(A,B),D)) => r2_tarski(C,D) ) ) ) )).
fof(t1_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ( ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_functor0(A,B,C,E) = k3_functor0(A,B,D,E) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k1_altcat_1(A,E,F) != k1_xboole_0 => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,E,F)) => k6_functor0(A,B,C,E,F,G) = k6_functor0(A,B,D,E,F,G) ) ) ) ) ) => g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) = g2_functor0(A,B,u1_functor0(A,B,D),u2_functor0(A,B,D)) ) ) ) ) ) )).
fof(t1_yellow19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_subset_1(B,u1_struct_0(k2_yellow_1(A))) & v2_waybel_0(B,k2_yellow_1(A)) & v13_waybel_0(B,k2_yellow_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) => ! [C] : ~ ( r2_tarski(C,B) & v1_xboole_0(C) ) ) ) )).
fof(t1_yellow20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v6_functor0(C,A,B) & v8_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( ( v7_functor0(C,A,B) & v21_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( k3_functor0(A,B,C,D) = E <=> k3_functor0(B,A,k15_functor0(A,B,C),E) = D ) ) ) ) ) ) ) )).
fof(t1_yellow21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & v1_yellow21(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_yellow18(A,B) = u1_struct_0(k1_yellow21(B)) ) ) )).
fof(t1_yellow_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => ( ( r1_orders_2(A,C,D) => r1_orders_2(B,E,F) ) & ( r2_orders_2(A,C,D) => r2_orders_2(B,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t1_yellow_1,axiom,( ! [A] : ( u1_struct_0(k1_yellow_1(A)) = A & u1_orders_2(k1_yellow_1(A)) = k2_orders_1(A) ) )).
fof(t1_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,k5_waybel_0(A,B)) <=> r2_lattice3(A,C,B) ) ) ) ) )).
fof(t1_yellow_3,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => r1_relset_1(A,B,C,k2_zfmisc_1(k9_xtuple_0(C),k10_xtuple_0(C))) ) )).
fof(t1_yellow_4,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r1_yellow_0(A,B) ) => r1_orders_2(A,C,k1_yellow_0(A,B)) ) ) ) )).
fof(t1_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k13_lattice3(A,B,B) = B ) ) )).
fof(t1_yellow_6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( r2_tarski(k9_xtuple_0(B),A) & r1_tarski(k10_xtuple_0(B),A) ) => r2_tarski(k4_card_3(B),A) ) ) ) )).
fof(t1_yellow_7,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lattice3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lattice3(A))) => ( r1_orders_2(k7_lattice3(A),B,C) <=> r1_orders_2(A,k9_lattice3(A,C),k9_lattice3(A,B)) ) ) ) ) )).
fof(t1_yellow_8,axiom,( ! [A] : ! [B] : ! [C] : ( ( r2_tarski(B,k5_finsub_1(A)) & r1_tarski(C,B) ) => r2_tarski(C,k5_finsub_1(A)) ) )).
fof(t1_yellow_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k3_subset_1(u1_struct_0(A),k6_waybel_0(A,B))) <=> ~ r1_orders_2(A,B,C) ) ) ) ) )).
fof(t1_yoneda_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( m1_subset_1(D,u4_struct_0(k1_yoneda_1(A))) => ! [E] : ( m1_subset_1(E,u4_struct_0(k1_yoneda_1(A))) => ( ( k4_graph_1(k1_yoneda_1(A),D) = k3_graph_1(k1_yoneda_1(A),E) & k4_tarski(k7_cat_2(k1_yoneda_1(A),k1_yoneda_1(A),k3_graph_1(k1_yoneda_1(A),D),k4_graph_1(k1_yoneda_1(A),D)),B) = D & k4_tarski(k7_cat_2(k1_yoneda_1(A),k1_yoneda_1(A),k3_graph_1(k1_yoneda_1(A),E),k4_graph_1(k1_yoneda_1(A),E)),C) = E ) => k4_tarski(k7_cat_2(k1_yoneda_1(A),k1_yoneda_1(A),k3_graph_1(k1_yoneda_1(A),D),k4_graph_1(k1_yoneda_1(A),E)),k3_relat_1(B,C)) = k1_cat_1(k1_yoneda_1(A),D,E) ) ) ) ) ) ) )).
fof(t1_zf_colla,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => k1_zf_colla(A,B) = a_2_1_zf_colla(A,B) ) ) )).
fof(t1_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ! [D] : ( r1_tarski(B,A) & ( r2_tarski(C,B) => m1_subset_1(C,A) ) & ( ( r2_tarski(C,D) & r2_tarski(D,B) ) => m1_subset_1(C,A) ) ) ) ) )).
fof(t1_zf_fund2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zf_lang,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( v1_ordinal1(A) => k1_zf_fund2(k7_zf_lang(k2_zf_lang(2),k10_zf_lang(k4_zf_lang(k2_zf_lang(2),k2_zf_lang(k5_numbers)),k4_zf_lang(k2_zf_lang(2),k2_zf_lang(1)))),A,k2_zf_lang1(A,C,k2_zf_lang(1),B)) = k3_xboole_0(A,k1_zfmisc_1(B)) ) ) ) ) )).
fof(t1_zf_lang,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( k3_zf_lang(A,B) = k3_zf_lang(C,D) => ( A = C & B = D ) ) ) ) ) ) )).
fof(t1_zf_lang1,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ( k17_zf_lang(k3_zf_lang(A,B)) = A & k18_zf_lang(k3_zf_lang(A,B)) = B ) ) ) )).
fof(t1_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( ( v2_zf_lang(A) => k2_zf_model(A) = k2_tarski(k17_zf_lang(A),k18_zf_lang(A)) ) & ( v3_zf_lang(A) => k2_zf_model(A) = k2_tarski(k17_zf_lang(A),k18_zf_lang(A)) ) & ( v4_zf_lang(A) => k2_zf_model(A) = k2_zf_model(k19_zf_lang(A)) ) & ( v5_zf_lang(A) => k2_zf_model(A) = k4_subset_1(k1_zf_lang,k2_zf_model(k20_zf_lang(A)),k2_zf_model(k21_zf_lang(A))) ) & ( v6_zf_lang(A) => k2_zf_model(A) = k7_subset_1(k1_zf_lang,k2_zf_model(k23_zf_lang(A)),k1_tarski(k22_zf_lang(A))) ) ) ) )).
fof(t1_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => r2_zf_model(A,k7_zf_model) ) )).
fof(t1_zfmisc_1,axiom,( k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0) )).
fof(t1_zfmodel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( v1_ordinal1(A) => r2_zf_model(A,k6_zf_model) ) ) )).
fof(t1_zfmodel2,axiom,( ! [A] : ( m2_subset_1(A,k4_ordinal1,k1_zf_lang) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => r1_tarski(k2_zf_model(k6_zf_lang1(C,A,B)),k2_xboole_0(k7_subset_1(k1_zf_lang,k2_zf_model(C),k1_tarski(A)),k1_tarski(B))) ) ) ) )).
fof(t1_zfrefle1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_zfrefle1(A,k1_subset_1(k8_zf_lang)) ) )).
fof(t1_zmodul01,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( ( A = k5_numbers | C = k4_struct_0(B) ) => k1_zmodul01(B,C,A) = k4_struct_0(B) ) ) ) ) )).
fof(t1_zmodul02,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_zmodul01(C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k10_zmodul02(B,C))) => ( C = k5_zmodul02(B,A) => k1_zmodul01(k10_zmodul02(B,C),D,A) = k4_struct_0(k10_zmodul02(B,C)) ) ) ) ) ) )).
fof(t1_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ? [C] : ( m1_zmodul02(C,A) & k3_funct_2(u1_struct_0(A),k4_numbers,C,B) = 1 & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D != B => k3_funct_2(u1_struct_0(A),k4_numbers,C,D) = k5_numbers ) ) ) ) ) )).
fof(t1_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,k6_zmodul01(A,B,C)) => ! [E] : ( m1_zmodul01(E,k6_zmodul01(A,B,C)) => ( ( D = B & E = C ) => k6_zmodul01(A,B,C) = k6_zmodul01(k6_zmodul01(A,B,C),D,E) ) ) ) ) ) ) )).
fof(t1_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & v2_zmodul03(A) & l1_zmodul01(A) ) => ( k1_zmodul03(A) = k5_numbers <=> k4_zmodul01(A) = k3_zmodul01(A) ) ) )).
fof(t1_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => k5_zmodul02(B,1) = k4_zmodul01(B) ) ) )).
fof(t200_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k23_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k23_member_1(A,C),k23_member_1(B,C)) ) ) ) ) )).
fof(t200_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k7_xcmplx_0(A,B) = k7_xcmplx_0(D,C) => ( B = k5_numbers | C = k5_numbers | B = k4_xcmplx_0(C) | k7_xcmplx_0(A,B) = k7_xcmplx_0(k2_xcmplx_0(A,D),k2_xcmplx_0(B,C)) ) ) ) ) ) ) )).
fof(t200_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k4_xcmplx_0(A),B) & r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) )).
fof(t200_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(D,B) ) => k6_subset_1(k1_xxreal_1(A,B),k2_xboole_0(k1_xxreal_1(A,C),k1_xxreal_1(D,B))) = k4_xxreal_1(C,D) ) ) ) ) ) )).
fof(t201_member_1,axiom,( ! [A] : ( v1_membered(A) => r1_tarski(k23_member_1(A,k5_numbers),k1_tarski(k5_numbers)) ) )).
fof(t201_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k5_xcmplx_0(A) = k5_xcmplx_0(B) => A = B ) ) ) )).
fof(t201_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,k4_xcmplx_0(B)) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) ) )).
fof(t201_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(B,C) ) => k6_subset_1(k1_xxreal_1(A,C),k1_tarski(B)) = k2_xboole_0(k2_xxreal_1(A,B),k3_xxreal_1(B,C)) ) ) ) ) )).
fof(t202_member_1,axiom,( ! [A] : ( v1_membered(A) => ( A != k1_xboole_0 => k23_member_1(A,k5_numbers) = k1_tarski(k5_numbers) ) ) )).
fof(t202_xcmplx_1,axiom,( k5_xcmplx_0(k5_numbers) = k5_numbers )).
fof(t202_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(B,k4_xcmplx_0(A)) => ( r1_xxreal_0(B,k5_numbers) | r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) ) )).
fof(t202_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(C,B) | k6_subset_1(k2_xxreal_1(A,C),k1_tarski(B)) = k2_xboole_0(k2_xxreal_1(A,B),k4_xxreal_1(B,C)) ) ) ) ) ) )).
fof(t203_member_1,axiom,( ! [A] : ( v1_membered(A) => k23_member_1(A,1) = A ) )).
fof(t203_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( B != k5_numbers => A = k3_xcmplx_0(k3_xcmplx_0(A,B),k5_xcmplx_0(B)) ) ) ) )).
fof(t203_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k4_xcmplx_0(B),A) => ( r1_xxreal_0(k5_numbers,B) | r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) ) )).
fof(t203_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(B,C) => ( r1_xxreal_0(B,A) | k6_subset_1(k3_xxreal_1(A,C),k1_tarski(B)) = k2_xboole_0(k4_xxreal_1(A,B),k3_xxreal_1(B,C)) ) ) ) ) ) )).
fof(t204_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k23_member_1(A,k3_xcmplx_0(B,C)) = k23_member_1(k23_member_1(A,C),B) ) ) ) )).
fof(t204_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k3_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) = k5_xcmplx_0(k3_xcmplx_0(A,B)) ) ) )).
fof(t204_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k4_xcmplx_0(A),B) => ( r1_xxreal_0(k5_numbers,B) | r1_xxreal_0(k7_xcmplx_0(A,B),k4_xcmplx_0(1)) ) ) ) ) )).
fof(t204_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,B) & k6_subset_1(k4_xxreal_1(A,C),k1_tarski(B)) != k2_xboole_0(k4_xxreal_1(A,B),k4_xxreal_1(B,C)) ) ) ) ) )).
fof(t205_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k23_member_1(k13_member_1(A,B),C) = k13_member_1(k23_member_1(A,C),B) ) ) ) )).
fof(t205_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k5_xcmplx_0(k3_xcmplx_0(A,k5_xcmplx_0(B))) = k3_xcmplx_0(k5_xcmplx_0(A),B) ) ) )).
fof(t205_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(B),A) & r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(A,B)) ) ) ) )).
fof(t205_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ r2_hidden(B,k2_xboole_0(k4_xxreal_1(A,B),k4_xxreal_1(B,C))) ) ) ) )).
fof(t206_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => r1_tarski(k23_member_1(A,k2_xcmplx_0(B,C)),k9_member_1(k23_member_1(A,B),k23_member_1(A,C))) ) ) ) )).
fof(t206_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k5_xcmplx_0(k3_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B))) = k3_xcmplx_0(A,B) ) ) )).
fof(t206_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k4_xcmplx_0(A),B) & r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(A,B)) ) ) ) )).
fof(t206_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ r2_hidden(B,k2_xboole_0(k2_xxreal_1(A,B),k4_xxreal_1(B,C))) ) ) ) )).
fof(t207_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => r1_tarski(k23_member_1(A,k6_xcmplx_0(B,C)),k11_member_1(k23_member_1(A,B),k23_member_1(A,C))) ) ) ) )).
fof(t207_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( A != k5_numbers & B != k5_numbers & k3_xcmplx_0(A,k5_xcmplx_0(B)) = k5_numbers ) ) ) )).
fof(t207_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(A,k4_xcmplx_0(B)) & r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(A,B)) ) ) ) )).
fof(t207_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ r2_hidden(B,k2_xboole_0(k4_xxreal_1(A,B),k3_xxreal_1(B,C))) ) ) ) )).
fof(t208_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k23_member_1(k9_member_1(A,B),C) = k9_member_1(k23_member_1(A,C),k23_member_1(B,C)) ) ) ) )).
fof(t208_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( A != k5_numbers & B != k5_numbers & k3_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) = k5_numbers ) ) ) )).
fof(t208_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(B,k4_xcmplx_0(A)) & r1_xxreal_0(k4_xcmplx_0(1),k7_xcmplx_0(A,B)) ) ) ) )).
fof(t208_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ r2_hidden(B,k2_xboole_0(k2_xxreal_1(A,B),k3_xxreal_1(B,C))) ) ) ) )).
fof(t209_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k23_member_1(k11_member_1(A,B),C) = k11_member_1(k23_member_1(A,C),k23_member_1(B,C)) ) ) ) )).
fof(t209_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_xcmplx_0(A,k5_xcmplx_0(B)) = 1 => A = B ) ) ) )).
fof(t209_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ~ r1_xxreal_0(1,C) & ~ r1_xxreal_0(B,k7_xcmplx_0(A,C)) ) ) => r1_xxreal_0(B,A) ) ) ) )).
fof(t209_xxreal_1,axiom,( k1_xxreal_1(k2_xxreal_0,k1_xxreal_0) = k6_numbers )).
fof(t20_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ( r1_abcmiz_0(A,B,C) => r3_orders_2(A,k5_abcmiz_0(A,B,C),B) ) ) ) ) )).
fof(t20_abcmiz_1,axiom,( ! [A] : ( v1_finset_1(k6_classes1(A)) => v1_finset_1(A) ) )).
fof(t20_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ~ ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k20_abcmiz_1) & ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ~ ( C = k1_xfamily(k1_funct_1(B,k1_xboole_0)) & k2_msualg_1(A,C) = k1_xfamily(C) & m1_abcmiz_1(B,A,k2_msualg_1(A,C)) ) ) ) ) ) )).
fof(t20_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_absred_0(A,B,C) & r1_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t20_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k1_absvalue(k2_xcmplx_0(A,B)),k2_xcmplx_0(k2_xcmplx_0(k1_absvalue(A),k1_absvalue(B)),1)) ) ) )).
fof(t20_aescip_1,axiom,( ! [A] : ( m2_finseq_2(A,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => k1_funct_1(k3_aescip_1,k1_funct_1(k2_funct_1(k3_aescip_1),A)) = A ) )).
fof(t20_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(C,A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( B != D & r2_tarski(D,C) ) ) ) ) ) ) )).
fof(t20_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r1_tarski(D,k1_aff_4(A,B,C)) ) => ( r5_aff_1(A,B,D) | k1_aff_4(A,B,D) = k1_aff_4(A,B,C) ) ) ) ) ) ) )).
fof(t20_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ~ ( r2_tarski(A,k2_afinsq_1(k1_ordinal4(B,C))) & ~ r2_tarski(A,k2_afinsq_1(B)) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k2_afinsq_1(C)) & A = k2_xcmplx_0(k1_afinsq_1(B),D) ) ) ) ) ) ) )).
fof(t20_afinsq_2,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => k1_afinsq_1(k4_afinsq_2(A)) = k4_card_1(A) ) )).
fof(t20_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k13_afproj(A))) <=> ~ ( ~ m1_subset_1(B,u1_struct_0(A)) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B = k5_afproj(A,C) & v1_aff_1(C,A) ) ) ) ) ) )).
fof(t20_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_afvect0(A,B,C,D) & r2_afvect0(A,B,E,D) & C != E & ~ r1_afvect0(A,C,E) ) ) ) ) ) ) )).
fof(t20_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r3_alg_1(A,B,C) => r4_alg_1(k4_alg_1(A,k6_alg_1(A,B,C)),B,k7_alg_1(A,B,C)) ) ) ) ) )).
fof(t20_algspec1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k1_algspec1(k2_xboole_0(A,B),C) = k2_xboole_0(k1_algspec1(A,C),k1_algspec1(B,C)) ) )).
fof(t20_algstr_4,axiom,( ! [A] : ! [B] : ( v7_ordinal1(B) => ~ ( r1_xxreal_0(2,B) & ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k3_finseq_1(C) = k6_xcmplx_0(B,1) & ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(B,1)) ) => k1_funct_1(C,D) = k2_zfmisc_1(k11_algstr_4(A,D),k11_algstr_4(A,k7_nat_d(B,D))) ) ) & k11_algstr_4(A,B) = k3_card_3(k2_card_3(C)) ) ) ) ) )).
fof(t20_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_altcat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => k5_altcat_1(A,B,C,C,D,k8_altcat_1(A,C)) = D ) ) ) ) ) )).
fof(t20_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => m1_altcat_2(A,A) ) )).
fof(t20_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( ( v1_altcat_3(D,A,B,C) & v4_altcat_3(D,A,B,C) ) => ( k1_altcat_1(A,B,C) = k1_xboole_0 | k1_altcat_1(A,C,B) = k1_xboole_0 | v3_altcat_3(D,A,B,C) ) ) ) ) ) ) )).
fof(t20_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => ( v3_altcat_3(F,A,D,E) => ( k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | v3_altcat_3(k6_functor0(A,B,C,D,E,F),B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) ) ) ) ) ) ) ) ) )).
fof(t20_ami_2,axiom,( ~ r2_tarski(k4_ordinal1,k2_ami_2) )).
fof(t20_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ~ v2_extpro_1(k6_ami_3(A,B),k5_card_1(2),k1_ami_3) ) ) )).
fof(t20_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_ami_3)) ) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k5_ami_3(H,I) & r2_tarski(H,k9_xtuple_0(B)) ) => k3_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),I)) = k3_xcmplx_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => k2_amistd_1(k5_card_1(2),k1_ami_3,k9_ami_3(B,A)) = k1_tarski(B) ) ) )).
fof(t20_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k3_amistd_1(A,k4_amistd_1(A),B) = k7_domain_1(k4_ordinal1,B,k5_ami_wstd(A,k4_amistd_1(A),B)) ) ) )).
fof(t20_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( m1_subset_1(B,u1_compos_1(k4_amistd_1(A))) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k4_amistd_1(A))) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,k4_amistd_1(A))) & v1_partfun1(C,u1_struct_0(k4_amistd_1(A))) ) => ( k5_compos_0(u1_compos_1(k4_amistd_1(A)),B) = 1 => r8_pboole(u1_struct_0(k4_amistd_1(A)),k2_extpro_1(A,k4_amistd_1(A),B,C),k9_memstr_0(A,k4_amistd_1(A),C,1)) ) ) ) ) )).
fof(t20_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => g1_analoaf(u1_struct_0(k2_analmetr(A,B,C)),u1_analoaf(k2_analmetr(A,B,C))) = k2_diraf(k2_analoaf(A)) ) ) ) )).
fof(t20_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ~ ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r1_analoaf(A,B,C,D,E) & ~ r1_analoaf(A,B,C,E,D) ) ) ) ) ) ) ) )).
fof(t20_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r1_analort(A,E,F,B,B,C,D) ) ) ) ) ) ) )).
fof(t20_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_hidden(k4_tarski(B,C),k1_anproj_1(A)) <=> ( ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & r1_anproj_1(A,B,C) ) ) ) ) ) )).
fof(t20_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ~ ( A = k9_domain_1(A,B,C,D,E) & B != C & B != D & B != E & C != D & C != E & D != E & ! [F] : ( m2_funct_2(F,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [G] : ( m2_funct_2(G,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [H] : ( m2_funct_2(H,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [I] : ( m2_funct_2(I,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [J] : ( m2_funct_2(J,A,k1_numbers,k9_funct_2(A,k1_numbers)) & ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ! [M] : ( v1_xreal_0(M) => ! [N] : ( v1_xreal_0(N) => J != k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(K,F)),k1_funct_1(k7_funcsdom(A),k4_tarski(L,G))),k1_funct_1(k7_funcsdom(A),k4_tarski(M,H))),k1_funct_1(k7_funcsdom(A),k4_tarski(N,I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( r2_tarski(D,k9_aofa_000(A,B,k1_nat_1(C,1))) <=> ~ ( ~ r2_tarski(D,k9_aofa_000(A,B,C)) & ! [E] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( D = k1_funct_1(k2_pua2mss1(A,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,E))) & r1_tarski(k2_relset_1(u1_struct_0(A),F),k9_aofa_000(A,B,C)) ) ) ) ) ) ) ) ) )).
fof(t20_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) ) => ( G = k4_aofa_a00(A,B,C,D,E,F) <=> ( k3_finseq_1(G) = 6 & k1_funct_1(G,1) = A & k1_funct_1(G,2) = B & k1_funct_1(G,3) = C & k1_funct_1(G,4) = D & k1_funct_1(G,5) = E & k1_funct_1(G,6) = F ) ) ) )).
fof(t20_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v16_aofa_a00(A) & v18_aofa_a00(A,4,1) & l6_aofa_a00(A) ) => ! [B] : ( ( v19_aofa_a00(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( C = k10_subset_1(k1_funct_1(u7_aofa_a00(A),10),u4_struct_0(A)) => ( k1_msualg_1(A,C) = k2_finseq_4(u1_struct_0(A),B,B) & k2_msualg_1(A,C) = u8_aofa_a00(A) ) ) ) ) ) )).
fof(t20_aofa_i00,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_card_3(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,k1_card_1(A)) & v2_funct_2(C,k1_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) => ! [D] : ( m6_aofa_i00(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(A,k4_numbers),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),A))) ) => m2_aofa_i00(E,k7_freealg(k19_aofa_000,k26_aofa_i00),A,B,D) ) ) ) ) ) )).
fof(t20_aofa_l00,axiom,( ! [A] : ( ( v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_instalg1(C) & l1_msualg_1(C) ) => ! [D] : ( ( v1_instalg1(D) & l1_msualg_1(D) ) => ( ( g1_msualg_1(u1_struct_0(A),u4_struct_0(A),u1_msualg_1(A),u2_msualg_1(A)) = g1_msualg_1(u1_struct_0(B),u4_struct_0(B),u1_msualg_1(B),u2_msualg_1(B)) & g1_msualg_1(u1_struct_0(C),u4_struct_0(C),u1_msualg_1(C),u2_msualg_1(C)) = g1_msualg_1(u1_struct_0(D),u4_struct_0(D),u1_msualg_1(D),u2_msualg_1(D)) & m2_algspec1(C,A) ) => m2_algspec1(D,B) ) ) ) ) ) )).
fof(t20_armstrng,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => v1_finset_1(B) ) ) )).
fof(t20_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( B != k5_numbers => k2_arytm_0(k2_arytm_0(A,B),k4_arytm_0(B)) = A ) ) ) )).
fof(t20_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(C,B) => k7_arytm_2(A,k1_arytm_1(B,C)) = k2_arytm_1(k7_arytm_2(A,B),C) ) ) ) ) )).
fof(t20_arytm_2,axiom,( r2_tarski(k11_arytm_3,k2_arytm_2) & r2_tarski(k12_arytm_3,k2_arytm_2) )).
fof(t20_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( r1_arytm_3(A,B) <=> k3_arytm_3(A,B) = 1 ) ) ) )).
fof(t20_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_tarski(A,k7_asympt_0(A)) ) )).
fof(t20_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( r2_tarski(A,k8_asympt_0(B)) <=> k8_asympt_0(A) = k8_asympt_0(B) ) ) ) )).
fof(t20_autalg_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pzfmisc1(A,B,C) => ! [D] : ( m2_pboole(D,A,B,C) => r2_tarski(D,k4_autalg_1(A,B,C)) ) ) ) ) )).
fof(t20_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_funct_2(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_autgroup(A))) => ( B = C => k2_funct_1(B) = k2_group_1(k5_autgroup(A),C) ) ) ) ) )).
fof(t20_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r2_tarski(B,A) => ( v1_relat_1(k5_relat_1(C,B)) & v4_relat_1(k5_relat_1(C,B),B) & v1_funct_1(k5_relat_1(C,B)) & v1_partfun1(k5_relat_1(C,B),B) & v4_valued_0(k5_relat_1(C,B)) & v2_pre_poly(k5_relat_1(C,B)) ) ) ) ) ) )).
fof(t20_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ~ ( ~ r1_xxreal_0(A,B) & C != D & ~ r2_tarski(k7_finseq_1(k2_finseq_2(A,C),k2_finseq_2(B,D)),k2_ballot_1(C,A,D,B)) ) ) ) )).
fof(t20_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k4_bcialg_1(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k4_bcialg_1(A)) => r2_tarski(k1_bcialg_1(A,B,C),k4_bcialg_1(A)) ) ) ) )).
fof(t20_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v7_ordinal1(E) => ( r1_bcialg_1(A,B,C) => r1_bcialg_1(A,k1_bcialg_2(A,D,C,E),k1_bcialg_2(A,D,B,E)) ) ) ) ) ) ) )).
fof(t20_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v4_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_bcialg_1(A,B,D) & r1_bcialg_1(A,k1_bcialg_1(A,D,C),k1_bcialg_1(A,D,B)) ) => r1_bcialg_1(A,B,C) ) ) ) ) ) ) )).
fof(t20_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_bcialg_4(A,B,k5_numbers) = k4_struct_0(A) ) ) )).
fof(t20_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v8_bcialg_1(E) & m1_bcialg_5(E,A,B,C,D) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(E)) => ! [G] : ( m1_subset_1(G,u1_struct_0(E)) => k1_bcialg_2(E,F,G,k1_nat_1(B,1)) = k1_bcialg_2(E,F,G,k1_nat_1(C,1)) ) ) ) ) ) ) ) )).
fof(t20_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k5_bcialg_1(A)) => ! [D] : ( v7_ordinal1(D) => ( C = k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),D) => r2_tarski(k2_bcialg_6(A,B,D),k7_bcialg_1(A,C)) ) ) ) ) ) )).
fof(t20_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => m2_bciideal(k4_bcialg_1(A),A) ) )).
fof(t20_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bhsp_1(A,B,C) => r1_bhsp_1(A,B,k4_algstr_0(A,C)) ) ) ) ) )).
fof(t20_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_2(B,A) => v2_comseq_2(k2_bhsp_2(A,B)) ) ) ) )).
fof(t20_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_funct_2(k4_ordinal1,u1_struct_0(A),B,1) = k5_algstr_0(A,k3_bhsp_4(A,B,1),k3_bhsp_4(A,B,k5_numbers)) ) ) )).
fof(t20_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),k9_bilinear(A,B,C,D,k7_hahnban1(A,C)),E,F) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(t20_binari_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_int_1(B) => k5_int_1(k3_xcmplx_0(B,A),A) = k5_numbers ) ) )).
fof(t20_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( m1_subset_1(C,k5_margrel1) => k6_binarith(k2_xcmplx_0(A,1),k9_binarith(A,1,k5_margrel1,B,k10_binarith(k5_margrel1,C))) = k1_nat_1(k6_binarith(A,B),k16_funcop_1(k4_ordinal1,C,k6_margrel1,k5_numbers,k5_series_1(2,A))) ) ) ) )).
fof(t20_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_algstr_0(A) & v1_algstr_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k6_algstr_0(A,C,k5_binom(A,B,D)) = k6_binom(A,k6_algstr_0(A,C,B),D) ) ) ) ) )).
fof(t20_binop_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( ( r2_relset_1(A,B,k1_relset_1(k2_zfmisc_1(A,B),D),k1_relset_1(k2_zfmisc_1(A,B),E)) & ! [F] : ! [G] : ( r2_hidden(k4_tarski(F,G),k1_relset_1(k2_zfmisc_1(A,B),D)) => k1_binop_1(D,F,G) = k1_binop_1(E,F,G) ) ) => r2_relset_1(k2_zfmisc_1(A,B),C,D,E) ) ) ) )).
fof(t20_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k4_finseq_1(k2_bintree2(A,B)) = k2_finseq_1(k5_series_1(2,B)) ) ) )).
fof(t20_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ r4_boolealg(A,B,C) & r4_boolealg(A,k4_lattices(A,D,B),k4_lattices(A,D,C)) ) ) ) ) ) )).
fof(t20_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v7_ordinal1(E) => k3_funct_2(B,k1_numbers,C,k1_prob_2(A,B,k9_bor_cant(A,k2_prob_1(A,D)),E)) = k6_xcmplx_0(1,k3_funct_2(B,k1_numbers,C,k1_prob_2(A,B,k7_bor_cant(A,D),E))) ) ) ) ) ) )).
fof(t20_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ( ( k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),C) = k1_xboole_0 | k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B)),k9_borsuk_1(A,B),C) = k1_xboole_0 ) => C = k1_xboole_0 ) ) ) ) )).
fof(t20_borsuk_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A))))) => ~ ( m1_setfam_1(C,u1_struct_0(k2_borsuk_1(B,A))) & v1_tops_2(C,k2_borsuk_1(B,A)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A))))) => ~ ( r1_tarski(D,C) & m1_setfam_1(D,u1_struct_0(k2_borsuk_1(B,A))) & v1_finset_1(D) ) ) ) ) ) ) )).
fof(t20_borsuk_4,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ v1_xboole_0(k1_seq_4(A)) & v2_measure5(k1_seq_4(A)) & m1_subset_1(k1_seq_4(A),k1_zfmisc_1(k1_numbers)) ) ) )).
fof(t20_borsuk_5,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( ( v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k6_xcmplx_0(A,B)) ) ) )).
fof(t20_borsuk_6,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)),u1_struct_0(k15_euclid(2))))) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_funct_1(A,k4_tarski(B,C)) = k10_finseq_1(B,C) ) ) ) )).
fof(t20_borsuk_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ( k16_rvsum_1(A) != k5_numbers => k16_rvsum_1(k14_valued_2(A,k16_rvsum_1(A))) = 1 ) ) )).
fof(t20_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_bspace)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_bspace)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k4_bspace(A,B,k4_bspace(A,C,D)) = k4_bspace(A,k8_group_1(k2_bspace,B,C),D) ) ) ) )).
fof(t20_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k7_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E)),k6_bvfunc_2(A,k7_bvfunc_2(A,k1_bvfunc_1(A,B),C,D),C,E)) ) ) ) ) ) )).
fof(t20_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ~ ( v2_bvfunc_2(B,A) & B = k1_enumset1(C,D,E) & C != D & D != E & E != C & k15_bvfunc_1(A,F,E) = k15_bvfunc_1(A,G,E) & r1_xboole_0(k15_bvfunc_1(A,G,k5_bvfunc_2(A,C,B)),k15_bvfunc_1(A,F,k5_bvfunc_2(A,D,B))) ) ) ) ) ) ) ) ) )).
fof(t20_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k15_margrel1(A,k9_bvfunc_1(A,B,C),B),C),k12_bvfunc_1(A)) ) ) ) )).
fof(t20_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( r2_funct_2(A,k5_margrel1,k13_bvfunc_1(A,k11_bvfunc_1(A)),k11_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k13_bvfunc_1(A,k12_bvfunc_1(A)),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k14_bvfunc_1(A,k11_bvfunc_1(A)),k11_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k14_bvfunc_1(A,k12_bvfunc_1(A)),k12_bvfunc_1(A)) ) ) )).
fof(t20_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r2_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k9_bvfunc_1(A,D,C),B,E),k9_bvfunc_1(A,D,k6_bvfunc_2(A,C,B,E))) ) ) ) ) ) ) )).
fof(t20_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k9_bvfunc_1(A,k7_bvfunc_2(A,D,B,E),k7_bvfunc_2(A,k2_bvfunc_1(A,C,D),B,E))) ) ) ) ) ) )).
fof(t20_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ( r3_bvfunc_2(A,B,C,D) => r1_bvfunc_1(A,B,k6_bvfunc_2(A,B,C,D)) ) ) ) ) ) )).
fof(t20_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,C,k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,C,D)),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t20_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,B),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,C,k12_bvfunc_1(A)) ) ) ) ) )).
fof(t20_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) => k1_funct_1(k10_c0sp1(A),B) = k2_seq_4(k9_c0sp1(A,B)) ) ) ) )).
fof(t20_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_nfcont_1(B,A) & r1_tarski(k2_relset_1(u1_struct_0(A),C),B) & v1_rsspace3(C,A) ) => ( v3_normsp_1(C,A) & r2_tarski(k5_normsp_1(A,C),B) ) ) ) ) ) )).
fof(t20_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ( ( r2_relset_1(k4_ordinal1,k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),B),k1_calcul_1(k3_cqc_lang(A),C)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),B),k2_calcul_1(A,B)) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),C),k2_calcul_1(A,C)) ) => r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),B),k7_cqc_lang(A,k2_calcul_1(A,B),k2_calcul_1(A,C))) ) ) ) ) )).
fof(t20_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),C,k12_finseq_1(k3_cqc_lang(A),B))) => r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),D,C),k12_finseq_1(k3_cqc_lang(A),B))) ) ) ) ) ) )).
fof(t20_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ( v4_ordinal1(A) => ( A = k1_xboole_0 | ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) ) => ( ( k9_xtuple_0(B) = A & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,A) => k1_funct_1(B,C) = k3_card_1(C) ) ) ) => k3_card_1(A) = k1_card_1(k4_ordinal2(B)) ) ) ) ) ) )).
fof(t20_card_2,axiom,( ! [A] : ( v1_card_1(A) => k2_card_2(A,k5_numbers) = k5_numbers ) )).
fof(t20_card_3,axiom,( ! [A] : ! [B] : r1_ordinal1(k1_card_1(k5_card_3(A,B)),k1_card_1(B)) )).
fof(t20_card_4,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ! [C] : ( v1_card_1(C) => ! [D] : ( v1_card_1(D) => ( ( r2_tarski(B,A) & r2_tarski(C,D) ) => ( r2_tarski(k2_card_2(B,C),k2_card_2(A,D)) & r2_tarski(k2_card_2(C,B),k2_card_2(A,D)) ) ) ) ) ) ) )).
fof(t20_card_5,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => r1_ordinal1(A,k3_card_2(A,B)) ) ) )).
fof(t20_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ! [B] : ( m1_card_fil(B,A) => ( r1_tarski(k4_card_fil(A),B) => v1_card_fil(B,A) ) ) ) )).
fof(t20_card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ~ v1_xboole_0(k2_card_fin(B,C,A)) => r1_tarski(k8_relat_1(C,k1_tarski(A)),k9_xtuple_0(B)) ) ) ) )).
fof(t20_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_card_lar(B,A) => r1_ordinal1(k1_card_5(A),k1_card_1(B)) ) ) ) )).
fof(t20_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ~ v1_xboole_0(C) => ( C = k3_tarski(a_2_0_cat_2(A,B)) => ( v1_funct_1(k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),C)) & v1_funct_2(k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),C),C,B) & m1_subset_1(k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),C),k1_zfmisc_1(k2_zfmisc_1(C,B))) & v1_funct_1(k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),C)) & v1_funct_2(k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),C),C,B) & m1_subset_1(k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),C),k1_zfmisc_1(k2_zfmisc_1(C,B))) & v1_funct_1(k1_realset1(u1_cat_1(A),C)) & m1_subset_1(k1_realset1(u1_cat_1(A),C),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) ) ) ) ) )).
fof(t20_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u4_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => r2_funct_2(A,u4_struct_0(B),k6_cat_3(B,A,D,C),k8_cat_3(B,A,D,k8_funcop_1(u4_struct_0(B),A,C))) ) ) ) )).
fof(t20_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_cat_3(A,k2_cat_4(A,B,C),k7_cat_4(A,B,C),k8_cat_4(A,B,C)) ) ) ) )).
fof(t20_cat_5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_cat_5(A) ) => ? [B] : ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_cat_1(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & v4_cat_5(B) & l1_cat_1(B) & u1_struct_0(B) = A ) ) )).
fof(t20_cat_6,axiom,( ! [A] : ( l1_cat_6(A) => ( v10_cat_6(A) <=> v10_cat_6(g1_cat_6(u1_struct_0(A),u1_cat_6(A))) ) ) )).
fof(t20_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(A)) => ( r2_tarski(D,k2_cat_7(A,B,C)) <=> ( k7_cat_6(A,D) = B & k8_cat_6(A,D) = C ) ) ) ) ) ) )).
fof(t20_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k1_catalan1(A),k5_numbers) ) ) )).
fof(t20_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ( r2_tarski(C,k2_catalan2(B,A)) <=> ( v1_catalan2(C) & k1_relset_1(k4_ordinal1,C) = B & k7_afinsq_2(C) = A ) ) ) ) ) )).
fof(t20_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ( k1_msualg_1(k3_catalg_1(A),k10_catalg_1(A,B,C,D)) = k2_finseq_4(u1_struct_0(k3_catalg_1(A)),k9_catalg_1(A,C,D),k9_catalg_1(A,B,C)) & k2_msualg_1(k3_catalg_1(A),k10_catalg_1(A,B,C,D)) = k9_catalg_1(A,B,D) ) ) ) ) ) )).
fof(t20_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_algstr_0(B,A) & v2_algstr_0(C,A) ) => v2_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) ) ) ) ) )).
fof(t20_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_cc0sp1(A))) => r1_xxreal_0(k5_numbers,k2_normsp_0(k7_cc0sp1(A),B)) ) ) )).
fof(t20_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k1_cc0sp2(A,k5_numbers) = k4_struct_0(k5_cc0sp2(A)) ) )).
fof(t20_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(A) => ( ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & k8_nat_1(k2_numbers,B,D) != k8_nat_1(k2_numbers,A,D) ) ) | k3_comseq_2(A) = k3_comseq_2(B) ) ) ) ) )).
fof(t20_cfuncdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ! [E] : ( m2_funct_2(E,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ( ( C = k2_tarski(A,B) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(D,F) = k6_complex1 ) & ( F != A => k1_funct_1(D,F) = k5_numbers ) ) ) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(E,F) = k5_numbers ) & ( F != A => k1_funct_1(E,F) = k6_complex1 ) ) ) ) => ( A = B | ! [F] : ( m2_funct_2(F,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & F = k1_binop_1(k1_cfuncdom(C),k1_funct_1(k3_cfuncdom(C),k4_tarski(G,D)),k1_funct_1(k3_cfuncdom(C),k4_tarski(H,E))) ) ) ) ) ) ) ) ) )).
fof(t20_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k46_valued_1(A,k2_numbers,k2_numbers,k19_valued_1(A,k2_numbers,k2_numbers,D,B),k19_valued_1(A,k2_numbers,k2_numbers,D,C)),k19_valued_1(A,k2_numbers,k2_numbers,D,k46_valued_1(A,k2_numbers,k2_numbers,B,C))) ) ) ) ) )).
fof(t20_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => ( r1_xxreal_0(B,1) | r2_tarski(k6_xcmplx_0(B,1),k4_finseq_1(A)) ) ) ) ) )).
fof(t20_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( m2_chain_1(k4_tarski(B,C),A) & m2_chain_1(k4_tarski(B,D),A) ) => C = D ) ) ) ) ) )).
fof(t20_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v4_glib_001(B,A) <=> k3_finseq_1(B) = k1_nat_1(k2_nat_1(2,k4_card_1(k14_glib_001(A,B))),1) ) ) ) )).
fof(t20_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(A,D))) => v1_circuit2(k5_facirc_1(A,D,I,G),A,D) ) & ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(B,E))) => v1_circuit2(k5_facirc_1(B,E,I,H),B,E) ) ) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(C,F))) => v1_circuit2(k5_facirc_1(C,F,I,k2_xcmplx_0(G,H)),C,F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msafree2(B,A) & v5_circcmb3(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => r8_pboole(u1_struct_0(A),k1_circcmb3(A,B,C),k6_circuit2(A,B,C)) ) ) ) )).
fof(t20_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_msualg_1(C) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( l3_msualg_1(F,C) => ( ( r2_circcomb(A,B,D,E) & r2_circcomb(B,C,E,F) & r2_circcomb(C,A,F,D) ) => r2_circcomb(k2_circcomb(A,B),C,k3_circcomb(A,B,D,E),F) ) ) ) ) ) ) ) )).
fof(t20_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( ( v1_circled1(D,A) & m1_rlvect_2(D,A) ) => ? [E] : ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(k7_domain_1(u1_struct_0(A),B,C),E) & ~ ( v1_circled1(D,A) & m2_rlvect_2(D,A,E) ) ) ) ) ) ) ) )).
fof(t20_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m4_msaterm(C,A,B) => ! [D] : ( m3_msaterm(D,A,C) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B)))) => ! [F] : ( m1_circtrm1(F,A,C,D,B,E) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => m1_circtrm1(F,A,C,D,B,k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,G)) ) ) ) ) ) ) ) )).
fof(t20_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_ckspace1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_ckspace1(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_ckspace1(A,B,C))) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( G = D & H = E & I = F ) => ( F = k3_rlvect_1(k2_ckspace1(A,B,C),D,E) <=> ! [J] : ( m2_subset_1(J,k1_euclid(A),C) => k1_funct_1(I,J) = k2_xcmplx_0(k1_funct_1(G,J),k1_funct_1(H,J)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_classes1,axiom,( ! [A] : ? [B] : ( v3_ordinal1(B) & k3_classes1(A,B) = k1_classes1(A) & ! [C] : ( v3_ordinal1(C) => ~ ( r2_tarski(C,B) & k3_classes1(A,C) = k1_classes1(A) ) ) ) )).
fof(t20_classes2,axiom,( ! [A] : ( v2_classes1(A) => ( A = k1_xboole_0 | ( k1_card_1(A) != k5_numbers & k1_card_1(A) != k1_xboole_0 & v4_ordinal1(k1_card_1(A)) ) ) ) )).
fof(t20_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_clopban1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k4_struct_0(B) ) => v2_clopban1(C,A,B) ) ) ) ) )).
fof(t20_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ( v4_normsp_0(k9_clopban2(A)) & v3_normsp_0(k9_clopban2(A)) & v8_clvect_1(k9_clopban2(A)) & v2_rlvect_1(k9_clopban2(A)) & v3_rlvect_1(k9_clopban2(A)) & v4_rlvect_1(k9_clopban2(A)) & v13_algstr_0(k9_clopban2(A)) & v3_group_1(k9_clopban2(A)) & v3_vectsp_1(k9_clopban2(A)) & v1_vectsp_1(k9_clopban2(A)) & v2_clvect_1(k9_clopban2(A)) & v3_clvect_1(k9_clopban2(A)) & v4_clvect_1(k9_clopban2(A)) & v2_cfuncdom(k9_clopban2(A)) & v2_clvect_1(k9_clopban2(A)) & v3_clvect_1(k9_clopban2(A)) & v4_clvect_1(k9_clopban2(A)) & v5_clvect_1(k9_clopban2(A)) ) ) )).
fof(t20_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_clopban3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v1_xcmplx_0(C) => ( v1_clopban3(k6_clvect_1(A,B,C),A) & k1_clopban3(A,k6_clvect_1(A,B,C)) = k1_clvect_1(A,k1_clopban3(A,B),C) ) ) ) ) )).
fof(t20_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_normsp_0(A,k1_clopban4(A,C),k5_numbers) = k5_struct_0(A) & k1_normsp_0(A,k2_clopban4(k5_numbers,A,C,B),k5_numbers) = k5_struct_0(A) ) ) ) ) )).
fof(t20_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ! [D] : ( m2_pboole(D,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( ( v1_closure1(C,A,B) & v1_closure1(D,A,B) ) => v1_closure1(k3_closure1(A,B,D,C),A,B) ) ) ) ) )).
fof(t20_closure2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_closure2(B,C))) => ( ( r2_tarski(A,B) & F = k2_tarski(D,E) ) => k1_funct_1(k4_closure2(B,C,F),A) = k2_tarski(k1_funct_1(D,A),k1_funct_1(E,A)) ) ) ) ) ) )).
fof(t20_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) => ( B = k1_xboole_0 | r2_tarski(k4_struct_0(A),B) ) ) ) ) )).
fof(t20_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_2(B,A) => v2_comseq_2(k2_clvect_2(A,B)) ) ) ) )).
fof(t20_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_normsp_0(A,B,1) = k5_algstr_0(A,k2_clvect_3(A,B,1),k2_clvect_3(A,B,k5_numbers)) ) ) )).
fof(t20_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => B = k4_tarski(k4_tarski(k6_coh_sp(A,B),k7_coh_sp(A,B)),k2_xfamily(B)) ) )).
fof(t20_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v8_cohsp_1(A) ) => ( v1_classes1(k9_xtuple_0(A)) => ! [B] : ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_1(A,B) = k3_tarski(k7_relat_1(A,k5_finsub_1(B))) ) ) ) )).
fof(t20_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_collsp(D,A) => ! [E] : ( m2_collsp(E,A) => ( ( r2_tarski(B,D) & r2_tarski(C,D) & r2_tarski(B,E) & r2_tarski(C,E) ) => ( B = C | D = E ) ) ) ) ) ) ) )).
fof(t20_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_combgras(B,A,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A))) => ( ( v6_combgras(B,A,A) & v1_combgras(C,A) ) => v1_combgras(k4_combgras(A,A,B,C),A) ) ) ) ) )).
fof(t20_compl_sp,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_compts_1(A) => v8_compl_sp(A) ) ) )).
fof(t20_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k3_complex1(k5_xcmplx_0(A)) = k7_xcmplx_0(k3_complex1(A),k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A)))) & k4_complex1(k5_xcmplx_0(A)) = k7_xcmplx_0(k1_real_1(k4_complex1(A)),k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A)))) ) ) )).
fof(t20_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( ~ r1_xxreal_0(k28_sin_cos,k1_comptrig(A)) & ~ r1_xxreal_0(k28_sin_cos,k1_comptrig(B)) & r1_xxreal_0(k28_sin_cos,k1_comptrig(k2_xcmplx_0(A,B))) ) ) ) )).
fof(t20_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ~ ( A != k4_struct_0(k1_complfld) & B != k4_struct_0(k1_complfld) & k3_rlvect_1(k1_complfld,k9_algstr_0(k1_complfld,A),k9_algstr_0(k1_complfld,B)) != k8_group_1(k1_complfld,k3_rlvect_1(k1_complfld,A,B),k9_algstr_0(k1_complfld,k8_group_1(k1_complfld,A,B))) ) ) ) )).
fof(t20_complsp2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_2(C,k2_numbers,k4_finseq_2(A,k2_numbers)) => ! [D] : ( m2_finseq_2(D,k2_numbers,k4_finseq_2(A,k2_numbers)) => k9_matrix_5(k2_complsp2(A,C,D),B) = k6_xcmplx_0(k9_matrix_5(C,B),k9_matrix_5(D,B)) ) ) ) ) )).
fof(t20_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) ) => ( k4_card_1(k7_compos_1(A,B,C)) = k6_xcmplx_0(k1_nat_1(k4_card_1(B),k4_card_1(C)),1) & k4_card_1(k7_compos_1(A,B,C)) = k7_nat_d(k1_nat_1(k4_card_1(B),k4_card_1(C)),1) ) ) ) ) )).
fof(t20_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) ) => B = k1_funct_4(k63_valued_1(B),k17_funcop_1(k62_valued_1(B),k2_compos_1(A))) ) ) )).
fof(t20_comptrig,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,k2_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(t20_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_pre_topc(D,A) => ! [E] : ( m1_pre_topc(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) => ( ( k2_xboole_0(k2_struct_0(D),k2_struct_0(E)) = k2_struct_0(A) & k9_subset_1(u1_struct_0(E),k2_struct_0(D),k2_struct_0(E)) = k6_domain_1(u1_struct_0(A),C) & v1_compts_1(D) & v1_compts_1(E) & v8_pre_topc(A) & v5_pre_topc(F,D,B) & v5_pre_topc(G,E,B) & k1_funct_1(F,C) = k1_funct_1(G,C) ) => ( v1_funct_1(k1_funct_4(F,G)) & v1_funct_2(k1_funct_4(F,G),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_funct_4(F,G),A,B) & m1_subset_1(k1_funct_4(F,G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) ) ) ) )).
fof(t20_comput_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v2_margrel1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),B))) ) => r1_tarski(k1_relset_1(k3_finseq_2(A),C),k4_finseq_2(k18_margrel1(C),A)) ) )).
fof(t20_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C)),k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B),C)) ) ) ) )).
fof(t20_comseq_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & v2_comseq_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k3_comseq_2(k2_comseq_2(k4_ordinal1,k25_valued_1(k4_ordinal1,k2_numbers,B,A))) = k3_xcmplx_0(k8_complex1(A),k8_complex1(k3_comseq_2(B))) ) ) )).
fof(t20_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v1_xcmplx_0(B) => ( r2_funct_2(k4_ordinal1,k1_numbers,k7_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B)),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k7_comseq_3(A),k3_complex1(B)),k26_valued_1(k4_ordinal1,k1_numbers,k8_comseq_3(A),k4_complex1(B)))) & r2_funct_2(k4_ordinal1,k1_numbers,k8_comseq_3(k25_valued_1(k4_ordinal1,k2_numbers,A,B)),k1_series_1(k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k8_comseq_3(A),k3_complex1(B)),k26_valued_1(k4_ordinal1,k1_numbers,k7_comseq_3(A),k4_complex1(B)))) ) ) ) )).
fof(t20_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u4_struct_0(A))) & ~ v4_conlat_1(g2_conlat_1(A,B,C),A) & v6_conlat_1(g2_conlat_1(A,B,C),A) & l2_conlat_1(g2_conlat_1(A,B,C),A) ) <=> k3_funct_2(k9_setfam_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),k3_funct_2(k1_zfmisc_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),B)) = B ) ) ) )).
fof(t20_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_conlat_1(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => k8_conlat_2(k7_conlat_2(A),k8_conlat_2(A,B)) = B ) ) )).
fof(t20_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_connsp_1(A) & v2_connsp_1(B,A) & k7_subset_1(u1_struct_0(A),k2_struct_0(A),B) = k4_subset_1(u1_struct_0(A),C,D) & r1_connsp_1(A,C,D) ) => ( v2_connsp_1(k4_subset_1(u1_struct_0(A),B,C),A) & v2_connsp_1(k4_subset_1(u1_struct_0(A),B,D),A) ) ) ) ) ) ) )).
fof(t20_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v10_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B != k1_xboole_0 & C != k2_struct_0(A) & r1_tarski(B,C) & v4_pre_topc(B,A) & v3_pre_topc(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r1_tarski(B,D) & r1_tarski(k2_pre_topc(A,D),C) ) ) ) ) ) ) ) )).
fof(t20_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = u1_struct_0(A) => m1_connsp_3(B,A) ) ) ) )).
fof(t20_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( B = a_3_4_convex1(A,C,D) => v1_convex1(B,A) ) ) ) ) ) )).
fof(t20_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_convex4(C,A) => ! [D] : ( m1_convex4(D,A) => ( ( m2_convex4(C,A,B) & m2_convex4(D,A,B) ) => m2_convex4(k5_convex4(A,C,D),A,B) ) ) ) ) ) )).
fof(t20_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v4_qc_lang1(C,A) => k13_cqc_lang(A,C,B) = k14_qc_lang1(A,k13_cqc_lang(A,k19_qc_lang1(A,C),B),k13_cqc_lang(A,k20_qc_lang1(A,C),B)) ) ) ) ) )).
fof(t20_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ( k13_cqc_sim1(A,B) = k26_qc_lang1(A) <=> v6_qc_lang1(B,A) ) ) ) )).
fof(t20_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( v1_cqc_the1(B,A) <=> k1_cqc_the1(A,B) = B ) ) ) )).
fof(t20_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ~ r2_tarski(C,k24_qc_lang1(A,B)) => v2_cqc_the1(k8_cqc_lang(A,k12_cqc_lang(A,C,B),B),A) ) ) ) ) )).
fof(t20_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r4_cqc_the3(A,B,C) <=> k1_cqc_the1(A,B) = k1_cqc_the1(A,C) ) ) ) ) )).
fof(t20_csspace,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v2_csspace(C) & l1_csspace(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k10_csspace(C,k3_rlvect_1(C,k1_clvect_1(C,D,A),k1_clvect_1(C,E,B)),F) = k2_xcmplx_0(k3_xcmplx_0(A,k10_csspace(C,D,F)),k3_xcmplx_0(B,k10_csspace(C,E,F))) ) ) ) ) ) ) )).
fof(t20_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_csspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_csspace4(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_csspace4(A,B))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_csspace4(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,u1_struct_0(B)) & v1_csspace4(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,u1_struct_0(B)) & v1_csspace4(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( F = C & G = D & H = E ) => ( E = k1_algstr_0(k9_csspace4(A,B),C,D) <=> ! [I] : ( m1_subset_1(I,A) => k3_funct_2(A,u1_struct_0(B),H,I) = k3_rlvect_1(B,k3_funct_2(A,u1_struct_0(B),F,I),k3_funct_2(A,u1_struct_0(B),G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_dblseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( m1_subset_1(E,A) => r2_funct_2(B,k1_numbers,k5_mesfunc9(A,B,k1_numbers,k3_valued_1(k2_zfmisc_1(A,B),k1_numbers,k1_numbers,C,D),E),k3_valued_1(B,k1_numbers,k1_numbers,k5_mesfunc9(A,B,k1_numbers,C,E),k5_mesfunc9(A,B,k1_numbers,D,E))) ) ) ) ) ) )).
fof(t20_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_decomp_1(C,A,B) <=> ( v8_decomp_1(C,A,B) & v16_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t20_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ? [J] : ( m2_finseq_1(J,A) & v3_card_1(J,8) & k1_funct_1(J,1) = B & k1_funct_1(J,2) = C & k1_funct_1(J,3) = D & k1_funct_1(J,4) = E & k1_funct_1(J,5) = F & k1_funct_1(J,6) = G & k1_funct_1(J,7) = H & k1_funct_1(J,8) = I ) ) ) ) ) ) ) ) ) ) )).
fof(t20_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v1_wellfnd1(k5_dickson(A)) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B != k1_xboole_0 & ! [C] : ~ r2_hidden(C,k6_dickson(A,B)) ) ) ) ) )).
fof(t20_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v3_funct_1(C) => ! [D] : ( v1_xreal_0(D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,B),k1_nat_1(A,1)),D) = k5_numbers ) ) ) ) ) )).
fof(t20_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v3_funct_1(D) => k10_diff_1(D,A,B,C) = k5_numbers ) ) ) ) ) )).
fof(t20_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k9_diff_1(C,B,k2_xcmplx_0(B,A)) = k7_xcmplx_0(k1_funct_1(k3_diff_1(C,A),B),A) ) ) ) )).
fof(t20_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_tarski(k6_xcmplx_0(B,A),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) & r2_hidden(B,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) ) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k1_fdiff_9),A),B) = k4_xcmplx_0(k3_xcmplx_0(4,k7_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2,B),A)),k17_sin_cos(A)),k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(2,B)),k17_sin_cos(k3_xcmplx_0(2,k6_xcmplx_0(B,A))))))) ) ) ) )).
fof(t20_dilworth,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_dilworth(A) & l1_orders_2(A) ) => ( ( v1_dilworth(k2_struct_0(A),A) & m1_subset_1(k2_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) => k2_dilworth(A) = 1 ) ) )).
fof(t20_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_diraf(A,B,C,D,D) & r2_diraf(A,D,D,B,C) ) ) ) ) ) )).
fof(t20_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_dist_1(B,A) => ( m2_subset_1(k8_dist_1(A,B),k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) & k3_funct_2(k6_dist_1(A),k3_finseq_2(k1_numbers),k7_dist_1(A),k8_dist_1(A,B)) = B ) ) ) )).
fof(t20_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_2(B,A,k3_finseq_2(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_prob_1(D,k4_finseq_1(B)) & v4_prob_1(D,k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k4_finseq_1(B)))) ) => ( D = k9_setfam_1(k4_finseq_1(B)) => m1_prob_1(k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,C),k7_margrel1),k4_finseq_1(B),D) ) ) ) ) ) )).
fof(t20_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => k3_zfmisc_1(A,B,C) = a_3_0_domain_1(A,B,C) ) ) ) )).
fof(t20_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k12_dualsp01(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k12_dualsp01(A))) => ! [D] : ( v1_xreal_0(D) => ( C = k1_rlvect_1(k12_dualsp01(A),B,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k13_dualsp01(A,C,E) = k3_xcmplx_0(D,k13_dualsp01(A,B,E)) ) ) ) ) ) ) )).
fof(t20_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( ~ v7_struct_0(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(k17_dualsp01(A))) => ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) & D = a_3_1_dualsp02(A,B,C) & ~ r1_xxreal_0(k1_xxreal_0,k1_xxreal_2(D)) ) ) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ~ ( C = a_2_2_dualsp02(A,B) & ~ r1_xxreal_0(k1_xxreal_0,k1_xxreal_2(C)) ) ) ) ) ) )).
fof(t20_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( m1_dynkin(B,A) & v2_finsub_1(B) ) => ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) ) )).
fof(t20_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( r1_tarski(k10_e_siec(A),k2_zfmisc_1(k8_e_siec(A),k7_e_siec(A))) & r1_tarski(k11_e_siec(A),k2_zfmisc_1(k8_e_siec(A),k7_e_siec(A))) ) ) )).
fof(t20_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ( ( B = k5_numbers | C = k5_numbers ) <=> k8_group_1(k9_int_3(A),B,C) = k5_numbers ) ) ) ) )).
fof(t20_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ( B = k5_int_1(2,A) => k3_rlvect_1(k9_int_3(A),C,C) = k8_group_1(k9_int_3(A),B,C) ) ) ) ) )).
fof(t20_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k2_ens_1(A)) => ( r2_tarski(D,k7_ens_1(A,B,C)) => r2_tarski(k2_xfamily(D),k1_funct_2(B,C)) ) ) ) ) ) )).
fof(t20_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => k8_matrix_0(k1_numbers,k10_matrixr1(A),B) = k2_matrprob(k1_funct_1(A,B)) ) ) ) )).
fof(t20_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k2_tarski(F,G)) )).
fof(t20_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( r2_hidden(C,A) => r2_hidden(C,k6_eqrel_1(A,A,B,C)) ) ) )).
fof(t20_equation,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_msualg_2(D,B,k14_pralg_2(A,B,C)) => ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ! [F] : ( r2_hidden(F,k3_msualg_1(B,E,D)) => ( v1_relat_1(k1_funct_1(k5_msualg_1(B,E,D),F)) & v1_funct_1(k1_funct_1(k5_msualg_1(B,E,D),F)) & v1_relat_1(k1_funct_1(k5_msualg_1(B,E,k14_pralg_2(A,B,C)),F)) & v1_funct_1(k1_funct_1(k5_msualg_1(B,E,k14_pralg_2(A,B,C)),F)) ) ) ) ) ) ) )).
fof(t20_euclid,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v3_valued_0(B) ) => k12_rvsum_1(k8_rvsum_1(A,B)) = k12_rvsum_1(k8_rvsum_1(B,A)) ) ) )).
fof(t20_euclid10,axiom,( k17_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,6))) = k4_xcmplx_0(k7_xcmplx_0(1,2)) & k19_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,6))) = k7_xcmplx_0(k3_square_1(3),2) & k1_sin_cos4(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,6))) = k4_xcmplx_0(k7_xcmplx_0(k3_square_1(3),3)) & k17_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,3))) = k4_xcmplx_0(k7_xcmplx_0(k3_square_1(3),2)) & k19_sin_cos(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,3))) = k7_xcmplx_0(1,2) & k1_sin_cos4(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,3))) = k4_xcmplx_0(k3_square_1(3)) )).
fof(t20_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( v1_xreal_0(D) => k22_rvsum_1(B,k1_rlvect_1(k15_euclid(A),C,D)) = k3_xcmplx_0(D,k22_rvsum_1(B,C)) ) ) ) ) )).
fof(t20_euclid_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k2_euclid_3(k1_rlvect_1(k15_euclid(2),B,A)) = k3_xcmplx_0(A,k2_euclid_3(B)) ) ) )).
fof(t20_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => k22_rvsum_1(k7_euclid(A,B,C),D) = k2_xcmplx_0(k22_rvsum_1(B,D),k22_rvsum_1(C,D)) ) ) ) ) )).
fof(t20_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k5_euclid_5(k4_euclid_5(A,k5_numbers,k5_numbers),k4_euclid_5(B,k5_numbers,k5_numbers)) = k4_struct_0(k15_euclid(3)) ) ) )).
fof(t20_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ~ r1_rltopsp1(k15_euclid(2),A,B,C) <=> ( r1_zfmisc_1(A,B,C) & k4_euclid_3(A,B,C) != k28_sin_cos & k4_euclid_3(B,C,A) != k28_sin_cos & k4_euclid_3(C,A,B) != k28_sin_cos ) ) ) ) ) )).
fof(t20_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => v6_euclid_7(k6_domain_1(k1_euclid(A),k5_euclid(A)),A) ) )).
fof(t20_euclid_8,axiom,( k5_euclid_8(k2_euclid_8,k4_euclid_8) = k6_euclid(3,k3_euclid_8) )).
fof(t20_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => ~ ( A != k5_numbers & r2_tarski(D,k4_euclid_9(A,C,B)) & r1_xxreal_0(B,k1_funct_1(k3_euclid(k8_rvsum_1(D,C)),k1_euclid_9(A,D,C))) ) ) ) ) ) )).
fof(t20_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(B)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) => k9_euclid(B,k7_euclid(B,k7_euclid(B,C,D),E),A) = k7_euclid(B,k7_euclid(B,k9_euclid(B,C,A),k9_euclid(B,D,A)),k9_euclid(B,E,A)) ) ) ) ) ) )).
fof(t20_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( r1_analmetr(B,C,D) & A = k2_analmetr(B,C,D) ) => v5_conaffm(A) ) ) ) ) ) )).
fof(t20_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_int_2(A) => k1_euler_1(A) = k6_xcmplx_0(A,1) ) ) )).
fof(t20_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k1_exchsort(A) = k2_ordinal2(k9_xtuple_0(A)) ) )).
fof(t20_extpro_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v1_setfam_1(C) ) => ( r1_xxreal_0(A,B) => ! [D] : ( ( ~ v2_struct_0(D) & v2_memstr_0(D,C) & v3_memstr_0(D,C) & v3_extpro_1(D,C) & l1_extpro_1(D,C) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(D)) & v1_funct_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,u1_struct_0(D)) & v1_funct_1(F) & v5_funct_1(F,k2_memstr_0(C,D)) & v1_partfun1(F,u1_struct_0(D)) ) => ( r1_compos_1(D,E,k5_memstr_0(C,D,k5_extpro_1(C,D,E,F,A))) => k5_extpro_1(C,D,E,F,B) = k5_extpro_1(C,D,E,F,A) ) ) ) ) ) ) ) ) )).
fof(t20_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( r1_xxreal_0(k2_supinf_2(k3_extreal1(A)),A) & r1_xxreal_0(A,k3_extreal1(A)) ) ) )).
fof(t20_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,u1_struct_0(k2_circcomb(A,B))) & r2_tarski(C,u1_struct_0(k2_circcomb(B,A))) ) ) ) ) )).
fof(t20_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & k2_msafree2(k15_facirc_1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t20_fcont_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,B)) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A),B)) ) ) ) )).
fof(t20_fcont_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,A) & r1_tarski(k1_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,C),k1_rcomp_1(k3_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A))),k2_seq_4(k7_relset_1(k1_numbers,k1_numbers,C,k1_rcomp_1(B,A)))))) ) ) ) ) )).
fof(t20_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(k1_limfunc1(A),k1_relset_1(k1_numbers,B)) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k1_limfunc1(A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k1_limfunc1(A))) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k1_limfunc1(A))),k7_relset_1(k1_numbers,k1_numbers,B,k1_limfunc1(A)))) ) ) ) ) )).
fof(t20_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,C,A))) & r2_fdiff_1(C,B) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,C,A),B),D) = k3_xcmplx_0(A,k1_fdiff_1(C,D)) ) ) ) ) ) ) ) )).
fof(t20_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k22_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k22_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k22_sin_cos),A),B) = k3_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k22_sin_cos,B)),k1_funct_1(k22_sin_cos,B)) ) ) ) ) ) )).
fof(t20_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k27_sin_cos))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k27_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k27_sin_cos),A),B) = k7_xcmplx_0(1,k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k2_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t20_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_fdiff_1(B,A) & r2_fdiff_1(C,A) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_1(B,A),C),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k2_fdiff_1(C,A)))) ) ) ) ) ) )).
fof(t20_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r3_fdiff_3(A,B) => ( k1_funct_1(A,B) = k5_numbers | ( r3_fdiff_3(k6_rfunct_1(k1_numbers,k1_numbers,A),B) & k2_fdiff_3(B,k6_rfunct_1(k1_numbers,k1_numbers,A)) = k4_xcmplx_0(k7_xcmplx_0(k2_fdiff_3(B,A),k1_square_1(k1_funct_1(A,B)))) ) ) ) ) ) )).
fof(t20_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(C,E) = A ) ) & D = k1_taylor_1(3) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),B),E) = k3_xcmplx_0(3,k1_newton(E,2)) ) ) ) ) ) ) ) ) )).
fof(t20_fdiff_5,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_taylor_1))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_taylor_1),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_taylor_1),A),B) = k2_xcmplx_0(1,k1_funct_1(k3_taylor_1,B)) ) ) ) ) ) )).
fof(t20_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,B),k3_taylor_1))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(B,C) = 1 ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,B),k3_taylor_1),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,B),k3_taylor_1),A),C) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,C),k2_xcmplx_0(k1_funct_1(k22_sin_cos,C),1)) ) ) ) ) ) ) )).
fof(t20_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k1_sin_cos6),k7_xcmplx_0(1,2)))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => ( k1_funct_1(B,C) = k3_xcmplx_0(2,C) & ~ r1_xxreal_0(k1_funct_1(B,C),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(B,C)) ) ) ) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k1_sin_cos6),k7_xcmplx_0(1,2)),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k1_sin_cos6),k7_xcmplx_0(1,2)),A),C) = k7_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(k3_xcmplx_0(2,C))))) ) ) ) ) ) ) )).
fof(t20_fdiff_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k1_taylor_1(A)))) & r1_xxreal_0(1,A) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k1_taylor_1(A)),B) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k1_taylor_1(A)),B),C) = k7_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k16_sin_cos,C),k6_xcmplx_0(A,1))),k3_prepower(k1_funct_1(k18_sin_cos,C),k1_nat_1(A,1))) ) ) ) ) ) ) )).
fof(t20_fdiff_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_taylor_1(A)))) & r1_xxreal_0(1,A) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_taylor_1(A)),B) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_taylor_1(A)),B),C) = k7_xcmplx_0(k3_xcmplx_0(A,k1_funct_1(k16_sin_cos,C)),k3_prepower(k1_funct_1(k18_sin_cos,C),k1_nat_1(A,1))) ) ) ) ) ) ) )).
fof(t20_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k3_relat_1(k8_ff_siec(A),k4_xboole_0(k8_ff_siec(A),k4_relat_1(k2_net_1(A)))) = k1_xboole_0 & k3_relat_1(k7_ff_siec(A),k4_xboole_0(k7_ff_siec(A),k4_relat_1(k2_net_1(A)))) = k1_xboole_0 ) ) )).
fof(t20_fib_num2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ? [B] : ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & r1_tarski(A,B) ) ) )).
fof(t20_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_fib_num3(k1_nat_1(A,1)) = k1_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,2))) ) )).
fof(t20_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( A != k5_numbers => k1_int_1(k7_xcmplx_0(k2_power(k1_fib_num,k3_xcmplx_0(2,A)),k3_square_1(5))) = k1_pre_ff(k3_xcmplx_0(2,A)) ) ) )).
fof(t20_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_finseq_8(A,C) => ( r2_finseq_8(A,B,C,1) | r5_finseq_8(A,k8_finseq_1(A,B,C),C) ) ) ) ) ) )).
fof(t20_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & B != k5_lattices(A) & ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(B,C) & v1_filter_0(C,A) ) ) ) ) ) )).
fof(t20_filter_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v2_struct_0(k4_filter_1(A,B)) & v10_lattices(k4_filter_1(A,B)) & v17_lattices(k4_filter_1(A,B)) & l3_lattices(k4_filter_1(A,B)) ) ) ) )).
fof(t20_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) <=> ( ~ v1_xboole_0(B) & v19_lattices(B,k1_lattice2(A)) & v20_lattices(B,k1_lattice2(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) ) ) )).
fof(t20_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,k10_fin_topo(A,C)) & r2_tarski(B,k9_fin_topo(A,k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B)))) ) ) ) ) )).
fof(t20_finance2,axiom,( m1_prob_1(k4_xboole_0(k1_numbers,k3_numbers),k1_numbers,k12_prob_1) )).
fof(t20_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ( A != k1_xboole_0 <=> r1_xxreal_0(1,k3_finseq_1(A)) ) ) )).
fof(t20_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( C = k5_relat_1(B,k1_finseq_1(A)) & r1_xxreal_0(k3_finseq_1(B),A) ) => B = C ) ) ) ) )).
fof(t20_finseq_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( k2_finseq_1(A) = k1_tarski(B) => ( A = 1 & B = 1 ) ) ) )).
fof(t20_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(A)) => r2_tarski(k4_finseq_4(A,B),k4_finseq_1(A)) ) ) )).
fof(t20_finseq_5,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ( ~ v1_xboole_0(B) => k17_finseq_1(A,1,B) = k9_finseq_1(k7_partfun1(A,B,1)) ) ) )).
fof(t20_finseq_6,axiom,( ! [A] : ! [B] : ( A != B => k4_finseq_4(k10_finseq_1(A,B),B) = 2 ) )).
fof(t20_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_finseq_7(A,k2_finseq_7(A,B,C,D),D,C) = B ) ) ) ) )).
fof(t20_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r2_finseq_8(A,B,C,k5_numbers) => r2_finseq_8(A,B,C,1) ) ) ) ) )).
fof(t20_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [G] : ( ( v3_card_1(G,E) & m2_finseq_1(G,B) ) => r2_relset_1(k4_ordinal1,C,k1_finseqop(A,B,C,F,k5_finseq_2(A,E,D),G),k3_finseqop(A,B,C,F,D,G)) ) ) ) ) ) ) ) )).
fof(t20_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( k3_finseq_1(B) = 1 => k1_finsop_1(A,B,C) = k1_funct_1(B,1) ) ) ) ) )).
fof(t20_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k9_fintopo2(A,C)) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,k6_fintopo2(A,B)) & r1_xboole_0(D,C) ) ) ) ) ) ) )).
fof(t20_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_fintopo3(A,B,1) = k8_fin_topo(A,B) ) ) )).
fof(t20_fintopo4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(A,k5_numbers) => v3_orders_2(k4_fintopo4(A)) ) ) )).
fof(t20_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_orders_2(A) & v1_fin_topo(A) & v1_fintopo6(A) & B != k1_xboole_0 & k3_subset_1(u1_struct_0(A),B) != k1_xboole_0 & k7_fin_topo(A,B) = k1_xboole_0 ) ) ) )).
fof(t20_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => ( k4_subset_1(k3_catalan2(A),k6_flang_1(A,B,C),k6_flang_1(A,B,D)) = k6_flang_1(A,B,k4_subset_1(k3_catalan2(A),C,D)) & k4_subset_1(k3_catalan2(A),k6_flang_1(A,C,B),k6_flang_1(A,D,B)) = k6_flang_1(A,k4_subset_1(k3_catalan2(A),C,D),B) ) ) ) ) )).
fof(t20_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,C) & r1_xxreal_0(C,E) ) => r1_tarski(k7_flang_1(A,B,C),k1_flang_2(A,B,D,E)) ) ) ) ) ) )).
fof(t20_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k8_flang_1(A,k1_flang_3(A,B,C)) = k2_flang_2(A,k1_flang_3(A,B,C)) ) ) )).
fof(t20_fomodel0,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => A = a_1_1_fomodel0(A) ) )).
fof(t20_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_fomodel2(E,B,C) ) => r2_relset_1(k35_fomodel1(B),C,k5_relset_1(k35_fomodel1(B),C,k10_funct_5(k4_ordinal1,k35_fomodel1(B),C,k9_funct_2(k35_fomodel1(B),C),k7_fomodel2(B,C,D,E),k1_nat_1(A,1)),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A)),k5_relset_1(k35_fomodel1(B),C,k9_fomodel2(B,C,E),k8_nat_1(k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))),k39_fomodel1(B),A))) ) ) ) ) ) )).
fof(t20_fomodel4,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v1_orders_4(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_fomodel2(C,B) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ( r1_tarski(A,k30_fomodel2(B)) & v13_fomodel2(C,A,B) ) => v17_fomodel4(C,A,B) ) ) ) )).
fof(t20_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => v1_frechet(k3_pcomps_1(A)) ) )).
fof(t20_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ( v3_frechet(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A,B) = k1_frechet2(A,B) ) ) ) )).
fof(t20_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => k3_msafree2(k8_fscirc_1(A,B,C)) = k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),k9_facirc_1(A,B,C,k1_facirc_1)),k1_enumset1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(A,C),k2_twoscomp))),k1_tarski(k6_fscirc_1(A,B,C))) ) ) ) )).
fof(t20_fscirc_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_facirc_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_facirc_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( k2_msafree2(k1_fscirc_2(k1_nat_1(C,1),A,B)) = k2_xboole_0(k2_msafree2(k1_fscirc_2(C,A,B)),k7_subset_1(u1_struct_0(k8_fscirc_1(k1_funct_1(A,k1_nat_1(C,1)),k1_funct_1(B,k1_nat_1(C,1)),k3_fscirc_2(C,A,B))),k2_msafree2(k8_fscirc_1(k1_funct_1(A,k1_nat_1(C,1)),k1_funct_1(B,k1_nat_1(C,1)),k3_fscirc_2(C,A,B))),k1_tarski(k3_fscirc_2(C,A,B)))) & v1_relat_1(k3_msafree2(k1_fscirc_2(C,A,B))) & ~ v1_facirc_1(k2_msafree2(k1_fscirc_2(C,A,B))) ) ) ) ) )).
fof(t20_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ( r5_fsm_1(A,B,C,D,E) => ! [F] : ( m2_finseq_1(F,A) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(F)) & ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ~ ( H = k1_funct_1(k2_fsm_1(A,C,D,F),G) & I = k1_funct_1(k2_fsm_1(A,C,E,F),G) & r5_fsm_1(A,B,C,H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_2(D,A,B) ) => ~ ( v1_fsm_2(D,A) & r2_fsm_2(A,C,D) & ! [E] : ( m1_subset_1(E,B) => ~ r3_fsm_2(A,B,D,C,E) ) ) ) ) ) ) )).
fof(t20_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => k6_fsm_3(A,B,C) = k3_fsm_3(A,B,C,u2_fsm_3(A,B,C)) ) ) ) )).
fof(t20_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ( E != k4_tarski(k10_finseq_1(D,k24_gfacirc1(A,B,C)),k6_twoscomp) => ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)))) => v1_circuit2(k5_facirc_1(k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E),F,4),k7_ftacell1(A,B,C,D,E),k8_ftacell1(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t20_funcop_1,axiom,( ! [A] : ! [B] : ! [C] : k1_funcop_1(k2_funcop_1(A,k4_tarski(C,B))) = k2_funcop_1(A,k4_tarski(B,C)) )).
fof(t20_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_funct_2(D,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ! [E] : ( m2_funct_2(E,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ( ( C = k2_tarski(A,B) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(D,F) = 1 ) & ( F != A => k1_funct_1(D,F) = k5_numbers ) ) ) & ! [F] : ( r2_tarski(F,C) => ( ( F = A => k1_funct_1(E,F) = k5_numbers ) & ( F != A => k1_funct_1(E,F) = 1 ) ) ) ) => ( A = B | ! [F] : ( m2_funct_2(F,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & F = k1_binop_1(k5_funcsdom(C),k1_funct_1(k7_funcsdom(C),k4_tarski(G,D)),k1_funct_1(k7_funcsdom(C),k4_tarski(H,E))) ) ) ) ) ) ) ) ) )).
fof(t20_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(B,k3_xboole_0(k9_xtuple_0(C),A)) => k1_funct_1(C,B) = k1_funct_1(k3_relat_1(k4_relat_1(A),C),B) ) ) )).
fof(t20_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( v2_funct_1(k1_partfun1(A,B,B,C,D,E)) => ( ( C = k1_xboole_0 & B != k1_xboole_0 ) | v2_funct_1(D) ) ) ) ) )).
fof(t20_funct_3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( B = k1_xboole_0 => A = k1_xboole_0 ) => ( v1_funct_1(k1_funct_3(C)) & v1_funct_2(k1_funct_3(C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & m1_subset_1(k1_funct_3(C),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(B)))) ) ) ) )).
fof(t20_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k1_funct_4(k1_xboole_0,A) = A ) )).
fof(t20_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( ( r2_hidden(k4_tarski(C,D),k9_xtuple_0(A)) & B = k1_funct_1(k1_funct_5(A),C) ) => ( r2_hidden(D,k9_xtuple_0(B)) & k1_funct_1(B,D) = k1_binop_1(A,C,D) ) ) ) ) )).
fof(t20_funct_7,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k4_ordinal1)) => ( ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,A) => ( r1_xxreal_0(B,C) | r2_tarski(C,A) ) ) ) ) => v1_card_1(A) ) ) )).
fof(t20_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_funct_8(A,k1_numbers,k1_numbers,B) => r1_funct_8(A,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,B)) ) ) ) )).
fof(t20_funct_9,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_valued_0(B) ) => ( ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k9_xtuple_0(B)) => ( r2_tarski(k2_xcmplx_0(C,A),k9_xtuple_0(B)) & r2_tarski(k6_xcmplx_0(C,A),k9_xtuple_0(B)) & k1_funct_1(B,k2_xcmplx_0(C,A)) = k5_xcmplx_0(k1_funct_1(B,C)) ) ) ) => ( A = k5_numbers | ( v1_funct_9(B,k3_xcmplx_0(2,A)) & v2_funct_9(B) ) ) ) ) ) )).
fof(t20_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_altcat_2(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ! [C] : ( l1_functor0(C,A,B) => ( v7_functor0(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & k3_functor0(A,B,C,E) = D ) ) ) ) ) ) )).
fof(t20_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & v1_altcat_2(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( v8_functor0(C,A,B) & l2_functor0(C,A,B) ) => ( v21_functor0(C,A,B) => k15_functor0(B,A,k15_functor0(A,B,C)) = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) ) ) ) ) )).
fof(t20_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_functor2(E,A,B,C,D) => ( r1_functor2(A,B,C,D) => r8_pboole(u1_struct_0(A),k5_functor3(A,B,B,C,D,E,k12_functor0(B)),E) ) ) ) ) ) ) )).
fof(t20_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k2_fuznum_1(A,B) = k1_fuznum_1(A,B,1) ) ) )).
fof(t20_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_fuzzy_1(B,D) => r1_fuzzy_1(k2_fuzzy_1(A,B,C),k2_fuzzy_1(A,D,C)) ) ) ) ) ) )).
fof(t20_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k6_fuzzy_1(A,B,C),k1_fuzzy_2(A,k2_fuzzy_1(A,B,C),k1_fuzzy_1(A,B,C))) ) ) ) )).
fof(t20_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ( k1_funct_1(k4_fuzzy_2(A,B),C) = k5_numbers & k1_funct_1(k5_fuzzy_2(A,B),C) = 1 ) ) ) ) )).
fof(t20_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_fvaluat1(C,A) => ( v3_fvaluat1(A) => k3_funct_2(u1_struct_0(A),k6_numbers,C,k4_algstr_0(A,B)) = k3_funct_2(u1_struct_0(A),k6_numbers,C,B) ) ) ) ) )).
fof(t20_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k4_fvsum_1(A,B,k5_finseq_2(u1_struct_0(B),A,C),k5_finseq_2(u1_struct_0(B),A,D)) = k5_finseq_2(u1_struct_0(B),A,k1_algstr_0(B,C,D)) ) ) ) ) )).
fof(t20_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(k14_gate_1(A,B,C,D)) <=> ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) ) )).
fof(t20_gaussint,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ec_pf_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => k5_algstr_0(A,C,D) = k5_algstr_0(B,E,F) ) ) ) ) ) ) ) )).
fof(t20_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ~ r1_xboole_0(k2_gcd_1(A,B),k2_gcd_1(A,C)) => k2_gcd_1(A,B) = k2_gcd_1(A,C) ) ) ) ) )).
fof(t20_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( r1_xxreal_0(k3_finseq_1(E),C) => k9_genealg1(D,E,F,A,B,C) = k8_genealg1(D,E,F,A,B) ) ) ) ) ) ) ) )).
fof(t20_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_analmetr(A,E,F) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ~ r2_geomtrap(A,E,F,B,D,C,G) & ~ r2_geomtrap(A,E,F,B,D,G,C) ) ) ) ) ) ) ) ) ) )).
fof(t20_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k6_circuit2(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D),k4_tarski(k10_finseq_1(A,B),k3_facirc_1)) = k9_margrel1(E,F) & k1_funct_1(k6_circuit2(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k6_circuit2(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) = k9_margrel1(G,E) ) ) ) ) ) ) )).
fof(t20_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v4_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ~ v1_xboole_0(k6_subset_1(k6_glib_000(A),k6_domain_1(k6_glib_000(A),B))) ) ) )).
fof(t20_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( C = D => ! [E] : ( m1_subset_1(E,k4_ordinal1) => k5_glib_001(A,C,E) = k5_glib_001(B,D,E) ) ) ) ) ) ) )).
fof(t20_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => r1_tarski(k2_glib_002(A,B),k1_glib_002(A,B)) ) ) )).
fof(t20_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) ) => ! [B] : ( ( v1_glib_003(B) & v4_glib_003(B,A) & m1_glib_000(B,A) ) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( C = D => k8_glib_003(A,C) = k8_glib_003(B,D) ) ) ) ) ) )).
fof(t20_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( v7_ordinal1(C) => ( k6_glib_004(A,k9_glib_004(A,k10_glib_004(A,B),C)) = k1_xboole_0 <=> k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))) = k2_glib_002(A,B) ) ) ) ) )).
fof(t20_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( k1_matrix_0(D) = k1_nat_1(B,1) & r2_tarski(C,k2_finseq_1(B)) & r2_tarski(A,k4_finseq_1(D)) ) => ( r1_xxreal_0(B,k5_numbers) | ( r2_tarski(C,k2_finseq_1(k1_matrix_0(D))) & k3_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(k1_matrix_0(D),u1_struct_0(k15_euclid(2)),D),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,C) & r2_tarski(k1_matrix_0(D),k2_finseq_1(k1_matrix_0(D))) ) ) ) ) ) ) ) )).
fof(t20_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v1_goboard1(C) & v4_goboard1(C) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) & r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) ) => r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)),k1_goboard5(C,A)) ) ) ) ) )).
fof(t20_goboard6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k1_matrix_0(B),A) | k1_tops_1(k15_euclid(2),k3_goboard5(B,k5_numbers,A)) = a_2_2_goboard6(A,B) ) ) ) ) )).
fof(t20_goboard7,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_matrix_0(A)) ) => ( r1_xboole_0(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1),C)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) | ( C = E & r1_xxreal_0(k1_int_2(k6_xcmplx_0(B,D)),1) ) ) ) ) ) ) ) ) )).
fof(t20_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(A)) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,2),k1_matrix_0(k2_goboard2(A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,1)) ) => ( ( ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k7_nat_d(k3_finseq_1(k2_goboard2(A)),1),k1_nat_1(C,1)) ) & ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,2)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k7_nat_d(k3_finseq_1(k2_goboard2(A)),1),k1_nat_1(C,1)) ) ) | r1_xboole_0(k1_rltopsp1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k7_nat_d(k3_finseq_1(k2_goboard2(A)),1),k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,2))),k7_xcmplx_0(1,2)),k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_nat_1(C,2))),k7_xcmplx_0(1,2)),k19_euclid(1,k5_numbers))),k3_topreal1(2,A)) ) ) ) ) ) ) )).
fof(t20_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => v1_convex1(k1_tops_1(k15_euclid(2),k4_goboard5(A,B)),k15_euclid(2)) ) ) ) )).
fof(t20_gobrd11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v1_goboard1(B) & r1_xxreal_0(1,A) ) => ( r1_xxreal_0(k3_finseq_1(B),A) | k1_goboard5(B,A) = a_2_0_gobrd11(A,B) ) ) ) ) )).
fof(t20_gobrd13,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) => r1_tarski(k9_matrix_0(k2_goboard2(B)),k9_matrix_0(A)) ) ) ) )).
fof(t20_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k3_topreal1(2,A) = k7_subset_1(u1_struct_0(k15_euclid(2)),k2_pre_topc(k15_euclid(2),k2_goboard9(A)),k2_goboard9(A)) ) )).
fof(t20_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v4_card_3(A) => ( ~ v1_xboole_0(k1_goedelcp(A)) & v4_card_3(k1_goedelcp(A)) ) ) ) )).
fof(t20_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( v1_gr_cy_1(A) => v1_gr_cy_1(B) ) ) ) )).
fof(t20_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( k7_group_1(A) = 2 => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( r1_group_2(A,B,k6_group_2(A)) | B = A ) ) ) ) )).
fof(t20_gr_cy_3,axiom,( k1_gr_cy_3(5) = 31 )).
fof(t20_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ? [C] : ( ~ v2_struct_0(C) & l1_graph_1(C) & r4_graph_1(A,C) & r4_graph_1(B,C) ) => ( r4_graph_1(A,k5_graph_1(A,B)) & r4_graph_1(B,k5_graph_1(A,B)) ) ) ) ) )).
fof(t20_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_graph_2(A) & v2_graph_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_graph_2(B) & v2_graph_2(B) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k10_xtuple_0(A) = k10_xtuple_0(B) & k1_funct_1(A,1) = k1_funct_1(B,1) ) => A = B ) ) ) )).
fof(t20_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : r1_tarski(k2_graph_3(A,B,C),k5_graph_3(A,B)) ) ) )).
fof(t20_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v7_graph_1(C,A) & m2_graph_1(C,A) ) => ~ ( ~ v1_graph_4(C,A) & r3_graph_4(A,B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ! [F] : ( ( v7_graph_1(F,A) & m2_graph_1(F,A) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( ~ r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(F)) & r3_graph_4(A,G,F) & ~ r1_xxreal_0(k3_finseq_1(B),k3_finseq_1(G)) & k1_funct_1(B,1) = k1_funct_1(G,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(G,k3_finseq_1(G)) & k15_finseq_1(D) = F & k15_finseq_1(E) = G ) ) ) ) ) ) ) ) ) )).
fof(t20_graph_5,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m2_finseq_1(C,u4_struct_0(B)) => ~ ( ~ r1_tarski(k2_graph_5(B,C),A) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m2_finseq_1(E,u4_struct_0(B)) => ! [F] : ( m2_finseq_1(F,u4_struct_0(B)) => ~ ( r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(C)) & ~ r1_tarski(k1_graph_5(B,k7_partfun1(u4_struct_0(B),C,k1_nat_1(D,1))),A) & k3_finseq_1(E) = D & C = k8_finseq_1(u4_struct_0(B),E,F) & r1_tarski(k2_graph_5(B,E),A) ) ) ) ) ) ) ) )).
fof(t20_graphsp,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ! [D] : ( v1_xreal_0(D) => k4_finseq_1(k2_graphsp(A,B,C,D)) = k4_finseq_1(C) ) ) ) ) )).
fof(t20_grcat_1,axiom,( ! [A] : ( ( v1_grcat_1(A) & v2_grcat_1(A) & l1_grcat_1(A) ) => ! [B] : ( ( v1_grcat_1(B) & v2_grcat_1(B) & l1_grcat_1(B) ) => ( k7_grcat_1(B) = k8_grcat_1(A) => ( k7_grcat_1(k13_grcat_1(B,A)) = k7_grcat_1(A) & k8_grcat_1(k13_grcat_1(B,A)) = k8_grcat_1(B) ) ) ) ) )).
fof(t20_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_funct_1(A) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(C,B),k2_funct_1(A)) <=> r2_hidden(k4_tarski(B,C),A) ) ) ) )).
fof(t20_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( ( v15_algstr_0(C) & m1_group_6(C,A,B) & v15_algstr_0(k1_grnilp_1(A,B,k7_group_2(A))) & m1_group_6(k1_grnilp_1(A,B,k7_group_2(A)),A,C) ) => m1_group_6(k5_group_6(B,k1_group_6(A,B,C)),k5_group_6(A,C),k10_group_5(k5_group_6(A,C))) ) ) ) ) )).
fof(t20_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r1_tarski(k2_groeb_1(A,B,C,k7_ideal_1(k12_polynom1(A,C),D)),k3_groeb_1(A,k2_groeb_1(A,B,C,D))) => v9_rewrite1(k3_polyred(A,B,C,D)) ) ) ) ) ) )).
fof(t20_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r8_pboole(k15_pre_poly(A),k3_groeb_2(A,B,C,D,k8_polynom1(A,C)),k8_polynom1(A,C)) & r8_pboole(k15_pre_poly(A),k3_groeb_2(A,B,C,k8_polynom1(A,C),D),k8_polynom1(A,C)) ) ) ) ) ) )).
fof(t20_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( ( r2_tarski(F,k3_groeb_3(A,B,C,D,E)) & r2_tarski(G,k4_groeb_3(A,B,C,D,E)) ) => r2_termord(A,B,G,F) ) ) ) ) ) ) ) ) ) )).
fof(t20_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) <=> k6_algstr_0(A,B,k2_group_1(A,C)) = k6_algstr_0(A,k2_group_1(A,C),B) ) ) ) ) )).
fof(t20_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_group_2(D,A) => k1_group_11(A,k9_subset_1(u1_struct_0(A),B,C),D) = k9_subset_1(u1_struct_0(A),k1_group_11(A,B,D),k1_group_11(A,C,D)) ) ) ) ) )).
fof(t20_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_prvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_group_14(k19_rvsum_1(A))),u1_struct_0(k19_prvect_1(B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_14(k19_rvsum_1(A))),u1_struct_0(k19_prvect_1(B))))) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r2_tarski(D,k4_finseq_1(B)) & ! [E] : ( ( v7_ordinal1(E) & ~ v8_ordinal1(E) ) => ~ ( E = k1_funct_1(A,D) & k1_funct_1(B,D) = k2_group_14(E) ) ) ) ) & ! [D] : ( v1_int_1(D) => ( r2_hidden(D,u1_struct_0(k2_group_14(k19_rvsum_1(A)))) => k1_funct_1(C,D) = k1_int_6(D,A) ) ) ) => v2_funct_1(C) ) ) ) ) )).
fof(t20_group_17,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k1_tarski(B)) & v1_funct_1(C) & v1_partfun1(C,k1_tarski(B)) & v1_group_7(C) & v2_group_7(C,k1_tarski(B)) & v3_group_7(C,k1_tarski(B)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C))))) ) => ( ( C = k17_funcop_1(B,A) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C)),D,E) = k17_funcop_1(B,E) ) ) => v3_funct_2(D,u1_struct_0(A),u1_struct_0(k2_group_7(k1_tarski(B),C))) ) ) ) ) )).
fof(t20_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v7_ordinal1(C) => ~ ( k7_group_1(A) = k1_newton(B,C) & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ! [E] : ( ( v3_card_1(E,D) & m2_finseq_1(E,u1_struct_0(A)) ) => ! [F] : ( ( v3_card_1(F,D) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k2_finseq_1(D)) & v1_funct_1(G) & v1_partfun1(G,k2_finseq_1(D)) & v1_group_7(G) & v2_group_7(G,k2_finseq_1(D)) & v3_group_7(G,k2_finseq_1(D)) & v4_group_7(G,k2_finseq_1(D)) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k2_group_7(k2_finseq_1(D),G)),u1_struct_0(A)) & v1_group_6(H,k2_group_7(k2_finseq_1(D),G),A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_finseq_1(D),G)),u1_struct_0(A)))) ) => ~ ( ! [I] : ( v7_ordinal1(I) => ~ ( r2_tarski(I,k2_finseq_1(D)) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( J = k1_funct_1(E,I) & k1_funct_1(G,I) = k5_group_4(A,k6_domain_1(u1_struct_0(A),J)) & k6_group_1(A,J) = k1_newton(B,k1_funct_1(F,I)) ) ) ) ) & ! [I] : ( v7_ordinal1(I) => ( ( r1_xxreal_0(1,I) & r1_xxreal_0(I,k6_xcmplx_0(D,1)) ) => r1_xxreal_0(k1_funct_1(F,I),k1_funct_1(F,k1_nat_1(I,1))) ) ) & ! [I] : ( m2_subset_1(I,k4_ordinal1,k2_finseq_1(D)) => ! [J] : ( m2_subset_1(J,k4_ordinal1,k2_finseq_1(D)) => ( I != J => k3_xboole_0(u1_struct_0(k1_group_7(k2_finseq_1(D),G,I)),u1_struct_0(k1_group_7(k2_finseq_1(D),G,J))) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) ) ) ) & v3_funct_2(H,u1_struct_0(k2_group_7(k2_finseq_1(D),G)),u1_struct_0(A)) & ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k2_finseq_1(D)) & v5_relat_1(I,u1_struct_0(A)) & v1_funct_1(I) & v1_partfun1(I,k2_finseq_1(D)) ) => ( ! [J] : ( m2_subset_1(J,k4_ordinal1,k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D),G,J),k1_funct_1(I,J)) ) => ( r1_struct_0(k2_group_7(k2_finseq_1(D),G),I) & k1_funct_1(H,I) = k1_group_17(A,k2_finseq_1(D),I) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( r2_funct_2(A,u1_struct_0(B),E,k14_funct_7(A,u1_struct_0(B),k8_funcop_1(u1_struct_0(B),A,k1_group_1(B)),C,D)) => ( D = k1_group_1(B) | k4_group_19(A,B,E) = k1_tarski(C) ) ) ) ) ) ) ) )).
fof(t20_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_group_2(A,k7_domain_1(u1_struct_0(A),C,D),k6_domain_1(u1_struct_0(A),B)) = k7_domain_1(u1_struct_0(A),k6_algstr_0(A,C,B),k6_algstr_0(A,D,B)) ) ) ) ) )).
fof(t20_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_group_3(A,B,B) = B ) ) )).
fof(t20_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => ! [D] : ( m2_finseq_1(D,k4_numbers) => ( r1_tarski(k10_xtuple_0(C),k8_group_2(A,B)) => r1_struct_0(B,k3_group_4(A,k4_group_4(A,D,C))) ) ) ) ) ) )).
fof(t20_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k2_group_5(A,B,B) = k1_group_1(A) ) ) )).
fof(t20_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_group_6(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_group_6(A,B))) => k6_group_6(A,B,k6_algstr_0(k5_group_6(A,B),C,D)) = k2_group_2(A,k6_group_6(A,B,C),k6_group_6(A,B,D)) ) ) ) ) )).
fof(t20_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( v1_relat_1(k10_finseq_1(A,B)) & v4_relat_1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_funct_1(k10_finseq_1(A,B)) & v1_partfun1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_group_7(k10_finseq_1(A,B)) & v2_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) & v3_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) ) ) )).
fof(t20_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ~ r1_xxreal_0(k18_group_2(A,B),k5_numbers) ) ) )).
fof(t20_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ! [D] : ( m1_group_9(D,A,B) => ! [E] : ( m1_group_9(E,A,B) => k17_group_9(A,B,k17_group_9(A,B,C,D),E) = k17_group_9(A,B,C,k17_group_9(A,B,D,E)) ) ) ) ) )).
fof(t20_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => ! [D] : ( m1_group_2(D,B) => ~ ( v1_group_3(D,B) & m1_group_2(D,B) & v2_group_10(C,A) & v2_group_10(D,A) & ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,B) ) => ~ ( u1_struct_0(E) = k7_group_4(B,C,D) & v2_group_10(E,A) ) ) ) ) ) ) ) )).
fof(t20_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,D) & r1_gtarski1(A,C,D,E) ) => ( C = D | r1_gtarski1(A,B,D,E) ) ) ) ) ) ) ) )).
fof(t20_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k4_struct_0(A)) = k5_numbers ) ) )).
fof(t20_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_relset_1(u1_struct_0(B),u1_struct_0(A),k6_hahnban1(A,B,k5_struct_0(A),C),C) ) ) ) )).
fof(t20_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( r2_tarski(C,k4_finseq_1(B)) => m1_hallmar1(k2_hallmar1(A,B,C,D),A,B,C) ) ) ) ) )).
fof(t20_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(D,B) & v2_compts_1(B,k3_pcomps_1(A)) ) => r1_xxreal_0(k3_metric_1(A,C,D),k1_funct_1(k5_weierstr(A,B),C)) ) ) ) ) ) )).
fof(t20_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( ( v5_glib_001(C,A) & m3_glib_001(C,A) ) => ( ( k4_glib_001(A,B) = k3_glib_001(A,C) & k4_glib_001(A,C) = k3_glib_001(A,B) & r1_xboole_0(k14_glib_001(A,B),k14_glib_001(A,C)) & k9_subset_1(k6_glib_000(A),k13_glib_001(A,B),k13_glib_001(A,C)) = k2_tarski(k4_glib_001(A,B),k3_glib_001(A,B)) ) => ( v1_glib_001(B,A) | v1_glib_001(C,A) | v8_glib_001(k7_glib_001(A,B,C),A) ) ) ) ) ) )).
fof(t20_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_complfld)) => r2_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),k1_hermitan(A,k6_hahnban1(k1_complfld,A,C,B)),k6_hahnban1(k1_complfld,A,k2_complfld(C),k1_hermitan(A,B))) ) ) ) )).
fof(t20_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_normform(A))) => ~ ( ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(E,C) & ! [F] : ( m2_subset_1(F,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(F,D) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),F,k1_normform(k5_finsub_1(A),k5_finsub_1(A),E,B)) ) ) ) ) & ! [E] : ( m2_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ~ ( r2_tarski(E,k7_heyting1(A,k3_heyting1(A,C),k3_heyting1(A,D))) & r1_normform(k5_finsub_1(A),k5_finsub_1(A),E,B) ) ) ) ) ) ) )).
fof(t20_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => r3_lattices(k5_substlat(A,B),k3_funct_2(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),k7_heyting2(A,B,C),D),C) ) ) ) )).
fof(t20_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k2_heyting3(1,A) = k7_domain_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_domain_1(k4_ordinal1,k4_ordinal1,1,A),k1_domain_1(k4_ordinal1,k4_ordinal1,2,A)) ) )).
fof(t20_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_taylor_1(C,A,B) & r1_taylor_1(D,A,B) ) => r1_taylor_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),A,B) ) ) ) ) ) )).
fof(t20_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_funct_2(k4_ordinal1,u1_struct_0(A),k11_polynom3(A,E,k5_hilbasis(A,B,D)),k1_nat_1(C,B)) = k6_algstr_0(A,k3_funct_2(k4_ordinal1,u1_struct_0(A),E,C),D) ) ) ) ) ) )).
fof(t20_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( r2_tarski(k3_hilbert1(A,k3_hilbert1(B,C)),k6_hilbert1) => r2_tarski(k3_hilbert1(B,k3_hilbert1(A,C)),k6_hilbert1) ) ) ) ) )).
fof(t20_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => ( k3_hilbert1(A,B) = k3_hilbert1(C,D) => ( A = C & D = B ) ) ) ) ) ) )).
fof(t20_hilbert3,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_funct_2(k1_xboole_0,A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_funct_2(k1_xboole_0,A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_xboole_0) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_xboole_0))) ) => k10_xtuple_0(k15_pralg_1(C,D)) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t20_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( m2_huffman1(C,A,B) => k6_trees_2(k1_huffman1,C) = a_2_1_huffman1(A,B) ) ) ) )).
fof(t20_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k2_hurwitz(A,B) = k4_xcmplx_0(1) <=> r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k9_polynom3(A)) ) ) ) )).
fof(t20_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ~ v1_abian(k2_hurwitz(A,B)) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k2_hurwitz2(A,k1_polynom4(A,B)),k1_polynom4(A,B)) ) ) ) )).
fof(t20_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( k8_idea_1(A,B) = k8_idea_1(A,C) => ( B = k5_numbers | C = k5_numbers | B = C ) ) ) ) ) )).
fof(t20_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & v6_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_subset_1(B,u1_struct_0(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( v1_gcd_1(C,A) & r2_tarski(C,B) ) ) ) ) ) )).
fof(t20_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ~ ( ! [D] : ( m1_subset_1(D,u4_incsp_1(A)) => ~ ( r3_incsp_1(A,B,D) & r3_incsp_1(A,C,D) ) ) & B = C ) ) ) ) )).
fof(t20_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => k12_mcart_1(k9_index_1(A,B,C)) = k8_index_1(u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) ) ) ) )).
fof(t20_instalg1,axiom,( ! [A] : ( l1_msualg_1(A) => ! [B] : ( ( v1_instalg1(B) & l1_msualg_1(B) ) => ! [C] : ( m1_instalg1(C,B) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( r3_pua2mss1(A,B,D,E) & r1_tarski(k10_xtuple_0(D),u1_struct_0(C)) & r1_tarski(k10_xtuple_0(E),u4_struct_0(C)) ) => r3_pua2mss1(A,C,D,E) ) ) ) ) ) ) )).
fof(t20_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ! [E] : ( v1_int_1(E) => ( ( k3_xcmplx_0(D,E) = C & r2_int_1(A,B,C) ) => r2_int_1(A,B,D) ) ) ) ) ) ) )).
fof(t20_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => m1_subset_1(k3_int_2(A,B),k4_ordinal1) ) ) )).
fof(t20_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k4_nat_d(k3_xcmplx_0(A,B),k3_xcmplx_0(A,C)) = k3_xcmplx_0(A,k4_nat_d(B,C)) ) ) ) )).
fof(t20_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( ( k3_int_2(A,B) = 1 & r1_int_5(A,B) ) => ( r1_xxreal_0(B,2) | k5_int_1(k6_xcmplx_0(k1_newton(A,k3_nat_d(k7_nat_d(B,1),2)),1),B) = k5_numbers ) ) ) ) )).
fof(t20_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ( r1_int_2(A,B) => r1_int_1(k3_xcmplx_0(A,B),k2_int_2(A,B)) ) ) ) )).
fof(t20_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_int_7(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_int_7(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(A))) => ( ( B = D & C = E ) => k8_group_1(k3_int_7(A),B,C) = k8_group_1(k9_int_3(A),D,E) ) ) ) ) ) ) )).
fof(t20_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_int_2(A,C) & r1_nat_d(B,C) ) => ( r1_xxreal_0(C,1) | r1_xxreal_0(B,1) | r1_nat_d(k3_pepin(A,B),k3_pepin(A,C)) ) ) ) ) ) )).
fof(t20_integr11,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( B = k1_rcomp_1(k5_numbers,k28_sin_cos) => k2_integra5(B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A)),k18_sin_cos)) = k5_numbers ) ) ) )).
fof(t20_integr12,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v3_rcomp_1(E) & m1_subset_1(E,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,E) & r1_tarski(E,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,E) => k1_funct_1(D,F) = 1 ) ) & r1_tarski(E,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(A)))) & E = k1_relset_1(k1_numbers,C) & r2_relset_1(k1_numbers,k1_numbers,C,k3_rfunct_1(k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(k6_xcmplx_0(A,1))),A),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k1_taylor_1(2)),k4_taylor_1(k7_xcmplx_0(1,2))))) ) => ( r1_xxreal_0(A,1) | k2_integra5(B,C) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(A))),k2_seq_4(B)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k1_taylor_1(A))),k3_seq_4(B))) ) ) ) ) ) ) ) )).
fof(t20_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,D) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,D) => k1_funct_1(C,E) = 1 ) ) & r2_relset_1(k1_numbers,k1_numbers,B,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k2_sin_cos9,k1_partfun2(k1_numbers,D)),k3_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2))))) & r1_tarski(D,k2_rcomp_1(k4_xcmplx_0(1),1)) & D = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_sin_cos9),k3_seq_4(A))) ) ) ) ) ) )).
fof(t20_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,C) => k1_funct_1(B,D) = k7_xcmplx_0(k1_funct_1(k18_sin_cos,k1_funct_1(k3_taylor_1,D)),k3_xcmplx_0(D,k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k3_taylor_1,D))))) ) ) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_fdiff_9))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_fdiff_9)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k2_fdiff_9)),k3_seq_4(A))) ) ) ) ) )).
fof(t20_integr15,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( C = k1_rcomp_1(E,D) => k6_euclid(A,k11_integr15(A,C,B)) = k12_integr15(D,E,A,B) ) ) ) ) ) ) )).
fof(t20_integr16,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & r1_integr16(B,C) & v1_comseq_2(k2_partfun1(k1_numbers,k2_numbers,C,B)) ) => ( r1_integr16(B,k25_valued_1(k1_numbers,k2_numbers,C,A)) & k7_integr16(B,k25_valued_1(k1_numbers,k2_numbers,C,A)) = k3_xcmplx_0(A,k7_integr16(B,C)) ) ) ) ) ) )).
fof(t20_integr19,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,C)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(B),C,A),B) & r1_integr15(B,A,C) & r1_integra5(A,k1_nfcont_4(B,k1_numbers,C)) ) => r1_xxreal_0(k12_euclid(k11_integr15(B,A,C)),k2_integra5(A,k1_nfcont_4(B,k1_numbers,C))) ) ) ) ) )).
fof(t20_integr21,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & v3_lopban_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,C)) & v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(B),C,A),B,k1_numbers) & r1_integr18(B,A,C) & r1_integra5(A,k4_normsp_0(k1_numbers,B,C)) ) => r1_xxreal_0(k2_normsp_0(B,k5_integr18(B,A,C)),k2_integra5(A,k4_normsp_0(k1_numbers,B,C))) ) ) ) ) )).
fof(t20_integra1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( m1_integra1(C,B) => ( r2_tarski(A,k4_finseq_1(C)) => k3_integra1(k2_integra1(B,C,A)) = k1_funct_1(k4_integra1(B,k7_rfunct_1(B,B),C),A) ) ) ) ) )).
fof(t20_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( m1_integra1(D,B) => ( ( v1_comseq_2(k2_partfun1(B,k1_numbers,C,B)) & r1_xxreal_0(A,k5_numbers) ) => r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(A,k2_seq_4(k1_rvsum_1(C))),k3_integra1(B)),k1_funct_1(k8_integra1(B,k26_valued_1(B,k1_numbers,C,A)),D)) ) ) ) ) ) )).
fof(t20_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) & v1_fdiff_1(k2_integra3(A,C),k5_numbers) & v9_ordinal1(k2_integra3(A,C)) ) => ( k3_integra1(A) = k5_numbers | ( v2_comseq_2(k4_integra2(A,B,C)) & k1_seq_2(k4_integra2(A,B,C)) = k11_integra1(A,B) ) ) ) ) ) ) )).
fof(t20_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) & v3_integra1(B,A) ) => v3_integra1(k18_rfunct_3(A,B),A) ) ) ) )).
fof(t20_integra5,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( B = k1_rcomp_1(D,C) => k4_xcmplx_0(k2_integra5(B,A)) = k4_integra5(C,D,A) ) ) ) ) ) )).
fof(t20_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k4_integra5(A,D,E) = k2_xcmplx_0(k4_integra5(A,C,E),k4_integra5(C,D,E)) ) ) ) ) ) ) )).
fof(t20_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k1_rcomp_1(A,B),C) & r1_tarski(C,k1_relset_1(k1_numbers,D)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,D,C)) & r1_integra7(C,E,D) ) => k1_funct_1(E,B) = k2_xcmplx_0(k4_integra5(A,B,D),k1_funct_1(E,A)) ) ) ) ) ) )).
fof(t20_integra8,axiom,( ! [A] : ( ( v1_funct_1(A) & v3_fdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k32_valued_1(k1_numbers,k1_numbers,A)) & v3_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,A)) & m1_subset_1(k32_valued_1(k1_numbers,k1_numbers,A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(t20_integra9,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => r2_relset_1(C,k1_numbers,k1_integra5(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C),k47_valued_1(C,k1_numbers,k1_numbers,k1_integra5(A,C),k1_integra5(B,C))) ) ) ) )).
fof(t20_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => r1_interva1(A,k3_interva1(A,B,B),B) ) ) )).
fof(t20_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A,B),k3_intpro_1(A,A)),k8_intpro_1) ) ) )).
fof(t20_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => ( r1_xxreal_0(B,k5_numbers) | k1_funct_1(k3_irrat_1(B),A) = k1_funct_1(k5_newton(1,k7_xcmplx_0(1,B),B),k1_nat_1(A,1)) ) ) ) ) )).
fof(t20_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,B,C) => ! [E] : ( m2_cat_1(E,B,C) => ( r1_nattra_1(B,C,D,E) => ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m1_nattra_1(G,B,C,D,E) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_nattra_1(A,C,k9_cat_1(A,B,C,F,D),k9_cat_1(A,B,C,F,E),k3_isocat_1(A,B,C,D,E,F,G),H) = k2_nattra_1(B,C,D,E,G,k8_cat_1(A,B,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(t20_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),E) = k10_cat_2(A,B,C,D,E) ) ) ) ) ) )).
fof(t20_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) <=> ( k2_tops_1(A,B) = k7_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,B)),k1_tops_1(A,k2_pre_topc(A,B))) & k2_tops_1(A,B) = k9_subset_1(u1_struct_0(A),k2_pre_topc(A,k1_tops_1(A,B)),k2_pre_topc(A,k1_tops_1(A,k3_subset_1(u1_struct_0(A),B)))) ) ) ) ) )).
fof(t20_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( ( v1_jgraph_1(A,2) & v1_graph_4(k4_jgraph_1(u1_struct_0(k15_euclid(2)),A),k1_jgraph_1(u1_struct_0(k15_euclid(2)))) ) => ( k1_funct_1(A,1) = k1_funct_1(A,k3_finseq_1(A)) | v2_topreal1(A) ) ) ) )).
fof(t20_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,D) = B ) & v5_pre_topc(C,A,k3_topmetr) ) ) ) )).
fof(t20_jgraph_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( A = k8_struct_0(k15_euclid(2)) => k3_subset_1(u1_struct_0(k15_euclid(2)),A) = k6_domain_1(u1_struct_0(k15_euclid(2)),k4_struct_0(k15_euclid(2))) ) ) )).
fof(t20_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D),k12_euclid(D)),A),k2_xcmplx_0(1,A))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k17_euclid(D),k5_numbers) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t20_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(k5_numbers,k18_euclid(B)) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | r1_xxreal_0(A,k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) | k12_euclid(B) = k5_numbers | ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k5_jgraph_4(A),B) => ( r1_xxreal_0(k5_numbers,k18_euclid(C)) & ~ r1_xxreal_0(k5_numbers,k17_euclid(C)) ) ) ) ) ) ) ) )).
fof(t20_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( r1_xxreal_0(k5_numbers,C) & D = a_0_0_jgraph_6 & E = a_3_0_jgraph_6(A,B,C) ) => k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k2_jgraph_2(C,A,C,B),D) = E ) ) ) ) ) ) )).
fof(t20_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k18_euclid(C) = H & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(B),H) & r1_xxreal_0(E,k17_euclid(C)) & r1_xxreal_0(k17_euclid(C),F) & r1_xxreal_0(k17_euclid(D),F) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k17_euclid(D),E) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_jordan,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ( r2_tarski(D,k3_topreal9(B,C,A)) => r1_tarski(k7_subset_1(u1_struct_0(k15_euclid(B)),k1_rltopsp1(k15_euclid(B),C,D),k7_domain_1(u1_struct_0(k15_euclid(B)),C,D)),k1_topreal9(B,C,A)) ) ) ) ) ) )).
fof(t20_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_pre_topc(a_1_0_jordan1(A),k15_euclid(2)) & m1_subset_1(a_1_0_jordan1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(t20_jordan10,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k7_setfam_1(u1_struct_0(k15_euclid(2)),k3_jordan10(A)) = k4_jordan10(A) ) )).
fof(t20_jordan12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(B,k1_matrix_0(C)) ) => v1_convex1(k3_goboard5(C,A,B),k15_euclid(2)) ) ) ) ) )).
fof(t20_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_subset_1(k2_jordan2c(2,A),k3_topreal1(2,k1_jordan13(A,B))) ) ) ) )).
fof(t20_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k3_finseq_1(k1_jordan8(B,A))) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,C),k3_topreal1(2,k1_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),E,C),k3_topreal1(2,k2_jordan1e(B,A))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(D,F) & r1_xxreal_0(F,G) & r1_xxreal_0(G,E) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),G,C)),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),F,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),G,C)),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),G,C)) ) ) ) ) ) ) ) ) ) )).
fof(t20_jordan16,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),k1_numbers,k1_numbers,A,k1_fcont_1(B,C)) => ( B = k5_numbers | v3_tops_2(A,k3_topmetr,k3_topmetr) ) ) ) ) ) )).
fof(t20_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( E != B & r1_jordan17(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( F != E & F != B & r1_jordan17(A,B,D,E,F) ) ) ) ) ) ) ) ) )).
fof(t20_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r2_tarski(A,k1_jordan2c(2,B)) & k2_jordan18(A,B) = k1_jordan18(A,B) ) ) ) )).
fof(t20_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(C,1) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),D) & r1_xxreal_0(1,E) & r1_xxreal_0(E,F) & r1_xxreal_0(F,k1_matrix_0(k1_jordan8(B,A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k8_jordan6(B)) ) ) ) ) ) ) ) )).
fof(t20_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(B)) ) => r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,C)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,A,k1_matrix_0(B)))) ) ) ) ) )).
fof(t20_jordan1b,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,1),k1_jordan1a(k1_jordan8(A,1)),k3_finseq_1(k1_jordan8(A,1))) = k19_euclid(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2),k7_pscomp_1(k3_topreal1(2,k1_jordan9(A,1)))) ) )).
fof(t20_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r2_tarski(A,k1_jordan2c(2,B)) & k17_euclid(A) = k8_pscomp_1(k1_jordan2c(2,B)) ) ) ) )).
fof(t20_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan9(B,A)),C) & r2_tarski(k19_pscomp_1(B),k4_goboard5(k1_jordan9(B,A),C)) ) ) ) )).
fof(t20_jordan1e,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k1_jordan9(B,A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),C) = k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) ) => k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),k1_nat_1(C,1))) = k8_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) ) ) ) ) )).
fof(t20_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ r1_xxreal_0(k4_finseq_4(k1_jordan1e(B,A),k19_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))),k4_finseq_4(k1_jordan1e(B,A),k18_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))))) ) ) )).
fof(t20_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => r1_tarski(k2_topreal1(2,B,C),k2_gobrd13(B,A,C)) ) ) ) ) ) )).
fof(t20_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k3_finseq_1(A)) & r2_hidden(k4_tarski(C,D),k2_matrix_0(B)) & r2_hidden(k4_tarski(C,k1_nat_1(D,1)),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,k1_nat_1(D,1)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,C,D) & k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,E)) = k6_pscomp_1(k3_topreal1(2,A)) ) ) ) ) ) ) ) )).
fof(t20_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k24_pscomp_1(B),A) ) => k24_pscomp_1(A) = k24_pscomp_1(B) ) ) ) )).
fof(t20_jordan1k,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v1_xreal_0(B) => k1_topreal6(2,k19_euclid(k5_numbers,k5_numbers),k1_rlvect_1(k15_euclid(2),A,B)) = k3_xcmplx_0(k9_complex1(B),k1_topreal6(2,k19_euclid(k5_numbers,k5_numbers),A)) ) ) )).
fof(t20_jordan20,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( ( r1_topreal1(k15_euclid(A),B,C,D) & r1_topreal1(k15_euclid(A),B,C,E) & r1_tarski(E,D) ) => E = D ) ) ) ) ) ) )).
fof(t20_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k8_pscomp_1(A) = k8_pscomp_1(k9_jordan6(A)) ) )).
fof(t20_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(A,B))) & k2_jordan21(k3_topreal1(2,k1_jordan9(A,B))) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,B),k1_jordan1a(k1_jordan8(A,B)),C) ) ) ) ) ) )).
fof(t20_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v2_jordan23(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) ) => k7_partfun1(u1_struct_0(k15_euclid(2)),k4_jordan3(A,B,C),k3_finseq_1(k4_jordan3(A,B,C))) = C ) ) ) ) ) )).
fof(t20_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(1))) => ? [B] : ( v1_xreal_0(B) & A = k9_finseq_1(B) ) ) )).
fof(t20_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => m1_connsp_3(k1_jordan2c(A,B),k1_pre_topc(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B))) ) ) )).
fof(t20_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & r2_tarski(B,k3_topreal1(2,A)) & B = k1_funct_1(A,k1_nat_1(k1_jordan3(A,B),1)) ) => ( B = k1_funct_1(A,k3_finseq_1(A)) | k1_nat_1(k1_nat_1(k1_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)),A),B),k1_jordan3(A,B)),1) = k3_finseq_1(A) ) ) ) ) )).
fof(t20_jordan4,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,k3_finseq_1(A)) & r1_xxreal_0(1,D) ) => ( r1_xxreal_0(C,B) | r1_xxreal_0(k1_nat_1(k7_nat_d(C,B),1),D) | k2_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,B),D) = k2_topreal1(2,A,k7_nat_d(C,D)) ) ) ) ) ) ) )).
fof(t20_jordan5a,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D))))) ) => ( ( r1_xxreal_0(A,E) & r1_xxreal_0(F,B) & v3_tops_2(I,k4_topmetr(A,B),k4_topmetr(C,D)) & k1_funct_1(I,A) = C & k1_funct_1(I,B) = D & G = k1_funct_1(I,E) & H = k1_funct_1(I,F) ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(D,C) | r1_xxreal_0(F,E) | k7_relset_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(C,D)),I,k1_rcomp_1(E,F)) = k1_rcomp_1(G,H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & v4_topreal1(A) ) => ( B = k1_funct_1(A,1) | r2_tarski(B,k3_topreal1(2,k3_jordan3(A,B))) ) ) ) ) )).
fof(t20_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( v7_ordinal1(C) => ( ( v4_pre_topc(B,k15_euclid(2)) & v4_topreal1(A) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r2_tarski(k2_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),k2_topreal1(2,A,C)) ) => ( r1_xboole_0(k3_topreal1(2,A),B) | k2_jordan5c(k3_topreal1(2,A),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) = k2_jordan5c(k2_topreal1(2,A,C),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,C),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1))) ) ) ) ) ) )).
fof(t20_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_0_jordan5d(A) => k2_seq_4(B) = k2_pscomp_1(k1_pre_topc(k15_euclid(2),k14_pscomp_1(k3_topreal1(2,A))),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k14_pscomp_1(k3_topreal1(2,A)))) ) ) ) )).
fof(t20_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => r1_tarski(k4_jordan6(A,B,C,D),A) ) ) ) ) )).
fof(t20_jordan7,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v1_xreal_0(B) => ~ ( v1_topreal2(A) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( k1_funct_1(C,1) = k18_pscomp_1(A) & v2_funct_1(C) & r1_xxreal_0(8,k3_finseq_1(C)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),C),A) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(C),D) | r1_jordan6(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,D),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1))) ) ) ) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k14_euclid(2)))) => ~ ( r1_xxreal_0(1,D) & ~ r1_xxreal_0(k3_finseq_1(C),D) & E = k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,D),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1))) & r1_xxreal_0(B,k2_tbsp_1(k14_euclid(2),E)) ) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_euclid(2)))) => ~ ( D = k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,1)) & r1_xxreal_0(B,k2_tbsp_1(k14_euclid(2),D)) ) ) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(k3_finseq_1(C),k1_nat_1(D,1)) | k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,D),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,2)))) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1))) ) ) ) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,1)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,1),k7_partfun1(u1_struct_0(k15_euclid(2)),C,2))) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,1)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k7_nat_d(k3_finseq_1(C),1)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,1))) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C))) & r1_xboole_0(k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k7_nat_d(k3_finseq_1(C),1)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,1),k7_partfun1(u1_struct_0(k15_euclid(2)),C,2))) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,D) => ( r1_xxreal_0(E,D) | r1_xxreal_0(k3_finseq_1(C),E) | r1_gobrd10(D,E) | r1_xboole_0(k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,D),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1))),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,E),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(E,1)))) ) ) ) ) & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,1) & ~ r1_xxreal_0(k3_finseq_1(C),k1_nat_1(D,1)) & ~ r1_xboole_0(k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,k3_finseq_1(C)),k7_partfun1(u1_struct_0(k15_euclid(2)),C,1)),k1_jordan7(A,k7_partfun1(u1_struct_0(k15_euclid(2)),C,D),k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(D,1)))) ) ) ) ) ) ) ) )).
fof(t20_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) ) => ( r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_goboard5(C,A,B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)),k3_goboard5(C,A,B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1)),k3_goboard5(C,A,B)) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B),k3_goboard5(C,A,B)) ) ) ) ) ) )).
fof(t20_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_jordan6(A,B,C) => v2_compts_1(k1_jordan7(A,B,C),k15_euclid(2)) ) ) ) ) )).
fof(t20_knaster,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & l3_lattices(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_abian(u1_struct_0(B),C,A),D) = k4_knaster(B,C,D,A) ) ) ) ) )).
fof(t20_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v2_prob_1(B) => k3_kurato_0(A,B) = k2_kurato_0(A,B) ) ) )).
fof(t20_kurato_1,axiom,( k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k6_kurato_1))))) = k2_rcomp_1(k2_xxreal_0,4) )).
fof(t20_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),C,D) = k2_pre_topc(A,k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,D)) ) => k1_kurato_2(A,C) = k1_kurato_2(A,B) ) ) ) ) )).
fof(t20_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k2_finseq_1(k1_nat_1(A,1))) & r2_tarski(C,k2_finseq_1(k1_nat_1(A,1))) ) => ! [D] : ~ ( D = a_3_0_laplace(A,B,C) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,D,k9_matrix_1(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,k9_matrix_1(A)))) ) => ~ ( v3_funct_2(E,D,k9_matrix_1(A)) & ! [F] : ( m1_matrix_1(F,k9_matrix_1(k1_nat_1(A,1))) => ( k1_funct_1(F,B) = C => k1_funct_1(E,F) = k4_laplace(B,A,F) ) ) ) ) ) ) ) ) ) )).
fof(t20_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) ) => ( r2_tarski(k6_group_2(A),B) => r1_group_2(A,k2_latsubgr(A,B),k6_group_2(A)) ) ) ) )).
fof(t20_latsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B))) & v1_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) ) => r2_tarski(k3_yellow_0(B),u1_struct_0(A)) ) ) ) )).
fof(t20_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,B,k2_lattices(A,B,C)) = B ) ) ) )).
fof(t20_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => r6_binop_1(u1_struct_0(A),u2_lattices(A),u2_lattices(A)) ) )).
fof(t20_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( k6_lattice3(u1_struct_0(A),k2_lattice3(A)) = k2_lattice3(k1_lattice2(A)) & k7_lattice3(k3_lattice3(A)) = k3_lattice3(k1_lattice2(A)) ) ) )).
fof(t20_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k3_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D) = k4_lattices(A,k3_lattice2(u1_struct_0(A),A,B,D),k3_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) ) ) ) ) )).
fof(t20_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & v1_lattice5(C,A,B) & v2_lattice5(C,A,B) & v3_lattice5(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => k7_lattice5(A,B,C) != k1_xboole_0 ) ) ) )).
fof(t20_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( B != k5_lattices(A) & B != k6_lattices(A) & ~ ( ( v3_lattice6(B,A) => v2_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) ) & ( v2_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) => v3_lattice6(B,A) ) & ( v4_lattice6(B,A) => v3_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) ) & ( v3_waybel_6(k4_lattice3(A,B),k3_lattice3(A)) => v4_lattice6(B,A) ) ) ) ) ) )).
fof(t20_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( ( v1_relat_1(E) & v5_ordinal1(E) & v1_funct_1(E) ) => ! [F] : ( v3_ordinal1(F) => ( ( v4_ordinal1(F) & k9_xtuple_0(E) = F & ! [G] : ( v3_ordinal1(G) => ( r2_tarski(G,F) => k1_funct_1(E,G) = k5_lattice8(A,B,C,D,G) ) ) ) => ( F = k5_numbers | k5_lattice8(A,B,C,D,F) = k3_tarski(k10_xtuple_0(E)) ) ) ) ) ) ) ) ) )).
fof(t20_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r2_tarski(C,B) & ! [D] : ( ( ~ v1_xboole_0(D) & v18_lattices(D,A) & v21_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v2_filter_2(D,A) & r1_tarski(B,D) & ~ r2_tarski(C,D) ) ) ) ) ) ) )).
fof(t20_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_lattices(A,k7_lattices(A,B),B) = k5_lattices(A) ) ) )).
fof(t20_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( r2_tarski(E,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & k1_recdef_1(k5_lexbfs(A,B,C),E) = D ) => k6_lexbfs(A,B,k7_nat_d(k39_glib_000(B),D)) = E ) ) ) ) ) )).
fof(t20_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => k1_fuzzy_1(A,B,C) = k12_lattice3(k4_lfuzzy_0(A),k6_lfuzzy_0(A,B),k6_lfuzzy_0(A,C)) ) ) ) )).
fof(t20_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ( v2_lfuzzy_1(C,A) & r1_fuzzy_1(B,C) ) => r1_fuzzy_1(k2_lfuzzy_1(k2_zfmisc_1(A,A),B,k1_fuzzy_4(A,A,B)),C) ) ) ) ) )).
fof(t20_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = B ) => v1_limfunc1(A) ) ) )).
fof(t20_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_xtuple_0(B)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k9_xtuple_0(B)) ) ) ) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ~ ( v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & v8_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) & ~ v1_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & ~ v1_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) ) ) | r2_limfunc3(B,A) ) ) ) ) )).
fof(t20_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( r1_lmod_6(A,B,C) => r1_lmod_6(A,k1_vectsp_4(A,C),B) ) ) ) ) )).
fof(t20_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_lmod_7(A,B,C))) => ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k18_lmod_7(A,B,C,E) ) ) ) ) ) )).
fof(t20_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_normsp_1(B,A) & k5_normsp_1(A,B) = C ) => ( v2_comseq_2(k5_normsp_0(A,B)) & k1_seq_2(k5_normsp_0(A,B)) = k2_normsp_0(A,C) ) ) ) ) ) )).
fof(t20_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v4_normsp_0(k9_lopban_2(A)) & v3_normsp_0(k9_lopban_2(A)) & v2_normsp_1(k9_lopban_2(A)) & v2_rlvect_1(k9_lopban_2(A)) & v3_rlvect_1(k9_lopban_2(A)) & v4_rlvect_1(k9_lopban_2(A)) & v13_algstr_0(k9_lopban_2(A)) & v3_group_1(k9_lopban_2(A)) & v3_vectsp_1(k9_lopban_2(A)) & v1_vectsp_1(k9_lopban_2(A)) & v5_rlvect_1(k9_lopban_2(A)) & v6_rlvect_1(k9_lopban_2(A)) & v7_rlvect_1(k9_lopban_2(A)) & v2_funcsdom(k9_lopban_2(A)) & v5_rlvect_1(k9_lopban_2(A)) & v6_rlvect_1(k9_lopban_2(A)) & v7_rlvect_1(k9_lopban_2(A)) & v8_rlvect_1(k9_lopban_2(A)) ) ) )).
fof(t20_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_lopban_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( v1_lopban_3(k4_normsp_1(A,B,C),A) & k1_lopban_3(A,k4_normsp_1(A,B,C)) = k1_rlvect_1(A,k1_lopban_3(A,B),C) ) ) ) ) )).
fof(t20_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ( v2_lopban_3(k1_lopban_4(A,k4_struct_0(A)),A) & k1_lopban_3(A,k1_lopban_4(A,k4_struct_0(A))) = k5_struct_0(A) ) ) )).
fof(t20_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(k8_lopclset(A),k4_lattices(A,B,C)) = k3_xboole_0(k1_funct_1(k8_lopclset(A),B),k1_funct_1(k8_lopclset(A),C)) ) ) ) )).
fof(t20_lpspacc1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_numbers))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_lpspacc1(B,C,D))) => ( E = F => k25_valued_1(B,k2_numbers,E,A) = k1_clvect_1(k14_lpspacc1(B,C,D),F,A) ) ) ) ) ) ) ) )).
fof(t20_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k2_lpspace1(A,k1_numbers,k3_lpspace1(A),B,k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),C,D)),k2_lpspace1(A,k1_numbers,k13_rfunct_3(A),k2_lpspace1(A,k1_numbers,k3_lpspace1(A),B,C),k2_lpspace1(A,k1_numbers,k3_lpspace1(A),B,D))) ) ) ) ) )).
fof(t20_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : r2_relset_1(A,k1_numbers,k2_mesfun6c(C,A,k2_partfun1(A,k1_numbers,B,D)),k2_partfun1(A,k1_numbers,k2_mesfun6c(C,A,B),D)) ) ) ) )).
fof(t20_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,C,k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(B),k2_ltlaxio1(k4_ltlaxio1(A,k4_hilbert1(A,B)))),k4_hilbert1(A,B)))) = 1 ) ) ) ) )).
fof(t20_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_hilbert1,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k1_ltlaxio1(k7_partfun1(k1_hilbert1,k2_ltlaxio2(k4_ltlaxio2(A)),k3_finseq_1(k2_ltlaxio2(k4_ltlaxio2(A)))))) = k5_numbers <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(B),k7_partfun1(k1_hilbert1,A,C)) = k5_numbers ) ) ) ) ) )).
fof(t20_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_hilbert1)) => ( r2_tarski(k4_ltlaxio1(A,B),k5_ltlaxio3(C)) => ( r2_tarski(A,k5_ltlaxio3(C)) & r2_tarski(B,k5_ltlaxio3(C)) ) ) ) ) ) )).
fof(t20_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( r2_tarski(B,k9_ltlaxio4(A)) => v3_ltlaxio3(B) ) ) ) )).
fof(t20_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A,B,C),k4_cqc_the1(A)) ) => r2_hidden(k8_cqc_lang(A,B,D),k4_cqc_the1(A)) ) ) ) ) ) )).
fof(t20_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,k4_partfun1(k3_finseq_2(A),A)) => ( C = k17_funcop_1(k6_finseq_1(A),B) => ( v4_margrel1(k16_margrel1(A,C),A) & v5_margrel1(k16_margrel1(A,C),A) & v2_relat_1(k16_margrel1(A,C)) ) ) ) ) ) )).
fof(t20_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(B,k3_mathmorp(A,k6_rusub_4(A,B,C),C)) ) ) ) )).
fof(t20_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( r1_matrix10(B,C) => v2_matrix10(k5_matrix10(A,B,C)) ) ) ) ) )).
fof(t20_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ( v5_matrix_1(B,k8_matrix_1(k9_matrix_1(A))) => ( k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B,B) = k1_finseq_2(A) & r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B,k2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),B)) ) ) ) ) )).
fof(t20_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(D),C,C) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(D))) ) => ( ( r2_tarski(B,k4_finseq_1(k3_matrix_1(D,C))) & r2_tarski(A,k4_finseq_1(k3_matrix_1(D,C))) ) => ( r1_xxreal_0(C,k5_numbers) | k4_matrix_3(D,F,k6_matrix12(C,C,D,k3_matrix_1(D,C),B,A,E)) = k6_matrix12(C,C,D,F,B,A,E) ) ) ) ) ) ) ) ) )).
fof(t20_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,A,1,1) & m2_finseq_1(B,k3_finseq_2(A)) ) => B = k2_matrlin(A,k13_matrix_0(A,k3_matrix_0(A,B,1,1))) ) ) )).
fof(t20_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k13_fvsum_1(A,B,k2_matrix14(A,k3_finseq_1(B))) = k4_struct_0(A) ) ) )).
fof(t20_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( k3_finseq_1(B) = k3_finseq_1(C) => ( r1_xxreal_0(k8_matrix13(A,B),k8_matrix13(A,k7_matrlin(u1_struct_0(A),B,C))) & r1_xxreal_0(k8_matrix13(A,C),k8_matrix13(A,k7_matrlin(u1_struct_0(A),B,C))) ) ) ) ) ) )).
fof(t20_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( v3_matrix16(D,u1_struct_0(B)) => v3_matrix16(k2_matrix13(A,A,B,D,C),u1_struct_0(B)) ) ) ) ) ) )).
fof(t20_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => ! [C] : ( v7_ordinal1(C) => ( ( v1_matrix_0(B) & v2_matrix_0(B,A,k3_finseq_1(B),C) & m2_finseq_1(B,k3_finseq_2(A)) ) <=> C = k1_matrix_0(B) ) ) ) ) ) )).
fof(t20_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k4_matrix_3(A,k14_matrix_0(u1_struct_0(A),1,k13_matrix_0(u1_struct_0(A),B)),k14_matrix_0(u1_struct_0(A),1,k13_matrix_0(u1_struct_0(A),C))) = k14_matrix_0(u1_struct_0(A),1,k13_matrix_0(u1_struct_0(A),k8_group_1(A,B,C))) ) ) ) )).
fof(t20_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) ) => B = k3_matrix_3(A,B,k1_matrix_4(A,C,C)) ) ) ) ) )).
fof(t20_matrix_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(C) = k1_matrix_0(D) ) => k6_matrix_3(A,k3_matrix_3(A,C,D),B) = k3_matrix_3(A,k6_matrix_3(A,C,B),k6_matrix_3(A,D,B)) ) ) ) ) ) )).
fof(t20_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k4_matrix_0(u1_struct_0(B),k11_matrix_0(u1_struct_0(B),A,A,C)) = k11_matrix_0(u1_struct_0(B),A,A,C) ) ) ) )).
fof(t20_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k2_group_1(A,k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,C))) = k6_algstr_0(A,k2_group_1(A,k3_group_4(A,C)),k2_group_1(A,k3_group_4(A,B))) ) ) ) )).
fof(t20_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_6(C,A,B) & k4_matrix_3(B,D,C) = k4_matrix_3(B,E,C) ) => D = E ) ) ) ) ) ) )).
fof(t20_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),3,3) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ( K = k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A))),k3_finseq_4(u1_struct_0(A),B,C,D),k3_finseq_4(u1_struct_0(A),E,F,G),k3_finseq_4(u1_struct_0(A),H,I,J)) => ! [L] : ( m1_matrix_1(L,k9_matrix_1(3)) => ( L = k3_finseq_4(k4_ordinal1,1,2,3) => k10_matrix_3(3,A,K,L) = k3_finseq_4(u1_struct_0(A),B,F,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => k1_wsierp_1(k11_matrixj1(A,k5_matrixj1(A,B,C))) = k2_xcmplx_0(k1_matrix_0(B),k1_matrix_0(C)) ) ) ) )).
fof(t20_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_matrlin(D,A,B) => ! [E] : ( m2_finseq_1(E,u1_struct_0(C)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(A),k3_finseq_1(D),k3_finseq_1(E)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(A))) ) => ! [G] : ( ( v1_matrixj1(G,u1_struct_0(A)) & m2_finseq_1(G,k3_finseq_2(k3_finseq_2(u1_struct_0(A)))) ) => ( F = k13_matrixj1(u1_struct_0(A),k4_struct_0(A),G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_tarski(H,k4_finseq_1(D)) & I = k1_matrixj1(k10_matrixj1(u1_struct_0(A),G),H) ) => ( k3_funct_2(u1_struct_0(B),u1_struct_0(C),k4_matrlin2(A,B,C,D,E,F),k7_partfun1(u1_struct_0(B),D,H)) = k4_rlvect_1(C,k5_matrlin(A,C,k7_matrix_0(u1_struct_0(A),k2_matrixj1(u1_struct_0(A),G,I),k7_nat_d(H,k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k6_matrixj1(u1_struct_0(A),k7_nat_d(I,1),G))))),k2_rfinseq(u1_struct_0(C),k1_wsierp_1(k11_matrixj1(u1_struct_0(A),k6_matrixj1(u1_struct_0(A),k7_nat_d(I,1),G))),k17_finseq_1(u1_struct_0(C),k1_wsierp_1(k11_matrixj1(u1_struct_0(A),k6_matrixj1(u1_struct_0(A),I,G))),E)))) & k3_finseq_1(k2_rfinseq(u1_struct_0(C),k1_wsierp_1(k11_matrixj1(u1_struct_0(A),k6_matrixj1(u1_struct_0(A),k7_nat_d(I,1),G))),k17_finseq_1(u1_struct_0(C),k1_wsierp_1(k11_matrixj1(u1_struct_0(A),k6_matrixj1(u1_struct_0(A),I,G))),E))) = k1_matrix_0(k2_matrixj1(u1_struct_0(A),G,I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_matrixr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(C)) ) => k7_matrix_0(u1_struct_0(A),k6_matrix_3(A,C,B),D) = k10_fvsum_1(k1_matrix_0(C),A,k7_matrix_0(u1_struct_0(A),C,D),B) ) ) ) ) ) )).
fof(t20_matrixr2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(C) = k1_matrix_0(D) & k3_finseq_1(C) = k1_matrix_0(B) ) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | r1_xxreal_0(k3_finseq_1(B),k5_numbers) | k4_matrix_3(A,B,k1_matrix_4(A,C,D)) = k1_matrix_4(A,k4_matrix_3(A,B,C),k4_matrix_3(A,B,D)) ) ) ) ) ) ) )).
fof(t20_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_6(D,A,B) => ( ( v2_funct_1(C) & r1_tarski(k1_vectsp_6(A,B,D),k10_xtuple_0(C)) ) => k4_rlvect_1(B,k3_vectsp_6(A,B,C,D)) = k4_vectsp_6(A,B,D) ) ) ) ) ) )).
fof(t20_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => k9_matrlin(A,B,C,k4_struct_0(B)) = k5_finseq_2(u1_struct_0(A),k3_finseq_1(C),k4_struct_0(A)) ) ) ) )).
fof(t20_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r1_xxreal_0(k4_matroid0(A,B),k4_card_1(B)) ) ) )).
fof(t20_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(k3_matrprob(A)) = k3_finseq_1(A) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k2_finseq_1(k3_finseq_1(A))) => k1_funct_1(k3_matrprob(A),B) = k18_rvsum_1(k7_matrix_0(k1_numbers,A,B)) ) ) ) ) )).
fof(t20_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ! [D] : ( m1_matrlin(D,k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A)) => ! [E] : ( m1_matrlin(E,k2_vectsp_1,k6_prvect_1(k2_vectsp_1,B)) => ( ( D = k11_matrix13(k2_vectsp_1,A,A,k3_matrix_1(k2_vectsp_1,A)) & E = k11_matrix13(k2_vectsp_1,B,B,k3_matrix_1(k2_vectsp_1,B)) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(k2_vectsp_1),k3_finseq_1(D),k3_finseq_1(E)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( F = C => r1_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),u1_struct_0(k6_prvect_1(k2_vectsp_1,A)),u1_struct_0(k6_prvect_1(k2_vectsp_1,B)),k3_matrtop1(A,B,C),k4_matrlin2(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A),k6_prvect_1(k2_vectsp_1,B),D,E,F)) ) ) ) ) ) ) ) ) )).
fof(t20_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B),C),B)) = k2_normsp_0(A,k5_algstr_0(A,C,B)) ) ) ) )).
fof(t20_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pboole(A,B,k2_mboolean(A,C)) <=> ? [D] : ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & r1_pboole(A,B,D) & r1_pboole(A,D,C) ) ) ) ) )).
fof(t20_mcart_1,axiom,( ! [A] : ( ? [B] : ? [C] : A = k4_tarski(B,C) => ( A != k1_xtuple_0(A) & A != k2_xtuple_0(A) ) ) )).
fof(t20_measure1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ~ v1_xboole_0(k2_tarski(B,C)) & v4_card_3(k2_tarski(B,C)) & m1_subset_1(k2_tarski(B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(t20_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(B,D,k5_numbers) = k8_nat_1(B,C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(B,D,k1_nat_1(E,1)) = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(E,1)),k8_nat_1(B,C,E)) & r1_tarski(k8_nat_1(B,C,E),k8_nat_1(B,C,k1_nat_1(E,1))) ) ) ) => k5_setfam_1(A,k4_measure1(A,B,D)) = k5_setfam_1(A,k4_measure1(A,B,C)) ) ) ) ) )).
fof(t20_measure3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => r1_measure3(A,k2_measure3(A,B,C),k4_measure3(A,B,C)) ) ) )).
fof(t20_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,A) & r2_hidden(D,B) & r1_xxreal_0(k8_supinf_2(A),k7_supinf_2(B)) ) => r1_xxreal_0(C,D) ) ) ) ) ) )).
fof(t20_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v2_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => r1_tarski(B,k1_measure4(A,k9_measure8(A,B,C))) ) ) )).
fof(t20_member_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k5_member_1(k2_tarski(A,B)) = k2_tarski(k4_xcmplx_0(A),k4_xcmplx_0(B)) ) ) )).
fof(t20_membered,axiom,( ! [A] : ! [B] : ( v2_membered(B) => ( r1_tarski(A,B) => v2_membered(A) ) ) )).
fof(t20_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => k6_memstr_0(A,B,k7_memstr_0(A,B,C)) = k1_xboole_0 ) ) ) )).
fof(t20_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(2))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(2))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k15_euclid(2))) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k7_xcmplx_0(2,3)),k1_rlvect_1(k15_euclid(2),C,k7_xcmplx_0(1,3))) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k7_xcmplx_0(2,3)),k1_rlvect_1(k15_euclid(2),A,k7_xcmplx_0(1,3))) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k7_xcmplx_0(2,3)),k1_rlvect_1(k15_euclid(2),B,k7_xcmplx_0(1,3))) & r2_rltopsp1(k15_euclid(2),A,D,H,I) & r2_rltopsp1(k15_euclid(2),B,E,G,I) & r2_rltopsp1(k15_euclid(2),C,F,G,H) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | k1_euclid_6(G,H,I) = k7_xcmplx_0(k1_euclid_6(A,B,C),7) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( r1_mesfun10(A,B,C) => ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers))) => ( v10_mesfunc5(k3_mesfunc5(A,B,D)) & k2_mesfunc5(k3_mesfunc5(A,B,D)) = k12_supinf_2(C,D) ) ) ) ) ) ) ) )).
fof(t20_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( k12_supinf_2(C,F) = k5_numbers => ( ! [G] : ( m2_subset_1(G,k1_zfmisc_1(A),B) => ~ ( G = k1_relset_1(A,D) & r1_mesfunc6(A,B,D,G) ) ) | r3_mesfunc6(A,B,C,k2_partfun1(A,k1_numbers,D,F)) ) ) ) ) ) ) ) ) )).
fof(t20_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( r2_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k1_numbers,B,k5_numbers))) & v2_comseq_2(k10_seqfunc(A,B,C)) ) => v1_rinfsup2(k3_mesfunc5(A,k5_mesfun7c(A,B),C)) ) ) ) ) )).
fof(t20_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( r2_relset_1(A,k1_numbers,k2_partfun1(A,k1_numbers,k5_comseq_3(A,B),C),k5_comseq_3(A,k2_partfun1(A,k2_numbers,B,C))) & r2_relset_1(A,k1_numbers,k2_partfun1(A,k1_numbers,k6_comseq_3(A,B),C),k6_comseq_3(A,k2_partfun1(A,k2_numbers,B,C))) ) ) ) )).
fof(t20_mesfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ! [E] : ! [F] : ( v1_xreal_0(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => k8_nat_1(C,D,G) = k9_subset_1(A,E,k14_mesfunc1(A,B,k2_xcmplx_0(F,k2_extreal1(1,k1_nat_1(G,1))))) ) => k9_subset_1(A,E,k15_mesfunc1(A,B,F)) = k1_measure2(A,C,k1_measure3(A,C,D)) ) ) ) ) ) )).
fof(t20_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( r2_tarski(C,k1_relset_1(A,B)) & k12_supinf_2(k1_mesfunc2(A,B),C) = k1_supinf_2 ) => k12_supinf_2(k2_mesfunc2(A,B),C) = k2_supinf_2(k12_supinf_2(B,C)) ) ) ) ) )).
fof(t20_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( v6_supinf_2(B) => ( ( r1_xxreal_0(k5_numbers,C) => v6_supinf_2(k6_mesfunc1(A,B,C)) ) & ( r1_xxreal_0(C,k5_numbers) => v2_mesfunc5(k6_mesfunc1(A,B,C)) ) ) ) ) ) ) )).
fof(t20_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => r2_relset_1(A,k6_numbers,k1_mesfunc5(A,k26_valued_1(A,k1_numbers,B,C)),k6_mesfunc1(A,k1_mesfunc5(A,B),C)) ) ) ) )).
fof(t20_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => k3_mesfunc1(A,k2_partfun1(A,k6_numbers,k9_mesfunc1(A,B),k1_relset_1(A,k9_mesfunc1(A,k3_mesfunc1(A,B,C)))),k2_partfun1(A,k6_numbers,k9_mesfunc1(A,C),k1_relset_1(A,k9_mesfunc1(A,k3_mesfunc1(A,B,C))))) = k2_partfun1(A,k6_numbers,k3_mesfunc1(A,k9_mesfunc1(A,B),k9_mesfunc1(A,C)),k1_relset_1(A,k9_mesfunc1(A,k3_mesfunc1(A,B,C)))) ) ) ) )).
fof(t20_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,C,E),D) ) ) => ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,k3_mesfunc8(A,C),E),D) ) ) ) ) ) ) )).
fof(t20_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [F] : ( v7_ordinal1(F) => ( ( v1_mesfunc8(D,A,k6_numbers) & r1_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,D,k5_numbers))) & ! [G] : ( v7_ordinal1(G) => ( r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,D,G),C) & r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,E,G),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,G),C)) ) ) ) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,E,F),C) ) ) ) ) ) ) ) )).
fof(t20_metric_1,axiom,( ! [A] : k1_binop_1(k2_metric_1,A,A) = k5_numbers )).
fof(t20_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k2_metric_2(A)) => ! [C] : ( m1_subset_1(C,k2_metric_2(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_tarski(F,C) & r2_tarski(E,B) & r2_tarski(G,C) ) => k3_metric_1(A,D,F) = k3_metric_1(A,E,G) ) ) ) ) ) ) ) ) )).
fof(t20_metric_3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k16_metric_3,A,B) = k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k16_metric_3,B,A) ) ) )).
fof(t20_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => r2_metric_6(A,k8_metric_1(A,B,D),C) ) ) <=> ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(B,D) & r2_tarski(D,k2_pcomps_1(A)) ) => r2_metric_6(A,D,C) ) ) ) ) ) ) )).
fof(t20_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( r1_ordinal1(k2_waybel23(A),B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v2_tex_2(C,A) => r1_ordinal1(k1_card_1(C),B) ) ) ) ) ) )).
fof(t20_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_rlvect_2(B,k10_funcsdom(k2_finseq_1(A))) => ! [C] : ( m1_rlvect_2(C,k15_euclid(A)) => ( r1_funct_2(u1_struct_0(k15_euclid(A)),k1_numbers,u1_struct_0(k10_funcsdom(k2_finseq_1(A))),k1_numbers,C,B) => k6_rlvect_2(k15_euclid(A),C) = k6_rlvect_2(k10_funcsdom(k2_finseq_1(A)),B) ) ) ) ) )).
fof(t20_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_midsp_1(A,k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E)) => r1_midsp_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t20_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_midsp_2(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_midsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(A)))) ) => ( ( r1_midsp_2(u1_struct_0(B),A,C) & v1_midsp_2(C,B,A) ) => ( ~ v2_struct_0(B) & v2_midsp_1(B) & l1_midsp_1(B) ) ) ) ) ) )).
fof(t20_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => r2_tarski(1,k2_finseq_1(k1_nat_1(A,1))) ) )).
fof(t20_mmlquer2,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ~ ( v1_rewrite1(B) & v2_relat_2(B) & v1_finset_1(A) & v1_finset_1(B) & ! [C] : ( v7_ordinal1(C) => k7_relat_1(k8_funct_7(B,C),A) != k1_xboole_0 ) ) ) )).
fof(t20_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( r1_relset_1(A,A,E,F) & r1_tarski(B,C) & r1_relset_1(A,A,D,G) ) => r1_tarski(k8_mmlquery(A,G,B,E),k8_mmlquery(A,D,C,F)) ) ) ) ) ) ) ) )).
fof(t20_mod_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,A) => m1_subset_1(k1_ordinal1(B),A) ) ) )).
fof(t20_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => v2_mod_3(B,A) ) ) )).
fof(t20_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ( ~ v2_struct_0(k5_mod_4(A,B)) & v13_algstr_0(k5_mod_4(A,B)) & v7_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) & v8_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) & v9_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) & v10_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) & v11_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) & v2_rlvect_1(k5_mod_4(A,B)) & v3_rlvect_1(k5_mod_4(A,B)) & v4_rlvect_1(k5_mod_4(A,B)) & l1_vectsp_1(k5_mod_4(A,B),k2_mod_4(A)) ) ) ) )).
fof(t20_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ( B != k1_modal_1(A) => ( r2_wellord2(k4_trees_1(A,B),a_2_0_modal_1(A,B)) & ~ r2_tarski(k1_modal_1(A),a_2_0_modal_1(A,B)) ) ) ) ) )).
fof(t20_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_partfun1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,C))) ) => ! [E] : ( m1_subset_1(E,C) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k30_modelc_1(C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k18_modelc_1,u3_modelc_1(k48_modelc_1(C,D,F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(C,D,F))))) ) => ( r4_modelc_1(C,D,F,G,E,k8_modelc_1(A,B)) <=> ( r4_modelc_1(C,D,F,G,E,A) & r4_modelc_1(C,D,F,G,E,B) ) ) ) ) ) ) ) ) ) )).
fof(t20_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( v3_modelc_2(A) => ( r1_modelc_2(B,A) <=> B = k10_modelc_2(A) ) ) ) ) )).
fof(t20_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ! [C] : ( ( v1_modelc_3(C,A) & l1_modelc_3(C,A) ) => ( r3_modelc_3(A,B,C) => r1_xxreal_0(k18_modelc_3(A,u2_modelc_3(A,C)),k6_xcmplx_0(k18_modelc_3(A,u2_modelc_3(A,B)),1)) ) ) ) ) )).
fof(t20_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ? [B] : ( v7_ordinal1(B) & ~ v8_ordinal1(B) & B != 1 & r1_nat_d(k1_newton(B,2),A) ) => v1_moebius1(A) ) ) )).
fof(t20_moebius2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_tarski(k9_newton(A),k9_newton(B)) | r1_tarski(k9_newton(B),k9_newton(A)) ) ) ) )).
fof(t20_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v22_algstr_0(B) & v4_vectsp_1(B) & m1_monoid_0(B,A) ) => ! [C] : ( ( v22_algstr_0(C) & v4_vectsp_1(C) & m1_monoid_0(C,A) ) => B = C ) ) ) )).
fof(t20_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_monoid_1(B,A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_monoid_1(B,A))) => ( ! [E] : ( r2_hidden(E,A) => k1_funct_1(C,E) = k1_funct_1(D,E) ) => C = D ) ) ) ) )).
fof(t20_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r1_tarski(k3_tarski(a_3_7_morph_01(A,B,C)),k1_morph_01(A,k5_setfam_1(u1_struct_0(A),B),C)) ) ) ) )).
fof(t20_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,B))) => ( v3_msualg_2(C,A,k11_msafree(A,B)) <=> ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_msaterm(E,A,B,k2_msaterm(A,B,D)) => ( r1_tarski(k2_relset_1(k5_trees_3(u1_struct_0(k5_msafree(A,B))),E),k3_card_3(C)) => r2_tarski(k6_msaterm(A,B,k2_msaterm(A,B,D),E),k1_funct_1(C,k2_msualg_1(A,D))) ) ) ) ) ) ) ) )).
fof(t20_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_msafree4(B,A) ) => ? [C] : ( m3_pboole(C,A,k7_funcop_1(A,k4_ordinal1)) & ? [D] : ( m2_pboole(D,A,B,k7_funcop_1(A,k4_ordinal1)) & v1_msualg_3(D) & r6_pboole(A,C,k2_funct_6(D)) & ! [E] : ( r2_tarski(E,A) => ( v1_funct_1(k2_msafree4(A,B,k7_funcop_1(A,k4_ordinal1),D,E)) & v2_funct_1(k2_msafree4(A,B,k7_funcop_1(A,k4_ordinal1),D,E)) & v1_funct_2(k2_msafree4(A,B,k7_funcop_1(A,k4_ordinal1),D,E),k1_funct_1(B,E),k1_card_1(k1_funct_1(B,E))) & v2_funct_2(k2_msafree4(A,B,k7_funcop_1(A,k4_ordinal1),D,E),k1_card_1(k1_funct_1(B,E))) & m1_subset_1(k2_msafree4(A,B,k7_funcop_1(A,k4_ordinal1),D,E),k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(B,E),k1_card_1(k1_funct_1(B,E))))) & k1_funct_1(C,E) = k1_card_1(k1_funct_1(B,E)) ) ) ) ) ) )).
fof(t20_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v4_msualg_1(C,A) & v1_msafree1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v7_msafree5(D,A,B,C) & m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) ) => k3_msafree5(A,C,D) = B ) ) ) ) )).
fof(t20_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,B,k2_msaterm(A,B,C)) => k7_msaterm(A,B,k6_msaterm(A,B,k2_msaterm(A,B,C),D)) = k2_msualg_1(A,C) ) ) ) ) )).
fof(t20_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( ~ v1_zfmisc_1(C) & ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => k1_funct_1(C,k1_xboole_0) != k4_tarski(D,u1_struct_0(A)) ) ) ) ) ) )).
fof(t20_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( ( v2_relat_1(B) & v2_finset_1(k6_pboole(A,B,C)) ) => v2_finset_1(C) ) ) ) )).
fof(t20_mssublat,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & m1_msualg_2(C,A,B) ) => m1_unialg_2(k12_msualg_1(A,C),k12_msualg_1(A,B)) ) ) ) )).
fof(t20_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( v3_msualg_2(k9_msualg_2(A,B,C),A,B) & r2_pboole(u1_struct_0(A),C,k9_msualg_2(A,B,C)) ) ) ) ) )).
fof(t20_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D))) => ( ( r8_pboole(u1_struct_0(A),D,E) & r1_msualg_3(A,B,C,D) ) => r2_msualg_3(A,B,k6_msualg_3(A,B,C,D),E) ) ) ) ) ) ) )).
fof(t20_msualg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k6_lattices(k6_msualg_5(A,B)) = k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)) ) ) )).
fof(t20_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),D,E) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r1_msualg_6(A,C,D,B,F) => ! [G] : ( m2_msualg_6(G,A,B,D,E) => m2_msualg_6(k3_relat_1(F,G),A,B,C,E) ) ) ) ) ) ) ) ) ) )).
fof(t20_msualg_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => v4_lattice3(k1_msualg_7(A,B)) ) ) ) )).
fof(t20_msualg_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => v2_msualg_7(k6_msualg_5(A,B),k5_msualg_5(u1_struct_0(A),u3_msualg_1(A,B))) ) ) )).
fof(t20_msualg_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( m2_pboole(D,B,C,k6_pboole(B,k7_funcop_1(B,k1_tarski(A)),k7_funcop_1(B,k1_tarski(A)))) => r6_pboole(B,k1_msualg_9(B,C,k7_funcop_1(B,k1_tarski(A)),k7_funcop_1(B,k1_tarski(A)),D),k2_msualg_9(B,C,k7_funcop_1(B,k1_tarski(A)),k7_funcop_1(B,k1_tarski(A)),D)) ) ) )).
fof(t20_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r4_alg_1(A,B,C) => r4_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) ) ) ) )).
fof(t20_mycielsk,axiom,( ! [A] : ( ( v1_necklace(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_dilworth(B,k3_necklace(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_necklace(A)))) ) => ( v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t20_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v9_pre_topc(A) => ( ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ~ v6_nagata_1(B,A) ) | v10_pre_topc(A) ) ) ) )).
fof(t20_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_pcomps_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( m1_setfam_1(B,u1_struct_0(A)) & v1_tops_2(B,A) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ~ ( v1_tops_2(k2_nagata_1(A,C),A) & m1_setfam_1(k2_nagata_1(A,C),u1_struct_0(A)) & r1_setfam_1(k2_nagata_1(A,C),B) & v2_nagata_1(C,A) ) ) ) ) ) ) )).
fof(t20_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) => m1_subset_1(k6_xcmplx_0(B,1),k4_ordinal1) ) ) ) )).
fof(t20_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,A) => ( r1_xxreal_0(k2_xcmplx_0(B,B),A) | k3_nat_d(A,B) = 1 ) ) ) ) )).
fof(t20_nat_3,axiom,( ! [A] : k8_nat_3(A,k16_pre_poly(A)) = 1 )).
fof(t20_nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ~ ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v1_int_2(C) => r1_xxreal_0(k11_nat_3(A,C),k11_nat_3(B,C)) ) ) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => B != k3_xcmplx_0(A,C) ) ) ) ) )).
fof(t20_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( k4_nat_d(k3_xcmplx_0(A,C),B) = k4_nat_d(k3_xcmplx_0(A,D),B) & v1_int_2(B) ) => ( k5_numbers = A | r1_xxreal_0(B,A) | r1_xxreal_0(B,C) | r1_xxreal_0(B,D) | C = D ) ) ) ) ) ) )).
fof(t20_nat_6,axiom,( ! [A] : ( v1_int_1(A) => ( r2_int_1(k4_xcmplx_0(1),1,A) <=> ~ ( A != 2 & A != 1 & A != k4_xcmplx_0(2) & A != k4_xcmplx_0(1) ) ) ) )).
fof(t20_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_nattra_1(A,B,C,C,k1_nattra_1(A,B,C),D) = k4_cat_1(B,k8_cat_1(A,B,C,D)) ) ) ) ) )).
fof(t20_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) => ( ! [E] : ( m1_ncfcont1(E,A,D) => k9_subset_1(u1_struct_0(A),k1_relset_1(u1_struct_0(A),C),E) != k1_tarski(D) ) | r1_ncfcont1(A,B,C,D) ) ) ) ) ) ) )).
fof(t20_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(B)))) ) => ( r2_ncfcont2(A,B,C,D) => r8_ncfcont1(C,B,D,A) ) ) ) ) )).
fof(t20_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & v3_funct_1(k2_partfun1(k1_numbers,u1_struct_0(A),C,B)) ) => ( r2_ndiff_3(A,C,B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_ndiff_3(A,C,B),D) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(t20_ndiff_4,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( r2_ndiff_4(B,C,A) => v1_nfcont_4(k2_partfun1(k1_numbers,k1_euclid(B),C,A),B) ) ) ) )).
fof(t20_ndiff_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(k16_lopban_1(A,B))) => ( ( r1_tarski(k1_rltopsp1(A,D,E),k1_relset_1(u1_struct_0(A),C)) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,k1_rltopsp1(A,D,E)) => r1_nfcont_1(A,B,C,H) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,k2_ndiff_5(A,D,E)) => r1_ndiff_1(A,B,C,H) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( r2_tarski(H,k2_ndiff_5(A,D,E)) => r1_xxreal_0(k2_normsp_0(k16_lopban_1(A,B),k5_algstr_0(k16_lopban_1(A,B),k3_ndiff_1(A,B,C,H),G)),F) ) ) ) => r1_xxreal_0(k2_normsp_0(B,k5_algstr_0(B,k5_algstr_0(B,k7_partfun1(u1_struct_0(B),C,E),k7_partfun1(u1_struct_0(B),C,D)),k17_lopban_1(A,B,G,k5_algstr_0(A,E,D)))),k3_xcmplx_0(F,k2_normsp_0(A,k5_algstr_0(A,E,D)))) ) ) ) ) ) ) ) ) )).
fof(t20_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,E,C,D) & r1_ndiff_6(A,B,F,C,D) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k6_vfunct_1(u1_struct_0(A),B,E,F),C,G),k6_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,E,C,G),k6_ndiff_6(A,B,F,C,G))) ) ) ) ) ) ) ) ) ) )).
fof(t20_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)))) => r3_nfcont_1(k7_prvect_3(A,B),k14_prvect_2(k10_finseq_1(A,B)),k3_ndiff_7(A,B),C) ) ) ) )).
fof(t20_neckla_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_necklace(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_necklace(A))) => ( B = C => k3_necklace(k5_yellow_0(A,k7_subset_1(u1_struct_0(A),k2_struct_0(A),k6_domain_1(u1_struct_0(A),B)))) = k5_yellow_0(k3_necklace(A),k7_subset_1(u1_struct_0(k3_necklace(A)),k2_struct_0(k3_necklace(A)),k6_domain_1(u1_struct_0(k3_necklace(A)),C))) ) ) ) ) )).
fof(t20_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => u1_struct_0(k4_necklace(A)) = A ) )).
fof(t20_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ( k2_net_1(A) != k1_xboole_0 => r1_tarski(k6_net_1(A,B),k2_net_1(A)) ) ) ) )).
fof(t20_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(C,B) & A = k6_xcmplx_0(B,C) ) => k3_newton(C,B) = k3_newton(A,B) ) ) ) ) )).
fof(t20_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(k1_newton(C,E),k2_xcmplx_0(k1_newton(A,E),k1_newton(B,E))) & r1_xxreal_0(k1_newton(C,k2_xcmplx_0(D,E)),k2_xcmplx_0(k1_newton(A,k2_xcmplx_0(D,E)),k1_newton(B,k2_xcmplx_0(D,E)))) ) ) ) ) ) ) )).
fof(t20_nfcont_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( r4_nfcont_1(B,C,A) <=> ( r1_tarski(A,k1_relset_1(u1_struct_0(B),C)) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( v1_xreal_0(E) => ~ ( r2_tarski(D,A) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(G,A) & ~ r1_xxreal_0(F,k2_normsp_0(B,k5_algstr_0(B,G,D))) & r1_xxreal_0(E,k9_complex1(k5_real_1(k7_partfun1(k1_numbers,C,G),k7_partfun1(k1_numbers,C,D)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,D)) & r1_tarski(C,k1_relset_1(k1_numbers,E)) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),D,B),A) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),E,C),A) ) => ( v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),k6_vfunct_1(k1_numbers,A,D,E),k3_xboole_0(B,C)),A) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),k2_vfunct_1(k1_numbers,A,D,E),k3_xboole_0(B,C)),A) ) ) ) ) ) )).
fof(t20_nfcont_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D))) & r1_nfcont_3(B,C,A) & r2_nfcont_1(B,D,k7_partfun1(u1_struct_0(B),C,A)) ) => r1_fcont_1(k1_partfun1(k1_numbers,u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D),A) ) ) ) ) ) )).
fof(t20_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k3_binop_1(k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_normform(A)),B) ) )).
fof(t20_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_normsp_1(B,A) & v3_normsp_1(C,A) ) => v3_normsp_1(k2_normsp_1(A,B,C),A) ) ) ) ) )).
fof(t20_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ( B = C => ( v3_pre_topc(B,k3_normsp_2(A)) <=> v3_pre_topc(C,k4_normsp_2(A)) ) ) ) ) ) )).
fof(t20_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_normsp_3(B,A) & v1_xboole_0(B) ) ) ) )).
fof(t20_numbers,axiom,( r1_tarski(k4_ordinal1,k2_numbers) )).
fof(t20_numeral2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( B = k6_xcmplx_0(k1_newton(10,k3_xcmplx_0(2,A)),1) => r1_nat_d(11,B) ) ) ) )).
fof(t20_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k5_numbers,k1_numpoly1(A)) ) )).
fof(t20_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_o_ring_1(B,A) & v7_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t20_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r3_lattices(A,C,B) & ! [D] : ( ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(D,k7_openlatt(A)) & ~ r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) ) )).
fof(t20_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_oppcat_1(A,B,B,k4_cat_1(A,B)) = k4_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)) ) ) )).
fof(t20_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_ordeq_01(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_ordeq_01(A,B))) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_nfcont_3(H,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( F = C & G = D & H = E & k1_relset_1(k1_numbers,F) = A & k1_relset_1(k1_numbers,G) = A & k1_relset_1(k1_numbers,H) = A ) => ( E = k5_algstr_0(k5_ordeq_01(A,B),C,D) <=> ! [I] : ( m2_subset_1(I,k1_numbers,A) => k7_partfun1(u1_struct_0(B),H,I) = k5_algstr_0(B,k7_partfun1(u1_struct_0(B),F,I),k7_partfun1(u1_struct_0(B),G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_nfcont_3(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( k1_rcomp_1(B,C) = k1_relset_1(k1_numbers,D) & v3_funct_1(k2_partfun1(k1_numbers,u1_struct_0(A),D,k2_rcomp_1(B,C))) ) => ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k1_rcomp_1(B,C)) => k7_partfun1(u1_struct_0(A),D,E) = k7_partfun1(u1_struct_0(A),D,B) ) ) ) ) ) ) ) )).
fof(t20_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_orders_1(A) => ( v1_orders_1(A) & v2_orders_1(A) ) ) ) )).
fof(t20_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,C) & r2_tarski(B,k2_orders_2(A,C)) ) ) ) ) )).
fof(t20_ordinal1,axiom,( ! [A] : ! [B] : ( v3_ordinal1(B) => ~ ( r1_tarski(A,B) & A != k1_xboole_0 & ! [C] : ( v3_ordinal1(C) => ~ ( r2_tarski(C,A) & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => r1_ordinal1(C,D) ) ) ) ) ) ) )).
fof(t20_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,B) => r2_tarski(C,A) ) ) => r1_ordinal1(k3_ordinal2(B),A) ) ) )).
fof(t20_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( ( r1_ordinal1(A,B) & r1_ordinal1(C,D) ) => r1_ordinal1(k11_ordinal2(A,C),k11_ordinal2(B,D)) ) ) ) ) ) )).
fof(t20_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ( A != k1_xboole_0 => k12_ordinal2(k1_xboole_0,A) = k1_xboole_0 ) ) )).
fof(t20_ordinal5,axiom,( ! [A] : ( v7_ordinal1(A) => ( k1_ordinal5(k5_numbers,k3_xcmplx_0(2,A)) = 1 & k1_ordinal5(k5_numbers,k1_nat_1(k3_xcmplx_0(2,A),1)) = k5_numbers ) ) )).
fof(t20_ordinal6,axiom,( ! [A] : k1_card_1(k9_xtuple_0(k2_ordinal6(A))) = k1_card_1(k2_ordinal1(A)) )).
fof(t20_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => ( r1_orders_2(B,E,C) <=> k1_ortsp_1(A,B,C,D,E) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(t20_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ? [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) & r2_hidden(k4_tarski(E,D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) ) => r2_hidden(k4_tarski(C,D),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) ) ) ) ) ) )).
fof(t20_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m2_finseq_2(B,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [D] : ( ( v12_osalg_1(D,A) & l3_msualg_1(D,A) ) => ( r2_osalg_1(A,B,C) => r1_tarski(k1_funct_1(k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,D)),B),k1_funct_1(k6_finseq_2(u1_struct_0(A),u3_msualg_1(A,D)),C)) ) ) ) ) ) )).
fof(t20_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ( r2_tarski(C,k6_osalg_2(A,B)) <=> v3_msualg_2(C,A,B) ) ) ) ) )).
fof(t20_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ( v2_msualg_4(k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)),A,B) & v3_msualg_4(k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)),A,B) & m1_osalg_4(k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B)),A,B) ) ) ) )).
fof(t20_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_parsp_1(A,B,B,C,D) ) ) ) ) )).
fof(t20_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_parsp_2(A,B,C,F) & r1_parsp_2(A,B,C,G) & r1_parsp_2(A,D,E,F) & r1_parsp_2(A,D,E,G) ) => ( r1_parsp_1(A,B,C,D,E) | F = G ) ) ) ) ) ) ) ) ) )).
fof(t20_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_tarski(B)))) ) => ( r2_hidden(A,k1_relset_1(C,D)) => k1_funct_1(D,A) = B ) ) )).
fof(t20_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_tarski(D,k1_relset_1(B,k3_partfun2(B,C,A,E))) <=> ( r2_tarski(D,k1_relset_1(B,E)) & r2_tarski(k7_partfun1(C,E,D),A) ) ) ) ) ) ) )).
fof(t20_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ( r1_setfam_1(B,C) <=> r1_tarski(k4_partit1(A,B),k4_partit1(A,C)) ) ) ) ) )).
fof(t20_partit_2,axiom,( ! [A] : ! [B] : k1_relat_1(k1_partit_2(A,B)) = k1_xboole_0 )).
fof(t20_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( E != C & r1_diraf(A,E,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_diraf(A,E,B,F) & r2_analoaf(A,C,B,D,F) ) ) ) ) ) ) ) ) )).
fof(t20_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ( r2_pboole(A,B,C) & r2_pboole(A,D,E) ) => r2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,E)) ) ) ) ) ) )).
fof(t20_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_pcomps_1(B,A) => k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) = k5_setfam_1(u1_struct_0(A),k1_pcomps_1(A,B)) ) ) ) )).
fof(t20_pcs_0,axiom,( ! [A] : ( ( v14_pcs_0(A) & l2_pcs_0(A) ) => ! [B] : ( ( v14_pcs_0(B) & l2_pcs_0(B) ) => ( r1_tsep_1(A,B) => ( v14_pcs_0(k19_pcs_0(A,B)) & l2_pcs_0(k19_pcs_0(A,B)) ) ) ) ) )).
fof(t20_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( ( C = D & E = F ) => ( r1_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),C,E) <=> r1_pdiff_1(A,B,D,F) ) ) ) ) ) ) ) ) )).
fof(t20_pdiff_2,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( r3_pdiff_1(2,2,B,A) & r3_pdiff_1(2,2,C,A) ) => r3_pdiff_1(2,2,k20_valued_1(k1_euclid(2),k1_numbers,k1_numbers,B,C),A) ) ) ) ) )).
fof(t20_pdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ! [C] : ( m1_rcomp_1(C,k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(2,2),B)) => ( ( r4_pdiff_3(A,B) & r1_tarski(C,k1_relset_1(k1_numbers,k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B))) ) => ! [D] : ( ( v9_ordinal1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k2_relset_1(k1_numbers,E) = k1_tarski(k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(2,2),B)) & r1_tarski(k2_relset_1(k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B))))) & k5_pdiff_3(A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(2,2,k1_pdiff_3(2,2,A),B))))) ) ) ) ) ) ) ) ) )).
fof(t20_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( D = k11_finseq_1(A,B,C) => k10_pdiff_1(3,2,E,D) = k1_fdiff_1(k1_pdiff_2(3,2,E,D),B) ) ) ) ) ) ) )).
fof(t20_pdiff_5,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r2_pdiff_5(B,A) <=> r3_pdiff_1(3,2,k1_pdiff_3(1,3,B),A) ) ) ) )).
fof(t20_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) => ( ( r1_pdiff_1(B,A,C,E) & r1_pdiff_1(B,A,D,E) ) => ( r1_pdiff_1(B,A,k7_integr15(A,k1_euclid(B),C,D),E) & r2_relset_1(k1_euclid(B),k1_euclid(A),k8_pdiff_1(B,A,k7_integr15(A,k1_euclid(B),C,D),E),k7_integr15(A,k1_euclid(B),k8_pdiff_1(B,A,C,E),k8_pdiff_1(B,A,D,E))) ) ) ) ) ) ) ) )).
fof(t20_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_real_ns1(1))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) & C = k3_funct_2(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(D,A),E) ) => ( k5_algstr_0(k4_real_ns1(A),k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,E),B),E) = k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,k4_struct_0(k4_real_ns1(A))),k5_algstr_0(k4_real_ns1(1),B,C)) & k5_algstr_0(k4_real_ns1(A),E,k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,E),B)) = k3_funct_2(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),k7_pdiff_1(A,D,k4_struct_0(k4_real_ns1(A))),k5_algstr_0(k4_real_ns1(1),C,B)) ) ) ) ) ) ) ) )).
fof(t20_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) & v3_nfcont_1(D,k4_real_ns1(A)) ) => ( ( r7_pdiff_1(A,B,E,C,D) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)),k14_pdiff_1(A,B,E,C,D),D) ) <=> ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r1_xxreal_0(F,B) ) => ( r7_pdiff_1(A,1,E,k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(F,B)),D) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(1),k4_real_ns1(1)),k14_pdiff_1(A,1,E,k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(F,B)),D),D) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_pdiff_9,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(1))) => k2_normsp_0(k4_real_ns1(A),k17_lopban_1(k4_real_ns1(1),k4_real_ns1(A),B,C)) = k3_xcmplx_0(k2_normsp_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(A)),B),k2_normsp_0(k4_real_ns1(1),C)) ) ) ) )).
fof(t20_pencil_1,axiom,( ! [A] : ( ( v6_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_pre_topc(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = B => v1_pencil_1(C,A) ) ) ) ) )).
fof(t20_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_pencil_2(A,C,D) => ( v1_zfmisc_1(C) | v1_zfmisc_1(D) | r1_pencil_2(A,k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,C),k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,D)) ) ) ) ) ) ) )).
fof(t20_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_pencil_2(C,A,B) => ! [D] : ( m1_pencil_2(D,A,B) => ( r1_pencil_3(A,B,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(E,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ! [F] : ( m1_pencil_2(F,A,B) => ! [G] : ( m1_pencil_2(G,A,B) => ( ( F = k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),E,C) & G = k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),E,D) ) => r1_pencil_3(A,B,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t20_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(k1_vectsp_9(A,B),C) | v6_pencil_1(k5_pencil_4(A,B,C)) ) ) ) ) ) )).
fof(t20_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ v1_abian(A) & v1_abian(k1_newton(A,B)) ) ) ) )).
fof(t20_petri,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_petri(A) & v3_petri(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k6_petri(A,C)) <=> ~ r1_xboole_0(k9_petri(A,k6_domain_1(u4_struct_0(A),B)),C) ) ) ) ) )).
fof(t20_pnproc_1,axiom,( ! [A] : ! [B] : ( m1_pnproc_1(B,A) => r1_tarski(k10_xtuple_0(k7_pnproc_1(A,B)),k9_funct_2(A,k4_ordinal1)) ) )).
fof(t20_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ( ! [E] : ( r2_tarski(E,D) <=> ( r1_tarski(E,u1_struct_0(B)) & ? [F] : ( m1_polyalg1(F,A,B) & E = u1_struct_0(F) & r1_tarski(C,E) ) ) ) => v3_polyalg1(k6_setfam_1(u1_struct_0(B),D),A,B) ) ) ) ) ) )).
fof(t20_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( A != k5_numbers & ~ r1_xxreal_0(k1_quin_1(A,B,C),k5_numbers) & k4_polyeq_1(k5_numbers,A,B,C,D) = k5_numbers & D != k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) & D != k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) ) ) ) ) ) )).
fof(t20_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( k1_square_1(B) = A & k4_complex1(A) = k5_numbers & ~ r1_xxreal_0(k3_complex1(A),k5_numbers) & B != k3_square_1(k3_complex1(A)) & B != k4_xcmplx_0(k3_square_1(k3_complex1(A))) ) ) ) )).
fof(t20_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( E != k5_numbers => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E,k1_newton(A,3)),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ~ ( A != k2_polyeq_5(k7_xcmplx_0(B,E),k7_xcmplx_0(C,E),k7_xcmplx_0(D,E)) & A != k3_polyeq_5(k7_xcmplx_0(B,E),k7_xcmplx_0(C,E),k7_xcmplx_0(D,E)) & A != k4_polyeq_5(k7_xcmplx_0(B,E),k7_xcmplx_0(C,E),k7_xcmplx_0(D,E)) ) ) ) ) ) ) ) ) )).
fof(t20_polyform,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m2_finseq_1(B,k4_numbers) => k16_rvsum_1(k8_finseq_1(k4_numbers,k1_polyform(A),B)) = k2_xcmplx_0(A,k16_rvsum_1(B)) ) ) )).
fof(t20_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,k5_polynom1(A,B,C,D)),k4_subset_1(k15_pre_poly(A),k3_polynom1(k15_pre_poly(A),B,C),k3_polynom1(k15_pre_poly(A),B,D))) ) ) ) )).
fof(t20_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k8_polynom1(A,B),C) = k4_struct_0(B) ) ) ) )).
fof(t20_polynom3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(k3_finseq_1(A),B) => k18_rvsum_1(k17_finseq_1(k1_numbers,k1_nat_1(B,1),A)) = k2_xcmplx_0(k18_rvsum_1(k17_finseq_1(k1_numbers,B,A)),k1_funct_1(A,k1_nat_1(B,1))) ) ) ) )).
fof(t20_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_polynom4(A,k5_vfunct_1(k4_ordinal1,A,B),C) = k4_algstr_0(A,k2_polynom4(A,B,C)) ) ) ) )).
fof(t20_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k9_polynom3(A),k1_nat_1(B,1)),k9_polynom3(A)) ) ) )).
fof(t20_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v4_vectsp_1(B) & l5_algstr_0(B) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k4_polynom7(A,B,k5_struct_0(B)),k9_polynom1(A,B)) ) )).
fof(t20_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k2_polynom8(A,C,k6_xcmplx_0(B,1)) = k8_group_1(A,k2_polynom8(A,C,B),k2_polynom8(A,C,k4_xcmplx_0(1))) ) ) ) ) )).
fof(t20_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v1_vectsp_2(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v9_struct_0(D,B) & m1_subset_1(D,u1_struct_0(B)) ) => r1_tarski(k3_polynom1(k15_pre_poly(A),B,C),k3_polynom1(k15_pre_poly(A),B,k5_polynom7(A,B,C,D))) ) ) ) ) )).
fof(t20_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ~ ( r1_poset_2(A,C,F) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(G,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ~ ! [H] : ( m1_subset_1(H,A) => ( r2_tarski(k1_funct_1(G,H),B) & k1_funct_1(G,H) = k8_poset_2(A,B,C,D,E,H,k1_funct_1(G,k3_funct_2(A,A,F,H))) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,B) ) => ( r1_xxreal_0(1,A) | ( r1_xxreal_0(A,k1_power(B,A)) & ~ r1_xxreal_0(1,k1_power(B,A)) ) ) ) ) ) )).
fof(t20_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ( k1_msualg_1(B,E) != k1_xboole_0 => ! [F] : ( ( v4_msualg_1(F,B) & l3_msualg_1(F,B) ) => ! [G] : ( m1_subset_1(G,k3_msualg_1(B,E,k14_pralg_2(A,B,C))) => m1_subset_1(k1_funct_1(k9_funct_6(G),D),k3_msualg_1(B,E,k5_pralg_2(A,B,C,D))) ) ) ) ) ) ) ) ) )).
fof(t20_pre_circ,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => k6_xcmplx_0(k4_card_1(A),1) = k7_nat_d(k4_card_1(A),1) ) )).
fof(t20_pre_ff,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k2_pre_ff(D) = k2_xcmplx_0(k3_xcmplx_0(B,k2_pre_ff(k3_xcmplx_0(2,A))),k3_xcmplx_0(C,k2_pre_ff(k1_nat_1(k3_xcmplx_0(2,A),1)))) => k2_pre_ff(D) = k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(B,C),k2_pre_ff(A)),k3_xcmplx_0(C,k2_pre_ff(k1_nat_1(A,1)))) ) ) ) ) ) )).
fof(t20_pre_poly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( m1_subset_1(D,A) => ( ( r2_tarski(D,B) & r3_orders_1(C,B) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,B) => r2_tarski(k1_domain_1(A,A,D,E),C) ) ) ) => k7_partfun1(A,k7_pre_poly(A,B,C),1) = D ) ) ) ) ) )).
fof(t20_pre_topc,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k2_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k2_pre_topc(A,B),k2_pre_topc(A,C)) ) ) ) )).
fof(t20_prefer_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v3_relat_2(A) <=> ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),A) => r2_hidden(k4_tarski(C,B),A) ) ) ) )).
fof(t20_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k2_prelamb(A,B,B)) & r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k1_prelamb(A,B,B)) ) ) ) )).
fof(t20_prepower,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k2_prepower(A,1) = 1 ) ) )).
fof(t20_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => m1_prob_1(k3_subset_1(A,C),A,B) ) ) )).
fof(t20_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ! [F] : ( m2_prob_1(F,A,B) => ( r2_prob_2(A,B,F,C,D,E) <=> ( k3_funct_2(B,k1_numbers,F,k5_prob_1(A,B,k5_prob_1(A,B,C,D),E)) = k4_real_1(k4_real_1(k3_funct_2(B,k1_numbers,F,C),k3_funct_2(B,k1_numbers,F,D)),k3_funct_2(B,k1_numbers,F,E)) & r1_prob_2(A,B,F,C,D) & r1_prob_2(A,B,F,D,E) & r1_prob_2(A,B,F,C,E) ) ) ) ) ) ) ) ) )).
fof(t20_prob_3,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => k1_kurato_0(A,k3_prob_3(A,B)) = k1_kurato_0(A,B) ) )).
fof(t20_prob_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(C) => ( k1_prob_4(A,B,k3_prob_3(A,C),k5_numbers) = k1_prob_4(A,B,C,k5_numbers) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => k1_prob_4(A,B,k3_prob_3(A,C),k1_nat_1(D,1)) = k3_measure1(A,B,k1_prob_4(A,B,C,k1_nat_1(D,1)),k1_prob_4(A,B,C,D)) ) ) ) ) ) )).
fof(t20_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,B,C),k9_cqc_lang(A,B,C)),k4_cqc_the1(A)) ) ) ) )).
fof(t20_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => ~ ( r1_projdes1(A,B,D,F,I) & ~ r1_projdes1(A,B,D,F,G) & ~ r1_projdes1(A,B,D,G,I) & r1_collsp(A,I,G,H) & r1_collsp(A,I,B,C) & r1_collsp(A,I,D,E) & r1_collsp(A,B,G,J) & r1_collsp(A,C,H,J) & r1_collsp(A,D,G,K) & r1_collsp(A,E,H,K) & r1_collsp(A,F,G,L) & I != C & G != H & I != E & r1_collsp(A,J,K,L) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ( ( r5_projpl_1(A,B,C,D,E) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),F) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,D),G) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,E),H) ) => r1_zfmisc_1(F,G,H) ) ) ) ) ) ) ) ) ) )).
fof(t20_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ( ( r1_incsp_1(A,C,E) & D = k1_funct_1(k1_projred1(A,E,F,B),C) ) => ( r1_incsp_1(A,B,E) | r1_incsp_1(A,B,F) | r1_incsp_1(A,D,F) ) ) ) ) ) ) ) ) )).
fof(t20_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,C,E) & ~ r1_incsp_1(A,B,F) & ~ r1_incsp_1(A,C,F) & ~ r1_projred2(A,D,E,F) & r1_projred2(A,D,F,H) & ~ r1_incsp_1(A,C,H) & D != H & B != C & r1_incsp_1(A,B,G) & r1_incsp_1(A,C,G) & ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ~ ( r1_incsp_1(A,I,G) & ~ r1_incsp_1(A,I,D) & ~ r1_incsp_1(A,I,H) & k3_relat_1(k1_projred1(A,D,F,B),k1_projred1(A,F,E,C)) = k3_relat_1(k1_projred1(A,D,H,I),k1_projred1(A,H,E,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_prvect_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) ) => ! [B] : ( m1_prvect_1(B,A) => ! [C] : ( m2_prvect_1(C,A) => ( ! [D] : ( m2_subset_1(D,k4_ordinal1,k4_finseq_1(A)) => ( r1_finseqop(k1_funct_1(A,D),k10_prvect_1(A,C,D),k9_prvect_1(A,B,D)) & v1_setwiseo(k9_prvect_1(A,B,D),k1_funct_1(A,D)) ) ) => r1_finseqop(k4_card_3(A),k11_prvect_1(A,C),k12_prvect_1(A,B)) ) ) ) ) )).
fof(t20_prvect_3,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( v1_relat_1(B) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v2_prvect_2(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B)))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k7_finseq_1(A,B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_prvect_2(B))) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & D = F & E = G & k1_funct_1(C,k10_finseq_1(D,E)) = k7_finseq_1(F,G) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))))) => k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,k3_rlvect_1(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))),D,E)) = k3_rlvect_1(k14_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,D),k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))))) => ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,k1_rlvect_1(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))),D,E)) = k1_rlvect_1(k14_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,k4_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))))) = k4_struct_0(k14_prvect_2(k7_finseq_1(A,B))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))))) => k2_normsp_0(k14_prvect_2(k7_finseq_1(A,B)),k3_funct_2(u1_struct_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B)))),u1_struct_0(k14_prvect_2(k7_finseq_1(A,B))),C,D)) = k2_normsp_0(k14_prvect_2(k10_finseq_1(k14_prvect_2(A),k14_prvect_2(B))),D) ) ) ) ) )).
fof(t20_pscomp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k8_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k2_rcomp_1(A,B)) = a_2_1_pscomp_1(A,B) ) ) )).
fof(t20_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) => r1_relset_1(u1_struct_0(A),u1_struct_0(A),k7_pua2mss1(A,B),B) ) ) )).
fof(t20_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,k3_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)),k1_pzfmisc1(A,B)) => r6_pboole(A,B,C) ) ) ) )).
fof(t20_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ( ~ v2_qc_lang1(k12_qc_lang1(A),A) & ~ v3_qc_lang1(k12_qc_lang1(A),A) & ~ v4_qc_lang1(k12_qc_lang1(A),A) & ~ v5_qc_lang1(k12_qc_lang1(A),A) & ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( ~ ( v2_qc_lang1(B,A) & v3_qc_lang1(B,A) ) & ~ ( v2_qc_lang1(B,A) & v4_qc_lang1(B,A) ) & ~ ( v2_qc_lang1(B,A) & v5_qc_lang1(B,A) ) & ~ ( v3_qc_lang1(B,A) & v4_qc_lang1(B,A) ) & ~ ( v3_qc_lang1(B,A) & v5_qc_lang1(B,A) ) & ~ ( v4_qc_lang1(B,A) & v5_qc_lang1(B,A) ) ) ) ) ) )).
fof(t20_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ( k8_qc_lang2(A,B,C,D,E) = k15_qc_lang1(A,B,k6_qc_lang2(A,C,D,E)) & k9_qc_lang2(A,B,C,D,E) = k5_qc_lang2(A,B,k7_qc_lang2(A,C,D,E)) ) ) ) ) ) ) )).
fof(t20_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ( v6_qc_lang1(k12_qc_lang1(A),A) & v6_qc_lang1(k1_qc_lang2(A),A) ) ) )).
fof(t20_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( r2_qc_lang2(A,C,B) <=> k3_qc_lang4(A,B,C) != k1_xboole_0 ) ) ) ) )).
fof(t20_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ? [C] : ( v4_card_3(C) & m1_qc_lang1(C) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(C))) & v1_qc_trans(A,C) ) ) ) )).
fof(t20_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v17_quantal1(B,A) => ( k1_quantal1(A,C,D) = k1_quantal1(A,k6_algstr_0(A,C,k2_quantal1(A,D,B)),B) & k2_quantal1(A,C,D) = k2_quantal1(A,k6_algstr_0(A,k1_quantal1(A,D,B),C),B) ) ) ) ) ) ) )).
fof(t20_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k22_quaterni(k23_quaterni(A),B) = k23_quaterni(k22_quaterni(A,B)) ) ) )).
fof(t20_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k24_quaterni(k22_quaterni(k10_quaterni,A),k22_quaterni(A,k10_quaterni)) = k5_quaterni(k5_numbers,k3_xcmplx_0(2,k15_quaterni(A)),k5_numbers,k4_xcmplx_0(k3_xcmplx_0(2,k13_quaterni(A)))) ) )).
fof(t20_quaterni,axiom,( k9_quaterni(k10_quaterni,k11_quaterni) = k7_quaterni(k9_quaterni(k11_quaterni,k10_quaterni)) )).
fof(t20_quin_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( ( k1_quin_1(A,B,C) = k5_numbers & k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),k3_xcmplx_0(B,D)),C) = k5_numbers ) => ( A = k5_numbers | D = k4_xcmplx_0(k7_xcmplx_0(B,k3_xcmplx_0(2,A))) ) ) ) ) ) ) )).
fof(t20_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k4_binop_1(k7_quofield(A),k15_quofield(A),k4_binop_1(k7_quofield(A),k15_quofield(A),B,C),D) = k4_binop_1(k7_quofield(A),k15_quofield(A),B,k4_binop_1(k7_quofield(A),k15_quofield(A),C,D)) ) ) ) ) )).
fof(t20_radix_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(2,C) & r2_hidden(A,k3_radix_1(C)) & r2_hidden(B,k3_radix_1(C)) ) => ( r1_xxreal_0(k2_xcmplx_0(k4_xcmplx_0(k1_radix_1(C)),2),k12_radix_1(k2_xcmplx_0(A,B),C)) & r1_xxreal_0(k12_radix_1(k2_xcmplx_0(A,B),C),k6_xcmplx_0(k1_radix_1(C),2)) ) ) ) ) ) )).
fof(t20_radix_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(D,k2_finseq_1(A)) & r1_xxreal_0(2,C) ) => k7_radix_3(D,C,k2_xcmplx_0(k2_xcmplx_0(A,1),1),k10_radix_3(k2_xcmplx_0(A,1),C,k10_radix_1(C,k2_xcmplx_0(A,1),B))) = k7_radix_3(D,C,k2_xcmplx_0(A,1),k10_radix_3(A,C,k10_radix_1(C,A,k4_nat_d(B,k1_newton(k1_radix_1(C),A))))) ) ) ) ) ) )).
fof(t20_radix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v3_card_1(D,k2_xcmplx_0(A,2)) & m2_finseq_1(D,k3_radix_1(C)) ) => ~ ( r1_xxreal_0(2,C) & r2_hidden(B,k2_finseq_1(k2_xcmplx_0(A,2))) & r2_radix_6(B,A,C,k8_radix_6(A,C,D)) & ~ r1_xxreal_0(k4_radix_1(B,C,k2_xcmplx_0(A,2),k8_radix_6(A,C,D)),k5_numbers) & r1_xxreal_0(k8_radix_1(k2_xcmplx_0(A,2),C,k8_radix_6(A,C,D)),k5_numbers) ) ) ) ) ) ) )).
fof(t20_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ! [D] : ( v1_xreal_0(D) => m1_random_1(k26_valued_1(A,k1_numbers,C,D),A,B) ) ) ) ) )).
fof(t20_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) ) => ! [C] : ( v7_ordinal1(C) => m2_prob_1(k1_funct_1(k9_random_3(A,B),C),k1_funct_1(k5_random_3(A),C),k1_random_1(k1_funct_1(k5_random_3(A),C))) ) ) ) )).
fof(t20_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_vectsp_7(C,A,B) => ( v2_vectsp_7(C,A,k1_vectsp_7(A,B,C)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_vectsp_7(A,B,C)))) ) ) ) ) ) )).
fof(t20_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( r1_xxreal_0(k5_numbers,A) => ( ( k2_rat_1(A) != A & k1_rat_1(A) != 1 ) | m1_subset_1(A,k4_ordinal1) ) ) ) )).
fof(t20_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ! [C] : ( ( ~ v9_struct_0(C,A) & m1_subset_1(C,u1_struct_0(A)) ) => ( v5_ratfunc1(k3_ratfunc1(A,k4_polynom5(A,k4_ratfunc1(A,B),C),k4_polynom5(A,k5_ratfunc1(A,B),C)),A) <=> v5_ratfunc1(B,A) ) ) ) ) )).
fof(t20_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( ! [B] : ( m1_subset_1(B,k1_numbers) => ~ ( r2_tarski(B,A) & ! [C] : ( m1_rcomp_1(C,B) => ~ r1_tarski(C,A) ) ) ) => v3_rcomp_1(A) ) ) )).
fof(t20_rcomp_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v4_xxreal_2(A) => r1_tarski(A,k1_limfunc1(k2_seq_4(A))) ) ) )).
fof(t20_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( A != k5_numbers => k7_xcmplx_0(B,A) = k2_xcmplx_0(k8_nat_1(k4_ordinal1,k2_real_3(B,A),k5_numbers),k7_xcmplx_0(1,k7_xcmplx_0(A,k8_nat_1(k4_ordinal1,k1_real_3(B,A),k5_numbers)))) ) ) ) )).
fof(t20_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_funct_2(B,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [C] : ( m2_funct_2(C,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [D] : ( m2_funct_2(D,A,k1_numbers,k9_funct_2(A,k1_numbers)) => r2_funct_2(A,k1_numbers,k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,k1_funcsdom(A,k1_numbers,k4_real_lat(A),C,D)),k1_funcsdom(A,k1_numbers,k4_real_lat(A),k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,C),k1_funcsdom(A,k1_numbers,k5_real_lat(A),B,D))) ) ) ) ) )).
fof(t20_realset2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) ) ) ) )).
fof(t20_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k8_struct_0(A)) => k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),B,B) = k5_struct_0(A) ) ) )).
fof(t20_rearran1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) ) => ! [E] : ( ( v1_rearran1(E) & v2_rearran1(E) & v3_rearran1(E,k1_zfmisc_1(B)) & m2_finseq_1(E,k1_zfmisc_1(B)) ) => ( ( v1_partfun1(D,C) & k4_card_1(B) = k4_card_1(C) ) => ( k20_rfunct_3(B,k15_valued_1(B,k1_numbers,k3_rearran1(C,B,E,D),A),B) = k20_rfunct_3(C,k15_valued_1(C,k1_numbers,D,A),C) & k21_rfunct_3(B,k15_valued_1(B,k1_numbers,k3_rearran1(C,B,E,D),A),B) = k21_rfunct_3(C,k15_valued_1(C,k1_numbers,D,A),C) ) ) ) ) ) ) ) )).
fof(t20_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ( k10_xtuple_0(A) = k9_xtuple_0(k2_relat_1(A)) & k9_xtuple_0(A) = k10_xtuple_0(k2_relat_1(A)) ) ) )).
fof(t20_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => m1_subset_1(k6_relset_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,C))) ) )).
fof(t20_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => r1_tarski(k10_xtuple_0(k3_relset_2(A,C)),k9_setfam_1(k2_relset_1(B,C))) ) )).
fof(t20_revrot_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_tarski(k10_xtuple_0(A),k10_xtuple_0(B)) => r1_tarski(k10_xtuple_0(k1_goboard1(A)),k10_xtuple_0(k1_goboard1(B))) ) ) ) )).
fof(t20_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) <=> ( B = C | r2_hidden(k4_tarski(B,C),k18_finseq_1(A)) ) ) ) )).
fof(t20_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ~ r2_rewrite2(A,k1_partit_2(k8_afinsq_1(A),k8_afinsq_1(A)),B,C) ) ) )).
fof(t20_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k8_afinsq_1(E))) => ! [G] : ( l1_rewrite3(G,F) => ( r2_rewrite3(E,F,G,A,B,C,D) => ( r1_struct_0(G,A) & r1_struct_0(G,C) & r2_hidden(B,k8_afinsq_1(E)) & r2_hidden(D,k8_afinsq_1(E)) & r2_hidden(A,k9_xtuple_0(k9_xtuple_0(u1_rewrite3(F,G)))) & r2_hidden(C,k10_xtuple_0(u1_rewrite3(F,G))) ) ) ) ) ) )).
fof(t20_rfinseq,axiom,( ! [A] : ( ( v8_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( v7_ordinal1(B) => ( v8_valued_0(k17_finseq_1(k1_numbers,B,A)) & m2_finseq_1(k17_finseq_1(k1_numbers,B,A),k1_numbers) ) ) ) )).
fof(t20_rfinseq2,axiom,( ! [A] : ( ( v8_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => k5_rfinseq2(A) = A ) )).
fof(t20_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k45_valued_1(A,k1_valued_1(B,C)) = k45_valued_1(k45_valued_1(A,B),C) ) ) ) )).
fof(t20_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(C,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r2_hidden(D,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(k1_funct_1(B,D),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(t20_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,k8_finseq_1(k3_rfunct_3(A,k1_numbers),B,k12_finseq_1(k3_rfunct_3(A,k1_numbers),C))),k5_rfunct_3(A,k1_numbers,k14_rfunct_3(A,B),C)) ) ) ) )).
fof(t20_rfunct_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v6_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ( r2_rfunct_3(A,B) => ( ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(D,B) & r2_hidden(E,B) & ~ r1_xxreal_0(C,D) & ~ r1_xxreal_0(E,C) ) ) ) | r1_fcont_1(A,C) ) ) ) ) ) )).
fof(t20_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_seq_2(A) & v4_partfun3(A) & v2_seq_2(B) & v4_partfun3(B) ) => ( v2_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) & r1_xxreal_0(k3_xcmplx_0(k2_rinfsup1(A),k2_rinfsup1(B)),k2_rinfsup1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B))) ) ) ) ) )).
fof(t20_rinfsup2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v7_mesfunc5(B) => ( v7_mesfunc5(k1_valued_0(k6_numbers,B,A)) & v10_mesfunc5(k1_valued_0(k6_numbers,B,A)) & k2_mesfunc5(B) = k2_mesfunc5(k1_valued_0(k6_numbers,B,A)) ) ) ) ) )).
fof(t20_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v33_algstr_0(k2_ring_1(A,B)) => v3_ring_1(B,A) ) ) ) )).
fof(t20_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ( v1_gcd_1(B,A) & m1_subset_1(B,u1_struct_0(A)) ) <=> k7_ideal_1(A,k6_domain_1(u1_struct_0(A),B)) = k2_struct_0(A) ) ) ) )).
fof(t20_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_ringcat1(A) ) => ! [B] : ( m3_ringcat1(B,k10_ringcat1(A)) => ! [C] : ( m3_ringcat1(C,k10_ringcat1(A)) => ( k11_ringcat1(A,B) = k12_ringcat1(A,C) => r2_tarski(k6_ringcat1(B,C),k10_ringcat1(A)) ) ) ) ) )).
fof(t20_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_rlvect_2(A,k1_rlaffin1(A,k4_rlvect_2(A),B),k4_rlvect_2(A)) ) ) )).
fof(t20_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & v1_rlaffin1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ v1_xboole_0(B) => r2_tarski(k1_funct_1(k2_rlaffin2(A),B),k1_rlaffin2(A,B)) ) ) ) )).
fof(t20_rlaffin3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( v1_finset_1(C) & v1_rlaffin1(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m2_rlaffin3(D,B,C) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_tarski(E,C) & r2_tarski(A,k4_rlaffin1(B,C)) ) => ( r2_tarski(A,k4_rlaffin1(B,E)) <=> ! [F] : ( r2_tarski(F,k4_finseq_1(k1_rlaffin3(B,C,D,A))) => ( r2_tarski(k1_funct_1(D,F),E) | k1_funct_1(k1_rlaffin3(B,C,D,A),F) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(t20_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rlsub_1(D,A) => ( ( r1_struct_0(D,B) & r1_struct_0(D,C) ) => r1_struct_0(D,k3_rlvect_1(A,B,C)) ) ) ) ) ) )).
fof(t20_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_rlvect_1(B) & m1_rlsub_1(B,A) ) => ( k2_rlsub_2(A,k2_rlsub_1(A),B) = B & k2_rlsub_2(A,B,k2_rlsub_1(A)) = B ) ) ) )).
fof(t20_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k3_convex1(A,B),k3_convex1(A,C)) ) ) ) ) )).
fof(t20_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k1_algstr_0(A,B,B) = k4_struct_0(A) => B = k4_struct_0(A) ) ) ) )).
fof(t20_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k1_numbers,k4_rlvect_2(A),B) = k5_numbers ) ) )).
fof(t20_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => m1_rlsub_1(k1_rlvect_3(A,B),k1_rlvect_3(A,C)) ) ) ) ) )).
fof(t20_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,C),A) => ( B = C | v1_rlvect_3(k7_domain_1(u1_struct_0(A),B,k4_algstr_0(A,C)),A) ) ) ) ) ) )).
fof(t20_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k1_rlvect_3(A,C) = k1_rlvect_3(B,D) ) ) ) ) ) )).
fof(t20_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_tarski(B,k2_rlvect_x(A,k7_domain_1(u1_struct_0(A),B,C))) ) ) ) )).
fof(t20_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_rmod_2(E,A,B) => ( ( r1_struct_0(E,C) & r1_struct_0(E,D) ) => r1_struct_0(E,k3_rlvect_1(B,C,D)) ) ) ) ) ) ) )).
fof(t20_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => ! [E] : ( m1_rmod_2(E,A,B) => ( ( m1_rmod_2(C,A,D) & m1_rmod_2(C,A,E) ) => m1_rmod_2(C,A,k2_rmod_3(A,B,D,E)) ) ) ) ) ) ) )).
fof(t20_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => m2_rmod_4(k3_rmod_4(A,B),A,B,C) ) ) ) )).
fof(t20_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_robbins1(A,B,k6_robbins1(A,B,C)) = B ) ) ) )).
fof(t20_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,B,k3_robbins1(A,k1_lattices(A,C,k3_robbins1(A,B))))) = k3_robbins1(A,B) ) ) ) )).
fof(t20_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_robbins1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l4_robbins1(B) ) => ( ( g4_robbins1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_robbins1(A)) = g4_robbins1(u1_struct_0(B),u2_lattices(B),u1_lattices(B),u1_robbins1(B)) & v10_robbins1(A) ) => v10_robbins1(B) ) ) ) )).
fof(t20_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_robbins4)) => ( ( A = k6_subset_1(3,2) & B = 1 ) => k3_lattices(k2_robbins4,A,B) = 3 ) ) ) )).
fof(t20_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => k3_roughs_1(A,k2_struct_0(A)) = k2_struct_0(A) ) )).
fof(t20_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( r2_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,k6_partfun1(k1_zfmisc_1(A))) => r2_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,B),B) ) ) )).
fof(t20_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_kurato_1(A,B) = k1_enumset1(B,k2_pre_topc(A,B),k1_tops_1(A,B)) ) ) )).
fof(t20_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k1_rpr_1(A,k4_subset_1(A,B,C)) = k6_xcmplx_0(k2_xcmplx_0(k1_rpr_1(A,B),k1_rpr_1(A,C)),k1_rpr_1(A,k9_subset_1(A,B,C))) ) ) ) )).
fof(t20_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_rsspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_rsspace4(A,B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & v1_rsspace4(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_rsspace4(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( E = C & F = D ) => ! [G] : ( v1_xreal_0(G) => ( D = k1_rlvect_1(k9_rsspace4(A,B),C,G) <=> ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,u1_struct_0(B),F,H) = k1_rlvect_1(B,k3_funct_2(A,u1_struct_0(B),E,H),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_bhsp_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v1_bhsp_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ( ( m1_rusub_1(A,B) & m1_rusub_1(B,A) ) => A = B ) ) ) )).
fof(t20_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_bhsp_1(B) & m1_rusub_1(B,A) ) => ( k2_rusub_2(A,k2_rusub_1(A),B) = B & k2_rusub_2(A,B,k2_rusub_1(A)) = B ) ) ) )).
fof(t20_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ~ ( r1_tarski(k3_rlvect_2(A,C),u1_struct_0(B)) & ! [D] : ( m1_rlvect_2(D,B) => ~ ( k3_rlvect_2(B,D) = k3_rlvect_2(A,C) & k6_rlvect_2(B,D) = k6_rlvect_2(A,C) ) ) ) ) ) ) )).
fof(t20_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(B,k1_rusub_4(A)) => k2_rusub_4(A,B) = k1_xboole_0 ) ) ) )).
fof(t20_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( ~ v1_xboole_0(C) & v2_rusub_4(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = k1_rusub_5(A,B,B) & v3_rusub_4(C,A) & r1_rusub_5(A,B,C) ) ) ) )).
fof(t20_rvsum_1,axiom,( ! [A] : ( v1_xreal_0(A) => k6_rvsum_1(k9_finseq_1(A)) = k9_finseq_1(k4_xcmplx_0(A)) ) )).
fof(t20_rvsum_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k2_numbers) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k2_numbers) ) => C = k4_rvsum_2(A,k8_rvsum_2(A,C,B),B) ) ) ) )).
fof(t20_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) ) => r1_xboole_0(k5_rvsum_3(A),k6_rvsum_3(A)) ) )).
fof(t20_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k7_ami_3(1)),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) )).
fof(t20_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) & v2_scm_halt(D) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(E) ) => k1_funct_1(k1_scmfsa6b(k2_scmfsa6a(D,E),A,C),B) = k1_funct_1(k1_scmfsa6b(E,k1_scmfsa6b(D,A,C),C),B) ) ) ) ) ) )).
fof(t20_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 3 => k6_compos_0(u1_compos_1(k1_scmfsa_2),A) = k1_tarski(k1_xboole_0) ) ) )).
fof(t20_scmfsa6a,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => k5_scmfsa6a(A,B) = k3_scmfsa6a(A,k11_compos_1(k1_scmfsa_2,B)) ) ) )).
fof(t20_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa6b(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k2_scmfsa6a(C,D),A,B),k9_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(D,k1_scmfsa6b(C,A,B),B),k4_card_1(C))) ) ) ) ) )).
fof(t20_scmfsa7b,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ( ~ r3_scmfsa7b(A,B) => k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C),B) = k1_funct_1(C,B) ) ) ) ) )).
fof(t20_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) ) => ( r5_scmfsa7b(B,k1_scmfsa_m(E),A) => ( r1_xxreal_0(k1_funct_1(E,D),k5_numbers) | r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k2_scmfsa8b(D,B,C),E,A),k1_funct_4(k1_scmfsa6b(B,E,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),3)))) ) ) ) ) ) ) ) )).
fof(t20_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) => ( ( k1_funct_1(C,k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(E,C,A) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(E,C,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(E,D,B)) ) ) ) ) ) ) )).
fof(t20_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k1_scmfsa_1,k2_scmfsa_1) => k1_funct_1(k6_scmfsa_1(A,B),C) = k1_funct_1(A,C) ) ) ) )).
fof(t20_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k8_scmfsa_2(A,B)) = 3 ) ) )).
fof(t20_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r5_scmfsa7b(C,D,A) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(B,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k2_xcmplx_0(1,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D))))) = k1_nat_1(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)))),3) ) => k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(B,C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(B,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k2_xcmplx_0(1,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D))))) = k11_scmfsa_2(k5_numbers) ) ) ) ) ) )).
fof(t20_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = k1_funct_1(B,k4_scmfsa_2(k5_numbers)) & ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) & ! [C] : ( m1_scmfsa_2(C) => k18_scmfsa_2(A,C) = k18_scmfsa_2(B,C) ) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,A) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,B) ) ) ) )).
fof(t20_scmfsa_x,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k1_funct_1(k4_scmfsa_x(A,B),k1_nat_1(k4_card_1(B),2)) = k11_scmfsa_2(k5_numbers) ) ) )).
fof(t20_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k11_scmpds_2(C,A,B)) = 8 ) ) ) )).
fof(t20_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ~ ( C = k1_funct_4(B,k5_funct_4(u1_compos_1(k1_scmpds_2),k5_memstr_0(k5_card_1(2),k1_scmpds_2,A),k1_nat_1(k5_memstr_0(k5_card_1(2),k1_scmpds_2,A),1),k3_scmpds_2(1),k3_scmpds_2(k4_xcmplx_0(1)))) & r1_extpro_1(k5_card_1(2),k1_scmpds_2,C,A) ) ) ) ) )).
fof(t20_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( r1_tarski(k10_compos_1(k1_scmpds_2,C),A) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,A,B)) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,E) ) ) ) ) ) ) ) )).
fof(t20_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v1_scmpds_4(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => r1_scmpds_6(A,B,C) ) ) ) ) )).
fof(t20_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_tarski(C,D) & r1_scmpds_6(C,A,B) & r2_scmpds_6(C,A,B) & r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) ) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E) ) ) ) ) ) ) )).
fof(t20_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) => ( r1_scmpds_6(k2_scmpds_8(D,E,C),B,A) & r2_scmpds_6(k2_scmpds_8(D,E,C),B,A) ) ) ) ) ) ) ) )).
fof(t20_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmring2(A))) => ( v2_extpro_1(B,k5_card_1(2),k1_scmring2(A)) => B = k2_compos_1(k1_scmring2(A)) ) ) ) )).
fof(t20_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_scmring2(A)))) => ( B = k5_numbers => k6_compos_0(u1_compos_1(k1_scmring2(A)),B) = k1_tarski(k5_numbers) ) ) ) )).
fof(t20_scmyciel,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes1(A) ) => r2_tarski(k1_xboole_0,A) ) )).
fof(t20_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ ( B != C & D != E & ~ ( B = D & C = E ) & ~ ( B = E & C = D ) ) => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t20_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B),C),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,C),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C))) ) ) ) )).
fof(t20_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v2_comseq_2(B) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(k1_funct_1(A,D),k1_funct_1(C,D)) & r1_xxreal_0(k1_funct_1(C,D),k1_funct_1(B,D)) ) ) & k1_seq_2(A) = k1_seq_2(B) ) => k1_seq_2(C) = k1_seq_2(A) ) ) ) ) )).
fof(t20_seq_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(B) => k1_seq_2(k1_valued_0(k1_numbers,B,A)) = k1_seq_2(B) ) ) ) )).
fof(t20_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( r2_seqfunc(A,B,C) <=> ( r1_seqfunc(A,k1_numbers,B,C) & ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,C) => v2_comseq_2(k10_seqfunc(A,B,D)) ) ) ) ) ) ) )).
fof(t20_seqm_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => k1_valued_0(k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A) = k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k1_valued_0(k1_numbers,B,A),k1_valued_0(k1_numbers,C,A)) ) ) ) )).
fof(t20_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(k5_numbers,k8_nat_1(k1_numbers,A,C)) & r1_xxreal_0(k8_nat_1(k1_numbers,A,C),k8_nat_1(k1_numbers,B,C)) ) ) & v1_series_1(B) ) => ( v1_series_1(A) & r1_xxreal_0(k4_series_1(A),k4_series_1(B)) ) ) ) ) )).
fof(t20_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(B,6) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(k3_xcmplx_0(2,B),1)),k2_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,4)),k3_xcmplx_0(6,k1_newton(B,3))),k3_xcmplx_0(3,B)),1)),42) ) ) ) )).
fof(t20_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ( k2_xcmplx_0(A,B) = 1 => r1_xxreal_0(9,k3_xcmplx_0(k2_xcmplx_0(1,k7_xcmplx_0(1,A)),k2_xcmplx_0(1,k7_xcmplx_0(1,B)))) ) ) ) )).
fof(t20_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(1,k2_xcmplx_0(k2_prepower(2,k1_nat_1(C,1)),k2_prepower(2,C))) ) => k8_nat_1(k1_numbers,k3_series_1(B),A) = k2_prepower(2,k1_nat_1(A,1)) ) ) ) )).
fof(t20_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(3,k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(A,B),k7_xcmplx_0(B,C)),k7_xcmplx_0(C,A))) ) ) ) )).
fof(t20_setfam_1,axiom,( ! [A] : r1_setfam_1(A,k2_setfam_1(A,A)) )).
fof(t20_setlim_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(A,k1_funct_1(k4_setlim_1(B,C),D)) <=> ? [E] : ( v7_ordinal1(E) & r2_hidden(A,k1_funct_1(C,k2_xcmplx_0(D,E))) ) ) ) ) )).
fof(t20_setlim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => k7_nat_1(k9_setfam_1(B),k9_setlim_2(B,D,C),A) = k9_setlim_2(B,k7_nat_1(k9_setfam_1(B),D,A),C) ) ) ) )).
fof(t20_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v3_binop_1(C,B) & v1_binop_1(C,B) & v2_binop_1(C,B) ) => ( D = k1_xboole_0 | ! [F] : ( m1_subset_1(F,A) => k7_setwiseo(A,B,C,k5_setwiseo(A,D,k2_setwiseo(A,F)),E) = k4_binop_1(B,C,k7_setwiseo(A,B,C,D,E),k3_funct_2(A,B,E,F)) ) ) ) ) ) ) ) ) )).
fof(t20_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,A) => ( ( r2_tarski(C,k4_finseq_1(D)) => k1_funct_1(k1_setwop_2(A,D,B),C) = k1_funct_1(D,C) ) & ( ~ r2_tarski(C,k4_finseq_1(D)) => k1_funct_1(k1_setwop_2(A,D,B),C) = B ) ) ) ) ) ) )).
fof(t20_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => r1_tarski(k3_sf_mastr(k1_funct_4(A,B)),k4_subset_1(k2_scmfsa_2,k3_sf_mastr(A),k3_sf_mastr(B))) ) ) )).
fof(t20_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(E) ) => ( ( k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k4_scmfsa_2(k5_numbers)) = 1 & r5_scmfsa7b(E,k1_scmfsa_m(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D)),k1_funct_4(B,k1_sfmastr2(C,E))) ) => ( r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(C),k3_sf_mastr(E)))),k5_numbers) | k11_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),k1_nat_1(D,1)),k2_xboole_0(k3_sf_mastr(E),k3_scmfsa_2)) = k5_relat_1(k1_scmfsa6b(E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k1_funct_4(B,k1_sfmastr2(C,E))),k2_xboole_0(k3_sf_mastr(E),k3_scmfsa_2)) ) ) ) ) ) ) ) )).
fof(t20_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) & v3_compos_1(F,k1_scmfsa_2) & v4_compos_1(F,k1_scmfsa_2) & v5_amistd_1(F,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(F) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 & r1_sfmastr3(E,B,C,D,F,A) ) => ! [G] : ( v7_ordinal1(G) => ( ~ ( ~ r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(E,B,C,D,F,A),G),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F)))),k5_numbers) & r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),1),G) ) & ~ ( ~ r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),1),G) & r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(E,B,C,D,F,A),G),k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(F)))),k5_numbers) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ! [C] : ! [D] : ( r2_tarski(k2_tarski(C,D),u1_sgraph1(B)) => ( r2_tarski(C,u1_struct_0(B)) & r2_tarski(D,u1_struct_0(B)) & C != D ) ) ) )).
fof(t20_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v3_sheffer1(A) & l3_lattices(A) ) => k6_lattices(A) = k1_sheffer1(A) ) )).
fof(t20_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,B,C) = k5_sheffer1(A,C,B) ) ) ) )).
fof(t20_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( ( v1_matroid0(A) & v1_finset_1(u1_pre_topc(A)) ) => v2_simplex0(A) ) ) )).
fof(t20_simplex1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ( r1_tarski(k3_simplex1(B,C),k2_struct_0(C)) => k5_simplex1(k2_xcmplx_0(A,1),B,C) = k4_simplex1(B,k5_simplex1(A,B,C)) ) ) ) ) )).
fof(t20_simplex2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(B))),u1_struct_0(k15_euclid(k2_xcmplx_0(A,B)))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(B))),u1_struct_0(k15_euclid(k2_xcmplx_0(A,B)))))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(B))) => k1_binop_1(C,D,E) = k7_finseq_1(D,E) ) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(B))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(k2_xcmplx_0(A,B)))) => ( G = k7_finseq_1(E,F) => k7_relset_1(u1_struct_0(k2_borsuk_1(k15_euclid(A),k15_euclid(B))),u1_struct_0(k15_euclid(k2_xcmplx_0(A,B))),C,k3_borsuk_1(k3_pcomps_1(k14_euclid(A)),k3_pcomps_1(k14_euclid(B)),k4_euclid_9(A,E,D),k4_euclid_9(B,F,D))) = k4_euclid_9(k2_xcmplx_0(A,B),G,D) ) ) ) ) ) ) ) ) ) )).
fof(t20_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k9_complex1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k12_sin_cos(B,A,C))),D)) = k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k12_sin_cos(B,A,C))),D) ) ) ) ) )).
fof(t20_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k1_funct_1(k3_sin_cos2,k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) & k1_funct_1(k3_sin_cos2,k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) ) ) ) )).
fof(t20_sin_cos3,axiom,( k15_sin_cos(k5_complex1) = 1 )).
fof(t20_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k19_sin_cos(A) != k5_numbers & k19_sin_cos(B) != k5_numbers & k6_xcmplx_0(k1_sin_cos4(A),k1_sin_cos4(B)) != k7_xcmplx_0(k17_sin_cos(k6_xcmplx_0(A,B)),k3_xcmplx_0(k19_sin_cos(A),k19_sin_cos(B))) ) ) ) )).
fof(t20_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_square_1(k17_sin_cos(A)) = k7_xcmplx_0(k6_xcmplx_0(1,k19_sin_cos(k3_xcmplx_0(2,A))),2) ) )).
fof(t20_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ( ( r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & r1_xxreal_0(A,k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B))) ) => r1_xxreal_0(k5_numbers,k19_sin_cos(A)) ) ) ) )).
fof(t20_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(1,k1_square_1(A)),k6_xcmplx_0(1,k1_square_1(A))),1) ) ) )).
fof(t20_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_sin_cos2(k6_xcmplx_0(A,B)),k2_sin_cos2(A)),k2_sin_cos2(k2_xcmplx_0(A,B))),k2_xcmplx_0(k2_xcmplx_0(k4_sin_cos2(k6_xcmplx_0(A,B)),k4_sin_cos2(A)),k4_sin_cos2(k2_xcmplx_0(A,B)))) = k6_sin_cos2(A) ) ) )).
fof(t20_sin_cos9,axiom,( ! [A] : ( r2_tarski(A,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos))) => r2_tarski(k1_funct_1(k27_sin_cos,A),k1_rcomp_1(k4_xcmplx_0(1),1)) ) )).
fof(t20_sincos10,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t20_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( v2_funct_1(B) & r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) & v1_zfmisc_1(k2_topreal1(2,B,A)) ) ) ) )).
fof(t20_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ~ v1_xboole_0(A) => k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),k12_finseq_1(u1_struct_0(k15_euclid(2)),B),A)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),B,k7_partfun1(u1_struct_0(k15_euclid(2)),A,1)),k3_topreal1(2,A)) ) ) ) )).
fof(t20_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( k12_pscomp_1(A) = k13_pscomp_1(A) => v1_sppol_1(A) ) ) )).
fof(t20_sprect_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,C)) & r1_xxreal_0(k18_euclid(B),k18_euclid(A)) & r1_xxreal_0(k18_euclid(B),k18_euclid(C)) & A != B & B != C & ~ ( k18_euclid(A) = k18_euclid(B) & k18_euclid(C) = k18_euclid(B) ) ) ) ) ) )).
fof(t20_sprect_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(B,k3_finseq_1(C)) ) => ( r1_xxreal_0(B,A) | k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),C,A,B)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k3_finseq_6(u1_struct_0(k15_euclid(2)),C,A,k7_nat_d(B,1))),k2_topreal1(2,C,k7_nat_d(B,1))) ) ) ) ) ) )).
fof(t20_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ r1_xxreal_0(k3_finseq_1(A),k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t20_square_1,axiom,( k3_square_1(4) = 2 )).
fof(t20_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_subset_1(C,B) => ( ~ v1_setfam_1(k2_xboole_0(k1_tarski(k1_xboole_0),k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B))))) & v1_srings_1(k2_xboole_0(k1_tarski(k1_xboole_0),k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B)))),C) & v3_srings_1(k2_xboole_0(k1_tarski(k1_xboole_0),k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B)))),C) & m1_subset_1(k2_xboole_0(k1_tarski(k1_xboole_0),k3_tarski(k3_xboole_0(k1_partit1(C),k5_finsub_1(B)))),k1_zfmisc_1(k1_zfmisc_1(C))) ) ) ) )).
fof(t20_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(k7_stacks_1(A,B,D),k11_stacks_1(A,C)) => r2_tarski(B,k11_stacks_1(A,C)) ) & ( r2_tarski(k5_stacks_1(A,B),k11_stacks_1(A,C)) => ( r1_stacks_1(A,B) | r2_tarski(B,k11_stacks_1(A,C)) ) ) ) ) ) ) ) )).
fof(t20_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ( ( v2_funct_2(C,k5_card_1(A)) & v1_stirl2_1(C,B,A) & B = A ) => C = k6_partfun1(B) ) ) ) ) )).
fof(t20_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( m2_subset_1(C,k16_substut1(A),k38_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => ( k2_sublemma(A,k6_sublemma(A,B,C)) = k7_cqc_lang(A,k2_sublemma(A,B),k2_sublemma(A,C)) & k19_substut1(A,k6_sublemma(A,B,C)) = k19_substut1(A,B) ) ) ) ) ) )).
fof(t20_subset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ( r1_tarski(B,C) & r1_tarski(B,k3_subset_1(A,C)) ) => B = k1_xboole_0 ) ) )).
fof(t20_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => k3_substlat(A,B,k4_substlat(A,B,C,k3_substlat(A,B,D))) = k3_substlat(A,B,k4_substlat(A,B,C,D)) ) ) )).
fof(t20_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) => ! [D] : ( m1_substut1(D,A,B) => ! [E] : ( m1_substut1(E,A,C) => ( ( v3_substut1(B,A) & v3_substut1(C,A) & k24_substut1(A,B,D) = k24_substut1(A,C,E) ) => B = C ) ) ) ) ) ) )).
fof(t20_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k4_substut2(A,k7_cqc_lang(A,B,C),D,E) = k7_cqc_lang(A,k4_substut2(A,B,D,E),k4_substut2(A,C,D,E)) & ( ( k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k4_substut2(A,B,D,E)) & k7_cqc_sim1(A,C) = k7_cqc_sim1(A,k4_substut2(A,C,D,E)) ) => k7_cqc_sim1(A,k7_cqc_lang(A,B,C)) = k7_cqc_sim1(A,k4_substut2(A,k7_cqc_lang(A,B,C),D,E)) ) ) ) ) ) ) ) )).
fof(t20_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( k11_supinf_2(k6_numbers,A,k6_supinf_2(B),k14_supinf_2(A,B,C)) = k2_supinf_2(k10_supinf_2(k6_numbers,A,B,C)) & k10_supinf_2(k6_numbers,A,k6_supinf_2(B),k14_supinf_2(A,B,C)) = k2_supinf_2(k11_supinf_2(k6_numbers,A,B,C)) ) ) ) ) )).
fof(t20_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( r1_orders_2(B,F,D) & r1_orders_2(B,F,E) ) => ( r1_orders_2(B,D,C) | k1_symsp_1(A,B,k3_rlvect_1(B,C,F),D,E) = k1_symsp_1(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t20_sysrel,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r1_tarski(B,k2_zfmisc_1(A,A)) => ( k6_subset_1(B,k4_relat_1(k9_xtuple_0(B))) = k6_subset_1(B,k4_relat_1(A)) & k6_subset_1(B,k4_relat_1(k10_xtuple_0(B))) = k6_subset_1(B,k4_relat_1(A)) ) ) ) )).
fof(t20_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ! [D] : ( ( v1_taxonom1(B,A) & v2_metric_1(B,A) & v3_metric_1(B,A) & r2_hidden(k4_tarski(C,D),k1_taxonom1(A,B,k5_numbers)) ) => C = D ) ) ) )).
fof(t20_taxonom2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_abian(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v5_taxonom2(B,A) & m1_taxonom2(B,A) ) => ~ ( v6_taxonom2(B,A) & ~ r2_tarski(k1_xboole_0,B) & ! [C] : ~ ( C != k1_xboole_0 & r1_tarski(C,k1_partit1(A)) & ! [D] : ! [E] : ~ ( r2_tarski(D,C) & r2_tarski(E,C) & ~ r1_setfam_1(D,E) & ~ r1_setfam_1(E,D) ) & ! [D] : ! [E] : ~ ( r2_tarski(D,C) & r2_tarski(E,C) & ! [F] : ( r2_tarski(F,C) => ( r1_setfam_1(F,E) & r1_setfam_1(D,F) ) ) ) ) & ! [C] : ( m1_taxonom1(C,A) => k3_tarski(C) != B ) ) ) ) )).
fof(t20_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_fdiff_1(B,A) => ( r1_xxreal_0(k1_funct_1(B,A),k5_numbers) | ( r1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1),A) & k1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1),A) = k7_xcmplx_0(k1_fdiff_1(B,A),k1_funct_1(B,A)) ) ) ) ) ) )).
fof(t20_taylor_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(B,k5_numbers) => ( k8_nat_1(k1_numbers,k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(B),B),C),k3_xcmplx_0(2,A)) = k5_numbers & k3_funct_2(k4_ordinal1,k1_numbers,k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(B),B),C),k1_nat_1(k3_xcmplx_0(2,A),1)) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),A),k1_newton(C,k1_nat_1(k3_xcmplx_0(2,A),1))),k2_newton(k1_nat_1(k3_xcmplx_0(2,A),1))) & k8_nat_1(k1_numbers,k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(B),B),C),k3_xcmplx_0(2,A)) = k7_xcmplx_0(k3_xcmplx_0(k1_newton(k4_xcmplx_0(1),A),k1_newton(C,k3_xcmplx_0(2,A))),k2_newton(k3_xcmplx_0(2,A))) & k3_funct_2(k4_ordinal1,k1_numbers,k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(B),B),C),k1_nat_1(k3_xcmplx_0(2,A),1)) = k5_numbers ) ) ) ) ) )).
fof(t20_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = k1_tarski(B) => k2_tbsp_1(A,C) = k5_numbers ) ) ) )).
fof(t20_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v6_tops_1(k1_struct_0(A),A) ) )).
fof(t20_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k1_tarski(B) => k1_tdlat_2(A,C) = k1_tarski(k1_tops_1(A,B)) ) ) ) ) )).
fof(t20_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B = k1_tarski(C) => k2_pre_topc(A,B) = u1_struct_0(A) ) ) ) => v2_tdlat_3(A) ) ) )).
fof(t20_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => r1_tarski(k3_polynom1(k15_pre_poly(A),C,k5_termord(A,B,C,D)),k3_polynom1(k15_pre_poly(A),C,D)) ) ) ) ) )).
fof(t20_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_tex_1(A,B)))) => ( ( r1_tarski(k6_domain_1(A,B),C) => v4_pre_topc(C,k3_tex_1(A,B)) ) & ( v4_pre_topc(C,k3_tex_1(A,B)) => ( v1_xboole_0(C) | r1_tarski(k6_domain_1(A,B),C) ) ) ) ) ) ) )).
fof(t20_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(B) => ( v2_tex_2(C,A) <=> v1_tdlat_3(B) ) ) ) ) ) )).
fof(t20_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( m1_pre_topc(B,C) => ( v2_tex_3(B,C) & m1_pre_topc(B,C) ) ) ) ) ) )).
fof(t20_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v3_tex_4(k2_tex_4(A,B),A) ) ) )).
fof(t20_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(u1_struct_0(A),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(u1_struct_0(A),k1_numbers)))) ) => ( ( r3_seqfunc(u1_struct_0(A),B,u1_struct_0(A)) & ! [C] : ( v7_ordinal1(C) => ( v1_funct_1(k1_seqfunc(u1_struct_0(A),k1_numbers,B,C)) & v1_funct_2(k1_seqfunc(u1_struct_0(A),k1_numbers,B,C),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k1_seqfunc(u1_struct_0(A),k1_numbers,B,C),A,k3_topmetr) & m1_subset_1(k1_seqfunc(u1_struct_0(A),k1_numbers,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) ) ) => ( v1_funct_1(k11_seqfunc(u1_struct_0(A),B,u1_struct_0(A))) & v1_funct_2(k11_seqfunc(u1_struct_0(A),B,u1_struct_0(A)),u1_struct_0(A),u1_struct_0(k3_topmetr)) & v5_pre_topc(k11_seqfunc(u1_struct_0(A),B,u1_struct_0(A)),A,k3_topmetr) & m1_subset_1(k11_seqfunc(u1_struct_0(A),B,u1_struct_0(A)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) ) ) ) )).
fof(t20_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v2_pre_topc(E) & l1_pre_topc(E) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_pre_topc(F) & l1_pre_topc(F) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k15_euclid(B))) => ( ( r1_t_0topsp(E,k1_pre_topc(k15_euclid(A),k1_topreal9(A,G,C))) & r1_t_0topsp(F,k1_pre_topc(k15_euclid(B),k1_topreal9(B,H,D))) ) => ( r1_xxreal_0(C,k5_numbers) | r1_xxreal_0(D,k5_numbers) | r1_t_0topsp(k2_borsuk_1(E,F),k1_pre_topc(k15_euclid(k2_xcmplx_0(A,B)),k1_topreal9(k2_xcmplx_0(A,B),k4_struct_0(k15_euclid(k2_xcmplx_0(A,B))),1))) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => k1_tsep_1(A,B,B) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) ) ) )).
fof(t20_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ~ ( r2_hidden(k4_tarski(C,D),B) & ! [E] : ( ( v1_toler_1(E,A,B) & m1_toler_1(E,A,B) ) => ~ ( r2_hidden(C,E) & r2_hidden(D,E) ) ) ) ) )).
fof(t20_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ! [G] : ( m1_borsuk_2(G,A,C,D) => ( r4_borsuk_2(A,B,C,E,F) => r4_borsuk_2(A,B,C,E,k1_borsuk_2(A,B,D,C,k1_borsuk_2(A,B,C,D,F,G),k2_borsuk_2(A,C,D,G))) ) ) ) ) ) ) ) ) )).
fof(t20_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_pre_topc(E) & l1_pre_topc(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k2_borsuk_1(C,E)),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(C,E)),u1_struct_0(A)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k2_borsuk_1(D,E)),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(D,E)),u1_struct_0(A)))) ) => ! [H] : ( ( v4_pre_topc(H,B) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(B))) ) => ! [I] : ( ( v4_pre_topc(I,B) & m1_subset_1(I,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( m1_pre_topc(C,B) & m1_pre_topc(D,B) & H = k2_struct_0(C) & I = k2_struct_0(D) & k2_xboole_0(k2_struct_0(C),k2_struct_0(D)) = k2_struct_0(B) & v5_pre_topc(F,k2_borsuk_1(C,E),A) & v5_pre_topc(G,k2_borsuk_1(D,E),A) & ! [J] : ( r2_tarski(J,k9_subset_1(u1_struct_0(k2_borsuk_1(D,E)),k2_struct_0(k2_borsuk_1(C,E)),k2_struct_0(k2_borsuk_1(D,E)))) => k1_funct_1(F,J) = k1_funct_1(G,J) ) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k2_borsuk_1(B,E)),u1_struct_0(A)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(B,E)),u1_struct_0(A)))) ) => ~ ( J = k1_funct_4(F,G) & v5_pre_topc(J,k2_borsuk_1(B,E),A) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_2(I,B,E,F) => ! [J] : ( m1_borsuk_2(J,B,E,F) => ( ( r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),I,k4_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),J,k4_topalg_4(A,B,k5_topmetr,H)) & r3_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) ) => r3_borsuk_2(B,E,F,I,J) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_topalg_5,axiom,( ! [A] : ( v1_xreal_0(A) => r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),k5_topalg_5(A),k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k2_topalg_5(A),k12_toprealb)) ) )).
fof(t20_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v4_topalg_6(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(A)))) ) => m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) ) )).
fof(t20_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_topdim_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k2_topdim_1(A,B),k4_topdim_1(A)) ) ) )).
fof(t20_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(A,1) => k4_topdim_1(k15_euclid(A)) = A ) ) )).
fof(t20_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r2_tarski(C,k7_subset_1(u1_struct_0(A),B,k2_topgen_1(A,B))) <=> r2_topgen_1(A,B,C) ) ) ) )).
fof(t20_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topgen_2(A,B)))) => ( v4_pre_topc(C,k5_topgen_2(A,B)) <=> ~ ( r2_tarski(B,A) & ~ r2_tarski(B,C) & ~ v1_finset_1(C) ) ) ) )).
fof(t20_topgen_3,axiom,( k1_card_1(a_0_0_topgen_3) = k3_topgen_3 )).
fof(t20_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),B) => ( v4_pre_topc(B,A) <=> v2_tops_2(C,A) ) ) ) ) ) )).
fof(t20_topgen_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ( r1_tarski(k1_topreal9(2,k19_euclid(A,B),C),k2_topgen_5) <=> r1_xxreal_0(C,B) ) ) ) ) ) )).
fof(t20_topgrp_1,axiom,( ! [A] : ( l1_pre_topc(A) => v3_tops_2(k3_struct_0(A),A,A) ) )).
fof(t20_topmetr,axiom,( k4_topmetr(k5_numbers,1) = k17_borsuk_1 )).
fof(t20_topreal1,axiom,( r1_subset_1(k1_rltopsp1(k15_euclid(2),k19_euclid(k5_numbers,k5_numbers),k19_euclid(k5_numbers,1)),k1_rltopsp1(k15_euclid(2),k19_euclid(1,k5_numbers),k19_euclid(1,1))) )).
fof(t20_topreal3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k3_topreal1(2,k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)),k3_topreal1(2,A)) ) ) )).
fof(t20_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) => ( ( r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k8_metric_1(k14_euclid(2),E,D)) & r2_tarski(A,k8_metric_1(k14_euclid(2),E,D)) & r2_tarski(k19_euclid(k17_euclid(A),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)))),k8_metric_1(k14_euclid(2),E,D)) & v4_topreal1(B) & C = k8_finseq_1(u1_struct_0(k15_euclid(2)),B,k2_finseq_4(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(A),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)))),A)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k19_euclid(k17_euclid(A),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))))),k1_rltopsp1(k15_euclid(2),k19_euclid(k17_euclid(A),k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)))),A)),k3_topreal1(2,B)) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) ) => ( k17_euclid(A) = k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) | k18_euclid(A) = k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) | ( r1_topreal4(k3_topreal1(2,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,C),k2_xboole_0(k3_topreal1(2,B),k8_metric_1(k14_euclid(2),E,D))) ) ) ) ) ) ) ) ) )).
fof(t20_topreal6,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v2_compts_1(C,A) ) ) => v2_compts_1(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t20_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & l1_metric_1(B) ) => v6_metric_1(k1_topreal7(A,B)) ) ) )).
fof(t20_topreal8,axiom,( ! [A] : ( ( v1_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(k3_finseq_1(A),B) => v3_topreal1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(t20_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ~ ( ~ v1_xboole_0(k1_topreal9(A,C,B)) & r1_xxreal_0(B,k5_numbers) ) ) ) ) )).
fof(t20_topreala,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k3_topmetr)) => ! [B] : ( m1_connsp_2(B,k3_topmetr,A) => ? [C] : ( m1_rcomp_1(C,A) & r1_tarski(C,B) ) ) ) )).
fof(t20_toprealb,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => r2_borsuk_3(k7_toprealb(A,D,B),k7_toprealb(A,E,C)) ) ) ) ) ) )).
fof(t20_toprealc,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => ~ ( k12_euclid(A) != k5_numbers & ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,k4_finseq_1(A)) & k1_funct_1(A,B) != k5_numbers ) ) ) ) )).
fof(t20_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => k1_toprns_1(A,B,k4_toprns_1(A,C,D)) = k4_toprns_1(A,k1_toprns_1(A,B,C),D) ) ) ) ) )).
fof(t20_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)),k1_tops_1(A,k4_subset_1(u1_struct_0(A),B,C))) ) ) ) )).
fof(t20_tops_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(B,A) & v1_finset_1(B) ) => v3_pre_topc(k6_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t20_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(C,A) => k2_pre_topc(A,C) = k2_pre_topc(A,k9_subset_1(u1_struct_0(A),C,B)) ) ) ) ) ) )).
fof(t20_tops_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(A))))) ) => ( v5_pre_topc(C,k15_euclid(B),k15_euclid(A)) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ! [E] : ( ( v1_xreal_0(E) & v2_xxreal_0(E) ) => ? [F] : ( v1_xreal_0(F) & v2_xxreal_0(F) & r1_tarski(k7_relset_1(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(A)),C,k1_topreal9(B,D,F)),k1_topreal9(A,k3_funct_2(u1_struct_0(k15_euclid(B)),u1_struct_0(k15_euclid(A)),C,D),E)) ) ) ) ) ) ) ) )).
fof(t20_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( ( ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ( ( r2_hidden(k4_tarski(k4_tarski(F,G),k4_tarski(D,E)),C) & r2_hidden(k4_tarski(k4_tarski(D,E),k4_tarski(H,I)),C) ) => ( D = E | r2_hidden(k4_tarski(k4_tarski(F,G),k4_tarski(H,I)),C) ) ) ) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => r2_hidden(k4_tarski(k4_tarski(D,D),k4_tarski(E,F)),C) ) ) ) & r3_relat_2(C,k2_zfmisc_1(A,A)) & r1_transgeo(A,B,C) ) => r2_transgeo(A,B,C) ) ) ) ) )).
fof(t20_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => v1_connsp_1(k4_topmetr(A,B)) ) ) ) )).
fof(t20_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( ( r2_tarski(B,A) & r1_tarski(C,B) ) => r2_tarski(C,A) ) ) ) ) )).
fof(t20_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => m1_trees_2(k1_tarski(k1_xboole_0),A) ) )).
fof(t20_trees_3,axiom,( ! [A] : ! [B] : ( ( v3_trees_3(A) & r1_tarski(B,A) ) => v3_trees_3(B) ) )).
fof(t20_trees_4,axiom,( ! [A] : ( k3_trees_4(A,k1_xboole_0) = k1_trees_4(A) & k4_trees_4(A,k1_xboole_0) = k1_trees_4(A) ) )).
fof(t20_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_trees_3(B) ) => ( r2_tarski(A,B) => r2_tarski(A,k9_trees_9(B)) ) ) ) )).
fof(t20_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v3_pre_topc(B,A) & ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) ) => B != u1_struct_0(C) ) ) ) ) )).
fof(t20_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_2(A,B,C) => ( r2_tsep_1(A,B,C) <=> r1_connsp_1(A,B,C) ) ) ) ) ) )).
fof(t20_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = u1_struct_0(B) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k9_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)) = k6_domain_1(u1_struct_0(B),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) => v3_borsuk_1(C,A,B) ) ) ) ) ) )).
fof(t20_turing_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(1,k3_finseq_1(A)) => ( k16_rvsum_1(k16_finseq_1(1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,B),A))) = B & k16_rvsum_1(k16_finseq_1(2,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,B),A))) = k1_nat_1(B,k7_partfun1(k4_ordinal1,A,1)) ) ) ) ) )).
fof(t20_twoscomp,axiom,( k1_funct_1(k12_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k12_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,1)) = 1 & k1_funct_1(k12_twoscomp,k11_finseq_1(k5_numbers,1,k5_numbers)) = k5_numbers & k1_funct_1(k12_twoscomp,k11_finseq_1(k5_numbers,1,1)) = k5_numbers & k1_funct_1(k12_twoscomp,k11_finseq_1(1,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k12_twoscomp,k11_finseq_1(1,k5_numbers,1)) = k5_numbers & k1_funct_1(k12_twoscomp,k11_finseq_1(1,1,k5_numbers)) = k5_numbers & k1_funct_1(k12_twoscomp,k11_finseq_1(1,1,1)) = k5_numbers )).
fof(t20_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k2_xboole_0(C,u1_struct_0(B)) => ( ( C = k1_xboole_0 & k6_unialg_2(A) = k1_xboole_0 ) | k8_unialg_2(A,k7_unialg_2(A,C),B) = k7_unialg_2(A,D) ) ) ) ) ) ) )).
fof(t20_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = u1_struct_0(A) => k8_unialg_2(A,k7_unialg_2(A,C),B) = k7_unialg_2(A,C) ) ) ) ) )).
fof(t20_uniroots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => r1_tarski(u1_struct_0(k1_uniroots(A)),u1_struct_0(A)) ) )).
fof(t20_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k11_polynom3(A,B,k9_polynom3(A)),k9_polynom3(A)) ) ) )).
fof(t20_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v10_pre_topc(A) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v3_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( B != k1_xboole_0 & r1_tarski(k2_pre_topc(A,B),C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( D != k1_xboole_0 & v3_pre_topc(D,A) & r1_tarski(k2_pre_topc(A,B),D) & r1_tarski(k2_pre_topc(A,D),C) ) ) ) ) ) ) ) )).
fof(t20_urysohn2,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,B) & C = k2_measure5(A) ) => k3_xcmplx_0(B,C) = k2_measure5(k1_integra2(A,B)) ) ) ) ) )).
fof(t20_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v10_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_xboole_0(B,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(D,A,k3_topmetr) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_xxreal_0(k5_numbers,k12_supinf_2(D,E)) & r1_xxreal_0(k12_supinf_2(D,E),1) & ( r2_tarski(E,B) => k12_supinf_2(D,E) = k5_numbers ) & ( r2_tarski(E,C) => k12_supinf_2(D,E) = 1 ) ) ) ) ) ) ) ) ) )).
fof(t20_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_valuat_1(F,A,B) => ( r1_valuat_1(A,B,k11_cqc_lang(A,C,E),F,D) <=> ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ( C != H => k3_funct_2(k3_qc_lang1(A),B,G,H) = k3_funct_2(k3_qc_lang1(A),B,D,H) ) ) => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,F,E),G) = k7_margrel1 ) ) ) ) ) ) ) ) ) )).
fof(t20_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ( m2_valued_0(B,A,C) & m2_valued_0(C,A,D) ) => m2_valued_0(B,A,D) ) ) ) ) ) )).
fof(t20_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( r1_tarski(A,B) => r1_tarski(k61_valued_1(A,C),k61_valued_1(B,C)) ) ) ) ) )).
fof(t20_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k18_valued_1(k50_valued_1(A,B),C) = k50_valued_1(k18_valued_1(A,C),B) ) ) ) )).
fof(t20_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [F] : ( m1_vectsp_4(F,A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))) => ( ( C = E & D = F ) => ( r1_struct_0(D,C) | ! [G] : ( m1_subset_1(G,u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))))) => ! [H] : ( m1_subset_1(H,u1_struct_0(D)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ( k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),G,F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(D),u1_struct_0(B),H,k3_vectsp_1(A,B,J,C)) => k4_vectsp_5(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k3_vectsp_1(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),I,G),F,k1_vectsp_7(A,k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C))),k6_domain_1(u1_struct_0(k1_vectsp_5(A,B,D,k1_vectsp_7(A,B,k6_domain_1(u1_struct_0(B),C)))),E))) = k1_domain_1(u1_struct_0(D),u1_struct_0(B),k3_vectsp_1(A,D,I,H),k3_vectsp_1(A,B,k8_group_1(A,I,J),C)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_vectsp11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( l1_struct_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => r2_funct_2(u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,D,k2_xcmplx_0(A,B)),k1_partfun1(u1_struct_0(C),u1_struct_0(C),u1_struct_0(C),u1_struct_0(C),k1_vectsp11(C,D,A),k1_vectsp11(C,D,B))) ) ) ) ) )).
fof(t20_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( B != k4_struct_0(A) => k3_vectsp_1(A,C,k9_algstr_0(A,B),k3_vectsp_1(A,C,B,D)) = D ) ) ) ) ) )).
fof(t20_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D != k4_struct_0(A) => ( k3_rlvect_1(A,k12_algstr_0(A,B,D),k12_algstr_0(A,C,D)) = k12_algstr_0(A,k3_rlvect_1(A,B,C),D) & k5_algstr_0(A,k12_algstr_0(A,B,D),k12_algstr_0(A,C,D)) = k12_algstr_0(A,k5_algstr_0(A,B,C),D) ) ) ) ) ) ) )).
fof(t20_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( ( r1_struct_0(E,C) & r1_struct_0(E,D) ) => r1_struct_0(E,k3_rlvect_1(B,C,D)) ) ) ) ) ) ) )).
fof(t20_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( k2_vectsp_5(A,B,k1_vectsp_4(A,B),C) = k1_vectsp_4(A,B) & k2_vectsp_5(A,B,C,k1_vectsp_4(A,B)) = k1_vectsp_4(A,B) ) ) ) ) )).
fof(t20_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_6(D,A,B) => ( k1_vectsp_6(A,B,D) = k6_domain_1(u1_struct_0(B),C) => k4_vectsp_6(A,B,D) = k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C) ) ) ) ) ) )).
fof(t20_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k1_vectsp_7(A,B,C) = B & ! [D] : ( ( v2_vectsp_7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ~ r1_tarski(D,C) ) ) ) ) ) )).
fof(t20_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_matrlin(B,A) => ! [C] : ( ( v2_vectsp_7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => v1_finset_1(C) ) ) ) ) )).
fof(t20_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k6_vfunct_1(A,B,C,k2_vfunct_1(A,B,D,E)),k2_vfunct_1(A,B,k6_vfunct_1(A,B,C,D),E)) ) ) ) ) ) )).
fof(t20_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k3_vfunct_2(A,B,C,k2_vfunct_1(A,B,D,E)),k2_vfunct_1(A,B,k3_vfunct_2(A,B,C,D),E)) ) ) ) ) ) )).
fof(t20_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( v7_ordinal1(G) => ( v1_funct_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G)) & v1_funct_2(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G),u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) ) ) ) ) ) ) ) )).
fof(t20_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k2_funct_1(k5_waybel10(A))) & v1_funct_2(k2_funct_1(k5_waybel10(A)),u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A))),u1_struct_0(k2_waybel10(A))) & m1_subset_1(k2_funct_1(k5_waybel10(A)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel10(k3_waybel10(A),k4_waybel10(A))),u1_struct_0(k2_waybel10(A))))) ) ) )).
fof(t20_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( v1_waybel_0(k2_relset_1(u1_struct_0(A),C),A) => v7_waybel_0(k3_waybel11(A,B,C)) ) ) ) ) )).
fof(t20_waybel12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_yellow_4(A,C,D) & v12_waybel_0(B,A) & r1_tarski(D,B) ) => r1_tarski(C,B) ) ) ) ) ) )).
fof(t20_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v23_waybel_0(C,A,B) => ( v17_waybel_0(C,A,B) & v18_waybel_0(C,A,B) ) ) ) ) ) )).
fof(t20_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ( v6_waybel_6(B,k1_yellow_1(u1_pre_topc(A))) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_yellow_1(u1_pre_topc(A)))) => ~ ( r1_tarski(B,k2_xboole_0(C,D)) & ~ r1_tarski(B,C) & ~ r1_tarski(B,D) ) ) ) ) ) ) )).
fof(t20_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_waybel15(B,A) <=> ( v6_waybel_6(B,A) & B != k3_yellow_0(A) ) ) ) ) )).
fof(t20_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_waybel16(B,A) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_orders_2(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_orders_2(A,B,D) => r3_orders_2(A,C,D) ) ) & k6_waybel_0(A,B) = k4_subset_1(u1_struct_0(A),k6_domain_1(u1_struct_0(A),B),k6_waybel_0(A,C)) ) ) ) ) )).
fof(t20_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(k6_waybel_9(A,B,C,D))) => ( ( F = E & v5_orders_3(C,A,B) ) => r3_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_yellow_0(A,a_3_0_waybel17(A,D,E))),k2_yellow_0(B,a_5_0_waybel17(A,B,C,D,F))) ) ) ) ) ) ) ) )).
fof(t20_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m3_yellow_9(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ( ( E = D & v3_pre_topc(D,A) ) => v3_pre_topc(E,C) ) ) ) ) ) ) )).
fof(t20_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v21_waybel_0(B,A,A) => v21_waybel_0(k2_waybel_1(A,A,B),A,k1_yellow_2(A,A,B)) ) ) ) )).
fof(t20_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_yellow_0(C,A) & m1_yellow_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_yellow_0(D,B) & m1_yellow_0(D,B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & u1_struct_0(C) = u1_struct_0(D) & v7_yellow_0(C,A) ) => v7_yellow_0(D,B) ) ) ) ) ) )).
fof(t20_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel23(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r1_yellow_0(A,C) => r2_tarski(k1_yellow_0(A,C),B) ) ) ) ) ) )).
fof(t20_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & l1_waybel_9(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_waybel24(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_waybel24(A,B))) => ( r1_orders_2(k3_waybel24(A,B),C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_hidden(k4_tarski(k1_funct_1(C,E),k1_funct_1(D,E)),u1_orders_2(B)) ) ) ) ) ) ) )).
fof(t20_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & v2_waybel18(A) & l1_pre_topc(A) ) => ( v3_orders_2(k1_waybel25(A)) & v4_orders_2(k1_waybel25(A)) & v5_orders_2(k1_waybel25(A)) & v1_lattice3(k1_waybel25(A)) & v2_lattice3(k1_waybel25(A)) & v3_lattice3(k1_waybel25(A)) & v3_waybel_3(k1_waybel25(A)) & l1_orders_2(k1_waybel25(A)) ) ) )).
fof(t20_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( v3_tops_2(D,B,C) => v23_waybel_0(k3_waybel26(A,B,C,D),k1_waybel26(A,B),k1_waybel26(A,C)) ) ) ) ) ) )).
fof(t20_waybel27,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_yellow_0(D,k5_yellow_1(A,k5_yellow_1(B,C))) & m1_yellow_0(D,k5_yellow_1(A,k5_yellow_1(B,C))) ) => ! [E] : ( ( ~ v2_struct_0(E) & v4_yellow_0(E,k5_yellow_1(k2_zfmisc_1(A,B),C)) & m1_yellow_0(E,k5_yellow_1(k2_zfmisc_1(A,B),C)) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(E)))) ) => ( v1_waybel27(F) => v5_orders_3(F,D,E) ) ) ) ) ) ) ) )).
fof(t20_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),k3_waybel28(A)) => r2_tarski(B,k5_yellow_6(A)) ) ) )).
fof(t20_waybel29,axiom,( k1_waybel25(k9_waybel18) = k1_waybel29(k2_yellow_1(k1_tarski(k5_numbers))) )).
fof(t20_waybel30,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,k3_yellow_3(A,B)) ) => ! [D] : ( ( v2_pre_topc(D) & v2_waybel19(D) & m1_yellow_9(D,A) ) => ! [E] : ( ( v2_pre_topc(E) & v2_waybel19(E) & m1_yellow_9(E,B) ) => ( v3_waybel_3(k1_yellow_1(k5_waybel11(B))) => g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k2_borsuk_1(D,E) ) ) ) ) ) ) )).
fof(t20_waybel31,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & l1_waybel_9(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_pre_topc(k3_subset_1(u1_struct_0(A),k4_waybel_0(A,B)),A) & v3_pre_topc(k3_subset_1(u1_struct_0(A),k3_waybel_0(A,B)),A) ) ) ) )).
fof(t20_waybel32,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v16_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(C,B) <=> ( C = u1_struct_0(B) | r2_tarski(C,a_2_1_waybel32(A,B)) ) ) ) ) ) )).
fof(t20_waybel33,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v2_cantor_1(C,A) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( r1_tarski(C,u1_pre_topc(B)) & r2_tarski(u1_struct_0(A),u1_pre_topc(B)) ) => r1_tarski(u1_pre_topc(A),u1_pre_topc(B)) ) ) ) ) )).
fof(t20_waybel34,axiom,( ! [A] : ( ~ v2_setfam_1(A) => r2_functor0(k4_waybel34(A),k5_waybel34(A)) ) )).
fof(t20_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel35(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_waybel35(C,A,B) ) => ( ( v4_waybel35(C,A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => r1_yellow_0(A,k4_waybel35(A,B,C,D)) ) ) & r1_waybel35(A,C,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => D = k1_yellow_0(A,k4_waybel35(A,B,C,D)) ) ) ) ) ) ) )).
fof(t20_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_waybel_0(A,B) = k6_waybel_0(A,C) => B = C ) ) ) ) )).
fof(t20_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( v5_orders_3(C,A,B) & v5_orders_3(D,B,A) & r1_yellow_2(u1_struct_0(A),A,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D),k3_struct_0(A)) & r1_yellow_2(u1_struct_0(B),B,k3_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C)) ) => ( r2_funct_2(u1_struct_0(B),u1_struct_0(A),D,k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(A),C,D))) & r2_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),C,k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C))) ) ) ) ) ) ) )).
fof(t20_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ! [D] : ( ( ~ v2_struct_0(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => ( ( r1_funct_2(B,u1_struct_0(A),B,B,C,k6_partfun1(B)) & D = g1_waybel_0(A,B,k1_toler_1(u1_orders_2(A),B),C) ) => v10_waybel_0(D,A) ) ) ) ) ) )).
fof(t20_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_waybel_3(A,B,C) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & v12_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_orders_2(A,C,k1_yellow_0(A,D)) => r2_tarski(B,D) ) ) ) ) ) ) )).
fof(t20_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => r1_yellow_2(u1_struct_0(A),k1_yellow_1(k7_waybel_0(A)),k7_waybel_4(A,B),k3_yellow_2(A)) ) ) )).
fof(t20_waybel_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ( k1_relset_1(A,k6_waybel_5(A,B,C,F)) = A & k1_relset_1(k1_funct_1(k7_funcop_1(A,B),D),k1_waybel_5(A,C,k7_funcop_1(A,B),k6_waybel_5(A,B,C,F),D)) = B & k2_binop_1(A,B,C,F,D,E) = k1_funct_1(k1_waybel_5(A,C,k7_funcop_1(A,B),k6_waybel_5(A,B,C,F),D),E) ) ) ) ) ) ) ) )).
fof(t20_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => v5_waybel_6(k4_yellow_0(A),A) ) )).
fof(t20_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v11_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v2_waybel_7(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) | r2_tarski(k7_waybel_1(A,C),B) ) ) ) ) ) )).
fof(t20_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ( v3_waybel_8(A) <=> v5_waybel_7(k1_waybel_4(A),A) ) ) )).
fof(t20_waybel_9,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & C = D & v2_tops_2(C,A) ) => v2_tops_2(D,B) ) ) ) ) ) )).
fof(t20_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ~ r1_xxreal_0(k4_card_1(u1_struct_0(k4_weddwitt(A))),1) ) )).
fof(t20_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( v2_compts_1(B,k3_pcomps_1(A)) => ( B = k1_xboole_0 | ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,C),B)),k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,D),B)))),k3_metric_1(A,C,D)) ) ) ) ) ) ) )).
fof(t20_wellord1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => k2_wellord1(k2_wellord1(C,A),B) = k2_wellord1(k2_wellord1(C,B),A) ) )).
fof(t20_wellord2,axiom,( ! [A] : r8_relat_2(k1_wellord2(A),A) )).
fof(t20_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( r2_tarski(A,k4_finseq_1(B)) => k2_xcmplx_0(k18_rvsum_1(k3_wsierp_1(k1_numbers,A,B)),k1_funct_1(B,A)) = k18_rvsum_1(B) ) ) ) )).
fof(t20_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(A,B) & r1_tarski(A,C) & ! [D] : ( ( r1_tarski(D,B) & r1_tarski(D,C) ) => r1_tarski(D,A) ) ) => A = k3_xboole_0(B,C) ) )).
fof(t20_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(A,k7_xboolean(A,B)) = k4_xboolean(A,B) ) ) )).
fof(t20_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( k6_xcmplx_0(C,A) = k6_xcmplx_0(C,B) => A = B ) ) ) ) )).
fof(t20_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,k2_xcmplx_0(B,C)) <=> r1_xxreal_0(k6_xcmplx_0(A,B),C) ) ) ) ) )).
fof(t20_xtuple_0,axiom,( ! [A] : ! [B] : ~ ( r2_hidden(A,k14_xtuple_0(B)) & ! [C] : ! [D] : ! [E] : ~ r2_hidden(k6_xtuple_0(C,A,D,E),B) ) )).
fof(t20_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(A,C) ) => r1_xxreal_0(A,k3_xxreal_0(B,C)) ) ) ) ) )).
fof(t20_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k4_xxreal_1(A,A) = k1_xboole_0 ) )).
fof(t20_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m2_xxreal_2(A,k4_xxreal_1(A,B)) ) ) )).
fof(t20_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( ~ ( A = k1_xxreal_0 & B = k2_xxreal_0 ) & ~ ( A = k2_xxreal_0 & B = k1_xxreal_0 ) & r2_hidden(k1_xxreal_3(A,B),k1_numbers) & ~ ( r2_hidden(A,k1_numbers) & r2_hidden(B,k1_numbers) ) ) ) ) )).
fof(t20_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( r1_waybel_3(k3_yellow_3(A,B),C,D) => ( r1_waybel_3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D)) & r1_waybel_3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) ) )).
fof(t20_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & C = D & v2_waybel11(C,A) ) => v2_waybel11(D,B) ) ) ) ) ) )).
fof(t20_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_yellow13(a_2_0_yellow13(A,B),A,B) & m1_yellow13(a_2_0_yellow13(A,B),A,B) ) ) ) )).
fof(t20_yellow14,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = k1_tarski(B) & r1_tarski(k2_pre_topc(A,D),k2_pre_topc(A,E)) ) => r2_tarski(B,k2_pre_topc(A,E)) ) ) ) ) ) ) )).
fof(t20_yellow15,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( v1_yellow15(C,A) & r1_tarski(B,C) ) => v1_yellow15(B,A) ) ) ) )).
fof(t20_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r3_yellow16(B,A) => v24_waybel_0(B) ) ) ) )).
fof(t20_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B))) => ( ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) ) => ~ r1_tarski(k2_struct_0(k3_waybel18(A,B)),k3_tarski(E)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C))) => ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) ) => ~ ( r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(E)),k3_tarski(F)) & ! [G] : ~ ( r2_tarski(G,k2_waybel18(A,B)) & r2_tarski(G,F) & r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(E)),G) ) ) ) ) ) ) ) ) ) )).
fof(t20_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = C & F = D & ? [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(B,F,E)) & H = G & ~ ( v1_altcat_3(G,A,C,D) <=> v2_altcat_3(H,B,F,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ! [C] : ! [D] : ( ( r1_tarski(B,C) & r2_waybel_7(A,B,D) ) => r2_waybel_7(A,C,D) ) ) )).
fof(t20_yellow20,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( r1_yellow20(A,B) => m1_altcat_2(k2_yellow20(A,B),A) ) ) ) )).
fof(t20_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ( v1_lattice3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_yellow_0(A,k2_tarski(B,C)) ) ) ) ) )).
fof(t20_yellow_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) => k2_yellow_0(k2_yellow_1(A),B) = k1_setfam_1(B) ) )).
fof(t20_yellow_2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l1_struct_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ( ( v11_quantal1(C) & r1_tarski(A,k2_relset_1(u1_struct_0(B),C)) ) => k7_relset_1(u1_struct_0(B),u1_struct_0(B),C,A) = A ) ) ) )).
fof(t20_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( v1_waybel_0(k6_yellow_3(A,B,C,D),k3_yellow_3(A,B)) => ( v1_waybel_0(C,A) & v1_waybel_0(D,B) ) ) ) ) ) ) )).
fof(t20_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_yellow_4(A,k6_domain_1(u1_struct_0(A),B),k7_domain_1(u1_struct_0(A),C,D)) = k7_domain_1(u1_struct_0(A),k10_lattice3(A,B,C),k10_lattice3(A,B,D)) ) ) ) ) )).
fof(t20_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_orders_2(A,B,C) & r3_orders_2(A,B,D) & k12_lattice3(A,C,D) = k3_yellow_0(A) ) => B = k3_yellow_0(A) ) ) ) ) ) )).
fof(t20_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => r1_waybel_0(A,B,u1_struct_0(A)) ) ) )).
fof(t20_yellow_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lattice3(A))) => ( B = C => ( k5_waybel_0(A,B) = k6_waybel_0(k7_lattice3(A),C) & k6_waybel_0(A,B) = k5_waybel_0(k7_lattice3(A),C) ) ) ) ) ) )).
fof(t20_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v4_pre_topc(C,A) ) => v4_pre_topc(k2_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,B),A) ) ) ) ) )).
fof(t20_yellow_9,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(B))) => ( ( C = D & r2_tarski(A,C) ) => k2_cantor_1(B,D) = k2_xboole_0(k1_tarski(B),k2_cantor_1(A,C)) ) ) ) )).
fof(t20_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ~ v1_xboole_0(C) => ( ( v8_zf_fund1(B,A) & r2_tarski(C,B) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_zf_lang(E) & m2_finseq_1(E,k4_ordinal1) ) => ( ( r2_tarski(k5_zf_fund1(D,C),B) & r2_tarski(k5_zf_fund1(E,C),B) ) => r2_tarski(k5_zf_fund1(k6_zf_lang(D,E),C),B) ) ) ) ) ) ) ) )).
fof(t20_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v4_zf_lang(A) => k1_funct_1(A,1) = 2 ) ) )).
fof(t20_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ( k16_zf_lang(C,D,E,A) = k14_zf_lang(G,F,B) => ( C = G & D = F & k12_zf_lang(E,A) = B ) ) ) ) ) ) ) ) ) )).
fof(t20_zf_model,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zf_lang,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( r1_zf_model(A,B,k12_zf_lang(D,C)) <=> ? [E] : ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) & ! [F] : ( m2_subset_1(F,k4_ordinal1,k1_zf_lang) => ( k3_funct_2(k1_zf_lang,A,E,F) != k3_funct_2(k1_zf_lang,A,B,F) => D = F ) ) & r1_zf_model(A,E,C) ) ) ) ) ) ) )).
fof(t20_zf_refle,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v5_relat_1(B,A) & v5_ordinal1(B) & v1_funct_1(B) & v1_zf_refle(B,A) ) => ( ( r2_tarski(k4_ordinal1,A) & ! [C] : ( ( v3_ordinal1(C) & m1_subset_1(C,A) ) => ! [D] : ( ( v3_ordinal1(D) & m1_subset_1(D,A) ) => ( r2_tarski(C,D) => r1_tarski(k5_zf_refle(A,B,C),k5_zf_refle(A,B,D)) ) ) ) & ! [C] : ( ( v3_ordinal1(C) & m1_subset_1(C,A) ) => ( v4_ordinal1(C) => ( C = k1_xboole_0 | k5_zf_refle(A,B,C) = k3_card_3(k5_relat_1(B,C)) ) ) ) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k2_ordinal1(A),k2_ordinal1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A),k2_ordinal1(A)))) & v2_ordinal2(D) & v3_ordinal2(D) & ! [E] : ( ( v3_ordinal1(E) & m1_subset_1(E,A) ) => ( k4_ordinal4(A,D,E) = E => ( k1_xboole_0 = E | ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,k5_zf_refle(A,B,E)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,k5_zf_refle(A,B,E)))) ) => ( r1_zf_model(k4_zf_refle(A,B),k1_zf_lang1(k1_zf_lang,k5_zf_refle(A,B,E),k4_zf_refle(A,B),F),C) <=> r1_zf_model(k5_zf_refle(A,B,E),F,C) ) ) ) ) ) ) ) ) ) ) )).
fof(t20_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(k2_tarski(A,B),k1_tarski(C)) => A = C ) )).
fof(t20_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r1_zfmodel1(C,A) & r1_zfmodel1(D,A) & r1_tarski(k2_zf_model(B),k1_tarski(k2_zf_lang(3))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( k9_xtuple_0(E) = A & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( r1_zf_model(A,F,B) => k1_funct_1(E,k3_funct_2(k1_zf_lang,A,F,k2_zf_lang(3))) = k1_funct_1(C,k3_funct_2(k1_zf_lang,A,F,k2_zf_lang(3))) ) & ( r1_zf_model(A,F,k5_zf_lang(B)) => k1_funct_1(E,k3_funct_2(k1_zf_lang,A,F,k2_zf_lang(3))) = k1_funct_1(D,k3_funct_2(k1_zf_lang,A,F,k2_zf_lang(3))) ) ) ) ) => r1_zfmodel1(E,A) ) ) ) ) ) ) ) )).
fof(t20_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_ordinal2(A,B) => r1_ordinal1(B,A) ) ) ) )).
fof(t20_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v7_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k5_algstr_0(A,C,D),B) ) ) ) ) ) ) )).
fof(t20_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m2_zmodul02(B,A,k1_subset_1(u1_struct_0(A))) => k21_zmodul02(A,B) = k4_struct_0(A) ) ) )).
fof(t20_zmodul03,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => k33_zmodul02(A,C) = k33_zmodul02(B,D) ) ) ) ) ) )).
fof(t20_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & v1_zmodul03(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( m1_zmodul03(B,A) & v1_finset_1(B) & v1_zmodul02(C,A) ) => r1_ordinal1(k1_card_1(C),k1_card_1(B)) ) ) ) ) )).
fof(t20_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_struct_0(k3_zmodul05(A,B,C),D) <=> k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k4_struct_0(B) ) ) ) ) ) )).
fof(t20_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_struct_0(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B)),B) ) ) )).
fof(t210_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r2_hidden(k6_xxreal_3(B,C),k24_member_1(A,B)) ) ) ) ) )).
fof(t210_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_xcmplx_0(A,B) = 1 => A = k5_xcmplx_0(B) ) ) ) )).
fof(t210_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,1) => r1_xxreal_0(k7_xcmplx_0(A,C),B) ) ) => r1_xxreal_0(A,B) ) ) ) )).
fof(t210_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k4_xxreal_1(A,k2_xxreal_0) = k1_xboole_0 ) )).
fof(t211_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k24_member_1(A,B) = a_2_16_member_1(A,B) ) ) )).
fof(t211_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( A != k5_numbers & B != k5_numbers & k2_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) != k3_xcmplx_0(k2_xcmplx_0(A,B),k5_xcmplx_0(k3_xcmplx_0(A,B))) ) ) ) )).
fof(t211_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(1,A) => r1_xxreal_0(k5_xcmplx_0(A),1) ) ) )).
fof(t211_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k2_xxreal_1(A,k2_xxreal_0) = k1_xboole_0 ) )).
fof(t212_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ~ ( r2_tarski(C,k24_member_1(A,B)) & ! [D] : ( m1_subset_1(D,k6_numbers) => ~ ( C = k6_xxreal_3(B,D) & r2_tarski(D,A) ) ) ) ) ) )).
fof(t212_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( A != k5_numbers & B != k5_numbers & k6_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) != k3_xcmplx_0(k6_xcmplx_0(B,A),k5_xcmplx_0(k3_xcmplx_0(A,B))) ) ) ) )).
fof(t212_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,1) & r1_xxreal_0(1,k5_xcmplx_0(A)) ) ) )).
fof(t212_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k3_xxreal_1(A,k2_xxreal_0) = k1_xboole_0 ) )).
fof(t213_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) => r2_tarski(k7_xcmplx_0(B,C),k25_member_1(A,B)) ) ) ) ) )).
fof(t213_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k5_xcmplx_0(k7_xcmplx_0(A,B)) = k7_xcmplx_0(B,A) ) ) )).
fof(t213_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) => r1_xxreal_0(k4_xcmplx_0(1),k5_xcmplx_0(A)) ) ) )).
fof(t213_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( A != k2_xxreal_0 => k1_xxreal_1(A,k2_xxreal_0) = k1_xboole_0 ) ) )).
fof(t214_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k25_member_1(A,B) = a_2_17_member_1(A,B) ) ) )).
fof(t214_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(k5_xcmplx_0(A),k5_xcmplx_0(B)) = k7_xcmplx_0(B,A) ) ) )).
fof(t214_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(k4_xcmplx_0(1),A) & r1_xxreal_0(k5_xcmplx_0(A),k4_xcmplx_0(1)) ) ) )).
fof(t214_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k4_xxreal_1(k1_xxreal_0,A) = k1_xboole_0 ) )).
fof(t215_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ~ ( r2_tarski(C,k25_member_1(A,B)) & ! [D] : ( v1_xcmplx_0(D) => ~ ( C = k7_xcmplx_0(B,D) & r2_hidden(D,A) ) ) ) ) ) )).
fof(t215_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_xcmplx_0(1,A) = k5_xcmplx_0(A) ) )).
fof(t215_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k7_xcmplx_0(A,2),k5_numbers) ) ) )).
fof(t215_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k2_xxreal_1(k1_xxreal_0,A) = k1_xboole_0 ) )).
fof(t216_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( r1_tarski(k25_member_1(A,C),k25_member_1(B,C)) => ( C = k5_numbers | r1_tarski(A,B) ) ) ) ) ) )).
fof(t216_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k7_xcmplx_0(1,k5_xcmplx_0(A)) = A ) )).
fof(t216_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,k7_xcmplx_0(A,2)) ) ) )).
fof(t216_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k3_xxreal_1(k1_xxreal_0,A) = k1_xboole_0 ) )).
fof(t217_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( k25_member_1(A,C) = k25_member_1(B,C) => ( C = k5_numbers | A = B ) ) ) ) ) )).
fof(t217_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_xcmplx_0(k7_xcmplx_0(1,A)) = A ) )).
fof(t217_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,k7_xcmplx_0(1,2)) => r1_xxreal_0(k6_xcmplx_0(k3_xcmplx_0(2,A),1),k5_numbers) ) ) )).
fof(t217_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ( A != k1_xxreal_0 => k1_xxreal_1(k1_xxreal_0,A) = k1_xboole_0 ) ) )).
fof(t218_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k25_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k25_member_1(A,C),k25_member_1(B,C)) ) ) ) ) )).
fof(t218_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k7_xcmplx_0(1,A) = k5_xcmplx_0(B) => A = B ) ) ) )).
fof(t218_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,k7_xcmplx_0(1,2)) => r1_xxreal_0(k5_numbers,k6_xcmplx_0(1,k3_xcmplx_0(2,A))) ) ) )).
fof(t218_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ~ r1_xxreal_0(A,B) => r2_hidden(A,k3_xxreal_1(B,k1_xxreal_0)) ) ) ) )).
fof(t219_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k25_member_1(k6_subset_1(A,B),C) = k6_subset_1(k25_member_1(A,C),k25_member_1(B,C)) ) ) ) ) )).
fof(t219_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(A,k5_xcmplx_0(B)) = k3_xcmplx_0(A,B) ) ) )).
fof(t219_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k7_xcmplx_0(1,2),A) => r1_xxreal_0(k5_numbers,k6_xcmplx_0(k3_xcmplx_0(2,A),1)) ) ) )).
fof(t219_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(B,A) => r2_hidden(A,k1_xxreal_1(B,k1_xxreal_0)) ) ) ) )).
fof(t21_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ( r1_abcmiz_0(A,B,C) => r2_tarski(C,k2_abcmiz_0(A,k5_abcmiz_0(A,B,C))) ) ) ) ) )).
fof(t21_abcmiz_1,axiom,( ! [A] : k6_classes1(k1_abcmiz_1(A)) = k6_classes1(A) )).
fof(t21_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_abcmiz_1(B,A,k14_abcmiz_1(A)) => ( v5_abcmiz_1(B,A,k28_abcmiz_1(A)) <=> ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B,k1_xboole_0))) = k8_abcmiz_1 ) ) ) ) )).
fof(t21_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_absred_0(A,B,C) & r2_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t21_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ( A != k5_numbers => k3_xcmplx_0(k1_absvalue(A),k1_absvalue(k7_xcmplx_0(1,A))) = 1 ) ) )).
fof(t21_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( m2_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k5_aescip_1(A),k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k4_aescip_1(A),B)) = B ) ) )).
fof(t21_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_aff_1(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & v1_aff_1(E,A) & r2_tarski(B,E) & r2_tarski(C,E) & r2_tarski(D,E) ) ) ) ) ) ) )).
fof(t21_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_1(B,A) & v1_aff_1(C,A) & v1_aff_1(D,A) & r1_tarski(D,k1_aff_4(A,B,C)) & ~ r5_aff_1(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,C) & r2_tarski(E,D) ) ) ) ) ) ) ) )).
fof(t21_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) ) => r1_ordinal1(k9_xtuple_0(A),k9_xtuple_0(k1_ordinal4(A,B))) ) ) )).
fof(t21_afinsq_2,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => ! [B] : ( ( v1_finset_1(B) & v6_membered(B) ) => ( r1_tarski(A,B) => ( A = k1_xboole_0 | r1_xxreal_0(k1_recdef_1(k4_afinsq_2(B),k5_numbers),k1_recdef_1(k4_afinsq_2(A),k5_numbers)) ) ) ) ) )).
fof(t21_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k14_afproj(A))) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k5_afproj(A,C) & v1_aff_1(C,A) ) ) ) )).
fof(t21_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_afvect0(A,B,C,D) ) ) ) ) )).
fof(t21_alg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( r3_alg_1(A,B,C) => r5_alg_1(k4_alg_1(A,k6_alg_1(A,B,C)),B) ) ) ) ) )).
fof(t21_algspec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(k10_xtuple_0(C),A) => k3_relat_1(C,k1_algspec1(A,B)) = k3_relat_1(C,k1_funct_4(k6_partfun1(A),B)) ) ) ) ) )).
fof(t21_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(2,C) & r2_tarski(B,k11_algstr_4(A,C)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( k2_xfamily(B) = D & r1_xxreal_0(1,D) & r1_xxreal_0(D,k6_xcmplx_0(C,1)) & r2_tarski(k1_xfamily(k1_xfamily(B)),k11_algstr_4(A,D)) & r2_tarski(k2_xfamily(k1_xfamily(B)),k11_algstr_4(A,E)) & C = k2_xcmplx_0(D,E) & r2_tarski(B,k2_zfmisc_1(k2_zfmisc_1(k11_algstr_4(A,D),k11_algstr_4(A,E)),k1_tarski(D))) ) ) ) ) ) )).
fof(t21_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,E) != k1_xboole_0 & ~ ! [F] : ( m1_subset_1(F,k1_altcat_1(A,B,C)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) => ! [H] : ( m1_subset_1(H,k1_altcat_1(A,D,E)) => k5_altcat_1(A,B,D,E,k5_altcat_1(A,B,C,D,F,G),H) = k5_altcat_1(A,B,C,E,F,k5_altcat_1(A,C,D,E,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(t21_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ! [C] : ( l2_altcat_1(C) => ( ( m1_altcat_2(A,B) & m1_altcat_2(B,C) ) => m1_altcat_2(A,C) ) ) ) ) )).
fof(t21_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ( ( v2_altcat_3(D,A,B,C) & v5_altcat_3(D,A,B,C) ) => ( k1_altcat_1(A,B,C) = k1_xboole_0 | k1_altcat_1(A,C,B) = k1_xboole_0 | v3_altcat_3(D,A,B,C) ) ) ) ) ) ) )).
fof(t21_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_altcat_3(A,D,E) => r2_altcat_3(B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) ) ) ) ) ) ) )).
fof(t21_ami_3,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v2_extpro_1(k7_ami_3(A),k5_card_1(2),k1_ami_3) ) )).
fof(t21_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_ami_3)) ) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k6_ami_3(H,I) & r2_tarski(H,k9_xtuple_0(B)) ) => ( H = I | k4_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),I)) = k4_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => k3_amistd_1(k5_card_1(2),k1_ami_3,A) = k2_tarski(A,k2_xcmplx_0(A,1)) ) )).
fof(t21_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,u1_compos_1(B)) => ( v3_ami_wstd(D,A,B) => k1_amistd_1(A,B,C,D) = k6_domain_1(k4_ordinal1,k5_ami_wstd(A,B,C)) ) ) ) ) ) )).
fof(t21_amistd_1,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( v5_amistd_1(C,A,B) <=> ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r2_tarski(k5_memstr_0(A,B,D),k1_relset_1(k4_ordinal1,C)) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(B)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ( r1_tarski(C,E) => ! [F] : ( v7_ordinal1(F) => r2_tarski(k5_memstr_0(A,B,k5_extpro_1(A,B,E,D,F)),k1_relset_1(k4_ordinal1,C)) ) ) ) ) ) ) ) ) ) )).
fof(t21_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_analmetr(A,F,G))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_analmetr(A,F,G))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k2_analmetr(A,F,G))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k2_analmetr(A,F,G))) => ( ( H = B & I = C & J = D & K = E ) => ( r4_analmetr(k2_analmetr(A,F,G),H,J,I,K) <=> r3_analmetr(A,B,D,C,E,F,G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)) = D ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r1_analoaf(A,B,C,D,E) & ~ r1_analoaf(A,B,C,E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( ( r1_analoaf(A,B,C,B,F) | r1_analoaf(A,B,C,F,B) ) & ( r1_analoaf(A,D,E,D,F) | r1_analoaf(A,D,E,F,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r2_analort(A,E,F,B,B,C,D) ) ) ) ) ) ) )).
fof(t21_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v9_struct_0(B,A) => m1_subset_1(k2_anproj_1(A,B),k3_anproj_1(A)) ) ) ) )).
fof(t21_anproj_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ~ ( A = k9_domain_1(A,B,C,D,E) & B != C & B != D & B != E & C != D & C != E & D != E & ! [F] : ( m2_funct_2(F,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [G] : ( m2_funct_2(G,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [H] : ( m2_funct_2(H,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ! [I] : ( m2_funct_2(I,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ~ ( ! [J] : ( v1_xreal_0(J) => ! [K] : ( v1_xreal_0(K) => ! [L] : ( v1_xreal_0(L) => ! [M] : ( v1_xreal_0(M) => ( k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(J,F)),k1_funct_1(k7_funcsdom(A),k4_tarski(K,G))),k1_funct_1(k7_funcsdom(A),k4_tarski(L,H))),k1_funct_1(k7_funcsdom(A),k4_tarski(M,I))) = k8_funcsdom(A) => ( J = k5_numbers & K = k5_numbers & L = k5_numbers & M = k5_numbers ) ) ) ) ) ) & ! [J] : ( m2_funct_2(J,A,k1_numbers,k9_funct_2(A,k1_numbers)) => ? [K] : ( v1_xreal_0(K) & ? [L] : ( v1_xreal_0(L) & ? [M] : ( v1_xreal_0(M) & ? [N] : ( v1_xreal_0(N) & J = k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_binop_1(k5_funcsdom(A),k1_funct_1(k7_funcsdom(A),k4_tarski(K,F)),k1_funct_1(k7_funcsdom(A),k4_tarski(L,G))),k1_funct_1(k7_funcsdom(A),k4_tarski(M,H))),k1_funct_1(k7_funcsdom(A),k4_tarski(N,I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => r1_tarski(k9_aofa_000(A,B,C),k9_aofa_000(A,B,D)) ) ) ) ) ) )).
fof(t21_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : k10_xtuple_0(k4_aofa_a00(A,B,C,D,E,F)) = k4_enumset1(A,B,C,D,E,F) )).
fof(t21_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ( k1_msualg_1(A,B) = k1_xboole_0 => ! [C] : ( l3_msualg_1(C,A) => k3_msualg_1(A,B,C) = k1_tarski(k1_xboole_0) ) ) ) ) )).
fof(t21_aofa_i00,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v4_card_3(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k9_funct_2(A,k4_numbers))) => ! [C] : ( ( v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,k1_card_1(A)) & v2_funct_2(C,k1_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_card_1(A)))) ) => ! [D] : ( m6_aofa_i00(D,A,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k9_funct_2(A,k4_numbers),k4_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(A,k4_numbers),k4_numbers))) ) => m3_aofa_i00(E,k7_freealg(k19_aofa_000,k26_aofa_i00),A,B,D) ) ) ) ) ) )).
fof(t21_aofa_l00,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v2_funct_1(C) ) => ( r1_xboole_0(A,B) => r1_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) ) ) )).
fof(t21_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( v7_armstrng(B,A) & v8_relat_2(B) ) => ( v3_armstrng(B,A) & v4_armstrng(B,A) ) ) ) )).
fof(t21_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ~ ( k2_arytm_0(A,B) = k5_numbers & A != k5_numbers & B != k5_numbers ) ) ) )).
fof(t21_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ~ r1_arytm_2(C,B) => k2_arytm_1(A,k1_arytm_1(C,B)) = k2_arytm_1(k7_arytm_2(A,B),C) ) ) ) ) )).
fof(t21_arytm_2,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ~ ( r2_tarski(A,k5_arytm_3) & r2_tarski(B,k5_arytm_3) & ! [C] : ( m1_subset_1(C,k5_arytm_3) => ! [D] : ( m1_subset_1(D,k5_arytm_3) => ~ ( A = C & B = D & k8_arytm_2(A,B) = k10_arytm_3(C,D) ) ) ) ) ) ) )).
fof(t21_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => k9_ordinal3(k4_arytm_3(A,B),k3_arytm_3(A,B)) = A ) ) )).
fof(t21_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v2_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v2_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v2_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( r2_tarski(A,k7_asympt_0(B)) & r2_tarski(B,k7_asympt_0(C)) ) => r2_tarski(A,k7_asympt_0(C)) ) ) ) ) )).
fof(t21_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,k5_numbers) => k8_nat_1(k1_numbers,B,C) = k3_xcmplx_0(C,k3_power(2,C)) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v4_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r2_funct_2(k4_ordinal1,k1_numbers,C,B) & r1_tarski(k6_asympt_0(C),k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1,A)))) & k6_asympt_0(C) != k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1,A))) ) ) ) ) ) )).
fof(t21_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => r2_tarski(k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)),k4_autalg_1(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B))) ) ) )).
fof(t21_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k6_algstr_0(A,B,C)),k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,C))) ) ) ) )).
fof(t21_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_valued_0(B) & v2_pre_poly(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( r3_pre_poly(A,C,B) => r1_tarski(k22_pre_poly(A,C),k22_pre_poly(A,B)) ) ) ) ) )).
fof(t21_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( C != D => k4_card_1(k2_ballot_1(C,A,D,B)) = k4_card_1(k2_ballot_1(k5_numbers,A,1,B)) ) ) ) )).
fof(t21_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k4_bcialg_1(A)) => r1_bcialg_1(A,k1_bcialg_1(A,B,C),B) ) ) ) )).
fof(t21_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v7_ordinal1(E) => r1_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_2(A,B,D,E),k1_bcialg_2(A,C,D,E)),k1_bcialg_1(A,B,C)) ) ) ) ) ) )).
fof(t21_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ( v4_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_bcialg_1(A,B,C) & r1_bcialg_1(A,B,D) ) => r1_bcialg_1(A,B,k1_bcialg_1(A,C,k1_bcialg_1(A,C,D))) ) ) ) ) ) ) )).
fof(t21_bcialg_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v3_bcialg_1(B) & v4_bcialg_1(B) & v5_bcialg_1(B) & v7_bcialg_1(B) & v2_bcialg_4(B) & l1_bcialg_4(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k6_bcialg_4(B,C,k1_nat_1(A,1)) = k1_bcialg_4(B,k6_bcialg_4(B,C,A),C) ) ) ) )).
fof(t21_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v8_bcialg_1(E) & m1_bcialg_5(E,A,B,C,D) ) => ( v8_bcialg_1(E) & m1_bcialg_5(E,A,B,B,D) ) ) ) ) ) ) )).
fof(t21_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k2_bcialg_1(A,k2_bcialg_6(A,B,C)) = k2_bcialg_1(A,k2_bcialg_6(A,k2_bcialg_1(A,k2_bcialg_1(A,B)),C)) ) ) ) )).
fof(t21_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( m2_bciideal(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r1_bcialg_1(A,C,D) ) => r2_tarski(D,B) ) ) ) ) ) ) )).
fof(t21_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bhsp_1(A,B,C) => r1_bhsp_1(A,k4_algstr_0(A,B),C) ) ) ) ) )).
fof(t21_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(C,A) & k1_bhsp_2(A,C) = B ) => ( v2_comseq_2(k2_bhsp_2(A,C)) & k1_seq_2(k2_bhsp_2(A,C)) = k3_bhsp_1(A,B) ) ) ) ) ) )).
fof(t21_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k4_bhsp_4(A,B,1,k5_numbers) = k3_funct_2(k4_ordinal1,u1_struct_0(A),B,1) ) ) )).
fof(t21_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k2_binop_1(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),k9_bilinear(A,B,C,k7_hahnban1(A,B),D),E,F) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(t21_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,A) => r1_xxreal_0(k1_binari_4(C,B),k1_binari_4(C,A)) ) ) ) ) )).
fof(t21_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => k1_nat_1(k6_binarith(A,k7_binarith(A,B,C)),k16_funcop_1(k4_ordinal1,k8_binarith(A,B,C),k6_margrel1,k5_numbers,k5_series_1(2,A))) = k1_nat_1(k6_binarith(A,B),k6_binarith(A,C)) ) ) ) )).
fof(t21_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_algstr_0(A) & v1_algstr_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k6_algstr_0(A,k6_binom(A,B,D),C) = k6_algstr_0(A,B,k5_binom(A,C,D)) ) ) ) ) )).
fof(t21_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => k10_xtuple_0(k2_bintree2(A,B)) = k2_trees_2(A,B) ) ) )).
fof(t21_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,k1_boolealg(A,B,C),D) => r3_lattices(A,B,k3_lattices(A,C,D)) ) ) ) ) ) )).
fof(t21_bor_cant,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_bor_cant(A,B,C,k2_prob_1(A,D)) => k3_funct_2(B,k1_numbers,C,k1_prob_2(A,B,k1_prob_3(A,D),E)) = k1_funct_1(k1_series_3(k8_prob_1(A,B,D,C)),E) ) & ( r1_bor_cant(A,B,C,D) => k6_xcmplx_0(1,k3_funct_2(B,k1_numbers,C,k1_prob_2(A,B,k2_prob_3(A,D),E))) = k1_funct_1(k1_series_3(k8_prob_1(A,B,k2_prob_1(A,D),C)),E) ) ) ) ) ) ) ) )).
fof(t21_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( m1_setfam_1(C,k3_borsuk_1(A,B,D,E)) => ( ( E != k1_xboole_0 => m1_setfam_1(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),C),D) ) & ( D != k1_xboole_0 => m1_setfam_1(k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B)),k9_borsuk_1(A,B),C),E) ) ) ) ) ) ) ) ) )).
fof(t21_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_pre_topc(C,A) => ! [D] : ( m1_pre_topc(D,B) => m1_pre_topc(k2_borsuk_1(C,D),k2_borsuk_1(A,B)) ) ) ) ) )).
fof(t21_borsuk_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_connsp_1(A,k5_topmetr) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_topmetr)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_topmetr)) => ( ( r1_xxreal_0(B,C) & r1_xxreal_0(C,D) & r2_tarski(B,A) & r2_tarski(D,A) ) => r2_tarski(C,A) ) ) ) ) ) )).
fof(t21_borsuk_5,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( ( v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ v1_rat_1(k6_xcmplx_0(B,A)) ) ) )).
fof(t21_borsuk_6,axiom,( v4_pre_topc(a_0_9_borsuk_6,k2_borsuk_1(k3_topmetr,k3_topmetr)) & m1_subset_1(a_0_9_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)))) )).
fof(t21_bspace,axiom,( ! [A] : v2_rlvect_1(k7_bspace(A)) )).
fof(t21_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r2_funct_2(A,k5_margrel1,k1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E)),k7_bvfunc_2(A,k7_bvfunc_2(A,k1_bvfunc_1(A,B),C,D),C,E)) ) ) ) ) ) )).
fof(t21_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_eqrel_1(G,A) => ( B = k3_enumset1(C,D,E,F,G) => ( C = D | C = E | C = F | C = G | k5_bvfunc_2(A,C,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,D,E),F),G) ) ) ) ) ) ) ) ) ) )).
fof(t21_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k9_bvfunc_1(A,k14_margrel1(A,B),B)),k12_bvfunc_1(A)) ) ) )).
fof(t21_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,B,k11_bvfunc_1(A)) | r2_funct_2(A,k5_margrel1,B,k12_bvfunc_1(A)) ) ) ) )).
fof(t21_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r2_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E),k9_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),D)) ) ) ) ) ) ) )).
fof(t21_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r1_bvfunc_1(A,k7_bvfunc_2(A,k9_bvfunc_1(A,D,C),B,E),k9_bvfunc_1(A,D,k7_bvfunc_2(A,C,B,E))) ) ) ) ) ) ) )).
fof(t21_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,B,C,E) => r1_bvfunc_1(A,k6_bvfunc_2(A,B,C,D),k6_bvfunc_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(t21_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,B,k9_bvfunc_1(A,C,D)),k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,B,D))),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t21_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,E),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,B,D),k2_bvfunc_1(A,C,E)),k12_bvfunc_1(A)) ) ) ) ) ) ) )).
fof(t21_c0sp1,axiom,( ! [A] : ( l1_lopban_2(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v2_funcsdom(B) & v1_vectsp_1(B) & v3_vectsp_1(B) & v3_group_1(B) & v5_group_1(B) & l1_funcsdom(B) ) => ( g1_funcsdom(u1_struct_0(A),u2_algstr_0(A),u1_algstr_0(A),u1_rlvect_1(A),u3_struct_0(A),u2_struct_0(A)) = B => ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l1_funcsdom(A) ) ) ) ) )).
fof(t21_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_c0sp1(u1_struct_0(A))))) => ( B = k2_c0sp2(A) => v2_nfcont_1(B,k11_c0sp1(u1_struct_0(A))) ) ) ) )).
fof(t21_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),k7_cqc_lang(A,B,C)) => r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),B) ) ) ) ) ) )).
fof(t21_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),C,k12_finseq_1(k3_cqc_lang(A),B)),k12_finseq_1(k3_cqc_lang(A),B))) ) ) ) )).
fof(t21_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(A,B) <=> r2_tarski(k3_card_1(A),k3_card_1(B)) ) ) ) )).
fof(t21_card_2,axiom,( ! [A] : ( v1_card_1(A) => k2_card_2(A,1) = A ) )).
fof(t21_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ~ ( r2_hidden(A,k3_card_3(k2_card_3(B))) & ! [C] : ! [D] : A != k4_tarski(C,D) ) ) )).
fof(t21_card_4,axiom,( ! [A] : ( ~ v1_finset_1(A) => k1_card_1(A) = k2_card_2(k4_ordinal1,k1_card_1(A)) ) )).
fof(t21_card_5,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => k3_tarski(A) = A ) )).
fof(t21_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ! [B] : ( m1_card_fil(B,A) => ( ( v1_card_fil(B,A) & v3_card_fil(B,A) ) => r1_tarski(k4_card_fil(A),B) ) ) ) )).
fof(t21_card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ~ v1_xboole_0(k2_card_fin(B,C,A)) => ! [D] : ! [E] : ~ ( r2_tarski(D,k8_relat_1(C,k1_tarski(A))) & r2_tarski(E,k8_relat_1(C,k1_tarski(A))) & r1_xboole_0(k1_funct_1(B,D),k1_funct_1(B,E)) ) ) ) ) )).
fof(t21_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ! [C] : ( m1_card_lar(C,A,B) => v2_card_lar(C,A) ) => v2_card_lar(k6_setfam_1(A,B),A) ) ) ) )).
fof(t21_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k4_graph_1(A,C) = B => k1_cat_1(A,C,k4_cat_1(A,B)) = C ) ) ) ) )).
fof(t21_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( C = k3_tarski(a_2_0_cat_2(A,B)) & D = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),C) & E = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),C) & F = k1_realset1(u1_cat_1(A),C) ) => ( v1_cat_2(g1_cat_1(B,C,D,E,F),A) & m3_cat_2(g1_cat_1(B,C,D,E,F),A) ) ) ) ) ) ) ) ) ) )).
fof(t21_cat_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u4_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u4_struct_0(B)))) ) => r2_funct_2(A,u4_struct_0(B),k7_cat_3(B,A,D,C),k8_cat_3(B,A,k8_funcop_1(u4_struct_0(B),A,C),D)) ) ) ) )).
fof(t21_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => v1_cat_4(A) ) )).
fof(t21_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & v4_cat_5(B) & l1_cat_1(B) ) => ( r1_tarski(u1_struct_0(A),u1_struct_0(B)) => m3_cat_2(A,B) ) ) ) )).
fof(t21_cat_6,axiom,( ! [A] : ( ( v12_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ( r1_cat_6(A,B,C) => ( B = C & k2_cat_6(A,B,C) = C ) ) ) ) ) )).
fof(t21_cat_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => r2_tarski(B,k2_cat_7(A,B,B)) ) ) )).
fof(t21_catalan1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k3_xcmplx_0(4,k1_catalan1(A)),k1_catalan1(k1_nat_1(A,1))) ) ) )).
fof(t21_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k2_catalan2(B,A),k1_card_fin(B,A,1,k5_numbers)) ) ) )).
fof(t21_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_funct_2(u1_struct_0(k3_catalg_1(u1_struct_0(A))),u1_struct_0(k3_catalg_1(u1_struct_0(B))),k11_catalg_1(A,B,C),k9_catalg_1(u1_struct_0(A),D,E)) = k9_catalg_1(u1_struct_0(B),k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E)) ) ) ) ) ) )).
fof(t21_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v2_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) => ( v2_algstr_0(B,A) & v2_algstr_0(C,A) ) ) ) ) ) )).
fof(t21_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_cc0sp1(A))) => ( B = k4_struct_0(k7_cc0sp1(A)) => k5_numbers = k2_normsp_0(k7_cc0sp1(A),B) ) ) ) )).
fof(t21_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_cc0sp2(A))) => r1_xxreal_0(k5_numbers,k2_normsp_0(k5_cc0sp2(A),B)) ) ) )).
fof(t21_cfcont_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( v2_comseq_2(B) => ( v2_comseq_2(k1_valued_0(k2_numbers,B,A)) & k3_comseq_2(k1_valued_0(k2_numbers,B,A)) = k3_comseq_2(B) ) ) ) ) )).
fof(t21_cfuncdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ~ ( C = k2_tarski(A,B) & A != B & ! [D] : ( m2_funct_2(D,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ! [E] : ( m2_funct_2(E,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ? [F] : ( m2_funct_2(F,C,k2_numbers,k9_funct_2(C,k2_numbers)) & ! [G] : ( v1_xcmplx_0(G) => ! [H] : ( v1_xcmplx_0(H) => F != k1_binop_1(k1_cfuncdom(C),k1_funct_1(k3_cfuncdom(C),k4_tarski(G,D)),k1_funct_1(k3_cfuncdom(C),k4_tarski(H,E))) ) ) ) ) ) ) ) )).
fof(t21_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( v1_xcmplx_0(D) => r2_relset_1(A,k2_numbers,k25_valued_1(A,k2_numbers,k2_valued_1(A,k2_numbers,k2_numbers,B,C),D),k2_valued_1(A,k2_numbers,k2_numbers,k25_valued_1(A,k2_numbers,B,D),k25_valued_1(A,k2_numbers,C,D))) ) ) ) ) )).
fof(t21_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v3_cgames_1(A) & v4_cgames_1(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => ( ~ r1_xxreal_0(C,B) => r2_tarski(k9_cgames_1(k1_funct_1(A,B)),k9_cgames_1(k1_funct_1(A,C))) ) ) ) ) )).
fof(t21_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( m2_chain_1(k4_tarski(B,C),A) & m2_chain_1(k4_tarski(D,C),A) ) => B = D ) ) ) ) ) )).
fof(t21_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) => ! [C] : ( m2_glib_000(C,A,k6_subset_1(k6_glib_000(A),B),k21_glib_000(A,k6_subset_1(k6_glib_000(A),B))) => ! [D] : ( m3_glib_001(D,A) => ( ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => ~ ( r1_xxreal_0(E,k3_finseq_1(D)) & r2_tarski(k1_funct_1(D,E),B) ) ) => m3_glib_001(D,C) ) ) ) ) ) )).
fof(t21_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & r1_xboole_0(k2_msafree2(B),k3_msafree2(A)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( m1_subset_1(G,k4_card_3(u3_msualg_1(C,F))) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(A,D))) => ( H = k5_relat_1(G,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(B,E))) => ( I = k5_relat_1(G,u1_struct_0(B)) => ! [J] : ( v7_ordinal1(J) => k5_facirc_1(C,F,G,J) = k1_funct_4(k5_facirc_1(A,D,H,J),k5_facirc_1(B,E,I,J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_circcmb3,axiom,( ! [A] : ( ( v4_circcmb3(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msafree2(B,A) & v5_circcmb3(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k4_card_3(u3_msualg_1(A,B))) => r1_xxreal_0(k2_circcmb3(A,B,C),1) ) ) ) )).
fof(t21_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => k3_circcomb(A,A,B,B) = g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)) ) ) )).
fof(t21_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_circled1(B,A) & m1_rlvect_2(B,A) ) => ! [C] : ( ( v1_circled1(C,A) & m1_rlvect_2(C,A) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ~ r1_xxreal_0(k3_xcmplx_0(D,E),k5_numbers) => k3_rlvect_2(A,k7_rlvect_2(A,k8_rlvect_2(A,D,B),k8_rlvect_2(A,E,C))) = k4_subset_1(u1_struct_0(A),k3_rlvect_2(A,k8_rlvect_2(A,D,B)),k3_rlvect_2(A,k8_rlvect_2(A,E,C))) ) ) ) ) ) ) )).
fof(t21_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m4_msaterm(C,A,B) => ! [D] : ( m3_msaterm(D,A,C) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B)))) => ! [F] : ( m1_circtrm1(F,A,C,D,B,E) => ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(G,k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(G)))),G) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k2_xcmplx_0(1,k6_trees_1(k9_xtuple_0(G)))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) ) ) ) ) )).
fof(t21_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_ckspace1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_ckspace1(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_ckspace1(A,B,C))) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [J] : ( v1_xreal_0(J) => ( ( G = D & H = E ) => ( E = k1_rlvect_1(k2_ckspace1(A,B,C),D,J) <=> ! [K] : ( m2_subset_1(K,k1_euclid(A),C) => k1_funct_1(H,K) = k3_xcmplx_0(J,k1_funct_1(G,K)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_classes1,axiom,( ! [A] : ! [B] : ~ ( B != A & r2_tarski(B,k1_classes1(A)) & ! [C] : ( v3_ordinal1(C) => ~ ( ~ r2_tarski(B,k3_classes1(A,C)) & r2_tarski(B,k3_classes1(A,k1_ordinal1(C))) ) ) ) )).
fof(t21_classes2,axiom,( ! [A] : ( k1_card_1(k1_classes1(A)) != k5_numbers & k1_card_1(k1_classes1(A)) != k1_xboole_0 & v4_ordinal1(k1_card_1(k1_classes1(A))) ) )).
fof(t21_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => v6_clvect_1(k8_clopban1(A,B),k6_clopban1(A,B)) ) ) )).
fof(t21_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k5_struct_0(k7_clopban2(A)) = k6_clopban2(A) ) )).
fof(t21_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,C,D) = k1_normsp_0(A,B,k5_numbers) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_bhsp_4(A,k1_valued_0(u1_struct_0(A),B,1)),k2_normsp_1(A,k1_valued_0(u1_struct_0(A),k1_bhsp_4(A,B),1),C)) ) ) ) ) )).
fof(t21_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => k1_normsp_0(A,k4_clopban4(k1_nat_1(D,1),A,C,B),E) = k3_rlvect_1(A,k1_normsp_0(A,k4_clopban4(D,A,C,B),E),k1_normsp_0(A,k3_clopban4(k1_nat_1(D,1),A,C,B),E)) ) ) ) ) ) ) )).
fof(t21_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ! [D] : ( m2_pboole(D,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( ( v2_closure1(C,A,B) & v2_closure1(D,A,B) ) => v2_closure1(k3_closure1(A,B,D,C),A,B) ) ) ) ) )).
fof(t21_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,C))) => ( r2_tarski(B,D) => r1_pboole(A,B,k5_closure2(A,C,D)) ) ) ) ) )).
fof(t21_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k4_algstr_0(A,C),B) ) ) ) ) ) )).
fof(t21_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(C,A) & k1_clvect_2(A,C) = B ) => ( v2_comseq_2(k2_clvect_2(A,C)) & k1_seq_2(k2_clvect_2(A,C)) = k11_csspace(A,B) ) ) ) ) ) )).
fof(t21_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k3_clvect_3(A,B,1,k5_numbers) = k1_normsp_0(A,B,1) ) ) )).
fof(t21_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ( ~ ( k3_tarski(k7_coh_sp(A,B)) = k1_xboole_0 & k3_tarski(k6_coh_sp(A,B)) != k1_xboole_0 ) & v1_funct_1(k2_xfamily(B)) & v1_funct_2(k2_xfamily(B),k3_tarski(k6_coh_sp(A,B)),k3_tarski(k7_coh_sp(A,B))) & m1_subset_1(k2_xfamily(B),k1_zfmisc_1(k2_zfmisc_1(k3_tarski(k6_coh_sp(A,B)),k3_tarski(k7_coh_sp(A,B))))) & ! [C] : ! [D] : ( r2_tarski(k2_tarski(C,D),k6_coh_sp(A,B)) => r2_tarski(k2_tarski(k1_funct_1(k2_xfamily(B),C),k1_funct_1(k2_xfamily(B),D)),k7_coh_sp(A,B)) ) ) ) )).
fof(t21_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_classes1(k9_xtuple_0(A)) => ( v8_cohsp_1(A) <=> ( v3_cohsp_1(k9_xtuple_0(A)) & v6_cohsp_1(A) & ! [B] : ! [C] : ~ ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k1_funct_1(A,B)) & ! [D] : ~ ( v1_finset_1(D) & r1_tarski(D,B) & r2_tarski(C,k1_funct_1(A,D)) ) ) ) ) ) ) )).
fof(t21_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m2_collsp(B,A) => ! [C] : ( m2_collsp(C,A) => ~ ( B != C & ~ r1_xboole_0(B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_xboole_0(B,C) != k6_domain_1(u1_struct_0(A),D) ) ) ) ) ) )).
fof(t21_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_combgras(B,A,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A))) => ( ( v6_combgras(B,A,A) & v2_funct_2(u2_combgras(A,A,B),u2_incsp_1(A)) & v1_combgras(C,A) ) => v1_combgras(k5_combgras(A,A,B,C),A) ) ) ) ) )).
fof(t21_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v8_compl_sp(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v3_finset_1(B) & v2_tops_2(B,A) & v4_card_3(B) & k6_setfam_1(u1_struct_0(A),B) = k1_xboole_0 ) ) ) ) )).
fof(t21_complex1,axiom,( k5_xcmplx_0(k7_complex1) = k4_xcmplx_0(k7_complex1) )).
fof(t21_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k1_comptrig(A) = k5_numbers <=> ( r1_xxreal_0(k5_numbers,k3_complex1(A)) & k4_complex1(A) = k5_numbers ) ) ) )).
fof(t21_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ~ ( A != k4_struct_0(k1_complfld) & B != k4_struct_0(k1_complfld) & k5_algstr_0(k1_complfld,k9_algstr_0(k1_complfld,A),k9_algstr_0(k1_complfld,B)) != k8_group_1(k1_complfld,k5_algstr_0(k1_complfld,B,A),k9_algstr_0(k1_complfld,k8_group_1(k1_complfld,A,B))) ) ) ) )).
fof(t21_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => k1_complsp2(k8_seq_4(A,B)) = k8_seq_4(k1_complsp2(A),k1_complsp2(B)) ) ) ) )).
fof(t21_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => r1_ordinal1(k2_afinsq_1(B),k2_afinsq_1(k7_compos_1(A,B,C))) ) ) ) )).
fof(t21_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) ) => ( k63_valued_1(C) = k63_valued_1(B) => C = B ) ) ) ) )).
fof(t21_comptrig,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,k2_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(t21_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_pre_topc(C,B) => ! [D] : ( m1_pre_topc(D,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(D),u1_struct_0(A)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(A)))) ) => ( ( k2_xboole_0(k2_struct_0(C),k2_struct_0(D)) = k2_struct_0(B) & k9_subset_1(u1_struct_0(D),k2_struct_0(C),k2_struct_0(D)) = k7_domain_1(u1_struct_0(B),E,F) & v1_compts_1(C) & v1_compts_1(D) & v8_pre_topc(B) & v5_pre_topc(G,C,A) & v5_pre_topc(H,D,A) & k1_funct_1(G,E) = k1_funct_1(H,E) & k1_funct_1(G,F) = k1_funct_1(H,F) ) => ( v1_funct_1(k1_funct_4(G,H)) & v1_funct_2(k1_funct_4(G,H),u1_struct_0(B),u1_struct_0(A)) & v5_pre_topc(k1_funct_4(G,H),B,A) & m1_subset_1(k1_funct_4(G,H),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_comput_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k3_finseq_2(k4_ordinal1)) & v1_funct_1(A) & v2_margrel1(A) ) => r1_tarski(k1_relset_1(k3_finseq_2(k4_ordinal1),A),k4_finseq_2(k18_margrel1(A),k4_ordinal1)) ) )).
fof(t21_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k25_valued_1(k4_ordinal1,k2_numbers,A,k6_complex1),A) ) )).
fof(t21_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,k7_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B)),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k7_comseq_3(A),k7_comseq_3(B)),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_comseq_3(A),k8_comseq_3(B)))) & r2_funct_2(k4_ordinal1,k1_numbers,k8_comseq_3(k19_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B)),k1_series_1(k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k7_comseq_3(A),k8_comseq_3(B)),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_comseq_3(A),k7_comseq_3(B)))) ) ) ) )).
fof(t21_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) => ( ~ v4_conlat_1(g2_conlat_1(A,k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B),k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B))),A) & v6_conlat_1(g2_conlat_1(A,k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B),k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B))),A) & l2_conlat_1(g2_conlat_1(A,k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B),k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B))),A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u4_struct_0(A))) => ( ( ~ v4_conlat_1(g2_conlat_1(A,C,D),A) & v6_conlat_1(g2_conlat_1(A,C,D),A) & l2_conlat_1(g2_conlat_1(A,C,D),A) & r1_tarski(B,D) ) => r1_tarski(k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B)),D) ) ) ) ) ) ) )).
fof(t21_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => v3_funct_2(k9_conlat_2(A),u1_struct_0(k1_lattice2(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(k7_conlat_2(A)))) ) )).
fof(t21_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( k7_subset_1(u1_struct_0(A),k2_struct_0(A),B) = k4_subset_1(u1_struct_0(A),C,D) & r1_connsp_1(A,C,D) & v4_pre_topc(B,A) ) => ( v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) & v4_pre_topc(k4_subset_1(u1_struct_0(A),B,D),A) ) ) ) ) ) ) )).
fof(t21_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v1_connsp_2(A) & v10_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B != k1_xboole_0 & C != k1_xboole_0 & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) & v2_connsp_1(B,A) & v2_connsp_1(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v2_connsp_1(D,A) & v2_connsp_1(E,A) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) ) )).
fof(t21_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r2_tarski(C,B) & m1_connsp_3(B,A) ) => r1_tarski(k1_connsp_1(A,C),B) ) ) ) ) )).
fof(t21_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ~ ( v2_convex1(B,A) & k3_rlvect_2(A,B) = k1_xboole_0 ) ) ) )).
fof(t21_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_convex4(C,A) => r1_convex4(A,k5_convex4(A,B,C),k5_convex4(A,C,B)) ) ) ) )).
fof(t21_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => k13_cqc_lang(A,k14_qc_lang1(A,C,D),B) = k14_qc_lang1(A,k13_cqc_lang(A,C,B),k13_cqc_lang(A,D,B)) ) ) ) ) )).
fof(t21_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_tarski(k2_qc_lang3(A,B),k24_qc_lang1(A,C)) => r2_qc_lang1(A,B,k13_cqc_sim1(A,C)) ) ) ) ) )).
fof(t21_cqc_the1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,9) & ~ r2_tarski(A,k2_cqc_the1) ) ) )).
fof(t21_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( v2_cqc_the1(k12_cqc_lang(A,C,B),A) => ( r2_tarski(C,k24_qc_lang1(A,B)) | v2_cqc_the1(B,A) ) ) ) ) ) )).
fof(t21_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => r1_tarski(k4_subset_1(k3_cqc_lang(A),k1_cqc_the1(A,B),k1_cqc_the1(A,C)),k1_cqc_the1(A,k4_subset_1(k3_cqc_lang(A),B,C))) ) ) ) )).
fof(t21_csspace,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v2_csspace(C) & l1_csspace(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => k10_csspace(C,D,k3_rlvect_1(C,k1_clvect_1(C,E,A),k1_clvect_1(C,F,B))) = k2_xcmplx_0(k3_xcmplx_0(k8_complex1(A),k10_csspace(C,D,E)),k3_xcmplx_0(k8_complex1(B),k10_csspace(C,D,F))) ) ) ) ) ) ) )).
fof(t21_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_csspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_csspace4(A,B))) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & v1_csspace4(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_csspace4(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( E = C & F = D ) => ! [G] : ( v1_xcmplx_0(G) => ( D = k1_clvect_1(k9_csspace4(A,B),C,G) <=> ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,u1_struct_0(B),F,H) = k1_clvect_1(B,k3_funct_2(A,u1_struct_0(B),E,H),G) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_dblseq_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( m1_subset_1(E,B) => r2_funct_2(A,k1_numbers,k6_mesfunc9(A,B,k1_numbers,k3_valued_1(k2_zfmisc_1(A,B),k1_numbers,k1_numbers,C,D),E),k3_valued_1(A,k1_numbers,k1_numbers,k6_mesfunc9(A,B,k1_numbers,C,E),k6_mesfunc9(A,B,k1_numbers,D,E))) ) ) ) ) ) )).
fof(t21_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v6_decomp_1(C,A,B) <=> ( v9_decomp_1(C,A,B) & v18_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t21_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ! [K] : ( m1_subset_1(K,A) => ! [L] : ( m1_subset_1(L,A) => ! [M] : ( m1_subset_1(M,A) => ! [N] : ( m1_subset_1(N,A) => ! [O] : ( m1_subset_1(O,A) => ! [P] : ( m1_subset_1(P,A) => ! [Q] : ( m1_subset_1(Q,A) => ? [R] : ( m2_finseq_1(R,A) & v3_card_1(R,16) & k1_funct_1(R,1) = B & k1_funct_1(R,2) = C & k1_funct_1(R,3) = D & k1_funct_1(R,4) = E & k1_funct_1(R,5) = F & k1_funct_1(R,6) = G & k1_funct_1(R,7) = H & k1_funct_1(R,8) = I & k1_funct_1(R,9) = J & k1_funct_1(R,10) = K & k1_funct_1(R,11) = L & k1_funct_1(R,12) = M & k1_funct_1(R,13) = N & k1_funct_1(R,14) = O & k1_funct_1(R,15) = P & k1_funct_1(R,16) = Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_dickson(A))) => ~ ( r4_waybel_4(B,C,u1_orders_2(k5_dickson(A))) & v1_xboole_0(k6_dickson(A,B)) ) ) ) ) )).
fof(t21_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k26_valued_1(k1_numbers,k1_numbers,E,C),B),k1_nat_1(A,1)),D) = k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(E,B),k1_nat_1(A,1)),D)) ) ) ) ) ) )).
fof(t21_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( A != B => k9_diff_1(k1_fcont_1(C,D),A,B) = C ) ) ) ) ) )).
fof(t21_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k9_diff_1(C,k6_xcmplx_0(B,A),B) = k7_xcmplx_0(k1_funct_1(k4_diff_1(C,A),B),A) ) ) ) )).
fof(t21_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_tarski(k2_xcmplx_0(B,k7_xcmplx_0(A,2)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) & r2_tarski(k6_xcmplx_0(B,k7_xcmplx_0(A,2)),k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,k2_fdiff_9),k1_relset_1(k1_numbers,k1_fdiff_9))) ) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k1_fdiff_9),A),B) = k4_xcmplx_0(k3_xcmplx_0(4,k7_xcmplx_0(k3_xcmplx_0(k19_sin_cos(k3_xcmplx_0(2,B)),k17_sin_cos(A)),k3_xcmplx_0(k17_sin_cos(k2_xcmplx_0(k3_xcmplx_0(2,B),A)),k17_sin_cos(k6_xcmplx_0(k3_xcmplx_0(2,B),A)))))) ) ) ) )).
fof(t21_dilworth,axiom,( ! [A] : ( ( v4_dilworth(A) & l1_orders_2(A) ) => ( k2_dilworth(A) = 1 => ( v1_dilworth(k2_struct_0(A),A) & m1_subset_1(k2_struct_0(A),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t21_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_diraf(A,B,C,B,D) => r2_diraf(A,C,B,C,D) ) ) ) ) ) )).
fof(t21_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ( v1_dist_1(B,A) => v3_funct_1(k4_dist_1(A,B)) ) ) ) )).
fof(t21_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_2(B,A,k3_finseq_2(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,k5_bvfunc_1(A,C,D)),k7_margrel1) = k2_xboole_0(k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,C),k7_margrel1),k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,D),k7_margrel1)) ) ) ) ) )).
fof(t21_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => k4_zfmisc_1(A,B,C,D) = a_4_0_domain_1(A,B,C,D) ) ) ) ) )).
fof(t21_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k4_struct_0(k12_dualsp01(A)) = k8_funcop_1(k4_ordinal1,u1_struct_0(A),k5_numbers) ) )).
fof(t21_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_dualsp02(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k17_dualsp01(k17_dualsp01(A)))) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(k17_dualsp01(A))) => k18_dualsp01(k17_dualsp01(A),B,D) = k18_dualsp01(A,D,C) ) ) ) ) ) )).
fof(t21_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,k5_dynkin(A,B)) & v2_finsub_1(B) ) => r2_tarski(k9_subset_1(A,C,D),k5_dynkin(A,B)) ) ) ) ) ) )).
fof(t21_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( r1_tarski(k13_e_siec(A),k2_zfmisc_1(k12_e_siec(A),k12_e_siec(A))) & r1_tarski(k14_e_siec(A),k2_zfmisc_1(k12_e_siec(A),k12_e_siec(A))) ) ) )).
fof(t21_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ( k2_binom(k9_int_3(A),B,k5_numbers) = k1_group_1(k9_int_3(A)) & k2_binom(k9_int_3(A),B,k5_numbers) = 1 ) ) ) )).
fof(t21_ec_pf_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) & F = k5_int_1(k6_xcmplx_0(A,B),C) ) => k5_algstr_0(k9_int_3(C),k8_group_1(k9_int_3(C),D,G),k8_group_1(k9_int_3(C),E,G)) = k8_group_1(k9_int_3(C),F,G) ) ) ) ) ) ) ) ) )).
fof(t21_entropy1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( C = k6_matrixr1(k9_matrixr1(A),k10_matrixr1(B)) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & k1_matrix_0(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(C)) => k3_matrix_0(k1_numbers,C,D,E) = k3_xcmplx_0(k1_funct_1(A,D),k1_funct_1(B,E)) ) ) ) ) ) ) ) ) )).
fof(t21_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k1_tarski(G)) )).
fof(t21_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ~ ( r2_hidden(C,A) & ! [D] : ~ r2_hidden(C,k6_eqrel_1(A,A,B,D)) ) ) )).
fof(t21_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_msualg_2(D,A,C) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ( r8_pboole(u1_struct_0(A),E,u3_msualg_1(A,D)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B)) => ! [G] : ( m2_pboole(G,u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),G,k1_msafree(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B),E,F)) => ! [H] : ( m1_subset_1(H,u4_struct_0(A)) => ! [I] : ( m1_subset_1(I,k3_msualg_1(A,H,C)) => ! [J] : ( m1_subset_1(J,k3_msualg_1(A,H,D)) => ( I = J => ( k3_msualg_1(A,H,D) = k1_xboole_0 | k5_msualg_3(A,C,B,H,F,I) = k5_msualg_3(A,D,B,H,G,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => r1_pcomps_1(k1_euclid(A),k13_euclid(A)) ) )).
fof(t21_euclid10,axiom,( k2_sin_cos6(k7_xcmplx_0(1,2)) = k7_xcmplx_0(k28_sin_cos,6) & k2_sin_cos6(k7_xcmplx_0(k3_square_1(3),2)) = k7_xcmplx_0(k28_sin_cos,3) )).
fof(t21_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k4_algstr_0(k15_euclid(A),B),C) = k4_xcmplx_0(k22_rvsum_1(B,C)) ) ) ) )).
fof(t21_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k9_complex1(k2_euclid_3(A)) = k3_square_1(k2_xcmplx_0(k1_square_1(k17_euclid(A)),k1_square_1(k18_euclid(A)))) ) )).
fof(t21_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( v1_xreal_0(D) => k22_rvsum_1(k9_euclid(A,B,D),C) = k3_xcmplx_0(D,k22_rvsum_1(B,C)) ) ) ) ) )).
fof(t21_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k5_euclid_5(k4_euclid_5(k5_numbers,A,k5_numbers),k4_euclid_5(k5_numbers,B,k5_numbers)) = k4_struct_0(k15_euclid(3)) ) ) )).
fof(t21_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( k4_euclid_3(A,B,C) = k4_euclid_3(D,E,F) & k4_euclid_3(C,A,B) = k4_euclid_3(F,D,E) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | r1_rltopsp1(k15_euclid(2),D,E,F) | ( k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,B)),k12_euclid(k5_algstr_0(k15_euclid(2),D,F))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,C)),k12_euclid(k5_algstr_0(k15_euclid(2),F,E))) & k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,B)),k12_euclid(k5_algstr_0(k15_euclid(2),E,D))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,A)),k12_euclid(k5_algstr_0(k15_euclid(2),F,E))) & k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,C)),k12_euclid(k5_algstr_0(k15_euclid(2),E,D))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,A)),k12_euclid(k5_algstr_0(k15_euclid(2),D,F))) ) ) ) ) ) ) ) ) ) )).
fof(t21_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_1(B),k4_finseq_1(B)))) ) => ( C = k2_euclid_7(k1_euclid(A),B,D) => k5_euclid_7(A,C) = k5_euclid_7(A,B) ) ) ) ) ) )).
fof(t21_euclid_8,axiom,( k5_euclid_8(k3_euclid_8,k2_euclid_8) = k6_euclid(3,k4_euclid_8) )).
fof(t21_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(A))) => r1_tarski(k4_euclid_9(A,D,k6_xcmplx_0(B,k1_funct_1(k3_euclid(k8_rvsum_1(D,C)),k1_euclid_9(A,D,C)))),k4_euclid_9(A,C,B)) ) ) ) ) )).
fof(t21_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(D)) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(D)) => k9_euclid(D,k7_euclid(D,k9_euclid(D,E,B),k9_euclid(D,F,C)),A) = k7_euclid(D,k9_euclid(D,E,k3_xcmplx_0(A,B)),k9_euclid(D,F,k3_xcmplx_0(A,C))) ) ) ) ) ) ) )).
fof(t21_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r4_analmetr(A,B,E,B,F) & r4_analmetr(A,B,G,B,H) & r4_analmetr(A,C,E,D,F) & r4_analmetr(A,C,G,D,H) & B = D ) => ( r2_analoaf(A,B,G,B,C) | r2_analoaf(A,B,C,B,E) | r4_analmetr(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_euler_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_int_2(A,B) => ( r1_xxreal_0(A,1) | r1_xxreal_0(B,1) | k1_euler_1(k3_xcmplx_0(A,B)) = k2_nat_1(k1_euler_1(A),k1_euler_1(B)) ) ) ) ) )).
fof(t21_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => v2_exchsort(A,k1_exchsort(A)) ) )).
fof(t21_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( ? [E] : ( v7_ordinal1(E) & r1_compos_1(B,C,k5_memstr_0(A,B,k5_extpro_1(A,B,C,D,E))) ) => ! [E] : ( v7_ordinal1(E) => k6_extpro_1(A,B,C,D) = k6_extpro_1(A,B,C,k5_extpro_1(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t21_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ~ r1_xxreal_0(B,k3_extreal1(A)) => ( ~ r1_xxreal_0(A,k2_xxreal_3(B)) & ~ r1_xxreal_0(B,A) ) ) ) ) )).
fof(t21_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & l1_msualg_1(B) ) => ! [C] : ( r2_tarski(C,k3_msafree2(A)) => ( r2_tarski(C,k3_msafree2(k2_circcomb(A,B))) & r2_tarski(C,k3_msafree2(k2_circcomb(B,A))) ) ) ) ) )).
fof(t21_facirc_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ( ( r1_circcomb(A,B) & k2_msafree2(A) = k2_msafree2(B) ) => k2_msafree2(k2_circcomb(A,B)) = k2_msafree2(A) ) ) ) )).
fof(t21_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k56_valued_1(k1_numbers,k1_numbers,B),A)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,B),A)) ) ) ) )).
fof(t21_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v2_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(k2_limfunc1(A),k1_relset_1(k1_numbers,B)) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_limfunc1(A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_limfunc1(A))) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k2_limfunc1(A))),k7_relset_1(k1_numbers,k1_numbers,B,k2_limfunc1(A)))) ) ) ) ) )).
fof(t21_fdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C))) & r2_fdiff_1(B,A) & r2_fdiff_1(C,A) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),A),D) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(C,D),k1_fdiff_1(B,D)),k3_xcmplx_0(k1_funct_1(B,D),k1_fdiff_1(C,D))) ) ) ) ) ) ) ) )).
fof(t21_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),A),B) = k7_xcmplx_0(k19_sin_cos(k1_funct_1(k26_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B))) ) ) ) ) ) )).
fof(t21_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k1_fdiff_9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k1_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k1_fdiff_9),A),B) = k7_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k1_sin_cos9,B)),k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k1_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t21_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_fdiff_1(B,A) & r2_fdiff_1(C,A) & ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(D,A) & k1_funct_1(C,D) = k5_numbers ) ) ) => ( r2_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,B,C),A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,B,C),A),k3_rfunct_1(k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_1(B,A),C),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_1(C,A),B)),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,C,C))) ) ) ) ) ) )).
fof(t21_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1))) & D = k1_taylor_1(3) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => ( k1_funct_1(C,E) = A & ~ r1_xxreal_0(k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),E),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k3_taylor_1),B),E) = k7_xcmplx_0(k3_xcmplx_0(3,k1_newton(E,2)),k2_xcmplx_0(A,k1_newton(E,3))) ) ) ) ) ) ) ) ) )).
fof(t21_fdiff_5,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1))) & B = k1_taylor_1(2) & ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(C,A) & r1_xxreal_0(C,k5_numbers) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1),A),C) = k2_xcmplx_0(C,k3_xcmplx_0(k3_xcmplx_0(2,C),k1_funct_1(k3_taylor_1,C))) ) ) ) ) ) ) )).
fof(t21_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,B),k3_taylor_1))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => ( k1_funct_1(B,C) = 1 & ~ r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,B),C),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,B),k3_taylor_1),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,B),k3_taylor_1),A),C) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,C),k6_xcmplx_0(k1_funct_1(k22_sin_cos,C),1)) ) ) ) ) ) ) )).
fof(t21_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_sin_cos6),k7_xcmplx_0(1,2)))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => ( k1_funct_1(B,C) = k3_xcmplx_0(2,C) & ~ r1_xxreal_0(k1_funct_1(B,C),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(B,C)) ) ) ) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_sin_cos6),k7_xcmplx_0(1,2)),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_sin_cos6),k7_xcmplx_0(1,2)),A),C) = k4_xcmplx_0(k7_xcmplx_0(1,k3_square_1(k6_xcmplx_0(1,k1_square_1(k3_xcmplx_0(2,C)))))) ) ) ) ) ) ) )).
fof(t21_fdiff_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_taylor_1(A)))) & r1_xxreal_0(1,A) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_taylor_1(A)),B) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k1_taylor_1(A)),B),C) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k3_prepower(k1_funct_1(k18_sin_cos,C),k6_xcmplx_0(A,1))),k3_prepower(k1_funct_1(k16_sin_cos,C),k1_nat_1(A,1)))) ) ) ) ) ) ) )).
fof(t21_fdiff_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k1_taylor_1(A)))) & r1_xxreal_0(1,A) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k1_taylor_1(A)),B) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k1_taylor_1(A)),B),C) = k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(A,k1_funct_1(k18_sin_cos,C)),k3_prepower(k1_funct_1(k16_sin_cos,C),k1_nat_1(A,1)))) ) ) ) ) ) ) )).
fof(t21_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( k3_relat_1(k9_ff_siec(A),k9_ff_siec(A)) = k9_ff_siec(A) & k3_relat_1(k4_xboole_0(k9_ff_siec(A),k4_relat_1(k2_net_1(A))),k9_ff_siec(A)) = k1_xboole_0 & k2_xboole_0(k2_xboole_0(k9_ff_siec(A),k2_relat_1(k9_ff_siec(A))),k4_relat_1(k2_net_1(A))) = k2_xboole_0(k10_ff_siec(A),k2_relat_1(k10_ff_siec(A))) ) ) )).
fof(t21_fib_num2,axiom,( k1_pre_ff(2) = 1 )).
fof(t21_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_fib_num3(A) = k2_xcmplx_0(k2_power(k1_fib_num,A),k2_power(k2_fib_num,A)) ) )).
fof(t21_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => k2_int_1(k7_xcmplx_0(k2_power(k1_fib_num,k2_xcmplx_0(k3_xcmplx_0(2,A),1)),k3_square_1(5))) = k1_pre_ff(k2_xcmplx_0(k3_xcmplx_0(2,A),1)) ) )).
fof(t21_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ( k3_finseq_8(A,k6_finseq_1(A),B) = k6_finseq_1(A) & k3_finseq_8(A,B,k6_finseq_1(A)) = k6_finseq_1(A) ) ) ) )).
fof(t21_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v19_lattices(B,A) & v20_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k3_filter_0(A,B) = B ) ) )).
fof(t21_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,A),A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(B,B),B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => k4_binop_1(k2_zfmisc_1(A,B),k6_filter_1(A,B,G,H),k1_domain_1(A,B,C,E),k1_domain_1(A,B,D,F)) = k1_domain_1(A,B,k4_binop_1(A,G,C,D),k4_binop_1(B,H,E,F)) ) ) ) ) ) ) ) ) )).
fof(t21_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) <=> ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k3_lattices(A,C,D),B) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r3_lattices(A,D,C) ) => r2_tarski(D,B) ) ) ) ) ) ) ) )).
fof(t21_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k10_fin_topo(A,B) != k1_xboole_0 & k1_card_1(B) != 1 & v4_fin_topo(B,A) ) ) ) )).
fof(t21_finance2,axiom,( m1_prob_1(k1_borsuk_5,k1_numbers,k12_prob_1) )).
fof(t21_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => A = k5_relat_1(k7_finseq_1(A,B),k4_finseq_1(A)) ) ) )).
fof(t21_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( C = k5_relat_1(B,k1_finseq_1(A)) => k3_finseq_1(C) = k3_xxreal_0(A,k3_finseq_1(B)) ) ) ) ) )).
fof(t21_finseq_3,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ( k2_finseq_1(C) = k2_tarski(A,B) => ( A = B | ( C = 2 & k2_tarski(A,B) = k2_tarski(1,2) ) ) ) ) )).
fof(t21_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(A)) => ( r1_xxreal_0(1,k4_finseq_4(A,B)) & r1_xxreal_0(k4_finseq_4(A,B),k3_finseq_1(A)) ) ) ) )).
fof(t21_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => ( k1_nat_1(A,1) = k3_finseq_1(C) => C = k8_finseq_1(B,k17_finseq_1(B,A,C),k12_finseq_1(B,k7_partfun1(B,C,k3_finseq_1(C)))) ) ) ) ) )).
fof(t21_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : k4_finseq_4(k11_finseq_1(A,B,C),A) = 1 )).
fof(t21_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k2_finseq_7(A,B,C,D) = k2_finseq_7(A,B,D,C) ) ) ) ) )).
fof(t21_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r1_tarski(C,B) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | k1_funct_1(C,1) = k1_funct_1(B,1) ) ) ) ) ) )).
fof(t21_finsop_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ( k3_finseq_1(B) = 2 => k1_finsop_1(A,B,C) = k1_binop_1(C,k1_funct_1(B,1),k1_funct_1(B,2)) ) ) ) ) )).
fof(t21_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k10_fintopo2(A,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(D,k6_fintopo2(A,B)) & r1_tarski(D,C) ) ) ) ) ) )).
fof(t21_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k5_fintopo3(A,B,2) = k8_fin_topo(A,k8_fin_topo(A,B)) ) ) )).
fof(t21_fintopo4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ( ~ r1_xxreal_0(A,k5_numbers) => v1_fin_topo(k4_fintopo4(A)) ) ) )).
fof(t21_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_xboole_0(k6_fin_topo(A,B),k7_fin_topo(A,B)) ) ) )).
fof(t21_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => ( r1_tarski(k7_subset_1(k3_catalan2(A),k6_flang_1(A,B,C),k6_flang_1(A,B,D)),k6_flang_1(A,B,k7_subset_1(k3_catalan2(A),C,D))) & r1_tarski(k7_subset_1(k3_catalan2(A),k6_flang_1(A,C,B),k6_flang_1(A,D,B)),k6_flang_1(A,k7_subset_1(k3_catalan2(A),C,D),B)) ) ) ) ) )).
fof(t21_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k1_flang_2(A,B,C,D) = k1_xboole_0 <=> ~ ( r1_xxreal_0(C,D) & ~ ( ~ r1_xxreal_0(C,k5_numbers) & B = k1_xboole_0 ) ) ) ) ) ) )).
fof(t21_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k8_afinsq_1(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k8_afinsq_1(A))) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(B,k1_flang_3(A,D,E)) & r1_tarski(C,k1_flang_3(A,D,F)) ) => r1_tarski(k6_flang_1(A,B,C),k1_flang_3(A,D,k2_xcmplx_0(E,F))) ) ) ) ) ) ) )).
fof(t21_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_partfun1(B,A) ) => r1_relset_1(A,A,k6_partfun1(A),k3_relat_1(B,k2_relat_1(B))) ) )).
fof(t21_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v13_fomodel1(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_fomodel2(D,A,B) ) => k1_funct_1(k9_fomodel2(A,B,D),C) = k1_funct_1(k4_fomodel2(A,B,D,k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0)),k15_fomodel1(A),k22_fomodel1(A),C)),k3_relat_1(k33_fomodel1(A,C),k9_fomodel2(A,B,D))) ) ) ) ) )).
fof(t21_fomodel4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(k30_fomodel2(B))) ) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(A),k2_xboole_0(A,k5_margrel1))),k15_fomodel2(B,A)) => ~ ( v10_fomodel2(C,A,B,D) & ! [E] : ( ( ~ v1_xboole_0(E) & v4_card_3(E) ) => ! [F] : ( m2_subset_1(F,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(E),k2_xboole_0(E,k5_margrel1))),k15_fomodel2(B,E)) => ~ v10_fomodel2(C,E,B,F) ) ) ) ) ) ) ) )).
fof(t21_frechet,axiom,( v1_frechet(k3_topmetr) )).
fof(t21_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_frechet(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( k1_frechet2(A,k1_struct_0(A)) = k1_xboole_0 & r1_tarski(B,k1_frechet2(A,B)) & k1_frechet2(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k1_frechet2(A,B),k1_frechet2(A,C)) & k1_frechet2(A,k1_frechet2(A,B)) = k1_frechet2(A,B) ) ) ) ) ) )).
fof(t21_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(D) & l1_msualg_1(D) ) => ( D = k8_fscirc_1(A,B,C) => ( r2_tarski(A,u1_struct_0(D)) & r2_tarski(B,u1_struct_0(D)) & r2_tarski(C,u1_struct_0(D)) ) ) ) )).
fof(t21_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( v7_ordinal1(E) => r6_fsm_1(A,B,C,D,D,E) ) ) ) ) ) )).
fof(t21_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_2(D,A,B) ) => ( r2_fsm_2(A,C,D) => ! [E] : ( m1_subset_1(E,B) => ! [F] : ( m1_subset_1(F,B) => ( ( r3_fsm_2(A,B,D,C,E) & r3_fsm_2(A,B,D,C,F) ) => E = F ) ) ) ) ) ) ) ) )).
fof(t21_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_3(C,A,B) ) => k6_fsm_3(A,B,C) = k5_fsm_3(A,B,C,u1_fsm_3(A,B,C)) ) ) ) )).
fof(t21_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : k3_msafree2(k13_ftacell1(A,B,C,D,E)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),k36_gfacirc1(A,B,C)),k2_enumset1(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k4_tarski(k10_finseq_1(C,A),k6_twoscomp),k33_gfacirc1(A,B,C))),k2_tarski(k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k4_gfacirc1),k24_gfacirc1(k36_gfacirc1(A,B,C),E,D))),k2_enumset1(k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k3_gfacirc1),k4_tarski(k10_finseq_1(E,D),k2_twoscomp),k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1),k21_gfacirc1(k36_gfacirc1(A,B,C),E,D))) )).
fof(t21_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( k9_xtuple_0(D) = k9_xtuple_0(k3_funcop_1(C,A,B)) & ! [E] : ( r2_tarski(E,k9_xtuple_0(k3_funcop_1(C,A,B))) => k1_funct_1(D,E) = k1_binop_1(C,k1_funct_1(A,E),k1_funct_1(B,E)) ) ) => D = k3_funcop_1(C,A,B) ) ) ) ) ) )).
fof(t21_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ~ ( C = k2_tarski(A,B) & A != B & ! [D] : ( m2_funct_2(D,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ! [E] : ( m2_funct_2(E,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ? [F] : ( m2_funct_2(F,C,k1_numbers,k9_funct_2(C,k1_numbers)) & ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => F != k1_binop_1(k5_funcsdom(C),k1_funct_1(k7_funcsdom(C),k4_tarski(G,D)),k1_funct_1(k7_funcsdom(C),k4_tarski(H,E))) ) ) ) ) ) ) ) )).
fof(t21_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r2_hidden(B,k9_xtuple_0(k3_relat_1(C,k4_relat_1(A)))) <=> ( r2_hidden(B,k9_xtuple_0(C)) & r2_tarski(k1_funct_1(C,B),A) ) ) ) )).
fof(t21_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ~ ( v2_funct_1(C) <=> ! [D] : ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,D,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,D,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(D,A))) ) => ( r2_relset_1(D,B,k1_partfun1(D,A,A,B,E,C),k1_partfun1(D,A,A,B,F,C)) => r2_relset_1(D,A,E,F) ) ) ) ) ) ) )).
fof(t21_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_tarski(A,k9_xtuple_0(k3_funct_3(B))) => k1_funct_1(k3_funct_3(B),A) = k8_relat_1(B,A) ) ) )).
fof(t21_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k1_funct_4(A,k1_xboole_0) = A ) )).
fof(t21_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),k9_xtuple_0(A)) => r2_hidden(C,k9_xtuple_0(k3_funct_5(A))) ) ) )).
fof(t21_funct_7,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ? [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) & ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( r1_tarski(D,C) => D = C ) ) ) ) ) )).
fof(t21_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_funct_8(A,k1_numbers,k1_numbers,B) => r1_funct_8(A,k1_numbers,k1_numbers,k55_valued_1(k1_numbers,k1_numbers,B)) ) ) ) )).
fof(t21_funct_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_int_1(A) ) => v1_funct_9(k16_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)) ) )).
fof(t21_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k1_altcat_1(B,C,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_altcat_1(B,C,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k3_functor0(A,B,k9_functor0(A,B,C,D),E) = C ) ) ) ) ) ) )).
fof(t21_functor1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & v1_altcat_2(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & v1_altcat_2(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & v1_altcat_2(C) & l2_altcat_1(C) ) => ! [D] : ( ( v8_functor0(D,A,B) & l2_functor0(D,A,B) ) => ! [E] : ( ( v8_functor0(E,B,C) & l2_functor0(E,B,C) ) => ! [F] : ( ( v8_functor0(F,B,A) & l2_functor0(F,B,A) ) => ! [G] : ( ( v8_functor0(G,C,B) & l2_functor0(G,C,B) ) => ( ( v21_functor0(E,B,C) & v21_functor0(D,A,B) & g2_functor0(B,A,u1_functor0(B,A,F),u2_functor0(B,A,F)) = k15_functor0(A,B,D) & g2_functor0(C,B,u1_functor0(C,B,G),u2_functor0(C,B,G)) = k15_functor0(B,C,E) ) => k15_functor0(A,C,k13_functor0(A,B,C,D,E)) = k13_functor0(C,B,A,G,F) ) ) ) ) ) ) ) ) )).
fof(t21_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_functor2(E,A,B,C,D) => ( r1_functor2(A,B,C,D) => r8_pboole(u1_struct_0(A),k6_functor3(A,A,B,C,D,k12_functor0(A),E),E) ) ) ) ) ) ) )).
fof(t21_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_xxreal_0(k5_numbers,k3_fuznum_1(A,B)) & r1_xxreal_0(k3_fuznum_1(A,B),1) ) ) ) )).
fof(t21_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,A,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r1_fuzzy_1(B,D) & r1_fuzzy_1(C,E) ) => r1_fuzzy_1(k2_fuzzy_1(A,B,C),k2_fuzzy_1(A,D,E)) ) ) ) ) ) ) )).
fof(t21_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k2_fuzzy_1(A,k1_fuzzy_1(A,B,C),k3_fuzzy_1(A,k2_fuzzy_1(A,B,C))),k3_fuzzy_1(A,k6_fuzzy_1(A,B,C))) ) ) ) )).
fof(t21_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ! [D] : ( r2_hidden(k4_tarski(C,D),k2_zfmisc_1(A,B)) => ( k1_funct_1(k4_fuzzy_2(A,B),k4_tarski(C,D)) = k5_numbers & k1_funct_1(k5_fuzzy_2(A,B),k4_tarski(C,D)) = 1 ) ) ) ) )).
fof(t21_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_fvaluat1(C,A) => ( v3_fvaluat1(A) => ( B = k4_struct_0(A) | k3_funct_2(u1_struct_0(A),k6_numbers,C,k9_algstr_0(A,B)) = k2_supinf_2(k3_funct_2(u1_struct_0(A),k6_numbers,C,B)) ) ) ) ) ) )).
fof(t21_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v1_algstr_1(B) & v2_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( m2_finseq_2(C,u1_struct_0(B),k4_finseq_2(A,u1_struct_0(B))) => ( k4_fvsum_1(A,B,C,k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B))) = C & C = k4_fvsum_1(A,B,k5_finseq_2(u1_struct_0(B),A,k4_struct_0(B)),C) ) ) ) ) )).
fof(t21_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ ( ~ v1_xboole_0(k15_gate_1(A,B,C,D)) & v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) ) & ~ ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) ) & v1_xboole_0(k15_gate_1(A,B,C,D)) ) ) )).
fof(t21_gaussint,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ec_pf_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( C = E => ( C = k4_struct_0(A) | k9_algstr_0(A,C) = k9_algstr_0(B,E) ) ) ) ) ) ) ) ) )).
fof(t21_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l4_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(B,k3_gcd_1(A)) & v1_xboole_0(B) ) ) ) )).
fof(t21_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( ( r1_xxreal_0(k3_finseq_1(E),A) & r1_xxreal_0(k3_finseq_1(E),B) ) => k9_genealg1(D,E,F,A,B,C) = k7_genealg1(D,E,F,C) ) ) ) ) ) ) ) )).
fof(t21_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_geomtrap(A,F,G,B,D,C,E) => r2_geomtrap(A,F,G,C,E,B,D) ) ) ) ) ) ) ) ) )).
fof(t21_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,k4_tarski(k10_finseq_1(A,B),k3_facirc_1)) & F = k1_funct_1(D,k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) & G = k1_funct_1(D,k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) ) => k1_twoscomp(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),k6_circuit2(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D),k9_gfacirc1(A,B,C)) = k1_binarith(k1_binarith(E,F),G) ) ) ) ) ) )).
fof(t21_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( k5_gfacirc2(k1_nat_1(A,1),B,C) = k2_circcomb(k5_gfacirc2(A,B,C),k25_gfacirc1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k7_gfacirc2(A,B,C))) & k6_gfacirc2(k1_nat_1(A,1),B,C) = k3_circcomb(k5_gfacirc2(A,B,C),k25_gfacirc1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k7_gfacirc2(A,B,C)),k6_gfacirc2(A,B,C),k26_gfacirc1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k7_gfacirc2(A,B,C))) & k7_gfacirc2(k1_nat_1(A,1),B,C) = k21_gfacirc1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k7_gfacirc2(A,B,C)) ) ) ) ) )).
fof(t21_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & ~ v4_glib_000(A) ) => ~ ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => B = C ) ) ) )).
fof(t21_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( k3_finseq_1(B) = k3_finseq_1(k6_glib_001(A,B)) & k1_relset_1(k4_ordinal1,B) = k1_relset_1(k4_ordinal1,k6_glib_001(A,B)) & k2_relset_1(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B) = k2_relset_1(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k6_glib_001(A,B)) ) ) ) )).
fof(t21_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m1_glib_000(B,A) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(B)) => ( C = D => r1_tarski(k2_glib_002(B,D),k2_glib_002(A,C)) ) ) ) ) ) )).
fof(t21_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ( v3_glib_001(B,A) => k10_glib_003(A,B) = k5_numbers ) ) ) )).
fof(t21_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( v7_ordinal1(C) => k4_card_1(k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) = k4_nat_1(k1_nat_1(C,1),k4_card_1(k2_glib_002(A,B))) ) ) ) )).
fof(t21_goboard1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xboole_0(k10_xtuple_0(A),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),E,D))) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),E,C))) & r2_tarski(B,k4_finseq_1(A)) & r2_tarski(D,k2_finseq_1(k1_matrix_0(E))) & r2_tarski(C,k4_finseq_1(E)) ) => ( r1_xxreal_0(k1_matrix_0(E),1) | r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k10_xtuple_0(k7_matrix_0(u1_struct_0(k15_euclid(2)),k16_matrix_0(D,u1_struct_0(k15_euclid(2)),E),C))) ) ) ) ) ) ) ) )).
fof(t21_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k1_matrix_0(C),B) | r1_xxreal_0(k3_finseq_1(C),A) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,k1_nat_1(B,1)),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))),k3_goboard5(C,A,B)) ) ) ) ) ) )).
fof(t21_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k3_goboard5(A,k3_finseq_1(A),k5_numbers)) = a_1_6_goboard6(A) ) )).
fof(t21_goboard7,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k1_matrix_0(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_matrix_0(A)) ) => ( r1_xboole_0(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) | ( ( B = D | B = k1_nat_1(D,1) ) & ( C = E | k1_nat_1(C,1) = E ) ) ) ) ) ) ) ) ) )).
fof(t21_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,B) & r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,1)),k17_euclid(C)) ) ) => r1_xboole_0(B,k3_topreal1(2,A)) ) ) ) )).
fof(t21_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => r1_tarski(k1_tops_1(k15_euclid(2),k5_goboard5(A,B)),k2_goboard9(A)) ) ) ) )).
fof(t21_gobrd11,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v2_goboard1(A) => k2_goboard5(A,k5_numbers) = a_1_11_gobrd11(A) ) ) )).
fof(t21_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(D)) & r1_goboard1(u1_struct_0(k15_euclid(2)),D,E) & r2_hidden(k4_tarski(A,B),k2_matrix_0(E)) & r2_hidden(k4_tarski(A,k1_nat_1(B,1)),k2_matrix_0(E)) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,B) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,k1_nat_1(B,1)) ) => k2_gobrd13(D,E,C) = k3_goboard5(E,k7_nat_d(A,1),B) ) ) ) ) ) ) )).
fof(t21_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k2_pre_topc(k15_euclid(2),k3_goboard9(A)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_goboard9(A),k3_topreal1(2,A)) ) )).
fof(t21_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r2_tarski(C,B) => r1_henmodel(A,B,C) ) ) ) ) )).
fof(t21_gr_cy_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_int_2(k7_group_1(A)) => ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) ) ) )).
fof(t21_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( k7_group_1(A) = 2 => ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) ) ) )).
fof(t21_gr_cy_3,axiom,( k1_gr_cy_3(7) = 127 )).
fof(t21_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & l1_graph_1(D) ) => ( ( r4_graph_1(B,D) & r4_graph_1(C,D) & r1_graph_1(A,B,C) ) => r4_graph_1(A,D) ) ) ) ) ) )).
fof(t21_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_graph_2(A) & v2_graph_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_graph_2(B) & v2_graph_2(B) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k10_xtuple_0(A) = k10_xtuple_0(B) ) => ( A = B | ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) & k1_funct_1(A,C) = k1_funct_1(B,C) ) ) ) ) ) ) )).
fof(t21_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : r1_tarski(k3_graph_3(A,B,C),k6_graph_3(A,B)) ) ) )).
fof(t21_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( ( v7_graph_1(C,A) & m2_graph_1(C,A) ) => ~ ( r3_graph_4(A,B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ! [F] : ( ( v7_graph_1(F,A) & v3_graph_2(F,A) & m2_graph_1(F,A) ) => ! [G] : ( m2_finseq_1(G,u1_struct_0(A)) => ~ ( k15_finseq_1(D) = F & k15_finseq_1(E) = G & r3_graph_4(A,G,F) & k1_funct_1(B,1) = k1_funct_1(G,1) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(G,k3_finseq_1(G)) ) ) ) ) ) ) ) ) ) )).
fof(t21_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u4_struct_0(A)) => ( r1_tarski(k10_xtuple_0(C),k10_xtuple_0(B)) => r1_tarski(k2_graph_5(A,C),k2_graph_5(A,B)) ) ) ) ) )).
fof(t21_graphsp,axiom,( ! [A] : ( m2_funct_2(A,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ! [B] : ( m2_finseq_2(B,k1_numbers,k3_finseq_2(k1_numbers)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k4_graphsp(k3_finseq_2(k1_numbers),k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),A),k5_numbers),B) = B ) ) ) ) )).
fof(t21_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l2_algstr_0(D) ) => ! [E] : ( ( v1_grcat_1(E) & m1_grcat_1(E,A,B) ) => ! [F] : ( ( v1_grcat_1(F) & m1_grcat_1(F,B,C) ) => ! [G] : ( ( v1_grcat_1(G) & m1_grcat_1(G,C,D) ) => k14_grcat_1(A,C,D,G,k14_grcat_1(A,B,C,F,E)) = k14_grcat_1(A,B,D,k14_grcat_1(B,C,D,G,F),E) ) ) ) ) ) ) ) )).
fof(t21_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( A = k1_xboole_0 => k2_funct_1(A) = k1_xboole_0 ) ) )).
fof(t21_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v1_grnilp_1(A) <=> ? [B] : ( m2_finseq_1(B,k2_grnilp_1(A)) & ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) & k1_funct_1(B,1) = k7_group_2(A) & k1_funct_1(B,k3_finseq_1(B)) = k6_group_2(A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(k2_xcmplx_0(C,1),k4_finseq_1(B)) ) => ! [D] : ( ( v15_algstr_0(D) & v1_group_3(D,A) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,A) & m1_group_2(E,A) ) => ( ( D = k1_funct_1(B,C) & E = k1_funct_1(B,k2_xcmplx_0(C,1)) ) => ( m1_group_6(E,A,D) & m1_group_6(k1_grnilp_1(A,D,k7_group_2(A)),A,E) ) ) ) ) ) ) ) ) ) )).
fof(t21_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( r2_groeb_1(A,B,C,D,E) => m2_rewrite1(k3_polyred(A,B,C,D),k3_polyred(A,B,C,E)) ) ) ) ) ) ) )).
fof(t21_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r8_pboole(k15_pre_poly(A),k3_groeb_2(A,B,C,D,E),k8_polynom1(A,C)) | r2_termord(A,B,k3_termord(A,B,C,k3_groeb_2(A,B,C,D,E)),k2_groeb_2(A,k3_termord(A,B,C,D),k3_termord(A,B,C,E))) ) ) ) ) ) ) )).
fof(t21_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k3_groeb_3(A,B,C,D,k5_numbers) = k1_xboole_0 & k4_groeb_3(A,B,C,D,k5_numbers) = k3_polynom1(k15_pre_poly(A),C,D) ) ) ) ) ) )).
fof(t21_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => r3_binop_1(u1_struct_0(A),k1_group_1(A),u2_algstr_0(A)) ) )).
fof(t21_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_group_2(D,A) => ( r1_tarski(B,C) => r1_tarski(k1_group_11(A,B,D),k1_group_11(A,C,D)) ) ) ) ) ) )).
fof(t21_group_14,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v1_prvect_1(B) ) => ~ ( k3_finseq_1(A) = k3_finseq_1(B) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r2_tarski(C,k4_finseq_1(B)) & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ~ ( D = k1_funct_1(A,C) & k1_funct_1(B,C) = k2_group_14(D) ) ) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_group_14(k19_rvsum_1(A))),u1_struct_0(k19_prvect_1(B))) & v13_vectsp_1(C,k2_group_14(k19_rvsum_1(A)),k19_prvect_1(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_14(k19_rvsum_1(A))),u1_struct_0(k19_prvect_1(B))))) ) => ~ ( v3_funct_2(C,u1_struct_0(k2_group_14(k19_rvsum_1(A))),u1_struct_0(k19_prvect_1(B))) & ! [D] : ( v1_int_1(D) => ( r2_hidden(D,u1_struct_0(k2_group_14(k19_rvsum_1(A)))) => k1_funct_1(C,D) = k1_int_6(D,A) ) ) ) ) ) ) ) )).
fof(t21_group_17,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k1_tarski(A)) & v1_funct_1(B) & v1_partfun1(B,k1_tarski(A)) & v1_group_7(B) & v2_group_7(B,k1_tarski(A)) & v3_group_7(B,k1_tarski(A)) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ~ ( B = k17_funcop_1(A,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(k2_group_7(k1_tarski(A),B))) & v1_group_6(D,C,k2_group_7(k1_tarski(A),B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(k2_group_7(k1_tarski(A),B))))) ) => ~ ( v3_funct_2(D,u1_struct_0(C),u1_struct_0(k2_group_7(k1_tarski(A),B))) & ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k3_funct_2(u1_struct_0(C),u1_struct_0(k2_group_7(k1_tarski(A),B)),D,E) = k17_funcop_1(A,E) ) ) ) ) ) ) )).
fof(t21_group_18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v7_ordinal1(C) => ~ ( k7_group_1(A) = k1_newton(B,C) & ! [D] : ( ( v7_ordinal1(D) & ~ v8_ordinal1(D) ) => ! [E] : ( ( v3_card_1(E,D) & m2_finseq_1(E,u1_struct_0(A)) ) => ! [F] : ( ( v3_card_1(F,D) & m2_finseq_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k2_finseq_1(D)) & v1_funct_1(G) & v1_partfun1(G,k2_finseq_1(D)) & v1_group_7(G) & v2_group_7(G,k2_finseq_1(D)) & v3_group_7(G,k2_finseq_1(D)) & v4_group_7(G,k2_finseq_1(D)) ) => ~ ( ! [H] : ( v7_ordinal1(H) => ~ ( r2_tarski(H,k2_finseq_1(D)) & ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ~ ( I = k1_funct_1(E,H) & k1_funct_1(G,H) = k5_group_4(A,k6_domain_1(u1_struct_0(A),I)) & k6_group_1(A,I) = k1_newton(B,k1_funct_1(F,H)) ) ) ) ) & ! [H] : ( v7_ordinal1(H) => ( ( r1_xxreal_0(1,H) & r1_xxreal_0(H,k6_xcmplx_0(D,1)) ) => r1_xxreal_0(k1_funct_1(F,H),k1_funct_1(F,k1_nat_1(H,1))) ) ) & ! [H] : ( m2_subset_1(H,k4_ordinal1,k2_finseq_1(D)) => ! [I] : ( m2_subset_1(I,k4_ordinal1,k2_finseq_1(D)) => ( H != I => k3_xboole_0(u1_struct_0(k1_group_7(k2_finseq_1(D),G,H)),u1_struct_0(k1_group_7(k2_finseq_1(D),G,I))) = k6_domain_1(u1_struct_0(A),k1_group_1(A)) ) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ? [I] : ( v1_relat_1(I) & v4_relat_1(I,k2_finseq_1(D)) & v5_relat_1(I,u1_struct_0(A)) & v1_funct_1(I) & v1_partfun1(I,k2_finseq_1(D)) & ! [J] : ( m2_subset_1(J,k4_ordinal1,k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D),G,J),k1_funct_1(I,J)) ) & H = k1_group_17(A,k2_finseq_1(D),I) ) ) & ! [H] : ( ( v1_relat_1(H) & v4_relat_1(H,k2_finseq_1(D)) & v5_relat_1(H,u1_struct_0(A)) & v1_funct_1(H) & v1_partfun1(H,k2_finseq_1(D)) ) => ! [I] : ( ( v1_relat_1(I) & v4_relat_1(I,k2_finseq_1(D)) & v5_relat_1(I,u1_struct_0(A)) & v1_funct_1(I) & v1_partfun1(I,k2_finseq_1(D)) ) => ( ( ! [J] : ( m2_subset_1(J,k4_ordinal1,k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D),G,J),k1_funct_1(H,J)) ) & ! [J] : ( m2_subset_1(J,k4_ordinal1,k2_finseq_1(D)) => r1_struct_0(k1_group_7(k2_finseq_1(D),G,J),k1_funct_1(I,J)) ) & k1_group_17(A,k2_finseq_1(D),H) = k1_group_17(A,k2_finseq_1(D),I) ) => r8_pboole(k2_finseq_1(D),H,I) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & v1_group_19(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_funct_2(A,u1_struct_0(B),C,k14_funct_7(A,u1_struct_0(B),k8_funcop_1(u1_struct_0(B),A,k1_group_1(B)),D,E)) => k5_group_19(A,B,C) = E ) ) ) ) ) ) )).
fof(t21_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_group_2(A,k7_domain_1(u1_struct_0(A),B,E),k7_domain_1(u1_struct_0(A),C,D)) = k9_domain_1(u1_struct_0(A),k6_algstr_0(A,B,C),k6_algstr_0(A,B,D),k6_algstr_0(A,E,C),k6_algstr_0(A,E,D)) ) ) ) ) ) )).
fof(t21_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k2_group_3(A,B,k2_group_1(A,B)) = B & k2_group_3(A,k2_group_1(A,B),B) = k2_group_1(A,B) ) ) ) )).
fof(t21_group_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k4_group_4(A,k6_finseq_1(k4_numbers),k6_finseq_1(u1_struct_0(A))) = k1_xboole_0 ) )).
fof(t21_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k2_group_5(A,B,k2_group_1(A,B)) = k1_group_1(A) & k2_group_5(A,k2_group_1(A,B),B) = k1_group_1(A) ) ) ) )).
fof(t21_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_group_6(A,B))) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & C = k13_group_2(A,B,D) & C = k14_group_2(A,B,D) ) ) ) ) )).
fof(t21_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v5_group_1(B) & l3_algstr_0(B) ) => ( v1_relat_1(k10_finseq_1(A,B)) & v4_relat_1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_funct_1(k10_finseq_1(A,B)) & v1_partfun1(k10_finseq_1(A,B),k2_tarski(1,2)) & v1_group_7(k10_finseq_1(A,B)) & v2_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) & v3_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) & v4_group_7(k10_finseq_1(A,B),k2_tarski(1,2)) ) ) ) )).
fof(t21_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ( v8_struct_0(A) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,B) => ! [D] : ( m1_group_2(D,B) => ! [E] : ( m1_group_2(E,C) => ( E = k10_group_2(B,C,D) => ! [F] : ( m1_group_2(F,D) => ( F = k10_group_2(B,C,D) => ! [G] : ( m1_group_2(G,B) => ( ( G = k10_group_2(B,C,D) & r1_int_2(k18_group_2(B,C),k18_group_2(B,D)) ) => ( k18_group_2(B,D) = k18_group_2(C,E) & k18_group_2(B,C) = k18_group_2(D,F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_group_9(C,A,B) => ( k17_group_9(A,B,k4_group_9(A,B),C) = k4_group_9(A,B) & k17_group_9(A,B,C,k4_group_9(A,B)) = k4_group_9(A,B) ) ) ) )).
fof(t21_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_group_3(C,B) & m1_group_2(C,B) ) => ! [D] : ( ( v1_group_3(D,B) & m1_group_2(D,B) ) => ~ ( v2_group_10(C,A) & v2_group_10(D,A) & ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,B) & m1_group_2(E,B) ) => ~ ( u1_struct_0(E) = k7_group_4(B,C,D) & v2_group_10(E,A) ) ) ) ) ) ) ) )).
fof(t21_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,D) & r1_gtarski1(A,C,D,E) ) => ( C = D | r4_gtarski1(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(t21_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v2_hahnban(C,B) & v3_hahnban(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D))))) => ( D = E => ( r1_struct_0(B,D) | ! [F] : ( v1_xreal_0(F) => ? [G] : ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k1_numbers) & v2_hahnban(G,k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))) & v3_hahnban(G,k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k1_numbers))) & k2_partfun1(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k1_numbers,G,u1_struct_0(B)) = C & k3_funct_2(u1_struct_0(k1_rlsub_2(A,B,k1_rlvect_3(A,k6_domain_1(u1_struct_0(A),D)))),k1_numbers,G,E) = F ) ) ) ) ) ) ) ) ) )).
fof(t21_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v5_hahnban1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => k3_funct_2(u1_struct_0(A),k1_numbers,B,k3_vectsp_1(k1_complfld,A,k1_hahnban1(k5_numbers,D),C)) = k3_xcmplx_0(D,k3_funct_2(u1_struct_0(A),k1_numbers,B,k3_vectsp_1(k1_complfld,A,k2_hahnban1,C))) ) ) ) ) ) )).
fof(t21_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( r2_tarski(C,k4_finseq_1(B)) => m2_hallmar1(k2_hallmar1(A,B,C,D),A,B) ) ) ) ) )).
fof(t21_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( v2_compts_1(B,k3_pcomps_1(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r1_xxreal_0(k3_metric_1(A,D,C),k1_funct_1(k5_weierstr(A,B),C)) ) ) ) ) ) ) )).
fof(t21_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v7_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( ( v7_ordinal1(D) & ~ v1_abian(D) ) => ( ( r1_xxreal_0(D,k3_finseq_1(B)) & r1_xxreal_0(D,k3_finseq_1(C)) & ! [E] : ( ( v7_ordinal1(E) & ~ v1_abian(E) ) => ( r1_xxreal_0(E,D) => k1_funct_1(B,E) = k1_funct_1(C,E) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,D) ) => k1_funct_1(B,E) = k1_funct_1(C,E) ) ) ) ) ) ) ) )).
fof(t21_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),k1_hermitan(A,k5_hahnban1(k1_complfld,A,B,C)),k5_hahnban1(k1_complfld,A,k1_hermitan(A,B),k1_hermitan(A,C))) ) ) ) )).
fof(t21_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k5_finsub_1(k7_normform(A)),k8_normform(A)) => k10_normform(A,B,k6_heyting1(A,B)) = k1_xboole_0 ) )).
fof(t21_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k4_partfun1(A,B)) => ( v1_finset_1(C) => ! [D] : ( r2_tarski(D,k3_funct_2(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B)),k8_heyting2(A,B),C)) => D = C ) ) ) ) )).
fof(t21_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ~ ( r2_tarski(C,k4_heyting3(k1_nat_1(A,1),B)) & ! [D] : ~ ( r2_tarski(D,k4_heyting3(A,B)) & r1_tarski(D,C) ) ) ) ) )).
fof(t21_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_taylor_1(D,B,C) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k26_valued_1(k1_numbers,k1_numbers,D,A),C),B),k26_valued_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(D,C),B),A)) ) ) ) ) ) )).
fof(t21_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_xxreal_0(k1_algseq_1(A,k11_polynom3(A,B,C)),k7_nat_d(k1_nat_1(k1_algseq_1(A,B),k1_algseq_1(A,C)),1)) ) ) ) )).
fof(t21_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A,B),k3_hilbert1(k3_hilbert1(B,C),k3_hilbert1(A,C))),k6_hilbert1) ) ) ) )).
fof(t21_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( k1_hilbert2(B) = k1_hilbert2(A) => B = A ) ) ) )).
fof(t21_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ( B = k1_xboole_0 => A = k1_xboole_0 ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => r1_tarski(k10_xtuple_0(k15_pralg_1(D,E)),C) ) ) ) )).
fof(t21_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( m1_trees_4(C,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r1_huffman1(A,B,C,D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_relat_1(F) & v5_relat_1(F,k1_huffman1) & v1_funct_1(F) & v1_finset_1(F) & v3_trees_2(F) & v2_bintree1(F) ) => ! [G] : ( m1_trees_1(G,k9_xtuple_0(F)) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(F)) => ! [I] : ( m1_trees_1(I,k9_xtuple_0(F)) => ( ( r2_tarski(F,k1_funct_1(C,E)) & r2_tarski(G,k6_subset_1(k9_xtuple_0(F),k3_trees_1(k9_xtuple_0(F)))) & H = k8_finseq_1(k4_ordinal1,G,k14_trees_3(k5_numbers)) & I = k8_finseq_1(k4_ordinal1,G,k14_trees_3(1)) ) => k7_huffman1(F,G) = k2_xcmplx_0(k7_huffman1(F,H),k7_huffman1(F,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k2_hurwitz(A,B) != k2_hurwitz(A,C) => k2_hurwitz(A,k1_normsp_1(A,B,C)) = k4_xxreal_0(k2_hurwitz(A,B),k2_hurwitz(A,C)) ) ) ) ) )).
fof(t21_hurwitz2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & ~ v1_ratfunc1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_hurwitz(A,k1_hurwitz2(A,B)) != k2_hurwitz(A,k2_hurwitz2(A,B)) ) ) )).
fof(t21_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k9_idea_1(C,A,B) = k9_idea_1(C,B,A) ) ) ) )).
fof(t21_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_subset_1(B,u1_struct_0(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( v1_gcd_1(C,A) & r2_tarski(C,B) ) ) ) ) ) )).
fof(t21_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ~ ( ! [E] : ( m1_subset_1(E,u4_incsp_1(A)) => ~ ( r3_incsp_1(A,B,E) & r3_incsp_1(A,C,E) & r3_incsp_1(A,D,E) ) ) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & r1_incsp_1(A,E,B) & r1_incsp_1(A,E,C) & r1_incsp_1(A,E,D) ) & B = C ) ) ) ) ) )).
fof(t21_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m5_index_1(B,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),u1_cat_1(A),k7_isocat_1(A)) => ! [C] : ( m4_index_1(C,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),B) => k13_index_1(A,C,k9_index_1(A,B,C)) = B ) ) ) )).
fof(t21_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,B) => ! [D] : ( l3_msualg_1(D,B) => ( g3_msualg_1(B,u3_msualg_1(B,C),u4_msualg_1(B,C)) = g3_msualg_1(B,u3_msualg_1(B,D),u4_msualg_1(B,D)) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( r3_pua2mss1(A,B,E,F) => k1_instalg1(A,B,C,E,F) = k1_instalg1(A,B,D,E,F) ) ) ) ) ) ) ) ) )).
fof(t21_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r2_int_1(A,B,C) <=> r2_int_1(k2_xcmplx_0(A,C),B,C) ) ) ) ) )).
fof(t21_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => r1_int_1(k3_int_2(A,B),A) ) ) )).
fof(t21_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & v1_int_2(A) & r1_int_2(A,B) & r1_nat_d(A,k4_nat_d(B,k1_newton(A,C))) ) ) ) ) )).
fof(t21_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ( k3_int_2(A,B) = 1 => ( r1_xxreal_0(B,2) | r1_int_5(A,B) | k5_int_1(k2_xcmplx_0(k1_newton(A,k3_nat_d(k7_nat_d(B,1),2)),1),B) = k5_numbers ) ) ) ) )).
fof(t21_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ( ( r1_int_2(C,D) & r2_int_1(A,B,C) & r2_int_1(A,B,D) ) => r2_int_1(A,B,k3_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t21_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( k1_group_1(k3_int_7(A)) = 1 & k1_group_1(k3_int_7(A)) = k5_struct_0(k9_int_3(A)) ) ) )).
fof(t21_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_int_2(B,C) & r1_int_2(A,k3_xcmplx_0(B,C)) ) => ( r1_xxreal_0(C,1) | r1_xxreal_0(B,1) | k3_pepin(A,k3_xcmplx_0(B,C)) = k5_nat_d(k3_pepin(A,B),k3_pepin(A,C)) ) ) ) ) ) )).
fof(t21_integr11,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( B = k1_rcomp_1(k5_numbers,k3_xcmplx_0(2,k28_sin_cos)) => k2_integra5(B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_taylor_1(A)),k18_sin_cos)) = k5_numbers ) ) ) )).
fof(t21_integr12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,D) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,D) => k1_funct_1(C,E) = 1 ) ) & r1_tarski(D,k2_rcomp_1(k4_xcmplx_0(1),1)) & D = k1_relset_1(k1_numbers,B) & r2_relset_1(k1_numbers,k1_numbers,B,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_sin_cos6,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2)),k4_taylor_1(k7_xcmplx_0(1,2)))))) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D),k1_sin_cos6),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D),k1_sin_cos6),k3_seq_4(A))) ) ) ) ) ) )).
fof(t21_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k22_sin_cos),k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k22_sin_cos),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k22_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t21_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k22_sin_cos),k3_rfunct_1(k1_numbers,k1_numbers,k16_sin_cos,k41_valued_1(k1_numbers,k1_numbers,k18_sin_cos)))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k22_sin_cos),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k22_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t21_integr15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( r2_tarski(C,k1_relset_1(B,k7_integr15(A,B,D,E))) => k7_partfun1(k1_euclid(A),k7_integr15(A,B,D,E),C) = k7_euclid(A,k7_partfun1(k1_euclid(A),D,C),k7_partfun1(k1_euclid(A),E,C)) ) ) ) ) )).
fof(t21_integr16,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,C)) & r1_integr16(B,C) & v1_comseq_2(k2_partfun1(k1_numbers,k2_numbers,C,B)) ) => ( r1_integr16(B,k25_valued_1(k1_numbers,k2_numbers,C,A)) & k7_integr16(B,k25_valued_1(k1_numbers,k2_numbers,C,A)) = k3_xcmplx_0(A,k7_integr16(B,C)) ) ) ) ) ) )).
fof(t21_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(C)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,D)) & r1_integr15(C,k3_integra5(A,B),D) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(C,k1_numbers,D)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(C),D,k3_integra5(A,B)),C) ) => r1_xxreal_0(k12_euclid(k12_integr15(A,B,C,D)),k4_integra5(A,B,k1_nfcont_4(C,k1_numbers,D))) ) ) ) ) ) )).
fof(t21_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & v3_lopban_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,D)) & r1_integr18(C,k3_integra5(A,B),D) & r1_integra5(k3_integra5(A,B),k4_normsp_0(k1_numbers,C,D)) & v1_integr19(k2_partfun1(k1_numbers,u1_struct_0(C),D,k3_integra5(A,B)),C,k1_numbers) ) => r1_xxreal_0(k2_normsp_0(C,k6_integr18(C,D,A,B)),k4_integra5(A,B,k4_normsp_0(k1_numbers,C,D))) ) ) ) ) ) )).
fof(t21_integra1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(A) = k3_finseq_1(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(A)) => k1_funct_1(C,D) = k3_real_1(k7_partfun1(k1_numbers,A,D),k7_partfun1(k1_numbers,B,D)) ) ) ) => k18_rvsum_1(C) = k2_xcmplx_0(k18_rvsum_1(A),k18_rvsum_1(B)) ) ) ) ) )).
fof(t21_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( m1_integra1(D,B) => ( ( v1_comseq_2(k2_partfun1(B,k1_numbers,C,B)) & r1_xxreal_0(k5_numbers,A) ) => r1_xxreal_0(k1_funct_1(k9_integra1(B,k26_valued_1(B,k1_numbers,C,A)),D),k3_xcmplx_0(k3_xcmplx_0(A,k2_seq_4(k1_rvsum_1(C))),k3_integra1(B))) ) ) ) ) ) )).
fof(t21_integra3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_integra1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_integra1(A)))) ) => ( ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) & v1_fdiff_1(k2_integra3(A,C),k5_numbers) & v9_ordinal1(k2_integra3(A,C)) ) => ( k3_integra1(A) = k5_numbers | ( v2_comseq_2(k3_integra2(A,B,C)) & k1_seq_2(k3_integra2(A,B,C)) = k10_integra1(A,B) ) ) ) ) ) ) )).
fof(t21_integra4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_relset_1(A,k1_numbers,k19_rfunct_3(A,B),k18_rfunct_3(A,k32_valued_1(A,k1_numbers,B))) ) ) )).
fof(t21_integra5,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r2_fdiff_1(B,D) & r2_fdiff_1(C,D) & r1_tarski(A,D) & r1_integra5(A,k2_fdiff_1(B,D)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_1(B,D),A)) & r1_integra5(A,k2_fdiff_1(C,D)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_1(C,D),A)) ) => k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k2_fdiff_1(B,D),C)) = k6_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(B,k2_seq_4(A)),k1_funct_1(C,k2_seq_4(A))),k3_xcmplx_0(k1_funct_1(B,k3_seq_4(A)),k1_funct_1(C,k3_seq_4(A)))),k2_integra5(A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k2_fdiff_1(C,D)))) ) ) ) ) ) )).
fof(t21_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_tarski(k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)),k9_xtuple_0(k56_valued_1(k1_numbers,k1_numbers,E))) & r1_integra5(k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)),k56_valued_1(k1_numbers,k1_numbers,E)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k56_valued_1(k1_numbers,k1_numbers,E),k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)))) & r1_xxreal_0(k9_complex1(k4_integra5(C,D,E)),k4_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D),k56_valued_1(k1_numbers,k1_numbers,E))) ) ) ) ) ) ) ) )).
fof(t21_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,A) & r1_tarski(k3_integra5(B,A),C) & r1_integra5(k3_integra5(B,A),D) & r1_integra5(k3_integra5(B,A),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,D,k3_integra5(B,A))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(B,A))) & r1_tarski(C,k1_relset_1(k1_numbers,D)) & r1_tarski(C,k1_relset_1(k1_numbers,E)) & r1_integra7(C,F,D) & r1_integra7(C,G,E) ) => k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(F,A),k1_funct_1(G,A)),k3_xcmplx_0(k1_funct_1(F,B),k1_funct_1(G,B))) = k2_xcmplx_0(k4_integra5(B,A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,G)),k4_integra5(B,A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,F,E))) ) ) ) ) ) ) ) )).
fof(t21_integra8,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_fdiff_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_funct_1(k32_valued_1(k1_numbers,k1_numbers,A)) & v2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,A)) & m1_subset_1(k32_valued_1(k1_numbers,k1_numbers,A),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) ) )).
fof(t21_integra9,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => r2_relset_1(D,k1_numbers,k20_valued_1(D,k1_numbers,k1_numbers,k1_integra5(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),D),k1_integra5(C,D)),k1_integra5(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,C),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)),D)) ) ) ) ) )).
fof(t21_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => r1_interva1(A,k4_interva1(A,B,C),k4_interva1(A,C,B)) ) ) ) )).
fof(t21_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B,A),k3_intpro_1(A,A)),k8_intpro_1) ) ) )).
fof(t21_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,k5_numbers) => ( v1_series_1(k3_irrat_1(A)) & k4_series_1(k3_irrat_1(A)) = k2_power(k2_xcmplx_0(1,k7_xcmplx_0(1,A)),A) & k4_series_1(k3_irrat_1(A)) = k1_funct_1(k4_irrat_1,A) ) ) ) )).
fof(t21_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( r1_nattra_1(A,B,D,E) => ! [F] : ( m1_nattra_1(F,A,B,D,E) => ! [G] : ( m2_cat_1(G,B,C) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_nattra_1(A,C,k9_cat_1(A,B,C,D,G),k9_cat_1(A,B,C,E,G),k2_isocat_1(A,B,C,D,E,F,G),H) = k9_cat_3(B,k8_cat_1(A,B,D,H),k8_cat_1(A,B,E,H),C,G,k2_nattra_1(A,B,D,E,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(t21_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => m2_cat_1(k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),E),B,C) ) ) ) ) ) )).
fof(t21_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tops_1(k1_isomichi(A,B),A) & k1_isomichi(A,B) = k7_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,B)),k2_pre_topc(A,k1_tops_1(A,B))) & k1_isomichi(A,B) = k9_subset_1(u1_struct_0(A),k1_tops_1(A,k2_pre_topc(A,B)),k1_tops_1(A,k2_pre_topc(A,k3_subset_1(u1_struct_0(A),B)))) ) ) ) )).
fof(t21_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_jgraph_1(u1_struct_0(k15_euclid(2)),A,B) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,D) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,C) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1)) = k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(C,1)) & k1_funct_1(A,D) = k1_funct_1(B,C) & k1_funct_1(A,k1_nat_1(D,1)) = k1_funct_1(B,k1_nat_1(C,1)) ) ) ) ) ) ) )).
fof(t21_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(B,A,k3_topmetr) & v5_pre_topc(C,A,k3_topmetr) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E) = F & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,E) = G ) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),D,E) = k6_xcmplx_0(F,G) ) ) ) ) & v5_pre_topc(D,A,k3_topmetr) ) ) ) ) ) ) )).
fof(t21_jgraph_3,axiom,( ? [A] : ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2))))) & r2_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),A,k1_jgraph_3) & v5_pre_topc(A,k15_euclid(2),k15_euclid(2)) ) )).
fof(t21_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D),k12_euclid(D)),A),k6_xcmplx_0(1,A))))))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k17_euclid(D),k5_numbers) & r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(D),k12_euclid(D))) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(1,A) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t21_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(k5_numbers,k18_euclid(B)) & r1_xxreal_0(k5_numbers,k18_euclid(C)) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | k12_euclid(B) = k5_numbers | k12_euclid(C) = k5_numbers | r1_xxreal_0(k7_xcmplx_0(k17_euclid(C),k12_euclid(C)),k7_xcmplx_0(k17_euclid(B),k12_euclid(B))) | ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k5_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k5_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k17_euclid(E),k12_euclid(E)),k7_xcmplx_0(k17_euclid(D),k12_euclid(D))) ) ) ) ) ) ) ) ) )).
fof(t21_jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),A)),u1_struct_0(k1_pre_topc(k15_euclid(2),B))))) ) => ~ v3_tops_2(C,k1_pre_topc(k15_euclid(2),A),k1_pre_topc(k15_euclid(2),B)) ) | v1_topreal2(B) ) ) ) ) )).
fof(t21_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k17_euclid(C) = F & k17_euclid(D) = F & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(B),H) & r1_xxreal_0(G,k18_euclid(D)) & r1_xxreal_0(k18_euclid(C),H) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k18_euclid(C),k18_euclid(D)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_jordan,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(C))) => ( ~ r1_xxreal_0(B,A) => r1_tarski(k2_topreal9(C,D,A),k1_topreal9(C,D,B)) ) ) ) ) ) )).
fof(t21_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_pre_topc(a_1_1_jordan1(A),k15_euclid(2)) & m1_subset_1(a_1_1_jordan1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(t21_jordan10,axiom,( ! [A] : ( ( v2_connsp_1(A,k15_euclid(2)) & v2_compts_1(A,k15_euclid(2)) & ~ v1_sppol_1(A) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k6_setfam_1(u1_struct_0(k15_euclid(2)),k4_jordan10(A)) = k4_subset_1(u1_struct_0(k15_euclid(2)),A,k1_jordan2c(2,A)) ) )).
fof(t21_jordan12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => v1_convex1(k5_goboard5(A,B),k15_euclid(2)) ) ) ) )).
fof(t21_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_jordan1h(A,B) => r1_tarski(k3_topreal1(2,k1_jordan13(A,B)),k1_jordan2c(2,A)) ) ) ) )).
fof(t21_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k1_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_topreal1(2,k2_jordan1e(B,A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k9_jordan6(B)) ) ) ) ) ) ) )).
fof(t21_jordan16,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r1_jordan5c(A,B,C,D,E) ) => ( D = E | r1_topreal1(k15_euclid(2),D,E,k5_jordan6(A,B,C,D,E)) ) ) ) ) ) ) ) )).
fof(t21_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan17(A,B,C,D,E) & r1_jordan17(A,C,B,D,E) ) => ( B = D | B = E | C = E | B = C ) ) ) ) ) ) ) )).
fof(t21_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => v2_sppol_1(k1_rltopsp1(k15_euclid(2),k1_jordan18(A,B),k2_jordan18(A,B))) ) ) )).
fof(t21_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(C,1) & r1_xxreal_0(C,D) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),D) & r1_xxreal_0(1,E) & r1_xxreal_0(E,F) & r1_xxreal_0(F,k1_matrix_0(k1_jordan8(B,A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k9_jordan6(B)) ) ) ) ) ) ) ) )).
fof(t21_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_matrix_0(B)) ) => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,1,A)),k6_pscomp_1(k3_topreal1(2,C))) ) ) ) ) )).
fof(t21_jordan1b,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(A)) & r2_tarski(E,k3_goboard5(A,k3_finseq_1(A),B)) & k17_euclid(E) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,D)) ) => ( r1_xxreal_0(k1_matrix_0(A),B) | k3_finseq_1(A) = C ) ) ) ) ) ) ) )).
fof(t21_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r2_tarski(A,k1_jordan2c(2,B)) & k18_euclid(A) = k9_pscomp_1(k1_jordan2c(2,B)) ) ) ) )).
fof(t21_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & k20_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,k1_matrix_0(k1_jordan8(B,A))) ) ) ) )).
fof(t21_jordan1e,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k1_jordan9(B,A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),C) = k24_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) ) => k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),k1_nat_1(C,1))) = k9_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) ) ) ) ) )).
fof(t21_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k4_finseq_4(k1_jordan1e(B,A),k19_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))),k4_finseq_4(k1_jordan1e(B,A),k20_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))))) ) ) )).
fof(t21_jordan1h,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) ) => k2_gobrd13(B,k2_goboard2(B),A) = k5_goboard5(B,A) ) ) ) )).
fof(t21_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k18_pscomp_1(k3_topreal1(2,A)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & r2_hidden(k4_tarski(D,k1_nat_1(E,1)),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,k1_nat_1(E,1)) ) ) ) ) ) ) ) )).
fof(t21_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k18_pscomp_1(B),A) ) => k18_pscomp_1(A) = k18_pscomp_1(B) ) ) ) )).
fof(t21_jordan1k,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k1_topreal6(2,k3_rlvect_1(k15_euclid(2),B,A),k3_rlvect_1(k15_euclid(2),C,A)) = k1_topreal6(2,B,C) ) ) ) )).
fof(t21_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) ) => ( C = D | r1_topreal1(k15_euclid(2),D,C,k5_jordan6(A,B,C,D,C)) ) ) ) ) ) ) )).
fof(t21_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)),k8_jordan6(A),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)))) & ~ v1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k8_jordan6(A),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2))))) ) ) )).
fof(t21_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k1_jordan21(k3_topreal1(2,k1_jordan9(A,B))) = k1_jordan21(k8_jordan6(k3_topreal1(2,k1_jordan9(A,B)))) ) ) ) )).
fof(t21_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) => r1_tarski(k3_topreal1(2,k2_jordan3(A,B)),k3_topreal1(2,A)) ) ) ) )).
fof(t21_jordan2b,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_rlvect_1(k15_euclid(1),k1_jordan2b(A),B) = k1_jordan2b(k3_xcmplx_0(B,A)) ) ) )).
fof(t21_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => m1_connsp_3(k2_jordan2c(A,B),k1_pre_topc(k15_euclid(A),k3_subset_1(u1_struct_0(k15_euclid(A)),B))) ) ) )).
fof(t21_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( v2_topreal1(A) & v3_topreal1(A) & r2_tarski(B,k3_topreal1(2,A)) ) => ( B = k1_funct_1(A,k1_nat_1(k1_jordan3(A,B),1)) | k1_nat_1(k1_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)),A),B),k1_jordan3(A,B)) = k3_finseq_1(A) ) ) ) ) )).
fof(t21_jordan4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k1_jordan4(k7_nat_d(k3_finseq_1(A),1),A) = k7_nat_d(k3_finseq_1(A),1) ) )).
fof(t21_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xboole_0(A,B) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),A,B),k15_euclid(2)) & r1_topreal1(k15_euclid(2),C,D,A) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(2)),A,B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) & ? [G] : ( v1_xreal_0(G) & v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D & k1_funct_1(F,G) = E & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) & ! [H] : ( v1_xreal_0(H) => ~ ( r1_xxreal_0(k5_numbers,H) & ~ r1_xxreal_0(G,H) & r2_tarski(k1_funct_1(F,H),B) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & v2_funct_1(A) ) => k4_jordan3(A,B,B) = k13_matrix_0(u1_struct_0(k15_euclid(2)),B) ) ) ) )).
fof(t21_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & v4_topreal1(A) & r2_tarski(k1_jordan5c(k3_topreal1(2,A),k2_topreal1(2,A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),k2_topreal1(2,A,B)) ) => k1_jordan5c(k3_topreal1(2,A),k2_topreal1(2,A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) ) ) ) )).
fof(t21_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_1_jordan5d(A) => k3_seq_4(B) = k1_pscomp_1(k1_pre_topc(k15_euclid(2),k16_pscomp_1(k3_topreal1(2,A))),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k16_pscomp_1(k3_topreal1(2,A)))) ) ) ) )).
fof(t21_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => k3_jordan6(A,B,C,B) = k1_tarski(B) ) ) ) ) )).
fof(t21_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k1_matrix_0(C)) & r2_tarski(D,k9_matrix_0(C)) & r2_tarski(D,k3_goboard5(C,A,B)) ) => r1_sppol_1(2,D,k3_goboard5(C,A,B)) ) ) ) ) ) )).
fof(t21_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) ) => r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,C),A) ) ) ) ) )).
fof(t21_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_abian(u1_struct_0(A),C,B) ) ) ) )).
fof(t21_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(B) => k4_kurato_0(A,B) = k1_kurato_0(A,B) ) ) )).
fof(t21_kurato_1,axiom,( k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k6_kurato_1)))))) = k4_rcomp_1(k2_xxreal_0,4) )).
fof(t21_kurato_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(A)))))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) & v3_toprns_1(D,A) & ! [E] : ( v7_ordinal1(E) => r2_tarski(k8_nat_1(u1_struct_0(k15_euclid(A)),D,E),k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))),B,E)) ) & C = k6_toprns_1(A,D) ) => r2_tarski(C,k1_kurato_2(k15_euclid(A),B)) ) ) ) ) )).
fof(t21_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(k1_nat_1(A,1))) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(E,k2_finseq_1(k1_nat_1(A,1))) & k1_funct_1(B,E) = F ) => k11_matrix_1(C,k1_nat_1(A,1),D,B) = k8_group_1(C,k1_laplace(C,k4_group_1(C),k4_algstr_0(C,k1_group_1(C)),k2_xcmplx_0(E,F)),k11_matrix_1(C,A,D,k4_laplace(E,A,B))) ) ) ) ) ) ) ) )).
fof(t21_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_group_3(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_group_3(A))) ) => ( C = k1_tarski(B) => k2_latsubgr(A,C) = B ) ) ) ) )).
fof(t21_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ! [D] : ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) & r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B))) & r2_tarski(D,u1_struct_0(A)) ) => r2_tarski(C,u1_struct_0(A)) ) ) ) )).
fof(t21_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,B,k2_lattices(A,C,B)) = B ) ) ) )).
fof(t21_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) )).
fof(t21_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattice3(A,B,k7_domain_1(u1_struct_0(A),C,D)) <=> r3_lattices(A,B,k4_lattices(A,C,D)) ) ) ) ) ) )).
fof(t21_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))) = k4_lattices(A,k2_lattice4(A,B),C) ) ) ) )).
fof(t21_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k8_lattice5(A,k5_numbers) = A ) )).
fof(t21_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_lattice6(B,A) => v4_lattice6(B,A) ) ) ) )).
fof(t21_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ! [D] : ( v3_ordinal1(D) => ( r1_ordinal1(C,D) => r1_tarski(k3_lattice8(A,C),k3_lattice8(A,D)) ) ) ) ) ) )).
fof(t21_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( ( ~ v1_xboole_0(D) & v18_lattices(D,A) & v21_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( ~ ( v2_filter_2(D,A) & r2_tarski(B,D) & ~ r2_tarski(C,D) ) & ~ ( ~ r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) ) ) )).
fof(t21_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_lattices(A,k7_lattices(A,B),B) = k6_lattices(A) ) ) )).
fof(t21_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(k39_glib_000(B),D) & ~ r1_xxreal_0(C,D) & ~ ( r2_tarski(k6_lexbfs(A,B,D),k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & k1_recdef_1(k5_lexbfs(A,B,C),k6_lexbfs(A,B,D)) = k7_nat_d(k39_glib_000(B),D) ) ) ) ) ) ) )).
fof(t21_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_lfuzzy_0(A))) => k12_lattice3(k4_lfuzzy_0(A),B,C) = k1_fuzzy_1(A,k5_lfuzzy_0(A,B),k5_lfuzzy_0(A,C)) ) ) ) )).
fof(t21_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ( v2_lfuzzy_1(C,A) & r1_fuzzy_1(C,B) ) => r1_fuzzy_1(C,k1_lfuzzy_1(k2_zfmisc_1(A,A),B,k1_fuzzy_4(A,A,B))) ) ) ) ) )).
fof(t21_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k1_funct_1(A,B) = k4_xcmplx_0(B) ) => v2_limfunc1(A) ) ) )).
fof(t21_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc2(C,B) => ( r1_xxreal_0(A,k5_numbers) | r2_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r2_limfunc2(C,B) => ( r1_xxreal_0(k5_numbers,A) | r3_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r3_limfunc2(C,B) => ( r1_xxreal_0(A,k5_numbers) | r3_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r3_limfunc2(C,B) => ( r1_xxreal_0(k5_numbers,A) | r2_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) ) ) ) ) )).
fof(t21_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_xtuple_0(B)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k9_xtuple_0(B)) ) ) ) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) & ~ v1_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & ~ v1_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) ) ) | r2_limfunc3(B,A) ) ) ) ) )).
fof(t21_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ( r1_lmod_6(A,B,C) => r1_lmod_6(A,B,k2_vectsp_4(A,C)) ) ) ) ) )).
fof(t21_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( k18_lmod_7(A,B,E,C) = k18_lmod_7(A,B,E,D) <=> r1_struct_0(E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) )).
fof(t21_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k4_struct_0(B) ) => v2_lopban_1(C,A,B) ) ) ) ) )).
fof(t21_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k5_struct_0(k7_lopban_2(A)) = k6_lopban_2(A) ) )).
fof(t21_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,C,D) = k1_normsp_0(A,B,k5_numbers) ) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k1_bhsp_4(A,k1_valued_0(u1_struct_0(A),B,1)),k2_normsp_1(A,k1_valued_0(u1_struct_0(A),k1_bhsp_4(A,B),1),C)) ) ) ) ) )).
fof(t21_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k8_nat_1(u1_struct_0(A),k1_lopban_4(A,C),k5_numbers) = k5_struct_0(A) & k8_nat_1(u1_struct_0(A),k5_lopban_4(k5_numbers,A,C,B),k5_numbers) = k5_struct_0(A) ) ) ) ) )).
fof(t21_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_funct_1(k8_lopclset(A),k3_lattices(A,B,C)) = k2_xboole_0(k1_funct_1(k8_lopclset(A),B),k1_funct_1(k8_lopclset(A),C)) ) ) ) )).
fof(t21_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_lpspacc1(A,B,C))) => ( D = E => ( k3_rlvect_1(k14_lpspacc1(A,B,C),E,k1_clvect_1(k14_lpspacc1(A,B,C),E,k4_xcmplx_0(k6_complex1))) = k2_partfun1(A,k2_numbers,k8_funcop_1(k2_numbers,A,k5_complex1),k1_relset_1(A,D)) & ? [F] : ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & ? [G] : ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) & r2_tarski(F,k13_lpspacc1(A,B,C)) & r2_tarski(G,k13_lpspacc1(A,B,C)) & F = k3_rlvect_1(k14_lpspacc1(A,B,C),E,k1_clvect_1(k14_lpspacc1(A,B,C),E,k4_xcmplx_0(k6_complex1))) & r2_relset_1(A,k2_numbers,G,k8_funcop_1(k2_numbers,A,k5_complex1)) & r1_lpspacc1(A,B,C,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t21_lpspace1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_rfunct_3(C,B,k1_numbers,k3_rfunct_3(B,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,B,k1_numbers,k3_rfunct_3(B,k1_numbers)) => k1_binop_1(k3_lpspace1(B),k1_binop_1(k4_lpspace1(B),A,C),D) = k1_binop_1(k4_lpspace1(B),A,k2_lpspace1(B,k1_numbers,k3_lpspace1(B),C,D)) ) ) ) ) )).
fof(t21_lpspace2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => r1_xxreal_0(k2_power(k9_complex1(k2_xcmplx_0(A,B)),C),k3_xcmplx_0(k2_power(2,C),k2_xcmplx_0(k2_power(k9_complex1(A),C),k2_power(k9_complex1(B),C)))) ) ) ) ) )).
fof(t21_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => k3_funct_2(k2_zfmisc_1(k4_ordinal1,k1_hilbert1),k5_margrel1,k11_ltlaxio1(D),k1_domain_1(k4_ordinal1,k1_hilbert1,C,k3_hilbert1(k4_hilbert1(A,B),k2_ltlaxio1(k7_ltlaxio1(B))))) = 1 ) ) ) ) )).
fof(t21_ltlaxio2,axiom,( ! [A] : ( m2_finseq_1(A,k1_hilbert1) => ! [B] : ( m2_finseq_1(B,k1_hilbert1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_hilbert1,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_hilbert1,k5_margrel1))) ) => ( k2_relset_1(k1_hilbert1,A) = k2_relset_1(k1_hilbert1,B) => k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(A),k3_finseq_1(k2_ltlaxio2(A)))) = k3_funct_2(k1_hilbert1,k5_margrel1,k12_ltlaxio1(C),k7_partfun1(k1_hilbert1,k2_ltlaxio2(B),k3_finseq_1(k2_ltlaxio2(B)))) ) ) ) ) )).
fof(t21_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_hilbert1)) => ( r2_tarski(k5_ltlaxio1(A,B),k5_ltlaxio3(C)) => ( r2_tarski(A,k5_ltlaxio3(C)) & r2_tarski(B,k5_ltlaxio3(C)) ) ) ) ) ) )).
fof(t21_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(C))) & r2_tarski(D,k9_ltlaxio4(C)) ) => r2_tarski(k1_ltlaxio2(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(D))) ) ) ) ) ) )).
fof(t21_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A,B,C),k4_cqc_the1(A)) & r2_hidden(B,k4_cqc_the1(A)) ) => r2_hidden(D,k4_cqc_the1(A)) ) ) ) ) ) )).
fof(t21_margrel1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) ) => k3_xboole_0(k4_finseq_2(A,B),k4_finseq_2(A,C)) = k4_finseq_2(A,C) ) ) ) )).
fof(t21_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_mathmorp(A,k4_struct_0(A),B) = B ) ) )).
fof(t21_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,A,A) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( v1_matrix10(B) & v2_matrix10(C) ) => v2_matrix10(k5_matrix10(A,C,B)) ) ) ) ) )).
fof(t21_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ? [C] : ( m2_finseq_1(C,u1_struct_0(k10_matrix_1(A))) & B = k3_group_4(k10_matrix_1(A),C) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(C)) & ! [E] : ( m1_matrix_1(E,k9_matrix_1(A)) => ~ ( k1_funct_1(C,D) = E & v5_matrix_1(E,k8_matrix_1(k9_matrix_1(A))) ) ) ) ) ) ) ) )).
fof(t21_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ( ( r2_tarski(B,k4_finseq_1(k3_matrix_1(D,C))) & r2_tarski(A,k4_finseq_1(k3_matrix_1(D,C))) ) => ( r1_xxreal_0(C,k5_numbers) | k1_matrix_6(C,D,k4_matrix12(C,C,D,k3_matrix_1(D,C),B,A)) = k4_matrix12(C,C,D,k3_matrix_1(D,C),B,A) ) ) ) ) ) ) )).
fof(t21_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(C,k4_ordinal1)) => ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(B,k4_ordinal1)) => ( ( C = 1 & B = 1 ) => k1_matrix13(A,D,C,B,E,F) = k2_matrlin(A,k13_matrix_0(A,k3_matrix_0(A,D,k1_funct_1(E,1),k1_funct_1(F,1)))) ) ) ) ) ) ) ) )).
fof(t21_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k13_fvsum_1(A,k2_matrix14(A,k3_finseq_1(B)),B) = k4_struct_0(A) ) ) )).
fof(t21_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(B) = k8_matrix13(A,B) ) => k8_matrix13(A,B) = k8_matrix13(A,k7_matrlin(u1_struct_0(A),B,C)) ) ) ) ) )).
fof(t21_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v3_matrix16(C,u1_struct_0(B)) & v3_matrix16(D,u1_struct_0(B)) ) => v3_matrix16(k3_matrix_3(B,C,D),u1_struct_0(B)) ) ) ) ) ) )).
fof(t21_matrix_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(A)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) => k3_matrix_0(A,B,D,E) = k3_matrix_0(A,C,D,E) ) ) ) ) => B = C ) ) ) ) )).
fof(t21_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k4_matrix_3(A,k15_matrix_0(u1_struct_0(A),B,D,F,H),k15_matrix_0(u1_struct_0(A),C,E,G,I)) = k15_matrix_0(u1_struct_0(A),k3_rlvect_1(A,k8_group_1(A,B,C),k8_group_1(A,D,G)),k3_rlvect_1(A,k8_group_1(A,B,E),k8_group_1(A,D,I)),k3_rlvect_1(A,k8_group_1(A,F,C),k8_group_1(A,H,G)),k3_rlvect_1(A,k8_group_1(A,F,E),k8_group_1(A,H,I))) ) ) ) ) ) ) ) ) ) )).
fof(t21_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) ) => B = k1_matrix_4(A,k3_matrix_3(A,B,C),C) ) ) ) ) )).
fof(t21_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ! [C] : ( v1_xcmplx_0(C) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) ) => k7_matrix_5(C,k3_matrix_5(A,B)) = k3_matrix_5(k7_matrix_5(C,A),k7_matrix_5(C,B)) ) ) ) ) )).
fof(t21_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => v2_matrix_6(k11_matrix_0(u1_struct_0(B),A,A,C),A,B) ) ) ) )).
fof(t21_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => k4_matrix_7(A,k6_finseq_1(u1_struct_0(A))) = k6_finseq_1(u1_struct_0(A)) ) )).
fof(t21_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_6(C,A,B) & k4_matrix_3(B,D,C) = k2_matrix_1(B,A) ) => D = k2_matrix_1(B,A) ) ) ) ) ) )).
fof(t21_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),3,3) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ( K = k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A))),k3_finseq_4(u1_struct_0(A),B,C,D),k3_finseq_4(u1_struct_0(A),E,F,G),k3_finseq_4(u1_struct_0(A),H,I,J)) => ! [L] : ( m1_matrix_1(L,k9_matrix_1(3)) => ( L = k3_finseq_4(k4_ordinal1,3,2,1) => k10_matrix_3(3,A,K,L) = k3_finseq_4(u1_struct_0(A),D,F,H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) & ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k9_matrix_5(B,C) = k9_matrix_5(A,C) ) ) ) ) )).
fof(t21_matrixj1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrixj1(C,B) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(B))) ) => k11_matrixj1(B,k6_matrixj1(B,A,C)) = k17_finseq_1(k4_ordinal1,A,k11_matrixj1(B,C)) ) ) ) )).
fof(t21_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( m2_finseq_1(D,u1_struct_0(C)) => ( r2_tarski(k3_finseq_1(D),k4_finseq_1(D)) => k4_rlvect_1(C,k5_matrlin(A,C,k7_matrix_0(u1_struct_0(A),k2_matrixj2(A,B,k3_finseq_1(D)),k3_finseq_1(D)),D)) = k3_vectsp_1(A,C,B,k7_partfun1(u1_struct_0(C),D,k3_finseq_1(D))) ) ) ) ) ) )).
fof(t21_matrixr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ~ ( k1_matrix_0(B) = k3_finseq_1(C) & ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ~ ( k3_finseq_1(D) = k3_finseq_1(B) & k1_matrix_0(D) = k1_matrix_0(C) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) => k3_matrix_0(u1_struct_0(A),D,E,F) = k13_fvsum_1(A,k7_matrix_0(u1_struct_0(A),B,E),k8_matrix_0(u1_struct_0(A),C,F)) ) ) ) ) ) ) ) ) ) )).
fof(t21_matrixr2,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) & k1_matrix_0(C) = k3_finseq_1(A) ) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | r1_xxreal_0(k3_finseq_1(A),k5_numbers) | k6_matrixr1(C,k5_matrixr1(A,B)) = k5_matrixr1(k6_matrixr1(C,A),k6_matrixr1(C,B)) ) ) ) ) ) )).
fof(t21_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [F] : ! [G] : ( m2_finseq_1(G,u1_struct_0(B)) => ( ( r1_tarski(k10_xtuple_0(G),F) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) & ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ( r2_tarski(H,F) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,H) = k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,H) ) ) ) => k3_funct_2(u1_struct_0(B),u1_struct_0(C),D,k4_rlvect_1(B,G)) = k3_funct_2(u1_struct_0(B),u1_struct_0(C),E,k4_rlvect_1(B,G)) ) ) ) ) ) ) ) )).
fof(t21_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => k3_finseq_1(C) = k1_vectsp_9(A,B) ) ) ) )).
fof(t21_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_pre_topc(B,A) <=> k4_card_1(B) = k4_matroid0(A,B) ) ) ) )).
fof(t21_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( ~ r1_xxreal_0(k1_matrix_0(A),k5_numbers) => k3_matrprob(A) = k4_matrprob(k4_matrix_0(k1_numbers,A)) ) ) )).
fof(t21_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_funct_1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(A))) ) => ( v1_rlvect_3(k2_relset_1(u1_struct_0(k15_euclid(A)),B),k15_euclid(A)) => ! [C] : ( m1_matrlin(C,k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A)) => ( C = k11_matrix13(k2_vectsp_1,A,A,k3_matrix_1(k2_vectsp_1,A)) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ( ( v1_matrix_6(D,A,k2_vectsp_1) & k17_finseq_1(k3_finseq_2(u1_struct_0(k2_vectsp_1)),k3_finseq_1(B),D) = B ) => k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k3_matrtop1(A,A,D),k2_struct_0(k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A),k2_relset_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)),k17_finseq_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)),k3_finseq_1(B),C))))) = k2_struct_0(k1_rlvect_3(k15_euclid(A),k2_relset_1(u1_struct_0(k15_euclid(A)),B))) ) ) ) ) ) ) ) )).
fof(t21_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(D))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,A,B,C)),E),B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E,B),k19_sin_cos(A)),k3_xcmplx_0(k1_funct_1(E,C),k4_xcmplx_0(k17_sin_cos(A)))) ) ) ) ) ) ) ) )).
fof(t21_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_algstr_0(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B),C),C) = k1_rlvect_1(A,k5_algstr_0(A,B,C),2) ) ) ) )).
fof(t21_mboolean,axiom,( ! [A] : r6_pboole(A,k2_mboolean(A,k1_pboole(A)),k1_pboole(A)) )).
fof(t21_mcart_1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( r2_hidden(A,B) => A = k4_tarski(k1_xtuple_0(A),k2_xtuple_0(A)) ) ) )).
fof(t21_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ~ v1_xboole_0(k7_setfam_1(A,B)) & v4_card_3(k7_setfam_1(A,B)) & m1_subset_1(k7_setfam_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) )).
fof(t21_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(B,D,k5_numbers) = k8_nat_1(B,C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ( k8_nat_1(B,D,k1_nat_1(E,1)) = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(E,1)),k8_nat_1(B,C,E)) & r1_tarski(k8_nat_1(B,C,E),k8_nat_1(B,C,k1_nat_1(E,1))) ) ) ) => ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & v1_prob_2(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) ) ) ) ) )).
fof(t21_measure6,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( v3_membered(B) => ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,k9_member_1(B,A)) <=> ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(D,B) & r2_hidden(E,A) & C = k2_xcmplx_0(D,E) ) ) ) ) ) ) )).
fof(t21_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v2_finsub_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_measure8(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k1_partfun1(k4_ordinal1,k9_setfam_1(A),B,k6_numbers,C,D)) & v1_funct_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),B,k6_numbers,C,D),k4_ordinal1,k6_numbers) & m1_subset_1(k1_partfun1(k4_ordinal1,k9_setfam_1(A),B,k6_numbers,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) ) ) )).
fof(t21_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ( r2_hidden(B,A) => r2_hidden(k5_xxreal_3(B),k6_member_1(A)) ) ) ) )).
fof(t21_membered,axiom,( ! [A] : ! [B] : ( v3_membered(B) => ( r1_tarski(A,B) => v3_membered(A) ) ) )).
fof(t21_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( k7_memstr_0(A,B,k2_xcmplx_0(C,E)) = k7_memstr_0(A,B,k2_xcmplx_0(D,E)) <=> k7_memstr_0(A,B,C) = k7_memstr_0(A,B,D) ) ) ) ) ) ) )).
fof(t21_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),C,G)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,H)),k1_rlvect_1(k15_euclid(2),A,H)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,I)),k1_rlvect_1(k15_euclid(2),B,I)) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | G = 1 | H = 1 | I = 1 | k2_xcmplx_0(k6_xcmplx_0(1,H),k3_xcmplx_0(G,H)) = k5_numbers | k2_xcmplx_0(k6_xcmplx_0(1,G),k3_xcmplx_0(I,G)) = k5_numbers | k2_xcmplx_0(k6_xcmplx_0(1,I),k3_xcmplx_0(H,I)) = k5_numbers | ( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(G,k6_xcmplx_0(1,G)),k7_xcmplx_0(H,k6_xcmplx_0(1,H))),k7_xcmplx_0(I,k6_xcmplx_0(1,I))) = 1 <=> ? [J] : ( m1_subset_1(J,u1_struct_0(k15_euclid(2))) & r1_rltopsp1(k15_euclid(2),A,D,J) & r1_rltopsp1(k15_euclid(2),B,E,J) & r1_rltopsp1(k15_euclid(2),C,F,J) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_mesfun10,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(B,A,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( m1_subset_1(E,C) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( E = k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,k5_numbers)) & ! [G] : ( v7_ordinal1(G) => r1_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,G)) ) & r1_mesfun10(A,B,F) ) => ( r1_xxreal_0(k1_supinf_1,k12_supinf_2(D,E)) | ( r1_mesfunc5(A,C,D,F) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k4_ordinal1,k6_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) & ! [H] : ( v7_ordinal1(H) => k12_supinf_2(G,H) = k7_mesfunc5(A,C,D,k4_mesfunc5(A,k6_numbers,B,H)) ) & v10_mesfunc5(G) & k2_mesfunc5(G) = k7_mesfunc5(A,C,D,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( k12_supinf_2(C,E) = k5_numbers => ( ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k1_relset_1(A,D) & r1_mesfun6c(A,B,D,F) ) ) | ( r2_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,E)) & k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,E)) = k5_numbers ) ) ) ) ) ) ) ) )).
fof(t21_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,C,E),D) ) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,D) => v2_comseq_2(k10_seqfunc(A,C,E)) ) ) ) => r1_mesfunc1(A,B,k8_mesfun7c(A,C),D) ) ) ) ) ) )).
fof(t21_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => r2_funct_2(k4_ordinal1,k4_partfun1(A,k1_numbers),k11_mesfun7c(A,k1_mesfun9c(A,k2_numbers,C,B)),k1_mesfun9c(A,k1_numbers,k11_mesfun7c(A,C),B)) ) ) )).
fof(t21_mesfunc1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => ! [E] : ! [F] : ( v1_xreal_0(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => k8_nat_1(C,D,G) = k9_subset_1(A,E,k15_mesfunc1(A,B,k6_xcmplx_0(F,k2_extreal1(1,k1_nat_1(G,1))))) ) => k9_subset_1(A,E,k14_mesfunc1(A,B,F)) = k2_measure2(A,C,k1_measure3(A,C,D)) ) ) ) ) ) )).
fof(t21_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( k12_supinf_2(k2_mesfunc2(A,B),C) = k2_supinf_2(k12_supinf_2(B,C)) => k12_supinf_2(k1_mesfunc2(A,B),C) = k1_supinf_2 ) ) ) ) )).
fof(t21_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ! [D] : ( r2_tarski(D,k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C))) => ( r1_xxreal_0(k12_supinf_2(C,D),k12_supinf_2(B,D)) & ~ r1_xxreal_0(k12_supinf_2(C,D),k2_supinf_1) & ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(B,D)) ) ) => v6_supinf_2(k4_mesfunc1(A,B,C)) ) ) ) ) )).
fof(t21_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( v1_xreal_0(E) => ( ( r1_mesfunc6(A,B,C,D) & r1_tarski(D,k1_relset_1(A,C)) ) => r1_mesfunc6(A,B,k26_valued_1(A,k1_numbers,C,E),D) ) ) ) ) ) ) )).
fof(t21_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( r2_tarski(D,k1_relset_1(A,k9_mesfunc1(A,k3_mesfunc1(A,B,C)))) => r1_xxreal_0(k12_supinf_2(k9_mesfunc1(A,k3_mesfunc1(A,B,C)),D),k12_supinf_2(k3_mesfunc1(A,k9_mesfunc1(A,B),k9_mesfunc1(A,C)),D)) ) ) ) ) )).
fof(t21_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),D,F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k17_mesfunc1(A,k4_mesfunc5(A,k6_numbers,k4_mesfunc8(A,C),F),E)) ) => k2_kurato_0(A,D) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k17_mesfunc1(A,k6_mesfunc8(A,C),E)) ) ) ) ) ) ) )).
fof(t21_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(A),B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ( ( r1_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,D,k5_numbers))) & v1_mesfunc8(E,A,k6_numbers) & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,C) => v1_mesfunc9(k3_mesfunc5(A,D,F)) ) ) & ! [F] : ( v7_ordinal1(F) => r2_relset_1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,E,F),k2_partfun1(A,k6_numbers,k4_mesfunc5(A,k6_numbers,D,F),C)) ) ) => ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,C) => v1_mesfunc9(k3_mesfunc5(A,E,F)) ) ) ) ) ) ) ) ) )).
fof(t21_metric_1,axiom,( ! [A] : ( m1_subset_1(A,1) => ! [B] : ( m1_subset_1(B,1) => ~ ( A != B & r1_xxreal_0(k1_binop_1(k2_metric_1,A,B),k5_numbers) ) ) ) )).
fof(t21_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k2_metric_2(A)) => ! [C] : ( m1_subset_1(C,k2_metric_2(A)) => ! [D] : ( v1_xreal_0(D) => ( r4_metric_2(A,B,C,D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(E,B) & r2_tarski(F,C) & k3_metric_1(A,E,F) = D ) ) ) ) ) ) ) )).
fof(t21_metric_3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_numbers,k1_numbers)) => r1_xxreal_0(k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k16_metric_3,A,C),k3_real_1(k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k16_metric_3,A,B),k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k16_metric_3,B,C))) ) ) ) )).
fof(t21_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_tbsp_1(B,A) & v2_tbsp_1(C,A) ) => k3_metric_1(A,k1_tbsp_1(A,B),k1_tbsp_1(A,C)) = k1_seq_2(k3_metric_6(A,B,C)) ) ) ) ) )).
fof(t21_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( r1_ordinal1(k2_waybel23(A),B) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(C,A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(D,C) & r2_tarski(E,C) ) => ( D = E | r1_xboole_0(D,E) ) ) ) ) ) => ( r2_tarski(k1_xboole_0,C) | r1_ordinal1(k1_card_1(C),B) ) ) ) ) ) ) )).
fof(t21_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k10_funcsdom(k2_finseq_1(A))))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( B = C => ( v1_rlvect_3(B,k10_funcsdom(k2_finseq_1(A))) <=> v1_rlvect_3(C,k15_euclid(A)) ) ) ) ) ) )).
fof(t21_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( ( r2_midsp_1(A,B,C) & r2_midsp_1(A,B,D) ) => r2_midsp_1(A,C,D) ) ) ) ) ) )).
fof(t21_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => r1_midsp_2(u1_struct_0(A),k15_midsp_1(A),k5_midsp_2(A)) ) )).
fof(t21_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => m1_midsp_3(1,A) ) )).
fof(t21_mmlquer2,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(A)) ) => ! [D] : ( ( v1_relat_2(D) & v4_relat_2(D) & v6_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( k10_mmlquer2(A,D,k4_subset_1(A,B,C)) = k1_ordinal4(k10_mmlquer2(A,D,B),k10_mmlquer2(A,D,C)) <=> ! [E] : ! [F] : ( ( r2_tarski(E,B) & r2_tarski(F,C) ) => ( E != F & r1_mmlquery(E,F,D) ) ) ) ) ) ) )).
fof(t21_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => r1_tarski(k9_mmlquery(A,C,B,D),k4_mmlquery(A,C,B)) ) ) ) )).
fof(t21_mod_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ( m1_subset_1(k5_numbers,A) & m1_subset_1(1,A) & m1_subset_1(2,A) ) ) )).
fof(t21_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( v1_vectsp_7(C,A,B) & ! [D] : ( m1_mod_3(D,A,B) => ~ r1_tarski(C,D) ) ) ) ) ) )).
fof(t21_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v7_mod_4(B,A,A) <=> ( v13_vectsp_1(B,A,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k6_algstr_0(A,C,D)) = k6_algstr_0(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)) ) ) & k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k1_group_1(A)) = k1_group_1(A) & v2_funct_1(B) & v2_funct_2(B,u1_struct_0(A)) ) ) ) ) )).
fof(t21_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ~ ( B != k1_modal_1(A) & r1_xxreal_0(k4_card_1(A),k4_card_1(k4_trees_1(A,B))) ) ) ) )).
fof(t21_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_partfun1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,C))) ) => ! [E] : ( m1_subset_1(E,C) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k30_modelc_1(C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k18_modelc_1,u3_modelc_1(k48_modelc_1(C,D,F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(C,D,F))))) ) => ( r4_modelc_1(C,D,F,G,E,k13_modelc_1(A,B)) <=> ( r4_modelc_1(C,D,F,G,E,A) | r4_modelc_1(C,D,F,G,E,B) ) ) ) ) ) ) ) ) ) )).
fof(t21_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( v6_modelc_2(A) => ( r1_modelc_2(B,A) <=> B = k10_modelc_2(A) ) ) ) ) )).
fof(t21_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ! [C] : ( ( v1_modelc_3(C,A) & l1_modelc_3(C,A) ) => ( r4_modelc_3(A,B,C) => r1_xxreal_0(k21_modelc_3(A,C),k6_xcmplx_0(k21_modelc_3(A,B),1)) ) ) ) ) )).
fof(t21_moebius1,axiom,( v1_moebius1(k5_numbers) )).
fof(t21_moebius2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(k10_newton(B),k10_newton(A)) ) & ~ ( ~ r1_xxreal_0(k10_newton(B),k10_newton(A)) & r1_xxreal_0(B,A) ) ) ) ) )).
fof(t21_monoid_0,axiom,( ! [A] : ( l3_algstr_0(A) => ! [B] : ( m3_monoid_0(B,A) => m2_monoid_0(B,A) ) ) )).
fof(t21_monoid_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_monoid_1(B,A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_monoid_1(B,A))) => ! [E] : ( m1_subset_1(E,A) => k10_monoid_1(B,A,k6_algstr_0(k9_monoid_1(B,A),C,D),E) = k6_algstr_0(B,k10_monoid_1(B,A,C,E),k10_monoid_1(B,A,D,E)) ) ) ) ) ) )).
fof(t21_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( B != k1_xboole_0 => k1_morph_01(A,C,k5_setfam_1(u1_struct_0(A),B)) = k1_setfam_1(a_3_8_morph_01(A,B,C)) ) ) ) ) )).
fof(t21_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => v3_msualg_2(k5_msafree3(A,B,C),A,k11_msafree(A,B)) ) ) ) )).
fof(t21_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r1_pzfmisc1(A,B,C) ) ) )).
fof(t21_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_msafree1(B,A) & ~ v1_catalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,B))) => v7_msafree5(C,A,k3_msafree5(A,B,C),B) ) ) ) )).
fof(t21_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( m1_msaterm(D,A,B,k2_msaterm(A,B,C)) <=> r1_lang1(k5_msafree(A,B),k2_msaterm(A,B,C),k1_dtconstr(u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),D)) ) ) ) ) ) )).
fof(t21_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msafree(C,A,B) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( r2_pboole(u1_struct_0(A),C,D) => m1_msafree(D,A,B) ) ) ) ) ) )).
fof(t21_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v2_finset_1(B) <=> v2_finset_1(k1_mboolean(A,B)) ) ) )).
fof(t21_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ( m1_msualg_2(B,A,C) <=> m1_msualg_2(B,A,g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C))) ) ) ) ) )).
fof(t21_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),C,u3_msualg_1(A,B)) => k12_msualg_2(A,B,C) = g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)) ) ) ) ) )).
fof(t21_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ~ ( r1_msualg_3(A,B,C,D) & ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D))) => ~ ( r8_pboole(u1_struct_0(A),D,E) & r2_msualg_3(A,B,k6_msualg_3(A,B,C,D),E) ) ) ) ) ) ) ) )).
fof(t21_msualg_5,axiom,( ! [A] : ! [B] : ( r2_tarski(A,u1_struct_0(k2_msualg_5(B))) <=> ( v1_partfun1(A,B) & v3_relat_2(A) & v8_relat_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) ) )).
fof(t21_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( r2_tarski(F,k4_finseq_1(k1_msualg_1(A,E))) => ! [G] : ( m1_subset_1(G,k3_msualg_1(A,E,B)) => k3_relat_1(k4_msualg_6(A,E,F,B,G),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,k2_msualg_1(A,E))) = k3_relat_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,E),F)),k4_msualg_6(A,E,F,C,k5_msualg_3(A,B,C,E,D,G))) ) ) ) ) ) ) ) ) ) )).
fof(t21_msualg_7,axiom,( ? [A] : ( m2_nat_lat(A,k1_msualg_7(k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers))) & v2_msualg_7(A,k1_msualg_7(k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers))) & ~ v1_msualg_7(A,k1_msualg_7(k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers))) ) )).
fof(t21_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,k6_pboole(A,C,D)) => ( v2_msualg_3(E,A,B,k6_pboole(A,C,D)) => v2_msualg_3(k1_msualg_9(A,B,C,D,E),A,B,C) ) ) ) ) ) )).
fof(t21_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_unialg_2(A,B) & r1_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) => r1_alg_1(A,B,C) ) ) ) ) )).
fof(t21_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v1_dilworth(B,k3_necklace(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_necklace(A)))) ) ) ) )).
fof(t21_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_pscomp_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,A)),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)),k1_numbers))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_binop_1(C,D,E) = k9_complex1(k5_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,B,D),k3_funct_2(u1_struct_0(A),k1_numbers,B,E))) ) ) => v1_pscomp_1(C,k2_borsuk_1(A,A)) ) ) ) ) ) )).
fof(t21_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ~ ( v3_pcomps_1(A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) ) => ~ v5_nagata_1(B,A) ) ) ) )).
fof(t21_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => m1_subset_1(k6_xcmplx_0(B,A),k4_ordinal1) ) ) ) )).
fof(t21_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_abian(A) <=> k4_nat_d(A,2) = k5_numbers ) ) )).
fof(t21_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( A != 1 => k11_nat_3(1,A) = k5_numbers ) ) )).
fof(t21_nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v1_int_2(C) => k11_nat_3(A,C) = k11_nat_3(B,C) ) ) => A = B ) ) ) )).
fof(t21_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( v1_int_2(A) => k11_nat_3(k6_nat_d(B,C),A) = k3_xxreal_0(k11_nat_3(B,A),k11_nat_3(C,A)) ) ) ) ) )).
fof(t21_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_nat_6(A,2) ) => ! [B] : ( ( ~ v1_zfmisc_1(B) & m1_nat_6(B,k6_xcmplx_0(A,1)) ) => ~ ( ~ r1_xxreal_0(B,k3_square_1(A)) & ? [C] : ( v7_ordinal1(C) & r2_int_1(k1_newton(C,k6_xcmplx_0(A,1)),1,A) & ! [D] : ( ( v1_int_2(D) & m1_nat_6(D,B) ) => k3_int_2(k6_xcmplx_0(k1_newton(C,k7_xcmplx_0(k6_xcmplx_0(A,1),D)),1),A) = 1 ) ) & ~ v1_int_2(A) ) ) ) )).
fof(t21_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_nat_d(B,C) = k2_nat_d(k2_xcmplx_0(k3_xcmplx_0(C,A),B),C) ) ) ) )).
fof(t21_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r1_nattra_1(A,B,C,D) => ! [E] : ( m1_nattra_1(E,A,B,C,D) => ( r2_funct_2(u1_struct_0(A),u4_struct_0(B),k3_nattra_1(A,B,C,D,D,E,k1_nattra_1(A,B,D)),E) & r2_funct_2(u1_struct_0(A),u4_struct_0(B),k3_nattra_1(A,B,C,C,D,k1_nattra_1(A,B,C),E),E) ) ) ) ) ) ) ) )).
fof(t21_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) => ( ! [E] : ( m1_ncfcont1(E,A,D) => k9_subset_1(u1_struct_0(A),k1_relset_1(u1_struct_0(A),C),E) != k1_tarski(D) ) | r2_ncfcont1(A,B,C,D) ) ) ) ) ) ) )).
fof(t21_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r3_ncfcont2(A,B,C,D) => r9_ncfcont1(B,C,D,A) ) ) ) ) )).
fof(t21_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v9_ordinal1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v1_fdiff_1(B,k5_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => ( v12_struct_0(k2_ndiff_1(A,C,B),k4_ordinal1,A) & v1_ndiff_1(k2_ndiff_1(A,C,B),A,k4_struct_0(A)) ) ) ) ) ) )).
fof(t21_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_tarski(D,k1_relset_1(k1_numbers,E)) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,D) => k7_partfun1(u1_struct_0(A),E,F) = k3_rlvect_1(A,k1_rlvect_1(A,B,F),C) ) ) ) => ( r2_ndiff_3(A,E,D) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,D) => k1_funct_1(k2_ndiff_3(A,E,D),F) = B ) ) ) ) ) ) ) ) ) )).
fof(t21_ndiff_4,axiom,( ! [A] : ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(B)))) ) => ( ( r2_ndiff_4(B,D,A) & r1_tarski(C,A) ) => r2_ndiff_4(B,D,C) ) ) ) ) )).
fof(t21_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_prvect_2(A,B))) => k2_normsp_0(k14_prvect_2(A),k3_funct_2(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A)),k4_ndiff_5(A,B,k4_struct_0(k14_prvect_2(A))),C)) = k2_normsp_0(k11_prvect_2(A,B),C) ) ) ) )).
fof(t21_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,E,C,D) & r1_ndiff_6(A,B,F,C,D) ) => r1_ndiff_6(A,B,k6_vfunct_1(u1_struct_0(A),B,E,F),C,D) ) ) ) ) ) ) ) )).
fof(t21_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_prvect_2(k10_finseq_1(A,B))))) => r3_nfcont_1(k14_prvect_2(k10_finseq_1(A,B)),k7_prvect_3(A,B),k4_ndiff_7(A,B,k3_ndiff_7(A,B)),C) ) ) ) )).
fof(t21_neckla_3,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( l1_orders_2(B) => ( ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_hidden(k4_tarski(D,E),u1_orders_2(A)) <=> r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),u1_orders_2(B)) ) ) ) ) <=> r1_necklace(A,B) ) ) ) )).
fof(t21_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,k1_nat_1(B,1)) => r2_hidden(k4_tarski(B,k1_nat_1(B,1)),u1_orders_2(k4_necklace(A))) ) ) ) )).
fof(t21_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ! [C] : ( r2_tarski(B,C) => ( k2_net_1(A) = k1_xboole_0 | r2_tarski(k5_net_1(A,B),k10_net_1(A,C)) ) ) ) ) )).
fof(t21_newton,axiom,( ! [A] : ( v7_ordinal1(A) => k3_newton(A,A) = 1 ) )).
fof(t21_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k1_newton(B,k2_xcmplx_0(A,2)),k1_newton(C,k2_xcmplx_0(A,2))) = k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(B,k2_xcmplx_0(A,1)),k1_newton(C,k2_xcmplx_0(A,1))),k6_xcmplx_0(B,C)),k3_xcmplx_0(k3_xcmplx_0(B,C),k6_xcmplx_0(k1_newton(B,A),k1_newton(C,A)))) ) ) ) )).
fof(t21_nfcont_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r3_nfcont_1(B,C,D,A) <=> r3_nfcont_1(B,C,k2_partfun1(u1_struct_0(B),u1_struct_0(C),D,A),A) ) ) ) ) )).
fof(t21_nfcont_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(C)))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,D)) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(C),D,A),C) ) => v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(C),k4_vfunct_1(k1_numbers,C,D,B),A),C) ) ) ) ) )).
fof(t21_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),k1_numbers))) ) => ! [D] : ( m1_subset_1(D,k1_euclid(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ( ( B = C & D = E ) => ( r2_nfcont_4(A,B,D) <=> r2_nfcont_1(k4_real_ns1(A),C,E) ) ) ) ) ) ) ) )).
fof(t21_normform,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(B)) => ! [E] : ( m1_subset_1(E,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ( ! [F] : ( m1_subset_1(F,B) => ( r2_tarski(F,D) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k3_funct_2(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),C,F),E) ) ) => r1_normform(k5_finsub_1(A),k5_finsub_1(A),k6_normform(B,A,D,C),E) ) ) ) ) ) )).
fof(t21_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_normsp_1(C,A) => v3_normsp_1(k3_normsp_1(A,C,B),A) ) ) ) ) )).
fof(t21_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ( B = C => ( v4_pre_topc(B,k3_normsp_2(A)) <=> v4_pre_topc(C,k4_normsp_2(A)) ) ) ) ) ) )).
fof(t21_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v2_normsp_3(A) <=> ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & v1_normsp_3(k2_relset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t21_numbers,axiom,( k1_numbers != k2_numbers )).
fof(t21_numeral2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( B = k1_nat_1(k11_newton(10,k1_nat_1(k3_xcmplx_0(2,A),1)),1) => r1_nat_d(11,B) ) ) ) )).
fof(t21_numpoly1,axiom,( ! [A] : ( v7_ordinal1(A) => k1_numpoly1(k7_nat_d(A,1)) = k7_xcmplx_0(k3_xcmplx_0(A,k6_xcmplx_0(A,1)),2) ) )).
fof(t21_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_o_ring_1(B,A) & v5_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t21_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ r2_tarski(D,k7_openlatt(A)) ) ) ) ) ) )).
fof(t21_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_oppcat_1(A))) => k6_oppcat_1(A,k4_cat_1(k2_oppcat_1(A),B)) = k4_cat_1(A,k4_oppcat_1(A,B)) ) ) )).
fof(t21_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_ordeq_01(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_rsspace4(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_rsspace4(A,B))) => ( ( E = C & F = D ) => k5_algstr_0(k5_ordeq_01(A,B),C,D) = k5_algstr_0(k9_rsspace4(A,B),E,F) ) ) ) ) ) ) ) )).
fof(t21_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r1_xxreal_0(C,D) & B = k2_rcomp_1(C,D) & k1_relset_1(k1_numbers,F) = k1_rcomp_1(C,D) & k1_relset_1(k1_numbers,H) = k1_rcomp_1(C,D) & k1_relset_1(k1_numbers,G) = k1_rcomp_1(C,D) & r2_ndiff_3(A,F,B) & k7_partfun1(u1_struct_0(A),F,C) = E & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,B) => k1_ndiff_3(A,F,I) = k7_partfun1(u1_struct_0(A),G,I) ) ) & ! [I] : ( v1_xreal_0(I) => ( r2_hidden(I,k1_rcomp_1(C,D)) => k7_partfun1(u1_struct_0(A),H,I) = k3_rlvect_1(A,E,k6_integr18(A,G,C,I)) ) ) ) => r2_relset_1(k1_numbers,u1_struct_0(A),F,H) ) ) ) ) ) ) ) ) ) )).
fof(t21_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v2_orders_1(A) => v1_orders_1(A) ) ) )).
fof(t21_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ r2_tarski(B,k2_orders_2(A,k6_domain_1(u1_struct_0(A),B))) ) ) )).
fof(t21_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(A,B) <=> r1_ordinal1(k1_ordinal1(A),B) ) ) ) )).
fof(t21_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ~ ( r2_tarski(A,k3_ordinal2(B)) & ! [C] : ( v3_ordinal1(C) => ~ ( r2_tarski(C,B) & r1_ordinal1(A,C) ) ) ) ) )).
fof(t21_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( k10_ordinal2(A,B) = k10_ordinal2(A,C) => B = C ) ) ) ) )).
fof(t21_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( v4_ordinal1(A) => ( A = k1_xboole_0 | ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_ordinal2(C) ) => ( ( k9_xtuple_0(C) = A & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,A) => k1_funct_1(C,D) = k12_ordinal2(B,D) ) ) ) => r1_ordinal2(k12_ordinal2(B,A),C) ) ) ) ) ) ) )).
fof(t21_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r1_ordinal1(A,B) & r2_tarski(k5_numbers,C) ) => r1_ordinal1(k1_ordinal5(C,A),k1_ordinal5(C,B)) ) ) ) ) )).
fof(t21_ordinal6,axiom,( ! [A] : r3_wellord1(k1_wellord2(k1_ordinal6(A)),k1_wellord2(k2_ordinal1(A)),k2_ordinal6(A)) )).
fof(t21_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,D,C) & ~ r1_orders_2(B,F,C) & k8_group_1(A,k1_ortsp_1(A,B,C,D,E),k9_algstr_0(A,k1_ortsp_1(A,B,C,D,F))) != k1_ortsp_1(A,B,C,F,E) ) ) ) ) ) ) ) )).
fof(t21_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r3_orders_2(A,E,F) & r2_tarski(C,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),E)) & r2_tarski(D,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),E)) ) => ( r2_hidden(k4_tarski(D,E),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) <=> r2_hidden(k4_tarski(D,F),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) ) ) ) ) ) ) ) ) )).
fof(t21_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m2_finseq_2(B,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [C] : ( m2_finseq_2(C,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ! [D] : ( m2_finseq_2(D,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ( ( r2_osalg_1(A,B,C) & r2_osalg_1(A,C,D) ) => r2_osalg_1(A,B,D) ) ) ) ) ) )).
fof(t21_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r3_orders_2(A,D,E) => r2_setfam_1(k8_osalg_2(A,B,C,D),k8_osalg_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(t21_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => ( r8_pboole(u1_struct_0(A),C,k6_pboole(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B))) => v3_osalg_4(C,A,B) ) ) ) ) )).
fof(t21_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_parsp_1(A,B,C,D,E) => r1_parsp_1(A,C,B,D,E) ) ) ) ) ) ) )).
fof(t21_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_parsp_2(A,B,C,D) & r1_parsp_1(A,B,C,D,E) ) => ( B = C | r1_parsp_1(A,B,D,C,E) ) ) ) ) ) ) ) )).
fof(t21_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_tarski(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_tarski(A)))) ) => ( k1_relset_1(B,C) = k1_relset_1(B,D) => C = D ) ) ) )).
fof(t21_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_tarski(D,k1_relset_1(B,k3_partfun2(B,C,A,E))) => k7_partfun1(C,k3_partfun2(B,C,A,E),D) = k7_partfun1(C,E,D) ) ) ) ) ) )).
fof(t21_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ! [E] : ! [F] : ! [G] : ( m2_finseq_1(G,A) => ( ( r1_tarski(D,A) & r2_tarski(E,D) & k1_funct_1(G,1) = E & k1_funct_1(G,k3_finseq_1(G)) = F & r1_xxreal_0(1,k3_finseq_1(G)) & ! [H] : ( v7_ordinal1(H) => ~ ( r1_xxreal_0(1,H) & ~ r1_xxreal_0(k3_finseq_1(G),H) & ! [I] : ! [J] : ! [K] : ~ ( r2_tarski(I,B) & r2_tarski(J,C) & r2_tarski(k1_funct_1(G,H),I) & r2_tarski(K,I) & r2_tarski(K,J) & r2_tarski(k1_funct_1(G,k1_nat_1(H,1)),J) ) ) ) & r1_partit1(A,B,D) & r1_partit1(A,C,D) ) => r2_tarski(F,D) ) ) ) ) ) )).
fof(t21_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r1_relat_2(B,A) => ( v1_relat_2(B) & k1_relat_1(B) = A ) ) ) ) )).
fof(t21_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( ~ r3_diraf(A,E,B,C) & r1_diraf(A,E,D,C) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_diraf(A,E,F,B) & r2_analoaf(A,B,C,F,D) ) ) ) ) ) ) ) ) )).
fof(t21_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( ( r2_pboole(A,B,C) & r2_pboole(A,D,E) ) => r2_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,E)) ) ) ) ) ) )).
fof(t21_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_pcomps_1(B,A) & v2_tops_2(B,A) ) => v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t21_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ( r1_tarski(u1_struct_0(A),u1_struct_0(k20_pcs_0(A,B))) & r1_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A),u1_orders_2(k20_pcs_0(A,B))) & r1_relset_1(u1_struct_0(A),u1_struct_0(A),u1_pcs_0(A),u1_pcs_0(k20_pcs_0(A,B))) ) ) )).
fof(t21_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(A))) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(A)) => ( ( C = D & E = F & r1_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),C,E) ) => k3_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),C,E) = k8_pdiff_1(A,B,D,F) ) ) ) ) ) ) ) )).
fof(t21_pdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r3_pdiff_1(2,1,A,B) => r1_fcont_1(k1_pdiff_2(2,1,A,B),k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(1,2),B)) ) ) ) )).
fof(t21_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( r1_pdiff_3(B,A) & r1_pdiff_3(C,A) ) => ( r3_pdiff_1(2,1,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(1,2,B),k1_pdiff_3(1,2,C)),A) & k10_pdiff_1(2,1,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(1,2,B),k1_pdiff_3(1,2,C)),A) = k2_xcmplx_0(k2_pdiff_3(B,A),k2_pdiff_3(C,A)) ) ) ) ) ) )).
fof(t21_pdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(3)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( D = k11_finseq_1(A,B,C) => k10_pdiff_1(3,3,E,D) = k1_fdiff_1(k1_pdiff_2(3,3,E,D),C) ) ) ) ) ) ) )).
fof(t21_pdiff_5,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r3_pdiff_5(B,A) <=> r3_pdiff_1(3,3,k1_pdiff_3(1,3,B),A) ) ) ) )).
fof(t21_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) => ( ( r1_pdiff_1(B,A,C,E) & r1_pdiff_1(B,A,D,E) ) => ( r1_pdiff_1(B,A,k8_integr15(A,k1_euclid(B),C,D),E) & r2_relset_1(k1_euclid(B),k1_euclid(A),k8_pdiff_1(B,A,k8_integr15(A,k1_euclid(B),C,D),E),k8_integr15(A,k1_euclid(B),k8_pdiff_1(B,A,C,E),k8_pdiff_1(B,A,D,E))) ) ) ) ) ) ) ) )).
fof(t21_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(A))))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_real_ns1(B))) => ( ( r1_ndiff_1(k4_real_ns1(B),k4_real_ns1(A),D,E) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) => ( r2_pdiff_1(A,B,C,D,E) & k9_pdiff_1(B,A,C,D,E) = k3_relat_1(k7_pdiff_1(B,C,k4_struct_0(k4_real_ns1(B))),k3_ndiff_1(k4_real_ns1(B),k4_real_ns1(A),D,E)) ) ) ) ) ) ) ) )).
fof(t21_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ( v3_nfcont_1(D,k4_real_ns1(A)) => ( ( r2_ndiff_1(D,k4_real_ns1(A),k4_real_ns1(B),C) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),C,D),D) ) <=> ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,B) ) => ( r2_ndiff_1(D,k4_real_ns1(A),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(E,B))) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(A),k4_real_ns1(1)),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(1),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(E,B)),D),D) ) ) ) ) ) ) ) ) ) )).
fof(t21_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_euclid(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,A) & v1_pdiff_7(E,A) & D = C & E = F & r2_pdiff_7(A,B,G,C,E) ) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(k4_real_ns1(A))) => ( ( r2_tarski(H,E) & H = I ) => k11_pdiff_1(A,B,G,C,H) = k1_funct_1(k9_pdiff_1(A,B,G,D,I),k12_finseq_1(k4_ordinal1,1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_pencil_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_pre_topc(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( C = B => v2_pencil_1(C,A) ) ) ) ) )).
fof(t21_pencil_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_pencil_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r1_pencil_2(A,C,D) => ( v1_zfmisc_1(C) | v1_zfmisc_1(D) | r1_pencil_2(A,k8_relset_1(u1_struct_0(A),u1_struct_0(A),B,C),k8_relset_1(u1_struct_0(A),u1_struct_0(A),B,D)) ) ) ) ) ) ) )).
fof(t21_pencil_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_pencil_2(C,A,B) => ! [D] : ( m1_pencil_2(D,A,B) => ( r1_xboole_0(C,D) => ( r1_pencil_3(A,B,C,D) <=> ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => ! [F] : ( ( ~ v13_pencil_1(F) & v16_pencil_1(F,A) & m3_pboole(F,A,k12_pralg_1(A,B)) ) => ( ( C = k4_card_3(E) & D = k4_card_3(F) ) => ( k3_pencil_1(A,E) = k3_pencil_1(A,F) & ? [G] : ( m1_subset_1(G,A) & G != k3_pencil_1(A,E) & ! [H] : ( m1_subset_1(H,A) => ( H != G => k1_funct_1(E,H) = k1_funct_1(F,H) ) ) & ! [H] : ( m1_subset_1(H,u1_struct_0(k2_pencil_1(A,B,G))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_pencil_1(A,B,G))) => ( ( k1_funct_1(E,G) = k6_domain_1(u1_struct_0(k2_pencil_1(A,B,G)),H) & k1_funct_1(F,G) = k6_domain_1(u1_struct_0(k2_pencil_1(A,B,G)),I) ) => r1_pencil_1(k2_pencil_1(A,B,G),H,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(3,k1_vectsp_9(A,B)) ) => ( r1_xxreal_0(k1_vectsp_9(A,B),C) | ( ~ v2_struct_0(k5_pencil_4(A,B,C)) & ~ v3_pencil_1(k5_pencil_4(A,B,C)) & ~ v4_pencil_1(k5_pencil_4(A,B,C)) & v5_pencil_1(k5_pencil_4(A,B,C)) & v6_pencil_1(k5_pencil_4(A,B,C)) & l1_pre_topc(k5_pencil_4(A,B,C)) ) ) ) ) ) ) )).
fof(t21_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( v1_abian(A) => ( r1_xxreal_0(B,k5_numbers) | v1_abian(k1_newton(A,B)) ) ) ) ) )).
fof(t21_pnproc_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k4_ordinal1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [C] : ( m1_pnproc_1(C,A) => ! [D] : ( m1_pnproc_1(D,A) => k6_pnproc_1(A,k6_pnproc_1(A,B,C),D) = k1_funct_1(k3_relat_1(k7_pnproc_1(A,C),k7_pnproc_1(A,D)),B) ) ) ) )).
fof(t21_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_polyalg1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v3_polyalg1(C,A,B) => u1_struct_0(k2_polyalg1(A,B,C)) = C ) ) ) ) )).
fof(t21_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( k1_square_1(B) = A & k4_complex1(A) = k5_numbers & ~ r1_xxreal_0(k5_numbers,k3_complex1(A)) & B != k3_xcmplx_0(k3_square_1(k1_real_1(k3_complex1(A))),k7_complex1) & B != k4_xcmplx_0(k3_xcmplx_0(k3_square_1(k1_real_1(k3_complex1(A))),k7_complex1)) ) ) ) )).
fof(t21_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ! [H] : ( v1_xcmplx_0(H) => ! [I] : ( v1_xcmplx_0(I) => ( ( A = k6_xcmplx_0(F,k7_xcmplx_0(E,4)) & I = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,D),k3_xcmplx_0(3,k1_newton(E,2))),32) & G = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(k3_xcmplx_0(4,D),E)),k1_newton(E,3)),64) & H = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,B),k3_xcmplx_0(k3_xcmplx_0(64,E),C)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(E,2)),D)),k3_xcmplx_0(3,k1_newton(E,4))),1024) ) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,4),k3_xcmplx_0(E,k1_newton(A,3))),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(F,4),k3_xcmplx_0(k3_xcmplx_0(4,I),k1_newton(F,2))),k3_xcmplx_0(k3_xcmplx_0(8,G),F)),k3_xcmplx_0(4,H)) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_polyform,axiom,( ! [A] : ( m2_finseq_1(A,k4_numbers) => ! [B] : ( m2_finseq_1(B,k4_numbers) => ! [C] : ( m2_finseq_1(C,k4_numbers) => k16_rvsum_1(k8_finseq_1(k4_numbers,k8_finseq_1(k4_numbers,A,B),C)) = k2_xcmplx_0(k2_xcmplx_0(k16_rvsum_1(A),k16_rvsum_1(B)),k16_rvsum_1(C)) ) ) ) )).
fof(t21_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_polynom1(A,B,k5_polynom1(A,B,C,D),E),k5_polynom1(A,B,C,k5_polynom1(A,B,D,E))) ) ) ) ) )).
fof(t21_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k9_polynom1(A,B),C) = k5_struct_0(B) ) ) ) )).
fof(t21_polynom3,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(1,E) & r1_xxreal_0(D,k1_recdef_1(A,k1_nat_1(B,1))) & r1_xxreal_0(E,k1_recdef_1(A,k1_nat_1(C,1))) & k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,B,A)),D) = k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,C,A)),E) ) => ( r1_xxreal_0(k3_finseq_1(A),B) | r1_xxreal_0(k3_finseq_1(A),C) | ( B = C & D = E ) ) ) ) ) ) ) ) )).
fof(t21_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_polynom4(A,k2_normsp_1(A,B,C),D) = k5_algstr_0(A,k2_polynom4(A,B,D),k2_polynom4(A,C,D)) ) ) ) ) )).
fof(t21_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => r2_funct_2(k4_ordinal1,u1_struct_0(A),k3_polynom5(A,k10_polynom3(A),B),k10_polynom3(A)) ) ) )).
fof(t21_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k4_polynom7(A,B,C),k4_polynom7(A,B,D)) <=> C = D ) ) ) ) )).
fof(t21_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D != k4_struct_0(A) => k8_group_1(A,k2_polynom8(A,D,B),k2_polynom8(A,D,C)) = k2_polynom8(A,D,k2_xcmplx_0(B,C)) ) ) ) ) ) )).
fof(t21_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( ~ v9_struct_0(E,C) & m1_subset_1(E,u1_struct_0(C)) ) => k3_termord(A,B,C,k5_polynom7(A,C,D,E)) = k3_termord(A,B,C,D) ) ) ) ) ) )).
fof(t21_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ~ ( r1_poset_2(A,C,F) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ~ ! [H] : ( m1_subset_1(H,A) => ( ( r2_tarski(H,C) => k3_funct_2(A,B,G,H) = k3_funct_2(A,B,D,H) ) & ( ~ r2_tarski(H,C) => k3_funct_2(A,B,G,H) = k3_funct_2(k2_zfmisc_1(A,B),B,E,k1_domain_1(A,B,H,k3_funct_2(A,B,G,k3_funct_2(A,A,F,H)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,k5_numbers) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | v1_abian(B) | ( r1_xxreal_0(k1_power(B,A),A) & ~ r1_xxreal_0(k1_power(B,A),k4_xcmplx_0(1)) ) ) ) ) ) )).
fof(t21_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u4_struct_0(B)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(B,E,k14_pralg_2(A,B,C))) => ! [G] : ( r2_tarski(G,k1_relset_1(k4_ordinal1,k1_msualg_1(B,E))) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( H = k1_funct_1(F,G) => k1_funct_1(k1_funct_1(k9_funct_6(F),D),G) = k1_funct_1(H,D) ) ) ) ) ) ) ) ) ) )).
fof(t21_pre_circ,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r3_tarski(k9_xtuple_0(A),k9_xtuple_0(B)) <=> r3_tarski(A,B) ) ) ) )).
fof(t21_pre_poly,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ( v1_partfun1(C,A) & v1_relat_2(C) & v4_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( m1_subset_1(D,A) => ( ( r2_tarski(D,B) & r3_orders_1(C,B) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,B) => r2_tarski(k1_domain_1(A,A,E,D),C) ) ) ) => k7_partfun1(A,k7_pre_poly(A,B,C),k3_finseq_1(k7_pre_poly(A,B,C))) = D ) ) ) ) ) )).
fof(t21_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k2_pre_topc(A,k9_subset_1(u1_struct_0(A),B,C)),k9_subset_1(u1_struct_0(A),k2_pre_topc(A,B),k2_pre_topc(A,C))) ) ) ) )).
fof(t21_prefer_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => v3_relat_2(k2_eqrel_1(A,B,k3_relset_1(A,A,B))) ) )).
fof(t21_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k2_prelamb(A,k2_prelamb(A,C,k1_prelamb(A,B,C)),B)) & r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k1_prelamb(A,B,k1_prelamb(A,k2_prelamb(A,C,B),C))) ) ) ) ) )).
fof(t21_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k5_numbers,A) => k2_prepower(1,A) = A ) ) )).
fof(t21_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => m1_prob_1(k4_subset_1(A,C,D),A,B) ) ) ) )).
fof(t21_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ! [F] : ( m2_prob_1(F,A,B) => ( r2_prob_2(A,B,F,C,D,E) => r2_prob_2(A,B,F,D,C,E) ) ) ) ) ) ) ) )).
fof(t21_prob_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r2_funct_2(k4_ordinal1,k9_setfam_1(A),D,k1_prob_3(A,C)) => ( k1_prob_2(A,B,D,k5_numbers) = k1_prob_2(A,B,C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => k1_prob_2(A,B,D,k1_nat_1(E,1)) = k5_prob_1(A,B,k1_prob_2(A,B,D,E),k1_prob_2(A,B,C,k1_nat_1(E,1))) ) ) ) ) ) ) )).
fof(t21_prob_4,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(C) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => r1_xboole_0(k1_prob_4(A,B,k3_prob_3(A,C),k1_nat_1(D,1)),k1_prob_4(A,B,C,D)) ) ) ) ) )).
fof(t21_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k7_cqc_lang(A,B,C),C),k4_cqc_the1(A)) ) ) ) )).
fof(t21_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ( ( r1_collsp(A,H,B,C) & r1_collsp(A,H,D,E) & r1_collsp(A,H,F,G) & r1_collsp(A,B,D,I) & r1_collsp(A,C,E,I) & r1_collsp(A,D,F,K) & r1_collsp(A,E,G,K) & r1_collsp(A,B,F,J) & r1_collsp(A,C,G,J) ) => ( r1_collsp(A,H,B,D) | r1_collsp(A,H,D,F) | r1_collsp(A,H,B,F) | B = C | D = E | H = C | H = E | H = G | r1_collsp(A,K,J,I) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ( ( v1_projpl_1(A) & r3_projpl_1(A,B,G,H,I) & r1_zfmisc_1(G,H,I) & r2_projpl_1(A,C,F,G) & r2_projpl_1(A,D,F,H) & r2_projpl_1(A,E,F,I) ) => ( r1_incsp_1(A,B,F) | r1_zfmisc_1(C,D,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( r2_tarski(C,k10_xtuple_0(k1_projred1(A,D,E,B))) => ( r1_incsp_1(A,B,D) | r1_incsp_1(A,B,E) | r1_incsp_1(A,C,E) ) ) ) ) ) ) ) )).
fof(t21_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,C,E) & ~ r1_incsp_1(A,B,F) & ~ r1_incsp_1(A,C,F) & ~ r1_projred2(A,D,E,F) & r1_projred2(A,E,F,H) & ~ r1_incsp_1(A,B,H) & E != H & B != C & r1_incsp_1(A,B,G) & r1_incsp_1(A,C,G) & ! [I] : ( m1_subset_1(I,u1_incsp_1(A)) => ~ ( r1_incsp_1(A,I,G) & ~ r1_incsp_1(A,I,E) & ~ r1_incsp_1(A,I,H) & k3_relat_1(k1_projred1(A,D,F,B),k1_projred1(A,F,E,C)) = k3_relat_1(k1_projred1(A,D,H,B),k1_projred1(A,H,E,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_binop_1(C,D,E) = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B))),D,k12_finseq_1(u1_struct_0(B),E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_prvect_3(A,B))) => k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B)))),C,k3_rlvect_1(k5_prvect_3(A,B),D,E)) = k3_rlvect_1(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))),k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B)))),C,D),k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B)))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(A,B))) => ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B)))),C,k1_rlvect_1(k5_prvect_3(A,B),D,E)) = k1_rlvect_1(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B))),k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B)))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k5_prvect_3(A,B)),u1_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B)))),C,k4_struct_0(k5_prvect_3(A,B))) = k4_struct_0(k5_prvect_3(A,k10_prvect_2(k9_finseq_1(B)))) ) ) ) )).
fof(t21_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( A = a_2_1_pscomp_1(B,C) => v3_pre_topc(A,k15_euclid(2)) ) ) ) ) )).
fof(t21_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_partfun1(B,u1_struct_0(A)) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r1_relset_1(u1_struct_0(A),u1_struct_0(A),B,k6_pua2mss1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v1_partfun1(k8_pua2mss1(A,B,C),u1_struct_0(A)) & v3_relat_2(k8_pua2mss1(A,B,C)) & v8_relat_2(k8_pua2mss1(A,B,C)) ) ) ) ) ) )).
fof(t21_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r6_pboole(A,k3_pboole(A,k1_pzfmisc1(A,B),k2_pzfmisc1(A,B,C)),k1_pzfmisc1(A,B)) ) ) )).
fof(t21_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_qc_lang1(A)) => ( ( r1_qc_lang1(A,B,C) & r1_qc_lang1(A,C,D) ) => r1_qc_lang1(A,B,D) ) ) ) ) ) )).
fof(t21_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [I] : ( m2_subset_1(I,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k8_qc_lang2(A,D,F,H,B) = k8_qc_lang2(A,E,G,I,C) => ( D = E & F = G & H = I & B = C ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ( v6_qc_lang1(B,A) <=> v6_qc_lang1(k13_qc_lang1(A,B),A) ) ) ) )).
fof(t21_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,C))) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(A,C))) => ( ( E = k7_finseq_1(D,k9_finseq_1(B)) & v3_qc_lang1(k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),D),A) ) => ( k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),E) = k18_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),D)) & B = k5_numbers ) ) ) ) ) ) ) )).
fof(t21_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( ( v1_qc_trans(C,A) & m1_qc_lang1(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(C))) => ( B = D => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_valuat_1(F,A,E) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),E,k2_valuat_1(A,E)) => ~ ( r6_calcul_1(A,B,E,F,G) & ! [H] : ( ~ v1_xboole_0(H) => ! [I] : ( m1_valuat_1(I,C,H) => ! [J] : ( m2_funct_2(J,k3_qc_lang1(C),H,k2_valuat_1(C,H)) => ~ r6_calcul_1(C,D,H,I,J) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_quantal1(A) ) => ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = k1_lattice3(k1_xboole_0) => ( v20_quantal1(A) & v21_quantal1(A) ) ) ) )).
fof(t21_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k22_quaterni(A,k23_quaterni(B)) = k23_quaterni(k22_quaterni(A,B)) ) ) )).
fof(t21_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k21_quaterni(k22_quaterni(k10_quaterni,A),k22_quaterni(A,k10_quaterni)) = k5_quaterni(k4_xcmplx_0(k3_xcmplx_0(2,k14_quaterni(A))),k5_numbers,k3_xcmplx_0(2,k12_quaterni(A)),k5_numbers) ) )).
fof(t21_quaterni,axiom,( k9_quaterni(k11_quaterni,k1_xcmplx_0) = k7_quaterni(k9_quaterni(k1_xcmplx_0,k11_quaterni)) )).
fof(t21_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,B),A),C)),k1_quin_1(B,C,D)),k5_numbers) & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D),k5_numbers) ) ) ) ) ) )).
fof(t21_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k4_binop_1(k7_quofield(A),k15_quofield(A),B,C) = k4_binop_1(k7_quofield(A),k15_quofield(A),C,B) ) ) ) )).
fof(t21_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_radix_1(1,B,A) => k4_radix_1(1,A,1,k10_radix_1(A,1,B)) = B ) ) ) )).
fof(t21_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_relset_1(A,k6_numbers,k5_mesfunc1(A,k1_mesfunc5(A,B),k1_mesfunc5(A,C)),k1_mesfunc5(A,k20_valued_1(A,k1_numbers,k1_numbers,B,C))) ) ) ) )).
fof(t21_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) ) => ! [C] : ( v7_ordinal1(C) => ? [D] : ( m2_prob_1(D,k1_funct_1(k5_random_3(A),C),k1_random_1(k1_funct_1(k5_random_3(A),C))) & D = k1_funct_1(k9_random_3(A,B),C) & k1_funct_1(k9_random_3(A,B),k1_nat_1(C,1)) = k2_random_2(k1_funct_1(k5_random_3(A),C),k1_funct_1(A,k1_nat_1(C,1)),D,k8_random_3(A,B,k1_nat_1(C,1))) ) ) ) ) )).
fof(t21_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ~ ( r1_struct_0(k1_vectsp_7(A,B,C),D) & ~ r2_tarski(D,C) & v1_vectsp_7(k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),D)),A,B) ) ) ) ) ) )).
fof(t21_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( ~ ( ~ r1_xxreal_0(k1_rat_1(A),1) & v1_int_1(A) ) & ~ ( ~ v1_int_1(A) & r1_xxreal_0(k1_rat_1(A),1) ) ) ) )).
fof(t21_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ratfunc1(B,A) => ? [C] : ( m1_ratfunc1(C,A) & ? [D] : ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) & B = k3_ratfunc1(A,k12_polynom3(A,D,k4_ratfunc1(A,C)),k12_polynom3(A,D,k5_ratfunc1(A,C))) & v5_ratfunc1(C,A) & ? [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) & D = k3_group_4(k13_polynom3(A),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),G) & k1_funct_1(E,F) = k3_hurwitz(A,G,1) ) ) ) ) ) ) ) ) ) )).
fof(t21_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ~ ( v3_rcomp_1(A) & v4_xxreal_2(A) & r2_hidden(k2_seq_4(A),A) ) ) )).
fof(t21_rcomp_3,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( v4_xxreal_2(A) & r2_hidden(k2_seq_4(A),A) ) => ( v3_xxreal_2(A) | A = k1_limfunc1(k2_seq_4(A)) ) ) ) )).
fof(t21_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => r2_funct_2(k4_ordinal1,k4_ordinal1,k2_real_3(A,k5_numbers),k8_funcop_1(k4_ordinal1,k4_ordinal1,k5_numbers)) ) )).
fof(t21_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_real_lat(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_real_lat(A))) => k1_binop_1(k4_real_lat(A),B,C) = k1_binop_1(k4_real_lat(A),C,B) ) ) ) )).
fof(t21_realset2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( k6_algstr_0(A,B,k5_struct_0(A)) = B & k6_algstr_0(A,k5_struct_0(A),B) = B ) ) ) )).
fof(t21_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),k8_struct_0(A)) => k4_binop_1(u1_struct_0(A),k4_realset2(A),B,k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),C,D)) = k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),k4_binop_1(u1_struct_0(A),k4_realset2(A),B,C),D) ) ) ) ) )).
fof(t21_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k1_relset_1(A,k4_rearran1(B,A,D,C)) = A ) ) ) ) ) )).
fof(t21_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => k1_relat_1(A) = k1_relat_1(k2_relat_1(A)) ) )).
fof(t21_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( r1_tarski(B,C) => r2_relset_1(A,B,k6_relset_1(A,B,C,D),D) ) ) )).
fof(t21_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( v1_funct_1(k3_relset_2(A,C)) & v1_funct_2(k3_relset_2(A,C),k9_setfam_1(A),k9_setfam_1(k2_relset_1(B,C))) & m1_subset_1(k3_relset_2(A,C),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(k2_relset_1(B,C))))) ) ) )).
fof(t21_revrot_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( k10_xtuple_0(A) = k10_xtuple_0(B) => k10_xtuple_0(k1_goboard1(A)) = k10_xtuple_0(k1_goboard1(B)) ) ) ) )).
fof(t21_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) <=> r1_rewrite1(k18_finseq_1(A),B,C) ) ) )).
fof(t21_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(A)) => ~ ( r2_rewrite2(A,k4_subset_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)),B,C),D,E) & ~ r2_rewrite2(A,B,D,E) & ~ r2_rewrite2(A,C,D,E) ) ) ) ) ) )).
fof(t21_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k8_afinsq_1(E))) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k8_afinsq_1(E))) => ! [H] : ( l1_rewrite3(H,F) => ! [I] : ( l1_rewrite3(I,G) => ( ( u1_rewrite3(F,H) = u1_rewrite3(G,I) & r2_rewrite3(E,F,H,A,B,C,D) ) => r2_rewrite3(E,G,I,A,B,C,D) ) ) ) ) ) ) )).
fof(t21_rfinseq,axiom,( ! [A] : ( ( v8_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => v8_valued_0(k2_rfinseq(k1_numbers,B,A)) ) ) )).
fof(t21_rfinseq2,axiom,( ! [A] : ( ( v7_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => k6_rfinseq2(A) = A ) )).
fof(t21_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => k24_valued_1(A,1) = A ) )).
fof(t21_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( r2_hidden(C,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r2_hidden(D,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & ~ r1_xxreal_0(D,C) & r1_xxreal_0(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) )).
fof(t21_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_finseq_1(C,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,k8_finseq_1(k3_rfunct_3(A,k1_numbers),B,C)),k5_rfunct_3(A,k1_numbers,k14_rfunct_3(A,B),k14_rfunct_3(A,C))) ) ) ) )).
fof(t21_rfunct_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_hidden(A,k9_xtuple_0(B)) => ( ( r5_rfunct_4(B,A) & r7_rfunct_4(B,A) ) <=> r1_fcont_1(B,A) ) ) ) ) )).
fof(t21_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_seq_2(A) & v4_partfun3(A) & v1_seq_2(B) & v4_partfun3(B) ) => ( v1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) & r1_xxreal_0(k1_rinfsup1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)),k3_xcmplx_0(k1_rinfsup1(A),k1_rinfsup1(B))) ) ) ) ) )).
fof(t21_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v4_ring_1(B,A) <=> ( ~ v2_struct_0(k2_ring_1(A,B)) & ~ v6_struct_0(k2_ring_1(A,B)) & v13_algstr_0(k2_ring_1(A,B)) & v33_algstr_0(k2_ring_1(A,B)) & v4_vectsp_1(k2_ring_1(A,B)) & v5_vectsp_1(k2_ring_1(A,B)) & v2_rlvect_1(k2_ring_1(A,B)) & v3_rlvect_1(k2_ring_1(A,B)) & v4_rlvect_1(k2_ring_1(A,B)) & v3_group_1(k2_ring_1(A,B)) & l6_algstr_0(k2_ring_1(A,B)) ) ) ) ) )).
fof(t21_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r4_gcd_1(A,B,C) <=> k7_ideal_1(A,k6_domain_1(u1_struct_0(A),B)) = k7_ideal_1(A,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(t21_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k17_ringcat1(A))) => ! [C] : ( m1_subset_1(C,u4_struct_0(k17_ringcat1(A))) => ( r2_hidden(k4_tarski(C,B),k1_relset_1(k2_zfmisc_1(u4_struct_0(k17_ringcat1(A)),u4_struct_0(k17_ringcat1(A))),u1_cat_1(k17_ringcat1(A)))) <=> k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) ) ) ) ) )).
fof(t21_rlaffin1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_rlvect_2(B,A) => r1_rlvect_2(A,k1_rlaffin1(A,B,k4_struct_0(A)),B) ) ) )).
fof(t21_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_finset_1(C) & v1_rlaffin1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( r1_tarski(B,C) & r2_tarski(k1_funct_1(k2_rlaffin2(A),C),k4_rlaffin1(A,B)) ) => C = B ) ) ) ) )).
fof(t21_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_rlsub_1(D,A) => ( r1_struct_0(D,B) => r1_struct_0(D,k1_rlvect_1(A,B,C)) ) ) ) ) ) )).
fof(t21_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => k2_rlsub_2(A,k2_rlsub_1(A),k2_rlsub_1(A)) = A ) )).
fof(t21_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_convex1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,C) & r1_xxreal_0(C,1) & r2_tarski(k4_struct_0(A),B) ) => r1_tarski(k1_convex1(A,B,C),B) ) ) ) ) )).
fof(t21_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k5_algstr_0(A,B,C) = k4_struct_0(A) => B = C ) ) ) ) )).
fof(t21_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m2_rlvect_2(D,A,B) => ( r1_tarski(B,C) => m2_rlvect_2(D,A,C) ) ) ) ) ) )).
fof(t21_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( k1_rlvect_3(A,B) = A & r1_tarski(B,C) ) => k1_rlvect_3(A,C) = A ) ) ) ) )).
fof(t21_rlvect_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ~ ( A != B & v1_rlvect_3(k7_domain_1(u1_struct_0(C),k1_rlvect_1(C,D,A),k1_rlvect_1(C,D,B)),C) ) ) ) ) ) )).
fof(t21_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_struct_0(k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),B,C)),D) & ~ r1_struct_0(k1_rlvect_3(A,C),D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r1_struct_0(k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),k7_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),B,C),k6_domain_1(u1_struct_0(A),E)),k6_domain_1(u1_struct_0(A),D))),E) ) ) ) ) ) ) ) )).
fof(t21_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(A,k5_rusub_4(B,k2_rlvect_x(B,k7_domain_1(u1_struct_0(B),D,E)),C)) <=> ? [F] : ( v1_int_1(F) & ? [G] : ( v1_int_1(G) & A = k3_rlvect_1(B,k3_rlvect_1(B,C,k1_rlvect_1(B,D,F)),k1_rlvect_1(B,E,G)) ) ) ) ) ) ) ) )).
fof(t21_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,A) & l1_vectsp_2(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_rmod_2(E,A,C) => ( r1_struct_0(E,D) => r1_struct_0(E,k4_vectsp_2(A,C,B,D)) ) ) ) ) ) ) )).
fof(t21_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ( k2_rmod_3(A,B,k1_rmod_2(A,B),C) = k1_rmod_2(A,B) & k2_rmod_3(A,B,C,k1_rmod_2(A,B)) = k1_rmod_2(A,B) ) ) ) ) )).
fof(t21_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) => r2_funct_2(u1_struct_0(B),u1_struct_0(A),C,k3_rmod_4(A,B)) ) ) ) )).
fof(t21_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k6_robbins1(A,B,k5_robbins1(A,B,C)) = B ) ) ) )).
fof(t21_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,B,B)) = k3_robbins1(A,B) ) ) )).
fof(t21_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l4_robbins1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l4_robbins1(B) ) => ( ( g4_robbins1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_robbins1(A)) = g4_robbins1(u1_struct_0(B),u2_lattices(B),u1_lattices(B),u1_robbins1(B)) & v8_robbins3(A) ) => v8_robbins3(B) ) ) ) )).
fof(t21_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_robbins4)) => ( ( A = k6_subset_1(3,1) & B = 1 ) => k3_lattices(k2_robbins4,A,B) = 3 ) ) ) )).
fof(t21_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => k4_roughs_1(A,k2_struct_0(A)) = k2_struct_0(A) ) )).
fof(t21_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,k4_subset_1(A,C,D)) = k4_subset_1(A,k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,C),k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,D)) ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,B),k9_subset_1(A,C,D)) = k9_subset_1(A,k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,B),C),k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,B),D)) ) ) ) ) )).
fof(t21_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k4_card_1(k5_kurato_1(A,B)),3) ) ) )).
fof(t21_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_xboole_0(B,C) => k1_rpr_1(A,k4_subset_1(A,B,C)) = k2_xcmplx_0(k1_rpr_1(A,B),k1_rpr_1(A,C)) ) ) ) ) )).
fof(t21_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_rsspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_rsspace4(A,B))) => ! [E] : ( v1_xreal_0(E) => ( ( k2_normsp_0(k9_rsspace4(A,B),C) = k5_numbers => C = k4_struct_0(k9_rsspace4(A,B)) ) & ( C = k4_struct_0(k9_rsspace4(A,B)) => k2_normsp_0(k9_rsspace4(A,B),C) = k5_numbers ) & k2_normsp_0(k9_rsspace4(A,B),k1_rlvect_1(k9_rsspace4(A,B),C,E)) = k3_xcmplx_0(k9_complex1(E),k2_normsp_0(k9_rsspace4(A,B),C)) & r1_xxreal_0(k2_normsp_0(k9_rsspace4(A,B),k1_algstr_0(k9_rsspace4(A,B),C,D)),k2_xcmplx_0(k2_normsp_0(k9_rsspace4(A,B),C),k2_normsp_0(k9_rsspace4(A,B),D))) ) ) ) ) ) ) )).
fof(t21_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v2_bhsp_1(C) & l1_bhsp_1(C) ) => ( ( m1_rusub_1(A,B) & m1_rusub_1(B,C) ) => m1_rusub_1(A,C) ) ) ) ) )).
fof(t21_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v1_bhsp_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => k2_rusub_2(A,k2_rusub_1(A),k2_rusub_1(A)) = A ) )).
fof(t21_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_struct_0(k1_rusub_3(A,B),C) ) ) ) )).
fof(t21_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v1_rusub_4(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_tarski(k2_rusub_4(B,C),k2_rusub_4(A,C)) ) ) ) )).
fof(t21_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => r1_struct_0(k2_rusub_5(A,B),k4_struct_0(A)) ) ) )).
fof(t21_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => k6_rvsum_1(k2_finseq_2(A,B)) = k2_finseq_2(A,k4_xcmplx_0(B)) ) ) )).
fof(t21_rvsum_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k9_rvsum_2(k9_finseq_1(B),A) = k9_finseq_1(k3_xcmplx_0(A,B)) ) ) )).
fof(t21_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v3_valued_0(A) & v1_finseq_1(A) ) => r1_xxreal_0(2,k4_rvsum_3(A)) ) )).
fof(t21_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k8_ami_3(1,k10_ami_3(k5_numbers))),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) )).
fof(t21_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( m1_scmfsa_2(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) & v2_scm_halt(D) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(E) ) => k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa6a(D,E),A,C),B) = k18_scmfsa_2(k1_scmfsa6b(E,k1_scmfsa6b(D,A,C),C),B) ) ) ) ) ) )).
fof(t21_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 4 => k6_compos_0(u1_compos_1(k1_scmfsa_2),A) = k1_tarski(k1_xboole_0) ) ) )).
fof(t21_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k4_card_1(k2_scmfsa6a(A,B)) = k1_nat_1(k4_card_1(A),k4_card_1(B)) ) ) )).
fof(t21_scmfsa6b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ~ r1_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_7(B,k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k11_scmfsa_2(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,A))),A) ) ) )).
fof(t21_scmfsa7b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ~ r4_scmfsa7b(C,D) => ! [E] : ( v7_ordinal1(E) => k1_funct_1(k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),E),D) = k1_funct_1(A,D) ) ) ) ) ) ) )).
fof(t21_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r5_scmfsa7b(C,A,B) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A))) => ( r8_pboole(u1_struct_0(k1_scmfsa_2),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),D),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),D)) & k3_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),D)) != k2_compos_1(k1_scmfsa_2) ) ) ) ) ) ) ) )).
fof(t21_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) & r5_scmfsa7b(D,B,A) ) => r5_scmfsa7b(k2_scmfsa8b(E,C,D),B,A) ) ) ) ) ) ) )).
fof(t21_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( r1_scmfsa8a(B,A,C) => ( r1_scmfsa8a(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_funct_4(A,C),C) & k2_scmfsa8a(B,A,C) = k2_scmfsa8a(k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_funct_4(A,C),C) ) ) ) ) ) )).
fof(t21_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_subset_1(C,k1_scmfsa_1,k3_scmfsa_1) => k9_scmfsa_1(k6_scmfsa_1(A,B),C) = k9_scmfsa_1(A,C) ) ) ) )).
fof(t21_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k9_scmfsa_2(A,B)) = 4 ) ) )).
fof(t21_scmfsa_m,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k1_funct_4(A,k7_memstr_0(k5_card_1(3),k1_scmfsa_2,C)),B) = k1_funct_1(A,B) ) ) ) )).
fof(t21_scmfsa_x,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k4_card_1(k5_scmfsa_x(B,A)) = k1_nat_1(k4_card_1(A),5) ) ) )).
fof(t21_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( m1_scmfsa_2(D) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) => k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(E,C),B,A),D) = k18_scmfsa_2(B,D) ) ) ) ) ) ) )).
fof(t21_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k12_scmpds_2(C,D,A,B)) = 9 ) ) ) ) )).
fof(t21_scmpds_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmpds_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( C = D & r1_tarski(B,E) & r1_tarski(B,F) & ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(A,G) => r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,F,D,G)),k2_afinsq_1(B)) ) ) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,A) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,E,C,G) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,F,D,G) ) ) ) ) ) ) ) ) ) )).
fof(t21_scmpds_5,axiom,( ! [A] : ( v1_int_1(A) => v6_compos_0(k3_scmpds_2(A),u1_compos_1(k1_scmpds_2)) ) )).
fof(t21_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ( v2_scmpds_4(A) <=> ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => r2_scmpds_6(A,B,C) ) ) ) ) )).
fof(t21_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))) & r1_tarski(C,D) & r1_scmpds_6(C,A,B) & r2_scmpds_6(C,A,B) ) => r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),E)),k2_afinsq_1(k10_compos_1(k1_scmpds_2,C))) ) ) ) ) ) ) )).
fof(t21_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F)),k5_numbers) => k6_scmpds_4(k2_scmpds_8(D,F,C),B,A) = k1_funct_4(B,k7_memstr_0(k5_card_1(2),k1_scmpds_2,k1_nat_1(k4_card_1(C),2))) ) ) ) ) ) ) ) )).
fof(t21_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k2_compos_1(k1_scmring2(A)) = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) ) )).
fof(t21_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_scmring2(A)))) => ( B = 1 => k6_compos_0(u1_compos_1(k1_scmring2(A)),B) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t21_scmyciel,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v3_scmyciel(B,A) => ! [C] : ( m1_subset_1(C,B) => ( r2_tarski(C,B) => r1_xxreal_0(k4_card_1(C),k1_nat_1(A,1)) ) ) ) ) )).
fof(t21_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( B != C & B != D & C != D ) => r2_analoaf(A,B,C,B,D) ) ) ) ) ) )).
fof(t21_seq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,A),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,B)),k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B))) ) ) ) )).
fof(t21_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v9_ordinal1(A) ) => ( k1_seq_2(A) = k5_numbers | v2_comseq_2(k37_valued_1(k4_ordinal1,k1_numbers,A)) ) ) ) )).
fof(t21_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_seqfunc(A,B,C) => ( r2_relset_1(A,k1_numbers,D,k11_seqfunc(A,B,C)) <=> ( k1_relset_1(A,D) = C & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,C) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v7_ordinal1(G) => ? [H] : ( v7_ordinal1(H) & r1_xxreal_0(G,H) & r1_xxreal_0(F,k9_complex1(k6_xcmplx_0(k1_funct_1(k1_seqfunc(A,k1_numbers,B,H),E),k1_funct_1(D,E)))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_series_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_series_1(A) <=> ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & r1_xxreal_0(B,k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(A),D),k8_nat_1(k1_numbers,k3_series_1(A),C)))) ) ) ) ) ) ) )).
fof(t21_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k1_newton(B,7) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k1_newton(B,2),k11_newton(k1_nat_1(B,1),2)),k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k1_newton(B,4)),k3_xcmplx_0(6,k1_newton(B,3))),k1_newton(B,2)),k3_xcmplx_0(4,B)),2)),24) ) ) ) )).
fof(t21_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(A,B) = 1 => r1_xxreal_0(k7_xcmplx_0(1,4),k2_xcmplx_0(k1_newton(A,3),k1_newton(B,3))) ) ) ) )).
fof(t21_series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k2_xcmplx_0(k1_newton(2,B),k1_newton(k7_xcmplx_0(1,2),B)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k6_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k1_newton(k7_xcmplx_0(1,2),B)),1) ) ) ) )).
fof(t21_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ( k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,B),k3_xcmplx_0(B,C)),k3_xcmplx_0(C,A)) = 1 => r1_xxreal_0(k3_square_1(3),k2_xcmplx_0(k2_xcmplx_0(A,B),C)) ) ) ) ) )).
fof(t21_setfam_1,axiom,( ! [A] : r1_setfam_1(k3_setfam_1(A,A),A) )).
fof(t21_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k2_setlim_1(A,B),C) = k8_subset_1(A,k3_funct_2(k4_ordinal1,k9_setfam_1(A),k2_setlim_1(A,B),k1_nat_1(C,1)),k1_funct_1(B,C)) ) ) )).
fof(t21_setlim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v2_prob_1(C) => v2_prob_1(k5_setlim_2(A,C,B)) ) ) ) )).
fof(t21_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v3_binop_1(C,B) & v1_binop_1(C,B) & v2_binop_1(C,B) ) => ! [E] : ( m1_subset_1(E,k5_finsub_1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ~ ( E != k1_xboole_0 & F != k1_xboole_0 & k7_setwiseo(A,B,C,k5_setwiseo(A,E,F),D) != k4_binop_1(B,C,k7_setwiseo(A,B,C,E,D),k7_setwiseo(A,B,C,F,D)) ) ) ) ) ) ) ) ) )).
fof(t21_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k2_partfun1(k4_ordinal1,A,k1_setwop_2(A,C,B),k4_finseq_1(C)) = C ) ) ) )).
fof(t21_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) ) => ( r1_xboole_0(k1_relset_1(k4_ordinal1,A),k1_relset_1(k4_ordinal1,B)) => k3_sf_mastr(k1_funct_4(A,B)) = k4_subset_1(k2_scmfsa_2,k3_sf_mastr(A),k3_sf_mastr(B)) ) ) ) )).
fof(t21_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(E) ) => ~ ( ( r1_sfmastr2(B,A,C,E) | v6_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) & ~ r1_xxreal_0(k1_funct_1(A,C),D) & ~ ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) != 1 & v1_scmfsa_m(C) ) & k11_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),k1_nat_1(D,1)),k2_xboole_0(k3_sf_mastr(E),k3_scmfsa_2)) != k5_relat_1(k1_scmfsa6b(E,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D),k1_funct_4(B,k1_sfmastr2(C,E))),k2_xboole_0(k3_sf_mastr(E),k3_scmfsa_2)) ) ) ) ) ) ) )).
fof(t21_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & ~ v1_xboole_0(G) & v1_finset_1(G) & v1_afinsq_1(G) & v3_compos_1(G,k1_scmfsa_2) & v4_compos_1(G,k1_scmfsa_2) & v5_amistd_1(G,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(G) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 & r1_sfmastr3(F,B,C,D,G,A) ) => ( r1_xxreal_0(k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),1),E) | k5_relat_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,G,A),k1_nat_1(E,1)),k2_xboole_0(k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(G)),k3_scmfsa_2)) = k5_relat_1(k1_scmfsa6b(k4_scmfsa6a(G,k7_scmfsa_2(B,k4_scmfsa_2(k5_numbers))),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,G,A),E),k1_funct_4(F,k4_scmfsa_x(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(G))),k4_scmfsa6a(k4_scmfsa6a(G,k7_scmfsa_2(B,k4_scmfsa_2(k5_numbers))),k8_scmfsa_2(k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(G))),k4_scmfsa_2(k5_numbers)))))),k2_xboole_0(k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(B,C,D),k3_sf_mastr(G)),k3_scmfsa_2)) ) ) ) ) ) ) ) ) ) )).
fof(t21_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ( v1_finset_1(u1_struct_0(B)) & m1_subset_1(u1_struct_0(B),k1_zfmisc_1(A)) & v1_finset_1(u1_sgraph1(B)) & m1_subset_1(u1_sgraph1(B),k1_zfmisc_1(k2_sgraph1(u1_struct_0(B)))) ) ) )).
fof(t21_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v16_lattices(A) & v17_lattices(A) & v3_sheffer1(A) & l3_lattices(A) ) => k5_lattices(A) = k2_sheffer1(A) ) )).
fof(t21_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,B)) = B ) ) ) )).
fof(t21_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( v1_matroid0(A) => g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k5_simplex0(u1_struct_0(A),u1_pre_topc(A)) ) ) )).
fof(t21_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v3_pencil_1(B) & v1_matroid0(B) & v3_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( ( r1_tarski(k3_simplex1(A,B),k2_struct_0(B)) & r1_xxreal_0(k6_simplex0(B),k5_numbers) ) => g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k4_simplex1(A,B) ) ) ) )).
fof(t21_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( v9_rltopsp1(B,k15_euclid(A)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) & ? [D] : ( v1_xreal_0(D) & r1_tarski(B,k4_euclid_9(A,C,D)) ) ) ) ) ) )).
fof(t21_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k9_complex1(k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,k12_sin_cos(B,A,E))),E))) ) ) ) ) ) ) )).
fof(t21_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k1_funct_1(k1_sin_cos2,k2_xcmplx_0(A,B)) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) & k1_funct_1(k1_sin_cos2,k6_xcmplx_0(A,B)) = k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_sin_cos2,A),k1_funct_1(k3_sin_cos2,B)),k3_xcmplx_0(k1_funct_1(k3_sin_cos2,A),k1_funct_1(k1_sin_cos2,B))) ) ) ) )).
fof(t21_sin_cos3,axiom,( k10_funct_2(k2_numbers,k2_numbers,k1_sin_cos3,k5_complex1) = k5_numbers )).
fof(t21_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k19_sin_cos(A) != k5_numbers & k17_sin_cos(B) != k5_numbers & k2_xcmplx_0(k1_sin_cos4(A),k2_sin_cos4(B)) != k7_xcmplx_0(k19_sin_cos(k6_xcmplx_0(A,B)),k3_xcmplx_0(k19_sin_cos(A),k17_sin_cos(B))) ) ) ) )).
fof(t21_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_square_1(k19_sin_cos(A)) = k7_xcmplx_0(k2_xcmplx_0(1,k19_sin_cos(k3_xcmplx_0(2,A))),2) ) )).
fof(t21_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A) & ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & k17_sin_cos(A) = k5_numbers & A != k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B) & A != k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)) ) ) ) )).
fof(t21_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(k1_square_1(A),1) & r1_xxreal_0(1,k1_square_1(k7_xcmplx_0(1,A))) ) ) )).
fof(t21_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k2_sin_cos2(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) = k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k6_sin_cos2(C)),k3_xcmplx_0(k3_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k6_sin_cos2(C))),k4_sin_cos2(A)),k4_sin_cos2(B)),k4_sin_cos2(C)) & k4_sin_cos2(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) = k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(1,k3_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B))),k3_xcmplx_0(k6_sin_cos2(B),k6_sin_cos2(C))),k3_xcmplx_0(k6_sin_cos2(C),k6_sin_cos2(A))),k4_sin_cos2(A)),k4_sin_cos2(B)),k4_sin_cos2(C)) & k6_sin_cos2(k2_xcmplx_0(k2_xcmplx_0(A,B),C)) = k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k6_sin_cos2(C)),k3_xcmplx_0(k3_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)),k6_sin_cos2(C))),k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(1,k3_xcmplx_0(k6_sin_cos2(B),k6_sin_cos2(C))),k3_xcmplx_0(k6_sin_cos2(C),k6_sin_cos2(A))),k3_xcmplx_0(k6_sin_cos2(A),k6_sin_cos2(B)))) ) ) ) ) )).
fof(t21_sin_cos9,axiom,( k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)))) = k1_rcomp_1(k4_xcmplx_0(1),1) )).
fof(t21_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t21_sppol_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( v2_funct_1(B) & r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) & v2_sppol_1(k2_topreal1(2,B,A)) & v1_sppol_1(k2_topreal1(2,B,A)) ) ) ) )).
fof(t21_sppol_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k3_topreal1(2,k2_finseq_4(u1_struct_0(k15_euclid(2)),A,B)) = k1_rltopsp1(k15_euclid(2),A,B) ) ) )).
fof(t21_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k6_pscomp_1(A),k8_pscomp_1(A)) ) )).
fof(t21_sprect_2,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => r1_sprect_2(A,A) ) )).
fof(t21_sprect_3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & v4_topreal1(B) & r1_xboole_0(k3_topreal1(2,A),k3_topreal1(2,B)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k3_topreal1(2,A)) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)),k3_topreal1(2,B)) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) ) => ( ( k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) != k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) & k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) != k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1)) ) | v4_topreal1(k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B)) ) ) ) ) )).
fof(t21_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k18_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(t21_square_1,axiom,( ~ r1_xxreal_0(2,k3_square_1(2)) )).
fof(t21_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v1_finsub_1(a_2_2_srings_1(A,B)) ) )).
fof(t21_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(B,k11_stacks_1(A,k7_stacks_1(A,B,C))) & ( ~ r1_stacks_1(A,B) => r2_tarski(B,k11_stacks_1(A,k5_stacks_1(A,B))) ) ) ) ) ) )).
fof(t21_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ( C = k6_partfun1(B) => ( r1_xxreal_0(B,k5_numbers) | v1_stirl2_1(C,B,A) ) ) ) ) ) )).
fof(t21_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( m2_subset_1(C,k16_substut1(A),k38_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => k19_substut1(A,k6_sublemma(A,B,C)) = k19_substut1(A,B) ) ) ) ) )).
fof(t21_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => r1_tarski(k3_subset_1(A,k4_subset_1(A,B,C)),k3_subset_1(A,B)) ) ) )).
fof(t21_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k4_partfun1(A,B))) => k4_substlat(A,B,C,k4_substlat(A,B,D,E)) = k4_substlat(A,B,k4_substlat(A,B,C,D),E) ) ) ) )).
fof(t21_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k16_substut1(A),k3_qc_lang1(A))) => ! [C] : ( m1_substut1(C,A,B) => ( v3_substut1(B,A) => k31_substut1(A,k24_substut1(A,B,C)) = k22_substut1(A,B) ) ) ) ) )).
fof(t21_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,D))) ) & ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k7_cqc_sim1(A,C) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,C,D))) ) ) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k7_cqc_sim1(A,k7_cqc_lang(A,B,C)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k7_cqc_lang(A,B,C),D))) ) ) ) ) ) )).
fof(t21_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_supinf_2(C,A,B) <=> ( ~ r1_xxreal_0(k1_supinf_1,k10_supinf_2(k6_numbers,A,B,C)) & ~ r1_xxreal_0(k11_supinf_2(k6_numbers,A,B,C),k2_supinf_1) ) ) ) ) ) )).
fof(t21_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,k5_algstr_0(B,E,D),C) => ( r1_orders_2(B,D,C) | k1_symsp_1(A,B,C,D,E) = k1_group_1(A) ) ) ) ) ) ) ) )).
fof(t21_sysrel,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( ( k3_relat_1(k4_relat_1(A),k6_subset_1(B,k4_relat_1(A))) = k1_xboole_0 => k9_xtuple_0(k6_subset_1(B,k4_relat_1(A))) = k6_subset_1(k9_xtuple_0(B),A) ) & ( k3_relat_1(k6_subset_1(B,k4_relat_1(A)),k4_relat_1(A)) = k1_xboole_0 => k10_xtuple_0(k6_subset_1(B,k4_relat_1(A))) = k6_subset_1(k10_xtuple_0(B),A) ) ) ) )).
fof(t21_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( v2_metric_1(B,A) & v3_metric_1(B,A) ) => r2_hidden(k4_tarski(C,C),k1_taxonom1(A,B,k5_numbers)) ) ) ) ) )).
fof(t21_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ( r1_fdiff_1(k4_taylor_1(A),B) & k1_fdiff_1(k4_taylor_1(A),B) = k3_xcmplx_0(A,k6_prepower(B,k6_xcmplx_0(A,1))) ) ) ) ) )).
fof(t21_taylor_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_taylor_1(k16_sin_cos,B,A) & r1_taylor_1(k18_sin_cos,B,A) ) ) ) )).
fof(t21_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_tbsp_1(B,A) => r1_xxreal_0(k5_numbers,k2_tbsp_1(A,B)) ) ) ) )).
fof(t21_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => v6_tops_1(k2_struct_0(A),A) ) )).
fof(t21_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( r1_tarski(B,C) => r1_tarski(k1_tdlat_2(A,B),k1_tdlat_2(A,C)) ) ) ) ) )).
fof(t21_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => v4_pre_topc(B,A) ) ) ) ) )).
fof(t21_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k3_polynom1(k15_pre_poly(A),C,k5_termord(A,B,C,D)) = k1_xboole_0 | k3_polynom1(k15_pre_poly(A),C,k5_termord(A,B,C,D)) = k1_tarski(k3_termord(A,B,C,D)) ) ) ) ) ) )).
fof(t21_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ( ~ v1_xboole_0(k6_subset_1(A,k6_domain_1(A,B))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_tex_1(A,B)))) => ( ( C = k6_domain_1(A,B) => ( v4_pre_topc(C,k3_tex_1(A,B)) & v2_tops_1(C,k3_tex_1(A,B)) ) ) & ( ( v4_pre_topc(C,k3_tex_1(A,B)) & v2_tops_1(C,k3_tex_1(A,B)) ) => ( v1_xboole_0(C) | C = k6_domain_1(A,B) ) ) ) ) ) ) ) )).
fof(t21_tex_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = u1_struct_0(A) => ( v2_tex_2(B,A) <=> v1_tdlat_3(A) ) ) ) ) )).
fof(t21_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tex_3(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_tex_3(C,B) & m1_pre_topc(C,B) ) => ( v2_tex_3(C,A) & m1_pre_topc(C,A) ) ) ) ) )).
fof(t21_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_tex_4(A,B)) <=> k2_tex_4(A,C) = k2_tex_4(A,B) ) ) ) ) )).
fof(t21_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( ( v2_xxreal_0(C) & v1_xreal_0(C) ) => ( r1_tietze(B,C,u1_struct_0(A)) <=> ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(C),C))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(C),C))))) ) ) ) ) ) )).
fof(t21_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => k2_tsep_1(A,B,B) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) ) ) )).
fof(t21_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ~ ( r2_tarski(C,A) & ! [D] : ( ( v1_toler_1(D,A,B) & m1_toler_1(D,A,B) ) => ~ r2_tarski(C,D) ) ) ) )).
fof(t21_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_borsuk_6(A,B,C) & r1_borsuk_6(A,D,C) ) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ! [G] : ( m1_borsuk_2(G,A,D,C) => ( r3_borsuk_2(A,B,C,E,F) => r3_borsuk_2(A,B,C,E,k1_borsuk_2(A,B,D,C,k1_borsuk_2(A,B,C,D,F,k2_borsuk_2(A,D,C,G)),G)) ) ) ) ) ) ) ) ) ) )).
fof(t21_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k17_borsuk_1)) => ! [D] : ( ( v3_funct_1(D) & m1_borsuk_2(D,A,B,B) ) => k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(A),D,C) = B ) ) ) ) )).
fof(t21_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_2(I,A,C,D) => ! [J] : ( m1_borsuk_2(J,A,C,D) => ! [K] : ( m1_borsuk_2(K,B,E,F) => ! [L] : ( m1_borsuk_2(L,B,E,F) => ! [M] : ( m1_borsuk_6(M,A,C,D,I,J) => ! [N] : ( m1_borsuk_6(N,B,E,F,K,L) => ( ( r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),I,k3_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),J,k3_topalg_4(A,B,k5_topmetr,H)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),K,k4_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),L,k4_topalg_4(A,B,k5_topmetr,H)) & r3_borsuk_2(A,C,D,I,J) & r3_borsuk_2(B,E,F,K,L) ) => m1_borsuk_6(k2_topalg_4(A,B,k2_borsuk_1(k5_topmetr,k5_topmetr),M,N),k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_topalg_5,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k8_toprealb(2))))) => ( ( m1_setfam_1(A,u1_struct_0(k8_toprealb(2))) & v1_tops_2(A,k8_toprealb(2)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(B,k5_topmetr)),u1_struct_0(k8_toprealb(2))) & v5_pre_topc(C,k2_borsuk_1(B,k5_topmetr),k8_toprealb(2)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(B,k5_topmetr)),u1_struct_0(k8_toprealb(2))))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ? [E] : ( ~ v1_xboole_0(E) & m2_finseq_1(E,k1_numbers) & k1_funct_1(E,1) = k5_numbers & k1_funct_1(E,k3_finseq_1(E)) = 1 & v5_valued_0(E) & ? [F] : ( v3_pre_topc(F,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) & r2_tarski(D,F) & ! [G] : ( v7_ordinal1(G) => ~ ( r2_tarski(G,k4_finseq_1(E)) & r2_tarski(k1_nat_1(G,1),k4_finseq_1(E)) & ! [H] : ( ( ~ v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k8_toprealb(2)))) ) => ~ ( r2_tarski(H,A) & r1_tarski(k7_relset_1(u1_struct_0(k2_borsuk_1(B,k5_topmetr)),u1_struct_0(k8_toprealb(2)),C,k2_zfmisc_1(F,k1_rcomp_1(k1_funct_1(E,G),k1_funct_1(E,k1_nat_1(G,1))))),H) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => m2_subset_1(k1_xboole_0,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) )).
fof(t21_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ( ( D = C & v1_topdim_1(C,A) ) => ( v1_topdim_1(D,k1_pre_topc(A,B)) & k2_topdim_1(k1_pre_topc(A,B),D) = k2_topdim_1(A,C) ) ) ) ) ) ) )).
fof(t21_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => r1_xxreal_0(k4_topdim_1(k15_euclid(A)),A) ) )).
fof(t21_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_topgen_1(A,B,C) <=> ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( E != C & r2_tarski(E,B) & r2_tarski(E,D) ) ) ) ) ) ) ) ) )).
fof(t21_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(C,A) => ( v4_pre_topc(k1_tarski(C),k5_topgen_2(A,B)) & m1_subset_1(k1_tarski(C),k1_zfmisc_1(u1_struct_0(k5_topgen_2(A,B)))) ) ) )).
fof(t21_topgen_3,axiom,( ! [A] : ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(1,B) & ~ v1_series_1(k4_topgen_3(A,B)) ) ) )).
fof(t21_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v2_tops_2(B,A) & v2_tops_2(C,A) ) => v2_tops_2(k2_topgen_4(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t21_topgen_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(k5_numbers,B) => ( r1_xxreal_0(C,k5_numbers) | ( r1_xboole_0(k1_topreal9(2,k19_euclid(A,B),C),k1_topgen_5) <=> r1_xxreal_0(C,B) ) ) ) ) ) ) )).
fof(t21_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => m1_connsp_2(k2_struct_0(A),A,B) ) ) )).
fof(t21_topmetr,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) ) => ( ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & ! [D] : ( v1_xreal_0(D) => k1_funct_1(A,D) = k2_xcmplx_0(k3_xcmplx_0(B,D),C) ) ) ) => v5_pre_topc(A,k3_topmetr,k3_topmetr) ) ) )).
fof(t21_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(B))) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) ) => ( r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(B)),C,A),k2_topreal1(B,C,A)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(B)),C,k1_nat_1(A,1)),k2_topreal1(B,C,A)) ) ) ) ) ) )).
fof(t21_topreal3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(B))) => ( ( r2_tarski(C,k8_metric_1(k14_euclid(B),E,A)) & r2_tarski(D,k8_metric_1(k14_euclid(B),E,A)) ) => r1_tarski(k1_rltopsp1(k15_euclid(B),C,D),k8_metric_1(k14_euclid(B),E,A)) ) ) ) ) ) ) )).
fof(t21_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) => ( ( r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k8_metric_1(k14_euclid(2),E,D)) & r2_tarski(A,k8_metric_1(k14_euclid(2),E,D)) & r2_tarski(k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))),k18_euclid(A)),k8_metric_1(k14_euclid(2),E,D)) & v4_topreal1(B) & C = k8_finseq_1(u1_struct_0(k15_euclid(2)),B,k2_finseq_4(u1_struct_0(k15_euclid(2)),k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))),k18_euclid(A)),A)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))),k18_euclid(A))),k1_rltopsp1(k15_euclid(2),k19_euclid(k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))),k18_euclid(A)),A)),k3_topreal1(2,B)) = k1_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) ) => ( k17_euclid(A) = k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) | k18_euclid(A) = k18_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B))) | ( r1_topreal4(k3_topreal1(2,C),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,C),k2_xboole_0(k3_topreal1(2,B),k8_metric_1(k14_euclid(2),E,D))) ) ) ) ) ) ) ) ) )).
fof(t21_topreal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( ( r1_tarski(A,B) & r1_tarski(C,D) ) => r1_tarski(k4_card_3(k4_funct_4(E,F,A,C)),k4_card_3(k4_funct_4(E,F,B,D))) ) )).
fof(t21_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_metric_1(B) & l1_metric_1(B) ) => v8_metric_1(k1_topreal7(A,B)) ) ) )).
fof(t21_topreal8,axiom,( ! [A] : ( ( v1_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => v3_topreal1(k2_rfinseq(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(t21_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( v1_xboole_0(k1_topreal9(A,C,B)) => r1_xxreal_0(B,k5_numbers) ) ) ) ) )).
fof(t21_topreala,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_topmetr)) => ( ( A = B & r1_fcont_1(B,C) ) => r1_tmap_1(k3_topmetr,k3_topmetr,A,C) ) ) ) ) )).
fof(t21_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ~ m1_subset_1(A,u1_struct_0(k11_toprealb(A))) ) )).
fof(t21_toprealc,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v3_valued_0(A) ) => r1_xxreal_0(k9_complex1(k16_rvsum_1(A)),k18_rvsum_1(k3_euclid(A))) ) )).
fof(t21_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v1_toprns_1(C,A) => ( B = k5_numbers | v1_toprns_1(k2_toprns_1(B,A,C),A) ) ) ) ) ) )).
fof(t21_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k1_tops_1(A,k7_subset_1(u1_struct_0(A),B,C)),k7_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C))) ) ) ) )).
fof(t21_tops_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v2_tops_2(B,A) & v1_finset_1(B) ) => v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t21_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v1_tops_1(B,A) => v1_tops_1(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t21_tops_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ( v5_pre_topc(B,A,k3_topmetr) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ? [E] : ( v3_pre_topc(E,A) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(C,E) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E),k2_rcomp_1(k6_xcmplx_0(k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C),D),k2_xcmplx_0(k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,C),D))) ) ) ) ) ) ) )).
fof(t21_transgeo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)))) => ( ( r1_transgeo(A,B,D) & r2_transgeo(A,C,D) ) => r1_transgeo(A,k2_transgeo(A,B,C),D) ) ) ) ) ) )).
fof(t21_treal_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k17_borsuk_1),u1_struct_0(k17_borsuk_1)) & v5_pre_topc(A,k17_borsuk_1,k17_borsuk_1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k17_borsuk_1),u1_struct_0(k17_borsuk_1)))) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(k17_borsuk_1)) & k3_funct_2(u1_struct_0(k17_borsuk_1),u1_struct_0(k17_borsuk_1),A,B) = B ) ) )).
fof(t21_trees_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ( r2_tarski(k7_finseq_1(A,C),B) => r2_tarski(A,B) ) ) ) ) )).
fof(t21_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m1_trees_2(D,A) => ~ ( r2_tarski(B,D) & r2_tarski(C,D) & ~ r2_tarski(B,k1_trees_1(C)) & ~ r1_tarski(C,B) ) ) ) ) ) )).
fof(t21_trees_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_tarski(k5_trees_3(A),k4_trees_3(A)) ) )).
fof(t21_trees_4,axiom,( ! [A] : ! [B] : k3_trees_4(A,k9_finseq_1(B)) = k7_trees_2(k7_funcop_1(k2_trees_1(1),A),k14_trees_3(k5_numbers),k1_trees_4(B)) )).
fof(t21_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_trees_3(B) ) => ( r1_tarski(A,B) => r1_tarski(k9_trees_9(A),k9_trees_9(B)) ) ) ) )).
fof(t21_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => k1_tsep_1(A,k1_tsep_1(A,B,C),D) = k1_tsep_1(A,B,k1_tsep_1(A,C,D)) ) ) ) ) )).
fof(t21_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_1(A,B,C) <=> r1_connsp_1(A,k7_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),B,C),B),k7_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),B,C),C)) ) ) ) ) )).
fof(t21_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)) ) => v3_borsuk_1(C,A,B) ) ) ) ) )).
fof(t21_turing_1,axiom,( ! [A] : ( m2_finseq_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( r1_xxreal_0(3,k3_finseq_1(A)) => ( k16_rvsum_1(k16_finseq_1(1,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,B),A))) = B & k16_rvsum_1(k16_finseq_1(2,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,B),A))) = k1_nat_1(B,k7_partfun1(k4_ordinal1,A,1)) & k16_rvsum_1(k16_finseq_1(3,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,B),A))) = k1_nat_1(k1_nat_1(B,k7_partfun1(k4_ordinal1,A,1)),k7_partfun1(k4_ordinal1,A,2)) & k16_rvsum_1(k16_finseq_1(4,k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,B),A))) = k1_nat_1(k1_nat_1(k1_nat_1(B,k7_partfun1(k4_ordinal1,A,1)),k7_partfun1(k4_ordinal1,A,2)),k7_partfun1(k4_ordinal1,A,3)) ) ) ) ) )).
fof(t21_twoscomp,axiom,( k1_funct_1(k18_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = 1 & k1_funct_1(k18_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,1)) = k5_numbers & k1_funct_1(k18_twoscomp,k11_finseq_1(k5_numbers,1,k5_numbers)) = k5_numbers & k1_funct_1(k18_twoscomp,k11_finseq_1(k5_numbers,1,1)) = k5_numbers & k1_funct_1(k18_twoscomp,k11_finseq_1(1,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k18_twoscomp,k11_finseq_1(1,k5_numbers,1)) = k5_numbers & k1_funct_1(k18_twoscomp,k11_finseq_1(1,1,k5_numbers)) = k5_numbers & k1_funct_1(k18_twoscomp,k11_finseq_1(1,1,1)) = k5_numbers )).
fof(t21_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_unialg_2(B,A) => ! [C] : ( m1_unialg_2(C,A) => k8_unialg_2(A,B,C) = k8_unialg_2(A,C,B) ) ) ) )).
fof(t21_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( B = u1_struct_0(A) => k6_lattices(k12_unialg_2(A)) = k7_unialg_2(A,B) ) ) ) )).
fof(t21_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( r2_tarski(B,k2_uniroots(A)) <=> m1_comptrig(B,k1_group_1(k1_complfld),A) ) ) ) )).
fof(t21_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k11_polynom3(A,B,C),k9_polynom3(A)) & ~ r2_funct_2(k4_ordinal1,u1_struct_0(A),B,k9_polynom3(A)) & ~ r2_funct_2(k4_ordinal1,u1_struct_0(A),C,k9_polynom3(A)) ) ) ) ) )).
fof(t21_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v9_pre_topc(A) <=> ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(C,D) & r1_tarski(k2_pre_topc(A,D),B) ) ) ) ) ) ) ) )).
fof(t21_urysohn2,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v7_ordinal1(B) => r1_xxreal_0(k3_xcmplx_0(k1_newton(2,B),A),1) ) ) ) )).
fof(t21_urysohn3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_xboole_0(B,C) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(D,A,k3_topmetr) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_xxreal_0(k5_numbers,k12_supinf_2(D,E)) & r1_xxreal_0(k12_supinf_2(D,E),1) & ( r2_tarski(E,B) => k12_supinf_2(D,E) = k5_numbers ) & ( r2_tarski(E,C) => k12_supinf_2(D,E) = 1 ) ) ) ) ) ) ) ) ) )).
fof(t21_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_valuat_1(D,A,B) => r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,D,k6_cqc_lang(A,k6_cqc_lang(A,C))),k8_valuat_1(A,B,D,C)) ) ) ) ) )).
fof(t21_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [C] : ( m2_valued_0(C,A,B) => r1_tarski(k2_relset_1(A,C),k2_relset_1(A,B)) ) ) ) )).
fof(t21_valued_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => k61_valued_1(k61_valued_1(C,B),A) = k61_valued_1(C,k2_xcmplx_0(B,A)) ) ) ) )).
fof(t21_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k50_valued_1(k50_valued_1(A,B),C) = k50_valued_1(A,k18_valued_1(B,C)) ) ) ) )).
fof(t21_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( k4_vectsp10(A,B,C) = k3_vectsp_4(A,B,k4_struct_0(B),C) & k4_struct_0(k6_vectsp10(A,B,C)) = k4_vectsp10(A,B,C) ) ) ) ) )).
fof(t21_vectsp11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ( ( k1_funct_1(k1_vectsp11(B,C,G),D) = E & k1_funct_1(k1_vectsp11(B,C,F),E) = E ) => k1_funct_1(k1_vectsp11(B,C,k2_xcmplx_0(G,k3_xcmplx_0(A,F))),D) = E ) ) ) ) ) ) ) ) )).
fof(t21_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( k4_algstr_0(B,k3_vectsp_1(A,B,C,D)) = k3_vectsp_1(A,B,k4_algstr_0(A,C),D) & k5_algstr_0(B,E,k3_vectsp_1(A,B,C,D)) = k1_algstr_0(B,E,k3_vectsp_1(A,B,k4_algstr_0(A,C),D)) ) ) ) ) ) ) )).
fof(t21_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( C != k4_struct_0(A) & D != k4_struct_0(A) & k12_algstr_0(A,B,k12_algstr_0(A,C,D)) != k12_algstr_0(A,k6_algstr_0(A,B,D),C) ) ) ) ) ) )).
fof(t21_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( r1_struct_0(E,D) => r1_struct_0(E,k3_vectsp_1(A,B,C,D)) ) ) ) ) ) ) )).
fof(t21_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v7_vectsp_1(C,A) & m1_vectsp_4(C,A,B) ) => ( k2_vectsp_5(A,B,k2_vectsp_4(A,B),C) = C & k2_vectsp_5(A,B,C,k2_vectsp_4(A,B)) = C ) ) ) ) )).
fof(t21_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_6(E,A,B) => ( k1_vectsp_6(A,B,E) = k7_domain_1(u1_struct_0(B),C,D) => ( C = D | k4_vectsp_6(A,B,E) = k3_rlvect_1(B,k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k3_vectsp_1(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) ) ) ) ) ) ) ) )).
fof(t21_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( r1_tarski(k1_vectsp_6(A,B,C),D) & ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ~ ( v2_funct_1(E) & k10_xtuple_0(E) = D & k4_vectsp_6(A,B,C) = k4_rlvect_1(B,k3_vectsp_6(A,B,E,C)) ) ) ) ) ) ) ) )).
fof(t21_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_matrlin(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_vectsp_7(C,A,B) => v1_finset_1(C) ) ) ) ) ) )).
fof(t21_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_relset_1(A,k1_numbers,k4_normsp_0(A,B,k3_vfunct_1(A,B,D,C)),k20_valued_1(A,k1_numbers,k1_numbers,k56_valued_1(A,k1_numbers,D),k4_normsp_0(A,B,C))) ) ) ) ) )).
fof(t21_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k1_numbers,k4_normsp_0(A,B,k1_vfunct_2(A,B,D,C)),k20_valued_1(A,k1_numbers,k1_numbers,k55_valued_1(A,k2_numbers,D),k4_normsp_0(A,B,C))) ) ) ) ) )).
fof(t21_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( v7_ordinal1(G) => ( v3_funct_1(E) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,F,D,E),k1_nat_1(G,1)),H) = k4_struct_0(D) ) ) ) ) ) ) ) ) ) )).
fof(t21_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_orders_2(B) & v4_yellow_0(B,A) & v7_yellow_0(B,A) & m1_yellow_0(B,A) ) => k1_funct_1(k2_funct_1(k5_waybel10(A)),B) = k6_waybel10(A,B) ) ) )).
fof(t21_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ( r1_tarski(B,u1_struct_0(A)) & v7_waybel_0(k3_waybel11(A,B,C)) ) => r2_tarski(k3_waybel11(A,B,C),k5_yellow_6(A)) ) ) ) ) )).
fof(t21_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k4_yellow_4(A,B,B) = B ) ) )).
fof(t21_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( v17_waybel_0(D,A,B) & v4_yellow_0(B,C) & v7_yellow_0(B,C) & m1_yellow_0(B,C) & v3_lattice3(C) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ~ ( r8_pboole(u1_struct_0(A),D,E) & v17_waybel_0(E,A,C) ) ) ) ) ) ) ) )).
fof(t21_waybel14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & l1_waybel_9(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & C = D & v1_tops_2(E,B) & v1_yellow_8(E,B,D) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( v1_tops_2(E,A) & v1_yellow_8(E,A,C) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) ) ) )).
fof(t21_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => k1_waybel15(A) = k7_subset_1(u1_struct_0(k7_lattice3(A)),k3_waybel_6(k7_lattice3(A)),k6_domain_1(u1_struct_0(A),k3_yellow_0(A))) ) )).
fof(t21_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ~ r2_tarski(k4_yellow_0(A),k1_waybel16(A)) ) )).
fof(t21_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> ! [D] : ( ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) ) => r3_orders_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_waybel11(A,D)),k1_waybel11(B,k6_waybel_9(A,B,C,D))) ) ) ) ) ) )).
fof(t21_waybel19,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( u1_struct_0(A) = u1_struct_0(B) => ! [C] : ( m3_yellow_9(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ( ( E = D & v4_pre_topc(D,A) ) => v4_pre_topc(E,C) ) ) ) ) ) ) ) )).
fof(t21_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v18_waybel_0(B,A,A) => v18_waybel_0(k2_waybel_1(A,A,B),A,k1_yellow_2(A,A,B)) ) ) ) )).
fof(t21_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_yellow_0(C,A) & m1_yellow_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_yellow_0(D,B) & m1_yellow_0(D,B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & u1_struct_0(C) = u1_struct_0(D) & v8_yellow_0(C,A) ) => v8_yellow_0(D,B) ) ) ) ) ) )).
fof(t21_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v3_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r2_yellow_0(A,C) => ( r2_yellow_0(k5_yellow_0(A,B),C) & k2_yellow_0(k5_yellow_0(A,B),C) = k2_yellow_0(A,C) ) ) ) ) ) )).
fof(t21_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v3_orders_2(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) <=> m1_subset_1(C,u1_struct_0(k3_waybel24(A,B))) ) ) ) )).
fof(t21_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))) & v5_pre_topc(C,k1_waybel25(A),k1_waybel25(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_waybel25(A)),u1_struct_0(k1_waybel25(B))))) ) => v5_orders_3(C,k1_waybel25(A),k1_waybel25(B)) ) ) ) )).
fof(t21_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( r1_t_0topsp(B,C) => r5_waybel_1(k1_waybel26(A,B),k1_waybel26(A,C)) ) ) ) ) )).
fof(t21_waybel27,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_yellow_0(D,k5_yellow_1(A,k5_yellow_1(B,C))) & m1_yellow_0(D,k5_yellow_1(A,k5_yellow_1(B,C))) ) => ! [E] : ( ( ~ v2_struct_0(E) & v4_yellow_0(E,k5_yellow_1(k2_zfmisc_1(A,B),C)) & m1_yellow_0(E,k5_yellow_1(k2_zfmisc_1(A,B),C)) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(E),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(D)))) ) => ( v2_waybel27(F) => v5_orders_3(F,E,D) ) ) ) ) ) ) ) )).
fof(t21_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m4_yellow_6(B,A) => ! [C] : ( m4_yellow_6(C,A) => ( r1_tarski(B,C) => r1_tarski(u1_pre_topc(k12_yellow_6(A,C)),u1_pre_topc(k12_yellow_6(A,B))) ) ) ) ) )).
fof(t21_waybel29,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_waybel_3(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => k1_waybel25(k3_waybel18(A,k2_funcop_1(A,k1_waybel29(B)))) = k1_waybel29(k4_yellow_1(A,k2_funcop_1(A,B))) ) ) )).
fof(t21_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v5_pre_topc(k4_waybel_1(A,B),A,A) ) ) )).
fof(t21_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_pre_topc(B) & v2_waybel19(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v6_waybel23(C,A) & m1_waybel23(C,A) ) => ( v1_tops_2(a_2_0_waybel31(A,C),B) & v1_cantor_1(a_2_0_waybel31(A,C),B) & m1_subset_1(a_2_0_waybel31(A,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) )).
fof(t21_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_waybel_0(A,C) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C)) ) & v3_pre_topc(B,A) ) => v13_waybel_0(B,A) ) ) ) )).
fof(t21_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => r1_tarski(k1_waybel19(A),k4_waybel28(A)) ) )).
fof(t21_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(C,A,B) <=> ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,B) ) => ! [E] : ( ( v4_waybel11(E) & m1_yellow_9(E,A) ) => ! [F] : ( ( v3_pre_topc(F,D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) ) => ( v3_pre_topc(k4_waybel_0(A,k7_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),F)),E) & m1_subset_1(k4_waybel_0(A,k7_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),F)),k1_zfmisc_1(u1_struct_0(E))) ) ) ) ) ) ) ) ) )).
fof(t21_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_waybel35(C,A,B) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,C) => ( r1_yellow_0(A,k4_waybel35(A,B,C,D)) & D = k1_yellow_0(A,k4_waybel35(A,B,C,D)) ) ) ) => r1_waybel35(A,C,B) ) ) ) ) )).
fof(t21_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) => r1_tarski(k5_waybel_0(A,B),k5_waybel_0(A,C)) ) ) ) ) )).
fof(t21_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( r2_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(B),C,k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C))) => v11_quantal1(k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C)) ) ) ) ) ) )).
fof(t21_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( m1_subset_1(C,u1_struct_0(k2_waybel_2(A,B,D))) <=> m1_subset_1(C,k5_finsub_1(B)) ) ) ) )).
fof(t21_waybel_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & v12_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r3_orders_2(A,C,k1_yellow_0(A,D)) => r2_tarski(B,D) ) ) => r1_waybel_3(A,B,C) ) ) ) ) )).
fof(t21_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r2_tarski(k3_yellow_0(A),B) ) ) )).
fof(t21_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) <=> ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => ( ! [E] : ( m1_subset_1(E,B) => v1_waybel_0(k2_relset_1(u1_struct_0(A),k1_waybel_5(B,u1_struct_0(A),k7_funcop_1(B,C),k6_waybel_5(B,C,u1_struct_0(A),D),E)),A) ) => k5_yellow_2(A,k4_waybel_5(A,k6_waybel_5(B,C,u1_struct_0(A),D))) = k4_yellow_2(A,k5_waybel_5(A,k2_waybel_5(B,u1_struct_0(A),k7_funcop_1(B,C),k6_waybel_5(B,C,u1_struct_0(A),D)))) ) ) ) ) ) ) )).
fof(t21_waybel_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => v6_waybel_6(k3_yellow_0(A),A) ) )).
fof(t21_waybel_7,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,k2_yellow_1(A)) & v13_waybel_0(B,k2_yellow_1(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) ) => ( v2_waybel_7(B,k2_yellow_1(A)) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) | r2_tarski(k6_subset_1(A,C),B) ) ) ) ) )).
fof(t21_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v3_waybel_8(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_waybel_7(B,A) => v5_waybel_6(B,A) ) ) ) )).
fof(t21_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_yellow_6(A,B))) => m1_connsp_2(C,A,B) ) ) ) )).
fof(t21_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v8_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( k4_card_1(u1_struct_0(k4_weddwitt(A))) = k4_card_1(u1_struct_0(A)) <=> v5_group_1(A) ) ) )).
fof(t21_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( v2_compts_1(B,k3_pcomps_1(A)) => ( B = k1_xboole_0 | ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( E = k1_funct_1(k5_weierstr(A,B),C) & F = k1_funct_1(k5_weierstr(A,B),D) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(E,F)),k3_metric_1(A,C,D)) ) ) ) ) ) ) ) ) ) )).
fof(t21_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => k2_wellord1(k2_wellord1(B,A),A) = k2_wellord1(B,A) ) )).
fof(t21_wellord2,axiom,( ! [A] : r4_relat_2(k1_wellord2(A),A) )).
fof(t21_xboole_1,axiom,( ! [A] : ! [B] : k3_xboole_0(A,k2_xboole_0(A,B)) = A )).
fof(t21_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(k3_xboolean(A),k7_xboolean(A,B)) = k4_xboolean(k3_xboolean(A),k3_xboolean(B)) ) ) )).
fof(t21_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(A,B),C) = k6_xcmplx_0(k6_xcmplx_0(A,C),B) ) ) ) )).
fof(t21_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k2_xcmplx_0(A,B),k2_xcmplx_0(C,D)) <=> r1_xxreal_0(k6_xcmplx_0(A,C),k6_xcmplx_0(D,B)) ) ) ) ) ) )).
fof(t21_xtuple_0,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_hidden(k6_xtuple_0(B,A,C,D),E) => r2_hidden(A,k14_xtuple_0(E)) ) )).
fof(t21_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(B,A) & ~ r1_xxreal_0(C,A) & r1_xxreal_0(k3_xxreal_0(B,C),A) ) ) ) ) )).
fof(t21_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_tarski(k4_xxreal_1(A,B),k3_xxreal_1(A,B)) ) ) )).
fof(t21_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m1_xxreal_2(B,k1_xxreal_1(A,B)) ) ) )).
fof(t21_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( ~ ( A = k1_xxreal_0 & B = k1_xxreal_0 ) & ~ ( A = k2_xxreal_0 & B = k2_xxreal_0 ) & r2_hidden(k3_xxreal_3(A,B),k1_numbers) & ~ ( r2_hidden(A,k1_numbers) & r2_hidden(B,k1_numbers) ) ) ) ) )).
fof(t21_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B))) => ( r1_waybel_3(k3_yellow_3(A,B),C,D) <=> ( r1_waybel_3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D)) & r1_waybel_3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) ) )).
fof(t21_yellow12,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( v13_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_xboole_0(B,D) => r1_xboole_0(k4_yellow_4(A,B,C),D) ) ) ) ) ) )).
fof(t21_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_yellow13(k1_tarski(u1_struct_0(A)),A,B) & m1_yellow13(k1_tarski(u1_struct_0(A)),A,B) ) ) ) )).
fof(t21_yellow14,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = k1_tarski(C) & r2_tarski(B,k2_pre_topc(A,D)) & v3_pre_topc(E,A) & r2_tarski(B,E) ) => r2_tarski(C,E) ) ) ) ) ) ) )).
fof(t21_yellow15,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => v1_yellow15(B,A) ) ) )).
fof(t21_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r3_yellow16(B,A) => v3_lattice3(B) ) ) ) )).
fof(t21_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B))) => ( ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) ) => ~ r1_tarski(k2_struct_0(k3_waybel18(A,B)),k3_tarski(E)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C))) => ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) ) => ~ ( r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(E)),k3_tarski(F)) & ! [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) => ~ ( G != k2_struct_0(k4_waybel18(A,B,C)) & r2_tarski(E,G) & r2_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),G),F) & v3_pre_topc(G,k4_waybel18(A,B,C)) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = C & F = D & ? [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(B,F,E)) & H = G & ~ ( v2_altcat_3(G,A,C,D) <=> v1_altcat_3(H,B,F,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ? [D] : ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & l1_waybel_0(D,A) & r1_waybel_0(A,D,B) & r3_waybel_9(A,D,C) ) ) ) ) ) )).
fof(t21_yellow20,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( r1_yellow20(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_yellow20(A,B))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_yellow20(A,B))) => ( ( G = C & G = E & H = D & H = F ) => k1_altcat_1(k2_yellow20(A,B),G,H) = k3_xboole_0(k1_altcat_1(A,C,D),k1_altcat_1(B,E,F)) ) ) ) ) ) ) ) ) ) ) )).
fof(t21_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => ( v2_lattice3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_yellow_0(A,k2_tarski(B,C)) ) ) ) ) )).
fof(t21_yellow_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) => k1_yellow_0(k2_yellow_1(A),B) = k3_tarski(B) ) )).
fof(t21_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => v11_quantal1(k3_struct_0(A)) ) )).
fof(t21_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => ( ~ v1_xboole_0(k4_yellow_3(A,B,C)) & ~ v1_xboole_0(k5_yellow_3(A,B,C)) ) ) ) ) )).
fof(t21_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(B,D) & r1_tarski(C,E) ) => r1_tarski(k1_yellow_4(A,B,C),k1_yellow_4(A,D,E)) ) ) ) ) ) ) )).
fof(t21_yellow_5,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k13_lattice3(A,B,C) = k3_yellow_0(A) => ( B = k3_yellow_0(A) & C = k3_yellow_0(A) ) ) ) ) ) )).
fof(t21_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( r2_waybel_0(A,B,C) => ( ~ v2_struct_0(k4_yellow_6(A,B,C)) & v7_waybel_0(k4_yellow_6(A,B,C)) ) ) ) ) )).
fof(t21_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_lattice3(A,B,C) = k13_lattice3(k7_lattice3(A),k8_lattice3(A,B),k8_lattice3(A,C)) ) ) ) )).
fof(t21_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_yellow_8(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v1_zfmisc_1(B) ) ) )).
fof(t21_yellow_9,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k1_cantor_1(A,k2_cantor_1(A,k1_cantor_1(A,B))) = k1_cantor_1(A,k2_cantor_1(A,B)) ) )).
fof(t21_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ~ v1_xboole_0(C) => ( ( v8_zf_fund1(B,A) & r2_tarski(C,B) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( m2_subset_1(E,k4_ordinal1,k1_zf_lang) => ( r2_tarski(k5_zf_fund1(D,C),B) => r2_tarski(k5_zf_fund1(k7_zf_lang(E,D),C),B) ) ) ) ) ) ) ) )).
fof(t21_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v5_zf_lang(A) => k1_funct_1(A,1) = 3 ) ) )).
fof(t21_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( v6_zf_lang(k15_zf_lang(B,C,D,A)) & k22_zf_lang(k15_zf_lang(B,C,D,A)) = B & k23_zf_lang(k15_zf_lang(B,C,D,A)) = k13_zf_lang(C,D,A) ) ) ) ) ) )).
fof(t21_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( r1_zf_model(D,E,k13_zf_lang(B,C,A)) <=> ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,D,F,G) != k3_funct_2(k1_zf_lang,D,E,G) & B != G & C != G ) ) => r1_zf_model(D,F,A) ) ) ) ) ) ) ) ) )).
fof(t21_zf_refle,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ( v6_card_fil(A) => v1_zf_model(k4_classes1(A)) ) ) )).
fof(t21_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ( r1_tarski(k2_tarski(A,B),k1_tarski(C)) => k2_tarski(A,B) = k1_tarski(C) ) )).
fof(t21_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_zfmodel1(B,A) & r2_zfmodel1(C,A) ) => r2_zfmodel1(k3_relat_1(B,C),A) ) ) ) ) )).
fof(t21_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( ( r2_ordinal2(A,B) & r2_ordinal2(B,A) ) => A = B ) ) ) )).
fof(t21_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( u1_struct_0(A) = B => v7_zmodul01(B,A) ) ) ) )).
fof(t21_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_zmodul02(C,A,k6_domain_1(u1_struct_0(A),B)) => k21_zmodul02(A,C) = k1_zmodul01(A,B,k3_funct_2(u1_struct_0(A),k4_numbers,C,B)) ) ) ) )).
fof(t21_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ! [C] : ( m1_zmodul03(C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( D != E & r2_tarski(D,C) & r2_tarski(E,C) & k13_zmodul02(A,B,D) = k13_zmodul02(A,B,E) ) ) ) ) ) ) )).
fof(t21_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ( v1_zmodul03(k4_zmodul01(A)) => v1_zmodul03(A) ) ) )).
fof(t21_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r1_struct_0(k3_zmodul05(A,B,C),k4_struct_0(A)) ) ) ) )).
fof(t21_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => r1_struct_0(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),B)),k1_zmodul01(A,B,C)) ) ) ) )).
fof(t220_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k25_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k25_member_1(A,C),k25_member_1(B,C)) ) ) ) ) )).
fof(t220_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k3_xcmplx_0(k5_xcmplx_0(A),k7_xcmplx_0(C,B)) = k7_xcmplx_0(C,k3_xcmplx_0(A,B)) ) ) ) )).
fof(t220_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k7_xcmplx_0(1,2),A) => r1_xxreal_0(k6_xcmplx_0(1,k3_xcmplx_0(2,A)),k5_numbers) ) ) )).
fof(t220_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => r2_hidden(A,k1_xxreal_1(k2_xxreal_0,B)) ) ) ) )).
fof(t221_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => r1_tarski(k25_member_1(A,k2_xcmplx_0(B,C)),k9_member_1(k25_member_1(A,B),k25_member_1(A,C))) ) ) ) )).
fof(t221_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k7_xcmplx_0(k5_xcmplx_0(A),B) = k5_xcmplx_0(k3_xcmplx_0(A,B)) ) ) )).
fof(t221_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,k7_xcmplx_0(A,3)) ) ) )).
fof(t221_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ~ r1_xxreal_0(B,A) => r2_hidden(A,k2_xxreal_1(k2_xxreal_0,B)) ) ) ) )).
fof(t222_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => r1_tarski(k25_member_1(A,k6_xcmplx_0(B,C)),k11_member_1(k25_member_1(A,B),k25_member_1(A,C))) ) ) ) )).
fof(t222_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => k5_xcmplx_0(k4_xcmplx_0(A)) = k4_xcmplx_0(k5_xcmplx_0(A)) ) )).
fof(t222_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k7_xcmplx_0(A,3),k5_numbers) ) ) )).
fof(t222_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k1_xxreal_1(A,B) = k2_xboole_0(k1_xxreal_1(A,B),k1_xxreal_1(B,A)) ) ) ) )).
fof(t223_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r2_hidden(C,A) => r2_hidden(k6_xxreal_3(C,B),k26_member_1(A,B)) ) ) ) ) )).
fof(t223_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ~ ( A != k5_numbers & A = k5_xcmplx_0(A) & A != 1 & A != k4_xcmplx_0(1) ) ) )).
fof(t223_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(A,k7_xcmplx_0(A,4)) ) ) )).
fof(t223_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ! [D] : ( v1_xxreal_0(D) => ~ ( r1_xxreal_0(B,C) & r1_xxreal_0(C,D) & r2_hidden(B,k2_xboole_0(k4_xxreal_1(C,D),k4_xxreal_1(D,A))) ) ) ) ) ) )).
fof(t224_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => k26_member_1(A,B) = a_2_18_member_1(A,B) ) ) )).
fof(t224_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(A,B),C),B) = k2_xcmplx_0(A,C) ) ) ) )).
fof(t224_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k7_xcmplx_0(A,4),k5_numbers) ) ) )).
fof(t224_xxreal_1,axiom,( k1_numbers = k4_xxreal_1(k2_xxreal_0,k1_xxreal_0) )).
fof(t225_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ~ ( r2_tarski(C,k26_member_1(A,B)) & ! [D] : ( m1_subset_1(D,k6_numbers) => ~ ( C = k6_xxreal_3(D,B) & r2_tarski(D,A) ) ) ) ) ) )).
fof(t225_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(A,B),C),B) = k2_xcmplx_0(A,C) ) ) ) )).
fof(t225_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( B != k5_numbers & ! [C] : ( v1_xreal_0(C) => A != k7_xcmplx_0(B,C) ) ) ) ) )).
fof(t225_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_tarski(k4_xxreal_1(A,B),k1_numbers) ) ) )).
fof(t226_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( r2_hidden(C,A) => r2_tarski(k7_xcmplx_0(C,B),k27_member_1(A,B)) ) ) ) ) )).
fof(t226_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(A,B),C),B) = k6_xcmplx_0(A,C) ) ) ) )).
fof(t226_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,A) => ( ~ r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(A,B),2),A) & ~ r1_xxreal_0(B,k7_xcmplx_0(k2_xcmplx_0(A,B),2)) ) ) ) ) )).
fof(t226_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r2_hidden(A,k1_numbers) => r1_tarski(k2_xxreal_1(A,B),k1_numbers) ) ) ) )).
fof(t227_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => k27_member_1(A,B) = a_2_19_member_1(A,B) ) ) )).
fof(t227_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(A,B),C),B) = k6_xcmplx_0(A,C) ) ) ) )).
fof(t227_xreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(C,A) & ~ r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t227_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r2_hidden(B,k1_numbers) => r1_tarski(k3_xxreal_1(A,B),k1_numbers) ) ) ) )).
fof(t228_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ~ ( r2_tarski(C,k27_member_1(A,B)) & ! [D] : ( v1_xcmplx_0(D) => ~ ( C = k7_xcmplx_0(D,B) & r2_hidden(D,A) ) ) ) ) ) )).
fof(t228_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(k6_xcmplx_0(A,A),B) = k4_xcmplx_0(B) ) ) )).
fof(t228_xreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ~ r1_xxreal_0(B,D) & ~ r1_xxreal_0(C,D) ) ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(C,A) ) ) ) ) ) )).
fof(t228_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( r2_hidden(A,k1_numbers) & r2_hidden(B,k1_numbers) ) => r1_tarski(k1_xxreal_1(A,B),k1_numbers) ) ) ) )).
fof(t229_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( r1_tarski(k27_member_1(A,C),k27_member_1(B,C)) => ( C = k5_numbers | r1_tarski(A,B) ) ) ) ) ) )).
fof(t229_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(A),A),B) = k4_xcmplx_0(B) ) ) )).
fof(t229_xreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ! [D] : ( v1_xxreal_0(D) => ~ ( ~ r1_xxreal_0(D,A) & ~ r1_xxreal_0(B,D) & ~ r1_xxreal_0(D,C) ) ) => ( r1_xxreal_0(B,A) | r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t229_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k4_xxreal_1(k2_xxreal_0,A) = a_1_0_xxreal_1(A) ) )).
fof(t22_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ( r1_abcmiz_0(A,B,C) => r2_tarski(k5_abcmiz_0(A,B,C),k3_abcmiz_0(A,C)) ) ) ) ) )).
fof(t22_abcmiz_1,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k4_classes1(k4_ordinal1))) ) => r2_tarski(A,k4_classes1(k4_ordinal1)) ) )).
fof(t22_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ( ~ v5_abcmiz_1(B,A,k28_abcmiz_1(A)) & m1_abcmiz_1(B,A,k14_abcmiz_1(A)) ) <=> r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k2_abcmiz_1) ) ) ) )).
fof(t22_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_absred_0(A,B,C) & r4_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t22_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => k7_xcmplx_0(1,k1_absvalue(A)) = k1_absvalue(k7_xcmplx_0(1,A)) ) )).
fof(t22_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ! [B] : ( m2_finseq_2(B,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k4_aescip_1(A),k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k5_aescip_1(A),B)) = B ) ) )).
fof(t22_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(D,k2_aff_1(A,B,C)) => ( B = C | ( r2_tarski(E,k2_aff_1(A,B,C)) <=> r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t22_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_aff_4(D,A) & v1_aff_1(B,A) & v1_aff_1(C,A) & r1_tarski(B,D) & r1_tarski(C,D) & ~ r5_aff_1(A,B,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r2_tarski(E,C) ) ) ) ) ) ) ) )).
fof(t22_afinsq_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ~ ( r2_hidden(A,k2_afinsq_1(C)) & ! [D] : ( v7_ordinal1(D) => ~ ( D = A & r2_tarski(k2_xcmplx_0(k1_afinsq_1(B),D),k2_afinsq_1(k1_ordinal4(B,C))) ) ) ) ) ) )).
fof(t22_afinsq_2,axiom,( ! [A] : ( v7_ordinal1(A) => k1_recdef_1(k4_afinsq_2(k1_tarski(A)),k5_numbers) = A ) )).
fof(t22_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(k14_afproj(A))) => m1_subset_1(B,u1_incsp_1(k13_afproj(A))) ) ) )).
fof(t22_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_afvect0(A,B,C,D) & r2_afvect0(A,B,C,E) ) => D = E ) ) ) ) ) ) )).
fof(t22_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) & r1_xboole_0(k10_xtuple_0(B),k9_xtuple_0(A)) ) => ! [C] : k3_relat_1(k1_algspec1(C,B),A) = k5_relat_1(A,C) ) ) ) )).
fof(t22_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(B,k11_algstr_4(A,D)) & r2_tarski(C,k11_algstr_4(A,E)) ) => r2_hidden(k4_tarski(k4_tarski(B,C),D),k11_algstr_4(A,k2_xcmplx_0(D,E))) ) ) ) )).
fof(t22_altcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( v14_altcat_1(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_altcat_1(A,B,B) = k1_tarski(k8_altcat_1(A,B)) ) ) ) )).
fof(t22_altcat_2,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( ( m1_altcat_2(A,B) & m1_altcat_2(B,A) ) => g2_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A)) = g2_altcat_1(u1_struct_0(B),u1_altcat_1(B),u2_altcat_1(B)) ) ) ) )).
fof(t22_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) => ( v1_altcat_3(k5_altcat_1(A,B,C,D,E,F),A,B,D) => ( k1_altcat_1(A,B,C) = k1_xboole_0 | k1_altcat_1(A,C,D) = k1_xboole_0 | k1_altcat_1(A,D,B) = k1_xboole_0 | v1_altcat_3(F,A,C,D) ) ) ) ) ) ) ) ) )).
fof(t22_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v16_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => ( v1_altcat_3(F,A,D,E) => ( k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | v2_altcat_3(k8_functor0(A,B,C,D,E,F),B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D)) ) ) ) ) ) ) ) ) )).
fof(t22_ami_2,axiom,( r2_tarski(k4_ordinal1,k1_ami_2) )).
fof(t22_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ~ v2_extpro_1(k8_ami_3(B,A),k5_card_1(2),k1_ami_3) ) ) )).
fof(t22_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( ( v1_ami_2(I) & m1_subset_1(I,u1_struct_0(k1_ami_3)) ) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k6_ami_3(H,I) & r2_tarski(I,k9_xtuple_0(B)) ) => k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),I)) = k5_int_1(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H),k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),I)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => ( r2_tarski(k2_xcmplx_0(A,1),k3_amistd_1(k5_card_1(2),k1_ami_3,A)) & ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k3_amistd_1(k5_card_1(2),k1_ami_3,A)) => r1_xxreal_0(A,B) ) ) ) ) )).
fof(t22_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => ~ ( v3_ami_wstd(C,A,B) & v2_extpro_1(C,A,B) ) ) ) ) )).
fof(t22_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_analmetr(A,F,G))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_analmetr(A,F,G))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k2_analmetr(A,F,G))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k2_analmetr(A,F,G))) => ( ( H = B & J = D & I = C & K = E ) => ( r2_analoaf(k2_analmetr(A,F,G),H,J,I,K) <=> ? [L] : ( v1_xreal_0(L) & ? [M] : ( v1_xreal_0(M) & k1_rlvect_1(A,k5_algstr_0(A,D,B),L) = k1_rlvect_1(A,k5_algstr_0(A,E,C),M) & ~ ( L = k5_numbers & M = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k1_domain_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E)),k1_analoaf(A)) <=> r1_analoaf(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t22_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r1_analort(A,E,F,B,C,D,D) ) ) ) ) ) ) )).
fof(t22_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ~ ( k2_anproj_1(A,B) = k2_anproj_1(A,C) <=> r1_anproj_1(A,B,C) ) ) ) ) ) )).
fof(t22_anproj_2,axiom,( ? [A] : ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,F),k1_rlvect_1(A,C,G)),k1_rlvect_1(A,D,H)),k1_rlvect_1(A,E,I)) = k4_struct_0(A) => ( F = k5_numbers & G = k5_numbers & H = k5_numbers & I = k5_numbers ) ) ) ) ) ) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & ? [I] : ( v1_xreal_0(I) & ? [J] : ( v1_xreal_0(J) & F = k3_rlvect_1(A,k3_rlvect_1(A,k3_rlvect_1(A,k1_rlvect_1(A,B,G),k1_rlvect_1(A,C,H)),k1_rlvect_1(A,D,I)),k1_rlvect_1(A,E,J)) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => ! [D] : ( v7_ordinal1(D) => r1_tarski(k9_aofa_000(A,B,D),k9_aofa_000(A,C,D)) ) ) ) ) ) )).
fof(t22_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) & v1_finseq_1(H) ) => ( H = k6_aofa_a00(A,B,C,D,E,F,G) <=> ( k3_finseq_1(H) = 7 & k1_funct_1(H,1) = A & k1_funct_1(H,2) = B & k1_funct_1(H,3) = C & k1_funct_1(H,4) = D & k1_funct_1(H,5) = E & k1_funct_1(H,6) = F & k1_funct_1(H,7) = G ) ) ) )).
fof(t22_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k1_msualg_1(A,C) = k12_finseq_1(u1_struct_0(A),B) => ! [D] : ( l3_msualg_1(D,A) => k3_msualg_1(A,C,D) = k4_card_3(k12_finseq_1(k10_xtuple_0(u3_msualg_1(A,D)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,D),B))) ) ) ) ) ) )).
fof(t22_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m1_aofa_i00(E,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),D) => ! [F] : ( m2_funct_2(F,B,k4_numbers,k9_funct_2(B,k4_numbers)) => k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,k42_aofa_i00(A,B,C,D,E),F) = k21_aofa_i00(B,k4_numbers,F,E) ) ) ) ) ) ) )).
fof(t22_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v1_instalg1(C) & l1_msualg_1(C) ) => ? [D] : ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v6_aofa_l00(D,A) & v7_aofa_l00(D,B) & l2_aofa_l00(D,B) & r1_subset_1(u1_struct_0(D),u1_struct_0(C)) & r1_xboole_0(u4_struct_0(D),u4_struct_0(C)) ) ) ) )).
fof(t22_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => ( ( v3_armstrng(B,A) & v4_armstrng(B,A) ) => v7_armstrng(B,A) ) ) )).
fof(t22_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => k4_arytm_0(k2_arytm_0(A,B)) = k2_arytm_0(k4_arytm_0(A),k4_arytm_0(B)) ) ) )).
fof(t22_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(B,A) => ( r1_arytm_2(B,C) | k2_arytm_1(A,k1_arytm_1(B,C)) = k7_arytm_2(k1_arytm_1(A,B),C) ) ) ) ) ) )).
fof(t22_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( ~ ( A = k1_xboole_0 & B = k1_xboole_0 ) => r1_arytm_3(k4_arytm_3(A,B),k4_arytm_3(B,A)) ) ) ) )).
fof(t22_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) => ( r1_xxreal_0(k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)),k5_numbers) | k7_asympt_0(A) = k7_asympt_0(B) ) ) ) ) )).
fof(t22_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( ~ r1_xxreal_0(1,A) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ~ r1_xxreal_0(C,1) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k5_series_1(C,2),k3_power(2,C)) ) ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & v4_asympt_0(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r2_funct_2(k4_ordinal1,k1_numbers,C,B) & r1_tarski(k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1,A))),k6_asympt_0(C)) & k6_asympt_0(k3_asympt_1(k2_xcmplx_0(1,A))) != k6_asympt_0(C) ) ) ) ) ) )).
fof(t22_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_autalg_1(C,u1_struct_0(A),u3_msualg_1(A,B),k5_autalg_1(A,B)) => r2_tarski(C,k4_autalg_1(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B))) ) ) ) )).
fof(t22_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k1_group_1(A)),k6_partfun1(u1_struct_0(A))) ) )).
fof(t22_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => v2_bagorder(k17_pre_poly(A),A) ) )).
fof(t22_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => m1_bcialg_1(A,A) ) )).
fof(t22_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => r1_bcialg_1(A,k1_bcialg_2(A,k1_bcialg_2(A,B,k1_bcialg_1(A,B,C),D),k1_bcialg_1(A,C,B),D),B) ) ) ) ) )).
fof(t22_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v6_bcialg_3(A) & l2_bcialg_1(A) ) => ( v7_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_bcialg_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,C,D) = k1_bcialg_1(A,k1_bcialg_1(A,B,D),k1_bcialg_1(A,B,C)) ) ) ) ) ) ) )).
fof(t22_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_bcialg_4(A,B,1) = B ) ) )).
fof(t22_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v8_bcialg_1(E) & m1_bcialg_5(E,A,B,C,D) ) => ( v8_bcialg_1(E) & m1_bcialg_5(E,D,B,C,D) ) ) ) ) ) ) )).
fof(t22_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k1_bcialg_1(A,k2_bcialg_6(A,B,C),k2_bcialg_6(A,B,D)) = k2_bcialg_6(A,B,k6_xcmplx_0(C,D)) ) ) ) ) )).
fof(t22_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_bcialg_1(B,A) => ( m2_bciideal(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_tarski(k1_bcialg_1(A,k1_bcialg_1(A,C,E),k1_bcialg_1(A,D,E)),B) => r2_tarski(k1_bcialg_1(A,C,D),B) ) ) ) ) ) ) ) )).
fof(t22_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bhsp_1(A,B,C) => r1_bhsp_1(A,k4_algstr_0(A,B),k4_algstr_0(A,C)) ) ) ) ) )).
fof(t22_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(C,A) & k1_bhsp_2(A,C) = B ) => ( v2_comseq_2(k2_bhsp_2(A,k3_normsp_1(A,C,B))) & k1_seq_2(k2_bhsp_2(A,k3_normsp_1(A,C,B))) = k5_numbers ) ) ) ) ) )).
fof(t22_bhsp_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v2_bhsp_1(B) & l1_bhsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => k4_bhsp_4(B,C,k1_nat_1(A,1),A) = k3_funct_2(k4_ordinal1,u1_struct_0(B),C,k1_nat_1(A,1)) ) ) ) )).
fof(t22_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => r2_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A),k9_bilinear(A,B,C,D,k7_hahnban1(A,C)),k1_bilinear(A,B,C)) ) ) ) ) )).
fof(t22_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => r1_xxreal_0(k1_binari_4(C,A),k1_binari_4(B,A)) ) ) ) ) )).
fof(t22_binarith,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( r1_binarith(A,B,C) => k6_binarith(A,k7_binarith(A,B,C)) = k1_nat_1(k6_binarith(A,B),k6_binarith(A,C)) ) ) ) ) )).
fof(t22_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_relset_1(k4_ordinal1,u1_struct_0(A),k7_binom(A,B,C,k5_numbers),k12_finseq_1(u1_struct_0(A),k1_group_1(A))) ) ) ) )).
fof(t22_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => k1_funct_1(k2_bintree2(A,1),1) = k10_binarith(k4_ordinal1,k5_numbers) ) )).
fof(t22_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,B,C) => r3_lattices(A,k1_boolealg(A,D,C),k1_boolealg(A,D,B)) ) ) ) ) ) )).
fof(t22_borsuk_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( m1_setfam_1(C,D) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(E,C) & m1_setfam_1(E,D) & ! [F] : ~ ( r2_tarski(F,E) & r1_xboole_0(F,D) ) ) ) ) ) ) ) ) )).
fof(t22_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B,A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ( C = k3_borsuk_1(B,A,E,D) => g1_pre_topc(u1_struct_0(k2_borsuk_1(k1_pre_topc(B,E),k1_pre_topc(A,D))),u1_pre_topc(k2_borsuk_1(k1_pre_topc(B,E),k1_pre_topc(A,D)))) = g1_pre_topc(u1_struct_0(k1_pre_topc(k2_borsuk_1(B,A),C)),u1_pre_topc(k1_pre_topc(k2_borsuk_1(B,A),C))) ) ) ) ) ) ) )).
fof(t22_borsuk_4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_connsp_1(A,k5_topmetr) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r2_hidden(B,A) & r2_hidden(C,A) ) => r1_tarski(k1_rcomp_1(B,C),A) ) ) ) ) )).
fof(t22_borsuk_5,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( ( v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ ( A != k5_numbers & v1_rat_1(k3_xcmplx_0(A,B)) ) ) ) )).
fof(t22_borsuk_6,axiom,( v4_pre_topc(a_0_10_borsuk_6,k2_borsuk_1(k3_topmetr,k3_topmetr)) & m1_subset_1(a_0_10_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)))) )).
fof(t22_bspace,axiom,( ! [A] : v3_rlvect_1(k7_bspace(A)) )).
fof(t22_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( v2_bvfunc_2(C,A) => r1_bvfunc_1(A,k7_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,B,C,E),C,D)) ) ) ) ) ) ) )).
fof(t22_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_eqrel_1(G,A) => ( B = k3_enumset1(C,D,E,F,G) => ( C = D | D = E | D = F | D = G | k5_bvfunc_2(A,D,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,C,E),F),G) ) ) ) ) ) ) ) ) ) )).
fof(t22_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k10_bvfunc_1(A,k9_bvfunc_1(A,k14_margrel1(A,B),B),B),k12_bvfunc_1(A)) ) ) )).
fof(t22_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v3_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k13_bvfunc_1(A,B),B) & r2_funct_2(A,k5_margrel1,k14_bvfunc_1(A,B),B) ) ) ) )).
fof(t22_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r2_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k5_bvfunc_1(A,D,C),B,E),k5_bvfunc_1(A,D,k6_bvfunc_2(A,C,B,E))) ) ) ) ) ) ) )).
fof(t22_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r1_bvfunc_1(A,k7_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),D)) ) ) ) ) ) ) )).
fof(t22_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,B,C,D) => r1_bvfunc_1(A,k7_bvfunc_2(A,B,C,D),k7_bvfunc_2(A,B,C,E)) ) ) ) ) ) ) )).
fof(t22_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,B,k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k9_bvfunc_1(A,B,C),C),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t22_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,E),k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k5_bvfunc_1(A,B,D),k5_bvfunc_1(A,C,E)),k12_bvfunc_1(A)) ) ) ) ) ) ) )).
fof(t22_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k11_c0sp1(A)) & v13_algstr_0(k11_c0sp1(A)) & v2_rlvect_1(k11_c0sp1(A)) & v3_rlvect_1(k11_c0sp1(A)) & v4_rlvect_1(k11_c0sp1(A)) & v5_rlvect_1(k11_c0sp1(A)) & v6_rlvect_1(k11_c0sp1(A)) & v7_rlvect_1(k11_c0sp1(A)) & v2_funcsdom(k11_c0sp1(A)) & v1_vectsp_1(k11_c0sp1(A)) & v3_vectsp_1(k11_c0sp1(A)) & v3_group_1(k11_c0sp1(A)) & v5_group_1(k11_c0sp1(A)) & l1_funcsdom(k11_c0sp1(A)) ) ) )).
fof(t22_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k5_c0sp2(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k5_c0sp2(A))))) ) => ( v1_rsspace3(B,k5_c0sp2(A)) => v3_normsp_1(B,k5_c0sp2(A)) ) ) ) )).
fof(t22_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),k7_cqc_lang(A,B,C)) => r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),C) ) ) ) ) ) )).
fof(t22_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),k7_cqc_lang(A,B,C)))) => r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),B))) ) ) ) ) ) )).
fof(t22_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( k3_card_1(A) = k3_card_1(B) => A = B ) ) ) )).
fof(t22_card_2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ! [C] : ( v1_card_1(C) => k2_card_2(k2_card_2(A,B),C) = k2_card_2(A,k2_card_2(B,C)) ) ) ) )).
fof(t22_card_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r2_hidden(A,k3_card_3(k2_card_3(B))) <=> ( r2_hidden(k2_xtuple_0(A),k9_xtuple_0(B)) & r2_hidden(k1_xtuple_0(A),k1_funct_1(B,k2_xtuple_0(A))) & A = k4_tarski(k1_xtuple_0(A),k2_xtuple_0(A)) ) ) ) )).
fof(t22_card_4,axiom,( ! [A] : ! [B] : ( v1_finset_1(A) => ( A = k1_xboole_0 | v1_finset_1(B) | k2_card_2(k1_card_1(B),k1_card_1(A)) = k1_card_1(B) ) ) )).
fof(t22_card_5,axiom,( k1_card_5(k4_ordinal1) = k4_ordinal1 )).
fof(t22_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ! [B] : ( ( v3_card_fil(B,A) & m1_card_fil(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_tarski(C,B) <=> ~ r2_tarski(C,k1_card_fil(A,B)) ) ) ) ) )).
fof(t22_card_fin,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ~ ( r2_tarski(B,k2_card_fin(C,D,A)) & r2_tarski(A,k10_xtuple_0(D)) & ! [E] : ~ ( r2_tarski(E,k9_xtuple_0(D)) & k1_funct_1(D,E) = A & r2_tarski(B,k1_funct_1(C,E)) ) ) ) ) )).
fof(t22_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( r2_tarski(k4_ordinal1,k1_card_5(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => r2_tarski(k3_ordinal2(k10_xtuple_0(C)),A) ) ) ) ) )).
fof(t22_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k3_graph_1(A,C) = B => k1_cat_1(A,k4_cat_1(A,B),C) = C ) ) ) ) )).
fof(t22_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,C,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,B))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ( ( v1_cat_2(g1_cat_1(B,C,D,E,F),A) & m3_cat_2(g1_cat_1(B,C,D,E,F),A) ) => ( C = k3_tarski(a_2_0_cat_2(A,B)) & D = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u1_graph_1(A),C) & E = k2_partfun1(u4_struct_0(A),u1_struct_0(A),u2_graph_1(A),C) & F = k1_realset1(u1_cat_1(A),C) ) ) ) ) ) ) ) ) )).
fof(t22_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v1_cat_3(D,A,B,C) => v8_cat_1(D,A,B,C) ) ) ) ) ) )).
fof(t22_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,B) != k1_xboole_0 & ~ ( v1_cat_3(k7_cat_4(A,B,C),A,k2_cat_4(A,B,C),B) & v1_cat_3(k8_cat_4(A,B,C),A,k2_cat_4(A,B,C),C) ) ) ) ) ) )).
fof(t22_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,C) => ( r1_funct_2(u4_struct_0(A),u4_struct_0(B),u4_struct_0(A),u4_struct_0(C),D,E) => k4_cat_5(A,B,D) = k4_cat_5(A,C,E) ) ) ) ) ) ) )).
fof(t22_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( v11_cat_6(B,A) <=> m1_subset_1(B,k6_cat_6(A)) ) ) ) )).
fof(t22_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k6_cat_6(A)) => ~ ( k1_cat_7(A,B,C) != k1_xboole_0 & k1_cat_7(A,C,D) != k1_xboole_0 & k1_cat_7(A,B,D) = k1_xboole_0 ) ) ) ) ) )).
fof(t22_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( v1_xboole_0(k2_catalan2(B,A)) <=> ~ r1_xxreal_0(k3_xcmplx_0(2,A),B) ) ) ) )).
fof(t22_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u4_struct_0(k3_catalg_1(u1_struct_0(A))),u4_struct_0(k3_catalg_1(u1_struct_0(B))),k12_catalg_1(A,B,C),k8_catalg_1(u1_struct_0(A),D)) = k8_catalg_1(u1_struct_0(B),k8_cat_1(A,B,C,D)) ) ) ) ) )).
fof(t22_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_algstr_0(B,A) & v3_algstr_0(C,A) ) => v3_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) ) ) ) ) )).
fof(t22_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_cc0sp1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_cc0sp1(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_cc0sp1(A))) => ( ( B = E & C = F & D = G ) => ( G = k1_algstr_0(k7_cc0sp1(A),E,F) <=> ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,k2_numbers,D,H) = k2_xcmplx_0(k3_funct_2(A,k2_numbers,B,H),k3_funct_2(A,k2_numbers,C,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_cc0sp2(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_cc0sp2(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_cc0sp2(A))) => ( ( B = E & C = F & D = G ) => ( G = k3_rlvect_1(k5_cc0sp2(A),E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,D,H) = k2_xcmplx_0(k3_funct_2(u1_struct_0(A),k2_numbers,B,H),k3_funct_2(u1_struct_0(A),k2_numbers,C,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_cfuncdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ~ ( C = k2_tarski(A,B) & A != B & ! [D] : ( m2_funct_2(D,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ! [E] : ( m2_funct_2(E,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ~ ( ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ( k1_binop_1(k1_cfuncdom(C),k1_funct_1(k3_cfuncdom(C),k4_tarski(F,D)),k1_funct_1(k3_cfuncdom(C),k4_tarski(G,E))) = k4_cfuncdom(C) => ( F = k5_numbers & G = k5_numbers ) ) ) ) & ! [F] : ( m2_funct_2(F,C,k2_numbers,k9_funct_2(C,k2_numbers)) => ? [G] : ( v1_xcmplx_0(G) & ? [H] : ( v1_xcmplx_0(H) & F = k1_binop_1(k1_cfuncdom(C),k1_funct_1(k3_cfuncdom(C),k4_tarski(G,D)),k1_funct_1(k3_cfuncdom(C),k4_tarski(H,E))) ) ) ) ) ) ) ) ) )).
fof(t22_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => r2_relset_1(A,k2_numbers,k25_valued_1(A,k2_numbers,B,k3_xcmplx_0(C,D)),k25_valued_1(A,k2_numbers,k25_valued_1(A,k2_numbers,B,D),C)) ) ) ) ) )).
fof(t22_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v3_cgames_1(A) & v4_cgames_1(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k4_finseq_1(A)) => ( r1_xxreal_0(B,C) => r1_ordinal1(k9_cgames_1(k1_funct_1(A,B)),k9_cgames_1(k1_funct_1(A,C))) ) ) ) ) )).
fof(t22_chain_1,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( m2_chain_1(k4_tarski(B,C),A) & m2_chain_1(k4_tarski(D,E),A) ) => ( r1_xxreal_0(B,C) | r1_xxreal_0(D,E) | ( B = D & C = E ) ) ) ) ) ) ) ) )).
fof(t22_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ! [C] : ( B != C => ! [D] : ( m3_glib_001(D,A) => ~ ( k13_glib_001(A,D) = k2_tarski(B,C) & ! [E] : ~ r1_glib_000(A,B,C,E) ) ) ) ) )).
fof(t22_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & r1_xboole_0(k2_msafree2(B),k3_msafree2(A)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(C,F))) => ! [J] : ( m1_subset_1(J,k4_card_3(u3_msualg_1(A,D))) => ( J = k5_relat_1(I,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,k4_card_3(u3_msualg_1(B,E))) => ( ( K = k5_relat_1(I,u1_struct_0(B)) & v1_circuit2(k5_facirc_1(A,D,J,G),A,D) & v1_circuit2(k5_facirc_1(B,E,K,H),B,E) ) => v1_circuit2(k5_facirc_1(C,F,I,k4_xxreal_0(G,H)),C,F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,B) & l3_msualg_1(D,B) ) => ( r2_circcomb(A,B,C,D) => k3_circcomb(A,B,C,D) = k3_circcomb(B,A,D,C) ) ) ) ) ) )).
fof(t22_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlvect_2(C,A) => ( ( v1_circled1(C,A) & k3_rlvect_2(A,C) = k6_domain_1(u1_struct_0(A),B) ) => ( k3_funct_2(u1_struct_0(A),k1_numbers,C,B) = 1 & k6_rlvect_2(A,C) = k1_rlvect_1(A,B,k3_funct_2(u1_struct_0(A),k1_numbers,C,B)) ) ) ) ) ) )).
fof(t22_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v4_msafree2(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m4_msaterm(C,A,B) => ! [D] : ( m3_msaterm(D,A,C) => ( ! [E] : ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ~ ( r2_tarski(E,k9_trees_9(D)) & k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A)) & k1_msualg_1(A,F) = k1_xboole_0 ) ) ) => ! [E] : ( m1_subset_1(E,k4_card_3(u3_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B)))) => ! [F] : ( m1_circtrm1(F,A,C,D,B,E) => ! [G] : ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C)) => ( r2_tarski(G,k9_trees_9(D)) => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(G))),G) & k1_funct_1(k5_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k9_xtuple_0(G))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_ckspace1(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_ckspace1(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_ckspace1(A,B,C))) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [H] : ( ( v1_funct_1(H) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [I] : ( ( v1_funct_1(I) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( G = D & H = E & I = F ) => ( F = k8_group_1(k2_ckspace1(A,B,C),D,E) <=> ! [J] : ( m2_subset_1(J,k1_euclid(A),C) => k1_funct_1(I,J) = k3_xcmplx_0(k1_funct_1(G,J),k1_funct_1(H,J)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_classes1,axiom,( ! [A] : ( v1_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( B != k1_xboole_0 => v1_ordinal1(k3_classes1(A,B)) ) ) ) )).
fof(t22_classes2,axiom,( ! [A] : ! [B] : ( v2_classes1(B) => ( ( ~ ( r2_tarski(A,B) & v1_ordinal1(B) ) & ~ ( r2_tarski(A,B) & r1_tarski(A,B) ) & ~ ( r2_tarski(k1_card_1(A),k1_card_1(B)) & r1_tarski(A,B) ) ) | r1_tarski(k1_funct_2(A,B),B) ) ) )).
fof(t22_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => m1_clvect_1(g1_clvect_1(k8_clopban1(A,B),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k6_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k7_csspace(k6_clopban1(A,B),k8_clopban1(A,B))),k6_clopban1(A,B)) ) ) )).
fof(t22_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k5_struct_0(k8_clopban2(A)) = k6_clopban2(A) ) )).
fof(t22_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clopban3(B,A) => ! [C] : ( v7_ordinal1(C) => v1_clopban3(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t22_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,k1_bhsp_4(A,k4_clopban4(k1_nat_1(D,1),A,C,B)),D) = k3_rlvect_1(A,k1_normsp_0(A,k1_bhsp_4(A,k4_clopban4(D,A,C,B)),D),k1_normsp_0(A,k1_bhsp_4(A,k3_clopban4(k1_nat_1(D,1),A,C,B)),D)) ) ) ) ) )).
fof(t22_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ! [D] : ( m2_pboole(D,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( ( v3_closure1(C,A,B) & v3_closure1(D,A,B) & r6_pboole(A,k3_closure1(A,B,D,C),k3_closure1(A,B,C,D)) ) => v3_closure1(k3_closure1(A,B,D,C),A,B) ) ) ) ) )).
fof(t22_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_closure2(A,D))) => ( E = k2_tarski(B,C) => r6_pboole(A,k2_mboolean(A,k5_closure2(A,D,E)),k2_pboole(A,B,C)) ) ) ) ) ) )).
fof(t22_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v6_clvect_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k5_algstr_0(A,C,D),B) ) ) ) ) ) ) )).
fof(t22_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(C,A) & k1_clvect_2(A,C) = B ) => ( v2_comseq_2(k2_clvect_2(A,k3_normsp_1(A,C,B))) & k1_seq_2(k2_clvect_2(A,k3_normsp_1(A,C,B))) = k5_numbers ) ) ) ) ) )).
fof(t22_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => k3_clvect_3(A,B,k1_nat_1(C,1),C) = k1_normsp_0(A,B,k1_nat_1(C,1)) ) ) ) )).
fof(t22_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => ( k6_coh_sp(A,C) = k7_coh_sp(A,B) => ( k2_xfamily(k9_coh_sp(A,B,C)) = k3_relat_1(k2_xfamily(B),k2_xfamily(C)) & k6_coh_sp(A,k9_coh_sp(A,B,C)) = k6_coh_sp(A,B) & k7_coh_sp(A,k9_coh_sp(A,B,C)) = k7_coh_sp(A,C) ) ) ) ) )).
fof(t22_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v1_classes1(k9_xtuple_0(A)) & v3_cohsp_1(k9_xtuple_0(A)) ) => ( v9_cohsp_1(A) <=> ( v6_cohsp_1(A) & ! [B] : ! [C] : ~ ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k1_funct_1(A,B)) & ! [D] : ~ ( v1_finset_1(D) & r1_tarski(D,B) & r2_tarski(C,k1_funct_1(A,D)) & ! [E] : ( ( r1_tarski(E,B) & r2_tarski(C,k1_funct_1(A,E)) ) => r1_tarski(D,E) ) ) ) ) ) ) ) )).
fof(t22_collsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & l1_collsp(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & k1_collsp(A,B,C) = u1_struct_0(A) ) ) ) ) )).
fof(t22_combgras,axiom,( ! [A] : ( l1_incsp_1(A) => ! [B] : ( l1_combgras(B,A,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A))) => ( ( v7_combgras(B,A) & v2_combgras(C,A) ) => ( v2_combgras(k4_combgras(A,A,B,C),A) & v2_combgras(k5_combgras(A,A,B,C),A) ) ) ) ) ) )).
fof(t22_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v8_compl_sp(A) <=> ! [B] : ( ( v2_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v2_prob_1(B) & k2_kurato_0(u1_struct_0(A),B) = k1_xboole_0 ) ) ) ) )).
fof(t22_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k4_complex1(A) = k5_numbers => ( k3_complex1(A) = k5_numbers | ( k3_complex1(k5_xcmplx_0(A)) = k2_real_1(k3_complex1(A)) & k4_complex1(k5_xcmplx_0(A)) = k5_numbers ) ) ) ) )).
fof(t22_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k1_comptrig(A) = k28_sin_cos <=> ( ~ r1_xxreal_0(k5_numbers,k3_complex1(A)) & k4_complex1(A) = k5_numbers ) ) ) )).
fof(t22_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( A != k4_struct_0(k1_complfld) => k9_algstr_0(k1_complfld,A) = k12_algstr_0(k1_complfld,k5_struct_0(k1_complfld),A) ) ) )).
fof(t22_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k1_complsp2(k1_complsp2(A)) = A ) )).
fof(t22_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => r1_tarski(k63_valued_1(B),k63_valued_1(k7_compos_1(A,B,C))) ) ) ) )).
fof(t22_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => ( ( r2_compos_2(B,C) & r2_compos_2(C,B) ) => B = C ) ) ) ) )).
fof(t22_comptrig,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,k2_rcomp_1(k28_sin_cos,k3_xcmplx_0(2,k28_sin_cos)))) )).
fof(t22_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) <=> ( v1_tops_2(B,g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)))))) ) ) ) )).
fof(t22_comput_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v2_margrel1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ( ( v3_margrel1(B,A) & ~ v1_xboole_0(B) ) <=> k1_relset_1(k3_finseq_2(A),B) = k4_finseq_2(k18_margrel1(B),A) ) ) )).
fof(t22_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k31_valued_1(k4_ordinal1,k2_numbers,k31_valued_1(k4_ordinal1,k2_numbers,A)),A) ) )).
fof(t22_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k3_comseq_2(k31_valued_1(k4_ordinal1,k2_numbers,A)) = k4_xcmplx_0(k3_comseq_2(A)) ) )).
fof(t22_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_ordinal1) & v5_valued_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ( r2_funct_2(k4_ordinal1,k1_numbers,k7_comseq_3(k9_comseq_3(B,A)),k2_valued_0(k1_numbers,B,k7_comseq_3(A))) & r2_funct_2(k4_ordinal1,k1_numbers,k8_comseq_3(k9_comseq_3(B,A)),k2_valued_0(k1_numbers,B,k8_comseq_3(A))) ) ) ) )).
fof(t22_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u4_struct_0(A))) => ( ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & ~ v4_conlat_1(g2_conlat_1(A,C,B),A) & v6_conlat_1(g2_conlat_1(A,C,B),A) & l2_conlat_1(g2_conlat_1(A,C,B),A) ) <=> k3_funct_2(k9_setfam_1(u1_struct_0(A)),k9_setfam_1(u4_struct_0(A)),k1_conlat_1(A),k3_funct_2(k1_zfmisc_1(u4_struct_0(A)),k9_setfam_1(u1_struct_0(A)),k2_conlat_1(A),B)) = B ) ) ) )).
fof(t22_conlat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => r1_filter_1(k11_conlat_1(k7_conlat_2(A)),k1_lattice2(k11_conlat_1(A))) ) )).
fof(t22_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v2_connsp_1(C,A) & ~ r1_xboole_0(C,B) & k7_subset_1(u1_struct_0(A),C,B) != k1_struct_0(A) & r1_xboole_0(C,k2_tops_1(A,B)) ) ) ) ) )).
fof(t22_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(D,C) <=> ( v3_pre_topc(D,A) & v4_pre_topc(D,A) & r2_tarski(B,D) ) ) ) & C = k1_xboole_0 ) ) ) ) )).
fof(t22_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( m1_connsp_3(B,A) & m1_connsp_3(C,A) ) => ( m1_connsp_3(k4_subset_1(u1_struct_0(A),B,C),A) & m1_connsp_3(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(t22_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( v2_convex1(B,A) & r1_xxreal_0(k1_funct_1(B,C),k5_numbers) & r2_tarski(C,k3_rlvect_2(A,B)) ) ) ) ) )).
fof(t22_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => ! [C] : ( m1_convex4(C,A) => ! [D] : ( m1_convex4(D,A) => r1_convex4(A,k5_convex4(A,B,k5_convex4(A,C,D)),k5_convex4(A,k5_convex4(A,B,C),D)) ) ) ) ) )).
fof(t22_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( ( v5_qc_lang1(C,A) & k21_qc_lang1(A,C) = B ) => k13_cqc_lang(A,C,B) = C ) ) ) ) )).
fof(t22_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => k13_cqc_sim1(A,k5_cqc_lang(A)) = k26_qc_lang1(A) ) )).
fof(t22_cqc_the1,axiom,( v1_finset_1(k2_cqc_the1) )).
fof(t22_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ( B = k13_cqc_lang(A,D,E) & C = k13_cqc_lang(A,D,F) ) => ( r2_tarski(F,k24_qc_lang1(A,D)) | v2_cqc_the1(k8_cqc_lang(A,B,k12_cqc_lang(A,F,C)),A) ) ) ) ) ) ) ) ) )).
fof(t22_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => k1_cqc_the1(A,k4_subset_1(k3_cqc_lang(A),B,C)) = k1_cqc_the1(A,k4_subset_1(k3_cqc_lang(A),k1_cqc_the1(A,B),k1_cqc_the1(A,C))) ) ) ) )).
fof(t22_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_csspace(A,k4_algstr_0(A,B),C) = k10_csspace(A,B,k4_algstr_0(A,C)) ) ) ) )).
fof(t22_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_csspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_csspace4(A,B))) => ! [E] : ( v1_xcmplx_0(E) => ( ( k2_normsp_0(k9_csspace4(A,B),C) = k5_numbers => C = k4_struct_0(k9_csspace4(A,B)) ) & ( C = k4_struct_0(k9_csspace4(A,B)) => k2_normsp_0(k9_csspace4(A,B),C) = k5_numbers ) & k2_normsp_0(k9_csspace4(A,B),k1_clvect_1(k9_csspace4(A,B),C,E)) = k3_xcmplx_0(k9_complex1(E),k2_normsp_0(k9_csspace4(A,B),C)) & r1_xxreal_0(k2_normsp_0(k9_csspace4(A,B),k1_algstr_0(k9_csspace4(A,B),C,D)),k2_xcmplx_0(k2_normsp_0(k9_csspace4(A,B),C),k2_normsp_0(k9_csspace4(A,B),D))) ) ) ) ) ) ) )).
fof(t22_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v2_dblseq_1(k4_dblseq_2(A)) <=> v2_dblseq_1(k3_dblseq_2(A)) ) ) )).
fof(t22_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v6_decomp_1(C,A,B) <=> ( v8_decomp_1(C,A,B) & v17_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t22_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ! [K] : ( m1_subset_1(K,A) => ! [L] : ( m1_subset_1(L,A) => ! [M] : ( m1_subset_1(M,A) => ! [N] : ( m1_subset_1(N,A) => ! [O] : ( m1_subset_1(O,A) => ! [P] : ( m1_subset_1(P,A) => ! [Q] : ( m1_subset_1(Q,A) => ! [R] : ( m1_subset_1(R,A) => ! [S] : ( m1_subset_1(S,A) => ! [T] : ( m1_subset_1(T,A) => ! [U] : ( m1_subset_1(U,A) => ! [V] : ( m1_subset_1(V,A) => ! [W] : ( m1_subset_1(W,A) => ! [X] : ( m1_subset_1(X,A) => ! [Y] : ( m1_subset_1(Y,A) => ! [Z] : ( m1_subset_1(Z,A) => ! [A1] : ( m1_subset_1(A1,A) => ! [B1] : ( m1_subset_1(B1,A) => ! [C1] : ( m1_subset_1(C1,A) => ! [D1] : ( m1_subset_1(D1,A) => ! [E1] : ( m1_subset_1(E1,A) => ! [F1] : ( m1_subset_1(F1,A) => ! [G1] : ( m1_subset_1(G1,A) => ? [H1] : ( m2_finseq_1(H1,A) & v3_card_1(H1,32) & k1_funct_1(H1,1) = B & k1_funct_1(H1,2) = C & k1_funct_1(H1,3) = D & k1_funct_1(H1,4) = E & k1_funct_1(H1,5) = F & k1_funct_1(H1,6) = G & k1_funct_1(H1,7) = H & k1_funct_1(H1,8) = I & k1_funct_1(H1,9) = J & k1_funct_1(H1,10) = K & k1_funct_1(H1,11) = L & k1_funct_1(H1,12) = M & k1_funct_1(H1,13) = N & k1_funct_1(H1,14) = O & k1_funct_1(H1,15) = P & k1_funct_1(H1,16) = Q & k1_funct_1(H1,17) = R & k1_funct_1(H1,18) = S & k1_funct_1(H1,19) = T & k1_funct_1(H1,20) = U & k1_funct_1(H1,21) = V & k1_funct_1(H1,22) = W & k1_funct_1(H1,23) = X & k1_funct_1(H1,24) = Y & k1_funct_1(H1,25) = Z & k1_funct_1(H1,26) = A1 & k1_funct_1(H1,27) = B1 & k1_funct_1(H1,28) = C1 & k1_funct_1(H1,29) = D1 & k1_funct_1(H1,30) = E1 & k1_funct_1(H1,31) = F1 & k1_funct_1(H1,32) = G1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ~ ( r2_tarski(C,k6_dickson(A,B)) & v1_xboole_0(C) ) ) ) )).
fof(t22_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),B),k1_nat_1(A,1)),C) = k2_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(D,B),k1_nat_1(A,1)),C),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(E,B),k1_nat_1(A,1)),C)) ) ) ) ) ) )).
fof(t22_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( r1_zfmisc_1(A,B,C) => k10_diff_1(k1_fcont_1(D,E),A,B,C) = k5_numbers ) ) ) ) ) ) )).
fof(t22_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k9_diff_1(C,k6_xcmplx_0(B,k7_xcmplx_0(A,2)),k2_xcmplx_0(B,k7_xcmplx_0(A,2))) = k7_xcmplx_0(k1_funct_1(k5_diff_1(C,A),B),A) ) ) ) )).
fof(t22_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(A,k1_relset_1(k1_numbers,k26_sin_cos)) & r2_hidden(B,k1_relset_1(k1_numbers,k26_sin_cos)) ) => k9_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k26_sin_cos),k18_sin_cos),A,B) = k9_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),A,B) ) ) ) )).
fof(t22_dilworth,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( r2_tarski(C,k4_dilworth(A,B)) & r2_tarski(C,k3_dilworth(A,B)) ) => r2_tarski(C,B) ) ) ) )).
fof(t22_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_diraf(A,B,C,D,E) => ( r2_diraf(A,B,C,E,D) & r2_diraf(A,C,B,D,E) & r2_diraf(A,C,B,E,D) & r2_diraf(A,D,E,B,C) & r2_diraf(A,D,E,C,B) & r2_diraf(A,E,D,B,C) & r2_diraf(A,E,D,C,B) ) ) ) ) ) ) ) )).
fof(t22_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( v1_dist_1(B,A) & r1_dist_1(A,B,C) ) => v1_dist_1(C,A) ) ) ) ) )).
fof(t22_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_2(B,A,k3_finseq_2(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,k2_bvfunc_1(A,C,D)),k7_margrel1) = k3_xboole_0(k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,C),k7_margrel1),k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,D),k7_margrel1)) ) ) ) ) )).
fof(t22_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => B = a_2_1_domain_1(A,B) ) ) )).
fof(t22_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_dualsp02(A) <=> k8_normsp_3(A,k17_dualsp01(k17_dualsp01(A)),k2_dualsp02(A)) = k17_dualsp01(k17_dualsp01(A)) ) ) )).
fof(t22_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( ( r2_tarski(C,k5_dynkin(A,B)) & r2_tarski(D,k5_dynkin(A,B)) & v2_finsub_1(B) ) => r2_tarski(k9_subset_1(A,C,D),k5_dynkin(A,B)) ) ) ) ) ) )).
fof(t22_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k3_relat_1(k13_e_siec(A),k13_e_siec(A)) = k13_e_siec(A) & k3_relat_1(k4_xboole_0(k13_e_siec(A),k4_relat_1(k12_e_siec(A))),k13_e_siec(A)) = k1_xboole_0 & k2_xboole_0(k2_xboole_0(k13_e_siec(A),k2_relat_1(k13_e_siec(A))),k4_relat_1(k12_e_siec(A))) = k2_xboole_0(k14_e_siec(A),k2_relat_1(k14_e_siec(A))) ) ) )).
fof(t22_ec_pf_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => k2_binom(k9_int_3(A),B,2) = k8_group_1(k9_int_3(A),B,B) ) ) )).
fof(t22_ec_pf_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) & A = k2_xcmplx_0(B,1) ) => k5_algstr_0(k9_int_3(C),k8_group_1(k9_int_3(C),D,F),k8_group_1(k9_int_3(C),E,F)) = F ) ) ) ) ) ) ) )).
fof(t22_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => m1_subset_1(B,u1_struct_0(k11_ens_1(A))) ) ) )).
fof(t22_entropy1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( C = k6_matrixr1(k9_matrixr1(A),k10_matrixr1(B)) <=> ( k3_finseq_1(C) = k3_finseq_1(A) & k1_matrix_0(C) = k3_finseq_1(B) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k4_finseq_1(C)) => k7_matrix_0(k1_numbers,C,D) = k10_rvsum_1(B,k1_funct_1(A,D)) ) ) ) ) ) ) ) )).
fof(t22_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_tarski(A),k5_enumset1(B,C,D,E,F,G,H)) )).
fof(t22_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ( v1_relat_2(E) & v3_relat_2(E) & v8_relat_2(E) & v1_partfun1(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( r2_hidden(C,k6_eqrel_1(A,A,E,B)) & r2_hidden(D,k6_eqrel_1(A,A,E,B)) ) => r2_hidden(k4_tarski(C,D),E) ) ) )).
fof(t22_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v1_msualg_6(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v1_msualg_6(D,A) & m1_msualg_2(D,A,C) ) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ( r8_pboole(u1_struct_0(A),E,u3_msualg_1(A,D)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B)) => ( r1_msualg_3(A,C,B,F) => ! [G] : ( m2_pboole(G,u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),G,k1_msafree(u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B),E,F)) => r1_msualg_3(A,D,B,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => u1_struct_0(k15_euclid(A)) = k1_euclid(A) ) )).
fof(t22_euclid10,axiom,( k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),3)) = k7_xcmplx_0(k3_square_1(3),2) )).
fof(t22_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k22_rvsum_1(B,k4_algstr_0(k15_euclid(A),C)) = k4_xcmplx_0(k22_rvsum_1(B,C)) ) ) ) )).
fof(t22_euclid_3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( k3_finseq_1(A) = 2 => k12_euclid(A) = k3_square_1(k2_xcmplx_0(k1_square_1(k1_funct_1(A,1)),k1_square_1(k1_funct_1(A,2)))) ) ) )).
fof(t22_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( v1_xreal_0(D) => k22_rvsum_1(B,k9_euclid(A,C,D)) = k3_xcmplx_0(D,k22_rvsum_1(B,C)) ) ) ) ) )).
fof(t22_euclid_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k5_euclid_5(k4_euclid_5(k5_numbers,k5_numbers,A),k4_euclid_5(k5_numbers,k5_numbers,B)) = k4_struct_0(k15_euclid(3)) ) ) )).
fof(t22_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( k4_euclid_3(A,B,C) = k4_euclid_3(D,E,F) & k4_euclid_3(C,A,B) = k4_euclid_3(E,F,D) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | r1_rltopsp1(k15_euclid(2),D,E,F) | ( k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,C)),k12_euclid(k5_algstr_0(k15_euclid(2),D,F))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,A)),k12_euclid(k5_algstr_0(k15_euclid(2),E,D))) & k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),B,C)),k12_euclid(k5_algstr_0(k15_euclid(2),F,E))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,B)),k12_euclid(k5_algstr_0(k15_euclid(2),E,D))) & k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),C,A)),k12_euclid(k5_algstr_0(k15_euclid(2),F,E))) = k3_xcmplx_0(k12_euclid(k5_algstr_0(k15_euclid(2),A,B)),k12_euclid(k5_algstr_0(k15_euclid(2),D,F))) ) ) ) ) ) ) ) ) ) )).
fof(t22_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k5_euclid_7(A,k5_finseq_2(k1_euclid(A),B,k5_euclid(A))) = k5_euclid(A) ) ) )).
fof(t22_euclid_8,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => k5_euclid_8(A,k1_euclid_8(k5_numbers,k5_numbers,k5_numbers)) = k1_euclid_8(k5_numbers,k5_numbers,k5_numbers) ) )).
fof(t22_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => r1_tarski(k8_metric_1(k14_euclid(A),C,B),k4_euclid_9(A,C,B)) ) ) ) )).
fof(t22_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(E)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(E)) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(E)) => k9_euclid(E,k7_euclid(E,k7_euclid(E,k9_euclid(E,F,B),k9_euclid(E,G,C)),k9_euclid(E,H,D)),A) = k7_euclid(E,k7_euclid(E,k9_euclid(E,F,k3_xcmplx_0(A,B)),k9_euclid(E,G,k3_xcmplx_0(A,C))),k9_euclid(E,H,k3_xcmplx_0(A,D))) ) ) ) ) ) ) ) ) )).
fof(t22_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( r1_analmetr(B,C,D) & A = k2_analmetr(B,C,D) ) => v7_euclmetr(A) ) ) ) ) ) )).
fof(t22_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_exchsort(A) ) => k9_xtuple_0(A) = k6_subset_1(k2_exchsort(A),k1_exchsort(A)) ) )).
fof(t22_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( v7_ordinal1(E) => ( r1_extpro_1(A,B,C,D) <=> r1_extpro_1(A,B,C,k5_extpro_1(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t22_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ~ ( ~ r1_xxreal_0(A,k2_xxreal_3(B)) & ~ r1_xxreal_0(B,A) & ~ ( ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(B,k3_extreal1(A)) ) ) ) ) )).
fof(t22_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( r2_tarski(C,k3_msafree2(B)) => r2_tarski(C,k3_msafree2(k2_circcomb(A,B))) ) ) ) )).
fof(t22_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & k2_msafree2(k19_facirc_1(A,B,C)) != k1_enumset1(A,B,C) ) )).
fof(t22_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) & k8_relset_1(k1_numbers,k1_numbers,B,k1_seq_4(k5_numbers)) = k1_xboole_0 ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,B),A)) ) ) )).
fof(t22_fcont_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v2_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v1_partfun1(A,k1_numbers) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,A,k2_subset_1(k1_numbers))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,A,k2_subset_1(k1_numbers))) ) | v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k2_partfun2(k1_numbers,k1_numbers,A),k2_relset_1(k1_numbers,A))) ) ) ) )).
fof(t22_fdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & v3_funct_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => ( r2_fdiff_1(B,A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(B,A),C) = k5_numbers ) ) ) ) ) ) )).
fof(t22_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k16_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k16_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k16_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k19_sin_cos(k1_funct_1(k27_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t22_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k1_fdiff_9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k1_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k1_fdiff_9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k16_sin_cos,k1_funct_1(k2_sin_cos9,B)),k3_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos,k1_funct_1(k2_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) )).
fof(t22_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_fdiff_1(B,A) & ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(C,A) & k1_funct_1(B,C) = k5_numbers ) ) ) => ( r2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,B),A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,B),A),k32_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k2_fdiff_1(B,A),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,B)))) ) ) ) ) )).
fof(t22_fdiff_3,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_fdiff_1(A,B) => ( r3_fdiff_3(A,B) & r4_fdiff_3(A,B) & k1_fdiff_1(A,B) = k2_fdiff_3(B,A) & k1_fdiff_1(A,B) = k1_fdiff_3(B,A) ) ) ) ) )).
fof(t22_fdiff_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k9_xtuple_0(k3_rfunct_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D)))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(C,E) = A ) ) & D = k1_taylor_1(2) & ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(E,B) & r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),E),k5_numbers) ) ) ) => ( r2_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D)),B) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,B) => k1_funct_1(k2_fdiff_1(k3_rfunct_1(k1_numbers,k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D)),B),E) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,A),E),k1_newton(k6_xcmplx_0(A,k1_newton(E,2)),2)) ) ) ) ) ) ) ) ) )).
fof(t22_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),k3_taylor_1)))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => ( k1_funct_1(B,C) = 1 & ~ r1_xxreal_0(k1_funct_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),C),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),k3_taylor_1)),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,B,k22_sin_cos),k3_taylor_1)),A),C) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,C),k6_xcmplx_0(1,k1_funct_1(k22_sin_cos,C))) ) ) ) ) ) ) )).
fof(t22_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2))))) & B = k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D) & D = k1_taylor_1(2) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => ( k1_funct_1(C,E) = 1 & ~ r1_xxreal_0(k1_funct_1(B,E),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2))),A) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2))),A),E) = k4_xcmplx_0(k3_xcmplx_0(E,k6_prepower(k6_xcmplx_0(1,k3_prepower(E,2)),k4_xcmplx_0(k7_xcmplx_0(1,2))))) ) ) ) ) ) ) ) ) )).
fof(t22_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k6_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos)))) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( k2_xcmplx_0(1,k1_funct_1(k16_sin_cos,B)) != k5_numbers & k6_xcmplx_0(1,k1_funct_1(k16_sin_cos,B)) != k5_numbers ) ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k6_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k6_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos)),A),B) = k7_xcmplx_0(1,k6_xcmplx_0(1,k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t22_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_partfun2(k1_numbers,A)))) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_partfun2(k1_numbers,A)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k1_partfun2(k1_numbers,A)),A),B) = k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k16_sin_cos,B),k1_square_1(k1_funct_1(k18_sin_cos,B))),k1_square_1(k1_funct_1(k18_sin_cos,B))) ) ) ) ) ) )).
fof(t22_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_tarski(k13_ff_siec(A),k2_zfmisc_1(k12_ff_siec(A),k11_ff_siec(A))) & r1_tarski(k14_ff_siec(A),k2_zfmisc_1(k12_ff_siec(A),k11_ff_siec(A))) ) ) )).
fof(t22_fib_num2,axiom,( k1_pre_ff(3) = 2 )).
fof(t22_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_nat_1(k2_nat_1(2,k1_fib_num3(A)),k1_fib_num3(k1_nat_1(A,1))) = k2_nat_1(5,k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(t22_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( ( r1_xxreal_0(2,A) & v1_abian(A) ) => k1_pre_ff(k2_xcmplx_0(A,1)) = k1_int_1(k2_xcmplx_0(k3_xcmplx_0(k1_fib_num,k1_pre_ff(A)),1)) ) ) )).
fof(t22_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => r1_filerec1(A,B,k6_finseq_1(A),B) ) ) )).
fof(t22_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,C) => r1_tarski(k3_filter_0(A,B),k3_filter_0(A,C)) ) ) ) ) )).
fof(t22_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ( v1_binop_1(C,A) & v1_binop_1(D,B) ) <=> v1_binop_1(k6_filter_1(A,B,C,D),k2_zfmisc_1(A,B)) ) ) ) ) ) )).
fof(t22_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( ~ v1_xboole_0(D) & v18_lattices(D,A) & v21_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,D) => ( r2_tarski(k4_lattices(A,B,C),D) & r2_tarski(k4_lattices(A,C,B),D) ) ) ) ) ) ) )).
fof(t22_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k8_fin_topo(A,B),B) ) ) )).
fof(t22_finance2,axiom,( k12_prob_1 = k9_prob_1(k1_numbers,k1_finance2) )).
fof(t22_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k3_finseq_1(k7_finseq_1(A,B)) = k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)) ) ) )).
fof(t22_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ~ ( k3_finseq_1(C) = k2_xcmplx_0(A,B) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ~ ( k3_finseq_1(D) = A & k3_finseq_1(E) = B & C = k7_finseq_1(D,E) ) ) ) ) ) ) ) )).
fof(t22_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( r2_hidden(C,k1_relset_1(k4_ordinal1,A)) => r2_hidden(C,k1_relset_1(k4_ordinal1,k7_finseq_1(A,B))) ) ) ) )).
fof(t22_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(A)) => ( m1_subset_1(k6_xcmplx_0(k4_finseq_4(A,B),1),k4_ordinal1) & m1_subset_1(k6_xcmplx_0(k3_finseq_1(A),k4_finseq_4(A,B)),k4_ordinal1) ) ) ) )).
fof(t22_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( m2_finseq_1(D,B) => ( r1_xxreal_0(A,k3_finseq_1(C)) => k17_finseq_1(B,A,k8_finseq_1(B,C,D)) = k17_finseq_1(B,A,C) ) ) ) ) )).
fof(t22_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ( A != B => k4_finseq_4(k11_finseq_1(A,B,C),B) = 2 ) )).
fof(t22_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k10_xtuple_0(k2_finseq_7(A,B,C,D)) = k10_xtuple_0(B) ) ) ) ) )).
fof(t22_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( k3_finseq_1(C) = k5_numbers => r4_finseq_8(A,B,C) ) ) ) ) )).
fof(t22_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [G] : ( ( v3_card_1(G,E) & m2_finseq_1(G,B) ) => k3_finseqop(A,B,C,F,D,G) = k3_relat_1(G,k5_funcop_1(F,D,k6_partfun1(B))) ) ) ) ) ) ) ) )).
fof(t22_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k11_fintopo2(A,C)) <=> ( r2_tarski(B,C) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_tarski(D,k6_fintopo2(A,B)) & r1_xboole_0(k7_subset_1(u1_struct_0(A),D,k6_domain_1(u1_struct_0(A),B)),C) ) ) ) ) ) ) )).
fof(t22_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => k5_fintopo3(A,k9_subset_1(u1_struct_0(A),B,C),D) = k9_subset_1(u1_struct_0(A),k5_fintopo3(A,B,D),k5_fintopo3(A,C,D)) ) ) ) ) )).
fof(t22_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k7_fin_topo(A,B) = k7_subset_1(u1_struct_0(A),k9_fin_topo(A,B),B) ) ) )).
fof(t22_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_catalan2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_catalan2(A))) => ( r1_tarski(k5_subset_1(k3_catalan2(A),k6_flang_1(A,B,C),k6_flang_1(A,B,D)),k6_flang_1(A,B,k5_subset_1(k3_catalan2(A),C,D))) & r1_tarski(k5_subset_1(k3_catalan2(A),k6_flang_1(A,C,B),k6_flang_1(A,D,B)),k6_flang_1(A,k5_subset_1(k3_catalan2(A),C,D),B)) ) ) ) ) )).
fof(t22_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k1_flang_2(A,B,C,C) = k7_flang_1(A,B,C) ) ) )).
fof(t22_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k1_flang_3(A,B,k2_xcmplx_0(D,C)) = k6_flang_1(A,k1_flang_3(A,B,D),k7_flang_1(A,B,C)) ) ) ) )).
fof(t22_fomodel0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k4_finseq_2(k2_xcmplx_0(B,C),A) = k7_relset_1(k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A),k11_monoid_0(A),k2_zfmisc_1(k4_finseq_2(B,A),k4_finseq_2(C,A))) ) ) ) )).
fof(t22_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ( v4_fomodel1(B,A) & m1_subset_1(B,k1_fomodel1(A)) ) => ! [C] : ( ( v4_fomodel2(C,A) & m2_subset_1(C,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ! [D] : ( ( v4_fomodel2(D,A) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(A)),k6_subset_1(k3_finseq_2(k15_fomodel1(A)),k1_tarski(k1_xboole_0))) ) => ( ~ r1_xxreal_0(k29_fomodel2(A,k42_fomodel1(A,k43_fomodel1(A,B),C)),k29_fomodel2(A,C)) & ~ r1_xxreal_0(k29_fomodel2(A,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D)),k29_fomodel2(A,C)) & ~ r1_xxreal_0(k29_fomodel2(A,k42_fomodel1(A,k42_fomodel1(A,k43_fomodel1(A,k1_fomodel2(A)),C),D)),k29_fomodel2(A,D)) ) ) ) ) ) )).
fof(t22_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),C,k8_funcop_1(u1_struct_0(A),k4_ordinal1,B)) => r1_frechet(A,C,B) ) ) ) ) )).
fof(t22_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v4_frechet(A) & ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k1_frechet2(A,k1_frechet2(A,B)) = k1_frechet2(A,B) ) ) => v3_frechet(A) ) ) )).
fof(t22_fscirc_1,axiom,( ! [A] : ! [B] : ! [C] : v1_relat_1(k3_msafree2(k8_fscirc_1(A,B,C))) )).
fof(t22_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,k4_tarski(k10_finseq_1(A,B),k2_twoscomp)) & F = k1_funct_1(D,k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) & G = k1_funct_1(D,k4_tarski(k10_finseq_1(A,C),k2_twoscomp)) ) => k11_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),k6_circuit2(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D),k6_fscirc_1(A,B,C)) = k1_binarith(k1_binarith(E,F),G) ) ) ) ) ) )).
fof(t22_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( v7_ordinal1(F) => ( r6_fsm_1(A,B,C,D,E,F) => r6_fsm_1(A,B,C,E,D,F) ) ) ) ) ) ) ) )).
fof(t22_fsm_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_2(C,k2_zfmisc_1(A,A),k1_ordinal1(A)) ) => ( ( v1_fsm_2(C,k2_zfmisc_1(A,A)) & u1_struct_0(C) = k1_ordinal1(A) & u1_fsm_2(k2_zfmisc_1(A,A),C) = A & u2_fsm_1(k2_zfmisc_1(A,A),C) = A & u4_fsm_1(k2_zfmisc_1(A,A),k1_ordinal1(A),C) = k6_partfun1(u1_struct_0(C)) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => k3_funct_2(k2_zfmisc_1(u1_struct_0(C),k2_zfmisc_1(A,A)),u1_struct_0(C),u1_fsm_1(k2_zfmisc_1(A,A),C),k1_domain_1(u1_struct_0(C),k2_zfmisc_1(A,A),u2_fsm_1(k2_zfmisc_1(A,A),C),k1_domain_1(A,A,D,E))) = k4_binop_1(A,B,D,E) ) ) ) => ( v5_fsm_2(C,k2_zfmisc_1(A,A)) & ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => r3_fsm_2(k2_zfmisc_1(A,A),k1_ordinal1(A),C,k1_domain_1(A,A,D,E),k4_binop_1(A,B,D,E)) ) ) ) ) ) ) ) )).
fof(t22_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( ( ~ v2_struct_0(D) & l1_rewrite3(D,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A)))) ) => ! [E] : ( m1_rewrite1(E,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),D)) => ~ ( k2_xtuple_0(k1_funct_1(E,1)) = k1_flang_1(A,k3_flang_1(A,B),C) & k2_xtuple_0(k1_funct_1(E,k3_finseq_1(E))) = k2_flang_1(A) & k2_xtuple_0(k1_funct_1(E,2)) != k1_flang_1(A,k3_flang_1(A,B),C) & k2_xtuple_0(k1_funct_1(E,2)) != C ) ) ) ) ) ) )).
fof(t22_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : v1_relat_1(k3_msafree2(k13_ftacell1(A,B,C,D,E))) )).
fof(t22_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( r2_hidden(D,k9_xtuple_0(k3_funcop_1(C,A,B))) => k1_funct_1(k3_funcop_1(C,A,B),D) = k1_binop_1(C,k1_funct_1(A,D),k1_funct_1(B,D)) ) ) ) ) )).
fof(t22_funcsdom,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ~ ( C = k2_tarski(A,B) & A != B & ! [D] : ( m2_funct_2(D,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ! [E] : ( m2_funct_2(E,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ~ ( ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( k1_binop_1(k5_funcsdom(C),k1_funct_1(k7_funcsdom(C),k4_tarski(F,D)),k1_funct_1(k7_funcsdom(C),k4_tarski(G,E))) = k8_funcsdom(C) => ( F = k5_numbers & G = k5_numbers ) ) ) ) & ! [F] : ( m2_funct_2(F,C,k1_numbers,k9_funct_2(C,k1_numbers)) => ? [G] : ( v1_xreal_0(G) & ? [H] : ( v1_xreal_0(H) & F = k1_binop_1(k5_funcsdom(C),k1_funct_1(k7_funcsdom(C),k4_tarski(G,D)),k1_funct_1(k7_funcsdom(C),k4_tarski(H,E))) ) ) ) ) ) ) ) ) )).
fof(t22_funct_1,axiom,( ! [A] : ! [B] : k3_relat_1(k4_relat_1(B),k4_relat_1(A)) = k4_relat_1(k3_xboole_0(A,B)) )).
fof(t22_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( k2_relset_1(C,k1_partfun1(A,B,B,C,D,E)) = C & v2_funct_1(E) ) => ( C = k1_xboole_0 | k2_relset_1(B,D) = B ) ) ) ) )).
fof(t22_funct_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => r1_tarski(k10_xtuple_0(k3_funct_3(A)),k1_zfmisc_1(k9_xtuple_0(A))) ) )).
fof(t22_funct_4,axiom,( ! [A] : ! [B] : k1_funct_4(k6_partfun1(A),k6_partfun1(B)) = k6_partfun1(k2_xboole_0(A,B)) )).
fof(t22_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ! [D] : ( ( r2_hidden(k4_tarski(C,D),k9_xtuple_0(A)) & B = k1_funct_1(k3_funct_5(A),D) ) => ( r2_hidden(C,k9_xtuple_0(B)) & k1_funct_1(B,C) = k1_binop_1(A,C,D) ) ) ) ) )).
fof(t22_funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_funcop_1(C) ) => ( ( r2_hidden(A,k9_xtuple_0(C)) & B = k1_funct_1(C,A) ) => ( r2_hidden(A,k9_xtuple_0(k1_funct_6(C))) & k1_funct_1(k1_funct_6(C),A) = k9_xtuple_0(B) & r2_hidden(A,k9_xtuple_0(k2_funct_6(C))) & k1_funct_1(k2_funct_6(C),A) = k10_xtuple_0(B) ) ) ) ) )).
fof(t22_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k3_finseq_1(A) = k1_nat_1(k3_finseq_1(B),1) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) <=> ( r2_tarski(C,k4_finseq_1(A)) & r2_tarski(k1_nat_1(C,1),k4_finseq_1(A)) ) ) ) ) ) ) )).
fof(t22_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_funct_8(A,k1_numbers,k1_numbers,B) & r2_funct_8(A,k1_numbers,k1_numbers,C) ) => r1_funct_8(A,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t22_funct_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_int_1(A) ) => v1_funct_9(k18_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)) ) )).
fof(t22_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( ( v10_functor0(C,A,B) & l2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),D,E) = k4_tarski(k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) ) ) ) ) ) )).
fof(t22_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( ( v15_functor0(G,B,C) & m2_functor0(G,B,C) ) => ! [H] : ( m1_functor2(H,A,B,D,E) => ! [I] : ( m2_functor2(I,B,C,F,G) => ( ( r1_functor2(A,B,D,E) & r2_functor2(B,C,F,G) ) => r8_pboole(u1_struct_0(A),k7_functor3(A,B,C,D,E,F,G,H,I),k3_functor2(A,C,k1_functor3(A,B,C,D,F),k1_functor3(A,B,C,D,G),k1_functor3(A,B,C,E,G),k6_functor3(A,B,C,F,G,D,I),k5_functor3(A,B,C,D,E,H,G))) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_fuznum_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_fuznum_1(B,A) => k3_fuznum_1(A,B) = 1 ) ) ) )).
fof(t22_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_fuzzy_1(B,C) => r2_funct_2(A,k1_numbers,k2_fuzzy_1(A,B,C),C) ) ) ) ) )).
fof(t22_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r2_funct_2(A,k1_numbers,k1_fuzzy_2(A,k6_fuzzy_1(A,B,D),C),k2_fuzzy_1(A,k1_fuzzy_2(A,B,k2_fuzzy_1(A,D,C)),k1_fuzzy_2(A,D,k2_fuzzy_1(A,B,C)))) ) ) ) ) )).
fof(t22_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,C),k1_numbers,k3_fuzzy_4(A,B,C,k4_fuzzy_2(A,B),D),k4_fuzzy_2(A,C)) ) ) ) ) )).
fof(t22_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_fvaluat1(D,A) => ( v3_fvaluat1(A) => ( C = k4_struct_0(A) | k3_funct_2(u1_struct_0(A),k6_numbers,D,k12_algstr_0(A,B,C)) = k4_supinf_2(k3_funct_2(u1_struct_0(A),k6_numbers,D,B),k3_funct_2(u1_struct_0(A),k6_numbers,D,C)) ) ) ) ) ) ) )).
fof(t22_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ( ( r2_tarski(A,k4_finseq_1(k5_fvsum_1(B,D))) & C = k1_funct_1(D,A) ) => k1_funct_1(k5_fvsum_1(B,D),A) = k4_algstr_0(B,C) ) ) ) ) ) )).
fof(t22_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ ( ~ v1_xboole_0(k16_gate_1(A,B,C,D)) & ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) & ~ ( ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) ) & v1_xboole_0(k16_gate_1(A,B,C,D)) ) ) )).
fof(t22_gaussint,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_ec_pf_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( ( C = E & D = F ) => ( D = k4_struct_0(A) | k20_quofield(A,C,D) = k20_quofield(B,E,F) ) ) ) ) ) ) ) ) )).
fof(t22_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ( r2_tarski(k5_struct_0(A),B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m2_subset_1(D,u1_struct_0(A),B) & r4_gcd_1(A,D,C) ) ) & ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => ~ ( C != D & r3_gcd_1(A,C,D) ) ) ) ) ) ) )).
fof(t22_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( ( r1_xxreal_0(k3_finseq_1(E),A) & r1_xxreal_0(k3_finseq_1(E),C) ) => k9_genealg1(D,E,F,A,B,C) = k7_genealg1(D,E,F,B) ) ) ) ) ) ) ) )).
fof(t22_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( r2_geomtrap(A,F,G,B,D,C,E) => r2_geomtrap(A,F,G,D,B,E,C) ) ) ) ) ) ) ) ) )).
fof(t22_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & ? [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C)))) & ? [E] : ( m1_subset_1(E,k5_margrel1) & ? [F] : ( m1_subset_1(F,k5_margrel1) & ? [G] : ( m1_subset_1(G,k5_margrel1) & E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) & ~ ( k1_twoscomp(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),k5_facirc_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D,2),k9_gfacirc1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(E,F),k9_margrel1(F,G)),k9_margrel1(G,E)) & k1_funct_1(k5_facirc_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D,2),k4_tarski(k10_finseq_1(A,B),k3_facirc_1)) = k9_margrel1(E,F) & k1_funct_1(k5_facirc_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D,2),k4_tarski(k10_finseq_1(B,C),k3_facirc_1)) = k9_margrel1(F,G) & k1_funct_1(k5_facirc_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D,2),k4_tarski(k10_finseq_1(C,A),k3_facirc_1)) = k9_margrel1(G,E) ) ) ) ) ) ) )).
fof(t22_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => r1_tarski(k3_msafree2(k5_gfacirc2(A,C,D)),k3_msafree2(k5_gfacirc2(B,C,D))) ) ) ) ) ) )).
fof(t22_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v4_glib_000(A) ) => ? [B] : ( m1_subset_1(B,k6_glib_000(A)) & k6_glib_000(A) = k6_domain_1(k6_glib_000(A),B) ) ) )).
fof(t22_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ( k3_glib_001(A,B) = k4_glib_001(A,k6_glib_001(A,B)) & k4_glib_001(A,B) = k3_glib_001(A,k6_glib_001(A,B)) ) ) ) )).
fof(t22_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( m1_subset_1(D,k6_glib_000(B)) => ( ( r5_glib_000(A,B) & C = D ) => k2_glib_002(A,C) = k2_glib_002(B,D) ) ) ) ) ) )).
fof(t22_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ( r1_glib_000(A,B,C,D) => k10_glib_003(A,k2_glib_001(A,B,C,D)) = k1_funct_1(k5_glib_003(A),D) ) ) ) ) )).
fof(t22_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),k21_glib_000(A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))))) ) ) ) )).
fof(t22_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( m2_finseq_1(C,B) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(B)) ) => ( ( r2_tarski(A,k4_finseq_1(C)) => r1_xxreal_0(1,k3_finseq_1(k17_finseq_1(B,A,C))) ) & ( r1_goboard1(B,C,D) => r1_goboard1(B,k17_finseq_1(B,A,C),D) ) ) ) ) ) )).
fof(t22_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k1_matrix_0(C)) ) => ( r1_xxreal_0(k3_finseq_1(C),A) | r1_tarski(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,A,B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B)),k3_goboard5(C,A,B)) ) ) ) ) ) )).
fof(t22_goboard6,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k1_tops_1(k15_euclid(2),k3_goboard5(A,k3_finseq_1(A),k1_matrix_0(A))) = a_1_7_goboard6(A) ) )).
fof(t22_goboard7,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k1_matrix_0(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k1_matrix_0(A)) & ~ r1_xboole_0(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,k1_nat_1(E,1)))) & ~ ( C = E & k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))) = k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,k1_nat_1(E,1))) ) & ~ ( C = k1_nat_1(E,1) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,k1_nat_1(E,1)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C)) ) & ~ ( k1_nat_1(C,1) = E & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,k1_nat_1(E,1)))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E)) ) ) ) ) ) ) ) )).
fof(t22_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,B) & r1_xxreal_0(k17_euclid(C),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),1))) ) ) => r1_xboole_0(B,k3_topreal1(2,A)) ) ) ) )).
fof(t22_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k2_goboard2(k1_goboard9(A)) = k2_goboard2(A) ) )).
fof(t22_gobrd11,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( v2_goboard1(A) => k2_goboard5(A,k1_matrix_0(A)) = a_1_12_gobrd11(A) ) ) )).
fof(t22_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(D)) & r1_goboard1(u1_struct_0(k15_euclid(2)),D,E) & r2_hidden(k4_tarski(A,B),k2_matrix_0(E)) & r2_hidden(k4_tarski(A,k1_nat_1(B,1)),k2_matrix_0(E)) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,B) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,k1_nat_1(B,1)) ) => k1_gobrd13(D,E,C) = k3_goboard5(E,A,B) ) ) ) ) ) ) )).
fof(t22_gobrd14,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k2_pre_topc(k15_euclid(2),k2_goboard9(A)) = k4_subset_1(u1_struct_0(k15_euclid(2)),k2_goboard9(A),k3_topreal1(2,A)) ) )).
fof(t22_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k2_goedelcp(A,k12_cqc_lang(A,C,B)) = C & k3_goedelcp(A,k12_cqc_lang(A,C,B)) = B ) ) ) ) )).
fof(t22_gr_cy_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ? [B] : ( m1_subset_1(B,u1_struct_0(k4_gr_cy_1(A))) & ! [C] : ( m1_subset_1(C,u1_struct_0(k4_gr_cy_1(A))) => ? [D] : ( v1_int_1(D) & C = k5_group_1(k4_gr_cy_1(A),B,D) ) ) ) ) )).
fof(t22_gr_cy_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( ( v1_gr_cy_1(B) & k7_group_1(B) = A ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r1_nat_d(C,A) & ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,B) ) => ~ ( k7_group_1(D) = C & ! [E] : ( ( v15_algstr_0(E) & m1_group_2(E,B) ) => ( k7_group_1(E) = C => r1_group_2(B,E,D) ) ) ) ) ) ) ) ) ) )).
fof(t22_gr_cy_3,axiom,( k1_gr_cy_3(11) = k2_nat_1(23,89) )).
fof(t22_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( ( r4_graph_1(B,A) & r4_graph_1(C,A) ) => r4_graph_1(k5_graph_1(B,C),A) ) ) ) ) )).
fof(t22_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_graph_2(A) & v2_graph_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_graph_2(B) & v2_graph_2(B) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k10_xtuple_0(A) = k10_xtuple_0(B) ) => ( A = B | ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_graph_2(C) & v2_graph_2(C) ) => ~ ( k3_finseq_1(C) = k3_finseq_1(A) & k10_xtuple_0(C) = k10_xtuple_0(A) & C != A & C != B ) ) ) ) ) ) )).
fof(t22_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_card_1(k5_graph_3(A,B)) = k8_graph_1(A,B) ) ) )).
fof(t22_graph_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ( ( v2_funct_1(A) & v7_graph_1(A,C) & m2_graph_1(A,C) ) => ( v2_funct_1(k5_relat_1(A,k2_finseq_1(B))) & v7_graph_1(k5_relat_1(A,k2_finseq_1(B)),C) & m2_graph_1(k5_relat_1(A,k2_finseq_1(B)),C) ) ) ) ) ) )).
fof(t22_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ! [D] : ( m2_finseq_1(D,u4_struct_0(C)) => ! [E] : ( m2_finseq_1(E,u4_struct_0(C)) => ( ( r1_tarski(k10_xtuple_0(E),k10_xtuple_0(D)) & r1_tarski(k7_subset_1(u1_struct_0(C),k2_graph_5(C,D),A),B) ) => r1_tarski(k7_subset_1(u1_struct_0(C),k2_graph_5(C,E),A),B) ) ) ) ) )).
fof(t22_graphsp,axiom,( ! [A] : ( m2_funct_2(A,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ! [B] : ( m2_funct_2(B,k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers),k9_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers))) => ! [C] : ( m2_finseq_2(C,k1_numbers,k3_finseq_2(k1_numbers)) => ! [D] : ( v7_ordinal1(D) => k4_graphsp(k3_finseq_2(k1_numbers),k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),B,A)),k1_nat_1(D,1)),C) = k4_graphsp(k3_finseq_2(k1_numbers),A,k4_graphsp(k3_finseq_2(k1_numbers),B,k4_graphsp(k3_finseq_2(k1_numbers),k8_nat_1(k1_funct_2(k3_finseq_2(k1_numbers),k3_finseq_2(k1_numbers)),k5_graphsp(k3_finseq_2(k1_numbers),k3_graphsp(k3_finseq_2(k1_numbers),B,A)),D),C))) ) ) ) ) )).
fof(t22_grcat_1,axiom,( ! [A] : ( ( v1_grcat_1(A) & v2_grcat_1(A) & l1_grcat_1(A) ) => ! [B] : ( ( v1_grcat_1(B) & v2_grcat_1(B) & l1_grcat_1(B) ) => ! [C] : ( ( v1_grcat_1(C) & v2_grcat_1(C) & l1_grcat_1(C) ) => ( ( k7_grcat_1(C) = k8_grcat_1(B) & k7_grcat_1(B) = k8_grcat_1(A) ) => k13_grcat_1(C,k13_grcat_1(B,A)) = k13_grcat_1(k13_grcat_1(C,B),A) ) ) ) ) )).
fof(t22_grfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_hidden(B,k9_xtuple_0(C)) & r2_hidden(B,A) ) <=> r2_hidden(k4_tarski(B,k1_funct_1(C,B)),k5_relat_1(C,A)) ) ) )).
fof(t22_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( ( v15_algstr_0(D) & v1_group_3(D,A) & m1_group_2(D,A) ) => ! [E] : ( m1_group_6(E,A,B) => ! [F] : ( ( v1_group_3(F,B) & m1_group_6(F,A,B) ) => ( ( m1_group_6(D,A,C) & m1_group_6(k5_group_6(C,k1_group_6(A,C,D)),k5_group_6(A,D),k10_group_5(k5_group_6(A,D))) & E = k10_group_2(A,C,B) & F = k3_group_6(A,D,B) ) => m1_group_6(k5_group_6(E,k1_group_6(B,E,F)),k5_group_6(B,F),k10_group_5(k5_group_6(B,F))) ) ) ) ) ) ) ) )).
fof(t22_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k12_polynom1(A,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k12_polynom1(A,C))) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( r1_groeb_1(A,B,C,F) => ( r11_polyred(k12_polynom1(A,C),k7_ideal_1(k12_polynom1(A,C),F),D,E) <=> k2_rewrite1(k3_polyred(A,B,C,F),D) = k2_rewrite1(k3_polyred(A,B,C,F),E) ) ) ) ) ) ) ) ) )).
fof(t22_groeb_2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(D,A,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(E,A,C) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r3_pre_poly(A,k3_termord(A,B,C,E),k3_termord(A,B,C,D)) => r8_polyred(A,B,C,k5_polynom7(A,C,D,k4_termord(A,B,C,E)),E,k3_groeb_2(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t22_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( k3_groeb_3(A,B,C,D,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) = k3_polynom1(k15_pre_poly(A),C,D) & k4_groeb_3(A,B,C,D,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) = k1_xboole_0 ) ) ) ) ) )).
fof(t22_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l3_algstr_0(A) ) => k3_binop_1(u1_struct_0(A),u2_algstr_0(A)) = k1_group_1(A) ) )).
fof(t22_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_group_2(D,A) => ( r1_tarski(B,C) => r1_tarski(k2_group_11(A,B,D),k2_group_11(A,C,D)) ) ) ) ) ) )).
fof(t22_group_17,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_group_7(D) & v2_group_7(D,B) & v3_group_7(D,B) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & l3_algstr_0(E) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_group_1(F) & v3_group_1(F) & l3_algstr_0(F) ) => ! [G] : ( m1_subset_1(G,B) => ! [H] : ( m1_subset_1(H,u1_struct_0(F)) => ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) ) => ( ( r2_tarski(I,u1_struct_0(k2_group_7(A,C))) & B = k2_xboole_0(A,k6_domain_1(B,G)) & D = k1_funct_4(C,k17_funcop_1(G,F)) ) => ( r2_tarski(G,A) | r2_tarski(k1_funct_4(I,k17_funcop_1(G,H)),u1_struct_0(k2_group_7(B,D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_19(A,B,D))) => ( v1_finset_1(k3_group_19(A,B,C)) => v1_finset_1(k3_group_19(A,B,k1_funct_7(C,D,E))) ) ) ) ) ) ) )).
fof(t22_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r2_tarski(k6_algstr_0(A,C,D),B) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k2_group_1(A,C),B) ) ) ) => k2_group_2(A,B,B) = B ) ) ) )).
fof(t22_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_group_3(A,B,C) = B <=> k6_algstr_0(A,B,C) = k6_algstr_0(A,C,B) ) ) ) ) )).
fof(t22_group_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k4_group_4(B,k12_finseq_1(k4_numbers,k2_group_4(A)),k12_finseq_1(u1_struct_0(B),C)) = k12_finseq_1(u1_struct_0(B),k5_group_1(B,C,A)) ) ) ) )).
fof(t22_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_1(A,k2_group_5(A,B,C)) = k2_group_5(A,C,B) ) ) ) )).
fof(t22_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( m1_subset_1(k14_group_2(A,C,B),u1_struct_0(k5_group_6(A,C))) & m1_subset_1(k13_group_2(A,C,B),u1_struct_0(k5_group_6(A,C))) & m1_subset_1(k8_group_2(A,C),u1_struct_0(k5_group_6(A,C))) ) ) ) ) )).
fof(t22_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l3_algstr_0(C) ) => ( v1_relat_1(k11_finseq_1(A,B,C)) & v4_relat_1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_partfun1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_group_7(k11_finseq_1(A,B,C)) ) ) ) ) )).
fof(t22_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_struct_0(B,C) => ! [D] : ( v1_int_1(D) => r1_struct_0(B,k5_group_1(A,C,D)) ) ) ) ) ) )).
fof(t22_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => k3_tarski(k7_group_9(A,B,C)) = u1_struct_0(B) ) ) )).
fof(t22_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v15_algstr_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ( ( r2_group_6(B,C) & v2_group_10(B,A) ) => v2_group_10(C,A) ) ) ) ) )).
fof(t22_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,E) & r1_gtarski1(A,C,D,E) ) => r4_gtarski1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t22_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_hahnban(C,A) & v4_hahnban(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_numbers) & v2_hahnban(D,B) & v3_hahnban(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( E = F => r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,D,E),k3_funct_2(u1_struct_0(A),k1_numbers,C,F)) ) ) ) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & v2_hahnban(E,A) & v3_hahnban(E,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ~ ( k2_partfun1(u1_struct_0(A),k1_numbers,E,u1_struct_0(B)) = D & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,E,F),k3_funct_2(u1_struct_0(A),k1_numbers,C,F)) ) ) ) ) ) ) ) ) )).
fof(t22_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_vectsp_4(B,k1_complfld,A) => m1_rlsub_1(k10_hahnban1(B),k10_hahnban1(A)) ) ) )).
fof(t22_hallmar1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m2_hallmar1(C,A,B) => ! [D] : ( m2_hallmar1(D,A,C) => m2_hallmar1(D,A,B) ) ) ) ) )).
fof(t22_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( v2_compts_1(B,k3_pcomps_1(A)) & v2_compts_1(C,k3_pcomps_1(A)) & r2_tarski(D,C) ) => r1_xxreal_0(k1_funct_1(k6_weierstr(A,B),D),k10_weierstr(A,B,C)) ) ) ) ) ) )).
fof(t22_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ~ ( k3_glib_001(A,B) = k3_glib_001(A,C) & v1_abian(k3_finseq_1(k1_helly(B,C))) ) ) ) ) )).
fof(t22_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),B,C) = k4_struct_0(k1_complfld) <=> k3_funct_2(u1_struct_0(A),u1_struct_0(k1_complfld),k1_hermitan(A,B),C) = k4_struct_0(k1_complfld) ) ) ) ) )).
fof(t22_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => r3_lattices(k11_normform(A),k3_funct_2(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),k11_heyting1(A,B),C),B) ) ) )).
fof(t22_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m2_subset_1(D,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [E] : ( m2_subset_1(E,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( ( D = k1_tarski(F) & E = C & k4_substlat(A,B,E,D) = k1_xboole_0 ) => r3_lattices(k5_substlat(A,B),k3_funct_2(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B)),k8_heyting2(A,B),F),k3_funct_2(u1_struct_0(k5_substlat(A,B)),u1_struct_0(k5_substlat(A,B)),k4_heyting2(A,B),C)) ) ) ) ) ) ) )).
fof(t22_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ r2_tarski(k3_heyting3(A,B),k4_heyting3(k1_nat_1(A,1),B)) ) ) )).
fof(t22_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_taylor_1(D,B,C) => r1_taylor_1(k26_valued_1(k1_numbers,k1_numbers,D,A),B,C) ) ) ) ) ) )).
fof(t22_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_ideal_1(C,A) & v2_ideal_1(C,A) & v3_ideal_1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_mod_4(D,A,B) => ( ~ v1_xboole_0(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C)) & v1_ideal_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),B) & v2_ideal_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),B) & v3_ideal_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),B) & m1_subset_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,C),k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) ) )).
fof(t22_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( r2_tarski(k3_hilbert1(A,B),k6_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(B,C),k3_hilbert1(A,C)),k6_hilbert1) ) ) ) ) )).
fof(t22_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => k4_hilbert1(A,B) != k3_hilbert1(C,D) ) ) ) ) )).
fof(t22_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( C = k1_xboole_0 & B != k1_xboole_0 & A != k1_xboole_0 ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,C)))) ) => k9_xtuple_0(k2_pralg_2(D)) = k1_funct_2(A,B) ) ) )).
fof(t22_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( m2_huffman1(C,A,B) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(C)) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(C)) => ! [F] : ( m1_trees_1(F,k9_xtuple_0(C)) => ( ( r2_tarski(D,k6_subset_1(k9_xtuple_0(C),k3_trees_1(k9_xtuple_0(C)))) & E = k8_finseq_1(k4_ordinal1,D,k14_trees_3(k5_numbers)) & F = k8_finseq_1(k4_ordinal1,D,k14_trees_3(1)) ) => k7_huffman1(C,D) = k2_xcmplx_0(k7_huffman1(C,E),k7_huffman1(C,F)) ) ) ) ) ) ) ) )).
fof(t22_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_xxreal_0(k2_hurwitz(A,k8_polynom3(A,B,C)),k4_xxreal_0(k2_hurwitz(A,B),k2_hurwitz(A,C))) ) ) ) )).
fof(t22_hurwitz2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_xxreal_0(k2_hurwitz(A,k1_hurwitz2(A,B)),k2_hurwitz(A,B)) & r1_xxreal_0(k2_hurwitz(A,k2_hurwitz2(A,B)),k2_hurwitz(A,B)) ) ) ) )).
fof(t22_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_idea_1(B,A) => k9_idea_1(B,1,A) = A ) ) ) )).
fof(t22_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) <=> ! [B] : ( ( ~ v1_xboole_0(B) & v1_ideal_1(B,A) & v2_ideal_1(B,A) & v3_ideal_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( B = k6_domain_1(u1_struct_0(A),k4_struct_0(A)) | B = u1_struct_0(A) ) ) ) ) )).
fof(t22_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u4_incsp_1(A)) => ( ( r3_incsp_1(A,C,E) & r3_incsp_1(A,D,E) ) => ( r3_incsp_1(A,B,E) | C = D | ! [F] : ( m1_subset_1(F,u4_incsp_1(A)) => ~ ( r3_incsp_1(A,B,F) & r3_incsp_1(A,C,F) & r3_incsp_1(A,D,F) ) ) ) ) ) ) ) ) ) )).
fof(t22_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v11_struct_0(D) & v2_cat_1(D) & v3_cat_1(D) & v4_cat_1(D) & v5_cat_1(D) & v6_cat_1(D) & l1_cat_1(D) ) => ! [E] : ( m5_index_1(E,u1_struct_0(D),u4_struct_0(D),u1_graph_1(D),u2_graph_1(D),u1_cat_1(D),k7_isocat_1(D)) => ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m2_cat_1(G,A,C) => ( ( m3_cat_2(k4_cat_5(A,B,F),D) & m3_cat_2(k4_cat_5(A,C,G),D) & r1_funct_2(u4_struct_0(A),u4_struct_0(B),u4_struct_0(A),u4_struct_0(C),F,G) ) => k14_index_1(A,B,D,F,E) = k14_index_1(A,C,D,G,E) ) ) ) ) ) ) ) ) )).
fof(t22_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,B) & l3_msualg_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r3_pua2mss1(A,B,D,E) => v4_msualg_1(k1_instalg1(A,B,C,D,E),A) ) ) ) ) ) ) )).
fof(t22_int_1,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r2_int_1(A,B,C) <=> r2_int_1(k6_xcmplx_0(A,C),B,C) ) ) ) ) )).
fof(t22_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(C,A) & r1_int_1(C,B) ) => r1_int_1(C,k3_int_2(A,B)) ) ) ) ) )).
fof(t22_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ( k5_int_1(k6_xcmplx_0(A,B),C) = k5_numbers <=> k4_nat_d(A,C) = k4_nat_d(B,C) ) ) ) ) ) )).
fof(t22_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v1_int_1(C) => ( ( r1_int_5(A,B) & r1_int_5(C,B) ) => r1_int_5(k3_xcmplx_0(A,C),B) ) ) ) ) )).
fof(t22_int_6,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ~ ( r1_int_2(A,B) & ! [C] : ( v1_int_1(C) => ~ r2_int_1(k3_xcmplx_0(C,A),1,B) ) ) ) ) )).
fof(t22_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k3_int_7(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ( B = C => k2_group_1(k3_int_7(A),B) = k9_algstr_0(k9_int_3(A),C) ) ) ) ) )).
fof(t22_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => r1_int_8(k2_int_8(A),A) ) )).
fof(t22_integr11,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => k2_integra5(B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A)),k16_sin_cos)) = k6_xcmplx_0(k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(k2_xcmplx_0(A,1))),k4_xcmplx_0(k7_xcmplx_0(1,k2_xcmplx_0(A,1)))),k2_seq_4(B)),k1_funct_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(k2_xcmplx_0(A,1))),k4_xcmplx_0(k7_xcmplx_0(1,k2_xcmplx_0(A,1)))),k3_seq_4(B))) ) ) )).
fof(t22_integr12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,D) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,D) => k1_funct_1(C,E) = 1 ) ) & r1_tarski(D,k2_rcomp_1(k4_xcmplx_0(1),1)) & D = k1_relset_1(k1_numbers,B) & r2_relset_1(k1_numbers,k1_numbers,B,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k3_sin_cos6,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,k1_taylor_1(2)),k4_taylor_1(k7_xcmplx_0(1,2)))))) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D),k3_sin_cos6),k2_seq_4(A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,D),k3_sin_cos6),k3_seq_4(A))) ) ) ) ) ) )).
fof(t22_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k32_valued_1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos),k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t22_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k22_sin_cos),k3_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos,k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos)))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k22_sin_cos)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k22_sin_cos)),k3_seq_4(A))) ) ) ) ) )).
fof(t22_integr15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ( r2_tarski(C,k1_relset_1(B,k8_integr15(A,B,D,E))) => k7_partfun1(k1_euclid(A),k8_integr15(A,B,D,E),C) = k8_euclid(A,k7_partfun1(k1_euclid(A),D,C),k7_partfun1(k1_euclid(A),E,C)) ) ) ) ) )).
fof(t22_integr16,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( B = k1_rcomp_1(C,D) => k7_integr16(B,A) = k8_integr16(C,D,A) ) ) ) ) ) )).
fof(t22_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_integr15(E,k3_integra5(A,B),F) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(E,k1_numbers,F)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(E),F,k3_integra5(A,B)),E) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_integra5(k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)),k1_nfcont_4(E,k1_numbers,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k1_nfcont_4(E,k1_numbers,F),k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)))) & r1_xxreal_0(k12_euclid(k12_integr15(C,D,E,F)),k4_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D),k1_nfcont_4(E,k1_numbers,F))) ) ) ) ) ) ) ) ) )).
fof(t22_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_integra5(k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)),k4_normsp_0(k1_numbers,E,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k4_normsp_0(k1_numbers,E,F),k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D)))) & r1_xxreal_0(k2_normsp_0(E,k6_integr18(E,F,C,D)),k4_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D),k4_normsp_0(k1_numbers,E,F))) ) ) ) ) ) ) ) ) )).
fof(t22_integra1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ! [C] : ( m2_finseq_1(C,k1_numbers) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k3_finseq_1(A) = k3_finseq_1(C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r2_tarski(D,k4_finseq_1(A)) => k1_funct_1(C,D) = k5_real_1(k7_partfun1(k1_numbers,A,D),k7_partfun1(k1_numbers,B,D)) ) ) ) => k18_rvsum_1(C) = k6_xcmplx_0(k18_rvsum_1(A),k18_rvsum_1(B)) ) ) ) ) )).
fof(t22_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( m1_integra1(D,B) => ( ( v1_comseq_2(k2_partfun1(B,k1_numbers,C,B)) & r1_xxreal_0(A,k5_numbers) ) => r1_xxreal_0(k1_funct_1(k9_integra1(B,k26_valued_1(B,k1_numbers,C,A)),D),k3_xcmplx_0(k3_xcmplx_0(A,k3_seq_4(k1_rvsum_1(C))),k3_integra1(B))) ) ) ) ) ) )).
fof(t22_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) & v3_integra1(B,A) ) => v3_integra1(k19_rfunct_3(A,B),A) ) ) ) )).
fof(t22_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),E) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_tarski(k3_integra5(C,D),k9_xtuple_0(k56_valued_1(k1_numbers,k1_numbers,E))) & r1_integra5(k3_integra5(C,D),k56_valued_1(k1_numbers,k1_numbers,E)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k56_valued_1(k1_numbers,k1_numbers,E),k3_integra5(C,D))) & r1_xxreal_0(k9_complex1(k4_integra5(C,D,E)),k4_integra5(C,D,k56_valued_1(k1_numbers,k1_numbers,E))) & r1_xxreal_0(k9_complex1(k4_integra5(D,C,E)),k4_integra5(C,D,k56_valued_1(k1_numbers,k1_numbers,E))) ) ) ) ) ) ) ) )).
fof(t22_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(B,A) & r1_tarski(k1_rcomp_1(B,A),C) & r1_tarski(C,k1_relset_1(k1_numbers,D)) & r1_tarski(C,k1_relset_1(k1_numbers,E)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,D,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,E,C)) & r1_integra7(C,F,D) & r1_integra7(C,G,E) ) => k6_xcmplx_0(k3_xcmplx_0(k1_funct_1(F,A),k1_funct_1(G,A)),k3_xcmplx_0(k1_funct_1(F,B),k1_funct_1(G,B))) = k2_xcmplx_0(k4_integra5(B,A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,D,G)),k4_integra5(B,A,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,F,E))) ) ) ) ) ) ) ) )).
fof(t22_integra8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_fdiff_1(A,B) => ( r1_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,A),B) & k1_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,A),B) = k4_xcmplx_0(k1_fdiff_1(A,B)) ) ) ) ) )).
fof(t22_integra9,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => r2_relset_1(D,k1_numbers,k20_valued_1(D,k1_numbers,k1_numbers,k1_integra5(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),D),k1_integra5(C,D)),k1_integra5(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,C),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)),D)) ) ) ) ) )).
fof(t22_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => r1_interva1(A,k3_interva1(A,B,C),k3_interva1(A,C,B)) ) ) ) )).
fof(t22_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B,C),k3_intpro_1(k3_intpro_1(A,B),k3_intpro_1(A,C))),k8_intpro_1) ) ) ) )).
fof(t22_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,B,C) => ! [G] : ( m2_cat_1(G,B,C) => ( ( r2_nattra_1(A,B,D,E) & r2_nattra_1(B,C,F,G) ) => r2_nattra_1(A,C,k9_cat_1(A,B,C,D,F),k9_cat_1(A,B,C,E,G)) ) ) ) ) ) ) ) ) )).
fof(t22_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m2_cat_1(E,k6_cat_2(A,B),C) => ( r2_funct_2(u4_struct_0(A),u4_struct_0(k9_nattra_1(B,C)),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) => r2_funct_2(u4_struct_0(k6_cat_2(A,B)),u4_struct_0(C),D,E) ) ) ) ) ) ) )).
fof(t22_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_isomichi(B,A) <=> ( v6_tops_1(k1_tops_1(A,B),A) & v1_xboole_0(k1_isomichi(A,B)) ) ) ) ) )).
fof(t22_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_jgraph_1(u1_struct_0(k15_euclid(2)),A,B) => r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),k2_relset_1(u1_struct_0(k15_euclid(2)),A)) ) ) ) )).
fof(t22_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(B,A,k3_topmetr) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D) = E => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,D) = k3_xcmplx_0(E,E) ) ) ) & v5_pre_topc(C,A,k3_topmetr) ) ) ) ) ) )).
fof(t22_jgraph_3,axiom,( v2_funct_1(k1_jgraph_3) )).
fof(t22_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k3_topmetr)))) ) => ( ( ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => k1_funct_1(C,D) = k3_xcmplx_0(k12_euclid(D),k4_xcmplx_0(k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(k18_euclid(D),k12_euclid(D)),A),k2_xcmplx_0(1,A))))))) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r2_tarski(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B))) => ( r1_xxreal_0(k17_euclid(D),k5_numbers) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(D),k12_euclid(D)),A) & D != k4_struct_0(k15_euclid(2)) ) ) ) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | v5_pre_topc(C,k1_pre_topc(k15_euclid(2),B),k3_topmetr) ) ) ) ) ) )).
fof(t22_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(k17_euclid(B),k5_numbers) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) & r1_xxreal_0(k17_euclid(C),k5_numbers) ) ) ) ) )).
fof(t22_jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( v1_topreal2(A) => v2_compts_1(A,k15_euclid(2)) ) ) )).
fof(t22_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k17_euclid(C) = F & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(B),H) & r1_xxreal_0(G,k18_euclid(C)) & r1_xxreal_0(k18_euclid(C),H) & r1_xxreal_0(k17_euclid(D),F) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k17_euclid(D),E) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_jordan,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(C))) => ( ~ r1_xxreal_0(B,A) => r1_tarski(k3_topreal9(C,D,A),k1_topreal9(C,D,B)) ) ) ) ) ) )).
fof(t22_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_pre_topc(a_1_2_jordan1(A),k15_euclid(2)) & m1_subset_1(a_1_2_jordan1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(t22_jordan12,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => ( v1_convex1(k2_gobrd13(A,k2_goboard2(A),B),k15_euclid(2)) & v1_convex1(k1_gobrd13(A,k2_goboard2(A),B),k15_euclid(2)) ) ) ) ) )).
fof(t22_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_jordan1h(A,E) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k1_jordan13(A,E))) & r2_hidden(k4_tarski(B,C),k2_matrix_0(k1_jordan8(A,E))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan13(A,E),D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),B,C) & r1_xxreal_0(B,1) ) ) ) ) ) ) )).
fof(t22_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_topreal1(2,k1_jordan1e(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_topreal1(2,k2_jordan1e(B,A))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k8_jordan6(B)) ) ) ) ) ) ) )).
fof(t22_jordan16,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r1_tarski(D,A) & r1_topreal1(k15_euclid(2),B,C,D) & r2_tarski(k18_pscomp_1(A),D) & r2_tarski(k22_pscomp_1(A),D) & ~ r1_tarski(k8_jordan6(A),D) & ~ r1_tarski(k9_jordan6(A),D) ) ) ) ) ) )).
fof(t22_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan17(A,B,C,D,E) & r1_jordan17(A,D,C,B,E) ) => ( B = C | C = D | D = E | B = D ) ) ) ) ) ) ) )).
fof(t22_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(A,k1_jordan2c(2,B)) => k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k1_jordan18(A,B),k2_jordan18(A,B)),B) = k2_tarski(k1_jordan18(A,B),k2_jordan18(A,B)) ) ) ) )).
fof(t22_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(D,1) & r1_xxreal_0(D,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,E) & r1_xxreal_0(E,F) & r1_xxreal_0(F,k1_matrix_0(k1_jordan8(B,A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k8_jordan6(B)) ) ) ) ) ) ) ) )).
fof(t22_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(B)) ) => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,A,1)),k9_pscomp_1(k3_topreal1(2,C))) ) ) ) ) )).
fof(t22_jordan1b,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(1,C) & ~ r1_xxreal_0(k1_matrix_0(A),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_matrix_0(A)) & r2_tarski(F,k3_goboard5(A,B,C)) & k17_euclid(F) = k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E)) & B != D & B != k7_nat_d(D,1) ) ) ) ) ) ) ) )).
fof(t22_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r2_tarski(A,k1_jordan2c(2,B)) & k17_euclid(A) = k6_pscomp_1(k1_jordan2c(2,B)) ) ) ) )).
fof(t22_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & k21_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,k1_matrix_0(k1_jordan8(B,A))) ) ) ) )).
fof(t22_jordan1e,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(k1_jordan9(B,A))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),C) = k18_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) ) => k17_euclid(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan9(B,A),k1_nat_1(C,1))) = k6_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) ) ) ) ) )).
fof(t22_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ r1_xxreal_0(k4_finseq_4(k1_jordan1e(B,A),k21_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))),k4_finseq_4(k1_jordan1e(B,A),k20_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))))) ) ) )).
fof(t22_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => r1_tarski(k2_topreal1(2,B,C),k1_gobrd13(B,A,C)) ) ) ) ) ) )).
fof(t22_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k20_pscomp_1(k3_topreal1(2,A)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & r2_hidden(k4_tarski(k1_nat_1(D,1),E),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(D,1),E) ) ) ) ) ) ) ) )).
fof(t22_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_tarski(A,B) & r2_tarski(k19_pscomp_1(B),A) ) => k19_pscomp_1(A) = k19_pscomp_1(B) ) ) ) )).
fof(t22_jordan1k,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( A != B & r1_xxreal_0(k1_topreal6(2,A,B),k5_numbers) ) ) ) )).
fof(t22_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r1_jordan5c(A,B,C,D,E) & r1_jordan5c(A,B,C,E,F) ) => k4_subset_1(u1_struct_0(k15_euclid(2)),k5_jordan6(A,B,C,D,E),k5_jordan6(A,B,C,E,F)) = k5_jordan6(A,B,C,D,F) ) ) ) ) ) ) ) )).
fof(t22_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ~ v1_xboole_0(k9_subset_1(u1_struct_0(k15_euclid(2)),k9_jordan6(A),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2)))) & ~ v1_xboole_0(k7_relset_1(u1_struct_0(k15_euclid(2)),k1_numbers,k5_pscomp_1,k9_subset_1(u1_struct_0(k15_euclid(2)),k9_jordan6(A),k6_jordan6(k7_xcmplx_0(k2_xcmplx_0(k6_pscomp_1(A),k8_pscomp_1(A)),2))))) ) ) )).
fof(t22_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,k5_numbers) => k2_jordan21(k3_topreal1(2,k1_jordan9(A,B))) = k2_jordan21(k9_jordan6(k3_topreal1(2,k1_jordan9(A,B)))) ) ) ) )).
fof(t22_jordan23,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & v2_jordan23(A) ) => r1_tarski(k3_topreal1(2,k4_jordan3(A,B,C)),k3_topreal1(2,A)) ) ) ) ) )).
fof(t22_jordan2b,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k1_jordan2b(k2_xcmplx_0(A,B)) = k3_rlvect_1(k15_euclid(1),k1_jordan2b(A),k1_jordan2b(B)) ) ) )).
fof(t22_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r1_jordan2c(A,B,C) => r1_tarski(C,k1_jordan2c(A,B)) ) ) ) ) )).
fof(t22_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( v4_topreal1(A) & r2_tarski(B,k3_topreal1(2,A)) ) => k2_jordan3(k4_finseq_5(u1_struct_0(k15_euclid(2)),A),B) = k4_finseq_5(u1_struct_0(k15_euclid(2)),k3_jordan3(A,B)) ) ) ) )).
fof(t22_jordan4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k7_nat_d(k3_finseq_1(B),1)) ) => k1_jordan4(A,B) = A ) ) ) )).
fof(t22_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xboole_0(A,B) & v4_pre_topc(k9_subset_1(u1_struct_0(k15_euclid(2)),A,B),k15_euclid(2)) & r1_topreal1(k15_euclid(2),C,D,A) & ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(E,k9_subset_1(u1_struct_0(k15_euclid(2)),A,B)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) & ? [G] : ( v1_xreal_0(G) & v3_tops_2(F,k5_topmetr,k1_pre_topc(k15_euclid(2),A)) & k1_funct_1(F,k5_numbers) = C & k1_funct_1(F,1) = D & k1_funct_1(F,G) = E & r1_xxreal_0(k5_numbers,G) & r1_xxreal_0(G,1) & ! [H] : ( v1_xreal_0(H) => ~ ( r1_xxreal_0(H,1) & ~ r1_xxreal_0(H,G) & r2_tarski(k1_funct_1(F,H),B) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & B = k1_funct_1(A,k3_finseq_1(A)) & v4_topreal1(A) ) => ( C = k1_funct_1(A,k3_finseq_1(A)) | r2_tarski(B,k3_topreal1(2,k2_jordan3(A,C))) ) ) ) ) ) )).
fof(t22_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & v4_topreal1(A) & r2_tarski(k2_jordan5c(k3_topreal1(2,A),k2_topreal1(2,A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))),k2_topreal1(2,A,B)) ) => k2_jordan5c(k3_topreal1(2,A),k2_topreal1(2,A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A))) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1)) ) ) ) )).
fof(t22_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_1_jordan5d(A) => k2_seq_4(B) = k2_pscomp_1(k1_pre_topc(k15_euclid(2),k16_pscomp_1(k3_topreal1(2,A))),k3_pscomp_1(k15_euclid(2),k5_pscomp_1,k16_pscomp_1(k3_topreal1(2,A)))) ) ) ) )).
fof(t22_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => k3_jordan6(A,B,C,C) = A ) ) ) ) )).
fof(t22_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(2,k3_finseq_1(B)) & r1_xxreal_0(2,k1_matrix_0(B)) & r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(B)) & r1_xxreal_0(1,E) & r1_xxreal_0(k1_nat_1(E,1),k1_matrix_0(B)) & r1_tarski(k2_topreal1(2,C,A),k3_goboard5(B,D,E)) ) ) ) ) ) ) ) )).
fof(t22_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_jordan_a(C,A) => ( r2_tarski(B,k4_finseq_1(C)) => r1_tarski(k2_jordan_a(A,B,C),A) ) ) ) ) )).
fof(t22_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_lattices(A,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)) => ! [D] : ( v3_ordinal1(D) => r3_lattices(A,C,k5_knaster(A,B,C,D)) ) ) ) ) ) )).
fof(t22_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_funct_1(B) => m1_subset_1(k3_funct_1(B),k1_zfmisc_1(A)) ) ) )).
fof(t22_kurato_1,axiom,( k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k2_pre_topc(k3_topmetr,k3_subset_1(u1_struct_0(k3_topmetr),k6_kurato_1))))))) = k2_rcomp_1(4,k1_xxreal_0) )).
fof(t22_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ( ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(A)),C,D),B) ) => r1_tarski(k1_kurato_2(A,C),k2_pre_topc(A,B)) ) ) ) ) )).
fof(t22_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(k1_nat_1(A,1))) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(k1_nat_1(A,1))) & k1_funct_1(B,D) = E ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(C),k1_nat_1(A,1),k1_nat_1(A,1)) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(C))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(C),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(C))) ) => ( G = k2_laplace(D,E,k1_nat_1(A,1),C,F) => k3_funct_2(k9_matrix_1(k1_nat_1(A,1)),u1_struct_0(C),k11_matrix_3(k1_nat_1(A,1),C,F),B) = k8_group_1(C,k8_group_1(C,k1_laplace(C,k4_group_1(C),k4_algstr_0(C,k1_group_1(C)),k2_xcmplx_0(D,E)),k3_matrix_0(u1_struct_0(C),F,D,E)),k3_funct_2(k9_matrix_1(A),u1_struct_0(C),k11_matrix_3(A,C,G),k4_laplace(D,A,B))) ) ) ) ) ) ) ) ) ) )).
fof(t22_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_group_4(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_group_4(A))) => ( ( D = B & E = C ) => k3_lattices(k11_group_4(A),D,E) = k8_group_4(A,B,C) ) ) ) ) ) ) )).
fof(t22_latsum_1,axiom,( ! [A] : ! [B] : ! [C] : ( l1_orders_2(C) => ! [D] : ( l1_orders_2(D) => ~ ( r2_hidden(k4_tarski(A,B),u1_orders_2(k1_latsum_1(C,D))) & v13_waybel_0(k3_xboole_0(u1_struct_0(C),u1_struct_0(D)),C) & m1_subset_1(k3_xboole_0(u1_struct_0(C),u1_struct_0(D)),k1_zfmisc_1(u1_struct_0(C))) & ~ ( r2_tarski(A,u1_struct_0(C)) & r2_tarski(B,u1_struct_0(C)) ) & ~ ( r2_tarski(A,u1_struct_0(D)) & r2_tarski(B,u1_struct_0(D)) ) & ~ ( r2_tarski(A,k6_subset_1(u1_struct_0(C),u1_struct_0(D))) & r2_tarski(B,k6_subset_1(u1_struct_0(D),u1_struct_0(C))) ) ) ) ) )).
fof(t22_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_lattices(A,B,C) = C => k1_lattices(A,B,C) = B ) ) ) ) )).
fof(t22_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) => v11_lattices(A) ) ) )).
fof(t22_lattice3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r4_lattice3(A,B,k7_domain_1(u1_struct_0(A),C,D)) <=> r3_lattices(A,k3_lattices(A,C,D),B) ) ) ) ) ) )).
fof(t22_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => k3_lattice2(u1_struct_0(A),A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),C,B),D) = k3_lattice2(u1_struct_0(A),A,B,k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,D)) ) ) ) ) )).
fof(t22_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => k8_lattice5(A,k1_ordinal1(B)) = k5_lattice5(k8_lattice5(A,B)) ) ) )).
fof(t22_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_lattice6(B,A) => v3_lattice6(B,A) ) ) ) )).
fof(t22_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => ( v1_funct_1(k5_lattice8(A,B,C,D,E)) & v1_funct_2(k5_lattice8(A,B,C,D,E),k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)) & m1_subset_1(k5_lattice8(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_lattice8(A,E),k3_lattice8(A,E)),u1_struct_0(B)))) ) ) ) ) ) ) )).
fof(t22_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r3_lattices(A,B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v18_lattices(D,A) & v21_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v2_filter_2(D,A) & ~ r2_tarski(B,D) & r2_tarski(C,D) ) ) ) ) ) ) )).
fof(t22_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_lattices(A,k7_lattices(A,B)) = B ) ) )).
fof(t22_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) => ( ~ r1_xxreal_0(C,k7_nat_d(k39_glib_000(B),k1_recdef_1(k5_lexbfs(A,B,C),D))) & ~ r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,B,C),D),k7_nat_d(k39_glib_000(B),C)) ) ) ) ) ) )).
fof(t22_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,C) => k8_lfuzzy_0(A,C,k3_fuzzy_4(A,B,C,D,E),F,G) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(k5_numbers,1)),a_7_0_lfuzzy_0(A,B,C,D,E,F,G)) ) ) ) ) ) ) ) )).
fof(t22_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k3_fuzzy_4(A,A,A,k4_fuzzy_4(A,A),B),B) ) ) )).
fof(t22_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_limfunc1(A) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(C,k1_funct_1(B,D)) ) ) ) | v1_limfunc1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) ) )).
fof(t22_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r5_limfunc2(C,B) => ( r1_xxreal_0(A,k5_numbers) | r5_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r5_limfunc2(C,B) => ( r1_xxreal_0(k5_numbers,A) | r6_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r6_limfunc2(C,B) => ( r1_xxreal_0(A,k5_numbers) | r6_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) & ( r6_limfunc2(C,B) => ( r1_xxreal_0(k5_numbers,A) | r5_limfunc2(k26_valued_1(k1_numbers,k1_numbers,C,A),B) ) ) ) ) ) ) )).
fof(t22_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_xtuple_0(B)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k9_xtuple_0(B)) ) ) ) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ~ ( v8_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) & ~ v2_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & ~ v2_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) ) ) | r3_limfunc3(B,A) ) ) ) ) )).
fof(t22_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( r1_lmod_6(A,C,k1_vectsp_5(A,B,C,D)) & r1_lmod_6(A,D,k1_vectsp_5(A,B,C,D)) ) ) ) ) ) )).
fof(t22_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_vectsp_4(F,A,C) => ( k1_algstr_0(k17_lmod_7(A,C,F),k18_lmod_7(A,C,F,D),k18_lmod_7(A,C,F,E)) = k18_lmod_7(A,C,F,k3_rlvect_1(C,D,E)) & k3_vectsp_1(A,k17_lmod_7(A,C,F),B,k18_lmod_7(A,C,F,D)) = k18_lmod_7(A,C,F,k3_vectsp_1(A,C,B,D)) ) ) ) ) ) ) ) )).
fof(t22_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => v1_rlsub_1(k10_lopban_1(A,B),k8_lopban_1(A,B)) ) ) )).
fof(t22_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k5_struct_0(k8_lopban_2(A)) = k6_lopban_2(A) ) )).
fof(t22_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_lopban_3(B,A) => ! [C] : ( v7_ordinal1(C) => v1_lopban_3(k1_valued_0(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t22_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,D) => k8_nat_1(u1_struct_0(A),k7_lopban_4(k1_nat_1(D,1),A,C,B),E) = k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),k7_lopban_4(D,A,C,B),E),k8_nat_1(u1_struct_0(A),k6_lopban_4(k1_nat_1(D,1),A,C,B),E)) ) ) ) ) ) ) )).
fof(t22_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => r1_tarski(k10_lopclset(A),k9_setfam_1(k7_lopclset(A))) ) )).
fof(t22_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r1_lpspacc1(A,B,C,D,D) ) ) ) ) )).
fof(t22_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k1_relset_1(A,D)) => k5_numbers = k1_funct_1(D,E) ) ) => ( ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => E != k1_relset_1(A,D) ) | ( r1_mesfunc5(A,B,C,D) & k7_mesfunc5(A,B,C,D) = k5_numbers ) ) ) ) ) ) ) )).
fof(t22_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r2_tarski(E,k1_lpspace2(A,B,C,D)) & r2_tarski(F,k1_lpspace2(A,B,C,D)) ) => ( r3_mesfunc6(A,B,C,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,E))) & r3_mesfunc6(A,B,C,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,F))) & r3_mesfunc6(A,B,C,k3_valued_1(A,k1_numbers,k1_numbers,k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,E)),k2_mesfun6c(D,A,k56_valued_1(A,k1_numbers,F)))) ) ) ) ) ) ) ) ) )).
fof(t22_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_hilbert1)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( ( r2_ltlaxio1(C,A) & r2_ltlaxio1(C,B) ) <=> r2_ltlaxio1(C,k4_subset_1(k1_hilbert1,A,B)) ) ) ) ) )).
fof(t22_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(A,k3_ltlaxio1)) ) )).
fof(t22_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_hilbert1)) => ( r2_tarski(k1_ltlaxio2(A,B),k5_ltlaxio3(C)) => ( r2_tarski(A,k5_ltlaxio3(C)) & r2_tarski(B,k5_ltlaxio3(C)) & r2_tarski(k4_hilbert1(A,B),k5_ltlaxio3(C)) ) ) ) ) ) )).
fof(t22_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(C))) & r2_tarski(D,k9_ltlaxio4(C)) ) => r2_tarski(k1_ltlaxio2(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(D))) ) ) ) ) ) )).
fof(t22_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ( ( r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,C,D)),k4_cqc_the1(A)) & r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,D,E)),k4_cqc_the1(A)) ) => r2_hidden(k8_cqc_lang(A,B,k8_cqc_lang(A,C,E)),k4_cqc_the1(A)) ) ) ) ) ) ) )).
fof(t22_margrel1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & ~ v1_xboole_0(B) & v2_margrel1(B) & v3_margrel1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => k9_xtuple_0(B) = k4_finseq_2(k18_margrel1(B),A) ) ) )).
fof(t22_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_mathmorp(A,B,k6_domain_1(u1_struct_0(A),C)) = k1_mathmorp(A,k4_algstr_0(A,C),B) ) ) ) )).
fof(t22_matrix10,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,B,B) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v1_matrix10(C) => ( r1_xxreal_0(k5_numbers,A) | v2_matrix10(k6_matrix10(B,A,C)) ) ) ) ) ) )).
fof(t22_matrix11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ( v12_vectsp_1(A) <=> k1_group_1(A) != k4_algstr_0(A,k1_group_1(A)) ) ) )).
fof(t22_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v2_struct_0(D) & ~ v6_struct_0(D) & v13_algstr_0(D) & v33_algstr_0(D) & v4_vectsp_1(D) & v5_vectsp_1(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v3_group_1(D) & v5_group_1(D) & l6_algstr_0(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ( ( r2_tarski(B,k4_finseq_1(k3_matrix_1(D,C))) & r2_tarski(A,k4_finseq_1(k3_matrix_1(D,C))) ) => ( A = B | r1_xxreal_0(C,k5_numbers) | k1_matrix_6(C,D,k6_matrix12(C,C,D,k3_matrix_1(D,C),B,A,E)) = k6_matrix12(C,C,D,k3_matrix_1(D,C),B,A,k4_algstr_0(D,E)) ) ) ) ) ) ) ) )).
fof(t22_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,A,2,2) & m2_finseq_1(B,k3_finseq_2(A)) ) => B = k15_matrix_0(A,k3_matrix_0(A,B,1,1),k3_matrix_0(A,B,1,2),k3_matrix_0(A,B,2,1),k3_matrix_0(A,B,2,2)) ) ) )).
fof(t22_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k13_fvsum_1(A,k12_finseq_1(u1_struct_0(A),k4_struct_0(A)),k12_finseq_1(u1_struct_0(A),B)) = k4_struct_0(A) ) ) )).
fof(t22_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k5_numbers ) => ( k7_matrlin(u1_struct_0(A),B,C) = C & k7_matrlin(u1_struct_0(A),C,B) = C ) ) ) ) ) )).
fof(t22_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ( ( v3_matrix16(C,u1_struct_0(B)) & v3_matrix16(D,u1_struct_0(B)) & v3_matrix16(E,u1_struct_0(B)) ) => v3_matrix16(k3_matrix_3(B,k3_matrix_3(B,C,D),E),u1_struct_0(B)) ) ) ) ) ) ) )).
fof(t22_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,B,k5_numbers,A) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( k3_finseq_1(C) = k5_numbers & k1_matrix_0(C) = k5_numbers & k2_matrix_0(C) = k1_xboole_0 ) ) ) ) )).
fof(t22_matrix_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( k1_matrix_0(B) = k3_finseq_1(C) => ( k1_matrix_0(C) = k5_numbers | k4_matrix_0(u1_struct_0(A),k4_matrix_3(A,B,C)) = k4_matrix_3(A,k4_matrix_0(u1_struct_0(A),C),k4_matrix_0(u1_struct_0(A),B)) ) ) ) ) ) )).
fof(t22_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k1_matrix_0(B) = k1_matrix_0(C) ) => B = k3_matrix_3(A,k1_matrix_4(A,B,C),C) ) ) ) ) )).
fof(t22_matrix_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( k1_matrix_0(B) = k3_finseq_1(C) => ( r1_xxreal_0(k3_finseq_1(B),k5_numbers) | r1_xxreal_0(k3_finseq_1(C),k5_numbers) | k4_matrix_3(A,k1_matrix_3(A,k3_finseq_1(B),k1_matrix_0(B)),C) = k1_matrix_3(A,k3_finseq_1(B),k1_matrix_0(C)) ) ) ) ) ) )).
fof(t22_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v2_matrix_6(C,A,B) & v2_matrix_6(D,A,B) ) => ( r1_xxreal_0(A,k5_numbers) | ( r1_matrix_6(A,B,C,D) <=> v2_matrix_6(k4_matrix_3(B,C,D),A,B) ) ) ) ) ) ) ) )).
fof(t22_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => ! [C] : ( m2_finseq_1(C,u1_struct_0(A)) => k4_matrix_7(A,k8_finseq_1(u1_struct_0(A),B,C)) = k8_finseq_1(u1_struct_0(A),k4_matrix_7(A,B),k4_matrix_7(A,C)) ) ) ) )).
fof(t22_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_6(C,A,B) & k4_matrix_3(B,D,C) = k2_matrix_1(B,A) ) => D = k2_matrix_1(B,A) ) ) ) ) ) )).
fof(t22_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),3,3) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ( K = k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A))),k3_finseq_4(u1_struct_0(A),B,C,D),k3_finseq_4(u1_struct_0(A),E,F,G),k3_finseq_4(u1_struct_0(A),H,I,J)) => ! [L] : ( m1_matrix_1(L,k9_matrix_1(3)) => ( L = k3_finseq_4(k4_ordinal1,1,3,2) => k10_matrix_3(3,A,K,L) = k3_finseq_4(u1_struct_0(A),B,G,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ( r1_xxreal_0(1,k3_finseq_1(k1_complsp2(A))) => k1_finsop_1(k2_numbers,k1_complsp2(A),k3_binop_2) = k8_complex1(k1_finsop_1(k2_numbers,A,k3_binop_2)) ) ) )).
fof(t22_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_matrixj1(C,A) & m2_finseq_1(C,k3_finseq_2(k3_finseq_2(A))) ) => ( C = k1_xboole_0 => k13_matrixj1(A,B,C) = k1_xboole_0 ) ) ) ) )).
fof(t22_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,B) & l1_vectsp_1(D,B) ) => ! [E] : ( m2_finseq_1(E,u1_struct_0(D)) => ( r2_tarski(A,k4_finseq_1(E)) => ( A = k3_finseq_1(E) | k4_rlvect_1(D,k5_matrlin(B,D,k7_matrix_0(u1_struct_0(B),k2_matrixj2(B,C,k3_finseq_1(E)),A),E)) = k3_rlvect_1(D,k3_vectsp_1(B,D,C,k7_partfun1(u1_struct_0(D),E,A)),k7_partfun1(u1_struct_0(D),E,k1_nat_1(A,1))) ) ) ) ) ) ) ) )).
fof(t22_matrixr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( k1_matrix_0(C) = k3_finseq_1(D) => k4_matrix_3(A,C,k6_matrix_3(A,D,B)) = k6_matrix_3(A,k4_matrix_3(A,C,D),B) ) ) ) ) ) )).
fof(t22_matrixr2,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) & k3_finseq_1(C) = k3_finseq_1(A) & k1_matrix_0(C) = k1_matrix_0(A) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( r2_hidden(k4_tarski(D,E),k2_matrix_0(A)) => k3_matrix_0(k1_numbers,C,D,E) = k5_real_1(k3_matrix_0(k1_numbers,A,D,E),k3_matrix_0(k1_numbers,B,D,E)) ) ) ) ) => C = k5_matrixr1(A,B) ) ) ) ) )).
fof(t22_matrlin,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & v13_vectsp_1(E,B,C) & v1_mod_2(E,A,B,C) ) => ! [F] : ( m1_matrlin(F,A,B) => ( k4_finseqop(u1_struct_0(B),u1_struct_0(C),F,D) = k4_finseqop(u1_struct_0(B),u1_struct_0(C),F,E) => ( r1_xxreal_0(k3_finseq_1(F),k5_numbers) | r2_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) ) ) ) ) ) ) ) ) ) )).
fof(t22_matrlin2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_matrlin(D,B,C) => ( v1_vectsp_7(k10_xtuple_0(k17_finseq_1(u1_struct_0(C),A,D)),B,C) & m1_subset_1(k10_xtuple_0(k17_finseq_1(u1_struct_0(C),A,D)),k1_zfmisc_1(u1_struct_0(C))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ( E = k10_xtuple_0(k17_finseq_1(u1_struct_0(C),A,D)) => m1_matrlin(k17_finseq_1(u1_struct_0(C),A,D),B,k1_vectsp_7(B,C,E)) ) ) ) ) ) ) ) )).
fof(t22_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_matroid0(B,A) => ! [C] : ( m1_matroid0(C,A) => k4_card_1(B) = k4_card_1(C) ) ) ) )).
fof(t22_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => k4_matrprob(A) = k3_matrprob(k4_matrix_0(k1_numbers,A)) ) )).
fof(t22_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v3_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) & v3_valued_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => k1_funct_1(k3_matrtop1(A,B,E),k4_rvsum_1(C,D)) = k4_rvsum_1(k1_funct_1(k3_matrtop1(A,B,E),C),k1_funct_1(k3_matrtop1(A,B,E),D)) ) ) ) ) ) )).
fof(t22_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_rlvect_3(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( ( v1_rlvect_3(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ~ ( k1_card_1(B) = k1_card_1(C) & ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(k2_vectsp_1),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ~ ( v1_matrix_6(D,A,k2_vectsp_1) & k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k3_matrtop1(A,A,D),k2_struct_0(k1_rlvect_3(k15_euclid(A),B))) = k2_struct_0(k1_rlvect_3(k15_euclid(A),C)) ) ) ) ) ) ) )).
fof(t22_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(D))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,D) ) => ( r1_xxreal_0(C,B) | k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,A,B,C)),E),C) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(E,B),k17_sin_cos(A)),k3_xcmplx_0(k1_funct_1(E,C),k19_sin_cos(A))) ) ) ) ) ) ) ) )).
fof(t22_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_normsp_0(A,k5_algstr_0(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B),C),C)) = k4_xxreal_3(2,k2_normsp_0(A,k5_algstr_0(A,C,B))) ) ) ) )).
fof(t22_mboolean,axiom,( ! [A] : ! [B] : r6_pboole(A,k2_mboolean(A,k7_funcop_1(A,B)),k7_funcop_1(A,k3_tarski(B))) )).
fof(t22_mcart_1,axiom,( ! [A] : ! [B] : ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ~ ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => C = k4_tarski(k1_xtuple_0(C),k2_xtuple_0(C)) ) ) )).
fof(t22_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( ! [C] : ( r2_tarski(C,B) => r2_tarski(k6_subset_1(A,C),B) ) & ! [C] : ( ( ~ v1_xboole_0(C) & v4_card_3(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( r1_tarski(C,B) => r2_tarski(k6_setfam_1(A,C),B) ) ) ) <=> ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(t22_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ( k8_nat_1(B,D,k5_numbers) = k8_nat_1(B,C,k5_numbers) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( k8_nat_1(B,D,k1_nat_1(E,1)) = k3_measure1(A,B,k8_nat_1(B,C,k1_nat_1(E,1)),k8_nat_1(B,C,E)) & r1_tarski(k8_nat_1(B,C,E),k8_nat_1(B,C,k1_nat_1(E,1))) ) ) ) => ( k8_nat_1(B,C,k5_numbers) = k8_nat_1(B,D,k5_numbers) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => k8_nat_1(B,C,k1_nat_1(E,1)) = k1_measure1(A,B,k8_nat_1(B,D,k1_nat_1(E,1)),k8_nat_1(B,C,E)) ) ) ) ) ) ) )).
fof(t22_measure6,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v6_xxreal_2(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( k8_supinf_2(A) = k7_supinf_2(B) => ( ( ~ r2_tarski(k8_supinf_2(A),A) & ~ r2_tarski(k7_supinf_2(B),B) ) | ( v6_xxreal_2(k4_subset_1(k1_numbers,A,B)) & m1_subset_1(k4_subset_1(k1_numbers,A,B),k1_zfmisc_1(k1_numbers)) ) ) ) ) ) )).
fof(t22_measure8,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v1_funct_1(k1_partfun1(k4_ordinal1,k9_setfam_1(A),B,k6_numbers,C,D)) & v1_funct_2(k1_partfun1(k4_ordinal1,k9_setfam_1(A),B,k6_numbers,C,D),k4_ordinal1,k6_numbers) & m1_subset_1(k1_partfun1(k4_ordinal1,k9_setfam_1(A),B,k6_numbers,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) ) ) ) )).
fof(t22_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => ( r1_tarski(A,B) => r1_tarski(k6_member_1(A),k6_member_1(B)) ) ) ) )).
fof(t22_membered,axiom,( ! [A] : ! [B] : ( v4_membered(B) => ( r1_tarski(A,B) => v4_membered(A) ) ) )).
fof(t22_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( k7_memstr_0(A,B,C) = k7_memstr_0(A,B,D) => k7_memstr_0(A,B,k7_nat_d(C,E)) = k7_memstr_0(A,B,k7_nat_d(D,E)) ) ) ) ) ) ) )).
fof(t22_menelaus,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( v1_xreal_0(I) => ( ( D = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),B,k6_xcmplx_0(1,G)),k1_rlvect_1(k15_euclid(2),C,G)) & E = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),C,k6_xcmplx_0(1,H)),k1_rlvect_1(k15_euclid(2),A,H)) & F = k3_rlvect_1(k15_euclid(2),k1_rlvect_1(k15_euclid(2),A,k6_xcmplx_0(1,I)),k1_rlvect_1(k15_euclid(2),B,I)) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | G = 1 | H = 1 | I = 1 | ( k3_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(G,k6_xcmplx_0(1,G)),k7_xcmplx_0(H,k6_xcmplx_0(1,H))),k7_xcmplx_0(I,k6_xcmplx_0(1,I))) = 1 <=> r1_menelaus(k5_rltopsp1(k15_euclid(2),A,D),k5_rltopsp1(k15_euclid(2),B,E),k5_rltopsp1(k15_euclid(2),C,F)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( ( E = k1_relset_1(A,D) & r2_mesfun6c(A,B,C,D) & k12_supinf_2(C,F) = k5_numbers ) => k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,k7_prob_1(A,B,E,F))) = k1_mesfun6c(A,B,C,D) ) ) ) ) ) ) ) )).
fof(t22_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k1_numbers)) & v1_mesfunc8(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k1_numbers,C,k5_numbers)) = E & ! [F] : ( v7_ordinal1(F) => r1_mesfunc6(A,B,k4_mesfunc5(A,k1_numbers,C,F),E) ) & k1_relset_1(A,D) = E & ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,E) => ( v2_comseq_2(k10_seqfunc(A,C,F)) & k12_supinf_2(D,F) = k1_seq_2(k10_seqfunc(A,C,F)) ) ) ) ) => r1_mesfunc1(A,B,D,E) ) ) ) ) ) ) )).
fof(t22_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => r2_funct_2(k4_ordinal1,k4_partfun1(A,k1_numbers),k12_mesfun7c(A,k1_mesfun9c(A,k2_numbers,C,B)),k1_mesfun9c(A,k1_numbers,k12_mesfun7c(A,C),B)) ) ) )).
fof(t22_mesfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ! [F] : ( v1_xreal_0(F) => ( ! [G] : ( m1_subset_1(G,k4_ordinal1) => k8_nat_1(B,C,G) = k9_subset_1(A,E,k17_mesfunc1(A,D,k2_xcmplx_0(F,k2_extreal1(1,k1_nat_1(G,1))))) ) => k9_subset_1(A,E,k16_mesfunc1(A,D,F)) = k2_measure2(A,B,k1_measure3(A,B,C)) ) ) ) ) ) )).
fof(t22_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( m1_subset_1(C,A) => ( ( r2_tarski(C,k1_relset_1(A,B)) & k12_supinf_2(k2_mesfunc2(A,B),C) = k1_supinf_2 ) => k12_supinf_2(k1_mesfunc2(A,B),C) = k12_supinf_2(B,C) ) ) ) ) )).
fof(t22_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v6_supinf_2(B) & v6_supinf_2(C) ) => ( k1_relset_1(A,k3_mesfunc1(A,B,C)) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & v6_supinf_2(k3_mesfunc1(A,B,C)) ) ) ) ) ) )).
fof(t22_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => v3_valued_0(k1_mesfunc5(A,B)) ) ) )).
fof(t22_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ~ ( r1_mesfunc5(A,B,C,D) & r1_mesfunc5(A,B,C,E) & ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ~ ( F = k1_relset_1(A,k3_mesfunc1(A,D,E)) & r1_xxreal_0(k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k9_mesfunc1(A,k3_mesfunc1(A,D,E)),F)),k3_supinf_2(k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k9_mesfunc1(A,D),F)),k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k9_mesfunc1(A,E),F)))) ) ) ) ) ) ) ) ) )).
fof(t22_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(k9_setfam_1(A),D,F) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k16_mesfunc1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc8(A,C),F),E)) ) => k3_tarski(k2_relset_1(B,D)) = k9_subset_1(A,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)),k16_mesfunc1(A,k5_mesfunc8(A,C),E)) ) ) ) ) ) ) )).
fof(t22_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C))) & r1_xxreal_0(D,C) ) => ( r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),D))) & r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,B,D))) ) ) ) ) ) ) )).
fof(t22_metric_1,axiom,( ! [A] : ( m1_subset_1(A,1) => ! [B] : ( m1_subset_1(B,1) => k1_binop_1(k2_metric_1,A,B) = k1_binop_1(k2_metric_1,B,A) ) ) )).
fof(t22_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k2_metric_2(A)) => ! [C] : ( m1_subset_1(C,k2_metric_2(A)) => ! [D] : ( m1_subset_1(D,k1_numbers) => ( r4_metric_2(A,B,C,D) => r4_metric_2(A,C,B,D) ) ) ) ) ) )).
fof(t22_metric_3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => ( k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k18_metric_3,A,B) = k5_numbers <=> A = B ) ) ) )).
fof(t22_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_metric_6(A,D,B) & r1_metric_6(A,D,C) ) => B = C ) ) ) ) ) )).
fof(t22_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ( r1_ordinal1(k2_waybel23(A),B) <=> r1_ordinal1(k4_topgen_1(A),B) ) ) ) )).
fof(t22_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ~ ( C = k8_euclid_7(A) & ! [D] : ( m2_rlvect_2(D,k15_euclid(A),C) => B != k6_rlvect_2(k15_euclid(A),D) ) ) ) ) ) )).
fof(t22_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( ( r2_midsp_1(A,B,D) & r2_midsp_1(A,C,D) ) => r2_midsp_1(A,B,C) ) ) ) ) ) )).
fof(t22_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k8_midsp_1(A,B,C) = k8_midsp_1(A,D,E) <=> k3_midsp_1(A,B,E) = k3_midsp_1(A,C,D) ) ) ) ) ) ) )).
fof(t22_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_midsp_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v4_midsp_2(E,B) & l1_midsp_2(E,B) ) => ! [F] : ( m2_finseq_2(F,u1_struct_0(u1_midsp_2(B,E)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,E)))) => k9_midsp_3(A,B,E,C,F) = k9_midsp_3(A,B,E,D,F) ) ) ) ) ) ) )).
fof(t22_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( r1_relset_1(A,A,D,E) & r1_tarski(B,C) ) => r1_tarski(k4_mmlquery(A,D,B),k4_mmlquery(A,E,C)) ) ) ) ) ) )).
fof(t22_mod_2,axiom,( k4_struct_0(k18_mod_2) = k5_numbers & k5_struct_0(k18_mod_2) = 1 & m1_subset_1(k4_struct_0(k18_mod_2),k1_enumset1(k5_numbers,1,2)) & m1_subset_1(k5_struct_0(k18_mod_2),k1_enumset1(k5_numbers,1,2)) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k18_mod_2),u1_struct_0(k18_mod_2)),u1_struct_0(k18_mod_2),k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2),u1_algstr_0(k18_mod_2),k13_mod_2) & r1_funct_2(k2_zfmisc_1(u1_struct_0(k18_mod_2),u1_struct_0(k18_mod_2)),u1_struct_0(k18_mod_2),k2_zfmisc_1(k1_enumset1(k5_numbers,1,2),k1_enumset1(k5_numbers,1,2)),k1_enumset1(k5_numbers,1,2),u2_algstr_0(k18_mod_2),k14_mod_2) )).
fof(t22_mod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ~ ( k1_vectsp_7(A,B,C) = B & ! [D] : ( m1_mod_3(D,A,B) => ~ r1_tarski(D,C) ) ) ) ) ) )).
fof(t22_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v8_mod_4(B,A,A) <=> ( v13_vectsp_1(B,A,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k6_algstr_0(A,C,D)) = k6_algstr_0(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) & k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,k1_group_1(A)) = k1_group_1(A) & v2_funct_1(B) & v2_funct_2(B,u1_struct_0(A)) ) ) ) ) )).
fof(t22_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ( k1_trees_2(A,k1_modal_1(A)) = k6_domain_1(A,B) => A = k5_trees_1(k2_trees_1(1),k14_trees_3(k5_numbers),k4_trees_1(A,B)) ) ) ) )).
fof(t22_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k30_modelc_1(B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))))) ) => ( r4_modelc_1(B,C,E,F,D,k9_modelc_1(A)) <=> ? [G] : ( m1_modelc_1(G,B,C) & k3_funct_2(k4_ordinal1,B,G,k5_numbers) = D & r4_modelc_1(B,C,E,F,k3_funct_2(k4_ordinal1,B,G,1),A) ) ) ) ) ) ) ) ) )).
fof(t22_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( v4_modelc_2(A) => ( r1_modelc_2(B,A) <=> ( B = k11_modelc_2(A) | B = k12_modelc_2(A) ) ) ) ) ) )).
fof(t22_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ( r1_xxreal_0(k21_modelc_3(A,B),k5_numbers) => u2_modelc_3(A,B) = k7_modelc_3(A) ) ) ) )).
fof(t22_moebius1,axiom,( ~ v1_moebius1(1) )).
fof(t22_moebius2,axiom,( k1_seq_2(k2_moebius2) = k5_numbers )).
fof(t22_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l4_algstr_0(B) ) => ( m2_monoid_0(A,A) & m3_monoid_0(B,B) ) ) ) )).
fof(t22_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) ) => k5_struct_0(k11_monoid_1(B,A)) = k5_monoid_1(u1_struct_0(B),A,k3_binop_1(u1_struct_0(B),u2_algstr_0(B))) ) )).
fof(t22_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,C) => r1_tarski(k1_morph_01(A,B,D),k1_morph_01(A,C,D)) ) ) ) ) ) )).
fof(t22_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => r2_pboole(u1_struct_0(A),k1_equation(u1_struct_0(A),C,k15_msafree(A,B)),k5_msafree3(A,B,C)) ) ) ) )).
fof(t22_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,C) => ( m3_pboole(C,A,D) => m2_pboole(E,A,B,D) ) ) ) ) ) )).
fof(t22_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( ( v5_msafree4(C,A,B) & v6_msafree4(C,A,B) & v7_msafree4(C,A,B) & v8_msafree4(C,A,B) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k3_card_3(u3_msualg_1(A,C))) => k3_msafree5(A,k1_msafree3(A,B),k1_msafree5(A,B,C,D)) = k3_msafree5(A,C,D) ) ) ) ) )).
fof(t22_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,B,k2_msaterm(A,B,C)) => ( k3_finseq_1(D) = k3_finseq_1(k1_msualg_1(A,C)) & k4_finseq_1(D) = k4_finseq_1(k1_msualg_1(A,C)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => m1_dtconstr(k1_funct_1(D,E),u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) ) ) ) ) ) ) ) )).
fof(t22_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_relat_1(C) & m1_msafree(C,A,B) ) => ? [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,k11_msafree(A,C)),u3_msualg_1(A,B)) & r2_msualg_3(A,k11_msafree(A,C),B,D) ) ) ) ) )).
fof(t22_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( ( v2_finset_1(B) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pboole(A,C,B) => v2_finset_1(C) ) ) ) => v2_finset_1(k2_mboolean(A,B)) ) ) )).
fof(t22_mssublat,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ( k1_unialg_1(A) = k1_unialg_1(B) <=> k6_msualg_1(A) = k6_msualg_1(B) ) ) ) )).
fof(t22_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),D,u3_msualg_1(A,C)) => k12_msualg_2(A,B,D) = g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C)) ) ) ) ) ) )).
fof(t22_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & m1_msualg_2(C,A,B) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,C),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),D,k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,C))) => r3_msualg_3(A,C,B,D) ) ) ) ) ) )).
fof(t22_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_6(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(k1_msualg_1(A,D))) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,D,B)) => k3_relat_1(k4_msualg_6(A,D,E,B,F),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,k2_msualg_1(A,D))) = k3_relat_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,D),E)),k4_msualg_6(A,D,E,B,k5_msualg_3(A,B,B,D,C,F))) ) ) ) ) ) ) ) )).
fof(t22_msualg_7,axiom,( ? [A] : ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & ? [B] : ( m2_nat_lat(B,A) & v2_msualg_7(B,A) & ~ v1_msualg_7(B,A) ) ) )).
fof(t22_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( m2_pboole(E,A,B,k6_pboole(A,C,D)) => ( v2_msualg_3(E,A,B,k6_pboole(A,C,D)) => v2_msualg_3(k2_msualg_9(A,B,C,D,E),A,B,D) ) ) ) ) ) )).
fof(t22_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_unialg_2(A,B) & r2_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) => r3_alg_1(A,B,C) ) ) ) ) )).
fof(t22_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v2_dilworth(B,k3_necklace(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_necklace(A)))) ) => ( v1_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t22_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( ( v1_pscomp_1(B,A) & v1_pscomp_1(C,A) ) => v1_pscomp_1(k3_nagata_1(A,B,C),A) ) ) ) ) )).
fof(t22_nagata_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v9_pre_topc(A) & v7_pre_topc(A) & ? [B] : ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) & v5_nagata_1(B,A) ) ) <=> v3_pcomps_1(A) ) ) )).
fof(t22_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(k1_nat_1(B,1),A) & r1_xxreal_0(B,A) & A != B ) ) ) )).
fof(t22_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_abian(A) <=> k4_nat_d(A,2) = 1 ) ) )).
fof(t22_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ r1_xxreal_0(A,1) => k11_nat_3(A,A) = 1 ) ) )).
fof(t22_nat_4,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( ( ~ v8_ordinal1(C) & m1_subset_1(C,k4_ordinal1) ) => ( k1_newton(A,k11_nat_3(C,A)) = k1_newton(B,k11_nat_3(C,B)) => ( r1_xxreal_0(k11_nat_3(C,A),k5_numbers) | A = B ) ) ) ) ) )).
fof(t22_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( v1_int_2(A) <=> ( k4_nat_d(k1_nat_1(k7_newton(k7_nat_d(A,1)),1),A) = k5_numbers & ~ r1_xxreal_0(A,1) ) ) ) )).
fof(t22_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v2_xxreal_0(A) ) => ! [B] : ( v1_int_1(B) => ( r1_int_5(B,A) <=> ? [C] : ( v1_int_1(C) & r2_int_1(k1_newton(C,2),B,A) ) ) ) ) )).
fof(t22_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_nat_d(k2_xcmplx_0(A,C),B) = k2_nat_d(k2_xcmplx_0(k2_nat_d(A,B),C),B) ) ) ) )).
fof(t22_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ! [F] : ( m2_cat_1(F,A,B) => ( ( r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) & r1_nattra_1(A,B,E,F) ) => ! [G] : ( m1_nattra_1(G,A,B,C,D) => ! [H] : ( m1_nattra_1(H,A,B,D,E) => ! [I] : ( m1_nattra_1(I,A,B,E,F) => r2_funct_2(u1_struct_0(A),u4_struct_0(B),k3_nattra_1(A,B,C,D,F,G,k3_nattra_1(A,B,D,E,F,H,I)),k3_nattra_1(A,B,C,E,F,k3_nattra_1(A,B,C,D,E,G,H),I)) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(D,k1_relset_1(u1_struct_0(B),C)) => ( ! [E] : ( m1_nfcont_1(E,B,D) => k9_subset_1(u1_struct_0(B),k1_relset_1(u1_struct_0(B),C),E) != k1_tarski(D) ) | r3_ncfcont1(B,A,C,D) ) ) ) ) ) ) )).
fof(t22_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) ) => ( r4_ncfcont2(A,B,C) => r10_ncfcont1(B,C,A) ) ) ) )).
fof(t22_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) <=> r2_tarski(C,u1_struct_0(A)) ) ) <=> B = u1_struct_0(A) ) ) ) )).
fof(t22_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_ndiff_3(A,B,C) => r1_nfcont_3(A,B,C) ) ) ) ) )).
fof(t22_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_ndiff_4(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_tarski(B,k1_relset_1(k1_numbers,C)) => r2_ndiff_4(A,C,B) ) ) ) ) )).
fof(t22_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_prvect_2(A,B))) => ( k5_algstr_0(k14_prvect_2(A),k3_funct_2(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A)),k4_ndiff_5(A,B,C),D),C) = k3_funct_2(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A)),k4_ndiff_5(A,B,k4_struct_0(k14_prvect_2(A))),k5_algstr_0(k11_prvect_2(A,B),D,k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,B)),k3_ndiff_5(A,B),C))) & k5_algstr_0(k14_prvect_2(A),C,k3_funct_2(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A)),k4_ndiff_5(A,B,C),D)) = k3_funct_2(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A)),k4_ndiff_5(A,B,k4_struct_0(k14_prvect_2(A))),k5_algstr_0(k11_prvect_2(A,B),k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,B)),k3_ndiff_5(A,B),C),D)) ) ) ) ) ) )).
fof(t22_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,E,C,D) & r1_ndiff_6(A,B,F,C,D) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k2_vfunct_1(u1_struct_0(A),B,E,F),C,G),k2_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,E,C,G),k6_ndiff_6(A,B,F,C,G))) ) ) ) ) ) ) ) ) ) )).
fof(t22_ndiff_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k16_lopban_1(B,C))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(F,A,B) & v1_lopban_1(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( v2_funct_1(F) & v2_funct_2(F,u1_struct_0(B)) & v1_mazurulm(F,A,B) & D = k3_relat_1(F,E) ) => k2_normsp_0(k16_lopban_1(A,C),D) = k2_normsp_0(k16_lopban_1(B,C),E) ) ) ) ) ) ) ) )).
fof(t22_neckla_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => r2_necklace(B,A) ) ) )).
fof(t22_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( r2_tarski(B,u1_struct_0(k4_necklace(A))) & r1_xxreal_0(A,B) ) ) ) )).
fof(t22_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k2_net_1(A)) => ! [C] : ( r2_tarski(B,C) => ( k2_net_1(A) = k1_xboole_0 | r2_tarski(k6_net_1(A,B),k11_net_1(A,C)) ) ) ) ) )).
fof(t22_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k3_newton(k1_nat_1(A,1),k1_nat_1(B,1)) = k2_xcmplx_0(k3_newton(k1_nat_1(A,1),B),k3_newton(A,B)) ) ) )).
fof(t22_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(k1_newton(B,k2_xcmplx_0(A,2)),k1_newton(C,k2_xcmplx_0(A,2))) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_newton(B,k2_xcmplx_0(A,1)),k1_newton(C,k2_xcmplx_0(A,1))),k6_xcmplx_0(B,C)),k3_xcmplx_0(k3_xcmplx_0(B,C),k2_xcmplx_0(k1_newton(B,A),k1_newton(C,A)))) ) ) ) )).
fof(t22_nfcont_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( r4_nfcont_1(B,C,A) <=> r4_nfcont_1(B,k2_partfun1(u1_struct_0(B),k1_numbers,C,A),A) ) ) ) )).
fof(t22_nfcont_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,C)) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(B),C,A),B) ) => ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k4_normsp_0(k1_numbers,B,C),A)) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(B),k5_vfunct_1(k1_numbers,B,C),A),B) ) ) ) ) )).
fof(t22_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,C,D))) & r1_nfcont_4(A,C,B) & r2_nfcont_4(A,D,k7_partfun1(k1_euclid(A),C,B)) ) => r1_fcont_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,C,D),B) ) ) ) ) ) )).
fof(t22_normform,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))))) ) => ( k5_relat_1(D,C) = k5_relat_1(E,C) => k6_normform(B,A,C,D) = k6_normform(B,A,C,E) ) ) ) ) ) )).
fof(t22_normsp_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( v3_normsp_1(C,B) => v3_normsp_1(k4_normsp_1(B,C,A),B) ) ) ) ) )).
fof(t22_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ( v3_pre_topc(B,k4_normsp_2(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r2_tarski(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(a_3_2_normsp_2(A,C,D),B) ) ) ) ) ) ) ) )).
fof(t22_normsp_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,B) & ! [D] : ( v1_xreal_0(D) => ( ~ r1_xxreal_0(D,k5_numbers) => r1_xxreal_0(A,k2_xcmplx_0(C,k3_xcmplx_0(B,D))) ) ) ) => r1_xxreal_0(A,C) ) ) ) ) )).
fof(t22_numbers,axiom,( k3_numbers != k1_numbers )).
fof(t22_numeral2,axiom,( r1_int_2(7,10) )).
fof(t22_numpoly1,axiom,( ! [A] : ( v1_numpoly1(A) => ~ r2_int_1(A,7,10) ) )).
fof(t22_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_o_ring_1(B,A) & v3_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t22_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & k1_funct_1(k8_openlatt(A),B) = k1_funct_1(k8_openlatt(A),C) ) ) ) ) )).
fof(t22_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v7_cat_1(k7_oppcat_1(A,B,C,D),k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B)) <=> v8_cat_1(D,A,B,C) ) ) ) ) ) )).
fof(t22_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v2_nfcont_1(k1_ordeq_01(A,B),k9_rsspace4(A,B)) & m1_subset_1(k1_ordeq_01(A,B),k1_zfmisc_1(u1_struct_0(k9_rsspace4(A,B)))) ) ) ) )).
fof(t22_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_xxreal_0(B,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k10_funct_2(u1_struct_0(A),u1_struct_0(A),F,G),k10_funct_2(u1_struct_0(A),u1_struct_0(A),F,H))),k3_xcmplx_0(D,k2_normsp_0(A,k5_algstr_0(A,G,H)))) ) ) ) => ( r1_xxreal_0(D,k5_numbers) | ! [G] : ( m1_subset_1(G,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) => ! [I] : ( ( v1_funct_1(I) & v1_nfcont_3(I,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [J] : ( ( v1_funct_1(J) & v1_nfcont_3(J,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( I = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),G) & J = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),H) ) => ! [K] : ( v1_xreal_0(K) => ( r2_hidden(K,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),I,K),k7_partfun1(u1_struct_0(A),J,K))),k3_xcmplx_0(k3_xcmplx_0(D,k6_xcmplx_0(K,B)),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),G,H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v2_orders_1(B) ) )).
fof(t22_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_orders_2(A,C,B) <=> r2_tarski(B,k1_orders_2(A,k6_domain_1(u1_struct_0(A),C))) ) ) ) ) )).
fof(t22_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(A,k1_ordinal1(B)) <=> r1_ordinal1(A,B) ) ) ) )).
fof(t22_ordinal2,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r1_ordinal1(k3_ordinal2(A),k3_ordinal2(B)) ) )).
fof(t22_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(k10_ordinal2(A,B),k10_ordinal2(A,C)) => r2_tarski(B,C) ) ) ) ) )).
fof(t22_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ~ ( B != k1_xboole_0 & k12_ordinal2(B,A) = k1_xboole_0 ) ) ) )).
fof(t22_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( r2_tarski(k5_numbers,A) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k1_ordinal5(A,C) ) ) ) => v2_ordinal5(B) ) ) ) )).
fof(t22_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_ordinal2(D) ) => ( ( D = k2_ordinal6(A) & r2_tarski(B,k9_xtuple_0(D)) & r2_tarski(C,k9_xtuple_0(D)) ) => ( r1_tarski(B,C) <=> r1_ordinal1(k1_funct_1(D,B),k1_funct_1(D,C)) ) ) ) )).
fof(t22_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,D,C) & ~ r1_orders_2(B,E,C) & k1_ortsp_1(A,B,C,D,E) != k9_algstr_0(A,k1_ortsp_1(A,B,C,E,D)) ) ) ) ) ) ) )).
fof(t22_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [E] : ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_hidden(k4_tarski(D,F),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) & r2_hidden(k4_tarski(E,F),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),D)) ) => r2_hidden(k4_tarski(C,F),k3_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),E)) ) ) ) ) ) ) ) )).
fof(t22_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( ( r6_osalg_1(A,B,C) & r6_osalg_1(A,C,B) ) => B = C ) ) ) ) )).
fof(t22_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_tarski(k8_osalg_2(A,B,C,D),k8_msualg_2(A,B,C,D)) ) ) ) ) )).
fof(t22_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_osalg_4(C,A,B) & m1_osalg_4(C,A,B) ) => v3_msualg_4(C,A,B) ) ) ) )).
fof(t22_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_parsp_1(A,B,C,D,E) => r1_parsp_1(A,B,C,E,D) ) ) ) ) ) ) )).
fof(t22_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_parsp_2(A,B,C,D) & r1_parsp_1(A,B,C,D,E) ) => ( B = C | r1_parsp_1(A,D,C,D,E) ) ) ) ) ) ) ) )).
fof(t22_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => r1_relset_1(A,B,k3_partfun1(C,A,B),C) ) )).
fof(t22_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(C)) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( D = k7_relset_1(B,C,E,A) <=> ! [F] : ( m1_subset_1(F,C) => ( r2_tarski(F,D) <=> ? [G] : ( m1_subset_1(G,B) & r2_tarski(G,k1_relset_1(B,E)) & r2_tarski(G,A) & F = k7_partfun1(C,E,G) ) ) ) ) ) ) ) ) )).
fof(t22_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v3_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( m2_finseq_1(D,A) => ! [E] : ! [F] : ( ( r2_tarski(E,A) & k1_funct_1(D,1) = E & k1_funct_1(D,k3_finseq_1(D)) = F & r1_xxreal_0(1,k3_finseq_1(D)) & ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & ~ r1_xxreal_0(k3_finseq_1(D),G) & ! [H] : ~ ( r2_tarski(H,A) & r2_hidden(k4_tarski(k1_funct_1(D,G),H),k3_eqrel_1(A,B,C)) & r2_hidden(k4_tarski(H,k1_funct_1(D,k1_nat_1(G,1))),k3_eqrel_1(A,B,C)) ) ) ) ) => r2_hidden(k4_tarski(E,F),k5_eqrel_1(A,B,C)) ) ) ) ) ) )).
fof(t22_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r3_relat_2(B,A) => v3_relat_2(B) ) ) ) )).
fof(t22_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,E,C,D) & r2_analoaf(A,B,C,E,D) ) ) ) ) ) )).
fof(t22_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) => r6_pboole(A,k2_pboole(A,B,C),C) ) ) ) )).
fof(t22_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_compts_1(A) => v2_pcomps_1(A) ) ) )).
fof(t22_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k20_pcs_0(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k20_pcs_0(A,B))) => ( C = B => r1_orders_2(k20_pcs_0(A,B),C,D) ) ) ) ) )).
fof(t22_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k4_real_ns1(A))) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ( ( E = F & G = H ) => k1_partfun1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),k7_pdiff_1(A,C,G),k1_partfun1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),E,k4_pdiff_1(D,B))) = k2_pdiff_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,C,H),k1_partfun1(k1_euclid(A),k1_euclid(B),k1_euclid(B),k1_numbers,F,k1_pdiff_1(D,B)))) ) ) ) ) ) ) ) ) ) )).
fof(t22_pdiff_2,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(2)) => ( r3_pdiff_1(2,2,A,B) => r1_fcont_1(k1_pdiff_2(2,2,A,B),k3_funct_2(k1_euclid(2),k1_numbers,k1_pdiff_1(2,2),B)) ) ) ) )).
fof(t22_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( r2_pdiff_3(B,A) & r2_pdiff_3(C,A) ) => ( r3_pdiff_1(2,2,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(1,2,B),k1_pdiff_3(1,2,C)),A) & k10_pdiff_1(2,2,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(1,2,B),k1_pdiff_3(1,2,C)),A) = k2_xcmplx_0(k3_pdiff_3(B,A),k3_pdiff_3(C,A)) ) ) ) ) ) )).
fof(t22_pdiff_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r1_pdiff_4(B,A) => ( r1_tarski(A,k1_relset_1(k1_euclid(3),B)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ( r2_tarski(C,A) => r3_pdiff_1(3,1,B,C) ) ) ) ) ) )).
fof(t22_pdiff_5,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r4_pdiff_5(B,A) <=> r3_pdiff_1(3,1,k1_pdiff_3(2,3,B),A) ) ) ) )).
fof(t22_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(B)) => ! [E] : ( v1_xreal_0(E) => ( r1_pdiff_1(B,A,C,D) => ( r1_pdiff_1(B,A,k9_integr15(A,E,k1_euclid(B),C),D) & r2_relset_1(k1_euclid(B),k1_euclid(A),k8_pdiff_1(B,A,k9_integr15(A,E,k1_euclid(B),C),D),k9_integr15(A,E,k1_euclid(B),k8_pdiff_1(B,A,C,D))) ) ) ) ) ) ) ) )).
fof(t22_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(B),k1_euclid(A)))) ) => ! [E] : ( m2_finseq_2(E,k1_numbers,k1_euclid(B)) => ( ( r1_pdiff_1(B,A,D,E) & r1_xxreal_0(1,C) & r1_xxreal_0(C,B) ) => ( r4_pdiff_1(B,A,C,D,E) & k11_pdiff_1(B,A,C,D,E) = k1_funct_1(k1_partfun1(u1_struct_0(k4_real_ns1(1)),u1_struct_0(k4_real_ns1(B)),k1_euclid(B),k1_euclid(A),k7_pdiff_1(B,C,k4_struct_0(k4_real_ns1(B))),k8_pdiff_1(B,A,D,E)),k12_finseq_1(k4_ordinal1,1)) ) ) ) ) ) ) ) )).
fof(t22_pdiff_8,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ( v3_nfcont_1(D,k4_real_ns1(A)) => ( ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,A) ) => ( r7_pdiff_1(A,B,E,C,D) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)),k14_pdiff_1(A,B,E,C,D),D) ) ) ) <=> ( r2_ndiff_1(D,k4_real_ns1(A),k4_real_ns1(B),C) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),C,D),D) ) ) ) ) ) ) ) )).
fof(t22_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_euclid(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,A) & v1_pdiff_7(E,A) & D = C & E = F & r2_pdiff_7(A,B,G,C,E) ) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ! [I] : ( m2_finseq_2(I,k1_numbers,k1_euclid(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(k4_real_ns1(A))) => ! [K] : ( m1_subset_1(K,u1_struct_0(k4_real_ns1(A))) => ( ( H = J & I = K & r2_tarski(H,E) & r2_tarski(I,E) ) => k12_euclid(k8_euclid(B,k7_partfun1(k1_euclid(B),k2_pdiff_7(A,B,G,C,E),I),k7_partfun1(k1_euclid(B),k2_pdiff_7(A,B,G,C,E),H))) = k2_normsp_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)),k5_algstr_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B))),k14_pdiff_1(A,B,G,D,F),K),k7_partfun1(u1_struct_0(k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B))),k14_pdiff_1(A,B,G,D,F),J))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_pencil_1,axiom,( ! [A] : ( ( ~ v3_pencil_1(A) & l1_pre_topc(A) ) => v1_pencil_1(k2_struct_0(A),A) ) )).
fof(t22_pencil_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ( ( v2_pencil_1(C,k5_pencil_1(A,B)) & v1_pencil_1(C,k5_pencil_1(A,B)) ) => ( v1_zfmisc_1(C) | m1_pencil_2(k3_tarski(a_3_0_pencil_2(A,B,C)),A,B) ) ) ) ) ) ) )).
fof(t22_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v9_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_pencil_1(A,B,C))) => ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => ! [F] : ( ( ~ v13_pencil_1(F) & v16_pencil_1(F,A) & m3_pboole(F,A,k12_pralg_1(A,B)) ) => ~ ( m1_pencil_2(k4_card_3(F),A,B) & r8_pboole(A,E,k1_funct_7(F,C,k6_domain_1(u1_struct_0(k2_pencil_1(A,B,C)),D))) & ~ r2_tarski(D,k1_funct_1(F,C)) & ! [G] : ( m2_finseq_1(G,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) => ~ ( k1_funct_1(G,1) = k4_card_3(E) & k1_funct_1(G,k3_finseq_1(G)) = k4_card_3(F) & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => m1_pencil_2(k1_funct_1(G,H),A,B) ) ) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(G),H) | ! [I] : ( m1_pencil_2(I,A,B) => ! [J] : ( m1_pencil_2(J,A,B) => ( ( I = k1_funct_1(G,H) & J = k1_funct_1(G,k1_nat_1(H,1)) ) => ( r1_xboole_0(I,J) & r1_pencil_3(A,B,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k1_vectsp_9(A,B)) & v1_xboole_0(k6_pencil_4(A,B,C,D)) ) ) ) ) ) )).
fof(t22_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_nat_d(2,A) <=> v1_abian(A) ) ) )).
fof(t22_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => k8_pnproc_1(A,B,k2_pre_poly(B)) = k6_partfun1(k9_funct_2(A,k4_ordinal1)) ) )).
fof(t22_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_polyalg1(A)))) ) => ( B = u1_struct_0(k13_polynom3(A)) => v3_polyalg1(B,A,k1_polyalg1(A)) ) ) ) )).
fof(t22_polyeq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( A != k5_numbers & r1_xxreal_0(k5_numbers,k1_quin_1(A,B,C)) & k4_polyeq_1(A,B,C,k5_numbers,D) = k5_numbers & D != k5_numbers & D != k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) & D != k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)) ) ) ) ) ) )).
fof(t22_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( k1_square_1(B) = A & ~ r1_xxreal_0(k5_numbers,k4_complex1(A)) & B != k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k7_complex1)) & B != k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k7_complex1)) ) ) ) )).
fof(t22_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_power(A,B) = 1 => ( r1_xxreal_0(A,k5_numbers) | A = 1 | B = k5_numbers ) ) ) ) )).
fof(t22_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ! [H] : ( v1_xcmplx_0(H) => ! [I] : ( v1_xcmplx_0(I) => ( ( G = k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(E,F),H),I)) & D = k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(E,F),k3_xcmplx_0(E,H)),k3_xcmplx_0(E,I)),k3_xcmplx_0(F,H)),k3_xcmplx_0(F,I)),k3_xcmplx_0(H,I)) & C = k4_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E,F),H),k3_xcmplx_0(k3_xcmplx_0(E,F),I)),k3_xcmplx_0(k3_xcmplx_0(E,H),I)),k3_xcmplx_0(k3_xcmplx_0(F,H),I))) & B = k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(E,F),H),I) ) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,4),k3_xcmplx_0(G,k1_newton(A,3))),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ~ ( A != E & A != F & A != H & A != I ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_polyform,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_bspace)) => k4_rlvect_1(k2_bspace,k3_pre_poly(u1_struct_0(k2_bspace),A)) = A ) )).
fof(t22_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => k4_polynom1(A,B,k8_polynom1(A,B),C) = k4_struct_0(B) ) ) )).
fof(t22_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k5_vfunct_1(k15_pre_poly(A),B,C),D) = k4_algstr_0(B,k2_polynom2(A,B,C,D)) ) ) ) ) )).
fof(t22_polynom3,axiom,( ! [A] : ! [B] : ! [C] : ( m2_finseq_1(C,k3_finseq_2(A)) => ! [D] : ( m2_finseq_1(D,k3_finseq_2(B)) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ! [H] : ( m1_subset_1(H,k4_ordinal1) => ( ( r2_tarski(E,k4_finseq_1(C)) & r2_tarski(F,k4_finseq_1(D)) & r2_tarski(G,k4_finseq_1(k1_funct_1(C,E))) & r2_tarski(H,k4_finseq_1(k1_funct_1(D,F))) & k10_pre_poly(A,C) = k10_pre_poly(B,D) & k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(E,1),k10_pre_poly(A,C))),G) = k1_nat_1(k1_wsierp_1(k17_finseq_1(k4_ordinal1,k7_nat_d(F,1),k10_pre_poly(B,D))),H) ) => ( E = F & G = H ) ) ) ) ) ) ) ) )).
fof(t22_polynom4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_polynom4(A,k1_polynom4(A,B),C) = k6_algstr_0(A,k8_nat_1(u1_struct_0(A),B,k7_nat_d(k1_algseq_1(A,B),1)),k9_nat_1(u1_struct_0(A),k4_group_1(A),C,k7_nat_d(k1_algseq_1(A,B),1))) ) ) ) )).
fof(t22_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k2_polynom4(A,k3_polynom5(A,B,D),C) = k9_nat_1(u1_struct_0(A),k4_group_1(A),k2_polynom4(A,B,C),D) ) ) ) ) )).
fof(t22_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k3_polynom1(k15_pre_poly(A),B,k4_polynom7(A,B,C)) = k1_xboole_0 | k3_polynom1(k15_pre_poly(A),B,k4_polynom7(A,B,C)) = k6_domain_1(k15_pre_poly(A),k16_pre_poly(A)) ) ) ) )).
fof(t22_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_vectsp_1(A) & v4_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k2_polynom8(A,k9_algstr_0(A,C),B) = k2_polynom8(A,C,k4_xcmplx_0(B)) ) ) ) ) )).
fof(t22_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v5_vectsp_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) & v4_valued_0(D) & v2_pre_poly(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_polynom7(A,B,k1_polyred(A,D,B,C),E),k10_polynom1(A,B,k1_polynom7(A,B,E,D),C)) ) ) ) ) ) )).
fof(t22_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( r1_poset_2(A,C,F) & ! [I] : ( m1_subset_1(I,A) => ( ( r2_tarski(I,C) => k3_funct_2(A,B,G,I) = k3_funct_2(A,B,D,I) ) & ( ~ r2_tarski(I,C) => k3_funct_2(A,B,G,I) = k3_funct_2(k2_zfmisc_1(A,B),B,E,k1_domain_1(A,B,I,k3_funct_2(A,B,G,k3_funct_2(A,A,F,I)))) ) ) ) & ! [I] : ( m1_subset_1(I,A) => ( ( r2_tarski(I,C) => k3_funct_2(A,B,H,I) = k3_funct_2(A,B,D,I) ) & ( ~ r2_tarski(I,C) => k3_funct_2(A,B,H,I) = k3_funct_2(k2_zfmisc_1(A,B),B,E,k1_domain_1(A,B,I,k3_funct_2(A,B,H,k3_funct_2(A,A,F,I)))) ) ) ) ) => r2_funct_2(A,B,G,H) ) ) ) ) ) ) ) ) ) )).
fof(t22_power,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k6_xcmplx_0(k1_power(B,A),1),k7_xcmplx_0(k6_xcmplx_0(A,1),B)) ) ) ) ) )).
fof(t22_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ( k1_msualg_1(B,D) != k1_xboole_0 => ! [E] : ( m1_subset_1(E,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ( G = k3_funct_2(k3_msualg_1(B,D,k14_pralg_2(A,B,C)),k4_msualg_1(B,D,k14_pralg_2(A,B,C)),k5_msualg_1(B,D,k14_pralg_2(A,B,C)),E) => k1_funct_1(G,F) = k1_funct_1(k5_msualg_1(B,D,k5_pralg_2(A,B,C,F)),k1_funct_1(k9_funct_6(E),F)) ) ) ) ) ) ) ) ) ) )).
fof(t22_pre_circ,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( r1_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) => k4_card_1(k1_funct_4(A,B)) = k1_nat_1(k4_card_1(A),k4_card_1(B)) ) ) ) )).
fof(t22_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v1_card_3(A) <=> ! [B] : ( r2_tarski(B,k10_xtuple_0(A)) => v1_card_1(B) ) ) ) )).
fof(t22_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) => k2_pre_topc(A,B) = B ) & ( ( v2_pre_topc(A) & k2_pre_topc(A,B) = B ) => v4_pre_topc(B,A) ) ) ) ) )).
fof(t22_prefer_1,axiom,( ! [A] : ( v1_relat_1(A) => ( v5_relat_2(A) <=> ! [B] : ! [C] : ~ ( r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(C,B),A) ) ) ) )).
fof(t22_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k2_prelamb(A,k2_prelamb(A,k2_prelamb(A,B,D),k2_prelamb(A,C,D)),k2_prelamb(A,B,C))) & r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k1_prelamb(A,k1_prelamb(A,C,B),k1_prelamb(A,k1_prelamb(A,D,C),k1_prelamb(A,D,B)))) ) ) ) ) ) )).
fof(t22_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(1,C) ) => k2_prepower(C,k3_xcmplx_0(A,B)) = k3_xcmplx_0(k2_prepower(C,A),k2_prepower(C,B)) ) ) ) ) )).
fof(t22_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_prob_1(k1_xboole_0,A,B) ) )).
fof(t22_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ! [F] : ( m2_prob_1(F,A,B) => ( r2_prob_2(A,B,F,C,D,E) => r2_prob_2(A,B,F,C,E,D) ) ) ) ) ) ) ) )).
fof(t22_prob_3,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v5_relat_1(C,B) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [D] : ( ( v5_relat_1(D,B) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( r2_funct_2(k4_ordinal1,k9_setfam_1(A),D,k2_prob_3(A,C)) => ( k1_prob_2(A,B,D,k5_numbers) = k1_prob_2(A,B,C,k5_numbers) & ! [E] : ( v7_ordinal1(E) => k1_prob_2(A,B,D,k1_nat_1(E,1)) = k6_prob_1(A,B,k1_prob_2(A,B,D,E),k1_prob_2(A,B,C,k1_nat_1(E,1))) ) ) ) ) ) ) )).
fof(t22_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ( r1_prob_4(A,B,C) <=> r1_measure3(A,B,k2_prob_4(A,B,C)) ) ) ) ) )).
fof(t22_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,B,k7_cqc_lang(A,B,B)),k4_cqc_the1(A)) ) ) )).
fof(t22_projdes1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_collsp(A) & v3_collsp(A) & v4_collsp(A) & v2_anproj_2(A) & v3_anproj_2(A) & ~ v7_anproj_2(A) & l1_collsp(A) ) => v5_anproj_2(A) ) )).
fof(t22_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ( ( v1_projpl_1(A) & ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u2_incsp_1(A)) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) ) ) ) & ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & r2_projpl_1(A,D,B,C) ) ) ) ) => ( ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ~ r5_projpl_1(A,B,C,D,E) ) ) ) ) | ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & r1_zfmisc_1(C,D,E) & r4_incsp_1(A,k8_domain_1(u1_incsp_1(A),C,D,E),B) ) ) ) ) ) ) ) )).
fof(t22_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,D) & ~ r1_incsp_1(A,B,E) & ~ r1_incsp_1(A,C,E) & ~ r1_incsp_1(A,C,F) & ~ ( k9_xtuple_0(k3_relat_1(k1_projred1(A,D,E,B),k1_projred1(A,E,F,C))) = k1_relset_1(u1_incsp_1(A),k1_projred1(A,D,E,B)) & k10_xtuple_0(k3_relat_1(k1_projred1(A,D,E,B),k1_projred1(A,E,F,C))) = k10_xtuple_0(k1_projred1(A,E,F,C)) ) ) ) ) ) ) ) ) )).
fof(t22_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ! [J] : ( m1_subset_1(J,u2_incsp_1(A)) => ! [K] : ( m1_subset_1(K,u2_incsp_1(A)) => ! [L] : ( m1_subset_1(L,u2_incsp_1(A)) => ! [M] : ( m1_subset_1(M,u2_incsp_1(A)) => ( ( r1_incsp_1(A,D,H) & r1_incsp_1(A,D,J) & r1_incsp_1(A,E,I) & r1_incsp_1(A,E,J) & r1_incsp_1(A,B,M) & r1_incsp_1(A,E,M) & r1_incsp_1(A,D,L) & r1_incsp_1(A,C,L) & r1_incsp_1(A,G,H) & r1_incsp_1(A,G,M) & r1_incsp_1(A,F,I) & r1_incsp_1(A,F,L) & r1_incsp_1(A,G,K) & r1_incsp_1(A,F,K) ) => ( r1_incsp_1(A,B,H) | r1_incsp_1(A,C,I) | r1_incsp_1(A,B,J) | r1_incsp_1(A,C,J) | r1_incsp_1(A,B,I) | r1_incsp_1(A,C,H) | r1_projred2(A,H,I,J) | k3_relat_1(k1_projred1(A,H,J,B),k1_projred1(A,J,I,C)) = k3_relat_1(k1_projred1(A,H,K,C),k1_projred1(A,K,I,B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_prvect_3,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B))))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k10_prvect_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & D = F & k12_finseq_1(u1_struct_0(B),E) = G & k1_binop_1(C,D,E) = k7_finseq_1(F,G) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(k10_prvect_2(A),B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_prvect_3(k10_prvect_2(A),B))) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,k3_rlvect_1(k5_prvect_3(k10_prvect_2(A),B),D,E)) = k3_rlvect_1(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B))),k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,D),k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k5_prvect_3(k10_prvect_2(A),B))) => ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,k1_rlvect_1(k5_prvect_3(k10_prvect_2(A),B),D,E)) = k1_rlvect_1(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B))),k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k5_prvect_3(k10_prvect_2(A),B)),u1_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,k4_struct_0(k5_prvect_3(k10_prvect_2(A),B))) = k4_struct_0(k10_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))) ) ) ) )).
fof(t22_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,A) => k1_funct_1(k3_pscomp_1(k15_euclid(2),k4_pscomp_1,A),B) = k17_euclid(B) ) ) ) )).
fof(t22_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => r1_relset_1(u1_struct_0(A),u1_struct_0(A),k9_pua2mss1(A),k6_pua2mss1(A)) ) )).
fof(t22_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ~ ( ~ v1_xboole_0(A) & r6_pboole(A,k4_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)),k1_pzfmisc1(A,B)) & B = C ) ) ) )).
fof(t22_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => r1_qc_lang1(A,B,B) ) ) )).
fof(t22_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k8_qc_lang2(A,B,C,D,E) = k15_qc_lang1(A,G,F) => ( B = G & k6_qc_lang2(A,C,D,E) = F ) ) ) ) ) ) ) ) ) )).
fof(t22_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( ( v6_qc_lang1(B,A) & v6_qc_lang1(C,A) ) <=> v6_qc_lang1(k14_qc_lang1(A,B,C),A) ) ) ) ) )).
fof(t22_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,C))) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(A,C))) => ~ ( E = k7_finseq_1(D,k9_finseq_1(B)) & v4_qc_lang1(k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),D),A) & ~ ( k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),E) = k19_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),D)) & B = k5_numbers ) & ~ ( k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),E) = k20_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),D)) & B = 1 ) ) ) ) ) ) ) )).
fof(t22_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ( r1_tarski(C,B) => v1_henmodel(C,A) ) ) ) ) )).
fof(t22_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_quantal1(A,k5_quantal1(A,B)) = B ) ) )).
fof(t22_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => k22_quaterni(k23_quaterni(A),k23_quaterni(B)) = k22_quaterni(A,B) ) ) )).
fof(t22_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k24_quaterni(k22_quaterni(k11_quaterni,A),k22_quaterni(A,k11_quaterni)) = k5_quaterni(k5_numbers,k4_xcmplx_0(k3_xcmplx_0(2,k14_quaterni(A))),k3_xcmplx_0(2,k13_quaterni(A)),k5_numbers) ) )).
fof(t22_quaterni,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,4,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(4,k1_numbers))) ) => ? [B] : ( v1_xreal_0(B) & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & A = k10_funct_4(k5_numbers,1,2,3,B,C,D,E) ) ) ) ) ) )).
fof(t22_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k1_quin_1(B,C,D) = k5_numbers => ( r1_xxreal_0(B,k5_numbers) | ( ~ ( ~ r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D),k5_numbers) & A = k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,B))) ) & ~ ( A != k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,B))) & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D),k5_numbers) ) ) ) ) ) ) ) ) )).
fof(t22_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( k4_binop_1(k7_quofield(A),k15_quofield(A),B,k11_quofield(A)) = B & k4_binop_1(k7_quofield(A),k15_quofield(A),k11_quofield(A),B) = B ) ) ) )).
fof(t22_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ! [C] : ( v7_ordinal1(C) => ( r1_radix_1(B,C,A) => C = k8_radix_1(B,A,k10_radix_1(A,B,C)) ) ) ) ) ) )).
fof(t22_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ! [D] : ( m1_random_1(D,A,B) => m1_random_1(k20_valued_1(A,k1_numbers,k1_numbers,C,D),A,B) ) ) ) ) )).
fof(t22_random_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v2_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v2_finset_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) & v7_random_3(B,A,k7_random_3(A)) ) => ( k1_funct_1(k9_random_3(A,B),k5_numbers) = k8_random_3(A,B,k5_numbers) & k1_funct_1(k9_random_3(A,B),1) = k2_random_2(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k8_random_3(A,B,k5_numbers),k8_random_3(A,B,1)) & ? [C] : ( m2_prob_1(C,k2_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1)),k1_random_1(k2_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1)))) & C = k1_funct_1(k9_random_3(A,B),1) & k1_funct_1(k9_random_3(A,B),2) = k2_random_2(k2_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1)),k1_funct_1(A,2),C,k8_random_3(A,B,2)) ) & ? [C] : ( m2_prob_1(C,k3_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2)),k1_random_1(k3_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2)))) & C = k1_funct_1(k9_random_3(A,B),2) & k1_funct_1(k9_random_3(A,B),3) = k2_random_2(k3_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2)),k1_funct_1(A,3),C,k8_random_3(A,B,3)) ) & ? [C] : ( m2_prob_1(C,k4_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2),k1_funct_1(A,3)),k1_random_1(k4_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2),k1_funct_1(A,3)))) & C = k1_funct_1(k9_random_3(A,B),3) & k1_funct_1(k9_random_3(A,B),4) = k2_random_2(k4_zfmisc_1(k1_funct_1(A,k5_numbers),k1_funct_1(A,1),k1_funct_1(A,2),k1_funct_1(A,3)),k1_funct_1(A,4),C,k8_random_3(A,B,4)) ) ) ) ) )).
fof(t22_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v13_vectsp_1(D,B,C) & v1_mod_2(D,A,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ! [F] : ( ( v2_vectsp_7(F,A,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ( ( v2_vectsp_7(E,A,k1_ranknull(A,B,C,D)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_ranknull(A,B,C,D)))) & r1_tarski(E,F) ) => v2_funct_1(k2_partfun1(u1_struct_0(B),u1_struct_0(C),D,k7_subset_1(u1_struct_0(B),F,E))) ) ) ) ) ) ) ) )).
fof(t22_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( ~ ( ~ r1_xxreal_0(1,k5_xcmplx_0(k1_rat_1(A))) & v1_int_1(A) ) & ~ ( ~ v1_int_1(A) & r1_xxreal_0(1,k5_xcmplx_0(k1_rat_1(A))) ) ) ) )).
fof(t22_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v4_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => ! [C] : ( m1_ratfunc1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(D,A) & ~ v1_ratfunc1(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( B = k3_ratfunc1(A,k12_polynom3(A,D,k4_ratfunc1(A,C)),k12_polynom3(A,D,k5_ratfunc1(A,C))) & v5_ratfunc1(C,A) ) => ( ! [E] : ( m2_finseq_1(E,u1_struct_0(k13_polynom3(A))) => ~ ( D = k3_group_4(k13_polynom3(A),E) & ! [F] : ( m1_subset_1(F,k4_ordinal1) => ~ ( r2_tarski(F,k4_finseq_1(E)) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( r1_ratfunc1(A,k4_ratfunc1(A,B),k5_ratfunc1(A,B),G) & k1_funct_1(E,F) = k3_hurwitz(A,G,1) ) ) ) ) ) ) | k11_ratfunc1(A,B) = k6_ratfunc1(A,C) ) ) ) ) ) ) )).
fof(t22_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ~ ( v3_rcomp_1(A) & v3_xxreal_2(A) & r2_hidden(k3_seq_4(A),A) ) ) )).
fof(t22_rcomp_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v4_xxreal_2(A) => ( r2_hidden(k2_seq_4(A),A) | r1_tarski(A,k10_prob_1(k2_seq_4(A))) ) ) ) )).
fof(t22_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => r2_funct_2(k4_ordinal1,k4_ordinal1,k1_real_3(A,k5_numbers),k8_funcop_1(k4_ordinal1,k4_ordinal1,k5_numbers)) ) )).
fof(t22_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_real_lat(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_real_lat(A))) => k1_binop_1(k5_real_lat(A),B,C) = k1_binop_1(k5_real_lat(A),C,B) ) ) ) )).
fof(t22_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k8_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k8_struct_0(A)) => ( k8_group_1(A,B,C) = k5_struct_0(A) => C = k3_funct_2(k8_struct_0(A),k8_struct_0(A),k5_realset2(A),B) ) ) ) ) )).
fof(t22_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k8_struct_0(A)) => ( k4_binop_1(u1_struct_0(A),k4_realset2(A),B,k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),k5_struct_0(A),B)) = k5_struct_0(A) & k4_binop_1(u1_struct_0(A),k4_realset2(A),k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),k5_struct_0(A),B),B) = k5_struct_0(A) ) ) ) )).
fof(t22_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [E] : ( ( v1_rearran1(E) & v2_rearran1(E) & v3_rearran1(E,k1_zfmisc_1(A)) & m2_finseq_1(E,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(D,B) & k4_card_1(A) = k4_card_1(B) ) => ( ( r2_tarski(C,k1_funct_1(k2_rearran1(A,E),1)) => k1_funct_1(k4_rearran1(B,A,E,D),C) = k1_funct_1(k20_rfunct_3(B,D,B),1) ) & ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(1,F) & r2_tarski(C,k6_subset_1(k1_funct_1(k2_rearran1(A,E),k1_nat_1(F,1)),k1_funct_1(k2_rearran1(A,E),F))) ) => ( r1_xxreal_0(k3_finseq_1(k2_rearran1(A,E)),F) | k1_funct_1(k4_rearran1(B,A,E,D),C) = k1_funct_1(k20_rfunct_3(B,D,B),k1_nat_1(F,1)) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k2_relat_1(k3_xboole_0(A,B)) = k3_xboole_0(k2_relat_1(A),k2_relat_1(B)) ) ) )).
fof(t22_relat_2,axiom,( ! [A] : ( v1_relat_1(A) => ( v4_relat_2(A) <=> r1_tarski(k3_xboole_0(A,k2_relat_1(A)),k4_relat_1(k9_xtuple_0(A))) ) ) )).
fof(t22_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( k7_relset_1(A,B,C,A) = k2_relset_1(B,C) & k8_relset_1(A,B,C,B) = k1_relset_1(A,C) ) ) )).
fof(t22_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => r1_tarski(k5_setfam_1(B,k7_relset_1(k9_setfam_1(A),k9_setfam_1(B),k4_relset_2(B,A,C),A)),k7_relset_1(A,B,C,k3_tarski(A))) ) )).
fof(t22_revrot_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_tarski(k10_xtuple_0(A),k10_xtuple_0(B)) => r1_tarski(k10_xtuple_0(k2_goboard1(A)),k10_xtuple_0(k2_goboard1(B))) ) ) ) )).
fof(t22_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => ( r1_tarski(A,B) => ! [C] : ! [D] : ( r1_rewrite1(A,C,D) => r1_rewrite1(B,C,D) ) ) ) ) )).
fof(t22_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => r1_relset_1(k8_afinsq_1(A),k8_afinsq_1(A),B,k7_rewrite2(A,B)) ) )).
fof(t22_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(C)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(C)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k8_afinsq_1(C))) => ! [G] : ( l1_rewrite3(G,F) => ~ ( r2_rewrite3(C,F,G,A,D,B,E) & ! [H] : ( m1_subset_1(H,k8_afinsq_1(C)) => ~ ( r1_rewrite3(F,G,A,H,B) & D = k1_flang_1(C,H,E) ) ) ) ) ) ) ) ) )).
fof(t22_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ? [B] : ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) & r2_classes1(A,B) ) ) )).
fof(t22_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k45_valued_1(A,k45_valued_1(B,C)) = k1_valued_1(k45_valued_1(A,B),C) ) ) ) )).
fof(t22_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r2_hidden(D,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) ) )).
fof(t22_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,k8_finseq_1(k3_rfunct_3(A,k1_numbers),k12_finseq_1(k3_rfunct_3(A,k1_numbers),C),B)),k5_rfunct_3(A,k1_numbers,C,k14_rfunct_3(A,B))) ) ) ) )).
fof(t22_rfunct_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_tarski(A,k9_xtuple_0(B)) => ( ( r6_rfunct_4(B,A) & r8_rfunct_4(B,A) ) <=> v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) ) )).
fof(t22_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v7_valued_0(A) & v1_seq_2(A) ) => v1_comseq_2(A) ) ) )).
fof(t22_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r4_gcd_1(A,k8_group_1(A,D,C),k8_group_1(A,B,E)) & r4_gcd_1(A,D,B) ) => r4_gcd_1(A,C,E) ) ) ) ) ) ) )).
fof(t22_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k17_ringcat1(A))) => ! [C] : ( m3_ringcat1(C,k10_ringcat1(k9_ringcat1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k17_ringcat1(A))) => ! [E] : ( m2_ringcat1(E,k9_ringcat1(A)) => ( v2_ringcat1(B) & m3_ringcat1(B,k10_ringcat1(k9_ringcat1(A))) & m1_subset_1(C,u4_struct_0(k17_ringcat1(A))) & v36_algstr_0(D) & m2_ringcat1(D,k9_ringcat1(A)) & m1_subset_1(E,u1_struct_0(k17_ringcat1(A))) ) ) ) ) ) ) )).
fof(t22_rlaffin1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_rlvect_2(C,B) => r1_tarski(k3_rlvect_2(B,k2_rlaffin1(B,C,A)),k1_convex1(B,k3_rlvect_2(B,C),A)) ) ) ) )).
fof(t22_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,C) => ( v1_xboole_0(k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B))) | k1_funct_1(k2_rlaffin2(A),C) = k3_rlvect_1(A,k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),k2_rlaffin2(A),k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B))),k6_xcmplx_0(1,k7_xcmplx_0(1,k4_card_1(C)))),k1_rlvect_1(A,B,k7_xcmplx_0(1,k4_card_1(C)))) ) ) ) ) ) )).
fof(t22_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_rlsub_1(C,A) => ( r1_struct_0(C,B) => r1_struct_0(C,k4_algstr_0(A,B)) ) ) ) ) )).
fof(t22_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => m1_rlsub_1(k2_rlsub_2(A,B,C),k1_rlsub_2(A,B,C)) ) ) ) )).
fof(t22_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_convex1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_tarski(C,B) & r2_tarski(D,B) ) => r1_tarski(k1_rltopsp1(A,C,D),B) ) ) ) ) ) ) )).
fof(t22_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & k5_algstr_0(A,C,D) = B ) ) ) ) )).
fof(t22_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => m2_rlvect_2(k4_rlvect_2(A),A,B) ) ) )).
fof(t22_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),B,C)) = k1_rlsub_2(A,k1_rlvect_3(A,B),k1_rlvect_3(A,C)) ) ) ) )).
fof(t22_rlvect_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( A != 1 & v1_rlvect_3(k7_domain_1(u1_struct_0(B),C,k1_rlvect_1(B,C,A)),B) ) ) ) ) )).
fof(t22_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,B) & v1_rlvect_3(C,A) ) => ( r1_xxreal_0(k4_card_1(C),k4_card_1(B)) & ? [D] : ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(D,B) & k4_card_1(D) = k6_xcmplx_0(k4_card_1(B),k4_card_1(C)) & g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) = k1_rlvect_3(A,k4_subset_1(u1_struct_0(A),C,D)) ) ) ) ) ) ) )).
fof(t22_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(A,k2_rlvect_x(B,k8_domain_1(u1_struct_0(B),C,D,E))) <=> ? [F] : ( v1_int_1(F) & ? [G] : ( v1_int_1(G) & ? [H] : ( v1_int_1(H) & A = k3_rlvect_1(B,k3_rlvect_1(B,k1_rlvect_1(B,C,F),k1_rlvect_1(B,D,G)),k1_rlvect_1(B,E,H)) ) ) ) ) ) ) ) ) )).
fof(t22_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_rmod_2(D,A,B) => ( r1_struct_0(D,C) => r1_struct_0(D,k4_algstr_0(B,C)) ) ) ) ) ) )).
fof(t22_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v2_vectsp_2(C,A) & m1_rmod_2(C,A,B) ) => ( k2_rmod_3(A,B,k2_rmod_2(A,B),C) = C & k2_rmod_3(A,B,C,k2_rmod_2(A,B)) = C ) ) ) ) )).
fof(t22_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_4(C,A,B) => m2_rmod_4(C,A,B,k2_rmod_4(A,B,C)) ) ) ) )).
fof(t22_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( k5_robbins1(A,k3_robbins1(A,B),C) = k6_lattices(A) & k5_robbins1(A,k3_robbins1(A,C),B) = k6_lattices(A) ) => B = C ) ) ) ) )).
fof(t22_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),B)),C)) = k3_robbins1(A,C) ) ) ) )).
fof(t22_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_robbins3(A) & l3_robbins3(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) <=> r1_lattices(A,B,C) ) ) ) ) )).
fof(t22_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_robbins4)) => ( ( A = k6_subset_1(3,2) & B = 2 ) => k3_lattices(k2_robbins4,A,B) = 3 ) ) ) )).
fof(t22_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k3_roughs_1(A,k9_subset_1(u1_struct_0(A),B,C)) = k9_subset_1(u1_struct_0(A),k3_roughs_1(A,B),k3_roughs_1(A,C)) ) ) ) )).
fof(t22_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,k9_subset_1(A,C,D)) = k9_subset_1(A,k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,C),k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,D)) ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,B),k4_subset_1(A,C,D)) = k4_subset_1(A,k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,B),C),k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,B),D)) ) ) ) ) )).
fof(t22_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => k2_kurato_1(A,B) = k4_enumset1(B,k4_roughs_1(A,B),k3_subset_1(u1_struct_0(A),k4_roughs_1(A,B)),k3_subset_1(u1_struct_0(A),B),k3_subset_1(u1_struct_0(A),k3_roughs_1(A,B)),k3_roughs_1(A,B)) ) ) )).
fof(t22_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( k1_rpr_1(A,B) = k6_xcmplx_0(1,k1_rpr_1(A,k3_subset_1(A,B))) & k1_rpr_1(A,k3_subset_1(A,B)) = k6_xcmplx_0(1,k1_rpr_1(A,B)) ) ) ) )).
fof(t22_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v4_normsp_0(k9_rsspace4(A,B)) & v3_normsp_0(k9_rsspace4(A,B)) & v2_normsp_1(k9_rsspace4(A,B)) ) ) ) )).
fof(t22_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) => m1_rusub_1(B,C) ) ) ) ) )).
fof(t22_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => m1_rusub_1(k2_rusub_2(A,B,C),k1_rusub_2(A,B,C)) ) ) ) )).
fof(t22_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v1_rlvect_3(C,B) => ( v1_rlvect_3(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t22_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ( v2_rusub_4(k2_struct_0(A),A) & v2_rusub_4(k1_struct_0(A),A) ) ) )).
fof(t22_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => k2_rusub_5(A,k1_rusub_1(A)) = k2_rusub_1(A) ) )).
fof(t22_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => k5_rvsum_1(A,B,k7_rvsum_1(A,B)) = k5_finseq_2(k4_ordinal1,A,k5_numbers) ) ) )).
fof(t22_rvsum_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k9_rvsum_2(k2_finseq_2(A,C),B) = k2_finseq_2(A,k3_xcmplx_0(B,C)) ) ) ) )).
fof(t22_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ! [E] : k9_xtuple_0(k7_rvsum_3(A,B,C,D,E)) = k4_finseq_1(A) ) ) ) )).
fof(t22_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ( r1_tarski(k1_ordinal4(k5_afinsq_1(k9_ami_3(1,k10_ami_3(k5_numbers))),k5_afinsq_1(k2_compos_1(k1_ami_3))),A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v5_memstr_0(D,k5_card_1(2),k1_ami_3,k5_numbers) & m1_scm_1(D,k6_afinsq_1(B,C)) ) => ( r1_extpro_1(k5_card_1(2),k1_ami_3,A,D) & k8_extpro_1(k5_card_1(2),k1_ami_3,A,D) = 1 & ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_ami_3)) ) => k1_funct_1(k6_extpro_1(k5_card_1(2),k1_ami_3,A,D),E) = k1_funct_1(D,E) ) ) ) ) ) ) ) )).
fof(t22_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v1_scm_halt(B) & v2_scm_halt(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa_m(k1_scmfsa6b(B,C,A))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(B,C,A)) ) ) ) )).
fof(t22_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 5 => k6_compos_0(u1_compos_1(k1_scmfsa_2),A) = k1_tarski(k1_xboole_0) ) ) )).
fof(t22_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ( v2_compos_1(A,k1_scmfsa_2) => k1_scmfsa6a(A) = A ) ) )).
fof(t22_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( v1_int_1(B) => r1_tarski(k10_xtuple_0(k2_scmfsa_7(A,B)),k1_enumset1(k6_scmfsa_2(A,k4_scmfsa_2(k5_numbers)),k7_scmfsa_2(A,k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))) ) ) )).
fof(t22_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r5_scmfsa7b(C,A,B) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A)),1))) = k4_card_1(C) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A)))) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,k1_scmfsa6a(C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A)),1))) ) ) ) ) ) )).
fof(t22_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) & v5_amistd_1(B,k5_card_1(3),k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(E,u1_struct_0(k1_scmfsa_2)) ) => ( ( r1_xxreal_0(k1_funct_1(E,D),k5_numbers) & r5_scmfsa7b(C,k1_scmfsa_m(E),A) ) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k2_scmfsa8b(D,B,C),E,A),k1_funct_4(k1_scmfsa6b(C,E,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),3)))) ) ) ) ) ) ) )).
fof(t22_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) & v5_memstr_0(C,k5_card_1(3),k1_scmfsa_2,k5_numbers) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( r1_tarski(E,A) & r1_scmfsa8a(C,A,E) ) => ! [F] : ( v7_ordinal1(F) => ( ( r1_tarski(k6_compos_1(k1_scmfsa_2,E,F),B) & k5_memstr_0(k5_card_1(3),k1_scmfsa_2,D) = F & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) ) => ( ! [G] : ( v7_ordinal1(G) => ( ~ r1_xxreal_0(k2_scmfsa8a(C,A,E),G) => k8_compos_0(u1_compos_1(k1_scmfsa_2),k3_extpro_1(k5_card_1(3),k1_scmfsa_2,A,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k3_extpro_1(k5_card_1(3),k1_scmfsa_2,B,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) ) ) & ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,k2_scmfsa8a(C,A,E)) => ( k2_xcmplx_0(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)),F) = k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) & k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,A,C,G)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,B,D,G)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_scmfsa9a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => ( k1_funct_1(B,k4_scmfsa_2(k5_numbers)) = 1 => ( k1_funct_1(B,C) = k5_numbers | k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k3_scmfsa_x(C,D),B,A)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,B) ) ) ) ) ) ) )).
fof(t22_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k6_scmfsa_1(A,B),C) = k1_funct_1(A,C) ) ) ) )).
fof(t22_scmfsa_2,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k10_scmfsa_2(A,B)) = 5 ) ) )).
fof(t22_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ( ( r5_scmfsa7b(C,B,A) & k1_funct_1(B,D) = k5_numbers ) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B)),2))) = k5_numbers & ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B)),2)) => r2_tarski(k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(D,C)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,B),E)),k2_afinsq_1(k3_scmfsa_x(D,C))) ) ) ) ) ) ) ) ) )).
fof(t22_scmfsa_m,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_scmfsa_2)) ) => ( ~ r2_tarski(k5_numbers,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(B),A)) & ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(B),A)) & r2_tarski(k4_scmfsa_2(C),B) ) ) ) ) ) )).
fof(t22_scmfsa_x,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k4_card_1(k6_scmfsa_x(B,A)) = k1_nat_1(k4_card_1(A),6) ) ) )).
fof(t22_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) => k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(E,C),B,A),D) = k1_funct_1(k1_scmfsa_m(B),D) ) ) ) ) ) ) )).
fof(t22_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k13_scmpds_2(C,D,A,B)) = 10 ) ) ) ) )).
fof(t22_scmpds_4,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_scmpds_4(A,B) & r1_xxreal_0(B,C) ) => r1_scmpds_4(A,C) ) ) ) ) )).
fof(t22_scmpds_5,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmpds_2)) => ~ ( k5_compos_0(u1_compos_1(k1_scmpds_2),A) = 1 & v1_scmpds_5(A) ) ) )).
fof(t22_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( k6_memstr_0(k5_card_1(2),k1_scmpds_2,C) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,D) & r1_scmpds_6(E,C,A) ) => r1_scmpds_6(E,D,B) ) ) ) ) ) ) )).
fof(t22_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ~ ( r1_tarski(C,D) & r1_scmpds_6(C,A,B) & r2_scmpds_6(C,A,B) & k3_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A)))) != k2_compos_1(k1_scmpds_2) & k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A)))) != k4_card_1(C) ) ) ) ) ) )).
fof(t22_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(k2_scmpds_8(D,E,C),B,A)) = k1_nat_1(k4_card_1(C),2) ) ) ) ) ) ) )).
fof(t22_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k8_struct_0(k1_scmring2(A)) = k8_struct_0(k1_ami_3) ) )).
fof(t22_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_scmring2(A)))) => ( B = 2 => k6_compos_0(u1_compos_1(k1_scmring2(A)),B) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t22_scmyciel,axiom,( v4_scmyciel(k1_tarski(k1_xboole_0)) )).
fof(t22_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_semi_af1(A,B,C,D) => ( r1_semi_af1(A,B,D,C) & r1_semi_af1(A,C,B,D) & r1_semi_af1(A,C,D,B) & r1_semi_af1(A,D,B,C) & r1_semi_af1(A,D,C,B) ) ) ) ) ) ) )).
fof(t22_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A),k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,B,A),k26_valued_1(k4_ordinal1,k1_numbers,C,A))) ) ) ) )).
fof(t22_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v9_ordinal1(A) ) => ( k1_seq_2(A) = k5_numbers | k1_seq_2(k37_valued_1(k4_ordinal1,k1_numbers,A)) = k5_xcmplx_0(k1_seq_2(A)) ) ) ) )).
fof(t22_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ( r3_seqfunc(A,B,C) => r2_seqfunc(A,B,C) ) ) ) )).
fof(t22_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v5_valued_0(A) & m2_valued_0(B,k1_numbers,A) ) => v5_valued_0(B) ) ) ) )).
fof(t22_series_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ( B != 1 => k8_nat_1(k1_numbers,k3_series_1(k1_prepower(B)),A) = k7_xcmplx_0(k6_xcmplx_0(1,k2_power(B,k1_nat_1(A,1))),k6_xcmplx_0(1,B)) ) ) ) )).
fof(t22_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(B,k11_newton(k1_nat_1(B,1),2)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(k3_xcmplx_0(3,B),5)),12) ) ) ) )).
fof(t22_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ~ ( k2_xcmplx_0(A,B) = 1 & r1_xxreal_0(1,k2_xcmplx_0(k1_newton(A,3),k1_newton(B,3))) ) ) ) )).
fof(t22_series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k2_xcmplx_0(k3_xcmplx_0(k7_newton(B),B),k7_xcmplx_0(B,k7_newton(k1_nat_1(B,1)))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k7_newton(k1_nat_1(B,1)),k7_xcmplx_0(1,k7_newton(k1_nat_1(B,1)))) ) ) ) ) )).
fof(t22_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(3,k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(B,C),A),A),k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(C,A),B),B)),k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(A,B),C),C))) ) ) ) )).
fof(t22_setfam_1,axiom,( ! [A] : r1_setfam_1(k4_setfam_1(A,A),A) )).
fof(t22_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( v7_ordinal1(C) => k1_funct_1(k4_setlim_1(A,B),C) = k2_xboole_0(k3_funct_2(k4_ordinal1,k9_setfam_1(A),k4_setlim_1(A,B),k1_nat_1(C,1)),k1_funct_1(B,C)) ) ) )).
fof(t22_setlim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(C) => v3_prob_1(k5_setlim_2(A,C,B)) ) ) ) )).
fof(t22_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) ) => ! [F] : ( m1_subset_1(F,A) => ( r2_tarski(F,D) => k4_binop_1(B,C,k3_funct_2(A,B,E,F),k7_setwiseo(A,B,C,D,E)) = k7_setwiseo(A,B,C,D,E) ) ) ) ) ) ) ) ) )).
fof(t22_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ! [D] : ( m2_finseq_1(D,A) => k2_partfun1(k4_ordinal1,A,k1_setwop_2(A,k8_finseq_1(A,C,D),B),k4_finseq_1(C)) = C ) ) ) ) )).
fof(t22_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => k3_sf_mastr(A) = k3_sf_mastr(k61_valued_1(A,B)) ) ) )).
fof(t22_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ( ( r1_xxreal_0(k1_funct_1(A,C),k5_numbers) & k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 ) => k5_relat_1(k1_scmfsa6b(k2_sfmastr2(C,D),A,B),k2_xboole_0(k3_sf_mastr(D),k3_scmfsa_2)) = k5_relat_1(A,k2_xboole_0(k3_sf_mastr(D),k3_scmfsa_2)) ) ) ) ) ) )).
fof(t22_sfmastr3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & ~ v1_xboole_0(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) ) => r1_tarski(k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,B,C),k3_sf_mastr(D)),k3_sf_mastr(k2_sfmastr3(A,B,C,D))) ) ) ) ) )).
fof(t22_sgraph1,axiom,( ! [A] : ! [B] : ( m1_sgraph1(B,A) => ~ ( B != g1_sgraph1(k1_xboole_0,k1_subset_1(k2_sgraph1(k1_xboole_0))) & ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_sgraph1(C))) => ~ ( ~ v1_xboole_0(C) & B = g1_sgraph1(C,D) ) ) ) ) )).
fof(t22_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_sheffer1(A,B,C) <=> r2_lattices(A,B,C) ) ) ) ) )).
fof(t22_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,C,k5_sheffer1(A,D,B))) = C ) ) ) ) )).
fof(t22_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ( k6_simplex0(A) = k2_xxreal_3(1) <=> v4_simplex0(A) ) ) )).
fof(t22_simplex1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ( ( r1_tarski(k3_simplex1(B,C),k2_struct_0(C)) & r1_xxreal_0(k6_simplex0(C),k5_numbers) ) => ( r1_xxreal_0(A,k5_numbers) | g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k5_simplex1(A,B,C) ) ) ) ) ) )).
fof(t22_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( m2_rlaffin3(C,k15_euclid(A),B) => ! [D] : ( m2_finseq_1(D,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))))) => ~ ( k3_finseq_1(D) = k4_card_1(B) & v2_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))),D),k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k4_finseq_1(D))) => r1_tarski(k3_convex1(k15_euclid(A),k7_relset_1(k4_ordinal1,u1_struct_0(k15_euclid(A)),C,E)),k5_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),k7_relset_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))),D,E))) ) & v1_xboole_0(k6_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),k2_relset_1(k9_setfam_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))),D))) ) ) ) ) ) )).
fof(t22_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(k2_numbers,C,D) = k8_nat_1(k2_numbers,k10_comseq_3(k12_sin_cos(B,A,D)),D) ) => ( v2_comseq_2(C) & k3_comseq_2(C) = k5_numbers ) ) ) ) ) )).
fof(t22_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k1_funct_1(k5_sin_cos2,k2_xcmplx_0(A,B)) = k7_xcmplx_0(k2_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)),k2_xcmplx_0(1,k3_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)))) & k1_funct_1(k5_sin_cos2,k6_xcmplx_0(A,B)) = k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)),k6_xcmplx_0(1,k3_xcmplx_0(k1_funct_1(k5_sin_cos2,A),k1_funct_1(k5_sin_cos2,B)))) ) ) ) )).
fof(t22_sin_cos3,axiom,( k10_funct_2(k2_numbers,k2_numbers,k3_sin_cos3,k5_complex1) = k5_numbers )).
fof(t22_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k19_sin_cos(A) != k5_numbers & k17_sin_cos(B) != k5_numbers & k6_xcmplx_0(k1_sin_cos4(A),k2_sin_cos4(B)) != k4_xcmplx_0(k7_xcmplx_0(k19_sin_cos(k2_xcmplx_0(A,B)),k3_xcmplx_0(k19_sin_cos(A),k17_sin_cos(B)))) ) ) ) )).
fof(t22_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(k17_sin_cos(A),3) = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,k17_sin_cos(A)),k17_sin_cos(k3_xcmplx_0(3,A))),4) ) )).
fof(t22_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ~ ( r1_xxreal_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B),A) & ~ r1_xxreal_0(k2_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)),A) & k19_sin_cos(A) = k5_numbers & A != k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)) & A != k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),B)) ) ) ) )).
fof(t22_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,1) => ( r1_xxreal_0(A,k5_numbers) | r1_xxreal_0(k5_numbers,k6_xcmplx_0(1,k1_square_1(A))) ) ) ) )).
fof(t22_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k4_sin_cos2(k3_xcmplx_0(2,A)),k4_sin_cos2(k3_xcmplx_0(2,B))),k4_sin_cos2(k3_xcmplx_0(2,C))),k4_sin_cos2(k3_xcmplx_0(2,k2_xcmplx_0(k2_xcmplx_0(A,B),C)))) = k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(4,k4_sin_cos2(k2_xcmplx_0(B,C))),k4_sin_cos2(k2_xcmplx_0(C,A))),k4_sin_cos2(k2_xcmplx_0(A,B))) ) ) ) )).
fof(t22_sin_cos9,axiom,( k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,4),k3_xcmplx_0(k7_xcmplx_0(3,4),k28_sin_cos)))) = k1_rcomp_1(k4_xcmplx_0(1),1) )).
fof(t22_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k1_fdiff_9,k4_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k28_sin_cos))) )).
fof(t22_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => v1_finset_1(a_1_0_sppol_1(A)) ) )).
fof(t22_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => k3_topreal1(2,A) = k3_topreal1(2,k4_finseq_5(u1_struct_0(k15_euclid(2)),A)) ) )).
fof(t22_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k9_pscomp_1(A),k7_pscomp_1(A)) ) )).
fof(t22_sprect_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_sprect_2(A,B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(B)) ) => r1_sprect_2(A,k3_finseq_6(u1_struct_0(k15_euclid(2)),B,C,D)) ) ) ) ) ) ) )).
fof(t22_sprect_3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) => k7_partfun1(u1_struct_0(k15_euclid(2)),k3_jordan3(A,B),1) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) ) ) ) )).
fof(t22_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A))),1) ) ) )).
fof(t22_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k5_numbers,A) => k3_square_1(k1_square_1(A)) = A ) ) )).
fof(t22_srings_1,axiom,( ! [A] : ! [B] : ( ( v1_srings_1(B,A) & v2_srings_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m2_lattice7(a_2_2_srings_1(A,B)) ) )).
fof(t22_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ? [C] : ( m1_subset_1(C,u4_struct_0(A)) & r1_stacks_1(A,C) & r2_tarski(C,k11_stacks_1(A,B)) ) ) ) )).
fof(t22_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ( B = k5_numbers => A = k5_numbers ) & ( A = k5_numbers => B = k5_numbers ) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ~ v1_stirl2_1(C,B,A) ) ) ) ) )).
fof(t22_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k16_substut1(A),k38_substut1(A)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ( k19_substut1(A,D) = k19_substut1(A,E) => ( r2_relset_1(k3_qc_lang1(A),B,k3_sublemma(A,D,B,C),k3_sublemma(A,k6_sublemma(A,D,E),B,C)) & r2_relset_1(k3_qc_lang1(A),B,k3_sublemma(A,E,B,C),k3_sublemma(A,k6_sublemma(A,D,E),B,C)) ) ) ) ) ) ) ) )).
fof(t22_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => r1_tarski(k3_subset_1(A,B),k3_subset_1(A,k9_subset_1(A,B,C))) ) ) )).
fof(t22_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => ! [D] : ( m1_subset_1(D,k5_finsub_1(k4_partfun1(A,B))) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k4_partfun1(A,B))) => k4_substlat(A,B,C,k1_finsub_1(k5_finsub_1(k4_partfun1(A,B)),D,E)) = k1_finsub_1(k5_finsub_1(k4_partfun1(A,B)),k4_substlat(A,B,C,D),k4_substlat(A,B,C,E)) ) ) ) )).
fof(t22_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ~ ( v5_substut1(B,A) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,B))),k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,k27_substut1(A,B))))) ) ) ) )).
fof(t22_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => ( k2_substut2(A,k11_cqc_lang(A,C,B),D) = k9_sublemma(A,k7_substut2(A,B,C,D),k8_substut2(A,B,C,D)) & v3_substut1(k7_substut2(A,B,C,D),A) ) ) ) ) ) )).
fof(t22_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v1_supinf_2(C,A,B) <=> v2_supinf_2(k14_supinf_2(A,B,C),A,k6_supinf_2(B)) ) ) ) ) )).
fof(t22_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => k1_symsp_1(A,B,C,D,D) = k1_group_1(A) ) ) ) ) ) )).
fof(t22_sysrel,axiom,( ! [A] : ( v1_relat_1(A) => ( ( ( r1_tarski(A,k3_relat_1(A,A)) & k3_relat_1(A,k6_subset_1(A,k4_relat_1(k10_xtuple_0(A)))) = k1_xboole_0 ) => r1_tarski(k4_relat_1(k10_xtuple_0(A)),A) ) & ( ( r1_tarski(A,k3_relat_1(A,A)) & k3_relat_1(k6_subset_1(A,k4_relat_1(k9_xtuple_0(A))),A) = k1_xboole_0 ) => r1_tarski(k4_relat_1(k9_xtuple_0(A)),A) ) ) ) )).
fof(t22_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( v1_xreal_0(C) => ( ( r1_relat_2(k1_taxonom1(A,B,C),A) & v4_metric_1(B,A) ) => ( v1_partfun1(k13_lang1(A,k1_taxonom1(A,B,C)),A) & v3_relat_2(k13_lang1(A,k1_taxonom1(A,B,C))) & v8_relat_2(k13_lang1(A,k1_taxonom1(A,B,C))) & m1_subset_1(k13_lang1(A,k1_taxonom1(A,B,C)),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) ) ) ) )).
fof(t22_taylor_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_fdiff_1(C,B) => ( r1_xxreal_0(k1_funct_1(C,B),k5_numbers) | ( r1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k4_taylor_1(A)),B) & k1_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k4_taylor_1(A)),B) = k3_xcmplx_0(k3_xcmplx_0(A,k6_prepower(k1_funct_1(C,B),k6_xcmplx_0(A,1))),k1_fdiff_1(C,B)) ) ) ) ) ) ) )).
fof(t22_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(k5_numbers,B) & r1_xxreal_0(k5_numbers,C) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( r2_hidden(E,k2_rcomp_1(k4_xcmplx_0(A),A)) => ( r1_xxreal_0(F,k5_numbers) | r1_xxreal_0(1,F) | ( r1_xxreal_0(k9_complex1(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A)),D),k3_xcmplx_0(F,E)),k1_newton(E,D)),k2_newton(D))),k7_xcmplx_0(k3_xcmplx_0(B,k1_newton(C,D)),k2_newton(D))) & r1_xxreal_0(k9_complex1(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A)),D),k3_xcmplx_0(F,E)),k1_newton(E,D)),k2_newton(D))),k7_xcmplx_0(k3_xcmplx_0(B,k1_newton(C,D)),k2_newton(D))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( B != k1_xboole_0 & v6_tbsp_1(B,A) & k2_tbsp_1(A,B) = k5_numbers & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B != k6_domain_1(u1_struct_0(A),C) ) ) ) ) )).
fof(t22_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v5_tops_1(k2_pre_topc(A,k1_tops_1(A,B)),A) ) ) )).
fof(t22_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => k1_tdlat_2(A,k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)) = k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_tdlat_2(A,B),k1_tdlat_2(A,C)) ) ) ) )).
fof(t22_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) => v3_pre_topc(B,A) ) ) ) ) )).
fof(t22_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r6_pboole(A,k2_polynom7(A,C,k5_termord(A,B,C,D)),k3_termord(A,B,C,D)) & k3_polynom7(A,C,k5_termord(A,B,C,D)) = k4_termord(A,B,C,D) ) ) ) ) ) )).
fof(t22_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_tex_1(A,B)))) => ( ( r1_tarski(C,k6_subset_1(A,k6_domain_1(A,B))) => v3_pre_topc(C,k3_tex_1(A,B)) ) & ( v3_pre_topc(C,k3_tex_1(A,B)) => ( C = A | r1_tarski(C,k6_subset_1(A,k6_domain_1(A,B))) ) ) ) ) ) ) )).
fof(t22_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(C,B) & v2_tex_2(B,A) ) => v2_tex_2(C,A) ) ) ) ) )).
fof(t22_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( C = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) => ( ( v2_tex_3(B,A) & m1_pre_topc(B,A) ) <=> ( v2_tex_3(C,A) & m1_pre_topc(C,A) ) ) ) ) ) ) )).
fof(t22_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_subset_1(k2_tex_4(A,B),k2_tex_4(A,C)) | k2_tex_4(A,B) = k2_tex_4(A,C) ) ) ) ) )).
fof(t22_tietze,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_valued_0(D) ) => ( r1_tietze(k45_valued_1(C,D),A,B) => r1_tietze(k45_valued_1(D,C),A,B) ) ) ) ) )).
fof(t22_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v10_pre_topc(B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(B,C)),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,k4_struct_0(k15_euclid(A)),k2_finseq_2(A,1))))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B,C)),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,k4_struct_0(k15_euclid(A)),k2_finseq_2(A,1))))))) ) => ~ ( v5_pre_topc(D,k1_pre_topc(B,C),k1_pre_topc(k15_euclid(A),k3_tietze_2(A,k4_struct_0(k15_euclid(A)),k2_finseq_2(A,1)))) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,k4_struct_0(k15_euclid(A)),k2_finseq_2(A,1))))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,k4_struct_0(k15_euclid(A)),k2_finseq_2(A,1))))))) ) => ~ ( v5_pre_topc(E,B,k1_pre_topc(k15_euclid(A),k3_tietze_2(A,k4_struct_0(k15_euclid(A)),k2_finseq_2(A,1)))) & k2_partfun1(u1_struct_0(B),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_tietze_2(A,k4_struct_0(k15_euclid(A)),k2_finseq_2(A,1)))),E,C) = D ) ) ) ) ) ) ) ) )).
fof(t22_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_pre_topc(E,A) ) => ( ( m1_pre_topc(D,B) & m1_pre_topc(E,C) ) => m1_pre_topc(k1_tsep_1(A,D,E),k1_tsep_1(A,B,C)) ) ) ) ) ) ) )).
fof(t22_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r1_relset_1(A,A,B,k1_eqrel_1(A)) ) )).
fof(t22_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ! [G] : ( m1_borsuk_2(G,A,D,C) => ( r4_borsuk_2(A,B,C,E,F) => r4_borsuk_2(A,B,C,E,k1_borsuk_2(A,B,D,C,k1_borsuk_2(A,B,C,D,F,k2_borsuk_2(A,D,C,G)),G)) ) ) ) ) ) ) ) ) )).
fof(t22_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_borsuk_2(C,A,B,B) => ( k1_funct_1(C,k5_numbers) = B & k1_funct_1(C,1) = B ) ) ) ) )).
fof(t22_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_borsuk_2(G,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [H] : ( m1_borsuk_2(H,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F)) => ! [I] : ( m1_borsuk_2(I,A,C,D) => ! [J] : ( m1_borsuk_2(J,A,C,D) => ! [K] : ( m1_borsuk_2(K,B,E,F) => ! [L] : ( m1_borsuk_2(L,B,E,F) => ( ( r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),I,k3_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),J,k3_topalg_4(A,B,k5_topmetr,H)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),K,k4_topalg_4(A,B,k5_topmetr,G)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),L,k4_topalg_4(A,B,k5_topmetr,H)) & r3_borsuk_2(A,C,D,I,J) & r3_borsuk_2(B,E,F,K,L) ) => r3_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,E),k4_borsuk_1(A,B,D,F),G,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_topalg_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2))))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2)))) ) => ~ ( v5_pre_topc(B,k2_borsuk_1(A,k5_topmetr),k8_toprealb(2)) & v5_pre_topc(C,k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1)),k2_topalg_2) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = k1_partfun1(u1_struct_0(k2_borsuk_1(A,k1_tex_2(k17_borsuk_1,k18_borsuk_1))),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),C,k12_toprealb) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2)))) ) => ~ ( v5_pre_topc(D,k2_borsuk_1(A,k5_topmetr),k2_topalg_2) & r2_funct_2(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k1_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),D,k12_toprealb)) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2),D,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = C & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2)))) ) => ( ( v5_pre_topc(E,k2_borsuk_1(A,k5_topmetr),k2_topalg_2) & r2_funct_2(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k8_toprealb(2)),B,k1_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),E,k12_toprealb)) & k2_partfun1(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2),E,k2_zfmisc_1(u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))) = C ) => r2_funct_2(u1_struct_0(k2_borsuk_1(A,k5_topmetr)),u1_struct_0(k2_topalg_2),D,E) ) ) ) ) ) ) ) ) )).
fof(t22_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ( r1_borsuk_2(A,B,C) => m2_subset_1(D,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) ) ) ) ) )).
fof(t22_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)))) => ( ( D = C & v1_topdim_1(D,k1_pre_topc(A,B)) ) => ( v1_topdim_1(C,A) & k2_topdim_1(k1_pre_topc(A,B),D) = k2_topdim_1(A,C) ) ) ) ) ) ) )).
fof(t22_topdim_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v5_waybel23(k1_pre_topc(A,B)) & v3_topdim_1(k1_pre_topc(A,B)) & r1_xxreal_0(k2_topdim_1(A,B),k5_numbers) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( v1_tops_2(C,A) & m1_setfam_1(C,B) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v1_tops_2(k2_relset_1(k9_setfam_1(u1_struct_0(A)),D),A) & m1_setfam_1(k2_relset_1(k9_setfam_1(u1_struct_0(A)),D),B) & ! [E] : ( r2_tarski(E,C) => r1_tarski(k1_funct_1(D,E),E) ) & ! [E] : ! [F] : ( ( r2_tarski(E,C) & r2_tarski(F,C) ) => ( E = F | r1_xboole_0(k1_funct_1(D,E),k1_funct_1(D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t22_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_topgen_1(A,B,C) <=> ? [D] : ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & k9_subset_1(u1_struct_0(A),D,B) = k6_domain_1(u1_struct_0(A),C) ) ) ) ) ) )).
fof(t22_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(C,A) => ( C = B | ( v3_pre_topc(k1_tarski(C),k5_topgen_2(A,B)) & m1_subset_1(k1_tarski(C),k1_zfmisc_1(u1_struct_0(k5_topgen_2(A,B)))) ) ) ) )).
fof(t22_topgen_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & k4_series_1(k7_nat_1(k1_numbers,k1_prepower(A),B)) != k7_xcmplx_0(k1_newton(A,B),k6_xcmplx_0(1,A)) ) ) ) )).
fof(t22_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v2_tops_2(B,A) & v2_tops_2(C,A) ) => v2_tops_2(k3_topgen_4(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t22_topgen_5,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ! [E] : ( ( v1_xreal_0(E) & v2_xxreal_0(E) ) => ( r1_xxreal_0(k12_euclid(k5_algstr_0(k15_euclid(A),B,C)),k6_xcmplx_0(D,E)) => r1_tarski(k1_topreal9(A,C,E),k1_topreal9(A,B,D)) ) ) ) ) ) ) )).
fof(t22_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_t_0topsp(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_connsp_2(E,A,D) => ? [F] : ( v3_pre_topc(F,B) & m1_connsp_2(F,B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) & r1_tarski(F,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(t22_topmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => m1_pre_topc(k1_pre_topc(A,B),k1_pre_topc(A,C)) ) ) ) ) )).
fof(t22_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ( ( k3_finseq_1(B) = k5_numbers | k3_finseq_1(B) = 1 ) <=> k3_topreal1(A,B) = k1_xboole_0 ) ) ) )).
fof(t22_topreal3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ! [I] : ( m1_subset_1(I,u1_struct_0(k14_euclid(2))) => ( ( I = B & B = k19_euclid(E,G) & C = k19_euclid(F,H) & A = k19_euclid(F,G) & r2_tarski(C,k8_metric_1(k14_euclid(2),I,D)) ) => r2_tarski(A,k8_metric_1(k14_euclid(2),I,D)) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k14_euclid(2))) => ~ ( ~ r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k8_metric_1(k14_euclid(2),D,C)) & r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),k8_metric_1(k14_euclid(2),D,C)) & r2_tarski(A,k8_metric_1(k14_euclid(2),D,C)) & v4_topreal1(B) & ~ r2_tarski(A,k3_topreal1(2,B)) & ! [E] : ( m2_finseq_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal4(k3_topreal1(2,E),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),A) & r1_tarski(k3_topreal1(2,E),k2_xboole_0(k3_topreal1(2,B),k8_metric_1(k14_euclid(2),D,C))) ) ) ) ) ) ) ) )).
fof(t22_topreal6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => m1_subset_1(k4_card_3(k5_funct_4(k1_zfmisc_1(k1_numbers),1,2,A,B)),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(t22_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v9_metric_1(B) & l1_metric_1(B) ) => v9_metric_1(k1_topreal7(A,B)) ) ) )).
fof(t22_topreal8,axiom,( ! [A] : ( ( v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(k3_finseq_1(A),B) & ~ r1_xxreal_0(k3_finseq_1(A),4) & ~ v2_funct_1(k17_finseq_1(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) )).
fof(t22_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ( ~ v1_xboole_0(k2_topreal9(A,C,B)) => r1_xxreal_0(k5_numbers,B) ) ) ) ) )).
fof(t22_topreala,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_numbers,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),k1_numbers,k1_numbers,A,B) & v1_fcont_1(B) ) => v5_pre_topc(A,k3_topmetr,k3_topmetr) ) ) ) )).
fof(t22_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => k11_toprealb(A) = k1_pre_topc(k8_toprealb(2),k7_subset_1(u1_struct_0(k8_toprealb(2)),k2_struct_0(k8_toprealb(2)),k6_domain_1(u1_struct_0(k8_toprealb(2)),A))) ) )).
fof(t22_toprealc,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v13_struct_0(B,1) & l1_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(B),D,k6_struct_0(A,B,C)) ) ) ) ) )).
fof(t22_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k15_euclid(A))))) ) => ( v1_toprns_1(B,A) => v1_toprns_1(k3_toprns_1(A,B),A) ) ) ) )).
fof(t22_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k1_tops_1(A,C)) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & r1_tarski(D,C) & r2_tarski(B,D) ) ) ) ) )).
fof(t22_tops_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v2_tops_2(B,A) => v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t22_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => v3_tops_1(k1_struct_0(A),A) ) )).
fof(t22_tops_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_topmetr),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(A)))) ) => ( v5_pre_topc(B,k3_topmetr,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k3_topmetr)) => ! [D] : ( ( v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r2_tarski(k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(A),B,C),D) & ! [E] : ( ( v1_xreal_0(E) & v2_xxreal_0(E) ) => ~ r1_tarski(k7_relset_1(u1_struct_0(k3_topmetr),u1_struct_0(A),B,k2_rcomp_1(k6_xcmplx_0(C,E),k2_xcmplx_0(C,E))),D) ) ) ) ) ) ) ) )).
fof(t22_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r3_transgeo(A,B) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_analoaf(A,C,D,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)) ) ) ) ) ) )).
fof(t22_treal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(A,B))) & v5_pre_topc(C,k4_topmetr(A,B),k4_topmetr(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(A,B))))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(k4_topmetr(A,B))) & k3_funct_2(u1_struct_0(k4_topmetr(A,B)),u1_struct_0(k4_topmetr(A,B)),C,D) = D ) ) ) ) ) )).
fof(t22_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ( r2_tarski(k1_xboole_0,A) & r2_tarski(k6_finseq_1(k4_ordinal1),A) ) ) )).
fof(t22_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_trees_2(E,A) => ~ ( r2_tarski(C,E) & r2_tarski(D,E) & r1_tarski(B,D) & ~ r2_tarski(C,k1_trees_1(B)) & ~ r1_tarski(B,C) ) ) ) ) ) ) )).
fof(t22_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v4_trees_3(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => ( ~ v1_xboole_0(k1_funct_1(A,B)) & v1_trees_1(k1_funct_1(A,B)) ) ) ) ) )).
fof(t22_trees_4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => k4_trees_4(A,k9_finseq_1(B)) = k7_trees_2(k7_funcop_1(k2_trees_1(1),A),k14_trees_3(k5_numbers),B) ) )).
fof(t22_trees_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => k9_trees_9(k1_tarski(A)) = k3_trees_9(A) ) )).
fof(t22_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => m1_pre_topc(B,k1_tsep_1(A,B,C)) ) ) ) )).
fof(t22_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(D,B) & r1_tarski(E,C) & k4_subset_1(u1_struct_0(A),D,E) = k4_subset_1(u1_struct_0(A),B,C) & r2_tsep_1(A,D,E) ) => r2_tsep_1(A,B,C) ) ) ) ) ) ) )).
fof(t22_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) & v3_borsuk_1(C,A,B) ) ) ) )).
fof(t22_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,k3_finseq_1(D)) & r2_turing_1(k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,C),D),A,B) ) => r1_turing_1(A,B,C,k1_nat_1(k1_nat_1(C,k7_partfun1(k4_ordinal1,D,1)),2)) ) ) ) ) ) )).
fof(t22_twoscomp,axiom,( k1_funct_1(k4_facirc_1,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k4_facirc_1,k11_finseq_1(k5_numbers,k5_numbers,1)) = 1 & k1_funct_1(k4_facirc_1,k11_finseq_1(k5_numbers,1,k5_numbers)) = 1 & k1_funct_1(k4_facirc_1,k11_finseq_1(k5_numbers,1,1)) = 1 & k1_funct_1(k4_facirc_1,k11_finseq_1(1,k5_numbers,k5_numbers)) = 1 & k1_funct_1(k4_facirc_1,k11_finseq_1(1,k5_numbers,1)) = 1 & k1_funct_1(k4_facirc_1,k11_finseq_1(1,1,k5_numbers)) = 1 & k1_funct_1(k4_facirc_1,k11_finseq_1(1,1,1)) = 1 )).
fof(t22_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_unialg_1(B) & m1_unialg_2(B,A) ) => ! [C] : ( ( v1_unialg_1(C) & m1_unialg_2(C,A) ) => k5_unialg_2(A,B,k8_unialg_2(A,B,C)) = B ) ) ) )).
fof(t22_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => k6_lattices(k12_unialg_2(A)) = A ) )).
fof(t22_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => r2_tarski(k1_group_1(k1_complfld),k2_uniroots(A)) ) )).
fof(t22_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => r1_tarski(k4_subset_1(u1_struct_0(A),k7_polynom5(A,B),k7_polynom5(A,C)),k7_polynom5(A,k12_polynom3(A,B,C))) ) ) ) )).
fof(t22_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v10_pre_topc(A) & v7_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( B != k1_xboole_0 & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_xboole_0 & r1_tarski(k2_pre_topc(A,C),B) ) ) ) ) ) ) )).
fof(t22_urysohn2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( r1_xxreal_0(k5_numbers,A) & ~ r1_xxreal_0(k6_xcmplx_0(B,A),1) & ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,A) & ~ r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t22_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_valuat_1(D,A,B) => r2_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,D,k7_cqc_lang(A,C,C)),k8_valuat_1(A,B,D,C)) ) ) ) ) )).
fof(t22_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( r1_tarski(k2_relset_1(A,C),k1_relset_1(A,E)) & m2_valued_0(D,A,C) ) => m2_valued_0(k8_funct_2(k4_ordinal1,B,A,D,E),B,k8_funct_2(k4_ordinal1,B,A,C,E)) ) ) ) ) ) ) )).
fof(t22_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( v7_ordinal1(C) => k61_valued_1(k3_relat_1(A,B),C) = k3_relat_1(k61_valued_1(A,C),B) ) ) ) )).
fof(t22_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k24_valued_1(k30_valued_1(B),A) = k24_valued_1(B,k4_xcmplx_0(A)) ) ) )).
fof(t22_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_vectsp10(A,B,C))) => ( m2_vectsp_4(D,A,B,C) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & D = k3_vectsp_4(A,B,E,C) ) ) ) ) ) ) )).
fof(t22_vectsp11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_vectsp_4(D,B,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(D)))) ) => ( r1_funct_2(u1_struct_0(D),u1_struct_0(D),u1_struct_0(D),u1_struct_0(C),F,k7_matrlin2(B,C,C,D,E)) => r1_funct_2(u1_struct_0(D),u1_struct_0(C),u1_struct_0(D),u1_struct_0(D),k7_matrlin2(B,C,C,D,k1_vectsp11(C,E,A)),k1_vectsp11(D,F,A)) ) ) ) ) ) ) ) )).
fof(t22_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => k3_vectsp_1(A,B,C,k4_algstr_0(B,D)) = k4_algstr_0(B,k3_vectsp_1(A,B,C,D)) ) ) ) ) )).
fof(t22_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k6_algstr_0(A,k12_algstr_0(A,B,C),C) = B ) ) ) ) )).
fof(t22_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_4(D,A,B) => ( r1_struct_0(D,C) => r1_struct_0(D,k4_algstr_0(B,C)) ) ) ) ) ) )).
fof(t22_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => k2_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)) = B ) ) )).
fof(t22_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_vectsp_6(D,A,B) => ! [E] : ( m1_vectsp_6(E,A,B) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),k5_vectsp_6(A,B,D,E),C) = k3_rlvect_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),k3_funct_2(u1_struct_0(B),u1_struct_0(A),E,C)) ) ) ) ) ) )).
fof(t22_vectsp_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k4_vectsp_6(A,B,k6_vectsp_6(A,B,D,C)) = k3_vectsp_1(A,B,D,k4_vectsp_6(A,B,C)) ) ) ) ) )).
fof(t22_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ( v1_matrlin(B,A) => ! [C] : ( ( v2_vectsp_7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( ( v2_vectsp_7(D,A,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => k1_card_1(C) = k1_card_1(D) ) ) ) ) ) )).
fof(t22_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xreal_0(D) => r2_relset_1(A,k1_numbers,k4_normsp_0(A,B,k4_vfunct_1(A,B,C,D)),k26_valued_1(A,k1_numbers,k4_normsp_0(A,B,C),k9_complex1(D))) ) ) ) ) )).
fof(t22_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( v1_xcmplx_0(D) => r2_relset_1(A,k1_numbers,k4_normsp_0(A,B,k2_vfunct_2(A,B,C,D)),k26_valued_1(A,k1_numbers,k4_normsp_0(A,B,C),k9_complex1(D))) ) ) ) ) )).
fof(t22_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( v7_ordinal1(I) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,k1_vsdiff_1(u1_struct_0(C),B,D,E,H)),k1_nat_1(I,1)),F) = k3_vectsp_1(B,D,H,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,G,D,E),k1_nat_1(I,1)),F)) ) ) ) ) ) ) ) ) ) )).
fof(t22_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => r5_waybel_1(k2_waybel10(A),k1_waybel10(k3_waybel10(A),k4_waybel10(A))) ) )).
fof(t22_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v7_waybel_0(B) & v8_waybel_0(B,A) & l1_waybel_0(B,A) ) => k1_waybel11(A,B) = k1_waybel_2(A,B) ) ) )).
fof(t22_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k2_yellow_4(A,B,B) = B ) ) )).
fof(t22_waybel13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( v5_orders_3(D,A,B) & v22_waybel_0(D,A,B) & v4_yellow_0(B,C) & v4_waybel_0(B,C) & m1_yellow_0(B,C) & v3_lattice3(C) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ~ ( r8_pboole(u1_struct_0(A),D,E) & v22_waybel_0(E,A,C) ) ) ) ) ) ) ) )).
fof(t22_waybel14,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(C,A) => v13_waybel_0(C,A) ) ) => v2_compts_1(k6_waybel_0(A,B),A) ) ) ) )).
fof(t22_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v1_waybel15(C,A) => ( r3_orders_2(A,C,B) <=> ~ r3_orders_2(A,C,k7_waybel_1(A,B)) ) ) ) ) ) )).
fof(t22_waybel16,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => r1_tarski(k1_waybel16(A),k2_waybel_6(A)) ) )).
fof(t22_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> v22_waybel_0(C,A,B) ) ) ) ) )).
fof(t22_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ! [C] : ( ( r1_tarski(B,C) & r1_tarski(C,u1_pre_topc(A)) ) => ( ( ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) & ( ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_tops_2(C,A) & v2_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) ) )).
fof(t22_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) => v22_waybel_0(k2_waybel_1(A,A,B),A,k1_yellow_2(A,A,B)) ) ) ) )).
fof(t22_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_yellow_0(C,A) & m1_yellow_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_yellow_0(D,B) & m1_yellow_0(D,B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & u1_struct_0(C) = u1_struct_0(D) & v4_waybel_0(C,A) ) => v4_waybel_0(D,B) ) ) ) ) ) )).
fof(t22_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r1_yellow_0(A,C) => ( r1_yellow_0(k5_yellow_0(A,B),C) & k1_yellow_0(k5_yellow_0(A,B),C) = k1_yellow_0(A,C) ) ) ) ) ) )).
fof(t22_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( E = k1_yellow_0(k5_yellow_1(u1_struct_0(A),B),k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),C,D)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,F) = k1_yellow_0(B,k7_domain_1(u1_struct_0(B),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F),k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,F))) ) ) ) ) ) ) ) )).
fof(t22_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_waybel25(A))) => k2_pre_topc(k1_waybel25(A),k6_domain_1(u1_struct_0(k1_waybel25(A)),B)) = k5_waybel_0(k1_waybel25(A),B) ) ) )).
fof(t22_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v1_waybel25(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,B) ) => ( ( r1_borsuk_1(B,C) & v3_lattice3(k1_waybel26(A,B)) & v3_waybel_3(k1_waybel26(A,B)) ) => ( v3_lattice3(k1_waybel26(A,C)) & v3_waybel_3(k1_waybel26(A,C)) ) ) ) ) ) )).
fof(t22_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => r1_tarski(u1_struct_0(k2_waybel27(A,B)),k9_funct_2(u1_struct_0(A),u1_struct_0(B))) ) ) )).
fof(t22_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => r1_tarski(k3_waybel28(A),k2_waybel11(A)) ) )).
fof(t22_waybel29,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v2_waybel18(B) & l1_pre_topc(B) ) => k1_waybel25(k3_waybel18(A,k2_funcop_1(A,B))) = k1_waybel29(k4_yellow_1(A,k2_funcop_1(A,k1_waybel25(B)))) ) ) )).
fof(t22_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ( v3_waybel_3(k1_yellow_1(k5_waybel11(A))) => v2_yellow13(A) ) ) )).
fof(t22_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( v1_tops_2(a_3_1_waybel31(A,B,C),B) & v1_cantor_1(a_3_1_waybel31(A,B,C),B) & m1_subset_1(a_3_1_waybel31(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) ) ) ) )).
fof(t22_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k5_waybel_0(A,C) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C)) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(C,A) => v12_waybel_0(C,A) ) ) ) ) ) )).
fof(t22_waybel33,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( ( m2_yellow_9(C,A) & m2_yellow_9(C,B) ) => ! [D] : ( m3_yellow_9(D,A,B) => m2_yellow_9(C,D) ) ) ) ) ) )).
fof(t22_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v22_waybel_0(C,A,B) => v1_waybel34(k1_waybel34(A,B,C),B,A) ) ) ) ) )).
fof(t22_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_waybel35(C,A,B) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_yellow_0(A,k4_waybel35(A,B,C,D)) ) => m1_waybel35(k6_waybel35(A,B,C),A,B) ) ) ) ) )).
fof(t22_waybel_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_orders_2(A,B,C) => r1_tarski(k6_waybel_0(A,C),k6_waybel_0(A,B)) ) ) ) ) )).
fof(t22_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) & v2_funct_2(C,u1_struct_0(B)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r3_waybel_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E),k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),E))) ) ) ) ) ) ) )).
fof(t22_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) <=> m1_subset_1(D,u1_struct_0(k3_waybel_2(A,C,B))) ) ) ) ) )).
fof(t22_waybel_3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v2_waybel_2(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_waybel_3(A,B,C) <=> ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & v12_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k1_yellow_0(A,D) => r2_tarski(B,D) ) ) ) ) ) ) ) )).
fof(t22_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r2_tarski(k4_yellow_0(A),B) ) ) )).
fof(t22_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = a_4_0_waybel_5(A,B,C,D) => r1_orders_2(A,k1_yellow_0(A,E),k5_yellow_2(A,k4_waybel_5(A,k6_waybel_5(B,C,u1_struct_0(A),D)))) ) ) ) ) ) ) )).
fof(t22_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_waybel_6(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_orders_2(A,k2_yellow_0(A,C),B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r1_orders_2(A,D,B) ) ) ) ) ) ) ) )).
fof(t22_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v11_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_subset_1(B,u1_struct_0(A)) & v2_waybel_7(B,A) ) <=> v3_waybel_7(B,A) ) ) ) )).
fof(t22_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v2_waybel_1(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v4_waybel_7(B,A) => v5_waybel_6(B,A) ) ) => v3_waybel_8(A) ) ) )).
fof(t22_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_yellow_6(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_yellow_6(A,B))) => m1_subset_1(k3_xboole_0(C,D),u1_struct_0(k8_yellow_6(A,B))) ) ) ) ) )).
fof(t22_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => u1_struct_0(k4_weddwitt(A)) = k2_xboole_0(u1_struct_0(k10_group_5(k1_uniroots(A))),k1_tarski(k4_struct_0(A))) ) )).
fof(t22_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( v2_compts_1(B,k3_pcomps_1(A)) => ( B = k1_xboole_0 | ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k3_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,C),B)),k3_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k4_weierstr(A,D),B)))),k3_metric_1(A,C,D)) ) ) ) ) ) ) )).
fof(t22_wellord1,axiom,( ! [A] : ! [B] : ! [C] : ( v1_relat_1(C) => ( r1_tarski(B,A) => k2_wellord1(k2_wellord1(C,A),B) = k2_wellord1(C,B) ) ) )).
fof(t22_wellord2,axiom,( ! [A] : k1_wellord2(k1_tarski(A)) = k1_tarski(k4_tarski(A,A)) )).
fof(t22_wsierp_1,axiom,( ! [A] : ( v1_rat_1(A) => r1_int_2(k2_rat_1(A),k1_rat_1(A)) ) )).
fof(t22_xboole_1,axiom,( ! [A] : ! [B] : k2_xboole_0(A,k3_xboole_0(A,B)) = A )).
fof(t22_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k4_xboolean(A,k7_xboolean(B,C)) = k4_xboolean(k4_xboolean(A,k5_xboolean(k3_xboolean(B),C)),k5_xboolean(k3_xboolean(C),B)) ) ) ) )).
fof(t22_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(A,C) = k6_xcmplx_0(k6_xcmplx_0(A,B),k6_xcmplx_0(C,B)) ) ) ) )).
fof(t22_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k2_xcmplx_0(A,B),k6_xcmplx_0(C,D)) => r1_xxreal_0(k2_xcmplx_0(A,D),k6_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t22_xtuple_0,axiom,( ! [A] : ( v3_xtuple_0(A) => ! [B] : ( v3_xtuple_0(B) => ( ( k7_xtuple_0(A) = k7_xtuple_0(B) & k8_xtuple_0(A) = k8_xtuple_0(B) & k5_xtuple_0(A) = k5_xtuple_0(B) & k2_xtuple_0(A) = k2_xtuple_0(B) ) => A = B ) ) ) )).
fof(t22_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,k3_xxreal_0(B,C)) => r1_xxreal_0(A,B) ) ) ) ) )).
fof(t22_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_tarski(k4_xxreal_1(A,B),k2_xxreal_1(A,B)) ) ) )).
fof(t22_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m1_xxreal_2(B,k3_xxreal_1(A,B)) ) ) )).
fof(t22_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( v1_xreal_0(A) => ( k1_xxreal_3(k3_xxreal_3(B,A),A) = B & k3_xxreal_3(k1_xxreal_3(B,A),A) = B ) ) ) ) )).
fof(t22_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ( v1_waybel_3(C,k3_yellow_3(A,B)) => ( v1_waybel_3(k8_yellow_3(A,B,C),A) & v1_waybel_3(k9_yellow_3(A,B,C),B) ) ) ) ) ) )).
fof(t22_yellow12,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => r1_relset_1(u1_struct_0(A),u1_struct_0(A),k6_partfun1(u1_struct_0(A)),k9_subset_1(k2_zfmisc_1(u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(A))),u1_orders_2(A),u1_orders_2(k7_lattice3(A)))) ) )).
fof(t22_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_tdlat_3(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_yellow13(C,A,B) & m1_yellow13(C,A,B) ) => C = k1_tarski(u1_struct_0(A)) ) ) ) )).
fof(t22_yellow14,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = k1_tarski(B) & E = k1_tarski(C) & ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(F,A) & r2_tarski(B,F) ) => r2_tarski(C,F) ) ) ) => r1_tarski(k2_pre_topc(A,D),k2_pre_topc(A,E)) ) ) ) ) ) ) )).
fof(t22_yellow15,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( v1_yellow15(B,A) => m1_eqrel_1(k2_yellow15(A,B),A) ) ) ) )).
fof(t22_yellow16,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r3_yellow16(B,A) => v3_waybel_3(B) ) ) ) )).
fof(t22_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B))) => ~ ( ! [E] : ( m1_subset_1(E,A) => v1_compts_1(k4_waybel18(A,B,E)) ) & ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) ) => ~ r1_tarski(k2_struct_0(k3_waybel18(A,B)),k3_tarski(E)) ) & ! [E] : ( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C))) => ? [F] : ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) & r1_tarski(k8_relset_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C)),k6_waybel18(A,B,C),k1_tarski(E)),k3_tarski(F)) ) ) ) ) ) ) ) )).
fof(t22_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = C & F = D & ? [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(B,F,E)) & H = G & v1_altcat_3(G,A,C,D) & v2_altcat_3(G,A,C,D) & k1_altcat_3(B,F,E,H) != k1_altcat_3(A,C,D,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t22_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ? [D] : ( ~ v2_struct_0(D) & v4_orders_2(D) & v7_waybel_0(D) & v3_yellow_6(D,A) & l1_waybel_0(D,A) & r1_waybel_0(A,D,B) & r2_tarski(C,k9_yellow_6(A,D)) ) ) ) ) ) )).
fof(t22_yellow20,axiom,( ! [A] : ( ( v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( v2_altcat_1(B) & l2_altcat_1(B) ) => ( r1_yellow20(A,B) => v2_altcat_1(k2_yellow20(A,B)) ) ) ) )).
fof(t22_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k13_lattice3(A,B,C) <=> ( r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,B,E) & r1_orders_2(A,C,E) ) => r1_orders_2(A,D,E) ) ) ) ) ) ) ) ) )).
fof(t22_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(u1_pre_topc(A))))) => k1_yellow_0(k1_yellow_1(u1_pre_topc(A)),B) = k3_tarski(B) ) ) )).
fof(t22_yellow_2,axiom,( ! [A] : ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r2_tarski(C,A) => ( r3_orders_2(B,C,k1_yellow_0(B,A)) & r3_orders_2(B,k2_yellow_0(B,A),C) ) ) ) ) )).
fof(t22_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_waybel_0(C,k3_yellow_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => ( v1_waybel_0(k4_yellow_3(A,B,C),A) & v1_waybel_0(k5_yellow_3(A,B,C),B) ) ) ) ) )).
fof(t22_yellow_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_lattice3(A,B,C) => k2_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B) = B ) ) ) ) )).
fof(t22_yellow_5,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_orders_2(A,B,C) & k12_lattice3(A,C,D) = k3_yellow_0(A) ) => k12_lattice3(A,B,D) = k3_yellow_0(A) ) ) ) ) ) )).
fof(t22_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( r2_waybel_0(A,B,C) => m2_yellow_6(k4_yellow_6(A,B,C),A,B) ) ) ) )).
fof(t22_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lattice3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lattice3(A))) => k12_lattice3(A,k9_lattice3(A,B),k9_lattice3(A,C)) = k13_lattice3(k7_lattice3(A),B,C) ) ) ) )).
fof(t22_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v8_pre_topc(A) & l1_pre_topc(A) ) => v4_yellow_8(A) ) )).
fof(t22_yellow_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( u1_pre_topc(A) = k1_cantor_1(u1_struct_0(A),B) <=> ( v1_tops_2(B,A) & v1_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(t22_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ( ( v8_zf_fund1(B,A) & r2_tarski(C,B) ) => r2_tarski(k5_zf_fund1(D,C),B) ) ) ) ) ) )).
fof(t22_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v6_zf_lang(A) => k1_funct_1(A,1) = 4 ) ) )).
fof(t22_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( m2_subset_1(D,k4_ordinal1,k1_zf_lang) => ( v11_zf_lang(k16_zf_lang(B,C,D,A)) & k22_zf_lang(k16_zf_lang(B,C,D,A)) = B & k23_zf_lang(k16_zf_lang(B,C,D,A)) = k14_zf_lang(C,D,A) ) ) ) ) ) )).
fof(t22_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( m2_subset_1(C,k4_ordinal1,k1_zf_lang) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) ) => ( r1_zf_model(D,E,k14_zf_lang(B,C,A)) <=> ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_zf_lang,D) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,D))) & ! [G] : ( m2_subset_1(G,k4_ordinal1,k1_zf_lang) => ~ ( k3_funct_2(k1_zf_lang,D,F,G) != k3_funct_2(k1_zf_lang,D,E,G) & B != G & C != G ) ) & r1_zf_model(D,F,A) ) ) ) ) ) ) ) )).
fof(t22_zfmisc_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ~ ( r1_tarski(k2_tarski(A,B),k2_tarski(C,D)) & A != C & A != D ) )).
fof(t22_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_zf_lang(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_zf_lang(C) & m2_finseq_1(C,k4_ordinal1) ) => ! [D] : ( ( v1_zf_lang(D) & m2_finseq_1(D,k4_ordinal1) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_zf_lang,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang,A))) ) => ( ( r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(C)) & r1_zf_model(A,E,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(C,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(D)) & r1_zf_model(A,E,k7_zf_lang(k2_zf_lang(3),k12_zf_lang(k2_zf_lang(k5_numbers),k7_zf_lang(k2_zf_lang(4),k11_zf_lang(D,k3_zf_lang(k2_zf_lang(4),k2_zf_lang(k5_numbers))))))) & r1_xboole_0(k1_enumset1(k2_zf_lang(k5_numbers),k2_zf_lang(1),k2_zf_lang(2)),k2_zf_model(B)) ) => ( r2_tarski(k2_zf_lang(4),k2_zf_model(B)) | ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ( ( k9_xtuple_0(F) = A & ! [G] : ( m1_subset_1(G,A) => ( ( r1_zf_model(A,k2_zf_lang1(A,E,k2_zf_lang(3),G),B) => k1_funct_1(F,G) = k3_funct_2(A,A,k1_zfmodel1(C,A,E),G) ) & ( r1_zf_model(A,k2_zf_lang1(A,E,k2_zf_lang(3),G),k5_zf_lang(B)) => k1_funct_1(F,G) = k3_funct_2(A,A,k1_zfmodel1(D,A,E),G) ) ) ) ) => r2_zfmodel1(F,A) ) ) ) ) ) ) ) ) ) )).
fof(t22_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( ( v4_ordinal1(k9_xtuple_0(B)) & v2_ordinal2(B) & r1_ordinal2(A,B) ) => ( k9_xtuple_0(B) = k1_xboole_0 | r2_ordinal2(A,k9_xtuple_0(B)) ) ) ) ) )).
fof(t22_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v7_zmodul01(B,A) & v7_zmodul01(C,A) & D = a_3_0_zmodul01(A,B,C) ) => v7_zmodul01(D,A) ) ) ) ) ) )).
fof(t22_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B != C => ! [D] : ( m2_zmodul02(D,A,k7_domain_1(u1_struct_0(A),B,C)) => k21_zmodul02(A,D) = k3_rlvect_1(A,k1_zmodul01(A,B,k3_funct_2(u1_struct_0(A),k4_numbers,D,B)),k1_zmodul01(A,C,k3_funct_2(u1_struct_0(A),k4_numbers,D,C))) ) ) ) ) ) )).
fof(t22_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,k9_int_3(A)) & v9_vectsp_1(C,k9_int_3(A)) & v10_vectsp_1(C,k9_int_3(A)) & v11_vectsp_1(C,k9_int_3(A)) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,k9_int_3(A)) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ~ ( C = k12_zmodul02(A,B) & ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => D != k13_zmodul02(A,B,E) ) ) ) ) ) ) )).
fof(t22_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,A) ) => ! [E] : ( ( v1_zmodul01(E) & m1_zmodul01(E,A) ) => ( ( D = k4_zmodul01(B) & E = k4_zmodul01(C) ) => k6_zmodul01(A,D,E) = k6_zmodul01(A,B,C) ) ) ) ) ) ) )).
fof(t22_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => m1_subset_1(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),k1_zfmisc_1(u1_struct_0(k4_zmodul05(A,B,C)))) ) ) ) ) )).
fof(t22_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => k33_zmodul02(A,k6_domain_1(u1_struct_0(A),k4_struct_0(A))) = k3_zmodul01(A) ) )).
fof(t230_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( k27_member_1(A,C) = k27_member_1(B,C) => ( C = k5_numbers | A = B ) ) ) ) ) )).
fof(t230_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k6_xcmplx_0(k6_xcmplx_0(A,B),A) = k4_xcmplx_0(B) ) ) )).
fof(t230_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,C) ) => r1_xxreal_0(k6_xcmplx_0(B,A),C) ) ) ) ) )).
fof(t230_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => k4_xxreal_1(A,k1_xxreal_0) = a_1_1_xxreal_1(A) ) )).
fof(t231_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k27_member_1(k3_xboole_0(A,B),C) = k3_xboole_0(k27_member_1(A,C),k27_member_1(B,C)) ) ) ) ) )).
fof(t231_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(A),B),A) = k4_xcmplx_0(B) ) ) )).
fof(t231_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k6_xcmplx_0(B,A)) ) ) ) ) )).
fof(t231_xxreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => k3_xxreal_1(k2_xxreal_0,A) = a_1_2_xxreal_1(A) ) )).
fof(t232_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k27_member_1(k6_subset_1(A,B),C) = k6_subset_1(k27_member_1(A,C),k27_member_1(B,C)) ) ) ) ) )).
fof(t232_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( B != k5_numbers & ! [C] : ( v1_xcmplx_0(C) => A != k7_xcmplx_0(B,C) ) ) ) ) )).
fof(t232_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => k1_xreal_0(A,A) = k5_numbers ) )).
fof(t232_xxreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => k2_xxreal_1(A,k1_xxreal_0) = a_1_3_xxreal_1(A) ) )).
fof(t233_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => ( C != k5_numbers => k27_member_1(k5_xboole_0(A,B),C) = k5_xboole_0(k27_member_1(A,C),k27_member_1(B,C)) ) ) ) ) )).
fof(t233_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => k7_xcmplx_0(A,k3_xcmplx_0(k3_xcmplx_0(B,C),k7_xcmplx_0(D,E))) = k3_xcmplx_0(k7_xcmplx_0(E,C),k7_xcmplx_0(A,k3_xcmplx_0(B,D))) ) ) ) ) ) )).
fof(t233_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(B,A) => k1_xreal_0(A,B) = k6_xcmplx_0(A,B) ) ) ) )).
fof(t233_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k4_xxreal_1(k2_xxreal_0,A)) <=> ~ r1_xxreal_0(A,B) ) ) ) )).
fof(t234_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k27_member_1(k9_member_1(A,B),C) = k9_member_1(k27_member_1(A,C),k27_member_1(B,C)) ) ) ) )).
fof(t234_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(k6_xcmplx_0(D,C),B),A),C) = k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(1,k7_xcmplx_0(A,B)),C),k3_xcmplx_0(k7_xcmplx_0(A,B),D)) ) ) ) ) )).
fof(t234_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(C,B) & k1_xreal_0(A,C) = k1_xreal_0(B,C) ) => A = B ) ) ) ) )).
fof(t234_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k3_xxreal_1(k2_xxreal_0,A)) <=> r1_xxreal_0(B,A) ) ) ) )).
fof(t235_member_1,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( v1_membered(B) => ! [C] : ( v1_xcmplx_0(C) => k27_member_1(k11_member_1(A,B),C) = k11_member_1(k27_member_1(A,C),k27_member_1(B,C)) ) ) ) )).
fof(t235_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( A != k5_numbers => k2_xcmplx_0(k3_xcmplx_0(A,B),C) = k3_xcmplx_0(A,k2_xcmplx_0(B,k7_xcmplx_0(C,A))) ) ) ) ) )).
fof(t235_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(B,A) => k2_xcmplx_0(k1_xreal_0(A,B),B) = A ) ) ) )).
fof(t235_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k4_xxreal_1(A,k1_xxreal_0)) <=> ~ r1_xxreal_0(B,A) ) ) ) )).
fof(t236_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( r1_xxreal_0(A,B) & ~ r1_xxreal_0(A,C) & r1_xxreal_0(k1_xreal_0(B,C),k1_xreal_0(B,A)) ) ) ) ) )).
fof(t236_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,k2_xxreal_1(A,k1_xxreal_0)) <=> r1_xxreal_0(A,B) ) ) ) )).
fof(t237_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_xreal_0(A,1)) ) ) )).
fof(t237_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k1_xxreal_1(B,C),k1_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t238_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k2_xxreal_1(B,C),k1_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t239_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k3_xxreal_1(B,C),k1_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t23_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r3_orders_2(A,D,B) & r2_tarski(C,k2_abcmiz_0(A,D)) ) => ( r1_abcmiz_0(A,B,C) & r3_orders_2(A,D,k5_abcmiz_0(A,B,C)) ) ) ) ) ) ) )).
fof(t23_abcmiz_1,axiom,( r1_tarski(k2_abcmiz_1,k4_classes1(k4_ordinal1)) )).
fof(t23_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( m1_abcmiz_1(B,A,k14_abcmiz_1(A)) <=> ( ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B,k1_xboole_0))) = k8_abcmiz_1 ) | r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k2_abcmiz_1) ) ) ) ) )).
fof(t23_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r4_absred_0(A,B,C) & r1_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t23_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => r1_xxreal_0(k6_xcmplx_0(k2_xcmplx_0(k1_absvalue(A),k1_absvalue(B)),1),k1_absvalue(k2_xcmplx_0(A,B))) ) ) )).
fof(t23_aescip_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & v3_funct_2(A,k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(8,k5_margrel1),k4_finseq_2(8,k5_margrel1)))) ) => ( v2_funct_1(k4_aescip_1(A)) & v2_funct_2(k4_aescip_1(A),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v2_funct_1(k5_aescip_1(A)) & v2_funct_2(k5_aescip_1(A),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & k5_aescip_1(A) = k2_funct_1(k4_aescip_1(A)) & k4_aescip_1(A) = k2_funct_1(k5_aescip_1(A)) ) ) )).
fof(t23_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(D,A) & r2_tarski(B,D) ) => ( r2_tarski(C,D) <=> r2_aff_1(A,B,C,D) ) ) ) ) ) ) )).
fof(t23_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_4(E,A) & r2_tarski(B,E) & r1_tarski(C,E) & r2_tarski(B,D) ) => ( ( ~ r5_aff_1(A,C,D) & ~ r5_aff_1(A,D,C) ) | r1_tarski(D,E) ) ) ) ) ) ) ) )).
fof(t23_afinsq_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( r2_tarski(A,k2_afinsq_1(C)) => r2_tarski(k2_xcmplx_0(k1_afinsq_1(B),A),k2_afinsq_1(k1_ordinal4(B,C))) ) ) ) ) )).
fof(t23_afinsq_2,axiom,( ! [A] : ! [B] : ( r1_afinsq_2(A,B) => k3_xboole_0(k3_xboole_0(A,B),k4_ordinal1) = k1_xboole_0 ) )).
fof(t23_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(k13_afproj(A))) <=> ~ ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ~ ( B = k4_tarski(C,1) & v1_aff_1(C,A) ) & ~ ( B = k4_tarski(k6_afproj(A,C),2) & v1_aff_4(C,A) ) ) ) ) ) )).
fof(t23_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_afvect0(A,B,C,D) & r1_afvect0(A,C,E) ) => r2_afvect0(A,B,E,D) ) ) ) ) ) ) )).
fof(t23_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_algspec1(B,A) => r1_tarski(k10_xtuple_0(B),k9_xtuple_0(A)) ) ) )).
fof(t23_algstr_4,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ( r1_tarski(A,B) => r1_tarski(k11_algstr_4(A,C),k11_algstr_4(B,C)) ) ) )).
fof(t23_altcat_1,axiom,( v14_altcat_1(k7_altcat_1(k1_tarski(k5_numbers))) & v13_struct_0(k7_altcat_1(k1_tarski(k5_numbers)),1) )).
fof(t23_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_altcat_2(A,B))) => C = B ) ) ) )).
fof(t23_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,C,D)) => ( v2_altcat_3(k5_altcat_1(A,B,C,D,E,F),A,B,D) => ( k1_altcat_1(A,B,C) = k1_xboole_0 | k1_altcat_1(A,C,D) = k1_xboole_0 | k1_altcat_1(A,D,B) = k1_xboole_0 | v2_altcat_3(E,A,B,C) ) ) ) ) ) ) ) ) )).
fof(t23_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v16_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => ( v2_altcat_3(F,A,D,E) => ( k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | v1_altcat_3(k8_functor0(A,B,C,D,E,F),B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D)) ) ) ) ) ) ) ) ) )).
fof(t23_ami_2,axiom,( ! [A] : ~ ( r2_tarski(A,k2_ami_2) & ! [B] : ( v7_ordinal1(B) => A != k4_tarski(1,B) ) ) )).
fof(t23_ami_3,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ~ v2_extpro_1(k9_ami_3(B,A),k5_card_1(2),k1_ami_3) ) ) )).
fof(t23_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k8_ami_3(I,H) ) => ( I = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)),1) | ( k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H) = k5_numbers <=> k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H) = k5_numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_ami_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k8_compos_0(u1_compos_1(k1_ami_3),k7_ami_3(A),B) = k7_ami_3(k2_xcmplx_0(A,B)) ) ) )).
fof(t23_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_finset_1(C) ) => ( ( v5_amistd_1(C,A,B) & r2_tarski(k1_ami_wstd(A,B,k5_numbers),k1_relset_1(k4_ordinal1,C)) ) => v4_ami_wstd(C,A,B) ) ) ) ) )).
fof(t23_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analmetr(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analmetr(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_analmetr(A,B,C))) => ( r4_analmetr(k2_analmetr(A,B,C),D,F,E,G) => r4_analmetr(k2_analmetr(A,B,C),E,G,D,F) ) ) ) ) ) ) ) ) )).
fof(t23_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) => ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analoaf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analoaf(A))) => B = C ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analoaf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analoaf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analoaf(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analoaf(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analoaf(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_analoaf(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_analoaf(A))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_analoaf(A))) => ( r2_analoaf(k2_analoaf(A),B,C,D,D) & ( r2_analoaf(k2_analoaf(A),B,C,C,B) => B = C ) & ( ( r2_analoaf(k2_analoaf(A),B,C,F,G) & r2_analoaf(k2_analoaf(A),B,C,H,I) ) => ( B = C | r2_analoaf(k2_analoaf(A),F,G,H,I) ) ) & ( r2_analoaf(k2_analoaf(A),B,C,D,E) => r2_analoaf(k2_analoaf(A),C,B,E,D) ) & ( r2_analoaf(k2_analoaf(A),B,C,C,D) => r2_analoaf(k2_analoaf(A),B,C,B,D) ) & ~ ( r2_analoaf(k2_analoaf(A),B,C,B,D) & ~ r2_analoaf(k2_analoaf(A),B,C,C,D) & ~ r2_analoaf(k2_analoaf(A),B,D,D,C) ) ) ) ) ) ) ) ) ) ) & ? [B] : ( m1_subset_1(B,u1_struct_0(k2_analoaf(A))) & ? [C] : ( m1_subset_1(C,u1_struct_0(k2_analoaf(A))) & ? [D] : ( m1_subset_1(D,u1_struct_0(k2_analoaf(A))) & ? [E] : ( m1_subset_1(E,u1_struct_0(k2_analoaf(A))) & ~ r2_analoaf(k2_analoaf(A),B,C,D,E) & ~ r2_analoaf(k2_analoaf(A),B,C,E,D) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analoaf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analoaf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analoaf(A))) => ? [E] : ( m1_subset_1(E,u1_struct_0(k2_analoaf(A))) & r2_analoaf(k2_analoaf(A),B,C,D,E) & r2_analoaf(k2_analoaf(A),B,D,C,E) & C != E ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analoaf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analoaf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analoaf(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analoaf(A))) => ~ ( B != D & r2_analoaf(k2_analoaf(A),D,B,B,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analoaf(A))) => ~ ( r2_analoaf(k2_analoaf(A),C,B,B,F) & r2_analoaf(k2_analoaf(A),C,D,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => r2_analort(A,E,F,B,C,D,D) ) ) ) ) ) ) )).
fof(t23_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( u1_struct_0(k5_anproj_1(A)) = k3_anproj_1(A) & u1_collsp(k5_anproj_1(A)) = k4_anproj_1(A) ) ) )).
fof(t23_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_anproj_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_anproj_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_anproj_1(A))) => ( r1_collsp(k5_anproj_1(A),B,C,D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & ? [G] : ( m1_subset_1(G,u1_struct_0(A)) & B = k2_anproj_1(A,E) & C = k2_anproj_1(A,F) & D = k2_anproj_1(A,G) & ~ v9_struct_0(E,A) & ~ v9_struct_0(F,A) & ~ v9_struct_0(G,A) & r2_anproj_1(A,E,F,G) ) ) ) ) ) ) ) ) )).
fof(t23_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( r2_tarski(D,k9_aofa_000(A,B,k1_nat_1(C,1))) <=> ~ ( ~ r2_tarski(D,B) & ! [E] : ( m2_subset_1(E,k4_ordinal1,k4_finseq_1(u1_unialg_1(A))) => ! [F] : ( m2_finseq_2(F,u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) => ~ ( D = k1_funct_1(k2_pua2mss1(A,E),F) & r2_tarski(F,k1_relset_1(k3_finseq_2(u1_struct_0(A)),k2_pua2mss1(A,E))) & r1_tarski(k2_relset_1(u1_struct_0(A),F),k9_aofa_000(A,B,C)) ) ) ) ) ) ) ) ) )).
fof(t23_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : k10_xtuple_0(k6_aofa_a00(A,B,C,D,E,F,G)) = k5_enumset1(A,B,C,D,E,F,G) )).
fof(t23_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( k1_msualg_1(A,D) = k2_finseq_4(u1_struct_0(A),B,C) => ! [E] : ( l3_msualg_1(E,A) => k3_msualg_1(A,D,E) = k4_card_3(k2_finseq_4(k10_xtuple_0(u3_msualg_1(A,E)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,E),B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,E),C))) ) ) ) ) ) ) )).
fof(t23_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [D] : ( ( v1_aofa_i00(D,A,B,C) & m1_aofa_000(D,A,k9_funct_2(B,k4_numbers),C) ) => ! [E] : ( m2_aofa_i00(E,A,B,C,D) => ! [F] : ( m3_aofa_i00(F,A,B,C,D) => r2_tarski(k44_aofa_i00(A,B,C,D,E,F),k18_aofa_000(A)) ) ) ) ) ) ) )).
fof(t23_aofa_l00,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v11_struct_0(B) & v1_instalg1(B) & v2_aofa_l00(B,A) & l1_msualg_1(B) ) => ! [C] : ( l3_msualg_1(C,B) => ! [D] : ( l3_msualg_1(D,B) => ( g3_msualg_1(B,u3_msualg_1(B,C),u4_msualg_1(B,C)) = g3_msualg_1(B,u3_msualg_1(B,D),u4_msualg_1(B,D)) => k2_instalg1(B,A,C) = k2_instalg1(B,A,D) ) ) ) ) ) )).
fof(t23_armstrng,axiom,( ! [A] : ( l1_armstrng(A) => v6_armstrng(k5_armstrng(A),u1_armstrng(A)) ) )).
fof(t23_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => k1_arytm_0(A,k1_arytm_0(B,C)) = k1_arytm_0(k1_arytm_0(A,B),C) ) ) ) )).
fof(t23_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ~ ( ~ r1_arytm_2(B,A) & ~ r1_arytm_2(B,C) & k2_arytm_1(A,k1_arytm_1(B,C)) != k2_arytm_1(C,k1_arytm_1(B,A)) ) ) ) ) )).
fof(t23_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ( r1_arytm_3(A,B) => k4_arytm_3(A,B) = A ) ) ) )).
fof(t23_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) & k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) = k5_numbers ) => ( r2_tarski(B,k7_asympt_0(A)) & ~ r2_tarski(A,k7_asympt_0(B)) ) ) ) ) )).
fof(t23_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => ( ~ r1_xxreal_0(B,1) => k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(k5_series_1(B,2),k3_power(2,B)) ) ) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r2_funct_2(k4_ordinal1,k1_numbers,B,A) & r1_tarski(k6_asympt_0(B),k6_asympt_0(k3_asympt_1(8))) & k6_asympt_0(B) != k6_asympt_0(k3_asympt_1(8)) ) ) ) ) )).
fof(t23_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => r1_tarski(k5_autalg_1(A,B),k4_autalg_1(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B))) ) ) )).
fof(t23_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k1_group_1(A)),B) = B ) ) )).
fof(t23_bagorder,axiom,( ! [A] : ( ( v3_ordinal1(A) & ~ v1_finset_1(A) ) => ~ v2_wellord1(k17_pre_poly(A)) ) )).
fof(t23_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ( v1_ballot_1(E,C,A,D,B) => k1_funct_1(E,1) = C ) ) ) ) )).
fof(t23_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => r2_tarski(k4_struct_0(A),k5_bcialg_1(A)) ) )).
fof(t23_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v10_bcialg_1(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,B,C) = k1_bcialg_1(A,k2_bcialg_1(A,C),k2_bcialg_1(A,B)) ) ) ) ) )).
fof(t23_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v6_bcialg_3(A) & l2_bcialg_1(A) ) => ( v7_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_bcialg_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,C,k1_bcialg_1(A,B,D)) = k1_bcialg_1(A,D,k1_bcialg_1(A,B,C)) ) ) ) ) ) ) )).
fof(t23_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_bcialg_4(A,B,2) = k1_bcialg_4(A,B,B) ) ) )).
fof(t23_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( k2_bcialg_5(A,B,C,D) != A & k2_bcialg_5(A,B,C,D) != B & k2_bcialg_5(A,B,C,D) != C & k2_bcialg_5(A,B,C,D) != D ) ) ) ) ) )).
fof(t23_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k2_bcialg_6(A,k2_bcialg_6(A,B,C),D) = k2_bcialg_6(A,B,k3_xcmplx_0(C,D)) ) ) ) ) )).
fof(t23_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( v3_bciideal(k4_bcialg_1(A),A) & m2_bcialg_1(k4_bcialg_1(A),A) ) ) )).
fof(t23_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_bhsp_1(A,B,k4_struct_0(A)) ) ) )).
fof(t23_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(C,A) & k1_bhsp_2(A,C) = B ) => v2_comseq_2(k3_bhsp_2(A,C,B)) ) ) ) ) )).
fof(t23_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ? [D] : ( v1_xreal_0(D) & ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,C) & r1_xxreal_0(D,k3_bhsp_1(A,k8_nat_1(u1_struct_0(A),B,E))) ) ) ) ) ) ) )).
fof(t23_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v3_bhsp_3(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_4(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k3_bhsp_1(A,k5_algstr_0(A,k3_bhsp_4(A,B,E),k3_bhsp_4(A,B,F)))) ) ) ) ) ) ) ) ) )).
fof(t23_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => r2_funct_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)),u1_struct_0(A),k9_bilinear(A,B,C,k7_hahnban1(A,B),D),k1_bilinear(A,B,C)) ) ) ) ) )).
fof(t23_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ! [C] : ( ( v3_card_1(C,A) & m2_finseq_1(C,k5_margrel1) ) => ( C = k5_euclid(A) => ( k8_binarith(A,B,k1_binari_2(A)) = k7_margrel1 <=> B = k3_binarith(A,C) ) ) ) ) ) )).
fof(t23_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k1_binari_4(A,1) = A ) ) )).
fof(t23_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k7_binom(A,B,C,D),1) = k2_binom(A,B,D) ) ) ) ) )).
fof(t23_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => k1_funct_1(k2_bintree2(A,1),2) = k10_binarith(k4_ordinal1,1) ) )).
fof(t23_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r3_lattices(A,B,C) & r3_lattices(A,D,E) ) => r3_lattices(A,k1_boolealg(A,B,E),k1_boolealg(A,C,D)) ) ) ) ) ) ) )).
fof(t23_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ~ ( v1_finset_1(C) & r1_tarski(C,k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),D)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))))) => ~ ( r1_tarski(E,D) & v1_finset_1(E) & C = k7_relset_1(k9_setfam_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),E) ) ) ) ) ) ) ) )).
fof(t23_borsuk_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( v2_compts_1(C,A) & v2_compts_1(D,B) ) => ( v2_compts_1(k3_borsuk_1(A,B,C,D),k2_borsuk_1(A,B)) & m1_subset_1(k3_borsuk_1(A,B,C,D),k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B)))) ) ) ) ) ) ) )).
fof(t23_borsuk_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ( C = k1_rcomp_1(A,B) => v4_pre_topc(C,k5_topmetr) ) ) ) ) )).
fof(t23_borsuk_5,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( ( v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ ( A != k5_numbers & v1_rat_1(k7_xcmplx_0(B,A)) ) ) ) )).
fof(t23_borsuk_6,axiom,( v4_pre_topc(a_0_11_borsuk_6,k2_borsuk_1(k3_topmetr,k3_topmetr)) & m1_subset_1(a_0_11_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k3_topmetr,k3_topmetr)))) )).
fof(t23_bspace,axiom,( ! [A] : v4_rlvect_1(k7_bspace(A)) )).
fof(t23_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k6_bvfunc_2(A,k7_bvfunc_2(A,B,C,D),C,E)) ) ) ) ) ) )).
fof(t23_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_eqrel_1(G,A) => ( B = k3_enumset1(C,D,E,F,G) => ( C = E | D = E | E = F | E = G | k5_bvfunc_2(A,E,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,C,D),F),G) ) ) ) ) ) ) ) ) ) )).
fof(t23_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,B,k9_bvfunc_1(A,B,C)),k12_bvfunc_1(A)) ) ) ) )).
fof(t23_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k13_bvfunc_1(A,k2_bvfunc_1(A,B,C)),k2_bvfunc_1(A,k13_bvfunc_1(A,B),k13_bvfunc_1(A,C))) & r2_funct_2(A,k5_margrel1,k14_bvfunc_1(A,k5_bvfunc_1(A,B,C)),k5_bvfunc_1(A,k14_bvfunc_1(A,B),k14_bvfunc_1(A,C))) ) ) ) ) )).
fof(t23_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r2_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k5_bvfunc_1(A,C,D),B,E),k5_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),D)) ) ) ) ) ) ) )).
fof(t23_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E)),k7_bvfunc_2(A,k9_bvfunc_1(A,C,D),B,E)) ) ) ) ) ) )).
fof(t23_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k10_bvfunc_1(A,B,C),D,E),k10_bvfunc_1(A,k6_bvfunc_2(A,B,D,E),k6_bvfunc_2(A,C,D,E))) ) ) ) ) ) )).
fof(t23_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,k9_bvfunc_1(A,C,B)),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,C,k9_bvfunc_1(A,D,B)),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t23_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k2_bvfunc_1(A,B,k1_bvfunc_1(A,C)),k1_bvfunc_1(A,B)),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,C),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t23_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_c0sp1(A))) => k1_binop_1(k5_c0sp1(k12_funcsdom(A),k6_c0sp1(A)),1,B) = B ) ) )).
fof(t23_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => r1_tarski(k13_pre_poly(k3_valued_1(u1_struct_0(A),k1_numbers,k1_numbers,B,C)),k2_xboole_0(k13_pre_poly(B),k13_pre_poly(C))) ) ) ) )).
fof(t23_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_valuat_1(D,A,C) => ! [E] : ( m2_funct_2(E,k3_qc_lang1(A),C,k2_valuat_1(A,C)) => ! [F] : ( m1_subset_1(F,k1_substut1(A)) => ( r1_sublemma(A,k2_substut2(A,B,F),C,E,D) <=> r1_valuat_1(A,C,B,D,E) ) ) ) ) ) ) ) )).
fof(t23_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),k7_cqc_lang(A,B,C)))) => r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),C))) ) ) ) ) ) )).
fof(t23_card_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r1_ordinal1(A,B) <=> r1_ordinal1(k3_card_1(A),k3_card_1(B)) ) ) ) )).
fof(t23_card_2,axiom,( ! [A] : ( v1_card_1(A) => k2_card_2(2,A) = k1_card_2(A,A) ) )).
fof(t23_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,B) => r1_tarski(k2_card_3(A),k2_card_3(B)) ) ) ) )).
fof(t23_card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ v1_finset_1(A) & B != k5_numbers & ~ ( r2_wellord2(k4_finseq_2(B,A),A) & k1_card_1(k4_finseq_2(B,A)) = k1_card_1(A) ) ) ) ) )).
fof(t23_card_5,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => k1_card_5(k2_card_1(A)) = k2_card_1(A) ) )).
fof(t23_card_fil,axiom,( ! [A] : ( ~ v1_finset_1(A) => ! [B] : ( m1_card_fil(B,A) => ( ( v3_card_fil(B,A) & r1_card_fil(A,k1_card_1(A),B) ) => ( v2_card_fil(B,A) | v1_card_fil(B,A) ) ) ) ) )).
fof(t23_card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( v1_xboole_0(B) | v1_xboole_0(k3_tarski(k10_xtuple_0(B))) ) => k2_card_fin(B,C,A) = k3_tarski(k10_xtuple_0(B)) ) ) ) )).
fof(t23_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ( r2_tarski(k4_ordinal1,k1_card_5(A)) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( r2_tarski(k1_card_1(B),k1_card_5(A)) & ! [C] : ( m1_card_lar(C,A,B) => ( v2_card_lar(C,A) & v1_card_lar(C,A) ) ) ) => ( v2_card_lar(k6_setfam_1(A,B),A) & v1_card_lar(k6_setfam_1(A,B),A) ) ) ) ) ) )).
fof(t23_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & ~ r2_tarski(k1_cat_1(A,E,F),k2_cat_1(A,B,D)) ) ) ) ) ) ) ) )).
fof(t23_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ( u1_struct_0(k6_cat_2(A,B)) = k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)) & u4_struct_0(k6_cat_2(A,B)) = k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)) & r1_funct_2(u4_struct_0(k6_cat_2(A,B)),u1_struct_0(k6_cat_2(A,B)),k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_graph_1(k6_cat_2(A,B)),k16_funct_3(u4_struct_0(A),u4_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_graph_1(A),u1_graph_1(B))) & r1_funct_2(u4_struct_0(k6_cat_2(A,B)),u1_struct_0(k6_cat_2(A,B)),k2_zfmisc_1(u4_struct_0(A),u4_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u2_graph_1(k6_cat_2(A,B)),k16_funct_3(u4_struct_0(A),u4_struct_0(B),u1_struct_0(A),u1_struct_0(B),u2_graph_1(A),u2_graph_1(B))) & u1_cat_1(k6_cat_2(A,B)) = k8_funct_4(u4_struct_0(A),u4_struct_0(B),u1_cat_1(A),u1_cat_1(B)) ) ) ) )).
fof(t23_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v2_cat_3(D,A,B,C) => v7_cat_1(D,A,B,C) ) ) ) ) ) )).
fof(t23_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k2_cat_1(A,D,B) != k1_xboole_0 & k2_cat_1(A,D,C) != k1_xboole_0 & k2_cat_1(A,D,k2_cat_4(A,B,C)) = k1_xboole_0 ) ) ) ) ) )).
fof(t23_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_tarski(C,k9_cat_5(A,B)) <=> k4_graph_1(A,C) = B ) ) ) ) )).
fof(t23_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k6_cat_6(A)) => ( B = D => ( ( r1_cat_6(A,B,C) => k2_cat_6(A,B,C) = C ) & ( r1_cat_6(A,C,B) => k2_cat_6(A,C,B) = C ) & r1_cat_6(A,B,B) ) ) ) ) ) ) )).
fof(t23_cat_7,axiom,( ! [A] : ( ( v8_cat_6(A) & v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k6_cat_6(A)) => ! [E] : ( m1_subset_1(E,k6_cat_6(A)) => ! [F] : ( m1_cat_7(F,A,B,C) => ! [G] : ( m1_cat_7(G,A,C,D) => ! [H] : ( m1_cat_7(H,A,D,E) => ~ ( k1_cat_7(A,B,C) != k1_xboole_0 & k1_cat_7(A,C,D) != k1_xboole_0 & k1_cat_7(A,D,E) != k1_xboole_0 & k4_cat_7(A,B,D,E,k4_cat_7(A,B,C,D,F,G),H) != k4_cat_7(A,B,C,E,F,k4_cat_7(A,C,D,E,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(t23_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => k2_catalan2(A,k5_numbers) = k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1)),k8_funcop_1(k4_ordinal1,A,k5_numbers)) ) )).
fof(t23_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k3_funct_2(u4_struct_0(k3_catalg_1(u1_struct_0(A))),u4_struct_0(k3_catalg_1(u1_struct_0(B))),k12_catalg_1(A,B,C),k10_catalg_1(u1_struct_0(A),D,E,F)) = k10_catalg_1(u1_struct_0(B),k8_cat_1(A,B,C,D),k8_cat_1(A,B,C,E),k8_cat_1(A,B,C,F)) ) ) ) ) ) ) )).
fof(t23_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v3_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) => ( v3_algstr_0(B,A) & v3_algstr_0(C,A) ) ) ) ) ) )).
fof(t23_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_cc0sp1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_cc0sp1(A))) => ( ( C = E & D = F ) => ( F = k1_clvect_1(k7_cc0sp1(A),E,B) <=> ! [G] : ( m1_subset_1(G,A) => k3_funct_2(A,k2_numbers,D,G) = k3_xcmplx_0(B,k3_funct_2(A,k2_numbers,C,G)) ) ) ) ) ) ) ) ) ) )).
fof(t23_cc0sp2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_compts_1(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_cc0sp2(B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_cc0sp2(B))) => ( ( C = E & D = F ) => ( F = k1_clvect_1(k5_cc0sp2(B),E,A) <=> ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => k3_funct_2(u1_struct_0(B),k2_numbers,D,G) = k3_xcmplx_0(A,k3_funct_2(u1_struct_0(B),k2_numbers,C,G)) ) ) ) ) ) ) ) ) ) )).
fof(t23_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [C] : ( v1_xcmplx_0(C) => ( ( r1_cfdiff_1(A,C) & r1_cfdiff_1(B,C) ) => ( r1_cfdiff_1(k2_valued_1(k2_numbers,k2_numbers,k2_numbers,A,B),C) & k2_cfdiff_1(k2_valued_1(k2_numbers,k2_numbers,k2_numbers,A,B),C) = k2_xcmplx_0(k2_cfdiff_1(A,C),k2_cfdiff_1(B,C)) ) ) ) ) ) )).
fof(t23_cfuncdom,axiom,( ? [A] : ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_clvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ( k3_rlvect_1(A,k1_clvect_1(A,B,D),k1_clvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( v1_xcmplx_0(E) & ? [F] : ( v1_xcmplx_0(F) & D = k3_rlvect_1(A,k1_clvect_1(A,B,E),k1_clvect_1(A,C,F)) ) ) ) ) ) ) )).
fof(t23_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( v1_xcmplx_0(D) => r2_relset_1(A,k2_numbers,k25_valued_1(A,k2_numbers,k46_valued_1(A,k2_numbers,k2_numbers,B,C),D),k46_valued_1(A,k2_numbers,k2_numbers,k25_valued_1(A,k2_numbers,B,D),k25_valued_1(A,k2_numbers,C,D))) ) ) ) ) )).
fof(t23_cgames_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_1(B) & v3_cgames_1(B) & v4_cgames_1(B) ) => ( r2_tarski(k1_funct_1(B,k3_finseq_1(B)),k2_cgames_1(A)) => r2_tarski(k1_funct_1(B,1),k2_cgames_1(A)) ) ) ) )).
fof(t23_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r2_tarski(D,k3_chain_1(A,B,C)) <=> ~ ( ~ ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(D,E)) & r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(C,E)) ) ) & ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => ~ ( ~ r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) & ( r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(C,E)) | r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(D,E)) ) ) ) ) ) ) ) ) ) )).
fof(t23_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) ) => ! [C] : ( m2_glib_000(C,A,B,k21_glib_000(A,B)) => ! [D] : ( m3_glib_001(D,A) => ( r1_tarski(k13_glib_001(A,D),B) => m3_glib_001(D,C) ) ) ) ) ) )).
fof(t23_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & r1_xboole_0(k2_msafree2(B),k3_msafree2(A)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( m1_subset_1(H,k4_card_3(u3_msualg_1(C,F))) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(A,D))) => ( I = k5_relat_1(H,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,k4_card_3(u3_msualg_1(B,E))) => ~ ( J = k5_relat_1(H,u1_struct_0(B)) & ~ ( v1_circuit2(k5_facirc_1(A,D,I,G),A,D) & v1_circuit2(k5_facirc_1(B,E,J,G),B,E) ) & v1_circuit2(k5_facirc_1(C,F,H,G),C,F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => m1_subset_1(C,u1_struct_0(k2_circcomb(A,B))) ) ) ) )).
fof(t23_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_msualg_1(C) ) => ! [D] : ( ( v4_msualg_1(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & l3_msualg_1(F,C) ) => ( ( r1_partfun1(u3_msualg_1(A,D),u3_msualg_1(B,E)) & r1_partfun1(u3_msualg_1(B,E),u3_msualg_1(C,F)) & r1_partfun1(u3_msualg_1(C,F),u3_msualg_1(A,D)) ) => k3_circcomb(k2_circcomb(A,B),C,k3_circcomb(A,B,D,E),F) = k3_circcomb(A,k2_circcomb(B,C),D,k3_circcomb(B,C,E,F)) ) ) ) ) ) ) ) )).
fof(t23_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rlvect_2(D,A) => ( ( v1_circled1(D,A) & k3_rlvect_2(A,D) = k7_domain_1(u1_struct_0(A),B,C) ) => ( B = C | ( k3_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,D,B),k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) = 1 & r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k1_numbers,D,B)) & r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) & k6_rlvect_2(A,D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_funct_2(u1_struct_0(A),k1_numbers,D,B)),k1_rlvect_1(A,C,k3_funct_2(u1_struct_0(A),k1_numbers,D,C))) ) ) ) ) ) ) ) )).
fof(t23_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r1_circtrm1(A,B,C,D) => ( u1_struct_0(B) = k7_relat_1(C,u1_struct_0(A)) & u4_struct_0(B) = k7_relat_1(D,u4_struct_0(A)) ) ) ) ) ) ) )).
fof(t23_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => k4_struct_0(k2_ckspace1(A,B,C)) = k8_funcop_1(k4_ordinal1,C,k5_numbers) ) ) ) )).
fof(t23_classes1,axiom,( ! [A] : ( v1_ordinal1(A) => v1_ordinal1(k1_classes1(A)) ) )).
fof(t23_classes2,axiom,( ! [A] : ! [B] : ( ~ ( ~ ( r2_tarski(A,k1_classes1(B)) & v1_ordinal1(B) ) & ~ ( r2_tarski(A,k1_classes1(B)) & r1_tarski(A,k1_classes1(B)) ) & ~ ( r2_tarski(k1_card_1(A),k1_card_1(k1_classes1(B))) & r1_tarski(A,k1_classes1(B)) ) ) => r1_tarski(k9_funct_2(A,k1_classes1(B)),k1_classes1(B)) ) )).
fof(t23_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_clopban1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_clopban1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_clopban1(A,B))) => ( E = k3_rlvect_1(k9_clopban1(A,B),C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k10_clopban1(A,B,E,F) = k3_rlvect_1(B,k10_clopban1(A,B,C,F),k10_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t23_clopban2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => k5_struct_0(k9_clopban2(A)) = k6_clopban2(A) ) )).
fof(t23_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_seq_2(k3_series_1(k5_normsp_0(A,B))) <=> v2_clopban3(B,A) ) ) ) )).
fof(t23_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,k1_clopban4(A,C),D) = k1_normsp_0(A,k3_clopban4(D,A,C,B),D) ) ) ) ) )).
fof(t23_closure1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m2_pboole(C,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ! [D] : ( m2_pboole(D,A,k5_mssubfam(A,B),k5_mssubfam(A,B)) => ( ( v4_closure1(C,A,B) & v4_closure1(D,A,B) ) => v4_closure1(k3_closure1(A,B,D,C),A,B) ) ) ) ) )).
fof(t23_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ! [D] : ( m1_closure2(D,A,B,k2_closure2(A,B)) => ! [E] : ( m1_closure2(E,A,B,k2_closure2(A,B)) => ( C = k2_tarski(D,E) => r6_pboole(A,k4_mssubfam(A,B,k5_closure2(A,B,C)),k3_pboole(A,D,E)) ) ) ) ) ) )).
fof(t23_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => v6_clvect_1(k6_domain_1(u1_struct_0(A),k4_struct_0(A)),A) ) )).
fof(t23_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(C,A) & k1_clvect_2(A,C) = B ) => v2_comseq_2(k3_clvect_2(A,C,B)) ) ) ) ) )).
fof(t23_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & v4_clvect_2(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k11_csspace(A,k5_algstr_0(A,k2_clvect_3(A,B,E),k2_clvect_3(A,B,F)))) ) ) ) ) ) ) ) ) )).
fof(t23_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ! [C] : ( m1_subset_1(C,k5_coh_sp(A)) => ! [D] : ( m1_subset_1(D,k5_coh_sp(A)) => ( ( k6_coh_sp(A,C) = k7_coh_sp(A,B) & k6_coh_sp(A,D) = k7_coh_sp(A,C) ) => k9_coh_sp(A,k9_coh_sp(A,B,C),D) = k9_coh_sp(A,B,k9_coh_sp(A,C,D)) ) ) ) ) )).
fof(t23_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( ( v1_classes1(k9_xtuple_0(A)) & v3_cohsp_1(k9_xtuple_0(A)) ) => ( v10_cohsp_1(A) <=> ( v6_cohsp_1(A) & ! [B] : ! [C] : ~ ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k1_funct_1(A,B)) & ! [D] : ~ ( r2_tarski(D,B) & r2_tarski(C,k1_funct_1(A,k1_tarski(D))) & ! [E] : ( ( r1_tarski(E,B) & r2_tarski(C,k1_funct_1(A,E)) ) => r2_tarski(D,E) ) ) ) ) ) ) ) )).
fof(t23_combgras,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ~ v1_xboole_0(B) => ( ( r1_xxreal_0(2,A) & r1_ordinal1(k1_nat_1(A,2),k1_card_1(B)) ) => ! [C] : ( l1_combgras(C,k1_combgras(A,B),k1_combgras(A,B)) => ( v7_combgras(C,k1_combgras(A,B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(k1_combgras(A,B)))) => ( v3_combgras(D,A,B) => ( v3_combgras(k4_combgras(k1_combgras(A,B),k1_combgras(A,B),C,D),A,B) & v3_combgras(k5_combgras(k1_combgras(A,B),k1_combgras(A,B),C,D),A,B) ) ) ) ) ) ) ) ) )).
fof(t23_compl_sp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( r1_tarski(k2_relset_1(k9_setfam_1(u1_struct_0(A)),C),B) & v2_relat_1(C) & ! [D] : ( ( v2_relat_1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & v5_compl_sp(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ~ ( v2_prob_1(D) & ( ( v1_pcomps_1(B,A) & v2_funct_1(C) ) => k2_kurato_0(u1_struct_0(A),D) = k1_xboole_0 ) & ! [E] : ( v7_ordinal1(E) => ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & k8_nat_1(k9_setfam_1(u1_struct_0(A)),D,E) = k2_pre_topc(A,k5_setfam_1(u1_struct_0(A),F)) & F = a_3_2_compl_sp(A,C,E) ) ) ) ) ) ) ) ) )).
fof(t23_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k3_complex1(A) = k5_numbers => ( k4_complex1(A) = k5_numbers | ( k3_complex1(k5_xcmplx_0(A)) = k5_numbers & k4_complex1(k5_xcmplx_0(A)) = k1_real_1(k2_real_1(k4_complex1(A))) ) ) ) ) )).
fof(t23_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( k4_complex1(A) = k5_numbers <=> ( k1_comptrig(A) = k5_numbers | k1_comptrig(A) = k28_sin_cos ) ) ) )).
fof(t23_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => k12_algstr_0(k1_complfld,A,k5_struct_0(k1_complfld)) = A ) )).
fof(t23_complsp2,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => k1_complsp2(k9_seq_4(A)) = k9_seq_4(k1_complsp2(A)) ) )).
fof(t23_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k1_funct_1(k7_compos_1(A,B,C),k62_valued_1(B)) = k1_funct_1(k5_compos_1(A,C,k7_nat_d(k4_card_1(B),1)),k5_numbers) ) ) ) )).
fof(t23_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => r2_compos_2(B,k8_compos_1(A,B,C)) ) ) ) )).
fof(t23_comptrig,axiom,( v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t23_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_compts_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) <=> ( v2_compts_1(B,g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))) ) ) ) )).
fof(t23_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k31_valued_1(k4_ordinal1,k2_numbers,B)),k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B)) ) ) )).
fof(t23_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( v7_ordinal1(B) => ( r2_funct_2(k4_ordinal1,k1_numbers,k1_valued_0(k1_numbers,k7_comseq_3(A),B),k7_comseq_3(k1_valued_0(k2_numbers,A,B))) & r2_funct_2(k4_ordinal1,k1_numbers,k1_valued_0(k1_numbers,k8_comseq_3(A),B),k8_comseq_3(k1_valued_0(k2_numbers,A,B))) ) ) ) )).
fof(t23_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ( u2_conlat_1(A,k5_conlat_1(A)) = u1_struct_0(A) & u3_conlat_1(A,k6_conlat_1(A)) = u4_struct_0(A) ) ) )).
fof(t23_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( v2_connsp_1(C,A) <=> v2_connsp_1(D,B) ) ) ) ) ) ) )).
fof(t23_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_tarski(B,k1_connsp_2(A,B)) ) ) )).
fof(t23_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => m1_connsp_3(C,A) ) ) => m1_connsp_3(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t23_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ~ ( v2_convex1(B,A) & B = k4_rlvect_2(A) ) ) ) )).
fof(t23_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => r1_convex4(A,k5_convex4(A,B,k2_convex4(A)),B) ) ) )).
fof(t23_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v5_qc_lang1(C,A) => ( k21_qc_lang1(A,C) = B | k13_cqc_lang(A,C,B) = k15_qc_lang1(A,k21_qc_lang1(A,C),k13_cqc_lang(A,k22_qc_lang1(A,C),B)) ) ) ) ) ) )).
fof(t23_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => k13_cqc_sim1(A,k6_cqc_lang(A,B)) = k13_cqc_sim1(A,B) ) ) )).
fof(t23_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_finseq_1(B,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(B)) & ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(k5_numbers,D) & r1_xxreal_0(D,9) & k2_xtuple_0(k1_funct_1(B,C)) = D ) ) ) ) ) ) )).
fof(t23_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( v2_cqc_the1(B,A) => v2_cqc_the1(k11_cqc_lang(A,C,B),A) ) ) ) ) )).
fof(t23_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r4_cqc_the3(A,B,k1_cqc_the1(A,B)) ) ) )).
fof(t23_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_csspace(A,k4_algstr_0(A,B),C) = k4_xcmplx_0(k10_csspace(A,B,C)) ) ) ) )).
fof(t23_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( v4_normsp_0(k9_csspace4(A,B)) & v3_normsp_0(k9_csspace4(A,B)) & v8_clvect_1(k9_csspace4(A,B)) ) ) ) )).
fof(t23_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v3_dblseq_1(k4_dblseq_2(A)) <=> v3_dblseq_1(k2_dblseq_2(A)) ) ) )).
fof(t23_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_decomp_1(C,A,B) <=> ( v8_decomp_1(C,A,B) & v14_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t23_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ! [K] : ( m1_subset_1(K,A) => ! [L] : ( m1_subset_1(L,A) => ! [M] : ( m1_subset_1(M,A) => ! [N] : ( m1_subset_1(N,A) => ! [O] : ( m1_subset_1(O,A) => ! [P] : ( m1_subset_1(P,A) => ! [Q] : ( m1_subset_1(Q,A) => ! [R] : ( m1_subset_1(R,A) => ! [S] : ( m1_subset_1(S,A) => ! [T] : ( m1_subset_1(T,A) => ! [U] : ( m1_subset_1(U,A) => ! [V] : ( m1_subset_1(V,A) => ! [W] : ( m1_subset_1(W,A) => ! [X] : ( m1_subset_1(X,A) => ! [Y] : ( m1_subset_1(Y,A) => ! [Z] : ( m1_subset_1(Z,A) => ! [A1] : ( m1_subset_1(A1,A) => ! [B1] : ( m1_subset_1(B1,A) => ! [C1] : ( m1_subset_1(C1,A) => ! [D1] : ( m1_subset_1(D1,A) => ! [E1] : ( m1_subset_1(E1,A) => ! [F1] : ( m1_subset_1(F1,A) => ! [G1] : ( m1_subset_1(G1,A) => ! [H1] : ( m1_subset_1(H1,A) => ! [I1] : ( m1_subset_1(I1,A) => ! [J1] : ( m1_subset_1(J1,A) => ! [K1] : ( m1_subset_1(K1,A) => ! [L1] : ( m1_subset_1(L1,A) => ! [M1] : ( m1_subset_1(M1,A) => ! [N1] : ( m1_subset_1(N1,A) => ! [O1] : ( m1_subset_1(O1,A) => ! [P1] : ( m1_subset_1(P1,A) => ! [Q1] : ( m1_subset_1(Q1,A) => ! [R1] : ( m1_subset_1(R1,A) => ! [S1] : ( m1_subset_1(S1,A) => ! [T1] : ( m1_subset_1(T1,A) => ! [U1] : ( m1_subset_1(U1,A) => ! [V1] : ( m1_subset_1(V1,A) => ! [W1] : ( m1_subset_1(W1,A) => ? [X1] : ( m2_finseq_1(X1,A) & v3_card_1(X1,48) & k1_funct_1(X1,1) = B & k1_funct_1(X1,2) = C & k1_funct_1(X1,3) = D & k1_funct_1(X1,4) = E & k1_funct_1(X1,5) = F & k1_funct_1(X1,6) = G & k1_funct_1(X1,7) = H & k1_funct_1(X1,8) = I & k1_funct_1(X1,9) = J & k1_funct_1(X1,10) = K & k1_funct_1(X1,11) = L & k1_funct_1(X1,12) = M & k1_funct_1(X1,13) = N & k1_funct_1(X1,14) = O & k1_funct_1(X1,15) = P & k1_funct_1(X1,16) = Q & k1_funct_1(X1,17) = R & k1_funct_1(X1,18) = S & k1_funct_1(X1,19) = T & k1_funct_1(X1,20) = U & k1_funct_1(X1,21) = V & k1_funct_1(X1,22) = W & k1_funct_1(X1,23) = X & k1_funct_1(X1,24) = Y & k1_funct_1(X1,25) = Z & k1_funct_1(X1,26) = A1 & k1_funct_1(X1,27) = B1 & k1_funct_1(X1,28) = C1 & k1_funct_1(X1,29) = D1 & k1_funct_1(X1,30) = E1 & k1_funct_1(X1,31) = F1 & k1_funct_1(X1,32) = G1 & k1_funct_1(X1,33) = H1 & k1_funct_1(X1,34) = I1 & k1_funct_1(X1,35) = J1 & k1_funct_1(X1,36) = K1 & k1_funct_1(X1,37) = L1 & k1_funct_1(X1,38) = M1 & k1_funct_1(X1,39) = N1 & k1_funct_1(X1,40) = O1 & k1_funct_1(X1,41) = P1 & k1_funct_1(X1,42) = Q1 & k1_funct_1(X1,43) = R1 & k1_funct_1(X1,44) = S1 & k1_funct_1(X1,45) = T1 & k1_funct_1(X1,46) = U1 & k1_funct_1(X1,47) = V1 & k1_funct_1(X1,48) = W1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_dickson(A) => ( ( v16_waybel_0(A) & v1_wellfnd1(k5_dickson(A)) ) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_card_1(k6_dickson(A,B)) = 1 ) ) ) ) )).
fof(t23_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_numbers,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,E),B),k1_nat_1(A,1)),C) = k6_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(D,B),k1_nat_1(A,1)),C),k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(E,B),k1_nat_1(A,1)),C)) ) ) ) ) ) )).
fof(t23_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( r2_zfmisc_1(A,B,C,D) => k11_diff_1(k1_fcont_1(E,F),A,B,C,D) = k5_numbers ) ) ) ) ) ) ) )).
fof(t23_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k9_diff_1(C,k6_xcmplx_0(B,k7_xcmplx_0(A,2)),k2_xcmplx_0(B,k7_xcmplx_0(A,2))) = k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),1),B),A) ) ) ) )).
fof(t23_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k26_sin_cos)) & r2_tarski(k2_xcmplx_0(B,A),k1_relset_1(k1_numbers,k26_sin_cos)) ) => k1_funct_1(k3_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k26_sin_cos),k18_sin_cos),A),B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),k2_xcmplx_0(B,A)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),B)) ) ) ) )).
fof(t23_dilworth,axiom,( ! [A] : ( ( v4_dilworth(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_dilworth(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( k4_card_1(B) = k2_dilworth(A) => k4_subset_1(u1_struct_0(A),k4_dilworth(A,B),k3_dilworth(A,B)) = k2_struct_0(A) ) ) ) )).
fof(t23_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( B != C & ~ ( ~ ( r2_diraf(A,B,C,D,E) & r2_diraf(A,B,C,F,G) ) & ~ ( r2_diraf(A,B,C,D,E) & r2_diraf(A,F,G,B,C) ) & ~ ( r2_diraf(A,D,E,B,C) & r2_diraf(A,F,G,B,C) ) & ~ ( r2_diraf(A,D,E,B,C) & r2_diraf(A,B,C,F,G) ) ) & ~ r2_diraf(A,D,E,F,G) ) ) ) ) ) ) ) ) )).
fof(t23_dist_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( v1_dist_1(B,A) & v1_dist_1(C,A) ) => r1_dist_1(A,B,C) ) ) ) ) )).
fof(t23_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_finseq_2(B,A,k3_finseq_2(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,k1_bvfunc_1(A,C)),k7_margrel1) = k7_subset_1(k4_ordinal1,k4_finseq_1(B),k10_relat_1(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,B,C),k7_margrel1)) ) ) ) )).
fof(t23_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => k8_mcart_1(A,B,C,D) = a_4_1_domain_1(A,B,C,D) ) ) ) ) )).
fof(t23_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & v1_dualsp01(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => r2_funct_2(u1_struct_0(A),k1_numbers,k14_dualsp01(A,B),B) ) ) )).
fof(t23_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_dualsp02(A) => ( v7_struct_0(A) | ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) ) ) ) )).
fof(t23_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v2_finsub_1(B) => v2_finsub_1(k5_dynkin(A,B)) ) ) ) )).
fof(t23_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k3_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A),k10_xtuple_0(u2_e_siec(A)))),k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))) & k3_relat_1(k4_relat_1(k4_xboole_0(u1_struct_0(A),k10_xtuple_0(u1_e_siec(A)))),k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))) ) ) )).
fof(t23_ec_pf_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ( D = k4_nat_d(B,C) => k2_binom(k9_int_3(C),D,A) = k4_nat_d(k1_newton(B,A),C) ) ) ) ) ) )).
fof(t23_ec_pf_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v7_ordinal1(C) & v1_int_2(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_int_3(C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k9_int_3(C))) => ( ( D = k5_int_1(A,C) & E = k5_int_1(B,C) & A = k2_xcmplx_0(B,1) ) => k5_algstr_0(k9_int_3(C),k8_group_1(k9_int_3(C),D,F),F) = k8_group_1(k9_int_3(C),E,F) ) ) ) ) ) ) ) )).
fof(t23_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_ens_1(A))) => m1_subset_1(B,A) ) ) )).
fof(t23_entropy1,axiom,( ! [A] : ( ( v1_matrprob(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( ( v1_matrprob(B) & m2_finseq_1(B,k1_numbers) ) => v4_matrprob(k6_matrixr1(k9_matrixr1(A),k10_matrixr1(B))) ) ) )).
fof(t23_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_tarski(A,B),k4_enumset1(C,D,E,F,G,H)) )).
fof(t23_eqrel_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( r2_hidden(D,A) => ( r2_hidden(B,k6_eqrel_1(A,A,C,D)) <=> k6_eqrel_1(A,A,C,D) = k6_eqrel_1(A,A,C,B) ) ) ) )).
fof(t23_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v3_msualg_1(C,A) & v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_msafree(D,A,B) => ! [E] : ( ( v2_relat_1(E) & m1_msafree(E,A,C) ) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r2_pboole(u1_struct_0(A),E,k9_pboole(u1_struct_0(A),D,F)) & r1_msualg_3(A,B,C,F) ) => r2_msualg_3(A,B,C,F) ) ) ) ) ) ) ) )).
fof(t23_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ( v1_funct_1(B) & v1_funct_2(B,k2_finseq_1(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_finseq_1(A),k1_numbers))) ) ) ) )).
fof(t23_euclid10,axiom,( k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),3)) = k4_xcmplx_0(k7_xcmplx_0(1,2)) )).
fof(t23_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k4_algstr_0(k15_euclid(A),B),k4_algstr_0(k15_euclid(A),C)) = k22_rvsum_1(B,C) ) ) ) )).
fof(t23_euclid_3,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( k3_finseq_1(A) = 2 & B = A ) => k12_euclid(B) = k12_euclid(A) ) ) ) )).
fof(t23_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k22_rvsum_1(k6_euclid(A,B),C) = k4_xcmplx_0(k22_rvsum_1(B,C)) ) ) ) )).
fof(t23_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(3))) => k5_euclid_5(A,k3_rlvect_1(k15_euclid(3),B,C)) = k3_rlvect_1(k15_euclid(3),k5_euclid_5(A,B),k5_euclid_5(A,C)) ) ) ) )).
fof(t23_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_zfmisc_1(A,B,C) & r1_xxreal_0(k4_euclid_3(A,B,C),k28_sin_cos) ) => ( r1_xxreal_0(k4_euclid_3(B,C,A),k28_sin_cos) & r1_xxreal_0(k4_euclid_3(C,A,B),k28_sin_cos) ) ) ) ) ) )).
fof(t23_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k1_euclid(A)) => ( ( v5_valued_0(C) & r1_tarski(k2_relset_1(k4_ordinal1,C),k4_finseq_1(B)) & r2_relset_1(k4_ordinal1,k1_euclid(A),D,k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k1_euclid(A),C,B)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(B)) => ( r2_tarski(E,k2_relset_1(k4_ordinal1,C)) | k1_funct_1(B,E) = k5_euclid(A) ) ) ) ) => k5_euclid_7(A,B) = k5_euclid_7(A,D) ) ) ) ) ) )).
fof(t23_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) => ( v3_pre_topc(B,k3_pcomps_1(k14_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ~ ( r2_tarski(C,B) & ! [D] : ( ( ~ v8_ordinal1(D) & m1_subset_1(D,k4_ordinal1) ) => ~ r1_tarski(k4_euclid_9(A,C,k7_xcmplx_0(1,D)),B) ) ) ) ) ) ) )).
fof(t23_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(E)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(E)) => k7_euclid(E,k7_euclid(E,k9_euclid(E,F,A),k9_euclid(E,G,B)),k7_euclid(E,k9_euclid(E,F,C),k9_euclid(E,G,D))) = k7_euclid(E,k9_euclid(E,F,k2_xcmplx_0(A,C)),k9_euclid(E,G,k2_xcmplx_0(B,D))) ) ) ) ) ) ) ) )).
fof(t23_euclmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_analmetr(A) & l2_analmetr(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( ( r1_analmetr(B,C,D) & A = k2_analmetr(B,C,D) ) => ( ~ v2_struct_0(A) & v4_analmetr(A) & v1_euclmetr(A) & v2_euclmetr(A) & v3_euclmetr(A) & v4_euclmetr(A) & v5_euclmetr(A) & v6_euclmetr(A) & v7_euclmetr(A) & l2_analmetr(A) ) ) ) ) ) ) )).
fof(t23_exchsort,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_exchsort(C) ) => ( k9_xtuple_0(C) = k6_subset_1(A,B) => ( v1_xboole_0(C) | ( k1_exchsort(C) = B & k2_exchsort(C) = A ) ) ) ) ) ) )).
fof(t23_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ( r1_extpro_1(A,B,C,D) => k6_extpro_1(A,B,C,D) = k5_extpro_1(A,B,C,D,k8_extpro_1(A,B,C,D)) ) ) ) ) ) )).
fof(t23_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( ( r1_xxreal_0(k2_xxreal_3(B),A) & r1_xxreal_0(A,B) ) <=> r1_xxreal_0(k3_extreal1(A),B) ) ) ) )).
fof(t23_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & l1_msualg_1(B) ) => k2_circcomb(A,B) = k2_circcomb(B,A) ) ) )).
fof(t23_facirc_2,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k19_facirc_1(A,B,C)) = k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),k9_facirc_1(A,B,C,k1_facirc_1)),k1_enumset1(k4_tarski(k10_finseq_1(A,B),k3_facirc_1),k4_tarski(k10_finseq_1(B,C),k3_facirc_1),k4_tarski(k10_finseq_1(C,A),k3_facirc_1))),k1_tarski(k17_facirc_1(A,B,C))) )).
fof(t23_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) & k8_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,A),k1_seq_4(k5_numbers)) = k1_xboole_0 ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,B),A)) ) ) )).
fof(t23_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(k2_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A))) ) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A))) ) | v3_rcomp_1(k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A)))) ) ) ) ) ) )).
fof(t23_fdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,D)) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(D,E) = k2_xcmplx_0(k3_xcmplx_0(A,E),B) ) ) ) => ( r2_fdiff_1(D,C) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,C) => k1_funct_1(k2_fdiff_1(D,C),E) = A ) ) ) ) ) ) ) ) )).
fof(t23_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k18_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k18_sin_cos),A),B) = k4_xcmplx_0(k7_xcmplx_0(k17_sin_cos(k1_funct_1(k26_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B)))) ) ) ) ) ) )).
fof(t23_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k2_fdiff_9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k2_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_sin_cos9,k2_fdiff_9),A),B) = k4_xcmplx_0(k7_xcmplx_0(k1_funct_1(k18_sin_cos,k1_funct_1(k1_sin_cos9,B)),k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k1_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B))))) ) ) ) ) ) )).
fof(t23_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_fdiff_1(B,A) & v3_rcomp_1(k7_relset_1(k1_numbers,k1_numbers,B,A)) & m1_subset_1(k7_relset_1(k1_numbers,k1_numbers,B,A),k1_zfmisc_1(k1_numbers)) & r2_fdiff_1(C,k7_relset_1(k1_numbers,k1_numbers,B,A)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A) & r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A),k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k2_fdiff_1(C,k7_relset_1(k1_numbers,k1_numbers,B,A))),k2_fdiff_1(B,A))) ) ) ) ) ) )).
fof(t23_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_taylor_1(2)),B))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(B,C) = 1 ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_taylor_1(2)),B),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_taylor_1(2)),B),A),C) = k3_xcmplx_0(2,k23_sin_cos(k3_xcmplx_0(2,C))) ) ) ) ) ) ) )).
fof(t23_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos6),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2)))))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) & B = k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D) & D = k1_taylor_1(2) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => ( k1_funct_1(C,E) = 1 & ~ r1_xxreal_0(k1_funct_1(B,E),k5_numbers) & E != k5_numbers ) ) ) ) => ( r2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos6),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2)))),A) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => k1_funct_1(k2_fdiff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k1_sin_cos6),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2)))),A),E) = k1_funct_1(k1_sin_cos6,E) ) ) ) ) ) ) ) ) )).
fof(t23_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k6_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos)))) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => ( k6_xcmplx_0(1,k1_funct_1(k16_sin_cos,B)) != k5_numbers & k2_xcmplx_0(1,k1_funct_1(k16_sin_cos,B)) != k5_numbers ) ) ) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k6_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k6_rfunct_1(k1_numbers,k1_numbers,k18_sin_cos)),A),B) = k7_xcmplx_0(1,k2_xcmplx_0(1,k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t23_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k2_fdiff_9),k1_partfun2(k1_numbers,A)))) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k2_fdiff_9),k1_partfun2(k1_numbers,A)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k2_fdiff_9),k1_partfun2(k1_numbers,A)),A),B) = k7_xcmplx_0(k6_xcmplx_0(k1_funct_1(k18_sin_cos,B),k1_square_1(k1_funct_1(k16_sin_cos,B))),k1_square_1(k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t23_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_tarski(k9_ff_siec(A),k2_zfmisc_1(k2_net_1(A),k2_net_1(A))) & r1_tarski(k10_ff_siec(A),k2_zfmisc_1(k2_net_1(A),k2_net_1(A))) ) ) )).
fof(t23_fib_num2,axiom,( k1_pre_ff(4) = 3 )).
fof(t23_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k6_xcmplx_0(k1_fib_num3(k1_nat_1(A,3)),k2_nat_1(2,k1_fib_num3(A))) = k2_nat_1(5,k1_pre_ff(A)) ) )).
fof(t23_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => ( v1_abian(A) | k1_pre_ff(k2_xcmplx_0(A,1)) = k2_int_1(k6_xcmplx_0(k3_xcmplx_0(k1_fib_num,k1_pre_ff(A)),1)) ) ) ) )).
fof(t23_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ! [D] : ( m1_finseq_1(D,A) => ! [E] : ( m1_finseq_1(E,A) => ! [F] : ( m1_finseq_1(F,A) => ( ( F = k9_finseq_1(C) & D = k11_finseq_1(C,B,C) & E = k10_finseq_1(B,C) ) => ( B = C | ( r1_filerec1(A,F,D,F) & r1_filerec1(A,E,D,F) ) ) ) ) ) ) ) )).
fof(t23_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(B,C) => r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C)) ) ) ) ) )).
fof(t23_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ( v2_binop_1(C,A) & v2_binop_1(D,B) ) <=> v2_binop_1(k6_filter_1(A,B,C,D),k2_zfmisc_1(A,B)) ) ) ) ) ) )).
fof(t23_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_tarski(C,B) ) ) ) )).
fof(t23_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_fin_topo(B,A) => v3_fin_topo(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t23_finance2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & v1_random_3(C,A,k1_numbers,B,k12_prob_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & v1_random_3(D,A,k1_numbers,B,k12_prob_1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k3_valued_1(A,k1_numbers,k1_numbers,C,D)) & v1_funct_2(k3_valued_1(A,k1_numbers,k1_numbers,C,D),A,k1_numbers) & v1_random_3(k3_valued_1(A,k1_numbers,k1_numbers,C,D),A,k1_numbers,B,k12_prob_1) & m1_subset_1(k3_valued_1(A,k1_numbers,k1_numbers,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) ) ) )).
fof(t23_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k1_nat_1(k3_finseq_1(A),1),C) & r1_xxreal_0(C,k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) ) => k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A))) ) ) ) ) )).
fof(t23_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_finseq_1(D,C) => ~ ( k3_finseq_1(D) = k2_xcmplx_0(A,B) & ! [E] : ( m2_finseq_1(E,C) => ! [F] : ( m2_finseq_1(F,C) => ~ ( k3_finseq_1(E) = A & k3_finseq_1(F) = B & D = k8_finseq_1(C,E,F) ) ) ) ) ) ) ) ) )).
fof(t23_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k1_relset_1(k4_ordinal1,A)) => m1_subset_1(B,k4_ordinal1) ) ) )).
fof(t23_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_hidden(B,k10_xtuple_0(A)) => r2_tarski(k4_finseq_4(A,B),k8_relat_1(A,k1_tarski(B))) ) ) )).
fof(t23_finseq_5,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k17_finseq_1(A,k3_finseq_1(B),k8_finseq_1(A,B,C)) = B ) ) )).
fof(t23_finseq_6,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != C & B != C & k4_finseq_4(k11_finseq_1(A,B,C),C) != 3 ) )).
fof(t23_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => k2_finseq_7(A,k2_finseq_4(A,B,C),1,2) = k2_finseq_4(A,C,B) ) ) ) )).
fof(t23_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r4_finseq_8(A,B,C) => r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(B)) ) ) ) ) )).
fof(t23_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C))) ) => ! [G] : ( ( v3_card_1(G,E) & m2_finseq_1(G,A) ) => k4_funcop_1(F,G,D) = k3_relat_1(G,k4_funcop_1(F,k6_partfun1(A),D)) ) ) ) ) ) ) ) )).
fof(t23_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k12_fintopo2(A,C)) <=> ( r2_tarski(B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,k6_fintopo2(A,B)) & r1_xboole_0(k7_subset_1(u1_struct_0(A),D,k6_domain_1(u1_struct_0(A),B)),C) ) ) ) ) ) ) ) )).
fof(t23_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_orders_2(A) => ! [C] : ( v7_ordinal1(C) => r1_tarski(B,k3_fintopo3(A,B,C)) ) ) ) ) )).
fof(t23_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_fintopo4(A,B,C) => r1_xboole_0(k7_fin_topo(A,B),C) ) ) ) ) )).
fof(t23_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => ! [C] : ( v7_ordinal1(C) => k7_flang_1(A,B,k1_nat_1(C,1)) = k6_flang_1(A,k7_flang_1(A,B,C),B) ) ) )).
fof(t23_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( ( r1_xxreal_0(E,C) & r1_xxreal_0(D,F) ) => r1_tarski(k1_flang_2(A,B,C,D),k1_flang_2(A,B,E,F)) ) ) ) ) ) ) )).
fof(t23_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => k6_flang_1(A,B,k1_flang_3(A,B,C)) = k6_flang_1(A,k1_flang_3(A,B,C),B) ) ) )).
fof(t23_fomodel0,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ! [C] : ( v1_relat_1(C) => k8_relat_1(k2_xboole_0(B,C),A) = k2_xboole_0(k8_relat_1(B,A),k8_relat_1(C,A)) ) ) )).
fof(t23_fomodel2,axiom,( ! [A] : ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v4_fomodel2(D,B) & m2_subset_1(D,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ! [E] : ( ( v4_fomodel2(E,B) & m2_subset_1(E,k3_finseq_2(k15_fomodel1(B)),k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0))) ) => ( ~ v15_fomodel1(D,B) => ( D = k7_finseq_1(k7_finseq_1(k9_finseq_1(A),E),C) <=> ( A = k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(B)),k1_tarski(k1_xboole_0)),k15_fomodel1(B),k22_fomodel1(B),D) & E = k37_fomodel2(B,D) & C = k38_fomodel2(B,D) ) ) ) ) ) ) ) )).
fof(t23_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v1_frechet(A) => v3_frechet(A) ) ) )).
fof(t23_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v4_frechet(A) => ( v3_frechet(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( k1_frechet2(A,k1_struct_0(A)) = k1_xboole_0 & r1_tarski(B,k1_frechet2(A,B)) & k1_frechet2(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k1_frechet2(A,B),k1_frechet2(A,C)) & k1_frechet2(A,k1_frechet2(A,B)) = k1_frechet2(A,B) ) ) ) ) ) ) )).
fof(t23_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ~ v1_facirc_1(k2_msafree2(k8_fscirc_1(A,B,C))) ) ) ) )).
fof(t23_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(A,C),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & ~ ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)))) => v1_circuit2(k5_facirc_1(k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C),D,2),k4_fscirc_1(A,B,C),k7_fscirc_1(A,B,C)) ) ) )).
fof(t23_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => ! [G] : ( v7_ordinal1(G) => ( ( r6_fsm_1(A,B,C,D,E,G) & r6_fsm_1(A,B,C,E,F,G) ) => r6_fsm_1(A,B,C,D,F,G) ) ) ) ) ) ) ) ) )).
fof(t23_fsm_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_fsm_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers)) ) => ( ( v1_fsm_2(A,k2_zfmisc_1(k1_numbers,k1_numbers)) & u1_struct_0(A) = k1_ordinal1(k1_numbers) & u1_fsm_2(k2_zfmisc_1(k1_numbers,k1_numbers),A) = k1_numbers & u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A) = k1_numbers & u4_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers),A) = k6_partfun1(u1_struct_0(A)) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(C,B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(B,C))) = B ) ) ) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(B,C))) = C ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => r3_fsm_2(k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers),A,k1_domain_1(k1_numbers,k1_numbers,B,C),k4_xxreal_0(B,C)) ) ) ) ) )).
fof(t23_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( ( ~ v2_struct_0(C) & l1_rewrite3(C,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A)))) ) => ! [D] : ( m1_rewrite1(D,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),C)) => ~ ( k2_xtuple_0(k1_funct_1(D,1)) = B & k2_xtuple_0(k1_funct_1(D,k3_finseq_1(D))) = k2_flang_1(A) & r1_xxreal_0(k3_finseq_1(D),k1_afinsq_1(B)) ) ) ) ) ) )).
fof(t23_ftacell1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( ~ v1_xtuple_0(D) => ! [E] : ~ ( E != k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1) & ~ r2_tarski(E,k3_msafree2(k37_gfacirc1(A,B,C))) & k2_msafree2(k13_ftacell1(A,B,C,D,E)) != k3_enumset1(A,B,C,D,E) ) ) ) ) ) )).
fof(t23_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( k5_relat_1(A,D) = k5_relat_1(B,D) => k5_relat_1(k3_funcop_1(E,A,C),D) = k5_relat_1(k3_funcop_1(E,B,C),D) ) ) ) ) ) )).
fof(t23_funcsdom,axiom,( ? [A] : ( ~ v2_struct_0(A) & v13_algstr_0(A) & v1_rlvect_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & D = k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)) ) ) ) ) ) ) )).
fof(t23_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( k10_xtuple_0(A) = k9_xtuple_0(B) & k3_relat_1(A,B) = A ) => B = k4_relat_1(k9_xtuple_0(B)) ) ) ) )).
fof(t23_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ( r2_relset_1(A,A,k1_partfun1(A,B,B,A,C,D),k6_partfun1(A)) => ( v2_funct_1(C) & v2_funct_2(D,A) ) ) ) ) )).
fof(t23_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k7_relat_1(k3_funct_3(B),A),k1_zfmisc_1(k9_xtuple_0(B))) ) )).
fof(t23_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => k5_relat_1(k1_funct_4(A,B),k9_xtuple_0(B)) = B ) ) )).
fof(t23_funct_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => k9_xtuple_0(k3_funct_5(A)) = k10_xtuple_0(k9_xtuple_0(A)) ) )).
fof(t23_funct_6,axiom,( k1_funct_6(k1_xboole_0) = k1_xboole_0 & k2_funct_6(k1_xboole_0) = k1_xboole_0 )).
fof(t23_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v1_funcop_1(k7_finseq_1(A,B)) => ( v1_funcop_1(A) & v1_funcop_1(B) ) ) ) ) )).
fof(t23_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_funct_8(A,k1_numbers,k1_numbers,B) & r1_funct_8(A,k1_numbers,k1_numbers,C) ) => r1_funct_8(A,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t23_funct_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_int_1(A) ) => v1_funct_9(k1_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)) ) )).
fof(t23_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( ( v11_functor0(C,A,B) & l2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_binop_1(u1_struct_0(A),u1_struct_0(A),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),D,E) = k4_tarski(k3_functor0(A,B,C,E),k3_functor0(A,B,C,D)) ) ) ) ) ) )).
fof(t23_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_functor2(E,A,B,C,D) => ( r1_functor2(A,B,C,D) => r8_pboole(u1_struct_0(A),k7_functor3(A,B,B,C,D,k12_functor0(B),k12_functor0(B),E,k4_functor2(B,B,k12_functor0(B))),E) ) ) ) ) ) ) )).
fof(t23_fuznum_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( v1_fcont_1(A) & v1_fcont_1(B) & ? [C] : ( k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k1_relset_1(k1_numbers,B)) = k1_tarski(C) & ! [D] : ( r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k1_relset_1(k1_numbers,B))) => k1_funct_1(A,D) = k1_funct_1(B,D) ) ) & ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( r2_relset_1(k1_numbers,k1_numbers,C,k7_funct_4(k1_numbers,k1_numbers,A,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,A),k1_relset_1(k1_numbers,B))) => r1_fcont_1(C,D) ) ) ) ) ) ) ) )).
fof(t23_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k1_fuzzy_1(A,B,C),k2_fuzzy_1(A,B,C)) ) ) ) )).
fof(t23_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k2_fuzzy_1(A,k1_fuzzy_2(A,B,k2_fuzzy_1(A,D,C)),k1_fuzzy_1(A,k1_fuzzy_1(A,B,D),C)),k1_fuzzy_2(A,B,k6_fuzzy_1(A,D,C))) ) ) ) ) )).
fof(t23_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,C),k1_numbers,k3_fuzzy_4(A,B,C,D,k4_fuzzy_2(B,C)),k4_fuzzy_2(A,C)) ) ) ) ) )).
fof(t23_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_fvaluat1(D,A) => ( v3_fvaluat1(A) => ( B = k4_struct_0(A) | C = k4_struct_0(A) | k3_funct_2(u1_struct_0(A),k6_numbers,D,k12_algstr_0(A,B,C)) = k2_supinf_2(k3_funct_2(u1_struct_0(A),k6_numbers,D,k12_algstr_0(A,C,B))) ) ) ) ) ) ) )).
fof(t23_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(k17_gate_1(A,B,C,D)) <=> ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) ) ) )).
fof(t23_gaussint,axiom,( ! [A] : ( m1_ec_pf_1(A,k11_gaussint) => r1_tarski(k4_ordinal1,u1_struct_0(A)) ) )).
fof(t23_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => ( r4_gcd_1(A,C,D) => C = D ) ) ) ) ) )).
fof(t23_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( ( r1_xxreal_0(k3_finseq_1(E),B) & r1_xxreal_0(k3_finseq_1(E),C) ) => k9_genealg1(D,E,F,A,B,C) = k7_genealg1(D,E,F,A) ) ) ) ) ) ) ) )).
fof(t23_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r1_analmetr(A,E,F) & r2_geomtrap(A,E,F,D,B,D,C) ) => B = C ) ) ) ) ) ) ) )).
fof(t23_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(C,A),k3_facirc_1) & C != k4_tarski(k10_finseq_1(A,B),k3_facirc_1) & ~ ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C)))) => v1_circuit2(k5_facirc_1(k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C),D,2),k7_gfacirc1(A,B,C),k8_gfacirc1(A,B,C)) ) ) )).
fof(t23_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => k3_msafree2(k5_gfacirc2(k1_nat_1(A,1),B,C)) = k2_xboole_0(k3_msafree2(k5_gfacirc2(A,B,C)),k3_msafree2(k25_gfacirc1(k1_funct_1(B,k1_nat_1(A,1)),k1_funct_1(C,k1_nat_1(A,1)),k7_gfacirc2(A,B,C)))) ) ) ) )).
fof(t23_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_000(A) & v4_glib_000(A) ) => k7_glib_000(A) = k1_xboole_0 ) )).
fof(t23_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ! [D] : ( r1_glib_001(A,C,D,B) <=> r1_glib_001(A,D,C,k6_glib_001(A,B)) ) ) ) )).
fof(t23_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_glib_002(B) & m1_glib_000(B,A) ) => ( v9_glib_000(B,A) => v1_glib_002(A) ) ) ) )).
fof(t23_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => k10_glib_003(A,B) = k10_glib_003(A,k6_glib_001(A,B)) ) ) )).
fof(t23_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v8_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_glib_003(D) & v4_glib_003(D,A) & m2_glib_000(D,A,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))),k3_domain_1(k3_rfunct_3(k6_glib_000(A),k1_numbers),k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C))) ) => ( r1_glib_004(A,D,B) & ! [E] : ( m1_subset_1(E,k6_glib_000(A)) => ( r2_tarski(E,k1_relset_1(k6_glib_000(A),k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)))) => k1_glib_004(A,B,E) = k1_funct_1(k5_glib_004(k6_glib_000(A),k1_numbers,k1_zfmisc_1(k7_glib_000(A)),k9_glib_004(A,k10_glib_004(A,B),C)),E) ) ) ) ) ) ) ) )).
fof(t23_goboard1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(C)) ) => ( ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(A)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(F,G),k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(C,D,F,G) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(B)) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(F,G),k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,E) = k3_matrix_0(C,D,F,G) ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B))) & ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ~ ( r2_hidden(k4_tarski(F,G),k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B),E) = k3_matrix_0(C,D,F,G) ) ) ) ) ) ) ) ) ) )).
fof(t23_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v1_goboard1(B) & v4_goboard1(B) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) ) => ( v3_relat_1(B) | k9_subset_1(u1_struct_0(k15_euclid(2)),k1_goboard5(B,A),k1_goboard5(B,k1_nat_1(A,1))) = a_2_10_goboard5(A,B) ) ) ) ) )).
fof(t23_goboard6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k1_matrix_0(B),A) | k1_tops_1(k15_euclid(2),k3_goboard5(B,k3_finseq_1(B),A)) = a_2_3_goboard6(A,B) ) ) ) ) )).
fof(t23_goboard7,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_matrix_0(A)) & ~ r1_xboole_0(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1),C)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) & ~ ( B = D & k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1),C)) = k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E)) ) & ~ ( B = k1_nat_1(D,1) & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1),C)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C)) ) & ~ ( k1_nat_1(B,1) = D & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1),C)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E)) ) ) ) ) ) ) ) )).
fof(t23_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,B) & r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,1)),k18_euclid(C)) ) ) => r1_xboole_0(B,k3_topreal1(2,A)) ) ) ) )).
fof(t23_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k3_goboard9(A) = k2_goboard9(k1_goboard9(A)) ) )).
fof(t23_gobrd11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v2_goboard1(B) & r1_xxreal_0(1,A) ) => ( r1_xxreal_0(k1_matrix_0(B),A) | k2_goboard5(B,A) = a_2_1_gobrd11(A,B) ) ) ) ) )).
fof(t23_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(D)) & r1_goboard1(u1_struct_0(k15_euclid(2)),D,E) & r2_hidden(k4_tarski(A,B),k2_matrix_0(E)) & r2_hidden(k4_tarski(k1_nat_1(A,1),B),k2_matrix_0(E)) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,B) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k1_nat_1(A,1),B) ) => k2_gobrd13(D,E,C) = k3_goboard5(E,A,B) ) ) ) ) ) ) )).
fof(t23_gobrd14,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ~ ( r2_tarski(A,k3_goboard9(B)) & r1_xxreal_0(k17_euclid(A),k6_pscomp_1(k3_topreal1(2,B))) ) ) ) )).
fof(t23_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => r1_henmodel(A,B,k5_cqc_lang(A)) ) ) )).
fof(t23_gr_cy_1,axiom,( k2_gr_cy_1 = k5_group_4(k2_gr_cy_1,k6_domain_1(u1_struct_0(k2_gr_cy_1),k5_gr_cy_1(1))) )).
fof(t23_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( A = k5_group_4(A,k6_domain_1(u1_struct_0(A),B)) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) & v1_group_6(D,C,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ( r1_struct_0(k10_group_6(C,A,D),B) => v2_funct_2(D,u1_struct_0(A)) ) ) ) ) ) ) )).
fof(t23_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( A != 2 => k4_nat_d(k1_gr_cy_3(A),k3_xcmplx_0(2,A)) = 1 ) ) )).
fof(t23_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_graph_1(B) & l1_graph_1(B) ) => ( r4_graph_1(A,B) => ( k5_graph_1(A,B) = B & k5_graph_1(B,A) = B ) ) ) ) )).
fof(t23_graph_2,axiom,( ! [A] : ! [B] : ! [C] : ( v7_ordinal1(C) => ~ ( A != B & ~ r1_xxreal_0(C,1) & ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & v1_graph_2(D) & v2_graph_2(D) ) => ~ ( k10_xtuple_0(D) = k2_tarski(A,B) & k3_finseq_1(D) = C & k1_funct_1(D,1) = A ) ) ) ) )).
fof(t23_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_card_1(k6_graph_3(A,B)) = k9_graph_1(A,B) ) ) )).
fof(t23_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v7_graph_1(B,A) & v3_graph_2(B,A) & m2_graph_1(B,A) ) => ( v2_funct_1(B) & v7_graph_1(B,A) & m2_graph_1(B,A) ) ) ) )).
fof(t23_graph_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & l1_graph_1(C) ) => ! [D] : ( m2_finseq_1(D,u4_struct_0(C)) => ! [E] : ( m2_finseq_1(E,u4_struct_0(C)) => ( r1_tarski(k7_subset_1(u1_struct_0(C),k2_graph_5(C,k8_finseq_1(u4_struct_0(C),D,E)),A),B) => ( r1_tarski(k7_subset_1(u1_struct_0(C),k2_graph_5(C,D),A),B) & r1_tarski(k7_subset_1(u1_struct_0(C),k2_graph_5(C,E),A),B) ) ) ) ) ) )).
fof(t23_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(A),k8_graph_5) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k8_graph_5))) ) => ( r1_xxreal_0(k5_numbers,k11_graphsp(A,B,C,D)) <=> ? [E] : ( r2_tarski(E,u4_struct_0(A)) & r1_graph_4(A,B,C,E) ) ) ) ) ) ) )).
fof(t23_grcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ( k7_grcat_1(k11_grcat_1(A)) = A & k8_grcat_1(k11_grcat_1(A)) = A & ! [B] : ( ( v1_grcat_1(B) & v2_grcat_1(B) & l1_grcat_1(B) ) => ( k8_grcat_1(B) = A => k13_grcat_1(k11_grcat_1(A),B) = B ) ) & ! [B] : ( ( v1_grcat_1(B) & v2_grcat_1(B) & l1_grcat_1(B) ) => ( k7_grcat_1(B) = A => k13_grcat_1(B,k11_grcat_1(A)) = B ) ) ) ) )).
fof(t23_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(B,A) => k5_relat_1(A,k9_xtuple_0(B)) = B ) ) ) )).
fof(t23_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( k13_group_2(B,k2_grsolv_1(A,B,C,D),k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F))) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k13_group_2(A,D,k6_algstr_0(A,E,F))) & k5_group_2(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F),k14_group_2(B,k2_grsolv_1(A,B,C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E))) = k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k5_group_2(A,F,k14_group_2(A,D,E))) ) ) ) ) ) ) ) )).
fof(t23_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( r1_groeb_1(A,B,C,E) => ( r2_tarski(D,k7_ideal_1(k12_polynom1(A,C),E)) <=> r1_rewrite1(k3_polyred(A,B,C,E),D,k8_polynom1(A,C)) ) ) ) ) ) ) ) )).
fof(t23_groeb_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( r1_groeb_1(A,B,C,D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r2_tarski(E,D) & r2_tarski(F,D) & r4_rewrite1(k3_polyred(A,B,C,D),k3_groeb_2(A,B,C,E,F),G) ) => r8_pboole(k15_pre_poly(A),G,k8_polynom1(A,C)) ) ) ) ) ) ) ) ) ) )).
fof(t23_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & v1_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) ) => r2_tarski(k3_termord(A,B,C,D),k3_groeb_3(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t23_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r1_finseqop(u1_struct_0(A),k3_group_1(A),u2_algstr_0(A)) ) )).
fof(t23_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_group_2(D,A) => r1_tarski(k4_subset_1(u1_struct_0(A),k1_group_11(A,B,D),k1_group_11(A,C,D)),k1_group_11(A,k4_subset_1(u1_struct_0(A),B,C),D)) ) ) ) ) )).
fof(t23_group_17,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_group_7(D) & v2_group_7(D,B) & v3_group_7(D,B) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & l3_algstr_0(E) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_group_1(F) & v3_group_1(F) & l3_algstr_0(F) ) => ! [G] : ( m1_subset_1(G,B) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(E),u1_struct_0(k2_group_7(A,C))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(k2_group_7(A,C))))) ) => ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(E),u1_struct_0(k2_group_7(A,C))) & v1_group_6(H,E,k2_group_7(A,C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(k2_group_7(A,C))))) & v3_funct_2(H,u1_struct_0(E),u1_struct_0(k2_group_7(A,C))) & B = k2_xboole_0(A,k6_domain_1(B,G)) & D = k1_funct_4(C,k17_funcop_1(G,F)) ) => ( r2_tarski(G,A) | ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))))) ) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(E)) => ! [K] : ( m1_subset_1(K,u1_struct_0(F)) => ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & L = k3_funct_2(u1_struct_0(E),u1_struct_0(k2_group_7(A,C)),H,J) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D)),I,k5_group_7(E,F,J,K)) = k1_funct_4(L,k17_funcop_1(G,K)) ) ) ) => ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))) & v1_group_6(I,k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F)),k2_group_7(B,D)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( v1_finset_1(k4_group_19(A,B,C)) => v1_finset_1(k4_group_19(A,B,k14_funct_7(A,u1_struct_0(B),C,D,E))) ) ) ) ) ) ) )).
fof(t23_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k2_group_1(A,C),B) ) ) => k1_group_2(A,B) = B ) ) ) )).
fof(t23_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_group_3(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,k2_group_3(A,B,D),k2_group_3(A,C,D)) ) ) ) ) )).
fof(t23_group_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & v3_group_1(C) & l3_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => k4_group_4(C,k2_finseq_4(k4_numbers,k2_group_4(A),k2_group_4(B)),k2_finseq_4(u1_struct_0(C),D,E)) = k2_finseq_4(u1_struct_0(C),k5_group_1(C,D,A),k5_group_1(C,E,B)) ) ) ) ) ) )).
fof(t23_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_group_3(A,k2_group_5(A,B,C),D) = k2_group_5(A,k2_group_3(A,B,D),k2_group_3(A,C,D)) ) ) ) ) )).
fof(t23_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ( r1_struct_0(k5_group_6(A,C),B) <=> ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & B = k13_group_2(A,C,D) & B = k14_group_2(A,C,D) ) ) ) ) )).
fof(t23_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_group_1(C) & l3_algstr_0(C) ) => ( v1_relat_1(k11_finseq_1(A,B,C)) & v4_relat_1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_partfun1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_group_7(k11_finseq_1(A,B,C)) & v2_group_7(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) ) ) ) ) )).
fof(t23_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ~ ( A != k6_group_2(A) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => B = k1_group_1(A) ) ) ) )).
fof(t23_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v2_group_9(C,A) & v4_group_9(C,A,B) & m1_group_9(C,A,B) ) => ! [D] : ( ( v2_group_9(D,A) & v4_group_9(D,A,B) & m1_group_9(D,A,B) ) => ? [E] : ( v2_group_9(E,A) & v4_group_9(E,A,B) & m1_group_9(E,A,B) & u1_struct_0(E) = k2_group_2(B,k15_group_9(A,B,C),k15_group_9(A,B,D)) ) ) ) ) )).
fof(t23_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( m1_group_2(C,B) => ( v2_group_10(B,A) => r1_xxreal_0(k2_groupp_1(A,C),k2_groupp_1(A,B)) ) ) ) ) )).
fof(t23_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,E) & r1_gtarski1(A,C,D,E) ) => r4_gtarski1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t23_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ( v1_funct_1(u1_normsp_0(A)) & v1_funct_2(u1_normsp_0(A),u1_struct_0(A),k1_numbers) & v1_hahnban(u1_normsp_0(A),A) & v6_hahnban(u1_normsp_0(A),A) & m1_subset_1(u1_normsp_0(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) )).
fof(t23_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) ) ) )).
fof(t23_hallmar1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v2_relat_1(B) & m2_finseq_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m3_hallmar1(D,A,B,C) => ~ ( r2_tarski(C,k4_finseq_1(B)) & k1_funct_1(D,C) = k1_xboole_0 ) ) ) ) ) )).
fof(t23_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( v2_compts_1(B,k3_pcomps_1(A)) & v2_compts_1(C,k3_pcomps_1(A)) & r2_tarski(D,C) ) => r1_xxreal_0(k1_funct_1(k5_weierstr(A,B),D),k10_weierstr(A,B,C)) ) ) ) ) ) )).
fof(t23_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k3_glib_001(A,B) = k3_glib_001(A,C) => ( r1_tarski(B,C) | r1_xxreal_0(k1_nat_1(k3_finseq_1(k1_helly(B,C)),2),k3_finseq_1(B)) ) ) ) ) ) )).
fof(t23_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => k8_vectsp10(A,k1_complfld,B) = k8_vectsp10(A,k1_complfld,k1_hermitan(A,B)) ) ) )).
fof(t23_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => k4_lattices(k11_normform(A),B,k3_funct_2(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),k8_heyting1(A),B)) = k5_lattices(k11_normform(A)) ) )).
fof(t23_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k4_partfun1(A,B)) ) => r2_tarski(C,k3_funct_2(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B)),k8_heyting2(A,B),C)) ) ) )).
fof(t23_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_tarski(k2_heyting3(A,B),k2_heyting3(C,B)) => A = C ) ) ) ) )).
fof(t23_hfdiff_1,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_fdiff_1(B,A) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,A),1),k2_fdiff_1(B,A)) ) ) ) )).
fof(t23_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_ringcat1(C,A,B) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) ) ) ) ) )).
fof(t23_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ( ( r2_tarski(k3_hilbert1(A,B),k6_hilbert1) & r2_tarski(k3_hilbert1(B,C),k6_hilbert1) ) => r2_tarski(k3_hilbert1(A,C),k6_hilbert1) ) ) ) ) )).
fof(t23_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k4_hilbert1(A,B) != k2_hilbert1 ) ) )).
fof(t23_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( C = k1_xboole_0 & B != k1_xboole_0 & A != k1_xboole_0 ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,C)))) ) => r1_tarski(k10_xtuple_0(k2_pralg_2(D)),k1_funct_2(A,C)) ) ) )).
fof(t23_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ( r2_tarski(B,A) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( D = k1_xtuple_0(k3_trees_2(k1_huffman1,B,C)) => r1_xxreal_0(D,k9_huffman1(A)) ) ) ) ) ) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,k1_huffman1) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v2_bintree1(B) ) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k1_huffman1) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v2_bintree1(C) ) => ! [D] : ( ( v1_relat_1(D) & v5_relat_1(D,k1_huffman1) & v1_funct_1(D) & v1_finset_1(D) & v3_trees_2(D) & v2_bintree1(D) ) => ( ( r2_tarski(B,A) & r2_tarski(C,A) & D = k8_huffman1(C,B,k1_nat_1(k9_huffman1(A),1)) ) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(D)) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( F = k1_xtuple_0(k3_trees_2(k1_huffman1,D,E)) => r1_xxreal_0(F,k1_nat_1(k9_huffman1(A),1)) ) ) ) ) ) ) ) ) ) )).
fof(t23_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( B != k9_polynom3(A) & C != k9_polynom3(A) & k2_hurwitz(A,k11_polynom3(A,B,C)) != k2_xcmplx_0(k2_hurwitz(A,B),k2_hurwitz(A,C)) ) ) ) ) )).
fof(t23_hurwitz2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k2_hurwitz(A,B) = k4_xxreal_0(k2_hurwitz(A,k1_hurwitz2(A,B)),k2_hurwitz(A,k2_hurwitz2(A,B))) ) ) )).
fof(t23_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( v1_int_2(k1_nat_1(k5_series_1(2,D),1)) & r1_idea_1(D,A) & r1_idea_1(D,B) & r1_idea_1(D,C) ) => k9_idea_1(D,k9_idea_1(D,A,B),C) = k9_idea_1(D,A,k9_idea_1(D,B,C)) ) ) ) ) ) )).
fof(t23_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_ideal_1(D,A,B) => m1_ideal_1(k9_fvsum_1(A,D,C),A,B) ) ) ) ) )).
fof(t23_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ~ ( ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & r1_incsp_1(A,D,B) & r1_incsp_1(A,D,C) ) & ! [D] : ( m1_subset_1(D,u4_incsp_1(A)) => ~ ( r3_incsp_1(A,B,D) & r3_incsp_1(A,C,D) ) ) ) ) ) ) )).
fof(t23_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m5_index_1(D,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B),k7_isocat_1(B)) => ! [E] : ( m4_index_1(E,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),D) => k14_index_1(A,B,B,C,D) = k13_index_1(A,E,k9_cat_1(A,B,E,C,k9_index_1(B,D,E))) ) ) ) ) ) )).
fof(t23_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r3_pua2mss1(A,B,C,D) => ! [E] : ( l3_msualg_1(E,B) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_subset_1(G,u4_struct_0(B)) => ( G = k1_funct_1(D,F) => k5_msualg_1(A,F,k1_instalg1(A,B,E,C,D)) = k5_msualg_1(B,G,E) ) ) ) ) ) ) ) ) ) )).
fof(t23_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(B,A) & r1_xxreal_0(C,A) ) => ( r1_xxreal_0(B,k6_xcmplx_0(A,1)) | r1_xxreal_0(C,k6_xcmplx_0(A,1)) | B = C ) ) ) ) ) )).
fof(t23_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ~ ( ~ ( A = k5_numbers & B = k5_numbers ) & ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ~ ( A = k3_xcmplx_0(k3_int_2(A,B),C) & B = k3_xcmplx_0(k3_int_2(A,B),D) & r1_int_2(C,D) ) ) ) ) ) ) )).
fof(t23_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(C,k5_numbers) => ( k4_nat_d(A,C) = k4_nat_d(B,C) <=> r1_int_1(C,k6_xcmplx_0(A,B)) ) ) ) ) ) )).
fof(t23_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v1_int_1(C) => ~ ( ~ r1_xxreal_0(B,2) & k3_int_2(A,B) = 1 & k3_int_2(C,B) = 1 & r1_int_5(A,B) & ~ r1_int_5(C,B) & r1_int_5(k3_xcmplx_0(A,C),B) ) ) ) ) )).
fof(t23_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v2_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & v1_finseq_1(A) ) => k19_rvsum_1(A) = k5_numbers ) )).
fof(t23_int_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => k7_group_1(k3_int_7(A)) = k6_xcmplx_0(A,1) ) )).
fof(t23_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( r2_tarski(B,k1_relset_1(k4_ordinal1,k14_finseq_1(k2_int_8(A)))) & r2_tarski(C,k1_relset_1(k4_ordinal1,k14_finseq_1(k2_int_8(A)))) & B != C & r2_int_1(k1_funct_1(k14_finseq_1(k2_int_8(A)),B),k1_funct_1(k14_finseq_1(k2_int_8(A)),C),A) ) ) ) ) )).
fof(t23_integr11,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( B = k1_rcomp_1(k5_numbers,k3_xcmplx_0(2,k28_sin_cos)) => k2_integra5(B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A)),k16_sin_cos)) = k5_numbers ) ) ) )).
fof(t23_integr12,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v3_rcomp_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(C,G) & r1_tarski(G,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,G) => ( k1_funct_1(E,H) = k2_xcmplx_0(k3_xcmplx_0(A,H),B) & k1_funct_1(F,H) = 1 ) ) ) & G = k1_relset_1(k1_numbers,D) & r2_relset_1(k1_numbers,k1_numbers,D,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_sin_cos6,A),k3_rfunct_1(k1_numbers,k1_numbers,E,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k1_taylor_1(2)),k4_taylor_1(k7_xcmplx_0(1,2)))))) ) => k2_integra5(C,D) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos6),k2_seq_4(C)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos6),k3_seq_4(C))) ) ) ) ) ) ) ) ) )).
fof(t23_integr13,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos))) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos)),A),B) = k7_xcmplx_0(k1_funct_1(k22_sin_cos,k1_funct_1(k27_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t23_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,B) & r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k3_taylor_1))) & B = k1_relset_1(k1_numbers,k26_sin_cos) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,A)) ) => k2_integra5(A,k26_sin_cos) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k3_taylor_1),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fdiff_9,k3_taylor_1),k3_seq_4(A))) ) ) ) )).
fof(t23_integr15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_euclid(A)))) ) => ! [E] : ( v1_xreal_0(E) => ( r2_tarski(C,k1_relset_1(B,k9_integr15(A,E,B,D))) => k7_partfun1(k1_euclid(A),k9_integr15(A,E,B,D),C) = k9_euclid(A,k7_partfun1(k1_euclid(A),D,C),E) ) ) ) ) )).
fof(t23_integr16,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k2_numbers))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( B = k1_rcomp_1(D,C) => k4_xcmplx_0(k7_integr16(B,A)) = k8_integr16(C,D,A) ) ) ) ) ) )).
fof(t23_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v8_ordinal1(E) & m1_subset_1(E,k4_ordinal1) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integr15(E,k3_integra5(A,B),F) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(E,k1_numbers,F)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(E),F,k3_integra5(A,B)),E) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( r1_integra5(k3_integra5(C,D),k1_nfcont_4(E,k1_numbers,F)) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,k1_nfcont_4(E,k1_numbers,F),k3_integra5(C,D))) & r1_xxreal_0(k12_euclid(k12_integr15(C,D,E,F)),k4_integra5(C,D,k1_nfcont_4(E,k1_numbers,F))) & r1_xxreal_0(k12_euclid(k12_integr15(D,C,E,F)),k4_integra5(C,D,k1_nfcont_4(E,k1_numbers,F))) ) ) ) ) ) ) ) ) )).
fof(t23_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v5_rlvect_1(F) & v6_rlvect_1(F) & v7_rlvect_1(F) & v8_rlvect_1(F) & v3_normsp_0(F) & v4_normsp_0(F) & v2_normsp_1(F) & v3_lopban_1(F) & l1_normsp_1(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(F)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k6_integr18(F,k4_vfunct_1(k1_numbers,F,G,E),C,D) = k1_rlvect_1(F,k6_integr18(F,G,C,D),E) ) ) ) ) ) ) ) ) )).
fof(t23_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => k18_rvsum_1(k5_integra1(A,k7_rfunct_1(A,A),B)) = k3_integra1(A) ) ) )).
fof(t23_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) ) => ! [E] : ( m1_integra1(E,C) => ( ( r2_tarski(B,k4_finseq_1(E)) & v1_seq_2(k2_partfun1(C,k1_numbers,D,C)) & r1_xxreal_0(k5_numbers,A) ) => k1_funct_1(k4_integra1(C,k26_valued_1(C,k1_numbers,D,A),E),B) = k3_xcmplx_0(A,k1_funct_1(k4_integra1(C,D,E),B)) ) ) ) ) ) ) )).
fof(t23_integra4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(A,k1_numbers,B,A)) & v3_integra1(B,A) ) => ( v3_integra1(k56_valued_1(A,k1_numbers,B),A) & r1_xxreal_0(k9_complex1(k12_integra1(A,B)),k12_integra1(A,k56_valued_1(A,k1_numbers,B))) ) ) ) ) )).
fof(t23_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,k3_integra5(C,D)) => r1_xxreal_0(k9_complex1(k1_funct_1(F,G)),E) ) ) ) => ( r1_xxreal_0(k9_complex1(k4_integra5(C,D,F)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) & r1_xxreal_0(k9_complex1(k4_integra5(D,C,F)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) ) ) ) ) ) ) ) ) )).
fof(t23_integra7,axiom,( r1_integra7(k1_numbers,k16_sin_cos,k18_sin_cos) )).
fof(t23_integra8,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,k9_xtuple_0(k32_valued_1(k1_numbers,k1_numbers,A))) & r2_fdiff_1(A,B) ) => ( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,A),B) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,B) => k1_funct_1(k2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,A),B),C) = k4_xcmplx_0(k1_fdiff_1(A,C)) ) ) ) ) ) ) )).
fof(t23_integra9,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => r2_relset_1(D,k1_numbers,k20_valued_1(D,k1_numbers,k1_numbers,k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),D),k1_integra5(C,D)),k20_valued_1(D,k1_numbers,k1_numbers,k1_integra5(A,D),k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),D))) ) ) ) ) )).
fof(t23_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_interva1(D,A) ) => r1_interva1(A,k4_interva1(A,k4_interva1(A,B,C),D),k4_interva1(A,B,k4_interva1(A,C,D))) ) ) ) ) )).
fof(t23_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => ( r2_tarski(k3_intpro_1(A,k3_intpro_1(B,C)),k8_intpro_1) => r2_tarski(k3_intpro_1(B,k3_intpro_1(A,C)),k8_intpro_1) ) ) ) ) )).
fof(t23_irrat_1,axiom,( v1_series_1(k5_irrat_1) & k4_series_1(k5_irrat_1) = k23_sin_cos(1) )).
fof(t23_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( r2_nattra_1(A,B,D,E) => ! [F] : ( m2_nattra_1(F,A,B,D,E) => ! [G] : ( m2_cat_1(G,B,C) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_nattra_1(A,C,k9_cat_1(A,B,C,D,G),k9_cat_1(A,B,C,E,G),k4_isocat_1(A,B,C,D,E,F,G),H) = k9_cat_3(B,k8_cat_1(A,B,D,H),k8_cat_1(A,B,E,H),C,G,k2_nattra_1(A,B,D,E,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(t23_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m2_cat_1(E,k6_cat_2(A,B),C) => ( r2_nattra_1(k6_cat_2(A,B),C,D,E) => ! [F] : ( m2_nattra_1(F,k6_cat_2(A,B),C,D,E) => ( r2_nattra_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) & ? [G] : ( m2_nattra_1(G,A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C)))) ) => ( r1_funct_2(u1_struct_0(k6_cat_2(A,B)),u4_struct_0(C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u4_struct_0(C),F,H) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => k2_nattra_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I) = k4_tarski(k7_cat_2(k9_nattra_1(B,C),k9_nattra_1(B,C),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k8_cat_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k10_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),k9_funct_2(u1_struct_0(B),u4_struct_0(C)),k11_funct_5(u1_struct_0(A),u1_struct_0(B),u4_struct_0(C),H),I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_isomichi(B,A) <=> ( v5_tops_1(k2_pre_topc(A,B),A) & v1_xboole_0(k1_isomichi(A,B)) ) ) ) ) )).
fof(t23_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( r1_jgraph_1(u1_struct_0(k15_euclid(2)),A,B) => r1_tarski(k3_topreal1(2,B),k3_topreal1(2,A)) ) ) ) )).
fof(t23_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( v1_xreal_0(C) => ~ ( v5_pre_topc(B,A,k3_topmetr) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E) = F => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),D,E) = k3_xcmplx_0(C,F) ) ) ) & v5_pre_topc(D,A,k3_topmetr) ) ) ) ) ) ) )).
fof(t23_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( A = a_0_2_jgraph_3 & B = a_0_3_jgraph_3 ) => k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,A) = B ) ) ) )).
fof(t23_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k3_jgraph_4(A),B) & C = a_0_0_jgraph_4 & B = a_1_0_jgraph_4(A) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),C)) ) ) ) ) ) ) )).
fof(t23_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r1_xxreal_0(k5_numbers,k17_euclid(B)) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | r1_xxreal_0(A,k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) | k12_euclid(B) = k5_numbers | ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) => ( r1_xxreal_0(k5_numbers,k17_euclid(C)) & ~ r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) ) ) ) ) )).
fof(t23_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( D = a_3_0_jgraph_6(A,B,C) => ( r1_xxreal_0(C,k5_numbers) | v1_topreal2(D) ) ) ) ) ) ) )).
fof(t23_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k17_euclid(B) = E & k18_euclid(C) = G & k18_euclid(D) = G & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(B),H) & r1_xxreal_0(k17_euclid(C),F) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k18_euclid(B),k18_euclid(A)) | r1_xxreal_0(k17_euclid(D),E) | r1_xxreal_0(k17_euclid(C),k17_euclid(D)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( ~ v8_ordinal1(C) & v1_xreal_0(C) ) => k2_pre_topc(k15_euclid(A),k1_topreal9(A,B,C)) = k2_topreal9(A,B,C) ) ) ) )).
fof(t23_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ( v3_pre_topc(a_1_3_jordan1(A),k15_euclid(2)) & m1_subset_1(a_1_3_jordan1(A),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) )).
fof(t23_jordan12,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) & ? [E] : k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,C),k1_rltopsp1(k15_euclid(2),A,B)) = k1_tarski(E) & ~ r2_tarski(D,k3_topreal1(2,C)) & ~ r1_xboole_0(k3_topreal1(2,C),k1_rltopsp1(k15_euclid(2),A,D)) & ~ r1_xboole_0(k3_topreal1(2,C),k1_rltopsp1(k15_euclid(2),D,B)) ) ) ) ) ) )).
fof(t23_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_jordan1h(A,E) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k1_jordan13(A,E))) & r2_hidden(k4_tarski(B,C),k2_matrix_0(k1_jordan8(A,E))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan13(A,E),D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),B,C) & r1_xxreal_0(k3_finseq_1(k1_jordan8(A,E)),B) ) ) ) ) ) ) )).
fof(t23_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & ~ r1_xxreal_0(A,k5_numbers) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k8_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k9_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k9_jordan6(B)) ) ) ) ) ) ) )).
fof(t23_jordan16,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) & r2_tarski(E,A) & D != B & D != C & E != B & E != C & D != E & ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_topreal1(k15_euclid(2),D,E,F) & r1_tarski(F,A) & r1_subset_1(F,k2_tarski(B,C)) ) ) ) ) ) ) ) ) )).
fof(t23_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan17(A,B,C,D,E) & r1_jordan17(A,E,C,D,B) ) => ( B = C | B = D | C = E | B = E ) ) ) ) ) ) ) )).
fof(t23_jordan18,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( ( v2_compts_1(C,k15_euclid(2)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_tarski(A,k1_jordan2c(2,C)) & r2_tarski(B,k1_jordan2c(2,C)) ) => ( k17_euclid(A) = k17_euclid(B) | r2_zfmisc_1(k1_jordan18(A,C),k2_jordan18(B,C),k1_jordan18(B,C),k2_jordan18(A,C)) ) ) ) ) ) )).
fof(t23_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(D,1) & r1_xxreal_0(D,C) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,E) & r1_xxreal_0(E,F) & r1_xxreal_0(F,k1_matrix_0(k1_jordan8(B,A))) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k1_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k3_topreal1(2,k2_jordan1e(B,A))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F)) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),D,F))),k9_jordan6(B)) ) ) ) ) ) ) ) )).
fof(t23_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & ~ v3_funct_1(C) & v1_finseq_6(C,u1_struct_0(k15_euclid(2))) & v1_topreal1(C) & v2_topreal1(C) & v1_goboard5(C) & v2_goboard5(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(A,k1_matrix_0(B)) ) => r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,C)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B),A))) ) ) ) ) )).
fof(t23_jordan1b,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_matrix_0(A)) & r2_tarski(E,k3_goboard5(A,B,k1_matrix_0(A))) & k18_euclid(E) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,C,D)) ) => ( r1_xxreal_0(k3_finseq_1(A),B) | k1_matrix_0(A) = D ) ) ) ) ) ) ) )).
fof(t23_jordan1c,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(B,k1_jordan2c(2,A)) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(D,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(A,C)),D) & ~ r1_xxreal_0(E,1) & ~ r1_xxreal_0(k1_matrix_0(k1_jordan8(A,C)),E) & k17_euclid(B) != k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,C),D,E)) & r2_tarski(B,k3_goboard5(k1_jordan8(A,C),D,E)) & r1_tarski(k3_goboard5(k1_jordan8(A,C),D,E),k1_jordan2c(2,A)) ) ) ) ) ) ) ) )).
fof(t23_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(k1_jordan8(B,A))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,k1_matrix_0(k1_jordan8(B,A))),k10_xtuple_0(k1_jordan9(B,A))) ) ) ) )).
fof(t23_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => r1_xxreal_0(k4_finseq_4(k1_jordan1e(B,A),k21_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))),k4_finseq_4(k1_jordan1e(B,A),k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))))) ) ) )).
fof(t23_jordan1h,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(B)) ) => k1_gobrd13(B,k2_goboard2(B),A) = k4_goboard5(B,A) ) ) ) )).
fof(t23_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k22_pscomp_1(k3_topreal1(2,A)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(D,k1_nat_1(E,1)),k2_matrix_0(B)) & r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,k1_nat_1(E,1)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) ) ) ) ) ) ) ) )).
fof(t23_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(k7_pscomp_1(A),k7_pscomp_1(B)) => k7_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)),A,B)) = k7_pscomp_1(B) ) ) ) )).
fof(t23_jordan1k,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k1_topreal6(2,k5_algstr_0(k15_euclid(2),B,A),k5_algstr_0(k15_euclid(2),C,A)) = k1_topreal6(2,B,C) ) ) ) )).
fof(t23_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r1_jordan5c(A,B,C,D,E) & r1_jordan5c(A,B,C,E,F) ) => k9_subset_1(u1_struct_0(k15_euclid(2)),k5_jordan6(A,B,C,D,E),k5_jordan6(A,B,C,E,F)) = k1_tarski(E) ) ) ) ) ) ) ) )).
fof(t23_jordan21,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_tarski(B,A) & r2_tarski(k18_pscomp_1(A),B) & r2_tarski(k22_pscomp_1(A),B) & ~ r1_tarski(k8_jordan6(A),B) & ~ r1_tarski(k9_jordan6(A),B) ) ) ) )).
fof(t23_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k18_euclid(k1_jordan21(k8_jordan6(k3_topreal1(2,k1_jordan9(A,B))))),k18_euclid(k1_jordan21(A))) ) ) ) )).
fof(t23_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_tarski(k4_finseq_1(A),k4_finseq_1(k3_graph_2(A,B))) ) ) )).
fof(t23_jordan2b,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k1_jordan2b(A) = k1_jordan2b(B) => A = B ) ) ) )).
fof(t23_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r2_jordan2c(A,B,C) => r1_tarski(C,k2_jordan2c(A,B)) ) ) ) ) )).
fof(t23_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) => ( k1_funct_1(k2_jordan3(A,B),1) = B & ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(k2_jordan3(A,B))) => ( r1_xxreal_0(C,1) | ( ( B = k1_funct_1(A,k1_nat_1(k1_jordan3(A,B),1)) => k1_funct_1(k2_jordan3(A,B),C) = k1_funct_1(A,k2_xcmplx_0(k1_jordan3(A,B),C)) ) & ( B != k1_funct_1(A,k1_nat_1(k1_jordan3(A,B),1)) => k1_funct_1(k2_jordan3(A,B),C) = k1_funct_1(A,k6_xcmplx_0(k2_xcmplx_0(k1_jordan3(A,B),C),1)) ) ) ) ) ) ) ) ) ) )).
fof(t23_jordan4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( k1_jordan4(A,B) = k1_jordan4(k1_nat_1(A,k7_nat_d(k3_finseq_1(B),1)),B) & k1_jordan4(A,B) = k1_jordan4(k2_xcmplx_0(k7_nat_d(k3_finseq_1(B),1),A),B) ) ) ) )).
fof(t23_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( A = B => ( v2_rcomp_1(A) <=> v4_pre_topc(B,k3_topmetr) ) ) ) ) )).
fof(t23_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( B != k1_funct_1(A,k3_finseq_1(A)) & r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & v4_topreal1(A) & ~ r2_tarski(B,k3_topreal1(2,k2_jordan3(A,C))) & ~ r2_tarski(C,k3_topreal1(2,k2_jordan3(A,B))) ) ) ) ) )).
fof(t23_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ( ( v4_topreal1(A) & r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => r1_jordan5c(k3_topreal1(2,A),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(B,1))) ) ) ) )).
fof(t23_jordan5d,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_4_jordan5d(A) => k3_seq_4(B) = k1_pscomp_1(k1_pre_topc(k15_euclid(2),k3_topreal1(2,A)),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k3_topreal1(2,A))) ) ) ) )).
fof(t23_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => k4_jordan6(A,B,C,C) = k1_tarski(C) ) ) ) ) )).
fof(t23_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(2,k3_finseq_1(B)) & r1_xxreal_0(2,k1_matrix_0(B)) & r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r1_xxreal_0(1,A) & r1_xxreal_0(k1_nat_1(A,1),k3_finseq_1(C)) & r2_tarski(D,k9_matrix_0(B)) & r2_tarski(D,k2_topreal1(2,C,A)) & D != k7_partfun1(u1_struct_0(k15_euclid(2)),C,A) & D != k7_partfun1(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1)) ) ) ) ) ) )).
fof(t23_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,A) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(B)) & r2_tarski(C,k2_jordan_a(A,D,B)) ) ) ) ) ) ) )).
fof(t23_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_lattices(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),C) => ! [D] : ( v3_ordinal1(D) => r3_lattices(A,k6_knaster(A,B,C,D),C) ) ) ) ) ) )).
fof(t23_kurato_0,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & v3_kurato_0(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( r2_tarski(C,k4_kurato_0(A,B)) <=> ? [D] : ( v7_ordinal1(D) & ! [E] : ( v7_ordinal1(E) => r2_tarski(C,k1_funct_1(B,k2_xcmplx_0(D,E))) ) ) ) ) )).
fof(t23_kurato_1,axiom,( k1_tops_1(k3_topmetr,k6_kurato_1) = k4_subset_1(k1_numbers,k2_rcomp_1(4,5),k2_rcomp_1(5,k1_xxreal_0)) )).
fof(t23_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,D) = C ) => k1_kurato_2(A,B) = k2_pre_topc(A,C) ) ) ) ) )).
fof(t23_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r2_tarski(C,k2_finseq_1(A)) & r2_tarski(D,k2_finseq_1(A)) ) => ! [E] : ( m1_subset_1(E,k5_finsub_1(k9_matrix_1(A))) => ( E = a_3_1_laplace(A,C,D) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => k7_setwiseo(k9_matrix_1(A),u1_struct_0(B),u1_algstr_0(B),E,k11_matrix_3(A,B,F)) = k8_group_1(B,k3_matrix_0(u1_struct_0(B),F,C,D),k6_laplace(C,D,A,B,F)) ) ) ) ) ) ) ) ) )).
fof(t23_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_group_4(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_group_4(A))) => ( ( D = B & E = C ) => k4_lattices(k11_group_4(A),D,E) = k10_group_2(A,B,C) ) ) ) ) ) ) )).
fof(t23_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B))) => ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) & r1_orders_2(k1_latsum_1(A,B),C,D) & r2_tarski(D,u1_struct_0(A)) ) => r2_tarski(C,u1_struct_0(A)) ) ) ) ) ) )).
fof(t23_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k1_lattices(A,B,C) = C <=> k2_lattices(A,B,C) = B ) ) ) ) )).
fof(t23_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) ) ) )).
fof(t23_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r4_lattice3(B,C,A) <=> r3_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B)) ) ) ) )).
fof(t23_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => k4_lattices(A,k2_lattice4(A,B),k2_lattice4(A,C)) = k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)) ) ) ) )).
fof(t23_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) ) => ! [C] : ( v3_ordinal1(C) => ( ( v4_ordinal1(C) & k9_xtuple_0(B) = C & ! [D] : ( v3_ordinal1(D) => ( r2_tarski(D,C) => k1_funct_1(B,D) = k8_lattice5(A,D) ) ) ) => ( C = k5_numbers | k8_lattice5(A,C) = k3_tarski(k10_xtuple_0(B)) ) ) ) ) ) )).
fof(t23_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v8_lattice6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => C = k15_lattice3(A,a_3_0_lattice6(A,B,C)) ) ) ) ) )).
fof(t23_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => r1_relset_1(k2_zfmisc_1(A,A),u1_struct_0(B),C,k6_lattice8(A,B,C,D,E)) ) ) ) ) ) )).
fof(t23_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => B = k1_setfam_1(a_2_1_latticea(A,B)) ) ) )).
fof(t23_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_lattices(A,k4_lattices(A,B,C)) = k3_lattices(A,k7_lattices(A,B),k7_lattices(A,C)) ) ) ) )).
fof(t23_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ! [E] : ( ( r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & r2_tarski(E,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) ) => ( r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,B,C),E),k1_recdef_1(k5_lexbfs(A,B,C),D)) | r2_tarski(E,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,k7_nat_d(k39_glib_000(B),k1_recdef_1(k5_lexbfs(A,B,C),D))))) ) ) ) ) ) )).
fof(t23_lfuzzy_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v5_relat_1(E,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),k1_numbers))) ) => ! [F] : ( ( v5_relat_1(F,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),k1_numbers))) ) => ! [G] : ( ( v5_relat_1(G,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,D),k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,D),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,D),k1_numbers,k3_fuzzy_4(A,C,D,k3_fuzzy_4(A,B,C,E,F),G),k3_fuzzy_4(A,B,D,E,k3_fuzzy_4(B,C,D,F,G))) ) ) ) ) ) ) ) )).
fof(t23_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k3_fuzzy_4(A,A,A,B,k4_fuzzy_4(A,A)),B) ) ) )).
fof(t23_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v2_limfunc1(A) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => r1_xxreal_0(C,k1_funct_1(B,D)) ) ) ) | v2_limfunc1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) ) )).
fof(t23_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc2(B,A) | r3_limfunc2(B,A) ) => r2_limfunc2(k56_valued_1(k1_numbers,k1_numbers,B),A) ) ) ) )).
fof(t23_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(A,C) & ~ r1_xxreal_0(D,A) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(E,C) & ~ r1_xxreal_0(A,E) & r2_hidden(E,k9_xtuple_0(B)) & ~ r1_xxreal_0(D,F) & ~ r1_xxreal_0(F,A) & r2_hidden(F,k9_xtuple_0(B)) ) ) ) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) & ~ v2_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & ~ v2_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(A,k2_xcmplx_0(A,C)))) ) ) | r3_limfunc3(B,A) ) ) ) ) )).
fof(t23_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( r1_lmod_6(A,k2_vectsp_5(A,B,C,D),C) & r1_lmod_6(A,k2_vectsp_5(A,B,C,D),D) ) ) ) ) ) )).
fof(t23_lmod_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( ~ v2_struct_0(k17_lmod_7(A,B,C)) & v13_algstr_0(k17_lmod_7(A,B,C)) & v7_vectsp_1(k17_lmod_7(A,B,C),A) & v8_vectsp_1(k17_lmod_7(A,B,C),A) & v9_vectsp_1(k17_lmod_7(A,B,C),A) & v10_vectsp_1(k17_lmod_7(A,B,C),A) & v11_vectsp_1(k17_lmod_7(A,B,C),A) & v2_rlvect_1(k17_lmod_7(A,B,C)) & v3_rlvect_1(k17_lmod_7(A,B,C)) & v4_rlvect_1(k17_lmod_7(A,B,C)) & l1_vectsp_1(k17_lmod_7(A,B,C),A) ) ) ) ) )).
fof(t23_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => m1_rlsub_1(g1_rlvect_1(k10_lopban_1(A,B),k7_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k5_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k6_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))),k8_lopban_1(A,B)) ) ) )).
fof(t23_lopban_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k5_struct_0(k9_lopban_2(A)) = k6_lopban_2(A) ) )).
fof(t23_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_seq_2(k3_series_1(k5_normsp_0(A,B))) <=> v2_lopban_3(B,A) ) ) ) )).
fof(t23_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k7_lopban_4(k1_nat_1(D,1),A,C,B)),D) = k3_rlvect_1(A,k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k7_lopban_4(D,A,C,B)),D),k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k6_lopban_4(k1_nat_1(D,1),A,C,B)),D)) ) ) ) ) )).
fof(t23_lopclset,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ( r2_tarski(A,k10_lopclset(B)) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & k3_funct_2(u1_struct_0(B),k9_setfam_1(k7_lopclset(B)),k9_lopclset(B),C) = A ) ) ) )).
fof(t23_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( r1_lpspacc1(A,B,C,D,E) => r1_lpspacc1(A,B,C,E,D) ) ) ) ) ) ) )).
fof(t23_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r2_tarski(D,k9_lpspace1(A,B,C)) & r2_tarski(E,k9_lpspace1(A,B,C)) ) => r2_tarski(k3_valued_1(A,k1_numbers,k1_numbers,D,E),k9_lpspace1(A,B,C)) ) ) ) ) ) ) )).
fof(t23_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v2_xxreal_0(D) & v1_xreal_0(D) ) => ( v1_funct_1(k8_lpspace1(A,k5_numbers)) & m1_subset_1(k8_lpspace1(A,k5_numbers),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) & r2_tarski(k8_lpspace1(A,k5_numbers),k1_lpspace2(A,B,C,D)) ) ) ) ) ) )).
fof(t23_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_zfmisc_1(k10_ltlaxio1)))) ) => ( r1_ltlaxio1(B,A) <=> r2_ltlaxio1(B,k6_domain_1(k1_hilbert1,A)) ) ) ) )).
fof(t23_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k3_ltlaxio1),A)) ) )).
fof(t23_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( r2_tarski(A,k5_ltlaxio3(B)) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A),k5_ltlaxio3(B)) ) ) ) )).
fof(t23_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) => ( ( r2_tarski(C,k9_ltlaxio4(B)) & r1_tarski(k10_ltlaxio3(B),k5_setfam_1(k1_hilbert1,k7_ltlaxio3(k10_ltlaxio3(A)))) ) => r1_tarski(k10_ltlaxio3(C),k5_setfam_1(k1_hilbert1,k7_ltlaxio3(k10_ltlaxio3(A)))) ) ) ) ) )).
fof(t23_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,B,k5_cqc_lang(A)),k4_cqc_the1(A)) ) ) )).
fof(t23_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A,B,k6_rusub_4(A,C,D)) = k3_mathmorp(A,k3_mathmorp(A,B,C),D) ) ) ) ) )).
fof(t23_matrix10,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,k1_numbers,B,B) & m2_finseq_1(C,k3_finseq_2(k1_numbers)) ) => ( v2_matrix10(C) => ( r1_xxreal_0(A,k5_numbers) | v2_matrix10(k6_matrix10(B,A,C)) ) ) ) ) ) )).
fof(t23_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(k1_nat_1(A,2))) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v12_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ( ( v6_matrix_1(B,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) => k2_matrix11(A,C,B) = k1_group_1(C) ) & ( k2_matrix11(A,C,B) = k1_group_1(C) => v6_matrix_1(B,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) & ( ~ v6_matrix_1(B,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) => k2_matrix11(A,C,B) = k4_algstr_0(C,k1_group_1(C)) ) & ~ ( k2_matrix11(A,C,B) = k4_algstr_0(C,k1_group_1(C)) & v6_matrix_1(B,k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))) ) ) ) ) ) )).
fof(t23_matrix12,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( r2_tarski(A,k4_finseq_1(k3_matrix_1(C,B))) => ( D = k4_struct_0(C) | r1_xxreal_0(B,k5_numbers) | k1_matrix_6(B,C,k5_matrix12(B,B,C,k3_matrix_1(C,B),A,D)) = k5_matrix12(B,B,C,k3_matrix_1(C,B),A,k9_algstr_0(C,D)) ) ) ) ) ) ) )).
fof(t23_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ! [E] : ( m2_finseq_2(E,k4_ordinal1,k4_finseq_2(C,k4_ordinal1)) => ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(B,k4_ordinal1)) => ( ( C = 2 & B = 2 ) => k1_matrix13(A,D,C,B,E,F) = k15_matrix_0(A,k3_matrix_0(A,D,k1_funct_1(E,1),k1_funct_1(F,1)),k3_matrix_0(A,D,k1_funct_1(E,1),k1_funct_1(F,2)),k3_matrix_0(A,D,k1_funct_1(E,2),k1_funct_1(F,1)),k3_matrix_0(A,D,k1_funct_1(E,2),k1_funct_1(F,2))) ) ) ) ) ) ) ) )).
fof(t23_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k3_finseq_1(k3_matrix14(A,B,C)) = B ) ) ) )).
fof(t23_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(B),A,A) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(B))) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ( ( v3_matrix16(E,u1_struct_0(B)) & v3_matrix16(F,u1_struct_0(B)) ) => v3_matrix16(k3_matrix_3(B,k2_matrix13(A,A,B,E,C),k2_matrix13(A,A,B,F,D)),u1_struct_0(B)) ) ) ) ) ) ) ) )).
fof(t23_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ( ~ r1_xxreal_0(A,k5_numbers) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,C,A,B) & m2_finseq_1(D,k3_finseq_2(C)) ) => ( k3_finseq_1(D) = A & k1_matrix_0(D) = B & k2_matrix_0(D) = k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(B)) ) ) ) ) ) ) )).
fof(t23_matrix_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,B,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(A)) => ! [I] : ( m1_subset_1(I,k5_finsub_1(B)) => ( ( v1_binop_1(D,C) & v2_binop_1(D,C) & v1_binop_1(E,C) ) => ( ( k8_matrix_3(B,A,I,H) = k1_xboole_0 & ~ v1_setwiseo(D,C) ) | k7_setwiseo(k2_zfmisc_1(A,B),C,D,k8_matrix_3(A,B,H,I),k9_matrix_3(A,B,C,E,F,G)) = k7_setwiseo(k2_zfmisc_1(B,A),C,D,k8_matrix_3(B,A,I,H),k9_matrix_3(B,A,C,E,G,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) ) => k3_matrix_3(A,B,D) = k3_matrix_3(A,k3_matrix_3(A,B,C),k1_matrix_4(A,D,C)) ) ) ) ) ) )).
fof(t23_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k2_numbers)) ) => ( k1_matrix_0(A) = k3_finseq_1(B) => ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) | r1_xxreal_0(k3_finseq_1(B),k5_numbers) | k6_matrix_5(k8_matrix_5(k3_finseq_1(A),k1_matrix_0(A)),B) = k8_matrix_5(k3_finseq_1(A),k1_matrix_0(B)) ) ) ) ) )).
fof(t23_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => k4_matrix_0(u1_struct_0(B),k3_matrix_3(B,C,D)) = k3_matrix_3(B,k4_matrix_0(u1_struct_0(B),C),k4_matrix_0(u1_struct_0(B),D)) ) ) ) ) )).
fof(t23_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k4_matrix_7(A,k13_matrix_0(u1_struct_0(A),B)) = k13_matrix_0(u1_struct_0(A),k2_group_1(A,B)) ) ) )).
fof(t23_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v2_matrix_8(C,A,B) & r1_matrix_6(A,B,C,D) ) => ( r1_xxreal_0(A,k5_numbers) | v2_matrix_8(k4_matrix_3(B,C,D),A,B) ) ) ) ) ) ) )).
fof(t23_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),3,3) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ( K = k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A))),k3_finseq_4(u1_struct_0(A),B,C,D),k3_finseq_4(u1_struct_0(A),E,F,G),k3_finseq_4(u1_struct_0(A),H,I,J)) => ! [L] : ( m1_matrix_1(L,k9_matrix_1(3)) => ( L = k3_finseq_4(k4_ordinal1,2,3,1) => k10_matrix_3(3,A,K,L) = k3_finseq_4(u1_struct_0(A),C,G,H) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ( r1_xxreal_0(1,k3_finseq_1(A)) => k17_rvsum_1(k1_complsp2(A)) = k8_complex1(k17_rvsum_1(A)) ) ) )).
fof(t23_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,A,k1_wsierp_1(k10_matrixj1(A,k5_matrixj1(A,C,D))),k1_wsierp_1(k11_matrixj1(A,k5_matrixj1(A,C,D)))) & m2_finseq_1(E,k3_finseq_2(A)) ) => ( E = k13_matrixj1(A,B,k5_matrixj1(A,C,D)) <=> ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k4_finseq_1(C)) => k7_matrix_0(A,E,F) = k8_finseq_1(A,k7_matrix_0(A,C,F),k5_finseq_2(A,k1_matrix_0(D),B)) ) & ( r2_tarski(F,k4_finseq_1(D)) => k7_matrix_0(A,E,k1_nat_1(F,k3_finseq_1(C))) = k8_finseq_1(A,k5_finseq_2(A,k1_matrix_0(C),B),k7_matrix_0(A,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t23_matrixj2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,B) & l1_vectsp_1(D,B) ) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v8_vectsp_1(E,B) & v9_vectsp_1(E,B) & v10_vectsp_1(E,B) & v11_vectsp_1(E,B) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v1_matrlin(E,B) & l1_vectsp_1(E,B) ) => ! [F] : ( m1_matrlin(F,B,D) => ! [G] : ( m2_finseq_1(G,u1_struct_0(E)) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),k3_finseq_1(F),k3_finseq_1(G)) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ( H = k2_matrixj2(B,C,A) => ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k4_finseq_1(F)) => ( ( I = k3_finseq_1(F) => k3_funct_2(u1_struct_0(D),u1_struct_0(E),k4_matrlin2(B,D,E,F,G,H),k7_partfun1(u1_struct_0(D),F,I)) = k3_vectsp_1(B,E,C,k7_partfun1(u1_struct_0(E),G,I)) ) & ( I != k3_finseq_1(F) => k3_funct_2(u1_struct_0(D),u1_struct_0(E),k4_matrlin2(B,D,E,F,G,H),k7_partfun1(u1_struct_0(D),F,I)) = k3_rlvect_1(E,k3_vectsp_1(B,E,C,k7_partfun1(u1_struct_0(E),G,I)),k7_partfun1(u1_struct_0(E),G,k1_nat_1(I,1))) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_matrixr1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(B)) ) => ( C = D => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ( r2_hidden(k4_tarski(E,F),k2_matrix_0(C)) => k3_matrix_0(A,C,E,F) = k3_matrix_0(B,D,E,F) ) ) ) ) ) ) )).
fof(t23_matrixr2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => k10_matrixr1(k8_rvsum_1(A,B)) = k5_matrixr1(k10_matrixr1(A),k10_matrixr1(B)) ) ) ) )).
fof(t23_matrlin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,E,D,A) & m2_finseq_1(F,k3_finseq_2(E)) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,E,C,A) & m2_finseq_1(G,k3_finseq_2(E)) ) => ( r2_tarski(B,k9_xtuple_0(F)) => k7_matrix_0(E,k8_matrlin(E,D,C,A,F,G),B) = k7_matrix_0(E,F,B) ) ) ) ) ) ) ) ) )).
fof(t23_matrlin2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,B) & l1_vectsp_1(C,B) ) => ! [D] : ( m1_matrlin(D,B,C) => ( v1_vectsp_7(k10_xtuple_0(k2_rfinseq(u1_struct_0(C),A,D)),B,C) & m1_subset_1(k10_xtuple_0(k2_rfinseq(u1_struct_0(C),A,D)),k1_zfmisc_1(u1_struct_0(C))) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ( E = k10_xtuple_0(k2_rfinseq(u1_struct_0(C),A,D)) => m1_matrlin(k2_rfinseq(u1_struct_0(C),A,D),B,k1_vectsp_7(B,C,E)) ) ) ) ) ) ) ) )).
fof(t23_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_matroid0(C,A) & r1_tarski(B,C) ) ) ) )).
fof(t23_matrprob,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(A) = k5_numbers => k5_matrprob(A) = k5_numbers ) ) )).
fof(t23_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) & v3_valued_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => k1_funct_1(k3_matrtop1(A,B,E),k10_rvsum_1(D,C)) = k10_rvsum_1(k1_funct_1(k3_matrtop1(A,B,E),D),C) ) ) ) ) ) )).
fof(t23_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ! [D] : ( ( v1_rlvect_3(D,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k8_matrix13(k2_vectsp_1,C) = A => v1_rlvect_3(k2_ranknull(k15_euclid(A),k15_euclid(B),k3_matrtop1(A,B,C),D),k15_euclid(B)) ) ) ) ) ) )).
fof(t23_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k2_tops_2(u1_struct_0(A),u1_struct_0(A),k1_mazurulm(A,B)),k1_mazurulm(A,B)) ) ) )).
fof(t23_mboolean,axiom,( ! [A] : ! [B] : r6_pboole(B,k2_mboolean(B,k7_funcop_1(B,k1_tarski(A))),k7_funcop_1(B,A)) )).
fof(t23_mcart_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : k2_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(k4_tarski(A,C),k4_tarski(A,D),k4_tarski(B,C),k4_tarski(B,D)) )).
fof(t23_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ~ v1_xboole_0(k4_measure1(A,B,C)) & v4_card_3(k4_measure1(A,B,C)) & m1_subset_1(k4_measure1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) )).
fof(t23_measure2,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ( ! [E] : ( v7_ordinal1(E) => r1_tarski(k8_nat_1(B,D,E),k8_nat_1(B,D,k1_nat_1(E,1))) ) => k1_funct_1(C,k5_setfam_1(A,k4_measure1(A,B,D))) = k8_supinf_2(k15_supinf_2(k1_partfun1(k4_ordinal1,B,B,k6_numbers,D,C))) ) ) ) ) )).
fof(t23_measure6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( v1_xreal_0(B) => k1_measure6(k1_measure6(A,B),k4_xcmplx_0(B)) = A ) ) )).
fof(t23_measure8,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ! [C] : ( v7_ordinal1(C) => ( ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => r1_xxreal_0(k8_nat_1(k6_numbers,A,D),k8_nat_1(k6_numbers,B,D)) ) ) => r1_xxreal_0(k8_nat_1(k6_numbers,k16_supinf_2(A),C),k8_nat_1(k6_numbers,k16_supinf_2(B),C)) ) ) ) ) )).
fof(t23_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => k6_member_1(k2_xboole_0(A,B)) = k2_xboole_0(k6_member_1(A),k6_member_1(B)) ) ) )).
fof(t23_membered,axiom,( ! [A] : ! [B] : ( v5_membered(B) => ( r1_tarski(A,B) => v5_membered(A) ) ) )).
fof(t23_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v4_memstr_0(C,A,B) ) => ! [D] : ( v7_ordinal1(D) => r1_partfun1(C,k7_memstr_0(A,B,D)) ) ) ) ) )).
fof(t23_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( r2_mesfun6c(A,B,C,D) => r2_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,E)) ) ) ) ) ) ) )).
fof(t23_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & v1_mesfunc8(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k2_numbers,B,k5_numbers))) => ( r2_funct_2(k4_ordinal1,k1_numbers,k10_seqfunc(A,k11_mesfun7c(A,B),C),k7_comseq_3(k9_mesfun7c(A,B,C))) & r2_funct_2(k4_ordinal1,k1_numbers,k10_seqfunc(A,k12_mesfun7c(A,B),C),k8_comseq_3(k9_mesfun7c(A,B,C))) ) ) ) ) ) )).
fof(t23_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ( v1_mesfunc8(D,A,k2_numbers) & r1_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k2_numbers,D,k5_numbers))) & r2_tarski(B,C) & v2_comseq_2(k9_mesfun7c(A,D,B)) ) => v2_comseq_2(k9_mesfun7c(A,k1_mesfun9c(A,k2_numbers,D,C),B)) ) ) ) ) )).
fof(t23_mesfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => k8_nat_1(B,C,F) = k9_subset_1(A,E,k16_mesfunc1(A,D,F)) ) => k9_subset_1(A,E,k18_mesfunc1(A,D,k1_supinf_1)) = k1_measure2(A,B,k1_measure3(A,B,C)) ) ) ) ) )).
fof(t23_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => r2_relset_1(A,k6_numbers,B,k4_mesfunc1(A,k1_mesfunc2(A,B),k2_mesfunc2(A,B))) ) ) )).
fof(t23_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v6_supinf_2(B) & v6_supinf_2(C) & v6_supinf_2(D) ) => ( k1_relset_1(A,k3_mesfunc1(A,k3_mesfunc1(A,B,C),D)) = k9_subset_1(A,k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)),k1_relset_1(A,D)) & v6_supinf_2(k3_mesfunc1(A,k3_mesfunc1(A,B,C),D)) & ! [E] : ( r2_tarski(E,k9_subset_1(A,k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)),k1_relset_1(A,D))) => k12_supinf_2(k3_mesfunc1(A,k3_mesfunc1(A,B,C),D),E) = k3_supinf_2(k3_supinf_2(k12_supinf_2(B,E),k12_supinf_2(C,E)),k12_supinf_2(D,E)) ) ) ) ) ) ) ) )).
fof(t23_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r2_relset_1(A,k6_numbers,k1_mesfunc5(A,k3_valued_1(A,k1_numbers,k1_numbers,B,C)),k3_mesfunc1(A,k1_mesfunc5(A,B),k1_mesfunc5(A,C))) & r2_relset_1(A,k6_numbers,k1_mesfunc5(A,k47_valued_1(A,k1_numbers,k1_numbers,B,C)),k4_mesfunc1(A,k1_mesfunc5(A,B),k1_mesfunc5(A,C))) & k1_relset_1(A,k1_mesfunc5(A,k3_valued_1(A,k1_numbers,k1_numbers,B,C))) = k9_subset_1(A,k1_relset_1(A,k1_mesfunc5(A,B)),k1_relset_1(A,k1_mesfunc5(A,C))) & k1_relset_1(A,k1_mesfunc5(A,k47_valued_1(A,k1_numbers,k1_numbers,B,C))) = k9_subset_1(A,k1_relset_1(A,k1_mesfunc5(A,B)),k1_relset_1(A,k1_mesfunc5(A,C))) & k1_relset_1(A,k1_mesfunc5(A,k3_valued_1(A,k1_numbers,k1_numbers,B,C))) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & k1_relset_1(A,k1_mesfunc5(A,k47_valued_1(A,k1_numbers,k1_numbers,B,C))) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) ) ) ) ) )).
fof(t23_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : k1_mesfunc2(A,k3_mesfunc2(B,A)) = k3_mesfunc2(B,A) ) )).
fof(t23_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,C,E),D) ) ) => r1_mesfunc1(A,B,k6_mesfunc8(A,C),D) ) ) ) ) ) )).
fof(t23_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ~ ( r2_tarski(D,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C))) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C),D) = k1_supinf_1 & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,E),D) = k1_supinf_1 ) ) ) ) ) ) )).
fof(t23_metric_1,axiom,( ! [A] : ( m1_subset_1(A,1) => ! [B] : ( m1_subset_1(B,1) => ! [C] : ( m1_subset_1(C,1) => r1_xxreal_0(k1_binop_1(k2_metric_1,A,C),k2_xcmplx_0(k1_binop_1(k2_metric_1,A,B),k1_binop_1(k2_metric_1,B,C))) ) ) ) )).
fof(t23_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k2_metric_2(A)) => ! [C] : ( m1_subset_1(C,k2_metric_2(A)) => ! [D] : ( m1_subset_1(D,k1_numbers) => ( r2_tarski(D,k3_metric_2(A,B,C)) <=> r4_metric_2(A,B,C,D) ) ) ) ) ) )).
fof(t23_metric_3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k18_metric_3,A,B) = k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k18_metric_3,B,A) ) ) )).
fof(t23_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_funct_1(B) => v2_tbsp_1(B,A) ) ) ) )).
fof(t23_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_finset_1(B) & v1_card_1(B) ) => ! [C] : ( ( v1_cantor_1(C,A) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( v1_tops_2(D,A) & m1_setfam_1(D,u1_struct_0(A)) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ~ ( r1_tarski(E,D) & m1_setfam_1(E,u1_struct_0(A)) & r1_ordinal1(k1_card_1(E),B) ) ) ) ) & ! [D] : ( ( v1_cantor_1(D,A) & v1_tops_2(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( r1_tarski(D,C) & r1_ordinal1(k1_card_1(D),B) ) ) ) ) ) ) )).
fof(t23_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => m1_rlvect_3(k8_euclid_7(A),k15_euclid(A)) ) )).
fof(t23_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( ( r2_midsp_1(A,B,C) & r2_midsp_1(A,C,D) ) => r2_midsp_1(A,B,D) ) ) ) ) ) )).
fof(t23_midsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_midsp_1(A,B,C) = D <=> k8_midsp_1(A,B,D) = k8_midsp_1(A,D,C) ) ) ) ) ) )).
fof(t23_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_midsp_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [F] : ( ( v4_midsp_2(F,B) & l1_midsp_2(F,B) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(u1_midsp_2(B,F))) => ! [H] : ( m2_finseq_2(H,u1_struct_0(u1_midsp_2(B,F)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,F)))) => ( ( k8_midsp_3(A,B,F,C,E) = H & k9_midsp_2(B,F,C,D) = G & k10_midsp_3(A,B,F,H) = G ) => k4_midsp_3(A,B,C,E) = D ) ) ) ) ) ) ) ) ) )).
fof(t23_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k2_mmlquery(A,C,B)) <=> ? [E] : ( m1_subset_1(E,A) & r2_tarski(D,k1_mmlquery(A,C,E)) & r2_tarski(E,B) ) ) ) ) ) )).
fof(t23_mod_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k18_mod_2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k18_mod_2)) => ! [C] : ( m1_subset_1(C,k1_enumset1(k5_numbers,1,2)) => ! [D] : ( m1_subset_1(D,k1_enumset1(k5_numbers,1,2)) => ( ( C = A & D = B ) => ( k1_algstr_0(k18_mod_2,A,B) = k11_mod_2(C,D) & k6_algstr_0(k18_mod_2,A,B) = k12_mod_2(C,D) & k4_algstr_0(k18_mod_2,A) = k10_mod_2(C) ) ) ) ) ) ) )).
fof(t23_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( v1_ringcat1(C,A,B) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_algstr_0(A,D)) = k4_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_algstr_0(A,D,E)) = k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(t23_modal_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ( k1_trees_2(k9_xtuple_0(B),k1_modal_1(k9_xtuple_0(B))) = k6_domain_1(k9_xtuple_0(B),C) => B = k7_trees_2(k8_funcop_1(A,k2_trees_1(1),k2_modal_1(A,B)),k14_trees_3(k5_numbers),k5_trees_2(B,C)) ) ) ) ) )).
fof(t23_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_partfun1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(k30_modelc_1(B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(B,C,E))))) ) => ( r4_modelc_1(B,C,E,F,D,k10_modelc_1(A)) <=> ? [G] : ( m1_modelc_1(G,B,C) & k3_funct_2(k4_ordinal1,B,G,k5_numbers) = D & ! [H] : ( m1_subset_1(H,k4_ordinal1) => r4_modelc_1(B,C,E,F,k3_funct_2(k4_ordinal1,B,G,H),A) ) ) ) ) ) ) ) ) ) )).
fof(t23_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( v5_modelc_2(A) => ( r1_modelc_2(B,A) <=> ( B = k11_modelc_2(A) | B = k12_modelc_2(A) ) ) ) ) ) )).
fof(t23_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ~ ( ~ r1_xxreal_0(k21_modelc_3(A,B),k5_numbers) & u2_modelc_3(A,B) = k7_modelc_3(A) ) ) ) )).
fof(t23_moebius1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ~ v1_moebius1(A) ) )).
fof(t23_moebius2,axiom,( m2_valued_0(k1_moebius2,k1_numbers,k2_moebius2) )).
fof(t23_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m2_monoid_0(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m3_monoid_0(C,A) ) => ( r1_tarski(u1_struct_0(B),u1_struct_0(A)) & r1_tarski(u1_struct_0(C),u1_struct_0(A)) ) ) ) ) )).
fof(t23_monoid_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( v5_group_1(A) => v5_group_1(k9_monoid_1(A,B)) ) & ( v3_group_1(A) => v3_group_1(k9_monoid_1(A,B)) ) & ( v10_monoid_0(A) => v10_monoid_0(k9_monoid_1(A,B)) ) & ( v13_monoid_0(A) => v13_monoid_0(k9_monoid_1(A,B)) ) & ( v16_monoid_0(A) => v16_monoid_0(k9_monoid_1(A,B)) ) & ( v17_monoid_0(A) => v17_monoid_0(k9_monoid_1(A,B)) ) ) ) )).
fof(t23_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( r1_tarski(B,C) => r1_tarski(k1_morph_01(A,D,C),k1_morph_01(A,D,B)) ) ) ) ) ) )).
fof(t23_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_dtconstr(C,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))))),k1_msaterm(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(C,k1_funct_1(k5_msafree3(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),B),D)) => r2_tarski(C,k1_funct_1(u3_msualg_1(A,k1_msafree3(A,B)),D)) ) ) ) ) ) )).
fof(t23_msafree4,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pzfmisc1(A,B,C) => ! [D] : ( m2_pboole(D,A,B,C) => ~ ( v2_msualg_3(D,A,B,C) & ! [E] : ( m2_pboole(E,A,C,B) => ~ r6_pboole(A,k8_pboole(E,D),k2_msualg_3(A,C)) ) ) ) ) ) ) )).
fof(t23_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_relat_1(C) & v2_relat_1(C) & v4_relat_1(C,u1_struct_0(A)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A)) ) => ! [D] : ( ( v5_msafree4(D,A,C) & v6_msafree4(D,A,C) & v7_msafree4(D,A,C) & v8_msafree4(D,A,C) & l3_msualg_1(D,A) ) => ! [E] : ( m1_msafree4(E,u1_struct_0(A),u3_msualg_1(A,D),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,D),B)) => k3_msafree5(A,D,E) = B ) ) ) ) ) )).
fof(t23_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_msaterm(D,A,B,k2_msaterm(A,B,C)) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( F = k1_funct_1(D,E) => ( F = k7_partfun1(k1_msaterm(A,B),D,E) & k7_msaterm(A,B,F) = k1_funct_1(k1_msualg_1(A,C),E) & k7_msaterm(A,B,F) = k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),E) ) ) ) ) ) ) ) ) ) )).
fof(t23_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_relat_1(C) & m1_msafree(C,A,B) ) => ~ ( ~ v4_msafree2(B,A) & v4_msafree2(k11_msafree(A,C),A) ) ) ) ) )).
fof(t23_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ( v2_finset_1(k2_mboolean(A,B)) => ( v2_finset_1(B) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pboole(A,C,B) => v2_finset_1(C) ) ) ) ) ) )).
fof(t23_mssublat,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( u1_struct_0(A) = k1_tarski(k5_numbers) => k6_msualg_1(k12_msualg_1(A,B)) = g1_msualg_1(u1_struct_0(A),u4_struct_0(A),u1_msualg_1(A),u2_msualg_1(A)) ) ) ) )).
fof(t23_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_2(C,A,B) => k11_msualg_2(A,B,k12_msualg_2(A,B,k2_msualg_2(A,B)),C) = k12_msualg_2(A,B,k2_msualg_2(A,B)) ) ) ) )).
fof(t23_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ~ ( r1_msualg_3(A,B,C,D) & ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D))) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,k6_msualg_3(A,B,C,D)),u3_msualg_1(A,C)) => ~ ( r2_msualg_3(A,B,k6_msualg_3(A,B,C,D),E) & r3_msualg_3(A,k6_msualg_3(A,B,C,D),C,F) & r8_pboole(u1_struct_0(A),D,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k6_msualg_3(A,B,C,D)),u3_msualg_1(A,C),E,F)) ) ) ) ) ) ) ) ) )).
fof(t23_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ~ ( r1_msualg_6(A,E,F,B,G) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),F)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),F)))) ) => ~ ( r1_msualg_6(A,E,F,C,H) & k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),F),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),H) = k3_relat_1(G,k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,F)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_msualg_7,axiom,( ? [A] : ( m2_nat_lat(A,k1_msualg_7(k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers))) & v1_msualg_7(A,k1_msualg_7(k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers))) & ~ v2_msualg_7(A,k1_msualg_7(k10_subset_1(k5_numbers,k1_numbers),k10_subset_1(1,k1_numbers))) ) )).
fof(t23_msualg_9,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ! [E] : ( ( v1_relat_1(E) & v2_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ! [F] : ( m2_pboole(F,A,B,k6_pboole(A,D,E)) => ( r1_pboole(A,C,k1_funct_6(F)) => ! [G] : ( r2_tarski(G,A) => k1_funct_1(k16_pralg_1(A,F,C),G) = k4_tarski(k1_funct_1(k16_pralg_1(A,k1_msualg_9(A,B,D,E,F),C),G),k1_funct_1(k16_pralg_1(A,k2_msualg_9(A,B,D,E,F),C),G)) ) ) ) ) ) ) ) )).
fof(t23_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_unialg_2(A,B) & r3_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) => r2_alg_1(A,B,C) ) ) ) ) )).
fof(t23_mycielsk,axiom,( ! [A] : ( ( v1_necklace(A) & v3_dilworth(A) & l1_orders_2(A) ) => k1_dilworth(A) = k2_dilworth(k3_necklace(A)) ) )).
fof(t23_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(A),k1_numbers)),k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(A),k1_numbers)),k9_funct_2(u1_struct_0(A),k1_numbers)))) ) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k1_binop_1(B,C,D) = k3_nagata_1(A,C,D) ) ) => ( v1_setwiseo(B,k9_funct_2(u1_struct_0(A),k1_numbers)) & v1_binop_1(B,k9_funct_2(u1_struct_0(A),k1_numbers)) & v2_binop_1(B,k9_funct_2(u1_struct_0(A),k1_numbers)) ) ) ) ) )).
fof(t23_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( ~ r1_xxreal_0(2,A) & A != k5_numbers & A != 1 ) ) )).
fof(t23_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(A,B) & r1_nat_d(k3_xcmplx_0(2,C),A) ) => ( v1_abian(k3_nat_d(B,C)) <=> v1_abian(k3_nat_d(k7_nat_d(B,A),C)) ) ) ) ) ) )).
fof(t23_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( B != k5_numbers & ~ r1_xxreal_0(A,B) & A != 1 & k11_nat_3(B,A) != k5_numbers ) ) ) )).
fof(t23_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ! [G] : ( m1_subset_1(G,k4_ordinal1) => ~ ( k6_xcmplx_0(A,1) = k2_nat_1(B,k11_newton(C,E)) & ~ r1_xxreal_0(B,k5_numbers) & ~ r1_xxreal_0(E,k5_numbers) & v1_int_2(C) & k4_nat_d(k11_newton(G,k7_nat_d(A,1)),A) = 1 & v1_int_2(F) & r1_nat_d(F,A) & ~ r1_nat_d(F,k7_nat_d(k11_newton(G,k3_nat_d(k7_nat_d(A,1),C)),1)) & k4_nat_d(F,k11_newton(C,E)) != 1 ) ) ) ) ) ) ) ) )).
fof(t23_nat_5,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( v1_int_2(A) & k4_nat_d(A,4) = 1 & ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => A != k1_nat_1(k1_pepin(B),k1_pepin(C)) ) ) ) ) )).
fof(t23_nat_6,axiom,( ~ r1_int_5(2,3) )).
fof(t23_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k2_nat_d(k2_xcmplx_0(A,C),B) = k2_nat_d(k2_xcmplx_0(A,k2_nat_d(C,B)),B) ) ) ) )).
fof(t23_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( ( r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) ) => r2_nattra_1(A,B,C,E) ) ) ) ) ) ) )).
fof(t23_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_tarski(k2_relset_1(u1_struct_0(A),E),k9_subset_1(u1_struct_0(A),k1_relset_1(u1_struct_0(A),C),k1_relset_1(u1_struct_0(A),D))) => ( r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k3_vfunct_2(u1_struct_0(A),B,C,D)),k1_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k2_vfunct_1(u1_struct_0(A),B,C,D)),k2_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) ) ) ) ) ) ) ) )).
fof(t23_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( r5_ncfcont2(A,B,C) => r11_ncfcont1(B,C,A) ) ) ) )).
fof(t23_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_partfun1(C,u1_struct_0(A)) => ( v2_ndiff_1(C,A,B) <=> ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( F != k4_struct_0(A) & ~ r1_xxreal_0(E,k2_normsp_0(A,F)) & r1_xxreal_0(D,k3_xcmplx_0(k5_xcmplx_0(k2_normsp_0(A,F)),k2_normsp_0(B,k7_partfun1(u1_struct_0(B),C,F)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( r2_ndiff_3(A,C,B) => v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),C,B),A) ) ) ) )).
fof(t23_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ( v1_partfun1(B,k1_numbers) => ( v1_ndiff_3(B,k4_real_ns1(A)) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( v1_xreal_0(E) => ~ ( E != k5_numbers & ~ r1_xxreal_0(D,k9_complex1(E)) & r1_xxreal_0(C,k3_xcmplx_0(k5_xcmplx_0(k9_complex1(E)),k2_normsp_0(k4_real_ns1(A),k7_partfun1(u1_struct_0(k4_real_ns1(A)),B,E)))) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k4_finseq_1(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k14_prvect_2(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) => ~ ( v3_nfcont_1(D,k14_prvect_2(A)) & r2_tarski(C,D) & ! [E] : ( m1_nfcont_1(E,k11_prvect_2(A,B),k3_funct_2(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k11_prvect_2(A,B)),k3_ndiff_5(A,B),C)) => ? [F] : ( m1_subset_1(F,u1_struct_0(k11_prvect_2(A,B))) & r2_tarski(F,E) & ~ r2_tarski(k3_funct_2(u1_struct_0(k11_prvect_2(A,B)),u1_struct_0(k14_prvect_2(A)),k4_ndiff_5(A,B,C),F),D) ) ) ) ) ) ) ) )).
fof(t23_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,E,C,D) & r1_ndiff_6(A,B,F,C,D) ) => r1_ndiff_6(A,B,k2_vfunct_1(u1_struct_0(A),B,E,F),C,D) ) ) ) ) ) ) ) )).
fof(t23_ndiff_7,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) => ( ( v3_nfcont_1(F,k14_prvect_2(A)) & r2_tarski(C,k4_finseq_1(A)) & r2_ndiff_5(A,B,C,D,F) & r2_ndiff_5(A,B,C,E,F) ) => ( r2_ndiff_5(A,B,C,k6_vfunct_1(u1_struct_0(k14_prvect_2(A)),B,D,E),F) & r2_relset_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B)),k6_ndiff_5(A,B,C,k6_vfunct_1(u1_struct_0(k14_prvect_2(A)),B,D,E),F),k6_vfunct_1(u1_struct_0(k14_prvect_2(A)),k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B),k6_ndiff_5(A,B,C,D,F),k6_ndiff_5(A,B,C,E,F))) ) ) ) ) ) ) ) )).
fof(t23_neckla_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v1_neckla_2(A) => v1_neckla_2(B) ) ) ) )).
fof(t23_necklace,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ~ v3_orders_3(k4_necklace(A)) ) )).
fof(t23_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ! [C] : ( r1_tarski(C,k2_net_1(A)) => ( r2_tarski(B,k12_net_1(A,C)) <=> ? [D] : ( m1_subset_1(D,k2_net_1(A)) & r2_tarski(D,C) & r2_tarski(B,k5_net_1(A,D)) ) ) ) ) )).
fof(t23_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(1,A) => k3_newton(1,A) = A ) ) )).
fof(t23_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( k6_xcmplx_0(k1_newton(A,k2_xcmplx_0(k3_xcmplx_0(2,D),2)),k1_newton(B,k2_xcmplx_0(k3_xcmplx_0(2,D),2))) = k7_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(k1_newton(A,2),k1_newton(B,2)),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(C,k2_xcmplx_0(k1_newton(A,2),k1_newton(B,2))),k1_newton(A,k3_xcmplx_0(2,D))),k1_newton(B,k3_xcmplx_0(2,D)))),2) <=> k6_xcmplx_0(k1_newton(A,k3_xcmplx_0(2,D)),k1_newton(B,k3_xcmplx_0(2,D))) = k3_xcmplx_0(k6_xcmplx_0(k1_newton(A,2),k1_newton(B,2)),C) ) ) ) ) ) )).
fof(t23_nfcont_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_normsp_1(C) & l1_normsp_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & v3_normsp_0(D) & v4_normsp_0(D) & v2_normsp_1(D) & l1_normsp_1(D) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ( ( r3_nfcont_1(C,D,E,A) & r1_tarski(B,A) ) => r3_nfcont_1(C,D,E,B) ) ) ) ) )).
fof(t23_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( v1_partfun1(B,k1_numbers) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k7_partfun1(u1_struct_0(A),B,k2_xcmplx_0(C,D)) = k3_rlvect_1(A,k7_partfun1(u1_struct_0(A),B,C),k7_partfun1(u1_struct_0(A),B,D)) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ~ r1_nfcont_3(A,B,C) ) | v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),B,k1_numbers),A) ) ) ) ) )).
fof(t23_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( B = C => ( v1_nfcont_3(B,k4_real_ns1(A)) <=> v1_nfcont_4(C,A) ) ) ) ) ) )).
fof(t23_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ( r2_tarski(B,k7_normform(A)) <=> r1_xboole_0(k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),B),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),B)) ) ) )).
fof(t23_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v3_normsp_1(B,A) => v2_comseq_2(k5_normsp_0(A,B)) ) ) ) )).
fof(t23_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_normsp_2(A)))) => ( D = a_3_2_normsp_2(A,B,C) => v3_pre_topc(D,k4_normsp_2(A)) ) ) ) ) ) )).
fof(t23_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ! [D] : ( v7_ordinal1(D) => k1_normsp_0(A,C,D) = B ) => ( v3_normsp_1(C,A) & k5_normsp_1(A,C) = B ) ) ) ) ) )).
fof(t23_numbers,axiom,( k3_numbers != k2_numbers )).
fof(t23_numeral2,axiom,( v1_int_2(29) )).
fof(t23_numpoly1,axiom,( ! [A] : ( v1_numpoly1(A) => ~ r2_int_1(A,9,10) ) )).
fof(t23_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_o_ring_1(B,A) & v1_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t23_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ( ~ v2_struct_0(g3_lattices(k9_openlatt(A),k13_openlatt(A),k14_openlatt(A))) & v10_lattices(g3_lattices(k9_openlatt(A),k13_openlatt(A),k14_openlatt(A))) & l3_lattices(g3_lattices(k9_openlatt(A),k13_openlatt(A),k14_openlatt(A))) ) ) )).
fof(t23_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_cat_1(A,B,C) != k1_xboole_0 => ! [D] : ( m1_cat_1(D,A,B,C) => ( v8_cat_1(k7_oppcat_1(A,B,C,D),k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B)) <=> v7_cat_1(D,A,B,C) ) ) ) ) ) ) )).
fof(t23_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k5_ordeq_01(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k5_ordeq_01(A,B))))) ) => ( ( v3_lopban_1(B) & v1_rsspace3(C,k5_ordeq_01(A,B)) ) => v3_normsp_1(C,k5_ordeq_01(A,B)) ) ) ) ) )).
fof(t23_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r1_xxreal_0(B,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k10_funct_2(u1_struct_0(A),u1_struct_0(A),F,G),k10_funct_2(u1_struct_0(A),u1_struct_0(A),F,H))),k3_xcmplx_0(D,k2_normsp_0(A,k5_algstr_0(A,G,H)))) ) ) ) => ( r1_xxreal_0(D,k5_numbers) | ! [G] : ( m1_subset_1(G,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ! [J] : ( ( v1_funct_1(J) & v1_nfcont_3(J,A) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [K] : ( ( v1_funct_1(K) & v1_nfcont_3(K,A) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( J = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(I,1)),G) & K = k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(I,1)),H) ) => ! [L] : ( v1_xreal_0(L) => ( r2_hidden(L,k3_integra5(B,C)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k7_partfun1(u1_struct_0(A),J,L),k7_partfun1(u1_struct_0(A),K,L))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(L,B)),k1_nat_1(I,1)),k2_newton(k1_nat_1(I,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),G,H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_orders_1(B) ) )).
fof(t23_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_orders_2(A,B,C) <=> r2_tarski(B,k2_orders_2(A,k6_domain_1(u1_struct_0(A),C))) ) ) ) ) )).
fof(t23_ordinal1,axiom,( ! [A] : ( ! [B] : ( r2_hidden(B,A) => v3_ordinal1(B) ) => ( v1_ordinal1(k3_tarski(A)) & v2_ordinal1(k3_tarski(A)) ) ) )).
fof(t23_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => k3_ordinal2(k1_tarski(A)) = k1_ordinal1(A) ) )).
fof(t23_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( r1_ordinal1(k10_ordinal2(A,B),k10_ordinal2(A,C)) => r1_ordinal1(B,C) ) ) ) ) )).
fof(t23_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_tarski(1,B) => r2_tarski(k12_ordinal2(B,A),k12_ordinal2(B,k1_ordinal1(A))) ) ) ) )).
fof(t23_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(k5_numbers,A) & r2_tarski(k5_numbers,B) ) => r1_ordinal1(A,k1_ordinal5(A,B)) ) ) ) )).
fof(t23_ordinal6,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_ordinal2(D) ) => ( ( D = k2_ordinal6(A) & r2_tarski(B,k9_xtuple_0(D)) & r2_tarski(C,k9_xtuple_0(D)) ) => ( r2_tarski(B,C) <=> r2_tarski(k1_funct_1(D,B),k1_funct_1(D,C)) ) ) ) )).
fof(t23_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_orders_2(B,D,k3_rlvect_1(B,E,C)) => ( r1_orders_2(B,D,C) | k1_ortsp_1(A,B,C,D,E) = k4_algstr_0(A,k1_ortsp_1(A,B,E,D,C)) ) ) ) ) ) ) ) )).
fof(t23_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ! [D] : ! [E] : ( r2_hidden(k4_tarski(C,E),k1_funct_1(k19_osafree(A,B),D)) => ( r2_hidden(C,k4_dtconstr(k2_osafree(A,B))) & r2_hidden(D,k4_dtconstr(k2_osafree(A,B))) & r2_hidden(E,u1_struct_0(A)) ) ) ) ) )).
fof(t23_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ( ( r6_osalg_1(A,B,C) & r6_osalg_1(A,C,D) ) => r6_osalg_1(A,B,D) ) ) ) ) ) )).
fof(t23_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_tarski(k1_funct_1(u3_msualg_1(A,B),D),k8_osalg_2(A,B,C,D)) ) ) ) ) )).
fof(t23_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & v13_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v2_msualg_4(C,A,B) & v3_msualg_4(C,A,B) & m1_osalg_4(C,A,B) ) => v3_osalg_4(C,A,B) ) ) ) )).
fof(t23_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_parsp_1(A,B,C,D,E) => ( r1_parsp_1(A,C,B,D,E) & r1_parsp_1(A,B,C,E,D) & r1_parsp_1(A,C,B,E,D) & r1_parsp_1(A,D,E,B,C) & r1_parsp_1(A,E,D,B,C) & r1_parsp_1(A,D,E,C,B) & r1_parsp_1(A,E,D,C,B) ) ) ) ) ) ) ) )).
fof(t23_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_parsp_2(A,G,B,C) & r1_parsp_2(A,G,D,E) & r1_parsp_2(A,G,D,F) & r1_parsp_1(A,B,D,C,E) & r1_parsp_1(A,B,D,C,F) ) => ( r1_parsp_2(A,G,B,D) | E = F ) ) ) ) ) ) ) ) ) )).
fof(t23_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(k1_relset_1(A,k3_partfun1(C,A,B)),k9_xtuple_0(C)) & r1_tarski(k10_xtuple_0(k3_partfun1(C,A,B)),k10_xtuple_0(C)) ) ) )).
fof(t23_partfun2,axiom,( ! [A] : ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( r2_tarski(D,k7_relset_1(B,C,E,A)) <=> ? [F] : ( m1_subset_1(F,B) & r2_tarski(F,k1_relset_1(B,E)) & r2_tarski(F,A) & D = k7_partfun1(C,E,F) ) ) ) ) ) ) )).
fof(t23_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => k4_partit1(A,k3_partit1(A,B,C)) = k5_eqrel_1(A,k4_partit1(A,B),k4_partit1(A,C)) ) ) ) )).
fof(t23_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( v3_relat_2(C) => r3_relat_2(C,A) ) ) ) ) )).
fof(t23_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_analoaf(A,B,C,D,E) & ~ r3_diraf(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_diraf(A,B,F,E) & r1_diraf(A,C,F,D) ) ) ) ) ) ) ) ) )).
fof(t23_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,B,C) => r6_pboole(A,k3_pboole(A,B,C),B) ) ) ) )).
fof(t23_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v2_pcomps_1(A) & v4_pre_topc(C,A) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(E,A) & v3_pre_topc(F,A) & r1_tarski(B,E) & r2_tarski(D,F) & r1_xboole_0(E,F) ) ) ) ) ) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) ) ) ) ) ) ) ) )).
fof(t23_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k20_pcs_0(A,B))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k20_pcs_0(A,B))) => ( ( C = E & D = F & r1_orders_2(A,C,D) ) => r1_orders_2(k20_pcs_0(A,B),E,F) ) ) ) ) ) ) )).
fof(t23_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k4_real_ns1(A))) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ( ( E = F & G = H ) => ( r5_pdiff_1(A,B,C,D,E,G) <=> r6_pdiff_1(A,B,C,D,F,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( r3_pdiff_3(B,A) & r3_pdiff_3(C,A) ) => ( r3_pdiff_1(2,1,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(2,2,B),k1_pdiff_3(2,2,C)),A) & k10_pdiff_1(2,1,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(2,2,B),k1_pdiff_3(2,2,C)),A) = k2_xcmplx_0(k4_pdiff_3(B,A),k4_pdiff_3(C,A)) ) ) ) ) ) )).
fof(t23_pdiff_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r2_pdiff_4(B,A) => ( r1_tarski(A,k1_relset_1(k1_euclid(3),B)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ( r2_tarski(C,A) => r3_pdiff_1(3,2,B,C) ) ) ) ) ) )).
fof(t23_pdiff_5,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r5_pdiff_5(B,A) <=> r3_pdiff_1(3,2,k1_pdiff_3(2,3,B),A) ) ) ) )).
fof(t23_pdiff_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_real_ns1(A))) => ! [D] : ( v1_xreal_0(D) => ( B = C => a_3_0_pdiff_6(A,B,D) = a_3_1_pdiff_6(A,C,D) ) ) ) ) ) )).
fof(t23_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_numbers))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( ( r1_pdiff_7(A,C,D) & r1_xxreal_0(1,B) & r1_xxreal_0(B,A) ) => ( r3_pdiff_1(A,B,C,D) & k10_pdiff_1(A,B,C,D) = k1_fdiff_1(k1_partfun1(k1_numbers,k1_euclid(A),k1_euclid(A),k1_numbers,k6_pdiff_1(A,B,D),C),k3_funct_2(k1_euclid(A),k1_numbers,k1_pdiff_1(B,A),D)) & k10_pdiff_1(A,B,C,D) = k1_funct_1(k1_pdiff_7(A,C,D),k1_funct_1(k6_pdiff_1(A,B,k5_euclid(A)),1)) ) ) ) ) ) ) )).
fof(t23_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_euclid(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,A) & v1_pdiff_7(E,A) & D = C & E = F ) => ( ( ( r2_pdiff_7(A,B,G,C,E) & r4_pdiff_7(A,B,k2_pdiff_7(A,B,G,C,E),E) ) => ( r7_pdiff_1(A,B,G,D,F) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)),k14_pdiff_1(A,B,G,D,F),F) ) ) & ( ( r7_pdiff_1(A,B,G,D,F) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(1),k4_real_ns1(B)),k14_pdiff_1(A,B,G,D,F),F) ) => ( r2_pdiff_7(A,B,G,C,E) & r4_pdiff_7(A,B,k2_pdiff_7(A,B,G,C,E),E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & ~ v13_pencil_1(B) & v16_pencil_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( ( r2_tarski(C,k4_card_3(B)) & r2_tarski(D,k4_card_3(B)) ) => ! [E] : ( E != k3_pencil_1(A,B) => k1_funct_1(C,E) = k1_funct_1(D,E) ) ) ) ) ) ) )).
fof(t23_pencil_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( m1_pencil_2(C,A,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) & ~ v1_zfmisc_1(D) & v2_pencil_1(D,k5_pencil_1(A,B)) & v1_pencil_1(D,k5_pencil_1(A,B)) & C = k3_tarski(a_3_0_pencil_2(A,B,D)) ) ) ) ) ) )).
fof(t23_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v9_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( m1_pencil_2(C,A,B) => ! [D] : ( m1_pencil_2(D,A,B) => ( r1_xboole_0(C,D) => ! [E] : ( ( ~ v13_pencil_1(E) & v16_pencil_1(E,A) & m3_pboole(E,A,k12_pralg_1(A,B)) ) => ! [F] : ( ( ~ v13_pencil_1(F) & v16_pencil_1(F,A) & m3_pboole(F,A,k12_pralg_1(A,B)) ) => ( ( C = k4_card_3(E) & D = k4_card_3(F) ) => ( k3_pencil_1(A,E) = k3_pencil_1(A,F) <=> ? [G] : ( m2_finseq_1(G,k1_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)))) & k1_funct_1(G,1) = C & k1_funct_1(G,k3_finseq_1(G)) = D & ! [H] : ( v7_ordinal1(H) => ( r2_tarski(H,k4_finseq_1(G)) => m1_pencil_2(k1_funct_1(G,H),A,B) ) ) & ! [H] : ( v7_ordinal1(H) => ( r1_xxreal_0(1,H) => ( r1_xxreal_0(k3_finseq_1(G),H) | ! [I] : ( m1_pencil_2(I,A,B) => ! [J] : ( m1_pencil_2(J,A,B) => ( ( I = k1_funct_1(G,H) & J = k1_funct_1(G,k1_nat_1(H,1)) ) => ( r1_xboole_0(I,J) & r1_pencil_3(A,B,I,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ( k2_vectsp_4(A,B) = k2_vectsp_4(A,C) => ! [D] : ( v7_ordinal1(D) => k2_vectsp_9(A,B,D) = k2_vectsp_9(A,C,D) ) ) ) ) ) )).
fof(t23_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( v1_abian(k3_xcmplx_0(A,B)) & ~ v1_abian(A) & ~ v1_abian(B) ) ) ) )).
fof(t23_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m3_pnproc_1(C,A,B) => k8_pnproc_1(A,B,k3_pre_poly(B,C)) = k7_pnproc_1(A,C) ) ) )).
fof(t23_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => g6_algstr_0(u1_struct_0(k3_polyalg1(A)),u1_algstr_0(k3_polyalg1(A)),u2_algstr_0(k3_polyalg1(A)),u3_struct_0(k3_polyalg1(A)),u2_struct_0(k3_polyalg1(A))) = k13_polynom3(A) ) )).
fof(t23_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ~ ( k1_square_1(B) = A & B != k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k7_complex1)) & B != k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k7_complex1)) & B != k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k7_complex1)) & B != k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(A),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2))),k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(A)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A))))),2)),k7_complex1)) ) ) ) )).
fof(t23_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_power(A,B) = A => ( r1_xxreal_0(A,k5_numbers) | A = 1 | B = 1 ) ) ) ) )).
fof(t23_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ( ( B = k1_polyeq_5(2,k2_polyeq_5(k4_xcmplx_0(k1_newton(D,2)),k6_xcmplx_0(k1_newton(G,2),E),k3_xcmplx_0(2,G))) & C = k1_polyeq_5(2,k3_polyeq_5(k4_xcmplx_0(k1_newton(D,2)),k6_xcmplx_0(k1_newton(G,2),E),k3_xcmplx_0(2,G))) & F = k4_xcmplx_0(k7_xcmplx_0(D,k3_xcmplx_0(B,C))) ) => ( D = k5_numbers | ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,4),k3_xcmplx_0(k3_xcmplx_0(4,G),k1_newton(A,2))),k3_xcmplx_0(k3_xcmplx_0(8,D),A)),k3_xcmplx_0(4,E)) = k5_numbers <=> ~ ( A != k2_xcmplx_0(k2_xcmplx_0(B,C),F) & A != k6_xcmplx_0(k6_xcmplx_0(B,C),F) & A != k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),C),F) & A != k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),C),F) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_polyform,axiom,( ! [A] : ! [B] : m2_funct_2(k8_funcop_1(u1_struct_0(k2_bspace),k2_zfmisc_1(A,B),k5_struct_0(k2_bspace)),k2_zfmisc_1(A,B),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)),k9_funct_2(k2_zfmisc_1(A,B),k2_tarski(k4_struct_0(k2_bspace),k5_struct_0(k2_bspace)))) )).
fof(t23_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k5_polynom1(A,B,C,k8_polynom1(A,B)),C) ) ) )).
fof(t23_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k6_polynom1(A,B,C,D),E) = k3_rlvect_1(B,k2_polynom2(A,B,C,E),k2_polynom2(A,B,D,E)) ) ) ) ) ) )).
fof(t23_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_struct_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_xxreal_0(k1_algseq_1(A,B),C) <=> r1_algseq_1(A,B,C) ) ) ) ) )).
fof(t23_polynom4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_polynom4(A,k12_polynom3(A,k1_polynom4(A,B),C),D) = k8_group_1(A,k2_polynom4(A,k1_polynom4(A,B),D),k2_polynom4(A,C,D)) ) ) ) ) )).
fof(t23_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( k1_algseq_1(A,B) != k5_numbers => ! [C] : ( v7_ordinal1(C) => k1_algseq_1(A,k3_polynom5(A,B,C)) = k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(C,k1_algseq_1(A,B)),C),1) ) ) ) ) )).
fof(t23_polynom7,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l2_struct_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k2_polynom7(A,B,k4_polynom7(A,B,C)) = k16_pre_poly(A) & k3_polynom7(A,B,k4_polynom7(A,B,C)) = C ) ) ) )).
fof(t23_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k8_group_1(A,k2_polynom8(A,B,k3_xcmplx_0(k6_xcmplx_0(C,1),k6_xcmplx_0(E,1))),k2_polynom8(A,B,k4_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(D,1),k6_xcmplx_0(E,1))))) = k2_polynom8(A,B,k3_xcmplx_0(k6_xcmplx_0(C,D),k6_xcmplx_0(E,1))) ) ) ) ) ) ) )).
fof(t23_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_vectsp_2(C) & l6_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(D,A,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(F,A,C) & v3_polynom7(F,A,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(k3_termord(A,B,C,D),k3_polynom1(k15_pre_poly(A),C,E)) => r2_tarski(k3_termord(A,B,C,k10_polynom1(A,C,F,D)),k3_polynom1(k15_pre_poly(A),C,k10_polynom1(A,C,F,E))) ) ) ) ) ) ) ) )).
fof(t23_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,B),B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [H] : ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(k3_yellow_3(k7_poset_2(A,B),k7_poset_2(A,B))),u1_struct_0(k7_poset_2(A,B))) & v2_poset_1(H,k3_yellow_3(k7_poset_2(A,B),k7_poset_2(A,B)),k7_poset_2(A,B)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow_3(k7_poset_2(A,B),k7_poset_2(A,B))),u1_struct_0(k7_poset_2(A,B))))) & ! [I] : ( r2_tarski(I,k2_zfmisc_1(k4_poset_1(k4_poset_2(A),k4_poset_2(B)),k4_poset_1(k4_poset_2(A),k4_poset_2(B)))) => k1_funct_1(H,I) = k11_poset_2(A,B,C,D,E,F,G,k1_xtuple_0(I),k2_xtuple_0(I)) ) ) ) ) ) ) ) ) ) )).
fof(t23_power,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k8_nat_1(k1_numbers,A,C) = k1_power(C,B) ) ) => ( r1_xxreal_0(B,k5_numbers) | ( v2_comseq_2(A) & k1_seq_2(A) = 1 ) ) ) ) ) )).
fof(t23_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_pralg_2(C,A,B) => ! [D] : ( m1_subset_1(D,u4_struct_0(B)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(B,D,k14_pralg_2(A,B,C))) => ( k1_msualg_1(B,D) != k1_xboole_0 => ! [F] : ( m1_subset_1(F,A) => k5_msualg_3(B,k14_pralg_2(A,B,C),k5_pralg_2(A,B,C,F),D,k2_pralg_3(A,B,C,F),E) = k1_funct_1(k9_funct_6(E),F) ) ) ) ) ) ) ) )).
fof(t23_pre_circ,axiom,( ! [A] : ( v7_ordinal1(A) => ~ v1_finset_1(a_1_0_pre_circ(A)) ) )).
fof(t23_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : k1_card_3(k5_relat_1(A,B)) = k5_relat_1(k1_card_3(A),B) ) )).
fof(t23_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) => k2_pre_topc(A,k7_subset_1(u1_struct_0(A),k2_struct_0(A),B)) = k7_subset_1(u1_struct_0(A),k2_struct_0(A),B) ) & ( ( v2_pre_topc(A) & k2_pre_topc(A,k7_subset_1(u1_struct_0(A),k2_struct_0(A),B)) = k7_subset_1(u1_struct_0(A),k2_struct_0(A),B) ) => v3_pre_topc(B,A) ) ) ) ) )).
fof(t23_prefer_1,axiom,( ! [A] : ! [B] : ( A != B => v5_relat_2(k1_tarski(k4_tarski(A,B))) ) )).
fof(t23_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),B) => ( r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k2_prelamb(A,C,k2_prelamb(A,C,B))) & r2_prelamb(A,k6_finseq_1(u1_struct_0(A)),k1_prelamb(A,k1_prelamb(A,B,C),C)) ) ) ) ) ) )).
fof(t23_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( r1_xxreal_0(A,k5_numbers) | k2_prepower(B,k7_xcmplx_0(1,A)) = k7_xcmplx_0(1,k2_prepower(B,A)) ) ) ) ) )).
fof(t23_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => m1_prob_1(A,A,B) ) )).
fof(t23_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m2_prob_1(D,A,B) => ! [E] : ( m1_prob_1(E,A,B) => ( E = k1_xboole_0 => r1_prob_2(A,B,D,C,E) ) ) ) ) ) ) )).
fof(t23_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v5_relat_1(D,C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => r1_tarski(k1_prob_2(B,C,k1_prob_3(B,D),A),k1_prob_2(B,C,D,A)) ) ) ) )).
fof(t23_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ( m1_prob_4(D,A,B,C) <=> m1_measure3(D,A,B,k2_prob_4(A,B,C)) ) ) ) ) ) )).
fof(t23_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k10_cqc_lang(A,B,C),k8_cqc_lang(A,B,C)),k4_cqc_the1(A)) ) ) ) )).
fof(t23_projpl_1,axiom,( ! [A] : ( l1_incsp_1(A) => ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & l1_incsp_1(A) ) <=> ( v1_projpl_1(A) & ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u2_incsp_1(A)) & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) ) ) ) & ! [B] : ( m1_subset_1(B,u2_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & r2_projpl_1(A,D,B,C) ) ) ) & ? [B] : ( m1_subset_1(B,u1_incsp_1(A)) & ? [C] : ( m1_subset_1(C,u1_incsp_1(A)) & ? [D] : ( m1_subset_1(D,u1_incsp_1(A)) & ? [E] : ( m1_subset_1(E,u1_incsp_1(A)) & r5_projpl_1(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(t23_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u1_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u1_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u1_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ( ( r1_incsp_1(A,E,C) & r1_incsp_1(A,F,C) & k1_funct_1(k1_projred1(A,C,D,B),E) = G & k1_funct_1(k1_projred1(A,C,D,B),F) = H & G = H ) => ( r1_incsp_1(A,B,C) | r1_incsp_1(A,B,D) | E = F ) ) ) ) ) ) ) ) ) ) )).
fof(t23_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,E) & ~ r1_incsp_1(A,C,F) & ~ r1_incsp_1(A,B,G) & ~ r1_incsp_1(A,C,G) & B != C & r1_incsp_1(A,B,H) & r1_incsp_1(A,C,H) & r1_incsp_1(A,D,H) & ~ r1_incsp_1(A,D,E) & D != C & ~ r1_projred2(A,E,F,G) & ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ~ ( r1_projred2(A,E,G,I) & ~ r1_incsp_1(A,C,I) & ~ r1_incsp_1(A,D,I) & k3_relat_1(k1_projred1(A,E,G,B),k1_projred1(A,G,F,C)) = k3_relat_1(k1_projred1(A,E,I,D),k1_projred1(A,I,F,C)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_prvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k1_binop_1(C,D,E) = k1_domain_1(u1_struct_0(A),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B))),D,k12_finseq_1(u1_struct_0(B),E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_prvect_3(A,B))) => k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))),C,k3_rlvect_1(k7_prvect_3(A,B),D,E)) = k3_rlvect_1(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))),C,D),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))),C,k1_rlvect_1(k7_prvect_3(A,B),D,E)) = k1_rlvect_1(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))),C,k4_struct_0(k7_prvect_3(A,B))) = k4_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(A,B))) => k2_normsp_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B))),k3_funct_2(u1_struct_0(k7_prvect_3(A,B)),u1_struct_0(k7_prvect_3(A,k14_prvect_2(k9_finseq_1(B)))),C,D)) = k2_normsp_0(k7_prvect_3(A,B),D) ) ) ) ) )).
fof(t23_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,A) => k1_funct_1(k3_pscomp_1(k15_euclid(2),k5_pscomp_1,A),B) = k18_euclid(B) ) ) ) )).
fof(t23_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_pua2mss1(B,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => r2_pua2mss1(u1_struct_0(A),B,k10_eqrel_1(u1_struct_0(A))) ) ) )).
fof(t23_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r6_pboole(A,k4_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)),k1_pboole(A)) => r6_pboole(A,B,C) ) ) ) )).
fof(t23_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( ( r1_qc_lang1(A,B,C) & r1_qc_lang1(A,C,B) ) => C = B ) ) ) ) )).
fof(t23_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k8_qc_lang2(A,B,C,D,E) = k6_qc_lang2(A,H,G,F) => ( B = H & C = G & k15_qc_lang1(A,D,E) = F ) ) ) ) ) ) ) ) ) ) )).
fof(t23_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v6_qc_lang1(k15_qc_lang1(A,B,C),A) <=> r1_tarski(k24_qc_lang1(A,C),k1_tarski(B)) ) ) ) ) )).
fof(t23_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(k2_qc_lang4(A,C))) => ! [E] : ( m1_trees_1(E,k9_xtuple_0(k2_qc_lang4(A,C))) => ( ( E = k7_finseq_1(D,k9_finseq_1(B)) & v5_qc_lang1(k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),D),A) ) => ( k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),E) = k22_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,C),D)) & B = k5_numbers ) ) ) ) ) ) ) )).
fof(t23_qc_trans,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ( v1_henmodel(B,A) & m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) ) => ! [C] : ( ( v1_qc_trans(C,A) & m1_qc_lang1(C) ) => v2_qc_trans(B,A,C) ) ) ) )).
fof(t23_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_lattices(A,B,C) => r3_lattices(A,k5_quantal1(A,C),k5_quantal1(A,B)) ) ) ) ) )).
fof(t23_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => k22_quaterni(k24_quaterni(A,B),C) = k24_quaterni(k22_quaterni(A,C),k22_quaterni(B,C)) ) ) ) )).
fof(t23_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k21_quaterni(k22_quaterni(k11_quaterni,A),k22_quaterni(A,k11_quaterni)) = k5_quaterni(k4_xcmplx_0(k3_xcmplx_0(2,k15_quaterni(A))),k5_numbers,k5_numbers,k3_xcmplx_0(2,k12_quaterni(A))) ) )).
fof(t23_quaterni,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k12_quaterni(k5_quaterni(A,B,C,D)) = A & k13_quaterni(k5_quaterni(A,B,C,D)) = B & k14_quaterni(k5_quaterni(A,B,C,D)) = C & k15_quaterni(k5_quaterni(A,B,C,D)) = D ) ) ) ) ) )).
fof(t23_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(k5_numbers,B) & ~ r1_xxreal_0(k6_xcmplx_0(k1_square_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,B),A),C)),k1_quin_1(B,C,D)),k5_numbers) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D)) ) ) ) ) ) )).
fof(t23_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k4_binop_1(k7_quofield(A),k16_quofield(A),k4_binop_1(k7_quofield(A),k16_quofield(A),B,C),D) = k4_binop_1(k7_quofield(A),k16_quofield(A),B,k4_binop_1(k7_quofield(A),k16_quofield(A),C,D)) ) ) ) ) )).
fof(t23_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_radix_1(1,B,A) & r1_radix_1(1,C,A) ) => k11_radix_1(k2_xcmplx_0(k4_radix_1(1,A,1,k10_radix_1(A,1,B)),k4_radix_1(1,A,1,k10_radix_1(A,1,C)))) = k11_radix_1(k2_xcmplx_0(B,C)) ) ) ) ) )).
fof(t23_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(k5_numbers,D) & v6_supinf_2(C) ) => m1_random_1(k2_mesfun6c(D,A,C),A,B) ) ) ) ) ) )).
fof(t23_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m2_vectsp_6(D,A,B,C) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => m2_vectsp_6(k14_funct_7(u1_struct_0(B),u1_struct_0(A),D,E,F),A,B,k4_subset_1(u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),E))) ) ) ) ) ) ) )).
fof(t23_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( k2_rat_1(A) = k1_rat_1(A) <=> A = 1 ) ) )).
fof(t23_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => k11_ratfunc1(A,k7_ratfunc1(A)) = k7_ratfunc1(A) ) )).
fof(t23_rcomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ~ ( v3_rcomp_1(A) & v5_xxreal_2(A) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r2_hidden(B,A) & r2_hidden(C,A) ) => r1_tarski(k1_rcomp_1(B,C),A) ) ) ) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => A != k2_rcomp_1(B,C) ) ) ) ) )).
fof(t23_rcomp_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( v4_xxreal_2(A) => ( v3_xxreal_2(A) | r2_hidden(k2_seq_4(A),A) | A = k10_prob_1(k2_seq_4(A)) ) ) ) )).
fof(t23_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => r2_funct_2(k4_ordinal1,k4_ordinal1,k2_real_3(k5_numbers,A),k8_funcop_1(k4_ordinal1,k4_ordinal1,k5_numbers)) ) )).
fof(t23_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_real_lat(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_real_lat(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_real_lat(A))) => ( k1_binop_1(k4_real_lat(A),B,k1_binop_1(k4_real_lat(A),C,D)) = k1_binop_1(k4_real_lat(A),k1_binop_1(k4_real_lat(A),C,D),B) & k1_binop_1(k4_real_lat(A),B,k1_binop_1(k4_real_lat(A),C,D)) = k1_binop_1(k4_real_lat(A),k1_binop_1(k4_real_lat(A),B,C),D) & k1_binop_1(k4_real_lat(A),B,k1_binop_1(k4_real_lat(A),C,D)) = k1_binop_1(k4_real_lat(A),k1_binop_1(k4_real_lat(A),C,B),D) & k1_binop_1(k4_real_lat(A),B,k1_binop_1(k4_real_lat(A),C,D)) = k1_binop_1(k4_real_lat(A),k1_binop_1(k4_real_lat(A),D,B),C) & k1_binop_1(k4_real_lat(A),B,k1_binop_1(k4_real_lat(A),C,D)) = k1_binop_1(k4_real_lat(A),k1_binop_1(k4_real_lat(A),D,C),B) & k1_binop_1(k4_real_lat(A),B,k1_binop_1(k4_real_lat(A),C,D)) = k1_binop_1(k4_real_lat(A),k1_binop_1(k4_real_lat(A),B,D),C) ) ) ) ) ) )).
fof(t23_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k8_struct_0(A)) => B = k3_funct_2(k8_struct_0(A),k8_struct_0(A),k5_realset2(A),k3_funct_2(k8_struct_0(A),k8_struct_0(A),k5_realset2(A),B)) ) ) )).
fof(t23_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k8_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k8_struct_0(A)) => k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),B,C) = k1_funct_1(k5_realset2(A),k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),C,B)) ) ) ) )).
fof(t23_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k1_rvsum_1(k4_rearran1(B,A,D,C)) = k1_rvsum_1(k20_rfunct_3(B,C,B)) ) ) ) ) ) )).
fof(t23_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k2_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B)) ) ) )).
fof(t23_relset_1,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( k7_relset_1(A,B,C,k8_relset_1(A,B,C,B)) = k2_relset_1(B,C) & k8_relset_1(A,B,C,k7_relset_1(A,B,C,A)) = k1_relset_1(A,C) ) ) )).
fof(t23_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( k7_relset_1(k9_setfam_1(A),k9_setfam_1(B),k4_relset_2(B,A,D),k10_eqrel_1(C)) = k1_xboole_0 <=> C = k1_xboole_0 ) ) ) )).
fof(t23_revrot_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( k10_xtuple_0(A) = k10_xtuple_0(B) => k10_xtuple_0(k2_goboard1(A)) = k10_xtuple_0(k2_goboard1(B)) ) ) ) )).
fof(t23_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ! [D] : ( r1_rewrite1(A,C,D) <=> r1_rewrite1(k2_xboole_0(A,k4_relat_1(B)),C,D) ) ) )).
fof(t23_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m2_finseq_1(D,k8_afinsq_1(A)) => ( m1_rewrite1(D,k7_rewrite2(A,B)) => ( m1_rewrite1(k5_rewrite2(A,C,D),k7_rewrite2(A,B)) & m1_rewrite1(k4_rewrite2(A,C,D),k7_rewrite2(A,B)) ) ) ) ) ) )).
fof(t23_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k8_afinsq_1(D))) => ! [F] : ( l1_rewrite3(F,E) => ( r1_rewrite3(E,F,A,B,C) <=> r2_rewrite3(D,E,F,A,B,C,k2_flang_1(D)) ) ) ) ) )).
fof(t23_rfinseq,axiom,( ! [A] : ( ( v8_valued_0(A) & m2_finseq_1(A,k1_numbers) ) => ! [B] : ( ( v8_valued_0(B) & m2_finseq_1(B,k1_numbers) ) => ( r2_classes1(A,B) => A = B ) ) ) )).
fof(t23_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_valued_0(C) ) => k1_valued_1(A,k45_valued_1(B,C)) = k45_valued_1(k1_valued_1(A,B),C) ) ) ) )).
fof(t23_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v8_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r2_hidden(D,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) ) => ( r1_xxreal_0(D,C) | r1_xxreal_0(k1_funct_1(B,D),k1_funct_1(B,C)) ) ) ) ) ) ) )).
fof(t23_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,k2_finseq_4(k3_rfunct_3(A,k1_numbers),B,C)),k5_rfunct_3(A,k1_numbers,B,C)) ) ) ) )).
fof(t23_rfunct_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_rfunct_4(B,A) => r4_rfunct_4(B,A) ) ) )).
fof(t23_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v8_valued_0(A) & v2_seq_2(A) ) => v1_comseq_2(A) ) ) )).
fof(t23_rinfsup2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( r1_xxreal_0(k2_rinfsup2(B),k12_supinf_2(B,A)) & r1_xxreal_0(k12_supinf_2(B,A),k1_rinfsup2(B)) ) ) ) )).
fof(t23_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v5_ring_2(B,A) & r4_gcd_1(A,C,B) ) => v5_ring_2(C,A) ) ) ) ) )).
fof(t23_rlaffin1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_rlvect_2(C,B) => ( A != k5_numbers => k3_rlvect_2(B,k2_rlaffin1(B,C,A)) = k1_convex1(B,k3_rlvect_2(B,C),A) ) ) ) ) )).
fof(t23_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( v1_finset_1(C) & v1_rlaffin1(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_tarski(k3_convex1(A,B),k3_convex1(A,C)) & ~ v1_xboole_0(C) & r1_xboole_0(k3_convex1(A,B),k1_rlaffin2(A,C)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_xboole_0(D,C) & r1_tarski(k3_convex1(A,B),k3_convex1(A,D)) ) ) ) ) ) ) )).
fof(t23_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( m2_rlaffin3(C,k15_euclid(A),B) => ( ( r2_tarski(k5_euclid(A),B) & k1_funct_1(C,k3_finseq_1(C)) = k5_euclid(A) ) => ( k2_relset_1(u1_struct_0(k15_euclid(A)),k17_finseq_1(u1_struct_0(k15_euclid(A)),k7_nat_d(k4_card_1(B),1),C)) = k7_subset_1(u1_struct_0(k15_euclid(A)),B,k6_domain_1(k1_euclid(A),k5_euclid(A))) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)))) => ( B = D => m1_matrlin(k17_finseq_1(u1_struct_0(k15_euclid(A)),k7_nat_d(k4_card_1(B),1),C),k2_vectsp_1,k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A),D)) ) ) ) ) ) ) ) )).
fof(t23_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_rlsub_1(D,A) => ( ( r1_struct_0(D,B) & r1_struct_0(D,C) ) => r1_struct_0(D,k5_algstr_0(A,B,C)) ) ) ) ) ) )).
fof(t23_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => k1_rlsub_2(A,k2_rlsub_2(A,B,C),C) = C ) ) ) )).
fof(t23_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => v1_convex1(k6_setfam_1(u1_struct_0(A),B),A) ) ) )).
fof(t23_rlvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k5_algstr_0(A,B,C) = k5_algstr_0(A,B,D) => C = D ) ) ) ) ) )).
fof(t23_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) => r2_funct_2(u1_struct_0(A),k1_numbers,B,k4_rlvect_2(A)) ) ) )).
fof(t23_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => m1_rlsub_1(k1_rlvect_3(A,k9_subset_1(u1_struct_0(A),B,C)),k2_rlsub_2(A,k1_rlvect_3(A,B),k1_rlvect_3(A,C))) ) ) ) )).
fof(t23_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v1_rlvect_3(k8_domain_1(u1_struct_0(A),B,D,C),A) => ( B = C | B = D | C = D | v1_rlvect_3(k8_domain_1(u1_struct_0(A),B,D,k5_algstr_0(A,C,B)),A) ) ) ) ) ) ) )).
fof(t23_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_rlvect_5(A) => ! [B] : ( m1_rlvect_3(B,A) => v1_finset_1(B) ) ) ) )).
fof(t23_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(B,k2_rlvect_x(A,k8_domain_1(u1_struct_0(A),B,C,D))) & r2_tarski(C,k2_rlvect_x(A,k8_domain_1(u1_struct_0(A),B,C,D))) & r2_tarski(D,k2_rlvect_x(A,k8_domain_1(u1_struct_0(A),B,C,D))) ) ) ) ) ) )).
fof(t23_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_rmod_2(E,A,B) => ( ( r1_struct_0(E,C) & r1_struct_0(E,D) ) => r1_struct_0(E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) )).
fof(t23_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_vectsp_2(B,A) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => k2_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B ) ) )).
fof(t23_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( r2_tarski(C,k9_xtuple_0(E)) & D = k1_funct_1(E,C) ) => k1_funct_1(k4_rmod_4(A,B,E,F),C) = k4_vectsp_2(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D) ) ) ) ) ) ) ) )).
fof(t23_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( k5_robbins1(A,B,C) = k6_lattices(A) & k6_robbins1(A,B,C) = k7_robbins1(A) ) => k3_robbins1(A,B) = C ) ) ) ) )).
fof(t23_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_robbins1(A,k3_robbins1(A,B)) = B ) ) )).
fof(t23_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v10_robbins3(A) & l3_robbins3(A) ) => g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k3_lattice3(A) ) )).
fof(t23_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_robbins4)) => ( ( A = k5_numbers => k3_robbins1(k2_robbins4,A) = 3 ) & ( A = 3 => k3_robbins1(k2_robbins4,A) = k5_numbers ) & ( A = 1 => k3_robbins1(k2_robbins4,A) = k6_subset_1(3,1) ) & ( A = k6_subset_1(3,1) => k3_robbins1(k2_robbins4,A) = 1 ) & ( A = 2 => k3_robbins1(k2_robbins4,A) = k6_subset_1(3,2) ) & ( A = k6_subset_1(3,2) => k3_robbins1(k2_robbins4,A) = 2 ) ) ) )).
fof(t23_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => k4_roughs_1(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k4_roughs_1(A,B),k4_roughs_1(A,C)) ) ) ) )).
fof(t23_roughs_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => r2_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),k5_roughs_2(A,k5_roughs_2(A,B)),B) ) )).
fof(t23_roughs_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_roughs_1(A) & v31_roughs_4(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k4_card_1(k2_kurato_1(A,B)),6) ) ) )).
fof(t23_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => k1_rpr_1(A,k7_subset_1(A,B,C)) = k6_xcmplx_0(k1_rpr_1(A,B),k1_rpr_1(A,k9_subset_1(A,B,C))) ) ) ) )).
fof(t23_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( ~ v2_struct_0(k9_rsspace4(A,B)) & v13_algstr_0(k9_rsspace4(A,B)) & v2_rlvect_1(k9_rsspace4(A,B)) & v3_rlvect_1(k9_rsspace4(A,B)) & v4_rlvect_1(k9_rsspace4(A,B)) & v5_rlvect_1(k9_rsspace4(A,B)) & v6_rlvect_1(k9_rsspace4(A,B)) & v7_rlvect_1(k9_rsspace4(A,B)) & v8_rlvect_1(k9_rsspace4(A,B)) & v3_normsp_0(k9_rsspace4(A,B)) & v4_normsp_0(k9_rsspace4(A,B)) & v2_normsp_1(k9_rsspace4(A,B)) & l1_normsp_1(k9_rsspace4(A,B)) ) ) ) )).
fof(t23_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_struct_0(B,D) => r1_struct_0(C,D) ) ) => m1_rusub_1(B,C) ) ) ) ) )).
fof(t23_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => k1_rusub_2(A,k2_rusub_2(A,B,C),C) = C ) ) ) )).
fof(t23_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_rlvect_3(C,A) & r1_tarski(C,u1_struct_0(B)) ) => ( v1_rlvect_3(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).
fof(t23_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_rusub_4(k6_domain_1(u1_struct_0(A),B),A) ) ) )).
fof(t23_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => k2_rusub_5(A,k2_rusub_1(A)) = k1_rusub_1(A) ) )).
fof(t23_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ( k5_rvsum_1(A,B,C) = k5_finseq_2(k4_ordinal1,A,k5_numbers) => B = k7_rvsum_1(A,C) ) ) ) ) )).
fof(t23_rvsum_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_valued_0(C) ) => k9_rvsum_2(C,k2_xcmplx_0(A,B)) = k3_rvsum_2(k9_rvsum_2(C,A),k9_rvsum_2(C,B)) ) ) ) )).
fof(t23_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(A)) => k1_funct_7(A,C,B) = k7_finseq_1(k7_finseq_1(k16_finseq_1(k7_nat_d(C,1),A),k9_finseq_1(B)),k1_rfinseq(C,A)) ) ) ) ) )).
fof(t23_scm_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) ) => m1_scm_1(A,k6_finseq_1(k4_numbers)) ) )).
fof(t23_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) & v2_scm_halt(D) ) => ! [E] : ( ( v4_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(E,u1_compos_1(k1_scmfsa_2)) ) => k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(D,E),A,C),B) = k1_funct_1(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k1_scmfsa6b(D,A,C)),B) ) ) ) ) ) )).
fof(t23_scmbsort,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) => ! [C] : ( m1_subset_1(C,u1_compos_1(k1_scmfsa_2)) => k4_card_1(k4_scmfsa6a(k5_scmfsa6a(A,B),C)) = 6 ) ) ) )).
fof(t23_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 6 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_scmfsa_2),A))) = k1_tarski(1) ) ) )).
fof(t23_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => k6_compos_1(k1_scmfsa_2,k1_scmfsa6a(A),B) = k6_funct_4(k6_compos_1(k1_scmfsa_2,A,B),k2_compos_1(k1_scmfsa_2),k11_scmfsa_2(k1_nat_1(k4_card_1(A),B))) ) ) )).
fof(t23_scmfsa7b,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( v1_int_1(B) => r1_tarski(k10_xtuple_0(k1_scmfsa_7(A,B)),k2_enumset1(k2_compos_1(k1_scmfsa_2),k6_scmfsa_2(A,k4_scmfsa_2(k5_numbers)),k7_scmfsa_2(A,k4_scmfsa_2(k5_numbers)),k8_scmfsa_2(A,k4_scmfsa_2(k5_numbers)))) ) ) )).
fof(t23_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r5_scmfsa7b(C,A,B) => r1_scmfsa8a(A,B,k1_scmfsa6a(C)) ) ) ) ) )).
fof(t23_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( v6_amistd_1(k2_scmfsa8b(E,C,D),k5_card_1(3),k1_scmfsa_2) & ( ~ r1_xxreal_0(k1_funct_1(B,E),k5_numbers) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k2_scmfsa8b(E,C,D),B,A),k1_funct_4(k1_scmfsa6b(C,B,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),3)))) ) & ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) => r8_pboole(u1_struct_0(k1_scmfsa_2),k1_scmfsa6b(k2_scmfsa8b(E,C,D),B,A),k1_funct_4(k1_scmfsa6b(D,B,A),k7_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),3)))) ) ) ) ) ) ) ) )).
fof(t23_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( ~ v1_xboole_0(E) & v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( k6_memstr_0(k5_card_1(3),k1_scmfsa_2,C) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,D) & r1_scmfsa8a(C,A,E) ) => r1_scmfsa8a(D,B,E) ) ) ) ) ) ) )).
fof(t23_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( m2_subset_1(B,k1_scmfsa_1,k2_scmfsa_1) => ! [C] : ( v1_int_1(C) => k1_funct_1(k7_scmfsa_1(A,B,C),k4_ordinal1) = k1_funct_1(A,k4_ordinal1) ) ) ) )).
fof(t23_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k11_scmfsa_2(A)) = 6 ) )).
fof(t23_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & ~ v1_scmfsa_m(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( v7_ordinal1(E) => r6_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(B,C,D,A),k1_nat_1(E,1)),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(B,C,D,A),E),C,D,A),1)) ) ) ) ) ) )).
fof(t23_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ! [B] : ( v7_ordinal1(B) => ~ r1_xxreal_0(k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),k1_nat_1(B,1))),k4_seq_4(k8_nat_1(k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),B))) ) ) )).
fof(t23_scmfsa_x,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) ) => ! [B] : ( ( v6_compos_0(B,u1_compos_1(k1_scmfsa_2)) & m1_subset_1(B,u1_compos_1(k1_scmfsa_2)) ) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(k4_card_1(A),k1_nat_1(C,1)) => ( v1_relat_1(k1_funct_7(A,C,B)) & v4_relat_1(k1_funct_7(A,C,B),k4_ordinal1) & v5_relat_1(k1_funct_7(A,C,B),u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(k1_funct_7(A,C,B)) & v1_funct_1(k1_funct_7(A,C,B)) & v1_finset_1(k1_funct_7(A,C,B)) & v1_afinsq_1(k1_funct_7(A,C,B)) & v3_compos_1(k1_funct_7(A,C,B),k1_scmfsa_2) & v4_compos_1(k1_funct_7(A,C,B),k1_scmfsa_2) ) ) ) ) ) )).
fof(t23_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v1_scm_halt(C) & v1_scmfsa7b(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( m1_scmfsa_2(D) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( v1_scm_halt(k4_scmfsa_x(E,C)) => ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) | k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(E,C),B,A),D) = k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa_x(E,C),k1_scmfsa6b(C,B,A),A),D) ) ) ) ) ) ) ) )).
fof(t23_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k14_scmpds_2(C,D,A,B)) = 11 ) ) ) ) )).
fof(t23_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) ) => ! [B] : ( v1_int_1(B) => ( r1_xxreal_0(k5_numbers,k2_xcmplx_0(k4_card_1(A),B)) => v3_scmpds_4(k3_scmpds_4(A,k3_scmpds_2(B))) ) ) ) )).
fof(t23_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v2_scmpds_4(C) ) => ( r1_tarski(k10_compos_1(k1_scmpds_2,C),A) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B))) = k4_card_1(C) ) ) ) ) )).
fof(t23_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_scmpds_2)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmpds_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) ) => ( ( k6_memstr_0(k5_card_1(2),k1_scmpds_2,C) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,D) & r1_scmpds_6(E,C,A) & r2_scmpds_6(E,C,A) ) => ( r1_scmpds_6(E,D,B) & r2_scmpds_6(E,D,B) ) ) ) ) ) ) ) )).
fof(t23_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( r2_scmpds_6(C,A,B) & r1_scmpds_6(D,k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),B),B) & r2_scmpds_6(D,k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),B),B) ) => ( r1_scmpds_6(D,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))),k1_funct_4(B,k10_compos_1(k1_scmpds_2,C))) & r2_scmpds_6(D,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A))),k1_funct_4(B,k10_compos_1(k1_scmpds_2,C))) ) ) ) ) ) ) )).
fof(t23_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( ( v1_ami_2(E) & m1_subset_1(E,u1_struct_0(k1_scmpds_2)) ) => ! [F] : ( v1_int_1(F) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),F)),k5_numbers) => k1_funct_1(k6_scmpds_4(k2_scmpds_8(D,F,C),B,A),E) = k1_funct_1(B,E) ) ) ) ) ) ) ) )).
fof(t23_scmring2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmring2(B))) ) <=> r2_tarski(A,k8_struct_0(k1_scmring2(B))) ) ) )).
fof(t23_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_scmring2(A)))) => ( B = 3 => k6_compos_0(u1_compos_1(k1_scmring2(A)),B) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t23_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ( v1_finset_1(k3_tarski(A)) => v1_finset_1(A) ) ) )).
fof(t23_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ~ ( ~ r1_semi_af1(A,B,C,D) & r2_analoaf(A,B,C,E,F) & r2_analoaf(A,B,D,E,G) & E != F & E != G & r1_semi_af1(A,E,F,G) ) ) ) ) ) ) ) ) )).
fof(t23_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,C,k3_xcmplx_0(A,B)),k26_valued_1(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,C,B),A)) ) ) ) )).
fof(t23_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & v2_comseq_2(A) & v9_ordinal1(A) ) => ( k1_seq_2(A) = k5_numbers | v2_comseq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,A)) ) ) ) ) )).
fof(t23_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( v2_comseq_2(A) & k1_seq_2(A) != k5_numbers & ! [B] : ( v7_ordinal1(B) => ~ v9_ordinal1(k1_valued_0(k1_numbers,A,B)) ) ) ) )).
fof(t23_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ! [D] : ( ( r1_tarski(D,C) & r1_seqfunc(A,k1_numbers,B,C) ) => ( D = k1_xboole_0 | r1_seqfunc(A,k1_numbers,B,D) ) ) ) ) )).
fof(t23_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v6_valued_0(A) & m2_valued_0(B,k1_numbers,A) ) => v6_valued_0(B) ) ) ) )).
fof(t23_series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k3_funct_2(k4_ordinal1,k1_numbers,B,k1_nat_1(C,1)) = k3_xcmplx_0(A,k8_nat_1(k1_numbers,B,C)) ) => ( A = 1 | ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k7_xcmplx_0(k3_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k6_xcmplx_0(1,k2_power(A,k1_nat_1(C,1)))),k6_xcmplx_0(1,A)) ) ) ) ) ) )).
fof(t23_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(k3_xcmplx_0(B,k11_newton(k1_nat_1(B,1),2)),k1_nat_1(B,2)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_nat_1(B,2)),k1_nat_1(B,3)),k1_nat_1(k3_xcmplx_0(2,B),3)),10) ) ) ) )).
fof(t23_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ( k2_xcmplx_0(A,B) = 1 => r1_xxreal_0(k7_xcmplx_0(25,4),k3_xcmplx_0(k2_xcmplx_0(A,k7_xcmplx_0(1,A)),k2_xcmplx_0(B,k7_xcmplx_0(1,B)))) ) ) ) )).
fof(t23_series_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => ( k8_nat_1(k1_numbers,B,C) = k1_newton(k7_xcmplx_0(A,k6_xcmplx_0(A,1)),C) & k8_nat_1(k1_numbers,B,k5_numbers) = k5_numbers ) ) ) => ( A = 1 | ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(1,C) => k8_nat_1(k1_numbers,k3_series_1(B),C) = k3_xcmplx_0(A,k6_xcmplx_0(k1_newton(k7_xcmplx_0(A,k6_xcmplx_0(A,1)),C),1)) ) ) ) ) ) ) )).
fof(t23_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => r1_xxreal_0(k1_square_1(k2_xcmplx_0(k3_square_1(k3_xcmplx_0(A,B)),k7_xcmplx_0(1,k3_square_1(k3_xcmplx_0(A,B))))),k3_xcmplx_0(k2_xcmplx_0(A,k7_xcmplx_0(1,A)),k2_xcmplx_0(B,k7_xcmplx_0(1,B)))) ) ) )).
fof(t23_setfam_1,axiom,( ! [A] : ! [B] : ( ~ r1_xboole_0(A,B) => k3_xboole_0(k1_setfam_1(A),k1_setfam_1(B)) = k1_setfam_1(k3_setfam_1(A,B)) ) )).
fof(t23_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => v3_prob_1(k2_setlim_1(A,B)) ) )).
fof(t23_setlim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_setlim_1(C,A) => v1_setlim_1(k5_setlim_2(A,C,B),A) ) ) ) )).
fof(t23_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) ) => ! [E] : ( m1_subset_1(E,k5_finsub_1(A)) => ! [F] : ( m1_subset_1(F,k5_finsub_1(A)) => ( r1_tarski(E,F) => ( E = k1_xboole_0 | k4_binop_1(B,C,k7_setwiseo(A,B,C,E,D),k7_setwiseo(A,B,C,F,D)) = k7_setwiseo(A,B,C,F,D) ) ) ) ) ) ) ) ) ) )).
fof(t23_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => k10_xtuple_0(k1_setwop_2(A,C,B)) = k2_xboole_0(k10_xtuple_0(C),k1_tarski(B)) ) ) ) )).
fof(t23_sf_mastr,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_scmfsa_2)) => ! [B] : ( v7_ordinal1(B) => k1_sf_mastr(A) = k1_sf_mastr(k8_compos_0(u1_compos_1(k1_scmfsa_2),A,B)) ) ) )).
fof(t23_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(E) & v1_funct_1(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) & v5_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(E) ) => ( k1_funct_1(A,C) = D => ( ( ~ r1_sfmastr2(B,A,C,E) & ~ v6_amistd_1(E,k5_card_1(3),k1_scmfsa_2) ) | ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) != 1 & v1_scmfsa_m(C) ) | k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k2_sfmastr2(C,E),A,B)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k3_sfmastr2(B,A,E,C),D)) ) ) ) ) ) ) ) )).
fof(t23_sfmastr3,axiom,( ! [A] : ( ( v1_ami_2(A) & ~ v1_scmfsa_m(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & ~ v1_xboole_0(E) & v1_finset_1(E) & v1_afinsq_1(E) & v3_compos_1(E,k1_scmfsa_2) & v4_compos_1(E,k1_scmfsa_2) ) => ~ ( A != B & B != k9_scmfsa_m(1,k4_subset_1(k2_scmfsa_2,k6_scmfsa_m(A,C,D),k3_sf_mastr(E))) & ~ r4_scmfsa7b(E,B) & r4_scmfsa7b(k2_sfmastr3(A,C,D,E),B) ) ) ) ) ) ) )).
fof(t23_sgraph1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_sgraph1(B))) => ! [D] : ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_sgraph1(k2_xboole_0(B,k1_tarski(D))))) ) => ( ( r2_tarski(g1_sgraph1(B,C),k3_sgraph1(A)) & r2_tarski(D,A) ) => r2_tarski(g1_sgraph1(k2_xboole_0(B,k1_tarski(D)),E),k3_sgraph1(A)) ) ) ) ) )).
fof(t23_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v7_robbins1(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & v4_sheffer1(A) & l3_lattices(A) ) => v16_lattices(A) ) )).
fof(t23_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,D,B)) = B ) ) ) ) )).
fof(t23_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => r1_xxreal_0(k2_xxreal_3(1),k6_simplex0(A)) ) )).
fof(t23_simplex1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ! [D] : ( ( ~ v3_pencil_1(D) & m2_simplex0(D,u1_struct_0(B),C) ) => ( ( r1_tarski(k3_simplex1(B,C),k2_struct_0(C)) & r1_tarski(k3_simplex1(B,D),k2_struct_0(D)) ) => m2_simplex0(k5_simplex1(A,B,D),u1_struct_0(B),k5_simplex1(A,B,C)) ) ) ) ) ) )).
fof(t23_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k4_card_1(B) = k2_xcmplx_0(A,1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))) & v5_pre_topc(C,k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)),k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))))) ) => ? [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) & r2_tarski(D,k1_relset_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),C)) & k1_funct_1(C,D) = D ) ) ) ) ) )).
fof(t23_sin_cos,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => k15_sin_cos(k2_xcmplx_0(A,B)) = k3_xcmplx_0(k15_sin_cos(A),k15_sin_cos(B)) ) ) )).
fof(t23_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_funct_1(k1_sin_cos2,k3_xcmplx_0(2,A)) = k3_xcmplx_0(k3_xcmplx_0(2,k1_funct_1(k1_sin_cos2,A)),k1_funct_1(k3_sin_cos2,A)) & k1_funct_1(k3_sin_cos2,k3_xcmplx_0(2,A)) = k6_xcmplx_0(k3_xcmplx_0(2,k1_square_1(k1_funct_1(k3_sin_cos2,A))),1) & k1_funct_1(k5_sin_cos2,k3_xcmplx_0(2,A)) = k7_xcmplx_0(k3_xcmplx_0(2,k1_funct_1(k5_sin_cos2,A)),k2_xcmplx_0(1,k1_square_1(k1_funct_1(k5_sin_cos2,A)))) ) ) )).
fof(t23_sin_cos3,axiom,( k10_funct_2(k2_numbers,k2_numbers,k2_sin_cos3,k5_complex1) = 1 )).
fof(t23_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k17_sin_cos(A) != k5_numbers & k17_sin_cos(B) != k5_numbers & k2_xcmplx_0(k2_sin_cos4(A),k2_sin_cos4(B)) != k7_xcmplx_0(k17_sin_cos(k2_xcmplx_0(A,B)),k3_xcmplx_0(k17_sin_cos(A),k17_sin_cos(B))) ) ) ) )).
fof(t23_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(k19_sin_cos(A),3) = k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(3,k19_sin_cos(A)),k19_sin_cos(k3_xcmplx_0(3,A))),4) ) )).
fof(t23_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( k17_sin_cos(A) = k4_xcmplx_0(1) => A = k2_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_int_1(k7_xcmplx_0(A,k3_xcmplx_0(2,k28_sin_cos))))) ) ) )).
fof(t23_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k2_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1))),k5_numbers) ) ) )).
fof(t23_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(A),k2_sin_cos2(B)),k2_sin_cos2(k6_xcmplx_0(B,A))),k3_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(B),k2_sin_cos2(C)),k2_sin_cos2(k6_xcmplx_0(C,B)))),k3_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(C),k2_sin_cos2(A)),k2_sin_cos2(k6_xcmplx_0(A,C)))),k3_xcmplx_0(k3_xcmplx_0(k2_sin_cos2(k6_xcmplx_0(B,A)),k2_sin_cos2(k6_xcmplx_0(C,B))),k2_sin_cos2(k6_xcmplx_0(A,C)))) = k5_numbers ) ) ) )).
fof(t23_sin_cos9,axiom,( r1_tarski(k1_rcomp_1(k4_xcmplx_0(1),1),k1_relset_1(k1_numbers,k1_sin_cos9)) )).
fof(t23_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k3_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k5_numbers))) )).
fof(t23_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => v1_finset_1(a_1_1_sppol_1(A)) ) )).
fof(t23_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & k3_topreal1(2,k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B)) != k4_subset_1(u1_struct_0(k15_euclid(2)),k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1))),k3_topreal1(2,B)) ) ) ) )).
fof(t23_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_rltopsp1(k15_euclid(2),k13_pscomp_1(A),k12_pscomp_1(A)) = a_1_0_sprect_1(A) ) )).
fof(t23_sprect_2,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,k4_finseq_1(A)) & r2_tarski(C,k4_finseq_1(A)) ) => r1_sprect_2(A,k3_finseq_6(u1_struct_0(k15_euclid(2)),A,B,C)) ) ) ) ) )).
fof(t23_sprect_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v4_topreal1(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(1,A) & r2_tarski(C,k2_topreal1(2,B,A)) & r2_tarski(D,k1_rltopsp1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),B,A),C)) ) => ( r1_xxreal_0(k3_finseq_1(B),A) | r1_jordan5c(k3_topreal1(2,B),k7_partfun1(u1_struct_0(k15_euclid(2)),B,1),k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)),D,C) ) ) ) ) ) ) )).
fof(t23_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & k19_pscomp_1(k3_topreal1(2,A)) != k20_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k19_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(t23_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(A,k5_numbers) => k3_square_1(k1_square_1(A)) = k4_xcmplx_0(A) ) ) )).
fof(t23_stacks_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [C] : ( m1_rewrite1(C,B) => ( r2_tarski(k1_funct_1(C,1),A) <=> v5_relat_1(C,A) ) ) ) ) )).
fof(t23_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ( B = k5_numbers => A = k5_numbers ) & ( A = k5_numbers => B = k5_numbers ) & r1_xxreal_0(A,B) & ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k5_card_1(B),k5_card_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k5_card_1(B),k5_card_1(A)))) ) => ~ ( v2_funct_2(C,k5_card_1(A)) & v1_stirl2_1(C,B,A) ) ) ) ) ) )).
fof(t23_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k16_substut1(A),k38_substut1(A)) => ! [C] : ( m2_subset_1(C,k16_substut1(A),k38_substut1(A)) => ( k19_substut1(A,B) = k19_substut1(A,C) => k39_substut1(A,k6_sublemma(A,B,C)) = k7_cqc_lang(A,k39_substut1(A,B),k39_substut1(A,C)) ) ) ) ) )).
fof(t23_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_xboole_0(B,C) <=> r1_tarski(B,k3_subset_1(A,C)) ) ) ) )).
fof(t23_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => r1_tarski(C,k4_substlat(A,B,C,C)) ) )).
fof(t23_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( v6_substut1(B,A) => ( ~ r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,B))),k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,k28_substut1(A,B))))) & ~ r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,B))),k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,k29_substut1(A,B))))) ) ) ) ) )).
fof(t23_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,D))) ) => ! [D] : ( m1_subset_1(D,k1_substut1(A)) => k7_cqc_sim1(A,k11_cqc_lang(A,C,B)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k11_cqc_lang(A,C,B),D))) ) ) ) ) ) )).
fof(t23_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v2_supinf_2(C,A,B) <=> v1_supinf_2(k14_supinf_2(A,B,C),A,k6_supinf_2(B)) ) ) ) ) )).
fof(t23_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( ~ r1_orders_2(B,D,C) => ( r1_orders_2(B,E,C) <=> k1_symsp_1(A,B,C,D,E) = k4_struct_0(A) ) ) ) ) ) ) ) )).
fof(t23_sysrel,axiom,( ! [A] : ( v1_relat_1(A) => ( ( ( r1_tarski(A,k3_relat_1(A,A)) & k3_relat_1(A,k6_subset_1(A,k4_relat_1(k10_xtuple_0(A)))) = k1_xboole_0 ) => k3_xboole_0(A,k4_relat_1(k10_xtuple_0(A))) = k4_relat_1(k10_xtuple_0(A)) ) & ( ( r1_tarski(A,k3_relat_1(A,A)) & k3_relat_1(k6_subset_1(A,k4_relat_1(k9_xtuple_0(A))),A) = k1_xboole_0 ) => k3_xboole_0(A,k4_relat_1(k9_xtuple_0(A))) = k4_relat_1(k9_xtuple_0(A)) ) ) ) )).
fof(t23_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ( ( v1_taxonom1(B,A) & v2_metric_1(B,A) & v3_metric_1(B,A) ) => r2_relset_1(A,A,k13_lang1(A,k1_taxonom1(A,B,k5_numbers)),k1_taxonom1(A,B,k5_numbers)) ) ) ) )).
fof(t23_taylor_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( v7_ordinal1(C) => ( r1_taylor_1(A,C,B) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,C) => r1_taylor_1(A,D,B) ) ) ) ) ) ) )).
fof(t23_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & r2_hidden(E,k2_rcomp_1(k4_xcmplx_0(A),A)) & ~ r1_xxreal_0(F,k5_numbers) & ~ r1_xxreal_0(1,F) & ~ ( ~ r1_xxreal_0(B,k9_complex1(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A)),D),k3_xcmplx_0(F,E)),k1_newton(E,D)),k2_newton(D)))) & ~ r1_xxreal_0(B,k9_complex1(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A)),D),k3_xcmplx_0(F,E)),k1_newton(E,D)),k2_newton(D)))) ) ) ) ) ) ) ) ) )).
fof(t23_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,k5_numbers) => r1_xxreal_0(k2_tbsp_1(A,k8_metric_1(A,B,C)),k3_xcmplx_0(2,C)) ) ) ) ) )).
fof(t23_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => v6_tops_1(k1_tops_1(A,k2_pre_topc(A,B)),A) ) ) )).
fof(t23_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k1_tdlat_2(A,k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)),k9_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_tdlat_2(A,B),k1_tdlat_2(A,C))) ) ) ) )).
fof(t23_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) => k2_pre_topc(A,B) = B ) ) ) ) )).
fof(t23_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v3_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r6_pboole(A,k3_termord(A,B,C,D),k2_polynom7(A,C,D)) & k4_termord(A,B,C,D) = k3_polynom7(A,C,D) & r8_pboole(k15_pre_poly(A),k5_termord(A,B,C,D),D) ) ) ) ) ) )).
fof(t23_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ( ~ v1_xboole_0(k6_subset_1(A,k6_domain_1(A,B))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_tex_1(A,B)))) => ( ( C = k6_subset_1(A,k6_domain_1(A,B)) => ( v3_pre_topc(C,k3_tex_1(A,B)) & v1_tops_1(C,k3_tex_1(A,B)) ) ) & ( ( v3_pre_topc(C,k3_tex_1(A,B)) & v1_tops_1(C,k3_tex_1(A,B)) ) => ( C = A | C = k6_subset_1(A,k6_domain_1(A,B)) ) ) ) ) ) ) ) )).
fof(t23_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v2_tex_2(B,A) | v2_tex_2(C,A) ) => v2_tex_2(k9_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t23_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_tops_1(B,A) & v3_pre_topc(B,A) & ! [C] : ( ( ~ v2_struct_0(C) & v1_pre_topc(C) & v1_tsep_1(C,A) & v1_tex_3(C,A) & m1_pre_topc(C,A) ) => B != u1_struct_0(C) ) ) ) ) )).
fof(t23_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v4_pre_topc(B,A) & r2_tarski(C,B) ) => r1_tarski(k2_tex_4(A,C),B) ) ) ) ) )).
fof(t23_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v10_pre_topc(A) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) ) => ~ ( v5_pre_topc(C,k1_pre_topc(A,B),k4_topmetr(k4_xcmplx_0(1),1)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & v5_pre_topc(D,A,k4_topmetr(k4_xcmplx_0(1),1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) ) => k2_partfun1(u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1)),D,B) != C ) ) ) ) ) ) )).
fof(t23_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v10_pre_topc(B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v2_compts_1(D,k15_euclid(A)) & v1_convex1(D,k15_euclid(A)) ) => ( v2_tops_1(D,k15_euclid(A)) | ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k1_pre_topc(B,C)),u1_struct_0(k1_pre_topc(k15_euclid(A),D))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B,C)),u1_struct_0(k1_pre_topc(k15_euclid(A),D))))) ) => ~ ( v5_pre_topc(E,k1_pre_topc(B,C),k1_pre_topc(k15_euclid(A),D)) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(k1_pre_topc(k15_euclid(A),D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k1_pre_topc(k15_euclid(A),D))))) ) => ~ ( v5_pre_topc(F,B,k1_pre_topc(k15_euclid(A),D)) & k2_partfun1(u1_struct_0(B),u1_struct_0(k1_pre_topc(k15_euclid(A),D)),F,C) = E ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( ( ~ v2_struct_0(E) & m1_pre_topc(E,A) ) => ( ( m1_pre_topc(D,B) & m1_pre_topc(E,C) ) => ( r1_tsep_1(D,E) | m1_pre_topc(k2_tsep_1(A,D,E),k2_tsep_1(A,B,C)) ) ) ) ) ) ) ) )).
fof(t23_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => r1_relset_1(A,A,k6_partfun1(A),B) ) )).
fof(t23_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_borsuk_6(A,B,C) & r1_borsuk_6(A,D,B) ) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ! [G] : ( m1_borsuk_2(G,A,D,B) => ( r3_borsuk_2(A,B,C,E,F) => r3_borsuk_2(A,B,C,E,k1_borsuk_2(A,B,B,C,k1_borsuk_2(A,B,D,B,k2_borsuk_2(A,D,B,G),G),F)) ) ) ) ) ) ) ) ) ) )).
fof(t23_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_borsuk_6(A,D,E) => r1_borsuk_6(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(t23_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_borsuk_2(I,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G)) => ! [J] : ( m1_borsuk_2(J,k2_borsuk_1(A,B),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H)) => ! [K] : ( m1_borsuk_2(K,A,C,D) => ! [L] : ( m1_borsuk_2(L,A,D,E) => ( ( r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G)) & r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),K,k3_topalg_4(A,B,k5_topmetr,I)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),L,k3_topalg_4(A,B,k5_topmetr,J)) ) => r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k3_topalg_4(A,B,k5_topmetr,k1_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H),I,J)),k1_borsuk_2(A,C,D,E,K,L)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_topalg_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_toprealb(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_topalg_2)) => ! [D] : ( m1_borsuk_2(D,k8_toprealb(2),A,B) => ~ ( r2_tarski(C,k8_relset_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k6_domain_1(u1_struct_0(k8_toprealb(2)),A))) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)))) ) => ~ ( k1_funct_1(E,k5_numbers) = C & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),D,k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),E,k12_toprealb)) & v5_pre_topc(E,k5_topmetr,k2_topalg_2) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2)))) ) => ( ( v5_pre_topc(F,k5_topmetr,k2_topalg_2) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k8_toprealb(2)),D,k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),F,k12_toprealb)) & k1_funct_1(F,k5_numbers) = C ) => r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),E,F) ) ) ) ) ) ) ) ) ) )).
fof(t23_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => ( v1_funct_1(B) & v4_topalg_6(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_topalg_2),u1_struct_0(A)))) ) ) ) )).
fof(t23_topdim_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( v9_pre_topc(B) => ( ( v3_topdim_1(B) & r1_xxreal_0(k4_topdim_1(B),A) ) <=> ! [C] : ( ( v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ~ ( ~ r2_tarski(D,C) & ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) => ~ ( r2_metrizts(B,k6_domain_1(u1_struct_0(B),D),C,E) & v1_topdim_1(E,B) & r1_xxreal_0(k2_topdim_1(B,E),k6_xcmplx_0(A,1)) ) ) ) ) ) ) ) ) ) )).
fof(t23_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( ( v5_waybel23(B) & v3_topdim_1(B) & r1_xxreal_0(k4_topdim_1(B),A) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ~ ( v1_tops_2(C,B) & m1_setfam_1(C,u1_struct_0(B)) & ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ~ ( v1_tops_2(D,B) & m1_setfam_1(D,u1_struct_0(B)) & r1_setfam_1(D,C) & r1_xxreal_0(k4_card_1(D),k2_nat_1(k4_card_1(C),k1_nat_1(A,1))) & r1_xxreal_0(k1_topdim_2(u1_struct_0(B),D),A) ) ) ) ) ) ) ) )).
fof(t23_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_topgen_1(B,A) <=> v3_pre_topc(k6_domain_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t23_topgen_2,axiom,( ! [A] : ! [B] : ( ~ v1_finset_1(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topgen_2(A,B)))) => ~ ( C = k1_tarski(B) & v3_pre_topc(C,k5_topgen_2(A,B)) ) ) ) )).
fof(t23_topgen_3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => k4_series_1(k7_nat_1(k1_numbers,k1_prepower(k7_xcmplx_0(1,2)),k1_nat_1(A,1))) = k1_newton(k7_xcmplx_0(1,2),A) ) )).
fof(t23_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(B,A) & v1_tops_2(C,A) ) => v1_tops_2(k2_topgen_4(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t23_topgen_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ( r1_xxreal_0(B,C) => r1_tarski(k1_topreal9(2,k19_euclid(A,B),B),k1_topreal9(2,k19_euclid(A,C),C)) ) ) ) ) )).
fof(t23_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v3_pre_topc(E,A) & m1_connsp_2(E,A,D) ) => ? [F] : ( m1_connsp_2(F,B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) & r1_tarski(F,k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) => v1_t_0topsp(C,A,B) ) ) ) ) )).
fof(t23_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_topmetr(C,D)))) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(A,B) & r1_xxreal_0(B,D) & E = k1_rcomp_1(A,B) ) => k4_topmetr(A,B) = k1_pre_topc(k4_topmetr(C,D),E) ) ) ) ) ) ) )).
fof(t23_topreal1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(A))) => ~ ( r1_xxreal_0(2,k3_finseq_1(B)) & k3_topreal1(A,B) = k1_xboole_0 ) ) ) )).
fof(t23_topreal3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) => ( ( r2_tarski(k19_euclid(C,B),k8_metric_1(k14_euclid(2),E,A)) & r2_tarski(k19_euclid(C,D),k8_metric_1(k14_euclid(2),E,A)) ) => r2_tarski(k19_euclid(C,k7_xcmplx_0(k2_xcmplx_0(B,D),2)),k8_metric_1(k14_euclid(2),E,A)) ) ) ) ) ) ) )).
fof(t23_topreal4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( m1_subset_1(G,u1_struct_0(k14_euclid(2))) => ~ ( B != C & r1_topreal4(E,C,D) & r1_tarski(E,A) & r2_tarski(B,k8_metric_1(k14_euclid(2),G,F)) & r2_tarski(D,k8_metric_1(k14_euclid(2),G,F)) & r1_tarski(k8_metric_1(k14_euclid(2),G,F),A) & ! [H] : ( m1_subset_1(H,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( r1_topreal4(H,C,B) & r1_tarski(H,A) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_topreal6,axiom,( ! [A] : ( v1_xreal_0(A) => ( k12_euclid(k19_euclid(k5_numbers,A)) = k9_complex1(A) & k12_euclid(k19_euclid(A,k5_numbers)) = k9_complex1(A) ) ) )).
fof(t23_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => k2_borsuk_1(k3_pcomps_1(A),k3_pcomps_1(B)) = k3_pcomps_1(k1_topreal7(A,B)) ) ) )).
fof(t23_topreal8,axiom,( ! [A] : ( ( v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( ~ r1_xxreal_0(k3_finseq_1(A),4) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(B,1) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(C,k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,B) = k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) ) ) ) ) ) )).
fof(t23_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ~ ( v1_xboole_0(k2_topreal9(A,C,B)) & r1_xxreal_0(k5_numbers,B) ) ) ) ) )).
fof(t23_topreala,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(D,B) ) => ( v4_pre_topc(k1_rcomp_1(C,D),k4_topmetr(A,B)) & m1_subset_1(k1_rcomp_1(C,D),k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B)))) ) ) ) ) ) ) )).
fof(t23_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_toprealb(2))) => ( A != B => m1_subset_1(B,u1_struct_0(k11_toprealb(A))) ) ) ) )).
fof(t23_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ( r2_tarski(C,k1_topreal9(A,D,B)) <=> r2_tarski(k4_algstr_0(k15_euclid(A),C),k1_topreal9(A,k4_algstr_0(k15_euclid(A),D),B)) ) ) ) ) ) )).
fof(t23_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => k12_euclid(k4_struct_0(k15_euclid(A))) = k5_numbers ) )).
fof(t23_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( v3_pre_topc(D,B) => k1_tops_1(B,D) = D ) & ( k1_tops_1(A,C) = C => v3_pre_topc(C,A) ) ) ) ) ) ) )).
fof(t23_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) => m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) )).
fof(t23_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_tops_1(B,A) & B = u1_struct_0(A) ) ) ) )).
fof(t23_tops_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)))) ) => ( v5_pre_topc(A,k3_topmetr,k3_topmetr) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(k3_topmetr)) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => ? [D] : ( v1_xreal_0(D) & v2_xxreal_0(D) & r1_tarski(k7_relset_1(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),A,k2_rcomp_1(k6_xcmplx_0(B,D),k2_xcmplx_0(B,D))),k2_rcomp_1(k6_xcmplx_0(k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),A,B),C),k2_xcmplx_0(k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr),A,B),C))) ) ) ) ) ) )).
fof(t23_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_transgeo(A) & l1_analoaf(A) ) => r3_transgeo(A,k6_partfun1(u1_struct_0(A))) ) )).
fof(t23_treal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & m1_pre_topc(A,k3_topmetr) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,k3_topmetr) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r1_xxreal_0(D,E) & r1_tarski(k1_rcomp_1(D,E),u1_struct_0(A)) & r1_tarski(k1_rcomp_1(D,E),u1_struct_0(B)) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k1_rcomp_1(D,E)),k1_rcomp_1(D,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) != D ) ) ) ) ) )).
fof(t23_trees_1,axiom,( ~ v1_xboole_0(k1_tarski(k1_xboole_0)) & v1_trees_1(k1_tarski(k1_xboole_0)) )).
fof(t23_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_finset_1(C) & m1_trees_2(C,A) ) => ~ ( ~ r1_xxreal_0(k4_card_1(C),B) & ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ~ ( r2_tarski(D,C) & r1_xxreal_0(B,k3_finseq_1(D)) ) ) ) ) ) ) )).
fof(t23_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v5_trees_3(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => ( ~ v1_xboole_0(k1_funct_1(A,B)) & v1_finset_1(k1_funct_1(A,B)) & v1_trees_1(k1_funct_1(A,B)) ) ) ) ) )).
fof(t23_trees_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( ~ ( r2_tarski(C,k10_xtuple_0(A)) & r2_tarski(C,k4_trees_2(A)) ) => k9_trees_4(A,B,C) = A ) ) ) )).
fof(t23_trees_9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v3_trees_3(A) ) => k9_trees_9(A) = k3_tarski(a_1_3_trees_9(A)) ) )).
fof(t23_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( m1_pre_topc(B,C) <=> k1_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) ) ) ) ) )).
fof(t23_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tsep_1(A,B,C) <=> r1_connsp_1(A,k7_subset_1(u1_struct_0(A),B,k9_subset_1(u1_struct_0(A),B,C)),k7_subset_1(u1_struct_0(A),C,k9_subset_1(u1_struct_0(A),B,C))) ) ) ) ) )).
fof(t23_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => r1_borsuk_1(A,B) ) ) )).
fof(t23_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( ( r1_xxreal_0(3,k3_finseq_1(D)) & r2_turing_1(k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,C),D),A,B) ) => ( r1_turing_1(A,B,C,k1_nat_1(k1_nat_1(C,k7_partfun1(k4_ordinal1,D,1)),2)) & r1_turing_1(A,B,k1_nat_1(k1_nat_1(C,k7_partfun1(k4_ordinal1,D,1)),2),k1_nat_1(k1_nat_1(k1_nat_1(C,k7_partfun1(k4_ordinal1,D,1)),k7_partfun1(k4_ordinal1,D,2)),4)) & r1_turing_1(A,B,k1_nat_1(k1_nat_1(k1_nat_1(C,k7_partfun1(k4_ordinal1,D,1)),k7_partfun1(k4_ordinal1,D,2)),4),k1_nat_1(k1_nat_1(k1_nat_1(k1_nat_1(C,k7_partfun1(k4_ordinal1,D,1)),k7_partfun1(k4_ordinal1,D,2)),k7_partfun1(k4_ordinal1,D,3)),6)) ) ) ) ) ) ) )).
fof(t23_twoscomp,axiom,( k1_funct_1(k16_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = 1 & k1_funct_1(k16_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,1)) = 1 & k1_funct_1(k16_twoscomp,k11_finseq_1(k5_numbers,1,k5_numbers)) = 1 & k1_funct_1(k16_twoscomp,k11_finseq_1(k5_numbers,1,1)) = 1 & k1_funct_1(k16_twoscomp,k11_finseq_1(1,k5_numbers,k5_numbers)) = k5_numbers & k1_funct_1(k16_twoscomp,k11_finseq_1(1,k5_numbers,1)) = 1 & k1_funct_1(k16_twoscomp,k11_finseq_1(1,1,k5_numbers)) = 1 & k1_funct_1(k16_twoscomp,k11_finseq_1(1,1,1)) = 1 )).
fof(t23_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_unialg_1(B) & m1_unialg_2(B,A) ) => ! [C] : ( ( v1_unialg_1(C) & m1_unialg_2(C,A) ) => k8_unialg_2(A,k5_unialg_2(A,B,C),C) = C ) ) ) )).
fof(t23_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => v4_lattice3(k12_unialg_2(A)) ) )).
fof(t23_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( r2_tarski(B,k2_uniroots(A)) => k9_complex1(B) = 1 ) ) ) )).
fof(t23_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k7_polynom5(A,k12_polynom3(A,B,C)) = k4_subset_1(u1_struct_0(A),k7_polynom5(A,B),k7_polynom5(A,C)) ) ) ) )).
fof(t23_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v10_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(B,A) & v4_pre_topc(C,A) & C != k1_xboole_0 & r1_tarski(C,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r1_tarski(C,D) & r1_tarski(k2_pre_topc(A,D),B) ) ) ) ) ) ) ) )).
fof(t23_urysohn2,axiom,( ! [A] : ( v7_ordinal1(A) => r1_tarski(k1_urysohn1(A),k2_urysohn1) ) )).
fof(t23_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_valuat_1(F,A,B) => ( r1_valuat_1(A,B,k8_cqc_lang(A,D,E),F,C) <=> ( k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,F,D),C) = k6_margrel1 | k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k8_valuat_1(A,B,F,E),C) = k7_margrel1 ) ) ) ) ) ) ) ) )).
fof(t23_valued_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ! [D] : ( ( v1_funct_1(D) & v3_funct_1(D) & v1_funct_2(D,k4_ordinal1,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,C))) ) => k8_nat_1(C,D,A) = k8_nat_1(C,D,B) ) ) ) )).
fof(t23_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( v7_ordinal1(C) => k61_valued_1(k1_funct_4(A,B),C) = k1_funct_4(k61_valued_1(A,C),k61_valued_1(B,C)) ) ) ) )).
fof(t23_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k24_valued_1(k30_valued_1(B),A) = k30_valued_1(k24_valued_1(B,A)) ) ) )).
fof(t23_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( m2_vectsp_4(k3_vectsp_4(A,B,D,C),A,B,C) & m1_subset_1(k3_vectsp_4(A,B,D,C),u1_struct_0(k6_vectsp10(A,B,C))) ) ) ) ) ) )).
fof(t23_vectsp11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v3_group_1(C) & v5_group_1(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l6_algstr_0(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,C) & v9_vectsp_1(D,C) & v10_vectsp_1(D,C) & v11_vectsp_1(D,C) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,C) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(D),u1_struct_0(D)) & v13_vectsp_1(E,D,D) & v1_mod_2(E,C,D,D) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(D)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( k3_funct_2(u1_struct_0(D),u1_struct_0(D),k1_vectsp11(D,E,A),F) = k4_struct_0(D) => k3_funct_2(u1_struct_0(D),u1_struct_0(D),k1_vectsp11(D,E,k2_xcmplx_0(A,B)),F) = k4_struct_0(D) ) ) ) ) ) ) ) )).
fof(t23_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => k3_vectsp_1(A,B,C,k5_algstr_0(B,D,E)) = k5_algstr_0(B,k3_vectsp_1(A,B,C,D),k3_vectsp_1(A,B,C,E)) ) ) ) ) ) )).
fof(t23_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_vectsp_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_vectsp_2(A))) => ( k3_vectsp_1(A,k2_vectsp_2(A),B,k3_rlvect_1(k2_vectsp_2(A),D,E)) = k3_rlvect_1(k2_vectsp_2(A),k3_vectsp_1(A,k2_vectsp_2(A),B,D),k3_vectsp_1(A,k2_vectsp_2(A),B,E)) & k3_vectsp_1(A,k2_vectsp_2(A),k3_rlvect_1(A,B,C),D) = k3_rlvect_1(k2_vectsp_2(A),k3_vectsp_1(A,k2_vectsp_2(A),B,D),k3_vectsp_1(A,k2_vectsp_2(A),C,D)) & k3_vectsp_1(A,k2_vectsp_2(A),k6_algstr_0(A,B,C),D) = k3_vectsp_1(A,k2_vectsp_2(A),B,k3_vectsp_1(A,k2_vectsp_2(A),C,D)) & k3_vectsp_1(A,k2_vectsp_2(A),k5_struct_0(A),D) = D ) ) ) ) ) ) )).
fof(t23_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_vectsp_4(E,A,B) => ( ( r1_struct_0(E,C) & r1_struct_0(E,D) ) => r1_struct_0(E,k5_algstr_0(B,C,D)) ) ) ) ) ) ) )).
fof(t23_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,k1_vectsp_5(A,B,C,D)) ) ) ) ) )).
fof(t23_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_vectsp_6(D,A,B) => r1_tarski(k1_vectsp_6(A,B,k5_vectsp_6(A,B,C,D)),k4_subset_1(u1_struct_0(B),k1_vectsp_6(A,B,C),k1_vectsp_6(A,B,D))) ) ) ) ) )).
fof(t23_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => v1_matrlin(k1_vectsp_4(A,B),A) ) ) )).
fof(t23_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k5_vfunct_1(A,B,C),k4_vfunct_1(A,B,C,k4_xcmplx_0(1))) ) ) ) )).
fof(t23_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k5_vfunct_1(A,B,C),k2_vfunct_2(A,B,C,k4_xcmplx_0(k6_complex1))) ) ) ) )).
fof(t23_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( v7_ordinal1(I) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,k1_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),G) = k3_rlvect_1(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,E),k1_nat_1(I,1)),G),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,F),k1_nat_1(I,1)),G)) ) ) ) ) ) ) ) ) ) )).
fof(t23_waybel10,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v4_yellow_0(B,A) & m1_yellow_0(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( ( ( v1_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v1_waybel_0(C,B) ) & ( ( v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => v2_waybel_0(C,B) ) ) ) ) ) )).
fof(t23_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) ) => k3_yellow_6(A,B) = k1_waybel11(A,B) ) ) )).
fof(t23_waybel12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ v1_xboole_0(a_2_0_waybel12(A,B)) ) ) )).
fof(t23_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ( ~ v2_struct_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A)))) & v4_yellow_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))),k2_yellow_1(u1_struct_0(k1_waybel_8(A)))) & v7_yellow_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))),k2_yellow_1(u1_struct_0(k1_waybel_8(A)))) & v4_waybel_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))),k2_yellow_1(u1_struct_0(k1_waybel_8(A)))) & m1_yellow_0(k1_yellow_1(k7_waybel_0(k1_waybel_8(A))),k2_yellow_1(u1_struct_0(k1_waybel_8(A)))) ) ) )).
fof(t23_waybel14,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => k5_waybel11(A) = u1_pre_topc(A) ) )).
fof(t23_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k12_lattice3(A,C,k1_yellow_0(A,B)) = k1_yellow_0(A,a_3_0_waybel15(A,B,C)) ) ) ) )).
fof(t23_waybel16,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_waybel16(B,A) => v2_waybel_6(B,A) ) ) ) )).
fof(t23_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r1_waybel_3(A,F,D) & r1_waybel_3(B,E,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F)) ) ) ) ) ) ) ) ) )).
fof(t23_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ( u1_struct_0(A) = u1_struct_0(B) => ! [C] : ( m3_yellow_9(C,A,B) => ! [D] : ( ( v1_tops_2(D,A) & v2_cantor_1(D,A) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [E] : ( ( v1_tops_2(E,B) & v2_cantor_1(E,B) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ( v1_tops_2(k2_xboole_0(D,E),C) & v2_cantor_1(k2_xboole_0(D,E),C) & m1_subset_1(k2_xboole_0(D,E),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) ) ) ) ) ) ) ) )).
fof(t23_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v21_waybel_0(C,A,B) => v5_orders_3(C,A,B) ) ) ) ) )).
fof(t23_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_yellow_0(C,A) & m1_yellow_0(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v4_yellow_0(D,B) & m1_yellow_0(D,B) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & u1_struct_0(C) = u1_struct_0(D) & v3_waybel_0(C,A) ) => v3_waybel_0(D,B) ) ) ) ) ) )).
fof(t23_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => ( r2_yellow_0(A,k7_domain_1(B,C,D)) => ( r2_yellow_0(k5_yellow_0(A,B),k7_domain_1(B,C,D)) & k2_yellow_0(k5_yellow_0(A,B),k7_domain_1(B,C,D)) = k2_yellow_0(A,k7_domain_1(B,C,D)) ) ) ) ) ) ) )).
fof(t23_waybel24,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v3_orders_2(k3_waybel_3(A,B,C)) & v4_orders_2(k3_waybel_3(A,B,C)) & v5_orders_2(k3_waybel_3(A,B,C)) & v1_lattice3(k3_waybel_3(A,B,C)) & v2_lattice3(k3_waybel_3(A,B,C)) & v3_lattice3(k3_waybel_3(A,B,C)) & l1_orders_2(k3_waybel_3(A,B,C)) ) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_yellow_1(A,B)))) => ! [D] : ( m1_subset_1(D,A) => k4_waybel_3(A,B,k2_yellow_0(k4_yellow_1(A,B),C),D) = k2_yellow_0(k3_waybel_3(A,B,D),k5_waybel_3(A,B,D,C)) ) ) ) ) ) )).
fof(t23_waybel25,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v3_pre_topc(B,k1_waybel25(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_waybel25(A)))) ) => v13_waybel_0(B,k1_waybel25(A)) ) ) )).
fof(t23_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & v1_waybel25(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & v6_pre_topc(C) & v1_waybel25(C) & l1_pre_topc(C) ) => ( ( r1_waybel18(B,C) & v3_lattice3(k1_waybel26(A,C)) & v3_waybel_3(k1_waybel26(A,C)) ) => ( v3_lattice3(k1_waybel26(A,B)) & v3_waybel_3(k1_waybel26(A,B)) ) ) ) ) ) )).
fof(t23_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_waybel27(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_waybel27(A,B))) => ( r3_orders_2(k2_waybel27(A,B),C,D) <=> ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r3_orders_2(B,k3_waybel27(A,B,C,E),k3_waybel27(A,B,D,E)) ) ) ) ) ) ) )).
fof(t23_waybel28,axiom,( ! [A] : ! [B] : ( r1_tarski(A,B) => r2_tarski(A,k1_yellow_6(B)) ) )).
fof(t23_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v4_waybel11(C) & m1_yellow_9(C,k1_yellow_1(u1_pre_topc(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_waybel24(A,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_waybel24(A,C))) => ( r3_orders_2(k3_waybel24(A,C),D,E) => r1_tarski(k5_waybel26(D),k5_waybel26(E)) ) ) ) ) ) ) )).
fof(t23_waybel30,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v2_waybel19(A) & v2_waybel_2(A) & l1_waybel_9(A) ) => ( v3_waybel_3(k1_yellow_1(k5_waybel11(A))) => ( v8_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,A)))) => ( B = u1_orders_2(A) => v4_pre_topc(B,k2_borsuk_1(A,A)) ) ) ) ) ) )).
fof(t23_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => ~ ( ~ v1_finset_1(C) & v1_finset_1(a_3_2_waybel31(A,B,C)) ) ) ) ) )).
fof(t23_waybel32,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k2_waybel32(A,B))) = a_2_2_waybel32(A,B) ) ) )).
fof(t23_waybel33,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m2_yellow_9(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(C,A) => ( v3_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) & ( v4_pre_topc(C,A) => ( v4_pre_topc(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) ) )).
fof(t23_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v3_waybel_3(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_waybel34(k1_waybel34(A,B,C),B,A) => v22_waybel_0(C,A,B) ) ) ) ) )).
fof(t23_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel_4(B,A) & v2_waybel_4(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_yellow_0(A,k4_waybel35(A,B,C,D)) ) => v4_waybel35(k6_waybel35(A,B,C),A) ) ) ) ) )).
fof(t23_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v12_waybel_0(B,A) <=> r1_tarski(k3_waybel_0(A,B),B) ) ) ) )).
fof(t23_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => r3_waybel_1(A,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,E),k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,k6_domain_1(u1_struct_0(B),E))) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_partfun1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),D,C),k3_struct_0(B)) ) ) ) ) ) )).
fof(t23_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & l1_waybel_0(C,A) ) => k2_relset_1(u1_struct_0(A),u1_waybel_0(A,k3_waybel_2(A,B,C))) = k3_yellow_4(A,k6_domain_1(u1_struct_0(A),B),k2_relset_1(u1_struct_0(A),u1_waybel_0(A,C))) ) ) ) )).
fof(t23_waybel_3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v1_waybel_3(B,A) ) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,B) & r2_orders_2(A,C,D) ) ) ) ) ) ) )).
fof(t23_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & l1_orders_2(A) ) => k5_waybel_0(A,k3_yellow_0(A)) = k6_domain_1(u1_struct_0(A),k3_yellow_0(A)) ) )).
fof(t23_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ( v3_waybel_3(A) <=> ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,C),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,C),u1_struct_0(A)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( E = a_4_0_waybel_5(A,B,C,D) => k5_yellow_2(A,k4_waybel_5(A,k6_waybel_5(B,C,u1_struct_0(A),D))) = k1_yellow_0(A,E) ) ) ) ) ) ) ) )).
fof(t23_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_waybel_6(B,A) <=> ! [C] : ( ( ~ v1_xboole_0(C) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r3_orders_2(A,B,k1_yellow_0(A,C)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r2_tarski(D,C) & r3_orders_2(A,B,D) ) ) ) ) ) ) ) )).
fof(t23_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,A) & v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_subset_1(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & v12_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_waybel_7(D,A) & r1_tarski(B,D) & r1_subset_1(D,C) ) ) ) ) ) ) )).
fof(t23_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,k2_struct_0(k1_waybel_8(A))),k2_struct_0(k1_waybel_8(k1_yellow_2(A,A,B)))) ) ) ) )).
fof(t23_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k8_yellow_6(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k8_yellow_6(A,B))) => m1_subset_1(k2_xboole_0(C,D),u1_struct_0(k8_yellow_6(A,B))) ) ) ) ) )).
fof(t23_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_tarski(u1_struct_0(k5_weddwitt(A,B)),u1_struct_0(A)) ) ) )).
fof(t23_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( v2_compts_1(B,k3_pcomps_1(A)) => ( B = k1_xboole_0 | ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( E = k1_funct_1(k6_weierstr(A,B),C) & F = k1_funct_1(k6_weierstr(A,B),D) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(E,F)),k3_metric_1(A,C,D)) ) ) ) ) ) ) ) ) ) )).
fof(t23_wellord1,axiom,( ! [A] : ( v1_relat_1(A) => k2_wellord1(A,k1_relat_1(A)) = A ) )).
fof(t23_wellord2,axiom,( ! [A] : r1_tarski(k1_wellord2(A),k2_zfmisc_1(A,A)) )).
fof(t23_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_rat_1(C) => ( ( C = k7_xcmplx_0(B,A) & r1_int_2(B,A) ) => ( A = k5_numbers | ( B = k2_rat_1(C) & A = k1_rat_1(C) ) ) ) ) ) ) )).
fof(t23_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k3_xboole_0(A,k2_xboole_0(B,C)) = k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)) )).
fof(t23_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k5_xboolean(A,k7_xboolean(B,C)) = k4_xboolean(k5_xboolean(k5_xboolean(A,k3_xboolean(B)),C),k5_xboolean(k5_xboolean(A,k3_xboolean(C)),B)) ) ) ) )).
fof(t23_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k6_xcmplx_0(k6_xcmplx_0(C,A),k6_xcmplx_0(C,B)) = k6_xcmplx_0(B,A) ) ) ) )).
fof(t23_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k6_xcmplx_0(A,B),k2_xcmplx_0(C,D)) => r1_xxreal_0(k6_xcmplx_0(A,D),k2_xcmplx_0(C,B)) ) ) ) ) ) )).
fof(t23_xtuple_0,axiom,( ! [A] : ! [B] : k9_xtuple_0(k2_xboole_0(A,B)) = k2_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)) )).
fof(t23_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ~ ( ~ r1_xxreal_0(k3_xxreal_0(B,C),A) & r1_xxreal_0(B,A) ) ) ) ) )).
fof(t23_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_tarski(k3_xxreal_1(A,B),k1_xxreal_1(A,B)) ) ) )).
fof(t23_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m1_xxreal_2(B,k2_xxreal_1(A,B)) ) ) )).
fof(t23_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ( ( A = k1_xxreal_0 => k2_xxreal_3(A) = k2_xxreal_0 ) & ( k2_xxreal_3(A) = k2_xxreal_0 => A = k1_xxreal_0 ) & ( A = k2_xxreal_0 => k2_xxreal_3(A) = k1_xxreal_0 ) & ( k2_xxreal_3(A) = k1_xxreal_0 => A = k2_xxreal_0 ) ) ) )).
fof(t23_yellow10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v24_waybel_0(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B))) => ( ( v1_waybel_3(k8_yellow_3(A,B,C),A) & v1_waybel_3(k9_yellow_3(A,B,C),B) ) => v1_waybel_3(C,k3_yellow_3(A,B)) ) ) ) ) )).
fof(t23_yellow12,axiom,( ! [A] : ( ( v5_orders_2(A) & l1_orders_2(A) ) => r1_relset_1(u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(A)),k9_subset_1(k2_zfmisc_1(u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(A))),u1_orders_2(A),u1_orders_2(k7_lattice3(A))),k6_partfun1(u1_struct_0(A))) ) )).
fof(t23_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_yellow_8(C,A,B) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => m1_yellow13(C,A,B) ) ) ) )).
fof(t23_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v3_yellow_8(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( C = D & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) ) => v3_yellow_8(D,B) ) ) ) ) ) )).
fof(t23_yellow15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v3_waybel23(k2_struct_0(A),A) & v4_waybel23(k2_struct_0(A),A) ) ) )).
fof(t23_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r4_yellow16(B,A) => v24_waybel_0(B) ) ) ) )).
fof(t23_yellow17,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v4_waybel_3(B) & v1_waybel18(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v1_compts_1(k4_waybel18(A,B,C)) ) => v1_compts_1(k3_waybel18(A,B)) ) ) ) )).
fof(t23_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r2_yellow18(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k1_altcat_1(A,C,D) != k1_xboole_0 & k1_altcat_1(A,D,C) != k1_xboole_0 & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & ? [F] : ( m1_subset_1(F,u1_struct_0(B)) & E = C & F = D & ? [G] : ( m1_subset_1(G,k1_altcat_1(A,C,D)) & ? [H] : ( m1_subset_1(H,k1_altcat_1(B,F,E)) & H = G & ~ ( v3_altcat_3(G,A,C,D) <=> v3_altcat_3(H,B,F,E) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( r1_waybel_0(A,C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_waybel_9(A,C,D) => r2_tarski(D,B) ) ) ) ) ) ) ) )).
fof(t23_yellow20,axiom,( ! [A] : ( l2_altcat_1(A) => ! [B] : ( l2_altcat_1(B) => ( r1_yellow20(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_yellow20(A,B))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_yellow20(A,B))) => ( ( G = C & G = E & H = D & H = F ) => ( k1_altcat_1(A,C,D) = k1_xboole_0 | k1_altcat_1(B,E,F) = k1_xboole_0 | ! [I] : ( m1_subset_1(I,k1_altcat_1(A,C,D)) => ! [J] : ( m1_subset_1(J,k1_altcat_1(B,E,F)) => ( I = J => r2_tarski(I,k1_altcat_1(k2_yellow20(A,B),G,H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t23_yellow_0,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( D = k12_lattice3(A,B,C) <=> ( r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_orders_2(A,E,B) & r1_orders_2(A,E,C) ) => r1_orders_2(A,E,D) ) ) ) ) ) ) ) ) )).
fof(t23_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k3_yellow_0(k1_yellow_1(u1_pre_topc(A))) = k1_xboole_0 ) )).
fof(t23_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ! [B] : r1_yellow_0(A,B) <=> ! [B] : r2_yellow_0(A,B) ) ) )).
fof(t23_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( v2_waybel_0(k6_yellow_3(A,B,C,D),k3_yellow_3(A,B)) => ( v2_waybel_0(C,A) & v2_waybel_0(D,B) ) ) ) ) ) ) )).
fof(t23_yellow_4,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r1_lattice3(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B),C) ) ) ) )).
fof(t23_yellow_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_yellow_5(A,k3_yellow_0(A),B) = k3_yellow_0(A) ) ) )).
fof(t23_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ! [D] : ( m2_yellow_6(D,A,B) => ( D = k4_yellow_6(A,B,C) => r1_waybel_0(A,D,C) ) ) ) ) )).
fof(t23_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k13_lattice3(A,B,C) = k12_lattice3(k7_lattice3(A),k8_lattice3(A,B),k8_lattice3(A,C)) ) ) ) )).
fof(t23_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v6_pre_topc(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_pre_topc(A,k6_domain_1(u1_struct_0(A),B)) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C)) => B = C ) ) ) ) ) )).
fof(t23_yellow_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) <=> ( v1_tops_2(k2_cantor_1(u1_struct_0(A),B),A) & v1_cantor_1(k2_cantor_1(u1_struct_0(A),B),A) & m1_subset_1(k2_cantor_1(u1_struct_0(A),B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(t23_zf_fund1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( v8_zf_fund1(B,A) => ( r2_tarski(C,B) & r2_tarski(k2_ordinal4(A),B) & r2_tarski(k3_ordinal4(A),B) ) ) ) ) ) )).
fof(t23_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ~ ( ~ ( v2_zf_lang(A) & k1_funct_1(A,1) = k5_numbers ) & ~ ( v3_zf_lang(A) & k1_funct_1(A,1) = 1 ) & ~ ( v4_zf_lang(A) & k1_funct_1(A,1) = 2 ) & ~ ( v5_zf_lang(A) & k1_funct_1(A,1) = 3 ) & ~ ( v6_zf_lang(A) & k1_funct_1(A,1) = 4 ) ) ) )).
fof(t23_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v8_zf_lang(A) => k20_zf_lang(A) = k19_zf_lang(k20_zf_lang(k19_zf_lang(A))) ) ) )).
fof(t23_zf_model,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( m2_subset_1(B,k4_ordinal1,k1_zf_lang) => ! [C] : ( ~ v1_xboole_0(C) => ( r2_zf_model(C,k7_zf_lang(B,A)) <=> r2_zf_model(C,A) ) ) ) ) )).
fof(t23_zfmisc_1,axiom,( ! [A] : ! [B] : ( A != B => k5_xboole_0(k1_tarski(A),k1_tarski(B)) = k2_tarski(A,B) ) )).
fof(t23_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r1_zfmodel1(k6_partfun1(A),A) ) )).
fof(t23_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => r2_ordinal2(k1_ordinal1(A),1) ) )).
fof(t23_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( m1_zmodul01(D,A) => ( ( r1_struct_0(C,B) & m1_zmodul01(C,D) ) => r1_struct_0(D,B) ) ) ) ) )).
fof(t23_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ( k18_zmodul02(A,B) = k1_xboole_0 => k21_zmodul02(A,B) = k4_struct_0(A) ) ) ) )).
fof(t23_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_vectsp_6(D,k9_int_3(A),k12_zmodul02(A,B)) => ? [E] : ( m2_zmodul02(E,B,C) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( r2_tarski(F,C) & ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ~ ( r2_tarski(G,C) & r2_tarski(G,k13_zmodul02(A,B,F)) & k3_funct_2(u1_struct_0(B),k4_numbers,E,G) = k3_funct_2(u1_struct_0(k12_zmodul02(A,B)),u1_struct_0(k9_int_3(A)),D,k13_zmodul02(A,B,F)) ) ) ) ) ) ) ) ) ) )).
fof(t23_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_zmodul01(C,A) => ! [D] : ( ( v1_zmodul01(D) & m1_zmodul01(D,A) ) => ! [E] : ( ( v1_zmodul01(E) & m1_zmodul01(E,A) ) => ( ( D = k4_zmodul01(B) & E = k4_zmodul01(C) ) => k7_zmodul01(A,D,E) = k7_zmodul01(A,B,C) ) ) ) ) ) ) )).
fof(t23_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_struct_0(k4_zmodul05(A,B,C),D) <=> ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & D = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) ) ) ) ) ) ) )).
fof(t23_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_zmodul02(B,A) & v1_zmodul02(C,A) & k9_subset_1(u1_struct_0(A),B,C) = k1_xboole_0 & ~ v1_zmodul02(k4_subset_1(u1_struct_0(A),B,C),A) & k7_zmodul01(A,k33_zmodul02(A,B),k33_zmodul02(A,C)) = k3_zmodul01(A) ) ) ) ) )).
fof(t240_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k4_xxreal_1(B,C),k1_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t241_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k2_xxreal_1(B,C),k2_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t242_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => r1_tarski(k1_xxreal_1(B,C),k3_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t243_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => r1_tarski(k2_xxreal_1(B,C),k3_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t244_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k4_xxreal_1(B,C),k3_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t245_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k3_xxreal_1(B,C),k3_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t246_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k4_xxreal_1(B,C),k2_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t247_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k4_xxreal_1(B,C),k4_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t248_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(B,A) => r1_tarski(k2_xxreal_1(B,C),k4_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t249_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(B,A) => r1_tarski(k1_xxreal_1(B,C),k4_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t24_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ( r2_tarski(C,k2_abcmiz_0(A,B)) => ( r1_abcmiz_0(A,B,C) & k5_abcmiz_0(A,B,C) = B ) ) ) ) ) )).
fof(t24_abcmiz_1,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_abcmiz_1)) ) => ( v1_finset_1(k1_abcmiz_1(A)) & m1_subset_1(k1_abcmiz_1(A),k1_zfmisc_1(k2_abcmiz_1)) ) ) )).
fof(t24_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ( v6_abcmiz_1(B,A) & v8_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) <=> ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B,k1_xboole_0))) = k7_abcmiz_1 ) ) ) ) )).
fof(t24_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r4_absred_0(A,B,C) & r2_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t24_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => k1_absvalue(A) = k1_absvalue(k7_xcmplx_0(1,A)) ) )).
fof(t24_aescip_1,axiom,( ! [A] : ( m2_finseq_2(A,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k7_aescip_1,k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k6_aescip_1,A)) = A ) )).
fof(t24_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( D = k2_aff_1(A,B,C) => ( B = C | ( v1_aff_1(D,A) & r2_tarski(B,D) & r2_tarski(C,D) & B != C ) ) ) & ( ( v1_aff_1(D,A) & r2_tarski(B,D) & r2_tarski(C,D) ) => ( B = C | ( B != C & D = k2_aff_1(A,B,C) ) ) ) ) ) ) ) ) )).
fof(t24_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_4(D,A) & v1_aff_4(E,A) & r2_tarski(B,D) & r2_tarski(C,D) & r2_tarski(B,E) & r2_tarski(C,E) ) => ( D = E | B = C | v1_aff_1(k9_subset_1(u1_struct_0(A),D,E),A) ) ) ) ) ) ) ) )).
fof(t24_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => r1_tarski(k10_xtuple_0(A),k10_xtuple_0(k1_ordinal4(A,B))) ) ) )).
fof(t24_afinsq_2,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => ! [B] : ( ( v1_finset_1(B) & v6_membered(B) ) => ( r1_afinsq_2(A,B) => r1_xboole_0(A,B) ) ) ) )).
fof(t24_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(k14_afproj(A))) <=> ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & B = k6_afproj(A,C) & v1_aff_4(C,A) ) ) ) )).
fof(t24_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_afvect0(A,B,C,D) & r2_afvect0(A,B,E,F) & r1_afvect0(A,C,E) ) => D = F ) ) ) ) ) ) ) )).
fof(t24_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_algspec1(B,A) => ! [C] : ( r2_tarski(C,k10_xtuple_0(A)) => ( r2_tarski(k1_funct_1(B,C),k9_xtuple_0(A)) & k1_funct_1(A,k1_funct_1(B,C)) = C ) ) ) ) )).
fof(t24_algstr_4,axiom,( ! [A] : ( A = k1_xboole_0 <=> k12_algstr_4(A) = k1_xboole_0 ) )).
fof(t24_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_altcat_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_altcat_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_altcat_1(A))) => ( ~ ( B = C & C = D ) => k4_altcat_1(u1_struct_0(k9_altcat_1(A)),u1_altcat_1(k9_altcat_1(A)),u2_altcat_1(k9_altcat_1(A)),B,C,D) = k1_xboole_0 ) ) ) ) ) )).
fof(t24_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & m1_altcat_2(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & m1_altcat_2(C,A) ) => ( ( r1_tarski(u1_struct_0(B),u1_struct_0(C)) & r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)),u1_altcat_1(B),u1_altcat_1(C)) ) => m1_altcat_2(B,C) ) ) ) ) )).
fof(t24_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => v1_altcat_3(D,A,B,C) ) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) => ~ ( k1_altcat_1(A,B,C) != k1_xboole_0 & k1_altcat_1(A,C,B) != k1_xboole_0 & ~ v3_altcat_3(D,A,B,C) ) ) ) ) ) ) )).
fof(t24_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v16_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => ( v3_altcat_3(F,A,D,E) => ( k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | v3_altcat_3(k8_functor0(A,B,C,D,E,F),B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D)) ) ) ) ) ) ) ) ) )).
fof(t24_ami_2,axiom,( ! [A] : ( v7_ordinal1(A) => r2_hidden(k4_tarski(1,A),k2_ami_2) ) )).
fof(t24_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) <=> ~ ( A != k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k2_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k3_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k4_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k5_ami_3(B,C) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => A != k6_ami_3(B,C) ) ) & ! [B] : ( v7_ordinal1(B) => A != k7_ami_3(B) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( v7_ordinal1(C) => A != k8_ami_3(C,B) ) ) & ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_ami_3)) ) => ! [C] : ( v7_ordinal1(C) => A != k9_ami_3(C,B) ) ) ) ) )).
fof(t24_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_ami_3)) & v1_funct_1(A) & v1_finset_1(A) & ~ v2_compos_1(A,k1_ami_3) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_finset_1(B) & v4_extpro_1(B,k5_card_1(2),k1_ami_3,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(k1_ami_3)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(C,u1_struct_0(k1_ami_3)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_ami_3)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(D,u1_struct_0(k1_ami_3)) ) => ( ( r1_tarski(B,C) & r1_tarski(B,D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_ami_3)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_ami_3)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ( ( r1_tarski(A,E) & r1_tarski(A,F) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( ( v1_ami_2(H) & m1_subset_1(H,u1_struct_0(k1_ami_3)) ) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( m1_subset_1(J,u1_compos_1(k1_ami_3)) => ( ( J = k3_extpro_1(k5_card_1(2),k1_ami_3,E,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)) & J = k9_ami_3(I,H) ) => ( I = k1_nat_1(k5_memstr_0(k5_card_1(2),k1_ami_3,k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G)),1) | ( ~ ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H),k5_numbers) & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H),k5_numbers) ) & ~ ( ~ r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,F,D,G),H),k5_numbers) & r1_xxreal_0(k1_funct_1(k5_extpro_1(k5_card_1(2),k1_ami_3,E,C,G),H),k5_numbers) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k8_compos_0(u1_compos_1(k1_ami_3),k8_ami_3(B,A),C) = k8_ami_3(k2_xcmplx_0(B,C),A) ) ) ) )).
fof(t24_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => v5_amistd_1(k17_funcop_1(k1_ami_wstd(A,B,k5_numbers),k2_compos_1(B)),A,B) ) ) )).
fof(t24_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analmetr(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analmetr(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_analmetr(A,B,C))) => ( r4_analmetr(k2_analmetr(A,B,C),D,F,E,G) => r4_analmetr(k2_analmetr(A,B,C),D,F,G,E) ) ) ) ) ) ) ) ) )).
fof(t24_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( v1_xreal_0(E) & ? [F] : ( v1_xreal_0(F) & k3_rlvect_1(A,k1_rlvect_1(A,B,E),k1_rlvect_1(A,C,F)) = D ) ) ) ) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_analoaf(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k2_analoaf(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analoaf(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analoaf(A))) => ~ ( ~ r2_analoaf(k2_analoaf(A),B,C,D,E) & ~ r2_analoaf(k2_analoaf(A),B,C,E,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analoaf(A))) => ~ ( ( r2_analoaf(k2_analoaf(A),B,C,B,F) | r2_analoaf(k2_analoaf(A),B,C,F,B) ) & ( r2_analoaf(k2_analoaf(A),D,E,D,F) | r2_analoaf(k2_analoaf(A),D,E,F,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r1_analmetr(A,D,E) => r3_analmetr(A,B,C,k2_analort(A,D,E,B),k2_analort(A,D,E,C),D,E) ) ) ) ) ) ) )).
fof(t24_anproj_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v2_struct_0(D) & ~ v7_struct_0(D) & v13_algstr_0(D) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & v7_rlvect_1(D) & v8_rlvect_1(D) & l1_rlvect_1(D) ) => ~ ( r2_hidden(k3_xtuple_0(A,B,C),u1_collsp(k5_anproj_1(D))) & ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => ~ ( A = k2_anproj_1(D,E) & B = k2_anproj_1(D,F) & C = k2_anproj_1(D,G) & ~ v9_struct_0(E,D) & ~ v9_struct_0(F,D) & ~ v9_struct_0(G,D) & r2_anproj_1(D,E,F,G) ) ) ) ) ) ) )).
fof(t24_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_anproj_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_anproj_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_anproj_1(A))) => ( r1_collsp(k5_anproj_1(A),B,C,D) => ( r1_collsp(k5_anproj_1(A),B,D,C) & r1_collsp(k5_anproj_1(A),C,B,D) & r1_collsp(k5_anproj_1(A),D,C,B) & r1_collsp(k5_anproj_1(A),D,B,C) & r1_collsp(k5_anproj_1(A),C,D,B) ) ) ) ) ) ) )).
fof(t24_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & C = k3_tarski(a_2_1_aofa_000(A,B)) & v1_unialg_2(C,A) ) ) ) )).
fof(t24_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : ( ( v1_relat_1(I) & v1_funct_1(I) & v1_finseq_1(I) ) => ( I = k8_aofa_a00(A,B,C,D,E,F,G,H) <=> ( k3_finseq_1(I) = 8 & k1_funct_1(I,1) = A & k1_funct_1(I,2) = B & k1_funct_1(I,3) = C & k1_funct_1(I,4) = D & k1_funct_1(I,5) = E & k1_funct_1(I,6) = F & k1_funct_1(I,7) = G & k1_funct_1(I,8) = H ) ) ) )).
fof(t24_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u4_struct_0(A)) => ( k1_msualg_1(A,E) = k3_finseq_4(u1_struct_0(A),B,C,D) => ! [F] : ( l3_msualg_1(F,A) => k3_msualg_1(A,E,F) = k4_card_3(k3_finseq_4(k10_xtuple_0(u3_msualg_1(A,F)),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),B),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),C),k1_msafree4(u1_struct_0(A),u3_msualg_1(A,F),D))) ) ) ) ) ) ) ) )).
fof(t24_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m2_funct_2(C,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [E] : ( ( v1_aofa_i00(E,A,B,D) & m1_aofa_000(E,A,k9_funct_2(B,k4_numbers),D) ) => ! [F] : ( m2_aofa_i00(F,A,B,D,E) => ! [G] : ( m3_aofa_i00(G,A,B,D,E) => ( k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),E,C,k44_aofa_i00(A,B,D,E,F,G)),k3_funct_2(k9_funct_2(B,k4_numbers),B,F,C)) = k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,G,C) & ! [H] : ( m1_subset_1(H,B) => ( H != k3_funct_2(k9_funct_2(B,k4_numbers),B,F,C) => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),E,C,k44_aofa_i00(A,B,D,E,F,G)),H) = k21_aofa_i00(B,k4_numbers,C,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_aofa_l00,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( ( ~ v11_struct_0(D) & v1_instalg1(D) & v2_aofa_l00(D,A) & l1_msualg_1(D) ) => ! [E] : ( ( v15_aofa_l00(E,A,D,B) & l3_msualg_1(E,D) ) => m3_pboole(k2_aofa_l00(C,u1_struct_0(D),k1_xboole_0),u1_struct_0(D),u3_msualg_1(D,E)) ) ) ) ) ) )).
fof(t24_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v6_armstrng(a_2_0_armstrng(A,B),A) & m1_subset_1(a_2_0_armstrng(A,B),k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) ) ) )).
fof(t24_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( r2_tarski(k5_arytm_0(A,B),k1_numbers) => B = k5_numbers ) ) ) )).
fof(t24_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( r1_arytm_2(B,A) => k2_arytm_1(A,k7_arytm_2(B,C)) = k2_arytm_1(k1_arytm_1(A,B),C) ) ) ) ) )).
fof(t24_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ( k4_arytm_3(A,1) = A & k4_arytm_3(1,A) = 1 ) ) )).
fof(t24_asympt_0,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_asympt_0(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_limfunc1(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) => ( ~ r2_tarski(B,k7_asympt_0(A)) & r2_tarski(A,k7_asympt_0(B)) ) ) ) ) )).
fof(t24_asympt_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( ! [B] : ( m1_subset_1(B,k4_ordinal1) => k8_nat_1(k1_numbers,A,B) = k2_power(k2_xcmplx_0(k6_xcmplx_0(k1_square_1(B),B),1),4) ) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r2_funct_2(k4_ordinal1,k1_numbers,B,A) & k6_asympt_0(k3_asympt_1(8)) = k6_asympt_0(B) ) ) ) ) )).
fof(t24_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => r2_tarski(k2_msualg_3(u1_struct_0(A),u3_msualg_1(A,B)),k5_autalg_1(A,B)) ) ) )).
fof(t24_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A,B)),k6_autgroup(A,B)),k6_autgroup(A,k1_group_1(A))) ) ) )).
fof(t24_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => v2_bagorder(k4_bagorder(A),A) ) )).
fof(t24_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v5_ordinal1(C) & v1_funct_1(C) & v1_finset_1(C) ) => ( r2_tarski(C,k2_catalan2(k2_xcmplx_0(A,B),B)) <=> r2_tarski(k8_finseq_1(k4_ordinal1,k12_finseq_1(k4_ordinal1,k5_numbers),k10_afinsq_1(k4_ordinal1,C)),k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)) ) ) ) ) )).
fof(t24_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k5_bcialg_1(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_bcialg_1(A,C,k1_bcialg_1(A,C,B)) = B ) ) ) ) )).
fof(t24_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v10_bcialg_1(k2_bcialg_1(A,B),A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bcialg_1(A,C,B) => k2_bcialg_1(A,B) = k2_bcialg_1(A,C) ) ) ) ) ) )).
fof(t24_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & v6_bcialg_3(A) & l2_bcialg_1(A) ) => ( v7_bcialg_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v2_bcialg_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_bcialg_1(A,C,k1_bcialg_1(A,B,D)) => r1_bcialg_1(A,D,k1_bcialg_1(A,B,C)) ) ) ) ) ) ) ) )).
fof(t24_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k6_bcialg_4(A,B,3) = k1_bcialg_4(A,k1_bcialg_4(A,B,B),B) ) ) )).
fof(t24_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( k3_bcialg_5(A,B,C,D) != A & k3_bcialg_5(A,B,C,D) != B & k3_bcialg_5(A,B,C,D) != C & k3_bcialg_5(A,B,C,D) != D ) ) ) ) ) )).
fof(t24_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k5_bcialg_1(A)) => ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => k2_bcialg_6(A,B,k2_xcmplx_0(C,D)) = k1_bcialg_1(A,k2_bcialg_6(A,B,C),k2_bcialg_1(A,k2_bcialg_6(A,B,D))) ) ) ) ) )).
fof(t24_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v19_bcialg_1(A) & l2_bcialg_1(A) ) => ( v3_bciideal(k1_tarski(k4_struct_0(A)),A) & m2_bcialg_1(k1_tarski(k4_struct_0(A)),A) ) ) ) )).
fof(t24_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bhsp_1(A,B,C) => k2_bhsp_1(A,k3_rlvect_1(A,B,C),k3_rlvect_1(A,B,C)) = k2_xcmplx_0(k2_bhsp_1(A,B,B),k2_bhsp_1(A,C,C)) ) ) ) ) )).
fof(t24_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(C,A) & k1_bhsp_2(A,C) = B ) => ( v2_comseq_2(k3_bhsp_2(A,C,B)) & k1_seq_2(k3_bhsp_2(A,C,B)) = k5_numbers ) ) ) ) ) )).
fof(t24_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & v3_bhsp_3(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_bhsp_4(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k3_bhsp_1(A,k4_bhsp_4(A,B,E,F))) ) ) ) ) ) ) ) ) )).
fof(t24_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => r2_funct_2(u1_struct_0(C),u1_struct_0(A),k7_bilinear(A,B,C,k9_bilinear(A,B,C,D,E),F),k6_hahnban1(A,C,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),E)) ) ) ) ) ) ) )).
fof(t24_binari_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k5_margrel1) ) => ( B = k5_euclid(A) => k7_binarith(A,k3_binarith(A,B),k1_binari_2(A)) = B ) ) ) )).
fof(t24_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,k5_series_1(2,B)) => k1_binari_4(B,A) = B ) ) ) )).
fof(t24_binom,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k1_funct_1(k7_binom(A,B,C,D),k1_nat_1(D,1)) = k2_binom(A,C,D) ) ) ) ) )).
fof(t24_bintree2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) & v1_bintree2(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v8_ordinal1(C) ) => ( r1_xxreal_0(C,k5_series_1(2,k1_nat_1(B,1))) => ! [D] : ( m2_finseq_2(D,k5_margrel1,k4_finseq_2(B,k5_margrel1)) => ( D = k1_funct_1(k2_bintree2(A,B),k3_nat_d(k1_nat_1(C,1),2)) => k1_funct_1(k2_bintree2(A,k1_nat_1(B,1)),C) = k7_finseq_1(D,k10_binarith(k4_ordinal1,k4_nat_d(k1_nat_1(C,1),2))) ) ) ) ) ) ) )).
fof(t24_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r3_lattices(A,B,k3_lattices(A,C,D)) => r3_lattices(A,k1_boolealg(A,B,C),D) ) ) ) ) ) )).
fof(t24_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( k3_borsuk_1(A,B,C,D) != k1_xboole_0 => ( k3_funct_2(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(A)),k8_borsuk_1(A,B),k3_borsuk_1(A,B,C,D)) = C & k3_funct_2(k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A,B))),k9_setfam_1(u1_struct_0(B)),k9_borsuk_1(A,B),k3_borsuk_1(A,B,C,D)) = D ) ) ) ) ) ) )).
fof(t24_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k5_topmetr)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_topmetr)) => ( r1_xxreal_0(A,B) => ( ~ v1_xboole_0(k1_rcomp_1(A,B)) & v2_connsp_1(k1_rcomp_1(A,B),k5_topmetr) & v2_compts_1(k1_rcomp_1(A,B),k5_topmetr) & m1_subset_1(k1_rcomp_1(A,B),k1_zfmisc_1(u1_struct_0(k5_topmetr))) ) ) ) ) )).
fof(t24_borsuk_5,axiom,( ! [A] : ( v1_rat_1(A) => ! [B] : ( ( v1_xreal_0(B) & ~ v1_rat_1(B) ) => ~ ( A != k5_numbers & v1_rat_1(k7_xcmplx_0(A,B)) ) ) ) )).
fof(t24_borsuk_6,axiom,( ~ v1_xboole_0(a_0_12_borsuk_6) & v4_pre_topc(a_0_12_borsuk_6,k2_borsuk_1(k5_topmetr,k5_topmetr)) & m1_subset_1(a_0_12_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) )).
fof(t24_bspace,axiom,( ! [A] : v13_algstr_0(k7_bspace(A)) )).
fof(t24_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,B,C,D),C,E)) ) ) ) ) ) )).
fof(t24_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_eqrel_1(G,A) => ( B = k3_enumset1(C,D,E,F,G) => ( C = F | D = F | E = F | F = G | k5_bvfunc_2(A,F,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,C,D),E),G) ) ) ) ) ) ) ) ) ) )).
fof(t24_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,D,B)),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t24_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v3_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k13_bvfunc_1(A,k9_bvfunc_1(A,C,B)),k9_bvfunc_1(A,C,k13_bvfunc_1(A,B))) & r2_funct_2(A,k5_margrel1,k13_bvfunc_1(A,k9_bvfunc_1(A,B,C)),k9_bvfunc_1(A,k14_bvfunc_1(A,B),C)) ) ) ) ) )).
fof(t24_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r1_bvfunc_1(A,k6_bvfunc_2(A,k5_bvfunc_1(A,C,D),B,E),k5_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),D)) ) ) ) ) ) ) )).
fof(t24_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k6_bvfunc_2(A,D,B,E)),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t24_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k6_bvfunc_2(A,k2_bvfunc_1(A,B,C),D,E),k2_bvfunc_1(A,B,k6_bvfunc_2(A,C,D,E))) ) ) ) ) ) )).
fof(t24_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,k9_bvfunc_1(A,C,B)),k12_bvfunc_1(A)) & r2_funct_2(A,k5_margrel1,C,k12_bvfunc_1(A)) ) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,D,B),k12_bvfunc_1(A)) ) ) ) ) ) )).
fof(t24_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,B,k1_bvfunc_1(A,C)),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,C,k1_bvfunc_1(A,B)),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t24_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k11_c0sp1(A)) & v13_algstr_0(k11_c0sp1(A)) & v2_rlvect_1(k11_c0sp1(A)) & v3_rlvect_1(k11_c0sp1(A)) & v4_rlvect_1(k11_c0sp1(A)) & v5_rlvect_1(k11_c0sp1(A)) & v6_rlvect_1(k11_c0sp1(A)) & v7_rlvect_1(k11_c0sp1(A)) & v8_rlvect_1(k11_c0sp1(A)) & l1_rlvect_1(k11_c0sp1(A)) ) ) )).
fof(t24_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => r1_tarski(k13_pre_poly(k26_valued_1(u1_struct_0(A),k1_numbers,C,B)),k13_pre_poly(C)) ) ) ) )).
fof(t24_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( ~ v1_xboole_0(E) => ! [F] : ( m1_valuat_1(F,A,E) => ! [G] : ( m2_funct_2(G,k3_qc_lang1(A),E,k2_valuat_1(A,E)) => ( r1_valuat_1(A,E,k4_substut2(A,B,C,D),F,G) <=> ? [H] : ( m1_subset_1(H,E) & k3_funct_2(k3_qc_lang1(A),E,G,D) = H & r1_valuat_1(A,E,B,F,k1_sublemma(A,E,G,k12_sublemma(A,E,C,H))) ) ) ) ) ) ) ) ) ) )).
fof(t24_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( ( r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),B))) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),B)),k12_finseq_1(k3_cqc_lang(A),C))) ) => r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),C))) ) ) ) ) ) )).
fof(t24_card_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( r1_tarski(A,B) & r1_tarski(B,C) & r2_wellord2(A,C) ) => ( r2_wellord2(A,B) & r2_wellord2(B,C) ) ) )).
fof(t24_card_2,axiom,( ! [A] : ( v1_card_1(A) => ! [B] : ( v1_card_1(B) => ! [C] : ( v1_card_1(C) => k2_card_2(A,k1_card_2(B,C)) = k1_card_2(k2_card_2(A,B),k2_card_2(A,C)) ) ) ) )).
fof(t24_card_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( r1_tarski(A,B) => r1_tarski(k3_card_3(A),k3_card_3(B)) ) ) ) )).
fof(t24_card_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v1_finset_1(A) => k1_card_1(A) = k1_card_1(k3_finseq_2(A)) ) ) )).
fof(t24_card_5,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) ) => r1_tarski(k4_ordinal1,k1_card_5(A)) ) )).
fof(t24_card_fil,axiom,( ! [A] : ( v1_card_1(A) => r1_ordinal1(k2_card_1(A),k3_card_2(2,A)) ) )).
fof(t24_card_fin,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( k5_relat_1(A,k8_relat_1(B,k1_tarski(C))) = k7_funcop_1(k8_relat_1(B,k1_tarski(C)),k3_tarski(k10_xtuple_0(A))) => k2_card_fin(A,B,C) = k3_tarski(k10_xtuple_0(A)) ) ) ) )).
fof(t24_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ( r2_tarski(k4_ordinal1,k1_card_5(A)) & v1_card_lar(B,A) ) => ! [C] : ( v3_ordinal1(C) => ~ ( r2_tarski(C,A) & ! [D] : ( ( v3_ordinal1(D) & v4_ordinal1(D) & ~ v1_finset_1(D) ) => ~ ( r2_tarski(D,A) & r2_tarski(C,D) & r2_tarski(D,k2_card_lar(A,B)) ) ) ) ) ) ) ) )).
fof(t24_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & k2_cat_1(A,B,D) = k1_xboole_0 ) ) ) ) ) )).
fof(t24_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => ( ( v1_cat_3(E,A,B,C) & v1_cat_3(F,A,C,D) ) => v1_cat_3(k5_cat_1(A,B,C,D,E,F),A,B,D) ) ) ) ) ) ) ) )).
fof(t24_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k9_cat_4(A,B,C,k2_cat_4(A,B,C),k7_cat_4(A,B,C),k8_cat_4(A,B,C)) = k4_cat_1(A,k2_cat_4(A,B,C)) ) ) ) )).
fof(t24_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( r2_tarski(C,k10_cat_5(A,B)) <=> k3_graph_1(A,C) = B ) ) ) ) )).
fof(t24_cat_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k1_cat_6(A)) => ( v11_cat_6(B,A) => r1_cat_6(A,B,B) ) ) ) )).
fof(t24_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_subset_1(D,k6_cat_6(A)) => ! [E] : ( m1_cat_7(E,A,B,C) => ! [F] : ( m1_cat_7(F,A,C,D) => ~ ( k1_cat_7(A,B,C) != k1_xboole_0 & k1_cat_7(A,C,D) != k1_xboole_0 & ~ ( ( v11_cat_6(E,A) => k4_cat_7(A,B,C,D,E,F) = F ) & ( v11_cat_6(F,A) => k4_cat_7(A,B,C,D,E,F) = E ) ) ) ) ) ) ) ) ) )).
fof(t24_catalan2,axiom,( ! [A] : ( v7_ordinal1(A) => k4_card_1(k2_catalan2(A,k5_numbers)) = 1 ) )).
fof(t24_catalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => r3_pua2mss1(k3_catalg_1(u1_struct_0(A)),k3_catalg_1(u1_struct_0(B)),k11_catalg_1(A,B,C),k12_catalg_1(A,B,C)) ) ) ) )).
fof(t24_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v4_algstr_0(B,A) & v4_algstr_0(C,A) ) => v4_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) ) ) ) ) )).
fof(t24_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_cc0sp1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k7_cc0sp1(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k7_cc0sp1(A))) => ( ( B = E & C = F & D = G ) => ( G = k6_algstr_0(k7_cc0sp1(A),E,F) <=> ! [H] : ( m1_subset_1(H,A) => k3_funct_2(A,k2_numbers,D,H) = k3_xcmplx_0(k3_funct_2(A,k2_numbers,B,H),k3_funct_2(A,k2_numbers,C,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k2_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k2_numbers))) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_cc0sp2(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_cc0sp2(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_cc0sp2(A))) => ( ( B = E & C = F & D = G ) => ( G = k8_group_1(k5_cc0sp2(A),E,F) <=> ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),k2_numbers,D,H) = k3_xcmplx_0(k3_funct_2(u1_struct_0(A),k2_numbers,B,H),k3_funct_2(u1_struct_0(A),k2_numbers,C,H)) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ~ ( v2_comseq_2(A) & k3_comseq_2(A) != k5_numbers & ! [B] : ( v7_ordinal1(B) => ~ v9_ordinal1(k1_valued_0(k2_numbers,A,B)) ) ) ) )).
fof(t24_cfdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [C] : ( v1_xcmplx_0(C) => ( ( r1_cfdiff_1(A,C) & r1_cfdiff_1(B,C) ) => ( r1_cfdiff_1(k46_valued_1(k2_numbers,k2_numbers,k2_numbers,A,B),C) & k2_cfdiff_1(k46_valued_1(k2_numbers,k2_numbers,k2_numbers,A,B),C) = k6_xcmplx_0(k2_cfdiff_1(A,C),k2_cfdiff_1(B,C)) ) ) ) ) ) )).
fof(t24_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_cfuncdom(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_cfuncdom(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cfuncdom(A))) => ( k1_algstr_0(k7_cfuncdom(A),B,C) = k1_algstr_0(k7_cfuncdom(A),C,B) & k1_algstr_0(k7_cfuncdom(A),k1_algstr_0(k7_cfuncdom(A),B,C),D) = k1_algstr_0(k7_cfuncdom(A),B,k1_algstr_0(k7_cfuncdom(A),C,D)) & k1_algstr_0(k7_cfuncdom(A),B,k4_struct_0(k7_cfuncdom(A))) = B & v10_algstr_0(B,k7_cfuncdom(A)) & k6_algstr_0(k7_cfuncdom(A),B,C) = k6_algstr_0(k7_cfuncdom(A),C,B) & k6_algstr_0(k7_cfuncdom(A),k6_algstr_0(k7_cfuncdom(A),B,C),D) = k6_algstr_0(k7_cfuncdom(A),B,k6_algstr_0(k7_cfuncdom(A),C,D)) & k6_algstr_0(k7_cfuncdom(A),B,k5_struct_0(k7_cfuncdom(A))) = B & k6_algstr_0(k7_cfuncdom(A),k5_struct_0(k7_cfuncdom(A)),B) = B & k6_algstr_0(k7_cfuncdom(A),B,k1_algstr_0(k7_cfuncdom(A),C,D)) = k1_algstr_0(k7_cfuncdom(A),k6_algstr_0(k7_cfuncdom(A),B,C),k6_algstr_0(k7_cfuncdom(A),B,D)) & k6_algstr_0(k7_cfuncdom(A),k1_algstr_0(k7_cfuncdom(A),C,D),B) = k1_algstr_0(k7_cfuncdom(A),k6_algstr_0(k7_cfuncdom(A),C,B),k6_algstr_0(k7_cfuncdom(A),D,B)) ) ) ) ) ) )).
fof(t24_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k46_valued_1(A,k2_numbers,k2_numbers,B,C),k25_valued_1(A,k2_numbers,k46_valued_1(A,k2_numbers,k2_numbers,C,B),k4_xcmplx_0(k6_complex1))) ) ) ) )).
fof(t24_cgames_1,axiom,( ! [A] : ( v2_cgames_1(A) => r2_tarski(A,k10_cgames_1(A)) ) )).
fof(t24_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) => ( r2_tarski(D,k3_chain_1(A,B,C)) <=> ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => ( r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(D,E)) & r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(C,E)) ) ) ) ) ) ) ) ) )).
fof(t24_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v1_funct_1(B) & v1_finset_1(B) & v1_glib_000(B) ) => ( r5_glib_000(A,B) => ! [C] : ( m3_glib_001(C,A) => ! [D] : ( m3_glib_001(D,B) => ( ( C = D & v8_glib_001(C,A) ) => v8_glib_001(D,B) ) ) ) ) ) ) )).
fof(t24_circcmb2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_msafree2(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_msafree2(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_msafree2(C) & l1_msualg_1(C) ) => ( ( r1_xboole_0(k2_msafree2(A),k3_msafree2(B)) & r1_xboole_0(k2_msafree2(B),k3_msafree2(A)) & C = k2_circcomb(A,B) ) => ! [D] : ( ( v4_msualg_1(D,A) & v4_msafree2(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msualg_1(E,B) & v4_msafree2(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msualg_1(F,C) & v4_msafree2(F,C) & l3_msualg_1(F,C) ) => ( ( r2_circcomb(A,B,D,E) & F = k3_circcomb(A,B,D,E) ) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(A,D))) => v1_circuit2(k5_facirc_1(A,D,I,G),A,D) ) & ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(B,E))) => v1_circuit2(k5_facirc_1(B,E,I,H),B,E) ) ) => ! [I] : ( m1_subset_1(I,k4_card_3(u3_msualg_1(C,F))) => v1_circuit2(k5_facirc_1(C,F,I,k4_xxreal_0(G,H)),C,F) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_circcmb3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => m1_subset_1(C,u1_struct_0(k2_circcomb(A,B))) ) ) ) )).
fof(t24_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & v4_msafree2(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msualg_1(D,B) & v4_msafree2(D,B) & l3_msualg_1(D,B) ) => ( r1_partfun1(u3_msualg_1(A,C),u3_msualg_1(B,D)) => v4_msafree2(k3_circcomb(A,B,C,D),k2_circcomb(A,B)) ) ) ) ) ) )).
fof(t24_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_rlvect_2(C,A,k6_domain_1(u1_struct_0(A),B)) => ( v1_circled1(C,A) => ( k3_funct_2(u1_struct_0(A),k1_numbers,C,B) = 1 & k6_rlvect_2(A,C) = k1_rlvect_1(A,B,k3_funct_2(u1_struct_0(A),k1_numbers,C,B)) ) ) ) ) ) )).
fof(t24_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r1_circtrm1(A,B,C,D) => ( k10_xtuple_0(C) = u1_struct_0(B) & k10_xtuple_0(D) = u4_struct_0(B) ) ) ) ) ) ) )).
fof(t24_ckspace1,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_pdiff_7(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_euclid(A))) ) => k1_group_1(k2_ckspace1(A,B,C)) = k8_funcop_1(k4_ordinal1,C,1) ) ) ) )).
fof(t24_classes1,axiom,( ! [A] : ! [B] : ( r2_tarski(B,k1_classes1(A)) => r2_tarski(k1_card_1(B),k1_card_1(k1_classes1(A))) ) )).
fof(t24_classes2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ( ( v4_ordinal1(k9_xtuple_0(A)) & ! [B] : ( v3_ordinal1(B) => ( r2_tarski(B,k9_xtuple_0(A)) => k1_funct_1(A,B) = k4_classes1(B) ) ) ) => k4_classes1(k9_xtuple_0(A)) = k3_card_3(A) ) ) )).
fof(t24_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_clopban1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_clopban1(A,B))) => ! [E] : ( v1_xcmplx_0(E) => ( D = k1_clvect_1(k9_clopban1(A,B),C,E) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k10_clopban1(A,B,D,F) = k1_clvect_1(B,k10_clopban1(A,B,C,F),E) ) ) ) ) ) ) ) )).
fof(t24_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v3_clopban1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clopban3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),E),k1_normsp_0(A,k1_bhsp_4(A,B),D)))) ) ) ) ) ) ) ) )).
fof(t24_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,k3_rlvect_1(A,C,D))),B) = k1_normsp_0(A,k1_bhsp_4(A,k4_clopban4(B,A,C,D)),B) ) ) ) ) ) )).
fof(t24_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( m2_pboole(E,B,k5_mssubfam(B,C),k5_mssubfam(B,C)) => ( ( v1_closure1(E,B,C) & r2_tarski(A,B) & D = k1_funct_1(E,A) ) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_funct_1(C,A)),k9_setfam_1(k1_funct_1(C,A))) => r1_tarski(F,k1_funct_1(D,F)) ) ) ) ) ) )).
fof(t24_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) => ! [D] : ( m3_pboole(D,A,B) => ( ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,A) & v1_funct_1(E) & v1_partfun1(E,A) ) => ( r2_tarski(E,C) => r2_pboole(A,D,E) ) ) => r2_pboole(A,D,k4_mssubfam(A,B,k5_closure2(A,B,C))) ) ) ) ) )).
fof(t24_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( u1_struct_0(A) = B => v6_clvect_1(B,A) ) ) ) )).
fof(t24_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(C,A) & k1_clvect_2(A,C) = B ) => ( v2_comseq_2(k3_clvect_2(A,C,B)) & k1_seq_2(k3_clvect_2(A,C,B)) = k5_numbers ) ) ) ) ) )).
fof(t24_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & v4_clvect_2(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_clvect_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & ? [F] : ( v7_ordinal1(F) & r1_xxreal_0(D,E) & r1_xxreal_0(D,F) & r1_xxreal_0(C,k11_csspace(A,k3_clvect_3(A,B,E,F))) ) ) ) ) ) ) ) ) )).
fof(t24_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k3_coh_sp(A)) => ( k2_xfamily(k8_coh_sp(A,B)) = k6_partfun1(k3_tarski(B)) & k6_coh_sp(A,k8_coh_sp(A,B)) = B & k7_coh_sp(A,k8_coh_sp(A,B)) = B ) ) )).
fof(t24_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),k5_cohsp_1(A)) <=> ( v1_finset_1(B) & r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(C,k1_funct_1(A,B)) ) ) ) )).
fof(t24_combgras,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( ( A = 1 & r1_ordinal1(k1_nat_1(A,1),k1_card_1(B)) ) => ! [C] : ( l1_combgras(C,k1_combgras(A,B),k1_combgras(A,B)) => ~ ( v7_combgras(C,k1_combgras(A,B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => g1_combgras(k1_combgras(A,B),k1_combgras(A,B),u1_combgras(k1_combgras(A,B),k1_combgras(A,B),C),u2_combgras(k1_combgras(A,B),k1_combgras(A,B),C)) != k8_combgras(A,B,D) ) ) ) ) ) ) )).
fof(t24_complex1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ( k3_complex1(k7_xcmplx_0(A,B)) = k7_xcmplx_0(k3_real_1(k4_real_1(k3_complex1(A),k3_complex1(B)),k4_real_1(k4_complex1(A),k4_complex1(B))),k2_xcmplx_0(k1_square_1(k3_complex1(B)),k1_square_1(k4_complex1(B)))) & k4_complex1(k7_xcmplx_0(A,B)) = k7_xcmplx_0(k5_real_1(k4_real_1(k3_complex1(B),k4_complex1(A)),k4_real_1(k3_complex1(A),k4_complex1(B))),k2_xcmplx_0(k1_square_1(k3_complex1(B)),k1_square_1(k4_complex1(B)))) ) ) ) )).
fof(t24_complex2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ( r1_xxreal_0(k1_comptrig(A),k28_sin_cos) => r1_xxreal_0(k5_numbers,k4_complex1(A)) ) ) )).
fof(t24_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( A != k4_struct_0(k1_complfld) => k12_algstr_0(k1_complfld,A,A) = k5_struct_0(k1_complfld) ) ) )).
fof(t24_complsp2,axiom,( ! [A] : ( v1_xcmplx_0(A) => k2_xcmplx_0(A,k8_complex1(A)) = k3_xcmplx_0(2,k3_complex1(A)) ) )).
fof(t24_compos_1,axiom,( ! [A] : ( l1_compos_1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k6_xcmplx_0(k4_card_1(B),1),D) => k1_funct_1(k5_compos_1(A,B,k7_nat_d(k4_card_1(B),1)),D) = k1_funct_1(k5_compos_1(A,k7_compos_1(A,B,C),k7_nat_d(k4_card_1(B),1)),D) ) ) ) ) ) )).
fof(t24_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => ! [C] : ( r1_tarski(B,C) => r1_compos_2(B,C) ) ) ) )).
fof(t24_comptrig,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k16_sin_cos,k1_rcomp_1(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k7_xcmplx_0(3,2),k28_sin_cos)))) )).
fof(t24_compts_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ! [D] : ( m1_pre_topc(D,A) => ! [E] : ( m1_pre_topc(E,A) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D),u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(B)))) ) => ( ( k2_xboole_0(k2_struct_0(D),k2_struct_0(E)) = k2_struct_0(A) & k9_subset_1(u1_struct_0(E),k2_struct_0(D),k2_struct_0(E)) = C & v1_compts_1(D) & v1_compts_1(E) & v8_pre_topc(A) & v5_pre_topc(F,D,B) & v5_pre_topc(G,E,B) & r1_partfun1(k2_partfun1(u1_struct_0(D),u1_struct_0(B),F,C),k2_partfun1(u1_struct_0(E),u1_struct_0(B),G,C)) ) => ( v1_funct_1(k1_funct_4(F,G)) & v1_funct_2(k1_funct_4(F,G),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_funct_4(F,G),A,B) & m1_subset_1(k1_funct_4(F,G),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) ) ) ) ) ) ) ) )).
fof(t24_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_funct_1(B) & v2_margrel1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_tarski(k1_relset_1(k3_finseq_2(A),B),k4_finseq_2(C,A)) => k18_margrel1(B) = C ) ) ) ) )).
fof(t24_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C)),k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B),C)) ) ) ) )).
fof(t24_comseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & v2_comseq_2(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => k3_comseq_2(k2_comseq_2(k4_ordinal1,k31_valued_1(k4_ordinal1,k2_numbers,A))) = k4_xcmplx_0(k8_complex1(k3_comseq_2(A))) ) )).
fof(t24_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,A,B) = k5_complex1 ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,k10_comseq_3(A),B) = k5_complex1 ) ) ) )).
fof(t24_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => ( ( u2_conlat_1(A,B) = k1_xboole_0 => v8_conlat_1(B,A) ) & ( u3_conlat_1(A,B) = k1_xboole_0 => v7_conlat_1(B,A) ) ) ) ) )).
fof(t24_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) & v4_pre_topc(C,A) & v2_connsp_1(k4_subset_1(u1_struct_0(A),B,C),A) & v2_connsp_1(k9_subset_1(u1_struct_0(A),B,C),A) ) => ( v2_connsp_1(B,A) & v2_connsp_1(C,A) ) ) ) ) ) )).
fof(t24_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(C,A) & v4_pre_topc(C,A) & r2_tarski(B,C) & r1_tarski(C,k1_connsp_2(A,B)) ) => C = k1_connsp_2(A,B) ) ) ) ) )).
fof(t24_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => m1_connsp_3(C,A) ) ) => m1_connsp_3(k6_setfam_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t24_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m2_rlvect_2(C,A,k6_domain_1(u1_struct_0(A),B)) => ( v2_convex1(C,A) => ( k1_funct_1(C,B) = 1 & k6_rlvect_2(A,C) = k1_rlvect_1(A,B,k1_funct_1(C,B)) ) ) ) ) ) )).
fof(t24_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_convex4(C,A) => ( B != k5_complex1 => k1_convex4(A,k7_convex4(A,B,C)) = k1_convex4(A,C) ) ) ) ) )).
fof(t24_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => k13_cqc_lang(A,k15_qc_lang1(A,B,C),B) = k15_qc_lang1(A,B,C) ) ) ) )).
fof(t24_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ( r1_qc_lang1(A,k13_cqc_sim1(A,B),k13_cqc_sim1(A,k7_cqc_lang(A,B,C))) & r1_qc_lang1(A,k13_cqc_sim1(A,C),k13_cqc_sim1(A,k7_cqc_lang(A,B,C))) ) ) ) ) )).
fof(t24_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) => ~ ( r2_cqc_the1(A,B,C) & k10_xtuple_0(C) = k1_xboole_0 ) ) ) ) )).
fof(t24_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ~ r2_tarski(C,k24_qc_lang1(A,B)) => v2_cqc_the1(k8_cqc_lang(A,B,k11_cqc_lang(A,C,B)),A) ) ) ) ) )).
fof(t24_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => r4_cqc_the3(A,k4_subset_1(k3_cqc_lang(A),B,C),k4_subset_1(k3_cqc_lang(A),k1_cqc_the1(A,B),k1_cqc_the1(A,C))) ) ) ) )).
fof(t24_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_csspace(A,B,k4_algstr_0(A,C)) = k4_xcmplx_0(k10_csspace(A,B,C)) ) ) ) )).
fof(t24_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ( ~ v2_struct_0(k9_csspace4(A,B)) & v13_algstr_0(k9_csspace4(A,B)) & v2_rlvect_1(k9_csspace4(A,B)) & v3_rlvect_1(k9_csspace4(A,B)) & v4_rlvect_1(k9_csspace4(A,B)) & v3_normsp_0(k9_csspace4(A,B)) & v4_normsp_0(k9_csspace4(A,B)) & v2_clvect_1(k9_csspace4(A,B)) & v3_clvect_1(k9_csspace4(A,B)) & v4_clvect_1(k9_csspace4(A,B)) & v5_clvect_1(k9_csspace4(A,B)) & v8_clvect_1(k9_csspace4(A,B)) & l2_clvect_1(k9_csspace4(A,B)) ) ) ) )).
fof(t24_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v2_dblseq_1(k4_dblseq_2(A)) => ! [B] : ( v7_ordinal1(B) => k3_funct_2(k4_ordinal1,k1_numbers,k2_dblseq_1(k4_dblseq_2(A)),k1_nat_1(B,1)) = k2_xcmplx_0(k8_nat_1(k1_numbers,k2_dblseq_1(k4_dblseq_2(A)),B),k3_funct_2(k4_ordinal1,k1_numbers,k2_dblseq_1(k3_dblseq_2(A)),k1_nat_1(B,1))) ) ) ) )).
fof(t24_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v9_decomp_1(C,A,B) <=> ( v8_decomp_1(C,A,B) & v19_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t24_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ! [K] : ( m1_subset_1(K,A) => ! [L] : ( m1_subset_1(L,A) => ! [M] : ( m1_subset_1(M,A) => ! [N] : ( m1_subset_1(N,A) => ! [O] : ( m1_subset_1(O,A) => ! [P] : ( m1_subset_1(P,A) => ! [Q] : ( m1_subset_1(Q,A) => ! [R] : ( m1_subset_1(R,A) => ! [S] : ( m1_subset_1(S,A) => ! [T] : ( m1_subset_1(T,A) => ! [U] : ( m1_subset_1(U,A) => ! [V] : ( m1_subset_1(V,A) => ! [W] : ( m1_subset_1(W,A) => ! [X] : ( m1_subset_1(X,A) => ! [Y] : ( m1_subset_1(Y,A) => ! [Z] : ( m1_subset_1(Z,A) => ! [A1] : ( m1_subset_1(A1,A) => ! [B1] : ( m1_subset_1(B1,A) => ! [C1] : ( m1_subset_1(C1,A) => ! [D1] : ( m1_subset_1(D1,A) => ! [E1] : ( m1_subset_1(E1,A) => ! [F1] : ( m1_subset_1(F1,A) => ! [G1] : ( m1_subset_1(G1,A) => ! [H1] : ( m1_subset_1(H1,A) => ! [I1] : ( m1_subset_1(I1,A) => ! [J1] : ( m1_subset_1(J1,A) => ! [K1] : ( m1_subset_1(K1,A) => ! [L1] : ( m1_subset_1(L1,A) => ! [M1] : ( m1_subset_1(M1,A) => ! [N1] : ( m1_subset_1(N1,A) => ! [O1] : ( m1_subset_1(O1,A) => ! [P1] : ( m1_subset_1(P1,A) => ! [Q1] : ( m1_subset_1(Q1,A) => ! [R1] : ( m1_subset_1(R1,A) => ! [S1] : ( m1_subset_1(S1,A) => ! [T1] : ( m1_subset_1(T1,A) => ! [U1] : ( m1_subset_1(U1,A) => ! [V1] : ( m1_subset_1(V1,A) => ! [W1] : ( m1_subset_1(W1,A) => ! [X1] : ( m1_subset_1(X1,A) => ! [Y1] : ( m1_subset_1(Y1,A) => ! [Z1] : ( m1_subset_1(Z1,A) => ! [A2] : ( m1_subset_1(A2,A) => ! [B2] : ( m1_subset_1(B2,A) => ! [C2] : ( m1_subset_1(C2,A) => ! [D2] : ( m1_subset_1(D2,A) => ! [E2] : ( m1_subset_1(E2,A) => ? [F2] : ( m2_finseq_1(F2,A) & v3_card_1(F2,56) & k1_funct_1(F2,1) = B & k1_funct_1(F2,2) = C & k1_funct_1(F2,3) = D & k1_funct_1(F2,4) = E & k1_funct_1(F2,5) = F & k1_funct_1(F2,6) = G & k1_funct_1(F2,7) = H & k1_funct_1(F2,8) = I & k1_funct_1(F2,9) = J & k1_funct_1(F2,10) = K & k1_funct_1(F2,11) = L & k1_funct_1(F2,12) = M & k1_funct_1(F2,13) = N & k1_funct_1(F2,14) = O & k1_funct_1(F2,15) = P & k1_funct_1(F2,16) = Q & k1_funct_1(F2,17) = R & k1_funct_1(F2,18) = S & k1_funct_1(F2,19) = T & k1_funct_1(F2,20) = U & k1_funct_1(F2,21) = V & k1_funct_1(F2,22) = W & k1_funct_1(F2,23) = X & k1_funct_1(F2,24) = Y & k1_funct_1(F2,25) = Z & k1_funct_1(F2,26) = A1 & k1_funct_1(F2,27) = B1 & k1_funct_1(F2,28) = C1 & k1_funct_1(F2,29) = D1 & k1_funct_1(F2,30) = E1 & k1_funct_1(F2,31) = F1 & k1_funct_1(F2,32) = G1 & k1_funct_1(F2,33) = H1 & k1_funct_1(F2,34) = I1 & k1_funct_1(F2,35) = J1 & k1_funct_1(F2,36) = K1 & k1_funct_1(F2,37) = L1 & k1_funct_1(F2,38) = M1 & k1_funct_1(F2,39) = N1 & k1_funct_1(F2,40) = O1 & k1_funct_1(F2,41) = P1 & k1_funct_1(F2,42) = Q1 & k1_funct_1(F2,43) = R1 & k1_funct_1(F2,44) = S1 & k1_funct_1(F2,45) = T1 & k1_funct_1(F2,46) = U1 & k1_funct_1(F2,47) = V1 & k1_funct_1(F2,48) = W1 & k1_funct_1(F2,49) = X1 & k1_funct_1(F2,50) = Y1 & k1_funct_1(F2,51) = Z1 & k1_funct_1(F2,52) = A2 & k1_funct_1(F2,53) = B2 & k1_funct_1(F2,54) = C2 & k1_funct_1(F2,55) = D2 & k1_funct_1(F2,56) = E2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_dickson,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ( r2_wellord1(u1_orders_2(A),u1_struct_0(A)) <=> ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => k1_card_1(k6_dickson(A,B)) = 1 ) ) ) )).
fof(t24_diff_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_numbers,k1_numbers) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_numbers,k1_numbers) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,F,C),k26_valued_1(k1_numbers,k1_numbers,G,D)),B),k1_nat_1(A,1)),E) = k2_xcmplx_0(k3_xcmplx_0(C,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(F,B),k1_nat_1(A,1)),E)),k3_xcmplx_0(D,k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(G,B),k1_nat_1(A,1)),E))) ) ) ) ) ) ) ) )).
fof(t24_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_funct_1(k3_diff_1(k1_fcont_1(B,C),A),D) = k3_xcmplx_0(B,A) ) ) ) ) )).
fof(t24_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( A != k5_numbers => k10_diff_1(C,k6_xcmplx_0(B,A),B,k2_xcmplx_0(B,A)) = k7_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),2),B),k3_xcmplx_0(k3_xcmplx_0(2,A),A)) ) ) ) ) )).
fof(t24_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_hidden(B,k1_relset_1(k1_numbers,k26_sin_cos)) & r2_tarski(k6_xcmplx_0(B,A),k1_relset_1(k1_numbers,k26_sin_cos)) ) => k1_funct_1(k4_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k26_sin_cos),k18_sin_cos),A),B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),B),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),k6_xcmplx_0(B,A))) ) ) ) )).
fof(t24_dilworth,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r5_waybel_4(A,k3_dilworth(A,C),B) => r5_waybel_4(A,k2_struct_0(A),B) ) ) ) ) )).
fof(t24_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r2_diraf(A,B,C,B,D) ) ) ) ) )).
fof(t24_dist_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => k10_dist_1(A) = k8_dist_1(A,k11_dist_1(A)) ) )).
fof(t24_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k4_dist_2(A,B,C,k5_bvfunc_1(A,D,E)) = k7_xcmplx_0(k4_card_1(k2_xboole_0(k3_dist_2(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,C,D)),k3_dist_2(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,C,E)))),k3_finseq_1(C)) ) ) ) ) ) )).
fof(t24_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(B)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(C)) => k9_mcart_1(A,B,C,D,E,F) = a_6_0_domain_1(A,B,C,D,E,F) ) ) ) ) ) ) )).
fof(t24_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v2_hahnban(B,A) & v3_hahnban(B,A) & v1_dualsp01(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k1_funct_1(k16_dualsp01(A),B) = k2_seq_4(k15_dualsp01(A,B)) ) ) )).
fof(t24_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( v1_dualsp02(A) & v1_rlsub_1(B,A) & v2_nfcont_1(B,A) ) => v1_dualsp02(k4_normsp_3(A,B)) ) ) ) )).
fof(t24_dynkin,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( v2_finsub_1(B) => ! [C] : ( m1_dynkin(C,A) => ( r1_tarski(B,C) => r1_tarski(k9_prob_1(A,B),C) ) ) ) ) ) )).
fof(t24_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k3_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 & k3_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))),k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))) = k1_xboole_0 ) ) )).
fof(t24_ec_pf_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v7_ordinal1(C) => k2_binom(A,B,k1_nat_1(C,1)) = k6_algstr_0(A,k2_binom(A,B,C),B) ) ) ) )).
fof(t24_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ( B = k5_int_1(2,A) => k5_algstr_0(k9_int_3(A),k8_group_1(k9_int_3(A),B,C),C) = C ) ) ) ) )).
fof(t24_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k2_ens_1(A)) => m1_subset_1(B,u4_struct_0(k11_ens_1(A))) ) ) )).
fof(t24_entropy1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v1_entropy1(B,A) <=> ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => r1_entropy1(k7_matrix_0(k1_numbers,B,C),C) ) ) ) ) ) )).
fof(t24_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_enumset1(A,B,C),k3_enumset1(D,E,F,G,H)) )).
fof(t24_eqrel_1,axiom,( ! [A] : ! [B] : ( ( v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ! [D] : ~ ( r2_hidden(D,A) & k6_eqrel_1(A,A,B,C) != k6_eqrel_1(A,A,B,D) & ~ r1_xboole_0(k6_eqrel_1(A,A,B,C),k6_eqrel_1(A,A,B,D)) ) ) )).
fof(t24_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v3_msualg_1(D,A) & v4_msualg_1(D,A) & v2_msafree(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r2_msualg_3(A,B,C,E) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,C)) => ~ ( r1_msualg_3(A,D,C,F) & ! [G] : ( m2_pboole(G,u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,B)) => ~ ( r1_msualg_3(A,D,B,G) & r8_pboole(u1_struct_0(A),F,k3_msualg_3(u1_struct_0(A),u3_msualg_1(A,D),u3_msualg_1(A,B),u3_msualg_1(A,C),G,E)) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => m2_finseq_1(B,k1_numbers) ) ) )).
fof(t24_euclid10,axiom,( ! [A] : ( v1_xreal_0(A) => k1_square_1(k17_sin_cos(k4_xcmplx_0(A))) = k1_square_1(k17_sin_cos(A)) ) )).
fof(t24_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k5_algstr_0(k15_euclid(A),B,C),D) = k6_xcmplx_0(k22_rvsum_1(B,D),k22_rvsum_1(C,D)) ) ) ) ) )).
fof(t24_euclid_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k12_euclid(k1_euclid_3(A)) = k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(A)),k1_square_1(k4_complex1(A)))) ) )).
fof(t24_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k22_rvsum_1(B,k6_euclid(A,C)) = k4_xcmplx_0(k22_rvsum_1(B,C)) ) ) ) )).
fof(t24_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(3))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(3))) => k5_euclid_5(k3_rlvect_1(k15_euclid(3),A,B),C) = k3_rlvect_1(k15_euclid(3),k5_euclid_5(A,C),k5_euclid_5(B,C)) ) ) ) )).
fof(t24_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_zfmisc_1(A,B,C) => ( r1_xxreal_0(k4_euclid_3(A,B,C),k28_sin_cos) | ( ~ r1_xxreal_0(k4_euclid_3(B,C,A),k28_sin_cos) & ~ r1_xxreal_0(k4_euclid_3(C,A,B),k28_sin_cos) ) ) ) ) ) ) )).
fof(t24_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( m2_finseq_1(D,k1_euclid(A)) => ( ( v2_funct_1(C) & r1_tarski(k2_relset_1(k4_ordinal1,C),k4_finseq_1(B)) & r2_relset_1(k4_ordinal1,k1_euclid(A),D,k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,k1_euclid(A),C,B)) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r2_tarski(E,k4_finseq_1(B)) => ( r2_tarski(E,k2_relset_1(k4_ordinal1,C)) | k1_funct_1(B,E) = k5_euclid(A) ) ) ) ) => k5_euclid_7(A,B) = k5_euclid_7(A,D) ) ) ) ) ) )).
fof(t24_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(k14_euclid(A))))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k14_euclid(A))) => ~ ( r2_tarski(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k4_euclid_9(A,C,D),B) ) ) ) ) => v3_pre_topc(B,k3_pcomps_1(k14_euclid(A))) ) ) ) )).
fof(t24_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(G)) => ! [I] : ( m2_finseq_2(I,k1_numbers,k1_euclid(G)) => ! [J] : ( m2_finseq_2(J,k1_numbers,k1_euclid(G)) => k7_euclid(G,k7_euclid(G,k7_euclid(G,k9_euclid(G,H,A),k9_euclid(G,I,B)),k9_euclid(G,J,C)),k7_euclid(G,k7_euclid(G,k9_euclid(G,H,D),k9_euclid(G,I,E)),k9_euclid(G,J,F))) = k7_euclid(G,k7_euclid(G,k9_euclid(G,H,k2_xcmplx_0(A,D)),k9_euclid(G,I,k2_xcmplx_0(B,E))),k9_euclid(G,J,k2_xcmplx_0(C,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) ) => ( k1_exchsort(A) = k5_numbers & k2_exchsort(A) = k9_xtuple_0(A) & k3_exchsort(A) = k9_xtuple_0(A) ) ) )).
fof(t24_extpro_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v1_setfam_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v3_extpro_1(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(A,B)) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( v7_ordinal1(E) => ( k3_extpro_1(A,B,C,k5_extpro_1(A,B,C,D,E)) = k2_compos_1(B) => k5_extpro_1(A,B,C,D,k8_extpro_1(A,B,C,D)) = k5_extpro_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t24_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_xxreal_0(k3_extreal1(k1_xxreal_3(A,B)),k3_supinf_2(k3_extreal1(A),k3_extreal1(B))) ) ) )).
fof(t24_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v3_circcomb(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & v3_circcomb(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msafree2(C,A) & v4_circcomb(C,A) & v6_circcomb(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( ( v4_msafree2(D,B) & v4_circcomb(D,B) & v6_circcomb(D,B) & l3_msualg_1(D,B) ) => k3_circcomb(A,B,C,D) = k3_circcomb(B,A,D,C) ) ) ) ) )).
fof(t24_facirc_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( k1_xfamily(k5_facirc_2(C,A,B)) = k1_xboole_0 & k2_xfamily(k5_facirc_2(C,A,B)) = k8_funcop_1(k5_margrel1,k4_finseq_2(k5_numbers,k5_margrel1),k6_margrel1) & k9_xtuple_0(k2_xfamily(k5_facirc_2(C,A,B))) = k4_finseq_2(k5_numbers,k5_margrel1) ) | ( k1_card_1(k1_xfamily(k5_facirc_2(C,A,B))) = 3 & k2_xfamily(k5_facirc_2(C,A,B)) = k4_facirc_1 & k9_xtuple_0(k2_xfamily(k5_facirc_2(C,A,B))) = k4_finseq_2(3,k5_margrel1) ) ) ) ) ) )).
fof(t24_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_subset_1(k1_numbers,k1_relset_1(k1_numbers,B),k1_relset_1(k1_numbers,C))) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) & k8_relset_1(k1_numbers,k1_numbers,B,k1_seq_4(k5_numbers)) = k1_xboole_0 & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,A)) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,C,B),A)) ) ) ) )).
fof(t24_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(k10_prob_1(A),k1_relset_1(k1_numbers,B)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A))) ) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A))) ) | v3_rcomp_1(k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k10_prob_1(A)))) ) ) ) ) )).
fof(t24_fdiff_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( v1_xreal_0(B) => ( r1_fdiff_1(A,B) => r1_fcont_1(A,B) ) ) ) )).
fof(t24_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k18_sin_cos))) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k18_sin_cos),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k18_sin_cos),A),B) = k7_xcmplx_0(k17_sin_cos(k1_funct_1(k27_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t24_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k2_fdiff_9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k2_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_sin_cos9,k2_fdiff_9),A),B) = k7_xcmplx_0(k1_funct_1(k18_sin_cos,k1_funct_1(k2_sin_cos9,B)),k3_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos,k1_funct_1(k2_sin_cos9,B))),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t24_fdiff_2,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,B)) & ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,A) & r2_hidden(D,A) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(B,C),k1_funct_1(B,D))),k1_square_1(k6_xcmplx_0(C,D))) ) ) ) ) => ( r2_fdiff_1(B,A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_fdiff_1(B,C) = k5_numbers ) ) ) ) ) ) )).
fof(t24_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,D,E),k3_taylor_1))) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => ( k1_funct_1(D,F) = k6_xcmplx_0(F,A) & ~ r1_xxreal_0(k1_funct_1(D,F),k5_numbers) & k1_funct_1(E,F) = k6_xcmplx_0(F,B) & ~ r1_xxreal_0(k1_funct_1(E,F),k5_numbers) ) ) ) ) => ( r2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,D,E),k3_taylor_1),C) & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,C) => k1_funct_1(k2_fdiff_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,D,E),k3_taylor_1),C),F) = k7_xcmplx_0(k6_xcmplx_0(A,B),k3_xcmplx_0(k6_xcmplx_0(F,A),k6_xcmplx_0(F,B))) ) ) ) ) ) ) ) ) ) )).
fof(t24_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1),k7_xcmplx_0(1,2)))) & B = k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_taylor_1(2)),C) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(C,D) = 1 ) ) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1),k7_xcmplx_0(1,2)),A) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,A) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k3_taylor_1),k7_xcmplx_0(1,2)),A),D) = k7_xcmplx_0(k23_sin_cos(D),k2_xcmplx_0(k23_sin_cos(D),k23_sin_cos(k4_xcmplx_0(D)))) ) ) ) ) ) ) ) )).
fof(t24_fdiff_7,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_sin_cos6),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2)))))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) & B = k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D) & D = k1_taylor_1(2) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => ( k1_funct_1(C,E) = 1 & ~ r1_xxreal_0(k1_funct_1(B,E),k5_numbers) & E != k5_numbers ) ) ) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_sin_cos6),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2)))),A) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,A),k3_sin_cos6),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,k4_taylor_1(k7_xcmplx_0(1,2)))),A),E) = k1_funct_1(k3_sin_cos6,E) ) ) ) ) ) ) ) ) )).
fof(t24_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k1_partfun2(k1_numbers,A)))) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k1_partfun2(k1_numbers,A)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k1_partfun2(k1_numbers,A)),A),B) = k7_xcmplx_0(k1_square_1(k1_funct_1(k16_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B))) ) ) ) ) ) )).
fof(t24_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_fdiff_9),A),B) = k2_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k18_sin_cos,B)),k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k16_sin_cos,B)),k1_square_1(k1_funct_1(k18_sin_cos,B)))) ) ) ) ) ) )).
fof(t24_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_tarski(k16_ff_siec(A),k2_zfmisc_1(k2_net_1(A),k2_net_1(A))) & r1_tarski(k15_ff_siec(A),k2_zfmisc_1(k2_net_1(A),k2_net_1(A))) ) ) )).
fof(t24_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A,2)) = k1_nat_1(k1_pre_ff(A),k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(t24_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_nat_1(k1_fib_num3(A),k1_pre_ff(A)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(t24_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k1_pre_ff(k2_xcmplx_0(A,1)) = k1_int_1(k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_pre_ff(A),k3_xcmplx_0(k3_square_1(5),k1_pre_ff(A))),1),2)) ) ) )).
fof(t24_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_finseq_1(B,A) => ! [C] : ( m1_finseq_1(C,A) => r1_tarski(B,k8_finseq_1(A,B,C)) ) ) ) )).
fof(t24_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( C = k6_domain_1(u1_struct_0(A),B) => k3_filter_0(A,C) = k2_filter_0(A,B) ) ) ) ) )).
fof(t24_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ( r1_binop_1(A,C,E) & r1_binop_1(B,D,F) ) <=> r1_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k6_filter_1(A,B,E,F)) ) ) ) ) ) ) ) )).
fof(t24_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v18_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v13_lattices(A) => r2_tarski(k5_lattices(A),B) ) ) ) )).
fof(t24_fin_topo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_fin_topo(B,A) => v2_fin_topo(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t24_finance2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & v1_random_3(C,A,k1_numbers,B,k12_prob_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & v1_random_3(D,A,k1_numbers,B,k12_prob_1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k47_valued_1(A,k1_numbers,k1_numbers,C,D)) & v1_funct_2(k47_valued_1(A,k1_numbers,k1_numbers,C,D),A,k1_numbers) & v1_random_3(k47_valued_1(A,k1_numbers,k1_numbers,C,D),A,k1_numbers,B,k12_prob_1) & m1_subset_1(k47_valued_1(A,k1_numbers,k1_numbers,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) ) ) )).
fof(t24_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,k3_finseq_1(k7_finseq_1(A,B))) => ( r1_xxreal_0(C,k3_finseq_1(A)) | k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A))) ) ) ) ) ) )).
fof(t24_finseq_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m2_finseq_1(C,B) => m2_finseq_1(C,A) ) ) )).
fof(t24_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ~ ( r2_hidden(B,k1_relset_1(k4_ordinal1,A)) & B = k5_numbers ) ) )).
fof(t24_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(A)) & ~ r1_xxreal_0(k4_finseq_4(A,B),C) & k1_funct_1(A,C) = B ) ) ) )).
fof(t24_finseq_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ! [D] : ( m2_finseq_1(D,C) => ( r2_tarski(B,k10_xtuple_0(D)) => k7_finseq_1(k5_finseq_4(D,B),k12_finseq_1(A,B)) = k17_finseq_1(C,k4_finseq_4(D,B),D) ) ) ) ) )).
fof(t24_finseq_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k3_finseq_5(k7_finseq_1(k9_finseq_1(A),B)) = k7_finseq_1(k3_finseq_5(B),k9_finseq_1(A)) ) )).
fof(t24_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => k2_finseq_7(A,k3_finseq_4(A,B,C,D),1,2) = k3_finseq_4(A,C,B,D) ) ) ) ) )).
fof(t24_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( r4_finseq_8(A,B,C) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | ( r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(B)) & k3_finseq_6(A,B,k7_nat_d(k1_nat_1(k3_finseq_1(B),1),k3_finseq_1(C)),k3_finseq_1(B)) = C ) ) ) ) ) ) )).
fof(t24_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v2_binop_1(F,B) => r2_funct_2(A,B,k1_partfun1(A,B,B,B,k6_funcop_1(B,A,F,D,E),k10_funcop_1(B,B,F,C,k6_partfun1(B))),k6_funcop_1(B,A,F,k1_partfun1(A,B,B,B,D,k10_funcop_1(B,B,F,C,k6_partfun1(B))),E)) ) ) ) ) ) ) ) )).
fof(t24_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k9_fintopo2(A,B),k9_fintopo2(A,C)) ) ) ) ) )).
fof(t24_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_orders_2(A) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k5_fintopo3(A,B,C),B) ) ) ) ) )).
fof(t24_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_orders_2(A) & r1_xboole_0(B,C) & r1_xboole_0(k7_fin_topo(A,B),C) & r1_xboole_0(k7_fin_topo(A,C),B) ) => r1_fintopo4(A,B,C) ) ) ) ) )).
fof(t24_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => k7_flang_1(A,B,k5_numbers) = k4_flang_1(A,k2_flang_1(A)) ) )).
fof(t24_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,C) & r1_xxreal_0(C,E) ) => k1_flang_2(A,B,D,E) = k4_subset_1(k8_afinsq_1(A),k1_flang_2(A,B,D,C),k1_flang_2(A,B,C,E)) ) ) ) ) ) )).
fof(t24_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k6_flang_1(A,k7_flang_1(A,B,C),k1_flang_3(A,B,D)) = k6_flang_1(A,k1_flang_3(A,B,D),k7_flang_1(A,B,C)) ) ) ) )).
fof(t24_fomodel0,axiom,( ! [A] : ! [B] : ( k8_relset_1(B,k5_margrel1,k10_fomodel0(A,B),k6_domain_1(k4_ordinal1,k5_numbers)) = k6_subset_1(B,A) & k8_relset_1(B,k5_margrel1,k10_fomodel0(A,B),k6_domain_1(k4_ordinal1,1)) = k3_xboole_0(A,B) ) )).
fof(t24_fomodel2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v6_struct_0(B) & v11_fomodel1(B) & l1_fomodel1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m2_subset_1(D,k9_funct_2(k37_fomodel1(B),k3_rfunct_3(k3_finseq_2(C),k2_xboole_0(C,k5_margrel1))),k15_fomodel2(B,C)) => r2_tarski(k23_fomodel2(B,C,A,D),k9_funct_2(k24_fomodel2(B,A),k5_margrel1)) ) ) ) ) )).
fof(t24_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_tarski(k2_relset_1(u1_struct_0(A),C),B) => r1_tarski(k2_frechet(A,C),B) ) ) ) ) ) )).
fof(t24_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v8_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( v2_frechet(B,A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_frechet(A,B) != k6_domain_1(u1_struct_0(A),C) ) ) ) ) ) )).
fof(t24_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C)))) => ! [E] : ( m1_subset_1(E,k5_margrel1) => ! [F] : ( m1_subset_1(F,k5_margrel1) => ! [G] : ( m1_subset_1(G,k5_margrel1) => ( ( E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) ) => ( k1_funct_1(k5_facirc_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C),D,2),k1_fscirc_1(A,B,C)) = k2_binarith(k2_binarith(E,F),G) & k1_funct_1(k5_facirc_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C),D,2),k6_fscirc_1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),F),k9_margrel1(F,G)),k9_margrel1(k8_margrel1(E),G)) ) ) ) ) ) ) ) ) ) )).
fof(t24_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(A,C),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & ? [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C)))) & ? [E] : ( m1_subset_1(E,k5_margrel1) & ? [F] : ( m1_subset_1(F,k5_margrel1) & ? [G] : ( m1_subset_1(G,k5_margrel1) & E = k1_funct_1(D,A) & F = k1_funct_1(D,B) & G = k1_funct_1(D,C) & ~ ( k1_funct_1(k5_facirc_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C),D,2),k1_fscirc_1(A,B,C)) = k2_binarith(k2_binarith(E,F),G) & k1_funct_1(k5_facirc_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C),D,2),k6_fscirc_1(A,B,C)) = k1_binarith(k1_binarith(k9_margrel1(k8_margrel1(E),F),k9_margrel1(F,G)),k9_margrel1(k8_margrel1(E),G)) ) ) ) ) ) ) )).
fof(t24_fsm_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( ~ v2_struct_0(D) & l2_fsm_1(D,B,C) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ( r5_fsm_1(B,C,D,E,F) => r6_fsm_1(B,C,D,E,F,A) ) ) ) ) ) ) ) )).
fof(t24_fsm_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_fsm_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers)) ) => ( ( v1_fsm_2(A,k2_zfmisc_1(k1_numbers,k1_numbers)) & u1_struct_0(A) = k1_ordinal1(k1_numbers) & u1_fsm_2(k2_zfmisc_1(k1_numbers,k1_numbers),A) = k1_numbers & u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A) = k1_numbers & u4_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers),A) = k6_partfun1(u1_struct_0(A)) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(C,B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(B,C))) = B ) ) ) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(C,B) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(B,C))) = C ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => r3_fsm_2(k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers),A,k1_domain_1(k1_numbers,k1_numbers,B,C),k3_xxreal_0(B,C)) ) ) ) ) )).
fof(t24_fsm_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k8_afinsq_1(A)) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( ( ~ v2_struct_0(D) & l1_rewrite3(D,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A)))) ) => ! [E] : ( m1_rewrite1(E,k1_rewrite3(A,k4_subset_1(k3_catalan2(A),k9_flang_1(A),k4_flang_1(A,k2_flang_1(A))),D)) => ~ ( k2_xtuple_0(k1_funct_1(E,1)) = k1_flang_1(A,B,C) & k2_xtuple_0(k1_funct_1(E,k3_finseq_1(E))) = k2_flang_1(A) & ! [F] : ( v7_ordinal1(F) => ~ ( r2_tarski(F,k4_finseq_1(E)) & k2_xtuple_0(k1_funct_1(E,F)) = C ) ) ) ) ) ) ) ) )).
fof(t24_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_tarski(A,u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(B,u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(C,u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(D,u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(E,u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k36_gfacirc1(A,B,C),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k33_gfacirc1(A,B,C),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k4_gfacirc1),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k24_gfacirc1(k36_gfacirc1(A,B,C),E,D),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k3_gfacirc1),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(E,D),k2_twoscomp),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1),u1_struct_0(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k21_gfacirc1(k36_gfacirc1(A,B,C),E,D),u1_struct_0(k13_ftacell1(A,B,C,D,E))) ) )).
fof(t24_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( k5_relat_1(A,D) = k5_relat_1(B,D) => k5_relat_1(k3_funcop_1(E,C,A),D) = k5_relat_1(k3_funcop_1(E,C,B),D) ) ) ) ) ) )).
fof(t24_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k5_struct_0(k11_funcsdom(A)) = k9_funcsdom(A) ) )).
fof(t24_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v2_funct_1(A) & v2_funct_1(B) ) => v2_funct_1(k3_relat_1(A,B)) ) ) ) )).
fof(t24_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,B,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) ) => ( ( v2_funct_1(k1_partfun1(A,B,B,C,D,E)) & k2_relset_1(B,D) = B ) => ( ( C = k1_xboole_0 & B != k1_xboole_0 ) | ( v2_funct_1(D) & v2_funct_1(E) ) ) ) ) ) )).
fof(t24_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k8_relat_1(k3_funct_3(B),A),k1_zfmisc_1(k10_xtuple_0(B))) ) )).
fof(t24_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k5_relat_1(k1_funct_4(A,B),k6_subset_1(k9_xtuple_0(A),k9_xtuple_0(B))),A) ) ) )).
fof(t24_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k9_xtuple_0(C) = k2_zfmisc_1(A,B) => ( k2_zfmisc_1(A,B) = k1_xboole_0 | ( k9_xtuple_0(k1_funct_5(C)) = A & k9_xtuple_0(k3_funct_5(C)) = B ) ) ) ) )).
fof(t24_funct_6,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( k1_funct_6(k7_funcop_1(A,B)) = k7_funcop_1(A,k9_xtuple_0(B)) & k2_funct_6(k7_funcop_1(A,B)) = k7_funcop_1(A,k10_xtuple_0(B)) ) ) )).
fof(t24_funct_8,axiom,( ! [A] : ( ( v1_funct_8(A) & m1_subset_1(A,k1_zfmisc_1(k2_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_funct_8(A,k1_numbers,k1_numbers,B) & r2_funct_8(A,k1_numbers,k1_numbers,C) ) => r2_funct_8(A,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C)) ) ) ) ) )).
fof(t24_funct_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_int_1(A) ) => v1_funct_9(k2_fdiff_9,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),A)) ) )).
fof(t24_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_altcat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( k1_altcat_1(B,C,C) != k1_xboole_0 => ! [D] : ( m1_subset_1(D,k1_altcat_1(B,C,C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,k1_altcat_1(A,E,F)) => ( k1_altcat_1(A,E,F) != k1_xboole_0 => k1_funct_1(k4_functor0(A,B,k9_functor0(A,B,C,D),E,F),G) = D ) ) ) ) ) ) ) ) ) )).
fof(t24_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( m1_functor2(E,A,B,C,D) => ( r1_functor2(A,B,C,D) => r8_pboole(u1_struct_0(A),k7_functor3(A,A,B,k12_functor0(A),k12_functor0(A),C,D,k4_functor2(A,A,k12_functor0(A)),E),E) ) ) ) ) ) ) )).
fof(t24_fuznum_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( v1_fcont_1(A) & ~ v1_xboole_0(A) & v1_fcont_1(B) & ~ v1_xboole_0(B) & ? [C] : ( v1_xreal_0(C) & ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & k1_relset_1(k1_numbers,A) = k1_rcomp_1(C,D) & k1_relset_1(k1_numbers,B) = k1_rcomp_1(D,E) ) ) ) & r1_partfun1(A,B) & ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ~ ( r2_relset_1(k1_numbers,k1_numbers,C,k7_funct_4(k1_numbers,k1_numbers,A,B)) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,k1_relset_1(k1_numbers,C)) => r1_fcont_1(C,D) ) ) ) ) ) ) ) )).
fof(t24_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( ( r1_fuzzy_1(C,B) & r1_fuzzy_1(C,D) ) => r1_fuzzy_1(C,k1_fuzzy_1(A,B,D)) ) ) ) ) ) )).
fof(t24_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_fuzzy_1(B,C) => r1_fuzzy_1(k2_fuzzy_1(A,B,k1_fuzzy_2(A,C,B)),C) ) ) ) ) )).
fof(t24_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k3_fuzzy_4(A,A,A,B,k4_fuzzy_2(A,A)),k3_fuzzy_4(A,A,A,k4_fuzzy_2(A,A),B)) ) ) )).
fof(t24_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_fvaluat1(D,A) => ( ( v3_fvaluat1(A) & r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k6_numbers,D,k12_algstr_0(A,B,C))) ) => ( C = k4_struct_0(A) | r1_xxreal_0(k3_funct_2(u1_struct_0(A),k6_numbers,D,C),k3_funct_2(u1_struct_0(A),k6_numbers,D,B)) ) ) ) ) ) ) )).
fof(t24_fvsum_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_fvsum_1(A,k12_finseq_1(u1_struct_0(A),B)) = k12_finseq_1(u1_struct_0(A),k4_algstr_0(A,B)) ) ) )).
fof(t24_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ v1_xboole_0(k18_gate_1(A,B,C,D,E)) <=> ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & ~ v1_xboole_0(C) & ~ v1_xboole_0(D) & ~ v1_xboole_0(E) ) ) )).
fof(t24_gaussint,axiom,( ! [A] : ( m1_ec_pf_1(A,k11_gaussint) => r1_tarski(k4_numbers,u1_struct_0(A)) ) )).
fof(t24_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => m2_subset_1(k4_struct_0(A),u1_struct_0(A),B) ) ) )).
fof(t24_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( ( r1_xxreal_0(k3_finseq_1(E),A) & r1_xxreal_0(k3_finseq_1(E),B) & r1_xxreal_0(k3_finseq_1(E),C) ) => k9_genealg1(D,E,F,A,B,C) = E ) ) ) ) ) ) ) )).
fof(t24_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ~ ( r1_analmetr(A,G,H) & r2_geomtrap(A,G,H,B,D,C,E) & r2_geomtrap(A,G,H,B,D,C,F) & B != D & E != F ) ) ) ) ) ) ) ) ) )).
fof(t24_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : k3_msafree2(k10_gfacirc1(A,B,C)) = k2_xboole_0(k1_tarski(k4_tarski(k10_finseq_1(A,B),k1_facirc_1)),k1_tarski(k12_gfacirc1(A,B,C))) )).
fof(t24_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(A,B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => k8_gfacirc2(k1_nat_1(B,1),A,C,D) = k24_gfacirc1(k1_funct_1(C,k1_nat_1(B,1)),k1_funct_1(D,k1_nat_1(B,1)),k7_gfacirc2(B,C,D)) ) ) ) ) ) )).
fof(t24_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( k7_glib_000(A) = k1_xboole_0 => v7_glib_000(A) ) ) )).
fof(t24_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,B)) => ( k1_funct_1(B,C) = k1_funct_1(k6_glib_001(A,B),k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),1)) & r2_tarski(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),1),k1_relset_1(k4_ordinal1,k6_glib_001(A,B))) ) ) ) ) ) )).
fof(t24_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => k5_setfam_1(k6_glib_000(A),k3_glib_002(A)) = k6_glib_000(A) ) )).
fof(t24_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ( k4_glib_001(A,B) = k3_glib_001(A,C) => k10_glib_003(A,k7_glib_001(A,B,C)) = k2_xcmplx_0(k10_glib_003(A,B),k10_glib_003(A,C)) ) ) ) ) )).
fof(t24_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => v13_glib_000(k10_glib_004(A,B)) ) ) )).
fof(t24_goboard1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(C)) ) => ( ( ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(A)) & r2_tarski(k1_nat_1(E,1),k4_finseq_1(A)) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_hidden(k4_tarski(F,G),k2_matrix_0(D)) & r2_hidden(k4_tarski(H,I),k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,E) = k3_matrix_0(C,D,F,G) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(E,1)) = k3_matrix_0(C,D,H,I) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F,H)),k9_complex1(k6_xcmplx_0(G,I))) = 1 ) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(B)) & r2_tarski(k1_nat_1(E,1),k4_finseq_1(B)) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_hidden(k4_tarski(F,G),k2_matrix_0(D)) & r2_hidden(k4_tarski(H,I),k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,E) = k3_matrix_0(C,D,F,G) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,k1_nat_1(E,1)) = k3_matrix_0(C,D,H,I) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F,H)),k9_complex1(k6_xcmplx_0(G,I))) = 1 ) ) ) ) ) ) ) & ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ( ( r2_hidden(k4_tarski(E,F),k2_matrix_0(D)) & r2_hidden(k4_tarski(G,H),k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) = k3_matrix_0(C,D,E,F) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) = k3_matrix_0(C,D,G,H) & r2_tarski(k3_finseq_1(A),k4_finseq_1(A)) & r2_tarski(1,k4_finseq_1(B)) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(E,G)),k9_complex1(k6_xcmplx_0(F,H))) = 1 ) ) ) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(E,k4_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B))) & r2_tarski(k1_nat_1(E,1),k4_finseq_1(k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B))) ) => ! [F] : ( v7_ordinal1(F) => ! [G] : ( v7_ordinal1(G) => ! [H] : ( v7_ordinal1(H) => ! [I] : ( v7_ordinal1(I) => ( ( r2_hidden(k4_tarski(F,G),k2_matrix_0(D)) & r2_hidden(k4_tarski(H,I),k2_matrix_0(D)) & k7_partfun1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B),E) = k3_matrix_0(C,D,F,G) & k7_partfun1(u1_struct_0(k15_euclid(2)),k8_finseq_1(u1_struct_0(k15_euclid(2)),A,B),k1_nat_1(E,1)) = k3_matrix_0(C,D,H,I) ) => k2_xcmplx_0(k9_complex1(k6_xcmplx_0(F,H)),k9_complex1(k6_xcmplx_0(G,I))) = 1 ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( v2_goboard1(B) & v3_goboard1(B) & r1_xxreal_0(k1_nat_1(A,1),k1_matrix_0(B)) ) => ( v3_relat_1(B) | k9_subset_1(u1_struct_0(k15_euclid(2)),k2_goboard5(B,A),k2_goboard5(B,k1_nat_1(A,1))) = a_2_11_goboard5(A,B) ) ) ) ) )).
fof(t24_goboard6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k3_finseq_1(B),A) | k1_tops_1(k15_euclid(2),k3_goboard5(B,A,k5_numbers)) = a_2_4_goboard6(A,B) ) ) ) ) )).
fof(t24_goboard7,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k1_matrix_0(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_matrix_0(A)) & ~ r1_xboole_0(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) & ~ ( C = E & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C)) ) & ~ ( k1_nat_1(C,1) = E & k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),A,k1_nat_1(D,1),E))) = k1_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,B,k1_nat_1(C,1))) ) ) ) ) ) ) ) )).
fof(t24_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( r2_tarski(C,B) & r1_xxreal_0(k18_euclid(C),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_matrix_0(k2_goboard2(A))))) ) ) => r1_xboole_0(B,k3_topreal1(2,A)) ) ) ) )).
fof(t24_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => k3_goboard9(k1_goboard9(A)) = k2_goboard9(A) ) )).
fof(t24_gobrd11,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k3_goboard5(A,k5_numbers,k5_numbers) = a_1_13_gobrd11(A) ) )).
fof(t24_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(D)) & r1_goboard1(u1_struct_0(k15_euclid(2)),D,E) & r2_hidden(k4_tarski(A,B),k2_matrix_0(E)) & r2_hidden(k4_tarski(k1_nat_1(A,1),B),k2_matrix_0(E)) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,B) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k1_nat_1(A,1),B) ) => k1_gobrd13(D,E,C) = k3_goboard5(E,A,k7_nat_d(B,1)) ) ) ) ) ) ) )).
fof(t24_gobrd14,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ~ ( r2_tarski(A,k3_goboard9(B)) & r1_xxreal_0(k8_pscomp_1(k3_topreal1(2,B)),k17_euclid(A)) ) ) ) )).
fof(t24_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ( r1_henmodel(A,B,k6_cqc_lang(A,k5_cqc_lang(A))) <=> ~ v1_henmodel(B,A) ) ) ) )).
fof(t24_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ~ ( ? [B] : ( m1_subset_1(B,k4_ordinal1) & k7_group_1(A) = k3_xcmplx_0(2,B) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ~ ( k6_group_1(A,B) = 2 & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k6_group_1(A,C) = 2 => B = C ) ) ) ) ) ) )).
fof(t24_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ( A != 2 => k4_nat_d(k1_gr_cy_3(A),8) = 7 ) ) )).
fof(t24_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ( ( r1_partfun1(u1_graph_1(A),u1_graph_1(B)) & r1_partfun1(u2_graph_1(A),u2_graph_1(B)) ) => ( ( k5_graph_1(A,B) != B & k5_graph_1(B,A) != B ) | r4_graph_1(A,B) ) ) ) ) )).
fof(t24_graph_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) ) => ( ( r1_tarski(k10_xtuple_0(B),k1_relset_1(k4_ordinal1,A)) & r1_tarski(k10_xtuple_0(C),k1_relset_1(k4_ordinal1,A)) & D = k3_relat_1(B,A) & E = k3_relat_1(C,A) & F = k3_relat_1(k7_finseq_1(B,C),A) ) => F = k7_finseq_1(D,E) ) ) ) ) ) ) ) )).
fof(t24_graph_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k10_graph_1(A,B) = k7_graph_3(A,B,u4_struct_0(A)) ) ) )).
fof(t24_graph_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( ( v7_graph_1(B,A) & v1_graph_4(B,A) & m2_graph_1(B,A) ) => ( v7_graph_1(B,A) & v3_graph_2(B,A) & m2_graph_1(B,A) ) ) & ( ( v7_graph_1(B,A) & v3_graph_2(B,A) & m2_graph_1(B,A) ) => ( v7_graph_1(B,A) & v1_graph_4(B,A) & m2_graph_1(B,A) ) ) & ( ( v7_graph_1(B,A) & v3_graph_2(B,A) & m2_graph_1(B,A) ) => ( v2_funct_1(B) & v7_graph_1(B,A) & m2_graph_1(B,A) ) ) ) ) ) )).
fof(t24_graph_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l1_graph_1(B) ) => ! [C] : ( m2_finseq_1(C,u4_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r2_tarski(A,k4_finseq_1(C)) => ( ( D != k1_funct_1(u1_graph_1(B),k1_funct_1(C,A)) & D != k1_funct_1(u2_graph_1(B),k1_funct_1(C,A)) ) | r2_tarski(D,k2_graph_5(B,C)) ) ) ) ) ) ) )).
fof(t24_graphsp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_graph_1(A) & l1_graph_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u4_struct_0(A),k8_graph_5) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A),k8_graph_5))) ) => ( k11_graphsp(A,B,C,D) = k4_xcmplx_0(1) <=> ! [E] : ~ ( r2_tarski(E,u4_struct_0(A)) & r1_graph_4(A,B,C,E) ) ) ) ) ) ) )).
fof(t24_grcat_1,axiom,( ! [A] : ( ( v1_grcat_1(A) & v2_grcat_1(A) & l1_grcat_1(A) ) => ( ~ v1_xboole_0(k1_tarski(A)) & v4_grcat_1(k1_tarski(A)) ) ) )).
fof(t24_grfunc_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( ( r2_hidden(B,k9_xtuple_0(C)) & r2_tarski(k1_funct_1(C,B),A) ) <=> r2_hidden(k4_tarski(B,k1_funct_1(C,B)),k6_relat_1(A,C)) ) ) )).
fof(t24_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_group_6(G,B,k10_group_6(A,B,C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(k10_group_6(A,B,C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k10_group_6(A,B,C))) => ( ( H = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) & I = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F) & G = k2_grsolv_1(A,B,C,D) ) => k13_group_2(k10_group_6(A,B,C),G,k6_algstr_0(k10_group_6(A,B,C),H,I)) = k13_group_2(B,k2_grsolv_1(A,B,C,D),k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_groeb_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ( ( ~ v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) ) => ( r2_groeb_1(A,B,C,E,D) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(F,D) => r1_rewrite1(k3_polyred(A,B,C,E),F,k8_polynom1(A,C)) ) ) ) ) ) ) ) ) )).
fof(t24_groeb_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(G,C) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r2_tarski(E,D) & r2_tarski(F,D) & r4_rewrite1(k3_polyred(A,B,C,D),k3_groeb_2(A,B,C,E,F),G) ) => r8_pboole(k15_pre_poly(A),G,k8_polynom1(A,C)) ) ) ) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r2_tarski(E,D) & r2_tarski(F,D) ) => r1_rewrite1(k3_polyred(A,B,C,D),k3_groeb_2(A,B,C,E,F),k8_polynom1(A,C)) ) ) ) ) ) ) ) ) )).
fof(t24_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) => ( r1_tarski(k4_groeb_3(A,B,C,D,E),k3_polynom1(k15_pre_poly(A),C,D)) & k4_card_1(k4_groeb_3(A,B,C,D,E)) = k6_xcmplx_0(k4_card_1(k3_polynom1(k15_pre_poly(A),C,D)),E) & ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,A) & v1_funct_1(F) & v1_partfun1(F,A) & v4_valued_0(F) & v2_pre_poly(F) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v4_valued_0(G) & v2_pre_poly(G) ) => ( ( r2_tarski(F,k4_groeb_3(A,B,C,D,E)) & r2_tarski(G,k3_polynom1(k15_pre_poly(A),C,D)) & r1_termord(A,B,G,F) ) => r2_tarski(G,k4_groeb_3(A,B,C,D,E)) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k5_finseqop(u1_struct_0(A),u2_algstr_0(A)),k3_group_1(A)) ) )).
fof(t24_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( m1_group_2(D,A) => k2_group_11(A,k4_subset_1(u1_struct_0(A),B,C),D) = k4_subset_1(u1_struct_0(A),k2_group_11(A,B,D),k2_group_11(A,C,D)) ) ) ) ) )).
fof(t24_group_17,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_group_7(C) & v2_group_7(C,A) & v3_group_7(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,B) & v1_funct_1(D) & v1_partfun1(D,B) & v1_group_7(D) & v2_group_7(D,B) & v3_group_7(D,B) ) => ! [E] : ( ( ~ v2_struct_0(E) & v2_group_1(E) & v3_group_1(E) & l3_algstr_0(E) ) => ! [F] : ( ( ~ v2_struct_0(F) & v2_group_1(F) & v3_group_1(F) & l3_algstr_0(F) ) => ! [G] : ( m1_subset_1(G,B) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(E),u1_struct_0(k2_group_7(A,C))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(k2_group_7(A,C))))) ) => ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(E),u1_struct_0(k2_group_7(A,C))) & v1_group_6(H,E,k2_group_7(A,C)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(k2_group_7(A,C))))) & v3_funct_2(H,u1_struct_0(E),u1_struct_0(k2_group_7(A,C))) & B = k2_xboole_0(A,k6_domain_1(B,G)) & D = k1_funct_4(C,k17_funcop_1(G,F)) ) => ( r2_tarski(G,A) | ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))))) ) => ( ! [J] : ( m1_subset_1(J,u1_struct_0(E)) => ! [K] : ( m1_subset_1(K,u1_struct_0(F)) => ? [L] : ( v1_relat_1(L) & v1_funct_1(L) & L = k3_funct_2(u1_struct_0(E),u1_struct_0(k2_group_7(A,C)),H,J) & k3_funct_2(u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D)),I,k5_group_7(E,F,J,K)) = k1_funct_4(L,k17_funcop_1(G,K)) ) ) ) => v3_funct_2(I,u1_struct_0(k2_group_7(k2_tarski(1,2),k10_finseq_1(E,F))),u1_struct_0(k2_group_7(B,D))) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_19(A,B,D))) => ( r1_struct_0(k2_group_7(A,B),C) => r1_struct_0(k2_group_7(A,B),k1_funct_7(C,D,E)) ) ) ) ) ) ) )).
fof(t24_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r2_tarski(D,B) & r2_tarski(E,C) ) => k6_algstr_0(A,D,E) = k6_algstr_0(A,E,D) ) ) ) => k2_group_2(A,B,C) = k2_group_2(A,C,B) ) ) ) ) )).
fof(t24_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_group_3(A,k2_group_3(A,B,C),D) = k2_group_3(A,B,k6_algstr_0(A,C,D)) ) ) ) ) )).
fof(t24_group_4,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( ~ v2_struct_0(D) & v2_group_1(D) & v3_group_1(D) & l3_algstr_0(D) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(D)) => ! [G] : ( m1_subset_1(G,u1_struct_0(D)) => k4_group_4(D,k3_finseq_4(k4_numbers,k2_group_4(A),k2_group_4(B),k2_group_4(C)),k3_finseq_4(u1_struct_0(D),E,F,G)) = k3_finseq_4(u1_struct_0(D),k5_group_1(D,E,A),k5_group_1(D,F,B),k5_group_1(D,G,C)) ) ) ) ) ) ) ) )).
fof(t24_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_group_5(A,B,C) = k6_algstr_0(A,k6_algstr_0(A,k5_group_1(A,k2_group_1(A,B),2),k5_group_1(A,k6_algstr_0(A,B,k2_group_1(A,C)),2)),k5_group_1(A,C,2)) ) ) ) )).
fof(t24_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v1_group_3(B,A) & m1_group_2(B,A) ) => k1_group_1(k5_group_6(A,B)) = k8_group_2(A,B) ) ) )).
fof(t24_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_group_1(C) & l3_algstr_0(C) ) => ( v1_relat_1(k11_finseq_1(A,B,C)) & v4_relat_1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_partfun1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_group_7(k11_finseq_1(A,B,C)) & v3_group_7(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) ) ) ) ) )).
fof(t24_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( A = k5_group_4(A,k6_domain_1(u1_struct_0(A),B)) => ! [C] : ( ( v15_algstr_0(C) & m1_group_2(C,A) ) => ~ ( C != k6_group_2(A) & ! [D] : ( v7_ordinal1(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_struct_0(C,k5_group_1(A,B,D)) ) ) ) ) ) ) ) )).
fof(t24_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_struct_0(k18_group_9(A,B,C),D) <=> ? [E] : ( m2_finseq_1(E,u1_struct_0(B)) & ? [F] : ( m2_finseq_1(F,k4_numbers) & ? [G] : ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & G = k1_group_9(A,u1_struct_0(B),u1_group_9(A,B),C) & k3_finseq_1(E) = k3_finseq_1(F) & r1_tarski(k2_relset_1(u1_struct_0(B),E),G) & k3_group_4(B,k4_group_4(B,F,E)) = D ) ) ) ) ) ) ) )).
fof(t24_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( ( v2_group_10(B,A) & k2_groupp_1(A,B) = k5_numbers ) => B = k6_group_2(B) ) ) ) )).
fof(t24_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r1_gtarski1(A,B,C,D) & r1_gtarski1(A,E,F,G) & r2_gtarski1(A,B,C,E,F) & r2_gtarski1(A,C,D,F,G) ) => r2_gtarski1(A,B,D,E,G) ) ) ) ) ) ) ) ) )).
fof(t24_hahnban,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),k1_numbers) & v2_hahnban(C,B) & v3_hahnban(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ~ ( ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( D = E => r1_xxreal_0(k3_funct_2(u1_struct_0(B),k1_numbers,C,D),k2_normsp_0(A,E)) ) ) ) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & v2_hahnban(D,A) & v3_hahnban(D,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ~ ( k2_partfun1(u1_struct_0(A),k1_numbers,D,u1_struct_0(B)) = C & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,D,E),k2_normsp_0(A,E)) ) ) ) ) ) ) ) )).
fof(t24_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v3_hahnban1(B,k1_complfld,A) & v6_hahnban1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k10_hahnban1(A)),k1_numbers) & v1_hahnban(B,k10_hahnban1(A)) & v4_hahnban(B,k10_hahnban1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) ) ) )).
fof(t24_hallmar1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v2_relat_1(B) & m2_finseq_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m3_hallmar1(E,A,B,C) => ! [F] : ( m3_hallmar1(F,A,E,D) => ( ( r2_tarski(C,k4_finseq_1(B)) & r2_tarski(D,k4_finseq_1(B)) ) => ( k1_funct_1(F,C) = k1_xboole_0 | k1_funct_1(E,D) = k1_xboole_0 | ( m3_hallmar1(F,A,B,D) & m3_hallmar1(F,A,B,C) ) ) ) ) ) ) ) ) ) )).
fof(t24_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( ( D = k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k5_weierstr(A,B),C) & v2_compts_1(B,k3_pcomps_1(A)) & v2_compts_1(C,k3_pcomps_1(A)) ) => v4_xxreal_2(D) ) ) ) ) ) )).
fof(t24_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v5_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m3_glib_001(C,A) => ~ ( k3_glib_001(A,B) = k3_glib_001(A,C) & ~ r1_tarski(B,C) & ~ r1_tarski(C,B) & k1_funct_1(B,k1_nat_1(k3_finseq_1(k1_helly(B,C)),2)) = k1_funct_1(C,k1_nat_1(k3_finseq_1(k1_helly(B,C)),2)) ) ) ) ) )).
fof(t24_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(B,A,k1_complfld) & v1_hermitan(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => v1_vectsp_4(k8_vectsp10(A,k1_complfld,B),k1_complfld,A) ) ) )).
fof(t24_heyting1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k11_normform(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => r3_lattices(k11_normform(A),k4_lattices(k11_normform(A),B,k4_binop_1(u1_struct_0(k11_normform(A)),k9_heyting1(A),B,C)),C) ) ) )).
fof(t24_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,k4_partfun1(A,B)) => ! [D] : ( m2_subset_1(D,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ! [E] : ( m2_subset_1(E,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => ~ ( ! [F] : ~ ( r2_tarski(F,D) & ! [G] : ~ ( r2_tarski(G,E) & r1_tarski(G,k2_xboole_0(F,C)) ) ) & ! [F] : ~ ( r2_tarski(F,k3_heyting2(A,B,D,E)) & r1_tarski(F,C) ) ) ) ) ) ) )).
fof(t24_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r1_tarski(k3_heyting3(A,B),k2_heyting3(C,B)) <=> ~ r1_xxreal_0(C,A) ) ) ) ) )).
fof(t24_hfdiff_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(1,A) & r1_taylor_1(C,A,B) ) => r2_relset_1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(C,B),1),k2_fdiff_1(C,B)) ) ) ) ) )).
fof(t24_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( m1_ideal_1(F,A,C) => ! [G] : ( m1_ideal_1(G,B,D) => ! [H] : ( m2_finseq_1(H,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A))) => ( ( v1_ringcat1(E,A,B) & k3_finseq_1(F) = k3_finseq_1(G) & r1_ideal_1(A,C,F,H) & ! [I] : ( r2_tarski(I,k4_finseq_1(G)) => k1_funct_1(G,I) = k6_algstr_0(B,k6_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k1_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),H,I))),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),H,I)))),k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k3_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k7_partfun1(k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),H,I)))) ) ) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,k4_rlvect_1(A,F)) = k4_rlvect_1(B,G) ) ) ) ) ) ) ) ) ) )).
fof(t24_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => ! [D] : ( m1_subset_1(D,k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(A,k3_hilbert1(B,C)),k3_hilbert1(k3_hilbert1(D,B),k3_hilbert1(A,k3_hilbert1(D,C)))),k6_hilbert1) ) ) ) ) )).
fof(t24_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => k4_hilbert1(B,C) != k1_hilbert2(A) ) ) ) )).
fof(t24_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ ( C = k1_xboole_0 & B != k1_xboole_0 & A != k1_xboole_0 ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_funct_2(B,C)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_funct_2(B,C)))) ) => ( v1_funct_1(k2_pralg_2(D)) & v1_funct_2(k2_pralg_2(D),k1_funct_2(A,B),k1_funct_2(A,C)) & m1_subset_1(k2_pralg_2(D),k1_zfmisc_1(k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C)))) ) ) ) )).
fof(t24_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( m1_trees_4(C,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r1_huffman1(A,B,C,D) => ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(1,E) => ( r1_xxreal_0(k3_finseq_1(C),E) | ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ! [G] : ( ( ~ v1_xboole_0(G) & v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( ( F = k1_funct_1(C,E) & G = k1_funct_1(C,k1_nat_1(E,1)) ) => k9_huffman1(G) = k1_nat_1(k9_huffman1(F),1) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ~ ( k2_hurwitz(A,B) = k5_numbers & v1_polynom5(B,A) ) ) ) )).
fof(t24_hurwitz2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v3_hurwitz2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_polynom4(A,B,k4_algstr_0(A,C)) = k2_polynom4(A,B,C) ) ) ) )).
fof(t24_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => r1_idea_1(C,k9_idea_1(C,A,B)) ) ) ) )).
fof(t24_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_group_1(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_ideal_1(D,A,B) => m1_ideal_1(k1_polynom1(A,D,C),A,B) ) ) ) ) )).
fof(t24_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ~ ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),E) <=> E = D ) ) ) ) ) ) ) )).
fof(t24_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m5_index_1(D,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B),k7_isocat_1(B)) => ! [E] : ( m4_index_1(E,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),D) => m4_index_1(E,u1_struct_0(A),u4_struct_0(A),u1_graph_1(A),u2_graph_1(A),k14_index_1(A,B,B,C,D)) ) ) ) ) ) )).
fof(t24_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r3_pua2mss1(A,B,C,D) => ! [E] : ( l3_msualg_1(E,B) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ! [G] : ( m1_subset_1(G,u4_struct_0(B)) => ( G = k1_funct_1(D,F) => ( k3_msualg_1(B,G,E) = k3_msualg_1(A,F,k1_instalg1(A,B,E,C,D)) & k4_msualg_1(A,F,k1_instalg1(A,B,E,C,D)) = k4_msualg_1(B,G,E) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(A,C) ) => ( r1_xxreal_0(k2_xcmplx_0(A,1),B) | r1_xxreal_0(k2_xcmplx_0(A,1),C) | B = C ) ) ) ) ) )).
fof(t24_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( r1_int_2(A,B) => ( k3_int_2(k3_xcmplx_0(C,A),k3_xcmplx_0(C,B)) = k1_int_2(C) & k3_int_2(k3_xcmplx_0(C,A),k3_xcmplx_0(B,C)) = k1_int_2(C) & k3_int_2(k3_xcmplx_0(A,C),k3_xcmplx_0(C,B)) = k1_int_2(C) & k3_int_2(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)) = k1_int_2(C) ) ) ) ) ) )).
fof(t24_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( v1_int_2(A) & r1_int_2(A,B) ) => ( r1_xxreal_0(C,k5_numbers) | ! [D] : ( v1_int_1(D) => k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A,k1_square_1(D)),B),k1_newton(A,C)) != k5_numbers ) ) ) ) ) ) )).
fof(t24_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( v1_int_1(C) => ( ( k3_int_2(A,B) = 1 & k3_int_2(C,B) = 1 ) => ( r1_xxreal_0(B,2) | r1_int_5(A,B) | r1_int_5(C,B) | r1_int_5(k3_xcmplx_0(A,C),B) ) ) ) ) ) )).
fof(t24_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(B,k3_finseq_1(A)) => ( r1_xxreal_0(B,k5_numbers) | ( v1_relat_1(k16_finseq_1(B,A)) & v5_relat_1(k16_finseq_1(B,A),k4_numbers) & v1_funct_1(k16_finseq_1(B,A)) & ~ v1_xboole_0(k16_finseq_1(B,A)) & v1_finseq_1(k16_finseq_1(B,A)) & v1_partfun3(k16_finseq_1(B,A)) & v1_int_6(k16_finseq_1(B,A)) ) ) ) ) ) )).
fof(t24_int_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_int_1(C) => ~ ( ~ v4_group_1(B,A) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( k5_group_1(A,B,C) = k5_group_1(A,B,D) & D = k2_xcmplx_0(k2_nat_1(E,k6_group_1(A,B)),C) ) ) ) ) ) ) ) )).
fof(t24_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_finset_1(B) => ( r1_int_8(B,A) => ( k4_card_1(B) = k1_euler_1(A) & ! [C] : ( v1_int_1(C) => ! [D] : ( v1_int_1(D) => ~ ( r2_hidden(C,B) & r2_hidden(D,B) & C != D & r2_int_1(C,D,A) ) ) ) & ! [C] : ( v1_int_1(C) => ( r2_hidden(C,B) => r1_int_2(C,A) ) ) ) ) ) ) )).
fof(t24_integr11,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( B = k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2)),k7_xcmplx_0(k28_sin_cos,2)) => k2_integra5(B,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k18_sin_cos,k1_taylor_1(A)),k16_sin_cos)) = k5_numbers ) ) ) )).
fof(t24_integr12,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [G] : ( ( v3_rcomp_1(G) & m1_subset_1(G,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(C,G) & r1_tarski(G,k2_rcomp_1(k4_xcmplx_0(1),1)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,G) => ( k1_funct_1(E,H) = k2_xcmplx_0(k3_xcmplx_0(A,H),B) & k1_funct_1(F,H) = 1 ) ) ) & G = k1_relset_1(k1_numbers,D) & r2_relset_1(k1_numbers,k1_numbers,D,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k3_sin_cos6,A),k3_rfunct_1(k1_numbers,k1_numbers,E,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,F,k1_taylor_1(2)),k4_taylor_1(k7_xcmplx_0(1,2)))))) ) => k2_integra5(C,D) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k3_sin_cos6),k2_seq_4(C)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,E,k3_sin_cos6),k3_seq_4(C))) ) ) ) ) ) ) ) ) )).
fof(t24_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos),k41_valued_1(k1_numbers,k1_numbers,k16_sin_cos))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k27_sin_cos,k22_sin_cos)),k3_seq_4(A))) ) ) ) ) )).
fof(t24_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,B) & r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1))) & B = k1_relset_1(k1_numbers,k27_sin_cos) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k27_sin_cos),A)) ) => k2_integra5(A,k32_valued_1(k1_numbers,k1_numbers,k27_sin_cos)) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1),k3_seq_4(A))) ) ) ) )).
fof(t24_integr19,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v8_ordinal1(F) & m1_subset_1(F,k4_ordinal1) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(F)))) ) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(C,D) & r1_integr15(F,k3_integra5(A,B),G) & r1_integra5(k3_integra5(A,B),k1_nfcont_4(F,k1_numbers,G)) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(F),G,k3_integra5(A,B)),F) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k3_integra5(C,D)) => r1_xxreal_0(k12_euclid(k7_partfun1(k1_euclid(F),G,H)),E) ) ) ) => ( r1_xxreal_0(k12_euclid(k12_integr15(C,D,F,G)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) & r1_xxreal_0(k12_euclid(k12_integr15(D,C,F,G)),k3_xcmplx_0(E,k6_xcmplx_0(D,C))) ) ) ) ) ) ) ) ) ) )).
fof(t24_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( ~ v2_struct_0(E) & v13_algstr_0(E) & v2_rlvect_1(E) & v3_rlvect_1(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & v7_rlvect_1(E) & v8_rlvect_1(E) & v3_normsp_0(E) & v4_normsp_0(E) & v2_normsp_1(E) & v3_lopban_1(E) & l1_normsp_1(E) ) => ! [F] : ( ( v1_funct_1(F) & v1_nfcont_3(F,E) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(E)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k6_integr18(E,k5_vfunct_1(k1_numbers,E,F),C,D) = k4_algstr_0(E,k6_integr18(E,F,C,D)) ) ) ) ) ) ) ) )).
fof(t24_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => k18_rvsum_1(k4_integra1(A,k7_rfunct_1(A,A),B)) = k3_integra1(A) ) ) )).
fof(t24_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) ) => ! [E] : ( m1_integra1(E,C) => ( ( r2_tarski(B,k4_finseq_1(E)) & v1_seq_2(k2_partfun1(C,k1_numbers,D,C)) & r1_xxreal_0(A,k5_numbers) ) => k1_funct_1(k5_integra1(C,k26_valued_1(C,k1_numbers,D,A),E),B) = k3_xcmplx_0(A,k1_funct_1(k4_integra1(C,D,E),B)) ) ) ) ) ) ) )).
fof(t24_integra4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_hidden(D,B) & r2_hidden(E,B) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C,D),k1_funct_1(C,E))),A) ) ) ) => r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(C)),k3_seq_4(k1_rvsum_1(C))),A) ) ) ) ) )).
fof(t24_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_integra5(k3_integra5(A,B),E) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,E,k3_integra5(A,B))) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(E)) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => ( k4_integra5(C,D,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F)) = k2_xcmplx_0(k4_integra5(C,D,E),k4_integra5(C,D,F)) & k4_integra5(C,D,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,E,F)) = k6_xcmplx_0(k4_integra5(C,D,E),k4_integra5(C,D,F)) ) ) ) ) ) ) ) ) )).
fof(t24_integra7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k6_xcmplx_0(k1_funct_1(k16_sin_cos,B),k1_funct_1(k16_sin_cos,A)) = k4_integra5(A,B,k18_sin_cos) ) ) )).
fof(t24_integra8,axiom,( r2_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k16_sin_cos),k1_numbers) )).
fof(t24_integra9,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => k1_integra9(C,A,B) = k1_integra9(C,B,A) ) ) ) )).
fof(t24_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_interva1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_interva1(C,A) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_interva1(D,A) ) => r1_interva1(A,k3_interva1(A,k3_interva1(A,B,C),D),k3_interva1(A,B,k3_interva1(A,C,D))) ) ) ) ) )).
fof(t24_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(A,B),k3_intpro_1(k3_intpro_1(B,C),k3_intpro_1(A,C))),k8_intpro_1) ) ) ) )).
fof(t24_irrat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k1_funct_1(B,C) = k1_funct_1(k3_series_1(k3_irrat_1(C)),A) ) => ( v2_comseq_2(B) & k1_seq_2(B) = k1_funct_1(k3_series_1(k5_irrat_1),A) ) ) ) ) )).
fof(t24_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,B,C) => ! [E] : ( m2_cat_1(E,B,C) => ( r2_nattra_1(B,C,D,E) => ! [F] : ( m2_cat_1(F,A,B) => ! [G] : ( m2_nattra_1(G,B,C,D,E) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_nattra_1(A,C,k9_cat_1(A,B,C,F,D),k9_cat_1(A,B,C,F,E),k5_isocat_1(A,B,C,D,E,F,G),H) = k2_nattra_1(B,C,D,E,G,k8_cat_1(A,B,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(t24_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => r2_funct_2(u1_struct_0(A),u4_struct_0(k9_nattra_1(B,C)),k4_nattra_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D)),k6_isocat_2(A,B,C,D,D,k4_nattra_1(k6_cat_2(A,B),C,D))) ) ) ) ) )).
fof(t24_isomichi,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) <=> ( v6_tops_1(k1_tops_1(A,B),A) & v5_tops_1(k2_pre_topc(A,B),A) & v1_xboole_0(k1_isomichi(A,B)) ) ) ) ) )).
fof(t24_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ( ( v1_topreal1(A) & r1_jgraph_1(u1_struct_0(k15_euclid(2)),A,B) ) => v1_topreal1(B) ) ) ) )).
fof(t24_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( v1_xreal_0(C) => ~ ( v5_pre_topc(B,A,k3_topmetr) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E) = F => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),D,E) = k2_xcmplx_0(F,C) ) ) ) & v5_pre_topc(D,A,k3_topmetr) ) ) ) ) ) ) )).
fof(t24_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),A))))) ) => ( ( B = a_0_2_jgraph_3 & v3_tops_2(C,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),A)) ) => v1_topreal2(A) ) ) ) ) )).
fof(t24_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(2),B)),u1_struct_0(k1_pre_topc(k15_euclid(2),C))))) ) => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k3_jgraph_4(A),B) & C = a_0_0_jgraph_4 & B = a_1_1_jgraph_4(A) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | v5_pre_topc(D,k1_pre_topc(k15_euclid(2),B),k1_pre_topc(k15_euclid(2),C)) ) ) ) ) ) ) )).
fof(t24_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_xxreal_0(k5_numbers,k17_euclid(B)) & r1_xxreal_0(k5_numbers,k17_euclid(C)) ) => ( r1_xxreal_0(A,k4_xcmplx_0(1)) | r1_xxreal_0(1,A) | k12_euclid(B) = k5_numbers | k12_euclid(C) = k5_numbers | r1_xxreal_0(k7_xcmplx_0(k18_euclid(C),k12_euclid(C)),k7_xcmplx_0(k18_euclid(B),k12_euclid(B))) | ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ~ ( D = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),B) & E = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k7_jgraph_4(A),C) & r1_xxreal_0(k7_xcmplx_0(k18_euclid(E),k12_euclid(E)),k7_xcmplx_0(k18_euclid(D),k12_euclid(D))) ) ) ) ) ) ) ) ) )).
fof(t24_jgraph_6,axiom,( ! [A] : ( v1_xreal_0(A) => ( k6_jgraph_6(k5_numbers,k5_numbers,A) = a_1_0_jgraph_6(A) & ( ~ r1_xxreal_0(A,k5_numbers) => k5_jgraph_6(k5_numbers,k5_numbers,A) = a_1_1_jgraph_6(A) ) & k8_jgraph_6(k5_numbers,k5_numbers,A) = a_1_2_jgraph_6(A) & k7_jgraph_6(k5_numbers,k5_numbers,A) = a_1_3_jgraph_6(A) & k9_jgraph_6(k5_numbers,k5_numbers,A) = a_1_4_jgraph_6(A) ) ) )).
fof(t24_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k18_euclid(B) = H & k18_euclid(C) = H & k18_euclid(D) = H & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(E,k17_euclid(B)) & r1_xxreal_0(k17_euclid(D),F) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k17_euclid(C),k17_euclid(B)) | r1_xxreal_0(k17_euclid(D),k17_euclid(C)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( ( ~ v8_ordinal1(C) & v1_xreal_0(C) ) => k2_tops_1(k15_euclid(A),k1_topreal9(A,B,C)) = k3_topreal9(A,B,C) ) ) ) )).
fof(t24_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( v3_pre_topc(a_4_0_jordan1(A,B,C,D),k15_euclid(2)) & m1_subset_1(a_4_0_jordan1(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )).
fof(t24_jordan12,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( v2_sppol_1(k1_rltopsp1(k15_euclid(2),A,B)) & v2_sppol_1(k1_rltopsp1(k15_euclid(2),C,D)) ) => ( r2_subset_1(k1_rltopsp1(k15_euclid(2),A,B),k1_rltopsp1(k15_euclid(2),C,D)) | k17_euclid(A) = k17_euclid(C) ) ) ) ) ) ) )).
fof(t24_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_jordan1h(A,E) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k1_jordan13(A,E))) & r2_hidden(k4_tarski(B,C),k2_matrix_0(k1_jordan8(A,E))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan13(A,E),D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),B,C) & r1_xxreal_0(C,1) ) ) ) ) ) ) )).
fof(t24_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r1_xxreal_0(1,D) & r1_xxreal_0(D,E) & r1_xxreal_0(E,k1_matrix_0(k1_jordan8(B,A))) & ~ r1_xxreal_0(A,k5_numbers) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E),k8_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k9_jordan6(k3_topreal1(2,k1_jordan9(B,A)))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,E)),k8_jordan6(B)) ) ) ) ) ) ) )).
fof(t24_jordan16,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),B,C,A) & r2_tarski(D,A) ) => ( B = D | r1_topreal1(k15_euclid(2),B,D,k5_jordan6(A,B,C,B,D)) ) ) ) ) ) ) )).
fof(t24_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan17(A,B,C,D,E) & r1_jordan17(A,B,D,C,E) ) => ( B = D | B = E | C = E | C = D ) ) ) ) ) ) ) )).
fof(t24_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => r1_jordan18(A,B,E,E,C,D) ) ) ) ) ) )).
fof(t24_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,k1_nat_1(A,1))),C) & ~ r1_xxreal_0(D,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,k1_nat_1(A,1))),D) & r1_xxreal_0(1,E) & r1_xxreal_0(E,F) & r1_xxreal_0(F,k1_matrix_0(k1_jordan8(B,k1_nat_1(A,1)))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),C,F),k9_jordan6(k3_topreal1(2,k1_jordan9(B,k1_nat_1(A,1))))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,E),k8_jordan6(k3_topreal1(2,k1_jordan9(B,k1_nat_1(A,1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),C,F))),k9_jordan6(B)) ) ) ) ) ) ) ) )).
fof(t24_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ~ ( r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(B,k1_matrix_0(C)) & v1_xboole_0(k3_goboard5(C,A,B)) ) ) ) ) )).
fof(t24_jordan1b,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(k3_finseq_1(A),B) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(A)) & r1_xxreal_0(1,E) & r1_xxreal_0(E,k1_matrix_0(A)) & r2_tarski(F,k3_goboard5(A,B,C)) & k18_euclid(F) = k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),A,D,E)) & C != E & C != k7_nat_d(E,1) ) ) ) ) ) ) ) )).
fof(t24_jordan1c,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ~ ( v9_rltopsp1(A,k15_euclid(2)) & v1_xboole_0(k2_jordan2c(2,A)) ) ) )).
fof(t24_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & k23_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),k3_finseq_1(k1_jordan8(B,A)),C) ) ) ) )).
fof(t24_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k4_finseq_4(k1_jordan1e(B,A),k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) = k3_finseq_1(k1_jordan1e(B,A)) ) ) )).
fof(t24_jordan1h,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ~ ( r3_connsp_1(k15_euclid(2),k3_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,B)),A) & A != k3_goboard9(B) & A != k2_goboard9(B) ) ) ) )).
fof(t24_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r1_goboard1(u1_struct_0(k15_euclid(2)),A,B) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k24_pscomp_1(k3_topreal1(2,A)) & ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r2_hidden(k4_tarski(k1_nat_1(D,1),E),k2_matrix_0(B)) & r2_hidden(k4_tarski(D,E),k2_matrix_0(B)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,k1_nat_1(D,1),E) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),B,D,E) ) ) ) ) ) ) ) )).
fof(t24_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(k8_pscomp_1(A),k8_pscomp_1(B)) => k8_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)),A,B)) = k8_pscomp_1(B) ) ) ) )).
fof(t24_jordan1k,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => k1_topreal6(2,A,B) = k1_topreal6(2,k4_algstr_0(k15_euclid(2),A),k4_algstr_0(k15_euclid(2),B)) ) ) )).
fof(t24_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => k5_jordan6(A,B,C,B,C) = A ) ) ) ) )).
fof(t24_jordan21,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_jordan21(A) != k18_pscomp_1(A) ) )).
fof(t24_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k18_euclid(k2_jordan21(A)),k18_euclid(k2_jordan21(k9_jordan6(k3_topreal1(2,k1_jordan9(A,B)))))) ) ) ) )).
fof(t24_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => r1_tarski(k4_finseq_1(B),k4_finseq_1(k3_graph_2(A,B))) ) ) )).
fof(t24_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( v1_xreal_0(B) => ( A = a_1_0_jordan2b(B) => v3_pre_topc(A,k3_topmetr) ) ) ) )).
fof(t24_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => r1_xboole_0(k1_jordan2c(A,B),k2_jordan2c(A,B)) ) ) )).
fof(t24_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) => ( k1_funct_1(k3_jordan3(A,B),k3_finseq_1(k3_jordan3(A,B))) = B & ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_jordan3(A,B)) ) => k1_funct_1(k3_jordan3(A,B),C) = k1_funct_1(A,C) ) ) ) ) ) ) )).
fof(t24_jordan4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r3_jordan4(A,B,C,D) => ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k3_finseq_1(A)) & k1_funct_1(B,k3_finseq_1(B)) = k1_funct_1(A,D) & r1_xxreal_0(1,k3_finseq_1(B)) & ~ r1_xxreal_0(k3_finseq_1(A),k3_finseq_1(B)) & ( ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_funct_1(B,E) = k1_funct_1(A,k1_jordan4(k7_nat_d(k2_xcmplx_0(C,E),1),A)) ) ) | ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(1,E) & r1_xxreal_0(E,k3_finseq_1(B)) ) => k1_funct_1(B,E) = k1_funct_1(A,k1_jordan4(k7_nat_d(k2_xcmplx_0(k3_finseq_1(A),C),E),A)) ) ) ) ) ) ) ) ) ) )).
fof(t24_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( A = B => k5_measure6(A) = k2_pre_topc(k3_topmetr,B) ) ) ) )).
fof(t24_jordan5b,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k3_topreal1(2,A)) & r2_tarski(C,k3_topreal1(2,A)) & v4_topreal1(A) ) => r1_tarski(k3_topreal1(2,k4_jordan3(A,B,C)),k3_topreal1(2,A)) ) ) ) ) )).
fof(t24_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( v4_topreal1(A) & r1_xxreal_0(1,B) & r1_xxreal_0(B,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => r1_jordan5c(k3_topreal1(2,A),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,B),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C)) ) ) ) ) )).
fof(t24_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_3_jordan5d(A) => k3_seq_4(B) = k1_pscomp_1(k1_pre_topc(k15_euclid(2),k17_pscomp_1(k3_topreal1(2,A))),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k17_pscomp_1(k3_topreal1(2,A)))) ) ) ) )).
fof(t24_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => k4_jordan6(A,B,C,B) = A ) ) ) ) )).
fof(t24_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_hidden(k4_tarski(A,B),k2_matrix_0(D)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(D)) ) => r1_xxreal_0(k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,B)),k17_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,k3_finseq_1(D),C))) ) ) ) ) ) )).
fof(t24_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(1,C) => ( r1_xxreal_0(D,C) | r1_xxreal_0(k3_finseq_1(B),D) | r1_gobrd10(C,D) | r1_subset_1(k2_jordan_a(A,C,B),k2_jordan_a(A,D,B)) ) ) ) ) ) ) )).
fof(t24_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_lattices(A,C,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( r1_ordinal1(D,E) => r3_lattices(A,k5_knaster(A,B,C,D),k5_knaster(A,B,C,E)) ) ) ) ) ) ) ) )).
fof(t24_kurato_1,axiom,( k2_pre_topc(k3_topmetr,k1_tops_1(k3_topmetr,k6_kurato_1)) = k3_rcomp_1(4,k1_xxreal_0) )).
fof(t24_kurato_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(A))))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( ! [D] : ( v7_ordinal1(D) => k8_nat_1(k9_setfam_1(u1_struct_0(A)),B,D) = C ) => k1_kurato_2(A,B) = C ) ) ) ) )).
fof(t24_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r2_tarski(D,k2_finseq_1(A)) & r2_tarski(E,k2_finseq_1(A)) ) => k5_laplace(D,E,A,B,C) = k5_laplace(E,D,A,B,k4_matrix_0(u1_struct_0(B),C)) ) ) ) ) ) ) )).
fof(t24_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_group_4(A))) => ! [C] : ( m1_group_2(C,A) => ( B = C => ( v15_algstr_0(C) & m1_group_2(C,A) ) ) ) ) ) )).
fof(t24_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( r1_latsum_1(A,B) & v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) & v4_orders_2(A) & v5_orders_2(A) & v4_orders_2(B) & v5_orders_2(B) ) => v5_orders_2(k1_latsum_1(A,B)) ) ) ) )).
fof(t24_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_lattices(A,B,B) ) ) )).
fof(t24_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) => v11_lattices(A) ) ) )).
fof(t24_lattice3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ( r3_lattice3(B,C,A) <=> r4_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B)) ) ) ) )).
fof(t24_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( v20_lattices(B,A) & v21_lattices(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(k6_lattices(A),B) => ! [C] : ( m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) => ( r1_tarski(C,B) => r2_tarski(k2_lattice4(A,C),B) ) ) ) ) ) )).
fof(t24_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v3_ordinal1(B) => r1_tarski(A,k8_lattice5(A,B)) ) ) )).
fof(t24_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v9_lattice6(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => C = k16_lattice3(A,a_3_1_lattice6(A,B,C)) ) ) ) ) )).
fof(t24_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ! [F] : ( m1_lattice5(F,A,B,C) => ( r1_ordinal1(D,E) => r1_relset_1(k2_zfmisc_1(k3_lattice8(A,D),k3_lattice8(A,D)),u1_struct_0(B),k6_lattice8(A,B,C,F,D),k6_lattice8(A,B,C,F,E)) ) ) ) ) ) ) ) )).
fof(t24_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( r2_tarski(C,k1_funct_1(k2_latticea(A),B)) <=> ? [D] : ( ~ v1_xboole_0(D) & v19_lattices(D,A) & v20_lattices(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & D = C & v2_filter_0(D,A) & r2_tarski(B,D) ) ) ) ) )).
fof(t24_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k7_lattices(A,k3_lattices(A,B,C)) = k4_lattices(A,k7_lattices(A,B),k7_lattices(A,C)) ) ) ) )).
fof(t24_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( ( v4_lexbfs(B,A) & m1_lexbfs(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ! [E] : ~ ( r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,C))) & ~ r1_xxreal_0(k1_recdef_1(k5_lexbfs(A,B,C),E),k1_recdef_1(k5_lexbfs(A,B,C),D)) & r2_tarski(D,k1_relset_1(k6_glib_000(A),k5_lexbfs(A,B,k7_nat_d(k39_glib_000(B),k1_recdef_1(k5_lexbfs(A,B,C),E))))) ) ) ) ) )).
fof(t24_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,k5_numbers),k4_fuzzy_4(A,A)) ) ) )).
fof(t24_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_limfunc1(A) & v2_limfunc1(B) ) => v1_limfunc1(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t24_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r5_limfunc2(B,A) | r6_limfunc2(B,A) ) => r5_limfunc2(k56_valued_1(k1_numbers,k1_numbers,B),A) ) ) ) )).
fof(t24_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r2_limfunc3(C,A) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(A,D) & ~ r1_xxreal_0(E,A) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(F,D) & ~ r1_xxreal_0(A,F) & r2_hidden(F,k9_xtuple_0(B)) & ~ r1_xxreal_0(E,G) & ~ r1_xxreal_0(G,A) & r2_hidden(G,k9_xtuple_0(B)) ) ) ) ) ) ) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k9_subset_1(k1_numbers,k9_xtuple_0(B),k4_subset_1(k1_numbers,k2_rcomp_1(k6_xcmplx_0(A,D),A),k2_rcomp_1(A,k2_xcmplx_0(A,D)))),k9_subset_1(k1_numbers,k9_xtuple_0(C),k4_subset_1(k1_numbers,k2_rcomp_1(k6_xcmplx_0(A,D),A),k2_rcomp_1(A,k2_xcmplx_0(A,D))))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k9_subset_1(k1_numbers,k9_xtuple_0(B),k4_subset_1(k1_numbers,k2_rcomp_1(k6_xcmplx_0(A,D),A),k2_rcomp_1(A,k2_xcmplx_0(A,D))))) => r1_xxreal_0(k1_funct_1(C,E),k1_funct_1(B,E)) ) ) ) ) | r2_limfunc3(B,A) ) ) ) ) ) )).
fof(t24_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( r1_lmod_6(A,C,D) => r1_lmod_6(A,k2_vectsp_5(A,B,C,E),k2_vectsp_5(A,B,D,E)) ) ) ) ) ) ) )).
fof(t24_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_lopban_1(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_lopban_1(A,B))) => ( E = k3_rlvect_1(k11_lopban_1(A,B),C,D) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k12_lopban_1(A,B,E,F) = k3_rlvect_1(B,k12_lopban_1(A,B,C,F),k12_lopban_1(A,B,D,F)) ) ) ) ) ) ) ) )).
fof(t24_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v1_lopban_3(B,A) <=> ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(C,k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),E),k1_normsp_0(A,k1_bhsp_4(A,B),D)))) ) ) ) ) ) ) ) )).
fof(t24_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(u1_struct_0(A),k1_lopban_4(A,C),D) = k8_nat_1(u1_struct_0(A),k6_lopban_4(D,A,C,B),D) ) ) ) ) )).
fof(t24_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_filter_0(C,A) & ~ r2_tarski(C,k3_funct_2(u1_struct_0(A),k9_setfam_1(k7_lopclset(A)),k9_lopclset(A),B)) & r2_tarski(B,C) ) ) ) ) )).
fof(t24_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( r1_lpspacc1(A,B,C,D,E) & r1_lpspacc1(A,B,C,E,F) ) => r1_lpspacc1(A,B,C,D,F) ) ) ) ) ) ) ) )).
fof(t24_lpspace1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k6_numbers) & v10_valued_0(D) & v6_supinf_2(D) & v4_measure1(D,B,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k6_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( r2_tarski(E,k9_lpspace1(B,C,D)) => r2_tarski(k26_valued_1(B,k1_numbers,E,A),k9_lpspace1(B,C,D)) ) ) ) ) ) ) )).
fof(t24_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_xreal_0(B) => ( ~ r1_xxreal_0(B,k5_numbers) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,k9_subset_1(A,k1_relset_1(A,C),k1_relset_1(A,D))) => r1_xxreal_0(k1_funct_1(k2_mesfun6c(B,A,k56_valued_1(A,k1_numbers,k3_valued_1(A,k1_numbers,k1_numbers,C,D))),E),k1_funct_1(k26_valued_1(A,k1_numbers,k3_valued_1(A,k1_numbers,k1_numbers,k2_mesfun6c(B,A,k56_valued_1(A,k1_numbers,C)),k2_mesfun6c(B,A,k56_valued_1(A,k1_numbers,D))),k2_power(2,B)),E)) ) ) ) ) ) ) ) )).
fof(t24_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_hilbert1)) => ( ( r3_ltlaxio1(C,A) & r3_ltlaxio1(C,k3_hilbert1(A,B)) ) => r3_ltlaxio1(C,B) ) ) ) ) )).
fof(t24_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(A,A)) ) )).
fof(t24_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => r2_tarski(k4_hilbert1(A,B),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,k4_hilbert1(A,B))) ) ) )).
fof(t24_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( ( ~ v2_ltlaxio3(C) & v3_ltlaxio3(C) & m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [D] : ( m2_subset_1(D,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k9_ltlaxio4(C)) => ( r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(C))) => ( r2_tarski(B,k2_relset_1(k1_hilbert1,k9_ltlaxio3(D))) & ( r2_tarski(A,k2_relset_1(k1_hilbert1,k9_ltlaxio3(D))) | r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k9_ltlaxio3(D))) ) ) ) ) ) ) ) )).
fof(t24_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k8_cqc_lang(A,k6_cqc_lang(A,B),k6_cqc_lang(A,C)),k8_cqc_lang(A,C,B)),k4_cqc_the1(A)) ) ) ) )).
fof(t24_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => k3_mathmorp(A,B,k6_rusub_4(A,C,D)) = k3_mathmorp(A,k3_mathmorp(A,B,D),C) ) ) ) ) )).
fof(t24_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v4_matrix10(B) => v3_matrix10(k2_matrix10(A,B)) ) ) ) )).
fof(t24_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(k1_nat_1(A,2))) => ! [D] : ( m1_matrix_1(D,k9_matrix_1(k1_nat_1(A,2))) => ! [E] : ( m1_matrix_1(E,k9_matrix_1(k1_nat_1(A,2))) => ( r2_funct_2(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),E,k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),k2_finseq_1(k8_matrix_1(k9_matrix_1(k1_nat_1(A,2)))),D,C)) => k2_matrix11(A,B,E) = k8_group_1(B,k2_matrix11(A,B,C),k2_matrix11(A,B,D)) ) ) ) ) ) ) )).
fof(t24_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_matrix_0(E) & m2_finseq_1(E,k3_finseq_2(A)) ) => ! [F] : ( m2_finseq_2(F,k4_ordinal1,k4_finseq_2(D,k4_ordinal1)) => ! [G] : ( m2_finseq_2(G,k4_ordinal1,k4_finseq_2(C,k4_ordinal1)) => ( ( r2_tarski(B,k2_finseq_1(D)) & r1_tarski(k10_xtuple_0(G),k2_finseq_1(k1_matrix_0(E))) ) => k7_matrix_0(A,k1_matrix13(A,E,D,C,F,G),B) = k1_partfun1(k4_ordinal1,k4_ordinal1,k4_ordinal1,A,G,k7_matrix_0(A,E,k1_funct_1(F,B))) ) ) ) ) ) ) ) ) )).
fof(t24_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,C) ) => k1_funct_1(k3_matrix14(A,C,B),B) = k5_struct_0(A) ) ) ) ) )).
fof(t24_matrix15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ( ( k8_matrix13(A,B) = k8_matrix13(A,k7_matrlin(u1_struct_0(A),B,C)) & k3_finseq_1(B) = k3_finseq_1(C) ) => ! [D] : ( ( v1_finset_1(D) & v1_setfam_1(D) & m1_subset_1(D,k1_zfmisc_1(k4_ordinal1)) ) => ( ( r1_tarski(D,k4_finseq_1(B)) & ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,D) => k7_matrix_0(u1_struct_0(A),B,E) = k5_finseq_2(u1_struct_0(A),k1_matrix_0(B),k4_struct_0(A)) ) ) ) => ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,D) => k7_matrix_0(u1_struct_0(A),C,E) = k5_finseq_2(u1_struct_0(A),k1_matrix_0(C),k4_struct_0(A)) ) ) ) ) ) ) ) ) )).
fof(t24_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,u1_struct_0(B),A,A) & m2_finseq_1(F,k3_finseq_2(u1_struct_0(B))) ) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,u1_struct_0(B),A,A) & m2_finseq_1(G,k3_finseq_2(u1_struct_0(B))) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(B),A,A) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(B))) ) => ( ( v3_matrix16(F,u1_struct_0(B)) & v3_matrix16(G,u1_struct_0(B)) & v3_matrix16(H,u1_struct_0(B)) ) => v3_matrix16(k3_matrix_3(B,k3_matrix_3(B,k2_matrix13(A,A,B,F,C),k2_matrix13(A,A,B,G,D)),k2_matrix13(A,A,B,H,E)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).
fof(t24_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,B,A,A) & m2_finseq_1(C,k3_finseq_2(B)) ) => ( k3_finseq_1(C) = A & k1_matrix_0(C) = A & k2_matrix_0(C) = k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(A)) ) ) ) ) )).
fof(t24_matrix_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,C,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ( ( v1_binop_1(D,A) & v2_binop_1(D,A) ) => ! [H] : ( m1_subset_1(H,B) => ! [I] : ( m1_subset_1(I,C) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_setwiseo(B,H),k2_setwiseo(C,I)),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k2_setwiseo(B,H),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,k2_setwiseo(C,I),G))) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) ) => k1_matrix_4(A,k3_matrix_3(A,B,C),D) = k3_matrix_3(A,k1_matrix_4(A,B,D),C) ) ) ) ) ) )).
fof(t24_matrix_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ( ~ r1_xxreal_0(k3_finseq_1(B),k5_numbers) => k6_matrix_3(A,B,k4_struct_0(A)) = k1_matrix_3(A,k3_finseq_1(B),k1_matrix_0(B)) ) ) ) )).
fof(t24_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v2_matrix_6(C,A,B) & v2_matrix_6(D,A,B) ) => v2_matrix_6(k3_matrix_3(B,C,D),A,B) ) ) ) ) ) )).
fof(t24_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,k4_matrix_7(A,k4_finseq_5(u1_struct_0(A),B)))) = k1_group_1(A) ) ) )).
fof(t24_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v2_matrix_8(C,A,B) & v2_matrix_8(D,A,B) & r1_matrix_6(A,B,C,D) & k4_matrix_3(B,C,D) = k2_matrix_1(B,A) ) => ( r1_xxreal_0(A,k5_numbers) | v2_matrix_8(k3_matrix_3(B,C,D),A,B) ) ) ) ) ) ) )).
fof(t24_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),3,3) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ( K = k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A))),k3_finseq_4(u1_struct_0(A),B,C,D),k3_finseq_4(u1_struct_0(A),E,F,G),k3_finseq_4(u1_struct_0(A),H,I,J)) => ! [L] : ( m1_matrix_1(L,k9_matrix_1(3)) => ( L = k3_finseq_4(k4_ordinal1,2,1,3) => k10_matrix_3(3,A,K,L) = k3_finseq_4(u1_struct_0(A),C,E,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => k1_complsp2(k5_matrixc1(A,k1_complsp2(B))) = k5_matrixc1(B,k1_complsp2(A)) ) ) ) )).
fof(t24_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(A)) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,A,k1_wsierp_1(k10_matrixj1(A,k5_matrixj1(A,C,D))),k1_wsierp_1(k11_matrixj1(A,k5_matrixj1(A,C,D)))) & m2_finseq_1(E,k3_finseq_2(A)) ) => ( E = k13_matrixj1(A,B,k5_matrixj1(A,C,D)) <=> ! [F] : ( v7_ordinal1(F) => ( ( r2_tarski(F,k2_finseq_1(k1_matrix_0(C))) => k8_matrix_0(A,E,F) = k8_finseq_1(A,k8_matrix_0(A,C,F),k5_finseq_2(A,k3_finseq_1(D),B)) ) & ( r2_tarski(F,k2_finseq_1(k1_matrix_0(D))) => k8_matrix_0(A,E,k2_xcmplx_0(F,k1_matrix_0(C))) = k8_finseq_1(A,k5_finseq_2(A,k3_finseq_1(C),B),k8_matrix_0(A,D,F)) ) ) ) ) ) ) ) ) ) )).
fof(t24_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v1_matrlin(C,A) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,A) & v9_vectsp_1(D,A) & v10_vectsp_1(D,A) & v11_vectsp_1(D,A) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v1_matrlin(D,A) & l1_vectsp_1(D,A) ) => ! [E] : ( m1_matrlin(E,A,C) => ! [F] : ( m2_finseq_1(F,u1_struct_0(D)) => ! [G] : ( m1_matrixj2(G,A,B) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,u1_struct_0(A),k3_finseq_1(E),k3_finseq_1(F)) & m2_finseq_1(H,k3_finseq_2(u1_struct_0(A))) ) => ( H = k20_matrixj1(u1_struct_0(A),k4_struct_0(A),G) => ! [I] : ( v7_ordinal1(I) => ! [J] : ( v7_ordinal1(J) => ( ( r2_tarski(I,k4_finseq_1(E)) & J = k1_matrixj1(k10_matrixj1(u1_struct_0(A),G),I) ) => ( ( I = k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,J,G))) => k3_funct_2(u1_struct_0(C),u1_struct_0(D),k4_matrlin2(A,C,D,E,F,H),k7_partfun1(u1_struct_0(C),E,I)) = k3_vectsp_1(A,D,B,k7_partfun1(u1_struct_0(D),F,I)) ) & ( I != k1_wsierp_1(k10_matrixj1(u1_struct_0(A),k7_matrixj2(A,B,J,G))) => k3_funct_2(u1_struct_0(C),u1_struct_0(D),k4_matrlin2(A,C,D,E,F,H),k7_partfun1(u1_struct_0(C),E,I)) = k3_rlvect_1(D,k3_vectsp_1(A,D,B,k7_partfun1(u1_struct_0(D),F,I)),k7_partfun1(u1_struct_0(D),F,k1_nat_1(I,1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_matrixr1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => k2_matrix_0(k3_matrix_3(A,B,C)) = k2_matrix_0(B) ) ) ) )).
fof(t24_matrixr2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( m2_finseq_1(B,k1_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => ( r1_xxreal_0(k3_finseq_1(A),k5_numbers) | k9_matrixr1(k8_rvsum_1(A,B)) = k5_matrixr1(k9_matrixr1(A),k9_matrixr1(B)) ) ) ) ) )).
fof(t24_matrlin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,D,C,A) & m2_finseq_1(E,k3_finseq_2(D)) ) => ! [F] : ( ( v1_matrix_0(F) & v2_matrix_0(F,D,B,A) & m2_finseq_1(F,k3_finseq_2(D)) ) => ( k1_matrix_0(E) = k1_matrix_0(F) => k1_matrix_0(k8_matrlin(D,C,B,A,E,F)) = k1_matrix_0(E) ) ) ) ) ) ) ) )).
fof(t24_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( k2_vectsp_5(A,B,C,D) = k1_vectsp_4(A,B) => ! [E] : ( m1_matrlin(E,A,C) => ! [F] : ( m1_matrlin(F,A,D) => ! [G] : ( m1_matrlin(G,A,k1_vectsp_5(A,B,C,D)) => ( G = k7_finseq_1(E,F) => ! [H] : ( m1_subset_1(H,u1_struct_0(k1_vectsp_5(A,B,C,D))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k1_vectsp_5(A,B,C,D))) => ! [J] : ( m1_subset_1(J,u1_struct_0(k1_vectsp_5(A,B,C,D))) => ! [K] : ( m1_subset_1(K,u1_struct_0(C)) => ! [L] : ( m1_subset_1(L,u1_struct_0(D)) => ( ( H = k3_rlvect_1(k1_vectsp_5(A,B,C,D),I,J) & I = K & J = L ) => k9_matrlin(A,k1_vectsp_5(A,B,C,D),G,H) = k8_finseq_1(u1_struct_0(A),k9_matrlin(A,C,E,K),k9_matrlin(A,D,F,L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_xxreal_0(k4_matroid0(A,B),k4_matroid0(A,C)) ) ) ) ) )).
fof(t24_matrprob,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,k5_numbers) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => k5_matrprob(B) = k5_numbers ) ) )).
fof(t24_matrtop1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v3_card_1(C,A) & v1_finseq_1(C) & v3_valued_0(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) & v3_valued_0(D) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => k1_funct_1(k3_matrtop1(A,B,E),k8_rvsum_1(C,D)) = k8_rvsum_1(k1_funct_1(k3_matrtop1(A,B,E),C),k1_funct_1(k3_matrtop1(A,B,E),D)) ) ) ) ) ) )).
fof(t24_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ! [D] : ( ( v1_rlaffin1(D,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k8_matrix13(k2_vectsp_1,C) = A => v1_rlaffin1(k2_ranknull(k15_euclid(A),k15_euclid(B),k3_matrtop1(A,B,C),D),k15_euclid(B)) ) ) ) ) ) )).
fof(t24_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(D))) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(C,D) & r1_xxreal_0(k1_square_1(A),k2_xcmplx_0(k1_square_1(k1_funct_1(E,B)),k1_square_1(k1_funct_1(E,C)))) & ! [F] : ( v1_xreal_0(F) => k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,F,B,C)),E),B) != A ) ) ) ) ) ) ) )).
fof(t24_mazurulm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v1_mazurulm(C,A,B) => r3_nfcont_1(A,B,C,k1_relset_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(t24_mboolean,axiom,( ! [A] : ! [B] : ! [C] : r6_pboole(C,k2_mboolean(C,k7_funcop_1(C,k2_tarski(k1_tarski(A),k1_tarski(B)))),k7_funcop_1(C,k2_tarski(A,B))) )).
fof(t24_mcart_1,axiom,( ! [A] : ! [B] : ~ ( A != k1_xboole_0 & B != k1_xboole_0 & ~ ! [C] : ( m1_subset_1(C,k2_zfmisc_1(A,B)) => ( C != k1_xtuple_0(C) & C != k2_xtuple_0(C) ) ) ) )).
fof(t24_measure1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => m2_subset_1(k5_setfam_1(A,k4_measure1(A,B,C)),k1_zfmisc_1(A),B) ) ) )).
fof(t24_measure6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = k1_numbers => k1_measure6(B,A) = B ) ) ) )).
fof(t24_measure8,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_measure4(A,B)) & v1_prob_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_measure4(A,B)))) ) => ( r2_tarski(k5_setfam_1(A,k4_measure1(A,k1_measure4(A,B),C)),k1_measure4(A,B)) & k12_supinf_2(B,k5_setfam_1(A,k4_measure1(A,k1_measure4(A,B),C))) = k2_mesfunc9(k1_partfun1(k4_ordinal1,k1_measure4(A,B),k9_setfam_1(A),k6_numbers,C,B)) ) ) ) )).
fof(t24_member_1,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( v2_membered(B) => r1_tarski(k6_member_1(k3_xboole_0(A,B)),k3_xboole_0(k6_member_1(A),k6_member_1(B))) ) ) )).
fof(t24_membered,axiom,( ! [A] : ! [B] : ( v6_membered(B) => ( r1_tarski(A,B) => v6_membered(A) ) ) )).
fof(t24_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) ) => ( r2_tarski(k4_struct_0(B),k9_xtuple_0(C)) => k9_xtuple_0(C) = k2_xboole_0(k6_domain_1(u1_struct_0(B),k4_struct_0(B)),k9_xtuple_0(k6_memstr_0(A,B,C))) ) ) ) ) )).
fof(t24_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( ( r2_mesfun6c(A,B,C,D) & r1_xboole_0(E,F) ) => k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,k6_prob_1(A,B,E,F))) = k2_xcmplx_0(k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,E)),k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,F))) ) ) ) ) ) ) ) )).
fof(t24_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ( r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k11_mesfun7c(A,B),C),k5_comseq_3(A,k4_mesfunc5(A,k2_numbers,B,C))) & r2_relset_1(A,k1_numbers,k4_mesfunc5(A,k1_numbers,k12_mesfun7c(A,B),C),k6_comseq_3(A,k4_mesfunc5(A,k2_numbers,B,C))) ) ) ) ) )).
fof(t24_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_mesfunc8(B,A,k2_numbers) <=> v1_mesfunc8(k11_mesfun7c(A,B),A,k1_numbers) ) ) ) )).
fof(t24_mesfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ! [F] : ( m1_subset_1(F,k4_ordinal1) => k8_nat_1(B,C,F) = k9_subset_1(A,E,k14_mesfunc1(A,D,F)) ) => k9_subset_1(A,E,k14_mesfunc1(A,D,k1_supinf_1)) = k2_measure2(A,B,k1_measure3(A,B,C)) ) ) ) ) )).
fof(t24_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => r2_relset_1(A,k6_numbers,k9_mesfunc1(A,B),k3_mesfunc1(A,k1_mesfunc2(A,B),k2_mesfunc2(A,B))) ) ) )).
fof(t24_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v3_mesfunc5(B) & v3_mesfunc5(C) ) => ( k1_relset_1(A,k3_mesfunc1(A,k1_mesfunc2(A,k3_mesfunc1(A,B,C)),k2_mesfunc2(A,B))) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & k1_relset_1(A,k3_mesfunc1(A,k2_mesfunc2(A,k3_mesfunc1(A,B,C)),k1_mesfunc2(A,B))) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & k1_relset_1(A,k3_mesfunc1(A,k3_mesfunc1(A,k1_mesfunc2(A,k3_mesfunc1(A,B,C)),k2_mesfunc2(A,B)),k2_mesfunc2(A,C))) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & k1_relset_1(A,k3_mesfunc1(A,k3_mesfunc1(A,k2_mesfunc2(A,k3_mesfunc1(A,B,C)),k1_mesfunc2(A,B)),k1_mesfunc2(A,C))) = k9_subset_1(A,k1_relset_1(A,B),k1_relset_1(A,C)) & v6_supinf_2(k3_mesfunc1(A,k1_mesfunc2(A,k3_mesfunc1(A,B,C)),k2_mesfunc2(A,B))) & v6_supinf_2(k3_mesfunc1(A,k2_mesfunc2(A,k3_mesfunc1(A,B,C)),k1_mesfunc2(A,B))) ) ) ) ) ) )).
fof(t24_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k3_numbers,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_numbers,B))) ) => ( ! [H] : ( v1_rat_1(H) => k1_funct_1(G,H) = k9_subset_1(A,k8_subset_1(A,E,k10_mesfunc1(C,H)),k8_subset_1(A,E,k10_mesfunc1(D,k6_xcmplx_0(F,H)))) ) => k8_subset_1(A,E,k10_mesfunc1(k3_valued_1(A,k1_numbers,k1_numbers,C,D),F)) = k3_tarski(k2_relset_1(B,G)) ) ) ) ) ) ) ) ) )).
fof(t24_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,D)) => ( r1_mesfunc5(A,B,C,k3_mesfunc2(D,A)) & k7_mesfunc5(A,B,C,k3_mesfunc2(D,A)) = k12_supinf_2(C,D) & k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k3_mesfunc2(D,A),D)) = k12_supinf_2(C,D) ) ) ) ) ) ) )).
fof(t24_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,C,E),D) ) ) => r1_mesfunc1(A,B,k5_mesfunc8(A,C),D) ) ) ) ) ) )).
fof(t24_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ~ ( v2_mesfunc9(B,A) & r2_tarski(E,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C))) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C),E) = k1_supinf_1 & r1_xxreal_0(D,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,D),E) = k2_supinf_1 ) ) ) ) ) )).
fof(t24_metric_1,axiom,( ! [A] : ( m1_subset_1(A,1) => ! [B] : ( m1_subset_1(B,1) => ! [C] : ( m1_subset_1(C,1) => r1_xxreal_0(k1_binop_1(k2_metric_1,A,C),k4_xxreal_0(k1_binop_1(k2_metric_1,A,B),k1_binop_1(k2_metric_1,B,C))) ) ) ) )).
fof(t24_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k2_metric_2(A),k2_metric_2(A))) => ( r2_tarski(C,k4_metric_2(A,B)) <=> ? [D] : ( m1_subset_1(D,k2_metric_2(A)) & ? [E] : ( m1_subset_1(E,k2_metric_2(A)) & C = k1_domain_1(k2_metric_2(A),k2_metric_2(A),D,E) & r4_metric_2(A,D,E,B) ) ) ) ) ) ) )).
fof(t24_metric_3,axiom,( ! [A] : ( m1_subset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k1_numbers,k1_numbers)) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k1_numbers,k1_numbers)) => r1_xxreal_0(k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k18_metric_3,A,C),k3_real_1(k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k18_metric_3,A,B),k2_binop_1(k2_zfmisc_1(k1_numbers,k1_numbers),k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers,k18_metric_3,B,C))) ) ) ) )).
fof(t24_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( r1_metric_6(A,C,B) & m2_valued_0(D,u1_struct_0(A),C) ) => r1_metric_6(A,D,B) ) ) ) ) ) )).
fof(t24_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_cantor_1(B,A) & v1_tops_2(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( v1_metrizts(A) & ! [C] : ( ( v1_cantor_1(C,A) & v1_tops_2(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ~ ( r1_tarski(C,B) & v4_card_3(C) ) ) ) ) ) )).
fof(t24_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( r2_tarski(B,u1_pre_topc(k15_euclid(A))) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ~ ( r2_tarski(C,B) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k1_topreal9(A,C,D),B) ) ) ) ) ) ) ) )).
fof(t24_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( r2_midsp_1(A,B,C) => ( r2_midsp_1(A,D,B) <=> r2_midsp_1(A,D,C) ) ) ) ) ) ) )).
fof(t24_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_midsp_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m2_finseq_2(E,u1_struct_0(B),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(B))) => ! [F] : ( ( v4_midsp_2(F,B) & l1_midsp_2(F,B) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(u1_midsp_2(B,F))) => ! [H] : ( m2_finseq_2(H,u1_struct_0(u1_midsp_2(B,F)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(B,F)))) => ( ( k7_midsp_3(A,B,F,C,H) = E & k10_midsp_2(B,F,C,G) = D & k4_midsp_3(A,B,C,E) = D ) => k10_midsp_3(A,B,F,H) = G ) ) ) ) ) ) ) ) ) )).
fof(t24_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ~ ( B != k1_xboole_0 & C != k1_xboole_0 & k3_mmlquery(A,D,k16_mmlquery(A,B,C)) != k15_mmlquery(A,k3_mmlquery(A,D,B),k3_mmlquery(A,D,C)) ) ) ) ) )).
fof(t24_mod_2,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k18_mod_2)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k18_mod_2)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k18_mod_2)) => ! [D] : ( m1_subset_1(D,k1_enumset1(k5_numbers,1,2)) => ! [E] : ( m1_subset_1(E,k1_enumset1(k5_numbers,1,2)) => ! [F] : ( m1_subset_1(F,k1_enumset1(k5_numbers,1,2)) => ( ( D = A & E = B & F = C ) => ( k1_algstr_0(k18_mod_2,k1_algstr_0(k18_mod_2,A,B),C) = k11_mod_2(k11_mod_2(D,E),F) & k1_algstr_0(k18_mod_2,A,k1_algstr_0(k18_mod_2,B,C)) = k11_mod_2(D,k11_mod_2(E,F)) & k6_algstr_0(k18_mod_2,k6_algstr_0(k18_mod_2,A,B),C) = k12_mod_2(k12_mod_2(D,E),F) & k6_algstr_0(k18_mod_2,A,k6_algstr_0(k18_mod_2,B,C)) = k12_mod_2(D,k12_mod_2(E,F)) ) ) ) ) ) ) ) ) )).
fof(t24_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( v2_mod_4(C,A,B) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_struct_0(A)) = k4_struct_0(B) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_algstr_0(A,D)) = k4_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) & k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_algstr_0(A,D,E)) = k5_algstr_0(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(t24_modal_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_1(B,A) => ! [C] : ( m1_trees_1(C,A) => ( ( B = k14_trees_3(k5_numbers) & C = k14_trees_3(1) & k1_trees_2(A,k1_modal_1(A)) = k7_domain_1(A,B,C) ) => A = k5_trees_1(k5_trees_1(k2_trees_1(2),k14_trees_3(k5_numbers),k4_trees_1(A,B)),k14_trees_3(1),k4_trees_1(A,C)) ) ) ) ) )).
fof(t24_modelc_1,axiom,( ! [A] : ( ( v1_modelc_1(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_1(B) & m2_finseq_1(B,k4_ordinal1) ) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_partfun1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,C))) ) => ! [E] : ( m1_subset_1(E,C) => ! [F] : ( ( ~ v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(k30_modelc_1(C))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k18_modelc_1,u3_modelc_1(k48_modelc_1(C,D,F))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k18_modelc_1,u3_modelc_1(k48_modelc_1(C,D,F))))) ) => ( r4_modelc_1(C,D,F,G,E,k11_modelc_1(A,B)) <=> ? [H] : ( m1_modelc_1(H,C,D) & k3_funct_2(k4_ordinal1,C,H,k5_numbers) = E & ? [I] : ( m1_subset_1(I,k4_ordinal1) & ! [J] : ( m1_subset_1(J,k4_ordinal1) => ( ~ r1_xxreal_0(I,J) => r4_modelc_1(C,D,F,G,k3_funct_2(k4_ordinal1,C,H,J),A) ) ) & r4_modelc_1(C,D,F,G,k3_funct_2(k4_ordinal1,C,H,I),B) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( v7_modelc_2(A) => ( r1_modelc_2(B,A) <=> ( B = k11_modelc_2(A) | B = k12_modelc_2(A) ) ) ) ) ) )).
fof(t24_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ? [C] : ( v7_ordinal1(C) & ? [D] : ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & ? [E] : ( v1_modelc_3(E,A) & l1_modelc_3(E,A) & r1_xxreal_0(1,C) & k3_finseq_1(D) = C & k1_funct_1(D,1) = B & k1_funct_1(D,C) = E & u2_modelc_3(A,E) = k7_modelc_3(A) & r5_modelc_3(A,D) ) ) ) ) ) )).
fof(t24_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ( ~ v1_moebius1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => r1_xxreal_0(k11_nat_3(A,B),1) ) ) ) )).
fof(t24_moebius2,axiom,( k1_seq_2(k1_moebius2) = k5_numbers )).
fof(t24_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m2_monoid_0(B,A) ) => u2_algstr_0(B) = k1_realset1(u2_algstr_0(A),u1_struct_0(B)) ) ) )).
fof(t24_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m2_monoid_0(C,B) ) => m2_monoid_0(k9_monoid_1(C,A),k9_monoid_1(B,A)) ) ) )).
fof(t24_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ( k1_morph_01(A,k5_rusub_4(A,C,B),D) = k1_morph_01(A,C,k5_rusub_4(A,D,B)) & k1_morph_01(A,k5_rusub_4(A,C,B),D) = k5_rusub_4(A,k1_morph_01(A,C,D),B) ) ) ) ) ) )).
fof(t24_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => r8_pboole(u1_struct_0(A),u3_msualg_1(A,k1_msafree3(A,B)),k5_msafree3(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),B)) ) ) )).
fof(t24_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ( g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)) = g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C)) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ( r8_pboole(u1_struct_0(A),D,E) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( r1_msualg_2(A,B,F,D) => r1_msualg_2(A,C,F,E) ) ) ) ) ) ) ) ) ) )).
fof(t24_msafree5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,k3_card_3(u3_msualg_1(A,k1_msafree3(A,B)))) => ! [D] : ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( C = D => k3_msafree5(A,k1_msafree3(A,B),C) = k7_msaterm(A,B,D) ) ) ) ) ) )).
fof(t24_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ~ ( ( k3_finseq_1(D) = k3_finseq_1(k1_msualg_1(A,C)) | k4_finseq_1(D) = k4_finseq_1(k1_msualg_1(A,C)) ) & ( ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( F = k1_funct_1(D,E) & k7_msaterm(A,B,F) = k1_funct_1(k1_msualg_1(A,C),E) ) ) ) ) | ! [E] : ( v7_ordinal1(E) => ~ ( r2_tarski(E,k4_finseq_1(D)) & ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( F = k1_funct_1(D,E) & k7_msaterm(A,B,F) = k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),E) ) ) ) ) ) & ~ m1_msaterm(D,A,B,k2_msaterm(A,B,C)) ) ) ) ) ) )).
fof(t24_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ( k3_funct_2(u4_struct_0(A),k3_finseq_2(u1_struct_0(A)),u1_msualg_1(A),C) = k1_xboole_0 => k9_xtuple_0(k5_msualg_1(A,C,B)) = k1_tarski(k1_xboole_0) ) ) ) ) )).
fof(t24_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_funcop_1(B) ) => ( v2_finset_1(k1_funct_6(B)) => v2_finset_1(k2_funct_6(B)) ) ) )).
fof(t24_mssublat,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ( k12_msualg_1(A,B) = k12_msualg_1(A,C) => g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)) = g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C)) ) ) ) ) )).
fof(t24_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),E,k2_pboole(u1_struct_0(A),D,u3_msualg_1(A,C))) => k13_msualg_2(A,B,k12_msualg_2(A,B,D),C) = k12_msualg_2(A,B,E) ) ) ) ) ) ) )).
fof(t24_msualg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m2_pboole(E,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [F] : ( m1_subset_1(F,k3_msualg_1(A,D,B)) => ! [G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H] : ( ( v1_relat_1(H) & v1_funct_1(H) ) => ( ( F = G & r2_tarski(F,k3_msualg_1(A,D,B)) & r2_tarski(H,k3_msualg_1(A,D,C)) ) => ( H = k5_msualg_3(A,B,C,D,E,F) <=> ! [I] : ( v7_ordinal1(I) => ( r2_tarski(I,k9_xtuple_0(G)) => k1_funct_1(H,I) = k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),E,k7_partfun1(u1_struct_0(A),k1_msualg_1(A,D),I)),k1_funct_1(G,I)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_6(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) ) => ~ ( r1_msualg_6(A,D,E,B,F) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),E)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),E)))) ) => ~ ( r1_msualg_6(A,D,E,B,G) & k1_partfun1(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,B),E),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,D),G) = k3_relat_1(F,k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C,E)) ) ) ) ) ) ) ) ) ) )).
fof(t24_msualg_7,axiom,( ? [A] : ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & ? [B] : ( m2_nat_lat(B,A) & v1_msualg_7(B,A) & ~ v2_msualg_7(B,A) ) ) )).
fof(t24_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k7_msafree2(A))) => ! [D] : ( m1_subset_1(D,u4_struct_0(A)) => ! [E] : ( m1_subset_1(E,k3_msualg_1(A,D,B)) => ( k1_funct_1(k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k7_msafree2(A)),C,k2_msualg_1(A,D)),k3_funct_2(k3_msualg_1(A,D,B),k4_msualg_1(A,D,B),k5_msualg_1(A,D,B),E)) = k5_numbers & k3_funct_2(k3_msualg_1(A,D,k7_msafree2(A)),k4_msualg_1(A,D,k7_msafree2(A)),k5_msualg_1(A,D,k7_msafree2(A)),k5_msualg_3(A,B,k7_msafree2(A),D,C,E)) = k5_numbers ) ) ) ) ) ) )).
fof(t24_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_unialg_1(B) & v3_unialg_1(B) & v4_unialg_1(B) & l1_unialg_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_unialg_2(A,B) & r4_msualg_3(k6_msualg_1(A),k9_msualg_1(A),k1_msuhom_1(k6_msualg_1(A),k6_msualg_1(B),k9_msualg_1(B)),k2_msuhom_1(A,B,C)) ) => r4_alg_1(A,B,C) ) ) ) ) )).
fof(t24_mycielsk,axiom,( ! [A] : ( ( v1_necklace(A) & v4_dilworth(A) & l1_orders_2(A) ) => k2_dilworth(A) = k1_dilworth(k3_necklace(A)) ) )).
fof(t24_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(A),k1_numbers)),k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(A),k1_numbers)),k9_funct_2(u1_struct_0(A),k1_numbers)))) ) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k1_binop_1(B,C,D) = k3_nagata_1(A,C,D) ) ) => ! [C] : ( m2_funct_2(C,u1_struct_0(A),k1_numbers,k9_funct_2(u1_struct_0(A),k1_numbers)) => ( r3_binop_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,B) => v1_pscomp_1(C,A) ) ) ) ) ) )).
fof(t24_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( C = k3_xcmplx_0(B,A) => ( A = k5_numbers | r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t24_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(C,B) => r1_xxreal_0(k3_nat_d(C,A),k3_nat_d(B,A)) ) ) ) ) )).
fof(t24_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( A != 1 & A != B & k11_nat_3(B,A) != k5_numbers ) ) ) )).
fof(t24_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( ( k6_xcmplx_0(A,1) = k2_nat_1(B,C) & ! [D] : ( m1_subset_1(D,k4_ordinal1) => ~ ( r1_nat_d(D,B) & v1_int_2(D) & ! [E] : ( m1_subset_1(E,k4_ordinal1) => ~ ( k4_nat_d(k11_newton(E,k7_nat_d(A,1)),A) = 1 & k6_nat_d(k7_nat_d(k11_newton(E,k3_nat_d(k7_nat_d(A,1),D)),1),A) = 1 ) ) ) ) ) => ( r1_xxreal_0(B,C) | r1_xxreal_0(C,k5_numbers) | v1_int_2(A) ) ) ) ) ) )).
fof(t24_nat_5,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k4_ordinal1) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(k4_ordinal1)) ) => ( r1_funct_2(k4_ordinal1,k4_ordinal1,k4_ordinal1,k1_numbers,A,B) => ( ! [D] : ( v7_ordinal1(D) => ~ r1_tarski(C,k2_finseq_1(D)) ) | k2_uproots(C,k1_nat_5(k4_ordinal1,A,C)) = k18_rvsum_1(k4_bhsp_5(k1_numbers,k4_ordinal1,B,k14_finseq_1(C))) ) ) ) ) ) )).
fof(t24_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v1_int_1(B) => ~ ( k1_nat_6(A,B) != 1 & k1_nat_6(A,B) != k5_numbers & k1_nat_6(A,B) != k4_xcmplx_0(1) ) ) ) )).
fof(t24_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,A) => k2_nat_d(A,B) = A ) ) ) )).
fof(t24_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r2_nattra_1(A,B,C,D) => ! [E] : ( m2_nattra_1(E,A,B,C,D) => ( r2_funct_2(u1_struct_0(A),u4_struct_0(B),k5_nattra_1(A,B,C,D,D,E,k4_nattra_1(A,B,D)),E) & r2_funct_2(u1_struct_0(A),u4_struct_0(B),k5_nattra_1(A,B,C,C,D,k4_nattra_1(A,B,C),E),E) ) ) ) ) ) ) ) )).
fof(t24_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( r1_tarski(k2_relset_1(u1_struct_0(A),E),k9_subset_1(u1_struct_0(A),k1_relset_1(u1_struct_0(A),C),k1_relset_1(u1_struct_0(A),D))) => ( r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k6_vfunct_1(u1_struct_0(A),B,C,D)),k1_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k2_vfunct_1(u1_struct_0(A),B,C,D)),k2_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) ) ) ) ) ) ) ) )).
fof(t24_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k2_numbers))) ) => ( r6_ncfcont2(A,B,C) => r12_ncfcont1(B,C,A) ) ) ) )).
fof(t24_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v2_ndiff_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & v1_ndiff_1(D,A,k4_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( v12_struct_0(D,k4_ordinal1,A) => ( v3_normsp_1(k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C),B) & k5_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),D,C)) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(t24_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( r2_ndiff_3(A,D,B) & r1_tarski(C,B) ) => r2_ndiff_3(A,D,C) ) ) ) ) )).
fof(t24_ndiff_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(B))))) ) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,B) & r1_ndiff_3(k4_real_ns1(B),C,D) ) => ( r1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(A,B)),D) & k3_funct_2(u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),k4_pdiff_1(A,B),k1_ndiff_3(k4_real_ns1(B),C,D)) = k1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(B)),u1_struct_0(k4_real_ns1(1)),C,k4_pdiff_1(A,B)),D) ) ) ) ) ) ) )).
fof(t24_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) => ( v3_nfcont_1(E,k14_prvect_2(A)) => ( r2_ndiff_5(A,B,C,D,E) <=> ( r1_tarski(E,k1_relset_1(u1_struct_0(k14_prvect_2(A)),D)) & ! [F] : ( m1_subset_1(F,u1_struct_0(k14_prvect_2(A))) => ( r2_tarski(F,E) => r1_ndiff_5(A,B,C,D,F) ) ) ) ) ) ) ) ) ) )).
fof(t24_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,F,C,D) ) => ! [G] : ( v7_ordinal1(G) => ( r1_xxreal_0(G,D) => r2_relset_1(u1_struct_0(A),u1_struct_0(k3_ndiff_6(A,B,G)),k6_ndiff_6(A,B,k4_vfunct_1(u1_struct_0(A),B,F,E),C,G),k4_vfunct_1(u1_struct_0(A),k3_ndiff_6(A,B,G),k6_ndiff_6(A,B,F,C,G),E)) ) ) ) ) ) ) ) ) ) )).
fof(t24_ndiff_7,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) => ( ( v3_nfcont_1(F,k14_prvect_2(A)) & r2_tarski(C,k4_finseq_1(A)) & r2_ndiff_5(A,B,C,D,F) & r2_ndiff_5(A,B,C,E,F) ) => ( r2_ndiff_5(A,B,C,k2_vfunct_1(u1_struct_0(k14_prvect_2(A)),B,D,E),F) & r2_relset_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B)),k6_ndiff_5(A,B,C,k2_vfunct_1(u1_struct_0(k14_prvect_2(A)),B,D,E),F),k2_vfunct_1(u1_struct_0(k14_prvect_2(A)),k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B),k6_ndiff_5(A,B,C,D,F),k6_ndiff_5(A,B,C,E,F))) ) ) ) ) ) ) ) )).
fof(t24_neckla_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_necklace(A) & l1_orders_2(A) ) => ( r2_necklace(k4_necklace(4),A) <=> r2_necklace(k4_necklace(4),k3_necklace(A)) ) ) )).
fof(t24_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_hidden(k4_tarski(B,C),u1_orders_2(k4_necklace(A))) & B != k1_nat_1(C,1) & C != k1_nat_1(B,1) ) ) ) ) )).
fof(t24_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ! [C] : ( r1_tarski(C,k2_net_1(A)) => ( r2_tarski(B,k13_net_1(A,C)) <=> ? [D] : ( m1_subset_1(D,k2_net_1(A)) & r2_tarski(D,C) & r2_tarski(B,k6_net_1(A,D)) ) ) ) ) )).
fof(t24_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,A) & B = k6_xcmplx_0(A,1) ) => k3_newton(B,A) = A ) ) ) )).
fof(t24_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => k2_xcmplx_0(k1_newton(B,k2_xcmplx_0(k3_xcmplx_0(2,A),3)),k1_newton(C,k2_xcmplx_0(k3_xcmplx_0(2,A),3))) = k6_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_newton(B,k2_xcmplx_0(k3_xcmplx_0(2,A),2)),k1_newton(C,k2_xcmplx_0(k3_xcmplx_0(2,A),2))),k2_xcmplx_0(B,C)),k3_xcmplx_0(k3_xcmplx_0(B,C),k2_xcmplx_0(k1_newton(B,k2_xcmplx_0(k3_xcmplx_0(2,A),1)),k1_newton(C,k2_xcmplx_0(k3_xcmplx_0(2,A),1))))) ) ) ) )).
fof(t24_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k1_relset_1(u1_struct_0(A),C)) => r3_nfcont_1(A,B,C,k1_tarski(D)) ) ) ) ) ) )).
fof(t24_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ( ( v1_rcomp_1(k1_relset_1(k1_numbers,B)) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),B,k1_relset_1(k1_numbers,B)),A) ) => v1_nfcont_1(k2_relset_1(u1_struct_0(A),B),A) ) ) ) )).
fof(t24_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( r1_tarski(B,k1_relset_1(k1_numbers,C)) => ( v1_nfcont_4(k2_partfun1(k1_numbers,k1_euclid(A),C,B),A) <=> ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( r2_hidden(D,B) & ~ r1_xxreal_0(E,k5_numbers) & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & ! [G] : ( v1_xreal_0(G) => ~ ( r2_hidden(G,B) & ~ r1_xxreal_0(F,k9_complex1(k6_xcmplx_0(G,D))) & r1_xxreal_0(E,k12_euclid(k8_euclid(A,k7_partfun1(k1_euclid(A),C,G),k7_partfun1(k1_euclid(A),C,D)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_normform,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ! [C] : ( m1_subset_1(C,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A))) => ( ( r2_tarski(C,k7_normform(A)) & r2_tarski(B,k7_normform(A)) ) => ( r2_tarski(k1_normform(k5_finsub_1(A),k5_finsub_1(A),C,B),k7_normform(A)) <=> k5_setwiseo(A,k3_finsub_1(k5_finsub_1(A),k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),C),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),B)),k3_finsub_1(k5_finsub_1(A),k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),B),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),C))) = k1_xboole_0 ) ) ) ) )).
fof(t24_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_normsp_1(C,A) & k5_normsp_1(A,C) = B ) => ( v2_comseq_2(k5_normsp_0(A,k3_normsp_1(A,C,B))) & k1_seq_2(k5_normsp_0(A,k3_normsp_1(A,C,B))) = k5_numbers ) ) ) ) ) )).
fof(t24_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_normsp_2(A)))) => ( D = a_3_3_normsp_2(A,B,C) => v4_pre_topc(D,k3_normsp_2(A)) ) ) ) ) ) )).
fof(t24_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v2_nfcont_1(k6_domain_1(u1_struct_0(A),B),A) ) ) )).
fof(t24_numbers,axiom,( k4_numbers != k3_numbers )).
fof(t24_numeral2,axiom,( v1_int_2(31) )).
fof(t24_numpoly1,axiom,( ! [A] : ( v1_numpoly1(A) => ~ r2_int_1(A,2,10) ) )).
fof(t24_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v7_o_ring_1(B,A) & v13_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t24_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => u1_struct_0(k15_openlatt(A)) = k9_openlatt(A) ) )).
fof(t24_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_cat_1(D,A,B,C) => ( v9_cat_1(k7_oppcat_1(A,B,C,D),k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B)) <=> v9_cat_1(D,A,B,C) ) ) ) ) ) )).
fof(t24_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_ordeq_01(A,B))) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( D = C => ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,A) => r1_xxreal_0(k2_normsp_0(B,k7_partfun1(u1_struct_0(B),D,E)),k2_normsp_0(k5_ordeq_01(A,B),C)) ) ) ) ) ) ) ) )).
fof(t24_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(B,C) & ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k10_funct_2(u1_struct_0(A),u1_struct_0(A),F,H),k10_funct_2(u1_struct_0(A),u1_struct_0(A),F,I))),k3_xcmplx_0(D,k2_normsp_0(A,k5_algstr_0(A,H,I)))) ) ) ) => ( r1_xxreal_0(D,k5_numbers) | ! [H] : ( m1_subset_1(H,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A))) => r1_xxreal_0(k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(G,1)),H),k3_funct_2(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,E,F,B,C),k1_nat_1(G,1)),I))),k3_xcmplx_0(k7_xcmplx_0(k1_newton(k3_xcmplx_0(D,k6_xcmplx_0(C,B)),k1_nat_1(G,1)),k2_newton(k1_nat_1(G,1))),k2_normsp_0(k5_ordeq_01(k3_integra5(B,C),A),k5_algstr_0(k5_ordeq_01(k3_integra5(B,C),A),H,I)))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_orders_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( v6_relat_2(B) => v3_orders_1(B) ) ) )).
fof(t24_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k3_orders_2(A,D,C)) <=> ( r2_orders_2(A,B,C) & r2_tarski(B,D) ) ) ) ) ) ) )).
fof(t24_ordinal1,axiom,( ! [A] : ~ ( ! [B] : ( r2_hidden(B,A) => v3_ordinal1(B) ) & ! [B] : ( v3_ordinal1(B) => ~ r1_tarski(A,B) ) ) )).
fof(t24_ordinal2,axiom,( ! [A] : r1_ordinal1(k2_ordinal2(A),k3_ordinal2(A)) )).
fof(t24_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r1_ordinal1(A,k10_ordinal2(A,B)) & r1_ordinal1(B,k10_ordinal2(A,B)) ) ) ) )).
fof(t24_ordinal4,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( ( r2_tarski(1,C) & r2_tarski(A,B) ) => r2_tarski(k12_ordinal2(C,A),k12_ordinal2(C,B)) ) ) ) ) )).
fof(t24_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(1,A) => ( r1_xxreal_0(C,B) | r2_tarski(k1_ordinal5(A,B),k1_ordinal5(A,C)) ) ) ) ) ) )).
fof(t24_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) => ! [B] : ( v1_ordinal6(B) => ( ! [C] : ! [D] : ( ( r2_tarski(C,A) & r2_tarski(D,B) ) => r2_tarski(C,D) ) => r3_wellord1(k1_wellord2(k10_ordinal2(k1_ordinal6(A),k1_ordinal6(B))),k1_wellord2(k2_xboole_0(A,B)),k1_ordinal4(k2_ordinal6(A),k2_ordinal6(B))) ) ) ) )).
fof(t24_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,C,D) & ~ r1_orders_2(B,E,D) & k1_ortsp_1(A,B,E,D,C) != k8_group_1(A,k9_algstr_0(A,k1_ortsp_1(A,B,D,C,E)),k1_ortsp_1(A,B,C,D,E)) ) ) ) ) ) ) )).
fof(t24_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k2_osalg_4(A)) => ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),k5_osalg_4(A,k8_osafree(A,B),k20_osafree(A,B),C)) <=> ? [F] : ( m1_subset_1(F,u1_struct_0(A)) & r2_tarski(F,C) & r2_hidden(k4_tarski(D,F),k1_funct_1(k19_osafree(A,B),E)) ) ) ) ) ) )).
fof(t24_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v12_osalg_1(D,A) & l3_msualg_1(D,A) ) => ( r3_orders_2(A,k2_msualg_1(A,B),k2_msualg_1(A,C)) => r1_tarski(k4_msualg_1(A,B,D),k4_msualg_1(A,C,D)) ) ) ) ) ) )).
fof(t24_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => r2_pboole(u1_struct_0(A),k2_pboole(u1_struct_0(A),k3_osalg_2(A,B),C),k9_osalg_2(A,B,C)) ) ) ) )).
fof(t24_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & v13_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) ) => v3_osalg_4(k19_osalg_4(A,B,C,D),A,B) ) ) ) ) ) )).
fof(t24_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_parsp_1(A,B,C,B,D) => ( r1_parsp_1(A,B,D,B,C) & r1_parsp_1(A,C,B,B,D) & r1_parsp_1(A,B,C,D,B) & r1_parsp_1(A,B,D,C,B) & r1_parsp_1(A,C,B,D,B) & r1_parsp_1(A,D,B,B,C) & r1_parsp_1(A,D,B,C,B) & r1_parsp_1(A,C,B,C,D) & r1_parsp_1(A,B,C,C,D) & r1_parsp_1(A,C,B,D,C) & r1_parsp_1(A,C,D,C,B) & r1_parsp_1(A,B,C,D,C) & r1_parsp_1(A,D,C,C,B) & r1_parsp_1(A,C,D,B,C) & r1_parsp_1(A,D,C,B,C) & r1_parsp_1(A,D,B,D,C) & r1_parsp_1(A,B,D,D,C) & r1_parsp_1(A,D,B,C,D) & r1_parsp_1(A,B,D,C,D) & r1_parsp_1(A,D,C,D,B) & r1_parsp_1(A,C,D,D,B) & r1_parsp_1(A,D,C,B,D) & r1_parsp_1(A,C,D,B,D) ) ) ) ) ) ) )).
fof(t24_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_parsp_2(A,B,C,D) & r1_parsp_2(A,B,C,E) ) => ( B = C | r1_parsp_2(A,B,D,E) ) ) ) ) ) ) ) )).
fof(t24_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( r2_hidden(A,k1_relset_1(B,k3_partfun1(D,B,C))) <=> ( r2_hidden(A,k9_xtuple_0(D)) & r2_hidden(A,B) & r2_tarski(k1_funct_1(D,A),C) ) ) ) )).
fof(t24_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( r2_tarski(C,k1_relset_1(A,D)) => k9_relat_1(D,C) = k1_tarski(k7_partfun1(B,D,C)) ) ) ) ) ) )).
fof(t24_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => k4_partit1(A,k2_partit1(A,B,C)) = k4_eqrel_1(A,k4_partit1(A,B),k4_partit1(A,C)) ) ) ) )).
fof(t24_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) => ( v4_relat_2(C) => r4_relat_2(C,A) ) ) ) ) )).
fof(t24_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => v6_pasch(A) ) )).
fof(t24_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => r2_pboole(A,k3_pboole(A,B,C),k2_pboole(A,B,D)) ) ) ) )).
fof(t24_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v8_pre_topc(A) & v2_pcomps_1(A) ) => v9_pre_topc(A) ) ) )).
fof(t24_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k20_pcs_0(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k20_pcs_0(A,B))) => ( ( C = D & r1_orders_2(k20_pcs_0(A,B),D,E) ) => ( C = B | r2_tarski(B,u1_struct_0(A)) | ( r2_tarski(E,u1_struct_0(A)) & E != B ) ) ) ) ) ) ) )).
fof(t24_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(k4_real_ns1(A))) => ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ( ( E = F & G = H & r5_pdiff_1(A,B,C,D,E,G) ) => k1_funct_1(k12_pdiff_1(A,B,C,D,E,G),k12_finseq_1(k4_ordinal1,1)) = k9_finseq_1(k13_pdiff_1(A,B,C,D,F,H)) ) ) ) ) ) ) ) ) ) )).
fof(t24_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( r4_pdiff_3(B,A) & r4_pdiff_3(C,A) ) => ( r3_pdiff_1(2,2,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(2,2,B),k1_pdiff_3(2,2,C)),A) & k10_pdiff_1(2,2,k3_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(2,2,B),k1_pdiff_3(2,2,C)),A) = k2_xcmplx_0(k5_pdiff_3(B,A),k5_pdiff_3(C,A)) ) ) ) ) ) )).
fof(t24_pdiff_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r3_pdiff_4(B,A) => ( r1_tarski(A,k1_relset_1(k1_euclid(3),B)) & ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(3)) => ( r2_tarski(C,A) => r3_pdiff_1(3,3,B,C) ) ) ) ) ) )).
fof(t24_pdiff_5,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r6_pdiff_5(B,A) <=> r3_pdiff_1(3,3,k1_pdiff_3(2,3,B),A) ) ) ) )).
fof(t24_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_euclid(A),k1_euclid(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_euclid(A),k1_euclid(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( ( v1_funct_1(E) & v1_funct_2(E,k1_euclid(A),k1_euclid(B)) & v1_pdiff_6(E,B,A) & v2_pdiff_6(E,B,A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ( ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(G,k5_numbers) & r1_tarski(a_3_2_pdiff_6(A,D,G),k1_relset_1(k1_euclid(A),C)) & ! [H] : ( v1_xreal_0(H) => ~ ( ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v1_xreal_0(I) => ~ ( ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( m2_finseq_2(J,k1_numbers,k1_euclid(A)) => ! [K] : ( m2_finseq_2(K,k1_numbers,k1_euclid(B)) => ~ ( J != k5_euclid(A) & ~ r1_xxreal_0(I,k12_euclid(J)) & K = k3_funct_2(k1_euclid(A),k1_euclid(B),F,J) & r1_xxreal_0(H,k3_xcmplx_0(k5_xcmplx_0(k12_euclid(J)),k12_euclid(K))) ) ) ) ) ) ) ) & ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ( ~ r1_xxreal_0(G,k12_euclid(k8_euclid(A,H,D))) => k8_euclid(B,k7_partfun1(k1_euclid(B),C,H),k7_partfun1(k1_euclid(B),C,D)) = k7_euclid(B,k3_funct_2(k1_euclid(A),k1_euclid(B),E,k8_euclid(A,H,D)),k3_funct_2(k1_euclid(A),k1_euclid(B),F,k8_euclid(A,H,D))) ) ) ) ) | ( r1_pdiff_1(A,B,C,D) & r2_funct_2(k1_euclid(A),k1_euclid(B),k8_pdiff_1(A,B,C,D),E) ) ) ) ) ) ) ) ) ) )).
fof(t24_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_1(B,k1_euclid(A)) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ! [D] : ( m2_finseq_1(D,k1_euclid(A)) => ( ( k4_finseq_1(B) = k4_finseq_1(C) & r2_relset_1(k4_ordinal1,k1_euclid(A),D,k7_integr15(A,k4_ordinal1,B,C)) ) => k5_euclid_7(A,D) = k7_euclid(A,k5_euclid_7(A,B),k5_euclid_7(A,C)) ) ) ) ) ) )).
fof(t24_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_euclid(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ( ( E = F & v1_pdiff_7(E,A) & C = D ) => ( ! [G] : ( v7_ordinal1(G) => ( ( r1_xxreal_0(1,G) & r1_xxreal_0(G,A) ) => ( r2_pdiff_7(A,B,G,C,E) & r4_pdiff_7(A,B,k2_pdiff_7(A,B,G,C,E),E) ) ) ) <=> ( r2_ndiff_1(F,k4_real_ns1(A),k4_real_ns1(B),D) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),D,F),F) ) ) ) ) ) ) ) ) ) )).
fof(t24_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( m1_subset_1(C,u1_pre_topc(k5_pencil_1(A,B))) <=> ? [D] : ( ~ v13_pencil_1(D) & v16_pencil_1(D,A) & m3_pboole(D,A,k12_pralg_1(A,B)) & C = k4_card_3(D) & m1_subset_1(k1_funct_1(D,k3_pencil_1(A,D)),u1_pre_topc(k2_pencil_1(A,B,k3_pencil_1(A,D)))) ) ) ) ) )).
fof(t24_pencil_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( m1_pencil_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(D,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => m1_pencil_2(k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),D,C),A,B) ) ) ) ) ) )).
fof(t24_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ! [D] : ( m1_pencil_2(D,A,B) => ! [E] : ( m1_pencil_2(E,A,B) => ! [F] : ( ( ~ v13_pencil_1(F) & v16_pencil_1(F,A) & m3_pboole(F,A,k12_pralg_1(A,B)) ) => ! [G] : ( ( ~ v13_pencil_1(G) & v16_pencil_1(G,A) & m3_pboole(G,A,k12_pralg_1(A,B)) ) => ! [H] : ( ( ~ v13_pencil_1(H) & v16_pencil_1(H,A) & m3_pboole(H,A,k12_pralg_1(A,B)) ) => ! [I] : ( ( ~ v13_pencil_1(I) & v16_pencil_1(I,A) & m3_pboole(I,A,k12_pralg_1(A,B)) ) => ( ( D = k4_card_3(F) & E = k4_card_3(G) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,D) = k4_card_3(H) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,E) = k4_card_3(I) & k3_pencil_1(A,F) = k3_pencil_1(A,G) ) => k3_pencil_1(A,H) = k3_pencil_1(A,I) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,k1_vectsp_9(A,B)) & r1_tarski(k2_vectsp_9(A,B,D),k2_vectsp_9(A,C,D)) ) => k2_vectsp_4(A,B) = k2_vectsp_4(A,C) ) ) ) ) ) )).
fof(t24_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => k1_newton(A,2) = k1_square_1(A) ) )).
fof(t24_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m3_pnproc_1(C,A,B) => k3_relat_1(k6_partfun1(k9_funct_2(A,k4_ordinal1)),k7_pnproc_1(A,C)) = k7_pnproc_1(A,C) ) ) )).
fof(t24_polyalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => k1_group_1(k1_polyalg1(A)) = k10_polynom3(A) ) )).
fof(t24_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ~ ( B != k5_numbers & k2_polyeq_1(B,C,k5_numbers,A) = k5_numbers & A != k4_xcmplx_0(k7_xcmplx_0(C,B)) & A != k5_numbers ) ) ) ) )).
fof(t24_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k3_power(A,C) = k5_numbers => ( r1_xxreal_0(A,k5_numbers) | A = 1 | r1_xxreal_0(C,k5_numbers) | C = 1 ) ) ) ) ) )).
fof(t24_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ! [H] : ( v1_xcmplx_0(H) => ! [I] : ( v1_xcmplx_0(I) => ! [J] : ( v1_xcmplx_0(J) => ! [K] : ( v1_xcmplx_0(K) => ( ( K = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,D),k3_xcmplx_0(3,k1_newton(G,2))),32) & H = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(k3_xcmplx_0(4,D),G)),k1_newton(G,3)),64) & I = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,B),k3_xcmplx_0(k3_xcmplx_0(64,G),C)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(G,2)),D)),k3_xcmplx_0(3,k1_newton(G,4))),1024) & E = k1_polyeq_5(2,k2_polyeq_5(k4_xcmplx_0(k1_newton(H,2)),k6_xcmplx_0(k1_newton(K,2),I),k3_xcmplx_0(2,K))) & F = k1_polyeq_5(2,k3_polyeq_5(k4_xcmplx_0(k1_newton(H,2)),k6_xcmplx_0(k1_newton(K,2),I),k3_xcmplx_0(2,K))) & J = k4_xcmplx_0(k7_xcmplx_0(H,k3_xcmplx_0(E,F))) ) => ( H = k5_numbers | ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,4),k3_xcmplx_0(G,k1_newton(A,3))),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ~ ( A != k6_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(E,F),J),k7_xcmplx_0(G,4)) & A != k6_xcmplx_0(k6_xcmplx_0(k6_xcmplx_0(E,F),J),k7_xcmplx_0(G,4)) & A != k6_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(E),F),J),k7_xcmplx_0(G,4)) & A != k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(E),F),J),k7_xcmplx_0(G,4)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ~ ( ~ r1_xxreal_0(B,k4_xcmplx_0(1)) & ~ r1_xxreal_0(k4_polyform(A),B) & ~ ( v7_ordinal1(k2_xcmplx_0(B,1)) & r1_xxreal_0(1,k2_xcmplx_0(B,1)) & r1_xxreal_0(k2_xcmplx_0(B,1),k4_polyform(A)) ) ) ) ) )).
fof(t24_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => r2_funct_2(k15_pre_poly(A),u1_struct_0(B),k7_polynom1(A,B,C,C),k8_polynom1(A,B)) ) ) )).
fof(t24_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k7_polynom1(A,B,C,D),E) = k5_algstr_0(B,k2_polynom2(A,B,C,E),k2_polynom2(A,B,D,E)) ) ) ) ) ) )).
fof(t24_polynom3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_rlvect_1(A) & l2_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_algseq_1(A,B,D) & r1_algseq_1(A,C,D) ) => r1_algseq_1(A,k1_normsp_1(A,B,C),D) ) ) ) ) ) )).
fof(t24_polynom4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_polynom4(A,k12_polynom3(A,B,C),D) = k8_group_1(A,k2_polynom4(A,B,D),k2_polynom4(A,C,D)) ) ) ) ) )).
fof(t24_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => k1_algseq_1(A,k4_polynom5(A,B,k4_struct_0(A))) = k5_numbers ) ) )).
fof(t24_polynom7,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v4_polynom7(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,C,D) = k3_polynom7(A,B,C) ) ) ) ) )).
fof(t24_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => k2_polynom8(A,B,k2_nat_1(C,D)) = k2_polynom8(A,k2_polynom8(A,B,C),D) ) ) ) ) )).
fof(t24_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(D,A,C) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => k11_bagorder(g1_orders_2(k15_pre_poly(A),B),k2_polyred(A,B,C,D)) = k3_termord(A,B,C,D) ) ) ) ) )).
fof(t24_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(A,B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k3_zfmisc_1(A,B,B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,A,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ? [J] : ? [K] : ( r2_tarski(J,k4_poset_1(k4_poset_2(A),k4_poset_2(B))) & r2_tarski(K,k4_poset_1(k4_poset_2(A),k4_poset_2(B))) & J = k11_poset_2(A,B,C,D,F,H,I,J,K) & K = k11_poset_2(A,B,C,E,G,H,I,J,K) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_power,axiom,( ! [A] : ( v1_xreal_0(A) => k2_power(A,k5_numbers) = 1 ) )).
fof(t24_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_pralg_2(D,A,B) => r1_msualg_3(B,k14_pralg_2(A,B,D),k5_pralg_2(A,B,D,C),k2_pralg_3(A,B,D,C)) ) ) ) ) )).
fof(t24_pre_circ,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( k4_card_1(A) = k1_nat_1(B,1) & ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( A = k2_xboole_0(D,k1_tarski(C)) & k4_card_1(D) = B ) ) ) ) ) ) )).
fof(t24_pre_poly,axiom,( ! [A] : k1_card_3(k9_finseq_1(A)) = k9_finseq_1(k1_card_1(A)) )).
fof(t24_pre_topc,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ( ~ v2_struct_0(A) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_pre_topc(D,A) & r2_tarski(C,D) & r1_xboole_0(B,D) ) ) ) ) ) ) ) )).
fof(t24_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => v5_relat_2(k2_eqrel_1(A,B,k3_subset_1(k2_zfmisc_1(A,A),k3_relset_1(A,A,B)))) ) ) )).
fof(t24_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r2_prelamb(A,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,B,k2_prelamb(A,C,C))),B) ) ) ) )).
fof(t24_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,C) ) => ( r1_xxreal_0(B,k5_numbers) | k2_prepower(C,k7_xcmplx_0(A,B)) = k7_xcmplx_0(k2_prepower(C,A),k2_prepower(C,B)) ) ) ) ) ) )).
fof(t24_prob_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => m1_prob_1(k7_subset_1(A,C,D),A,B) ) ) ) )).
fof(t24_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m2_prob_1(D,A,B) => r1_prob_2(A,B,D,C,k4_prob_1(A,B)) ) ) ) ) )).
fof(t24_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v5_relat_1(D,C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => r1_tarski(k1_prob_2(B,C,D,A),k1_prob_2(B,C,k2_prob_3(B,D),A)) ) ) ) )).
fof(t24_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => m1_prob_4(k1_xboole_0,A,B,C) ) ) ) )).
fof(t24_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k10_cqc_lang(A,B,C),k8_cqc_lang(A,C,B)),k4_cqc_the1(A)) ) ) ) )).
fof(t24_projpl_1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u2_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ( C != D => ( r1_incsp_1(A,k2_projpl_1(A,C,D),C) & r1_incsp_1(A,k2_projpl_1(A,C,D),D) & k2_projpl_1(A,C,D) = k2_projpl_1(A,D,C) & ( ( r1_incsp_1(A,B,C) & r1_incsp_1(A,B,D) ) => B = k2_projpl_1(A,C,D) ) ) ) ) ) ) ) )).
fof(t24_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( ( r1_incsp_1(A,C,D) & r1_incsp_1(A,C,E) ) => ( r1_incsp_1(A,B,D) | r1_incsp_1(A,B,E) | k1_funct_1(k1_projred1(A,D,E,B),C) = C ) ) ) ) ) ) ) )).
fof(t24_projred2,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ! [H] : ( m1_subset_1(H,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,B,E) & ~ r1_incsp_1(A,C,F) & ~ r1_incsp_1(A,B,G) & ~ r1_incsp_1(A,C,G) & B != C & r1_incsp_1(A,B,H) & r1_incsp_1(A,C,H) & r1_incsp_1(A,D,H) & ~ r1_incsp_1(A,D,F) & D != B & ~ r1_projred2(A,E,F,G) & ! [I] : ( m1_subset_1(I,u2_incsp_1(A)) => ~ ( r1_projred2(A,F,G,I) & ~ r1_incsp_1(A,B,I) & ~ r1_incsp_1(A,D,I) & k3_relat_1(k1_projred1(A,E,G,B),k1_projred1(A,G,F,C)) = k3_relat_1(k1_projred1(A,E,I,B),k1_projred1(A,I,F,D)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_prvect_3,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ? [C] : ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B))))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B))))))) & v2_funct_1(C) & v2_funct_2(C,u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B))))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k14_prvect_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ? [F] : ( v1_relat_1(F) & v1_funct_1(F) & v1_finseq_1(F) & ? [G] : ( v1_relat_1(G) & v1_funct_1(G) & v1_finseq_1(G) & D = F & k12_finseq_1(u1_struct_0(B),E) = G & k1_binop_1(C,D,E) = k7_finseq_1(F,G) ) ) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(k14_prvect_2(A),B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k7_prvect_3(k14_prvect_2(A),B))) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,k3_rlvect_1(k7_prvect_3(k14_prvect_2(A),B),D,E)) = k3_rlvect_1(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B))),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,D),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(k14_prvect_2(A),B))) => ! [E] : ( m1_subset_1(E,k1_numbers) => k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,k1_rlvect_1(k7_prvect_3(k14_prvect_2(A),B),D,E)) = k1_rlvect_1(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B))),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,D),E) ) ) & k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,k4_struct_0(k7_prvect_3(k14_prvect_2(A),B))) = k4_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))) & ! [D] : ( m1_subset_1(D,u1_struct_0(k7_prvect_3(k14_prvect_2(A),B))) => k2_normsp_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B))),k3_funct_2(u1_struct_0(k7_prvect_3(k14_prvect_2(A),B)),u1_struct_0(k14_prvect_2(k7_finseq_1(A,k9_finseq_1(B)))),C,D)) = k2_normsp_0(k7_prvect_3(k14_prvect_2(A),B),D) ) ) ) ) )).
fof(t24_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r2_tarski(A,B) => ( r1_xxreal_0(k6_pscomp_1(B),k17_euclid(A)) & r1_xxreal_0(k17_euclid(A),k8_pscomp_1(B)) & r1_xxreal_0(k9_pscomp_1(B),k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),k7_pscomp_1(B)) ) ) ) ) )).
fof(t24_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_pua2mss1(B,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A),k1_pua2mss1(u1_struct_0(A),u1_unialg_1(A))) => r2_pua2mss1(u1_struct_0(A),B,k8_eqrel_1(u1_struct_0(A),k9_pua2mss1(A))) ) ) )).
fof(t24_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => r6_pboole(A,k4_pboole(A,k1_pzfmisc1(A,B),k2_pzfmisc1(A,B,C)),k1_pboole(A)) ) ) )).
fof(t24_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( r1_qc_lang1(A,B,C) | r1_qc_lang1(A,C,B) ) ) ) ) )).
fof(t24_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [H] : ( m2_subset_1(H,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [I] : ( m2_subset_1(I,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k9_qc_lang2(A,D,F,H,B) = k9_qc_lang2(A,E,G,I,C) => ( D = E & F = G & H = I & B = C ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( v6_qc_lang1(C,A) => v6_qc_lang1(k15_qc_lang1(A,B,C),A) ) ) ) ) )).
fof(t24_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ( v3_qc_lang1(k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C),A) => ( r2_tarski(k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)),k9_xtuple_0(k2_qc_lang4(A,B))) & k1_funct_1(k2_qc_lang4(A,B),k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers))) = k18_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C)) ) ) ) ) ) )).
fof(t24_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) ) => ! [B] : k5_quantal1(A,k15_lattice3(A,B)) = k16_lattice3(A,a_2_0_quantal1(A,B)) ) )).
fof(t24_quatern2,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ! [C] : ( v1_quaterni(C) => k22_quaterni(A,k24_quaterni(B,C)) = k24_quaterni(k22_quaterni(A,B),k22_quaterni(A,C)) ) ) ) )).
fof(t24_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k12_quaterni(k20_quaterni(k7_xcmplx_0(1,k1_square_1(k27_quaterni(A))),k26_quaterni(A))) = k3_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k27_quaterni(A))),k12_quaterni(A)) ) )).
fof(t24_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => A = k5_quaterni(k12_quaterni(A),k13_quaterni(A),k14_quaterni(A),k15_quaterni(A)) ) )).
fof(t24_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( k1_quin_1(B,C,D) = k5_numbers => ( r1_xxreal_0(k5_numbers,B) | ( ~ ( ~ r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D)) & A = k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,B))) ) & ~ ( A != k4_xcmplx_0(k7_xcmplx_0(C,k3_xcmplx_0(2,B))) & r1_xxreal_0(k5_numbers,k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(B,k1_square_1(A)),k3_xcmplx_0(C,A)),D)) ) ) ) ) ) ) ) ) )).
fof(t24_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ! [C] : ( m2_subset_1(C,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => k4_binop_1(k7_quofield(A),k16_quofield(A),B,C) = k4_binop_1(k7_quofield(A),k16_quofield(A),C,B) ) ) ) )).
fof(t24_radix_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_radix_1(k2_xcmplx_0(C,1),B,A) => k4_radix_1(k2_xcmplx_0(C,1),A,k2_xcmplx_0(C,1),k10_radix_1(A,k2_xcmplx_0(C,1),B)) = k3_nat_d(B,k1_newton(k1_radix_1(A),C)) ) ) ) ) )).
fof(t24_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => m1_random_1(k56_valued_1(A,k1_numbers,C),A,B) ) ) ) )).
fof(t24_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => r1_vectsp_6(A,B,C,k6_ranknull(A,B,C,k1_vectsp_6(A,B,C))) ) ) ) )).
fof(t24_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( k2_rat_1(A) = k4_xcmplx_0(k1_rat_1(A)) <=> A = k4_xcmplx_0(1) ) ) )).
fof(t24_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => k11_ratfunc1(A,k8_ratfunc1(A)) = k8_ratfunc1(A) ) )).
fof(t24_rcomp_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ( v3_xxreal_2(A) => r1_tarski(A,k2_limfunc1(k3_seq_4(A))) ) ) )).
fof(t24_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => r2_funct_2(k4_ordinal1,k4_ordinal1,k1_real_3(k5_numbers,A),k8_funcop_1(k4_ordinal1,k4_ordinal1,k5_numbers)) ) )).
fof(t24_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_real_lat(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_real_lat(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_real_lat(A))) => ( k1_binop_1(k5_real_lat(A),B,k1_binop_1(k5_real_lat(A),C,D)) = k1_binop_1(k5_real_lat(A),k1_binop_1(k5_real_lat(A),C,D),B) & k1_binop_1(k5_real_lat(A),B,k1_binop_1(k5_real_lat(A),C,D)) = k1_binop_1(k5_real_lat(A),k1_binop_1(k5_real_lat(A),B,C),D) & k1_binop_1(k5_real_lat(A),B,k1_binop_1(k5_real_lat(A),C,D)) = k1_binop_1(k5_real_lat(A),k1_binop_1(k5_real_lat(A),C,B),D) & k1_binop_1(k5_real_lat(A),B,k1_binop_1(k5_real_lat(A),C,D)) = k1_binop_1(k5_real_lat(A),k1_binop_1(k5_real_lat(A),D,B),C) & k1_binop_1(k5_real_lat(A),B,k1_binop_1(k5_real_lat(A),C,D)) = k1_binop_1(k5_real_lat(A),k1_binop_1(k5_real_lat(A),D,C),B) & k1_binop_1(k5_real_lat(A),B,k1_binop_1(k5_real_lat(A),C,D)) = k1_binop_1(k5_real_lat(A),k1_binop_1(k5_real_lat(A),B,D),C) ) ) ) ) ) )).
fof(t24_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k8_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k8_struct_0(A)) => ( m2_subset_1(k4_binop_1(u1_struct_0(A),k4_realset2(A),B,C),u1_struct_0(A),k8_struct_0(A)) & m2_subset_1(k3_funct_2(k8_struct_0(A),k8_struct_0(A),k5_realset2(A),B),u1_struct_0(A),k8_struct_0(A)) ) ) ) ) )).
fof(t24_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,u1_struct_0(A),k8_struct_0(A)) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),k8_struct_0(A)) => k1_binop_1(k2_realset3(A),k3_funct_2(k8_struct_0(A),k8_struct_0(A),k5_realset2(A),B),C) = k1_funct_1(k5_realset2(A),k4_binop_1(u1_struct_0(A),k4_realset2(A),B,C)) ) ) ) )).
fof(t24_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => r2_classes1(k4_rearran1(B,A,D,C),k20_rfunct_3(B,C,B)) ) ) ) ) ) )).
fof(t24_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => k2_relat_1(k6_subset_1(A,B)) = k6_subset_1(k2_relat_1(A),k2_relat_1(B)) ) ) )).
fof(t24_relset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [D] : ( m1_subset_1(D,A) => ( r2_tarski(D,k1_relset_1(A,C)) <=> ? [E] : ( m1_subset_1(E,B) & r2_hidden(k4_tarski(D,E),C) ) ) ) ) ) ) )).
fof(t24_relset_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( m1_subset_1(D,k1_zfmisc_1(B)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) => ( r2_hidden(A,k6_relset_2(B,C,D,E)) => ! [F] : ( r2_tarski(F,D) => r2_hidden(A,k1_relset_2(B,C,E,F)) ) ) ) ) )).
fof(t24_revrot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k10_xtuple_0(C)) & r1_xxreal_0(1,A) ) => ( r1_xxreal_0(k3_finseq_1(k2_finseq_5(u1_struct_0(k15_euclid(2)),C,B)),A) | k2_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),C,B),A) = k2_topreal1(2,C,k1_nat_1(k7_nat_d(A,1),k4_finseq_4(C,B))) ) ) ) ) ) )).
fof(t24_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) => r1_rewrite1(k2_relat_1(A),C,B) ) ) )).
fof(t24_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ! [C] : ( m1_subset_1(C,k8_afinsq_1(A)) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(A)) => ! [E] : ( m2_finseq_1(E,k8_afinsq_1(A)) => ( m1_rewrite1(E,k7_rewrite2(A,B)) => m1_rewrite1(k5_rewrite2(A,D,k4_rewrite2(A,C,E)),k7_rewrite2(A,B)) ) ) ) ) ) )).
fof(t24_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(C)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(C)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(k8_afinsq_1(C))) => ! [G] : ( l1_rewrite3(G,F) => ( r1_rewrite3(F,G,A,D,B) <=> r2_rewrite3(C,F,G,A,k1_flang_1(C,D,E),B,E) ) ) ) ) ) ) )).
fof(t24_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( B != k5_numbers => k8_relset_1(k4_ordinal1,k1_numbers,A,k1_tarski(k7_xcmplx_0(C,B))) = k8_relset_1(k4_ordinal1,k1_numbers,k10_rvsum_1(A,B),k1_tarski(C)) ) ) ) ) )).
fof(t24_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v8_valued_0(A) => v7_valued_0(k6_rvsum_1(A)) ) ) )).
fof(t24_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k54_valued_1(k18_valued_1(A,B)) = k18_valued_1(k54_valued_1(A),k54_valued_1(B)) ) ) )).
fof(t24_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r2_hidden(D,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) )).
fof(t24_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_rfunct_3(B,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_rfunct_3(C,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => ! [D] : ( m2_rfunct_3(D,A,k1_numbers,k3_rfunct_3(A,k1_numbers)) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,k3_finseq_4(k3_rfunct_3(A,k1_numbers),B,C,D)),k5_rfunct_3(A,k1_numbers,k5_rfunct_3(A,k1_numbers,B,C),D)) ) ) ) ) )).
fof(t24_rfunct_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r4_rfunct_4(B,A) => r2_rfunct_4(B,A) ) ) )).
fof(t24_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v7_valued_0(A) & v1_seq_2(A) ) => k1_seq_2(A) = k1_rinfsup1(A) ) ) )).
fof(t24_rinfsup2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k6_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => r1_xxreal_0(k2_rinfsup2(A),k1_rinfsup2(A)) ) )).
fof(t24_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v4_ring_2(B,A) <=> v2_ring_1(k7_ideal_1(A,k6_domain_1(u1_struct_0(A),B)),A) ) ) ) )).
fof(t24_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(k17_ringcat1(A))) => ! [C] : ( m1_subset_1(C,u4_struct_0(k17_ringcat1(A))) => ! [D] : ( m3_ringcat1(D,k10_ringcat1(k9_ringcat1(A))) => ! [E] : ( m3_ringcat1(E,k10_ringcat1(k9_ringcat1(A))) => ( ( B = D & C = E ) => ( ( k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) => k11_ringcat1(k9_ringcat1(A),E) = k12_ringcat1(k9_ringcat1(A),D) ) & ( k11_ringcat1(k9_ringcat1(A),E) = k12_ringcat1(k9_ringcat1(A),D) => k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) ) & ( k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) => r2_hidden(k4_tarski(E,D),k1_relset_1(k2_zfmisc_1(k10_ringcat1(k9_ringcat1(A)),k10_ringcat1(k9_ringcat1(A))),k16_ringcat1(k9_ringcat1(A)))) ) & ( r2_hidden(k4_tarski(E,D),k1_relset_1(k2_zfmisc_1(k10_ringcat1(k9_ringcat1(A)),k10_ringcat1(k9_ringcat1(A))),k16_ringcat1(k9_ringcat1(A)))) => k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) ) & ( k3_graph_1(k17_ringcat1(A),C) = k4_graph_1(k17_ringcat1(A),B) => k1_cat_1(k17_ringcat1(A),B,C) = k6_ringcat1(E,D) ) & ( k3_graph_1(k17_ringcat1(A),B) = k3_graph_1(k17_ringcat1(A),C) => k11_ringcat1(k9_ringcat1(A),D) = k11_ringcat1(k9_ringcat1(A),E) ) & ( k11_ringcat1(k9_ringcat1(A),D) = k11_ringcat1(k9_ringcat1(A),E) => k3_graph_1(k17_ringcat1(A),B) = k3_graph_1(k17_ringcat1(A),C) ) & ( k4_graph_1(k17_ringcat1(A),B) = k4_graph_1(k17_ringcat1(A),C) => k12_ringcat1(k9_ringcat1(A),D) = k12_ringcat1(k9_ringcat1(A),E) ) & ( k12_ringcat1(k9_ringcat1(A),D) = k12_ringcat1(k9_ringcat1(A),E) => k4_graph_1(k17_ringcat1(A),B) = k4_graph_1(k17_ringcat1(A),C) ) ) ) ) ) ) ) ) )).
fof(t24_rlaffin1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_rlvect_2(C,B) => ! [D] : ( m1_rlvect_2(D,B) => r1_rlvect_2(B,k2_rlaffin1(B,k7_rlvect_2(B,C,D),A),k7_rlvect_2(B,k2_rlaffin1(B,C,A),k2_rlaffin1(B,D,A))) ) ) ) ) )).
fof(t24_rlaffin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlvect_2(B,A) => ! [C] : ( m1_rlvect_2(C,A) => ~ ( k6_rlvect_2(A,B) != k6_rlvect_2(A,C) & k3_rlaffin1(A,B) = k3_rlaffin1(A,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_xxreal_0(k3_funct_2(u1_struct_0(A),k1_numbers,B,D),k3_funct_2(u1_struct_0(A),k1_numbers,C,D)) ) ) ) ) ) )).
fof(t24_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( m2_rlaffin3(C,k15_euclid(A),B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_prvect_1(k2_vectsp_1,A)))) => ( ( B = D & r2_tarski(k5_euclid(A),B) & k1_funct_1(C,k3_finseq_1(C)) = k5_euclid(A) ) => ! [E] : ( m1_matrlin(E,k2_vectsp_1,k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A),D)) => ( E = k17_finseq_1(u1_struct_0(k15_euclid(A)),k7_nat_d(k4_card_1(B),1),C) => ! [F] : ( m1_subset_1(F,u1_struct_0(k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A),D))) => k9_matrlin(k2_vectsp_1,k1_vectsp_7(k2_vectsp_1,k6_prvect_1(k2_vectsp_1,A),D),E,F) = k17_finseq_1(k1_numbers,k7_nat_d(k4_card_1(B),1),k1_rlaffin3(k15_euclid(A),B,C,F)) ) ) ) ) ) ) ) ) )).
fof(t24_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,C) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C,C),C))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k1_numbers,C),C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,C),C))) ) => ( ( B = C & D = k4_struct_0(A) & E = k1_realset1(u1_algstr_0(A),B) & F = k5_relat_1(u1_rlvect_1(A),k2_zfmisc_1(k1_numbers,B)) ) => m1_rlsub_1(g1_rlvect_1(C,D,E,F),A) ) ) ) ) ) ) ) )).
fof(t24_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( ( v1_rlvect_1(C) & m1_rlsub_1(C,A) ) => k2_rlsub_2(A,C,k1_rlsub_2(A,C,B)) = C ) ) ) )).
fof(t24_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ r1_xboole_0(k5_rusub_4(A,B,D),C) <=> r2_tarski(D,k7_rusub_4(A,C,k2_rltopsp1(A,B))) ) ) ) ) ) )).
fof(t24_rlvect_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k1_rlvect_1(B,k4_algstr_0(B,C),A) = k1_rlvect_1(B,C,k4_xcmplx_0(A)) ) ) ) )).
fof(t24_rlvect_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m2_finseq_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( ( r2_tarski(A,k1_relset_1(k4_ordinal1,D)) & C = k1_funct_1(D,A) ) => k1_funct_1(k5_rlvect_2(B,D,E),A) = k1_rlvect_1(B,C,k3_funct_2(u1_struct_0(B),k1_numbers,E,C)) ) ) ) ) ) ) )).
fof(t24_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v1_rlvect_3(B,A) & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(B,C) & v1_rlvect_3(C,A) & k1_rlvect_3(A,C) = g1_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_algstr_0(A),u1_rlvect_1(A)) ) ) ) ) ) )).
fof(t24_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v1_rlvect_3(k8_domain_1(u1_struct_0(A),B,D,C),A) => ( B = C | B = D | C = D | v1_rlvect_3(k8_domain_1(u1_struct_0(A),B,k5_algstr_0(A,D,B),k5_algstr_0(A,C,B)),A) ) ) ) ) ) ) )).
fof(t24_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_rlvect_5(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlvect_3(B,A) => v1_finset_1(B) ) ) ) ) )).
fof(t24_rlvect_x,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r2_tarski(A,k5_rusub_4(B,k2_rlvect_x(B,k8_domain_1(u1_struct_0(B),D,E,F)),C)) <=> ? [G] : ( v1_int_1(G) & ? [H] : ( v1_int_1(H) & ? [I] : ( v1_int_1(I) & A = k3_rlvect_1(B,k3_rlvect_1(B,k3_rlvect_1(B,C,k1_rlvect_1(B,D,G)),k1_rlvect_1(B,E,H)),k1_rlvect_1(B,F,I)) ) ) ) ) ) ) ) ) ) )).
fof(t24_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => m1_rmod_2(B,A,B) ) ) )).
fof(t24_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( m1_rmod_2(D,A,B) => m1_rmod_2(k2_rmod_3(A,B,C,D),A,k1_rmod_3(A,B,C,D)) ) ) ) ) )).
fof(t24_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k4_rmod_4(A,B,k6_finseq_1(u1_struct_0(B)),C) = k6_finseq_1(u1_struct_0(B)) ) ) ) )).
fof(t24_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),D),k6_robbins1(A,k6_robbins1(A,B,C),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),D)),k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),k3_robbins1(A,D))) = k6_lattices(A) ) ) ) ) )).
fof(t24_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),B)),C) = k3_robbins1(A,k3_robbins1(A,C)) ) ) ) )).
fof(t24_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_lattice3(A) & v2_lattice3(A) & v6_oposet_1(A) & l2_qmax_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) => ( C = k10_lattice3(A,B,C) & B = k11_lattice3(A,B,C) ) ) ) ) ) )).
fof(t24_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_robbins4)) => ( r3_lattices(k2_robbins4,A,B) <=> r1_tarski(A,B) ) ) ) )).
fof(t24_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k3_roughs_1(A,B),k3_roughs_1(A,C)) ) ) ) ) )).
fof(t24_roughs_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_zfmisc_1(A),k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(A),k1_zfmisc_1(A)))) ) => ( ( r2_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),C,k5_roughs_2(A,B)) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => r1_tarski(k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,D)),k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),B,D)) ) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => r1_tarski(k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),C,D),k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),C,k3_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(A),C,D))) ) ) ) ) ) )).
fof(t24_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_tarski(C,B) => k1_rpr_1(A,k7_subset_1(A,B,C)) = k6_xcmplx_0(k1_rpr_1(A,B),k1_rpr_1(A,C)) ) ) ) ) )).
fof(t24_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_rsspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_rsspace4(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_rsspace4(A,B))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_rsspace4(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,u1_struct_0(B)) & v1_rsspace4(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,u1_struct_0(B)) & v1_rsspace4(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( F = C & G = D & H = E ) => ( E = k5_algstr_0(k9_rsspace4(A,B),C,D) <=> ! [I] : ( m1_subset_1(I,A) => k3_funct_2(A,u1_struct_0(B),H,I) = k5_algstr_0(B,k3_funct_2(A,u1_struct_0(B),F,I),k3_funct_2(A,u1_struct_0(B),G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_bhsp_1(B) & m1_rusub_1(B,A) ) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => ( u1_struct_0(B) = u1_struct_0(C) => B = C ) ) ) ) )).
fof(t24_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => k2_rusub_2(A,C,k1_rusub_2(A,C,B)) = C ) ) ) )).
fof(t24_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_3(C,B) => ? [D] : ( m1_rusub_3(D,A) & r1_tarski(C,D) ) ) ) ) )).
fof(t24_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ( v2_rusub_4(k3_rusub_4(A,B),A) & r2_tarski(k4_struct_0(A),u1_struct_0(B)) ) ) ) )).
fof(t24_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( C != k4_struct_0(A) & r1_struct_0(B,C) & r1_struct_0(k2_rusub_5(A,B),C) ) ) ) ) )).
fof(t24_rvsum_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( k30_valued_1(A) = k30_valued_1(B) => A = B ) ) ) )).
fof(t24_rvsum_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v3_card_1(B,A) & m2_finseq_1(B,k2_numbers) ) => k10_rvsum_2(A,B,k5_complex1) = k5_finseq_2(k2_numbers,A,k5_complex1) ) ) )).
fof(t24_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ( r2_tarski(B,k4_finseq_1(A)) => k16_rvsum_1(k1_funct_7(A,B,C)) = k2_xcmplx_0(k6_xcmplx_0(k16_rvsum_1(A),k1_funct_1(A,B)),C) ) ) ) ) )).
fof(t24_scm_halt,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( m1_scmfsa_2(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_partfun1(C,k4_ordinal1) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scm_halt(D) & v2_scm_halt(D) ) => ! [E] : ( ( v4_amistd_1(E,k5_card_1(3),k1_scmfsa_2) & m1_subset_1(E,u1_compos_1(k1_scmfsa_2)) ) => k18_scmfsa_2(k1_scmfsa6b(k4_scmfsa6a(D,E),A,C),B) = k18_scmfsa_2(k2_extpro_1(k5_card_1(3),k1_scmfsa_2,E,k1_scmfsa6b(D,A,C)),B) ) ) ) ) ) )).
fof(t24_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 7 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_scmfsa_2),A))) = k1_tarski(1) ) ) )).
fof(t24_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k1_scmfsa6a(k2_scmfsa6a(A,B)) = k2_scmfsa6a(A,k1_scmfsa6a(B)) ) ) )).
fof(t24_scmfsa8a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ( r5_scmfsa7b(C,A,B) => k2_scmfsa8a(A,B,k1_scmfsa6a(C)) = k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(B,C),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,A)),1) ) ) ) ) )).
fof(t24_scmfsa8b,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( k5_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k2_scmfsa8b(E,C,D),B,A)) = k1_nat_1(k1_nat_1(k4_card_1(C),k4_card_1(D)),3) & ( ~ r1_xxreal_0(k1_funct_1(B,E),k5_numbers) => ( ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(E,C,D),B,A),F) = k1_funct_1(k1_scmfsa6b(C,B,A),F) ) & ! [F] : ( m1_scmfsa_2(F) => k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa8b(E,C,D),B,A),F) = k18_scmfsa_2(k1_scmfsa6b(C,B,A),F) ) ) ) & ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) => ( ! [F] : ( ( v1_ami_2(F) & m1_subset_1(F,u1_struct_0(k1_scmfsa_2)) ) => k1_funct_1(k1_scmfsa6b(k2_scmfsa8b(E,C,D),B,A),F) = k1_funct_1(k1_scmfsa6b(D,B,A),F) ) & ! [F] : ( m1_scmfsa_2(F) => k18_scmfsa_2(k1_scmfsa6b(k2_scmfsa8b(E,C,D),B,A),F) = k18_scmfsa_2(k1_scmfsa6b(D,B,A),F) ) ) ) ) ) ) ) ) ) )).
fof(t24_scmfsa8c,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ( k1_funct_1(B,k4_scmfsa_2(k5_numbers)) = 1 => ( r1_scmfsa8a(B,A,C) <=> r1_scmfsa8a(k1_scmfsa_m(B),A,C) ) ) ) ) ) )).
fof(t24_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k3_sf_mastr(k4_scmfsa_x(A,B)) = k4_subset_1(k2_scmfsa_2,k4_scmfsa_m(A),k3_sf_mastr(B)) ) ) )).
fof(t24_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( m2_subset_1(B,k1_scmfsa_1,k2_scmfsa_1) => ! [C] : ( v1_int_1(C) => k1_funct_1(k7_scmfsa_1(A,B,C),B) = C ) ) ) )).
fof(t24_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k12_scmfsa_2(A,B)) = 7 ) ) )).
fof(t24_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ~ ( ~ r1_xxreal_0(C,B) & r1_xxreal_0(k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),C)),k4_seq_4(k3_funct_2(k4_ordinal1,k1_zfmisc_1(k4_ordinal1),k8_scmfsa_m(A),B))) ) ) ) ) )).
fof(t24_scmfsa_x,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(k4_card_1(A),B) & ~ r1_xxreal_0(k4_card_1(A),C) & ~ v5_amistd_1(k1_funct_7(A,B,k11_scmfsa_2(C)),k5_card_1(3),k1_scmfsa_2) ) ) ) ) )).
fof(t24_scmisort,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) & v1_scm_halt(C) & v1_scmfsa7b(C) & v5_amistd_1(C,k5_card_1(3),k1_scmfsa_2) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_ami_2(E) & ~ v1_scmfsa_m(E) & m1_subset_1(E,u1_struct_0(k1_scmfsa_2)) ) => ( v1_scm_halt(k4_scmfsa_x(E,C)) => ( r1_xxreal_0(k1_funct_1(B,E),k5_numbers) | k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(E,C),B,A),D) = k1_funct_1(k1_scmfsa6b(k4_scmfsa_x(E,C),k1_scmfsa6b(C,B,A),A),D) ) ) ) ) ) ) ) )).
fof(t24_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k15_scmpds_2(C,D,A,B)) = 12 ) ) ) ) )).
fof(t24_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ( r1_xxreal_0(k5_numbers,k2_xcmplx_0(k4_card_1(A),C)) => v3_scmpds_4(k3_scmpds_4(A,k7_scmpds_2(D,B,C))) ) ) ) ) ) )).
fof(t24_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) ) => ! [D] : ( v7_ordinal1(D) => ( ~ r1_xxreal_0(k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B),D) => r2_tarski(k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,D)),k9_xtuple_0(C)) ) ) ) ) ) )).
fof(t24_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( r1_scmpds_6(C,B,A) <=> r1_scmpds_6(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,B),k1_funct_4(A,D)) ) ) ) ) ) )).
fof(t24_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_scmpds_4(D) ) => ( ( r1_scmpds_6(C,A,B) & r2_scmpds_6(C,A,B) & r1_scmpds_6(D,k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),B),B) & r2_scmpds_6(D,k6_scmpds_4(C,k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),B),B) ) => ( r1_scmpds_6(k1_scmpds_4(C,D),A,B) & r2_scmpds_6(k1_scmpds_4(C,D),A,B) ) ) ) ) ) ) )).
fof(t24_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_recdef_1(I,J) = k5_numbers => r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) ) ) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(J,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(B,J)) ) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ( ( ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(J,L)) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,H) => k1_funct_1(J,L) = k1_funct_1(B,L) ) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,K),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,K) & r2_scmpds_6(C,J,K) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,K)))) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(k6_scmpds_4(C,J,K),k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(k6_scmpds_4(C,J,K),L)) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,H) => k1_funct_1(k6_scmpds_4(C,J,K),L) = k1_funct_1(J,L) ) ) ) ) ) ) ) ) => ( r1_scmpds_6(k2_scmpds_8(D,E,C),B,A) & r2_scmpds_6(k2_scmpds_8(D,E,C),B,A) ) ) ) ) ) ) ) ) ) )).
fof(t24_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k2_memstr_0(k5_card_1(2),k1_scmring2(A)) = k3_relat_1(k3_ami_2,k1_scmring1(A)) ) )).
fof(t24_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_scmring2(A)))) => ( B = 4 => k6_compos_0(u1_compos_1(k1_scmring2(A)),B) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t24_scmyciel,axiom,( ! [A] : ( v4_scmyciel(A) => ! [B] : ( r2_hidden(B,k3_tarski(A)) <=> r2_tarski(k1_tarski(B),A) ) ) )).
fof(t24_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ~ ( B != C & C != D & D != B ) => r1_semi_af1(A,B,C,D) ) ) ) ) ) )).
fof(t24_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,C),A),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,B,A),k26_valued_1(k4_ordinal1,k1_numbers,C,A))) ) ) ) )).
fof(t24_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & v2_comseq_2(A) & v9_ordinal1(A) ) => ( k1_seq_2(A) = k5_numbers | k1_seq_2(k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,B,A)) = k7_xcmplx_0(k1_seq_2(B),k1_seq_2(A)) ) ) ) ) )).
fof(t24_seq_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( v2_comseq_2(A) & k1_seq_2(A) != k5_numbers & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( m2_valued_0(B,k1_numbers,A) & v9_ordinal1(B) ) ) ) ) )).
fof(t24_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ! [D] : ( ( r1_tarski(D,C) & r2_seqfunc(A,B,C) ) => ( D = k1_xboole_0 | ( r2_seqfunc(A,B,D) & r2_relset_1(A,k1_numbers,k2_partfun1(A,k1_numbers,k11_seqfunc(A,B,C),D),k11_seqfunc(A,B,D)) ) ) ) ) ) )).
fof(t24_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v7_valued_0(A) & m2_valued_0(B,k1_numbers,A) ) => v7_valued_0(B) ) ) ) )).
fof(t24_series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(1,k9_complex1(A)) => ( v1_series_1(k1_prepower(A)) & k4_series_1(k1_prepower(A)) = k7_xcmplx_0(1,k6_xcmplx_0(1,A)) ) ) ) )).
fof(t24_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(k3_xcmplx_0(B,k1_nat_1(B,1)),k1_newton(2,B)) ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k3_xcmplx_0(k11_newton(2,k1_nat_1(B,1)),k2_xcmplx_0(k6_xcmplx_0(k1_newton(B,2),B),2)),4) ) ) ) )).
fof(t24_series_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(k9_complex1(A),B) => r1_xxreal_0(k1_square_1(A),k1_square_1(B)) ) ) ) )).
fof(t24_series_4,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( k8_nat_1(k1_numbers,A,B) = k3_xcmplx_0(k1_newton(2,B),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,B),1),4)) & k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k2_xcmplx_0(k3_xcmplx_0(k1_newton(2,B),k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(3,B),4),2)),2) ) ) ) ) )).
fof(t24_series_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( ( v1_xreal_0(B) & v2_xxreal_0(B) ) => ! [C] : ( ( v1_xreal_0(C) & v2_xxreal_0(C) ) => r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(A,B),C),k2_xcmplx_0(k2_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(B,C),A),k7_xcmplx_0(k3_xcmplx_0(A,C),B)),k7_xcmplx_0(k3_xcmplx_0(A,B),C))) ) ) ) )).
fof(t24_setfam_1,axiom,( ! [A] : ! [B] : ( B != k1_xboole_0 => k2_xboole_0(A,k1_setfam_1(B)) = k1_setfam_1(k2_setfam_1(k1_tarski(A),B)) ) )).
fof(t24_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => v2_prob_1(k4_setlim_1(A,B)) ) )).
fof(t24_setlim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v2_prob_1(C) => v2_prob_1(k6_setlim_2(A,C,B)) ) ) ) )).
fof(t24_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) ) => ( D = k1_xboole_0 | ! [F] : ( m1_subset_1(F,B) => ( ! [G] : ( m1_subset_1(G,A) => ( r2_tarski(G,D) => k3_funct_2(A,B,E,G) = F ) ) => k7_setwiseo(A,B,C,D,E) = F ) ) ) ) ) ) ) ) ) )).
fof(t24_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( m2_finseq_1(E,A) => r2_funct_2(k4_ordinal1,B,k1_partfun1(k4_ordinal1,A,A,B,k1_setwop_2(A,E,C),D),k1_setwop_2(B,k4_finseqop(A,B,E,D),k3_funct_2(A,B,D,C))) ) ) ) ) ) )).
fof(t24_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => k3_sf_mastr(A) = k3_sf_mastr(k5_compos_1(k1_scmfsa_2,A,B)) ) ) )).
fof(t24_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) & v3_compos_1(D,k1_scmfsa_2) & v4_compos_1(D,k1_scmfsa_2) & v5_amistd_1(D,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(D) ) => ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 => ( ( ~ r1_sfmastr2(B,A,C,D) & ~ v6_amistd_1(D,k5_card_1(3),k1_scmfsa_2) ) | r5_scmfsa7b(k2_sfmastr2(C,D),A,B) ) ) ) ) ) ) )).
fof(t24_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,k4_ordinal1) & v5_relat_1(E,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(E) & v1_partfun1(E,k4_ordinal1) ) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & ~ v1_xboole_0(F) & v1_finset_1(F) & v1_afinsq_1(F) & v3_compos_1(F,k1_scmfsa_2) & v4_compos_1(F,k1_scmfsa_2) & v5_amistd_1(F,k5_card_1(3),k1_scmfsa_2) ) => ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 => ( r1_xxreal_0(k1_funct_1(A,C),k1_funct_1(A,D)) | ( ! [G] : ( ( v1_ami_2(G) & m1_subset_1(G,u1_struct_0(k1_scmfsa_2)) ) => ( r2_tarski(G,k4_subset_1(k2_scmfsa_2,k5_scmfsa_m(C,D),k3_sf_mastr(F))) => ( G = B | k1_funct_1(k1_scmfsa6b(k2_sfmastr3(B,C,D,F),A,E),G) = k1_funct_1(A,G) ) ) ) & ! [G] : ( m1_scmfsa_2(G) => k18_scmfsa_2(k1_scmfsa6b(k2_sfmastr3(B,C,D,F),A,E),G) = k18_scmfsa_2(A,G) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_sgraph1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_sgraph1(B))) => ! [D] : ! [E] : ~ ( r2_tarski(D,B) & r2_tarski(E,B) & D != E & r2_tarski(g1_sgraph1(B,C),k3_sgraph1(A)) & ! [F] : ( ( v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_sgraph1(B))) ) => ~ ( F = k2_xboole_0(C,k1_tarski(k2_tarski(D,E))) & r2_tarski(g1_sgraph1(B,F),k3_sgraph1(A)) ) ) ) ) ) )).
fof(t24_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & v1_sheffer1(A) & v2_sheffer1(A) & v3_sheffer1(A) & l3_lattices(A) ) => v4_sheffer1(A) ) )).
fof(t24_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,C,k5_sheffer1(A,B,D))) = C ) ) ) ) )).
fof(t24_simplex0,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( ( v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v3_pre_topc(B,A) => r1_xxreal_0(k4_card_1(B),k1_xxreal_3(k6_simplex0(A),1)) ) ) ) )).
fof(t24_simplex1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( ( ~ v3_pencil_1(C) & v1_matroid0(C) & v3_matroid0(C) & m1_simplex0(C,u1_struct_0(B)) ) => ( r1_tarski(k3_simplex1(B,C),k2_struct_0(C)) => r1_tarski(k4_simplex0(C),k4_simplex0(k5_simplex1(A,B,C))) ) ) ) ) )).
fof(t24_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k4_card_1(B) = k2_xcmplx_0(A,1) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))) & v5_pre_topc(C,k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)),k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B))),u1_struct_0(k1_pre_topc(k15_euclid(A),k3_convex1(k15_euclid(A),B)))))) ) => v2_abian(C) ) ) ) ) )).
fof(t24_sin_cos,axiom,( k1_relset_1(k1_numbers,k16_sin_cos) = k1_numbers & k1_relset_1(k1_numbers,k18_sin_cos) = k1_numbers )).
fof(t24_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k6_xcmplx_0(k1_square_1(k1_funct_1(k1_sin_cos2,A)),k1_square_1(k1_funct_1(k1_sin_cos2,B))) = k3_xcmplx_0(k1_funct_1(k1_sin_cos2,k2_xcmplx_0(A,B)),k1_funct_1(k1_sin_cos2,k6_xcmplx_0(A,B))) & k3_xcmplx_0(k1_funct_1(k1_sin_cos2,k2_xcmplx_0(A,B)),k1_funct_1(k1_sin_cos2,k6_xcmplx_0(A,B))) = k6_xcmplx_0(k1_square_1(k1_funct_1(k3_sin_cos2,A)),k1_square_1(k1_funct_1(k3_sin_cos2,B))) & k6_xcmplx_0(k1_square_1(k1_funct_1(k1_sin_cos2,A)),k1_square_1(k1_funct_1(k1_sin_cos2,B))) = k6_xcmplx_0(k1_square_1(k1_funct_1(k3_sin_cos2,A)),k1_square_1(k1_funct_1(k3_sin_cos2,B))) ) ) ) )).
fof(t24_sin_cos3,axiom,( k10_funct_2(k2_numbers,k2_numbers,k4_sin_cos3,k5_complex1) = 1 )).
fof(t24_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( k17_sin_cos(A) != k5_numbers & k17_sin_cos(B) != k5_numbers & k6_xcmplx_0(k2_sin_cos4(A),k2_sin_cos4(B)) != k4_xcmplx_0(k7_xcmplx_0(k17_sin_cos(k6_xcmplx_0(A,B)),k3_xcmplx_0(k17_sin_cos(A),k17_sin_cos(B)))) ) ) ) )).
fof(t24_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(k17_sin_cos(A),4) = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(3,k3_xcmplx_0(4,k19_sin_cos(k3_xcmplx_0(2,A)))),k19_sin_cos(k3_xcmplx_0(4,A))),8) ) )).
fof(t24_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( k17_sin_cos(A) = 1 => A = k2_xcmplx_0(k7_xcmplx_0(k28_sin_cos,2),k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_int_1(k7_xcmplx_0(A,k3_xcmplx_0(2,k28_sin_cos))))) ) ) )).
fof(t24_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(1,B) ) => r1_xxreal_0(k5_numbers,k2_xcmplx_0(k3_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(B),1))),k3_xcmplx_0(B,k3_square_1(k6_xcmplx_0(k1_square_1(A),1))))) ) ) ) )).
fof(t24_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_xxreal_0(k5_numbers,A) => k2_sin_cos2(k7_xcmplx_0(A,2)) = k3_square_1(k7_xcmplx_0(k6_xcmplx_0(k4_sin_cos2(A),1),2)) ) ) )).
fof(t24_sin_cos9,axiom,( r1_tarski(k1_rcomp_1(k4_xcmplx_0(1),1),k1_relset_1(k1_numbers,k2_sin_cos9)) )).
fof(t24_sincos10,axiom,( v2_funct_1(k2_partfun1(k1_numbers,k1_numbers,k2_fdiff_9,k4_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)))) )).
fof(t24_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(a_1_0_sppol_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )).
fof(t24_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k10_xtuple_0(A)) => k3_topreal1(2,A) = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,k1_finseq_5(u1_struct_0(k15_euclid(2)),A,B)),k3_topreal1(2,k2_finseq_5(u1_struct_0(k15_euclid(2)),A,B))) ) ) ) )).
fof(t24_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_rltopsp1(k15_euclid(2),k10_pscomp_1(A),k13_pscomp_1(A)) = a_1_1_sprect_1(A) ) )).
fof(t24_sprect_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_sprect_2(A,B) & r1_sprect_2(A,C) ) => r1_sprect_2(A,k8_finseq_1(u1_struct_0(k15_euclid(2)),B,C)) ) ) ) ) )).
fof(t24_sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( v3_pre_topc(k2_goboard9(A),k15_euclid(2)) & v3_pre_topc(k3_goboard9(A),k15_euclid(2)) ) ) )).
fof(t24_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k20_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(t24_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( ( r1_xxreal_0(k5_numbers,A) & k3_square_1(A) = k5_numbers ) => A = k5_numbers ) ) )).
fof(t24_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_rewrite1(C,k12_stacks_1(A)) => ( B = k1_funct_1(C,1) => r1_tarski(k10_xtuple_0(C),k11_stacks_1(A,B)) ) ) ) ) )).
fof(t24_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => v1_finset_1(a_2_0_stirl2_1(A,B)) ) ) )).
fof(t24_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_valuat_1(C,A,B) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ! [F] : ( m2_subset_1(F,k16_substut1(A),k38_substut1(A)) => ( k19_substut1(A,E) = k19_substut1(A,F) => ( ( r1_sublemma(A,E,B,k1_sublemma(A,B,D,k3_sublemma(A,E,B,D)),C) & r1_sublemma(A,F,B,k1_sublemma(A,B,D,k3_sublemma(A,F,B,D)),C) ) <=> r1_sublemma(A,k6_sublemma(A,E,F),B,k1_sublemma(A,B,D,k3_sublemma(A,k6_sublemma(A,E,F),B,D)),C) ) ) ) ) ) ) ) ) )).
fof(t24_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_xboole_0(B,k3_subset_1(A,C)) <=> r1_tarski(B,C) ) ) ) )).
fof(t24_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k5_finsub_1(k4_partfun1(A,B))) => k3_substlat(A,B,k4_substlat(A,B,C,C)) = k3_substlat(A,B,C) ) )).
fof(t24_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ~ ( v7_substut1(B,A) & r1_xxreal_0(k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,B))),k3_finseq_1(k11_qc_lang1(A,k18_substut1(A,k31_substut1(A,B))))) ) ) ) )).
fof(t24_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_substut1(A)) => k7_cqc_sim1(A,k5_cqc_lang(A)) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,k5_cqc_lang(A),B))) ) ) )).
fof(t24_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( v3_supinf_2(C,A,B) <=> v3_supinf_2(k14_supinf_2(A,B,C),A,k6_supinf_2(B)) ) ) ) ) )).
fof(t24_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,D,C) & ~ r1_orders_2(B,F,C) & k8_group_1(A,k1_symsp_1(A,B,C,D,E),k9_algstr_0(A,k1_symsp_1(A,B,C,D,F))) != k1_symsp_1(A,B,C,F,E) ) ) ) ) ) ) ) )).
fof(t24_sysrel,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( ( k3_relat_1(B,k6_subset_1(B,k4_relat_1(A))) = k1_xboole_0 => k3_relat_1(B,k6_subset_1(B,k4_relat_1(k10_xtuple_0(B)))) = k1_xboole_0 ) & ( k3_relat_1(k6_subset_1(B,k4_relat_1(A)),B) = k1_xboole_0 => k3_relat_1(k6_subset_1(B,k4_relat_1(k9_xtuple_0(B))),B) = k1_xboole_0 ) ) ) )).
fof(t24_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( r2_relset_1(A,A,C,k13_lang1(A,k1_taxonom1(A,B,k5_numbers))) & v1_taxonom1(B,A) & v2_metric_1(B,A) & v3_metric_1(B,A) ) => C = k4_relat_1(A) ) ) ) ) )).
fof(t24_taylor_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ! [C] : ( v7_ordinal1(C) => ( r1_taylor_1(A,C,B) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( r1_tarski(k2_rcomp_1(D,E),B) => ( r1_xxreal_0(E,D) | r2_relset_1(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,B),C),k2_rcomp_1(D,E)),k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(A,k2_rcomp_1(D,E)),C)) ) ) ) ) ) ) ) ) )).
fof(t24_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( v7_ordinal1(C) => ? [D] : ( v7_ordinal1(D) & r1_xxreal_0(C,D) & ? [E] : ( v1_xreal_0(E) & r2_hidden(E,k2_rcomp_1(k4_xcmplx_0(A),A)) & ~ ( ~ r1_xxreal_0(B,k9_complex1(k6_xcmplx_0(k1_funct_1(k16_sin_cos,E),k8_nat_1(k1_numbers,k3_series_1(k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),E)),D)))) & ~ r1_xxreal_0(B,k9_complex1(k6_xcmplx_0(k1_funct_1(k18_sin_cos,E),k8_nat_1(k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),E)),D)))) ) ) ) ) ) ) ) )).
fof(t24_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v6_tbsp_1(B,A) & r1_tarski(C,B) ) => r1_xxreal_0(k2_tbsp_1(A,C),k2_tbsp_1(A,B)) ) ) ) ) )).
fof(t24_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) => v5_tops_1(k2_pre_topc(A,B),A) ) ) ) )).
fof(t24_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => r1_tarski(k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k1_tdlat_2(A,B),k1_tdlat_2(A,C)),k1_tdlat_2(A,k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C))) ) ) ) )).
fof(t24_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( v3_tdlat_3(A) <=> ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) => k1_tops_1(A,B) = B ) ) ) ) )).
fof(t24_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v4_polynom7(D,A,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r6_pboole(A,k3_termord(A,B,C,D),k16_pre_poly(A)) & k4_termord(A,B,C,D) = k4_polynom1(A,C,D,k16_pre_poly(A)) ) ) ) ) ) )).
fof(t24_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(k3_tex_1(A,B)),u1_pre_topc(k3_tex_1(A,B))) <=> ( u1_struct_0(C) = A & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( ( r1_tarski(k6_domain_1(A,B),D) => v4_pre_topc(D,C) ) & ( v4_pre_topc(D,C) => ( v1_xboole_0(D) | r1_tarski(k6_domain_1(A,B),D) ) ) ) ) ) ) ) ) ) )).
fof(t24_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v3_pre_topc(C,A) ) => ( v3_pre_topc(k9_subset_1(u1_struct_0(A),B,C),A) & v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & v3_pre_topc(C,A) & v2_tex_2(B,A) & v2_tex_2(C,A) ) => v2_tex_2(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(t24_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_pre_topc(B,A) => ( v2_tex_3(B,A) <=> ? [C] : ( v1_pre_topc(C) & v1_tsep_1(C,A) & v1_tex_3(C,A) & m1_pre_topc(C,A) & m1_pre_topc(C,B) ) ) ) ) )).
fof(t24_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v3_pre_topc(B,A) & r2_tarski(C,B) ) => r1_tarski(k2_tex_4(A,C),B) ) ) ) ) )).
fof(t24_tietze,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v1_xboole_0(B) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & v5_pre_topc(C,k1_pre_topc(A,B),k4_topmetr(k4_xcmplx_0(1),1)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,B)),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))) & v5_pre_topc(D,A,k4_topmetr(k4_xcmplx_0(1),1)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1))))) & k2_partfun1(u1_struct_0(A),u1_struct_0(k4_topmetr(k4_xcmplx_0(1),1)),D,B) = C ) ) ) => v10_pre_topc(A) ) ) )).
fof(t24_tietze_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( v4_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ( v10_pre_topc(B) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v2_compts_1(F,k15_euclid(A)) & v1_convex1(F,k15_euclid(A)) & r1_metrizts(C,k15_euclid(A),E,F) ) => ( v2_tops_1(F,k15_euclid(A)) | ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(k1_pre_topc(B,D)),u1_struct_0(k1_pre_topc(C,E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(B,D)),u1_struct_0(k1_pre_topc(C,E))))) ) => ~ ( v5_pre_topc(G,k1_pre_topc(B,D),k1_pre_topc(C,E)) & ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(B),u1_struct_0(k1_pre_topc(C,E))) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(k1_pre_topc(C,E))))) ) => ~ ( v5_pre_topc(H,B,k1_pre_topc(C,E)) & k2_partfun1(u1_struct_0(B),u1_struct_0(k1_pre_topc(C,E)),H,D) = G ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( ( m1_pre_topc(C,B) & m1_pre_topc(D,B) ) => m1_pre_topc(k1_tsep_1(A,C,D),B) ) ) ) ) ) )).
fof(t24_toler_1,axiom,( ! [A] : ? [B] : ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,k3_tarski(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(A)))) & ! [C] : ( r2_tarski(C,A) => m1_toler_1(C,k3_tarski(A),B) ) ) )).
fof(t24_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ! [G] : ( m1_borsuk_2(G,A,D,B) => ( r4_borsuk_2(A,B,C,E,F) => r4_borsuk_2(A,B,C,E,k1_borsuk_2(A,B,B,C,k1_borsuk_2(A,B,D,B,k2_borsuk_2(A,D,B,G),G),F)) ) ) ) ) ) ) ) ) )).
fof(t24_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_borsuk_2(F,A,D,E) => ( r1_borsuk_6(A,D,E) => m1_borsuk_2(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),F,C),B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) )).
fof(t24_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & v1_borsuk_2(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_borsuk_2(I,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G)) => ! [J] : ( m1_borsuk_2(J,k2_borsuk_1(A,B),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H)) => r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(A),k7_topalg_4(A,B,C,E,F,H,k1_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H),I,J)),k1_borsuk_2(A,C,D,E,k7_topalg_4(A,B,C,D,F,G,I),k7_topalg_4(A,B,D,E,G,H,J))) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_topalg_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k8_toprealb(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k8_toprealb(2))) => ! [C] : ( m1_borsuk_2(C,k8_toprealb(2),A,B) => ! [D] : ( m1_borsuk_2(D,k8_toprealb(2),A,B) => ! [E] : ( m1_borsuk_6(E,k8_toprealb(2),A,B,C,D) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_topalg_2)) => ~ ( r4_borsuk_2(k8_toprealb(2),A,B,C,D) & r2_tarski(F,k8_relset_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k6_domain_1(u1_struct_0(k8_toprealb(2)),A))) & ! [G] : ( m1_subset_1(G,u1_struct_0(k2_topalg_2)) => ! [H] : ( m1_borsuk_2(H,k2_topalg_2,F,G) => ! [I] : ( m1_borsuk_2(I,k2_topalg_2,F,G) => ! [J] : ( m1_borsuk_6(J,k2_topalg_2,F,G,H,I) => ~ ( r4_borsuk_2(k2_topalg_2,F,G,H,I) & r2_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k8_toprealb(2)),E,k1_partfun1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),J,k12_toprealb)) & r2_tarski(G,k8_relset_1(u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),k12_toprealb,k6_domain_1(u1_struct_0(k8_toprealb(2)),B))) & ! [K] : ( m1_borsuk_6(K,k2_topalg_2,F,G,H,I) => ( r2_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k8_toprealb(2)),E,k1_partfun1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),K,k12_toprealb)) => r2_funct_2(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)),u1_struct_0(k2_topalg_2),J,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_topalg_6,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m2_subset_1(B,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) => ( r1_tarski(k9_xtuple_0(B),k1_numbers) & r1_tarski(k10_xtuple_0(B),k2_struct_0(A)) ) ) ) )).
fof(t24_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( r1_borsuk_3(A,B) => ( v3_topdim_1(A) <=> v3_topdim_1(B) ) ) ) ) )).
fof(t24_topdim_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_pre_topc(B) & v3_pcomps_1(B) & l1_pre_topc(B) ) => ( v3_topdim_1(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( ( r1_xxreal_0(k2_topdim_1(B,k3_subset_1(u1_struct_0(B),C)),A) & v5_waybel23(k1_pre_topc(B,k3_subset_1(u1_struct_0(B),C))) ) => ! [D] : ( ( v4_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ! [E] : ( ( v4_pre_topc(E,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( C = k4_subset_1(u1_struct_0(B),D,E) & ! [F] : ( ( v4_pre_topc(F,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) ) => ! [G] : ( ( v4_pre_topc(G,B) & m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) ) => ~ ( k2_struct_0(B) = k4_subset_1(u1_struct_0(B),F,G) & r1_tarski(D,F) & r1_tarski(E,G) & k9_subset_1(u1_struct_0(B),D,G) = k9_subset_1(u1_struct_0(B),D,E) & k9_subset_1(u1_struct_0(B),D,E) = k9_subset_1(u1_struct_0(B),F,E) & r1_xxreal_0(k2_topdim_1(B,k7_subset_1(u1_struct_0(B),k9_subset_1(u1_struct_0(B),F,G),k9_subset_1(u1_struct_0(B),D,E))),k3_xxreal_3(A,1)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( B = k1_xboole_0 => k3_topgen_1(A,B) = k1_xboole_0 ) ) ) )).
fof(t24_topgen_2,axiom,( ! [A] : ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topgen_2(A,B)))) => ( v1_finset_1(C) => k2_pre_topc(k5_topgen_2(A,B),C) = C ) ) )).
fof(t24_topgen_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(k4_series_1(k4_topgen_3(B,A)),k4_series_1(k1_prepower(A))) ) ) )).
fof(t24_topgen_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(B,A) & v1_tops_2(C,A) ) => v1_tops_2(k3_topgen_4(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t24_topgen_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_topgen_2(C,A) => ! [D] : ( m1_topgen_2(D,B) => ( C = D => g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) ) ) ) ) ) )).
fof(t24_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(C,A,B) <=> ( k1_relset_1(u1_struct_0(A),C) = k2_struct_0(A) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) & v2_funct_1(C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( v4_pre_topc(D,B) <=> v4_pre_topc(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),A) ) ) ) ) ) ) ) )).
fof(t24_topmetr,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(A,B) & r1_xxreal_0(B,1) & C = k1_rcomp_1(A,B) ) => k4_topmetr(A,B) = k1_pre_topc(k5_topmetr,C) ) ) ) ) )).
fof(t24_topreal1,axiom,( ? [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) & ? [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) & v4_topreal1(A) & v4_topreal1(B) & k1_topreal1 = k4_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k3_topreal1(2,B)) & k9_subset_1(u1_struct_0(k15_euclid(2)),k3_topreal1(2,A),k3_topreal1(2,B)) = k2_tarski(k19_euclid(k5_numbers,k5_numbers),k19_euclid(1,1)) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k19_euclid(k5_numbers,k5_numbers) & k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)) = k19_euclid(1,1) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,1) = k19_euclid(k5_numbers,k5_numbers) & k7_partfun1(u1_struct_0(k15_euclid(2)),B,k3_finseq_1(B)) = k19_euclid(1,1) ) ) )).
fof(t24_topreal3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k14_euclid(2))) => ( ( r2_tarski(k19_euclid(B,C),k8_metric_1(k14_euclid(2),E,A)) & r2_tarski(k19_euclid(D,C),k8_metric_1(k14_euclid(2),E,A)) ) => r2_tarski(k19_euclid(k7_xcmplx_0(k2_xcmplx_0(B,D),2),C),k8_metric_1(k14_euclid(2),E,A)) ) ) ) ) ) ) )).
fof(t24_topreal4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( v2_topreal4(B,k15_euclid(2)) & A = a_2_0_topreal4(B,C) ) => v3_pre_topc(A,k15_euclid(2)) ) ) ) ) )).
fof(t24_topreal6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k14_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( ( A = k4_struct_0(k15_euclid(2)) & A = B ) => ( B = k2_finseq_4(k4_ordinal1,k5_numbers,k5_numbers) & k17_euclid(B) = k5_numbers & k18_euclid(B) = k5_numbers ) ) ) ) )).
fof(t24_topreal7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) ) => ( ( u1_struct_0(A) = u1_struct_0(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & C = D & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & r1_tarski(k8_metric_1(B,D,F),k8_metric_1(A,C,E)) ) ) ) ) ) ) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(E,k5_numbers) & C = D & ! [F] : ( v1_xreal_0(F) => ~ ( ~ r1_xxreal_0(F,k5_numbers) & r1_tarski(k8_metric_1(A,C,F),k8_metric_1(B,D,E)) ) ) ) ) ) ) ) => k3_pcomps_1(A) = k3_pcomps_1(B) ) ) ) )).
fof(t24_topreal8,axiom,( ! [A] : ( ( v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( r1_xxreal_0(k3_finseq_1(A),4) | v2_funct_1(k2_rfinseq(u1_struct_0(k15_euclid(2)),B,A)) ) ) ) ) )).
fof(t24_topreal9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k15_euclid(A))) => ( ( k2_xcmplx_0(B,C) = 1 & k2_xcmplx_0(k9_complex1(B),k9_complex1(C)) = 1 & r2_tarski(E,k2_topreal9(A,G,D)) & r2_tarski(F,k1_topreal9(A,G,D)) ) => ( C = k5_numbers | r2_tarski(k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),E,B),k1_rlvect_1(k15_euclid(A),F,C)),k1_topreal9(A,G,D)) ) ) ) ) ) ) ) ) ) )).
fof(t24_topreala,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r1_xxreal_0(A,C) & r1_xxreal_0(D,B) ) => ( v3_pre_topc(k2_rcomp_1(C,D),k4_topmetr(A,B)) & m1_subset_1(k2_rcomp_1(C,D),k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B)))) ) ) ) ) ) ) )).
fof(t24_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( ( m1_subset_1(A,u1_struct_0(k11_toprealb(k9_toprealb))) & k18_euclid(A) = k5_numbers ) => A = k10_toprealb ) ) )).
fof(t24_toprealc,axiom,( ! [A] : ( v1_valued_2(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => ( r2_tarski(k30_valued_1(B),A) <=> r2_tarski(B,k2_toprealc(A)) ) ) ) )).
fof(t24_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ( k12_euclid(B) = k5_numbers => B = k4_struct_0(k15_euclid(A)) ) ) ) )).
fof(t24_tops_1,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v3_pre_topc(B,A) & r1_tarski(B,C) ) => r1_tarski(B,k1_tops_1(A,C)) ) ) ) ) )).
fof(t24_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ( v3_pre_topc(C,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & k9_subset_1(u1_struct_0(B),D,k2_struct_0(B)) = C ) ) ) ) ) )).
fof(t24_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_tops_1(B,A) => v3_tops_1(k2_pre_topc(A,B),A) ) ) ) )).
fof(t24_tops_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)))) ) => ( v5_pre_topc(B,k15_euclid(A),k3_topmetr) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ? [E] : ( v1_xreal_0(E) & v2_xxreal_0(E) & r1_tarski(k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,k1_topreal9(A,C,E)),k2_rcomp_1(k6_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,C),D),k2_xcmplx_0(k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,C),D))) ) ) ) ) ) ) )).
fof(t24_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_transgeo(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( r3_transgeo(A,B) => r3_transgeo(A,k2_funct_2(u1_struct_0(A),B)) ) ) ) )).
fof(t24_treal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & m1_pre_topc(A,k3_topmetr) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,k3_topmetr) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ~ ( ? [D] : ( v1_xreal_0(D) & ? [E] : ( v1_xreal_0(E) & r1_xxreal_0(D,E) & r1_tarski(k1_rcomp_1(D,E),u1_struct_0(A)) & r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,k1_rcomp_1(D,E)),k1_rcomp_1(D,E)) ) ) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) != D ) ) ) ) ) )).
fof(t24_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( ~ v1_xboole_0(k2_xboole_0(A,B)) & v1_trees_1(k2_xboole_0(A,B)) ) ) ) )).
fof(t24_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m1_trees_2(B,A) => m1_trees_2(a_2_2_trees_2(A,B),A) ) ) )).
fof(t24_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v6_trees_3(A) <=> ! [B] : ( r2_hidden(B,k9_xtuple_0(A)) => ( v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) & v3_trees_2(k1_funct_1(A,B)) ) ) ) ) )).
fof(t24_trees_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k2_zfmisc_1(A,B)) & v1_funct_1(C) & v3_trees_2(C) ) => ( k9_xtuple_0(k8_trees_3(A,B,C)) = k9_xtuple_0(C) & k9_xtuple_0(k9_trees_3(A,B,C)) = k9_xtuple_0(C) ) ) ) ) )).
fof(t24_trees_9,axiom,( ! [A] : ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v3_trees_3(C) ) => ( r2_tarski(A,k12_trees_9(C,B)) <=> ? [D] : ( m1_subset_1(D,C) & ? [E] : ( m1_trees_1(E,k9_xtuple_0(D)) & A = k5_trees_2(D,E) & ~ ( r2_tarski(E,k3_trees_1(k9_xtuple_0(D))) & ~ r2_tarski(k1_funct_1(D,E),B) ) ) ) ) ) )).
fof(t24_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) ) => ( v1_borsuk_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A) ) ) ) ) )).
fof(t24_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_tarski(D,B) & r1_tarski(E,C) & k9_subset_1(u1_struct_0(A),D,E) = k9_subset_1(u1_struct_0(A),B,C) & r2_tsep_1(A,B,C) ) => r2_tsep_1(A,D,E) ) ) ) ) ) ) )).
fof(t24_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k8_relset_1(u1_struct_0(A),u1_struct_0(B),k1_tsp_2(A,B),k2_pre_topc(B,k6_domain_1(u1_struct_0(B),D))) = k2_pre_topc(A,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(t24_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m2_funct_2(B,k4_numbers,u1_turing_1(A),k9_funct_2(k4_numbers,u1_turing_1(A))) => ! [C] : ( v1_int_1(C) => ! [D] : ( m1_subset_1(D,u1_turing_1(A)) => ( k1_funct_1(B,C) = D => r2_funct_2(k4_numbers,u1_turing_1(A),k4_turing_1(A,B,C,D),B) ) ) ) ) ) )).
fof(t24_twoscomp,axiom,( k1_funct_1(k17_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = 1 & k1_funct_1(k17_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,1)) = 1 & k1_funct_1(k17_twoscomp,k11_finseq_1(k5_numbers,1,k5_numbers)) = 1 & k1_funct_1(k17_twoscomp,k11_finseq_1(k5_numbers,1,1)) = 1 & k1_funct_1(k17_twoscomp,k11_finseq_1(1,k5_numbers,k5_numbers)) = 1 & k1_funct_1(k17_twoscomp,k11_finseq_1(1,k5_numbers,1)) = 1 & k1_funct_1(k17_twoscomp,k11_finseq_1(1,1,k5_numbers)) = k5_numbers & k1_funct_1(k17_twoscomp,k11_finseq_1(1,1,1)) = 1 )).
fof(t24_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => v1_binop_1(k10_unialg_2(A),k9_unialg_2(A)) ) )).
fof(t24_unialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_unialg_1(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v2_unialg_2(A) & l1_unialg_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( B = k4_relat_1(u1_struct_0(A)) => k5_unialg_3(A,A,B) = k4_relat_1(u1_struct_0(k12_unialg_2(A))) ) ) ) )).
fof(t24_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k1_complfld)) => ( r2_tarski(B,k2_uniroots(A)) <=> ? [C] : ( m1_subset_1(C,k4_ordinal1) & B = k1_hahnban1(k19_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C),A)),k17_sin_cos(k7_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),C),A))) ) ) ) ) )).
fof(t24_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k13_polynom3(A))) => ( B = C => k5_vfunct_1(k4_ordinal1,A,B) = k4_algstr_0(k13_polynom3(A),C) ) ) ) ) )).
fof(t24_urysohn1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v10_pre_topc(A) => ! [B] : ( ( v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( v4_pre_topc(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( B != k1_xboole_0 => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k1_urysohn1(D),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(D),k1_zfmisc_1(u1_struct_0(A))))) ) => ~ ( r1_tarski(B,k1_funct_1(E,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(E,1)) & ! [F] : ( m2_subset_1(F,k1_numbers,k1_urysohn1(D)) => ! [G] : ( m2_subset_1(G,k1_numbers,k1_urysohn1(D)) => ( ~ r1_xxreal_0(G,F) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(D),k1_zfmisc_1(u1_struct_0(A)),E,F),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(D),k1_zfmisc_1(u1_struct_0(A)),E,G),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(D),k1_zfmisc_1(u1_struct_0(A)),E,F)),k3_funct_2(k1_urysohn1(D),k1_zfmisc_1(u1_struct_0(A)),E,G)) ) ) ) ) & ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k1_urysohn1(k1_nat_1(D,1)),k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_urysohn1(k1_nat_1(D,1)),k1_zfmisc_1(u1_struct_0(A))))) ) => ~ ( r1_tarski(B,k1_funct_1(F,k5_numbers)) & C = k7_subset_1(u1_struct_0(A),k2_struct_0(A),k1_funct_1(F,1)) & ! [G] : ( m2_subset_1(G,k1_numbers,k1_urysohn1(k1_nat_1(D,1))) => ! [H] : ( m2_subset_1(H,k1_numbers,k1_urysohn1(k1_nat_1(D,1))) => ! [I] : ( m2_subset_1(I,k1_numbers,k1_urysohn1(k1_nat_1(D,1))) => ( ~ r1_xxreal_0(H,G) => ( v3_pre_topc(k3_funct_2(k1_urysohn1(k1_nat_1(D,1)),k1_zfmisc_1(u1_struct_0(A)),F,G),A) & v3_pre_topc(k3_funct_2(k1_urysohn1(k1_nat_1(D,1)),k1_zfmisc_1(u1_struct_0(A)),F,H),A) & r1_tarski(k2_pre_topc(A,k3_funct_2(k1_urysohn1(k1_nat_1(D,1)),k1_zfmisc_1(u1_struct_0(A)),F,G)),k3_funct_2(k1_urysohn1(k1_nat_1(D,1)),k1_zfmisc_1(u1_struct_0(A)),F,H)) & ( r2_tarski(I,k1_urysohn1(D)) => k3_funct_2(k1_urysohn1(k1_nat_1(D,1)),k1_zfmisc_1(u1_struct_0(A)),F,I) = k1_funct_1(E,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_urysohn2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(B,1) & ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(C,k2_urysohn1) & ~ r1_xxreal_0(C,A) & ~ r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t24_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_funct_2(C,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [E] : ( m2_subset_1(E,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [F] : ( m1_valuat_1(F,A,B) => ( r1_valuat_1(A,B,k8_cqc_lang(A,D,E),F,C) <=> ( r1_valuat_1(A,B,D,F,C) => r1_valuat_1(A,B,E,F,C) ) ) ) ) ) ) ) ) )).
fof(t24_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => k8_nat_1(A,B,C) = k8_nat_1(A,B,D) ) ) => v3_funct_1(B) ) ) ) )).
fof(t24_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => r2_tarski(k2_xcmplx_0(C,B),k1_relset_1(k4_ordinal1,k61_valued_1(A,B))) ) ) ) ) )).
fof(t24_valued_2,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k24_valued_1(B,k4_xcmplx_0(A)) = k30_valued_1(k24_valued_1(B,A)) ) ) )).
fof(t24_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m2_vectsp_4(D,A,B,C) => m1_subset_1(D,u1_struct_0(k6_vectsp10(A,B,C))) ) ) ) ) )).
fof(t24_vectsp11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v13_vectsp_1(C,B,B) & v1_mod_2(C,A,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( r1_struct_0(k2_vectsp11(A,B,C),D) <=> ? [E] : ( v7_ordinal1(E) & k3_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,C,E),D) = k4_struct_0(B) ) ) ) ) ) ) )).
fof(t24_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => k9_algstr_0(A,k9_algstr_0(A,B)) = B ) ) ) )).
fof(t24_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_vectsp_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k3_vectsp_2(A))) => ( k4_vectsp_2(A,k3_vectsp_2(A),B,k3_rlvect_1(k3_vectsp_2(A),D,E)) = k3_rlvect_1(k3_vectsp_2(A),k4_vectsp_2(A,k3_vectsp_2(A),B,D),k4_vectsp_2(A,k3_vectsp_2(A),B,E)) & k4_vectsp_2(A,k3_vectsp_2(A),k3_rlvect_1(A,B,C),D) = k3_rlvect_1(k3_vectsp_2(A),k4_vectsp_2(A,k3_vectsp_2(A),B,D),k4_vectsp_2(A,k3_vectsp_2(A),C,D)) & k4_vectsp_2(A,k3_vectsp_2(A),k6_algstr_0(A,C,B),D) = k4_vectsp_2(A,k3_vectsp_2(A),B,k4_vectsp_2(A,k3_vectsp_2(A),C,D)) & k4_vectsp_2(A,k3_vectsp_2(A),k1_group_1(A),D) = D ) ) ) ) ) ) )).
fof(t24_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => m1_vectsp_4(B,A,B) ) ) )).
fof(t24_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),D) = D ) ) ) ) )).
fof(t24_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_vectsp_6(D,A,B) => ! [E] : ( m1_vectsp_6(E,A,B) => ( ( m2_vectsp_6(D,A,B,C) & m2_vectsp_6(E,A,B,C) ) => m2_vectsp_6(k5_vectsp_6(A,B,D,E),A,B,C) ) ) ) ) ) ) )).
fof(t24_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ( v1_matrlin(B,A) => v1_matrlin(C,A) ) ) ) ) )).
fof(t24_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k5_vfunct_1(A,B,k5_vfunct_1(A,B,C)),C) ) ) ) )).
fof(t24_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k5_vfunct_1(A,B,k5_vfunct_1(A,B,C)),C) ) ) ) )).
fof(t24_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( v7_ordinal1(I) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,k2_vfunct_1(u1_struct_0(C),D,E,F)),k1_nat_1(I,1)),G) = k5_algstr_0(D,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,E),k1_nat_1(I,1)),G),k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,F),k1_nat_1(I,1)),G)) ) ) ) ) ) ) ) ) ) )).
fof(t24_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_yellow_0(B,A) & v7_yellow_0(B,A) & m1_yellow_0(B,A) ) => ( v22_waybel_0(k6_waybel10(A,B),A,A) <=> v4_waybel_0(B,A) ) ) ) )).
fof(t24_waybel11,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v1_yellow_6(B,A) & l1_waybel_0(B,A) ) => r1_waybel11(A,B,k3_yellow_6(A,B)) ) ) )).
fof(t24_waybel12,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel_0(a_2_1_waybel12(A,B),A) & m1_subset_1(a_2_1_waybel12(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t24_waybel13,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ? [B] : ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k2_yellow_1(u1_struct_0(k1_waybel_8(A))))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_yellow_1(u1_struct_0(k1_waybel_8(A))))))) & v17_waybel_0(B,A,k2_yellow_1(u1_struct_0(k1_waybel_8(A)))) & v22_waybel_0(B,A,k2_yellow_1(u1_struct_0(k1_waybel_8(A)))) & v2_funct_1(B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(k2_yellow_1(u1_struct_0(k1_waybel_8(A)))),B,C) = k2_waybel_8(A,C) ) ) ) )).
fof(t24_waybel14,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(B,k5_waybel11(A)) <=> v3_pre_topc(B,A) ) ) ) )).
fof(t24_waybel15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_orders_2(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v1_waybel15(B,A) & v1_waybel15(C,A) ) => ( B = C | k12_lattice3(A,B,C) = k3_yellow_0(A) ) ) ) ) ) )).
fof(t24_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_waybel16(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_yellow_0(A,C) & B = k2_yellow_0(A,C) ) => r2_tarski(B,C) ) ) ) ) ) )).
fof(t24_waybel17,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_3_waybel17(A,B,C,D)) ) ) ) ) ) )).
fof(t24_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_pre_topc(D) & l1_pre_topc(D) ) => ! [E] : ( m3_yellow_9(E,A,B) => ! [F] : ( m3_yellow_9(F,C,D) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(C)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,u1_struct_0(B),u1_struct_0(D)) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(D)))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,u1_struct_0(E),u1_struct_0(F)) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(E),u1_struct_0(F)))) ) => ( ( r1_funct_2(u1_struct_0(E),u1_struct_0(F),u1_struct_0(A),u1_struct_0(C),I,G) & r1_funct_2(u1_struct_0(E),u1_struct_0(F),u1_struct_0(B),u1_struct_0(D),I,H) & v5_pre_topc(G,A,C) & v5_pre_topc(H,B,D) ) => v5_pre_topc(I,E,F) ) ) ) ) ) ) ) ) ) ) )).
fof(t24_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_orders_3(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v2_waybel_0(D,A) => v2_waybel_0(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) )).
fof(t24_waybel21,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(D,A,B) => r1_tarski(k7_relset_1(u1_struct_0(A),u1_struct_0(B),D,k9_yellow_6(A,C)),k9_yellow_6(B,k6_waybel_9(A,B,D,C))) ) ) ) ) ) )).
fof(t24_waybel23,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_subset_1(C,u1_struct_0(A),B) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),B) => ( r1_yellow_0(A,k7_domain_1(B,C,D)) => ( r1_yellow_0(k5_yellow_0(A,B),k7_domain_1(B,C,D)) & k1_yellow_0(k5_yellow_0(A,B),k7_domain_1(B,C,D)) = k1_yellow_0(A,k7_domain_1(B,C,D)) ) ) ) ) ) ) )).
fof(t24_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( E = k2_yellow_0(k5_yellow_1(u1_struct_0(A),B),k7_domain_1(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),C,D)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),E,F) = k2_yellow_0(B,k7_domain_1(u1_struct_0(B),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,F),k3_funct_2(u1_struct_0(A),u1_struct_0(B),D,F))) ) ) ) ) ) ) ) )).
fof(t24_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k1_funct_1(u1_waybel_0(k1_waybel25(B),k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,E)),D) = k1_funct_1(k3_funct_2(u1_struct_0(C),u1_struct_0(k3_waybel24(A,k1_waybel25(B))),u1_waybel_0(k3_waybel24(A,k1_waybel25(B)),C),D),E) ) ) ) ) ) )).
fof(t24_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ~ v7_pre_topc(A) => r1_waybel18(k9_waybel18,A) ) ) )).
fof(t24_waybel27,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( ( v2_pre_topc(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v4_waybel11(B) & l1_waybel_9(B) ) => k2_waybel27(A,B) = k2_waybel17(A,B) ) ) )).
fof(t24_waybel28,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r2_tarski(k4_waybel17(A,B),k5_yellow_6(A)) ) ) )).
fof(t24_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v4_waybel11(C) & v3_waybel_3(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_waybel_9(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,k3_waybel24(A,C)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))))) & v1_waybel27(E) & v2_funct_1(E) & v2_funct_2(E,u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))) & v2_waybel27(F) & v2_funct_1(F) & v2_funct_2(F,u1_struct_0(k3_waybel24(B,D))) ) ) ) ) ) <=> ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v2_pre_topc(C) & v3_orders_2(C) & v4_orders_2(C) & v5_orders_2(C) & v4_waybel11(C) & v3_waybel_3(C) & v1_lattice3(C) & v2_lattice3(C) & v3_lattice3(C) & l1_waybel_9(C) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,k3_waybel24(A,C)) ) => ? [E] : ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(B,D)),u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C))))) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel24(k2_borsuk_1(B,A),C)),u1_struct_0(k3_waybel24(B,D))))) & v1_waybel27(E) & v23_waybel_0(E,k3_waybel24(B,D),k3_waybel24(k2_borsuk_1(B,A),C)) & v2_waybel27(F) & v23_waybel_0(F,k3_waybel24(k2_borsuk_1(B,A),C),k3_waybel24(B,D)) ) ) ) ) ) ) ) )).
fof(t24_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k1_waybel30(A,B),k1_waybel30(A,C)) ) ) ) ) )).
fof(t24_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v4_waybel11(B) & m1_yellow_9(B,A) ) => k1_waybel31(A) = k2_waybel23(B) ) ) )).
fof(t24_waybel32,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v25_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => k1_waybel_2(A,k2_waybel32(A,B)) = k1_waybel11(A,B) ) ) )).
fof(t24_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => r1_tarski(k2_waybel19(A),k4_waybel28(A)) ) )).
fof(t24_waybel34,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_waybel34(C,A,B) <=> v1_t_0topsp(k8_waybel18(A,B,C),A,k7_waybel18(A,B,C)) ) ) ) ) )).
fof(t24_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel35(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v3_waybel35(C,A,B) & m1_waybel35(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k6_waybel35(A,B,C)) => D = k1_yellow_0(A,a_4_0_waybel35(A,B,C,D)) ) ) ) ) ) )).
fof(t24_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v13_waybel_0(B,A) <=> r1_tarski(k4_waybel_0(A,B),B) ) ) ) )).
fof(t24_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) => ( v2_funct_2(C,u1_struct_0(B)) <=> v2_funct_1(D) ) ) ) ) ) ) )).
fof(t24_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => ( ! [D] : r1_yellow_0(A,k7_relset_1(B,u1_struct_0(A),C,D)) => r1_tarski(k2_relset_1(u1_struct_0(A),k1_waybel_0(A,k2_waybel_2(A,B,C))),k11_waybel_0(A,k2_relset_1(u1_struct_0(A),C))) ) ) ) )).
fof(t24_waybel_3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v24_waybel_0(A) & l1_orders_2(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( ~ v1_xboole_0(k1_waybel_3(A,B)) & v1_waybel_0(k1_waybel_3(A,B),A) ) ) => ( v2_waybel_3(A) <=> ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r3_orders_2(A,B,C) & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( r1_waybel_3(A,D,B) & ~ r3_orders_2(A,D,C) ) ) ) ) ) ) ) ) )).
fof(t24_waybel_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) ) => k6_waybel_0(A,k4_yellow_0(A)) = k6_domain_1(u1_struct_0(A),k4_yellow_0(A)) ) )).
fof(t24_waybel_5,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_waybel_5(A) & l1_orders_2(A) ) => v3_waybel_3(A) ) )).
fof(t24_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_waybel_6(B,A) => v2_waybel_6(B,A) ) ) ) )).
fof(t24_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( ~ r2_tarski(C,B) & ! [D] : ( ( ~ v1_xboole_0(D) & v1_waybel_0(D,A) & v12_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v1_waybel_7(D,A) & r1_tarski(B,D) & ~ r2_tarski(C,D) ) ) ) ) ) ) )).
fof(t24_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) => ( v3_orders_2(k1_yellow_2(A,A,B)) & v4_orders_2(k1_yellow_2(A,A,B)) & v5_orders_2(k1_yellow_2(A,A,B)) & v1_lattice3(k1_yellow_2(A,A,B)) & v2_lattice3(k1_yellow_2(A,A,B)) & v2_waybel_8(k1_yellow_2(A,A,B)) & l1_orders_2(k1_yellow_2(A,A,B)) ) ) ) ) )).
fof(t24_waybel_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ( r2_tarski(B,k9_yellow_6(A,C)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( D = k2_relset_1(u1_struct_0(A),u1_waybel_0(A,C)) => r2_tarski(B,k2_pre_topc(A,D)) ) ) ) ) ) ) )).
fof(t24_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,u1_struct_0(k5_weddwitt(A,B))) <=> k6_algstr_0(A,C,B) = k6_algstr_0(A,B,C) ) ) ) ) )).
fof(t24_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ( v2_compts_1(B,k3_pcomps_1(A)) => ( B = k1_xboole_0 | v5_pre_topc(k5_weierstr(A,B),k3_pcomps_1(A),k3_topmetr) ) ) ) ) )).
fof(t24_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v1_wellord1(B) => v1_wellord1(k2_wellord1(B,A)) ) ) )).
fof(t24_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ? [C] : ( v1_rat_1(C) & A = k1_newton(C,B) ) & ! [C] : ( v1_int_1(C) => A != k1_newton(C,B) ) ) ) ) )).
fof(t24_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k2_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(A,C)) )).
fof(t24_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => k4_xboolean(k3_xboolean(A),k7_xboolean(A,B)) = k4_xboolean(k4_xboolean(k3_xboolean(A),k3_xboolean(B)),k5_xboolean(k3_xboolean(A),B)) ) ) )).
fof(t24_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k6_xcmplx_0(A,B) = k6_xcmplx_0(C,D) => k6_xcmplx_0(A,C) = k6_xcmplx_0(B,D) ) ) ) ) ) )).
fof(t24_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,B) <=> r1_xxreal_0(k4_xcmplx_0(B),k4_xcmplx_0(A)) ) ) ) )).
fof(t24_xtuple_0,axiom,( ! [A] : ! [B] : r1_tarski(k9_xtuple_0(k3_xboole_0(A,B)),k3_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B))) )).
fof(t24_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ( r1_xxreal_0(C,A) & r1_xxreal_0(C,B) & ! [D] : ( v1_xxreal_0(D) => ( ( r1_xxreal_0(D,A) & r1_xxreal_0(D,B) ) => r1_xxreal_0(D,C) ) ) ) => C = k3_xxreal_0(A,B) ) ) ) ) )).
fof(t24_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_tarski(k2_xxreal_1(A,B),k1_xxreal_1(A,B)) ) ) )).
fof(t24_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => m1_xxreal_2(B,k4_xxreal_1(A,B)) ) ) )).
fof(t24_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( v1_xreal_0(B) => A = k3_xxreal_3(k1_xxreal_3(A,B),B) ) ) ) )).
fof(t24_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_orders_2(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) => ( k4_yellow_3(A,B,k4_yellow_4(k3_yellow_3(A,B),C,D)) = k4_yellow_4(A,k4_yellow_3(A,B,C),k4_yellow_3(A,B,D)) & k5_yellow_3(A,B,k4_yellow_4(k3_yellow_3(A,B),C,D)) = k4_yellow_4(B,k5_yellow_3(A,B,C),k5_yellow_3(A,B,D)) ) ) ) ) ) )).
fof(t24_yellow12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) => ( r2_yellow_0(A,k7_relset_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A),k4_waybel_2(A),B)) => r3_waybel_0(k3_yellow_3(A,A),A,k4_waybel_2(A),B) ) ) ) )).
fof(t24_yellow13,axiom,( ! [A] : ( l1_pre_topc(A) => m2_yellow13(k9_setfam_1(u1_struct_0(A)),A) ) )).
fof(t24_yellow14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) => ( ( C = D & E = F & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & r1_yellow_8(A,E,C) ) => r1_yellow_8(B,F,D) ) ) ) ) ) ) ) )).
fof(t24_yellow15,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( v6_waybel23(k2_struct_0(A),A) & v7_waybel23(k2_struct_0(A),A) ) ) )).
fof(t24_yellow16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r4_yellow16(B,A) => v3_lattice3(B) ) ) ) )).
fof(t24_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v11_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v11_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ( ( r2_yellow18(A,B) & r2_yellow18(C,D) ) => ! [E] : ( ( v15_functor0(E,B,C) & m2_functor0(E,B,C) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ( r1_functor3(B,C,E,F) => r1_functor3(A,D,k2_functor3(A,B,D,k2_yellow18(A,B),k3_functor3(B,C,D,F,k2_yellow18(C,D))),k2_functor3(A,B,D,k2_yellow18(A,B),k3_functor3(B,C,D,E,k2_yellow18(C,D)))) ) ) ) ) ) ) ) ) )).
fof(t24_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_pre_topc(B,A) <=> ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v3_yellow_6(C,A) & l1_waybel_0(C,A) ) => ( r1_waybel_0(A,C,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_tarski(D,k9_yellow_6(A,C)) => r2_tarski(D,B) ) ) ) ) ) ) ) )).
fof(t24_yellow20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( r1_yellow20(A,B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_yellow20(A,B))) => ( ( E = C & E = D & k8_altcat_1(A,C) = k8_altcat_1(B,D) ) => r2_tarski(k8_altcat_1(A,C),k1_altcat_1(k2_yellow20(A,B),E,E)) ) ) ) ) ) ) ) )).
fof(t24_yellow_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B = k13_lattice3(A,B,C) <=> r1_orders_2(A,C,B) ) ) ) ) )).
fof(t24_yellow_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => k4_yellow_0(k1_yellow_1(u1_pre_topc(A))) = u1_struct_0(A) ) )).
fof(t24_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ! [B] : r1_yellow_0(A,B) => v3_lattice3(A) ) ) )).
fof(t24_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,k3_yellow_3(A,B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) ) => ( v2_waybel_0(k4_yellow_3(A,B,C),A) & v2_waybel_0(k5_yellow_3(A,B,C),B) ) ) ) ) )).
fof(t24_yellow_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( r2_yellow_0(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B)) & r2_yellow_0(A,B) ) => r3_orders_2(A,k13_lattice3(A,C,k2_yellow_0(A,B)),k2_yellow_0(A,k2_yellow_4(A,k6_domain_1(u1_struct_0(A),C),B))) ) ) ) ) )).
fof(t24_yellow_5,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r2_yellow_5(A,B,C) & r1_orders_2(A,C,D) ) => r2_yellow_5(A,B,D) ) ) ) ) ) )).
fof(t24_yellow_6,axiom,( ! [A] : ! [B] : ( l1_struct_0(B) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m3_yellow_6(C,A,B) <=> ! [D] : ( r2_tarski(D,A) => ( ~ v2_struct_0(k1_funct_1(C,D)) & v4_orders_2(k1_funct_1(C,D)) & v7_waybel_0(k1_funct_1(C,D)) & l1_waybel_0(k1_funct_1(C,D),B) ) ) ) ) ) )).
fof(t24_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k7_lattice3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_lattice3(A))) => k13_lattice3(A,k9_lattice3(A,B),k9_lattice3(A,C)) = k12_lattice3(k7_lattice3(A),B,C) ) ) ) )).
fof(t24_yellow_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v4_yellow_8(A) & l1_pre_topc(A) ) => v6_pre_topc(A) ) )).
fof(t24_yellow_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ( v1_tops_2(k1_cantor_1(u1_struct_0(A),B),A) & v2_cantor_1(k1_cantor_1(u1_struct_0(A),B),A) & m1_subset_1(k1_cantor_1(u1_struct_0(A),B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ) )).
fof(t24_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : k3_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(B,B)),k1_tarski(k4_tarski(B,C))) = k2_tarski(k4_tarski(A,C),k4_tarski(B,C)) )).
fof(t24_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( k1_funct_1(A,1) = k5_numbers => v2_zf_lang(A) ) ) )).
fof(t24_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v8_zf_lang(A) => k21_zf_lang(A) = k19_zf_lang(k21_zf_lang(k19_zf_lang(A))) ) ) )).
fof(t24_zfmisc_1,axiom,( ! [A] : k1_zfmisc_1(k1_tarski(A)) = k2_tarski(k1_xboole_0,k1_tarski(A)) )).
fof(t24_zfmodel2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => r2_zfmodel1(k6_partfun1(A),A) ) )).
fof(t24_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ~ ( r2_ordinal2(A,k1_ordinal1(B)) & ! [C] : ( v3_ordinal1(C) => A != k1_ordinal1(C) ) ) ) ) )).
fof(t24_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( r1_struct_0(B,C) => r1_struct_0(A,C) ) ) ) )).
fof(t24_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_zmodul02(C,A) => ( k18_zmodul02(A,C) = k6_domain_1(u1_struct_0(A),B) => k21_zmodul02(A,C) = k1_zmodul01(A,B,k3_funct_2(u1_struct_0(A),k4_numbers,C,B)) ) ) ) ) )).
fof(t24_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ! [C] : ( m1_zmodul03(C,B) => ! [D] : ( m1_vectsp_6(D,k9_int_3(A),k12_zmodul02(A,B)) => ? [E] : ( m2_zmodul02(E,B,C) & ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r2_tarski(F,C) => k3_funct_2(u1_struct_0(B),k4_numbers,E,F) = k3_funct_2(u1_struct_0(k12_zmodul02(A,B)),u1_struct_0(k9_int_3(A)),D,k13_zmodul02(A,B,F)) ) ) ) ) ) ) ) )).
fof(t24_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul01(B) & m1_zmodul01(B,A) ) => ~ ( B != k3_zmodul01(A) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( r1_struct_0(B,C) & C != k4_struct_0(A) ) ) ) ) ) )).
fof(t24_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_zmodul05(A,B,C))) => k1_funct_1(C,D) = k4_struct_0(B) ) ) ) ) )).
fof(t24_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul03(B) & m1_zmodul01(B,A) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( v1_zmodul02(C,A) & k33_zmodul02(A,C) = k4_zmodul01(B) & r2_tarski(D,C) ) => ( k4_zmodul01(B) = k6_zmodul01(A,k33_zmodul02(A,k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),D))),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),D))) & k7_zmodul01(A,k33_zmodul02(A,k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),D))),k33_zmodul02(A,k6_domain_1(u1_struct_0(A),D))) = k3_zmodul01(A) & v1_zmodul03(k33_zmodul02(A,k7_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),D)))) & v1_zmodul03(k33_zmodul02(A,k6_domain_1(u1_struct_0(A),D))) & D != k4_struct_0(A) ) ) ) ) ) ) )).
fof(t250_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k3_xxreal_1(B,C),k4_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t251_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k1_xxreal_1(B,C),k2_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t252_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(A,B) => r1_tarski(k3_xxreal_1(B,C),k2_xxreal_1(A,k1_xxreal_0)) ) ) ) ) )).
fof(t253_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k1_xxreal_1(B,C),k1_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t254_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k2_xxreal_1(B,C),k1_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t255_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k3_xxreal_1(B,C),k1_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t256_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k4_xxreal_1(B,C),k1_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t257_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k2_xxreal_1(B,C),k2_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t258_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k4_xxreal_1(B,C),k3_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t259_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k3_xxreal_1(B,C),k3_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t25_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_abcmiz_0(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_abcmiz_0(A)) => ! [D] : ( m1_subset_1(D,u1_abcmiz_0(A)) => ( ( r1_abcmiz_0(A,B,C) & r1_abcmiz_0(A,k5_abcmiz_0(A,B,C),D) ) => ( r1_abcmiz_0(A,B,D) & r1_abcmiz_0(A,k5_abcmiz_0(A,B,D),C) & k5_abcmiz_0(A,k5_abcmiz_0(A,B,D),C) = k5_abcmiz_0(A,k5_abcmiz_0(A,B,C),D) ) ) ) ) ) ) )).
fof(t25_abcmiz_1,axiom,( ! [A] : ( v7_ordinal1(A) => r2_hidden(k4_tarski(k1_xboole_0,A),k2_abcmiz_1) ) )).
fof(t25_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( ( v8_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k13_abcmiz_1(A)) ) => ( v7_abcmiz_1(B,A) <=> k1_xfamily(k1_funct_1(B,k1_xboole_0)) = k10_abcmiz_1 ) ) ) )).
fof(t25_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r4_absred_0(A,B,C) & r4_absred_0(A,C,D) ) => r3_absred_0(A,B,D) ) ) ) ) ) )).
fof(t25_aescip_1,axiom,( ! [A] : ( m2_finseq_2(A,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)),k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) => k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k6_aescip_1,k1_aescip_1(4,4,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1))),k4_finseq_2(8,k5_margrel1),k7_aescip_1,A)) = A ) )).
fof(t25_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_1(E,A) & r2_tarski(B,E) & r2_tarski(C,E) & r1_aff_1(A,B,C,D) ) => ( B = C | r2_tarski(D,E) ) ) ) ) ) ) ) )).
fof(t25_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_4(E,A) & v1_aff_4(F,A) & r2_tarski(B,E) & r2_tarski(C,E) & r2_tarski(D,E) & r2_tarski(B,F) & r2_tarski(C,F) & r2_tarski(D,F) ) => ( r1_aff_1(A,B,C,D) | E = F ) ) ) ) ) ) ) ) )).
fof(t25_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => r1_tarski(k10_xtuple_0(B),k10_xtuple_0(k1_ordinal4(A,B))) ) ) )).
fof(t25_afinsq_2,axiom,( ! [A] : ! [B] : ! [C] : ( r1_afinsq_2(B,C) => r1_afinsq_2(k3_xboole_0(A,B),k3_xboole_0(A,C)) ) )).
fof(t25_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u2_incsp_1(k14_afproj(A))) => m1_subset_1(k4_tarski(B,2),u2_incsp_1(k13_afproj(A))) ) ) )).
fof(t25_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( r2_afvect0(A,B,F,D) & r2_afvect0(A,C,F,E) ) => r2_analoaf(A,B,C,E,D) ) ) ) ) ) ) ) )).
fof(t25_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_funct_1(A) => m1_algspec1(k2_funct_1(A),A) ) ) )).
fof(t25_algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k12_algstr_4(A)) => r2_tarski(B,k2_zfmisc_1(k11_algstr_4(A,k2_xfamily(B)),k1_tarski(k2_xfamily(B)))) ) ) )).
fof(t25_altcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_altcat_1(A))) => k4_altcat_1(u1_struct_0(k9_altcat_1(A)),u1_altcat_1(k9_altcat_1(A)),u2_altcat_1(k9_altcat_1(A)),B,B,B) = k18_funcop_1(k4_relat_1(B),k4_relat_1(B),k4_relat_1(B)) ) ) )).
fof(t25_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_altcat_2(B,A) => ( ( u1_struct_0(B) = u1_struct_0(A) & u1_altcat_1(B) = u1_altcat_1(A) ) => g2_altcat_1(u1_struct_0(B),u1_altcat_1(B),u2_altcat_1(B)) = g2_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A)) ) ) ) )).
fof(t25_altcat_3,axiom,( ! [A] : ( l1_altcat_1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v6_altcat_3(B,A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ? [D] : ( m1_subset_1(D,k1_altcat_1(A,B,C)) & r2_tarski(D,k1_altcat_1(A,B,C)) & ! [E] : ( m1_subset_1(E,k1_altcat_1(A,B,C)) => ( r2_tarski(E,k1_altcat_1(A,B,C)) => D = E ) ) ) ) ) ) ) )).
fof(t25_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v16_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_altcat_3(A,D,E) => r2_altcat_3(B,k3_functor0(A,B,C,E),k3_functor0(A,B,C,D)) ) ) ) ) ) ) )).
fof(t25_ami_3,axiom,( ! [A] : ( m1_subset_1(A,u1_compos_1(k1_ami_3)) => ( v2_extpro_1(A,k5_card_1(2),k1_ami_3) => A = k2_compos_1(k1_ami_3) ) ) )).
fof(t25_ami_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_ami_3)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_ami_3)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_ami_3)) & v1_partfun1(B,u1_struct_0(k1_ami_3)) ) => ( ( k5_memstr_0(k5_card_1(2),k1_ami_3,A) = k5_memstr_0(k5_card_1(2),k1_ami_3,B) & ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_ami_3)) ) => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) => A = B ) ) ) )).
fof(t25_ami_6,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_ami_3)) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => k8_compos_0(u1_compos_1(k1_ami_3),k9_ami_3(B,A),C) = k9_ami_3(k2_xcmplx_0(B,C),A) ) ) ) )).
fof(t25_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_compos_1(B)) => v5_ami_wstd(k17_funcop_1(k1_ami_wstd(A,B,k5_numbers),C),A,B) ) ) ) )).
fof(t25_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_analmetr(A,B,C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analmetr(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analmetr(A,B,C))) => r4_analmetr(k2_analmetr(A,B,C),D,E,F,F) ) ) ) ) ) ) ) )).
fof(t25_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_analoaf(A) ) => ( ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = C ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r2_analoaf(A,B,C,D,D) & ( r2_analoaf(A,B,C,C,B) => B = C ) & ( ( r2_analoaf(A,B,C,F,G) & r2_analoaf(A,B,C,H,I) ) => ( B = C | r2_analoaf(A,F,G,H,I) ) ) & ( r2_analoaf(A,B,C,D,E) => r2_analoaf(A,C,B,E,D) ) & ( r2_analoaf(A,B,C,C,D) => r2_analoaf(A,B,C,B,D) ) & ~ ( r2_analoaf(A,B,C,B,D) & ~ r2_analoaf(A,B,C,C,D) & ~ r2_analoaf(A,B,D,D,C) ) ) ) ) ) ) ) ) ) ) & ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & ~ r2_analoaf(A,B,C,D,E) & ~ r2_analoaf(A,B,C,E,D) ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_analoaf(A,B,C,D,E) & r2_analoaf(A,B,D,C,E) & C != E ) ) ) ) & ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( B != D & r2_analoaf(A,D,B,B,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r2_analoaf(A,C,B,B,F) & r2_analoaf(A,C,D,E,F) ) ) ) ) ) ) ) ) <=> ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) ) ) )).
fof(t25_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r1_analort(A,D,E,B,C,k2_analort(A,D,E,B),k2_analort(A,D,E,C)) ) ) ) ) ) )).
fof(t25_anproj_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ~ ( ~ v9_struct_0(B,A) & ~ v9_struct_0(C,A) & ~ v9_struct_0(D,A) & ~ ( r2_hidden(k3_xtuple_0(k2_anproj_1(A,B),k2_anproj_1(A,C),k2_anproj_1(A,D)),u1_collsp(k5_anproj_1(A))) <=> r2_anproj_1(A,B,C,D) ) ) ) ) ) ) )).
fof(t25_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) => v3_anproj_2(k5_anproj_1(A)) ) ) )).
fof(t25_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_unialg_2(C,A) & r1_tarski(B,C) ) => r1_tarski(k3_tarski(a_2_1_aofa_000(A,B)),C) ) ) ) ) )).
fof(t25_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k10_xtuple_0(k8_aofa_a00(A,B,C,D,E,F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H) )).
fof(t25_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,k1_funct_1(u3_msualg_1(A,B),D)) => ! [F] : ( m2_pboole(F,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [G] : ( m1_subset_1(G,u4_struct_0(A)) => ( k1_msualg_1(A,G) = k12_finseq_1(u1_struct_0(A),D) => ! [H] : ( m1_subset_1(H,k3_msualg_1(A,G,B)) => ( H = k12_finseq_1(k1_funct_1(u3_msualg_1(A,B),D),E) => k5_msualg_3(A,B,C,G,F,H) = k12_finseq_1(k1_funct_1(u3_msualg_1(A,C),D),k3_funct_2(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,C),D),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),F,D),E)) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m2_funct_2(C,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [E] : ( ( v1_aofa_i00(E,A,B,D) & m1_aofa_000(E,A,k9_funct_2(B,k4_numbers),D) ) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),E) => ! [G] : ( v1_int_1(G) => ( k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),E,C,k51_aofa_i00(A,B,D,E,F,G)),F) = G & ! [H] : ( m1_subset_1(H,B) => ( H != F => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),E,C,k51_aofa_i00(A,B,D,E,F,G)),H) = k21_aofa_i00(B,k4_numbers,C,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_aofa_l00,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( m3_pboole(C,u1_struct_0(A),u3_msualg_1(A,B)) => ! [D] : ( ( ~ v11_struct_0(D) & v1_instalg1(D) & v2_aofa_l00(D,A) & l1_msualg_1(D) ) => k3_card_3(k2_aofa_l00(C,u1_struct_0(D),k1_xboole_0)) = k3_card_3(C) ) ) ) ) )).
fof(t25_armstrng,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(A),k9_setfam_1(A)))) => r1_relset_1(k9_setfam_1(A),k9_setfam_1(A),k8_armstrng(A,B),B) ) )).
fof(t25_arytm_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => ! [B] : ( m1_subset_1(B,k1_numbers) => k3_arytm_0(k1_arytm_0(A,B)) = k1_arytm_0(k3_arytm_0(A),k3_arytm_0(B)) ) ) )).
fof(t25_arytm_1,axiom,( ! [A] : ( m1_subset_1(A,k2_arytm_2) => ! [B] : ( m1_subset_1(B,k2_arytm_2) => ! [C] : ( m1_subset_1(C,k2_arytm_2) => ( ( r1_arytm_2(A,B) & r1_arytm_2(C,B) ) => k2_arytm_1(k1_arytm_1(B,C),A) = k2_arytm_1(k1_arytm_1(B,A),C) ) ) ) ) )).
fof(t25_arytm_3,axiom,( ! [A] : ( ( v3_ordinal1(A) & v7_ordinal1(A) ) => ! [B] : ( ( v3_ordinal1(B) & v7_ordinal1(B) ) => ~ ( B != k1_xboole_0 & k4_arytm_3(B,A) = k1_xboole_0 ) ) ) )).
fof(t25_asympt_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(1,A) & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & v4_asympt_0(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ~ ( r2_funct_2(k4_ordinal1,k1_numbers,B,k1_asympt_1(k2_xcmplx_0(1,A),1,k5_numbers)) & r1_tarski(k6_asympt_0(k3_asympt_1(8)),k6_asympt_0(B)) & k6_asympt_0(k3_asympt_1(8)) != k6_asympt_0(B) ) ) ) ) )).
fof(t25_autalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_autalg_1(C,u1_struct_0(A),u3_msualg_1(A,B),k5_autalg_1(A,B)) => r2_tarski(k4_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,B),C),k5_autalg_1(A,B)) ) ) ) )).
fof(t25_autgroup,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r2_funct_2(u1_struct_0(A),u1_struct_0(A),k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k2_group_1(A,B))),k6_autgroup(A,k1_group_1(A))) ) ) )).
fof(t25_bagorder,axiom,( ! [A] : ( v3_ordinal1(A) => v2_wellord1(k4_bagorder(A)) ) )).
fof(t25_ballot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => k1_card_1(k2_catalan2(k2_xcmplx_0(A,B),B)) = k4_card_1(k2_ballot_1(k5_numbers,k2_xcmplx_0(A,1),1,B)) ) ) )).
fof(t25_bcialg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k5_bcialg_1(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_bcialg_1(A,k1_bcialg_1(A,D,C),k1_bcialg_1(A,D,B)) = k1_bcialg_1(A,B,C) ) ) ) ) ) )).
fof(t25_bcialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v10_bcialg_1(k2_bcialg_1(A,B),A) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_bcialg_1(A,k2_bcialg_1(A,k1_bcialg_1(A,k1_bcialg_1(A,B,D),k1_bcialg_1(A,C,D)))) = k1_bcialg_1(A,k2_bcialg_1(A,C),k2_bcialg_1(A,B)) ) ) ) ) ) )).
fof(t25_bcialg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( m1_bcialg_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r2_hidden(k1_bcialg_1(A,C,D),B) => r2_hidden(k1_bcialg_1(A,C,k1_bcialg_1(A,D,k1_bcialg_1(A,D,C))),B) ) ) ) ) ) ) )).
fof(t25_bcialg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v2_bcialg_4(A) & l1_bcialg_4(A) ) => k6_bcialg_4(A,k4_struct_0(A),2) = k4_struct_0(A) ) )).
fof(t25_bcialg_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( A = k2_bcialg_5(A,B,C,D) => ( r1_xxreal_0(A,B) & r1_xxreal_0(A,C) & r1_xxreal_0(A,D) ) ) ) ) ) ) )).
fof(t25_bcialg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & l2_bcialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v1_bcialg_6(B,A) => v1_bcialg_6(k2_bcialg_1(A,k2_bcialg_1(A,B)),A) ) ) ) )).
fof(t25_bciideal,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_bcialg_1(A) & v4_bcialg_1(A) & v5_bcialg_1(A) & v7_bcialg_1(A) & v8_bcialg_1(A) & l2_bcialg_1(A) ) => k4_bcialg_1(A) = u1_struct_0(A) ) )).
fof(t25_bhsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_bhsp_1(A,B,C) => k2_bhsp_1(A,k5_algstr_0(A,B,C),k5_algstr_0(A,B,C)) = k2_xcmplx_0(k2_bhsp_1(A,B,B),k2_bhsp_1(A,C,C)) ) ) ) ) )).
fof(t25_bhsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_bhsp_2(D,A) & k1_bhsp_2(A,D) = B & v1_bhsp_2(E,A) & k1_bhsp_2(A,E) = C ) => ( v2_comseq_2(k2_bhsp_2(A,k1_normsp_1(A,D,E))) & k1_seq_2(k2_bhsp_2(A,k1_normsp_1(A,D,E))) = k3_bhsp_1(A,k3_rlvect_1(A,B,C)) ) ) ) ) ) ) ) )).
fof(t25_bhsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_bhsp_3(B,A) & r1_bhsp_3(A,B,C) ) => v2_bhsp_3(C,A) ) ) ) ) )).
fof(t25_bhsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_bhsp_4(B,A) & v2_bhsp_4(C,A) ) => v2_bhsp_4(k6_bhsp_1(A,B,C),A) ) ) ) ) )).
fof(t25_bilinear,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A)))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(C)) => r2_funct_2(u1_struct_0(B),u1_struct_0(A),k8_bilinear(A,B,C,k9_bilinear(A,B,C,D,E),F),k6_hahnban1(A,B,k3_funct_2(u1_struct_0(C),u1_struct_0(A),E,F),D)) ) ) ) ) ) ) )).
fof(t25_binari_3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_binari_3(A,k5_numbers) = k5_euclid(A) ) )).
fof(t25_binari_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,k5_series_1(2,B)) & r1_xxreal_0(k1_binari_4(B,A),B) ) ) ) )).
fof(t25_boolealg,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r3_lattices(A,k7_lattices(A,B),k7_lattices(A,k4_lattices(A,B,C))) ) ) ) )).
fof(t25_borsuk_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v2_compts_1(D,A) => ! [E] : ( m2_connsp_2(E,k2_borsuk_1(A,B),k3_borsuk_1(A,B,D,k6_domain_1(u1_struct_0(B),C))) => ? [F] : ( m2_connsp_2(F,A,D) & ? [G] : ( m1_connsp_2(G,B,C) & r1_tarski(k6_borsuk_1(A,B,D,C,F,G),E) ) ) ) ) ) ) ) ) )).
fof(t25_borsuk_4,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k5_topmetr))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = A => ( v4_xxreal_2(B) & v3_xxreal_2(B) ) ) ) ) )).
fof(t25_borsuk_5,axiom,( ! [A] : ( ( v1_xreal_0(A) & ~ v1_rat_1(A) ) => ~ v1_rat_1(k3_int_1(A)) ) )).
fof(t25_borsuk_6,axiom,( ~ v1_xboole_0(a_0_13_borsuk_6) & v4_pre_topc(a_0_13_borsuk_6,k2_borsuk_1(k5_topmetr,k5_topmetr)) & m1_subset_1(a_0_13_borsuk_6,k1_zfmisc_1(u1_struct_0(k2_borsuk_1(k5_topmetr,k5_topmetr)))) )).
fof(t25_bspace,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,u1_struct_0(k2_bspace)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_bspace(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_bspace(A))) => k3_vectsp_1(k2_bspace,k7_bspace(A),B,k1_algstr_0(k7_bspace(A),C,D)) = k1_algstr_0(k7_bspace(A),k3_vectsp_1(k2_bspace,k7_bspace(A),B,C),k3_vectsp_1(k2_bspace,k7_bspace(A),B,D)) ) ) ) )).
fof(t25_bvfunc11,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k7_bvfunc_2(A,k6_bvfunc_2(A,B,C,D),C,E),k7_bvfunc_2(A,k7_bvfunc_2(A,B,C,D),C,E)) ) ) ) ) ) )).
fof(t25_bvfunc14,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_eqrel_1(G,A) => ( B = k3_enumset1(C,D,E,F,G) => ( C = G | D = G | E = G | F = G | k5_bvfunc_2(A,G,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,C,D),E),F) ) ) ) ) ) ) ) ) ) )).
fof(t25_bvfunc25,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => r2_funct_2(A,k5_margrel1,k5_bvfunc_1(A,k9_bvfunc_1(A,B,C),k9_bvfunc_1(A,k14_margrel1(A,B),C)),k12_bvfunc_1(A)) ) ) ) )).
fof(t25_bvfunc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v3_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k13_bvfunc_1(A,k5_bvfunc_1(A,C,B)),k5_bvfunc_1(A,C,k13_bvfunc_1(A,B))) & r2_funct_2(A,k5_margrel1,k14_bvfunc_1(A,k2_bvfunc_1(A,C,B)),k2_bvfunc_1(A,C,k14_bvfunc_1(A,B))) & r2_funct_2(A,k5_margrel1,k14_bvfunc_1(A,k2_bvfunc_1(A,B,C)),k2_bvfunc_1(A,k14_bvfunc_1(A,B),C)) ) ) ) ) )).
fof(t25_bvfunc_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_partit1(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => ( r3_bvfunc_2(A,D,B,E) => r2_funct_2(A,k5_margrel1,k6_bvfunc_2(A,k2_bvfunc_1(A,D,C),B,E),k2_bvfunc_1(A,D,k6_bvfunc_2(A,C,B,E))) ) ) ) ) ) ) )).
fof(t25_bvfunc_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,k7_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E)),k9_bvfunc_1(A,k6_bvfunc_2(A,C,B,E),k7_bvfunc_2(A,D,B,E))) ) ) ) ) ) )).
fof(t25_bvfunc_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [E] : ( m1_eqrel_1(E,A) => r1_bvfunc_1(A,k9_bvfunc_1(A,k6_bvfunc_2(A,B,D,E),C),k7_bvfunc_2(A,k9_bvfunc_1(A,B,C),D,E)) ) ) ) ) ) )).
fof(t25_bvfunc_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k12_bvfunc_1(A),k9_bvfunc_1(A,k12_bvfunc_1(A),B)),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,B,k12_bvfunc_1(A)) ) ) ) )).
fof(t25_bvfunc_6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,A,k5_margrel1) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k5_margrel1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ( r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k1_bvfunc_1(A,B),C),k12_bvfunc_1(A)) => r2_funct_2(A,k5_margrel1,k9_bvfunc_1(A,k1_bvfunc_1(A,C),B),k12_bvfunc_1(A)) ) ) ) ) )).
fof(t25_c0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => k8_funcop_1(k4_ordinal1,A,k5_numbers) = k4_struct_0(k11_c0sp1(A)) ) )).
fof(t25_c0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => r1_tarski(k13_pre_poly(k20_valued_1(u1_struct_0(A),k1_numbers,k1_numbers,B,C)),k2_xboole_0(k13_pre_poly(B),k13_pre_poly(C))) ) ) ) )).
fof(t25_calcul_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( ( k2_calcul_1(A,D) = k11_cqc_lang(A,C,B) & r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),k2_calcul_1(A,D)) ) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => r10_calcul_1(A,k1_calcul_1(k3_cqc_lang(A),D),k4_substut2(A,B,C,E)) ) ) ) ) ) ) )).
fof(t25_calcul_2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( ( r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),B))) & r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),k6_cqc_lang(A,B)))) ) => r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),D,k12_finseq_1(k3_cqc_lang(A),C))) ) ) ) ) ) )).
fof(t25_card_1,axiom,( ! [A] : ! [B] : ( r1_tarski(k1_zfmisc_1(B),A) => ( r2_tarski(k1_card_1(B),k1_card_1(A)) & ~ r2_wellord2(B,A) ) ) )).
fof(t25_card_2,axiom,( ! [A] : ( v1_card_1(A) => k3_card_2(A,k5_numbers) = 1 ) )).
fof(t25_card_3,axiom,( ! [A] : ! [B] : k3_card_3(k2_card_3(k7_funcop_1(B,A))) = k2_zfmisc_1(A,B) )).
fof(t25_card_5,axiom,( ! [A] : ( v7_ordinal1(A) => ( k1_card_5(k5_numbers) = k5_numbers & k1_card_5(k4_card_1(k1_nat_1(A,1))) = 1 ) ) )).
fof(t25_card_fil,axiom,( v4_card_fil(k4_ordinal1) )).
fof(t25_card_fin,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( k2_card_fin(B,C,A) = k3_tarski(k10_xtuple_0(B)) => ( v1_xboole_0(k3_tarski(k10_xtuple_0(B))) | k5_relat_1(B,k8_relat_1(C,k1_tarski(A))) = k7_funcop_1(k8_relat_1(C,k1_tarski(A)),k3_tarski(k10_xtuple_0(B))) ) ) ) ) )).
fof(t25_card_lar,axiom,( ! [A] : ( ( ~ v1_finset_1(A) & v1_card_1(A) & ~ v4_card_3(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ( r2_tarski(k4_ordinal1,k1_card_5(A)) & v1_card_lar(B,A) ) => v1_card_lar(k2_card_lar(A,B),A) ) ) ) )).
fof(t25_cat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_cat_1(F,A,B,C) => ! [G] : ( m1_cat_1(G,A,C,D) => ! [H] : ( m1_cat_1(H,A,D,E) => ~ ( k2_cat_1(A,B,C) != k1_xboole_0 & k2_cat_1(A,C,D) != k1_xboole_0 & k2_cat_1(A,D,E) != k1_xboole_0 & k5_cat_1(A,B,C,E,F,k5_cat_1(A,C,D,E,G,H)) != k5_cat_1(A,B,D,E,k5_cat_1(A,B,C,D,F,G),H) ) ) ) ) ) ) ) ) ) )).
fof(t25_cat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_cat_2(A,B))) => ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & ? [E] : ( m1_subset_1(E,u1_struct_0(B)) & C = k7_cat_2(A,B,D,E) ) ) ) ) ) )).
fof(t25_cat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_cat_1(E,A,B,C) => ! [F] : ( m1_cat_1(F,A,C,D) => ( ( v2_cat_3(E,A,B,C) & v2_cat_3(F,A,C,D) ) => v2_cat_3(k5_cat_1(A,B,C,D,E,F),A,B,D) ) ) ) ) ) ) ) )).
fof(t25_cat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & v3_cat_4(A) & l1_cat_4(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_cat_1(F,A,D,B) => ! [G] : ( m1_cat_1(G,A,D,C) => ! [H] : ( m1_cat_1(H,A,E,D) => ~ ( k2_cat_1(A,D,B) != k1_xboole_0 & k2_cat_1(A,D,C) != k1_xboole_0 & k2_cat_1(A,E,D) != k1_xboole_0 & k9_cat_4(A,B,C,E,k5_cat_1(A,E,D,B,H,F),k5_cat_1(A,E,D,C,H,G)) != k5_cat_1(A,E,D,k2_cat_4(A,B,C),H,k9_cat_4(A,B,C,D,F,G)) ) ) ) ) ) ) ) ) ) )).
fof(t25_cat_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_cat_1(A,B,C) = k9_subset_1(u4_struct_0(A),k10_cat_5(A,B),k9_cat_5(A,C)) ) ) ) )).
fof(t25_cat_6,axiom,( ! [A] : ( ( v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( ( v10_cat_6(B) & l1_cat_6(B) ) => ( g1_cat_6(u1_struct_0(A),u1_cat_6(A)) = g1_cat_6(u1_struct_0(B),u1_cat_6(B)) => ! [C] : ( m1_subset_1(C,k1_cat_6(A)) => ! [D] : ( m1_subset_1(D,k1_cat_6(B)) => ( C = D => ( v11_cat_6(C,A) <=> v11_cat_6(D,B) ) ) ) ) ) ) ) )).
fof(t25_cat_7,axiom,( ! [A] : ( ( v9_cat_6(A) & v10_cat_6(A) & l1_cat_6(A) ) => ! [B] : ( m1_subset_1(B,k6_cat_6(A)) => ! [C] : ( m1_subset_1(C,k6_cat_6(A)) => ! [D] : ( m1_cat_7(D,A,B,C) => ( v11_cat_6(D,A) => ( k1_cat_7(A,B,C) = k1_xboole_0 | v1_cat_7(D,A,B,C) ) ) ) ) ) ) )).
fof(t25_catalan2,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v5_ordinal1(A) & v1_finset_1(A) ) => ! [B] : ( v7_ordinal1(B) => ~ ( r1_tarski(k2_relset_1(k4_ordinal1,A),k2_tarski(k5_numbers,B)) & ! [C] : ( ( v1_relat_1(C) & v5_relat_1(C,k4_ordinal1) & v1_funct_1(C) & v5_ordinal1(C) & v1_finset_1(C) ) => ~ ( k1_afinsq_1(A) = k1_afinsq_1(C) & r1_tarski(k2_relset_1(k4_ordinal1,C),k2_tarski(k5_numbers,B)) & ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(D,k1_afinsq_1(A)) => k2_xcmplx_0(k7_afinsq_2(k5_relat_1(A,D)),k7_afinsq_2(k5_relat_1(C,D))) = k3_xcmplx_0(B,D) ) ) & ! [D] : ( v7_ordinal1(D) => ( r2_tarski(D,k1_afinsq_1(A)) => k1_recdef_1(C,D) = k6_xcmplx_0(B,k1_recdef_1(A,D)) ) ) ) ) ) ) ) )).
fof(t25_catalg_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( l3_msualg_1(B,k3_catalg_1(A)) => ! [C] : ( m1_subset_1(C,A) => k3_msualg_1(k3_catalg_1(A),k8_catalg_1(A,C),B) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t25_cayldick,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_cayldick(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v4_algstr_0(k5_cayldick(A,B,C),k4_cayldick(A)) => ( v4_algstr_0(B,A) & v4_algstr_0(C,A) ) ) ) ) ) )).
fof(t25_cc0sp1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k7_cc0sp1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k7_cc0sp1(A))) => ( ( k2_normsp_0(k7_cc0sp1(A),C) = k5_numbers => C = k4_struct_0(k7_cc0sp1(A)) ) & ( C = k4_struct_0(k7_cc0sp1(A)) => k2_normsp_0(k7_cc0sp1(A),C) = k5_numbers ) & k2_normsp_0(k7_cc0sp1(A),k1_clvect_1(k7_cc0sp1(A),C,B)) = k3_xcmplx_0(k9_complex1(B),k2_normsp_0(k7_cc0sp1(A),C)) & r1_xxreal_0(k2_normsp_0(k7_cc0sp1(A),k1_algstr_0(k7_cc0sp1(A),C,D)),k2_xcmplx_0(k2_normsp_0(k7_cc0sp1(A),C),k2_normsp_0(k7_cc0sp1(A),D))) ) ) ) ) ) )).
fof(t25_cc0sp2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_compts_1(A) & l1_pre_topc(A) ) => k2_normsp_0(k5_cc0sp2(A),k4_struct_0(k5_cc0sp2(A))) = k5_numbers ) )).
fof(t25_cfcont_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ~ ( v2_comseq_2(A) & k3_comseq_2(A) != k5_numbers & ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ~ ( m2_valued_0(B,k2_numbers,A) & v9_ordinal1(B) ) ) ) ) )).
fof(t25_cfdiff_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_numbers,k2_numbers))) ) => ! [C] : ( v1_xcmplx_0(C) => ( r1_cfdiff_1(B,C) => ( r1_cfdiff_1(k25_valued_1(k2_numbers,k2_numbers,B,A),C) & k2_cfdiff_1(k25_valued_1(k2_numbers,k2_numbers,B,A),C) = k3_xcmplx_0(A,k2_cfdiff_1(B,C)) ) ) ) ) ) )).
fof(t25_cfuncdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ( ~ v2_struct_0(k7_cfuncdom(A)) & v13_algstr_0(k7_cfuncdom(A)) & v2_rlvect_1(k7_cfuncdom(A)) & v3_rlvect_1(k7_cfuncdom(A)) & v4_rlvect_1(k7_cfuncdom(A)) & v4_vectsp_1(k7_cfuncdom(A)) & v5_vectsp_1(k7_cfuncdom(A)) & v3_group_1(k7_cfuncdom(A)) & v5_group_1(k7_cfuncdom(A)) & l6_algstr_0(k7_cfuncdom(A)) ) ) )).
fof(t25_cfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => r2_relset_1(A,k2_numbers,k46_valued_1(A,k2_numbers,k2_numbers,B,k2_valued_1(A,k2_numbers,k2_numbers,C,D)),k46_valued_1(A,k2_numbers,k2_numbers,k46_valued_1(A,k2_numbers,k2_numbers,B,C),D)) ) ) ) ) )).
fof(t25_cgames_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v3_cgames_1(A) & v4_cgames_1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ( v1_relat_1(k16_finseq_1(B,A)) & v1_funct_1(k16_finseq_1(B,A)) & ~ v1_xboole_0(k16_finseq_1(B,A)) & v1_finseq_1(k16_finseq_1(B,A)) & v3_cgames_1(k16_finseq_1(B,A)) & v4_cgames_1(k16_finseq_1(B,A)) ) ) ) )).
fof(t25_chain_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( ~ ! [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) => r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) => ( r2_tarski(D,k3_chain_1(A,B,C)) <=> ? [E] : ( m2_subset_1(E,k4_ordinal1,k2_finseq_1(A)) & ~ r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) & ( r1_xxreal_0(k1_funct_1(D,E),k1_funct_1(C,E)) | r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(D,E)) ) ) ) ) ) ) ) ) )).
fof(t25_chord,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ! [C] : ( ( v7_ordinal1(C) & ~ v1_abian(C) ) => ! [D] : ( ( v7_ordinal1(D) & ~ v1_abian(D) ) => ~ ( r1_xxreal_0(C,k3_finseq_1(B)) & r1_xxreal_0(D,k3_finseq_1(B)) & k1_funct_1(B,C) = k1_funct_1(B,D) & C != D & ~ ( C = 1 & D = k3_finseq_1(B) ) & ~ ( C = k3_finseq_1(B) & D = 1 ) ) ) ) ) ) )).
fof(t25_circcmb3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_finseq_2(A,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(A,B),B))) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) & v3_card_1(D,A) & v1_finseq_1(D) ) => m1_circcmb3(k5_circcomb(C,D),B) ) ) ) ) )).
fof(t25_circcomb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(A,C))) => ! [E] : ( ( v4_msualg_1(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( m1_subset_1(F,k4_card_3(u3_msualg_1(B,E))) => ( r1_partfun1(u3_msualg_1(A,C),u3_msualg_1(B,E)) => r2_tarski(k1_funct_4(D,F),k4_card_3(u3_msualg_1(k2_circcomb(A,B),k3_circcomb(A,B,C,E)))) ) ) ) ) ) ) ) )).
fof(t25_circled1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_rlvect_2(D,A,k7_domain_1(u1_struct_0(A),B,C)) => ( v1_circled1(D,A) => ( B = C | ( k3_real_1(k3_funct_2(u1_struct_0(A),k1_numbers,D,B),k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) = 1 & r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k1_numbers,D,B)) & r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k1_numbers,D,C)) & k6_rlvect_2(A,D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k3_funct_2(u1_struct_0(A),k1_numbers,D,B)),k1_rlvect_1(A,C,k3_funct_2(u1_struct_0(A),k1_numbers,D,C))) ) ) ) ) ) ) ) )).
fof(t25_circtrm1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => r1_circtrm1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u4_struct_0(A))) ) )).
fof(t25_classes1,axiom,( ! [A] : ! [B] : ~ ( r2_tarski(B,k1_classes1(A)) & r3_tarski(B,k1_classes1(A)) ) )).
fof(t25_classes2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v2_classes1(B) & r2_tarski(A,k2_ordinal1(B)) ) => ( r2_tarski(k1_card_1(k4_classes1(A)),k1_card_1(B)) & r2_tarski(k4_classes1(A),B) ) ) ) )).
fof(t25_clopban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => k4_struct_0(k9_clopban1(A,B)) = k8_funcop_1(u1_struct_0(B),u1_struct_0(A),k4_struct_0(B)) ) ) )).
fof(t25_clopban3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),D),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),D),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) ) ) ) ) ) )).
fof(t25_clopban4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & v2_cfuncdom(A) & v5_clopban2(A) & l1_clopban2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => k5_algstr_0(A,k6_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,C)),B),k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,D)),B)),k1_normsp_0(A,k1_bhsp_4(A,k1_clopban4(A,k3_rlvect_1(A,C,D))),B)) = k1_normsp_0(A,k1_bhsp_4(A,k5_clopban4(A,C,D,B)),B) ) ) ) ) ) )).
fof(t25_closure1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,B) & v1_funct_1(C) & v1_partfun1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ! [E] : ( m2_pboole(E,B,k5_mssubfam(B,C),k5_mssubfam(B,C)) => ( ( v2_closure1(E,B,C) & r2_tarski(A,B) & D = k1_funct_1(E,A) ) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(k1_funct_1(C,A)),k9_setfam_1(k1_funct_1(C,A))) => ! [G] : ( m2_subset_1(G,k1_zfmisc_1(k1_funct_1(C,A)),k9_setfam_1(k1_funct_1(C,A))) => ( r1_tarski(F,G) => r1_tarski(k1_funct_1(D,F),k1_funct_1(D,G)) ) ) ) ) ) ) ) )).
fof(t25_closure2,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => r6_pboole(A,k5_closure2(A,B,k2_closure2(A,B)),k5_mssubfam(A,B)) ) )).
fof(t25_clvect_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & l1_clvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( v6_clvect_1(B,A) & v6_clvect_1(C,A) & D = a_3_0_clvect_1(A,B,C) ) => v6_clvect_1(D,A) ) ) ) ) ) )).
fof(t25_clvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_clvect_2(D,A) & k1_clvect_2(A,D) = B & v1_clvect_2(E,A) & k1_clvect_2(A,E) = C ) => ( v2_comseq_2(k2_clvect_2(A,k14_csspace(A,D,E))) & k1_seq_2(k2_clvect_2(A,k14_csspace(A,D,E))) = k11_csspace(A,k3_rlvect_1(A,B,C)) ) ) ) ) ) ) ) )).
fof(t25_clvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_clvect_3(B,A) & v2_clvect_3(C,A) ) => v2_clvect_3(k14_csspace(A,B,C),A) ) ) ) ) )).
fof(t25_coh_sp,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k5_coh_sp(A)) => ( k9_coh_sp(A,k8_coh_sp(A,k6_coh_sp(A,B)),B) = B & k9_coh_sp(A,B,k8_coh_sp(A,k7_coh_sp(A,B))) = B ) ) )).
fof(t25_cohsp_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v6_cohsp_1(A) ) => ! [B] : ! [C] : ( ( r2_tarski(C,k9_xtuple_0(A)) & r1_tarski(B,C) & v1_finset_1(C) ) => ! [D] : ( r2_hidden(k4_tarski(B,D),k5_cohsp_1(A)) => r2_hidden(k4_tarski(C,D),k5_cohsp_1(A)) ) ) ) )).
fof(t25_combgras,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ( k1_card_1(B) = k1_nat_1(A,1) => ( r1_xxreal_0(A,1) | ! [C] : ( l1_combgras(C,k1_combgras(A,B),k1_combgras(A,B)) => ~ ( v7_combgras(C,k1_combgras(A,B)) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => g1_combgras(k1_combgras(A,B),k1_combgras(A,B),u1_combgras(k1_combgras(A,B),k1_combgras(A,B),C),u2_combgras(k1_combgras(A,B),k1_combgras(A,B),C)) != k8_combgras(A,B,D) ) ) ) ) ) ) ) )).
fof(t25_compl_sp,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v2_prob_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ~ ( ! [D] : ( v7_ordinal1(D) => r2_tarski(k8_nat_1(A,C,D),k8_nat_1(k9_setfam_1(A),B,D)) ) & v1_finset_1(k2_relset_1(A,C)) & v1_xboole_0(k2_kurato_0(A,B)) ) ) ) ) ) )).
fof(t25_complex2,axiom,( ! [A] : ( m1_subset_1(A,k2_numbers) => ( A != k5_numbers => ( k19_sin_cos(k1_comptrig(k4_xcmplx_0(A))) = k4_xcmplx_0(k19_sin_cos(k1_comptrig(A))) & k17_sin_cos(k1_comptrig(k4_xcmplx_0(A))) = k4_xcmplx_0(k17_sin_cos(k1_comptrig(A))) ) ) ) )).
fof(t25_complfld,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k1_complfld)) => ( A != k4_struct_0(k1_complfld) => k12_algstr_0(k1_complfld,k4_struct_0(k1_complfld),A) = k4_struct_0(k1_complfld) ) ) )).
fof(t25_complsp2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_valued_0(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_valued_0(C) ) => ( k3_finseq_1(B) = k3_finseq_1(C) => k9_matrix_5(k45_valued_1(B,C),A) = k6_xcmplx_0(k9_matrix_5(B,A),k9_matrix_5(C,A)) ) ) ) ) )).
fof(t25_compos_2,axiom,( ! [A] : ( ( v1_amistd_4(A) & l1_compos_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(A)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,A) & v4_compos_1(B,A) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,A) & v4_compos_1(C,A) ) => ( r2_compos_2(B,C) => ! [D] : ( r1_tarski(C,D) => r1_compos_2(B,D) ) ) ) ) ) )).
fof(t25_comptrig,axiom,( v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,k18_sin_cos,k1_rcomp_1(k5_numbers,k28_sin_cos))) )).
fof(t25_comput_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v2_margrel1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A),A))) ) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( k1_relset_1(k3_finseq_2(A),B) = k4_finseq_2(C,A) => k18_margrel1(B) = C ) ) ) ) )).
fof(t25_comseq_1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k2_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => r2_relset_1(k4_ordinal1,k2_numbers,k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,B,C)),k46_valued_1(k4_ordinal1,k2_numbers,k2_numbers,k2_valued_1(k4_ordinal1,k2_numbers,k2_numbers,A,B),C)) ) ) ) )).
fof(t25_comseq_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k2_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k2_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => k8_nat_1(k2_numbers,A,B) = k5_complex1 ) => ! [B] : ( v7_ordinal1(B) => k8_nat_1(k1_numbers,k3_series_1(k55_valued_1(k4_ordinal1,k2_numbers,A)),B) = k5_numbers ) ) ) )).
fof(t25_conlat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_conlat_1(A) ) => ! [B] : ( ( v3_conlat_1(B,A) & ~ v4_conlat_1(B,A) & v6_conlat_1(B,A) & l2_conlat_1(B,A) ) => ( ( u2_conlat_1(A,B) = k1_xboole_0 => B = k6_conlat_1(A) ) & ( u3_conlat_1(A,B) = k1_xboole_0 => B = k5_conlat_1(A) ) ) ) ) )).
fof(t25_connsp_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => v2_connsp_1(C,A) ) ) => ( ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( C != k1_struct_0(A) & r2_tarski(C,B) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r2_tarski(D,B) & D != C & r1_connsp_1(A,C,D) ) ) ) ) | v2_connsp_1(k5_setfam_1(u1_struct_0(A),B),A) ) ) ) ) )).
fof(t25_connsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v4_pre_topc(k1_connsp_2(A,B),A) ) ) )).
fof(t25_connsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( m1_connsp_3(B,A) & m1_connsp_3(C,A) ) => m1_connsp_3(k7_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t25_convex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_rlvect_2(D,A,k7_domain_1(u1_struct_0(A),B,C)) => ( v2_convex1(D,A) => ( B = C | ( k2_xcmplx_0(k1_funct_1(D,B),k1_funct_1(D,C)) = 1 & r1_xxreal_0(k5_numbers,k1_funct_1(D,B)) & r1_xxreal_0(k5_numbers,k1_funct_1(D,C)) & k6_rlvect_2(A,D) = k3_rlvect_1(A,k1_rlvect_1(A,B,k1_funct_1(D,B)),k1_rlvect_1(A,C,k1_funct_1(D,C))) ) ) ) ) ) ) ) )).
fof(t25_convex4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_clvect_1(A) ) => ! [B] : ( m1_convex4(B,A) => r1_convex4(A,k7_convex4(A,k5_complex1,B),k2_convex4(A)) ) ) )).
fof(t25_cqc_lang,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ( B != C => k13_cqc_lang(A,k15_qc_lang1(A,B,D),C) = k15_qc_lang1(A,B,k13_cqc_lang(A,D,C)) ) ) ) ) ) )).
fof(t25_cqc_sim1,axiom,( ! [A] : ( m1_qc_lang1(A) => k14_cqc_sim1(A,k5_cqc_lang(A)) = k5_cqc_lang(A) ) )).
fof(t25_cqc_the1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m2_finseq_1(C,k2_zfmisc_1(k3_cqc_lang(A),k2_cqc_the1)) => ( r2_cqc_the1(A,B,C) => r1_xxreal_0(1,k3_finseq_1(C)) ) ) ) ) )).
fof(t25_cqc_the2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m1_subset_1(D,k9_qc_lang1(A)) => ! [E] : ( m2_subset_1(E,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [F] : ( m2_subset_1(F,k2_qc_lang1(A),k3_qc_lang1(A)) => ( ( B = k13_cqc_lang(A,D,E) & C = k13_cqc_lang(A,D,F) ) => ( r2_tarski(E,k24_qc_lang1(A,D)) | v2_cqc_the1(k8_cqc_lang(A,k11_cqc_lang(A,E,B),C),A) ) ) ) ) ) ) ) ) )).
fof(t25_cqc_the3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_cqc_lang(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k3_cqc_lang(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k3_cqc_lang(A))) => ( r4_cqc_the3(A,C,D) => r4_cqc_the3(A,k4_subset_1(k3_cqc_lang(A),C,B),k4_subset_1(k3_cqc_lang(A),D,B)) ) ) ) ) ) )).
fof(t25_csspace,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v2_csspace(A) & l1_csspace(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_csspace(A,k4_algstr_0(A,B),k4_algstr_0(A,C)) = k10_csspace(A,B,C) ) ) ) )).
fof(t25_csspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_csspace4(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_csspace4(A,B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k9_csspace4(A,B))) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,A,u1_struct_0(B)) & v1_csspace4(F,A,B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,A,u1_struct_0(B)) & v1_csspace4(G,A,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,u1_struct_0(B)) & v1_csspace4(H,A,B) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ( ( F = C & G = D & H = E ) => ( E = k5_algstr_0(k9_csspace4(A,B),C,D) <=> ! [I] : ( m1_subset_1(I,A) => k3_funct_2(A,u1_struct_0(B),H,I) = k5_algstr_0(B,k3_funct_2(A,u1_struct_0(B),F,I),k3_funct_2(A,u1_struct_0(B),G,I)) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_dblseq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_ordinal1),k1_numbers))) ) => ( v3_dblseq_1(k4_dblseq_2(A)) => ! [B] : ( v7_ordinal1(B) => k3_funct_2(k4_ordinal1,k1_numbers,k3_dblseq_1(k4_dblseq_2(A)),k1_nat_1(B,1)) = k2_xcmplx_0(k8_nat_1(k1_numbers,k3_dblseq_1(k4_dblseq_2(A)),B),k3_funct_2(k4_ordinal1,k1_numbers,k3_dblseq_1(k2_dblseq_2(A)),k1_nat_1(B,1))) ) ) ) )).
fof(t25_decomp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v5_pre_topc(C,A,B) <=> ( v7_decomp_1(C,A,B) & v10_decomp_1(C,A,B) ) ) ) ) ) )).
fof(t25_descip_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ! [G] : ( m1_subset_1(G,A) => ! [H] : ( m1_subset_1(H,A) => ! [I] : ( m1_subset_1(I,A) => ! [J] : ( m1_subset_1(J,A) => ! [K] : ( m1_subset_1(K,A) => ! [L] : ( m1_subset_1(L,A) => ! [M] : ( m1_subset_1(M,A) => ! [N] : ( m1_subset_1(N,A) => ! [O] : ( m1_subset_1(O,A) => ! [P] : ( m1_subset_1(P,A) => ! [Q] : ( m1_subset_1(Q,A) => ! [R] : ( m1_subset_1(R,A) => ! [S] : ( m1_subset_1(S,A) => ! [T] : ( m1_subset_1(T,A) => ! [U] : ( m1_subset_1(U,A) => ! [V] : ( m1_subset_1(V,A) => ! [W] : ( m1_subset_1(W,A) => ! [X] : ( m1_subset_1(X,A) => ! [Y] : ( m1_subset_1(Y,A) => ! [Z] : ( m1_subset_1(Z,A) => ! [A1] : ( m1_subset_1(A1,A) => ! [B1] : ( m1_subset_1(B1,A) => ! [C1] : ( m1_subset_1(C1,A) => ! [D1] : ( m1_subset_1(D1,A) => ! [E1] : ( m1_subset_1(E1,A) => ! [F1] : ( m1_subset_1(F1,A) => ! [G1] : ( m1_subset_1(G1,A) => ! [H1] : ( m1_subset_1(H1,A) => ! [I1] : ( m1_subset_1(I1,A) => ! [J1] : ( m1_subset_1(J1,A) => ! [K1] : ( m1_subset_1(K1,A) => ! [L1] : ( m1_subset_1(L1,A) => ! [M1] : ( m1_subset_1(M1,A) => ! [N1] : ( m1_subset_1(N1,A) => ! [O1] : ( m1_subset_1(O1,A) => ! [P1] : ( m1_subset_1(P1,A) => ! [Q1] : ( m1_subset_1(Q1,A) => ! [R1] : ( m1_subset_1(R1,A) => ! [S1] : ( m1_subset_1(S1,A) => ! [T1] : ( m1_subset_1(T1,A) => ! [U1] : ( m1_subset_1(U1,A) => ! [V1] : ( m1_subset_1(V1,A) => ! [W1] : ( m1_subset_1(W1,A) => ! [X1] : ( m1_subset_1(X1,A) => ! [Y1] : ( m1_subset_1(Y1,A) => ! [Z1] : ( m1_subset_1(Z1,A) => ! [A2] : ( m1_subset_1(A2,A) => ! [B2] : ( m1_subset_1(B2,A) => ! [C2] : ( m1_subset_1(C2,A) => ! [D2] : ( m1_subset_1(D2,A) => ! [E2] : ( m1_subset_1(E2,A) => ! [F2] : ( m1_subset_1(F2,A) => ! [G2] : ( m1_subset_1(G2,A) => ! [H2] : ( m1_subset_1(H2,A) => ! [I2] : ( m1_subset_1(I2,A) => ! [J2] : ( m1_subset_1(J2,A) => ! [K2] : ( m1_subset_1(K2,A) => ! [L2] : ( m1_subset_1(L2,A) => ! [M2] : ( m1_subset_1(M2,A) => ? [N2] : ( m2_finseq_1(N2,A) & v3_card_1(N2,64) & k1_funct_1(N2,1) = B & k1_funct_1(N2,2) = C & k1_funct_1(N2,3) = D & k1_funct_1(N2,4) = E & k1_funct_1(N2,5) = F & k1_funct_1(N2,6) = G & k1_funct_1(N2,7) = H & k1_funct_1(N2,8) = I & k1_funct_1(N2,9) = J & k1_funct_1(N2,10) = K & k1_funct_1(N2,11) = L & k1_funct_1(N2,12) = M & k1_funct_1(N2,13) = N & k1_funct_1(N2,14) = O & k1_funct_1(N2,15) = P & k1_funct_1(N2,16) = Q & k1_funct_1(N2,17) = R & k1_funct_1(N2,18) = S & k1_funct_1(N2,19) = T & k1_funct_1(N2,20) = U & k1_funct_1(N2,21) = V & k1_funct_1(N2,22) = W & k1_funct_1(N2,23) = X & k1_funct_1(N2,24) = Y & k1_funct_1(N2,25) = Z & k1_funct_1(N2,26) = A1 & k1_funct_1(N2,27) = B1 & k1_funct_1(N2,28) = C1 & k1_funct_1(N2,29) = D1 & k1_funct_1(N2,30) = E1 & k1_funct_1(N2,31) = F1 & k1_funct_1(N2,32) = G1 & k1_funct_1(N2,33) = H1 & k1_funct_1(N2,34) = I1 & k1_funct_1(N2,35) = J1 & k1_funct_1(N2,36) = K1 & k1_funct_1(N2,37) = L1 & k1_funct_1(N2,38) = M1 & k1_funct_1(N2,39) = N1 & k1_funct_1(N2,40) = O1 & k1_funct_1(N2,41) = P1 & k1_funct_1(N2,42) = Q1 & k1_funct_1(N2,43) = R1 & k1_funct_1(N2,44) = S1 & k1_funct_1(N2,45) = T1 & k1_funct_1(N2,46) = U1 & k1_funct_1(N2,47) = V1 & k1_funct_1(N2,48) = W1 & k1_funct_1(N2,49) = X1 & k1_funct_1(N2,50) = Y1 & k1_funct_1(N2,51) = Z1 & k1_funct_1(N2,52) = A2 & k1_funct_1(N2,53) = B2 & k1_funct_1(N2,54) = C2 & k1_funct_1(N2,55) = D2 & k1_funct_1(N2,56) = E2 & k1_funct_1(N2,57) = F2 & k1_funct_1(N2,58) = G2 & k1_funct_1(N2,59) = H2 & k1_funct_1(N2,60) = I2 & k1_funct_1(N2,61) = J2 & k1_funct_1(N2,62) = K2 & k1_funct_1(N2,63) = L2 & k1_funct_1(N2,64) = M2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_dickson,axiom,( ! [A] : ( l1_orders_2(A) => r1_dickson(A,k1_subset_1(u1_struct_0(A)),k1_xboole_0) ) )).
fof(t25_diff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k8_diff_1(C,A),1),B) = k6_xcmplx_0(k1_funct_1(k2_diff_1(C,k7_xcmplx_0(A,2)),B),k1_funct_1(k2_diff_1(C,k4_xcmplx_0(k7_xcmplx_0(A,2))),B)) ) ) ) )).
fof(t25_diff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k1_funct_1(k4_diff_1(k1_fcont_1(B,C),A),D) = k3_xcmplx_0(B,A) ) ) ) ) )).
fof(t25_diff_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_numbers,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k1_numbers,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => k9_diff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,C,D),A,B) = k6_xcmplx_0(k9_diff_1(C,A,B),k9_diff_1(D,A,B)) ) ) ) ) )).
fof(t25_diff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( ( r2_tarski(k2_xcmplx_0(B,k7_xcmplx_0(A,2)),k1_relset_1(k1_numbers,k26_sin_cos)) & r2_tarski(k6_xcmplx_0(B,k7_xcmplx_0(A,2)),k1_relset_1(k1_numbers,k26_sin_cos)) ) => k1_funct_1(k5_diff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k26_sin_cos),k18_sin_cos),A),B) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),k2_xcmplx_0(B,k7_xcmplx_0(A,2))),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k16_sin_cos),k6_xcmplx_0(B,k7_xcmplx_0(A,2)))) ) ) ) )).
fof(t25_dilworth,axiom,( ! [A] : ( ( v4_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r3_waybel_4(A,k4_dilworth(A,C),B) => r3_waybel_4(A,k2_struct_0(A),B) ) ) ) ) )).
fof(t25_diraf,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ? [E] : ( m1_subset_1(E,u1_struct_0(A)) & r2_diraf(A,B,D,C,E) & C != E ) ) ) ) ) )).
fof(t25_dist_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_setfam_1(B) & m2_subset_1(B,k1_zfmisc_1(k3_finseq_2(A)),k6_dist_1(A)) ) => ! [C] : ( m1_dist_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k5_margrel1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,k5_margrel1) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k5_margrel1))) ) => k4_dist_2(A,B,C,k2_bvfunc_1(A,D,E)) = k7_xcmplx_0(k4_card_1(k9_subset_1(k9_xtuple_0(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,C,E)),k3_dist_2(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,C,D)),k3_dist_2(k1_partfun1(k4_ordinal1,A,A,k5_margrel1,C,E)))),k3_finseq_1(C)) ) ) ) ) ) )).
fof(t25_domain_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ~ v1_xboole_0(D) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(A)) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(B)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(C)) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(D)) => k10_mcart_1(A,B,C,D,E,F,G,H) = a_8_0_domain_1(A,B,C,D,E,F,G,H) ) ) ) ) ) ) ) ) )).
fof(t25_dualsp01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => k8_funcop_1(k4_ordinal1,u1_struct_0(A),k5_numbers) = k4_struct_0(k17_dualsp01(A)) ) )).
fof(t25_dualsp02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_lopban_1(C,A,B) & v2_lopban_1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),k1_numbers) & v2_hahnban(D,B) & v3_hahnban(D,B) & v1_dualsp01(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),k1_numbers))) ) => ( v1_funct_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D)) & v1_funct_2(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D),u1_struct_0(A),k1_numbers) & v2_hahnban(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D),A) & v3_hahnban(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D),A) & v1_dualsp01(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D),A) & m1_subset_1(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),k1_numbers,C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) ) )).
fof(t25_e_siec,axiom,( ! [A] : ( ( v2_e_siec(A) & v3_e_siec(A) & l1_e_siec(A) ) => ( k3_relat_1(k2_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A)))),k2_relat_1(k4_xboole_0(u2_e_siec(A),k4_relat_1(u1_struct_0(A))))) = k1_xboole_0 & k3_relat_1(k2_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A)))),k2_relat_1(k4_xboole_0(u1_e_siec(A),k4_relat_1(u1_struct_0(A))))) = k1_xboole_0 ) ) )).
fof(t25_ec_pf_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(B))) => ~ ( C != k5_numbers & k2_binom(k9_int_3(B),C,A) = k5_numbers ) ) ) ) )).
fof(t25_ec_pf_2,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k9_int_3(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k9_int_3(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k9_int_3(A))) => ( B = k5_int_1(2,A) => k2_binom(k9_int_3(A),k3_rlvect_1(k9_int_3(A),C,D),2) = k3_rlvect_1(k9_int_3(A),k3_rlvect_1(k9_int_3(A),k2_binom(k9_int_3(A),C,2),k8_group_1(k9_int_3(A),k8_group_1(k9_int_3(A),B,C),D)),k2_binom(k9_int_3(A),D,2)) ) ) ) ) ) )).
fof(t25_ens_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u4_struct_0(k11_ens_1(A))) => m1_subset_1(B,k2_ens_1(A)) ) ) )).
fof(t25_entropy1,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( B = k1_entropy1(A) <=> ( k3_finseq_1(B) = k3_finseq_1(A) & k1_matrix_0(B) = k3_finseq_1(A) & ! [C] : ( v7_ordinal1(C) => ( r2_tarski(C,k4_finseq_1(B)) => ( r1_entropy1(k7_matrix_0(k1_numbers,B,C),C) & k1_funct_1(k7_matrix_0(k1_numbers,B,C),C) = k1_funct_1(A,C) ) ) ) ) ) ) ) )).
fof(t25_enumset1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_enumset1(E,F,G,H)) )).
fof(t25_eqrel_1,axiom,( ! [A] : ! [B] : ( r2_hidden(B,A) => k6_eqrel_1(A,A,k6_partfun1(A),B) = k1_tarski(B) ) )).
fof(t25_equation,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_pralg_2(D,B,A) => ~ ( ! [E] : ( m1_subset_1(E,B) => ? [F] : ( v3_msualg_1(F,A) & v4_msualg_1(F,A) & v3_msafree2(F,A) & m1_msualg_2(F,A,C) & F = k5_pralg_2(B,A,D,E) ) ) & ! [E] : ( ( v3_msualg_1(E,A) & v4_msualg_1(E,A) & v3_msafree2(E,A) & m1_msualg_2(E,A,C) ) => ~ ! [F] : ( m1_subset_1(F,B) => m1_msualg_2(k5_pralg_2(B,A,D,F),A,E) ) ) ) ) ) ) ) )).
fof(t25_euclid,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => k13_rvsum_1(A,k10_euclid(A,B)) = k11_euclid(A,B) ) ) )).
fof(t25_euclid10,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k2_xcmplx_0(k2_xcmplx_0(A,B),C) = k28_sin_cos => k6_xcmplx_0(k2_xcmplx_0(k1_square_1(k17_sin_cos(A)),k1_square_1(k17_sin_cos(B))),k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(2,k17_sin_cos(A)),k17_sin_cos(B)),k19_sin_cos(C))) = k1_square_1(k17_sin_cos(C)) ) ) ) ) )).
fof(t25_euclid_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => k22_rvsum_1(k3_rlvect_1(k15_euclid(A),k1_rlvect_1(k15_euclid(A),D,B),k1_rlvect_1(k15_euclid(A),E,C)),F) = k2_xcmplx_0(k3_xcmplx_0(B,k22_rvsum_1(D,F)),k3_xcmplx_0(C,k22_rvsum_1(E,F))) ) ) ) ) ) ) )).
fof(t25_euclid_3,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => k9_complex1(k2_euclid_3(A)) = k12_euclid(A) ) )).
fof(t25_euclid_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(A)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k1_euclid(A)) => k22_rvsum_1(k6_euclid(A,B),k6_euclid(A,C)) = k22_rvsum_1(B,C) ) ) ) )).
fof(t25_euclid_5,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(3))) => k5_euclid_5(A,A) = k4_struct_0(k15_euclid(3)) ) )).
fof(t25_euclid_6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(D,k1_rltopsp1(k15_euclid(2),A,B)) & k4_euclid_3(A,C,B) = k4_euclid_3(D,C,B) ) => ( r1_rltopsp1(k15_euclid(2),A,B,C) | D = A ) ) ) ) ) ) )).
fof(t25_euclid_7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(B,A) & k6_euclid_7(A,B) = k6_euclid_7(A,C) ) => B = C ) ) ) ) )).
fof(t25_euclid_8,axiom,( ! [A] : ( v1_xreal_0(A) => k9_euclid(3,k2_euclid_8,A) = k1_euclid_8(A,k5_numbers,k5_numbers) ) )).
fof(t25_euclid_9,axiom,( ! [A] : ( v7_ordinal1(A) => k1_funct_2(k2_finseq_1(A),k1_numbers) = k4_card_3(k12_pralg_1(k1_finseq_1(A),k7_funcop_1(k2_finseq_1(A),k3_topmetr))) ) )).
fof(t25_euclidlp,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( m2_finseq_2(F,k1_numbers,k1_euclid(E)) => ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(E)) => k8_euclid(E,k7_euclid(E,k9_euclid(E,F,A),k9_euclid(E,G,B)),k7_euclid(E,k9_euclid(E,F,C),k9_euclid(E,G,D))) = k7_euclid(E,k9_euclid(E,F,k6_xcmplx_0(A,C)),k9_euclid(E,G,k6_xcmplx_0(B,D))) ) ) ) ) ) ) ) )).
fof(t25_exchsort,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_exchsort(A) ) => ( ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(B,k9_xtuple_0(A)) & r2_tarski(k1_ordinal1(B),k9_xtuple_0(A)) ) => r2_xboole_0(k1_funct_1(A,k1_ordinal1(B)),k1_funct_1(A,B)) ) ) => v4_exchsort(A) ) ) )).
fof(t25_extpro_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v1_xboole_0(B) & ~ v1_setfam_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_memstr_0(C,B) & v3_memstr_0(C,B) & v3_extpro_1(C,B) & l1_extpro_1(C,B) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(C)) & v1_funct_1(D) ) => ! [E] : ( ( v1_relat_1(E) & v4_relat_1(E,u1_struct_0(C)) & v1_funct_1(E) & v5_funct_1(E,k2_memstr_0(B,C)) & v1_partfun1(E,u1_struct_0(C)) ) => ( ( r1_xxreal_0(k8_extpro_1(B,C,D,E),A) & r1_extpro_1(B,C,D,E) ) => k5_extpro_1(B,C,D,E,A) = k5_extpro_1(B,C,D,E,k8_extpro_1(B,C,D,E)) ) ) ) ) ) ) )).
fof(t25_extreal1,axiom,( ! [A] : ( v1_xxreal_0(A) => ~ ( ~ r1_xxreal_0(A,k2_supinf_1) & ~ r1_xxreal_0(k1_supinf_1,A) & A != k5_numbers & k1_extreal1(k3_extreal1(A),k3_extreal1(k2_extreal1(k18_supinf_2,A))) != k18_supinf_2 ) ) )).
fof(t25_facirc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v1_circcomb(A) & v2_circcomb(A) & v3_circcomb(A) & l1_msualg_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v1_circcomb(B) & v2_circcomb(B) & v3_circcomb(B) & l1_msualg_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v1_circcomb(C) & v2_circcomb(C) & v3_circcomb(C) & l1_msualg_1(C) ) => ! [D] : ( ( v4_msafree2(D,A) & v6_circcomb(D,A) & l3_msualg_1(D,A) ) => ! [E] : ( ( v4_msafree2(E,B) & v6_circcomb(E,B) & l3_msualg_1(E,B) ) => ! [F] : ( ( v4_msafree2(F,C) & v6_circcomb(F,C) & l3_msualg_1(F,C) ) => k3_circcomb(k2_circcomb(A,B),C,k3_circcomb(A,B,D,E),F) = k3_circcomb(A,k2_circcomb(B,C),D,k3_circcomb(B,C,E,F)) ) ) ) ) ) ) )).
fof(t25_facirc_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( k5_facirc_2(A,B,C) != k4_tarski(D,k3_facirc_1) & k5_facirc_2(A,B,C) != k4_tarski(D,k1_facirc_1) ) ) ) ) )).
fof(t25_fcont_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,k7_relset_1(k1_numbers,k1_numbers,B,A))) ) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,B,C),A)) ) ) ) )).
fof(t25_fcont_3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(k3_limfunc1(A),k1_relset_1(k1_numbers,B)) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A))) ) => ( ( ~ v5_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A))) & ~ v6_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A))) ) | v3_rcomp_1(k2_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,B,k3_limfunc1(A)))) ) ) ) ) )).
fof(t25_fdiff_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_fdiff_1(B,A) => v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) ) )).
fof(t25_fdiff_10,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k27_sin_cos)))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k27_sin_cos)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_sin_cos,k27_sin_cos)),A),B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos,B),k2_xcmplx_0(k1_funct_1(k26_sin_cos,B),k1_funct_1(k27_sin_cos,B))),k3_xcmplx_0(k1_funct_1(k16_sin_cos,B),k6_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k1_funct_1(k18_sin_cos,B))),k7_xcmplx_0(1,k1_square_1(k1_funct_1(k16_sin_cos,B)))))) ) ) ) ) ) )).
fof(t25_fdiff_11,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_sin_cos9))) & r1_tarski(A,k2_rcomp_1(k4_xcmplx_0(1),1)) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_sin_cos9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k16_sin_cos,k1_sin_cos9),A),B) = k2_xcmplx_0(k3_xcmplx_0(k1_funct_1(k18_sin_cos,B),k1_funct_1(k1_sin_cos9,B)),k7_xcmplx_0(k1_funct_1(k16_sin_cos,B),k2_xcmplx_0(1,k1_square_1(B)))) ) ) ) ) ) )).
fof(t25_fdiff_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r2_hidden(D,k2_rcomp_1(B,A)) & r2_hidden(E,k2_rcomp_1(B,A)) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(C,D),k1_funct_1(C,E))),k1_square_1(k6_xcmplx_0(D,E))) ) ) ) & r1_tarski(k2_rcomp_1(B,A),k1_relset_1(k1_numbers,C)) ) => ( r2_fdiff_1(C,k2_rcomp_1(B,A)) & v3_funct_1(k2_partfun1(k1_numbers,k1_numbers,C,k2_rcomp_1(B,A))) ) ) ) ) ) )).
fof(t25_fdiff_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(C,k9_xtuple_0(k26_valued_1(k1_numbers,k1_numbers,D,k7_xcmplx_0(1,k6_xcmplx_0(A,B))))) & D = k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_rfunct_1(k1_numbers,k1_numbers,E,F),k3_taylor_1) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,C) => ( k1_funct_1(E,G) = k6_xcmplx_0(G,A) & ~ r1_xxreal_0(k1_funct_1(E,G),k5_numbers) & k1_funct_1(F,G) = k6_xcmplx_0(G,B) & ~ r1_xxreal_0(k1_funct_1(F,G),k5_numbers) & k6_xcmplx_0(A,B) != k5_numbers ) ) ) ) => ( r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,D,k7_xcmplx_0(1,k6_xcmplx_0(A,B))),C) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,C) => k1_funct_1(k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,D,k7_xcmplx_0(1,k6_xcmplx_0(A,B))),C),G) = k7_xcmplx_0(1,k3_xcmplx_0(k6_xcmplx_0(G,A),k6_xcmplx_0(G,B))) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_fdiff_5,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,k9_xtuple_0(k6_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1))) & ! [B] : ( v1_xreal_0(B) => ~ ( r2_hidden(B,A) & k1_funct_1(k3_taylor_1,B) = k5_numbers ) ) ) => ( r2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k6_rfunct_1(k1_numbers,k1_numbers,k3_taylor_1),A),B) = k4_xcmplx_0(k7_xcmplx_0(1,k3_xcmplx_0(B,k1_square_1(k1_funct_1(k3_taylor_1,B))))) ) ) ) ) ) )).
fof(t25_fdiff_6,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(A,k9_xtuple_0(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_taylor_1(2)),B))) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(B,C) = 1 ) ) ) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_taylor_1(2)),B),A) & ! [C] : ( v1_xreal_0(C) => ( r2_hidden(C,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k1_taylor_1(2)),B),A),C) = k3_xcmplx_0(2,k23_sin_cos(k3_xcmplx_0(2,C))) ) ) ) ) ) ) )).
fof(t25_fdiff_7,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_tarski(B,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos6)))) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => ( k1_funct_1(C,D) = k7_xcmplx_0(D,A) & ~ r1_xxreal_0(k1_funct_1(C,D),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(C,D)) ) ) ) ) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos6)),B) & ! [D] : ( v1_xreal_0(D) => ( r2_hidden(D,B) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,B),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,C,k1_sin_cos6)),B),D) = k2_xcmplx_0(k1_funct_1(k1_sin_cos6,k7_xcmplx_0(D,A)),k7_xcmplx_0(D,k3_xcmplx_0(A,k3_square_1(k6_xcmplx_0(1,k1_square_1(k7_xcmplx_0(D,A))))))) ) ) ) ) ) ) ) )).
fof(t25_fdiff_8,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k27_sin_cos),k1_partfun2(k1_numbers,A)))) => ( r2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k27_sin_cos),k1_partfun2(k1_numbers,A)),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k47_valued_1(k1_numbers,k1_numbers,k1_numbers,k32_valued_1(k1_numbers,k1_numbers,k27_sin_cos),k1_partfun2(k1_numbers,A)),A),B) = k7_xcmplx_0(k1_square_1(k1_funct_1(k18_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B))) ) ) ) ) ) )).
fof(t25_fdiff_9,axiom,( ! [A] : ( ( v3_rcomp_1(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( r1_tarski(A,k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9))) => ( r2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9),A) & ! [B] : ( v1_xreal_0(B) => ( r2_hidden(B,A) => k1_funct_1(k2_fdiff_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k22_sin_cos,k2_fdiff_9),A),B) = k6_xcmplx_0(k7_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k16_sin_cos,B)),k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k22_sin_cos,B),k1_funct_1(k18_sin_cos,B)),k1_square_1(k1_funct_1(k16_sin_cos,B)))) ) ) ) ) ) )).
fof(t25_ff_siec,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ( r1_tarski(k9_xtuple_0(k16_ff_siec(A)),k2_net_1(A)) & r1_tarski(k10_xtuple_0(k16_ff_siec(A)),k2_net_1(A)) & r1_tarski(k9_xtuple_0(k15_ff_siec(A)),k2_net_1(A)) & r1_tarski(k10_xtuple_0(k15_ff_siec(A)),k2_net_1(A)) ) ) )).
fof(t25_fib_num2,axiom,( ! [A] : ( v7_ordinal1(A) => k1_pre_ff(k1_nat_1(A,3)) = k1_nat_1(k1_pre_ff(k1_nat_1(A,2)),k1_pre_ff(k1_nat_1(A,1))) ) )).
fof(t25_fib_num3,axiom,( ! [A] : ( v7_ordinal1(A) => k1_nat_1(k2_nat_1(3,k1_pre_ff(A)),k1_fib_num3(A)) = k2_nat_1(2,k1_pre_ff(k1_nat_1(A,2))) ) )).
fof(t25_fib_num4,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_xxreal_0(2,A) => k1_pre_ff(k2_xcmplx_0(A,1)) = k2_int_1(k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k1_pre_ff(A),k3_xcmplx_0(k3_square_1(5),k1_pre_ff(A))),1),2)) ) ) )).
fof(t25_filerec1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_finseq_1(B,A) => ! [C] : ( m1_finseq_1(C,A) => r1_tarski(B,k8_finseq_8(A,B,C)) ) ) ) )).
fof(t25_filter_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & r2_tarski(k5_lattices(A),B) ) => ( k3_filter_0(A,B) = k1_filter_0(A) & k3_filter_0(A,B) = u1_struct_0(A) ) ) ) ) )).
fof(t25_filter_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( ( r2_binop_1(A,C,E) & r2_binop_1(B,D,F) ) <=> r2_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k6_filter_1(A,B,E,F)) ) ) ) ) ) ) ) )).
fof(t25_filter_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ( v13_lattices(A) => ( ~ v1_xboole_0(k6_domain_1(u1_struct_0(A),k5_lattices(A))) & v18_lattices(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A) & v21_lattices(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A) & m1_subset_1(k6_domain_1(u1_struct_0(A),k5_lattices(A)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t25_finance2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & v1_random_3(C,A,k1_numbers,B,k12_prob_1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & v1_random_3(D,A,k1_numbers,B,k12_prob_1) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v1_funct_1(k20_valued_1(A,k1_numbers,k1_numbers,C,D)) & v1_funct_2(k20_valued_1(A,k1_numbers,k1_numbers,C,D),A,k1_numbers) & v1_random_3(k20_valued_1(A,k1_numbers,k1_numbers,C,D),A,k1_numbers,B,k12_prob_1) & m1_subset_1(k20_valued_1(A,k1_numbers,k1_numbers,C,D),k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) ) ) ) ) )).
fof(t25_finseq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( v7_ordinal1(C) => ~ ( r2_tarski(C,k4_finseq_1(k7_finseq_1(A,B))) & ~ r2_tarski(C,k4_finseq_1(A)) & ! [D] : ( v7_ordinal1(D) => ~ ( r2_tarski(D,k4_finseq_1(B)) & C = k2_xcmplx_0(k3_finseq_1(A),D) ) ) ) ) ) ) )).
fof(t25_finseq_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k1_finseq_1(A),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_finseq_1(A),B))) ) => m2_finseq_1(C,B) ) ) ) )).
fof(t25_finseq_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k1_relset_1(k4_ordinal1,A)) <=> ( r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(A)) ) ) ) ) )).
fof(t25_finseq_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( r2_finseq_4(A,B) => k1_finseq_4(A,B) = k4_finseq_4(A,B) ) ) )).
fof(t25_finseq_5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_finseq_1(C,B) => r1_xxreal_0(k3_finseq_1(k2_rfinseq(B,A,C)),k3_finseq_1(C)) ) ) ) )).
fof(t25_finseq_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => k3_finseq_5(k3_finseq_5(A)) = A ) )).
fof(t25_finseq_7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => k2_finseq_7(A,k3_finseq_4(A,B,C,D),1,3) = k3_finseq_4(A,D,C,B) ) ) ) ) )).
fof(t25_finseq_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m2_finseq_1(C,A) => ( ( ~ r1_xxreal_0(k3_finseq_1(C),k5_numbers) => ( r1_xxreal_0(k3_finseq_1(C),k3_finseq_1(B)) & k3_finseq_6(A,B,k7_nat_d(k1_nat_1(k3_finseq_1(B),1),k3_finseq_1(C)),k3_finseq_1(B)) = C ) ) => r4_finseq_8(A,B,C) ) ) ) ) )).
fof(t25_finseqop,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ( v2_binop_1(F,B) => r2_funct_2(A,B,k1_partfun1(A,B,B,B,k6_funcop_1(B,A,F,D,E),k9_funcop_1(B,B,F,k6_partfun1(B),C)),k6_funcop_1(B,A,F,D,k1_partfun1(A,B,B,B,E,k9_funcop_1(B,B,F,k6_partfun1(B),C)))) ) ) ) ) ) ) ) )).
fof(t25_fintopo2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_fintopo2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k10_fintopo2(A,B),k10_fintopo2(A,C)) ) ) ) ) )).
fof(t25_fintopo3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_orders_2(A) => ! [C] : ( v7_ordinal1(C) => r1_tarski(k3_fintopo3(A,B,C),k3_fintopo3(A,B,k1_nat_1(C,1))) ) ) ) ) )).
fof(t25_fintopo6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => v4_fin_topo(k6_domain_1(u1_struct_0(A),B),A) ) ) )).
fof(t25_flang_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k3_catalan2(A))) => k7_flang_1(A,B,1) = B ) )).
fof(t25_flang_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( r1_xxreal_0(D,C) & r1_xxreal_0(C,E) ) => k1_flang_2(A,B,D,E) = k4_subset_1(k8_afinsq_1(A),k1_flang_2(A,B,D,C),k1_flang_2(A,B,k2_xcmplx_0(C,1),E)) ) ) ) ) ) )).
fof(t25_flang_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k8_afinsq_1(A))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => k6_flang_1(A,k1_flang_2(A,B,C,D),k1_flang_3(A,B,E)) = k6_flang_1(A,k1_flang_3(A,B,E),k1_flang_2(A,B,C,D)) ) ) ) ) )).
fof(t25_fomodel0,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ~ v1_xboole_0(C) => ( C = k1_funct_1(B,A) <=> r2_tarski(A,k8_relat_1(B,k1_tarski(C))) ) ) ) )).
fof(t25_fomodel2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v11_fomodel1(A) & l1_fomodel1(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => ! [D] : ( m1_subset_1(D,B) => ! [E] : ( ( v4_fomodel1(E,A) & m1_subset_1(E,k1_fomodel1(A)) ) => ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v1_fomodel2(F,A,B) ) => ( ~ r2_tarski(E,k10_xtuple_0(C)) => k1_funct_1(k9_fomodel2(A,B,k5_fomodel2(F,E,D)),C) = k1_funct_1(k9_fomodel2(A,B,F),C) ) ) ) ) ) ) ) )).
fof(t25_frechet,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v2_frechet(C,A) & r1_tarski(k2_relset_1(u1_struct_0(A),C),B) ) => r1_tarski(k2_frechet(A,C),B) ) ) => v4_pre_topc(B,A) ) ) => v4_frechet(A) ) ) )).
fof(t25_frechet2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( v8_pre_topc(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_frechet(A,B,C) <=> ( v2_frechet(B,A) & C = k2_frechet2(A,B) ) ) ) ) ) ) )).
fof(t25_fscirc_1,axiom,( ! [A] : ( ~ v1_xtuple_0(A) => ! [B] : ( ~ v1_xtuple_0(B) => ! [C] : ( ~ v1_xtuple_0(C) => ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C)))) => v1_circuit2(k5_facirc_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C),D,2),k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C)) ) ) ) ) )).
fof(t25_fscirc_2,axiom,( ! [A] : ! [B] : ! [C] : ~ ( A != k4_tarski(k10_finseq_1(B,C),k3_facirc_1) & B != k4_tarski(k10_finseq_1(A,C),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k2_twoscomp) & C != k4_tarski(k10_finseq_1(A,B),k1_facirc_1) & ~ ! [D] : ( m1_subset_1(D,k4_card_3(u3_msualg_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C)))) => v1_circuit2(k5_facirc_1(k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C),D,2),k8_fscirc_1(A,B,C),k9_fscirc_1(A,B,C)) ) ) )).
fof(t25_fsm_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & l2_fsm_1(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => r6_fsm_1(A,B,C,D,E,k5_numbers) ) ) ) ) ) )).
fof(t25_fsm_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l2_fsm_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers)) ) => ( ( v1_fsm_2(A,k2_zfmisc_1(k1_numbers,k1_numbers)) & u1_struct_0(A) = k1_ordinal1(k1_numbers) & u1_fsm_2(k2_zfmisc_1(k1_numbers,k1_numbers),A) = k1_numbers & u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A) = k1_numbers & u4_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers),A) = k6_partfun1(u1_struct_0(A)) & ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => k1_funct_1(u1_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(u2_fsm_1(k2_zfmisc_1(k1_numbers,k1_numbers),A),k4_tarski(B,C))) = k2_xcmplx_0(B,C) ) ) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ! [C] : ( m1_subset_1(C,k1_numbers) => r3_fsm_2(k2_zfmisc_1(k1_numbers,k1_numbers),k1_ordinal1(k1_numbers),A,k1_domain_1(k1_numbers,k1_numbers,B,C),k3_real_1(B,C)) ) ) ) ) )).
fof(t25_fsm_3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(C)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(C)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(C)) => ! [G] : ( ( ~ v2_struct_0(G) & l1_rewrite3(G,k4_subset_1(k3_catalan2(C),k9_flang_1(C),k4_flang_1(C,k2_flang_1(C)))) ) => ! [H] : ( m1_rewrite1(H,k1_rewrite3(C,k4_subset_1(k3_catalan2(C),k9_flang_1(C),k4_flang_1(C,k2_flang_1(C))),G)) => ~ ( k1_funct_1(H,1) = k4_tarski(A,k1_flang_1(C,D,F)) & k1_funct_1(H,k3_finseq_1(H)) = k4_tarski(B,k1_flang_1(C,E,F)) & ! [I] : ( m1_rewrite1(I,k1_rewrite3(C,k4_subset_1(k3_catalan2(C),k9_flang_1(C),k4_flang_1(C,k2_flang_1(C))),G)) => ~ ( k1_funct_1(I,1) = k4_tarski(A,D) & k1_funct_1(I,k3_finseq_1(I)) = k4_tarski(B,E) ) ) ) ) ) ) ) ) ) )).
fof(t25_ftacell1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( r2_hidden(k4_tarski(k10_finseq_1(A,B),k4_gfacirc1),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k36_gfacirc1(A,B,C),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k2_twoscomp),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(B,C),k3_gfacirc1),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(C,A),k6_twoscomp),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k33_gfacirc1(A,B,C),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k4_gfacirc1),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k24_gfacirc1(k36_gfacirc1(A,B,C),E,D),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(k36_gfacirc1(A,B,C),E),k3_gfacirc1),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(E,D),k2_twoscomp),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_hidden(k4_tarski(k10_finseq_1(D,k36_gfacirc1(A,B,C)),k3_facirc_1),k3_msafree2(k13_ftacell1(A,B,C,D,E))) & r2_tarski(k21_gfacirc1(k36_gfacirc1(A,B,C),E,D),k3_msafree2(k13_ftacell1(A,B,C,D,E))) ) )).
fof(t25_funcop_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => k3_relat_1(C,k3_funcop_1(D,A,B)) = k3_funcop_1(D,k3_relat_1(C,A),k3_relat_1(C,B)) ) ) ) ) )).
fof(t25_funcsdom,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k11_funcsdom(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_funcsdom(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_funcsdom(A))) => ( k1_algstr_0(k11_funcsdom(A),B,C) = k1_algstr_0(k11_funcsdom(A),C,B) & k1_algstr_0(k11_funcsdom(A),k1_algstr_0(k11_funcsdom(A),B,C),D) = k1_algstr_0(k11_funcsdom(A),B,k1_algstr_0(k11_funcsdom(A),C,D)) & k1_algstr_0(k11_funcsdom(A),B,k4_struct_0(k11_funcsdom(A))) = B & ? [E] : ( m1_subset_1(E,u1_struct_0(k11_funcsdom(A))) & k1_algstr_0(k11_funcsdom(A),B,E) = k4_struct_0(k11_funcsdom(A)) ) & k6_algstr_0(k11_funcsdom(A),B,C) = k6_algstr_0(k11_funcsdom(A),C,B) & k6_algstr_0(k11_funcsdom(A),k6_algstr_0(k11_funcsdom(A),B,C),D) = k6_algstr_0(k11_funcsdom(A),B,k6_algstr_0(k11_funcsdom(A),C,D)) & k6_algstr_0(k11_funcsdom(A),B,k5_struct_0(k11_funcsdom(A))) = B & k6_algstr_0(k11_funcsdom(A),k5_struct_0(k11_funcsdom(A)),B) = B & k6_algstr_0(k11_funcsdom(A),B,k1_algstr_0(k11_funcsdom(A),C,D)) = k1_algstr_0(k11_funcsdom(A),k6_algstr_0(k11_funcsdom(A),B,C),k6_algstr_0(k11_funcsdom(A),B,D)) & k6_algstr_0(k11_funcsdom(A),k1_algstr_0(k11_funcsdom(A),C,D),B) = k1_algstr_0(k11_funcsdom(A),k6_algstr_0(k11_funcsdom(A),C,B),k6_algstr_0(k11_funcsdom(A),D,B)) ) ) ) ) ) )).
fof(t25_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( v2_funct_1(k3_relat_1(A,B)) & r1_tarski(k10_xtuple_0(A),k9_xtuple_0(B)) ) => v2_funct_1(A) ) ) ) )).
fof(t25_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v2_funct_1(C) & k2_relset_1(B,C) = B ) => ( v1_funct_1(k2_funct_1(C)) & v1_funct_2(k2_funct_1(C),B,A) & m1_subset_1(k2_funct_1(C),k1_zfmisc_1(k2_zfmisc_1(B,A))) ) ) ) )).
fof(t25_funct_3,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(k3_tarski(k7_relat_1(k3_funct_3(B),A)),k8_relat_1(B,k3_tarski(A))) ) )).
fof(t25_funct_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => r1_tarski(B,k1_funct_4(A,B)) ) ) )).
fof(t25_funct_5,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ( r1_tarski(k9_xtuple_0(C),k2_zfmisc_1(A,B)) => ( r1_tarski(k9_xtuple_0(k1_funct_5(C)),A) & r1_tarski(k9_xtuple_0(k3_funct_5(C)),B) ) ) ) )).
fof(t25_funct_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( A != k1_xboole_0 => ! [B] : ( r2_hidden(B,k3_funct_6(A)) <=> ! [C] : ( r2_hidden(C,k9_xtuple_0(A)) => r2_hidden(B,k1_funct_1(A,C)) ) ) ) ) )).
fof(t25_funct_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : r1_funct_7(A,A,B) ) )).
fof(t25_funct_8,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_8(B) & m1_subset_1(B,k1_zfmisc_1(k2_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r1_funct_8(B,k1_numbers,k1_numbers,C) => r1_funct_8(B,k1_numbers,k1_numbers,k9_valued_1(k1_numbers,k1_numbers,C,A)) ) ) ) ) )).
fof(t25_funct_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & v1_int_1(A) ) => v1_funct_9(k26_sin_cos,k3_xcmplx_0(k28_sin_cos,A)) ) )).
fof(t25_functor0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_altcat_2(B) & l1_altcat_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,k1_altcat_1(B,C,C)) => ! [E] : ( ( v8_functor0(E,A,B) & v10_functor0(E,A,B) & l2_functor0(E,A,B) ) => ( E = k9_functor0(A,B,C,D) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,k1_altcat_1(A,F,G)) => ( k1_altcat_1(A,F,G) != k1_xboole_0 => k6_functor0(A,B,E,F,G,H) = D ) ) ) ) ) ) ) ) ) ) )).
fof(t25_functor3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( v15_functor0(D,A,B) & m2_functor0(D,A,B) ) => ! [E] : ( ( v15_functor0(E,A,B) & m2_functor0(E,A,B) ) => ! [F] : ( ( v15_functor0(F,B,C) & m2_functor0(F,B,C) ) => ! [G] : ( m1_functor2(G,A,B,D,E) => ( r1_functor2(A,B,D,E) => r8_pboole(u1_struct_0(A),k5_functor3(A,B,C,D,E,G,F),k7_functor3(A,B,C,D,E,F,F,G,k4_functor2(B,C,F))) ) ) ) ) ) ) ) ) )).
fof(t25_fuznum_1,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( v1_fcont_1(A) & v1_fcont_1(B) & r1_partfun1(A,B) ) => ( v1_xboole_0(A) | v1_xboole_0(B) | ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( k1_relset_1(k1_numbers,A) = k1_rcomp_1(C,D) & k1_relset_1(k1_numbers,B) = k1_rcomp_1(D,E) ) ) ) ) | v1_fcont_1(k7_funct_4(k1_numbers,k1_numbers,A,B)) ) ) ) ) )).
fof(t25_fuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v5_relat_1(D,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(D) & v1_funct_2(D,A,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( r1_fuzzy_1(B,D) => r1_fuzzy_1(k1_fuzzy_1(A,B,C),k1_fuzzy_1(A,D,C)) ) ) ) ) ) )).
fof(t25_fuzzy_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,A,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v5_relat_1(C,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => r1_fuzzy_1(k2_fuzzy_1(A,k6_fuzzy_1(A,B,C),k1_fuzzy_1(A,B,C)),k2_fuzzy_1(A,B,C)) ) ) ) )).
fof(t25_fuzzy_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,B) => ( ( C = D => k2_binop_1(A,B,k1_numbers,k4_fuzzy_4(A,B),C,D) = 1 ) & ( C != D => k2_binop_1(A,B,k1_numbers,k4_fuzzy_4(A,B),C,D) = k5_numbers ) ) ) ) ) ) )).
fof(t25_fvaluat1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v1_realset2(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_fvaluat1(D,A) => ( ( v3_fvaluat1(A) & r1_xxreal_0(k3_funct_2(u1_struct_0(A),k6_numbers,D,k12_algstr_0(A,B,C)),k5_numbers) ) => ( B = k4_struct_0(A) | C = k4_struct_0(A) | r1_xxreal_0(k5_numbers,k3_funct_2(u1_struct_0(A),k6_numbers,D,k12_algstr_0(A,C,B))) ) ) ) ) ) ) )).
fof(t25_fvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & l2_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k6_fvsum_1(A,B,k5_finseq_2(u1_struct_0(B),A,C)) = k5_finseq_2(u1_struct_0(B),A,k4_algstr_0(B,C)) ) ) ) )).
fof(t25_gate_1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ( ~ ( ~ v1_xboole_0(k19_gate_1(A,B,C,D,E)) & v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) ) & ~ ( ~ ( v1_xboole_0(A) & v1_xboole_0(B) & v1_xboole_0(C) & v1_xboole_0(D) & v1_xboole_0(E) ) & v1_xboole_0(k19_gate_1(A,B,C,D,E)) ) ) )).
fof(t25_gaussint,axiom,( ! [A] : ( m1_ec_pf_1(A,k11_gaussint) => u1_struct_0(A) = u1_struct_0(k11_gaussint) ) )).
fof(t25_gcd_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_gcd_1(B,A) => ( k4_gcd_1(A,B,k4_struct_0(A)) = k4_struct_0(A) & k4_gcd_1(A,B,k5_struct_0(A)) = k5_struct_0(A) ) ) ) )).
fof(t25_genealg1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( ~ v1_xboole_0(D) & v1_relat_1(D) & v2_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) ) => ! [E] : ( m1_genealg1(E,D) => ! [F] : ( m1_genealg1(F,D) => ( k9_genealg1(D,E,F,A,B,C) = k9_genealg1(D,E,F,B,A,C) & k9_genealg1(D,E,F,A,B,C) = k9_genealg1(D,E,F,A,C,B) ) ) ) ) ) ) ) )).
fof(t25_geomtrap,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ( ( r1_analmetr(A,G,H) & r2_geomtrap(A,G,H,B,C,D,E) ) => ( B = C | ( ~ r2_geomtrap(A,G,H,B,C,D,F) & ~ r2_geomtrap(A,G,H,B,C,F,D) ) | E = F ) ) ) ) ) ) ) ) ) ) )).
fof(t25_gfacirc1,axiom,( ! [A] : ! [B] : ! [C] : ( r2_tarski(A,u1_struct_0(k10_gfacirc1(A,B,C))) & r2_tarski(B,u1_struct_0(k10_gfacirc1(A,B,C))) & r2_tarski(C,u1_struct_0(k10_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),u1_struct_0(k10_gfacirc1(A,B,C))) & r2_hidden(k4_tarski(k10_finseq_1(k4_tarski(k10_finseq_1(A,B),k1_facirc_1),C),k1_facirc_1),u1_struct_0(k10_gfacirc1(A,B,C))) ) )).
fof(t25_gfacirc2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) ) => v1_relat_1(k3_msafree2(k5_gfacirc2(A,B,C))) ) ) ) )).
fof(t25_glib_000,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => r1_xxreal_0(1,k15_glib_000(A)) ) )).
fof(t25_glib_001,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( r2_tarski(C,k1_relset_1(k4_ordinal1,k6_glib_001(A,B))) => ( k1_funct_1(k6_glib_001(A,B),C) = k1_funct_1(B,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),1)) & r2_tarski(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),1),k1_relset_1(k4_ordinal1,B)) ) ) ) ) ) )).
fof(t25_glib_002,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) ) => ( v1_glib_002(A) <=> k3_glib_002(A) = k1_tarski(k6_glib_000(A)) ) ) )).
fof(t25_glib_003,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m3_glib_001(B,A) => ! [C] : ( r2_tarski(C,k28_glib_000(A,k4_glib_001(A,B))) => k10_glib_003(A,k10_glib_001(A,B,C)) = k2_xcmplx_0(k10_glib_003(A,B),k1_funct_1(k5_glib_003(A),C)) ) ) ) )).
fof(t25_glib_004,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) & v1_glib_003(A) & v7_glib_003(A) ) => ! [B] : ( m1_subset_1(B,k6_glib_000(A)) => k1_nat_1(k39_glib_000(k10_glib_004(A,B)),1) = k4_card_1(k2_glib_002(A,B)) ) ) )).
fof(t25_goboard1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r1_goboard1(u1_struct_0(k15_euclid(2)),C,B) & r2_tarski(A,k2_finseq_1(k1_matrix_0(B))) & r1_xboole_0(k10_xtuple_0(C),k10_xtuple_0(k8_matrix_0(u1_struct_0(k15_euclid(2)),B,A))) ) => ( r1_xxreal_0(k1_matrix_0(B),1) | r1_goboard1(u1_struct_0(k15_euclid(2)),C,k16_matrix_0(A,u1_struct_0(k15_euclid(2)),B)) ) ) ) ) ) )).
fof(t25_goboard5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,B) => ( r1_xxreal_0(k3_finseq_1(C),A) | r1_xxreal_0(k1_matrix_0(C),B) | k9_subset_1(u1_struct_0(k15_euclid(2)),k3_goboard5(C,A,B),k3_goboard5(C,k1_nat_1(A,1),B)) = k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),B),k3_matrix_0(u1_struct_0(k15_euclid(2)),C,k1_nat_1(A,1),k1_nat_1(B,1))) ) ) ) ) ) )).
fof(t25_goboard6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v3_relat_1(B) & v1_matrix_0(B) & v1_goboard1(B) & v2_goboard1(B) & v3_goboard1(B) & v4_goboard1(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(1,A) => ( r1_xxreal_0(k3_finseq_1(B),A) | k1_tops_1(k15_euclid(2),k3_goboard5(B,A,k1_matrix_0(B))) = a_2_5_goboard6(A,B) ) ) ) ) )).
fof(t25_goboard7,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,A) & r1_xxreal_0(A,k3_finseq_1(E)) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k1_matrix_0(E)) & r1_xxreal_0(1,B) & r1_xxreal_0(B,k3_finseq_1(E)) & r1_xxreal_0(1,D) & r1_xxreal_0(k1_nat_1(D,1),k1_matrix_0(E)) & r2_tarski(k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,C),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,k1_nat_1(C,1))),k7_xcmplx_0(1,2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,B,D),k3_matrix_0(u1_struct_0(k15_euclid(2)),E,B,k1_nat_1(D,1)))) ) => ( A = B & C = D ) ) ) ) ) ) ) )).
fof(t25_goboard8,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,2),k3_finseq_1(k2_goboard2(A))) ) => r1_xboole_0(k1_rltopsp1(k15_euclid(2),k5_algstr_0(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(B,1),1)),k7_xcmplx_0(1,2)),k19_euclid(k5_numbers,1)),k5_algstr_0(k15_euclid(2),k1_rlvect_1(k15_euclid(2),k3_rlvect_1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(B,1),1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k1_nat_1(B,2),1)),k7_xcmplx_0(1,2)),k19_euclid(k5_numbers,1))),k3_topreal1(2,A)) ) ) ) )).
fof(t25_goboard9,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(k1_nat_1(B,1),k3_finseq_1(A)) ) => r1_tarski(k1_tops_1(k15_euclid(2),k4_goboard5(A,B)),k3_goboard9(A)) ) ) ) )).
fof(t25_gobrd11,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => k3_goboard5(A,k5_numbers,k1_matrix_0(A)) = a_1_14_gobrd11(A) ) )).
fof(t25_gobrd13,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( m2_finseq_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( ( ~ v3_relat_1(E) & v1_matrix_0(E) & v1_goboard1(E) & v2_goboard1(E) & v3_goboard1(E) & v4_goboard1(E) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(D)) & r1_goboard1(u1_struct_0(k15_euclid(2)),D,E) & r2_hidden(k4_tarski(A,B),k2_matrix_0(E)) & r2_hidden(k4_tarski(k1_nat_1(A,1),B),k2_matrix_0(E)) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,C) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,k1_nat_1(A,1),B) & k7_partfun1(u1_struct_0(k15_euclid(2)),D,k1_nat_1(C,1)) = k3_matrix_0(u1_struct_0(k15_euclid(2)),E,A,B) ) => k2_gobrd13(D,E,C) = k3_goboard5(E,A,k7_nat_d(B,1)) ) ) ) ) ) ) )).
fof(t25_gobrd14,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( ( ~ v3_funct_1(B) & ~ v1_xboole_0(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & v1_sprect_2(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ~ ( r2_tarski(A,k3_goboard9(B)) & r1_xxreal_0(k7_pscomp_1(k3_topreal1(2,B)),k18_euclid(A)) ) ) ) )).
fof(t25_goedelcp,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_finseq_1(C,k3_cqc_lang(A)) => ! [D] : ( m2_finseq_1(D,k3_cqc_lang(A)) => ( r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),C,k12_finseq_1(k3_cqc_lang(A),B))) => ( r1_xxreal_0(k3_finseq_1(C),k5_numbers) | r4_calcul_1(A,k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),k8_finseq_1(k3_cqc_lang(A),k1_calcul_1(k3_cqc_lang(A),C),D),k12_finseq_1(k3_cqc_lang(A),k2_calcul_1(A,C))),k12_finseq_1(k3_cqc_lang(A),B))) ) ) ) ) ) ) )).
fof(t25_gr_cy_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v8_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ~ ( ? [B] : ( m1_subset_1(B,k4_ordinal1) & k7_group_1(A) = k3_xcmplx_0(2,B) ) & ! [B] : ( m1_group_2(B,A) => ~ ( k7_group_1(B) = 2 & ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v1_gr_cy_1(B) & l3_algstr_0(B) ) ) ) ) )).
fof(t25_gr_cy_3,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) & v2_gr_cy_3(A) ) => ~ ( ~ r1_xxreal_0(A,2) & k4_nat_d(A,4) = 3 & ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) & v1_gr_cy_3(B) ) => ~ r1_nat_d(B,k1_gr_cy_3(A)) ) ) ) )).
fof(t25_graph_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_graph_1(B) & l1_graph_1(B) ) => ( r4_graph_1(A,B) => v2_graph_1(A) ) ) ) )).
fof(t25_graph_2,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ( r1_tarski(k1_relset_1(k4_ordinal1,C),k4_finseq_1(B)) & r1_tarski(k10_xtuple_0(C),k10_xtuple_0(B)) ) ) ) )).
fof(t25_graph_3,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v6_graph_1(B) & l1_graph_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ~ ( k7_graph_3(B,C,A) != k5_numbers & v1_xboole_0(k4_graph_3(B,C,A)) ) ) ) )).
fof(t25_graph_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_graph_1(A) ) => ! [B] : ( m2_finseq_1(B,u4_struct_0(A)) => ( k3_finseq_1(B) = 1 => k2_graph_5(A,B) = k1_graph_5(A,k7_partfun1(u4_struct_0(A),B,1)) ) ) ) )).
fof(t25_graphsp,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_graph_1(B) & l1_graph_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u4_struct_0(B),k8_graph_5) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(B),k8_graph_5))) ) => ( ( r2_tarski(A,u4_struct_0(B)) & r1_graph_4(B,C,D,A) ) => k11_graphsp(B,C,D,E) = k1_funct_1(E,A) ) ) ) ) ) )).
fof(t25_grcat_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l2_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ( m4_grcat_1(A,B,C) <=> ! [D] : ( m1_subset_1(D,A) => ( v1_grcat_1(D) & m1_grcat_1(D,B,C) ) ) ) ) ) ) )).
fof(t25_grfunc_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) ) => ( ( r1_tarski(B,A) & v2_funct_1(A) ) => k6_relat_1(k10_xtuple_0(B),A) = B ) ) ) )).
fof(t25_grnilp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v15_algstr_0(D) & m1_group_2(D,A) ) => ! [E] : ( ( v15_algstr_0(E) & v1_group_3(E,A) & m1_group_2(E,A) ) => ! [F] : ( ( v15_algstr_0(F) & m1_group_6(F,B,k10_group_6(A,B,C)) ) => ! [G] : ( ( v15_algstr_0(G) & v1_group_3(G,k10_group_6(A,B,C)) & m1_group_6(G,B,k10_group_6(A,B,C)) ) => ( ( v15_algstr_0(E) & m1_group_6(E,A,D) & m1_group_6(k5_group_6(D,k1_group_6(A,D,E)),k5_group_6(A,E),k10_group_5(k5_group_6(A,E))) & r1_group_2(B,F,k2_grsolv_1(A,B,C,D)) & r1_group_2(B,G,k2_grsolv_1(A,B,C,E)) ) => m1_group_6(k5_group_6(F,k1_group_6(k10_group_6(A,B,C),F,G)),k5_group_6(k10_group_6(A,B,C),G),k10_group_5(k5_group_6(k10_group_6(A,B,C),G))) ) ) ) ) ) ) ) ) )).
fof(t25_groeb_1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v7_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(F,E) => r1_rewrite1(k3_polyred(A,B,C,D),F,k8_polynom1(A,C)) ) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom7(F,A,C) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( r2_tarski(F,E) => r7_polyred(A,B,C,F,D) ) ) ) ) ) ) ) ) )).
fof(t25_groeb_2,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & v2_bagorder(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v6_struct_0(C) & v13_algstr_0(C) & v33_algstr_0(C) & v4_vectsp_1(C) & v5_vectsp_1(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_group_1(C) & v5_group_1(C) & l6_algstr_0(C) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_polynom1(A,C)))) => ( ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(E,C) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(F,C) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ( ( r2_tarski(E,D) & r2_tarski(F,D) ) => r1_rewrite1(k3_polyred(A,B,C,D),k3_groeb_2(A,B,C,E,F),k8_polynom1(A,C)) ) ) ) => ( r2_tarski(k8_polynom1(A,C),D) | r1_groeb_1(A,B,C,D) ) ) ) ) ) ) )).
fof(t25_groeb_3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ( r1_xxreal_0(E,k4_card_1(k3_polynom1(k15_pre_poly(A),C,D))) => ( k3_polynom1(k15_pre_poly(A),C,k5_groeb_3(A,B,C,D,E)) = k3_groeb_3(A,B,C,D,E) & k3_polynom1(k15_pre_poly(A),C,k6_groeb_3(A,B,C,D,E)) = k4_groeb_3(A,B,C,D,E) ) ) ) ) ) ) ) )).
fof(t25_group_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k5_group_1(A,B,k5_numbers) = k1_group_1(A) ) ) )).
fof(t25_group_11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_group_2(D,A) => ( m1_group_2(C,D) => r1_tarski(k1_group_11(A,B,D),k1_group_11(A,B,C)) ) ) ) ) ) )).
fof(t25_group_17,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k1_tarski(A)) & v1_funct_1(B) & v1_partfun1(B,k1_tarski(A)) & v1_group_7(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l3_algstr_0(C) ) => ( B = k17_funcop_1(A,C) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k1_tarski(A)) & v5_relat_1(D,u1_struct_0(C)) & v1_funct_1(D) & v1_partfun1(D,k1_tarski(A)) ) => ( r2_tarski(D,u1_struct_0(k2_group_7(k1_tarski(A),B))) & r2_tarski(k1_funct_1(D,A),u1_struct_0(C)) & D = k17_funcop_1(A,k1_funct_1(D,A)) ) ) ) ) ) )).
fof(t25_group_19,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_group_7(B) & v2_group_7(B,A) & v3_group_7(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v1_funct_1(C) ) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_group_19(A,B,D))) => ( r1_struct_0(k3_group_7(A,B),C) => r1_struct_0(k3_group_7(A,B),k1_funct_7(C,D,E)) ) ) ) ) ) ) )).
fof(t25_group_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => k2_group_2(A,B,C) = k2_group_2(A,C,B) ) ) ) ) )).
fof(t25_group_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k2_group_3(A,k2_group_3(A,B,C),k2_group_1(A,C)) = B & k2_group_3(A,k2_group_3(A,B,k2_group_1(A,C)),C) = B ) ) ) ) )).
fof(t25_group_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k2_group_5(A,k6_algstr_0(A,B,C),D) = k6_algstr_0(A,k2_group_3(A,k2_group_5(A,B,D),C),k2_group_5(A,C,D)) ) ) ) ) )).
fof(t25_group_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( v1_group_3(C,A) & m1_group_2(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_group_6(A,C))) => ( D = k13_group_2(A,C,B) => k2_group_1(k5_group_6(A,C),D) = k13_group_2(A,C,k2_group_1(A,B)) ) ) ) ) ) )).
fof(t25_group_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v5_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v5_group_1(C) & l3_algstr_0(C) ) => ( v1_relat_1(k11_finseq_1(A,B,C)) & v4_relat_1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_partfun1(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) & v1_group_7(k11_finseq_1(A,B,C)) & v4_group_7(k11_finseq_1(A,B,C),k1_enumset1(1,2,3)) ) ) ) ) )).
fof(t25_group_8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v15_algstr_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l3_algstr_0(A) ) => ! [B] : ( ( v15_algstr_0(B) & m1_group_2(B,A) ) => ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v1_gr_cy_1(B) & l3_algstr_0(B) ) ) ) )).
fof(t25_group_9,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v2_group_1(B) & v3_group_1(B) & v3_group_9(B,A) & l1_group_9(B,A) ) => ! [C] : ( ( v2_group_9(C,A) & m1_group_9(C,A,B) ) => k18_group_9(A,B,k15_group_9(A,B,C)) = C ) ) )).
fof(t25_groupp_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v8_struct_0(B) & v15_algstr_0(B) & v2_group_1(B) & v3_group_1(B) & l3_algstr_0(B) ) => ( ( v2_group_10(B,A) & k2_groupp_1(A,B) = 1 ) => v1_gr_cy_1(B) ) ) ) )).
fof(t25_gtarski1,axiom,( ! [A] : ( ( v9_gtarski1(A) & l1_gtarski1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( r2_gtarski1(A,B,C,D,E) => r2_gtarski1(A,C,B,E,D) ) ) ) ) ) ) )).
fof(t25_hahnban1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(B,A,k1_complfld) & v1_hahnban1(B,k1_complfld,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( v1_funct_1(k11_hahnban1(A,B)) & v1_funct_2(k11_hahnban1(A,B),u1_struct_0(k10_hahnban1(A)),k1_numbers) & v2_hahnban(k11_hahnban1(A,B),k10_hahnban1(A)) & v3_hahnban(k11_hahnban1(A,B),k10_hahnban1(A)) & m1_subset_1(k11_hahnban1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_hahnban1(A)),k1_numbers))) ) ) ) )).
fof(t25_hallmar1,axiom,( ! [A] : ! [B] : ( m2_finseq_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => m1_hallmar1(B,A,B,C) ) ) )).
fof(t25_hausdorf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_numbers)) => ( ( D = k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k6_weierstr(A,B),C) & v2_compts_1(B,k3_pcomps_1(A)) & v2_compts_1(C,k3_pcomps_1(A)) ) => v4_xxreal_2(D) ) ) ) ) ) )).
fof(t25_helly,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v3_glib_002(A) ) => ! [B] : ( ( v5_glib_001(B,A) & m3_glib_001(B,A) ) => ~ ( ~ v3_glib_001(B,A) & v1_glib_001(B,A) ) ) ) )).
fof(t25_hermitan,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A,k1_complfld) & v9_vectsp_1(A,k1_complfld) & v10_vectsp_1(A,k1_complfld) & v11_vectsp_1(A,k1_complfld) & l1_vectsp_1(A,k1_complfld) ) => ! [B] : ( m1_vectsp_4(B,k1_complfld,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k1_complfld)) & v13_vectsp_1(C,A,k1_complfld) & v1_hermitan(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_complfld)))) ) => ( r1_tarski(u1_struct_0(B),k8_vectsp10(A,k1_complfld,k1_hermitan(A,C))) => v1_hermitan(k10_vectsp10(k1_complfld,A,B,C),k6_vectsp10(k1_complfld,A,B)) ) ) ) ) )).
fof(t25_heyting1,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_normform(A))) => ( k10_normform(A,k3_heyting1(A,C),k2_heyting1(A,B)) = k1_xboole_0 => r3_lattices(k11_normform(A),k3_funct_2(k7_normform(A),u1_struct_0(k11_normform(A)),k4_heyting1(A),B),k3_funct_2(u1_struct_0(k11_normform(A)),u1_struct_0(k11_normform(A)),k8_heyting1(A),C)) ) ) ) )).
fof(t25_heyting2,axiom,( ! [A] : ! [B] : ( v1_finset_1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_substlat(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_substlat(A,B))) => ! [E] : ( ( v1_finset_1(E) & m1_subset_1(E,k4_partfun1(A,B)) ) => ( ( ! [F] : ( m1_subset_1(F,k4_partfun1(A,B)) => ( r2_tarski(F,C) => r1_partfun1(F,E) ) ) & r3_lattices(k5_substlat(A,B),k4_lattices(k5_substlat(A,B),C,k3_funct_2(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B)),k8_heyting2(A,B),E)),D) ) => r3_lattices(k5_substlat(A,B),k3_funct_2(k4_partfun1(A,B),u1_struct_0(k5_substlat(A,B)),k8_heyting2(A,B),E),k4_binop_1(u1_struct_0(k5_substlat(A,B)),k5_heyting2(A,B),C,D)) ) ) ) ) ) )).
fof(t25_heyting3,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => m1_subset_1(k4_heyting3(A,B),u1_struct_0(k1_heyting3(k4_ordinal1,k6_domain_1(k4_ordinal1,B)))) ) ) )).
fof(t25_hfdiff_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( ( v3_rcomp_1(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( r2_hidden(A,D) => k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(k26_valued_1(k1_numbers,k1_numbers,k16_sin_cos,B),D),C),A) = k3_xcmplx_0(B,k1_funct_1(k16_sin_cos,k2_xcmplx_0(A,k7_xcmplx_0(k3_xcmplx_0(C,k28_sin_cos),2)))) ) ) ) ) ) )).
fof(t25_hilbasis,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v7_mod_4(C,A,B) => v7_mod_4(k2_tops_2(u1_struct_0(A),u1_struct_0(B),C),B,A) ) ) ) ) )).
fof(t25_hilbert1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( m1_subset_1(C,k1_hilbert1) => r2_tarski(k3_hilbert1(k3_hilbert1(k3_hilbert1(A,B),C),k3_hilbert1(B,C)),k6_hilbert1) ) ) ) )).
fof(t25_hilbert2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => k3_hilbert1(A,B) != k2_hilbert1 ) ) )).
fof(t25_hilbert3,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,B) & v3_funct_2(D,B,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => v3_funct_2(k16_funct_3(A,B,A,B,C,D),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)) ) ) )).
fof(t25_huffman1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m2_prob_1(B,A,k1_random_1(A)) => ! [C] : ( m1_trees_4(C,k1_zfmisc_1(k2_huffman1(k1_huffman1)),k3_huffman1(k1_huffman1)) => ! [D] : ( m2_finseq_1(D,k4_ordinal1) => ( r1_huffman1(A,B,C,D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( ~ v1_xboole_0(F) & v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_huffman1(k1_huffman1))) ) => ( F = k1_funct_1(C,E) => ! [G] : ( ( v1_relat_1(G) & v5_relat_1(G,k1_huffman1) & v1_funct_1(G) & v1_finset_1(G) & v3_trees_2(G) & v2_bintree1(G) ) => ( r2_tarski(G,F) => ! [H] : ( m1_trees_1(H,k9_xtuple_0(G)) => ! [I] : ( m1_subset_1(I,k4_ordinal1) => ( I = k1_xtuple_0(k3_trees_2(k1_huffman1,G,H)) => r1_xxreal_0(I,k9_huffman1(F)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_hurwitz,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ( C != k5_numbers => ( k8_nat_1(u1_struct_0(A),k3_hurwitz(A,B,C),k5_numbers) = k4_algstr_0(A,k2_binop_1(u1_struct_0(A),k4_ordinal1,u1_struct_0(A),k4_group_1(A),B,C)) & k8_nat_1(u1_struct_0(A),k3_hurwitz(A,B,C),C) = k1_group_1(A) ) ) ) ) ) )).
fof(t25_hurwitz2,axiom,( ! [A] : ( ( ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & v4_hurwitz2(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k2_polynom4(A,B,k4_algstr_0(A,C)) = k4_algstr_0(A,k2_polynom4(A,B,C)) ) ) ) )).
fof(t25_idea_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( k8_idea_1(B,A) = 1 => A = 1 ) ) ) )).
fof(t25_ideal_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_vectsp_1(A) & l4_algstr_0(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_ideal_1(C,A,B) => m1_ideal_1(C,A,B) ) ) ) )).
fof(t25_incsp_1,axiom,( ! [A] : ( ( v15_incsp_1(A) & l2_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ~ ( ~ v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A) & ! [E] : ( m1_subset_1(E,u4_incsp_1(A)) => ~ ! [F] : ( m1_subset_1(F,u4_incsp_1(A)) => ( r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),F) <=> E = F ) ) ) ) ) ) ) ) )).
fof(t25_index_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m5_index_1(D,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),u1_cat_1(B),k7_isocat_1(B)) => ! [E] : ( m4_index_1(E,u1_struct_0(B),u4_struct_0(B),u1_graph_1(B),u2_graph_1(B),D) => m3_cat_2(k10_index_1(A,k14_index_1(A,B,B,C,D)),E) ) ) ) ) ) )).
fof(t25_instalg1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => k1_instalg1(A,A,B,k6_partfun1(u1_struct_0(A)),k6_partfun1(u4_struct_0(A))) = g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)) ) ) )).
fof(t25_int_1,axiom,( ! [A] : ( v1_xreal_0(A) => ( k1_int_1(A) = A <=> v1_int_1(A) ) ) )).
fof(t25_int_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ( ( r1_int_1(C,k3_xcmplx_0(A,B)) & r1_int_2(A,C) ) => r1_int_1(C,B) ) ) ) ) )).
fof(t25_int_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( v1_int_2(A) & r1_int_2(A,B) ) => ( r1_xxreal_0(C,k5_numbers) | ! [D] : ( v1_int_1(D) => k5_int_1(k6_xcmplx_0(k3_xcmplx_0(A,D),B),k1_newton(A,C)) != k5_numbers ) ) ) ) ) ) )).
fof(t25_int_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( ( v7_ordinal1(B) & v1_int_2(B) ) => ~ ( k2_int_5(A,B) != 1 & k2_int_5(A,B) != k5_numbers & k2_int_5(A,B) != k4_xcmplx_0(1) ) ) ) )).
fof(t25_int_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_relat_1(A,k4_numbers) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_1(A) & v1_partfun3(A) & v1_int_6(A) ) => ! [B] : ( v7_ordinal1(B) => ( r2_tarski(B,k4_finseq_1(A)) => ! [C] : ( v1_int_1(C) => ( C = k7_xcmplx_0(k19_rvsum_1(A),k1_funct_1(A,B)) => r1_int_2(C,k1_funct_1(A,B)) ) ) ) ) ) )).
fof(t25_int_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v5_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ( ( v8_struct_0(A) & k6_group_1(A,B) = D & k6_group_1(A,C) = E & k3_int_2(D,E) = 1 ) => k6_group_1(A,k8_group_1(A,B,C)) = k3_xcmplx_0(D,E) ) ) ) ) ) ) )).
fof(t25_int_8,axiom,( ! [A] : ( v7_ordinal1(A) => ( r1_int_8(k1_xboole_0,A) <=> A = k5_numbers ) ) )).
fof(t25_integr11,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ~ ( k2_xcmplx_0(B,A) != k5_numbers & k6_xcmplx_0(B,A) != k5_numbers & k2_integra5(C,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(B,k5_numbers),k18_sin_cos),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(A,k5_numbers),k18_sin_cos))) != k6_xcmplx_0(k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k2_xcmplx_0(B,A),k5_numbers),k16_sin_cos),k7_xcmplx_0(1,k3_xcmplx_0(2,k2_xcmplx_0(B,A)))),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k6_xcmplx_0(B,A),k5_numbers),k16_sin_cos),k7_xcmplx_0(1,k3_xcmplx_0(2,k6_xcmplx_0(B,A))))),k2_seq_4(C)),k1_funct_1(k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k2_xcmplx_0(B,A),k5_numbers),k16_sin_cos),k7_xcmplx_0(1,k3_xcmplx_0(2,k2_xcmplx_0(B,A)))),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k1_fcont_1(k6_xcmplx_0(B,A),k5_numbers),k16_sin_cos),k7_xcmplx_0(1,k3_xcmplx_0(2,k6_xcmplx_0(B,A))))),k3_seq_4(C))) ) ) ) ) )).
fof(t25_integr12,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [F] : ( ( v3_rcomp_1(F) & m1_subset_1(F,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(B,F) & ! [G] : ( v1_xreal_0(G) => ( r2_hidden(G,F) => ( k1_funct_1(D,G) = 1 & k1_funct_1(E,G) = k7_xcmplx_0(G,A) & ~ r1_xxreal_0(k1_funct_1(E,G),k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,k1_funct_1(E,G)) ) ) ) & F = k1_relset_1(k1_numbers,C) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,C,B)) & r2_relset_1(k1_numbers,k1_numbers,C,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos6),k3_rfunct_1(k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k26_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k47_valued_1(k1_numbers,k1_numbers,k1_numbers,D,k41_valued_1(k1_numbers,k1_numbers,E)),k4_taylor_1(k7_xcmplx_0(1,2))),A)))) ) => k2_integra5(B,C) = k6_xcmplx_0(k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos6)),k2_seq_4(B)),k1_funct_1(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,F),k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,E,k1_sin_cos6)),k3_seq_4(B))) ) ) ) ) ) ) ) )).
fof(t25_integr13,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v3_rcomp_1(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,C) & r2_relset_1(k1_numbers,k1_numbers,B,k6_rfunct_1(k1_numbers,k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k1_partfun2(k1_numbers,C),k41_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k18_sin_cos))))) & r1_tarski(C,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos))) & C = k1_relset_1(k1_numbers,B) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,B,A)) ) => k2_integra5(A,B) = k6_xcmplx_0(k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),k2_seq_4(A)),k1_funct_1(k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k3_taylor_1,k26_sin_cos),k3_seq_4(A))) ) ) ) ) )).
fof(t25_integr14,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( v3_rcomp_1(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ( ( r1_tarski(A,B) & r1_tarski(B,k1_relset_1(k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1))) & B = k1_relset_1(k1_numbers,k27_sin_cos) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k27_sin_cos,A)) ) => k2_integra5(A,k27_sin_cos) = k6_xcmplx_0(k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1)),k2_seq_4(A)),k1_funct_1(k32_valued_1(k1_numbers,k1_numbers,k1_partfun1(k1_numbers,k1_numbers,k1_numbers,k1_numbers,k2_fdiff_9,k3_taylor_1)),k3_seq_4(A))) ) ) ) )).
fof(t25_integr19,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( r1_xxreal_0(B,C) & r1_integr15(A,k3_integra5(B,C),G) & v3_integr15(k2_partfun1(k1_numbers,k1_euclid(A),G,k3_integra5(B,C)),A) & r1_tarski(k3_integra5(B,C),k1_relset_1(k1_numbers,G)) & r2_hidden(D,k3_integra5(B,C)) & r2_hidden(E,k3_integra5(B,C)) ) => k12_integr15(D,E,A,k9_integr15(A,F,k1_numbers,G)) = k9_euclid(A,k12_integr15(D,E,A,G),F) ) ) ) ) ) ) ) ) )).
fof(t25_integr21,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( ~ v2_struct_0(F) & v13_algstr_0(F) & v2_rlvect_1(F) & v3_rlvect_1(F) & v4_rlvect_1(F) & v5_rlvect_1(F) & v6_rlvect_1(F) & v7_rlvect_1(F) & v8_rlvect_1(F) & v3_normsp_0(F) & v4_normsp_0(F) & v2_normsp_1(F) & v3_lopban_1(F) & l1_normsp_1(F) ) => ! [G] : ( ( v1_funct_1(G) & v1_nfcont_3(G,F) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(F)))) ) => ( ( r1_xxreal_0(A,B) & r1_tarski(k3_integra5(A,B),k1_relset_1(k1_numbers,G)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k3_integra5(k3_xxreal_0(C,D),k4_xxreal_0(C,D))) => r1_xxreal_0(k2_normsp_0(F,k7_partfun1(u1_struct_0(F),G,H)),E) ) ) ) => r1_xxreal_0(k2_normsp_0(F,k6_integr18(F,G,C,D)),k3_xcmplx_0(E,k9_complex1(k6_xcmplx_0(D,C)))) ) ) ) ) ) ) ) ) )).
fof(t25_integra1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( m1_integra1(B,A) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ( v2_seq_2(k2_partfun1(A,k1_numbers,C,A)) => r1_xxreal_0(k3_xcmplx_0(k3_seq_4(k1_rvsum_1(C)),k3_integra1(A)),k7_integra1(A,C,B)) ) ) ) ) )).
fof(t25_integra2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_measure5(C) & m1_subset_1(C,k1_zfmisc_1(k1_numbers)) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,C,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,k1_numbers))) ) => ! [E] : ( m1_integra1(E,C) => ( ( r2_tarski(B,k4_finseq_1(E)) & v2_seq_2(k2_partfun1(C,k1_numbers,D,C)) & r1_xxreal_0(k5_numbers,A) ) => k1_funct_1(k5_integra1(C,k26_valued_1(C,k1_numbers,D,A),E),B) = k3_xcmplx_0(A,k1_funct_1(k5_integra1(C,D,E),B)) ) ) ) ) ) ) )).
fof(t25_integra4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_measure5(B) & m1_subset_1(B,k1_zfmisc_1(k1_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ( ( v1_comseq_2(k2_partfun1(B,k1_numbers,C,B)) & r1_xxreal_0(k5_numbers,A) & ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ( ( r2_hidden(E,B) & r2_hidden(F,B) ) => r1_xxreal_0(k9_complex1(k6_xcmplx_0(k1_funct_1(D,E),k1_funct_1(D,F))),k3_xcmplx_0(A,k9_complex1(k6_xcmplx_0(k1_funct_1(C,E),k1_funct_1(C,F))))) ) ) ) ) => r1_xxreal_0(k6_xcmplx_0(k2_seq_4(k1_rvsum_1(D)),k3_seq_4(k1_rvsum_1(D))),k3_xcmplx_0(A,k6_xcmplx_0(k2_seq_4(k1_rvsum_1(C)),k3_seq_4(k1_rvsum_1(C))))) ) ) ) ) ) )).
fof(t25_integra6,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r1_xxreal_0(A,B) & r1_integra5(k3_integra5(A,B),F) & v1_comseq_2(k2_partfun1(k1_numbers,k1_numbers,F,k3_integra5(A,B))) & r1_tarski(k3_integra5(A,B),k9_xtuple_0(F)) & r2_hidden(C,k3_integra5(A,B)) & r2_hidden(D,k3_integra5(A,B)) ) => k4_integra5(C,D,k26_valued_1(k1_numbers,k1_numbers,F,E)) = k3_xcmplx_0(E,k4_integra5(C,D,F)) ) ) ) ) ) ) ) )).
fof(t25_integra7,axiom,( r1_integra7(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,k18_sin_cos,k4_xcmplx_0(1)),k16_sin_cos) )).
fof(t25_integra8,axiom,( ! [A] : ( v1_xreal_0(A) => ( r1_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),A) & k1_fdiff_1(k32_valued_1(k1_numbers,k1_numbers,k18_sin_cos),A) = k1_funct_1(k16_sin_cos,A) ) ) )).
fof(t25_integra9,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v2_measure5(D) & m1_subset_1(D,k1_zfmisc_1(k1_numbers)) ) => ( ( v1_partfun1(k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,C),D),D) & v1_partfun1(k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),D),D) & v1_comseq_2(k2_partfun1(D,k1_numbers,k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,C),D),D)) & v3_integra1(k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,A,C),D),D) & v1_comseq_2(k2_partfun1(D,k1_numbers,k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),D),D)) & v3_integra1(k1_integra5(k20_valued_1(k1_numbers,k1_numbers,k1_numbers,B,C),D),D) ) => k1_integra9(D,k3_valued_1(k1_numbers,k1_numbers,k1_numbers,A,B),C) = k2_xcmplx_0(k1_integra9(D,A,C),k1_integra9(D,B,C)) ) ) ) ) ) )).
fof(t25_interva1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r1_tarski(B,C) => ( ~ v1_xboole_0(k2_interva1(A,B,C)) & v1_interva1(k2_interva1(A,B,C),A) & m1_subset_1(k2_interva1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) ) ) )).
fof(t25_intpro_1,axiom,( ! [A] : ( m1_subset_1(A,k1_intpro_1) => ! [B] : ( m1_subset_1(B,k1_intpro_1) => ! [C] : ( m1_subset_1(C,k1_intpro_1) => ( r2_tarski(k3_intpro_1(A,B),k8_intpro_1) => r2_tarski(k3_intpro_1(k3_intpro_1(B,C),k3_intpro_1(A,C)),k8_intpro_1) ) ) ) ) )).
fof(t25_irrat_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(B) & k1_seq_2(B) = A ) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(C,k5_numbers) & ! [D] : ( v7_ordinal1(D) => ? [E] : ( v7_ordinal1(E) & r1_xxreal_0(D,E) & r1_xxreal_0(k1_funct_1(B,E),k6_xcmplx_0(A,C)) ) ) ) ) ) ) ) )).
fof(t25_isocat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ( r2_nattra_1(A,B,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => k2_cat_1(B,k8_cat_1(A,B,C,E),k8_cat_1(A,B,D,E)) != k1_xboole_0 ) ) ) ) ) ) )).
fof(t25_isocat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v2_cat_1(C) & v3_cat_1(C) & v4_cat_1(C) & v5_cat_1(C) & v6_cat_1(C) & l1_cat_1(C) ) => ! [D] : ( m2_cat_1(D,k6_cat_2(A,B),C) => ! [E] : ( m2_cat_1(E,k6_cat_2(A,B),C) => ! [F] : ( m2_cat_1(F,k6_cat_2(A,B),C) => ( ( r2_nattra_1(k6_cat_2(A,B),C,D,E) & r2_nattra_1(k6_cat_2(A,B),C,E,F) ) => ! [G] : ( m2_nattra_1(G,k6_cat_2(A,B),C,D,E) => ! [H] : ( m2_nattra_1(H,k6_cat_2(A,B),C,E,F) => r2_funct_2(u1_struct_0(A),u4_struct_0(k9_nattra_1(B,C)),k6_isocat_2(A,B,C,D,F,k5_nattra_1(k6_cat_2(A,B),C,D,E,F,G,H)),k5_nattra_1(A,k9_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F),k6_isocat_2(A,B,C,D,E,G),k6_isocat_2(A,B,C,E,F,H))) ) ) ) ) ) ) ) ) ) )).
fof(t25_isomichi,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( v1_xreal_0(B) => ( A = k4_rcomp_1(k2_xxreal_0,B) => k1_tops_1(k3_topmetr,A) = k2_rcomp_1(k2_xxreal_0,B) ) ) ) )).
fof(t25_jgraph_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ~ ( v1_topreal1(A) & r1_xxreal_0(2,k3_finseq_1(A)) & k1_funct_1(A,1) != k1_funct_1(A,k3_finseq_1(A)) & ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ~ ( r1_xxreal_0(2,k3_finseq_1(B)) & v1_topreal1(B) & v2_funct_1(B) & r1_tarski(k3_topreal1(2,B),k3_topreal1(2,A)) & k1_funct_1(A,1) = k1_funct_1(B,1) & k1_funct_1(A,k3_finseq_1(A)) = k1_funct_1(B,k3_finseq_1(B)) & r1_tarski(k2_relset_1(u1_struct_0(k15_euclid(2)),B),k2_relset_1(u1_struct_0(k15_euclid(2)),A)) ) ) ) ) )).
fof(t25_jgraph_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( v5_pre_topc(B,A,k3_topmetr) & v5_pre_topc(C,A,k3_topmetr) & ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k3_topmetr)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k3_topmetr)))) ) => ~ ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ( ( k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,E) = F & k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,E) = G ) => k3_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),D,E) = k3_xcmplx_0(F,G) ) ) ) ) & v5_pre_topc(D,A,k3_topmetr) ) ) ) ) ) ) )).
fof(t25_jgraph_3,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( A = a_0_2_jgraph_3 => ( v1_topreal2(A) & v2_compts_1(A,k15_euclid(2)) ) ) ) )).
fof(t25_jgraph_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( B = a_1_2_jgraph_4(A) => v4_pre_topc(B,k15_euclid(2)) ) ) ) )).
fof(t25_jgraph_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ~ ( ~ r1_xxreal_0(A,k4_xcmplx_0(1)) & ~ r1_xxreal_0(1,A) & ~ r1_xxreal_0(k5_numbers,k18_euclid(B)) & ? [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) & C = k3_funct_2(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k9_jgraph_4(A),B) & r1_xxreal_0(k5_numbers,k18_euclid(C)) ) ) ) ) )).
fof(t25_jgraph_6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( A = a_0_6_jgraph_6 & B = a_0_7_jgraph_6 ) => k7_relset_1(u1_struct_0(k15_euclid(2)),u1_struct_0(k15_euclid(2)),k1_jgraph_3,A) = B ) ) ) )).
fof(t25_jgraph_7,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ! [H] : ( v1_xreal_0(H) => ( ( k17_euclid(A) = E & k18_euclid(B) = H & k18_euclid(C) = H & k17_euclid(D) = F & r1_xxreal_0(G,k18_euclid(A)) & r1_xxreal_0(k18_euclid(A),H) & r1_xxreal_0(E,k17_euclid(B)) & r1_xxreal_0(k17_euclid(C),F) & r1_xxreal_0(G,k18_euclid(D)) & r1_xxreal_0(k18_euclid(D),H) ) => ( r1_xxreal_0(F,E) | r1_xxreal_0(H,G) | r1_xxreal_0(k17_euclid(C),k17_euclid(B)) | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_jordan,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( v4_pre_topc(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ~ ( ~ r2_tarski(C,B) & ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ~ r1_xboole_0(k1_topreal9(A,C,D),B) ) ) ) ) ) )).
fof(t25_jordan1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( v3_pre_topc(a_4_1_jordan1(A,B,C,D),k15_euclid(2)) & m1_subset_1(a_4_1_jordan1(A,B,C,D),k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) ) ) ) ) )).
fof(t25_jordan12,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ~ ( ~ r2_tarski(A,k1_rltopsp1(k15_euclid(2),B,C)) & k18_euclid(B) = k18_euclid(C) & k18_euclid(C) = k18_euclid(A) & ~ r2_tarski(B,k1_rltopsp1(k15_euclid(2),A,C)) & ~ r2_tarski(C,k1_rltopsp1(k15_euclid(2),A,B)) ) ) ) ) )).
fof(t25_jordan14,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ~ ( r1_jordan1h(A,E) & r1_xxreal_0(1,D) & r1_xxreal_0(D,k3_finseq_1(k1_jordan13(A,E))) & r2_hidden(k4_tarski(B,C),k2_matrix_0(k1_jordan8(A,E))) & k7_partfun1(u1_struct_0(k15_euclid(2)),k1_jordan13(A,E),D) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(A,E),B,C) & r1_xxreal_0(k1_matrix_0(k1_jordan8(A,E)),C) ) ) ) ) ) ) )).
fof(t25_jordan15,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(1,C) & r1_xxreal_0(C,D) & r1_xxreal_0(D,k1_matrix_0(k1_jordan8(B,k1_nat_1(A,1)))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),k1_jordan1a(k1_jordan8(B,k1_nat_1(A,1))),D),k8_jordan6(k3_topreal1(2,k1_jordan9(B,k1_nat_1(A,1))))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),k1_jordan1a(k1_jordan8(B,k1_nat_1(A,1))),C),k9_jordan6(k3_topreal1(2,k1_jordan9(B,k1_nat_1(A,1))))) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),k1_jordan1a(k1_jordan8(B,k1_nat_1(A,1))),C),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),k1_jordan1a(k1_jordan8(B,k1_nat_1(A,1))),D)),k9_jordan6(B)) ) ) ) ) ) )).
fof(t25_jordan17,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ( ( r1_jordan17(A,B,C,D,E) & r1_jordan17(A,B,E,D,C) ) => ( B = C | C = D | D = E | C = E ) ) ) ) ) ) ) )).
fof(t25_jordan18,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(A))) => ( r1_jordan18(A,B,C,D,E,F) => r1_jordan18(A,B,D,C,E,F) ) ) ) ) ) ) ) )).
fof(t25_jordan19,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( v7_ordinal1(F) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,k1_nat_1(A,1))),C) & ~ r1_xxreal_0(D,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,k1_nat_1(A,1))),D) & r1_xxreal_0(1,E) & r1_xxreal_0(E,F) & r1_xxreal_0(F,k1_matrix_0(k1_jordan8(B,k1_nat_1(A,1)))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),C,F),k9_jordan6(k3_topreal1(2,k1_jordan9(B,k1_nat_1(A,1))))) & r2_tarski(k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,E),k8_jordan6(k3_topreal1(2,k1_jordan9(B,k1_nat_1(A,1))))) & r2_subset_1(k4_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,E),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,F)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),D,F),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,k1_nat_1(A,1)),C,F))),k8_jordan6(B)) ) ) ) ) ) ) ) )).
fof(t25_jordan1a,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v3_relat_1(C) & v1_matrix_0(C) & v1_goboard1(C) & v2_goboard1(C) & v3_goboard1(C) & v4_goboard1(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r1_xxreal_0(A,k3_finseq_1(C)) & r1_xxreal_0(B,k1_matrix_0(C)) ) => v2_connsp_1(k3_goboard5(C,A,B),k15_euclid(2)) ) ) ) ) )).
fof(t25_jordan1b,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_topreal2(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k3_finseq_1(k1_jordan8(B,A)),C) & r2_subset_1(k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,1),k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),C,k3_finseq_1(k1_jordan8(B,A)))),k8_jordan6(B)) ) ) ) ) )).
fof(t25_jordan1d,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_connsp_1(B,k15_euclid(2)) & v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ? [C] : ( v7_ordinal1(C) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k1_matrix_0(k1_jordan8(B,A))) & k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A))) = k3_matrix_0(u1_struct_0(k15_euclid(2)),k1_jordan8(B,A),k3_finseq_1(k1_jordan8(B,A)),C) ) ) ) )).
fof(t25_jordan1g,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v2_compts_1(B,k15_euclid(2)) & ~ v1_sppol_1(B) & ~ v2_sppol_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k4_finseq_4(k2_jordan1e(B,A),k22_pscomp_1(k3_topreal1(2,k1_jordan9(B,A)))) = 1 ) ) )).
fof(t25_jordan1h,axiom,( ! [A] : ( ( ~ v3_relat_1(A) & v1_matrix_0(A) & v1_goboard1(A) & v2_goboard1(A) & v3_goboard1(A) & v4_goboard1(A) & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & ~ v3_funct_1(B) & v1_finseq_6(B,u1_struct_0(k15_euclid(2))) & v1_topreal1(B) & v2_topreal1(B) & v1_goboard5(B) & v2_goboard5(B) & m2_finseq_1(B,u1_struct_0(k15_euclid(2))) ) => ( r1_goboard1(u1_struct_0(k15_euclid(2)),B,A) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(B)) ) => ( r1_tarski(k1_tops_1(k15_euclid(2),k1_gobrd13(B,A,C)),k3_goboard9(B)) & r1_tarski(k1_tops_1(k15_euclid(2),k2_gobrd13(B,A,C)),k2_goboard9(B)) ) ) ) ) ) ) )).
fof(t25_jordan1i,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ( v1_sprect_2(A) <=> r2_tarski(k7_partfun1(u1_struct_0(k15_euclid(2)),k1_finseq_6(u1_struct_0(k15_euclid(2)),A,k18_pscomp_1(k3_topreal1(2,A))),2),k14_pscomp_1(k3_topreal1(2,A))) ) ) )).
fof(t25_jordan1j,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v2_compts_1(B,k15_euclid(2)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ( r1_xxreal_0(k9_pscomp_1(A),k9_pscomp_1(B)) => k9_pscomp_1(k4_subset_1(u1_struct_0(k15_euclid(2)),A,B)) = k9_pscomp_1(A) ) ) ) )).
fof(t25_jordan1k,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => k1_topreal6(2,k5_algstr_0(k15_euclid(2),A,B),k5_algstr_0(k15_euclid(2),A,C)) = k1_topreal6(2,B,C) ) ) ) )).
fof(t25_jordan20,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(2))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k15_euclid(2))) => ( ( r1_topreal1(k15_euclid(2),C,D,A) & r1_topreal1(k15_euclid(2),E,F,B) & r1_jordan5c(A,C,D,E,F) & r1_tarski(B,A) ) => B = k5_jordan6(A,C,D,E,F) ) ) ) ) ) ) ) )).
fof(t25_jordan21,axiom,( ! [A] : ( ( v2_compts_1(A,k15_euclid(2)) & ~ v2_sppol_1(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_jordan21(A) != k22_pscomp_1(A) ) )).
fof(t25_jordan22,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( r1_xxreal_0(B,C) => r1_xxreal_0(k18_euclid(k1_jordan21(k3_topreal1(2,k1_jordan9(A,C)))),k18_euclid(k1_jordan21(k3_topreal1(2,k1_jordan9(A,B))))) ) ) ) ) )).
fof(t25_jordan23,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( v3_funct_1(k3_graph_2(A,B)) => v3_funct_1(A) ) ) ) )).
fof(t25_jordan2b,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ! [B] : ( v1_xreal_0(B) => ( A = a_1_1_jordan2b(B) => v3_pre_topc(A,k3_topmetr) ) ) ) )).
fof(t25_jordan2c,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => r1_tarski(k1_jordan2c(A,B),k3_subset_1(u1_struct_0(k15_euclid(A)),B)) ) ) )).
fof(t25_jordan3,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ( r2_tarski(B,k3_topreal1(2,A)) => ( ( B != k1_funct_1(A,1) => k3_finseq_1(k3_jordan3(A,B)) = k1_nat_1(k1_jordan3(A,B),1) ) & ( B = k1_funct_1(A,1) => k3_finseq_1(k3_jordan3(A,B)) = k1_jordan3(A,B) ) ) ) ) ) )).
fof(t25_jordan4,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_jordan4(A,B,C,D) & r1_xxreal_0(C,D) ) => ( k3_finseq_1(B) = k1_nat_1(k7_nat_d(D,C),1) & B = k3_finseq_6(u1_struct_0(k15_euclid(2)),A,C,D) ) ) ) ) ) ) )).
fof(t25_jordan5a,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_topmetr))) => ( A = B => ( v1_rcomp_1(A) <=> v2_compts_1(B,k3_topmetr) ) ) ) ) )).
fof(t25_jordan5b,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,B) & r1_xxreal_0(C,k3_finseq_1(k2_goboard2(A))) ) => ( r1_xxreal_0(C,B) | k9_subset_1(u1_struct_0(k15_euclid(2)),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),1,k1_matrix_0(k2_goboard2(A))),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),B,k1_matrix_0(k2_goboard2(A)))),k1_rltopsp1(k15_euclid(2),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),C,k1_matrix_0(k2_goboard2(A))),k3_matrix_0(u1_struct_0(k15_euclid(2)),k2_goboard2(A),k3_finseq_1(k2_goboard2(A)),k1_matrix_0(k2_goboard2(A))))) = k1_xboole_0 ) ) ) ) ) )).
fof(t25_jordan5c,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( ( v4_topreal1(A) & r1_xxreal_0(1,C) & r1_xxreal_0(k1_nat_1(C,1),k3_finseq_1(A)) & r2_tarski(B,k2_topreal1(2,A,C)) ) => r1_jordan5c(k3_topreal1(2,A),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k7_partfun1(u1_struct_0(k15_euclid(2)),A,C),B) ) ) ) ) )).
fof(t25_jordan5d,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_numbers)) => ( B = a_1_3_jordan5d(A) => k2_seq_4(B) = k2_pscomp_1(k1_pre_topc(k15_euclid(2),k17_pscomp_1(k3_topreal1(2,A))),k3_pscomp_1(k15_euclid(2),k4_pscomp_1,k17_pscomp_1(k3_topreal1(2,A)))) ) ) ) )).
fof(t25_jordan6,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(2))) => ( r1_topreal1(k15_euclid(2),B,C,A) => k4_jordan6(A,B,C,D) = k3_jordan6(A,C,B,D) ) ) ) ) ) )).
fof(t25_jordan9,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( ~ v3_relat_1(D) & v1_matrix_0(D) & v1_goboard1(D) & v2_goboard1(D) & v3_goboard1(D) & v4_goboard1(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(2)))) ) => ( ( r2_hidden(k4_tarski(A,B),k2_matrix_0(D)) & r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(D)) ) => r1_xxreal_0(k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,A,B)),k18_euclid(k3_matrix_0(u1_struct_0(k15_euclid(2)),D,C,k1_matrix_0(D)))) ) ) ) ) ) )).
fof(t25_jordan_a,axiom,( ! [A] : ( ( v1_topreal2(A) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => ! [B] : ( m1_jordan_a(B,A) => ! [C] : ( v7_ordinal1(C) => ~ ( ~ r1_xxreal_0(C,1) & ~ r1_xxreal_0(k7_nat_d(k3_finseq_1(B),1),C) & ~ r1_subset_1(k2_jordan_a(A,k3_finseq_1(B),B),k2_jordan_a(A,C,B)) ) ) ) ) )).
fof(t25_knaster,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_lattices(A,k3_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),C) => ! [D] : ( v3_ordinal1(D) => ! [E] : ( v3_ordinal1(E) => ( r1_ordinal1(D,E) => r3_lattices(A,k6_knaster(A,B,C,E),k6_knaster(A,B,C,D)) ) ) ) ) ) ) ) )).
fof(t25_kurato_1,axiom,( k1_tops_1(k3_topmetr,k2_pre_topc(k3_topmetr,k1_tops_1(k3_topmetr,k6_kurato_1))) = k2_rcomp_1(4,k1_xxreal_0) )).
fof(t25_kurato_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(A)))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(u1_struct_0(k15_euclid(A)))))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( v9_rltopsp1(C,k15_euclid(A)) & ! [D] : ( v7_ordinal1(D) => r1_tarski(k8_nat_1(k9_setfam_1(u1_struct_0(k15_euclid(A))),B,D),C) ) ) => v9_rltopsp1(k1_kurato_2(k15_euclid(A),B),k15_euclid(A)) ) ) ) ) )).
fof(t25_laplace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( r2_tarski(C,k2_finseq_1(A)) => k12_matrix_3(A,B,D) = k4_rlvect_1(B,k8_laplace(A,C,B,D)) ) ) ) ) ) )).
fof(t25_latsubgr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m1_group_2(B,A) => ! [C] : ( m1_group_2(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_group_4(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k11_group_4(A))) => ( ( D = B & E = C ) => ( r3_lattices(k11_group_4(A),D,E) <=> r1_tarski(u1_struct_0(B),u1_struct_0(C)) ) ) ) ) ) ) ) )).
fof(t25_latsum_1,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( ( v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) & r1_latsum_1(A,B) & v4_orders_2(A) & v4_orders_2(B) ) => v4_orders_2(k1_latsum_1(A,B)) ) ) ) )).
fof(t25_lattad_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v3_lattad_1(A) & v4_lattad_1(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_lattices(A,B,C) & r1_lattices(A,C,D) ) => r1_lattices(A,B,D) ) ) ) ) ) )).
fof(t25_lattice2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => r6_binop_1(u1_struct_0(A),u1_lattices(A),u1_lattices(A)) ) )).
fof(t25_lattice3,axiom,( ! [A] : v4_lattice3(k1_lattice3(A)) )).
fof(t25_lattice4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v14_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_lattices(A,k2_lattice4(A,B),C) = k2_lattice4(A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),k9_funcop_1(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),k3_struct_0(A),C),B)) ) ) ) )).
fof(t25_lattice5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v1_yellow_0(B) & l1_orders_2(B) ) => ! [C] : ( v3_ordinal1(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ! [E] : ( m1_lattice5(E,A,B,D) => ( r2_tarski(C,k7_lattice5(A,B,D)) <=> r2_tarski(C,k9_xtuple_0(E)) ) ) ) ) ) ) )).
fof(t25_lattice6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v9_lattice6(B,A) <=> v4_waybel_6(k1_lattice6(A,B),k3_lattice3(A)) ) ) ) )).
fof(t25_lattice8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_yellow_0(B) & v1_lattice3(B) & v2_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( v2_lattice5(C,A,B) => ! [D] : ( m1_lattice5(D,A,B,C) => ! [E] : ( v3_ordinal1(E) => v2_lattice5(k6_lattice8(A,B,C,D,E),k3_lattice8(A,E),B) ) ) ) ) ) ) )).
fof(t25_latticea,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( ( ~ v1_xboole_0(C) & v19_lattices(C,A) & v20_lattices(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(C,k1_funct_1(k2_latticea(A),B)) <=> ( v2_filter_0(C,A) & r2_tarski(B,C) ) ) ) ) ) )).
fof(t25_lattices,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( k4_lattices(A,C,B) = k5_lattices(A) <=> r3_lattices(A,C,k7_lattices(A,B)) ) ) ) ) )).
fof(t25_lexbfs,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v1_funct_1(A) & v1_finset_1(A) & v1_glib_000(A) & v2_glib_000(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k9_funct_2(k6_glib_000(A),k5_finsub_1(k4_ordinal1)))) => ! [C] : ( m1_subset_1(C,k6_glib_000(A)) => ! [D] : ! [E] : ( v7_ordinal1(E) => ( ~ r2_tarski(D,k2_chord(A,k6_domain_1(k6_glib_000(A),C))) => k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),B),D) = k1_funct_1(k8_lexbfs(k3_rfunct_3(k6_glib_000(A),k4_ordinal1),k5_finsub_1(k4_ordinal1),k6_glib_000(A),k11_lexbfs(A,B,C,E)),D) ) ) ) ) ) )).
fof(t25_lfuzzy_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v5_relat_1(B,k1_rcomp_1(k5_numbers,1)) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => r2_relset_1(k2_zfmisc_1(A,A),k1_numbers,k4_lfuzzy_1(A,B,1),B) ) ) )).
fof(t25_limfunc1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v1_limfunc1(A) | v2_limfunc1(A) ) => v1_limfunc1(k56_valued_1(k4_ordinal1,k1_numbers,A)) ) ) )).
fof(t25_limfunc2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(A,C) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,C) & ~ r1_xxreal_0(A,D) & r2_hidden(D,k1_relset_1(k1_numbers,B)) ) ) ) ) => ( ! [C] : ( v1_xreal_0(C) => ~ ( v7_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) & ~ v1_seq_2(k2_partfun1(k1_numbers,k1_numbers,B,k2_rcomp_1(k6_xcmplx_0(A,C),A))) ) ) | r2_limfunc2(B,A) ) ) ) ) )).
fof(t25_limfunc3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( r3_limfunc3(C,A) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ~ ( ~ r1_xxreal_0(A,D) & ~ r1_xxreal_0(E,A) & ! [F] : ( v1_xreal_0(F) => ! [G] : ( v1_xreal_0(G) => ~ ( ~ r1_xxreal_0(F,D) & ~ r1_xxreal_0(A,F) & r2_hidden(F,k9_xtuple_0(B)) & ~ r1_xxreal_0(E,G) & ~ r1_xxreal_0(G,A) & r2_hidden(G,k9_xtuple_0(B)) ) ) ) ) ) ) ) => ( ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & r1_tarski(k9_subset_1(k1_numbers,k9_xtuple_0(B),k4_subset_1(k1_numbers,k2_rcomp_1(k6_xcmplx_0(A,D),A),k2_rcomp_1(A,k2_xcmplx_0(A,D)))),k9_subset_1(k1_numbers,k9_xtuple_0(C),k4_subset_1(k1_numbers,k2_rcomp_1(k6_xcmplx_0(A,D),A),k2_rcomp_1(A,k2_xcmplx_0(A,D))))) & ! [E] : ( v1_xreal_0(E) => ( r2_hidden(E,k9_subset_1(k1_numbers,k9_xtuple_0(B),k4_subset_1(k1_numbers,k2_rcomp_1(k6_xcmplx_0(A,D),A),k2_rcomp_1(A,k2_xcmplx_0(A,D))))) => r1_xxreal_0(k1_funct_1(B,E),k1_funct_1(C,E)) ) ) ) ) | r3_limfunc3(B,A) ) ) ) ) ) )).
fof(t25_lmod_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ! [E] : ( m1_vectsp_4(E,A,B) => ( r1_lmod_6(A,C,E) => r1_lmod_6(A,k2_vectsp_5(A,B,C,D),E) ) ) ) ) ) ) )).
fof(t25_lopban_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(k11_lopban_1(A,B))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k11_lopban_1(A,B))) => ! [E] : ( v1_xreal_0(E) => ( D = k1_rlvect_1(k11_lopban_1(A,B),C,E) <=> ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => k12_lopban_1(A,B,D,F) = k1_rlvect_1(B,k12_lopban_1(A,B,C,F),E) ) ) ) ) ) ) ) )).
fof(t25_lopban_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r1_xxreal_0(C,D) => r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,k1_normsp_0(A,k1_bhsp_4(A,B),D),k1_normsp_0(A,k1_bhsp_4(A,B),C))),k9_complex1(k5_real_1(k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),D),k8_nat_1(k1_numbers,k3_series_1(k5_normsp_0(A,B)),C)))) ) ) ) ) ) )).
fof(t25_lopban_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v2_funcsdom(A) & v1_vectsp_1(A) & v3_vectsp_1(A) & v3_group_1(A) & v5_lopban_2(A) & l1_lopban_2(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_lopban_4(A,C,D) => k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k1_lopban_4(A,k3_rlvect_1(A,C,D))),B) = k8_nat_1(u1_struct_0(A),k1_bhsp_4(A,k7_lopban_4(B,A,C,D)),B) ) ) ) ) ) )).
fof(t25_lopclset,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k7_subset_1(k1_zfmisc_1(u1_struct_0(A)),k7_lopclset(A),k3_funct_2(u1_struct_0(A),k9_setfam_1(k7_lopclset(A)),k9_lopclset(A),B)) = k3_funct_2(u1_struct_0(A),k9_setfam_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)) ) ) )).
fof(t25_lpspacc1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ( ( r1_lpspacc1(A,B,C,D,F) & r1_lpspacc1(A,B,C,E,G) ) => r1_lpspacc1(A,B,C,k2_valued_1(A,k2_numbers,k2_numbers,D,E),k2_valued_1(A,k2_numbers,k2_numbers,F,G)) ) ) ) ) ) ) ) ) )).
fof(t25_lpspace1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( m1_subset_1(F,u1_struct_0(k10_lpspace1(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k10_lpspace1(A,B,C))) => ( ( D = F & E = G ) => k3_valued_1(A,k1_numbers,k1_numbers,D,E) = k3_rlvect_1(k10_lpspace1(A,B,C),F,G) ) ) ) ) ) ) ) ) )).
fof(t25_lpspace2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [F] : ( ( v2_xxreal_0(F) & v1_xreal_0(F) ) => ( ( r2_tarski(D,k1_lpspace2(A,B,C,F)) & r2_tarski(E,k1_lpspace2(A,B,C,F)) ) => r2_tarski(k3_valued_1(A,k1_numbers,k1_numbers,D,E),k1_lpspace2(A,B,C,F)) ) ) ) ) ) ) ) )).
fof(t25_ltlaxio1,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_hilbert1)) => ( r3_ltlaxio1(B,A) => r3_ltlaxio1(B,k2_ltlaxio1(A)) ) ) ) )).
fof(t25_ltlaxio2,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => v1_ltlaxio1(k3_hilbert1(k1_ltlaxio1(k1_ltlaxio1(A)),A)) ) )).
fof(t25_ltlaxio3,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => r1_tarski(k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k4_ltlaxio3,A),k3_funct_2(k1_hilbert1,k9_setfam_1(k1_hilbert1),k6_ltlaxio3,A)) ) )).
fof(t25_ltlaxio4,axiom,( ! [A] : ( m1_subset_1(A,k1_hilbert1) => ! [B] : ( m1_subset_1(B,k1_hilbert1) => ! [C] : ( ( ~ v2_ltlaxio3(C) & v3_ltlaxio3(C) & m1_subset_1(C,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1))) ) => ! [D] : ( m2_subset_1(D,k2_zfmisc_1(k1_ltlaxio3(k1_hilbert1),k1_ltlaxio3(k1_hilbert1)),k9_ltlaxio4(C)) => ~ ( r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(C))) & ~ r2_tarski(B,k2_relset_1(k1_hilbert1,k8_ltlaxio3(D))) & ~ ( r2_tarski(A,k2_relset_1(k1_hilbert1,k8_ltlaxio3(D))) & r2_tarski(k4_hilbert1(A,B),k2_relset_1(k1_hilbert1,k8_ltlaxio3(D))) ) ) ) ) ) ) )).
fof(t25_lukasi_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k6_cqc_lang(A,k6_cqc_lang(A,B)),B),k4_cqc_the1(A)) ) ) )).
fof(t25_mathmorp,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => r1_tarski(k6_rusub_4(A,B,k3_mathmorp(A,C,D)),k3_mathmorp(A,k6_rusub_4(A,B,C),D)) ) ) ) ) )).
fof(t25_matrix10,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_matrix_0(B) & v2_matrix_0(B,k1_numbers,A,A) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( v2_matrix10(B) => v3_matrix10(B) ) ) ) )).
fof(t25_matrix11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_matrix_1(B,k9_matrix_1(A)) => ! [C] : ( m1_matrix_1(C,k9_matrix_1(A)) => ( ( ( v6_matrix_1(B,k8_matrix_1(k9_matrix_1(A))) & v6_matrix_1(C,k8_matrix_1(k9_matrix_1(A))) ) | ( ~ v6_matrix_1(B,k8_matrix_1(k9_matrix_1(A))) & ~ v6_matrix_1(C,k8_matrix_1(k9_matrix_1(A))) ) ) <=> v6_matrix_1(k1_partfun1(k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),k2_finseq_1(k8_matrix_1(k9_matrix_1(A))),C,B),k8_matrix_1(k9_matrix_1(A))) ) ) ) ) )).
fof(t25_matrix13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_matrix_0(F) & m2_finseq_1(F,k3_finseq_2(A)) ) => ! [G] : ( m2_finseq_2(G,k4_ordinal1,k4_finseq_2(E,k4_ordinal1)) => ! [H] : ( m2_finseq_2(H,k4_ordinal1,k4_finseq_2(D,k4_ordinal1)) => ( ( r2_tarski(B,k2_finseq_1(E)) & r2_tarski(C,k2_finseq_1(E)) & k1_funct_1(G,B) = k1_funct_1(G,C) ) => k7_matrix_0(A,k1_matrix13(A,F,E,D,G,H),B) = k7_matrix_0(A,k1_matrix13(A,F,E,D,G,H),C) ) ) ) ) ) ) ) ) ) )).
fof(t25_matrix14,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,D) ) => ( B = C | k1_funct_1(k3_matrix14(A,D,B),C) = k4_struct_0(A) ) ) ) ) ) ) )).
fof(t25_matrix15,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,A) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(A)) ) => ( C = k2_matrix15(A,B) <=> ( k7_matrix_0(A,C,1) = B & k3_finseq_1(C) = 1 ) ) ) ) ) )).
fof(t25_matrix16,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( v3_matrix16(C,u1_struct_0(B)) => v3_matrix16(k2_matrix_3(B,C),u1_struct_0(B)) ) ) ) ) )).
fof(t25_matrix_0,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,C,A,B) & m2_finseq_1(D,k3_finseq_2(C)) ) => ( k3_finseq_1(D) = A & k2_matrix_0(D) = k2_zfmisc_1(k2_finseq_1(A),k2_finseq_1(k1_matrix_0(D))) ) ) ) ) ) )).
fof(t25_matrix_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(B,A))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,C,A) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(C,A))) ) => ! [H] : ( m1_subset_1(H,k5_finsub_1(B)) => ! [I] : ( m1_subset_1(I,k5_finsub_1(C)) => ( ( v1_binop_1(D,A) & v2_binop_1(D,A) & v1_setwiseo(D,A) & v1_finseqop(D,A) & r6_binop_1(A,E,D) ) => ! [J] : ( m1_subset_1(J,B) => k7_setwiseo(k2_zfmisc_1(B,C),A,D,k8_matrix_3(B,C,k2_setwiseo(B,J),I),k9_matrix_3(B,C,A,E,F,G)) = k7_setwiseo(B,A,D,k2_setwiseo(B,J),k9_funcop_1(A,B,E,F,k7_setwiseo(C,A,D,I,G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_matrix_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(u1_struct_0(A))) ) => ! [C] : ( ( v1_matrix_0(C) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(A))) ) => ! [D] : ( ( v1_matrix_0(D) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(A))) ) => ( ( k3_finseq_1(B) = k3_finseq_1(C) & k3_finseq_1(C) = k3_finseq_1(D) & k1_matrix_0(B) = k1_matrix_0(C) & k1_matrix_0(C) = k1_matrix_0(D) ) => k3_matrix_3(A,k1_matrix_4(A,B,C),D) = k3_matrix_3(A,k1_matrix_4(A,D,C),B) ) ) ) ) ) )).
fof(t25_matrix_5,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k2_numbers)) ) => ( ~ r1_xxreal_0(k3_finseq_1(A),k5_numbers) => k7_matrix_5(k5_numbers,A) = k8_matrix_5(k3_finseq_1(A),k1_matrix_0(A)) ) ) )).
fof(t25_matrix_6,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v2_matrix_1(C,A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) & v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & v3_matrix_1(C,A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => v2_matrix_6(C,A,B) ) ) ) ) )).
fof(t25_matrix_7,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_group_1(A) & v3_group_1(A) & l3_algstr_0(A) ) => ! [B] : ( m2_finseq_1(B,u1_struct_0(A)) => k3_group_4(A,k8_finseq_1(u1_struct_0(A),k4_matrix_7(A,k4_finseq_5(u1_struct_0(A),B)),B)) = k1_group_1(A) ) ) )).
fof(t25_matrix_8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(B),A,A) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(B))) ) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,u1_struct_0(B),A,A) & m2_finseq_1(D,k3_finseq_2(u1_struct_0(B))) ) => ( ( v2_matrix_8(C,A,B) & v2_matrix_8(D,A,B) & k4_matrix_3(B,C,D) = k2_matrix_3(B,k4_matrix_3(B,D,C)) ) => ( r1_xxreal_0(A,k5_numbers) | v2_matrix_8(k3_matrix_3(B,C,D),A,B) ) ) ) ) ) ) )).
fof(t25_matrix_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( ( v1_matrix_0(K) & v2_matrix_0(K,u1_struct_0(A),3,3) & m2_finseq_1(K,k3_finseq_2(u1_struct_0(A))) ) => ( K = k3_finseq_4(k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A))),k3_finseq_4(u1_struct_0(A),B,C,D),k3_finseq_4(u1_struct_0(A),E,F,G),k3_finseq_4(u1_struct_0(A),H,I,J)) => ! [L] : ( m1_matrix_1(L,k9_matrix_1(3)) => ( L = k3_finseq_4(k4_ordinal1,3,1,2) => k10_matrix_3(3,A,K,L) = k3_finseq_4(u1_struct_0(A),D,E,I) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_matrixc1,axiom,( ! [A] : ( m2_finseq_1(A,k2_numbers) => ! [B] : ( m2_finseq_1(B,k2_numbers) => ! [C] : ( m1_subset_1(C,k2_numbers) => ( k3_finseq_1(A) = k3_finseq_1(B) => k5_matrixc1(A,k10_seq_4(B,C)) = k10_seq_4(k5_matrixc1(A,B),C) ) ) ) ) )).
fof(t25_matrixj1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( ( v1_matrixj1(D,A) & m2_finseq_1(D,k3_finseq_2(k3_finseq_2(A))) ) => ! [E] : ( ( v1_matrixj1(E,A) & m2_finseq_1(E,k3_finseq_2(k3_finseq_2(A))) ) => m1_subset_1(k2_matrix_0(k13_matrixj1(A,B,D)),k1_zfmisc_1(k2_matrix_0(k13_matrixj1(A,C,k3_matrixj1(A,D,E))))) ) ) ) ) ) )).
fof(t25_matrixj2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => ! [D] : ( m1_matrixj2(D,A,k4_struct_0(A)) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,u1_struct_0(A),k3_finseq_1(C),k3_finseq_1(C)) & m2_finseq_1(E,k3_finseq_2(u1_struct_0(A))) ) => ( E = k20_matrixj1(u1_struct_0(A),k4_struct_0(A),D) => ! [F] : ( v7_ordinal1(F) => ( ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k4_finseq_1(D)) => r1_xxreal_0(k3_finseq_1(k14_matrixj1(u1_struct_0(A),D,G)),F) ) ) => r2_funct_2(u1_struct_0(B),u1_struct_0(B),k1_vectsp11(B,k4_matrlin2(A,B,B,C,C,E),F),k6_grcat_1(B,B)) ) ) ) ) ) ) ) ) )).
fof(t25_matrixr1,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( k3_finseq_1(k3_matrixr1(A,B)) = k3_finseq_1(A) & k1_matrix_0(k3_matrixr1(A,B)) = k1_matrix_0(A) & ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ( r2_hidden(k4_tarski(C,D),k2_matrix_0(A)) => k3_matrix_0(k1_numbers,k3_matrixr1(A,B),C,D) = k3_real_1(k3_matrix_0(k1_numbers,A,C,D),k3_matrix_0(k1_numbers,B,C,D)) ) ) ) ) ) ) )).
fof(t25_matrixr2,axiom,( ! [A] : ( ( v1_matrix_0(A) & m2_finseq_1(A,k3_finseq_2(k1_numbers)) ) => ! [B] : ( ( v1_matrix_0(B) & m2_finseq_1(B,k3_finseq_2(k1_numbers)) ) => ( ( k3_finseq_1(A) = k3_finseq_1(B) & k1_matrix_0(A) = k1_matrix_0(B) ) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(1,C) & r1_xxreal_0(C,k3_finseq_1(A)) ) => k7_matrix_0(k1_numbers,k5_matrixr1(A,B),C) = k8_rvsum_1(k7_matrix_0(k1_numbers,A,C),k7_matrix_0(k1_numbers,B,C)) ) ) ) ) ) )).
fof(t25_matrlin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ~ v1_xboole_0(F) => ! [G] : ( ( v1_matrix_0(G) & v2_matrix_0(G,F,B,A) & m2_finseq_1(G,k3_finseq_2(F)) ) => ! [H] : ( ( v1_matrix_0(H) & v2_matrix_0(H,F,D,A) & m2_finseq_1(H,k3_finseq_2(F)) ) => ( ( r2_tarski(E,k9_xtuple_0(H)) & C = k2_xcmplx_0(k3_finseq_1(G),E) ) => k7_matrix_0(F,k8_matrlin(F,B,D,A,G,H),C) = k7_matrix_0(F,H,E) ) ) ) ) ) ) ) ) ) )).
fof(t25_matrlin2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_matrlin(C,A,B) => ! [D] : ( m1_vectsp_4(D,A,B) => ( D = k2_vectsp_4(A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(D)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_matrlin(G,A,D) => ( ( F = E & C = G ) => k9_matrlin(A,B,C,F) = k9_matrlin(A,D,G,E) ) ) ) ) ) ) ) ) ) )).
fof(t25_matroid0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v3_pencil_1(A) & v1_matroid0(A) & v2_matroid0(A) & v4_matroid0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => r1_xxreal_0(k2_xcmplx_0(k4_matroid0(A,k4_subset_1(u1_struct_0(A),B,C)),k4_matroid0(A,k9_subset_1(u1_struct_0(A),B,C))),k2_xcmplx_0(k4_matroid0(A,B),k4_matroid0(A,C))) ) ) ) )).
fof(t25_matrprob,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( ( v1_matrix_0(D) & v2_matrix_0(D,k1_numbers,B,A) & m2_finseq_1(D,k3_finseq_2(k1_numbers)) ) => ! [E] : ( ( v1_matrix_0(E) & v2_matrix_0(E,k1_numbers,C,A) & m2_finseq_1(E,k3_finseq_2(k1_numbers)) ) => k3_matrprob(k8_matrlin(k1_numbers,B,C,A,D,E)) = k8_finseq_1(k1_numbers,k3_matrprob(D),k3_matrprob(E)) ) ) ) ) ) )).
fof(t25_matrtop2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_matrix_0(C) & v2_matrix_0(C,u1_struct_0(k2_vectsp_1),A,B) & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k2_vectsp_1))) ) => ! [D] : ( ( v1_rlaffin1(D,k15_euclid(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k8_matrix13(k2_vectsp_1,C) = A => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(A))) => ( r2_tarski(E,k4_rlaffin1(k15_euclid(A),D)) => ( r2_tarski(k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C),E),k4_rlaffin1(k15_euclid(B),k2_ranknull(k15_euclid(A),k15_euclid(B),k3_matrtop1(A,B,C),D))) & ! [F] : ( ( v1_relat_1(F) & v1_funct_1(F) & v3_card_1(F,A) & v1_finseq_1(F) & v3_valued_0(F) ) => k1_funct_1(k5_rlaffin1(k15_euclid(A),D,E),F) = k1_funct_1(k5_rlaffin1(k15_euclid(B),k2_ranknull(k15_euclid(A),k15_euclid(B),k3_matrtop1(A,B,C),D),k3_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(B)),k3_matrtop1(A,B,C),E)),k1_funct_1(k3_matrtop1(A,B,C),F)) ) ) ) ) ) ) ) ) ) )).
fof(t25_matrtop3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( m1_subset_1(E,u1_struct_0(k15_euclid(D))) => ~ ( r1_xxreal_0(1,B) & ~ r1_xxreal_0(C,B) & r1_xxreal_0(C,D) & r1_xxreal_0(k1_square_1(A),k2_xcmplx_0(k1_square_1(k1_funct_1(E,B)),k1_square_1(k1_funct_1(E,C)))) & ! [F] : ( v1_xreal_0(F) => k1_funct_1(k3_funct_2(u1_struct_0(k15_euclid(D)),u1_struct_0(k15_euclid(D)),k3_matrtop1(D,D,k2_matrtop3(D,F,B,C)),E),C) != A ) ) ) ) ) ) ) )).
fof(t25_mboolean,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r1_pboole(A,C,B) => r2_pboole(A,C,k2_mboolean(A,B)) ) ) ) )).
fof(t25_measure1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,B,k6_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ( v6_supinf_2(D) => v6_supinf_2(k1_partfun1(A,B,B,k6_numbers,C,D)) ) ) ) ) ) )).
fof(t25_measure6,axiom,( ! [A] : ( v1_xreal_0(A) => k1_measure6(k1_xboole_0,A) = k1_xboole_0 ) )).
fof(t25_measure8,axiom,( ! [A] : ! [B] : ( m1_measure4(B,A) => ! [C] : ( ( v5_relat_1(C,k1_measure4(A,B)) & v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => r2_tarski(k1_prob_1(A,C),k1_measure4(A,B)) ) ) )).
fof(t25_member_1,axiom,( ! [A] : ( v2_membered(A) => k4_member_1(k6_member_1(A)) = k6_member_1(k4_member_1(A)) ) )).
fof(t25_membered,axiom,( ! [A] : ( ! [B] : ( r2_tarski(B,A) => v1_membered(B) ) => v1_membered(k3_tarski(A)) ) )).
fof(t25_memstr_0,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & l1_memstr_0(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,u1_struct_0(B)) & v1_funct_1(C) & v5_funct_1(C,k2_memstr_0(A,B)) & v1_partfun1(C,u1_struct_0(B)) ) => k9_xtuple_0(C) = k2_xboole_0(k6_domain_1(u1_struct_0(B),k4_struct_0(B)),k9_xtuple_0(k6_memstr_0(A,B,C))) ) ) ) )).
fof(t25_mesfun6c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k2_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( m2_subset_1(F,k1_zfmisc_1(A),B) => ( ( r2_mesfun6c(A,B,C,D) & F = k7_subset_1(A,k1_relset_1(A,D),E) ) => ( r2_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,E)) & k1_mesfun6c(A,B,C,D) = k2_xcmplx_0(k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,E)),k1_mesfun6c(A,B,C,k2_partfun1(A,k2_numbers,D,F))) ) ) ) ) ) ) ) ) )).
fof(t25_mesfun7c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & v1_mesfunc8(B,A,k2_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( ! [C] : ( m1_subset_1(C,A) => ( r2_tarski(C,k1_relset_1(A,k4_mesfunc5(A,k2_numbers,B,k5_numbers))) => v2_comseq_2(k9_mesfun7c(A,B,C)) ) ) => ( k8_mesfun7c(A,k11_mesfun7c(A,B)) = k5_comseq_3(A,k10_mesfun7c(A,B)) & k8_mesfun7c(A,k12_mesfun7c(A,B)) = k6_comseq_3(A,k10_mesfun7c(A,B)) ) ) ) ) )).
fof(t25_mesfun9c,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k2_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k2_numbers)))) ) => ( v1_mesfunc8(k11_mesfun7c(A,B),A,k1_numbers) <=> v1_mesfunc8(k12_mesfun7c(A,B),A,k1_numbers) ) ) ) )).
fof(t25_mesfunc1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,B))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [E] : ( ! [F] : ( v7_ordinal1(F) => k8_nat_1(B,C,F) = k9_subset_1(A,E,k14_mesfunc1(A,D,k4_xcmplx_0(F))) ) => k9_subset_1(A,E,k18_mesfunc1(A,D,k2_supinf_1)) = k1_measure2(A,B,k1_measure3(A,B,C)) ) ) ) ) )).
fof(t25_mesfunc2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [D] : ( m1_subset_1(D,C) => ( r1_mesfunc1(A,C,B,D) => r1_mesfunc1(A,C,k1_mesfunc2(A,B),D) ) ) ) ) ) )).
fof(t25_mesfunc5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k6_numbers))) ) => ( ( v3_mesfunc5(B) & v4_mesfunc5(B) & v3_mesfunc5(C) & v4_mesfunc5(C) ) => r2_relset_1(A,k6_numbers,k3_mesfunc1(A,k3_mesfunc1(A,k1_mesfunc2(A,k3_mesfunc1(A,B,C)),k2_mesfunc2(A,B)),k2_mesfunc2(A,C)),k3_mesfunc1(A,k3_mesfunc1(A,k2_mesfunc2(A,k3_mesfunc1(A,B,C)),k1_mesfunc2(A,B)),k1_mesfunc2(A,C))) ) ) ) ) )).
fof(t25_mesfunc6,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ! [F] : ( v1_xreal_0(F) => ~ ( r1_mesfunc6(A,B,C,E) & r1_mesfunc6(A,B,D,E) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k3_numbers,B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_numbers,B))) ) => ~ ! [H] : ( v1_rat_1(H) => k1_funct_1(G,H) = k9_subset_1(A,k8_subset_1(A,E,k10_mesfunc1(C,H)),k8_subset_1(A,E,k10_mesfunc1(D,k6_xcmplx_0(F,H)))) ) ) ) ) ) ) ) ) ) )).
fof(t25_mesfunc7,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,k6_numbers) & v10_valued_0(C) & v6_supinf_2(C) & v4_measure1(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k6_numbers))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ! [E] : ( m2_subset_1(E,k1_zfmisc_1(A),B) => ( ~ r1_xxreal_0(k1_supinf_1,k12_supinf_2(C,k5_prob_1(A,B,D,E))) => k7_mesfunc5(A,B,C,k2_partfun1(A,k6_numbers,k3_mesfunc2(D,A),E)) = k12_supinf_2(C,k5_prob_1(A,B,D,E)) ) ) ) ) ) ) )).
fof(t25_mesfunc8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k4_partfun1(A,k6_numbers)) & v1_mesfunc8(C,A,k6_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [D] : ( m2_subset_1(D,k1_zfmisc_1(A),B) => ( ( k1_relset_1(A,k4_mesfunc5(A,k6_numbers,C,k5_numbers)) = D & ! [E] : ( v7_ordinal1(E) => r1_mesfunc1(A,B,k4_mesfunc5(A,k6_numbers,C,E),D) ) & ! [E] : ( m1_subset_1(E,A) => ( r2_tarski(E,D) => v10_mesfunc5(k3_mesfunc5(A,C,E)) ) ) ) => r1_mesfunc1(A,B,k7_mesfunc8(A,C),D) ) ) ) ) ) )).
fof(t25_mesfunc9,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k6_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k6_numbers)))) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ~ ( r2_tarski(D,k1_relset_1(A,k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C))) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,k3_mesfunc9(A,B),C),D) = k2_supinf_1 & ! [E] : ( v7_ordinal1(E) => ~ ( r1_xxreal_0(E,C) & k12_supinf_2(k4_mesfunc5(A,k6_numbers,B,E),D) = k2_supinf_1 ) ) ) ) ) ) )).
fof(t25_metric_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_metric_1(A) ) => ( ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & r1_xxreal_0(k1_metric_1(A,B,C),k5_numbers) ) ) ) <=> v11_metric_1(A) ) ) )).
fof(t25_metric_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_numbers) => ( r2_tarski(B,k5_metric_2(A)) <=> ? [C] : ( m1_subset_1(C,k2_metric_2(A)) & ? [D] : ( m1_subset_1(D,k2_metric_2(A)) & r4_metric_2(A,C,D,B) ) ) ) ) ) )).
fof(t25_metric_3,axiom,( ! [A] : ( m1_subset_1(A,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers)) => ( k2_binop_1(k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k3_zfmisc_1(k1_numbers,k1_numbers,k1_numbers),k1_numbers,k20_metric_3,A,B) = k5_numbers <=> A = B ) ) ) )).
fof(t25_metric_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_tbsp_1(B,A) & m2_valued_0(C,u1_struct_0(A),B) ) => v3_tbsp_1(C,A) ) ) ) ) )).
fof(t25_metrizts,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_pcomps_1(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_connsp_1(A,B,C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ r2_metrizts(A,B,C,D) ) ) ) ) ) )).
fof(t25_mfold_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k15_euclid(A))) => k7_relset_1(u1_struct_0(k15_euclid(A)),u1_struct_0(k15_euclid(A)),k3_rltopsp1(k15_euclid(A),C),k2_mfold_2(A,B,D)) = k2_mfold_2(A,B,k3_rlvect_1(k15_euclid(A),C,D)) ) ) ) ) )).
fof(t25_midsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_midsp_1(A) & l1_midsp_1(A) ) => ! [B] : ( m1_subset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) => ( ~ v1_xboole_0(a_2_0_midsp_1(A,B)) & m1_subset_1(a_2_0_midsp_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) ) ) )).
fof(t25_midsp_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_midsp_2(B) & l2_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),u1_struct_0(B)))) ) => ( r1_midsp_2(A,B,C) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( k4_binop_1(A,k6_midsp_2(A,B,C),D,E) = F <=> k2_binop_1(A,A,u1_struct_0(B),C,D,F) = k2_binop_1(A,A,u1_struct_0(B),C,F,E) ) ) ) ) ) ) ) ) )).
fof(t25_midsp_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_midsp_3(B,A) => ! [C] : ( m2_midsp_3(C,A) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_subset_1(E,u1_struct_0(C)) => ! [F] : ( m2_finseq_2(F,u1_struct_0(C),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(C))) => ! [G] : ( ( v4_midsp_2(G,C) & l1_midsp_2(G,C) ) => ! [H] : ( m1_subset_1(H,u1_struct_0(u1_midsp_2(C,G))) => ! [I] : ( m2_finseq_2(I,u1_struct_0(u1_midsp_2(C,G)),k4_finseq_2(k1_nat_1(A,1),u1_struct_0(u1_midsp_2(C,G)))) => ( ( k8_midsp_3(A,C,G,D,F) = I & k9_midsp_2(C,G,D,E) = H ) => k8_midsp_3(A,C,G,D,k6_midsp_3(A,C,F,B,E)) = k1_midsp_3(u1_struct_0(u1_midsp_2(C,G)),k1_nat_1(A,1),I,B,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_mmlquery,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( ( r1_tarski(B,C) & r1_relset_1(A,A,D,E) ) => r1_tarski(k2_mmlquery(A,D,B),k2_mmlquery(A,E,C)) ) ) ) ) ) )).
fof(t25_mod_2,axiom,( ! [A] : ( m1_subset_1(A,k1_enumset1(k5_numbers,1,2)) => ! [B] : ( m1_subset_1(B,k1_enumset1(k5_numbers,1,2)) => ! [C] : ( m1_subset_1(C,k1_enumset1(k5_numbers,1,2)) => ! [D] : ( m1_subset_1(D,k1_enumset1(k5_numbers,1,2)) => ! [E] : ( m1_subset_1(E,k1_enumset1(k5_numbers,1,2)) => ( ( D = k5_numbers & E = 1 ) => ( k11_mod_2(A,B) = k11_mod_2(B,A) & k11_mod_2(k11_mod_2(A,B),C) = k11_mod_2(A,k11_mod_2(B,C)) & k11_mod_2(A,D) = A & k11_mod_2(A,k10_mod_2(A)) = D & k12_mod_2(A,B) = k12_mod_2(B,A) & k12_mod_2(k12_mod_2(A,B),C) = k12_mod_2(A,k12_mod_2(B,C)) & k12_mod_2(E,A) = A & ~ ( A != D & ! [F] : ( m1_subset_1(F,k1_enumset1(k5_numbers,1,2)) => k12_mod_2(A,F) != E ) ) & D != E & k12_mod_2(A,k11_mod_2(B,C)) = k11_mod_2(k12_mod_2(A,B),k12_mod_2(A,C)) ) ) ) ) ) ) ) )).
fof(t25_mod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ( v8_mod_4(k3_struct_0(A),A,A) <=> ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) ) ) )).
fof(t25_modal_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v3_trees_2(B) ) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(B)) => ! [D] : ( m1_trees_1(D,k9_xtuple_0(B)) => ( ( C = k14_trees_3(k5_numbers) & D = k14_trees_3(1) & k1_trees_2(k9_xtuple_0(B),k1_modal_1(k9_xtuple_0(B))) = k7_domain_1(k9_xtuple_0(B),C,D) ) => B = k7_trees_2(k7_trees_2(k8_funcop_1(A,k2_trees_1(2),k2_modal_1(A,B)),k14_trees_3(k5_numbers),k5_trees_2(B,C)),k14_trees_3(1),k5_trees_2(B,D)) ) ) ) ) ) )).
fof(t25_modelc_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [C] : ( m1_subset_1(C,A) => ? [D] : ( m1_modelc_1(D,A,B) & k3_funct_2(k4_ordinal1,A,D,k5_numbers) = C ) ) ) ) )).
fof(t25_modelc_2,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_2(B) & m2_finseq_1(B,k4_ordinal1) ) => ( v8_modelc_2(A) => ( r1_modelc_2(B,A) <=> ( B = k11_modelc_2(A) | B = k12_modelc_2(A) ) ) ) ) ) )).
fof(t25_modelc_3,axiom,( ! [A] : ( ( v1_modelc_2(A) & m2_finseq_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_modelc_3(B,A) & l1_modelc_3(B,A) ) => ! [C] : ( ( v1_modelc_3(C,A) & l1_modelc_3(C,A) ) => ( r4_modelc_3(A,B,C) => ( r1_tarski(u1_modelc_3(A,B),u1_modelc_3(A,C)) & r1_tarski(u3_modelc_3(A,B),u3_modelc_3(A,C)) ) ) ) ) ) )).
fof(t25_moebius1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ v1_moebius1(k3_xcmplx_0(A,B)) & v1_moebius1(A) ) ) ) )).
fof(t25_moebius2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & v4_partfun3(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v1_series_1(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,k5_numbers) & ! [C] : ( m1_subset_1(C,k4_ordinal1) => r1_xxreal_0(B,k4_series_1(k1_valued_0(k1_numbers,A,C))) ) ) ) ) ) )).
fof(t25_monoid_0,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m2_monoid_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( ( C = E & D = F ) => k6_algstr_0(B,C,D) = k6_algstr_0(A,E,F) ) ) ) ) ) ) ) )).
fof(t25_monoid_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v1_group_1(B) & l3_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & m2_monoid_0(C,B) ) => ( r2_tarski(k3_binop_1(u1_struct_0(B),u2_algstr_0(B)),u1_struct_0(C)) => m3_monoid_0(k9_monoid_1(C,A),k11_monoid_1(B,A)) ) ) ) )).
fof(t25_morph_01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => k1_morph_01(A,k1_morph_01(A,B,C),D) = k1_morph_01(A,B,k2_morph_01(A,C,D)) ) ) ) ) )).
fof(t25_msafree3,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v1_instalg1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => k10_msualg_2(A,k11_msafree(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers)))),k5_msafree3(A,k2_pboole(u1_struct_0(A),B,k8_funcop_1(k1_zfmisc_1(k4_ordinal1),u1_struct_0(A),k6_domain_1(k4_ordinal1,k5_numbers))),B)) = k1_msafree3(A,B) ) ) )).
fof(t25_msafree4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( l3_msualg_1(B,A) => ! [C] : ( l3_msualg_1(C,A) => ( g3_msualg_1(A,u3_msualg_1(A,B),u4_msualg_1(A,B)) = g3_msualg_1(A,u3_msualg_1(A,C),u4_msualg_1(A,C)) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ! [E] : ( m3_pboole(E,u1_struct_0(A),u3_msualg_1(A,C)) => ( r8_pboole(u1_struct_0(A),D,E) => ! [F] : ( m1_subset_1(F,u4_struct_0(A)) => ( r1_msualg_2(A,B,F,D) => k3_msualg_2(A,C,F,E) = k3_msualg_2(A,B,F,D) ) ) ) ) ) ) ) ) ) )).
fof(t25_msafree5,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(B)) => ! [D] : ( ( v1_relat_1(D) & v2_relat_1(D) & v4_relat_1(D,u1_struct_0(B)) & v1_funct_1(D) & v1_partfun1(D,u1_struct_0(B)) ) => ! [E] : ( ( v5_msafree4(E,B,D) & v6_msafree4(E,B,D) & v7_msafree4(E,B,D) & v8_msafree4(E,B,D) & l3_msualg_1(E,B) ) => ! [F] : ( m1_msafree4(F,k3_finseq_2(u1_struct_0(B)),k6_finseq_2(u1_struct_0(B),u3_msualg_1(B,E)),k3_msualg_1(B,C,E)) => ( r2_tarski(A,k4_finseq_1(F)) => k3_msafree5(B,E,k7_partfun1(k3_card_3(u3_msualg_1(B,E)),F,A)) = k7_partfun1(u1_struct_0(B),k1_msualg_1(B,C),A) ) ) ) ) ) ) ) )).
fof(t25_msaterm,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( m1_trees_4(D,k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ~ ( ( k3_finseq_1(D) = k3_finseq_1(k1_msualg_1(A,C)) | k4_finseq_1(D) = k4_finseq_1(k1_msualg_1(A,C)) ) & ( ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( F = k1_funct_1(D,E) => k7_msaterm(A,B,F) = k1_funct_1(k1_msualg_1(A,C),E) ) ) ) ) | ! [E] : ( v7_ordinal1(E) => ( r2_tarski(E,k4_finseq_1(D)) => ! [F] : ( m1_dtconstr(F,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) => ( F = k1_funct_1(D,E) => k7_msaterm(A,B,F) = k7_partfun1(u1_struct_0(A),k1_msualg_1(A,C),E) ) ) ) ) ) & ~ m1_msaterm(D,A,B,k2_msaterm(A,B,C)) ) ) ) ) ) )).
fof(t25_msscyc_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v4_msscyc_1(A) => v1_finset_1(k1_msualg_2(A,B,C)) ) ) ) ) )).
fof(t25_mssubfam,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v1_funcop_1(C) ) => ( ( r2_pboole(A,B,k2_funct_6(C)) & ! [D] : ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( ( r2_tarski(D,A) & E = k1_funct_1(C,D) ) => v1_finset_1(k8_relat_1(E,k1_funct_1(B,D))) ) ) ) => v2_finset_1(B) ) ) ) )).
fof(t25_mssublat,axiom,( ! [A] : ( ( ~ v11_struct_0(A) & v13_struct_0(A,1) & v5_msualg_1(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ( u1_struct_0(A) = k1_tarski(k5_numbers) => u3_msualg_1(A,B) = u3_msualg_1(k6_msualg_1(k12_msualg_1(A,B)),k9_msualg_1(k12_msualg_1(A,B))) ) ) ) )).
fof(t25_msualg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m1_msualg_2(C,A,B) => ! [D] : ( m3_pboole(D,u1_struct_0(A),u3_msualg_1(A,B)) => ( r8_pboole(u1_struct_0(A),D,u3_msualg_1(A,B)) => k13_msualg_2(A,B,k12_msualg_2(A,B,D),C) = k12_msualg_2(A,B,D) ) ) ) ) ) )).
fof(t25_msualg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ( r1_msualg_3(A,B,C,D) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( r1_rewrite1(k3_msualg_6(A),E,F) => ! [G] : ( m2_msualg_6(G,A,B,E,F) => ? [H] : ( m2_msualg_6(H,A,C,E,F) & r2_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),F),k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),E),k1_funct_1(u3_msualg_1(A,C),F),k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,E),H),k1_partfun1(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,B),F),k1_funct_1(u3_msualg_1(A,C),F),G,k1_msualg_3(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),D,F))) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_msualg_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_pboole(C,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,k7_msafree2(A))) => r2_msualg_3(A,B,k7_msafree2(A),C) ) ) ) )).
fof(t25_msuhom_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => r8_pboole(u1_struct_0(k6_msualg_1(A)),k2_msuhom_1(A,A,k6_partfun1(u1_struct_0(A))),k2_msualg_3(u1_struct_0(k6_msualg_1(A)),u3_msualg_1(k6_msualg_1(A),k9_msualg_1(A)))) ) )).
fof(t25_mycielsk,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( ( v6_dilworth(B,A) & m1_eqrel_1(B,u1_struct_0(A)) ) => ( v5_dilworth(B,k3_necklace(A)) & m1_eqrel_1(B,u1_struct_0(k3_necklace(A))) ) ) ) )).
fof(t25_nagata_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(A),k1_numbers)),k9_funct_2(u1_struct_0(A),k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(u1_struct_0(A),k1_numbers),k9_funct_2(u1_struct_0(A),k1_numbers)),k9_funct_2(u1_struct_0(A),k1_numbers)))) ) => ( ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => k1_binop_1(B,C,D) = k3_nagata_1(A,C,D) ) ) => ! [C] : ( m2_finseq_1(C,k9_funct_2(u1_struct_0(A),k1_numbers)) => ( ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( r1_xxreal_0(D,k3_finseq_1(C)) => ( k5_numbers = D | ( v1_funct_1(k1_funct_1(C,D)) & v1_funct_2(k1_funct_1(C,D),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k1_funct_1(C,D),A) & m1_subset_1(k1_funct_1(C,D),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) => ( v1_funct_1(k1_finsop_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,B)) & v1_funct_2(k1_finsop_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,B),u1_struct_0(A),k1_numbers) & v1_pscomp_1(k1_finsop_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,B),A) & m1_subset_1(k1_finsop_1(k9_funct_2(u1_struct_0(A),k1_numbers),C,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) ) ) ) ) ) )).
fof(t25_nat_1,axiom,( ! [A] : ( v7_ordinal1(A) => ~ ( r1_xxreal_0(A,1) & A != k5_numbers & A != 1 ) ) )).
fof(t25_nat_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(A,k3_xcmplx_0(2,B)) => r1_xxreal_0(k3_nat_d(k1_nat_1(A,1),2),B) ) ) ) )).
fof(t25_nat_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ( ~ r1_xxreal_0(B,1) => k11_nat_3(k1_newton(B,A),B) = A ) ) ) )).
fof(t25_nat_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ! [C] : ( m1_subset_1(C,k4_ordinal1) => ! [D] : ( m1_subset_1(D,k4_ordinal1) => ! [E] : ( m1_subset_1(E,k4_ordinal1) => ! [F] : ( m1_subset_1(F,k4_ordinal1) => ( ( k6_xcmplx_0(A,1) = k2_nat_1(k11_newton(F,D),C) & v1_int_2(F) & k4_nat_d(k11_newton(E,k7_nat_d(A,1)),A) = 1 & k6_nat_d(k7_nat_d(k11_newton(E,k3_nat_d(k7_nat_d(A,1),F)),1),A) = 1 ) => ( r1_xxreal_0(k11_newton(F,D),C) | r1_xxreal_0(C,k5_numbers) | v1_int_2(A) ) ) ) ) ) ) ) ) )).
fof(t25_nat_5,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,k4_ordinal1) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k4_ordinal1))) ) => ! [D] : ( ( v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(A)) ) => ( C = B => k2_uproots(D,k1_nat_5(A,C,D)) = k21_rfunct_3(A,B,D) ) ) ) ) ) )).
fof(t25_nat_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( v1_int_1(B) => ( ( k1_nat_6(A,B) = 1 => ( k3_int_2(B,A) = 1 & r1_int_5(B,A) ) ) & ( ( k3_int_2(B,A) = 1 & r1_int_5(B,A) ) => k1_nat_6(A,B) = 1 ) & ( k1_nat_6(A,B) = k5_numbers => r1_int_1(A,B) ) & ( r1_int_1(A,B) => k1_nat_6(A,B) = k5_numbers ) & ( k1_nat_6(A,B) = k4_xcmplx_0(1) => ( k3_int_2(B,A) = 1 & ~ r1_int_5(B,A) ) ) & ( k3_int_2(B,A) = 1 => ( r1_int_5(B,A) | k1_nat_6(A,B) = k4_xcmplx_0(1) ) ) ) ) ) )).
fof(t25_nat_d,axiom,( ! [A] : ( v7_ordinal1(A) => k2_nat_d(A,A) = k5_numbers ) )).
fof(t25_nattra_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & v2_cat_1(B) & v3_cat_1(B) & v4_cat_1(B) & v5_cat_1(B) & v6_cat_1(B) & l1_cat_1(B) ) => ! [C] : ( m2_cat_1(C,A,B) => ! [D] : ( m2_cat_1(D,A,B) => ! [E] : ( m2_cat_1(E,A,B) => ( ( r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) ) => ! [F] : ( m2_nattra_1(F,A,B,C,D) => ! [G] : ( m2_nattra_1(G,A,B,D,E) => ! [H] : ( m1_subset_1(H,u1_struct_0(A)) => k2_nattra_1(A,B,C,E,k5_nattra_1(A,B,C,D,E,F,G),H) = k5_cat_1(B,k8_cat_1(A,B,C,H),k8_cat_1(A,B,D,H),k8_cat_1(A,B,E,H),k2_nattra_1(A,B,C,D,F,H),k2_nattra_1(A,B,D,E,G,H)) ) ) ) ) ) ) ) ) ) )).
fof(t25_ncfcont1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_clvect_1(A) & v3_clvect_1(A) & v4_clvect_1(A) & v5_clvect_1(A) & v8_clvect_1(A) & l2_clvect_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(B)))) ) => ( r1_tarski(k2_relset_1(u1_struct_0(B),E),k9_subset_1(u1_struct_0(B),k1_relset_1(u1_struct_0(B),C),k1_relset_1(u1_struct_0(B),D))) => ( r2_funct_2(k4_ordinal1,u1_struct_0(A),k8_funct_2(k4_ordinal1,u1_struct_0(A),u1_struct_0(B),E,k3_vfunct_2(u1_struct_0(B),A,C,D)),k1_normsp_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(A),u1_struct_0(B),E,D))) & r2_funct_2(k4_ordinal1,u1_struct_0(A),k8_funct_2(k4_ordinal1,u1_struct_0(A),u1_struct_0(B),E,k2_vfunct_1(u1_struct_0(B),A,C,D)),k2_normsp_1(A,k8_funct_2(k4_ordinal1,u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(A),u1_struct_0(B),E,D))) ) ) ) ) ) ) ) )).
fof(t25_ncfcont2,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v3_normsp_0(C) & v4_normsp_0(C) & v2_clvect_1(C) & v3_clvect_1(C) & v4_clvect_1(C) & v5_clvect_1(C) & v8_clvect_1(C) & l2_clvect_1(C) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( r13_ncfcont1(B,C,A,D) => r1_ncfcont2(A,B,C,D) ) ) ) ) )).
fof(t25_ndiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v1_partfun1(C,u1_struct_0(A)) & v1_partfun1(D,u1_struct_0(A)) ) => ( r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k6_vfunct_1(u1_struct_0(A),B,C,D)),k1_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) & r2_funct_2(k4_ordinal1,u1_struct_0(B),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,k2_vfunct_1(u1_struct_0(A),B,C,D)),k2_normsp_1(B,k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,C),k8_funct_2(k4_ordinal1,u1_struct_0(B),u1_struct_0(A),E,D))) ) ) ) ) ) ) ) )).
fof(t25_ndiff_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ? [B] : ( v1_funct_1(B) & v1_ndiff_3(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) & k7_partfun1(u1_struct_0(A),B,k5_numbers) = k4_struct_0(A) & r1_nfcont_3(A,B,k5_numbers) ) ) )).
fof(t25_ndiff_4,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(k4_real_ns1(A))))) ) => ! [C] : ( v1_xreal_0(C) => ( r1_ndiff_3(k4_real_ns1(A),B,C) <=> ! [D] : ( m1_subset_1(D,k4_ordinal1) => ( ( r1_xxreal_0(1,D) & r1_xxreal_0(D,A) ) => r1_ndiff_3(k4_real_ns1(1),k1_partfun1(k1_numbers,u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(1)),B,k4_pdiff_1(D,A)),C) ) ) ) ) ) ) )).
fof(t25_ndiff_5,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [D] : ! [E] : ( ( r2_tarski(E,k4_finseq_1(A)) & r2_ndiff_5(A,B,E,C,D) ) => m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) ) ) ) ) )).
fof(t25_ndiff_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( v7_ordinal1(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( ( v1_funct_1(F) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r1_xxreal_0(1,D) & r1_ndiff_6(A,B,F,C,D) ) => r1_ndiff_6(A,B,k4_vfunct_1(u1_struct_0(A),B,F,E),C,D) ) ) ) ) ) ) ) )).
fof(t25_ndiff_7,axiom,( ! [A] : ( ( v1_relat_1(A) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_prvect_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(B)))) ) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k14_prvect_2(A)))) => ( ( v3_nfcont_1(F,k14_prvect_2(A)) & r2_tarski(C,k4_finseq_1(A)) & r2_ndiff_5(A,B,C,D,F) ) => ( r2_ndiff_5(A,B,C,k4_vfunct_1(u1_struct_0(k14_prvect_2(A)),B,D,E),F) & r2_relset_1(u1_struct_0(k14_prvect_2(A)),u1_struct_0(k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B)),k6_ndiff_5(A,B,C,k4_vfunct_1(u1_struct_0(k14_prvect_2(A)),B,D,E),F),k4_vfunct_1(u1_struct_0(k14_prvect_2(A)),k16_lopban_1(k11_prvect_2(A,k10_subset_1(C,k4_finseq_1(A))),B),k6_ndiff_5(A,B,C,D,F),E)) ) ) ) ) ) ) ) )).
fof(t25_neckla_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_necklace(A) & l1_orders_2(A) ) => ( v1_neckla_2(A) <=> v1_neckla_2(k3_necklace(A)) ) ) )).
fof(t25_necklace,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r2_tarski(B,u1_struct_0(k4_necklace(A))) & r2_tarski(C,u1_struct_0(k4_necklace(A))) ) => ( ( B != k1_nat_1(C,1) & C != k1_nat_1(B,1) ) | r2_hidden(k4_tarski(B,C),u1_orders_2(k4_necklace(A))) ) ) ) ) ) )).
fof(t25_net_1,axiom,( ! [A] : ( ( v1_net_1(A) & l1_petri(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_net_1(A))) => ! [C] : ( m1_subset_1(C,k2_net_1(A)) => ( k2_net_1(A) != k1_xboole_0 => ( r2_tarski(C,k12_net_1(A,B)) <=> ~ ( ~ ( r2_tarski(C,B) & r2_tarski(C,u1_struct_0(A)) ) & ! [D] : ( m1_subset_1(D,k2_net_1(A)) => ~ ( r2_tarski(D,B) & r2_tarski(D,u4_struct_0(A)) & r1_net_1(A,D,C) ) ) ) ) ) ) ) ) )).
fof(t25_newton,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => m1_subset_1(k3_newton(A,B),k4_ordinal1) ) ) )).
fof(t25_newton01,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ( k6_xcmplx_0(k1_newton(C,B),k1_newton(D,B)) = k3_xcmplx_0(k6_xcmplx_0(C,D),A) => k6_xcmplx_0(k1_newton(C,k2_xcmplx_0(B,2)),k1_newton(D,k2_xcmplx_0(B,2))) = k3_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(C,k2_xcmplx_0(B,1)),k1_newton(D,k2_xcmplx_0(B,1))),k3_xcmplx_0(k3_xcmplx_0(C,D),A)),k6_xcmplx_0(C,D)) ) ) ) ) ) )).
fof(t25_nfcont_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ( r3_nfcont_1(A,B,D,C) & r3_nfcont_1(A,B,E,C) ) => ( r3_nfcont_1(A,B,k6_vfunct_1(u1_struct_0(A),B,D,E),C) & r3_nfcont_1(A,B,k2_vfunct_1(u1_struct_0(A),B,D,E),C) ) ) ) ) ) ) )).
fof(t25_nfcont_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,B)) & v1_rcomp_1(C) & v1_nfcont_3(k2_partfun1(k1_numbers,u1_struct_0(A),B,C),A) ) => v1_nfcont_1(k7_relset_1(k1_numbers,u1_struct_0(A),B,C),A) ) ) ) ) )).
fof(t25_nfcont_4,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_euclid(A)))) ) => ( ( v1_nfcont_4(k2_partfun1(k1_numbers,k1_euclid(A),D,B),A) & r1_tarski(C,B) ) => v1_nfcont_4(k2_partfun1(k1_numbers,k1_euclid(A),D,C),A) ) ) ) )).
fof(t25_normform,axiom,( ! [A] : ! [B] : ( m2_subset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k7_normform(A)) => r1_xboole_0(k2_domain_1(k5_finsub_1(A),k5_finsub_1(A),B),k3_domain_1(k5_finsub_1(A),k5_finsub_1(A),B)) ) )).
fof(t25_normsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ( ( v3_normsp_1(B,A) & v3_normsp_1(C,A) ) => k5_normsp_1(A,k1_normsp_1(A,B,C)) = k3_rlvect_1(A,k5_normsp_1(A,B),k5_normsp_1(A,C)) ) ) ) ) )).
fof(t25_normsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_normsp_2(A))))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_normsp_2(A))))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k3_normsp_2(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k4_normsp_2(A))) => ( ( B = C & D = E ) => ( ( v1_yellow_8(C,k4_normsp_2(A),E) & v1_tops_2(C,k4_normsp_2(A)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_normsp_2(A))))) ) <=> ( v1_yellow_8(B,k3_normsp_2(A),D) & v1_tops_2(B,k3_normsp_2(A)) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_normsp_2(A))))) ) ) ) ) ) ) ) ) )).
fof(t25_normsp_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & l1_normsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v2_nfcont_1(B,A) & ! [D] : ( v1_xreal_0(D) => ~ ( ~ r1_xxreal_0(D,k5_numbers) & ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_tarski(E,B) & r1_xxreal_0(k2_normsp_0(A,k5_algstr_0(A,C,E)),D) ) ) ) ) ) => r2_tarski(C,B) ) ) ) ) )).
fof(t25_numbers,axiom,( k4_numbers != k1_numbers )).
fof(t25_numeral2,axiom,( v1_int_2(41) )).
fof(t25_numpoly1,axiom,( ! [A] : ( v1_numpoly1(A) => ~ r2_int_1(A,4,10) ) )).
fof(t25_o_ring_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v7_o_ring_1(B,A) & v3_o_ring_1(C,A) ) => v13_o_ring_1(k1_algstr_0(A,B,C),A) ) ) ) ) )).
fof(t25_openlatt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_openlatt(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_openlatt(A))) => ( k3_lattices(k15_openlatt(A),B,C) = k2_xboole_0(B,C) & k4_lattices(k15_openlatt(A),B,C) = k3_xboole_0(B,C) ) ) ) ) )).
fof(t25_oppcat_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_cat_1(A) & v3_cat_1(A) & v4_cat_1(A) & v5_cat_1(A) & v6_cat_1(A) & l1_cat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v11_cat_1(B,A) <=> v10_cat_1(k3_oppcat_1(A,B),k2_oppcat_1(A)) ) ) ) )).
fof(t25_ordeq_01,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_measure5(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_ordeq_01(A,B))) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(B)))) ) => ( ( E = D & ! [F] : ( v1_xreal_0(F) => ( r2_hidden(F,A) => r1_xxreal_0(k2_normsp_0(B,k7_partfun1(u1_struct_0(B),E,F)),C) ) ) ) => r1_xxreal_0(k2_normsp_0(k5_ordeq_01(A,B),D),C) ) ) ) ) ) ) )).
fof(t25_ordeq_02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v3_normsp_0(A) & v4_normsp_0(A) & v2_normsp_1(A) & v3_lopban_1(A) & l1_normsp_1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ~ ( ~ r1_xxreal_0(C,B) & r5_nfcont_1(A,A,u1_struct_0(A),E) & ! [F] : ( v7_ordinal1(F) => ~ v1_nfcont_2(k1_abian(u1_struct_0(k5_ordeq_01(k3_integra5(B,C),A)),k1_ordeq_02(A,D,E,B,C),k1_nat_1(F,1)),k5_ordeq_01(k3_integra5(B,C),A)) ) ) ) ) ) ) ) )).
fof(t25_orders_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_orders_1(A) => v1_orders_1(k2_wellord1(A,B)) ) ) )).
fof(t25_orders_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k3_orders_2(A,k1_struct_0(A),B) = k1_xboole_0 ) ) )).
fof(t25_ordinal1,axiom,( ! [A] : ~ ! [B] : ( r2_tarski(B,A) <=> v3_ordinal1(B) ) )).
fof(t25_ordinal2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_ordinal2(B) ) => ( r2_tarski(A,k9_xtuple_0(B)) => v3_ordinal1(k1_funct_1(B,A)) ) ) ) )).
fof(t25_ordinal3,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ! [C] : ( v3_ordinal1(C) => ( r2_tarski(A,B) => ( r2_tarski(A,k10_ordinal2(B,C)) & r2_tarski(A,k10_ordinal2(C,B)) ) ) ) ) ) )).
fof(t25_ordinal4,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_ordinal2(A) ) => ! [B] : ( v3_ordinal1(B) => ( ( r2_tarski(1,B) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(A)) => k1_funct_1(A,C) = k12_ordinal2(B,C) ) ) ) => v2_ordinal2(A) ) ) ) )).
fof(t25_ordinal5,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) ) => ( ( r2_tarski(1,A) & r1_ordinal1(k9_xtuple_0(B),k4_ordinal1) & ! [C] : ( v3_ordinal1(C) => ( r2_tarski(C,k9_xtuple_0(B)) => k1_funct_1(B,C) = k1_ordinal5(A,C) ) ) ) => v2_ordinal2(B) ) ) ) )).
fof(t25_ordinal6,axiom,( ! [A] : ( v1_ordinal6(A) => ! [B] : ( v1_ordinal6(B) => ( ! [C] : ! [D] : ( ( r2_tarski(C,A) & r2_tarski(D,B) ) => r2_tarski(C,D) ) => k2_ordinal6(k2_xboole_0(A,B)) = k1_ordinal4(k2_ordinal6(A),k2_ordinal6(B)) ) ) ) )).
fof(t25_ortsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v1_ortsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,D,C) & ~ r1_orders_2(B,D,F) & ~ r1_orders_2(B,E,C) & ~ r1_orders_2(B,E,F) & k8_group_1(A,k1_ortsp_1(A,B,C,E,D),k1_ortsp_1(A,B,D,C,F)) != k8_group_1(A,k1_ortsp_1(A,B,E,C,F),k1_ortsp_1(A,B,F,E,D)) ) ) ) ) ) ) ) )).
fof(t25_osafree,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v2_relat_1(B) & v4_relat_1(B,u1_struct_0(A)) & v1_funct_1(B) & v1_partfun1(B,u1_struct_0(A)) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,k1_funct_1(u3_msualg_1(A,k8_osafree(A,B)),C)) => k8_osalg_4(A,k8_osafree(A,B),k20_osafree(A,B),C,D) = k9_xtuple_0(k1_funct_1(k19_osafree(A,B),D)) ) ) ) ) )).
fof(t25_osalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => ! [C] : ( m1_subset_1(C,u4_struct_0(A)) => ! [D] : ( ( v12_osalg_1(D,A) & l3_msualg_1(D,A) ) => ( r2_osalg_1(A,k1_msualg_1(A,B),k1_msualg_1(A,C)) => r1_tarski(k3_msualg_1(A,B,D),k3_msualg_1(A,C,D)) ) ) ) ) ) )).
fof(t25_osalg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & l3_osalg_1(A) ) => ! [B] : ( ( v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( m2_osalg_2(C,A,B) => ( v2_relat_1(k2_pboole(u1_struct_0(A),k3_osalg_2(A,B),C)) => v2_relat_1(k9_osalg_2(A,B,C)) ) ) ) ) )).
fof(t25_osalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v4_osalg_1(A) & v5_osalg_1(A) & v2_osalg_4(A) & l3_osalg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & v12_osalg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & v12_osalg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m2_pboole(D,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [E] : ( ( v2_msualg_4(E,A,B) & v3_msualg_4(E,A,B) & m1_osalg_4(E,A,B) ) => ( ( r1_msualg_3(A,B,C,D) & v1_osalg_3(D,A) & r2_pboole(u1_struct_0(A),E,k19_osalg_4(A,B,C,D)) ) => ( r1_msualg_3(A,k16_osalg_4(A,B,E),C,k23_osalg_4(A,B,C,D,E)) & v1_osalg_3(k23_osalg_4(A,B,C,D,E),A) ) ) ) ) ) ) ) )).
fof(t25_parsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ~ ( B != C & D != E & ~ ( B = D & C = E ) & ~ ( B = E & C = D ) ) => r1_parsp_1(A,B,C,D,E) ) ) ) ) ) ) )).
fof(t25_parsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_parsp_1(A) & v1_parsp_2(A) & l1_parsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( ( r1_parsp_2(A,B,C,D) & r1_parsp_2(A,B,D,E) ) => ( B = D | r1_parsp_2(A,C,D,E) ) ) ) ) ) ) ) )).
fof(t25_partfun1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_relat_1(D) & v1_funct_1(D) ) => ( ( r2_hidden(A,k9_xtuple_0(D)) & r2_hidden(A,B) & r2_tarski(k1_funct_1(D,A),C) ) => k1_funct_1(k3_partfun1(D,B,C),A) = k1_funct_1(D,A) ) ) )).
fof(t25_partfun2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( r2_tarski(C,k1_relset_1(A,E)) & r2_tarski(D,k1_relset_1(A,E)) ) => k7_relset_1(A,B,E,k2_tarski(C,D)) = k2_tarski(k7_partfun1(B,E,C),k7_partfun1(B,E,D)) ) ) ) ) ) ) )).
fof(t25_partit1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => ( k4_partit1(A,B) = k4_partit1(A,C) => B = C ) ) ) ) )).
fof(t25_partit_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) => ( r4_relat_2(B,A) => v4_relat_2(B) ) ) ) )).
fof(t25_pasch,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v2_analoaf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ~ ( r2_diraf(A,B,C,D,E) & r2_diraf(A,B,D,C,E) & ~ r3_diraf(A,B,C,D) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r3_diraf(A,F,B,E) & r3_diraf(A,F,C,D) ) ) ) ) ) ) ) ) )).
fof(t25_pboole,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,A) & v1_funct_1(D) & v1_partfun1(D,A) ) => ( r2_pboole(A,B,D) => r6_pboole(A,k2_pboole(A,B,k3_pboole(A,C,D)),k3_pboole(A,k2_pboole(A,B,C),D)) ) ) ) ) )).
fof(t25_pcomps_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ( ( v8_pre_topc(A) & v2_pcomps_1(A) ) => v10_pre_topc(A) ) ) )).
fof(t25_pcs_0,axiom,( ! [A] : ( l2_pcs_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,u1_struct_0(k20_pcs_0(A,B))) => ( C != B => r2_tarski(C,u1_struct_0(A)) ) ) ) )).
fof(t25_pdiff_1,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ! [E] : ( ( v1_funct_1(E) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ( r7_pdiff_1(A,B,C,E,D) => m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) ) ) ) ) ) )).
fof(t25_pdiff_3,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(2)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(2),k1_numbers))) ) => ( ( r1_pdiff_3(B,A) & r1_pdiff_3(C,A) ) => ( r3_pdiff_1(2,1,k47_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(1,2,B),k1_pdiff_3(1,2,C)),A) & k10_pdiff_1(2,1,k47_valued_1(k1_euclid(2),k1_numbers,k1_numbers,k1_pdiff_3(1,2,B),k1_pdiff_3(1,2,C)),A) = k6_xcmplx_0(k2_pdiff_3(B,A),k2_pdiff_3(C,A)) ) ) ) ) ) )).
fof(t25_pdiff_4,axiom,( ! [A] : ( ( v1_funct_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ! [B] : ( m2_finseq_2(B,k1_numbers,k1_euclid(3)) => ! [C] : ( m1_rcomp_1(C,k3_funct_2(k1_euclid(3),k1_numbers,k1_pdiff_1(1,3),B)) => ( ( r3_pdiff_1(3,1,A,B) & r1_tarski(C,k1_relset_1(k1_numbers,k1_pdiff_2(3,1,A,B))) ) => ! [D] : ( ( v9_ordinal1(D) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k1_numbers) & v1_fdiff_1(D,k5_numbers) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [E] : ( ( v1_funct_1(E) & v3_funct_1(E) & v1_funct_2(E,k4_ordinal1,k1_numbers) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( k1_rvsum_1(E) = k1_tarski(k3_funct_2(k1_euclid(3),k1_numbers,k1_pdiff_1(1,3),B)) & r1_tarski(k1_rvsum_1(k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E)),C) ) => ( v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(3,1,A,B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(3,1,A,B))))) & k10_pdiff_1(3,1,A,B) = k1_seq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k37_valued_1(k4_ordinal1,k1_numbers,D),k47_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,k3_valued_1(k4_ordinal1,k1_numbers,k1_numbers,D,E),k1_pdiff_2(3,1,A,B)),k8_funct_2(k4_ordinal1,k1_numbers,k1_numbers,E,k1_pdiff_2(3,1,A,B))))) ) ) ) ) ) ) ) ) )).
fof(t25_pdiff_5,axiom,( ! [A] : ( m2_finseq_2(A,k1_numbers,k1_euclid(3)) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(3),k1_numbers))) ) => ( r7_pdiff_5(B,A) <=> r3_pdiff_1(3,1,k1_pdiff_3(3,3,B),A) ) ) ) )).
fof(t25_pdiff_6,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( ( v7_ordinal1(B) & ~ v8_ordinal1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( m2_finseq_2(D,k1_numbers,k1_euclid(A)) => ( r1_pdiff_1(A,B,C,D) <=> ? [E] : ( v1_xreal_0(E) & ~ r1_xxreal_0(E,k5_numbers) & r1_tarski(a_3_2_pdiff_6(A,D,E),k1_relset_1(k1_euclid(A),C)) & ? [F] : ( v1_funct_1(F) & v1_funct_2(F,k1_euclid(A),k1_euclid(B)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & ? [G] : ( v1_funct_1(G) & v1_funct_2(G,k1_euclid(A),k1_euclid(B)) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & v1_funct_1(F) & v1_funct_2(F,k1_euclid(A),k1_euclid(B)) & v1_pdiff_6(F,B,A) & v2_pdiff_6(F,B,A) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) & ! [H] : ( v1_xreal_0(H) => ~ ( ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v1_xreal_0(I) => ~ ( ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( m2_finseq_2(J,k1_numbers,k1_euclid(A)) => ! [K] : ( m2_finseq_2(K,k1_numbers,k1_euclid(B)) => ~ ( J != k5_euclid(A) & ~ r1_xxreal_0(I,k12_euclid(J)) & K = k3_funct_2(k1_euclid(A),k1_euclid(B),G,J) & r1_xxreal_0(H,k3_xcmplx_0(k5_xcmplx_0(k12_euclid(J)),k12_euclid(K))) ) ) ) ) ) ) ) & ! [H] : ( m2_finseq_2(H,k1_numbers,k1_euclid(A)) => ( ~ r1_xxreal_0(E,k12_euclid(k8_euclid(A,H,D))) => k8_euclid(B,k7_partfun1(k1_euclid(B),C,H),k7_partfun1(k1_euclid(B),C,D)) = k7_euclid(B,k3_funct_2(k1_euclid(A),k1_euclid(B),F,k8_euclid(A,H,D)),k3_funct_2(k1_euclid(A),k1_euclid(B),G,k8_euclid(A,H,D))) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_pdiff_7,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v8_ordinal1(A) ) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( m2_finseq_1(C,k1_euclid(A)) => ! [D] : ( m2_finseq_1(D,k1_euclid(A)) => ( r2_relset_1(k4_ordinal1,k1_euclid(A),D,k9_integr15(A,B,k4_ordinal1,C)) => k5_euclid_7(A,D) = k9_euclid(A,k5_euclid_7(A,C),B) ) ) ) ) ) )).
fof(t25_pdiff_9,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( ( ~ v8_ordinal1(B) & m1_subset_1(B,k4_ordinal1) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k1_euclid(A),k1_euclid(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_real_ns1(A)),u1_struct_0(k4_real_ns1(B))))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k1_euclid(A))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_real_ns1(A)))) => ( ( v1_pdiff_7(E,A) & r1_tarski(E,k1_relset_1(k1_euclid(A),C)) & D = C & E = F ) => ( ( ( r2_ndiff_1(F,k4_real_ns1(A),k4_real_ns1(B),D) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),D,F),F) ) => ( r1_pdiff_6(E,B,A,C) & ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) => ! [H] : ( v1_xreal_0(H) => ~ ( r2_tarski(G,E) & ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v1_xreal_0(I) => ~ ( ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( m2_finseq_2(J,k1_numbers,k1_euclid(A)) => ( r2_tarski(J,E) => ( r1_xxreal_0(I,k12_euclid(k8_euclid(A,J,G))) | ! [K] : ( m2_finseq_2(K,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(B,k3_funct_2(k1_euclid(A),k1_euclid(B),k8_pdiff_1(A,B,C,J),K),k3_funct_2(k1_euclid(A),k1_euclid(B),k8_pdiff_1(A,B,C,G),K))),k3_xcmplx_0(H,k12_euclid(K))) ) ) ) ) ) ) ) ) ) ) ) & ( ( r1_pdiff_6(E,B,A,C) & ! [G] : ( m2_finseq_2(G,k1_numbers,k1_euclid(A)) => ! [H] : ( v1_xreal_0(H) => ~ ( r2_tarski(G,E) & ~ r1_xxreal_0(H,k5_numbers) & ! [I] : ( v1_xreal_0(I) => ~ ( ~ r1_xxreal_0(I,k5_numbers) & ! [J] : ( m2_finseq_2(J,k1_numbers,k1_euclid(A)) => ( r2_tarski(J,E) => ( r1_xxreal_0(I,k12_euclid(k8_euclid(A,J,G))) | ! [K] : ( m2_finseq_2(K,k1_numbers,k1_euclid(A)) => r1_xxreal_0(k12_euclid(k8_euclid(B,k3_funct_2(k1_euclid(A),k1_euclid(B),k8_pdiff_1(A,B,C,J),K),k3_funct_2(k1_euclid(A),k1_euclid(B),k8_pdiff_1(A,B,C,G),K))),k3_xcmplx_0(H,k12_euclid(K))) ) ) ) ) ) ) ) ) ) ) => ( r2_ndiff_1(F,k4_real_ns1(A),k4_real_ns1(B),D) & r3_nfcont_1(k4_real_ns1(A),k16_lopban_1(k4_real_ns1(A),k4_real_ns1(B)),k4_ndiff_1(k4_real_ns1(A),k4_real_ns1(B),D,F),F) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_pencil_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( m1_subset_1(C,u1_struct_0(k5_pencil_1(A,B))) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_pencil_1(A,B,D))) => m1_subset_1(k1_funct_7(C,D,E),u1_struct_0(k5_pencil_1(A,B))) ) ) ) ) ) ) )).
fof(t25_pencil_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( m1_pencil_2(C,A,B) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(D,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => m1_pencil_2(k8_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),D,C),A,B) ) ) ) ) ) )).
fof(t25_pencil_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v15_pencil_1(B) ) => ( ! [C] : ( m1_subset_1(C,A) => v10_pencil_1(k2_pencil_1(A,B,C)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))) & v1_pencil_2(C,k5_pencil_1(A,B),k5_pencil_1(A,B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B))))) ) => ? [D] : ( v1_funct_1(D) & v1_funct_2(D,A,A) & v3_funct_2(D,A,A) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,A))) & ! [E] : ( m1_subset_1(E,A) => ! [F] : ( m1_subset_1(F,A) => ( k3_funct_2(A,A,D,E) = F <=> ! [G] : ( m1_pencil_2(G,A,B) => ! [H] : ( ( ~ v13_pencil_1(H) & v16_pencil_1(H,A) & m3_pboole(H,A,k12_pralg_1(A,B)) ) => ! [I] : ( ( ~ v13_pencil_1(I) & v16_pencil_1(I,A) & m3_pboole(I,A,k12_pralg_1(A,B)) ) => ( ( G = k4_card_3(H) & k7_relset_1(u1_struct_0(k5_pencil_1(A,B)),u1_struct_0(k5_pencil_1(A,B)),C,G) = k4_card_3(I) & k3_pencil_1(A,H) = E ) => k3_pencil_1(A,I) = F ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_pencil_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( v7_ordinal1(C) => ! [D] : ( v7_ordinal1(D) => ~ ( r1_xxreal_0(D,k1_vectsp_9(A,B)) & v3_pencil_1(k7_pencil_4(A,B,C,D)) ) ) ) ) ) )).
fof(t25_pepin,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ~ r1_xxreal_0(A,1) & ~ r1_xxreal_0(B,k5_numbers) & r1_xxreal_0(k1_newton(A,B),1) ) ) ) )).
fof(t25_pnproc_1,axiom,( ! [A] : ! [B] : ( m2_pnproc_1(B,A) => ! [C] : ( m3_pnproc_1(C,A,B) => ! [D] : ( m3_pnproc_1(D,A,B) => k8_pnproc_1(A,B,k4_pre_poly(B,C,D)) = k3_relat_1(k7_pnproc_1(A,C),k7_pnproc_1(A,D)) ) ) ) )).
fof(t25_polyeq_3,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ( k2_polyeq_1(B,k5_numbers,C,A) = k5_numbers => ( B = k5_numbers | ! [D] : ( v1_xcmplx_0(D) => ~ ( D = k4_xcmplx_0(k7_xcmplx_0(C,B)) & A != k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2)),k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2)),k7_complex1)) & A != k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2))),k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2))),k7_complex1)) & A != k2_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2)),k3_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2))),k7_complex1)) & A != k2_xcmplx_0(k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k3_complex1(D),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2))),k3_xcmplx_0(k3_square_1(k7_xcmplx_0(k2_xcmplx_0(k1_real_1(k3_complex1(D)),k3_square_1(k2_xcmplx_0(k1_square_1(k3_complex1(D)),k1_square_1(k4_complex1(D))))),2)),k7_complex1)) ) ) ) ) ) ) ) )).
fof(t25_polyeq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( k3_power(A,C) = 1 => ( r1_xxreal_0(A,k5_numbers) | A = 1 | r1_xxreal_0(C,k5_numbers) | C = A ) ) ) ) ) )).
fof(t25_polyeq_5,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => ! [C] : ( v1_xcmplx_0(C) => ! [D] : ( v1_xcmplx_0(D) => ! [E] : ( v1_xcmplx_0(E) => ! [F] : ( v1_xcmplx_0(F) => ! [G] : ( v1_xcmplx_0(G) => ! [H] : ( v1_xcmplx_0(H) => ! [I] : ( v1_xcmplx_0(I) => ( ( I = k7_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,D),k3_xcmplx_0(3,k1_newton(F,2))),32) & G = k7_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(8,C),k3_xcmplx_0(k3_xcmplx_0(4,D),F)),k1_newton(F,3)),64) & G = k5_numbers & H = k7_xcmplx_0(k6_xcmplx_0(k2_xcmplx_0(k6_xcmplx_0(k3_xcmplx_0(256,B),k3_xcmplx_0(k3_xcmplx_0(64,F),C)),k3_xcmplx_0(k3_xcmplx_0(16,k1_newton(F,2)),D)),k3_xcmplx_0(3,k1_newton(F,4))),1024) & E = k1_polyeq_5(2,k6_xcmplx_0(k1_newton(I,2),H)) ) => ( k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(k1_newton(A,4),k3_xcmplx_0(F,k1_newton(A,3))),k3_xcmplx_0(D,k1_newton(A,2))),k3_xcmplx_0(C,A)),B) = k5_numbers <=> ~ ( A != k6_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k6_xcmplx_0(I,E)))),k7_xcmplx_0(F,4)) & A != k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k6_xcmplx_0(I,E))))),k7_xcmplx_0(F,4)) & A != k6_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k2_xcmplx_0(I,E)))),k7_xcmplx_0(F,4)) & A != k6_xcmplx_0(k4_xcmplx_0(k1_polyeq_5(2,k4_xcmplx_0(k3_xcmplx_0(2,k2_xcmplx_0(I,E))))),k7_xcmplx_0(F,4)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_polyform,axiom,( ! [A] : ( ( v2_polyform(A) & v3_polyform(A) & v4_polyform(A) & l1_polyform(A) ) => ! [B] : ( v1_int_1(B) => ( ~ v1_xboole_0(k5_polyform(A,B)) <=> ( r1_xxreal_0(k4_xcmplx_0(1),B) & r1_xxreal_0(B,k4_polyform(A)) ) ) ) ) )).
fof(t25_polynom1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & v3_vectsp_1(B) & l5_algstr_0(B) ) => ( k4_polynom1(A,B,k9_polynom1(A,B),k16_pre_poly(A)) = k5_struct_0(B) & ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) & v4_valued_0(C) & v2_pre_poly(C) ) => ( C != k16_pre_poly(A) => k4_polynom1(A,B,k9_polynom1(A,B),C) = k4_struct_0(B) ) ) ) ) )).
fof(t25_polynom2,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(C,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(B)) & v1_polynom1(D,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k11_polynom1(A,B,C,D),E) = k8_group_1(B,k2_polynom2(A,B,C,E),k2_polynom2(A,B,D,E)) ) ) ) ) ) )).
fof(t25_polynom5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( C != k4_struct_0(A) => k1_algseq_1(A,k4_polynom5(A,B,C)) = k1_algseq_1(A,B) ) ) ) ) )).
fof(t25_polynom7,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( ~ v7_struct_0(B) & v13_algstr_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & l6_algstr_0(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => k2_polynom2(A,B,k4_polynom7(A,B,C),D) = C ) ) ) ) )).
fof(t25_polynom8,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ! [C] : ( v1_int_1(C) => k2_polynom8(A,k9_algstr_0(A,B),C) = k9_algstr_0(A,k2_polynom8(A,B,C)) ) ) ) ) )).
fof(t25_polyred,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_algstr_0(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,k15_pre_poly(A),u1_struct_0(C)) & v1_polynom1(D,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),u1_struct_0(C)))) ) => r1_polyred(A,B,C,D,D) ) ) ) ) )).
fof(t25_poset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(A,B,B),B) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,k3_zfmisc_1(A,B,B),B) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k3_zfmisc_1(A,B,B),B))) ) => ! [H] : ( ( v1_funct_1(H) & v1_funct_2(H,A,A) & m1_subset_1(H,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,A,A) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ~ ( r2_poset_2(A,C,H,I) & ! [J] : ( ( v1_funct_1(J) & v1_funct_2(J,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(J,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(J,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ! [K] : ( ( v1_funct_1(K) & v1_funct_2(K,u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))) & v2_poset_1(K,k4_poset_2(A),k4_poset_2(B)) & m1_subset_1(K,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_poset_2(A)),u1_struct_0(k4_poset_2(B))))) ) => ~ ! [L] : ( m1_subset_1(L,A) => ( r2_tarski(k1_funct_1(J,L),B) & k1_funct_1(J,L) = k10_poset_2(A,B,C,D,F,L,k1_funct_1(J,k3_funct_2(A,A,H,L)),k1_funct_1(K,k3_funct_2(A,A,I,L))) & r2_tarski(k1_funct_1(K,L),B) & k1_funct_1(K,L) = k10_poset_2(A,B,C,E,G,L,k1_funct_1(J,k3_funct_2(A,A,H,L)),k1_funct_1(K,k3_funct_2(A,A,I,L))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_power,axiom,( ! [A] : ( v1_xreal_0(A) => k2_power(A,1) = A ) )).
fof(t25_pralg_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v11_struct_0(B) & l1_msualg_1(B) ) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_pralg_2(D,A,B) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( ( v4_msualg_1(F,B) & l3_msualg_1(F,B) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,A) & v1_funct_1(G) & v1_partfun1(G,A) & v1_funcop_1(G) ) => ( ! [H] : ( m1_subset_1(H,A) => ? [I] : ( m2_pboole(I,u1_struct_0(B),u3_msualg_1(B,F),u3_msualg_1(B,k5_pralg_2(A,B,D,H))) & I = k1_funct_1(G,H) & r1_msualg_3(B,F,k5_pralg_2(A,B,D,H),I) ) ) => ( r2_tarski(G,k1_funct_2(A,k1_funct_2(u1_struct_0(B),a_3_2_pralg_3(A,B,G)))) & k1_funct_1(k1_funct_1(k9_funct_6(G),E),C) = k1_funct_1(k1_funct_1(G,C),E) ) ) ) ) ) ) ) ) ) )).
fof(t25_pre_circ,axiom,( ! [A] : ( v1_finset_1(A) => ~ ( k4_card_1(A) = 1 & ! [B] : ( m1_subset_1(B,A) => A != k1_tarski(B) ) ) ) )).
fof(t25_pre_poly,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => k1_card_3(k7_finseq_1(A,B)) = k7_finseq_1(k1_card_3(A),k1_card_3(B)) ) ) )).
fof(t25_pre_topc,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(t25_prefer_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_partfun1(B,A) & v1_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => v1_relat_2(k2_eqrel_1(A,B,k3_relset_1(A,A,B))) ) ) )).
fof(t25_prelamb,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_prelamb(A) & l2_prelamb(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => r3_prelamb(A,k2_prelamb(A,B,C),k2_prelamb(A,B,k1_prelamb(A,k2_prelamb(A,B,C),B))) ) ) ) )).
fof(t25_prepower,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v7_ordinal1(C) => ( ( r1_xxreal_0(k5_numbers,A) & r1_xxreal_0(1,C) & r1_xxreal_0(1,B) ) => k2_prepower(C,k2_prepower(B,A)) = k2_prepower(k3_xcmplx_0(C,B),A) ) ) ) ) )).
fof(t25_prob_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,A) & v4_prob_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ( ( v5_relat_1(B,C) & v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) <=> ! [D] : ( v7_ordinal1(D) => m1_prob_1(k8_nat_1(k9_setfam_1(A),B,D),A,C) ) ) ) ) )).
fof(t25_prob_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_prob_1(C,A,B) => ! [D] : ( m1_prob_1(D,A,B) => ! [E] : ( m2_prob_1(E,A,B) => ( r1_prob_2(A,B,E,C,D) => r1_prob_2(A,B,E,C,k7_prob_1(A,B,k4_prob_1(A,B),D)) ) ) ) ) ) ) )).
fof(t25_prob_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ! [C] : ( ( ~ v1_xboole_0(C) & v1_prob_1(C,B) & v4_prob_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) ) => ! [D] : ( ( v5_relat_1(D,C) & v1_funct_1(D) & v1_funct_2(D,k4_ordinal1,k9_setfam_1(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(B)))) ) => ! [E] : ( r2_hidden(E,k1_prob_2(B,C,k1_prob_3(B,D),A)) <=> ! [F] : ( v7_ordinal1(F) => ( r1_xxreal_0(F,A) => r2_hidden(E,k1_prob_2(B,C,D,F)) ) ) ) ) ) ) )).
fof(t25_prob_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m2_prob_1(C,A,B) => ! [D] : ! [E] : ( ( r2_tarski(D,B) & r2_tarski(E,B) ) => ! [F] : ( m1_prob_4(F,A,B,C) => ! [G] : ( m1_prob_4(G,A,B,C) => ( k2_xboole_0(D,F) = k2_xboole_0(E,G) => k1_funct_1(C,D) = k1_funct_1(C,E) ) ) ) ) ) ) ) )).
fof(t25_procal_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m2_subset_1(C,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [D] : ( m2_subset_1(D,k9_qc_lang1(A),k3_cqc_lang(A)) => r2_hidden(k8_cqc_lang(A,k9_cqc_lang(A,k9_cqc_lang(A,B,C),D),k9_cqc_lang(A,B,k9_cqc_lang(A,C,D))),k4_cqc_the1(A)) ) ) ) ) )).
fof(t25_projpl_1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u2_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ( r1_incsp_1(A,B,D) => ( D = E | r1_incsp_1(A,C,D) | B = k2_projpl_1(A,D,E) | ( r1_incsp_1(A,k2_projpl_1(A,k1_projpl_1(A,C,B),E),E) & ~ r1_incsp_1(A,k2_projpl_1(A,k1_projpl_1(A,C,B),E),D) ) ) ) ) ) ) ) ) )).
fof(t25_projred1,axiom,( ! [A] : ( ( v6_incsp_1(A) & v1_incproj(A) & v2_incproj(A) & v3_incproj(A) & v4_incproj(A) & v5_incproj(A) & v9_incproj(A) & l1_incsp_1(A) ) => ! [B] : ( m1_subset_1(B,u1_incsp_1(A)) => ! [C] : ( m1_subset_1(C,u1_incsp_1(A)) => ! [D] : ( m1_subset_1(D,u1_incsp_1(A)) => ! [E] : ( m1_subset_1(E,u2_incsp_1(A)) => ! [F] : ( m1_subset_1(F,u2_incsp_1(A)) => ! [G] : ( m1_subset_1(G,u2_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,C,E) & ~ r1_incsp_1(A,C,F) & ~ r1_incsp_1(A,D,F) & ~ r1_incsp_1(A,D,G) & r1_incsp_1(A,B,E) & r1_incsp_1(A,B,F) & r1_incsp_1(A,B,G) & E != G & ! [H] : ( m1_subset_1(H,u1_incsp_1(A)) => ~ ( ~ r1_incsp_1(A,H,E) & ~ r1_incsp_1(A,H,G) & k3_relat_1(k1_projred1(A,E,F,C),k1_projred1(A,F,G,D)) = k1_projred1(A,E,G,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_pscomp_1,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => k17_euclid(k10_pscomp_1(A)) = k17_euclid(k11_pscomp_1(A)) ) )).
fof(t25_pua2mss1,axiom,( ! [A] : ( ( v2_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => m3_pua2mss1(k8_eqrel_1(u1_struct_0(A),k9_pua2mss1(A)),A) ) )).
fof(t25_pzfmisc1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,A) & v1_funct_1(C) & v1_partfun1(C,A) ) => ( r2_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)) => r6_pboole(A,k1_pzfmisc1(A,B),k1_pzfmisc1(A,C)) ) ) ) )).
fof(t25_qc_lang1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k1_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k1_qc_lang1(A)) => ( r2_qc_lang1(A,B,C) <=> ~ r1_qc_lang1(A,C,B) ) ) ) ) )).
fof(t25_qc_lang2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_subset_1(D,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [E] : ( m1_subset_1(E,k9_qc_lang1(A)) => ! [F] : ( m1_subset_1(F,k9_qc_lang1(A)) => ! [G] : ( m2_subset_1(G,k2_qc_lang1(A),k3_qc_lang1(A)) => ( k9_qc_lang2(A,B,C,D,E) = k5_qc_lang2(A,G,F) => ( B = G & k7_qc_lang2(A,C,D,E) = F ) ) ) ) ) ) ) ) ) )).
fof(t25_qc_lang3,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_subset_1(C,k9_qc_lang1(A)) => ( ( v6_qc_lang1(B,A) & v6_qc_lang1(C,A) ) <=> v6_qc_lang1(k3_qc_lang2(A,B,C),A) ) ) ) ) )).
fof(t25_qc_lang4,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k9_qc_lang1(A)) => ! [C] : ( m1_trees_1(C,k9_xtuple_0(k2_qc_lang4(A,B))) => ( v4_qc_lang1(k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C),A) => ( r2_tarski(k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers)),k9_xtuple_0(k2_qc_lang4(A,B))) & k1_funct_1(k2_qc_lang4(A,B),k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,k5_numbers))) = k19_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C)) & r2_tarski(k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,1)),k9_xtuple_0(k2_qc_lang4(A,B))) & k1_funct_1(k2_qc_lang4(A,B),k8_finseq_1(k4_ordinal1,C,k12_finseq_1(k4_ordinal1,1))) = k20_qc_lang1(A,k3_trees_2(k9_qc_lang1(A),k2_qc_lang4(A,B),C)) ) ) ) ) ) )).
fof(t25_quantal1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v1_group_1(A) & v3_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) ) => ! [B] : k5_quantal1(A,k16_lattice3(A,B)) = k15_lattice3(A,a_2_0_quantal1(A,B)) ) )).
fof(t25_quatern2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => k26_quaterni(k5_quaterni(A,B,C,D)) = k5_quaterni(A,k4_xcmplx_0(B),k4_xcmplx_0(C),k4_xcmplx_0(D)) ) ) ) ) )).
fof(t25_quatern3,axiom,( ! [A] : ( v1_quaterni(A) => k13_quaterni(k20_quaterni(k7_xcmplx_0(1,k1_square_1(k27_quaterni(A))),k26_quaterni(A))) = k4_xcmplx_0(k3_xcmplx_0(k7_xcmplx_0(1,k1_square_1(k27_quaterni(A))),k13_quaterni(A))) ) )).
fof(t25_quaterni,axiom,( ! [A] : ( v1_quaterni(A) => ! [B] : ( v1_quaterni(B) => ( ( k12_quaterni(A) = k12_quaterni(B) & k13_quaterni(A) = k13_quaterni(B) & k14_quaterni(A) = k14_quaterni(B) & k15_quaterni(A) = k15_quaterni(B) ) => A = B ) ) ) )).
fof(t25_quin_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & ~ r1_xxreal_0(k1_quin_1(A,B,C),k5_numbers) & r1_xxreal_0(k7_xcmplx_0(k2_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A)),k7_xcmplx_0(k6_xcmplx_0(k4_xcmplx_0(B),k3_square_1(k1_quin_1(A,B,C))),k3_xcmplx_0(2,A))) ) ) ) ) )).
fof(t25_quofield,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( m2_subset_1(B,k1_zfmisc_1(k1_quofield(A)),k7_quofield(A)) => ( k4_binop_1(k7_quofield(A),k16_quofield(A),B,k12_quofield(A)) = B & k4_binop_1(k7_quofield(A),k16_quofield(A),k12_quofield(A),B) = B ) ) ) )).
fof(t25_random_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_prob_1(B,A) & v4_prob_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) => ! [C] : ( m1_random_1(C,A,B) => ! [D] : ( v1_xreal_0(D) => ( r1_xxreal_0(k5_numbers,D) => m1_random_1(k2_mesfun6c(D,A,k7_random_1(A,B,C)),A,B) ) ) ) ) ) )).
fof(t25_ranknull,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ( r2_tarski(E,D) => k3_funct_2(u1_struct_0(B),u1_struct_0(A),k6_ranknull(A,B,C,D),E) = k3_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) ) ) ) ) ) ) )).
fof(t25_rat_1,axiom,( ! [A] : ( v1_rat_1(A) => ( k4_xcmplx_0(k2_rat_1(A)) = k1_rat_1(A) <=> A = k4_xcmplx_0(1) ) ) )).
fof(t25_ratfunc1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v1_vectsp_2(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v4_ratfunc1(B,A) & v5_ratfunc1(B,A) & m1_ratfunc1(B,A) ) => k11_ratfunc1(A,B) = k6_ratfunc1(A,B) ) ) )).
fof(t25_rcomp_3,axiom,( ! [A] : ( ( v6_xxreal_2(A) & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) ) => ( ( v3_xxreal_2(A) & r2_hidden(k3_seq_4(A),A) ) => ( v4_xxreal_2(A) | A = k2_limfunc1(k3_seq_4(A)) ) ) ) )).
fof(t25_real_3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ? [C] : ( v7_ordinal1(C) & k8_nat_1(k4_ordinal1,k2_real_3(B,A),C) = k5_numbers & k8_nat_1(k4_ordinal1,k1_real_3(B,A),C) = k5_numbers ) ) ) )).
fof(t25_real_lat,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k6_real_lat(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k6_real_lat(A))) => ( k1_binop_1(k4_real_lat(A),k1_binop_1(k5_real_lat(A),B,C),C) = C & k1_binop_1(k4_real_lat(A),C,k1_binop_1(k5_real_lat(A),B,C)) = C & k1_binop_1(k4_real_lat(A),C,k1_binop_1(k5_real_lat(A),C,B)) = C & k1_binop_1(k4_real_lat(A),k1_binop_1(k5_real_lat(A),C,B),C) = C ) ) ) ) )).
fof(t25_realset2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k3_rlvect_1(A,B,C) = k3_rlvect_1(A,B,D) => C = D ) ) ) ) ) )).
fof(t25_realset3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m2_subset_1(D,u1_struct_0(A),k8_struct_0(A)) => ! [E] : ( m2_subset_1(E,u1_struct_0(A),k8_struct_0(A)) => ( k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),B,D) = k2_binop_1(u1_struct_0(A),k8_struct_0(A),u1_struct_0(A),k2_realset3(A),C,E) <=> k4_binop_1(u1_struct_0(A),k4_realset2(A),B,E) = k4_binop_1(u1_struct_0(A),k4_realset2(A),D,C) ) ) ) ) ) ) )).
fof(t25_rearran1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_finset_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,k1_numbers))) ) => ! [D] : ( ( v1_rearran1(D) & v2_rearran1(D) & v3_rearran1(D,k1_zfmisc_1(A)) & m2_finseq_1(D,k1_zfmisc_1(A)) ) => ( ( v1_partfun1(C,B) & k4_card_1(A) = k4_card_1(B) ) => k20_rfunct_3(A,k4_rearran1(B,A,D,C),A) = k20_rfunct_3(B,C,B) ) ) ) ) ) )).
fof(t25_relat_1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v1_relat_1(B) => r1_tarski(k9_xtuple_0(k3_relat_1(A,B)),k9_xtuple_0(A)) ) ) )).
fof(t25_relset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ! [D] : ( r2_hidden(D,k2_relset_1(B,C)) <=> ? [E] : ( m1_subset_1(E,A) & r2_hidden(k4_tarski(E,D),C) ) ) ) ) ) )).
fof(t25_relset_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ! [C] : ( m1_subset_1(C,k1_zfmisc_1(B)) => ! [D] : ( m1_subset_1(D,A) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A))) => ( r2_tarski(D,k6_relset_2(B,A,C,E)) <=> ! [F] : ( r2_tarski(F,C) => r2_tarski(D,k1_relset_2(B,A,E,F)) ) ) ) ) ) ) )).
fof(t25_revrot_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( m2_finseq_1(C,u1_struct_0(k15_euclid(2))) => ( ( r2_tarski(B,k10_xtuple_0(C)) & r1_xxreal_0(k4_finseq_4(C,B),A) ) => ( r1_xxreal_0(k3_finseq_1(C),A) | k2_topreal1(2,C,A) = k2_topreal1(2,k1_finseq_6(u1_struct_0(k15_euclid(2)),C,B),k1_nat_1(k7_nat_d(A,k4_finseq_4(C,B)),1)) ) ) ) ) ) )).
fof(t25_rewrite1,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r1_rewrite1(A,B,C) => ( r2_rewrite1(A,B,C) & r2_rewrite1(A,C,B) ) ) ) )).
fof(t25_rewrite2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) => ( ( v3_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k8_afinsq_1(A),k8_afinsq_1(A)))) ) => r2_relset_1(k8_afinsq_1(A),k8_afinsq_1(A),k7_rewrite2(A,B),k3_relset_1(k8_afinsq_1(A),k8_afinsq_1(A),k7_rewrite2(A,B))) ) ) )).
fof(t25_rewrite3,axiom,( ! [A] : ! [B] : ! [C] : ( ~ v1_xboole_0(C) => ! [D] : ( m1_subset_1(D,k8_afinsq_1(C)) => ! [E] : ( m1_subset_1(E,k8_afinsq_1(C)) => ! [F] : ( m1_subset_1(F,k8_afinsq_1(C)) => ! [G] : ( m1_subset_1(G,k1_zfmisc_1(k8_afinsq_1(C))) => ! [H] : ( l1_rewrite3(H,G) => ( r2_rewrite3(C,G,H,A,D,B,E) => r2_rewrite3(C,G,H,A,k1_flang_1(C,D,F),B,k1_flang_1(C,E,F)) ) ) ) ) ) ) ) )).
fof(t25_rfinseq,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => k8_relset_1(k4_ordinal1,k1_numbers,k10_rvsum_1(A,k5_numbers),k1_tarski(k5_numbers)) = k4_finseq_1(A) ) )).
fof(t25_rfinseq2,axiom,( ! [A] : ( m2_finseq_1(A,k1_numbers) => ( v7_valued_0(A) => v8_valued_0(k6_rvsum_1(A)) ) ) )).
fof(t25_rfunct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( v1_xcmplx_0(B) => k54_valued_1(k24_valued_1(A,B)) = k24_valued_1(k54_valued_1(A),k9_complex1(B)) ) ) )).
fof(t25_rfunct_2,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( v8_valued_0(k2_partfun1(k1_numbers,k1_numbers,B,A)) <=> ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ( ( r2_hidden(C,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r2_hidden(D,k9_subset_1(k1_numbers,A,k1_relset_1(k1_numbers,B))) & r1_xxreal_0(C,D) ) => r1_xxreal_0(k1_funct_1(B,D),k1_funct_1(B,C)) ) ) ) ) ) )).
fof(t25_rfunct_3,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m2_finseq_1(B,k3_rfunct_3(A,k1_numbers)) => ! [C] : ( m2_finseq_1(C,k3_rfunct_3(A,k1_numbers)) => ( r2_classes1(B,C) => r2_relset_1(A,k1_numbers,k14_rfunct_3(A,B),k14_rfunct_3(A,C)) ) ) ) ) )).
fof(t25_rfunct_4,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( r2_rfunct_3(B,A) => r3_rfunct_4(B,A) ) ) )).
fof(t25_rinfsup1,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v8_valued_0(A) & v2_seq_2(A) ) => k1_seq_2(A) = k2_rinfsup1(A) ) ) )).
fof(t25_rinfsup2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k6_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k6_numbers))) ) => ( v8_valued_0(B) => ( v8_valued_0(k1_valued_0(k6_numbers,B,A)) & k2_rinfsup2(B) = k2_rinfsup2(k1_valued_0(k6_numbers,B,A)) ) ) ) ) )).
fof(t25_ring_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v9_struct_0(B,A) & m1_subset_1(B,u1_struct_0(A)) ) => ( v4_ring_1(k7_ideal_1(A,k6_domain_1(u1_struct_0(A),B)),A) => v5_ring_2(B,A) ) ) ) )).
fof(t25_ringcat1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_classes2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k17_ringcat1(A))) => ! [C] : ( m2_ringcat1(C,k9_ringcat1(A)) => ( B = C => k4_cat_1(k17_ringcat1(A),B) = k13_ringcat1(k9_ringcat1(A),C) ) ) ) ) )).
fof(t25_rlaffin1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) ) => ! [D] : ( m1_rlvect_2(D,C) => r1_rlvect_2(C,k8_rlvect_2(C,A,k2_rlaffin1(C,D,B)),k2_rlaffin1(C,k8_rlvect_2(C,A,D),B)) ) ) ) ) )).
fof(t25_rlaffin2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & v8_rlvect_1(C) & l1_rlvect_1(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ! [E] : ( m1_rlvect_2(E,C) => ! [F] : ( m1_rlvect_2(F,C) => ! [G] : ( v1_xreal_0(G) => ~ ( r1_xxreal_0(k3_funct_2(u1_struct_0(C),k1_numbers,k7_rlvect_2(C,k8_rlvect_2(C,A,E),k8_rlvect_2(C,k6_xcmplx_0(1,A),F)),D),G) & r1_xxreal_0(G,k3_funct_2(u1_struct_0(C),k1_numbers,k7_rlvect_2(C,k8_rlvect_2(C,B,E),k8_rlvect_2(C,k6_xcmplx_0(1,B),F)),D)) & ! [H] : ( v1_xreal_0(H) => ~ ( k3_funct_2(u1_struct_0(C),k1_numbers,k7_rlvect_2(C,k8_rlvect_2(C,H,E),k8_rlvect_2(C,k6_xcmplx_0(1,H),F)),D) = G & ( r1_xxreal_0(A,B) => ( r1_xxreal_0(A,H) & r1_xxreal_0(H,B) ) ) & ( r1_xxreal_0(B,A) => ( r1_xxreal_0(B,H) & r1_xxreal_0(H,A) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_rlaffin3,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( v1_rlaffin1(C,k15_euclid(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) => ! [E] : ( m2_rlaffin3(E,k15_euclid(A),C) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => ( ( r1_xxreal_0(B,A) & k4_card_1(C) = k2_xcmplx_0(A,1) & F = a_5_0_rlaffin3(A,B,C,D,E) ) => ( v3_pre_topc(D,k15_euclid(B)) <=> v3_pre_topc(F,k15_euclid(A)) ) ) ) ) ) ) ) ) )).
fof(t25_rlsub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => m1_rlsub_1(A,A) ) )).
fof(t25_rlsub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_rlsub_1(B,A) => ! [C] : ( m1_rlsub_1(C,A) => ! [D] : ( m1_rlsub_1(D,A) => m1_rlsub_1(k1_rlsub_2(A,k2_rlsub_2(A,B,C),k2_rlsub_2(A,C,D)),k2_rlsub_2(A,C,k1_rlsub_2(A,B,D))) ) ) ) ) )).
fof(t25_rltopsp1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v2_rltopsp1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => r2_tarski(k4_algstr_0(A,C),B) ) ) ) ) )).
fof(t25_rlvect_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k1_rlvect_1(B,k4_algstr_0(B,C),A) = k4_algstr_0(B,k1_rlvect_1(B,C,A)) ) ) ) )).
fof(t25_rlvect_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),k1_numbers))) ) => r2_relset_1(k4_ordinal1,u1_struct_0(A),k5_rlvect_2(A,k2_pre_poly(u1_struct_0(A)),B),k2_pre_poly(u1_struct_0(A))) ) ) )).
fof(t25_rlvect_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( k1_rlvect_3(A,B) = A & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ~ ( r1_tarski(C,B) & v1_rlvect_3(C,A) & k1_rlvect_3(A,C) = A ) ) ) ) ) )).
fof(t25_rlvect_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( v1_rlvect_3(k8_domain_1(u1_struct_0(A),B,D,C),A) => ( B = C | B = D | C = D | v1_rlvect_3(k8_domain_1(u1_struct_0(A),B,D,k3_rlvect_1(A,C,B)),A) ) ) ) ) ) ) )).
fof(t25_rlvect_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( v1_rlvect_5(A) => ! [B] : ( m1_rlvect_3(B,A) => ! [C] : ( m1_rlvect_3(C,A) => k1_card_1(B) = k1_card_1(C) ) ) ) ) )).
fof(t25_rlvect_x,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( r2_tarski(C,k2_rlvect_x(A,B)) <=> ? [D] : ( m2_finseq_1(D,u1_struct_0(A)) & ? [E] : ( m2_finseq_1(E,u1_struct_0(A)) & ? [F] : ( v1_relat_1(F) & v5_relat_1(F,k4_numbers) & v1_funct_1(F) & v1_finseq_1(F) & C = k4_rlvect_1(A,E) & r1_tarski(k2_relset_1(u1_struct_0(A),D),B) & k3_finseq_1(D) = k3_finseq_1(E) & k3_finseq_1(D) = k3_finseq_1(F) & ! [G] : ( v7_ordinal1(G) => ( r2_tarski(G,k2_finseq_1(k3_finseq_1(D))) => k7_partfun1(u1_struct_0(A),E,G) = k1_rlvect_1(A,k7_partfun1(u1_struct_0(A),D,G),k1_funct_1(F,G)) ) ) ) ) ) ) ) ) )).
fof(t25_rmod_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_vectsp_2(B,A) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v2_vectsp_2(C,A) & v4_vectsp_2(C,A) & l1_vectsp_2(C,A) ) => ( ( m1_rmod_2(C,A,B) & m1_rmod_2(B,A,C) ) => C = B ) ) ) ) )).
fof(t25_rmod_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_rmod_2(C,A,B) => ! [D] : ( ( v2_vectsp_2(D,A) & m1_rmod_2(D,A,B) ) => k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D) = D ) ) ) ) )).
fof(t25_rmod_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_vectsp_2(B,A) & l1_vectsp_2(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => k4_rmod_4(A,B,k12_finseq_1(u1_struct_0(B),C),D) = k12_finseq_1(u1_struct_0(B),k4_vectsp_2(A,B,k3_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)) ) ) ) ) )).
fof(t25_robbins1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_robbins1(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k6_robbins1(A,k6_robbins1(A,B,D),k6_robbins1(A,C,k3_robbins1(A,D))) = k7_robbins1(A) & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),D),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)) = k7_robbins1(A) & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),D),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)) = k7_robbins1(A) & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),D),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),D)) = k7_robbins1(A) & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),k3_robbins1(A,D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),k3_robbins1(A,D))) = k7_robbins1(A) ) ) ) ) ) )).
fof(t25_robbins2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_robbins2(A) & l2_robbins1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k3_robbins1(A,k3_robbins1(A,k1_lattices(A,B,C))) = k1_lattices(A,C,B) ) ) ) )).
fof(t25_robbins3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v10_lattices(A) & v1_lattice3(A) & v2_lattice3(A) & v10_robbins3(A) & l4_robbins3(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => k10_lattice3(A,B,C) = k5_robbins3(A,B,C) ) ) ) )).
fof(t25_robbins4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k2_robbins4)) => ! [B] : ( m1_subset_1(B,u1_struct_0(k2_robbins4)) => ( A = k5_numbers => k4_lattices(k2_robbins4,A,B) = A ) ) ) )).
fof(t25_roughs_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_roughs_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(B,C) => r1_tarski(k4_roughs_1(A,B),k4_roughs_1(A,C)) ) ) ) ) )).
fof(t25_roughs_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => r2_funct_2(k1_zfmisc_1(u1_struct_0(A)),k1_zfmisc_1(u1_struct_0(A)),k5_roughs_2(u1_struct_0(A),k6_roughs_2(A)),k7_roughs_2(A)) ) )).
fof(t25_rpr_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_finset_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => r1_xxreal_0(k1_rpr_1(A,k4_subset_1(A,B,C)),k2_xcmplx_0(k1_rpr_1(A,B),k1_rpr_1(A,C))) ) ) ) )).
fof(t25_rsspace4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ( v3_lopban_1(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(k9_rsspace4(A,B))) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k9_rsspace4(A,B))))) ) => ( v1_rsspace3(C,k9_rsspace4(A,B)) => v3_normsp_1(C,k9_rsspace4(A,B)) ) ) ) ) ) )).
fof(t25_rusub_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( v1_bhsp_1(B) & m1_rusub_1(B,A) ) => ! [C] : ( ( v1_bhsp_1(C) & m1_rusub_1(C,A) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( r1_struct_0(B,D) <=> r1_struct_0(C,D) ) ) => B = C ) ) ) ) )).
fof(t25_rusub_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_rusub_1(B,A) => ! [C] : ( m1_rusub_1(C,A) => ! [D] : ( m1_rusub_1(D,A) => m1_rusub_1(k1_rusub_2(A,k2_rusub_2(A,B,C),k2_rusub_2(A,C,D)),k2_rusub_2(A,C,k1_rusub_2(A,B,D))) ) ) ) ) )).
fof(t25_rusub_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v1_rlvect_3(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,B) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ~ ( D = k7_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C)) & r1_struct_0(k1_rusub_3(A,D),C) ) ) ) ) ) ) ) )).
fof(t25_rusub_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v2_rusub_4(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( r2_tarski(k4_struct_0(A),B) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( v1_xreal_0(D) => ( r2_tarski(C,B) => r2_tarski(k1_rlvect_1(A,C,D),B) ) ) ) ) ) ) )).
fof(t25_rusub_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & v2_bhsp_1(A) & l1_bhsp_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => r1_tarski(B,u1_struct_0(k2_rusub_5(A,k3_rusub_5(A,B)))) ) ) )).
fof(t25_rvsum_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m2_finseq_2(B,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [C] : ( m2_finseq_2(C,k1_numbers,k4_finseq_2(A,k1_numbers)) => ! [D] : ( m2_finseq_2(D,k1_numbers,k4_finseq_2(A,k1_numbers)) => ( k5_rvsum_1(A,C,B) = k5_rvsum_1(A,D,B) => C = D ) ) ) ) ) )).
fof(t25_rvsum_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_valued_0(A) ) => k11_rvsum_2(k6_finseq_1(k2_numbers),A) = k6_finseq_1(k2_numbers) ) )).
fof(t25_rvsum_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v3_valued_0(A) & v1_finseq_1(A) & v1_partfun3(A) ) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( v1_xreal_0(C) => ( r2_tarski(B,k4_finseq_1(A)) => k19_rvsum_1(k1_funct_7(A,B,C)) = k7_xcmplx_0(k3_xcmplx_0(k19_rvsum_1(A),C),k1_funct_1(A,B)) ) ) ) ) )).
fof(t25_scmfsa10,axiom,( ! [A] : ( m1_subset_1(A,k4_compos_0(u1_compos_1(k1_scmfsa_2))) => ( A = 8 => k9_xtuple_0(k10_card_3(k6_compos_0(u1_compos_1(k1_scmfsa_2),A))) = k1_tarski(1) ) ) )).
fof(t25_scmfsa6a,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => k2_scmfsa6a(k2_scmfsa6a(A,B),C) = k2_scmfsa6a(A,k2_scmfsa6a(B,C)) ) ) ) )).
fof(t25_scmfsa8a,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) ) => k2_scmfsa6a(k1_scmfsa6a(A),B) = k2_scmfsa6a(A,B) ) ) )).
fof(t25_scmfsa8c,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v3_compos_1(C,k1_scmfsa_2) & v4_compos_1(C,k1_scmfsa_2) ) => ( r2_tarski(1,k2_afinsq_1(k1_scmfsa8b(A,B,C))) & r2_tarski(1,k2_afinsq_1(k2_scmfsa8b(A,B,C))) ) ) ) ) )).
fof(t25_scmfsa9a,axiom,( ! [A] : ( ( v1_ami_2(A) & m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => k6_sf_mastr(k4_scmfsa_x(A,B)) = k6_sf_mastr(B) ) ) )).
fof(t25_scmfsa_1,axiom,( ! [A] : ( m1_subset_1(A,k4_card_3(k3_relat_1(k4_scmfsa_1,k5_scmfsa_1))) => ! [B] : ( m2_subset_1(B,k1_scmfsa_1,k2_scmfsa_1) => ! [C] : ( v1_int_1(C) => ! [D] : ( m2_subset_1(D,k1_scmfsa_1,k2_scmfsa_1) => ( D != B => k1_funct_1(k7_scmfsa_1(A,B,C),D) = k1_funct_1(A,D) ) ) ) ) ) )).
fof(t25_scmfsa_2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_ami_2(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => k5_compos_0(u1_compos_1(k1_scmfsa_2),k13_scmfsa_2(A,B)) = 8 ) ) )).
fof(t25_scmfsa_9,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_afinsq_1(B) & v3_compos_1(B,k1_scmfsa_2) & v4_compos_1(B,k1_scmfsa_2) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(D) & v5_funct_1(D,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(D,u1_struct_0(k1_scmfsa_2)) ) => r6_pboole(u1_struct_0(k1_scmfsa_2),k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_scmfsa_9(D,B,C,A),1),k5_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(A,k3_scmfsa_x(C,B)),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D),k1_nat_1(k8_extpro_1(k5_card_1(3),k1_scmfsa_2,k1_funct_4(k1_funct_4(A,k3_scmfsa_x(C,B)),B),k8_memstr_0(k5_card_1(3),k1_scmfsa_2,D)),2))) ) ) ) ) )).
fof(t25_scmfsa_m,axiom,( ! [A] : ( ( v1_finset_1(A) & m1_subset_1(A,k1_zfmisc_1(k2_scmfsa_2)) ) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => ~ r2_tarski(k9_scmfsa_m(B,A),A) ) ) )).
fof(t25_scmfsa_x,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_compos_1(A,k1_scmfsa_2) & v4_compos_1(A,k1_scmfsa_2) & v5_amistd_1(A,k5_card_1(3),k1_scmfsa_2) ) => v5_amistd_1(k2_compos_2(k1_scmfsa_2,A,k11_scmfsa_2(k5_numbers)),k5_card_1(3),k1_scmfsa_2) ) )).
fof(t25_scmisort,axiom,( ! [A] : ( m1_scmfsa_2(A) => k3_sf_mastr(k2_scmisort(A)) = k5_enumset1(k4_scmfsa_2(k5_numbers),k4_scmfsa_2(1),k4_scmfsa_2(2),k4_scmfsa_2(3),k4_scmfsa_2(4),k4_scmfsa_2(5),k4_scmfsa_2(6)) ) )).
fof(t25_scmpds_2,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( v1_int_1(B) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmpds_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => k5_compos_0(u1_compos_1(k1_scmpds_2),k16_scmpds_2(C,D,A,B)) = 13 ) ) ) ) )).
fof(t25_scmpds_4,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(A) & v1_funct_1(A) & v1_finset_1(A) & v1_afinsq_1(A) & v3_scmpds_4(A) ) => ! [B] : ( v1_int_1(B) => ! [C] : ( v1_int_1(C) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ( r1_xxreal_0(k5_numbers,k2_xcmplx_0(k4_card_1(A),C)) => v3_scmpds_4(k3_scmpds_4(A,k8_scmpds_2(D,B,C))) ) ) ) ) ) )).
fof(t25_scmpds_5,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_scmpds_4(C) ) => ! [D] : ( v7_ordinal1(D) => ( ( r1_tarski(C,A) & r1_xxreal_0(D,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) ) => k5_extpro_1(k5_card_1(2),k1_scmpds_2,A,B,D) = k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,D) ) ) ) ) ) )).
fof(t25_scmpds_6,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( r1_scmpds_6(C,B,A) & r2_scmpds_6(C,B,A) ) => ( ! [E] : ( v7_ordinal1(E) => ( r1_xxreal_0(E,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B)) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,E)) = k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,E)) ) ) & k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B))) = k6_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,k1_scmpds_4(C,D))),B,k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(A,k10_compos_1(k1_scmpds_2,C)),B))) ) ) ) ) ) ) )).
fof(t25_scmpds_7,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmpds_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(A,u1_struct_0(k1_scmpds_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmpds_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) ) => ! [D] : ( ( v1_relat_1(D) & v4_relat_1(D,k4_ordinal1) & v5_relat_1(D,u1_compos_1(k1_scmpds_2)) & ~ v1_xboole_0(D) & v1_funct_1(D) & v1_finset_1(D) & v1_afinsq_1(D) ) => ( ( r1_tarski(C,D) & r1_scmpds_6(C,A,B) & r2_scmpds_6(C,A,B) ) => k5_memstr_0(k5_card_1(2),k1_scmpds_2,k5_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,D),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A),k8_extpro_1(k5_card_1(2),k1_scmpds_2,k1_funct_4(B,k10_compos_1(k1_scmpds_2,C)),k8_memstr_0(k5_card_1(2),k1_scmpds_2,A)))) = k4_card_1(C) ) ) ) ) ) )).
fof(t25_scmpds_8,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmpds_2)) & v1_funct_1(A) & v1_partfun1(A,k4_ordinal1) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,u1_struct_0(k1_scmpds_2)) & v1_funct_1(B) & v5_funct_1(B,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(B,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(B,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(k1_scmpds_2)) & v1_funct_1(C) & v1_finset_1(C) & v1_afinsq_1(C) & v2_compos_1(C,k1_scmpds_2) & v3_scmpds_4(C) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmpds_2)) ) => ! [E] : ( v1_int_1(E) => ! [F] : ( v1_int_1(F) => ! [G] : ! [H] : ! [I] : ( ( v1_funct_1(I) & v1_funct_2(I,k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1) & m1_subset_1(I,k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(2),k1_scmpds_2)),k4_ordinal1))) ) => ( ( ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ( k1_recdef_1(I,J) = k5_numbers => r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) ) ) & ! [J] : ( ( v1_ami_2(J) & m1_subset_1(J,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(J,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(B,J)) ) ) & ! [J] : ( ( v1_relat_1(J) & v4_relat_1(J,u1_struct_0(k1_scmpds_2)) & v1_funct_1(J) & v5_funct_1(J,k2_memstr_0(k5_card_1(2),k1_scmpds_2)) & v1_partfun1(J,u1_struct_0(k1_scmpds_2)) & v5_memstr_0(J,k5_card_1(2),k1_scmpds_2,k5_numbers) ) => ! [K] : ( ( v1_relat_1(K) & v4_relat_1(K,k4_ordinal1) & v5_relat_1(K,u1_compos_1(k1_scmpds_2)) & v1_funct_1(K) & v1_partfun1(K,k4_ordinal1) ) => ( ( ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(J,L)) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,H) => k1_funct_1(J,L) = k1_funct_1(B,L) ) ) & k1_funct_1(J,D) = k1_funct_1(B,D) ) => ( r1_xxreal_0(k1_funct_1(J,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) | ( k1_funct_1(k6_scmpds_4(C,J,K),D) = k1_funct_1(J,D) & r1_scmpds_6(C,J,K) & r2_scmpds_6(C,J,K) & ~ r1_xxreal_0(k1_recdef_1(I,J),k1_recdef_1(I,k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,J,K)))) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,G) => r1_xxreal_0(k2_xcmplx_0(F,k1_funct_1(k6_scmpds_4(C,J,K),k2_scmpds_2(k1_funct_1(B,D),E))),k1_funct_1(k6_scmpds_4(C,J,K),L)) ) ) & ! [L] : ( ( v1_ami_2(L) & m1_subset_1(L,u1_struct_0(k1_scmpds_2)) ) => ( r2_tarski(L,H) => k1_funct_1(k6_scmpds_4(C,J,K),L) = k1_funct_1(J,L) ) ) ) ) ) ) ) ) => ( r1_xxreal_0(k1_funct_1(B,k2_scmpds_2(k1_funct_1(B,D),E)),k5_numbers) | k6_scmpds_4(k2_scmpds_8(D,E,C),B,A) = k6_scmpds_4(k2_scmpds_8(D,E,C),k8_memstr_0(k5_card_1(2),k1_scmpds_2,k6_scmpds_4(C,B,A)),A) ) ) ) ) ) ) ) ) ) )).
fof(t25_scmring2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => k6_subset_1(u1_struct_0(k1_scmring2(A)),k1_tarski(k4_ordinal1)) = k2_ami_2 ) )).
fof(t25_scmring3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,k4_compos_0(u1_compos_1(k1_scmring2(A)))) => ( B = 5 => k6_compos_0(u1_compos_1(k1_scmring2(A)),B) = k1_tarski(k1_xboole_0) ) ) ) )).
fof(t25_scmyciel,axiom,( ! [A] : v4_scmyciel(k2_tarski(k1_xboole_0,k1_tarski(A))) )).
fof(t25_semi_af1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_semi_af1(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ~ ( B != C & ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => r1_semi_af1(A,B,C,D) ) ) ) ) ) )).
fof(t25_seq_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k1_numbers) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => r2_funct_2(k4_ordinal1,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,C,B),A),k52_valued_1(k4_ordinal1,k1_numbers,k1_numbers,k26_valued_1(k4_ordinal1,k1_numbers,C,A),B)) ) ) ) )).
fof(t25_seq_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v2_comseq_2(A) & v1_comseq_2(B) & k1_seq_2(A) = k5_numbers ) => v2_comseq_2(k20_valued_1(k4_ordinal1,k1_numbers,k1_numbers,A,B)) ) ) ) )).
fof(t25_seq_4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( v3_funct_1(B) => ( ( ~ r2_hidden(A,k1_rvsum_1(B)) & ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) != A ) ) | k1_seq_2(B) = A ) ) ) ) )).
fof(t25_seqfunc,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k4_partfun1(A,k1_numbers)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_partfun1(A,k1_numbers)))) ) => ! [C] : ! [D] : ( ( r1_tarski(D,C) & r3_seqfunc(A,B,C) ) => ( D = k1_xboole_0 | r3_seqfunc(A,B,D) ) ) ) ) )).
fof(t25_seqm_3,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ( v8_valued_0(A) & m2_valued_0(B,k1_numbers,A) ) => v8_valued_0(B) ) ) ) )).
fof(t25_series_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k3_funct_2(k4_ordinal1,k1_numbers,B,k1_nat_1(C,1)) = k3_xcmplx_0(A,k8_nat_1(k1_numbers,B,C)) ) => ( r1_xxreal_0(1,k9_complex1(A)) | ( v1_series_1(B) & k4_series_1(B) = k7_xcmplx_0(k3_funct_2(k4_ordinal1,k1_numbers,B,k5_numbers),k6_xcmplx_0(1,A)) ) ) ) ) ) )).
fof(t25_series_2,axiom,( ! [A] : ( ( v1_funct_1(A) & v1_funct_2(A,k4_ordinal1,k1_numbers) & m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(1,B) => ( k8_nat_1(k1_numbers,A,B) = k7_xcmplx_0(1,k3_xcmplx_0(k6_xcmplx_0(B,1),k1_nat_1(B,1))) & k8_nat_1(k1_numbers,A,k5_numbers) = k5_numbers ) ) ) => ! [B] : ( v7_ordinal1(B) => ( r1_xxreal_0(2,B) => k8_nat_1(k1_numbers,k3_series_1(A),B) = k6_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,k3_xcmplx_0(2,B))),k7_xcmplx_0(1,k2_nat_1(2,k1_nat_1(B,1)))) ) ) ) ) )).
fof(t25_series_3,axiom,( ! [A] : ( ( v1_xreal_0(A) & v2_xxreal_0(A) ) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,k9_complex1(B)) => r1_xxreal_0(k1_square_1(A),k1_square_1(B)) ) ) ) )).
fof(t25_series_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k1_numbers) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(k1_numbers,B,C) = k7_xcmplx_0(k1_nat_1(C,1),k1_nat_1(C,2)) ) => k8_nat_1(k1_numbers,k1_series_3(B),A) = k7_xcmplx_0(1,k1_nat_1(A,2)) ) ) ) )).
fof(t25_series_5,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ~ ( ~ r1_xxreal_0(A,B) & ~ r1_xxreal_0(B,C) & r1_xxreal_0(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_square_1(A),B),k3_xcmplx_0(k1_square_1(B),C)),k3_xcmplx_0(k1_square_1(C),A)),k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(A,k1_square_1(B)),k3_xcmplx_0(B,k1_square_1(C))),k3_xcmplx_0(C,k1_square_1(A)))) ) ) ) ) )).
fof(t25_setfam_1,axiom,( ! [A] : ! [B] : k3_xboole_0(A,k3_tarski(B)) = k3_tarski(k3_setfam_1(k1_tarski(A),B)) )).
fof(t25_setlim_1,axiom,( ! [A] : ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v1_setlim_1(k2_setlim_1(A,B),A) & v1_setlim_1(k4_setlim_1(A,B),A) ) ) )).
fof(t25_setlim_2,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,k9_setfam_1(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k9_setfam_1(A)))) ) => ( v3_prob_1(C) => v3_prob_1(k6_setlim_2(A,C,B)) ) ) ) )).
fof(t25_setwiseo,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B,B),B))) ) => ! [D] : ( m1_subset_1(D,k5_finsub_1(A)) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,A,B) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ( ( v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) ) => ! [F] : ( m1_subset_1(F,B) => ( k7_relset_1(A,B,E,D) = k1_tarski(F) => k7_setwiseo(A,B,C,D,E) = F ) ) ) ) ) ) ) ) )).
fof(t25_setwop_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),A))) ) => ! [C] : ( v7_ordinal1(C) => ( v1_setwiseo(B,A) => k1_finsop_1(A,k5_finseq_2(A,C,k3_binop_1(A,B)),B) = k3_binop_1(A,B) ) ) ) ) )).
fof(t25_sf_mastr,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,k4_ordinal1) & v5_relat_1(A,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(A) & ~ v1_xboole_0(A) & v1_finset_1(A) & v1_afinsq_1(A) ) => ! [B] : ( v7_ordinal1(B) => k3_sf_mastr(A) = k3_sf_mastr(k6_compos_1(k1_scmfsa_2,A,B)) ) ) )).
fof(t25_sfmastr2,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,k4_ordinal1) & v5_relat_1(B,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(B) & v1_partfun1(B,k4_ordinal1) ) => ! [C] : ( ( v1_ami_2(C) & ~ v1_scmfsa_m(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ( r1_xxreal_0(k1_funct_1(A,C),k5_numbers) => k1_funct_1(k1_scmfsa6b(k4_sfmastr2(C),A,B),C) = k1_funct_1(A,C) ) ) ) ) )).
fof(t25_sfmastr3,axiom,( ! [A] : ( ( v1_relat_1(A) & v4_relat_1(A,u1_struct_0(k1_scmfsa_2)) & v1_funct_1(A) & v5_funct_1(A,k2_memstr_0(k5_card_1(3),k1_scmfsa_2)) & v1_partfun1(A,u1_struct_0(k1_scmfsa_2)) ) => ! [B] : ( ( v1_ami_2(B) & ~ v1_scmfsa_m(B) & m1_subset_1(B,u1_struct_0(k1_scmfsa_2)) ) => ! [C] : ( ( v1_ami_2(C) & m1_subset_1(C,u1_struct_0(k1_scmfsa_2)) ) => ! [D] : ( ( v1_ami_2(D) & m1_subset_1(D,u1_struct_0(k1_scmfsa_2)) ) => ! [E] : ( v7_ordinal1(E) => ! [F] : ( ( v1_relat_1(F) & v4_relat_1(F,k4_ordinal1) & v5_relat_1(F,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(F) & v1_partfun1(F,k4_ordinal1) ) => ! [G] : ( ( v1_relat_1(G) & v4_relat_1(G,k4_ordinal1) & v5_relat_1(G,u1_compos_1(k1_scmfsa_2)) & v1_funct_1(G) & ~ v1_xboole_0(G) & v1_finset_1(G) & v1_afinsq_1(G) & v3_compos_1(G,k1_scmfsa_2) & v4_compos_1(G,k1_scmfsa_2) & v5_amistd_1(G,k5_card_1(3),k1_scmfsa_2) & v1_scmfsa7b(G) ) => ( ( k1_funct_1(A,k4_scmfsa_2(k5_numbers)) = 1 & E = k2_xcmplx_0(k6_xcmplx_0(k1_funct_1(A,D),k1_funct_1(A,C)),1) ) => ( ( ~ r1_sfmastr3(F,B,C,D,G,A) & ~ v6_amistd_1(G,k5_card_1(3),k1_scmfsa_2) ) | k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k1_scmfsa6b(k2_sfmastr3(B,C,D,G),A,F)) = k6_memstr_0(k5_card_1(3),k1_scmfsa_2,k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3),k1_scmfsa_2)),k1_sfmastr3(F,B,C,D,G,A),E)) ) ) ) ) ) ) ) ) ) )).
fof(t25_sgraph1,axiom,( ! [A] : r2_sgraph1(A,k3_sgraph1(A)) )).
fof(t25_sheffer1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l3_lattices(A) ) => ( ( ~ v2_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) ) <=> ( v2_sheffer1(A) & v1_sheffer1(A) & v4_lattices(A) & v6_lattices(A) & v11_lattices(A) & v3_sheffer1(A) & v4_sheffer1(A) ) ) ) )).
fof(t25_sheffer2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_sheffer2(A) & l1_sheffer1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,C,B)) = B ) ) ) ) )).
fof(t25_simplex0,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( l1_pre_topc(B) => ( ~ ( v3_pencil_1(B) & ~ r1_xxreal_0(k2_xxreal_3(1),A) ) => ( r1_xxreal_0(k6_simplex0(B),A) <=> ( v3_matroid0(B) & ! [C] : ( ( v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) => ( v3_pre_topc(C,B) => r1_xxreal_0(k4_card_1(C),k1_xxreal_3(A,1)) ) ) ) ) ) ) ) )).
fof(t25_simplex1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( ( v1_matroid0(B) & m1_simplex0(B,u1_struct_0(A)) ) => ( v2_simplex1(B,A) <=> ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( v3_pre_topc(C,B) & v3_pre_topc(D,B) ) => ( r1_xboole_0(k1_rlaffin2(A,k1_simplex1(A,B,C)),k1_rlaffin2(A,k1_simplex1(A,B,D))) | C = D ) ) ) ) ) ) ) )).
fof(t25_simplex2,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_rlaffin1(B,k15_euclid(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) ) => ( k4_card_1(B) = k2_xcmplx_0(A,1) => k2_topdim_1(k15_euclid(A),k3_convex1(k15_euclid(A),B)) = A ) ) ) )).
fof(t25_sin_cos,axiom,( ! [A] : ( v1_xreal_0(A) => k15_sin_cos(k3_xcmplx_0(A,k7_complex1)) = k2_xcmplx_0(k19_sin_cos(A),k3_xcmplx_0(k17_sin_cos(A),k7_complex1)) ) )).
fof(t25_sin_cos2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( k2_xcmplx_0(k1_square_1(k1_funct_1(k1_sin_cos2,A)),k1_square_1(k1_funct_1(k3_sin_cos2,B))) = k3_xcmplx_0(k1_funct_1(k3_sin_cos2,k2_xcmplx_0(A,B)),k1_funct_1(k3_sin_cos2,k6_xcmplx_0(A,B))) & k3_xcmplx_0(k1_funct_1(k3_sin_cos2,k2_xcmplx_0(A,B)),k1_funct_1(k3_sin_cos2,k6_xcmplx_0(A,B))) = k2_xcmplx_0(k1_square_1(k1_funct_1(k3_sin_cos2,A)),k1_square_1(k1_funct_1(k1_sin_cos2,B))) & k2_xcmplx_0(k1_square_1(k1_funct_1(k1_sin_cos2,A)),k1_square_1(k1_funct_1(k3_sin_cos2,B))) = k2_xcmplx_0(k1_square_1(k1_funct_1(k3_sin_cos2,A)),k1_square_1(k1_funct_1(k1_sin_cos2,B))) ) ) ) )).
fof(t25_sin_cos3,axiom,( ! [A] : ( v1_xcmplx_0(A) => k15_sin_cos(A) = k2_xcmplx_0(k7_partfun1(k2_numbers,k4_sin_cos3,A),k7_partfun1(k2_numbers,k3_sin_cos3,A)) ) )).
fof(t25_sin_cos4,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => k2_xcmplx_0(k17_sin_cos(k2_xcmplx_0(A,B)),k17_sin_cos(k6_xcmplx_0(A,B))) = k3_xcmplx_0(2,k3_xcmplx_0(k17_sin_cos(A),k19_sin_cos(B))) ) ) )).
fof(t25_sin_cos5,axiom,( ! [A] : ( v1_xreal_0(A) => k1_newton(k19_sin_cos(A),4) = k7_xcmplx_0(k2_xcmplx_0(k2_xcmplx_0(3,k3_xcmplx_0(4,k19_sin_cos(k3_xcmplx_0(2,A)))),k19_sin_cos(k3_xcmplx_0(4,A))),8) ) )).
fof(t25_sin_cos6,axiom,( ! [A] : ( v1_xreal_0(A) => ( k19_sin_cos(A) = k4_xcmplx_0(1) => A = k2_xcmplx_0(k28_sin_cos,k3_xcmplx_0(k3_xcmplx_0(2,k28_sin_cos),k1_int_1(k7_xcmplx_0(A,k3_xcmplx_0(2,k28_sin_cos))))) ) ) )).
fof(t25_sin_cos7,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( r1_xxreal_0(1,A) & r1_xxreal_0(k6_xcmplx_0(A,k3_square_1(k6_xcmplx_0(k1_square_1(A),1))),k5_numbers) ) ) )).
fof(t25_sin_cos8,axiom,( ! [A] : ( v1_xreal_0(A) => ( ~ r1_xxreal_0(k5_numbers,A) => k2_sin_cos2(k7_xcmplx_0(A,2)) = k4_xcmplx_0(k3_square_1(k7_xcmplx_0(k6_xcmplx_0(k4_sin_cos2(A),1),2))) ) ) )).
fof(t25_sin_cos9,axiom,( k2_partfun1(k1_numbers,k1_numbers,k1_sin_cos9,k1_rcomp_1(k4_xcmplx_0(1),1)) = k2_partfun2(k1_numbers,k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k26_sin_cos,k1_rcomp_1(k4_xcmplx_0(k7_xcmplx_0(k28_sin_cos,4)),k7_xcmplx_0(k28_sin_cos,4)))) )).
fof(t25_sincos10,axiom,( k2_relset_1(k1_numbers,k1_sincos10) = k3_rcomp_1(k5_numbers,k7_xcmplx_0(k28_sin_cos,2)) )).
fof(t25_sppol_1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => m1_subset_1(a_1_1_sppol_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k15_euclid(2))))) ) )).
fof(t25_sppol_2,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(2))) => ! [C] : ( v7_ordinal1(C) => ( r2_tarski(B,k2_topreal1(2,A,C)) => k3_topreal1(2,A) = k3_topreal1(2,k5_finseq_5(u1_struct_0(k15_euclid(2)),A,B,C)) ) ) ) ) )).
fof(t25_sprect_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v2_compts_1(A,k15_euclid(2)) & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) ) => k1_rltopsp1(k15_euclid(2),k11_pscomp_1(A),k12_pscomp_1(A)) = a_1_2_sprect_1(A) ) )).
fof(t25_sprect_2,axiom,( ! [A] : ( ( ~ v1_zfmisc_1(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => r1_sprect_2(A,k12_finseq_1(u1_struct_0(k15_euclid(2)),k12_pscomp_1(k3_topreal1(2,A)))) ) )).
fof(t25_sprect_3,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & ~ v3_funct_1(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => r1_subset_1(k3_goboard9(A),k3_topreal1(2,A)) ) )).
fof(t25_sprect_5,axiom,( ! [A] : ( ( ~ v3_funct_1(A) & ~ v1_xboole_0(A) & v1_finseq_6(A,u1_struct_0(k15_euclid(2))) & v1_topreal1(A) & v2_topreal1(A) & v1_goboard5(A) & v2_goboard5(A) & v1_sprect_2(A) & m2_finseq_1(A,u1_struct_0(k15_euclid(2))) ) => ~ ( k7_partfun1(u1_struct_0(k15_euclid(2)),A,1) = k18_pscomp_1(k3_topreal1(2,A)) & k21_pscomp_1(k3_topreal1(2,A)) != k22_pscomp_1(k3_topreal1(2,A)) & r1_xxreal_0(k4_finseq_4(A,k22_pscomp_1(k3_topreal1(2,A))),k4_finseq_4(A,k21_pscomp_1(k3_topreal1(2,A)))) ) ) )).
fof(t25_square_1,axiom,( ! [A] : ( v1_xreal_0(A) => ~ ( ~ r1_xxreal_0(A,k5_numbers) & r1_xxreal_0(k3_square_1(A),k5_numbers) ) ) )).
fof(t25_stacks_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & v2_stacks_1(A) & v3_stacks_1(A) & v4_stacks_1(A) & v5_stacks_1(A) & v6_stacks_1(A) & l1_stacks_1(A) ) => ! [B] : ( m1_subset_1(B,u4_struct_0(A)) => k11_stacks_1(A,B) = a_2_0_stacks_1(A,B) ) ) )).
fof(t25_stirl2_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => m1_subset_1(k1_card_1(a_2_0_stirl2_1(A,B)),k4_ordinal1) ) ) )).
fof(t25_sublemma,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_valuat_1(C,A,B) => ! [D] : ( m2_subset_1(D,k16_substut1(A),k38_substut1(A)) => ! [E] : ( m2_subset_1(E,k16_substut1(A),k38_substut1(A)) => ( ( k19_substut1(A,D) = k19_substut1(A,E) & ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,D),C,F) <=> r1_sublemma(A,D,B,k1_sublemma(A,B,F,k3_sublemma(A,D,B,F)),C) ) ) & ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,E),C,F) <=> r1_sublemma(A,E,B,k1_sublemma(A,B,F,k3_sublemma(A,E,B,F)),C) ) ) ) => ! [F] : ( m2_funct_2(F,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ( r1_valuat_1(A,B,k39_substut1(A,k6_sublemma(A,D,E)),C,F) <=> r1_sublemma(A,k6_sublemma(A,D,E),B,k1_sublemma(A,B,F,k3_sublemma(A,k6_sublemma(A,D,E),B,F)),C) ) ) ) ) ) ) ) ) )).
fof(t25_subset_1,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( ( r1_xboole_0(B,C) & r1_xboole_0(k3_subset_1(A,B),k3_subset_1(A,C)) ) => B = k3_subset_1(A,C) ) ) ) )).
fof(t25_substlat,axiom,( ! [A] : ! [B] : ! [C] : ( m2_subset_1(C,k5_finsub_1(k4_partfun1(A,B)),k1_substlat(A,B)) => k3_substlat(A,B,k4_substlat(A,B,C,C)) = C ) )).
fof(t25_substut1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m1_subset_1(B,k16_substut1(A)) => ( ( v2_substut1(B,A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,k18_substut1(A,B)),1)) = k5_numbers ) & ~ ( v4_substut1(B,A) & ! [C] : ( v7_ordinal1(C) => ~ m2_subset_1(k1_funct_1(k11_qc_lang1(A,k18_substut1(A,B)),1),k6_qc_lang1(A),k8_qc_lang1(A,C)) ) ) & ( v5_substut1(B,A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,k18_substut1(A,B)),1)) = 1 ) & ( v6_substut1(B,A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,k18_substut1(A,B)),1)) = 2 ) & ( v7_substut1(B,A) => k1_xtuple_0(k1_funct_1(k11_qc_lang1(A,k18_substut1(A,B)),1)) = 3 ) ) ) ) )).
fof(t25_substut2,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( m2_subset_1(B,k9_qc_lang1(A),k3_cqc_lang(A)) => ! [C] : ( m1_subset_1(C,k1_substut1(A)) => k7_cqc_sim1(A,B) = k7_cqc_sim1(A,k39_substut1(A,k2_substut2(A,B,C))) ) ) ) )).
fof(t25_supinf_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k6_numbers)) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [D] : ( m1_subset_1(D,A) => ( r1_xxreal_0(k2_supinf_1,k12_supinf_2(C,D)) & r1_xxreal_0(k12_supinf_2(C,D),k1_supinf_1) ) ) ) ) ) )).
fof(t25_symsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_symsp_1(B,A) & l1_symsp_1(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ~ ( ~ r1_orders_2(B,D,C) & ~ r1_orders_2(B,E,C) & k1_symsp_1(A,B,C,D,E) != k9_algstr_0(A,k1_symsp_1(A,B,C,E,D)) ) ) ) ) ) ) )).
fof(t25_sysrel,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ! [C] : ( r2_hidden(k4_tarski(B,C),k1_sysrel(A)) => ( r2_hidden(B,k9_xtuple_0(k1_sysrel(A))) & B = C ) ) ) )).
fof(t25_taxonom1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,A),k1_numbers))) ) => ! [C] : ( ( v1_partfun1(C,A) & v3_relat_2(C) & v8_relat_2(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,A))) ) => ( ( r2_relset_1(A,A,C,k13_lang1(A,k1_taxonom1(A,B,k5_numbers))) & v1_taxonom1(B,A) & v2_metric_1(B,A) & v3_metric_1(B,A) ) => k8_eqrel_1(A,C) = k10_eqrel_1(A) ) ) ) ) )).
fof(t25_taylor_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_numbers)) => ( ( r1_tarski(C,k1_relset_1(k1_numbers,B)) & r1_taylor_1(B,A,C) ) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( ( r1_tarski(k1_rcomp_1(D,E),C) & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,C),A),k1_rcomp_1(D,E))) & r1_taylor_1(B,k1_nat_1(A,1),k2_rcomp_1(D,E)) ) => ( r1_xxreal_0(E,D) | ! [F] : ( v1_xreal_0(F) => ! [G] : ( ( v1_funct_1(G) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))) ) => ( ( k1_relset_1(k1_numbers,G) = k2_subset_1(k1_numbers) & ! [H] : ( v1_xreal_0(H) => k1_funct_1(G,H) = k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(B,E),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(B,C,H,E)),A)),k7_xcmplx_0(k3_xcmplx_0(F,k1_newton(k6_xcmplx_0(E,H),k1_nat_1(A,1))),k2_newton(k1_nat_1(A,1)))) ) & k6_xcmplx_0(k6_xcmplx_0(k1_funct_1(B,E),k8_nat_1(k1_numbers,k3_series_1(k6_taylor_1(B,C,D,E)),A)),k7_xcmplx_0(k3_xcmplx_0(F,k1_newton(k6_xcmplx_0(E,D),k1_nat_1(A,1))),k2_newton(k1_nat_1(A,1)))) = k5_numbers ) => ( r2_fdiff_1(G,k2_rcomp_1(D,E)) & k1_funct_1(G,D) = k5_numbers & k1_funct_1(G,E) = k5_numbers & v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,G,k1_rcomp_1(D,E))) & ! [H] : ( v1_xreal_0(H) => ( r2_hidden(H,k2_rcomp_1(D,E)) => k1_fdiff_1(G,H) = k2_xcmplx_0(k4_xcmplx_0(k7_xcmplx_0(k3_xcmplx_0(k1_funct_1(k1_seqfunc(k1_numbers,k1_numbers,k5_taylor_1(B,k2_rcomp_1(D,E)),k1_nat_1(A,1)),H),k1_newton(k6_xcmplx_0(E,H),A)),k2_newton(A))),k7_xcmplx_0(k3_xcmplx_0(F,k1_newton(k6_xcmplx_0(E,H),A)),k2_newton(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_taylor_2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v7_ordinal1(C) => ( ~ r1_xxreal_0(A,k5_numbers) => ( k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k16_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,C),1)) = k8_nat_1(k1_numbers,k3_series_1(k20_sin_cos(B)),C) & k3_funct_2(k4_ordinal1,k1_numbers,k3_series_1(k1_taylor_2(k18_sin_cos,k2_rcomp_1(k4_xcmplx_0(A),A),B)),k1_nat_1(k3_xcmplx_0(2,C),1)) = k8_nat_1(k1_numbers,k3_series_1(k21_sin_cos(B)),C) ) ) ) ) ) )).
fof(t25_tbsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v6_tbsp_1(B,A) & v6_tbsp_1(C,A) ) => ( r1_xboole_0(B,C) | r1_xxreal_0(k2_tbsp_1(A,k4_subset_1(u1_struct_0(A),B,C)),k2_xcmplx_0(k2_tbsp_1(A,B),k2_tbsp_1(A,C))) ) ) ) ) ) )).
fof(t25_tdlat_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_tops_1(B,A) => v6_tops_1(k1_tops_1(A,B),A) ) ) ) )).
fof(t25_tdlat_2,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r2_tarski(C,B) => ( r1_tarski(k1_tops_1(A,C),k5_setfam_1(u1_struct_0(A),k1_tdlat_2(A,B))) & r1_tarski(k6_setfam_1(u1_struct_0(A),k1_tdlat_2(A,B)),k1_tops_1(A,C)) ) ) ) ) ) )).
fof(t25_tdlat_3,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B = k1_tarski(C) => v3_pre_topc(k2_pre_topc(A,B),A) ) ) ) => v3_tdlat_3(A) ) ) )).
fof(t25_termord,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( ( v1_partfun1(B,k15_pre_poly(A)) & v1_relat_2(B) & v4_relat_2(B) & v6_relat_2(B) & v8_relat_2(B) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k15_pre_poly(A),k15_pre_poly(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_struct_0(C) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(C)) => ( r6_pboole(A,k3_termord(A,B,C,k4_polynom7(A,C,D)),k16_pre_poly(A)) & k4_termord(A,B,C,k4_polynom7(A,C,D)) = D ) ) ) ) ) )).
fof(t25_tex_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,A) => ! [C] : ( ( ~ v2_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) ) => ( g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(k3_tex_1(A,B)),u1_pre_topc(k3_tex_1(A,B))) <=> ( u1_struct_0(C) = A & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( ( r1_tarski(D,k6_subset_1(A,k6_domain_1(A,B))) => v3_pre_topc(D,C) ) & ( v3_pre_topc(D,C) => ( D = A | r1_tarski(D,k6_subset_1(A,k6_domain_1(A,B))) ) ) ) ) ) ) ) ) ) )).
fof(t25_tex_2,axiom,( ! [A] : ( l1_pre_topc(A) => ( ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) & v4_pre_topc(C,A) ) => ( v4_pre_topc(k9_subset_1(u1_struct_0(A),B,C),A) & v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( ( v4_pre_topc(B,A) & v4_pre_topc(C,A) & v2_tex_2(B,A) & v2_tex_2(C,A) ) => v2_tex_2(k4_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) ) )).
fof(t25_tex_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ( ( v1_tex_3(B,A) | v1_tex_3(C,A) ) => ( v1_tex_3(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A) ) ) ) ) ) )).
fof(t25_tex_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_1_tex_4(A,B))) ) ) )).
fof(t25_tietze_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( v7_ordinal1(B) => ( ( r1_xxreal_0(1,B) & ! [C] : ( ( v2_pre_topc(C) & l1_pre_topc(C) ) => ! [D] : ( ( ~ v1_xboole_0(D) & v4_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) => ( ? [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k15_euclid(B)))) & v2_compts_1(F,k15_euclid(B)) & ~ v2_tops_1(F,k15_euclid(B)) & v1_convex1(F,k15_euclid(B)) & r1_metrizts(C,k15_euclid(B),E,F) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(C,E))) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_pre_topc(A,D)),u1_struct_0(k1_pre_topc(C,E))))) ) => ~ ( v5_pre_topc(F,k1_pre_topc(A,D),k1_pre_topc(C,E)) & ! [G] : ( ( v1_funct_1(G) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(k1_pre_topc(C,E))) & m1_subset_1(G,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_pre_topc(C,E))))) ) => ~ ( v5_pre_topc(G,A,k1_pre_topc(C,E)) & k2_partfun1(u1_struct_0(A),u1_struct_0(k1_pre_topc(C,E)),G,D) = F ) ) ) ) ) ) ) ) ) => v10_pre_topc(A) ) ) ) )).
fof(t25_tmap_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & m1_pre_topc(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ( ( m1_pre_topc(C,B) & m1_pre_topc(D,B) ) => ( r1_tsep_1(C,D) | m1_pre_topc(k2_tsep_1(A,C,D),B) ) ) ) ) ) ) )).
fof(t25_toler_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,k3_tarski(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(A)))) ) => ! [C] : ( ( v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,k3_tarski(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k3_tarski(A),k3_tarski(A)))) ) => ( ( ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),B) <=> ? [F] : ( r2_tarski(F,A) & r2_hidden(D,F) & r2_hidden(E,F) ) ) & ! [D] : ! [E] : ( r2_hidden(k4_tarski(D,E),C) <=> ? [F] : ( r2_tarski(F,A) & r2_hidden(D,F) & r2_hidden(E,F) ) ) ) => r2_relset_1(k3_tarski(A),k3_tarski(A),B,C) ) ) ) )).
fof(t25_topalg_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_borsuk_6(A,B,C) & r1_borsuk_6(A,B,D) ) => ! [E] : ( m1_borsuk_2(E,A,B,C) => ! [F] : ( m1_borsuk_2(F,A,B,C) => ! [G] : ( m1_borsuk_2(G,A,B,D) => ( r3_borsuk_2(A,B,C,E,F) => r3_borsuk_2(A,B,C,E,k1_borsuk_2(A,B,B,C,k1_borsuk_2(A,B,D,B,G,k2_borsuk_2(A,B,D,G)),F)) ) ) ) ) ) ) ) ) ) )).
fof(t25_topalg_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v1_borsuk_2(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_borsuk_2(F,A,D,E) => m1_borsuk_2(k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),F,C),B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).
fof(t25_topalg_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(B)) => ! [I] : ( m1_borsuk_2(I,k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G)) => ! [J] : ( m1_borsuk_2(J,k2_borsuk_1(A,B),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H)) => ! [K] : ( m1_borsuk_2(K,B,F,G) => ! [L] : ( m1_borsuk_2(L,B,G,H) => ( ( r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G)) & r1_borsuk_6(k2_borsuk_1(A,B),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),K,k4_topalg_4(A,B,k5_topmetr,I)) & r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),L,k4_topalg_4(A,B,k5_topmetr,J)) ) => r2_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(B),k4_topalg_4(A,B,k5_topmetr,k1_borsuk_2(k2_borsuk_1(A,B),k4_borsuk_1(A,B,C,F),k4_borsuk_1(A,B,D,G),k4_borsuk_1(A,B,E,H),I,J)),k1_borsuk_2(B,F,G,H,K,L)) ) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_topalg_5,axiom,( ! [A] : ( v1_int_1(A) => ! [B] : ( m1_borsuk_2(B,k2_topalg_2,k4_toprealb(k5_numbers),k4_toprealb(A)) => k1_funct_1(k7_topalg_5,A) = k6_eqrel_1(k2_topalg_1(k8_toprealb(2),k9_toprealb),k2_topalg_1(k8_toprealb(2),k9_toprealb),k4_topalg_1(k8_toprealb(2),k9_toprealb),k1_partfun1(u1_struct_0(k5_topmetr),u1_struct_0(k2_topalg_2),u1_struct_0(k2_topalg_2),u1_struct_0(k8_toprealb(2)),B,k12_toprealb)) ) ) )).
fof(t25_topalg_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_borsuk_2(D,A,B,C) => ( r1_borsuk_2(A,B,C) => ( v7_topalg_6(D,A) & m2_subset_1(D,k4_partfun1(k1_numbers,k2_struct_0(A)),k1_topalg_6(A)) ) ) ) ) ) ) )).
fof(t25_topdim_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ( ( r1_borsuk_3(A,B) & v3_topdim_1(A) ) => k4_topdim_1(A) = k4_topdim_1(B) ) ) ) )).
fof(t25_topgen_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( C = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),B) => k3_topgen_1(A,C) = k6_domain_1(k1_zfmisc_1(u1_struct_0(A)),k2_topgen_1(A,B)) ) ) ) ) )).
fof(t25_topgen_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ~ v4_pre_topc(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( v4_pre_topc(k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C)),A) => k2_pre_topc(A,B) = k4_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),C)) ) ) ) ) ) )).
fof(t25_topgen_3,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k4_ordinal1) => r1_xxreal_0(k4_series_1(k7_nat_1(k1_numbers,k4_topgen_3(A,k7_xcmplx_0(1,2)),k1_nat_1(B,1))),k1_newton(k7_xcmplx_0(1,2),B)) ) )).
fof(t25_topgen_4,axiom,( ! [A] : ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) => r1_ordinal1(k1_card_1(k2_topgen_4(A,B,C)),k1_card_1(k2_zfmisc_1(B,C))) ) ) )).
fof(t25_topgen_5,axiom,( v3_pre_topc(k7_subset_1(u1_struct_0(k15_euclid(2)),k2_topgen_5,k1_topgen_5),k3_topgen_5) & m1_subset_1(k7_subset_1(u1_struct_0(k15_euclid(2)),k2_topgen_5,k1_topgen_5),k1_zfmisc_1(u1_struct_0(k3_topgen_5))) )).
fof(t25_topgrp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v3_tops_2(C,A,B) <=> ( k1_relset_1(u1_struct_0(A),C) = k2_struct_0(A) & k2_relset_1(u1_struct_0(B),C) = k2_struct_0(B) & v2_funct_1(C) & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(D,A) <=> v3_pre_topc(k7_relset_1(u1_struct_0(A),u1_struct_0(B),C,D),B) ) ) ) ) ) ) ) )).
fof(t25_topreal1,axiom,( ! [A] : ( m2_finseq_1(A,u1_struct_0(k15_euclid(2))) => ( v4_topreal1(A) => r1_topreal1(k15_euclid(2),k7_partfun1(u1_struct_0(k15_euclid(2)),A,1),k7_partfun1(u1_struct_0(k15_euclid(2)),A,k3_finseq_1(A)),k3_topreal1(2,A)) ) ) )).
fof(t25_topreal3,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ! [F] : ( m1_subset_1(F,u1_struct_0(k14_euclid(2))) => ~ ( r2_tarski(k19_euclid(B,C),k8_metric_1(k14_euclid(2),F,A)) & r2_tarski(k19_euclid(D,E),k8_metric_1(k14_euclid(2),F,A)) & ~ r2_tarski(k19_euclid(B,E),k8_metric_1(k14_euclid(2),F,A)) & ~ r2_tarski(k19_euclid(D,C),k8_metric_1(k14_euclid(2),F,A)) ) ) ) ) ) ) ) )).
fof(t25_topreal4,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(2)))) => ( ( v2_topreal4(C,k15_euclid(2)) & r2_tarski(A,C) & B = a_2_1_topreal4(A,C) ) => v3_pre_topc(B,k15_euclid(2)) ) ) ) ) )).
fof(t25_topreal6,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k14_euclid(2))) => ! [B] : ( m1_subset_1(B,u1_struct_0(k14_euclid(2))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k15_euclid(2))) => ( ( A = k16_euclid(2) & B = C ) => k3_metric_1(k14_euclid(2),A,B) = k12_euclid(C) ) ) ) ) )).
fof(t25_topreal7,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k4_ordinal1) => r1_t_0topsp(k2_borsuk_1(k3_pcomps_1(k14_euclid(A)),k3_pcomps_1(k14_euclid(B))),k3_pcomps_1(k14_euclid(k1_nat_1(A,B)))) ) ) )).
fof(t25_topreal8,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ! [C] : ( ( ~ v1_xboole_0(C) & v1_topreal1(C) & m2_finseq_1(C,u1_struct_0(k15_euclid(2))) ) => v1_topreal1(k2_graph_2(u1_struct_0(k15_euclid(2)),C,A,B)) ) ) ) )).
fof(t25_topreala,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ( r1_xxreal_0(A,B) & r1_xxreal_0(A,C) ) => ( v3_pre_topc(k4_rcomp_1(C,B),k4_topmetr(A,B)) & m1_subset_1(k4_rcomp_1(C,B),k1_zfmisc_1(u1_struct_0(k4_topmetr(A,B)))) ) ) ) ) ) )).
fof(t25_toprealb,axiom,( ! [A] : ( m1_subset_1(A,u1_struct_0(k15_euclid(2))) => ( ( m1_subset_1(A,u1_struct_0(k11_toprealb(k10_toprealb))) & k18_euclid(A) = k5_numbers ) => A = k9_toprealb ) ) )).
fof(t25_toprealc,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) => k2_rltopsp1(k15_euclid(A),B) = k2_toprealc(B) ) ) )).
fof(t25_toprns_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(k15_euclid(A))) => r1_xxreal_0(k5_numbers,k12_euclid(B)) ) ) )).
fof(t25_tops_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v3_pre_topc(B,A) <=> ! [C] : ( r2_tarski(C,B) <=> ? [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & r1_tarski(D,B) & r2_tarski(C,D) ) ) ) ) ) )).
fof(t25_tops_2,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_pre_topc(C,A) => ( v3_pre_topc(B,A) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) => ( D = B => v3_pre_topc(D,C) ) ) ) ) ) ) )).
fof(t25_tops_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ~ ( v3_tops_1(B,A) & v1_tops_1(B,A) ) ) ) )).
fof(t25_tops_4,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A))) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A))))) ) => ( v5_pre_topc(B,k3_topmetr,k15_euclid(A)) <=> ! [C] : ( m1_subset_1(C,u1_struct_0(k3_topmetr)) => ! [D] : ( ( v1_xreal_0(D) & v2_xxreal_0(D) ) => ? [E] : ( v1_xreal_0(E) & v2_xxreal_0(E) & r1_tarski(k7_relset_1(u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A)),B,k2_rcomp_1(k6_xcmplx_0(C,E),k2_xcmplx_0(C,E))),k1_topreal9(A,k3_funct_2(u1_struct_0(k3_topmetr),u1_struct_0(k15_euclid(A)),B,C),D)) ) ) ) ) ) ) )).
fof(t25_transgeo,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v1_transgeo(A) & l1_analoaf(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v3_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( ( r3_transgeo(A,B) & r3_transgeo(A,C) ) => r3_transgeo(A,k1_transgeo(u1_struct_0(A),C,B)) ) ) ) ) )).
fof(t25_trees_1,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_trees_1(B) ) => ( ~ v1_xboole_0(k3_xboole_0(A,B)) & v1_trees_1(k3_xboole_0(A,B)) ) ) ) )).
fof(t25_trees_2,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_trees_1(A) ) => ! [B] : ( m2_finseq_1(B,k4_ordinal1) => ! [C] : ( m2_finseq_1(C,k4_ordinal1) => ! [D] : ( ( v2_trees_2(D,A) & m1_trees_2(D,A) ) => ( ( r1_tarski(B,C) & r2_tarski(C,D) ) => r2_tarski(B,D) ) ) ) ) ) )).
fof(t25_trees_3,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) ) => ( ( v4_trees_3(A) & v4_trees_3(B) ) <=> v4_trees_3(k7_finseq_1(A,B)) ) ) ) )).
fof(t25_trees_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m1_subset_1(C,A) => ! [D] : ( m1_subset_1(D,B) => ( k8_trees_3(A,B,k2_trees_4(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D))) = k2_trees_4(A,C) & k9_trees_3(A,B,k2_trees_4(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D))) = k2_trees_4(B,D) ) ) ) ) ) )).
fof(t25_trees_9,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(B) & v3_trees_3(B) ) => ( v1_xboole_0(k12_trees_9(B,A)) <=> ! [C] : ( m1_subset_1(C,B) => ( v1_zfmisc_1(C) & ~ r2_tarski(k1_funct_1(C,k1_xboole_0),A) ) ) ) ) )).
fof(t25_tsep_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) ) => ( v1_tsep_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A) ) ) ) ) )).
fof(t25_tsep_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( ( ~ v2_struct_0(D) & m1_pre_topc(D,A) ) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(D))) => ! [F] : ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) => ( ( E = B & F = C ) => ( r1_connsp_1(A,B,C) <=> r1_connsp_1(D,E,F) ) ) ) ) ) ) ) ) )).
fof(t25_tsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k8_relset_1(u1_struct_0(A),u1_struct_0(B),k1_tsp_2(A,B),k6_domain_1(u1_struct_0(B),D)) = k4_tex_4(A,C) ) ) ) ) ) )).
fof(t25_turing_1,axiom,( ! [A] : ( l1_turing_1(A) => ! [B] : ( m1_subset_1(B,k3_zfmisc_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)))) => ! [C] : ! [D] : ! [E] : ( B = k3_xtuple_0(C,D,E) => ( C = u5_turing_1(A) | k8_turing_1(A,B) = k3_xtuple_0(k1_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(A,B)),k2_xcmplx_0(k6_turing_1(A,B),k5_turing_1(A,k7_turing_1(A,B))),k4_turing_1(A,k3_mcart_1(u2_turing_1(A),k4_numbers,k9_funct_2(k4_numbers,u1_turing_1(A)),B),k6_turing_1(A,B),k2_mcart_1(u2_turing_1(A),u1_turing_1(A),k1_enumset1(k4_xcmplx_0(1),k5_numbers,1),k7_turing_1(A,B)))) ) ) ) ) )).
fof(t25_twoscomp,axiom,( k1_funct_1(k13_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,k5_numbers)) = 1 & k1_funct_1(k13_twoscomp,k11_finseq_1(k5_numbers,k5_numbers,1)) = 1 & k1_funct_1(k13_twoscomp,k11_finseq_1(k5_numbers,1,k5_numbers)) = 1 & k1_funct_1(k13_twoscomp,k11_finseq_1(k5_numbers,1,1)) = 1 & k1_funct_1(k13_twoscomp,k11_finseq_1(1,k5_numbers,k5_numbers)) = 1 & k1_funct_1(k13_twoscomp,k11_finseq_1(1,k5_numbers,1)) = 1 & k1_funct_1(k13_twoscomp,k11_finseq_1(1,1,k5_numbers)) = 1 & k1_funct_1(k13_twoscomp,k11_finseq_1(1,1,1)) = k5_numbers )).
fof(t25_unialg_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => v2_binop_1(k10_unialg_2(A),k9_unialg_2(A)) ) )).
fof(t25_uniroots,axiom,( ! [A] : ( ( ~ v8_ordinal1(A) & m1_subset_1(A,k4_ordinal1) ) => ! [B] : ( m1_subset_1(B,k2_numbers) => ! [C] : ( m1_subset_1(C,k2_numbers) => ( ( r2_tarski(B,k2_uniroots(A)) & r2_tarski(C,k2_uniroots(A)) ) => r2_tarski(k3_xcmplx_0(B,C),k2_uniroots(A)) ) ) ) ) )).
fof(t25_uproots,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v5_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,k4_ordinal1,u1_struct_0(A)) & v1_polynom1(C,A) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(A)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(k13_polynom3(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k13_polynom3(A))) => ( ( B = D & C = E ) => k2_normsp_1(A,B,C) = k5_algstr_0(k13_polynom3(A),D,E) ) ) ) ) ) ) )).
fof(t25_urysohn2,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ~ ( ~ r1_xxreal_0(B,A) & ! [C] : ( v1_xreal_0(C) => ~ ( r2_hidden(C,k3_urysohn1) & ~ r1_xxreal_0(C,A) & ~ r1_xxreal_0(B,C) ) ) ) ) ) )).
fof(t25_valuat_1,axiom,( ! [A] : ( m1_qc_lang1(A) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( m2_subset_1(C,k2_qc_lang1(A),k3_qc_lang1(A)) => ! [D] : ( m2_funct_2(D,k3_qc_lang1(A),B,k2_valuat_1(A,B)) => ! [E] : ( m2_funct_2(E,k2_valuat_1(A,B),k5_margrel1,k9_funct_2(k2_valuat_1(A,B),k5_margrel1)) => ( k3_funct_2(k2_valuat_1(A,B),k5_margrel1,k3_valuat_1(A,B,C,E),D) = k7_margrel1 => k3_funct_2(k2_valuat_1(A,B),k5_margrel1,E,D) = k7_margrel1 ) ) ) ) ) ) )).
fof(t25_valued_0,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,k4_ordinal1,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,A))) ) => ( ! [C] : ( v7_ordinal1(C) => k8_nat_1(A,B,C) = k8_nat_1(A,B,k1_nat_1(C,1)) ) => v3_funct_1(B) ) ) ) )).
fof(t25_valued_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( v7_ordinal1(B) => r1_tarski(k10_xtuple_0(k61_valued_1(A,B)),k10_xtuple_0(A)) ) ) )).
fof(t25_valued_2,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_valued_0(A) ) => ! [B] : ( ( v1_relat_1(B) & v1_funct_1(B) & v1_valued_0(B) ) => k30_valued_1(k18_valued_1(A,B)) = k18_valued_1(k30_valued_1(A),B) ) ) )).
fof(t25_vectsp10,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( m1_subset_1(D,u1_struct_0(k6_vectsp10(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(B)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ( D = k3_vectsp_4(A,B,E,C) => k3_vectsp_1(A,k6_vectsp10(A,B,C),F,D) = k3_vectsp_4(A,B,k3_vectsp_1(A,B,F,E),C) ) ) ) ) ) ) ) )).
fof(t25_vectsp11,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v3_group_1(B) & v5_group_1(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,B) & v9_vectsp_1(C,B) & v10_vectsp_1(C,B) & v11_vectsp_1(C,B) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,B) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(C)) & v13_vectsp_1(D,C,C) & v1_mod_2(D,B,C,C) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))) ) => m1_vectsp_4(k1_ranknull(B,C,C,k1_vectsp11(C,D,A)),B,k2_vectsp11(B,C,D)) ) ) ) ) )).
fof(t25_vectsp_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( B != k4_struct_0(A) => ( k9_algstr_0(A,B) != k4_struct_0(A) & k4_algstr_0(A,k9_algstr_0(A,B)) != k4_struct_0(A) ) ) ) ) )).
fof(t25_vectsp_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l2_vectsp_2(C,A,B) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ! [G] : ( m1_subset_1(G,u1_struct_0(B)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(C)) => ( k3_vectsp_1(A,C,D,k1_algstr_0(C,H,I)) = k1_algstr_0(C,k3_vectsp_1(A,C,D,H),k3_vectsp_1(A,C,D,I)) & k3_vectsp_1(A,C,k3_rlvect_1(A,D,E),H) = k1_algstr_0(C,k3_vectsp_1(A,C,D,H),k3_vectsp_1(A,C,E,H)) & k3_vectsp_1(A,C,k6_algstr_0(A,D,E),H) = k3_vectsp_1(A,C,D,k3_vectsp_1(A,C,E,H)) & k3_vectsp_1(A,C,k1_group_1(A),H) = H & k4_vectsp_2(B,C,F,k1_algstr_0(C,H,I)) = k1_algstr_0(C,k4_vectsp_2(B,C,F,H),k4_vectsp_2(B,C,F,I)) & k4_vectsp_2(B,C,k3_rlvect_1(B,F,G),H) = k1_algstr_0(C,k4_vectsp_2(B,C,F,H),k4_vectsp_2(B,C,G,H)) & k4_vectsp_2(B,C,k6_algstr_0(B,G,F),H) = k4_vectsp_2(B,C,F,k4_vectsp_2(B,C,G,H)) & k4_vectsp_2(B,C,k1_group_1(B),H) = H & k3_vectsp_1(A,C,D,k4_vectsp_2(B,C,F,H)) = k4_vectsp_2(B,C,F,k3_vectsp_1(A,C,D,H)) ) ) ) ) ) ) ) <=> ( v4_vectsp_2(C,B) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v5_vectsp_2(C,A,B) ) ) ) ) ) )).
fof(t25_vectsp_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v7_vectsp_1(B,A) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v7_vectsp_1(C,A) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ( ( m1_vectsp_4(C,A,B) & m1_vectsp_4(B,A,C) ) => C = B ) ) ) ) )).
fof(t25_vectsp_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => ! [D] : ( ( v7_vectsp_1(D,A) & m1_vectsp_4(D,A,B) ) => k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,D,C)) = D ) ) ) ) )).
fof(t25_vectsp_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_6(C,A,B) => ! [D] : ( m1_vectsp_6(D,A,B) => r1_vectsp_6(A,B,k5_vectsp_6(A,B,C,D),k5_vectsp_6(A,B,D,C)) ) ) ) ) )).
fof(t25_vectsp_9,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v8_vectsp_1(B,A) & v9_vectsp_1(B,A) & v10_vectsp_1(B,A) & v11_vectsp_1(B,A) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v1_matrlin(B,A) & l1_vectsp_1(B,A) ) => ! [C] : ( m1_vectsp_4(C,A,B) => r1_xxreal_0(k1_vectsp_9(A,C),k1_vectsp_9(A,B)) ) ) ) )).
fof(t25_vfunct_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_normsp_1(B) & l1_normsp_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,D),k6_vfunct_1(A,B,C,k5_vfunct_1(A,B,D))) ) ) ) ) )).
fof(t25_vfunct_2,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_normsp_0(B) & v4_normsp_0(B) & v2_clvect_1(B) & v3_clvect_1(B) & v4_clvect_1(B) & v5_clvect_1(B) & v8_clvect_1(B) & l2_clvect_1(B) ) => ! [C] : ( ( v1_funct_1(C) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,u1_struct_0(B)))) ) => r2_relset_1(A,u1_struct_0(B),k2_vfunct_1(A,B,C,D),k3_vfunct_2(A,B,C,k5_vfunct_1(A,B,D))) ) ) ) ) )).
fof(t25_vsdiff_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_group_1(A) & v5_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v6_struct_0(B) & v13_algstr_0(B) & v33_algstr_0(B) & v4_vectsp_1(B) & v5_vectsp_1(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_group_1(B) & v5_group_1(B) & l6_algstr_0(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v13_algstr_0(C) & v8_vectsp_1(C,A) & v9_vectsp_1(C,A) & v10_vectsp_1(C,A) & v11_vectsp_1(C,A) & v2_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_1(C,A) ) => ! [D] : ( ( ~ v2_struct_0(D) & v13_algstr_0(D) & v8_vectsp_1(D,B) & v9_vectsp_1(D,B) & v10_vectsp_1(D,B) & v11_vectsp_1(D,B) & v2_rlvect_1(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & l1_vectsp_1(D,B) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [F] : ( ( v1_funct_1(F) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m1_subset_1(F,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C),u1_struct_0(D)))) ) => ! [G] : ( m1_subset_1(G,u1_struct_0(C)) => ! [H] : ( m1_subset_1(H,u1_struct_0(C)) => ! [I] : ( m1_subset_1(I,u1_struct_0(B)) => ! [J] : ( m1_subset_1(J,u1_struct_0(B)) => ! [K] : ( v7_ordinal1(K) => k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,k1_vfunct_1(u1_struct_0(C),D,k1_vsdiff_1(u1_struct_0(C),B,D,E,I),k1_vsdiff_1(u1_struct_0(C),B,D,F,J))),k1_nat_1(K,1)),G) = k3_rlvect_1(D,k3_vectsp_1(B,D,I,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,E),k1_nat_1(K,1)),G)),k3_vectsp_1(B,D,J,k7_partfun1(u1_struct_0(D),k1_seqfunc(u1_struct_0(C),u1_struct_0(D),k11_vsdiff_1(A,B,C,H,D,F),k1_nat_1(K,1)),G))) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t25_waybel10,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) <=> v4_waybel_0(k1_yellow_2(A,A,B),A) ) ) ) )).
fof(t25_waybel11,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(k4_waybel11(A,B))) => C = B ) ) ) )).
fof(t25_waybel12,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v13_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ( v13_waybel_0(a_2_2_waybel12(A,B),A) & m1_subset_1(a_2_2_waybel12(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t25_waybel13,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( ( v1_relat_1(B) & v4_relat_1(B,A) & v1_funct_1(B) & v1_partfun1(B,A) & v1_yellow_1(B) & v4_waybel_3(B) & v5_waybel_3(B) ) => ( ! [C] : ( m1_subset_1(C,A) => ( v3_orders_2(k3_waybel_3(A,B,C)) & v4_orders_2(k3_waybel_3(A,B,C)) & v5_orders_2(k3_waybel_3(A,B,C)) & v1_lattice3(k3_waybel_3(A,B,C)) & v2_lattice3(k3_waybel_3(A,B,C)) & v1_yellow_0(k3_waybel_3(A,B,C)) & v2_waybel_8(k3_waybel_3(A,B,C)) & l1_orders_2(k3_waybel_3(A,B,C)) ) ) => ( v3_orders_2(k4_yellow_1(A,B)) & v4_orders_2(k4_yellow_1(A,B)) & v5_orders_2(k4_yellow_1(A,B)) & v1_lattice3(k4_yellow_1(A,B)) & v2_lattice3(k4_yellow_1(A,B)) & v1_yellow_0(k4_yellow_1(A,B)) & v2_waybel_8(k4_yellow_1(A,B)) & l1_orders_2(k4_yellow_1(A,B)) ) ) ) ) )).
fof(t25_waybel14,axiom,( ! [A] : ( ( v2_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v4_waybel11(A) & l1_waybel_9(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(k5_waybel11(A))))) => ! [C] : ( ( v2_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ( B = a_2_2_waybel14(A,C) => v1_waybel_0(B,k1_yellow_1(k5_waybel11(A))) ) ) ) ) )).
fof(t25_waybel15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v11_waybel_1(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ( r1_tarski(C,k1_waybel15(A)) => ( r2_tarski(B,C) <=> ( v1_waybel15(B,A) & r3_orders_2(A,B,k1_yellow_0(A,C)) ) ) ) ) ) ) )).
fof(t25_waybel16,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( v4_waybel_6(B,A) => r1_tarski(k1_waybel16(A),B) ) ) ) )).
fof(t25_waybel17,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_yellow_0(B,a_4_4_waybel17(A,B,C,D)) ) => v5_orders_3(C,A,B) ) ) ) ) )).
fof(t25_waybel19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v1_tops_2(B,A) & v2_cantor_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & l1_waybel_0(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( r2_tarski(D,E) & r2_tarski(E,B) ) => r1_waybel_0(A,C,E) ) ) => r2_tarski(D,k9_yellow_6(A,C)) ) ) ) ) ) )).
fof(t25_waybel20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & l1_orders_2(C) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(C)))) ) => ( ( v17_waybel_0(D,A,B) & v17_waybel_0(E,B,C) ) => v17_waybel_0(k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) )).
fof(t25_waybel21,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ( ~ v1_xboole_0(a_2_0_waybel21(A,B)) & v1_waybel_0(a_2_0_waybel21(A,B),A) & m1_subset_1(a_2_0_waybel21(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ) ) )).
fof(t25_waybel23,axiom,( ! [A] : ( ( v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel23(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => v2_lattice3(k5_yellow_0(A,B)) ) ) )).
fof(t25_waybel24,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_yellow_1(u1_struct_0(A),B)))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => k1_funct_1(k1_yellow_0(k5_yellow_1(u1_struct_0(A),B),C),D) = k1_yellow_0(B,a_4_1_waybel24(A,B,C,D)) ) ) ) ) )).
fof(t25_waybel25,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v4_orders_2(C) & v7_waybel_0(C) & v10_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) & l1_waybel_0(C,k3_waybel24(A,k1_waybel25(B))) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => v10_waybel_0(k2_waybel25(u1_struct_0(A),k1_waybel25(B),k3_waybel24(A,k1_waybel25(B)),C,D),k1_waybel25(B)) ) ) ) ) )).
fof(t25_waybel26,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v2_pre_topc(B) & v6_pre_topc(B) & l1_pre_topc(B) ) => ~ ( v1_lattice3(k1_waybel26(A,B)) & v7_pre_topc(B) ) ) ) )).
fof(t25_waybel27,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v3_orders_2(C) & v5_orders_2(C) & l1_orders_2(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v3_orders_2(D) & v5_orders_2(D) & l1_orders_2(D) ) => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) & g1_orders_2(u1_struct_0(C),u1_orders_2(C)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) ) => k2_waybel27(A,C) = k2_waybel27(B,D) ) ) ) ) ) )).
fof(t25_waybel28,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( m2_yellow_6(C,A,k4_waybel17(A,B)) => k1_waybel11(A,C) = k1_yellow_0(A,B) ) ) ) )).
fof(t25_waybel29,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & v6_pre_topc(A) & l1_pre_topc(A) ) => ( v3_waybel_3(k1_yellow_1(u1_pre_topc(A))) <=> ! [B] : ( ( ~ v2_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) ) => v23_waybel_0(k3_waybel29(B,A),k1_yellow_1(u1_pre_topc(k2_borsuk_1(B,A))),k3_waybel24(B,k1_waybel29(k1_yellow_1(u1_pre_topc(A))))) ) ) ) )).
fof(t25_waybel30,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k1_waybel30(A,k6_waybel_0(A,B)) = k2_waybel_3(A,B) ) ) )).
fof(t25_waybel31,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( v2_pre_topc(B) & v2_waybel19(B) & m1_yellow_9(B,A) ) => k1_waybel31(A) = k2_waybel23(B) ) ) )).
fof(t25_waybel32,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v24_waybel_0(A) & v25_waybel_0(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => k1_waybel_2(A,k2_waybel32(A,B)) = k1_waybel11(A,k5_waybel_9(A,B,C)) ) ) ) )).
fof(t25_waybel33,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel33(B) & m1_yellow_9(B,A) ) => ! [C] : ( ( v2_pre_topc(C) & v2_waybel19(C) & m1_yellow_9(C,A) ) => m2_yellow_9(B,C) ) ) ) )).
fof(t25_waybel34,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v17_waybel_0(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v4_waybel11(D) & m1_yellow_9(D,B) ) => ! [E] : ( ( v4_waybel11(E) & m1_yellow_9(E,A) ) => ! [F] : ( ( v3_pre_topc(F,D) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) ) => k7_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),F) = k9_subset_1(u1_struct_0(A),k2_relset_1(u1_struct_0(A),k1_waybel34(A,B,C)),k4_waybel_0(A,k7_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),F))) ) ) ) ) ) ) )).
fof(t25_waybel35,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_waybel35(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ! [C] : ( ( v3_waybel35(C,A,B) & m1_waybel35(C,A,B) ) => r1_waybel35(A,k6_waybel35(A,B,C),B) ) ) ) )).
fof(t25_waybel_0,axiom,( ! [A] : ( l1_orders_2(A) => ! [B] : ( l1_orders_2(B) => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( C = D => ( ( v12_waybel_0(C,A) => v12_waybel_0(D,B) ) & ( v13_waybel_0(C,A) => v13_waybel_0(D,B) ) ) ) ) ) ) ) ) )).
fof(t25_waybel_1,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)))) ) => ( ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) & v2_funct_2(D,u1_struct_0(A)) ) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r4_waybel_1(B,k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,E),k8_relset_1(u1_struct_0(B),u1_struct_0(A),D,k6_domain_1(u1_struct_0(A),E))) ) ) ) ) ) ) )).
fof(t25_waybel_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & v5_orders_2(A) & l1_orders_2(A) ) => ! [B] : ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,u1_struct_0(A)))) ) => r1_tarski(k2_relset_1(u1_struct_0(A),C),k2_relset_1(u1_struct_0(A),k1_waybel_0(A,k2_waybel_2(A,B,C)))) ) ) )).
fof(t25_waybel_3,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r3_orders_2(A,B,C) <=> r1_tarski(k1_waybel_3(A,B),k1_waybel_3(A,C)) ) ) ) ) )).
fof(t25_waybel_4,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_yellow_0(A) & v1_lattice3(A) & l1_orders_2(A) ) => ( v1_funct_1(k8_funcop_1(k1_zfmisc_1(u1_struct_0(A)),u1_struct_0(A),k6_domain_1(u1_struct_0(A),k3_yellow_0(A)))) & v1_funct_2(k8_funcop_1(k1_zfmisc_1(u1_struct_0(A)),u1_struct_0(A),k6_domain_1(u1_struct_0(A),k3_yellow_0(A))),u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))) & m1_subset_1(k8_funcop_1(k1_zfmisc_1(u1_struct_0(A)),u1_struct_0(A),k6_domain_1(u1_struct_0(A),k3_yellow_0(A))),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k1_yellow_1(k7_waybel_0(A)))))) ) ) )).
fof(t25_waybel_5,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ( ( r1_yellow_0(A,C) & r1_yellow_0(A,D) & D = a_3_0_waybel_5(A,B,C) ) => r1_orders_2(A,k1_yellow_0(A,D),k12_lattice3(A,B,k1_yellow_0(A,C))) ) ) ) ) ) )).
fof(t25_waybel_6,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( v5_waybel_6(B,A) <=> ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(k2_yellow_1(k1_tarski(C)))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(k2_yellow_1(k1_tarski(C)))))) ) => ( ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ( k3_funct_2(u1_struct_0(A),u1_struct_0(k2_yellow_1(k1_tarski(C))),D,E) = k1_xboole_0 <=> r3_orders_2(A,E,B) ) ) => ( v19_waybel_0(D,A,k2_yellow_1(k1_tarski(C))) & v20_waybel_0(D,A,k2_yellow_1(k1_tarski(C))) ) ) ) ) ) ) )).
fof(t25_waybel_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v2_waybel_1(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) => ! [C] : ( ( ~ v1_xboole_0(C) & v2_waybel_0(C,A) & v13_waybel_0(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( r1_subset_1(B,C) & ! [D] : ( ( ~ v1_xboole_0(D) & v2_waybel_0(D,A) & v13_waybel_0(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) ) => ~ ( v2_waybel_7(D,A) & r1_tarski(C,D) & r1_subset_1(B,D) ) ) ) ) ) ) )).
fof(t25_waybel_8,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v1_yellow_0(A) & v2_waybel_8(A) & l1_orders_2(A) ) => ! [B] : ( ( v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v7_waybel_1(B,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v22_waybel_0(B,A,A) => k7_relset_1(u1_struct_0(A),u1_struct_0(A),B,k2_struct_0(k1_waybel_8(A))) = k2_struct_0(k1_waybel_8(k1_yellow_2(A,A,B))) ) ) ) )).
fof(t25_waybel_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & v8_pre_topc(A) & v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_waybel_9(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & v3_yellow_6(B,A) & l1_waybel_0(B,A) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))) ) => ( v5_pre_topc(C,A,A) => r2_tarski(k3_funct_2(u1_struct_0(A),u1_struct_0(A),C,k10_yellow_6(A,B)),k9_yellow_6(A,k6_waybel_9(A,A,C,B))) ) ) ) ) )).
fof(t25_weddwitt,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v6_struct_0(A) & v13_algstr_0(A) & v33_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v3_group_1(A) & l6_algstr_0(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => r1_tarski(u1_struct_0(k4_weddwitt(A)),u1_struct_0(k5_weddwitt(A,B))) ) ) )).
fof(t25_weierstr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(A)))) => ~ ( B != k1_xboole_0 & v2_compts_1(B,k3_pcomps_1(A)) & C != k1_xboole_0 & v2_compts_1(C,k3_pcomps_1(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(k3_pcomps_1(A))) => ~ ( r2_tarski(D,C) & k3_funct_2(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k5_weierstr(A,B),D) = k2_weierstr(k7_relset_1(u1_struct_0(k3_pcomps_1(A)),u1_struct_0(k3_topmetr),k5_weierstr(A,B),C)) ) ) ) ) ) ) )).
fof(t25_wellord1,axiom,( ! [A] : ! [B] : ( v1_relat_1(B) => ( v2_wellord1(B) => v2_wellord1(k2_wellord1(B,A)) ) ) )).
fof(t25_wsierp_1,axiom,( ! [A] : ( v7_ordinal1(A) => ! [B] : ( v7_ordinal1(B) => ~ ( ? [C] : ( v1_rat_1(C) & A = k1_newton(C,B) ) & ! [C] : ( v7_ordinal1(C) => A != k1_newton(C,B) ) ) ) ) )).
fof(t25_xboole_1,axiom,( ! [A] : ! [B] : ! [C] : k2_xboole_0(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(B,C)),k3_xboole_0(C,A)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(B,C)),k2_xboole_0(C,A)) )).
fof(t25_xboolean,axiom,( ! [A] : ( v1_xboolean(A) => ! [B] : ( v1_xboolean(B) => ! [C] : ( v1_xboolean(C) => k4_xboolean(k3_xboolean(A),k7_xboolean(B,C)) = k4_xboolean(k4_xboolean(k3_xboolean(A),k5_xboolean(k3_xboolean(B),C)),k5_xboolean(k3_xboolean(C),B)) ) ) ) )).
fof(t25_xcmplx_1,axiom,( ! [A] : ( v1_xcmplx_0(A) => ! [B] : ( v1_xcmplx_0(B) => A = k2_xcmplx_0(A,k6_xcmplx_0(B,B)) ) ) )).
fof(t25_xreal_1,axiom,( ! [A] : ( v1_xreal_0(A) => ! [B] : ( v1_xreal_0(B) => ( r1_xxreal_0(A,k4_xcmplx_0(B)) => r1_xxreal_0(B,k4_xcmplx_0(A)) ) ) ) )).
fof(t25_xtuple_0,axiom,( ! [A] : ! [B] : r1_tarski(k4_xboole_0(k9_xtuple_0(A),k9_xtuple_0(B)),k9_xtuple_0(k4_xboole_0(A,B))) )).
fof(t25_xxreal_0,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_xxreal_0(A,k4_xxreal_0(A,B)) ) ) )).
fof(t25_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => r1_tarski(k4_xxreal_1(A,B),k1_xxreal_1(A,B)) ) ) )).
fof(t25_xxreal_2,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ( r1_xxreal_0(A,B) => k2_xxreal_2(k1_xxreal_1(A,B)) = A ) ) ) )).
fof(t25_xxreal_3,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k2_xxreal_3(k1_xxreal_3(A,B)) = k3_xxreal_3(k2_xxreal_3(B),A) ) ) )).
fof(t25_yellow10,axiom,( ! [A] : ( ( v5_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( ( v5_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B)))) => ( k4_yellow_3(A,B,k2_yellow_4(k3_yellow_3(A,B),C,D)) = k2_yellow_4(A,k4_yellow_3(A,B,C),k4_yellow_3(A,B,D)) & k5_yellow_3(A,B,k2_yellow_4(k3_yellow_3(A,B),C,D)) = k2_yellow_4(B,k5_yellow_3(A,B,C),k5_yellow_3(A,B,D)) ) ) ) ) ) )).
fof(t25_yellow12,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,A)))) => ( r1_yellow_0(A,k7_relset_1(u1_struct_0(k3_yellow_3(A,A)),u1_struct_0(A),k5_waybel_2(A),B)) => r4_waybel_0(k3_yellow_3(A,A),A,k5_waybel_2(A),B) ) ) ) )).
fof(t25_yellow13,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m2_yellow13(B,A) => ~ v1_xboole_0(B) ) ) )).
fof(t25_yellow14,axiom,( ! [A] : ( l1_pre_topc(A) => ! [B] : ( l1_pre_topc(B) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) => ( ( C = D & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v2_compts_1(C,A) ) => v2_compts_1(D,B) ) ) ) ) ) )).
fof(t25_yellow15,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => m1_waybel23(k2_struct_0(A),A) ) )).
fof(t25_yellow16,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v5_orders_2(B) & l1_orders_2(B) ) => ( r4_yellow16(B,A) => v3_waybel_3(B) ) ) ) )).
fof(t25_yellow18,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & v11_altcat_1(C) & v12_altcat_1(C) & l2_altcat_1(C) ) => ! [D] : ( ( ~ v2_struct_0(D) & v2_altcat_1(D) & v11_altcat_1(D) & v12_altcat_1(D) & l2_altcat_1(D) ) => ( ( r2_yellow18(A,B) & r2_yellow18(C,D) & r1_yellow18(A,C) ) => r1_yellow18(B,D) ) ) ) ) ) )).
fof(t25_yellow19,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_tarski(C,k2_pre_topc(A,B)) <=> ? [D] : ( ~ v1_xboole_0(D) & v1_subset_1(D,u1_struct_0(k2_yellow_1(k2_struct_0(A)))) & v2_waybel_0(D,k2_yellow_1(k2_struct_0(A))) & v13_waybel_0(D,k2_yellow_1(k2_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A))))) & r2_tarski(B,D) & r1_waybel_7(A,D,C) ) ) ) ) ) )).
fof(t25_yellow20,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v11_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ( ( r1_yellow20(A,B) & ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => ( C = D => k8_altcat_1(A,C) = k8_altcat_1(B,D) ) ) ) ) => ( v2_struct_0(k2_yellow20(A,B)) | ( v2_altcat_1(k2_yellow20(A,B)) & v3_altcat_2(k2_yellow20(A,B),A) & m1_altcat_2(k2_yellow20(A,B),A) ) ) ) ) ) )).
fof(t25_yellow_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v5_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( B = k12_lattice3(A,B,C) <=> r3_orders_2(A,B,C) ) ) ) ) )).
fof(t25_yellow_1,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) => ( v1_tops_2(B,A) <=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_1(u1_pre_topc(A))))) ) ) ) )).
fof(t25_yellow_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_orders_2(A) ) => ( ! [B] : r2_yellow_0(A,B) => v3_lattice3(A) ) ) )).
fof(t25_yellow_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) ) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) ) => ( v13_waybel_0(k6_yellow_3(A,B,C,D),k3_yellow_3(A,B)) => ( v13_waybel_0(C,A) & v13_waybel_0(D,B) ) ) ) ) ) ) )).
fof(t25_yellow_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v4_orders_2(A) & v5_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( ( ~ v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) => r2_lattice3(A,B,k1_yellow_0(A,k2_yellow_4(A,B,C))) ) ) ) )).
fof(t25_yellow_5,axiom,( ! [A] : ( ( v5_orders_2(A) & v2_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => k12_lattice3(A,B,k3_yellow_0(A)) = k3_yellow_0(A) ) ) )).
fof(t25_yellow_6,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & l1_struct_0(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v4_orders_2(B) & v7_waybel_0(B) & l1_waybel_0(B,A) ) => ! [C] : ( m3_yellow_6(C,u1_struct_0(B),A) => ( ( r2_tarski(B,k5_yellow_6(A)) & ! [D] : ( m1_subset_1(D,u1_struct_0(B)) => r2_tarski(k6_yellow_6(u1_struct_0(B),A,C,D),k5_yellow_6(A)) ) ) => r2_tarski(k7_yellow_6(A,B,C),k5_yellow_6(A)) ) ) ) ) )).
fof(t25_yellow_7,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) ) => ( v2_waybel_1(A) <=> v2_waybel_1(k7_lattice3(A)) ) ) )).
fof(t25_yellow_8,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_yellow_8(A)))) => ( v4_pre_topc(B,k1_yellow_8(A)) <=> ( B = A | v1_finset_1(B) ) ) ) ) )).
fof(t25_yellow_9,axiom,( ! [A] : ( ( v2_pre_topc(A) & l1_pre_topc(A) ) => ! [B] : ( ( v2_pre_topc(B) & l1_pre_topc(B) ) => ! [C] : ( ( v1_tops_2(C,A) & v1_cantor_1(C,A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) => ( ( u1_struct_0(A) = u1_struct_0(B) & v1_tops_2(C,B) & v1_cantor_1(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) ) => u1_pre_topc(A) = u1_pre_topc(B) ) ) ) ) )).
fof(t25_zf_fund1,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ( B != D => k3_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(C,D)),k2_tarski(k4_tarski(B,E),k4_tarski(D,F))) = k2_tarski(k4_tarski(A,E),k4_tarski(C,F)) ) )).
fof(t25_zf_lang,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( k1_funct_1(A,1) = 1 => v3_zf_lang(A) ) ) )).
fof(t25_zf_lang1,axiom,( ! [A] : ( ( v1_zf_lang(A) & m2_finseq_1(A,k4_ordinal1) ) => ( v9_zf_lang(A) => k24_zf_lang(A) = k20_zf_lang(k19_zf_lang(A)) ) ) )).
fof(t25_zfmisc_1,axiom,( ! [A] : k3_tarski(k1_tarski(A)) = A )).
fof(t25_zfrefle1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( v3_ordinal1(B) => ( r2_ordinal2(A,B) => ( v4_ordinal1(A) <=> v4_ordinal1(B) ) ) ) ) )).
fof(t25_zmodul01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul01(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(B)) => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).
fof(t25_zmodul02,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_zmodul02(B,A) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( k18_zmodul02(A,B) = k7_domain_1(u1_struct_0(A),C,D) => ( C = D | k21_zmodul02(A,B) = k3_rlvect_1(A,k1_zmodul01(A,C,k3_funct_2(u1_struct_0(A),k4_numbers,B,C)),k1_zmodul01(A,D,k3_funct_2(u1_struct_0(A),k4_numbers,B,D))) ) ) ) ) ) ) )).
fof(t25_zmodul03,axiom,( ! [A] : ( ( v7_ordinal1(A) & v1_int_2(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & v1_zmodul03(B) & l1_zmodul01(B) ) => ! [C] : ( m1_zmodul03(C,B) => ! [D] : ( ( ~ v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k12_zmodul02(A,B)))) ) => ~ ( D = a_3_0_zmodul03(A,B,C) & ! [E] : ( ( v1_funct_1(E) & v1_funct_2(E,D,u1_struct_0(B)) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(D,u1_struct_0(B)))) ) => ~ ( ! [F] : ( m1_subset_1(F,u1_struct_0(B)) => ( r2_tarski(F,C) => k1_funct_1(E,k13_zmodul02(A,B,F)) = F ) ) & v2_funct_1(E) & k1_relset_1(D,E) = D & k2_relset_1(u1_struct_0(B),E) = C ) ) ) ) ) ) ) )).
fof(t25_zmodul04,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m2_zmodul02(C,A,B) => ! [D] : ( m2_zmodul02(D,A,B) => ( k9_subset_1(u1_struct_0(A),k18_zmodul02(A,C),k18_zmodul02(A,D)) = k1_xboole_0 => k18_zmodul02(A,k22_zmodul02(A,C,D)) = k4_subset_1(u1_struct_0(A),k18_zmodul02(A,C),k18_zmodul02(A,D)) ) ) ) ) ) )).
fof(t25_zmodul05,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v2_zmodul01(B) & v3_zmodul01(B) & v4_zmodul01(B) & v5_zmodul01(B) & l1_zmodul01(B) ) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v13_vectsp_1(C,A,B) & v1_zmodul05(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) ) => ( v2_funct_1(C) => k3_zmodul05(A,B,C) = k3_zmodul01(A) ) ) ) ) )).
fof(t25_zmodul06,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_zmodul01(A) & v3_zmodul01(A) & v4_zmodul01(A) & v5_zmodul01(A) & l1_zmodul01(A) ) => ! [B] : ( ( v1_zmodul03(B) & m1_zmodul01(B,A) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_zmodul02(C,A) & k33_zmodul02(A,C) = k4_zmodul01(B) ) ) ) )).
fof(t260_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(A,C) => r1_tarski(k1_xxreal_1(B,C),k2_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t261_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(A,C) => r1_tarski(k3_xxreal_1(B,C),k2_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t262_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k4_xxreal_1(B,C),k2_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t263_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( r1_xxreal_0(C,A) => r1_tarski(k4_xxreal_1(B,C),k4_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t264_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xxreal_0(C) => ( ~ r1_xxreal_0(A,C) => r1_tarski(k3_xxreal_1(B,C),k4_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t265_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,A) => r1_tarski(k1_xxreal_1(C,B),k3_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t266_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,A) => r1_tarski(k2_xxreal_1(C,B),k3_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t267_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( ~ r1_xxreal_0(A,B) => r1_tarski(k1_xxreal_1(C,B),k4_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t268_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => ! [C] : ( v1_xreal_0(C) => ( r1_xxreal_0(B,A) => r1_tarski(k2_xxreal_1(C,B),k4_xxreal_1(k2_xxreal_0,A)) ) ) ) ) )).
fof(t269_xxreal_1,axiom,( ! [A] : ( v1_xxreal_0(A) => ! [B] : ( v1_xxreal_0(B) => k3_xboole_0(k4_xxreal_1(k2_xxreal_0,B),k4_xxreal_1(A,k1_xxreal_0)) = k4_xxreal_1(A,B) ) ) )).
fof(t26_abcmiz_0,axiom,( ! [A] : ( ( v3_orders_2(A) & v4_orders_2(A) & v5_orders_2(A) & v1_lattice3(A) & v9_abcmiz_0(A) & l2_abcmiz_0(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_abcmiz_0(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r2_abcmiz_0(A,C,B) => ( ~ v1_xboole_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k4_abcmiz_0(A,B),k5_waybel_0(A,C))) & v1_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k4_abcmiz_0(A,B),k5_waybel_0(A,C)),A) & v12_waybel_0(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k4_abcmiz_0(A,B),k5_waybel_0(A,C)),A) & m1_subset_1(k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k4_abcmiz_0(A,B),k5_waybel_0(A,C)),k1_zfmisc_1(u1_struct_0(A))) ) ) ) ) ) )).
fof(t26_abcmiz_1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k2_abcmiz_1)) => k1_abcmiz_1(k1_tarski(k4_tarski(k1_abcmiz_1(B),A))) = k2_xboole_0(k1_abcmiz_1(B),k1_tarski(k4_tarski(k1_abcmiz_1(B),A))) ) ) )).
fof(t26_abcmiz_a,axiom,( ! [A] : ( ( v1_instalg1(A) & v1_abcmiz_1(A) & v3_abcmiz_1(A) & v1_abcmiz_a(A) & l1_msualg_1(A) ) => ! [B] : ( m1_subset_1(B,k3_card_3(u3_msualg_1(A,k1_msafree3(A,k28_abcmiz_1(A))))) => ( ( v9_abcmiz_1(B,A) & m1_abcmiz_1(B,A,k12_abcmiz_1(A)) ) <=> ( r2_tarski(k1_xfamily(k1_funct_1(B,k1_xboole_0)),k20_abcmiz_1) & k1_xfamily(k1_xfamily(k1_funct_1(B,k1_xboole_0))) = k6_abcmiz_1 ) ) ) ) )).
fof(t26_absred_0,axiom,( ! [A] : ( l1_absred_0(A) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ( ( r1_absred_0(A,B,C) & r1_absred_0(A,C,D) ) => r4_absred_0(A,B,D) ) ) ) ) ) )).
fof(t26_absvalue,axiom,( ! [A] : ( v1_xreal_0(A) => r1_xxreal_0(k5_numbers,k2_xcmplx_0(A,k9_complex1(A))) ) )).
fof(t26_aescip_1,axiom,( v2_funct_1(k6_aescip_1) & v2_funct_2(k6_aescip_1,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & v2_funct_1(k7_aescip_1) & v2_funct_2(k7_aescip_1,k4_finseq_2(4,k4_finseq_2(4,k4_finseq_2(8,k5_margrel1)))) & k7_aescip_1 = k2_funct_1(k6_aescip_1) & k6_aescip_1 = k2_funct_1(k7_aescip_1) )).
fof(t26_aff_1,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ( ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ? [D] : ( m1_subset_1(D,u1_struct_0(A)) & r2_aff_1(A,C,D,B) ) ) => v1_aff_1(B,A) ) ) ) )).
fof(t26_aff_4,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) => ! [E] : ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) => ( ( v1_aff_4(D,A) & v1_aff_4(E,A) & v1_aff_1(B,A) & v1_aff_1(C,A) & r1_tarski(B,D) & r1_tarski(C,D) & r1_tarski(B,E) & r1_tarski(C,E) ) => ( B = C | D = E ) ) ) ) ) ) ) )).
fof(t26_afinsq_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_finset_1(A) ) => ! [B] : ( ( v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_finset_1(B) ) => k10_xtuple_0(k1_ordinal4(A,B)) = k2_xboole_0(k10_xtuple_0(A),k10_xtuple_0(B)) ) ) )).
fof(t26_afinsq_2,axiom,( ! [A] : ( ( v1_finset_1(A) & v6_membered(A) ) => ! [B] : ( ( v1_finset_1(B) & v6_membered(B) ) => ~ ( B != k1_xboole_0 & ? [C] : ( r2_tarski(C,A) & r2_afinsq_2(k1_tarski(C),B) ) & ~ r1_xxreal_0(k1_recdef_1(k4_afinsq_2(A),k5_numbers),k1_recdef_1(k4_afinsq_2(B),k5_numbers)) ) ) ) )).
fof(t26_afproj,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) => ! [D] : ( m1_subset_1(D,u1_incsp_1(k13_afproj(A))) => ! [E] : ( m1_subset_1(E,u2_incsp_1(k13_afproj(A))) => ( ( B = D & k4_tarski(C,1) = E ) => ( r1_incsp_1(k13_afproj(A),D,E) <=> ( v1_aff_1(C,A) & r2_tarski(B,C) ) ) ) ) ) ) ) ) )).
fof(t26_afvect0,axiom,( ! [A] : ( ( ~ v7_struct_0(A) & v1_afvect0(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ! [G] : ( m1_subset_1(G,u1_struct_0(A)) => ( ( r2_afvect0(A,B,F,D) & r2_afvect0(A,C,G,E) & r1_afvect0(A,F,G) ) => r2_analoaf(A,B,C,E,D) ) ) ) ) ) ) ) ) )).
fof(t26_algspec1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ( v2_funct_1(A) => ! [B] : ( m1_algspec1(B,A) => B = k2_funct_1(A) ) ) ) )).
fof(t26_algstr_4,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k12_algstr_4(A)) => ! [C] : ( m1_subset_1(C,k12_algstr_4(A)) => m1_subset_1(k4_tarski(k4_tarski(k4_tarski(k1_xfamily(B),k1_xfamily(C)),k2_xfamily(B)),k2_xcmplx_0(k2_xfamily(B),k2_xfamily(C))),k12_algstr_4(A)) ) ) ) )).
fof(t26_altcat_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & m1_altcat_2(B,A) ) => ! [C] : ( ( ~ v2_struct_0(C) & v2_altcat_1(C) & m1_altcat_2(C,A) ) => ( ( u1_struct_0(B) = u1_struct_0(C) & u1_altcat_1(B) = u1_altcat_1(C) ) => g2_altcat_1(u1_struct_0(B),u1_altcat_1(B),u2_altcat_1(B)) = g2_altcat_1(u1_struct_0(C),u1_altcat_1(C),u2_altcat_1(C)) ) ) ) ) )).
fof(t26_altcat_3,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v11_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( ( v6_altcat_3(B,A) & v6_altcat_3(C,A) ) => r2_altcat_3(A,B,C) ) ) ) ) )).
fof(t26_altcat_4,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_altcat_1(A) & v12_altcat_1(A) & l2_altcat_1(A) ) => ! [B] : ( ( ~ v2_struct_0(B) & v2_altcat_1(B) & v12_altcat_1(B) & l2_altcat_1(B) ) => ! [C] : ( ( v15_functor0(C,A,B) & m2_functor0(C,A,B) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_altcat_1(A,D,E)) => ( ( v18_functor0(C,A,B) & v17_functor0(C,A,B) & v1_altcat_3(k6_functor0(A,B,C,D,E,F),B,k3_functor0(A,B,C,D),k3_functor0(A,B,C,E)) ) => ( k1_altcat_1(A,D,E) = k1_xboole_0 | k1_altcat_1(A,E,D) = k1_xboole_0 | v1_altcat_3(F,A,D,E) ) ) ) ) ) ) ) ) )).
fof(t26_ami_2,axiom,( ! [A] : ( m1_subset_1(A,k1_ami_2) => ( A = k4_ordinal1 | r2_tarski(A,k2_ami_2) ) ) )).
fof(t26_ami_3,axiom,( k2_compos_1(k1_ami_3) = k3_xtuple_0(k5_numbers,k1_xboole_0,k1_xboole_0) )).
fof(t26_ami_wstd,axiom,( ! [A] : ( ~ v1_setfam_1(A) => ! [B] : ( ( ~ v2_struct_0(B) & v2_memstr_0(B,A) & v3_memstr_0(B,A) & v2_ami_wstd(B,A) & l1_extpro_1(B,A) ) => ! [C] : ( ( v1_relat_1(C) & v4_relat_1(C,k4_ordinal1) & v5_relat_1(C,u1_compos_1(B)) & ~ v1_xboole_0(C) & v1_funct_1(C) & v1_finset_1(C) & v5_ami_wstd(C,A,B) ) => r2_tarski(k1_ami_wstd(A,B,k5_numbers),k1_relset_1(k4_ordinal1,C)) ) ) ) )).
fof(t26_analmetr,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(k2_analmetr(A,B,C))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k2_analmetr(A,B,C))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k2_analmetr(A,B,C))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k2_analmetr(A,B,C))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k2_analmetr(A,B,C))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k2_analmetr(A,B,C))) => ~ ( r4_analmetr(k2_analmetr(A,B,C),D,E,F,G) & r2_analoaf(k2_analmetr(A,B,C),D,E,H,I) & D != E & ~ r4_analmetr(k2_analmetr(A,B,C),F,G,H,I) ) ) ) ) ) ) ) ) ) ) )).
fof(t26_analoaf,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ( ? [B] : ( m1_subset_1(B,u1_struct_0(A)) & ? [C] : ( m1_subset_1(C,u1_struct_0(A)) & ! [D] : ( v1_xreal_0(D) => ! [E] : ( v1_xreal_0(E) => ( k3_rlvect_1(A,k1_rlvect_1(A,B,D),k1_rlvect_1(A,C,E)) = k4_struct_0(A) => ( D = k5_numbers & E = k5_numbers ) ) ) ) ) ) => ( ~ v7_struct_0(k2_analoaf(A)) & v2_analoaf(k2_analoaf(A)) & l1_analoaf(k2_analoaf(A)) ) ) ) )).
fof(t26_analort,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => r2_analort(A,D,E,B,C,k1_analort(A,D,E,B),k1_analort(A,D,E,C)) ) ) ) ) ) )).
fof(t26_anproj_1,axiom,( ! [A] : ! [B] : ( ( ~ v2_struct_0(B) & ~ v7_struct_0(B) & v13_algstr_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v8_rlvect_1(B) & l1_rlvect_1(B) ) => ( m1_subset_1(A,u1_struct_0(k5_anproj_1(B))) <=> ? [C] : ( m1_subset_1(C,u1_struct_0(B)) & ~ v9_struct_0(C,B) & A = k2_anproj_1(B,C) ) ) ) )).
fof(t26_anproj_2,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v7_struct_0(A) & v13_algstr_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v8_rlvect_1(A) & l1_rlvect_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(k5_anproj_1(A))) => ! [C] : ( m1_subset_1(C,u1_struct_0(k5_anproj_1(A))) => ! [D] : ( m1_subset_1(D,u1_struct_0(k5_anproj_1(A))) => ! [E] : ( m1_subset_1(E,u1_struct_0(k5_anproj_1(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k5_anproj_1(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k5_anproj_1(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k5_anproj_1(A))) => ~ ( r1_collsp(k5_anproj_1(A),C,H,D) & r1_collsp(k5_anproj_1(A),G,E,D) & r1_collsp(k5_anproj_1(A),C,G,B) & r1_collsp(k5_anproj_1(A),H,E,B) & r1_collsp(k5_anproj_1(A),C,E,F) & r1_collsp(k5_anproj_1(A),H,G,F) & r1_collsp(k5_anproj_1(A),B,D,F) & ~ r1_collsp(k5_anproj_1(A),C,H,E) & ~ r1_collsp(k5_anproj_1(A),C,H,G) & ~ r1_collsp(k5_anproj_1(A),C,G,E) & ~ r1_collsp(k5_anproj_1(A),H,G,E) ) ) ) ) ) ) ) ) ) )).
fof(t26_aofa_000,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & l1_unialg_1(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ( r2_tarski(B,k10_aofa_000(A)) <=> ! [C] : ( m5_margrel1(C,u1_struct_0(A),k1_unialg_2(A)) => ~ r2_tarski(B,k2_relset_1(u1_struct_0(A),C)) ) ) ) ) )).
fof(t26_aofa_a00,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ! [E] : ! [F] : ! [G] : ! [H] : ! [I] : k10_xtuple_0(k7_finseq_1(k8_aofa_a00(A,B,C,D,E,F,G,H),k9_finseq_1(I))) = k7_enumset1(A,B,C,D,E,F,G,H,I) )).
fof(t26_aofa_a01,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & ~ v11_struct_0(A) & l1_msualg_1(A) ) => ! [B] : ( ( v4_msualg_1(B,A) & l3_msualg_1(B,A) ) => ! [C] : ( ( v4_msualg_1(C,A) & l3_msualg_1(C,A) ) => ! [D] : ( m1_subset_1(D,u1_struct_0(A)) => ! [E] : ( m1_subset_1(E,u1_struct_0(A)) => ! [F] : ( m1_subset_1(F,k1_funct_1(u3_msualg_1(A,B),D)) => ! [G] : ( m1_subset_1(G,k1_funct_1(u3_msualg_1(A,B),E)) => ! [H] : ( m2_pboole(H,u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C)) => ! [I] : ( m1_subset_1(I,u4_struct_0(A)) => ( k1_msualg_1(A,I) = k2_finseq_4(u1_struct_0(A),D,E) => ! [J] : ( m1_subset_1(J,k3_msualg_1(A,I,B)) => ( J = k10_finseq_1(F,G) => k5_msualg_3(A,B,C,I,H,J) = k10_finseq_1(k3_funct_2(k1_funct_1(u3_msualg_1(A,B),D),k1_funct_1(u3_msualg_1(A,C),D),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),H,D),F),k3_funct_2(k1_funct_1(u3_msualg_1(A,B),E),k1_funct_1(u3_msualg_1(A,C),E),k2_msafree4(u1_struct_0(A),u3_msualg_1(A,B),u3_msualg_1(A,C),H,E),G)) ) ) ) ) ) ) ) ) ) ) ) ) )).
fof(t26_aofa_i00,axiom,( ! [A] : ( ( ~ v2_struct_0(A) & v2_unialg_1(A) & v3_unialg_1(A) & v4_unialg_1(A) & v3_aofa_000(A) & v4_aofa_000(A) & v5_aofa_000(A) & v6_aofa_000(A) & v2_aofa_i00(A) & l1_unialg_1(A) ) => ! [B] : ( ( ~ v1_xboole_0(B) & v4_card_3(B) ) => ! [C] : ( m2_funct_2(C,B,k4_numbers,k9_funct_2(B,k4_numbers)) => ! [D] : ( m1_subset_1(D,k1_zfmisc_1(k9_funct_2(B,k4_numbers))) => ! [E] : ( ( v1_aofa_i00(E,A,B,D) & m1_aofa_000(E,A,k9_funct_2(B,k4_numbers),D) ) => ! [F] : ( m1_aofa_i00(F,B,u1_struct_0(A),k9_funct_2(B,k4_numbers),E) => ! [G] : ( m3_aofa_i00(G,A,B,D,E) => ( k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),E,C,k47_aofa_i00(A,B,D,E,F,G)),F) = k3_funct_2(k9_funct_2(B,k4_numbers),k4_numbers,G,C) & ! [H] : ( m1_subset_1(H,B) => ( H != F => k21_aofa_i00(B,k4_numbers,k2_binop_1(k9_funct_2(B,k4_numbers),u1_struct_0(A),k9_funct_2(B,k4_numbers),E,C,k47_aofa_i00(A,B,D,E,F,G)),H) = k21_aofa_i00(B,k4_numbers,C,H) ) ) ) ) ) ) ) ) ) ) )).
fof(t26_aofa_l00,axiom,( ! [A] : ( ( v7_ordinal1(A) & ~ v1_xboole_0(A) ) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( ~ v2_struct_0(C) & ~ v11_struct_0(C) & v6_aofa_l00(C,A) & v7_aofa_l00(C,B) & l2_aofa_l00(C,B) ) => ! [D] : ( ( v17_aofa_l00(D,C) & l3_msualg_1(D,C) ) => ( r2_tarski(k1_xboole_0,k3_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,5)),u4_struct_0(C)),D)) & ! [E] : ( m1_subset_1(E,k1_msafree4(u1_struct_0(C),u3_msualg_1(C,D),u1_aofa_l00(C))) => ( r2_tarski(k12_finseq_1(k1_msafree4(u1_struct_0(C),u3_msualg_1(C,D),u1_aofa_l00(C)),E),k3_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),A),u4_struct_0(C)),D)) & ! [F] : ( m1_subset_1(F,k1_msafree4(u1_struct_0(C),u3_msualg_1(C,D),u1_aofa_l00(C))) => ( ! [G] : ( v7_ordinal1(G) => ~ ( r1_xxreal_0(1,G) & r1_xxreal_0(G,4) & ~ r2_tarski(k2_finseq_4(k1_msafree4(u1_struct_0(C),u3_msualg_1(C,D),u1_aofa_l00(C)),E,F),k3_msualg_1(C,k10_subset_1(k1_funct_1(u7_aofa_a00(C),k2_xcmplx_0(A,G)),u4_struct_0(C)),D)) ) ) & ! [G] : ( m1_subset_1(G,B) => ( r2_tarski(k12_finseq_1(k1_msafree4(u1_struct_0(C),u3_msualg_1(C,D),u1_aofa_l00(C)),E),k3_msualg_1(C,k10_subset_1(k1_binop_1(u3_aofa_l00(B,C),1,G),u4_struct_0(C)),D)) & r2_tarski(k12_finseq_1(k1_msafree4(u1_struct_0(C),u3_msualg_